(*RelTabSinf together with RelTabH1*)
(*
S[2, 1, {1/4, 1/2}, Infinity] -> -(S[-1, Infinity]*S[2, {1/4}, Infinity]) + S[3, {1/8}, Infinity] -  S[1, 2, {1/2, 1/4}, Infinity],
 S[2, 1, {1/4, 1}, Infinity] -> (S[1, {1/4}, Infinity]*S[2, {1/4}, Infinity] + 3*S[3, {1/4}, Infinity] -  S[1, 2, {1/4, 1}, Infinity])/2,
 S[1, 1, {1/2, 1/2}, Infinity] -> S[-1, Infinity]^2/2 + S[2, {1/4}, Infinity]/2, 
S[1, 1, 1, {1/2, 2, 1}, Infinity] -> (-3*S[-1, Infinity]*S[2, Infinity])/2 + (7*S[3, Infinity])/4,
S[1, 2, {1/2, 1/2}, Infinity] -> (S[-1, Infinity]*S[2, Infinity])/2 + (7*S[3, Infinity])/6 + S[3, {-1/2}, Infinity],
 S[1, 1, 1, {1/2, 1/2, 1/2}, Infinity] ->  (-S[-1, Infinity]^3 - 3*S[-1, Infinity]*S[2, {1/4}, Infinity] + 2*S[3, {1/8}, Infinity])/6, 
 S[1, 1, 1, {1/2, 1/2, 1}, Infinity] -> (2*S[-1, Infinity]^3)/3 + S[-1, Infinity]^2*S[1, {1/4}, Infinity] -  S[-1, Infinity]*(S[2, Infinity] + S[2, {1/4}, Infinity] - S[1, 1, {1/4, 1}, Infinity]) +  (-7*S[3, Infinity] - 4*S[2, Infinity]*S[1, {1/4}, Infinity] + 4*S[3, {1/4}, Infinity] - 4*S[1, 2, {1/4, 1}, 			Infinity] +   8*S[1, 1, 1, {1/4, 1, 2}, Infinity])/8,
 S[1, 1, 1, {1/2, 1, 1/2}, Infinity] -> (-7*S[-1, Infinity]^3)/6 - (3*S[-1, Infinity]^2*S[1, {1/4}, Infinity])/2 + S[-1, Infinity]*(S[2, Infinity] + S[2, {1/4}, Infinity] - 2*S[1, 1, {1/4, 1}, Infinity]) +  (7*S[3, Infinity] + 4*(S[2, Infinity]*S[1, {1/4}, Infinity] + S[1, {1/4}, Infinity]*S[2, {1/4}, 			Infinity] + 3*S[3, {1/4}, Infinity] +   S[1, 2, {1/4, 1}, Infinity] + 2*S[1, 2, {1/4, 2}, Infinity] - 4*S[1, 1, 1, {1/4, 1, 2}, Infinity]))/8,
 S[2, 1, {1/2, 1/2}, Infinity] -> -(S[-1, Infinity]*(-S[-1, Infinity]^2 + S[2, Infinity]))/2 + S[3, {1/4}, Infinity] - S[1, 2, {1/2, 1/2}, Infinity]
*)

{H[1, 1] -> sinf, H[0, 1] -> 0, H[-1, 1] -> ln2, 
 H[1, 1, 1] -> (sinf^2 - z2)/2, H[1, 0, 1] -> -z2, 
 H[1, -1, 1] -> (ln2^2 + 2*ln2*sinf - z2)/2, H[0, 1, 1] -> z2, 
 H[0, 0, 1] -> 0, H[0, -1, 1] -> z2/2, H[-1, 1, 1] -> (-ln2^2 + z2)/2, 
 H[-1, 0, 1] -> -z2/2, H[-1, -1, 1] -> ln2^2/2, 
 H[1, 1, 1, 1] -> (sinf^3 - 3*sinf*z2 + 2*z3)/6, 
 H[1, 1, 0, 1] -> -(sinf*z2) + z3, H[1, 1, -1, 1] -> 
  (4*ln2^3 + 12*ln2^2*sinf + 12*ln2*sinf^2 - 24*ln2*z2 - 12*sinf*z2 + 21*z3)/
   24, H[1, 0, 1, 1] -> sinf*z2 - 2*z3, H[1, 0, 0, 1] -> z3, 
 H[1, 0, -1, 1] -> (4*sinf*z2 - 5*z3)/8, H[1, -1, 1, 1] -> 
  (-4*ln2^3 - 6*ln2^2*sinf + 12*ln2*z2 + 6*sinf*z2 - 21*z3)/12, 
 H[1, -1, 0, 1] -> (-12*ln2*z2 - 4*sinf*z2 + 13*z3)/8, 
 H[1, -1, -1, 1] -> (8*ln2^3 + 12*ln2^2*sinf - 12*ln2*z2 + 3*z3)/24, 
 H[0, 1, 1, 1] -> z3, H[0, 1, 0, 1] -> -2*z3, 
 H[0, 1, -1, 1] -> (3*ln2*z2 - 2*z3)/2, H[0, 0, 1, 1] -> z3, 
 H[0, 0, 0, 1] -> 0, H[0, 0, -1, 1] -> (3*z3)/4, 
 H[0, -1, 1, 1] -> (-12*ln2*z2 + 13*z3)/8, H[0, -1, 0, 1] -> (-3*z3)/2, 
 H[0, -1, -1, 1] -> z3/8, H[-1, 1, 1, 1] -> (4*ln2^3 - 12*ln2*z2 + 21*z3)/24, 
 H[-1, 1, 0, 1] -> (ln2*z2 - 2*z3)/2, H[-1, 1, -1, 1] -> 
  (-2*ln2^3 + 6*ln2*z2 - 3*z3)/12, H[-1, 0, 1, 1] -> (8*ln2*z2 - 5*z3)/8, 
 H[-1, 0, 0, 1] -> (3*z3)/4, H[-1, 0, -1, 1] -> (2*ln2*z2 - z3)/4, 
 H[-1, -1, 1, 1] -> (-4*ln2^3 + 3*z3)/24, H[-1, -1, 0, 1] -> 
  (-4*ln2*z2 + z3)/8, H[-1, -1, -1, 1] -> ln2^3/6, 
 H[1, 1, 1, 1, 1] -> (5*sinf^4 - 30*sinf^2*z2 + 3*z2^2 + 40*sinf*z3)/120, 
 H[1, 1, 1, 0, 1] -> (-5*sinf^2*z2 + z2^2 + 10*sinf*z3)/10, 
 H[1, 1, 1, -1, 1] -> (-24*li4half + 4*ln2^3*sinf + 6*ln2^2*sinf^2 + 
    4*ln2*sinf^3 - 6*ln2^2*z2 - 24*ln2*sinf*z2 - 6*sinf^2*z2 + 6*z2^2 + 
    8*ln2*z3 + 21*sinf*z3)/24, H[1, 1, 0, 1, 1] -> 
  (5*sinf^2*z2 + 7*z2^2 - 20*sinf*z3)/10, H[1, 1, 0, 0, 1] -> 
  (-z2^2 + 10*sinf*z3)/10, H[1, 1, 0, -1, 1] -> 
  (24*li4half + ln2^4 - 6*ln2^2*z2 + 6*sinf^2*z2 - 9*z2^2 + 21*ln2*z3 - 
    15*sinf*z3)/24, H[1, 1, -1, 1, 1] -> 
  (36*li4half - 4*ln2^3*sinf - 3*ln2^2*sinf^2 + 3*ln2^2*z2 + 12*ln2*sinf*z2 + 
    3*sinf^2*z2 - 3*z2^2 - 21*sinf*z3)/12, H[1, 1, -1, 0, 1] -> 
  (-120*li4half - 5*ln2^4 - 60*ln2*sinf*z2 - 10*sinf^2*z2 + 32*z2^2 + 
    65*sinf*z3)/40, H[1, 1, -1, -1, 1] -> 
  (15*ln2^4 + 40*ln2^3*sinf + 30*ln2^2*sinf^2 - 90*ln2^2*z2 - 
    60*ln2*sinf*z2 - 6*z2^2 + 120*ln2*z3 + 15*sinf*z3)/120, 
 H[1, 0, 1, 1, 1] -> (-6*z2^2 + 5*sinf*z3)/5, 
 H[1, 0, 1, 0, 1] -> (7*z2^2 - 20*sinf*z3)/10, 
 H[1, 0, 1, -1, 1] -> (120*li4half + 5*ln2^4 - 30*ln2^2*z2 + 
    180*ln2*sinf*z2 + 3*z2^2 - 210*ln2*z3 - 120*sinf*z3)/120, 
 H[1, 0, 0, 1, 1] -> (-z2^2 + 2*sinf*z3)/2, H[1, 0, 0, 0, 1] -> (-2*z2^2)/5, 
 H[1, 0, 0, -1, 1] -> (120*li4half + 5*ln2^4 - 30*ln2^2*z2 - 66*z2^2 + 
    105*ln2*z3 + 45*sinf*z3)/60, H[1, 0, -1, 1, 1] -> 
  (-120*li4half - 5*ln2^4 + 30*ln2^2*z2 - 60*ln2*sinf*z2 + 9*z2^2 + 
    65*sinf*z3)/40, H[1, 0, -1, 0, 1] -> (17*z2^2 - 60*sinf*z3)/40, 
 H[1, 0, -1, -1, 1] -> (-3*z2^2 + 5*sinf*z3)/40, 
 H[1, -1, 1, 1, 1] -> (-72*li4half + 4*ln2^3*sinf - 12*ln2*sinf*z2 + 
    21*sinf*z3)/24, H[1, -1, 1, 0, 1] -> 
  (24*li4half + ln2^4 + 2*ln2^2*z2 + 4*ln2*sinf*z2 - 3*z2^2 - 8*sinf*z3)/8, 
 H[1, -1, 1, -1, 1] -> (-15*ln2^4 - 20*ln2^3*sinf + 90*ln2^2*z2 + 
    60*ln2*sinf*z2 + 27*z2^2 - 240*ln2*z3 - 30*sinf*z3)/120, 
 H[1, -1, 0, 1, 1] -> (120*li4half + 5*ln2^4 - 10*ln2^2*z2 + 40*ln2*sinf*z2 - 
    29*z2^2 - 25*sinf*z3)/40, H[1, -1, 0, 0, 1] -> 
  (-120*li4half - 5*ln2^4 + 30*ln2^2*z2 + 12*z2^2 + 45*sinf*z3)/60, 
 H[1, -1, 0, -1, 1] -> (96*li4half + 4*ln2^4 - 18*ln2^2*z2 + 12*ln2*sinf*z2 - 
    36*z2^2 + 63*ln2*z3 - 6*sinf*z3)/24, H[1, -1, -1, 1, 1] -> 
  (-3*ln2^4 - 4*ln2^3*sinf + 6*ln2^2*z2 - 3*z2^2 + 3*sinf*z3)/24, 
 H[1, -1, -1, 0, 1] -> (-240*li4half - 10*ln2^4 - 60*ln2^2*z2 - 
    60*ln2*sinf*z2 + 84*z2^2 + 15*sinf*z3)/120, 
 H[1, -1, -1, -1, 1] -> (30*li4half + 5*ln2^4 + 5*ln2^3*sinf - 15*ln2^2*z2 - 
    12*z2^2 + 30*ln2*z3)/30, H[0, 1, 1, 1, 1] -> (2*z2^2)/5, 
 H[0, 1, 1, 0, 1] -> -z2^2/2, H[0, 1, 1, -1, 1] -> 
  (120*li4half + 5*ln2^4 + 60*ln2^2*z2 - 54*z2^2 + 105*ln2*z3)/120, 
 H[0, 1, 0, 1, 1] -> (3*z2^2)/10, H[0, 1, 0, 0, 1] -> (6*z2^2)/5, 
 H[0, 1, 0, -1, 1] -> (-480*li4half - 20*ln2^4 + 120*ln2^2*z2 + 213*z2^2 - 
    420*ln2*z3)/120, H[0, 1, -1, 1, 1] -> 
  (-24*li4half - ln2^4 - 6*ln2^2*z2 + 7*z2^2)/8, 
 H[0, 1, -1, 0, 1] -> (480*li4half + 20*ln2^4 - 120*ln2^2*z2 - 99*z2^2)/120, 
 H[0, 1, -1, -1, 1] -> (-48*li4half - 2*ln2^4 + 30*ln2^2*z2 + 21*z2^2 - 
    63*ln2*z3)/24, H[0, 0, 1, 1, 1] -> z2^2/10, 
 H[0, 0, 1, 0, 1] -> (-6*z2^2)/5, H[0, 0, 1, -1, 1] -> 
  (-19*z2^2 + 70*ln2*z3)/40, H[0, 0, 0, 1, 1] -> (2*z2^2)/5, 
 H[0, 0, 0, 0, 1] -> 0, H[0, 0, 0, -1, 1] -> (7*z2^2)/20, 
 H[0, 0, -1, 1, 1] -> (120*li4half + 5*ln2^4 - 30*ln2^2*z2 - 12*z2^2)/60, 
 H[0, 0, -1, 0, 1] -> (-21*z2^2)/20, H[0, 0, -1, -1, 1] -> 
  (24*li4half + ln2^4 - 6*ln2^2*z2 - 9*z2^2 + 21*ln2*z3)/12, 
 H[0, -1, 1, 1, 1] -> (120*li4half + 5*ln2^4 - 22*z2^2)/40, 
 H[0, -1, 1, 0, 1] -> (-480*li4half - 20*ln2^4 + 120*ln2^2*z2 + 39*z2^2)/120, 
 H[0, -1, 1, -1, 1] -> (-60*ln2^2*z2 - 14*z2^2 + 105*ln2*z3)/40, 
 H[0, -1, 0, 1, 1] -> (3*z2^2)/40, H[0, -1, 0, 0, 1] -> (21*z2^2)/20, 
 H[0, -1, 0, -1, 1] -> (-96*li4half - 4*ln2^4 + 24*ln2^2*z2 + 39*z2^2 - 
    84*ln2*z3)/24, H[0, -1, -1, 1, 1] -> 
  (120*li4half + 5*ln2^4 + 15*ln2^2*z2 - 27*z2^2)/60, 
 H[0, -1, -1, 0, 1] -> -z2^2/8, H[0, -1, -1, -1, 1] -> 
  (-120*li4half - 5*ln2^4 + 30*ln2^2*z2 + 48*z2^2 - 105*ln2*z3)/120, 
 H[-1, 1, 1, 1, 1] -> li4half, H[-1, 1, 1, 0, 1] -> 
  (-120*li4half - 5*ln2^4 - 6*z2^2 + 15*ln2*z3)/120, 
 H[-1, 1, 1, -1, 1] -> (ln2^4 - 6*ln2^2*z2 - 3*z2^2 + 21*ln2*z3)/24, 
 H[-1, 1, 0, 1, 1] -> (-120*li4half - 5*ln2^4 - 30*ln2^2*z2 + 57*z2^2 - 
    30*ln2*z3)/120, H[-1, 1, 0, 0, 1] -> (19*z2^2 - 30*ln2*z3)/40, 
 H[-1, 1, 0, -1, 1] -> (-240*li4half - 10*ln2^4 + 45*ln2^2*z2 + 99*z2^2 - 
    195*ln2*z3)/60, H[-1, 1, -1, 1, 1] -> 
  (5*ln2^4 - 30*ln2^2*z2 + 3*z2^2 + 30*ln2*z3)/120, 
 H[-1, 1, -1, 0, 1] -> (5*ln2^2*z2 + 2*z2^2 - 20*ln2*z3)/20, 
 H[-1, 1, -1, -1, 1] -> (-360*li4half - 20*ln2^4 + 120*ln2^2*z2 + 144*z2^2 - 
    345*ln2*z3)/120, H[-1, 0, 1, 1, 1] -> 
  (-24*li4half - ln2^4 + 6*ln2^2*z2 + 3*z2^2 + 3*ln2*z3)/24, 
 H[-1, 0, 1, 0, 1] -> (480*li4half + 20*ln2^4 - 120*ln2^2*z2 - 153*z2^2 + 
    180*ln2*z3)/120, H[-1, 0, 1, -1, 1] -> 
  (480*li4half + 20*ln2^4 + 60*ln2^2*z2 - 168*z2^2 + 195*ln2*z3)/120, 
 H[-1, 0, 0, 1, 1] -> (-120*li4half - 5*ln2^4 + 30*ln2^2*z2 + 36*z2^2 - 
    45*ln2*z3)/60, H[-1, 0, 0, 0, 1] -> (-7*z2^2)/20, 
 H[-1, 0, 0, -1, 1] -> (-z2^2 + 6*ln2*z3)/8, 
 H[-1, 0, -1, 1, 1] -> (-48*li4half - 2*ln2^4 - 6*ln2^2*z2 + 15*z2^2 - 
    12*ln2*z3)/12, H[-1, 0, -1, 0, 1] -> 
  (96*li4half + 4*ln2^4 - 24*ln2^2*z2 - 33*z2^2 + 48*ln2*z3)/24, 
 H[-1, 0, -1, -1, 1] -> (120*li4half + 5*ln2^4 - 30*ln2^2*z2 - 48*z2^2 + 
    110*ln2*z3)/40, H[-1, -1, 1, 1, 1] -> (5*ln2^4 + 6*z2^2 - 15*ln2*z3)/120, 
 H[-1, -1, 1, 0, 1] -> (48*li4half + 2*ln2^4 - 6*ln2^2*z2 - 21*z2^2 + 
    39*ln2*z3)/24, H[-1, -1, 1, -1, 1] -> 
  (180*li4half + 5*ln2^4 - 45*ln2^2*z2 - 72*z2^2 + 165*ln2*z3)/60, 
 H[-1, -1, 0, 1, 1] -> (20*ln2^2*z2 + 3*z2^2 - 25*ln2*z3)/40, 
 H[-1, -1, 0, 0, 1] -> (-24*li4half - ln2^4 + 6*ln2^2*z2 + 9*z2^2 - 
    12*ln2*z3)/12, H[-1, -1, 0, -1, 1] -> 
  (-120*li4half - 5*ln2^4 + 40*ln2^2*z2 + 48*z2^2 - 115*ln2*z3)/40, 
 H[-1, -1, -1, 1, 1] -> (-120*li4half - 10*ln2^4 + 30*ln2^2*z2 + 48*z2^2 - 
    105*ln2*z3)/120, H[-1, -1, -1, 0, 1] -> 
  (120*li4half + 5*ln2^4 - 60*ln2^2*z2 - 48*z2^2 + 120*ln2*z3)/120, 
 H[-1, -1, -1, -1, 1] -> ln2^4/24, H[1, 1, 1, 1, 1, 1] -> 
  (sinf^5 - 10*sinf^3*z2 + 3*sinf*z2^2 + 20*sinf^2*z3 - 20*z2*z3 + 24*z5)/
   120, H[1, 1, 1, 1, 0, 1] -> (-5*sinf^3*z2 + 3*sinf*z2^2 + 15*sinf^2*z3 - 
    25*z2*z3 + 30*z5)/30, H[1, 1, 1, 1, -1, 1] -> 
  (240*li5half - 240*li4half*sinf + 20*ln2^3*sinf^2 + 20*ln2^2*sinf^3 + 
    10*ln2*sinf^4 - 20*ln2^3*z2 - 60*ln2^2*sinf*z2 - 120*ln2*sinf^2*z2 - 
    20*sinf^3*z2 + 66*ln2*z2^2 + 60*sinf*z2^2 + 40*ln2^2*z3 + 
    80*ln2*sinf*z3 + 105*sinf^2*z3 - 145*z2*z3)/240, 
 H[1, 1, 1, 0, 1, 1] -> (5*sinf^3*z2 + 21*sinf*z2^2 - 30*sinf^2*z3 + 
    40*z2*z3 - 120*z5)/30, H[1, 1, 1, 0, 0, 1] -> 
  (-(sinf*z2^2) + 5*sinf^2*z3 - 15*z2*z3 + 20*z5)/10, 
 H[1, 1, 1, 0, -1, 1] -> (480*li5half + 480*li4half*ln2 + 16*ln2^5 + 
    480*li4half*sinf + 20*ln2^4*sinf - 80*ln2^3*z2 - 120*ln2^2*sinf*z2 + 
    40*sinf^3*z2 - 180*sinf*z2^2 + 210*ln2^2*z3 + 420*ln2*sinf*z3 - 
    150*sinf^2*z3 + 20*z2*z3 - 405*z5)/480, H[1, 1, 1, -1, 1, 1] -> 
  (-96*li5half + 72*li4half*sinf - 4*ln2^3*sinf^2 - 2*ln2^2*sinf^3 + 
    4*ln2^3*z2 + 6*ln2^2*sinf*z2 + 12*ln2*sinf^2*z2 + 2*sinf^3*z2 - 
    12*ln2*z2^2 - 6*sinf*z2^2 - 4*ln2^2*z3 - 21*sinf^2*z3 + 25*z2*z3)/24, 
 H[1, 1, 1, -1, 0, 1] -> (1440*li5half - 12*ln2^5 - 1440*li4half*sinf - 
    60*ln2^4*sinf - 360*ln2*sinf^2*z2 - 40*sinf^3*z2 + 432*ln2*z2^2 + 
    384*sinf*z2^2 + 390*sinf^2*z3 - 890*z2*z3 - 15*z5)/480, 
 H[1, 1, 1, -1, -1, 1] -> (480*li5half + 12*ln2^5 + 60*ln2^4*sinf + 
    80*ln2^3*sinf^2 + 40*ln2^2*sinf^3 - 160*ln2^3*z2 - 360*ln2^2*sinf*z2 - 
    120*ln2*sinf^2*z2 + 96*ln2*z2^2 - 24*sinf*z2^2 + 320*ln2^2*z3 + 
    480*ln2*sinf*z3 + 30*sinf^2*z3 - 270*z2*z3 + 15*z5)/480, 
 H[1, 1, 0, 1, 1, 1] -> (-12*sinf*z2^2 + 5*sinf^2*z3 - 5*z2*z3 + 60*z5)/10, 
 H[1, 1, 0, 1, 0, 1] -> (7*sinf*z2^2 - 10*sinf^2*z3 + 30*z2*z3 - 55*z5)/10, 
 H[1, 1, 0, 1, -1, 1] -> (-3840*li5half - 2880*li4half*ln2 - 88*ln2^5 + 
    960*li4half*sinf + 40*ln2^4*sinf + 400*ln2^3*z2 - 240*ln2^2*sinf*z2 + 
    720*ln2*sinf^2*z2 + 312*ln2*z2^2 + 24*sinf*z2^2 - 840*ln2^2*z3 - 
    1680*ln2*sinf*z3 - 480*sinf^2*z3 + 1320*z2*z3 + 1215*z5)/960, 
 H[1, 1, 0, 0, 1, 1] -> (-(sinf*z2^2) + sinf^2*z3 + z2*z3 - z5)/2, 
 H[1, 1, 0, 0, 0, 1] -> (-2*sinf*z2^2 - 5*z2*z3 + 10*z5)/5, 
 H[1, 1, 0, 0, -1, 1] -> (960*li5half + 960*li4half*ln2 + 32*ln2^5 + 
    960*li4half*sinf + 40*ln2^4*sinf - 160*ln2^3*z2 - 240*ln2^2*sinf*z2 - 
    528*sinf*z2^2 + 420*ln2^2*z3 + 840*ln2*sinf*z3 + 180*sinf^2*z3 - 
    360*z2*z3 - 225*z5)/480, H[1, 1, 0, -1, 1, 1] -> 
  (960*li5half - 8*ln2^5 - 2880*li4half*sinf - 120*ln2^4*sinf + 80*ln2^3*z2 + 
    720*ln2^2*sinf*z2 - 720*ln2*sinf^2*z2 - 312*ln2*z2^2 + 216*sinf*z2^2 - 
    420*ln2^2*z3 + 780*sinf^2*z3 - 360*z2*z3 + 1215*z5)/960, 
 H[1, 1, 0, -1, 0, 1] -> (68*sinf*z2^2 - 120*sinf^2*z3 + 150*z2*z3 - 205*z5)/
   160, H[1, 1, 0, -1, -1, 1] -> (480*li5half + 480*li4half*ln2 + 16*ln2^5 - 
    80*ln2^3*z2 - 36*sinf*z2^2 + 210*ln2^2*z3 + 30*sinf^2*z3 - 30*z2*z3 - 
    375*z5)/480, H[1, 1, -1, 1, 1, 1] -> 
  (288*li5half - 144*li4half*sinf + 4*ln2^3*sinf^2 - 4*ln2^3*z2 - 
    12*ln2*sinf^2*z2 + 12*ln2*z2^2 + 21*sinf^2*z3 - 21*z2*z3)/48, 
 H[1, 1, -1, 1, 0, 1] -> (-5760*li5half + 48*ln2^5 + 2880*li4half*sinf + 
    120*ln2^4*sinf + 80*ln2^3*z2 + 240*ln2^2*sinf*z2 + 240*ln2*sinf^2*z2 - 
    1128*ln2*z2^2 - 360*sinf*z2^2 - 480*sinf^2*z3 + 2160*z2*z3 + 435*z5)/960, 
 H[1, 1, -1, 1, -1, 1] -> (-2880*li5half - 24*ln2^5 - 120*ln2^4*sinf - 
    80*ln2^3*sinf^2 + 320*ln2^3*z2 + 720*ln2^2*sinf*z2 + 240*ln2*sinf^2*z2 - 
    24*ln2*z2^2 + 216*sinf*z2^2 - 960*ln2^2*z3 - 1920*ln2*sinf*z3 - 
    120*sinf^2*z3 + 1080*z2*z3 + 345*z5)/960, 
 H[1, 1, -1, 0, 1, 1] -> (-2880*li5half + 24*ln2^5 + 2880*li4half*sinf + 
    120*ln2^4*sinf - 80*ln2^3*z2 - 240*ln2^2*sinf*z2 + 480*ln2*sinf^2*z2 - 
    24*ln2*z2^2 - 696*sinf*z2^2 - 300*sinf^2*z3 + 1140*z2*z3 - 345*z5)/960, 
 H[1, 1, -1, 0, 0, 1] -> (240*li5half - 2*ln2^5 - 240*li4half*sinf - 
    10*ln2^4*sinf + 20*ln2^3*z2 + 60*ln2^2*sinf*z2 + 12*ln2*z2^2 + 
    24*sinf*z2^2 + 45*sinf^2*z3 - 240*z2*z3 + 225*z5)/120, 
 H[1, 1, -1, 0, -1, 1] -> (-1440*li5half - 240*li4half*ln2 + 2*ln2^5 + 
    960*li4half*sinf + 40*ln2^4*sinf - 40*ln2^3*z2 - 180*ln2^2*sinf*z2 + 
    60*ln2*sinf^2*z2 - 450*ln2*z2^2 - 360*sinf*z2^2 + 315*ln2^2*z3 + 
    630*ln2*sinf*z3 - 30*sinf^2*z3 - 180*z2*z3 + 1830*z5)/240, 
 H[1, 1, -1, -1, 1, 1] -> (-48*ln2^5 - 120*ln2^4*sinf - 80*ln2^3*sinf^2 + 
    320*ln2^3*z2 + 240*ln2^2*sinf*z2 - 72*ln2*z2^2 - 120*sinf*z2^2 - 
    480*ln2^2*z3 + 60*sinf^2*z3 + 420*z2*z3 - 435*z5)/960, 
 H[1, 1, -1, -1, 0, 1] -> (2400*li5half - 20*ln2^5 - 960*li4half*sinf - 
    40*ln2^4*sinf - 80*ln2^3*z2 - 240*ln2^2*sinf*z2 - 120*ln2*sinf^2*z2 + 
    720*ln2*z2^2 + 336*sinf*z2^2 + 30*sinf^2*z3 - 330*z2*z3 - 1845*z5)/480, 
 H[1, 1, -1, -1, -1, 1] -> (-480*li5half + 28*ln2^5 + 480*li4half*sinf + 
    80*ln2^4*sinf + 40*ln2^3*sinf^2 - 200*ln2^3*z2 - 240*ln2^2*sinf*z2 - 
    216*ln2*z2^2 - 192*sinf*z2^2 + 480*ln2^2*z3 + 480*ln2*sinf*z3 - 
    240*z2*z3 + 945*z5)/480, H[1, 0, 1, 1, 1, 1] -> 
  (2*(sinf*z2^2 - 10*z5))/5, H[1, 0, 1, 1, 0, 1] -> 
  (-(sinf*z2^2) - 2*z2*z3 + 9*z5)/2, H[1, 0, 1, 1, -1, 1] -> 
  (1920*li5half + 2880*li4half*ln2 + 104*ln2^5 + 960*li4half*sinf + 
    40*ln2^4*sinf - 560*ln2^3*z2 + 480*ln2^2*sinf*z2 - 1128*ln2*z2^2 - 
    432*sinf*z2^2 + 420*ln2^2*z3 + 840*ln2*sinf*z3 - 420*z2*z3 - 345*z5)/960, 
 H[1, 0, 1, 0, 1, 1] -> (3*sinf*z2^2 - 20*z2*z3 + 20*z5)/10, 
 H[1, 0, 1, 0, 0, 1] -> (12*sinf*z2^2 + 20*z2*z3 - 55*z5)/10, 
 H[1, 0, 1, 0, -1, 1] -> (-3840*li5half - 3840*li4half*ln2 - 128*ln2^5 - 
    3840*li4half*sinf - 160*ln2^4*sinf + 640*ln2^3*z2 + 960*ln2^2*sinf*z2 + 
    1704*sinf*z2^2 - 1680*ln2^2*z3 - 3360*ln2*sinf*z3 + 720*z2*z3 + 1335*z5)/
   960, H[1, 0, 1, -1, 1, 1] -> (960*li5half - 8*ln2^5 - 720*li4half*sinf - 
    30*ln2^4*sinf + 80*ln2^3*z2 - 180*ln2^2*sinf*z2 + 48*ln2*z2^2 + 
    210*sinf*z2^2 + 210*ln2^2*z3 - 210*z2*z3 - 435*z5)/240, 
 H[1, 0, 1, -1, 0, 1] -> (3840*li4half*sinf + 160*ln2^4*sinf - 
    960*ln2^2*sinf*z2 + 1080*ln2*z2^2 - 792*sinf*z2^2 + 1800*z2*z3 - 3855*z5)/
   960, H[1, 0, 1, -1, -1, 1] -> (-3840*li5half - 2880*li4half*ln2 - 
    88*ln2^5 - 1920*li4half*sinf - 80*ln2^4*sinf + 400*ln2^3*z2 + 
    1200*ln2^2*sinf*z2 - 48*ln2*z2^2 + 840*sinf*z2^2 - 2100*ln2^2*z3 - 
    2520*ln2*sinf*z3 + 1260*z2*z3 + 1275*z5)/960, 
 H[1, 0, 0, 1, 1, 1] -> (sinf*z2^2 - 5*z5)/10, 
 H[1, 0, 0, 1, 0, 1] -> (-12*sinf*z2^2 - 10*z2*z3 + 45*z5)/10, 
 H[1, 0, 0, 1, -1, 1] -> (-1920*li5half + 16*ln2^5 - 160*ln2^3*z2 - 
    1536*ln2*z2^2 - 456*sinf*z2^2 + 840*ln2^2*z3 + 1680*ln2*sinf*z3 - 
    840*z2*z3 + 4665*z5)/960, H[1, 0, 0, 0, 1, 1] -> 
  (2*sinf*z2^2 + 5*z2*z3 - 15*z5)/5, H[1, 0, 0, 0, 0, 1] -> z5, 
 H[1, 0, 0, 0, -1, 1] -> (56*sinf*z2^2 + 80*z2*z3 - 295*z5)/160, 
 H[1, 0, 0, -1, 1, 1] -> (480*li5half - 4*ln2^5 + 480*li4half*sinf + 
    20*ln2^4*sinf + 40*ln2^3*z2 - 120*ln2^2*sinf*z2 + 384*ln2*z2^2 - 
    48*sinf*z2^2 - 210*ln2^2*z3 + 210*z2*z3 - 1275*z5)/240, 
 H[1, 0, 0, -1, 0, 1] -> (-84*sinf*z2^2 - 130*z2*z3 + 415*z5)/80, 
 H[1, 0, 0, -1, -1, 1] -> (960*li5half + 960*li4half*ln2 + 32*ln2^5 + 
    480*li4half*sinf + 20*ln2^4*sinf - 160*ln2^3*z2 - 120*ln2^2*sinf*z2 - 
    180*sinf*z2^2 + 420*ln2^2*z3 + 420*ln2*sinf*z3 - 210*z2*z3 - 585*z5)/240, 
 H[1, 0, -1, 1, 1, 1] -> (-960*li5half + 8*ln2^5 + 960*li4half*sinf + 
    40*ln2^4*sinf - 80*ln2^3*z2 + 312*ln2*z2^2 - 176*sinf*z2^2 - 115*z5)/320, 
 H[1, 0, -1, 1, 0, 1] -> (-3840*li4half*sinf - 160*ln2^4*sinf + 
    960*ln2^2*sinf*z2 - 1080*ln2*z2^2 + 312*sinf*z2^2 - 1560*z2*z3 + 5445*z5)/
   960, H[1, 0, -1, 1, -1, 1] -> (4800*li5half + 960*li4half*ln2 + 
    160*ln2^3*z2 - 1440*ln2^2*sinf*z2 + 192*ln2*z2^2 - 336*sinf*z2^2 + 
    1260*ln2^2*z3 + 2520*ln2*sinf*z3 - 1260*z2*z3 - 1515*z5)/960, 
 H[1, 0, -1, 0, 1, 1] -> (12*sinf*z2^2 - 100*z2*z3 + 145*z5)/160, 
 H[1, 0, -1, 0, 0, 1] -> (84*sinf*z2^2 + 120*z2*z3 - 335*z5)/80, 
 H[1, 0, -1, 0, -1, 1] -> (-1920*li5half - 1920*li4half*ln2 - 64*ln2^5 - 
    1920*li4half*sinf - 80*ln2^4*sinf + 320*ln2^3*z2 + 480*ln2^2*sinf*z2 + 
    780*sinf*z2^2 - 840*ln2^2*z3 - 1680*ln2*sinf*z3 + 690*z2*z3 + 495*z5)/
   480, H[1, 0, -1, -1, 1, 1] -> (-720*li5half + 6*ln2^5 + 480*li4half*sinf + 
    20*ln2^4*sinf - 60*ln2^3*z2 + 60*ln2^2*sinf*z2 - 36*ln2*z2^2 - 
    108*sinf*z2^2 + 435*z5)/240, H[1, 0, -1, -1, 0, 1] -> 
  (-(sinf*z2^2) - z2*z3 + 5*z5)/8, H[1, 0, -1, -1, -1, 1] -> 
  (-240*li5half - 240*li4half*ln2 - 8*ln2^5 - 240*li4half*sinf - 
    10*ln2^4*sinf + 40*ln2^3*z2 + 60*ln2^2*sinf*z2 + 96*sinf*z2^2 - 
    105*ln2^2*z3 - 210*ln2*sinf*z3 + 105*z2*z3 + 30*z5)/240, 
 H[1, -1, 1, 1, 1, 1] -> -4*li5half + li4half*sinf, 
 H[1, -1, 1, 1, 0, 1] -> (3840*li5half - 32*ln2^5 - 960*li4half*sinf - 
    40*ln2^4*sinf - 80*ln2^3*z2 + 312*ln2*z2^2 - 48*sinf*z2^2 + 60*ln2^2*z3 + 
    120*ln2*sinf*z3 - 900*z2*z3 + 435*z5)/960, 
 H[1, -1, 1, 1, -1, 1] -> (2880*li5half + 8*ln2^5 + 40*ln2^4*sinf - 
    80*ln2^3*z2 - 240*ln2^2*sinf*z2 - 120*ln2*z2^2 - 120*sinf*z2^2 + 
    420*ln2^2*z3 + 840*ln2*sinf*z3 - 420*z2*z3 - 1215*z5)/960, 
 H[1, -1, 1, 0, 1, 1] -> (960*li5half - 8*ln2^5 - 240*li4half*sinf - 
    10*ln2^4*sinf - 60*ln2^2*sinf*z2 + 288*ln2*z2^2 + 114*sinf*z2^2 - 
    30*ln2^2*z3 - 60*ln2*sinf*z3 - 390*z2*z3 - 435*z5)/240, 
 H[1, -1, 1, 0, 0, 1] -> (-1920*li5half + 16*ln2^5 - 160*ln2^3*z2 + 
    264*ln2*z2^2 + 456*sinf*z2^2 - 360*ln2^2*z3 - 720*ln2*sinf*z3 + 
    1320*z2*z3 - 2385*z5)/960, H[1, -1, 1, 0, -1, 1] -> 
  (10560*li5half + 2880*li4half*ln2 + 32*ln2^5 - 3840*li4half*sinf - 
    160*ln2^4*sinf + 720*ln2^2*sinf*z2 + 3024*ln2*z2^2 + 1584*sinf*z2^2 - 
    1560*ln2^2*z3 - 3120*ln2*sinf*z3 + 720*z2*z3 - 12675*z5)/960, 
 H[1, -1, 1, -1, 1, 1] -> (8*ln2^5 + 10*ln2^4*sinf - 80*ln2^3*z2 - 
    60*ln2^2*sinf*z2 - 48*ln2*z2^2 + 6*sinf*z2^2 + 270*ln2^2*z3 + 
    60*ln2*sinf*z3 - 270*z2*z3 + 435*z5)/240, 
 H[1, -1, 1, -1, 0, 1] -> (-2880*li5half + 24*ln2^5 + 160*ln2^3*z2 + 
    240*ln2^2*sinf*z2 - 264*ln2*z2^2 + 96*sinf*z2^2 - 480*ln2^2*z3 - 
    960*ln2*sinf*z3 + 1680*z2*z3 - 435*z5)/960, 
 H[1, -1, 1, -1, -1, 1] -> (2880*li5half - 56*ln2^5 - 2880*li4half*sinf - 
    160*ln2^4*sinf + 560*ln2^3*z2 + 960*ln2^2*sinf*z2 + 1368*ln2*z2^2 + 
    1152*sinf*z2^2 - 2340*ln2^2*z3 - 2760*ln2*sinf*z3 + 1380*z2*z3 - 5625*z5)/
   960, H[1, -1, 0, 1, 1, 1] -> (960*li5half - 8*ln2^5 - 960*li4half*sinf - 
    40*ln2^4*sinf + 80*ln2^3*z2 + 240*ln2^2*sinf*z2 - 1032*ln2*z2^2 + 
    120*sinf*z2^2 + 60*ln2^2*z3 + 120*ln2*sinf*z3 - 60*z2*z3 + 1215*z5)/960, 
 H[1, -1, 0, 1, 0, 1] -> (-3840*li5half + 32*ln2^5 + 3840*li4half*sinf + 
    160*ln2^4*sinf - 320*ln2^3*z2 - 960*ln2^2*sinf*z2 - 552*ln2*z2^2 - 
    1224*sinf*z2^2 + 720*ln2^2*z3 + 1440*ln2*sinf*z3 - 120*z2*z3 + 3885*z5)/
   960, H[1, -1, 0, 1, -1, 1] -> (-12480*li5half - 960*li4half*ln2 + 
    64*ln2^5 + 3840*li4half*sinf + 160*ln2^4*sinf - 80*ln2^3*z2 + 
    480*ln2^2*sinf*z2 - 3456*ln2*z2^2 - 1344*sinf*z2^2 + 780*ln2^2*z3 + 
    1560*ln2*sinf*z3 - 780*z2*z3 + 13665*z5)/960, 
 H[1, -1, 0, 0, 1, 1] -> (480*li5half - 4*ln2^5 - 480*li4half*sinf - 
    20*ln2^4*sinf + 40*ln2^3*z2 + 120*ln2^2*sinf*z2 + 24*ln2*z2^2 + 
    144*sinf*z2^2 - 90*ln2^2*z3 - 180*ln2*sinf*z3 + 480*z2*z3 - 1275*z5)/240, 
 H[1, -1, 0, 0, 0, 1] -> (-120*ln2*z2^2 - 56*sinf*z2^2 - 120*z2*z3 + 455*z5)/
   160, H[1, -1, 0, 0, -1, 1] -> (-960*li5half - 480*li4half*ln2 - 12*ln2^5 + 
    40*ln2^3*z2 - 294*ln2*z2^2 - 30*sinf*z2^2 + 90*ln2^2*z3 + 
    180*ln2*sinf*z3 + 105*z2*z3 + 810*z5)/240, 
 H[1, -1, 0, -1, 1, 1] -> (6720*li5half - 56*ln2^5 - 1920*li4half*sinf - 
    80*ln2^4*sinf + 200*ln2^3*z2 - 240*ln2^2*sinf*z2 + 1776*ln2*z2^2 + 
    600*sinf*z2^2 - 870*ln2^2*z3 - 480*ln2*sinf*z3 + 870*z2*z3 - 7815*z5)/
   480, H[1, -1, 0, -1, 0, 1] -> (-960*li5half + 8*ln2^5 + 960*li4half*sinf + 
    40*ln2^4*sinf - 80*ln2^3*z2 - 240*ln2^2*sinf*z2 - 228*ln2*z2^2 - 
    330*sinf*z2^2 + 240*ln2^2*z3 + 480*ln2*sinf*z3 - 495*z2*z3 + 1935*z5)/
   240, H[1, -1, 0, -1, -1, 1] -> 
  (480*li4half*ln2 + 20*ln2^5 + 480*li4half*sinf + 20*ln2^4*sinf - 
    120*ln2^3*z2 - 120*ln2^2*sinf*z2 - 204*ln2*z2^2 - 192*sinf*z2^2 + 
    430*ln2^2*z3 + 440*ln2*sinf*z3 - 220*z2*z3 + 435*z5)/160, 
 H[1, -1, -1, 1, 1, 1] -> (32*ln2^5 + 40*ln2^4*sinf - 80*ln2^3*z2 + 
    168*ln2*z2^2 + 48*sinf*z2^2 - 60*ln2^2*z3 - 120*ln2*sinf*z3 + 60*z2*z3 - 
    435*z5)/960, H[1, -1, -1, 1, 0, 1] -> 
  (-3840*li5half + 32*ln2^5 + 1920*li4half*sinf + 80*ln2^4*sinf + 
    80*ln2^3*z2 - 240*ln2^2*sinf*z2 - 1512*ln2*z2^2 - 840*sinf*z2^2 + 
    780*ln2^2*z3 + 1560*ln2*sinf*z3 - 900*z2*z3 + 6075*z5)/960, 
 H[1, -1, -1, 1, -1, 1] -> (-2880*li5half - 8*ln2^5 + 2880*li4half*sinf + 
    80*ln2^4*sinf - 160*ln2^3*z2 - 720*ln2^2*sinf*z2 - 1272*ln2*z2^2 - 
    1152*sinf*z2^2 + 1320*ln2^2*z3 + 2640*ln2*sinf*z3 - 1320*z2*z3 + 5535*z5)/
   960, H[1, -1, -1, 0, 1, 1] -> (-720*li5half + 6*ln2^5 + 20*ln2^3*z2 + 
    120*ln2^2*sinf*z2 - 156*ln2*z2^2 + 18*sinf*z2^2 - 75*ln2^2*z3 - 
    150*ln2*sinf*z3 + 105*z2*z3 + 435*z5)/240, 
 H[1, -1, -1, 0, 0, 1] -> (1920*li5half - 16*ln2^5 - 960*li4half*sinf - 
    40*ln2^4*sinf + 160*ln2^3*z2 + 240*ln2^2*sinf*z2 + 456*ln2*z2^2 + 
    360*sinf*z2^2 - 240*ln2^2*z3 - 480*ln2*sinf*z3 + 180*z2*z3 - 2295*z5)/
   480, H[1, -1, -1, 0, -1, 1] -> (-1920*li5half - 1440*li4half*ln2 - 
    44*ln2^5 - 1440*li4half*sinf - 60*ln2^4*sinf + 280*ln2^3*z2 + 
    480*ln2^2*sinf*z2 - 144*ln2*z2^2 + 576*sinf*z2^2 - 690*ln2^2*z3 - 
    1380*ln2*sinf*z3 + 720*z2*z3 + 525*z5)/480, 
 H[1, -1, -1, -1, 1, 1] -> (960*li5half - 24*ln2^5 - 480*li4half*sinf - 
    40*ln2^4*sinf + 120*ln2^3*z2 + 120*ln2^2*sinf*z2 + 384*ln2*z2^2 + 
    192*sinf*z2^2 - 450*ln2^2*z3 - 420*ln2*sinf*z3 + 450*z2*z3 - 1845*z5)/
   480, H[1, -1, -1, -1, 0, 1] -> (240*li5half - 2*ln2^5 + 240*li4half*sinf + 
    10*ln2^4*sinf - 80*ln2^3*z2 - 120*ln2^2*sinf*z2 + 72*ln2*z2^2 - 
    96*sinf*z2^2 + 120*ln2^2*z3 + 240*ln2*sinf*z3 - 240*z2*z3 + 225*z5)/240, 
 H[1, -1, -1, -1, -1, 1] -> (-120*li5half + 5*ln2^5 + 5*ln2^4*sinf - 
    20*ln2^3*z2 - 48*ln2*z2^2 + 60*ln2^2*z3 + 120*z5)/120, 
 H[0, 1, 1, 1, 1, 1] -> z5, H[0, 1, 1, 1, 0, 1] -> z2*z3 - 3*z5, 
 H[0, 1, 1, 1, -1, 1] -> (-960*li5half - 480*li4half*ln2 - 12*ln2^5 + 
    160*ln2^3*z2 - 24*ln2*z2^2 + 420*z2*z3 - 15*z5)/480, 
 H[0, 1, 1, 0, 1, 1] -> (-4*z2*z3 + 9*z5)/2, 
 H[0, 1, 1, 0, 0, 1] -> (2*z2*z3 - z5)/2, H[0, 1, 1, 0, -1, 1] -> 
  (-12*z2*z3 + 53*z5)/64, H[0, 1, 1, -1, 1, 1] -> 
  (3840*li5half - 32*ln2^5 - 400*ln2^3*z2 + 1272*ln2*z2^2 - 420*ln2^2*z3 - 
    2100*z2*z3 + 435*z5)/960, H[0, 1, 1, -1, 0, 1] -> 
  (-3840*li5half + 32*ln2^5 - 320*ln2^3*z2 - 1272*ln2*z2^2 + 1140*z2*z3 + 
    1485*z5)/960, H[0, 1, 1, -1, -1, 1] -> 
  (3840*li5half + 2880*li4half*ln2 + 88*ln2^5 + 80*ln2^3*z2 + 408*ln2*z2^2 + 
    420*ln2^2*z3 + 180*z2*z3 - 4155*z5)/960, 
 H[0, 1, 0, 1, 1, 1] -> (6*z2*z3 - 11*z5)/2, 
 H[0, 1, 0, 1, 0, 1] -> -2*(z2*z3 - z5), H[0, 1, 0, 1, -1, 1] -> 
  (3840*li5half + 1920*li4half*ln2 + 48*ln2^5 - 160*ln2^3*z2 + 996*ln2*z2^2 - 
    420*z2*z3 - 3405*z5)/480, H[0, 1, 0, 0, 1, 1] -> (-4*z2*z3 + 9*z5)/2, 
 H[0, 1, 0, 0, 0, 1] -> -4*z5, H[0, 1, 0, 0, -1, 1] -> (4*z2*z3 + 11*z5)/32, 
 H[0, 1, 0, -1, 1, 1] -> (-3840*li5half + 32*ln2^5 - 320*ln2^3*z2 - 
    1992*ln2*z2^2 + 1680*ln2^2*z3 + 480*z2*z3 + 3885*z5)/960, 
 H[0, 1, 0, -1, 0, 1] -> (z2*z3 - 8*z5)/4, H[0, 1, 0, -1, -1, 1] -> 
  (-1920*li5half - 1920*li4half*ln2 - 64*ln2^5 + 320*ln2^3*z2 - 
    840*ln2^2*z3 + 210*z2*z3 + 1545*z5)/480, H[0, 1, -1, 1, 1, 1] -> 
  (-1920*li5half + 16*ln2^5 + 80*ln2^3*z2 - 456*ln2*z2^2 + 840*z2*z3 + 
    145*z5)/320, H[0, 1, -1, 1, 0, 1] -> 
  (480*li5half - 4*ln2^5 + 40*ln2^3*z2 + 69*ln2*z2^2 - 60*z2*z3 - 285*z5)/60, 
 H[0, 1, -1, 1, -1, 1] -> (-120*li4half*ln2 - 5*ln2^5 - 10*ln2^3*z2 + 
    21*ln2*z2^2 - 15*z2*z3 + 40*z5)/40, H[0, 1, -1, 0, 1, 1] -> 
  (24*ln2*z2^2 - 208*z2*z3 + 363*z5)/64, H[0, 1, -1, 0, 0, 1] -> 
  (72*ln2*z2^2 + 24*z2*z3 - 139*z5)/32, H[0, 1, -1, 0, -1, 1] -> 
  (7680*li5half + 3840*li4half*ln2 + 96*ln2^5 - 320*ln2^3*z2 + 
    1632*ln2*z2^2 - 120*z2*z3 - 7605*z5)/480, 
 H[0, 1, -1, -1, 1, 1] -> (-3840*li5half + 32*ln2^5 - 320*ln2^3*z2 - 
    1272*ln2*z2^2 + 1260*ln2^2*z3 - 1260*z2*z3 + 6075*z5)/960, 
 H[0, 1, -1, -1, 0, 1] -> (-960*li5half + 8*ln2^5 - 80*ln2^3*z2 - 
    228*ln2*z2^2 + 345*z2*z3 + 210*z5)/240, H[0, 1, -1, -1, -1, 1] -> 
  (960*li5half + 240*li4half*ln2 + 2*ln2^5 + 80*ln2^3*z2 + 306*ln2*z2^2 - 
    315*ln2^2*z3 + 105*z2*z3 - 1170*z5)/240, 
 H[0, 0, 1, 1, 1, 1] -> -(z2*z3) + 2*z5, H[0, 0, 1, 1, 0, 1] -> -z5/2, 
 H[0, 0, 1, 1, -1, 1] -> (-1920*li5half - 1920*li4half*ln2 - 64*ln2^5 + 
    320*ln2^3*z2 - 360*ln2*z2^2 - 60*z2*z3 + 2265*z5)/960, 
 H[0, 0, 1, 0, 1, 1] -> (6*z2*z3 - 11*z5)/2, H[0, 0, 1, 0, 0, 1] -> 6*z5, 
 H[0, 0, 1, 0, -1, 1] -> (-8*z2*z3 + 21*z5)/32, 
 H[0, 0, 1, -1, 1, 1] -> (-1920*li5half + 16*ln2^5 - 160*ln2^3*z2 + 
    264*ln2*z2^2 - 840*ln2^2*z3 + 1800*z2*z3 - 2385*z5)/960, 
 H[0, 0, 1, -1, 0, 1] -> (-72*ln2*z2^2 - 28*z2*z3 + 171*z5)/32, 
 H[0, 0, 1, -1, -1, 1] -> (-960*li5half - 480*li4half*ln2 - 12*ln2^5 + 
    40*ln2^3*z2 - 294*ln2*z2^2 + 210*ln2^2*z3 - 195*z2*z3 + 1410*z5)/240, 
 H[0, 0, 0, 1, 1, 1] -> -(z2*z3) + 2*z5, H[0, 0, 0, 1, 0, 1] -> -4*z5, 
 H[0, 0, 0, 1, -1, 1] -> (6*ln2*z2^2 + 3*z2*z3 - 16*z5)/8, 
 H[0, 0, 0, 0, 1, 1] -> z5, H[0, 0, 0, 0, 0, 1] -> 0, 
 H[0, 0, 0, 0, -1, 1] -> (15*z5)/16, H[0, 0, 0, -1, 1, 1] -> 
  (-24*ln2*z2^2 - 24*z2*z3 + 91*z5)/32, H[0, 0, 0, -1, 0, 1] -> (-15*z5)/4, 
 H[0, 0, 0, -1, -1, 1] -> (16*z2*z3 - 29*z5)/32, 
 H[0, 0, -1, 1, 1, 1] -> (240*li5half - 2*ln2^5 + 20*ln2^3*z2 + 12*ln2*z2^2 - 
    195*z2*z3 + 225*z5)/120, H[0, 0, -1, 1, 0, 1] -> 
  (72*ln2*z2^2 - 139*z5)/32, H[0, 0, -1, 1, -1, 1] -> 
  (240*li4half*ln2 + 10*ln2^5 - 60*ln2^3*z2 + 33*ln2*z2^2 + 60*z2*z3 - 
    225*z5)/120, H[0, 0, -1, 0, 1, 1] -> (36*z2*z3 - 67*z5)/16, 
 H[0, 0, -1, 0, 0, 1] -> (45*z5)/8, H[0, 0, -1, 0, -1, 1] -> 
  (-20*z2*z3 + 41*z5)/32, H[0, 0, -1, -1, 1, 1] -> 
  (1920*li5half - 16*ln2^5 + 160*ln2^3*z2 + 456*ln2*z2^2 - 420*ln2^2*z3 + 
    360*z2*z3 - 2295*z5)/480, H[0, 0, -1, -1, 0, 1] -> 
  (-14*z2*z3 + 23*z5)/16, H[0, 0, -1, -1, -1, 1] -> 
  (960*li5half + 960*li4half*ln2 + 32*ln2^5 - 160*ln2^3*z2 + 420*ln2^2*z3 - 
    240*z2*z3 - 495*z5)/480, H[0, -1, 1, 1, 1, 1] -> 
  (480*li5half - 4*ln2^5 + 24*ln2*z2^2 - 140*z2*z3 - 5*z5)/160, 
 H[0, -1, 1, 1, 0, 1] -> (-3840*li5half + 32*ln2^5 - 320*ln2^3*z2 + 
    168*ln2*z2^2 + 60*z2*z3 + 1485*z5)/960, H[0, -1, 1, 1, -1, 1] -> 
  (-960*li5half + 960*li4half*ln2 + 48*ln2^5 - 320*ln2^3*z2 - 96*ln2*z2^2 + 
    495*z5)/960, H[0, -1, 1, 0, 1, 1] -> (-24*ln2*z2^2 + 160*z2*z3 - 257*z5)/
   64, H[0, -1, 1, 0, 0, 1] -> (-3*(24*ln2*z2^2 + 4*z2*z3 - 57*z5))/32, 
 H[0, -1, 1, 0, -1, 1] -> (-7680*li5half - 3840*li4half*ln2 - 96*ln2^5 + 
    320*ln2^3*z2 - 1632*ln2*z2^2 - 150*z2*z3 + 8205*z5)/480, 
 H[0, -1, 1, -1, 1, 1] -> (-960*li5half + 8*ln2^5 + 240*ln2^3*z2 - 
    168*ln2*z2^2 - 420*ln2^2*z3 + 540*z2*z3 - 145*z5)/320, 
 H[0, -1, 1, -1, 0, 1] -> (1920*li5half - 16*ln2^5 + 160*ln2^3*z2 + 
    276*ln2*z2^2 - 435*z2*z3 - 720*z5)/240, H[0, -1, 1, -1, -1, 1] -> 
  (-2400*li5half - 1440*li4half*ln2 - 40*ln2^5 - 200*ln2^3*z2 - 
    588*ln2*z2^2 + 630*ln2^2*z3 - 630*z2*z3 + 3705*z5)/480, 
 H[0, -1, 0, 1, 1, 1] -> (22*z2*z3 - 41*z5)/32, 
 H[0, -1, 0, 1, 0, 1] -> (3*z2*z3 - 8*z5)/4, H[0, -1, 0, 1, -1, 1] -> 
  (3840*li5half + 1920*li4half*ln2 + 48*ln2^5 - 160*ln2^3*z2 + 816*ln2*z2^2 + 
    540*z2*z3 - 4965*z5)/480, H[0, -1, 0, 0, 1, 1] -> (-42*z2*z3 + 83*z5)/16, 
 H[0, -1, 0, 0, 0, 1] -> (-15*z5)/4, H[0, -1, 0, 0, -1, 1] -> 
  (-3*(8*z2*z3 - 17*z5))/32, H[0, -1, 0, -1, 1, 1] -> 
  (-960*li5half + 8*ln2^5 - 80*ln2^3*z2 - 408*ln2*z2^2 + 420*ln2^2*z3 - 
    480*z2*z3 + 1935*z5)/240, H[0, -1, 0, -1, 0, 1] -> (11*z2*z3 - 23*z5)/4, 
 H[0, -1, 0, -1, -1, 1] -> (-3840*li5half - 3840*li4half*ln2 - 128*ln2^5 + 
    640*ln2^3*z2 - 1680*ln2^2*z3 + 1440*z2*z3 + 1095*z5)/960, 
 H[0, -1, -1, 1, 1, 1] -> (480*li5half - 4*ln2^5 - 8*ln2^3*z2 + 96*ln2*z2^2 - 
    18*z2*z3 - 369*z5)/96, H[0, -1, -1, 1, 0, 1] -> 
  (-960*li5half + 8*ln2^5 - 80*ln2^3*z2 - 48*ln2*z2^2 + 195*z2*z3 + 210*z5)/
   240, H[0, -1, -1, 1, -1, 1] -> (480*li5half + 1440*li4half*ln2 + 
    56*ln2^5 + 40*ln2^3*z2 - 48*ln2*z2^2 + 630*z2*z3 - 1875*z5)/480, 
 H[0, -1, -1, 0, 1, 1] -> (-5*(z2*z3 - 2*z5))/16, 
 H[0, -1, -1, 0, 0, 1] -> (-8*z2*z3 + 23*z5)/16, 
 H[0, -1, -1, 0, -1, 1] -> (-92*z2*z3 + 177*z5)/64, 
 H[0, -1, -1, -1, 1, 1] -> (240*li5half - 2*ln2^5 - 40*ln2^3*z2 + 
    12*ln2*z2^2 + 105*ln2^2*z3 - 210*z2*z3 + 225*z5)/240, 
 H[0, -1, -1, -1, 0, 1] -> (30*z2*z3 - 59*z5)/32, 
 H[0, -1, -1, -1, -1, 1] -> (-240*li5half - 240*li4half*ln2 - 8*ln2^5 + 
    40*ln2^3*z2 - 105*ln2^2*z3 + 240*z5)/240, 
 H[-1, 1, 1, 1, 1, 1] -> li5half, H[-1, 1, 1, 1, 0, 1] -> 
  (-960*li5half - 480*li4half*ln2 - 12*ln2^5 + 80*ln2^3*z2 + 24*ln2*z2^2 - 
    240*ln2^2*z3 + 240*z2*z3 - 15*z5)/480, H[-1, 1, 1, 1, -1, 1] -> 
  (-960*li5half - 480*li4half*ln2 - 16*ln2^5 + 80*ln2^3*z2 - 210*ln2^2*z3 + 
    210*z2*z3 + 405*z5)/480, H[-1, 1, 1, 0, 1, 1] -> 
  (1920*li5half + 2880*li4half*ln2 + 104*ln2^5 - 400*ln2^3*z2 - 
    456*ln2*z2^2 + 1380*ln2^2*z3 - 540*z2*z3 - 345*z5)/960, 
 H[-1, 1, 1, 0, 0, 1] -> (-1920*li5half - 1920*li4half*ln2 - 64*ln2^5 + 
    320*ln2^3*z2 - 456*ln2*z2^2 - 480*ln2^2*z3 + 420*z2*z3 + 2265*z5)/960, 
 H[-1, 1, 1, 0, -1, 1] -> (-6720*li5half - 2880*li4half*ln2 - 64*ln2^5 + 
    240*ln2^3*z2 - 1584*ln2*z2^2 + 300*ln2^2*z3 + 120*z2*z3 + 6855*z5)/960, 
 H[-1, 1, 1, -1, 1, 1] -> (2880*li5half + 2880*li4half*ln2 + 88*ln2^5 - 
    400*ln2^3*z2 + 120*ln2*z2^2 + 840*ln2^2*z3 - 840*z2*z3 - 1215*z5)/960, 
 H[-1, 1, 1, -1, 0, 1] -> (-960*li5half - 1920*li4half*ln2 - 72*ln2^5 + 
    320*ln2^3*z2 - 48*ln2*z2^2 - 780*ln2^2*z3 + 360*z2*z3 + 495*z5)/960, 
 H[-1, 1, 1, -1, -1, 1] -> (8*ln2^5 - 80*ln2^3*z2 - 120*ln2*z2^2 + 
    420*ln2^2*z3 + 60*z2*z3 - 45*z5)/960, H[-1, 1, 0, 1, 1, 1] -> 
  (-3840*li5half - 2880*li4half*ln2 - 88*ln2^5 + 400*ln2^3*z2 - 
    120*ln2*z2^2 - 1320*ln2^2*z3 + 1320*z2*z3 + 1215*z5)/960, 
 H[-1, 1, 0, 1, 0, 1] -> (3840*li5half + 1920*li4half*ln2 + 48*ln2^5 - 
    160*ln2^3*z2 + 612*ln2*z2^2 + 480*ln2^2*z3 - 420*z2*z3 - 3405*z5)/480, 
 H[-1, 1, 0, 1, -1, 1] -> (3840*li5half + 1680*li4half*ln2 + 38*ln2^5 - 
    280*ln2^3*z2 + 846*ln2*z2^2 + 120*ln2^2*z3 - 120*z2*z3 - 3675*z5)/240, 
 H[-1, 1, 0, 0, 1, 1] -> (-1920*li5half + 16*ln2^5 - 160*ln2^3*z2 - 
    576*ln2*z2^2 + 360*ln2^2*z3 - 1320*z2*z3 + 4665*z5)/960, 
 H[-1, 1, 0, 0, 0, 1] -> (14*ln2*z2^2 + 15*z2*z3 - 80*z5)/40, 
 H[-1, 1, 0, 0, -1, 1] -> (4*ln2*z2^2 - 12*ln2^2*z3 - 4*z2*z3 + 15*z5)/32, 
 H[-1, 1, 0, -1, 1, 1] -> (-12480*li5half - 3840*li4half*ln2 - 56*ln2^5 + 
    640*ln2^3*z2 - 3240*ln2*z2^2 + 480*ln2^2*z3 - 480*z2*z3 + 13665*z5)/960, 
 H[-1, 1, 0, -1, 0, 1] -> (3840*li5half + 1920*li4half*ln2 + 48*ln2^5 - 
    160*ln2^3*z2 + 660*ln2*z2^2 + 360*ln2^2*z3 + 420*z2*z3 - 4965*z5)/480, 
 H[-1, 1, 0, -1, -1, 1] -> (480*li5half - 4*ln2^5 + 40*ln2^3*z2 + 
    192*ln2*z2^2 - 220*ln2^2*z3 + 10*z2*z3 - 495*z5)/160, 
 H[-1, 1, -1, 1, 1, 1] -> (-2880*li5half - 2880*li4half*ln2 - 104*ln2^5 + 
    560*ln2^3*z2 - 24*ln2*z2^2 - 1380*ln2^2*z3 + 1380*z2*z3 + 345*z5)/960, 
 H[-1, 1, -1, 1, 0, 1] -> (-10*ln2^3*z2 - 12*ln2*z2^2 + 60*ln2^2*z3 - 
    75*z2*z3 + 120*z5)/120, H[-1, 1, -1, 1, -1, 1] -> 
  (2*ln2^5 - 20*ln2^3*z2 + 6*ln2*z2^2 + 30*ln2^2*z3 - 30*z2*z3 + 45*z5)/240, 
 H[-1, 1, -1, 0, 1, 1] -> (1600*li5half + 1280*li4half*ln2 + 40*ln2^5 - 
    240*ln2^3*z2 + 152*ln2*z2^2 + 520*ln2^2*z3 - 600*z2*z3 - 505*z5)/320, 
 H[-1, 1, -1, 0, 0, 1] -> (19*ln2*z2^2 - 15*ln2^2*z3 + 35*z2*z3 - 75*z5)/40, 
 H[-1, 1, -1, 0, -1, 1] -> (960*li5half + 480*li4half*ln2 + 12*ln2^5 - 
    50*ln2^3*z2 + 198*ln2*z2^2 + 15*ln2^2*z3 - 30*z2*z3 - 915*z5)/120, 
 H[-1, 1, -1, -1, 1, 1] -> (-2880*li5half + 32*ln2^5 - 320*ln2^3*z2 - 
    1152*ln2*z2^2 + 1380*ln2^2*z3 - 1380*z2*z3 + 5535*z5)/960, 
 H[-1, 1, -1, -1, 0, 1] -> (480*li5half + 480*li4half*ln2 + 16*ln2^5 - 
    40*ln2^3*z2 + 48*ln2*z2^2 - 30*ln2^2*z3 + 720*z2*z3 - 1875*z5)/480, 
 H[-1, 1, -1, -1, -1, 1] -> (120*li5half + 30*li4half*ln2 + 5*ln2^3*z2 + 
    36*ln2*z2^2 - 30*ln2^2*z3 - 120*z5)/30, H[-1, 0, 1, 1, 1, 1] -> 
  (480*li5half + 480*li4half*ln2 + 16*ln2^5 - 80*ln2^3*z2 + 192*ln2*z2^2 + 
    210*ln2^2*z3 - 210*z2*z3 - 405*z5)/480, H[-1, 0, 1, 1, 0, 1] -> 
  (-32*ln2*z2^2 - 4*z2*z3 + 53*z5)/64, H[-1, 0, 1, 1, -1, 1] -> 
  (-6720*li5half - 2880*li4half*ln2 - 64*ln2^5 + 880*ln2^3*z2 - 
    1656*ln2*z2^2 + 6855*z5)/960, H[-1, 0, 1, 0, 1, 1] -> 
  (-3840*li5half - 3840*li4half*ln2 - 128*ln2^5 + 640*ln2^3*z2 + 
    288*ln2*z2^2 - 1680*ln2^2*z3 + 1080*z2*z3 + 1335*z5)/960, 
 H[-1, 0, 1, 0, 0, 1] -> (3*(64*ln2*z2^2 - 40*z2*z3 + 35*z5))/160, 
 H[-1, 0, 1, 0, -1, 1] -> (1920*li5half + 960*li4half*ln2 + 24*ln2^5 - 
    80*ln2^3*z2 + 426*ln2*z2^2 - 75*z2*z3 - 1845*z5)/240, 
 H[-1, 0, 1, -1, 1, 1] -> (10560*li5half - 88*ln2^5 - 560*ln2^3*z2 + 
    3384*ln2*z2^2 - 1260*ln2^2*z3 + 1260*z2*z3 - 12675*z5)/960, 
 H[-1, 0, 1, -1, 0, 1] -> (-7680*li5half - 1920*li4half*ln2 - 16*ln2^5 - 
    160*ln2^3*z2 - 1668*ln2*z2^2 - 390*z2*z3 + 8205*z5)/480, 
 H[-1, 0, 1, -1, -1, 1] -> (-3360*li5half - 960*li4half*ln2 - 12*ln2^5 + 
    320*ln2^3*z2 - 828*ln2*z2^2 + 3315*z5)/480, 
 H[-1, 0, 0, 1, 1, 1] -> (960*li5half + 960*li4half*ln2 + 32*ln2^5 - 
    160*ln2^3*z2 + 48*ln2*z2^2 + 420*ln2^2*z3 - 420*z2*z3 - 225*z5)/480, 
 H[-1, 0, 0, 1, 0, 1] -> (-192*ln2*z2^2 + 60*z2*z3 + 55*z5)/160, 
 H[-1, 0, 0, 1, -1, 1] -> (-192*li4half*ln2 - 8*ln2^5 + 48*ln2^3*z2 + 45*z5)/
   96, H[-1, 0, 0, 0, 1, 1] -> (64*ln2*z2^2 + 120*z2*z3 - 295*z5)/160, 
 H[-1, 0, 0, 0, 0, 1] -> (15*z5)/16, H[-1, 0, 0, 0, -1, 1] -> 
  (28*ln2*z2^2 + 30*z2*z3 - 85*z5)/80, H[-1, 0, 0, -1, 1, 1] -> 
  (-480*li5half + 4*ln2^5 - 40*ln2^3*z2 - 81*ln2*z2^2 + 405*z5)/120, 
 H[-1, 0, 0, -1, 0, 1] -> (-3*(56*ln2*z2^2 + 20*z2*z3 - 85*z5))/160, 
 H[-1, 0, 0, -1, -1, 1] -> (-1920*li5half + 16*ln2^5 - 160*ln2^3*z2 - 
    720*ln2*z2^2 + 840*ln2^2*z3 + 1875*z5)/960, 
 H[-1, 0, -1, 1, 1, 1] -> (-1440*li5half + 480*li4half*ln2 + 32*ln2^5 - 
    60*ln2^3*z2 - 462*ln2*z2^2 + 315*ln2^2*z3 - 315*z2*z3 + 1830*z5)/240, 
 H[-1, 0, -1, 1, 0, 1] -> (7680*li5half + 1920*li4half*ln2 + 16*ln2^5 + 
    160*ln2^3*z2 + 1428*ln2*z2^2 + 240*z2*z3 - 7605*z5)/480, 
 H[-1, 0, -1, 1, -1, 1] -> (960*li5half - 8*ln2^5 - 100*ln2^3*z2 + 
    276*ln2*z2^2 - 915*z5)/120, H[-1, 0, -1, 0, 1, 1] -> 
  (-1920*li5half - 1920*li4half*ln2 - 64*ln2^5 + 320*ln2^3*z2 + 36*ln2*z2^2 - 
    840*ln2^2*z3 + 720*z2*z3 + 495*z5)/480, H[-1, 0, -1, 0, 0, 1] -> 
  (168*ln2*z2^2 - 160*z2*z3 + 205*z5)/160, H[-1, 0, -1, 0, -1, 1] -> 
  (1920*li5half + 960*li4half*ln2 + 24*ln2^5 - 80*ln2^3*z2 + 390*ln2*z2^2 - 
    30*z2*z3 - 1875*z5)/240, H[-1, 0, -1, -1, 1, 1] -> 
  (-1920*li5half - 480*li4half*ln2 - 4*ln2^5 + 320*ln2^3*z2 - 240*ln2*z2^2 - 
    630*ln2^2*z3 + 630*z2*z3 + 525*z5)/480, H[-1, 0, -1, -1, 0, 1] -> 
  (-8*ln2*z2^2 - 88*z2*z3 + 177*z5)/64, H[-1, 0, -1, -1, -1, 1] -> 
  (480*li5half + 360*li4half*ln2 + 11*ln2^5 - 50*ln2^3*z2 + 48*ln2*z2^2 + 
    105*ln2^2*z3 - 480*z5)/120, H[-1, -1, 1, 1, 1, 1] -> 
  (480*li5half + 480*li4half*ln2 + 12*ln2^5 - 80*ln2^3*z2 - 24*ln2*z2^2 + 
    240*ln2^2*z3 - 240*z2*z3 + 15*z5)/480, H[-1, -1, 1, 1, 0, 1] -> 
  (1280*li5half + 640*li4half*ln2 + 16*ln2^5 - 80*ln2^3*z2 + 280*ln2*z2^2 + 
    20*ln2^2*z3 + 20*z2*z3 - 1385*z5)/320, H[-1, -1, 1, 1, -1, 1] -> 
  (8*ln2^5 + 48*ln2*z2^2 - 60*ln2^2*z3 - 45*z5)/960, 
 H[-1, -1, 1, 0, 1, 1] -> (-3840*li5half - 3840*li4half*ln2 - 128*ln2^5 + 
    480*ln2^3*z2 - 72*ln2*z2^2 - 1380*ln2^2*z3 + 1380*z2*z3 + 1275*z5)/960, 
 H[-1, -1, 1, 0, 0, 1] -> (-960*li5half - 480*li4half*ln2 - 12*ln2^5 + 
    40*ln2^3*z2 - 180*ln2*z2^2 - 90*ln2^2*z3 - 195*z2*z3 + 1410*z5)/240, 
 H[-1, -1, 1, 0, -1, 1] -> (-3360*li5half - 1920*li4half*ln2 - 52*ln2^5 + 
    160*ln2^3*z2 - 576*ln2*z2^2 - 150*ln2^2*z3 + 30*z2*z3 + 3315*z5)/480, 
 H[-1, -1, 1, -1, 1, 1] -> (2880*li5half - 16*ln2^5 + 240*ln2^3*z2 + 
    1152*ln2*z2^2 - 1320*ln2^2*z3 + 1440*z2*z3 - 5625*z5)/960, 
 H[-1, -1, 1, -1, 0, 1] -> (-480*li5half - 288*li4half*ln2 - 8*ln2^5 + 
    40*ln2^3*z2 - 84*ln2*z2^2 - 48*ln2^2*z3 - 132*z2*z3 + 741*z5)/96, 
 H[-1, -1, 1, -1, -1, 1] -> (-1440*li5half - 720*li4half*ln2 - 20*ln2^5 + 
    60*ln2^3*z2 - 288*ln2*z2^2 + 15*ln2^2*z3 + 1440*z5)/240, 
 H[-1, -1, 0, 1, 1, 1] -> (480*li5half - 4*ln2^5 + 40*ln2^3*z2 + 
    60*ln2*z2^2 + 30*ln2^2*z3 - 375*z5)/480, H[-1, -1, 0, 1, 0, 1] -> 
  (-1920*li5half + 16*ln2^5 - 160*ln2^3*z2 - 612*ln2*z2^2 + 360*ln2^2*z3 + 
    150*z2*z3 + 1545*z5)/480, H[-1, -1, 0, 1, -1, 1] -> 
  (1440*li5half + 1920*li4half*ln2 + 68*ln2^5 - 60*ln2*z2^2 + 390*ln2^2*z3 - 
    1485*z5)/480, H[-1, -1, 0, 0, 1, 1] -> 
  (960*li5half + 480*li4half*ln2 + 12*ln2^5 - 40*ln2^3*z2 + 144*ln2*z2^2 + 
    120*ln2^2*z3 - 180*z2*z3 - 585*z5)/240, H[-1, -1, 0, 0, 0, 1] -> 
  (-56*ln2*z2^2 + 80*z2*z3 - 145*z5)/160, H[-1, -1, 0, 0, -1, 1] -> 
  (-1920*li5half - 1920*li4half*ln2 - 64*ln2^5 + 320*ln2^3*z2 - 
    120*ln2*z2^2 - 480*ln2^2*z3 + 60*z2*z3 + 1875*z5)/960, 
 H[-1, -1, 0, -1, 1, 1] -> (-480*li4half*ln2 - 20*ln2^5 - 240*ln2^3*z2 - 
    12*ln2*z2^2 + 390*ln2^2*z3 - 630*z2*z3 + 1305*z5)/480, 
 H[-1, -1, 0, -1, 0, 1] -> (-3840*li5half + 32*ln2^5 - 320*ln2^3*z2 - 
    1320*ln2*z2^2 + 960*ln2^2*z3 + 1380*z2*z3 + 1095*z5)/960, 
 H[-1, -1, 0, -1, -1, 1] -> (-480*li5half - 240*li4half*ln2 - 6*ln2^5 + 
    20*ln2^3*z2 - 96*ln2*z2^2 + 5*ln2^2*z3 + 480*z5)/80, 
 H[-1, -1, -1, 1, 1, 1] -> (-480*li5half + 8*ln2^5 - 40*ln2^3*z2 - 
    192*ln2*z2^2 + 210*ln2^2*z3 - 240*z2*z3 + 945*z5)/480, 
 H[-1, -1, -1, 1, 0, 1] -> (960*li5half + 720*li4half*ln2 + 22*ln2^5 - 
    80*ln2^3*z2 + 96*ln2*z2^2 + 195*ln2^2*z3 + 105*z2*z3 - 1170*z5)/240, 
 H[-1, -1, -1, 1, -1, 1] -> (480*li5half + 360*li4half*ln2 + 10*ln2^5 - 
    50*ln2^3*z2 + 48*ln2*z2^2 + 105*ln2^2*z3 - 480*z5)/120, 
 H[-1, -1, -1, 0, 1, 1] -> (-240*li5half - 240*li4half*ln2 - 8*ln2^5 + 
    80*ln2^3*z2 + 18*ln2*z2^2 - 180*ln2^2*z3 + 105*z2*z3 + 30*z5)/240, 
 H[-1, -1, -1, 0, 0, 1] -> (960*li5half - 8*ln2^5 + 80*ln2^3*z2 + 
    360*ln2*z2^2 - 240*ln2^2*z3 - 240*z2*z3 - 495*z5)/480, 
 H[-1, -1, -1, 0, -1, 1] -> (480*li5half + 120*li4half*ln2 + ln2^5 + 
    20*ln2^3*z2 + 144*ln2*z2^2 - 120*ln2^2*z3 - 480*z5)/120, 
 H[-1, -1, -1, -1, 1, 1] -> (-48*li5half - 48*li4half*ln2 - 2*ln2^5 + 
    8*ln2^3*z2 - 21*ln2^2*z3 + 48*z5)/48, H[-1, -1, -1, -1, 0, 1] -> 
  (-120*li5half + ln2^5 - 20*ln2^3*z2 - 48*ln2*z2^2 + 60*ln2^2*z3 + 120*z5)/
   120, H[-1, -1, -1, -1, -1, 1] -> ln2^5/120, 
 H[1, 1, 1, 1, 1, 1, 1] -> (7*sinf^6 - 105*sinf^4*z2 + 63*sinf^2*z2^2 - 
    45*z2^3 + 280*sinf^3*z3 - 840*sinf*z2*z3 + 280*z3^2 + 1008*sinf*z5)/5040, 
 H[1, 1, 1, 1, 1, 0, 1] -> (-35*sinf^4*z2 + 42*sinf^2*z2^2 - 45*z2^3 + 
    140*sinf^3*z3 - 700*sinf*z2*z3 + 280*z3^2 + 840*sinf*z5)/840, 
 H[1, 1, 1, 1, 1, -1, 1] -> (-720*li6half + 720*li5half*sinf - 
    360*li4half*sinf^2 + 20*ln2^3*sinf^3 + 15*ln2^2*sinf^4 + 6*ln2*sinf^5 + 
    360*li4half*z2 - 60*ln2^3*sinf*z2 - 90*ln2^2*sinf^2*z2 - 
    120*ln2*sinf^3*z2 - 15*sinf^4*z2 + 9*ln2^2*z2^2 + 198*ln2*sinf*z2^2 + 
    90*sinf^2*z2^2 - 9*z2^3 + 40*ln2^3*z3 + 120*ln2^2*sinf*z3 + 
    120*ln2*sinf^2*z3 + 105*sinf^3*z3 - 240*ln2*z2*z3 - 435*sinf*z2*z3 + 
    210*z3^2 + 144*ln2*z5)/720, H[1, 1, 1, 1, 0, 1, 1] -> 
  (35*sinf^4*z2 + 294*sinf^2*z2^2 + 477*z2^3 - 280*sinf^3*z3 + 
    1120*sinf*z2*z3 - 560*z3^2 - 3360*sinf*z5)/840, 
 H[1, 1, 1, 1, 0, 0, 1] -> (-21*sinf^2*z2^2 - 51*z2^3 + 70*sinf^3*z3 - 
    630*sinf*z2*z3 + 350*z3^2 + 840*sinf*z5)/420, 
 H[1, 1, 1, 1, 0, -1, 1] -> (5760*li6half + 5760*li5half*ln2 + 
    2880*li4half*ln2^2 + 80*ln2^6 + 5760*li5half*sinf + 
    5760*li4half*ln2*sinf + 192*ln2^5*sinf + 2880*li4half*sinf^2 + 
    120*ln2^4*sinf^2 - 5760*li4half*z2 - 600*ln2^4*z2 - 960*ln2^3*sinf*z2 - 
    720*ln2^2*sinf^2*z2 + 120*sinf^4*z2 + 1440*ln2^2*z2^2 - 
    1080*sinf^2*z2^2 + 432*z2^3 + 840*ln2^3*z3 + 2520*ln2^2*sinf*z3 + 
    2520*ln2*sinf^2*z3 - 600*sinf^3*z3 - 5040*ln2*z2*z3 + 240*sinf*z2*z3 + 
    1005*z3^2 - 4860*sinf*z5)/5760, H[1, 1, 1, 1, -1, 1, 1] -> 
  (3600*li6half - 2880*li5half*sinf + 1080*li4half*sinf^2 - 40*ln2^3*sinf^3 - 
    15*ln2^2*sinf^4 - 1080*li4half*z2 + 120*ln2^3*sinf*z2 + 
    90*ln2^2*sinf^2*z2 + 120*ln2*sinf^3*z2 + 15*sinf^4*z2 - 9*ln2^2*z2^2 - 
    360*ln2*sinf*z2^2 - 90*sinf^2*z2^2 + 9*z2^3 - 80*ln2^3*z3 - 
    120*ln2^2*sinf*z3 - 210*sinf^3*z3 + 240*ln2*z2*z3 + 750*sinf*z2*z3 - 
    420*z3^2)/720, H[1, 1, 1, 1, -1, 0, 1] -> 
  (-1440*li6half - 2*ln2^6 + 240*s6 + 1440*li5half*sinf - 12*ln2^5*sinf - 
    720*li4half*sinf^2 - 30*ln2^4*sinf^2 + 1200*li4half*z2 + 50*ln2^4*z2 - 
    120*ln2*sinf^3*z2 - 10*sinf^4*z2 - 84*ln2^2*z2^2 + 432*ln2*sinf*z2^2 + 
    192*sinf^2*z2^2 - 138*z2^3 + 130*sinf^3*z3 - 240*ln2*z2*z3 - 
    890*sinf*z2*z3 + 380*z3^2 - 15*sinf*z5)/480, 
 H[1, 1, 1, 1, -1, -1, 1] -> (-2880*li6half + 6*ln2^6 - 720*s6 + 
    1440*li5half*sinf + 36*ln2^5*sinf + 90*ln2^4*sinf^2 + 80*ln2^3*sinf^3 + 
    30*ln2^2*sinf^4 - 150*ln2^4*z2 - 480*ln2^3*sinf*z2 - 
    540*ln2^2*sinf^2*z2 - 120*ln2*sinf^3*z2 + 342*ln2^2*z2^2 + 
    288*ln2*sinf*z2^2 - 36*sinf^2*z2^2 + 324*z2^3 + 400*ln2^3*z3 + 
    960*ln2^2*sinf*z3 + 720*ln2*sinf^2*z3 + 30*sinf^3*z3 - 1680*ln2*z2*z3 - 
    810*sinf*z2*z3 + 960*z3^2 + 1440*ln2*z5 + 45*sinf*z5)/1440, 
 H[1, 1, 1, 0, 1, 1, 1] -> (-126*sinf^2*z2^2 - 354*z2^3 + 35*sinf^3*z3 - 
    105*sinf*z2*z3 + 70*z3^2 + 1260*sinf*z5)/210, 
 H[1, 1, 1, 0, 1, 0, 1] -> (147*sinf^2*z2^2 + 149*z2^3 - 140*sinf^3*z3 + 
    1260*sinf*z2*z3 - 700*z3^2 - 2310*sinf*z5)/420, 
 H[1, 1, 1, 0, 1, -1, 1] -> (-100800*li6half - 80640*li5half*ln2 - 
    30240*li4half*ln2^2 - 728*ln2^6 - 50400*s6 - 80640*li5half*sinf - 
    60480*li4half*ln2*sinf - 1848*ln2^5*sinf + 10080*li4half*sinf^2 + 
    420*ln2^4*sinf^2 + 20160*li4half*z2 + 3780*ln2^4*z2 + 
    8400*ln2^3*sinf*z2 - 2520*ln2^2*sinf^2*z2 + 5040*ln2*sinf^3*z2 - 
    5040*ln2^2*z2^2 + 6552*ln2*sinf*z2^2 + 252*sinf^2*z2^2 + 10116*z2^3 - 
    5880*ln2^3*z3 - 17640*ln2^2*sinf*z3 - 17640*ln2*sinf^2*z3 - 
    3360*sinf^3*z3 + 45360*ln2*z2*z3 + 27720*sinf*z2*z3 - 3255*z3^2 + 
    25515*sinf*z5)/20160, H[1, 1, 1, 0, 0, 1, 1] -> 
  (-105*sinf^2*z2^2 + 97*z2^3 + 70*sinf^3*z3 + 210*sinf*z2*z3 - 280*z3^2 - 
    210*sinf*z5)/420, H[1, 1, 1, 0, 0, 0, 1] -> 
  (-14*sinf^2*z2^2 - 9*z2^3 - 70*sinf*z2*z3 + 70*z3^2 + 140*sinf*z5)/70, 
 H[1, 1, 1, 0, 0, -1, 1] -> (40320*li6half + 40320*li5half*ln2 + 
    20160*li4half*ln2^2 + 560*ln2^6 - 10080*s6 + 40320*li5half*sinf + 
    40320*li4half*ln2*sinf + 1344*ln2^5*sinf + 20160*li4half*sinf^2 + 
    840*ln2^4*sinf^2 - 40320*li4half*z2 - 4200*ln2^4*z2 - 
    6720*ln2^3*sinf*z2 - 5040*ln2^2*sinf^2*z2 + 10080*ln2^2*z2^2 - 
    11088*sinf^2*z2^2 + 888*z2^3 + 5880*ln2^3*z3 + 17640*ln2^2*sinf*z3 + 
    17640*ln2*sinf^2*z3 + 2520*sinf^3*z3 - 35280*ln2*z2*z3 - 
    15120*sinf*z2*z3 + 17955*z3^2 + 19530*ln2*z5 - 9450*sinf*z5)/20160, 
 H[1, 1, 1, 0, -1, 1, 1] -> (20160*li6half - 10080*li4half*ln2^2 - 
    392*ln2^6 + 50400*s6 + 20160*li5half*sinf - 168*ln2^5*sinf - 
    30240*li4half*sinf^2 - 1260*ln2^4*sinf^2 + 40320*li4half*z2 + 
    3780*ln2^4*z2 + 1680*ln2^3*sinf*z2 + 7560*ln2^2*sinf^2*z2 - 
    5040*ln2*sinf^3*z2 - 10080*ln2^2*z2^2 - 6552*ln2*sinf*z2^2 + 
    2268*sinf^2*z2^2 - 12636*z2^3 - 5880*ln2^3*z3 - 8820*ln2^2*sinf*z3 + 
    5460*sinf^3*z3 + 7560*ln2*z2*z3 - 7560*sinf*z2*z3 - 23415*z3^2 + 
    25515*sinf*z5)/20160, H[1, 1, 1, 0, -1, 0, 1] -> 
  (-20160*li4half*z2 - 840*ln2^4*z2 + 5040*ln2^2*z2^2 + 2856*sinf^2*z2^2 + 
    5960*z2^3 - 3360*sinf^3*z3 - 17640*ln2*z2*z3 + 12600*sinf*z2*z3 - 
    1365*z3^2 - 17220*sinf*z5)/13440, H[1, 1, 1, 0, -1, -1, 1] -> 
  (11520*li6half + 11520*li5half*ln2 + 5760*li4half*ln2^2 + 160*ln2^6 + 
    2880*s6 + 5760*li5half*sinf + 5760*li4half*ln2*sinf + 192*ln2^5*sinf - 
    2880*li4half*z2 - 840*ln2^4*z2 - 960*ln2^3*sinf*z2 + 720*ln2^2*z2^2 - 
    216*sinf^2*z2^2 - 1080*z2^3 + 1680*ln2^3*z3 + 2520*ln2^2*sinf*z3 + 
    120*sinf^3*z3 - 2520*ln2*z2*z3 - 360*sinf*z2*z3 - 525*z3^2 - 
    5580*ln2*z5 - 4500*sinf*z5)/5760, H[1, 1, 1, -1, 1, 1, 1] -> 
  (-1440*li6half + 864*li5half*sinf - 216*li4half*sinf^2 + 4*ln2^3*sinf^3 + 
    216*li4half*z2 - 12*ln2^3*sinf*z2 - 12*ln2*sinf^3*z2 + 36*ln2*sinf*z2^2 + 
    8*ln2^3*z3 + 21*sinf^3*z3 - 24*ln2*z2*z3 - 63*sinf*z2*z3 + 42*z3^2)/144, 
 H[1, 1, 1, -1, 1, 0, 1] -> (60480*li6half + 84*ln2^6 + 1680*s6 - 
    40320*li5half*sinf + 336*ln2^5*sinf + 10080*li4half*sinf^2 + 
    420*ln2^4*sinf^2 - 30240*li4half*z2 - 1120*ln2^4*z2 + 560*ln2^3*sinf*z2 + 
    840*ln2^2*sinf^2*z2 + 560*ln2*sinf^3*z2 + 588*ln2^2*z2^2 - 
    7896*ln2*sinf*z2^2 - 1260*sinf^2*z2^2 + 876*z2^3 - 1120*sinf^3*z3 + 
    1120*ln2*z2*z3 + 15120*sinf*z2*z3 - 8750*z3^2 + 3045*sinf*z5)/6720, 
 H[1, 1, 1, -1, 1, -1, 1] -> (141120*li6half - 84*ln2^6 + 45360*s6 - 
    60480*li5half*sinf - 504*ln2^5*sinf - 1260*ln2^4*sinf^2 - 
    560*ln2^3*sinf^3 + 2520*ln2^4*z2 + 6720*ln2^3*sinf*z2 + 
    7560*ln2^2*sinf^2*z2 + 1680*ln2*sinf^3*z2 - 5292*ln2^2*z2^2 - 
    504*ln2*sinf*z2^2 + 2268*sinf^2*z2^2 - 15516*z2^3 - 7840*ln2^3*z3 - 
    20160*ln2^2*sinf*z3 - 20160*ln2*sinf^2*z3 - 840*sinf^3*z3 + 
    43680*ln2*z2*z3 + 22680*sinf*z2*z3 - 36330*z3^2 - 80640*ln2*z5 + 
    7245*sinf*z5)/20160, H[1, 1, 1, -1, 0, 1, 1] -> 
  (20160*li6half + 28*ln2^6 - 15120*s6 - 20160*li5half*sinf + 
    168*ln2^5*sinf + 10080*li4half*sinf^2 + 420*ln2^4*sinf^2 - 
    16800*li4half*z2 - 840*ln2^4*z2 - 560*ln2^3*sinf*z2 - 
    840*ln2^2*sinf^2*z2 + 1120*ln2*sinf^3*z2 + 4116*ln2^2*z2^2 - 
    168*ln2*sinf*z2^2 - 2436*sinf^2*z2^2 + 2820*z2^3 - 700*sinf^3*z3 + 
    2240*ln2*z2*z3 + 7980*sinf*z2*z3 - 1610*z3^2 - 2415*sinf*z5)/6720, 
 H[1, 1, 1, -1, 0, 0, 1] -> (-5040*li6half - 7*ln2^6 + 5040*s6 + 
    5040*li5half*sinf - 42*ln2^5*sinf - 2520*li4half*sinf^2 - 
    105*ln2^4*sinf^2 + 10080*li4half*z2 + 525*ln2^4*z2 + 420*ln2^3*sinf*z2 + 
    630*ln2^2*sinf^2*z2 - 2394*ln2^2*z2^2 + 252*ln2*sinf*z2^2 + 
    252*sinf^2*z2^2 - 2178*z2^3 + 315*sinf^3*z3 - 5040*sinf*z2*z3 + 
    1890*z3^2 + 4725*sinf*z5)/2520, H[1, 1, 1, -1, 0, -1, 1] -> 
  (40320*li6half - 10080*li5half*ln2 - 5040*li4half*ln2^2 - 70*ln2^6 + 
    10080*s6 - 60480*li5half*sinf - 10080*li4half*ln2*sinf + 84*ln2^5*sinf + 
    20160*li4half*sinf^2 + 840*ln2^4*sinf^2 - 20160*li4half*z2 - 
    1050*ln2^4*z2 - 1680*ln2^3*sinf*z2 - 3780*ln2^2*sinf^2*z2 + 
    840*ln2*sinf^3*z2 - 4410*ln2^2*z2^2 - 18900*ln2*sinf*z2^2 - 
    7560*sinf^2*z2^2 - 2502*z2^3 + 4410*ln2^3*z3 + 13230*ln2^2*sinf*z3 + 
    13230*ln2*sinf^2*z3 - 420*sinf^3*z3 - 24780*ln2*z2*z3 - 7560*sinf*z2*z3 + 
    4200*z3^2 + 48825*ln2*z5 + 76860*sinf*z5)/10080, 
 H[1, 1, 1, -1, -1, 1, 1] -> (20160*li6half - 252*ln2^6 - 5040*s6 - 
    1008*ln2^5*sinf - 1260*ln2^4*sinf^2 - 560*ln2^3*sinf^3 + 3360*ln2^4*z2 + 
    6720*ln2^3*sinf*z2 + 2520*ln2^2*sinf^2*z2 - 2772*ln2^2*z2^2 - 
    1512*ln2*sinf*z2^2 - 1260*sinf^2*z2^2 - 1620*z2^3 - 7840*ln2^3*z3 - 
    10080*ln2^2*sinf*z3 + 420*sinf^3*z3 + 20160*ln2*z2*z3 + 8820*sinf*z2*z3 - 
    14910*z3^2 - 9135*sinf*z5)/20160, H[1, 1, 1, -1, -1, 0, 1] -> 
  (-80640*li6half - 112*ln2^6 - 20160*s6 + 50400*li5half*sinf - 
    420*ln2^5*sinf - 10080*li4half*sinf^2 - 420*ln2^4*sinf^2 + 
    10080*li4half*z2 - 1680*ln2^3*sinf*z2 - 2520*ln2^2*sinf^2*z2 - 
    840*ln2*sinf^3*z2 + 9576*ln2^2*z2^2 + 15120*ln2*sinf*z2^2 + 
    3528*sinf^2*z2^2 + 8352*z2^3 + 210*sinf^3*z3 - 16800*ln2*z2*z3 - 
    6930*sinf*z2*z3 + 16800*z3^2 - 38745*sinf*z5)/10080, 
 H[1, 1, 1, -1, -1, -1, 1] -> (140*ln2^6 - 10080*li5half*sinf + 
    588*ln2^5*sinf + 5040*li4half*sinf^2 + 840*ln2^4*sinf^2 + 
    280*ln2^3*sinf^3 - 5040*li4half*z2 - 2100*ln2^4*z2 - 4200*ln2^3*sinf*z2 - 
    2520*ln2^2*sinf^2*z2 - 4536*ln2*sinf*z2^2 - 2016*sinf^2*z2^2 + 360*z2^3 + 
    5600*ln2^3*z3 + 10080*ln2^2*sinf*z3 + 5040*ln2*sinf^2*z3 - 
    15120*ln2*z2*z3 - 5040*sinf*z2*z3 + 5040*z3^2 + 20160*ln2*z5 + 
    19845*sinf*z5)/10080, H[1, 1, 0, 1, 1, 1, 1] -> 
  (7*sinf^2*z2^2 + 73*z2^3 - 140*sinf*z5)/35, 
 H[1, 1, 0, 1, 1, 0, 1] -> (-35*sinf^2*z2^2 - 117*z2^3 - 140*sinf*z2*z3 + 
    70*z3^2 + 630*sinf*z5)/140, H[1, 1, 0, 1, 1, -1, 1] -> 
  (403200*li6half + 241920*li5half*ln2 + 60480*li4half*ln2^2 + 1064*ln2^6 + 
    151200*s6 + 80640*li5half*sinf + 120960*li4half*ln2*sinf + 
    4368*ln2^5*sinf + 20160*li4half*sinf^2 + 840*ln2^4*sinf^2 - 
    80640*li4half*z2 - 6720*ln2^4*z2 - 23520*ln2^3*sinf*z2 + 
    10080*ln2^2*sinf^2*z2 + 26712*ln2^2*z2^2 - 47376*ln2*sinf*z2^2 - 
    9072*sinf^2*z2^2 - 46224*z2^3 + 5880*ln2^3*z3 + 17640*ln2^2*sinf*z3 + 
    17640*ln2*sinf^2*z3 - 35280*ln2*z2*z3 - 17640*sinf*z2*z3 - 41265*z3^2 - 
    14490*sinf*z5)/40320, H[1, 1, 0, 1, 0, 1, 1] -> 
  (21*sinf^2*z2^2 - 13*z2^3 - 280*sinf*z2*z3 + 280*z3^2 + 280*sinf*z5)/140, 
 H[1, 1, 0, 1, 0, 0, 1] -> (18*sinf^2*z2^2 + 11*z2^3 + 60*sinf*z2*z3 - 
    60*z3^2 - 165*sinf*z5)/30, H[1, 1, 0, 1, 0, -1, 1] -> 
  (-80640*li6half - 80640*li5half*ln2 - 40320*li4half*ln2^2 - 1120*ln2^6 + 
    45360*s6 - 80640*li5half*sinf - 80640*li4half*ln2*sinf - 
    2688*ln2^5*sinf - 40320*li4half*sinf^2 - 1680*ln2^4*sinf^2 + 
    80640*li4half*z2 + 8400*ln2^4*z2 + 13440*ln2^3*sinf*z2 + 
    10080*ln2^2*sinf^2*z2 - 20160*ln2^2*z2^2 + 17892*sinf^2*z2^2 + 
    9000*z2^3 - 11760*ln2^3*z3 - 35280*ln2^2*sinf*z3 - 35280*ln2*sinf^2*z3 + 
    70560*ln2*z2*z3 + 15120*sinf*z2*z3 - 35280*z3^2 - 87885*ln2*z5 + 
    28035*sinf*z5)/20160, H[1, 1, 0, 1, -1, 1, 1] -> 
  (-7200*li6half + 2160*li4half*ln2^2 + 80*ln2^6 + 5760*li5half*sinf - 
    48*ln2^5*sinf - 2160*li4half*sinf^2 - 90*ln2^4*sinf^2 - 390*ln2^4*z2 + 
    480*ln2^3*sinf*z2 - 540*ln2^2*sinf^2*z2 - 468*ln2^2*z2^2 + 
    288*ln2*sinf*z2^2 + 630*sinf^2*z2^2 + 1098*z2^3 + 840*ln2^3*z3 + 
    1260*ln2^2*sinf*z3 - 2520*ln2*z2*z3 - 1260*sinf*z2*z3 + 2205*z3^2 - 
    2610*sinf*z5)/1440, H[1, 1, 0, 1, -1, 0, 1] -> 
  (-23520*s6 + 13440*li4half*sinf^2 + 560*ln2^4*sinf^2 - 10080*li4half*z2 - 
    420*ln2^4*z2 - 3360*ln2^2*sinf^2*z2 + 2520*ln2^2*z2^2 + 
    7560*ln2*sinf*z2^2 - 2772*sinf^2*z2^2 - 132*z2^3 + 17640*ln2*z2*z3 + 
    12600*sinf*z2*z3 - 4095*z3^2 - 26985*sinf*z5)/6720, 
 H[1, 1, 0, 1, -1, -1, 1] -> (-40320*li6half - 161280*li5half*ln2 - 
    120960*li4half*ln2^2 - 3752*ln2^6 + 40320*s6 - 161280*li5half*sinf - 
    120960*li4half*ln2*sinf - 3696*ln2^5*sinf - 40320*li4half*sinf^2 - 
    1680*ln2^4*sinf^2 + 100800*li4half*z2 + 21840*ln2^4*z2 + 
    16800*ln2^3*sinf*z2 + 25200*ln2^2*sinf^2*z2 - 18648*ln2^2*z2^2 - 
    2016*ln2*sinf*z2^2 + 17640*sinf^2*z2^2 - 5904*z2^3 - 41160*ln2^3*z3 - 
    88200*ln2^2*sinf*z3 - 52920*ln2*sinf^2*z3 + 141120*ln2*z2*z3 + 
    52920*sinf*z2*z3 - 65835*z3^2 - 58590*ln2*z5 + 53550*sinf*z5)/40320, 
 H[1, 1, 0, 0, 1, 1, 1] -> (sinf^2*z2^2 - z2^3 + 10*z3^2 - 10*sinf*z5)/20, 
 H[1, 1, 0, 0, 1, 0, 1] -> (-126*sinf^2*z2^2 + 41*z2^3 - 210*sinf*z2*z3 - 
    105*z3^2 + 945*sinf*z5)/210, H[1, 1, 0, 0, 1, -1, 1] -> 
  (-11520*li6half - 5760*li5half*ln2 + 32*ln2^6 - 3600*s6 - 
    5760*li5half*sinf + 48*ln2^5*sinf - 240*ln2^4*z2 - 480*ln2^3*sinf*z2 - 
    4608*ln2*sinf*z2^2 - 684*sinf^2*z2^2 + 1512*z2^3 + 840*ln2^3*z3 + 
    2520*ln2^2*sinf*z3 + 2520*ln2*sinf^2*z3 - 720*ln2*z2*z3 - 
    2520*sinf*z2*z3 + 2115*z3^2 + 4185*ln2*z5 + 13995*sinf*z5)/2880, 
 H[1, 1, 0, 0, 0, 1, 1] -> (42*sinf^2*z2^2 + 47*z2^3 + 210*sinf*z2*z3 - 
    105*z3^2 - 630*sinf*z5)/210, H[1, 1, 0, 0, 0, 0, 1] -> 
  (-12*z2^3 + 35*z3^2 + 70*sinf*z5)/70, H[1, 1, 0, 0, 0, -1, 1] -> 
  (-5040*s6 + 588*sinf^2*z2^2 - 1040*z2^3 + 1680*sinf*z2*z3 + 2100*z3^2 + 
    9765*ln2*z5 - 6195*sinf*z5)/3360, H[1, 1, 0, 0, -1, 1, 1] -> 
  (20160*li6half - 10080*li4half*ln2^2 - 392*ln2^6 + 5040*s6 + 
    20160*li5half*sinf - 168*ln2^5*sinf + 10080*li4half*sinf^2 + 
    420*ln2^4*sinf^2 + 2100*ln2^4*z2 + 1680*ln2^3*sinf*z2 - 
    2520*ln2^2*sinf^2*z2 + 16128*ln2*sinf*z2^2 - 1008*sinf^2*z2^2 - 36*z2^3 - 
    5880*ln2^3*z3 - 8820*ln2^2*sinf*z3 + 2520*ln2*z2*z3 + 8820*sinf*z2*z3 - 
    9135*z3^2 - 53550*sinf*z5)/10080, H[1, 1, 0, 0, -1, 0, 1] -> 
  (-20160*li4half*z2 - 840*ln2^4*z2 + 5040*ln2^2*z2^2 - 3528*sinf^2*z2^2 + 
    6176*z2^3 - 17640*ln2*z2*z3 - 10920*sinf*z2*z3 + 7035*z3^2 + 
    34860*sinf*z5)/6720, H[1, 1, 0, 0, -1, -1, 1] -> 
  (20160*li6half + 20160*li5half*ln2 + 10080*li4half*ln2^2 + 280*ln2^6 + 
    5040*s6 + 13440*li5half*sinf + 13440*li4half*ln2*sinf + 448*ln2^5*sinf + 
    3360*li4half*sinf^2 + 140*ln2^4*sinf^2 - 10080*li4half*z2 - 
    1680*ln2^4*z2 - 2240*ln2^3*sinf*z2 - 840*ln2^2*sinf^2*z2 + 
    2520*ln2^2*z2^2 - 1260*sinf^2*z2^2 - 564*z2^3 + 2940*ln2^3*z3 + 
    5880*ln2^2*sinf*z3 + 2940*ln2*sinf^2*z3 - 8820*ln2*z2*z3 - 
    2940*sinf*z2*z3 + 1260*z3^2 - 9765*ln2*z5 - 8190*sinf*z5)/3360, 
 H[1, 1, 0, -1, 1, 1, 1] -> (40320*li6half + 56*ln2^6 - 151200*s6 - 
    120960*li5half*sinf + 1008*ln2^5*sinf + 60480*li4half*sinf^2 + 
    2520*ln2^4*sinf^2 - 60480*li4half*z2 - 3360*ln2^4*z2 - 
    10080*ln2^3*sinf*z2 + 21672*ln2^2*z2^2 + 39312*ln2*sinf*z2^2 - 
    11088*sinf^2*z2^2 + 18000*z2^3 + 5880*ln2^3*z3 - 17640*ln2*z2*z3 + 
    72135*z3^2 - 14490*sinf*z5)/40320, H[1, 1, 0, -1, 1, 0, 1] -> 
  (23520*s6 - 13440*li4half*sinf^2 - 560*ln2^4*sinf^2 + 33600*li4half*z2 + 
    1400*ln2^4*z2 + 3360*ln2^2*sinf^2*z2 - 8400*ln2^2*z2^2 - 
    7560*ln2*sinf*z2^2 + 1092*sinf^2*z2^2 - 8532*z2^3 + 2940*ln2*z2*z3 - 
    10920*sinf*z2*z3 - 6300*z3^2 + 38115*sinf*z5)/6720, 
 H[1, 1, 0, -1, 1, -1, 1] -> (-282240*li6half - 80640*li5half*ln2 + 
    20160*li4half*ln2^2 + 1120*ln2^6 - 90720*s6 + 201600*li5half*sinf + 
    40320*li4half*ln2*sinf - 20160*li4half*z2 - 6720*ln2^4*z2 + 
    6720*ln2^3*sinf*z2 - 30240*ln2^2*sinf^2*z2 - 8064*ln2^2*z2^2 + 
    8064*ln2*sinf*z2^2 - 7056*sinf^2*z2^2 + 38088*z2^3 + 11760*ln2^3*z3 + 
    52920*ln2^2*sinf*z3 + 52920*ln2*sinf^2*z3 - 88200*ln2*z2*z3 - 
    52920*sinf*z2*z3 + 75915*z3^2 + 175770*ln2*z5 - 63630*sinf*z5)/40320, 
 H[1, 1, 0, -1, 0, 1, 1] -> (13440*li4half*z2 + 560*ln2^4*z2 - 
    3360*ln2^2*z2^2 + 504*sinf^2*z2^2 - 6264*z2^3 + 11760*ln2*z2*z3 - 
    8400*sinf*z2*z3 + 4725*z3^2 + 12180*sinf*z5)/13440, 
 H[1, 1, 0, -1, 0, 0, 1] -> (3528*sinf^2*z2^2 - 304*z2^3 + 10080*sinf*z2*z3 - 
    4935*z3^2 - 28140*sinf*z5)/6720, H[1, 1, 0, -1, 0, -1, 1] -> 
  (-161280*li6half - 161280*li5half*ln2 - 80640*li4half*ln2^2 - 2240*ln2^6 - 
    40320*s6 - 161280*li5half*sinf - 161280*li4half*ln2*sinf - 
    5376*ln2^5*sinf - 80640*li4half*sinf^2 - 3360*ln2^4*sinf^2 + 
    181440*li4half*z2 + 17640*ln2^4*z2 + 26880*ln2^3*sinf*z2 + 
    20160*ln2^2*sinf^2*z2 - 45360*ln2^2*z2^2 + 32760*sinf^2*z2^2 - 
    22752*z2^3 - 23520*ln2^3*z3 - 70560*ln2^2*sinf*z3 - 70560*ln2*sinf^2*z3 + 
    158760*ln2*z2*z3 + 57960*sinf*z2*z3 - 43155*z3^2 + 78120*ln2*z5 + 
    41580*sinf*z5)/40320, H[1, 1, 0, -1, -1, 1, 1] -> 
  (80640*li6half - 20160*li4half*ln2^2 - 728*ln2^6 - 10080*s6 - 
    120960*li5half*sinf + 1008*ln2^5*sinf + 40320*li4half*sinf^2 + 
    1680*ln2^4*sinf^2 - 20160*li4half*z2 + 2520*ln2^4*z2 - 
    10080*ln2^3*sinf*z2 + 5040*ln2^2*sinf^2*z2 + 11592*ln2^2*z2^2 - 
    6048*ln2*sinf*z2^2 - 9072*sinf^2*z2^2 - 6480*z2^3 - 5880*ln2^3*z3 + 
    5985*z3^2 + 73080*sinf*z5)/40320, H[1, 1, 0, -1, -1, 0, 1] -> 
  (-6720*li4half*z2 - 280*ln2^4*z2 + 1680*ln2^2*z2^2 - 840*sinf^2*z2^2 + 
    1704*z2^3 - 5880*ln2*z2*z3 - 1680*sinf*z2*z3 + 1575*z3^2 + 8400*sinf*z5)/
   13440, H[1, 1, 0, -1, -1, -1, 1] -> 
  (-13440*li5half*sinf - 13440*li4half*ln2*sinf - 448*ln2^5*sinf - 
    6720*li4half*sinf^2 - 280*ln2^4*sinf^2 + 13440*li4half*z2 + 
    560*ln2^4*z2 + 2240*ln2^3*sinf*z2 + 1680*ln2^2*sinf^2*z2 - 
    3360*ln2^2*z2^2 + 2688*sinf^2*z2^2 - 3504*z2^3 - 5880*ln2^2*sinf*z3 - 
    5880*ln2*sinf^2*z3 + 11760*ln2*z2*z3 + 5880*sinf*z2*z3 - 5145*z3^2 + 
    1680*sinf*z5)/13440, H[1, 1, -1, 1, 1, 1, 1] -> 
  (20*li6half - 8*li5half*sinf + li4half*sinf^2 - li4half*z2)/2, 
 H[1, 1, -1, 1, 1, 0, 1] -> (-57600*li6half - 80*ln2^6 + 23040*li5half*sinf - 
    192*ln2^5*sinf - 2880*li4half*sinf^2 - 120*ln2^4*sinf^2 + 
    20160*li4half*z2 + 600*ln2^4*z2 - 480*ln2^3*sinf*z2 - 720*ln2^2*z2^2 + 
    1872*ln2*sinf*z2^2 - 144*sinf^2*z2^2 + 144*z2^3 + 120*ln2^3*z3 + 
    360*ln2^2*sinf*z3 + 360*ln2*sinf^2*z3 - 720*ln2*z2*z3 - 5400*sinf*z2*z3 + 
    2835*z3^2 + 2610*sinf*z5)/5760, H[1, 1, -1, 1, 1, -1, 1] -> 
  (-362880*li6half + 56*ln2^6 - 151200*s6 + 120960*li5half*sinf + 
    336*ln2^5*sinf + 840*ln2^4*sinf^2 - 1680*ln2^4*z2 - 3360*ln2^3*sinf*z2 - 
    5040*ln2^2*sinf^2*z2 + 2520*ln2^2*z2^2 - 5040*ln2*sinf*z2^2 - 
    2520*sinf^2*z2^2 + 33624*z2^3 + 5880*ln2^3*z3 + 17640*ln2^2*sinf*z3 + 
    17640*ln2*sinf^2*z3 - 35280*ln2*z2*z3 - 17640*sinf*z2*z3 + 72135*z3^2 + 
    241920*ln2*z5 - 51030*sinf*z5)/40320, H[1, 1, -1, 1, 0, 1, 1] -> 
  (-141120*li6half - 196*ln2^6 - 15120*s6 + 80640*li5half*sinf - 
    672*ln2^5*sinf - 10080*li4half*sinf^2 - 420*ln2^4*sinf^2 + 
    70560*li4half*z2 + 3360*ln2^4*z2 - 2520*ln2^2*sinf^2*z2 - 
    5292*ln2^2*z2^2 + 24192*ln2*sinf*z2^2 + 4788*sinf^2*z2^2 - 1332*z2^3 - 
    840*ln2^3*z3 - 2520*ln2^2*sinf*z3 - 2520*ln2*sinf^2*z3 + 5040*ln2*z2*z3 - 
    32760*sinf*z2*z3 + 38745*z3^2 - 36540*sinf*z5)/20160, 
 H[1, 1, -1, 1, 0, 0, 1] -> (80640*li6half + 112*ln2^6 - 45360*s6 - 
    40320*li5half*sinf + 336*ln2^5*sinf - 60480*li4half*z2 - 4200*ln2^4*z2 - 
    3360*ln2^3*sinf*z2 + 16884*ln2^2*z2^2 + 5544*ln2*sinf*z2^2 + 
    4788*sinf^2*z2^2 + 9540*z2^3 - 2520*ln2^3*z3 - 7560*ln2^2*sinf*z3 - 
    7560*ln2*sinf^2*z3 + 15120*ln2*z2*z3 + 27720*sinf*z2*z3 - 17325*z3^2 - 
    50085*sinf*z5)/20160, H[1, 1, -1, 1, 0, -1, 1] -> 
  (-17280*li6half - 960*li5half*ln2 + 1440*li4half*ln2^2 + 44*ln2^6 - 
    6720*s6 + 10560*li5half*sinf + 2880*li4half*ln2*sinf + 32*ln2^5*sinf - 
    1920*li4half*sinf^2 - 80*ln2^4*sinf^2 + 1920*li4half*z2 - 60*ln2^4*z2 + 
    360*ln2^2*sinf^2*z2 + 1932*ln2^2*z2^2 + 3024*ln2*sinf*z2^2 + 
    792*sinf^2*z2^2 + 2340*z2^3 - 520*ln2^3*z3 - 1560*ln2^2*sinf*z3 - 
    1560*ln2*sinf^2*z3 + 3120*ln2*z2*z3 + 720*sinf*z2*z3 + 1680*z3^2 - 
    6975*ln2*z5 - 12675*sinf*z5)/960, H[1, 1, -1, 1, -1, 1, 1] -> 
  (-60480*li6half + 196*ln2^6 + 15120*s6 + 672*ln2^5*sinf + 
    420*ln2^4*sinf^2 - 3360*ln2^4*z2 - 6720*ln2^3*sinf*z2 - 
    2520*ln2^2*sinf^2*z2 - 1764*ln2^2*z2^2 - 4032*ln2*sinf*z2^2 + 
    252*sinf^2*z2^2 + 8388*z2^3 + 14280*ln2^3*z3 + 22680*ln2^2*sinf*z3 + 
    2520*ln2*sinf^2*z3 - 45360*ln2*z2*z3 - 22680*sinf*z2*z3 + 31815*z3^2 + 
    36540*sinf*z5)/20160, H[1, 1, -1, 1, -1, 0, 1] -> 
  (60480*li6half + 84*ln2^6 - 20160*li5half*sinf + 168*ln2^5*sinf + 
    420*ln2^4*z2 + 1120*ln2^3*sinf*z2 + 840*ln2^2*sinf^2*z2 - 
    4872*ln2^2*z2^2 - 1848*ln2*sinf*z2^2 + 336*sinf^2*z2^2 - 10152*z2^3 - 
    1120*ln2^3*z3 - 3360*ln2^2*sinf*z3 - 3360*ln2*sinf^2*z3 + 
    26880*ln2*z2*z3 + 11760*sinf*z2*z3 - 14700*z3^2 - 3045*sinf*z5)/6720, 
 H[1, 1, -1, 1, -1, -1, 1] -> (-80*ln2^6 + 17280*li5half*sinf - 
    336*ln2^5*sinf - 8640*li4half*sinf^2 - 480*ln2^4*sinf^2 + 
    8640*li4half*z2 + 1680*ln2^4*z2 + 3360*ln2^3*sinf*z2 + 
    2880*ln2^2*sinf^2*z2 + 1872*ln2^2*z2^2 + 8208*ln2*sinf*z2^2 + 
    3456*sinf^2*z2^2 - 672*z2^3 - 6600*ln2^3*z3 - 14040*ln2^2*sinf*z3 - 
    8280*ln2*sinf^2*z3 + 22320*ln2*z2*z3 + 8280*sinf*z2*z3 - 7965*z3^2 - 
    31680*ln2*z5 - 33750*sinf*z5)/5760, H[1, 1, -1, 0, 1, 1, 1] -> 
  (-40320*li6half - 56*ln2^6 + 151200*s6 + 40320*li5half*sinf - 
    336*ln2^5*sinf - 20160*li4half*sinf^2 - 840*ln2^4*sinf^2 + 
    20160*li4half*z2 + 1680*ln2^4*z2 + 3360*ln2^3*sinf*z2 + 
    5040*ln2^2*sinf^2*z2 - 26712*ln2^2*z2^2 - 43344*ln2*sinf*z2^2 + 
    2520*sinf^2*z2^2 - 9432*z2^3 + 840*ln2^3*z3 + 2520*ln2^2*sinf*z3 + 
    2520*ln2*sinf^2*z3 - 5040*ln2*z2*z3 - 2520*sinf*z2*z3 - 36855*z3^2 + 
    51030*sinf*z5)/40320, H[1, 1, -1, 0, 1, 0, 1] -> 
  (80640*li6half + 112*ln2^6 - 15120*s6 - 80640*li5half*sinf + 
    672*ln2^5*sinf + 40320*li4half*sinf^2 + 1680*ln2^4*sinf^2 - 
    100800*li4half*z2 - 5880*ln2^4*z2 - 6720*ln2^3*sinf*z2 - 
    10080*ln2^2*sinf^2*z2 + 19404*ln2^2*z2^2 - 11592*ln2*sinf*z2^2 - 
    12852*sinf^2*z2^2 + 16860*z2^3 + 5040*ln2^3*z3 + 15120*ln2^2*sinf*z3 + 
    15120*ln2*sinf^2*z3 - 30240*ln2*z2*z3 - 2520*sinf*z2*z3 - 5040*z3^2 + 
    81585*sinf*z5)/20160, H[1, 1, -1, 0, 1, -1, 1] -> 
  (403200*li6half + 53760*li5half*ln2 - 6720*li4half*ln2^2 - 168*ln2^6 + 
    208320*s6 - 174720*li5half*sinf - 13440*li4half*ln2*sinf + 
    896*ln2^5*sinf + 26880*li4half*sinf^2 + 1120*ln2^4*sinf^2 - 
    20160*li4half*z2 + 280*ln2^4*z2 - 1120*ln2^3*sinf*z2 + 
    3360*ln2^2*sinf^2*z2 - 29736*ln2^2*z2^2 - 48384*ln2*sinf*z2^2 - 
    9408*sinf^2*z2^2 - 41976*z2^3 + 3640*ln2^3*z3 + 10920*ln2^2*sinf*z3 + 
    10920*ln2*sinf^2*z3 - 4200*ln2*z2*z3 - 10920*sinf*z2*z3 - 74445*z3^2 - 
    97650*ln2*z5 + 191310*sinf*z5)/13440, H[1, 1, -1, 0, 0, 1, 1] -> 
  (-5760*li6half - 8*ln2^6 - 8640*s6 + 5760*li5half*sinf - 48*ln2^5*sinf - 
    2880*li4half*sinf^2 - 120*ln2^4*sinf^2 - 5760*li4half*z2 - 120*ln2^4*z2 + 
    480*ln2^3*sinf*z2 + 720*ln2^2*sinf^2*z2 + 1584*ln2^2*z2^2 + 
    288*ln2*sinf*z2^2 + 864*sinf^2*z2^2 + 3120*z2^3 - 360*ln2^3*z3 - 
    1080*ln2^2*sinf*z3 - 1080*ln2*sinf^2*z3 + 2160*ln2*z2*z3 + 
    5760*sinf*z2*z3 - 1125*z3^2 - 15300*sinf*z5)/2880, 
 H[1, 1, -1, 0, 0, 0, 1] -> (8400*s6 + 6720*li4half*z2 + 280*ln2^4*z2 - 
    2940*ln2^2*z2^2 - 2520*ln2*sinf*z2^2 - 588*sinf^2*z2^2 - 2004*z2^3 - 
    2520*sinf*z2*z3 + 840*z3^2 + 9555*sinf*z5)/3360, 
 H[1, 1, -1, 0, 0, -1, 1] -> (-26880*li5half*ln2 - 13440*li4half*ln2^2 - 
    336*ln2^6 - 33600*s6 - 53760*li5half*sinf - 26880*li4half*ln2*sinf - 
    672*ln2^5*sinf - 6720*li4half*z2 + 840*ln2^4*z2 + 2240*ln2^3*sinf*z2 - 
    6552*ln2^2*z2^2 - 16464*ln2*sinf*z2^2 - 840*sinf^2*z2^2 - 4576*z2^3 + 
    1680*ln2^3*z3 + 5040*ln2^2*sinf*z3 + 5040*ln2*sinf^2*z3 - 
    10080*ln2*z2*z3 + 5880*sinf*z2*z3 + 14595*z3^2 + 104160*ln2*z5 + 
    45360*sinf*z5)/13440, H[1, 1, -1, 0, -1, 1, 1] -> 
  (-322560*li6half + 6720*li4half*ln2^2 - 168*ln2^6 - 154560*s6 + 
    188160*li5half*sinf - 1568*ln2^5*sinf - 26880*li4half*sinf^2 - 
    1120*ln2^4*sinf^2 + 20160*li4half*z2 + 2520*ln2^4*z2 + 
    5600*ln2^3*sinf*z2 - 3360*ln2^2*sinf^2*z2 + 30408*ln2^2*z2^2 + 
    49728*ln2*sinf*z2^2 + 8400*sinf^2*z2^2 + 39384*z2^3 - 14000*ln2^3*z3 - 
    24360*ln2^2*sinf*z3 - 6720*ln2*sinf^2*z3 + 31080*ln2*z2*z3 + 
    24360*sinf*z2*z3 + 30765*z3^2 - 218820*sinf*z5)/13440, 
 H[1, 1, -1, 0, -1, 0, 1] -> (161280*li6half + 224*ln2^6 + 141120*s6 - 
    161280*li5half*sinf + 1344*ln2^5*sinf + 80640*li4half*sinf^2 + 
    3360*ln2^4*sinf^2 - 221760*li4half*z2 - 12600*ln2^4*z2 - 
    13440*ln2^3*sinf*z2 - 20160*ln2^2*sinf^2*z2 + 36288*ln2^2*z2^2 - 
    38304*ln2*sinf*z2^2 - 27720*sinf^2*z2^2 + 41232*z2^3 + 13440*ln2^3*z3 + 
    40320*ln2^2*sinf*z3 + 40320*ln2*sinf^2*z3 - 239400*ln2*z2*z3 - 
    83160*sinf*z2*z3 + 36855*z3^2 + 325080*sinf*z5)/40320, 
 H[1, 1, -1, 0, -1, -1, 1] -> (-20160*li6half - 13440*li5half*ln2 + 
    6720*li4half*ln2^2 + 364*ln2^6 - 15120*s6 + 20160*li4half*ln2*sinf + 
    840*ln2^5*sinf + 10080*li4half*sinf^2 + 420*ln2^4*sinf^2 - 
    20160*li4half*z2 - 3220*ln2^4*z2 - 5040*ln2^3*sinf*z2 - 
    2520*ln2^2*sinf^2*z2 + 756*ln2^2*z2^2 - 8568*ln2*sinf*z2^2 - 
    4032*sinf^2*z2^2 + 6108*z2^3 + 8960*ln2^3*z3 + 18060*ln2^2*sinf*z3 + 
    9240*ln2*sinf^2*z3 - 27300*ln2*z2*z3 - 9240*sinf*z2*z3 + 15225*z3^2 + 
    42315*ln2*z5 + 18270*sinf*z5)/6720, H[1, 1, -1, -1, 1, 1, 1] -> 
  (80*ln2^6 + 192*ln2^5*sinf + 120*ln2^4*sinf^2 - 600*ln2^4*z2 - 
    480*ln2^3*sinf*z2 + 720*ln2^2*z2^2 + 1008*ln2*sinf*z2^2 + 
    144*sinf^2*z2^2 - 144*z2^3 + 840*ln2^3*z3 - 360*ln2^2*sinf*z3 - 
    360*ln2*sinf^2*z3 - 2160*ln2*z2*z3 + 360*sinf*z2*z3 + 2205*z3^2 - 
    2610*sinf*z5)/5760, H[1, 1, -1, -1, 1, 0, 1] -> 
  (120960*li6half + 168*ln2^6 + 70560*s6 - 53760*li5half*sinf + 
    448*ln2^5*sinf + 13440*li4half*sinf^2 + 560*ln2^4*sinf^2 - 
    13440*li4half*z2 + 280*ln2^4*z2 + 1120*ln2^3*sinf*z2 - 
    1680*ln2^2*sinf^2*z2 - 17304*ln2^2*z2^2 - 21168*ln2*sinf*z2^2 - 
    5880*sinf^2*z2^2 - 10488*z2^3 + 3640*ln2^3*z3 + 10920*ln2^2*sinf*z3 + 
    10920*ln2*sinf^2*z3 - 15120*ln2*z2*z3 - 12600*sinf*z2*z3 - 22785*z3^2 + 
    85050*sinf*z5)/13440, H[1, 1, -1, -1, 1, -1, 1] -> 
  (60480*li6half - 196*ln2^6 + 60480*s6 - 60480*li5half*sinf - 
    168*ln2^5*sinf + 30240*li4half*sinf^2 + 840*ln2^4*sinf^2 - 
    30240*li4half*z2 - 420*ln2^4*z2 - 3360*ln2^3*sinf*z2 - 
    7560*ln2^2*sinf^2*z2 - 6552*ln2^2*z2^2 - 26712*ln2*sinf*z2^2 - 
    12096*sinf^2*z2^2 + 3072*z2^3 + 5880*ln2^3*z3 + 27720*ln2^2*sinf*z3 + 
    27720*ln2*sinf^2*z3 - 45360*ln2*z2*z3 - 27720*sinf*z2*z3 - 945*z3^2 - 
    10080*ln2*z5 + 116235*sinf*z5)/20160, H[1, 1, -1, -1, 0, 1, 1] -> 
  (80640*li6half + 112*ln2^6 + 10080*s6 - 40320*li5half*sinf + 
    336*ln2^5*sinf + 1120*ln2^3*sinf*z2 + 3360*ln2^2*sinf^2*z2 - 
    4536*ln2^2*z2^2 - 8736*ln2*sinf*z2^2 + 504*sinf^2*z2^2 - 12024*z2^3 - 
    1400*ln2^3*z3 - 4200*ln2^2*sinf*z3 - 4200*ln2*sinf^2*z3 + 
    21840*ln2*z2*z3 + 5880*sinf*z2*z3 - 13335*z3^2 + 24360*sinf*z5)/13440, 
 H[1, 1, -1, -1, 0, 0, 1] -> (-20160*li6half - 28*ln2^6 - 5040*s6 + 
    13440*li5half*sinf - 112*ln2^5*sinf - 3360*li4half*sinf^2 - 
    140*ln2^4*sinf^2 + 10080*li4half*z2 + 840*ln2^4*z2 + 1120*ln2^3*sinf*z2 + 
    840*ln2^2*sinf^2*z2 - 756*ln2^2*z2^2 + 3192*ln2*sinf*z2^2 + 
    1260*sinf^2*z2^2 - 12*z2^3 - 560*ln2^3*z3 - 1680*ln2^2*sinf*z3 - 
    1680*ln2*sinf^2*z3 + 3360*ln2*z2*z3 + 1260*sinf*z2*z3 + 2100*z3^2 - 
    16065*sinf*z5)/3360, H[1, 1, -1, -1, 0, -1, 1] -> 
  (221760*li6half + 20160*li5half*ln2 - 30240*li4half*ln2^2 - 1120*ln2^6 + 
    85680*s6 - 80640*li5half*sinf - 60480*li4half*ln2*sinf - 
    1848*ln2^5*sinf - 30240*li4half*sinf^2 - 1260*ln2^4*sinf^2 + 
    60480*li4half*z2 + 8400*ln2^4*z2 + 11760*ln2^3*sinf*z2 + 
    10080*ln2^2*sinf^2*z2 - 37044*ln2^2*z2^2 - 6048*ln2*sinf*z2^2 + 
    12096*sinf^2*z2^2 - 47088*z2^3 - 9660*ln2^3*z3 - 28980*ln2^2*sinf*z3 - 
    28980*ln2*sinf^2*z3 + 68040*ln2*z2*z3 + 30240*sinf*z2*z3 - 60795*z3^2 + 
    9765*ln2*z5 + 22050*sinf*z5)/20160, H[1, 1, -1, -1, -1, 1, 1] -> 
  (-120960*li6half - 728*ln2^6 - 120960*s6 + 80640*li5half*sinf - 
    2016*ln2^5*sinf - 20160*li4half*sinf^2 - 1680*ln2^4*sinf^2 + 
    20160*li4half*z2 + 7560*ln2^4*z2 + 10080*ln2^3*sinf*z2 + 
    5040*ln2^2*sinf^2*z2 + 20160*ln2^2*z2^2 + 32256*ln2*sinf*z2^2 + 
    8064*sinf^2*z2^2 + 10368*z2^3 - 26040*ln2^3*z3 - 37800*ln2^2*sinf*z3 - 
    17640*ln2*sinf^2*z3 + 75600*ln2*z2*z3 + 37800*sinf*z2*z3 - 2835*z3^2 - 
    154980*sinf*z5)/40320, H[1, 1, -1, -1, -1, 0, 1] -> 
  (-10080*li6half - 14*ln2^6 - 2520*s6 + 1680*li5half*sinf - 14*ln2^5*sinf + 
    840*li4half*sinf^2 + 35*ln2^4*sinf^2 - 2520*li4half*z2 - 315*ln2^4*z2 - 
    560*ln2^3*sinf*z2 - 420*ln2^2*sinf^2*z2 + 2142*ln2^2*z2^2 + 
    504*ln2*sinf*z2^2 - 336*sinf^2*z2^2 + 2052*z2^3 + 280*ln2^3*z3 + 
    840*ln2^2*sinf*z3 + 840*ln2*sinf^2*z3 - 5040*ln2*z2*z3 - 
    1680*sinf*z2*z3 + 3150*z3^2 + 1575*sinf*z5)/1680, 
 H[1, 1, -1, -1, -1, -1, 1] -> (3360*li6half + 28*ln2^6 + 840*s6 - 
    1680*li5half*sinf + 70*ln2^5*sinf + 35*ln2^4*sinf^2 - 245*ln2^4*z2 - 
    280*ln2^3*sinf*z2 - 714*ln2^2*z2^2 - 672*ln2*sinf*z2^2 - 624*z2^3 + 
    840*ln2^3*z3 + 840*ln2^2*sinf*z3 - 840*ln2*z2*z3 - 210*z3^2 + 
    3360*ln2*z5 + 1680*sinf*z5)/1680, H[1, 0, 1, 1, 1, 1, 1] -> 
  (-8*z2^3 + 7*sinf*z5)/7, H[1, 0, 1, 1, 1, 0, 1] -> 
  (118*z2^3 + 105*sinf*z2*z3 - 105*z3^2 - 315*sinf*z5)/105, 
 H[1, 0, 1, 1, 1, -1, 1] -> (-20160*li6half - 13440*li5half*ln2 - 
    1680*li4half*ln2^2 + 14*ln2^6 - 7560*s6 - 6720*li5half*sinf - 
    3360*li4half*ln2*sinf - 84*ln2^5*sinf + 1680*li4half*z2 - 210*ln2^4*z2 + 
    1120*ln2^3*sinf*z2 - 2394*ln2^2*z2^2 - 168*ln2*sinf*z2^2 + 4224*z2^3 + 
    2940*sinf*z2*z3 - 105*z3^2 - 105*sinf*z5)/3360, 
 H[1, 0, 1, 1, 0, 1, 1] -> (-12*z2^3 - 20*sinf*z2*z3 + 20*z3^2 + 45*sinf*z5)/
   10, H[1, 0, 1, 1, 0, 0, 1] -> (-17*z2^3 + 42*sinf*z2*z3 - 21*z3^2 - 
    21*sinf*z5)/42, H[1, 0, 1, 1, 0, -1, 1] -> 
  (-16800*s6 - 5688*z2^3 - 840*sinf*z2*z3 + 7875*z3^2 + 32550*ln2*z5 + 
    3710*sinf*z5)/4480, H[1, 0, 1, 1, -1, 1, 1] -> 
  (-40320*li6half - 30240*li4half*ln2^2 - 1316*ln2^6 - 15120*s6 + 
    80640*li5half*sinf - 672*ln2^5*sinf + 30240*li4half*z2 + 9660*ln2^4*z2 - 
    8400*ln2^3*sinf*z2 + 6300*ln2^2*z2^2 + 26712*ln2*sinf*z2^2 - 20736*z2^3 - 
    5880*ln2^3*z3 - 8820*ln2^2*sinf*z3 + 17640*ln2*z2*z3 - 44100*sinf*z2*z3 + 
    43155*z3^2 + 9135*sinf*z5)/20160, H[1, 0, 1, 1, -1, 0, 1] -> 
  (3360*s6 - 53760*li5half*sinf + 448*ln2^5*sinf - 33600*li4half*z2 - 
    1400*ln2^4*z2 - 4480*ln2^3*sinf*z2 + 15960*ln2^2*z2^2 - 
    17808*ln2*sinf*z2^2 + 17632*z2^3 - 17640*ln2*z2*z3 + 15960*sinf*z2*z3 - 
    13545*z3^2 + 20790*sinf*z5)/13440, H[1, 0, 1, 1, -1, -1, 1] -> 
  (161280*li6half + 120960*li5half*ln2 + 60480*li4half*ln2^2 + 1736*ln2^6 + 
    25200*s6 + 80640*li5half*sinf + 60480*li4half*ln2*sinf + 
    1848*ln2^5*sinf - 30240*li4half*z2 - 9660*ln2^4*z2 + 1680*ln2^3*sinf*z2 - 
    4788*ln2^2*z2^2 + 8568*ln2*sinf*z2^2 - 19800*z2^3 + 5880*ln2^3*z3 + 
    8820*ln2^2*sinf*z3 - 8820*ln2*z2*z3 + 3780*sinf*z2*z3 - 11655*z3^2 - 
    29295*ln2*z5 - 87255*sinf*z5)/20160, H[1, 0, 1, 0, 1, 1, 1] -> 
  (16*z2^3 + 42*sinf*z2*z3 - 56*z3^2 - 77*sinf*z5)/14, 
 H[1, 0, 1, 0, 1, 0, 1] -> (-31*z2^3 - 140*sinf*z2*z3 + 280*z3^2 + 
    140*sinf*z5)/70, H[1, 0, 1, 0, 1, -1, 1] -> 
  (80640*li6half + 53760*li5half*ln2 + 13440*li4half*ln2^2 + 224*ln2^6 + 
    31920*s6 + 53760*li5half*sinf + 26880*li4half*ln2*sinf + 672*ln2^5*sinf - 
    13440*li4half*z2 - 1120*ln2^4*z2 - 2240*ln2^3*sinf*z2 + 3360*ln2^2*z2^2 + 
    13944*ln2*sinf*z2^2 - 7932*z2^3 - 20160*ln2*z2*z3 - 5880*sinf*z2*z3 + 
    945*z3^2 - 39060*ln2*z5 - 47670*sinf*z5)/6720, 
 H[1, 0, 1, 0, 0, 1, 1] -> (-143*z2^3 - 420*sinf*z2*z3 + 210*z3^2 + 
    945*sinf*z5)/210, H[1, 0, 1, 0, 0, 0, 1] -> 
  (74*z2^3 - 105*z3^2 - 420*sinf*z5)/105, H[1, 0, 1, 0, 0, -1, 1] -> 
  (23520*s6 + 5464*z2^3 + 840*sinf*z2*z3 - 16275*z3^2 - 45570*ln2*z5 + 
    2310*sinf*z5)/6720, H[1, 0, 1, 0, -1, 1, 1] -> 
  (-80640*li6half + 40320*li4half*ln2^2 + 1568*ln2^6 - 35280*s6 - 
    80640*li5half*sinf + 672*ln2^5*sinf - 40320*li4half*z2 - 10080*ln2^4*z2 - 
    6720*ln2^3*sinf*z2 + 10080*ln2^2*z2^2 - 41832*ln2*sinf*z2^2 + 
    21204*z2^3 + 23520*ln2^3*z3 + 35280*ln2^2*sinf*z3 - 10080*ln2*z2*z3 + 
    10080*sinf*z2*z3 - 3150*z3^2 + 81585*sinf*z5)/20160, 
 H[1, 0, 1, 0, -1, 0, 1] -> (1344*li4half*z2 + 56*ln2^4*z2 - 336*ln2^2*z2^2 - 
    382*z2^3 + 1176*ln2*z2*z3 + 56*sinf*z2*z3 + 35*z3^2 - 448*sinf*z5)/224, 
 H[1, 0, 1, 0, -1, -1, 1] -> (-322560*li6half - 322560*li5half*ln2 - 
    161280*li4half*ln2^2 - 4480*ln2^6 - 50400*s6 - 161280*li5half*sinf - 
    161280*li4half*ln2*sinf - 5376*ln2^5*sinf + 80640*li4half*z2 + 
    23520*ln2^4*z2 + 26880*ln2^3*sinf*z2 - 20160*ln2^2*z2^2 + 38592*z2^3 - 
    47040*ln2^3*z3 - 70560*ln2^2*sinf*z3 + 70560*ln2*z2*z3 + 
    17640*sinf*z2*z3 - 7875*z3^2 + 97650*ln2*z5 + 129780*sinf*z5)/40320, 
 H[1, 0, 1, -1, 1, 1, 1] -> (141120*li6half + 196*ln2^6 + 15120*s6 - 
    120960*li5half*sinf + 1008*ln2^5*sinf - 2940*ln2^4*z2 + 
    5040*ln2^3*sinf*z2 + 7812*ln2^2*z2^2 - 28728*ln2*sinf*z2^2 - 3456*z2^3 - 
    5880*ln2^3*z3 + 17640*ln2*z2*z3 + 52920*sinf*z2*z3 - 74025*z3^2 + 
    9135*sinf*z5)/20160, H[1, 0, 1, -1, 1, 0, 1] -> 
  (4200*s6 + 6720*li5half*sinf - 56*ln2^5*sinf + 2520*li4half*z2 + 
    105*ln2^4*z2 + 560*ln2^3*sinf*z2 - 1575*ln2^2*z2^2 + 966*ln2*sinf*z2^2 - 
    590*z2^3 - 735*ln2*z2*z3 - 840*sinf*z2*z3 - 3990*sinf*z5)/840, 
 H[1, 0, 1, -1, 1, -1, 1] -> (-262080*li6half - 80640*li5half*ln2 - 
    30240*li4half*ln2^2 - 952*ln2^6 - 95760*s6 - 60480*li4half*ln2*sinf - 
    2520*ln2^5*sinf + 30240*li4half*z2 + 7560*ln2^4*z2 - 5040*ln2^3*sinf*z2 - 
    3528*ln2^2*z2^2 + 10584*ln2*sinf*z2^2 + 23724*z2^3 + 5880*ln2^3*z3 - 
    17640*ln2*z2*z3 - 7560*sinf*z2*z3 + 46935*z3^2 + 117180*ln2*z5 + 
    20160*sinf*z5)/20160, H[1, 0, 1, -1, 0, 1, 1] -> 
  (10080*s6 + 6720*li4half*z2 + 280*ln2^4*z2 - 1680*ln2^2*z2^2 + 
    2520*ln2*sinf*z2^2 - 7104*z2^3 - 11760*ln2*z2*z3 - 21840*sinf*z2*z3 + 
    21735*z3^2 + 38115*sinf*z5)/6720, H[1, 0, 1, -1, 0, 0, 1] -> 
  (-2400*s6 - 1920*li4half*z2 - 80*ln2^4*z2 + 480*ln2^2*z2^2 + 
    1080*ln2*sinf*z2^2 + 556*z2^3 + 360*sinf*z2*z3 - 15*z3^2 - 2085*sinf*z5)/
   480, H[1, 0, 1, -1, 0, -1, 1] -> (161280*li6half + 107520*li5half*ln2 + 
    26880*li4half*ln2^2 + 448*ln2^6 + 77280*s6 + 107520*li5half*sinf + 
    53760*li4half*ln2*sinf + 1344*ln2^5*sinf - 23520*li4half*z2 - 
    2100*ln2^4*z2 - 4480*ln2^3*sinf*z2 + 5880*ln2^2*z2^2 + 
    22848*ln2*sinf*z2^2 - 11196*z2^3 - 5880*ln2*z2*z3 - 1680*sinf*z2*z3 - 
    25830*z3^2 - 133455*ln2*z5 - 106470*sinf*z5)/6720, 
 H[1, 0, 1, -1, -1, 1, 1] -> (-20160*li6half + 30240*li4half*ln2^2 + 
    1232*ln2^6 + 5040*s6 - 80640*li5half*sinf + 672*ln2^5*sinf - 
    30240*li4half*z2 - 8400*ln2^4*z2 - 6720*ln2^3*sinf*z2 + 6552*ln2^2*z2^2 - 
    26712*ln2*sinf*z2^2 + 4140*z2^3 + 23520*ln2^3*z3 + 26460*ln2^2*sinf*z3 - 
    52920*ln2*z2*z3 - 26460*sinf*z2*z3 + 42210*z3^2 + 127575*sinf*z5)/20160, 
 H[1, 0, 1, -1, -1, 0, 1] -> (-23520*s6 - 53760*li5half*sinf + 
    448*ln2^5*sinf + 47040*li4half*z2 + 1960*ln2^4*z2 - 4480*ln2^3*sinf*z2 - 
    4200*ln2^2*z2^2 - 12768*ln2*sinf*z2^2 - 13480*z2^3 + 64680*ln2*z2*z3 + 
    19320*sinf*z2*z3 - 22995*z3^2 + 11760*sinf*z5)/13440, 
 H[1, 0, 1, -1, -1, -1, 1] -> (141120*li6half + 40320*li5half*ln2 - 
    20160*li4half*ln2^2 - 980*ln2^6 + 80640*s6 + 80640*li5half*sinf + 
    20160*li4half*ln2*sinf + 168*ln2^5*sinf - 10080*li4half*z2 + 
    5040*ln2^4*z2 + 6720*ln2^3*sinf*z2 + 2016*ln2^2*z2^2 + 
    25704*ln2*sinf*z2^2 - 8100*z2^3 - 23520*ln2^3*z3 - 26460*ln2^2*sinf*z3 + 
    26460*ln2*z2*z3 + 8820*sinf*z2*z3 - 39060*z3^2 - 126945*ln2*z5 - 
    98280*sinf*z5)/20160, H[1, 0, 0, 1, 1, 1, 1] -> 
  (-8*z2^3 - 21*sinf*z2*z3 + 21*z3^2 + 42*sinf*z5)/21, 
 H[1, 0, 0, 1, 1, 0, 1] -> (13*z2^3 - 35*sinf*z5)/70, 
 H[1, 0, 0, 1, 1, -1, 1] -> (-3840*li5half*ln2 - 1920*li4half*ln2^2 - 
    48*ln2^6 + 2880*s6 - 3840*li5half*sinf - 3840*li4half*ln2*sinf - 
    128*ln2^5*sinf + 1920*li4half*z2 + 240*ln2^4*z2 + 640*ln2^3*sinf*z2 - 
    2016*ln2^2*z2^2 - 720*ln2*sinf*z2^2 - 208*z2^3 - 120*sinf*z2*z3 - 
    1005*z3^2 + 2790*ln2*z5 + 4530*sinf*z5)/1920, 
 H[1, 0, 0, 1, 0, 1, 1] -> (37*z2^3 + 126*sinf*z2*z3 - 126*z3^2 - 
    231*sinf*z5)/42, H[1, 0, 0, 1, 0, 0, 1] -> 
  (-76*z2^3 + 35*z3^2 + 420*sinf*z5)/70, H[1, 0, 0, 1, 0, -1, 1] -> 
  (-720*s6 - 212*z2^3 - 120*sinf*z2*z3 + 345*z3^2 + 1395*ln2*z5 + 
    315*sinf*z5)/480, H[1, 0, 0, 1, -1, 1, 1] -> 
  (-80640*li6half - 112*ln2^6 - 105840*s6 - 40320*li5half*sinf + 
    336*ln2^5*sinf + 1680*ln2^4*z2 - 3360*ln2^3*sinf*z2 + 32256*ln2^2*z2^2 + 
    5544*ln2*sinf*z2^2 + 16572*z2^3 - 11760*ln2^3*z3 - 17640*ln2^2*sinf*z3 + 
    35280*ln2*z2*z3 + 37800*sinf*z2*z3 - 11340*z3^2 - 50085*sinf*z5)/20160, 
 H[1, 0, 0, 1, -1, 0, 1] -> (11200*s6 - 5040*ln2*sinf*z2^2 - 36*z2^3 - 
    5880*ln2*z2*z3 - 1960*sinf*z2*z3 - 1015*z3^2 + 11970*sinf*z5)/2240, 
 H[1, 0, 0, 1, -1, -1, 1] -> (-322560*li6half - 241920*li5half*ln2 - 
    40320*li4half*ln2^2 - 112*ln2^6 - 120960*s6 - 161280*li5half*sinf - 
    80640*li4half*ln2*sinf - 2016*ln2^5*sinf + 40320*li4half*z2 - 
    1680*ln2^4*z2 + 6720*ln2^3*sinf*z2 - 42336*ln2^2*z2^2 - 
    49392*ln2*sinf*z2^2 + 21432*z2^3 + 23520*ln2^3*z3 + 35280*ln2^2*sinf*z3 - 
    35280*ln2*z2*z3 - 32760*sinf*z2*z3 + 70245*z3^2 + 332010*ln2*z5 + 
    236880*sinf*z5)/40320, H[1, 0, 0, 0, 1, 1, 1] -> 
  (-22*z2^3 - 42*sinf*z2*z3 + 63*z3^2 + 84*sinf*z5)/42, 
 H[1, 0, 0, 0, 1, 0, 1] -> (118*z2^3 - 105*z3^2 - 420*sinf*z5)/105, 
 H[1, 0, 0, 0, 1, -1, 1] -> (-10080*s6 + 5040*ln2*sinf*z2^2 + 1432*z2^3 + 
    10080*ln2*z2*z3 + 2520*sinf*z2*z3 - 1155*z3^2 - 13020*ln2*z5 - 
    13440*sinf*z5)/6720, H[1, 0, 0, 0, 0, 1, 1] -> 
  (-4*z2^3 + 5*z3^2 + 10*sinf*z5)/10, H[1, 0, 0, 0, 0, 0, 1] -> (-8*z2^3)/35, 
 H[1, 0, 0, 0, 0, -1, 1] -> (-80*s6 - 44*z2^3 + 60*z3^2 + 155*ln2*z5 + 
    75*sinf*z5)/80, H[1, 0, 0, 0, -1, 1, 1] -> 
  (1680*s6 - 504*ln2*sinf*z2^2 - 212*z2^3 - 1008*ln2*z2*z3 - 504*sinf*z2*z3 + 
    420*z3^2 + 1911*sinf*z5)/672, H[1, 0, 0, 0, -1, 0, 1] -> 
  (811*z2^3 - 630*z3^2 - 3150*sinf*z5)/840, H[1, 0, 0, 0, -1, -1, 1] -> 
  (44*z2^3 + 336*sinf*z2*z3 - 168*z3^2 - 609*sinf*z5)/672, 
 H[1, 0, 0, -1, 1, 1, 1] -> (5760*li6half + 8*ln2^6 + 8640*s6 + 
    5760*li5half*sinf - 48*ln2^5*sinf - 120*ln2^4*z2 + 480*ln2^3*sinf*z2 - 
    2304*ln2^2*z2^2 + 288*ln2*sinf*z2^2 - 2400*z2^3 + 840*ln2^3*z3 - 
    2520*ln2*z2*z3 - 4680*sinf*z2*z3 + 3645*z3^2 + 5400*sinf*z5)/2880, 
 H[1, 0, 0, -1, 1, 0, 1] -> (-16800*s6 - 6720*li4half*z2 - 280*ln2^4*z2 + 
    1680*ln2^2*z2^2 + 7560*ln2*sinf*z2^2 + 2832*z2^3 + 2940*ln2*z2*z3 + 
    3360*z3^2 - 14595*sinf*z5)/3360, H[1, 0, 0, -1, 1, -1, 1] -> 
  (-20160*li6half + 20160*li5half*ln2 + 10080*li4half*ln2^2 + 224*ln2^6 - 
    27720*s6 + 20160*li4half*ln2*sinf + 840*ln2^5*sinf - 10080*li4half*z2 - 
    840*ln2^4*z2 - 5040*ln2^3*sinf*z2 + 18648*ln2^2*z2^2 + 
    2772*ln2*sinf*z2^2 + 6546*z2^3 - 2940*ln2^3*z3 + 8820*ln2*z2*z3 + 
    5040*sinf*z2*z3 + 5040*z3^2 - 48825*ln2*z5 - 18900*sinf*z5)/10080, 
 H[1, 0, 0, -1, 0, 1, 1] -> (13440*li4half*z2 + 560*ln2^4*z2 - 
    3360*ln2^2*z2^2 + 608*z2^3 + 11760*ln2*z2*z3 + 15120*sinf*z2*z3 - 
    18795*z3^2 - 28140*sinf*z5)/6720, H[1, 0, 0, -1, 0, 0, 1] -> 
  (-1304*z2^3 + 1155*z3^2 + 6300*sinf*z5)/1120, 
 H[1, 0, 0, -1, 0, -1, 1] -> (-2400*s6 + 960*li4half*z2 + 40*ln2^4*z2 - 
    240*ln2^2*z2^2 - 968*z2^3 + 840*ln2*z2*z3 - 600*sinf*z2*z3 + 1065*z3^2 + 
    4650*ln2*z5 + 1230*sinf*z5)/960, H[1, 0, 0, -1, -1, 1, 1] -> 
  (40320*li6half - 13440*li4half*ln2^2 - 504*ln2^6 + 26880*s6 + 
    26880*li5half*sinf - 224*ln2^5*sinf + 13440*li4half*z2 + 3080*ln2^4*z2 + 
    2240*ln2^3*sinf*z2 - 8736*ln2^2*z2^2 + 6384*ln2*sinf*z2^2 - 7072*z2^3 - 
    5880*ln2^3*z3 - 5880*ln2^2*sinf*z3 + 11760*ln2*z2*z3 + 5040*sinf*z2*z3 - 
    18795*z3^2 - 32130*sinf*z5)/6720, H[1, 0, 0, -1, -1, 0, 1] -> 
  (-13440*li4half*z2 - 560*ln2^4*z2 + 3360*ln2^2*z2^2 + 3816*z2^3 - 
    11760*ln2*z2*z3 - 2940*sinf*z2*z3 + 5145*z3^2 + 4830*sinf*z5)/3360, 
 H[1, 0, 0, -1, -1, -1, 1] -> (40320*li6half + 40320*li5half*ln2 + 
    20160*li4half*ln2^2 + 560*ln2^6 + 10080*s6 + 13440*li5half*sinf + 
    13440*li4half*ln2*sinf + 448*ln2^5*sinf - 6720*li4half*z2 - 
    2800*ln2^4*z2 - 2240*ln2^3*sinf*z2 + 1680*ln2^2*z2^2 - 5384*z2^3 + 
    5880*ln2^3*z3 + 5880*ln2^2*sinf*z3 - 5880*ln2*z2*z3 - 3360*sinf*z2*z3 - 
    945*z3^2 - 19530*ln2*z5 - 6930*sinf*z5)/6720, 
 H[1, 0, -1, 1, 1, 1, 1] -> (-10080*li6half - 14*ln2^6 + 7560*s6 + 
    10080*li5half*sinf - 84*ln2^5*sinf + 210*ln2^4*z2 - 1638*ln2^2*z2^2 + 
    504*ln2*sinf*z2^2 - 192*z2^3 - 2940*sinf*z2*z3 + 105*z3^2 - 105*sinf*z5)/
   3360, H[1, 0, -1, 1, 1, 0, 1] -> 
  (-70560*s6 - 53760*li5half*sinf + 448*ln2^5*sinf - 40320*li4half*z2 - 
    1680*ln2^4*z2 - 4480*ln2^3*sinf*z2 + 17640*ln2^2*z2^2 + 
    2352*ln2*sinf*z2^2 + 10816*z2^3 + 840*sinf*z2*z3 + 25935*z3^2 + 
    20790*sinf*z5)/13440, H[1, 0, -1, 1, 1, -1, 1] -> 
  (60480*li6half + 26880*li5half*ln2 + 3360*li4half*ln2^2 + 25200*s6 - 
    6720*li5half*sinf + 6720*li4half*ln2*sinf + 336*ln2^5*sinf - 
    3360*li4half*z2 - 2240*ln2^3*sinf*z2 + 8064*ln2^2*z2^2 - 
    672*ln2*sinf*z2^2 - 5604*z2^3 - 9450*z3^2 - 48825*ln2*z5 + 3465*sinf*z5)/
   6720, H[1, 0, -1, 1, 0, 1, 1] -> 
  (-3360*s6 - 6720*li4half*z2 - 280*ln2^4*z2 + 1680*ln2^2*z2^2 - 
    840*ln2*sinf*z2^2 + 2928*z2^3 + 5600*sinf*z2*z3 - 4445*z3^2 - 
    8995*sinf*z5)/2240, H[1, 0, -1, 1, 0, 0, 1] -> 
  (33600*s6 + 26880*li4half*z2 + 1120*ln2^4*z2 - 6720*ln2^2*z2^2 - 
    15120*ln2*sinf*z2^2 - 9904*z2^3 - 2520*sinf*z2*z3 - 5565*z3^2 + 
    35910*sinf*z5)/6720, H[1, 0, -1, 1, 0, -1, 1] -> 
  (-322560*li6half - 215040*li5half*ln2 - 53760*li4half*ln2^2 - 896*ln2^6 - 
    174720*s6 - 215040*li5half*sinf - 107520*li4half*ln2*sinf - 
    2688*ln2^5*sinf + 33600*li4half*z2 + 3640*ln2^4*z2 + 8960*ln2^3*sinf*z2 - 
    8400*ln2^2*z2^2 - 45696*ln2*sinf*z2^2 + 19176*z2^3 - 4200*sinf*z2*z3 + 
    68145*z3^2 + 305970*ln2*z5 + 229740*sinf*z5)/13440, 
 H[1, 0, -1, 1, -1, 1, 1] -> (60480*li6half - 3360*li4half*ln2^2 - 56*ln2^6 + 
    11760*s6 - 20160*li5half*sinf + 168*ln2^5*sinf + 3360*li4half*z2 - 
    280*ln2^4*z2 + 5040*ln2^3*sinf*z2 - 2184*ln2^2*z2^2 - 
    3528*ln2*sinf*z2^2 - 7044*z2^3 - 5880*ln2^3*z3 - 8820*ln2^2*sinf*z3 + 
    17640*ln2*z2*z3 + 11340*sinf*z2*z3 - 22050*z3^2 - 3045*sinf*z5)/6720, 
 H[1, 0, -1, 1, -1, 0, 1] -> (9600*s6 + 15360*li5half*sinf - 128*ln2^5*sinf - 
    960*li4half*z2 - 40*ln2^4*z2 + 1280*ln2^3*sinf*z2 - 1920*ln2^2*z2^2 + 
    2208*ln2*sinf*z2^2 + 680*z2^3 - 7560*ln2*z2*z3 - 3480*sinf*z2*z3 + 
    1095*z3^2 - 5760*sinf*z5)/1920, H[1, 0, -1, 1, -1, -1, 1] -> 
  (-100800*li6half - 40320*li5half*ln2 - 6720*li4half*ln2^2 - 84*ln2^6 - 
    50400*s6 - 33600*li5half*sinf - 20160*li4half*ln2*sinf - 560*ln2^5*sinf + 
    10080*li4half*z2 + 840*ln2^4*z2 - 2800*ln2^3*sinf*z2 - 1680*ln2^2*z2^2 - 
    8232*ln2*sinf*z2^2 + 5916*z2^3 + 5880*ln2^3*z3 + 8820*ln2^2*sinf*z3 - 
    8820*ln2*z2*z3 - 8820*sinf*z2*z3 + 25515*z3^2 + 78120*ln2*z5 + 
    51870*sinf*z5)/6720, H[1, 0, -1, 0, 1, 1, 1] -> 
  (272*z2^3 + 616*sinf*z2*z3 - 875*z3^2 - 1148*sinf*z5)/896, 
 H[1, 0, -1, 0, 1, 0, 1] -> (136*z2^3 + 840*sinf*z2*z3 + 175*z3^2 - 
    2240*sinf*z5)/1120, H[1, 0, -1, 0, 1, -1, 1] -> 
  (80640*li6half + 53760*li5half*ln2 + 13440*li4half*ln2^2 + 224*ln2^6 + 
    30240*s6 + 53760*li5half*sinf + 26880*li4half*ln2*sinf + 672*ln2^5*sinf - 
    13440*li4half*z2 - 1120*ln2^4*z2 - 2240*ln2^3*sinf*z2 + 3360*ln2^2*z2^2 + 
    11424*ln2*sinf*z2^2 - 5400*z2^3 - 6300*ln2*z2*z3 + 7560*sinf*z2*z3 - 
    13965*z3^2 - 45570*ln2*z5 - 69510*sinf*z5)/6720, 
 H[1, 0, -1, 0, 0, 1, 1] -> (-5144*z2^3 - 17640*sinf*z2*z3 + 14595*z3^2 + 
    34860*sinf*z5)/6720, H[1, 0, -1, 0, 0, 0, 1] -> 
  (244*z2^3 - 315*z3^2 - 1575*sinf*z5)/420, H[1, 0, -1, 0, 0, -1, 1] -> 
  (16800*s6 + 2708*z2^3 - 5040*sinf*z2*z3 - 4725*z3^2 - 32550*ln2*z5 + 
    10710*sinf*z5)/6720, H[1, 0, -1, 0, -1, 1, 1] -> 
  (-161280*li6half + 80640*li4half*ln2^2 + 3136*ln2^6 - 40320*s6 - 
    161280*li5half*sinf + 1344*ln2^5*sinf - 80640*li4half*z2 - 
    20160*ln2^4*z2 - 13440*ln2^3*sinf*z2 + 20160*ln2^2*z2^2 - 
    68544*ln2*sinf*z2^2 + 22032*z2^3 + 47040*ln2^3*z3 + 70560*ln2^2*sinf*z3 - 
    103320*ln2*z2*z3 - 80640*sinf*z2*z3 + 120645*z3^2 + 325080*sinf*z5)/
   40320, H[1, 0, -1, 0, -1, 0, 1] -> 
  (240*li4half*z2 + 10*ln2^4*z2 - 60*ln2^2*z2^2 - 49*z2^3 + 210*ln2*z2*z3 + 
    110*sinf*z2*z3 - 120*z3^2 - 230*sinf*z5)/40, 
 H[1, 0, -1, 0, -1, -1, 1] -> (-46080*li6half - 46080*li5half*ln2 - 
    23040*li4half*ln2^2 - 640*ln2^6 - 7200*s6 - 23040*li5half*sinf - 
    23040*li4half*ln2*sinf - 768*ln2^5*sinf + 11520*li4half*z2 + 
    3360*ln2^4*z2 + 3840*ln2^3*sinf*z2 - 2880*ln2^2*z2^2 + 6696*z2^3 - 
    6720*ln2^3*z3 - 10080*ln2^2*sinf*z3 + 10080*ln2*z2*z3 + 8640*sinf*z2*z3 - 
    4185*z3^2 + 13950*ln2*z5 + 6570*sinf*z5)/5760, 
 H[1, 0, -1, -1, 1, 1, 1] -> (-80640*li6half - 112*ln2^6 - 10080*s6 + 
    67200*li5half*sinf - 560*ln2^5*sinf + 1680*ln2^4*z2 - 
    1120*ln2^3*sinf*z2 - 5544*ln2^2*z2^2 + 13440*ln2*sinf*z2^2 + 10848*z2^3 - 
    2520*sinf*z2*z3 + 5985*z3^2 - 51660*sinf*z5)/13440, 
 H[1, 0, -1, -1, 1, 0, 1] -> (-43680*s6 - 53760*li5half*sinf + 
    448*ln2^5*sinf - 26880*li4half*z2 - 1120*ln2^4*z2 - 4480*ln2^3*sinf*z2 + 
    14280*ln2^2*z2^2 - 2688*ln2*sinf*z2^2 + 8000*z2^3 + 10920*sinf*z2*z3 + 
    9555*z3^2 + 11760*sinf*z5)/13440, H[1, 0, -1, -1, 1, -1, 1] -> 
  (161280*li6half + 53760*li5half*ln2 + 20160*li4half*ln2^2 + 616*ln2^6 + 
    60480*s6 + 13440*li5half*sinf + 40320*li4half*ln2*sinf + 
    1568*ln2^5*sinf - 20160*li4half*z2 - 4760*ln2^4*z2 + 1120*ln2^3*sinf*z2 + 
    2688*ln2^2*z2^2 - 1344*ln2*sinf*z2^2 - 11136*z2^3 + 17640*sinf*z2*z3 - 
    33705*z3^2 - 71610*ln2*z5 - 52500*sinf*z5)/13440, 
 H[1, 0, -1, -1, 0, 1, 1] -> (-48*z2^3 - 200*sinf*z2*z3 + 125*z3^2 + 
    400*sinf*z5)/640, H[1, 0, -1, -1, 0, 0, 1] -> 
  (-82*z2^3 - 168*sinf*z2*z3 + 126*z3^2 + 483*sinf*z5)/336, 
 H[1, 0, -1, -1, 0, -1, 1] -> (-3360*s6 - 2064*z2^3 - 6440*sinf*z2*z3 + 
    5285*z3^2 + 6510*ln2*z5 + 12390*sinf*z5)/4480, 
 H[1, 0, -1, -1, -1, 1, 1] -> (-161280*li6half + 20160*li4half*ln2^2 + 
    616*ln2^6 - 40320*s6 + 40320*li5half*sinf - 336*ln2^5*sinf - 
    20160*li4half*z2 - 2520*ln2^4*z2 - 6720*ln2^3*sinf*z2 + 8064*ln2^2*z2^2 + 
    2016*ln2*sinf*z2^2 + 19008*z2^3 + 11760*ln2^3*z3 + 17640*ln2^2*sinf*z3 - 
    35280*ln2*z2*z3 - 35280*sinf*z2*z3 + 57015*z3^2 + 37800*sinf*z5)/40320, 
 H[1, 0, -1, -1, -1, 0, 1] -> (20160*li4half*z2 + 840*ln2^4*z2 - 
    5040*ln2^2*z2^2 - 3152*z2^3 + 17640*ln2*z2*z3 + 12600*sinf*z2*z3 - 
    13755*z3^2 - 24780*sinf*z5)/13440, H[1, 0, -1, -1, -1, -1, 1] -> 
  (-80640*li6half - 80640*li5half*ln2 - 40320*li4half*ln2^2 - 1120*ln2^6 - 
    20160*s6 - 40320*li5half*sinf - 40320*li4half*ln2*sinf - 
    1344*ln2^5*sinf + 20160*li4half*z2 + 5880*ln2^4*z2 + 6720*ln2^3*sinf*z2 - 
    5040*ln2^2*z2^2 + 6912*z2^3 - 11760*ln2^3*z3 - 17640*ln2^2*sinf*z3 + 
    17640*ln2*z2*z3 + 5355*z3^2 + 39060*ln2*z5 + 40320*sinf*z5)/40320, 
 H[1, -1, 1, 1, 1, 1, 1] -> -5*li6half + li5half*sinf, 
 H[1, -1, 1, 1, 1, 0, 1] -> (20160*li6half - 1680*li4half*ln2^2 - 42*ln2^6 - 
    840*s6 - 6720*li5half*sinf - 3360*li4half*ln2*sinf - 84*ln2^5*sinf - 
    1680*li4half*z2 + 350*ln2^4*z2 + 560*ln2^3*sinf*z2 - 42*ln2^2*z2^2 + 
    168*ln2*sinf*z2^2 - 480*z2^3 - 1120*ln2^3*z3 - 1680*ln2^2*sinf*z3 + 
    3360*ln2*z2*z3 + 1680*sinf*z2*z3 - 2625*z3^2 - 105*sinf*z5)/3360, 
 H[1, -1, 1, 1, 1, -1, 1] -> (120960*li6half - 10080*li4half*ln2^2 - 
    392*ln2^6 + 50400*s6 - 40320*li5half*sinf - 20160*li4half*ln2*sinf - 
    672*ln2^5*sinf + 10080*li4half*z2 + 2520*ln2^4*z2 + 3360*ln2^3*sinf*z2 - 
    2520*ln2^2*z2^2 - 10368*z2^3 - 5880*ln2^3*z3 - 8820*ln2^2*sinf*z3 + 
    17640*ln2*z2*z3 + 8820*sinf*z2*z3 - 34335*z3^2 - 80640*ln2*z5 + 
    17010*sinf*z5)/20160, H[1, -1, 1, 1, 0, 1, 1] -> 
  (40320*li6half + 30240*li4half*ln2^2 + 1316*ln2^6 + 15120*s6 + 
    40320*li5half*sinf + 60480*li4half*ln2*sinf + 2184*ln2^5*sinf - 
    90720*li4half*z2 - 9660*ln2^4*z2 - 8400*ln2^3*sinf*z2 + 5796*ln2^2*z2^2 - 
    9576*ln2*sinf*z2^2 + 8640*z2^3 + 19320*ln2^3*z3 + 28980*ln2^2*sinf*z3 - 
    57960*ln2*z2*z3 - 11340*sinf*z2*z3 + 27405*z3^2 - 7245*sinf*z5)/20160, 
 H[1, -1, 1, 1, 0, 0, 1] -> (-13440*li4half*ln2^2 - 560*ln2^6 + 33600*s6 - 
    26880*li5half*sinf - 26880*li4half*ln2*sinf - 896*ln2^5*sinf + 
    26880*li4half*z2 + 4480*ln2^4*z2 + 4480*ln2^3*sinf*z2 - 
    11760*ln2^2*z2^2 - 6384*ln2*sinf*z2^2 - 9648*z2^3 - 4480*ln2^3*z3 - 
    6720*ln2^2*sinf*z3 + 10920*ln2*z2*z3 + 5880*sinf*z2*z3 - 17115*z3^2 + 
    31710*sinf*z5)/13440, H[1, -1, 1, 1, 0, -1, 1] -> 
  (282240*li6half + 40320*li5half*ln2 - 20160*li4half*ln2^2 - 784*ln2^6 + 
    110880*s6 - 94080*li5half*sinf - 40320*li4half*ln2*sinf - 
    896*ln2^5*sinf + 3360*ln2^4*z2 + 3360*ln2^3*sinf*z2 - 32256*ln2^2*z2^2 - 
    22176*ln2*sinf*z2^2 - 46632*z2^3 + 2800*ln2^3*z3 + 4200*ln2^2*sinf*z3 - 
    8400*ln2*z2*z3 + 1680*sinf*z2*z3 - 37905*z3^2 + 58590*ln2*z5 + 
    95970*sinf*z5)/13440, H[1, -1, 1, 1, -1, 1, 1] -> 
  (4320*li4half*ln2^2 + 160*ln2^6 + 8640*li5half*sinf + 
    8640*li4half*ln2*sinf + 264*ln2^5*sinf - 4320*li4half*z2 - 960*ln2^4*z2 - 
    1200*ln2^3*sinf*z2 + 1440*ln2^2*z2^2 + 360*ln2*sinf*z2^2 + 
    1680*ln2^3*z3 + 2520*ln2^2*sinf*z3 - 5040*ln2*z2*z3 - 2520*sinf*z2*z3 + 
    4410*z3^2 - 3645*sinf*z5)/2880, H[1, -1, 1, 1, -1, 0, 1] -> 
  (-40320*li6half - 13440*li4half*ln2^2 - 616*ln2^6 + 6720*s6 - 
    13440*li5half*sinf - 26880*li4half*ln2*sinf - 1008*ln2^5*sinf + 
    13440*li4half*z2 + 3080*ln2^4*z2 + 4480*ln2^3*sinf*z2 - 1512*ln2^2*z2^2 - 
    672*ln2*sinf*z2^2 + 7944*z2^3 - 7280*ln2^3*z3 - 10920*ln2^2*sinf*z3 + 
    4200*ln2*z2*z3 + 5040*sinf*z2*z3 - 12075*z3^2 + 6930*sinf*z5)/13440, 
 H[1, -1, 1, 1, -1, -1, 1] -> (-60480*li6half + 56*ln2^6 - 60480*s6 + 
    168*ln2^5*sinf - 840*ln2^4*z2 - 1680*ln2^3*sinf*z2 - 2520*ln2^2*z2^2 - 
    2520*ln2*sinf*z2^2 + 360*z2^3 + 5880*ln2^3*z3 + 8820*ln2^2*sinf*z3 - 
    7560*ln2*z2*z3 + 1260*sinf*z2*z3 + 21735*z3^2 + 90720*ln2*z5 - 
    945*sinf*z5)/20160, H[1, -1, 1, 0, 1, 1, 1] -> 
  (14400*li6half - 4320*li4half*ln2^2 - 160*ln2^6 - 11520*li5half*sinf - 
    8640*li4half*ln2*sinf - 264*ln2^5*sinf + 4320*li4half*z2 + 960*ln2^4*z2 + 
    1200*ln2^3*sinf*z2 + 288*ln2^2*z2^2 - 360*ln2*sinf*z2^2 - 1728*z2^3 - 
    2640*ln2^3*z3 - 3960*ln2^2*sinf*z3 + 7920*ln2*z2*z3 + 3960*sinf*z2*z3 - 
    9450*z3^2 + 3645*sinf*z5)/2880, H[1, -1, 1, 0, 1, 0, 1] -> 
  (-80640*li6half + 13440*li4half*ln2^2 + 448*ln2^6 - 38640*s6 + 
    53760*li5half*sinf + 26880*li4half*ln2*sinf + 672*ln2^5*sinf - 
    6720*li4half*z2 - 1960*ln2^4*z2 - 2240*ln2^3*sinf*z2 + 7896*ln2^2*z2^2 + 
    8568*ln2*sinf*z2^2 + 9820*z2^3 + 4480*ln2^3*z3 + 6720*ln2^2*sinf*z3 - 
    10920*ln2*z2*z3 - 5880*sinf*z2*z3 + 36645*z3^2 - 47670*sinf*z5)/6720, 
 H[1, -1, 1, 0, 1, -1, 1] -> (-80640*li6half - 6720*li5half*ln2 + 
    5880*li4half*ln2^2 + 189*ln2^6 - 43680*s6 + 26880*li5half*sinf + 
    11760*li4half*ln2*sinf + 266*ln2^5*sinf - 5880*li4half*z2 - 
    1435*ln2^4*z2 - 1960*ln2^3*sinf*z2 + 11109*ln2^2*z2^2 + 
    5922*ln2*sinf*z2^2 + 10929*z2^3 + 560*ln2^3*z3 + 840*ln2^2*sinf*z3 - 
    6090*ln2*z2*z3 - 840*sinf*z2*z3 + 19320*z3^2 + 9765*ln2*z5 - 
    25725*sinf*z5)/1680, H[1, -1, 1, 0, 0, 1, 1] -> 
  (80640*li6half + 112*ln2^6 + 105840*s6 - 40320*li5half*sinf + 
    336*ln2^5*sinf + 60480*li4half*z2 + 840*ln2^4*z2 - 3360*ln2^3*sinf*z2 - 
    22176*ln2^2*z2^2 - 12096*ln2*sinf*z2^2 - 29172*z2^3 + 5040*ln2^3*z3 + 
    7560*ln2^2*sinf*z3 - 15120*ln2*z2*z3 - 27720*sinf*z2*z3 - 23940*z3^2 + 
    97965*sinf*z5)/20160, H[1, -1, 1, 0, 0, 0, 1] -> 
  (-5600*s6 + 1232*ln2^2*z2^2 + 784*ln2*sinf*z2^2 + 544*z2^3 + 
    2520*ln2*z2*z3 + 840*sinf*z2*z3 - 385*z3^2 - 4480*sinf*z5)/2240, 
 H[1, -1, 1, 0, 0, -1, 1] -> (-40320*li6half - 13440*li5half*ln2 + 56*ln2^6 + 
    5040*s6 + 10080*li4half*z2 + 140*ln2^4*z2 + 2016*ln2^2*z2^2 + 
    840*ln2*sinf*z2^2 + 7192*z2^3 - 1680*ln2^3*z3 - 2520*ln2^2*sinf*z3 + 
    5040*ln2*z2*z3 - 840*sinf*z2*z3 - 8610*z3^2 - 29295*ln2*z5 + 
    3150*sinf*z5)/6720, H[1, -1, 1, 0, -1, 1, 1] -> 
  (282240*li6half - 23520*li4half*ln2^2 - 588*ln2^6 + 157920*s6 - 
    87360*li5half*sinf - 26880*li4half*ln2*sinf - 392*ln2^5*sinf + 
    23520*li4half*z2 + 4340*ln2^4*z2 + 4480*ln2^3*sinf*z2 - 
    44268*ln2^2*z2^2 - 22680*ln2*sinf*z2^2 - 40932*z2^3 + 2240*ln2^3*z3 + 
    3360*ln2^2*sinf*z3 + 10920*ln2*z2*z3 - 3360*sinf*z2*z3 - 62895*z3^2 + 
    95655*sinf*z5)/6720, H[1, -1, 1, 0, -1, 0, 1] -> 
  (-11520*li6half + 1920*li4half*ln2^2 + 64*ln2^6 - 9120*s6 + 
    7680*li5half*sinf + 3840*li4half*ln2*sinf + 96*ln2^5*sinf + 
    480*li4half*z2 - 220*ln2^4*z2 - 320*ln2^3*sinf*z2 + 996*ln2^2*z2^2 + 
    1320*ln2*sinf*z2^2 + 1016*z2^3 + 480*ln2^3*z3 + 720*ln2^2*sinf*z3 + 
    3240*ln2*z2*z3 + 840*sinf*z2*z3 + 3405*z3^2 - 9930*sinf*z5)/960, 
 H[1, -1, 1, 0, -1, -1, 1] -> (40320*li6half + 80640*li5half*ln2 + 
    20160*li4half*ln2^2 + 224*ln2^6 + 40320*s6 + 40320*li5half*sinf - 
    336*ln2^5*sinf + 840*ln2^4*z2 + 3360*ln2^3*sinf*z2 + 16632*ln2^2*z2^2 + 
    16128*ln2*sinf*z2^2 + 768*z2^3 - 12320*ln2^3*z3 - 18480*ln2^2*sinf*z3 + 
    19320*ln2*z2*z3 + 840*sinf*z2*z3 - 20265*z3^2 - 156240*ln2*z5 - 
    41580*sinf*z5)/13440, H[1, -1, 1, -1, 1, 1, 1] -> 
  (60480*li6half - 30240*li4half*ln2^2 - 1316*ln2^6 - 15120*s6 - 
    60480*li5half*sinf - 60480*li4half*ln2*sinf - 2184*ln2^5*sinf + 
    30240*li4half*z2 + 9660*ln2^4*z2 + 11760*ln2^3*sinf*z2 - 
    5796*ln2^2*z2^2 - 504*ln2*sinf*z2^2 - 8640*z2^3 - 26040*ln2^3*z3 - 
    28980*ln2^2*sinf*z3 + 78120*ln2*z2*z3 + 28980*sinf*z2*z3 - 62685*z3^2 + 
    7245*sinf*z5)/20160, H[1, -1, 1, -1, 1, 0, 1] -> 
  (-20160*li6half - 28*ln2^6 + 5040*s6 - 420*ln2^4*z2 - 560*ln2^3*sinf*z2 + 
    588*ln2^2*z2^2 - 672*ln2*sinf*z2^2 + 2376*z2^3 + 2240*ln2^3*z3 + 
    3360*ln2^2*sinf*z3 - 15960*ln2*z2*z3 - 4200*sinf*z2*z3 + 12075*z3^2 + 
    6720*sinf*z5)/6720, H[1, -1, 1, -1, 1, -1, 1] -> 
  (70*ln2^6 + 84*ln2^5*sinf - 1050*ln2^4*z2 - 840*ln2^3*sinf*z2 - 
    882*ln2^2*z2^2 + 252*ln2*sinf*z2^2 - 1098*z2^3 + 4200*ln2^3*z3 + 
    1260*ln2^2*sinf*z3 - 12600*ln2*z2*z3 - 1260*sinf*z2*z3 + 4725*z3^2 + 
    20160*ln2*z5 + 1890*sinf*z5)/10080, H[1, -1, 1, -1, 0, 1, 1] -> 
  (-60480*li6half + 13440*li4half*ln2^2 + 476*ln2^6 - 11760*s6 + 
    33600*li5half*sinf + 26880*li4half*ln2*sinf + 840*ln2^5*sinf - 
    13440*li4half*z2 - 3500*ln2^4*z2 - 5040*ln2^3*sinf*z2 + 8988*ln2^2*z2^2 + 
    3192*ln2*sinf*z2^2 + 9312*z2^3 + 7280*ln2^3*z3 + 10920*ln2^2*sinf*z3 - 
    35280*ln2*z2*z3 - 12600*sinf*z2*z3 + 29400*z3^2 - 10605*sinf*z5)/6720, 
 H[1, -1, 1, -1, 0, 0, 1] -> (10080*li6half + 14*ln2^6 - 11340*s6 - 
    210*ln2^4*z2 + 1890*ln2^2*z2^2 + 2394*ln2*sinf*z2^2 - 1107*z2^3 - 
    1260*ln2^3*z3 - 1890*ln2^2*sinf*z3 + 11340*ln2*z2*z3 + 4410*sinf*z2*z3 - 
    7560*z3^2 - 9450*sinf*z5)/5040, H[1, -1, 1, -1, 0, -1, 1] -> 
  (-443520*li6half - 60480*li5half*ln2 + 40320*li4half*ln2^2 + 1568*ln2^6 - 
    201600*s6 + 161280*li5half*sinf + 80640*li4half*ln2*sinf + 
    2016*ln2^5*sinf - 40320*li4half*z2 - 8820*ln2^4*z2 - 8400*ln2^3*sinf*z2 + 
    58464*ln2^2*z2^2 + 33264*ln2*sinf*z2^2 + 72396*z2^3 + 1680*ln2^3*z3 + 
    2520*ln2^2*sinf*z3 - 25200*ln2*z2*z3 - 5040*sinf*z2*z3 + 86625*z3^2 - 
    29295*ln2*z5 - 153720*sinf*z5)/20160, H[1, -1, 1, -1, -1, 1, 1] -> 
  (120960*li6half + 308*ln2^6 + 120960*s6 - 60480*li5half*sinf + 
    672*ln2^5*sinf - 4620*ln2^4*z2 - 6720*ln2^3*sinf*z2 - 26460*ln2^2*z2^2 - 
    24192*ln2*sinf*z2^2 - 18012*z2^3 + 26040*ln2^3*z3 + 28980*ln2^2*sinf*z3 - 
    57960*ln2*z2*z3 - 28980*sinf*z2*z3 + 2835*z3^2 + 116235*sinf*z5)/20160, 
 H[1, -1, 1, -1, -1, 0, 1] -> (80640*li6half + 20160*li4half*ln2^2 + 
    952*ln2^6 - 90720*s6 + 40320*li5half*sinf + 40320*li4half*ln2*sinf + 
    1344*ln2^5*sinf + 100800*li4half*z2 + 2520*ln2^4*z2 - 
    3360*ln2^3*sinf*z2 - 28728*ln2^2*z2^2 + 4032*ln2*sinf*z2^2 - 43632*z2^3 - 
    1680*ln2^3*z3 - 2520*ln2^2*sinf*z3 + 219240*ln2*z2*z3 + 
    60480*sinf*z2*z3 - 69615*z3^2 - 157500*sinf*z5)/40320, 
 H[1, -1, 1, -1, -1, -1, 1] -> (-23520*li6half + 1680*li4half*ln2^2 + 
    14*ln2^6 - 7560*s6 + 13440*li5half*sinf + 3360*li4half*ln2*sinf - 
    1680*li4half*z2 + 350*ln2^4*z2 + 560*ln2^3*sinf*z2 + 4830*ln2^2*z2^2 + 
    4032*ln2*sinf*z2^2 + 4576*z2^3 - 3360*ln2^3*z3 - 3360*ln2^2*sinf*z3 + 
    3360*ln2*z2*z3 + 2415*z3^2 - 18480*ln2*z5 - 13440*sinf*z5)/3360, 
 H[1, -1, 0, 1, 1, 1, 1] -> (-20160*li6half + 10080*li4half*ln2^2 + 
    392*ln2^6 - 50400*s6 + 20160*li5half*sinf + 20160*li4half*ln2*sinf + 
    672*ln2^5*sinf - 10080*li4half*z2 - 2520*ln2^4*z2 - 3360*ln2^3*sinf*z2 + 
    6552*ln2^2*z2^2 + 8064*ln2*sinf*z2^2 + 6336*z2^3 + 5880*ln2^3*z3 + 
    8820*ln2^2*sinf*z3 - 17640*ln2*z2*z3 - 8820*sinf*z2*z3 + 34335*z3^2 - 
    17010*sinf*z5)/20160, H[1, -1, 0, 1, 1, 0, 1] -> 
  (36960*s6 + 13440*li4half*z2 + 560*ln2^4*z2 - 6720*ln2^2*z2^2 - 
    6720*ln2*sinf*z2^2 - 2904*z2^3 - 2520*ln2*z2*z3 - 840*sinf*z2*z3 - 
    12495*z3^2 + 11130*sinf*z5)/13440, H[1, -1, 0, 1, 1, -1, 1] -> 
  (14400*li6half - 1920*li5half*ln2 - 1440*li4half*ln2^2 - 24*ln2^6 + 
    8880*s6 - 6720*li5half*sinf - 2880*li4half*ln2*sinf - 64*ln2^5*sinf + 
    1440*li4half*z2 + 320*ln2^4*z2 + 880*ln2^3*sinf*z2 - 3996*ln2^2*z2^2 - 
    1656*ln2*sinf*z2^2 - 2112*z2^3 - 3330*z3^2 + 4185*ln2*z5 + 6855*sinf*z5)/
   960, H[1, -1, 0, 1, 0, 1, 1] -> (80640*li6half - 40320*li4half*ln2^2 - 
    1568*ln2^6 + 35280*s6 - 80640*li5half*sinf - 80640*li4half*ln2*sinf - 
    2688*ln2^5*sinf + 100800*li4half*z2 + 12600*ln2^4*z2 + 
    13440*ln2^3*sinf*z2 - 22176*ln2^2*z2^2 + 6048*ln2*sinf*z2^2 - 
    28764*z2^3 - 23520*ln2^3*z3 - 35280*ln2^2*sinf*z3 + 70560*ln2*z2*z3 + 
    22680*sinf*z2*z3 - 62370*z3^2 + 28035*sinf*z5)/20160, 
 H[1, -1, 0, 1, 0, 0, 1] -> (-8400*s6 - 13440*li4half*z2 - 560*ln2^4*z2 + 
    5376*ln2^2*z2^2 + 4032*ln2*sinf*z2^2 + 2008*z2^3 - 7560*ln2*z2*z3 - 
    2520*sinf*z2*z3 + 6195*z3^2 + 2205*sinf*z5)/3360, 
 H[1, -1, 0, 1, 0, -1, 1] -> (53760*li5half*ln2 + 26880*li4half*ln2^2 + 
    672*ln2^6 + 107520*li5half*sinf + 53760*li4half*ln2*sinf + 
    1344*ln2^5*sinf - 6720*li4half*z2 - 2520*ln2^4*z2 - 4480*ln2^3*sinf*z2 + 
    13608*ln2^2*z2^2 + 23856*ln2*sinf*z2^2 + 4128*z2^3 - 4200*sinf*z2*z3 + 
    2625*z3^2 - 84630*ln2*z5 - 103320*sinf*z5)/13440, 
 H[1, -1, 0, 1, -1, 1, 1] -> (-282240*li6half + 3360*li4half*ln2^2 - 
    252*ln2^6 - 157920*s6 + 73920*li5half*sinf - 616*ln2^5*sinf - 
    3360*li4half*z2 - 140*ln2^4*z2 - 3920*ln2^3*sinf*z2 + 37884*ln2^2*z2^2 + 
    23688*ln2*sinf*z2^2 + 37236*z2^3 - 5880*ln2^3*z3 - 8820*ln2^2*sinf*z3 + 
    17640*ln2*z2*z3 + 8820*sinf*z2*z3 + 43785*z3^2 - 88725*sinf*z5)/6720, 
 H[1, -1, 0, 1, -1, 0, 1] -> (46080*li6half - 3840*li4half*ln2^2 - 96*ln2^6 + 
    24960*s6 - 30720*li5half*sinf - 7680*li4half*ln2*sinf - 64*ln2^5*sinf - 
    2880*li4half*z2 - 120*ln2^4*z2 - 640*ln2^3*sinf*z2 - 3000*ln2^2*z2^2 - 
    6672*ln2*sinf*z2^2 - 5328*z2^3 - 4680*ln2*z2*z3 - 1560*sinf*z2*z3 - 
    6825*z3^2 + 32820*sinf*z5)/1920, H[1, -1, 0, 1, -1, -1, 1] -> 
  (11520*li6half - 720*li4half*ln2^2 - 14*ln2^6 + 6240*s6 - 
    3360*li5half*sinf - 960*li4half*ln2*sinf - 12*ln2^5*sinf + 
    480*li4half*z2 + 140*ln2^4*z2 + 320*ln2^3*sinf*z2 - 1716*ln2^2*z2^2 - 
    828*ln2*sinf*z2^2 - 1494*z2^3 - 2340*z3^2 + 3315*sinf*z5)/480, 
 H[1, -1, 0, 0, 1, 1, 1] -> (-20160*li6half + 10080*li4half*ln2^2 + 
    392*ln2^6 - 5040*s6 + 20160*li5half*sinf + 20160*li4half*ln2*sinf + 
    672*ln2^5*sinf - 10080*li4half*z2 - 2520*ln2^4*z2 - 3360*ln2^3*sinf*z2 + 
    3024*ln2^2*z2^2 + 1008*ln2*sinf*z2^2 + 540*z2^3 + 5880*ln2^3*z3 + 
    8820*ln2^2*sinf*z3 - 17640*ln2*z2*z3 - 8820*sinf*z2*z3 + 25515*z3^2 - 
    4725*sinf*z5)/10080, H[1, -1, 0, 0, 1, 0, 1] -> 
  (16800*s6 + 13440*li4half*z2 + 560*ln2^4*z2 - 7392*ln2^2*z2^2 - 
    8064*ln2*sinf*z2^2 + 2600*z2^3 + 7560*ln2*z2*z3 + 2520*sinf*z2*z3 - 
    21315*z3^2 + 2310*sinf*z5)/6720, H[1, -1, 0, 0, 1, -1, 1] -> 
  (20160*li6half + 6720*li5half*ln2 - 3360*li4half*ln2^2 - 168*ln2^6 + 
    14280*s6 - 6720*li4half*ln2*sinf - 280*ln2^5*sinf + 3360*li4half*z2 + 
    1120*ln2^4*z2 + 1680*ln2^3*sinf*z2 - 5418*ln2^2*z2^2 - 2256*z2^3 + 
    8190*ln2*z2*z3 - 8085*z3^2 - 16275*ln2*z5 + 1575*sinf*z5)/3360, 
 H[1, -1, 0, 0, 0, 1, 1] -> (-8400*s6 - 6720*li4half*z2 - 280*ln2^4*z2 + 
    2352*ln2^2*z2^2 + 1344*ln2*sinf*z2^2 + 1060*z2^3 + 2520*sinf*z2*z3 + 
    3360*z3^2 - 6195*sinf*z5)/3360, H[1, -1, 0, 0, 0, 0, 1] -> 
  (560*s6 - 128*z2^3 + 525*sinf*z5)/560, H[1, -1, 0, 0, 0, -1, 1] -> 
  (-13440*s6 - 3360*li4half*z2 - 140*ln2^4*z2 + 1428*ln2^2*z2^2 + 
    1176*ln2*sinf*z2^2 - 1756*z2^3 + 1260*sinf*z2*z3 + 6300*z3^2 + 
    16275*ln2*z5 - 3570*sinf*z5)/3360, H[1, -1, 0, 0, -1, 1, 1] -> 
  (1920*li4half*ln2^2 + 80*ln2^6 - 7680*li5half*sinf + 64*ln2^5*sinf - 
    1920*li4half*z2 - 560*ln2^4*z2 - 640*ln2^3*sinf*z2 + 2448*ln2^2*z2^2 - 
    1296*ln2*sinf*z2^2 + 192*z2^3 - 4680*ln2*z2*z3 + 2535*z3^2 + 
    6480*sinf*z5)/1920, H[1, -1, 0, 0, -1, 0, 1] -> 
  (23520*s6 + 6720*li4half*z2 + 280*ln2^4*z2 - 5208*ln2^2*z2^2 - 
    7056*ln2*sinf*z2^2 + 3484*z2^3 - 7560*ln2*z2*z3 - 2520*sinf*z2*z3 - 
    12915*z3^2 + 10710*sinf*z5)/6720, H[1, -1, 0, 0, -1, -1, 1] -> 
  (-322560*li6half - 241920*li5half*ln2 - 40320*li4half*ln2^2 - 112*ln2^6 - 
    181440*s6 - 80640*li5half*sinf + 672*ln2^5*sinf - 3360*ln2^4*z2 - 
    6720*ln2^3*sinf*z2 - 15120*ln2^2*z2^2 - 30240*ln2*sinf*z2^2 + 
    32904*z2^3 + 23520*ln2^3*z3 + 35280*ln2^2*sinf*z3 - 35280*ln2*z2*z3 + 
    76545*z3^2 + 332010*ln2*z5 + 78750*sinf*z5)/40320, 
 H[1, -1, 0, -1, 1, 1, 1] -> (322560*li6half + 13440*li4half*ln2^2 + 
    1008*ln2^6 + 154560*s6 - 80640*li5half*sinf + 26880*li4half*ln2*sinf + 
    1792*ln2^5*sinf - 13440*li4half*z2 - 5600*ln2^4*z2 - 3360*ln2^3*sinf*z2 - 
    20664*ln2^2*z2^2 - 25872*ln2*sinf*z2^2 - 44088*z2^3 + 17640*ln2^3*z3 + 
    17640*ln2^2*sinf*z3 - 52920*ln2*z2*z3 - 17640*sinf*z2*z3 - 11655*z3^2 + 
    102480*sinf*z5)/13440, H[1, -1, 0, -1, 1, 0, 1] -> 
  (-80640*li6half + 6720*li4half*ln2^2 + 168*ln2^6 - 38640*s6 + 
    53760*li5half*sinf + 13440*li4half*ln2*sinf + 112*ln2^5*sinf + 
    6720*li4half*z2 + 280*ln2^4*z2 + 1120*ln2^3*sinf*z2 + 3990*ln2^2*z2^2 + 
    9996*ln2*sinf*z2^2 + 9678*z2^3 + 9450*ln2*z2*z3 + 1680*sinf*z2*z3 + 
    7350*z3^2 - 53235*sinf*z5)/3360, H[1, -1, 0, -1, 1, -1, 1] -> 
  (-282240*li6half - 13440*li5half*ln2 - 280*ln2^6 - 134400*s6 + 
    53760*li5half*sinf - 448*ln2^5*sinf - 280*ln2^4*z2 - 5600*ln2^3*sinf*z2 + 
    32928*ln2^2*z2^2 + 15456*ln2*sinf*z2^2 + 36192*z2^3 - 2940*ln2^3*z3 + 
    8820*ln2*z2*z3 + 48195*z3^2 - 6510*ln2*z5 - 51240*sinf*z5)/6720, 
 H[1, -1, 0, -1, 0, 1, 1] -> (161280*li6half - 80640*li4half*ln2^2 - 
    3136*ln2^6 + 40320*s6 - 161280*li5half*sinf - 161280*li4half*ln2*sinf - 
    5376*ln2^5*sinf + 241920*li4half*z2 + 26880*ln2^4*z2 + 
    26880*ln2^3*sinf*z2 - 58968*ln2^2*z2^2 + 3024*ln2*sinf*z2^2 - 
    73944*z2^3 - 47040*ln2^3*z3 - 70560*ln2^2*sinf*z3 + 246960*ln2*z2*z3 + 
    60480*sinf*z2*z3 - 161595*z3^2 + 41580*sinf*z5)/40320, 
 H[1, -1, 0, -1, 0, 0, 1] -> (-10080*s6 - 26880*li4half*z2 - 1120*ln2^4*z2 + 
    10248*ln2^2*z2^2 + 7056*ln2*sinf*z2^2 + 1864*z2^3 - 20160*ln2*z2*z3 - 
    6720*sinf*z2*z3 + 20475*z3^2 + 8610*sinf*z5)/6720, 
 H[1, -1, 0, -1, 0, -1, 1] -> (13440*li5half*ln2 + 6720*li4half*ln2^2 + 
    168*ln2^6 - 13440*s6 + 26880*li5half*sinf + 13440*li4half*ln2*sinf + 
    336*ln2^5*sinf - 560*ln2^4*z2 - 1120*ln2^3*sinf*z2 + 2730*ln2^2*z2^2 + 
    5460*ln2*sinf*z2^2 - 2502*z2^3 + 4410*ln2*z2*z3 - 420*sinf*z2*z3 + 
    4200*z3^2 + 3255*ln2*z5 - 26250*sinf*z5)/3360, 
 H[1, -1, 0, -1, -1, 1, 1] -> (282240*li6half - 26880*li4half*ln2^2 - 
    728*ln2^6 + 114240*s6 - 53760*li5half*sinf - 13440*li4half*ln2*sinf - 
    112*ln2^5*sinf + 26880*li4half*z2 + 7000*ln2^4*z2 + 8960*ln2^3*sinf*z2 - 
    27384*ln2^2*z2^2 - 6720*ln2*sinf*z2^2 - 39624*z2^3 - 17640*ln2^3*z3 - 
    17640*ln2^2*sinf*z3 + 35280*ln2*z2*z3 + 17640*sinf*z2*z3 - 71505*z3^2 + 
    14700*sinf*z5)/13440, H[1, -1, 0, -1, -1, 0, 1] -> 
  (7840*s6 - 20160*li4half*z2 - 840*ln2^4*z2 + 4760*ln2^2*z2^2 - 
    560*ln2*sinf*z2^2 + 5896*z2^3 - 24360*ln2*z2*z3 - 6160*sinf*z2*z3 + 
    7805*z3^2 + 12390*sinf*z5)/4480, H[1, -1, 0, -1, -1, -1, 1] -> 
  (20160*li6half + 80640*li5half*ln2 + 60480*li4half*ln2^2 + 1876*ln2^6 - 
    55440*s6 + 80640*li5half*sinf + 60480*li4half*ln2*sinf + 
    1848*ln2^5*sinf - 30240*li4half*z2 - 10080*ln2^4*z2 - 
    8400*ln2^3*sinf*z2 + 11592*ln2^2*z2^2 + 8064*ln2*sinf*z2^2 - 5184*z2^3 + 
    20580*ln2^3*z3 + 17640*ln2^2*sinf*z3 - 17640*ln2*z2*z3 + 22995*z3^2 + 
    29295*ln2*z5 - 80640*sinf*z5)/20160, H[1, -1, -1, 1, 1, 1, 1] -> 
  (-3360*li6half + 1680*li4half*ln2^2 + 42*ln2^6 + 840*s6 + 
    3360*li5half*sinf + 3360*li4half*ln2*sinf + 84*ln2^5*sinf - 
    1680*li4half*z2 - 350*ln2^4*z2 - 560*ln2^3*sinf*z2 + 42*ln2^2*z2^2 - 
    168*ln2*sinf*z2^2 + 480*z2^3 + 1120*ln2^3*z3 + 1680*ln2^2*sinf*z3 - 
    3360*ln2*z2*z3 - 1680*sinf*z2*z3 + 2625*z3^2 + 105*sinf*z5)/3360, 
 H[1, -1, -1, 1, 1, 0, 1] -> (-23040*li6half + 2880*li4half*ln2^2 + 
    88*ln2^6 - 15840*s6 + 11520*li5half*sinf + 5760*li4half*ln2*sinf + 
    144*ln2^5*sinf - 2880*li4half*z2 - 720*ln2^4*z2 - 720*ln2^3*sinf*z2 + 
    4248*ln2^2*z2^2 + 2520*ln2*sinf*z2^2 + 3456*z2^3 + 120*ln2^3*z3 + 
    180*ln2^2*sinf*z3 + 360*ln2*z2*z3 + 180*sinf*z2*z3 + 5670*z3^2 - 
    12465*sinf*z5)/2880, H[1, -1, -1, 1, 1, -1, 1] -> 
  (280*ln2^6 + 336*ln2^5*sinf - 840*ln2^4*z2 + 4536*ln2^2*z2^2 + 
    2016*ln2*sinf*z2^2 + 1224*z2^3 - 1680*ln2^3*z3 - 2520*ln2^2*sinf*z3 + 
    2520*ln2*z2*z3 - 315*z3^2 - 20160*ln2*z5 - 1890*sinf*z5)/40320, 
 H[1, -1, -1, 1, 0, 1, 1] -> (20160*li6half - 40320*li4half*ln2^2 - 
    1652*ln2^6 - 5040*s6 - 80640*li5half*sinf - 80640*li4half*ln2*sinf - 
    2688*ln2^5*sinf + 40320*li4half*z2 + 8820*ln2^4*z2 + 
    10080*ln2^3*sinf*z2 - 4284*ln2^2*z2^2 - 1512*ln2*sinf*z2^2 - 6408*z2^3 - 
    19320*ln2^3*z3 - 28980*ln2^2*sinf*z3 + 55440*ln2*z2*z3 + 
    28980*sinf*z2*z3 - 47250*z3^2 + 26775*sinf*z5)/20160, 
 H[1, -1, -1, 1, 0, 0, 1] -> (46080*li6half - 5760*li4half*ln2^2 - 
    176*ln2^6 + 31680*s6 - 23040*li5half*sinf - 11520*li4half*ln2*sinf - 
    288*ln2^5*sinf - 5760*li4half*z2 + 240*ln2^4*z2 + 960*ln2^3*sinf*z2 - 
    3456*ln2^2*z2^2 - 4320*ln2*sinf*z2^2 - 5040*z2^3 - 1440*ln2^3*z3 - 
    2160*ln2^2*sinf*z3 - 11880*ln2*z2*z3 - 4680*sinf*z2*z3 - 4185*z3^2 + 
    33840*sinf*z5)/5760, H[1, -1, -1, 1, 0, -1, 1] -> 
  (-20160*li5half*ln2 - 13440*li4half*ln2^2 - 392*ln2^6 - 
    47040*li5half*sinf - 26880*li4half*ln2*sinf - 728*ln2^5*sinf + 
    13440*li4half*z2 + 1820*ln2^4*z2 + 2240*ln2^3*sinf*z2 - 6384*ln2^2*z2^2 - 
    8064*ln2*sinf*z2^2 - 5244*z2^3 - 1400*ln2^3*z3 - 2100*ln2^2*sinf*z3 + 
    2100*ln2*z2*z3 + 420*sinf*z2*z3 - 525*z3^2 + 39060*ln2*z5 + 
    46410*sinf*z5)/6720, H[1, -1, -1, 1, -1, 1, 1] -> 
  (-120960*li6half - 28*ln2^6 - 120960*s6 + 60480*li5half*sinf - 
    336*ln2^5*sinf + 2100*ln2^4*z2 + 5040*ln2^3*sinf*z2 + 25452*ln2^2*z2^2 + 
    24192*ln2*sinf*z2^2 + 19020*z2^3 - 18480*ln2^3*z3 - 27720*ln2^2*sinf*z3 + 
    57960*ln2*z2*z3 + 30240*sinf*z2*z3 - 7245*z3^2 - 118125*sinf*z5)/20160, 
 H[1, -1, -1, 1, -1, 0, 1] -> (60480*li6half - 10080*li4half*ln2^2 - 
    336*ln2^6 + 48720*s6 - 33600*li5half*sinf - 20160*li4half*ln2*sinf - 
    560*ln2^5*sinf - 10080*li4half*z2 + 1680*ln2^4*z2 + 2800*ln2^3*sinf*z2 - 
    5712*ln2^2*z2^2 - 5880*ln2*sinf*z2^2 - 4596*z2^3 - 2240*ln2^3*z3 - 
    3360*ln2^2*sinf*z3 - 24360*ln2*z2*z3 - 9240*sinf*z2*z3 - 3675*z3^2 + 
    51870*sinf*z5)/6720, H[1, -1, -1, 1, -1, -1, 1] -> 
  (362880*li6half - 60480*li4half*ln2^2 - 2296*ln2^6 + 151200*s6 - 
    241920*li5half*sinf - 120960*li4half*ln2*sinf - 3360*ln2^5*sinf + 
    60480*li4half*z2 + 10920*ln2^4*z2 + 10080*ln2^3*sinf*z2 - 
    66024*ln2^2*z2^2 - 48384*ln2*sinf*z2^2 - 74880*z2^3 + 1680*ln2^3*z3 + 
    2520*ln2^2*sinf*z3 - 2520*ln2*z2*z3 - 56385*z3^2 + 181440*ln2*z5 + 
    241920*sinf*z5)/40320, H[1, -1, -1, 0, 1, 1, 1] -> 
  (-80640*li6half - 112*ln2^6 + 10080*s6 + 40320*li5half*sinf - 
    336*ln2^5*sinf + 1680*ln2^4*z2 + 3360*ln2^3*sinf*z2 - 19152*ln2^2*z2^2 + 
    5040*ln2*sinf*z2^2 + 13032*z2^3 + 1680*ln2^3*z3 + 2520*ln2^2*sinf*z3 - 
    2520*ln2*z2*z3 - 945*z3^2 - 31500*sinf*z5)/40320, 
 H[1, -1, -1, 0, 1, 0, 1] -> (322560*li6half + 448*ln2^6 + 151200*s6 - 
    161280*li5half*sinf + 1344*ln2^5*sinf - 6720*ln2^4*z2 - 
    13440*ln2^3*sinf*z2 - 37296*ln2^2*z2^2 - 51408*ln2*sinf*z2^2 - 
    34296*z2^3 + 20160*ln2^3*z3 + 30240*ln2^2*sinf*z3 + 7560*ln2*z2*z3 + 
    12600*sinf*z2*z3 - 78435*z3^2 + 129780*sinf*z5)/40320, 
 H[1, -1, -1, 0, 1, -1, 1] -> (40320*li6half + 7680*li5half*ln2 + 
    3840*li4half*ln2^2 + 152*ln2^6 + 19200*s6 + 5760*li5half*sinf + 
    7680*li4half*ln2*sinf + 272*ln2^5*sinf - 3840*li4half*z2 - 360*ln2^4*z2 - 
    3528*ln2^2*z2^2 - 240*ln2*sinf*z2^2 - 3624*z2^3 + 1040*ln2^3*z3 + 
    1560*ln2^2*sinf*z3 - 1200*ln2*z2*z3 - 7125*z3^2 - 10230*ln2*z5 - 
    5940*sinf*z5)/1920, H[1, -1, -1, 0, 0, 1, 1] -> 
  (-40320*li6half + 6720*li4half*ln2^2 + 224*ln2^6 - 26880*s6 + 
    26880*li5half*sinf + 13440*li4half*ln2*sinf + 336*ln2^5*sinf - 
    20160*li4half*z2 - 1680*ln2^4*z2 - 1120*ln2^3*sinf*z2 + 7392*ln2^2*z2^2 + 
    4032*ln2*sinf*z2^2 + 8080*z2^3 + 2240*ln2^3*z3 + 3360*ln2^2*sinf*z3 - 
    9240*ln2*z2*z3 - 5040*sinf*z2*z3 + 19635*z3^2 - 16380*sinf*z5)/6720, 
 H[1, -1, -1, 0, 0, 0, 1] -> (3360*s6 + 6720*li4half*z2 + 280*ln2^4*z2 - 
    3528*ln2^2*z2^2 - 1176*ln2*sinf*z2^2 - 936*z2^3 + 5040*ln2*z2*z3 + 
    1680*sinf*z2*z3 - 3780*z3^2 - 3045*sinf*z5)/3360, 
 H[1, -1, -1, 0, 0, -1, 1] -> (322560*li6half + 80640*li5half*ln2 - 
    40320*li4half*ln2^2 - 1904*ln2^6 + 161280*s6 - 80640*li5half*sinf - 
    80640*li4half*ln2*sinf - 2688*ln2^5*sinf + 10080*ln2^4*z2 + 
    13440*ln2^3*sinf*z2 - 27216*ln2^2*z2^2 - 5040*ln2*sinf*z2^2 - 
    39120*z2^3 - 13440*ln2^3*z3 - 20160*ln2^2*sinf*z3 + 20160*ln2*z2*z3 + 
    2520*sinf*z2*z3 - 62685*z3^2 - 97650*ln2*z5 + 78750*sinf*z5)/40320, 
 H[1, -1, -1, 0, -1, 1, 1] -> (-282240*li6half + 13440*li4half*ln2^2 + 
    168*ln2^6 - 114240*s6 - 13440*li4half*ln2*sinf - 560*ln2^5*sinf - 
    13440*li4half*z2 - 4760*ln2^4*z2 - 6720*ln2^3*sinf*z2 + 
    34440*ln2^2*z2^2 - 336*ln2*sinf*z2^2 + 34248*z2^3 + 7280*ln2^3*z3 + 
    10920*ln2^2*sinf*z3 - 31080*ln2*z2*z3 - 17640*sinf*z2*z3 + 74235*z3^2 + 
    36540*sinf*z5)/13440, H[1, -1, -1, 0, -1, 0, 1] -> 
  (322560*li6half + 448*ln2^6 + 191520*s6 - 161280*li5half*sinf + 
    1344*ln2^5*sinf + 181440*li4half*z2 + 840*ln2^4*z2 - 
    13440*ln2^3*sinf*z2 - 92232*ln2^2*z2^2 - 55440*ln2*sinf*z2^2 - 
    74352*z2^3 + 26880*ln2^3*z3 + 40320*ln2^2*sinf*z3 + 133560*ln2*z2*z3 + 
    57960*sinf*z2*z3 - 164745*z3^2 + 45990*sinf*z5)/40320, 
 H[1, -1, -1, 0, -1, -1, 1] -> (-5760*li5half*ln2 - 2880*li4half*ln2^2 - 
    72*ln2^6 + 3600*s6 - 5760*li5half*sinf - 2880*li4half*ln2*sinf - 
    72*ln2^5*sinf + 1440*li4half*z2 + 300*ln2^4*z2 + 240*ln2^3*sinf*z2 - 
    1548*ln2^2*z2^2 - 1152*ln2*sinf*z2^2 + 192*z2^3 + 40*ln2^3*z3 + 
    60*ln2^2*sinf*z3 - 60*ln2*z2*z3 - 1335*z3^2 + 1395*ln2*z5 + 5760*sinf*z5)/
   960, H[1, -1, -1, -1, 1, 1, 1] -> 
  (120960*li6half + 448*ln2^6 + 120960*s6 - 40320*li5half*sinf + 
    672*ln2^5*sinf - 3360*ln2^4*z2 - 3360*ln2^3*sinf*z2 - 24192*ln2^2*z2^2 - 
    16128*ln2*sinf*z2^2 - 19440*z2^3 + 18480*ln2^3*z3 + 17640*ln2^2*sinf*z3 - 
    57960*ln2*z2*z3 - 20160*sinf*z2*z3 + 7245*z3^2 + 79380*sinf*z5)/40320, 
 H[1, -1, -1, -1, 1, 0, 1] -> (-20160*li6half + 10080*li4half*ln2^2 + 
    392*ln2^6 - 20160*s6 + 26880*li5half*sinf + 20160*li4half*ln2*sinf + 
    616*ln2^5*sinf - 3360*li4half*z2 - 1400*ln2^4*z2 - 2240*ln2^3*sinf*z2 + 
    1176*ln2^2*z2^2 + 2688*ln2*sinf*z2^2 + 4248*z2^3 + 3640*ln2^3*z3 + 
    5460*ln2^2*sinf*z3 + 6720*ln2*z2*z3 + 2940*sinf*z2*z3 + 105*z3^2 - 
    32760*sinf*z5)/6720, H[1, -1, -1, -1, 1, -1, 1] -> 
  (-120960*li6half + 30240*li4half*ln2^2 + 952*ln2^6 - 50400*s6 + 
    80640*li5half*sinf + 60480*li4half*ln2*sinf + 1680*ln2^5*sinf - 
    30240*li4half*z2 - 5880*ln2^4*z2 - 8400*ln2^3*sinf*z2 + 
    19656*ln2^2*z2^2 + 8064*ln2*sinf*z2^2 + 28992*z2^3 + 8400*ln2^3*z3 + 
    17640*ln2^2*sinf*z3 - 7560*ln2*z2*z3 + 18585*z3^2 - 60480*ln2*z5 - 
    80640*sinf*z5)/20160, H[1, -1, -1, -1, 0, 1, 1] -> 
  (161280*li6half - 20160*li4half*ln2^2 - 616*ln2^6 + 40320*s6 - 
    40320*li5half*sinf - 40320*li4half*ln2*sinf - 1344*ln2^5*sinf + 
    60480*li4half*z2 + 9240*ln2^4*z2 + 13440*ln2^3*sinf*z2 - 
    26712*ln2^2*z2^2 + 3024*ln2*sinf*z2^2 - 36648*z2^3 - 20160*ln2^3*z3 - 
    30240*ln2^2*sinf*z3 + 88200*ln2*z2*z3 + 17640*sinf*z2*z3 - 60165*z3^2 + 
    5040*sinf*z5)/40320, H[1, -1, -1, -1, 0, 0, 1] -> 
  (-20160*li6half - 28*ln2^6 - 10080*s6 + 6720*li5half*sinf - 56*ln2^5*sinf - 
    3360*li4half*z2 + 280*ln2^4*z2 + 560*ln2^3*sinf*z2 + 3696*ln2^2*z2^2 + 
    2520*ln2*sinf*z2^2 + 2568*z2^3 - 1120*ln2^3*z3 - 1680*ln2^2*sinf*z3 - 
    3360*ln2*z2*z3 - 1680*sinf*z2*z3 + 7560*z3^2 - 3465*sinf*z5)/3360, 
 H[1, -1, -1, -1, 0, -1, 1] -> (10080*li6half + 10080*li5half*ln2 + 
    1680*li4half*ln2^2 - 6720*s6 + 13440*li5half*sinf + 
    3360*li4half*ln2*sinf + 28*ln2^5*sinf + 420*ln2^4*z2 + 
    560*ln2^3*sinf*z2 + 1512*ln2^2*z2^2 + 4032*ln2*sinf*z2^2 - 3456*z2^3 - 
    2240*ln2^3*z3 - 3360*ln2^2*sinf*z3 + 5040*ln2*z2*z3 + 1680*z3^2 + 
    3255*ln2*z5 - 13440*sinf*z5)/3360, H[1, -1, -1, -1, -1, 1, 1] -> 
  (-2880*li4half*ln2^2 - 160*ln2^6 - 5760*li5half*sinf - 
    5760*li4half*ln2*sinf - 240*ln2^5*sinf + 2880*li4half*z2 + 960*ln2^4*z2 + 
    960*ln2^3*sinf*z2 + 432*ln2^2*z2^2 - 1152*z2^3 - 2640*ln2^3*z3 - 
    2520*ln2^2*sinf*z3 + 2520*ln2*z2*z3 + 45*z3^2 + 5760*sinf*z5)/5760, 
 H[1, -1, -1, -1, -1, 0, 1] -> (840*s6 - 840*li5half*sinf + 7*ln2^5*sinf - 
    105*ln2^4*z2 - 140*ln2^3*sinf*z2 - 42*ln2^2*z2^2 - 336*ln2*sinf*z2^2 + 
    144*z2^3 + 280*ln2^3*z3 + 420*ln2^2*sinf*z3 - 840*ln2*z2*z3 - 210*z3^2 + 
    840*sinf*z5)/840, H[1, -1, -1, -1, -1, -1, 1] -> 
  (840*li6half + 7*ln2^6 + 7*ln2^5*sinf - 35*ln2^4*z2 - 168*ln2^2*z2^2 - 
    192*z2^3 + 140*ln2^3*z3 + 840*ln2*z5)/840, 
 H[0, 1, 1, 1, 1, 1, 1] -> (8*z2^3)/35, H[0, 1, 1, 1, 1, 0, 1] -> 
  (-4*z2^3 + 5*z3^2)/10, H[0, 1, 1, 1, 1, -1, 1] -> 
  (720*li6half + 240*li5half*ln2 - ln2^6 + 120*s6 - 240*li4half*z2 + 
    10*ln2^4*z2 + 54*ln2^2*z2^2 - 96*z2^3 + 60*z3^2)/240, 
 H[0, 1, 1, 1, 0, 1, 1] -> (10*z2^3 - 21*z3^2)/21, 
 H[0, 1, 1, 1, 0, 0, 1] -> (89*z2^3 - 105*z3^2)/210, 
 H[0, 1, 1, 1, 0, -1, 1] -> (240*s6 + 144*li4half*z2 + 6*ln2^4*z2 - 
    36*ln2^2*z2^2 + 28*z2^3 + 126*ln2*z2*z3 - 162*z3^2 - 465*ln2*z5)/96, 
 H[0, 1, 1, 1, -1, 1, 1] -> (-20160*li6half + 1680*li4half*ln2^2 + 42*ln2^6 + 
    840*s6 + 11760*li4half*z2 - 350*ln2^4*z2 - 630*ln2^2*z2^2 + 1152*z2^3 - 
    3255*z3^2)/3360, H[0, 1, 1, 1, -1, 0, 1] -> 
  (40320*li6half + 56*ln2^6 - 7560*s6 - 25200*li4half*z2 - 1890*ln2^4*z2 - 
    378*ln2^2*z2^2 - 72*z2^3 + 2205*z3^2)/10080, 
 H[0, 1, 1, 1, -1, -1, 1] -> (-50400*li6half - 30240*li5half*ln2 - 
    5040*li4half*ln2^2 - 28*ln2^6 - 17640*s6 + 5040*li4half*z2 + 
    1890*ln2^4*z2 + 630*ln2^2*z2^2 + 7416*z2^3 + 15120*ln2*z2*z3 + 
    2205*z3^2 - 9765*ln2*z5)/10080, H[0, 1, 1, 0, 1, 1, 1] -> 
  (-8*z2^3 + 35*z3^2)/70, H[0, 1, 1, 0, 1, 0, 1] -> 
  (-143*z2^3 + 210*z3^2)/210, H[0, 1, 1, 0, 1, -1, 1] -> 
  (-6720*s6 - 3360*li4half*z2 - 140*ln2^4*z2 + 840*ln2^2*z2^2 - 1992*z2^3 - 
    17640*ln2*z2*z3 + 5040*z3^2 + 48825*ln2*z5)/6720, 
 H[0, 1, 1, 0, 0, 1, 1] -> (-13*z2^3 + 70*z3^2)/70, 
 H[0, 1, 1, 0, 0, 0, 1] -> (-2*z2^3 - 105*z3^2)/105, 
 H[0, 1, 1, 0, 0, -1, 1] -> (112*s6 + 336*li4half*z2 + 14*ln2^4*z2 - 
    84*ln2^2*z2^2 - 90*z2^3 + 294*ln2*z2*z3 - 56*z3^2 - 217*ln2*z5)/112, 
 H[0, 1, 1, 0, -1, 1, 1] -> (-36960*s6 - 53760*li4half*z2 - 2240*ln2^4*z2 + 
    13440*ln2^2*z2^2 + 9288*z2^3 - 17640*ln2*z2*z3 + 34335*z3^2)/13440, 
 H[0, 1, 1, 0, -1, 0, 1] -> (-142*z2^3 - 2625*z3^2)/3360, 
 H[0, 1, 1, 0, -1, -1, 1] -> (-3360*s6 - 824*z2^3 + 1785*z3^2 + 6510*ln2*z5)/
   4480, H[0, 1, 1, -1, 1, 1, 1] -> 
  (11520*li6half + 16*ln2^6 - 6912*li4half*z2 - 96*ln2^4*z2 + 
    144*ln2^2*z2^2 + 168*ln2^3*z3 - 504*ln2*z2*z3 + 441*z3^2)/1152, 
 H[0, 1, 1, -1, 1, 0, 1] -> (-40320*li6half - 56*ln2^6 - 10920*s6 + 
    10080*li4half*z2 + 1260*ln2^4*z2 + 1638*ln2^2*z2^2 + 636*z2^3 + 
    1470*ln2*z2*z3 + 9765*z3^2)/3360, H[0, 1, 1, -1, 1, -1, 1] -> 
  (-2880*li6half + 8640*li5half*ln2 - 76*ln2^6 - 4320*s6 - 4320*li4half*z2 - 
    660*ln2^4*z2 + 3744*ln2^2*z2^2 + 216*z2^3 - 420*ln2^3*z3 - 
    11160*ln2*z2*z3 + 5085*z3^2 + 12555*ln2*z5)/2880, 
 H[0, 1, 1, -1, 0, 1, 1] -> (70560*s6 + 94080*li4half*z2 + 3920*ln2^4*z2 - 
    21000*ln2^2*z2^2 - 19888*z2^3 + 11760*ln2*z2*z3 - 34335*z3^2)/13440, 
 H[0, 1, 1, -1, 0, 0, 1] -> (-16800*s6 - 13440*li4half*z2 - 560*ln2^4*z2 + 
    10920*ln2^2*z2^2 + 4544*z2^3 + 105*z3^2)/6720, 
 H[0, 1, 1, -1, 0, -1, 1] -> (-161280*li6half - 53760*li5half*ln2 + 
    224*ln2^6 - 60480*s6 + 36960*li4half*z2 + 420*ln2^4*z2 + 
    2184*ln2^2*z2^2 + 12692*z2^3 + 29400*ln2*z2*z3 + 12285*z3^2 + 
    16275*ln2*z5)/6720, H[0, 1, 1, -1, -1, 1, 1] -> 
  (11520*li6half - 2160*li4half*ln2^2 - 74*ln2^6 + 7920*s6 + 
    2160*li4half*z2 + 210*ln2^4*z2 - 1800*ln2^2*z2^2 - 1872*z2^3 - 
    210*ln2^3*z3 - 270*ln2*z2*z3 - 2655*z3^2)/1440, 
 H[0, 1, 1, -1, -1, 0, 1] -> (322560*li6half + 448*ln2^6 + 50400*s6 - 
    141120*li4half*z2 - 12600*ln2^4*z2 - 10584*ln2^2*z2^2 - 5616*z2^3 - 
    17640*ln2*z2*z3 - 22995*z3^2)/40320, H[0, 1, 1, -1, -1, -1, 1] -> 
  (-120960*li6half - 13440*li5half*ln2 + 20160*li4half*ln2^2 + 784*ln2^6 - 
    60480*s6 + 13440*li4half*z2 - 560*ln2^4*z2 + 8064*ln2^2*z2^2 + 
    11664*z2^3 + 1960*ln2^3*z3 + 20160*ln2*z2*z3 + 16065*z3^2 - 6510*ln2*z5)/
   13440, H[0, 1, 0, 1, 1, 1, 1] -> (-32*z2^3 + 105*z3^2)/105, 
 H[0, 1, 0, 1, 1, 0, 1] -> (37*z2^3 - 126*z3^2)/42, 
 H[0, 1, 0, 1, 1, -1, 1] -> (-80640*li6half - 26880*li5half*ln2 + 112*ln2^6 - 
    28560*s6 + 16800*li4half*z2 + 140*ln2^4*z2 + 2772*ln2^2*z2^2 + 
    9104*z2^3 + 28980*ln2*z2*z3 + 1050*z3^2 - 29295*ln2*z5)/6720, 
 H[0, 1, 0, 1, 0, 1, 1] -> (3*z2^3)/70, H[0, 1, 0, 1, 0, 0, 1] -> 
  (2*(z2^3 + 35*z3^2))/35, H[0, 1, 0, 1, 0, -1, 1] -> 
  (-320*s6 - 480*li4half*z2 - 20*ln2^4*z2 + 120*ln2^2*z2^2 + 77*z2^3 - 
    420*ln2*z2*z3 + 260*z3^2 + 620*ln2*z5)/80, 
 H[0, 1, 0, 1, -1, 1, 1] -> (80640*li6half - 13440*li4half*ln2^2 - 
    448*ln2^6 + 38640*s6 - 13440*li4half*z2 + 1120*ln2^4*z2 - 
    10584*ln2^2*z2^2 - 6292*z2^3 - 2520*ln2*z2*z3 - 13125*z3^2)/6720, 
 H[0, 1, 0, 1, -1, 0, 1] -> (480*li4half*z2 + 20*ln2^4*z2 - 120*ln2^2*z2^2 - 
    139*z2^3 + 195*z3^2)/240, H[0, 1, 0, 1, -1, -1, 1] -> 
  (26880*li5half*ln2 + 13440*li4half*ln2^2 + 336*ln2^6 - 16800*s6 - 
    26880*li4half*z2 - 2240*ln2^4*z2 + 13692*ln2^2*z2^2 + 4360*z2^3 - 
    26460*ln2*z2*z3 + 15225*z3^2 + 6510*ln2*z5)/6720, 
 H[0, 1, 0, 0, 1, 1, 1] -> (106*z2^3 - 315*z3^2)/210, 
 H[0, 1, 0, 0, 1, 0, 1] -> (-2*(3*z2^3 - 5*z3^2))/5, 
 H[0, 1, 0, 0, 1, -1, 1] -> (672*s6 - 122*z2^3 - 1260*ln2*z2*z3 + 168*z3^2 + 
    1953*ln2*z5)/672, H[0, 1, 0, 0, 0, 1, 1] -> (10*z2^3 - 21*z3^2)/21, 
 H[0, 1, 0, 0, 0, 0, 1] -> (8*z2^3)/7, H[0, 1, 0, 0, 0, -1, 1] -> 
  (3360*s6 + 1037*z2^3 - 1890*z3^2 - 6510*ln2*z5)/840, 
 H[0, 1, 0, 0, -1, 1, 1] -> (-16800*s6 + 88*z2^3 + 12600*ln2*z2*z3 - 
    525*z3^2)/6720, H[0, 1, 0, 0, -1, 0, 1] -> (-3*(106*z2^3 - 35*z3^2))/560, 
 H[0, 1, 0, 0, -1, -1, 1] -> (16800*s6 + 20160*li4half*z2 + 840*ln2^4*z2 - 
    5040*ln2^2*z2^2 - 2176*z2^3 + 17640*ln2*z2*z3 - 12705*z3^2 - 
    32550*ln2*z5)/6720, H[0, 1, 0, -1, 1, 1, 1] -> 
  (-20160*li6half - 28*ln2^6 + 3780*s6 + 30240*li4half*z2 + 1680*ln2^4*z2 - 
    2331*ln2^2*z2^2 - 3774*z2^3 - 2940*ln2^3*z3 + 8820*ln2*z2*z3 - 7560*z3^2)/
   5040, H[0, 1, 0, -1, 1, 0, 1] -> 
  (-1680*li4half*z2 - 70*ln2^4*z2 + 420*ln2^2*z2^2 + 479*z2^3 - 
    735*ln2*z2*z3 - 210*z3^2)/420, H[0, 1, 0, -1, 1, -1, 1] -> 
  (322560*li6half + 80640*li5half*ln2 - 224*ln2^6 + 181440*s6 + 
    40320*li4half*z2 + 1680*ln2^4*z2 - 51912*ln2^2*z2^2 - 45888*z2^3 + 
    11760*ln2^3*z3 + 63000*ln2*z2*z3 - 91980*z3^2 - 126945*ln2*z5)/20160, 
 H[0, 1, 0, -1, 0, 1, 1] -> (-13440*li4half*z2 - 560*ln2^4*z2 + 
    3360*ln2^2*z2^2 + 4128*z2^3 - 11760*ln2*z2*z3 + 3675*z3^2)/3360, 
 H[0, 1, 0, -1, 0, 0, 1] -> (328*z2^3 + 105*z3^2)/560, 
 H[0, 1, 0, -1, 0, -1, 1] -> (-13440*li4half*z2 - 560*ln2^4*z2 + 
    3360*ln2^2*z2^2 + 4092*z2^3 - 11760*ln2*z2*z3 + 3675*z3^2)/1680, 
 H[0, 1, 0, -1, -1, 1, 1] -> (-322560*li6half + 80640*li4half*ln2^2 + 
    2912*ln2^6 - 151200*s6 - 13440*ln2^4*z2 + 41832*ln2^2*z2^2 + 41856*z2^3 + 
    23520*ln2^3*z3 - 37800*ln2*z2*z3 + 68355*z3^2)/40320, 
 H[0, 1, 0, -1, -1, 0, 1] -> (480*li4half*z2 + 20*ln2^4*z2 - 120*ln2^2*z2^2 - 
    134*z2^3 + 420*ln2*z2*z3 - 195*z3^2)/240, H[0, 1, 0, -1, -1, -1, 1] -> 
  (-161280*li6half - 161280*li5half*ln2 - 80640*li4half*ln2^2 - 2240*ln2^6 - 
    40320*s6 - 60480*li4half*z2 + 7560*ln2^4*z2 + 15120*ln2^2*z2^2 + 
    45768*z2^3 - 23520*ln2^3*z3 - 52920*ln2*z2*z3 + 34335*z3^2 + 
    78120*ln2*z5)/40320, H[0, 1, -1, 1, 1, 1, 1] -> 
  (-30240*li6half - 42*ln2^6 - 840*s6 + 13440*li4half*z2 + 350*ln2^4*z2 - 
    714*ln2^2*z2^2 + 192*z2^3 + 3255*z3^2)/3360, 
 H[0, 1, -1, 1, 1, 0, 1] -> (40320*li6half + 56*ln2^6 + 10920*s6 - 
    3360*li4half*z2 - 980*ln2^4*z2 - 798*ln2^2*z2^2 - 2064*z2^3 + 
    630*ln2*z2*z3 - 13125*z3^2)/3360, H[0, 1, -1, 1, 1, -1, 1] -> 
  (40320*li6half - 6720*li5half*ln2 + 112*ln2^6 + 28560*s6 + 
    10080*li4half*z2 + 280*ln2^4*z2 - 7644*ln2^2*z2^2 - 3984*z2^3 + 
    26460*ln2*z2*z3 - 19530*z3^2 - 48825*ln2*z5)/6720, 
 H[0, 1, -1, 1, 0, 1, 1] -> (-4200*s6 - 5880*li4half*z2 - 245*ln2^4*z2 + 
    1155*ln2^2*z2^2 + 1304*z2^3 - 315*ln2*z2*z3 + 1680*z3^2)/840, 
 H[0, 1, -1, 1, 0, 0, 1] -> (4200*s6 - 1890*ln2^2*z2^2 + 124*z2^3 - 
    945*ln2*z2*z3 - 420*z3^2)/840, H[0, 1, -1, 1, 0, -1, 1] -> 
  (80640*li6half + 26880*li5half*ln2 - 112*ln2^6 + 35280*s6 - 
    9240*li4half*z2 + 175*ln2^4*z2 - 3402*ln2^2*z2^2 - 8287*z2^3 - 
    8190*ln2*z2*z3 - 10500*z3^2 - 13020*ln2*z5)/1680, 
 H[0, 1, -1, 1, -1, 1, 1] -> (20160*li6half + 10080*li4half*ln2^2 + 
    448*ln2^6 - 5040*s6 - 10080*li4half*z2 - 1008*ln2^2*z2^2 - 948*z2^3 + 
    5040*ln2*z2*z3 - 315*z3^2)/6720, H[0, 1, -1, 1, -1, 0, 1] -> 
  (-80640*li6half - 112*ln2^6 - 20160*s6 + 7560*li4half*z2 + 1995*ln2^4*z2 + 
    3906*ln2^2*z2^2 + 9081*z2^3 - 7560*ln2*z2*z3 + 12285*z3^2)/5040, 
 H[0, 1, -1, 1, -1, -1, 1] -> (161280*li6half + 60480*li5half*ln2 - 
    30240*li4half*ln2^2 - 1540*ln2^6 + 75600*s6 - 60480*li4half*z2 - 
    2100*ln2^4*z2 + 8064*ln2^2*z2^2 - 6732*z2^3 - 86940*ln2*z2*z3 + 
    315*z3^2 + 29295*ln2*z5)/20160, H[0, 1, -1, 0, 1, 1, 1] -> 
  (-1176*s6 - 1344*li4half*z2 - 56*ln2^4*z2 + 336*ln2^2*z2^2 + 414*z2^3 + 
    63*ln2*z2*z3 - 21*z3^2)/336, H[0, 1, -1, 0, 1, 0, 1] -> 
  (1680*li4half*z2 + 70*ln2^4*z2 - 420*ln2^2*z2^2 - 878*z2^3 + 
    945*ln2*z2*z3 + 1050*z3^2)/420, H[0, 1, -1, 0, 1, -1, 1] -> 
  (-322560*li6half - 107520*li5half*ln2 + 448*ln2^6 - 174720*s6 + 
    13440*li4half*z2 - 1680*ln2^4*z2 + 22008*ln2^2*z2^2 + 31008*z2^3 - 
    10080*ln2*z2*z3 + 68880*z3^2 + 152985*ln2*z5)/6720, 
 H[0, 1, -1, 0, 0, 1, 1] -> (4200*s6 + 3360*li4half*z2 + 140*ln2^4*z2 - 
    840*ln2^2*z2^2 - 477*z2^3 - 945*ln2*z2*z3 - 1680*z3^2)/840, 
 H[0, 1, -1, 0, 0, 0, 1] -> (-48*s6 + 4*z2^3 + 9*z3^2)/12, 
 H[0, 1, -1, 0, 0, -1, 1] -> (10080*s6 + 3360*li4half*z2 + 140*ln2^4*z2 - 
    840*ln2^2*z2^2 + 1086*z2^3 + 1890*ln2*z2*z3 - 5040*z3^2 - 16275*ln2*z5)/
   1680, H[0, 1, -1, 0, -1, 1, 1] -> 
  (40320*li6half - 6720*li4half*ln2^2 - 224*ln2^6 + 19320*s6 - 
    6720*li4half*z2 + 560*ln2^4*z2 - 4662*ln2^2*z2^2 - 3012*z2^3 - 
    2520*ln2*z2*z3 - 6405*z3^2)/1680, H[0, 1, -1, 0, -1, 0, 1] -> 
  (-240*s6 - 22*z2^3 + 180*ln2*z2*z3 + 45*z3^2)/60, 
 H[0, 1, -1, 0, -1, -1, 1] -> (161280*li6half + 107520*li5half*ln2 + 
    26880*li4half*ln2^2 + 448*ln2^6 + 84000*s6 + 16800*li4half*z2 - 
    420*ln2^4*z2 - 4200*ln2^2*z2^2 - 22620*z2^3 + 27720*ln2*z2*z3 - 
    40740*z3^2 - 133455*ln2*z5)/6720, H[0, 1, -1, -1, 1, 1, 1] -> 
  (-40320*li6half - 56*ln2^6 - 23520*s6 + 280*ln2^4*z2 + 5208*ln2^2*z2^2 + 
    5680*z2^3 - 1960*ln2^3*z3 + 5040*ln2*z2*z3 + 3675*z3^2)/4480, 
 H[0, 1, -1, -1, 1, 0, 1] -> (48*li4half*z2 + 2*ln2^4*z2 - 3*ln2^2*z2^2 - 
    21*z2^3 + 27*ln2*z2*z3 + 12*z3^2)/24, H[0, 1, -1, -1, 1, -1, 1] -> 
  (-6720*li5half*ln2 + 56*ln2^6 - 3920*s6 + 6720*li4half*z2 + 140*ln2^4*z2 - 
    3276*ln2^2*z2^2 - 2700*z2^3 + 980*ln2^3*z3 + 5880*ln2*z2*z3 - 735*z3^2 + 
    13020*ln2*z5)/2240, H[0, 1, -1, -1, 0, 1, 1] -> 
  (43680*s6 + 2520*ln2^2*z2^2 + 4768*z2^3 - 47880*ln2*z2*z3 - 1155*z3^2)/
   13440, H[0, 1, -1, -1, 0, 0, 1] -> 
  (-10080*s6 - 13440*li4half*z2 - 560*ln2^4*z2 + 10920*ln2^2*z2^2 + 
    5392*z2^3 - 10080*ln2*z2*z3 - 315*z3^2)/6720, 
 H[0, 1, -1, -1, 0, -1, 1] -> (-161280*li6half - 53760*li5half*ln2 + 
    224*ln2^6 - 53760*s6 - 30240*li4half*z2 - 2380*ln2^4*z2 + 
    18984*ln2^2*z2^2 + 33532*z2^3 - 37800*ln2*z2*z3 + 32025*z3^2 + 
    16275*ln2*z5)/6720, H[0, 1, -1, -1, -1, 1, 1] -> 
  (20160*li6half - 3360*li4half*ln2^2 - 112*ln2^6 + 20160*s6 - 
    10080*li4half*z2 - 840*ln2^4*z2 - 1596*ln2^2*z2^2 + 1380*z2^3 + 
    2940*ln2^3*z3 - 17640*ln2*z2*z3 - 945*z3^2)/6720, 
 H[0, 1, -1, -1, -1, 0, 1] -> (161280*li6half + 224*ln2^6 - 20160*s6 + 
    20160*li4half*z2 - 2520*ln2^4*z2 - 24192*ln2^2*z2^2 - 30888*z2^3 + 
    113400*ln2*z2*z3 - 45675*z3^2)/40320, H[0, 1, -1, -1, -1, -1, 1] -> 
  (-80640*li6half + 40320*li5half*ln2 + 20160*li4half*ln2^2 + 392*ln2^6 + 
    20160*s6 - 20160*li4half*z2 + 1680*ln2^4*z2 + 30744*ln2^2*z2^2 + 
    29952*z2^3 - 17640*ln2^3*z3 - 5355*z3^2 - 195300*ln2*z5)/40320, 
 H[0, 0, 1, 1, 1, 1, 1] -> (12*z2^3 - 35*z3^2)/70, 
 H[0, 0, 1, 1, 1, 0, 1] -> (-22*z2^3 + 63*z3^2)/42, 
 H[0, 0, 1, 1, 1, -1, 1] -> (40320*li6half + 20160*li5half*ln2 - 112*ln2^6 + 
    17640*s6 - 5040*li4half*z2 + 630*ln2^4*z2 - 630*ln2^2*z2^2 - 6768*z2^3 - 
    15120*ln2*z2*z3 + 2835*z3^2 + 9765*ln2*z5)/10080, 
 H[0, 0, 1, 1, 0, 1, 1] -> (106*z2^3 - 315*z3^2)/210, 
 H[0, 0, 1, 1, 0, 0, 1] -> z3^2/2, H[0, 0, 1, 1, 0, -1, 1] -> 
  (6720*s6 + 2308*z2^3 - 4935*z3^2 - 13020*ln2*z5)/6720, 
 H[0, 0, 1, 1, -1, 1, 1] -> (13440*li4half*ln2^2 + 560*ln2^6 - 33600*s6 - 
    26880*li4half*z2 - 4480*ln2^4*z2 + 11088*ln2^2*z2^2 + 10320*z2^3 + 
    2520*ln2*z2*z3 - 6405*z3^2)/13440, H[0, 0, 1, 1, -1, 0, 1] -> 
  (8400*s6 + 3360*li4half*z2 + 140*ln2^4*z2 - 4620*ln2^2*z2^2 - 1228*z2^3 - 
    105*z3^2)/3360, H[0, 0, 1, 1, -1, -1, 1] -> 
  (322560*li6half + 80640*li5half*ln2 - 40320*li4half*ln2^2 - 1904*ln2^6 + 
    221760*s6 + 40320*li4half*z2 + 11760*ln2^4*z2 - 42336*ln2^2*z2^2 - 
    44640*z2^3 - 79065*z3^2 - 97650*ln2*z5)/40320, 
 H[0, 0, 1, 0, 1, 1, 1] -> (-29*z2^3 + 90*z3^2)/30, 
 H[0, 0, 1, 0, 1, 0, 1] -> (4*(2*z2^3 - 7*z3^2))/7, 
 H[0, 0, 1, 0, 1, -1, 1] -> (3360*s6 + 6720*li4half*z2 + 280*ln2^4*z2 - 
    1680*ln2^2*z2^2 - 34*z2^3 + 15120*ln2*z2*z3 - 7665*z3^2 - 22785*ln2*z5)/
   3360, H[0, 0, 1, 0, 0, 1, 1] -> (-8*z2^3 + 35*z3^2)/70, 
 H[0, 0, 1, 0, 0, 0, 1] -> (-16*z2^3)/7, H[0, 0, 1, 0, 0, -1, 1] -> 
  (-6720*s6 - 1756*z2^3 + 3675*z3^2 + 13020*ln2*z5)/1120, 
 H[0, 0, 1, 0, -1, 1, 1] -> (8400*s6 + 13440*li4half*z2 + 560*ln2^4*z2 - 
    3360*ln2^2*z2^2 - 4024*z2^3 + 2520*ln2*z2*z3 - 735*z3^2)/3360, 
 H[0, 0, 1, 0, -1, 0, 1] -> (-z2^3 - 21*z3^2)/56, 
 H[0, 0, 1, 0, -1, -1, 1] -> (-16800*s6 - 4132*z2^3 + 8085*z3^2 + 
    32550*ln2*z5)/6720, H[0, 0, 1, -1, 1, 1, 1] -> 
  (-80640*li6half - 112*ln2^6 + 45360*s6 + 60480*li4half*z2 + 4200*ln2^4*z2 - 
    16884*ln2^2*z2^2 - 14328*z2^3 + 5880*ln2^3*z3 - 17640*ln2*z2*z3 + 
    34965*z3^2)/20160, H[0, 0, 1, -1, 1, 0, 1] -> 
  (-840*s6 + 378*ln2^2*z2^2 + 55*z2^3 + 147*ln2*z2*z3 - 84*z3^2)/168, 
 H[0, 0, 1, -1, 1, -1, 1] -> (-13440*li5half*ln2 + 112*ln2^6 - 
    1120*ln2^4*z2 + 1848*ln2^2*z2^2 + 2664*z2^3 - 1960*ln2^3*z3 + 
    15960*ln2*z2*z3 - 6300*z3^2 - 29295*ln2*z5)/6720, 
 H[0, 0, 1, -1, 0, 1, 1] -> (-33600*s6 - 26880*li4half*z2 - 1120*ln2^4*z2 + 
    6720*ln2^2*z2^2 + 6712*z2^3 + 11760*ln2*z2*z3 + 1365*z3^2)/6720, 
 H[0, 0, 1, -1, 0, 0, 1] -> (3*(2240*s6 - 296*z2^3 - 455*z3^2))/1120, 
 H[0, 0, 1, -1, 0, -1, 1] -> (-13440*s6 + 6720*li4half*z2 + 280*ln2^4*z2 - 
    1680*ln2^2*z2^2 - 5648*z2^3 + 2940*ln2*z2*z3 + 5145*z3^2 + 32550*ln2*z5)/
   3360, H[0, 0, 1, -1, -1, 1, 1] -> 
  (-46080*li6half + 5760*li4half*ln2^2 + 176*ln2^6 - 31680*s6 + 
    5760*li4half*z2 - 240*ln2^4*z2 + 4824*ln2^2*z2^2 + 3672*z2^3 - 
    1680*ln2^3*z3 + 14040*ln2*z2*z3 + 4905*z3^2)/5760, 
 H[0, 0, 1, -1, -1, 0, 1] -> (23520*s6 + 6720*li4half*z2 + 280*ln2^4*z2 - 
    9240*ln2^2*z2^2 - 2284*z2^3 - 5880*ln2*z2*z3 + 525*z3^2)/6720, 
 H[0, 0, 1, -1, -1, -1, 1] -> (-26880*li5half*ln2 - 13440*li4half*ln2^2 - 
    336*ln2^6 - 20160*s6 + 20160*li4half*z2 + 1960*ln2^4*z2 - 
    13272*ln2^2*z2^2 - 13392*z2^3 + 3920*ln2^3*z3 + 10605*z3^2 + 
    104160*ln2*z5)/13440, H[0, 0, 0, 1, 1, 1, 1] -> (23*z2^3 - 70*z3^2)/70, 
 H[0, 0, 0, 1, 1, 0, 1] -> (-8*z2^3 + 21*z3^2)/21, 
 H[0, 0, 0, 1, 1, -1, 1] -> (-10080*s6 - 6720*li4half*z2 - 280*ln2^4*z2 + 
    4200*ln2^2*z2^2 + 72*z2^3 - 10080*ln2*z2*z3 + 6825*z3^2 + 19530*ln2*z5)/
   6720, H[0, 0, 0, 1, 0, 1, 1] -> (-32*z2^3 + 105*z3^2)/105, 
 H[0, 0, 0, 1, 0, 0, 1] -> (16*z2^3)/7, H[0, 0, 0, 1, 0, -1, 1] -> 
  (6720*s6 + 1766*z2^3 - 3465*z3^2 - 13020*ln2*z5)/1680, 
 H[0, 0, 0, 1, -1, 1, 1] -> (5600*s6 - 1680*ln2^2*z2^2 - 96*z2^3 - 
    2520*ln2*z2*z3 + 385*z3^2)/2240, H[0, 0, 0, 1, -1, 0, 1] -> 
  (-6720*s6 + 898*z2^3 + 1575*z3^2)/1680, H[0, 0, 0, 1, -1, -1, 1] -> 
  (3360*s6 - 3360*li4half*z2 - 140*ln2^4*z2 + 2100*ln2^2*z2^2 + 2952*z2^3 - 
    3150*z3^2 - 16275*ln2*z5)/3360, H[0, 0, 0, 0, 1, 1, 1] -> 
  (12*z2^3 - 35*z3^2)/70, H[0, 0, 0, 0, 1, 0, 1] -> (-8*z2^3)/7, 
 H[0, 0, 0, 0, 1, -1, 1] -> (-444*z2^3 + 315*z3^2 + 2170*ln2*z5)/1120, 
 H[0, 0, 0, 0, 0, 1, 1] -> (8*z2^3)/35, H[0, 0, 0, 0, 0, 0, 1] -> 0, 
 H[0, 0, 0, 0, 0, -1, 1] -> (31*z2^3)/140, H[0, 0, 0, 0, -1, 1, 1] -> 
  (-35*s6 + 8*z2^3)/35, H[0, 0, 0, 0, -1, 0, 1] -> (-31*z2^3)/28, 
 H[0, 0, 0, 0, -1, -1, 1] -> (-560*s6 - 184*z2^3 + 420*z3^2 + 1085*ln2*z5)/
   560, H[0, 0, 0, -1, 1, 1, 1] -> 
  (-2100*s6 - 1680*li4half*z2 - 70*ln2^4*z2 + 735*ln2^2*z2^2 + 648*z2^3 - 
    210*z3^2)/840, H[0, 0, 0, -1, 1, 0, 1] -> (240*s6 - 41*z2^3 - 45*z3^2)/
   60, H[0, 0, 0, -1, 1, -1, 1] -> 
  (-840*ln2^2*z2^2 - 514*z2^3 - 1260*ln2*z2*z3 + 840*z3^2 + 5425*ln2*z5)/
   1120, H[0, 0, 0, -1, 0, 1, 1] -> (-97*z2^3 + 315*z3^2)/420, 
 H[0, 0, 0, -1, 0, 0, 1] -> (31*z2^3)/14, H[0, 0, 0, -1, 0, -1, 1] -> 
  (3360*s6 + 929*z2^3 - 1890*z3^2 - 6510*ln2*z5)/840, 
 H[0, 0, 0, -1, -1, 1, 1] -> (-840*s6 - 1680*li4half*z2 - 70*ln2^4*z2 + 
    735*ln2^2*z2^2 + 381*z2^3 - 1260*ln2*z2*z3 + 945*z3^2)/840, 
 H[0, 0, 0, -1, -1, 0, 1] -> (5*z2^3 - 18*z3^2)/24, 
 H[0, 0, 0, -1, -1, -1, 1] -> (1680*s6 + 472*z2^3 - 980*z3^2 - 3255*ln2*z5)/
   1120, H[0, 0, -1, 1, 1, 1, 1] -> 
  (5040*li6half + 7*ln2^6 - 5040*s6 - 7560*li4half*z2 - 420*ln2^4*z2 + 
    1764*ln2^2*z2^2 + 1926*z2^3 - 1260*z3^2)/2520, 
 H[0, 0, -1, 1, 1, 0, 1] -> (3360*s6 - 1512*ln2^2*z2^2 - 640*z2^3 + 987*z3^2)/
   1344, H[0, 0, -1, 1, 1, -1, 1] -> 
  (-20160*li6half - 6720*li5half*ln2 + 28*ln2^6 - 14280*s6 - 
    3360*li4half*z2 - 280*ln2^4*z2 + 1638*ln2^2*z2^2 + 1866*z2^3 - 
    8190*ln2*z2*z3 + 8085*z3^2 + 26040*ln2*z5)/3360, 
 H[0, 0, -1, 1, 0, 1, 1] -> (2400*s6 + 2880*li4half*z2 + 120*ln2^4*z2 - 
    720*ln2^2*z2^2 - 652*z2^3 - 705*z3^2)/480, 
 H[0, 0, -1, 1, 0, 0, 1] -> (-3*(2240*s6 - 296*z2^3 - 735*z3^2))/1120, 
 H[0, 0, -1, 1, 0, -1, 1] -> (13440*s6 - 3360*li4half*z2 - 140*ln2^4*z2 + 
    840*ln2^2*z2^2 + 5254*z2^3 - 7875*z3^2 - 32550*ln2*z5)/3360, 
 H[0, 0, -1, 1, -1, 1, 1] -> (-10080*li6half - 5040*li4half*ln2^2 - 
    224*ln2^6 + 11340*s6 + 5040*li4half*z2 + 1680*ln2^4*z2 - 
    2646*ln2^2*z2^2 + 603*z2^3 - 7560*ln2*z2*z3 + 945*z3^2)/5040, 
 H[0, 0, -1, 1, -1, 0, 1] -> (-1200*s6 - 240*li4half*z2 - 10*ln2^4*z2 + 
    600*ln2^2*z2^2 + 77*z2^3 + 180*z3^2)/240, H[0, 0, -1, 1, -1, -1, 1] -> 
  (-40320*li6half - 13440*li5half*ln2 + 6720*li4half*ln2^2 + 336*ln2^6 - 
    11760*s6 - 10080*li4half*z2 - 2380*ln2^4*z2 + 7560*ln2^2*z2^2 + 
    13092*z2^3 - 1785*z3^2 - 29295*ln2*z5)/6720, 
 H[0, 0, -1, 0, 1, 1, 1] -> (-3224*z2^3 + 9975*z3^2)/6720, 
 H[0, 0, -1, 0, 1, 0, 1] -> (52*z2^3 - 189*z3^2)/112, 
 H[0, 0, -1, 0, 1, -1, 1] -> (3360*s6 + 6720*li4half*z2 + 280*ln2^4*z2 - 
    1680*ln2^2*z2^2 - 1706*z2^3 + 11340*ln2*z2*z3 - 2205*z3^2 - 16275*ln2*z5)/
   3360, H[0, 0, -1, 0, 0, 1, 1] -> (128*z2^3 - 315*z3^2)/1120, 
 H[0, 0, -1, 0, 0, 0, 1] -> (-31*z2^3)/14, H[0, 0, -1, 0, 0, -1, 1] -> 
  (-6720*s6 - 1508*z2^3 + 2835*z3^2 + 13020*ln2*z5)/1120, 
 H[0, 0, -1, 0, -1, 1, 1] -> (10080*s6 + 26880*li4half*z2 + 1120*ln2^4*z2 - 
    6720*ln2^2*z2^2 - 5392*z2^3 + 12600*ln2*z2*z3 - 12285*z3^2)/6720, 
 H[0, 0, -1, 0, -1, 0, 1] -> (-10*z2^3 + 27*z3^2)/16, 
 H[0, 0, -1, 0, -1, -1, 1] -> (-672*s6 - 208*z2^3 + 453*z3^2 + 1302*ln2*z5)/
   192, H[0, 0, -1, -1, 1, 1, 1] -> (20160*li6half + 28*ln2^6 + 5040*s6 - 
    6720*li4half*z2 - 700*ln2^4*z2 - 84*ln2^2*z2^2 - 1248*z2^3 + 
    980*ln2^3*z3 - 2940*ln2*z2*z3 + 105*z3^2)/3360, 
 H[0, 0, -1, -1, 1, 0, 1] -> (10080*s6 - 7560*ln2^2*z2^2 - 352*z2^3 + 
    5880*ln2*z2*z3 - 4725*z3^2)/6720, H[0, 0, -1, -1, 1, -1, 1] -> 
  (-40320*li6half + 40320*li5half*ln2 - 392*ln2^6 - 5040*s6 + 
    10080*li4half*z2 + 4620*ln2^4*z2 + 4284*ln2^2*z2^2 - 2952*z2^3 - 
    5880*ln2^3*z3 + 13860*ln2*z2*z3 + 18585*z3^2 - 48825*ln2*z5)/20160, 
 H[0, 0, -1, -1, 0, 1, 1] -> (1344*li4half*z2 + 56*ln2^4*z2 - 
    336*ln2^2*z2^2 - 340*z2^3 + 1176*ln2*z2*z3 - 567*z3^2)/672, 
 H[0, 0, -1, -1, 0, 0, 1] -> (9*z3^2)/32, H[0, 0, -1, -1, 0, -1, 1] -> 
  (-3360*s6 + 3360*li4half*z2 + 140*ln2^4*z2 - 840*ln2^2*z2^2 - 556*z2^3 + 
    2940*ln2*z2*z3 - 3255*z3^2 + 6510*ln2*z5)/3360, 
 H[0, 0, -1, -1, -1, 1, 1] -> (20160*li6half - 3360*li4half*ln2^2 - 
    112*ln2^6 + 10080*s6 + 6720*li4half*z2 + 700*ln2^4*z2 - 3276*ln2^2*z2^2 - 
    3828*z2^3 - 980*ln2^3*z3 + 5040*ln2*z2*z3 - 7245*z3^2)/3360, 
 H[0, 0, -1, -1, -1, 0, 1] -> (-6720*li4half*z2 - 280*ln2^4*z2 + 
    1680*ln2^2*z2^2 - 104*z2^3 - 5880*ln2*z2*z3 + 8295*z3^2)/6720, 
 H[0, 0, -1, -1, -1, -1, 1] -> (20160*li6half + 20160*li5half*ln2 + 
    10080*li4half*ln2^2 + 280*ln2^6 - 5040*s6 - 1260*ln2^4*z2 - 5472*z2^3 + 
    2940*ln2^3*z3 + 1260*z3^2 + 9765*ln2*z5)/10080, 
 H[0, -1, 1, 1, 1, 1, 1] -> (720*li6half + ln2^6 - 120*s6 - 240*li4half*z2 - 
    10*ln2^4*z2 + 42*ln2^2*z2^2 - 60*z3^2)/240, 
 H[0, -1, 1, 1, 1, 0, 1] -> (-40320*li6half - 56*ln2^6 + 7560*s6 - 
    5040*li4half*z2 + 630*ln2^4*z2 + 378*ln2^2*z2^2 + 3600*z2^3 - 
    15120*ln2*z2*z3 + 14175*z3^2)/10080, H[0, -1, 1, 1, 1, -1, 1] -> 
  (-26880*li6half - 4480*li5half*ln2 - 11200*s6 - 4480*li4half*z2 - 
    560*ln2^4*z2 + 1568*ln2^2*z2^2 + 3424*z2^3 - 11760*ln2*z2*z3 + 
    9345*z3^2 + 21700*ln2*z5)/4480, H[0, -1, 1, 1, 0, 1, 1] -> 
  (-672*s6 + 14784*li4half*z2 + 616*ln2^4*z2 - 3192*ln2^2*z2^2 - 3392*z2^3 + 
    11592*ln2*z2*z3 - 6027*z3^2)/2688, H[0, -1, 1, 1, 0, 0, 1] -> 
  (-1680*s6 - 672*li4half*z2 - 28*ln2^4*z2 + 924*ln2^2*z2^2 + 212*z2^3 - 
    1008*ln2*z2*z3 + 1113*z3^2)/672, H[0, -1, 1, 1, 0, -1, 1] -> 
  (-322560*li6half - 107520*li5half*ln2 + 448*ln2^6 - 141120*s6 + 
    6720*li4half*z2 - 1960*ln2^4*z2 + 21168*ln2^2*z2^2 + 45016*z2^3 + 
    12600*ln2*z2*z3 + 46095*z3^2 + 32550*ln2*z5)/13440, 
 H[0, -1, 1, 1, -1, 1, 1] -> (40320*li6half - 6720*li4half*ln2^2 - 
    224*ln2^6 - 6720*s6 + 26880*li4half*z2 + 4480*ln2^4*z2 - 
    14952*ln2^2*z2^2 - 11640*z2^3 + 52920*ln2*z2*z3 - 26145*z3^2)/13440, 
 H[0, -1, 1, 1, -1, 0, 1] -> (-960*li4half*z2 - 40*ln2^4*z2 + 
    720*ln2^2*z2^2 + 176*z2^3 - 1560*ln2*z2*z3 + 845*z3^2)/640, 
 H[0, -1, 1, 1, -1, -1, 1] -> (161280*li6half + 60480*li5half*ln2 + 
    10080*li4half*ln2^2 + 140*ln2^6 + 110880*s6 - 3360*ln2^4*z2 - 
    5292*ln2^2*z2^2 - 13500*z2^3 - 3780*ln2*z2*z3 - 39375*z3^2 - 
    117180*ln2*z5)/20160, H[0, -1, 1, 0, 1, 1, 1] -> 
  (23520*s6 - 3360*li4half*z2 - 140*ln2^4*z2 + 840*ln2^2*z2^2 - 1128*z2^3 - 
    27720*ln2*z2*z3 + 15015*z3^2)/6720, H[0, -1, 1, 0, 1, 0, 1] -> 
  (96*li4half*z2 + 4*ln2^4*z2 - 24*ln2^2*z2^2 + 5*z2^3 + 144*ln2*z2*z3 - 
    195*z3^2)/48, H[0, -1, 1, 0, 1, -1, 1] -> 
  (322560*li6half + 107520*li5half*ln2 - 448*ln2^6 + 174720*s6 + 
    26880*li4half*z2 + 3360*ln2^4*z2 - 32088*ln2^2*z2^2 - 43632*z2^3 + 
    36540*ln2*z2*z3 - 79800*z3^2 - 133455*ln2*z5)/6720, 
 H[0, -1, 1, 0, 0, 1, 1] -> (-33600*s6 - 26880*li4half*z2 - 1120*ln2^4*z2 + 
    6720*ln2^2*z2^2 + 3972*z2^3 + 7560*ln2*z2*z3 + 13965*z3^2)/6720, 
 H[0, -1, 1, 0, 0, 0, 1] -> (6720*s6 - 1234*z2^3 - 1575*z3^2)/1680, 
 H[0, -1, 1, 0, 0, -1, 1] -> (-20160*s6 - 6720*li4half*z2 - 280*ln2^4*z2 + 
    1680*ln2^2*z2^2 - 2538*z2^3 - 3780*ln2*z2*z3 + 11655*z3^2 + 32550*ln2*z5)/
   3360, H[0, -1, 1, 0, -1, 1, 1] -> 
  (-46080*li6half + 7680*li4half*ln2^2 + 256*ln2^6 - 24960*s6 - 
    3840*li4half*z2 - 1120*ln2^4*z2 + 8208*ln2^2*z2^2 + 6336*z2^3 - 
    4680*ln2*z2*z3 + 11895*z3^2)/1920, H[0, -1, 1, 0, -1, 0, 1] -> 
  (1344*s6 + 2016*li4half*z2 + 84*ln2^4*z2 - 504*ln2^2*z2^2 - 545*z2^3 + 
    756*ln2*z2*z3 - 756*z3^2)/336, H[0, -1, 1, 0, -1, -1, 1] -> 
  (-322560*li6half - 215040*li5half*ln2 - 53760*li4half*ln2^2 - 896*ln2^6 - 
    188160*s6 + 26880*li4half*z2 + 3360*ln2^4*z2 - 6720*ln2^2*z2^2 + 
    22896*z2^3 - 2520*ln2*z2*z3 + 71925*z3^2 + 305970*ln2*z5)/13440, 
 H[0, -1, 1, -1, 1, 1, 1] -> (-20160*li6half - 28*ln2^6 - 3360*li4half*z2 - 
    700*ln2^4*z2 + 3024*ln2^2*z2^2 + 3272*z2^3 + 980*ln2^3*z3 - 
    12600*ln2*z2*z3 + 8085*z3^2)/2240, H[0, -1, 1, -1, 1, 0, 1] -> 
  (80640*li6half + 112*ln2^6 + 20160*s6 - 1680*ln2^4*z2 - 5796*ln2^2*z2^2 - 
    9522*z2^3 + 14175*ln2*z2*z3 - 20475*z3^2)/5040, 
 H[0, -1, 1, -1, 1, -1, 1] -> (-6720*li5half*ln2 + 56*ln2^6 + 560*ln2^4*z2 - 
    1176*ln2^2*z2^2 + 496*z2^3 - 980*ln2^3*z3 + 4620*ln2*z2*z3 - 1470*z3^2 - 
    3255*ln2*z5)/2240, H[0, -1, 1, -1, 0, 1, 1] -> 
  (-9600*s6 + 3840*li4half*z2 + 160*ln2^4*z2 - 1680*ln2^2*z2^2 - 1568*z2^3 + 
    14400*ln2*z2*z3 - 3045*z3^2)/1920, H[0, -1, 1, -1, 0, 0, 1] -> 
  (2400*s6 - 1080*ln2^2*z2^2 - 106*z2^3 - 540*ln2*z2*z3 + 225*z3^2)/480, 
 H[0, -1, 1, -1, 0, -1, 1] -> (161280*li6half + 53760*li5half*ln2 - 
    224*ln2^6 + 70560*s6 + 6720*li4half*z2 + 1400*ln2^4*z2 - 
    13104*ln2^2*z2^2 - 24112*z2^3 + 5670*ln2*z2*z3 - 28245*z3^2 - 
    26040*ln2*z5)/3360, H[0, -1, 1, -1, -1, 1, 1] -> 
  (-5040*li6half + 840*li4half*ln2^2 + 28*ln2^6 - 4060*s6 + 840*li4half*z2 + 
    35*ln2^4*z2 + 504*ln2^2*z2^2 + 320*z2^3 - 245*ln2^3*z3 + 2205*ln2*z2*z3 + 
    420*z3^2)/560, H[0, -1, 1, -1, -1, 0, 1] -> 
  (-80640*li6half - 112*ln2^6 - 13440*s6 + 13440*li4half*z2 + 2240*ln2^4*z2 + 
    3696*ln2^2*z2^2 + 4836*z2^3 - 10080*ln2*z2*z3 + 20055*z3^2)/6720, 
 H[0, -1, 1, -1, -1, -1, 1] -> (201600*li6half + 20160*li5half*ln2 - 
    30240*li4half*ln2^2 - 1148*ln2^6 + 55440*s6 + 40320*li4half*z2 + 
    1680*ln2^4*z2 - 35280*ln2^2*z2^2 - 49536*z2^3 + 8820*ln2^3*z3 - 
    22995*z3^2 + 146475*ln2*z5)/20160, H[0, -1, 0, 1, 1, 1, 1] -> 
  (20160*li4half*z2 + 840*ln2^4*z2 - 5040*ln2^2*z2^2 - 6128*z2^3 + 
    17640*ln2*z2*z3 - 5355*z3^2)/13440, H[0, -1, 0, 1, 1, 0, 1] -> 
  (146*z2^3 - 483*z3^2)/672, H[0, -1, 0, 1, 1, -1, 1] -> 
  (-20160*li6half - 6720*li5half*ln2 + 28*ln2^6 - 11760*s6 - 
    1680*li4half*z2 - 210*ln2^4*z2 + 1848*ln2^2*z2^2 + 2953*z2^3 + 
    1575*ln2*z2*z3 + 3885*z3^2 + 3255*ln2*z5)/1680, 
 H[0, -1, 0, 1, 0, 1, 1] -> (-6720*li4half*z2 - 280*ln2^4*z2 + 
    1680*ln2^2*z2^2 + 1602*z2^3 - 5880*ln2*z2*z3 + 3185*z3^2)/1120, 
 H[0, -1, 0, 1, 0, 0, 1] -> (173*z2^3 - 315*z3^2)/280, 
 H[0, -1, 0, 1, 0, -1, 1] -> (3*z2^3)/560, H[0, -1, 0, 1, -1, 1, 1] -> 
  (11520*li6half - 1920*li4half*ln2^2 - 64*ln2^6 + 9120*s6 - 
    1920*li4half*z2 + 160*ln2^4*z2 - 1152*ln2^2*z2^2 - 800*z2^3 - 
    4680*ln2*z2*z3 - 885*z3^2)/960, H[0, -1, 0, 1, -1, 0, 1] -> 
  (-6720*s6 - 6720*li4half*z2 - 280*ln2^4*z2 + 1680*ln2^2*z2^2 + 2389*z2^3 - 
    315*z3^2)/1680, H[0, -1, 0, 1, -1, -1, 1] -> 
  (53760*li5half*ln2 + 26880*li4half*ln2^2 + 672*ln2^6 - 20160*s6 - 
    40320*li4half*z2 - 3920*ln2^4*z2 + 21504*ln2^2*z2^2 + 11512*z2^3 + 
    8085*z3^2 - 84630*ln2*z5)/13440, H[0, -1, 0, 0, 1, 1, 1] -> 
  (20160*li4half*z2 + 840*ln2^4*z2 - 5040*ln2^2*z2^2 - 2312*z2^3 + 
    17640*ln2*z2*z3 - 17115*z3^2)/6720, H[0, -1, 0, 0, 1, 0, 1] -> 
  (-3*(202*z2^3 - 525*z3^2))/560, H[0, -1, 0, 0, 1, -1, 1] -> 
  (3360*s6 - 692*z2^3 - 11340*ln2*z2*z3 + 2520*z3^2 + 16275*ln2*z5)/3360, 
 H[0, -1, 0, 0, 0, 1, 1] -> (239*z2^3 - 630*z3^2)/840, 
 H[0, -1, 0, 0, 0, 0, 1] -> (31*z2^3)/28, H[0, -1, 0, 0, 0, -1, 1] -> 
  (6720*s6 + 1802*z2^3 - 3465*z3^2 - 13020*ln2*z5)/1680, 
 H[0, -1, 0, 0, -1, 1, 1] -> (-23520*s6 - 628*z2^3 + 22680*ln2*z2*z3 - 
    3465*z3^2)/6720, H[0, -1, 0, 0, -1, 0, 1] -> (-3*(7*z2^3 - 15*z3^2))/40, 
 H[0, -1, 0, 0, -1, -1, 1] -> (5040*s6 + 1112*z2^3 - 1995*z3^2 - 9765*ln2*z5)/
   3360, H[0, -1, 0, -1, 1, 1, 1] -> 
  (-161280*li6half - 224*ln2^6 - 141120*s6 + 201600*li4half*z2 + 
    11760*ln2^4*z2 - 16128*ln2^2*z2^2 - 24600*z2^3 - 23520*ln2^3*z3 + 
    229320*ln2*z2*z3 - 89775*z3^2)/40320, H[0, -1, 0, -1, 1, 0, 1] -> 
  (960*s6 + 480*li4half*z2 + 20*ln2^4*z2 - 120*ln2^2*z2^2 - 203*z2^3 - 
    420*ln2*z2*z3 + 180*z3^2)/240, H[0, -1, 0, -1, 1, -1, 1] -> 
  (161280*li6half + 40320*li5half*ln2 - 112*ln2^6 + 90720*s6 + 
    20160*li4half*z2 + 840*ln2^4*z2 - 22176*ln2^2*z2^2 - 26844*z2^3 + 
    5880*ln2^3*z3 - 13860*ln2*z2*z3 - 30870*z3^2 + 9765*ln2*z5)/10080, 
 H[0, -1, 0, -1, 0, 1, 1] -> (-2400*li4half*z2 - 100*ln2^4*z2 + 
    600*ln2^2*z2^2 + 633*z2^3 - 2100*ln2*z2*z3 + 945*z3^2)/240, 
 H[0, -1, 0, -1, 0, 0, 1] -> (92*z2^3 - 225*z3^2)/80, 
 H[0, -1, 0, -1, 0, -1, 1] -> (6720*s6 - 3360*li4half*z2 - 140*ln2^4*z2 + 
    840*ln2^2*z2^2 + 2511*z2^3 - 2940*ln2*z2*z3 - 1785*z3^2 - 13020*ln2*z5)/
   1680, H[0, -1, 0, -1, -1, 1, 1] -> 
  (-322560*li6half + 80640*li4half*ln2^2 + 2912*ln2^6 - 191520*s6 - 
    221760*li4half*z2 - 22680*ln2^4*z2 + 89712*ln2^2*z2^2 + 93000*z2^3 + 
    23520*ln2^3*z3 - 173880*ln2*z2*z3 + 157185*z3^2)/40320, 
 H[0, -1, 0, -1, -1, 0, 1] -> (6720*li4half*z2 + 280*ln2^4*z2 - 
    1680*ln2^2*z2^2 + 34*z2^3 + 5880*ln2*z2*z3 - 8295*z3^2)/3360, 
 H[0, -1, 0, -1, -1, -1, 1] -> (-80640*li6half - 80640*li5half*ln2 - 
    40320*li4half*ln2^2 - 1120*ln2^6 + 45360*s6 + 5040*ln2^4*z2 + 
    27264*z2^3 - 11760*ln2^3*z3 - 14490*z3^2 - 87885*ln2*z5)/20160, 
 H[0, -1, -1, 1, 1, 1, 1] -> (20160*li6half + 28*ln2^6 + 5040*s6 + 
    1260*li4half*z2 + 105*ln2^4*z2 - 1764*ln2^2*z2^2 - 2970*z2^3 + 
    3780*ln2*z2*z3 - 4095*z3^2)/2520, H[0, -1, -1, 1, 1, 0, 1] -> 
  (-322560*li6half - 448*ln2^6 - 50400*s6 + 40320*li4half*z2 + 
    8400*ln2^4*z2 - 9576*ln2^2*z2^2 + 32832*z2^3 + 28035*z3^2)/40320, 
 H[0, -1, -1, 1, 1, -1, 1] -> (-201600*li6half + 40320*li5half*ln2 - 
    616*ln2^6 - 100800*s6 + 2520*ln2^4*z2 + 22176*ln2^2*z2^2 + 21528*z2^3 - 
    7560*ln2*z2*z3 + 40005*z3^2 + 19530*ln2*z5)/40320, 
 H[0, -1, -1, 1, 0, 1, 1] -> (23520*s6 - 26880*li4half*z2 - 1120*ln2^4*z2 + 
    9240*ln2^2*z2^2 + 7264*z2^3 - 52920*ln2*z2*z3 + 19635*z3^2)/13440, 
 H[0, -1, -1, 1, 0, 0, 1] -> (-4704*s6 - 1344*li4half*z2 - 56*ln2^4*z2 + 
    1848*ln2^2*z2^2 + 776*z2^3 + 63*z3^2)/1344, 
 H[0, -1, -1, 1, 0, -1, 1] -> (-322560*li6half - 107520*li5half*ln2 + 
    448*ln2^6 - 154560*s6 - 26880*li4half*z2 - 3360*ln2^4*z2 + 
    29568*ln2^2*z2^2 + 52232*z2^3 + 57435*z3^2 + 32550*ln2*z5)/13440, 
 H[0, -1, -1, 1, -1, 1, 1] -> (-80640*li6half - 60480*li4half*ln2^2 - 
    2632*ln2^6 + 90720*s6 - 60480*li4half*z2 - 3360*ln2^4*z2 + 
    27720*ln2^2*z2^2 + 30024*z2^3 - 173880*ln2*z2*z3 + 60795*z3^2)/40320, 
 H[0, -1, -1, 1, -1, 0, 1] -> (40320*li6half + 56*ln2^6 + 6720*s6 - 
    10080*li4half*z2 - 1260*ln2^4*z2 + 252*ln2^2*z2^2 - 1074*z2^3 - 
    9345*z3^2)/3360, H[0, -1, -1, 1, -1, -1, 1] -> 
  (-20160*li6half - 6720*li5half*ln2 + 3360*li4half*ln2^2 + 168*ln2^6 - 
    8400*s6 - 6720*li4half*z2 - 420*ln2^4*z2 + 2940*ln2^2*z2^2 + 5504*z2^3 + 
    3150*z3^2 - 9765*ln2*z5)/2240, H[0, -1, -1, 0, 1, 1, 1] -> 
  (-8*z2^3 + 35*z3^2)/4480, H[0, -1, -1, 0, 1, 0, 1] -> 
  (-49*z2^3 + 135*z3^2)/240, H[0, -1, -1, 0, 1, -1, 1] -> 
  (13440*s6 + 26880*li4half*z2 + 1120*ln2^4*z2 - 6720*ln2^2*z2^2 - 
    8208*z2^3 - 3675*z3^2 + 19530*ln2*z5)/13440, 
 H[0, -1, -1, 0, 0, 1, 1] -> (3360*li4half*z2 + 140*ln2^4*z2 - 
    840*ln2^2*z2^2 - 796*z2^3 + 2940*ln2*z2*z3 - 1575*z3^2)/1120, 
 H[0, -1, -1, 0, 0, 0, 1] -> (-23*z2^3 + 45*z3^2)/60, 
 H[0, -1, -1, 0, 0, -1, 1] -> (-2240*s6 - 452*z2^3 + 805*z3^2 + 4340*ln2*z5)/
   2240, H[0, -1, -1, 0, -1, 1, 1] -> 
  (-23520*s6 + 33600*li4half*z2 + 1400*ln2^4*z2 - 8400*ln2^2*z2^2 - 
    8448*z2^3 + 52920*ln2*z2*z3 - 20685*z3^2)/13440, 
 H[0, -1, -1, 0, -1, 0, 1] -> (-2554*z2^3 + 7665*z3^2)/3360, 
 H[0, -1, -1, 0, -1, -1, 1] -> (-2400*s6 - 512*z2^3 + 905*z3^2 + 4650*ln2*z5)/
   640, H[0, -1, -1, -1, 1, 1, 1] -> 
  (40320*li6half + 56*ln2^6 + 10080*s6 + 6720*li4half*z2 + 700*ln2^4*z2 - 
    5208*ln2^2*z2^2 - 6696*z2^3 - 980*ln2^3*z3 + 13020*ln2*z2*z3 - 
    11865*z3^2)/6720, H[0, -1, -1, -1, 1, 0, 1] -> 
  (-161280*li6half - 224*ln2^6 + 20160*s6 + 60480*li4half*z2 + 
    5880*ln2^4*z2 - 11088*ln2^2*z2^2 - 2880*z2^3 - 17640*ln2*z2*z3 + 
    40635*z3^2)/40320, H[0, -1, -1, -1, 1, -1, 1] -> 
  (10080*li6half + 10080*li5half*ln2 - 70*ln2^6 + 6720*s6 + 6720*li4half*z2 + 
    70*ln2^4*z2 - 1428*ln2^2*z2^2 - 3840*z2^3 + 490*ln2^3*z3 - 
    1470*ln2*z2*z3 - 1785*z3^2 + 3255*ln2*z5)/3360, 
 H[0, -1, -1, -1, 0, 1, 1] -> (-33600*li4half*z2 - 1400*ln2^4*z2 + 
    8400*ln2^2*z2^2 + 9032*z2^3 - 29400*ln2*z2*z3 + 12705*z3^2)/13440, 
 H[0, -1, -1, -1, 0, 0, 1] -> (2624*z2^3 - 7665*z3^2)/6720, 
 H[0, -1, -1, -1, 0, -1, 1] -> (2400*s6 - 480*li4half*z2 - 20*ln2^4*z2 + 
    120*ln2^2*z2^2 + 704*z2^3 - 420*ln2*z2*z3 - 915*z3^2 - 4650*ln2*z5)/960, 
 H[0, -1, -1, -1, -1, 1, 1] -> (3360*li4half*ln2^2 + 140*ln2^6 - 6720*s6 - 
    6720*li4half*z2 - 700*ln2^4*z2 + 1512*ln2^2*z2^2 + 1536*z2^3 + 
    980*ln2^3*z3 + 1785*z3^2)/6720, H[0, -1, -1, -1, -1, 0, 1] -> 
  (960*li4half*z2 + 40*ln2^4*z2 - 240*ln2^2*z2^2 - 384*z2^3 + 840*ln2*z2*z3 + 
    15*z3^2)/1920, H[0, -1, -1, -1, -1, -1, 1] -> 
  (-5040*li6half - 5040*li5half*ln2 - 2520*li4half*ln2^2 - 70*ln2^6 + 
    315*ln2^4*z2 + 1152*z2^3 - 735*ln2^3*z3)/5040, 
 H[-1, 1, 1, 1, 1, 1, 1] -> li6half, H[-1, 1, 1, 1, 1, 0, 1] -> 
  (-720*li6half - 240*li5half*ln2 + ln2^6 - 120*s6 - 10*ln2^4*z2 - 
    6*ln2^2*z2^2 + 48*z2^3 + 40*ln2^3*z3 - 120*ln2*z2*z3 + 150*z3^2 + 
    240*ln2*z5)/240, H[-1, 1, 1, 1, 1, -1, 1] -> 
  (1152*li5half*ln2 + 576*li4half*ln2^2 + 16*ln2^6 - 576*li4half*z2 - 
    96*ln2^4*z2 + 144*ln2^2*z2^2 + 168*ln2^3*z3 - 504*ln2*z2*z3 + 441*z3^2)/
   1152, H[-1, 1, 1, 1, 0, 1, 1] -> 
  (20160*li6half + 13440*li5half*ln2 + 1680*li4half*ln2^2 - 14*ln2^6 + 
    7560*s6 + 1680*li4half*z2 + 210*ln2^4*z2 + 378*ln2^2*z2^2 - 2208*z2^3 - 
    1120*ln2^3*z3 + 3360*ln2*z2*z3 - 5775*z3^2 - 13440*ln2*z5)/3360, 
 H[-1, 1, 1, 1, 0, 0, 1] -> (-40320*li6half - 20160*li5half*ln2 + 112*ln2^6 - 
    17640*s6 + 5040*li4half*z2 - 630*ln2^4*z2 + 1134*ln2^2*z2^2 + 6264*z2^3 + 
    1680*ln2^3*z3 + 5985*z3^2 + 10395*ln2*z5)/10080, 
 H[-1, 1, 1, 1, 0, -1, 1] -> (-443520*li6half - 161280*li5half*ln2 - 
    20160*li4half*ln2^2 - 112*ln2^6 - 131040*s6 + 40320*li4half*z2 + 
    1680*ln2^4*z2 + 23184*ln2^2*z2^2 + 66744*z2^3 - 10080*ln2^3*z3 + 
    30240*ln2*z2*z3 + 33705*z3^2 - 34020*ln2*z5)/40320, 
 H[-1, 1, 1, 1, -1, 1, 1] -> (-120960*li6half - 80640*li5half*ln2 - 
    30240*li4half*ln2^2 - 728*ln2^6 - 50400*s6 + 30240*li4half*z2 + 
    4200*ln2^4*z2 - 7560*ln2^2*z2^2 + 10368*z2^3 - 5880*ln2^3*z3 + 
    17640*ln2*z2*z3 + 3465*z3^2 + 80640*ln2*z5)/20160, 
 H[-1, 1, 1, 1, -1, 0, 1] -> (80640*li6half + 53760*li5half*ln2 + 
    20160*li4half*ln2^2 + 504*ln2^6 + 33600*s6 - 13440*li4half*z2 - 
    2520*ln2^4*z2 + 3696*ln2^2*z2^2 - 6576*z2^3 + 3640*ln2^3*z3 - 
    5040*ln2*z2*z3 - 8925*z3^2 - 65520*ln2*z5)/13440, 
 H[-1, 1, 1, 1, -1, -1, 1] -> (17280*li6half + 5760*li5half*ln2 - 32*ln2^6 + 
    17280*s6 + 240*ln2^4*z2 - 48*z2^3 - 840*ln2^3*z3 + 2520*ln2*z2*z3 - 
    6885*z3^2 - 28620*ln2*z5)/5760, H[-1, 1, 1, 0, 1, 1, 1] -> 
  (-403200*li6half - 241920*li5half*ln2 - 60480*li4half*ln2^2 - 1064*ln2^6 - 
    151200*s6 + 60480*li4half*z2 + 5880*ln2^4*z2 - 12600*ln2^2*z2^2 + 
    31104*z2^3 + 840*ln2^3*z3 - 2520*ln2*z2*z3 + 76545*z3^2 + 241920*ln2*z5)/
   40320, H[-1, 1, 1, 0, 1, 0, 1] -> 
  (80640*li6half + 26880*li5half*ln2 - 112*ln2^6 + 28560*s6 - 
    10080*li4half*z2 + 140*ln2^4*z2 - 1764*ln2^2*z2^2 - 9776*z2^3 - 
    2240*ln2^3*z3 - 2940*ln2*z2*z3 - 12810*z3^2 - 7665*ln2*z5)/6720, 
 H[-1, 1, 1, 0, 1, -1, 1] -> (181440*li6half + 40320*li5half*ln2 - 
    3360*li4half*ln2^2 - 224*ln2^6 + 72240*s6 + 3360*li4half*z2 + 
    2240*ln2^4*z2 - 19824*ln2^2*z2^2 - 27108*z2^3 + 1820*ln2^3*z3 + 
    3360*ln2*z2*z3 - 30765*z3^2 + 8505*ln2*z5)/6720, 
 H[-1, 1, 1, 0, 0, 1, 1] -> (3840*li5half*ln2 + 1920*li4half*ln2^2 + 
    48*ln2^6 - 2880*s6 - 3840*li4half*z2 - 320*ln2^4*z2 + 1536*ln2^2*z2^2 + 
    592*z2^3 + 320*ln2^3*z3 - 720*ln2*z2*z3 + 2685*z3^2 - 3750*ln2*z5)/1920, 
 H[-1, 1, 1, 0, 0, 0, 1] -> (10080*s6 + 6720*li4half*z2 + 280*ln2^4*z2 - 
    2856*ln2^2*z2^2 - 1416*z2^3 + 3360*ln2*z2*z3 - 6825*z3^2 - 6090*ln2*z5)/
   6720, H[-1, 1, 1, 0, 0, -1, 1] -> 
  (-40320*li6half - 40320*li5half*ln2 - 20160*li4half*ln2^2 - 560*ln2^6 - 
    5040*s6 + 10080*li4half*z2 + 2940*ln2^4*z2 - 3780*ln2^2*z2^2 + 
    3432*z2^3 - 3360*ln2^3*z3 + 11340*ln2*z2*z3 + 10395*z3^2 + 315*ln2*z5)/
   20160, H[-1, 1, 1, 0, -1, 1, 1] -> 
  (-14400*li6half + 2880*li5half*ln2 + 3360*li4half*ln2^2 + 96*ln2^6 - 
    8880*s6 - 3360*li4half*z2 - 680*ln2^4*z2 + 3480*ln2^2*z2^2 + 2436*z2^3 + 
    260*ln2^3*z3 - 2040*ln2*z2*z3 + 4695*z3^2 - 2970*ln2*z5)/960, 
 H[-1, 1, 1, 0, -1, 0, 1] -> (40320*li6half + 13440*li5half*ln2 - 56*ln2^6 + 
    23520*s6 + 5040*li4half*z2 + 490*ln2^4*z2 - 3570*ln2^2*z2^2 - 5948*z2^3 - 
    840*ln2^3*z3 + 1470*ln2*z2*z3 - 12180*z3^2 - 10815*ln2*z5)/3360, 
 H[-1, 1, 1, 0, -1, -1, 1] -> (-20160*li5half*ln2 - 10080*li4half*ln2^2 - 
    252*ln2^6 - 5040*s6 + 840*ln2^4*z2 - 4032*ln2^2*z2^2 - 1236*z2^3 + 
    140*ln2^3*z3 - 420*ln2*z2*z3 + 2625*z3^2 + 30555*ln2*z5)/6720, 
 H[-1, 1, 1, -1, 1, 1, 1] -> (362880*li6half + 241920*li5half*ln2 + 
    60480*li4half*ln2^2 + 1064*ln2^6 + 151200*s6 - 60480*li4half*z2 - 
    5880*ln2^4*z2 + 12600*ln2^2*z2^2 - 31104*z2^3 + 5880*ln2^3*z3 - 
    17640*ln2*z2*z3 - 41265*z3^2 - 241920*ln2*z5)/40320, 
 H[-1, 1, 1, -1, 1, 0, 1] -> (-20160*li6half - 16800*li5half*ln2 - 
    5040*li4half*ln2^2 - 98*ln2^6 - 14280*s6 + 350*ln2^4*z2 + 84*ln2^2*z2^2 + 
    942*z2^3 - 560*ln2^3*z3 - 1260*ln2*z2*z3 + 6825*z3^2 + 25935*ln2*z5)/
   3360, H[-1, 1, 1, -1, 1, -1, 1] -> 
  (-17280*li6half - 8640*li5half*ln2 + 44*ln2^6 - 17280*s6 - 300*ln2^4*z2 + 
    180*ln2^2*z2^2 + 108*z2^3 + 840*ln2^3*z3 - 2520*ln2*z2*z3 + 6885*z3^2 + 
    29835*ln2*z5)/2880, H[-1, 1, 1, -1, 0, 1, 1] -> 
  (-60480*li6half - 47040*li5half*ln2 - 13440*li4half*ln2^2 - 252*ln2^6 - 
    25200*s6 + 13440*li4half*z2 + 1540*ln2^4*z2 - 4956*ln2^2*z2^2 + 
    4008*z2^3 - 700*ln2^3*z3 + 7980*ln2*z2*z3 + 5775*z3^2 + 46410*ln2*z5)/
   6720, H[-1, 1, 1, -1, 0, 0, 1] -> 
  (10080*li6half + 6720*li5half*ln2 + 1680*li4half*ln2^2 + 28*ln2^6 + 
    7140*s6 - 70*ln2^4*z2 - 399*ln2^2*z2^2 - 765*z2^3 + 210*ln2^3*z3 + 
    735*ln2*z2*z3 - 2940*z3^2 - 9870*ln2*z5)/1680, 
 H[-1, 1, 1, -1, 0, -1, 1] -> (5760*li6half - 960*li5half*ln2 - 
    1920*li4half*ln2^2 - 64*ln2^6 + 5760*s6 + 1920*li4half*z2 + 
    380*ln2^4*z2 - 1272*ln2^2*z2^2 - 708*z2^3 - 460*ln2^3*z3 + 
    1800*ln2*z2*z3 - 2685*z3^2 - 4305*ln2*z5)/960, 
 H[-1, 1, 1, -1, -1, 1, 1] -> (-56*ln2^6 + 840*ln2^4*z2 + 2520*ln2^2*z2^2 - 
    1224*z2^3 - 5880*ln2^3*z3 - 2520*ln2*z2*z3 + 4725*z3^2 + 1890*ln2*z5)/
   40320, H[-1, 1, 1, -1, -1, 0, 1] -> 
  (201600*li6half + 161280*li5half*ln2 + 40320*li4half*ln2^2 + 616*ln2^6 + 
    100800*s6 - 40320*li4half*z2 - 3360*ln2^4*z2 + 9072*ln2^2*z2^2 - 
    9936*z2^3 + 840*ln2^3*z3 - 20160*ln2*z2*z3 - 35595*z3^2 - 174510*ln2*z5)/
   40320, H[-1, 1, 1, -1, -1, -1, 1] -> 
  (-3360*li6half - 3360*li5half*ln2 - 1680*li4half*ln2^2 - 42*ln2^6 + 
    840*s6 + 1680*li4half*z2 + 210*ln2^4*z2 - 630*ln2^2*z2^2 + 416*z2^3 + 
    1680*ln2*z2*z3 - 735*z3^2 - 1785*ln2*z5)/3360, 
 H[-1, 1, 0, 1, 1, 1, 1] -> (100800*li6half + 80640*li5half*ln2 + 
    30240*li4half*ln2^2 + 728*ln2^6 + 50400*s6 - 30240*li4half*z2 - 
    4200*ln2^4*z2 + 3528*ln2^2*z2^2 - 6336*z2^3 + 5880*ln2^3*z3 - 
    17640*ln2*z2*z3 - 3465*z3^2 - 80640*ln2*z5)/20160, 
 H[-1, 1, 0, 1, 1, 0, 1] -> (448*s6 + 672*li4half*z2 + 28*ln2^4*z2 - 
    56*ln2^2*z2^2 + 32*z2^3 + 616*ln2*z2*z3 - 784*z3^2 - 1239*ln2*z5)/448, 
 H[-1, 1, 0, 1, 1, -1, 1] -> (-181440*li6half - 53760*li5half*ln2 - 
    3360*li4half*ln2^2 + 56*ln2^6 - 72240*s6 + 3360*li4half*z2 - 
    2240*ln2^4*z2 + 16380*ln2^2*z2^2 + 25680*z2^3 - 2940*ln2^3*z3 + 
    8820*ln2*z2*z3 + 24885*z3^2 - 2415*ln2*z5)/6720, 
 H[-1, 1, 0, 1, 0, 1, 1] -> (-80640*li6half - 53760*li5half*ln2 - 
    13440*li4half*ln2^2 - 224*ln2^6 - 31920*s6 + 6720*li4half*z2 + 
    840*ln2^4*z2 - 2688*ln2^2*z2^2 + 8772*z2^3 - 1680*ln2*z2*z3 + 
    12495*z3^2 + 52500*ln2*z5)/6720, H[-1, 1, 0, 1, 0, 0, 1] -> 
  (-3360*s6 - 6720*li4half*z2 - 280*ln2^4*z2 - 336*ln2^2*z2^2 + 2050*z2^3 - 
    3360*ln2*z2*z3 + 4305*z3^2 + 4305*ln2*z5)/3360, 
 H[-1, 1, 0, 1, 0, -1, 1] -> (161280*li6half + 80640*li5half*ln2 + 
    20160*li4half*ln2^2 + 392*ln2^6 + 40320*s6 - 25200*li4half*z2 - 
    2730*ln2^4*z2 - 2646*ln2^2*z2^2 - 19980*z2^3 + 5880*ln2^3*z3 - 
    18900*ln2*z2*z3 - 10395*z3^2 - 630*ln2*z5)/10080, 
 H[-1, 1, 0, 1, -1, 1, 1] -> (80640*li6half + 13440*li5half*ln2 - 
    2520*li4half*ln2^2 - 105*ln2^6 + 43680*s6 + 2520*li4half*z2 + 
    1435*ln2^4*z2 - 9387*ln2^2*z2^2 - 10215*z2^3 - 16380*z3^2 - 12810*ln2*z5)/
   1680, H[-1, 1, 0, 1, -1, 0, 1] -> 
  (-161280*li6half - 53760*li5half*ln2 - 6720*li4half*ln2^2 - 56*ln2^6 - 
    87360*s6 - 5040*li4half*z2 + 350*ln2^4*z2 + 11550*ln2^2*z2^2 + 
    20472*z2^3 - 1680*ln2*z2*z3 + 34440*z3^2 + 53235*ln2*z5)/3360, 
 H[-1, 1, 0, 1, -1, -1, 1] -> (-28800*li6half - 3840*li5half*ln2 + 
    2400*li4half*ln2^2 + 92*ln2^6 - 16800*s6 - 960*li4half*z2 - 
    720*ln2^4*z2 + 3336*ln2^2*z2^2 + 3300*z2^3 + 420*ln2^3*z3 - 
    1260*ln2*z2*z3 + 6615*z3^2 + 8250*ln2*z5)/960, 
 H[-1, 1, 0, 0, 1, 1, 1] -> (11520*li6half + 5760*li5half*ln2 - 32*ln2^6 + 
    3600*s6 + 240*ln2^4*z2 - 144*ln2^2*z2^2 - 684*z2^3 - 840*ln2^3*z3 + 
    2520*ln2*z2*z3 - 4995*z3^2 - 5625*ln2*z5)/2880, 
 H[-1, 1, 0, 0, 1, 0, 1] -> (-3360*s6 + 2016*ln2^2*z2^2 - 3002*z2^3 - 
    1260*ln2*z2*z3 + 5880*z3^2 + 5355*ln2*z5)/3360, 
 H[-1, 1, 0, 0, 1, -1, 1] -> (-1920*li5half*ln2 + 16*ln2^6 - 160*ln2^4*z2 - 
    228*ln2^2*z2^2 - 228*z2^3 - 1440*ln2*z2*z3 + 480*z3^2 + 4665*ln2*z5)/960, 
 H[-1, 1, 0, 0, 0, 1, 1] -> (10080*s6 - 1344*ln2^2*z2^2 + 3104*z2^3 - 
    5040*ln2*z2*z3 - 5565*z3^2 - 7140*ln2*z5)/6720, 
 H[-1, 1, 0, 0, 0, 0, 1] -> (3*(148*z2^3 - 105*z3^2 - 350*ln2*z5))/1120, 
 H[-1, 1, 0, 0, 0, -1, 1] -> (13440*s6 - 588*ln2^2*z2^2 + 3350*z2^3 - 
    1260*ln2*z2*z3 - 5985*z3^2 - 22470*ln2*z5)/3360, 
 H[-1, 1, 0, 0, -1, 1, 1] -> (-20160*li6half - 28*ln2^6 - 14280*s6 + 
    420*ln2^4*z2 + 1932*ln2^2*z2^2 + 2718*z2^3 + 5040*ln2*z2*z3 + 2625*z3^2 - 
    1575*ln2*z5)/3360, H[-1, 1, 0, 0, -1, 0, 1] -> 
  (-3360*s6 + 1764*ln2^2*z2^2 - 1870*z2^3 + 1260*ln2*z2*z3 + 2520*z3^2 + 
    1155*ln2*z5)/3360, H[-1, 1, 0, 0, -1, -1, 1] -> 
  (-720*li6half - ln2^6 + 450*s6 + 360*li4half*z2 + 30*ln2^4*z2 + 
    45*ln2^2*z2^2 + 153*z2^3 - 105*ln2^3*z3 + 315*ln2*z2*z3 - 270*z3^2 - 
    1575*ln2*z5)/360, H[-1, 1, 0, -1, 1, 1, 1] -> 
  (-403200*li6half - 94080*li5half*ln2 - 13440*li4half*ln2^2 - 336*ln2^6 - 
    208320*s6 + 13440*li4half*z2 - 560*ln2^4*z2 + 33096*ln2^2*z2^2 + 
    47688*z2^3 - 5880*ln2^3*z3 + 17640*ln2*z2*z3 + 62685*z3^2 + 92820*ln2*z5)/
   13440, H[-1, 1, 0, -1, 1, 0, 1] -> 
  (161280*li6half + 53760*li5half*ln2 + 6720*li4half*ln2^2 + 56*ln2^6 + 
    87360*s6 - 560*ln2^4*z2 - 9450*ln2^2*z2^2 - 19662*z2^3 - 1680*ln2*z2*z3 - 
    31080*z3^2 - 57435*ln2*z5)/3360, H[-1, 1, 0, -1, 1, -1, 1] -> 
  (322560*li6half + 73920*li5half*ln2 - 168*ln2^6 + 174720*s6 + 
    4480*ln2^4*z2 - 30912*ln2^2*z2^2 - 36888*z2^3 - 65520*z3^2 - 
    88725*ln2*z5)/6720, H[-1, 1, 0, -1, 0, 1, 1] -> 
  (-80640*li6half - 53760*li5half*ln2 - 13440*li4half*ln2^2 - 224*ln2^6 - 
    30240*s6 - 13440*li4half*z2 + 3108*ln2^2*z2^2 + 15060*z2^3 - 
    21840*ln2*z2*z3 + 18165*z3^2 + 51660*ln2*z5)/6720, 
 H[-1, 1, 0, -1, 0, 0, 1] -> (-3360*s6 - 6720*li4half*z2 - 280*ln2^4*z2 - 
    84*ln2^2*z2^2 + 3470*z2^3 - 2520*ln2*z2*z3 - 315*z3^2 + 2205*ln2*z5)/
   3360, H[-1, 1, 0, -1, 0, -1, 1] -> 
  (161280*li6half + 80640*li5half*ln2 + 20160*li4half*ln2^2 + 392*ln2^6 + 
    80640*s6 - 40320*li4half*z2 - 3360*ln2^4*z2 + 1890*ln2^2*z2^2 - 
    6642*z2^3 + 5880*ln2^3*z3 - 34020*ln2*z2*z3 - 21735*z3^2 - 77490*ln2*z5)/
   10080, H[-1, 1, 0, -1, -1, 1, 1] -> 
  (-40320*li6half - 13440*li5half*ln2 - 1920*li4half*ln2^2 - 24*ln2^6 - 
    19200*s6 + 1920*li4half*z2 - 440*ln2^4*z2 + 2088*ln2^2*z2^2 + 4536*z2^3 + 
    840*ln2^3*z3 + 6885*z3^2 + 13710*ln2*z5)/1920, 
 H[-1, 1, 0, -1, -1, 0, 1] -> (-896*s6 + 56*ln2^2*z2^2 - 136*z2^3 + 
    1232*ln2*z2*z3 + 133*z3^2 - 742*ln2*z5)/896, 
 H[-1, 1, 0, -1, -1, -1, 1] -> (141120*li6half + 60480*li5half*ln2 - 
    308*ln2^6 + 95760*s6 - 10080*li4half*z2 + 1680*ln2^4*z2 - 
    1512*ln2^2*z2^2 - 8640*z2^3 - 5880*ln2^3*z3 - 8820*ln2*z2*z3 - 
    33705*z3^2 - 104895*ln2*z5)/20160, H[-1, 1, -1, 1, 1, 1, 1] -> 
  (-23520*li6half - 13440*li5half*ln2 - 1680*li4half*ln2^2 + 14*ln2^6 - 
    7560*s6 + 1680*li4half*z2 - 210*ln2^4*z2 - 378*ln2^2*z2^2 + 2208*z2^3 + 
    1120*ln2^3*z3 - 3360*ln2*z2*z3 + 5775*z3^2 + 13440*ln2*z5)/3360, 
 H[-1, 1, -1, 1, 1, 0, 1] -> (2880*li6half + 2880*li5half*ln2 + 
    1440*li4half*ln2^2 + 40*ln2^6 + 4320*s6 + 2880*li4half*z2 - 
    576*ln2^2*z2^2 + 360*z2^3 - 60*ln2^3*z3 + 4320*ln2*z2*z3 - 5805*z3^2 - 
    11250*ln2*z5)/2880, H[-1, 1, -1, 1, 1, -1, 1] -> 
  (17280*li6half + 8640*li5half*ln2 - 52*ln2^6 + 17280*s6 + 420*ln2^4*z2 - 
    36*ln2^2*z2^2 + 36*z2^3 - 1380*ln2^3*z3 + 4140*ln2*z2*z3 - 7515*z3^2 - 
    32445*ln2*z5)/2880, H[-1, 1, -1, 1, 0, 1, 1] -> 
  (262080*li6half + 161280*li5half*ln2 + 40320*li4half*ln2^2 + 700*ln2^6 + 
    95760*s6 - 40320*li4half*z2 - 2940*ln2^4*z2 + 5292*ln2^2*z2^2 - 
    23472*z2^3 + 840*ln2^3*z3 + 2520*ln2*z2*z3 - 36855*z3^2 - 153720*ln2*z5)/
   20160, H[-1, 1, -1, 1, 0, 0, 1] -> 
  (-133*ln2^2*z2^2 - 89*z2^3 + 70*ln2^3*z3 - 490*ln2*z2*z3 + 385*z3^2 + 
    1050*ln2*z5)/560, H[-1, 1, -1, 1, 0, -1, 1] -> 
  (80640*li6half + 40320*li5half*ln2 + 10080*li4half*ln2^2 + 196*ln2^6 + 
    20160*s6 - 10080*li4half*z2 - 1155*ln2^4*z2 - 1638*ln2^2*z2^2 - 
    10809*z2^3 + 2730*ln2^3*z3 - 7560*ln2*z2*z3 - 5670*z3^2 - 630*ln2*z5)/
   5040, H[-1, 1, -1, 1, -1, 1, 1] -> 
  (-14*ln2^6 + 210*ln2^4*z2 - 126*ln2^2*z2^2 + 90*z2^3 - 420*ln2^3*z3 + 
    1260*ln2*z2*z3 - 315*z3^2 - 1890*ln2*z5)/10080, 
 H[-1, 1, -1, 1, -1, 0, 1] -> (-35*ln2^4*z2 - 84*ln2^2*z2^2 - 99*z2^3 + 
    280*ln2^3*z3 - 1050*ln2*z2*z3 + 420*z3^2 + 1680*ln2*z5)/1680, 
 H[-1, 1, -1, 1, -1, -1, 1] -> (60480*li6half + 60480*li5half*ln2 + 
    30240*li4half*ln2^2 + 868*ln2^6 - 15120*s6 - 30240*li4half*z2 - 
    5460*ln2^4*z2 + 7812*ln2^2*z2^2 - 7488*z2^3 + 9660*ln2^3*z3 - 
    28980*ln2*z2*z3 + 12915*z3^2 + 33075*ln2*z5)/20160, 
 H[-1, 1, -1, 0, 1, 1, 1] -> (282240*li6half + 120960*li5half*ln2 - 
    616*ln2^6 + 90720*s6 + 4200*ln2^4*z2 - 2520*ln2^2*z2^2 - 28512*z2^3 - 
    18480*ln2^3*z3 + 55440*ln2*z2*z3 - 85995*z3^2 - 124740*ln2*z5)/40320, 
 H[-1, 1, -1, 0, 1, 0, 1] -> (-161280*li6half - 80640*li5half*ln2 - 
    20160*li4half*ln2^2 - 392*ln2^6 - 90720*s6 + 1680*ln2^4*z2 + 
    6426*ln2^2*z2^2 + 12990*z2^3 - 2520*ln2^3*z3 - 8820*ln2*z2*z3 + 
    51030*z3^2 + 104265*ln2*z5)/10080, H[-1, 1, -1, 0, 1, -1, 1] -> 
  (-322560*li6half - 127680*li5half*ln2 - 13440*li4half*ln2^2 + 56*ln2^6 - 
    174720*s6 + 13440*li4half*z2 - 1680*ln2^4*z2 + 15624*ln2^2*z2^2 + 
    31008*z2^3 + 1120*ln2^3*z3 - 5880*ln2*z2*z3 + 67200*z3^2 + 173775*ln2*z5)/
   6720, H[-1, 1, -1, 0, 0, 1, 1] -> 
  (20160*li6half + 28*ln2^6 + 27720*s6 - 420*ln2^4*z2 - 3024*ln2^2*z2^2 + 
    6*z2^3 + 1260*ln2^3*z3 - 13860*ln2*z2*z3 - 7560*z3^2 - 4725*ln2*z5)/
   10080, H[-1, 1, -1, 0, 0, 0, 1] -> 
  (98*ln2^2*z2^2 + 159*z2^3 + 210*ln2*z2*z3 - 420*z3^2 - 1120*ln2*z5)/560, 
 H[-1, 1, -1, 0, 0, -1, 1] -> (16800*s6 + 210*ln2^2*z2^2 + 3538*z2^3 - 
    420*ln2^3*z3 - 420*ln2*z2*z3 - 6510*z3^2 - 30975*ln2*z5)/3360, 
 H[-1, 1, -1, 0, -1, 1, 1] -> (282240*li6half + 107520*li5half*ln2 + 
    13440*li4half*ln2^2 + 56*ln2^6 + 134400*s6 - 13440*li4half*z2 + 
    840*ln2^4*z2 - 15120*ln2^2*z2^2 - 30816*z2^3 + 1120*ln2^3*z3 - 
    840*ln2*z2*z3 - 50925*z3^2 - 102900*ln2*z5)/6720, 
 H[-1, 1, -1, 0, -1, 0, 1] -> (-161280*li6half - 80640*li5half*ln2 - 
    20160*li4half*ln2^2 - 392*ln2^6 - 90720*s6 + 1680*ln2^4*z2 + 
    6930*ln2^2*z2^2 + 18150*z2^3 - 3360*ln2^3*z3 + 8820*ln2*z2*z3 + 
    34650*z3^2 + 71505*ln2*z5)/10080, H[-1, 1, -1, 0, -1, -1, 1] -> 
  (-20160*li6half - 28*ln2^6 + 5040*s6 + 10080*li4half*z2 + 840*ln2^4*z2 + 
    1512*ln2^2*z2^2 + 2496*z2^3 - 3080*ln2^3*z3 + 9240*ln2*z2*z3 - 
    4305*z3^2 - 30555*ln2*z5)/6720, H[-1, 1, -1, -1, 1, 1, 1] -> 
  (-60480*li6half - 112*ln2^6 - 60480*s6 + 1680*ln2^4*z2 + 12096*ln2^2*z2^2 + 
    9528*z2^3 - 9660*ln2^3*z3 + 28980*ln2*z2*z3 - 3465*z3^2 + 945*ln2*z5)/
   20160, H[-1, 1, -1, -1, 1, 0, 1] -> 
  (-6720*li5half*ln2 - 6720*li4half*ln2^2 - 224*ln2^6 + 11760*s6 + 
    6720*li4half*z2 + 1260*ln2^4*z2 - 2016*ln2^2*z2^2 - 2904*z2^3 - 
    1820*ln2^3*z3 - 4200*ln2*z2*z3 + 3885*z3^2 + 3465*ln2*z5)/6720, 
 H[-1, 1, -1, -1, 1, -1, 1] -> (-8640*li5half*ln2 - 4320*li4half*ln2^2 - 
    104*ln2^6 + 4320*li4half*z2 + 480*ln2^4*z2 - 2808*ln2^2*z2^2 - 
    1728*z2^3 + 120*ln2^3*z3 - 360*ln2*z2*z3 + 90*z3^2 + 16605*ln2*z5)/2880, 
 H[-1, 1, -1, -1, 0, 1, 1] -> (-161280*li6half - 94080*li5half*ln2 - 
    20160*li4half*ln2^2 - 280*ln2^6 - 60480*s6 - 20160*li4half*z2 - 
    840*ln2^4*z2 + 8232*ln2^2*z2^2 + 27768*z2^3 + 1400*ln2^3*z3 - 
    42840*ln2*z2*z3 + 35805*z3^2 + 95970*ln2*z5)/13440, 
 H[-1, 1, -1, -1, 0, 0, 1] -> (40320*li6half + 40320*li5half*ln2 + 
    20160*li4half*ln2^2 + 560*ln2^6 + 5040*s6 - 30240*li4half*z2 - 
    3780*ln2^4*z2 + 12348*ln2^2*z2^2 + 10512*z2^3 + 3360*ln2^3*z3 - 
    8820*ln2*z2*z3 - 22365*z3^2 - 47565*ln2*z5)/20160, 
 H[-1, 1, -1, -1, 0, -1, 1] -> (-30240*li6half - 3360*li5half*ln2 + 
    5040*li4half*ln2^2 + 196*ln2^6 - 5040*s6 - 10080*li4half*z2 - 
    1400*ln2^4*z2 + 5292*ln2^2*z2^2 + 9024*z2^3 + 1610*ln2^3*z3 - 
    9660*ln2*z2*z3 + 4305*z3^2 - 15855*ln2*z5)/3360, 
 H[-1, 1, -1, -1, -1, 1, 1] -> (120960*li6half + 40320*li5half*ln2 + 
    10080*li4half*ln2^2 + 280*ln2^6 + 50400*s6 - 10080*li4half*z2 - 
    2520*ln2^4*z2 - 9576*ln2^2*z2^2 - 12864*z2^3 + 9660*ln2^3*z3 - 
    8820*ln2*z2*z3 - 19215*z3^2 - 17010*ln2*z5)/20160, 
 H[-1, 1, -1, -1, -1, 0, 1] -> (-10080*li6half - 6720*li5half*ln2 - 
    1680*li4half*ln2^2 - 28*ln2^6 - 6720*s6 + 140*ln2^4*z2 + 168*ln2^2*z2^2 + 
    1152*z2^3 - 560*ln2^3*z3 + 5040*ln2*z2*z3 + 1680*z3^2 - 105*ln2*z5)/3360, 
 H[-1, 1, -1, -1, -1, -1, 1] -> (-4200*li6half - 840*li5half*ln2 + 
    35*ln2^4*z2 + 504*ln2^2*z2^2 + 960*z2^3 - 280*ln2^3*z3 - 3360*ln2*z5)/
   840, H[-1, 0, 1, 1, 1, 1, 1] -> (-1152*li6half - 1152*li5half*ln2 - 
    576*li4half*ln2^2 - 16*ln2^6 + 576*li4half*z2 + 96*ln2^4*z2 - 
    144*ln2^2*z2^2 - 168*ln2^3*z3 + 504*ln2*z2*z3 - 441*z3^2 + 1152*ln2*z5)/
   1152, H[-1, 0, 1, 1, 1, 0, 1] -> 
  (-1200*s6 - 240*li4half*z2 - 10*ln2^4*z2 + 60*ln2^2*z2^2 - 104*z2^3 + 
    270*ln2*z2*z3 + 510*z3^2 + 885*ln2*z5)/480, 
 H[-1, 0, 1, 1, 1, -1, 1] -> (443520*li6half + 120960*li5half*ln2 - 
    392*ln2^6 + 131040*s6 + 10920*ln2^4*z2 - 27720*ln2^2*z2^2 - 69264*z2^3 + 
    5880*ln2^3*z3 + 17640*ln2*z2*z3 - 55755*z3^2 - 1260*ln2*z5)/40320, 
 H[-1, 0, 1, 1, 0, 1, 1] -> (10080*s6 - 2688*li4half*z2 - 112*ln2^4*z2 + 
    672*ln2^2*z2^2 + 2136*z2^3 - 7728*ln2*z2*z3 - 1365*z3^2 - 7434*ln2*z5)/
   2688, H[-1, 0, 1, 1, 0, 0, 1] -> (-6720*s6 - 1972*z2^3 + 6720*ln2*z2*z3 + 
    735*z3^2 + 9660*ln2*z5)/6720, H[-1, 0, 1, 1, 0, -1, 1] -> 
  (-192*li4half*z2 - 8*ln2^4*z2 + 48*ln2^2*z2^2 + 24*z2^3 - 240*ln2*z2*z3 + 
    75*z3^2 + 318*ln2*z5)/384, H[-1, 0, 1, 1, -1, 1, 1] -> 
  (-282240*li6half + 13440*li5half*ln2 + 26880*li4half*ln2^2 + 616*ln2^6 - 
    110880*s6 - 26880*li4half*z2 - 10920*ln2^4*z2 + 50904*ln2^2*z2^2 + 
    47472*z2^3 - 35280*ln2*z2*z3 + 52605*z3^2 - 52500*ln2*z5)/13440, 
 H[-1, 0, 1, 1, -1, 0, 1] -> (322560*li6half + 53760*li5half*ln2 + 
    141120*s6 + 20160*li4half*z2 - 1400*ln2^4*z2 - 40656*ln2^2*z2^2 - 
    49552*z2^3 + 21840*ln2*z2*z3 - 59745*z3^2 - 11760*ln2*z5)/13440, 
 H[-1, 0, 1, 1, -1, -1, 1] -> (63360*li6half + 5760*li5half*ln2 - 
    2880*li4half*ln2^2 - 80*ln2^6 + 24480*s6 + 2760*ln2^4*z2 - 
    8712*ln2^2*z2^2 - 9216*z2^3 + 1080*ln2*z2*z3 - 9495*z3^2 + 8550*ln2*z5)/
   5760, H[-1, 0, 1, 0, 1, 1, 1] -> 
  (80640*li6half + 80640*li5half*ln2 + 40320*li4half*ln2^2 + 1120*ln2^6 - 
    45360*s6 - 40320*li4half*z2 - 6720*ln2^4*z2 + 10080*ln2^2*z2^2 - 
    14796*z2^3 + 11760*ln2^3*z3 + 25200*ln2*z2*z3 + 22680*z3^2 - 
    22995*ln2*z5)/20160, H[-1, 0, 1, 0, 1, 0, 1] -> 
  (960*s6 + 480*li4half*z2 + 20*ln2^4*z2 - 120*ln2^2*z2^2 + 111*z2^3 - 
    60*ln2*z2*z3 - 480*z3^2 - 1380*ln2*z5)/240, 
 H[-1, 0, 1, 0, 1, -1, 1] -> (-322560*li6half - 80640*li5half*ln2 + 
    224*ln2^6 - 80640*s6 + 41832*ln2^2*z2^2 + 57600*z2^3 - 11760*ln2^3*z3 - 
    1260*ln2*z2*z3 + 33390*z3^2 - 113715*ln2*z5)/20160, 
 H[-1, 0, 1, 0, 0, 1, 1] -> (144*s6 + 384*li4half*z2 + 16*ln2^4*z2 - 
    96*ln2^2*z2^2 - 104*z2^3 + 144*ln2*z2*z3 - 129*z3^2 + 153*ln2*z5)/96, 
 H[-1, 0, 1, 0, 0, 0, 1] -> (-1344*s6 - 286*z2^3 + 693*z3^2 + 1260*ln2*z5)/
   336, H[-1, 0, 1, 0, 0, -1, 1] -> 
  (-2400*s6 + 960*li4half*z2 + 40*ln2^4*z2 - 240*ln2^2*z2^2 - 806*z2^3 + 
    900*ln2*z2*z3 + 540*z3^2 + 4815*ln2*z5)/480, 
 H[-1, 0, 1, 0, -1, 1, 1] -> (-35840*li5half*ln2 - 17920*li4half*ln2^2 - 
    448*ln2^6 + 17920*li4half*z2 + 2240*ln2^4*z2 - 13776*ln2^2*z2^2 - 
    5856*z2^3 + 14280*ln2*z2*z3 - 5425*z3^2 + 46340*ln2*z5)/4480, 
 H[-1, 0, 1, 0, -1, 0, 1] -> (-672*li4half*z2 - 28*ln2^4*z2 + 
    168*ln2^2*z2^2 + 225*z2^3 - 504*ln2*z2*z3 + 315*z3^2 - 672*ln2*z5)/336, 
 H[-1, 0, 1, 0, -1, -1, 1] -> (40320*li6half + 26880*li5half*ln2 + 
    6720*li4half*ln2^2 + 112*ln2^6 + 15120*s6 - 280*ln2^4*z2 - 5856*z2^3 + 
    1470*ln2*z2*z3 - 6195*z3^2 - 18480*ln2*z5)/3360, 
 H[-1, 0, 1, -1, 1, 1, 1] -> (17280*li6half - 4800*li5half*ln2 - 
    1440*li4half*ln2^2 + 4*ln2^6 + 6720*s6 + 1440*li4half*z2 + 380*ln2^4*z2 - 
    3660*ln2^2*z2^2 - 3132*z2^3 + 420*ln2^3*z3 + 1260*ln2*z2*z3 - 2205*z3^2 + 
    7410*ln2*z5)/960, H[-1, 0, 1, -1, 1, 0, 1] -> 
  (-80640*li6half - 13440*li5half*ln2 - 35280*s6 + 560*ln2^4*z2 + 
    6384*ln2^2*z2^2 + 11374*z2^3 + 525*ln2*z2*z3 + 11550*z3^2 + 5040*ln2*z5)/
   1680, H[-1, 0, 1, -1, 1, -1, 1] -> 
  (-322560*li6half + 60480*li5half*ln2 - 952*ln2^6 - 80640*s6 - 
    8400*ln2^4*z2 + 64008*ln2^2*z2^2 + 57600*z2^3 - 8820*ln2^3*z3 + 
    18900*ln2*z2*z3 + 25830*z3^2 - 243495*ln2*z5)/20160, 
 H[-1, 0, 1, -1, 0, 1, 1] -> (322560*li6half + 215040*li5half*ln2 + 
    53760*li4half*ln2^2 + 896*ln2^6 + 174720*s6 - 2240*ln2^4*z2 + 
    5040*ln2^2*z2^2 - 36480*z2^3 - 8400*ln2*z2*z3 - 62895*z3^2 - 
    229740*ln2*z5)/13440, H[-1, 0, 1, -1, 0, 0, 1] -> 
  (-2688*s6 + 1344*li4half*z2 + 56*ln2^4*z2 + 1176*ln2^2*z2^2 - 1118*z2^3 + 
    504*ln2*z2*z3 + 1260*z3^2 + 3591*ln2*z5)/672, 
 H[-1, 0, 1, -1, 0, -1, 1] -> (-161280*li6half - 53760*li5half*ln2 + 
    224*ln2^6 - 100800*s6 + 6720*li4half*z2 - 840*ln2^4*z2 + 
    9744*ln2^2*z2^2 + 13200*z2^3 + 3570*ln2*z2*z3 + 36960*z3^2 + 
    89985*ln2*z5)/3360, H[-1, 0, 1, -1, -1, 1, 1] -> 
  (-6720*li5half*ln2 + 56*ln2^6 - 560*ln2^4*z2 - 336*ln2^2*z2^2 + 120*z2^3 + 
    3465*ln2*z5)/6720, H[-1, 0, 1, -1, -1, 0, 1] -> 
  (322560*li6half + 53760*li5half*ln2 + 154560*s6 + 13440*li4half*z2 - 
    1680*ln2^4*z2 - 33936*ln2^2*z2^2 - 45848*z2^3 + 1680*ln2*z2*z3 - 
    58485*z3^2 - 20790*ln2*z5)/13440, H[-1, 0, 1, -1, -1, -1, 1] -> 
  (-40320*li6half - 20160*li5half*ln2 + 10080*li4half*ln2^2 + 532*ln2^6 - 
    95760*s6 + 1680*ln2^4*z2 - 504*ln2^2*z2^2 - 10368*z2^3 + 8820*ln2*z2*z3 + 
    33705*z3^2 + 145845*ln2*z5)/20160, H[-1, 0, 0, 1, 1, 1, 1] -> 
  (-40320*li6half - 40320*li5half*ln2 - 20160*li4half*ln2^2 - 560*ln2^6 + 
    10080*s6 + 20160*li4half*z2 + 3360*ln2^4*z2 - 5040*ln2^2*z2^2 + 
    6168*z2^3 - 5880*ln2^3*z3 - 2520*ln2*z2*z3 - 12915*z3^2 + 20790*ln2*z5)/
   20160, H[-1, 0, 0, 1, 1, 0, 1] -> 
  (-1680*s6 - 1680*li4half*z2 - 70*ln2^4*z2 + 420*ln2^2*z2^2 - 78*z2^3 - 
    1470*ln2*z2*z3 + 2100*z3^2 + 2415*ln2*z5)/1680, 
 H[-1, 0, 0, 1, 1, -1, 1] -> (40320*li6half + 40320*li5half*ln2 - 280*ln2^6 + 
    5040*s6 + 2520*ln2^4*z2 - 2772*ln2^2*z2^2 - 9984*z2^3 + 5880*ln2^3*z3 - 
    18900*ln2*z2*z3 + 2835*z3^2 + 37800*ln2*z5)/20160, 
 H[-1, 0, 0, 1, 0, 1, 1] -> (-4704*s6 - 2688*li4half*z2 - 112*ln2^4*z2 + 
    672*ln2^2*z2^2 + 184*z2^3 + 1680*ln2*z2*z3 + 1239*z3^2 + 1722*ln2*z5)/
   1344, H[-1, 0, 0, 1, 0, 0, 1] -> 
  (6720*s6 + 1084*z2^3 - 2835*z3^2 - 6300*ln2*z5)/1120, 
 H[-1, 0, 0, 1, 0, -1, 1] -> (2400*s6 - 480*li4half*z2 - 20*ln2^4*z2 + 
    120*ln2^2*z2^2 + 644*z2^3 - 540*ln2*z2*z3 - 765*z3^2 - 4335*ln2*z5)/480, 
 H[-1, 0, 0, 1, -1, 1, 1] -> (20160*li6half + 3360*li4half*ln2^2 + 
    168*ln2^6 - 2520*s6 - 3360*li4half*z2 - 1400*ln2^4*z2 + 168*ln2^2*z2^2 - 
    3218*z2^3 + 3360*ln2*z2*z3 - 105*z3^2 + 6300*ln2*z5)/3360, 
 H[-1, 0, 0, 1, -1, 0, 1] -> (20160*s6 + 3360*li4half*z2 + 140*ln2^4*z2 - 
    8400*ln2^2*z2^2 + 2076*z2^3 - 7560*z3^2 - 14595*ln2*z5)/3360, 
 H[-1, 0, 0, 1, -1, -1, 1] -> (40320*li6half - 13440*li4half*ln2^2 - 
    504*ln2^6 + 52080*s6 + 2520*ln2^4*z2 - 6636*ln2^2*z2^2 + 1240*z2^3 - 
    5460*ln2*z2*z3 - 18165*z3^2 - 45150*ln2*z5)/6720, 
 H[-1, 0, 0, 0, 1, 1, 1] -> (5040*s6 + 284*z2^3 - 3360*ln2*z2*z3 + 420*z3^2 - 
    3045*ln2*z5)/3360, H[-1, 0, 0, 0, 1, 0, 1] -> 
  (-3360*s6 - 239*z2^3 + 630*z3^2 + 3150*ln2*z5)/840, 
 H[-1, 0, 0, 0, 1, -1, 1] -> (-13440*s6 + 2520*ln2^2*z2^2 - 1964*z2^3 + 
    5040*ln2*z2*z3 + 3465*z3^2 + 9555*ln2*z5)/3360, 
 H[-1, 0, 0, 0, 0, 1, 1] -> (16*s6 - 15*ln2*z5)/16, 
 H[-1, 0, 0, 0, 0, 0, 1] -> (-31*z2^3)/140, H[-1, 0, 0, 0, 0, -1, 1] -> 
  (-28*z2^3 + 45*z3^2 + 150*ln2*z5)/160, H[-1, 0, 0, 0, -1, 1, 1] -> 
  (13440*s6 - 2520*ln2^2*z2^2 + 1504*z2^3 - 6300*ln2*z2*z3 - 2205*z3^2 - 
    6720*ln2*z5)/3360, H[-1, 0, 0, 0, -1, 0, 1] -> 
  (-6720*s6 - 626*z2^3 + 1575*z3^2 + 6720*ln2*z5)/1680, 
 H[-1, 0, 0, 0, -1, -1, 1] -> (-3360*s6 - 688*z2^3 + 672*ln2*z2*z3 + 
    1155*z3^2 + 5292*ln2*z5)/1344, H[-1, 0, 0, -1, 1, 1, 1] -> 
  (53760*li5half*ln2 + 13440*li4half*ln2^2 + 112*ln2^6 + 33600*s6 - 
    13440*li4half*z2 + 560*ln2^4*z2 + 7896*ln2^2*z2^2 + 9112*z2^3 - 
    21840*ln2*z2*z3 - 5775*z3^2 - 78960*ln2*z5)/13440, 
 H[-1, 0, 0, -1, 1, 0, 1] -> (-6720*s6 + 2520*ln2^2*z2^2 - 1046*z2^3 + 
    2520*z3^2 + 5985*ln2*z5)/1120, H[-1, 0, 0, -1, 1, -1, 1] -> 
  (-13440*li5half*ln2 + 112*ln2^6 - 16800*s6 - 1120*ln2^4*z2 - 
    672*ln2^2*z2^2 - 3160*z2^3 + 1680*ln2*z2*z3 + 5880*z3^2 + 36015*ln2*z5)/
   3360, H[-1, 0, 0, -1, 0, 1, 1] -> 
  (-3360*s6 - 424*z2^3 + 3024*ln2*z2*z3 + 315*z3^2 + 882*ln2*z5)/1344, 
 H[-1, 0, 0, -1, 0, 0, 1] -> (1344*s6 + 184*z2^3 - 441*z3^2 - 1344*ln2*z5)/
   224, H[-1, 0, 0, -1, 0, -1, 1] -> 
  (3360*s6 + 674*z2^3 - 420*ln2*z2*z3 - 1155*z3^2 - 5649*ln2*z5)/672, 
 H[-1, 0, 0, -1, -1, 1, 1] -> (-322560*li6half + 80640*li5half*ln2 + 
    40320*li4half*ln2^2 + 560*ln2^6 - 161280*s6 - 40320*li4half*z2 + 
    1680*ln2^4*z2 + 57960*ln2^2*z2^2 + 50712*z2^3 - 11760*ln2^3*z3 - 
    5040*ln2*z2*z3 + 66465*z3^2 - 95130*ln2*z5)/40320, 
 H[-1, 0, 0, -1, -1, 0, 1] -> (2240*s6 + 452*z2^3 - 1960*ln2*z2*z3 - 
    595*z3^2 - 1120*ln2*z5)/2240, H[-1, 0, 0, -1, -1, -1, 1] -> 
  (-80640*li6half - 40320*li5half*ln2 + 224*ln2^6 - 5040*s6 - 1680*ln2^4*z2 + 
    16512*z2^3 + 5880*ln2^3*z3 - 10080*ln2*z2*z3 + 4410*z3^2 - 11025*ln2*z5)/
   20160, H[-1, 0, -1, 1, 1, 1, 1] -> 
  (-20160*li6half + 20160*li5half*ln2 + 2520*li4half*ln2^2 - 91*ln2^6 - 
    5040*s6 - 2520*li4half*z2 + 105*ln2^4*z2 + 4851*ln2^2*z2^2 + 5031*z2^3 - 
    2205*ln2^3*z3 + 2205*ln2*z2*z3 - 2520*z3^2 - 24570*ln2*z5)/5040, 
 H[-1, 0, -1, 1, 1, 0, 1] -> (161280*li6half + 26880*li5half*ln2 + 60480*s6 - 
    6720*li4half*z2 - 1400*ln2^4*z2 - 6048*ln2^2*z2^2 - 22604*z2^3 - 
    8400*ln2*z2*z3 - 13965*z3^2 - 5880*ln2*z5)/6720, 
 H[-1, 0, -1, 1, 1, -1, 1] -> (-5760*li6half - 5760*li5half*ln2 + 40*ln2^6 - 
    5760*s6 - 360*ln2^4*z2 - 144*ln2^2*z2^2 + 48*z2^3 + 420*ln2^3*z3 - 
    1260*ln2*z2*z3 + 2475*z3^2 + 12120*ln2*z5)/960, 
 H[-1, 0, -1, 1, 0, 1, 1] -> (-80640*li6half - 53760*li5half*ln2 - 
    13440*li4half*ln2^2 - 224*ln2^6 - 38640*s6 + 560*ln2^4*z2 - 
    1260*ln2^2*z2^2 + 9840*z2^3 - 420*ln2*z2*z3 + 14595*z3^2 + 53235*ln2*z5)/
   3360, H[-1, 0, -1, 1, 0, 0, 1] -> 
  (2688*s6 - 1344*li4half*z2 - 56*ln2^4*z2 - 1176*ln2^2*z2^2 + 970*z2^3 - 
    252*ln2*z2*z3 - 1197*z3^2 - 2919*ln2*z5)/672, 
 H[-1, 0, -1, 1, 0, -1, 1] -> (161280*li6half + 53760*li5half*ln2 - 
    224*ln2^6 + 100800*s6 - 6720*li4half*z2 + 840*ln2^4*z2 - 
    9744*ln2^2*z2^2 - 13452*z2^3 - 5460*ln2*z2*z3 - 36435*z3^2 - 
    85785*ln2*z5)/3360, H[-1, 0, -1, 1, -1, 1, 1] -> 
  (443520*li6half + 616*ln2^6 + 201600*s6 + 10920*ln2^4*z2 - 
    64008*ln2^2*z2^2 - 57528*z2^3 + 7560*ln2*z2*z3 - 77805*z3^2 + 
    20160*ln2*z5)/20160, H[-1, 0, -1, 1, -1, 0, 1] -> 
  (-20160*li6half - 3360*li5half*ln2 - 8820*s6 + 140*ln2^4*z2 + 
    1596*ln2^2*z2^2 + 2678*z2^3 - 210*ln2*z2*z3 + 3360*z3^2 + 1995*ln2*z5)/
   420, H[-1, 0, -1, 1, -1, -1, 1] -> 
  (-80640*li6half - 13440*li5half*ln2 - 10080*li4half*ln2^2 - 420*ln2^6 - 
    5040*s6 - 1960*ln2^4*z2 + 9408*ln2^2*z2^2 + 16512*z2^3 - 8820*ln2*z2*z3 + 
    4095*z3^2 - 36015*ln2*z5)/6720, H[-1, 0, -1, 0, 1, 1, 1] -> 
  (161280*li6half + 161280*li5half*ln2 + 80640*li4half*ln2^2 + 2240*ln2^6 + 
    40320*s6 - 80640*li4half*z2 - 13440*ln2^4*z2 + 20160*ln2^2*z2^2 - 
    12528*z2^3 + 23520*ln2^3*z3 - 42840*ln2*z2*z3 + 33075*z3^2 - 
    129780*ln2*z5)/40320, H[-1, 0, -1, 0, 1, 0, 1] -> 
  (3360*li4half*z2 + 140*ln2^4*z2 - 840*ln2^2*z2^2 - 291*z2^3 + 
    4200*ln2*z2*z3 - 2835*z3^2 - 3360*ln2*z5)/1680, 
 H[-1, 0, -1, 0, 1, -1, 1] -> (-161280*li6half - 40320*li5half*ln2 + 
    112*ln2^6 - 80640*s6 + 17136*ln2^2*z2^2 + 21888*z2^3 - 5880*ln2^3*z3 + 
    25200*ln2*z2*z3 + 24255*z3^2 - 16380*ln2*z5)/10080, 
 H[-1, 0, -1, 0, 0, 1, 1] -> (480*s6 + 768*li4half*z2 + 32*ln2^4*z2 - 
    192*ln2^2*z2^2 - 176*z2^3 + 168*ln2*z2*z3 - 261*z3^2 + 66*ln2*z5)/192, 
 H[-1, 0, -1, 0, 0, 0, 1] -> (-1680*s6 - 391*z2^3 + 945*z3^2 + 1680*ln2*z5)/
   420, H[-1, 0, -1, 0, 0, -1, 1] -> 
  (-3360*s6 + 1344*li4half*z2 + 56*ln2^4*z2 - 336*ln2^2*z2^2 - 1178*z2^3 + 
    672*ln2*z2*z3 + 1029*z3^2 + 7581*ln2*z5)/672, 
 H[-1, 0, -1, 0, -1, 1, 1] -> (-8960*li5half*ln2 - 4480*li4half*ln2^2 - 
    112*ln2^6 + 4480*s6 + 4480*li4half*z2 + 560*ln2^4*z2 - 3024*ln2^2*z2^2 - 
    776*z2^3 + 140*ln2*z2*z3 - 1855*z3^2 + 7945*ln2*z5)/1120, 
 H[-1, 0, -1, 0, -1, 0, 1] -> (-6720*s6 - 3360*li4half*z2 - 140*ln2^4*z2 + 
    840*ln2^2*z2^2 + 9*z2^3 + 1680*ln2*z2*z3 + 2415*z3^2 + 3360*ln2*z5)/1680, 
 H[-1, 0, -1, 0, -1, -1, 1] -> (80640*li6half + 53760*li5half*ln2 + 
    13440*li4half*ln2^2 + 224*ln2^6 + 5040*s6 - 560*ln2^4*z2 - 16512*z2^3 + 
    10080*ln2*z2*z3 - 4515*z3^2 - 2100*ln2*z5)/6720, 
 H[-1, 0, -1, -1, 1, 1, 1] -> (-221760*li6half + 80640*li5half*ln2 + 
    30240*li4half*ln2^2 + 280*ln2^6 - 85680*s6 - 30240*li4half*z2 - 
    7560*ln2^4*z2 + 42084*ln2^2*z2^2 + 34488*z2^3 + 8820*ln2^3*z3 - 
    30240*ln2*z2*z3 + 56385*z3^2 - 87255*ln2*z5)/20160, 
 H[-1, 0, -1, -1, 1, 0, 1] -> (161280*li6half + 26880*li5half*ln2 + 
    53760*s6 + 3360*li4half*z2 - 980*ln2^4*z2 - 11088*ln2^2*z2^2 - 
    22528*z2^3 + 14280*ln2*z2*z3 - 30345*z3^2 - 10395*ln2*z5)/6720, 
 H[-1, 0, -1, -1, 1, -1, 1] -> (30240*li6half - 6720*li5half*ln2 + 98*ln2^6 + 
    5040*s6 + 1330*ln2^4*z2 - 4872*ln2^2*z2^2 - 4992*z2^3 - 1470*ln2^3*z3 + 
    8820*ln2*z2*z3 - 4095*z3^2 + 6405*ln2*z5)/3360, 
 H[-1, 0, -1, -1, 0, 1, 1] -> (672*s6 + 2688*li4half*z2 + 112*ln2^4*z2 - 
    672*ln2^2*z2^2 - 696*z2^3 + 2072*ln2*z2*z3 - 917*z3^2 - 742*ln2*z5)/896, 
 H[-1, 0, -1, -1, 0, 0, 1] -> (3360*s6 - 704*z2^3 - 1680*ln2*z2*z3 + 
    2625*z3^2 - 1680*ln2*z5)/3360, H[-1, 0, -1, -1, 0, -1, 1] -> 
  (480*li4half*z2 + 20*ln2^4*z2 - 120*ln2^2*z2^2 - 192*z2^3 - 40*ln2*z2*z3 + 
    10*z3^2 + 885*ln2*z5)/320, H[-1, 0, -1, -1, -1, 1, 1] -> 
  (-10080*li6half - 6720*li5half*ln2 - 6720*li4half*ln2^2 - 238*ln2^6 + 
    6720*s6 + 6720*li4half*z2 + 770*ln2^4*z2 - 1428*ln2^2*z2^2 + 768*z2^3 - 
    980*ln2^3*z3 - 1470*ln2*z2*z3 - 1785*z3^2 - 105*ln2*z5)/3360, 
 H[-1, 0, -1, -1, -1, 0, 1] -> (-2400*s6 - 1440*li4half*z2 - 60*ln2^4*z2 + 
    360*ln2^2*z2^2 + 64*z2^3 - 360*ln2*z2*z3 + 885*z3^2 + 2880*ln2*z5)/960, 
 H[-1, 0, -1, -1, -1, -1, 1] -> (25200*li6half + 20160*li5half*ln2 + 
    7560*li4half*ln2^2 + 182*ln2^6 - 735*ln2^4*z2 - 5760*z2^3 + 
    1470*ln2^3*z3 + 5040*ln2*z5)/5040, H[-1, -1, 1, 1, 1, 1, 1] -> 
  (480*li6half + 240*li5half*ln2 - ln2^6 + 120*s6 + 10*ln2^4*z2 + 
    6*ln2^2*z2^2 - 48*z2^3 - 40*ln2^3*z3 + 120*ln2*z2*z3 - 150*z3^2 - 
    240*ln2*z5)/240, H[-1, -1, 1, 1, 1, 0, 1] -> 
  (50400*li6half + 10080*li5half*ln2 - 5040*li4half*ln2^2 - 224*ln2^6 + 
    17640*s6 - 5040*li4half*z2 + 1050*ln2^4*z2 - 3150*ln2^2*z2^2 - 
    7920*z2^3 - 1680*ln2^3*z3 - 5040*ln2*z2*z3 - 945*z3^2 + 9450*ln2*z5)/
   10080, H[-1, -1, 1, 1, 1, -1, 1] -> 
  (-17280*li6half - 11520*li5half*ln2 - 2880*li4half*ln2^2 - 56*ln2^6 - 
    17280*s6 + 120*ln2^4*z2 - 144*ln2^2*z2^2 - 96*z2^3 + 120*ln2^3*z3 - 
    2880*ln2*z2*z3 + 7515*z3^2 + 33660*ln2*z5)/5760, 
 H[-1, -1, 1, 1, 0, 1, 1] -> (-161280*li6half - 80640*li5half*ln2 + 
    448*ln2^6 - 25200*s6 + 30240*li4half*z2 - 1260*ln2^4*z2 - 
    6804*ln2^2*z2^2 + 20808*z2^3 + 9660*ln2^3*z3 - 2520*ln2*z2*z3 + 
    6615*z3^2 + 22050*ln2*z5)/20160, H[-1, -1, 1, 1, 0, 0, 1] -> 
  (-322560*li6half - 161280*li5half*ln2 - 40320*li4half*ln2^2 - 784*ln2^6 - 
    221760*s6 - 40320*li4half*z2 + 1680*ln2^4*z2 + 25200*ln2^2*z2^2 + 
    44640*z2^3 - 6720*ln2^3*z3 - 2520*ln2*z2*z3 + 84105*z3^2 + 192780*ln2*z5)/
   40320, H[-1, -1, 1, 1, 0, -1, 1] -> 
  (-63360*li6half - 23040*li5half*ln2 + 104*ln2^6 - 24480*s6 - 480*ln2^4*z2 + 
    3456*ln2^2*z2^2 + 9360*z2^3 + 600*ln2^3*z3 - 360*ln2*z2*z3 + 9045*z3^2 + 
    7650*ln2*z5)/5760, H[-1, -1, 1, 1, -1, 1, 1] -> 
  (60480*li6half + 60480*li5half*ln2 + 30240*li4half*ln2^2 + 812*ln2^6 + 
    60480*s6 - 3780*ln2^4*z2 - 504*ln2^2*z2^2 + 144*z2^3 + 9240*ln2^3*z3 - 
    26145*z3^2 - 116235*ln2*z5)/20160, H[-1, -1, 1, 1, -1, 0, 1] -> 
  (-161280*li6half - 80640*li5half*ln2 - 20160*li4half*ln2^2 - 392*ln2^6 - 
    110880*s6 + 1260*ln2^4*z2 + 8820*ln2^2*z2^2 + 12996*z2^3 - 
    5460*ln2^3*z3 + 1260*ln2*z2*z3 + 43470*z3^2 + 127575*ln2*z5)/20160, 
 H[-1, -1, 1, 1, -1, -1, 1] -> (8*ln2^6 + 144*ln2^2*z2^2 - 120*ln2^3*z3 + 
    45*z3^2 - 270*ln2*z5)/5760, H[-1, -1, 1, 0, 1, 1, 1] -> 
  (40320*li6half + 56*ln2^6 - 40320*s6 - 60480*li4half*z2 - 3360*ln2^4*z2 + 
    12600*ln2^2*z2^2 - 11736*z2^3 - 840*ln2^3*z3 - 52920*ln2*z2*z3 + 
    70875*z3^2 + 109620*ln2*z5)/40320, H[-1, -1, 1, 0, 1, 0, 1] -> 
  (26880*li5half*ln2 + 13440*li4half*ln2^2 + 336*ln2^6 + 16800*s6 + 
    13440*li4half*z2 - 560*ln2^4*z2 + 924*ln2^2*z2^2 + 1520*z2^3 + 
    2240*ln2^3*z3 + 9660*ln2*z2*z3 - 16905*z3^2 - 54180*ln2*z5)/6720, 
 H[-1, -1, 1, 0, 1, -1, 1] -> (28800*li6half + 15360*li5half*ln2 + 
    1920*li4half*ln2^2 - 8*ln2^6 + 16800*s6 - 40*ln2^4*z2 - 552*ln2^2*z2^2 - 
    2880*z2^3 - 260*ln2^3*z3 + 1440*ln2*z2*z3 - 6735*z3^2 - 21675*ln2*z5)/
   960, H[-1, -1, 1, 0, 0, 1, 1] -> (322560*li6half + 161280*li5half*ln2 + 
    40320*li4half*ln2^2 + 784*ln2^6 + 120960*s6 + 40320*li4half*z2 - 
    1680*ln2^4*z2 - 22176*ln2^2*z2^2 - 56712*z2^3 + 5040*ln2^3*z3 + 
    65520*ln2*z2*z3 - 65205*z3^2 - 136080*ln2*z5)/40320, 
 H[-1, -1, 1, 0, 0, 0, 1] -> (-3360*s6 + 3360*li4half*z2 + 140*ln2^4*z2 - 
    252*ln2^2*z2^2 - 2952*z2^3 + 1260*ln2*z2*z3 + 3150*z3^2 + 9555*ln2*z5)/
   3360, H[-1, -1, 1, 0, 0, -1, 1] -> 
  (-40320*li6half - 26880*li5half*ln2 - 6720*li4half*ln2^2 - 112*ln2^6 - 
    52080*s6 + 6720*li4half*z2 + 560*ln2^4*z2 - 1260*ln2^2*z2^2 - 4180*z2^3 - 
    840*ln2^3*z3 + 5460*ln2*z2*z3 + 18795*z3^2 + 87780*ln2*z5)/6720, 
 H[-1, -1, 1, 0, -1, 1, 1] -> (-23040*li6half - 12480*li5half*ln2 - 
    1920*li4half*ln2^2 - 8*ln2^6 - 12480*s6 + 160*ln2^4*z2 + 624*ln2^2*z2^2 + 
    2568*z2^3 - 260*ln2^3*z3 - 180*ln2*z2*z3 + 4875*z3^2 + 13665*ln2*z5)/960, 
 H[-1, -1, 1, 0, -1, 0, 1] -> (53760*li5half*ln2 + 26880*li4half*ln2^2 + 
    672*ln2^6 + 20160*s6 + 26880*li4half*z2 - 1120*ln2^4*z2 + 
    2520*ln2^2*z2^2 - 5632*z2^3 + 3360*ln2^3*z3 + 4200*ln2*z2*z3 - 
    10605*z3^2 - 54390*ln2*z5)/13440, H[-1, -1, 1, 0, -1, -1, 1] -> 
  (-60480*li6half - 20160*li5half*ln2 + 84*ln2^6 - 50400*s6 - 420*ln2^4*z2 + 
    4032*ln2^2*z2^2 + 3072*z2^3 - 140*ln2^3*z3 + 19005*z3^2 + 57330*ln2*z5)/
   6720, H[-1, -1, 1, -1, 1, 1, 1] -> 
  (-17280*li5half*ln2 - 8640*li4half*ln2^2 - 224*ln2^6 + 720*ln2^4*z2 - 
    3456*ln2^2*z2^2 - 2784*z2^3 + 120*ln2^3*z3 - 8640*ln2*z2*z3 + 8595*z3^2 + 
    33750*ln2*z5)/5760, H[-1, -1, 1, -1, 1, 0, 1] -> 
  (-161280*li6half - 60480*li5half*ln2 + 280*ln2^6 - 75600*s6 - 
    2100*ln2^4*z2 + 8820*ln2^2*z2^2 + 30924*z2^3 + 3360*ln2^3*z3 + 
    27720*ln2*z2*z3 - 2835*z3^2 - 9135*ln2*z5)/20160, 
 H[-1, -1, 1, -1, 1, -1, 1] -> (-60480*li6half - 56*ln2^6 + 15120*s6 + 
    1260*ln2^4*z2 + 12096*ln2^2*z2^2 + 19584*z2^3 - 9240*ln2^3*z3 + 
    30240*ln2*z2*z3 - 13545*z3^2 - 147420*ln2*z5)/20160, 
 H[-1, -1, 1, -1, 0, 1, 1] -> (100800*li6half + 73920*li5half*ln2 + 
    23520*li4half*ln2^2 + 504*ln2^6 + 50400*s6 + 10080*li4half*z2 - 
    1680*ln2^4*z2 - 2772*ln2^2*z2^2 - 13980*z2^3 + 3640*ln2^3*z3 + 
    18480*ln2*z2*z3 - 26040*z3^2 - 88725*ln2*z5)/6720, 
 H[-1, -1, 1, -1, 0, 0, 1] -> (40320*li6half + 13440*li5half*ln2 - 56*ln2^6 + 
    11760*s6 + 10080*li4half*z2 + 700*ln2^4*z2 - 5040*ln2^2*z2^2 - 
    13092*z2^3 - 840*ln2^3*z3 + 3360*ln2*z2*z3 + 2415*z3^2 + 16695*ln2*z5)/
   6720, H[-1, -1, 1, -1, 0, -1, 1] -> 
  (80640*li6half + 33600*li5half*ln2 + 3360*li4half*ln2^2 - 28*ln2^6 + 
    5040*s6 + 10080*li4half*z2 + 560*ln2^4*z2 - 6552*ln2^2*z2^2 - 
    20544*z2^3 + 280*ln2^3*z3 + 9240*ln2*z2*z3 - 4305*z3^2 + 36645*ln2*z5)/
   6720, H[-1, -1, 1, -1, -1, 1, 1] -> 
  (-362880*li6half - 120960*li5half*ln2 + 560*ln2^6 - 151200*s6 - 
    2520*ln2^4*z2 + 24192*ln2^2*z2^2 + 50688*z2^3 - 840*ln2^3*z3 + 
    57015*z3^2 + 51030*ln2*z5)/40320, H[-1, -1, 1, -1, -1, 0, 1] -> 
  (12096*li6half + 5376*li5half*ln2 + 672*li4half*ln2^2 + 5040*s6 + 
    2016*li4half*z2 + 140*ln2^4*z2 - 1092*ln2^2*z2^2 - 2496*z2^3 - 
    28*ln2^3*z3 - 84*ln2*z2*z3 - 1869*z3^2 + 609*ln2*z5)/1344, 
 H[-1, -1, 1, -1, -1, -1, 1] -> (2100*li6half + 840*li5half*ln2 + 
    105*li4half*ln2^2 - 126*ln2^2*z2^2 - 480*z2^3 + 35*ln2^3*z3 + 
    1260*ln2*z5)/210, H[-1, -1, 0, 1, 1, 1, 1] -> 
  (-11520*li6half - 5760*li5half*ln2 + 32*ln2^6 - 2880*s6 + 2880*li4half*z2 - 
    120*ln2^4*z2 + 432*ln2^2*z2^2 + 1296*z2^3 + 840*ln2^3*z3 + 765*z3^2 + 
    720*ln2*z5)/5760, H[-1, -1, 0, 1, 1, 0, 1] -> 
  (3360*s6 - 1120*ln2^2*z2^2 + 488*z2^3 - 280*ln2*z2*z3 - 1225*z3^2 - 
    2800*ln2*z5)/4480, H[-1, -1, 0, 1, 1, -1, 1] -> 
  (-10080*li5half*ln2 - 3360*li4half*ln2^2 - 56*ln2^6 + 2520*s6 + 
    1260*ln2^4*z2 - 2898*ln2^2*z2^2 + 492*z2^3 - 945*z3^2 + 6090*ln2*z5)/
   3360, H[-1, -1, 0, 1, 0, 1, 1] -> 
  (322560*li6half + 161280*li5half*ln2 - 896*ln2^6 + 50400*s6 - 
    80640*li4half*z2 + 3360*ln2^4*z2 + 26208*ln2^2*z2^2 - 35568*z2^3 - 
    23520*ln2^3*z3 - 25200*ln2*z2*z3 - 2205*z3^2 - 41580*ln2*z5)/40320, 
 H[-1, -1, 0, 1, 0, 0, 1] -> (16800*s6 + 4032*ln2^2*z2^2 + 4132*z2^3 - 
    5040*ln2*z2*z3 - 7245*z3^2 - 28140*ln2*z5)/6720, 
 H[-1, -1, 0, 1, 0, -1, 1] -> (-80640*li6half - 26880*li5half*ln2 + 
    112*ln2^6 - 30240*s6 - 560*ln2^4*z2 + 5964*ln2^2*z2^2 + 11964*z2^3 - 
    2100*ln2*z2*z3 + 11865*z3^2 + 6930*ln2*z5)/6720, 
 H[-1, -1, 0, 1, -1, 1, 1] -> (-40320*li6half + 67200*li5half*ln2 - 
    616*ln2^6 - 40320*s6 - 3640*ln2^4*z2 + 24360*ln2^2*z2^2 - 264*z2^3 - 
    5880*ln2^3*z3 + 17325*z3^2 - 21210*ln2*z5)/13440, 
 H[-1, -1, 0, 1, -1, 0, 1] -> (322560*li6half - 26880*li4half*ln2^2 - 
    672*ln2^6 + 188160*s6 - 26880*li4half*z2 - 1120*ln2^4*z2 - 
    34440*ln2^2*z2^2 - 23400*z2^3 - 10920*ln2*z2*z3 - 69195*z3^2 - 
    76230*ln2*z5)/13440, H[-1, -1, 0, 1, -1, -1, 1] -> 
  (30240*li6half - 3360*li5half*ln2 - 3360*li4half*ln2^2 - 70*ln2^6 + 
    25200*s6 + 1190*ln2^4*z2 - 5124*ln2^2*z2^2 - 1536*z2^3 - 9450*z3^2 - 
    15855*ln2*z5)/3360, H[-1, -1, 0, 0, 1, 1, 1] -> 
  (-10080*li6half - 6720*li5half*ln2 - 1680*li4half*ln2^2 - 28*ln2^6 - 
    2520*s6 + 3360*li4half*z2 + 210*ln2^4*z2 - 756*ln2^2*z2^2 + 912*z2^3 + 
    1470*ln2*z2*z3 - 420*z3^2 + 4095*ln2*z5)/1680, 
 H[-1, -1, 0, 0, 1, 0, 1] -> (-16800*s6 - 6720*li4half*z2 - 280*ln2^4*z2 - 
    2352*ln2^2*z2^2 - 2864*z2^3 - 3360*ln2*z2*z3 + 11025*z3^2 + 34860*ln2*z5)/
   6720, H[-1, -1, 0, 0, 1, -1, 1] -> 
  (2880*li6half + 5760*li5half*ln2 + 1440*li4half*ln2^2 + 16*ln2^6 - 
    1800*s6 + 60*ln2^4*z2 + 342*ln2^2*z2^2 - 1152*z2^3 + 420*ln2^3*z3 - 
    990*ln2*z2*z3 + 900*z3^2 + 3465*ln2*z5)/1440, 
 H[-1, -1, 0, 0, 0, 1, 1] -> (-6720*li4half*z2 - 280*ln2^4*z2 + 
    2352*ln2^2*z2^2 + 2300*z2^3 - 3360*ln2*z2*z3 + 1260*z3^2 - 6195*ln2*z5)/
   3360, H[-1, -1, 0, 0, 0, 0, 1] -> 
  (140*s6 + 46*z2^3 - 105*z3^2 - 140*ln2*z5)/140, 
 H[-1, -1, 0, 0, 0, -1, 1] -> (16800*s6 - 6720*li4half*z2 - 280*ln2^4*z2 + 
    2856*ln2^2*z2^2 + 5960*z2^3 - 3360*ln2*z2*z3 - 5145*z3^2 - 39690*ln2*z5)/
   6720, H[-1, -1, 0, 0, -1, 1, 1] -> 
  (322560*li6half + 80640*li5half*ln2 + 40320*li4half*ln2^2 + 1456*ln2^6 + 
    181440*s6 - 40320*li4half*z2 - 11760*ln2^4*z2 - 13104*ln2^2*z2^2 - 
    17784*z2^3 + 11760*ln2^3*z3 - 7560*ln2*z2*z3 - 68355*z3^2 - 
    195930*ln2*z5)/40320, H[-1, -1, 0, 0, -1, 0, 1] -> 
  (-5040*s6 + 3360*li4half*z2 + 140*ln2^4*z2 - 2604*ln2^2*z2^2 - 2372*z2^3 + 
    1680*ln2*z2*z3 + 1365*z3^2 + 15120*ln2*z5)/3360, 
 H[-1, -1, 0, 0, -1, -1, 1] -> (-3840*li5half*ln2 - 1920*li4half*ln2^2 - 
    48*ln2^6 + 160*ln2^4*z2 - 720*ln2^2*z2^2 + 15*z3^2 + 3750*ln2*z5)/1920, 
 H[-1, -1, 0, -1, 1, 1, 1] -> (20160*li6half - 26880*li5half*ln2 - 
    3360*li4half*ln2^2 + 112*ln2^6 + 15120*s6 + 10080*li4half*z2 + 
    1120*ln2^4*z2 - 9324*ln2^2*z2^2 - 2076*z2^3 + 8820*ln2*z2*z3 - 
    14490*z3^2 + 8925*ln2*z5)/6720, H[-1, -1, 0, -1, 1, 0, 1] -> 
  (-161280*li6half + 13440*li4half*ln2^2 + 336*ln2^6 - 84000*s6 + 
    3360*li4half*z2 + 140*ln2^4*z2 + 18060*ln2^2*z2^2 + 14556*z2^3 - 
    5460*ln2*z2*z3 + 39900*z3^2 + 26985*ln2*z5)/6720, 
 H[-1, -1, 0, -1, 1, -1, 1] -> (20160*li6half + 53760*li5half*ln2 + 
    10080*li4half*ln2^2 - 5040*s6 - 3500*ln2^4*z2 + 8064*ln2^2*z2^2 - 
    6528*z2^3 + 2940*ln2^3*z3 - 8820*ln2*z2*z3 + 4095*z3^2 - 2415*ln2*z5)/
   6720, H[-1, -1, 0, -1, 0, 1, 1] -> 
  (46080*li6half + 23040*li5half*ln2 - 128*ln2^6 + 7200*s6 - 
    28800*li4half*z2 - 240*ln2^4*z2 + 7416*ln2^2*z2^2 + 216*z2^3 - 
    3360*ln2^3*z3 - 16560*ln2*z2*z3 + 3735*z3^2 - 8010*ln2*z5)/5760, 
 H[-1, -1, 0, -1, 0, 0, 1] -> (3360*s6 + 504*ln2^2*z2^2 + 1040*z2^3 - 
    960*ln2*z2*z3 - 2175*z3^2 - 5280*ln2*z5)/960, 
 H[-1, -1, 0, -1, 0, -1, 1] -> (-80640*li6half - 26880*li5half*ln2 + 
    112*ln2^6 - 5040*s6 - 10080*li4half*z2 - 980*ln2^4*z2 + 7980*ln2^2*z2^2 + 
    20544*z2^3 - 9660*ln2*z2*z3 + 4305*z3^2 - 42735*ln2*z5)/6720, 
 H[-1, -1, 0, -1, -1, 1, 1] -> (1920*li5half*ln2 + 2400*li4half*ln2^2 + 
    84*ln2^6 - 3600*s6 - 2880*li4half*z2 - 200*ln2^4*z2 + 1068*ln2^2*z2^2 + 
    384*z2^3 + 1350*z3^2 - 345*ln2*z5)/960, H[-1, -1, 0, -1, -1, 0, 1] -> 
  (2400*s6 + 960*li4half*z2 + 40*ln2^4*z2 - 280*ln2^2*z2^2 + 128*z2^3 - 
    40*ln2*z2*z3 - 895*z3^2 - 2880*ln2*z5)/640, 
 H[-1, -1, 0, -1, -1, -1, 1] -> (-50400*li6half - 30240*li5half*ln2 - 
    7560*li4half*ln2^2 - 133*ln2^6 + 420*ln2^4*z2 + 1008*ln2^2*z2^2 + 
    11520*z2^3 - 735*ln2^3*z3 - 20160*ln2*z5)/5040, 
 H[-1, -1, -1, 1, 1, 1, 1] -> (10080*li5half*ln2 + 5040*li4half*ln2^2 + 
    112*ln2^6 - 420*ln2^4*z2 + 2016*ln2^2*z2^2 + 1656*z2^3 + 5040*ln2*z2*z3 - 
    5040*z3^2 - 19845*ln2*z5)/10080, H[-1, -1, -1, 1, 1, 0, 1] -> 
  (120960*li6half + 67200*li5half*ln2 + 13440*li4half*ln2^2 + 168*ln2^6 + 
    60480*s6 - 560*ln2^4*z2 - 2688*ln2^2*z2^2 - 17040*z2^3 + 280*ln2^3*z3 - 
    5880*ln2*z2*z3 - 16065*z3^2 - 51660*ln2*z5)/13440, 
 H[-1, -1, -1, 1, 1, -1, 1] -> (20160*li6half + 56*ln2^6 - 5040*s6 - 
    420*ln2^4*z2 - 4032*ln2^2*z2^2 - 6528*z2^3 + 2940*ln2^3*z3 - 
    10080*ln2*z2*z3 + 4410*z3^2 + 49455*ln2*z5)/20160, 
 H[-1, -1, -1, 1, 0, 1, 1] -> (-35280*li6half - 30240*li5half*ln2 - 
    12600*li4half*ln2^2 - 322*ln2^6 - 20160*s6 - 2520*li4half*z2 + 
    1050*ln2^4*z2 + 441*ln2^2*z2^2 + 4041*z2^3 - 2415*ln2^3*z3 - 
    4410*ln2*z2*z3 + 9765*z3^2 + 38430*ln2*z5)/5040, 
 H[-1, -1, -1, 1, 0, 0, 1] -> (-26880*li5half*ln2 - 13440*li4half*ln2^2 - 
    336*ln2^6 + 20160*s6 - 20160*li4half*z2 + 280*ln2^4*z2 + 13392*z2^3 - 
    1680*ln2^3*z3 - 10920*ln2*z2*z3 - 10605*z3^2 - 25200*ln2*z5)/13440, 
 H[-1, -1, -1, 1, 0, -1, 1] -> (40320*li6half - 40320*li5half*ln2 - 
    30240*li4half*ln2^2 - 868*ln2^6 + 95760*s6 - 10080*li4half*z2 + 
    2520*ln2^4*z2 - 9576*ln2^2*z2^2 + 14400*z2^3 - 2100*ln2^3*z3 - 
    8820*ln2*z2*z3 - 33705*z3^2 - 104895*ln2*z5)/20160, 
 H[-1, -1, -1, 1, -1, 1, 1] -> (141120*li6half + 60480*li5half*ln2 - 
    280*ln2^6 + 45360*s6 + 2100*ln2^4*z2 - 4032*ln2^2*z2^2 - 23424*z2^3 - 
    5880*ln2^3*z3 - 14490*z3^2 - 7245*ln2*z5)/20160, 
 H[-1, -1, -1, 1, -1, 0, 1] -> (-201600*li6half - 120960*li5half*ln2 - 
    30240*li4half*ln2^2 - 532*ln2^6 - 55440*s6 - 30240*li4half*z2 + 
    840*ln2^4*z2 + 11592*ln2^2*z2^2 + 45504*z2^3 - 3360*ln2^3*z3 - 
    17640*ln2*z2*z3 + 22995*z3^2 + 9135*ln2*z5)/20160, 
 H[-1, -1, -1, 1, -1, -1, 1] -> (-50400*li6half - 30240*li5half*ln2 - 
    7560*li4half*ln2^2 - 140*ln2^6 + 420*ln2^4*z2 + 1008*ln2^2*z2^2 + 
    11520*z2^3 - 735*ln2^3*z3 - 20160*ln2*z5)/5040, 
 H[-1, -1, -1, 0, 1, 1, 1] -> (13440*li5half*ln2 + 6720*li4half*ln2^2 + 
    168*ln2^6 - 6720*li4half*z2 - 840*ln2^4*z2 + 2520*ln2^2*z2^2 + 816*z2^3 + 
    2240*ln2^3*z3 - 5880*ln2*z2*z3 + 5145*z3^2 - 10500*ln2*z5)/13440, 
 H[-1, -1, -1, 0, 1, 0, 1] -> (161280*li6half + 224*ln2^6 + 40320*s6 + 
    20160*li4half*z2 - 2520*ln2^4*z2 - 30744*ln2^2*z2^2 - 29640*z2^3 + 
    10080*ln2^3*z3 + 30240*ln2*z2*z3 - 34335*z3^2 + 51660*ln2*z5)/40320, 
 H[-1, -1, -1, 0, 1, -1, 1] -> (-141120*li6half - 20160*li5half*ln2 + 
    30240*li4half*ln2^2 + 1232*ln2^6 - 95760*s6 - 1260*ln2^4*z2 + 
    11592*ln2^2*z2^2 + 12672*z2^3 + 2520*ln2^3*z3 + 8820*ln2*z2*z3 + 
    33705*z3^2 + 45045*ln2*z5)/20160, H[-1, -1, -1, 0, 0, 1, 1] -> 
  (-40320*li6half - 13440*li5half*ln2 + 56*ln2^6 - 10080*s6 + 
    13440*li4half*z2 + 280*ln2^4*z2 - 1344*ln2^2*z2^2 + 2696*z2^3 + 
    1120*ln2^3*z3 + 6720*ln2*z2*z3 + 945*z3^2 + 3150*ln2*z5)/6720, 
 H[-1, -1, -1, 0, 0, 0, 1] -> (-420*s6 - 49*ln2^2*z2^2 - 118*z2^3 + 
    140*ln2*z2*z3 + 245*z3^2 + 560*ln2*z5)/280, 
 H[-1, -1, -1, 0, 0, -1, 1] -> (40320*li6half + 20160*li5half*ln2 - 
    112*ln2^6 + 2520*s6 + 5040*li4half*z2 + 1050*ln2^4*z2 - 1890*ln2^2*z2^2 - 
    10272*z2^3 - 1680*ln2^3*z3 + 5040*ln2*z2*z3 - 2205*z3^2 + 14805*ln2*z5)/
   10080, H[-1, -1, -1, 0, -1, 1, 1] -> 
  (-20160*li6half - 80640*li5half*ln2 - 50400*li4half*ln2^2 - 1456*ln2^6 + 
    55440*s6 + 40320*li4half*z2 + 2940*ln2^4*z2 - 23184*ln2^2*z2^2 + 
    1152*z2^3 + 2520*ln2^3*z3 - 22995*z3^2 + 25515*ln2*z5)/20160, 
 H[-1, -1, -1, 0, -1, 0, 1] -> (40320*li6half + 56*ln2^6 - 22680*s6 - 
    5040*li4half*z2 - 1050*ln2^4*z2 - 5670*ln2^2*z2^2 - 11616*z2^3 + 
    3360*ln2^3*z3 + 10080*ln2*z2*z3 + 7245*z3^2 + 55440*ln2*z5)/10080, 
 H[-1, -1, -1, 0, -1, -1, 1] -> (50400*li6half + 20160*li5half*ln2 + 
    2520*li4half*ln2^2 + 7*ln2^6 - 3024*ln2^2*z2^2 - 11520*z2^3 + 
    840*ln2^3*z3 + 30240*ln2*z5)/5040, H[-1, -1, -1, -1, 1, 1, 1] -> 
  (-20160*li6half - 10080*li5half*ln2 + 70*ln2^6 - 5040*s6 - 420*ln2^4*z2 + 
    3744*z2^3 + 1470*ln2^3*z3 + 1260*z3^2 - 315*ln2*z5)/10080, 
 H[-1, -1, -1, -1, 1, 0, 1] -> (80640*li6half + 120960*li5half*ln2 + 
    60480*li4half*ln2^2 + 1624*ln2^6 - 20160*s6 + 20160*li4half*z2 - 
    5040*ln2^4*z2 + 3024*ln2^2*z2^2 - 29952*z2^3 + 10920*ln2^3*z3 + 
    17640*ln2*z2*z3 + 5355*z3^2 - 1260*ln2*z5)/40320, 
 H[-1, -1, -1, -1, 1, -1, 1] -> (5040*li6half + 4032*li5half*ln2 + 
    1512*li4half*ln2^2 + 35*ln2^6 - 147*ln2^4*z2 - 1152*z2^3 + 294*ln2^3*z3 + 
    1008*ln2*z5)/1008, H[-1, -1, -1, -1, 0, 1, 1] -> 
  (80640*li6half + 40320*li5half*ln2 - 224*ln2^6 + 20160*s6 - 
    20160*li4half*z2 + 2520*ln2^4*z2 + 6552*ln2^2*z2^2 - 6912*z2^3 - 
    10080*ln2^3*z3 - 5355*z3^2 - 34020*ln2*z5)/40320, 
 H[-1, -1, -1, -1, 0, 0, 1] -> (-5040*li6half - 7*ln2^6 + 1260*s6 + 
    105*ln2^4*z2 + 945*ln2^2*z2^2 + 1368*z2^3 - 420*ln2^3*z3 - 
    1260*ln2*z2*z3 - 315*z3^2 - 5040*ln2*z5)/2520, 
 H[-1, -1, -1, -1, 0, -1, 1] -> (-25200*li6half - 5040*li5half*ln2 + 
    7*ln2^6 + 210*ln2^4*z2 + 3024*ln2^2*z2^2 + 5760*z2^3 - 1680*ln2^3*z3 - 
    20160*ln2*z5)/5040, H[-1, -1, -1, -1, -1, 1, 1] -> 
  (-5040*li6half - 5040*li5half*ln2 - 2520*li4half*ln2^2 - 77*ln2^6 + 
    315*ln2^4*z2 + 1152*z2^3 - 735*ln2^3*z3)/5040, 
 H[-1, -1, -1, -1, -1, 0, 1] -> (5040*li6half + 7*ln2^6 - 210*ln2^4*z2 - 
    1008*ln2^2*z2^2 - 1152*z2^3 + 840*ln2^3*z3 + 5040*ln2*z5)/5040, 
 H[-1, -1, -1, -1, -1, -1, 1] -> ln2^6/720, H[1, 1, 1, 1, 1, 1, 1, 1] -> 
  (sinf^7 - 21*sinf^5*z2 + 21*sinf^3*z2^2 - 45*sinf*z2^3 + 70*sinf^4*z3 - 
    420*sinf^2*z2*z3 + 42*z2^2*z3 + 280*sinf*z3^2 + 504*sinf^2*z5 - 
    504*z2*z5 + 720*z7)/5040, H[1, 1, 1, 1, 1, 1, 0, 1] -> 
  (-7*sinf^5*z2 + 14*sinf^3*z2^2 - 45*sinf*z2^3 + 35*sinf^4*z3 - 
    350*sinf^2*z2*z3 + 49*z2^2*z3 + 280*sinf*z3^2 + 420*sinf^2*z5 - 
    588*z2*z5 + 840*z7)/840, H[1, 1, 1, 1, 1, 1, -1, 1] -> 
  (20160*li7half - 20160*li6half*sinf + 10080*li5half*sinf^2 - 
    3360*li4half*sinf^3 + 140*ln2^3*sinf^4 + 84*ln2^2*sinf^5 + 
    28*ln2*sinf^6 - 10080*li5half*z2 + 10080*li4half*sinf*z2 - 
    840*ln2^3*sinf^2*z2 - 840*ln2^2*sinf^3*z2 - 840*ln2*sinf^4*z2 - 
    84*sinf^5*z2 + 84*ln2^3*z2^2 + 252*ln2^2*sinf*z2^2 + 
    2772*ln2*sinf^2*z2^2 + 840*sinf^3*z2^2 - 432*ln2*z2^3 - 252*sinf*z2^3 - 
    6720*li4half*z3 + 1120*ln2^3*sinf*z3 + 1680*ln2^2*sinf^2*z3 + 
    1120*ln2*sinf^3*z3 + 735*sinf^4*z3 - 1680*ln2^2*z2*z3 - 
    6720*ln2*sinf*z2*z3 - 6090*sinf^2*z2*z3 + 2121*z2^2*z3 + 1120*ln2*z3^2 + 
    5880*sinf*z3^2 + 2016*ln2^2*z5 + 4032*ln2*sinf*z5 - 2016*z2*z5)/20160, 
 H[1, 1, 1, 1, 1, 0, 1, 1] -> (7*sinf^5*z2 + 98*sinf^3*z2^2 + 477*sinf*z2^3 - 
    70*sinf^4*z3 + 560*sinf^2*z2*z3 + 154*z2^2*z3 - 560*sinf*z3^2 - 
    1680*sinf^2*z5 + 1848*z2*z5 - 5040*z7)/840, 
 H[1, 1, 1, 1, 1, 0, 0, 1] -> (-14*sinf^3*z2^2 - 102*sinf*z2^3 + 
    35*sinf^4*z3 - 630*sinf^2*z2*z3 + 77*z2^2*z3 + 700*sinf*z3^2 + 
    840*sinf^2*z5 - 1680*z2*z5 + 2520*z7)/840, 
 H[1, 1, 1, 1, 1, 0, -1, 1] -> (161280*li7half + 161280*li6half*ln2 + 
    80640*li5half*ln2^2 + 26880*li4half*ln2^3 + 640*ln2^7 - 80640*ln2*s6 + 
    80640*s7a + 80640*s7b + 161280*li6half*sinf + 161280*li5half*ln2*sinf + 
    80640*li4half*ln2^2*sinf + 2240*ln2^6*sinf + 80640*li5half*sinf^2 + 
    80640*li4half*ln2*sinf^2 + 2688*ln2^5*sinf^2 + 26880*li4half*sinf^3 + 
    1120*ln2^4*sinf^3 - 161280*li5half*z2 - 161280*li4half*ln2*z2 - 
    8064*ln2^5*z2 - 161280*li4half*sinf*z2 - 16800*ln2^4*sinf*z2 - 
    13440*ln2^3*sinf^2*z2 - 6720*ln2^2*sinf^3*z2 + 672*sinf^5*z2 + 
    26880*ln2^3*z2^2 + 40320*ln2^2*sinf*z2^2 - 10080*sinf^3*z2^2 + 
    14112*ln2*z2^3 + 12096*sinf*z2^3 + 194880*li4half*z3 + 14000*ln2^4*z3 + 
    23520*ln2^3*sinf*z3 + 35280*ln2^2*sinf^2*z3 + 23520*ln2*sinf^3*z3 - 
    4200*sinf^4*z3 - 119280*ln2^2*z2*z3 - 141120*ln2*sinf*z2*z3 + 
    3360*sinf^2*z2*z3 - 116424*z2^2*z3 + 147840*ln2*z3^2 + 28140*sinf*z3^2 - 
    68040*sinf^2*z5 - 152712*z2*z5 + 530145*z7)/161280, 
 H[1, 1, 1, 1, 1, -1, 1, 1] -> (-8640*li7half + 7200*li6half*sinf - 
    2880*li5half*sinf^2 + 720*li4half*sinf^3 - 20*ln2^3*sinf^4 - 
    6*ln2^2*sinf^5 + 2880*li5half*z2 - 2160*li4half*sinf*z2 + 
    120*ln2^3*sinf^2*z2 + 60*ln2^2*sinf^3*z2 + 60*ln2*sinf^4*z2 + 
    6*sinf^5*z2 - 12*ln2^3*z2^2 - 18*ln2^2*sinf*z2^2 - 360*ln2*sinf^2*z2^2 - 
    60*sinf^3*z2^2 + 36*ln2*z2^3 + 18*sinf*z2^3 + 1440*li4half*z3 - 
    160*ln2^3*sinf*z3 - 120*ln2^2*sinf^2*z3 - 105*sinf^4*z3 + 
    120*ln2^2*z2*z3 + 480*ln2*sinf*z2*z3 + 750*sinf^2*z2*z3 - 183*z2^2*z3 - 
    840*sinf*z3^2 - 144*ln2^2*z5 + 144*z2*z5)/1440, 
 H[1, 1, 1, 1, 1, -1, 0, 1] -> (80640*li7half - 16*ln2^7 + 13440*ln2*s6 - 
    13440*s7a - 80640*li6half*sinf - 112*ln2^6*sinf + 13440*s6*sinf + 
    40320*li5half*sinf^2 - 336*ln2^5*sinf^2 - 13440*li4half*sinf^3 - 
    560*ln2^4*sinf^3 - 67200*li5half*z2 + 560*ln2^5*z2 + 
    67200*li4half*sinf*z2 + 2800*ln2^4*sinf*z2 - 1680*ln2*sinf^4*z2 - 
    112*sinf^5*z2 - 1568*ln2^3*z2^2 - 4704*ln2^2*sinf*z2^2 + 
    12096*ln2*sinf^2*z2^2 + 3584*sinf^3*z2^2 - 9168*ln2*z2^3 - 
    7728*sinf*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 + 1820*sinf^4*z3 + 
    6720*ln2^2*z2*z3 - 13440*ln2*sinf*z2*z3 - 24920*sinf^2*z2*z3 + 
    20692*z2^2*z3 - 16800*ln2*z3^2 + 21280*sinf*z3^2 - 13020*ln2^2*z5 - 
    420*sinf^2*z5 - 2688*z2*z5 + 12915*z7)/26880, 
 H[1, 1, 1, 1, 1, -1, -1, 1] -> (241920*li7half + 48*ln2^7 - 40320*ln2*s6 + 
    40320*s7a - 161280*li6half*sinf + 336*ln2^6*sinf - 40320*s6*sinf + 
    40320*li5half*sinf^2 + 1008*ln2^5*sinf^2 + 1680*ln2^4*sinf^3 + 
    1120*ln2^3*sinf^4 + 336*ln2^2*sinf^5 - 40320*li5half*z2 - 1680*ln2^5*z2 - 
    8400*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 - 10080*ln2^2*sinf^3*z2 - 
    1680*ln2*sinf^4*z2 + 6720*ln2^3*z2^2 + 19152*ln2^2*sinf*z2^2 + 
    8064*ln2*sinf^2*z2^2 - 672*sinf^3*z2^2 + 17136*ln2*z2^3 + 
    18144*sinf*z2^3 + 6720*ln2^4*z3 + 22400*ln2^3*sinf*z3 + 
    26880*ln2^2*sinf^2*z3 + 13440*ln2*sinf^3*z3 + 420*sinf^4*z3 - 
    60480*ln2^2*z2*z3 - 94080*ln2*sinf*z2*z3 - 22680*sinf^2*z2*z3 - 
    11172*z2^2*z3 + 77280*ln2*z3^2 + 53760*sinf*z3^2 + 87444*ln2^2*z5 + 
    80640*ln2*sinf*z5 + 1260*sinf^2*z5 - 40320*z2*z5 - 38745*z7)/80640, 
 H[1, 1, 1, 1, 0, 1, 1, 1] -> (-168*sinf^3*z2^2 - 1416*sinf*z2^3 + 
    35*sinf^4*z3 - 210*sinf^2*z2*z3 - 315*z2^2*z3 + 280*sinf*z3^2 + 
    2520*sinf^2*z5 - 2520*z2*z5 + 12600*z7)/840, 
 H[1, 1, 1, 1, 0, 1, 0, 1] -> (49*sinf^3*z2^2 + 149*sinf*z2^3 - 
    35*sinf^4*z3 + 630*sinf^2*z2*z3 - 7*z2^2*z3 - 700*sinf*z3^2 - 
    1155*sinf^2*z5 + 2835*z2*z5 - 4620*z7)/420, 
 H[1, 1, 1, 1, 0, 1, -1, 1] -> (-1935360*li7half - 1612800*li6half*ln2 - 
    645120*li5half*ln2^2 - 161280*li4half*ln2^3 - 3200*ln2^7 + 
    403200*ln2*s6 - 403200*s7a - 403200*s7b - 1612800*li6half*sinf - 
    1290240*li5half*ln2*sinf - 483840*li4half*ln2^2*sinf - 11648*ln2^6*sinf - 
    806400*s6*sinf - 645120*li5half*sinf^2 - 483840*li4half*ln2*sinf^2 - 
    14784*ln2^5*sinf^2 + 53760*li4half*sinf^3 + 2240*ln2^4*sinf^3 + 
    1290240*li5half*z2 + 967680*li4half*ln2*z2 + 41664*ln2^5*z2 + 
    322560*li4half*sinf*z2 + 60480*ln2^4*sinf*z2 + 67200*ln2^3*sinf^2*z2 - 
    13440*ln2^2*sinf^3*z2 + 20160*ln2*sinf^4*z2 - 134400*ln2^3*z2^2 - 
    80640*ln2^2*sinf*z2^2 + 52416*ln2*sinf^2*z2^2 + 1344*sinf^3*z2^2 + 
    136800*ln2*z2^3 + 161856*sinf*z2^3 - 739200*li4half*z3 - 54320*ln2^4*z3 - 
    94080*ln2^3*sinf*z3 - 141120*ln2^2*sinf^2*z3 - 94080*ln2*sinf^3*z3 - 
    13440*sinf^4*z3 + 467040*ln2^2*z2*z3 + 725760*ln2*sinf*z2*z3 + 
    221760*sinf^2*z2*z3 + 498624*z2^2*z3 - 692160*ln2*z3^2 - 
    52080*sinf*z3^2 + 204120*sinf^2*z5 + 980280*z2*z5 - 2650725*z7)/322560, 
 H[1, 1, 1, 1, 0, 0, 1, 1] -> (-70*sinf^3*z2^2 + 194*sinf*z2^3 + 
    35*sinf^4*z3 + 210*sinf^2*z2*z3 + 469*z2^2*z3 - 560*sinf*z3^2 - 
    210*sinf^2*z5 + 1050*z2*z5 - 3360*z7)/840, 
 H[1, 1, 1, 1, 0, 0, 0, 1] -> (-14*sinf^3*z2^2 - 27*sinf*z2^3 - 
    105*sinf^2*z2*z3 - 28*z2^2*z3 + 210*sinf*z3^2 + 210*sinf^2*z5 - 
    630*z2*z5 + 1050*z7)/210, H[1, 1, 1, 1, 0, 0, -1, 1] -> 
  (161280*li7half + 161280*li6half*ln2 + 80640*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 640*ln2^7 - 80640*ln2*s6 + 40320*s7a + 80640*s7b + 
    161280*li6half*sinf + 161280*li5half*ln2*sinf + 
    80640*li4half*ln2^2*sinf + 2240*ln2^6*sinf - 40320*s6*sinf + 
    80640*li5half*sinf^2 + 80640*li4half*ln2*sinf^2 + 2688*ln2^5*sinf^2 + 
    26880*li4half*sinf^3 + 1120*ln2^4*sinf^3 - 161280*li5half*z2 - 
    161280*li4half*ln2*z2 - 8064*ln2^5*z2 - 161280*li4half*sinf*z2 - 
    16800*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 - 6720*ln2^2*sinf^3*z2 + 
    26880*ln2^3*z2^2 + 40320*ln2^2*sinf*z2^2 - 14784*sinf^3*z2^2 + 
    14112*ln2*z2^3 + 3552*sinf*z2^3 + 194880*li4half*z3 + 14000*ln2^4*z3 + 
    23520*ln2^3*sinf*z3 + 35280*ln2^2*sinf^2*z3 + 23520*ln2*sinf^3*z3 + 
    2520*sinf^4*z3 - 119280*ln2^2*z2*z3 - 141120*ln2*sinf*z2*z3 - 
    30240*sinf^2*z2*z3 - 121800*z2^2*z3 + 147840*ln2*z3^2 + 71820*sinf*z3^2 + 
    78120*ln2*sinf*z5 - 18900*sinf^2*z5 - 217980*z2*z5 + 604485*z7)/80640, 
 H[1, 1, 1, 1, 0, -1, 1, 1] -> (322560*li7half - 161280*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 3200*ln2^7 + 403200*ln2*s6 - 403200*s7a - 
    403200*s7b + 322560*li6half*sinf - 161280*li4half*ln2^2*sinf - 
    6272*ln2^6*sinf + 806400*s6*sinf + 161280*li5half*sinf^2 - 
    1344*ln2^5*sinf^2 - 161280*li4half*sinf^3 - 6720*ln2^4*sinf^3 + 
    322560*li4half*ln2*z2 + 28224*ln2^5*z2 + 645120*li4half*sinf*z2 + 
    60480*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 + 40320*ln2^2*sinf^3*z2 - 
    20160*ln2*sinf^4*z2 - 80640*ln2^3*z2^2 - 161280*ln2^2*sinf*z2^2 - 
    52416*ln2*sinf^2*z2^2 + 12096*sinf^3*z2^2 - 277920*ln2*z2^3 - 
    202176*sinf*z2^3 - 887040*li4half*z3 - 72240*ln2^4*z3 - 
    94080*ln2^3*sinf*z3 - 70560*ln2^2*sinf^2*z3 + 21840*sinf^4*z3 + 
    504000*ln2^2*z2*z3 + 120960*ln2*sinf*z2*z3 - 60480*sinf^2*z2*z3 + 
    611856*z2^2*z3 - 504000*ln2*z3^2 - 374640*sinf*z3^2 + 204120*sinf^2*z5 + 
    980280*z2*z5 - 2650725*z7)/322560, H[1, 1, 1, 1, 0, -1, 0, 1] -> 
  (-80640*ln2*s6 + 80640*s7a + 80640*s7b - 80640*li5half*z2 - 
    80640*li4half*ln2*z2 - 2688*ln2^5*z2 - 80640*li4half*sinf*z2 - 
    3360*ln2^4*sinf*z2 + 13440*ln2^3*z2^2 + 20160*ln2^2*sinf*z2^2 + 
    3808*sinf^3*z2^2 + 14112*ln2*z2^3 + 23840*sinf*z2^3 + 141120*li4half*z3 + 
    5880*ln2^4*z3 - 3360*sinf^4*z3 - 70560*ln2^2*z2*z3 - 
    70560*ln2*sinf*z2*z3 + 25200*sinf^2*z2*z3 - 89152*z2^2*z3 + 
    100800*ln2*z3^2 - 5460*sinf*z3^2 - 34440*sinf^2*z5 - 157080*z2*z5 + 
    553875*z7)/53760, H[1, 1, 1, 1, 0, -1, -1, 1] -> 
  (241920*li7half + 241920*li6half*ln2 + 120960*li5half*ln2^2 + 
    40320*li4half*ln2^3 + 960*ln2^7 + 40320*s7a + 161280*li6half*sinf + 
    161280*li5half*ln2*sinf + 80640*li4half*ln2^2*sinf + 2240*ln2^6*sinf + 
    40320*s6*sinf + 40320*li5half*sinf^2 + 40320*li4half*ln2*sinf^2 + 
    1344*ln2^5*sinf^2 - 120960*li5half*z2 - 120960*li4half*ln2*z2 - 
    8064*ln2^5*z2 - 40320*li4half*sinf*z2 - 11760*ln2^4*sinf*z2 - 
    6720*ln2^3*sinf^2*z2 + 20160*ln2^3*z2^2 + 10080*ln2^2*sinf*z2^2 - 
    1008*sinf^3*z2^2 - 15120*sinf*z2^3 + 80640*li4half*z3 + 12180*ln2^4*z3 + 
    23520*ln2^3*sinf*z3 + 17640*ln2^2*sinf^2*z3 + 420*sinf^4*z3 - 
    73080*ln2^2*z2*z3 - 35280*ln2*sinf*z2*z3 - 2520*sinf^2*z2*z3 - 
    35532*z2^2*z3 + 70560*ln2*z3^2 - 7350*sinf*z3^2 - 78120*ln2*sinf*z5 - 
    31500*sinf^2*z5 + 71820*z2*z5 - 109935*z7)/80640, 
 H[1, 1, 1, 1, -1, 1, 1, 1] -> (43200*li7half - 28800*li6half*sinf + 
    8640*li5half*sinf^2 - 1440*li4half*sinf^3 + 20*ln2^3*sinf^4 - 
    8640*li5half*z2 + 4320*li4half*sinf*z2 - 120*ln2^3*sinf^2*z2 - 
    60*ln2*sinf^4*z2 + 12*ln2^3*z2^2 + 360*ln2*sinf^2*z2^2 - 36*ln2*z2^3 - 
    2880*li4half*z3 + 160*ln2^3*sinf*z3 + 105*sinf^4*z3 - 
    480*ln2*sinf*z2*z3 - 630*sinf^2*z2*z3 + 63*z2^2*z3 + 840*sinf*z3^2)/2880, 
 H[1, 1, 1, 1, -1, 1, 0, 1] -> (-645120*li7half + 128*ln2^7 - 51840*ln2*s6 + 
    51840*s7a + 38400*s7b + 483840*li6half*sinf + 672*ln2^6*sinf + 
    13440*s6*sinf - 161280*li5half*sinf^2 + 1344*ln2^5*sinf^2 + 
    26880*li4half*sinf^3 + 1120*ln2^4*sinf^3 + 376320*li5half*z2 - 
    2912*ln2^5*z2 - 241920*li4half*sinf*z2 - 8960*ln2^4*sinf*z2 + 
    2240*ln2^3*sinf^2*z2 + 2240*ln2^2*sinf^3*z2 + 1120*ln2*sinf^4*z2 + 
    4704*ln2^3*z2^2 + 4704*ln2^2*sinf*z2^2 - 31584*ln2*sinf^2*z2^2 - 
    3360*sinf^3*z2^2 + 29184*ln2*z2^3 + 7008*sinf*z2^3 + 215040*li4half*z3 + 
    8960*ln2^4*z3 - 2240*sinf^4*z3 - 35840*ln2^2*z2*z3 + 
    8960*ln2*sinf*z2*z3 + 60480*sinf^2*z2*z3 - 88992*z2^2*z3 + 
    64800*ln2*z3^2 - 70000*sinf*z3^2 + 13020*ln2^2*z5 + 12180*sinf^2*z5 - 
    124560*z2*z5 + 292455*z7)/53760, H[1, 1, 1, 1, -1, 1, -1, 1] -> 
  (-1935360*li7half - 96*ln2^7 + 247680*ln2*s6 - 247680*s7a + 115200*s7b + 
    1128960*li6half*sinf - 672*ln2^6*sinf + 362880*s6*sinf - 
    241920*li5half*sinf^2 - 2016*ln2^5*sinf^2 - 3360*ln2^4*sinf^3 - 
    1120*ln2^3*sinf^4 + 241920*li5half*z2 + 4032*ln2^5*z2 + 
    20160*ln2^4*sinf*z2 + 26880*ln2^3*sinf^2*z2 + 20160*ln2^2*sinf^3*z2 + 
    3360*ln2*sinf^4*z2 - 14784*ln2^3*z2^2 - 42336*ln2^2*sinf*z2^2 - 
    2016*ln2*sinf^2*z2^2 + 6048*sinf^3*z2^2 - 101952*ln2*z2^3 - 
    124128*sinf*z2^3 - 20160*ln2^4*z3 - 62720*ln2^3*sinf*z3 - 
    80640*ln2^2*sinf^2*z3 - 53760*ln2*sinf^3*z3 - 1680*sinf^4*z3 + 
    201600*ln2^2*z2*z3 + 349440*ln2*sinf*z2*z3 + 90720*sinf^2*z2*z3 + 
    18288*z2^2*z3 - 417120*ln2*z3^2 - 290640*sinf*z3^2 - 674100*ln2^2*z5 - 
    645120*ln2*sinf*z5 + 28980*sinf^2*z5 - 56160*z2*z5 + 1264815*z7)/161280, 
 H[1, 1, 1, 1, -1, 0, 1, 1] -> (-161280*li7half + 32*ln2^7 - 82560*ln2*s6 + 
    82560*s7a - 38400*s7b + 161280*li6half*sinf + 224*ln2^6*sinf - 
    120960*s6*sinf - 80640*li5half*sinf^2 + 672*ln2^5*sinf^2 + 
    26880*li4half*sinf^3 + 1120*ln2^4*sinf^3 + 134400*li5half*z2 - 
    1344*ln2^5*z2 - 134400*li4half*sinf*z2 - 6720*ln2^4*sinf*z2 - 
    2240*ln2^3*sinf^2*z2 - 2240*ln2^2*sinf^3*z2 + 2240*ln2*sinf^4*z2 + 
    10976*ln2^3*z2^2 + 32928*ln2^2*sinf*z2^2 - 672*ln2*sinf^2*z2^2 - 
    6496*sinf^3*z2^2 + 46368*ln2*z2^3 + 22560*sinf*z2^3 + 161280*li4half*z3 + 
    6720*ln2^4*z3 - 1400*sinf^4*z3 - 31360*ln2^2*z2*z3 + 
    17920*ln2*sinf*z2*z3 + 31920*sinf^2*z2*z3 - 10184*z2^2*z3 + 
    103200*ln2*z3^2 - 12880*sinf*z3^2 + 117180*ln2^2*z5 - 9660*sinf^2*z5 + 
    126240*z2*z5 - 421605*z7)/53760, H[1, 1, 1, 1, -1, 0, 0, 1] -> 
  (80640*li7half - 16*ln2^7 + 80640*ln2*s6 - 80640*s7a - 80640*li6half*sinf - 
    112*ln2^6*sinf + 80640*s6*sinf + 40320*li5half*sinf^2 - 
    336*ln2^5*sinf^2 - 13440*li4half*sinf^3 - 560*ln2^4*sinf^3 - 
    161280*li5half*z2 + 1680*ln2^5*z2 + 161280*li4half*sinf*z2 + 
    8400*ln2^4*sinf*z2 + 3360*ln2^3*sinf^2*z2 + 3360*ln2^2*sinf^3*z2 - 
    12768*ln2^3*z2^2 - 38304*ln2^2*sinf*z2^2 + 2016*ln2*sinf^2*z2^2 + 
    1344*sinf^3*z2^2 - 39744*ln2*z2^3 - 34848*sinf*z2^3 - 188160*li4half*z3 - 
    7840*ln2^4*z3 + 1260*sinf^4*z3 + 47040*ln2^2*z2*z3 - 40320*sinf^2*z2*z3 + 
    66948*z2^2*z3 - 100800*ln2*z3^2 + 30240*sinf*z3^2 - 78120*ln2^2*z5 + 
    37800*sinf^2*z5 - 39060*z2*z5 + 157815*z7)/40320, 
 H[1, 1, 1, 1, -1, 0, -1, 1] -> (-483840*li7half - 80640*li6half*ln2 - 
    40320*li5half*ln2^2 - 13440*li4half*ln2^3 - 240*ln2^7 + 80640*s7b + 
    322560*li6half*sinf - 80640*li5half*ln2*sinf - 40320*li4half*ln2^2*sinf - 
    560*ln2^6*sinf + 80640*s6*sinf - 241920*li5half*sinf^2 - 
    40320*li4half*ln2*sinf^2 + 336*ln2^5*sinf^2 + 53760*li4half*sinf^3 + 
    2240*ln2^4*sinf^3 + 322560*li5half*z2 + 80640*li4half*ln2*z2 + 
    672*ln2^5*z2 - 161280*li4half*sinf*z2 - 8400*ln2^4*sinf*z2 - 
    6720*ln2^3*sinf^2*z2 - 10080*ln2^2*sinf^3*z2 + 1680*ln2*sinf^4*z2 - 
    18480*ln2^3*z2^2 - 35280*ln2^2*sinf*z2^2 - 75600*ln2*sinf^2*z2^2 - 
    20160*sinf^3*z2^2 + 144*ln2*z2^3 - 20016*sinf*z2^3 + 87360*li4half*z3 + 
    12460*ln2^4*z3 + 35280*ln2^3*sinf*z3 + 52920*ln2^2*sinf^2*z3 + 
    35280*ln2*sinf^3*z3 - 840*sinf^4*z3 - 120960*ln2^2*z2*z3 - 
    198240*ln2*sinf*z2*z3 - 30240*sinf^2*z2*z3 - 82908*z2^2*z3 + 
    101430*ln2*z3^2 + 33600*sinf*z3^2 + 117180*ln2^2*z5 + 
    390600*ln2*sinf*z5 + 307440*sinf^2*z5 - 742140*z2*z5 + 1317645*z7)/80640, 
 H[1, 1, 1, 1, -1, -1, 1, 1] -> (-483840*li7half - 384*ln2^7 + 
    155520*ln2*s6 - 155520*s7a - 115200*s7b + 161280*li6half*sinf - 
    2016*ln2^6*sinf - 40320*s6*sinf - 4032*ln2^5*sinf^2 - 3360*ln2^4*sinf^3 - 
    1120*ln2^3*sinf^4 + 8736*ln2^5*z2 + 26880*ln2^4*sinf*z2 + 
    26880*ln2^3*sinf^2*z2 + 6720*ln2^2*sinf^3*z2 - 20160*ln2^3*z2^2 - 
    22176*ln2^2*sinf*z2^2 - 6048*ln2*sinf^2*z2^2 - 3360*sinf^3*z2^2 - 
    69408*ln2*z2^3 - 12960*sinf*z2^3 - 26880*ln2^4*z3 - 62720*ln2^3*sinf*z3 - 
    40320*ln2^2*sinf^2*z3 + 840*sinf^4*z3 + 174720*ln2^2*z2*z3 + 
    161280*ln2*sinf*z2*z3 + 35280*sinf^2*z2*z3 + 168024*z2^2*z3 - 
    194400*ln2*z3^2 - 119280*sinf*z3^2 - 119700*ln2^2*z5 - 36540*sinf^2*z5 + 
    454320*z2*z5 - 877365*z7)/161280, H[1, 1, 1, 1, -1, -1, 0, 1] -> 
  (887040*li7half - 176*ln2^7 - 120960*ln2*s6 + 120960*s7a - 
    645120*li6half*sinf - 896*ln2^6*sinf - 161280*s6*sinf + 
    201600*li5half*sinf^2 - 1680*ln2^5*sinf^2 - 26880*li4half*sinf^3 - 
    1120*ln2^4*sinf^3 - 282240*li5half*z2 + 1680*ln2^5*z2 + 
    80640*li4half*sinf*z2 - 6720*ln2^3*sinf^2*z2 - 6720*ln2^2*sinf^3*z2 - 
    1680*ln2*sinf^4*z2 + 20832*ln2^3*z2^2 + 76608*ln2^2*sinf*z2^2 + 
    60480*ln2*sinf^2*z2^2 + 9408*sinf^3*z2^2 + 43632*ln2*z2^3 + 
    66816*sinf*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 + 420*sinf^4*z3 - 
    73920*ln2^2*z2*z3 - 134400*ln2*sinf*z2*z3 - 27720*sinf^2*z2*z3 - 
    6132*z2^2*z3 + 151200*ln2*z3^2 + 134400*sinf*z3^2 + 117180*ln2^2*z5 - 
    154980*sinf^2*z5 + 115920*z2*z5 - 437535*z7)/80640, 
 H[1, 1, 1, 1, -1, -1, -1, 1] -> (161280*li7half + 208*ln2^7 - 40320*ln2*s6 + 
    40320*s7a + 1120*ln2^6*sinf - 40320*li5half*sinf^2 + 2352*ln2^5*sinf^2 + 
    13440*li4half*sinf^3 + 2240*ln2^4*sinf^3 + 560*ln2^3*sinf^4 + 
    40320*li5half*z2 - 5040*ln2^5*z2 - 40320*li4half*sinf*z2 - 
    16800*ln2^4*sinf*z2 - 16800*ln2^3*sinf^2*z2 - 6720*ln2^2*sinf^3*z2 + 
    6384*ln2^3*z2^2 - 18144*ln2*sinf^2*z2^2 - 5376*sinf^3*z2^2 + 
    21024*ln2*z2^3 + 2880*sinf*z2^3 + 26880*li4half*z3 + 17920*ln2^4*z3 + 
    44800*ln2^3*sinf*z3 + 40320*ln2^2*sinf^2*z3 + 13440*ln2*sinf^3*z3 - 
    114240*ln2^2*z2*z3 - 120960*ln2*sinf*z2*z3 - 20160*sinf^2*z2*z3 - 
    24864*z2^2*z3 + 117600*ln2*z3^2 + 40320*sinf*z3^2 + 160020*ln2^2*z5 + 
    161280*ln2*sinf*z5 + 79380*sinf^2*z5 - 158760*z2*z5 + 121905*z7)/80640, 
 H[1, 1, 1, 0, 1, 1, 1, 1] -> (7*sinf^3*z2^2 + 219*sinf*z2^3 + 14*z2^2*z3 - 
    210*sinf^2*z5 + 210*z2*z5 - 2100*z7)/105, H[1, 1, 1, 0, 1, 1, 0, 1] -> 
  (-35*sinf^3*z2^2 - 351*sinf*z2^3 - 210*sinf^2*z2*z3 - 28*z2^2*z3 + 
    210*sinf*z3^2 + 945*sinf^2*z5 - 3465*z2*z5 + 7140*z7)/420, 
 H[1, 1, 1, 0, 1, 1, -1, 1] -> (604800*li7half + 403200*li6half*ln2 + 
    120960*li5half*ln2^2 + 20160*li4half*ln2^3 + 272*ln2^7 - 83520*ln2*s6 + 
    83520*s7a - 17280*s7b + 403200*li6half*sinf + 241920*li5half*ln2*sinf + 
    60480*li4half*ln2^2*sinf + 1064*ln2^6*sinf + 151200*s6*sinf + 
    40320*li5half*sinf^2 + 60480*li4half*ln2*sinf^2 + 2184*ln2^5*sinf^2 + 
    6720*li4half*sinf^3 + 280*ln2^4*sinf^3 - 161280*li5half*z2 - 
    120960*li4half*ln2*z2 - 4536*ln2^5*z2 - 80640*li4half*sinf*z2 - 
    6720*ln2^4*sinf*z2 - 11760*ln2^3*sinf^2*z2 + 3360*ln2^2*sinf^3*z2 + 
    16800*ln2^3*z2^2 + 26712*ln2^2*sinf*z2^2 - 23688*ln2*sinf^2*z2^2 - 
    3024*sinf^3*z2^2 - 50760*ln2*z2^3 - 46224*sinf*z2^3 + 119280*li4half*z3 + 
    6440*ln2^4*z3 + 5880*ln2^3*sinf*z3 + 8820*ln2^2*sinf^2*z3 + 
    5880*ln2*sinf^3*z3 - 37380*ln2^2*z2*z3 - 35280*ln2*sinf*z2*z3 - 
    8820*sinf^2*z2*z3 - 45180*z2^2*z3 + 116160*ln2*z3^2 - 41265*sinf*z3^2 + 
    97650*ln2^2*z5 - 7245*sinf^2*z5 + 61155*z2*z5 - 289845*z7)/40320, 
 H[1, 1, 1, 0, 1, 0, 1, 1] -> (7*sinf^3*z2^2 - 13*sinf*z2^3 - 
    140*sinf^2*z2*z3 - 182*z2^2*z3 + 280*sinf*z3^2 + 140*sinf^2*z5 - 
    700*z2*z5 + 1400*z7)/140, H[1, 1, 1, 0, 1, 0, 0, 1] -> 
  (48*sinf^3*z2^2 + 88*sinf*z2^3 + 240*sinf^2*z2*z3 + 96*z2^2*z3 - 
    480*sinf*z3^2 - 660*sinf^2*z5 + 1980*z2*z5 - 3315*z7)/240, 
 H[1, 1, 1, 0, 1, 0, -1, 1] -> (-322560*li7half - 322560*li6half*ln2 - 
    161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 1280*ln2^7 + 218880*ln2*s6 - 
    37440*s7a - 218880*s7b - 322560*li6half*sinf - 322560*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 4480*ln2^6*sinf + 181440*s6*sinf - 
    161280*li5half*sinf^2 - 161280*li4half*ln2*sinf^2 - 5376*ln2^5*sinf^2 - 
    53760*li4half*sinf^3 - 2240*ln2^4*sinf^3 + 322560*li5half*z2 + 
    322560*li4half*ln2*z2 + 16128*ln2^5*z2 + 322560*li4half*sinf*z2 + 
    33600*ln2^4*sinf*z2 + 26880*ln2^3*sinf^2*z2 + 13440*ln2^2*sinf^3*z2 - 
    53760*ln2^3*z2^2 - 80640*ln2^2*sinf*z2^2 + 23856*sinf^3*z2^2 - 
    38304*ln2*z2^3 + 36000*sinf*z2^3 - 389760*li4half*z3 - 28000*ln2^4*z3 - 
    47040*ln2^3*sinf*z3 - 70560*ln2^2*sinf^2*z3 - 47040*ln2*sinf^3*z3 + 
    238560*ln2^2*z2*z3 + 282240*ln2*sinf*z2*z3 + 30240*sinf^2*z2*z3 + 
    251760*z2^2*z3 - 279480*ln2*z3^2 - 141120*sinf*z3^2 - 
    351540*ln2*sinf*z5 + 56070*sinf^2*z5 + 607050*z2*z5 - 1587645*z7)/80640, 
 H[1, 1, 1, 0, 1, -1, 1, 1] -> (-483840*li7half + 161280*li5half*ln2^2 + 
    80640*li4half*ln2^3 + 2112*ln2^7 - 69120*ln2*s6 + 69120*s7a + 
    472320*s7b - 403200*li6half*sinf + 120960*li4half*ln2^2*sinf + 
    4480*ln2^6*sinf + 161280*li5half*sinf^2 - 1344*ln2^5*sinf^2 - 
    40320*li4half*sinf^3 - 1680*ln2^4*sinf^3 - 322560*li5half*z2 - 
    241920*li4half*ln2*z2 - 16128*ln2^5*z2 - 21840*ln2^4*sinf*z2 + 
    13440*ln2^3*sinf^2*z2 - 10080*ln2^2*sinf^3*z2 + 33600*ln2^3*z2^2 - 
    26208*ln2^2*sinf*z2^2 + 8064*ln2*sinf^2*z2^2 + 11760*sinf^3*z2^2 - 
    8352*ln2*z2^3 + 61488*sinf*z2^3 + 342720*li4half*z3 + 31920*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 + 35280*ln2^2*sinf^2*z3 - 267120*ln2^2*z2*z3 - 
    141120*ln2*sinf*z2*z3 - 35280*sinf^2*z2*z3 - 394512*z2^2*z3 + 
    86400*ln2*z3^2 + 123480*sinf*z3^2 - 390600*ln2^2*z5 - 73080*sinf^2*z5 - 
    1326960*z2*z5 + 3810105*z7)/80640, H[1, 1, 1, 0, 1, -1, 0, 1] -> 
  (840960*ln2*s6 - 840960*s7a - 840960*s7b - 1128960*s6*sinf + 
    215040*li4half*sinf^3 + 8960*ln2^4*sinf^3 + 1935360*li5half*z2 + 
    1451520*li4half*ln2*z2 + 44352*ln2^5*z2 - 483840*li4half*sinf*z2 - 
    20160*ln2^4*sinf*z2 - 53760*ln2^2*sinf^3*z2 - 201600*ln2^3*z2^2 + 
    120960*ln2^2*sinf*z2^2 + 181440*ln2*sinf^2*z2^2 - 44352*sinf^3*z2^2 + 
    110304*ln2*z2^3 - 6336*sinf*z2^3 - 819840*li4half*z3 - 34160*ln2^4*z3 + 
    628320*ln2^2*z2*z3 + 846720*ln2*sinf*z2*z3 + 302400*sinf^2*z2*z3 + 
    772992*z2^2*z3 - 1051200*ln2*z3^2 - 196560*sinf*z3^2 - 647640*sinf^2*z5 + 
    2709720*z2*z5 - 8784495*z7)/322560, H[1, 1, 1, 0, 1, -1, -1, 1] -> 
  (-967680*li7half - 1935360*li6half*ln2 - 1290240*li5half*ln2^2 - 
    483840*li4half*ln2^3 - 11904*ln2^7 + 288000*ln2*s6 - 207360*s7a - 
    933120*s7b - 322560*li6half*sinf - 1290240*li5half*ln2*sinf - 
    967680*li4half*ln2^2*sinf - 30016*ln2^6*sinf + 322560*s6*sinf - 
    645120*li5half*sinf^2 - 483840*li4half*ln2*sinf^2 - 14784*ln2^5*sinf^2 - 
    107520*li4half*sinf^3 - 4480*ln2^4*sinf^3 + 1290240*li5half*z2 + 
    1451520*li4half*ln2*z2 + 99456*ln2^5*z2 + 806400*li4half*sinf*z2 + 
    174720*ln2^4*sinf*z2 + 67200*ln2^3*sinf^2*z2 + 67200*ln2^2*sinf^3*z2 - 
    255360*ln2^3*z2^2 - 149184*ln2^2*sinf*z2^2 - 8064*ln2*sinf^2*z2^2 + 
    47040*sinf^3*z2^2 - 61920*ln2*z2^3 - 47232*sinf*z2^3 - 
    1182720*li4half*z3 - 155120*ln2^4*z3 - 329280*ln2^3*sinf*z3 - 
    352800*ln2^2*sinf^2*z3 - 141120*ln2*sinf^3*z3 + 1223040*ln2^2*z2*z3 + 
    1128960*ln2*sinf*z2*z3 + 211680*sinf^2*z2*z3 + 859296*z2^2*z3 - 
    853920*ln2*z3^2 - 526680*sinf*z3^2 + 468720*ln2^2*z5 - 
    468720*ln2*sinf*z5 + 214200*sinf^2*z5 + 2783880*z2*z5 - 6794775*z7)/
   322560, H[1, 1, 1, 0, 0, 1, 1, 1] -> 
  (sinf^3*z2^2 - 3*sinf*z2^3 - 70*z2^2*z3 + 30*sinf*z3^2 - 15*sinf^2*z5 + 
    15*z2*z5 + 180*z7)/60, H[1, 1, 1, 0, 0, 1, 0, 1] -> 
  (-168*sinf^3*z2^2 + 164*sinf*z2^3 - 420*sinf^2*z2*z3 + 336*z2^2*z3 - 
    420*sinf*z3^2 + 1890*sinf^2*z5 - 1470*z2*z5 + 525*z7)/840, 
 H[1, 1, 1, 0, 0, 1, -1, 1] -> (-967680*li7half - 645120*li6half*ln2 - 
    161280*li5half*ln2^2 + 640*ln2^7 - 92160*ln2*s6 + 51840*s7a + 11520*s7b - 
    645120*li6half*sinf - 322560*li5half*ln2*sinf + 1792*ln2^6*sinf - 
    201600*s6*sinf - 161280*li5half*sinf^2 + 1344*ln2^5*sinf^2 + 
    322560*li5half*z2 - 6720*ln2^5*z2 - 13440*ln2^4*sinf*z2 - 
    13440*ln2^3*sinf^2*z2 + 26880*ln2^3*z2^2 - 129024*ln2*sinf^2*z2^2 - 
    12768*sinf^3*z2^2 + 46368*ln2*z2^3 + 84672*sinf*z2^3 + 11760*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 + 70560*ln2^2*sinf^2*z3 + 47040*ln2*sinf^3*z3 - 
    141120*ln2^2*z2*z3 - 40320*ln2*sinf*z2*z3 - 70560*sinf^2*z2*z3 + 
    384*z2^2*z3 + 32880*ln2*z3^2 + 118440*sinf*z3^2 + 156240*ln2^2*z5 + 
    234360*ln2*sinf*z5 + 391860*sinf^2*z5 - 541620*z2*z5 + 1328805*z7)/
   161280, H[1, 1, 1, 0, 0, 0, 1, 1] -> 
  (112*sinf^3*z2^2 + 376*sinf*z2^3 + 840*sinf^2*z2*z3 + 560*z2^2*z3 - 
    840*sinf*z3^2 - 2520*sinf^2*z5 + 5880*z2*z5 - 11445*z7)/1680, 
 H[1, 1, 1, 0, 0, 0, 0, 1] -> (-12*sinf*z2^3 - 35*z2^2*z3 + 35*sinf*z3^2 + 
    35*sinf^2*z5 - 175*z2*z5 + 350*z7)/70, H[1, 1, 1, 0, 0, 0, -1, 1] -> 
  (-20160*s7a - 20160*s6*sinf + 784*sinf^3*z2^2 - 4160*sinf*z2^3 + 
    3360*sinf^2*z2*z3 - 3136*z2^2*z3 + 8400*sinf*z3^2 + 39060*ln2*sinf*z5 - 
    12390*sinf^2*z5 + 5670*z2*z5 - 15435*z7)/13440, 
 H[1, 1, 1, 0, 0, -1, 1, 1] -> (322560*li7half - 161280*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 3200*ln2^7 + 299520*ln2*s6 - 299520*s7a - 
    218880*s7b + 322560*li6half*sinf - 161280*li4half*ln2^2*sinf - 
    6272*ln2^6*sinf + 80640*s6*sinf + 161280*li5half*sinf^2 - 
    1344*ln2^5*sinf^2 + 53760*li4half*sinf^3 + 2240*ln2^4*sinf^3 + 
    322560*li4half*ln2*z2 + 28224*ln2^5*z2 + 33600*ln2^4*sinf*z2 + 
    13440*ln2^3*sinf^2*z2 - 13440*ln2^2*sinf^3*z2 - 80640*ln2^3*z2^2 + 
    129024*ln2*sinf^2*z2^2 - 5376*sinf^3*z2^2 - 82656*ln2*z2^3 - 
    576*sinf*z2^3 - 456960*li4half*z3 - 54320*ln2^4*z3 - 
    94080*ln2^3*sinf*z3 - 70560*ln2^2*sinf^2*z3 + 396480*ln2^2*z2*z3 + 
    40320*ln2*sinf*z2*z3 + 70560*sinf^2*z2*z3 + 365664*z2^2*z3 - 
    374400*ln2*z3^2 - 146160*sinf*z3^2 - 156240*ln2^2*z5 - 428400*sinf^2*z5 + 
    1146960*z2*z5 - 2989395*z7)/161280, H[1, 1, 1, 0, 0, -1, 0, 1] -> 
  (-40320*ln2*s6 + 40320*s7a + 40320*s7b - 40320*li5half*z2 - 
    40320*li4half*ln2*z2 - 1344*ln2^5*z2 - 40320*li4half*sinf*z2 - 
    1680*ln2^4*sinf*z2 + 6720*ln2^3*z2^2 + 10080*ln2^2*sinf*z2^2 - 
    2352*sinf^3*z2^2 + 7056*ln2*z2^3 + 12352*sinf*z2^3 + 70560*li4half*z3 + 
    2940*ln2^4*z3 - 35280*ln2^2*z2*z3 - 35280*ln2*sinf*z2*z3 - 
    10920*sinf^2*z2*z3 - 43680*z2^2*z3 + 50400*ln2*z3^2 + 14070*sinf*z3^2 + 
    34860*sinf^2*z5 - 153510*z2*z5 + 379575*z7)/13440, 
 H[1, 1, 1, 0, 0, -1, -1, 1] -> (322560*li7half + 322560*li6half*ln2 + 
    161280*li5half*ln2^2 + 53760*li4half*ln2^3 + 1280*ln2^7 - 40320*ln2*s6 + 
    80640*s7a + 40320*s7b + 241920*li6half*sinf + 241920*li5half*ln2*sinf + 
    120960*li4half*ln2^2*sinf + 3360*ln2^6*sinf + 60480*s6*sinf + 
    80640*li5half*sinf^2 + 80640*li4half*ln2*sinf^2 + 2688*ln2^5*sinf^2 + 
    13440*li4half*sinf^3 + 560*ln2^4*sinf^3 - 201600*li5half*z2 - 
    201600*li4half*ln2*z2 - 12096*ln2^5*z2 - 120960*li4half*sinf*z2 - 
    20160*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 - 3360*ln2^2*sinf^3*z2 + 
    33600*ln2^3*z2^2 + 30240*ln2^2*sinf*z2^2 - 5040*sinf^3*z2^2 + 
    7056*ln2*z2^3 - 6768*sinf*z2^3 + 178080*li4half*z3 + 19180*ln2^4*z3 + 
    35280*ln2^3*sinf*z3 + 35280*ln2^2*sinf^2*z3 + 11760*ln2*sinf^3*z3 - 
    132720*ln2^2*z2*z3 - 105840*ln2*sinf*z2*z3 - 17640*sinf^2*z2*z3 - 
    93744*z2^2*z3 + 144480*ln2*z3^2 + 15120*sinf*z3^2 - 117180*ln2*sinf*z5 - 
    49140*sinf^2*z5 - 9450*z2*z5 + 162855*z7)/40320, 
 H[1, 1, 1, 0, -1, 1, 1, 1] -> (40320*li7half + 6720*li4half*ln2^3 + 
    272*ln2^7 - 83520*ln2*s6 + 83520*s7a - 17280*s7b + 40320*li6half*sinf + 
    56*ln2^6*sinf - 151200*s6*sinf - 60480*li5half*sinf^2 + 
    504*ln2^5*sinf^2 + 20160*li4half*sinf^3 + 840*ln2^4*sinf^3 + 
    60480*li5half*z2 - 20160*li4half*ln2*z2 - 2856*ln2^5*z2 - 
    60480*li4half*sinf*z2 - 3360*ln2^4*sinf*z2 - 5040*ln2^3*sinf^2*z2 + 
    10080*ln2^3*z2^2 + 21672*ln2^2*sinf*z2^2 + 19656*ln2*sinf^2*z2^2 - 
    3696*sinf^3*z2^2 + 90216*ln2*z2^3 + 18000*sinf*z2^3 + 75600*li4half*z3 + 
    7560*ln2^4*z3 + 5880*ln2^3*sinf*z3 - 35280*ln2^2*z2*z3 - 
    17640*ln2*sinf*z2*z3 - 55344*z2^2*z3 + 104400*ln2*z3^2 + 
    72135*sinf*z3^2 + 97650*ln2^2*z5 - 7245*sinf^2*z5 + 61155*z2*z5 - 
    289845*z7)/40320, H[1, 1, 1, 0, -1, 1, 0, 1] -> 
  (610560*ln2*s6 - 610560*s7a - 610560*s7b + 1128960*s6*sinf - 
    215040*li4half*sinf^3 - 8960*ln2^4*sinf^3 - 322560*li5half*z2 + 
    161280*li4half*ln2*z2 + 9408*ln2^5*z2 + 1612800*li4half*sinf*z2 + 
    67200*ln2^4*sinf*z2 + 53760*ln2^2*sinf^3*z2 - 67200*ln2^3*z2^2 - 
    403200*ln2^2*sinf*z2^2 - 181440*ln2*sinf^2*z2^2 + 17472*sinf^3*z2^2 - 
    364320*ln2*z2^3 - 409536*sinf*z2^3 - 1720320*li4half*z3 - 
    71680*ln2^4*z3 + 712320*ln2^2*z2*z3 + 141120*ln2*sinf*z2*z3 - 
    262080*sinf^2*z2*z3 + 958416*z2^2*z3 - 763200*ln2*z3^2 - 
    302400*sinf*z3^2 + 914760*sinf^2*z5 + 470520*z2*z5 - 1747845*z7)/322560, 
 H[1, 1, 1, 0, -1, 1, -1, 1] -> (-483840*li7half - 241920*li6half*ln2 - 
    40320*li5half*ln2^2 + 96*ln2^7 - 2880*ln2*s6 - 87840*s7a + 204480*s7b - 
    282240*li6half*sinf - 80640*li5half*ln2*sinf + 20160*li4half*ln2^2*sinf + 
    1120*ln2^6*sinf - 90720*s6*sinf + 100800*li5half*sinf^2 + 
    20160*li4half*ln2*sinf^2 - 60480*li5half*z2 - 20160*li4half*ln2*z2 - 
    672*ln2^5*z2 - 20160*li4half*sinf*z2 - 6720*ln2^4*sinf*z2 + 
    3360*ln2^3*sinf^2*z2 - 10080*ln2^2*sinf^3*z2 - 8064*ln2^2*sinf*z2^2 + 
    4032*ln2*sinf^2*z2^2 - 2352*sinf^3*z2^2 - 9720*ln2*z2^3 + 
    38088*sinf*z2^3 + 25200*li4half*z3 + 1050*ln2^4*z3 + 
    11760*ln2^3*sinf*z3 + 26460*ln2^2*sinf^2*z3 + 17640*ln2*sinf^3*z3 - 
    52920*ln2^2*z2*z3 - 88200*ln2*sinf*z2*z3 - 26460*sinf^2*z2*z3 - 
    78234*z2^2*z3 - 75780*ln2*z3^2 + 75915*sinf*z3^2 - 195300*ln2^2*z5 + 
    175770*ln2*sinf*z5 - 31815*sinf^2*z5 - 665865*z2*z5 + 1718595*z7)/40320, 
 H[1, 1, 1, 0, -1, 0, 1, 1] -> (40320*ln2*s6 - 40320*s7a - 40320*s7b + 
    26880*li5half*z2 + 26880*li4half*ln2*z2 + 896*ln2^5*z2 + 
    26880*li4half*sinf*z2 + 1120*ln2^4*sinf*z2 - 4480*ln2^3*z2^2 - 
    6720*ln2^2*sinf*z2^2 + 336*sinf^3*z2^2 - 7056*ln2*z2^3 - 
    12528*sinf*z2^3 - 70560*li4half*z3 - 2940*ln2^4*z3 + 29400*ln2^2*z2*z3 + 
    23520*ln2*sinf*z2*z3 - 8400*sinf^2*z2*z3 + 36372*z2^2*z3 - 
    50400*ln2*z3^2 + 9450*sinf*z3^2 + 12180*sinf^2*z5 + 83580*z2*z5 - 
    230055*z7)/26880, H[1, 1, 1, 0, -1, 0, 0, 1] -> 
  (-26880*ln2*s6 + 26880*s7a + 26880*s7b + 4704*sinf^3*z2^2 + 4704*ln2*z2^3 - 
    1216*sinf*z2^3 + 47040*li4half*z3 + 1960*ln2^4*z3 - 11760*ln2^2*z2*z3 + 
    20160*sinf^2*z2*z3 - 31248*z2^2*z3 + 33600*ln2*z3^2 - 19740*sinf*z3^2 - 
    56280*sinf^2*z5 + 11760*z2*z5 + 65415*z7)/26880, 
 H[1, 1, 1, 0, -1, 0, -1, 1] -> (-645120*li7half - 645120*li6half*ln2 - 
    322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 2560*ln2^7 + 
    403200*ln2*s6 - 564480*s7a - 403200*s7b - 645120*li6half*sinf - 
    645120*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 8960*ln2^6*sinf - 
    161280*s6*sinf - 322560*li5half*sinf^2 - 322560*li4half*ln2*sinf^2 - 
    10752*ln2^5*sinf^2 - 107520*li4half*sinf^3 - 4480*ln2^4*sinf^3 + 
    725760*li5half*z2 + 725760*li4half*ln2*z2 + 34944*ln2^5*z2 + 
    725760*li4half*sinf*z2 + 70560*ln2^4*sinf*z2 + 53760*ln2^3*sinf^2*z2 + 
    26880*ln2^2*sinf^3*z2 - 120960*ln2^3*z2^2 - 181440*ln2^2*sinf*z2^2 + 
    43680*sinf^3*z2^2 - 70560*ln2*z2^3 - 91008*sinf*z2^3 - 
    920640*li4half*z3 - 61880*ln2^4*z3 - 94080*ln2^3*sinf*z3 - 
    141120*ln2^2*sinf^2*z3 - 94080*ln2*sinf^3*z3 + 547680*ln2^2*z2*z3 + 
    635040*ln2*sinf*z2*z3 + 115920*sinf^2*z2*z3 + 538440*z2^2*z3 - 
    692160*ln2*z3^2 - 172620*sinf*z3^2 + 312480*ln2*sinf*z5 + 
    83160*sinf^2*z5 + 871920*z2*z5 - 2922885*z7)/161280, 
 H[1, 1, 1, 0, -1, -1, 1, 1] -> (967680*li7half - 322560*li5half*ln2^2 - 
    161280*li4half*ln2^3 - 4224*ln2^7 - 264960*ln2*s6 + 264960*s7a - 
    702720*s7b + 645120*li6half*sinf - 161280*li4half*ln2^2*sinf - 
    5824*ln2^6*sinf - 80640*s6*sinf - 483840*li5half*sinf^2 + 
    4032*ln2^5*sinf^2 + 107520*li4half*sinf^3 + 4480*ln2^4*sinf^3 + 
    806400*li5half*z2 + 322560*li4half*ln2*z2 + 24192*ln2^5*z2 - 
    161280*li4half*sinf*z2 + 20160*ln2^4*sinf*z2 - 40320*ln2^3*sinf^2*z2 + 
    13440*ln2^2*sinf^3*z2 - 13440*ln2^3*z2^2 + 92736*ln2^2*sinf*z2^2 - 
    24192*ln2*sinf^2*z2^2 - 24192*sinf^3*z2^2 + 139680*ln2*z2^3 - 
    51840*sinf*z2^3 - 309120*li4half*z3 - 48160*ln2^4*z3 - 
    47040*ln2^3*sinf*z3 + 228480*ln2^2*z2*z3 + 314928*z2^2*z3 + 
    331200*ln2*z3^2 + 47880*sinf*z3^2 + 1093680*ln2^2*z5 + 292320*sinf^2*z5 + 
    1645920*z2*z5 - 5195025*z7)/322560, H[1, 1, 1, 0, -1, -1, 0, 1] -> 
  (-13440*ln2*s6 + 13440*s7a + 13440*s7b - 26880*li5half*z2 - 
    26880*li4half*ln2*z2 - 896*ln2^5*z2 - 6720*li4half*sinf*z2 - 
    280*ln2^4*sinf*z2 + 4480*ln2^3*z2^2 + 1680*ln2^2*sinf*z2^2 - 
    280*sinf^3*z2^2 + 2352*ln2*z2^3 + 1704*sinf*z2^3 + 23520*li4half*z3 + 
    980*ln2^4*z3 - 17640*ln2^2*z2*z3 - 5880*ln2*sinf*z2*z3 - 
    840*sinf^2*z2*z3 - 13664*z2^2*z3 + 16800*ln2*z3^2 + 1575*sinf*z3^2 + 
    4200*sinf^2*z5 - 26670*z2*z5 + 108885*z7)/13440, 
 H[1, 1, 1, 0, -1, -1, -1, 1] -> (80640*li7half + 80640*li6half*ln2 + 
    40320*li5half*ln2^2 + 13440*li4half*ln2^3 + 320*ln2^7 + 40320*ln2*s6 - 
    20160*s7a - 40320*s7b - 20160*li5half*sinf^2 - 20160*li4half*ln2*sinf^2 - 
    672*ln2^5*sinf^2 - 6720*li4half*sinf^3 - 280*ln2^4*sinf^3 + 
    20160*li5half*z2 + 20160*li4half*ln2*z2 - 672*ln2^5*z2 + 
    40320*li4half*sinf*z2 + 1680*ln2^4*sinf*z2 + 3360*ln2^3*sinf^2*z2 + 
    1680*ln2^2*sinf^3*z2 - 3360*ln2^3*z2^2 - 10080*ln2^2*sinf*z2^2 + 
    2688*sinf^3*z2^2 - 7056*ln2*z2^3 - 10512*sinf*z2^3 - 43680*li4half*z3 + 
    1120*ln2^4*z3 - 8820*ln2^2*sinf^2*z3 - 5880*ln2*sinf^3*z3 + 
    19740*ln2^2*z2*z3 + 35280*ln2*sinf*z2*z3 + 8820*sinf^2*z2*z3 + 
    31836*z2^2*z3 - 26880*ln2*z3^2 - 15435*sinf*z3^2 + 2520*sinf^2*z5 + 
    116550*z2*z5 - 354690*z7)/40320, H[1, 1, 1, -1, 1, 1, 1, 1] -> 
  (-120*li7half + 60*li6half*sinf - 12*li5half*sinf^2 + li4half*sinf^3 + 
    12*li5half*z2 - 3*li4half*sinf*z2 + 2*li4half*z3)/6, 
 H[1, 1, 1, -1, 1, 1, 0, 1] -> (6128640*li7half - 1216*ln2^7 + 
    230400*ln2*s6 - 230400*s7a - 311040*s7b - 3225600*li6half*sinf - 
    4480*ln2^6*sinf + 645120*li5half*sinf^2 - 5376*ln2^5*sinf^2 - 
    53760*li4half*sinf^3 - 2240*ln2^4*sinf^3 - 2580480*li5half*z2 + 
    17472*ln2^5*z2 + 1128960*li4half*sinf*z2 + 33600*ln2^4*sinf*z2 - 
    13440*ln2^3*sinf^2*z2 - 22848*ln2^3*z2^2 - 40320*ln2^2*sinf*z2^2 + 
    52416*ln2*sinf^2*z2^2 - 2688*sinf^3*z2^2 - 88416*ln2*z2^3 + 
    8064*sinf*z2^3 - 1075200*li4half*z3 - 43120*ln2^4*z3 + 
    6720*ln2^3*sinf*z3 + 10080*ln2^2*sinf^2*z3 + 6720*ln2*sinf^3*z3 + 
    221760*ln2^2*z2*z3 - 40320*ln2*sinf*z2*z3 - 151200*sinf^2*z2*z3 + 
    470112*z2^2*z3 - 274560*ln2*z3^2 + 158760*sinf*z3^2 + 78120*ln2^2*z5 + 
    73080*sinf^2*z5 + 843120*z2*z5 - 2439855*z7)/322560, 
 H[1, 1, 1, -1, 1, 1, -1, 1] -> (6128640*li7half + 64*ln2^7 - 599040*ln2*s6 + 
    599040*s7a - 610560*s7b - 2903040*li6half*sinf + 448*ln2^6*sinf - 
    1209600*s6*sinf + 483840*li5half*sinf^2 + 1344*ln2^5*sinf^2 + 
    2240*ln2^4*sinf^3 - 483840*li5half*z2 - 2688*ln2^5*z2 - 
    13440*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 - 13440*ln2^2*sinf^3*z2 + 
    6720*ln2^3*z2^2 + 20160*ln2^2*sinf*z2^2 - 20160*ln2*sinf^2*z2^2 - 
    6720*sinf^3*z2^2 + 162144*ln2*z2^3 + 268992*sinf*z2^3 + 16240*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 + 70560*ln2^2*sinf^2*z3 + 47040*ln2*sinf^3*z3 - 
    168000*ln2^2*z2*z3 - 282240*ln2*sinf*z2*z3 - 70560*sinf^2*z2*z3 + 
    126816*z2^2*z3 + 842880*ln2*z3^2 + 577080*sinf*z3^2 + 2139480*ln2^2*z5 + 
    1935360*ln2*sinf*z5 - 204120*sinf^2*z5 + 1067760*z2*z5 - 6128865*z7)/
   322560, H[1, 1, 1, -1, 1, 0, 1, 1] -> 
  (1612800*li7half - 320*ln2^7 + 391680*ln2*s6 - 391680*s7a - 149760*s7b - 
    1128960*li6half*sinf - 1568*ln2^6*sinf - 120960*s6*sinf + 
    322560*li5half*sinf^2 - 2688*ln2^5*sinf^2 - 26880*li4half*sinf^3 - 
    1120*ln2^4*sinf^3 - 967680*li5half*z2 + 9408*ln2^5*z2 + 
    564480*li4half*sinf*z2 + 26880*ln2^4*sinf*z2 - 6720*ln2^2*sinf^3*z2 - 
    47040*ln2^3*z2^2 - 42336*ln2^2*sinf*z2^2 + 96768*ln2*sinf^2*z2^2 + 
    12768*sinf^3*z2^2 - 104544*ln2*z2^3 - 10656*sinf*z2^3 - 
    1021440*li4half*z3 - 44240*ln2^4*z3 - 6720*ln2^3*sinf*z3 - 
    10080*ln2^2*sinf^2*z3 - 6720*ln2*sinf^3*z3 + 248640*ln2^2*z2*z3 + 
    40320*ln2*sinf*z2*z3 - 131040*sinf^2*z2*z3 + 238944*z2^2*z3 - 
    503040*ln2*z3^2 + 309960*sinf*z3^2 - 234360*ln2^2*z5 - 146160*sinf^2*z5 + 
    578520*z2*z5 - 1069605*z7)/161280, H[1, 1, 1, -1, 1, 0, 0, 1] -> 
  (-241920*li7half + 48*ln2^7 - 133920*ln2*s6 + 133920*s7a - 37440*s7b + 
    161280*li6half*sinf + 224*ln2^6*sinf - 90720*s6*sinf - 
    40320*li5half*sinf^2 + 336*ln2^5*sinf^2 + 282240*li5half*z2 - 
    3360*ln2^5*z2 - 120960*li4half*sinf*z2 - 8400*ln2^4*sinf*z2 - 
    3360*ln2^3*sinf^2*z2 + 24024*ln2^3*z2^2 + 33768*ln2^2*sinf*z2^2 + 
    5544*ln2*sinf^2*z2^2 + 3192*sinf^3*z2^2 + 47376*ln2*z2^3 + 
    19080*sinf*z2^3 + 241920*li4half*z3 + 8820*ln2^4*z3 - 
    5040*ln2^3*sinf*z3 - 7560*ln2^2*sinf^2*z3 - 5040*ln2*sinf^3*z3 - 
    45360*ln2^2*z2*z3 + 30240*ln2*sinf*z2*z3 + 27720*sinf^2*z2*z3 - 
    66768*z2^2*z3 + 157320*ln2*z3^2 - 34650*sinf*z3^2 + 166005*ln2^2*z5 - 
    50085*sinf^2*z5 + 147150*z2*z5 - 396630*z7)/40320, 
 H[1, 1, 1, -1, 1, 0, -1, 1] -> (846720*li7half - 40320*li6half*ln2 - 
    20160*li5half*ln2^2 + 20160*li4half*ln2^3 + 784*ln2^7 - 187200*ln2*s6 + 
    86400*s7a - 135360*s7b - 725760*li6half*sinf - 40320*li5half*ln2*sinf + 
    60480*li4half*ln2^2*sinf + 1848*ln2^6*sinf - 282240*s6*sinf + 
    221760*li5half*sinf^2 + 60480*li4half*ln2*sinf^2 + 672*ln2^5*sinf^2 - 
    26880*li4half*sinf^3 - 1120*ln2^4*sinf^3 - 282240*li5half*z2 - 
    120960*li4half*ln2*z2 - 5712*ln2^5*z2 + 80640*li4half*sinf*z2 - 
    2520*ln2^4*sinf*z2 + 5040*ln2^2*sinf^3*z2 + 53088*ln2^3*z2^2 + 
    81144*ln2^2*sinf*z2^2 + 63504*ln2*sinf^2*z2^2 + 11088*sinf^3*z2^2 + 
    84600*ln2*z2^3 + 98280*sinf*z2^3 - 23520*li4half*z3 - 6440*ln2^4*z3 - 
    21840*ln2^3*sinf*z3 - 32760*ln2^2*sinf^2*z3 - 21840*ln2*sinf^3*z3 + 
    68040*ln2^2*z2*z3 + 131040*ln2*sinf*z2*z3 + 15120*sinf^2*z2*z3 + 
    66132*z2^2*z3 + 71250*ln2*z3^2 + 70560*sinf*z3^2 + 68355*ln2^2*z5 - 
    292950*ln2*sinf*z5 - 266175*sinf^2*z5 + 817200*z2*z5 - 1837170*z7)/40320, 
 H[1, 1, 1, -1, 1, -1, 1, 1] -> (1612800*li7half + 320*ln2^7 - 
    391680*ln2*s6 + 391680*s7a + 149760*s7b - 483840*li6half*sinf + 
    1568*ln2^6*sinf + 120960*s6*sinf + 2688*ln2^5*sinf^2 + 
    1120*ln2^4*sinf^3 - 9408*ln2^5*z2 - 26880*ln2^4*sinf*z2 - 
    26880*ln2^3*sinf^2*z2 - 6720*ln2^2*sinf^3*z2 + 9408*ln2^3*z2^2 - 
    14112*ln2^2*sinf*z2^2 - 16128*ln2*sinf^2*z2^2 + 672*sinf^3*z2^2 + 
    217440*ln2*z2^3 + 67104*sinf*z2^3 + 44240*ln2^4*z3 + 
    114240*ln2^3*sinf*z3 + 90720*ln2^2*sinf^2*z3 + 6720*ln2*sinf^3*z3 - 
    356160*ln2^2*z2*z3 - 362880*ln2*sinf*z2*z3 - 90720*sinf^2*z2*z3 - 
    328992*z2^2*z3 + 503040*ln2*z3^2 + 254520*sinf*z3^2 + 556920*ln2^2*z5 + 
    146160*sinf^2*z5 - 901080*z2*z5 + 1069605*z7)/161280, 
 H[1, 1, 1, -1, 1, -1, 0, 1] -> (-967680*li7half + 192*ln2^7 + 
    113280*ln2*s6 - 113280*s7a - 99840*s7b + 483840*li6half*sinf + 
    672*ln2^6*sinf - 80640*li5half*sinf^2 + 672*ln2^5*sinf^2 + 
    241920*li5half*z2 - 1120*ln2^5*z2 + 3360*ln2^4*sinf*z2 + 
    4480*ln2^3*sinf^2*z2 + 2240*ln2^2*sinf^3*z2 - 11424*ln2^3*z2^2 - 
    38976*ln2^2*sinf*z2^2 - 7392*ln2*sinf^2*z2^2 + 896*sinf^3*z2^2 - 
    91680*ln2*z2^3 - 81216*sinf*z2^3 - 2240*ln2^4*z3 - 8960*ln2^3*sinf*z3 - 
    13440*ln2^2*sinf^2*z3 - 8960*ln2*sinf^3*z3 + 112000*ln2^2*z2*z3 + 
    215040*ln2*sinf*z2*z3 + 47040*sinf^2*z2*z3 + 70816*z2^2*z3 - 
    159520*ln2*z3^2 - 117600*sinf*z3^2 - 13020*ln2^2*z5 - 12180*sinf^2*z5 + 
    393240*z2*z5 - 301995*z7)/53760, H[1, 1, 1, -1, 1, -1, -1, 1] -> 
  (-2257920*li7half - 832*ln2^7 + 576000*ln2*s6 - 576000*s7a + 149760*s7b - 
    4480*ln2^6*sinf + 483840*li5half*sinf^2 - 9408*ln2^5*sinf^2 - 
    161280*li4half*sinf^3 - 8960*ln2^4*sinf^3 - 483840*li5half*z2 + 
    26880*ln2^5*z2 + 483840*li4half*sinf*z2 + 94080*ln2^4*sinf*z2 + 
    94080*ln2^3*sinf^2*z2 + 53760*ln2^2*sinf^3*z2 + 6720*ln2^3*z2^2 + 
    104832*ln2^2*sinf*z2^2 + 229824*ln2*sinf^2*z2^2 + 64512*sinf^3*z2^2 - 
    259680*ln2*z2^3 - 37632*sinf*z2^3 - 322560*li4half*z3 - 137200*ln2^4*z3 - 
    369600*ln2^3*sinf*z3 - 393120*ln2^2*sinf^2*z3 - 154560*ln2*sinf^3*z3 + 
    1055040*ln2^2*z2*z3 + 1249920*ln2*sinf*z2*z3 + 231840*sinf^2*z2*z3 + 
    234144*z2^2*z3 - 1351680*ln2*z3^2 - 446040*sinf*z3^2 - 2235240*ln2^2*z5 - 
    1774080*ln2*sinf*z5 - 945000*sinf^2*z5 + 1369440*z2*z5 - 230715*z7)/
   322560, H[1, 1, 1, -1, 0, 1, 1, 1] -> 
  (322560*li7half - 64*ln2^7 + 599040*ln2*s6 - 599040*s7a + 610560*s7b - 
    322560*li6half*sinf - 448*ln2^6*sinf + 1209600*s6*sinf + 
    161280*li5half*sinf^2 - 1344*ln2^5*sinf^2 - 53760*li4half*sinf^3 - 
    2240*ln2^4*sinf^3 - 161280*li5half*z2 + 2688*ln2^5*z2 + 
    161280*li4half*sinf*z2 + 13440*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 + 
    13440*ln2^2*sinf^3*z2 - 71232*ln2^3*z2^2 - 213696*ln2^2*sinf*z2^2 - 
    173376*ln2*sinf^2*z2^2 + 6720*sinf^3*z2^2 - 512352*ln2*z2^3 - 
    75456*sinf*z2^3 - 430080*li4half*z3 - 16240*ln2^4*z3 + 
    6720*ln2^3*sinf*z3 + 10080*ln2^2*sinf^2*z3 + 6720*ln2*sinf^3*z3 + 
    87360*ln2^2*z2*z3 - 40320*ln2*sinf*z2*z3 - 10080*sinf^2*z2*z3 - 
    384864*z2^2*z3 - 735360*ln2*z3^2 - 294840*sinf*z3^2 - 1171800*ln2^2*z5 + 
    204120*sinf^2*z5 - 2035440*z2*z5 + 6128865*z7)/322560, 
 H[1, 1, 1, -1, 0, 1, 0, 1] -> (-645120*li7half + 128*ln2^7 - 351360*ln2*s6 + 
    351360*s7a + 230400*s7b + 645120*li6half*sinf + 896*ln2^6*sinf - 
    120960*s6*sinf - 322560*li5half*sinf^2 + 2688*ln2^5*sinf^2 + 
    107520*li4half*sinf^3 + 4480*ln2^4*sinf^3 + 806400*li5half*z2 - 
    9408*ln2^5*z2 - 806400*li4half*sinf*z2 - 47040*ln2^4*sinf*z2 - 
    26880*ln2^3*sinf^2*z2 - 26880*ln2^2*sinf^3*z2 + 51744*ln2^3*z2^2 + 
    155232*ln2^2*sinf*z2^2 - 46368*ln2*sinf^2*z2^2 - 34272*sinf^3*z2^2 + 
    232416*ln2*z2^3 + 134880*sinf*z2^3 + 1021440*li4half*z3 + 
    52640*ln2^4*z3 + 40320*ln2^3*sinf*z3 + 60480*ln2^2*sinf^2*z3 + 
    40320*ln2*sinf^3*z3 - 376320*ln2^2*z2*z3 - 241920*ln2*sinf*z2*z3 - 
    10080*sinf^2*z2*z3 - 378720*z2^2*z3 + 519840*ln2*z3^2 - 40320*sinf*z3^2 + 
    117180*ln2^2*z5 + 326340*sinf^2*z5 - 941400*z2*z5 + 1171665*z7)/161280, 
 H[1, 1, 1, -1, 0, 1, -1, 1] -> (-8709120*li7half + 1612800*li6half*ln2 + 
    645120*li5half*ln2^2 - 53760*li4half*ln2^3 - 3648*ln2^7 + 
    2004480*ln2*s6 - 1198080*s7a + 1785600*s7b + 9676800*li6half*sinf + 
    1290240*li5half*ln2*sinf - 161280*li4half*ln2^2*sinf - 4032*ln2^6*sinf + 
    4999680*s6*sinf - 2096640*li5half*sinf^2 - 161280*li4half*ln2*sinf^2 + 
    10752*ln2^5*sinf^2 + 215040*li4half*sinf^3 + 8960*ln2^4*sinf^3 + 
    1451520*li5half*z2 - 161280*li4half*ln2*z2 - 1344*ln2^5*z2 - 
    483840*li4half*sinf*z2 + 6720*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 + 
    26880*ln2^2*sinf^3*z2 - 219072*ln2^3*z2^2 - 713664*ln2^2*sinf*z2^2 - 
    580608*ln2*sinf^2*z2^2 - 75264*sinf^3*z2^2 - 477792*ln2*z2^3 - 
    1007424*sinf*z2^3 + 470400*li4half*z3 + 41440*ln2^4*z3 + 
    87360*ln2^3*sinf*z3 + 131040*ln2^2*sinf^2*z3 + 87360*ln2*sinf^3*z3 - 
    218400*ln2^2*z2*z3 - 100800*ln2*sinf*z2*z3 - 131040*sinf^2*z2*z3 - 
    631632*z2^2*z3 - 1872240*ln2*z3^2 - 1786680*sinf*z3^2 - 
    4062240*ln2^2*z5 - 2343600*ln2*sinf*z5 + 2295720*sinf^2*z5 - 
    6462360*z2*z5 + 16580475*z7)/322560, H[1, 1, 1, -1, 0, 0, 1, 1] -> 
  (322560*li7half - 64*ln2^7 - 403200*ln2*s6 + 403200*s7a - 80640*s7b - 
    322560*li6half*sinf - 448*ln2^6*sinf - 483840*s6*sinf + 
    161280*li5half*sinf^2 - 1344*ln2^5*sinf^2 - 53760*li4half*sinf^3 - 
    2240*ln2^4*sinf^3 + 322560*li5half*z2 - 1344*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 6720*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 + 
    13440*ln2^2*sinf^3*z2 + 29568*ln2^3*z2^2 + 88704*ln2^2*sinf*z2^2 + 
    8064*ln2*sinf^2*z2^2 + 16128*sinf^3*z2^2 + 197856*ln2*z2^3 + 
    174720*sinf*z2^3 + 698880*li4half*z3 + 24080*ln2^4*z3 - 
    20160*ln2^3*sinf*z3 - 30240*ln2^2*sinf^2*z3 - 20160*ln2*sinf^3*z3 - 
    114240*ln2^2*z2*z3 + 120960*ln2*sinf*z2*z3 + 161280*sinf^2*z2*z3 - 
    118944*z2^2*z3 + 463680*ln2*z3^2 - 63000*sinf*z3^2 + 468720*ln2^2*z5 - 
    428400*sinf^2*z5 + 675360*z2*z5 - 2110185*z7)/161280, 
 H[1, 1, 1, -1, 0, 0, 0, 1] -> (67200*ln2*s6 - 67200*s7a + 67200*s6*sinf - 
    53760*li5half*z2 + 448*ln2^5*z2 + 53760*li4half*sinf*z2 + 
    2240*ln2^4*sinf*z2 - 7840*ln2^3*z2^2 - 23520*ln2^2*sinf*z2^2 - 
    10080*ln2*sinf^2*z2^2 - 1568*sinf^3*z2^2 - 19488*ln2*z2^3 - 
    16032*sinf*z2^3 - 134400*li4half*z3 - 5600*ln2^4*z3 + 33600*ln2^2*z2*z3 - 
    10080*sinf^2*z2*z3 + 35504*z2^2*z3 - 84000*ln2*z3^2 + 6720*sinf*z3^2 - 
    65100*ln2^2*z5 + 38220*sinf^2*z5 - 90720*z2*z5 + 197925*z7)/26880, 
 H[1, 1, 1, -1, 0, 0, -1, 1] -> (-645120*li7half - 322560*li6half*ln2 - 
    161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 1216*ln2^7 - 11520*ln2*s6 + 
    92160*s7a - 472320*s7b - 322560*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 4032*ln2^6*sinf - 403200*s6*sinf - 
    322560*li5half*sinf^2 - 161280*li4half*ln2*sinf^2 - 4032*ln2^5*sinf^2 + 
    725760*li5half*z2 + 322560*li4half*ln2*z2 + 11424*ln2^5*z2 - 
    80640*li4half*sinf*z2 + 10080*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 - 
    53088*ln2^3*z2^2 - 78624*ln2^2*sinf*z2^2 - 98784*ln2*sinf^2*z2^2 - 
    3360*sinf^3*z2^2 - 130464*ln2*z2^3 - 54912*sinf*z2^3 - 
    100800*li4half*z3 + 840*ln2^4*z3 + 20160*ln2^3*sinf*z3 + 
    30240*ln2^2*sinf^2*z3 + 20160*ln2*sinf^3*z3 - 35280*ln2^2*z2*z3 - 
    120960*ln2*sinf*z2*z3 + 35280*sinf^2*z2*z3 + 102360*z2^2*z3 + 
    363420*ln2*z3^2 + 175140*sinf*z3^2 + 1171800*ln2^2*z5 + 
    1249920*ln2*sinf*z5 + 272160*sinf^2*z5 + 505440*z2*z5 - 1319715*z7)/
   161280, H[1, 1, 1, -1, 0, -1, 1, 1] -> 
  (9676800*li7half + 161280*li5half*ln2^2 + 107520*li4half*ln2^3 + 
    1216*ln2^7 - 506880*ln2*s6 + 506880*s7a - 1992960*s7b - 
    7741440*li6half*sinf + 161280*li4half*ln2^2*sinf - 4032*ln2^6*sinf - 
    3709440*s6*sinf + 2257920*li5half*sinf^2 - 18816*ln2^5*sinf^2 - 
    215040*li4half*sinf^3 - 8960*ln2^4*sinf^3 - 2419200*li5half*z2 + 
    161280*li4half*ln2*z2 + 33600*ln2^5*z2 + 483840*li4half*sinf*z2 + 
    60480*ln2^4*sinf*z2 + 67200*ln2^3*sinf^2*z2 - 26880*ln2^2*sinf^3*z2 + 
    143808*ln2^3*z2^2 + 729792*ln2^2*sinf*z2^2 + 596736*ln2*sinf^2*z2^2 + 
    67200*sinf^3*z2^2 + 338976*ln2*z2^3 + 945216*sinf*z2^3 - 
    389760*li4half*z3 - 135520*ln2^4*z3 - 336000*ln2^3*sinf*z3 - 
    292320*ln2^2*sinf^2*z3 - 53760*ln2*sinf^3*z3 + 944160*ln2^2*z2*z3 + 
    745920*ln2*sinf*z2*z3 + 292320*sinf^2*z2*z3 + 1219440*z2^2*z3 + 
    526080*ln2*z3^2 + 738360*sinf*z3^2 + 1640520*ln2^2*z5 - 
    2625840*sinf^2*z5 + 9339480*z2*z5 - 22965435*z7)/322560, 
 H[1, 1, 1, -1, 0, -1, 0, 1] -> (-645120*li7half + 128*ln2^7 - 
    391680*ln2*s6 + 391680*s7a + 956160*s7b + 645120*li6half*sinf + 
    896*ln2^6*sinf + 564480*s6*sinf - 322560*li5half*sinf^2 + 
    2688*ln2^5*sinf^2 + 107520*li4half*sinf^3 + 4480*ln2^4*sinf^3 + 
    1370880*li5half*z2 + 241920*li4half*ln2*z2 - 4032*ln2^5*z2 - 
    887040*li4half*sinf*z2 - 50400*ln2^4*sinf*z2 - 26880*ln2^3*sinf^2*z2 - 
    26880*ln2^2*sinf^3*z2 + 28224*ln2^3*z2^2 + 145152*ln2^2*sinf*z2^2 - 
    76608*ln2*sinf^2*z2^2 - 36960*sinf^3*z2^2 + 403776*ln2*z2^3 + 
    164928*sinf*z2^3 + 840000*li4half*z3 + 48440*ln2^4*z3 + 
    53760*ln2^3*sinf*z3 + 80640*ln2^2*sinf^2*z3 + 53760*ln2*sinf^3*z3 - 
    688800*ln2^2*z2*z3 - 957600*ln2*sinf*z2*z3 - 166320*sinf^2*z2*z3 - 
    705144*z2^2*z3 + 597120*ln2*z3^2 + 147420*sinf*z3^2 - 546840*ln2^2*z5 + 
    650160*sinf^2*z5 - 5096880*z2*z5 + 8116785*z7)/161280, 
 H[1, 1, 1, -1, 0, -1, -1, 1] -> (-645120*li7half - 967680*li6half*ln2 - 
    483840*li5half*ln2^2 + 53760*li4half*ln2^3 + 5056*ln2^7 - 
    1267200*ln2*s6 + 299520*s7a + 702720*s7b - 967680*li6half*sinf - 
    645120*li5half*ln2*sinf + 322560*li4half*ln2^2*sinf + 17472*ln2^6*sinf - 
    725760*s6*sinf + 483840*li4half*ln2*sinf^2 + 20160*ln2^5*sinf^2 + 
    161280*li4half*sinf^3 + 6720*ln2^4*sinf^3 + 322560*li5half*z2 - 
    806400*li4half*ln2*z2 - 72576*ln2^5*z2 - 967680*li4half*sinf*z2 - 
    154560*ln2^4*sinf*z2 - 120960*ln2^3*sinf^2*z2 - 40320*ln2^2*sinf^3*z2 + 
    159936*ln2^3*z2^2 + 36288*ln2^2*sinf*z2^2 - 205632*ln2*sinf^2*z2^2 - 
    64512*sinf^3*z2^2 + 355680*ln2*z2^3 + 293184*sinf*z2^3 + 
    1088640*li4half*z3 + 188160*ln2^4*z3 + 430080*ln2^3*sinf*z3 + 
    433440*ln2^2*sinf^2*z3 + 147840*ln2*sinf^3*z3 - 1350720*ln2^2*z2*z3 - 
    1310400*ln2*sinf*z2*z3 - 221760*sinf^2*z2*z3 - 792720*z2^2*z3 + 
    1456320*ln2*z3^2 + 730800*sinf*z3^2 + 1406160*ln2^2*z5 + 
    2031120*ln2*sinf*z5 + 438480*sinf^2*z5 - 3530880*z2*z5 + 7115895*z7)/
   322560, H[1, 1, 1, -1, -1, 1, 1, 1] -> 
  (322560*li7half + 1216*ln2^7 - 230400*ln2*s6 + 230400*s7a + 311040*s7b + 
    4480*ln2^6*sinf + 5376*ln2^5*sinf^2 + 2240*ln2^4*sinf^3 - 
    17472*ln2^5*z2 - 33600*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 + 
    28224*ln2^3*z2^2 + 40320*ln2^2*sinf*z2^2 + 28224*ln2*sinf^2*z2^2 + 
    2688*sinf^3*z2^2 + 72288*ln2*z2^3 - 8064*sinf*z2^3 + 43120*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 - 10080*ln2^2*sinf^2*z3 - 6720*ln2*sinf^3*z3 - 
    221760*ln2^2*z2*z3 - 120960*ln2*sinf*z2*z3 + 10080*sinf^2*z2*z3 - 
    441888*z2^2*z3 + 274560*ln2*z3^2 + 123480*sinf*z3^2 - 78120*ln2^2*z5 - 
    73080*sinf^2*z5 - 843120*z2*z5 + 2439855*z7)/322560, 
 H[1, 1, 1, -1, -1, 1, 0, 1] -> (-5483520*li7half + 1088*ln2^7 + 
    1128960*ln2*s6 - 1128960*s7a + 1209600*s7b + 2903040*li6half*sinf + 
    4032*ln2^6*sinf + 1693440*s6*sinf - 645120*li5half*sinf^2 + 
    5376*ln2^5*sinf^2 + 107520*li4half*sinf^3 + 4480*ln2^4*sinf^3 + 
    645120*li5half*z2 + 1344*ln2^5*z2 - 322560*li4half*sinf*z2 + 
    6720*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 - 13440*ln2^2*sinf^3*z2 - 
    240576*ln2^3*z2^2 - 415296*ln2^2*sinf*z2^2 - 254016*ln2*sinf^2*z2^2 - 
    47040*sinf^3*z2^2 - 307296*ln2*z2^3 - 251712*sinf*z2^3 + 
    215040*li4half*z3 + 30800*ln2^4*z3 + 87360*ln2^3*sinf*z3 + 
    131040*ln2^2*sinf^2*z3 + 87360*ln2*sinf^3*z3 + 33600*ln2^2*z2*z3 - 
    362880*ln2*sinf*z2*z3 - 151200*sinf^2*z2*z3 - 261408*z2^2*z3 - 
    1236480*ln2*z3^2 - 546840*sinf*z3^2 - 2265480*ln2^2*z5 + 
    1020600*sinf^2*z5 - 4500720*z2*z5 + 10925145*z7)/322560, 
 H[1, 1, 1, -1, -1, 1, -1, 1] -> (-322560*li7half - 256*ln2^7 + 
    31680*ln2*s6 - 31680*s7a + 190080*s7b + 241920*li6half*sinf - 
    784*ln2^6*sinf + 241920*s6*sinf - 120960*li5half*sinf^2 - 
    336*ln2^5*sinf^2 + 40320*li4half*sinf^3 + 1120*ln2^4*sinf^3 + 
    120960*li5half*z2 + 2352*ln2^5*z2 - 120960*li4half*sinf*z2 - 
    1680*ln2^4*sinf*z2 - 6720*ln2^3*sinf^2*z2 - 10080*ln2^2*sinf^3*z2 - 
    12432*ln2^3*z2^2 - 26208*ln2^2*sinf*z2^2 - 53424*ln2*sinf^2*z2^2 - 
    16128*sinf^3*z2^2 + 39072*ln2*z2^3 + 12288*sinf*z2^3 + 80640*li4half*z3 + 
    1400*ln2^4*z3 + 23520*ln2^3*sinf*z3 + 55440*ln2^2*sinf^2*z3 + 
    36960*ln2*sinf^3*z3 - 70560*ln2^2*z2*z3 - 181440*ln2*sinf*z2*z3 - 
    55440*sinf^2*z2*z3 - 96480*z2^2*z3 - 46320*ln2*z3^2 - 3780*sinf*z3^2 - 
    234990*ln2^2*z5 - 40320*ln2*sinf*z5 + 232470*sinf^2*z5 - 777600*z2*z5 + 
    1508085*z7)/80640, H[1, 1, 1, -1, -1, 0, 1, 1] -> 
  (-967680*li7half + 192*ln2^7 + 42240*ln2*s6 - 42240*s7a - 203520*s7b + 
    645120*li6half*sinf + 896*ln2^6*sinf + 80640*s6*sinf - 
    161280*li5half*sinf^2 + 1344*ln2^5*sinf^2 + 268800*li5half*z2 - 
    2688*ln2^5*z2 + 4480*ln2^3*sinf^2*z2 + 8960*ln2^2*sinf^3*z2 + 
    9856*ln2^3*z2^2 - 36288*ln2^2*sinf*z2^2 - 34944*ln2*sinf^2*z2^2 + 
    1344*sinf^3*z2^2 - 86688*ln2*z2^3 - 96192*sinf*z2^3 - 2800*ln2^4*z3 - 
    11200*ln2^3*sinf*z3 - 16800*ln2^2*sinf^2*z3 - 11200*ln2*sinf^3*z3 + 
    105280*ln2^2*z2*z3 + 174720*ln2*sinf*z2*z3 + 23520*sinf^2*z2*z3 + 
    122016*z2^2*z3 - 75200*ln2*z3^2 - 106680*sinf*z3^2 + 156240*ln2^2*z5 + 
    97440*sinf^2*z5 + 508800*z2*z5 - 704205*z7)/107520, 
 H[1, 1, 1, -1, -1, 0, 0, 1] -> (645120*li7half - 128*ln2^7 + 40320*ln2*s6 - 
    40320*s7a - 483840*li6half*sinf - 672*ln2^6*sinf - 120960*s6*sinf + 
    161280*li5half*sinf^2 - 1344*ln2^5*sinf^2 - 26880*li4half*sinf^3 - 
    1120*ln2^4*sinf^3 - 564480*li5half*z2 + 7392*ln2^5*z2 + 
    241920*li4half*sinf*z2 + 20160*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 + 
    6720*ln2^2*sinf^3*z2 - 31584*ln2^3*z2^2 - 18144*ln2^2*sinf*z2^2 + 
    38304*ln2*sinf^2*z2^2 + 10080*sinf^3*z2^2 - 69984*ln2*z2^3 - 
    288*sinf*z2^3 - 215040*li4half*z3 - 12320*ln2^4*z3 - 
    13440*ln2^3*sinf*z3 - 20160*ln2^2*sinf^2*z3 - 13440*ln2*sinf^3*z3 + 
    94080*ln2^2*z2*z3 + 80640*ln2*sinf*z2*z3 + 15120*sinf^2*z2*z3 + 
    46368*z2^2*z3 - 77280*ln2*z3^2 + 50400*sinf*z3^2 - 39060*ln2^2*z5 - 
    192780*sinf^2*z5 + 501480*z2*z5 - 518805*z7)/80640, 
 H[1, 1, 1, -1, -1, 0, -1, 1] -> (-4515840*li7half + 322560*li6half*ln2 + 
    161280*li5half*ln2^2 - 161280*li4half*ln2^3 - 6720*ln2^7 + 
    2073600*ln2*s6 - 1267200*s7a - 380160*s7b + 3548160*li6half*sinf + 
    322560*li5half*ln2*sinf - 483840*li4half*ln2^2*sinf - 17920*ln2^6*sinf + 
    1370880*s6*sinf - 645120*li5half*sinf^2 - 483840*li4half*ln2*sinf^2 - 
    14784*ln2^5*sinf^2 - 161280*li4half*sinf^3 - 6720*ln2^4*sinf^3 + 
    645120*li5half*z2 + 967680*li4half*ln2*z2 + 68544*ln2^5*z2 + 
    967680*li4half*sinf*z2 + 134400*ln2^4*sinf*z2 + 94080*ln2^3*sinf^2*z2 + 
    53760*ln2^2*sinf^3*z2 - 405888*ln2^3*z2^2 - 592704*ln2^2*sinf*z2^2 - 
    48384*ln2*sinf^2*z2^2 + 64512*sinf^3*z2^2 - 900000*ln2*z2^3 - 
    753408*sinf*z2^3 - 1169280*li4half*z3 - 87360*ln2^4*z3 - 
    154560*ln2^3*sinf*z3 - 231840*ln2^2*sinf^2*z3 - 154560*ln2*sinf^3*z3 + 
    863520*ln2^2*z2*z3 + 1088640*ln2*sinf*z2*z3 + 241920*sinf^2*z2*z3 + 
    671760*z2^2*z3 - 1754520*ln2*z3^2 - 972720*sinf*z3^2 - 781200*ln2^2*z5 + 
    156240*ln2*sinf*z5 + 176400*sinf^2*z5 + 839520*z2*z5 + 372285*z7)/322560, 
 H[1, 1, 1, -1, -1, -1, 1, 1] -> (967680*li7half - 1472*ln2^7 - 
    57600*ln2*s6 + 57600*s7a - 910080*s7b - 967680*li6half*sinf - 
    5824*ln2^6*sinf - 967680*s6*sinf + 322560*li5half*sinf^2 - 
    8064*ln2^5*sinf^2 - 53760*li4half*sinf^3 - 4480*ln2^4*sinf^3 - 
    322560*li5half*z2 + 25536*ln2^5*z2 + 161280*li4half*sinf*z2 + 
    60480*ln2^4*sinf*z2 + 40320*ln2^3*sinf^2*z2 + 13440*ln2^2*sinf^3*z2 + 
    53760*ln2^3*z2^2 + 161280*ln2^2*sinf*z2^2 + 129024*ln2*sinf^2*z2^2 + 
    21504*sinf^3*z2^2 - 87840*ln2*z2^3 + 82944*sinf*z2^3 - 
    107520*li4half*z3 - 101360*ln2^4*z3 - 208320*ln2^3*sinf*z3 - 
    151200*ln2^2*sinf^2*z3 - 47040*ln2*sinf^3*z3 + 571200*ln2^2*z2*z3 + 
    604800*ln2*sinf*z2*z3 + 151200*sinf^2*z2*z3 + 581856*z2^2*z3 - 
    22080*ln2*z3^2 - 22680*sinf*z3^2 + 614880*ln2^2*z5 - 619920*sinf^2*z5 + 
    3646080*z2*z5 - 7752105*z7)/322560, H[1, 1, 1, -1, -1, -1, 0, 1] -> 
  (1128960*li7half - 224*ln2^7 - 282240*ln2*s6 + 282240*s7a - 
    483840*li6half*sinf - 672*ln2^6*sinf - 120960*s6*sinf + 
    40320*li5half*sinf^2 - 336*ln2^5*sinf^2 + 13440*li4half*sinf^3 + 
    560*ln2^4*sinf^3 + 40320*li5half*z2 - 3024*ln2^5*z2 - 
    120960*li4half*sinf*z2 - 15120*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 - 
    6720*ln2^2*sinf^3*z2 + 59808*ln2^3*z2^2 + 102816*ln2^2*sinf*z2^2 + 
    12096*ln2*sinf^2*z2^2 - 5376*sinf^3*z2^2 + 165312*ln2*z2^3 + 
    98496*sinf*z2^3 + 107520*li4half*z3 + 7840*ln2^4*z3 + 
    13440*ln2^3*sinf*z3 + 20160*ln2^2*sinf^2*z3 + 13440*ln2*sinf^3*z3 - 
    215040*ln2^2*z2*z3 - 241920*ln2*sinf*z2*z3 - 40320*sinf^2*z2*z3 - 
    81312*z2^2*z3 + 379680*ln2*z3^2 + 151200*sinf*z3^2 + 273420*ln2^2*z5 + 
    37800*sinf^2*z5 - 268380*z2*z5 - 356265*z7)/80640, 
 H[1, 1, 1, -1, -1, -1, -1, 1] -> (-161280*li7half + 352*ln2^7 + 
    40320*ln2*s6 - 40320*s7a + 161280*li6half*sinf + 1344*ln2^6*sinf + 
    40320*s6*sinf - 40320*li5half*sinf^2 + 1680*ln2^5*sinf^2 + 
    560*ln2^4*sinf^3 + 40320*li5half*z2 - 5712*ln2^5*z2 - 
    11760*ln2^4*sinf*z2 - 6720*ln2^3*sinf^2*z2 - 11424*ln2^3*z2^2 - 
    34272*ln2^2*sinf*z2^2 - 16128*ln2*sinf^2*z2^2 - 27072*ln2*z2^3 - 
    29952*sinf*z2^3 + 21280*ln2^4*z3 + 40320*ln2^3*sinf*z3 + 
    20160*ln2^2*sinf^2*z3 - 80640*ln2^2*z2*z3 - 40320*ln2*sinf*z2*z3 - 
    6048*z2^2*z3 + 30240*ln2*z3^2 - 10080*sinf*z3^2 + 122220*ln2^2*z5 + 
    161280*ln2*sinf*z5 + 40320*sinf^2*z5 - 122220*z2*z5 + 281295*z7)/80640, 
 H[1, 1, 0, 1, 1, 1, 1, 1] -> (-16*sinf*z2^3 + 7*sinf^2*z5 - 7*z2*z5 + 
    210*z7)/14, H[1, 1, 0, 1, 1, 1, 0, 1] -> 
  (236*sinf*z2^3 + 105*sinf^2*z2*z3 + 147*z2^2*z3 - 210*sinf*z3^2 - 
    315*sinf^2*z5 + 1155*z2*z5 - 3780*z7)/210, 
 H[1, 1, 0, 1, 1, 1, -1, 1] -> (-6451200*li7half - 3225600*li6half*ln2 - 
    645120*li5half*ln2^2 - 53760*li4half*ln2^3 - 64*ln2^7 + 599040*ln2*s6 - 
    599040*s7a + 610560*s7b - 1935360*li6half*sinf - 
    1290240*li5half*ln2*sinf - 161280*li4half*ln2^2*sinf + 1344*ln2^6*sinf - 
    725760*s6*sinf - 322560*li5half*sinf^2 - 161280*li4half*ln2*sinf^2 - 
    4032*ln2^5*sinf^2 + 967680*li5half*z2 + 322560*li4half*ln2*z2 + 
    5376*ln2^5*z2 + 161280*li4half*sinf*z2 - 20160*ln2^4*sinf*z2 + 
    53760*ln2^3*sinf^2*z2 + 17472*ln2^3*z2^2 - 229824*ln2^2*sinf*z2^2 - 
    8064*ln2*sinf^2*z2^2 + 409824*ln2*z2^3 + 405504*sinf*z2^3 - 
    282240*li4half*z3 - 11760*ln2^4*z3 + 70560*ln2^2*z2*z3 + 
    141120*sinf^2*z2*z3 + 127872*z2^2*z3 - 748800*ln2*z3^2 - 
    10080*sinf*z3^2 - 1171800*ln2^2*z5 - 5040*sinf^2*z5 - 1826280*z2*z5 + 
    6128865*z7)/322560, H[1, 1, 0, 1, 1, 0, 1, 1] -> 
  (-24*sinf*z2^3 - 20*sinf^2*z2*z3 - 28*z2^2*z3 + 40*sinf*z3^2 + 
    45*sinf^2*z5 + 75*z2*z5 + 60*z7)/20, H[1, 1, 0, 1, 1, 0, 0, 1] -> 
  (-340*sinf*z2^3 + 420*sinf^2*z2*z3 + 504*z2^2*z3 - 420*sinf*z3^2 - 
    210*sinf^2*z5 - 3570*z2*z5 + 6405*z7)/840, 
 H[1, 1, 0, 1, 1, 0, -1, 1] -> (-67840*ln2*s6 - 66560*s7a + 67840*s7b - 
    134400*s6*sinf + 11872*ln2*z2^3 - 45504*sinf*z2^3 - 3360*sinf^2*z2*z3 - 
    35184*z2^2*z3 - 19080*ln2*z3^2 + 63000*sinf*z3^2 + 260400*ln2*sinf*z5 + 
    14840*sinf^2*z5 - 241000*z2*z5 + 524325*z7)/35840, 
 H[1, 1, 0, 1, 1, -1, 1, 1] -> (4838400*li7half - 967680*li5half*ln2^2 - 
    322560*li4half*ln2^3 - 6336*ln2^7 + 207360*ln2*s6 - 207360*s7a - 
    1416960*s7b - 645120*li6half*sinf - 483840*li4half*ln2^2*sinf - 
    21056*ln2^6*sinf - 241920*s6*sinf + 645120*li5half*sinf^2 - 
    5376*ln2^5*sinf^2 + 322560*li5half*z2 + 967680*li4half*ln2*z2 + 
    57792*ln2^5*z2 + 483840*li4half*sinf*z2 + 154560*ln2^4*sinf*z2 - 
    67200*ln2^3*sinf^2*z2 - 267456*ln2^3*z2^2 + 100800*ln2^2*sinf*z2^2 + 
    213696*ln2*sinf^2*z2^2 + 367776*ln2*z2^3 - 331776*sinf*z2^3 - 
    1693440*li4half*z3 - 105840*ln2^4*z3 - 94080*ln2^3*sinf*z3 - 
    70560*ln2^2*sinf^2*z3 + 705600*ln2^2*z2*z3 + 282240*ln2*sinf*z2*z3 - 
    352800*sinf^2*z2*z3 + 696672*z2^2*z3 - 259200*ln2*z3^2 + 
    690480*sinf*z3^2 + 1171800*ln2^2*z5 + 73080*sinf^2*z5 + 4127040*z2*z5 - 
    11430315*z7)/322560, H[1, 1, 0, 1, 1, -1, 0, 1] -> 
  (-105600*ln2*s6 + 105600*s7a + 11520*s7b + 6720*s6*sinf - 
    53760*li5half*sinf^2 + 448*ln2^5*sinf^2 - 80640*li5half*z2 - 
    120960*li4half*ln2*z2 - 4368*ln2^5*z2 - 67200*li4half*sinf*z2 - 
    2800*ln2^4*sinf*z2 - 4480*ln2^3*sinf^2*z2 + 23520*ln2^3*z2^2 + 
    31920*ln2^2*sinf*z2^2 - 17808*ln2*sinf^2*z2^2 - 20976*ln2*z2^3 + 
    35264*sinf*z2^3 + 157920*li4half*z3 + 6580*ln2^4*z3 - 57120*ln2^2*z2*z3 - 
    35280*ln2*sinf*z2*z3 + 15960*sinf^2*z2*z3 - 39600*z2^2*z3 + 
    132000*ln2*z3^2 - 27090*sinf*z3^2 + 91140*ln2^2*z5 + 20790*sinf^2*z5 - 
    42030*z2*z5 + 217065*z7)/26880, H[1, 1, 0, 1, 1, -1, -1, 1] -> 
  (322560*li7half + 3225600*li6half*ln2 + 1935360*li5half*ln2^2 + 
    483840*li4half*ln2^3 + 8448*ln2^7 + 391680*ln2*s6 - 391680*s7a + 
    1140480*s7b + 2580480*li6half*sinf + 1935360*li5half*ln2*sinf + 
    967680*li4half*ln2^2*sinf + 27776*ln2^6*sinf + 403200*s6*sinf + 
    645120*li5half*sinf^2 + 483840*li4half*ln2*sinf^2 + 14784*ln2^5*sinf^2 - 
    1612800*li5half*z2 - 1451520*li4half*ln2*z2 - 72576*ln2^5*z2 - 
    483840*li4half*sinf*z2 - 154560*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 + 
    263424*ln2^3*z2^2 - 76608*ln2^2*sinf*z2^2 + 68544*ln2*sinf^2*z2^2 - 
    217440*ln2*z2^3 - 316800*sinf*z2^3 + 967680*li4half*z3 + 75600*ln2^4*z3 + 
    94080*ln2^3*sinf*z3 + 70560*ln2^2*sinf^2*z3 - 453600*ln2^2*z2*z3 - 
    141120*ln2*sinf*z2*z3 + 30240*sinf^2*z2*z3 - 676656*z2^2*z3 - 
    330840*ln2*z3^2 - 186480*sinf*z3^2 - 1718640*ln2^2*z5 - 
    468720*ln2*sinf*z5 - 698040*sinf^2*z5 - 2465640*z2*z5 + 6581745*z7)/
   322560, H[1, 1, 0, 1, 0, 1, 1, 1] -> 
  (32*sinf*z2^3 + 42*sinf^2*z2*z3 + 126*z2^2*z3 - 112*sinf*z3^2 - 
    77*sinf^2*z5 + 77*z2*z5 - 504*z7)/28, H[1, 1, 0, 1, 0, 1, 0, 1] -> 
  (-248*sinf*z2^3 - 560*sinf^2*z2*z3 - 1568*z2^2*z3 + 2240*sinf*z3^2 + 
    560*sinf^2*z5 - 1680*z2*z5 + 5495*z7)/560, 
 H[1, 1, 0, 1, 0, 1, -1, 1] -> (1290240*li7half + 967680*li6half*ln2 + 
    322560*li5half*ln2^2 + 53760*li4half*ln2^3 + 640*ln2^7 - 8640*ln2*s6 + 
    69120*s7a + 190080*s7b + 967680*li6half*sinf + 645120*li5half*ln2*sinf + 
    161280*li4half*ln2^2*sinf + 2688*ln2^6*sinf + 383040*s6*sinf + 
    322560*li5half*sinf^2 + 161280*li4half*ln2*sinf^2 + 4032*ln2^5*sinf^2 - 
    645120*li5half*z2 - 322560*li4half*ln2*z2 - 9408*ln2^5*z2 - 
    161280*li4half*sinf*z2 - 13440*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 + 
    26880*ln2^3*z2^2 + 40320*ln2^2*sinf*z2^2 + 83664*ln2*sinf^2*z2^2 + 
    61776*ln2*z2^3 - 95184*sinf*z2^3 + 282240*li4half*z3 + 11760*ln2^4*z3 - 
    70560*ln2^2*z2*z3 - 241920*ln2*sinf*z2*z3 - 35280*sinf^2*z2*z3 - 
    281448*z2^2*z3 + 213660*ln2*z3^2 + 11340*sinf*z3^2 - 351540*ln2^2*z5 - 
    468720*ln2*sinf*z5 - 286020*sinf^2*z5 - 41760*z2*z5 + 203985*z7)/80640, 
 H[1, 1, 0, 1, 0, 0, 1, 1] -> (-572*sinf*z2^3 - 840*sinf^2*z2*z3 - 
    336*z2^2*z3 + 840*sinf*z3^2 + 1890*sinf^2*z5 - 6510*z2*z5 + 13755*z7)/
   840, H[1, 1, 0, 1, 0, 0, 0, 1] -> 
  (1184*sinf*z2^3 + 1680*z2^2*z3 - 1680*sinf*z3^2 - 3360*sinf^2*z5 + 
    12600*z2*z5 - 23205*z7)/1680, H[1, 1, 0, 1, 0, 0, -1, 1] -> 
  (26880*ln2*s6 + 161280*s7a - 26880*s7b + 188160*s6*sinf - 4704*ln2*z2^3 + 
    43712*sinf*z2^3 + 3360*sinf^2*z2*z3 + 73584*z2^2*z3 + 7560*ln2*z3^2 - 
    130200*sinf*z3^2 - 364560*ln2*sinf*z5 + 9240*sinf^2*z5 + 110040*z2*z5 - 
    171465*z7)/53760, H[1, 1, 0, 1, 0, -1, 1, 1] -> 
  (-645120*li7half + 322560*li5half*ln2^2 + 215040*li4half*ln2^3 + 
    6400*ln2^7 - 685440*ln2*s6 + 685440*s7a + 322560*s7b - 
    645120*li6half*sinf + 322560*li4half*ln2^2*sinf + 12544*ln2^6*sinf - 
    282240*s6*sinf - 322560*li5half*sinf^2 + 2688*ln2^5*sinf^2 - 
    645120*li4half*ln2*z2 - 56448*ln2^5*z2 - 322560*li4half*sinf*z2 - 
    80640*ln2^4*sinf*z2 - 26880*ln2^3*sinf^2*z2 + 161280*ln2^3*z2^2 + 
    80640*ln2^2*sinf*z2^2 - 167328*ln2*sinf^2*z2^2 - 576*ln2*z2^3 + 
    169632*sinf*z2^3 + 1128960*li4half*z3 + 117600*ln2^4*z3 + 
    188160*ln2^3*sinf*z3 + 141120*ln2^2*sinf^2*z3 - 846720*ln2^2*z2*z3 - 
    80640*ln2*sinf*z2*z3 + 40320*sinf^2*z2*z3 - 465696*z2^2*z3 + 
    856800*ln2*z3^2 - 25200*sinf*z3^2 + 703080*ln2^2*z5 + 326340*sinf^2*z5 - 
    1614060*z2*z5 + 4398975*z7)/161280, H[1, 1, 0, 1, 0, -1, 0, 1] -> 
  (107520*ln2*s6 - 107520*s7a - 107520*s7b + 107520*li5half*z2 + 
    107520*li4half*ln2*z2 + 3584*ln2^5*z2 + 107520*li4half*sinf*z2 + 
    4480*ln2^4*sinf*z2 - 17920*ln2^3*z2^2 - 26880*ln2^2*sinf*z2^2 - 
    18816*ln2*z2^3 - 30560*sinf*z2^3 - 188160*li4half*z3 - 7840*ln2^4*z3 + 
    94080*ln2^2*z2*z3 + 94080*ln2*sinf*z2*z3 + 2240*sinf^2*z2*z3 + 
    87808*z2^2*z3 - 134400*ln2*z3^2 + 2800*sinf*z3^2 - 17920*sinf^2*z5 + 
    347900*z2*z5 - 912625*z7)/17920, H[1, 1, 0, 1, 0, -1, -1, 1] -> 
  (-3870720*li7half - 3870720*li6half*ln2 - 1935360*li5half*ln2^2 - 
    645120*li4half*ln2^3 - 15360*ln2^7 + 610560*ln2*s6 - 288000*s7a - 
    610560*s7b - 2580480*li6half*sinf - 2580480*li5half*ln2*sinf - 
    1290240*li4half*ln2^2*sinf - 35840*ln2^6*sinf - 403200*s6*sinf - 
    645120*li5half*sinf^2 - 645120*li4half*ln2*sinf^2 - 21504*ln2^5*sinf^2 + 
    1935360*li5half*z2 + 1935360*li4half*ln2*z2 + 129024*ln2^5*z2 + 
    645120*li4half*sinf*z2 + 188160*ln2^4*sinf*z2 + 107520*ln2^3*sinf^2*z2 - 
    322560*ln2^3*z2^2 - 161280*ln2^2*sinf*z2^2 - 106848*ln2*z2^3 + 
    308736*sinf*z2^3 - 1290240*li4half*z3 - 194880*ln2^4*z3 - 
    376320*ln2^3*sinf*z3 - 282240*ln2^2*sinf^2*z3 + 1169280*ln2^2*z2*z3 + 
    564480*ln2*sinf*z2*z3 + 70560*sinf^2*z2*z3 + 792432*z2^2*z3 - 
    957240*ln2*z3^2 - 63000*sinf*z3^2 + 781200*ln2*sinf*z5 + 
    519120*sinf^2*z5 + 893880*z2*z5 - 1665315*z7)/322560, 
 H[1, 1, 0, 1, -1, 1, 1, 1] -> (-1935360*li7half - 161280*li4half*ln2^3 - 
    6336*ln2^7 + 207360*ln2*s6 - 207360*s7a - 1416960*s7b + 
    2257920*li6half*sinf + 3136*ln2^6*sinf + 241920*s6*sinf - 
    967680*li5half*sinf^2 + 8064*ln2^5*sinf^2 + 967680*li5half*z2 + 
    483840*li4half*ln2*z2 + 44352*ln2^5*z2 - 47040*ln2^4*sinf*z2 + 
    40320*ln2^3*sinf^2*z2 + 12096*ln2^3*z2^2 + 124992*ln2^2*sinf*z2^2 - 
    229824*ln2*sinf^2*z2^2 - 349920*ln2*z2^3 - 55296*sinf*z2^3 - 
    846720*li4half*z3 - 105840*ln2^4*z3 - 94080*ln2^3*sinf*z3 + 
    635040*ln2^2*z2*z3 + 282240*ln2*sinf*z2*z3 + 423360*sinf^2*z2*z3 + 
    1952640*z2^2*z3 - 259200*ln2*z3^2 - 1184400*sinf*z3^2 + 
    1171800*ln2^2*z5 + 73080*sinf^2*z5 + 4127040*z2*z5 - 11430315*z7)/322560, 
 H[1, 1, 0, 1, -1, 1, 0, 1] -> (80640*ln2*s6 - 80640*s7a + 295680*s7b + 
    268800*s6*sinf + 215040*li5half*sinf^2 - 1792*ln2^5*sinf^2 - 
    430080*li5half*z2 - 80640*li4half*ln2*z2 + 224*ln2^5*z2 + 
    161280*li4half*sinf*z2 + 6720*ln2^4*sinf*z2 + 17920*ln2^3*sinf^2*z2 - 
    15680*ln2^3*z2^2 - 100800*ln2^2*sinf*z2^2 + 30912*ln2*sinf^2*z2^2 - 
    15456*ln2*z2^3 - 37760*sinf*z2^3 - 94080*ln2^2*z2*z3 - 
    47040*ln2*sinf*z2*z3 - 26880*sinf^2*z2*z3 - 193200*z2^2*z3 - 
    100800*ln2*z3^2 - 364560*ln2^2*z5 - 127680*sinf^2*z5 - 655200*z2*z5 + 
    2077845*z7)/53760, H[1, 1, 0, 1, -1, 1, -1, 1] -> 
  (3225600*li7half - 645120*li6half*ln2 - 645120*li5half*ln2^2 + 3840*ln2^7 - 
    299520*ln2*s6 + 57600*s7a - 426240*s7b - 4193280*li6half*sinf - 
    1290240*li5half*ln2*sinf - 483840*li4half*ln2^2*sinf - 15232*ln2^6*sinf - 
    1532160*s6*sinf - 483840*li4half*ln2*sinf^2 - 20160*ln2^5*sinf^2 + 
    645120*li5half*z2 + 483840*li4half*ln2*z2 - 12096*ln2^5*z2 + 
    483840*li4half*sinf*z2 + 120960*ln2^4*sinf*z2 - 40320*ln2^3*sinf^2*z2 - 
    137088*ln2^3*z2^2 - 56448*ln2^2*sinf*z2^2 + 84672*ln2*sinf^2*z2^2 + 
    476064*ln2*z2^3 + 379584*sinf*z2^3 - 604800*li4half*z3 + 45360*ln2^4*z3 + 
    94080*ln2^3*sinf*z3 - 272160*ln2^2*z2*z3 - 282240*ln2*sinf*z2*z3 - 
    60480*sinf^2*z2*z3 + 165888*z2^2*z3 + 691920*ln2*z3^2 + 
    750960*sinf*z3^2 + 1406160*ln2^2*z5 + 1874880*ln2*sinf*z5 + 
    161280*sinf^2*z5 + 168480*z2*z5 - 4191345*z7)/322560, 
 H[1, 1, 0, 1, -1, 0, 1, 1] -> (-157440*ln2*s6 + 157440*s7a + 157440*s7b + 
    161280*s6*sinf - 430080*li5half*z2 - 322560*li4half*ln2*z2 - 
    9856*ln2^5*z2 + 107520*li4half*sinf*z2 + 4480*ln2^4*sinf*z2 + 
    44800*ln2^3*z2^2 - 26880*ln2^2*sinf*z2^2 + 20160*ln2*sinf^2*z2^2 - 
    32544*ln2*z2^3 - 113664*sinf*z2^3 - 13440*li4half*z3 - 560*ln2^4*z3 - 
    90720*ln2^2*z2*z3 - 188160*ln2*sinf*z2*z3 - 174720*sinf^2*z2*z3 - 
    360096*z2^2*z3 + 196800*ln2*z3^2 + 347760*sinf*z3^2 + 304920*sinf^2*z5 - 
    631320*z2*z5 + 2892285*z7)/107520, H[1, 1, 0, 1, -1, 0, 0, 1] -> 
  (11520*ln2*s6 - 11520*s7a - 11520*s7b - 268800*s6*sinf - 
    215040*li4half*sinf*z2 - 8960*ln2^4*sinf*z2 + 53760*ln2^2*sinf*z2^2 + 
    60480*ln2*sinf^2*z2^2 + 15264*ln2*z2^3 + 62272*sinf*z2^3 + 
    147840*li4half*z3 + 6160*ln2^4*z3 - 36960*ln2^2*z2*z3 + 
    20160*sinf^2*z2*z3 + 33216*z2^2*z3 - 14400*ln2*z3^2 - 1680*sinf*z3^2 - 
    116760*sinf^2*z5 + 366480*z2*z5 - 728415*z7)/53760, 
 H[1, 1, 0, 1, -1, 0, -1, 1] -> (10321920*li7half + 7741440*li6half*ln2 + 
    2580480*li5half*ln2^2 + 430080*li4half*ln2^3 + 5120*ln2^7 + 
    529920*ln2*s6 + 2373120*s7a - 126720*s7b + 7741440*li6half*sinf + 
    5160960*li5half*ln2*sinf + 1290240*li4half*ln2^2*sinf + 
    21504*ln2^6*sinf + 3709440*s6*sinf + 2580480*li5half*sinf^2 + 
    1290240*li4half*ln2*sinf^2 + 32256*ln2^5*sinf^2 - 5806080*li5half*z2 - 
    3064320*li4half*ln2*z2 - 90048*ln2^5*z2 - 1128960*li4half*sinf*z2 - 
    100800*ln2^4*sinf*z2 - 107520*ln2^3*sinf^2*z2 + 282240*ln2^3*z2^2 + 
    282240*ln2^2*sinf*z2^2 + 548352*ln2*sinf^2*z2^2 - 60192*ln2*z2^3 - 
    537408*sinf*z2^3 + 2298240*li4half*z3 + 95760*ln2^4*z3 - 
    715680*ln2^2*z2*z3 - 282240*ln2*sinf*z2*z3 - 40320*sinf^2*z2*z3 - 
    881856*z2^2*z3 + 1136880*ln2*z3^2 - 1239840*sinf*z3^2 - 781200*ln2^2*z5 - 
    6405840*ln2*sinf*z5 - 2555280*sinf^2*z5 + 6412680*z2*z5 - 9324225*z7)/
   322560, H[1, 1, 0, 1, -1, -1, 1, 1] -> 
  (-241920*li7half + 161280*li5half*ln2^2 + 120960*li4half*ln2^3 + 
    3744*ln2^7 - 336960*ln2*s6 + 336960*s7a + 236160*s7b - 
    80640*li6half*sinf + 120960*li4half*ln2^2*sinf + 4928*ln2^6*sinf + 
    20160*s6*sinf - 161280*li5half*sinf^2 + 1344*ln2^5*sinf^2 - 
    241920*li4half*ln2*z2 - 27888*ln2^5*z2 - 120960*li4half*sinf*z2 - 
    33600*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 + 60480*ln2^3*z2^2 + 
    26208*ln2^2*sinf*z2^2 - 53424*ln2*sinf^2*z2^2 + 40176*ln2*z2^3 + 
    16560*sinf*z2^3 + 393120*li4half*z3 + 60480*ln2^4*z3 + 
    94080*ln2^3*sinf*z3 + 52920*ln2^2*sinf^2*z3 - 345240*ln2^2*z2*z3 - 
    211680*ln2*sinf*z2*z3 - 52920*sinf^2*z2*z3 - 382896*z2^2*z3 + 
    421200*ln2*z3^2 + 168840*sinf*z3^2 + 156240*ln2^2*z5 + 255150*sinf^2*z5 - 
    1004310*z2*z5 + 2853045*z7)/80640, H[1, 1, 0, 1, -1, -1, 0, 1] -> 
  (410880*ln2*s6 - 410880*s7a - 787200*s7b - 188160*s6*sinf - 
    215040*li5half*sinf^2 + 1792*ln2^5*sinf^2 + 860160*li5half*z2 + 
    645120*li4half*ln2*z2 + 19712*ln2^5*z2 + 376320*li4half*sinf*z2 + 
    15680*ln2^4*sinf*z2 - 17920*ln2^3*sinf^2*z2 - 89600*ln2^3*z2^2 - 
    33600*ln2^2*sinf*z2^2 - 51072*ln2*sinf^2*z2^2 - 126240*ln2*z2^3 - 
    107840*sinf*z2^3 - 779520*li4half*z3 - 32480*ln2^4*z3 + 
    594720*ln2^2*z2*z3 + 517440*ln2*sinf*z2*z3 + 77280*sinf^2*z2*z3 + 
    629184*z2^2*z3 - 513600*ln2*z3^2 - 183960*sinf*z3^2 + 364560*ln2^2*z5 + 
    47040*sinf^2*z5 + 2212440*z2*z5 - 6082215*z7)/107520, 
 H[1, 1, 0, 1, -1, -1, -1, 1] -> (967680*li7half + 645120*li6half*ln2 - 
    322560*li5half*ln2^2 - 430080*li4half*ln2^3 - 14528*ln2^7 + 
    610560*ln2*s6 + 437760*s7a - 288000*s7b + 2257920*li6half*sinf + 
    645120*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 15680*ln2^6*sinf + 
    1290240*s6*sinf + 645120*li5half*sinf^2 + 161280*li4half*ln2*sinf^2 + 
    1344*ln2^5*sinf^2 - 967680*li5half*z2 + 161280*li4half*ln2*z2 + 
    86016*ln2^5*z2 - 161280*li4half*sinf*z2 + 80640*ln2^4*sinf*z2 + 
    53760*ln2^3*sinf^2*z2 - 103488*ln2^3*z2^2 + 32256*ln2^2*sinf*z2^2 + 
    205632*ln2*sinf^2*z2^2 - 181728*ln2*z2^3 - 129600*sinf*z2^3 + 
    161280*li4half*z3 - 169680*ln2^4*z3 - 376320*ln2^3*sinf*z3 - 
    211680*ln2^2*sinf^2*z3 + 735840*ln2^2*z2*z3 + 423360*ln2*sinf*z2*z3 + 
    70560*sinf^2*z2*z3 + 78768*z2^2*z3 - 428040*ln2*z3^2 - 624960*sinf*z3^2 - 
    546840*ln2^2*z5 - 2031120*ln2*sinf*z5 - 786240*sinf^2*z5 + 
    2670480*z2*z5 - 3721635*z7)/322560, H[1, 1, 0, 0, 1, 1, 1, 1] -> 
  (-80*sinf*z2^3 - 105*sinf^2*z2*z3 - 63*z2^2*z3 + 210*sinf*z3^2 + 
    210*sinf^2*z5 - 210*z2*z5 + 630*z7)/210, H[1, 1, 0, 0, 1, 1, 0, 1] -> 
  (26*sinf*z2^3 - 70*z2^2*z3 - 35*sinf^2*z5 + 105*z2*z5 - 35*z7)/140, 
 H[1, 1, 0, 0, 1, 1, -1, 1] -> (1290240*li7half - 322560*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 2048*ln2^7 + 69120*ln2*s6 - 69120*s7a - 
    472320*s7b - 645120*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 
    8064*ln2^6*sinf + 483840*s6*sinf - 322560*li5half*sinf^2 - 
    322560*li4half*ln2*sinf^2 - 10752*ln2^5*sinf^2 + 645120*li5half*z2 + 
    645120*li4half*ln2*z2 + 26880*ln2^5*z2 + 322560*li4half*sinf*z2 + 
    40320*ln2^4*sinf*z2 + 53760*ln2^3*sinf^2*z2 - 107520*ln2^3*z2^2 - 
    338688*ln2^2*sinf*z2^2 - 60480*ln2*sinf^2*z2^2 + 70560*ln2*z2^3 - 
    34944*sinf*z2^3 - 564480*li4half*z3 - 23520*ln2^4*z3 + 
    383040*ln2^2*z2*z3 - 10080*sinf^2*z2*z3 + 323280*z2^2*z3 + 
    37080*ln2*z3^2 - 168840*sinf*z3^2 + 624960*ln2^2*z5 + 
    468720*ln2*sinf*z5 + 380520*sinf^2*z5 + 785160*z2*z5 - 3885075*z7)/
   322560, H[1, 1, 0, 0, 1, 0, 1, 1] -> 
  (1480*sinf*z2^3 + 2520*sinf^2*z2*z3 + 4032*z2^2*z3 - 5040*sinf*z3^2 - 
    4620*sinf^2*z5 + 3780*z2*z5 - 18795*z7)/1680, 
 H[1, 1, 0, 0, 1, 0, 0, 1] -> (-304*sinf*z2^3 + 308*z2^2*z3 + 140*sinf*z3^2 + 
    840*sinf^2*z5 - 2100*z2*z5 + 2135*z7)/280, 
 H[1, 1, 0, 0, 1, 0, -1, 1] -> (-57600*ln2*s6 + 17280*s7a + 57600*s7b - 
    40320*s6*sinf + 10080*ln2*z2^3 - 11872*sinf*z2^3 - 3360*sinf^2*z2*z3 - 
    9168*z2^2*z3 - 16200*ln2*z3^2 + 19320*sinf*z3^2 + 78120*ln2*sinf*z5 + 
    8820*sinf^2*z5 - 225060*z2*z5 + 399045*z7)/26880, 
 H[1, 1, 0, 0, 1, -1, 1, 1] -> (-483840*li7half + 80640*li5half*ln2^2 - 
    576*ln2^7 + 112320*ln2*s6 - 112320*s7a + 28800*s7b - 
    322560*li6half*sinf - 448*ln2^6*sinf - 423360*s6*sinf - 
    80640*li5half*sinf^2 + 672*ln2^5*sinf^2 + 4704*ln2^5*z2 + 
    6720*ln2^4*sinf*z2 - 6720*ln2^3*sinf^2*z2 + 129024*ln2^2*sinf*z2^2 + 
    11088*ln2*sinf^2*z2^2 - 37584*ln2*z2^3 + 66288*sinf*z2^3 - 
    17640*ln2^4*z3 - 47040*ln2^3*sinf*z3 - 35280*ln2^2*sinf^2*z3 + 
    20160*ln2^2*z2*z3 + 141120*ln2*sinf*z2*z3 + 75600*sinf^2*z2*z3 + 
    151488*z2^2*z3 - 140400*ln2*z3^2 - 45360*sinf*z3^2 - 195300*ln2^2*z5 - 
    100170*sinf^2*z5 + 69750*z2*z5 - 254655*z7)/80640, 
 H[1, 1, 0, 0, 1, -1, 0, 1] -> (-1600*ln2*s6 + 1600*s7a + 1600*s7b + 
    22400*s6*sinf + 13440*li5half*z2 - 112*ln2^5*z2 + 1120*ln2^3*z2^2 - 
    5040*ln2*sinf^2*z2^2 + 5272*ln2*z2^3 - 72*sinf*z2^3 - 5880*ln2^2*z2*z3 - 
    11760*ln2*sinf*z2*z3 - 1960*sinf^2*z2*z3 + 16*z2^2*z3 + 2000*ln2*z3^2 - 
    2030*sinf*z3^2 + 11970*sinf^2*z5 - 41695*z2*z5 + 44985*z7)/4480, 
 H[1, 1, 0, 0, 1, -1, -1, 1] -> (-4515840*li7half - 3870720*li6half*ln2 - 
    1290240*li5half*ln2^2 - 107520*li4half*ln2^3 + 1792*ln2^7 - 
    1198080*ln2*s6 - 656640*s7a + 1278720*s7b - 2580480*li6half*sinf - 
    1935360*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 896*ln2^6*sinf - 
    967680*s6*sinf - 645120*li5half*sinf^2 - 322560*li4half*ln2*sinf^2 - 
    8064*ln2^5*sinf^2 + 1612800*li5half*z2 + 645120*li4half*ln2*z2 - 
    5376*ln2^5*z2 + 322560*li4half*sinf*z2 - 13440*ln2^4*sinf*z2 + 
    26880*ln2^3*sinf^2*z2 - 26880*ln2^3*z2^2 - 338688*ln2^2*sinf*z2^2 - 
    197568*ln2*sinf^2*z2^2 + 338976*ln2*z2^3 + 171456*sinf*z2^3 - 
    564480*li4half*z3 + 47040*ln2^4*z3 + 188160*ln2^3*sinf*z3 + 
    141120*ln2^2*sinf^2*z3 - 40320*ln2^2*z2*z3 - 282240*ln2*sinf*z2*z3 - 
    131040*sinf^2*z2*z3 - 143856*z2^2*z3 - 495720*ln2*z3^2 + 
    561960*sinf*z3^2 - 312480*ln2^2*z5 + 2656080*ln2*sinf*z5 + 
    947520*sinf^2*z5 - 6092280*z2*z5 + 11887335*z7)/322560, 
 H[1, 1, 0, 0, 0, 1, 1, 1] -> (-440*sinf*z2^3 - 420*sinf^2*z2*z3 - 
    1512*z2^2*z3 + 1260*sinf*z3^2 + 840*sinf^2*z5 - 840*z2*z5 + 6405*z7)/840, 
 H[1, 1, 0, 0, 0, 1, 0, 1] -> (1888*sinf*z2^3 - 840*z2^2*z3 - 
    1680*sinf*z3^2 - 3360*sinf^2*z5 + 8400*z2*z5 - 11445*z7)/1680, 
 H[1, 1, 0, 0, 0, 1, -1, 1] -> (69120*ln2*s6 + 65280*s7a - 149760*s7b - 
    80640*s6*sinf + 20160*ln2*sinf^2*z2^2 - 30816*ln2*z2^3 + 
    11456*sinf*z2^3 + 80640*ln2*sinf*z2*z3 + 10080*sinf^2*z2*z3 + 
    39024*z2^2*z3 + 48840*ln2*z3^2 - 9240*sinf*z3^2 + 156240*ln2^2*z5 - 
    104160*ln2*sinf*z5 - 53760*sinf^2*z5 + 552480*z2*z5 - 919875*z7)/53760, 
 H[1, 1, 0, 0, 0, 0, 1, 1] -> (-4*sinf*z2^3 - z2^2*z3 + 5*sinf*z3^2 + 
    5*sinf^2*z5 + 15*z2*z5 - 20*z7)/10, H[1, 1, 0, 0, 0, 0, 0, 1] -> 
  (-8*sinf*z2^3 - 14*z2^2*z3 - 35*z2*z5 + 105*z7)/35, 
 H[1, 1, 0, 0, 0, 0, -1, 1] -> (-160*s7a - 160*s6*sinf - 88*sinf*z2^3 + 
    120*sinf*z3^2 + 310*ln2*sinf*z5 + 75*sinf^2*z5 - 75*z2*z5)/160, 
 H[1, 1, 0, 0, 0, -1, 1, 1] -> (9600*ln2*s6 - 9600*s7a + 30720*s7b + 
    67200*s6*sinf - 10080*ln2*sinf^2*z2^2 + 7680*ln2*z2^3 - 8480*sinf*z2^3 - 
    40320*ln2*sinf*z2*z3 - 10080*sinf^2*z2*z3 - 32352*z2^2*z3 - 
    12000*ln2*z3^2 + 16800*sinf*z3^2 - 78120*ln2^2*z5 + 38220*sinf^2*z5 - 
    90660*z2*z5 + 239235*z7)/26880, H[1, 1, 0, 0, 0, -1, 0, 1] -> 
  (25952*sinf*z2^3 - 16800*z2^2*z3 - 20160*sinf*z3^2 - 50400*sinf^2*z5 + 
    60900*z2*z5 - 43575*z7)/26880, H[1, 1, 0, 0, 0, -1, -1, 1] -> 
  (-40320*s7a + 1760*sinf*z2^3 + 6720*sinf^2*z2*z3 - 2016*z2^2*z3 - 
    6720*sinf*z3^2 - 12180*sinf^2*z5 + 10920*z2*z5 - 49035*z7)/26880, 
 H[1, 1, 0, 0, -1, 1, 1, 1] -> (80640*li7half + 13440*li4half*ln2^3 + 
    544*ln2^7 - 54720*ln2*s6 + 54720*s7a + 34560*s7b + 80640*li6half*sinf + 
    112*ln2^6*sinf + 120960*s6*sinf + 40320*li5half*sinf^2 - 
    336*ln2^5*sinf^2 - 40320*li5half*z2 - 40320*li4half*ln2*z2 - 
    4368*ln2^5*z2 - 1680*ln2^4*sinf*z2 + 3360*ln2^3*sinf^2*z2 + 
    6720*ln2^3*z2^2 - 32256*ln2^2*sinf*z2^2 + 2016*ln2*sinf^2*z2^2 + 
    8208*ln2*z2^3 - 33600*sinf*z2^3 + 70560*li4half*z3 + 11760*ln2^4*z3 + 
    11760*ln2^3*sinf*z3 - 40320*ln2^2*z2*z3 - 35280*ln2*sinf*z2*z3 - 
    32760*sinf^2*z2*z3 - 138456*z2^2*z3 + 68400*ln2*z3^2 + 51030*sinf*z3^2 + 
    19530*ln2^2*z5 + 37800*sinf^2*z5 - 138690*z2*z5 + 634815*z7)/40320, 
 H[1, 1, 0, 0, -1, 1, 0, 1] -> (19200*ln2*s6 - 19200*s7a - 19200*s7b - 
    268800*s6*sinf - 107520*li5half*z2 + 53760*li4half*ln2*z2 + 
    3136*ln2^5*z2 - 107520*li4half*sinf*z2 - 4480*ln2^4*sinf*z2 - 
    22400*ln2^3*z2^2 + 26880*ln2^2*sinf*z2^2 + 60480*ln2*sinf^2*z2^2 - 
    63264*ln2*z2^3 + 45312*sinf*z2^3 + 94080*ln2^2*z2*z3 + 
    47040*ln2*sinf*z2*z3 + 12912*z2^2*z3 - 24000*ln2*z3^2 + 53760*sinf*z3^2 - 
    116760*sinf^2*z5 + 458760*z2*z5 - 632955*z7)/53760, 
 H[1, 1, 0, 0, -1, 1, -1, 1] -> (-483840*li7half + 80640*li5half*ln2^2 - 
    576*ln2^7 + 135360*ln2*s6 + 5760*s7a + 5760*s7b - 161280*li6half*sinf + 
    161280*li5half*ln2*sinf + 80640*li4half*ln2^2*sinf + 1792*ln2^6*sinf - 
    221760*s6*sinf + 80640*li4half*ln2*sinf^2 + 3360*ln2^5*sinf^2 - 
    80640*li5half*z2 - 80640*li4half*ln2*z2 + 2016*ln2^5*z2 - 
    80640*li4half*sinf*z2 - 6720*ln2^4*sinf*z2 - 20160*ln2^3*sinf^2*z2 + 
    13440*ln2^3*z2^2 + 149184*ln2^2*sinf*z2^2 + 11088*ln2*sinf^2*z2^2 - 
    41616*ln2*z2^3 + 52368*sinf*z2^3 + 100800*li4half*z3 - 13440*ln2^4*z3 - 
    23520*ln2^3*sinf*z3 - 40320*ln2^2*z2*z3 + 70560*ln2*sinf*z2*z3 + 
    20160*sinf^2*z2*z3 - 35928*z2^2*z3 - 45720*ln2*z3^2 + 40320*sinf*z3^2 - 
    195300*ln2^2*z5 - 390600*ln2*sinf*z5 - 75600*sinf^2*z5 + 253980*z2*z5 + 
    167805*z7)/80640, H[1, 1, 0, 0, -1, 0, 1, 1] -> 
  (80640*ln2*s6 - 80640*s7a - 80640*s7b + 53760*li5half*z2 + 
    53760*li4half*ln2*z2 + 1792*ln2^5*z2 + 53760*li4half*sinf*z2 + 
    2240*ln2^4*sinf*z2 - 8960*ln2^3*z2^2 - 13440*ln2^2*sinf*z2^2 - 
    14112*ln2*z2^3 + 2432*sinf*z2^3 - 141120*li4half*z3 - 5880*ln2^4*z3 + 
    58800*ln2^2*z2*z3 + 47040*ln2*sinf*z2*z3 + 30240*sinf^2*z2*z3 + 
    139272*z2^2*z3 - 100800*ln2*z3^2 - 75180*sinf*z3^2 - 56280*sinf^2*z5 + 
    280560*z2*z5 - 861945*z7)/26880, H[1, 1, 0, 0, -1, 0, 0, 1] -> 
  (-6720*ln2*s6 + 6720*s7a + 6720*s7b + 1176*ln2*z2^3 - 3912*sinf*z2^3 + 
    11760*li4half*z3 + 490*ln2^4*z3 - 2940*ln2^2*z2*z3 - 6300*z2^2*z3 + 
    8400*ln2*z3^2 + 3465*sinf*z3^2 + 9450*sinf^2*z5 - 46620*z2*z5 + 81270*z7)/
   3360, H[1, 1, 0, 0, -1, 0, -1, 1] -> 
  (-5760*ln2*s6 - 27840*s7a + 5760*s7b - 33600*s6*sinf + 13440*li5half*z2 + 
    13440*li4half*ln2*z2 + 448*ln2^5*z2 + 13440*li4half*sinf*z2 + 
    560*ln2^4*sinf*z2 - 2240*ln2^3*z2^2 - 3360*ln2^2*sinf*z2^2 + 
    1008*ln2*z2^3 - 13552*sinf*z2^3 - 23520*li4half*z3 - 980*ln2^4*z3 + 
    11760*ln2^2*z2*z3 + 11760*ln2*sinf*z2*z3 - 4200*sinf^2*z2*z3 + 
    8844*z2^2*z3 - 22200*ln2*z3^2 + 14910*sinf*z3^2 + 65100*ln2*sinf*z5 + 
    8610*sinf^2*z5 - 62280*z2*z5 + 55035*z7)/13440, 
 H[1, 1, 0, 0, -1, -1, 1, 1] -> (161280*li7half - 60480*li5half*ln2^2 - 
    33600*li4half*ln2^3 - 928*ln2^7 + 63360*ln2*s6 - 63360*s7a - 103680*s7b + 
    120960*li6half*sinf - 40320*li4half*ln2^2*sinf - 1512*ln2^6*sinf + 
    80640*s6*sinf + 40320*li5half*sinf^2 - 336*ln2^5*sinf^2 + 
    20160*li5half*z2 + 80640*li4half*ln2*z2 + 7224*ln2^5*z2 + 
    40320*li4half*sinf*z2 + 9240*ln2^4*sinf*z2 + 3360*ln2^3*sinf^2*z2 - 
    18480*ln2^3*z2^2 - 26208*ln2^2*sinf*z2^2 + 9576*ln2*sinf^2*z2^2 - 
    14688*ln2*z2^3 - 21216*sinf*z2^3 - 136080*li4half*z3 - 14490*ln2^4*z3 - 
    17640*ln2^3*sinf*z3 - 8820*ln2^2*sinf^2*z3 + 93240*ln2^2*z2*z3 + 
    35280*ln2*sinf*z2*z3 + 7560*sinf^2*z2*z3 + 111582*z2^2*z3 - 
    79200*ln2*z3^2 - 56385*sinf*z3^2 + 68355*ln2^2*z5 - 48195*sinf^2*z5 + 
    324720*z2*z5 - 925110*z7)/20160, H[1, 1, 0, 0, -1, -1, 0, 1] -> 
  (-33600*ln2*s6 + 33600*s7a + 33600*s7b - 47040*li5half*z2 - 
    47040*li4half*ln2*z2 - 1568*ln2^5*z2 - 26880*li4half*sinf*z2 - 
    1120*ln2^4*sinf*z2 + 7840*ln2^3*z2^2 + 6720*ln2^2*sinf*z2^2 + 
    5880*ln2*z2^3 + 7632*sinf*z2^3 + 58800*li4half*z3 + 2450*ln2^4*z3 - 
    35280*ln2^2*z2*z3 - 23520*ln2*sinf*z2*z3 - 2940*sinf^2*z2*z3 - 
    36960*z2^2*z3 + 42000*ln2*z3^2 + 10290*sinf*z3^2 + 4830*sinf^2*z5 - 
    77385*z2*z5 + 266070*z7)/6720, H[1, 1, 0, 0, -1, -1, -1, 1] -> 
  (161280*li7half + 161280*li6half*ln2 + 80640*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 640*ln2^7 + 13440*ln2*s6 + 26880*s7a - 13440*s7b + 
    80640*li6half*sinf + 80640*li5half*ln2*sinf + 40320*li4half*ln2^2*sinf + 
    1120*ln2^6*sinf + 20160*s6*sinf + 13440*li5half*sinf^2 + 
    13440*li4half*ln2*sinf^2 + 448*ln2^5*sinf^2 - 53760*li5half*z2 - 
    53760*li4half*ln2*z2 - 4480*ln2^5*z2 - 13440*li4half*sinf*z2 - 
    5600*ln2^4*sinf*z2 - 2240*ln2^3*sinf^2*z2 + 8960*ln2^3*z2^2 + 
    3360*ln2^2*sinf*z2^2 - 2352*ln2*z2^3 - 10768*sinf*z2^3 + 
    30240*li4half*z3 + 7140*ln2^4*z3 + 11760*ln2^3*sinf*z3 + 
    5880*ln2^2*sinf^2*z3 - 31080*ln2^2*z2*z3 - 11760*ln2*sinf*z2*z3 - 
    3360*sinf^2*z2*z3 - 8904*z2^2*z3 + 30240*ln2*z3^2 - 1890*sinf*z3^2 - 
    39060*ln2*sinf*z5 - 6930*sinf^2*z5 + 67200*z2*z5 - 160125*z7)/13440, 
 H[1, 1, 0, -1, 1, 1, 1, 1] -> (322560*li7half - 64*ln2^7 + 599040*ln2*s6 - 
    599040*s7a + 610560*s7b - 967680*li6half*sinf - 1344*ln2^6*sinf + 
    725760*s6*sinf + 483840*li5half*sinf^2 - 4032*ln2^5*sinf^2 - 
    483840*li5half*z2 + 5376*ln2^5*z2 + 20160*ln2^4*sinf*z2 - 
    57792*ln2^3*z2^2 - 157248*ln2^2*sinf*z2^2 + 24192*ln2*sinf^2*z2^2 - 
    709920*ln2*z2^3 - 18432*sinf*z2^3 - 11760*ln2^4*z3 + 70560*ln2^2*z2*z3 - 
    141120*sinf^2*z2*z3 - 267264*z2^2*z3 - 748800*ln2*z3^2 + 
    10080*sinf*z3^2 - 1171800*ln2^2*z5 - 5040*sinf^2*z5 - 1826280*z2*z5 + 
    6128865*z7)/322560, H[1, 1, 0, -1, 1, 1, 0, 1] -> 
  (-69120*ln2*s6 + 69120*s7a - 24960*s7b - 141120*s6*sinf - 
    53760*li5half*sinf^2 + 448*ln2^5*sinf^2 + 134400*li5half*z2 - 
    1120*ln2^5*z2 - 80640*li4half*sinf*z2 - 3360*ln2^4*sinf*z2 - 
    4480*ln2^3*sinf^2*z2 + 11200*ln2^3*z2^2 + 35280*ln2^2*sinf*z2^2 + 
    2352*ln2*sinf^2*z2^2 + 52224*ln2*z2^3 + 21632*sinf*z2^3 + 
    80640*li4half*z3 + 3360*ln2^4*z3 - 26040*ln2^2*z2*z3 + 840*sinf^2*z2*z3 - 
    33060*z2^2*z3 + 89340*ln2*z3^2 + 51870*sinf*z3^2 + 91140*ln2^2*z5 + 
    20790*sinf^2*z5 + 65130*z2*z5 - 313665*z7)/26880, 
 H[1, 1, 0, -1, 1, 1, -1, 1] -> (6128640*li7half + 3225600*li6half*ln2 + 
    645120*li5half*ln2^2 + 53760*li4half*ln2^3 + 128*ln2^7 - 426240*ln2*s6 + 
    1635840*s7a - 1992960*s7b + 2903040*li6half*sinf + 
    1290240*li5half*ln2*sinf + 161280*li4half*ln2^2*sinf + 1209600*s6*sinf - 
    161280*li5half*sinf^2 + 161280*li4half*ln2*sinf^2 + 8064*ln2^5*sinf^2 - 
    483840*li5half*z2 - 322560*li4half*ln2*z2 - 10752*ln2^5*z2 - 
    161280*li4half*sinf*z2 - 53760*ln2^3*sinf^2*z2 + 40320*ln2^3*z2^2 + 
    387072*ln2^2*sinf*z2^2 - 16128*ln2*sinf^2*z2^2 + 165024*ln2*z2^3 - 
    268992*sinf*z2^3 + 282240*li4half*z3 + 23520*ln2^4*z3 - 
    141120*ln2^2*z2*z3 + 431856*z2^2*z3 + 1714680*ln2*z3^2 - 
    453600*sinf*z3^2 + 2343600*ln2^2*z5 - 2343600*ln2*sinf*z5 + 
    83160*sinf^2*z5 + 7056360*z2*z5 - 16627005*z7)/322560, 
 H[1, 1, 0, -1, 1, 0, 1, 1] -> (-218880*ln2*s6 + 218880*s7a + 218880*s7b - 
    161280*s6*sinf + 107520*li5half*z2 - 896*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 13440*ln2^4*sinf*z2 + 8960*ln2^3*z2^2 + 
    80640*ln2^2*sinf*z2^2 - 20160*ln2*sinf^2*z2^2 + 98400*ln2*z2^3 + 
    140544*sinf*z2^3 + 645120*li4half*z3 + 26880*ln2^4*z3 - 
    208320*ln2^2*z2*z3 + 134400*sinf^2*z2*z3 - 97872*z2^2*z3 + 
    250080*ln2*z3^2 - 213360*sinf*z3^2 - 215880*sinf^2*z5 - 291000*z2*z5 + 
    101475*z7)/107520, H[1, 1, 0, -1, 1, 0, 0, 1] -> 
  (24000*ln2*s6 - 24000*s7a - 24000*s7b + 67200*s6*sinf + 
    53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 - 13440*ln2^2*sinf*z2^2 - 
    15120*ln2*sinf^2*z2^2 - 8520*ln2*z2^3 - 19808*sinf*z2^3 - 
    94080*li4half*z3 - 3920*ln2^4*z3 + 23520*ln2^2*z2*z3 - 
    2520*sinf^2*z2*z3 + 45582*z2^2*z3 - 38820*ln2*z3^2 - 11130*sinf*z3^2 + 
    35910*sinf^2*z5 - 41640*z2*z5 + 12975*z7)/13440, 
 H[1, 1, 0, -1, 1, 0, -1, 1] -> (-5160960*li7half - 3870720*li6half*ln2 - 
    1290240*li5half*ln2^2 - 215040*li4half*ln2^3 - 2560*ln2^7 - 
    1008000*ln2*s6 - 685440*s7a + 806400*s7b - 3870720*li6half*sinf - 
    2580480*li5half*ln2*sinf - 645120*li4half*ln2^2*sinf - 10752*ln2^6*sinf - 
    2096640*s6*sinf - 1290240*li5half*sinf^2 - 645120*li4half*ln2*sinf^2 - 
    16128*ln2^5*sinf^2 + 2661120*li5half*z2 + 1290240*li4half*ln2*z2 + 
    36960*ln2^5*z2 + 403200*li4half*sinf*z2 + 43680*ln2^4*sinf*z2 + 
    53760*ln2^3*sinf^2*z2 - 100800*ln2^3*z2^2 - 100800*ln2^2*sinf*z2^2 - 
    274176*ln2*sinf^2*z2^2 + 160128*ln2*z2^3 + 230112*sinf*z2^3 - 
    826560*li4half*z3 - 34440*ln2^4*z3 + 171360*ln2^2*z2*z3 - 
    25200*sinf^2*z2*z3 + 99288*z2^2*z3 - 495180*ln2*z3^2 + 817740*sinf*z3^2 + 
    390600*ln2^2*z5 + 3671640*ln2*sinf*z5 + 1378440*sinf^2*z5 - 
    5527620*z2*z5 + 9806895*z7)/161280, H[1, 1, 0, -1, 1, -1, 1, 1] -> 
  (-3870720*li7half + 322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 
    6400*ln2^7 + 1221120*ln2*s6 - 1221120*s7a - 495360*s7b + 
    2903040*li6half*sinf - 161280*li4half*ln2^2*sinf - 2688*ln2^6*sinf + 
    564480*s6*sinf - 483840*li5half*sinf^2 + 4032*ln2^5*sinf^2 + 
    161280*li5half*z2 + 322560*li4half*ln2*z2 + 49728*ln2^5*z2 + 
    161280*li4half*sinf*z2 - 13440*ln2^4*sinf*z2 + 120960*ln2^3*sinf^2*z2 + 
    2688*ln2^3*z2^2 - 104832*ln2^2*sinf*z2^2 - 84672*ln2*sinf^2*z2^2 - 
    637344*ln2*z2^3 - 338112*sinf*z2^3 - 564480*li4half*z3 - 
    117600*ln2^4*z3 - 282240*ln2^3*sinf*z3 - 211680*ln2^2*sinf^2*z3 + 
    917280*ln2^2*z2*z3 + 846720*ln2*sinf*z2*z3 + 272160*sinf^2*z2*z3 + 
    1158480*z2^2*z3 - 1455840*ln2*z3^2 - 1058400*sinf*z3^2 - 
    1406160*ln2^2*z5 - 73080*sinf^2*z5 + 2208600*z2*z5 - 3800925*z7)/322560, 
 H[1, 1, 0, -1, 1, -1, 0, 1] -> (53760*s7b + 38400*s6*sinf + 
    30720*li5half*sinf^2 - 256*ln2^5*sinf^2 - 61440*li5half*z2 - 
    11520*li4half*ln2*z2 + 32*ln2^5*z2 - 3840*li4half*sinf*z2 - 
    160*ln2^4*sinf*z2 + 2560*ln2^3*sinf^2*z2 - 2240*ln2^3*z2^2 - 
    7680*ln2^2*sinf*z2^2 + 4416*ln2*sinf^2*z2^2 - 192*ln2*z2^3 + 
    2720*sinf*z2^3 + 12480*li4half*z3 + 520*ln2^4*z3 - 16560*ln2^2*z2*z3 - 
    30240*ln2*sinf*z2*z3 - 6960*sinf^2*z2*z3 - 26016*z2^2*z3 - 
    6720*ln2*z3^2 + 4380*sinf*z3^2 - 52080*ln2^2*z5 - 11520*sinf^2*z5 - 
    152700*z2*z5 + 386475*z7)/7680, H[1, 1, 0, -1, 1, -1, -1, 1] -> 
  (-322560*li7half - 806400*li6half*ln2 - 322560*li5half*ln2^2 - 
    13440*li4half*ln2^3 + 1072*ln2^7 - 417600*ln2*s6 - 5760*s7a + 
    155520*s7b - 1209600*li6half*sinf - 483840*li5half*ln2*sinf - 
    80640*li4half*ln2^2*sinf - 1008*ln2^6*sinf - 604800*s6*sinf - 
    201600*li5half*sinf^2 - 120960*li4half*ln2*sinf^2 - 3360*ln2^5*sinf^2 + 
    443520*li5half*z2 + 201600*li4half*ln2*z2 - 3360*ln2^5*z2 + 
    120960*li4half*sinf*z2 + 10080*ln2^4*sinf*z2 - 16800*ln2^3*sinf^2*z2 - 
    26544*ln2^3*z2^2 - 20160*ln2^2*sinf*z2^2 - 49392*ln2*sinf^2*z2^2 + 
    115200*ln2*z2^3 + 70992*sinf*z2^3 - 201600*li4half*z3 + 15120*ln2^4*z3 + 
    70560*ln2^3*sinf*z3 + 52920*ln2^2*sinf^2*z3 - 90720*ln2^2*z2*z3 - 
    105840*ln2*sinf*z2*z3 - 52920*sinf^2*z2*z3 + 25596*z2^2*z3 + 
    63360*ln2*z3^2 + 306180*sinf*z3^2 + 488250*ln2^2*z5 + 
    937440*ln2*sinf*z5 + 311220*sinf^2*z5 - 1241820*z2*z5 + 1747395*z7)/
   80640, H[1, 1, 0, -1, 0, 1, 1, 1] -> 
  (-26880*ln2*s6 + 26880*s7a + 26880*s7b + 4704*ln2*z2^3 + 16320*sinf*z2^3 + 
    53760*li4half*z3 + 2240*ln2^4*z3 - 13440*ln2^2*z2*z3 + 
    18480*sinf^2*z2*z3 + 24192*z2^2*z3 + 39480*ln2*z3^2 - 52500*sinf*z3^2 - 
    34440*sinf^2*z5 - 44520*z2*z5 - 58275*z7)/53760, 
 H[1, 1, 0, -1, 0, 1, 0, 1] -> (107520*ln2*s6 - 107520*s7a - 107520*s7b - 
    18816*ln2*z2^3 + 6528*sinf*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 
    26880*ln2^2*z2*z3 + 20160*sinf^2*z2*z3 + 58296*z2^2*z3 - 63840*ln2*z3^2 + 
    8400*sinf*z3^2 - 53760*sinf^2*z5 + 320880*z2*z5 - 650895*z7)/53760, 
 H[1, 1, 0, -1, 0, 1, -1, 1] -> (5160960*li7half + 3870720*li6half*ln2 + 
    1290240*li5half*ln2^2 + 215040*li4half*ln2^3 + 2560*ln2^7 + 
    933120*ln2*s6 + 518400*s7a - 1255680*s7b + 3870720*li6half*sinf + 
    2580480*li5half*ln2*sinf + 645120*li4half*ln2^2*sinf + 10752*ln2^6*sinf + 
    1451520*s6*sinf + 1290240*li5half*sinf^2 + 645120*li4half*ln2*sinf^2 + 
    16128*ln2^5*sinf^2 - 2580480*li5half*z2 - 806400*li4half*ln2*z2 - 
    17472*ln2^5*z2 - 645120*li4half*sinf*z2 - 53760*ln2^4*sinf*z2 - 
    53760*ln2^3*sinf^2*z2 - 13440*ln2^3*z2^2 + 161280*ln2^2*sinf*z2^2 + 
    274176*ln2*sinf^2*z2^2 - 552096*ln2*z2^3 - 259200*sinf*z2^3 + 
    806400*li4half*z3 + 33600*ln2^4*z3 + 221760*ln2^2*z2*z3 - 
    302400*ln2*sinf*z2*z3 + 181440*sinf^2*z2*z3 + 6192*z2^2*z3 + 
    826920*ln2*z3^2 - 670320*sinf*z3^2 + 624960*ln2^2*z5 - 
    2187360*ln2*sinf*z5 - 1668240*sinf^2*z5 + 6505920*z2*z5 - 11664045*z7)/
   322560, H[1, 1, 0, -1, 0, 0, 1, 1] -> 
  (-6720*ln2*s6 + 6720*s7a + 6720*s7b + 1176*ln2*z2^3 - 5144*sinf*z2^3 + 
    6720*li4half*z3 + 280*ln2^4*z3 - 1680*ln2^2*z2*z3 - 8820*sinf^2*z2*z3 - 
    13818*z2^2*z3 + 3990*ln2*z3^2 + 14595*sinf*z3^2 + 17430*sinf^2*z5 - 
    45780*z2*z5 + 116865*z7)/6720, H[1, 1, 0, -1, 0, 0, 0, 1] -> 
  (15616*sinf*z2^3 + 2520*z2^2*z3 - 20160*sinf*z3^2 - 50400*sinf^2*z5 + 
    162960*z2*z5 - 228795*z7)/26880, H[1, 1, 0, -1, 0, 0, -1, 1] -> 
  (11520*ln2*s6 + 55680*s7a - 11520*s7b + 67200*s6*sinf - 2016*ln2*z2^3 + 
    10832*sinf*z2^3 + 20160*li4half*z3 + 840*ln2^4*z3 - 5040*ln2^2*z2*z3 - 
    10080*sinf^2*z2*z3 - 1308*z2^2*z3 + 20880*ln2*z3^2 - 18900*sinf*z3^2 - 
    130200*ln2*sinf*z5 + 21420*sinf^2*z5 + 62400*z2*z5 - 63975*z7)/26880, 
 H[1, 1, 0, -1, 0, -1, 1, 1] -> (-645120*li7half + 322560*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 6400*ln2^7 - 933120*ln2*s6 + 933120*s7a + 
    1094400*s7b - 645120*li6half*sinf + 322560*li4half*ln2^2*sinf + 
    12544*ln2^6*sinf - 161280*s6*sinf - 322560*li5half*sinf^2 + 
    2688*ln2^5*sinf^2 - 887040*li4half*ln2*z2 - 66528*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 80640*ln2^4*sinf*z2 - 26880*ln2^3*sinf^2*z2 + 
    221760*ln2^3*z2^2 + 80640*ln2^2*sinf*z2^2 - 137088*ln2*sinf^2*z2^2 + 
    357696*ln2*z2^3 + 88128*sinf*z2^3 + 1391040*li4half*z3 + 
    128520*ln2^4*z3 + 188160*ln2^3*sinf*z3 + 141120*ln2^2*sinf^2*z3 - 
    1123920*ln2^2*z2*z3 - 413280*ln2*sinf*z2*z3 - 161280*sinf^2*z2*z3 - 
    1246536*z2^2*z3 + 1025280*ln2*z3^2 + 482580*sinf*z3^2 - 312480*ln2^2*z5 + 
    650160*sinf^2*z5 - 3713760*z2*z5 + 9455895*z7)/161280, 
 H[1, 1, 0, -1, 0, -1, 0, 1] -> (10240*ln2*s6 - 10240*s7a - 10240*s7b + 
    7680*li5half*z2 + 7680*li4half*ln2*z2 + 256*ln2^5*z2 + 
    7680*li4half*sinf*z2 + 320*ln2^4*sinf*z2 - 1280*ln2^3*z2^2 - 
    1920*ln2^2*sinf*z2^2 - 1792*ln2*z2^3 - 1568*sinf*z2^3 - 
    15360*li4half*z3 - 640*ln2^4*z3 + 7200*ln2^2*z2*z3 + 
    6720*ln2*sinf*z2*z3 + 1760*sinf^2*z2*z3 + 9960*z2^2*z3 - 10560*ln2*z3^2 - 
    3840*sinf*z3^2 - 3680*sinf^2*z5 + 31200*z2*z5 - 82375*z7)/1280, 
 H[1, 1, 0, -1, 0, -1, -1, 1] -> (-967680*li7half - 967680*li6half*ln2 - 
    483840*li5half*ln2^2 - 161280*li4half*ln2^3 - 3840*ln2^7 + 
    115200*ln2*s6 - 296640*s7a - 115200*s7b - 645120*li6half*sinf - 
    645120*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 8960*ln2^6*sinf - 
    100800*s6*sinf - 161280*li5half*sinf^2 - 161280*li4half*ln2*sinf^2 - 
    5376*ln2^5*sinf^2 + 483840*li5half*z2 + 483840*li4half*ln2*z2 + 
    32256*ln2^5*z2 + 161280*li4half*sinf*z2 + 47040*ln2^4*sinf*z2 + 
    26880*ln2^3*sinf^2*z2 - 80640*ln2^3*z2^2 - 40320*ln2^2*sinf*z2^2 - 
    20160*ln2*z2^3 + 93744*sinf*z2^3 - 312480*li4half*z3 - 48300*ln2^4*z3 - 
    94080*ln2^3*sinf*z3 - 70560*ln2^2*sinf^2*z3 + 289800*ln2^2*z2*z3 + 
    141120*ln2*sinf*z2*z3 + 60480*sinf^2*z2*z3 + 162900*z2^2*z3 - 
    241020*ln2*z3^2 - 58590*sinf*z3^2 + 195300*ln2*sinf*z5 + 
    45990*sinf^2*z5 + 189090*z2*z5 - 509445*z7)/80640, 
 H[1, 1, 0, -1, -1, 1, 1, 1] -> (483840*li7half + 26880*li4half*ln2^3 + 
    1024*ln2^7 + 230400*ln2*s6 - 230400*s7a + 414720*s7b - 
    967680*li6half*sinf - 1344*ln2^6*sinf - 120960*s6*sinf + 
    403200*li5half*sinf^2 - 3360*ln2^5*sinf^2 - 403200*li5half*z2 - 
    80640*li4half*ln2*z2 - 4704*ln2^5*z2 + 20160*ln2^4*sinf*z2 - 
    6720*ln2^3*sinf^2*z2 - 30912*ln2^3*z2^2 - 66528*ln2^2*sinf*z2^2 + 
    80640*ln2*sinf^2*z2^2 + 26496*ln2*z2^3 + 130176*sinf*z2^3 + 
    141120*li4half*z3 + 11760*ln2^4*z3 - 35280*ln2^2*z2*z3 - 
    15120*sinf^2*z2*z3 - 179208*z2^2*z3 - 305640*ln2*z3^2 + 71820*sinf*z3^2 - 
    624960*ln2^2*z5 - 309960*sinf^2*z5 - 928440*z2*z5 + 1993455*z7)/161280, 
 H[1, 1, 0, -1, -1, 1, 0, 1] -> (-88320*ln2*s6 + 88320*s7a - 288000*s7b - 
    349440*s6*sinf - 215040*li5half*sinf^2 + 1792*ln2^5*sinf^2 + 
    537600*li5half*z2 + 53760*li4half*ln2*z2 - 2240*ln2^5*z2 - 
    215040*li4half*sinf*z2 - 8960*ln2^4*sinf*z2 - 17920*ln2^3*sinf^2*z2 + 
    31360*ln2^3*z2^2 + 114240*ln2^2*sinf*z2^2 - 10752*ln2*sinf^2*z2^2 + 
    72480*ln2*z2^3 + 64000*sinf*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 
    3360*ln2^2*z2*z3 + 43680*sinf^2*z2*z3 + 30720*z2^2*z3 + 263280*ln2*z3^2 + 
    76440*sinf*z3^2 + 364560*ln2^2*z5 + 47040*sinf^2*z5 + 615840*z2*z5 - 
    1944195*z7)/107520, H[1, 1, 0, -1, -1, 1, -1, 1] -> 
  (-2257920*li7half + 645120*li6half*ln2 + 645120*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 448*ln2^7 + 633600*ln2*s6 - 472320*s7a + 
    11520*s7b + 3870720*li6half*sinf + 1290240*li5half*ln2*sinf + 
    483840*li4half*ln2^2*sinf + 14784*ln2^6*sinf + 1451520*s6*sinf + 
    161280*li5half*sinf^2 + 483840*li4half*ln2*sinf^2 + 18816*ln2^5*sinf^2 - 
    806400*li5half*z2 - 806400*li4half*ln2*z2 - 22848*ln2^5*z2 - 
    483840*li4half*sinf*z2 - 114240*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 + 
    186816*ln2^3*z2^2 + 64512*ln2^2*sinf*z2^2 - 16128*ln2*sinf^2*z2^2 - 
    354528*ln2*z2^3 - 267264*sinf*z2^3 + 766080*li4half*z3 + 20160*ln2^4*z3 - 
    191520*ln2^2*z2*z3 + 211680*sinf^2*z2*z3 - 311760*z2^2*z3 + 
    107640*ln2*z3^2 - 808920*sinf*z3^2 - 1328040*ln2^2*z5 - 
    1718640*ln2*sinf*z5 - 630000*sinf^2*z5 + 1440360*z2*z5 + 726525*z7)/
   322560, H[1, 1, 0, -1, -1, 0, 1, 1] -> 
  (1920*li5half*z2 + 1920*li4half*ln2*z2 + 64*ln2^5*z2 - 320*ln2^3*z2^2 - 
    144*sinf*z2^3 - 1200*li4half*z3 - 50*ln2^4*z3 + 1140*ln2^2*z2*z3 - 
    300*sinf^2*z2*z3 + 576*z2^2*z3 - 1050*ln2*z3^2 + 375*sinf*z3^2 + 
    600*sinf^2*z5 - 2100*z2*z5 + 45*z7)/1920, H[1, 1, 0, -1, -1, 0, 0, 1] -> 
  (-13440*ln2*s6 + 13440*s7a + 13440*s7b + 2352*ln2*z2^3 - 3280*sinf*z2^3 + 
    10080*li4half*z3 + 420*ln2^4*z3 - 2520*ln2^2*z2*z3 - 3360*sinf^2*z2*z3 - 
    7812*z2^2*z3 + 5040*ln2*z3^2 + 5040*sinf*z3^2 + 9660*sinf^2*z5 - 
    57540*z2*z5 + 116235*z7)/13440, H[1, 1, 0, -1, -1, 0, -1, 1] -> 
  (-103680*ln2*s6 + 63360*s7a + 103680*s7b - 40320*s6*sinf + 
    26880*li5half*z2 + 26880*li4half*ln2*z2 + 896*ln2^5*z2 - 
    4480*ln2^3*z2^2 + 18144*ln2*z2^3 - 24768*sinf*z2^3 - 13440*li4half*z3 - 
    560*ln2^4*z3 + 15120*ln2^2*z2*z3 - 38640*sinf^2*z2*z3 - 21240*z2^2*z3 - 
    40920*ln2*z3^2 + 63420*sinf*z3^2 + 78120*ln2*sinf*z5 + 74340*sinf^2*z5 - 
    440220*z2*z5 + 784305*z7)/53760, H[1, 1, 0, -1, -1, -1, 1, 1] -> 
  (322560*li7half + 26880*li4half*ln2^3 + 1056*ln2^7 - 270720*ln2*s6 + 
    270720*s7a + 311040*s7b - 645120*li6half*sinf + 
    80640*li4half*ln2^2*sinf + 2464*ln2^6*sinf - 161280*s6*sinf + 
    80640*li5half*sinf^2 - 672*ln2^5*sinf^2 - 80640*li5half*z2 - 
    161280*li4half*ln2*z2 - 11424*ln2^5*z2 - 80640*li4half*sinf*z2 - 
    10080*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 + 24864*ln2^3*z2^2 + 
    32256*ln2^2*sinf*z2^2 + 4032*ln2*sinf^2*z2^2 + 122400*ln2*z2^3 + 
    76032*sinf*z2^3 + 302400*li4half*z3 + 24360*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 + 35280*ln2^2*sinf^2*z3 - 216720*ln2^2*z2*z3 - 
    141120*ln2*sinf*z2*z3 - 70560*sinf^2*z2*z3 - 322776*z2^2*z3 + 
    214920*ln2*z3^2 + 228060*sinf*z3^2 - 39060*ln2^2*z5 + 75600*sinf^2*z5 - 
    990540*z2*z5 + 2259045*z7)/161280, H[1, 1, 0, -1, -1, -1, 0, 1] -> 
  (53760*ln2*s6 - 53760*s7a - 53760*s7b + 26880*li5half*z2 + 
    26880*li4half*ln2*z2 + 896*ln2^5*z2 + 40320*li4half*sinf*z2 + 
    1680*ln2^4*sinf*z2 - 4480*ln2^3*z2^2 - 10080*ln2^2*sinf*z2^2 - 
    9408*ln2*z2^3 - 6304*sinf*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 + 
    28560*ln2^2*z2*z3 + 35280*ln2*sinf*z2*z3 + 12600*sinf^2*z2*z3 + 
    47712*z2^2*z3 - 43680*ln2*z3^2 - 27510*sinf*z3^2 - 24780*sinf^2*z5 + 
    179340*z2*z5 - 437955*z7)/26880, H[1, 1, 0, -1, -1, -1, -1, 1] -> 
  (-161280*li7half - 161280*li6half*ln2 - 80640*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 640*ln2^7 - 40320*s7a - 161280*li6half*sinf - 
    161280*li5half*ln2*sinf - 80640*li4half*ln2^2*sinf - 2240*ln2^6*sinf - 
    40320*s6*sinf - 40320*li5half*sinf^2 - 40320*li4half*ln2*sinf^2 - 
    1344*ln2^5*sinf^2 + 120960*li5half*z2 + 120960*li4half*ln2*z2 + 
    6720*ln2^5*z2 + 40320*li4half*sinf*z2 + 11760*ln2^4*sinf*z2 + 
    6720*ln2^3*sinf^2*z2 - 20160*ln2^3*z2^2 - 10080*ln2^2*sinf*z2^2 + 
    13824*sinf*z2^3 - 80640*li4half*z3 - 9240*ln2^4*z3 - 
    23520*ln2^3*sinf*z3 - 17640*ln2^2*sinf^2*z3 + 73080*ln2^2*z2*z3 + 
    35280*ln2*sinf*z2*z3 + 33768*z2^2*z3 - 70560*ln2*z3^2 + 10710*sinf*z3^2 + 
    78120*ln2*sinf*z5 + 40320*sinf^2*z5 - 80640*z2*z5 + 48825*z7)/80640, 
 H[1, 1, -1, 1, 1, 1, 1, 1] -> (30*li7half - 10*li6half*sinf + 
    li5half*sinf^2 - li5half*z2)/2, H[1, 1, -1, 1, 1, 1, 0, 1] -> 
  (-5160960*li7half - 53760*li4half*ln2^3 - 1216*ln2^7 + 230400*ln2*s6 - 
    230400*s7a - 311040*s7b + 1935360*li6half*sinf - 
    161280*li4half*ln2^2*sinf - 4032*ln2^6*sinf - 80640*s6*sinf - 
    322560*li5half*sinf^2 - 161280*li4half*ln2*sinf^2 - 4032*ln2^5*sinf^2 + 
    1612800*li5half*z2 + 322560*li4half*ln2*z2 + 16128*ln2^5*z2 - 
    161280*li4half*sinf*z2 + 33600*ln2^4*sinf*z2 + 26880*ln2^3*sinf^2*z2 - 
    41664*ln2^3*z2^2 - 4032*ln2^2*sinf*z2^2 + 8064*ln2*sinf^2*z2^2 - 
    108576*ln2*z2^3 - 46080*sinf*z2^3 + 40320*li4half*z3 - 38640*ln2^4*z3 - 
    107520*ln2^3*sinf*z3 - 80640*ln2^2*sinf^2*z3 + 312480*ln2^2*z2*z3 + 
    322560*ln2*sinf*z2*z3 + 80640*sinf^2*z2*z3 + 356544*z2^2*z3 - 
    288000*ln2*z3^2 - 252000*sinf*z3^2 + 78120*ln2^2*z5 - 5040*sinf^2*z5 + 
    921240*z2*z5 - 2439855*z7)/322560, H[1, 1, -1, 1, 1, 1, -1, 1] -> 
  (-645120*li7half - 6720*li4half*ln2^3 - 272*ln2^7 + 83520*ln2*s6 - 
    83520*s7a + 17280*s7b + 241920*li6half*sinf - 20160*li4half*ln2^2*sinf - 
    784*ln2^6*sinf + 100800*s6*sinf - 40320*li5half*sinf^2 - 
    20160*li4half*ln2*sinf^2 - 672*ln2^5*sinf^2 + 40320*li5half*z2 + 
    40320*li4half*ln2*z2 + 3024*ln2^5*z2 + 20160*li4half*sinf*z2 + 
    5040*ln2^4*sinf*z2 + 3360*ln2^3*sinf^2*z2 - 8400*ln2^3*z2^2 - 
    5040*ln2^2*sinf*z2^2 - 17712*ln2*z2^3 - 20736*sinf*z2^3 - 
    35280*li4half*z3 - 5880*ln2^4*z3 - 11760*ln2^3*sinf*z3 - 
    8820*ln2^2*sinf^2*z3 + 44100*ln2^2*z2*z3 + 35280*ln2*sinf*z2*z3 + 
    8820*sinf^2*z2*z3 + 39132*z2^2*z3 - 104400*ln2*z3^2 - 68670*sinf*z3^2 - 
    178290*ln2^2*z5 - 161280*ln2*sinf*z5 + 17010*sinf^2*z5 + 9720*z2*z5 + 
    289845*z7)/40320, H[1, 1, -1, 1, 1, 0, 1, 1] -> 
  (-1451520*li7half + 80640*li4half*ln2^3 + 3648*ln2^7 - 691200*ln2*s6 + 
    691200*s7a + 933120*s7b + 322560*li6half*sinf + 
    241920*li4half*ln2^2*sinf + 10528*ln2^6*sinf + 120960*s6*sinf + 
    161280*li5half*sinf^2 + 241920*li4half*ln2*sinf^2 + 8736*ln2^5*sinf^2 + 
    806400*li5half*z2 - 483840*li4half*ln2*z2 - 45024*ln2^5*z2 - 
    725760*li4half*sinf*z2 - 77280*ln2^4*sinf*z2 - 33600*ln2^3*sinf^2*z2 + 
    110208*ln2^3*z2^2 + 46368*ln2^2*sinf*z2^2 - 38304*ln2*sinf^2*z2^2 + 
    243072*ln2*z2^3 + 69120*sinf*z2^3 + 1391040*li4half*z3 + 
    115920*ln2^4*z3 + 154560*ln2^3*sinf*z3 + 115920*ln2^2*sinf^2*z3 - 
    811440*ln2^2*z2*z3 - 463680*ln2*sinf*z2*z3 - 45360*sinf^2*z2*z3 - 
    1096848*z2^2*z3 + 864000*ln2*z3^2 + 219240*sinf*z3^2 - 234360*ln2^2*z5 - 
    28980*sinf^2*z5 - 2719620*z2*z5 + 7319565*z7)/161280, 
 H[1, 1, -1, 1, 1, 0, 0, 1] -> (1290240*li7half - 107520*li4half*ln2^3 - 
    4736*ln2^7 + 1428480*ln2*s6 - 1428480*s7a + 103680*s7b - 
    322560*li4half*ln2^2*sinf - 13440*ln2^6*sinf + 806400*s6*sinf - 
    322560*li5half*sinf^2 - 322560*li4half*ln2*sinf^2 - 10752*ln2^5*sinf^2 - 
    967680*li5half*z2 + 645120*li4half*ln2*z2 + 67200*ln2^5*z2 + 
    645120*li4half*sinf*z2 + 107520*ln2^4*sinf*z2 + 53760*ln2^3*sinf^2*z2 - 
    291648*ln2^3*z2^2 - 282240*ln2^2*sinf*z2^2 - 76608*ln2*sinf^2*z2^2 - 
    366048*ln2*z2^3 - 231552*sinf*z2^3 - 1854720*li4half*z3 - 
    117600*ln2^4*z3 - 107520*ln2^3*sinf*z3 - 80640*ln2^2*sinf^2*z3 + 
    756000*ln2^2*z2*z3 + 262080*ln2*sinf*z2*z3 + 70560*sinf^2*z2*z3 + 
    906624*z2^2*z3 - 1785600*ln2*z3^2 - 410760*sinf*z3^2 - 1484280*ln2^2*z5 + 
    380520*sinf^2*z5 - 879120*z2*z5 + 674685*z7)/322560, 
 H[1, 1, -1, 1, 1, 0, -1, 1] -> (-2150400*li7half - 53760*li6half*ln2 + 
    80640*li5half*ln2^2 - 26880*li4half*ln2^3 - 1440*ln2^7 + 462720*ln2*s6 - 
    261120*s7a + 357120*s7b + 1128960*li6half*sinf + 
    161280*li5half*ln2*sinf - 80640*li4half*ln2^2*sinf - 3136*ln2^6*sinf + 
    443520*s6*sinf - 188160*li5half*sinf^2 - 80640*li4half*ln2*sinf^2 - 
    1792*ln2^5*sinf^2 + 268800*li5half*z2 + 161280*li4half*ln2*z2 + 
    11424*ln2^5*z2 + 13440*ln2^4*sinf*z2 + 6720*ln2^3*sinf^2*z2 - 
    105952*ln2^3*z2^2 - 129024*ln2^2*sinf*z2^2 - 44352*ln2*sinf^2*z2^2 - 
    255072*ln2*z2^3 - 186528*sinf*z2^3 - 40320*li4half*z3 + 2520*ln2^4*z3 + 
    11200*ln2^3*sinf*z3 + 8400*ln2^2*sinf^2*z3 - 23520*ln2^2*z2*z3 - 
    33600*ln2*sinf*z2*z3 + 3360*sinf^2*z2*z3 - 116952*z2^2*z3 - 
    381420*ln2*z3^2 - 151620*sinf*z3^2 - 481740*ln2^2*z5 + 
    234360*ln2*sinf*z5 + 191940*sinf^2*z5 - 1377480*z2*z5 + 4153785*z7)/
   53760, H[1, 1, -1, 1, 1, -1, 1, 1] -> 
  (-2903040*li7half + 161280*li4half*ln2^3 + 6336*ln2^7 - 207360*ln2*s6 + 
    207360*s7a + 1416960*s7b + 483840*li4half*ln2^2*sinf + 17920*ln2^6*sinf + 
    483840*li5half*sinf^2 + 483840*li4half*ln2*sinf^2 + 14784*ln2^5*sinf^2 - 
    483840*li5half*z2 - 967680*li4half*ln2*z2 - 67200*ln2^5*z2 - 
    483840*li4half*sinf*z2 - 107520*ln2^4*sinf*z2 - 67200*ln2^3*sinf^2*z2 + 
    208320*ln2^3*z2^2 + 161280*ln2^2*sinf*z2^2 + 20160*ln2*sinf^2*z2^2 - 
    21024*ln2*z2^3 + 846720*li4half*z3 + 105840*ln2^4*z3 + 
    188160*ln2^3*sinf*z3 + 141120*ln2^2*sinf^2*z3 - 776160*ln2^2*z2*z3 - 
    564480*ln2*sinf*z2*z3 - 141120*sinf^2*z2*z3 - 1218816*z2^2*z3 + 
    259200*ln2*z3^2 + 493920*sinf*z3^2 - 2139480*ln2^2*z5 - 
    204120*sinf^2*z5 - 3028320*z2*z5 + 11430315*z7)/322560, 
 H[1, 1, -1, 1, 1, -1, 0, 1] -> (2096640*li7half - 53760*li4half*ln2^3 - 
    2656*ln2^7 + 218880*ln2*s6 - 218880*s7a - 138240*s7b - 
    483840*li6half*sinf - 161280*li4half*ln2^2*sinf - 7392*ln2^6*sinf + 
    80640*s6*sinf - 80640*li5half*sinf^2 - 161280*li4half*ln2*sinf^2 - 
    6048*ln2^5*sinf^2 - 403200*li5half*z2 + 322560*li4half*ln2*z2 + 
    26880*ln2^5*z2 + 161280*li4half*sinf*z2 + 36960*ln2^4*sinf*z2 + 
    26880*ln2^3*sinf^2*z2 - 66528*ln2^3*z2^2 - 18144*ln2^2*sinf*z2^2 - 
    4032*ln2*sinf^2*z2^2 + 75168*ln2*z2^3 + 95328*sinf*z2^3 - 
    282240*li4half*z3 - 44520*ln2^4*z3 - 87360*ln2^3*sinf*z3 - 
    65520*ln2^2*sinf^2*z3 + 226800*ln2^2*z2*z3 + 50400*ln2*sinf*z2*z3 + 
    30240*sinf^2*z2*z3 + 329040*z2^2*z3 - 273600*ln2*z3^2 - 
    144900*sinf*z3^2 - 78120*ln2^2*z5 + 41580*sinf^2*z5 + 82260*z2*z5 - 
    2501775*z7)/161280, H[1, 1, -1, 1, 1, -1, -1, 1] -> 
  (3870720*li7half + 192*ln2^7 - 898560*ln2*s6 + 898560*s7a - 1278720*s7b - 
    967680*li6half*sinf + 896*ln2^6*sinf - 967680*s6*sinf + 
    1344*ln2^5*sinf^2 - 5376*ln2^5*z2 - 13440*ln2^4*sinf*z2 - 
    13440*ln2^3*sinf^2*z2 - 6720*ln2^3*z2^2 - 40320*ln2^2*sinf*z2^2 - 
    20160*ln2*sinf^2*z2^2 + 50976*ln2*z2^3 + 5760*sinf*z2^3 + 
    35280*ln2^4*z3 + 94080*ln2^3*sinf*z3 + 70560*ln2^2*sinf^2*z3 - 
    201600*ln2^2*z2*z3 - 120960*ln2*sinf*z2*z3 + 10080*sinf^2*z2*z3 + 
    386784*z2^2*z3 + 1284480*ln2*z3^2 + 347760*sinf*z3^2 + 3802680*ln2^2*z5 + 
    1451520*ln2*sinf*z5 - 7560*sinf^2*z5 + 3106080*z2*z5 - 8670555*z7)/
   322560, H[1, 1, -1, 1, 0, 1, 1, 1] -> 
  (-1935360*li7half - 161280*li4half*ln2^3 - 6336*ln2^7 + 207360*ln2*s6 - 
    207360*s7a - 1416960*s7b + 1612800*li6half*sinf - 
    483840*li4half*ln2^2*sinf - 17920*ln2^6*sinf - 645120*li5half*sinf^2 - 
    483840*li4half*ln2*sinf^2 - 14784*ln2^5*sinf^2 + 645120*li5half*z2 + 
    967680*li4half*ln2*z2 + 67200*ln2^5*z2 + 483840*li4half*sinf*z2 + 
    107520*ln2^4*sinf*z2 + 67200*ln2^3*sinf^2*z2 - 79296*ln2^3*z2^2 + 
    32256*ln2^2*sinf*z2^2 - 20160*ln2*sinf^2*z2^2 - 366048*ln2*z2^3 - 
    193536*sinf*z2^3 + 120960*li4half*z3 - 105840*ln2^4*z3 - 
    295680*ln2^3*sinf*z3 - 221760*ln2^2*sinf^2*z3 + 856800*ln2^2*z2*z3 + 
    887040*ln2*sinf*z2*z3 + 221760*sinf^2*z2*z3 + 1815552*z2^2*z3 - 
    259200*ln2*z3^2 - 1058400*sinf*z3^2 + 1171800*ln2^2*z5 + 
    204120*sinf^2*z5 + 3996000*z2*z5 - 11430315*z7)/322560, 
 H[1, 1, -1, 1, 0, 1, 0, 1] -> (645120*li7half + 26880*li4half*ln2^3 + 
    992*ln2^7 - 106560*ln2*s6 + 106560*s7a - 95040*s7b - 
    483840*li6half*sinf + 80640*li4half*ln2^2*sinf + 2688*ln2^6*sinf - 
    231840*s6*sinf + 161280*li5half*sinf^2 + 80640*li4half*ln2*sinf^2 + 
    2016*ln2^5*sinf^2 - 322560*li5half*z2 - 161280*li4half*ln2*z2 - 
    8064*ln2^5*z2 - 40320*li4half*sinf*z2 - 11760*ln2^4*sinf*z2 - 
    6720*ln2^3*sinf^2*z2 + 29736*ln2^3*z2^2 + 47376*ln2^2*sinf*z2^2 + 
    25704*ln2*sinf^2*z2^2 + 8568*ln2*z2^3 + 58920*sinf*z2^3 - 
    141120*li4half*z3 + 4200*ln2^4*z3 + 26880*ln2^3*sinf*z3 + 
    20160*ln2^2*sinf^2*z3 - 37800*ln2^2*z2*z3 - 65520*ln2*sinf*z2*z3 - 
    17640*sinf^2*z2*z3 - 36432*z2^2*z3 + 133200*ln2*z3^2 + 219870*sinf*z3^2 + 
    195300*ln2^2*z5 - 143010*sinf^2*z5 + 501570*z2*z5 - 670725*z7)/40320, 
 H[1, 1, -1, 1, 0, 1, -1, 1] -> (34836480*li7half + 1612800*li6half*ln2 - 
    645120*li5half*ln2^2 + 376320*li4half*ln2^3 + 16384*ln2^7 - 
    7534080*ln2*s6 + 7534080*s7a - 8352000*s7b - 15482880*li6half*sinf - 
    1290240*li5half*ln2*sinf + 1128960*li4half*ln2^2*sinf + 
    36288*ln2^6*sinf - 8386560*s6*sinf + 2580480*li5half*sinf^2 + 
    1128960*li4half*ln2*sinf^2 + 25536*ln2^5*sinf^2 - 1935360*li5half*z2 - 
    806400*li4half*ln2*z2 - 114240*ln2^5*z2 - 1128960*li4half*sinf*z2 - 
    275520*ln2^4*sinf*z2 - 188160*ln2^3*sinf^2*z2 + 1271424*ln2^3*z2^2 + 
    2132928*ln2^2*sinf*z2^2 + 568512*ln2*sinf^2*z2^2 + 2409120*ln2*z2^3 + 
    2098368*sinf*z2^3 + 1008000*li4half*z3 + 82320*ln2^4*z3 + 
    107520*ln2^3*sinf*z3 + 80640*ln2^2*sinf^2*z3 - 574560*ln2^2*z2*z3 - 
    1169280*ln2*sinf*z2*z3 - 80640*sinf^2*z2*z3 + 1515168*z2^2*z3 + 
    9911520*ln2*z3^2 + 3709440*sinf*z3^2 + 16327080*ln2^2*z5 + 
    1874880*ln2*sinf*z5 - 2469600*sinf^2*z5 + 26562600*z2*z5 - 71189595*z7)/
   322560, H[1, 1, -1, 1, 0, 0, 1, 1] -> 
  (-967680*li7half + 192*ln2^7 + 604800*ln2*s6 - 604800*s7a + 725760*s7b + 
    645120*li6half*sinf + 896*ln2^6*sinf + 846720*s6*sinf - 
    161280*li5half*sinf^2 + 1344*ln2^5*sinf^2 - 806400*li5half*z2 + 
    2688*ln2^5*z2 + 483840*li4half*sinf*z2 + 6720*ln2^4*sinf*z2 - 
    13440*ln2^3*sinf^2*z2 - 88704*ln2^3*z2^2 - 177408*ln2^2*sinf*z2^2 - 
    48384*ln2*sinf^2*z2^2 - 281088*ln2*z2^3 - 233376*sinf*z2^3 - 
    483840*li4half*z3 - 5040*ln2^4*z3 + 40320*ln2^3*sinf*z3 + 
    30240*ln2^2*sinf^2*z3 - 120960*ln2*sinf*z2*z3 - 110880*sinf^2*z2*z3 - 
    104832*z2^2*z3 - 756000*ln2*z3^2 - 191520*sinf*z3^2 - 1288980*ln2^2*z5 + 
    391860*sinf^2*z5 - 2492280*z2*z5 + 6767775*z7)/161280, 
 H[1, 1, -1, 1, 0, 0, 0, 1] -> (-126720*ln2*s6 + 126720*s7a - 142080*s7b - 
    134400*s6*sinf + 107520*li5half*z2 - 896*ln2^5*z2 + 25536*ln2^3*z2^2 + 
    29568*ln2^2*sinf*z2^2 + 9408*ln2*sinf^2*z2^2 + 20256*ln2*z2^3 + 
    13056*sinf*z2^3 + 161280*li4half*z3 + 6720*ln2^4*z3 - 10080*ln2^2*z2*z3 + 
    60480*ln2*sinf*z2*z3 + 10080*sinf^2*z2*z3 + 36480*z2^2*z3 + 
    158400*ln2*z3^2 - 9240*sinf*z3^2 + 260400*ln2^2*z5 - 53760*sinf^2*z5 + 
    613080*z2*z5 - 1356795*z7)/53760, H[1, 1, -1, 1, 0, 0, -1, 1] -> 
  (430080*li7half - 215040*li6half*ln2 - 107520*li5half*ln2^2 + 512*ln2^7 - 
    176640*ln2*s6 - 253440*s7a + 526080*s7b - 645120*li6half*sinf - 
    215040*li5half*ln2*sinf + 896*ln2^6*sinf + 80640*s6*sinf - 
    215040*li5half*z2 - 896*ln2^5*z2 + 161280*li4half*sinf*z2 + 
    2240*ln2^4*sinf*z2 + 28224*ln2^3*z2^2 + 32256*ln2^2*sinf*z2^2 + 
    6720*ln2*sinf^2*z2^2 + 243744*ln2*z2^3 + 115072*sinf*z2^3 + 
    40320*li4half*z3 - 8400*ln2^4*z3 - 26880*ln2^3*sinf*z3 - 
    20160*ln2^2*sinf^2*z3 + 70560*ln2^2*z2*z3 + 80640*ln2*sinf*z2*z3 - 
    6720*sinf^2*z2*z3 - 29952*z2^2*z3 - 367200*ln2*z3^2 - 137760*sinf*z3^2 - 
    989520*ln2^2*z5 - 468720*ln2*sinf*z5 + 25200*sinf^2*z5 - 1336200*z2*z5 + 
    1843035*z7)/107520, H[1, 1, -1, 1, 0, -1, 1, 1] -> 
  (-29352960*li7half + 161280*li5half*ln2^2 - 537600*li4half*ln2^3 - 
    17920*ln2^7 + 6474240*ln2*s6 - 6474240*s7a + 7315200*s7b + 
    13547520*li6half*sinf - 1128960*li4half*ln2^2*sinf - 28224*ln2^6*sinf + 
    7580160*s6*sinf - 2096640*li5half*sinf^2 - 645120*li4half*ln2*sinf^2 - 
    9408*ln2^5*sinf^2 + 1935360*li5half*z2 + 806400*li4half*ln2*z2 + 
    103488*ln2^5*z2 + 1128960*li4half*sinf*z2 + 208320*ln2^4*sinf*z2 + 
    107520*ln2^3*sinf^2*z2 - 1274112*ln2^3*z2^2 - 2124864*ln2^2*sinf*z2^2 - 
    544320*ln2*sinf^2*z2^2 - 2394720*ln2*z2^3 - 1964736*sinf*z2^3 - 
    1249920*li4half*z3 - 11760*ln2^4*z3 + 107520*ln2^3*sinf*z3 + 
    80640*ln2^2*sinf^2*z3 - 10080*ln2^2*z2*z3 + 524160*ln2*sinf*z2*z3 - 
    80640*sinf^2*z2*z3 - 1408608*z2^2*z3 - 8092800*ln2*z3^2 - 
    3018960*sinf*z3^2 - 12186720*ln2^2*z5 + 2295720*sinf^2*z5 - 
    25386840*z2*z5 + 65436255*z7)/322560, H[1, 1, -1, 1, 0, -1, 0, 1] -> 
  (5160960*li7half + 215040*li4half*ln2^3 + 7936*ln2^7 - 1301760*ln2*s6 + 
    1301760*s7a - 2891520*s7b - 3870720*li6half*sinf + 
    645120*li4half*ln2^2*sinf + 21504*ln2^6*sinf - 3064320*s6*sinf + 
    1290240*li5half*sinf^2 + 645120*li4half*ln2*sinf^2 + 16128*ln2^5*sinf^2 - 
    4677120*li5half*z2 - 2741760*li4half*ln2*z2 - 107520*ln2^5*z2 + 
    161280*li4half*sinf*z2 - 73920*ln2^4*sinf*z2 - 53760*ln2^3*sinf^2*z2 + 
    471744*ln2^3*z2^2 + 334656*ln2^2*sinf*z2^2 + 221760*ln2*sinf^2*z2^2 - 
    494496*ln2*z2^3 + 341376*sinf*z2^3 - 40320*li4half*z3 + 58800*ln2^4*z3 + 
    161280*ln2^3*sinf*z3 + 120960*ln2^2*sinf^2*z3 + 312480*ln2^2*z2*z3 + 
    1088640*ln2*sinf*z2*z3 + 141120*sinf^2*z2*z3 + 523872*z2^2*z3 + 
    1627200*ln2*z3^2 + 1144080*sinf*z3^2 + 4062240*ln2^2*z5 - 
    1668240*sinf^2*z5 + 15723720*z2*z5 - 23684085*z7)/322560, 
 H[1, 1, -1, 1, 0, -1, -1, 1] -> (-967680*li7half - 322560*li6half*ln2 + 
    268800*li5half*ln2^2 + 107520*li4half*ln2^3 + 1984*ln2^7 + 
    261120*ln2*s6 - 207360*s7a + 303360*s7b + 322560*li6half*sinf + 
    645120*li5half*ln2*sinf + 161280*li4half*ln2^2*sinf + 1792*ln2^6*sinf + 
    322560*s6*sinf + 161280*li5half*sinf^2 - 1344*ln2^5*sinf^2 - 
    483840*li5half*z2 - 161280*li4half*ln2*z2 - 4480*ln2^5*z2 + 
    6720*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 + 67200*ln2^3*z2^2 + 
    133056*ln2^2*sinf*z2^2 + 64512*ln2*sinf^2*z2^2 - 38496*ln2*z2^3 + 
    6144*sinf*z2^3 + 80640*li4half*z3 - 33600*ln2^4*z3 - 
    98560*ln2^3*sinf*z3 - 73920*ln2^2*sinf^2*z3 + 204960*ln2^2*z2*z3 + 
    154560*ln2*sinf*z2*z3 + 3360*sinf^2*z2*z3 - 77472*z2^2*z3 - 
    420480*ln2*z3^2 - 162120*sinf*z3^2 - 1510320*ln2^2*z5 - 
    1249920*ln2*sinf*z5 - 166320*sinf^2*z5 - 115800*z2*z5 + 1770075*z7)/
   107520, H[1, 1, -1, 1, -1, 1, 1, 1] -> 
  (-967680*li7half - 80640*li4half*ln2^3 - 3648*ln2^7 + 691200*ln2*s6 - 
    691200*s7a - 933120*s7b + 483840*li6half*sinf - 
    241920*li4half*ln2^2*sinf - 10528*ln2^6*sinf - 120960*s6*sinf - 
    241920*li5half*sinf^2 - 241920*li4half*ln2*sinf^2 - 8736*ln2^5*sinf^2 + 
    241920*li5half*z2 + 483840*li4half*ln2*z2 + 45024*ln2^5*z2 + 
    241920*li4half*sinf*z2 + 77280*ln2^4*sinf*z2 + 47040*ln2^3*sinf^2*z2 - 
    91392*ln2^3*z2^2 - 46368*ln2^2*sinf*z2^2 - 2016*ln2*sinf^2*z2^2 - 
    299520*ln2*z2^3 - 69120*sinf*z2^3 - 423360*li4half*z3 - 115920*ln2^4*z3 - 
    208320*ln2^3*sinf*z3 - 115920*ln2^2*sinf^2*z3 + 811440*ln2^2*z2*z3 + 
    624960*ln2*sinf*z2*z3 + 115920*sinf^2*z2*z3 + 1195632*z2^2*z3 - 
    864000*ln2*z3^2 - 501480*sinf*z3^2 + 234360*ln2^2*z5 + 28980*sinf^2*z5 + 
    2719620*z2*z5 - 7319565*z7)/161280, H[1, 1, -1, 1, -1, 1, 0, 1] -> 
  (322560*li7half - 64*ln2^7 - 66240*ln2*s6 + 66240*s7a + 86400*s7b - 
    80640*li6half*sinf - 112*ln2^6*sinf + 20160*s6*sinf - 672*ln2^5*z2 - 
    1680*ln2^4*sinf*z2 - 1120*ln2^3*sinf^2*z2 + 7280*ln2^3*z2^2 + 
    2352*ln2^2*sinf*z2^2 - 1344*ln2*sinf^2*z2^2 + 65232*ln2*z2^3 + 
    9504*sinf*z2^3 + 3360*ln2^4*z3 + 8960*ln2^3*sinf*z3 + 
    6720*ln2^2*sinf^2*z3 - 85680*ln2^2*z2*z3 - 63840*ln2*sinf*z2*z3 - 
    8400*sinf^2*z2*z3 - 90864*z2^2*z3 + 82800*ln2*z3^2 + 48300*sinf*z3^2 - 
    19530*ln2^2*z5 + 13440*sinf^2*z5 - 316590*z2*z5 + 475035*z7)/26880, 
 H[1, 1, -1, 1, -1, 1, -1, 1] -> (483840*li7half + 384*ln2^7 + 17280*ln2*s6 - 
    17280*s7a + 103680*s7b + 1120*ln2^6*sinf + 672*ln2^5*sinf^2 - 
    8736*ln2^5*z2 - 16800*ln2^4*sinf*z2 - 6720*ln2^3*sinf^2*z2 - 
    9408*ln2^3*z2^2 - 14112*ln2^2*sinf*z2^2 + 2016*ln2*sinf^2*z2^2 + 
    67680*ln2*z2^3 - 17568*sinf*z2^3 + 45360*ln2^4*z3 + 67200*ln2^3*sinf*z3 + 
    10080*ln2^2*sinf^2*z3 - 282240*ln2^2*z2*z3 - 201600*ln2*sinf*z2*z3 - 
    10080*sinf^2*z2*z3 - 137664*z2^2*z3 + 300960*ln2*z3^2 + 75600*sinf*z3^2 + 
    44100*ln2^2*z5 + 322560*ln2*sinf*z5 + 15120*sinf^2*z5 - 484740*z2*z5 + 
    644445*z7)/161280, H[1, 1, -1, 1, -1, 0, 1, 1] -> 
  (2580480*li7half + 107520*li4half*ln2^3 + 3968*ln2^7 - 1059840*ln2*s6 + 
    1059840*s7a + 656640*s7b - 1451520*li6half*sinf + 
    322560*li4half*ln2^2*sinf + 11424*ln2^6*sinf - 282240*s6*sinf + 
    403200*li5half*sinf^2 + 322560*li4half*ln2*sinf^2 + 10080*ln2^5*sinf^2 - 
    887040*li5half*z2 - 645120*li4half*ln2*z2 - 43680*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 84000*ln2^4*sinf*z2 - 60480*ln2^3*sinf^2*z2 + 
    165312*ln2^3*z2^2 + 215712*ln2^2*sinf*z2^2 + 38304*ln2*sinf^2*z2^2 + 
    327744*ln2*z2^3 + 223488*sinf*z2^3 + 564480*li4half*z3 + 89040*ln2^4*z3 + 
    174720*ln2^3*sinf*z3 + 131040*ln2^2*sinf^2*z3 - 826560*ln2^2*z2*z3 - 
    846720*ln2*sinf*z2*z3 - 151200*sinf^2*z2*z3 - 1016352*z2^2*z3 + 
    1324800*ln2*z3^2 + 705600*sinf*z3^2 + 390600*ln2^2*z5 - 
    127260*sinf^2*z5 - 1731060*z2*z5 + 4871295*z7)/161280, 
 H[1, 1, -1, 1, -1, 0, 0, 1] -> (-120960*li7half + 24*ln2^7 + 14400*ln2*s6 - 
    14400*s7a - 105120*s7b + 40320*li6half*sinf + 56*ln2^6*sinf - 
    45360*s6*sinf + 60480*li5half*z2 - 1008*ln2^5*z2 - 840*ln2^4*sinf*z2 + 
    8148*ln2^3*z2^2 + 7560*ln2^2*sinf*z2^2 + 4788*ln2*sinf^2*z2^2 - 
    13284*ln2*z2^3 - 4428*sinf*z2^3 - 1890*ln2^4*z3 - 5040*ln2^3*sinf*z3 - 
    3780*ln2^2*sinf^2*z3 + 30240*ln2^2*z2*z3 + 45360*ln2*sinf*z2*z3 + 
    8820*sinf^2*z2*z3 + 72684*z2^2*z3 - 18000*ln2*z3^2 - 30240*sinf*z3^2 + 
    87885*ln2^2*z5 - 18900*sinf^2*z5 + 339660*z2*z5 - 715770*z7)/20160, 
 H[1, 1, -1, 1, -1, 0, -1, 1] -> (3306240*li7half + 80640*li6half*ln2 - 
    120960*li5half*ln2^2 + 53760*li4half*ln2^3 + 2704*ln2^7 - 
    1048320*ln2*s6 + 745920*s7a - 322560*s7b - 1774080*li6half*sinf - 
    241920*li5half*ln2*sinf + 161280*li4half*ln2^2*sinf + 6272*ln2^6*sinf - 
    806400*s6*sinf + 322560*li5half*sinf^2 + 161280*li4half*ln2*sinf^2 + 
    4032*ln2^5*sinf^2 - 322560*li5half*z2 - 322560*li4half*ln2*z2 - 
    24192*ln2^5*z2 - 161280*li4half*sinf*z2 - 35280*ln2^4*sinf*z2 - 
    16800*ln2^3*sinf^2*z2 + 185808*ln2^3*z2^2 + 233856*ln2^2*sinf*z2^2 + 
    66528*ln2*sinf^2*z2^2 + 429696*ln2*z2^3 + 289584*sinf*z2^3 + 
    282240*li4half*z3 + 14280*ln2^4*z3 + 6720*ln2^3*sinf*z3 + 
    5040*ln2^2*sinf^2*z3 - 131040*ln2^2*z2*z3 - 100800*ln2*sinf*z2*z3 - 
    10080*sinf^2*z2*z3 - 30744*z2^2*z3 + 825300*ln2*z3^2 + 346500*sinf*z3^2 + 
    976500*ln2^2*z5 - 117180*ln2*sinf*z5 - 307440*sinf^2*z5 + 1361430*z2*z5 - 
    4470165*z7)/80640, H[1, 1, -1, 1, -1, -1, 1, 1] -> 
  (-1935360*li7half + 1344*ln2^7 + 34560*ln2*s6 - 34560*s7a + 1900800*s7b + 
    1935360*li6half*sinf + 4928*ln2^6*sinf + 1935360*s6*sinf - 
    483840*li5half*sinf^2 + 5376*ln2^5*sinf^2 + 483840*li5half*z2 - 
    33600*ln2^5*z2 - 73920*ln2^4*sinf*z2 - 53760*ln2^3*sinf^2*z2 - 
    176064*ln2^3*z2^2 - 423360*ln2^2*sinf*z2^2 - 193536*ln2*sinf^2*z2^2 + 
    82080*ln2*z2^3 - 288192*sinf*z2^3 + 196560*ln2^4*z3 + 
    416640*ln2^3*sinf*z3 + 231840*ln2^2*sinf^2*z3 - 1088640*ln2^2*z2*z3 - 
    927360*ln2*sinf*z2*z3 - 231840*sinf^2*z2*z3 - 1277280*z2^2*z3 - 
    43200*ln2*z3^2 + 45360*sinf*z3^2 - 987840*ln2^2*z5 + 929880*sinf^2*z5 - 
    7461000*z2*z5 + 16744365*z7)/322560, H[1, 1, -1, 1, -1, -1, 0, 1] -> 
  (-3548160*li7half + 53760*li4half*ln2^3 + 2944*ln2^7 + 1082880*ln2*s6 - 
    1082880*s7a - 1808640*s7b + 645120*li6half*sinf + 
    161280*li4half*ln2^2*sinf + 7616*ln2^6*sinf - 725760*s6*sinf + 
    161280*li5half*sinf^2 + 161280*li4half*ln2*sinf^2 + 5376*ln2^5*sinf^2 - 
    1128960*li5half*z2 - 322560*li4half*ln2*z2 - 8064*ln2^5*z2 + 
    806400*li4half*sinf*z2 + 20160*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 - 
    100800*ln2^3*z2^2 - 229824*ln2^2*sinf*z2^2 + 16128*ln2*sinf^2*z2^2 - 
    1152864*ln2*z2^3 - 349056*sinf*z2^3 - 685440*li4half*z3 - 
    33600*ln2^4*z3 - 13440*ln2^3*sinf*z3 - 10080*ln2^2*sinf^2*z3 + 
    1552320*ln2^2*z2*z3 + 1753920*ln2*sinf*z2*z3 + 241920*sinf^2*z2*z3 + 
    1145952*z2^2*z3 - 1353600*ln2*z3^2 - 556920*sinf*z3^2 + 703080*ln2^2*z5 - 
    630000*sinf^2*z5 + 8742600*z2*z5 - 12043485*z7)/322560, 
 H[1, 1, -1, 1, -1, -1, -1, 1] -> (2257920*li7half + 53760*li4half*ln2^3 + 
    832*ln2^7 - 576000*ln2*s6 + 576000*s7a - 149760*s7b - 
    2257920*li6half*sinf + 161280*li4half*ln2^2*sinf + 1344*ln2^6*sinf - 
    725760*s6*sinf + 645120*li5half*sinf^2 + 161280*li4half*ln2*sinf^2 - 
    645120*li5half*z2 - 322560*li4half*ln2*z2 + 9408*ln2^5*z2 - 
    161280*li4half*sinf*z2 + 33600*ln2^4*sinf*z2 + 26880*ln2^3*sinf^2*z2 + 
    243264*ln2^3*z2^2 + 463680*ln2^2*sinf*z2^2 + 193536*ln2*sinf^2*z2^2 + 
    375456*ln2*z2^3 + 439296*sinf*z2^3 + 282240*li4half*z3 - 
    149520*ln2^4*z3 - 322560*ln2^3*sinf*z3 - 161280*ln2^2*sinf^2*z3 + 
    574560*ln2^2*z2*z3 + 322560*ln2*sinf*z2*z3 - 14400*z2^2*z3 + 
    74880*ln2*z3^2 + 231840*sinf*z3^2 - 1071000*ln2^2*z5 - 
    1774080*ln2*sinf*z5 - 645120*sinf^2*z5 + 1994760*z2*z5 - 4224645*z7)/
   322560, H[1, 1, -1, 0, 1, 1, 1, 1] -> 
  (40320*li7half + 6720*li4half*ln2^3 + 272*ln2^7 - 83520*ln2*s6 + 
    83520*s7a - 17280*s7b - 40320*li6half*sinf + 20160*li4half*ln2^2*sinf + 
    784*ln2^6*sinf - 100800*s6*sinf + 20160*li5half*sinf^2 + 
    20160*li4half*ln2*sinf^2 + 672*ln2^5*sinf^2 - 20160*li5half*z2 - 
    40320*li4half*ln2*z2 - 3024*ln2^5*z2 - 20160*li4half*sinf*z2 - 
    5040*ln2^4*sinf*z2 - 3360*ln2^3*sinf^2*z2 + 11088*ln2^3*z2^2 + 
    13104*ln2^2*sinf*z2^2 + 8064*ln2*sinf^2*z2^2 + 93744*ln2*z2^3 + 
    12672*sinf*z2^3 + 35280*li4half*z3 + 5880*ln2^4*z3 + 
    11760*ln2^3*sinf*z3 + 8820*ln2^2*sinf^2*z3 - 44100*ln2^2*z2*z3 - 
    35280*ln2*sinf*z2*z3 - 8820*sinf^2*z2*z3 - 25020*z2^2*z3 + 
    104400*ln2*z3^2 + 68670*sinf*z3^2 + 97650*ln2^2*z5 - 17010*sinf^2*z5 + 
    70920*z2*z5 - 289845*z7)/40320, H[1, 1, -1, 0, 1, 1, 0, 1] -> 
  (145920*ln2*s6 - 145920*s7a + 149760*s7b + 295680*s6*sinf - 
    107520*li5half*z2 + 896*ln2^5*z2 + 107520*li4half*sinf*z2 + 
    4480*ln2^4*sinf*z2 - 17920*ln2^3*z2^2 - 53760*ln2^2*sinf*z2^2 - 
    26880*ln2*sinf^2*z2^2 - 86880*ln2*z2^3 - 23232*sinf*z2^3 - 
    107520*li4half*z3 - 4480*ln2^4*z3 + 16800*ln2^2*z2*z3 - 
    20160*ln2*sinf*z2*z3 - 3360*sinf^2*z2*z3 - 54144*z2^2*z3 - 
    182400*ln2*z3^2 - 99960*sinf*z3^2 - 286440*ln2^2*z5 + 44520*sinf^2*z5 - 
    629760*z2*z5 + 1561215*z7)/107520, H[1, 1, -1, 0, 1, 1, -1, 1] -> 
  (-1720320*li7half - 268800*li6half*ln2 - 26880*li5half*ln2^2 - 
    13440*li4half*ln2^3 - 368*ln2^7 + 340800*ln2*s6 - 441600*s7a + 
    526080*s7b + 403200*li6half*sinf - 53760*li5half*ln2*sinf - 
    40320*li4half*ln2^2*sinf - 672*ln2^6*sinf + 248640*s6*sinf - 
    94080*li5half*sinf^2 - 40320*li4half*ln2*sinf^2 - 896*ln2^5*sinf^2 + 
    120960*li5half*z2 + 80640*li4half*ln2*z2 + 5264*ln2^5*z2 + 
    40320*li4half*sinf*z2 + 8960*ln2^4*sinf*z2 + 12320*ln2^3*sinf^2*z2 - 
    70560*ln2^3*z2^2 - 111888*ln2^2*sinf*z2^2 - 23184*ln2*sinf^2*z2^2 - 
    88128*ln2*z2^3 - 59136*sinf*z2^3 - 70560*li4half*z3 - 2940*ln2^4*z3 + 
    35280*ln2^2*z2*z3 - 126552*z2^2*z3 - 503910*ln2*z3^2 - 93240*sinf*z3^2 - 
    878850*ln2^2*z5 + 117180*ln2*sinf*z5 + 95970*sinf^2*z5 - 1730160*z2*z5 + 
    4239555*z7)/26880, H[1, 1, -1, 0, 1, 0, 1, 1] -> 
  (-161280*li7half - 26880*li4half*ln2^3 - 1088*ln2^7 + 260640*ln2*s6 - 
    260640*s7a - 190080*s7b + 161280*li6half*sinf - 
    80640*li4half*ln2^2*sinf - 3136*ln2^6*sinf + 70560*s6*sinf - 
    80640*li5half*sinf^2 - 80640*li4half*ln2*sinf^2 - 2688*ln2^5*sinf^2 - 
    40320*li5half*z2 + 161280*li4half*ln2*z2 + 13104*ln2^5*z2 + 
    201600*li4half*sinf*z2 + 25200*ln2^4*sinf*z2 + 13440*ln2^3*sinf^2*z2 - 
    41664*ln2^3*z2^2 - 44352*ln2^2*sinf*z2^2 + 6048*ln2*sinf^2*z2^2 - 
    94536*ln2*z2^3 - 57528*sinf*z2^3 - 383040*li4half*z3 - 33600*ln2^4*z3 - 
    47040*ln2^3*sinf*z3 - 35280*ln2^2*sinf^2*z3 + 236880*ln2^2*z2*z3 + 
    141120*ln2*sinf*z2*z3 + 22680*sinf^2*z2*z3 + 314712*z2^2*z3 - 
    325800*ln2*z3^2 - 124740*sinf*z3^2 - 68355*ln2^2*z5 + 28035*sinf^2*z5 + 
    513630*z2*z5 - 1378935*z7)/40320, H[1, 1, -1, 0, 1, 0, 0, 1] -> 
  (-117120*ln2*s6 + 117120*s7a + 49920*s7b - 67200*s6*sinf + 
    107520*li5half*z2 - 896*ln2^5*z2 - 107520*li4half*sinf*z2 - 
    4480*ln2^4*sinf*z2 + 14336*ln2^3*z2^2 + 43008*ln2^2*sinf*z2^2 + 
    16128*ln2*sinf^2*z2^2 + 34656*ln2*z2^3 + 16064*sinf*z2^3 + 
    188160*li4half*z3 + 7840*ln2^4*z3 - 77280*ln2^2*z2*z3 - 
    60480*ln2*sinf*z2*z3 - 10080*sinf^2*z2*z3 - 68112*z2^2*z3 + 
    146400*ln2*z3^2 + 49560*sinf*z3^2 + 65100*ln2^2*z5 + 8820*sinf^2*z5 - 
    262140*z2*z5 + 383415*z7)/26880, H[1, 1, -1, 0, 1, 0, -1, 1] -> 
  (1290240*li7half + 645120*li6half*ln2 + 322560*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 2432*ln2^7 - 316800*ln2*s6 - 46080*s7a + 
    679680*s7b + 645120*li5half*ln2*sinf + 322560*li4half*ln2^2*sinf + 
    8064*ln2^6*sinf + 645120*li5half*sinf^2 + 322560*li4half*ln2*sinf^2 + 
    8064*ln2^5*sinf^2 - 1209600*li5half*z2 - 645120*li4half*ln2*z2 - 
    24864*ln2^5*z2 - 80640*li4half*sinf*z2 - 30240*ln2^4*sinf*z2 - 
    26880*ln2^3*sinf^2*z2 + 108192*ln2^3*z2^2 + 163296*ln2^2*sinf*z2^2 + 
    143136*ln2*sinf^2*z2^2 + 240480*ln2*z2^3 + 49536*sinf*z2^3 + 
    262080*li4half*z3 + 10920*ln2^4*z3 - 65520*ln2^2*z2*z3 - 
    25200*sinf^2*z2*z3 - 254880*z2^2*z3 - 212580*ln2*z3^2 + 31500*sinf*z3^2 - 
    1210860*ln2^2*z5 - 1015560*ln2*sinf*z5 - 619920*sinf^2*z5 - 
    920520*z2*z5 + 2177055*z7)/161280, H[1, 1, -1, 0, 1, -1, 1, 1] -> 
  (16289280*li7half - 322560*li5half*ln2^2 + 53760*li4half*ln2^3 + 
    1696*ln2^7 - 3329280*ln2*s6 + 3329280*s7a - 4815360*s7b - 
    6773760*li6half*sinf + 80640*li4half*ln2^2*sinf - 6048*ln2^6*sinf - 
    3790080*s6*sinf + 887040*li5half*sinf^2 - 7392*ln2^5*sinf^2 - 
    564480*li5half*z2 - 161280*li4half*ln2*z2 - 14784*ln2^5*z2 - 
    80640*li4half*sinf*z2 - 3360*ln2^4*sinf*z2 - 47040*ln2^3*sinf^2*z2 + 
    553056*ln2^3*z2^2 + 909216*ln2^2*sinf*z2^2 + 284256*ln2*sinf^2*z2^2 + 
    1150272*ln2*z2^3 + 893664*sinf*z2^3 + 282240*li4half*z3 - 
    41160*ln2^4*z3 - 141120*ln2^3*sinf*z3 - 105840*ln2^2*sinf^2*z3 + 
    141120*ln2^2*z2*z3 + 423360*ln2*sinf*z2*z3 + 105840*sinf^2*z2*z3 + 
    1613736*z2^2*z3 + 4161600*ln2*z3^2 + 1050840*sinf*z3^2 + 
    8476020*ln2^2*z5 - 1064700*sinf^2*z5 + 14878440*z2*z5 - 40150575*z7)/
   161280, H[1, 1, -1, 0, 1, -1, 0, 1] -> 
  (-1720320*li7half - 35840*li4half*ln2^3 - 1152*ln2^7 + 278400*ln2*s6 - 
    278400*s7a + 380160*s7b + 1290240*li6half*sinf - 
    107520*li4half*ln2^2*sinf - 2688*ln2^6*sinf + 698880*s6*sinf - 
    430080*li5half*sinf^2 - 107520*li4half*ln2*sinf^2 - 896*ln2^5*sinf^2 + 
    1021440*li5half*z2 + 295680*li4half*ln2*z2 + 5600*ln2^5*z2 - 
    80640*li4half*sinf*z2 - 3360*ln2^4*sinf*z2 - 8960*ln2^3*sinf^2*z2 - 
    37184*ln2^3*z2^2 - 84000*ln2^2*sinf*z2^2 - 93408*ln2*sinf^2*z2^2 + 
    16224*ln2*z2^3 - 149184*sinf*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 - 
    50400*ln2^2*z2*z3 - 131040*ln2*sinf*z2*z3 - 21840*sinf^2*z2*z3 - 
    83256*z2^2*z3 - 348000*ln2*z3^2 - 191100*sinf*z3^2 - 637980*ln2^2*z5 + 
    459480*sinf^2*z5 - 2166720*z2*z5 + 3652995*z7)/53760, 
 H[1, 1, -1, 0, 1, -1, -1, 1] -> (-4730880*li7half + 645120*li6half*ln2 + 
    215040*li5half*ln2^2 - 71680*li4half*ln2^3 - 2944*ln2^7 + 
    1413120*ln2*s6 - 1144320*s7a + 1516800*s7b + 2580480*li6half*sinf - 
    161280*li4half*ln2^2*sinf - 3136*ln2^6*sinf + 1397760*s6*sinf - 
    376320*li5half*sinf^2 - 107520*li4half*ln2*sinf^2 - 1344*ln2^5*sinf^2 + 
    376320*li5half*z2 + 268800*li4half*ln2*z2 + 24192*ln2^5*z2 + 
    107520*li4half*sinf*z2 + 31360*ln2^4*sinf*z2 + 35840*ln2^3*sinf^2*z2 - 
    264768*ln2^3*z2^2 - 384384*ln2^2*sinf*z2^2 - 92736*ln2*sinf^2*z2^2 - 
    323040*ln2*z2^3 - 334656*sinf*z2^3 - 201600*li4half*z3 - 8400*ln2^4*z3 + 
    120960*ln2^2*z2*z3 - 348720*z2^2*z3 - 1654680*ln2*z3^2 - 
    524160*sinf*z3^2 - 2968560*ln2^2*z5 + 371280*sinf^2*z5 - 4910040*z2*z5 + 
    11808855*z7)/107520, H[1, 1, -1, 0, 0, 1, 1, 1] -> 
  (80640*li7half + 13440*li4half*ln2^3 + 544*ln2^7 - 54720*ln2*s6 + 
    54720*s7a + 34560*s7b - 80640*li6half*sinf + 40320*li4half*ln2^2*sinf + 
    1568*ln2^6*sinf - 20160*s6*sinf + 40320*li5half*sinf^2 + 
    40320*li4half*ln2*sinf^2 + 1344*ln2^5*sinf^2 - 40320*li5half*z2 - 
    80640*li4half*ln2*z2 - 6048*ln2^5*z2 - 40320*li4half*sinf*z2 - 
    10080*ln2^4*sinf*z2 - 6720*ln2^3*sinf^2*z2 + 17472*ln2^3*z2^2 + 
    12096*ln2^2*sinf*z2^2 + 2016*ln2*sinf^2*z2^2 + 6192*ln2*z2^3 + 
    2160*sinf*z2^3 - 50400*li4half*z3 + 6720*ln2^4*z3 + 23520*ln2^3*sinf*z3 + 
    17640*ln2^2*sinf^2*z3 - 57960*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 - 
    17640*sinf^2*z2*z3 - 127872*z2^2*z3 + 68400*ln2*z3^2 + 102060*sinf*z3^2 + 
    19530*ln2^2*z5 - 9450*sinf^2*z5 - 91440*z2*z5 + 634815*z7)/40320, 
 H[1, 1, -1, 0, 0, 1, 0, 1] -> (30720*ln2*s6 - 30720*s7a + 103680*s7b + 
    134400*s6*sinf - 107520*li5half*z2 + 896*ln2^5*z2 + 
    107520*li4half*sinf*z2 + 4480*ln2^4*sinf*z2 - 19712*ln2^3*z2^2 - 
    59136*ln2^2*sinf*z2^2 - 32256*ln2*sinf^2*z2^2 + 49440*ln2*z2^3 + 
    20800*sinf*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 - 23520*ln2^2*z2*z3 + 
    60480*ln2*sinf*z2*z3 + 10080*sinf^2*z2*z3 - 92640*z2^2*z3 - 
    38400*ln2*z3^2 - 170520*sinf*z3^2 - 130200*ln2^2*z5 + 9240*sinf^2*z5 - 
    32400*z2*z5 + 110415*z7)/53760, H[1, 1, -1, 0, 0, 1, -1, 1] -> 
  (1290240*li7half + 1290240*li6half*ln2 + 322560*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 5632*ln2^7 + 564480*ln2*s6 + 967680*s7a - 
    1370880*s7b + 1935360*li6half*sinf + 645120*li5half*ln2*sinf - 
    322560*li4half*ln2^2*sinf - 16128*ln2^6*sinf + 1370880*s6*sinf - 
    322560*li4half*ln2*sinf^2 - 13440*ln2^5*sinf^2 - 322560*li5half*z2 - 
    806400*li4half*ln2*z2 + 1344*ln2^5*z2 + 322560*li4half*sinf*z2 + 
    107520*ln2^4*sinf*z2 + 80640*ln2^3*sinf^2*z2 - 32256*ln2^3*z2^2 - 
    520128*ln2^2*sinf*z2^2 - 47520*ln2*z2^3 - 216576*sinf*z2^3 + 
    403200*li4half*z3 + 16800*ln2^4*z3 - 100800*ln2^2*z2*z3 + 
    786240*ln2*sinf*z2*z3 + 318528*z2^2*z3 + 423360*ln2*z3^2 - 
    776160*sinf*z3^2 + 1484280*ln2^2*z5 - 1562400*ln2*sinf*z5 + 
    75600*sinf^2*z5 + 4805640*z2*z5 - 8759835*z7)/322560, 
 H[1, 1, -1, 0, 0, 0, 1, 1] -> (-9120*ln2*s6 + 9120*s7a - 7680*s7b - 
    16800*s6*sinf + 13440*li5half*z2 - 112*ln2^5*z2 - 13440*li4half*sinf*z2 - 
    560*ln2^4*sinf*z2 + 1568*ln2^3*z2^2 + 4704*ln2^2*sinf*z2^2 + 
    1344*ln2*sinf^2*z2^2 + 2280*ln2*z2^3 + 2120*sinf*z2^3 + 6720*li4half*z3 + 
    280*ln2^4*z3 - 1680*ln2^2*z2*z3 + 2520*sinf^2*z2*z3 + 108*z2^2*z3 + 
    11400*ln2*z3^2 + 6720*sinf*z3^2 + 16275*ln2^2*z5 - 6195*sinf^2*z5 + 
    41880*z2*z5 - 88500*z7)/6720, H[1, 1, -1, 0, 0, 0, 0, 1] -> 
  (6720*ln2*s6 - 6720*s7a + 6720*s6*sinf - 2688*ln2*z2^3 - 1536*sinf*z2^3 - 
    13440*li4half*z3 - 560*ln2^4*z3 + 3360*ln2^2*z2*z3 + 168*z2^2*z3 - 
    8400*ln2*z3^2 - 6510*ln2^2*z5 + 3150*sinf^2*z5 - 22470*z2*z5 + 46305*z7)/
   6720, H[1, 1, -1, 0, 0, 0, -1, 1] -> 
  (-1920*ln2*s6 + 42240*s7a - 145920*s7b - 107520*s6*sinf + 
    26880*li5half*z2 - 224*ln2^5*z2 - 26880*li4half*sinf*z2 - 
    1120*ln2^4*sinf*z2 + 3808*ln2^3*z2^2 + 11424*ln2^2*sinf*z2^2 + 
    4704*ln2*sinf^2*z2^2 - 47904*ln2*z2^3 - 14048*sinf*z2^3 - 
    26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 5040*sinf^2*z2*z3 + 
    44976*z2^2*z3 + 84720*ln2*z3^2 + 50400*sinf*z3^2 + 247380*ln2^2*z5 + 
    130200*ln2*sinf*z5 - 14280*sinf^2*z5 + 408900*z2*z5 - 716235*z7)/26880, 
 H[1, 1, -1, 0, 0, -1, 1, 1] -> (-215040*li7half + 53760*li5half*ln2^2 + 
    35840*li4half*ln2^3 + 1088*ln2^7 + 111360*ln2*s6 - 111360*s7a + 
    211200*s7b + 53760*li4half*ln2^2*sinf + 2240*ln2^6*sinf - 
    107520*li5half*sinf^2 + 896*ln2^5*sinf^2 + 53760*li5half*z2 + 
    134400*li4half*ln2*z2 - 224*ln2^5*z2 - 53760*li4half*sinf*z2 - 
    15680*ln2^4*sinf*z2 - 8960*ln2^3*sinf^2*z2 - 672*ln2^3*z2^2 + 
    68544*ln2^2*sinf*z2^2 - 18144*ln2*sinf^2*z2^2 + 2208*ln2*z2^3 + 
    5376*sinf*z2^3 - 73920*li4half*z3 - 3080*ln2^4*z3 + 18480*ln2^2*z2*z3 - 
    131040*ln2*sinf*z2*z3 - 85752*z2^2*z3 - 139200*ln2*z3^2 + 
    70980*sinf*z3^2 - 520800*ln2^2*z5 + 90720*sinf^2*z5 - 512880*z2*z5 + 
    1132485*z7)/53760, H[1, 1, -1, 0, 0, -1, 0, 1] -> 
  (13440*ln2*s6 - 13440*s7a + 80640*s7b + 94080*s6*sinf + 134400*li5half*z2 + 
    80640*li4half*ln2*z2 + 2240*ln2^5*z2 + 26880*li4half*sinf*z2 + 
    1120*ln2^4*sinf*z2 - 13664*ln2^3*z2^2 - 20832*ln2^2*sinf*z2^2 - 
    14112*ln2*sinf^2*z2^2 + 52752*ln2*z2^3 + 13936*sinf*z2^3 + 
    33600*li4half*z3 + 1400*ln2^4*z3 - 23520*ln2^2*z2*z3 - 
    30240*ln2*sinf*z2*z3 - 5040*sinf^2*z2*z3 - 48468*z2^2*z3 - 
    16800*ln2*z3^2 - 51660*sinf*z3^2 - 91140*ln2^2*z5 + 21420*sinf^2*z5 - 
    456120*z2*z5 + 564585*z7)/26880, H[1, 1, -1, 0, 0, -1, -1, 1] -> 
  (-1935360*li7half - 2580480*li6half*ln2 - 1290240*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 1408*ln2^7 - 1209600*ln2*s6 - 564480*s7a + 
    241920*s7b - 2580480*li6half*sinf - 1935360*li5half*ln2*sinf - 
    322560*li4half*ln2^2*sinf - 896*ln2^6*sinf - 1451520*s6*sinf - 
    322560*li5half*sinf^2 + 2688*ln2^5*sinf^2 + 1290240*li5half*z2 + 
    322560*li4half*ln2*z2 - 5376*ln2^5*z2 - 26880*ln2^4*sinf*z2 - 
    26880*ln2^3*sinf^2*z2 - 13440*ln2^3*z2^2 - 120960*ln2^2*sinf*z2^2 - 
    120960*ln2*sinf^2*z2^2 + 251424*ln2*z2^3 + 263232*sinf*z2^3 - 
    201600*li4half*z3 + 62160*ln2^4*z3 + 188160*ln2^3*sinf*z3 + 
    141120*ln2^2*sinf^2*z3 - 372960*ln2^2*z2*z3 - 282240*ln2*sinf*z2*z3 - 
    61488*z2^2*z3 + 488880*ln2*z3^2 + 612360*sinf*z3^2 + 1796760*ln2^2*z5 + 
    2656080*ln2*sinf*z5 + 315000*sinf^2*z5 - 2378880*z2*z5 + 3547845*z7)/
   322560, H[1, 1, -1, 0, -1, 1, 1, 1] -> 
  (-2016000*li7half + 6720*li4half*ln2^3 + 680*ln2^7 + 106560*ln2*s6 - 
    106560*s7a + 518400*s7b + 967680*li6half*sinf + 
    40320*li4half*ln2^2*sinf + 3024*ln2^6*sinf + 463680*s6*sinf - 
    120960*li5half*sinf^2 + 40320*li4half*ln2*sinf^2 + 2688*ln2^5*sinf^2 + 
    120960*li5half*z2 - 60480*li4half*ln2*z2 - 8568*ln2^5*z2 - 
    40320*li4half*sinf*z2 - 16800*ln2^4*sinf*z2 - 5040*ln2^3*sinf^2*z2 - 
    24864*ln2^3*z2^2 - 61992*ln2^2*sinf*z2^2 - 38808*ln2*sinf^2*z2^2 - 
    132264*ln2*z2^3 - 132264*sinf*z2^3 + 35280*li4half*z3 + 27930*ln2^4*z3 + 
    52920*ln2^3*sinf*z3 + 26460*ln2^2*sinf^2*z3 - 167580*ln2^2*z2*z3 - 
    158760*ln2*sinf*z2*z3 - 26460*sinf^2*z2*z3 - 353664*z2^2*z3 - 
    133200*ln2*z3^2 - 34965*sinf*z3^2 - 605430*ln2^2*z5 + 153720*sinf^2*z5 - 
    1696050*z2*z5 + 5235075*z7)/40320, H[1, 1, -1, 0, -1, 1, 0, 1] -> 
  (3440640*li7half + 71680*li4half*ln2^3 + 2304*ln2^7 - 284160*ln2*s6 + 
    284160*s7a - 871680*s7b - 2580480*li6half*sinf + 
    215040*li4half*ln2^2*sinf + 5376*ln2^6*sinf - 1236480*s6*sinf + 
    860160*li5half*sinf^2 + 215040*li4half*ln2*sinf^2 + 1792*ln2^5*sinf^2 - 
    2365440*li5half*z2 - 483840*li4half*ln2*z2 - 4032*ln2^5*z2 + 
    215040*li4half*sinf*z2 + 8960*ln2^4*sinf*z2 + 17920*ln2^3*sinf^2*z2 + 
    11648*ln2^3*z2^2 + 127680*ln2^2*sinf*z2^2 + 159936*ln2*sinf^2*z2^2 - 
    179232*ln2*z2^3 + 309696*sinf*z2^3 + 53760*li4half*z3 + 2240*ln2^4*z3 + 
    349440*ln2^2*z2*z3 + 302400*ln2*sinf*z2*z3 + 26880*sinf^2*z2*z3 + 
    366528*z2^2*z3 + 355200*ln2*z3^2 + 235200*sinf*z3^2 + 1119720*ln2^2*z5 - 
    851760*sinf^2*z5 + 5199000*z2*z5 - 8847435*z7)/107520, 
 H[1, 1, -1, 0, -1, 1, -1, 1] -> (17579520*li7half + 967680*li6half*ln2 - 
    161280*li5half*ln2^2 + 26880*li4half*ln2^3 + 320*ln2^7 - 2862720*ln2*s6 + 
    3830400*s7a - 5080320*s7b - 6773760*li6half*sinf - 
    322560*li5half*ln2*sinf - 6720*ln2^6*sinf - 3225600*s6*sinf + 
    645120*li5half*sinf^2 - 5376*ln2^5*sinf^2 - 483840*li5half*z2 - 
    80640*li4half*ln2*z2 - 6720*ln2^5*z2 - 6720*ln2^4*sinf*z2 - 
    67200*ln2^3*sinf^2*z2 + 506688*ln2^3*z2^2 + 790272*ln2^2*sinf*z2^2 + 
    185472*ln2*sinf^2*z2^2 + 1108224*ln2*z2^3 + 868608*sinf*z2^3 + 
    40320*li4half*z3 - 51240*ln2^4*z3 - 70560*ln2^3*sinf*z3 + 
    95760*ln2^2*z2*z3 + 211680*ln2*sinf*z2*z3 + 1491336*z2^2*z3 + 
    4186980*ln2*z3^2 + 1156680*sinf*z3^2 + 8554140*ln2^2*z5 - 
    156240*ln2*sinf*z5 - 614880*sinf^2*z5 + 15894900*z2*z5 - 41879565*z7)/
   161280, H[1, 1, -1, 0, -1, 0, 1, 1] -> 
  (-645120*li7half - 107520*li4half*ln2^3 - 4352*ln2^7 + 1416960*ln2*s6 - 
    1416960*s7a - 1255680*s7b + 645120*li6half*sinf - 
    322560*li4half*ln2^2*sinf - 12544*ln2^6*sinf + 161280*s6*sinf - 
    322560*li5half*sinf^2 - 322560*li4half*ln2*sinf^2 - 10752*ln2^5*sinf^2 - 
    645120*li5half*z2 + 483840*li4half*ln2*z2 + 49728*ln2^5*z2 + 
    967680*li4half*sinf*z2 + 107520*ln2^4*sinf*z2 + 53760*ln2^3*sinf^2*z2 - 
    172704*ln2^3*z2^2 - 235872*ln2^2*sinf*z2^2 + 6048*ln2*sinf^2*z2^2 - 
    590688*ln2*z2^3 - 295776*sinf*z2^3 - 1753920*li4half*z3 - 
    143640*ln2^4*z3 - 188160*ln2^3*sinf*z3 - 141120*ln2^2*sinf^2*z3 + 
    1214640*ln2^2*z2*z3 + 987840*ln2*sinf*z2*z3 + 120960*sinf^2*z2*z3 + 
    1664352*z2^2*z3 - 1771200*ln2*z3^2 - 646380*sinf*z3^2 - 156240*ln2^2*z5 + 
    83160*sinf^2*z5 + 4830120*z2*z5 - 10196145*z7)/161280, 
 H[1, 1, -1, 0, -1, 0, 0, 1] -> (-39840*ln2*s6 + 39840*s7a + 29760*s7b - 
    10080*s6*sinf + 26880*li5half*z2 - 224*ln2^5*z2 - 26880*li4half*sinf*z2 - 
    1120*ln2^4*sinf*z2 + 3416*ln2^3*z2^2 + 10248*ln2^2*sinf*z2^2 + 
    3528*ln2*sinf^2*z2^2 + 6768*ln2*z2^3 + 1864*sinf*z2^3 + 
    48720*li4half*z3 + 2030*ln2^4*z3 - 22260*ln2^2*z2*z3 - 
    20160*ln2*sinf*z2*z3 - 3360*sinf^2*z2*z3 - 34554*z2^2*z3 + 
    49800*ln2*z3^2 + 20475*sinf*z3^2 + 9765*ln2^2*z5 + 4305*sinf^2*z5 - 
    145590*z2*z5 + 284505*z7)/6720, H[1, 1, -1, 0, -1, 0, -1, 1] -> 
  (645120*li7half + 322560*li6half*ln2 + 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1216*ln2^7 + 80640*s7a - 403200*s7b + 
    322560*li5half*ln2*sinf + 161280*li4half*ln2^2*sinf + 4032*ln2^6*sinf - 
    322560*s6*sinf + 322560*li5half*sinf^2 + 161280*li4half*ln2*sinf^2 + 
    4032*ln2^5*sinf^2 - 725760*li5half*z2 - 362880*li4half*ln2*z2 - 
    13104*ln2^5*z2 - 13440*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 + 
    52080*ln2^3*z2^2 + 65520*ln2^2*sinf*z2^2 + 65520*ln2*sinf^2*z2^2 - 
    176112*ln2*z2^3 - 60048*sinf*z2^3 + 100800*li4half*z3 + 4200*ln2^4*z3 + 
    27720*ln2^2*z2*z3 + 105840*ln2*sinf*z2*z3 - 5040*sinf^2*z2*z3 + 
    86940*z2^2*z3 + 216090*ln2*z3^2 + 100800*sinf*z3^2 + 507780*ln2^2*z5 + 
    78120*ln2*sinf*z5 - 315000*sinf^2*z5 + 1782900*z2*z5 - 2531655*z7)/80640, 
 H[1, 1, -1, 0, -1, -1, 1, 1] -> (-16128000*li7half + 322560*li5half*ln2^2 - 
    322560*li4half*ln2^3 - 12928*ln2^7 + 4504320*ln2*s6 - 4504320*s7a + 
    2592000*s7b + 6773760*li6half*sinf - 645120*li4half*ln2^2*sinf - 
    17472*ln2^6*sinf + 2741760*s6*sinf - 645120*li5half*sinf^2 - 
    161280*li4half*ln2*sinf^2 - 1344*ln2^5*sinf^2 + 322560*li5half*z2 + 
    1290240*li4half*ln2*z2 + 131712*ln2^5*z2 + 645120*li4half*sinf*z2 + 
    168000*ln2^4*sinf*z2 + 107520*ln2^3*sinf^2*z2 - 658560*ln2^3*z2^2 - 
    657216*ln2^2*sinf*z2^2 - 80640*ln2*sinf^2*z2^2 - 1787616*ln2*z2^3 - 
    950976*sinf*z2^3 - 2016000*li4half*z3 - 295680*ln2^4*z3 - 
    423360*ln2^3*sinf*z3 - 211680*ln2^2*sinf^2*z3 + 1774080*ln2^2*z2*z3 + 
    846720*ln2*sinf*z2*z3 + 211680*sinf^2*z2*z3 + 730512*z2^2*z3 - 
    5630400*ln2*z3^2 - 1716120*sinf*z3^2 - 7890120*ln2^2*z5 + 
    176400*sinf^2*z5 - 6996600*z2*z5 + 21674655*z7)/322560, 
 H[1, 1, -1, 0, -1, -1, 0, 1] -> (-286080*ln2*s6 + 286080*s7a + 380160*s7b + 
    94080*s6*sinf + 53760*li5half*z2 - 215040*li4half*ln2*z2 - 
    9408*ln2^5*z2 - 241920*li4half*sinf*z2 - 10080*ln2^4*sinf*z2 + 
    57120*ln2^3*z2^2 + 57120*ln2^2*sinf*z2^2 - 3360*ln2*sinf^2*z2^2 + 
    144096*ln2*z2^3 + 70752*sinf*z2^3 + 416640*li4half*z3 + 17360*ln2^4*z3 - 
    356160*ln2^2*z2*z3 - 292320*ln2*sinf*z2*z3 - 36960*sinf^2*z2*z3 - 
    326520*z2^2*z3 + 357600*ln2*z3^2 + 93660*sinf*z3^2 - 91140*ln2^2*z5 + 
    74340*sinf^2*z5 - 1509420*z2*z5 + 3034125*z7)/53760, 
 H[1, 1, -1, 0, -1, -1, -1, 1] -> (-241920*li7half - 161280*li6half*ln2 + 
    80640*li5half*ln2^2 + 107520*li4half*ln2^3 + 3632*ln2^7 - 273600*ln2*s6 + 
    11520*s7a + 51840*s7b + 80640*li6half*sinf + 322560*li5half*ln2*sinf + 
    241920*li4half*ln2^2*sinf + 7504*ln2^6*sinf - 221760*s6*sinf + 
    161280*li5half*sinf^2 + 120960*li4half*ln2*sinf^2 + 3696*ln2^5*sinf^2 - 
    322560*li5half*z2 - 362880*li4half*ln2*z2 - 30240*ln2^5*z2 - 
    120960*li4half*sinf*z2 - 40320*ln2^4*sinf*z2 - 16800*ln2^3*sinf^2*z2 + 
    69216*ln2^3*z2^2 + 46368*ln2^2*sinf*z2^2 + 16128*ln2*sinf^2*z2^2 - 
    32688*ln2*z2^3 - 20736*sinf*z2^3 + 241920*li4half*z3 + 54180*ln2^4*z3 + 
    82320*ln2^3*sinf*z3 + 35280*ln2^2*sinf^2*z3 - 219240*ln2^2*z2*z3 - 
    70560*ln2*sinf*z2*z3 - 116208*z2^2*z3 + 258210*ln2*z3^2 + 
    91980*sinf*z3^2 + 273420*ln2^2*z5 + 117180*ln2*sinf*z5 - 
    161280*sinf^2*z5 - 50850*z2*z5 + 919935*z7)/80640, 
 H[1, 1, -1, -1, 1, 1, 1, 1] -> (322560*li7half + 53760*li4half*ln2^3 + 
    1216*ln2^7 - 230400*ln2*s6 + 230400*s7a + 311040*s7b - 
    322560*li6half*sinf + 161280*li4half*ln2^2*sinf + 4032*ln2^6*sinf + 
    80640*s6*sinf + 161280*li5half*sinf^2 + 161280*li4half*ln2*sinf^2 + 
    4032*ln2^5*sinf^2 - 161280*li5half*z2 - 322560*li4half*ln2*z2 - 
    16128*ln2^5*z2 - 161280*li4half*sinf*z2 - 33600*ln2^4*sinf*z2 - 
    26880*ln2^3*sinf^2*z2 + 41664*ln2^3*z2^2 + 4032*ln2^2*sinf*z2^2 - 
    8064*ln2*sinf^2*z2^2 + 108576*ln2*z2^3 + 46080*sinf*z2^3 + 
    282240*li4half*z3 + 38640*ln2^4*z3 + 107520*ln2^3*sinf*z3 + 
    80640*ln2^2*sinf^2*z3 - 312480*ln2^2*z2*z3 - 322560*ln2*sinf*z2*z3 - 
    80640*sinf^2*z2*z3 - 356544*z2^2*z3 + 288000*ln2*z3^2 + 
    252000*sinf*z3^2 - 78120*ln2^2*z5 + 5040*sinf^2*z5 - 921240*z2*z5 + 
    2439855*z7)/322560, H[1, 1, -1, -1, 1, 1, 0, 1] -> 
  (5483520*li7half + 107520*li4half*ln2^3 + 3392*ln2^7 - 1704960*ln2*s6 + 
    1704960*s7a - 1762560*s7b - 2580480*li6half*sinf + 
    322560*li4half*ln2^2*sinf + 9856*ln2^6*sinf - 1774080*s6*sinf + 
    645120*li5half*sinf^2 + 322560*li4half*ln2*sinf^2 + 8064*ln2^5*sinf^2 - 
    645120*li5half*z2 - 645120*li4half*ln2*z2 - 49728*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 80640*ln2^4*sinf*z2 - 40320*ln2^3*sinf^2*z2 + 
    404544*ln2^3*z2^2 + 475776*ln2^2*sinf*z2^2 + 141120*ln2*sinf^2*z2^2 + 
    330336*ln2*z2^3 + 387072*sinf*z2^3 + 564480*li4half*z3 + 28560*ln2^4*z3 + 
    13440*ln2^3*sinf*z3 + 10080*ln2^2*sinf^2*z3 - 221760*ln2^2*z2*z3 + 
    40320*ln2*sinf*z2*z3 + 10080*sinf^2*z2*z3 + 169056*z2^2*z3 + 
    2171520*ln2*z3^2 + 635040*sinf*z3^2 + 3359160*ln2^2*z5 - 
    698040*sinf^2*z5 + 6130080*z2*z5 - 13548645*z7)/322560, 
 H[1, 1, -1, -1, 1, 1, -1, 1] -> (480*ln2^7 + 1120*ln2^6*sinf + 
    672*ln2^5*sinf^2 - 4032*ln2^5*z2 - 3360*ln2^4*sinf*z2 + 
    12768*ln2^3*z2^2 + 18144*ln2^2*sinf*z2^2 + 4032*ln2*sinf^2*z2^2 + 
    864*ln2*z2^3 + 4896*sinf*z2^3 + 4200*ln2^4*z3 - 6720*ln2^3*sinf*z3 - 
    5040*ln2^2*sinf^2*z3 - 25200*ln2^2*z2*z3 + 10080*ln2*sinf*z2*z3 - 
    19152*z2^2*z3 + 60480*ln2*z3^2 - 1260*sinf*z3^2 - 40320*ln2^2*z5 - 
    80640*ln2*sinf*z5 - 3780*sinf^2*z5 + 44100*z2*z5 - 37485*z7)/161280, 
 H[1, 1, -1, -1, 1, 0, 1, 1] -> (1612800*li7half - 215040*li4half*ln2^3 - 
    9280*ln2^7 + 817920*ln2*s6 - 817920*s7a - 1140480*s7b + 
    322560*li6half*sinf - 645120*li4half*ln2^2*sinf - 26432*ln2^6*sinf - 
    80640*s6*sinf - 645120*li5half*sinf^2 - 645120*li4half*ln2*sinf^2 - 
    21504*ln2^5*sinf^2 + 645120*li5half*z2 + 1290240*li4half*ln2*z2 + 
    92736*ln2^5*z2 + 645120*li4half*sinf*z2 + 141120*ln2^4*sinf*z2 + 
    80640*ln2^3*sinf^2*z2 - 201600*ln2^3*z2^2 - 68544*ln2^2*sinf*z2^2 - 
    12096*ln2*sinf^2*z2^2 - 13536*ln2*z2^3 - 102528*sinf*z2^3 - 
    1128960*li4half*z3 - 162960*ln2^4*z3 - 309120*ln2^3*sinf*z3 - 
    231840*ln2^2*sinf^2*z3 + 1028160*ln2^2*z2*z3 + 887040*ln2*sinf*z2*z3 + 
    231840*sinf^2*z2*z3 + 1556640*z2^2*z3 - 1103040*ln2*z3^2 - 
    756000*sinf*z3^2 + 312480*ln2^2*z5 + 214200*sinf^2*z5 + 2999880*z2*z5 - 
    11378565*z7)/322560, H[1, 1, -1, -1, 1, 0, 0, 1] -> 
  (-4515840*li7half - 107520*li4half*ln2^3 - 3584*ln2^7 + 495360*ln2*s6 - 
    495360*s7a + 1762560*s7b + 2580480*li6half*sinf - 
    322560*li4half*ln2^2*sinf - 9856*ln2^6*sinf + 1774080*s6*sinf - 
    645120*li5half*sinf^2 - 322560*li4half*ln2*sinf^2 - 8064*ln2^5*sinf^2 + 
    1935360*li5half*z2 + 645120*li4half*ln2*z2 + 18816*ln2^5*z2 - 
    322560*li4half*sinf*z2 + 13440*ln2^4*sinf*z2 + 26880*ln2^3*sinf^2*z2 - 
    147840*ln2^3*z2^2 - 193536*ln2^2*sinf*z2^2 - 120960*ln2*sinf^2*z2^2 + 
    27360*ln2*z2^3 - 282240*sinf*z2^3 + 80640*li4half*z3 - 26880*ln2^4*z3 - 
    80640*ln2^3*sinf*z3 - 60480*ln2^2*sinf^2*z3 - 231840*ln2^2*z2*z3 - 
    665280*ln2*sinf*z2*z3 - 131040*sinf^2*z2*z3 - 546048*z2^2*z3 - 
    861120*ln2*z3^2 - 234360*sinf*z3^2 - 2187360*ln2^2*z5 + 
    947520*sinf^2*z5 - 8236800*z2*z5 + 15577875*z7)/322560, 
 H[1, 1, -1, -1, 1, 0, -1, 1] -> (3870720*li7half + 322560*li6half*ln2 - 
    483840*li5half*ln2^2 - 215040*li4half*ln2^3 - 5248*ln2^7 - 
    668160*ln2*s6 + 587520*s7a - 702720*s7b - 967680*li5half*ln2*sinf - 
    645120*li4half*ln2^2*sinf - 18816*ln2^6*sinf - 1128960*li5half*sinf^2 - 
    645120*li4half*ln2*sinf^2 - 17472*ln2^5*sinf^2 + 1612800*li5half*z2 + 
    1290240*li4half*ln2*z2 + 55104*ln2^5*z2 + 645120*li4half*sinf*z2 + 
    87360*ln2^4*sinf*z2 + 53760*ln2^3*sinf^2*z2 - 119616*ln2^3*z2^2 - 
    306432*ln2^2*sinf*z2^2 - 193536*ln2*sinf^2*z2^2 + 378720*ln2*z2^3 - 
    251712*sinf*z2^3 - 1128960*li4half*z3 - 72240*ln2^4*z3 - 
    67200*ln2^3*sinf*z3 - 50400*ln2^2*sinf^2*z3 + 352800*ln2^2*z2*z3 + 
    100800*ln2*sinf*z2*z3 + 10080*sinf^2*z2*z3 + 683856*z2^2*z3 + 
    157320*ln2*z3^2 - 25200*sinf*z3^2 + 2187360*ln2^2*z5 + 
    1874880*ln2*sinf*z5 + 1113840*sinf^2*z5 - 19800*z2*z5 - 6324615*z7)/
   322560, H[1, 1, -1, -1, 1, -1, 1, 1] -> 
  (1451520*li7half + 192*ln2^7 - 207360*ln2*s6 + 207360*s7a - 1244160*s7b - 
    967680*li6half*sinf - 224*ln2^6*sinf - 967680*s6*sinf + 
    241920*li5half*sinf^2 - 1344*ln2^5*sinf^2 - 241920*li5half*z2 + 
    4032*ln2^5*z2 + 16800*ln2^4*sinf*z2 + 20160*ln2^3*sinf^2*z2 + 
    85344*ln2^3*z2^2 + 203616*ln2^2*sinf*z2^2 + 96768*ln2*sinf^2*z2^2 - 
    90144*ln2*z2^3 + 152160*sinf*z2^3 - 48720*ln2^4*z3 - 
    147840*ln2^3*sinf*z3 - 110880*ln2^2*sinf^2*z3 + 413280*ln2^2*z2*z3 + 
    463680*ln2*sinf*z2*z3 + 120960*sinf^2*z2*z3 + 783072*z2^2*z3 + 
    299520*ln2*z3^2 - 57960*sinf*z3^2 + 1446480*ln2^2*z5 - 472500*sinf^2*z5 + 
    4132260*z2*z5 - 9617985*z7)/161280, H[1, 1, -1, -1, 1, -1, 0, 1] -> 
  (-1935360*li7half - 53760*li4half*ln2^3 - 1856*ln2^7 + 311040*ln2*s6 - 
    311040*s7a + 1032960*s7b + 967680*li6half*sinf - 
    161280*li4half*ln2^2*sinf - 5376*ln2^6*sinf + 779520*s6*sinf - 
    268800*li5half*sinf^2 - 161280*li4half*ln2*sinf^2 - 4480*ln2^5*sinf^2 + 
    591360*li5half*z2 + 322560*li4half*ln2*z2 + 21952*ln2^5*z2 - 
    161280*li4half*sinf*z2 + 26880*ln2^4*sinf*z2 + 22400*ln2^3*sinf^2*z2 - 
    130368*ln2^3*z2^2 - 91392*ln2^2*sinf*z2^2 - 47040*ln2*sinf^2*z2^2 + 
    23328*ln2*z2^3 - 73536*sinf*z2^3 + 40320*li4half*z3 - 11760*ln2^4*z3 - 
    35840*ln2^3*sinf*z3 - 26880*ln2^2*sinf^2*z3 - 124320*ln2^2*z2*z3 - 
    389760*ln2*sinf*z2*z3 - 73920*sinf^2*z2*z3 - 392064*z2^2*z3 - 
    496320*ln2*z3^2 - 58800*sinf*z3^2 - 1302000*ln2^2*z5 + 414960*sinf^2*z5 - 
    4084320*z2*z5 + 8169555*z7)/107520, H[1, 1, -1, -1, 1, -1, -1, 1] -> 
  (-3870720*li7half - 161280*li4half*ln2^3 - 6912*ln2^7 + 898560*ln2*s6 - 
    898560*s7a + 1278720*s7b + 2903040*li6half*sinf - 
    483840*li4half*ln2^2*sinf - 18368*ln2^6*sinf + 1209600*s6*sinf - 
    967680*li5half*sinf^2 - 483840*li4half*ln2*sinf^2 - 13440*ln2^5*sinf^2 + 
    967680*li5half*z2 + 967680*li4half*ln2*z2 + 64512*ln2^5*z2 + 
    483840*li4half*sinf*z2 + 87360*ln2^4*sinf*z2 + 40320*ln2^3*sinf^2*z2 - 
    372288*ln2^3*z2^2 - 528192*ln2^2*sinf*z2^2 - 193536*ln2*sinf^2*z2^2 - 
    326112*ln2*z2^3 - 599040*sinf*z2^3 - 846720*li4half*z3 - 43680*ln2^4*z3 + 
    13440*ln2^3*sinf*z3 + 10080*ln2^2*sinf^2*z3 + 262080*ln2^2*z2*z3 - 
    20160*ln2*sinf*z2*z3 - 27936*z2^2*z3 - 1566720*ln2*z3^2 - 
    451080*sinf*z3^2 - 1464120*ln2^2*z5 + 1451520*ln2*sinf*z5 + 
    967680*sinf^2*z5 - 5517720*z2*z5 + 11130075*z7)/322560, 
 H[1, 1, -1, -1, 0, 1, 1, 1] -> (483840*li7half - 96*ln2^7 + 230400*ln2*s6 - 
    230400*s7a + 414720*s7b - 322560*li6half*sinf - 448*ln2^6*sinf + 
    40320*s6*sinf + 80640*li5half*sinf^2 - 672*ln2^5*sinf^2 - 
    80640*li5half*z2 + 2688*ln2^5*z2 + 6720*ln2^4*sinf*z2 + 
    6720*ln2^3*sinf^2*z2 - 61152*ln2^3*z2^2 - 76608*ln2^2*sinf*z2^2 + 
    10080*ln2*sinf^2*z2^2 + 86976*ln2*z2^3 + 52128*sinf*z2^3 + 
    2520*ln2^4*z3 + 6720*ln2^3*sinf*z3 + 5040*ln2^2*sinf^2*z3 - 
    15120*ln2^2*z2*z3 - 10080*ln2*sinf*z2*z3 - 184752*z2^2*z3 - 
    267840*ln2*z3^2 - 3780*sinf*z3^2 - 624960*ln2^2*z5 - 63000*sinf^2*z5 - 
    1175400*z2*z5 + 1993455*z7)/161280, H[1, 1, -1, -1, 0, 1, 0, 1] -> 
  (-3870720*li7half + 768*ln2^7 + 956160*ln2*s6 - 956160*s7a + 11520*s7b + 
    2580480*li6half*sinf + 3584*ln2^6*sinf + 1209600*s6*sinf - 
    645120*li5half*sinf^2 + 5376*ln2^5*sinf^2 + 1612800*li5half*z2 - 
    29568*ln2^5*z2 - 53760*ln2^4*sinf*z2 - 53760*ln2^3*sinf^2*z2 + 
    4032*ln2^3*z2^2 - 298368*ln2^2*sinf*z2^2 - 205632*ln2*sinf^2*z2^2 - 
    2592*ln2*z2^3 - 274368*sinf*z2^3 + 60480*ln2^4*z3 + 
    161280*ln2^3*sinf*z3 + 120960*ln2^2*sinf^2*z3 - 211680*ln2^2*z2*z3 + 
    60480*ln2*sinf*z2*z3 + 50400*sinf^2*z2*z3 + 138816*z2^2*z3 - 
    711360*ln2*z3^2 - 627480*sinf*z3^2 - 937440*ln2^2*z5 + 519120*sinf^2*z5 - 
    1167840*z2*z5 + 1849185*z7)/322560, H[1, 1, -1, -1, 0, 1, -1, 1] -> 
  (-23546880*li7half - 1612800*li6half*ln2 + 645120*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 6016*ln2^7 + 3628800*ln2*s6 - 4757760*s7a + 
    6209280*s7b + 6773760*li6half*sinf + 1290240*li5half*ln2*sinf + 
    645120*li4half*ln2^2*sinf + 25536*ln2^6*sinf + 3225600*s6*sinf + 
    483840*li5half*sinf^2 + 645120*li4half*ln2*sinf^2 + 22848*ln2^5*sinf^2 - 
    1128960*li5half*z2 - 1290240*li4half*ln2*z2 - 48384*ln2^5*z2 - 
    645120*li4half*sinf*z2 - 60480*ln2^4*sinf*z2 - 454272*ln2^3*z2^2 - 
    592704*ln2^2*sinf*z2^2 - 20160*ln2*sinf^2*z2^2 - 1571616*ln2*z2^3 - 
    608832*sinf*z2^3 + 1128960*li4half*z3 + 112560*ln2^4*z3 + 
    174720*ln2^3*sinf*z3 + 131040*ln2^2*sinf^2*z3 - 191520*ln2^2*z2*z3 - 
    201600*ln2*sinf*z2*z3 - 2186352*z2^2*z3 - 5034960*ln2*z3^2 - 
    1197000*sinf*z3^2 - 11483640*ln2^2*z5 - 1718640*ln2*sinf*z5 - 
    498960*sinf^2*z5 - 17224200*z2*z5 + 52031385*z7)/322560, 
 H[1, 1, -1, -1, 0, 0, 1, 1] -> (322560*li7half + 13440*li4half*ln2^3 + 
    496*ln2^7 - 270720*ln2*s6 + 270720*s7a - 11520*s7b - 
    241920*li6half*sinf + 40320*li4half*ln2^2*sinf + 1344*ln2^6*sinf - 
    161280*s6*sinf + 80640*li5half*sinf^2 + 40320*li4half*ln2*sinf^2 + 
    1008*ln2^5*sinf^2 + 120960*li5half*z2 - 80640*li4half*ln2*z2 - 
    6384*ln2^5*z2 - 120960*li4half*sinf*z2 - 10080*ln2^4*sinf*z2 - 
    3360*ln2^3*sinf^2*z2 + 35616*ln2^3*z2^2 + 44352*ln2^2*sinf*z2^2 + 
    12096*ln2*sinf^2*z2^2 + 90144*ln2*z2^3 + 48480*sinf*z2^3 + 
    231840*li4half*z3 + 14700*ln2^4*z3 + 13440*ln2^3*sinf*z3 + 
    10080*ln2^2*sinf^2*z3 - 105840*ln2^2*z2*z3 - 55440*ln2*sinf*z2*z3 - 
    15120*sinf^2*z2*z3 - 148896*z2^2*z3 + 308160*ln2*z3^2 + 
    117810*sinf*z3^2 + 273420*ln2^2*z5 - 49140*sinf^2*z5 - 63180*z2*z5 + 
    31365*z7)/40320, H[1, 1, -1, -1, 0, 0, 0, 1] -> 
  (94080*ln2*s6 - 94080*s7a + 26880*s6*sinf - 107520*li5half*z2 + 
    896*ln2^5*z2 + 53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 - 
    17248*ln2^3*z2^2 - 28224*ln2^2*sinf*z2^2 - 4704*ln2*sinf^2*z2^2 - 
    23520*ln2*z2^3 - 7488*sinf*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 
    47040*ln2^2*z2*z3 + 40320*ln2*sinf*z2*z3 + 6720*sinf^2*z2*z3 + 
    37968*z2^2*z3 - 117600*ln2*z3^2 - 30240*sinf*z3^2 - 91140*ln2^2*z5 - 
    12180*sinf^2*z5 + 137760*z2*z5 - 147105*z7)/26880, 
 H[1, 1, -1, -1, 0, 0, -1, 1] -> (-1935360*li7half + 645120*li6half*ln2 + 
    322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 5888*ln2^7 + 
    1025280*ln2*s6 + 264960*s7a - 541440*s7b + 2580480*li6half*sinf + 
    645120*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 15232*ln2^6*sinf + 
    1290240*s6*sinf - 322560*li5half*sinf^2 - 322560*li4half*ln2*sinf^2 - 
    10752*ln2^5*sinf^2 + 806400*li5half*z2 + 645120*li4half*ln2*z2 + 
    52416*ln2^5*z2 + 80640*ln2^4*sinf*z2 + 53760*ln2^3*sinf^2*z2 - 
    232512*ln2^3*z2^2 - 217728*ln2^2*sinf*z2^2 - 20160*ln2*sinf^2*z2^2 - 
    517536*ln2*z2^3 - 312960*sinf*z2^3 - 161280*li4half*z3 - 47040*ln2^4*z3 - 
    107520*ln2^3*sinf*z3 - 80640*ln2^2*sinf^2*z3 + 282240*ln2^2*z2*z3 + 
    161280*ln2*sinf*z2*z3 + 10080*sinf^2*z2*z3 + 177840*z2^2*z3 - 
    140040*ln2*z3^2 - 501480*sinf*z3^2 + 390600*ln2^2*z5 - 
    781200*ln2*sinf*z5 + 315000*sinf^2*z5 + 1071360*z2*z5 - 1051515*z7)/
   322560, H[1, 1, -1, -1, 0, -1, 1, 1] -> 
  (19998720*li7half - 161280*li5half*ln2^2 + 268800*li4half*ln2^3 + 
    8576*ln2^7 - 4988160*ln2*s6 + 4988160*s7a - 3075840*s7b - 
    6773760*li6half*sinf + 322560*li4half*ln2^2*sinf + 4032*ln2^6*sinf - 
    2741760*s6*sinf - 161280*li4half*ln2*sinf^2 - 6720*ln2^5*sinf^2 + 
    161280*li5half*z2 - 645120*li4half*ln2*z2 - 86016*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 114240*ln2^4*sinf*z2 - 80640*ln2^3*sinf^2*z2 + 
    860160*ln2^3*z2^2 + 826560*ln2^2*sinf*z2^2 - 4032*ln2*sinf^2*z2^2 + 
    2270880*ln2*z2^3 + 821952*sinf*z2^3 + 1411200*li4half*z3 + 
    124320*ln2^4*z3 + 174720*ln2^3*sinf*z3 + 131040*ln2^2*sinf^2*z3 - 
    1441440*ln2^2*z2*z3 - 745920*ln2*sinf*z2*z3 - 211680*sinf^2*z2*z3 - 
    486576*z2^2*z3 + 5912640*ln2*z3^2 + 1781640*sinf*z3^2 + 
    7733880*ln2^2*z5 + 438480*sinf^2*z5 + 8926920*z2*z5 - 28942965*z7)/
   322560, H[1, 1, -1, -1, 0, -1, 0, 1] -> 
  (-967680*li7half + 192*ln2^7 + 757440*ln2*s6 - 757440*s7a - 92160*s7b + 
    645120*li6half*sinf + 896*ln2^6*sinf + 383040*s6*sinf - 
    161280*li5half*sinf^2 + 1344*ln2^5*sinf^2 + 443520*li5half*z2 + 
    362880*li4half*ln2*z2 + 7392*ln2^5*z2 + 362880*li4half*sinf*z2 + 
    1680*ln2^4*sinf*z2 - 13440*ln2^3*sinf^2*z2 - 97776*ln2^3*z2^2 - 
    184464*ln2^2*sinf*z2^2 - 55440*ln2*sinf^2*z2^2 - 82368*ln2*z2^3 - 
    148704*sinf*z2^3 - 635040*li4half*z3 - 6300*ln2^4*z3 + 
    53760*ln2^3*sinf*z3 + 40320*ln2^2*sinf^2*z3 + 211680*ln2^2*z2*z3 + 
    267120*ln2*sinf*z2*z3 + 57960*sinf^2*z2*z3 + 346284*z2^2*z3 - 
    785520*ln2*z3^2 - 329490*sinf*z3^2 - 644490*ln2^2*z5 + 45990*sinf^2*z5 + 
    96210*z2*z5 - 897885*z7)/80640, H[1, 1, -1, -1, 0, -1, -1, 1] -> 
  (322560*li7half + 161280*li6half*ln2 - 134400*li5half*ln2^2 - 
    80640*li4half*ln2^3 - 2080*ln2^7 + 218880*ln2*s6 - 57600*s7a - 
    138240*s7b - 322560*li5half*ln2*sinf - 161280*li4half*ln2^2*sinf - 
    4032*ln2^6*sinf + 201600*s6*sinf - 161280*li5half*sinf^2 - 
    80640*li4half*ln2*sinf^2 - 2016*ln2^5*sinf^2 + 322560*li5half*z2 + 
    241920*li4half*ln2*z2 + 14336*ln2^5*z2 + 80640*li4half*sinf*z2 + 
    16800*ln2^4*sinf*z2 + 6720*ln2^3*sinf^2*z2 - 67200*ln2^3*z2^2 - 
    86688*ln2^2*sinf*z2^2 - 32256*ln2*sinf^2*z2^2 + 35424*ln2*z2^3 + 
    10752*sinf*z2^3 - 161280*li4half*z3 - 5880*ln2^4*z3 + 
    2240*ln2^3*sinf*z3 + 1680*ln2^2*sinf^2*z3 + 35280*ln2^2*z2*z3 - 
    3360*ln2*sinf*z2*z3 + 95352*z2^2*z3 - 55200*ln2*z3^2 - 74760*sinf*z3^2 + 
    130200*ln2^2*z5 + 78120*ln2*sinf*z5 + 161280*sinf^2*z5 + 208260*z2*z5 - 
    1294065*z7)/53760, H[1, 1, -1, -1, -1, 1, 1, 1] -> 
  (-241920*li7half + 168*ln2^7 + 34560*ln2*s6 - 34560*s7a + 207360*s7b + 
    120960*li6half*sinf + 448*ln2^6*sinf + 120960*s6*sinf - 
    20160*li5half*sinf^2 + 336*ln2^5*sinf^2 + 20160*li5half*z2 - 
    2184*ln2^5*z2 - 3360*ln2^4*sinf*z2 - 1680*ln2^3*sinf^2*z2 - 
    14784*ln2^3*z2^2 - 24192*ln2^2*sinf*z2^2 - 8064*ln2*sinf^2*z2^2 + 
    6480*ln2*z2^3 - 19440*sinf*z2^3 + 11130*ln2^4*z3 + 18480*ln2^3*sinf*z3 + 
    8820*ln2^2*sinf^2*z3 - 66780*ln2^2*z2*z3 - 57960*ln2*sinf*z2*z3 - 
    10080*sinf^2*z2*z3 - 137988*z2^2*z3 - 48240*ln2*z3^2 + 7245*sinf*z3^2 - 
    234360*ln2^2*z5 + 39690*sinf^2*z5 - 656370*z2*z5 + 1609245*z7)/40320, 
 H[1, 1, -1, -1, -1, 1, 0, 1] -> (-20160*li7half + 3360*li4half*ln2^3 + 
    144*ln2^7 + 7200*ln2*s6 - 7200*s7a - 17280*s7b - 20160*li6half*sinf + 
    10080*li4half*ln2^2*sinf + 392*ln2^6*sinf - 20160*s6*sinf + 
    13440*li5half*sinf^2 + 10080*li4half*ln2*sinf^2 + 308*ln2^5*sinf^2 - 
    26880*li5half*z2 - 20160*li4half*ln2*z2 - 1036*ln2^5*z2 - 
    3360*li4half*sinf*z2 - 1400*ln2^4*sinf*z2 - 1120*ln2^3*sinf^2*z2 + 
    896*ln2^3*z2^2 + 1176*ln2^2*sinf*z2^2 + 1344*ln2*sinf^2*z2^2 - 
    6984*ln2*z2^3 + 4248*sinf*z2^3 + 10920*li4half*z3 + 1820*ln2^4*z3 + 
    3640*ln2^3*sinf*z3 + 2730*ln2^2*sinf^2*z3 + 1890*ln2^2*z2*z3 + 
    6720*ln2*sinf*z2*z3 + 1470*sinf^2*z2*z3 + 6438*z2^2*z3 + 1920*ln2*z3^2 + 
    105*sinf*z3^2 + 9765*ln2^2*z5 - 16380*sinf^2*z5 + 93285*z2*z5 - 
    124260*z7)/6720, H[1, 1, -1, -1, -1, 1, -1, 1] -> 
  (2903040*li7half + 161280*li4half*ln2^3 + 5184*ln2^7 - 725760*ln2*s6 + 
    725760*s7a - 1048320*s7b - 1935360*li6half*sinf + 
    483840*li4half*ln2^2*sinf + 15232*ln2^6*sinf - 806400*s6*sinf + 
    645120*li5half*sinf^2 + 483840*li4half*ln2*sinf^2 + 13440*ln2^5*sinf^2 - 
    645120*li5half*z2 - 967680*li4half*ln2*z2 - 55104*ln2^5*z2 - 
    483840*li4half*sinf*z2 - 94080*ln2^4*sinf*z2 - 67200*ln2^3*sinf^2*z2 + 
    319872*ln2^3*z2^2 + 314496*ln2^2*sinf*z2^2 + 64512*ln2*sinf^2*z2^2 + 
    363360*ln2*z2^3 + 463872*sinf*z2^3 + 846720*li4half*z3 + 52080*ln2^4*z3 + 
    134400*ln2^3*sinf*z3 + 141120*ln2^2*sinf^2*z3 - 393120*ln2^2*z2*z3 - 
    120960*ln2*sinf*z2*z3 + 4032*z2^2*z3 + 1310400*ln2*z3^2 + 
    297360*sinf*z3^2 + 1234800*ln2^2*z5 - 967680*ln2*sinf*z5 - 
    645120*sinf^2*z5 + 4263840*z2*z5 - 8808345*z7)/322560, 
 H[1, 1, -1, -1, -1, 0, 1, 1] -> (-403200*li7half - 6720*li4half*ln2^3 - 
    200*ln2^7 + 128160*ln2*s6 - 128160*s7a - 57600*s7b + 
    161280*li6half*sinf - 20160*li4half*ln2^2*sinf - 616*ln2^6*sinf + 
    40320*s6*sinf - 20160*li5half*sinf^2 - 20160*li4half*ln2*sinf^2 - 
    672*ln2^5*sinf^2 - 20160*li5half*z2 + 40320*li4half*ln2*z2 + 
    3864*ln2^5*z2 + 60480*li4half*sinf*z2 + 9240*ln2^4*sinf*z2 + 
    6720*ln2^3*sinf^2*z2 - 20160*ln2^3*z2^2 - 26712*ln2^2*sinf*z2^2 + 
    1512*ln2*sinf^2*z2^2 - 82800*ln2*z2^3 - 36648*sinf*z2^3 - 
    115920*li4half*z3 - 12390*ln2^4*z3 - 20160*ln2^3*sinf*z3 - 
    15120*ln2^2*sinf^2*z3 + 123480*ln2^2*z2*z3 + 88200*ln2*sinf*z2*z3 + 
    8820*sinf^2*z2*z3 + 111312*z2^2*z3 - 185400*ln2*z3^2 - 60165*sinf*z3^2 - 
    68355*ln2^2*z5 + 2520*sinf^2*z5 + 243855*z2*z5 - 278190*z7)/40320, 
 H[1, 1, -1, -1, -1, 0, 0, 1] -> (322560*li7half - 64*ln2^7 - 120960*ln2*s6 + 
    120960*s7a - 161280*li6half*sinf - 224*ln2^6*sinf - 80640*s6*sinf + 
    26880*li5half*sinf^2 - 224*ln2^5*sinf^2 - 53760*li5half*z2 + 
    1792*ln2^5*z2 - 26880*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 + 
    2240*ln2^3*sinf^2*z2 + 7840*ln2^3*z2^2 + 29568*ln2^2*sinf*z2^2 + 
    10080*ln2*sinf^2*z2^2 + 20448*ln2*z2^3 + 20544*sinf*z2^3 + 
    53760*li4half*z3 - 1120*ln2^4*z3 - 8960*ln2^3*sinf*z3 - 
    6720*ln2^2*sinf^2*z3 - 13440*ln2^2*z2*z3 - 26880*ln2*sinf*z2*z3 - 
    6720*sinf^2*z2*z3 - 42336*z2^2*z3 + 124320*ln2*z3^2 + 60480*sinf*z3^2 + 
    117180*ln2^2*z5 - 13860*sinf^2*z5 - 7560*z2*z5 - 38745*z7)/26880, 
 H[1, 1, -1, -1, -1, 0, -1, 1] -> (-2419200*li7half - 161280*li6half*ln2 + 
    241920*li5half*ln2^2 + 26880*li4half*ln2^3 - 640*ln2^7 + 213120*ln2*s6 - 
    172800*s7a + 149760*s7b + 483840*li6half*sinf + 483840*li5half*ln2*sinf + 
    80640*li4half*ln2^2*sinf - 322560*s6*sinf + 322560*li5half*sinf^2 + 
    80640*li4half*ln2*sinf^2 + 672*ln2^5*sinf^2 - 645120*li5half*z2 - 
    161280*li4half*ln2*z2 + 9408*ln2^5*z2 + 20160*ln2^4*sinf*z2 + 
    13440*ln2^3*sinf^2*z2 - 47712*ln2^3*z2^2 + 72576*ln2^2*sinf*z2^2 + 
    96768*ln2*sinf^2*z2^2 - 516384*ln2*z2^3 - 165888*sinf*z2^3 + 
    40320*li4half*z3 - 38640*ln2^4*z3 - 107520*ln2^3*sinf*z3 - 
    80640*ln2^2*sinf^2*z3 + 312480*ln2^2*z2*z3 + 241920*ln2*sinf*z2*z3 - 
    29952*z2^2*z3 - 412560*ln2*z3^2 + 80640*sinf*z3^2 - 234360*ln2^2*z5 + 
    156240*ln2*sinf*z5 - 322560*sinf^2*z5 - 46800*z2*z5 + 3381075*z7)/161280, 
 H[1, 1, -1, -1, -1, -1, 1, 1] -> (645120*li7half - 53760*li4half*ln2^3 - 
    3328*ln2^7 - 80640*ln2*s6 + 80640*s7a - 80640*s7b - 
    161280*li4half*ln2^2*sinf - 8960*ln2^6*sinf - 161280*li5half*sinf^2 - 
    161280*li4half*ln2*sinf^2 - 6720*ln2^5*sinf^2 + 161280*li5half*z2 + 
    322560*li4half*ln2*z2 + 36288*ln2^5*z2 + 161280*li4half*sinf*z2 + 
    53760*ln2^4*sinf*z2 + 26880*ln2^3*sinf^2*z2 + 24192*ln2^2*sinf*z2^2 + 
    41184*ln2*z2^3 - 64512*sinf*z2^3 - 282240*li4half*z3 - 100800*ln2^4*z3 - 
    147840*ln2^3*sinf*z3 - 70560*ln2^2*sinf^2*z3 + 362880*ln2^2*z2*z3 + 
    141120*ln2*sinf*z2*z3 + 110880*z2^2*z3 - 181440*ln2*z3^2 + 
    2520*sinf*z3^2 - 166320*ln2^2*z5 + 161280*sinf^2*z5 + 403200*z2*z5 - 
    1472625*z7)/322560, H[1, 1, -1, -1, -1, -1, 0, 1] -> 
  (161280*li7half - 32*ln2^7 - 13440*ln2*s6 + 13440*s7a + 26880*s6*sinf - 
    13440*li5half*sinf^2 + 112*ln2^5*sinf^2 + 40320*li5half*z2 - 
    1680*ln2^5*z2 - 3360*ln2^4*sinf*z2 - 2240*ln2^3*sinf^2*z2 + 
    10976*ln2^3*z2^2 - 1344*ln2^2*sinf*z2^2 - 5376*ln2*sinf^2*z2^2 + 
    37440*ln2*z2^3 + 4608*sinf*z2^3 + 3360*ln2^4*z3 + 8960*ln2^3*sinf*z3 + 
    6720*ln2^2*sinf^2*z3 - 53760*ln2^2*z2*z3 - 26880*ln2*sinf*z2*z3 - 
    3360*z2^2*z3 + 43680*ln2*z3^2 - 6720*sinf*z3^2 + 13020*ln2^2*z5 + 
    13440*sinf^2*z5 - 66780*z2*z5 - 92925*z7)/26880, 
 H[1, 1, -1, -1, -1, -1, -1, 1] -> 
  (-80640*li7half + 96*ln2^7 + 13440*ln2*s6 - 13440*s7a + 
    26880*li6half*sinf + 224*ln2^6*sinf + 112*ln2^5*sinf^2 - 1008*ln2^5*z2 - 
    1120*ln2^4*sinf*z2 - 5600*ln2^3*z2^2 - 5376*ln2^2*sinf*z2^2 - 
    16128*ln2*z2^3 - 6144*sinf*z2^3 + 4480*ln2^4*z3 + 4480*ln2^3*sinf*z3 - 
    6720*ln2^2*z2*z3 - 672*z2^2*z3 - 3360*ln2*z3^2 + 27300*ln2^2*z5 + 
    26880*ln2*sinf*z5 - 13860*z2*z5 + 93555*z7)/26880, 
 H[1, 0, 1, 1, 1, 1, 1, 1] -> (2*(4*sinf*z2^3 - 105*z7))/35, 
 H[1, 0, 1, 1, 1, 1, 0, 1] -> (-4*sinf*z2^3 - 12*z2^2*z3 + 5*sinf*z3^2 - 
    10*z2*z5 + 100*z7)/10, H[1, 0, 1, 1, 1, 1, -1, 1] -> 
  (591360*li7half + 268800*li6half*ln2 + 26880*li5half*ln2^2 + 32*ln2^7 - 
    82560*ln2*s6 + 82560*s7a - 38400*s7b + 161280*li6half*sinf + 
    53760*li5half*ln2*sinf - 224*ln2^6*sinf + 26880*s6*sinf - 
    26880*li5half*z2 - 672*ln2^5*z2 - 53760*li4half*sinf*z2 + 
    2240*ln2^4*sinf*z2 - 12768*ln2^3*z2^2 + 12096*ln2^2*sinf*z2^2 - 
    576*ln2*z2^3 - 21504*sinf*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 
    26880*ln2^2*z2*z3 - 85728*z2^2*z3 + 103200*ln2*z3^2 + 13440*sinf*z3^2 + 
    117180*ln2^2*z5 + 116580*z2*z5 - 421605*z7)/53760, 
 H[1, 0, 1, 1, 1, 0, 1, 1] -> (50*sinf*z2^3 + 252*z2^2*z3 - 105*sinf*z3^2 - 
    420*z2*z5 - 420*z7)/105, H[1, 0, 1, 1, 1, 0, 0, 1] -> 
  (712*sinf*z2^3 - 840*z2^2*z3 - 840*sinf*z3^2 + 5040*z2*z5 - 11445*z7)/1680, 
 H[1, 0, 1, 1, 1, 0, -1, 1] -> (130560*ln2*s6 + 3840*s7a - 130560*s7b + 
    134400*s6*sinf + 80640*li4half*sinf*z2 + 3360*ln2^4*sinf*z2 - 
    20160*ln2^2*sinf*z2^2 - 22848*ln2*z2^3 + 15680*sinf*z2^3 - 
    141120*li4half*z3 - 5880*ln2^4*z3 + 35280*ln2^2*z2*z3 + 
    70560*ln2*sinf*z2*z3 + 149592*z2^2*z3 - 86760*ln2*z3^2 - 
    90720*sinf*z3^2 - 260400*ln2*sinf*z5 + 410400*z2*z5 - 1023285*z7)/53760, 
 H[1, 0, 1, 1, 1, -1, 1, 1] -> (-645120*li7half + 322560*li5half*ln2^2 + 
    53760*li4half*ln2^3 - 320*ln2^7 + 391680*ln2*s6 - 391680*s7a - 
    149760*s7b - 967680*li6half*sinf + 80640*li4half*ln2^2*sinf + 
    2016*ln2^6*sinf + 40320*s6*sinf - 322560*li5half*z2 - 
    161280*li4half*ln2*z2 + 6720*ln2^5*z2 + 564480*li4half*sinf*z2 - 
    16800*ln2^4*sinf*z2 + 81984*ln2^3*z2^2 - 30240*ln2^2*sinf*z2^2 - 
    394848*ln2*z2^3 + 55296*sinf*z2^3 - 1008000*li4half*z3 - 42000*ln2^4*z3 + 
    252000*ln2^2*z2*z3 + 759744*z2^2*z3 - 489600*ln2*z3^2 - 
    156240*sinf*z3^2 - 234360*ln2^2*z5 + 432360*z2*z5 - 1069605*z7)/161280, 
 H[1, 0, 1, 1, 1, -1, 0, 1] -> (-368640*ln2*s6 + 368640*s7a + 449280*s7b + 
    1290240*li6half*sinf + 1792*ln2^6*sinf - 241920*s6*sinf + 
    1290240*li5half*z2 + 483840*li4half*ln2*z2 + 9408*ln2^5*z2 - 
    806400*li4half*sinf*z2 - 60480*ln2^4*sinf*z2 + 47040*ln2^3*z2^2 - 
    12096*ln2^2*sinf*z2^2 + 864288*ln2*z2^3 - 2304*sinf*z2^3 + 
    1411200*li4half*z3 + 58800*ln2^4*z3 - 352800*ln2^2*z2*z3 - 
    1089792*z2^2*z3 + 460800*ln2*z3^2 + 70560*sinf*z3^2 - 78120*ln2^2*z5 - 
    1312200*z2*z5 + 1753515*z7)/322560, H[1, 0, 1, 1, 1, -1, -1, 1] -> 
  (-887040*li7half - 725760*li6half*ln2 - 282240*li5half*ln2^2 - 
    26880*li4half*ln2^3 + 400*ln2^7 - 5760*ln2*s6 - 14400*s7a - 74880*s7b - 
    403200*li6half*sinf - 241920*li5half*ln2*sinf - 
    40320*li4half*ln2^2*sinf - 224*ln2^6*sinf - 141120*s6*sinf + 
    120960*li5half*z2 + 40320*li4half*ln2*z2 - 4704*ln2^5*z2 + 
    40320*li4half*sinf*z2 + 15120*ln2^4*sinf*z2 - 32256*ln2^3*z2^2 + 
    5040*ln2^2*sinf*z2^2 + 9072*ln2*z2^3 + 59328*sinf*z2^3 - 
    60480*li4half*z3 - 2520*ln2^4*z3 + 15120*ln2^2*z2*z3 + 
    120960*ln2*sinf*z2*z3 + 64368*z2^2*z3 - 81000*ln2*z3^2 + 
    17640*sinf*z3^2 + 19530*ln2^2*z5 - 78120*ln2*sinf*z5 + 260910*z2*z5 + 
    120555*z7)/80640, H[1, 0, 1, 1, 0, 1, 1, 1] -> 
  (-8*sinf*z2^3 - 84*z2^2*z3 + 35*sinf*z3^2 + 210*z7)/70, 
 H[1, 0, 1, 1, 0, 1, 0, 1] -> (-572*sinf*z2^3 + 840*z2^2*z3 + 840*sinf*z3^2 - 
    3780*z2*z5 + 7875*z7)/840, H[1, 0, 1, 1, 0, 1, -1, 1] -> 
  (-222720*ln2*s6 + 222720*s7a - 180480*s7b - 107520*s6*sinf - 
    53760*li4half*sinf*z2 - 2240*ln2^4*sinf*z2 + 13440*ln2^2*sinf*z2^2 - 
    297120*ln2*z2^3 - 31872*sinf*z2^3 - 13440*li4half*z3 - 560*ln2^4*z3 + 
    3360*ln2^2*z2*z3 - 282240*ln2*sinf*z2*z3 + 110688*z2^2*z3 + 
    443040*ln2*z3^2 + 80640*sinf*z3^2 + 781200*ln2^2*z5 + 
    781200*ln2*sinf*z5 + 152160*z2*z5 - 34245*z7)/107520, 
 H[1, 0, 1, 1, 0, 0, 1, 1] -> (-104*sinf*z2^3 - 952*z2^2*z3 + 560*sinf*z3^2 + 
    2520*z2*z5 - 2345*z7)/560, H[1, 0, 1, 1, 0, 0, 0, 1] -> 
  (-16*sinf*z2^3 + 252*z2^2*z3 - 840*sinf*z3^2 + 420*z2*z5 + 525*z7)/840, 
 H[1, 0, 1, 1, 0, 0, -1, 1] -> (14080*ln2*s6 - 9600*s7a - 14080*s7b + 
    4480*s6*sinf + 13440*li4half*sinf*z2 + 560*ln2^4*sinf*z2 - 
    3360*ln2^2*sinf*z2^2 - 2464*ln2*z2^3 - 3600*sinf*z2^3 - 
    23520*li4half*z3 - 980*ln2^4*z3 + 5880*ln2^2*z2*z3 + 
    11760*ln2*sinf*z2*z3 + 10404*z2^2*z3 - 16620*ln2*z3^2 - 2240*sinf*z3^2 - 
    8680*ln2*sinf*z5 + 55920*z2*z5 - 106705*z7)/4480, 
 H[1, 0, 1, 1, 0, -1, 1, 1] -> (-153600*ln2*s6 + 153600*s7a + 556800*s7b - 
    295680*s6*sinf - 430080*li4half*sinf*z2 - 17920*ln2^4*sinf*z2 + 
    107520*ln2^2*sinf*z2^2 + 362976*ln2*z2^3 + 74304*sinf*z2^3 + 
    860160*li4half*z3 + 35840*ln2^4*z3 - 215040*ln2^2*z2*z3 - 
    141120*ln2*sinf*z2*z3 - 776976*z2^2*z3 + 192000*ln2*z3^2 + 
    274680*sinf*z3^2 - 781200*ln2^2*z5 - 1257600*z2*z5 + 3028005*z7)/107520, 
 H[1, 0, 1, 1, 0, -1, 0, 1] -> (-1136*sinf*z2^3 + 46620*z2^2*z3 - 
    21000*sinf*z3^2 - 119910*z2*z5 + 161385*z7)/26880, 
 H[1, 0, 1, 1, 0, -1, -1, 1] -> (-46080*ln2*s6 - 34560*s7a + 46080*s7b - 
    13440*s6*sinf + 8064*ln2*z2^3 - 3296*sinf*z2^3 - 17112*z2^2*z3 - 
    12960*ln2*z3^2 + 7140*sinf*z3^2 + 26040*ln2*sinf*z5 - 150900*z2*z5 + 
    246345*z7)/17920, H[1, 0, 1, 1, -1, 1, 1, 1] -> 
  (-1451520*li7half + 80640*li4half*ln2^3 + 3648*ln2^7 - 691200*ln2*s6 + 
    691200*s7a + 933120*s7b + 1612800*li6half*sinf + 2240*ln2^6*sinf - 
    241920*li4half*ln2*z2 - 36288*ln2^5*z2 - 967680*li4half*sinf*z2 - 
    13440*ln2^4*sinf*z2 + 44352*ln2^3*z2^2 + 20160*ln2^2*sinf*z2^2 + 
    301536*ln2*z2^3 + 2358720*li4half*z3 + 115920*ln2^4*z3 + 
    23520*ln2^3*sinf*z3 - 695520*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 - 
    1311552*z2^2*z3 + 864000*ln2*z3^2 + 61740*sinf*z3^2 - 234360*ln2^2*z5 - 
    2748600*z2*z5 + 7319565*z7)/161280, H[1, 0, 1, 1, -1, 1, 0, 1] -> 
  (576000*ln2*s6 - 576000*s7a - 65280*s7b - 1290240*li6half*sinf - 
    1792*ln2^6*sinf - 349440*s6*sinf - 430080*li5half*z2 + 
    161280*li4half*ln2*z2 + 10304*ln2^5*z2 + 322560*li4half*sinf*z2 + 
    40320*ln2^4*sinf*z2 - 136640*ln2^3*z2^2 + 52416*ln2^2*sinf*z2^2 - 
    228000*ln2*z2^3 + 20352*sinf*z2^3 - 967680*li4half*z3 - 40320*ln2^4*z3 + 
    336000*ln2^2*z2*z3 + 47040*ln2*sinf*z2*z3 + 383664*z2^2*z3 - 
    720000*ln2*z3^2 + 312480*sinf*z3^2 - 494760*ln2^2*z5 + 127080*z2*z5 + 
    116835*z7)/107520, H[1, 0, 1, 1, -1, 1, -1, 1] -> 
  (3548160*li7half + 1128960*li6half*ln2 + 241920*li5half*ln2^2 - 
    80640*li4half*ln2^3 - 4512*ln2^7 - 495360*ln2*s6 + 616320*s7a - 
    391680*s7b - 161280*li6half*sinf + 483840*li5half*ln2*sinf - 
    4256*ln2^6*sinf - 241920*s6*sinf - 241920*li5half*z2 + 
    241920*li4half*ln2*z2 + 43680*ln2^5*z2 - 241920*li4half*sinf*z2 - 
    36960*ln2^4*sinf*z2 - 32928*ln2^3*z2^2 + 209664*ln2^2*sinf*z2^2 - 
    44640*ln2*z2^3 + 12096*sinf*z2^3 + 181440*li4half*z3 - 10080*ln2^4*z3 - 
    23520*ln2^3*sinf*z3 + 60480*ln2^2*z2*z3 - 624960*ln2*sinf*z2*z3 - 
    60768*z2^2*z3 + 989640*ln2*z3^2 + 284760*sinf*z3^2 + 1328040*ln2^2*z5 + 
    703080*ln2*sinf*z5 + 830520*z2*z5 - 3713085*z7)/161280, 
 H[1, 0, 1, 1, -1, 0, 1, 1] -> (318720*ln2*s6 - 318720*s7a - 238080*s7b + 
    282240*s6*sinf + 107520*li5half*z2 + 161280*li4half*ln2*z2 + 
    5824*ln2^5*z2 + 376320*li4half*sinf*z2 + 15680*ln2^4*sinf*z2 - 
    31360*ln2^3*z2^2 - 84000*ln2^2*sinf*z2^2 - 163008*ln2*z2^3 - 
    79552*sinf*z2^3 - 853440*li4half*z3 - 35560*ln2^4*z3 + 
    236880*ln2^2*z2*z3 + 47040*ln2*sinf*z2*z3 + 447624*z2^2*z3 - 
    398400*ln2*z3^2 - 137340*sinf*z3^2 - 78120*ln2^2*z5 + 677520*z2*z5 - 
    1803435*z7)/53760, H[1, 0, 1, 1, -1, 0, 0, 1] -> 
  (-31680*ln2*s6 + 31680*s7a - 1920*s7b - 16800*s6*sinf + 26880*li5half*z2 - 
    224*ln2^5*z2 - 13440*li4half*sinf*z2 - 560*ln2^4*sinf*z2 + 
    2240*ln2^3*z2^2 + 10920*ln2^2*sinf*z2^2 + 4728*ln2*z2^3 + 
    4544*sinf*z2^3 + 48720*li4half*z3 + 2030*ln2^4*z3 - 12180*ln2^2*z2*z3 - 
    19356*z2^2*z3 + 39600*ln2*z3^2 + 105*sinf*z3^2 + 32550*ln2^2*z5 - 
    3705*z2*z5 - 9000*z7)/6720, H[1, 0, 1, 1, -1, 0, -1, 1] -> 
  (-2580480*li7half - 1290240*li6half*ln2 - 215040*li5half*ln2^2 + 
    512*ln2^7 + 197760*ln2*s6 - 614400*s7a + 218880*s7b - 
    1290240*li6half*sinf - 430080*li5half*ln2*sinf + 1792*ln2^6*sinf - 
    483840*s6*sinf + 268800*li5half*z2 + 80640*li4half*ln2*z2 - 
    672*ln2^5*z2 + 295680*li4half*sinf*z2 + 3360*ln2^4*sinf*z2 + 
    2240*ln2^3*z2^2 + 17472*ln2^2*sinf*z2^2 - 119520*ln2*z2^3 + 
    101536*sinf*z2^3 - 571200*li4half*z3 - 23800*ln2^4*z3 + 
    154560*ln2^2*z2*z3 + 235200*ln2*sinf*z2*z3 + 223848*z2^2*z3 - 
    673500*ln2*z3^2 + 98280*sinf*z3^2 - 742140*ln2^2*z5 + 
    130200*ln2*sinf*z5 - 743760*z2*z5 + 2702955*z7)/53760, 
 H[1, 0, 1, 1, -1, -1, 1, 1] -> (725760*li7half - 241920*li5half*ln2^2 - 
    120960*li4half*ln2^3 - 3168*ln2^7 + 69120*ln2*s6 - 69120*s7a - 
    149760*s7b + 645120*li6half*sinf - 120960*li4half*ln2^2*sinf - 
    4144*ln2^6*sinf + 443520*s6*sinf + 241920*li5half*z2 + 
    241920*li4half*ln2*z2 + 21168*ln2^5*z2 + 120960*li4half*sinf*z2 + 
    11760*ln2^4*sinf*z2 - 25200*ln2^3*z2^2 - 100800*ln2^2*sinf*z2^2 + 
    69552*ln2*z2^3 - 104832*sinf*z2^3 - 393120*li4half*z3 - 25200*ln2^4*z3 - 
    11760*ln2^3*sinf*z3 + 115920*ln2^2*z2*z3 - 15120*ln2*sinf*z2*z3 + 
    160488*z2^2*z3 - 86400*ln2*z3^2 - 148680*sinf*z3^2 + 136710*ln2^2*z5 + 
    383850*z2*z5 - 1795995*z7)/80640, H[1, 0, 1, 1, -1, -1, 0, 1] -> 
  (-610560*ln2*s6 + 610560*s7a + 368640*s7b + 1290240*li6half*sinf + 
    1792*ln2^6*sinf + 201600*s6*sinf - 1128960*li5half*z2 - 
    967680*li4half*ln2*z2 - 30912*ln2^5*z2 - 564480*li4half*sinf*z2 - 
    50400*ln2^4*sinf*z2 + 208320*ln2^3*z2^2 - 42336*ln2^2*sinf*z2^2 + 
    114336*ln2*z2^3 - 22464*sinf*z2^3 + 1491840*li4half*z3 + 62160*ln2^4*z3 - 
    514080*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 - 673992*z2^2*z3 + 
    763200*ln2*z3^2 - 91980*sinf*z3^2 + 234360*ln2^2*z5 - 260100*z2*z5 + 
    2993985*z7)/161280, H[1, 0, 1, 1, -1, -1, -1, 1] -> 
  (-483840*li7half - 80640*li6half*ln2 + 67200*li5half*ln2^2 + 
    40320*li4half*ln2^3 + 1104*ln2^7 + 41280*ln2*s6 - 121920*s7a + 
    99840*s7b - 241920*li6half*sinf - 26880*li5half*ln2*sinf + 
    40320*li4half*ln2^2*sinf + 1568*ln2^6*sinf - 120960*s6*sinf + 
    13440*li5half*z2 - 40320*li4half*ln2*z2 - 6608*ln2^5*z2 + 
    26880*li4half*sinf*z2 - 1120*ln2^4*sinf*z2 + 5488*ln2^3*z2^2 + 
    16128*ln2^2*sinf*z2^2 - 19728*ln2*z2^3 + 23328*sinf*z2^3 - 
    43680*li4half*z3 + 1120*ln2^4*z3 + 3920*ln2^3*sinf*z3 + 
    5040*ln2^2*z2*z3 + 40320*ln2*sinf*z2*z3 - 2412*z2^2*z3 - 
    133920*ln2*z3^2 + 32130*sinf*z3^2 - 240870*ln2^2*z5 - 13020*ln2*sinf*z5 - 
    293700*z2*z5 + 846735*z7)/26880, H[1, 0, 1, 0, 1, 1, 1, 1] -> 
  (-32*sinf*z2^3 - 336*z2^2*z3 + 105*sinf*z3^2 + 1050*z7)/105, 
 H[1, 0, 1, 0, 1, 1, 0, 1] -> (1480*sinf*z2^3 + 5208*z2^2*z3 - 
    5040*sinf*z3^2 + 9240*z2*z5 - 30555*z7)/1680, 
 H[1, 0, 1, 0, 1, 1, -1, 1] -> (-322560*li7half - 161280*li6half*ln2 - 
    26880*li5half*ln2^2 + 64*ln2^7 + 39840*ln2*s6 - 49920*s7a + 24000*s7b - 
    161280*li6half*sinf - 53760*li5half*ln2*sinf + 224*ln2^6*sinf - 
    57120*s6*sinf + 26880*li5half*z2 - 448*ln2^5*z2 + 33600*li4half*sinf*z2 + 
    280*ln2^4*sinf*z2 + 2240*ln2^3*z2^2 + 5544*ln2^2*sinf*z2^2 + 
    3696*ln2*z2^3 + 18208*sinf*z2^3 - 52080*li4half*z3 - 2170*ln2^4*z3 - 
    7140*ln2^2*z2*z3 + 57960*ln2*sinf*z2*z3 + 30102*z2^2*z3 - 
    104190*ln2*z3^2 + 2100*sinf*z3^2 - 100905*ln2^2*z5 - 58590*ln2*sinf*z5 - 
    43515*z2*z5 + 255720*z7)/13440, H[1, 0, 1, 0, 1, 0, 1, 1] -> 
  (3*sinf*z2^3 - 42*z2^2*z3 + 140*z2*z5 - 140*z7)/70, 
 H[1, 0, 1, 0, 1, 0, 0, 1] -> (32*sinf*z2^3 - 2128*z2^2*z3 + 1120*sinf*z3^2 - 
    1120*z2*z5 + 5495*z7)/560, H[1, 0, 1, 0, 1, 0, -1, 1] -> 
  (-10240*ln2*s6 + 10240*s7b - 10240*s6*sinf - 15360*li4half*sinf*z2 - 
    640*ln2^4*sinf*z2 + 3840*ln2^2*sinf*z2^2 + 1792*ln2*z2^3 + 
    2464*sinf*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 
    13440*ln2*sinf*z2*z3 - 18016*z2^2*z3 + 20640*ln2*z3^2 + 8320*sinf*z3^2 + 
    19840*ln2*sinf*z5 - 37760*z2*z5 + 80845*z7)/2560, 
 H[1, 0, 1, 0, 1, -1, 1, 1] -> (2580480*li7half - 645120*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 4096*ln2^7 - 253440*ln2*s6 + 253440*s7a - 
    794880*s7b + 1935360*li6half*sinf - 322560*li4half*ln2^2*sinf - 
    10752*ln2^6*sinf + 927360*s6*sinf + 645120*li5half*z2 + 
    645120*li4half*ln2*z2 + 32256*ln2^5*z2 - 322560*li4half*sinf*z2 + 
    26880*ln2^4*sinf*z2 - 107520*ln2^3*z2^2 - 254016*ln2^2*sinf*z2^2 + 
    220896*ln2*z2^3 - 151008*sinf*z2^3 + 161280*li4half*z3 + 6720*ln2^4*z3 + 
    443520*ln2^2*z2*z3 - 60480*ln2*sinf*z2*z3 + 212400*z2^2*z3 + 
    316800*ln2*z3^2 - 315000*sinf*z3^2 + 1484280*ln2^2*z5 + 1899000*z2*z5 - 
    6850485*z7)/161280, H[1, 0, 1, 0, 1, -1, 0, 1] -> 
  (-99840*ln2*s6 + 99840*s7a + 99840*s7b - 645120*li5half*z2 - 
    322560*li4half*ln2*z2 - 8064*ln2^5*z2 + 107520*li4half*sinf*z2 + 
    4480*ln2^4*sinf*z2 + 26880*ln2^3*z2^2 - 26880*ln2^2*sinf*z2^2 - 
    98016*ln2*z2^3 - 31136*sinf*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 
    20160*ln2^2*z2*z3 - 102960*z2^2*z3 + 124800*ln2*z3^2 + 43680*sinf*z3^2 + 
    244320*z2*z5 + 933255*z7)/53760, H[1, 0, 1, 0, 1, -1, -1, 1] -> 
  (2580480*li7half + 3870720*li6half*ln2 + 1935360*li5half*ln2^2 + 
    430080*li4half*ln2^3 + 6656*ln2^7 + 103680*ln2*s6 + 138240*s7a + 
    1025280*s7b + 1290240*li5half*ln2*sinf + 645120*li4half*ln2^2*sinf + 
    16128*ln2^6*sinf - 806400*s6*sinf - 645120*li5half*z2 - 
    645120*li4half*ln2*z2 - 37632*ln2^5*z2 - 1290240*li4half*sinf*z2 - 
    107520*ln2^4*sinf*z2 + 107520*ln2^3*z2^2 + 657216*ln2^2*sinf*z2^2 + 
    107424*ln2*z2^3 + 209280*sinf*z2^3 + 2257920*li4half*z3 + 
    94080*ln2^4*z3 - 1048320*ln2^2*z2*z3 - 1270080*ln2*sinf*z2*z3 - 
    1566864*z2^2*z3 + 1669680*ln2*z3^2 + 730800*sinf*z3^2 - 
    1640520*ln2^2*z5 + 312480*ln2*sinf*z5 - 3195720*z2*z5 + 5501205*z7)/
   322560, H[1, 0, 1, 0, 0, 1, 1, 1] -> 
  (848*sinf*z2^3 + 5712*z2^2*z3 - 2520*sinf*z3^2 - 18795*z7)/1680, 
 H[1, 0, 1, 0, 0, 1, 0, 1] -> (-48*sinf*z2^3 + 40*z2^2*z3 + 80*sinf*z3^2 - 
    180*z2*z5 + 375*z7)/40, H[1, 0, 1, 0, 0, 1, -1, 1] -> 
  (-2304*ln2*s6 - 4416*s7a + 7008*s7b + 1344*s6*sinf + 1404*ln2*z2^3 - 
    244*sinf*z2^3 - 2520*ln2*sinf*z2*z3 - 1410*z2^2*z3 - 3882*ln2*z3^2 + 
    336*sinf*z3^2 - 9114*ln2^2*z5 + 3906*ln2*sinf*z5 - 22896*z2*z5 + 
    37365*z7)/1344, H[1, 0, 1, 0, 0, 0, 1, 1] -> 
  (800*sinf*z2^3 + 336*z2^2*z3 - 1680*sinf*z3^2 - 9240*z2*z5 + 12075*z7)/
   1680, H[1, 0, 1, 0, 0, 0, 0, 1] -> 
  (40*sinf*z2^3 + 28*z2^2*z3 + 140*z2*z5 - 385*z7)/35, 
 H[1, 0, 1, 0, 0, 0, -1, 1] -> (30720*ln2*s6 + 76800*s7a - 30720*s7b + 
    107520*s6*sinf - 5376*ln2*z2^3 + 33184*sinf*z2^3 + 8832*z2^2*z3 + 
    8640*ln2*z3^2 - 60480*sinf*z3^2 - 208320*ln2*sinf*z5 + 123840*z2*z5 - 
    182955*z7)/26880, H[1, 0, 1, 0, 0, -1, 1, 1] -> 
  (-84480*ln2*s6 + 84480*s7a - 103680*s7b - 134400*s6*sinf - 25248*ln2*z2^3 + 
    704*sinf*z2^3 + 100800*ln2*sinf*z2*z3 + 31152*z2^2*z3 + 105600*ln2*z3^2 - 
    4200*sinf*z3^2 + 364560*ln2^2*z5 + 128160*z2*z5 - 288495*z7)/53760, 
 H[1, 0, 1, 0, 0, -1, 0, 1] -> (-1272*sinf*z2^3 + 4690*z2^2*z3 + 
    420*sinf*z3^2 + 6825*z2*z5 - 16555*z7)/2240, 
 H[1, 0, 1, 0, 0, -1, -1, 1] -> (115200*ln2*s6 + 46080*s7a - 115200*s7b + 
    67200*s6*sinf + 80640*li4half*sinf*z2 + 3360*ln2^4*sinf*z2 - 
    20160*ln2^2*sinf*z2^2 - 20160*ln2*z2^3 - 8704*sinf*z2^3 - 
    141120*li4half*z3 - 5880*ln2^4*z3 + 35280*ln2^2*z2*z3 + 
    70560*ln2*sinf*z2*z3 + 107376*z2^2*z3 - 91080*ln2*z3^2 - 
    50820*sinf*z3^2 - 130200*ln2*sinf*z5 + 408540*z2*z5 - 749475*z7)/26880, 
 H[1, 0, 1, 0, -1, 1, 1, 1] -> (-161280*li7half - 26880*li4half*ln2^3 - 
    1088*ln2^7 + 260640*ln2*s6 - 260640*s7a - 190080*s7b - 
    161280*li6half*sinf - 224*ln2^6*sinf + 30240*s6*sinf + 
    80640*li4half*ln2*z2 + 9408*ln2^5*z2 + 241920*li4half*sinf*z2 + 
    13440*ln2^4*sinf*z2 - 20160*ln2^3*z2^2 - 18648*ln2^2*sinf*z2^2 - 
    121752*ln2*z2^3 - 30192*sinf*z2^3 - 624960*li4half*z3 - 43680*ln2^4*z3 - 
    23520*ln2^3*sinf*z3 + 201600*ln2^2*z2*z3 + 70560*ln2*sinf*z2*z3 + 
    371160*z2^2*z3 - 325800*ln2*z3^2 - 60480*sinf*z3^2 - 68355*ln2^2*z5 + 
    556155*z2*z5 - 1378935*z7)/40320, H[1, 0, 1, 0, -1, 1, 0, 1] -> 
  (-55680*ln2*s6 + 55680*s7a + 55680*s7b + 53760*li5half*z2 - 
    26880*li4half*ln2*z2 - 1568*ln2^5*z2 - 53760*li4half*sinf*z2 - 
    2240*ln2^4*sinf*z2 + 11200*ln2^3*z2^2 + 13440*ln2^2*sinf*z2^2 + 
    38616*ln2*z2^3 + 15328*sinf*z2^3 + 161280*li4half*z3 + 6720*ln2^4*z3 - 
    87360*ln2^2*z2*z3 - 23520*ln2*sinf*z2*z3 - 59016*z2^2*z3 + 
    69600*ln2*z3^2 - 6720*sinf*z3^2 - 217950*z2*z5 + 354765*z7)/13440, 
 H[1, 0, 1, 0, -1, 1, -1, 1] -> (564480*li7half + 241920*li6half*ln2 + 
    40320*li5half*ln2^2 + 13440*li4half*ln2^3 + 448*ln2^7 + 43200*ln2*s6 + 
    82800*s7a - 174240*s7b + 322560*li6half*sinf + 80640*li5half*ln2*sinf - 
    224*ln2^6*sinf + 181440*s6*sinf - 40320*li5half*z2 - 
    40320*li4half*ln2*z2 - 4032*ln2^5*z2 + 40320*li4half*sinf*z2 + 
    1680*ln2^4*sinf*z2 + 6720*ln2^3*z2^2 - 51912*ln2^2*sinf*z2^2 + 
    14508*ln2*z2^3 - 45888*sinf*z2^3 - 30240*li4half*z3 + 7560*ln2^4*z3 + 
    11760*ln2^3*sinf*z3 + 15120*ln2^2*z2*z3 + 63000*ln2*sinf*z2*z3 + 
    85878*z2^2*z3 + 16560*ln2*z3^2 - 91980*sinf*z3^2 + 185535*ln2^2*z5 - 
    126945*ln2*sinf*z5 + 583335*z2*z5 - 1512900*z7)/20160, 
 H[1, 0, 1, 0, -1, 0, 1, 1] -> (-322560*ln2*s6 + 322560*s7a + 322560*s7b - 
    215040*li5half*z2 - 215040*li4half*ln2*z2 - 7168*ln2^5*z2 - 
    215040*li4half*sinf*z2 - 8960*ln2^4*sinf*z2 + 35840*ln2^3*z2^2 + 
    53760*ln2^2*sinf*z2^2 + 56448*ln2*z2^3 + 66048*sinf*z2^3 + 
    564480*li4half*z3 + 23520*ln2^4*z3 - 235200*ln2^2*z2*z3 - 
    188160*ln2*sinf*z2*z3 - 387744*z2^2*z3 + 403200*ln2*z3^2 + 
    58800*sinf*z3^2 - 872760*z2*z5 + 2477895*z7)/53760, 
 H[1, 0, 1, 0, -1, 0, 0, 1] -> (107520*ln2*s6 - 107520*s7a - 107520*s7b - 
    18816*ln2*z2^3 + 15744*sinf*z2^3 - 188160*li4half*z3 - 7840*ln2^4*z3 + 
    47040*ln2^2*z2*z3 + 68544*z2^2*z3 - 134400*ln2*z3^2 + 5040*sinf*z3^2 + 
    369600*z2*z5 - 787185*z7)/26880, H[1, 0, 1, 0, -1, 0, -1, 1] -> 
  (-90240*ln2*s6 + 90240*s7a + 90240*s7b - 26880*li5half*z2 - 
    26880*li4half*ln2*z2 - 896*ln2^5*z2 - 107520*li4half*sinf*z2 - 
    4480*ln2^4*sinf*z2 + 4480*ln2^3*z2^2 + 26880*ln2^2*sinf*z2^2 + 
    15792*ln2*z2^3 + 32736*sinf*z2^3 + 188160*li4half*z3 + 7840*ln2^4*z3 - 
    58800*ln2^2*z2*z3 - 94080*ln2*sinf*z2*z3 - 118680*z2^2*z3 + 
    139260*ln2*z3^2 + 29400*sinf*z3^2 - 255735*z2*z5 + 652215*z7)/13440, 
 H[1, 0, 1, 0, -1, -1, 1, 1] -> (-3870720*li7half + 1290240*li5half*ln2^2 + 
    645120*li4half*ln2^3 + 16896*ln2^7 - 357120*ln2*s6 + 357120*s7a + 
    1324800*s7b - 2580480*li6half*sinf + 645120*li4half*ln2^2*sinf + 
    23296*ln2^6*sinf - 1209600*s6*sinf - 1290240*li5half*z2 - 
    1290240*li4half*ln2*z2 - 112896*ln2^5*z2 - 107520*ln2^4*sinf*z2 + 
    215040*ln2^3*z2^2 + 334656*ln2^2*sinf*z2^2 - 416160*ln2*z2^3 + 
    334848*sinf*z2^3 + 806400*li4half*z3 + 174720*ln2^4*z3 + 
    188160*ln2^3*sinf*z3 - 967680*ln2^2*z2*z3 - 302400*ln2*sinf*z2*z3 - 
    917136*z2^2*z3 + 446400*ln2*z3^2 + 546840*sinf*z3^2 - 1328040*ln2^2*z5 - 
    3531240*z2*z5 + 13167405*z7)/322560, H[1, 0, 1, 0, -1, -1, 0, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b + 30720*li5half*z2 + 
    30720*li4half*ln2*z2 + 1024*ln2^5*z2 + 7680*li4half*sinf*z2 + 
    320*ln2^4*sinf*z2 - 5120*ln2^3*z2^2 - 1920*ln2^2*sinf*z2^2 - 
    2688*ln2*z2^3 - 2144*sinf*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 
    20160*ln2^2*z2*z3 + 6720*ln2*sinf*z2*z3 + 17484*z2^2*z3 - 
    19200*ln2*z3^2 - 3120*sinf*z3^2 + 28110*z2*z5 - 125565*z7)/3840, 
 H[1, 0, 1, 0, -1, -1, -1, 1] -> (-967680*li7half - 967680*li6half*ln2 - 
    483840*li5half*ln2^2 - 161280*li4half*ln2^3 - 3840*ln2^7 - 
    207360*ln2*s6 + 25920*s7a + 207360*s7b - 322560*li6half*sinf - 
    322560*li5half*ln2*sinf - 161280*li4half*ln2^2*sinf - 4480*ln2^6*sinf - 
    80640*s6*sinf + 161280*li5half*z2 + 161280*li4half*ln2*z2 + 
    21504*ln2^5*z2 - 120960*li4half*sinf*z2 + 15120*ln2^4*sinf*z2 - 
    26880*ln2^3*z2^2 + 30240*ln2^2*sinf*z2^2 + 36288*ln2*z2^3 + 
    91536*sinf*z2^3 + 171360*li4half*z3 - 28140*ln2^4*z3 - 
    47040*ln2^3*sinf*z3 + 27720*ln2^2*z2*z3 - 105840*ln2*sinf*z2*z3 - 
    152856*z2^2*z3 + 91620*ln2*z3^2 + 68670*sinf*z3^2 + 156240*ln2*sinf*z5 - 
    692910*z2*z5 + 2043315*z7)/80640, H[1, 0, 1, -1, 1, 1, 1, 1] -> 
  (1612800*li7half - 320*ln2^7 + 391680*ln2*s6 - 391680*s7a - 149760*s7b - 
    1451520*li6half*sinf - 2016*ln2^6*sinf - 40320*s6*sinf + 6720*ln2^5*z2 + 
    645120*li4half*sinf*z2 + 16800*ln2^4*sinf*z2 - 47040*ln2^3*z2^2 - 
    34272*ln2^2*sinf*z2^2 - 7776*ln2*z2^3 + 9216*sinf*z2^3 - 
    1290240*li4half*z3 - 42000*ln2^4*z3 + 252000*ln2^2*z2*z3 + 
    82368*z2^2*z3 - 489600*ln2*z3^2 + 156240*sinf*z3^2 - 234360*ln2^2*z5 + 
    432360*z2*z5 - 1069605*z7)/161280, H[1, 0, 1, -1, 1, 1, 0, 1] -> 
  (-476160*ln2*s6 + 476160*s7a - 625920*s7b + 1290240*li6half*sinf + 
    1792*ln2^6*sinf + 349440*s6*sinf + 645120*li5half*z2 - 5376*ln2^5*z2 - 
    107520*li4half*sinf*z2 - 31360*ln2^4*sinf*z2 + 114240*ln2^3*z2^2 - 
    25536*ln2^2*sinf*z2^2 + 52512*ln2*z2^3 - 66048*sinf*z2^3 + 
    215040*li4half*z3 + 8960*ln2^4*z3 - 6720*ln2^2*z2*z3 + 
    20160*ln2*sinf*z2*z3 + 382224*z2^2*z3 + 571680*ln2*z3^2 - 
    420000*sinf*z3^2 + 1067640*ln2^2*z5 + 1824360*z2*z5 - 4885635*z7)/107520, 
 H[1, 0, 1, -1, 1, 1, -1, 1] -> (-3386880*li7half - 806400*li6half*ln2 - 
    80640*li5half*ln2^2 + 224*ln2^7 + 518400*ln2*s6 - 518400*s7a + 
    207360*s7b + 967680*li6half*sinf - 161280*li5half*ln2*sinf + 
    2688*ln2^6*sinf + 685440*s6*sinf + 80640*li5half*z2 - 4704*ln2^5*z2 + 
    241920*li4half*sinf*z2 + 6720*ln2^4*sinf*z2 + 85344*ln2^3*z2^2 - 
    183456*ln2^2*sinf*z2^2 - 125856*ln2*z2^3 - 95616*sinf*z2^3 - 
    302400*li4half*z3 - 24360*ln2^4*z3 + 146160*ln2^2*z2*z3 + 
    635040*ln2*sinf*z2*z3 + 258408*z2^2*z3 - 1141920*ln2*z3^2 - 
    468720*sinf*z3^2 - 1288980*ln2^2*z5 - 1171800*ln2*sinf*z5 - 45900*z2*z5 + 
    2233575*z7)/161280, H[1, 0, 1, -1, 1, 0, 1, 1] -> 
  (-130560*ln2*s6 + 130560*s7a + 49920*s7b - 134400*s6*sinf + 
    107520*li5half*z2 - 896*ln2^5*z2 - 188160*li4half*sinf*z2 - 
    7840*ln2^4*sinf*z2 + 8960*ln2^3*z2^2 + 36960*ln2^2*sinf*z2^2 + 
    72288*ln2*z2^3 + 41728*sinf*z2^3 + 376320*li4half*z3 + 15680*ln2^4*z3 - 
    70560*ln2^2*z2*z3 - 10080*ln2*sinf*z2*z3 - 162864*z2^2*z3 + 
    174960*ln2*z3^2 + 53760*sinf*z3^2 + 78120*ln2^2*z5 - 192840*z2*z5 + 
    306555*z7)/26880, H[1, 0, 1, -1, 1, 0, 0, 1] -> 
  (264960*ln2*s6 - 264960*s7a + 272640*s7b + 268800*s6*sinf - 
    430080*li5half*z2 + 3584*ln2^5*z2 - 35840*ln2^3*z2^2 - 
    120960*ln2^2*sinf*z2^2 - 93792*ln2*z2^3 + 7936*sinf*z2^3 - 
    161280*li4half*z3 - 6720*ln2^4*z3 + 40320*ln2^2*z2*z3 - 
    60480*ln2*sinf*z2*z3 - 116352*z2^2*z3 - 260640*ln2*z3^2 - 
    26880*sinf*z3^2 - 520800*ln2^2*z5 - 562320*z2*z5 + 1823685*z7)/53760, 
 H[1, 0, 1, -1, 1, 0, -1, 1] -> (10321920*li7half + 5160960*li6half*ln2 + 
    860160*li5half*ln2^2 - 2048*ln2^7 + 280320*ln2*s6 + 2515200*s7a - 
    2914560*s7b + 5160960*li6half*sinf + 1720320*li5half*ln2*sinf - 
    7168*ln2^6*sinf + 2257920*s6*sinf - 645120*li5half*z2 + 12544*ln2^5*z2 - 
    591360*li4half*sinf*z2 + 11200*ln2^4*sinf*z2 - 53760*ln2^3*z2^2 - 
    217728*ln2^2*sinf*z2^2 - 177504*ln2*z2^3 - 530368*sinf*z2^3 + 
    1061760*li4half*z3 + 44240*ln2^4*z3 - 218400*ln2^2*z2*z3 - 
    524160*ln2*sinf*z2*z3 + 271776*z2^2*z3 + 2707200*ln2*z3^2 - 
    672000*sinf*z3^2 + 4843440*ln2^2*z5 - 833280*ln2*sinf*z5 + 
    9050400*z2*z5 - 22597185*z7)/107520, H[1, 0, 1, -1, 1, -1, 1, 1] -> 
  (-3548160*li7half + 322560*li5half*ln2^2 + 161280*li4half*ln2^3 + 
    4736*ln2^7 + 253440*ln2*s6 - 253440*s7a + 794880*s7b + 
    483840*li6half*sinf + 241920*li4half*ln2^2*sinf + 10752*ln2^6*sinf - 
    120960*s6*sinf - 322560*li5half*z2 - 483840*li4half*ln2*z2 - 
    45696*ln2^5*z2 - 241920*li4half*sinf*z2 + 72576*ln2^3*z2^2 - 
    24192*ln2^2*sinf*z2^2 - 219744*ln2*z2^3 - 22752*sinf*z2^3 + 
    846720*li4half*z3 + 23520*ln2^4*z3 - 141120*ln2^2*z2*z3 + 
    120960*ln2*sinf*z2*z3 - 500688*z2^2*z3 - 387360*ln2*z3^2 - 
    7560*sinf*z3^2 - 1484280*ln2^2*z5 - 1899000*z2*z5 + 7150365*z7)/161280, 
 H[1, 0, 1, -1, 1, -1, 0, 1] -> (1739520*ln2*s6 - 1739520*s7a + 1486080*s7b - 
    5160960*li6half*sinf - 7168*ln2^6*sinf - 1290240*s6*sinf + 
    645120*li5half*z2 + 1451520*li4half*ln2*z2 + 55104*ln2^5*z2 + 
    483840*li4half*sinf*z2 + 127680*ln2^4*sinf*z2 - 551040*ln2^3*z2^2 + 
    249984*ln2^2*sinf*z2^2 + 147744*ln2*z2^3 + 581184*sinf*z2^3 - 
    1572480*li4half*z3 - 65520*ln2^4*z3 + 252000*ln2^2*z2*z3 - 
    483840*ln2*sinf*z2*z3 - 113760*z2^2*z3 - 1609920*ln2*z3^2 + 
    786240*sinf*z3^2 - 3124800*ln2^2*z5 - 5726160*z2*z5 + 8336565*z7)/322560, 
 H[1, 0, 1, -1, 1, -1, -1, 1] -> (2983680*li7half + 725760*li6half*ln2 - 
    40320*li5half*ln2^2 - 80640*li4half*ln2^3 - 2608*ln2^7 - 256320*ln2*s6 + 
    679680*s7a - 731520*s7b + 645120*li6half*sinf + 241920*li5half*ln2*sinf - 
    120960*li4half*ln2^2*sinf - 6160*ln2^6*sinf + 302400*s6*sinf - 
    120960*li5half*z2 + 120960*li4half*ln2*z2 + 20160*ln2^5*z2 - 
    241920*li4half*sinf*z2 - 8400*ln2^4*sinf*z2 - 31584*ln2^3*z2^2 + 
    32256*ln2^2*sinf*z2^2 + 37872*ln2*z2^3 - 26928*sinf*z2^3 + 
    453600*li4half*z3 + 24780*ln2^4*z3 - 148680*ln2^2*z2*z3 - 
    347760*ln2*sinf*z2*z3 - 61596*z2^2*z3 + 1096560*ln2*z3^2 + 
    1260*sinf*z3^2 + 1660050*ln2^2*z5 + 117180*ln2*sinf*z5 + 2134350*z2*z5 - 
    5683455*z7)/80640, H[1, 0, 1, -1, 0, 1, 1, 1] -> 
  (-218880*ln2*s6 + 218880*s7a + 218880*s7b - 376320*s6*sinf - 
    430080*li4half*sinf*z2 - 17920*ln2^4*sinf*z2 + 107520*ln2^2*sinf*z2^2 + 
    193824*ln2*z2^3 + 132480*sinf*z2^3 + 967680*li4half*z3 + 40320*ln2^4*z3 - 
    241920*ln2^2*z2*z3 + 20160*ln2*sinf*z2*z3 - 34704*z2^2*z3 + 
    250080*ln2*z3^2 - 6720*sinf*z3^2 - 642960*z2*z5 + 101475*z7)/107520, 
 H[1, 0, 1, -1, 0, 1, 0, 1] -> (34560*ln2*s6 - 34560*s7a - 34560*s7b + 
    107520*li4half*sinf*z2 + 4480*ln2^4*sinf*z2 - 26880*ln2^2*sinf*z2^2 - 
    14688*ln2*z2^3 - 56192*sinf*z2^3 - 268800*li4half*z3 - 11200*ln2^4*z3 + 
    67200*ln2^2*z2*z3 + 60480*ln2*sinf*z2*z3 + 55128*z2^2*z3 - 
    113760*ln2*z3^2 + 67200*sinf*z3^2 - 50940*z2*z5 + 179355*z7)/26880, 
 H[1, 0, 1, -1, 0, 1, -1, 1] -> (-5160960*li7half - 2580480*li6half*ln2 - 
    430080*li5half*ln2^2 + 1024*ln2^7 - 385920*ln2*s6 - 1146240*s7a + 
    1582080*s7b - 2580480*li6half*sinf - 860160*li5half*ln2*sinf + 
    3584*ln2^6*sinf - 1397760*s6*sinf + 430080*li5half*z2 + 
    80640*li4half*ln2*z2 - 3808*ln2^5*z2 + 107520*li4half*sinf*z2 - 
    13440*ln2^4*sinf*z2 + 15680*ln2^3*z2^2 + 176064*ln2^2*sinf*z2^2 + 
    23808*ln2*z2^3 + 248064*sinf*z2^3 - 349440*li4half*z3 - 14560*ln2^4*z3 - 
    53760*ln2^2*z2*z3 - 80640*ln2*sinf*z2*z3 - 354720*z2^2*z3 - 
    887640*ln2*z3^2 + 551040*sinf*z3^2 - 2031120*ln2^2*z5 + 
    1223880*ln2*sinf*z5 - 5344560*z2*z5 + 12979215*z7)/53760, 
 H[1, 0, 1, -1, 0, 0, 1, 1] -> (149760*ln2*s6 - 149760*s7a - 149760*s7b + 
    268800*s6*sinf + 215040*li4half*sinf*z2 + 8960*ln2^4*sinf*z2 - 
    53760*ln2^2*sinf*z2^2 - 103968*ln2*z2^3 - 30528*sinf*z2^3 - 
    376320*li4half*z3 - 15680*ln2^4*z3 + 94080*ln2^2*z2*z3 - 
    60480*ln2*sinf*z2*z3 + 209040*z2^2*z3 - 116640*ln2*z3^2 - 
    107520*sinf*z3^2 + 224040*z2*z5 - 581565*z7)/53760, 
 H[1, 0, 1, -1, 0, 0, 0, 1] -> (-7680*ln2*s6 + 7680*s7a + 7680*s7b - 
    26880*s6*sinf + 9984*ln2*z2^3 + 2240*sinf*z2^3 + 26880*li4half*z3 + 
    1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 1956*z2^2*z3 + 9600*ln2*z3^2 + 
    5040*sinf*z3^2 + 6630*z2*z5 - 36345*z7)/6720, 
 H[1, 0, 1, -1, 0, 0, -1, 1] -> (57600*ln2*s6 - 84480*s7a + 103680*s7b + 
    161280*s6*sinf + 53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 - 
    13440*ln2^2*sinf*z2^2 + 50832*ln2*z2^3 + 17376*sinf*z2^3 - 
    47040*li4half*z3 - 1960*ln2^4*z3 + 11760*ln2^2*z2*z3 + 
    30240*ln2*sinf*z2*z3 + 11184*z2^2*z3 - 154320*ln2*z3^2 - 
    80640*sinf*z3^2 - 312480*ln2^2*z5 - 260400*ln2*sinf*z5 - 234210*z2*z5 + 
    297315*z7)/26880, H[1, 0, 1, -1, 0, -1, 1, 1] -> 
  (10321920*li7half - 2580480*li5half*ln2^2 - 860160*li4half*ln2^3 - 
    16384*ln2^7 - 1958400*ln2*s6 + 1958400*s7a - 3121920*s7b + 
    7741440*li6half*sinf - 1290240*li4half*ln2^2*sinf - 43008*ln2^6*sinf + 
    3709440*s6*sinf + 2580480*li5half*z2 + 2096640*li4half*ln2*z2 + 
    108864*ln2^5*z2 - 1290240*li4half*sinf*z2 + 107520*ln2^4*sinf*z2 - 
    309120*ln2^3*z2^2 - 895104*ln2^2*sinf*z2^2 + 847584*ln2*z2^3 - 
    578304*sinf*z2^3 + 1169280*li4half*z3 + 48720*ln2^4*z3 + 
    554400*ln2^2*z2*z3 - 483840*ln2*sinf*z2*z3 + 471168*z2^2*z3 + 
    3012480*ln2*z3^2 - 1229760*sinf*z3^2 + 8124480*ln2^2*z5 + 6126480*z2*z5 - 
    23870745*z7)/322560, H[1, 0, 1, -1, 0, -1, 0, 1] -> 
  (-32640*ln2*s6 + 32640*s7a + 32640*s7b - 53760*s6*sinf - 
    322560*li5half*z2 - 161280*li4half*ln2*z2 - 4032*ln2^5*z2 + 
    13440*ln2^3*z2^2 - 33672*ln2*z2^3 - 4928*sinf*z2^3 + 47040*li4half*z3 + 
    1960*ln2^4*z3 - 11760*ln2^2*z2*z3 + 40320*ln2*sinf*z2*z3 - 
    21564*z2^2*z3 - 6240*ln2*z3^2 + 10080*sinf*z3^2 + 250515*z2*z5 + 
    119400*z7)/13440, H[1, 0, 1, -1, 0, -1, -1, 1] -> 
  (10321920*li7half + 7741440*li6half*ln2 + 2580480*li5half*ln2^2 + 
    430080*li4half*ln2^3 + 5120*ln2^7 + 2027520*ln2*s6 + 1681920*s7a - 
    2430720*s7b + 3870720*li6half*sinf + 2580480*li5half*ln2*sinf + 
    645120*li4half*ln2^2*sinf + 10752*ln2^6*sinf + 2016000*s6*sinf - 
    1290240*li5half*z2 - 645120*li4half*ln2*z2 - 26880*ln2^5*z2 + 
    403200*li4half*sinf*z2 - 10080*ln2^4*sinf*z2 + 53760*ln2^3*z2^2 - 
    100800*ln2^2*sinf*z2^2 - 83520*ln2*z2^3 - 542880*sinf*z2^3 - 
    685440*li4half*z3 - 28560*ln2^4*z3 + 171360*ln2^2*z2*z3 + 
    665280*ln2*sinf*z2*z3 + 1154448*z2^2*z3 - 64800*ln2*z3^2 - 
    977760*sinf*z3^2 + 781200*ln2^2*z5 - 3202920*ln2*sinf*z5 + 
    8870220*z2*z5 - 22949775*z7)/161280, H[1, 0, 1, -1, -1, 1, 1, 1] -> 
  (1612800*li7half - 161280*li4half*ln2^3 - 7040*ln2^7 + 817920*ln2*s6 - 
    817920*s7a - 1140480*s7b - 2903040*li6half*sinf - 4032*ln2^6*sinf - 
    1693440*s6*sinf + 483840*li4half*ln2*z2 + 67200*ln2^5*z2 + 
    20160*ln2^4*sinf*z2 - 159936*ln2^3*z2^2 + 374976*ln2^2*sinf*z2^2 - 
    5472*ln2*z2^3 + 408960*sinf*z2^3 - 846720*li4half*z3 - 164640*ln2^4*z3 - 
    141120*ln2^3*sinf*z3 + 846720*ln2^2*z2*z3 + 362880*ln2*sinf*z2*z3 + 
    1602000*z2^2*z3 - 951840*ln2*z3^2 + 264600*sinf*z3^2 + 312480*ln2^2*z5 + 
    3360240*z2*z5 - 11378565*z7)/322560, H[1, 0, 1, -1, -1, 1, 0, 1] -> 
  (-168960*ln2*s6 + 168960*s7a + 88320*s7b + 215040*li5half*z2 - 
    80640*li4half*ln2*z2 - 5152*ln2^5*z2 + 107520*li4half*sinf*z2 + 
    4480*ln2^4*sinf*z2 + 38080*ln2^3*z2^2 - 6720*ln2^2*sinf*z2^2 + 
    101376*ln2*z2^3 - 47040*sinf*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 - 
    151200*ln2^2*z2*z3 + 60480*ln2*sinf*z2*z3 - 64368*z2^2*z3 + 
    58320*ln2*z3^2 + 26880*sinf*z3^2 + 78120*ln2^2*z5 - 597120*z2*z5 + 
    1015965*z7)/53760, H[1, 0, 1, -1, -1, 1, -1, 1] -> 
  (-5806080*li7half - 2257920*li6half*ln2 - 483840*li5half*ln2^2 + 
    161280*li4half*ln2^3 + 8768*ln2^7 - 161280*ln2*s6 - 1693440*s7a + 
    1693440*s7b - 967680*li5half*ln2*sinf + 8064*ln2^6*sinf - 
    564480*s6*sinf + 483840*li5half*z2 - 483840*li4half*ln2*z2 - 
    81984*ln2^5*z2 + 967680*li4half*sinf*z2 + 20160*ln2^4*sinf*z2 + 
    137088*ln2^3*z2^2 - 471744*ln2^2*sinf*z2^2 + 95328*ln2*z2^3 - 
    388800*sinf*z2^3 - 1693440*li4half*z3 + 58800*ln2^4*z3 + 
    141120*ln2^3*sinf*z3 - 211680*ln2^2*z2*z3 + 846720*ln2*sinf*z2*z3 + 
    338688*z2^2*z3 - 2091600*ln2*z3^2 - 105840*sinf*z3^2 - 2343600*ln2^2*z5 + 
    1874880*ln2*sinf*z5 - 6017760*z2*z5 + 13576815*z7)/322560, 
 H[1, 0, 1, -1, -1, 0, 1, 1] -> (-249600*ln2*s6 + 249600*s7a + 410880*s7b + 
    349440*s6*sinf - 430080*li5half*z2 - 322560*li4half*ln2*z2 - 
    9856*ln2^5*z2 + 44800*ln2^3*z2^2 + 20160*ln2^2*sinf*z2^2 - 
    49824*ln2*z2^3 + 38144*sinf*z2^3 + 201600*li4half*z3 + 8400*ln2^4*z3 - 
    285600*ln2^2*z2*z3 - 383040*ln2*sinf*z2*z3 - 347616*z2^2*z3 + 
    429600*ln2*z3^2 - 9240*sinf*z3^2 - 156240*ln2^2*z5 - 1069200*z2*z5 + 
    3361665*z7)/107520, H[1, 0, 1, -1, -1, 0, 0, 1] -> 
  (3840*ln2*s6 - 3840*s7a - 138240*s7b - 40320*s6*sinf + 107520*li5half*z2 - 
    896*ln2^5*z2 - 53760*li4half*sinf*z2 - 2240*ln2^4*sinf*z2 + 
    8960*ln2^3*z2^2 + 43680*ln2^2*sinf*z2^2 + 384*ln2*z2^3 + 
    21568*sinf*z2^3 - 6720*li4half*z3 - 280*ln2^4*z3 + 1680*ln2^2*z2*z3 - 
    40320*ln2*sinf*z2*z3 + 72672*z2^2*z3 + 42240*ln2*z3^2 - 1260*sinf*z3^2 + 
    130200*ln2^2*z5 + 386760*z2*z5 - 975915*z7)/26880, 
 H[1, 0, 1, -1, -1, 0, -1, 1] -> (-2580480*li7half - 1290240*li6half*ln2 - 
    215040*li5half*ln2^2 + 512*ln2^7 - 339840*ln2*s6 - 238080*s7a + 
    917760*s7b - 1290240*li6half*sinf - 430080*li5half*ln2*sinf + 
    1792*ln2^6*sinf - 430080*s6*sinf + 107520*li5half*z2 - 
    80640*li4half*ln2*z2 - 6048*ln2^5*z2 - 241920*li4half*sinf*z2 - 
    19040*ln2^4*sinf*z2 + 29120*ln2^3*z2^2 + 151872*ln2^2*sinf*z2^2 + 
    46272*ln2*z2^3 + 268256*sinf*z2^3 + 463680*li4half*z3 + 19320*ln2^4*z3 - 
    174720*ln2^2*z2*z3 - 302400*ln2*sinf*z2*z3 - 506616*z2^2*z3 + 
    4380*ln2*z3^2 + 256200*sinf*z3^2 - 1054620*ln2^2*z5 + 
    130200*ln2*sinf*z5 - 2761440*z2*z5 + 7337025*z7)/53760, 
 H[1, 0, 1, -1, -1, -1, 1, 1] -> (1182720*li7half - 107520*li5half*ln2^2 + 
    17920*li4half*ln2^3 + 1408*ln2^7 - 341760*ln2*s6 + 341760*s7a - 
    195840*s7b + 322560*li6half*sinf - 53760*li4half*ln2^2*sinf - 
    1792*ln2^6*sinf + 322560*s6*sinf + 107520*li5half*z2 + 
    107520*li4half*ln2*z2 - 4928*ln2^5*z2 - 161280*li4half*sinf*z2 - 
    13440*ln2^4*sinf*z2 - 14336*ln2^3*z2^2 - 25536*ln2^2*sinf*z2^2 + 
    59616*ln2*z2^3 + 22080*sinf*z2^3 + 201600*li4half*z3 + 51520*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 - 120960*ln2^2*z2*z3 - 282240*ln2*sinf*z2*z3 - 
    111024*z2^2*z3 + 591840*ln2*z3^2 - 15120*sinf*z3^2 + 859320*ln2^2*z5 + 
    253560*z2*z5 - 1240455*z7)/107520, H[1, 0, 1, -1, -1, -1, 0, 1] -> 
  (120960*ln2*s6 - 120960*s7a - 403200*s7b + 645120*li6half*sinf + 
    896*ln2^6*sinf - 80640*s6*sinf - 806400*li5half*z2 + 6720*ln2^5*z2 + 
    80640*li4half*sinf*z2 - 10080*ln2^4*sinf*z2 - 36960*ln2^3*z2^2 - 
    96768*ln2^2*sinf*z2^2 - 270144*ln2*z2^3 - 123552*sinf*z2^3 - 
    120960*li4half*z3 - 5040*ln2^4*z3 + 524160*ln2^2*z2*z3 + 
    453600*ln2*sinf*z2*z3 + 313992*z2^2*z3 - 433440*ln2*z3^2 - 
    182700*sinf*z3^2 + 273420*ln2^2*z5 + 2487240*z2*z5 - 3581235*z7)/161280, 
 H[1, 0, 1, -1, -1, -1, -1, 1] -> (-645120*li7half + 967680*li6half*ln2 + 
    483840*li5half*ln2^2 - 53760*li4half*ln2^3 - 4800*ln2^7 + 725760*ln2*s6 + 
    241920*s7a + 403200*s7b - 645120*li6half*sinf + 322560*li5half*ln2*sinf + 
    161280*li4half*ln2^2*sinf + 3136*ln2^6*sinf + 161280*s6*sinf - 
    161280*li5half*z2 - 161280*li4half*ln2*z2 + 25536*ln2^5*z2 - 
    161280*li4half*sinf*z2 + 13440*ln2^4*sinf*z2 + 24192*ln2^3*z2^2 + 
    245952*ln2^2*sinf*z2^2 - 3744*ln2*z2^3 + 239616*sinf*z2^3 + 
    241920*li4half*z3 - 119280*ln2^4*z3 - 141120*ln2^3*sinf*z3 + 
    151200*ln2^2*z2*z3 - 206640*z2^2*z3 - 483840*ln2*z3^2 - 42840*sinf*z3^2 - 
    1953000*ln2^2*z5 - 1562400*ln2*sinf*z5 - 408240*z2*z5 + 1955205*z7)/
   322560, H[1, 0, 0, 1, 1, 1, 1, 1] -> 
  (12*sinf*z2^3 + 84*z2^2*z3 - 35*sinf*z3^2 - 280*z7)/70, 
 H[1, 0, 0, 1, 1, 1, 0, 1] -> (-440*sinf*z2^3 - 1008*z2^2*z3 + 
    1260*sinf*z3^2 - 1680*z2*z5 + 6405*z7)/840, 
 H[1, 0, 0, 1, 1, 1, -1, 1] -> (1290240*li7half + 1290240*li6half*ln2 + 
    322560*li5half*ln2^2 - 1152*ln2^7 + 103680*ln2*s6 - 23040*s7a + 
    380160*s7b + 1290240*li6half*sinf + 645120*li5half*ln2*sinf - 
    3584*ln2^6*sinf + 564480*s6*sinf - 322560*li5half*z2 + 8064*ln2^5*z2 - 
    161280*li4half*sinf*z2 + 20160*ln2^4*sinf*z2 - 112896*ln2^3*z2^2 - 
    20160*ln2^2*sinf*z2^2 - 91296*ln2*z2^3 - 216576*sinf*z2^3 + 
    201600*li4half*z3 + 8400*ln2^4*z3 - 50400*ln2^2*z2*z3 - 
    483840*ln2*sinf*z2*z3 - 455040*z2^2*z3 + 223200*ln2*z3^2 + 
    90720*sinf*z3^2 - 234360*ln2^2*z5 + 312480*ln2*sinf*z5 - 1285560*z2*z5 + 
    2433105*z7)/322560, H[1, 0, 0, 1, 1, 0, 1, 1] -> 
  (848*sinf*z2^3 + 2520*z2^2*z3 - 2520*sinf*z3^2 - 840*z2*z5 - 7035*z7)/1680, 
 H[1, 0, 0, 1, 1, 0, 0, 1] -> (-2*z2^2*z3 + 2*sinf*z3^2 + 2*z2*z5 - z7)/4, 
 H[1, 0, 0, 1, 1, 0, -1, 1] -> (6720*ln2*s6 + 6720*s7a - 6720*s7b + 
    13440*s6*sinf - 1176*ln2*z2^3 + 4616*sinf*z2^3 + 6720*z2^2*z3 + 
    1890*ln2*z3^2 - 9870*sinf*z3^2 - 26040*ln2*sinf*z5 + 29820*z2*z5 - 
    63735*z7)/13440, H[1, 0, 0, 1, 1, -1, 1, 1] -> 
  (1290240*li7half + 322560*li5half*ln2^2 + 215040*li4half*ln2^3 + 
    6016*ln2^7 - 1405440*ln2*s6 + 1405440*s7a - 771840*s7b + 
    322560*li4half*ln2^2*sinf + 13440*ln2^6*sinf - 806400*s6*sinf - 
    322560*li5half*z2 - 645120*li4half*ln2*z2 - 45696*ln2^5*z2 - 
    645120*li4half*sinf*z2 - 107520*ln2^4*sinf*z2 + 392448*ln2^3*z2^2 + 
    266112*ln2^2*sinf*z2^2 + 165024*ln2*z2^3 + 247680*sinf*z2^3 + 
    1774080*li4half*z3 + 73920*ln2^4*z3 - 443520*ln2^2*z2*z3 + 
    60480*ln2*sinf*z2*z3 + 16272*z2^2*z3 + 1756800*ln2*z3^2 - 
    153720*sinf*z3^2 + 1874880*ln2^2*z5 + 2569680*z2*z5 - 5666445*z7)/322560, 
 H[1, 0, 0, 1, 1, -1, 0, 1] -> (82560*ln2*s6 - 82560*s7a + 51840*s7b + 
    67200*s6*sinf + 80640*li5half*z2 + 80640*li4half*ln2*z2 + 2688*ln2^5*z2 + 
    26880*li4half*sinf*z2 + 1120*ln2^4*sinf*z2 - 13440*ln2^3*z2^2 - 
    36960*ln2^2*sinf*z2^2 + 13632*ln2*z2^3 - 9824*sinf*z2^3 - 
    87360*li4half*z3 - 3640*ln2^4*z3 + 21840*ln2^2*z2*z3 - 5412*z2^2*z3 - 
    103200*ln2*z3^2 - 840*sinf*z3^2 - 130200*ln2^2*z5 - 239430*z2*z5 + 
    299385*z7)/26880, H[1, 0, 0, 1, 1, -1, -1, 1] -> 
  (645120*li7half + 322560*li6half*ln2 - 26880*li4half*ln2^3 - 800*ln2^7 + 
    120960*ln2*s6 + 100800*s7a - 181440*s7b + 322560*li6half*sinf + 
    80640*li5half*ln2*sinf - 40320*li4half*ln2^2*sinf - 1904*ln2^6*sinf + 
    221760*s6*sinf - 40320*li5half*z2 + 40320*li4half*ln2*z2 + 
    4704*ln2^5*z2 + 40320*li4half*sinf*z2 + 11760*ln2^4*sinf*z2 - 
    34944*ln2^3*z2^2 - 42336*ln2^2*sinf*z2^2 - 14688*ln2*z2^3 - 
    44640*sinf*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 15120*ln2^2*z2*z3 + 
    70938*z2^2*z3 + 47250*ln2*z3^2 - 79065*sinf*z3^2 + 253890*ln2^2*z5 - 
    97650*ln2*sinf*z5 + 590625*z2*z5 - 1522710*z7)/40320, 
 H[1, 0, 0, 1, 0, 1, 1, 1] -> (-116*sinf*z2^3 - 612*z2^2*z3 + 360*sinf*z3^2 + 
    1965*z7)/120, H[1, 0, 0, 1, 0, 1, 0, 1] -> 
  (640*sinf*z2^3 + 1736*z2^2*z3 - 2240*sinf*z3^2 + 3080*z2*z5 - 10185*z7)/
   560, H[1, 0, 0, 1, 0, 1, -1, 1] -> 
  (211200*ln2*s6 + 57600*s7a - 291840*s7b + 53760*s6*sinf + 
    107520*li4half*sinf*z2 + 4480*ln2^4*sinf*z2 - 26880*ln2^2*sinf*z2^2 - 
    27456*ln2*z2^3 - 544*sinf*z2^3 - 134400*li4half*z3 - 5600*ln2^4*z3 + 
    33600*ln2^2*z2*z3 + 241920*ln2*sinf*z2*z3 + 220992*z2^2*z3 - 
    158160*ln2*z3^2 - 122640*sinf*z3^2 + 156240*ln2^2*z5 - 
    364560*ln2*sinf*z5 + 1050480*z2*z5 - 2066985*z7)/53760, 
 H[1, 0, 0, 1, 0, 0, 1, 1] -> (-32*sinf*z2^3 - 140*z2^2*z3 + 140*sinf*z3^2 + 
    1260*z2*z5 - 1785*z7)/280, H[1, 0, 0, 1, 0, 0, 0, 1] -> 
  (-80*sinf*z2^3 - 14*z2^2*z3 - 210*z2*z5 + 595*z7)/35, 
 H[1, 0, 0, 1, 0, 0, -1, 1] -> (-10880*ln2*s6 - 16000*s7a + 10880*s7b - 
    26880*s6*sinf + 1904*ln2*z2^3 - 7024*sinf*z2^3 - 7552*z2^2*z3 - 
    3060*ln2*z3^2 + 14700*sinf*z3^2 + 52080*ln2*sinf*z5 - 48760*z2*z5 + 
    83725*z7)/4480, H[1, 0, 0, 1, 0, -1, 1, 1] -> 
  (45120*ln2*s6 - 45120*s7a - 24960*s7b + 33600*s6*sinf + 
    53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 - 13440*ln2^2*sinf*z2^2 - 
    10272*ln2*z2^3 - 16096*sinf*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 
    26880*ln2^2*z2*z3 + 10080*ln2*sinf*z2*z3 + 38424*z2^2*z3 - 
    56400*ln2*z3^2 - 2940*sinf*z3^2 - 39060*ln2^2*z5 + 92220*z2*z5 - 
    179265*z7)/13440, H[1, 0, 0, 1, 0, -1, 0, 1] -> 
  (-160*sinf*z2^3 + 4816*z2^2*z3 - 3360*sinf*z3^2 - 18900*z2*z5 + 25165*z7)/
   8960, H[1, 0, 0, 1, 0, -1, -1, 1] -> 
  (-51840*ln2*s6 - 55680*s7a + 51840*s7b - 67200*s6*sinf + 9072*ln2*z2^3 - 
    16528*sinf*z2^3 - 21456*z2^2*z3 - 14580*ln2*z3^2 + 32340*sinf*z3^2 + 
    130200*ln2*sinf*z5 - 220740*z2*z5 + 358185*z7)/26880, 
 H[1, 0, 0, 1, -1, 1, 1, 1] -> (-967680*li7half + 192*ln2^7 + 604800*ln2*s6 - 
    604800*s7a + 725760*s7b - 645120*li6half*sinf - 896*ln2^6*sinf + 
    362880*s6*sinf - 4032*ln2^5*z2 + 483840*li4half*sinf*z2 + 
    33600*ln2^4*sinf*z2 - 129024*ln2^3*z2^2 - 135072*ln2^2*sinf*z2^2 - 
    139968*ln2*z2^3 - 114624*sinf*z2^3 - 967680*li4half*z3 - 5040*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 + 30240*ln2^2*z2*z3 - 141120*ln2*sinf*z2*z3 - 
    568512*z2^2*z3 - 756000*ln2*z3^2 + 279720*sinf*z3^2 - 1288980*ln2^2*z5 - 
    2173500*z2*z5 + 6767775*z7)/161280, H[1, 0, 0, 1, -1, 1, 0, 1] -> 
  (-149760*ln2*s6 + 149760*s7a - 387840*s7b - 268800*s6*sinf + 
    107520*li5half*z2 - 896*ln2^5*z2 + 8960*ln2^3*z2^2 + 
    120960*ln2^2*sinf*z2^2 - 21696*ln2*z2^3 + 17600*sinf*z2^3 + 
    94080*ln2^2*z2*z3 + 47040*ln2*sinf*z2*z3 + 246576*z2^2*z3 + 
    187200*ln2*z3^2 - 26880*sinf*z3^2 + 520800*ln2^2*z5 + 1289640*z2*z5 - 
    2892045*z7)/53760, H[1, 0, 0, 1, -1, 1, -1, 1] -> 
  (107520*li7half - 215040*li6half*ln2 - 53760*li5half*ln2^2 + 128*ln2^7 - 
    184320*ln2*s6 + 170880*s7a - 245760*s7b - 107520*li5half*ln2*sinf + 
    896*ln2^6*sinf + 53760*li5half*z2 - 8960*ln2^4*sinf*z2 + 
    61824*ln2^3*z2^2 + 14784*ln2^2*sinf*z2^2 + 36096*ln2*z2^3 + 
    21312*sinf*z2^3 - 11760*ln2^4*z3 - 15680*ln2^3*sinf*z3 + 
    70560*ln2^2*z2*z3 + 127680*ln2*sinf*z2*z3 + 124752*z2^2*z3 + 
    65760*ln2*z3^2 - 50400*sinf*z3^2 + 286440*ln2^2*z5 - 234360*ln2*sinf*z5 + 
    852120*z2*z5 - 1753545*z7)/53760, H[1, 0, 0, 1, -1, 0, 1, 1] -> 
  (-21120*ln2*s6 + 21120*s7a + 21120*s7b - 134400*s6*sinf - 
    53760*li5half*z2 + 448*ln2^5*z2 - 107520*li4half*sinf*z2 - 
    4480*ln2^4*sinf*z2 - 4480*ln2^3*z2^2 + 26880*ln2^2*sinf*z2^2 + 
    29808*ln2*z2^3 + 26848*sinf*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 - 
    30240*ln2^2*z2*z3 + 47040*ln2*sinf*z2*z3 - 37656*z2^2*z3 + 
    26400*ln2*z3^2 + 5460*sinf*z3^2 + 68580*z2*z5 - 159195*z7)/26880, 
 H[1, 0, 0, 1, -1, 0, 0, 1] -> (-1120*ln2*s6 + 1120*s7a + 1120*s7b + 
    6720*s6*sinf - 2324*ln2*z2^3 - 888*sinf*z2^3 - 1820*z2^2*z3 + 
    1400*ln2*z3^2 - 1365*sinf*z3^2 - 9275*z2*z5 + 26985*z7)/1120, 
 H[1, 0, 0, 1, -1, 0, -1, 1] -> (26880*ln2*s6 - 53760*s7a - 134400*s7b - 
    107520*s6*sinf - 26880*li5half*z2 + 224*ln2^5*z2 + 
    53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 - 2240*ln2^3*z2^2 - 
    13440*ln2^2*sinf*z2^2 - 62496*ln2*z2^3 - 45184*sinf*z2^3 - 
    67200*li4half*z3 - 2800*ln2^4*z3 + 28560*ln2^2*z2*z3 + 
    23520*ln2*sinf*z2*z3 + 57792*z2^2*z3 + 28140*ln2*z3^2 + 41160*sinf*z3^2 + 
    208320*ln2^2*z5 + 260400*ln2*sinf*z5 + 332430*z2*z5 - 582225*z7)/26880, 
 H[1, 0, 0, 1, -1, -1, 1, 1] -> (-4515840*li7half + 967680*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 1792*ln2^7 + 1463040*ln2*s6 - 1463040*s7a + 
    794880*s7b - 2580480*li6half*sinf + 322560*li4half*ln2^2*sinf + 
    9856*ln2^6*sinf - 1774080*s6*sinf - 967680*li5half*z2 - 
    645120*li4half*ln2*z2 - 10752*ln2^5*z2 + 322560*li4half*sinf*z2 - 
    13440*ln2^4*sinf*z2 + 80640*ln2^3*z2^2 + 270144*ln2^2*sinf*z2^2 - 
    371808*ln2*z2^3 + 205632*sinf*z2^3 - 161280*li4half*z3 - 77280*ln2^4*z3 - 
    94080*ln2^3*sinf*z3 + 181440*ln2^2*z2*z3 + 786240*ln2*sinf*z2*z3 + 
    233136*z2^2*z3 - 1828800*ln2*z3^2 + 274680*sinf*z3^2 - 3515400*ln2^2*z5 - 
    1077480*z2*z5 + 5608755*z7)/322560, H[1, 0, 0, 1, -1, -1, 0, 1] -> 
  (55680*ln2*s6 - 55680*s7a + 78720*s7b + 94080*s6*sinf + 188160*li5half*z2 + 
    80640*li4half*ln2*z2 + 1792*ln2^5*z2 + 26880*li4half*sinf*z2 + 
    1120*ln2^4*sinf*z2 - 4480*ln2^3*z2^2 - 36960*ln2^2*sinf*z2^2 + 
    43872*ln2*z2^3 - 9136*sinf*z2^3 - 87360*li4half*z3 - 3640*ln2^4*z3 - 
    25200*ln2^2*z2*z3 - 23520*ln2*sinf*z2*z3 - 12468*z2^2*z3 - 
    69600*ln2*z3^2 + 2100*sinf*z3^2 - 130200*ln2^2*z5 - 504030*z2*z5 + 
    603465*z7)/26880, H[1, 0, 0, 1, -1, -1, -1, 1] -> 
  (-1935360*li7half - 2580480*li6half*ln2 - 1290240*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 1408*ln2^7 - 702720*ln2*s6 - 1071360*s7a + 
    218880*s7b - 645120*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 
    8064*ln2^6*sinf - 483840*s6*sinf + 322560*li5half*z2 + 
    322560*li4half*ln2*z2 + 2688*ln2^5*z2 + 483840*li4half*sinf*z2 + 
    47040*ln2^4*sinf*z2 - 139776*ln2^3*z2^2 - 318528*ln2^2*sinf*z2^2 - 
    48672*ln2*z2^3 - 321408*sinf*z2^3 - 685440*li4half*z3 + 42000*ln2^4*z3 + 
    94080*ln2^3*sinf*z3 + 30240*ln2^2*z2*z3 + 120528*z2^2*z3 - 
    144720*ln2*z3^2 + 254520*sinf*z3^2 + 1328040*ln2^2*z5 + 
    2499840*ln2*sinf*z5 - 1933200*z2*z5 + 4014405*z7)/322560, 
 H[1, 0, 0, 0, 1, 1, 1, 1] -> (184*sinf*z2^3 + 1176*z2^2*z3 - 560*sinf*z3^2 - 
    3815*z7)/560, H[1, 0, 0, 0, 1, 1, 0, 1] -> 
  (-320*sinf*z2^3 - 1008*z2^2*z3 + 840*sinf*z3^2 - 1680*z2*z5 + 6405*z7)/840, 
 H[1, 0, 0, 0, 1, 1, -1, 1] -> (-16800*ln2*s6 + 6720*s7b - 10080*s6*sinf - 
    6720*li4half*sinf*z2 - 280*ln2^4*sinf*z2 + 4200*ln2^2*sinf*z2^2 - 
    912*ln2*z2^3 + 72*sinf*z2^3 + 8400*li4half*z3 + 350*ln2^4*z3 + 
    2940*ln2^2*z2*z3 - 10080*ln2*sinf*z2*z3 - 7980*z2^2*z3 + 14385*ln2*z3^2 + 
    6825*sinf*z3^2 + 3255*ln2^2*z5 + 19530*ln2*sinf*z5 - 29715*z2*z5 + 
    59220*z7)/6720, H[1, 0, 0, 0, 1, 0, 1, 1] -> 
  (-512*sinf*z2^3 - 1176*z2^2*z3 + 1680*sinf*z3^2 - 5040*z2*z5 + 12075*z7)/
   1680, H[1, 0, 0, 0, 1, 0, 0, 1] -> 
  (2*(40*sinf*z2^3 + 21*z2^2*z3 + 70*z2*z5 - 315*z7))/35, 
 H[1, 0, 0, 0, 1, 0, -1, 1] -> (7680*ln2*s6 + 99840*s7a - 7680*s7b + 
    107520*s6*sinf - 1344*ln2*z2^3 + 28256*sinf*z2^3 + 23712*z2^2*z3 + 
    2160*ln2*z3^2 - 55440*sinf*z3^2 - 208320*ln2*sinf*z5 + 89760*z2*z5 - 
    132705*z7)/26880, H[1, 0, 0, 0, 1, -1, 1, 1] -> 
  (3840*ln2*s6 - 3840*s7a + 67840*s7b + 44800*s6*sinf - 
    13440*ln2^2*sinf*z2^2 + 2400*ln2*z2^3 - 768*sinf*z2^3 - 
    26880*ln2^2*z2*z3 - 20160*ln2*sinf*z2*z3 - 45040*z2^2*z3 - 
    4800*ln2*z3^2 + 3080*sinf*z3^2 - 52080*ln2^2*z5 - 218880*z2*z5 + 
    488205*z7)/17920, H[1, 0, 0, 0, 1, -1, 0, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b - 53760*s6*sinf + 25392*ln2*z2^3 + 
    7184*sinf*z2^3 + 17772*z2^2*z3 - 19200*ln2*z3^2 + 12600*sinf*z3^2 + 
    85020*z2*z5 - 264885*z7)/13440, H[1, 0, 0, 0, 1, -1, -1, 1] -> 
  (-28800*ln2*s6 + 96000*s7a - 11520*s7b + 26880*s6*sinf - 
    26880*li4half*sinf*z2 - 1120*ln2^4*sinf*z2 + 16800*ln2^2*sinf*z2^2 + 
    5472*ln2*z2^3 + 23616*sinf*z2^3 + 33600*li4half*z3 + 1400*ln2^4*z3 + 
    11760*ln2^2*z2*z3 + 7848*z2^2*z3 + 21300*ln2*z3^2 - 25200*sinf*z3^2 + 
    13020*ln2^2*z5 - 130200*ln2*sinf*z5 + 102300*z2*z5 - 153225*z7)/26880, 
 H[1, 0, 0, 0, 0, 1, 1, 1] -> (12*sinf*z2^3 + 42*z2^2*z3 - 35*sinf*z3^2 - 
    140*z7)/70, H[1, 0, 0, 0, 0, 1, 0, 1] -> 
  (-40*sinf*z2^3 - 42*z2^2*z3 - 35*z2*z5 + 350*z7)/35, 
 H[1, 0, 0, 0, 0, 1, -1, 1] -> (-1120*s7b - 1260*ln2*z2^3 - 444*sinf*z2^3 - 
    504*z2^2*z3 + 1715*ln2*z3^2 + 315*sinf*z3^2 + 2170*ln2^2*z5 + 
    2170*ln2*sinf*z5 + 2240*z2*z5)/1120, H[1, 0, 0, 0, 0, 0, 1, 1] -> 
  (8*sinf*z2^3 + 14*z2^2*z3 + 35*z2*z5 - 140*z7)/35, 
 H[1, 0, 0, 0, 0, 0, 0, 1] -> z7, H[1, 0, 0, 0, 0, 0, -1, 1] -> 
  (992*sinf*z2^3 + 1568*z2^2*z3 + 2240*z2*z5 - 13195*z7)/4480, 
 H[1, 0, 0, 0, 0, -1, 1, 1] -> (4480*ln2*s6 - 4480*s7a - 4480*s6*sinf + 
    4256*ln2*z2^3 + 1024*sinf*z2^3 + 4144*z2^2*z3 - 5600*ln2*z3^2 - 
    8680*ln2^2*z5 + 4200*z2*z5 - 31115*z7)/4480, 
 H[1, 0, 0, 0, 0, -1, 0, 1] -> (-4960*sinf*z2^3 - 4704*z2^2*z3 - 8540*z2*z5 + 
    48545*z7)/4480, H[1, 0, 0, 0, 0, -1, -1, 1] -> 
  (-8960*s7a - 4480*s6*sinf - 1472*sinf*z2^3 - 1568*z2^2*z3 + 
    3360*sinf*z3^2 + 8680*ln2*sinf*z5 - 4620*z2*z5 + 4235*z7)/4480, 
 H[1, 0, 0, 0, -1, 1, 1, 1] -> (-9120*ln2*s6 + 9120*s7a - 7680*s7b - 
    16800*s6*sinf - 13440*li4half*sinf*z2 - 560*ln2^4*sinf*z2 + 
    5880*ln2^2*sinf*z2^2 + 4296*ln2*z2^3 + 5184*sinf*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 1680*ln2^2*z2*z3 + 7500*z2^2*z3 + 
    11400*ln2*z3^2 - 1680*sinf*z3^2 + 16275*ln2^2*z5 + 23085*z2*z5 - 
    88500*z7)/6720, H[1, 0, 0, 0, -1, 1, 0, 1] -> 
  (-15360*ln2*s6 + 15360*s7a + 15360*s7b + 53760*s6*sinf - 25392*ln2*z2^3 - 
    9184*sinf*z2^3 - 27264*z2^2*z3 + 19200*ln2*z3^2 - 10080*sinf*z3^2 - 
    83340*z2*z5 + 299955*z7)/13440, H[1, 0, 0, 0, -1, 1, -1, 1] -> 
  (10880*ln2*s6 - 24320*s7a + 24960*s7b - 6720*ln2^2*sinf*z2^2 - 
    368*ln2*z2^3 - 4112*sinf*z2^3 - 13440*ln2^2*z2*z3 - 
    10080*ln2*sinf*z2*z3 - 16136*z2^2*z3 + 120*ln2*z3^2 + 6720*sinf*z3^2 - 
    26040*ln2^2*z5 + 43400*ln2*sinf*z5 - 96560*z2*z5 + 185985*z7)/8960, 
 H[1, 0, 0, 0, -1, 0, 1, 1] -> (-6208*sinf*z2^3 - 18144*z2^2*z3 + 
    20160*sinf*z3^2 - 49560*z2*z5 + 140175*z7)/26880, 
 H[1, 0, 0, 0, -1, 0, 0, 1] -> (9920*sinf*z2^3 + 4704*z2^2*z3 + 16800*z2*z5 - 
    74935*z7)/4480, H[1, 0, 0, 0, -1, 0, -1, 1] -> 
  (107520*s7a + 107520*s6*sinf + 29728*sinf*z2^3 + 22176*z2^2*z3 - 
    60480*sinf*z3^2 - 208320*ln2*sinf*z5 + 82740*z2*z5 - 111825*z7)/26880, 
 H[1, 0, 0, 0, -1, -1, 1, 1] -> (-33600*ln2*s6 + 33600*s7a - 13440*s6*sinf - 
    26880*li4half*sinf*z2 - 1120*ln2^4*sinf*z2 + 11760*ln2^2*sinf*z2^2 + 
    3360*ln2*z2^3 + 6096*sinf*z2^3 + 53760*li4half*z3 + 2240*ln2^4*z3 - 
    3360*ln2^2*z2*z3 - 20160*ln2*sinf*z2*z3 - 27384*z2^2*z3 + 
    42000*ln2*z3^2 + 15120*sinf*z3^2 + 32550*ln2^2*z5 + 1050*z2*z5 + 
    42315*z7)/13440, H[1, 0, 0, 0, -1, -1, 0, 1] -> 
  (200*sinf*z2^3 + 288*z2^2*z3 - 720*sinf*z3^2 + 870*z2*z5 - 2205*z7)/960, 
 H[1, 0, 0, 0, -1, -1, -1, 1] -> (1680*s7a + 1680*s6*sinf + 472*sinf*z2^3 + 
    336*z2^2*z3 - 980*sinf*z3^2 - 3255*ln2*sinf*z5 + 1680*z2*z5 - 2345*z7)/
   1120, H[1, 0, 0, -1, 1, 1, 1, 1] -> 
  (322560*li7half - 64*ln2^7 - 403200*ln2*s6 + 403200*s7a - 80640*s7b + 
    322560*li6half*sinf + 448*ln2^6*sinf - 322560*s6*sinf + 1344*ln2^5*z2 - 
    483840*li4half*sinf*z2 - 26880*ln2^4*sinf*z2 + 43008*ln2^3*z2^2 + 
    112896*ln2^2*sinf*z2^2 + 181728*ln2*z2^3 + 123264*sinf*z2^3 + 
    967680*li4half*z3 + 28560*ln2^4*z3 - 171360*ln2^2*z2*z3 + 
    151200*z2^2*z3 + 504000*ln2*z3^2 - 80640*sinf*z3^2 + 468720*ln2^2*z5 + 
    252000*z2*z5 - 2110185*z7)/161280, H[1, 0, 0, -1, 1, 1, 0, 1] -> 
  (46080*ln2*s6 - 46080*s7a + 88320*s7b + 67200*s6*sinf - 53760*li5half*z2 + 
    448*ln2^5*z2 - 4480*ln2^3*z2^2 - 30240*ln2^2*sinf*z2^2 - 12192*ln2*z2^3 - 
    12800*sinf*z2^3 - 11760*ln2^2*z2*z3 - 77136*z2^2*z3 - 51720*ln2*z3^2 + 
    19740*sinf*z3^2 - 130200*ln2^2*z5 - 314040*z2*z5 + 830115*z7)/26880, 
 H[1, 0, 0, -1, 1, 1, -1, 1] -> (-1935360*li7half - 1290240*li6half*ln2 - 
    322560*li5half*ln2^2 + 1280*ln2^7 - 933120*ln2*s6 - 599040*s7a + 
    1416960*s7b - 1935360*li6half*sinf - 645120*li5half*ln2*sinf + 
    2688*ln2^6*sinf - 1370880*s6*sinf + 322560*li5half*z2 - 10752*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 26880*ln2^4*sinf*z2 + 26880*ln2^3*z2^2 + 
    157248*ln2^2*sinf*z2^2 + 14112*ln2*z2^3 + 179136*sinf*z2^3 + 
    403200*li4half*z3 + 40320*ln2^4*z3 - 241920*ln2^2*z2*z3 - 
    786240*ln2*sinf*z2*z3 - 838800*z2^2*z3 + 531360*ln2*z3^2 + 
    776160*sinf*z3^2 - 703080*ln2^2*z5 + 2499840*ln2*sinf*z5 - 
    5475240*z2*z5 + 11529855*z7)/322560, H[1, 0, 0, -1, 1, 0, 1, 1] -> 
  (149760*ln2*s6 - 149760*s7a - 149760*s7b + 268800*s6*sinf + 
    107520*li5half*z2 - 896*ln2^5*z2 + 322560*li4half*sinf*z2 + 
    13440*ln2^4*sinf*z2 + 8960*ln2^3*z2^2 - 80640*ln2^2*sinf*z2^2 - 
    78432*ln2*z2^3 - 73024*sinf*z2^3 - 645120*li4half*z3 - 26880*ln2^4*z3 + 
    114240*ln2^2*z2*z3 + 272208*z2^2*z3 - 210720*ln2*z3^2 - 78960*sinf*z3^2 + 
    154320*z2*z5 - 581565*z7)/53760, H[1, 0, 0, -1, 1, 0, 0, 1] -> 
  (-13440*ln2*s6 + 13440*s7a + 13440*s7b - 80640*s6*sinf + 32592*ln2*z2^3 + 
    10656*sinf*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 + 
    756*z2^2*z3 - 840*ln2*z3^2 + 26460*sinf*z3^2 + 18900*z2*z5 - 142905*z7)/
   13440, H[1, 0, 0, -1, 1, 0, -1, 1] -> 
  (-18240*ln2*s6 + 31680*s7a + 72000*s7b + 53760*s6*sinf + 13440*li5half*z2 - 
    112*ln2^5*z2 - 13440*li4half*sinf*z2 - 560*ln2^4*sinf*z2 + 
    1120*ln2^3*z2^2 + 3360*ln2^2*sinf*z2^2 + 32088*ln2*z2^3 + 
    21016*sinf*z2^3 + 16800*li4half*z3 + 700*ln2^4*z3 - 10080*ln2^2*z2*z3 - 
    12888*z2^2*z3 - 30120*ln2*z3^2 - 31500*sinf*z3^2 - 104160*ln2^2*z5 - 
    130200*ln2*sinf*z5 - 183360*z2*z5 + 290145*z7)/13440, 
 H[1, 0, 0, -1, 1, -1, 1, 1] -> (-120960*li7half - 20160*li5half*ln2^2 - 
    13440*li4half*ln2^3 - 368*ln2^7 + 74880*ln2*s6 - 74880*s7a + 86400*s7b - 
    40320*li6half*sinf - 20160*li4half*ln2^2*sinf - 896*ln2^6*sinf + 
    45360*s6*sinf + 20160*li5half*z2 + 40320*li4half*ln2*z2 + 2688*ln2^5*z2 + 
    20160*li4half*sinf*z2 + 6720*ln2^4*sinf*z2 - 29904*ln2^3*z2^2 - 
    10584*ln2^2*sinf*z2^2 - 14544*ln2*z2^3 + 2412*sinf*z2^3 - 
    70560*li4half*z3 - 1470*ln2^4*z3 + 8820*ln2^2*z2*z3 - 
    30240*ln2*sinf*z2*z3 - 19926*z2^2*z3 - 84780*ln2*z3^2 + 3780*sinf*z3^2 - 
    107415*ln2^2*z5 - 307665*z2*z5 + 645345*z7)/20160, 
 H[1, 0, 0, -1, 1, -1, 0, 1] -> (-155520*ln2*s6 + 155520*s7a - 113280*s7b - 
    134400*s6*sinf - 26880*li5half*z2 - 80640*li4half*ln2*z2 - 
    3136*ln2^5*z2 - 26880*li4half*sinf*z2 - 1120*ln2^4*sinf*z2 + 
    17920*ln2^3*z2^2 + 67200*ln2^2*sinf*z2^2 + 3264*ln2*z2^3 + 
    8624*sinf*z2^3 + 87360*li4half*z3 + 3640*ln2^4*z3 - 10080*ln2^2*z2*z3 + 
    25344*z2^2*z3 + 147360*ln2*z3^2 + 20160*sinf*z3^2 + 260400*ln2^2*z5 + 
    456660*z2*z5 - 760215*z7)/26880, H[1, 0, 0, -1, 1, -1, -1, 1] -> 
  (-4515840*li7half - 2580480*li6half*ln2 + 215040*li4half*ln2^3 + 
    6272*ln2^7 - 1497600*ln2*s6 + 852480*s7a + 1578240*s7b - 
    1935360*li6half*sinf - 645120*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 16128*ln2^6*sinf - 564480*s6*sinf + 
    322560*li5half*z2 - 322560*li4half*ln2*z2 - 34944*ln2^5*z2 - 
    483840*li4half*sinf*z2 - 114240*ln2^4*sinf*z2 + 365568*ln2^3*z2^2 + 
    362880*ln2^2*sinf*z2^2 + 314208*ln2*z2^3 + 628416*sinf*z2^3 + 
    685440*li4half*z3 + 5040*ln2^4*z3 - 30240*ln2^2*z2*z3 - 396288*z2^2*z3 - 
    244800*ln2*z3^2 - 85680*sinf*z3^2 - 2187360*ln2^2*z5 - 
    1406160*ln2*sinf*z5 - 3955680*z2*z5 + 10855125*z7)/322560, 
 H[1, 0, 0, -1, 0, 1, 1, 1] -> (-6720*ln2*s6 + 6720*s7a + 6720*s7b + 
    1176*ln2*z2^3 - 3224*sinf*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 
    3360*ln2^2*z2*z3 - 30450*z2^2*z3 + 9870*ln2*z3^2 + 9975*sinf*z3^2 - 
    19740*z2*z5 + 116865*z7)/6720, H[1, 0, 0, -1, 0, 1, 0, 1] -> 
  (107520*ln2*s6 - 107520*s7a - 107520*s7b - 18816*ln2*z2^3 + 
    12480*sinf*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 26880*ln2^2*z2*z3 + 
    110040*z2^2*z3 - 63840*ln2*z3^2 - 45360*sinf*z3^2 + 428400*z2*z5 - 
    967995*z7)/26880, H[1, 0, 0, -1, 0, 1, -1, 1] -> 
  (94080*ln2*s6 - 26880*s7a - 127680*s7b + 13440*s6*sinf + 
    40320*li4half*ln2*z2 + 1680*ln2^5*z2 + 26880*li4half*sinf*z2 + 
    1120*ln2^4*sinf*z2 - 10080*ln2^3*z2^2 - 6720*ln2^2*sinf*z2^2 - 
    34680*ln2*z2^3 - 6824*sinf*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 
    50400*ln2^2*z2*z3 + 45360*ln2*sinf*z2*z3 + 63252*z2^2*z3 - 
    39690*ln2*z3^2 - 8820*sinf*z3^2 + 65100*ln2^2*z5 - 65100*ln2*sinf*z5 + 
    410760*z2*z5 - 769125*z7)/13440, H[1, 0, 0, -1, 0, 0, 1, 1] -> 
  (-26880*ln2*s6 + 26880*s7a + 26880*s7b + 4704*ln2*z2^3 + 1536*sinf*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 17808*z2^2*z3 + 
    15960*ln2*z3^2 - 3780*sinf*z3^2 - 9240*z2*z5 + 46515*z7)/13440, 
 H[1, 0, 0, -1, 0, 0, 0, 1] -> (-9920*sinf*z2^3 - 4088*z2^2*z3 - 
    25200*z2*z5 + 79415*z7)/4480, H[1, 0, 0, -1, 0, 0, -1, 1] -> 
  (-7680*ln2*s6 - 5760*s7a + 7680*s7b - 13440*s6*sinf + 1344*ln2*z2^3 - 
    3016*sinf*z2^3 + 3360*li4half*z3 + 140*ln2^4*z3 - 840*ln2^2*z2*z3 - 
    4546*z2^2*z3 + 780*ln2*z3^2 + 5670*sinf*z3^2 + 26040*ln2*sinf*z5 - 
    30190*z2*z5 + 51155*z7)/2240, H[1, 0, 0, -1, 0, -1, 1, 1] -> 
  (24960*ln2*s6 - 24960*s7a + 42240*s7b + 40320*s6*sinf - 
    80640*li4half*ln2*z2 - 3360*ln2^5*z2 + 107520*li4half*sinf*z2 + 
    4480*ln2^4*sinf*z2 + 20160*ln2^3*z2^2 - 26880*ln2^2*sinf*z2^2 + 
    32064*ln2*z2^3 - 21568*sinf*z2^3 - 127680*li4half*z3 - 5320*ln2^4*z3 - 
    38640*ln2^2*z2*z3 + 50400*ln2*sinf*z2*z3 + 60264*z2^2*z3 - 
    78240*ln2*z3^2 - 49140*sinf*z3^2 - 130200*ln2^2*z5 - 61080*z2*z5 + 
    15615*z7)/26880, H[1, 0, 0, -1, 0, -1, 0, 1] -> 
  (5120*ln2*s6 - 5120*s7a - 5120*s7b - 896*ln2*z2^3 - 800*sinf*z2^3 - 
    3840*li4half*z3 - 160*ln2^4*z3 + 960*ln2^2*z2*z3 + 1616*z2^2*z3 - 
    1920*ln2*z3^2 + 2160*sinf*z3^2 + 10300*z2*z5 - 18995*z7)/1280, 
 H[1, 0, 0, -1, 0, -1, -1, 1] -> (-1920*ln2*s6 - 38400*s7a + 1920*s7b - 
    23520*s6*sinf + 336*ln2*z2^3 - 7280*sinf*z2^3 + 1680*li4half*z3 + 
    70*ln2^4*z3 - 420*ln2^2*z2*z3 - 8490*z2^2*z3 + 930*ln2*z3^2 + 
    15855*sinf*z3^2 + 45570*ln2*sinf*z5 - 29685*z2*z5 + 37980*z7)/6720, 
 H[1, 0, 0, -1, -1, 1, 1, 1] -> (107520*li7half + 8960*li4half*ln2^3 + 
    352*ln2^7 - 90240*ln2*s6 + 90240*s7a - 3840*s7b + 80640*li6half*sinf + 
    112*ln2^6*sinf + 20160*s6*sinf - 26880*li4half*ln2*z2 - 2912*ln2^5*z2 - 
    26880*li4half*sinf*z2 - 2800*ln2^4*sinf*z2 + 13888*ln2^3*z2^2 - 
    336*ln2^2*sinf*z2^2 + 24672*ln2*z2^3 - 4992*sinf*z2^3 + 
    100800*li4half*z3 + 8120*ln2^4*z3 + 3920*ln2^3*sinf*z3 - 
    42840*ln2^2*z2*z3 - 11760*ln2*sinf*z2*z3 - 58536*z2^2*z3 + 
    109860*ln2*z3^2 + 420*sinf*z3^2 + 91140*ln2^2*z5 + 14220*z2*z5 + 
    10455*z7)/13440, H[1, 0, 0, -1, -1, 1, 0, 1] -> 
  (45120*ln2*s6 - 45120*s7a - 11520*s7b + 10080*s6*sinf - 26880*li5half*z2 + 
    13440*li4half*ln2*z2 + 784*ln2^5*z2 - 5600*ln2^3*z2^2 - 
    7560*ln2^2*sinf*z2^2 - 15312*ln2*z2^3 - 352*sinf*z2^3 - 
    26880*li4half*z3 - 1120*ln2^4*z3 + 21420*ln2^2*z2*z3 + 
    5880*ln2*sinf*z2*z3 + 16332*z2^2*z3 - 37290*ln2*z3^2 - 4725*sinf*z3^2 - 
    32550*ln2^2*z5 + 64920*z2*z5 - 107760*z7)/6720, 
 H[1, 0, 0, -1, -1, 1, -1, 1] -> (-645120*li7half + 645120*li6half*ln2 + 
    161280*li5half*ln2^2 - 107520*li4half*ln2^3 - 4800*ln2^7 + 
    1365120*ln2*s6 - 760320*s7a - 276480*s7b - 322560*li6half*sinf + 
    322560*li5half*ln2*sinf - 3136*ln2^6*sinf - 40320*s6*sinf - 
    161280*li5half*z2 + 322560*li4half*ln2*z2 + 38976*ln2^5*z2 + 
    80640*li4half*sinf*z2 + 36960*ln2^4*sinf*z2 - 223104*ln2^3*z2^2 + 
    34272*ln2^2*sinf*z2^2 - 322848*ln2*z2^3 - 23616*sinf*z2^3 - 
    262080*li4half*z3 - 57960*ln2^4*z3 - 47040*ln2^3*sinf*z3 + 
    277200*ln2^2*z2*z3 + 110880*ln2*sinf*z2*z3 + 63864*z2^2*z3 - 
    683280*ln2*z3^2 + 148680*sinf*z3^2 - 664020*ln2^2*z5 - 
    390600*ln2*sinf*z5 + 992340*z2*z5 - 1125585*z7)/161280, 
 H[1, 0, 0, -1, -1, 0, 1, 1] -> (80640*ln2*s6 - 80640*s7a - 80640*s7b + 
    107520*li5half*z2 + 107520*li4half*ln2*z2 + 3584*ln2^5*z2 + 
    53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 - 17920*ln2^3*z2^2 - 
    13440*ln2^2*sinf*z2^2 - 14112*ln2*z2^3 - 13600*sinf*z2^3 - 
    174720*li4half*z3 - 7280*ln2^4*z3 + 90720*ln2^2*z2*z3 + 
    47040*ln2*sinf*z2*z3 + 118608*z2^2*z3 - 130200*ln2*z3^2 - 
    22680*sinf*z3^2 + 171360*z2*z5 - 661815*z7)/26880, 
 H[1, 0, 0, -1, -1, 0, 0, 1] -> (-7680*ln2*s6 + 7680*s7a + 7680*s7b + 
    1344*ln2*z2^3 + 9600*li4half*z3 + 400*ln2^4*z3 - 2400*ln2^2*z2*z3 - 
    6984*z2^2*z3 + 6240*ln2*z3^2 + 540*sinf*z3^2 - 25320*z2*z5 + 55005*z7)/
   1920, H[1, 0, 0, -1, -1, 0, -1, 1] -> 
  (-30720*ln2*s6 + 3840*s7a + 30720*s7b - 26880*s6*sinf + 53760*li5half*z2 + 
    53760*li4half*ln2*z2 + 1792*ln2^5*z2 + 26880*li4half*sinf*z2 + 
    1120*ln2^4*sinf*z2 - 8960*ln2^3*z2^2 - 6720*ln2^2*sinf*z2^2 + 
    5376*ln2*z2^3 - 4448*sinf*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 
    38640*ln2^2*z2*z3 + 23520*ln2*sinf*z2*z3 + 45600*z2^2*z3 - 
    61560*ln2*z3^2 - 26040*sinf*z3^2 + 52080*ln2*sinf*z5 - 149880*z2*z5 + 
    76905*z7)/26880, H[1, 0, 0, -1, -1, -1, 1, 1] -> 
  (967680*li7half - 241920*li5half*ln2^2 - 107520*li4half*ln2^3 - 
    2656*ln2^7 - 86400*ln2*s6 + 86400*s7a - 357120*s7b + 
    483840*li6half*sinf - 80640*li4half*ln2^2*sinf - 2688*ln2^6*sinf + 
    241920*s6*sinf + 241920*li5half*z2 + 161280*li4half*ln2*z2 + 
    15456*ln2^5*z2 + 161280*li4half*sinf*z2 + 16800*ln2^4*sinf*z2 + 
    1344*ln2^3*z2^2 - 78624*ln2^2*sinf*z2^2 + 86976*ln2*z2^3 - 
    91872*sinf*z2^3 - 403200*li4half*z3 - 40320*ln2^4*z3 - 
    23520*ln2^3*sinf*z3 + 136080*ln2^2*z2*z3 + 120960*ln2*sinf*z2*z3 + 
    337032*z2^2*z3 - 15480*ln2*z3^2 - 173880*sinf*z3^2 + 546840*ln2^2*z5 + 
    945720*z2*z5 - 3276405*z7)/80640, H[1, 0, 0, -1, -1, -1, 0, 1] -> 
  (-13440*ln2*s6 + 13440*s7a + 13440*s7b - 67200*li5half*z2 - 
    67200*li4half*ln2*z2 - 2240*ln2^5*z2 - 13440*li4half*sinf*z2 - 
    560*ln2^4*sinf*z2 + 11200*ln2^3*z2^2 + 3360*ln2^2*sinf*z2^2 + 
    2352*ln2*z2^3 - 208*sinf*z2^3 + 50400*li4half*z3 + 2100*ln2^4*z3 - 
    42000*ln2^2*z2*z3 - 11760*ln2*sinf*z2*z3 - 34944*z2^2*z3 + 
    40320*ln2*z3^2 + 16590*sinf*z3^2 - 6090*z2*z5 + 177975*z7)/13440, 
 H[1, 0, 0, -1, -1, -1, -1, 1] -> (322560*li7half + 322560*li6half*ln2 + 
    161280*li5half*ln2^2 + 53760*li4half*ln2^3 + 1280*ln2^7 + 40320*ln2*s6 - 
    40320*s7b + 80640*li6half*sinf + 80640*li5half*ln2*sinf + 
    40320*li4half*ln2^2*sinf + 1120*ln2^6*sinf - 20160*s6*sinf - 
    40320*li5half*z2 - 40320*li4half*ln2*z2 - 6720*ln2^5*z2 - 
    5040*ln2^4*sinf*z2 + 6720*ln2^3*z2^2 - 7056*ln2*z2^3 - 21888*sinf*z2^3 + 
    10080*li4half*z3 + 12180*ln2^4*z3 + 11760*ln2^3*sinf*z3 - 
    20160*ln2^2*z2*z3 + 9072*z2^2*z3 + 20160*ln2*z3^2 + 5040*sinf*z3^2 + 
    39060*ln2*sinf*z5 + 100170*z2*z5 - 441945*z7)/40320, 
 H[1, 0, -1, 1, 1, 1, 1, 1] -> (-161280*li7half + 32*ln2^7 - 82560*ln2*s6 + 
    82560*s7a - 38400*s7b + 161280*li6half*sinf + 224*ln2^6*sinf - 
    26880*s6*sinf - 672*ln2^5*z2 - 53760*li4half*sinf*z2 - 
    2240*ln2^4*sinf*z2 + 8736*ln2^3*z2^2 + 9408*ln2^2*sinf*z2^2 + 
    57792*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 + 
    27168*z2^2*z3 + 103200*ln2*z3^2 - 13440*sinf*z3^2 + 117180*ln2^2*z5 + 
    116580*z2*z5 - 421605*z7)/53760, H[1, 0, -1, 1, 1, 1, 0, 1] -> 
  (391680*ln2*s6 - 391680*s7a + 1301760*s7b - 1290240*li6half*sinf - 
    1792*ln2^6*sinf + 241920*s6*sinf - 967680*li5half*z2 + 8064*ln2^5*z2 - 
    161280*li4half*sinf*z2 + 20160*ln2^4*sinf*z2 - 141120*ln2^3*z2^2 + 
    12096*ln2^2*sinf*z2^2 - 394272*ln2*z2^3 + 115200*sinf*z2^3 + 
    201600*li4half*z3 + 8400*ln2^4*z3 - 50400*ln2^2*z2*z3 - 
    483840*ln2*sinf*z2*z3 - 937728*z2^2*z3 - 489600*ln2*z3^2 + 
    453600*sinf*z3^2 - 1640520*ln2^2*z5 - 3866760*z2*z5 + 11001825*z7)/
   322560, H[1, 0, -1, 1, 1, 1, -1, 1] -> 
  (-430080*li7half - 268800*li6half*ln2 - 26880*li5half*ln2^2 - 64*ln2^7 - 
    46080*ln2*s6 - 88320*s7a + 288000*s7b - 322560*li6half*sinf - 
    53760*li5half*ln2*sinf - 134400*s6*sinf + 26880*li5half*z2 + 
    1344*ln2^5*z2 - 53760*li4half*sinf*z2 - 6720*ln2^4*sinf*z2 + 
    4032*ln2^3*z2^2 + 18816*ln2^2*sinf*z2^2 - 20256*ln2*z2^3 + 
    41088*sinf*z2^3 + 67200*li4half*z3 + 2800*ln2^4*z3 - 16800*ln2^2*z2*z3 - 
    141120*ln2*sinf*z2*z3 - 169152*z2^2*z3 - 18840*ln2*z3^2 + 
    112140*sinf*z3^2 - 234360*ln2^2*z5 + 260400*ln2*sinf*z5 - 987960*z2*z5 + 
    2326605*z7)/53760, H[1, 0, -1, 1, 1, 0, 1, 1] -> 
  (318720*ln2*s6 - 318720*s7a - 238080*s7b - 13440*s6*sinf - 
    161280*li5half*z2 + 1344*ln2^5*z2 + 295680*li4half*sinf*z2 + 
    12320*ln2^4*sinf*z2 - 13440*ln2^3*z2^2 - 63840*ln2^2*sinf*z2^2 - 
    47424*ln2*z2^3 - 67840*sinf*z2^3 - 530880*li4half*z3 - 22120*ln2^4*z3 + 
    132720*ln2^2*z2*z3 + 231840*ln2*sinf*z2*z3 + 406632*z2^2*z3 - 
    398400*ln2*z3^2 - 120540*sinf*z3^2 - 78120*ln2^2*z5 + 677520*z2*z5 - 
    1803435*z7)/53760, H[1, 0, -1, 1, 1, 0, 0, 1] -> 
  (-28320*ln2*s6 + 28320*s7a - 5280*s7b - 16800*s6*sinf + 26880*li5half*z2 - 
    224*ln2^5*z2 - 6720*li4half*sinf*z2 - 280*ln2^4*sinf*z2 + 
    2240*ln2^3*z2^2 + 9240*ln2^2*sinf*z2^2 + 11700*ln2*z2^3 + 
    2120*sinf*z2^3 + 28560*li4half*z3 + 1190*ln2^4*z3 - 7140*ln2^2*z2*z3 - 
    10080*ln2*sinf*z2*z3 - 14883*z2^2*z3 + 35400*ln2*z3^2 + 11130*sinf*z3^2 + 
    32550*ln2^2*z5 + 6165*z2*z5 - 35775*z7)/6720, 
 H[1, 0, -1, 1, 1, 0, -1, 1] -> (-1290240*li7half - 645120*li6half*ln2 - 
    107520*li5half*ln2^2 + 256*ln2^7 - 45120*ln2*s6 - 405120*s7a + 
    495360*s7b - 645120*li6half*sinf - 215040*li5half*ln2*sinf + 
    896*ln2^6*sinf - 282240*s6*sinf + 67200*li5half*z2 - 1456*ln2^5*z2 + 
    13440*li4half*sinf*z2 - 3920*ln2^4*sinf*z2 + 5600*ln2^3*z2^2 + 
    42336*ln2^2*sinf*z2^2 + 82464*ln2*z2^3 + 90032*sinf*z2^3 - 
    16800*li4half*z3 - 700*ln2^4*z3 + 4200*ln2^2*z2*z3 + 
    25200*ln2*sinf*z2*z3 - 120996*z2^2*z3 - 337560*ln2*z3^2 + 
    92190*sinf*z3^2 - 839790*ln2^2*z5 + 65100*ln2*sinf*z5 - 1520640*z2*z5 + 
    3439095*z7)/26880, H[1, 0, -1, 1, 1, -1, 1, 1] -> 
  (1128960*li7half - 322560*li5half*ln2^2 - 53760*li4half*ln2^3 + 224*ln2^7 + 
    322560*ln2*s6 - 322560*s7a - 806400*s7b + 483840*li6half*sinf - 
    80640*li4half*ln2^2*sinf - 2688*ln2^6*sinf - 80640*s6*sinf + 
    322560*li5half*z2 + 161280*li4half*ln2*z2 - 4704*ln2^5*z2 + 
    322560*li4half*sinf*z2 + 53760*ln2^4*sinf*z2 - 108192*ln2^3*z2^2 - 
    179424*ln2^2*sinf*z2^2 + 159264*ln2*z2^3 - 139680*sinf*z2^3 - 
    584640*li4half*z3 - 24360*ln2^4*z3 + 146160*ln2^2*z2*z3 + 
    635040*ln2*sinf*z2*z3 + 832104*z2^2*z3 - 403200*ln2*z3^2 - 
    313740*sinf*z3^2 + 1054620*ln2^2*z5 + 1798020*z2*z5 - 6546015*z7)/161280, 
 H[1, 0, -1, 1, 1, -1, 0, 1] -> (-61440*ln2*s6 + 61440*s7a - 12480*s7b - 
    13440*li5half*z2 - 20160*li4half*ln2*z2 - 728*ln2^5*z2 - 
    20160*li4half*sinf*z2 - 840*ln2^4*sinf*z2 + 3920*ln2^3*z2^2 + 
    15120*ln2^2*sinf*z2^2 - 9000*ln2*z2^3 + 3696*sinf*z2^3 + 
    38640*li4half*z3 + 1610*ln2^4*z3 - 9660*ln2^2*z2*z3 - 
    32760*ln2*sinf*z2*z3 - 30558*z2^2*z3 + 76800*ln2*z3^2 + 17745*sinf*z3^2 + 
    71610*ln2^2*z5 + 80865*z2*z5 - 3900*z7)/13440, 
 H[1, 0, -1, 1, 1, -1, -1, 1] -> (1290240*li7half + 1451520*li6half*ln2 + 
    564480*li5half*ln2^2 + 53760*li4half*ln2^3 - 704*ln2^7 + 495360*ln2*s6 + 
    109440*s7a - 92160*s7b + 1290240*li6half*sinf + 483840*li5half*ln2*sinf + 
    80640*li4half*ln2^2*sinf + 1120*ln2^6*sinf + 887040*s6*sinf - 
    241920*li5half*z2 - 80640*li4half*ln2*z2 + 7392*ln2^5*z2 - 
    26880*ln2^4*sinf*z2 + 90720*ln2^3*z2^2 - 42336*ln2^2*sinf*z2^2 + 
    7776*ln2*z2^3 - 108000*sinf*z2^3 + 20160*li4half*z3 + 840*ln2^4*z3 - 
    5040*ln2^2*z2*z3 - 30240*ln2*sinf*z2*z3 - 720*z2^2*z3 - 90000*ln2*z3^2 - 
    315000*sinf*z3^2 - 859320*ln2^2*z5 - 937440*ln2*sinf*z5 + 745740*z2*z5 - 
    2043855*z7)/161280, H[1, 0, -1, 1, 0, 1, 1, 1] -> 
  (-157440*ln2*s6 + 157440*s7a + 157440*s7b + 376320*s6*sinf - 
    53760*li4half*sinf*z2 - 2240*ln2^4*sinf*z2 + 13440*ln2^2*sinf*z2^2 - 
    127968*ln2*z2^3 - 18048*sinf*z2^3 - 336000*li4half*z3 - 14000*ln2^4*z3 + 
    84000*ln2^2*z2*z3 - 443520*ln2*sinf*z2*z3 - 524064*z2^2*z3 + 
    196800*ln2*z3^2 + 240240*sinf*z3^2 - 462480*z2*z5 + 2892285*z7)/107520, 
 H[1, 0, -1, 1, 0, 1, 0, 1] -> (7680*ln2*s6 - 7680*s7a - 7680*s7b + 
    21504*li4half*sinf*z2 + 896*ln2^4*sinf*z2 - 5376*ln2^2*sinf*z2^2 + 
    2112*ln2*z2^3 + 1120*sinf*z2^3 + 37632*li4half*z3 + 1568*ln2^4*z3 - 
    9408*ln2^2*z2*z3 + 32256*ln2*sinf*z2*z3 + 26064*z2^2*z3 - 9600*ln2*z3^2 - 
    43680*sinf*z3^2 + 65736*z2*z5 - 207339*z7)/10752, 
 H[1, 0, -1, 1, 0, 1, -1, 1] -> (10321920*li7half + 5160960*li6half*ln2 + 
    860160*li5half*ln2^2 - 2048*ln2^7 + 890880*ln2*s6 + 2173440*s7a - 
    3444480*s7b + 5160960*li6half*sinf + 1720320*li5half*ln2*sinf - 
    7168*ln2^6*sinf + 2795520*s6*sinf - 860160*li5half*z2 - 
    483840*li4half*ln2*z2 - 5824*ln2^5*z2 + 430080*li4half*sinf*z2 + 
    53760*ln2^4*sinf*z2 + 49280*ln2^3*z2^2 - 513408*ln2^2*sinf*z2^2 - 
    95520*ln2*z2^3 - 698112*sinf*z2^3 - 215040*li4half*z3 - 8960*ln2^4*z3 + 
    53760*ln2^2*z2*z3 + 584640*ln2*sinf*z2*z3 + 1280592*z2^2*z3 + 
    1320720*ln2*z3^2 - 1276800*sinf*z3^2 + 4374720*ln2^2*z5 - 
    2135280*ln2*sinf*z5 + 11361360*z2*z5 - 27664605*z7)/107520, 
 H[1, 0, -1, 1, 0, 0, 1, 1] -> (-21120*ln2*s6 + 21120*s7a + 21120*s7b - 
    134400*s6*sinf - 107520*li4half*sinf*z2 - 4480*ln2^4*sinf*z2 + 
    26880*ln2^2*sinf*z2^2 + 42576*ln2*z2^3 + 15888*sinf*z2^3 + 
    134400*li4half*z3 + 5600*ln2^4*z3 - 33600*ln2^2*z2*z3 + 
    30240*ln2*sinf*z2*z3 - 60168*z2^2*z3 + 26400*ln2*z3^2 + 55860*sinf*z3^2 + 
    90420*z2*z5 - 159195*z7)/26880, H[1, 0, -1, 1, 0, 0, 0, 1] -> 
  (7680*ln2*s6 - 7680*s7a - 7680*s7b + 26880*s6*sinf - 9984*ln2*z2^3 - 
    4936*sinf*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    5778*z2^2*z3 - 9600*ln2*z3^2 - 6300*sinf*z3^2 - 13350*z2*z5 + 54615*z7)/
   6720, H[1, 0, -1, 1, 0, 0, -1, 1] -> 
  (-24000*ln2*s6 + 37440*s7a - 56640*s7b - 80640*s6*sinf - 
    26880*li4half*sinf*z2 - 1120*ln2^4*sinf*z2 + 6720*ln2^2*sinf*z2^2 - 
    26256*ln2*z2^3 - 10152*sinf*z2^3 + 3360*li4half*z3 + 140*ln2^4*z3 - 
    840*ln2^2*z2*z3 - 15120*ln2*sinf*z2*z3 - 1692*z2^2*z3 + 60870*ln2*z3^2 + 
    46620*sinf*z3^2 + 156240*ln2^2*z5 + 130200*ln2*sinf*z5 + 142335*z2*z5 - 
    186120*z7)/13440, H[1, 0, -1, 1, 0, -1, 1, 1] -> 
  (-5160960*li7half + 1290240*li5half*ln2^2 + 430080*li4half*ln2^3 + 
    8192*ln2^7 + 800640*ln2*s6 - 800640*s7a + 1981440*s7b - 
    3870720*li6half*sinf + 645120*li4half*ln2^2*sinf + 21504*ln2^6*sinf - 
    2096640*s6*sinf - 1290240*li5half*z2 - 564480*li4half*ln2*z2 - 
    34272*ln2^5*z2 - 322560*li4half*sinf*z2 - 94080*ln2^4*sinf*z2 + 
    33600*ln2^3*z2^2 + 689472*ln2^2*sinf*z2^2 - 351936*ln2*z2^3 + 
    532224*sinf*z2^3 + 584640*li4half*z3 + 24360*ln2^4*z3 - 
    146160*ln2^2*z2*z3 - 393120*ln2*sinf*z2*z3 - 1024776*z2^2*z3 - 
    1000800*ln2*z3^2 + 999180*sinf*z3^2 - 4530960*ln2^2*z5 - 4071600*z2*z5 + 
    14509755*z7)/161280, H[1, 0, -1, 1, 0, -1, 0, 1] -> 
  (59520*ln2*s6 - 59520*s7a - 59520*s7b + 53760*s6*sinf + 322560*li5half*z2 + 
    161280*li4half*ln2*z2 + 4032*ln2^5*z2 + 80640*li4half*sinf*z2 + 
    3360*ln2^4*sinf*z2 - 13440*ln2^3*z2^2 - 20160*ln2^2*sinf*z2^2 + 
    28968*ln2*z2^3 - 21800*sinf*z2^3 - 147840*li4half*z3 - 6160*ln2^4*z3 + 
    36960*ln2^2*z2*z3 + 30240*ln2*sinf*z2*z3 + 87126*z2^2*z3 - 
    74400*ln2*z3^2 - 30240*sinf*z3^2 - 207885*z2*z5 - 268290*z7)/13440, 
 H[1, 0, -1, 1, 0, -1, -1, 1] -> (-2580480*li7half - 1935360*li6half*ln2 - 
    645120*li5half*ln2^2 - 107520*li4half*ln2^3 - 1280*ln2^7 - 
    515520*ln2*s6 - 532800*s7a + 616320*s7b - 967680*li6half*sinf - 
    645120*li5half*ln2*sinf - 161280*li4half*ln2^2*sinf - 2688*ln2^6*sinf - 
    564480*s6*sinf + 322560*li5half*z2 + 161280*li4half*ln2*z2 + 
    6720*ln2^5*z2 + 80640*li4half*sinf*z2 + 10080*ln2^4*sinf*z2 - 
    13440*ln2^3*z2^2 - 20160*ln2^2*sinf*z2^2 + 22392*ln2*z2^3 + 
    68688*sinf*z2^3 - 156240*li4half*z3 - 6510*ln2^4*z3 + 39060*ln2^2*z2*z3 - 
    7560*ln2*sinf*z2*z3 - 123138*z2^2*z3 - 272880*ln2*z3^2 + 
    215775*sinf*z3^2 - 195300*ln2^2*z5 + 917910*ln2*sinf*z5 - 2305305*z2*z5 + 
    5652495*z7)/40320, H[1, 0, -1, 1, -1, 1, 1, 1] -> 
  (2580480*li7half + 26880*li4half*ln2^3 + 608*ln2^7 - 1059840*ln2*s6 + 
    1059840*s7a + 656640*s7b - 1451520*li6half*sinf - 2016*ln2^6*sinf - 
    80640*li4half*ln2*z2 + 672*ln2^5*z2 - 241920*li4half*sinf*z2 - 
    50400*ln2^4*sinf*z2 + 10080*ln2^3*z2^2 + 217728*ln2^2*sinf*z2^2 + 
    311616*ln2*z2^3 + 235584*sinf*z2^3 + 443520*li4half*z3 + 71400*ln2^4*z3 + 
    70560*ln2^3*sinf*z3 - 428400*ln2^2*z2*z3 - 907200*ln2*sinf*z2*z3 - 
    1297080*z2^2*z3 + 1324800*ln2*z3^2 + 582120*sinf*z3^2 + 390600*ln2^2*z5 - 
    1916280*z2*z5 + 4871295*z7)/161280, H[1, 0, -1, 1, -1, 1, 0, 1] -> 
  (-288000*ln2*s6 + 288000*s7a - 2937600*s7b + 5160960*li6half*sinf + 
    7168*ln2^6*sinf + 1290240*s6*sinf + 967680*li5half*z2 + 
    161280*li4half*ln2*z2 - 1344*ln2^5*z2 - 107520*ln2^4*sinf*z2 + 
    282240*ln2^3*z2^2 - 370944*ln2^2*sinf*z2^2 - 401760*ln2*z2^3 - 
    609408*sinf*z2^3 - 322560*li4half*z3 - 13440*ln2^4*z3 + 
    927360*ln2^2*z2*z3 + 907200*ln2*sinf*z2*z3 + 1981584*z2^2*z3 + 
    360000*ln2*z3^2 - 1310400*sinf*z3^2 + 3124800*ln2^2*z5 + 8876160*z2*z5 - 
    20413035*z7)/322560, H[1, 0, -1, 1, -1, 1, -1, 1] -> 
  (-4677120*li7half - 1128960*li6half*ln2 - 241920*li5half*ln2^2 - 
    26880*li4half*ln2^3 + 256*ln2^7 + 299520*ln2*s6 - 662400*s7a + 
    748800*s7b - 483840*li5half*ln2*sinf + 4032*ln2^6*sinf + 
    241920*li5half*z2 + 80640*li4half*ln2*z2 - 8064*ln2^5*z2 + 
    40320*ln2^4*sinf*z2 - 21504*ln2^3*z2^2 - 84672*ln2^2*sinf*z2^2 - 
    227808*ln2*z2^3 + 35712*sinf*z2^3 - 40320*li4half*z3 - 54600*ln2^4*z3 - 
    70560*ln2^3*sinf*z3 + 327600*ln2^2*z2*z3 + 332640*ln2*sinf*z2*z3 - 
    52488*z2^2*z3 - 1150560*ln2*z3^2 - 105840*sinf*z3^2 - 1484280*ln2^2*z5 - 
    234360*ln2*sinf*z5 - 2126520*z2*z5 + 7032645*z7)/161280, 
 H[1, 0, -1, 1, -1, 0, 1, 1] -> (249600*ln2*s6 - 249600*s7a - 410880*s7b - 
    268800*s6*sinf + 268800*li5half*z2 + 53760*li4half*ln2*z2 + 
    107520*li4half*sinf*z2 + 4480*ln2^4*sinf*z2 + 8960*ln2^3*z2^2 - 
    47040*ln2^2*sinf*z2^2 + 55200*ln2*z2^3 - 43904*sinf*z2^3 - 
    168000*li4half*z3 - 7000*ln2^4*z3 + 112560*ln2^2*z2*z3 + 
    403200*ln2*sinf*z2*z3 + 394824*z2^2*z3 - 312000*ln2*z3^2 - 
    85260*sinf*z3^2 + 156240*ln2^2*z5 + 1127160*z2*z5 - 3366705*z7)/53760, 
 H[1, 0, -1, 1, -1, 0, 0, 1] -> (25920*ln2*s6 - 25920*s7a + 108480*s7b + 
    67200*s6*sinf - 107520*li5half*z2 + 896*ln2^5*z2 - 8960*ln2^3*z2^2 - 
    30240*ln2^2*sinf*z2^2 - 16392*ln2*z2^3 - 2968*sinf*z2^3 + 
    10080*li4half*z3 + 420*ln2^4*z3 - 2520*ln2^2*z2*z3 - 
    15120*ln2*sinf*z2*z3 - 69156*z2^2*z3 - 32400*ln2*z3^2 + 6300*sinf*z3^2 - 
    130200*ln2^2*z5 - 282540*z2*z5 + 784125*z7)/13440, 
 H[1, 0, -1, 1, -1, 0, -1, 1] -> (1290240*li7half + 645120*li6half*ln2 + 
    107520*li5half*ln2^2 - 256*ln2^7 + 112320*ln2*s6 + 237120*s7a - 
    441600*s7b + 645120*li6half*sinf + 215040*li5half*ln2*sinf - 
    896*ln2^6*sinf + 282240*s6*sinf - 73920*li5half*z2 + 
    6720*li4half*ln2*z2 + 1792*ln2^5*z2 + 26880*li4half*sinf*z2 + 
    5600*ln2^4*sinf*z2 - 7840*ln2^3*z2^2 - 52416*ln2^2*sinf*z2^2 - 
    35712*ln2*z2^3 - 96448*sinf*z2^3 - 36960*li4half*z3 - 1540*ln2^4*z3 + 
    18060*ln2^2*z2*z3 + 22680*ln2*sinf*z2*z3 + 143844*z2^2*z3 + 
    211665*ln2*z3^2 - 112980*sinf*z3^2 + 605430*ln2^2*z5 - 
    104160*ln2*sinf*z5 + 1359885*z2*z5 - 3387960*z7)/13440, 
 H[1, 0, -1, 1, -1, -1, 1, 1] -> (-2580480*li7half + 483840*li5half*ln2^2 + 
    134400*li4half*ln2^3 + 2080*ln2^7 + 892800*ln2*s6 - 892800*s7a + 
    276480*s7b - 1451520*li6half*sinf + 241920*li4half*ln2^2*sinf + 
    8064*ln2^6*sinf - 1169280*s6*sinf - 483840*li5half*z2 - 
    483840*li4half*ln2*z2 - 20160*ln2^5*z2 + 241920*li4half*sinf*z2 + 
    10080*ln2^4*sinf*z2 + 76608*ln2^3*z2^2 + 145152*ln2^2*sinf*z2^2 - 
    126720*ln2*z2^3 + 92160*sinf*z2^3 - 100800*li4half*z3 - 57120*ln2^4*z3 - 
    70560*ln2^3*sinf*z3 + 131040*ln2^2*z2*z3 + 635040*ln2*sinf*z2*z3 + 
    286416*z2^2*z3 - 1116000*ln2*z3^2 + 120960*sinf*z3^2 - 2070180*ln2^2*z5 + 
    88740*z2*z5 + 1432395*z7)/161280, H[1, 0, -1, 1, -1, -1, 0, 1] -> 
  (37920*ln2*s6 - 37920*s7a + 52800*s7b - 161280*li6half*sinf - 
    224*ln2^6*sinf - 26880*s6*sinf + 107520*li5half*z2 + 
    53760*li4half*ln2*z2 + 1344*ln2^5*z2 + 26880*li4half*sinf*z2 + 
    4480*ln2^4*sinf*z2 - 12040*ln2^3*z2^2 + 7392*ln2^2*sinf*z2^2 + 
    27480*ln2*z2^3 + 9672*sinf*z2^3 - 72240*li4half*z3 - 3010*ln2^4*z3 - 
    17220*ln2^2*z2*z3 - 20160*ln2*sinf*z2*z3 - 6360*z2^2*z3 - 
    47400*ln2*z3^2 + 40110*sinf*z3^2 - 87885*ln2^2*z5 - 339795*z2*z5 + 
    438285*z7)/13440, H[1, 0, -1, 1, -1, -1, -1, 1] -> 
  (4032000*li7half + 483840*li6half*ln2 - 403200*li5half*ln2^2 - 
    134400*li4half*ln2^3 - 2368*ln2^7 - 587520*ln2*s6 + 506880*s7a - 
    1267200*s7b + 1612800*li6half*sinf + 161280*li5half*ln2*sinf - 
    241920*li4half*ln2^2*sinf - 9184*ln2^6*sinf + 443520*s6*sinf - 
    80640*li5half*z2 + 241920*li4half*ln2*z2 + 17472*ln2^5*z2 + 
    322560*li4half*sinf*z2 + 13440*ln2^4*sinf*z2 - 59136*ln2^3*z2^2 - 
    282240*ln2^2*sinf*z2^2 - 14976*ln2*z2^3 - 396288*sinf*z2^3 - 
    463680*li4half*z3 + 33600*ln2^4*z3 + 70560*ln2^3*sinf*z3 + 
    10080*ln2^2*z2*z3 + 548784*z2^2*z3 + 875520*ln2*z3^2 - 183960*sinf*z3^2 + 
    3241980*ln2^2*z5 + 1171800*ln2*sinf*z5 + 3191940*z2*z5 - 9237735*z7)/
   161280, H[1, 0, -1, 0, 1, 1, 1, 1] -> 
  (40320*ln2*s6 - 40320*s7a - 40320*s7b + 40320*li4half*sinf*z2 + 
    1680*ln2^4*sinf*z2 - 10080*ln2^2*sinf*z2^2 - 7056*ln2*z2^3 - 
    12256*sinf*z2^3 - 70560*li4half*z3 - 2940*ln2^4*z3 + 17640*ln2^2*z2*z3 + 
    35280*ln2*sinf*z2*z3 + 32340*z2^2*z3 - 50400*ln2*z3^2 - 10710*sinf*z3^2 + 
    118440*z2*z5 - 230055*z7)/26880, H[1, 0, -1, 0, 1, 1, 0, 1] -> 
  (2920*sinf*z2^3 + 10794*z2^2*z3 - 9660*sinf*z3^2 + 17220*z2*z5 - 62265*z7)/
   13440, H[1, 0, -1, 0, 1, 1, -1, 1] -> 
  (-1290240*li7half - 645120*li6half*ln2 - 107520*li5half*ln2^2 + 256*ln2^7 - 
    53760*ln2*s6 - 188160*s7a + 295680*s7b - 645120*li6half*sinf - 
    215040*li5half*ln2*sinf + 896*ln2^6*sinf - 376320*s6*sinf + 
    107520*li5half*z2 - 1792*ln2^5*z2 - 53760*li4half*sinf*z2 - 
    6720*ln2^4*sinf*z2 + 8960*ln2^3*z2^2 + 59136*ln2^2*sinf*z2^2 + 
    24864*ln2*z2^3 + 94496*sinf*z2^3 + 67200*li4half*z3 + 2800*ln2^4*z3 - 
    42000*ln2^2*z2*z3 + 50400*ln2*sinf*z2*z3 - 94248*z2^2*z3 - 
    188580*ln2*z3^2 + 124320*sinf*z3^2 - 416640*ln2^2*z5 + 
    104160*ln2*sinf*z5 - 935760*z2*z5 + 2552865*z7)/53760, 
 H[1, 0, -1, 0, 1, 0, 1, 1] -> (-107520*ln2*s6 + 107520*s7a + 107520*s7b - 
    107520*li4half*sinf*z2 - 4480*ln2^4*sinf*z2 + 26880*ln2^2*sinf*z2^2 + 
    18816*ln2*z2^3 + 25632*sinf*z2^3 + 188160*li4half*z3 + 7840*ln2^4*z3 - 
    47040*ln2^2*z2*z3 - 94080*ln2*sinf*z2*z3 - 161280*z2^2*z3 + 
    134400*ln2*z3^2 + 50960*sinf*z3^2 - 299600*z2*z5 + 825965*z7)/17920, 
 H[1, 0, -1, 0, 1, 0, 0, 1] -> (5536*sinf*z2^3 - 1008*z2^2*z3 - 
    10080*sinf*z3^2 + 17920*z2*z5 - 39025*z7)/8960, 
 H[1, 0, -1, 0, 1, 0, -1, 1] -> (3200*ln2*s6 - 3200*s7a - 3200*s7b - 
    560*ln2*z2^3 + 24*sinf*z2^3 + 150*z2^2*z3 + 900*ln2*z3^2 + 11430*z2*z5 - 
    21125*z7)/4480, H[1, 0, -1, 0, 1, -1, 1, 1] -> 
  (5160960*li7half - 1290240*li5half*ln2^2 - 430080*li4half*ln2^3 - 
    8192*ln2^7 - 1578240*ln2*s6 + 1578240*s7a - 195840*s7b + 
    3870720*li6half*sinf - 645120*li4half*ln2^2*sinf - 21504*ln2^6*sinf + 
    3064320*s6*sinf + 1290240*li5half*z2 + 1290240*li4half*ln2*z2 + 
    64512*ln2^5*z2 - 645120*li4half*sinf*z2 + 53760*ln2^4*sinf*z2 - 
    215040*ln2^3*z2^2 - 387072*ln2^2*sinf*z2^2 + 401184*ln2*z2^3 - 
    268800*sinf*z2^3 + 322560*li4half*z3 + 13440*ln2^4*z3 + 
    221760*ln2^2*z2*z3 - 1572480*ln2*sinf*z2*z3 - 957744*z2^2*z3 + 
    1972800*ln2*z3^2 - 297360*sinf*z3^2 + 2812320*ln2^2*z5 - 462960*z2*z5 - 
    2187765*z7)/322560, H[1, 0, -1, 0, 1, -1, 0, 1] -> 
  (-88320*ln2*s6 + 88320*s7a + 88320*s7b - 107520*s6*sinf - 
    322560*li5half*z2 - 161280*li4half*ln2*z2 - 4032*ln2^5*z2 - 
    107520*li4half*sinf*z2 - 4480*ln2^4*sinf*z2 + 13440*ln2^3*z2^2 + 
    26880*ln2^2*sinf*z2^2 - 14208*ln2*z2^3 + 38224*sinf*z2^3 + 
    241920*li4half*z3 + 10080*ln2^4*z3 - 60480*ln2^2*z2*z3 - 101748*z2^2*z3 + 
    110400*ln2*z3^2 - 5040*sinf*z3^2 + 109740*z2*z5 + 388275*z7)/26880, 
 H[1, 0, -1, 0, 1, -1, -1, 1] -> (645120*li7half + 967680*li6half*ln2 + 
    483840*li5half*ln2^2 + 107520*li4half*ln2^3 + 1664*ln2^7 + 
    250560*ln2*s6 + 112320*s7a + 11520*s7b + 322560*li5half*ln2*sinf + 
    161280*li4half*ln2^2*sinf + 4032*ln2^6*sinf - 120960*s6*sinf - 
    161280*li5half*z2 - 161280*li4half*ln2*z2 - 9408*ln2^5*z2 - 
    241920*li4half*sinf*z2 - 23520*ln2^4*sinf*z2 + 26880*ln2^3*z2^2 + 
    129024*ln2^2*sinf*z2^2 + 30960*ln2*z2^3 + 69072*sinf*z2^3 + 
    342720*li4half*z3 + 14280*ln2^4*z3 - 123480*ln2^2*z2*z3 - 
    141912*z2^2*z3 + 70470*ln2*z3^2 + 48510*sinf*z3^2 - 429660*ln2^2*z5 - 
    507780*ln2*sinf*z5 + 223200*z2*z5 - 633015*z7)/80640, 
 H[1, 0, -1, 0, 0, 1, 1, 1] -> (80640*ln2*s6 - 80640*s7a - 80640*s7b + 
    80640*li4half*sinf*z2 + 3360*ln2^4*sinf*z2 - 20160*ln2^2*sinf*z2^2 - 
    14112*ln2*z2^3 - 9248*sinf*z2^3 - 141120*li4half*z3 - 5880*ln2^4*z3 + 
    35280*ln2^2*z2*z3 + 70560*ln2*sinf*z2*z3 + 189336*z2^2*z3 - 
    100800*ln2*z3^2 - 68460*sinf*z3^2 + 236880*z2*z5 - 861945*z7)/26880, 
 H[1, 0, -1, 0, 0, 1, 0, 1] -> (-4848*sinf*z2^3 - 5124*z2^2*z3 + 
    12600*sinf*z3^2 - 23240*z2*z5 + 60235*z7)/4480, 
 H[1, 0, -1, 0, 0, 1, -1, 1] -> (-65280*ln2*s6 - 69120*s7a + 132480*s7b + 
    26880*s6*sinf + 13440*ln2*z2^3 - 5536*sinf*z2^3 - 90720*ln2*sinf*z2*z3 - 
    54300*z2^2*z3 + 2220*ln2*z3^2 + 20160*sinf*z3^2 - 130200*ln2^2*z5 + 
    130200*ln2*sinf*z5 - 460560*z2*z5 + 818505*z7)/26880, 
 H[1, 0, -1, 0, 0, 0, 1, 1] -> (7648*sinf*z2^3 + 13440*z2^2*z3 - 
    20160*sinf*z3^2 - 112560*z2*z5 + 140175*z7)/26880, 
 H[1, 0, -1, 0, 0, 0, 0, 1] -> (4960*sinf*z2^3 + 2688*z2^2*z3 + 16800*z2*z5 - 
    44065*z7)/4480, H[1, 0, -1, 0, 0, 0, -1, 1] -> 
  (38400*ln2*s6 + 69120*s7a - 38400*s7b + 107520*s6*sinf - 6720*ln2*z2^3 + 
    28832*sinf*z2^3 + 19272*z2^2*z3 + 10800*ln2*z3^2 - 55440*sinf*z3^2 - 
    208320*ln2*sinf*z5 + 164040*z2*z5 - 257805*z7)/26880, 
 H[1, 0, -1, 0, 0, -1, 1, 1] -> (3360*ln2*s6 - 3360*s7a - 20160*s7b - 
    23520*s6*sinf - 1092*ln2*z2^3 - 628*sinf*z2^3 + 22680*ln2*sinf*z2*z3 + 
    17094*z2^2*z3 - 4200*ln2*z3^2 - 3465*sinf*z3^2 + 32550*ln2^2*z5 + 
    43470*z2*z5 - 122220*z7)/6720, H[1, 0, -1, 0, 0, -1, 0, 1] -> 
  (-168*sinf*z2^3 + 6*z2^2*z3 + 360*sinf*z3^2 + 265*z2*z5 - 175*z7)/320, 
 H[1, 0, -1, 0, 0, -1, -1, 1] -> (25920*ln2*s6 + 27840*s7a - 25920*s7b + 
    20160*s6*sinf - 4536*ln2*z2^3 + 4448*sinf*z2^3 + 7956*z2^2*z3 + 
    7290*ln2*z3^2 - 7980*sinf*z3^2 - 39060*ln2*sinf*z5 + 97350*z2*z5 - 
    148695*z7)/13440, H[1, 0, -1, 0, -1, 1, 1, 1] -> 
  (-645120*li7half - 107520*li4half*ln2^3 - 4352*ln2^7 + 1416960*ln2*s6 - 
    1416960*s7a - 1255680*s7b - 645120*li6half*sinf - 896*ln2^6*sinf - 
    564480*s6*sinf + 322560*li4half*ln2*z2 + 37632*ln2^5*z2 + 
    806400*li4half*sinf*z2 + 47040*ln2^4*sinf*z2 - 80640*ln2^3*z2^2 - 
    64512*ln2^2*sinf*z2^2 - 356832*ln2*z2^3 - 98400*sinf*z2^3 - 
    2056320*li4half*z3 - 156240*ln2^4*z3 - 94080*ln2^3*sinf*z3 + 
    861840*ln2^2*z2*z3 + 917280*ln2*sinf*z2*z3 + 2041848*z2^2*z3 - 
    1771200*ln2*z3^2 - 359100*sinf*z3^2 - 156240*ln2^2*z5 + 3683520*z2*z5 - 
    10196145*z7)/161280, H[1, 0, -1, 0, -1, 1, 0, 1] -> 
  (-72960*ln2*s6 + 72960*s7a + 72960*s7b + 107520*s6*sinf + 
    107520*li5half*z2 - 53760*li4half*ln2*z2 - 3136*ln2^5*z2 + 
    53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 + 22400*ln2^3*z2^2 - 
    13440*ln2^2*sinf*z2^2 + 42432*ln2*z2^3 - 22736*sinf*z2^3 + 
    40320*li4half*z3 + 1680*ln2^4*z3 - 104160*ln2^2*z2*z3 - 
    47040*ln2*sinf*z2*z3 - 93636*z2^2*z3 + 91200*ln2*z3^2 + 20160*sinf*z3^2 - 
    431040*z2*z5 + 852615*z7)/26880, H[1, 0, -1, 0, -1, 1, -1, 1] -> 
  (4515840*li7half + 1935360*li6half*ln2 + 322560*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 3584*ln2^7 - 23040*ln2*s6 + 506880*s7a - 
    864000*s7b + 2580480*li6half*sinf + 645120*li5half*ln2*sinf - 
    1792*ln2^6*sinf + 1451520*s6*sinf - 322560*li5half*z2 - 
    322560*li4half*ln2*z2 - 32256*ln2^5*z2 + 322560*li4half*sinf*z2 + 
    13440*ln2^4*sinf*z2 + 53760*ln2^3*z2^2 - 354816*ln2^2*sinf*z2^2 + 
    66528*ln2*z2^3 - 429504*sinf*z2^3 - 241920*li4half*z3 + 60480*ln2^4*z3 + 
    94080*ln2^3*sinf*z3 - 211680*ln2^2*z2*z3 - 221760*ln2*sinf*z2*z3 + 
    263520*z2^2*z3 + 849060*ln2*z3^2 - 493920*sinf*z3^2 + 1406160*ln2^2*z5 + 
    156240*ln2*sinf*z5 + 2502720*z2*z5 - 7716285*z7)/161280, 
 H[1, 0, -1, 0, -1, 0, 1, 1] -> (-11520*ln2*s6 + 11520*s7a + 11520*s7b - 
    3840*li5half*z2 - 3840*li4half*ln2*z2 - 128*ln2^5*z2 - 
    9600*li4half*sinf*z2 - 400*ln2^4*sinf*z2 + 640*ln2^3*z2^2 + 
    2400*ln2^2*sinf*z2^2 + 2016*ln2*z2^3 + 2532*sinf*z2^3 + 
    20160*li4half*z3 + 840*ln2^4*z3 - 6720*ln2^2*z2*z3 - 
    8400*ln2*sinf*z2*z3 - 15285*z2^2*z3 + 14400*ln2*z3^2 + 3780*sinf*z3^2 - 
    32850*z2*z5 + 89880*z7)/960, H[1, 0, -1, 0, -1, 0, 0, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b - 2688*ln2*z2^3 + 4416*sinf*z2^3 - 
    26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 22632*z2^2*z3 - 
    19200*ln2*z3^2 - 10800*sinf*z3^2 + 67200*z2*z5 - 162825*z7)/3840, 
 H[1, 0, -1, 0, -1, 0, -1, 1] -> (-13440*ln2*s6 + 40320*s7a + 13440*s7b + 
    26880*s6*sinf - 13440*li5half*z2 - 13440*li4half*ln2*z2 - 448*ln2^5*z2 - 
    13440*li4half*sinf*z2 - 560*ln2^4*sinf*z2 + 2240*ln2^3*z2^2 + 
    3360*ln2^2*sinf*z2^2 + 2352*ln2*z2^3 + 10044*sinf*z2^3 + 
    23520*li4half*z3 + 980*ln2^4*z3 - 11760*ln2^2*z2*z3 - 
    11760*ln2*sinf*z2*z3 - 13209*z2^2*z3 + 16800*ln2*z3^2 - 7140*sinf*z3^2 - 
    52080*ln2*sinf*z5 - 9135*z2*z5 + 80955*z7)/6720, 
 H[1, 0, -1, 0, -1, -1, 1, 1] -> (-967680*li7half + 322560*li5half*ln2^2 + 
    161280*li4half*ln2^3 + 4224*ln2^7 - 452160*ln2*s6 + 452160*s7a + 
    633600*s7b - 645120*li6half*sinf + 161280*li4half*ln2^2*sinf + 
    5824*ln2^6*sinf - 383040*s6*sinf - 322560*li5half*z2 - 
    322560*li4half*ln2*z2 - 28224*ln2^5*z2 - 443520*li4half*sinf*z2 - 
    45360*ln2^4*sinf*z2 + 53760*ln2^3*z2^2 + 179424*ln2^2*sinf*z2^2 - 
    26928*ln2*z2^3 + 186000*sinf*z2^3 + 1058400*li4half*z3 + 79380*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 - 372960*ln2^2*z2*z3 - 347760*ln2*sinf*z2*z3 - 
    767556*z2^2*z3 + 565200*ln2*z3^2 + 314370*sinf*z3^2 - 273420*ln2^2*z5 - 
    1769220*z2*z5 + 5679945*z7)/80640, H[1, 0, -1, 0, -1, -1, 0, 1] -> 
  (107520*ln2*s6 - 107520*s7a - 107520*s7b + 215040*li5half*z2 + 
    215040*li4half*ln2*z2 + 7168*ln2^5*z2 + 53760*li4half*sinf*z2 + 
    2240*ln2^4*sinf*z2 - 35840*ln2^3*z2^2 - 13440*ln2^2*sinf*z2^2 - 
    18816*ln2*z2^3 + 272*sinf*z2^3 - 188160*li4half*z3 - 7840*ln2^4*z3 + 
    141120*ln2^2*z2*z3 + 47040*ln2*sinf*z2*z3 + 142548*z2^2*z3 - 
    134400*ln2*z3^2 - 66360*sinf*z3^2 + 252630*z2*z5 - 1048005*z7)/26880, 
 H[1, 0, -1, 0, -1, -1, -1, 1] -> (-3870720*li7half - 3870720*li6half*ln2 - 
    1935360*li5half*ln2^2 - 645120*li4half*ln2^3 - 15360*ln2^7 - 
    34560*ln2*s6 + 357120*s7a + 34560*s7b - 1290240*li6half*sinf - 
    1290240*li5half*ln2*sinf - 645120*li4half*ln2^2*sinf - 17920*ln2^6*sinf + 
    725760*s6*sinf + 645120*li5half*z2 + 645120*li4half*ln2*z2 + 
    86016*ln2^5*z2 + 80640*ln2^4*sinf*z2 - 107520*ln2^3*z2^2 + 
    6048*ln2*z2^3 + 436224*sinf*z2^3 - 161280*li4half*z3 - 147840*ln2^4*z3 - 
    188160*ln2^3*sinf*z3 + 322560*ln2^2*z2*z3 + 25344*z2^2*z3 - 
    150840*ln2*z3^2 - 231840*sinf*z3^2 - 1406160*ln2*sinf*z5 + 611640*z2*z5 + 
    2185875*z7)/322560, H[1, 0, -1, -1, 1, 1, 1, 1] -> 
  (-2903040*li7half + 576*ln2^7 + 126720*ln2*s6 - 126720*s7a - 610560*s7b + 
    2580480*li6half*sinf + 3584*ln2^6*sinf + 645120*s6*sinf - 
    12096*ln2^5*z2 + 161280*li4half*sinf*z2 + 13440*ln2^4*sinf*z2 + 
    96768*ln2^3*z2^2 - 225792*ln2^2*sinf*z2^2 - 348768*ln2*z2^3 - 
    380160*sinf*z2^3 - 201600*li4half*z3 - 8400*ln2^4*z3 + 
    50400*ln2^2*z2*z3 + 483840*ln2*sinf*z2*z3 + 589824*z2^2*z3 - 
    158400*ln2*z3^2 - 524160*sinf*z3^2 + 468720*ln2^2*z5 + 1808640*z2*z5 - 
    2112615*z7)/322560, H[1, 0, -1, -1, 1, 1, 0, 1] -> 
  (645120*ln2*s6 - 645120*s7a + 725760*s7b - 1290240*li6half*sinf - 
    1792*ln2^6*sinf - 201600*s6*sinf - 806400*li5half*z2 + 6720*ln2^5*z2 + 
    161280*li4half*sinf*z2 + 33600*ln2^4*sinf*z2 - 127680*ln2^3*z2^2 - 
    38304*ln2^2*sinf*z2^2 - 98784*ln2*z2^3 + 131328*sinf*z2^3 - 
    201600*li4half*z3 - 8400*ln2^4*z3 + 50400*ln2^2*z2*z3 - 157248*z2^2*z3 - 
    806400*ln2*z3^2 + 112140*sinf*z3^2 - 1328040*ln2^2*z5 - 1554840*z2*z5 + 
    3974355*z7)/161280, H[1, 0, -1, -1, 1, 1, -1, 1] -> 
  (6451200*li7half + 1612800*li6half*ln2 + 161280*li5half*ln2^2 - 384*ln2^7 + 
    11520*ln2*s6 + 1117440*s7a - 1463040*s7b - 1612800*li6half*sinf + 
    322560*li5half*ln2*sinf - 4928*ln2^6*sinf - 806400*s6*sinf - 
    161280*li5half*z2 + 8064*ln2^5*z2 + 20160*ln2^4*sinf*z2 - 
    173376*ln2^3*z2^2 + 177408*ln2^2*sinf*z2^2 + 273312*ln2*z2^3 + 
    172224*sinf*z2^3 - 60480*ln2*sinf*z2*z3 + 407520*z2^2*z3 + 
    1008720*ln2*z3^2 + 320040*sinf*z3^2 + 2577960*ln2^2*z5 + 
    156240*ln2*sinf*z5 + 4300200*z2*z5 - 12683295*z7)/322560, 
 H[1, 0, -1, -1, 1, 0, 1, 1] -> (-249600*ln2*s6 + 249600*s7a + 410880*s7b + 
    188160*s6*sinf - 322560*li5half*z2 + 2688*ln2^5*z2 - 
    215040*li4half*sinf*z2 - 8960*ln2^4*sinf*z2 - 26880*ln2^3*z2^2 + 
    73920*ln2^2*sinf*z2^2 - 60576*ln2*z2^3 + 58112*sinf*z2^3 + 
    268800*li4half*z3 + 11200*ln2^4*z3 - 67200*ln2^2*z2*z3 - 
    423360*ln2*sinf*z2*z3 - 470928*z2^2*z3 + 312000*ln2*z3^2 + 
    157080*sinf*z3^2 - 156240*ln2^2*z5 - 1017120*z2*z5 + 3361665*z7)/107520, 
 H[1, 0, -1, -1, 1, 0, 0, 1] -> (-41280*ln2*s6 + 41280*s7a - 25920*s7b - 
    47040*s6*sinf + 53760*li5half*z2 - 448*ln2^5*z2 - 13440*li4half*sinf*z2 - 
    560*ln2^4*sinf*z2 + 4480*ln2^3*z2^2 + 18480*ln2^2*sinf*z2^2 + 
    18552*ln2*z2^3 + 7760*sinf*z2^3 + 43680*li4half*z3 + 1820*ln2^4*z3 - 
    10920*ln2^2*z2*z3 + 1110*z2^2*z3 + 51600*ln2*z3^2 + 630*sinf*z3^2 + 
    65100*ln2^2*z5 + 66480*z2*z5 - 230385*z7)/13440, 
 H[1, 0, -1, -1, 1, 0, -1, 1] -> (-645120*li7half - 322560*li6half*ln2 - 
    53760*li5half*ln2^2 + 128*ln2^7 - 36000*ln2*s6 - 148800*s7a + 
    220800*s7b - 322560*li6half*sinf - 107520*li5half*ln2*sinf + 
    448*ln2^6*sinf - 154560*s6*sinf + 33600*li5half*z2 - 728*ln2^5*z2 - 
    26880*li4half*sinf*z2 - 3360*ln2^4*sinf*z2 + 2800*ln2^3*z2^2 + 
    29568*ln2^2*sinf*z2^2 + 25656*ln2*z2^3 + 52232*sinf*z2^3 + 
    33600*li4half*z3 + 1400*ln2^4*z3 - 8400*ln2^2*z2*z3 - 75450*z2^2*z3 - 
    116700*ln2*z3^2 + 57435*sinf*z3^2 - 341775*ln2^2*z5 + 32550*ln2*sinf*z5 - 
    664245*z2*z5 + 1634130*z7)/13440, H[1, 0, -1, -1, 1, -1, 1, 1] -> 
  (6773760*li7half - 645120*li5half*ln2^2 - 322560*li4half*ln2^3 - 
    9408*ln2^7 - 1728000*ln2*s6 + 1728000*s7a - 288000*s7b - 
    645120*li6half*sinf - 483840*li4half*ln2^2*sinf - 21056*ln2^6*sinf + 
    725760*s6*sinf + 645120*li5half*z2 + 967680*li4half*ln2*z2 + 
    90048*ln2^5*z2 - 483840*li4half*sinf*z2 - 26880*ln2^4*sinf*z2 - 
    147840*ln2^3*z2^2 + 221760*ln2^2*sinf*z2^2 + 554976*ln2*z2^3 + 
    240192*sinf*z2^3 + 241920*li4half*z3 + 10080*ln2^4*z3 - 
    60480*ln2^2*z2*z3 - 1391040*ln2*sinf*z2*z3 - 848592*z2^2*z3 + 
    2160000*ln2*z3^2 + 486360*sinf*z3^2 + 2812320*ln2^2*z5 + 49680*z2*z5 - 
    3728565*z7)/322560, H[1, 0, -1, -1, 1, -1, 0, 1] -> 
  (-73440*ln2*s6 + 73440*s7a - 37440*s7b + 161280*li6half*sinf + 
    224*ln2^6*sinf + 26880*s6*sinf - 40320*li5half*z2 - 
    60480*li4half*ln2*z2 - 2184*ln2^5*z2 - 40320*li4half*sinf*z2 - 
    5040*ln2^4*sinf*z2 + 19320*ln2^3*z2^2 + 1008*ln2^2*sinf*z2^2 - 
    3312*ln2*z2^3 - 4296*sinf*z2^3 + 90720*li4half*z3 + 3780*ln2^4*z3 - 
    22680*ln2^2*z2*z3 - 7254*z2^2*z3 + 91800*ln2*z3^2 - 37380*sinf*z3^2 + 
    107415*ln2^2*z5 + 201750*z2*z5 - 277665*z7)/13440, 
 H[1, 0, -1, -1, 1, -1, -1, 1] -> (-3870720*li7half - 967680*li6half*ln2 + 
    53760*li5half*ln2^2 + 107520*li4half*ln2^3 + 3456*ln2^7 + 195840*ln2*s6 - 
    599040*s7a + 1094400*s7b - 967680*li6half*sinf - 
    322560*li5half*ln2*sinf + 161280*li4half*ln2^2*sinf + 8064*ln2^6*sinf - 
    403200*s6*sinf + 161280*li5half*z2 - 161280*li4half*ln2*z2 - 
    26432*ln2^5*z2 - 322560*li4half*sinf*z2 - 20160*ln2^4*sinf*z2 + 
    43008*ln2^3*z2^2 + 141120*ln2^2*sinf*z2^2 + 7776*ln2*z2^3 + 
    264192*sinf*z2^3 + 443520*li4half*z3 + 18480*ln2^4*z3 - 
    110880*ln2^2*z2*z3 - 480960*z2^2*z3 - 597600*ln2*z3^2 + 
    151200*sinf*z3^2 - 2161320*ln2^2*z5 - 468720*ln2*sinf*z5 - 
    3033360*z2*z5 + 8489475*z7)/107520, H[1, 0, -1, -1, 0, 1, 1, 1] -> 
  (-8*sinf*z2^3 - 42*z2^2*z3 + 35*sinf*z3^2 + 105*z7)/4480, 
 H[1, 0, -1, -1, 0, 1, 0, 1] -> (-392*sinf*z2^3 - 726*z2^2*z3 + 
    1080*sinf*z3^2 - 1200*z2*z5 + 4665*z7)/1920, 
 H[1, 0, -1, -1, 0, 1, -1, 1] -> (5280*ln2*s6 - 5280*s7a - 15360*s7b + 
    13440*s6*sinf + 26880*li4half*sinf*z2 + 1120*ln2^4*sinf*z2 - 
    6720*ln2^2*sinf*z2^2 - 9888*ln2*z2^3 - 8208*sinf*z2^3 - 
    33600*li4half*z3 - 1400*ln2^4*z3 + 8400*ln2^2*z2*z3 + 15378*z2^2*z3 - 
    6600*ln2*z3^2 - 3675*sinf*z3^2 + 19530*ln2^2*z5 + 19530*ln2*sinf*z5 + 
    35670*z2*z5 - 62550*z7)/13440, H[1, 0, -1, -1, 0, 0, 1, 1] -> 
  (26880*ln2*s6 - 26880*s7a - 26880*s7b + 26880*li4half*sinf*z2 + 
    1120*ln2^4*sinf*z2 - 6720*ln2^2*sinf*z2^2 - 4704*ln2*z2^3 - 
    6368*sinf*z2^3 - 47040*li4half*z3 - 1960*ln2^4*z3 + 11760*ln2^2*z2*z3 + 
    23520*ln2*sinf*z2*z3 + 39424*z2^2*z3 - 33600*ln2*z3^2 - 12600*sinf*z3^2 + 
    84560*z2*z5 - 220605*z7)/8960, H[1, 0, -1, -1, 0, 0, 0, 1] -> 
  (-184*sinf*z2^3 - 228*z2^2*z3 + 360*sinf*z3^2 - 690*z2*z5 + 2205*z7)/480, 
 H[1, 0, -1, -1, 0, 0, -1, 1] -> (-2240*ln2*s6 - 2240*s7a + 2240*s7b - 
    4480*s6*sinf + 392*ln2*z2^3 - 904*sinf*z2^3 - 504*z2^2*z3 - 
    630*ln2*z3^2 + 1610*sinf*z3^2 + 8680*ln2*sinf*z5 - 9660*z2*z5 + 14315*z7)/
   4480, H[1, 0, -1, -1, 0, -1, 1, 1] -> 
  (220800*ln2*s6 - 220800*s7a - 180480*s7b - 94080*s6*sinf + 
    134400*li4half*sinf*z2 + 5600*ln2^4*sinf*z2 - 33600*ln2^2*sinf*z2^2 - 
    2784*ln2*z2^3 - 33792*sinf*z2^3 - 288960*li4half*z3 - 12040*ln2^4*z3 + 
    72240*ln2^2*z2*z3 + 211680*ln2*sinf*z2*z3 + 291288*z2^2*z3 - 
    276000*ln2*z3^2 - 82740*sinf*z3^2 - 78120*ln2^2*z5 + 567960*z2*z5 - 
    1640115*z7)/53760, H[1, 0, -1, -1, 0, -1, 0, 1] -> 
  (-10216*sinf*z2^3 - 18438*z2^2*z3 + 30660*sinf*z3^2 - 46935*z2*z5 + 
    140700*z7)/13440, H[1, 0, -1, -1, 0, -1, -1, 1] -> 
  (-46080*ln2*s6 - 34560*s7a + 46080*s7b - 67200*s6*sinf + 8064*ln2*z2^3 - 
    14336*sinf*z2^3 - 13416*z2^2*z3 - 12960*ln2*z3^2 + 25340*sinf*z3^2 + 
    130200*ln2*sinf*z5 - 202980*z2*z5 + 326355*z7)/17920, 
 H[1, 0, -1, -1, -1, 1, 1, 1] -> (-403200*li7half - 6720*li4half*ln2^3 - 
    200*ln2^7 + 128160*ln2*s6 - 128160*s7a - 57600*s7b + 
    241920*li6half*sinf + 336*ln2^6*sinf + 60480*s6*sinf + 
    20160*li4half*ln2*z2 + 840*ln2^5*z2 + 40320*li4half*sinf*z2 + 
    4200*ln2^4*sinf*z2 - 504*ln2^3*z2^2 - 31248*ln2^2*sinf*z2^2 - 
    61632*ln2*z2^3 - 40176*sinf*z2^3 - 115920*li4half*z3 - 9240*ln2^4*z3 - 
    5880*ln2^3*sinf*z3 + 55440*ln2^2*z2*z3 + 78120*ln2*sinf*z2*z3 + 
    136386*z2^2*z3 - 160200*ln2*z3^2 - 71190*sinf*z3^2 - 68355*ln2^2*z5 + 
    166995*z2*z5 - 278190*z7)/40320, H[1, 0, -1, -1, -1, 1, 0, 1] -> 
  (144000*ln2*s6 - 144000*s7a + 380160*s7b - 645120*li6half*sinf - 
    896*ln2^6*sinf + 80640*s6*sinf - 161280*li5half*z2 - 
    80640*li4half*ln2*z2 - 2016*ln2^5*z2 + 241920*li4half*sinf*z2 + 
    23520*ln2^4*sinf*z2 - 23520*ln2^3*z2^2 - 44352*ln2^2*sinf*z2^2 + 
    8352*ln2*z2^3 - 11520*sinf*z2^3 - 141120*li4half*z3 - 5880*ln2^4*z3 - 
    105840*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 - 241848*z2^2*z3 - 
    180000*ln2*z3^2 + 162540*sinf*z3^2 - 507780*ln2^2*z5 - 1284300*z2*z5 + 
    3128625*z7)/161280, H[1, 0, -1, -1, -1, 1, -1, 1] -> 
  (3709440*li7half + 1128960*li6half*ln2 + 241920*li5half*ln2^2 + 
    26880*li4half*ln2^3 - 64*ln2^7 - 69120*ln2*s6 + 432000*s7a - 817920*s7b + 
    483840*li6half*sinf + 483840*li5half*ln2*sinf - 3360*ln2^6*sinf + 
    322560*s6*sinf - 241920*li5half*z2 - 80640*li4half*ln2*z2 + 
    4032*ln2^5*z2 + 322560*li4half*sinf*z2 + 3360*ln2^4*sinf*z2 + 
    13440*ln2^3*z2^2 - 68544*ln2^2*sinf*z2^2 + 66528*ln2*z2^3 - 
    184320*sinf*z2^3 - 362880*li4half*z3 + 2520*ln2^4*z3 + 
    23520*ln2^3*sinf*z3 - 15120*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 + 
    318312*z2^2*z3 + 545040*ln2*z3^2 - 85680*sinf*z3^2 + 1288980*ln2^2*z5 + 
    156240*ln2*sinf*z5 + 2363580*z2*z5 - 6945885*z7)/161280, 
 H[1, 0, -1, -1, -1, 0, 1, 1] -> (-80640*ln2*s6 + 80640*s7a + 80640*s7b - 
    26880*li5half*z2 - 26880*li4half*ln2*z2 - 896*ln2^5*z2 - 
    67200*li4half*sinf*z2 - 2800*ln2^4*sinf*z2 + 4480*ln2^3*z2^2 + 
    16800*ln2^2*sinf*z2^2 + 14112*ln2*z2^3 + 18064*sinf*z2^3 + 
    141120*li4half*z3 + 5880*ln2^4*z3 - 47040*ln2^2*z2*z3 - 
    58800*ln2*sinf*z2*z3 - 105420*z2^2*z3 + 100800*ln2*z3^2 + 
    25410*sinf*z3^2 - 233520*z2*z5 + 630105*z7)/26880, 
 H[1, 0, -1, -1, -1, 0, 0, 1] -> (26880*ln2*s6 - 26880*s7a - 26880*s7b - 
    4704*ln2*z2^3 + 10496*sinf*z2^3 - 47040*li4half*z3 - 1960*ln2^4*z3 + 
    11760*ln2^2*z2*z3 + 51744*z2^2*z3 - 33600*ln2*z3^2 - 30660*sinf*z3^2 + 
    128520*z2*z5 - 337785*z7)/26880, H[1, 0, -1, -1, -1, 0, -1, 1] -> 
  (19200*ln2*s6 + 249600*s7a - 19200*s7b + 268800*s6*sinf - 
    53760*li5half*z2 - 53760*li4half*ln2*z2 - 1792*ln2^5*z2 - 
    53760*li4half*sinf*z2 - 2240*ln2^4*sinf*z2 + 8960*ln2^3*z2^2 + 
    13440*ln2^2*sinf*z2^2 - 3360*ln2*z2^3 + 78848*sinf*z2^3 + 
    94080*li4half*z3 + 3920*ln2^4*z3 - 47040*ln2^2*z2*z3 - 
    47040*ln2*sinf*z2*z3 - 13632*z2^2*z3 + 87720*ln2*z3^2 - 
    102480*sinf*z3^2 - 520800*ln2*sinf*z5 + 331920*z2*z5 - 298845*z7)/107520, 
 H[1, 0, -1, -1, -1, -1, 1, 1] -> (-322560*li7half + 53760*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 736*ln2^7 + 80640*s7b + 26880*li4half*ln2^2*sinf + 
    1120*ln2^6*sinf - 53760*s6*sinf - 53760*li5half*z2 - 
    53760*li4half*ln2*z2 - 5376*ln2^5*z2 - 53760*li4half*sinf*z2 - 
    5600*ln2^4*sinf*z2 + 7616*ln2^3*z2^2 + 12096*ln2^2*sinf*z2^2 - 
    20448*ln2*z2^3 + 12288*sinf*z2^3 + 120960*li4half*z3 + 10920*ln2^4*z3 + 
    7840*ln2^3*sinf*z3 - 42000*ln2^2*z2*z3 - 59136*z2^2*z3 + 
    14280*sinf*z3^2 - 104160*ln2^2*z5 - 213360*z2*z5 + 758835*z7)/53760, 
 H[1, 0, -1, -1, -1, -1, 0, 1] -> (1920*ln2*s6 - 1920*s7a - 1920*s7b + 
    3840*li5half*z2 + 3840*li4half*ln2*z2 + 128*ln2^5*z2 + 
    960*li4half*sinf*z2 + 40*ln2^4*sinf*z2 - 640*ln2^3*z2^2 - 
    240*ln2^2*sinf*z2^2 - 336*ln2*z2^3 - 384*sinf*z2^3 - 3360*li4half*z3 - 
    140*ln2^4*z3 + 2520*ln2^2*z2*z3 + 840*ln2*sinf*z2*z3 + 1752*z2^2*z3 - 
    2400*ln2*z3^2 + 15*sinf*z3^2 + 2790*z2*z5 - 13245*z7)/1920, 
 H[1, 0, -1, -1, -1, -1, -1, 1] -> (-483840*li7half - 483840*li6half*ln2 - 
    241920*li5half*ln2^2 - 80640*li4half*ln2^3 - 1920*ln2^7 - 80640*ln2*s6 + 
    80640*s7b - 161280*li6half*sinf - 161280*li5half*ln2*sinf - 
    80640*li4half*ln2^2*sinf - 2240*ln2^6*sinf + 80640*li5half*z2 + 
    80640*li4half*ln2*z2 + 10752*ln2^5*z2 + 10080*ln2^4*sinf*z2 - 
    13440*ln2^3*z2^2 + 14112*ln2*z2^3 + 36864*sinf*z2^3 - 20160*li4half*z3 - 
    18480*ln2^4*z3 - 23520*ln2^3*sinf*z3 + 40320*ln2^2*z2*z3 - 
    12096*z2^2*z3 - 40320*ln2*z3^2 - 239400*z2*z5 + 768915*z7)/161280, 
 H[1, -1, 1, 1, 1, 1, 1, 1] -> -6*li7half + li6half*sinf, 
 H[1, -1, 1, 1, 1, 1, 0, 1] -> (483840*li7half - 26880*li5half*ln2^2 + 
    128*ln2^7 - 51840*ln2*s6 + 51840*s7a + 38400*s7b - 161280*li6half*sinf - 
    53760*li5half*ln2*sinf + 224*ln2^6*sinf - 26880*s6*sinf - 
    26880*li5half*z2 - 1568*ln2^5*z2 - 2240*ln2^4*sinf*z2 - 224*ln2^3*z2^2 - 
    1344*ln2^2*sinf*z2^2 + 25152*ln2*z2^3 + 10752*sinf*z2^3 + 6720*ln2^4*z3 + 
    8960*ln2^3*sinf*z3 - 40320*ln2^2*z2*z3 - 26880*ln2*sinf*z2*z3 - 
    71520*z2^2*z3 + 64800*ln2*z3^2 + 33600*sinf*z3^2 + 39900*ln2^2*z5 + 
    53760*ln2*sinf*z5 - 139260*z2*z5 + 292455*z7)/53760, 
 H[1, -1, 1, 1, 1, 1, -1, 1] -> (322560*li7half + 32256*li5half*ln2^2 + 
    21504*li4half*ln2^3 + 640*ln2^7 - 80640*ln2*s6 + 80640*s7a + 80640*s7b + 
    64512*li5half*ln2*sinf + 32256*li4half*ln2^2*sinf + 896*ln2^6*sinf - 
    32256*li5half*z2 - 64512*li4half*ln2*z2 - 5376*ln2^5*z2 - 
    32256*li4half*sinf*z2 - 5376*ln2^4*sinf*z2 + 13440*ln2^3*z2^2 + 
    8064*ln2^2*sinf*z2^2 + 14112*ln2*z2^3 + 112896*li4half*z3 + 
    11760*ln2^4*z3 + 9408*ln2^3*sinf*z3 - 70560*ln2^2*z2*z3 - 
    28224*ln2*sinf*z2*z3 - 129024*z2^2*z3 + 100800*ln2*z3^2 + 
    24696*sinf*z3^2 - 236880*z2*z5 + 530145*z7)/64512, 
 H[1, -1, 1, 1, 1, 0, 1, 1] -> (-645120*li7half + 322560*li5half*ln2^2 + 
    53760*li4half*ln2^3 - 320*ln2^7 + 391680*ln2*s6 - 391680*s7a - 
    149760*s7b + 967680*li6half*sinf + 645120*li5half*ln2*sinf + 
    80640*li4half*ln2^2*sinf - 672*ln2^6*sinf + 362880*s6*sinf - 
    967680*li5half*z2 - 161280*li4half*ln2*z2 + 6720*ln2^5*z2 + 
    80640*li4half*sinf*z2 + 10080*ln2^4*sinf*z2 + 17472*ln2^3*z2^2 + 
    18144*ln2^2*sinf*z2^2 - 201312*ln2*z2^3 - 105984*sinf*z2^3 - 
    40320*li4half*z3 - 42000*ln2^4*z3 - 53760*ln2^3*sinf*z3 + 
    252000*ln2^2*z2*z3 + 161280*ln2*sinf*z2*z3 + 421056*z2^2*z3 - 
    489600*ln2*z3^2 - 277200*sinf*z3^2 - 556920*ln2^2*z5 - 
    645120*ln2*sinf*z5 + 754920*z2*z5 - 1069605*z7)/161280, 
 H[1, -1, 1, 1, 1, 0, 0, 1] -> (1290240*li7half - 322560*li5half*ln2^2 + 
    2432*ln2^7 - 529920*ln2*s6 + 529920*s7a - 840960*s7b - 
    1290240*li6half*sinf - 645120*li5half*ln2*sinf + 3584*ln2^6*sinf - 
    564480*s6*sinf + 967680*li5half*z2 + 483840*li4half*ln2*z2 - 
    9408*ln2^5*z2 + 161280*li4half*sinf*z2 - 20160*ln2^4*sinf*z2 + 
    25536*ln2^3*z2^2 + 36288*ln2^2*sinf*z2^2 + 284832*ln2*z2^3 + 
    200448*sinf*z2^3 - 201600*li4half*z3 + 31920*ln2^4*z3 + 
    53760*ln2^3*sinf*z3 + 131040*ln2^2*z2*z3 + 196416*z2^2*z3 + 
    662400*ln2*z3^2 + 191520*sinf*z3^2 + 1494360*ln2^2*z5 + 
    332640*ln2*sinf*z5 + 2356920*z2*z5 - 7367625*z7)/322560, 
 H[1, -1, 1, 1, 1, 0, -1, 1] -> (5644800*li7half + 483840*li6half*ln2 - 
    322560*li5half*ln2^2 - 53760*li4half*ln2^3 - 806400*ln2*s6 + 443520*s7a - 
    1048320*s7b - 1774080*li6half*sinf - 645120*li5half*ln2*sinf - 
    80640*li4half*ln2^2*sinf - 448*ln2^6*sinf - 524160*s6*sinf + 
    161280*li4half*ln2*z2 + 4032*ln2^5*z2 + 161280*li4half*sinf*z2 + 
    6720*ln2^4*sinf*z2 + 133056*ln2^3*z2^2 + 92736*ln2^2*sinf*z2^2 + 
    643104*ln2*z2^3 + 266976*sinf*z2^3 - 383040*li4half*z3 - 46200*ln2^4*z3 - 
    40320*ln2^3*sinf*z3 + 277200*ln2^2*z2*z3 + 120960*ln2*sinf*z2*z3 + 
    590184*z2^2*z3 + 549360*ln2*z3^2 + 134820*sinf*z3^2 + 1377180*ln2^2*z5 - 
    136080*ln2*sinf*z5 + 3194100*z2*z5 - 11738475*z7)/161280, 
 H[1, -1, 1, 1, 1, -1, 1, 1] -> (967680*li7half - 161280*li5half*ln2^2 - 
    80640*li4half*ln2^3 - 2112*ln2^7 + 69120*ln2*s6 - 69120*s7a - 
    472320*s7b - 483840*li6half*sinf - 322560*li5half*ln2*sinf - 
    120960*li4half*ln2^2*sinf - 2912*ln2^6*sinf - 201600*s6*sinf + 
    161280*li5half*z2 + 241920*li4half*ln2*z2 + 17472*ln2^5*z2 + 
    120960*li4half*sinf*z2 + 16800*ln2^4*sinf*z2 - 47040*ln2^3*z2^2 - 
    30240*ln2^2*sinf*z2^2 + 288*ln2*z2^3 + 41472*sinf*z2^3 - 
    423360*li4half*z3 - 35280*ln2^4*z3 - 23520*ln2^3*sinf*z3 + 
    211680*ln2^2*z2*z3 + 70560*ln2*sinf*z2*z3 + 453312*z2^2*z3 - 
    86400*ln2*z3^2 + 13860*sinf*z3^2 + 713160*ln2^2*z5 + 322560*ln2*sinf*z5 + 
    1077480*z2*z5 - 3810105*z7)/80640, H[1, -1, 1, 1, 1, -1, 0, 1] -> 
  (-1290240*li7half + 215040*li5half*ln2^2 + 107520*li4half*ln2^3 + 
    2944*ln2^7 - 76800*ln2*s6 + 76800*s7a + 318720*s7b + 
    645120*li6half*sinf + 430080*li5half*ln2*sinf + 
    161280*li4half*ln2^2*sinf + 4032*ln2^6*sinf + 268800*s6*sinf - 
    161280*li4half*ln2*z2 - 17920*ln2^5*z2 - 107520*li4half*sinf*z2 - 
    20160*ln2^4*sinf*z2 + 36288*ln2^3*z2^2 + 29568*ln2^2*sinf*z2^2 - 
    12192*ln2*z2^3 - 52608*sinf*z2^3 + 389760*li4half*z3 + 38080*ln2^4*z3 + 
    29120*ln2^3*sinf*z3 - 134400*ln2^2*z2*z3 - 40320*ln2*sinf*z2*z3 - 
    363792*z2^2*z3 + 96000*ln2*z3^2 - 71400*sinf*z3^2 - 496440*ln2^2*z5 - 
    524160*ln2*sinf*z5 - 557400*z2*z5 + 2763555*z7)/107520, 
 H[1, -1, 1, 1, 1, -1, -1, 1] -> (-2903040*li7half + 161280*li5half*ln2^2 - 
    1152*ln2^7 + 725760*ln2*s6 - 725760*s7a + 1048320*s7b + 
    967680*li6half*sinf + 322560*li5half*ln2*sinf - 1792*ln2^6*sinf + 
    967680*s6*sinf - 161280*li5half*z2 + 10752*ln2^5*z2 + 
    13440*ln2^4*sinf*z2 - 13440*ln2^3*z2^2 + 14880*ln2*z2^3 - 
    2688*sinf*z2^3 - 35280*ln2^4*z3 - 47040*ln2^3*sinf*z3 + 
    211680*ln2^2*z2*z3 + 141120*ln2*sinf*z2*z3 - 274176*z2^2*z3 - 
    1229760*ln2*z3^2 - 385560*sinf*z3^2 - 3165120*ln2^2*z5 - 
    1602720*ln2*sinf*z5 - 2333520*z2*z5 + 6610905*z7)/322560, 
 H[1, -1, 1, 1, 0, 1, 1, 1] -> (4838400*li7half - 967680*li5half*ln2^2 - 
    322560*li4half*ln2^3 - 6336*ln2^7 + 207360*ln2*s6 - 207360*s7a - 
    1416960*s7b - 3225600*li6half*sinf - 1935360*li5half*ln2*sinf - 
    483840*li4half*ln2^2*sinf - 8512*ln2^6*sinf - 1209600*s6*sinf + 
    967680*li5half*z2 + 967680*li4half*ln2*z2 + 52416*ln2^5*z2 + 
    483840*li4half*sinf*z2 + 47040*ln2^4*sinf*z2 - 205632*ln2^3*z2^2 - 
    100800*ln2^2*sinf*z2^2 + 194400*ln2*z2^3 + 248832*sinf*z2^3 - 
    2661120*li4half*z3 - 105840*ln2^4*z3 + 6720*ln2^3*sinf*z3 + 
    635040*ln2^2*z2*z3 - 20160*ln2*sinf*z2*z3 + 1021248*z2^2*z3 - 
    259200*ln2*z3^2 + 612360*sinf*z3^2 + 2139480*ln2^2*z5 + 
    1935360*ln2*sinf*z5 + 3232440*z2*z5 - 11430315*z7)/322560, 
 H[1, -1, 1, 1, 0, 1, 0, 1] -> (-1290240*li7half + 107520*li5half*ln2^2 - 
    640*ln2^7 + 23040*ln2*s6 - 23040*s7a + 514560*s7b + 645120*li6half*sinf + 
    215040*li5half*ln2*sinf - 896*ln2^6*sinf + 228480*s6*sinf - 
    215040*li5half*z2 - 241920*li4half*ln2*z2 - 4704*ln2^5*z2 - 
    80640*li4half*sinf*z2 + 1120*ln2^4*sinf*z2 + 14560*ln2^3*z2^2 - 
    14112*ln2^2*sinf*z2^2 - 66720*ln2*z2^3 - 78208*sinf*z2^3 + 
    584640*li4half*z3 + 10920*ln2^4*z3 - 17920*ln2^3*sinf*z3 - 
    220080*ln2^2*z2*z3 - 23520*ln2*sinf*z2*z3 - 329208*z2^2*z3 - 
    28800*ln2*z3^2 - 102480*sinf*z3^2 - 551460*ln2^2*z5 - 61320*ln2*sinf*z5 - 
    1478340*z2*z5 + 4403325*z7)/53760, H[1, -1, 1, 1, 0, 1, -1, 1] -> 
  (-33868800*li7half - 2257920*li6half*ln2 + 967680*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 8960*ln2^7 + 6428160*ln2*s6 - 6670080*s7a + 
    8328960*s7b + 8709120*li6half*sinf + 1935360*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 10752*ln2^6*sinf + 3467520*s6*sinf - 
    967680*li5half*z2 - 1128960*li4half*ln2*z2 + 34944*ln2^5*z2 + 
    161280*li4half*sinf*z2 + 107520*ln2^4*sinf*z2 - 1067136*ln2^3*z2^2 - 
    951552*ln2^2*sinf*z2^2 - 2922912*ln2*z2^3 - 1301184*sinf*z2^3 + 
    403200*li4half*z3 + 82320*ln2^4*z3 + 87360*ln2^3*sinf*z3 - 
    493920*ln2^2*z2*z3 + 161280*ln2*sinf*z2*z3 - 2260512*z2^2*z3 - 
    7647120*ln2*z3^2 - 1476720*sinf*z3^2 - 14326200*ln2^2*z5 + 
    408240*ln2*sinf*z5 - 25139160*z2*z5 + 74215845*z7)/322560, 
 H[1, -1, 1, 1, 0, 0, 1, 1] -> (1290240*li7half + 322560*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 6016*ln2^7 - 1405440*ln2*s6 + 1405440*s7a - 
    771840*s7b + 645120*li5half*ln2*sinf + 322560*li4half*ln2^2*sinf + 
    8064*ln2^6*sinf - 483840*s6*sinf + 967680*li5half*z2 - 
    645120*li4half*ln2*z2 - 56448*ln2^5*z2 - 645120*li4half*sinf*z2 - 
    53760*ln2^4*sinf*z2 + 311808*ln2^3*z2^2 + 258048*ln2^2*sinf*z2^2 + 
    431136*ln2*z2^3 + 99456*sinf*z2^3 + 806400*li4half*z3 + 73920*ln2^4*z3 + 
    53760*ln2^3*sinf*z3 - 423360*ln2^2*z2*z3 - 120960*ln2*sinf*z2*z3 - 
    568368*z2^2*z3 + 1756800*ln2*z3^2 + 451080*sinf*z3^2 + 1794240*ln2^2*z5 - 
    630000*ln2*sinf*z5 + 2796480*z2*z5 - 5666445*z7)/322560, 
 H[1, -1, 1, 1, 0, 0, 0, 1] -> (99840*ln2*s6 - 99840*s7a + 7680*s7b + 
    40320*s6*sinf + 53760*li5half*z2 + 80640*li4half*ln2*z2 + 2912*ln2^5*z2 + 
    26880*li4half*sinf*z2 + 1120*ln2^4*sinf*z2 - 22176*ln2^3*z2^2 - 
    11424*ln2^2*sinf*z2^2 - 10848*ln2*z2^3 - 5664*sinf*z2^3 - 
    114240*li4half*z3 - 4760*ln2^4*z3 + 55440*ln2^2*z2*z3 + 
    13440*ln2*sinf*z2*z3 + 49536*z2^2*z3 - 124800*ln2*z3^2 - 
    27300*sinf*z3^2 - 116340*ln2^2*z5 - 24360*ln2*sinf*z5 - 77160*z2*z5 - 
    8205*z7)/26880, H[1, -1, 1, 1, 0, 0, -1, 1] -> 
  (-1935360*li7half - 645120*li6half*ln2 - 322560*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 6784*ln2^7 + 748800*ln2*s6 - 23040*s7a - 
    1071360*s7b - 645120*li6half*sinf - 645120*li5half*ln2*sinf - 
    322560*li4half*ln2^2*sinf - 8960*ln2^6*sinf - 80640*s6*sinf + 
    967680*li5half*z2 + 645120*li4half*ln2*z2 + 51072*ln2^5*z2 + 
    161280*li4half*sinf*z2 + 47040*ln2^4*sinf*z2 - 159936*ln2^3*z2^2 - 
    60480*ln2^2*sinf*z2^2 - 477792*ln2*z2^3 + 54912*sinf*z2^3 - 
    1653120*li4half*z3 - 109200*ln2^4*z3 - 53760*ln2^3*sinf*z3 + 
    665280*ln2^2*z2*z3 + 181440*ln2*sinf*z2*z3 + 684000*z2^2*z3 - 
    565560*ln2*z3^2 + 166320*sinf*z3^2 + 1018080*ln2^2*z5 + 
    5040*ln2*sinf*z5 + 3250440*z2*z5 - 5210685*z7)/322560, 
 H[1, -1, 1, 1, 0, -1, 1, 1] -> (25804800*li7half + 752640*li4half*ln2^3 + 
    26240*ln2^7 - 7142400*ln2*s6 + 7142400*s7a - 6324480*s7b - 
    4838400*li6half*sinf + 967680*li5half*ln2*sinf + 
    1128960*li4half*ln2^2*sinf + 32256*ln2^6*sinf - 2983680*s6*sinf - 
    806400*li4half*ln2*z2 - 174720*ln2^5*z2 - 1128960*li4half*sinf*z2 - 
    228480*ln2^4*sinf*z2 + 1459584*ln2^3*z2^2 + 1169280*ln2^2*sinf*z2^2 + 
    2657376*ln2*z2^3 + 818496*sinf*z2^3 + 2378880*li4half*z3 + 
    164640*ln2^4*z3 + 87360*ln2^3*sinf*z3 - 987840*ln2^2*z2*z3 - 
    685440*ln2*sinf*z2*z3 + 82512*z2^2*z3 + 8928000*ln2*z3^2 + 
    1577520*sinf*z3^2 + 11844000*ln2^2*z5 - 997920*ln2*sinf*z5 + 
    20201040*z2*z5 - 53630415*z7)/322560, H[1, -1, 1, 1, 0, -1, 0, 1] -> 
  (-1290240*li7half + 107520*li5half*ln2^2 - 640*ln2^7 + 426240*ln2*s6 - 
    426240*s7a + 460800*s7b + 645120*li6half*sinf + 215040*li5half*ln2*sinf - 
    896*ln2^6*sinf + 376320*s6*sinf + 188160*li5half*z2 + 
    241920*li4half*ln2*z2 + 12096*ln2^5*z2 + 80640*li4half*sinf*z2 + 
    7840*ln2^4*sinf*z2 - 77952*ln2^3*z2^2 - 57120*ln2^2*sinf*z2^2 - 
    71424*ln2*z2^3 - 95168*sinf*z2^3 - 20160*li4half*z3 - 10920*ln2^4*z3 - 
    13440*ln2^3*sinf*z3 + 31920*ln2^2*z2*z3 + 23520*ln2*sinf*z2*z3 - 
    39408*z2^2*z3 - 532800*ln2*z3^2 - 194880*sinf*z3^2 - 945840*ln2^2*z5 - 
    173040*ln2*sinf*z5 - 1795860*z2*z5 + 3693525*z7)/53760, 
 H[1, -1, 1, 1, 0, -1, -1, 1] -> (1290240*li7half + 967680*li6half*ln2 - 
    107520*li4half*ln2^3 - 3392*ln2^7 + 69120*ln2*s6 + 334080*s7a - 
    472320*s7b - 322560*li5half*ln2*sinf - 161280*li4half*ln2^2*sinf - 
    4032*ln2^6*sinf - 80640*s6*sinf + 161280*li5half*z2 + 
    161280*li4half*ln2*z2 + 17472*ln2^5*z2 + 13440*ln2^4*sinf*z2 - 
    92736*ln2^3*z2^2 - 64512*ln2^2*sinf*z2^2 - 108576*ln2*z2^3 - 
    19776*sinf*z2^3 - 80640*li4half*z3 - 1680*ln2^4*z3 + 2240*ln2^3*sinf*z3 + 
    10080*ln2^2*z2*z3 - 6720*ln2*sinf*z2*z3 + 143856*z2^2*z3 + 
    266400*ln2*z3^2 + 42000*sinf*z3^2 + 1260000*ln2^2*z5 + 
    488880*ln2*sinf*z5 + 1168200*z2*z5 - 3323745*z7)/107520, 
 H[1, -1, 1, 1, -1, 1, 1, 1] -> (-2903040*li7half + 967680*li5half*ln2^2 + 
    322560*li4half*ln2^3 + 6336*ln2^7 - 207360*ln2*s6 + 207360*s7a + 
    1416960*s7b + 2903040*li6half*sinf + 1935360*li5half*ln2*sinf + 
    483840*li4half*ln2^2*sinf + 8512*ln2^6*sinf + 1209600*s6*sinf - 
    967680*li5half*z2 - 967680*li4half*ln2*z2 - 52416*ln2^5*z2 - 
    483840*li4half*sinf*z2 - 47040*ln2^4*sinf*z2 + 141120*ln2^3*z2^2 + 
    100800*ln2^2*sinf*z2^2 - 864*ln2*z2^3 - 248832*sinf*z2^3 + 
    1693440*li4half*z3 + 105840*ln2^4*z3 + 47040*ln2^3*sinf*z3 - 
    635040*ln2^2*z2*z3 - 141120*ln2*sinf*z2*z3 - 1359936*z2^2*z3 + 
    259200*ln2*z3^2 - 330120*sinf*z3^2 - 2139480*ln2^2*z5 - 
    1935360*ln2*sinf*z5 - 3232440*z2*z5 + 11430315*z7)/322560, 
 H[1, -1, 1, 1, -1, 1, 0, 1] -> (322560*li7half - 268800*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 2304*ln2^7 - 276480*ln2*s6 + 276480*s7a - 
    234240*s7b - 645120*li6half*sinf - 537600*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 3136*ln2^6*sinf - 456960*s6*sinf - 
    53760*li5half*z2 - 161280*li4half*ln2*z2 + 2688*ln2^5*z2 + 
    11200*ln2^4*sinf*z2 + 31808*ln2^3*z2^2 + 2688*ln2^2*sinf*z2^2 - 
    74400*ln2*z2^3 + 30144*sinf*z2^3 - 40320*li4half*z3 - 15120*ln2^4*z3 - 
    17920*ln2^3*sinf*z3 - 97440*ln2^2*z2*z3 - 40320*ln2*sinf*z2*z3 + 
    62304*z2^2*z3 + 345600*ln2*z3^2 + 218400*sinf*z3^2 + 909720*ln2^2*z5 + 
    829920*ln2*sinf*z5 + 425160*z2*z5 - 590955*z7)/107520, 
 H[1, -1, 1, 1, -1, 1, -1, 1] -> (967680*li7half - 241920*li5half*ln2^2 + 
    1632*ln2^7 - 380160*ln2*s6 + 380160*s7a - 587520*s7b - 
    967680*li6half*sinf - 483840*li5half*ln2*sinf + 2464*ln2^6*sinf - 
    967680*s6*sinf + 241920*li5half*z2 - 14112*ln2^5*z2 - 
    16800*ln2^4*sinf*z2 + 30240*ln2^3*z2^2 + 10080*ln2^2*sinf*z2^2 - 
    96768*ln2*z2^3 + 6048*sinf*z2^3 + 35280*ln2^4*z3 + 47040*ln2^3*sinf*z3 - 
    211680*ln2^2*z2*z3 - 141120*ln2*sinf*z2*z3 + 141696*z2^2*z3 + 
    797760*ln2*z3^2 + 385560*sinf*z3^2 + 1772820*ln2^2*z5 + 
    1670760*ln2*sinf*z5 + 920700*z2*z5 - 2641545*z7)/161280, 
 H[1, -1, 1, 1, -1, 0, 1, 1] -> (1128960*li7half - 564480*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 4480*ln2^7 + 322560*ln2*s6 - 322560*s7a - 
    806400*s7b - 1451520*li6half*sinf - 1128960*li5half*ln2*sinf - 
    322560*li4half*ln2^2*sinf - 6048*ln2^6*sinf - 604800*s6*sinf + 
    1048320*li5half*z2 + 645120*li4half*ln2*z2 + 34944*ln2^5*z2 + 
    322560*li4half*sinf*z2 + 36960*ln2^4*sinf*z2 - 131712*ln2^3*z2^2 - 
    118944*ln2^2*sinf*z2^2 + 24192*ln2*z2^3 + 96192*sinf*z2^3 - 
    1128960*li4half*z3 - 59640*ln2^4*z3 - 16800*ln2^3*sinf*z3 + 
    428400*ln2^2*z2*z3 + 191520*ln2*sinf*z2*z3 + 825048*z2^2*z3 - 
    403200*ln2*z3^2 + 138600*sinf*z3^2 + 1025640*ln2^2*z5 + 
    1113840*ln2*sinf*z5 + 1622880*z2*z5 - 6546015*z7)/161280, 
 H[1, -1, 1, 1, -1, 0, 0, 1] -> (-1935360*li7half + 645120*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 3968*ln2^7 + 990720*ln2*s6 - 990720*s7a + 
    1186560*s7b + 1935360*li6half*sinf + 1290240*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 5376*ln2^6*sinf + 1370880*s6*sinf - 
    322560*li5half*z2 + 322560*li4half*ln2*z2 + 8064*ln2^5*z2 - 
    13440*ln2^4*sinf*z2 - 173376*ln2^3*z2^2 - 76608*ln2^2*sinf*z2^2 - 
    170784*ln2*z2^3 - 146880*sinf*z2^3 + 80640*li4half*z3 + 33600*ln2^4*z3 + 
    40320*ln2^3*sinf*z3 + 322560*ln2^2*z2*z3 + 141120*ln2*sinf*z2*z3 - 
    405648*z2^2*z3 - 1238400*ln2*z3^2 - 564480*sinf*z3^2 - 3056760*ln2^2*z5 - 
    1895040*ln2*sinf*z5 - 2772360*z2*z5 + 6668595*z7)/322560, 
 H[1, -1, 1, 1, -1, 0, -1, 1] -> (-4838400*li7half - 483840*li6half*ln2 - 
    80640*li5half*ln2^2 - 215040*li4half*ln2^3 - 8000*ln2^7 + 
    1710720*ln2*s6 - 1347840*s7a + 587520*s7b + 967680*li6half*sinf - 
    161280*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 10752*ln2^6*sinf + 
    967680*s6*sinf + 322560*li5half*z2 + 645120*li4half*ln2*z2 + 
    63840*ln2^5*z2 + 322560*li4half*sinf*z2 + 63840*ln2^4*sinf*z2 - 
    307776*ln2^3*z2^2 - 213696*ln2^2*sinf*z2^2 - 575712*ln2*z2^3 - 
    118944*sinf*z2^3 - 1128960*li4half*z3 - 105000*ln2^4*z3 - 
    77280*ln2^3*sinf*z3 + 665280*ln2^2*z2*z3 + 302400*ln2*sinf*z2*z3 + 
    395064*z2^2*z3 - 2059020*ln2*z3^2 - 451080*sinf*z3^2 - 2236500*ln2^2*z5 - 
    723240*ln2*sinf*z5 - 1526760*z2*z5 + 5499225*z7)/161280, 
 H[1, -1, 1, 1, -1, -1, 1, 1] -> (-967680*li7half - 192*ln2^7 + 
    380160*ln2*s6 - 380160*s7a + 587520*s7b - 448*ln2^6*sinf + 
    4032*ln2^5*z2 + 6720*ln2^4*sinf*z2 + 20160*ln2^3*z2^2 + 
    20160*ln2^2*sinf*z2^2 + 87264*ln2*z2^3 - 9792*sinf*z2^3 - 
    35280*ln2^4*z3 - 47040*ln2^3*sinf*z3 + 50400*ln2^2*z2*z3 - 
    20160*ln2*sinf*z2*z3 - 254592*z2^2*z3 - 475200*ln2*z3^2 + 
    37800*sinf*z3^2 - 1655640*ln2^2*z5 + 15120*ln2*sinf*z5 - 1037880*z2*z5 + 
    2791485*z7)/322560, H[1, -1, 1, 1, -1, -1, 0, 1] -> 
  (-322560*li7half + 322560*li5half*ln2^2 + 107520*li4half*ln2^3 + 
    1856*ln2^7 - 46080*ln2*s6 + 46080*s7a + 529920*s7b + 
    806400*li6half*sinf + 645120*li5half*ln2*sinf + 
    161280*li4half*ln2^2*sinf + 2464*ln2^6*sinf + 403200*s6*sinf - 
    322560*li5half*z2 - 322560*li4half*ln2*z2 - 16800*ln2^5*z2 - 
    161280*li4half*sinf*z2 - 13440*ln2^4*sinf*z2 + 59808*ln2^3*z2^2 + 
    36288*ln2^2*sinf*z2^2 + 148320*ln2*z2^3 - 39744*sinf*z2^3 + 
    564480*li4half*z3 + 26040*ln2^4*z3 + 3360*ln2^3*sinf*z3 - 
    297360*ln2^2*z2*z3 - 80640*ln2*sinf*z2*z3 - 379656*z2^2*z3 + 
    57600*ln2*z3^2 - 142380*sinf*z3^2 - 817740*ln2^2*z5 - 
    698040*ln2*sinf*z5 - 1578060*z2*z5 + 3773925*z7)/161280, 
 H[1, -1, 1, 1, -1, -1, -1, 1] -> (322560*li7half - 40320*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 752*ln2^7 - 31680*ln2*s6 + 31680*s7a - 190080*s7b - 
    80640*li6half*sinf - 80640*li5half*ln2*sinf - 40320*li4half*ln2^2*sinf - 
    1008*ln2^6*sinf + 20160*s6*sinf + 40320*li5half*z2 + 
    80640*li4half*ln2*z2 + 5712*ln2^5*z2 + 40320*li4half*sinf*z2 + 
    5040*ln2^4*sinf*z2 - 21840*ln2^3*z2^2 - 15120*ln2^2*sinf*z2^2 - 
    21840*ln2*z2^3 + 9984*sinf*z2^3 - 141120*li4half*z3 - 5880*ln2^4*z3 + 
    75600*ln2^2*z2*z3 + 40320*ln2*sinf*z2*z3 + 123696*z2^2*z3 - 
    720*ln2*z3^2 - 17640*sinf*z3^2 + 374850*ln2^2*z5 - 42840*ln2*sinf*z5 + 
    586710*z2*z5 - 1457685*z7)/80640, H[1, -1, 1, 0, 1, 1, 1, 1] -> 
  (-483840*li7half + 161280*li5half*ln2^2 + 80640*li4half*ln2^3 + 
    2112*ln2^7 - 69120*ln2*s6 + 69120*s7a + 472320*s7b + 
    403200*li6half*sinf + 322560*li5half*ln2*sinf + 
    120960*li4half*ln2^2*sinf + 2912*ln2^6*sinf + 201600*s6*sinf - 
    161280*li5half*z2 - 241920*li4half*ln2*z2 - 17472*ln2^5*z2 - 
    120960*li4half*sinf*z2 - 16800*ln2^4*sinf*z2 + 36288*ln2^3*z2^2 + 
    14112*ln2^2*sinf*z2^2 + 31968*ln2*z2^3 - 25344*sinf*z2^3 + 
    423360*li4half*z3 + 35280*ln2^4*z3 + 23520*ln2^3*sinf*z3 - 
    211680*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 - 509760*z2^2*z3 + 
    86400*ln2*z3^2 - 13860*sinf*z3^2 - 551880*ln2^2*z5 - 322560*ln2*sinf*z5 - 
    1238760*z2*z5 + 3810105*z7)/80640, H[1, -1, 1, 0, 1, 1, 0, 1] -> 
  (322560*ln2*s6 - 322560*s7a - 510720*s7b + 107520*s6*sinf + 
    430080*li5half*z2 + 483840*li4half*ln2*z2 + 16576*ln2^5*z2 + 
    161280*li4half*sinf*z2 + 6720*ln2^4*sinf*z2 - 67200*ln2^3*z2^2 - 
    13440*ln2^2*sinf*z2^2 - 58464*ln2*z2^3 + 7680*sinf*z2^3 - 
    524160*li4half*z3 - 21840*ln2^4*z3 + 426720*ln2^2*z2*z3 + 
    147840*ln2*sinf*z2*z3 + 659232*z2^2*z3 - 403200*ln2*z3^2 - 
    188160*sinf*z3^2 + 33600*ln2^2*z5 - 297360*ln2*sinf*z5 + 1518720*z2*z5 - 
    4734555*z7)/107520, H[1, -1, 1, 0, 1, 1, -1, 1] -> 
  (3507840*li7half + 80640*li6half*ln2 - 161280*li5half*ln2^2 - 
    13440*li4half*ln2^3 + 200*ln2^7 - 777600*ln2*s6 + 807840*s7a - 
    1077120*s7b - 1088640*li6half*sinf - 322560*li5half*ln2*sinf - 
    20160*li4half*ln2^2*sinf + 336*ln2^6*sinf - 433440*s6*sinf + 
    161280*li5half*z2 + 40320*li4half*ln2*z2 - 6888*ln2^5*z2 + 
    20160*li4half*sinf*z2 - 13440*ln2^4*sinf*z2 + 172200*ln2^3*z2^2 + 
    98280*ln2^2*sinf*z2^2 + 292392*ln2*z2^3 + 154080*sinf*z2^3 - 
    70560*li4half*z3 - 16170*ln2^4*z3 - 17640*ln2^3*sinf*z3 + 
    44100*ln2^2*z2*z3 + 52920*ln2*sinf*z2*z3 + 365238*z2^2*z3 + 
    861750*ln2*z3^2 + 149310*sinf*z3^2 + 1818810*ln2^2*z5 - 
    14490*ln2*sinf*z5 + 3230190*z2*z5 - 8940195*z7)/40320, 
 H[1, -1, 1, 0, 1, 0, 1, 1] -> (2580480*li7half - 645120*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 4096*ln2^7 - 253440*ln2*s6 + 253440*s7a - 
    794880*s7b - 1935360*li6half*sinf - 1290240*li5half*ln2*sinf - 
    322560*li4half*ln2^2*sinf - 5376*ln2^6*sinf - 766080*s6*sinf + 
    1290240*li5half*z2 + 645120*li4half*ln2*z2 + 26880*ln2^5*z2 + 
    161280*li4half*sinf*z2 + 20160*ln2^4*sinf*z2 - 69888*ln2^3*z2^2 - 
    64512*ln2^2*sinf*z2^2 + 301536*ln2*z2^3 + 210528*sinf*z2^3 - 
    806400*li4half*z3 - 33600*ln2^4*z3 + 181440*ln2^2*z2*z3 - 
    40320*ln2*sinf*z2*z3 + 430128*z2^2*z3 + 316800*ln2*z3^2 + 
    299880*sinf*z3^2 + 1645560*ln2^2*z5 + 1260000*ln2*sinf*z5 + 
    1445400*z2*z5 - 6850485*z7)/161280, H[1, -1, 1, 0, 1, 0, 0, 1] -> 
  (-134400*ln2*s6 + 134400*s7a + 215040*s7b - 53760*s6*sinf - 
    430080*li5half*z2 - 322560*li4half*ln2*z2 - 9856*ln2^5*z2 - 
    107520*li4half*sinf*z2 - 4480*ln2^4*sinf*z2 + 23296*ln2^3*z2^2 - 
    5376*ln2^2*sinf*z2^2 + 38304*ln2*z2^3 + 32800*sinf*z2^3 + 
    295680*li4half*z3 + 12320*ln2^4*z3 - 181440*ln2^2*z2*z3 - 
    53760*ln2*sinf*z2*z3 - 358848*z2^2*z3 + 168000*ln2*z3^2 + 
    68880*sinf*z3^2 - 43680*ln2^2*z5 + 68880*ln2*sinf*z5 - 287280*z2*z5 + 
    1748145*z7)/53760, H[1, -1, 1, 0, 1, 0, -1, 1] -> 
  (-3870720*li7half + 1290240*li6half*ln2 + 1290240*li5half*ln2^2 + 
    430080*li4half*ln2^3 + 9728*ln2^7 + 1002240*ln2*s6 + 46080*s7a + 
    288000*s7b + 5160960*li6half*sinf + 2580480*li5half*ln2*sinf + 
    645120*li4half*ln2^2*sinf + 12544*ln2^6*sinf + 1290240*s6*sinf - 
    645120*li5half*z2 - 1290240*li4half*ln2*z2 - 91392*ln2^5*z2 - 
    806400*li4half*sinf*z2 - 87360*ln2^4*sinf*z2 + 77952*ln2^3*z2^2 - 
    84672*ln2^2*sinf*z2^2 - 688032*ln2*z2^3 - 639360*sinf*z2^3 + 
    2459520*li4half*z3 + 243600*ln2^4*z3 + 188160*ln2^3*sinf*z3 - 
    1481760*ln2^2*z2*z3 - 604800*ln2*sinf*z2*z3 - 1414368*z2^2*z3 + 
    1675440*ln2*z3^2 - 332640*sinf*z3^2 - 244440*ln2^2*z5 - 
    20160*ln2*sinf*z5 - 1135800*z2*z5 + 8197155*z7)/322560, 
 H[1, -1, 1, 0, 1, -1, 1, 1] -> (-4838400*li7half + 161280*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 1504*ln2^7 + 1221120*ln2*s6 - 1221120*s7a + 
    1440000*s7b + 1290240*li6half*sinf + 215040*li5half*ln2*sinf - 
    40320*li4half*ln2^2*sinf - 1680*ln2^6*sinf + 698880*s6*sinf - 
    161280*li5half*z2 + 80640*li4half*ln2*z2 + 18144*ln2^5*z2 + 
    40320*li4half*sinf*z2 + 22960*ln2^4*sinf*z2 - 232288*ln2^3*z2^2 - 
    150192*ln2^2*sinf*z2^2 - 398976*ln2*z2^3 - 163440*sinf*z2^3 - 
    141120*li4half*z3 - 5880*ln2^4*z3 + 105840*ln2^2*z2*z3 - 349320*z2^2*z3 - 
    1526400*ln2*z3^2 - 262080*sinf*z3^2 - 2758560*ln2^2*z5 - 
    204960*ln2*sinf*z5 - 4132560*z2*z5 + 11415885*z7)/26880, 
 H[1, -1, 1, 0, 1, -1, 0, 1] -> (30965760*li7half - 2580480*li5half*ln2^2 - 
    430080*li4half*ln2^3 - 2560*ln2^7 - 8824320*ln2*s6 + 8824320*s7a - 
    8674560*s7b - 15482880*li6half*sinf - 5160960*li5half*ln2*sinf - 
    645120*li4half*ln2^2*sinf - 5376*ln2^6*sinf - 8386560*s6*sinf - 
    1935360*li5half*z2 - 2096640*li4half*ln2*z2 - 49728*ln2^5*z2 - 
    483840*li4half*sinf*z2 + 33600*ln2^4*sinf*z2 + 1124928*ln2^3*z2^2 + 
    1108800*ln2^2*sinf*z2^2 + 2155104*ln2*z2^3 + 1965312*sinf*z2^3 + 
    1411200*li4half*z3 + 58800*ln2^4*z3 - 675360*ln2^2*z2*z3 - 
    161280*ln2*sinf*z2*z3 + 1341792*z2^2*z3 + 11030400*ln2*z3^2 + 
    3306240*sinf*z3^2 + 19507320*ln2^2*z5 + 5110560*ln2*sinf*z5 + 
    27474840*z2*z5 - 67809015*z7)/322560, H[1, -1, 1, 0, 1, -1, -1, 1] -> 
  (29998080*li7half - 1935360*li6half*ln2 - 1290240*li5half*ln2^2 + 
    537600*li4half*ln2^3 + 24512*ln2^7 - 8536320*ln2*s6 + 6600960*s7a - 
    8720640*s7b - 9676800*li6half*sinf - 1290240*li5half*ln2*sinf + 
    806400*li4half*ln2^2*sinf + 30912*ln2^6*sinf - 5644800*s6*sinf + 
    645120*li5half*z2 - 1128960*li4half*ln2*z2 - 209664*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 241920*ln2^4*sinf*z2 + 1790208*ln2^3*z2^2 + 
    1120896*ln2^2*sinf*z2^2 + 2703456*ln2*z2^3 + 1108800*sinf*z2^3 + 
    1249920*li4half*z3 + 157920*ln2^4*z3 + 141120*ln2^3*sinf*z3 - 
    1370880*ln2^2*z2*z3 - 423360*ln2*sinf*z2*z3 + 1777392*z2^2*z3 + 
    10564560*ln2*z3^2 + 2222640*sinf*z3^2 + 17166240*ln2^2*z5 + 
    2772000*ln2*sinf*z5 + 24709680*z2*z5 - 68842755*z7)/322560, 
 H[1, -1, 1, 0, 0, 1, 1, 1] -> (-483840*li7half + 80640*li5half*ln2^2 - 
    576*ln2^7 + 112320*ln2*s6 - 112320*s7a + 28800*s7b + 
    322560*li6half*sinf + 161280*li5half*ln2*sinf - 896*ln2^6*sinf + 
    100800*s6*sinf - 80640*li5half*z2 + 5376*ln2^5*z2 + 6720*ln2^4*sinf*z2 - 
    9408*ln2^3*z2^2 - 4032*ln2^2*sinf*z2^2 - 18432*ln2*z2^3 - 
    19152*sinf*z2^3 + 241920*li4half*z3 - 7560*ln2^4*z3 - 
    23520*ln2^3*sinf*z3 + 45360*ln2^2*z2*z3 + 70560*ln2*sinf*z2*z3 + 
    142416*z2^2*z3 - 140400*ln2*z3^2 - 139860*sinf*z3^2 - 215460*ln2^2*z5 - 
    157500*ln2*sinf*z5 - 10260*z2*z5 - 254655*z7)/80640, 
 H[1, -1, 1, 0, 0, 1, 0, 1] -> (-11520*ln2*s6 + 11520*s7a - 82560*s7b - 
    26880*s6*sinf + 53760*li5half*z2 - 448*ln2^5*z2 + 15232*ln2^3*z2^2 + 
    16128*ln2^2*sinf*z2^2 - 48864*ln2*z2^3 - 24016*sinf*z2^3 - 
    161280*li4half*z3 - 6720*ln2^4*z3 + 20160*ln2^2*z2*z3 - 
    10080*ln2*sinf*z2*z3 + 106728*z2^2*z3 + 14400*ln2*z3^2 + 
    47040*sinf*z3^2 + 112560*ln2^2*z5 + 42840*ln2*sinf*z5 + 93420*z2*z5 - 
    233175*z7)/26880, H[1, -1, 1, 0, 0, 1, -1, 1] -> 
  (967680*li7half + 322560*li6half*ln2 - 80640*li5half*ln2^2 + 928*ln2^7 + 
    118080*ln2*s6 - 97920*s7a + 23040*s7b - 161280*li5half*ln2*sinf + 
    1344*ln2^6*sinf + 80640*li5half*z2 + 362880*li4half*ln2*z2 + 
    5040*ln2^5*z2 - 13440*ln2^4*sinf*z2 - 45024*ln2^3*z2^2 - 
    19152*ln2^2*sinf*z2^2 + 8640*ln2*z2^3 - 19152*sinf*z2^3 - 
    241920*li4half*z3 - 10080*ln2^4*z3 + 60480*ln2^2*z2*z3 - 
    120960*ln2*sinf*z2*z3 + 118872*z2^2*z3 - 182880*ln2*z3^2 + 
    40320*sinf*z3^2 + 78750*ln2^2*z5 + 391860*ln2*sinf*z5 - 267390*z2*z5 - 
    736515*z7)/80640, H[1, -1, 1, 0, 0, 0, 1, 1] -> 
  (11520*ln2*s6 - 11520*s7a + 203520*s7b + 80640*s6*sinf - 
    107520*li5half*z2 + 896*ln2^5*z2 - 16128*ln2^3*z2^2 - 
    10752*ln2^2*sinf*z2^2 + 43488*ln2*z2^3 + 24832*sinf*z2^3 + 
    161280*li4half*z3 + 6720*ln2^4*z3 - 60480*ln2^2*z2*z3 - 
    40320*ln2*sinf*z2*z3 - 145872*z2^2*z3 - 14400*ln2*z3^2 - 
    44520*sinf*z3^2 - 236880*ln2^2*z5 - 57120*ln2*sinf*z5 - 709560*z2*z5 + 
    1464615*z7)/53760, H[1, -1, 1, 0, 0, 0, 0, 1] -> 
  (-4480*s7b + 2016*ln2*z2^3 + 1776*sinf*z2^3 + 4928*z2^2*z3 - 
    1260*sinf*z3^2 + 2240*ln2^2*z5 - 4200*ln2*sinf*z5 + 24360*z2*z5 - 
    62475*z7)/4480, H[1, -1, 1, 0, 0, 0, -1, 1] -> 
  (-1920*ln2*s6 - 65280*s7a + 216960*s7b + 107520*s6*sinf - 
    26880*li5half*z2 + 224*ln2^5*z2 - 5376*ln2^3*z2^2 - 
    4704*ln2^2*sinf*z2^2 + 78816*ln2*z2^3 + 26800*sinf*z2^3 + 
    60480*li4half*z3 + 2520*ln2^4*z3 - 20160*ln2^2*z2*z3 - 
    10080*ln2*sinf*z2*z3 - 92112*z2^2*z3 - 106380*ln2*z3^2 - 
    47880*sinf*z3^2 - 363300*ln2^2*z5 - 179760*ln2*sinf*z5 - 589650*z2*z5 + 
    1047975*z7)/26880, H[1, -1, 1, 0, 0, -1, 1, 1] -> 
  (1290240*li7half + 322560*li5half*ln2^2 - 2944*ln2^7 - 1912320*ln2*s6 + 
    1912320*s7a - 1393920*s7b - 1935360*li6half*sinf - 2688*ln2^6*sinf - 
    1370880*s6*sinf - 322560*li5half*z2 - 1451520*li4half*ln2*z2 - 
    25536*ln2^5*z2 + 40320*ln2^4*sinf*z2 + 252672*ln2^3*z2^2 + 
    185472*ln2^2*sinf*z2^2 + 106272*ln2*z2^3 + 260928*sinf*z2^3 + 
    1572480*li4half*z3 + 65520*ln2^4*z3 - 393120*ln2^2*z2*z3 + 
    483840*ln2*sinf*z2*z3 - 209088*z2^2*z3 + 2390400*ln2*z3^2 + 
    252000*sinf*z3^2 + 3830400*ln2^2*z5 - 151200*ln2*sinf*z5 + 
    3570480*z2*z5 - 5887935*z7)/322560, H[1, -1, 1, 0, 0, -1, 0, 1] -> 
  (-60480*s7b - 13440*s6*sinf + 13440*li5half*z2 - 112*ln2^5*z2 + 
    5824*ln2^3*z2^2 + 7056*ln2^2*sinf*z2^2 - 25032*ln2*z2^3 - 
    7480*sinf*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 25200*ln2^2*z2*z3 + 
    5040*ln2*sinf*z2*z3 + 66612*z2^2*z3 + 10080*sinf*z3^2 + 60900*ln2^2*z5 + 
    4620*ln2*sinf*z5 + 200235*z2*z5 - 419265*z7)/13440, 
 H[1, -1, 1, 0, 0, -1, -1, 1] -> (-4515840*li7half - 2580480*li6half*ln2 - 
    322560*li5half*ln2^2 + 368640*ln2*s6 - 1013760*s7a + 1486080*s7b - 
    645120*li6half*sinf - 896*ln2^6*sinf + 403200*s6*sinf + 
    322560*li4half*ln2*z2 + 21504*ln2^5*z2 + 322560*li4half*sinf*z2 + 
    26880*ln2^4*sinf*z2 + 40320*ln2^2*sinf*z2^2 + 133920*ln2*z2^3 + 
    137088*sinf*z2^3 - 927360*li4half*z3 - 109200*ln2^4*z3 - 
    94080*ln2^3*sinf*z3 + 655200*ln2^2*z2*z3 + 282240*ln2*sinf*z2*z3 + 
    71712*z2^2*z3 - 2083680*ln2*z3^2 - 241920*sinf*z3^2 - 3830400*ln2^2*z5 - 
    1411200*ln2*sinf*z5 - 3737880*z2*z5 + 9915345*z7)/322560, 
 H[1, -1, 1, 0, -1, 1, 1, 1] -> (16289280*li7half - 564480*li5half*ln2^2 - 
    26880*li4half*ln2^3 + 352*ln2^7 - 3329280*ln2*s6 + 3329280*s7a - 
    4815360*s7b - 4838400*li6half*sinf - 1128960*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 4032*ln2^6*sinf - 2499840*s6*sinf + 
    564480*li5half*z2 + 80640*li4half*ln2*z2 - 14112*ln2^5*z2 + 
    161280*li4half*sinf*z2 - 6720*ln2^4*sinf*z2 + 550368*ln2^3*z2^2 + 
    397152*ln2^2*sinf*z2^2 + 1337760*ln2*z2^3 + 572256*sinf*z2^3 - 
    141120*li4half*z3 - 58800*ln2^4*z3 - 70560*ln2^3*sinf*z3 + 
    141120*ln2^2*z2*z3 + 211680*ln2*sinf*z2*z3 + 1751328*z2^2*z3 + 
    4161600*ln2*z3^2 + 752220*sinf*z3^2 + 8447040*ln2^2*z5 + 
    1113840*ln2*sinf*z5 + 13842720*z2*z5 - 40150575*z7)/161280, 
 H[1, -1, 1, 0, -1, 1, 0, 1] -> (-15482880*li7half + 1290240*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 1280*ln2^7 + 3945600*ln2*s6 - 3945600*s7a + 
    4561920*s7b + 7741440*li6half*sinf + 2580480*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 2688*ln2^6*sinf + 4193280*s6*sinf + 
    806400*li5half*z2 + 564480*li4half*ln2*z2 + 6048*ln2^5*z2 - 
    26880*ln2^4*sinf*z2 - 428064*ln2^3*z2^2 - 453600*ln2^2*sinf*z2^2 - 
    1016352*ln2*z2^3 - 943776*sinf*z2^3 - 403200*li4half*z3 - 
    16800*ln2^4*z3 - 60480*ln2^2*z2*z3 - 80640*ln2*sinf*z2*z3 - 
    949680*z2^2*z3 - 4932000*ln2*z3^2 - 1491840*sinf*z3^2 - 
    9620100*ln2^2*z5 - 2756880*ln2*sinf*z5 - 14583780*z2*z5 + 36521325*z7)/
   161280, H[1, -1, 1, 0, -1, 1, -1, 1] -> 
  (-9999360*li7half - 322560*li6half*ln2 + 295680*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 2048*ln2^7 + 2135040*ln2*s6 - 2269440*s7a + 
    2999040*s7b + 2580480*li6half*sinf + 591360*li5half*ln2*sinf - 
    1344*ln2^6*sinf + 1397760*s6*sinf - 295680*li5half*z2 + 
    80640*li4half*ln2*z2 + 29120*ln2^5*z2 + 35840*ln2^4*sinf*z2 - 
    420224*ln2^3*z2^2 - 247296*ln2^2*sinf*z2^2 - 736992*ln2*z2^3 - 
    295104*sinf*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 + 
    151200*ln2^2*z2*z3 - 814176*z2^2*z3 - 2909880*ln2*z3^2 - 
    524160*sinf*z3^2 - 5458740*ln2^2*z5 - 709800*ln2*sinf*z5 - 
    8619420*z2*z5 + 23864685*z7)/53760, H[1, -1, 1, 0, -1, 0, 1, 1] -> 
  (5160960*li7half - 1290240*li5half*ln2^2 - 430080*li4half*ln2^3 - 
    8192*ln2^7 - 1578240*ln2*s6 + 1578240*s7a - 195840*s7b - 
    3870720*li6half*sinf - 2580480*li5half*ln2*sinf - 
    645120*li4half*ln2^2*sinf - 10752*ln2^6*sinf - 1451520*s6*sinf + 
    4838400*li5half*z2 + 2257920*li4half*ln2*z2 + 75264*ln2^5*z2 - 
    645120*li4half*sinf*z2 - 169344*ln2^3*z2^2 + 149184*ln2^2*sinf*z2^2 + 
    1280160*ln2*z2^3 + 722880*sinf*z2^3 - 282240*li4half*z3 - 
    11760*ln2^4*z3 - 453600*ln2^2*z2*z3 - 1048320*ln2*sinf*z2*z3 - 
    299520*z2^2*z3 + 1972800*ln2*z3^2 + 871920*sinf*z3^2 + 2958480*ln2^2*z5 + 
    2479680*ln2*sinf*z5 - 4867920*z2*z5 - 2187765*z7)/322560, 
 H[1, -1, 1, 0, -1, 0, 0, 1] -> (-15360*ln2*s6 + 15360*s7a + 28800*s7b - 
    26880*s6*sinf - 215040*li5half*z2 - 161280*li4half*ln2*z2 - 
    4928*ln2^5*z2 - 53760*li4half*sinf*z2 - 2240*ln2^4*sinf*z2 + 
    12992*ln2^3*z2^2 - 672*ln2^2*sinf*z2^2 + 25344*ln2*z2^3 + 
    27760*sinf*z2^3 + 127680*li4half*z3 + 5320*ln2^4*z3 - 72240*ln2^2*z2*z3 - 
    20160*ln2*sinf*z2*z3 - 87744*z2^2*z3 + 19200*ln2*z3^2 - 2520*sinf*z3^2 - 
    4200*ln2^2*z5 + 17640*ln2*sinf*z5 + 184200*z2*z5 + 58035*z7)/26880, 
 H[1, -1, 1, 0, -1, 0, -1, 1] -> (-1935360*li7half + 645120*li6half*ln2 + 
    645120*li5half*ln2^2 + 215040*li4half*ln2^3 + 4864*ln2^7 + 
    103680*ln2*s6 - 184320*s7a + 1831680*s7b + 2580480*li6half*sinf + 
    1290240*li5half*ln2*sinf + 322560*li4half*ln2^2*sinf + 6272*ln2^6*sinf + 
    1290240*s6*sinf + 241920*li5half*z2 - 403200*li4half*ln2*z2 - 
    40320*ln2^5*z2 - 645120*li4half*sinf*z2 - 53760*ln2^4*sinf*z2 + 
    33600*ln2^3*z2^2 + 30240*ln2^2*sinf*z2^2 + 334368*ln2*z2^3 - 
    106272*sinf*z2^3 + 1411200*li4half*z3 + 129360*ln2^4*z3 + 
    94080*ln2^3*sinf*z3 - 907200*ln2^2*z2*z3 - 544320*ln2*sinf*z2*z3 - 
    1218096*z2^2*z3 + 170280*ln2*z3^2 - 347760*sinf*z3^2 - 2572920*ln2^2*z5 - 
    1239840*ln2*sinf*z5 - 5888340*z2*z5 + 12351825*z7)/161280, 
 H[1, -1, 1, 0, -1, -1, 1, 1] -> (28062720*li7half - 2096640*li5half*ln2^2 - 
    376320*li4half*ln2^3 - 3776*ln2^7 - 6255360*ln2*s6 + 6255360*s7a - 
    8259840*s7b - 6773760*li6half*sinf - 2257920*li5half*ln2*sinf - 
    322560*li4half*ln2^2*sinf - 4032*ln2^6*sinf - 3225600*s6*sinf + 
    2096640*li5half*z2 + 645120*li4half*ln2*z2 - 34944*ln2^5*z2 + 
    322560*li4half*sinf*z2 - 73920*ln2^4*sinf*z2 + 803712*ln2^3*z2^2 + 
    350784*ln2^2*sinf*z2^2 + 2213856*ln2*z2^3 + 762048*sinf*z2^3 - 
    1008000*li4half*z3 + 63840*ln2^4*z3 + 141120*ln2^3*sinf*z3 - 
    383040*ln2^2*z2*z3 + 2689200*z2^2*z3 + 7819200*ln2*z3^2 + 
    1156680*sinf*z3^2 + 17088120*ln2^2*z5 + 2303280*ln2*sinf*z5 + 
    21690360*z2*z5 - 65023335*z7)/322560, H[1, -1, 1, 0, -1, -1, 0, 1] -> 
  (8640*ln2*s6 - 8640*s7a - 82560*s7b - 26880*s6*sinf - 161280*li5half*z2 - 
    40320*li4half*ln2*z2 - 336*ln2^5*z2 - 2240*ln2^3*z2^2 + 
    1680*ln2^2*sinf*z2^2 - 53904*ln2*z2^3 - 4080*sinf*z2^3 + 
    10080*li4half*z3 + 420*ln2^4*z3 + 71400*ln2^2*z2*z3 + 
    36960*ln2*sinf*z2*z3 + 31884*z2^2*z3 - 10800*ln2*z3^2 + 3990*sinf*z3^2 + 
    60480*ln2^2*z5 - 22260*ln2*sinf*z5 + 495360*z2*z5 - 633645*z7)/26880, 
 H[1, -1, 1, 0, -1, -1, -1, 1] -> (645120*li7half + 1612800*li6half*ln2 + 
    725760*li5half*ln2^2 + 80640*li4half*ln2^3 - 576*ln2^7 + 887040*ln2*s6 - 
    40320*s7a + 322560*s7b + 1128960*li6half*sinf + 483840*li5half*ln2*sinf - 
    2464*ln2^6*sinf + 766080*s6*sinf - 241920*li5half*z2 - 
    80640*li4half*ln2*z2 + 8064*ln2^5*z2 - 80640*li4half*sinf*z2 + 
    13440*ln2^4*sinf*z2 - 21504*ln2^3*z2^2 - 12096*ln2^2*sinf*z2^2 + 
    28800*ln2*z2^3 - 69120*sinf*z2^3 + 262080*li4half*z3 - 24360*ln2^4*z3 - 
    47040*ln2^3*sinf*z3 - 65520*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 - 
    219240*z2^2*z3 - 315000*ln2*z3^2 - 269640*sinf*z3^2 - 1708560*ln2^2*z5 - 
    839160*ln2*sinf*z5 - 539280*z2*z5 + 819315*z7)/161280, 
 H[1, -1, 1, -1, 1, 1, 1, 1] -> (1612800*li7half - 322560*li5half*ln2^2 - 
    53760*li4half*ln2^3 + 320*ln2^7 - 391680*ln2*s6 + 391680*s7a + 
    149760*s7b - 1128960*li6half*sinf - 645120*li5half*ln2*sinf - 
    80640*li4half*ln2^2*sinf + 672*ln2^6*sinf - 362880*s6*sinf + 
    322560*li5half*z2 + 161280*li4half*ln2*z2 - 6720*ln2^5*z2 + 
    80640*li4half*sinf*z2 - 10080*ln2^4*sinf*z2 - 17472*ln2^3*z2^2 - 
    18144*ln2^2*sinf*z2^2 + 201312*ln2*z2^3 + 105984*sinf*z2^3 - 
    282240*li4half*z3 + 42000*ln2^4*z3 + 53760*ln2^3*sinf*z3 - 
    252000*ln2^2*z2*z3 - 161280*ln2*sinf*z2*z3 - 421056*z2^2*z3 + 
    489600*ln2*z3^2 + 277200*sinf*z3^2 + 556920*ln2^2*z5 + 
    645120*ln2*sinf*z5 - 754920*z2*z5 + 1069605*z7)/161280, 
 H[1, -1, 1, -1, 1, 1, 0, 1] -> (-161280*li7half + 20160*li5half*ln2^2 + 
    13440*li4half*ln2^3 + 424*ln2^7 + 171360*ln2*s6 - 171360*s7a - 
    141120*s7b + 40320*li6half*sinf + 40320*li5half*ln2*sinf + 
    20160*li4half*ln2^2*sinf + 560*ln2^6*sinf + 60480*s6*sinf + 
    100800*li5half*z2 + 141120*li4half*ln2*z2 + 3864*ln2^5*z2 + 
    40320*li4half*sinf*z2 - 27384*ln2^3*z2^2 - 8064*ln2^2*sinf*z2^2 - 
    33912*ln2*z2^3 + 5040*sinf*z2^3 - 126000*li4half*z3 - 5880*ln2^4*z3 - 
    840*ln2^3*sinf*z3 + 171360*ln2^2*z2*z3 + 60480*ln2*sinf*z2*z3 + 
    210168*z2^2*z3 - 224280*ln2*z3^2 - 81270*sinf*z3^2 - 108045*ln2^2*z5 - 
    157500*ln2*sinf*z5 + 477855*z2*z5 - 1384740*z7)/40320, 
 H[1, -1, 1, -1, 1, 1, -1, 1] -> (-181440*li7half + 30240*li5half*ln2^2 - 
    240*ln2^7 + 45360*ln2*s6 - 45360*s7a + 60480*s7b + 120960*li6half*sinf + 
    60480*li5half*ln2*sinf - 364*ln2^6*sinf + 120960*s6*sinf - 
    30240*li5half*z2 + 2520*ln2^5*z2 + 2940*ln2^4*sinf*z2 - 2016*ln2^3*z2^2 - 
    252*ln2^2*sinf*z2^2 + 2196*ln2*z2^3 + 252*sinf*z2^3 - 8925*ln2^4*z3 - 
    9660*ln2^3*sinf*z3 + 53550*ln2^2*z2*z3 + 28980*ln2*sinf*z2*z3 + 
    693*z2^2*z3 - 132300*ln2*z3^2 - 52605*sinf*z3^2 - 216090*ln2^2*z5 - 
    227115*ln2*sinf*z5 - 67410*z2*z5 + 268380*z7)/20160, 
 H[1, -1, 1, -1, 1, 0, 1, 1] -> (-3548160*li7half + 645120*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 4288*ln2^7 + 253440*ln2*s6 - 253440*s7a + 
    794880*s7b + 2096640*li6half*sinf + 1290240*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 5600*ln2^6*sinf + 766080*s6*sinf - 
    645120*li5half*z2 - 645120*li4half*ln2*z2 - 30912*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 23520*ln2^4*sinf*z2 + 49728*ln2^3*z2^2 + 
    42336*ln2^2*sinf*z2^2 - 272160*ln2*z2^3 - 187776*sinf*z2^3 + 
    1128960*li4half*z3 + 52080*ln2^4*z3 + 6720*ln2^3*sinf*z3 - 
    131040*ln2^2*z2*z3 + 20160*ln2*sinf*z2*z3 - 677088*z2^2*z3 - 
    236160*ln2*z3^2 - 294840*sinf*z3^2 - 1630440*ln2^2*z5 - 
    1229760*ln2*sinf*z5 - 1460520*z2*z5 + 7150365*z7)/161280, 
 H[1, -1, 1, -1, 1, 0, 0, 1] -> (322560*li7half - 64*ln2^7 - 5760*ln2*s6 + 
    5760*s7a + 368640*s7b + 1344*ln2^5*z2 - 32928*ln2^3*z2^2 - 
    38304*ln2^2*sinf*z2^2 + 74304*ln2*z2^3 - 25632*sinf*z2^3 + 
    15120*ln2^4*z3 + 20160*ln2^3*sinf*z3 - 252000*ln2^2*z2*z3 - 
    141120*ln2*sinf*z2*z3 - 429552*z2^2*z3 + 249120*ln2*z3^2 + 
    110880*sinf*z3^2 - 200340*ln2^2*z5 + 302400*ln2*sinf*z5 - 1406700*z2*z5 + 
    3055725*z7)/161280, H[1, -1, 1, -1, 1, 0, -1, 1] -> 
  (-1653120*li7half - 120960*li6half*ln2 + 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1056*ln2^7 + 282240*ln2*s6 - 252000*s7a + 
    282240*s7b + 645120*li6half*sinf + 322560*li5half*ln2*sinf + 
    80640*li4half*ln2^2*sinf + 1568*ln2^6*sinf + 161280*s6*sinf - 
    161280*li5half*z2 - 161280*li4half*ln2*z2 - 9072*ln2^5*z2 - 
    80640*li4half*sinf*z2 - 9240*ln2^4*sinf*z2 - 16464*ln2^3*z2^2 - 
    13104*ln2^2*sinf*z2^2 - 181872*ln2*z2^3 - 86472*sinf*z2^3 + 
    282240*li4half*z3 + 28140*ln2^4*z3 + 21840*ln2^3*sinf*z3 - 
    146160*ln2^2*z2*z3 - 60480*ln2*sinf*z2*z3 - 228564*z2^2*z3 - 
    51030*ln2*z3^2 - 45360*sinf*z3^2 - 520065*ln2^2*z5 - 5040*ln2*sinf*z5 - 
    806715*z2*z5 + 3262770*z7)/40320, H[1, -1, 1, -1, 1, -1, 1, 1] -> 
  (-24*ln2^7 - 28*ln2^6*sinf + 504*ln2^5*z2 + 420*ln2^4*sinf*z2 + 
    504*ln2^3*z2^2 - 252*ln2^2*sinf*z2^2 + 2376*ln2*z2^3 + 180*sinf*z2^3 - 
    2310*ln2^4*z3 - 840*ln2^3*sinf*z3 + 13860*ln2^2*z2*z3 + 
    2520*ln2*sinf*z2*z3 + 126*z2^2*z3 - 10080*ln2*z3^2 - 630*sinf*z3^2 - 
    22050*ln2^2*z5 - 3780*ln2*sinf*z5 + 22050*z2*z5 - 37485*z7)/20160, 
 H[1, -1, 1, -1, 1, -1, 0, 1] -> (161280*li7half - 32*ln2^7 + 5760*ln2*s6 - 
    5760*s7a + 34560*s7b - 896*ln2^5*z2 - 1120*ln2^4*sinf*z2 + 
    672*ln2^3*z2^2 - 2688*ln2^2*sinf*z2^2 + 21888*ln2*z2^3 - 3168*sinf*z2^3 + 
    6720*ln2^4*z3 + 8960*ln2^3*sinf*z3 - 80640*ln2^2*z2*z3 - 
    33600*ln2*sinf*z2*z3 - 42864*z2^2*z3 + 100320*ln2*z3^2 + 
    13440*sinf*z3^2 - 12180*ln2^2*z5 + 53760*ln2*sinf*z5 - 193500*z2*z5 + 
    261015*z7)/53760, H[1, -1, 1, -1, 1, -1, -1, 1] -> 
  (-483840*li7half + 241920*li5half*ln2^2 + 161280*li4half*ln2^3 + 
    4992*ln2^7 - 17280*ln2*s6 + 17280*s7a - 103680*s7b + 
    483840*li6half*sinf + 483840*li5half*ln2*sinf + 
    241920*li4half*ln2^2*sinf + 6944*ln2^6*sinf - 120960*s6*sinf - 
    241920*li5half*z2 - 483840*li4half*ln2*z2 - 44352*ln2^5*z2 - 
    241920*li4half*sinf*z2 - 43680*ln2^4*sinf*z2 + 96768*ln2^3*z2^2 + 
    62496*ln2^2*sinf*z2^2 - 95616*ln2*z2^3 - 59904*sinf*z2^3 + 
    846720*li4half*z3 + 106680*ln2^4*z3 + 77280*ln2^3*sinf*z3 - 
    640080*ln2^2*z2*z3 - 231840*ln2*sinf*z2*z3 - 416232*z2^2*z3 + 
    948960*ln2*z3^2 + 103320*sinf*z3^2 + 410760*ln2^2*z5 + 
    264600*ln2*sinf*z5 + 176040*z2*z5 + 938115*z7)/161280, 
 H[1, -1, 1, -1, 0, 1, 1, 1] -> (-3870720*li7half + 483840*li5half*ln2^2 - 
    3264*ln2^7 + 1221120*ln2*s6 - 1221120*s7a - 495360*s7b + 
    2257920*li6half*sinf + 967680*li5half*ln2*sinf - 4928*ln2^6*sinf + 
    725760*s6*sinf - 483840*li5half*z2 + 28224*ln2^5*z2 + 
    33600*ln2^4*sinf*z2 + 4032*ln2^3*z2^2 - 20160*ln2^2*sinf*z2^2 - 
    508320*ln2*z2^3 - 228096*sinf*z2^3 - 110880*ln2^4*z3 - 
    147840*ln2^3*sinf*z3 + 665280*ln2^2*z2*z3 + 443520*ln2*sinf*z2*z3 + 
    1362096*z2^2*z3 - 1607040*ln2*z3^2 - 687960*sinf*z3^2 - 
    1202040*ln2^2*z5 - 997920*ln2*sinf*z5 + 1931400*z2*z5 - 3800925*z7)/
   322560, H[1, -1, 1, -1, 0, 1, 0, 1] -> 
  (1128960*li7half - 161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 
    1120*ln2^7 - 453600*ln2*s6 + 453600*s7a - 141120*s7b - 
    645120*li6half*sinf - 322560*li5half*ln2*sinf - 
    80640*li4half*ln2^2*sinf - 1568*ln2^6*sinf - 362880*s6*sinf - 
    40320*li5half*z2 - 80640*li4half*ln2*z2 + 1680*ln2^5*z2 + 
    6720*ln2^4*sinf*z2 + 37800*ln2^3*z2^2 + 25704*ln2^2*sinf*z2^2 + 
    86184*ln2*z2^3 + 51960*sinf*z2^3 - 20160*li4half*z3 - 8400*ln2^4*z3 - 
    10080*ln2^3*sinf*z3 - 80640*ln2^2*z2*z3 - 35280*ln2*sinf*z2*z3 - 
    61740*z2^2*z3 + 446040*ln2*z3^2 + 204120*sinf*z3^2 + 784665*ln2^2*z5 + 
    417060*ln2*sinf*z5 + 288225*z2*z5 - 858690*z7)/40320, 
 H[1, -1, 1, -1, 0, 1, -1, 1] -> (21611520*li7half + 1128960*li6half*ln2 - 
    1532160*li5half*ln2^2 - 215040*li4half*ln2^3 + 1088*ln2^7 - 
    4256640*ln2*s6 + 4619520*s7a - 6024960*s7b - 7741440*li6half*sinf - 
    3064320*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf + 1344*ln2^6*sinf - 
    4193280*s6*sinf + 1532160*li5half*z2 + 645120*li4half*ln2*z2 - 
    23520*ln2^5*z2 + 322560*li4half*sinf*z2 - 40320*ln2^4*sinf*z2 + 
    600768*ln2^3*z2^2 + 374976*ln2^2*sinf*z2^2 + 1541664*ln2*z2^3 + 
    744192*sinf*z2^3 - 1128960*li4half*z3 - 26880*ln2^4*z3 + 
    26880*ln2^3*sinf*z3 - 322560*ln2^2*z2*z3 - 141120*ln2*sinf*z2*z3 + 
    2070864*z2^2*z3 + 5572800*ln2*z3^2 + 1612800*sinf*z3^2 + 
    12397140*ln2^2*z5 + 4170600*ln2*sinf*z5 + 15945660*z2*z5 - 48544065*z7)/
   161280, H[1, -1, 1, -1, 0, 0, 1, 1] -> 
  (-120960*li7half + 24*ln2^7 + 74880*ln2*s6 - 74880*s7a + 86400*s7b + 
    40320*li6half*sinf + 56*ln2^6*sinf + 55440*s6*sinf - 60480*li5half*z2 - 
    840*ln2^4*sinf*z2 - 9408*ln2^3*z2^2 - 6048*ln2^2*sinf*z2^2 - 
    14040*ln2*z2^3 + 12*sinf*z2^3 + 1890*ln2^4*z3 + 2520*ln2^3*sinf*z3 - 
    21420*ln2^2*z2*z3 - 27720*ln2*sinf*z2*z3 - 27738*z2^2*z3 - 
    63360*ln2*z3^2 - 15120*sinf*z3^2 - 160965*ln2^2*z5 - 9450*ln2*sinf*z5 - 
    263250*z2*z5 + 645345*z7)/20160, H[1, -1, 1, -1, 0, 0, 0, 1] -> 
  (960*ln2*s6 - 960*s7a - 17760*s7b + 1624*ln2^3*z2^2 + 
    1176*ln2^2*sinf*z2^2 + 432*ln2*z2^3 + 1908*sinf*z2^3 + 5040*ln2^2*z2*z3 + 
    2520*ln2*sinf*z2*z3 + 17958*z2^2*z3 - 1200*ln2*z3^2 - 5040*sinf*z3^2 + 
    9555*ln2^2*z5 - 13440*ln2*sinf*z5 + 72015*z2*z5 - 167670*z7)/6720, 
 H[1, -1, 1, -1, 0, 0, -1, 1] -> (215040*li7half + 53760*li6half*ln2 + 
    32*ln2^7 - 2880*ln2*s6 - 57600*s7a + 157440*s7b + 134400*s6*sinf - 
    40320*li5half*z2 + 112*ln2^5*z2 + 3248*ln2^3*z2^2 + 
    1680*ln2^2*sinf*z2^2 + 84624*ln2*z2^3 + 28304*sinf*z2^3 - 2520*ln2^4*z3 - 
    3360*ln2^3*sinf*z3 + 8400*ln2^2*z2*z3 - 3360*ln2*sinf*z2*z3 - 
    31656*z2^2*z3 - 130800*ln2*z3^2 - 52080*sinf*z3^2 - 332220*ln2^2*z5 - 
    247800*ln2*sinf*z5 - 351390*z2*z5 + 411975*z7)/26880, 
 H[1, -1, 1, -1, 0, -1, 1, 1] -> (-18547200*li7half + 1532160*li5half*ln2^2 + 
    215040*li4half*ln2^3 - 128*ln2^7 + 3899520*ln2*s6 - 3899520*s7a + 
    5011200*s7b + 6773760*li6half*sinf + 2580480*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 1344*ln2^6*sinf + 3225600*s6*sinf - 
    1532160*li5half*z2 - 645120*li4half*ln2*z2 + 12768*ln2^5*z2 - 
    322560*li4half*sinf*z2 + 20160*ln2^4*sinf*z2 - 595392*ln2^3*z2^2 - 
    362880*ln2^2*sinf*z2^2 - 1647648*ln2*z2^3 - 739584*sinf*z2^3 + 
    1128960*li4half*z3 + 67200*ln2^4*z3 + 26880*ln2^3*sinf*z3 + 
    80640*ln2^2*z2*z3 - 20160*ln2*sinf*z2*z3 - 1783440*z2^2*z3 - 
    4551840*ln2*z3^2 - 1222200*sinf*z3^2 - 9749880*ln2^2*z5 - 
    2469600*ln2*sinf*z5 - 13881240*z2*z5 + 42375195*z7)/161280, 
 H[1, -1, 1, -1, 0, -1, 0, 1] -> (4515840*li7half - 645120*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 4480*ln2^7 - 1658880*ln2*s6 + 1658880*s7a - 
    1324800*s7b - 2580480*li6half*sinf - 1290240*li5half*ln2*sinf - 
    322560*li4half*ln2^2*sinf - 6272*ln2^6*sinf - 1451520*s6*sinf - 
    403200*li5half*z2 - 322560*li4half*ln2*z2 + 8736*ln2^5*z2 + 
    26880*ln2^4*sinf*z2 + 146496*ln2^3*z2^2 + 110880*ln2^2*sinf*z2^2 + 
    229248*ln2*z2^3 + 290400*sinf*z2^3 - 80640*li4half*z3 - 43680*ln2^4*z3 - 
    53760*ln2^3*sinf*z3 + 221760*ln2^2*z2*z3 + 141120*ln2*sinf*z2*z3 + 
    396000*z2^2*z3 + 1428480*ln2*z3^2 + 554400*sinf*z3^2 + 3462480*ln2^2*z5 + 
    1144080*ln2*sinf*z5 + 4759740*z2*z5 - 10856565*z7)/161280, 
 H[1, -1, 1, -1, 0, -1, -1, 1] -> (-967680*li7half - 967680*li6half*ln2 - 
    161280*li5half*ln2^2 + 192*ln2^7 - 184320*ln2*s6 - 380160*s7a + 
    587520*s7b - 322560*li6half*sinf - 448*ln2^6*sinf + 80640*s6*sinf + 
    161280*li4half*ln2*z2 + 9408*ln2^5*z2 + 161280*li4half*sinf*z2 + 
    13440*ln2^4*sinf*z2 + 25536*ln2^3*z2^2 + 24192*ln2^2*sinf*z2^2 + 
    148896*ln2*z2^3 + 39936*sinf*z2^3 - 524160*li4half*z3 - 58800*ln2^4*z3 - 
    49280*ln2^3*sinf*z3 + 352800*ln2^2*z2*z3 + 147840*ln2*sinf*z2*z3 + 
    112320*z2^2*z3 - 854880*ln2*z3^2 - 68880*sinf*z3^2 - 1260000*ln2^2*z5 - 
    488880*ln2*sinf*z5 - 1511640*z2*z5 + 3119085*z7)/107520, 
 H[1, -1, 1, -1, -1, 1, 1, 1] -> (1451520*li7half - 480*ln2^7 - 
    207360*ln2*s6 + 207360*s7a - 1244160*s7b - 483840*li6half*sinf - 
    896*ln2^6*sinf - 483840*s6*sinf + 10080*ln2^5*z2 + 13440*ln2^4*sinf*z2 + 
    102816*ln2^3*z2^2 + 96768*ln2^2*sinf*z2^2 + 2592*ln2*z2^3 + 
    76224*sinf*z2^3 - 71400*ln2^4*z3 - 77280*ln2^3*sinf*z3 + 
    347760*ln2^2*z2*z3 + 231840*ln2*sinf*z2*z3 + 881352*z2^2*z3 + 
    299520*ln2*z3^2 - 27720*sinf*z3^2 + 1409940*ln2^2*z5 + 7560*ln2*sinf*z5 + 
    3696300*z2*z5 - 9617985*z7)/161280, H[1, -1, 1, -1, -1, 1, 0, 1] -> 
  (645120*li7half - 161280*li5half*ln2^2 - 215040*li4half*ln2^3 - 
    7744*ln2^7 - 288000*ln2*s6 + 288000*s7a + 1578240*s7b - 
    322560*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 10752*ln2^6*sinf + 
    564480*s6*sinf + 1128960*li5half*z2 + 645120*li4half*ln2*z2 + 
    51072*ln2^5*z2 + 322560*li4half*sinf*z2 + 60480*ln2^4*sinf*z2 - 
    63168*ln2^3*z2^2 - 96768*ln2^2*sinf*z2^2 + 485856*ln2*z2^3 - 
    139392*sinf*z2^3 - 1128960*li4half*z3 - 112560*ln2^4*z3 - 
    87360*ln2^3*sinf*z3 - 413280*ln2^2*z2*z3 - 201600*ln2*sinf*z2*z3 - 
    527328*z2^2*z3 - 688320*ln2*z3^2 + 186480*sinf*z3^2 - 1166760*ln2^2*z5 + 
    166320*ln2*sinf*z5 - 6619320*z2*z5 + 11153745*z7)/322560, 
 H[1, -1, 1, -1, -1, 1, -1, 1] -> (-967680*li7half - 241920*li5half*ln2^2 - 
    161280*li4half*ln2^3 - 4320*ln2^7 + 380160*ln2*s6 - 380160*s7a + 
    587520*s7b - 483840*li5half*ln2*sinf - 241920*li4half*ln2^2*sinf - 
    5824*ln2^6*sinf + 241920*li5half*z2 + 483840*li4half*ln2*z2 + 
    30240*ln2^5*z2 + 241920*li4half*sinf*z2 + 26880*ln2^4*sinf*z2 - 
    203616*ln2^3*z2^2 - 157248*ln2^2*sinf*z2^2 - 138048*ln2*z2^3 - 
    96768*sinf*z2^3 - 846720*li4half*z3 - 16800*ln2^4*z3 + 
    6720*ln2^3*sinf*z3 + 181440*ln2^2*z2*z3 - 20160*ln2*sinf*z2*z3 + 
    163728*z2^2*z3 - 878400*ln2*z3^2 + 5040*sinf*z3^2 - 472500*ln2^2*z5 + 
    929880*ln2*sinf*z5 - 2221020*z2*z5 + 4153545*z7)/161280, 
 H[1, -1, 1, -1, -1, 0, 1, 1] -> (2257920*li7half - 376320*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 1792*ln2^7 - 576000*ln2*s6 + 576000*s7a - 
    96000*s7b - 1290240*li6half*sinf - 752640*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 2240*ln2^6*sinf - 483840*s6*sinf + 
    698880*li5half*z2 + 322560*li4half*ln2*z2 + 8960*ln2^5*z2 - 
    161280*li4half*sinf*z2 - 6720*ln2^4*sinf*z2 + 16128*ln2^3*z2^2 + 
    65856*ln2^2*sinf*z2^2 + 354336*ln2*z2^3 + 222144*sinf*z2^3 + 
    80640*li4half*z3 + 11760*ln2^4*z3 + 11200*ln2^3*sinf*z3 - 
    332640*ln2^2*z2*z3 - 342720*ln2*sinf*z2*z3 - 157536*z2^2*z3 + 
    854400*ln2*z3^2 + 286440*sinf*z3^2 + 1034880*ln2^2*z5 + 
    767760*ln2*sinf*z5 - 710880*z2*z5 - 1242855*z7)/107520, 
 H[1, -1, 1, -1, -1, 0, 0, 1] -> (-645120*li7half + 161280*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 3264*ln2^7 + 230400*ln2*s6 - 230400*s7a - 
    552960*s7b + 322560*li6half*sinf + 322560*li5half*ln2*sinf + 
    161280*li4half*ln2^2*sinf + 4480*ln2^6*sinf + 40320*s6*sinf - 
    322560*li5half*z2 - 564480*li4half*ln2*z2 - 36960*ln2^5*z2 - 
    241920*li4half*sinf*z2 - 30240*ln2^4*sinf*z2 + 147168*ln2^3*z2^2 + 
    98784*ln2^2*sinf*z2^2 - 48096*ln2*z2^3 + 84096*sinf*z2^3 + 
    342720*li4half*z3 + 34440*ln2^4*z3 + 26880*ln2^3*sinf*z3 - 
    186480*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 + 264312*z2^2*z3 + 
    34560*ln2*z3^2 - 178920*sinf*z3^2 + 122220*ln2^2*z5 - 
    380520*ln2*sinf*z5 + 2454660*z2*z5 - 4125105*z7)/161280, 
 H[1, -1, 1, -1, -1, 0, -1, 1] -> (10967040*li7half + 967680*li6half*ln2 - 
    161280*li5half*ln2^2 + 322560*li4half*ln2^3 + 13952*ln2^7 - 
    2891520*ln2*s6 + 2649600*s7a - 817920*s7b - 2903040*li6half*sinf - 
    322560*li5half*ln2*sinf + 483840*li4half*ln2^2*sinf + 18816*ln2^6*sinf - 
    483840*s6*sinf + 645120*li5half*z2 - 967680*li4half*ln2*z2 - 
    119616*ln2^5*z2 - 967680*li4half*sinf*z2 - 134400*ln2^4*sinf*z2 + 
    642432*ln2^3*z2^2 + 508032*ln2^2*sinf*z2^2 + 1881504*ln2*z2^3 + 
    866304*sinf*z2^3 + 2298240*li4half*z3 + 211680*ln2^4*z3 + 
    154560*ln2^3*sinf*z3 - 1663200*ln2^2*z2*z3 - 927360*ln2*sinf*z2*z3 - 
    883728*z2^2*z3 + 4040280*ln2*z3^2 + 413280*sinf*z3^2 + 2598120*ln2^2*z5 - 
    1522080*ln2*sinf*z5 + 2327040*z2*z5 - 13079565*z7)/322560, 
 H[1, -1, 1, -1, -1, -1, 1, 1] -> (-2096640*li7half + 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1504*ln2^7 + 339840*ln2*s6 - 339840*s7a + 
    426240*s7b + 967680*li6half*sinf + 322560*li5half*ln2*sinf + 
    80640*li4half*ln2^2*sinf + 2240*ln2^6*sinf + 403200*s6*sinf - 
    161280*li5half*z2 - 161280*li4half*ln2*z2 - 18144*ln2^5*z2 - 
    80640*li4half*sinf*z2 - 20160*ln2^4*sinf*z2 - 75936*ln2^3*z2^2 - 
    76608*ln2^2*sinf*z2^2 - 247968*ln2*z2^3 - 102912*sinf*z2^3 + 
    282240*li4half*z3 + 83160*ln2^4*z3 + 77280*ln2^3*sinf*z3 - 
    257040*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 - 227880*z2^2*z3 - 
    142560*ln2*z3^2 - 153720*sinf*z3^2 - 366660*ln2^2*z5 - 
    136080*ln2*sinf*z5 - 1651500*z2*z5 + 4963725*z7)/161280, 
 H[1, -1, 1, -1, -1, -1, 0, 1] -> (322560*li7half - 322560*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 1856*ln2^7 - 391680*ln2*s6 + 391680*s7a - 
    979200*s7b - 967680*li6half*sinf - 645120*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 2688*ln2^6*sinf - 645120*s6*sinf - 
    967680*li5half*z2 - 161280*li4half*ln2*z2 + 12096*ln2^5*z2 + 
    13440*ln2^4*sinf*z2 - 44352*ln2^3*z2^2 + 16128*ln2^2*sinf*z2^2 - 
    409824*ln2*z2^3 + 110592*sinf*z2^3 - 40320*li4half*z3 - 42000*ln2^4*z3 - 
    53760*ln2^3*sinf*z3 + 1058400*ln2^2*z2*z3 + 483840*ln2*sinf*z2*z3 + 
    417600*z2^2*z3 - 155520*ln2*z3^2 + 161280*sinf*z3^2 + 1323000*ln2^2*z5 - 
    10080*ln2*sinf*z5 + 5101560*z2*z5 - 7659045*z7)/322560, 
 H[1, -1, 1, -1, -1, -1, -1, 1] -> (645120*li7half - 26880*li5half*ln2^2 + 
    32*ln2^7 - 82560*ln2*s6 + 82560*s7a - 38400*s7b - 268800*li6half*sinf - 
    53760*li5half*ln2*sinf + 26880*li5half*z2 + 1568*ln2^5*z2 + 
    2240*ln2^4*sinf*z2 + 36512*ln2^3*z2^2 + 32256*ln2^2*sinf*z2^2 + 
    127936*ln2*z2^3 + 61440*sinf*z2^3 - 17920*ln2^4*z3 - 
    17920*ln2^3*sinf*z3 + 26880*ln2^2*z2*z3 + 13728*z2^2*z3 + 
    49440*ln2*z3^2 - 138180*ln2^2*z5 - 215040*ln2*sinf*z5 + 224100*z2*z5 - 
    1012965*z7)/53760, H[1, -1, 0, 1, 1, 1, 1, 1] -> 
  (64512*li7half - 32256*li5half*ln2^2 - 21504*li4half*ln2^3 - 640*ln2^7 + 
    80640*ln2*s6 - 80640*s7a - 80640*s7b - 64512*li6half*sinf - 
    64512*li5half*ln2*sinf - 32256*li4half*ln2^2*sinf - 896*ln2^6*sinf + 
    32256*li5half*z2 + 64512*li4half*ln2*z2 + 5376*ln2^5*z2 + 
    32256*li4half*sinf*z2 + 5376*ln2^4*sinf*z2 - 13440*ln2^3*z2^2 - 
    8064*ln2^2*sinf*z2^2 - 87840*ln2*z2^3 - 112896*li4half*z3 - 
    11760*ln2^4*z3 - 9408*ln2^3*sinf*z3 + 70560*ln2^2*z2*z3 + 
    28224*ln2*sinf*z2*z3 + 129024*z2^2*z3 - 100800*ln2*z3^2 - 
    24696*sinf*z3^2 + 32256*ln2^2*z5 + 64512*ln2*sinf*z5 + 204624*z2*z5 - 
    530145*z7)/64512, H[1, -1, 0, 1, 1, 1, 0, 1] -> 
  (-19200*ln2*s6 + 19200*s7a - 14400*s7b - 33600*s6*sinf - 13440*li5half*z2 - 
    20160*li4half*ln2*z2 - 728*ln2^5*z2 - 6720*li4half*sinf*z2 - 
    280*ln2^4*sinf*z2 + 3920*ln2^3*z2^2 + 1680*ln2^2*sinf*z2^2 + 
    9672*ln2*z2^3 - 2912*sinf*z2^3 + 21840*li4half*z3 + 910*ln2^4*z3 - 
    10500*ln2^2*z2*z3 + 7560*ln2*sinf*z2*z3 - 7494*z2^2*z3 + 24000*ln2*z3^2 + 
    14280*sinf*z3^2 + 44940*ln2^2*z5 + 24780*ln2*sinf*z5 + 42300*z2*z5 - 
    58995*z7)/13440, H[1, -1, 0, 1, 1, 1, -1, 1] -> 
  (-4193280*li7half + 1935360*li6half*ln2 + 483840*li5half*ln2^2 - 
    512*ln2^7 + 1728000*ln2*s6 - 1002240*s7a + 771840*s7b + 
    3548160*li6half*sinf + 967680*li5half*ln2*sinf - 3136*ln2^6*sinf + 
    1048320*s6*sinf - 483840*li5half*z2 + 26880*ln2^5*z2 + 
    87360*ln2^4*sinf*z2 - 563136*ln2^3*z2^2 - 221760*ln2^2*sinf*z2^2 - 
    621792*ln2*z2^3 - 554112*sinf*z2^3 + 35280*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 - 70560*ln2^2*z2*z3 + 141120*ln2*sinf*z2*z3 - 
    172512*z2^2*z3 - 1242720*ln2*z3^2 - 446040*sinf*z3^2 - 1723680*ln2^2*z5 - 
    10080*ln2*sinf*z5 - 2317680*z2*z5 + 7800885*z7)/322560, 
 H[1, -1, 0, 1, 1, 0, 1, 1] -> (-153600*ln2*s6 + 153600*s7a + 556800*s7b + 
    403200*s6*sinf + 107520*li5half*z2 - 896*ln2^5*z2 - 
    107520*li4half*sinf*z2 - 4480*ln2^4*sinf*z2 + 8960*ln2^3*z2^2 + 
    26880*ln2^2*sinf*z2^2 + 53856*ln2*z2^3 + 85440*sinf*z2^3 + 
    215040*li4half*z3 + 8960*ln2^4*z3 - 208320*ln2^2*z2*z3 - 
    309120*ln2*sinf*z2*z3 - 364368*z2^2*z3 + 192000*ln2*z3^2 - 
    54600*sinf*z3^2 - 539280*ln2^2*z5 - 297360*ln2*sinf*z5 - 1363440*z2*z5 + 
    3028005*z7)/107520, H[1, -1, 0, 1, 1, 0, 0, 1] -> 
  (17280*ln2*s6 - 17280*s7a - 44160*s7b - 26880*s6*sinf - 26496*ln2*z2^3 - 
    7888*sinf*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 20160*ln2^2*z2*z3 + 
    26880*ln2*sinf*z2*z3 + 31680*z2^2*z3 - 21600*ln2*z3^2 + 2940*sinf*z3^2 + 
    45360*ln2^2*z5 + 38640*ln2*sinf*z5 + 88980*z2*z5 - 169725*z7)/26880, 
 H[1, -1, 0, 1, 1, 0, -1, 1] -> (-4800*ln2*s6 + 105600*s7a - 96000*s7b + 
    13440*li5half*z2 - 112*ln2^5*z2 - 13440*li4half*sinf*z2 - 
    560*ln2^4*sinf*z2 + 1120*ln2^3*z2^2 + 3360*ln2^2*sinf*z2^2 - 
    49248*ln2*z2^3 + 1680*sinf*z2^3 + 16800*li4half*z3 + 700*ln2^4*z3 - 
    12600*ln2^2*z2*z3 - 16800*ln2*sinf*z2*z3 + 14580*z2^2*z3 + 
    94200*ln2*z3^2 + 5250*sinf*z3^2 + 206430*ln2^2*z5 + 22260*ln2*sinf*z5 + 
    294180*z2*z5 - 401175*z7)/26880, H[1, -1, 0, 1, 1, -1, 1, 1] -> 
  (25804800*li7half + 483840*li5half*ln2^2 + 430080*li4half*ln2^3 + 
    8768*ln2^7 - 7142400*ln2*s6 + 7142400*s7a - 6324480*s7b - 
    6773760*li6half*sinf + 322560*li5half*ln2*sinf + 
    645120*li4half*ln2^2*sinf + 14784*ln2^6*sinf - 2661120*s6*sinf - 
    483840*li5half*z2 - 1290240*li4half*ln2*z2 - 130368*ln2^5*z2 - 
    645120*li4half*sinf*z2 - 262080*ln2^4*sinf*z2 + 1709568*ln2^3*z2^2 + 
    1221696*ln2^2*sinf*z2^2 + 2197728*ln2*z2^3 + 1139328*sinf*z2^3 + 
    2257920*li4half*z3 + 94080*ln2^4*z3 - 987840*ln2^2*z2*z3 - 
    846720*ln2*sinf*z2*z3 + 632880*z2^2*z3 + 8928000*ln2*z3^2 + 
    1262520*sinf*z3^2 + 11712960*ln2^2*z5 - 1260000*ln2*sinf*z5 + 
    20332080*z2*z5 - 53630415*z7)/322560, H[1, -1, 0, 1, 1, -1, 0, 1] -> 
  (-645120*li7half + 26880*li5half*ln2^2 - 96*ln2^7 + 190080*ln2*s6 - 
    190080*s7a + 166080*s7b + 322560*li6half*sinf + 53760*li5half*ln2*sinf + 
    141120*s6*sinf + 80640*li5half*z2 + 60480*li4half*ln2*z2 + 
    1400*ln2^5*z2 + 20160*li4half*sinf*z2 - 1400*ln2^4*sinf*z2 - 
    27552*ln2^3*z2^2 - 40656*ln2^2*sinf*z2^2 - 43056*ln2*z2^3 - 
    49552*sinf*z2^3 - 65520*li4half*z3 - 2730*ln2^4*z3 + 27300*ln2^2*z2*z3 + 
    21840*ln2*sinf*z2*z3 - 14442*z2^2*z3 - 237600*ln2*z3^2 - 
    59745*sinf*z3^2 - 350910*ln2^2*z5 - 11760*ln2*sinf*z5 - 618375*z2*z5 + 
    1409340*z7)/13440, H[1, -1, 0, 1, 1, -1, -1, 1] -> 
  (-10321920*li7half - 967680*li6half*ln2 - 80640*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 864*ln2^7 + 1895040*ln2*s6 - 2016000*s7a + 
    2580480*s7b + 1774080*li6half*sinf + 161280*li5half*ln2*sinf - 
    80640*li4half*ln2^2*sinf - 2240*ln2^6*sinf + 685440*s6*sinf - 
    80640*li5half*z2 + 80640*li4half*ln2*z2 + 28224*ln2^5*z2 + 
    77280*ln2^4*sinf*z2 - 523488*ln2^3*z2^2 - 243936*ln2^2*sinf*z2^2 - 
    821664*ln2*z2^3 - 258048*sinf*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 
    20160*ln2^2*z2*z3 + 30240*ln2*sinf*z2*z3 - 726264*z2^2*z3 - 
    2448180*ln2*z3^2 - 265860*sinf*z3^2 - 3981600*ln2^2*z5 + 
    239400*ln2*sinf*z5 - 7843500*z2*z5 + 22672755*z7)/161280, 
 H[1, -1, 0, 1, 0, 1, 1, 1] -> (-645120*li7half + 322560*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 6400*ln2^7 - 685440*ln2*s6 + 685440*s7a + 
    322560*s7b + 645120*li6half*sinf + 645120*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 8960*ln2^6*sinf - 362880*s6*sinf - 
    322560*li5half*z2 - 645120*li4half*ln2*z2 - 53760*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 53760*ln2^4*sinf*z2 + 134400*ln2^3*z2^2 + 
    80640*ln2^2*sinf*z2^2 + 122400*ln2*z2^3 - 118368*sinf*z2^3 + 
    1612800*li4half*z3 + 137760*ln2^4*z3 + 94080*ln2^3*sinf*z3 - 
    584640*ln2^2*z2*z3 + 201600*ln2*sinf*z2*z3 - 1018080*z2^2*z3 + 
    856800*ln2*z3^2 + 181440*sinf*z3^2 + 259560*ln2^2*z5 - 
    183960*ln2*sinf*z5 - 844200*z2*z5 + 4398975*z7)/161280, 
 H[1, -1, 0, 1, 0, 1, 0, 1] -> (353280*ln2*s6 - 353280*s7a - 138240*s7b + 
    215040*s6*sinf + 215040*li5half*z2 + 322560*li4half*ln2*z2 + 
    11648*ln2^5*z2 + 107520*li4half*sinf*z2 + 4480*ln2^4*sinf*z2 - 
    62720*ln2^3*z2^2 - 26880*ln2^2*sinf*z2^2 - 23136*ln2*z2^3 + 
    24864*sinf*z2^3 - 672000*li4half*z3 - 28000*ln2^4*z3 + 
    302400*ln2^2*z2*z3 - 13440*ln2*sinf*z2*z3 + 366336*z2^2*z3 - 
    441600*ln2*z3^2 - 107520*sinf*z3^2 - 362880*ln2^2*z5 - 
    309120*ln2*sinf*z5 + 479160*z2*z5 - 1885845*z7)/53760, 
 H[1, -1, 0, 1, 0, 1, -1, 1] -> (-3870720*li7half - 3870720*li6half*ln2 - 
    645120*li5half*ln2^2 + 768*ln2^7 - 771840*ln2*s6 - 1244160*s7a + 
    1578240*s7b - 5160960*li6half*sinf - 1290240*li5half*ln2*sinf + 
    3584*ln2^6*sinf - 1290240*s6*sinf + 645120*li5half*z2 + 
    1451520*li4half*ln2*z2 + 65856*ln2^5*z2 + 25536*ln2^3*z2^2 + 
    669312*ln2^2*sinf*z2^2 + 455904*ln2*z2^3 + 921600*sinf*z2^3 - 
    967680*li4half*z3 - 181440*ln2^4*z3 - 188160*ln2^3*sinf*z3 + 
    947520*ln2^2*z2*z3 - 20160*ln2*sinf*z2*z3 - 46512*z2^2*z3 - 
    1645920*ln2*z3^2 + 534240*sinf*z3^2 - 3643920*ln2^2*z5 - 
    1819440*ln2*sinf*z5 - 3814560*z2*z5 + 8126595*z7)/322560, 
 H[1, -1, 0, 1, 0, 0, 1, 1] -> (45120*ln2*s6 - 45120*s7a - 24960*s7b + 
    20160*s6*sinf - 53760*li5half*z2 + 448*ln2^5*z2 + 53760*li4half*sinf*z2 + 
    2240*ln2^4*sinf*z2 - 4480*ln2^3*z2^2 - 13440*ln2^2*sinf*z2^2 - 
    28080*ln2*z2^3 - 14560*sinf*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 + 
    26880*ln2^2*z2*z3 + 20160*ln2*sinf*z2*z3 + 44640*z2^2*z3 - 
    56400*ln2*z3^2 - 18060*sinf*z3^2 - 8820*ln2^2*z5 + 21420*ln2*sinf*z5 + 
    116370*z2*z5 - 179265*z7)/13440, H[1, -1, 0, 1, 0, 0, 0, 1] -> 
  (-99840*ln2*s6 + 99840*s7a - 7680*s7b - 107520*s6*sinf - 5280*ln2*z2^3 - 
    22880*sinf*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 
    53568*z2^2*z3 + 124800*ln2*z3^2 + 55440*sinf*z3^2 + 154560*ln2^2*z5 + 
    100800*ln2*sinf*z5 - 42120*z2*z5 + 245085*z7)/26880, 
 H[1, -1, 0, 1, 0, 0, -1, 1] -> (7680*ln2*s6 - 101760*s7a - 48000*s7b - 
    134400*s6*sinf - 53760*li5half*z2 + 448*ln2^5*z2 + 
    53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 - 4480*ln2^3*z2^2 - 
    13440*ln2^2*sinf*z2^2 - 31680*ln2*z2^3 - 45136*sinf*z2^3 - 
    6720*li4half*z3 - 280*ln2^4*z3 + 26880*ln2^2*z2*z3 + 
    50400*ln2*sinf*z2*z3 + 30264*z2^2*z3 - 27240*ln2*z3^2 + 30240*sinf*z3^2 + 
    82740*ln2^2*z5 + 269640*ln2*sinf*z5 + 58890*z2*z5 - 143205*z7)/26880, 
 H[1, -1, 0, 1, 0, -1, 1, 1] -> (1290240*li7half - 967680*li5half*ln2^2 - 
    430080*li4half*ln2^3 - 10112*ln2^7 + 576000*ln2*s6 - 576000*s7a - 
    1140480*s7b - 1290240*li5half*ln2*sinf - 645120*li4half*ln2^2*sinf - 
    16128*ln2^6*sinf + 967680*li5half*z2 + 564480*li4half*ln2*z2 + 
    47712*ln2^5*z2 + 645120*li4half*sinf*z2 + 80640*ln2^4*sinf*z2 - 
    227808*ln2^3*z2^2 - 495936*ln2^2*sinf*z2^2 - 60192*ln2*z2^3 - 
    210816*sinf*z2^3 - 1471680*li4half*z3 - 61320*ln2^4*z3 + 
    549360*ln2^2*z2*z3 + 514080*ln2*sinf*z2*z3 + 1115640*z2^2*z3 - 
    720000*ln2*z3^2 - 195300*sinf*z3^2 + 1888740*ln2^2*z5 + 
    1668240*ln2*sinf*z5 + 2025900*z2*z5 - 7701885*z7)/161280, 
 H[1, -1, 0, 1, 0, -1, 0, 1] -> (-49920*ln2*s6 + 49920*s7a + 49920*s7b - 
    268800*li5half*z2 - 161280*li4half*ln2*z2 - 4480*ln2^5*z2 - 
    53760*li4half*sinf*z2 - 2240*ln2^4*sinf*z2 + 17920*ln2^3*z2^2 + 
    13440*ln2^2*sinf*z2^2 - 19104*ln2*z2^3 + 18000*sinf*z2^3 + 
    53760*li4half*z3 + 2240*ln2^4*z3 - 33600*ln2^2*z2*z3 - 
    40320*ln2*sinf*z2*z3 - 57780*z2^2*z3 + 62400*ln2*z3^2 + 25200*sinf*z3^2 - 
    26880*ln2^2*z5 - 53760*ln2*sinf*z5 + 171510*z2*z5 + 248175*z7)/26880, 
 H[1, -1, 0, 1, 0, -1, -1, 1] -> (645120*li7half + 967680*li6half*ln2 + 
    483840*li5half*ln2^2 + 107520*li4half*ln2^3 + 1664*ln2^7 + 
    365760*ln2*s6 - 2880*s7a - 103680*s7b + 967680*li6half*sinf + 
    645120*li5half*ln2*sinf + 161280*li4half*ln2^2*sinf + 2688*ln2^6*sinf + 
    362880*s6*sinf - 322560*li5half*z2 - 161280*li4half*ln2*z2 - 
    8064*ln2^5*z2 - 6720*ln2^4*sinf*z2 + 13440*ln2^3*z2^2 - 81504*ln2*z2^3 - 
    140544*sinf*z2^3 + 70560*li4half*z3 + 2940*ln2^4*z3 + 
    35280*ln2*sinf*z2*z3 + 11160*z2^2*z3 - 73530*ln2*z3^2 - 
    148680*sinf*z3^2 - 378000*ln2^2*z5 - 443520*ln2*sinf*z5 + 529470*z2*z5 - 
    1053315*z7)/80640, H[1, -1, 0, 1, -1, 1, 1, 1] -> 
  (-29352960*li7half - 806400*li5half*ln2^2 - 376320*li4half*ln2^3 - 
    3136*ln2^7 + 6474240*ln2*s6 - 6474240*s7a + 7315200*s7b + 
    5806080*li6half*sinf - 1612800*li5half*ln2*sinf - 
    483840*li4half*ln2^2*sinf + 1344*ln2^6*sinf + 2257920*s6*sinf + 
    806400*li5half*z2 + 1128960*li4half*ln2*z2 + 65856*ln2^5*z2 + 
    483840*li4half*sinf*z2 + 127680*ln2^4*sinf*z2 - 1327872*ln2^3*z2^2 - 
    1229760*ln2^2*sinf*z2^2 - 2672928*ln2*z2^3 - 1052352*sinf*z2^3 - 
    1975680*li4half*z3 + 23520*ln2^4*z3 + 141120*ln2^3*sinf*z3 + 
    282240*ln2^2*z2*z3 + 423360*ln2*sinf*z2*z3 - 1976112*z2^2*z3 - 
    8092800*ln2*z3^2 - 740880*sinf*z3^2 - 12113640*ln2^2*z5 + 
    2489760*ln2*sinf*z5 - 23164200*z2*z5 + 65436255*z7)/322560, 
 H[1, -1, 0, 1, -1, 1, 0, 1] -> (10321920*li7half - 430080*li5half*ln2^2 + 
    1536*ln2^7 - 1747200*ln2*s6 + 1747200*s7a - 2607360*s7b - 
    5160960*li6half*sinf - 860160*li5half*ln2*sinf - 2257920*s6*sinf - 
    752640*li5half*z2 - 53760*li4half*ln2*z2 + 11200*ln2^5*z2 + 
    35840*ln2^4*sinf*z2 + 176512*ln2^3*z2^2 + 408576*ln2^2*sinf*z2^2 + 
    804192*ln2*z2^3 + 727936*sinf*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 + 
    201600*ln2^2*z2*z3 + 33600*ln2*sinf*z2*z3 + 877968*z2^2*z3 + 
    2184000*ln2*z3^2 + 739200*sinf*z3^2 + 4379760*ln2^2*z5 + 
    322560*ln2*sinf*z5 + 9053520*z2*z5 - 24231585*z7)/107520, 
 H[1, -1, 0, 1, -1, 1, -1, 1] -> (2399040*li7half + 120960*li6half*ln2 + 
    30240*li5half*ln2^2 + 3360*li4half*ln2^3 - 420*ln2^7 - 434160*ln2*s6 + 
    484560*s7a - 619200*s7b - 322560*li6half*sinf + 60480*li5half*ln2*sinf - 
    952*ln2^6*sinf - 80640*s6*sinf - 30240*li5half*z2 - 
    10080*li4half*ln2*z2 - 1092*ln2^5*z2 - 8400*ln2^4*sinf*z2 + 
    92652*ln2^3*z2^2 + 64008*ln2^2*sinf*z2^2 + 193248*ln2*z2^3 + 
    57600*sinf*z2^3 + 5040*li4half*z3 - 6405*ln2^4*z3 - 8820*ln2^3*sinf*z3 + 
    34650*ln2^2*z2*z3 + 18900*ln2*sinf*z2*z3 + 186021*z2^2*z3 + 
    527265*ln2*z3^2 + 25830*sinf*z3^2 + 947520*ln2^2*z5 - 
    243495*ln2*sinf*z5 + 1975140*z2*z5 - 5469435*z7)/20160, 
 H[1, -1, 0, 1, -1, 0, 1, 1] -> (-5160960*li7half + 1290240*li5half*ln2^2 + 
    430080*li4half*ln2^3 + 8192*ln2^7 + 800640*ln2*s6 - 800640*s7a + 
    1981440*s7b + 3870720*li6half*sinf + 2580480*li5half*ln2*sinf + 
    645120*li4half*ln2^2*sinf + 10752*ln2^6*sinf + 2096640*s6*sinf - 
    3386880*li5half*z2 - 1451520*li4half*ln2*z2 - 53760*ln2^5*z2 - 
    26880*ln2^4*sinf*z2 + 110880*ln2^3*z2^2 + 60480*ln2^2*sinf*z2^2 - 
    787392*ln2*z2^3 - 437760*sinf*z2^3 + 1068480*li4half*z3 + 
    44520*ln2^4*z3 - 317520*ln2^2*z2*z3 - 100800*ln2*sinf*z2*z3 - 
    1010664*z2^2*z3 - 1000800*ln2*z3^2 - 754740*sinf*z3^2 - 
    4073580*ln2^2*z5 - 2756880*ln2*sinf*z5 - 2233260*z2*z5 + 14509755*z7)/
   161280, H[1, -1, 0, 1, -1, 0, 0, 1] -> 
  (-132480*ln2*s6 + 132480*s7a - 216960*s7b - 107520*s6*sinf + 
    430080*li5half*z2 + 161280*li4half*ln2*z2 + 3136*ln2^5*z2 + 
    53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 + 25760*ln2^3*z2^2 + 
    47040*ln2^2*sinf*z2^2 - 28032*ln2*z2^3 - 44720*sinf*z2^3 - 
    87360*li4half*z3 - 3640*ln2^4*z3 + 31920*ln2^2*z2*z3 + 
    20160*ln2*sinf*z2*z3 + 79176*z2^2*z3 + 165600*ln2*z3^2 + 
    50400*sinf*z3^2 + 410340*ln2^2*z5 + 143640*ln2*sinf*z5 + 116940*z2*z5 - 
    758385*z7)/26880, H[1, -1, 0, 1, -1, 0, -1, 1] -> 
  (-322560*li6half*ln2 - 107520*li5half*ln2^2 + 448*ln2^7 - 183360*ln2*s6 + 
    8640*s7a - 119040*s7b - 645120*li6half*sinf - 215040*li5half*ln2*sinf + 
    896*ln2^6*sinf - 403200*s6*sinf + 20160*li5half*z2 - 
    6720*li4half*ln2*z2 - 2688*ln2^5*z2 + 26880*li4half*sinf*z2 - 
    3360*ln2^4*sinf*z2 + 26208*ln2^3*z2^2 + 38976*ln2^2*sinf*z2^2 + 
    3696*ln2*z2^3 + 52800*sinf*z2^3 - 30240*li4half*z3 - 1260*ln2^4*z3 + 
    14700*ln2^2*z2*z3 + 14280*ln2*sinf*z2*z3 + 44220*z2^2*z3 + 
    122625*ln2*z3^2 + 147840*sinf*z3^2 + 303660*ln2^2*z5 + 
    359940*ln2*sinf*z5 + 269355*z2*z5 - 520200*z7)/13440, 
 H[1, -1, 0, 1, -1, -1, 1, 1] -> (1290240*li7half - 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 3328*ln2^7 - 576000*ln2*s6 + 576000*s7a - 
    794880*s7b - 322560*li5half*ln2*sinf + 2688*ln2^6*sinf + 
    161280*li5half*z2 - 22848*ln2^5*z2 - 26880*ln2^4*sinf*z2 + 
    194880*ln2^3*z2^2 - 16128*ln2^2*sinf*z2^2 - 14112*ln2*z2^3 + 
    5760*sinf*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 + 10080*ln2^2*z2*z3 + 
    243648*z2^2*z3 + 720000*ln2*z3^2 + 1411200*ln2^2*z5 + 
    166320*ln2*sinf*z5 + 2294640*z2*z5 - 5190435*z7)/322560, 
 H[1, -1, 0, 1, -1, -1, 0, 1] -> (-1290240*li7half + 53760*li5half*ln2^2 - 
    192*ln2^7 + 311040*ln2*s6 - 311040*s7a + 347520*s7b + 
    645120*li6half*sinf + 107520*li5half*ln2*sinf + 309120*s6*sinf + 
    134400*li5half*z2 + 94080*li4half*ln2*z2 + 1904*ln2^5*z2 + 
    26880*li4half*sinf*z2 - 3360*ln2^4*sinf*z2 - 45584*ln2^3*z2^2 - 
    67872*ln2^2*sinf*z2^2 - 97056*ln2*z2^3 - 91696*sinf*z2^3 - 
    90720*li4half*z3 - 3780*ln2^4*z3 + 24360*ln2^2*z2*z3 + 
    3360*ln2*sinf*z2*z3 - 64548*z2^2*z3 - 388800*ln2*z3^2 - 
    116970*sinf*z3^2 - 658770*ln2^2*z5 - 41580*ln2*sinf*z5 - 1206270*z2*z5 + 
    2936145*z7)/26880, H[1, -1, 0, 1, -1, -1, -1, 1] -> 
  (-11612160*li7half - 1935360*li6half*ln2 - 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 3200*ln2^7 + 1163520*ln2*s6 - 1969920*s7a + 
    1900800*s7b - 645120*li6half*sinf - 322560*li5half*ln2*sinf + 
    161280*li4half*ln2^2*sinf + 8512*ln2^6*sinf - 1532160*s6*sinf + 
    161280*li5half*z2 - 161280*li4half*ln2*z2 - 2688*ln2^5*z2 + 
    26880*ln2^4*sinf*z2 - 287616*ln2^3*z2^2 - 8064*ln2^2*sinf*z2^2 - 
    1049760*ln2*z2^3 - 165888*sinf*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 + 
    60480*ln2^2*z2*z3 + 141120*ln2*sinf*z2*z3 - 561600*z2^2*z3 - 
    1789560*ln2*z3^2 + 539280*sinf*z3^2 - 2583000*ln2^2*z5 + 
    2333520*ln2*sinf*z5 - 6871320*z2*z5 + 21725145*z7)/322560, 
 H[1, -1, 0, 0, 1, 1, 1, 1] -> (322560*li7half - 161280*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 3200*ln2^7 + 299520*ln2*s6 - 299520*s7a - 
    218880*s7b - 322560*li6half*sinf - 322560*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 4480*ln2^6*sinf + 80640*s6*sinf + 
    161280*li5half*z2 + 322560*li4half*ln2*z2 + 26880*ln2^5*z2 + 
    161280*li4half*sinf*z2 + 26880*ln2^4*sinf*z2 - 67200*ln2^3*z2^2 - 
    40320*ln2^2*sinf*z2^2 - 50400*ln2*z2^3 + 49344*sinf*z2^3 - 
    564480*li4half*z3 - 58800*ln2^4*z3 - 47040*ln2^3*sinf*z3 + 
    272160*ln2^2*z2*z3 - 20160*ln2*sinf*z2*z3 + 632448*z2^2*z3 - 
    374400*ln2*z3^2 - 103320*sinf*z3^2 + 5040*ln2^2*z5 + 166320*ln2*sinf*z5 + 
    557280*z2*z5 - 2989395*z7)/161280, H[1, -1, 0, 0, 1, 1, 0, 1] -> 
  (-76800*ln2*s6 + 76800*s7a + 49920*s7b - 26880*s6*sinf - 53760*li5half*z2 - 
    80640*li4half*ln2*z2 - 2912*ln2^5*z2 - 26880*li4half*sinf*z2 - 
    1120*ln2^4*sinf*z2 + 15680*ln2^3*z2^2 + 6720*ln2^2*sinf*z2^2 + 
    12480*ln2*z2^3 - 1248*sinf*z2^3 + 87360*li4half*z3 + 3640*ln2^4*z3 - 
    68880*ln2^2*z2*z3 - 23520*ln2*sinf*z2*z3 - 104232*z2^2*z3 + 
    96000*ln2*z3^2 + 33600*sinf*z3^2 + 45360*ln2^2*z5 + 38640*ln2*sinf*z5 - 
    152520*z2*z5 + 604965*z7)/26880, H[1, -1, 0, 0, 1, 1, -1, 1] -> 
  (-1935360*li7half + 322560*li5half*ln2^2 - 2304*ln2^7 + 541440*ln2*s6 - 
    1105920*s7a + 1232640*s7b + 645120*li6half*sinf + 
    645120*li5half*ln2*sinf - 4480*ln2^6*sinf + 80640*s6*sinf - 
    322560*li5half*z2 + 21504*ln2^5*z2 + 40320*ln2^4*sinf*z2 - 
    268800*ln2^3*z2^2 - 44352*ln2^2*sinf*z2^2 - 178272*ln2*z2^3 - 
    159744*sinf*z2^3 + 70560*ln2^4*z3 + 94080*ln2^3*sinf*z3 - 
    40320*ln2^2*z2*z3 - 302400*ln2*sinf*z2*z3 - 520704*z2^2*z3 - 
    429840*ln2*z3^2 + 45360*sinf*z3^2 - 1963080*ln2^2*z5 + 
    604800*ln2*sinf*z5 - 3996360*z2*z5 + 9113535*z7)/322560, 
 H[1, -1, 0, 0, 1, 0, 1, 1] -> (-84480*ln2*s6 + 84480*s7a - 103680*s7b - 
    188160*s6*sinf + 107520*li5half*z2 - 896*ln2^5*z2 - 
    107520*li4half*sinf*z2 - 4480*ln2^4*sinf*z2 + 8960*ln2^3*z2^2 + 
    26880*ln2^2*sinf*z2^2 + 36576*ln2*z2^3 + 7360*sinf*z2^3 + 
    215040*li4half*z3 + 8960*ln2^4*z3 - 20160*ln2^2*z2*z3 + 
    67200*ln2*sinf*z2*z3 + 2256*z2^2*z3 + 105600*ln2*z3^2 + 49560*sinf*z3^2 + 
    216720*ln2^2*z5 + 68880*ln2*sinf*z5 - 9600*z2*z5 - 288495*z7)/53760, 
 H[1, -1, 0, 0, 1, 0, 0, 1] -> (24000*ln2*s6 - 24000*s7a + 16320*s7b + 
    40320*s6*sinf + 2064*ln2*z2^3 + 6504*sinf*z2^3 - 13440*li4half*z3 - 
    560*ln2^4*z3 + 3360*ln2^2*z2*z3 + 16224*z2^2*z3 - 30000*ln2*z3^2 - 
    17010*sinf*z3^2 - 57960*ln2^2*z5 - 37800*ln2*sinf*z5 - 32610*z2*z5 - 
    15165*z7)/6720, H[1, -1, 0, 0, 1, 0, -1, 1] -> 
  (-32640*ln2*s6 + 52800*s7a + 79680*s7b + 67200*s6*sinf + 13440*li5half*z2 - 
    112*ln2^5*z2 - 13440*li4half*sinf*z2 - 560*ln2^4*sinf*z2 + 
    1120*ln2^3*z2^2 + 3360*ln2^2*sinf*z2^2 + 26040*ln2*z2^3 + 
    18032*sinf*z2^3 + 16800*li4half*z3 + 700*ln2^4*z3 - 11760*ln2^2*z2*z3 - 
    15120*ln2*sinf*z2*z3 - 23202*z2^2*z3 - 19470*ln2*z3^2 - 21420*sinf*z3^2 - 
    86730*ln2^2*z5 - 121380*ln2*sinf*z5 - 209910*z2*z5 + 390825*z7)/13440, 
 H[1, -1, 0, 0, 1, -1, 1, 1] -> (1290240*li7half - 322560*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 11392*ln2^7 - 1912320*ln2*s6 + 1912320*s7a - 
    1393920*s7b + 1935360*li6half*sinf + 322560*li4half*ln2^2*sinf + 
    16128*ln2^6*sinf - 241920*s6*sinf + 322560*li5half*z2 - 
    645120*li4half*ln2*z2 - 104832*ln2^5*z2 - 322560*li4half*sinf*z2 - 
    134400*ln2^4*sinf*z2 + 595392*ln2^3*z2^2 + 16128*ln2^2*sinf*z2^2 - 
    38880*ln2*z2^3 - 308928*sinf*z2^3 + 1128960*li4half*z3 + 47040*ln2^4*z3 - 
    907200*ln2^2*z2*z3 + 322560*ln2*sinf*z2*z3 - 24624*z2^2*z3 + 
    2390400*ln2*z3^2 - 10080*sinf*z3^2 + 4286520*ln2^2*z5 + 
    604800*ln2*sinf*z5 + 3114360*z2*z5 - 5887935*z7)/322560, 
 H[1, -1, 0, 0, 1, -1, 0, 1] -> (270720*ln2*s6 - 270720*s7a + 186240*s7b + 
    161280*s6*sinf - 26880*li5half*z2 + 80640*li4half*ln2*z2 + 
    3584*ln2^5*z2 + 26880*li4half*sinf*z2 + 1120*ln2^4*sinf*z2 - 
    52640*ln2^3*z2^2 - 67200*ln2^2*sinf*z2^2 + 73104*ln2*z2^3 + 
    16608*sinf*z2^3 - 87360*li4half*z3 - 3640*ln2^4*z3 + 21840*ln2^2*z2*z3 + 
    8700*z2^2*z3 - 338400*ln2*z3^2 - 60480*sinf*z3^2 - 501060*ln2^2*z5 - 
    116760*ln2*sinf*z5 - 450480*z2*z5 + 523455*z7)/26880, 
 H[1, -1, 0, 0, 1, -1, -1, 1] -> (1290240*li7half + 967680*li6half*ln2 + 
    80640*li5half*ln2^2 - 107520*li4half*ln2^3 - 4064*ln2^7 + 334080*ln2*s6 + 
    351360*s7a + 28800*s7b + 483840*li6half*sinf - 
    161280*li4half*ln2^2*sinf - 6048*ln2^6*sinf + 624960*s6*sinf + 
    161280*li4half*ln2*z2 + 25536*ln2^5*z2 + 30240*ln2^4*sinf*z2 - 
    135072*ln2^3*z2^2 - 79632*ln2^2*sinf*z2^2 + 74448*ln2*z2^3 + 
    14880*sinf*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 + 75600*ln2^2*z2*z3 - 
    65520*ln2*sinf*z2*z3 + 23220*z2^2*z3 - 161820*ln2*z3^2 - 
    217980*sinf*z3^2 - 153720*ln2^2*z5 - 541800*ln2*sinf*z5 + 196380*z2*z5 - 
    1327545*z7)/80640, H[1, -1, 0, 0, 0, 1, 1, 1] -> 
  (9600*ln2*s6 - 9600*s7a + 30720*s7b + 40320*s6*sinf - 6432*ln2*z2^3 + 
    2272*sinf*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 - 
    26880*ln2*sinf*z2*z3 - 19248*z2^2*z3 - 12000*ln2*z3^2 + 3360*sinf*z3^2 - 
    51240*ln2^2*z5 - 24360*ln2*sinf*z5 - 79320*z2*z5 + 239235*z7)/26880, 
 H[1, -1, 0, 0, 0, 1, 0, 1] -> (-76800*ln2*s6 + 76800*s7a - 30720*s7b - 
    107520*s6*sinf + 17184*ln2*z2^3 - 7648*sinf*z2^3 + 107520*li4half*z3 + 
    4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 69792*z2^2*z3 + 96000*ln2*z3^2 + 
    20160*sinf*z3^2 + 154560*ln2^2*z5 + 100800*ln2*sinf*z5 + 92760*z2*z5 + 
    6675*z7)/26880, H[1, -1, 0, 0, 0, 1, -1, 1] -> 
  (-50880*ln2*s6 + 71040*s7a - 110400*s7b - 53760*s6*sinf - 
    40320*li4half*ln2*z2 - 1680*ln2^5*z2 + 15120*ln2^3*z2^2 + 
    10080*ln2^2*sinf*z2^2 - 27096*ln2*z2^3 - 7856*sinf*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 4200*ln2^2*z2*z3 + 
    20160*ln2*sinf*z2*z3 + 15318*z2^2*z3 + 104760*ln2*z3^2 + 
    13860*sinf*z3^2 + 194880*ln2^2*z5 + 38220*ln2*sinf*z5 + 310860*z2*z5 - 
    481065*z7)/13440, H[1, -1, 0, 0, 0, 0, 1, 1] -> 
  (1920*ln2*s6 - 1920*s7a + 1920*s6*sinf - 768*ln2*z2^3 - 3840*li4half*z3 - 
    160*ln2^4*z3 + 960*ln2^2*z2*z3 + 1968*z2^2*z3 - 2400*ln2*z3^2 - 
    2760*ln2^2*z5 - 1800*ln2*sinf*z5 + 6300*z2*z5 - 13335*z7)/1920, 
 H[1, -1, 0, 0, 0, 0, 0, 1] -> (-2016*ln2*z2^3 - 992*sinf*z2^3 - 
    1344*z2^2*z3 - 4200*z2*z5 + 17675*z7)/4480, 
 H[1, -1, 0, 0, 0, 0, -1, 1] -> (640*ln2*s6 - 1280*s7b - 688*ln2*z2^3 - 
    112*sinf*z2^3 - 960*li4half*z3 - 40*ln2^4*z3 + 240*ln2^2*z2*z3 + 
    924*z2^2*z3 + 180*ln2*z3^2 + 180*sinf*z3^2 + 1540*ln2^2*z5 + 
    600*ln2*sinf*z5 + 4410*z2*z5 - 8285*z7)/640, 
 H[1, -1, 0, 0, 0, -1, 1, 1] -> (41280*ln2*s6 - 41280*s7a + 46080*s7b + 
    26880*s6*sinf + 20160*li4half*ln2*z2 + 840*ln2^5*z2 - 7560*ln2^3*z2^2 - 
    5040*ln2^2*sinf*z2^2 + 10344*ln2*z2^3 + 3008*sinf*z2^3 - 
    21840*li4half*z3 - 910*ln2^4*z3 + 2940*ln2^2*z2*z3 - 
    12600*ln2*sinf*z2*z3 - 5604*z2^2*z3 - 51600*ln2*z3^2 - 4410*sinf*z3^2 - 
    107625*ln2^2*z5 - 13440*ln2*sinf*z5 - 115095*z2*z5 + 177045*z7)/6720, 
 H[1, -1, 0, 0, 0, -1, 0, 1] -> (-69120*ln2*s6 + 69120*s7a - 38400*s7b - 
    107520*s6*sinf + 9216*ln2*z2^3 - 10016*sinf*z2^3 + 80640*li4half*z3 + 
    3360*ln2^4*z3 - 20160*ln2^2*z2*z3 - 56496*z2^2*z3 + 86400*ln2*z3^2 + 
    25200*sinf*z3^2 + 157920*ln2^2*z5 + 107520*ln2*sinf*z5 + 25860*z2*z5 + 
    112635*z7)/26880, H[1, -1, 0, 0, 0, -1, -1, 1] -> 
  (-4800*ln2*s6 - 28800*s7a - 28800*s7b - 33600*s6*sinf - 11040*ln2*z2^3 - 
    6880*sinf*z2^3 - 3360*li4half*z3 - 140*ln2^4*z3 + 4200*ln2^2*z2*z3 + 
    6720*ln2*sinf*z2*z3 + 8784*z2^2*z3 + 13350*ln2*z3^2 + 11550*sinf*z3^2 + 
    59010*ln2^2*z5 + 52920*ln2*sinf*z5 + 58140*z2*z5 - 131955*z7)/13440, 
 H[1, -1, 0, 0, -1, 1, 1, 1] -> (-645120*li7half + 322560*li5half*ln2^2 + 
    53760*li4half*ln2^3 - 320*ln2^7 + 334080*ln2*s6 - 334080*s7a + 
    633600*s7b + 645120*li5half*ln2*sinf + 161280*li4half*ln2^2*sinf + 
    1344*ln2^6*sinf + 403200*s6*sinf - 322560*li5half*z2 - 
    161280*li4half*ln2*z2 + 6720*ln2^5*z2 - 161280*li4half*sinf*z2 + 
    6720*ln2^4*sinf*z2 - 69216*ln2^3*z2^2 + 94752*ln2^2*sinf*z2^2 + 
    61056*ln2*z2^3 + 109344*sinf*z2^3 + 282240*li4half*z3 + 11760*ln2^4*z3 - 
    5040*ln2^2*z2*z3 - 262080*ln2*sinf*z2*z3 - 242136*z2^2*z3 - 
    417600*ln2*z3^2 - 69300*sinf*z3^2 - 1411200*ln2^2*z5 - 
    947520*ln2*sinf*z5 - 1417680*z2*z5 + 3397455*z7)/161280, 
 H[1, -1, 0, 0, -1, 1, 0, 1] -> (-130560*ln2*s6 + 130560*s7a - 97920*s7b - 
    80640*s6*sinf + 53760*li5half*z2 - 13440*li4half*ln2*z2 - 1008*ln2^5*z2 + 
    22960*ln2^3*z2^2 + 30240*ln2^2*sinf*z2^2 - 30528*ln2*z2^3 - 
    12552*sinf*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 
    7590*z2^2*z3 + 163200*ln2*z3^2 + 30240*sinf*z3^2 + 257250*ln2^2*z5 + 
    71820*ln2*sinf*z5 + 213510*z2*z5 - 286695*z7)/13440, 
 H[1, -1, 0, 0, -1, 1, -1, 1] -> (645120*li7half - 161280*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 2336*ln2^7 - 334080*ln2*s6 + 334080*s7a - 
    633600*s7b - 322560*li5half*ln2*sinf + 2688*ln2^6*sinf - 403200*s6*sinf + 
    161280*li5half*z2 - 80640*li4half*ln2*z2 - 22176*ln2^5*z2 - 
    26880*ln2^4*sinf*z2 + 135408*ln2^3*z2^2 - 16128*ln2^2*sinf*z2^2 - 
    72144*ln2*z2^3 - 75840*sinf*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 - 
    186480*ln2^2*z2*z3 + 40320*ln2*sinf*z2*z3 + 121176*z2^2*z3 + 
    695430*ln2*z3^2 + 141120*sinf*z3^2 + 1369620*ln2^2*z5 + 
    864360*ln2*sinf*z5 + 1459260*z2*z5 - 3155535*z7)/80640, 
 H[1, -1, 0, 0, -1, 0, 1, 1] -> (3360*ln2*s6 - 3360*s7a - 20160*s7b - 
    16800*s6*sinf - 26880*li5half*z2 - 13440*li4half*ln2*z2 - 336*ln2^5*z2 + 
    1120*ln2^3*z2^2 - 5040*ln2*z2^3 - 2120*sinf*z2^3 + 8400*li4half*z3 + 
    350*ln2^4*z3 + 5460*ln2^2*z2*z3 + 15120*ln2*sinf*z2*z3 + 9513*z2^2*z3 - 
    4200*ln2*z3^2 + 1575*sinf*z3^2 + 18480*ln2^2*z5 + 4410*ln2*sinf*z5 + 
    80220*z2*z5 - 122220*z7)/6720, H[1, -1, 0, 0, -1, 0, 0, 1] -> 
  (5760*ln2*s6 - 5760*s7a + 7680*s7b + 13440*s6*sinf + 576*ln2*z2^3 + 
    1840*sinf*z2^3 - 3360*li4half*z3 - 140*ln2^4*z3 + 840*ln2^2*z2*z3 + 
    1950*z2^2*z3 - 7200*ln2*z3^2 - 4410*sinf*z3^2 - 19740*ln2^2*z5 - 
    13440*ln2*sinf*z5 - 19830*z2*z5 + 20285*z7)/2240, 
 H[1, -1, 0, 0, -1, 0, -1, 1] -> (-24960*ln2*s6 + 92160*s7a + 92160*s7b + 
    134400*s6*sinf - 53760*li5half*z2 - 26880*li4half*ln2*z2 - 672*ln2^5*z2 + 
    2240*ln2^3*z2^2 + 15984*ln2*z2^3 + 26960*sinf*z2^3 + 13440*li4half*z3 + 
    560*ln2^4*z3 - 11760*ln2^2*z2*z3 - 16800*ln2*sinf*z2*z3 - 26076*z2^2*z3 - 
    30540*ln2*z3^2 - 46200*sinf*z3^2 - 112980*ln2^2*z5 - 225960*ln2*sinf*z5 - 
    112380*z2*z5 + 381705*z7)/26880, H[1, -1, 0, 0, -1, -1, 1, 1] -> 
  (-1935360*li7half + 1290240*li5half*ln2^2 + 322560*li4half*ln2^3 + 
    3072*ln2^7 + 587520*ln2*s6 - 587520*s7a + 864000*s7b - 
    2580480*li6half*sinf + 645120*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 4480*ln2^6*sinf - 1290240*s6*sinf - 
    1290240*li5half*z2 - 645120*li4half*ln2*z2 + 2688*ln2^5*z2 - 
    322560*li4half*sinf*z2 + 13440*ln2^4*sinf*z2 + 25536*ln2^3*z2^2 + 
    463680*ln2^2*sinf*z2^2 - 78048*ln2*z2^3 + 405696*sinf*z2^3 + 
    1048320*li4half*z3 - 26880*ln2^4*z3 - 94080*ln2^3*sinf*z3 + 
    252000*ln2^2*z2*z3 - 40320*ln2*sinf*z2*z3 - 570960*z2^2*z3 - 
    734400*ln2*z3^2 + 531720*sinf*z3^2 - 3114720*ln2^2*z5 - 
    761040*ln2*sinf*z5 - 874800*z2*z5 + 5134545*z7)/322560, 
 H[1, -1, 0, 0, -1, -1, 0, 1] -> (-13440*ln2*s6 + 13440*s7a + 40320*s7b + 
    26880*s6*sinf + 134400*li5half*z2 + 26880*li4half*ln2*z2 + 
    4480*ln2^3*z2^2 + 43008*ln2*z2^3 + 5424*sinf*z2^3 - 6720*li4half*z3 - 
    280*ln2^4*z3 - 45360*ln2^2*z2*z3 - 23520*ln2*sinf*z2*z3 - 16884*z2^2*z3 + 
    16800*ln2*z3^2 - 7140*sinf*z3^2 - 32760*ln2^2*z5 - 13440*ln2*sinf*z5 - 
    275730*z2*z5 + 287595*z7)/26880, H[1, -1, 0, 0, -1, -1, -1, 1] -> 
  (-4515840*li7half - 3870720*li6half*ln2 - 1290240*li5half*ln2^2 - 
    107520*li4half*ln2^3 + 1792*ln2^7 - 1244160*ln2*s6 - 610560*s7a + 
    1647360*s7b - 1290240*li6half*sinf - 645120*li5half*ln2*sinf + 
    3584*ln2^6*sinf - 80640*s6*sinf + 322560*li5half*z2 - 21504*ln2^5*z2 - 
    26880*ln2^4*sinf*z2 + 26880*ln2^3*z2^2 + 294048*ln2*z2^3 + 
    264192*sinf*z2^3 + 70560*ln2^4*z3 + 94080*ln2^3*sinf*z3 - 
    221760*ln2^2*z2*z3 - 161280*ln2*sinf*z2*z3 - 474624*z2^2*z3 - 
    438120*ln2*z3^2 + 70560*sinf*z3^2 - 947520*ln2^2*z5 - 
    176400*ln2*sinf*z5 - 4821480*z2*z5 + 12099555*z7)/322560, 
 H[1, -1, 0, -1, 1, 1, 1, 1] -> (9676800*li7half + 645120*li5half*ln2^2 + 
    107520*li4half*ln2^3 - 2816*ln2^7 - 506880*ln2*s6 + 506880*s7a - 
    1992960*s7b - 1290240*li6half*sinf + 1290240*li5half*ln2*sinf + 
    161280*li4half*ln2^2*sinf - 5824*ln2^6*sinf - 322560*s6*sinf - 
    645120*li5half*z2 - 322560*li4half*ln2*z2 + 18816*ln2^5*z2 - 
    161280*li4half*sinf*z2 + 6720*ln2^4*sinf*z2 + 235200*ln2^3*z2^2 + 
    310464*ln2^2*sinf*z2^2 + 911520*ln2*z2^3 + 321984*sinf*z2^3 + 
    564480*li4half*z3 - 117600*ln2^4*z3 - 141120*ln2^3*sinf*z3 + 
    564480*ln2^2*z2*z3 + 141120*ln2*sinf*z2*z3 + 1518480*z2^2*z3 + 
    633600*ln2*z3^2 - 161280*sinf*z3^2 + 1635480*ln2^2*z5 - 
    1572480*ln2*sinf*z5 + 6718680*z2*z5 - 22965435*z7)/322560, 
 H[1, -1, 0, -1, 1, 1, 0, 1] -> (-2580480*li7half + 107520*li5half*ln2^2 - 
    384*ln2^7 + 84480*ln2*s6 - 84480*s7a + 587520*s7b + 
    1290240*li6half*sinf + 215040*li5half*ln2*sinf + 483840*s6*sinf + 
    215040*li5half*z2 - 161280*li4half*ln2*z2 - 10304*ln2^5*z2 - 
    53760*li4half*sinf*z2 - 11200*ln2^4*sinf*z2 + 21952*ln2^3*z2^2 - 
    48384*ln2^2*sinf*z2^2 - 177984*ln2*z2^3 - 180832*sinf*z2^3 + 
    174720*li4half*z3 + 7280*ln2^4*z3 - 218400*ln2^2*z2*z3 - 
    67200*ln2*sinf*z2*z3 - 400248*z2^2*z3 - 87960*ln2*z3^2 - 
    111720*sinf*z3^2 - 674520*ln2^2*z5 - 47040*ln2*sinf*z5 - 2133240*z2*z5 + 
    6383955*z7)/53760, H[1, -1, 0, -1, 1, 1, -1, 1] -> 
  (-241920*li7half - 80640*li6half*ln2 - 40320*li5half*ln2^2 + 272*ln2^7 - 
    46080*ln2*s6 - 34560*s7a + 46080*s7b - 80640*li6half*sinf - 
    80640*li5half*ln2*sinf + 560*ln2^6*sinf - 80640*s6*sinf + 
    40320*li5half*z2 - 3024*ln2^5*z2 - 5040*ln2^4*sinf*z2 + 
    16464*ln2^3*z2^2 - 2016*ln2^2*sinf*z2^2 - 16992*ln2*z2^3 + 
    672*sinf*z2^3 + 5880*ln2^4*z3 + 5880*ln2^3*sinf*z3 - 35280*ln2^2*z2*z3 - 
    17640*ln2*sinf*z2*z3 - 25596*z2^2*z3 + 37755*ln2*z3^2 + 34650*sinf*z3^2 + 
    6720*ln2^2*z5 + 169680*ln2*sinf*z5 - 222720*z2*z5 + 564390*z7)/13440, 
 H[1, -1, 0, -1, 1, 0, 1, 1] -> (10321920*li7half - 2580480*li5half*ln2^2 - 
    860160*li4half*ln2^3 - 16384*ln2^7 - 1958400*ln2*s6 + 1958400*s7a - 
    3121920*s7b - 7741440*li6half*sinf - 5160960*li5half*ln2*sinf - 
    1290240*li4half*ln2^2*sinf - 21504*ln2^6*sinf - 3709440*s6*sinf + 
    7096320*li5half*z2 + 2580480*li4half*ln2*z2 + 91392*ln2^5*z2 + 
    53760*ln2^4*sinf*z2 - 114240*ln2^3*z2^2 - 120960*ln2^2*sinf*z2^2 + 
    1871712*ln2*z2^3 + 944640*sinf*z2^3 - 1935360*li4half*z3 - 
    80640*ln2^4*z3 + 40320*ln2^2*z2*z3 - 40320*ln2*sinf*z2*z3 + 
    1707984*z2^2*z3 + 2236320*ln2*z3^2 + 1401120*sinf*z3^2 + 
    7476840*ln2^2*z5 + 5110560*ln2*sinf*z5 + 1522440*z2*z5 - 23870745*z7)/
   322560, H[1, -1, 0, -1, 1, 0, 0, 1] -> 
  (30720*ln2*s6 - 30720*s7a + 56640*s7b + 26880*s6*sinf - 107520*li5half*z2 - 
    40320*li4half*ln2*z2 - 784*ln2^5*z2 - 13440*li4half*sinf*z2 - 
    560*ln2^4*sinf*z2 - 6440*ln2^3*z2^2 - 11760*ln2^2*sinf*z2^2 + 
    3828*ln2*z2^3 + 9700*sinf*z2^3 + 16800*li4half*z3 + 700*ln2^4*z3 - 
    5460*ln2^2*z2*z3 - 2520*ln2*sinf*z2*z3 - 10509*z2^2*z3 - 51630*ln2*z3^2 - 
    11970*sinf*z3^2 - 99225*ln2^2*z5 - 29190*ln2*sinf*z5 - 48045*z2*z5 + 
    207855*z7)/6720, H[1, -1, 0, -1, 1, 0, -1, 1] -> 
  (161280*li6half*ln2 + 53760*li5half*ln2^2 - 224*ln2^7 + 66240*ln2*s6 + 
    31200*s7a + 74880*s7b + 322560*li6half*sinf + 107520*li5half*ln2*sinf - 
    448*ln2^6*sinf + 201600*s6*sinf - 6720*li5half*z2 + 1176*ln2^5*z2 - 
    13440*li4half*sinf*z2 + 1680*ln2^4*sinf*z2 - 11984*ln2^3*z2^2 - 
    19488*ln2^2*sinf*z2^2 - 1272*ln2*z2^3 - 26904*sinf*z2^3 + 
    16800*li4half*z3 + 700*ln2^4*z3 - 14070*ln2^2*z2*z3 - 
    10920*ln2*sinf*z2*z3 - 25182*z2^2*z3 - 54870*ln2*z3^2 - 72870*sinf*z3^2 - 
    128100*ln2^2*z5 - 171570*ln2*sinf*z5 - 190245*z2*z5 + 382500*z7)/6720, 
 H[1, -1, 0, -1, 1, -1, 1, 1] -> (-18547200*li7half + 161280*li5half*ln2^2 + 
    2336*ln2^7 + 3899520*ln2*s6 - 3899520*s7a + 5011200*s7b + 
    3548160*li6half*sinf + 4928*ln2^6*sinf + 1612800*s6*sinf - 
    161280*li5half*z2 + 18144*ln2^5*z2 + 87360*ln2^4*sinf*z2 - 
    754656*ln2^3*z2^2 - 512064*ln2^2*sinf*z2^2 - 1514592*ln2*z2^3 - 
    460224*sinf*z2^3 + 17640*ln2^4*z3 - 75600*ln2^2*z2*z3 + 
    60480*ln2*sinf*z2*z3 - 1414008*z2^2*z3 - 4768560*ln2*z3^2 - 
    622440*sinf*z3^2 - 8473500*ln2^2*z5 + 161280*ln2*sinf*z5 - 
    15157620*z2*z5 + 42375195*z7)/161280, H[1, -1, 0, -1, 1, -1, 0, 1] -> 
  (645120*li7half - 26880*li5half*ln2^2 + 96*ln2^7 - 124320*ln2*s6 + 
    124320*s7a - 147840*s7b - 322560*li6half*sinf - 53760*li5half*ln2*sinf - 
    141120*s6*sinf - 20160*li5half*z2 + 616*ln2^5*z2 + 2240*ln2^4*sinf*z2 + 
    12432*ln2^3*z2^2 + 25536*ln2^2*sinf*z2^2 + 57360*ln2*z2^3 + 
    42848*sinf*z2^3 + 2730*ln2^2*z2*z3 - 3360*ln2*sinf*z2*z3 + 
    44268*z2^2*z3 + 137760*ln2*z3^2 + 53760*sinf*z3^2 + 279615*ln2^2*z5 + 
    31920*ln2*sinf*z5 + 481320*z2*z5 - 1366260*z7)/6720, 
 H[1, -1, 0, -1, 1, -1, -1, 1] -> (2661120*li7half + 161280*li6half*ln2 - 
    53760*li5half*ln2^2 - 26880*li4half*ln2^3 - 976*ln2^7 - 521280*ln2*s6 + 
    682560*s7a - 587520*s7b - 322560*li6half*sinf - 53760*li5half*ln2*sinf - 
    40320*li4half*ln2^2*sinf - 1680*ln2^6*sinf - 20160*s6*sinf + 
    26880*li5half*z2 + 40320*li4half*ln2*z2 + 1344*ln2^5*z2 - 
    7840*ln2^4*sinf*z2 + 79520*ln2^3*z2^2 + 37632*ln2^2*sinf*z2^2 + 
    215328*ln2*z2^3 + 66048*sinf*z2^3 - 10080*li4half*z3 - 3360*ln2^4*z3 + 
    2520*ln2^2*z2*z3 - 35280*ln2*sinf*z2*z3 + 177984*z2^2*z3 + 
    598680*ln2*z3^2 + 16380*sinf*z3^2 + 1145340*ln2^2*z5 - 
    144060*ln2*sinf*z5 + 1837560*z2*z5 - 5378895*z7)/26880, 
 H[1, -1, 0, -1, 0, 1, 1, 1] -> (-645120*li7half + 322560*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 6400*ln2^7 - 933120*ln2*s6 + 933120*s7a + 
    1094400*s7b + 645120*li6half*sinf + 645120*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 8960*ln2^6*sinf + 161280*s6*sinf - 
    322560*li5half*z2 - 645120*li4half*ln2*z2 - 53760*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 53760*ln2^4*sinf*z2 + 134400*ln2^3*z2^2 + 
    80640*ln2^2*sinf*z2^2 + 190368*ln2*z2^3 - 50112*sinf*z2^3 + 
    1774080*li4half*z3 + 144480*ln2^4*z3 + 94080*ln2^3*sinf*z3 - 
    811440*ln2^2*z2*z3 - 171360*ln2*sinf*z2*z3 - 1632096*z2^2*z3 + 
    1219320*ln2*z3^2 + 132300*sinf*z3^2 - 415800*ln2^2*z5 - 
    519120*ln2*sinf*z5 - 2960280*z2*z5 + 9455895*z7)/161280, 
 H[1, -1, 0, -1, 0, 1, 0, 1] -> (318720*ln2*s6 - 318720*s7a - 318720*s7b + 
    107520*li5half*z2 + 161280*li4half*ln2*z2 + 5824*ln2^5*z2 + 
    53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 - 31360*ln2^3*z2^2 - 
    13440*ln2^2*sinf*z2^2 - 57168*ln2*z2^3 - 4656*sinf*z2^3 - 
    389760*li4half*z3 - 16240*ln2^4*z3 + 201600*ln2^2*z2*z3 + 
    67200*ln2*sinf*z2*z3 + 319524*z2^2*z3 - 292560*ln2*z3^2 - 
    45360*sinf*z3^2 - 26880*ln2^2*z5 - 53760*ln2*sinf*z5 + 935400*z2*z5 - 
    2422725*z7)/26880, H[1, -1, 0, -1, 0, 1, -1, 1] -> 
  (-1935360*li7half - 1935360*li6half*ln2 - 322560*li5half*ln2^2 + 
    384*ln2^7 + 345600*ln2*s6 - 829440*s7a - 1393920*s7b - 
    2580480*li6half*sinf - 645120*li5half*ln2*sinf + 1792*ln2^6*sinf - 
    1290240*s6*sinf + 322560*li5half*z2 + 967680*li4half*ln2*z2 + 
    43008*ln2^5*z2 - 77952*ln2^3*z2^2 + 274176*ln2^2*sinf*z2^2 - 
    439200*ln2*z2^3 + 350208*sinf*z2^3 - 645120*li4half*z3 - 97440*ln2^4*z3 - 
    94080*ln2^3*sinf*z3 + 1310400*ln2^2*z2*z3 + 403200*ln2*sinf*z2*z3 + 
    795888*z2^2*z3 - 564300*ln2*z3^2 + 388080*sinf*z3^2 + 415800*ln2^2*z5 - 
    262080*ln2*sinf*z5 + 4243320*z2*z5 - 7515855*z7)/161280, 
 H[1, -1, 0, -1, 0, 0, 1, 1] -> (24960*ln2*s6 - 24960*s7a + 42240*s7b + 
    67200*s6*sinf - 107520*li5half*z2 + 896*ln2^5*z2 + 
    107520*li4half*sinf*z2 + 4480*ln2^4*sinf*z2 - 8960*ln2^3*z2^2 - 
    26880*ln2^2*sinf*z2^2 - 37824*ln2*z2^3 - 24640*sinf*z2^3 - 
    107520*li4half*z3 - 4480*ln2^4*z3 + 38640*ln2^2*z2*z3 + 
    23520*ln2*sinf*z2*z3 + 34392*z2^2*z3 - 84120*ln2*z3^2 - 36540*sinf*z3^2 - 
    60480*ln2^2*z5 + 9240*ln2*sinf*z5 + 85920*z2*z5 + 15615*z7)/26880, 
 H[1, -1, 0, -1, 0, 0, 0, 1] -> (-107520*ln2*s6 + 107520*s7a - 
    107520*s6*sinf - 9408*ln2*z2^3 - 25024*sinf*z2^3 + 107520*li4half*z3 + 
    4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 91896*z2^2*z3 + 134400*ln2*z3^2 + 
    60480*sinf*z3^2 + 157920*ln2^2*z5 + 107520*ln2*sinf*z5 - 84840*z2*z5 + 
    443835*z7)/26880, H[1, -1, 0, -1, 0, 0, -1, 1] -> 
  (-6720*ln2*s6 - 26880*s7a - 26880*s7b - 67200*s6*sinf - 26880*li5half*z2 + 
    224*ln2^5*z2 + 26880*li4half*sinf*z2 + 1120*ln2^4*sinf*z2 - 
    2240*ln2^3*z2^2 - 6720*ln2^2*sinf*z2^2 - 22848*ln2*z2^3 - 
    23560*sinf*z2^3 + 6720*li4half*z3 + 280*ln2^4*z3 + 5040*ln2^2*z2*z3 + 
    13440*ln2*sinf*z2*z3 + 1974*z2^2*z3 + 24570*ln2*z3^2 + 20580*sinf*z3^2 + 
    75810*ln2^2*z5 + 151620*ln2*sinf*z5 + 57330*z2*z5 - 74235*z7)/13440, 
 H[1, -1, 0, -1, 0, -1, 1, 1] -> (645120*li7half - 483840*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 5056*ln2^7 + 80640*ln2*s6 - 80640*s7a + 
    403200*s7b - 645120*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 
    8064*ln2^6*sinf + 322560*s6*sinf + 483840*li5half*z2 + 
    161280*li4half*ln2*z2 + 18816*ln2^5*z2 + 322560*li4half*sinf*z2 + 
    40320*ln2^4*sinf*z2 - 68544*ln2^3*z2^2 - 217728*ln2^2*sinf*z2^2 + 
    266688*ln2*z2^3 - 55872*sinf*z2^3 - 604800*li4half*z3 - 25200*ln2^4*z3 - 
    176400*ln2^2*z2*z3 + 10080*ln2*sinf*z2*z3 + 84168*z2^2*z3 - 
    312480*ln2*z3^2 - 133560*sinf*z3^2 - 221760*ln2^2*z5 + 
    572040*ln2*sinf*z5 - 1446480*z2*z5 + 1176525*z7)/80640, 
 H[1, -1, 0, -1, 0, -1, 0, 1] -> (92160*ln2*s6 - 92160*s7a - 199680*s7b - 
    107520*s6*sinf - 268800*li5half*z2 - 161280*li4half*ln2*z2 - 
    4480*ln2^5*z2 - 53760*li4half*sinf*z2 - 2240*ln2^4*sinf*z2 + 
    17920*ln2^3*z2^2 + 13440*ln2^2*sinf*z2^2 - 67728*ln2*z2^3 + 
    144*sinf*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 + 10080*ln2^2*z2*z3 + 
    26880*ln2*sinf*z2*z3 + 58332*z2^2*z3 + 25920*ln2*z3^2 + 38640*sinf*z3^2 + 
    131040*ln2^2*z5 + 53760*ln2*sinf*z5 + 760020*z2*z5 - 1013175*z7)/26880, 
 H[1, -1, 0, -1, 0, -1, -1, 1] -> (2580480*li7half + 3870720*li6half*ln2 + 
    1935360*li5half*ln2^2 + 430080*li4half*ln2^3 + 6656*ln2^7 + 
    1808640*ln2*s6 - 1566720*s7a - 1969920*s7b + 3870720*li6half*sinf + 
    2580480*li5half*ln2*sinf + 645120*li4half*ln2^2*sinf + 10752*ln2^6*sinf + 
    241920*s6*sinf - 1290240*li5half*z2 - 645120*li4half*ln2*z2 - 
    32256*ln2^5*z2 - 26880*ln2^4*sinf*z2 + 53760*ln2^3*z2^2 - 
    762336*ln2*z2^3 - 792576*sinf*z2^3 + 322560*li4half*z3 + 13440*ln2^4*z3 + 
    161280*ln2^2*z2*z3 + 483840*ln2*sinf*z2*z3 + 387936*z2^2*z3 + 
    385200*ln2*z3^2 - 216720*sinf*z3^2 + 496440*ln2^2*z5 - 
    100800*ln2*sinf*z5 + 5849640*z2*z5 - 12256425*z7)/322560, 
 H[1, -1, 0, -1, -1, 1, 1, 1] -> (19998720*li7half + 645120*li5half*ln2^2 + 
    483840*li4half*ln2^3 + 10816*ln2^7 - 4988160*ln2*s6 + 4988160*s7a - 
    3075840*s7b - 3548160*li6half*sinf + 1290240*li5half*ln2*sinf + 
    483840*li4half*ln2^2*sinf + 4480*ln2^6*sinf - 1370880*s6*sinf - 
    645120*li5half*z2 - 1451520*li4half*ln2*z2 - 119616*ln2^5*z2 - 
    483840*li4half*sinf*z2 - 120960*ln2^4*sinf*z2 + 806400*ln2^3*z2^2 + 
    673344*ln2^2*sinf*z2^2 + 2282976*ln2*z2^3 + 551808*sinf*z2^3 + 
    2540160*li4half*z3 + 246960*ln2^4*z3 + 141120*ln2^3*sinf*z3 - 
    1300320*ln2^2*z2*z3 - 483840*ln2*sinf*z2*z3 - 994608*z2^2*z3 + 
    6129360*ln2*z3^2 + 902160*sinf*z3^2 + 7113960*ln2^2*z5 - 
    1396080*ln2*sinf*z5 + 9985320*z2*z5 - 28942965*z7)/322560, 
 H[1, -1, 0, -1, -1, 1, 0, 1] -> (-2580480*li7half + 107520*li5half*ln2^2 - 
    384*ln2^7 + 706560*ln2*s6 - 706560*s7a + 72960*s7b + 
    1290240*li6half*sinf + 215040*li5half*ln2*sinf + 430080*s6*sinf + 
    107520*li5half*z2 + 161280*li4half*ln2*z2 + 4032*ln2^5*z2 + 
    26880*li4half*sinf*z2 - 7840*ln2^4*sinf*z2 - 77728*ln2^3*z2^2 - 
    88704*ln2^2*sinf*z2^2 - 361056*ln2*z2^3 - 180224*sinf*z2^3 - 
    248640*li4half*z3 - 10360*ln2^4*z3 + 260400*ln2^2*z2*z3 + 
    114240*ln2*sinf*z2*z3 + 160464*z2^2*z3 - 653880*ln2*z3^2 - 
    242760*sinf*z3^2 - 796740*ln2^2*z5 - 83160*ln2*sinf*z5 - 255900*z2*z5 + 
    1896945*z7)/53760, H[1, -1, 0, -1, -1, 1, -1, 1] -> 
  (-9676800*li7half - 645120*li6half*ln2 - 107520*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 320*ln2^7 + 2039040*ln2*s6 - 2280960*s7a + 
    1670400*s7b + 967680*li6half*sinf - 215040*li5half*ln2*sinf + 
    3136*ln2^6*sinf + 161280*s6*sinf + 107520*li5half*z2 + 
    161280*li4half*ln2*z2 + 23744*ln2^5*z2 + 42560*ln2^4*sinf*z2 - 
    320320*ln2^3*z2^2 - 155904*ln2^2*sinf*z2^2 - 852576*ln2*z2^3 - 
    159744*sinf*z2^3 - 80640*li4half*z3 - 50400*ln2^4*z3 - 
    47040*ln2^3*sinf*z3 + 302400*ln2^2*z2*z3 + 282240*ln2*sinf*z2*z3 - 
    407664*z2^2*z3 - 2284200*ln2*z3^2 - 131040*sinf*z3^2 - 3725400*ln2^2*z5 + 
    204960*ln2*sinf*z5 - 5132760*z2*z5 + 16422255*z7)/107520, 
 H[1, -1, 0, -1, -1, 0, 1, 1] -> (73600*ln2*s6 - 73600*s7a - 60160*s7b + 
    13440*s6*sinf + 53760*li4half*ln2*z2 + 2240*ln2^5*z2 + 
    53760*li4half*sinf*z2 + 2240*ln2^4*sinf*z2 - 13440*ln2^3*z2^2 - 
    13440*ln2^2*sinf*z2^2 - 25792*ln2*z2^3 - 13920*sinf*z2^3 - 
    141120*li4half*z3 - 5880*ln2^4*z3 + 79520*ln2^2*z2*z3 + 
    41440*ln2*sinf*z2*z3 + 92560*z2^2*z3 - 121400*ln2*z3^2 - 
    18340*sinf*z3^2 - 20440*ln2^2*z5 - 14840*ln2*sinf*z5 + 232440*z2*z5 - 
    546705*z7)/17920, H[1, -1, 0, -1, -1, 0, 0, 1] -> 
  (-71040*ln2*s6 + 71040*s7a + 84480*s7b + 13440*s6*sinf + 8688*ln2*z2^3 - 
    2816*sinf*z2^3 + 70560*li4half*z3 + 2940*ln2^4*z3 - 21000*ln2^2*z2*z3 - 
    6720*ln2*sinf*z2*z3 - 71076*z2^2*z3 + 53520*ln2*z3^2 + 10500*sinf*z3^2 - 
    16380*ln2^2*z5 - 6720*ln2*sinf*z5 - 282390*z2*z5 + 637185*z7)/13440, 
 H[1, -1, 0, -1, -1, 0, -1, 1] -> (-30080*ln2*s6 + 43520*s7a + 16640*s7b + 
    26880*li4half*ln2*z2 + 1120*ln2^5*z2 + 26880*li4half*sinf*z2 + 
    1120*ln2^4*sinf*z2 - 6720*ln2^3*z2^2 - 6720*ln2^2*sinf*z2^2 - 
    16096*ln2*z2^3 - 10752*sinf*z2^3 - 47040*li4half*z3 - 1960*ln2^4*z3 + 
    22400*ln2^2*z2*z3 - 2240*ln2*sinf*z2*z3 + 16384*z2^2*z3 - 
    24140*ln2*z3^2 + 560*sinf*z3^2 + 50820*ln2^2*z5 + 49560*ln2*sinf*z5 - 
    48460*z2*z5 + 120105*z7)/17920, H[1, -1, 0, -1, -1, -1, 1, 1] -> 
  (194880*li7half - 20160*li5half*ln2^2 - 12320*li4half*ln2^3 - 384*ln2^7 - 
    12720*ln2*s6 + 12720*s7a - 19200*s7b - 20160*li6half*sinf - 
    13440*li5half*ln2*sinf - 13440*li4half*ln2^2*sinf - 476*ln2^6*sinf + 
    13440*s6*sinf + 20160*li5half*z2 + 26880*li4half*ln2*z2 + 2324*ln2^5*z2 + 
    13440*li4half*sinf*z2 + 1540*ln2^4*sinf*z2 - 1708*ln2^3*z2^2 - 
    2856*ln2^2*sinf*z2^2 + 22884*ln2*z2^3 + 1536*sinf*z2^3 - 
    44520*li4half*z3 - 4060*ln2^4*z3 - 1960*ln2^3*sinf*z3 + 
    12600*ln2^2*z2*z3 - 2940*ln2*sinf*z2*z3 + 21186*z2^2*z3 + 465*ln2*z3^2 - 
    3570*sinf*z3^2 + 25935*ln2^2*z5 - 210*ln2*sinf*z5 + 62385*z2*z5 - 
    321735*z7)/6720, H[1, -1, 0, -1, -1, -1, 0, 1] -> 
  (-180480*ln2*s6 + 180480*s7a - 88320*s7b - 268800*s6*sinf - 
    645120*li5half*z2 - 645120*li4half*ln2*z2 - 21504*ln2^5*z2 - 
    161280*li4half*sinf*z2 - 6720*ln2^4*sinf*z2 + 107520*ln2^3*z2^2 + 
    40320*ln2^2*sinf*z2^2 - 33504*ln2*z2^3 + 7168*sinf*z2^3 + 
    564480*li4half*z3 + 23520*ln2^4*z3 - 372960*ln2^2*z2*z3 - 
    40320*ln2*sinf*z2*z3 - 202752*z2^2*z3 + 507840*ln2*z3^2 + 
    99120*sinf*z3^2 + 421680*ln2^2*z5 + 322560*ln2*sinf*z5 + 458520*z2*z5 + 
    472095*z7)/107520, H[1, -1, 0, -1, -1, -1, -1, 1] -> 
  (967680*li7half + 1935360*li6half*ln2 + 1290240*li5half*ln2^2 + 
    483840*li4half*ln2^3 + 11904*ln2^7 + 11520*ln2*s6 - 92160*s7a - 
    172800*s7b + 1612800*li6half*sinf + 1290240*li5half*ln2*sinf + 
    483840*li4half*ln2^2*sinf + 11648*ln2^6*sinf - 645120*li5half*z2 - 
    483840*li4half*ln2*z2 - 64512*ln2^5*z2 - 47040*ln2^4*sinf*z2 + 
    67200*ln2^3*z2^2 - 343584*ln2*z2^3 - 368640*sinf*z2^3 + 
    120960*li4half*z3 + 110880*ln2^4*z3 + 94080*ln2^3*sinf*z3 - 
    171360*ln2^2*z2*z3 - 9792*z2^2*z3 + 197280*ln2*z3^2 + 473760*ln2^2*z5 + 
    322560*ln2*sinf*z5 + 348840*z2*z5 - 573435*z7)/322560, 
 H[1, -1, -1, 1, 1, 1, 1, 1] -> (-161280*li7half + 26880*li5half*ln2^2 - 
    128*ln2^7 + 51840*ln2*s6 - 51840*s7a - 38400*s7b + 107520*li6half*sinf + 
    53760*li5half*ln2*sinf - 224*ln2^6*sinf + 26880*s6*sinf - 
    26880*li5half*z2 + 1568*ln2^5*z2 + 2240*ln2^4*sinf*z2 + 224*ln2^3*z2^2 + 
    1344*ln2^2*sinf*z2^2 - 25152*ln2*z2^3 - 10752*sinf*z2^3 - 6720*ln2^4*z3 - 
    8960*ln2^3*sinf*z3 + 40320*ln2^2*z2*z3 + 26880*ln2*sinf*z2*z3 + 
    71520*z2^2*z3 - 64800*ln2*z3^2 - 33600*sinf*z3^2 - 39900*ln2^2*z5 - 
    53760*ln2*sinf*z5 + 139260*z2*z5 - 292455*z7)/53760, 
 H[1, -1, -1, 1, 1, 1, 0, 1] -> (-2096640*li7half + 80640*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 2496*ln2^7 + 293760*ln2*s6 - 293760*s7a + 
    875520*s7b + 806400*li6half*sinf + 161280*li5half*ln2*sinf - 
    80640*li4half*ln2^2*sinf - 3584*ln2^6*sinf + 282240*s6*sinf - 
    241920*li5half*z2 - 161280*li4half*ln2*z2 + 11424*ln2^5*z2 - 
    80640*li4half*sinf*z2 + 16800*ln2^4*sinf*z2 - 69216*ln2^3*z2^2 - 
    50400*ln2^2*sinf*z2^2 - 167040*ln2*z2^3 - 126720*sinf*z2^3 + 
    241920*li4half*z3 - 10080*ln2^4*z3 - 26880*ln2^3*sinf*z3 - 
    181440*ln2^2*z2*z3 - 80640*ln2*sinf*z2*z3 - 483552*z2^2*z3 - 
    367200*ln2*z3^2 - 15120*sinf*z3^2 - 1057140*ln2^2*z5 + 
    151200*ln2*sinf*z5 - 2689020*z2*z5 + 7559865*z7)/161280, 
 H[1, -1, -1, 1, 1, 1, -1, 1] -> (1290240*li7half - 322560*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 2432*ln2^7 - 368640*ln2*s6 + 368640*s7a - 
    518400*s7b - 967680*li6half*sinf - 645120*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 3136*ln2^6*sinf - 967680*s6*sinf + 
    322560*li5half*z2 + 161280*li4half*ln2*z2 + 10752*ln2^5*z2 + 
    6720*ln2^4*sinf*z2 - 28224*ln2^3*z2^2 - 8064*ln2^2*sinf*z2^2 - 
    50016*ln2*z2^3 - 5376*sinf*z2^3 - 40320*li4half*z3 + 3360*ln2^4*z3 + 
    6720*ln2^3*sinf*z3 - 161280*ln2^2*z2*z3 - 161280*ln2*sinf*z2*z3 + 
    56304*z2^2*z3 + 783360*ln2*z3^2 + 420840*sinf*z3^2 + 1801800*ln2^2*z5 + 
    1884960*ln2*sinf*z5 + 608040*z2*z5 - 2311875*z7)/322560, 
 H[1, -1, -1, 1, 1, 0, 1, 1] -> (725760*li7half - 161280*li5half*ln2^2 + 
    1200*ln2^7 + 69120*ln2*s6 - 69120*s7a - 149760*s7b - 
    645120*li6half*sinf - 322560*li5half*ln2*sinf + 1792*ln2^6*sinf - 
    100800*s6*sinf + 161280*li5half*z2 + 120960*li4half*ln2*z2 - 
    4032*ln2^5*z2 + 120960*li4half*sinf*z2 - 5040*ln2^4*sinf*z2 - 
    23520*ln2^3*z2^2 - 27216*ln2^2*sinf*z2^2 + 82656*ln2*z2^3 + 
    83232*sinf*z2^3 - 393120*li4half*z3 + 12600*ln2^4*z3 + 
    38640*ln2^3*sinf*z3 + 35280*ln2^2*z2*z3 - 10080*ln2*sinf*z2*z3 + 
    215424*z2^2*z3 - 86400*ln2*z3^2 + 26460*sinf*z3^2 + 122220*ln2^2*z5 + 
    88200*ln2*sinf*z5 + 361800*z2*z5 - 1795995*z7)/80640, 
 H[1, -1, -1, 1, 1, 0, 0, 1] -> (1290240*li7half - 161280*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 1152*ln2^7 - 449280*ln2*s6 + 449280*s7a - 
    437760*s7b - 645120*li6half*sinf - 322560*li5half*ln2*sinf - 
    80640*li4half*ln2^2*sinf - 1568*ln2^6*sinf - 443520*s6*sinf - 
    161280*li5half*z2 - 161280*li4half*ln2*z2 - 80640*li4half*sinf*z2 + 
    3360*ln2^4*sinf*z2 + 59808*ln2^3*z2^2 + 50400*ln2^2*sinf*z2^2 + 
    83232*ln2*z2^3 + 89280*sinf*z2^3 + 241920*li4half*z3 - 
    13440*ln2^3*sinf*z3 - 50400*ln2^2*z2*z3 - 5040*ln2*sinf*z2*z3 + 
    30096*z2^2*z3 + 561600*ln2*z3^2 + 168210*sinf*z3^2 + 1052100*ln2^2*z5 + 
    385560*ln2*sinf*z5 + 1469880*z2*z5 - 3272625*z7)/80640, 
 H[1, -1, -1, 1, 1, 0, -1, 1] -> (1290240*li7half - 483840*li6half*ln2 - 
    322560*li5half*ln2^2 + 1760*ln2^7 - 593280*ln2*s6 + 109440*s7a - 
    92160*s7b - 1774080*li6half*sinf - 645120*li5half*ln2*sinf + 
    2912*ln2^6*sinf - 685440*s6*sinf + 322560*li5half*z2 - 11424*ln2^5*z2 - 
    13440*ln2^4*sinf*z2 + 83328*ln2^3*z2^2 + 96768*ln2^2*sinf*z2^2 + 
    371808*ln2*z2^3 + 262080*sinf*z2^3 + 12600*ln2^4*z3 + 
    16800*ln2^3*sinf*z3 - 30240*ln2^2*z2*z3 - 10080*ln2*sinf*z2*z3 + 
    39096*z2^2*z3 + 291780*ln2*z3^2 + 253260*sinf*z3^2 + 302400*ln2^2*z5 + 
    214200*ln2*sinf*z5 + 133380*z2*z5 - 2043855*z7)/161280, 
 H[1, -1, -1, 1, 1, -1, 1, 1] -> (-967680*li7half + 483840*li5half*ln2^2 + 
    322560*li4half*ln2^3 + 9216*ln2^7 + 380160*ln2*s6 - 380160*s7a + 
    587520*s7b + 967680*li6half*sinf + 967680*li5half*ln2*sinf + 
    483840*li4half*ln2^2*sinf + 12992*ln2^6*sinf + 967680*s6*sinf - 
    483840*li5half*z2 - 483840*li4half*ln2*z2 - 59136*ln2^5*z2 - 
    60480*ln2^4*sinf*z2 + 65856*ln2^3*z2^2 - 8064*ln2^2*sinf*z2^2 + 
    95328*ln2*z2^3 + 2304*sinf*z2^3 + 120960*li4half*z3 + 115920*ln2^4*z3 + 
    147840*ln2^3*sinf*z3 - 252000*ln2^2*z2*z3 - 103392*z2^2*z3 - 
    475200*ln2*z3^2 - 418320*sinf*z3^2 - 1786680*ln2^2*z5 - 
    1859760*ln2*sinf*z5 - 906840*z2*z5 + 2791485*z7)/322560, 
 H[1, -1, -1, 1, 1, -1, 0, 1] -> (2580480*li7half - 322560*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 2304*ln2^7 - 737280*ln2*s6 + 737280*s7a - 
    1036800*s7b - 1290240*li6half*sinf - 645120*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 3136*ln2^6*sinf - 887040*s6*sinf + 
    322560*li5half*z2 + 161280*li4half*ln2*z2 + 10080*ln2^5*z2 + 
    10080*ln2^4*sinf*z2 + 75936*ln2^3*z2^2 + 70560*ln2^2*sinf*z2^2 + 
    116064*ln2*z2^3 + 103968*sinf*z2^3 - 40320*li4half*z3 - 34440*ln2^4*z3 - 
    43680*ln2^3*sinf*z3 + 95760*ln2^2*z2*z3 + 10080*ln2*sinf*z2*z3 + 
    281448*z2^2*z3 + 921600*ln2*z3^2 + 347760*sinf*z3^2 + 2228940*ln2^2*z5 + 
    1020600*ln2*sinf*z5 + 2638620*z2*z5 - 7155405*z7)/161280, 
 H[1, -1, -1, 1, 1, -1, -1, 1] -> 
  (192*ln2^7 + 224*ln2^6*sinf - 672*ln2^5*z2 + 7392*ln2^3*z2^2 + 
    4032*ln2^2*sinf*z2^2 + 4896*ln2*z2^3 - 2520*ln2^4*z3 - 
    3360*ln2^3*sinf*z3 + 5040*ln2^2*z2*z3 - 2520*z2^2*z3 + 1260*sinf*z3^2 - 
    44100*ln2^2*z5 - 7560*ln2*sinf*z5 + 3780*z2*z5 - 2835*z7)/161280, 
 H[1, -1, -1, 1, 0, 1, 1, 1] -> (-241920*li7half + 48*ln2^7 - 336960*ln2*s6 + 
    336960*s7a + 236160*s7b + 80640*li6half*sinf + 112*ln2^6*sinf - 
    80640*s6*sinf - 120960*li4half*ln2*z2 - 6048*ln2^5*z2 - 
    120960*li4half*sinf*z2 - 6720*ln2^4*sinf*z2 + 41328*ln2^3*z2^2 + 
    25200*ln2^2*sinf*z2^2 - 8208*ln2*z2^3 - 23472*sinf*z2^3 + 
    393120*li4half*z3 + 15120*ln2^4*z3 - 1680*ln2^3*sinf*z3 - 
    201600*ln2^2*z2*z3 - 105840*ln2*sinf*z2*z3 - 493272*z2^2*z3 + 
    421200*ln2*z3^2 + 141750*sinf*z3^2 + 207270*ln2^2*z5 + 
    219240*ln2*sinf*z5 - 800190*z2*z5 + 2853045*z7)/80640, 
 H[1, -1, -1, 1, 0, 1, 0, 1] -> (2580480*li7half + 645120*li5half*ln2^2 + 
    430080*li4half*ln2^3 + 12032*ln2^7 + 1152000*ln2*s6 - 1152000*s7a - 
    1555200*s7b + 1290240*li5half*ln2*sinf + 645120*li4half*ln2^2*sinf + 
    16128*ln2^6*sinf + 806400*s6*sinf + 645120*li5half*z2 + 
    1290240*li4half*ln2*z2 + 5376*ln2^5*z2 + 645120*li4half*sinf*z2 - 
    26880*ln2^4*sinf*z2 - 100800*ln2^3*z2^2 + 44352*ln2^2*sinf*z2^2 + 
    75168*ln2*z2^3 + 72960*sinf*z2^3 - 1935360*li4half*z3 + 
    107520*ln2^3*sinf*z3 + 1249920*ln2^2*z2*z3 + 463680*ln2*sinf*z2*z3 + 
    1920816*z2^2*z3 - 1440000*ln2*z3^2 - 811440*sinf*z3^2 - 909720*ln2^2*z5 - 
    2600640*ln2*sinf*z5 + 5452920*z2*z5 - 16694955*z7)/322560, 
 H[1, -1, -1, 1, 0, 1, -1, 1] -> (-967680*li7half + 2257920*li6half*ln2 + 
    2580480*li5half*ln2^2 + 430080*li4half*ln2^3 - 256*ln2^7 + 
    2027520*ln2*s6 - 172800*s7a + 311040*s7b + 9676800*li6half*sinf + 
    5160960*li5half*ln2*sinf + 645120*li4half*ln2^2*sinf - 2688*ln2^6*sinf + 
    5644800*s6*sinf - 2580480*li5half*z2 - 645120*li4half*ln2*z2 - 
    9408*ln2^5*z2 - 13440*ln2^4*sinf*z2 + 118272*ln2^3*z2^2 - 
    185472*ln2^2*sinf*z2^2 - 658656*ln2*z2^3 - 967680*sinf*z2^3 + 
    161280*li4half*z3 - 58800*ln2^4*z3 - 87360*ln2^3*sinf*z3 + 
    514080*ln2^2*z2*z3 + 483840*ln2*sinf*z2*z3 + 97056*z2^2*z3 - 
    1793520*ln2*z3^2 - 2262960*sinf*z3^2 - 4110120*ln2^2*z5 - 
    7282800*ln2*sinf*z5 + 2712600*z2*z5 - 87075*z7)/322560, 
 H[1, -1, -1, 1, 0, 0, 1, 1] -> (-4515840*li7half + 645120*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 4480*ln2^7 + 1463040*ln2*s6 - 1463040*s7a + 
    794880*s7b + 2580480*li6half*sinf + 1290240*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 6272*ln2^6*sinf + 967680*s6*sinf - 
    1935360*li5half*z2 - 645120*li4half*ln2*z2 - 29568*ln2^5*z2 + 
    322560*li4half*sinf*z2 - 13440*ln2^4*sinf*z2 - 69888*ln2^3*z2^2 - 
    177408*ln2^2*sinf*z2^2 - 702432*ln2*z2^3 - 453696*sinf*z2^3 - 
    161280*li4half*z3 + 23520*ln2^4*z3 + 40320*ln2^3*sinf*z3 + 
    241920*ln2^2*z2*z3 + 524160*ln2*sinf*z2*z3 + 51696*z2^2*z3 - 
    1828800*ln2*z3^2 - 521640*sinf*z3^2 - 2731680*ln2^2*z5 - 
    1088640*ln2*sinf*z5 + 180000*z2*z5 + 5608755*z7)/322560, 
 H[1, -1, -1, 1, 0, 0, 0, 1] -> (-6720*ln2*s6 + 6720*s7a - 6720*s7b - 
    6720*s6*sinf + 26880*li5half*z2 + 20160*li4half*ln2*z2 + 616*ln2^5*z2 + 
    6720*li4half*sinf*z2 + 280*ln2^4*sinf*z2 - 1176*ln2^3*z2^2 - 
    504*ln2^2*sinf*z2^2 - 5208*ln2*z2^3 - 5904*sinf*z2^3 - 8400*li4half*z3 - 
    350*ln2^4*z3 + 7140*ln2^2*z2*z3 + 2520*ln2*sinf*z2*z3 - 1008*z2^2*z3 + 
    8400*ln2*z3^2 + 6300*sinf*z3^2 + 22575*ln2^2*z5 + 19110*ln2*sinf*z5 - 
    28875*z2*z5 + 33600*z7)/6720, H[1, -1, -1, 1, 0, 0, -1, 1] -> 
  (1290240*li7half + 161280*li6half*ln2 - 161280*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 928*ln2^7 - 158400*ln2*s6 + 259200*s7a - 
    789120*s7b - 483840*li6half*sinf - 322560*li5half*ln2*sinf - 
    80640*li4half*ln2^2*sinf - 1344*ln2^6*sinf - 624960*s6*sinf + 
    80640*li4half*ln2*z2 + 5376*ln2^5*z2 + 80640*li4half*sinf*z2 + 
    6720*ln2^4*sinf*z2 - 336*ln2^3*z2^2 - 15120*ln2^2*sinf*z2^2 - 
    110016*ln2*z2^3 - 50160*sinf*z2^3 - 120960*li4half*z3 - 12600*ln2^4*z3 - 
    10080*ln2^3*sinf*z3 + 78120*ln2^2*z2*z3 + 65520*ln2*sinf*z2*z3 + 
    261144*z2^2*z3 + 467010*ln2*z3^2 + 225540*sinf*z3^2 + 1542240*ln2^2*z5 + 
    1053360*ln2*sinf*z5 + 2079270*z2*z5 - 4789215*z7)/80640, 
 H[1, -1, -1, 1, 0, -1, 1, 1] -> (1290240*li7half - 1612800*li5half*ln2^2 - 
    430080*li4half*ln2^3 - 4736*ln2^7 - 576000*ln2*s6 + 576000*s7a - 
    794880*s7b - 7741440*li6half*sinf - 4193280*li5half*ln2*sinf - 
    645120*li4half*ln2^2*sinf - 2688*ln2^6*sinf - 4193280*s6*sinf + 
    1612800*li5half*z2 + 645120*li4half*ln2*z2 + 52416*ln2^5*z2 + 
    53760*ln2^4*sinf*z2 - 188160*ln2^3*z2^2 + 209664*ln2^2*sinf*z2^2 + 
    256032*ln2*z2^3 + 862848*sinf*z2^3 - 161280*li4half*z3 - 72240*ln2^4*z3 - 
    87360*ln2^3*sinf*z3 + 171360*ln2^2*z2*z3 - 60480*ln2*sinf*z2*z3 + 
    187200*z2^2*z3 + 720000*ln2*z3^2 + 1638000*sinf*z3^2 + 2686320*ln2^2*z5 + 
    4591440*ln2*sinf*z5 + 1019520*z2*z5 - 5190435*z7)/322560, 
 H[1, -1, -1, 1, 0, -1, 0, 1] -> (322560*li7half + 80640*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1504*ln2^7 + 27360*ln2*s6 - 27360*s7a - 
    158400*s7b + 161280*li5half*ln2*sinf + 80640*li4half*ln2^2*sinf + 
    2016*ln2^6*sinf + 60480*s6*sinf + 262080*li5half*z2 + 
    161280*li4half*ln2*z2 - 840*ln2^5*z2 + 80640*li4half*sinf*z2 - 
    3360*ln2^4*sinf*z2 + 6384*ln2^3*z2^2 + 7560*ln2^2*sinf*z2^2 + 
    29736*ln2*z2^3 - 16896*sinf*z2^3 - 241920*li4half*z3 - 2520*ln2^4*z3 + 
    10080*ln2^3*sinf*z3 + 70560*ln2^2*z2*z3 + 12600*ln2*sinf*z2*z3 + 
    147222*z2^2*z3 - 34200*ln2*z3^2 - 31815*sinf*z3^2 + 45360*ln2^2*z5 - 
    163170*ln2*sinf*z5 + 155340*z2*z5 - 1116720*z7)/40320, 
 H[1, -1, -1, 1, 0, -1, -1, 1] -> 
  (-483840*li6half*ln2 - 161280*li5half*ln2^2 + 672*ln2^7 - 374400*ln2*s6 + 
    172800*s7a - 230400*s7b - 483840*li6half*sinf - 161280*li5half*ln2*sinf + 
    672*ln2^6*sinf - 403200*s6*sinf + 80640*li5half*z2 - 4032*ln2^5*z2 - 
    3360*ln2^4*sinf*z2 + 39648*ln2^3*z2^2 + 32256*ln2^2*sinf*z2^2 - 
    26496*ln2*z2^3 + 24576*sinf*z2^3 - 840*ln2^4*z3 - 1120*ln2^3*sinf*z3 + 
    1680*ln2^2*z2*z3 + 64896*z2^2*z3 + 291600*ln2*z3^2 + 152040*sinf*z3^2 + 
    776160*ln2^2*z5 + 458640*ln2*sinf*z5 + 460080*z2*z5 - 823275*z7)/53760, 
 H[1, -1, -1, 1, -1, 1, 1, 1] -> (-1935360*li7half - 483840*li5half*ln2^2 - 
    322560*li4half*ln2^3 - 9408*ln2^7 + 34560*ln2*s6 - 34560*s7a + 
    1900800*s7b - 967680*li5half*ln2*sinf - 483840*li4half*ln2^2*sinf - 
    12544*ln2^6*sinf + 483840*li5half*z2 + 483840*li4half*ln2*z2 + 
    49728*ln2^5*z2 + 40320*ln2^4*sinf*z2 - 280896*ln2^3*z2^2 - 
    193536*ln2^2*sinf*z2^2 - 127584*ln2*z2^3 - 155904*sinf*z2^3 - 
    120960*li4half*z3 + 6720*ln2^3*sinf*z3 - 463680*ln2^2*z2*z3 - 
    483840*ln2*sinf*z2*z3 - 1705680*z2^2*z3 - 43200*ln2*z3^2 + 
    481320*sinf*z3^2 - 929880*ln2^2*z5 + 1890000*ln2*sinf*z5 - 
    6589080*z2*z5 + 16744365*z7)/322560, H[1, -1, -1, 1, -1, 1, 0, 1] -> 
  (2741760*li7half - 241920*li5half*ln2^2 + 1472*ln2^7 - 368640*ln2*s6 + 
    368640*s7a - 1405440*s7b - 1290240*li6half*sinf - 
    483840*li5half*ln2*sinf + 2240*ln2^6*sinf - 604800*s6*sinf - 
    241920*li5half*z2 - 11424*ln2^5*z2 - 16800*ln2^4*sinf*z2 + 
    69216*ln2^3*z2^2 + 70560*ln2^2*sinf*z2^2 + 111744*ln2*z2^3 + 
    247392*sinf*z2^3 + 20160*ln2^4*z3 + 26880*ln2^3*sinf*z3 + 
    403200*ln2^2*z2*z3 + 221760*ln2*sinf*z2*z3 + 785088*z2^2*z3 + 
    460800*ln2*z3^2 - 22680*sinf*z3^2 + 1682100*ln2^2*z5 - 
    73080*ln2*sinf*z5 + 5165460*z2*z5 - 12413295*z7)/161280, 
 H[1, -1, -1, 1, -1, 1, -1, 1] -> (362880*li7half - 24*ln2^7 - 90720*ln2*s6 + 
    90720*s7a - 120960*s7b - 120960*li6half*sinf - 112*ln2^6*sinf + 
    30240*s6*sinf + 1344*ln2^5*z2 + 2520*ln2^4*sinf*z2 + 25032*ln2^3*z2^2 + 
    24192*ln2^2*sinf*z2^2 + 56040*ln2*z2^3 + 39168*sinf*z2^3 - 
    13860*ln2^4*z3 - 18480*ln2^3*sinf*z3 + 88200*ln2^2*z2*z3 + 
    60480*ln2*sinf*z2*z3 + 63252*z2^2*z3 - 7560*ln2*z3^2 - 27090*sinf*z3^2 + 
    57645*ln2^2*z5 - 294840*ln2*sinf*z5 + 509355*z2*z5 - 1270080*z7)/40320, 
 H[1, -1, -1, 1, -1, 0, 1, 1] -> (-2580480*li7half + 887040*li5half*ln2^2 + 
    376320*li4half*ln2^3 + 8800*ln2^7 + 892800*ln2*s6 - 892800*s7a + 
    276480*s7b + 2419200*li6half*sinf + 1774080*li5half*ln2*sinf + 
    564480*li4half*ln2^2*sinf + 12096*ln2^6*sinf + 1209600*s6*sinf - 
    1370880*li5half*z2 - 806400*li4half*ln2*z2 - 58464*ln2^5*z2 + 
    241920*li4half*sinf*z2 - 40320*ln2^4*sinf*z2 + 100800*ln2^3*z2^2 - 
    66528*ln2^2*sinf*z2^2 - 338400*ln2*z2^3 - 335520*sinf*z2^3 - 
    40320*li4half*z3 + 63840*ln2^4*z3 + 87360*ln2^3*sinf*z3 + 
    100800*ln2^2*z2*z3 + 443520*ln2*sinf*z2*z3 + 178560*z2^2*z3 - 
    1116000*ln2*z3^2 - 624960*sinf*z3^2 - 2197440*ln2^2*z5 - 
    2129400*ln2*sinf*z5 + 1145880*z2*z5 + 1432395*z7)/161280, 
 H[1, -1, -1, 1, -1, 0, 0, 1] -> (-4515840*li7half + 322560*li5half*ln2^2 - 
    1792*ln2^7 + 852480*ln2*s6 - 852480*s7a + 1486080*s7b + 
    1935360*li6half*sinf + 645120*li5half*ln2*sinf - 2688*ln2^6*sinf + 
    564480*s6*sinf + 1290240*li5half*z2 + 1451520*li4half*ln2*z2 + 
    57792*ln2^5*z2 + 483840*li4half*sinf*z2 + 33600*ln2^4*sinf*z2 - 
    387072*ln2^3*z2^2 - 241920*ln2^2*sinf*z2^2 - 650592*ln2*z2^3 - 
    628416*sinf*z2^3 - 604800*li4half*z3 - 55440*ln2^4*z3 - 
    40320*ln2^3*sinf*z3 + 534240*ln2^2*z2*z3 + 161280*ln2*sinf*z2*z3 - 
    702432*z2^2*z3 - 1065600*ln2*z3^2 + 115920*sinf*z3^2 - 1864800*ln2^2*z5 + 
    801360*ln2*sinf*z5 - 7328880*z2*z5 + 16158645*z7)/322560, 
 H[1, -1, -1, 1, -1, 0, -1, 1] -> (-1451520*li7half + 483840*li6half*ln2 + 
    403200*li5half*ln2^2 + 53760*li4half*ln2^3 - 160*ln2^7 + 915840*ln2*s6 - 
    432000*s7a - 794880*s7b + 1935360*li6half*sinf + 
    806400*li5half*ln2*sinf + 80640*li4half*ln2^2*sinf - 672*ln2^6*sinf + 
    120960*s6*sinf - 645120*li5half*z2 - 80640*li4half*ln2*z2 + 
    3360*ln2^5*z2 + 241920*li4half*sinf*z2 + 13440*ln2^4*sinf*z2 - 
    90048*ln2^3*z2^2 - 157248*ln2^2*sinf*z2^2 - 758016*ln2*z2^3 - 
    493056*sinf*z2^3 - 282240*li4half*z3 - 6720*ln2^4*z3 + 
    6720*ln2^3*sinf*z3 + 171360*ln2^2*z2*z3 + 221760*ln2*sinf*z2*z3 + 
    339408*z2^2*z3 - 139320*ln2*z3^2 - 103320*sinf*z3^2 + 791280*ln2^2*z5 + 
    879480*ln2*sinf*z5 + 2371500*z2*z5 - 2135565*z7)/161280, 
 H[1, -1, -1, 1, -1, -1, 1, 1] -> (725760*li7half - 60480*li5half*ln2^2 + 
    408*ln2^7 - 129600*ln2*s6 + 129600*s7a - 172800*s7b - 
    362880*li6half*sinf - 120960*li5half*ln2*sinf + 560*ln2^6*sinf - 
    151200*s6*sinf + 60480*li5half*z2 - 2688*ln2^5*z2 - 2520*ln2^4*sinf*z2 + 
    30072*ln2^3*z2^2 + 24192*ln2^2*sinf*z2^2 + 95328*ln2*z2^3 + 
    50688*sinf*z2^3 - 630*ln2^4*z3 - 840*ln2^3*sinf*z3 + 1260*ln2^2*z2*z3 + 
    49050*z2^2*z3 + 162000*ln2*z3^2 + 57015*sinf*z3^2 + 227745*ln2^2*z5 + 
    51030*ln2*sinf*z5 + 582255*z2*z5 - 1745550*z7)/40320, 
 H[1, -1, -1, 1, -1, -1, 0, 1] -> (-2903040*li7half + 322560*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 128*ln2^7 + 967680*ln2*s6 - 967680*s7a + 
    806400*s7b + 1451520*li6half*sinf + 645120*li5half*ln2*sinf + 
    80640*li4half*ln2^2*sinf + 604800*s6*sinf + 645120*li5half*z2 + 
    645120*li4half*ln2*z2 + 27552*ln2^5*z2 + 241920*li4half*sinf*z2 + 
    16800*ln2^4*sinf*z2 - 196896*ln2^3*z2^2 - 131040*ln2^2*sinf*z2^2 - 
    268704*ln2*z2^3 - 299520*sinf*z2^3 - 766080*li4half*z3 - 34440*ln2^4*z3 - 
    3360*ln2^3*sinf*z3 + 176400*ln2^2*z2*z3 - 10080*ln2*sinf*z2*z3 + 
    51912*z2^2*z3 - 1209600*ln2*z3^2 - 224280*sinf*z3^2 - 1682100*ln2^2*z5 + 
    73080*ln2*sinf*z5 - 3791340*z2*z5 + 7639695*z7)/161280, 
 H[1, -1, -1, 1, -1, -1, -1, 1] -> (-6128640*li7half + 645120*li5half*ln2^2 + 
    107520*li4half*ln2^3 - 64*ln2^7 + 599040*ln2*s6 - 599040*s7a + 
    610560*s7b + 3225600*li6half*sinf + 1290240*li5half*ln2*sinf + 
    161280*li4half*ln2^2*sinf - 645120*li5half*z2 - 161280*li4half*ln2*z2 + 
    1344*ln2^5*z2 - 213696*ln2^3*z2^2 - 193536*ln2^2*sinf*z2^2 - 
    1229472*ln2*z2^3 - 737280*sinf*z2^3 + 40320*li4half*z3 + 42000*ln2^4*z3 + 
    53760*ln2^3*sinf*z3 - 90720*ln2^2*z2*z3 - 198720*z2^2*z3 - 
    587520*ln2*z3^2 + 521640*ln2^2*z5 + 1935360*ln2*sinf*z5 - 2799000*z2*z5 + 
    11612385*z7)/322560, H[1, -1, -1, 0, 1, 1, 1, 1] -> 
  (967680*li7half - 161280*li5half*ln2^2 + 1152*ln2^7 - 264960*ln2*s6 + 
    264960*s7a - 702720*s7b - 645120*li6half*sinf - 322560*li5half*ln2*sinf + 
    1792*ln2^6*sinf - 161280*s6*sinf + 161280*li5half*z2 + 
    161280*li4half*ln2*z2 - 4032*ln2^5*z2 + 161280*li4half*sinf*z2 - 
    6720*ln2^4*sinf*z2 + 16128*ln2^3*z2^2 + 24192*ln2^2*sinf*z2^2 + 
    50976*ln2*z2^3 + 72576*sinf*z2^3 - 524160*li4half*z3 + 13440*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 + 60480*ln2^2*z2*z3 + 450000*z2^2*z3 + 
    331200*ln2*z3^2 + 42840*sinf*z3^2 + 957600*ln2^2*z5 + 40320*ln2*sinf*z5 + 
    2074320*z2*z5 - 5195025*z7)/322560, H[1, -1, -1, 0, 1, 1, 0, 1] -> 
  (76800*ln2*s6 - 76800*s7a + 111360*s7b + 40320*s6*sinf - 53760*li5half*z2 + 
    448*ln2^5*z2 - 13440*ln2^3*z2^2 - 13440*ln2^2*sinf*z2^2 + 
    13728*ln2*z2^3 + 5856*sinf*z2^3 - 6720*ln2^2*z2*z3 - 
    3360*ln2*sinf*z2*z3 - 35712*z2^2*z3 - 96000*ln2*z3^2 - 14700*sinf*z3^2 - 
    199080*ln2^2*z5 - 33600*ln2*sinf*z5 - 274200*z2*z5 + 558225*z7)/53760, 
 H[1, -1, -1, 0, 1, 1, -1, 1] -> (-11612160*li7half - 645120*li6half*ln2 - 
    483840*li5half*ln2^2 - 215040*li4half*ln2^3 - 3520*ln2^7 + 
    2741760*ln2*s6 - 2903040*s7a + 3790080*s7b - 967680*li5half*ln2*sinf - 
    322560*li4half*ln2^2*sinf - 5376*ln2^6*sinf + 241920*s6*sinf + 
    483840*li5half*z2 + 322560*li4half*ln2*z2 + 68544*ln2^5*z2 + 
    120960*ln2^4*sinf*z2 - 842688*ln2^3*z2^2 - 278208*ln2^2*sinf*z2^2 - 
    503712*ln2*z2^3 + 47232*sinf*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 
    50400*ln2^2*z2*z3 - 1062432*z2^2*z3 - 3550680*ln2*z3^2 - 
    90720*sinf*z3^2 - 6191640*ln2^2*z5 + 584640*ln2*sinf*z5 - 
    11634840*z2*z5 + 29067885*z7)/322560, H[1, -1, -1, 0, 1, 0, 1, 1] -> 
  (-3870720*li7half + 645120*li5half*ln2^2 - 4608*ln2^7 - 357120*ln2*s6 + 
    357120*s7a + 1324800*s7b + 2580480*li6half*sinf + 
    1290240*li5half*ln2*sinf - 7168*ln2^6*sinf + 403200*s6*sinf - 
    1612800*li5half*z2 - 645120*li4half*ln2*z2 + 24192*ln2^5*z2 - 
    645120*li4half*sinf*z2 + 26880*ln2^4*sinf*z2 + 59136*ln2^3*z2^2 + 
    209664*ln2^2*sinf*z2^2 - 512928*ln2*z2^3 - 284544*sinf*z2^3 + 
    2096640*li4half*z3 - 53760*ln2^4*z3 - 188160*ln2^3*sinf*z3 - 
    342720*ln2^2*z2*z3 - 201600*ln2*sinf*z2*z3 - 1376784*z2^2*z3 + 
    446400*ln2*z3^2 - 17640*sinf*z3^2 - 1103760*ln2^2*z5 - 
    332640*ln2*sinf*z5 - 3170880*z2*z5 + 13167405*z7)/322560, 
 H[1, -1, -1, 0, 1, 0, 0, 1] -> (-6720*ln2*s6 + 6720*s7a + 6720*s7b + 
    33600*s6*sinf + 53760*li5half*z2 - 448*ln2^5*z2 + 9856*ln2^3*z2^2 + 
    8064*ln2^2*sinf*z2^2 + 17472*ln2*z2^3 + 8264*sinf*z2^3 - 
    20160*ln2^2*z2*z3 - 10080*ln2*sinf*z2*z3 + 3696*z2^2*z3 + 8400*ln2*z3^2 - 
    14490*sinf*z3^2 - 28140*ln2^2*z5 - 56280*ln2*sinf*z5 - 34860*z2*z5 - 
    38745*z7)/13440, H[1, -1, -1, 0, 1, 0, -1, 1] -> 
  (215040*li7half - 107520*li6half*ln2 - 53760*li5half*ln2^2 + 256*ln2^7 - 
    124800*ln2*s6 + 37440*s7a + 3840*s7b - 322560*li6half*sinf - 
    107520*li5half*ln2*sinf + 448*ln2^6*sinf - 120960*s6*sinf + 
    13440*li5half*z2 - 1456*ln2^5*z2 - 2240*ln2^4*sinf*z2 + 
    17024*ln2^3*z2^2 + 23856*ln2^2*sinf*z2^2 + 56784*ln2*z2^3 + 
    47856*sinf*z2^3 - 4200*ln2^2*z2*z3 - 8400*ln2*sinf*z2*z3 - 180*z2^2*z3 + 
    51630*ln2*z3^2 + 47460*sinf*z3^2 + 46410*ln2^2*z5 + 27720*ln2*sinf*z5 + 
    270*z2*z5 - 211005*z7)/26880, H[1, -1, -1, 0, 1, -1, 1, 1] -> 
  (9354240*li7half + 53760*li5half*ln2^2 - 2304*ln2^7 - 2085120*ln2*s6 + 
    2085120*s7a - 2753280*s7b - 322560*li6half*sinf + 
    537600*li5half*ln2*sinf - 4928*ln2^6*sinf - 322560*s6*sinf - 
    53760*li5half*z2 - 9856*ln2^5*z2 - 29120*ln2^4*sinf*z2 + 
    424704*ln2^3*z2^2 + 194880*ln2^2*sinf*z2^2 + 588768*ln2*z2^3 - 
    2112*sinf*z2^3 - 35280*ln2^4*z3 - 47040*ln2^3*sinf*z3 + 
    50400*ln2^2*z2*z3 + 752928*z2^2*z3 + 2606400*ln2*z3^2 + 
    138600*sinf*z3^2 + 4888800*ln2^2*z5 - 169680*ln2*sinf*z5 + 
    8037360*z2*z5 - 21674445*z7)/107520, H[1, -1, -1, 0, 1, -1, 0, 1] -> 
  (-1720320*li7half - 35840*li4half*ln2^3 - 1152*ln2^7 + 341760*ln2*s6 - 
    341760*s7a + 612480*s7b + 645120*li6half*sinf - 
    53760*li4half*ln2^2*sinf - 1344*ln2^6*sinf + 376320*s6*sinf - 
    134400*li5half*z2 - 107520*li4half*ln2*z2 - 1568*ln2^5*z2 - 
    53760*li4half*sinf*z2 - 2240*ln2^4*sinf*z2 - 47824*ln2^3*z2^2 - 
    68880*ln2^2*sinf*z2^2 - 86640*ln2*z2^3 - 46800*sinf*z2^3 + 
    161280*li4half*z3 + 6720*ln2^4*z3 - 84000*ln2^2*z2*z3 - 
    21840*ln2*sinf*z2*z3 - 236484*z2^2*z3 - 427200*ln2*z3^2 - 
    138390*sinf*z3^2 - 1000650*ln2^2*z5 - 152460*ln2*sinf*z5 - 
    1597980*z2*z5 + 4528845*z7)/26880, H[1, -1, -1, 0, 1, -1, -1, 1] -> 
  (-7741440*li7half + 967680*li6half*ln2 + 241920*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 3616*ln2^7 + 2436480*ln2*s6 - 2315520*s7a + 
    3087360*s7b + 1451520*li6half*sinf - 161280*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf - 3360*ln2^6*sinf + 1209600*s6*sinf + 
    80640*li5half*z2 + 161280*li4half*ln2*z2 + 40992*ln2^5*z2 + 
    57120*ln2^4*sinf*z2 - 486528*ln2^3*z2^2 - 245952*ln2^2*sinf*z2^2 - 
    307584*ln2*z2^3 - 73728*sinf*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 + 
    25200*ln2^2*z2*z3 - 869976*z2^2*z3 - 2966220*ln2*z3^2 - 
    453600*sinf*z3^2 - 6044220*ln2^2*z5 - 761040*ln2*sinf*z5 - 
    8857440*z2*z5 + 21412395*z7)/161280, H[1, -1, -1, 0, 0, 1, 1, 1] -> 
  (80640*li7half - 20160*li5half*ln2^2 - 6720*li4half*ln2^3 - 128*ln2^7 + 
    31680*ln2*s6 - 31680*s7a - 51840*s7b - 60480*li6half*sinf - 
    40320*li5half*ln2*sinf - 10080*li4half*ln2^2*sinf - 168*ln2^6*sinf - 
    15120*s6*sinf + 20160*li5half*z2 + 30240*li4half*ln2*z2 + 1428*ln2^5*z2 + 
    20160*li4half*sinf*z2 + 1260*ln2^4*sinf*z2 - 5544*ln2^3*z2^2 - 
    4536*ln2^2*sinf*z2^2 - 3060*ln2*z2^3 + 5472*sinf*z2^3 - 
    88200*li4half*z3 - 3675*ln2^4*z3 + 30870*ln2^2*z2*z3 + 
    8820*ln2*sinf*z2*z3 + 68643*z2^2*z3 - 39600*ln2*z3^2 - 2520*sinf*z3^2 + 
    31815*ln2^2*z5 + 24570*ln2*sinf*z5 + 140625*z2*z5 - 462555*z7)/10080, 
 H[1, -1, -1, 0, 0, 1, 0, 1] -> (-42240*ln2*s6 + 42240*s7a + 42240*s7b - 
    33600*s6*sinf - 53760*li5half*z2 - 40320*li4half*ln2*z2 - 1232*ln2^5*z2 - 
    13440*li4half*sinf*z2 - 560*ln2^4*sinf*z2 + 224*ln2^3*z2^2 - 
    4704*ln2^2*sinf*z2^2 + 6864*ln2*z2^3 - 5728*sinf*z2^3 + 
    97440*li4half*z3 + 4060*ln2^4*z3 - 37800*ln2^2*z2*z3 - 
    6720*ln2*sinf*z2*z3 - 66660*z2^2*z3 + 52800*ln2*z3^2 + 22050*sinf*z3^2 + 
    34860*ln2^2*z5 + 69720*ln2*sinf*z5 - 126180*z2*z5 + 411675*z7)/13440, 
 H[1, -1, -1, 0, 0, 1, -1, 1] -> (-4515840*li7half - 1290240*li6half*ln2 + 
    645120*li5half*ln2^2 + 215040*li4half*ln2^3 + 2688*ln2^7 - 
    472320*ln2*s6 - 737280*s7a + 1440000*s7b + 645120*li6half*sinf + 
    1290240*li5half*ln2*sinf + 322560*li4half*ln2^2*sinf + 3584*ln2^6*sinf - 
    403200*s6*sinf - 645120*li5half*z2 - 1290240*li4half*ln2*z2 - 
    40320*ln2^5*z2 + 13440*ln2^4*sinf*z2 + 112896*ln2^3*z2^2 + 
    76608*ln2^2*sinf*z2^2 - 147744*ln2*z2^3 - 258048*sinf*z2^3 + 
    725760*li4half*z3 + 100800*ln2^4*z3 + 94080*ln2^3*sinf*z3 - 
    604800*ln2^2*z2*z3 - 221760*ln2*sinf*z2*z3 - 816192*z2^2*z3 + 
    96480*ln2*z3^2 + 201600*sinf*z3^2 - 1721160*ln2^2*z5 + 
    776160*ln2*sinf*z5 - 4686120*z2*z5 + 13713705*z7)/322560, 
 H[1, -1, -1, 0, 0, 0, 1, 1] -> (-33600*ln2*s6 + 33600*s7a + 
    53760*li5half*z2 - 448*ln2^5*z2 - 26880*li4half*sinf*z2 - 
    1120*ln2^4*sinf*z2 + 6272*ln2^3*z2^2 + 9408*ln2^2*sinf*z2^2 + 
    13440*ln2*z2^3 + 9200*sinf*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 
    13440*ln2^2*z2*z3 - 13440*ln2*sinf*z2*z3 - 15624*z2^2*z3 + 
    42000*ln2*z3^2 + 5040*sinf*z3^2 + 20160*ln2^2*z5 - 24780*ln2*sinf*z5 - 
    50820*z2*z5 + 42315*z7)/13440, H[1, -1, -1, 0, 0, 0, 0, 1] -> 
  (26880*ln2*s6 - 26880*s7a + 13440*s6*sinf + 1344*ln2*z2^3 + 
    4416*sinf*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    16800*z2^2*z3 - 33600*ln2*z3^2 - 10080*sinf*z3^2 - 32760*ln2^2*z5 - 
    13440*ln2*sinf*z5 + 18060*z2*z5 - 79905*z7)/13440, 
 H[1, -1, -1, 0, 0, 0, -1, 1] -> (-5760*ln2*s6 + 72960*s7a - 34560*s7b + 
    67200*s6*sinf + 53760*li5half*z2 - 448*ln2^5*z2 - 26880*li4half*sinf*z2 - 
    1120*ln2^4*sinf*z2 + 7616*ln2^3*z2^2 + 11424*ln2^2*sinf*z2^2 + 
    3744*ln2*z2^3 + 23840*sinf*z2^3 - 6720*li4half*z3 - 280*ln2^4*z3 - 
    5040*ln2^2*z2*z3 - 13440*ln2*sinf*z2*z3 + 12456*z2^2*z3 + 
    33660*ln2*z3^2 - 20580*sinf*z3^2 + 24780*ln2^2*z5 - 158760*ln2*sinf*z5 + 
    120000*z2*z5 - 237285*z7)/26880, H[1, -1, -1, 0, 0, -1, 1, 1] -> 
  (-1935360*li7half + 215040*li4half*ln2^3 + 9344*ln2^7 + 587520*ln2*s6 - 
    587520*s7a + 864000*s7b + 2580480*li6half*sinf + 
    645120*li5half*ln2*sinf + 322560*li4half*ln2^2*sinf + 11648*ln2^6*sinf + 
    1451520*s6*sinf + 322560*li4half*ln2*z2 - 48384*ln2^5*z2 - 
    322560*li4half*sinf*z2 - 94080*ln2^4*sinf*z2 + 2688*ln2^3*z2^2 - 
    104832*ln2^2*sinf*z2^2 - 33696*ln2*z2^3 - 142272*sinf*z2^3 + 
    80640*li4half*z3 + 73920*ln2^4*z3 + 94080*ln2^3*sinf*z3 - 
    161280*ln2^2*z2*z3 - 60480*ln2*sinf*z2*z3 - 222192*z2^2*z3 - 
    734400*ln2*z3^2 - 546840*sinf*z3^2 - 1799280*ln2^2*z5 - 
    1567440*ln2*sinf*z5 - 2190240*z2*z5 + 5134545*z7)/322560, 
 H[1, -1, -1, 0, 0, -1, 0, 1] -> (40320*ln2*s6 - 40320*s7a + 13440*s7b - 
    40320*s6*sinf + 26880*li5half*z2 + 80640*li4half*ln2*z2 + 3136*ln2^5*z2 + 
    26880*li4half*sinf*z2 + 1120*ln2^4*sinf*z2 - 27328*ln2^3*z2^2 - 
    20832*ln2^2*sinf*z2^2 - 2688*ln2*z2^3 - 18976*sinf*z2^3 - 
    6720*li4half*z3 - 280*ln2^4*z3 + 28560*ln2^2*z2*z3 + 
    13440*ln2*sinf*z2*z3 - 2100*z2^2*z3 - 50400*ln2*z3^2 + 10920*sinf*z3^2 + 
    8400*ln2^2*z5 + 120960*ln2*sinf*z5 - 121590*z2*z5 + 129465*z7)/26880, 
 H[1, -1, -1, 0, 0, -1, -1, 1] -> (645120*li7half + 322560*li6half*ln2 - 
    26880*li4half*ln2^3 - 800*ln2^7 + 57600*ln2*s6 + 164160*s7a - 
    239040*s7b - 80640*li5half*ln2*sinf - 40320*li4half*ln2^2*sinf - 
    1008*ln2^6*sinf + 40320*li5half*z2 + 40320*li4half*ln2*z2 + 
    4032*ln2^5*z2 + 3360*ln2^4*sinf*z2 - 16800*ln2^3*z2^2 - 
    15120*ln2^2*sinf*z2^2 - 8928*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 
    5040*ln2^2*z2*z3 + 75906*z2^2*z3 + 126450*ln2*z3^2 + 315*sinf*z3^2 + 
    381150*ln2^2*z5 + 78750*ln2*sinf*z5 + 675405*z2*z5 - 1777590*z7)/40320, 
 H[1, -1, -1, 0, -1, 1, 1, 1] -> (-16128000*li7half - 645120*li5half*ln2^2 - 
    268800*li4half*ln2^3 - 2624*ln2^7 + 4504320*ln2*s6 - 4504320*s7a + 
    2592000*s7b + 967680*li6half*sinf - 1290240*li5half*ln2*sinf - 
    161280*li4half*ln2^2*sinf + 5376*ln2^6*sinf + 725760*s6*sinf + 
    645120*li5half*z2 + 1128960*li4half*ln2*z2 + 68544*ln2^5*z2 + 
    483840*li4half*sinf*z2 + 53760*ln2^4*sinf*z2 - 727104*ln2^3*z2^2 - 
    447552*ln2^2*sinf*z2^2 - 1630368*ln2*z2^3 - 99648*sinf*z2^3 - 
    2459520*li4half*z3 - 102480*ln2^4*z3 + 1068480*ln2^2*z2*z3 + 
    423360*ln2*sinf*z2*z3 + 1258704*z2^2*z3 - 5630400*ln2*z3^2 - 
    695520*sinf*z3^2 - 6660360*ln2^2*z5 + 428400*ln2*sinf*z5 - 
    8049960*z2*z5 + 21674655*z7)/322560, H[1, -1, -1, 0, -1, 1, 0, 1] -> 
  (3440640*li7half + 71680*li4half*ln2^3 + 2304*ln2^7 - 875520*ln2*s6 + 
    875520*s7a - 871680*s7b - 1290240*li6half*sinf + 
    107520*li4half*ln2^2*sinf + 2688*ln2^6*sinf - 672000*s6*sinf - 
    107520*li4half*ln2*z2 - 8064*ln2^5*z2 + 26880*li4half*sinf*z2 + 
    1120*ln2^4*sinf*z2 + 144928*ln2^3*z2^2 + 144480*ln2^2*sinf*z2^2 + 
    263616*ln2*z2^3 + 116448*sinf*z2^3 + 100800*li4half*z3 + 4200*ln2^4*z3 - 
    112560*ln2^2*z2*z3 - 43680*ln2*sinf*z2*z3 + 101760*z2^2*z3 + 
    1094400*ln2*z3^2 + 319200*sinf*z3^2 + 1800540*ln2^2*z5 + 
    215880*ln2*sinf*z5 + 2361060*z2*z5 - 6539325*z7)/53760, 
 H[1, -1, -1, 0, -1, 1, -1, 1] -> (9354240*li7half + 645120*li6half*ln2 + 
    430080*li5half*ln2^2 + 161280*li4half*ln2^3 + 2176*ln2^7 - 
    1704960*ln2*s6 + 1946880*s7a - 2515200*s7b + 322560*li6half*sinf + 
    860160*li5half*ln2*sinf + 161280*li4half*ln2^2*sinf - 80640*s6*sinf - 
    430080*li5half*z2 - 322560*li4half*ln2*z2 - 42560*ln2^5*z2 - 
    56000*ln2^4*sinf*z2 + 430080*ln2^3*z2^2 + 129024*ln2^2*sinf*z2^2 + 
    511392*ln2*z2^3 - 104448*sinf*z2^3 + 120960*li4half*z3 + 40320*ln2^4*z3 + 
    47040*ln2^3*sinf*z3 - 262080*ln2^2*z2*z3 - 141120*ln2*sinf*z2*z3 + 
    609552*z2^2*z3 + 2642760*ln2*z3^2 + 65520*sinf*z3^2 + 4303320*ln2^2*z5 - 
    38640*ln2*sinf*z5 + 7547160*z2*z5 - 20163435*z7)/107520, 
 H[1, -1, -1, 0, -1, 0, 1, 1] -> (-967680*li7half + 161280*li5half*ln2^2 - 
    1152*ln2^7 - 452160*ln2*s6 + 452160*s7a + 633600*s7b + 
    645120*li6half*sinf + 322560*li5half*ln2*sinf - 1792*ln2^6*sinf + 
    100800*s6*sinf - 483840*li5half*z2 - 403200*li4half*ln2*z2 - 
    3360*ln2^5*z2 - 403200*li4half*sinf*z2 - 3360*ln2^4*sinf*z2 + 
    62496*ln2^3*z2^2 + 103824*ln2^2*sinf*z2^2 - 33984*ln2*z2^3 + 
    3024*sinf*z2^3 + 1159200*li4half*z3 + 13020*ln2^4*z3 - 
    47040*ln2^3*sinf*z3 - 335160*ln2^2*z2*z3 - 231840*ln2*sinf*z2*z3 - 
    744120*z2^2*z3 + 565200*ln2*z3^2 + 52290*sinf*z3^2 - 231840*ln2^2*z5 - 
    112140*ln2*sinf*z5 - 1722600*z2*z5 + 5679945*z7)/80640, 
 H[1, -1, -1, 0, -1, 0, 0, 1] -> (76800*ln2*s6 - 76800*s7a - 23040*s7b + 
    94080*s6*sinf + 107520*li5half*z2 - 896*ln2^5*z2 + 18368*ln2^3*z2^2 + 
    14112*ln2^2*sinf*z2^2 + 32544*ln2*z2^3 + 29120*sinf*z2^3 - 
    141120*li4half*z3 - 5880*ln2^4*z3 - 18480*ln2^2*z2*z3 - 
    26880*ln2*sinf*z2*z3 + 102888*z2^2*z3 - 96000*ln2*z3^2 - 
    60900*sinf*z3^2 - 126000*ln2^2*z5 - 147840*ln2*sinf*z5 + 109260*z2*z5 - 
    573255*z7)/26880, H[1, -1, -1, 0, -1, 0, -1, 1] -> 
  (860160*li7half - 430080*li6half*ln2 - 215040*li5half*ln2^2 + 1024*ln2^7 - 
    637440*ln2*s6 + 691200*s7a + 126720*s7b - 1290240*li6half*sinf - 
    430080*li5half*ln2*sinf + 1792*ln2^6*sinf - 80640*s6*sinf - 
    161280*li4half*ln2*z2 - 12096*ln2^5*z2 - 161280*li4half*sinf*z2 - 
    15680*ln2^4*sinf*z2 + 98560*ln2^3*z2^2 + 127680*ln2^2*sinf*z2^2 + 
    270816*ln2*z2^3 + 328704*sinf*z2^3 + 282240*li4half*z3 + 11760*ln2^4*z3 - 
    147840*ln2^2*z2*z3 - 154560*ln2*sinf*z2*z3 - 140592*z2^2*z3 + 
    414600*ln2*z3^2 + 68880*sinf*z3^2 + 204960*ln2^2*z5 - 
    683760*ln2*sinf*z5 + 46080*z2*z5 - 266475*z7)/107520, 
 H[1, -1, -1, 0, -1, -1, 1, 1] -> (-6773760*li7half + 645120*li5half*ln2^2 + 
    349440*li4half*ln2^3 + 10528*ln2^7 + 207360*ln2*s6 - 207360*s7a + 
    1324800*s7b + 322560*li5half*ln2*sinf + 403200*li4half*ln2^2*sinf + 
    14112*ln2^6*sinf - 604800*s6*sinf - 645120*li5half*z2 - 
    887040*li4half*ln2*z2 - 53088*ln2^5*z2 - 483840*li4half*sinf*z2 - 
    33600*ln2^4*sinf*z2 + 47040*ln2^3*z2^2 + 179424*ln2^2*sinf*z2^2 - 
    622368*ln2*z2^3 + 64512*sinf*z2^3 + 1612800*li4half*z3 + 67200*ln2^4*z3 - 
    388080*ln2^2*z2*z3 - 979632*z2^2*z3 - 259200*ln2*z3^2 + 
    226800*sinf*z3^2 - 1630440*ln2^2*z5 - 57960*ln2*sinf*z5 - 3793320*z2*z5 + 
    14388345*z7)/161280, H[1, -1, -1, 0, -1, -1, 0, 1] -> 
  (203520*ln2*s6 - 203520*s7a + 92160*s7b + 201600*s6*sinf + 
    483840*li5half*z2 + 322560*li4half*ln2*z2 + 9408*ln2^5*z2 + 
    80640*li4half*sinf*z2 + 3360*ln2^4*sinf*z2 - 42560*ln2^3*z2^2 - 
    23520*ln2^2*sinf*z2^2 + 97632*ln2*z2^3 + 10752*sinf*z2^3 - 
    282240*li4half*z3 - 11760*ln2^4*z3 + 63840*ln2^2*z2*z3 - 
    3360*ln2*sinf*z2*z3 + 78168*z2^2*z3 - 254400*ln2*z3^2 - 75180*sinf*z3^2 - 
    407400*ln2^2*z5 - 241920*ln2*sinf*z5 - 520620*z2*z5 - 76515*z7)/53760, 
 H[1, -1, -1, 0, -1, -1, -1, 1] -> (-322560*li7half - 3225600*li6half*ln2 - 
    1935360*li5half*ln2^2 - 483840*li4half*ln2^3 - 8448*ln2^7 - 
    437760*ln2*s6 + 437760*s7a - 449280*s7b - 3225600*li6half*sinf - 
    1935360*li5half*ln2*sinf - 483840*li4half*ln2^2*sinf - 8512*ln2^6*sinf + 
    967680*li5half*z2 + 483840*li4half*ln2*z2 + 37632*ln2^5*z2 + 
    26880*ln2^4*sinf*z2 + 2688*ln2^3*z2^2 + 64512*ln2^2*sinf*z2^2 + 
    575712*ln2*z2^3 + 737280*sinf*z2^3 - 120960*li4half*z3 - 40320*ln2^4*z3 - 
    47040*ln2^3*sinf*z3 + 100800*ln2^2*z2*z3 + 182592*z2^2*z3 + 
    388440*ln2*z3^2 + 448560*ln2^2*z5 - 1290240*ln2*sinf*z5 + 1992600*z2*z5 - 
    4436055*z7)/322560, H[1, -1, -1, -1, 1, 1, 1, 1] -> 
  (967680*li7half + 161280*li5half*ln2^2 + 107520*li4half*ln2^3 + 
    2560*ln2^7 - 57600*ln2*s6 + 57600*s7a - 910080*s7b + 
    322560*li5half*ln2*sinf + 161280*li4half*ln2^2*sinf + 3584*ln2^6*sinf - 
    161280*li5half*z2 - 161280*li4half*ln2*z2 - 13440*ln2^5*z2 - 
    13440*ln2^4*sinf*z2 + 112896*ln2^3*z2^2 + 64512*ln2^2*sinf*z2^2 + 
    49248*ln2*z2^3 + 52992*sinf*z2^3 + 40320*li4half*z3 - 11760*ln2^4*z3 + 
    231840*ln2^2*z2*z3 + 161280*ln2*sinf*z2*z3 + 770688*z2^2*z3 + 
    72000*ln2*z3^2 - 161280*sinf*z3^2 + 619920*ln2^2*z5 - 
    635040*ln2*sinf*z5 + 3021120*z2*z5 - 7752105*z7)/322560, 
 H[1, -1, -1, -1, 1, 1, 0, 1] -> (-3870720*li7half + 806400*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 3008*ln2^7 + 679680*ln2*s6 - 679680*s7a + 
    1739520*s7b + 2903040*li6half*sinf + 1612800*li5half*ln2*sinf + 
    322560*li4half*ln2^2*sinf + 4032*ln2^6*sinf + 1451520*s6*sinf - 
    483840*li5half*z2 - 322560*li4half*ln2*z2 - 21504*ln2^5*z2 - 
    13440*ln2^4*sinf*z2 + 13440*ln2^3*z2^2 - 64512*ln2^2*sinf*z2^2 - 
    308448*ln2*z2^3 - 408960*sinf*z2^3 + 80640*li4half*z3 + 8400*ln2^4*z3 + 
    6720*ln2^3*sinf*z3 - 393120*ln2^2*z2*z3 - 141120*ln2*sinf*z2*z3 - 
    908352*z2^2*z3 - 809280*ln2*z3^2 - 385560*sinf*z3^2 - 2963520*ln2^2*z5 - 
    1239840*ln2*sinf*z5 - 5200560*z2*z5 + 14661585*z7)/322560, 
 H[1, -1, -1, -1, 1, 1, -1, 1] -> (-1290240*li7half + 640*ln2^7 + 
    368640*ln2*s6 - 368640*s7a + 518400*s7b + 322560*li6half*sinf + 
    896*ln2^6*sinf - 80640*s6*sinf - 6720*ln2^5*z2 - 6720*ln2^4*sinf*z2 - 
    86016*ln2^3*z2^2 - 64512*ln2^2*sinf*z2^2 - 169248*ln2*z2^3 - 
    104448*sinf*z2^3 + 48720*ln2^4*z3 + 47040*ln2^3*sinf*z3 - 
    312480*ln2^2*z2*z3 - 161280*ln2*sinf*z2*z3 - 260928*z2^2*z3 - 
    17280*ln2*z3^2 + 70560*sinf*z3^2 - 463680*ln2^2*z5 + 791280*ln2*sinf*z5 - 
    1946160*z2*z5 + 4771395*z7)/322560, H[1, -1, -1, -1, 1, 0, 1, 1] -> 
  (3548160*li7half - 967680*li5half*ln2^2 - 537600*li4half*ln2^3 - 
    15040*ln2^7 - 1025280*ln2*s6 + 1025280*s7a - 587520*s7b - 
    2257920*li6half*sinf - 1935360*li5half*ln2*sinf - 
    806400*li4half*ln2^2*sinf - 20608*ln2^6*sinf - 1290240*s6*sinf + 
    1612800*li5half*z2 + 967680*li4half*ln2*z2 + 84672*ln2^5*z2 - 
    161280*li4half*sinf*z2 + 67200*ln2^4*sinf*z2 - 80640*ln2^3*z2^2 + 
    28224*ln2^2*sinf*z2^2 + 448992*ln2*z2^3 + 258624*sinf*z2^3 - 
    80640*li4half*z3 - 119280*ln2^4*z3 - 154560*ln2^3*sinf*z3 - 
    50400*ln2^2*z2*z3 - 282240*ln2*sinf*z2*z3 + 14688*z2^2*z3 + 
    1200960*ln2*z3^2 + 624960*sinf*z3^2 + 2792160*ln2^2*z5 + 
    2459520*ln2*sinf*z5 - 693360*z2*z5 - 3721365*z7)/322560, 
 H[1, -1, -1, -1, 1, 0, 0, 1] -> (-1935360*li7half - 322560*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 5888*ln2^7 + 80640*ln2*s6 - 80640*s7a + 
    1370880*s7b - 645120*li5half*ln2*sinf - 322560*li4half*ln2^2*sinf - 
    8064*ln2^6*sinf + 483840*s6*sinf - 967680*li5half*z2 - 
    1128960*li4half*ln2*z2 - 20160*ln2^5*z2 - 483840*li4half*sinf*z2 + 
    6720*ln2^4*sinf*z2 + 69888*ln2^3*z2^2 + 314784*ln2*z2^3 + 
    321408*sinf*z2^3 + 1169280*li4half*z3 + 18480*ln2^4*z3 - 
    40320*ln2^3*sinf*z3 - 756000*ln2^2*z2*z3 - 262080*ln2*sinf*z2*z3 - 
    544320*z2^2*z3 - 342720*ln2*z3^2 - 254520*sinf*z3^2 - 1708560*ln2^2*z5 - 
    604800*ln2*sinf*z5 - 2197440*z2*z5 + 6613425*z7)/322560, 
 H[1, -1, -1, -1, 1, 0, -1, 1] -> (1290240*li7half + 967680*li6half*ln2 - 
    322560*li5half*ln2^2 - 322560*li4half*ln2^3 - 9664*ln2^7 + 69120*ln2*s6 - 
    230400*s7a + 2108160*s7b + 645120*li6half*sinf - 
    645120*li5half*ln2*sinf - 483840*li4half*ln2^2*sinf - 13888*ln2^6*sinf + 
    1532160*s6*sinf + 645120*li5half*z2 + 483840*li4half*ln2*z2 + 
    48384*ln2^5*z2 - 161280*li4half*sinf*z2 + 40320*ln2^4*sinf*z2 - 
    180096*ln2^3*z2^2 - 153216*ln2^2*sinf*z2^2 + 931104*ln2*z2^3 + 
    230400*sinf*z2^3 + 80640*li4half*z3 - 21840*ln2^4*z3 - 
    33600*ln2^3*sinf*z3 - 120960*ln2^2*z2*z3 - 141120*ln2*sinf*z2*z3 - 
    582912*z2^2*z3 - 1222920*ln2*z3^2 - 539280*sinf*z3^2 - 3104640*ln2^2*z5 - 
    1678320*ln2*sinf*z5 - 6046560*z2*z5 + 8146665*z7)/322560, 
 H[1, -1, -1, -1, 1, -1, 1, 1] -> (-2096640*li7half + 241920*li5half*ln2^2 - 
    1408*ln2^7 + 339840*ln2*s6 - 339840*s7a + 426240*s7b + 
    1128960*li6half*sinf + 483840*li5half*ln2*sinf - 2240*ln2^6*sinf + 
    362880*s6*sinf - 241920*li5half*z2 + 12768*ln2^5*z2 + 
    16800*ln2^4*sinf*z2 - 63168*ln2^3*z2^2 - 32256*ln2^2*sinf*z2^2 - 
    344736*ln2*z2^3 - 187392*sinf*z2^3 - 28560*ln2^4*z3 - 
    47040*ln2^3*sinf*z3 + 30240*ln2^2*z2*z3 - 159840*z2^2*z3 - 
    384480*ln2*z3^2 - 115920*sinf*z3^2 - 529200*ln2^2*z5 - 
    57960*ln2*sinf*z5 - 1488960*z2*z5 + 4963725*z7)/161280, 
 H[1, -1, -1, -1, 1, -1, 0, 1] -> (524160*li7half - 120960*li5half*ln2^2 - 
    40320*li4half*ln2^3 - 776*ln2^7 - 203040*ln2*s6 + 203040*s7a - 
    28800*s7b - 403200*li6half*sinf - 241920*li5half*ln2*sinf - 
    60480*li4half*ln2^2*sinf - 1064*ln2^6*sinf - 110880*s6*sinf - 
    40320*li5half*z2 - 120960*li4half*ln2*z2 - 1344*ln2^5*z2 - 
    60480*li4half*sinf*z2 + 1680*ln2^4*sinf*z2 + 30240*ln2^3*z2^2 + 
    23184*ln2^2*sinf*z2^2 + 111456*ln2*z2^3 + 91008*sinf*z2^3 + 
    181440*li4half*z3 + 2520*ln2^4*z3 - 6720*ln2^3*sinf*z3 - 
    95760*ln2^2*z2*z3 - 35280*ln2*sinf*z2*z3 - 58248*z2^2*z3 + 
    213480*ln2*z3^2 + 45990*sinf*z3^2 + 233730*ln2^2*z5 + 18270*ln2*sinf*z5 + 
    304470*z2*z5 - 805635*z7)/40320, H[1, -1, -1, -1, 1, -1, -1, 1] -> 
  (645120*li7half - 120960*li5half*ln2^2 - 40320*li4half*ln2^3 - 848*ln2^7 - 
    83520*ln2*s6 + 83520*s7a - 17280*s7b - 403200*li6half*sinf - 
    241920*li5half*ln2*sinf - 60480*li4half*ln2^2*sinf - 1120*ln2^6*sinf + 
    120960*li5half*z2 + 60480*li4half*ln2*z2 + 4368*ln2^5*z2 + 
    3360*ln2^4*sinf*z2 + 5712*ln2^3*z2^2 + 8064*ln2^2*sinf*z2^2 + 
    147120*ln2*z2^3 + 92160*sinf*z2^3 - 15120*li4half*z3 - 6720*ln2^4*z3 - 
    5880*ln2^3*sinf*z3 + 22680*ln2^2*z2*z3 + 14544*z2^2*z3 + 28800*ln2*z3^2 - 
    43470*ln2^2*z5 - 161280*ln2*sinf*z5 + 134550*z2*z5 - 1015605*z7)/40320, 
 H[1, -1, -1, -1, 0, 1, 1, 1] -> (322560*li7half + 80640*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1504*ln2^7 - 270720*ln2*s6 + 270720*s7a + 
    311040*s7b + 161280*li5half*ln2*sinf + 80640*li4half*ln2^2*sinf + 
    2016*ln2^6*sinf - 80640*li5half*z2 - 161280*li4half*ln2*z2 - 
    11424*ln2^5*z2 - 80640*li4half*sinf*z2 - 10080*ln2^4*sinf*z2 + 
    11424*ln2^3*z2^2 + 30240*ln2^2*sinf*z2^2 + 116352*ln2*z2^3 + 
    9792*sinf*z2^3 + 443520*li4half*z3 + 38640*ln2^4*z3 + 
    26880*ln2^3*sinf*z3 - 221760*ln2^2*z2*z3 - 70560*ln2*sinf*z2*z3 - 
    455328*z2^2*z3 + 358560*ln2*z3^2 + 61740*sinf*z3^2 - 102060*ln2^2*z5 - 
    126000*ln2*sinf*z5 - 851940*z2*z5 + 2259045*z7)/161280, 
 H[1, -1, -1, -1, 0, 1, 0, 1] -> (-483840*li7half + 96*ln2^7 + 
    231840*ln2*s6 - 231840*s7a - 40320*s7b + 161280*li6half*sinf + 
    224*ln2^6*sinf + 40320*s6*sinf + 40320*li5half*z2 + 
    60480*li4half*ln2*z2 + 168*ln2^5*z2 + 20160*li4half*sinf*z2 - 
    2520*ln2^4*sinf*z2 - 32760*ln2^3*z2^2 - 30744*ln2^2*sinf*z2^2 - 
    70992*ln2*z2^3 - 29640*sinf*z2^3 - 146160*li4half*z3 + 1470*ln2^4*z3 + 
    10080*ln2^3*sinf*z3 + 81900*ln2^2*z2*z3 + 30240*ln2*sinf*z2*z3 + 
    101682*z2^2*z3 - 229320*ln2*z3^2 - 34335*sinf*z3^2 - 159705*ln2^2*z5 + 
    51660*ln2*sinf*z5 + 81585*z2*z5 - 60795*z7)/40320, 
 H[1, -1, -1, -1, 0, 1, -1, 1] -> (-4515840*li7half - 1128960*li6half*ln2 - 
    80640*li5half*ln2^2 + 161280*li4half*ln2^3 + 6720*ln2^7 + 374400*ln2*s6 - 
    737280*s7a + 311040*s7b - 1128960*li6half*sinf - 
    161280*li5half*ln2*sinf + 241920*li4half*ln2^2*sinf + 9856*ln2^6*sinf - 
    766080*s6*sinf + 80640*li5half*z2 - 12768*ln2^5*z2 - 
    10080*ln2^4*sinf*z2 - 79296*ln2^3*z2^2 + 92736*ln2^2*sinf*z2^2 - 
    461088*ln2*z2^3 + 101376*sinf*z2^3 - 100800*li4half*z3 + 10920*ln2^4*z3 + 
    20160*ln2^3*sinf*z3 + 307440*ln2^2*z2*z3 + 70560*ln2*sinf*z2*z3 - 
    10296*z2^2*z3 - 664560*ln2*z3^2 + 269640*sinf*z3^2 - 835380*ln2^2*z5 + 
    360360*ln2*sinf*z5 - 1126620*z2*z5 + 5561505*z7)/161280, 
 H[1, -1, -1, -1, 0, 0, 1, 1] -> (322560*li7half - 26880*li5half*ln2^2 + 
    160*ln2^7 - 28800*ln2*s6 + 28800*s7a - 119040*s7b - 161280*li6half*sinf - 
    53760*li5half*ln2*sinf + 224*ln2^6*sinf - 40320*s6*sinf + 
    53760*li5half*z2 + 26880*li4half*ln2*z2 - 224*ln2^5*z2 + 
    53760*li4half*sinf*z2 + 1120*ln2^4*sinf*z2 + 3584*ln2^3*z2^2 - 
    5376*ln2^2*sinf*z2^2 + 22272*ln2*z2^3 + 10784*sinf*z2^3 - 
    114240*li4half*z3 - 1400*ln2^4*z3 + 4480*ln2^3*sinf*z3 + 
    35280*ln2^2*z2*z3 + 26880*ln2*sinf*z2*z3 + 90168*z2^2*z3 + 
    15840*ln2*z3^2 + 3780*sinf*z3^2 + 149520*ln2^2*z5 + 12600*ln2*sinf*z5 + 
    373200*z2*z5 - 1092135*z7)/26880, H[1, -1, -1, -1, 0, 0, 0, 1] -> 
  (-13440*ln2*s6 + 13440*s7a - 40320*s6*sinf - 53760*li5half*z2 + 
    448*ln2^5*z2 - 10976*ln2^3*z2^2 - 4704*ln2^2*sinf*z2^2 - 18816*ln2*z2^3 - 
    11328*sinf*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 + 20160*ln2^2*z2*z3 + 
    13440*ln2*sinf*z2*z3 - 32928*z2^2*z3 + 16800*ln2*z3^2 + 23520*sinf*z3^2 + 
    39900*ln2^2*z5 + 53760*ln2*sinf*z5 + 1260*z2*z5 + 172515*z7)/26880, 
 H[1, -1, -1, -1, 0, 0, -1, 1] -> (-4515840*li7half - 645120*li6half*ln2 + 
    322560*li5half*ln2^2 - 2688*ln2^7 + 622080*ln2*s6 - 1025280*s7a + 
    748800*s7b + 1290240*li6half*sinf + 645120*li5half*ln2*sinf - 
    3584*ln2^6*sinf + 80640*s6*sinf - 161280*li5half*z2 + 22848*ln2^5*z2 + 
    161280*li4half*sinf*z2 + 33600*ln2^4*sinf*z2 - 92736*ln2^3*z2^2 - 
    60480*ln2^2*sinf*z2^2 - 510624*ln2*z2^3 - 328704*sinf*z2^3 + 
    40320*li4half*z3 - 38640*ln2^4*z3 - 53760*ln2^3*sinf*z3 + 
    151200*ln2^2*z2*z3 + 161280*ln2*sinf*z2*z3 - 262656*z2^2*z3 - 
    747360*ln2*z3^2 - 70560*sinf*z3^2 - 1481760*ln2^2*z5 + 
    473760*ln2*sinf*z5 - 2340720*z2*z5 + 8129475*z7)/322560, 
 H[1, -1, -1, -1, 0, -1, 1, 1] -> (584640*li7half - 70560*li5half*ln2^2 - 
    33600*li4half*ln2^3 - 928*ln2^7 - 38160*ln2*s6 + 38160*s7a - 57600*s7b - 
    20160*li6half*sinf - 80640*li5half*ln2*sinf - 50400*li4half*ln2^2*sinf - 
    1456*ln2^6*sinf + 55440*s6*sinf + 70560*li5half*z2 + 
    60480*li4half*ln2*z2 + 3108*ln2^5*z2 + 40320*li4half*sinf*z2 + 
    2940*ln2^4*sinf*z2 + 840*ln2^3*z2^2 - 23184*ln2^2*sinf*z2^2 + 
    81504*ln2*z2^3 + 1152*sinf*z2^3 - 110880*li4half*z3 - 2730*ln2^4*z3 + 
    2520*ln2^3*sinf*z3 - 6300*ln2^2*z2*z3 + 58014*z2^2*z3 + 27540*ln2*z3^2 - 
    22995*sinf*z3^2 + 95760*ln2^2*z5 + 25515*ln2*sinf*z5 + 169200*z2*z5 - 
    965205*z7)/20160, H[1, -1, -1, -1, 0, -1, 0, 1] -> 
  (-3870720*li7half + 768*ln2^7 + 1255680*ln2*s6 - 1255680*s7a - 449280*s7b + 
    1290240*li6half*sinf + 1792*ln2^6*sinf - 725760*s6*sinf - 
    1774080*li5half*z2 - 483840*li4half*ln2*z2 - 21504*ln2^5*z2 - 
    161280*li4half*sinf*z2 - 33600*ln2^4*sinf*z2 - 225792*ln2^3*z2^2 - 
    181440*ln2^2*sinf*z2^2 - 1045152*ln2*z2^3 - 371712*sinf*z2^3 + 
    40320*li4half*z3 + 82320*ln2^4*z3 + 107520*ln2^3*sinf*z3 + 
    473760*ln2^2*z2*z3 + 322560*ln2*sinf*z2*z3 + 170496*z2^2*z3 - 
    924480*ln2*z3^2 + 231840*sinf*z3^2 + 105840*ln2^2*z5 + 
    1774080*ln2*sinf*z5 + 1541520*z2*z5 + 2740275*z7)/322560, 
 H[1, -1, -1, -1, 0, -1, -1, 1] -> (-161280*li7half + 1451520*li6half*ln2 + 
    564480*li5half*ln2^2 + 53760*li4half*ln2^3 - 416*ln2^7 + 455040*ln2*s6 - 
    414720*s7a + 149760*s7b + 1612800*li6half*sinf + 
    645120*li5half*ln2*sinf + 80640*li4half*ln2^2*sinf + 224*ln2^6*sinf - 
    322560*li5half*z2 - 80640*li4half*ln2*z2 + 2016*ln2^5*z2 - 
    105504*ln2^3*z2^2 - 96768*ln2^2*sinf*z2^2 - 310176*ln2*z2^3 - 
    368640*sinf*z2^3 + 40320*li4half*z3 + 21840*ln2^4*z3 + 
    26880*ln2^3*sinf*z3 - 50400*ln2^2*z2*z3 - 74304*z2^2*z3 - 
    231120*ln2*z3^2 + 15120*ln2^2*z5 + 967680*ln2*sinf*z5 - 941400*z2*z5 + 
    2005785*z7)/161280, H[1, -1, -1, -1, -1, 1, 1, 1] -> 
  (645120*li7half - 161280*li5half*ln2^2 + 1600*ln2^7 - 80640*ln2*s6 + 
    80640*s7a - 80640*s7b - 645120*li6half*sinf - 322560*li5half*ln2*sinf + 
    2240*ln2^6*sinf - 161280*s6*sinf + 161280*li5half*z2 - 13440*ln2^5*z2 - 
    13440*ln2^4*sinf*z2 - 8064*ln2^3*z2^2 + 170208*ln2*z2^3 + 
    119808*sinf*z2^3 + 48720*ln2^4*z3 + 47040*ln2^3*sinf*z3 - 
    70560*ln2^2*z2*z3 + 80640*z2^2*z3 + 60480*ln2*z3^2 + 40320*sinf*z3^2 + 
    151200*ln2^2*z5 - 10080*ln2*sinf*z5 + 246960*z2*z5 - 1472625*z7)/322560, 
 H[1, -1, -1, -1, -1, 1, 0, 1] -> (-645120*li7half + 483840*li5half*ln2^2 + 
    322560*li4half*ln2^3 + 9536*ln2^7 + 403200*ln2*s6 - 403200*s7a - 
    887040*s7b + 645120*li6half*sinf + 967680*li5half*ln2*sinf + 
    483840*li4half*ln2^2*sinf + 12992*ln2^6*sinf - 161280*s6*sinf - 
    161280*li5half*z2 - 32256*ln2^5*z2 + 161280*li4half*sinf*z2 - 
    40320*ln2^4*sinf*z2 + 13440*ln2^3*z2^2 + 24192*ln2^2*sinf*z2^2 - 
    450144*ln2*z2^3 - 239616*sinf*z2^3 - 403200*li4half*z3 + 48720*ln2^4*z3 + 
    87360*ln2^3*sinf*z3 + 332640*ln2^2*z2*z3 + 141120*ln2*sinf*z2*z3 + 
    366912*z2^2*z3 + 20160*ln2*z3^2 + 42840*sinf*z3^2 + 463680*ln2^2*z5 - 
    10080*ln2*sinf*z5 + 2303280*z2*z5 - 3498075*z7)/322560, 
 H[1, -1, -1, -1, -1, 1, -1, 1] -> (-1612800*li7half + 645120*li5half*ln2^2 + 
    322560*li4half*ln2^3 + 8000*ln2^7 + 403200*ln2*s6 - 403200*s7a - 
    403200*s7b + 1612800*li6half*sinf + 1290240*li5half*ln2*sinf + 
    483840*li4half*ln2^2*sinf + 11200*ln2^6*sinf - 645120*li5half*z2 - 
    483840*li4half*ln2*z2 - 47040*ln2^5*z2 - 47040*ln2^4*sinf*z2 + 
    88704*ln2^3*z2^2 - 503712*ln2*z2^3 - 368640*sinf*z2^3 + 
    120960*li4half*z3 + 62160*ln2^4*z3 + 94080*ln2^3*sinf*z3 - 
    171360*ln2^2*z2*z3 + 32256*z2^2*z3 + 221760*ln2*z3^2 + 161280*ln2^2*z5 + 
    322560*ln2*sinf*z5 + 1023120*z2*z5 + 574875*z7)/322560, 
 H[1, -1, -1, -1, -1, 0, 1, 1] -> (-967680*li7half + 80640*li5half*ln2^2 - 
    480*ln2^7 + 241920*s7b + 322560*li6half*sinf + 161280*li5half*ln2*sinf - 
    896*ln2^6*sinf + 80640*s6*sinf - 241920*li5half*z2 - 
    80640*li4half*ln2*z2 + 6720*ln2^5*z2 - 80640*li4half*sinf*z2 + 
    10080*ln2^4*sinf*z2 - 13440*ln2^3*z2^2 + 26208*ln2^2*sinf*z2^2 - 
    131904*ln2*z2^3 - 27648*sinf*z2^3 + 262080*li4half*z3 - 19320*ln2^4*z3 - 
    40320*ln2^3*sinf*z3 + 75600*ln2^2*z2*z3 - 170856*z2^2*z3 - 
    100800*ln2*z3^2 - 21420*sinf*z3^2 - 302400*ln2^2*z5 - 
    136080*ln2*sinf*z5 - 488880*z2*z5 + 2276505*z7)/161280, 
 H[1, -1, -1, -1, -1, 0, 0, 1] -> 
  (645120*li7half - 128*ln2^7 - 201600*ln2*s6 + 201600*s7a - 
    161280*li6half*sinf - 224*ln2^6*sinf + 40320*s6*sinf + 80640*li5half*z2 + 
    2016*ln2^5*z2 + 3360*ln2^4*sinf*z2 + 39648*ln2^3*z2^2 + 
    30240*ln2^2*sinf*z2^2 + 105408*ln2*z2^3 + 43776*sinf*z2^3 - 
    10080*ln2^4*z3 - 13440*ln2^3*sinf*z3 - 60480*ln2^2*z2*z3 - 
    40320*ln2*sinf*z2*z3 - 2016*z2^2*z3 + 171360*ln2*z3^2 - 10080*sinf*z3^2 + 
    114660*ln2^2*z5 - 161280*ln2*sinf*z5 + 6300*z2*z5 - 595035*z7)/80640, 
 H[1, -1, -1, -1, -1, 0, -1, 1] -> (-80640*li7half - 241920*li6half*ln2 - 
    40320*li5half*ln2^2 + 16*ln2^7 - 161280*ln2*s6 + 201600*s7a - 
    403200*li6half*sinf - 80640*li5half*ln2*sinf + 112*ln2^6*sinf + 
    2688*ln2^5*z2 + 3360*ln2^4*sinf*z2 + 28224*ln2^3*z2^2 + 
    48384*ln2^2*sinf*z2^2 + 9216*ln2*z2^3 + 92160*sinf*z2^3 - 
    20160*ln2^4*z3 - 26880*ln2^3*sinf*z3 + 60480*ln2^2*z2*z3 + 
    10080*z2^2*z3 + 40320*ln2*z3^2 + 34020*ln2^2*z5 - 322560*ln2*sinf*z5 + 
    207900*z2*z5 - 113085*z7)/80640, H[1, -1, -1, -1, -1, -1, 1, 1] -> 
  (322560*li7half - 80640*li5half*ln2^2 - 53760*li4half*ln2^3 - 1824*ln2^7 - 
    80640*ln2*s6 + 80640*s7a + 80640*s7b - 161280*li6half*sinf - 
    161280*li5half*ln2*sinf - 80640*li4half*ln2^2*sinf - 2464*ln2^6*sinf + 
    80640*li5half*z2 + 80640*li4half*ln2*z2 + 11424*ln2^5*z2 + 
    10080*ln2^4*sinf*z2 - 2688*ln2^3*z2^2 + 87840*ln2*z2^3 + 
    36864*sinf*z2^3 - 20160*li4half*z3 - 25200*ln2^4*z3 - 
    23520*ln2^3*sinf*z3 + 40320*ln2^2*z2*z3 - 8064*z2^2*z3 - 40320*ln2*z3^2 - 
    80640*ln2^2*z5 - 156240*z2*z5 - 114975*z7)/161280, 
 H[1, -1, -1, -1, -1, -1, 0, 1] -> (-40320*li7half + 8*ln2^7 + 40320*ln2*s6 - 
    40320*s7a + 40320*li6half*sinf + 56*ln2^6*sinf - 1344*ln2^5*z2 - 
    1680*ln2^4*sinf*z2 - 3360*ln2^3*z2^2 - 8064*ln2^2*sinf*z2^2 - 
    2304*ln2*z2^3 - 9216*sinf*z2^3 + 5040*ln2^4*z3 + 6720*ln2^3*sinf*z3 - 
    20160*ln2^2*z2*z3 - 2016*z2^2*z3 - 10080*ln2*z3^2 - 18900*ln2^2*z5 + 
    40320*ln2*sinf*z5 - 41580*z2*z5 + 79065*z7)/40320, 
 H[1, -1, -1, -1, -1, -1, -1, 1] -> (-5040*li7half + 7*ln2^7 + 7*ln2^6*sinf - 
    42*ln2^5*z2 - 336*ln2^3*z2^2 - 1152*ln2*z2^3 + 210*ln2^4*z3 + 
    2520*ln2^2*z5 + 5040*z7)/5040, H[0, 1, 1, 1, 1, 1, 1, 1] -> z7, 
 H[0, 1, 1, 1, 1, 1, 0, 1] -> (2*z2^2*z3 + 5*z2*z5 - 20*z7)/5, 
 H[0, 1, 1, 1, 1, 1, -1, 1] -> (-107520*li7half - 26880*li6half*ln2 - 
    16*ln2^7 + 13440*ln2*s6 - 13440*s7a + 26880*li5half*z2 + 224*ln2^5*z2 + 
    2016*ln2^3*z2^2 - 4608*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 
    6720*ln2^2*z2*z3 + 19488*z2^2*z3 - 16800*ln2*z3^2 - 13020*ln2^2*z5 - 
    420*z2*z5 + 12915*z7)/26880, H[0, 1, 1, 1, 1, 0, 1, 1] -> 
  (-2*(2*z2^2*z3 + 10*z2*z5 - 25*z7))/5, H[0, 1, 1, 1, 1, 0, 0, 1] -> 
  (-(z2^2*z3) + 20*z2*z5 - 20*z7)/10, H[0, 1, 1, 1, 1, 0, -1, 1] -> 
  (1280*ln2*s6 - 1280*s7a - 1280*s7b + 7680*li5half*z2 + 
    7680*li4half*ln2*z2 + 256*ln2^5*z2 - 1280*ln2^3*z2^2 - 224*ln2*z2^3 + 
    3360*ln2^2*z2*z3 - 1248*z2^2*z3 + 360*ln2*z3^2 - 560*z2*z5 - 6155*z7)/
   5120, H[0, 1, 1, 1, 1, -1, 1, 1] -> 
  (483840*li7half - 26880*li5half*ln2^2 + 128*ln2^7 - 51840*ln2*s6 + 
    51840*s7a + 38400*s7b - 241920*li5half*z2 - 1568*ln2^5*z2 - 
    7392*ln2^3*z2^2 + 46656*ln2*z2^3 + 161280*li4half*z3 + 6720*ln2^4*z3 - 
    40320*ln2^2*z2*z3 - 109152*z2^2*z3 + 64800*ln2*z3^2 + 13020*ln2^2*z5 - 
    112380*z2*z5 + 292455*z7)/53760, H[0, 1, 1, 1, 1, -1, 0, 1] -> 
  (-645120*li7half + 128*ln2^7 - 5760*ln2*s6 + 5760*s7a - 115200*s7b + 
    403200*li5half*z2 - 6048*ln2^5*z2 - 2016*ln2^3*z2^2 - 85824*ln2*z2^3 - 
    161280*li4half*z3 - 6720*ln2^4*z3 + 40320*ln2^2*z2*z3 + 127872*z2^2*z3 + 
    7200*ln2*z3^2 + 117180*ln2^2*z5 + 337140*z2*z5 - 711045*z7)/161280, 
 H[0, 1, 1, 1, 1, -1, -1, 1] -> (806400*li7half + 483840*li6half*ln2 + 
    80640*li5half*ln2^2 - 160*ln2^7 - 86400*ln2*s6 + 5760*s7a - 115200*s7b + 
    80640*li5half*z2 + 7392*ln2^5*z2 + 15456*ln2^3*z2^2 + 33984*ln2*z2^3 + 
    120960*ln2^2*z2*z3 + 29088*z2^2*z3 + 108000*ln2*z3^2 + 117180*ln2^2*z5 + 
    427860*z2*z5 - 1674945*z7)/161280, H[0, 1, 1, 1, 0, 1, 1, 1] -> 
  (2*(z2^2*z3 + 25*z2*z5 - 45*z7))/5, H[0, 1, 1, 1, 0, 1, 0, 1] -> 
  (16*z2^2*z3 - 440*z2*z5 + 575*z7)/80, H[0, 1, 1, 1, 0, 1, -1, 1] -> 
  (-107520*ln2*s6 - 26880*s7a + 241920*s7b - 322560*li5half*z2 - 
    241920*li4half*ln2*z2 - 7392*ln2^5*z2 + 33600*ln2^3*z2^2 + 
    83616*ln2*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 - 124320*ln2^2*z2*z3 - 
    164640*z2^2*z3 - 24360*ln2*z3^2 - 260400*ln2^2*z5 - 543480*z2*z5 + 
    1517775*z7)/53760, H[0, 1, 1, 1, 0, 0, 1, 1] -> 
  (28*z2^2*z3 - 220*z2*z5 + 305*z7)/40, H[0, 1, 1, 1, 0, 0, 0, 1] -> 
  (56*z2^2*z3 + 160*z2*z5 - 545*z7)/80, H[0, 1, 1, 1, 0, 0, -1, 1] -> 
  (-11520*ln2*s6 + 11520*s7a + 11520*s7b + 53760*li5half*z2 + 
    53760*li4half*ln2*z2 + 1792*ln2^5*z2 - 8960*ln2^3*z2^2 + 2016*ln2*z2^3 + 
    23520*ln2^2*z2*z3 + 4640*z2^2*z3 - 3240*ln2*z3^2 - 78360*z2*z5 + 
    39615*z7)/17920, H[0, 1, 1, 1, 0, -1, 1, 1] -> 
  (-19200*ln2*s6 + 19200*s7a - 14400*s7b - 20160*li4half*ln2*z2 - 
    840*ln2^5*z2 + 5040*ln2^3*z2^2 - 12840*ln2*z2^3 - 18480*li4half*z3 - 
    770*ln2^4*z3 - 13020*ln2^2*z2*z3 + 16866*z2^2*z3 + 24000*ln2*z3^2 + 
    65100*ln2^2*z5 + 39150*z2*z5 - 58995*z7)/13440, 
 H[0, 1, 1, 1, 0, -1, 0, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b - 
    2688*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    16824*z2^2*z3 - 19200*ln2*z3^2 + 53880*z2*z5 - 126165*z7)/7680, 
 H[0, 1, 1, 1, 0, -1, -1, 1] -> (126720*ln2*s6 + 142080*s7a - 126720*s7b + 
    161280*li5half*z2 + 161280*li4half*ln2*z2 + 5376*ln2^5*z2 - 
    26880*ln2^3*z2^2 - 22176*ln2*z2^3 - 94080*li4half*z3 - 3920*ln2^4*z3 + 
    94080*ln2^2*z2*z3 + 88848*z2^2*z3 - 46680*ln2*z3^2 + 289920*z2*z5 - 
    714015*z7)/107520, H[0, 1, 1, 1, -1, 1, 1, 1] -> 
  (-5160960*li7half - 53760*li4half*ln2^3 - 1216*ln2^7 + 230400*ln2*s6 - 
    230400*s7a - 311040*s7b + 3225600*li5half*z2 + 161280*li4half*ln2*z2 + 
    12096*ln2^5*z2 + 6720*ln2^3*z2^2 - 165024*ln2*z2^3 - 927360*li4half*z3 - 
    38640*ln2^4*z3 + 231840*ln2^2*z2*z3 + 550080*z2^2*z3 - 288000*ln2*z3^2 + 
    78120*ln2^2*z5 + 916200*z2*z5 - 2439855*z7)/322560, 
 H[0, 1, 1, 1, -1, 1, 0, 1] -> (1290240*li7half - 256*ln2^7 + 5760*ln2*s6 - 
    5760*s7a - 207360*s7b - 483840*li5half*z2 - 40320*li4half*ln2*z2 + 
    7728*ln2^5*z2 + 20832*ln2^3*z2^2 - 20448*ln2*z2^3 - 322560*li4half*z3 - 
    13440*ln2^4*z3 + 80640*ln2^2*z2*z3 + 218880*z2^2*z3 - 7200*ln2*z3^2 + 
    195300*ln2^2*z5 + 651960*z2*z5 - 1766745*z7)/80640, 
 H[0, 1, 1, 1, -1, 1, -1, 1] -> (645120*li7half - 483840*li6half*ln2 + 
    26880*li4half*ln2^3 + 320*ln2^7 + 63360*ln2*s6 + 299520*s7a - 
    264960*s7b - 161280*li5half*z2 + 161280*li4half*ln2*z2 - 8064*ln2^5*z2 + 
    32928*ln2^3*z2^2 + 21024*ln2*z2^3 - 120960*li4half*z3 - 5040*ln2^4*z3 - 
    211680*ln2^2*z2*z3 + 129600*z2^2*z3 + 97200*ln2*z3^2 + 546840*ln2^2*z5 + 
    531360*z2*z5 - 1101195*z7)/161280, H[0, 1, 1, 1, -1, 0, 1, 1] -> 
  (130560*ln2*s6 - 130560*s7a + 433920*s7b - 860160*li5half*z2 - 
    107520*li4half*ln2*z2 + 2688*ln2^5*z2 - 38080*ln2^3*z2^2 - 
    31968*ln2*z2^3 + 389760*li4half*z3 + 16240*ln2^4*z3 - 97440*ln2^2*z2*z3 - 
    269568*z2^2*z3 - 163200*ln2*z3^2 - 546840*ln2^2*z5 - 1330920*z2*z5 + 
    3667275*z7)/107520, H[0, 1, 1, 1, -1, 0, 0, 1] -> 
  (-15360*ln2*s6 + 15360*s7a - 3840*s7b + 15360*li5half*z2 - 128*ln2^5*z2 + 
    4160*ln2^3*z2^2 + 7776*ln2*z2^3 + 24960*li4half*z3 + 1040*ln2^4*z3 - 
    6240*ln2^2*z2*z3 - 4128*z2^2*z3 + 19200*ln2*z3^2 + 18600*ln2^2*z5 + 
    26280*z2*z5 - 73995*z7)/7680, H[0, 1, 1, 1, -1, 0, -1, 1] -> 
  (3440640*li7half + 860160*li6half*ln2 + 512*ln2^7 - 564480*ln2*s6 + 
    430080*s7a - 134400*s7b - 967680*li5half*z2 - 215040*li4half*ln2*z2 - 
    4480*ln2^5*z2 + 34048*ln2^3*z2^2 + 210912*ln2*z2^3 + 564480*li4half*z3 + 
    23520*ln2^4*z3 + 70560*ln2^2*z2*z3 - 179088*z2^2*z3 + 546840*ln2*z3^2 + 
    546840*ln2^2*z5 + 1492680*z2*z5 - 4000815*z7)/107520, 
 H[0, 1, 1, 1, -1, -1, 1, 1] -> (-698880*li7half + 80640*li5half*ln2^2 + 
    8960*li4half*ln2^3 - 160*ln2^7 + 97920*ln2*s6 - 97920*s7a + 291840*s7b - 
    134400*li5half*z2 - 80640*li4half*ln2*z2 - 4032*ln2^5*z2 - 
    10080*ln2^3*z2^2 - 58368*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 
    100800*ln2^2*z2*z3 - 124896*z2^2*z3 - 122400*ln2*z3^2 - 351540*ln2^2*z5 - 
    921540*z2*z5 + 2519955*z7)/53760, H[0, 1, 1, 1, -1, -1, 0, 1] -> 
  (-1290240*li7half + 256*ln2^7 + 257280*ln2*s6 - 257280*s7a - 203520*s7b + 
    698880*li5half*z2 + 53760*li4half*ln2*z2 - 8960*ln2^5*z2 - 
    19712*ln2^3*z2^2 - 51360*ln2*z2^3 - 389760*li4half*z3 - 16240*ln2^4*z3 + 
    97440*ln2^2*z2*z3 + 275904*z2^2*z3 - 321600*ln2*z3^2 - 52080*ln2^2*z5 + 
    234960*z2*z5 - 812565*z7)/107520, H[0, 1, 1, 1, -1, -1, -1, 1] -> 
  (4838400*li7half + 322560*li6half*ln2 - 483840*li5half*ln2^2 - 
    53760*li4half*ln2^3 + 1280*ln2^7 - 1105920*ln2*s6 + 1025280*s7a - 
    910080*s7b - 483840*li5half*z2 + 14784*ln2^5*z2 + 71232*ln2^3*z2^2 + 
    357984*ln2*z2^3 + 362880*li4half*z3 + 15120*ln2^4*z3 + 
    393120*ln2^2*z2*z3 + 141696*z2^2*z3 + 1029600*ln2*z3^2 + 
    1718640*ln2^2*z5 + 3686400*z2*z5 - 9664785*z7)/322560, 
 H[0, 1, 1, 0, 1, 1, 1, 1] -> -10*z2*z5 + 17*z7, 
 H[0, 1, 1, 0, 1, 1, 0, 1] -> (-4*z2^2*z3 + 36*z2*z5 - 51*z7)/8, 
 H[0, 1, 1, 0, 1, 1, -1, 1] -> (272640*ln2*s6 + 130560*s7a - 380160*s7b + 
    537600*li5half*z2 + 483840*li4half*ln2*z2 + 15680*ln2^5*z2 - 
    76160*ln2^3*z2^2 - 110688*ln2*z2^3 - 215040*li4half*z3 - 8960*ln2^4*z3 + 
    124320*ln2^2*z2*z3 + 182880*z2^2*z3 + 53160*ln2*z3^2 + 494760*ln2^2*z5 + 
    771480*z2*z5 - 2168925*z7)/107520, H[0, 1, 1, 0, 1, 0, 1, 1] -> 
  (-3*(16*z2^2*z3 - 320*z2*z5 + 485*z7))/80, H[0, 1, 1, 0, 1, 0, 0, 1] -> 
  (-56*z2^2*z3 - 220*z2*z5 + 655*z7)/40, H[0, 1, 1, 0, 1, 0, -1, 1] -> 
  (5760*ln2*s6 - 5760*s7a - 5760*s7b - 26880*li5half*z2 - 
    26880*li4half*ln2*z2 - 896*ln2^5*z2 + 4480*ln2^3*z2^2 - 1008*ln2*z2^3 - 
    11760*ln2^2*z2*z3 + 368*z2^2*z3 + 1620*ln2*z3^2 + 35785*z2*z5 - 17760*z7)/
   4480, H[0, 1, 1, 0, 1, -1, 1, 1] -> 
  (46080*ln2*s6 - 46080*s7a - 72960*s7b + 122880*li5half*z2 + 
    69120*li4half*ln2*z2 + 1856*ln2^5*z2 - 7040*ln2^3*z2^2 + 2400*ln2*z2^3 - 
    120960*li4half*z3 - 5040*ln2^4*z3 + 70560*ln2^2*z2*z3 + 73056*z2^2*z3 - 
    57600*ln2*z3^2 - 29760*ln2^2*z5 + 223680*z2*z5 - 676365*z7)/15360, 
 H[0, 1, 1, 0, 1, -1, 0, 1] -> (-103680*ln2*s6 + 103680*s7a + 103680*s7b - 
    1296*ln2*z2^3 + 174720*li4half*z3 + 7280*ln2^4*z3 - 43680*ln2^2*z2*z3 - 
    113640*z2^2*z3 + 129600*ln2*z3^2 - 510150*z2*z5 + 1090905*z7)/26880, 
 H[0, 1, 1, 0, 1, -1, -1, 1] -> (-13440*ln2*s6 + 53760*s7a - 80640*s7b - 
    215040*li5half*z2 - 241920*li4half*ln2*z2 - 8288*ln2^5*z2 + 
    42560*ln2^3*z2^2 - 39936*ln2*z2^3 + 33600*li4half*z3 + 1400*ln2^4*z3 - 
    184800*ln2^2*z2*z3 + 9408*z2^2*z3 + 113820*ln2*z3^2 + 325500*ln2^2*z5 + 
    239400*z2*z5 - 6615*z7)/53760, H[0, 1, 1, 0, 0, 1, 1, 1] -> 
  (2*z2^2*z3 - 5*z7)/20, H[0, 1, 1, 0, 0, 1, 0, 1] -> 
  (-136*z2^2*z3 + 360*z2*z5 - 335*z7)/80, H[0, 1, 1, 0, 0, 1, -1, 1] -> 
  (6400*ln2*s6 - 24320*s7a + 11520*s7b - 53760*li5half*z2 + 448*ln2^5*z2 - 
    4480*ln2^3*z2^2 - 15712*ln2*z2^3 + 23520*ln2^2*z2*z3 - 14176*z2^2*z3 + 
    5720*ln2*z3^2 - 34720*ln2^2*z5 + 69620*z2*z5 - 24295*z7)/17920, 
 H[0, 1, 1, 0, 0, 0, 1, 1] -> (28*z2^2*z3 - 220*z2*z5 + 305*z7)/40, 
 H[0, 1, 1, 0, 0, 0, 0, 1] -> (6*z2^2*z3 + 5*z2*z5 - 20*z7)/5, 
 H[0, 1, 1, 0, 0, 0, -1, 1] -> (-5120*ln2*s6 + 5120*s7a + 5120*s7b + 
    896*ln2*z2^3 + 1328*z2^2*z3 - 1440*ln2*z3^2 - 22390*z2*z5 + 37755*z7)/
   4480, H[0, 1, 1, 0, 0, -1, 1, 1] -> 
  (-25600*ln2*s6 + 25600*s7a + 16640*s7b - 26880*li4half*ln2*z2 - 
    1120*ln2^5*z2 + 6720*ln2^3*z2^2 + 11776*ln2*z2^3 + 47040*li4half*z3 + 
    1960*ln2^4*z3 - 35280*ln2^2*z2*z3 - 21416*z2^2*z3 + 32000*ln2*z3^2 + 
    17360*ln2^2*z5 - 100680*z2*z5 + 201655*z7)/8960, 
 H[0, 1, 1, 0, 0, -1, 0, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b - 
    2688*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    13560*z2^2*z3 - 19200*ln2*z3^2 + 68760*z2*z5 - 138705*z7)/3840, 
 H[0, 1, 1, 0, 0, -1, -1, 1] -> (15360*ln2*s6 - 1920*s7a - 15360*s7b + 
    80640*li5half*z2 + 80640*li4half*ln2*z2 + 2688*ln2^5*z2 - 
    13440*ln2^3*z2^2 - 2688*ln2*z2^3 - 23520*li4half*z3 - 980*ln2^4*z3 + 
    41160*ln2^2*z2*z3 + 14412*z2^2*z3 - 16260*ln2*z3^2 - 3600*z2*z5 - 
    138885*z7)/13440, H[0, 1, 1, 0, -1, 1, 1, 1] -> 
  (145920*ln2*s6 - 145920*s7a + 149760*s7b - 430080*li5half*z2 + 
    3584*ln2^5*z2 - 35840*ln2^3*z2^2 - 35808*ln2*z2^3 + 215040*li4half*z3 + 
    8960*ln2^4*z3 + 16800*ln2^2*z2*z3 - 69600*z2^2*z3 - 182400*ln2*z3^2 - 
    286440*ln2^2*z5 - 623880*z2*z5 + 1561215*z7)/107520, 
 H[0, 1, 1, 0, -1, 1, 0, 1] -> (-115200*ln2*s6 + 115200*s7a + 115200*s7b + 
    59040*ln2*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 - 53760*ln2^2*z2*z3 - 
    212712*z2^2*z3 + 144000*ln2*z3^2 - 33480*z2*z5 + 393945*z7)/53760, 
 H[0, 1, 1, 0, -1, 1, -1, 1] -> (-230400*ln2*s6 - 172800*s7a + 42240*s7b + 
    376320*li5half*z2 - 3136*ln2^5*z2 + 31360*ln2^3*z2^2 + 113568*ln2*z2^3 + 
    70560*ln2^2*z2*z3 - 66240*z2^2*z3 + 182160*ln2*z3^2 - 208320*ln2^2*z5 - 
    134160*z2*z5 - 439245*z7)/107520, H[0, 1, 1, 0, -1, 0, 1, 1] -> 
  (-78*z2^2*z3 + 1930*z2*z5 - 2965*z7)/640, H[0, 1, 1, 0, -1, 0, 0, 1] -> 
  (588*z2^2*z3 - 2680*z2*z5 + 4125*z7)/640, H[0, 1, 1, 0, -1, 0, -1, 1] -> 
  (-11520*ln2*s6 + 11520*s7a + 11520*s7b - 53760*li5half*z2 - 
    53760*li4half*ln2*z2 - 1792*ln2^5*z2 + 8960*ln2^3*z2^2 + 2016*ln2*z2^3 - 
    23520*ln2^2*z2*z3 - 1520*z2^2*z3 - 3240*ln2*z3^2 - 6470*z2*z5 + 
    111085*z7)/8960, H[0, 1, 1, 0, -1, -1, 1, 1] -> 
  (76800*ln2*s6 - 76800*s7a + 111360*s7b - 215040*li5half*z2 + 
    1792*ln2^5*z2 - 17920*ln2^3*z2^2 - 7776*ln2*z2^3 + 107520*li4half*z3 + 
    4480*ln2^4*z3 + 8400*ln2^2*z2*z3 - 58224*z2^2*z3 - 96000*ln2*z3^2 - 
    221340*ln2^2*z5 - 154500*z2*z5 + 558225*z7)/53760, 
 H[0, 1, 1, 0, -1, -1, 0, 1] -> (-22*z2^2*z3 - 13*z2*z5 + 73*z7)/128, 
 H[0, 1, 1, 0, -1, -1, -1, 1] -> (-16640*ln2*s6 + 3200*s7a + 16640*s7b - 
    26880*li5half*z2 - 26880*li4half*ln2*z2 - 896*ln2^5*z2 + 
    4480*ln2^3*z2^2 + 2912*ln2*z2^3 - 11760*ln2^2*z2*z3 - 3216*z2^2*z3 - 
    4680*ln2*z3^2 - 40060*z2*z5 + 116675*z7)/17920, 
 H[0, 1, 1, -1, 1, 1, 1, 1] -> (6128640*li7half - 1216*ln2^7 + 
    230400*ln2*s6 - 230400*s7a - 311040*s7b - 3225600*li5half*z2 + 
    12096*ln2^5*z2 - 36288*ln2^3*z2^2 - 36000*ln2*z2^3 - 645120*li4half*z3 - 
    38640*ln2^4*z3 + 231840*ln2^2*z2*z3 + 324288*z2^2*z3 - 288000*ln2*z3^2 + 
    78120*ln2^2*z5 + 916200*z2*z5 - 2439855*z7)/322560, 
 H[0, 1, 1, -1, 1, 1, 0, 1] -> (-1290240*li7half + 256*ln2^7 - 30720*ln2*s6 + 
    30720*s7a + 380160*s7b + 215040*li5half*z2 - 7168*ln2^5*z2 - 
    12992*ln2^3*z2^2 + 23328*ln2*z2^3 + 591360*li4half*z3 + 24640*ln2^4*z3 - 
    154560*ln2^2*z2*z3 - 351552*z2^2*z3 + 44280*ln2*z3^2 - 338520*ln2^2*z5 - 
    1103280*z2*z5 + 2958945*z7)/53760, H[0, 1, 1, -1, 1, 1, -1, 1] -> 
  (-2419200*li7half + 161280*li6half*ln2 + 704*ln2^7 - 190080*ln2*s6 - 
    414720*s7a + 875520*s7b - 725760*li4half*ln2*z2 - 25536*ln2^5*z2 + 
    66528*ln2^3*z2^2 + 57600*ln2*z2^3 + 483840*li4half*z3 + 26040*ln2^4*z3 - 
    156240*ln2^2*z2*z3 - 450792*z2^2*z3 - 229860*ln2*z3^2 - 
    1249920*ln2^2*z5 - 2332440*z2*z5 + 6277815*z7)/161280, 
 H[0, 1, 1, -1, 1, 0, 1, 1] -> (-476160*ln2*s6 + 476160*s7a - 625920*s7b + 
    1505280*li5half*z2 - 12544*ln2^5*z2 + 105280*ln2^3*z2^2 + 
    216480*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 - 40320*ln2^2*z2*z3 + 
    147024*z2^2*z3 + 571680*ln2*z3^2 + 1067640*ln2^2*z5 + 1678200*z2*z5 - 
    4885635*z7)/107520, H[0, 1, 1, -1, 1, 0, 0, 1] -> 
  (126720*ln2*s6 - 126720*s7a + 74880*s7b - 53760*li5half*z2 + 448*ln2^5*z2 - 
    34720*ln2^3*z2^2 - 1104*ln2*z2^3 - 161280*li4half*z3 - 6720*ln2^4*z3 + 
    25200*ln2^2*z2*z3 - 19596*z2^2*z3 - 176040*ln2*z3^2 - 195300*ln2^2*z5 - 
    293040*z2*z5 + 713985*z7)/26880, H[0, 1, 1, -1, 1, 0, -1, 1] -> 
  (-5160960*li7half - 1290240*li6half*ln2 - 768*ln2^7 + 695040*ln2*s6 - 
    977280*s7a + 917760*s7b + 833280*li5half*z2 + 241920*li4half*ln2*z2 + 
    8512*ln2^5*z2 - 82432*ln2^3*z2^2 - 206112*ln2*z2^3 - 376320*li4half*z3 - 
    15680*ln2^4*z3 - 48720*ln2^2*z2*z3 - 141384*z2^2*z3 - 1021680*ln2*z3^2 - 
    1835820*ln2^2*z5 - 3660240*z2*z5 + 9408255*z7)/53760, 
 H[0, 1, 1, -1, 1, -1, 1, 1] -> (-80640*li7half - 30240*li5half*ln2^2 + 
    268*ln2^7 + 85680*ln2*s6 - 85680*s7a - 70560*s7b + 90720*li5half*z2 + 
    90720*li4half*ln2*z2 + 3948*ln2^5*z2 - 24864*ln2^3*z2^2 - 
    16704*ln2*z2^3 - 98280*li4half*z3 - 3360*ln2^4*z3 + 110880*ln2^2*z2*z3 + 
    71694*z2^2*z3 - 102690*ln2*z3^2 - 58590*ln2^2*z5 + 280035*z2*z5 - 
    692370*z7)/20160, H[0, 1, 1, -1, 1, -1, 0, 1] -> 
  (1128960*li7half - 224*ln2^7 - 321120*ln2*s6 + 321120*s7a + 28800*s7b - 
    181440*li5half*z2 + 6216*ln2^5*z2 + 16968*ln2^3*z2^2 + 85320*ln2*z2^3 + 
    181440*li4half*z3 + 7560*ln2^4*z3 - 66780*ln2^2*z2*z3 - 142974*z2^2*z3 + 
    366120*ln2*z3^2 + 283185*ln2^2*z5 - 181620*z2*z5 + 12780*z7)/40320, 
 H[0, 1, 1, -1, 1, -1, -1, 1] -> (-3225600*li7half - 967680*li6half*ln2 + 
    483840*li5half*ln2^2 - 4736*ln2^7 + 783360*ln2*s6 - 541440*s7a - 
    57600*s7b + 1451520*li5half*z2 - 21504*ln2^5*z2 + 182784*ln2^3*z2^2 - 
    93600*ln2*z2^3 - 1088640*li4half*z3 - 57120*ln2^4*z3 - 
    1048320*ln2^2*z2*z3 + 399600*z2^2*z3 - 361800*ln2*z3^2 + 
    234360*ln2^2*z5 - 2680920*z2*z5 + 4931595*z7)/322560, 
 H[0, 1, 1, -1, 0, 1, 1, 1] -> (-69120*ln2*s6 + 69120*s7a - 24960*s7b + 
    107520*li5half*z2 - 896*ln2^5*z2 + 8960*ln2^3*z2^2 + 25680*ln2*z2^3 + 
    80640*li4half*z3 + 3360*ln2^4*z3 - 17640*ln2^2*z2*z3 - 29196*z2^2*z3 + 
    89340*ln2*z3^2 + 91140*ln2^2*z5 + 119940*z2*z5 - 313665*z7)/26880, 
 H[0, 1, 1, -1, 0, 1, 0, 1] -> (230400*ln2*s6 - 230400*s7a - 230400*s7b - 
    215040*li5half*z2 + 1792*ln2^5*z2 - 17920*ln2^3*z2^2 - 189312*ln2*z2^3 - 
    537600*li4half*z3 - 22400*ln2^4*z3 + 194880*ln2^2*z2*z3 + 
    289176*z2^2*z3 - 217440*ln2*z3^2 + 894360*z2*z5 - 1462305*z7)/53760, 
 H[0, 1, 1, -1, 0, 1, -1, 1] -> (10321920*li7half + 2580480*li6half*ln2 + 
    1536*ln2^7 - 261120*ln2*s6 + 2062080*s7a - 3045120*s7b - 
    1021440*li5half*z2 + 483840*li4half*ln2*z2 + 17920*ln2^5*z2 - 
    3136*ln2^3*z2^2 - 24672*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 + 
    245280*ln2^2*z2*z3 + 831456*z2^2*z3 + 2055120*ln2*z3^2 + 
    4947600*ln2^2*z5 + 10263840*z2*z5 - 24987885*z7)/107520, 
 H[0, 1, 1, -1, 0, 0, 1, 1] -> (46080*ln2*s6 - 46080*s7a + 88320*s7b - 
    107520*li5half*z2 + 896*ln2^5*z2 - 8960*ln2^3*z2^2 - 4800*ln2*z2^3 - 
    26880*li4half*z3 - 1120*ln2^4*z3 - 8400*ln2^2*z2*z3 - 4224*z2^2*z3 - 
    75240*ln2*z3^2 - 130200*ln2^2*z5 - 415260*z2*z5 + 830115*z7)/26880, 
 H[0, 1, 1, -1, 0, 0, 0, 1] -> (-76800*ln2*s6 + 76800*s7a - 30720*s7b + 
    3072*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 + 
    2616*z2^2*z3 + 96000*ln2*z3^2 + 104160*ln2^2*z5 + 170040*z2*z5 - 
    366705*z7)/26880, H[0, 1, 1, -1, 0, 0, -1, 1] -> 
  (-38400*ln2*s6 - 42240*s7a + 132480*s7b - 107520*li5half*z2 - 
    40320*li4half*ln2*z2 - 784*ln2^5*z2 + 1120*ln2^3*z2^2 + 21072*ln2*z2^3 + 
    36960*li4half*z3 + 1540*ln2^4*z3 - 1680*ln2^2*z2*z3 - 48168*z2^2*z3 - 
    51960*ln2*z3^2 - 169260*ln2^2*z5 - 299385*z2*z5 + 675390*z7)/13440, 
 H[0, 1, 1, -1, 0, -1, 1, 1] -> (-2580480*li7half + 215040*li5half*ln2^2 - 
    1280*ln2^7 + 84480*ln2*s6 - 84480*s7a + 587520*s7b + 860160*li5half*z2 - 
    241920*li4half*ln2*z2 - 10080*ln2^5*z2 + 30688*ln2^3*z2^2 + 
    21600*ln2*z2^3 + 47040*li4half*z3 + 1960*ln2^4*z3 - 334320*ln2^2*z2*z3 - 
    229560*z2^2*z3 - 152640*ln2*z3^2 - 716100*ln2^2*z5 - 2966940*z2*z5 + 
    6383955*z7)/53760, H[0, 1, 1, -1, 0, -1, 0, 1] -> 
  (142080*ln2*s6 - 142080*s7a - 249600*s7b - 54672*ln2*z2^3 - 
    228480*li4half*z3 - 9520*ln2^4*z3 + 97440*ln2^2*z2*z3 + 207336*z2^2*z3 - 
    130560*ln2*z3^2 + 104160*ln2^2*z5 + 920730*z2*z5 - 1914135*z7)/26880, 
 H[0, 1, 1, -1, 0, -1, -1, 1] -> (-2580480*li7half - 1290240*li6half*ln2 - 
    215040*li5half*ln2^2 + 512*ln2^7 - 63360*ln2*s6 - 514560*s7a + 
    695040*s7b + 107520*li5half*z2 + 241920*li4half*ln2*z2 + 7392*ln2^5*z2 - 
    51520*ln2^3*z2^2 - 69216*ln2*z2^3 + 20160*li4half*z3 + 840*ln2^4*z3 + 
    211680*ln2^2*z2*z3 - 204360*z2^2*z3 - 482340*ln2*z3^2 - 
    1106700*ln2^2*z5 - 1969020*z2*z5 + 5460585*z7)/53760, 
 H[0, 1, 1, -1, -1, 1, 1, 1] -> (5483520*li7half + 161280*li4half*ln2^3 + 
    5632*ln2^7 - 1704960*ln2*s6 + 1704960*s7a - 1762560*s7b - 
    483840*li4half*ln2*z2 - 37632*ln2^5*z2 + 340032*ln2^3*z2^2 + 
    519840*ln2*z2^3 + 846720*li4half*z3 + 47040*ln2^4*z3 - 
    211680*ln2^2*z2*z3 + 229536*z2^2*z3 + 2095920*ln2*z3^2 + 
    3359160*ln2^2*z5 + 5285880*z2*z5 - 13548645*z7)/322560, 
 H[0, 1, 1, -1, -1, 1, 0, 1] -> (2580480*li7half - 512*ln2^7 + 
    184320*ln2*s6 - 184320*s7a - 587520*s7b - 1290240*li5half*z2 + 
    483840*li4half*ln2*z2 + 41664*ln2^5*z2 - 65856*ln2^3*z2^2 - 
    340128*ln2*z2^3 - 322560*li4half*z3 - 13440*ln2^4*z3 + 
    544320*ln2^2*z2*z3 + 147744*z2^2*z3 + 228240*ln2*z3^2 + 390600*ln2^2*z5 + 
    3779640*z2*z5 - 6725835*z7)/322560, H[0, 1, 1, -1, -1, 1, -1, 1] -> 
  (-1612800*li7half + 967680*li6half*ln2 - 161280*li4half*ln2^3 - 
    5056*ln2^7 + 1359360*ln2*s6 - 391680*s7a - 149760*s7b - 
    967680*li5half*z2 + 483840*li4half*ln2*z2 + 45696*ln2^5*z2 - 
    372288*ln2^3*z2^2 - 834336*ln2*z2^3 + 725760*li4half*z3 + 
    18480*ln2^4*z3 + 423360*ln2^2*z2*z3 - 330912*z2^2*z3 - 23400*ln2*z3^2 - 
    234360*ln2^2*z5 + 2284560*z2*z5 - 759645*z7)/322560, 
 H[0, 1, 1, -1, -1, 0, 1, 1] -> (30720*ln2*s6 - 30720*s7a + 34560*s7b - 
    30720*li5half*z2 + 23040*li4half*ln2*z2 + 1216*ln2^5*z2 - 
    7360*ln2^3*z2^2 - 2592*ln2*z2^3 - 14400*li4half*z3 - 600*ln2^4*z3 + 
    3360*ln2^2*z2*z3 - 3312*z2^2*z3 - 42600*ln2*z3^2 - 63240*ln2^2*z5 - 
    93360*z2*z5 + 189255*z7)/7680, H[0, 1, 1, -1, -1, 0, 0, 1] -> 
  (-24960*ln2*s6 + 24960*s7a - 1920*s7b + 26880*li5half*z2 - 224*ln2^5*z2 + 
    7280*ln2^3*z2^2 + 9600*ln2*z2^3 + 28560*li4half*z3 + 1190*ln2^4*z3 - 
    12180*ln2^2*z2*z3 - 8184*z2^2*z3 + 25320*ln2*z3^2 + 26040*ln2^2*z5 - 
    25650*z2*z5 + 11685*z7)/6720, H[0, 1, 1, -1, -1, 0, -1, 1] -> 
  (3440640*li7half + 860160*li6half*ln2 + 512*ln2^7 - 403200*ln2*s6 + 
    537600*s7a - 510720*s7b - 215040*li5half*z2 - 161280*li4half*ln2*z2 - 
    8512*ln2^5*z2 + 83328*ln2^3*z2^2 + 280416*ln2*z2^3 - 40320*li4half*z3 - 
    1680*ln2^4*z3 - 94080*ln2^2*z2*z3 + 179760*z2^2*z3 + 462840*ln2*z3^2 + 
    1015560*ln2^2*z5 + 1591800*z2*z5 - 5484465*z7)/53760, 
 H[0, 1, 1, -1, -1, -1, 1, 1] -> (-1290240*li7half + 53760*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 2432*ln2^7 + 226560*ln2*s6 - 226560*s7a + 
    579840*s7b + 268800*li5half*z2 + 3584*ln2^5*z2 - 30016*ln2^3*z2^2 + 
    30240*ln2*z2^3 - 67200*li4half*z3 - 6720*ln2^4*z3 - 204960*ln2^2*z2*z3 - 
    154944*z2^2*z3 - 365520*ln2*z3^2 - 755160*ln2^2*z5 - 2379480*z2*z5 + 
    4887195*z7)/107520, H[0, 1, 1, -1, -1, -1, 0, 1] -> 
  (-161280*li7half + 32*ln2^7 + 29280*ln2*s6 - 29280*s7a - 19200*s7b + 
    20160*li5half*z2 - 20160*li4half*ln2*z2 - 1680*ln2^5*z2 - 
    504*ln2^3*z2^2 - 15528*ln2*z2^3 - 8400*li4half*z3 - 350*ln2^4*z3 + 
    9240*ln2^2*z2*z3 + 16230*z2^2*z3 - 24840*ln2*z3^2 - 9765*ln2^2*z5 + 
    71940*z2*z5 - 52725*z7)/13440, H[0, 1, 1, -1, -1, -1, -1, 1] -> 
  (3225600*li7half - 322560*li6half*ln2 - 161280*li5half*ln2^2 + 
    161280*li4half*ln2^3 + 6976*ln2^7 - 1209600*ln2*s6 + 403200*s7a - 
    80640*s7b - 161280*li5half*z2 - 16128*ln2^5*z2 + 146496*ln2^3*z2^2 + 
    505440*ln2*z2^3 + 11760*ln2^4*z3 + 241920*ln2^2*z2*z3 + 64512*z2^2*z3 + 
    365400*ln2*z3^2 + 390600*ln2^2*z5 + 579600*z2*z5 - 3712905*z7)/322560, 
 H[0, 1, 0, 1, 1, 1, 1, 1] -> (4*z2^2*z3 + 25*z2*z5 - 55*z7)/5, 
 H[0, 1, 0, 1, 1, 1, 0, 1] -> (-56*z2^2*z3 - 240*z2*z5 + 575*z7)/80, 
 H[0, 1, 0, 1, 1, 1, -1, 1] -> (53760*li7half + 13440*li6half*ln2 + 8*ln2^7 - 
    9480*ln2*s6 + 1920*s7a - 4800*s7b - 13440*li5half*z2 - 
    5040*li4half*ln2*z2 - 154*ln2^5*z2 + 1302*ln2^3*z2^2 + 2688*ln2*z2^3 + 
    3360*li4half*z3 + 140*ln2^4*z3 + 4200*ln2^2*z2*z3 + 498*z2^2*z3 + 
    8175*ln2*z3^2 + 6510*ln2^2*z5 + 20925*z2*z5 - 67860*z7)/3360, 
 H[0, 1, 0, 1, 1, 0, 1, 1] -> (-44*z2*z5 + 75*z7)/8, 
 H[0, 1, 0, 1, 1, 0, 0, 1] -> (312*z2^2*z3 - 40*z2*z5 - 895*z7)/80, 
 H[0, 1, 0, 1, 1, 0, -1, 1] -> (-58880*ln2*s6 + 58880*s7a + 58880*s7b + 
    10304*ln2*z2^3 - 6120*z2^2*z3 - 16560*ln2*z3^2 - 182620*z2*z5 + 
    350095*z7)/17920, H[0, 1, 0, 1, 1, -1, 1, 1] -> 
  (-1290240*li7half + 107520*li5half*ln2^2 - 640*ln2^7 + 23040*ln2*s6 - 
    23040*s7a + 514560*s7b - 241920*li4half*ln2*z2 - 6496*ln2^5*z2 + 
    4704*ln2^3*z2^2 - 33120*ln2*z2^3 + 262080*li4half*z3 + 10920*ln2^4*z3 - 
    297360*ln2^2*z2*z3 - 327192*z2^2*z3 - 28800*ln2*z3^2 - 403620*ln2^2*z5 - 
    1601820*z2*z5 + 4403325*z7)/53760, H[0, 1, 0, 1, 1, -1, 0, 1] -> 
  (276480*ln2*s6 - 276480*s7a - 276480*s7b - 107520*li5half*z2 + 
    896*ln2^5*z2 - 8960*ln2^3*z2^2 - 32160*ln2*z2^3 - 349440*li4half*z3 - 
    14560*ln2^4*z3 + 87360*ln2^2*z2*z3 + 341064*z2^2*z3 - 345600*ln2*z3^2 + 
    1012500*z2*z5 - 2309565*z7)/53760, H[0, 1, 0, 1, 1, -1, -1, 1] -> 
  (860160*li7half - 430080*li6half*ln2 - 215040*li5half*ln2^2 + 1024*ln2^7 - 
    391680*ln2*s6 + 445440*s7a - 334080*s7b + 645120*li5half*z2 + 
    483840*li4half*ln2*z2 + 9408*ln2^5*z2 + 7168*ln2^3*z2^2 + 
    156960*ln2*z2^3 - 282240*li4half*z3 - 11760*ln2^4*z3 + 
    302400*ln2^2*z2*z3 + 248256*z2^2*z3 + 107400*ln2*z3^2 + 520800*ln2^2*z5 + 
    481560*z2*z5 - 2592585*z7)/107520, H[0, 1, 0, 1, 0, 1, 1, 1] -> 
  (72*z2^2*z3 - 600*z2*z5 + 785*z7)/80, H[0, 1, 0, 1, 0, 1, 0, 1] -> 
  (-3*z2^2*z3 + 10*z2*z5 - 10*z7)/5, H[0, 1, 0, 1, 0, 1, -1, 1] -> 
  (38400*ln2*s6 + 69120*s7a - 145920*s7b + 322560*li5half*z2 + 
    161280*li4half*ln2*z2 + 4032*ln2^5*z2 - 13440*ln2^3*z2^2 + 
    1488*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 26880*ln2^2*z2*z3 + 
    76056*z2^2*z3 + 34320*ln2*z3^2 + 208320*ln2^2*z5 + 139680*z2*z5 - 
    743115*z7)/26880, H[0, 1, 0, 1, 0, 0, 1, 1] -> 
  (-3*(16*z2^2*z3 - 320*z2*z5 + 485*z7))/80, H[0, 1, 0, 1, 0, 0, 0, 1] -> 
  (-2*(6*z2^2*z3 + 10*z2*z5 - 25*z7))/5, H[0, 1, 0, 1, 0, 0, -1, 1] -> 
  (12800*ln2*s6 - 12800*s7a - 12800*s7b - 2240*ln2*z2^3 + 2616*z2^2*z3 + 
    3600*ln2*z3^2 + 43900*z2*z5 - 85725*z7)/8960, 
 H[0, 1, 0, 1, 0, -1, 1, 1] -> (353280*ln2*s6 - 353280*s7a - 138240*s7b + 
    322560*li4half*ln2*z2 + 13440*ln2^5*z2 - 80640*ln2^3*z2^2 - 
    78240*ln2*z2^3 - 349440*li4half*z3 - 14560*ln2^4*z3 + 
    369600*ln2^2*z2*z3 + 254112*z2^2*z3 - 441600*ln2*z3^2 - 416640*ln2^2*z5 + 
    750480*z2*z5 - 1885845*z7)/53760, H[0, 1, 0, 1, 0, -1, 0, 1] -> 
  (-7680*ln2*s6 + 7680*s7a + 7680*s7b + 1344*ln2*z2^3 + 13440*li4half*z3 + 
    560*ln2^4*z3 - 3360*ln2^2*z2*z3 - 9948*z2^2*z3 + 9600*ln2*z3^2 - 
    28200*z2*z5 + 65025*z7)/960, H[0, 1, 0, 1, 0, -1, -1, 1] -> 
  (-7680*ln2*s6 - 7680*s7a + 7680*s7b - 23040*li5half*z2 - 
    23040*li4half*ln2*z2 - 768*ln2^5*z2 + 3840*ln2^3*z2^2 + 1344*ln2*z2^3 + 
    13440*li4half*z3 + 560*ln2^4*z3 - 13440*ln2^2*z2*z3 - 8124*z2^2*z3 + 
    9600*ln2*z3^2 - 8700*z2*z5 + 51015*z7)/3840, 
 H[0, 1, 0, 1, -1, 1, 1, 1] -> (645120*li7half + 26880*li4half*ln2^3 + 
    992*ln2^7 - 106560*ln2*s6 + 106560*s7a - 95040*s7b - 403200*li5half*z2 - 
    80640*li4half*ln2*z2 - 4032*ln2^5*z2 + 28392*ln2^3*z2^2 - 9072*ln2*z2^3 + 
    100800*li4half*z3 + 4200*ln2^4*z3 - 17640*ln2^2*z2*z3 + 27072*z2^2*z3 + 
    133200*ln2*z3^2 + 195300*ln2^2*z5 + 376830*z2*z5 - 670725*z7)/40320, 
 H[0, 1, 0, 1, -1, 1, 0, 1] -> (-38400*ln2*s6 + 38400*s7a + 38400*s7b + 
    215040*li5half*z2 + 53760*li4half*ln2*z2 + 448*ln2^5*z2 + 
    4480*ln2^3*z2^2 + 52944*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 
    26880*ln2^2*z2*z3 - 67320*z2^2*z3 + 48000*ln2*z3^2 - 240480*z2*z5 + 
    179475*z7)/26880, H[0, 1, 0, 1, -1, 1, -1, 1] -> 
  (-645120*li7half - 80640*li6half*ln2 - 13440*li4half*ln2^3 - 544*ln2^7 + 
    78480*ln2*s6 - 144000*s7a + 218880*s7b - 80640*li5half*z2 - 
    80640*li4half*ln2*z2 - 336*ln2^5*z2 - 14448*ln2^3*z2^2 - 26460*ln2*z2^3 + 
    60480*li4half*z3 + 2520*ln2^4*z3 - 22680*ln2^2*z2*z3 - 90270*z2^2*z3 - 
    139995*ln2*z3^2 - 351540*ln2^2*z5 - 557280*z2*z5 + 1676790*z7)/20160, 
 H[0, 1, 0, 1, -1, 0, 1, 1] -> (38400*ln2*s6 - 38400*s7a - 38400*s7b + 
    430080*li5half*z2 + 215040*li4half*ln2*z2 + 5376*ln2^5*z2 - 
    17920*ln2^3*z2^2 + 61632*ln2*z2^3 - 134400*li4half*z3 - 5600*ln2^4*z3 + 
    33600*ln2^2*z2*z3 + 10032*z2^2*z3 - 48000*ln2*z3^2 + 252240*z2*z5 - 
    1036695*z7)/53760, H[0, 1, 0, 1, -1, 0, 0, 1] -> 
  (38400*ln2*s6 - 38400*s7a - 38400*s7b + 10560*ln2*z2^3 - 
    134400*li4half*z3 - 5600*ln2^4*z3 + 33600*ln2^2*z2*z3 + 42288*z2^2*z3 - 
    48000*ln2*z3^2 - 3960*z2*z5 - 71955*z7)/26880, 
 H[0, 1, 0, 1, -1, 0, -1, 1] -> (38400*ln2*s6 + 15360*s7a - 92160*s7b + 
    376320*li5half*z2 + 188160*li4half*ln2*z2 + 4704*ln2^5*z2 - 
    15680*ln2^3*z2^2 + 29544*ln2*z2^3 - 120960*li4half*z3 - 5040*ln2^4*z3 + 
    30240*ln2^2*z2*z3 + 71268*z2^2*z3 - 6840*ln2*z3^2 + 104160*ln2^2*z5 - 
    93000*z2*z5 - 486705*z7)/13440, H[0, 1, 0, 1, -1, -1, 1, 1] -> 
  (2580480*li7half - 645120*li5half*ln2^2 - 215040*li4half*ln2^3 - 
    4096*ln2^7 + 1152000*ln2*s6 - 1152000*s7a - 1555200*s7b + 
    645120*li5half*z2 + 1935360*li4half*ln2*z2 + 86016*ln2^5*z2 - 
    430080*ln2^3*z2^2 - 146592*ln2*z2^3 - 1935360*li4half*z3 - 
    80640*ln2^4*z3 + 1814400*ln2^2*z2*z3 + 1408752*z2^2*z3 - 
    1440000*ln2*z3^2 + 234360*ln2^2*z5 + 6350040*z2*z5 - 16694955*z7)/322560, 
 H[0, 1, 0, 1, -1, -1, 0, 1] -> (-23040*ln2*s6 + 23040*s7a + 23040*s7b - 
    23040*li5half*z2 - 7680*li4half*ln2*z2 - 128*ln2^5*z2 - 336*ln2*z2^3 + 
    40320*li4half*z3 + 1680*ln2^4*z3 - 10080*ln2^2*z2*z3 - 28524*z2^2*z3 + 
    28800*ln2*z3^2 - 66180*z2*z5 + 197865*z7)/3840, 
 H[0, 1, 0, 1, -1, -1, -1, 1] -> (322560*li7half + 161280*li6half*ln2 + 
    80640*li5half*ln2^2 + 26880*li4half*ln2^3 + 608*ln2^7 - 2880*ln2*s6 + 
    43200*s7a - 138240*s7b + 282240*li5half*z2 + 60480*li4half*ln2*z2 - 
    1848*ln2^5*z2 + 22344*ln2^3*z2^2 + 47736*ln2*z2^3 - 60480*li4half*z3 - 
    2520*ln2^4*z3 - 64260*ln2^2*z2*z3 + 59148*z2^2*z3 + 111645*ln2*z3^2 + 
    195300*ln2^2*z5 + 61470*z2*z5 - 895275*z7)/40320, 
 H[0, 1, 0, 0, 1, 1, 1, 1] -> (-12*z2^2*z3 + 20*z2*z5 + 5*z7)/8, 
 H[0, 1, 0, 0, 1, 1, 0, 1] -> (24*z2^2*z3 - 8*z2*z5 - 67*z7)/16, 
 H[0, 1, 0, 0, 1, 1, -1, 1] -> (80640*s7a + 53760*s7b - 161280*li5half*z2 - 
    161280*li4half*ln2*z2 - 5376*ln2^5*z2 + 26880*ln2^3*z2^2 + 
    26784*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 147840*ln2^2*z2*z3 - 
    45528*z2^2*z3 + 11760*ln2*z3^2 + 26040*ln2^2*z5 + 22260*z2*z5 + 
    301875*z7)/53760, H[0, 1, 0, 0, 1, 0, 1, 1] -> (-44*z2*z5 + 75*z7)/8, 
 H[0, 1, 0, 0, 1, 0, 0, 1] -> (-3*(4*z2^2*z3 - 10*z2*z5 - 5*z7))/5, 
 H[0, 1, 0, 0, 1, 0, -1, 1] -> (1280*ln2*s6 - 1280*s7a - 1280*s7b - 
    224*ln2*z2^3 + 60*z2^2*z3 + 360*ln2*z3^2 + 4435*z2*z5 - 8120*z7)/320, 
 H[0, 1, 0, 0, 1, -1, 1, 1] -> (-3840*ln2*s6 + 3840*s7a - 27520*s7b - 
    3072*ln2*z2^3 + 16800*ln2^2*z2*z3 + 13400*z2^2*z3 + 4800*ln2*z3^2 + 
    17360*ln2^2*z5 + 29040*z2*z5 - 77725*z7)/8960, 
 H[0, 1, 0, 0, 1, -1, 0, 1] -> (-2560*ln2*s6 + 2560*s7a + 2560*s7b - 
    2720*ln2*z2^3 - 2248*z2^2*z3 + 3200*ln2*z3^2 - 548*z2*z5 + 14569*z7)/
   1792, H[0, 1, 0, 0, 1, -1, -1, 1] -> 
  (27840*ln2*s6 - 61440*s7a + 19200*s7b - 80640*li5half*z2 - 
    40320*li4half*ln2*z2 - 1008*ln2^5*z2 + 3360*ln2^3*z2^2 - 3432*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 19320*ln2^2*z2*z3 - 23706*z2^2*z3 - 
    3930*ln2*z3^2 - 58590*ln2^2*z5 + 42720*z2*z5 + 40125*z7)/13440, 
 H[0, 1, 0, 0, 0, 1, 1, 1] -> (-8*z2^2*z3 + 80*z2*z5 - 109*z7)/16, 
 H[0, 1, 0, 0, 0, 1, 0, 1] -> (4*(3*z2^2*z3 - 5*z2*z5 - 5*z7))/5, 
 H[0, 1, 0, 0, 0, 1, -1, 1] -> (-12800*ln2*s6 - 23040*s7a + 48640*s7b + 
    23840*ln2*z2^3 - 3624*z2^2*z3 - 42800*ln2*z3^2 - 69440*ln2^2*z5 - 
    158280*z2*z5 + 220825*z7)/8960, H[0, 1, 0, 0, 0, 0, 1, 1] -> 
  (-2*(2*z2^2*z3 + 10*z2*z5 - 25*z7))/5, H[0, 1, 0, 0, 0, 0, 0, 1] -> -6*z7, 
 H[0, 1, 0, 0, 0, 0, -1, 1] -> (-224*z2^2*z3 - 190*z2*z5 + 1245*z7)/320, 
 H[0, 1, 0, 0, 0, -1, 1, 1] -> (-25600*ln2*s6 + 25600*s7a - 10240*s7b - 
    17120*ln2*z2^3 - 8928*z2^2*z3 + 32000*ln2*z3^2 + 69440*ln2^2*z5 + 
    38480*z2*z5 + 2225*z7)/8960, H[0, 1, 0, 0, 0, -1, 0, 1] -> 
  (672*z2^2*z3 + 40*z2*z5 - 3165*z7)/320, H[0, 1, 0, 0, 0, -1, -1, 1] -> 
  (5120*s7a + 352*z2^2*z3 + 180*z2*z5 + 3425*z7)/1280, 
 H[0, 1, 0, 0, -1, 1, 1, 1] -> (30720*ln2*s6 - 30720*s7a + 103680*s7b - 
    9696*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 - 23520*ln2^2*z2*z3 - 
    54336*z2^2*z3 - 38400*ln2*z3^2 - 130200*ln2^2*z5 + 77640*z2*z5 + 
    110415*z7)/53760, H[0, 1, 0, 0, -1, 1, 0, 1] -> 
  (2560*ln2*s6 - 2560*s7a - 2560*s7b + 2720*ln2*z2^3 + 3368*z2^2*z3 - 
    3200*ln2*z3^2 - 264*z2*z5 - 17341*z7)/1792, 
 H[0, 1, 0, 0, -1, 1, -1, 1] -> (-15680*ln2*s6 + 8960*s7a + 872*ln2*z2^3 + 
    8400*ln2^2*z2*z3 + 3192*z2^2*z3 - 1470*ln2*z3^2 + 8680*ln2^2*z5 - 
    7070*z2*z5 + 7385*z7)/4480, H[0, 1, 0, 0, -1, 0, 1, 1] -> 
  (372*z2^2*z3 - 5780*z2*z5 + 8605*z7)/640, H[0, 1, 0, 0, -1, 0, 0, 1] -> 
  (-3*(11*z2^2*z3 - 150*z2*z5 + 80*z7))/80, H[0, 1, 0, 0, -1, 0, -1, 1] -> 
  (2560*ln2*s6 - 2560*s7a - 2560*s7b - 448*ln2*z2^3 + 288*z2^2*z3 + 
    720*ln2*z3^2 + 8668*z2*z5 - 16445*z7)/896, 
 H[0, 1, 0, 0, -1, -1, 1, 1] -> (-42240*ln2*s6 + 42240*s7a + 42240*s7b - 
    40320*li4half*ln2*z2 - 1680*ln2^5*z2 + 10080*ln2^3*z2^2 + 
    11568*ln2*z2^3 + 43680*li4half*z3 + 1820*ln2^4*z3 - 58800*ln2^2*z2*z3 - 
    39948*z2^2*z3 + 52800*ln2*z3^2 + 32550*ln2^2*z5 - 188130*z2*z5 + 
    411675*z7)/13440, H[0, 1, 0, 0, -1, -1, 0, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b - 2688*ln2*z2^3 - 26880*li4half*z3 - 
    1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 19632*z2^2*z3 - 19200*ln2*z3^2 + 
    59940*z2*z5 - 136575*z7)/3840, H[0, 1, 0, 0, -1, -1, -1, 1] -> 
  (65280*ln2*s6 + 1920*s7a - 65280*s7b + 80640*li5half*z2 + 
    80640*li4half*ln2*z2 + 2688*ln2^5*z2 - 13440*ln2^3*z2^2 - 
    11424*ln2*z2^3 - 47040*li4half*z3 - 1960*ln2^4*z3 + 47040*ln2^2*z2*z3 + 
    34056*z2^2*z3 - 22800*ln2*z3^2 + 159840*z2*z5 - 415935*z7)/26880, 
 H[0, 1, 0, -1, 1, 1, 1, 1] -> (-645120*li7half + 128*ln2^7 - 351360*ln2*s6 + 
    351360*s7a + 230400*s7b + 967680*li5half*z2 - 10752*ln2^5*z2 + 
    24864*ln2^3*z2^2 + 210240*ln2*z2^3 + 483840*li4half*z3 + 43680*ln2^4*z3 - 
    262080*ln2^2*z2*z3 - 461376*z2^2*z3 + 439200*ln2*z3^2 + 117180*ln2^2*z5 - 
    620100*z2*z5 + 1171665*z7)/161280, H[0, 1, 0, -1, 1, 1, 0, 1] -> 
  (230400*ln2*s6 - 230400*s7a - 230400*s7b - 215040*li5half*z2 + 
    1792*ln2^5*z2 - 17920*ln2^3*z2^2 - 148992*ln2*z2^3 - 645120*li4half*z3 - 
    26880*ln2^4*z3 + 208320*ln2^2*z2*z3 + 373176*z2^2*z3 - 311520*ln2*z3^2 + 
    759960*z2*z5 - 1462305*z7)/53760, H[0, 1, 0, -1, 1, 1, -1, 1] -> 
  (-3870720*li7half - 1290240*li6half*ln2 - 1024*ln2^7 + 1532160*ln2*s6 - 
    806400*s7a + 80640*s7b + 806400*li5half*z2 + 1935360*li4half*ln2*z2 + 
    84672*ln2^5*z2 - 416640*ln2^3*z2^2 - 664416*ln2*z2^3 - 
    1290240*li4half*z3 - 100800*ln2^4*z3 + 756000*ln2^2*z2*z3 + 
    586656*z2^2*z3 - 1685880*ln2*z3^2 - 859320*ln2^2*z5 - 1212120*z2*z5 + 
    3441375*z7)/322560, H[0, 1, 0, -1, 1, 0, 1, 1] -> 
  (34560*ln2*s6 - 34560*s7a - 34560*s7b - 107520*li5half*z2 + 896*ln2^5*z2 - 
    8960*ln2^3*z2^2 - 40224*ln2*z2^3 + 47040*ln2^2*z2*z3 + 24888*z2^2*z3 - 
    19680*ln2*z3^2 - 50100*z2*z5 + 179355*z7)/26880, 
 H[0, 1, 0, -1, 1, 0, 0, 1] -> (-38400*ln2*s6 + 38400*s7a + 38400*s7b - 
    10560*ln2*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 - 53760*ln2^2*z2*z3 - 
    69336*z2^2*z3 + 118560*ln2*z3^2 + 30840*z2*z5 + 33315*z7)/26880, 
 H[0, 1, 0, -1, 1, 0, -1, 1] -> (15360*ln2*s6 - 69120*s7a + 38400*s7b - 
    349440*li5half*z2 - 161280*li4half*ln2*z2 - 3808*ln2^5*z2 + 
    11200*ln2^3*z2^2 - 38952*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 
    15120*ln2^2*z2*z3 - 58416*z2^2*z3 + 10200*ln2*z3^2 - 104160*ln2^2*z5 + 
    255645*z2*z5 + 123615*z7)/13440, H[0, 1, 0, -1, 1, -1, 1, 1] -> 
  (80640*li7half - 5760*li5half*ln2^2 + 32*ln2^7 - 32400*ln2*s6 + 32400*s7a - 
    10080*s7b - 17280*li5half*z2 - 17280*li4half*ln2*z2 - 720*ln2^5*z2 + 
    6864*ln2^3*z2^2 + 7488*ln2*z2^3 + 18720*li4half*z3 + 360*ln2^4*z3 - 
    16200*ln2^2*z2*z3 - 6300*z2^2*z3 + 37980*ln2*z3^2 + 50220*ln2^2*z5 + 
    25110*z2*z5 - 61335*z7)/2880, H[0, 1, 0, -1, 1, -1, 0, 1] -> 
  (58880*ln2*s6 - 58880*s7a - 58880*s7b + 53760*li5half*z2 - 448*ln2^5*z2 + 
    4480*ln2^3*z2^2 + 5104*ln2*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 + 
    5600*ln2^2*z2*z3 + 51144*z2^2*z3 - 42240*ln2*z3^2 + 174290*z2*z5 - 
    489255*z7)/8960, H[0, 1, 0, -1, 1, -1, -1, 1] -> 
  (-1935360*li7half + 645120*li6half*ln2 + 322560*li5half*ln2^2 - 
    1408*ln2^7 + 1255680*ln2*s6 - 1336320*s7a + 599040*s7b - 
    1693440*li5half*z2 - 725760*li4half*ln2*z2 - 10752*ln2^5*z2 - 
    127008*ln2^3*z2^2 - 366912*ln2*z2^3 + 564480*li4half*z3 + 
    47040*ln2^4*z3 + 110880*ln2^2*z2*z3 - 477144*z2^2*z3 - 775800*ln2*z3^2 - 
    2382660*ln2^2*z5 + 489420*z2*z5 + 3197025*z7)/161280, 
 H[0, 1, 0, -1, 0, 1, 1, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b - 
    2688*ln2*z2^3 - 30720*li4half*z3 - 1280*ln2^4*z3 + 7680*ln2^2*z2*z3 + 
    24360*z2^2*z3 - 22560*ln2*z3^2 + 28320*z2*z5 - 92985*z7)/7680, 
 H[0, 1, 0, -1, 0, 1, 0, 1] -> (-3840*ln2*s6 + 3840*s7a + 3840*s7b + 
    672*ln2*z2^3 + 3840*li4half*z3 + 160*ln2^4*z3 - 960*ln2^2*z2*z3 - 
    2724*z2^2*z3 + 2280*ln2*z3^2 - 12240*z2*z5 + 25845*z7)/480, 
 H[0, 1, 0, -1, 0, 1, -1, 1] -> (-58880*ln2*s6 + 58880*s7a + 58880*s7b + 
    107520*li5half*z2 - 896*ln2^5*z2 + 8960*ln2^3*z2^2 + 43136*ln2*z2^3 - 
    47040*ln2^2*z2*z3 - 14520*z2^2*z3 + 12840*ln2*z3^2 - 300080*z2*z5 + 
    392655*z7)/8960, H[0, 1, 0, -1, 0, 0, 1, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b - 2688*ln2*z2^3 - 15360*li4half*z3 - 
    640*ln2^4*z3 + 3840*ln2^2*z2*z3 + 8808*z2^2*z3 - 9120*ln2*z3^2 + 
    73440*z2*z5 - 138285*z7)/3840, H[0, 1, 0, -1, 0, 0, 0, 1] -> 
  (-184*z2^2*z3 - 1200*z2*z5 + 1245*z7)/320, H[0, 1, 0, -1, 0, 0, -1, 1] -> 
  (23040*ln2*s6 - 23040*s7a - 23040*s7b - 4032*ln2*z2^3 - 26880*li4half*z3 - 
    1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 16928*z2^2*z3 - 17040*ln2*z3^2 + 
    70060*z2*z5 - 146535*z7)/8960, H[0, 1, 0, -1, 0, -1, 1, 1] -> 
  (318720*ln2*s6 - 318720*s7a - 318720*s7b + 322560*li4half*ln2*z2 + 
    13440*ln2^5*z2 - 80640*ln2^3*z2^2 - 154272*ln2*z2^3 - 349440*li4half*z3 - 
    14560*ln2^4*z3 + 369600*ln2^2*z2*z3 + 264336*z2^2*z3 - 304320*ln2*z3^2 + 
    1125240*z2*z5 - 2422725*z7)/26880, H[0, 1, 0, -1, 0, -1, 0, 1] -> 
  (-15360*ln2*s6 + 15360*s7a + 15360*s7b + 2688*ln2*z2^3 + 19200*li4half*z3 + 
    800*ln2^4*z3 - 4800*ln2^2*z2*z3 - 13776*z2^2*z3 + 12480*ln2*z3^2 - 
    50640*z2*z5 + 110955*z7)/960, H[0, 1, 0, -1, 0, -1, -1, 1] -> 
  (-47360*ln2*s6 + 47360*s7a + 47360*s7b - 53760*li5half*z2 - 
    53760*li4half*ln2*z2 - 1792*ln2^5*z2 + 8960*ln2^3*z2^2 + 8288*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 30240*ln2^2*z2*z3 - 17872*z2^2*z3 + 
    10200*ln2*z3^2 - 122670*z2*z5 + 338375*z7)/8960, 
 H[0, 1, 0, -1, -1, 1, 1, 1] -> (-3870720*li7half - 215040*li4half*ln2^3 - 
    8192*ln2^7 + 956160*ln2*s6 - 956160*s7a + 11520*s7b + 
    2580480*li5half*z2 + 645120*li4half*ln2*z2 + 43008*ln2^5*z2 - 
    169344*ln2^3*z2^2 - 91296*ln2*z2^3 - 1128960*li4half*z3 - 
    94080*ln2^4*z3 + 433440*ln2^2*z2*z3 + 456336*z2^2*z3 - 1054080*ln2*z3^2 - 
    937440*ln2^2*z5 - 1888560*z2*z5 + 1849185*z7)/322560, 
 H[0, 1, 0, -1, -1, 1, 0, 1] -> (-122880*ln2*s6 + 122880*s7a + 122880*s7b - 
    107520*li5half*z2 - 53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 
    4480*ln2^3*z2^2 + 5856*ln2*z2^3 - 23520*ln2^2*z2*z3 - 31296*z2^2*z3 + 
    720*ln2*z3^2 - 337440*z2*z5 + 865695*z7)/26880, 
 H[0, 1, 0, -1, -1, 1, -1, 1] -> (4515840*li7half + 645120*li6half*ln2 + 
    107520*li4half*ln2^3 + 4480*ln2^7 - 1457280*ln2*s6 + 1981440*s7a - 
    599040*s7b + 725760*li5half*z2 + 403200*li4half*ln2*z2 - 10752*ln2^5*z2 + 
    127008*ln2^3*z2^2 + 429696*ln2*z2^3 - 322560*li4half*z3 + 
    10080*ln2^4*z3 - 70560*ln2^2*z2*z3 + 416664*z2^2*z3 + 895500*ln2*z3^2 + 
    2499840*ln2^2*z5 + 634500*z2*z5 - 5559525*z7)/161280, 
 H[0, 1, 0, -1, -1, 0, 1, 1] -> (-7680*li5half*z2 - 7680*li4half*ln2*z2 - 
    256*ln2^5*z2 + 1280*ln2^3*z2^2 + 4800*li4half*z3 + 200*ln2^4*z3 - 
    4560*ln2^2*z2*z3 - 2544*z2^2*z3 + 4200*ln2*z3^2 + 6180*z2*z5 + 4665*z7)/
   1920, H[0, 1, 0, -1, -1, 0, 0, 1] -> 
  (5120*ln2*s6 - 5120*s7a - 5120*s7b - 896*ln2*z2^3 - 3840*li4half*z3 - 
    160*ln2^4*z3 + 960*ln2^2*z2*z3 + 3592*z2^2*z3 - 1920*ln2*z3^2 + 
    16880*z2*z5 - 36705*z7)/1280, H[0, 1, 0, -1, -1, 0, -1, 1] -> 
  (71040*ln2*s6 - 71040*s7a - 71040*s7b - 26880*li5half*z2 - 
    26880*li4half*ln2*z2 - 896*ln2^5*z2 + 4480*ln2^3*z2^2 - 12432*ln2*z2^3 + 
    13440*li4half*z3 + 560*ln2^4*z3 - 15120*ln2^2*z2*z3 + 2280*z2^2*z3 + 
    31740*ln2*z3^2 + 273045*z2*z5 - 465405*z7)/13440, 
 H[0, 1, 0, -1, -1, -1, 1, 1] -> (-483840*li7half + 80640*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 544*ln2^7 + 231840*ln2*s6 - 231840*s7a - 
    40320*s7b + 60480*li4half*ln2*z2 + 504*ln2^5*z2 - 29064*ln2^3*z2^2 - 
    94680*ln2*z2^3 - 85680*li4half*z3 + 2310*ln2^4*z3 + 93240*ln2^2*z2*z3 + 
    46872*z2^2*z3 - 166320*ln2*z3^2 - 224595*ln2^2*z5 + 184275*z2*z5 - 
    60795*z7)/40320, H[0, 1, 0, -1, -1, -1, 0, 1] -> 
  (-15360*ln2*s6 + 15360*s7a + 15360*s7b + 7680*li5half*z2 + 
    7680*li4half*ln2*z2 + 256*ln2^5*z2 - 1280*ln2^3*z2^2 + 2688*ln2*z2^3 + 
    11520*li4half*z3 + 480*ln2^4*z3 + 480*ln2^2*z2*z3 - 9912*z2^2*z3 + 
    5760*ln2*z3^2 - 55920*z2*z5 + 104325*z7)/3840, 
 H[0, 1, 0, -1, -1, -1, -1, 1] -> (-645120*li7half - 645120*li6half*ln2 - 
    322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 2560*ln2^7 - 80640*ln2*s6 - 
    80640*s7a + 80640*s7b - 241920*li5half*z2 - 241920*li4half*ln2*z2 + 
    2688*ln2^5*z2 + 40320*ln2^3*z2^2 + 14112*ln2*z2^3 + 141120*li4half*z3 - 
    17640*ln2^4*z3 - 141120*ln2^2*z2*z3 - 91224*z2^2*z3 + 100800*ln2*z3^2 - 
    12600*z2*z5 + 1066275*z7)/161280, H[0, 1, -1, 1, 1, 1, 1, 1] -> 
  (-645120*li7half + 128*ln2^7 - 51840*ln2*s6 + 51840*s7a + 38400*s7b + 
    268800*li5half*z2 - 1568*ln2^5*z2 + 6944*ln2^3*z2^2 + 3648*ln2*z2^3 + 
    161280*li4half*z3 + 6720*ln2^4*z3 - 40320*ln2^2*z2*z3 - 33888*z2^2*z3 + 
    64800*ln2*z3^2 + 13020*ln2^2*z5 - 112380*z2*z5 + 292455*z7)/53760, 
 H[0, 1, -1, 1, 1, 1, 0, 1] -> (1290240*li7half - 256*ln2^7 + 5760*ln2*s6 - 
    5760*s7a - 207360*s7b - 161280*li5half*z2 - 120960*li4half*ln2*z2 + 
    1680*ln2^5*z2 + 27552*ln2^3*z2^2 + 42048*ln2*z2^3 - 564480*li4half*z3 - 
    23520*ln2^4*z3 + 20160*ln2^2*z2*z3 + 180576*z2^2*z3 - 7200*ln2*z3^2 + 
    195300*ln2^2*z5 + 612900*z2*z5 - 1766745*z7)/80640, 
 H[0, 1, -1, 1, 1, 1, -1, 1] -> (1720320*li7half + 107520*li6half*ln2 - 
    192*ln2^7 + 61440*ln2*s6 + 207360*s7a - 357120*s7b + 
    322560*li4half*ln2*z2 + 10304*ln2^5*z2 - 48832*ln2^3*z2^2 + 
    25824*ln2*z2^3 - 215040*li4half*z3 - 8960*ln2^4*z3 + 53760*ln2^2*z2*z3 + 
    145680*z2^2*z3 + 240720*ln2*z3^2 + 546840*ln2^2*z5 + 942360*z2*z5 - 
    3089505*z7)/107520, H[0, 1, -1, 1, 1, 0, 1, 1] -> 
  (576000*ln2*s6 - 576000*s7a - 65280*s7b - 860160*li5half*z2 + 
    483840*li4half*ln2*z2 + 27328*ln2^5*z2 - 172480*ln2^3*z2^2 - 
    314016*ln2*z2^3 - 322560*li4half*z3 - 13440*ln2^4*z3 + 
    544320*ln2^2*z2*z3 + 301680*z2^2*z3 - 720000*ln2*z3^2 - 494760*ln2^2*z5 + 
    137160*z2*z5 + 116835*z7)/107520, H[0, 1, -1, 1, 1, 0, 0, 1] -> 
  (-272640*ln2*s6 + 272640*s7a - 130560*s7b - 107520*li5half*z2 - 
    161280*li4half*ln2*z2 - 5824*ln2^5*z2 + 91840*ln2^3*z2^2 - 
    13824*ln2*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 - 134400*ln2^2*z2*z3 + 
    117336*z2^2*z3 + 340800*ln2*z3^2 + 390600*ln2^2*z5 + 522960*z2*z5 - 
    1073265*z7)/53760, H[0, 1, -1, 1, 1, 0, -1, 1] -> 
  (3440640*li7half + 860160*li6half*ln2 + 512*ln2^7 - 495360*ln2*s6 + 
    683520*s7a - 633600*s7b - 376320*li5half*z2 - 161280*li4half*ln2*z2 - 
    7168*ln2^5*z2 + 69888*ln2^3*z2^2 + 185952*ln2*z2^3 + 107520*li4half*z3 + 
    4480*ln2^4*z3 + 6720*ln2^2*z2*z3 + 173312*z2^2*z3 + 619200*ln2*z3^2 + 
    1275960*ln2^2*z5 + 2236400*z2*z5 - 6265775*z7)/35840, 
 H[0, 1, -1, 1, 1, -1, 1, 1] -> (322560*li7half + 53760*li5half*ln2^2 - 
    512*ln2^7 - 276480*ln2*s6 + 276480*s7a - 234240*s7b - 53760*li5half*z2 + 
    6272*ln2^5*z2 + 896*ln2^3*z2^2 - 70368*ln2*z2^3 + 201600*li4half*z3 + 
    8400*ln2^4*z3 - 50400*ln2^2*z2*z3 - 8256*z2^2*z3 + 345600*ln2*z3^2 + 
    885360*ln2^2*z5 + 313440*z2*z5 - 590955*z7)/107520, 
 H[0, 1, -1, 1, 1, -1, 0, 1] -> (-1290240*li7half + 256*ln2^7 + 
    399360*ln2*s6 - 399360*s7a - 49920*s7b - 53760*li5half*z2 - 
    322560*li4half*ln2*z2 - 18368*ln2^5*z2 + 85568*ln2^3*z2^2 - 
    45216*ln2*z2^3 - 268800*li4half*z3 - 11200*ln2^4*z3 - 
    194880*ln2^2*z2*z3 + 261984*z2^2*z3 - 499200*ln2*z3^2 - 338520*ln2^2*z5 + 
    581760*z2*z5 - 473295*z7)/107520, H[0, 1, -1, 1, 1, -1, -1, 1] -> 
  (-2741760*li7half - 483840*li6half*ln2 - 80640*li5half*ln2^2 + 544*ln2^7 + 
    109440*ln2*s6 - 593280*s7a + 1463040*s7b - 241920*li5half*z2 - 
    4032*ln2^5*z2 - 75264*ln2^3*z2^2 + 52416*ln2*z2^3 + 60480*li4half*z3 + 
    2520*ln2^4*z3 + 287280*ln2^2*z2*z3 - 392904*z2^2*z3 - 1142280*ln2*z3^2 - 
    2577960*ln2^2*z5 - 3904560*z2*z5 + 9504945*z7)/161280, 
 H[0, 1, -1, 1, 0, 1, 1, 1] -> (11520*ln2*s6 - 11520*s7a + 42240*s7b - 
    61440*li5half*z2 - 34560*li4half*ln2*z2 - 928*ln2^5*z2 + 
    3520*ln2^3*z2^2 - 3360*ln2*z2^3 - 23040*li4half*z3 - 960*ln2^4*z3 - 
    25920*ln2^2*z2*z3 - 8784*z2^2*z3 - 14400*ln2*z3^2 - 52080*ln2^2*z5 - 
    102120*z2*z5 + 296835*z7)/7680, H[0, 1, -1, 1, 0, 1, 0, 1] -> 
  (-38400*ln2*s6 + 38400*s7a + 38400*s7b + 215040*li5half*z2 + 
    161280*li4half*ln2*z2 + 4928*ln2^5*z2 - 22400*ln2^3*z2^2 + 
    65712*ln2*z2^3 + 268800*li4half*z3 + 11200*ln2^4*z3 + 13440*ln2^2*z2*z3 - 
    102936*z2^2*z3 + 48000*ln2*z3^2 - 303480*z2*z5 + 179475*z7)/26880, 
 H[0, 1, -1, 1, 0, 1, -1, 1] -> (-322560*li7half - 80640*li6half*ln2 - 
    48*ln2^7 + 25920*ln2*s6 - 69600*s7a + 88320*s7b + 20160*li5half*z2 + 
    2520*li4half*ln2*z2 + 273*ln2^5*z2 - 5292*ln2^3*z2^2 - 8883*ln2*z2^3 - 
    1680*li4half*z3 - 70*ln2^4*z3 + 2940*ln2^2*z2*z3 - 24342*z2^2*z3 - 
    70620*ln2*z3^2 - 152985*ln2^2*z5 - 283695*z2*z5 + 731100*z7)/1680, 
 H[0, 1, -1, 1, 0, 0, 1, 1] -> (-149760*ln2*s6 + 149760*s7a - 387840*s7b + 
    430080*li5half*z2 - 3584*ln2^5*z2 + 35840*ln2^3*z2^2 - 5568*ln2*z2^3 - 
    161280*li4half*z3 - 6720*ln2^4*z3 + 100800*ln2^2*z2*z3 + 165936*z2^2*z3 + 
    187200*ln2*z3^2 + 520800*ln2^2*z5 + 1295520*z2*z5 - 2892045*z7)/53760, 
 H[0, 1, -1, 1, 0, 0, 0, 1] -> (23040*ln2*s6 - 23040*s7a + 48640*s7b - 
    1056*ln2*z2^3 - 29272*z2^2*z3 - 28800*ln2*z3^2 - 69440*ln2^2*z5 - 
    163040*z2*z5 + 345285*z7)/8960, H[0, 1, -1, 1, 0, 0, -1, 1] -> 
  (23040*ln2*s6 + 111360*s7a - 184320*s7b + 53760*li5half*z2 - 448*ln2^5*z2 + 
    4480*ln2^3*z2^2 - 51096*ln2*z2^3 - 30240*li4half*z3 - 1260*ln2^4*z3 - 
    7560*ln2^2*z2*z3 + 58116*z2^2*z3 + 112320*ln2*z3^2 + 286440*ln2^2*z5 + 
    512460*z2*z5 - 894975*z7)/13440, H[0, 1, -1, 1, 0, -1, 1, 1] -> 
  (10321920*li7half - 860160*li5half*ln2^2 + 5120*ln2^7 - 1747200*ln2*s6 + 
    1747200*s7a - 2607360*s7b - 1720320*li5half*z2 - 161280*li4half*ln2*z2 - 
    21056*ln2^5*z2 + 302848*ln2^3*z2^2 + 454752*ln2*z2^3 - 94080*li4half*z3 - 
    3920*ln2^4*z3 + 184800*ln2^2*z2*z3 + 811776*z2^2*z3 + 2184000*ln2*z3^2 + 
    4635120*ln2^2*z5 + 10328640*z2*z5 - 24231585*z7)/107520, 
 H[0, 1, -1, 1, 0, -1, 0, 1] -> (-38400*ln2*s6 + 38400*s7a + 253440*s7b + 
    161280*li4half*ln2*z2 + 6720*ln2^5*z2 - 40320*ln2^3*z2^2 + 
    10608*ln2*z2^3 + 228480*li4half*z3 + 9520*ln2^4*z3 + 3360*ln2^2*z2*z3 - 
    207432*z2^2*z3 + 48000*ln2*z3^2 - 208320*ln2^2*z5 - 925080*z2*z5 + 
    1849395*z7)/26880, H[0, 1, -1, 1, 0, -1, -1, 1] -> 
  (2580480*li7half + 1290240*li6half*ln2 + 215040*li5half*ln2^2 - 512*ln2^7 + 
    134400*ln2*s6 + 564480*s7a - 846720*s7b + 13440*li5half*z2 + 
    1680*ln2^5*z2 + 1120*ln2^3*z2^2 - 11904*ln2*z2^3 - 10080*li4half*z3 - 
    420*ln2^4*z3 - 55440*ln2^2*z2*z3 + 237552*z2^2*z3 + 536130*ln2*z3^2 + 
    1262940*ln2^2*z5 + 2469390*z2*z5 - 6494775*z7)/26880, 
 H[0, 1, -1, 1, -1, 1, 1, 1] -> (107520*li7half - 4480*li4half*ln2^3 - 
    208*ln2^7 - 22080*ln2*s6 + 22080*s7a + 28800*s7b - 26880*li5half*z2 - 
    26880*li4half*ln2*z2 - 1008*ln2^5*z2 + 8960*ln2^3*z2^2 + 19392*ln2*z2^3 + 
    3360*li4half*z3 + 140*ln2^4*z3 - 41160*ln2^2*z2*z3 - 17268*z2^2*z3 + 
    27600*ln2*z3^2 - 6510*ln2^2*z5 - 97830*z2*z5 + 158345*z7)/8960, 
 H[0, 1, -1, 1, -1, 1, 0, 1] -> (-645120*li7half + 128*ln2^7 + 80640*ln2*s6 - 
    80640*s7a + 80640*s7b - 30240*li4half*ln2*z2 - 3948*ln2^5*z2 - 
    7896*ln2^3*z2^2 - 60300*ln2*z2^3 + 60480*li4half*z3 + 2520*ln2^4*z3 + 
    15120*ln2^2*z2*z3 - 31500*z2^2*z3 - 100800*ln2*z3^2 - 156240*ln2^2*z5 - 
    221760*z2*z5 + 919485*z7)/20160, H[0, 1, -1, 1, -1, 1, -1, 1] -> 
  (6720*li6half*ln2 + 1120*li4half*ln2^3 + 56*ln2^7 - 1680*ln2*s6 - 
    3360*li4half*ln2*z2 - 112*ln2^5*z2 + 56*ln2^3*z2^2 + 180*ln2*z2^3 + 
    1680*li4half*z3 + 70*ln2^4*z3 + 1260*ln2^2*z2*z3 - 294*z2^2*z3 - 
    105*ln2*z3^2 + 630*z2*z5 - 2240*z7)/2240, H[0, 1, -1, 1, -1, 0, 1, 1] -> 
  (-96000*ln2*s6 + 96000*s7a - 979200*s7b + 860160*li5half*z2 + 
    322560*li4half*ln2*z2 + 6272*ln2^5*z2 - 35840*ln2^3*z2^2 - 
    92256*ln2*z2^3 - 228480*li4half*z3 - 9520*ln2^4*z3 + 581280*ln2^2*z2*z3 + 
    444480*z2^2*z3 + 120000*ln2*z3^2 + 1041600*ln2^2*z5 + 2896560*z2*z5 - 
    6804345*z7)/107520, H[0, 1, -1, 1, -1, 0, 0, 1] -> 
  (7040*ln2*s6 - 7040*s7a + 15360*s7b - 3360*ln2^3*z2^2 + 2524*ln2*z2^3 - 
    5040*li4half*z3 - 210*ln2^4*z3 - 1260*ln2^2*z2*z3 - 5718*z2^2*z3 - 
    8800*ln2*z3^2 - 21700*ln2^2*z5 - 50020*z2*z5 + 95345*z7)/2240, 
 H[0, 1, -1, 1, -1, 0, -1, 1] -> (-430080*li7half - 107520*li6half*ln2 - 
    64*ln2^7 + 50880*ln2*s6 - 77760*s7a + 90240*s7b + 26880*li5half*z2 + 
    15120*li4half*ln2*z2 + 854*ln2^5*z2 - 9156*ln2^3*z2^2 - 24894*ln2*z2^3 - 
    10920*li4half*z3 - 455*ln2^4*z3 + 3990*ln2^2*z2*z3 - 21975*z2^2*z3 - 
    84180*ln2*z3^2 - 162750*ln2^2*z5 - 295950*z2*z5 + 842895*z7)/3360, 
 H[0, 1, -1, 1, -1, -1, 1, 1] -> (2741760*li7half - 241920*li5half*ln2^2 + 
    80640*li4half*ln2^3 + 4832*ln2^7 - 368640*ln2*s6 + 368640*s7a - 
    1405440*s7b - 725760*li5half*z2 - 2688*ln2^5*z2 + 26880*ln2^3*z2^2 - 
    99936*ln2*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 680400*ln2^2*z2*z3 + 
    530568*z2^2*z3 + 460800*ln2*z3^2 + 1601460*ln2^2*z5 + 6175980*z2*z5 - 
    12413295*z7)/161280, H[0, 1, -1, 1, -1, -1, 0, 1] -> 
  (4515840*li7half - 896*ln2^7 - 1175040*ln2*s6 + 1175040*s7a + 207360*s7b - 
    80640*li5half*z2 + 483840*li4half*ln2*z2 + 39648*ln2^5*z2 - 
    9408*ln2^3*z2^2 + 442944*ln2*z2^3 + 745920*li4half*z3 + 31080*ln2^4*z3 - 
    216720*ln2^2*z2*z3 - 652320*z2^2*z3 + 1468800*ln2*z3^2 + 
    937440*ln2^2*z5 - 1326060*z2*z5 + 32355*z7)/161280, 
 H[0, 1, -1, 1, -1, -1, -1, 1] -> (-1021440*li7half - 53760*li6half*ln2 + 
    80640*li5half*ln2^2 - 26880*li4half*ln2^3 - 1664*ln2^7 + 345600*ln2*s6 - 
    144000*s7a + 3840*s7b + 134400*li5half*z2 + 80640*li4half*ln2*z2 + 
    5152*ln2^5*z2 - 37632*ln2^3*z2^2 - 149376*ln2*z2^3 - 53760*li4half*z3 - 
    2240*ln2^4*z3 - 67200*ln2^2*z2*z3 + 5280*z2^2*z3 - 108600*ln2*z3^2 - 
    104160*ln2^2*z5 - 221280*z2*z5 + 1082175*z7)/53760, 
 H[0, 1, -1, 0, 1, 1, 1, 1] -> (203520*ln2*s6 - 203520*s7a - 203520*s7b + 
    161280*li4half*ln2*z2 + 6720*ln2^5*z2 - 40320*ln2^3*z2^2 - 
    117408*ln2*z2^3 - 430080*li4half*z3 - 17920*ln2^4*z3 + 
    248640*ln2^2*z2*z3 + 130416*z2^2*z3 - 254400*ln2*z3^2 + 371040*z2*z5 - 
    582615*z7)/107520, H[0, 1, -1, 0, 1, 1, 0, 1] -> 
  (-115200*ln2*s6 + 115200*s7a + 115200*s7b + 79200*ln2*z2^3 + 
    430080*li4half*z3 + 17920*ln2^4*z3 - 107520*ln2^2*z2*z3 - 
    119304*z2^2*z3 + 144000*ln2*z3^2 - 293880*z2*z5 + 393945*z7)/53760, 
 H[0, 1, -1, 0, 1, 1, -1, 1] -> (10321920*li7half + 2580480*li6half*ln2 + 
    1536*ln2^7 - 1497600*ln2*s6 + 2626560*s7a - 2883840*s7b - 
    913920*li5half*z2 - 967680*li4half*ln2*z2 - 43456*ln2^5*z2 + 
    368704*ln2^3*z2^2 + 458592*ln2*z2^3 + 645120*li4half*z3 + 
    26880*ln2^4*z3 - 372960*ln2^2*z2*z3 + 608352*z2^2*z3 + 2736360*ln2*z3^2 + 
    5338200*ln2^2*z5 + 9577560*z2*z5 - 23560305*z7)/107520, 
 H[0, 1, -1, 0, 1, 0, 1, 1] -> (-55680*ln2*s6 + 55680*s7a + 55680*s7b - 
    80640*li4half*ln2*z2 - 3360*ln2^5*z2 + 20160*ln2^3*z2^2 + 
    29544*ln2*z2^3 + 53760*li4half*z3 + 2240*ln2^4*z3 - 84000*ln2^2*z2*z3 - 
    61032*z2^2*z3 + 69600*ln2*z3^2 - 123030*z2*z5 + 354765*z7)/13440, 
 H[0, 1, -1, 0, 1, 0, 0, 1] -> (3840*ln2*s6 - 3840*s7a - 3840*s7b - 
    24*ln2*z2^3 - 7680*li4half*z3 - 320*ln2^4*z3 + 1920*ln2^2*z2*z3 + 
    1212*z2^2*z3 - 4800*ln2*z3^2 + 11910*z2*z5 - 17745*z7)/960, 
 H[0, 1, -1, 0, 1, 0, -1, 1] -> (145920*ln2*s6 - 38400*s7a - 253440*s7b + 
    322560*li5half*z2 + 161280*li4half*ln2*z2 + 4032*ln2^5*z2 - 
    13440*ln2^3*z2^2 - 18336*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 
    26880*ln2^2*z2*z3 + 89160*z2^2*z3 + 64560*ln2*z3^2 + 208320*ln2^2*z5 + 
    481770*z2*z5 - 1398315*z7)/26880, H[0, 1, -1, 0, 1, -1, 1, 1] -> 
  (-5160960*li7half + 430080*li5half*ln2^2 - 2560*ln2^7 + 1315200*ln2*s6 - 
    1315200*s7a + 1520640*s7b + 860160*li5half*z2 + 322560*li4half*ln2*z2 + 
    20608*ln2^5*z2 - 211904*ln2^3*z2^2 - 173472*ln2*z2^3 - 
    349440*li4half*z3 - 14560*ln2^4*z3 + 87360*ln2^2*z2*z3 - 306144*z2^2*z3 - 
    1644000*ln2*z3^2 - 3359160*ln2^2*z5 - 5418600*z2*z5 + 12173775*z7)/53760, 
 H[0, 1, -1, 0, 1, -1, 0, 1] -> (-69120*ln2*s6 + 69120*s7a - 38400*s7b - 
    107520*li5half*z2 - 80640*li4half*ln2*z2 - 2464*ln2^5*z2 + 
    11200*ln2^3*z2^2 - 28416*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 
    6720*ln2^2*z2*z3 - 8112*z2^2*z3 + 86400*ln2*z3^2 + 104160*ln2^2*z5 + 
    192915*z2*z5 - 83295*z7)/13440, H[0, 1, -1, 0, 1, -1, -1, 1] -> 
  (-645120*li6half*ln2 - 215040*li5half*ln2^2 + 896*ln2^7 - 372480*ln2*s6 + 
    23040*s7a - 97920*s7b - 13440*li5half*z2 - 80640*li4half*ln2*z2 - 
    7728*ln2^5*z2 + 69776*ln2^3*z2^2 + 56880*ln2*z2^3 + 40320*li4half*z3 + 
    1680*ln2^4*z3 - 63000*ln2^2*z2*z3 + 4212*z2^2*z3 + 252450*ln2*z3^2 + 
    423150*ln2^2*z5 + 285750*z2*z5 - 448605*z7)/26880, 
 H[0, 1, -1, 0, 0, 1, 1, 1] -> (19200*ln2*s6 - 19200*s7a - 19200*s7b + 
    161280*li4half*ln2*z2 + 6720*ln2^5*z2 - 40320*ln2^3*z2^2 + 
    5280*ln2*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 + 87360*ln2^2*z2*z3 - 
    56976*z2^2*z3 - 24000*ln2*z3^2 + 316800*z2*z5 - 632955*z7)/53760, 
 H[0, 1, -1, 0, 0, 1, 0, 1] -> (38400*ln2*s6 - 38400*s7a - 38400*s7b - 
    68064*ln2*z2^3 - 215040*li4half*z3 - 8960*ln2^4*z3 + 53760*ln2^2*z2*z3 + 
    110328*z2^2*z3 - 48000*ln2*z3^2 + 122040*z2*z5 - 260115*z7)/26880, 
 H[0, 1, -1, 0, 0, 1, -1, 1] -> (41280*ln2*s6 - 48000*s7a + 46080*s7b + 
    40320*li4half*ln2*z2 + 1680*ln2^5*z2 - 10080*ln2^3*z2^2 + 5988*ln2*z2^3 - 
    26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 24*z2^2*z3 - 
    63360*ln2*z3^2 - 91140*ln2^2*z5 - 133575*z2*z5 + 190695*z7)/6720, 
 H[0, 1, -1, 0, 0, 0, 1, 1] -> (-15360*ln2*s6 + 15360*s7a + 15360*s7b + 
    12912*ln2*z2^3 + 53760*li4half*z3 + 2240*ln2^4*z3 - 13440*ln2^2*z2*z3 - 
    26928*z2^2*z3 + 19200*ln2*z3^2 - 166500*z2*z5 + 299955*z7)/13440, 
 H[0, 1, -1, 0, 0, 0, 0, 1] -> 
  (3*(240*ln2*z2^3 + 96*z2^2*z3 + 100*z2*z5 - 1055*z7))/320, 
 H[0, 1, -1, 0, 0, 0, -1, 1] -> (-12800*ln2*s6 - 23040*s7a + 48640*s7b + 
    18848*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 3360*ln2^2*z2*z3 - 
    19668*z2^2*z3 - 21240*ln2*z3^2 - 69440*ln2^2*z5 - 155130*z2*z5 + 
    256175*z7)/4480, H[0, 1, -1, 0, 0, -1, 1, 1] -> 
  (-130560*ln2*s6 + 130560*s7a - 97920*s7b - 80640*li4half*ln2*z2 - 
    3360*ln2^5*z2 + 20160*ln2^3*z2^2 - 19272*ln2*z2^3 + 87360*li4half*z3 + 
    3640*ln2^4*z3 - 21840*ln2^2*z2*z3 - 12000*z2^2*z3 + 163200*ln2*z3^2 + 
    286440*ln2^2*z5 + 229680*z2*z5 - 286695*z7)/13440, 
 H[0, 1, -1, 0, 0, -1, 0, 1] -> (23040*ln2*s6 - 23040*s7a - 23040*s7b - 
    13824*ln2*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 + 13440*ln2^2*z2*z3 + 
    40728*z2^2*z3 - 28800*ln2*z3^2 + 125360*z2*z5 - 270015*z7)/8960, 
 H[0, 1, -1, 0, 0, -1, -1, 1] -> (7680*ln2*s6 + 5760*s7a + 46080*s7b - 
    40320*li5half*z2 + 336*ln2^5*z2 - 3360*ln2^3*z2^2 + 8160*ln2*z2^3 + 
    6720*li4half*z3 + 280*ln2^4*z3 + 15960*ln2^2*z2*z3 - 12828*z2^2*z3 - 
    40470*ln2*z3^2 - 104160*ln2^2*z5 - 77715*z2*z5 + 209910*z7)/13440, 
 H[0, 1, -1, 0, -1, 1, 1, 1] -> (10321920*li7half + 430080*li4half*ln2^3 + 
    15872*ln2^7 - 852480*ln2*s6 + 852480*s7a - 2615040*s7b - 
    6451200*li5half*z2 - 322560*li4half*ln2*z2 - 24192*ln2^5*z2 + 
    151872*ln2^3*z2^2 - 715104*ln2*z2^3 + 322560*li4half*z3 + 
    13440*ln2^4*z3 + 1189440*ln2^2*z2*z3 + 842544*z2^2*z3 + 
    1065600*ln2*z3^2 + 3359160*ln2^2*z5 + 15501240*z2*z5 - 26542305*z7)/
   322560, H[0, 1, -1, 0, -1, 1, 0, 1] -> 
  (15360*ln2*s6 - 15360*s7a + 92160*s7b + 215040*li5half*z2 + 
    134400*li4half*ln2*z2 + 3808*ln2^5*z2 - 15680*ln2^3*z2^2 + 
    53112*ln2*z2^3 + 53760*li4half*z3 + 2240*ln2^4*z3 - 13440*ln2^2*z2*z3 - 
    55728*z2^2*z3 - 19200*ln2*z3^2 - 104160*ln2^2*z5 - 487020*z2*z5 + 
    527025*z7)/13440, H[0, 1, -1, 0, -1, 1, -1, 1] -> 
  (-2580480*li7half - 483840*li6half*ln2 - 26880*li4half*ln2^3 - 1280*ln2^7 + 
    300960*ln2*s6 - 593280*s7a + 817920*s7b - 40320*li4half*ln2*z2 + 
    4368*ln2^5*z2 - 66024*ln2^3*z2^2 - 85608*ln2*z2^3 + 40320*li4half*z3 + 
    1680*ln2^4*z3 - 10080*ln2^2*z2*z3 - 250272*z2^2*z3 - 631980*ln2*z3^2 - 
    1367100*ln2^2*z5 - 2446110*z2*z5 + 6433065*z7)/20160, 
 H[0, 1, -1, 0, -1, 0, 1, 1] -> (-72960*ln2*s6 + 72960*s7a + 72960*s7b + 
    430080*li5half*z2 + 53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 
    22400*ln2^3*z2^2 + 116688*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 - 
    134400*ln2^2*z2*z3 - 36432*z2^2*z3 + 91200*ln2*z3^2 - 829200*z2*z5 + 
    852615*z7)/26880, H[0, 1, -1, 0, -1, 0, 0, 1] -> 
  (38400*ln2*s6 - 38400*s7a - 38400*s7b + 16608*ln2*z2^3 - 26880*li4half*z3 - 
    1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 35232*z2^2*z3 - 48000*ln2*z3^2 + 
    130020*z2*z5 - 339285*z7)/13440, H[0, 1, -1, 0, -1, 0, -1, 1] -> 
  (38400*ln2*s6 - 145920*s7a + 69120*s7b + 537600*li5half*z2 + 
    268800*li4half*ln2*z2 + 6720*ln2^5*z2 - 22400*ln2^3*z2^2 + 
    117744*ln2*z2^3 - 161280*li4half*z3 - 6720*ln2^4*z3 + 40320*ln2^2*z2*z3 + 
    38760*z2^2*z3 - 130320*ln2*z3^2 - 208320*ln2^2*z5 - 728040*z2*z5 + 
    222885*z7)/26880, H[0, 1, -1, 0, -1, -1, 1, 1] -> 
  (10321920*li7half - 1290240*li5half*ln2^2 - 215040*li4half*ln2^3 - 
    256*ln2^7 - 2626560*ln2*s6 + 2626560*s7a - 2615040*s7b + 
    645120*li5half*z2 - 16128*ln2^5*z2 + 358176*ln2^3*z2^2 + 
    913824*ln2*z2^3 + 60480*li4half*z3 + 2520*ln2^4*z3 - 650160*ln2^2*z2*z3 + 
    623304*z2^2*z3 + 3283200*ln2*z3^2 + 6679260*ln2^2*z5 + 5981940*z2*z5 - 
    19617975*z7)/161280, H[0, 1, -1, 0, -1, -1, 0, 1] -> 
  (55680*ln2*s6 - 55680*s7a - 55680*s7b - 107520*li5half*z2 - 
    53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 4480*ln2^3*z2^2 - 17112*ln2*z2^3 - 
    47040*li4half*z3 - 1960*ln2^4*z3 + 11760*ln2^2*z2*z3 + 58596*z2^2*z3 - 
    69600*ln2*z3^2 + 334185*z2*z5 - 531375*z7)/13440, 
 H[0, 1, -1, 0, -1, -1, -1, 1] -> (10321920*li7half + 7741440*li6half*ln2 + 
    2580480*li5half*ln2^2 + 430080*li4half*ln2^3 + 5120*ln2^7 + 
    1797120*ln2*s6 + 1105920*s7a - 1393920*s7b + 1935360*li5half*z2 + 
    1451520*li4half*ln2*z2 + 33600*ln2^5*z2 - 201600*ln2^3*z2^2 + 
    558432*ln2*z2^3 - 1008000*li4half*z3 - 42000*ln2^4*z3 + 
    675360*ln2^2*z2*z3 + 849312*z2^2*z3 - 447120*ln2*z3^2 - 781200*ln2^2*z5 + 
    2678400*z2*z5 - 17706735*z7)/322560, H[0, 1, -1, -1, 1, 1, 1, 1] -> 
  (-5483520*li7half + 1088*ln2^7 + 1128960*ln2*s6 - 1128960*s7a + 
    1209600*s7b + 322560*li5half*z2 + 483840*li4half*ln2*z2 + 
    14784*ln2^5*z2 - 280896*ln2^3*z2^2 - 577440*ln2*z2^3 - 
    322560*li4half*z3 + 21840*ln2^4*z3 + 352800*ln2^2*z2*z3 - 
    479808*z2^2*z3 - 1411200*ln2*z3^2 - 2265480*ln2^2*z5 - 3470040*z2*z5 + 
    10925145*z7)/322560, H[0, 1, -1, -1, 1, 1, 0, 1] -> 
  (2580480*li7half - 512*ln2^7 + 184320*ln2*s6 - 184320*s7a - 587520*s7b + 
    1290240*li5half*z2 + 967680*li4half*ln2*z2 + 40320*ln2^5*z2 - 
    173376*ln2^3*z2^2 + 442080*ln2*z2^3 - 645120*li4half*z3 - 
    26880*ln2^4*z3 + 403200*ln2^2*z2*z3 + 768672*z2^2*z3 - 336240*ln2*z3^2 + 
    390600*ln2^2*z5 + 342360*z2*z5 - 6725835*z7)/322560, 
 H[0, 1, -1, -1, 1, 1, -1, 1] -> (4193280*li7half - 322560*li6half*ln2 - 
    1280*ln2^7 - 1013760*ln2*s6 + 1094400*s7a - 1486080*s7b + 8064*ln2^5*z2 + 
    184128*ln2^3*z2^2 + 321120*ln2*z2^3 - 35280*ln2^4*z3 + 
    151200*ln2^2*z2*z3 + 531072*z2^2*z3 + 1002600*ln2*z3^2 + 
    2499840*ln2^2*z5 + 4423320*z2*z5 - 11444355*z7)/322560, 
 H[0, 1, -1, -1, 1, 0, 1, 1] -> (-168960*ln2*s6 + 168960*s7a + 88320*s7b - 
    215040*li5half*z2 - 322560*li4half*ln2*z2 - 11648*ln2^5*z2 + 
    62720*ln2^3*z2^2 + 25440*ln2*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 - 
    204960*ln2^2*z2*z3 - 157104*z2^2*z3 + 246480*ln2*z3^2 + 78120*ln2^2*z5 - 
    185520*z2*z5 + 1015965*z7)/53760, H[0, 1, -1, -1, 1, 0, 0, 1] -> 
  (960*ln2*s6 - 960*s7a - 1920*s7b - 1920*li5half*z2 - 1440*li4half*ln2*z2 - 
    44*ln2^5*z2 + 200*ln2^3*z2^2 - 444*ln2*z2^3 - 960*li4half*z3 - 
    40*ln2^4*z3 - 30*ln2^2*z2*z3 + 795*z2^2*z3 - 255*ln2*z3^2 + 
    930*ln2^2*z5 + 8490*z2*z5 - 12435*z7)/480, 
 H[0, 1, -1, -1, 1, 0, -1, 1] -> (19200*ln2*s6 - 19200*s7a - 113280*s7b - 
    228480*li5half*z2 - 161280*li4half*ln2*z2 - 4816*ln2^5*z2 + 
    21280*ln2^3*z2^2 - 49488*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 
    21840*ln2^2*z2*z3 - 20436*z2^2*z3 + 112710*ln2*z3^2 + 91140*ln2^2*z5 + 
    599460*z2*z5 - 649965*z7)/26880, H[0, 1, -1, -1, 1, -1, 1, 1] -> 
  (645120*li7half + 483840*li5half*ln2^2 - 4160*ln2^7 - 288000*ln2*s6 + 
    288000*s7a + 1578240*s7b + 1451520*li5half*z2 - 9408*ln2^5*z2 + 
    231168*ln2^3*z2^2 + 905184*ln2*z2^3 - 35280*ln2^4*z3 - 
    1118880*ln2^2*z2*z3 - 696672*z2^2*z3 + 148320*ln2*z3^2 - 
    2187360*ln2^2*z5 - 7488720*z2*z5 + 11153745*z7)/322560, 
 H[0, 1, -1, -1, 1, -1, 0, 1] -> (-645120*li7half + 128*ln2^7 + 
    284160*ln2*s6 - 284160*s7a - 176640*s7b - 188160*li5half*z2 - 
    241920*li4half*ln2*z2 - 11200*ln2^5*z2 + 39424*ln2^3*z2^2 - 
    95136*ln2*z2^3 - 161280*li4half*z3 - 6720*ln2^4*z3 - 35280*ln2^2*z2*z3 + 
    185688*z2^2*z3 - 214080*ln2*z3^2 - 104160*ln2^2*z5 + 774240*z2*z5 - 
    914205*z7)/53760, H[0, 1, -1, -1, 1, -1, -1, 1] -> 
  (430080*li7half + 107520*li6half*ln2 - 53760*li5half*ln2^2 + 512*ln2^7 - 
    80640*ln2*s6 - 116480*s7b - 161280*li5half*z2 - 161280*li4half*ln2*z2 - 
    6272*ln2^5*z2 + 25088*ln2^3*z2^2 + 24480*ln2*z2^3 + 107520*li4half*z3 + 
    8400*ln2^4*z3 - 50400*ln2^2*z2*z3 - 13888*z2^2*z3 + 165480*ln2*z3^2 + 
    217000*ln2^2*z5 + 538160*z2*z5 - 1090565*z7)/35840, 
 H[0, 1, -1, -1, 0, 1, 1, 1] -> (-88320*ln2*s6 + 88320*s7a - 288000*s7b + 
    430080*li5half*z2 - 3584*ln2^5*z2 + 35840*ln2^3*z2^2 + 81888*ln2*z2^3 + 
    10080*ln2^2*z2*z3 + 155040*z2^2*z3 + 75120*ln2*z3^2 + 364560*ln2^2*z5 + 
    578880*z2*z5 - 1944195*z7)/107520, H[0, 1, -1, -1, 0, 1, 0, 1] -> 
  (-122880*ln2*s6 + 122880*s7a + 122880*s7b - 107520*li5half*z2 + 
    896*ln2^5*z2 - 8960*ln2^3*z2^2 - 40176*ln2*z2^3 + 30240*ln2^2*z2*z3 - 
    57504*z2^2*z3 + 47760*ln2*z3^2 - 274440*z2*z5 + 865695*z7)/26880, 
 H[0, 1, -1, -1, 0, 1, -1, 1] -> (2580480*li7half + 645120*li6half*ln2 + 
    384*ln2^7 - 206400*ln2*s6 + 576000*s7a - 593280*s7b + 174720*li5half*z2 + 
    161280*li4half*ln2*z2 + 2576*ln2^5*z2 + 24976*ln2^3*z2^2 + 
    147456*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 - 46200*ln2^2*z2*z3 + 
    209292*z2^2*z3 + 466740*ln2*z3^2 + 1132740*ln2^2*z5 + 1600170*z2*z5 - 
    5225715*z7)/26880, H[0, 1, -1, -1, 0, 0, 1, 1] -> 
  (22560*ln2*s6 - 22560*s7a - 5760*s7b - 13440*li5half*z2 + 
    10080*li4half*ln2*z2 + 532*ln2^5*z2 - 3640*ln2^3*z2^2 - 5304*ln2*z2^3 - 
    13440*li4half*z3 - 560*ln2^4*z3 + 10290*ln2^2*z2*z3 + 9300*z2^2*z3 - 
    21585*ln2*z3^2 - 16275*ln2^2*z5 + 27210*z2*z5 - 53880*z7)/3360, 
 H[0, 1, -1, -1, 0, 0, 0, 1] -> (-15360*ln2*s6 + 15360*s7a - 192*ln2*z2^3 + 
    15360*li4half*z3 + 640*ln2^4*z3 - 3840*ln2^2*z2*z3 - 4248*z2^2*z3 + 
    19200*ln2*z3^2 + 14880*ln2^2*z5 - 3000*z2*z5 + 10275*z7)/3840, 
 H[0, 1, -1, -1, 0, 0, -1, 1] -> (1920*ln2*s6 - 55680*s7a + 65280*s7b - 
    67200*li5half*z2 - 40320*li4half*ln2*z2 - 1120*ln2^5*z2 + 
    4480*ln2^3*z2^2 + 17400*ln2*z2^3 + 6720*li4half*z3 + 280*ln2^4*z3 - 
    11760*ln2^2*z2*z3 - 18096*z2^2*z3 - 47970*ln2*z3^2 - 117180*ln2^2*z5 - 
    147555*z2*z5 + 322485*z7)/13440, H[0, 1, -1, -1, 0, -1, 1, 1] -> 
  (-2580480*li7half + 215040*li5half*ln2^2 - 1280*ln2^7 + 706560*ln2*s6 - 
    706560*s7a + 72960*s7b + 161280*li4half*ln2*z2 + 13888*ln2^5*z2 - 
    141792*ln2^3*z2^2 - 404736*ln2*z2^3 - 208320*li4half*z3 - 8680*ln2^4*z3 + 
    435120*ln2^2*z2*z3 + 120984*z2^2*z3 - 742080*ln2*z3^2 - 820260*ln2^2*z5 - 
    86220*z2*z5 + 1896945*z7)/53760, H[0, 1, -1, -1, 0, -1, 0, 1] -> 
  (-108800*ln2*s6 + 108800*s7a + 72960*s7b + 2672*ln2*z2^3 + 
    94080*li4half*z3 + 3920*ln2^4*z3 - 10080*ln2^2*z2*z3 - 74344*z2^2*z3 + 
    88960*ln2*z3^2 + 34720*ln2^2*z5 - 213830*z2*z5 + 539785*z7)/8960, 
 H[0, 1, -1, -1, 0, -1, -1, 1] -> (-2580480*li7half - 1290240*li6half*ln2 - 
    215040*li5half*ln2^2 + 512*ln2^7 - 201600*ln2*s6 - 215040*s7a + 
    672000*s7b - 376320*li5half*z2 - 241920*li4half*ln2*z2 - 8736*ln2^5*z2 + 
    29120*ln2^3*z2^2 - 106368*ln2*z2^3 + 141120*li4half*z3 + 5880*ln2^4*z3 - 
    30240*ln2^2*z2*z3 - 234696*z2^2*z3 - 315420*ln2*z3^2 - 794220*ln2^2*z5 - 
    1669500*z2*z5 + 6013665*z7)/53760, H[0, 1, -1, -1, -1, 1, 1, 1] -> 
  (-60480*li7half + 3360*li4half*ln2^3 + 152*ln2^7 + 21600*ln2*s6 - 
    21600*s7a - 51840*s7b - 60480*li5half*z2 - 10080*li4half*ln2*z2 + 
    252*ln2^5*z2 - 1932*ln2^3*z2^2 - 33300*ln2*z2^3 - 2520*li4half*z3 - 
    2310*ln2^4*z3 + 42210*ln2^2*z2*z3 + 28071*z2^2*z3 - 20385*ln2*z3^2 + 
    29295*ln2^2*z5 + 270405*z2*z5 - 372780*z7)/20160, 
 H[0, 1, -1, -1, -1, 1, 0, 1] -> (645120*li7half - 128*ln2^7 - 
    322560*ln2*s6 + 322560*s7a + 403200*s7b + 322560*li5half*z2 + 
    403200*li4half*ln2*z2 + 16800*ln2^5*z2 - 58464*ln2^3*z2^2 + 
    126576*ln2*z2^3 + 45360*ln2^2*z2*z3 - 203616*z2^2*z3 + 59220*ln2*z3^2 - 
    78120*ln2^2*z5 - 1580040*z2*z5 + 2214135*z7)/80640, 
 H[0, 1, -1, -1, -1, 1, -1, 1] -> (-2903040*li7half - 967680*li6half*ln2 - 
    53760*li4half*ln2^3 - 3008*ln2^7 - 57600*ln2*s6 + 218880*s7a + 
    1670400*s7b + 967680*li5half*z2 + 1128960*li4half*ln2*z2 + 
    36288*ln2^5*z2 - 259392*ln2^3*z2^2 - 10080*ln2*z2^3 - 725760*li4half*z3 + 
    5040*ln2^4*z3 + 181440*ln2^2*z2*z3 - 172800*z2^2*z3 - 1321560*ln2*z3^2 - 
    1406160*ln2^2*z5 - 6106320*z2*z5 + 12290715*z7)/322560, 
 H[0, 1, -1, -1, -1, 0, 1, 1] -> (48000*ln2*s6 - 48000*s7a + 126720*s7b + 
    107520*li5half*z2 - 26880*li4half*ln2*z2 - 2016*ln2^5*z2 + 
    19040*ln2^3*z2^2 + 77376*ln2*z2^3 + 20160*li4half*z3 + 840*ln2^4*z3 - 
    171360*ln2^2*z2*z3 - 67008*z2^2*z3 + 28200*ln2*z3^2 - 169260*ln2^2*z5 - 
    683460*z2*z5 + 1042875*z7)/53760, H[0, 1, -1, -1, -1, 0, 0, 1] -> 
  (78720*ln2*s6 - 78720*s7a - 119040*s7b + 53760*li5half*z2 - 448*ln2^5*z2 + 
    14560*ln2^3*z2^2 + 11232*ln2*z2^3 - 33600*li4half*z3 - 1400*ln2^4*z3 - 
    11760*ln2^2*z2*z3 + 86304*z2^2*z3 - 27840*ln2*z3^2 + 39060*ln2^2*z5 + 
    323220*z2*z5 - 880875*z7)/26880, H[0, 1, -1, -1, -1, 0, -1, 1] -> 
  (3440640*li7half + 860160*li6half*ln2 + 512*ln2^7 - 34560*ln2*s6 - 
    99840*s7a - 556800*s7b + 752640*li5half*z2 + 215040*li4half*ln2*z2 - 
    896*ln2^5*z2 + 69888*ln2^3*z2^2 + 517920*ln2*z2^3 - 134400*li4half*z3 - 
    5600*ln2^4*z3 - 198240*ln2^2*z2*z3 + 174192*z2^2*z3 + 448920*ln2*z3^2 + 
    442680*ln2^2*z5 + 959400*z2*z5 - 6488385*z7)/107520, 
 H[0, 1, -1, -1, -1, -1, 1, 1] -> (-215040*li7half - 53760*li5half*ln2^2 - 
    17920*li4half*ln2^3 - 256*ln2^7 + 134400*ln2*s6 - 134400*s7a - 
    295680*s7b + 53760*li5half*z2 - 1344*ln2^5*z2 - 19264*ln2^3*z2^2 - 
    107040*ln2*z2^3 - 53760*li4half*z3 + 9520*ln2^4*z3 + 13440*ln2^2*z2*z3 + 
    114576*z2^2*z3 + 78960*ln2*z3^2 + 416640*ln2^2*z5 + 613200*z2*z5 - 
    1166025*z7)/107520, H[0, 1, -1, -1, -1, -1, 0, 1] -> 
  (-645120*li7half + 128*ln2^7 - 322560*ln2*s6 + 322560*s7a + 241920*s7b - 
    241920*li5half*z2 - 80640*li4half*ln2*z2 - 4032*ln2^5*z2 - 
    25536*ln2^3*z2^2 - 113472*ln2*z2^3 + 262080*li4half*z3 + 10920*ln2^4*z3 + 
    161280*ln2^2*z2*z3 - 154728*z2^2*z3 - 20160*ln2*z3^2 + 78120*ln2^2*z5 - 
    156240*z2*z5 + 1643985*z7)/161280, H[0, 1, -1, -1, -1, -1, -1, 1] -> 
  (645120*li7half + 161280*li6half*ln2 + 80640*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 544*ln2^7 + 80640*s7b + 80640*li5half*z2 + 
    672*ln2^5*z2 + 40992*ln2^3*z2^2 + 170784*ln2*z2^3 - 20160*li4half*z3 - 
    18480*ln2^4*z3 + 5040*ln2^2*z2*z3 - 12096*z2^2*z3 - 61740*ln2*z3^2 - 
    468720*ln2^2*z5 - 239400*z2*z5 - 360045*z7)/161280, 
 H[0, 0, 1, 1, 1, 1, 1, 1] -> (-2*z2^2*z3 - 5*z2*z5 + 15*z7)/5, 
 H[0, 0, 1, 1, 1, 1, 0, 1] -> (3*z2^2*z3 - 10*z7)/5, 
 H[0, 0, 1, 1, 1, 1, -1, 1] -> (-967680*li7half - 322560*li6half*ln2 - 
    256*ln2^7 + 167040*ln2*s6 - 86400*s7a + 115200*s7b + 80640*li5half*z2 + 
    2016*ln2^5*z2 - 3360*ln2^3*z2^2 - 60480*ln2*z2^3 - 161280*li4half*z3 - 
    6720*ln2^4*z3 - 80640*ln2^2*z2*z3 + 53568*z2^2*z3 - 208800*ln2*z3^2 - 
    195300*ln2^2*z5 - 425340*z2*z5 + 1431135*z7)/161280, 
 H[0, 0, 1, 1, 1, 0, 1, 1] -> (-8*z2^2*z3 + 80*z2*z5 - 109*z7)/16, 
 H[0, 0, 1, 1, 1, 0, 0, 1] -> (-92*z2^2*z3 + 305*z7)/40, 
 H[0, 0, 1, 1, 1, 0, -1, 1] -> (17280*ln2*s6 - 17280*s7a - 17280*s7b - 
    3024*ln2*z2^3 + 47040*li4half*z3 + 1960*ln2^4*z3 - 11760*ln2^2*z2*z3 - 
    32916*z2^2*z3 + 46020*ln2*z3^2 + 52860*z2*z5 - 47925*z7)/26880, 
 H[0, 0, 1, 1, 1, -1, 1, 1] -> (1290240*li7half - 322560*li5half*ln2^2 + 
    2432*ln2^7 - 529920*ln2*s6 + 529920*s7a - 840960*s7b + 
    967680*li5half*z2 + 483840*li4half*ln2*z2 - 9408*ln2^5*z2 + 
    14784*ln2^3*z2^2 + 317088*ln2*z2^3 + 766080*li4half*z3 + 31920*ln2^4*z3 + 
    292320*ln2^2*z2*z3 - 21312*z2^2*z3 + 662400*ln2*z3^2 + 1171800*ln2^2*z5 + 
    2679480*z2*z5 - 7367625*z7)/322560, H[0, 0, 1, 1, 1, -1, 0, 1] -> 
  (4800*ln2*s6 - 4800*s7a + 28800*s7b - 13440*li5half*z2 + 112*ln2^5*z2 - 
    6160*ln2^3*z2^2 - 6912*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 
    5040*ln2^2*z2*z3 - 21720*z2^2*z3 - 6000*ln2*z3^2 - 32550*ln2^2*z5 - 
    92160*z2*z5 + 255855*z7)/13440, H[0, 0, 1, 1, 1, -1, -1, 1] -> 
  (-1505280*li7half - 215040*li6half*ln2 + 107520*li5half*ln2^2 - 896*ln2^7 + 
    299520*ln2*s6 - 433920*s7a + 480000*s7b - 53760*li5half*z2 + 
    7616*ln2^5*z2 - 39872*ln2^3*z2^2 - 107232*ln2*z2^3 + 67200*li4half*z3 + 
    2800*ln2^4*z3 - 97440*ln2^2*z2*z3 - 226368*z2^2*z3 - 256800*ln2*z3^2 - 
    833280*ln2^2*z5 - 1488960*z2*z5 + 4066605*z7)/107520, 
 H[0, 0, 1, 1, 0, 1, 1, 1] -> (-36*z2*z5 + 61*z7)/8, 
 H[0, 0, 1, 1, 0, 1, 0, 1] -> (272*z2^2*z3 - 895*z7)/80, 
 H[0, 0, 1, 1, 0, 1, -1, 1] -> (11520*ln2*s6 - 65280*s7a + 42240*s7b + 
    52992*ln2*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 + 16800*ln2^2*z2*z3 + 
    77904*z2^2*z3 - 190800*ln2*z3^2 - 104160*ln2^2*z5 - 53100*z2*z5 - 
    168345*z7)/53760, H[0, 0, 1, 1, 0, 0, 1, 1] -> (2*z2^2*z3 - 5*z7)/20, 
 H[0, 0, 1, 1, 0, 0, 0, 1] -> (-3*(2*z2^2*z3 - 5*z7))/5, 
 H[0, 0, 1, 1, 0, 0, -1, 1] -> (-960*ln2*s6 + 960*s7a + 960*s7b + 
    168*ln2*z2^3 + 3360*li4half*z3 + 140*ln2^4*z3 - 840*ln2^2*z2*z3 - 
    2262*z2^2*z3 + 2670*ln2*z3^2 - 3750*z2*z5 + 9795*z7)/960, 
 H[0, 0, 1, 1, 0, -1, 1, 1] -> (17280*ln2*s6 - 17280*s7a - 44160*s7b - 
    30528*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 26880*ln2^2*z2*z3 + 
    55536*z2^2*z3 - 21600*ln2*z3^2 + 52080*ln2^2*z5 + 82260*z2*z5 - 
    169725*z7)/26880, H[0, 0, 1, 1, 0, -1, 0, 1] -> 
  (936*z2^2*z3 + 1240*z2*z5 - 5365*z7)/1280, H[0, 0, 1, 1, 0, -1, -1, 1] -> 
  (640*ln2*s6 + 640*s7a - 640*s7b - 112*ln2*z2^3 + 200*z2^2*z3 + 
    180*ln2*z3^2 + 2320*z2*z5 - 3575*z7)/1280, 
 H[0, 0, 1, 1, -1, 1, 1, 1] -> (1290240*li7half - 107520*li4half*ln2^3 - 
    4736*ln2^7 + 1428480*ln2*s6 - 1428480*s7a + 103680*s7b - 
    1290240*li5half*z2 + 322560*li4half*ln2*z2 + 56448*ln2^5*z2 - 
    232512*ln2^3*z2^2 - 458784*ln2*z2^3 - 2822400*li4half*z3 - 
    117600*ln2^4*z3 + 675360*ln2^2*z2*z3 + 1005408*z2^2*z3 - 
    1785600*ln2*z3^2 - 1484280*ln2^2*z5 - 498600*z2*z5 + 674685*z7)/322560, 
 H[0, 0, 1, 1, -1, 1, 0, 1] -> (-54528*ln2*s6 + 54528*s7a - 26112*s7b - 
    10752*li4half*ln2*z2 - 448*ln2^5*z2 + 14784*ln2^3*z2^2 + 2880*ln2*z2^3 + 
    75264*li4half*z3 + 3136*ln2^4*z3 - 18816*ln2^2*z2*z3 + 13656*z2^2*z3 + 
    68160*ln2*z3^2 + 78120*ln2^2*z5 + 79224*z2*z5 - 214653*z7)/10752, 
 H[0, 0, 1, 1, -1, 1, -1, 1] -> (322560*li7half + 322560*li6half*ln2 + 
    53760*li4half*ln2^3 + 2624*ln2^7 - 345600*ln2*s6 - 17280*s7a - 
    57600*s7b - 80640*li5half*z2 - 403200*li4half*ln2*z2 - 34944*ln2^5*z2 + 
    126336*ln2^3*z2^2 + 177696*ln2*z2^3 - 120960*li4half*z3 - 5040*ln2^4*z3 + 
    60480*ln2^2*z2*z3 + 285192*z2^2*z3 - 317700*ln2*z3^2 + 39060*ln2^2*z5 + 
    485460*z2*z5 - 1774755*z7)/161280, H[0, 0, 1, 1, -1, 0, 1, 1] -> 
  (-28320*ln2*s6 + 28320*s7a - 5280*s7b + 13440*li5half*z2 - 
    13440*li4half*ln2*z2 - 672*ln2^5*z2 + 4480*ln2^3*z2^2 + 9180*ln2*z2^3 + 
    48720*li4half*z3 + 2030*ln2^4*z3 - 12180*ln2^2*z2*z3 - 17235*z2^2*z3 + 
    35400*ln2*z3^2 + 32550*ln2^2*z5 + 22020*z2*z5 - 35775*z7)/6720, 
 H[0, 0, 1, 1, -1, 0, 0, 1] -> (48000*ln2*s6 - 48000*s7a + 32640*s7b - 
    4944*ln2*z2^3 - 47040*li4half*z3 - 1960*ln2^4*z3 + 11760*ln2^2*z2*z3 - 
    18708*z2^2*z3 - 60000*ln2*z3^2 - 78120*ln2^2*z5 - 98400*z2*z5 + 
    249705*z7)/13440, H[0, 0, 1, 1, -1, 0, -1, 1] -> 
  (-15360*ln2*s6 + 122880*s7a - 65280*s7b - 80640*li5half*z2 - 
    26880*li4half*ln2*z2 - 448*ln2^5*z2 - 47376*ln2*z2^3 + 
    161280*li4half*z3 + 6720*ln2^4*z3 - 40320*ln2^2*z2*z3 - 76320*z2^2*z3 + 
    180900*ln2*z3^2 + 182280*ln2^2*z5 + 241110*z2*z5 - 73635*z7)/26880, 
 H[0, 0, 1, 1, -1, -1, 1, 1] -> (430080*li7half - 26880*li5half*ln2^2 + 
    8960*li4half*ln2^3 + 512*ln2^7 - 149760*ln2*s6 + 149760*s7a - 
    145920*s7b - 80640*li5half*z2 - 80640*li4half*ln2*z2 - 5376*ln2^5*z2 + 
    30352*ln2^3*z2^2 + 21360*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 
    22680*ln2^2*z2*z3 + 12888*z2^2*z3 + 187200*ln2*z3^2 + 318990*ln2^2*z5 + 
    521670*z2*z5 - 1090875*z7)/26880, H[0, 0, 1, 1, -1, -1, 0, 1] -> 
  (109440*ln2*s6 - 109440*s7a + 51840*s7b - 26880*li5half*z2 + 
    26880*li4half*ln2*z2 + 1344*ln2^5*z2 - 29120*ln2^3*z2^2 - 9888*ln2*z2^3 - 
    141120*li4half*z3 - 5880*ln2^4*z3 + 35280*ln2^2*z2*z3 + 31212*z2^2*z3 - 
    136800*ln2*z3^2 - 156240*ln2^2*z5 - 124770*z2*z5 + 210135*z7)/26880, 
 H[0, 0, 1, 1, -1, -1, -1, 1] -> (-1935360*li7half + 645120*li6half*ln2 + 
    322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 5888*ln2^7 + 
    1209600*ln2*s6 + 80640*s7a + 80640*s7b - 806400*li5half*z2 + 
    38976*ln2^5*z2 - 219072*ln2^3*z2^2 - 664416*ln2*z2^3 + 
    403200*li4half*z3 + 16800*ln2^4*z3 - 100800*ln2^2*z2*z3 - 
    328608*z2^2*z3 - 47880*ln2*z3^2 - 390600*ln2^2*z5 + 383040*z2*z5 + 
    3235365*z7)/322560, H[0, 0, 1, 0, 1, 1, 1, 1] -> 
  (112*z2^2*z3 + 440*z2*z5 - 1105*z7)/80, H[0, 0, 1, 0, 1, 1, 0, 1] -> 
  (-204*z2^2*z3 + 655*z7)/40, H[0, 0, 1, 0, 1, 1, -1, 1] -> 
  (-22080*ln2*s6 - 24960*s7a + 35520*s7b - 26880*li5half*z2 + 224*ln2^5*z2 - 
    2240*ln2^3*z2^2 - 6912*ln2*z2^3 + 43680*li4half*z3 + 1820*ln2^4*z3 + 
    19320*ln2^2*z2*z3 - 47970*z2^2*z3 + 37890*ln2*z3^2 - 58590*ln2^2*z5 - 
    98565*z2*z5 + 267720*z7)/13440, H[0, 0, 1, 0, 1, 0, 1, 1] -> 
  (72*z2^2*z3 - 600*z2*z5 + 785*z7)/80, H[0, 0, 1, 0, 1, 0, 0, 1] -> 
  6*(z2^2*z3 - 3*z7), H[0, 0, 1, 0, 1, 0, -1, 1] -> 
  (-38400*ln2*s6 + 38400*s7a + 38400*s7b + 6720*ln2*z2^3 - 
    188160*li4half*z3 - 7840*ln2^4*z3 + 47040*ln2^2*z2*z3 + 126384*z2^2*z3 - 
    175440*ln2*z3^2 - 109440*z2*z5 + 28905*z7)/26880, 
 H[0, 0, 1, 0, 1, -1, 1, 1] -> (-19200*ln2*s6 + 19200*s7a + 30720*s7b - 
    61440*li5half*z2 - 46080*li4half*ln2*z2 - 1408*ln2^5*z2 + 
    6400*ln2^3*z2^2 - 3744*ln2*z2^3 + 19200*li4half*z3 + 800*ln2^4*z3 - 
    39360*ln2^2*z2*z3 - 20736*z2^2*z3 + 24000*ln2*z3^2 + 14880*ln2^2*z5 - 
    62160*z2*z5 + 249735*z7)/7680, H[0, 0, 1, 0, 1, -1, 0, 1] -> 
  (7680*ln2*s6 - 7680*s7a - 7680*s7b + 816*ln2*z2^3 - 3840*li4half*z3 - 
    160*ln2^4*z3 + 960*ln2^2*z2*z3 + 9336*z2^2*z3 - 9600*ln2*z3^2 + 
    29070*z2*z5 - 75495*z7)/1920, H[0, 0, 1, 0, 1, -1, -1, 1] -> 
  (1920*ln2*s6 + 7680*s7a - 7680*s7b - 7680*li5half*z2 + 64*ln2^5*z2 - 
    640*ln2^3*z2^2 - 3744*ln2*z2^3 - 17280*li4half*z3 - 720*ln2^4*z3 + 
    12960*ln2^2*z2*z3 + 14916*z2^2*z3 - 17100*ln2*z3^2 + 1860*ln2^2*z5 + 
    38520*z2*z5 - 66375*z7)/3840, H[0, 0, 1, 0, 0, 1, 1, 1] -> 
  (-36*z2*z5 + 61*z7)/8, H[0, 0, 1, 0, 0, 1, 0, 1] -> 
  (-3*(2*z2^2*z3 - 5*z7))/5, H[0, 0, 1, 0, 0, 1, -1, 1] -> 
  (1920*ln2*s6 + 11520*s7a - 15360*s7b - 6456*ln2*z2^3 + 2554*z2^2*z3 + 
    12790*ln2*z3^2 + 26040*ln2^2*z5 + 44175*z2*z5 - 63495*z7)/2240, 
 H[0, 0, 1, 0, 0, 0, 1, 1] -> (2*(z2^2*z3 + 25*z2*z5 - 45*z7))/5, 
 H[0, 0, 1, 0, 0, 0, 0, 1] -> 15*z7, H[0, 0, 1, 0, 0, 0, -1, 1] -> 
  (224*z2^2*z3 + 720*z2*z5 - 1815*z7)/640, H[0, 0, 1, 0, 0, -1, 1, 1] -> 
  (8000*ln2*s6 - 8000*s7a + 5440*s7b + 4720*ln2*z2^3 + 592*z2^2*z3 - 
    10000*ln2*z3^2 - 26040*ln2^2*z5 - 4150*z2*z5 - 5055*z7)/2240, 
 H[0, 0, 1, 0, 0, -1, 0, 1] -> (-3*(584*z2^2*z3 + 1240*z2*z5 - 3805*z7))/640, 
 H[0, 0, 1, 0, 0, -1, -1, 1] -> (-11520*ln2*s6 - 8640*s7a + 11520*s7b + 
    2016*ln2*z2^3 + 11760*li4half*z3 + 490*ln2^4*z3 - 2940*ln2^2*z2*z3 - 
    10515*z2^2*z3 + 7050*ln2*z3^2 - 43185*z2*z5 + 77100*z7)/3360, 
 H[0, 0, 1, 0, -1, 1, 1, 1] -> (-117120*ln2*s6 + 117120*s7a + 49920*s7b + 
    107520*li5half*z2 - 896*ln2^5*z2 + 8960*ln2^3*z2^2 + 66912*ln2*z2^3 + 
    268800*li4half*z3 + 11200*ln2^4*z3 - 77280*ln2^2*z2*z3 - 121200*z2^2*z3 + 
    146400*ln2*z3^2 + 65100*ln2^2*z5 - 253320*z2*z5 + 383415*z7)/26880, 
 H[0, 0, 1, 0, -1, 1, 0, 1] -> (1280*ln2*s6 - 1280*s7a - 1280*s7b - 
    584*ln2*z2^3 - 3840*li4half*z3 - 160*ln2^4*z3 + 960*ln2^2*z2*z3 + 
    1132*z2^2*z3 - 1600*ln2*z3^2 + 3760*z2*z5 - 5915*z7)/320, 
 H[0, 0, 1, 0, -1, 1, -1, 1] -> (78720*ln2*s6 + 15360*s7a - 38400*s7b + 
    107520*li5half*z2 + 161280*li4half*ln2*z2 + 5824*ln2^5*z2 - 
    31360*ln2^3*z2^2 - 38640*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 
    26880*ln2^2*z2*z3 - 15672*z2^2*z3 + 42720*ln2*z3^2 + 52080*ln2^2*z5 - 
    24540*z2*z5 - 23025*z7)/26880, H[0, 0, 1, 0, -1, 0, 1, 1] -> 
  (-48*z2^2*z3 + 3400*z2*z5 - 5575*z7)/1280, H[0, 0, 1, 0, -1, 0, 0, 1] -> 
  (3*(272*z2^2*z3 - 605*z7))/640, H[0, 0, 1, 0, -1, 0, -1, 1] -> 
  (69120*ln2*s6 - 69120*s7a - 69120*s7b - 12096*ln2*z2^3 - 
    188160*li4half*z3 - 7840*ln2^4*z3 + 47040*ln2^2*z2*z3 + 133440*z2^2*z3 - 
    145200*ln2*z3^2 + 238740*z2*z5 - 620415*z7)/26880, 
 H[0, 0, 1, 0, -1, -1, 1, 1] -> (-960*ln2*s6 + 960*s7a + 960*s7b + 
    7680*li5half*z2 - 64*ln2^5*z2 + 640*ln2^3*z2^2 + 3648*ln2*z2^3 + 
    3840*li4half*z3 + 160*ln2^4*z3 - 1680*ln2^2*z2*z3 - 1344*z2^2*z3 + 
    1200*ln2*z3^2 - 4650*ln2^2*z5 - 4350*z2*z5 - 5535*z7)/1920, 
 H[0, 0, 1, 0, -1, -1, 0, 1] -> (-238*z2^2*z3 - 775*z2*z5 + 2065*z7)/320, 
 H[0, 0, 1, 0, -1, -1, -1, 1] -> (-2880*ln2*s6 - 13920*s7a + 2880*s7b + 
    504*ln2*z2^3 - 11760*li4half*z3 - 490*ln2^4*z3 + 2940*ln2^2*z2*z3 + 
    6291*z2^2*z3 - 11100*ln2*z3^2 - 13290*z2*z5 + 2160*z7)/6720, 
 H[0, 0, 1, -1, 1, 1, 1, 1] -> (-80640*li7half + 16*ln2^7 - 44640*ln2*s6 + 
    44640*s7a - 12480*s7b + 80640*li5half*z2 - 1008*ln2^5*z2 + 
    6888*ln2^3*z2^2 + 17640*ln2*z2^3 + 94080*li4half*z3 + 2940*ln2^4*z3 - 
    17640*ln2^2*z2*z3 - 15144*z2^2*z3 + 55800*ln2*z3^2 + 55335*ln2^2*z5 + 
    32355*z2*z5 - 132210*z7)/13440, H[0, 0, 1, -1, 1, 1, 0, 1] -> 
  (126720*ln2*s6 - 126720*s7a + 74880*s7b - 30240*ln2^3*z2^2 - 
    8496*ln2*z2^3 - 188160*li4half*z3 - 7840*ln2^4*z3 + 35280*ln2^2*z2*z3 - 
    70668*z2^2*z3 - 152520*ln2*z3^2 - 195300*ln2^2*z5 - 226260*z2*z5 + 
    713985*z7)/26880, H[0, 0, 1, -1, 1, 1, -1, 1] -> 
  (967680*li7half + 161280*li6half*ln2 + 32*ln2^7 + 155520*ln2*s6 + 
    167040*s7a - 316800*s7b + 201600*li5half*z2 + 362880*li4half*ln2*z2 + 
    14112*ln2^5*z2 - 69888*ln2^3*z2^2 - 67968*ln2*z2^3 - 60480*li4half*z3 + 
    3360*ln2^4*z3 + 40320*ln2^2*z2*z3 - 10476*z2^2*z3 + 370080*ln2*z3^2 + 
    468720*ln2^2*z5 + 634500*z2*z5 - 1914975*z7)/80640, 
 H[0, 0, 1, -1, 1, 0, 1, 1] -> (264960*ln2*s6 - 264960*s7a + 272640*s7b - 
    537600*li5half*z2 + 4480*ln2^5*z2 - 44800*ln2^3*z2^2 - 79008*ln2*z2^3 - 
    215040*li4half*z3 - 8960*ln2^4*z3 + 6720*ln2^2*z2*z3 + 34176*z2^2*z3 - 
    354720*ln2*z3^2 - 520800*ln2^2*z5 - 695880*z2*z5 + 1823685*z7)/53760, 
 H[0, 0, 1, -1, 1, 0, 0, 1] -> (-23040*ln2*s6 + 23040*s7a - 30720*s7b + 
    1728*ln2*z2^3 + 24904*z2^2*z3 + 22920*ln2*z3^2 + 52080*ln2^2*z5 + 
    91920*z2*z5 - 220335*z7)/4480, H[0, 0, 1, -1, 1, 0, -1, 1] -> 
  (-115200*ln2*s6 - 153600*s7a + 330240*s7b + 80640*li5half*z2 - 
    672*ln2^5*z2 + 6720*ln2^3*z2^2 + 145008*ln2*z2^3 - 107520*li4half*z3 - 
    4480*ln2^4*z3 + 15120*ln2^2*z2*z3 + 1320*z2^2*z3 - 291120*ln2*z3^2 - 
    468720*ln2^2*z5 - 1058910*z2*z5 + 1440795*z7)/26880, 
 H[0, 0, 1, -1, 1, -1, 1, 1] -> (322560*li7half + 161280*li5half*ln2^2 - 
    1408*ln2^7 - 5760*ln2*s6 + 5760*s7a + 368640*s7b - 161280*li5half*z2 + 
    16128*ln2^5*z2 - 43008*ln2^3*z2^2 + 19872*ln2*z2^3 + 11760*ln2^4*z3 - 
    312480*ln2^2*z2*z3 - 180576*z2^2*z3 + 77760*ln2*z3^2 - 1607040*z2*z5 + 
    3055725*z7)/161280, H[0, 0, 1, -1, 1, -1, 0, 1] -> 
  (-42240*ln2*s6 + 42240*s7a - 92160*s7b + 13440*li5half*z2 - 112*ln2^5*z2 + 
    21280*ln2^3*z2^2 - 7416*ln2*z2^3 + 5880*ln2^2*z2*z3 + 51864*z2^2*z3 + 
    29280*ln2*z3^2 + 130200*ln2^2*z5 + 304215*z2*z5 - 625830*z7)/13440, 
 H[0, 0, 1, -1, 1, -1, -1, 1] -> (215040*li7half + 53760*li6half*ln2 - 
    26880*li5half*ln2^2 + 256*ln2^7 - 91200*ln2*s6 + 30720*s7a + 44160*s7b + 
    40320*li5half*z2 - 2800*ln2^5*z2 + 12544*ln2^3*z2^2 + 70752*ln2*z2^3 - 
    80640*li4half*z3 - 5320*ln2^4*z3 + 52080*ln2^2*z2*z3 + 61140*z2^2*z3 - 
    115320*ln2*z3^2 - 71610*ln2^2*z5 - 124050*z2*z5 - 169005*z7)/26880, 
 H[0, 0, 1, -1, 0, 1, 1, 1] -> (24000*ln2*s6 - 24000*s7a - 24000*s7b - 
    23640*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 26880*ln2^2*z2*z3 + 
    38358*z2^2*z3 - 27060*ln2*z3^2 - 5730*z2*z5 + 12975*z7)/13440, 
 H[0, 0, 1, -1, 0, 1, 0, 1] -> (-12800*ln2*s6 + 12800*s7a + 12800*s7b + 
    16640*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 
    22664*z2^2*z3 + 39520*ln2*z3^2 - 37600*z2*z5 + 11105*z7)/8960, 
 H[0, 0, 1, -1, 0, 1, -1, 1] -> (-5760*ln2*s6 + 3840*s7a - 7680*s7b - 
    15360*li5half*z2 - 11520*li4half*ln2*z2 - 352*ln2^5*z2 + 
    1600*ln2^3*z2^2 - 3648*ln2*z2^3 + 9600*li4half*z3 + 400*ln2^4*z3 + 
    2640*ln2^2*z2*z3 - 1056*z2^2*z3 + 8250*ln2*z3^2 + 11160*ln2^2*z5 + 
    39330*z2*z5 - 40665*z7)/1920, H[0, 0, 1, -1, 0, 0, 1, 1] -> 
  (-640*ln2*s6 + 640*s7a + 640*s7b + 112*ln2*z2^3 - 124*z2^2*z3 - 
    40*ln2*z3^2 + 4320*z2*z5 - 6805*z7)/640, H[0, 0, 1, -1, 0, 0, 0, 1] -> 
  (-2880*ln2*z2^3 - 968*z2^2*z3 + 11415*z7)/640, 
 H[0, 0, 1, -1, 0, 0, -1, 1] -> (7680*ln2*s6 + 46080*s7a - 61440*s7b - 
    23808*ln2*z2^3 + 15088*z2^2*z3 + 43320*ln2*z3^2 + 104160*ln2^2*z5 + 
    183840*z2*z5 - 280125*z7)/4480, H[0, 0, 1, -1, 0, -1, 1, 1] -> 
  (30720*ln2*s6 - 30720*s7a + 56640*s7b - 107520*li5half*z2 - 
    40320*li4half*ln2*z2 - 784*ln2^5*z2 + 1120*ln2^3*z2^2 + 1056*ln2*z2^3 - 
    10080*li4half*z3 - 420*ln2^4*z3 - 15120*ln2^2*z2*z3 - 8556*z2^2*z3 - 
    50160*ln2*z3^2 - 117180*ln2^2*z5 - 30090*z2*z5 + 207855*z7)/6720, 
 H[0, 0, 1, -1, 0, -1, 0, 1] -> (69120*ln2*s6 - 69120*s7a - 69120*s7b - 
    29376*ln2*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 + 13440*ln2^2*z2*z3 + 
    216*z2^2*z3 + 7680*ln2*z3^2 + 72840*z2*z5 - 64755*z7)/26880, 
 H[0, 0, 1, -1, 0, -1, -1, 1] -> (-9600*ln2*s6 + 23040*s7a - 71040*s7b - 
    35256*ln2*z2^3 + 36960*li4half*z3 + 1540*ln2^4*z3 - 9240*ln2^2*z2*z3 - 
    12756*z2^2*z3 + 100200*ln2*z3^2 + 156240*ln2^2*z5 + 184635*z2*z5 - 
    253725*z7)/13440, H[0, 0, 1, -1, -1, 1, 1, 1] -> 
  (-4515840*li7half - 107520*li4half*ln2^3 - 3584*ln2^7 + 495360*ln2*s6 - 
    495360*s7a + 1762560*s7b + 1290240*li5half*z2 + 322560*li4half*ln2*z2 + 
    10752*ln2^5*z2 - 146496*ln2^3*z2^2 - 16992*ln2*z2^3 + 80640*li4half*z3 + 
    26880*ln2^4*z3 - 413280*ln2^2*z2*z3 - 795024*z2^2*z3 - 689760*ln2*z3^2 - 
    2187360*ln2^2*z5 - 7289280*z2*z5 + 15577875*z7)/322560, 
 H[0, 0, 1, -1, -1, 1, 0, 1] -> (960*ln2*s6 - 960*s7a - 1920*s7b - 
    480*li4half*ln2*z2 - 20*ln2^5*z2 + 120*ln2^3*z2^2 - 198*ln2*z2^3 + 
    210*ln2^2*z2*z3 + 993*z2^2*z3 + 165*ln2*z3^2 + 930*ln2^2*z5 + 
    5670*z2*z5 - 12435*z7)/480, H[0, 0, 1, -1, -1, 1, -1, 1] -> 
  (215040*li7half - 53760*li6half*ln2 + 8960*li4half*ln2^3 + 256*ln2^7 - 
    56640*ln2*s6 + 23040*s7a - 97920*s7b + 13440*li5half*z2 + 
    53760*li4half*ln2*z2 + 1904*ln2^5*z2 + 448*ln2^3*z2^2 - 3936*ln2*z2^3 + 
    40320*li4half*z3 - 280*ln2^4*z3 + 55440*ln2^2*z2*z3 - 8724*z2^2*z3 + 
    110490*ln2*z3^2 + 117180*ln2^2*z5 + 284490*z2*z5 - 659025*z7)/26880, 
 H[0, 0, 1, -1, -1, 0, 1, 1] -> (-41280*ln2*s6 + 41280*s7a - 25920*s7b - 
    26880*li4half*ln2*z2 - 1120*ln2^5*z2 + 6720*ln2^3*z2^2 + 2088*ln2*z2^3 + 
    43680*li4half*z3 + 1820*ln2^4*z3 + 840*ln2^2*z2*z3 - 4812*z2^2*z3 + 
    36900*ln2*z3^2 + 65100*ln2^2*z5 + 145440*z2*z5 - 230385*z7)/13440, 
 H[0, 0, 1, -1, -1, 0, 0, 1] -> (8640*ln2*s6 - 8640*s7a + 11520*s7b - 
    648*ln2*z2^3 - 11760*li4half*z3 - 490*ln2^4*z3 + 2940*ln2^2*z2*z3 - 
    3543*z2^2*z3 - 16680*ln2*z3^2 - 19530*ln2^2*z5 - 34470*z2*z5 + 77100*z7)/
   3360, H[0, 0, 1, -1, -1, 0, -1, 1] -> 
  (69120*ln2*s6 + 92160*s7a - 203520*s7b - 107520*li5half*z2 - 
    26880*li4half*ln2*z2 - 224*ln2^5*z2 - 2240*ln2^3*z2^2 - 85248*ln2*z2^3 - 
    87360*li4half*z3 - 3640*ln2^4*z3 + 33600*ln2^2*z2*z3 + 126048*z2^2*z3 - 
    4080*ln2*z3^2 + 286440*ln2^2*z5 + 706830*z2*z5 - 1100685*z7)/26880, 
 H[0, 0, 1, -1, -1, -1, 1, 1] -> (-1935360*li7half + 322560*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 2176*ln2^7 + 80640*ln2*s6 - 80640*s7a + 
    1370880*s7b - 1612800*li5half*z2 - 1451520*li4half*ln2*z2 - 
    55104*ln2^5*z2 + 243264*ln2^3*z2^2 + 193824*ln2*z2^3 + 
    846720*li4half*z3 + 11760*ln2^4*z3 - 604800*ln2^2*z2*z3 - 
    565488*z2^2*z3 - 594720*ln2*z3^2 - 2656080*ln2^2*z5 - 1249920*z2*z5 + 
    6613425*z7)/322560, H[0, 0, 1, -1, -1, -1, 0, 1] -> 
  (82560*ln2*s6 - 82560*s7a + 11520*s7b + 26880*li5half*z2 + 
    26880*li4half*ln2*z2 + 896*ln2^5*z2 - 14560*ln2^3*z2^2 - 7536*ln2*z2^3 - 
    100800*li4half*z3 - 4200*ln2^4*z3 + 13440*ln2^2*z2*z3 + 1308*z2^2*z3 - 
    56160*ln2*z3^2 - 91140*ln2^2*z5 - 140940*z2*z5 + 237435*z7)/26880, 
 H[0, 0, 1, -1, -1, -1, -1, 1] -> (-645120*li7half - 322560*li6half*ln2 - 
    161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 1216*ln2^7 + 80640*ln2*s6 - 
    403200*s7b - 241920*li5half*z2 + 6048*ln2^5*z2 - 53088*ln2^3*z2^2 - 
    318816*ln2*z2^3 - 60480*li4half*z3 + 9240*ln2^4*z3 + 15120*ln2^2*z2*z3 + 
    132048*z2^2*z3 + 207900*ln2*z3^2 + 1015560*ln2^2*z5 + 1199520*z2*z5 - 
    1082655*z7)/161280, H[0, 0, 0, 1, 1, 1, 1, 1] -> 
  (-(z2^2*z3) - 4*z2*z5 + 10*z7)/2, H[0, 0, 0, 1, 1, 1, 0, 1] -> 
  (168*z2^2*z3 - 545*z7)/80, H[0, 0, 0, 1, 1, 1, -1, 1] -> 
  (7680*ln2*s6 + 72960*s7a - 88320*s7b + 53760*li5half*z2 - 448*ln2^5*z2 + 
    11200*ln2^3*z2^2 + 2784*ln2*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 - 
    30240*ln2^2*z2*z3 + 88896*z2^2*z3 - 9600*ln2*z3^2 + 156240*ln2^2*z5 + 
    236760*z2*z5 - 610035*z7)/53760, H[0, 0, 0, 1, 1, 0, 1, 1] -> 
  (-12*z2^2*z3 + 20*z2*z5 + 5*z7)/8, H[0, 0, 0, 1, 1, 0, 0, 1] -> 
  (-4*z2^2*z3 + 15*z7)/5, H[0, 0, 0, 1, 1, 0, -1, 1] -> 
  (1280*ln2*s6 - 1280*s7a - 1280*s7b - 224*ln2*z2^3 - 269*z2^2*z3 + 
    360*ln2*z3^2 + 4075*z2*z5 - 6455*z7)/1120, 
 H[0, 0, 0, 1, 1, -1, 1, 1] -> (99840*ln2*s6 - 99840*s7a + 7680*s7b + 
    53760*li5half*z2 + 80640*li4half*ln2*z2 + 2912*ln2^5*z2 - 
    25760*ln2^3*z2^2 - 96*ln2*z2^3 - 114240*li4half*z3 - 4760*ln2^4*z3 + 
    68880*ln2^2*z2*z3 + 17280*z2^2*z3 - 124800*ln2*z3^2 - 143220*ln2^2*z5 - 
    50280*z2*z5 - 8205*z7)/26880, H[0, 0, 0, 1, 1, -1, 0, 1] -> 
  (-33280*ln2*s6 + 33280*s7a - 2560*s7b + 928*ln2*z2^3 + 26880*li4half*z3 + 
    1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 8392*z2^2*z3 + 41600*ln2*z3^2 + 
    34720*ln2^2*z5 - 4380*z2*z5 + 18975*z7)/8960, 
 H[0, 0, 0, 1, 1, -1, -1, 1] -> (-10080*ln2*s6 - 6720*s7a + 6720*s7b + 
    13440*li5half*z2 - 112*ln2^5*z2 + 2800*ln2^3*z2^2 + 7152*ln2*z2^3 + 
    8400*li4half*z3 + 350*ln2^4*z3 - 7140*ln2^2*z2*z3 - 5292*z2^2*z3 + 
    5985*ln2*z3^2 - 3255*ln2^2*z5 - 36225*z2*z5 + 33600*z7)/6720, 
 H[0, 0, 0, 1, 0, 1, 1, 1] -> (112*z2^2*z3 + 440*z2*z5 - 1105*z7)/80, 
 H[0, 0, 0, 1, 0, 1, 0, 1] -> (-2*(8*z2^2*z3 - 25*z7))/5, 
 H[0, 0, 0, 1, 0, 1, -1, 1] -> (-12800*ln2*s6 - 23040*s7a + 48640*s7b + 
    15200*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 
    35376*z2^2*z3 + 320*ln2*z3^2 - 69440*ln2^2*z5 - 150860*z2*z5 + 283545*z7)/
   8960, H[0, 0, 0, 1, 0, 0, 1, 1] -> -10*z2*z5 + 17*z7, 
 H[0, 0, 0, 1, 0, 0, 0, 1] -> -20*z7, H[0, 0, 0, 1, 0, 0, -1, 1] -> 
  (36*z2^2*z3 + 52*z2*z5 - 199*z7)/64, H[0, 0, 0, 1, 0, -1, 1, 1] -> 
  (-99840*ln2*s6 + 99840*s7a - 7680*s7b - 21408*ln2*z2^3 + 
    107520*li4half*z3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 36096*z2^2*z3 + 
    124800*ln2*z3^2 + 208320*ln2^2*z5 - 95880*z2*z5 + 245085*z7)/26880, 
 H[0, 0, 0, 1, 0, -1, 0, 1] -> (39*z2^2*z3 + 155*z2*z5 - 400*z7)/40, 
 H[0, 0, 0, 1, 0, -1, -1, 1] -> (12800*ln2*s6 + 23040*s7a - 12800*s7b - 
    2240*ln2*z2^3 + 6088*z2^2*z3 + 3600*ln2*z3^2 + 57480*z2*z5 - 87405*z7)/
   8960, H[0, 0, 0, 1, -1, 1, 1, 1] -> 
  (-126720*ln2*s6 + 126720*s7a - 142080*s7b + 107520*li5half*z2 - 
    896*ln2^5*z2 + 29120*ln2^3*z2^2 + 18912*ln2*z2^3 + 161280*li4half*z3 + 
    6720*ln2^4*z3 - 10080*ln2^2*z2*z3 + 65376*z2^2*z3 + 158400*ln2*z3^2 + 
    260400*ln2^2*z5 + 559320*z2*z5 - 1356795*z7)/53760, 
 H[0, 0, 0, 1, -1, 1, 0, 1] -> (23040*ln2*s6 - 23040*s7a + 48640*s7b - 
    2400*ln2*z2^3 - 36216*z2^2*z3 - 28800*ln2*z3^2 - 69440*ln2^2*z5 - 
    145120*z2*z5 + 345285*z7)/8960, H[0, 0, 0, 1, -1, 1, -1, 1] -> 
  (5600*ln2*s6 - 1120*ln2^3*z2^2 - 1124*ln2*z2^3 - 2520*ln2^2*z2*z3 - 
    2072*z2^2*z3 + 2065*ln2*z3^2 - 2100*z2*z5 + 11200*z7)/2240, 
 H[0, 0, 0, 1, -1, 0, 1, 1] -> (7680*ln2*s6 - 7680*s7a - 7680*s7b - 
    4944*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    6618*z2^2*z3 - 9600*ln2*z3^2 - 26790*z2*z5 + 54615*z7)/6720, 
 H[0, 0, 0, 1, -1, 0, 0, 1] -> (1440*ln2*z2^3 + 348*z2^2*z3 - 5405*z7)/320, 
 H[0, 0, 0, 1, -1, 0, -1, 1] -> (-12800*ln2*s6 - 23040*s7a + 48640*s7b + 
    18176*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 3360*ln2^2*z2*z3 - 
    17484*z2^2*z3 - 21240*ln2*z3^2 - 69440*ln2^2*z5 - 139870*z2*z5 + 
    224815*z7)/4480, H[0, 0, 0, 1, -1, -1, 1, 1] -> 
  (-960*ln2*s6 + 960*s7a - 960*s7b + 3840*li5half*z2 + 2880*li4half*ln2*z2 + 
    88*ln2^5*z2 - 400*ln2^3*z2^2 - 576*ln2*z2^3 - 1200*li4half*z3 - 
    50*ln2^4*z3 + 840*ln2^2*z2*z3 + 84*z2^2*z3 + 1200*ln2*z3^2 + 
    4185*ln2^2*z5 - 5085*z2*z5 + 4800*z7)/960, 
 H[0, 0, 0, 1, -1, -1, 0, 1] -> (-23040*ln2*s6 + 23040*s7a - 12800*s7b + 
    4416*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 + 
    8496*z2^2*z3 + 28800*ln2*z3^2 + 34720*ln2^2*z5 + 60420*z2*z5 - 149145*z7)/
   8960, H[0, 0, 0, 1, -1, -1, -1, 1] -> 
  (-1440*ln2*s6 + 3840*s7b + 960*li5half*z2 - 8*ln2^5*z2 + 200*ln2^3*z2^2 + 
    1920*ln2*z2^3 + 1920*li4half*z3 + 80*ln2^4*z3 - 480*ln2^2*z2*z3 - 
    1512*z2^2*z3 - 1140*ln2*z3^2 - 6045*ln2^2*z5 - 10500*z2*z5 + 16215*z7)/
   960, H[0, 0, 0, 0, 1, 1, 1, 1] -> (-(z2^2*z3) - 4*z2*z5 + 10*z7)/2, 
 H[0, 0, 0, 0, 1, 1, 0, 1] -> (2*(3*z2^2*z3 - 10*z7))/5, 
 H[0, 0, 0, 0, 1, 1, -1, 1] -> (320*ln2*s6 - 320*s7b - 128*ln2*z2^3 - 
    480*li4half*z3 - 20*ln2^4*z3 + 120*ln2^2*z2*z3 + 410*z2^2*z3 - 
    400*ln2*z3^2 + 310*ln2^2*z5 + 1095*z2*z5 - 2240*z7)/320, 
 H[0, 0, 0, 0, 1, 0, 1, 1] -> (4*z2^2*z3 + 25*z2*z5 - 55*z7)/5, 
 H[0, 0, 0, 0, 1, 0, 0, 1] -> 15*z7, H[0, 0, 0, 0, 1, 0, -1, 1] -> 
  (-336*z2^2*z3 - 880*z2*z5 + 2595*z7)/640, H[0, 0, 0, 0, 1, -1, 1, 1] -> 
  (-640*s7b + 288*ln2*z2^3 + 704*z2^2*z3 + 3800*z2*z5 - 8925*z7)/640, 
 H[0, 0, 0, 0, 1, -1, 0, 1] -> (-1440*ln2*z2^3 - 504*z2^2*z3 - 620*z2*z5 + 
    7005*z7)/640, H[0, 0, 0, 0, 1, -1, -1, 1] -> 
  (640*ln2*s6 - 1280*s7b - 688*ln2*z2^3 - 960*li4half*z3 - 40*ln2^4*z3 + 
    240*ln2^2*z2*z3 + 364*z2^2*z3 + 180*ln2*z3^2 + 1860*ln2^2*z5 + 
    2890*z2*z5 - 3805*z7)/640, H[0, 0, 0, 0, 0, 1, 1, 1] -> 
  (-2*z2^2*z3 - 5*z2*z5 + 15*z7)/5, H[0, 0, 0, 0, 0, 1, 0, 1] -> -6*z7, 
 H[0, 0, 0, 0, 0, 1, -1, 1] -> 
  (3*(24*ln2*z2^3 + 14*z2^2*z3 + 25*z2*z5 - 160*z7))/160, 
 H[0, 0, 0, 0, 0, 0, 1, 1] -> z7, H[0, 0, 0, 0, 0, 0, 0, 1] -> 0, 
 H[0, 0, 0, 0, 0, 0, -1, 1] -> (63*z7)/64, H[0, 0, 0, 0, 0, -1, 1, 1] -> 
  (-288*ln2*z2^3 - 192*z2^2*z3 - 600*z2*z5 + 2525*z7)/640, 
 H[0, 0, 0, 0, 0, -1, 0, 1] -> (-189*z7)/32, H[0, 0, 0, 0, 0, -1, -1, 1] -> 
  (224*z2^2*z3 + 320*z2*z5 - 1255*z7)/640, H[0, 0, 0, 0, -1, 1, 1, 1] -> 
  (960*ln2*s6 - 960*s7a - 384*ln2*z2^3 - 1920*li4half*z3 - 80*ln2^4*z3 + 
    480*ln2^2*z2*z3 + 24*z2^2*z3 - 1200*ln2*z3^2 - 930*ln2^2*z5 - 
    2760*z2*z5 + 6615*z7)/960, H[0, 0, 0, 0, -1, 1, 0, 1] -> 
  (3*(240*ln2*z2^3 + 96*z2^2*z3 - 1055*z7))/320, 
 H[0, 0, 0, 0, -1, 1, -1, 1] -> (-320*ln2*s6 + 200*ln2*z2^3 + 226*z2^2*z3 - 
    90*ln2*z3^2 + 320*z2*z5 - 1575*z7)/320, H[0, 0, 0, 0, -1, 0, 1, 1] -> 
  (384*z2^2*z3 + 3000*z2*z5 - 6295*z7)/640, H[0, 0, 0, 0, -1, 0, 0, 1] -> 
  (945*z7)/64, H[0, 0, 0, 0, -1, 0, -1, 1] -> 
  (-112*z2^2*z3 - 245*z2*z5 + 780*z7)/160, H[0, 0, 0, 0, -1, -1, 1, 1] -> 
  (3840*ln2*s6 - 3840*s7a + 192*ln2*z2^3 - 3840*li4half*z3 - 160*ln2^4*z3 + 
    960*ln2^2*z2*z3 + 2400*z2^2*z3 - 4800*ln2*z3^2 - 5580*ln2^2*z5 + 
    3480*z2*z5 - 11415*z7)/1920, H[0, 0, 0, 0, -1, -1, 0, 1] -> 
  (-672*z2^2*z3 - 620*z2*z5 + 3155*z7)/640, H[0, 0, 0, 0, -1, -1, -1, 1] -> 
  (-640*s7a - 224*z2^2*z3 - 660*z2*z5 + 1235*z7)/640, 
 H[0, 0, 0, -1, 1, 1, 1, 1] -> (9600*ln2*s6 - 9600*s7a - 7680*li5half*z2 + 
    64*ln2^5*z2 - 1120*ln2^3*z2^2 - 4224*ln2*z2^3 - 19200*li4half*z3 - 
    800*ln2^4*z3 + 4800*ln2^2*z2*z3 + 4080*z2^2*z3 - 12000*ln2*z3^2 - 
    9300*ln2^2*z5 - 7500*z2*z5 + 28275*z7)/3840, 
 H[0, 0, 0, -1, 1, 1, 0, 1] -> (-76800*ln2*s6 + 76800*s7a - 30720*s7b + 
    23232*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 + 
    32184*z2^2*z3 + 96000*ln2*z3^2 + 104160*ln2^2*z5 + 93600*z2*z5 - 
    366705*z7)/26880, H[0, 0, 0, -1, 1, 1, -1, 1] -> 
  (-11040*ln2*s6 + 960*s7a + 4320*s7b - 13440*li5half*z2 - 
    20160*li4half*ln2*z2 - 728*ln2^5*z2 + 3920*ln2^3*z2^2 + 5868*ln2*z2^3 + 
    3360*li4half*z3 + 140*ln2^4*z3 - 4620*ln2^2*z2*z3 + 3063*z2^2*z3 - 
    6780*ln2*z3^2 - 3255*ln2^2*z5 + 6945*z2*z5 - 5370*z7)/6720, 
 H[0, 0, 0, -1, 1, 0, 1, 1] -> (-7680*ln2*s6 + 7680*s7a + 7680*s7b + 
    4944*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 
    11700*z2^2*z3 + 9600*ln2*z3^2 + 25740*z2*z5 - 36345*z7)/6720, 
 H[0, 0, 0, -1, 1, 0, 0, 1] -> (-3*(960*ln2*z2^3 + 248*z2^2*z3 - 3805*z7))/
   640, H[0, 0, 0, -1, 1, 0, -1, 1] -> 
  (6400*ln2*s6 + 11520*s7a - 24320*s7b - 9088*ln2*z2^3 - 6720*li4half*z3 - 
    280*ln2^4*z3 + 1680*ln2^2*z2*z3 + 7286*z2^2*z3 + 10620*ln2*z3^2 + 
    34720*ln2^2*z5 + 69760*z2*z5 - 107385*z7)/2240, 
 H[0, 0, 0, -1, 1, -1, 1, 1] -> (160*ln2*s6 - 160*s7a - 2960*s7b + 
    560*ln2^3*z2^2 + 44*ln2*z2^3 + 1260*ln2^2*z2*z3 + 1887*z2^2*z3 - 
    200*ln2*z3^2 + 13595*z2*z5 - 27945*z7)/1120, 
 H[0, 0, 0, -1, 1, -1, 0, 1] -> (23040*ln2*s6 - 23040*s7a + 48640*s7b - 
    2400*ln2*z2^3 - 31064*z2^2*z3 - 28800*ln2*z3^2 - 69440*ln2^2*z5 - 
    166820*z2*z5 + 365445*z7)/8960, H[0, 0, 0, -1, 1, -1, -1, 1] -> 
  (35520*ln2*s6 - 1920*s7a - 48960*s7b - 13440*li5half*z2 + 112*ln2^5*z2 - 
    6160*ln2^3*z2^2 - 26544*ln2*z2^3 - 30240*li4half*z3 - 1260*ln2^4*z3 + 
    11808*z2^2*z3 + 9990*ln2*z3^2 + 78120*ln2^2*z5 + 128595*z2*z5 - 
    163245*z7)/13440, H[0, 0, 0, -1, 0, 1, 1, 1] -> 
  (568*z2^2*z3 + 5360*z2*z5 - 10895*z7)/1280, H[0, 0, 0, -1, 0, 1, 0, 1] -> 
  (-3*(136*z2^2*z3 - 415*z7))/320, H[0, 0, 0, -1, 0, 1, -1, 1] -> 
  (-12800*ln2*s6 - 23040*s7a + 48640*s7b + 16352*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 23392*z2^2*z3 - 
    3600*ln2*z3^2 - 69440*ln2^2*z5 - 148060*z2*z5 + 240495*z7)/8960, 
 H[0, 0, 0, -1, 0, 0, 1, 1] -> (-72*z2^2*z3 - 1200*z2*z5 + 2269*z7)/128, 
 H[0, 0, 0, -1, 0, 0, 0, 1] -> (-315*z7)/16, H[0, 0, 0, -1, 0, 0, -1, 1] -> 
  (3*(48*z2*z5 - 79*z7))/128, H[0, 0, 0, -1, 0, -1, 1, 1] -> 
  (-15360*ln2*s6 + 15360*s7a - 3360*ln2*z2^3 + 15360*li4half*z3 + 
    640*ln2^4*z3 - 3840*ln2^2*z2*z3 - 10944*z2^2*z3 + 19200*ln2*z3^2 + 
    29760*ln2^2*z5 - 19320*z2*z5 + 63405*z7)/3840, 
 H[0, 0, 0, -1, 0, -1, 0, 1] -> (896*z2^2*z3 + 1240*z2*z5 - 5055*z7)/320, 
 H[0, 0, 0, -1, 0, -1, -1, 1] -> (10240*ln2*s6 + 25600*s7a - 10240*s7b - 
    1792*ln2*z2^3 + 12352*z2^2*z3 + 2880*ln2*z3^2 + 55840*z2*z5 - 103965*z7)/
   8960, H[0, 0, 0, -1, -1, 1, 1, 1] -> 
  (13440*ln2*s6 - 13440*s7a - 15360*li5half*z2 + 128*ln2^5*z2 - 
    2240*ln2^3*z2^2 - 4704*ln2*z2^3 - 15360*li4half*z3 - 640*ln2^4*z3 + 
    6720*ln2^2*z2*z3 + 7560*z2^2*z3 - 16800*ln2*z3^2 - 13020*ln2^2*z5 + 
    17940*z2*z5 - 21015*z7)/3840, H[0, 0, 0, -1, -1, 1, 0, 1] -> 
  (-15360*ln2*s6 + 15360*s7a + 1824*ln2*z2^3 + 15360*li4half*z3 + 
    640*ln2^4*z3 - 3840*ln2^2*z2*z3 - 7512*z2^2*z3 + 19200*ln2*z3^2 + 
    14880*ln2^2*z5 + 480*z2*z5 + 10275*z7)/3840, 
 H[0, 0, 0, -1, -1, 1, -1, 1] -> (-35520*ln2*s6 + 1920*s7a + 22080*s7b - 
    13440*li5half*z2 - 40320*li4half*ln2*z2 - 1568*ln2^5*z2 + 
    14000*ln2^3*z2^2 + 16128*ln2*z2^3 + 36960*li4half*z3 + 1540*ln2^4*z3 - 
    29400*ln2^2*z2*z3 - 11766*z2^2*z3 + 31170*ln2*z3^2 - 19530*ln2^2*z5 - 
    49635*z2*z5 + 81765*z7)/13440, H[0, 0, 0, -1, -1, 0, 1, 1] -> 
  (-31*z2^2*z3 - 375*z2*z5 + 735*z7)/160, H[0, 0, 0, -1, -1, 0, 0, 1] -> 
  (448*z2^2*z3 - 1255*z7)/640, H[0, 0, 0, -1, -1, 0, -1, 1] -> 
  (-2560*ln2*s6 + 2560*s7a + 2560*s7b + 448*ln2*z2^3 - 2808*z2^2*z3 - 
    720*ln2*z3^2 - 7975*z2*z5 + 23445*z7)/2240, 
 H[0, 0, 0, -1, -1, -1, 1, 1] -> (-1920*ln2*s6 + 1920*s7a - 7680*li5half*z2 + 
    64*ln2^5*z2 - 1120*ln2^3*z2^2 - 3360*ln2*z2^3 + 3840*li4half*z3 + 
    160*ln2^4*z3 + 1920*ln2^2*z2*z3 - 3576*z2^2*z3 + 2400*ln2*z3^2 + 
    7440*ln2^2*z5 - 1560*z2*z5 + 24645*z7)/3840, 
 H[0, 0, 0, -1, -1, -1, 0, 1] -> (1632*z2^2*z3 + 1860*z2*z5 - 8425*z7)/1280, 
 H[0, 0, 0, -1, -1, -1, -1, 1] -> (1920*s7a + 32*z2^2*z3 + 1340*z2*z5 - 
    555*z7)/1280, H[0, 0, -1, 1, 1, 1, 1, 1] -> 
  (80640*li7half - 16*ln2^7 + 80640*ln2*s6 - 80640*s7a - 120960*li5half*z2 + 
    1344*ln2^5*z2 - 9408*ln2^3*z2^2 - 37728*ln2*z2^3 - 161280*li4half*z3 - 
    6720*ln2^4*z3 + 40320*ln2^2*z2*z3 + 30744*z2^2*z3 - 100800*ln2*z3^2 - 
    78120*ln2^2*z5 - 1260*z2*z5 + 157815*z7)/40320, 
 H[0, 0, -1, 1, 1, 1, 0, 1] -> (-5120*ln2*s6 + 5120*s7a - 1280*s7b + 
    960*ln2^3*z2^2 + 2336*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 
    3360*ln2^2*z2*z3 + 1504*z2^2*z3 + 6400*ln2*z3^2 + 6200*ln2^2*z5 + 
    3960*z2*z5 - 24665*z7)/2560, H[0, 0, -1, 1, 1, 1, -1, 1] -> 
  (1290240*li7half + 645120*li6half*ln2 + 640*ln2^7 - 737280*ln2*s6 + 
    576000*s7a - 472320*s7b - 645120*li5half*z2 - 1451520*li4half*ln2*z2 - 
    63168*ln2^5*z2 + 323904*ln2^3*z2^2 + 380448*ln2*z2^3 + 
    483840*li4half*z3 + 20160*ln2^4*z3 - 514080*ln2^2*z2*z3 + 
    282960*z2^2*z3 + 304200*ln2*z3^2 + 1015560*ln2^2*z5 + 2206440*z2*z5 - 
    4659975*z7)/322560, H[0, 0, -1, 1, 1, 0, 1, 1] -> 
  (-31680*ln2*s6 + 31680*s7a - 1920*s7b + 40320*li5half*z2 - 336*ln2^5*z2 + 
    3360*ln2^3*z2^2 + 5400*ln2*z2^3 + 21840*li4half*z3 + 910*ln2^4*z3 - 
    5460*ln2^2*z2*z3 - 21540*z2^2*z3 + 39600*ln2*z3^2 + 32550*ln2^2*z5 + 
    8895*z2*z5 - 9000*z7)/6720, H[0, 0, -1, 1, 1, 0, 0, 1] -> 
  (16000*ln2*s6 - 16000*s7a + 10880*s7b - 1648*ln2*z2^3 - 6720*li4half*z3 - 
    280*ln2^4*z3 + 1680*ln2^2*z2*z3 - 7468*z2^2*z3 - 20000*ln2*z3^2 - 
    26040*ln2^2*z5 - 32800*z2*z5 + 83235*z7)/4480, 
 H[0, 0, -1, 1, 1, 0, -1, 1] -> (43200*ln2*s6 + 37440*s7a - 110400*s7b - 
    13440*li5half*z2 + 112*ln2^5*z2 - 1120*ln2^3*z2^2 - 44952*ln2*z2^3 - 
    20160*li4half*z3 - 840*ln2^4*z3 + 5040*ln2^2*z2*z3 + 28674*z2^2*z3 + 
    54780*ln2*z3^2 + 143220*ln2^2*z5 + 347400*z2*z5 - 528945*z7)/13440, 
 H[0, 0, -1, 1, 1, -1, 1, 1] -> (-645120*li7half + 107520*li5half*ln2^2 - 
    768*ln2^7 + 330240*ln2*s6 - 330240*s7a + 395520*s7b + 
    322560*li4half*ln2*z2 + 19712*ln2^5*z2 - 100800*ln2^3*z2^2 - 
    73056*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 288960*ln2^2*z2*z3 - 
    184944*z2^2*z3 - 412800*ln2*z3^2 - 1119720*ln2^2*z5 - 823320*z2*z5 + 
    2222865*z7)/107520, H[0, 0, -1, 1, 1, -1, 0, 1] -> 
  (-36480*ln2*s6 + 36480*s7a + 36480*s7b + 26880*li5half*z2 - 224*ln2^5*z2 + 
    2240*ln2^3*z2^2 + 3408*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 - 
    10080*ln2^2*z2*z3 - 31068*z2^2*z3 + 45600*ln2*z3^2 - 211320*z2*z5 + 
    383625*z7)/26880, H[0, 0, -1, 1, 1, -1, -1, 1] -> 
  (645120*li7half + 80640*li6half*ln2 - 40320*li5half*ln2^2 + 320*ln2^7 - 
    93600*ln2*s6 + 144000*s7a - 299520*s7b + 80640*li5half*z2 - 
    3024*ln2^5*z2 + 20664*ln2^3*z2^2 + 14616*ln2*z2^3 - 10080*li4half*z3 - 
    420*ln2^4*z3 - 46620*ln2^2*z2*z3 + 84474*z2^2*z3 + 251505*ln2*z3^2 + 
    585900*ln2^2*z5 + 766125*z2*z5 - 2020770*z7)/40320, 
 H[0, 0, -1, 1, 0, 1, 1, 1] -> (11520*ln2*s6 - 11520*s7a - 11520*s7b + 
    75744*ln2*z2^3 + 255360*li4half*z3 + 10640*ln2^4*z3 - 63840*ln2^2*z2*z3 - 
    5760*z2^2*z3 - 14400*ln2*z3^2 + 249720*z2*z5 - 728415*z7)/53760, 
 H[0, 0, -1, 1, 0, 1, 0, 1] -> (12800*ln2*s6 - 12800*s7a - 12800*s7b - 
    16640*ln2*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 20160*ln2^2*z2*z3 + 
    15664*z2^2*z3 - 16000*ln2*z3^2 + 37600*z2*z5 - 23985*z7)/8960, 
 H[0, 0, -1, 1, 0, 1, -1, 1] -> (40320*ln2*s6 - 26880*s7a + 53760*s7b + 
    107520*li5half*z2 + 120960*li4half*ln2*z2 + 4144*ln2^5*z2 - 
    21280*ln2^3*z2^2 + 19128*ln2*z2^3 - 29232*z2^2*z3 - 26880*ln2*z3^2 - 
    78120*ln2^2*z5 - 266910*z2*z5 + 302925*z7)/13440, 
 H[0, 0, -1, 1, 0, 0, 1, 1] -> (-480*ln2*s6 + 480*s7a + 480*s7b + 
    84*ln2*z2^3 + 960*li4half*z3 + 40*ln2^4*z3 - 240*ln2^2*z2*z3 - 
    696*z2^2*z3 + 600*ln2*z3^2 - 6060*z2*z5 + 11565*z7)/480, 
 H[0, 0, -1, 1, 0, 0, 0, 1] -> (1440*ln2*z2^3 + 252*z2^2*z3 - 5405*z7)/320, 
 H[0, 0, -1, 1, 0, 0, -1, 1] -> (-3840*ln2*s6 - 23040*s7a + 30720*s7b + 
    11904*ln2*z2^3 + 3360*li4half*z3 + 140*ln2^4*z3 - 840*ln2^2*z2*z3 - 
    9168*z2^2*z3 - 18720*ln2*z3^2 - 52080*ln2^2*z5 - 91920*z2*z5 + 141165*z7)/
   2240, H[0, 0, -1, 1, 0, -1, 1, 1] -> 
  (-132480*ln2*s6 + 132480*s7a - 216960*s7b + 430080*li5half*z2 + 
    80640*li4half*ln2*z2 - 224*ln2^5*z2 + 15680*ln2^3*z2^2 + 10272*ln2*z2^3 - 
    60480*li4half*z3 - 2520*ln2^4*z3 + 15120*ln2^2*z2*z3 + 85056*z2^2*z3 + 
    165600*ln2*z3^2 + 468720*ln2^2*z5 + 58560*z2*z5 - 758385*z7)/26880, 
 H[0, 0, -1, 1, 0, -1, 0, 1] -> (-23040*ln2*s6 + 23040*s7a + 23040*s7b + 
    9792*ln2*z2^3 + 53760*li4half*z3 + 2240*ln2^4*z3 - 13440*ln2^2*z2*z3 - 
    13008*z2^2*z3 + 28800*ln2*z3^2 - 24280*z2*z5 + 16685*z7)/8960, 
 H[0, 0, -1, 1, 0, -1, -1, 1] -> (9600*ln2*s6 - 36480*s7a + 151680*s7b + 
    72192*ln2*z2^3 + 73920*li4half*z3 + 3080*ln2^4*z3 - 18480*ln2^2*z2*z3 - 
    69480*z2^2*z3 - 73740*ln2*z3^2 - 312480*ln2^2*z5 - 375210*z2*z5 + 
    640755*z7)/26880, H[0, 0, -1, 1, -1, 1, 1, 1] -> 
  (-120960*li7half + 6720*li4half*ln2^3 + 304*ln2^7 + 14400*ln2*s6 - 
    14400*s7a - 105120*s7b + 60480*li5half*z2 - 20160*li4half*ln2*z2 - 
    3528*ln2^5*z2 + 12516*ln2^3*z2^2 - 6480*ln2*z2^3 - 10080*li4half*z3 - 
    420*ln2^4*z3 + 17640*ln2^2*z2*z3 + 77976*z2^2*z3 - 18000*ln2*z3^2 + 
    87885*ln2^2*z5 + 320760*z2*z5 - 715770*z7)/20160, 
 H[0, 0, -1, 1, -1, 1, 0, 1] -> (21120*ln2*s6 - 21120*s7a + 46080*s7b + 
    6720*li4half*ln2*z2 + 280*ln2^5*z2 - 11760*ln2^3*z2^2 + 3708*ln2*z2^3 - 
    13440*li4half*z3 - 560*ln2^4*z3 + 3360*ln2^2*z2*z3 - 23580*z2^2*z3 - 
    26400*ln2*z3^2 - 65100*ln2^2*z5 - 137460*z2*z5 + 286035*z7)/6720, 
 H[0, 0, -1, 1, -1, 1, -1, 1] -> (-13440*li6half*ln2 - 2240*li4half*ln2^3 - 
    112*ln2^7 + 15120*ln2*s6 + 6720*li4half*ln2*z2 + 1120*ln2^5*z2 - 
    2912*ln2^3*z2^2 - 1860*ln2*z2^3 - 3360*li4half*z3 - 140*ln2^4*z3 - 
    9240*ln2^2*z2*z3 - 2814*z2^2*z3 + 4620*ln2*z3^2 - 3360*z2*z5 + 19845*z7)/
   6720, H[0, 0, -1, 1, -1, 0, 1, 1] -> 
  (25920*ln2*s6 - 25920*s7a + 108480*s7b - 107520*li5half*z2 + 
    26880*li4half*ln2*z2 + 2016*ln2^5*z2 - 15680*ln2^3*z2^2 - 
    12696*ln2*z2^3 + 23520*li4half*z3 + 980*ln2^4*z3 - 5880*ln2^2*z2*z3 - 
    63024*z2^2*z3 - 32400*ln2*z3^2 - 130200*ln2^2*z5 - 307740*z2*z5 + 
    784125*z7)/13440, H[0, 0, -1, 1, -1, 0, 0, 1] -> 
  (-23040*ln2*s6 + 23040*s7a - 30720*s7b + 1728*ln2*z2^3 + 6720*li4half*z3 + 
    280*ln2^4*z3 - 1680*ln2^2*z2*z3 + 17568*z2^2*z3 + 28800*ln2*z3^2 + 
    52080*ln2^2*z5 + 91920*z2*z5 - 205355*z7)/4480, 
 H[0, 0, -1, 1, -1, 0, -1, 1] -> (-115200*ln2*s6 - 153600*s7a + 330240*s7b + 
    107520*li5half*z2 + 26880*li4half*ln2*z2 + 224*ln2^5*z2 + 
    2240*ln2^3*z2^2 + 145008*ln2*z2^3 + 67200*li4half*z3 + 2800*ln2^4*z3 - 
    16800*ln2^2*z2*z3 - 120480*z2^2*z3 - 138240*ln2*z3^2 - 468720*ln2^2*z5 - 
    1074240*z2*z5 + 1593675*z7)/26880, H[0, 0, -1, 1, -1, -1, 1, 1] -> 
  (-4515840*li7half + 322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 
    6272*ln2^7 + 852480*ln2*s6 - 852480*s7a + 1486080*s7b + 
    1290240*li5half*z2 + 1451520*li4half*ln2*z2 + 84672*ln2^5*z2 - 
    452928*ln2^3*z2^2 - 573984*ln2*z2^3 - 524160*li4half*z3 - 
    21840*ln2^4*z3 + 372960*ln2^2*z2*z3 - 599616*z2^2*z3 - 1065600*ln2*z3^2 - 
    1562400*ln2^2*z5 - 7631280*z2*z5 + 16158645*z7)/322560, 
 H[0, 0, -1, 1, -1, -1, 0, 1] -> (-69120*ln2*s6 + 69120*s7a - 45120*s7b + 
    13440*li5half*z2 - 13440*li4half*ln2*z2 - 672*ln2^5*z2 + 
    19600*ln2^3*z2^2 + 984*ln2*z2^3 + 73920*li4half*z3 + 3080*ln2^4*z3 - 
    18480*ln2^2*z2*z3 + 21540*z2^2*z3 + 86400*ln2*z3^2 + 110670*ln2^2*z5 + 
    165405*z2*z5 - 384225*z7)/13440, H[0, 0, -1, 1, -1, -1, -1, 1] -> 
  (1290240*li7half - 645120*li6half*ln2 - 322560*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 6016*ln2^7 - 1428480*ln2*s6 + 138240*s7a + 
    1347840*s7b + 967680*li5half*z2 - 43008*ln2^5*z2 + 227136*ln2^3*z2^2 + 
    1185696*ln2*z2^3 + 846720*li4half*z3 + 35280*ln2^4*z3 - 
    211680*ln2^2*z2*z3 - 696960*z2^2*z3 + 21600*ln2*z3^2 - 1874880*ln2^2*z5 - 
    4070160*z2*z5 + 4448475*z7)/322560, H[0, 0, -1, 0, 1, 1, 1, 1] -> 
  (-3840*ln2*s6 + 3840*s7a + 3840*s7b + 672*ln2*z2^3 + 6720*li4half*z3 + 
    280*ln2^4*z3 - 1680*ln2^2*z2*z3 - 1776*z2^2*z3 + 4800*ln2*z3^2 - 
    6360*z2*z5 + 9345*z7)/3840, H[0, 0, -1, 0, 1, 1, 0, 1] -> 
  (-3*(428*z2^2*z3 - 1375*z7))/640, H[0, 0, -1, 0, 1, 1, -1, 1] -> 
  (1920*ln2*s6 - 69120*s7a + 24960*s7b - 53760*li5half*z2 + 448*ln2^5*z2 - 
    4480*ln2^3*z2^2 - 22176*ln2*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 + 
    55440*ln2^2*z2*z3 - 4572*z2^2*z3 - 20040*ln2*z3^2 - 91140*ln2^2*z5 - 
    33000*z2*z5 + 132855*z7)/26880, H[0, 0, -1, 0, 1, 0, 1, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b - 2688*ln2*z2^3 - 26880*li4half*z3 - 
    1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 24480*z2^2*z3 - 19200*ln2*z3^2 + 
    36720*z2*z5 - 112455*z7)/3840, H[0, 0, -1, 0, 1, 0, 0, 1] -> 
  (3*(48*z2^2*z3 - 121*z7))/128, H[0, 0, -1, 0, 1, 0, -1, 1] -> 
  (-23040*ln2*s6 + 23040*s7a + 23040*s7b + 4032*ln2*z2^3 - 1080*z2^2*z3 - 
    6480*ln2*z3^2 - 77480*z2*z5 + 142615*z7)/8960, 
 H[0, 0, -1, 0, 1, -1, 1, 1] -> (-15360*ln2*s6 + 15360*s7a + 28800*s7b - 
    215040*li5half*z2 - 161280*li4half*ln2*z2 - 4928*ln2^5*z2 + 
    22400*ln2^3*z2^2 - 2880*ln2*z2^3 + 67200*li4half*z3 + 2800*ln2^4*z3 - 
    107520*ln2^2*z2*z3 - 552*z2^2*z3 + 19200*ln2*z3^2 + 52080*ln2^2*z5 + 
    127920*z2*z5 + 58035*z7)/26880, H[0, 0, -1, 0, 1, -1, 0, 1] -> 
  (11520*ln2*s6 - 11520*s7a - 11520*s7b - 2376*ln2*z2^3 - 20160*li4half*z3 - 
    840*ln2^4*z3 + 5040*ln2^2*z2*z3 + 8982*z2^2*z3 - 14400*ln2*z3^2 + 
    39265*z2*z5 - 72900*z7)/2240, H[0, 0, -1, 0, 1, -1, -1, 1] -> 
  (15360*ln2*s6 + 31680*s7a - 48960*s7b - 26880*li5half*z2 + 224*ln2^5*z2 - 
    2240*ln2^3*z2^2 - 29952*ln2*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 + 
    36120*ln2^2*z2*z3 + 38016*z2^2*z3 - 10380*ln2*z3^2 + 45570*ln2^2*z5 + 
    173535*z2*z5 - 243255*z7)/13440, H[0, 0, -1, 0, 0, 1, 1, 1] -> 
  (-480*ln2*s6 + 480*s7a + 480*s7b + 84*ln2*z2^3 + 840*li4half*z3 + 
    35*ln2^4*z3 - 210*ln2^2*z2*z3 - 684*z2^2*z3 + 600*ln2*z3^2 - 2655*z2*z5 + 
    5805*z7)/240, H[0, 0, -1, 0, 0, 1, 0, 1] -> (3*(21*z2^2*z3 - 80*z7))/80, 
 H[0, 0, -1, 0, 0, 1, -1, 1] -> (3840*ln2*s6 + 23040*s7a - 30720*s7b - 
    10896*ln2*z2^3 + 8832*z2^2*z3 + 18720*ln2*z3^2 + 52080*ln2^2*z5 + 
    91150*z2*z5 - 143125*z7)/4480, H[0, 0, -1, 0, 0, 0, 1, 1] -> 
  (192*z2^2*z3 + 6000*z2*z5 - 10705*z7)/640, H[0, 0, -1, 0, 0, 0, 0, 1] -> 
  (945*z7)/64, H[0, 0, -1, 0, 0, 0, -1, 1] -> 
  (21*z2^2*z3 + 65*z2*z5 - 170*z7)/80, H[0, 0, -1, 0, 0, -1, 1, 1] -> 
  (5760*ln2*s6 - 5760*s7a + 7680*s7b + 4104*ln2*z2^3 - 2208*z2^2*z3 - 
    7200*ln2*z3^2 - 26040*ln2^2*z5 - 13530*z2*z5 + 20285*z7)/2240, 
 H[0, 0, -1, 0, 0, -1, 0, 1] -> (-3*(168*z2^2*z3 + 1240*z2*z5 - 2545*z7))/
   640, H[0, 0, -1, 0, 0, -1, -1, 1] -> 
  (-5440*ln2*s6 - 8000*s7a + 5440*s7b + 952*ln2*z2^3 - 1564*z2^2*z3 - 
    1530*ln2*z3^2 - 21440*z2*z5 + 30505*z7)/2240, 
 H[0, 0, -1, 0, -1, 1, 1, 1] -> (-39840*ln2*s6 + 39840*s7a + 29760*s7b + 
    26880*li5half*z2 - 224*ln2^5*z2 + 2240*ln2^3*z2^2 + 13824*ln2*z2^3 + 
    63840*li4half*z3 + 2660*ln2^4*z3 - 22260*ln2^2*z2*z3 - 46860*z2^2*z3 + 
    49800*ln2*z3^2 + 9765*ln2^2*z5 - 141285*z2*z5 + 284505*z7)/6720, 
 H[0, 0, -1, 0, -1, 1, 0, 1] -> (7680*ln2*s6 - 7680*s7a - 7680*s7b - 
    912*ln2*z2^3 - 13440*li4half*z3 - 560*ln2^4*z3 + 3360*ln2^2*z2*z3 + 
    13212*z2^2*z3 - 9600*ln2*z3^2 + 22560*z2*z5 - 67857*z7)/2688, 
 H[0, 0, -1, 0, -1, 1, -1, 1] -> (51840*ln2*s6 + 15360*s7a - 38400*s7b + 
    107520*li5half*z2 + 161280*li4half*ln2*z2 + 5824*ln2^5*z2 - 
    31360*ln2^3*z2^2 - 14640*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 
    57120*ln2^2*z2*z3 + 29688*z2^2*z3 - 44220*ln2*z3^2 + 52080*ln2^2*z5 + 
    19140*z2*z5 - 240585*z7)/26880, H[0, 0, -1, 0, -1, 0, 1, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b - 2688*ln2*z2^3 - 26880*li4half*z3 - 
    1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 21528*z2^2*z3 - 19200*ln2*z3^2 + 
    72120*z2*z5 - 162825*z7)/3840, H[0, 0, -1, 0, -1, 0, 0, 1] -> 
  (-3*(364*z2^2*z3 - 1255*z7))/320, H[0, 0, -1, 0, -1, 0, -1, 1] -> 
  (2560*ln2*s6 - 2560*s7a - 2560*s7b - 448*ln2*z2^3 + 456*z2^2*z3 + 
    720*ln2*z3^2 + 6876*z2*z5 - 13981*z7)/1792, 
 H[0, 0, -1, 0, -1, -1, 1, 1] -> (76800*ln2*s6 - 76800*s7a - 23040*s7b + 
    107520*li5half*z2 - 896*ln2^5*z2 + 8960*ln2^3*z2^2 + 46656*ln2*z2^3 - 
    100800*li4half*z3 - 4200*ln2^4*z3 + 76848*z2^2*z3 - 96000*ln2*z3^2 - 
    143220*ln2^2*z5 + 126480*z2*z5 - 573255*z7)/26880, 
 H[0, 0, -1, 0, -1, -1, 0, 1] -> (-958*z2^2*z3 - 1085*z2*z5 + 4920*z7)/320, 
 H[0, 0, -1, 0, -1, -1, -1, 1] -> (-1280*ln2*s6 - 7680*s7a + 1280*s7b + 
    224*ln2*z2^3 - 448*z2^2*z3 - 360*ln2*z3^2 - 11080*z2*z5 + 12165*z7)/2560, 
 H[0, 0, -1, -1, 1, 1, 1, 1] -> (645120*li7half - 128*ln2^7 + 40320*ln2*s6 - 
    40320*s7a - 403200*li5half*z2 + 6048*ln2^5*z2 - 18144*ln2^3*z2^2 - 
    31680*ln2*z2^3 - 100800*li4half*z3 - 10080*ln2^4*z3 + 60480*ln2^2*z2*z3 + 
    41328*z2^2*z3 - 50400*ln2*z3^2 - 39060*ln2^2*z5 + 308700*z2*z5 - 
    518805*z7)/80640, H[0, 0, -1, -1, 1, 1, 0, 1] -> 
  (-24960*ln2*s6 + 24960*s7a - 1920*s7b + 5040*ln2^3*z2^2 + 3216*ln2*z2^3 + 
    36960*li4half*z3 + 1540*ln2^4*z3 - 12180*ln2^2*z2*z3 - 15996*z2^2*z3 + 
    32670*ln2*z3^2 + 26040*ln2^2*z5 + 6480*z2*z5 + 11685*z7)/6720, 
 H[0, 0, -1, -1, 1, 1, -1, 1] -> (-1505280*li7half - 215040*li6half*ln2 - 
    53760*ln2*s6 - 376320*s7a + 672000*s7b - 215040*li5half*z2 - 
    322560*li4half*ln2*z2 - 13440*ln2^5*z2 + 35392*ln2^3*z2^2 + 
    17952*ln2*z2^3 + 215040*li4half*z3 + 16800*ln2^4*z3 - 
    110880*ln2^2*z2*z3 - 289968*z2^2*z3 - 256200*ln2*z3^2 - 
    1015560*ln2^2*z5 - 1774080*z2*z5 + 4762695*z7)/107520, 
 H[0, 0, -1, -1, 1, 0, 1, 1] -> (3840*ln2*s6 - 3840*s7a - 138240*s7b + 
    215040*li5half*z2 - 1792*ln2^5*z2 + 17920*ln2^3*z2^2 + 25920*ln2*z2^3 - 
    134400*li4half*z3 - 5600*ln2^4*z3 + 10080*ln2^2*z2*z3 + 132648*z2^2*z3 - 
    16560*ln2*z3^2 + 130200*ln2^2*z5 + 258240*z2*z5 - 975915*z7)/26880, 
 H[0, 0, -1, -1, 1, 0, 0, 1] -> (1440*ln2*s6 - 1440*s7a + 1920*s7b - 
    108*ln2*z2^3 - 840*li4half*z3 - 35*ln2^4*z3 + 210*ln2^2*z2*z3 - 
    811*z2^2*z3 - 2535*ln2*z3^2 - 3255*ln2^2*z5 - 5745*z2*z5 + 12850*z7)/560, 
 H[0, 0, -1, -1, 1, 0, -1, 1] -> (320*ln2*s6 + 17600*s7a - 13760*s7b - 
    8672*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 3080*ln2^2*z2*z3 + 
    12538*z2^2*z3 + 1070*ln2*z3^2 + 30380*ln2^2*z5 + 34155*z2*z5 - 47525*z7)/
   4480, H[0, 0, -1, -1, 1, -1, 1, 1] -> 
  (-645120*li7half - 161280*li5half*ln2^2 + 1472*ln2^7 + 230400*ln2*s6 - 
    230400*s7a - 552960*s7b - 241920*li4half*ln2*z2 - 26208*ln2^5*z2 + 
    57120*ln2^3*z2^2 - 92448*ln2*z2^3 - 221760*li4half*z3 + 2520*ln2^4*z3 + 
    15120*ln2^2*z2*z3 + 509256*z2^2*z3 - 217440*ln2*z3^2 + 507780*ln2^2*z5 + 
    2069100*z2*z5 - 4125105*z7)/161280, H[0, 0, -1, -1, 1, -1, 0, 1] -> 
  (42240*ln2*s6 - 42240*s7a + 45120*s7b - 13440*li5half*z2 + 112*ln2^5*z2 - 
    16240*ln2^3*z2^2 + 2880*ln2*z2^3 - 50400*li4half*z3 - 2100*ln2^4*z3 + 
    18480*ln2^2*z2*z3 - 29898*z2^2*z3 - 76320*ln2*z3^2 - 84630*ln2^2*z5 - 
    118995*z2*z5 + 331725*z7)/13440, H[0, 0, -1, -1, 1, -1, -1, 1] -> 
  (-1935360*li7half - 645120*li6half*ln2 + 322560*li5half*ln2^2 - 
    3200*ln2^7 + 564480*ln2*s6 + 161280*s7a - 80640*s7b - 645120*li5half*z2 + 
    37632*ln2^5*z2 - 98112*ln2^3*z2^2 - 689760*ln2*z2^3 - 
    1411200*li4half*z3 - 82320*ln2^4*z3 + 463680*ln2^2*z2*z3 + 
    589680*z2^2*z3 - 829080*ln2*z3^2 - 156240*ln2^2*z5 + 171360*z2*z5 + 
    2849175*z7)/322560, H[0, 0, -1, -1, 0, 1, 1, 1] -> 
  (-1920*ln2*s6 + 1920*s7a + 1920*s7b + 336*ln2*z2^3 + 3840*li4half*z3 + 
    160*ln2^4*z3 - 960*ln2^2*z2*z3 - 2856*z2^2*z3 + 2820*ln2*z3^2 - 
    6840*z2*z5 + 16605*z7)/1920, H[0, 0, -1, -1, 0, 1, 0, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b - 2688*ln2*z2^3 - 15360*li4half*z3 - 
    640*ln2^4*z3 + 3840*ln2^2*z2*z3 + 14784*z2^2*z3 - 9120*ln2*z3^2 + 
    45120*z2*z5 - 110115*z7)/3840, H[0, 0, -1, -1, 0, 1, -1, 1] -> 
  (74880*ln2*s6 - 48000*s7a - 101760*s7b + 80640*li4half*ln2*z2 + 
    3360*ln2^5*z2 - 20160*ln2^3*z2^2 - 35856*ln2*z2^3 + 26880*li4half*z3 + 
    1120*ln2^4*z3 + 63840*ln2^2*z2*z3 + 25476*z2^2*z3 + 3420*ln2*z3^2 + 
    52080*ln2^2*z5 + 311730*z2*z5 - 628305*z7)/26880, 
 H[0, 0, -1, -1, 0, 0, 1, 1] -> (-7680*ln2*s6 + 7680*s7a + 7680*s7b + 
    1344*ln2*z2^3 + 10560*li4half*z3 + 440*ln2^4*z3 - 2640*ln2^2*z2*z3 - 
    8520*z2^2*z3 + 7080*ln2*z3^2 - 22560*z2*z5 + 55005*z7)/1920, 
 H[0, 0, -1, -1, 0, 0, 0, 1] -> (56*z2^2*z3 - 251*z7)/128, 
 H[0, 0, -1, -1, 0, 0, -1, 1] -> (-640*ln2*s6 + 640*s7a + 640*s7b + 
    112*ln2*z2^3 + 960*li4half*z3 + 40*ln2^4*z3 - 240*ln2^2*z2*z3 - 
    684*z2^2*z3 + 660*ln2*z3^2 - 1260*z2*z5 + 3355*z7)/640, 
 H[0, 0, -1, -1, 0, -1, 1, 1] -> (-71040*ln2*s6 + 71040*s7a + 84480*s7b - 
    40320*li4half*ln2*z2 - 1680*ln2^5*z2 + 10080*ln2^3*z2^2 + 
    23808*ln2*z2^3 + 73920*li4half*z3 + 3080*ln2^4*z3 - 53760*ln2^2*z2*z3 - 
    78216*z2^2*z3 + 65280*ln2*z3^2 - 26040*ln2^2*z5 - 272730*z2*z5 + 
    637185*z7)/13440, H[0, 0, -1, -1, 0, -1, 0, 1] -> 
  (5120*ln2*s6 - 5120*s7a - 5120*s7b - 896*ln2*z2^3 - 3840*li4half*z3 - 
    160*ln2^4*z3 + 960*ln2^2*z2*z3 + 7224*z2^2*z3 - 1920*ln2*z3^2 + 
    13800*z2*z5 - 43625*z7)/1280, H[0, 0, -1, -1, 0, -1, -1, 1] -> 
  (23040*ln2*s6 - 49920*s7a - 23040*s7b - 4032*ln2*z2^3 + 6720*li4half*z3 + 
    280*ln2^4*z3 - 1680*ln2^2*z2*z3 + 576*z2^2*z3 + 12360*ln2*z3^2 + 
    127320*z2*z5 - 259095*z7)/26880, H[0, 0, -1, -1, -1, 1, 1, 1] -> 
  (967680*li7half + 26880*li4half*ln2^3 + 928*ln2^7 - 362880*ln2*s6 + 
    362880*s7a - 80640*li5half*z2 - 80640*li4half*ln2*z2 - 5376*ln2^5*z2 + 
    40320*ln2^3*z2^2 + 121824*ln2*z2^3 + 302400*li4half*z3 + 18480*ln2^4*z3 - 
    136080*ln2^2*z2*z3 - 197064*z2^2*z3 + 435960*ln2*z3^2 + 351540*ln2^2*z5 - 
    64260*z2*z5 - 116235*z7)/80640, H[0, 0, -1, -1, -1, 1, 0, 1] -> 
  (78720*ln2*s6 - 78720*s7a - 119040*s7b + 26880*li4half*ln2*z2 + 
    1120*ln2^5*z2 + 3360*ln2^3*z2^2 - 19008*ln2*z2^3 - 47040*li4half*z3 - 
    1960*ln2^4*z3 + 23520*ln2^2*z2*z3 + 102264*z2^2*z3 - 21960*ln2*z3^2 + 
    39060*ln2^2*z5 + 350940*z2*z5 - 880875*z7)/26880, 
 H[0, 0, -1, -1, -1, 1, -1, 1] -> (-967680*li7half + 322560*li6half*ln2 - 
    53760*li4half*ln2^3 - 1600*ln2^7 + 673920*ln2*s6 - 472320*s7a - 
    149760*s7b + 161280*li5half*z2 + 403200*li4half*ln2*z2 + 18144*ln2^5*z2 - 
    131040*ln2^3*z2^2 - 186336*ln2*z2^3 + 241920*li4half*z3 - 1680*ln2^4*z3 + 
    181440*ln2^2*z2*z3 - 12384*z2^2*z3 - 242640*ln2*z3^2 - 312480*ln2^2*z5 + 
    432360*z2*z5 - 674595*z7)/161280, H[0, 0, -1, -1, -1, 0, 1, 1] -> 
  (3840*ln2*s6 - 3840*s7a - 3840*s7b + 7680*li5half*z2 + 
    7680*li4half*ln2*z2 + 256*ln2^5*z2 - 1280*ln2^3*z2^2 - 672*ln2*z2^3 - 
    11520*li4half*z3 - 480*ln2^4*z3 + 6240*ln2^2*z2*z3 + 7488*z2^2*z3 - 
    9000*ln2*z3^2 + 14400*z2*z5 - 48255*z7)/3840, 
 H[0, 0, -1, -1, -1, 0, 0, 1] -> (-1280*ln2*s6 + 1280*s7a + 1280*s7b + 
    224*ln2*z2^3 + 960*li4half*z3 + 40*ln2^4*z3 - 240*ln2^2*z2*z3 - 
    2072*z2^2*z3 + 480*ln2*z3^2 - 3760*z2*z5 + 12305*z7)/640, 
 H[0, 0, -1, -1, -1, 0, -1, 1] -> (-72960*ln2*s6 + 72960*s7a + 72960*s7b + 
    53760*li5half*z2 + 53760*li4half*ln2*z2 + 1792*ln2^5*z2 - 
    8960*ln2^3*z2^2 + 12768*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 
    30240*ln2^2*z2*z3 - 10560*z2^2*z3 - 44040*ln2*z3^2 - 322680*z2*z5 + 
    548535*z7)/53760, H[0, 0, -1, -1, -1, -1, 1, 1] -> 
  (215040*li7half - 26880*li5half*ln2^2 - 8960*li4half*ln2^3 - 192*ln2^7 - 
    67200*ln2*s6 + 67200*s7a + 53760*li5half*z2 + 448*ln2^5*z2 + 
    8736*ln2^3*z2^2 + 45216*ln2*z2^3 - 13440*li4half*z3 - 2520*ln2^4*z3 - 
    16800*ln2^2*z2*z3 - 1848*z2^2*z3 + 42840*ln2*z3^2 + 52080*ln2^2*z5 - 
    11760*z2*z5 - 198345*z7)/26880, H[0, 0, -1, -1, -1, -1, 0, 1] -> 
  (960*ln2*s6 - 960*s7a - 960*s7b - 960*li5half*z2 - 960*li4half*ln2*z2 - 
    32*ln2^5*z2 + 160*ln2^3*z2^2 - 168*ln2*z2^3 + 240*li4half*z3 + 
    10*ln2^4*z3 - 480*ln2^2*z2*z3 + 264*z2^2*z3 + 480*ln2*z3^2 + 2355*z2*z5 - 
    3855*z7)/960, H[0, 0, -1, -1, -1, -1, -1, 1] -> 
  (161280*li7half + 161280*li6half*ln2 + 80640*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 640*ln2^7 - 40320*s7a - 2688*ln2^5*z2 + 
    5880*ln2^4*z3 - 2016*z2^2*z3 - 41580*z2*z5 - 122535*z7)/80640, 
 H[0, -1, 1, 1, 1, 1, 1, 1] -> (80640*li7half - 16*ln2^7 + 13440*ln2*s6 - 
    13440*s7a - 26880*li5half*z2 + 224*ln2^5*z2 - 1568*ln2^3*z2^2 - 
    6144*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    672*z2^2*z3 - 16800*ln2*z3^2 - 13020*ln2^2*z5 - 420*z2*z5 + 12915*z7)/
   26880, H[0, -1, 1, 1, 1, 1, 0, 1] -> 
  (-645120*li7half + 128*ln2^7 - 5760*ln2*s6 + 5760*s7a - 115200*s7b - 
    80640*li5half*z2 - 2016*ln2^5*z2 - 2016*ln2^3*z2^2 - 13248*ln2*z2^3 + 
    322560*li4half*z3 + 13440*ln2^4*z3 + 40320*ln2^2*z2*z3 + 75456*z2^2*z3 + 
    7200*ln2*z3^2 + 117180*ln2^2*z5 + 422820*z2*z5 - 711045*z7)/161280, 
 H[0, -1, 1, 1, 1, 1, -1, 1] -> (107520*li7half + 107520*li6half*ln2 + 
    128*ln2^7 + 26880*ln2*s6 - 26880*s7a - 134400*s7b - 1792*ln2^5*z2 - 
    1792*ln2^3*z2^2 + 19488*ln2*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 + 
    16800*ln2^2*z2*z3 + 124992*z2^2*z3 - 74760*ln2*z3^2 + 104160*ln2^2*z5 + 
    398160*z2*z5 - 1081815*z7)/107520, H[0, -1, 1, 1, 1, 0, 1, 1] -> 
  (-122880*ln2*s6 + 122880*s7a + 149760*s7b + 752640*li5half*z2 + 
    161280*li4half*ln2*z2 + 448*ln2^5*z2 + 15680*ln2^3*z2^2 + 
    110688*ln2*z2^3 - 174720*li4half*z3 - 7280*ln2^4*z3 - 
    117600*ln2^2*z2*z3 - 129408*z2^2*z3 + 153600*ln2*z3^2 - 26040*ln2^2*z5 - 
    655800*z2*z5 + 584505*z7)/107520, H[0, -1, 1, 1, 1, 0, 0, 1] -> 
  (4800*ln2*s6 - 4800*s7a + 28800*s7b - 13440*li5half*z2 + 112*ln2^5*z2 - 
    6160*ln2^3*z2^2 - 4896*ln2*z2^3 + 20160*li4half*z3 + 840*ln2^4*z3 + 
    5040*ln2^2*z2*z3 - 38016*z2^2*z3 - 6000*ln2*z3^2 - 32550*ln2^2*z5 - 
    78720*z2*z5 + 255855*z7)/13440, H[0, -1, 1, 1, 1, 0, -1, 1] -> 
  (-1720320*li7half - 430080*li6half*ln2 - 256*ln2^7 + 222720*ln2*s6 - 
    155520*s7a + 207360*s7b + 26880*li5half*z2 - 80640*li4half*ln2*z2 - 
    1792*ln2^5*z2 - 8064*ln2^3*z2^2 - 159456*ln2*z2^3 + 87360*li4half*z3 + 
    3640*ln2^4*z3 - 117600*ln2^2*z2*z3 - 141096*z2^2*z3 - 75540*ln2*z3^2 - 
    351540*ln2^2*z5 - 643140*z2*z5 + 2864415*z7)/53760, 
 H[0, -1, 1, 1, 1, -1, 1, 1] -> (-1290240*li7half + 53760*li5half*ln2^2 - 
    192*ln2^7 - 76800*ln2*s6 + 76800*s7a + 318720*s7b - 53760*li5half*z2 - 
    322560*li4half*ln2*z2 - 5824*ln2^5*z2 + 47936*ln2^3*z2^2 - 
    63264*ln2*z2^3 + 349440*li4half*z3 + 14560*ln2^4*z3 - 87360*ln2^2*z2*z3 - 
    307344*z2^2*z3 + 96000*ln2*z3^2 - 494760*ln2^2*z5 - 559080*z2*z5 + 
    2763555*z7)/107520, H[0, -1, 1, 1, 1, -1, 0, 1] -> 
  (1290240*li7half - 256*ln2^7 + 92160*ln2*s6 - 92160*s7a + 149760*s7b + 
    403200*li5half*z2 + 725760*li4half*ln2*z2 + 32256*ln2^5*z2 - 
    116928*ln2^3*z2^2 + 84960*ln2*z2^3 - 302400*li4half*z3 - 12600*ln2^4*z3 + 
    272160*ln2^2*z2*z3 - 40032*z2^2*z3 - 115200*ln2*z3^2 - 234360*ln2^2*z5 - 
    1231200*z2*z5 + 504495*z7)/161280, H[0, -1, 1, 1, 1, -1, -1, 1] -> 
  (-322560*li7half - 483840*li6half*ln2 - 80640*li5half*ln2^2 + 64*ln2^7 + 
    97920*ln2*s6 - 17280*s7a - 218880*s7b + 241920*li5half*z2 - 
    10080*ln2^5*z2 + 15456*ln2^3*z2^2 - 33696*ln2*z2^3 - 20160*li4half*z3 - 
    840*ln2^4*z3 - 327600*ln2^2*z2*z3 + 7992*z2^2*z3 + 345060*ln2*z3^2 + 
    585900*ln2^2*z5 + 180540*z2*z5 - 262125*z7)/161280, 
 H[0, -1, 1, 1, 0, 1, 1, 1] -> (-21120*ln2*s6 + 21120*s7a + 2304*s7b - 
    26880*li5half*z2 - 24192*li4half*ln2*z2 - 784*ln2^5*z2 + 
    3808*ln2^3*z2^2 + 1920*ln2*z2^3 + 47712*li4half*z3 + 1988*ln2^4*z3 - 
    11424*ln2^2*z2*z3 - 18168*z2^2*z3 + 26400*ln2*z3^2 + 18228*ln2^2*z5 + 
    11880*z2*z5 + 43413*z7)/5376, H[0, -1, 1, 1, 0, 1, 0, 1] -> 
  (276480*ln2*s6 - 276480*s7a - 276480*s7b + 107520*li5half*z2 - 
    896*ln2^5*z2 + 8960*ln2^3*z2^2 - 17376*ln2*z2^3 - 672000*li4half*z3 - 
    28000*ln2^4*z3 + 87360*ln2^2*z2*z3 + 451272*z2^2*z3 - 345600*ln2*z3^2 + 
    781500*z2*z5 - 2309565*z7)/53760, H[0, -1, 1, 1, 0, 1, -1, 1] -> 
  (10321920*li7half + 2580480*li6half*ln2 + 1536*ln2^7 - 1190400*ln2*s6 + 
    2023680*s7a - 2653440*s7b + 215040*li5half*z2 + 483840*li4half*ln2*z2 + 
    7616*ln2^5*z2 + 99904*ln2^3*z2^2 + 490080*ln2*z2^3 - 255360*li4half*z3 - 
    10640*ln2^4*z3 + 406560*ln2^2*z2*z3 + 895584*z2^2*z3 + 1846680*ln2*z3^2 + 
    4530960*ln2^2*z5 + 8028000*z2*z5 - 23420265*z7)/107520, 
 H[0, -1, 1, 1, 0, 0, 1, 1] -> (82560*ln2*s6 - 82560*s7a + 51840*s7b - 
    26880*li5half*z2 + 80640*li4half*ln2*z2 + 3584*ln2^5*z2 - 
    22400*ln2^3*z2^2 - 1824*ln2*z2^3 - 6720*li4half*z3 - 280*ln2^4*z3 + 
    21840*ln2^2*z2*z3 + 3324*z2^2*z3 - 103200*ln2*z3^2 - 130200*ln2^2*z5 - 
    204570*z2*z5 + 299385*z7)/26880, H[0, -1, 1, 1, 0, 0, 0, 1] -> 
  (-33280*ln2*s6 + 33280*s7a - 2560*s7b + 6304*ln2*z2^3 + 26880*li4half*z3 + 
    1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 18696*z2^2*z3 + 41600*ln2*z3^2 + 
    34720*ln2^2*z5 + 4580*z2*z5 + 18975*z7)/8960, 
 H[0, -1, 1, 1, 0, 0, -1, 1] -> (-32640*ln2*s6 - 74880*s7a + 167040*s7b - 
    53760*li5half*z2 - 80640*li4half*ln2*z2 - 2912*ln2^5*z2 + 
    15680*ln2^3*z2^2 + 71136*ln2*z2^3 + 147840*li4half*z3 + 6160*ln2^4*z3 - 
    92400*ln2^2*z2*z3 - 107916*z2^2*z3 + 2580*ln2*z3^2 - 234360*ln2^2*z5 - 
    508950*z2*z5 + 958875*z7)/26880, H[0, -1, 1, 1, 0, -1, 1, 1] -> 
  (-645120*li7half + 53760*li5half*ln2^2 - 320*ln2^7 + 190080*ln2*s6 - 
    190080*s7a + 166080*s7b + 60480*li5half*z2 + 60480*li4half*ln2*z2 + 
    3808*ln2^5*z2 - 35448*ln2^3*z2^2 - 52632*ln2*z2^3 - 65520*li4half*z3 - 
    2730*ln2^4*z3 + 32760*ln2^2*z2*z3 - 10620*z2^2*z3 - 237600*ln2*z3^2 - 
    361305*ln2^2*z5 - 599475*z2*z5 + 1409340*z7)/13440, 
 H[0, -1, 1, 1, 0, -1, 0, 1] -> (-16640*ln2*s6 + 16640*s7a - 19200*s7b + 
    53760*li5half*z2 - 448*ln2^5*z2 + 4480*ln2^3*z2^2 + 11552*ln2*z2^3 - 
    13440*li4half*z3 - 560*ln2^4*z3 - 6720*ln2^2*z2*z3 + 9412*z2^2*z3 + 
    20800*ln2*z3^2 + 34720*ln2^2*z5 + 32250*z2*z5 - 145825*z7)/8960, 
 H[0, -1, 1, 1, 0, -1, -1, 1] -> (-1290240*li7half - 645120*li6half*ln2 - 
    107520*li5half*ln2^2 + 256*ln2^7 - 39360*ln2*s6 - 330240*s7a + 
    435840*s7b + 53760*li5half*z2 - 1344*ln2^5*z2 + 4480*ln2^3*z2^2 + 
    35424*ln2*z2^3 + 3360*li4half*z3 + 140*ln2^4*z3 + 1680*ln2^2*z2*z3 - 
    124632*z2^2*z3 - 274200*ln2*z3^2 - 709590*ln2^2*z5 - 1339080*z2*z5 + 
    3291555*z7)/26880, H[0, -1, 1, 1, -1, 1, 1, 1] -> 
  (2096640*li7half + 26880*li4half*ln2^3 + 704*ln2^7 + 218880*ln2*s6 - 
    218880*s7a - 138240*s7b + 645120*li4half*ln2*z2 + 10752*ln2^5*z2 - 
    54432*ln2^3*z2^2 + 115488*ln2*z2^3 - 645120*li4half*z3 - 26880*ln2^4*z3 + 
    161280*ln2^2*z2*z3 + 281664*z2^2*z3 - 273600*ln2*z3^2 - 78120*ln2^2*z5 + 
    123840*z2*z5 - 2501775*z7)/161280, H[0, -1, 1, 1, -1, 1, 0, 1] -> 
  (-1290240*li7half + 256*ln2^7 + 399360*ln2*s6 - 399360*s7a - 49920*s7b - 
    268800*li5half*z2 - 430080*li4half*ln2*z2 - 21056*ln2^5*z2 + 
    13888*ln2^3*z2^2 - 58656*ln2*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 - 
    63840*ln2^2*z2*z3 + 309360*z2^2*z3 - 499200*ln2*z3^2 - 338520*ln2^2*z5 + 
    550680*z2*z5 - 473295*z7)/107520, H[0, -1, 1, 1, -1, 1, -1, 1] -> 
  (-80640*li7half + 241920*li6half*ln2 - 13440*li4half*ln2^3 - 208*ln2^7 - 
    80640*ln2*s6 - 100800*s7a + 161280*s7b - 241920*li5half*z2 + 
    40320*li4half*ln2*z2 + 11760*ln2^5*z2 - 71568*ln2^3*z2^2 - 
    47664*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 337680*ln2^2*z2*z3 + 
    30744*z2^2*z3 - 362250*ln2*z3^2 - 253890*ln2^2*z5 - 13230*z2*z5 + 
    240345*z7)/80640, H[0, -1, 1, 1, -1, 0, 1, 1] -> 
  (-30720*ln2*s6 + 30720*s7a - 6240*s7b - 23520*li5half*z2 - 
    33600*li4half*ln2*z2 - 1204*ln2^5*z2 + 6440*ln2^3*z2^2 + 372*ln2*z2^3 + 
    39480*li4half*z3 + 1645*ln2^4*z3 - 13020*ln2^2*z2*z3 - 15426*z2^2*z3 + 
    38400*ln2*z3^2 + 35805*ln2^2*z5 + 42690*z2*z5 - 1950*z7)/6720, 
 H[0, -1, 1, 1, -1, 0, 0, 1] -> (-36480*ln2*s6 + 36480*s7a + 36480*s7b + 
    53760*li5half*z2 + 80640*li4half*ln2*z2 + 2912*ln2^5*z2 - 
    15680*ln2^3*z2^2 - 3312*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 + 
    11760*ln2^2*z2*z3 - 55260*z2^2*z3 + 45600*ln2*z3^2 - 186120*z2*z5 + 
    383625*z7)/26880, H[0, -1, 1, 1, -1, 0, -1, 1] -> 
  (-35520*ln2*s6 + 35520*s7a + 15360*s7b - 6720*li5half*z2 - 
    73920*li4half*ln2*z2 - 3024*ln2^5*z2 + 17920*ln2^3*z2^2 + 
    22320*ln2*z2^3 + 84000*li4half*z3 + 3500*ln2^4*z3 - 76440*ln2^2*z2*z3 - 
    50196*z2^2*z3 + 90705*ln2*z3^2 + 19530*ln2^2*z5 - 74625*z2*z5 + 
    215010*z7)/13440, H[0, -1, 1, 1, -1, -1, 1, 1] -> 
  (860160*li7half - 80640*li5half*ln2^2 - 8960*li4half*ln2^3 + 128*ln2^7 - 
    245760*ln2*s6 + 245760*s7a - 345600*s7b + 80640*li5half*z2 + 
    1120*ln2^5*z2 + 27104*ln2^3*z2^2 + 45408*ln2*z2^3 + 6720*li4half*z3 + 
    280*ln2^4*z3 + 8400*ln2^2*z2*z3 + 102720*z2^2*z3 + 307200*ln2*z3^2 + 
    729120*ln2^2*z5 + 881220*z2*z5 - 2385135*z7)/53760, 
 H[0, -1, 1, 1, -1, -1, 0, 1] -> (645120*li7half - 128*ln2^7 + 25920*ln2*s6 - 
    25920*s7a - 126720*s7b + 40320*li5half*z2 + 201600*li4half*ln2*z2 + 
    10752*ln2^5*z2 + 3696*ln2^3*z2^2 + 11232*ln2*z2^3 - 252000*li4half*z3 - 
    10500*ln2^4*z3 + 70560*ln2^2*z2*z3 + 123624*z2^2*z3 - 32400*ln2*z3^2 + 
    97650*ln2^2*z5 + 435240*z2*z5 - 1485765*z7)/80640, 
 H[0, -1, 1, 1, -1, -1, -1, 1] -> (-2903040*li7half - 161280*li6half*ln2 + 
    241920*li5half*ln2^2 + 26880*li4half*ln2^3 - 544*ln2^7 + 633600*ln2*s6 - 
    593280*s7a + 979200*s7b - 80640*li5half*z2 - 241920*li4half*ln2*z2 - 
    14784*ln2^5*z2 - 6048*ln2^3*z2^2 - 76608*ln2*z2^3 + 262080*li4half*z3 + 
    10920*ln2^4*z3 - 307440*ln2^2*z2*z3 - 435744*z2^2*z3 - 553860*ln2*z3^2 - 
    1992060*ln2^2*z5 - 2964600*z2*z5 + 7979715*z7)/161280, 
 H[0, -1, 1, 0, 1, 1, 1, 1] -> (280320*ln2*s6 - 280320*s7a - 280320*s7b + 
    645120*li5half*z2 + 483840*li4half*ln2*z2 + 14784*ln2^5*z2 - 
    67200*ln2^3*z2^2 + 32736*ln2*z2^3 - 416640*li4half*z3 - 17360*ln2^4*z3 + 
    245280*ln2^2*z2*z3 + 457920*z2^2*z3 - 350400*ln2*z3^2 + 472320*z2*z5 - 
    2928165*z7)/107520, H[0, -1, 1, 0, 1, 1, 0, 1] -> 
  (-103680*ln2*s6 + 103680*s7a + 103680*s7b - 11376*ln2*z2^3 + 
    67200*li4half*z3 + 2800*ln2^4*z3 - 16800*ln2^2*z2*z3 - 177144*z2^2*z3 + 
    129600*ln2*z3^2 - 341730*z2*z5 + 1090905*z7)/26880, 
 H[0, -1, 1, 0, 1, 1, -1, 1] -> (-5160960*li7half - 1290240*li6half*ln2 - 
    768*ln2^7 + 693120*ln2*s6 - 1176960*s7a + 1497600*s7b - 
    107520*li5half*z2 + 6272*ln2^5*z2 - 110432*ln2^3*z2^2 - 263328*ln2*z2^3 + 
    33600*li4half*z3 + 1400*ln2^4*z3 - 114240*ln2^2*z2*z3 - 503136*z2^2*z3 - 
    1042800*ln2*z3^2 - 2590980*ln2^2*z5 - 4526460*z2*z5 + 12579435*z7)/53760, 
 H[0, -1, 1, 0, 1, 0, 1, 1] -> (-99840*ln2*s6 + 99840*s7a + 99840*s7b - 
    645120*li5half*z2 - 322560*li4half*ln2*z2 - 8064*ln2^5*z2 + 
    26880*ln2^3*z2^2 - 61728*ln2*z2^3 + 349440*li4half*z3 + 14560*ln2^4*z3 - 
    87360*ln2^2*z2*z3 - 118416*z2^2*z3 + 124800*ln2*z3^2 + 82200*z2*z5 + 
    933255*z7)/53760, H[0, -1, 1, 0, 1, 0, 0, 1] -> 
  (2560*ln2*s6 - 2560*s7a - 2560*s7b - 880*ln2*z2^3 - 3840*li4half*z3 - 
    160*ln2^4*z3 + 960*ln2^2*z2*z3 + 5528*z2^2*z3 - 3200*ln2*z3^2 + 
    7930*z2*z5 - 25165*z7)/640, H[0, -1, 1, 0, 1, 0, -1, 1] -> 
  (-7680*ln2*s6 - 13824*s7a + 29184*s7b + 32256*li4half*ln2*z2 + 
    1344*ln2^5*z2 - 8064*ln2^3*z2^2 - 96*ln2*z2^3 - 34944*li4half*z3 - 
    1456*ln2^4*z3 + 36960*ln2^2*z2*z3 + 15012*z2^2*z3 - 56256*ln2*z3^2 - 
    41664*ln2^2*z5 - 78966*z2*z5 + 99441*z7)/5376, 
 H[0, -1, 1, 0, 1, -1, 1, 1] -> (10321920*li7half - 860160*li5half*ln2^2 + 
    5120*ln2^7 - 2941440*ln2*s6 + 2941440*s7a - 2891520*s7b - 
    430080*li5half*z2 - 645120*li4half*ln2*z2 - 51968*ln2^5*z2 + 
    531328*ln2^3*z2^2 + 737184*ln2*z2^3 + 698880*li4half*z3 + 
    29120*ln2^4*z3 - 598080*ln2^2*z2*z3 + 498672*z2^2*z3 + 3676800*ln2*z3^2 + 
    6718320*ln2^2*z5 + 8844960*z2*z5 - 22603005*z7)/107520, 
 H[0, -1, 1, 0, 1, -1, 0, 1] -> (122880*ln2*s6 - 122880*s7a - 15360*s7b - 
    215040*li5half*z2 - 80640*li4half*ln2*z2 - 1568*ln2^5*z2 + 
    2240*ln2^3*z2^2 - 34416*ln2*z2^3 - 73920*li4half*z3 - 3080*ln2^4*z3 + 
    18480*ln2^2*z2*z3 + 71742*z2^2*z3 - 153600*ln2*z3^2 - 104160*ln2^2*z5 + 
    281685*z2*z5 - 329775*z7)/13440, H[0, -1, 1, 0, 1, -1, -1, 1] -> 
  (322560*li6half*ln2 + 107520*li5half*ln2^2 - 448*ln2^7 + 193920*ln2*s6 + 
    960*s7a + 21120*s7b - 134400*li5half*z2 + 40320*li4half*ln2*z2 + 
    5040*ln2^5*z2 - 46648*ln2^3*z2^2 - 80904*ln2*z2^3 - 36960*li4half*z3 - 
    1540*ln2^4*z3 + 88620*ln2^2*z2*z3 + 24546*z2^2*z3 - 164490*ln2*z3^2 - 
    152985*ln2^2*z5 + 97980*z2*z5 + 19515*z7)/13440, 
 H[0, -1, 1, 0, 0, 1, 1, 1] -> (-4800*ln2*s6 + 4800*s7a + 4800*s7b + 
    40320*li5half*z2 - 336*ln2^5*z2 + 3360*ln2^3*z2^2 - 1320*ln2*z2^3 - 
    53760*li4half*z3 - 2240*ln2^4*z3 - 4200*ln2^2*z2*z3 + 7440*z2^2*z3 + 
    6000*ln2*z3^2 - 92535*z2*z5 + 134955*z7)/13440, 
 H[0, -1, 1, 0, 0, 1, 0, 1] -> (-38400*ln2*s6 + 38400*s7a + 38400*s7b + 
    68064*ln2*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 - 53760*ln2^2*z2*z3 - 
    120408*z2^2*z3 + 48000*ln2*z3^2 - 91380*z2*z5 + 218535*z7)/26880, 
 H[0, -1, 1, 0, 0, 1, -1, 1] -> (-41280*ln2*s6 + 48000*s7a - 46080*s7b - 
    40320*li4half*ln2*z2 - 1680*ln2^5*z2 + 10080*ln2^3*z2^2 - 6564*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 2019*z2^2*z3 + 
    67035*ln2*z3^2 + 91140*ln2^2*z5 + 138300*z2*z5 - 194055*z7)/6720, 
 H[0, -1, 1, 0, 0, 0, 1, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b - 
    12912*ln2*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 + 13440*ln2^2*z2*z3 + 
    32556*z2^2*z3 - 19200*ln2*z3^2 + 136680*z2*z5 - 264885*z7)/13440, 
 H[0, -1, 1, 0, 0, 0, 0, 1] -> 
  (-3*(480*ln2*z2^3 + 168*z2^2*z3 + 100*z2*z5 - 2335*z7))/640, 
 H[0, -1, 1, 0, 0, 0, -1, 1] -> (6400*ln2*s6 + 11520*s7a - 24320*s7b - 
    9424*ln2*z2^3 - 6720*li4half*z3 - 280*ln2^4*z3 + 1680*ln2^2*z2*z3 + 
    10576*z2^2*z3 + 10620*ln2*z3^2 + 34720*ln2^2*z5 + 73295*z2*z5 - 
    122820*z7)/2240, H[0, -1, 1, 0, 0, -1, 1, 1] -> 
  (270720*ln2*s6 - 270720*s7a + 186240*s7b + 161280*li4half*ln2*z2 + 
    6720*ln2^5*z2 - 40320*ln2^3*z2^2 + 39168*ln2*z2^3 - 174720*li4half*z3 - 
    7280*ln2^4*z3 + 43680*ln2^2*z2*z3 + 36000*z2^2*z3 - 338400*ln2*z3^2 - 
    572880*ln2^2*z5 - 450060*z2*z5 + 523455*z7)/26880, 
 H[0, -1, 1, 0, 0, -1, 0, 1] -> (-23040*ln2*s6 + 23040*s7a + 23040*s7b + 
    13824*ln2*z2^3 + 53760*li4half*z3 + 2240*ln2^4*z3 - 13440*ln2^2*z2*z3 - 
    49968*z2^2*z3 + 28800*ln2*z3^2 - 109540*z2*z5 + 266095*z7)/8960, 
 H[0, -1, 1, 0, 0, -1, -1, 1] -> (-19840*ln2*s6 + 10880*s7a - 16000*s7b - 
    26880*li4half*ln2*z2 - 1120*ln2^5*z2 + 6720*ln2^3*z2^2 - 2864*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 30240*ln2^2*z2*z3 - 10968*z2^2*z3 + 
    50280*ln2*z3^2 + 69440*ln2^2*z5 + 26140*z2*z5 - 22605*z7)/8960, 
 H[0, -1, 1, 0, -1, 1, 1, 1] -> (-5160960*li7half - 215040*li4half*ln2^3 - 
    7936*ln2^7 + 835200*ln2*s6 - 835200*s7a + 1140480*s7b + 
    1532160*li5half*z2 + 161280*li4half*ln2*z2 + 26208*ln2^5*z2 - 
    217056*ln2^3*z2^2 - 86400*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 - 
    10080*ln2^2*z2*z3 - 343008*z2^2*z3 - 1044000*ln2*z3^2 - 
    1913940*ln2^2*z5 - 5150700*z2*z5 + 10958985*z7)/161280, 
 H[0, -1, 1, 0, -1, 1, 0, 1] -> (-69120*ln2*s6 + 69120*s7a - 38400*s7b + 
    107520*li5half*z2 + 26880*li4half*ln2*z2 + 224*ln2^5*z2 + 
    2240*ln2^3*z2^2 + 9720*ln2*z2^3 - 6720*li4half*z3 - 280*ln2^4*z3 + 
    1680*ln2^2*z2*z3 - 12102*z2^2*z3 + 86400*ln2*z3^2 + 104160*ln2^2*z5 + 
    1290*z2*z5 - 83295*z7)/13440, H[0, -1, 1, 0, -1, 1, -1, 1] -> 
  (5160960*li7half + 967680*li6half*ln2 + 53760*li4half*ln2^3 + 2560*ln2^7 - 
    662400*ln2*s6 + 1186560*s7a - 1635840*s7b + 483840*li5half*z2 + 
    80640*li4half*ln2*z2 - 12768*ln2^5*z2 + 172368*ln2^3*z2^2 + 
    307728*ln2*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 - 138600*ln2^2*z2*z3 + 
    463500*z2^2*z3 + 1425555*ln2*z3^2 + 2734200*ln2^2*z5 + 4340340*z2*z5 - 
    12636810*z7)/40320, H[0, -1, 1, 0, -1, 0, 1, 1] -> 
  (-88320*ln2*s6 + 88320*s7a + 88320*s7b - 752640*li5half*z2 - 
    376320*li4half*ln2*z2 - 9408*ln2^5*z2 + 31360*ln2^3*z2^2 - 
    88464*ln2*z2^3 + 309120*li4half*z3 + 12880*ln2^4*z3 - 77280*ln2^2*z2*z3 - 
    142572*z2^2*z3 + 110400*ln2*z3^2 + 581400*z2*z5 + 388275*z7)/26880, 
 H[0, -1, 1, 0, -1, 0, 0, 1] -> (11520*ln2*s6 - 11520*s7a - 11520*s7b - 
    5904*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    15870*z2^2*z3 - 14400*ln2*z3^2 + 34575*z2*z5 - 72900*z7)/2240, 
 H[0, -1, 1, 0, -1, 0, -1, 1] -> (69120*ln2*s6 + 38400*s7a - 176640*s7b - 
    215040*li5half*z2 + 53760*li4half*ln2*z2 + 4032*ln2^5*z2 - 
    31360*ln2^3*z2^2 - 136560*ln2*z2^3 - 120960*li4half*z3 - 5040*ln2^4*z3 + 
    171360*ln2^2*z2*z3 + 126972*z2^2*z3 - 86400*ln2*z3^2 + 208320*ln2^2*z5 + 
    791040*z2*z5 - 1088715*z7)/26880, H[0, -1, 1, 0, -1, -1, 1, 1] -> 
  (-5160960*li7half + 645120*li5half*ln2^2 + 107520*li4half*ln2^3 + 
    128*ln2^7 + 1025280*ln2*s6 - 1025280*s7a + 1837440*s7b - 
    1169280*li5half*z2 - 725760*li4half*ln2*z2 - 15120*ln2^5*z2 - 
    68208*ln2^3*z2^2 - 351648*ln2*z2^3 + 705600*li4half*z3 + 29400*ln2^4*z3 - 
    176400*ln2^2*z2*z3 - 792864*z2^2*z3 - 1281600*ln2*z3^2 - 
    3691170*ln2^2*z5 - 4031640*z2*z5 + 13586535*z7)/80640, 
 H[0, -1, 1, 0, -1, -1, 0, 1] -> (12480*ln2*s6 - 12480*s7a - 12480*s7b + 
    53760*li5half*z2 + 26880*li4half*ln2*z2 + 672*ln2^5*z2 - 
    2240*ln2^3*z2^2 + 1500*ln2*z2^3 - 47040*li4half*z3 - 1960*ln2^4*z3 + 
    11760*ln2^2*z2*z3 + 20241*z2^2*z3 - 15600*ln2*z3^2 - 42615*z2*z5 - 
    29940*z7)/6720, H[0, -1, 1, 0, -1, -1, -1, 1] -> 
  (-5160960*li7half - 3870720*li6half*ln2 - 1290240*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 2560*ln2^7 - 996480*ln2*s6 - 696960*s7a + 
    794880*s7b + 241920*li4half*ln2*z2 + 15456*ln2^5*z2 - 60480*ln2^3*z2^2 - 
    262080*ln2*z2^3 - 201600*li4half*z3 - 8400*ln2^4*z3 + 
    262080*ln2^2*z2*z3 - 103536*z2^2*z3 - 421380*ln2*z3^2 + 390600*ln2^2*z5 - 
    2551680*z2*z5 + 8932635*z7)/161280, H[0, -1, 1, -1, 1, 1, 1, 1] -> 
  (-967680*li7half + 192*ln2^7 + 113280*ln2*s6 - 113280*s7a - 99840*s7b + 
    53760*li5half*z2 - 80640*li4half*ln2*z2 - 448*ln2^5*z2 - 
    6944*ln2^3*z2^2 - 99072*ln2*z2^3 + 87360*li4half*z3 - 2240*ln2^4*z3 + 
    94080*ln2^2*z2*z3 + 116064*z2^2*z3 - 141600*ln2*z3^2 - 13020*ln2^2*z5 + 
    381060*z2*z5 - 301995*z7)/53760, H[0, -1, 1, -1, 1, 1, 0, 1] -> 
  (1128960*li7half - 224*ln2^7 - 321120*ln2*s6 + 321120*s7a + 28800*s7b + 
    20160*li5half*z2 + 60480*li4half*ln2*z2 + 7056*ln2^5*z2 + 
    8568*ln2^3*z2^2 + 105984*ln2*z2^3 + 115920*li4half*z3 + 4830*ln2^4*z3 - 
    63000*ln2^2*z2*z3 - 239742*z2^2*z3 + 414630*ln2*z3^2 + 283185*ln2^2*z5 - 
    154215*z2*z5 + 12780*z7)/40320, H[0, -1, 1, -1, 1, 1, -1, 1] -> 
  (752640*li7half - 53760*li6half*ln2 - 224*ln2^7 + 21120*ln2*s6 + 
    180480*s7a - 249600*s7b + 161280*li5half*z2 - 3808*ln2^5*z2 + 
    44576*ln2^3*z2^2 + 66720*ln2*z2^3 + 5880*ln2^4*z3 - 257040*ln2^2*z2*z3 - 
    984*z2^2*z3 + 420480*ln2*z3^2 + 416640*ln2^2*z5 + 434160*z2*z5 - 
    1435965*z7)/53760, H[0, -1, 1, -1, 1, 0, 1, 1] -> 
  (579840*ln2*s6 - 579840*s7a + 495360*s7b + 107520*li5half*z2 + 
    645120*li4half*ln2*z2 + 25984*ln2^5*z2 - 125440*ln2^3*z2^2 + 
    7584*ln2*z2^3 - 698880*li4half*z3 - 29120*ln2^4*z3 + 73920*ln2^2*z2*z3 + 
    167376*z2^2*z3 - 795360*ln2*z3^2 - 1041600*ln2^2*z5 - 2054880*z2*z5 + 
    2778855*z7)/107520, H[0, -1, 1, -1, 1, 0, 0, 1] -> 
  (-7040*ln2*s6 + 7040*s7a - 15360*s7b + 3360*ln2^3*z2^2 - 2524*ln2*z2^3 + 
    2520*ln2^2*z2*z3 + 11689*z2^2*z3 + 4390*ln2*z3^2 + 21700*ln2^2*z5 + 
    47920*z2*z5 - 104305*z7)/2240, H[0, -1, 1, -1, 1, 0, -1, 1] -> 
  (1720320*li7half + 430080*li6half*ln2 + 256*ln2^7 - 203520*ln2*s6 + 
    311040*s7a - 360960*s7b + 33600*li5half*z2 + 80640*li4half*ln2*z2 + 
    1288*ln2^5*z2 + 13104*ln2^3*z2^2 + 99576*ln2*z2^3 - 87360*li4half*z3 - 
    3640*ln2^4*z3 + 78540*ln2^2*z2*z3 + 158460*z2^2*z3 + 222060*ln2*z3^2 + 
    651000*ln2^2*z5 + 1070715*z2*z5 - 3480360*z7)/13440, 
 H[0, -1, 1, -1, 1, -1, 1, 1] -> (161280*li7half + 80640*li5half*ln2^2 - 
    704*ln2^7 + 5760*ln2*s6 - 5760*s7a + 34560*s7b - 80640*li5half*z2 - 
    2688*ln2^5*z2 + 12096*ln2^3*z2^2 + 1728*ln2*z2^3 + 5880*ln2^4*z3 - 
    75600*ln2^2*z2*z3 - 14472*z2^2*z3 + 28080*ln2*z3^2 - 156960*z2*z5 + 
    261015*z7)/53760, H[0, -1, 1, -1, 1, -1, 0, 1] -> 
  (-1290240*li7half + 256*ln2^7 + 161280*ln2*s6 - 161280*s7a + 161280*s7b + 
    60480*li5half*z2 - 5880*ln2^5*z2 - 25872*ln2^3*z2^2 - 120600*ln2*z2^3 + 
    86940*ln2^2*z2*z3 - 3024*z2^2*z3 - 307440*ln2*z3^2 - 312480*ln2^2*z5 - 
    434385*z2*z5 + 1681470*z7)/40320, H[0, -1, 1, -1, 1, -1, -1, 1] -> 
  (1774080*li7half + 483840*li6half*ln2 - 241920*li5half*ln2^2 + 2336*ln2^7 - 
    489600*ln2*s6 + 368640*s7a - 115200*s7b + 241920*li5half*z2 + 
    725760*li4half*ln2*z2 + 35616*ln2^5*z2 - 170688*ln2^3*z2^2 + 
    69408*ln2*z2^3 - 786240*li4half*z3 - 50400*ln2^4*z3 + 
    1028160*ln2^2*z2*z3 + 527040*z2^2*z3 - 763920*ln2*z3^2 + 
    351540*ln2^2*z5 + 470700*z2*z5 - 3269475*z7)/161280, 
 H[0, -1, 1, -1, 0, 1, 1, 1] -> (53760*s7b - 26880*li5half*z2 + 
    224*ln2^5*z2 - 2240*ln2^3*z2^2 - 1344*ln2*z2^3 - 16560*ln2^2*z2*z3 - 
    32424*z2^2*z3 + 2520*ln2*z3^2 - 52080*ln2^2*z5 - 159360*z2*z5 + 
    386475*z7)/7680, H[0, -1, 1, -1, 0, 1, 0, 1] -> 
  (176640*ln2*s6 - 176640*s7a - 176640*s7b - 107520*li5half*z2 - 
    161280*li4half*ln2*z2 - 5824*ln2^5*z2 + 31360*ln2^3*z2^2 + 
    28080*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 63840*ln2^2*z2*z3 + 
    150156*z2^2*z3 - 114960*ln2*z3^2 + 657900*z2*z5 - 1467765*z7)/26880, 
 H[0, -1, 1, -1, 0, 1, -1, 1] -> (-2580480*li7half - 645120*li6half*ln2 - 
    384*ln2^7 + 207360*ln2*s6 - 556800*s7a + 706560*s7b - 161280*li5half*z2 - 
    80640*li4half*ln2*z2 + 672*ln2^5*z2 - 44016*ln2^3*z2^2 - 
    133056*ln2*z2^3 + 87360*li4half*z3 + 3640*ln2^4*z3 + 51240*ln2^2*z2*z3 - 
    227664*z2^2*z3 - 553935*ln2*z3^2 - 1223880*ln2^2*z5 - 1930620*z2*z5 + 
    5799240*z7)/13440, H[0, -1, 1, -1, 0, 0, 1, 1] -> 
  (-155520*ln2*s6 + 155520*s7a - 113280*s7b + 215040*li5half*z2 - 
    1792*ln2^5*z2 + 17920*ln2^3*z2^2 + 11328*ln2*z2^3 + 30240*ln2^2*z2*z3 + 
    27024*z2^2*z3 + 141480*ln2*z3^2 + 260400*ln2^2*z5 + 304620*z2*z5 - 
    760215*z7)/26880, H[0, -1, 1, -1, 0, 0, 0, 1] -> 
  (23040*ln2*s6 - 23040*s7a + 48640*s7b - 1056*ln2*z2^3 - 39520*z2^2*z3 - 
    28800*ln2*z3^2 - 69440*ln2^2*z5 - 154080*z2*z5 + 365445*z7)/8960, 
 H[0, -1, 1, -1, 0, 0, -1, 1] -> (23040*ln2*s6 + 111360*s7a - 184320*s7b + 
    53760*li5half*z2 - 448*ln2^5*z2 + 4480*ln2^3*z2^2 - 51096*ln2*z2^3 - 
    15120*ln2^2*z2*z3 + 43374*z2^2*z3 + 138780*ln2*z3^2 + 286440*ln2^2*z5 + 
    481170*z2*z5 - 833235*z7)/13440, H[0, -1, 1, -1, 0, -1, 1, 1] -> 
  (645120*li7half - 53760*li5half*ln2^2 + 320*ln2^7 - 124320*ln2*s6 + 
    124320*s7a - 147840*s7b + 53760*li5half*z2 + 40320*li4half*ln2*z2 - 
    560*ln2^5*z2 + 19768*ln2^3*z2^2 + 62064*ln2*z2^3 - 43680*li4half*z3 - 
    1820*ln2^4*z3 - 5460*ln2^2*z2*z3 + 56826*z2^2*z3 + 137760*ln2*z3^2 + 
    289695*ln2^2*z5 + 416535*z2*z5 - 1366260*z7)/6720, 
 H[0, -1, 1, -1, 0, -1, 0, 1] -> (176640*ln2*s6 - 176640*s7a + 38400*s7b - 
    322560*li5half*z2 - 161280*li4half*ln2*z2 - 4032*ln2^5*z2 + 
    13440*ln2^3*z2^2 - 27024*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 
    84000*ln2^2*z2*z3 - 18180*z2^2*z3 - 79680*ln2*z3^2 - 208320*ln2^2*z5 + 
    79980*z2*z5 + 282795*z7)/26880, H[0, -1, 1, -1, 0, -1, -1, 1] -> 
  (10321920*li7half + 5160960*li6half*ln2 + 860160*li5half*ln2^2 - 
    2048*ln2^7 + 456960*ln2*s6 + 2338560*s7a - 3306240*s7b - 
    430080*li5half*z2 - 483840*li4half*ln2*z2 - 9408*ln2^5*z2 + 
    85120*ln2^3*z2^2 - 33504*ln2*z2^3 + 564480*li4half*z3 + 23520*ln2^4*z3 - 
    584640*ln2^2*z2*z3 + 614208*z2^2*z3 + 2651040*ln2*z3^2 + 
    5051760*ln2^2*z5 + 10053960*z2*z5 - 25113375*z7)/107520, 
 H[0, -1, 1, -1, -1, 1, 1, 1] -> (-1935360*li7half - 53760*li4half*ln2^3 - 
    1856*ln2^7 + 311040*ln2*s6 - 311040*s7a + 1032960*s7b + 
    322560*li5half*z2 + 161280*li4half*ln2*z2 + 8064*ln2^5*z2 - 
    100800*ln2^3*z2^2 - 16992*ln2*z2^3 + 40320*li4half*z3 + 13440*ln2^4*z3 - 
    211680*ln2^2*z2*z3 - 463296*z2^2*z3 - 424080*ln2*z3^2 - 
    1302000*ln2^2*z5 - 3693720*z2*z5 + 8169555*z7)/107520, 
 H[0, -1, 1, -1, -1, 1, 0, 1] -> (-645120*li7half + 128*ln2^7 + 
    284160*ln2*s6 - 284160*s7a - 176640*s7b - 26880*li5half*z2 - 
    241920*li4half*ln2*z2 - 12544*ln2^5*z2 + 32704*ln2^3*z2^2 - 
    22560*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 99120*ln2^2*z2*z3 + 
    163344*z2^2*z3 - 125880*ln2*z3^2 - 104160*ln2^2*z5 + 529380*z2*z5 - 
    914205*z7)/53760, H[0, -1, 1, -1, -1, 1, -1, 1] -> 
  (322560*li7half - 161280*li6half*ln2 + 26880*li4half*ln2^3 + 832*ln2^7 - 
    138240*ln2*s6 - 23040*s7a - 157440*s7b - 80640*li4half*ln2*z2 - 
    5376*ln2^5*z2 + 55776*ln2^3*z2^2 + 67968*ln2*z2^3 + 141120*li4half*z3 - 
    35280*ln2^2*z2*z3 - 18240*z2^2*z3 + 225720*ln2*z3^2 + 130200*ln2^2*z5 + 
    466680*z2*z5 - 1158735*z7)/53760, H[0, -1, 1, -1, -1, 0, 1, 1] -> 
  (-73440*ln2*s6 + 73440*s7a - 37440*s7b - 127680*li5half*z2 - 
    100800*li4half*ln2*z2 - 3136*ln2^5*z2 + 12040*ln2^3*z2^2 - 
    22296*ln2*z2^3 + 90720*li4half*z3 + 3780*ln2^4*z3 + 7560*ln2^2*z2*z3 - 
    20316*z2^2*z3 + 69750*ln2*z3^2 + 107415*ln2^2*z5 + 317670*z2*z5 - 
    277665*z7)/13440, H[0, -1, 1, -1, -1, 0, 0, 1] -> 
  (42240*ln2*s6 - 42240*s7a + 45120*s7b + 13440*li5half*z2 + 
    40320*li4half*ln2*z2 + 1568*ln2^5*z2 - 24080*ln2^3*z2^2 - 5856*ln2*z2^3 - 
    94080*li4half*z3 - 3920*ln2^4*z3 + 43680*ln2^2*z2*z3 - 12006*z2^2*z3 - 
    88080*ln2*z3^2 - 84630*ln2^2*z5 - 151125*z2*z5 + 331725*z7)/13440, 
 H[0, -1, 1, -1, -1, 0, -1, 1] -> (-5160960*li7half - 1290240*li6half*ln2 - 
    768*ln2^7 + 610560*ln2*s6 - 892800*s7a + 948480*s7b - 188160*li5half*z2 + 
    161280*li4half*ln2*z2 + 13664*ln2^5*z2 - 147392*ln2^3*z2^2 - 
    488064*ln2*z2^3 - 221760*li4half*z3 - 9240*ln2^4*z3 + 
    322560*ln2^2*z2*z3 - 142488*z2^2*z3 - 1168920*ln2*z3^2 - 
    1783740*ln2^2*z5 - 2658060*z2*z5 + 9307185*z7)/53760, 
 H[0, -1, 1, -1, -1, -1, 1, 1] -> (524160*li7half - 20160*li5half*ln2^2 + 
    20160*li4half*ln2^3 + 904*ln2^7 - 203040*ln2*s6 + 203040*s7a - 
    28800*s7b - 100800*li5half*z2 - 120960*li4half*ln2*z2 - 5712*ln2^5*z2 + 
    46872*ln2^3*z2^2 + 85752*ln2*z2^3 + 115920*li4half*z3 + 420*ln2^4*z3 - 
    28980*ln2^2*z2*z3 - 41364*z2^2*z3 + 161190*ln2*z3^2 + 78120*ln2^2*z5 + 
    382590*z2*z5 - 805635*z7)/40320, H[0, -1, 1, -1, -1, -1, 0, 1] -> 
  (5160960*li7half - 1024*ln2^7 + 472320*ln2*s6 - 472320*s7a - 956160*s7b - 
    483840*li5half*z2 + 25536*ln2^5*z2 + 123648*ln2^3*z2^2 + 
    311904*ln2*z2^3 - 1532160*li4half*z3 - 63840*ln2^4*z3 - 
    312480*ln2^2*z2*z3 + 785952*z2^2*z3 + 256320*ln2*z3^2 + 468720*ln2^2*z5 + 
    1647000*z2*z5 - 7581915*z7)/322560, H[0, -1, 1, -1, -1, -1, -1, 1] -> 
  (-1182720*li7half + 107520*li6half*ln2 + 53760*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 2304*ln2^7 + 299520*ln2*s6 - 30720*s7a - 
    57600*s7b - 268800*li5half*z2 + 6272*ln2^5*z2 - 90048*ln2^3*z2^2 - 
    354144*ln2*z2^3 + 40320*li4half*z3 + 13440*ln2^4*z3 - 10080*ln2^2*z2*z3 - 
    3264*z2^2*z3 - 56880*ln2*z3^2 + 416640*ln2^2*z5 + 170040*z2*z5 + 
    1314135*z7)/107520, H[0, -1, 0, 1, 1, 1, 1, 1] -> 
  (-3840*ln2*s6 + 3840*s7a + 3840*s7b - 3840*li5half*z2 - 
    3840*li4half*ln2*z2 - 128*ln2^5*z2 + 640*ln2^3*z2^2 + 672*ln2*z2^3 + 
    6720*li4half*z3 + 280*ln2^4*z3 - 3360*ln2^2*z2*z3 - 4272*z2^2*z3 + 
    4800*ln2*z3^2 - 7840*z2*z5 + 26375*z7)/2560, 
 H[0, -1, 0, 1, 1, 1, 0, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b - 
    2688*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    20568*z2^2*z3 - 19200*ln2*z3^2 + 52200*z2*z5 - 126165*z7)/7680, 
 H[0, -1, 0, 1, 1, 1, -1, 1] -> (1720320*li7half + 430080*li6half*ln2 + 
    256*ln2^7 - 211200*ln2*s6 + 318720*s7a - 541440*s7b + 107520*li5half*z2 + 
    161280*li4half*ln2*z2 + 4032*ln2^5*z2 - 896*ln2^3*z2^2 + 45216*ln2*z2^3 - 
    107520*li4half*z3 - 4480*ln2^4*z3 + 218400*ln2^2*z2*z3 + 230928*z2^2*z3 + 
    264000*ln2*z3^2 + 833280*ln2^2*z5 + 1661040*z2*z5 - 4697115*z7)/107520, 
 H[0, -1, 0, 1, 1, 0, 1, 1] -> (-36*z2^2*z3 - 4470*z2*z5 + 7685*z7)/1280, 
 H[0, -1, 0, 1, 1, 0, 0, 1] -> (1224*z2^2*z3 + 920*z2*z5 - 5365*z7)/1280, 
 H[0, -1, 0, 1, 1, 0, -1, 1] -> (-320*ln2*s6 + 320*s7a + 320*s7b + 
    56*ln2*z2^3 - 36*z2^2*z3 - 90*ln2*z3^2 - 1227*z2*z5 + 2305*z7)/448, 
 H[0, -1, 0, 1, 1, -1, 1, 1] -> (-1290240*li7half + 107520*li5half*ln2^2 - 
    640*ln2^7 + 426240*ln2*s6 - 426240*s7a + 460800*s7b + 295680*li5half*z2 + 
    241920*li4half*ln2*z2 + 11200*ln2^5*z2 - 81536*ln2^3*z2^2 - 
    58656*ln2*z2^3 - 262080*li4half*z3 - 10920*ln2^4*z3 + 15120*ln2^2*z2*z3 - 
    53184*z2^2*z3 - 532800*ln2*z3^2 - 911400*ln2^2*z5 - 1818120*z2*z5 + 
    3693525*z7)/53760, H[0, -1, 0, 1, 1, -1, 0, 1] -> 
  (-49920*ln2*s6 + 49920*s7a - 57600*s7b + 107520*li5half*z2 - 896*ln2^5*z2 + 
    8960*ln2^3*z2^2 + 33984*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 
    20160*ln2^2*z2*z3 + 936*z2^2*z3 + 62400*ln2*z3^2 + 104160*ln2^2*z5 + 
    134760*z2*z5 - 437475*z7)/26880, H[0, -1, 0, 1, 1, -1, -1, 1] -> 
  (107520*li7half - 53760*li6half*ln2 - 26880*li5half*ln2^2 + 128*ln2^7 - 
    80640*ln2*s6 + 36960*s7a - 33600*s7b + 53760*li5half*z2 - 1120*ln2^5*z2 + 
    12096*ln2^3*z2^2 + 29256*ln2*z2^3 + 6300*ln2^2*z2*z3 + 11046*z2^2*z3 + 
    48615*ln2*z3^2 + 81375*ln2^2*z5 + 62895*z2*z5 - 285495*z7)/13440, 
 H[0, -1, 0, 1, 0, 1, 1, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b + 
    15360*li5half*z2 + 15360*li4half*ln2*z2 + 512*ln2^5*z2 - 
    2560*ln2^3*z2^2 - 2688*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 
    13440*ln2^2*z2*z3 + 20224*z2^2*z3 - 19200*ln2*z3^2 + 40100*z2*z5 - 
    130375*z7)/2560, H[0, -1, 0, 1, 0, 1, 0, 1] -> 
  (-7680*ln2*s6 + 7680*s7a + 7680*s7b + 1344*ln2*z2^3 + 13440*li4half*z3 + 
    560*ln2^4*z3 - 3360*ln2^2*z2*z3 - 11340*z2^2*z3 + 9600*ln2*z3^2 - 
    25320*z2*z5 + 65025*z7)/960, H[0, -1, 0, 1, 0, 1, -1, 1] -> 
  (-38400*ln2*s6 + 38400*s7a + 38400*s7b - 161280*li4half*ln2*z2 - 
    6720*ln2^5*z2 + 40320*ln2^3*z2^2 + 45312*ln2*z2^3 + 107520*li4half*z3 + 
    4480*ln2^4*z3 - 168000*ln2^2*z2*z3 - 85464*z2^2*z3 + 159720*ln2*z3^2 - 
    207300*z2*z5 + 503085*z7)/26880, H[0, -1, 0, 1, 0, 0, 1, 1] -> 
  (144*z2^2*z3 - 2380*z2*z5 + 3595*z7)/1280, H[0, -1, 0, 1, 0, 0, 0, 1] -> 
  (63*z2^2*z3 + 75*z2*z5 - 400*z7)/40, H[0, -1, 0, 1, 0, 0, -1, 1] -> 
  (-23040*ln2*s6 + 23040*s7a + 23040*s7b + 4032*ln2*z2^3 - 3600*z2^2*z3 - 
    6480*ln2*z3^2 - 34640*z2*z5 + 78425*z7)/8960, 
 H[0, -1, 0, 1, 0, -1, 1, 1] -> (-49920*ln2*s6 + 49920*s7a + 49920*s7b - 
    322560*li5half*z2 - 161280*li4half*ln2*z2 - 4032*ln2^5*z2 + 
    13440*ln2^3*z2^2 - 29856*ln2*z2^3 + 174720*li4half*z3 + 7280*ln2^4*z3 - 
    43680*ln2^2*z2*z3 - 75336*z2^2*z3 + 62400*ln2*z3^2 + 199020*z2*z5 + 
    248175*z7)/26880, H[0, -1, 0, 1, 0, -1, 0, 1] -> 
  (-18*z2^2*z3 - 160*z2*z5 + 315*z7)/160, H[0, -1, 0, 1, 0, -1, -1, 1] -> 
  (-6400*ln2*s6 + 6400*s7a + 6400*s7b + 1120*ln2*z2^3 - 1056*z2^2*z3 - 
    1800*ln2*z3^2 - 9000*z2*z5 + 20865*z7)/8960, 
 H[0, -1, 0, 1, -1, 1, 1, 1] -> (5160960*li7half + 215040*li4half*ln2^3 + 
    7936*ln2^7 - 1301760*ln2*s6 + 1301760*s7a - 2891520*s7b - 
    4354560*li5half*z2 - 2096640*li4half*ln2*z2 - 83328*ln2^5*z2 + 
    435456*ln2^3*z2^2 - 434016*ln2*z2^3 + 1411200*li4half*z3 + 
    58800*ln2^4*z3 + 433440*ln2^2*z2*z3 + 968400*z2^2*z3 + 1627200*ln2*z3^2 + 
    4062240*ln2^2*z5 + 14128560*z2*z5 - 23684085*z7)/322560, 
 H[0, -1, 0, 1, -1, 1, 0, 1] -> (-38400*ln2*s6 + 38400*s7a + 253440*s7b - 
    107520*li5half*z2 + 53760*li4half*ln2*z2 + 3136*ln2^5*z2 - 
    22400*ln2^3*z2^2 - 16608*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 
    26880*ln2^2*z2*z3 - 217848*z2^2*z3 + 48000*ln2*z3^2 - 208320*ln2^2*z5 - 
    710880*z2*z5 + 1849395*z7)/26880, H[0, -1, 0, 1, -1, 1, -1, 1] -> 
  (-645120*li7half - 80640*li6half*ln2 - 13440*li4half*ln2^3 - 544*ln2^7 + 
    154080*ln2*s6 - 144000*s7a + 218880*s7b - 80640*li5half*z2 - 
    80640*li4half*ln2*z2 - 336*ln2^5*z2 - 9408*ln2^3*z2^2 - 32184*ln2*z2^3 + 
    60480*li4half*z3 + 2520*ln2^4*z3 - 113400*ln2^2*z2*z3 - 109548*z2^2*z3 - 
    88965*ln2*z3^2 - 351540*ln2^2*z5 - 642960*z2*z5 + 1880280*z7)/20160, 
 H[0, -1, 0, 1, -1, 0, 1, 1] -> (29760*ln2*s6 - 29760*s7a - 29760*s7b + 
    215040*li5half*z2 + 107520*li4half*ln2*z2 + 2688*ln2^5*z2 - 
    8960*ln2^3*z2^2 + 22128*ln2*z2^3 - 104160*li4half*z3 - 4340*ln2^4*z3 + 
    26040*ln2^2*z2*z3 + 47616*z2^2*z3 - 37200*ln2*z3^2 - 154395*z2*z5 - 
    134145*z7)/6720, H[0, -1, 0, 1, -1, 0, 0, 1] -> 
  (-23040*ln2*s6 + 23040*s7a + 23040*s7b + 19872*ln2*z2^3 + 
    80640*li4half*z3 + 3360*ln2^4*z3 - 20160*ln2^2*z2*z3 - 15192*z2^2*z3 + 
    28800*ln2*z3^2 - 43740*z2*z5 + 16685*z7)/8960, 
 H[0, -1, 0, 1, -1, 0, -1, 1] -> 
  (-7680*ln2*s6 + 15360*s7b + 7680*li5half*z2 + 3840*li4half*ln2*z2 + 
    96*ln2^5*z2 - 320*ln2^3*z2^2 + 5568*ln2*z2^3 - 1920*li4half*z3 - 
    80*ln2^4*z3 + 480*ln2^2*z2*z3 - 2952*z2^2*z3 - 8040*ln2*z3^2 - 
    14880*ln2^2*z5 - 46230*z2*z5 + 67965*z7)/1920, 
 H[0, -1, 0, 1, -1, -1, 1, 1] -> (322560*li7half - 80640*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 512*ln2^7 + 27360*ln2*s6 - 27360*s7a - 158400*s7b + 
    342720*li5half*z2 + 241920*li4half*ln2*z2 + 8568*ln2^5*z2 - 
    31920*ln2^3*z2^2 + 30744*ln2*z2^3 - 241920*li4half*z3 - 10080*ln2^4*z3 + 
    79380*ln2^2*z2*z3 + 143820*z2^2*z3 - 34200*ln2*z3^2 + 253890*ln2^2*z5 + 
    74385*z2*z5 - 1116720*z7)/40320, H[0, -1, 0, 1, -1, -1, 0, 1] -> 
  (-119040*ln2*s6 + 119040*s7a + 11520*s7b - 53760*li4half*ln2*z2 - 
    2240*ln2^5*z2 + 13440*ln2^3*z2^2 + 40512*ln2*z2^3 + 255360*li4half*z3 + 
    10640*ln2^4*z3 - 63840*ln2^2*z2*z3 - 100920*z2^2*z3 + 148800*ln2*z3^2 + 
    104160*ln2^2*z5 + 33360*z2*z5 + 46965*z7)/26880, 
 H[0, -1, 0, 1, -1, -1, -1, 1] -> (1290240*li7half + 645120*li6half*ln2 + 
    322560*li5half*ln2^2 + 107520*li4half*ln2^3 + 2432*ln2^7 - 
    328320*ln2*s6 - 34560*s7a + 449280*s7b + 483840*li5half*z2 - 
    12096*ln2^5*z2 + 86016*ln2^3*z2^2 + 434880*ln2*z2^3 - 60480*li4half*z3 - 
    2520*ln2^4*z3 + 15120*ln2^2*z2*z3 - 86328*z2^2*z3 - 198180*ln2*z3^2 - 
    976500*ln2^2*z5 - 1308420*z2*z5 + 158355*z7)/161280, 
 H[0, -1, 0, 0, 1, 1, 1, 1] -> (-1920*ln2*s6 + 1920*s7a + 1920*s7b - 
    1920*li5half*z2 - 1920*li4half*ln2*z2 - 64*ln2^5*z2 + 320*ln2^3*z2^2 + 
    336*ln2*z2^3 + 3360*li4half*z3 + 140*ln2^4*z3 - 1680*ln2^2*z2*z3 - 
    3080*z2^2*z3 + 2400*ln2*z3^2 - 5010*z2*z5 + 18075*z7)/640, 
 H[0, -1, 0, 0, 1, 1, 0, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b - 
    2688*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    26712*z2^2*z3 - 19200*ln2*z3^2 + 47880*z2*z5 - 138705*z7)/3840, 
 H[0, -1, 0, 0, 1, 1, -1, 1] -> (25920*ln2*s6 + 7680*s7a - 12480*s7b + 
    40320*li4half*ln2*z2 + 1680*ln2^5*z2 - 10080*ln2^3*z2^2 - 9576*ln2*z2^3 - 
    26880*li4half*z3 - 1120*ln2^4*z3 + 19320*ln2^2*z2*z3 + 23958*z2^2*z3 - 
    44160*ln2*z3^2 + 19530*ln2^2*z5 + 53040*z2*z5 - 117405*z7)/13440, 
 H[0, -1, 0, 0, 1, 0, 1, 1] -> (-186*z2^2*z3 + 1755*z2*z5 - 2365*z7)/320, 
 H[0, -1, 0, 0, 1, 0, 0, 1] -> (-3*(744*z2^2*z3 + 600*z2*z5 - 3805*z7))/640, 
 H[0, -1, 0, 0, 1, 0, -1, 1] -> (11520*ln2*s6 - 11520*s7a - 11520*s7b - 
    2016*ln2*z2^3 + 1296*z2^2*z3 + 3240*ln2*z3^2 + 29150*z2*z5 - 57465*z7)/
   2240, H[0, -1, 0, 0, 1, -1, 1, 1] -> 
  (-2880*s7b - 432*ln2*z2^3 + 2160*ln2^2*z2*z3 + 1236*z2^2*z3 + 
    1240*ln2^2*z5 + 10400*z2*z5 - 19965*z7)/640, 
 H[0, -1, 0, 0, 1, -1, 0, 1] -> (-23040*ln2*s6 + 23040*s7a + 23040*s7b - 
    10368*ln2*z2^3 - 20232*z2^2*z3 + 28800*ln2*z3^2 - 108840*z2*z5 + 
    266095*z7)/8960, H[0, -1, 0, 0, 1, -1, -1, 1] -> 
  (92160*ln2*s6 - 132480*s7a - 24960*s7b - 1008*ln2*z2^3 - 6720*li4half*z3 - 
    280*ln2^4*z3 - 43680*ln2^2*z2*z3 - 3324*z2^2*z3 + 5340*ln2*z3^2 - 
    39060*ln2^2*z5 - 26640*z2*z5 - 44025*z7)/26880, 
 H[0, -1, 0, 0, 0, 1, 1, 1] -> (-288*z2^2*z3 + 1780*z2*z5 - 2075*z7)/1280, 
 H[0, -1, 0, 0, 0, 1, 0, 1] -> (3*(192*z2^2*z3 + 200*z2*z5 - 1055*z7))/320, 
 H[0, -1, 0, 0, 0, 1, -1, 1] -> (-12800*ln2*s6 - 23040*s7a + 48640*s7b + 
    20672*ln2*z2^3 - 6760*z2^2*z3 - 38880*ln2*z3^2 - 69440*ln2^2*z5 - 
    124120*z2*z5 + 178755*z7)/8960, H[0, -1, 0, 0, 0, 0, 1, 1] -> 
  (-384*z2^2*z3 - 3300*z2*z5 + 6935*z7)/640, H[0, -1, 0, 0, 0, 0, 0, 1] -> 
  (-189*z7)/32, H[0, -1, 0, 0, 0, 0, -1, 1] -> 
  (-3*(112*z2^2*z3 + 400*z2*z5 - 1075*z7))/640, 
 H[0, -1, 0, 0, 0, -1, 1, 1] -> (-23040*ln2*s6 + 23040*s7a - 12800*s7b - 
    14400*ln2*z2^3 - 4216*z2^2*z3 + 28800*ln2*z3^2 + 69440*ln2^2*z5 + 
    4560*z2*z5 + 37545*z7)/8960, H[0, -1, 0, 0, 0, -1, 0, 1] -> 
  (252*z2^2*z3 + 940*z2*z5 - 2545*z7)/160, H[0, -1, 0, 0, 0, -1, -1, 1] -> 
  (2560*ln2*s6 + 33280*s7a - 2560*s7b - 448*ln2*z2^3 + 1856*z2^2*z3 + 
    720*ln2*z3^2 + 31040*z2*z5 - 25475*z7)/8960, 
 H[0, -1, 0, 0, -1, 1, 1, 1] -> (1920*ln2*s6 - 1920*s7a + 11520*s7b + 
    23040*li5half*z2 + 11520*li4half*ln2*z2 + 288*ln2^5*z2 - 960*ln2^3*z2^2 + 
    3696*ln2*z2^3 - 12480*li4half*z3 - 520*ln2^4*z3 - 3360*ln2^2*z2*z3 - 
    4068*z2^2*z3 - 2400*ln2*z3^2 - 13020*ln2^2*z5 - 58500*z2*z5 + 80655*z7)/
   3840, H[0, -1, 0, 0, -1, 1, 0, 1] -> 
  (3*(7680*ln2*s6 - 7680*s7a - 7680*s7b + 3456*ln2*z2^3 + 10104*z2^2*z3 - 
     9600*ln2*z3^2 + 30540*z2*z5 - 90005*z7))/8960, 
 H[0, -1, 0, 0, -1, 1, -1, 1] -> (-2880*ln2*s6 + 1280*s7a + 72*ln2*z2^3 + 
    2160*ln2^2*z2*z3 + 584*z2^2*z3 - 810*ln2*z3^2 + 1240*ln2^2*z5 + 
    2390*z2*z5 - 4825*z7)/640, H[0, -1, 0, 0, -1, 0, 1, 1] -> 
  (7*(3*z2*z5 - 5*z7))/64, H[0, -1, 0, 0, -1, 0, 0, 1] -> 
  (-3*(336*z2^2*z3 + 640*z2*z5 - 2545*z7))/640, 
 H[0, -1, 0, 0, -1, 0, -1, 1] -> (2560*ln2*s6 - 2560*s7a - 2560*s7b - 
    448*ln2*z2^3 + 456*z2^2*z3 + 720*ln2*z3^2 + 4830*z2*z5 - 10525*z7)/640, 
 H[0, -1, 0, 0, -1, -1, 1, 1] -> (5760*ln2*s6 - 5760*s7a + 1920*s7b + 
    11520*li5half*z2 + 11520*li4half*ln2*z2 + 384*ln2^5*z2 - 
    1920*ln2^3*z2^2 - 576*ln2*z2^3 - 12480*li4half*z3 - 520*ln2^4*z3 + 
    1680*ln2^2*z2*z3 + 3516*z2^2*z3 - 7200*ln2*z3^2 - 1860*ln2^2*z5 - 
    23490*z2*z5 + 18495*z7)/3840, H[0, -1, 0, 0, -1, -1, 0, 1] -> 
  (16*z2^2*z3 + 308*z2*z5 - 579*z7)/256, H[0, -1, 0, 0, -1, -1, -1, 1] -> 
  (4800*ln2*s6 - 1440*s7a - 4800*s7b - 840*ln2*z2^3 + 1072*z2^2*z3 + 
    1350*ln2*z3^2 + 11405*z2*z5 - 21240*z7)/2240, 
 H[0, -1, 0, -1, 1, 1, 1, 1] -> (-645120*li7half + 128*ln2^7 - 
    391680*ln2*s6 + 391680*s7a + 956160*s7b + 1290240*li5half*z2 + 
    241920*li4half*ln2*z2 - 3360*ln2^5*z2 + 1344*ln2^3*z2^2 + 
    339264*ln2*z2^3 + 383040*li4half*z3 + 39480*ln2^4*z3 - 
    554400*ln2^2*z2*z3 - 868104*z2^2*z3 + 489600*ln2*z3^2 - 546840*ln2^2*z5 - 
    4449240*z2*z5 + 8116785*z7)/161280, H[0, -1, 0, -1, 1, 1, 0, 1] -> 
  (142080*ln2*s6 - 142080*s7a - 249600*s7b + 53760*li5half*z2 - 
    448*ln2^5*z2 + 4480*ln2^3*z2^2 - 26784*ln2*z2^3 - 295680*li4half*z3 - 
    12320*ln2^4*z3 + 97440*ln2^2*z2*z3 + 302592*z2^2*z3 - 189360*ln2*z3^2 + 
    104160*ln2^2*z5 + 724800*z2*z5 - 1914135*z7)/26880, 
 H[0, -1, 0, -1, 1, 1, -1, 1] -> (-1935360*li7half - 645120*li6half*ln2 - 
    512*ln2^7 + 345600*ln2*s6 - 506880*s7a + 218880*s7b + 
    967680*li4half*ln2*z2 + 45696*ln2^5*z2 - 241920*ln2^3*z2^2 - 
    343584*ln2*z2^3 - 645120*li4half*z3 - 50400*ln2^4*z3 + 
    967680*ln2^2*z2*z3 + 394704*z2^2*z3 - 1358100*ln2*z3^2 - 
    703080*ln2^2*z5 - 262440*z2*z5 + 1306665*z7)/161280, 
 H[0, -1, 0, -1, 1, 0, 1, 1] -> (-16320*ln2*s6 + 16320*s7a + 16320*s7b - 
    188160*li5half*z2 - 80640*li4half*ln2*z2 - 1792*ln2^5*z2 + 
    4480*ln2^3*z2^2 - 24480*ln2*z2^3 + 87360*li4half*z3 + 3640*ln2^4*z3 - 
    10080*ln2^2*z2*z3 - 39510*z2^2*z3 + 26280*ln2*z3^2 + 165945*z2*z5 + 
    59700*z7)/6720, H[0, -1, 0, -1, 1, 0, 0, 1] -> 
  (23040*ln2*s6 - 23040*s7a - 23040*s7b - 19872*ln2*z2^3 - 53760*li4half*z3 - 
    2240*ln2^4*z3 + 13440*ln2^2*z2*z3 + 4328*z2^2*z3 - 5280*ln2*z3^2 + 
    48220*z2*z5 - 21585*z7)/8960, H[0, -1, 0, -1, 1, 0, -1, 1] -> 
  (15360*ln2*s6 - 7680*s7a - 23040*s7b - 3840*li5half*z2 + 32*ln2^5*z2 - 
    320*ln2^3*z2^2 - 6912*ln2*z2^3 + 1680*ln2^2*z2*z3 + 4968*z2^2*z3 + 
    8520*ln2*z3^2 + 14880*ln2^2*z5 + 66600*z2*z5 - 115635*z7)/1920, 
 H[0, -1, 0, -1, 1, -1, 1, 1] -> (4515840*li7half - 322560*li5half*ln2^2 + 
    1792*ln2^7 - 1658880*ln2*s6 + 1658880*s7a - 1324800*s7b - 
    967680*li5half*z2 - 967680*li4half*ln2*z2 - 40320*ln2^5*z2 + 
    344064*ln2^3*z2^2 + 332064*ln2*z2^3 + 1048320*li4half*z3 + 
    20160*ln2^4*z3 - 181440*ln2^2*z2*z3 - 28368*z2^2*z3 + 1932480*ln2*z3^2 + 
    2812320*ln2^2*z5 + 5373360*z2*z5 - 10856565*z7)/161280, 
 H[0, -1, 0, -1, 1, -1, 0, 1] -> (58880*ln2*s6 - 58880*s7a + 12800*s7b - 
    53760*li5half*z2 + 448*ln2^5*z2 - 4480*ln2^3*z2^2 - 18080*ln2*z2^3 - 
    53760*li4half*z3 - 2240*ln2^4*z3 + 5600*ln2^2*z2*z3 + 13736*z2^2*z3 - 
    42240*ln2*z3^2 - 69440*ln2^2*z5 - 22900*z2*z5 + 94265*z7)/8960, 
 H[0, -1, 0, -1, 1, -1, -1, 1] -> (-3870720*li7half + 1290240*li6half*ln2 + 
    645120*li5half*ln2^2 - 2816*ln2^7 + 3928320*ln2*s6 - 2880000*s7a - 
    541440*s7b - 1612800*li5half*z2 + 24192*ln2^5*z2 - 408576*ln2^3*z2^2 - 
    1230048*ln2*z2^3 + 40320*li4half*z3 + 48720*ln2^4*z3 - 
    231840*ln2^2*z2*z3 - 39888*z2^2*z3 - 994320*ln2*z3^2 - 2109240*ln2^2*z5 + 
    1882800*z2*z5 + 1101825*z7)/322560, H[0, -1, 0, -1, 0, 1, 1, 1] -> 
  (30720*ln2*s6 - 30720*s7a - 30720*s7b + 23040*li5half*z2 + 
    23040*li4half*ln2*z2 + 768*ln2^5*z2 - 3840*ln2^3*z2^2 - 5376*ln2*z2^3 - 
    55680*li4half*z3 - 2320*ln2^4*z3 + 24000*ln2^2*z2*z3 + 41040*z2^2*z3 - 
    40080*ln2*z3^2 + 80100*z2*z5 - 247125*z7)/3840, 
 H[0, -1, 0, -1, 0, 1, 0, 1] -> (-15360*ln2*s6 + 15360*s7a + 15360*s7b + 
    2688*ln2*z2^3 + 21120*li4half*z3 + 880*ln2^4*z3 - 5280*ln2^2*z2*z3 - 
    16860*z2^2*z3 + 14160*ln2*z3^2 - 46080*z2*z5 + 110955*z7)/960, 
 H[0, -1, 0, -1, 0, 1, -1, 1] -> (-253440*ln2*s6 + 145920*s7a + 360960*s7b - 
    322560*li4half*ln2*z2 - 13440*ln2^5*z2 + 80640*ln2^3*z2^2 + 
    174240*ln2*z2^3 + 215040*li4half*z3 + 8960*ln2^4*z3 - 
    336000*ln2^2*z2*z3 - 219192*z2^2*z3 + 163920*ln2*z3^2 - 208320*ln2^2*z5 - 
    1102740*z2*z5 + 2222565*z7)/26880, H[0, -1, 0, -1, 0, 0, 1, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b - 2688*ln2*z2^3 - 15360*li4half*z3 - 
    640*ln2^4*z3 + 3840*ln2^2*z2*z3 + 12192*z2^2*z3 - 9120*ln2*z3^2 + 
    18780*z2*z5 - 56985*z7)/3840, H[0, -1, 0, -1, 0, 0, 0, 1] -> 
  (1064*z2^2*z3 + 640*z2*z5 - 5055*z7)/320, H[0, -1, 0, -1, 0, 0, -1, 1] -> 
  (-2560*ln2*s6 + 2560*s7a + 2560*s7b + 448*ln2*z2^3 - 5376*li4half*z3 - 
    224*ln2^4*z3 + 1344*ln2^2*z2*z3 + 2512*z2^2*z3 - 5424*ln2*z3^2 - 
    3712*z2*z5 + 5875*z7)/1792, H[0, -1, 0, -1, 0, -1, 1, 1] -> 
  (30720*ln2*s6 - 30720*s7a - 66560*s7b - 107520*li5half*z2 + 896*ln2^5*z2 - 
    8960*ln2^3*z2^2 - 48672*ln2*z2^3 + 47040*ln2^2*z2*z3 + 26024*z2^2*z3 - 
    7040*ln2*z3^2 + 69440*ln2^2*z5 + 263700*z2*z5 - 337725*z7)/8960, 
 H[0, -1, 0, -1, 0, -1, 0, 1] -> (-640*ln2*s6 + 640*s7a + 640*s7b + 
    112*ln2*z2^3 + 480*li4half*z3 + 20*ln2^4*z3 - 120*ln2^2*z2*z3 - 
    379*z2^2*z3 + 240*ln2*z3^2 - 1490*z2*z5 + 3355*z7)/80, 
 H[0, -1, 0, -1, 0, -1, -1, 1] -> (-30720*ln2*s6 + 61440*s7a + 30720*s7b + 
    5376*ln2*z2^3 - 3840*li4half*z3 - 160*ln2^4*z3 + 960*ln2^2*z2*z3 - 
    2496*z2^2*z3 - 12000*ln2*z3^2 - 60480*z2*z5 + 154905*z7)/7680, 
 H[0, -1, 0, -1, -1, 1, 1, 1] -> (-967680*li7half - 53760*li4half*ln2^3 - 
    2048*ln2^7 + 757440*ln2*s6 - 757440*s7a - 92160*s7b + 483840*li5half*z2 + 
    524160*li4half*ln2*z2 + 27216*ln2^5*z2 - 136416*ln2^3*z2^2 - 
    152928*ln2*z2^3 - 917280*li4half*z3 - 49980*ln2^4*z3 + 
    403200*ln2^2*z2*z3 + 487656*z2^2*z3 - 911520*ln2*z3^2 - 644490*ln2^2*z5 - 
    12780*z2*z5 - 897885*z7)/80640, H[0, -1, 0, -1, -1, 1, 0, 1] -> 
  (-326400*ln2*s6 + 326400*s7a + 218880*s7b + 53760*li5half*z2 - 
    53760*li4half*ln2*z2 - 2688*ln2^5*z2 + 17920*ln2^3*z2^2 + 
    60768*ln2*z2^3 + 309120*li4half*z3 + 12880*ln2^4*z3 - 
    100800*ln2^2*z2*z3 - 252432*z2^2*z3 + 255120*ln2*z3^2 + 104160*ln2^2*z5 - 
    660390*z2*z5 + 1619355*z7)/26880, H[0, -1, 0, -1, -1, 1, -1, 1] -> 
  (2257920*li7half + 322560*li6half*ln2 + 53760*li4half*ln2^3 + 2240*ln2^7 - 
    1074240*ln2*s6 + 1033920*s7a - 34560*s7b + 80640*li5half*z2 - 
    524160*li4half*ln2*z2 - 33264*ln2^5*z2 + 206304*ln2^3*z2^2 + 
    394704*ln2*z2^3 + 322560*li4half*z3 + 25200*ln2^4*z3 - 
    428400*ln2^2*z2*z3 - 144540*z2^2*z3 + 853290*ln2*z3^2 + 
    1035090*ln2^2*z5 + 167670*z2*z5 - 1625805*z7)/80640, 
 H[0, -1, 0, -1, -1, 0, 1, 1] -> (-7680*li5half*z2 - 7680*li4half*ln2*z2 - 
    256*ln2^5*z2 + 1280*ln2^3*z2^2 + 4800*li4half*z3 + 200*ln2^4*z3 - 
    4560*ln2^2*z2*z3 - 2040*z2^2*z3 + 4200*ln2*z3^2 - 3915*z2*z5 + 20100*z7)/
   1920, H[0, -1, 0, -1, -1, 0, 0, 1] -> 
  (5120*ln2*s6 - 5120*s7a - 5120*s7b - 896*ln2*z2^3 - 3840*li4half*z3 - 
    160*ln2^4*z3 + 960*ln2^2*z2*z3 + 6784*z2^2*z3 - 1920*ln2*z3^2 + 
    14720*z2*z5 - 43625*z7)/1280, H[0, -1, 0, -1, -1, 0, -1, 1] -> 
  (72960*ln2*s6 - 72960*s7a - 72960*s7b - 53760*li5half*z2 - 
    53760*li4half*ln2*z2 - 1792*ln2^5*z2 + 8960*ln2^3*z2^2 - 12768*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 30240*ln2^2*z2*z3 + 3840*z2^2*z3 + 
    44040*ln2*z3^2 + 229650*z2*z5 - 369405*z7)/26880, 
 H[0, -1, 0, -1, -1, -1, 1, 1] -> (-3870720*li7half + 645120*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 4352*ln2^7 + 1255680*ln2*s6 - 1255680*s7a - 
    449280*s7b - 2257920*li5half*z2 - 483840*li4half*ln2*z2 - 
    17472*ln2^5*z2 - 158592*ln2^3*z2^2 - 1258848*ln2*z2^3 + 
    362880*li4half*z3 + 62160*ln2^4*z3 + 393120*ln2^2*z2*z3 + 
    123120*z2^2*z3 - 581760*ln2*z3^2 - 78120*ln2^2*z5 + 1876680*z2*z5 + 
    2740275*z7)/322560, H[0, -1, 0, -1, -1, -1, 0, 1] -> 
  (-15360*ln2*s6 + 15360*s7a + 15360*s7b + 15360*li5half*z2 + 
    15360*li4half*ln2*z2 + 512*ln2^5*z2 - 2560*ln2^3*z2^2 + 2688*ln2*z2^3 - 
    3840*li4half*z3 - 160*ln2^4*z3 + 7680*ln2^2*z2*z3 - 3264*z2^2*z3 - 
    7680*ln2*z3^2 - 16860*z2*z5 + 23295*z7)/7680, 
 H[0, -1, 0, -1, -1, -1, -1, 1] -> (-645120*li7half - 645120*li6half*ln2 - 
    322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 2560*ln2^7 + 
    115200*ln2*s6 + 247680*s7a - 115200*s7b + 10752*ln2^5*z2 - 
    20160*ln2*z2^3 - 23520*ln2^4*z3 + 41184*z2^2*z3 + 32400*ln2*z3^2 + 
    752940*z2*z5 - 458415*z7)/161280, H[0, -1, -1, 1, 1, 1, 1, 1] -> 
  (887040*li7half - 176*ln2^7 - 120960*ln2*s6 + 120960*s7a - 
    40320*li5half*z2 + 14112*ln2^3*z2^2 + 95040*ln2*z2^3 - 
    60480*ln2^2*z2*z3 - 50400*z2^2*z3 + 151200*ln2*z3^2 + 117180*ln2^2*z5 - 
    39060*z2*z5 - 437535*z7)/80640, H[0, -1, -1, 1, 1, 1, 0, 1] -> 
  (-1290240*li7half + 256*ln2^7 + 257280*ln2*s6 - 257280*s7a - 203520*s7b + 
    53760*li5half*z2 - 5824*ln2^5*z2 + 7168*ln2^3*z2^2 - 161568*ln2*z2^3 - 
    174720*li4half*z3 - 7280*ln2^4*z3 + 124320*ln2^2*z2*z3 + 289344*z2^2*z3 - 
    321600*ln2*z3^2 - 52080*ln2^2*z5 + 646560*z2*z5 - 812565*z7)/107520, 
 H[0, -1, -1, 1, 1, 1, -1, 1] -> (-2419200*li7half - 161280*li6half*ln2 + 
    256*ln2^7 + 161280*ln2*s6 - 564480*s7a + 564480*s7b - 241920*li5half*z2 + 
    5376*ln2^5*z2 - 56448*ln2^3*z2^2 - 214560*ln2*z2^3 - 20160*li4half*z3 - 
    840*ln2^4*z3 + 337680*ln2^2*z2*z3 - 54432*z2^2*z3 - 774900*ln2*z3^2 - 
    1093680*ln2^2*z5 - 1224720*z2*z5 + 4199265*z7)/161280, 
 H[0, -1, -1, 1, 1, 0, 1, 1] -> (-203520*ln2*s6 + 203520*s7a + 122880*s7b - 
    53760*li5half*z2 - 241920*li4half*ln2*z2 - 9632*ln2^5*z2 + 
    49280*ln2^3*z2^2 + 60288*ln2*z2^3 + 282240*li4half*z3 + 11760*ln2^4*z3 - 
    186480*ln2^2*z2*z3 - 190056*z2^2*z3 + 254400*ln2*z3^2 + 78120*ln2^2*z5 - 
    303000*z2*z5 + 997995*z7)/53760, H[0, -1, -1, 1, 1, 0, 0, 1] -> 
  (109440*ln2*s6 - 109440*s7a + 51840*s7b - 53760*li5half*z2 + 448*ln2^5*z2 - 
    24640*ln2^3*z2^2 - 14928*ln2*z2^3 - 87360*li4half*z3 - 3640*ln2^4*z3 + 
    42000*ln2^2*z2*z3 + 17940*z2^2*z3 - 136800*ln2*z3^2 - 156240*ln2^2*z5 - 
    93060*z2*z5 + 210135*z7)/26880, H[0, -1, -1, 1, 1, 0, -1, 1] -> 
  (-1720320*li7half - 430080*li6half*ln2 - 256*ln2^7 + 213120*ln2*s6 - 
    280320*s7a + 378240*s7b - 40320*li5half*z2 + 2128*ln2^5*z2 - 
    33824*ln2^3*z2^2 - 128304*ln2*z2^3 - 12600*ln2^2*z2*z3 - 115128*z2^2*z3 - 
    313440*ln2*z3^2 - 637980*ln2^2*z5 - 1107300*z2*z5 + 3548445*z7)/26880, 
 H[0, -1, -1, 1, 1, -1, 1, 1] -> (-322560*li7half - 80640*li5half*ln2^2 + 
    736*ln2^7 - 46080*ln2*s6 + 46080*s7a + 529920*s7b + 322560*li5half*z2 - 
    12768*ln2^5*z2 + 30240*ln2^3*z2^2 + 146304*ln2*z2^3 + 60480*li4half*z3 + 
    2520*ln2^4*z3 - 317520*ln2^2*z2*z3 - 303048*z2^2*z3 + 57600*ln2*z3^2 - 
    507780*ln2^2*z5 - 1990080*z2*z5 + 3773925*z7)/161280, 
 H[0, -1, -1, 1, 1, -1, 0, 1] -> (645120*li7half - 128*ln2^7 + 25920*ln2*s6 - 
    25920*s7a - 126720*s7b - 201600*li5half*z2 + 4368*ln2^5*z2 - 
    36624*ln2^3*z2^2 + 21312*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 
    103320*ln2^2*z2*z3 + 77760*z2^2*z3 - 32400*ln2*z3^2 + 97650*ln2^2*z5 + 
    611010*z2*z5 - 1485765*z7)/80640, H[0, -1, -1, 1, 1, -1, -1, 1] -> 
  (2580480*li7half + 483840*li6half*ln2 + 80640*li5half*ln2^2 - 512*ln2^7 - 
    253440*ln2*s6 + 737280*s7a - 1036800*s7b + 7392*ln2^5*z2 + 
    43680*ln2^3*z2^2 + 12672*ln2*z2^3 + 301608*z2^2*z3 + 766620*ln2*z3^2 + 
    1757700*ln2^2*z5 + 3101040*z2*z5 - 7472925*z7)/161280, 
 H[0, -1, -1, 1, 0, 1, 1, 1] -> (410880*ln2*s6 - 410880*s7a - 787200*s7b + 
    430080*li5half*z2 + 483840*li4half*ln2*z2 + 16576*ln2^5*z2 - 
    85120*ln2^3*z2^2 - 119520*ln2*z2^3 - 564480*li4half*z3 - 23520*ln2^4*z3 + 
    574560*ln2^2*z2*z3 + 688992*z2^2*z3 - 513600*ln2*z3^2 + 364560*ln2^2*z5 + 
    2327520*z2*z5 - 6082215*z7)/107520, H[0, -1, -1, 1, 0, 1, 0, 1] -> 
  (-23040*ln2*s6 + 23040*s7a + 23040*s7b + 7680*li5half*z2 - 64*ln2^5*z2 + 
    640*ln2^3*z2^2 + 4416*ln2*z2^3 + 24960*li4half*z3 + 1040*ln2^4*z3 - 
    12000*ln2^2*z2*z3 - 30012*z2^2*z3 + 28800*ln2*z3^2 - 83160*z2*z5 + 
    197865*z7)/3840, H[0, -1, -1, 1, 0, 1, -1, 1] -> 
  (1290240*li7half + 322560*li6half*ln2 + 192*ln2^7 - 138720*ln2*s6 + 
    283200*s7a - 355200*s7b + 134400*li5half*z2 - 2464*ln2^5*z2 + 
    36568*ln2^3*z2^2 + 92808*ln2*z2^3 + 6720*li4half*z3 + 280*ln2^4*z3 - 
    64680*ln2^2*z2*z3 + 83220*z2^2*z3 + 346125*ln2*z3^2 + 618450*ln2^2*z5 + 
    902700*z2*z5 - 2845305*z7)/13440, H[0, -1, -1, 1, 0, 0, 1, 1] -> 
  (55680*ln2*s6 - 55680*s7a + 78720*s7b + 53760*li5half*z2 + 
    80640*li4half*ln2*z2 + 2912*ln2^5*z2 - 15680*ln2^3*z2^2 + 
    16992*ln2*z2^3 - 33600*li4half*z3 - 1400*ln2^4*z3 - 6720*ln2^2*z2*z3 - 
    12804*z2^2*z3 - 69600*ln2*z3^2 - 130200*ln2^2*z5 - 415200*z2*z5 + 
    603465*z7)/26880, H[0, -1, -1, 1, 0, 0, 0, 1] -> 
  (-23040*ln2*s6 + 23040*s7a - 12800*s7b + 7776*ln2*z2^3 + 26880*li4half*z3 + 
    1120*ln2^4*z3 - 6720*ln2^2*z2*z3 + 9728*z2^2*z3 + 28800*ln2*z3^2 + 
    34720*ln2^2*z5 + 51460*z2*z5 - 149145*z7)/8960, 
 H[0, -1, -1, 1, 0, 0, -1, 1] -> (-59520*ln2*s6 - 101760*s7a + 247680*s7b - 
    53760*li5half*z2 + 448*ln2^5*z2 - 4480*ln2^3*z2^2 + 69072*ln2*z2^3 + 
    33600*li4half*z3 + 1400*ln2^4*z3 + 6720*ln2^2*z2*z3 - 72300*z2^2*z3 - 
    143160*ln2*z3^2 - 338520*ln2^2*z5 - 630120*z2*z5 + 1109865*z7)/26880, 
 H[0, -1, -1, 1, 0, -1, 1, 1] -> (-1290240*li7half + 107520*li5half*ln2^2 - 
    640*ln2^7 + 311040*ln2*s6 - 311040*s7a + 347520*s7b - 94080*li5half*z2 + 
    4368*ln2^5*z2 - 58576*ln2^3*z2^2 - 129984*ln2*z2^3 - 13440*li4half*z3 - 
    560*ln2^4*z3 + 36120*ln2^2*z2*z3 - 81768*z2^2*z3 - 388800*ln2*z3^2 - 
    670530*ln2^2*z5 - 1003200*z2*z5 + 2936145*z7)/26880, 
 H[0, -1, -1, 1, 0, -1, 0, 1] -> (-119040*ln2*s6 + 119040*s7a + 11520*s7b + 
    161280*li5half*z2 - 1344*ln2^5*z2 + 13440*ln2^3*z2^2 + 66048*ln2*z2^3 + 
    174720*li4half*z3 + 7280*ln2^4*z3 - 73920*ln2^2*z2*z3 - 78828*z2^2*z3 + 
    148800*ln2*z3^2 + 104160*ln2^2*z5 - 117420*z2*z5 + 46965*z7)/26880, 
 H[0, -1, -1, 1, 0, -1, -1, 1] -> (-645120*li7half - 322560*li6half*ln2 - 
    53760*li5half*ln2^2 + 128*ln2^7 - 25440*ln2*s6 - 199680*s7a + 
    264000*s7b + 26880*li5half*z2 - 672*ln2^5*z2 + 2240*ln2^3*z2^2 + 
    34056*ln2*z2^3 + 1260*ln2^2*z2*z3 - 75396*z2^2*z3 - 165180*ln2*z3^2 - 
    432915*ln2^2*z5 - 779070*z2*z5 + 1814580*z7)/13440, 
 H[0, -1, -1, 1, -1, 1, 1, 1] -> (-3548160*li7half + 161280*li4half*ln2^3 + 
    7424*ln2^7 + 1082880*ln2*s6 - 1082880*s7a - 1808640*s7b - 
    1451520*li5half*z2 - 483840*li4half*ln2*z2 - 6720*ln2^5*z2 - 
    138432*ln2^3*z2^2 - 1027872*ln2*z2^3 - 241920*li4half*z3 - 
    10080*ln2^4*z3 + 1451520*ln2^2*z2*z3 + 1422144*z2^2*z3 - 
    1353600*ln2*z3^2 + 703080*ln2^2*z5 + 8170560*z2*z5 - 12043485*z7)/322560, 
 H[0, -1, -1, 1, -1, 1, 0, 1] -> (4515840*li7half - 896*ln2^7 - 
    1175040*ln2*s6 + 1175040*s7a + 207360*s7b - 241920*li5half*z2 + 
    241920*li4half*ln2*z2 + 30912*ln2^5*z2 + 17472*ln2^3*z2^2 + 
    392544*ln2*z2^3 + 483840*li4half*z3 + 20160*ln2^4*z3 - 
    241920*ln2^2*z2*z3 - 839304*z2^2*z3 + 1468800*ln2*z3^2 + 
    937440*ln2^2*z5 - 615420*z2*z5 + 32355*z7)/161280, 
 H[0, -1, -1, 1, -1, 1, -1, 1] -> (-40320*li7half - 120960*li6half*ln2 - 
    20160*li4half*ln2^3 - 1000*ln2^7 + 24480*ln2*s6 + 5760*s7a + 66240*s7b - 
    60480*li5half*z2 - 120960*li4half*ln2*z2 - 4704*ln2^5*z2 + 
    36456*ln2^3*z2^2 + 32688*ln2*z2^3 + 90720*li4half*z3 + 3780*ln2^4*z3 - 
    204120*ln2^2*z2*z3 - 96660*z2^2*z3 + 148005*ln2*z3^2 - 58590*ln2^2*z5 - 
    225765*z2*z5 + 687240*z7)/40320, H[0, -1, -1, 1, -1, 0, 1, 1] -> 
  (37920*ln2*s6 - 37920*s7a + 52800*s7b + 154560*li5half*z2 + 
    100800*li4half*ln2*z2 + 2912*ln2^5*z2 - 9800*ln2^3*z2^2 + 
    27480*ln2*z2^3 - 84000*li4half*z3 - 3500*ln2^4*z3 - 11760*ln2^2*z2*z3 + 
    5862*z2^2*z3 - 47400*ln2*z3^2 - 87885*ln2^2*z5 - 402900*z2*z5 + 
    438285*z7)/13440, H[0, -1, -1, 1, -1, 0, 0, 1] -> 
  (-69120*ln2*s6 + 69120*s7a - 45120*s7b + 13440*li5half*z2 - 112*ln2^5*z2 + 
    16240*ln2^3*z2^2 + 2832*ln2*z2^3 + 90720*li4half*z3 + 3780*ln2^4*z3 - 
    15120*ln2^2*z2*z3 + 20700*z2^2*z3 + 86400*ln2*z3^2 + 110670*ln2^2*z5 + 
    152805*z2*z5 - 384225*z7)/13440, H[0, -1, -1, 1, -1, 0, -1, 1] -> 
  (10321920*li7half + 2580480*li6half*ln2 + 1536*ln2^7 - 1493760*ln2*s6 + 
    2058240*s7a - 2000640*s7b + 591360*li5half*z2 + 161280*li4half*ln2*z2 - 
    8960*ln2^5*z2 + 191744*ln2^3*z2^2 + 839328*ln2*z2^3 - 67200*li4half*z3 - 
    2800*ln2^4*z3 - 3360*ln2^2*z2*z3 + 627600*z2^2*z3 + 1867200*ln2*z3^2 + 
    3932040*ln2^2*z5 + 5671920*z2*z5 - 19724595*z7)/107520, 
 H[0, -1, -1, 1, -1, -1, 1, 1] -> (-967680*li7half + 80640*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 1600*ln2^7 + 322560*ln2*s6 - 322560*s7a + 
    268800*s7b + 161280*li5half*z2 + 241920*li4half*ln2*z2 + 12096*ln2^5*z2 - 
    79968*ln2^3*z2^2 - 115776*ln2*z2^3 - 241920*li4half*z3 - 10080*ln2^4*z3 + 
    60480*ln2^2*z2*z3 + 13440*z2^2*z3 - 403200*ln2*z3^2 - 455700*ln2^2*z5 - 
    1213800*z2*z5 + 2546565*z7)/53760, H[0, -1, -1, 1, -1, -1, 0, 1] -> 
  (-1290240*li7half + 256*ln2^7 - 49920*ln2*s6 + 49920*s7a + 264960*s7b + 
    188160*li5half*z2 - 80640*li4half*ln2*z2 - 10304*ln2^5*z2 + 
    4928*ln2^3*z2^2 - 9504*ln2*z2^3 + 510720*li4half*z3 + 21280*ln2^4*z3 - 
    122640*ln2^2*z2*z3 - 265680*z2^2*z3 + 62400*ln2*z3^2 - 208320*ln2^2*z5 - 
    655680*z2*z5 + 2173035*z7)/53760, H[0, -1, -1, 1, -1, -1, -1, 1] -> 
  (6451200*li7half + 322560*li6half*ln2 - 483840*li5half*ln2^2 + 
    161280*li4half*ln2^3 + 9920*ln2^7 - 1647360*ln2*s6 + 437760*s7a - 
    449280*s7b + 1612800*li5half*z2 - 33600*ln2^5*z2 + 329280*ln2^3*z2^2 + 
    1506528*ln2*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 20160*ln2^2*z2*z3 + 
    166464*z2^2*z3 + 877320*ln2*z3^2 + 156240*ln2^2*z5 + 1347480*z2*z5 - 
    11209815*z7)/322560, H[0, -1, -1, 0, 1, 1, 1, 1] -> 
  (-1920*ln2*s6 + 1920*s7a + 1920*s7b - 2880*li5half*z2 - 
    2880*li4half*ln2*z2 - 96*ln2^5*z2 + 480*ln2^3*z2^2 + 336*ln2*z2^3 + 
    3360*li4half*z3 + 140*ln2^4*z3 - 2100*ln2^2*z2*z3 - 2316*z2^2*z3 + 
    2400*ln2*z3^2 - 4020*z2*z5 + 15555*z7)/1920, 
 H[0, -1, -1, 0, 1, 1, 0, 1] -> (-2*z2^2*z3 - 40*z2*z5 + 73*z7)/128, 
 H[0, -1, -1, 0, 1, 1, -1, 1] -> (24960*ln2*s6 - 4800*s7a + 1920*s7b - 
    53760*li5half*z2 + 448*ln2^5*z2 - 4480*ln2^3*z2^2 - 16128*ln2*z2^3 - 
    6720*li4half*z3 - 280*ln2^4*z3 + 1680*ln2^2*z2*z3 + 1968*z2^2*z3 - 
    13560*ln2*z3^2 - 6510*ln2^2*z5 + 29010*z2*z5 + 38295*z7)/26880, 
 H[0, -1, -1, 0, 1, 0, 1, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b + 
    23040*li5half*z2 + 23040*li4half*ln2*z2 + 768*ln2^5*z2 - 
    3840*ln2^3*z2^2 - 2688*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 
    16800*ln2^2*z2*z3 + 18348*z2^2*z3 - 19200*ln2*z3^2 + 33180*z2*z5 - 
    125565*z7)/3840, H[0, -1, -1, 0, 1, 0, 0, 1] -> 
  (-54*z2^2*z3 - 134*z2*z5 + 413*z7)/64, H[0, -1, -1, 0, 1, 0, -1, 1] -> 
  (1280*ln2*s6 - 1280*s7a - 1280*s7b - 224*ln2*z2^3 + 228*z2^2*z3 + 
    360*ln2*z3^2 + 2360*z2*z5 - 5167*z7)/1792, 
 H[0, -1, -1, 0, 1, -1, 1, 1] -> (8640*ln2*s6 - 8640*s7a - 82560*s7b - 
    13440*li5half*z2 + 112*ln2^5*z2 - 1120*ln2^3*z2^2 - 14928*ln2*z2^3 + 
    52920*ln2^2*z2*z3 + 44904*z2^2*z3 - 10800*ln2*z3^2 + 52080*ln2^2*z5 + 
    326310*z2*z5 - 633645*z7)/26880, H[0, -1, -1, 0, 1, -1, 0, 1] -> 
  (12480*ln2*s6 - 12480*s7a - 12480*s7b - 8664*ln2*z2^3 - 43680*li4half*z3 - 
    1820*ln2^4*z3 + 10920*ln2^2*z2*z3 + 18603*z2^2*z3 - 15600*ln2*z3^2 + 
    12720*z2*z5 - 29940*z7)/6720, H[0, -1, -1, 0, 1, -1, -1, 1] -> 
  (13920*ln2*s6 + 36480*s7a - 50880*s7b - 26880*li5half*z2 + 224*ln2^5*z2 - 
    2240*ln2^3*z2^2 - 27864*ln2*z2^3 - 3360*li4half*z3 - 140*ln2^4*z3 + 
    840*ln2^2*z2*z3 + 15888*z2^2*z3 + 26700*ln2*z3^2 + 94395*ln2^2*z5 + 
    141270*z2*z5 - 175605*z7)/13440, H[0, -1, -1, 0, 0, 1, 1, 1] -> 
  (-2400*ln2*s6 + 2400*s7a + 2400*s7b - 2880*li5half*z2 - 
    2880*li4half*ln2*z2 - 96*ln2^5*z2 + 480*ln2^3*z2^2 + 420*ln2*z2^3 + 
    4200*li4half*z3 + 175*ln2^4*z3 - 2310*ln2^2*z2*z3 - 2994*z2^2*z3 + 
    3000*ln2*z3^2 - 5295*z2*z5 + 19005*z7)/480, 
 H[0, -1, -1, 0, 0, 1, 0, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b - 
    2688*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    22176*z2^2*z3 - 19200*ln2*z3^2 + 55080*z2*z5 - 136575*z7)/3840, 
 H[0, -1, -1, 0, 0, 1, -1, 1] -> (17280*ln2*s6 + 9600*s7a - 44160*s7b + 
    80640*li4half*ln2*z2 + 3360*ln2^5*z2 - 20160*ln2^3*z2^2 - 
    32256*ln2*z2^3 - 47040*li4half*z3 - 1960*ln2^4*z3 + 82320*ln2^2*z2*z3 + 
    45204*z2^2*z3 - 56880*ln2*z3^2 + 52080*ln2^2*z5 + 196500*z2*z5 - 
    384345*z7)/26880, H[0, -1, -1, 0, 0, 0, 1, 1] -> 
  (-8*z2^2*z3 + 455*z2*z5 - 735*z7)/320, H[0, -1, -1, 0, 0, 0, 0, 1] -> 
  (-672*z2^2*z3 - 320*z2*z5 + 3155*z7)/640, H[0, -1, -1, 0, 0, 0, -1, 1] -> 
  (5120*ln2*s6 - 5120*s7a - 5120*s7b - 896*ln2*z2^3 + 1108*z2^2*z3 + 
    1440*ln2*z3^2 + 7060*z2*z5 - 17175*z7)/4480, 
 H[0, -1, -1, 0, 0, -1, 1, 1] -> (-640*ln2*s6 + 640*s7a + 1920*s7b + 
    3840*li5half*z2 - 32*ln2^5*z2 + 320*ln2^3*z2^2 + 1504*ln2*z2^3 - 
    1680*ln2^2*z2*z3 - 1136*z2^2*z3 + 800*ln2*z3^2 - 2480*ln2^2*z5 - 
    10050*z2*z5 + 13695*z7)/1280, H[0, -1, -1, 0, 0, -1, 0, 1] -> 
  (-8*z2^2*z3 + 1640*z2*z5 - 2895*z7)/1280, H[0, -1, -1, 0, 0, -1, -1, 1] -> 
  (-640*ln2*s6 - 640*s7a + 640*s7b + 112*ln2*z2^3 - 184*z2^2*z3 - 
    180*ln2*z3^2 - 1920*z2*z5 + 2855*z7)/1280, 
 H[0, -1, -1, 0, -1, 1, 1, 1] -> (-286080*ln2*s6 + 286080*s7a + 380160*s7b - 
    107520*li5half*z2 - 241920*li4half*ln2*z2 - 9184*ln2^5*z2 + 
    51520*ln2^3*z2^2 + 100416*ln2*z2^3 + 436800*li4half*z3 + 18200*ln2^4*z3 - 
    320880*ln2^2*z2*z3 - 396576*z2^2*z3 + 357600*ln2*z3^2 - 91140*ln2^2*z5 - 
    1230120*z2*z5 + 3034125*z7)/53760, H[0, -1, -1, 0, -1, 1, 0, 1] -> 
  (55680*ln2*s6 - 55680*s7a - 55680*s7b + 3216*ln2*z2^3 - 53760*li4half*z3 - 
    2240*ln2^4*z3 + 13440*ln2^2*z2*z3 + 79302*z2^2*z3 - 69600*ln2*z3^2 + 
    190545*z2*z5 - 531375*z7)/13440, H[0, -1, -1, 0, -1, 1, -1, 1] -> 
  (-92160*ln2*s6 + 11520*s7a - 203520*s7b + 430080*li5half*z2 + 
    483840*li4half*ln2*z2 + 16576*ln2^5*z2 - 85120*ln2^3*z2^2 - 
    37536*ln2*z2^3 - 282240*li4half*z3 - 11760*ln2^4*z3 + 
    493920*ln2^2*z2*z3 + 263136*z2^2*z3 - 325800*ln2*z3^2 + 208320*ln2^2*z5 + 
    439080*z2*z5 - 1830855*z7)/107520, H[0, -1, -1, 0, -1, 0, 1, 1] -> 
  (15360*ln2*s6 - 15360*s7a - 15360*s7b + 23040*li5half*z2 + 
    23040*li4half*ln2*z2 + 768*ln2^5*z2 - 3840*ln2^3*z2^2 - 2688*ln2*z2^3 - 
    26880*li4half*z3 - 1120*ln2^4*z3 + 16800*ln2^2*z2*z3 + 17700*z2^2*z3 - 
    19200*ln2*z3^2 + 48690*z2*z5 - 149715*z7)/3840, 
 H[0, -1, -1, 0, -1, 0, 0, 1] -> (-523*z2^2*z3 - 440*z2*z5 + 2460*z7)/160, 
 H[0, -1, -1, 0, -1, 0, -1, 1] -> (58880*ln2*s6 - 58880*s7a - 58880*s7b - 
    10304*ln2*z2^3 + 10488*z2^2*z3 + 16560*ln2*z3^2 + 130540*z2*z5 - 
    275055*z7)/17920, H[0, -1, -1, 0, -1, -1, 1, 1] -> 
  (203520*ln2*s6 - 203520*s7a + 92160*s7b + 376320*li5half*z2 + 
    241920*li4half*ln2*z2 + 6944*ln2^5*z2 - 29120*ln2^3*z2^2 + 
    92928*ln2*z2^3 - 268800*li4half*z3 - 11200*ln2^4*z3 + 67200*ln2^2*z2*z3 + 
    74304*z2^2*z3 - 254400*ln2*z3^2 - 481740*ln2^2*z5 - 416880*z2*z5 - 
    76515*z7)/53760, H[0, -1, -1, 0, -1, -1, 0, 1] -> 
  (-4*z2^2*z3 - 1506*z2*z5 + 2559*z7)/256, H[0, -1, -1, 0, -1, -1, -1, 1] -> 
  (-67840*ln2*s6 - 66560*s7a + 67840*s7b + 11872*ln2*z2^3 - 20288*z2^2*z3 - 
    19080*ln2*z3^2 - 382680*z2*z5 + 609305*z7)/35840, 
 H[0, -1, -1, -1, 1, 1, 1, 1] -> (161280*li7half - 32*ln2^7 - 40320*ln2*s6 + 
    40320*s7a + 17280*li5half*z2 - 336*ln2^5*z2 + 5664*ln2^3*z2^2 + 
    25056*ln2*z2^3 + 12960*li4half*z3 + 960*ln2^4*z3 - 23040*ln2^2*z2*z3 - 
    18720*z2^2*z3 + 50400*ln2*z3^2 + 39060*ln2^2*z5 - 32760*z2*z5 - 50895*z7)/
   11520, H[0, -1, -1, -1, 1, 1, 0, 1] -> 
  (-161280*li7half + 32*ln2^7 + 29280*ln2*s6 - 29280*s7a - 19200*s7b + 
    33600*li5half*z2 - 952*ln2^5*z2 + 2296*ln2^3*z2^2 - 13344*ln2*z2^3 - 
    23520*li4half*z3 - 980*ln2^4*z3 + 8820*ln2^2*z2*z3 + 35382*z2^2*z3 - 
    38070*ln2*z3^2 - 9765*ln2^2*z5 + 30255*z2*z5 - 52725*z7)/13440, 
 H[0, -1, -1, -1, 1, 1, -1, 1] -> (-3225600*li7half + 322560*li6half*ln2 + 
    1088*ln2^7 + 610560*ln2*s6 - 691200*s7a + 679680*s7b + 
    161280*li5half*z2 + 483840*li4half*ln2*z2 + 18816*ln2^5*z2 - 
    223104*ln2^3*z2^2 - 374688*ln2*z2^3 - 322560*li4half*z3 - 
    25200*ln2^4*z3 + 635040*ln2^2*z2*z3 + 72720*z2^2*z3 - 1362960*ln2*z3^2 - 
    1328040*ln2^2*z5 - 1961280*z2*z5 + 5357295*z7)/322560, 
 H[0, -1, -1, -1, 1, 0, 1, 1] -> (1920*ln2*s6 - 1920*s7a - 6400*s7b - 
    15360*li5half*z2 - 3840*li4half*ln2*z2 - 32*ln2^5*z2 - 480*ln2^3*z2^2 - 
    4224*ln2*z2^3 + 2880*li4half*z3 + 120*ln2^4*z3 + 5440*ln2^2*z2*z3 + 
    2368*z2^2*z3 - 1840*ln2*z3^2 + 4340*ln2^2*z5 + 43580*z2*z5 - 56845*z7)/
   2560, H[0, -1, -1, -1, 1, 0, 0, 1] -> 
  (82560*ln2*s6 - 82560*s7a + 11520*s7b - 26880*li5half*z2 + 224*ln2^5*z2 - 
    12320*ln2^3*z2^2 - 24000*ln2*z2^3 - 127680*li4half*z3 - 5320*ln2^4*z3 + 
    31920*ln2^2*z2*z3 + 2736*z2^2*z3 - 85560*ln2*z3^2 - 91140*ln2^2*z5 - 
    61980*z2*z5 + 237435*z7)/26880, H[0, -1, -1, -1, 1, 0, -1, 1] -> 
  (-1720320*li7half - 430080*li6half*ln2 - 256*ln2^7 + 368640*ln2*s6 - 
    301440*s7a + 115200*s7b - 134400*li5half*z2 + 2912*ln2^5*z2 - 
    41664*ln2^3*z2^2 - 228192*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 
    16800*ln2^2*z2*z3 - 39336*z2^2*z3 - 228540*ln2*z3^2 - 403620*ln2^2*z5 - 
    335040*z2*z5 + 2315865*z7)/53760, H[0, -1, -1, -1, 1, -1, 1, 1] -> 
  (322560*li7half - 483840*li5half*ln2^2 + 3968*ln2^7 - 391680*ln2*s6 + 
    391680*s7a - 979200*s7b - 322560*li5half*z2 - 483840*li4half*ln2*z2 - 
    12096*ln2^5*z2 + 52416*ln2^3*z2^2 - 42912*ln2*z2^3 + 524160*li4half*z3 + 
    10080*ln2^4*z3 + 423360*ln2^2*z2*z3 + 273456*z2^2*z3 + 419040*ln2*z3^2 + 
    1171800*ln2^2*z5 + 4307760*z2*z5 - 7659045*z7)/322560, 
 H[0, -1, -1, -1, 1, -1, 0, 1] -> (5160960*li7half - 1024*ln2^7 + 
    472320*ln2*s6 - 472320*s7a - 956160*s7b - 1451520*li5half*z2 + 
    33600*ln2^5*z2 - 37632*ln2^3*z2^2 - 87264*ln2*z2^3 - 2056320*li4half*z3 - 
    85680*ln2^4*z3 + 443520*ln2^2*z2*z3 + 939168*z2^2*z3 - 308160*ln2*z3^2 + 
    468720*ln2^2*z5 + 2740680*z2*z5 - 7581915*z7)/322560, 
 H[0, -1, -1, -1, 1, -1, -1, 1] -> (-806400*li7half - 161280*li6half*ln2 + 
    80640*li5half*ln2^2 - 736*ln2^7 + 259200*ln2*s6 - 138240*s7a + 
    49920*s7b - 268800*li5half*z2 + 2240*ln2^5*z2 - 31136*ln2^3*z2^2 - 
    184800*ln2*z2^3 - 13440*li4half*z3 + 1400*ln2^4*z3 - 8400*ln2^2*z2*z3 - 
    14016*z2^2*z3 - 129960*ln2*z3^2 - 156240*ln2^2*z5 - 152520*z2*z5 + 
    1421235*z7)/53760, H[0, -1, -1, -1, 0, 1, 1, 1] -> 
  (7680*ln2*s6 - 7680*s7a - 7680*s7b + 5760*li5half*z2 + 
    5760*li4half*ln2*z2 + 192*ln2^5*z2 - 960*ln2^3*z2^2 - 1344*ln2*z2^3 - 
    13920*li4half*z3 - 580*ln2^4*z3 + 6000*ln2^2*z2*z3 + 10212*z2^2*z3 - 
    10020*ln2*z3^2 + 20580*z2*z5 - 62565*z7)/3840, 
 H[0, -1, -1, -1, 0, 1, 0, 1] -> (-15360*ln2*s6 + 15360*s7a + 15360*s7b + 
    2688*ln2*z2^3 + 21120*li4half*z3 + 880*ln2^4*z3 - 5280*ln2^2*z2*z3 - 
    16596*z2^2*z3 + 14160*ln2*z3^2 - 42660*z2*z5 + 104325*z7)/3840, 
 H[0, -1, -1, -1, 0, 1, -1, 1] -> (-134400*ln2*s6 + 268800*s7b - 
    161280*li4half*ln2*z2 - 6720*ln2^5*z2 + 40320*ln2^3*z2^2 + 
    122592*ln2*z2^3 + 127680*li4half*z3 + 5320*ln2^4*z3 - 
    173040*ln2^2*z2*z3 - 144144*z2^2*z3 + 35700*ln2*z3^2 - 260400*ln2^2*z5 - 
    741300*z2*z5 + 1396815*z7)/53760, H[0, -1, -1, -1, 0, 0, 1, 1] -> 
  (-1920*ln2*s6 + 1920*s7a + 1920*s7b - 5760*li5half*z2 - 
    5760*li4half*ln2*z2 - 192*ln2^5*z2 + 960*ln2^3*z2^2 + 336*ln2*z2^3 + 
    4800*li4half*z3 + 200*ln2^4*z3 - 3720*ln2^2*z2*z3 - 3000*z2^2*z3 + 
    3660*ln2*z3^2 - 6750*z2*z5 + 25425*z7)/1920, 
 H[0, -1, -1, -1, 0, 0, 0, 1] -> (1896*z2^2*z3 + 1280*z2*z5 - 8425*z7)/1280, 
 H[0, -1, -1, -1, 0, 0, -1, 1] -> (-1440*ln2*s6 + 1440*s7a + 1440*s7b + 
    252*ln2*z2^3 - 1680*li4half*z3 - 70*ln2^4*z3 + 420*ln2^2*z2*z3 + 
    685*z2^2*z3 - 1875*ln2*z3^2 - 3495*z2*z5 + 6330*z7)/2240, 
 H[0, -1, -1, -1, 0, -1, 1, 1] -> (-180480*ln2*s6 + 180480*s7a - 88320*s7b - 
    645120*li5half*z2 - 322560*li4half*ln2*z2 - 8064*ln2^5*z2 + 
    26880*ln2^3*z2^2 - 166560*ln2*z2^3 + 336000*li4half*z3 + 14000*ln2^4*z3 - 
    84000*ln2^2*z2*z3 - 136224*z2^2*z3 + 319680*ln2*z3^2 + 520800*ln2^2*z5 + 
    505560*z2*z5 + 472095*z7)/107520, H[0, -1, -1, -1, 0, -1, 0, 1] -> 
  (-5120*ln2*s6 + 5120*s7a + 5120*s7b + 896*ln2*z2^3 + 3840*li4half*z3 + 
    160*ln2^4*z3 - 960*ln2^2*z2*z3 - 2424*z2^2*z3 + 1920*ln2*z3^2 - 
    1800*z2*z5 + 7765*z7)/2560, H[0, -1, -1, -1, 0, -1, -1, 1] -> 
  (5760*ln2*s6 + 27840*s7a - 5760*s7b - 1008*ln2*z2^3 - 1680*li4half*z3 - 
    70*ln2^4*z3 + 420*ln2^2*z2*z3 + 3504*z2^2*z3 + 150*ln2*z3^2 + 
    85170*z2*z5 - 123495*z7)/13440, H[0, -1, -1, -1, -1, 1, 1, 1] -> 
  (483840*li7half - 13440*li4half*ln2^3 - 656*ln2^7 - 40320*ln2*s6 + 
    40320*s7a + 40320*li5half*z2 + 40320*li4half*ln2*z2 + 2688*ln2^5*z2 + 
    8064*ln2^3*z2^2 + 61920*ln2*z2^3 - 70560*li4half*z3 - 5880*ln2^4*z3 - 
    42840*ln2^2*z2*z3 - 1512*z2^2*z3 + 59220*ln2*z3^2 + 39060*ln2^2*z5 - 
    80640*z2*z5 - 278775*z7)/80640, H[0, -1, -1, -1, -1, 1, 0, 1] -> 
  (-645120*li7half + 128*ln2^7 - 322560*ln2*s6 + 322560*s7a + 241920*s7b + 
    241920*li5half*z2 - 80640*li4half*ln2*z2 - 8064*ln2^5*z2 + 
    34944*ln2^3*z2^2 + 86112*ln2*z2^3 + 463680*li4half*z3 + 19320*ln2^4*z3 - 
    151200*ln2^2*z2*z3 - 201600*z2^2*z3 + 173880*ln2*z3^2 + 78120*ln2^2*z5 - 
    710640*z2*z5 + 1643985*z7)/161280, H[0, -1, -1, -1, -1, 1, -1, 1] -> 
  (483840*li7half + 241920*li6half*ln2 + 13440*li4half*ln2^3 + 800*ln2^7 - 
    241920*ln2*s6 + 201600*s7a + 201600*li5half*z2 - 40320*li4half*ln2*z2 - 
    4704*ln2^5*z2 + 24192*ln2^3*z2^2 + 110592*ln2*z2^3 + 50400*li4half*z3 + 
    5040*ln2^4*z3 - 12600*ln2^2*z2*z3 - 10080*z2^2*z3 + 108360*ln2*z3^2 + 
    195300*ln2^2*z5 + 6300*z2*z5 - 677565*z7)/80640, 
 H[0, -1, -1, -1, -1, 0, 1, 1] -> (1920*ln2*s6 - 1920*s7a - 1920*s7b + 
    960*li5half*z2 + 960*li4half*ln2*z2 + 32*ln2^5*z2 - 160*ln2^3*z2^2 - 
    336*ln2*z2^3 - 2160*li4half*z3 - 90*ln2^4*z3 + 960*ln2^2*z2*z3 + 
    1710*z2^2*z3 - 1350*ln2*z3^2 + 4830*z2*z5 - 13245*z7)/1920, 
 H[0, -1, -1, -1, -1, 0, 0, 1] -> (320*ln2*s6 - 320*s7a - 320*s7b - 
    56*ln2*z2^3 - 240*li4half*z3 - 10*ln2^4*z3 + 60*ln2^2*z2*z3 + 
    134*z2^2*z3 - 120*ln2*z3^2 + 620*z2*z5 - 1285*z7)/320, 
 H[0, -1, -1, -1, -1, 0, -1, 1] -> (19200*ln2*s6 - 19200*s7a - 19200*s7b - 
    7680*li5half*z2 - 7680*li4half*ln2*z2 - 256*ln2^5*z2 + 1280*ln2^3*z2^2 - 
    3360*ln2*z2^3 + 3840*li4half*z3 + 160*ln2^4*z3 - 4320*ln2^2*z2*z3 + 
    2304*z2^2*z3 + 8760*ln2*z3^2 + 25680*z2*z5 - 49425*z7)/15360, 
 H[0, -1, -1, -1, -1, -1, 1, 1] -> (-13440*li7half + 6720*li5half*ln2^2 + 
    2240*li4half*ln2^3 + 40*ln2^7 + 13440*ln2*s6 - 13440*s7a - 
    13440*li5half*z2 - 112*ln2^5*z2 - 1008*ln2^3*z2^2 - 6144*ln2*z2^3 - 
    3360*li4half*z3 + 350*ln2^4*z3 + 840*ln2^2*z2*z3 + 672*z2^2*z3 - 
    6510*ln2*z3^2 - 13020*ln2^2*z5 - 420*z2*z5 + 26355*z7)/13440, 
 H[0, -1, -1, -1, -1, -1, 0, 1] -> (-3840*ln2*s6 + 3840*s7a + 3840*s7b + 
    3840*li5half*z2 + 3840*li4half*ln2*z2 + 128*ln2^5*z2 - 640*ln2^3*z2^2 + 
    672*ln2*z2^3 - 960*li4half*z3 - 40*ln2^4*z3 + 1920*ln2^2*z2*z3 - 
    384*z2^2*z3 - 1920*ln2*z3^2 - 7440*z2*z5 + 9885*z7)/7680, 
 H[0, -1, -1, -1, -1, -1, -1, 1] -> (-20160*li7half - 20160*li6half*ln2 - 
    10080*li5half*ln2^2 - 3360*li4half*ln2^3 - 80*ln2^7 + 336*ln2^5*z2 - 
    735*ln2^4*z3 + 20160*z7)/20160, H[-1, 1, 1, 1, 1, 1, 1, 1] -> li7half, 
 H[-1, 1, 1, 1, 1, 1, 0, 1] -> (-107520*li7half - 26880*li6half*ln2 - 
    16*ln2^7 + 13440*ln2*s6 - 13440*s7a + 224*ln2^5*z2 + 224*ln2^3*z2^2 - 
    5376*ln2*z2^3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 10080*z2^2*z3 - 
    16800*ln2*z3^2 - 26460*ln2^2*z5 + 13020*z2*z5 + 12915*z7)/26880, 
 H[-1, 1, 1, 1, 1, 1, -1, 1] -> (-322560*li7half - 161280*li6half*ln2 - 
    80640*li5half*ln2^2 - 26880*li4half*ln2^3 - 640*ln2^7 + 80640*ln2*s6 - 
    80640*s7a - 80640*s7b + 80640*li5half*z2 + 80640*li4half*ln2*z2 + 
    5376*ln2^5*z2 - 13440*ln2^3*z2^2 - 14112*ln2*z2^3 - 141120*li4half*z3 - 
    11760*ln2^4*z3 + 70560*ln2^2*z2*z3 + 129024*z2^2*z3 - 100800*ln2*z3^2 + 
    236880*z2*z5 - 530145*z7)/161280, H[-1, 1, 1, 1, 1, 0, 1, 1] -> 
  (591360*li7half + 268800*li6half*ln2 + 26880*li5half*ln2^2 + 32*ln2^7 - 
    82560*ln2*s6 + 82560*s7a - 38400*s7b + 26880*li5half*z2 - 672*ln2^5*z2 - 
    2016*ln2^3*z2^2 + 28608*ln2*z2^3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 
    29280*z2^2*z3 + 103200*ln2*z3^2 + 224700*ln2^2*z5 + 9060*z2*z5 - 
    421605*z7)/53760, H[-1, 1, 1, 1, 1, 0, 0, 1] -> 
  (-967680*li7half - 322560*li6half*ln2 - 256*ln2^7 + 167040*ln2*s6 - 
    86400*s7a + 115200*s7b + 80640*li5half*z2 + 2016*ln2^5*z2 - 
    6048*ln2^3*z2^2 - 80064*ln2*z2^3 - 6720*ln2^4*z3 - 41184*z2^2*z3 - 
    128160*ln2*z3^2 - 356580*ln2^2*z5 - 264060*z2*z5 + 1431135*z7)/161280, 
 H[-1, 1, 1, 1, 1, 0, -1, 1] -> (-1290240*li7half - 403200*li6half*ln2 - 
    40320*li5half*ln2^2 + 32*ln2^7 + 83520*ln2*s6 - 83520*s7a + 178560*s7b + 
    80640*li5half*z2 - 672*ln2^5*z2 - 15456*ln2^3*z2^2 - 102240*ln2*z2^3 + 
    50400*li4half*z3 + 7140*ln2^4*z3 - 42840*ln2^2*z2*z3 - 97956*z2^2*z3 - 
    73530*ln2*z3^2 - 219870*ln2^2*z5 - 566730*z2*z5 + 2215125*z7)/80640, 
 H[-1, 1, 1, 1, 1, -1, 1, 1] -> (322560*li7half + 322560*li6half*ln2 + 
    129024*li5half*ln2^2 + 32256*li4half*ln2^3 + 640*ln2^7 - 80640*ln2*s6 + 
    80640*s7a + 80640*s7b - 129024*li5half*z2 - 96768*li4half*ln2*z2 - 
    5376*ln2^5*z2 + 13440*ln2^3*z2^2 + 14112*ln2*z2^3 + 169344*li4half*z3 + 
    11760*ln2^4*z3 - 70560*ln2^2*z2*z3 - 129024*z2^2*z3 + 100800*ln2*z3^2 - 
    236880*z2*z5 + 530145*z7)/64512, H[-1, 1, 1, 1, 1, -1, 0, 1] -> 
  (107520*li7half - 215040*li6half*ln2 - 161280*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 1216*ln2^7 + 80640*ln2*s6 - 26880*s7a - 
    134400*s7b + 107520*li5half*z2 + 107520*li4half*ln2*z2 + 8064*ln2^5*z2 - 
    18816*ln2^3*z2^2 - 2016*ln2*z2^3 - 174720*li4half*z3 - 14560*ln2^4*z3 + 
    63840*ln2^2*z2*z3 + 129696*z2^2*z3 - 47880*ln2*z3^2 + 105840*ln2^2*z5 + 
    396480*z2*z5 - 1081815*z7)/107520, H[-1, 1, 1, 1, 1, -1, -1, 1] -> 
  (-645120*li7half - 645120*li6half*ln2 - 161280*li5half*ln2^2 + 640*ln2^7 - 
    80640*ln2*s6 - 80640*s7a + 80640*s7b + 161280*li5half*z2 - 
    5376*ln2^5*z2 + 13440*ln2^3*z2^2 + 14112*ln2*z2^3 + 11760*ln2^4*z3 - 
    70560*ln2^2*z2*z3 - 48384*z2^2*z3 + 100800*ln2*z3^2 - 236880*z2*z5 + 
    827505*z7)/322560, H[-1, 1, 1, 1, 0, 1, 1, 1] -> 
  (-6451200*li7half - 3225600*li6half*ln2 - 645120*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 64*ln2^7 + 599040*ln2*s6 - 599040*s7a + 
    610560*s7b + 645120*li5half*z2 + 161280*li4half*ln2*z2 + 1344*ln2^5*z2 + 
    6720*ln2^3*z2^2 - 141984*ln2*z2^3 + 40320*li4half*z3 - 11760*ln2^4*z3 + 
    70560*ln2^2*z2*z3 - 69696*z2^2*z3 - 748800*ln2*z3^2 - 2139480*ln2^2*z5 - 
    863640*z2*z5 + 6128865*z7)/322560, H[-1, 1, 1, 1, 0, 1, 0, 1] -> 
  (53760*li7half + 13440*li6half*ln2 + 8*ln2^7 - 9480*ln2*s6 + 1920*s7a - 
    4800*s7b - 6720*li5half*z2 - 1680*li4half*ln2*z2 - 70*ln2^5*z2 + 
    574*ln2^3*z2^2 + 4048*ln2*z2^3 - 3360*li4half*z3 + 140*ln2^4*z3 + 
    840*ln2^2*z2*z3 + 2976*z2^2*z3 + 4815*ln2*z3^2 + 15750*ln2^2*z5 + 
    11790*z2*z5 - 67860*z7)/3360, H[-1, 1, 1, 1, 0, 1, -1, 1] -> 
  (13547520*li7half + 3225600*li6half*ln2 + 645120*li5half*ln2^2 + 
    268800*li4half*ln2^3 + 7616*ln2^7 - 2257920*ln2*s6 + 1451520*s7a - 
    1532160*s7b - 645120*li5half*z2 - 322560*li4half*ln2*z2 - 
    52416*ln2^5*z2 + 444864*ln2^3*z2^2 + 1355040*ln2*z2^3 + 
    282240*li4half*z3 + 1680*ln2^4*z3 - 10080*ln2^2*z2*z3 + 284256*z2^2*z3 + 
    1869840*ln2*z3^2 + 2686320*ln2^2*z5 + 4798080*z2*z5 - 19765935*z7)/
   322560, H[-1, 1, 1, 1, 0, 0, 1, 1] -> 
  (430080*li7half + 430080*li6half*ln2 + 107520*li5half*ln2^2 - 384*ln2^7 + 
    34560*ln2*s6 - 7680*s7a + 126720*s7b - 322560*li5half*z2 - 
    107520*li4half*ln2*z2 - 10752*ln2^3*z2^2 - 10976*ln2*z2^3 + 
    174720*li4half*z3 + 2800*ln2^4*z3 - 70560*ln2^2*z2*z3 - 50880*z2^2*z3 - 
    33120*ln2*z3^2 - 51240*ln2^2*z5 - 458760*z2*z5 + 811035*z7)/107520, 
 H[-1, 1, 1, 1, 0, 0, 0, 1] -> (7680*ln2*s6 + 72960*s7a - 88320*s7b + 
    53760*li5half*z2 - 448*ln2^5*z2 + 7616*ln2^3*z2^2 - 4128*ln2*z2^3 - 
    40320*li4half*z3 - 1680*ln2^4*z3 - 3360*ln2^2*z2*z3 + 43200*z2^2*z3 + 
    44160*ln2*z3^2 + 102480*ln2^2*z5 + 290520*z2*z5 - 610035*z7)/53760, 
 H[-1, 1, 1, 1, 0, 0, -1, 1] -> (-483840*li7half - 322560*li6half*ln2 - 
    80640*li5half*ln2^2 + 320*ln2^7 - 129600*ln2*s6 + 109440*s7a + 
    149760*s7b - 40320*li4half*ln2*z2 - 3696*ln2^5*z2 + 11760*ln2^3*z2^2 + 
    12480*ln2*z2^3 + 181440*li4half*z3 + 10920*ln2^4*z3 - 85680*ln2^2*z2*z3 - 
    93960*z2^2*z3 + 75060*ln2*z3^2 - 20160*ln2^2*z5 - 461340*z2*z5 + 
    1390275*z7)/80640, H[-1, 1, 1, 1, 0, -1, 1, 1] -> 
  (-4193280*li7half + 2257920*li6half*ln2 + 645120*li5half*ln2^2 - 
    161280*li4half*ln2^3 - 8128*ln2^7 + 2534400*ln2*s6 - 1002240*s7a + 
    771840*s7b - 645120*li5half*z2 + 55104*ln2^5*z2 - 463680*ln2^3*z2^2 - 
    1005408*ln2*z2^3 - 322560*li4half*z3 - 23520*ln2^4*z3 + 
    141120*ln2^2*z2*z3 + 102672*z2^2*z3 - 1792080*ln2*z3^2 - 
    1922760*ln2^2*z5 - 2118600*z2*z5 + 7800885*z7)/322560, 
 H[-1, 1, 1, 1, 0, -1, 0, 1] -> (1720320*li7half + 430080*li6half*ln2 + 
    256*ln2^7 - 211200*ln2*s6 + 318720*s7a - 541440*s7b + 215040*li5half*z2 + 
    53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 29120*ln2^3*z2^2 + 
    95584*ln2*z2^3 - 268800*li4half*z3 - 4480*ln2^4*z3 + 67200*ln2^2*z2*z3 + 
    233952*z2^2*z3 + 306840*ln2*z3^2 + 902160*ln2^2*z5 + 1593840*z2*z5 - 
    4697115*z7)/107520, H[-1, 1, 1, 1, 0, -1, -1, 1] -> 
  (-2257920*li7half - 2257920*li6half*ln2 - 645120*li5half*ln2^2 - 
    53760*li4half*ln2^3 + 448*ln2^7 - 529920*ln2*s6 - 195840*s7a + 
    771840*s7b + 161280*li5half*z2 + 161280*li4half*ln2*z2 + 2688*ln2^5*z2 + 
    37632*ln2^3*z2^2 + 194400*ln2*z2^3 - 40320*li4half*z3 - 15120*ln2^4*z3 + 
    90720*ln2^2*z2*z3 - 170496*z2^2*z3 - 378360*ln2*z3^2 - 967680*ln2^2*z5 - 
    2423520*z2*z5 + 6057675*z7)/322560, H[-1, 1, 1, 1, -1, 1, 1, 1] -> 
  (-645120*li7half - 403200*li6half*ln2 - 120960*li5half*ln2^2 - 
    20160*li4half*ln2^3 - 272*ln2^7 + 83520*ln2*s6 - 83520*s7a + 17280*s7b + 
    120960*li5half*z2 + 60480*li4half*ln2*z2 + 2352*ln2^5*z2 - 
    5040*ln2^3*z2^2 - 17712*ln2*z2^3 - 105840*li4half*z3 - 5880*ln2^4*z3 + 
    35280*ln2^2*z2*z3 + 47952*z2^2*z3 - 104400*ln2*z3^2 - 178290*ln2^2*z5 + 
    26730*z2*z5 + 289845*z7)/40320, H[-1, 1, 1, 1, -1, 1, 0, 1] -> 
  (1720320*li7half + 1075200*li6half*ln2 + 322560*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 704*ln2^7 + 88320*ln2*s6 + 207360*s7a - 
    357120*s7b - 107520*li5half*z2 - 1344*ln2^5*z2 - 9856*ln2^3*z2^2 - 
    9888*ln2*z2^3 - 40320*li4half*z3 + 2800*ln2^4*z3 + 30240*ln2^2*z2*z3 + 
    157440*z2^2*z3 + 136560*ln2*z3^2 + 522480*ln2^2*z5 + 876000*z2*z5 - 
    3089505*z7)/107520, H[-1, 1, 1, 1, -1, 1, -1, 1] -> 
  (2096640*li7half + 1128960*li6half*ln2 + 241920*li5half*ln2^2 - 832*ln2^7 + 
    23040*ln2*s6 + 339840*s7a - 426240*s7b - 241920*li5half*z2 + 
    6720*ln2^5*z2 - 20160*ln2^3*z2^2 + 8352*ln2*z2^3 - 11760*ln2^4*z3 + 
    70560*ln2^2*z2*z3 + 147744*z2^2*z3 + 147600*ln2*z3^2 + 713160*ln2^2*z5 + 
    1305000*z2*z5 - 3804525*z7)/161280, H[-1, 1, 1, 1, -1, 0, 1, 1] -> 
  (-430080*li7half - 107520*li6half*ln2 + 53760*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 608*ln2^7 - 167040*ln2*s6 - 88320*s7a + 
    288000*s7b - 161280*li5half*z2 - 134400*li4half*ln2*z2 - 6496*ln2^5*z2 + 
    24416*ln2^3*z2^2 + 15072*ln2*z2^3 + 174720*li4half*z3 + 8680*ln2^4*z3 - 
    75600*ln2^2*z2*z3 - 156216*z2^2*z3 - 20520*ln2*z3^2 - 224700*ln2^2*z5 - 
    952260*z2*z5 + 2326605*z7)/53760, H[-1, 1, 1, 1, -1, 0, 0, 1] -> 
  (1290240*li7half - 322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 
    2048*ln2^7 - 92160*ln2*s6 + 576000*s7a - 472320*s7b - 322560*li5half*z2 - 
    161280*li4half*ln2*z2 + 1344*ln2^5*z2 + 38976*ln2^3*z2^2 + 
    117792*ln2*z2^3 + 161280*li4half*z3 - 3360*ln2^4*z3 - 
    110880*ln2^2*z2*z3 + 77328*z2^2*z3 + 465480*ln2*z3^2 + 713160*ln2^2*z5 + 
    2508840*z2*z5 - 4659975*z7)/322560, H[-1, 1, 1, 1, -1, 0, -1, 1] -> 
  (3386880*li7half + 1612800*li6half*ln2 + 483840*li5half*ln2^2 + 
    134400*li4half*ln2^3 + 3136*ln2^7 - 259200*ln2*s6 + 823680*s7a - 
    264960*s7b - 645120*li5half*z2 - 483840*li4half*ln2*z2 - 28224*ln2^5*z2 + 
    111552*ln2^3*z2^2 + 220608*ln2*z2^3 + 645120*li4half*z3 + 
    46200*ln2^4*z3 - 312480*ln2^2*z2*z3 - 212616*z2^2*z3 + 773820*ln2*z3^2 + 
    439740*ln2^2*z5 + 1495260*z2*z5 - 4047075*z7)/161280, 
 H[-1, 1, 1, 1, -1, -1, 1, 1] -> (1290240*li7half + 322560*li6half*ln2 + 
    256*ln2^7 - 449280*ln2*s6 + 368640*s7a - 518400*s7b - 2688*ln2^5*z2 - 
    88032*ln2*z2^3 + 11760*ln2^4*z3 - 70560*ln2^2*z2*z3 + 172224*z2^2*z3 + 
    531360*ln2*z3^2 + 1738800*ln2^2*z5 + 671040*z2*z5 - 2311875*z7)/322560, 
 H[-1, 1, 1, 1, -1, -1, 0, 1] -> (-2419200*li7half - 1451520*li6half*ln2 - 
    403200*li5half*ln2^2 - 53760*li4half*ln2^3 - 416*ln2^7 - 161280*ln2*s6 - 
    564480*s7a + 564480*s7b + 322560*li5half*z2 + 161280*li4half*ln2*z2 + 
    4704*ln2^5*z2 - 12096*ln2^3*z2^2 + 19872*ln2*z2^3 - 282240*li4half*z3 - 
    12600*ln2^4*z3 + 110880*ln2^2*z2*z3 - 41328*z2^2*z3 - 512820*ln2*z3^2 - 
    783720*ln2^2*z5 - 1602720*z2*z5 + 4199265*z7)/161280, 
 H[-1, 1, 1, 1, -1, -1, -1, 1] -> (-967680*li7half + 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1024*ln2^7 + 57600*ln2*s6 - 57600*s7a + 
    910080*s7b - 161280*li5half*z2 - 161280*li4half*ln2*z2 - 8064*ln2^5*z2 + 
    26880*ln2^3*z2^2 + 156576*ln2*z2^3 + 282240*li4half*z3 + 11760*ln2^4*z3 - 
    70560*ln2^2*z2*z3 - 383616*z2^2*z3 - 394560*ln2*z3^2 - 1738800*ln2^2*z5 - 
    2386080*z2*z5 + 5554665*z7)/322560, H[-1, 1, 1, 0, 1, 1, 1, 1] -> 
  (604800*li7half + 403200*li6half*ln2 + 120960*li5half*ln2^2 + 
    20160*li4half*ln2^3 + 272*ln2^7 - 83520*ln2*s6 + 83520*s7a - 17280*s7b - 
    120960*li5half*z2 - 60480*li4half*ln2*z2 - 2352*ln2^5*z2 + 
    7728*ln2^3*z2^2 + 9648*ln2*z2^3 + 105840*li4half*z3 + 5880*ln2^4*z3 - 
    35280*ln2^2*z2*z3 - 33840*z2^2*z3 + 104400*ln2*z3^2 + 178290*ln2^2*z5 - 
    26730*z2*z5 - 289845*z7)/40320, H[-1, 1, 1, 0, 1, 1, 0, 1] -> 
  (272640*ln2*s6 + 130560*s7a - 380160*s7b + 322560*li5half*z2 + 
    161280*li4half*ln2*z2 + 4032*ln2^5*z2 - 22400*ln2^3*z2^2 - 
    74208*ln2*z2^3 - 322560*li4half*z3 - 13440*ln2^4*z3 + 77280*ln2^2*z2*z3 + 
    177504*z2^2*z3 + 12840*ln2*z3^2 + 252840*ln2^2*z5 + 1052040*z2*z5 - 
    2168925*z7)/107520, H[-1, 1, 1, 0, 1, 1, -1, 1] -> 
  (-2177280*li7half - 403200*li6half*ln2 - 40320*li5half*ln2^2 - 
    33600*li4half*ln2^3 - 1192*ln2^7 + 410400*ln2*s6 - 259200*s7a + 
    305280*s7b + 40320*li5half*z2 + 100800*li4half*ln2*z2 + 13272*ln2^5*z2 - 
    93408*ln2^3*z2^2 - 232200*ln2*z2^3 - 25200*li4half*z3 - 1050*ln2^4*z3 + 
    32760*ln2^2*z2*z3 - 80964*z2^2*z3 - 365265*ln2*z3^2 - 539595*ln2^2*z5 - 
    921645*z2*z5 + 3537720*z7)/40320, H[-1, 1, 1, 0, 1, 0, 1, 1] -> 
  (-322560*li7half - 161280*li6half*ln2 - 26880*li5half*ln2^2 + 64*ln2^7 + 
    39840*ln2*s6 - 49920*s7a + 24000*s7b + 53760*li5half*z2 + 
    40320*li4half*ln2*z2 + 1008*ln2^5*z2 - 4928*ln2^3*z2^2 - 13344*ln2*z2^3 - 
    25200*li4half*z3 - 1050*ln2^4*z3 + 25620*ln2^2*z2*z3 + 2214*z2^2*z3 - 
    53790*ln2*z3^2 - 114345*ln2^2*z5 - 34905*z2*z5 + 255720*z7)/13440, 
 H[-1, 1, 1, 0, 1, 0, 0, 1] -> (-22080*ln2*s6 - 24960*s7a + 35520*s7b - 
    26880*li5half*z2 + 224*ln2^5*z2 + 448*ln2^3*z2^2 - 1984*ln2*z2^3 + 
    30240*li4half*z3 + 1260*ln2^4*z3 - 840*ln2^2*z2*z3 - 14370*z2^2*z3 - 
    750*ln2*z3^2 - 21630*ln2^2*z5 - 135525*z2*z5 + 267720*z7)/13440, 
 H[-1, 1, 1, 0, 1, 0, -1, 1] -> (1128960*li7half + 483840*li6half*ln2 + 
    80640*li5half*ln2^2 - 224*ln2^7 + 77760*ln2*s6 - 47520*s7a - 239040*s7b - 
    40320*li5half*z2 + 60480*li4half*ln2*z2 + 4200*ln2^5*z2 - 
    6552*ln2^3*z2^2 + 38088*ln2*z2^3 - 131040*li4half*z3 - 11340*ln2^4*z3 + 
    97020*ln2^2*z2*z3 + 127818*z2^2*z3 - 5850*ln2*z3^2 + 157500*ln2^2*z5 + 
    728955*z2*z5 - 2438775*z7)/40320, H[-1, 1, 1, 0, 1, -1, 1, 1] -> 
  (1169280*li7half - 40320*li6half*ln2 - 94080*li5half*ln2^2 - 
    6720*li4half*ln2^3 + 216*ln2^7 - 259200*ln2*s6 + 269280*s7a - 
    359040*s7b + 94080*li5half*z2 + 20160*li4half*ln2*z2 - 3752*ln2^5*z2 + 
    51128*ln2^3*z2^2 + 107208*ln2*z2^3 - 35280*li4half*z3 - 2940*ln2^4*z3 + 
    112632*z2^2*z3 + 328410*ln2*z3^2 + 620865*ln2^2*z5 + 1062135*z2*z5 - 
    2980065*z7)/13440, H[-1, 1, 1, 0, 1, -1, 0, 1] -> 
  (-15482880*li7half - 3870720*li6half*ln2 + 107520*li4half*ln2^3 + 
    2176*ln2^7 + 1514880*ln2*s6 - 3530880*s7a + 4492800*s7b - 
    483840*li5half*z2 - 241920*li4half*ln2*z2 - 16800*ln2^5*z2 - 
    215712*ln2^3*z2^2 - 716544*ln2*z2^3 + 403200*li4half*z3 + 
    16800*ln2^4*z3 - 166320*ln2^2*z2*z3 - 1321416*z2^2*z3 - 
    3456000*ln2*z3^2 - 7449120*ln2^2*z5 - 13874220*z2*z5 + 37738305*z7)/
   161280, H[-1, 1, 1, 0, 1, -1, -1, 1] -> 
  (-17418240*li7half + 967680*li6half*ln2 + 1612800*li5half*ln2^2 + 
    53760*li4half*ln2^3 - 6400*ln2^7 + 4458240*ln2*s6 - 4458240*s7a + 
    4412160*s7b - 645120*li5half*z2 - 161280*li4half*ln2*z2 + 
    67200*ln2^5*z2 - 728448*ln2^3*z2^2 - 1697184*ln2*z2^3 - 
    322560*li4half*z3 - 13440*ln2^4*z3 + 292320*ln2^2*z2*z3 - 
    1069920*z2^2*z3 - 5096520*ln2*z3^2 - 9041760*ln2^2*z5 - 13023720*z2*z5 + 
    37591515*z7)/322560, H[-1, 1, 1, 0, 0, 1, 1, 1] -> 
  (1290240*li7half - 322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 
    2048*ln2^7 + 69120*ln2*s6 - 69120*s7a - 472320*s7b + 322560*li5half*z2 + 
    322560*li4half*ln2*z2 + 16128*ln2^5*z2 - 48384*ln2^3*z2^2 - 
    6048*ln2*z2^3 - 887040*li4half*z3 - 36960*ln2^4*z3 + 221760*ln2^2*z2*z3 + 
    486576*z2^2*z3 - 83880*ln2*z3^2 + 705600*ln2^2*z5 + 1085040*z2*z5 - 
    3885075*z7)/322560, H[-1, 1, 1, 0, 0, 1, 0, 1] -> 
  (80640*s7a + 53760*s7b - 53760*li5half*z2 - 53760*li4half*ln2*z2 - 
    1792*ln2^5*z2 - 1792*ln2^3*z2^2 + 57440*ln2*z2^3 + 215040*li4half*z3 + 
    8960*ln2^4*z3 - 67200*ln2^2*z2*z3 - 173880*z2^2*z3 + 78960*ln2*z3^2 - 
    94920*ln2^2*z5 + 16380*z2*z5 + 301875*z7)/53760, 
 H[-1, 1, 1, 0, 0, 1, -1, 1] -> (322560*li7half + 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 832*ln2^7 - 259200*ln2*s6 + 97920*s7a - 23040*s7b - 
    161280*li5half*z2 - 403200*li4half*ln2*z2 - 14112*ln2^5*z2 + 
    112896*ln2^3*z2^2 + 111456*ln2*z2^3 + 241920*li4half*z3 + 
    21840*ln2^4*z3 - 100800*ln2^2*z2*z3 - 184392*z2^2*z3 + 446220*ln2*z3^2 - 
    274680*ln2^2*z5 + 463320*z2*z5 - 537975*z7)/161280, 
 H[-1, 1, 1, 0, 0, 0, 1, 1] -> (-16800*ln2*s6 + 6720*s7b - 13440*li5half*z2 - 
    13440*li4half*ln2*z2 - 448*ln2^5*z2 + 2688*ln2^3*z2^2 - 1928*ln2*z2^3 + 
    1680*li4half*z3 + 70*ln2^4*z3 - 3780*ln2^2*z2*z3 + 336*z2^2*z3 + 
    5145*ln2*z3^2 + 13335*ln2^2*z5 - 23940*z2*z5 + 59220*z7)/6720, 
 H[-1, 1, 1, 0, 0, 0, 0, 1] -> (448*ln2*s6 - 448*s7b - 256*ln2*z2^3 - 
    672*li4half*z3 - 28*ln2^4*z3 + 168*ln2^2*z2*z3 + 574*z2^2*z3 - 
    336*ln2*z3^2 + 210*ln2^2*z5 + 1757*z2*z5 - 3136*z7)/448, 
 H[-1, 1, 1, 0, 0, 0, -1, 1] -> (-36480*ln2*s6 + 103680*s7a - 71040*s7b - 
    26880*li5half*z2 - 26880*li4half*ln2*z2 - 896*ln2^5*z2 + 
    6048*ln2^3*z2^2 - 39232*ln2*z2^3 - 6720*li4half*z3 - 280*ln2^4*z3 - 
    5040*ln2^2*z2*z3 + 34788*z2^2*z3 + 61980*ln2*z3^2 + 194040*ln2^2*z5 + 
    221070*z2*z5 - 279765*z7)/26880, H[-1, 1, 1, 0, 0, -1, 1, 1] -> 
  (-645120*li7half + 215040*li6half*ln2 + 107520*li5half*ln2^2 + 
    35840*li4half*ln2^3 + 1024*ln2^7 + 234240*ln2*s6 - 368640*s7a + 
    410880*s7b - 107520*li5half*z2 + 53760*li4half*ln2*z2 - 4032*ln2^5*z2 - 
    51520*ln2^3*z2^2 - 66528*ln2*z2^3 + 13440*li4half*z3 + 8400*ln2^4*z3 - 
    70560*ln2^2*z2*z3 - 70080*z2^2*z3 - 393600*ln2*z3^2 - 495600*ln2^2*z5 - 
    1490880*z2*z5 + 3037845*z7)/107520, H[-1, 1, 1, 0, 0, -1, 0, 1] -> 
  (25920*ln2*s6 + 7680*s7a - 12480*s7b + 13440*li5half*z2 + 
    13440*li4half*ln2*z2 + 448*ln2^5*z2 - 4592*ln2^3*z2^2 + 5296*ln2*z2^3 - 
    6720*li4half*z3 - 280*ln2^4*z3 + 5040*ln2^2*z2*z3 - 7962*z2^2*z3 - 
    12450*ln2*z3^2 - 15330*ln2^2*z5 + 72045*z2*z5 - 117405*z7)/13440, 
 H[-1, 1, 1, 0, 0, -1, -1, 1] -> (-645120*li7half - 322560*li6half*ln2 - 
    161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 1216*ln2^7 - 51840*ln2*s6 + 
    414720*s7a - 149760*s7b + 322560*li5half*z2 + 161280*li4half*ln2*z2 + 
    8064*ln2^5*z2 - 33600*ln2^3*z2^2 - 94752*ln2*z2^3 + 100800*li4half*z3 + 
    4200*ln2^4*z3 - 25200*ln2^2*z2*z3 - 10368*z2^2*z3 + 251280*ln2*z3^2 + 
    548100*ln2^2*z5 + 261000*z2*z5 + 51795*z7)/161280, 
 H[-1, 1, 1, 0, -1, 1, 1, 1] -> (-5160960*li7half - 725760*li6half*ln2 + 
    40320*li5half*ln2^2 - 13440*li4half*ln2^3 - 880*ln2^7 + 720000*ln2*s6 - 
    1324800*s7a + 1578240*s7b - 40320*li5half*z2 + 40320*li4half*ln2*z2 + 
    12432*ln2^5*z2 - 161952*ln2^3*z2^2 - 276768*ln2*z2^3 - 70560*li4half*z3 - 
    2940*ln2^4*z3 + 70560*ln2^2*z2*z3 - 386712*z2^2*z3 - 1429200*ln2*z3^2 - 
    2622060*ln2^2*z5 - 4917060*z2*z5 + 12718665*z7)/80640, 
 H[-1, 1, 1, 0, -1, 1, 0, 1] -> (30965760*li7half + 7741440*li6half*ln2 - 
    215040*li4half*ln2^3 - 4352*ln2^7 - 3363840*ln2*s6 + 7879680*s7a - 
    8651520*s7b - 483840*li5half*z2 - 483840*li4half*ln2*z2 + 5376*ln2^5*z2 + 
    525504*ln2^3*z2^2 + 1413792*ln2*z2^3 + 1128960*li4half*z3 + 
    47040*ln2^4*z3 - 413280*ln2^2*z2*z3 + 1509552*z2^2*z3 + 
    8188920*ln2*z3^2 + 15099840*ln2^2*z5 + 27344160*z2*z5 - 70680915*z7)/
   322560, H[-1, 1, 1, 0, -1, 1, -1, 1] -> 
  (5322240*li7half + 483840*li6half*ln2 - 134400*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 1856*ln2^7 - 956160*ln2*s6 + 1157760*s7a - 
    1516800*s7b + 134400*li5half*z2 - 80640*li4half*ln2*z2 - 23744*ln2^5*z2 + 
    213696*ln2^3*z2^2 + 382944*ln2*z2^3 + 40320*li4half*z3 + 7560*ln2^4*z3 - 
    115920*ln2^2*z2*z3 + 386856*z2^2*z3 + 1495080*ln2*z3^2 + 
    2633400*ln2^2*z5 + 4496760*z2*z5 - 12476865*z7)/53760, 
 H[-1, 1, 1, 0, -1, 0, 1, 1] -> (-1290240*li7half - 645120*li6half*ln2 - 
    107520*li5half*ln2^2 + 256*ln2^7 - 53760*ln2*s6 - 188160*s7a + 
    295680*s7b - 268800*li5half*z2 - 161280*li4half*ln2*z2 - 5376*ln2^5*z2 + 
    18592*ln2^3*z2^2 - 68736*ln2*z2^3 + 100800*li4half*z3 + 4200*ln2^4*z3 - 
    8400*ln2^2*z2*z3 - 122640*z2^2*z3 - 140280*ln2*z3^2 - 441000*ln2^2*z5 - 
    527520*z2*z5 + 2552865*z7)/53760, H[-1, 1, 1, 0, -1, 0, 0, 1] -> 
  (1920*ln2*s6 - 69120*s7a + 24960*s7b - 53760*li5half*z2 + 448*ln2^5*z2 + 
    224*ln2^3*z2^2 - 23392*ln2*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 
    25200*ln2^2*z2*z3 + 49356*z2^2*z3 - 57420*ln2*z3^2 - 34860*ln2^2*z5 - 
    89280*z2*z5 + 132855*z7)/26880, H[-1, 1, 1, 0, -1, 0, -1, 1] -> 
  (4515840*li7half + 1935360*li6half*ln2 + 322560*li5half*ln2^2 - 896*ln2^7 - 
    103680*ln2*s6 + 829440*s7a - 1186560*s7b - 887040*li5half*z2 - 
    241920*li4half*ln2*z2 + 2688*ln2^5*z2 + 30240*ln2^3*z2^2 - 
    101376*ln2*z2^3 - 282240*li4half*z3 - 35280*ln2^4*z3 + 
    236880*ln2^2*z2*z3 + 520056*z2^2*z3 + 434520*ln2*z3^2 + 
    1869840*ln2^2*z5 + 4207500*z2*z5 - 9956565*z7)/161280, 
 H[-1, 1, 1, 0, -1, -1, 1, 1] -> (-11612160*li7half + 1128960*li5half*ln2^2 + 
    268800*li4half*ln2^3 + 4096*ln2^7 + 2661120*ln2*s6 - 2903040*s7a + 
    3790080*s7b - 1128960*li5half*z2 - 322560*li4half*ln2*z2 + 
    14784*ln2^5*z2 - 388416*ln2^3*z2^2 - 857952*ln2*z2^3 + 
    443520*li4half*z3 + 18480*ln2^4*z3 + 100800*ln2^2*z2*z3 - 
    1171296*z2^2*z3 - 3538080*ln2*z3^2 - 7635600*ln2^2*z5 - 10190880*z2*z5 + 
    29067885*z7)/322560, H[-1, 1, 1, 0, -1, -1, 0, 1] -> 
  (24960*ln2*s6 - 4800*s7a + 1920*s7b + 40320*li5half*z2 + 
    40320*li4half*ln2*z2 + 1344*ln2^5*z2 - 7280*ln2^3*z2^2 + 4416*ln2*z2^3 - 
    10080*li4half*z3 - 420*ln2^4*z3 + 1680*ln2^2*z2*z3 - 1140*z2^2*z3 - 
    13350*ln2*z3^2 - 14910*ln2^2*z5 - 58560*z2*z5 + 38295*z7)/26880, 
 H[-1, 1, 1, 0, -1, -1, -1, 1] -> (1128960*li7half - 241920*li5half*ln2^2 - 
    80640*li4half*ln2^3 - 1568*ln2^7 - 339840*ln2*s6 + 339840*s7a - 
    426240*s7b - 80640*li5half*z2 + 5376*ln2^5*z2 + 4032*ln2^3*z2^2 - 
    5472*ln2*z2^3 - 100800*li4half*z3 - 10080*ln2^4*z3 + 60480*ln2^2*z2*z3 + 
    181512*z2^2*z3 + 301320*ln2*z3^2 + 1161720*ln2^2*z5 + 1286100*z2*z5 - 
    3049785*z7)/161280, H[-1, 1, 1, -1, 1, 1, 1, 1] -> 
  (6128640*li7half + 3225600*li6half*ln2 + 645120*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 64*ln2^7 - 599040*ln2*s6 + 599040*s7a - 
    610560*s7b - 645120*li5half*z2 - 161280*li4half*ln2*z2 - 1344*ln2^5*z2 - 
    6720*ln2^3*z2^2 + 141984*ln2*z2^3 + 282240*li4half*z3 + 11760*ln2^4*z3 - 
    70560*ln2^2*z2*z3 + 69696*z2^2*z3 + 748800*ln2*z3^2 + 2139480*ln2^2*z5 + 
    863640*z2*z5 - 6128865*z7)/322560, H[-1, 1, 1, -1, 1, 1, 0, 1] -> 
  (-2419200*li7half - 1451520*li6half*ln2 - 322560*li5half*ln2^2 - 
    26880*li4half*ln2^3 + 32*ln2^7 - 190080*ln2*s6 - 414720*s7a + 
    875520*s7b - 161280*li5half*z2 - 161280*li4half*ln2*z2 - 6048*ln2^5*z2 + 
    25536*ln2^3*z2^2 + 108000*ln2*z2^3 + 342720*li4half*z3 + 15120*ln2^4*z3 - 
    126000*ln2^2*z2*z3 - 442728*z2^2*z3 - 273960*ln2*z3^2 - 
    1286460*ln2^2*z5 - 2091780*z2*z5 + 6277815*z7)/161280, 
 H[-1, 1, 1, -1, 1, 1, -1, 1] -> (-725760*li7half - 362880*li6half*ln2 - 
    60480*li5half*ln2^2 + 152*ln2^7 - 21600*ln2*s6 - 129600*s7a + 
    172800*s7b + 60480*li5half*z2 - 1176*ln2^5*z2 + 4200*ln2^3*z2^2 - 
    864*ln2*z2^3 + 1470*ln2^4*z3 - 8820*ln2^2*z2*z3 - 54090*z2^2*z3 - 
    89865*ln2*z3^2 - 267435*ln2^2*z5 - 542565*z2*z5 + 1488510*z7)/40320, 
 H[-1, 1, 1, -1, 1, 0, 1, 1] -> (-3386880*li7half - 1935360*li6half*ln2 - 
    403200*li5half*ln2^2 - 26880*li4half*ln2^3 + 224*ln2^7 + 397440*ln2*s6 - 
    518400*s7a + 207360*s7b + 887040*li5half*z2 + 564480*li4half*ln2*z2 + 
    14112*ln2^5*z2 - 54432*ln2^3*z2^2 - 59904*ln2*z2^3 - 443520*li4half*z3 - 
    20160*ln2^4*z3 + 262080*ln2^2*z2*z3 + 83520*z2^2*z3 - 585000*ln2*z3^2 - 
    1142820*ln2^2*z5 - 396180*z2*z5 + 2233575*z7)/161280, 
 H[-1, 1, 1, -1, 1, 0, 0, 1] -> (322560*li7half + 161280*li6half*ln2 + 
    26880*li5half*ln2^2 - 64*ln2^7 - 8640*ln2*s6 + 55680*s7a - 105600*s7b + 
    40320*li5half*z2 + 40320*li4half*ln2*z2 + 1568*ln2^5*z2 - 
    4592*ln2^3*z2^2 - 6240*ln2*z2^3 - 20160*li4half*z3 - 1680*ln2^4*z3 + 
    16800*ln2^2*z2*z3 + 29520*z2^2*z3 + 59100*ln2*z3^2 + 189630*ln2^2*z5 + 
    178110*z2*z5 - 638325*z7)/26880, H[-1, 1, 1, -1, 1, 0, -1, 1] -> 
  (-241920*li7half - 483840*li6half*ln2 - 221760*li5half*ln2^2 - 
    47040*li4half*ln2^3 - 736*ln2^7 - 69120*ln2*s6 - 112320*s7a - 
    172800*s7b + 282240*li5half*z2 + 201600*li4half*ln2*z2 + 8232*ln2^5*z2 - 
    15792*ln2^3*z2^2 - 504*ln2*z2^3 - 201600*li4half*z3 - 13860*ln2^4*z3 + 
    100800*ln2^2*z2*z3 + 131076*z2^2*z3 - 15030*ln2*z3^2 + 324765*ln2^2*z5 + 
    217800*z2*z5 - 774090*z7)/40320, H[-1, 1, 1, -1, 1, -1, 1, 1] -> 
  (-362880*li7half - 120960*li6half*ln2 - 88*ln2^7 + 120960*ln2*s6 - 
    90720*s7a + 120960*s7b + 840*ln2^5*z2 - 840*ln2^3*z2^2 + 19656*ln2*z2^3 - 
    2940*ln2^4*z3 + 17640*ln2^2*z2*z3 - 38052*z2^2*z3 - 130410*ln2*z3^2 - 
    443205*ln2^2*z5 - 123795*z2*z5 + 536760*z7)/40320, 
 H[-1, 1, 1, -1, 1, -1, 0, 1] -> (752640*li7half + 430080*li6half*ln2 + 
    80640*li5half*ln2^2 - 224*ln2^7 + 21120*ln2*s6 + 180480*s7a - 
    249600*s7b + 1120*ln2^5*z2 + 448*ln2^3*z2^2 - 28608*ln2*z2^3 - 
    2240*ln2^4*z3 - 10080*ln2^2*z2*z3 + 73440*z2^2*z3 + 179400*ln2*z3^2 + 
    428820*ln2^2*z5 + 456000*z2*z5 - 1435965*z7)/53760, 
 H[-1, 1, 1, -1, 1, -1, -1, 1] -> (1935360*li7half - 483840*li5half*ln2^2 - 
    161280*li4half*ln2^3 - 3136*ln2^7 - 34560*ln2*s6 + 34560*s7a - 
    1900800*s7b + 483840*li5half*z2 + 483840*li4half*ln2*z2 + 
    25536*ln2^5*z2 - 73920*ln2^3*z2^2 - 320544*ln2*z2^3 - 846720*li4half*z3 - 
    47040*ln2^4*z3 + 282240*ln2^2*z2*z3 + 931536*z2^2*z3 + 564840*ln2*z3^2 + 
    3545640*ln2^2*z5 + 4699080*z2*z5 - 11462445*z7)/322560, 
 H[-1, 1, 1, -1, 0, 1, 1, 1] -> (6128640*li7half + 2903040*li6half*ln2 + 
    483840*li5half*ln2^2 - 1216*ln2^7 + 783360*ln2*s6 + 1635840*s7a - 
    1992960*s7b - 483840*li5half*z2 + 9408*ln2^5*z2 - 33600*ln2^3*z2^2 - 
    99936*ln2*z2^3 + 1680*ln2^4*z3 - 10080*ln2^2*z2*z3 + 497376*z2^2*z3 + 
    1172880*ln2*z3^2 + 2139480*ln2^2*z5 + 7343640*z2*z5 - 16627005*z7)/
   322560, H[-1, 1, 1, -1, 0, 1, 0, 1] -> 
  (-3870720*li7half + 645120*li5half*ln2^2 + 215040*li4half*ln2^3 + 
    4352*ln2^7 + 1290240*ln2*s6 - 806400*s7a + 80640*s7b + 
    483840*li5half*z2 - 20160*ln2^5*z2 - 28224*ln2^3*z2^2 - 455136*ln2*z2^3 - 
    161280*li4half*z3 + 13440*ln2^4*z3 - 30240*ln2^2*z2*z3 + 126000*z2^2*z3 - 
    778680*ln2*z3^2 - 1512000*ln2^2*z5 - 725760*z2*z5 + 3441375*z7)/322560, 
 H[-1, 1, 1, -1, 0, 1, -1, 1] -> (-181440*li7half + 302400*li6half*ln2 + 
    131040*li5half*ln2^2 + 13440*li4half*ln2^3 - 76*ln2^7 + 218880*ln2*s6 - 
    32400*s7a + 43200*s7b - 131040*li5half*z2 - 40320*li4half*ln2*z2 + 
    1176*ln2^5*z2 - 26964*ln2^3*z2^2 - 76608*ln2*z2^3 + 70560*li4half*z3 + 
    4305*ln2^4*z3 + 630*ln2^2*z2*z3 - 41211*z2^2*z3 - 81765*ln2*z3^2 - 
    216720*ln2^2*z5 + 14220*z2*z5 + 370710*z7)/20160, 
 H[-1, 1, 1, -1, 0, 0, 1, 1] -> (-1935360*li7half - 1935360*li6half*ln2 - 
    645120*li5half*ln2^2 - 107520*li4half*ln2^3 - 1408*ln2^7 - 
    1900800*ln2*s6 - 599040*s7a + 1416960*s7b + 322560*li5half*z2 - 
    322560*li4half*ln2*z2 - 10752*ln2^5*z2 + 139776*ln2^3*z2^2 + 
    347424*ln2*z2^3 - 161280*li4half*z3 - 16800*ln2^4*z3 - 
    161280*ln2^2*z2*z3 - 306576*z2^2*z3 - 88560*ln2*z3^2 + 153720*ln2^2*z5 - 
    6165720*z2*z5 + 11529855*z7)/322560, H[-1, 1, 1, -1, 0, 0, 0, 1] -> 
  (5760*ln2*s6 + 960*s7a + 4320*s7b - 13440*li5half*z2 - 
    6720*li4half*ln2*z2 - 168*ln2^5*z2 + 168*ln2^3*z2^2 - 660*ln2*z2^3 + 
    3360*li4half*z3 + 140*ln2^4*z3 - 2100*ln2^2*z2*z3 - 1515*z2^2*z3 - 
    5100*ln2*z3^2 - 12810*ln2^2*z5 + 16500*z2*z5 - 5370*z7)/6720, 
 H[-1, 1, 1, -1, 0, 0, -1, 1] -> (645120*li7half + 483840*li6half*ln2 + 
    161280*li5half*ln2^2 + 26880*li4half*ln2^3 + 320*ln2^7 - 100800*ln2*s6 + 
    241920*s7a + 80640*s7b - 201600*li5half*z2 - 161280*li4half*ln2*z2 - 
    5712*ln2^5*z2 + 21840*ln2^3*z2^2 + 27840*ln2*z2^3 + 80640*li4half*z3 + 
    5880*ln2^4*z3 - 68040*ln2^2*z2*z3 - 50148*z2^2*z3 + 89460*ln2*z3^2 + 
    20160*ln2^2*z5 - 74970*z2*z5 + 47565*z7)/80640, 
 H[-1, 1, 1, -1, 0, -1, 1, 1] -> (-725760*li7half - 1209600*li6half*ln2 - 
    383040*li5half*ln2^2 - 26880*li4half*ln2^3 + 536*ln2^7 - 601920*ln2*s6 - 
    103680*s7a + 138240*s7b + 383040*li5half*z2 + 80640*li4half*ln2*z2 - 
    5376*ln2^5*z2 + 63000*ln2^3*z2^2 + 132192*ln2*z2^3 - 141120*li4half*z3 - 
    3150*ln2^4*z3 - 34020*ln2^2*z2*z3 + 12042*z2^2*z3 + 112950*ln2*z3^2 + 
    337995*ln2^2*z5 - 985995*z2*z5 + 1693170*z7)/40320, 
 H[-1, 1, 1, -1, 0, -1, 0, 1] -> (-1935360*li7half + 322560*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 2176*ln2^7 + 910080*ln2*s6 - 506880*s7a + 
    218880*s7b - 241920*li5half*z2 - 6048*ln2^5*z2 - 57120*ln2^3*z2^2 - 
    247200*ln2*z2^3 - 80640*li4half*z3 + 10080*ln2^4*z3 + 55440*ln2^2*z2*z3 + 
    4104*z2^2*z3 - 716760*ln2*z3^2 - 1353240*ln2^2*z5 + 346140*z2*z5 + 
    1306665*z7)/161280, H[-1, 1, 1, -1, 0, -1, -1, 1] -> 
  (645120*li7half + 645120*li6half*ln2 + 161280*li5half*ln2^2 - 576*ln2^7 + 
    161280*ln2*s6 + 564480*s7a - 241920*s7b + 2688*ln2^5*z2 - 
    21504*ln2^3*z2^2 - 62112*ln2*z2^3 + 201600*li4half*z3 + 8960*ln2^4*z3 - 
    53760*ln2^2*z2*z3 - 28896*z2^2*z3 + 286440*ln2*z3^2 + 322560*ln2^2*z5 + 
    882000*z2*z5 - 1622565*z7)/107520, H[-1, 1, 1, -1, -1, 1, 1, 1] -> 
  (32*ln2^7 - 672*ln2^5*z2 - 3360*ln2^3*z2^2 + 4896*ln2*z2^3 + 
    5880*ln2^4*z3 + 5040*ln2^2*z2*z3 + 10584*z2^2*z3 - 18900*ln2*z3^2 - 
    3780*ln2^2*z5 + 3780*z2*z5 - 37485*z7)/161280, 
 H[-1, 1, 1, -1, -1, 1, 0, 1] -> (4193280*li7half + 2580480*li6half*ln2 + 
    645120*li5half*ln2^2 + 107520*li4half*ln2^3 + 1856*ln2^7 + 
    679680*ln2*s6 + 1094400*s7a - 1486080*s7b - 645120*li5half*z2 - 
    322560*li4half*ln2*z2 - 16128*ln2^5*z2 + 29568*ln2^3*z2^2 - 
    180576*ln2*z2^3 + 564480*li4half*z3 + 45360*ln2^4*z3 - 
    201600*ln2^2*z2*z3 + 92592*z2^2*z3 + 1196640*ln2*z3^2 + 
    1479240*ln2^2*z5 + 5459040*z2*z5 - 11444355*z7)/322560, 
 H[-1, 1, 1, -1, -1, 1, -1, 1] -> (967680*li7half + 967680*li6half*ln2 + 
    483840*li5half*ln2^2 + 161280*li4half*ln2^3 + 3776*ln2^7 + 
    587520*ln2*s6 + 380160*s7a - 587520*s7b - 483840*li5half*z2 - 
    483840*li4half*ln2*z2 - 30912*ln2^5*z2 + 87360*ln2^3*z2^2 - 
    112608*ln2*z2^3 + 846720*li4half*z3 + 58800*ln2^4*z3 - 
    433440*ln2^2*z2*z3 - 283680*z2^2*z3 + 943920*ln2*z3^2 + 7560*ln2^2*z5 + 
    2685960*z2*z5 - 4142205*z7)/322560, H[-1, 1, 1, -1, -1, 0, 1, 1] -> 
  (2150400*li7half + 1182720*li6half*ln2 + 215040*li5half*ln2^2 - 576*ln2^7 + 
    84480*ln2*s6 + 372480*s7a - 487680*s7b - 215040*li5half*z2 + 
    4928*ln2^5*z2 - 26432*ln2^3*z2^2 - 21216*ln2*z2^3 - 2800*ln2^4*z3 + 
    63840*ln2^2*z2*z3 + 158016*z2^2*z3 + 229560*ln2*z3^2 + 761880*ln2^2*z5 + 
    1525800*z2*z5 - 4227765*z7)/107520, H[-1, 1, 1, -1, -1, 0, 0, 1] -> 
  (-4515840*li7half - 2580480*li6half*ln2 - 645120*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 1792*ln2^7 - 645120*ln2*s6 - 1128960*s7a + 
    2016000*s7b + 8064*ln2^5*z2 - 25536*ln2^3*z2^2 + 205920*ln2*z2^3 + 
    80640*li4half*z3 - 10080*ln2^4*z3 + 50400*ln2^2*z2*z3 - 567504*z2^2*z3 - 
    1060920*ln2*z3^2 - 2275560*ln2^2*z5 - 6093360*z2*z5 + 14288085*z7)/
   322560, H[-1, 1, 1, -1, -1, 0, -1, 1] -> 
  (-107520*li7half + 537600*li6half*ln2 + 215040*li5half*ln2^2 - 1024*ln2^7 + 
    119040*ln2*s6 - 307200*s7a + 526080*s7b - 215040*li5half*z2 + 
    8512*ln2^5*z2 - 47488*ln2^3*z2^2 + 12768*ln2*z2^3 - 201600*li4half*z3 - 
    21280*ln2^4*z3 + 151200*ln2^2*z2*z3 - 26928*z2^2*z3 - 625080*ln2*z3^2 - 
    866040*ln2^2*z5 - 1515120*z2*z5 + 2773965*z7)/107520, 
 H[-1, 1, 1, -1, -1, -1, 1, 1] -> (-1290240*li7half - 967680*li6half*ln2 - 
    322560*li5half*ln2^2 - 53760*li4half*ln2^3 - 704*ln2^7 - 599040*ln2*s6 - 
    368640*s7a + 518400*s7b + 322560*li5half*z2 + 161280*li4half*ln2*z2 + 
    6720*ln2^5*z2 - 6720*ln2^3*z2^2 + 50784*ln2*z2^3 - 282240*li4half*z3 - 
    23520*ln2^4*z3 + 60480*ln2^2*z2*z3 + 8208*z2^2*z3 - 322200*ln2*z3^2 + 
    163800*ln2^2*z5 - 2573640*z2*z5 + 4771395*z7)/322560, 
 H[-1, 1, 1, -1, -1, -1, 0, 1] -> (-3225600*li7half - 1612800*li6half*ln2 - 
    161280*li5half*ln2^2 + 53760*li4half*ln2^3 + 1984*ln2^7 + 126720*ln2*s6 - 
    691200*s7a + 679680*s7b + 322560*li5half*z2 - 10752*ln2^5*z2 + 
    24192*ln2^3*z2^2 + 39456*ln2*z2^3 - 40320*li4half*z3 + 11760*ln2^4*z3 - 
    70560*ln2^2*z2*z3 - 196416*z2^2*z3 - 511200*ln2*z3^2 - 1479240*ln2^2*z5 - 
    1802520*z2*z5 + 5357295*z7)/322560, H[-1, 1, 1, -1, -1, -1, -1, 1] -> 
  (161280*li7half + 107520*li6half*ln2 + 26880*li5half*ln2^2 - 96*ln2^7 - 
    24960*ln2*s6 + 51840*s7a + 38400*s7b - 26880*li5half*z2 + 672*ln2^5*z2 - 
    3360*ln2^3*z2^2 + 13376*ln2*z2^3 + 13440*ln2^2*z2*z3 - 7008*z2^2*z3 - 
    22560*ln2*z3^2 - 27300*ln2^2*z5 - 85500*z2*z5 + 77415*z7)/53760, 
 H[-1, 1, 0, 1, 1, 1, 1, 1] -> (-387072*li7half - 322560*li6half*ln2 - 
    129024*li5half*ln2^2 - 32256*li4half*ln2^3 - 640*ln2^7 + 80640*ln2*s6 - 
    80640*s7a - 80640*s7b + 129024*li5half*z2 + 96768*li4half*ln2*z2 + 
    5376*ln2^5*z2 - 13440*ln2^3*z2^2 - 14112*ln2*z2^3 - 169344*li4half*z3 - 
    11760*ln2^4*z3 + 70560*ln2^2*z2*z3 + 129024*z2^2*z3 - 100800*ln2*z3^2 - 
    32256*ln2^2*z5 + 269136*z2*z5 - 530145*z7)/64512, 
 H[-1, 1, 0, 1, 1, 1, 0, 1] -> (-15360*ln2*s6 - 3840*s7a + 34560*s7b - 
    15360*li5half*z2 - 11520*li4half*ln2*z2 - 352*ln2^5*z2 + 
    1600*ln2^3*z2^2 + 7712*ln2*z2^3 + 23040*li4half*z3 + 960*ln2^4*z3 - 
    12960*ln2^2*z2*z3 - 23520*z2^2*z3 + 2280*ln2*z3^2 - 25680*ln2^2*z5 - 
    98880*z2*z5 + 216825*z7)/7680, H[-1, 1, 0, 1, 1, 1, -1, 1] -> 
  (1935360*li7half + 414720*li6half*ln2 + 46080*li5half*ln2^2 + 
    30720*li4half*ln2^3 + 1088*ln2^7 - 311040*ln2*s6 + 207360*s7a - 
    218880*s7b - 46080*li5half*z2 - 92160*li4half*ln2*z2 - 13632*ln2^5*z2 + 
    66048*ln2^3*z2^2 + 202464*ln2*z2^3 + 46080*li4half*z3 + 5280*ln2^4*z3 - 
    51840*ln2^2*z2*z3 + 39600*z2^2*z3 + 328320*ln2*z3^2 + 413640*ln2^2*z5 + 
    655560*z2*z5 - 2823705*z7)/46080, H[-1, 1, 0, 1, 1, 0, 1, 1] -> 
  (-222720*ln2*s6 + 222720*s7a - 180480*s7b - 430080*li5half*z2 - 
    322560*li4half*ln2*z2 - 9856*ln2^5*z2 + 44800*ln2^3*z2^2 - 
    117024*ln2*z2^3 + 201600*li4half*z3 + 8400*ln2^4*z3 - 36960*ln2^2*z2*z3 - 
    26400*z2^2*z3 + 281760*ln2*z3^2 + 539280*ln2^2*z5 + 530160*z2*z5 - 
    34245*z7)/107520, H[-1, 1, 0, 1, 1, 0, 0, 1] -> 
  (11520*ln2*s6 - 65280*s7a + 42240*s7b + 23168*ln2*z2^3 - 
    120960*li4half*z3 - 5040*ln2^4*z3 + 3360*ln2^2*z2*z3 + 108816*z2^2*z3 - 
    123600*ln2*z3^2 - 90720*ln2^2*z5 - 66540*z2*z5 - 168345*z7)/53760, 
 H[-1, 1, 0, 1, 1, 0, -1, 1] -> (-326400*ln2*s6 + 326400*s7a + 326400*s7b - 
    215040*li5half*z2 - 161280*li4half*ln2*z2 - 4928*ln2^5*z2 + 
    22400*ln2^3*z2^2 + 50400*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 
    57120*ln2^2*z2*z3 - 88464*z2^2*z3 - 42240*ln2*z3^2 - 44520*ln2^2*z5 - 
    846240*z2*z5 + 2083455*z7)/107520, H[-1, 1, 0, 1, 1, -1, 1, 1] -> 
  (-11289600*li7half - 967680*li6half*ln2 + 322560*li5half*ln2^2 - 
    1792*ln2^7 + 2062080*ln2*s6 - 2223360*s7a + 2776320*s7b - 
    322560*li5half*z2 + 43008*ln2^5*z2 - 423360*ln2^3*z2^2 - 
    958560*ln2*z2^3 + 11760*ln2^4*z3 + 70560*ln2^2*z2*z3 - 819360*z2^2*z3 - 
    2648160*ln2*z3^2 - 4867800*ln2^2*z5 - 8287320*z2*z5 + 24738615*z7)/
   107520, H[-1, 1, 0, 1, 1, -1, 0, 1] -> 
  (10321920*li7half + 2580480*li6half*ln2 + 215040*li5half*ln2^2 - 
    256*ln2^7 - 1163520*ln2*s6 + 2023680*s7a - 2653440*s7b + 
    215040*li5half*z2 + 53760*li4half*ln2*z2 + 7616*ln2^5*z2 + 
    218176*ln2^3*z2^2 + 594848*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 
    10080*ln2^2*z2*z3 + 848880*z2^2*z3 + 2044080*ln2*z3^2 + 
    4447800*ln2^2*z5 + 8043120*z2*z5 - 23420265*z7)/107520, 
 H[-1, 1, 0, 1, 1, -1, -1, 1] -> (2943360*li7half + 201600*li6half*ln2 - 
    161280*li5half*ln2^2 - 20160*li4half*ln2^3 + 200*ln2^7 - 604800*ln2*s6 + 
    685440*s7a - 705600*s7b + 80640*li5half*z2 + 60480*li4half*ln2*z2 - 
    8568*ln2^5*z2 + 89712*ln2^3*z2^2 + 233712*ln2*z2^3 - 30240*li4half*z3 - 
    5670*ln2^4*z3 + 30240*ln2^2*z2*z3 + 223398*z2^2*z3 + 665595*ln2*z3^2 + 
    1405530*ln2^2*z5 + 2028915*z2*z5 - 6125805*z7)/40320, 
 H[-1, 1, 0, 1, 0, 1, 1, 1] -> (1290240*li7half + 967680*li6half*ln2 + 
    322560*li5half*ln2^2 + 53760*li4half*ln2^3 + 640*ln2^7 - 8640*ln2*s6 + 
    69120*s7a + 190080*s7b - 322560*li5half*z2 - 161280*li4half*ln2*z2 - 
    5376*ln2^5*z2 + 13440*ln2^3*z2^2 + 92448*ln2*z2^3 + 201600*li4half*z3 + 
    8400*ln2^4*z3 - 171360*ln2^2*z2*z3 - 101016*z2^2*z3 + 32220*ln2*z3^2 - 
    129780*ln2^2*z5 - 549540*z2*z5 + 203985*z7)/80640, 
 H[-1, 1, 0, 1, 0, 1, 0, 1] -> (38400*ln2*s6 + 69120*s7a - 145920*s7b + 
    107520*li5half*z2 + 53760*li4half*ln2*z2 + 1344*ln2^5*z2 - 
    4480*ln2^3*z2^2 - 37968*ln2*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 + 
    40320*ln2^2*z2*z3 + 55224*z2^2*z3 + 47760*ln2*z3^2 + 181440*ln2^2*z5 + 
    357240*z2*z5 - 743115*z7)/26880, H[-1, 1, 0, 1, 0, 1, -1, 1] -> 
  (-645120*li7half - 241920*li6half*ln2 - 80640*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 656*ln2^7 + 65520*ln2*s6 + 80640*li5half*z2 + 
    50400*li4half*ln2*z2 + 3780*ln2^5*z2 - 26796*ln2^3*z2^2 - 
    71244*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 6300*ln2^2*z2*z3 + 
    5796*z2^2*z3 - 34335*ln2*z3^2 + 71505*ln2^2*z5 - 71505*z2*z5 + 637245*z7)/
   20160, H[-1, 1, 0, 1, 0, 0, 1, 1] -> 
  (211200*ln2*s6 + 57600*s7a - 291840*s7b + 430080*li5half*z2 + 
    215040*li4half*ln2*z2 + 5376*ln2^5*z2 - 17920*ln2^3*z2^2 + 
    7168*ln2*z2^3 - 188160*li4half*z3 - 7840*ln2^4*z3 + 100800*ln2^2*z2*z3 + 
    145728*z2^2*z3 - 10320*ln2*z3^2 + 35280*ln2^2*z5 + 790080*z2*z5 - 
    2066985*z7)/53760, H[-1, 1, 0, 1, 0, 0, 0, 1] -> 
  (-38400*ln2*s6 - 69120*s7a + 145920*s7b + 48416*ln2*z2^3 + 
    80640*li4half*z3 + 3360*ln2^4*z3 - 20160*ln2^2*z2*z3 - 95376*z2^2*z3 - 
    25920*ln2*z3^2 - 154560*ln2^2*z5 - 506340*z2*z5 + 850635*z7)/26880, 
 H[-1, 1, 0, 1, 0, 0, -1, 1] -> (1920*ln2*s6 - 11520*s7a + 7680*s7b + 
    7680*li5half*z2 + 3840*li4half*ln2*z2 + 96*ln2^5*z2 - 320*ln2^3*z2^2 + 
    4568*ln2*z2^3 - 3360*li4half*z3 - 140*ln2^4*z3 + 720*ln2^2*z2*z3 - 
    1104*z2^2*z3 - 7260*ln2*z3^2 - 18930*ln2^2*z5 - 29640*z2*z5 + 29475*z7)/
   1920, H[-1, 1, 0, 1, 0, -1, 1, 1] -> 
  (-3870720*li7half - 5160960*li6half*ln2 - 1290240*li5half*ln2^2 + 
    4352*ln2^7 - 1336320*ln2*s6 - 1244160*s7a + 1578240*s7b + 
    1290240*li5half*z2 + 483840*li4half*ln2*z2 - 6720*ln2^5*z2 + 
    321216*ln2^3*z2^2 + 916128*ln2*z2^3 - 524160*li4half*z3 - 
    68880*ln2^4*z3 + 171360*ln2^2*z2*z3 - 192672*z2^2*z3 - 779040*ln2*z3^2 - 
    3152520*ln2^2*z5 - 4305960*z2*z5 + 8126595*z7)/322560, 
 H[-1, 1, 0, 1, 0, -1, 0, 1] -> (-38400*ln2*s6 + 38400*s7a + 38400*s7b - 
    107520*li5half*z2 - 53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 
    4480*ln2^3*z2^2 - 11280*ln2*z2^3 + 147840*li4half*z3 + 6160*ln2^4*z3 - 
    40320*ln2^2*z2*z3 - 80760*z2^2*z3 + 93360*ln2*z3^2 + 26880*ln2^2*z5 - 
    138840*z2*z5 + 503085*z7)/26880, H[-1, 1, 0, 1, 0, -1, -1, 1] -> 
  (4515840*li7half + 2580480*li6half*ln2 + 645120*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 1792*ln2^7 + 345600*ln2*s6 + 299520*s7a - 
    1071360*s7b - 322560*li5half*z2 - 322560*li4half*ln2*z2 - 
    18816*ln2^5*z2 + 53760*ln2^3*z2^2 + 93600*ln2*z2^3 + 141120*li4half*z3 + 
    29400*ln2^4*z3 - 211680*ln2^2*z2*z3 + 232920*z2^2*z3 + 722160*ln2*z3^2 + 
    1146600*ln2^2*z5 + 3449520*z2*z5 - 9813465*z7)/161280, 
 H[-1, 1, 0, 1, -1, 1, 1, 1] -> (11612160*li7half + 1290240*li6half*ln2 + 
    107520*li5half*ln2^2 + 107520*li4half*ln2^3 + 3072*ln2^7 - 
    2430720*ln2*s6 + 2511360*s7a - 2784000*s7b - 107520*li5half*z2 - 
    322560*li4half*ln2*z2 - 49280*ln2^5*z2 + 478912*ln2^3*z2^2 + 
    898848*ln2*z2^3 + 564480*li4half*z3 + 23520*ln2^4*z3 - 
    282240*ln2^2*z2*z3 + 616944*z2^2*z3 + 3073680*ln2*z3^2 + 
    5418000*ln2^2*z5 + 8055360*z2*z5 - 23729865*z7)/107520, 
 H[-1, 1, 0, 1, -1, 1, 0, 1] -> (-322560*li7half - 80640*li6half*ln2 - 
    6720*li5half*ln2^2 + 8*ln2^7 + 34320*ln2*s6 - 69600*s7a + 88320*s7b + 
    2520*li4half*ln2*z2 - 119*ln2^5*z2 - 6048*ln2^3*z2^2 - 15985*ln2*z2^3 - 
    5040*li4half*z3 - 210*ln2^4*z3 + 2100*ln2^2*z2*z3 - 23670*z2^2*z3 - 
    73560*ln2*z3^2 - 148995*ln2^2*z5 - 261960*z2*z5 + 731100*z7)/1680, 
 H[-1, 1, 0, 1, -1, 1, -1, 1] -> (-1290240*li7half - 161280*li6half*ln2 - 
    5040*li4half*ln2^3 - 178*ln2^7 + 224640*ln2*s6 - 264960*s7a + 
    339840*s7b + 15120*li4half*ln2*z2 + 4914*ln2^5*z2 - 47418*ln2^3*z2^2 - 
    85950*ln2*z2^3 - 7560*li4half*z3 - 315*ln2^4*z3 + 3780*ln2^2*z2*z3 - 
    95499*z2^2*z3 - 311670*ln2*z3^2 - 590940*ln2^2*z5 - 1012140*z2*z5 + 
    2867490*z7)/10080, H[-1, 1, 0, 1, -1, 0, 1, 1] -> 
  (10321920*li7half + 5160960*li6half*ln2 + 860160*li5half*ln2^2 - 
    2048*ln2^7 + 1052160*ln2*s6 + 2173440*s7a - 3444480*s7b + 
    860160*li5half*z2 + 752640*li4half*ln2*z2 + 31360*ln2^5*z2 - 
    136640*ln2^3*z2^2 + 70368*ln2*z2^3 - 470400*li4half*z3 - 19600*ln2^4*z3 + 
    292320*ln2^2*z2*z3 + 1131744*z2^2*z3 + 1550880*ln2*z3^2 + 
    4069800*ln2^2*z5 + 10019880*z2*z5 - 27664605*z7)/107520, 
 H[-1, 1, 0, 1, -1, 0, 0, 1] -> (-26880*ln2*s6 - 26880*s7a + 53760*s7b + 
    107520*li5half*z2 + 26880*li4half*ln2*z2 + 224*ln2^5*z2 - 
    12880*ln2^3*z2^2 + 53848*ln2*z2^3 + 16800*li4half*z3 + 700*ln2^4*z3 - 
    9240*ln2^2*z2*z3 - 27132*z2^2*z3 - 9660*ln2*z3^2 - 48930*ln2^2*z5 - 
    296100*z2*z5 + 302925*z7)/13440, H[-1, 1, 0, 1, -1, 0, -1, 1] -> 
  (-2580480*li7half - 967680*li6half*ln2 - 161280*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 608*ln2^7 + 86400*ln2*s6 - 610560*s7a + 
    760320*s7b + 322560*li5half*z2 + 151200*li4half*ln2*z2 + 6300*ln2^5*z2 - 
    45192*ln2^3*z2^2 + 612*ln2*z2^3 - 75600*li4half*z3 - 3150*ln2^4*z3 + 
    21420*ln2^2*z2*z3 - 190746*z2^2*z3 - 566010*ln2*z3^2 - 1168335*ln2^2*z5 - 
    2590335*z2*z5 + 6096915*z7)/20160, H[-1, 1, 0, 1, -1, -1, 1, 1] -> 
  (-322560*li7half + 645120*li6half*ln2 + 215040*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 3072*ln2^7 + 702720*ln2*s6 - 57600*s7a + 
    103680*s7b - 215040*li5half*z2 + 18368*ln2^5*z2 - 83776*ln2^3*z2^2 - 
    99360*ln2*z2^3 + 40320*li4half*z3 - 10080*ln2^4*z3 + 60480*ln2^2*z2*z3 - 
    51984*z2^2*z3 - 349200*ln2*z3^2 - 887040*ln2^2*z5 + 421200*z2*z5 - 
    29025*z7)/107520, H[-1, 1, 0, 1, -1, -1, 0, 1] -> 
  (1290240*li7half + 322560*li6half*ln2 + 26880*li5half*ln2^2 - 32*ln2^7 - 
    162240*ln2*s6 + 283200*s7a - 355200*s7b - 33600*li4half*ln2*z2 - 
    504*ln2^5*z2 + 32592*ln2^3*z2^2 + 63536*ln2*z2^3 + 31920*li4half*z3 + 
    1330*ln2^4*z3 - 17640*ln2^2*z2*z3 + 86790*z2^2*z3 + 326070*ln2*z3^2 + 
    612570*ln2^2*z5 + 1011480*z2*z5 - 2845305*z7)/13440, 
 H[-1, 1, 0, 1, -1, -1, -1, 1] -> (6128640*li7half - 645120*li6half*ln2 - 
    322560*li5half*ln2^2 + 107520*li4half*ln2^3 + 5056*ln2^7 - 
    1601280*ln2*s6 - 11520*s7a - 979200*s7b + 645120*li5half*z2 + 
    161280*li4half*ln2*z2 - 53760*ln2^5*z2 + 341376*ln2^3*z2^2 + 
    965088*ln2*z2^3 - 80640*li4half*z3 + 31920*ln2^4*z3 - 
    262080*ln2^2*z2*z3 + 290592*z2^2*z3 + 1348920*ln2*z3^2 + 
    1879920*ln2^2*z5 + 2120400*z2*z5 - 11070495*z7)/322560, 
 H[-1, 1, 0, 0, 1, 1, 1, 1] -> (-967680*li7half - 645120*li6half*ln2 - 
    161280*li5half*ln2^2 + 640*ln2^7 - 92160*ln2*s6 + 51840*s7a + 11520*s7b + 
    161280*li5half*z2 - 5376*ln2^5*z2 + 13440*ln2^3*z2^2 - 47328*ln2*z2^3 + 
    11760*ln2^4*z3 + 10080*ln2^2*z2*z3 - 189792*z2^2*z3 + 100080*ln2*z3^2 - 
    5040*ln2^2*z5 + 11520*z2*z5 + 1328805*z7)/161280, 
 H[-1, 1, 0, 0, 1, 1, 0, 1] -> (19200*ln2*s6 - 72960*s7a + 34560*s7b - 
    53760*li5half*z2 + 448*ln2^5*z2 - 4480*ln2^3*z2^2 + 8544*ln2*z2^3 + 
    23520*ln2^2*z2*z3 + 56928*z2^2*z3 - 76920*ln2*z3^2 - 90720*ln2^2*z5 - 
    65820*z2*z5 - 72885*z7)/53760, H[-1, 1, 0, 0, 1, 1, -1, 1] -> 
  (107520*li7half + 215040*li6half*ln2 + 53760*li5half*ln2^2 + 
    17920*li4half*ln2^3 + 576*ln2^7 + 61440*ln2*s6 + 32640*s7a - 7680*s7b - 
    53760*li5half*z2 - 53760*li4half*ln2*z2 - 5824*ln2^5*z2 + 
    6272*ln2^3*z2^2 - 256*ln2*z2^3 + 26880*li4half*z3 - 2800*ln2^4*z3 - 
    21840*ln2^2*z2*z3 + 6912*z2^2*z3 - 48240*ln2*z3^2 - 24360*ln2^2*z5 + 
    87240*z2*z5 - 179325*z7)/53760, H[-1, 1, 0, 0, 1, 0, 1, 1] -> 
  (-11520*ln2*s6 - 22080*s7a + 35040*s7b - 13440*li5half*z2 + 112*ln2^5*z2 - 
    1120*ln2^3*z2^2 + 5212*ln2*z2^3 - 4200*ln2^2*z2*z3 - 11250*z2^2*z3 - 
    16050*ln2*z3^2 - 27090*ln2^2*z5 - 100305*z2*z5 + 186825*z7)/6720, 
 H[-1, 1, 0, 0, 1, 0, 0, 1] -> (1920*ln2*s6 + 11520*s7a - 15360*s7b - 
    4856*ln2*z2^3 + 930*z2^2*z3 + 9990*ln2*z3^2 + 19320*ln2^2*z5 + 
    50895*z2*z5 - 63495*z7)/2240, H[-1, 1, 0, 0, 1, 0, -1, 1] -> 
  (119040*ln2*s6 + 15360*s7a - 253440*s7b - 26880*li5half*z2 + 224*ln2^5*z2 - 
    2240*ln2^3*z2^2 - 80416*ln2*z2^3 + 15120*ln2^2*z2*z3 + 56400*z2^2*z3 + 
    114120*ln2*z3^2 + 251580*ln2^2*z5 + 827010*z2*z5 - 1369335*z7)/26880, 
 H[-1, 1, 0, 0, 1, -1, 1, 1] -> (322560*li7half + 26880*li5half*ln2^2 - 
    288*ln2^7 - 101760*ln2*s6 - 32640*s7a + 7680*s7b - 26880*li5half*z2 + 
    3808*ln2^5*z2 + 6832*ln2^3*z2^2 + 55216*ln2*z2^3 + 26880*ln2^2*z2*z3 + 
    7200*z2^2*z3 + 6240*ln2*z3^2 - 5670*ln2^2*z5 - 57210*z2*z5 - 245505*z7)/
   26880, H[-1, 1, 0, 0, 1, -1, 0, 1] -> 
  (-15360*ln2*s6 + 96000*s7a - 92160*s7b + 13440*li5half*z2 - 112*ln2^5*z2 + 
    16240*ln2^3*z2^2 - 43920*ln2*z2^3 + 17424*z2^2*z3 + 89760*ln2*z3^2 + 
    146370*ln2^2*z5 + 279855*z2*z5 - 388110*z7)/13440, 
 H[-1, 1, 0, 0, 1, -1, -1, 1] -> (645120*li7half - 80640*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 1664*ln2^7 + 74880*ln2*s6 + 126720*s7a - 
    599040*s7b - 161280*li5half*z2 - 80640*li4half*ln2*z2 - 12768*ln2^5*z2 + 
    36960*ln2^3*z2^2 - 104592*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 - 
    37800*ln2^2*z2*z3 + 127368*z2^2*z3 + 401580*ln2*z3^2 + 798210*ln2^2*z5 + 
    2019240*z2*z5 - 3764025*z7)/80640, H[-1, 1, 0, 0, 0, 1, 1, 1] -> 
  (69120*ln2*s6 + 65280*s7a - 149760*s7b - 30752*ln2*z2^3 + 
    26880*ln2^2*z2*z3 + 42384*z2^2*z3 + 35400*ln2*z3^2 + 102480*ln2^2*z5 + 
    552480*z2*z5 - 919875*z7)/53760, H[-1, 1, 0, 0, 0, 1, 0, 1] -> 
  (-38400*ln2*s6 - 69120*s7a + 145920*s7b + 33184*ln2*z2^3 - 14232*z2^2*z3 - 
    61200*ln2*z3^2 - 154560*ln2^2*z5 - 474840*z2*z5 + 662475*z7)/26880, 
 H[-1, 1, 0, 0, 0, 1, -1, 1] -> (-18240*ln2*s6 - 69120*s7a + 145920*s7b - 
    5040*ln2^3*z2^2 + 53000*ln2*z2^3 - 17640*ln2^2*z2*z3 - 35064*z2^2*z3 - 
    89970*ln2*z3^2 - 194880*ln2^2*z5 - 448800*z2*z5 + 715185*z7)/13440, 
 H[-1, 1, 0, 0, 0, 0, 1, 1] -> (-160*s7b - 28*ln2*z2^3 + 45*ln2*z3^2 + 
    230*ln2^2*z5 + 80*z2*z5)/160, H[-1, 1, 0, 0, 0, 0, 0, 1] -> 
  (248*ln2*z2^3 + 294*z2^2*z3 + 525*z2*z5 - 3360*z7)/1120, 
 H[-1, 1, 0, 0, 0, 0, -1, 1] -> (28*ln2*z2^3 - 41*z2^2*z3 - 45*ln2*z3^2 - 
    75*ln2^2*z5 - 85*z2*z5 + 315*z7)/160, H[-1, 1, 0, 0, 0, -1, 1, 1] -> 
  (-17280*ln2*s6 + 71040*s7a - 110400*s7b + 5040*ln2^3*z2^2 - 
    44944*ln2*z2^3 + 20160*ln2^2*z2*z3 + 25860*z2^2*z3 + 74940*ln2*z3^2 + 
    189210*ln2^2*z5 + 316530*z2*z5 - 481065*z7)/13440, 
 H[-1, 1, 0, 0, 0, -1, 0, 1] -> (-38400*ln2*s6 - 69120*s7a + 145920*s7b + 
    35552*ln2*z2^3 - 16248*z2^2*z3 - 66240*ln2*z3^2 - 157920*ln2^2*z5 - 
    395880*z2*z5 + 536265*z7)/26880, H[-1, 1, 0, 0, 0, -1, -1, 1] -> 
  (-8640*ln2*s6 + 8640*s7a + 25440*s7b + 7892*ln2*z2^3 - 1680*ln2^2*z2*z3 - 
    5928*z2^2*z3 - 12930*ln2*z3^2 - 29505*ln2^2*z5 - 78300*z2*z5 + 144555*z7)/
   6720, H[-1, 1, 0, 0, -1, 1, 1, 1] -> 
  (1290240*li7half + 1935360*li6half*ln2 - 107520*li4half*ln2^3 - 
    2048*ln2^7 + 1532160*ln2*s6 + 967680*s7a - 1370880*s7b + 
    322560*li4half*ln2*z2 + 5376*ln2^5*z2 - 173376*ln2^3*z2^2 - 
    642912*ln2*z2^3 - 564480*li4half*z3 - 23520*ln2^4*z3 + 
    161280*ln2^2*z2*z3 + 367920*z2^2*z3 + 337680*ln2*z3^2 + 
    1181880*ln2^2*z5 + 5183640*z2*z5 - 8759835*z7)/322560, 
 H[-1, 1, 0, 0, -1, 1, 0, 1] -> (2560*ln2*s6 - 16000*s7a + 15360*s7b - 
    2520*ln2^3*z2^2 + 8028*ln2*z2^3 - 1784*z2^2*z3 - 14960*ln2*z3^2 - 
    25515*ln2^2*z5 - 50440*z2*z5 + 63565*z7)/2240, 
 H[-1, 1, 0, 0, -1, 1, -1, 1] -> (-40320*li6half*ln2 - 56*ln2^7 - 
    41040*ln2*s6 - 21120*s7a + 46080*s7b + 840*ln2^5*z2 + 2268*ln2^3*z2^2 + 
    21416*ln2*z2^3 + 8400*ln2^2*z2*z3 - 9888*z2^2*z3 - 22830*ln2*z3^2 - 
    58800*ln2^2*z5 - 143760*z2*z5 + 225975*z7)/6720, 
 H[-1, 1, 0, 0, -1, 0, 1, 1] -> (-65280*ln2*s6 - 69120*s7a + 132480*s7b + 
    31664*ln2*z2^3 - 30240*ln2^2*z2*z3 - 34056*z2^2*z3 - 43560*ln2*z3^2 - 
    73920*ln2^2*z5 - 504240*z2*z5 + 818505*z7)/26880, 
 H[-1, 1, 0, 0, -1, 0, 0, 1] -> (3840*ln2*s6 + 23040*s7a - 30720*s7b - 
    9056*ln2*z2^3 + 5724*z2^2*z3 + 17460*ln2*z3^2 + 39480*ln2^2*z5 + 
    103750*z2*z5 - 143125*z7)/4480, H[-1, 1, 0, 0, -1, 0, -1, 1] -> 
  (88320*ln2*s6 + 46080*s7a - 222720*s7b - 65936*ln2*z2^3 + 
    8400*ln2^2*z2*z3 + 55632*z2^2*z3 + 108840*ln2*z3^2 + 243180*ln2^2*z5 + 
    686160*z2*z5 - 1163175*z7)/26880, H[-1, 1, 0, 0, -1, -1, 1, 1] -> 
  (-1505280*li7half + 215040*li6half*ln2 - 35840*li4half*ln2^3 - 896*ln2^7 + 
    272640*ln2*s6 - 245760*s7a + 480000*s7b - 1792*ln2^5*z2 - 
    76608*ln2^3*z2^2 - 183904*ln2*z2^3 + 26880*li4half*z3 + 8960*ln2^4*z3 - 
    127680*ln2^2*z2*z3 - 176976*z2^2*z3 - 292080*ln2*z3^2 - 341880*ln2^2*z5 - 
    1793880*z2*z5 + 4571235*z7)/107520, H[-1, 1, 0, 0, -1, -1, 0, 1] -> 
  (17280*ln2*s6 + 9600*s7a - 44160*s7b - 13152*ln2*z2^3 - 47040*li4half*z3 - 
    1960*ln2^4*z3 + 23520*ln2^2*z2*z3 + 38400*z2^2*z3 - 21600*ln2*z3^2 + 
    32760*ln2^2*z5 + 209520*z2*z5 - 384345*z7)/26880, 
 H[-1, 1, 0, 0, -1, -1, -1, 1] -> (-967680*li7half - 322560*li6half*ln2 - 
    256*ln2^7 + 236160*ln2*s6 + 126720*s7a - 195840*s7b + 161280*li5half*z2 + 
    161280*li4half*ln2*z2 + 8064*ln2^5*z2 - 26880*ln2^3*z2^2 - 
    166368*ln2*z2^3 - 80640*li4half*z3 - 15120*ln2^4*z3 + 
    131040*ln2^2*z2*z3 + 79488*z2^2*z3 - 50760*ln2*z3^2 + 5040*ln2^2*z5 + 
    502200*z2*z5 - 71595*z7)/161280, H[-1, 1, 0, -1, 1, 1, 1, 1] -> 
  (-2903040*li7half + 215040*li6half*ln2 + 53760*li5half*ln2^2 - 
    17920*li4half*ln2^3 - 320*ln2^7 + 910080*ln2*s6 - 399360*s7a + 
    595200*s7b - 53760*li5half*z2 + 53760*li4half*ln2*z2 + 8512*ln2^5*z2 - 
    137984*ln2^3*z2^2 - 350880*ln2*z2^3 - 94080*li4half*z3 + 7840*ln2^4*z3 - 
    251088*z2^2*z3 - 678960*ln2*z3^2 - 1352400*ln2^2*z5 - 1390560*z2*z5 + 
    5526825*z7)/107520, H[-1, 1, 0, -1, 1, 1, 0, 1] -> 
  (10321920*li7half + 2580480*li6half*ln2 + 215040*li5half*ln2^2 - 
    256*ln2^7 - 825600*ln2*s6 + 2062080*s7a - 3045120*s7b + 
    161280*li5half*z2 + 107520*li4half*ln2*z2 + 10304*ln2^5*z2 + 
    119616*ln2^3*z2^2 + 450272*ln2*z2^3 - 215040*li4half*z3 - 8960*ln2^4*z3 + 
    120960*ln2^2*z2*z3 + 1078080*z2^2*z3 + 2074440*ln2*z3^2 + 
    4864440*ln2^2*z5 + 8816520*z2*z5 - 24987885*z7)/107520, 
 H[-1, 1, 0, -1, 1, 1, -1, 1] -> (-120960*li7half - 80640*li6half*ln2 + 
    6720*li5half*ln2^2 - 144*ln2^7 - 12000*ln2*s6 - 21600*s7a + 28800*s7b - 
    6720*li5half*z2 + 1792*ln2^5*z2 + 784*ln2^3*z2^2 + 696*ln2*z2^3 - 
    1470*ln2^4*z3 + 8820*ln2^2*z2*z3 - 3870*z2^2*z3 - 29835*ln2*z3^2 - 
    52290*ln2^2*z5 - 82710*z2*z5 + 247140*z7)/13440, 
 H[-1, 1, 0, -1, 1, 0, 1, 1] -> (-5160960*li7half - 2580480*li6half*ln2 - 
    430080*li5half*ln2^2 + 1024*ln2^7 - 466560*ln2*s6 - 1146240*s7a + 
    1582080*s7b - 268800*li5half*z2 - 215040*li4half*ln2*z2 - 
    10304*ln2^5*z2 + 41440*ln2^3*z2^2 - 71232*ln2*z2^3 + 134400*li4half*z3 + 
    5600*ln2^4*z3 - 30240*ln2^2*z2*z3 - 507264*z2^2*z3 - 806160*ln2*z3^2 - 
    1923180*ln2^2*z5 - 4687260*z2*z5 + 12979215*z7)/53760, 
 H[-1, 1, 0, -1, 1, 0, 0, 1] -> (26880*ln2*s6 + 26880*s7a - 53760*s7b - 
    107520*li5half*z2 - 26880*li4half*ln2*z2 - 224*ln2^5*z2 + 
    12880*ln2^3*z2^2 - 50888*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 
    840*ln2^2*z2*z3 + 2520*z2^2*z3 + 34860*ln2*z3^2 + 42210*ln2^2*z5 + 
    311220*z2*z5 - 284655*z7)/13440, H[-1, 1, 0, -1, 1, 0, -1, 1] -> 
  (5160960*li7half + 1935360*li6half*ln2 + 322560*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1216*ln2^7 - 11520*ln2*s6 + 1059840*s7a - 
    1681920*s7b - 584640*li5half*z2 - 241920*li4half*ln2*z2 - 
    10584*ln2^5*z2 + 80304*ln2^3*z2^2 - 26424*ln2*z2^3 + 120960*li4half*z3 + 
    5040*ln2^4*z3 + 2520*ln2^2*z2*z3 + 418536*z2^2*z3 + 1144620*ln2*z3^2 + 
    2311470*ln2^2*z5 + 5657895*z2*z5 - 13240890*z7)/40320, 
 H[-1, 1, 0, -1, 1, -1, 1, 1] -> (21611520*li7half + 2580480*li6half*ln2 - 
    241920*li5half*ln2^2 + 1312*ln2^7 - 3974400*ln2*s6 + 4619520*s7a - 
    6024960*s7b + 241920*li5half*z2 - 66528*ln2^5*z2 + 718368*ln2^3*z2^2 + 
    1271808*ln2*z2^3 - 30240*ln2^2*z2*z3 + 1742256*z2^2*z3 + 
    5461920*ln2*z3^2 + 11285820*ln2^2*z5 + 17056980*z2*z5 - 48544065*z7)/
   161280, H[-1, 1, 0, -1, 1, -1, 0, 1] -> 
  (-2580480*li7half - 645120*li6half*ln2 - 53760*li5half*ln2^2 + 64*ln2^7 + 
    274560*ln2*s6 - 556800*s7a + 706560*s7b - 20160*li5half*z2 - 
    1624*ln2^5*z2 - 45024*ln2^3*z2^2 - 122584*ln2*z2^3 + 3360*ln2^2*z2*z3 - 
    205152*z2^2*z3 - 568320*ln2*z3^2 - 1203720*ln2^2*z5 - 2046435*z2*z5 + 
    5799240*z7)/13440, H[-1, 1, 0, -1, 1, -1, -1, 1] -> 
  (-2741760*li7half - 322560*li6half*ln2 + 67200*li5half*ln2^2 + 
    13440*li4half*ln2^3 + 96*ln2^7 + 515520*ln2*s6 - 636480*s7a + 
    673920*s7b - 67200*li5half*z2 - 40320*li4half*ln2*z2 + 6496*ln2^5*z2 - 
    78176*ln2^3*z2^2 - 188064*ln2*z2^3 + 20160*li4half*z3 + 840*ln2^4*z3 + 
    12600*ln2^2*z2*z3 - 211896*z2^2*z3 - 635580*ln2*z3^2 - 1373190*ln2^2*z5 - 
    1916850*z2*z5 + 5753025*z7)/26880, H[-1, 1, 0, -1, 0, 1, 1, 1] -> 
  (5160960*li7half + 3870720*li6half*ln2 + 1290240*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 2560*ln2^7 + 933120*ln2*s6 + 518400*s7a - 
    1255680*s7b - 1290240*li5half*z2 - 645120*li4half*ln2*z2 - 
    21504*ln2^5*z2 + 53760*ln2^3*z2^2 - 119520*ln2*z2^3 - 161280*li4half*z3 - 
    6720*ln2^4*z3 - 70560*ln2^2*z2*z3 + 709776*z2^2*z3 - 52560*ln2*z3^2 + 
    831600*ln2^2*z5 + 4631040*z2*z5 - 11664045*z7)/322560, 
 H[-1, 1, 0, -1, 0, 1, 0, 1] -> (-176640*ln2*s6 + 176640*s7a + 176640*s7b + 
    107520*li5half*z2 + 53760*li4half*ln2*z2 + 1344*ln2^5*z2 - 
    4480*ln2^3*z2^2 + 35568*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 
    36960*ln2^2*z2*z3 - 104712*z2^2*z3 + 89760*ln2*z3^2 + 26880*ln2^2*z5 - 
    649080*z2*z5 + 1177965*z7)/26880, H[-1, 1, 0, -1, 0, 1, -1, 1] -> 
  (-645120*li7half - 241920*li6half*ln2 - 80640*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 656*ln2^7 - 90720*ln2*s6 + 322560*s7b + 
    80640*li5half*z2 - 40320*li4half*ln2*z2 - 336*ln2^3*z2^2 + 
    44568*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 - 119700*ln2^2*z2*z3 - 
    107604*z2^2*z3 - 92925*ln2*z3^2 - 208215*ln2^2*z5 - 1061865*z2*z5 + 
    2408175*z7)/20160, H[-1, 1, 0, -1, 0, 0, 1, 1] -> 
  (13440*ln2*s6 - 3840*s7a - 18240*s7b + 15360*li5half*z2 + 
    7680*li4half*ln2*z2 + 192*ln2^5*z2 - 640*ln2^3*z2^2 - 1432*ln2*z2^3 - 
    12480*li4half*z3 - 520*ln2^4*z3 + 5640*ln2^2*z2*z3 + 10212*z2^2*z3 - 
    3180*ln2*z3^2 + 4320*ln2^2*z5 + 43800*z2*z5 - 109875*z7)/1920, 
 H[-1, 1, 0, -1, 0, 0, 0, 1] -> (-38400*ln2*s6 - 69120*s7a + 145920*s7b + 
    50560*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 20160*ln2^2*z2*z3 - 
    60768*z2^2*z3 - 30960*ln2*z3^2 - 157920*ln2^2*z5 - 494580*z2*z5 + 
    721485*z7)/26880, H[-1, 1, 0, -1, 0, 0, -1, 1] -> 
  (28800*ln2*s6 - 96000*s7a + 38400*s7b + 53760*li5half*z2 + 
    26880*li4half*ln2*z2 + 672*ln2^5*z2 - 2240*ln2^3*z2^2 + 30280*ln2*z2^3 - 
    53760*li4half*z3 - 2240*ln2^4*z3 + 18480*ln2^2*z2*z3 + 11556*z2^2*z3 - 
    78420*ln2*z3^2 - 140910*ln2^2*z5 - 175800*z2*z5 + 123825*z7)/13440, 
 H[-1, 1, 0, -1, 0, -1, 1, 1] -> (-1935360*li7half - 2580480*li6half*ln2 - 
    645120*li5half*ln2^2 + 2176*ln2^7 + 184320*ln2*s6 - 829440*s7a - 
    1393920*s7b + 645120*li5half*z2 + 967680*li4half*ln2*z2 + 
    26880*ln2^5*z2 - 51072*ln2^3*z2^2 - 387360*ln2*z2^3 - 
    1048320*li4half*z3 - 67200*ln2^4*z3 + 1209600*ln2^2*z2*z3 + 
    890640*z2^2*z3 - 346320*ln2*z3^2 + 599760*ln2^2*z5 + 4059360*z2*z5 - 
    7515855*z7)/161280, H[-1, 1, 0, -1, 0, -1, 0, 1] -> 
  (-253440*ln2*s6 + 145920*s7a + 360960*s7b - 107520*li5half*z2 - 
    53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 4480*ln2^3*z2^2 + 63024*ln2*z2^3 + 
    268800*li4half*z3 + 11200*ln2^4*z3 - 104160*ln2^2*z2*z3 - 
    216840*z2^2*z3 + 95040*ln2*z3^2 - 131040*ln2^2*z5 - 1041000*z2*z5 + 
    2222565*z7)/26880, H[-1, 1, 0, -1, 0, -1, -1, 1] -> 
  (2257920*li7half + 1290240*li6half*ln2 + 322560*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 896*ln2^7 - 112320*ln2*s6 + 434880*s7a + 
    51840*s7b - 161280*li5half*z2 - 161280*li4half*ln2*z2 - 9408*ln2^5*z2 + 
    26880*ln2^3*z2^2 + 207216*ln2*z2^3 + 40320*li4half*z3 + 13440*ln2^4*z3 - 
    141120*ln2^2*z2*z3 + 4752*z2^2*z3 + 74880*ln2*z3^2 + 71190*ln2^2*z5 - 
    94320*z2*z5 - 1512495*z7)/80640, H[-1, 1, 0, -1, -1, 1, 1, 1] -> 
  (-23546880*li7half - 3548160*li6half*ln2 - 161280*li5half*ln2^2 + 
    1088*ln2^7 + 3386880*ln2*s6 - 4757760*s7a + 6209280*s7b + 
    161280*li5half*z2 + 41664*ln2^5*z2 - 606144*ln2^3*z2^2 - 
    1371744*ln2*z2^3 - 35280*ln2^4*z3 + 30240*ln2^2*z2*z3 - 1837584*z2^2*z3 - 
    5309640*ln2*z3^2 - 10863720*ln2^2*z5 - 18343080*z2*z5 + 52031385*z7)/
   322560, H[-1, 1, 0, -1, -1, 1, 0, 1] -> 
  (2580480*li7half + 645120*li6half*ln2 + 53760*li5half*ln2^2 - 64*ln2^7 - 
    293760*ln2*s6 + 576000*s7a - 593280*s7b + 40320*li5half*z2 + 
    26880*li4half*ln2*z2 + 2576*ln2^5*z2 + 34944*ln2^3*z2^2 + 
    147664*ln2*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 - 15120*ln2^2*z2*z3 + 
    206100*z2^2*z3 + 485850*ln2*z3^2 + 1120980*ln2^2*z5 + 1695090*z2*z5 - 
    5225715*z7)/26880, H[-1, 1, 0, -1, -1, 1, -1, 1] -> 
  (9999360*li7half + 1612800*li6half*ln2 - 53760*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 1536*ln2^7 - 1808640*ln2*s6 + 2615040*s7a - 
    2223360*s7b + 53760*li5half*z2 + 161280*li4half*ln2*z2 - 17024*ln2^5*z2 + 
    228928*ln2^3*z2^2 + 614880*ln2*z2^3 - 80640*li4half*z3 + 8400*ln2^4*z3 - 
    50400*ln2^2*z2*z3 + 732960*z2^2*z3 + 2119680*ln2*z3^2 + 
    4897200*ln2^2*z5 + 6472320*z2*z5 - 19509435*z7)/107520, 
 H[-1, 1, 0, -1, -1, 0, 1, 1] -> (1760*ln2*s6 - 1760*s7a - 5120*s7b + 
    13440*li5half*z2 - 112*ln2^5*z2 + 1120*ln2^3*z2^2 + 2584*ln2*z2^3 - 
    5180*ln2^2*z2*z3 + 170*z2^2*z3 + 6025*ln2*z3^2 + 5110*ln2^2*z5 - 
    570*z2*z5 - 20850*z7)/4480, H[-1, 1, 0, -1, -1, 0, 0, 1] -> 
  (74880*ln2*s6 - 48000*s7a - 101760*s7b - 12176*ln2*z2^3 + 
    6720*ln2^2*z2*z3 + 26820*z2^2*z3 + 7620*ln2*z3^2 + 32760*ln2^2*z5 + 
    331050*z2*z5 - 628305*z7)/26880, H[-1, 1, 0, -1, -1, 0, -1, 1] -> 
  (198400*ln2*s6 - 198400*s7a - 198400*s7b + 53760*li5half*z2 - 
    448*ln2^5*z2 + 4480*ln2^3*z2^2 - 13216*ln2*z2^3 + 2240*ln2^2*z2*z3 + 
    34528*z2^2*z3 + 54680*ln2*z3^2 - 49560*ln2^2*z5 + 576920*z2*z5 - 
    1246785*z7)/35840, H[-1, 1, 0, -1, -1, -1, 1, 1] -> 
  (-4515840*li7half - 1774080*li6half*ln2 - 403200*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 2912*ln2^7 + 213120*ln2*s6 - 737280*s7a + 
    311040*s7b + 403200*li5half*z2 - 5376*ln2^5*z2 - 31584*ln2^3*z2^2 - 
    294336*ln2*z2^3 - 20160*li4half*z3 + 10920*ln2^4*z3 + 75600*ln2^2*z2*z3 - 
    117144*z2^2*z3 - 328140*ln2*z3^2 - 661500*ln2^2*z5 - 1300500*z2*z5 + 
    5561505*z7)/161280, H[-1, 1, 0, -1, -1, -1, 0, 1] -> 
  (-19200*ln2*s6 + 38400*s7b - 11520*li5half*z2 + 96*ln2^5*z2 - 
    960*ln2^3*z2^2 + 6208*ln2*z2^3 + 6720*li4half*z3 + 280*ln2^4*z3 - 
    240*ln2^2*z2*z3 - 12576*z2^2*z3 - 12000*ln2*z3^2 - 30120*ln2^2*z5 - 
    101100*z2*z5 + 199545*z7)/7680, H[-1, 1, 0, -1, -1, -1, -1, 1] -> 
  (3870720*li7half + 2257920*li6half*ln2 + 483840*li5half*ln2^2 - 
    1664*ln2^7 + 633600*ln2*s6 + 92160*s7a - 633600*s7b - 161280*li5half*z2 - 
    161280*li4half*ln2*z2 + 4032*ln2^5*z2 + 26880*ln2^3*z2^2 + 
    257760*ln2*z2^3 + 80640*li4half*z3 - 20160*ln2^4*z3 - 90720*ln2^2*z2*z3 + 
    130752*z2^2*z3 + 248760*ln2*z3^2 - 161280*ln2^2*z5 + 2045160*z2*z5 - 
    7115715*z7)/322560, H[-1, 1, -1, 1, 1, 1, 1, 1] -> 
  (-645120*li7half - 268800*li6half*ln2 - 26880*li5half*ln2^2 - 32*ln2^7 + 
    82560*ln2*s6 - 82560*s7a + 38400*s7b + 26880*li5half*z2 + 672*ln2^5*z2 + 
    2016*ln2^3*z2^2 - 28608*ln2*z2^3 - 4480*ln2^4*z3 + 26880*ln2^2*z2*z3 + 
    29280*z2^2*z3 - 103200*ln2*z3^2 - 224700*ln2^2*z5 - 9060*z2*z5 + 
    421605*z7)/53760, H[-1, 1, -1, 1, 1, 1, 0, 1] -> 
  (645120*li7half + 483840*li6half*ln2 + 161280*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 320*ln2^7 + 23040*ln2*s6 + 299520*s7a - 
    264960*s7b + 161280*li5half*z2 - 2688*ln2^5*z2 + 10752*ln2^3*z2^2 - 
    66528*ln2*z2^3 - 120960*li4half*z3 + 1680*ln2^4*z3 - 90720*ln2^2*z2*z3 - 
    11520*z2^2*z3 + 293760*ln2*z3^2 + 549360*ln2^2*z5 + 470880*z2*z5 - 
    1101195*z7)/161280, H[-1, 1, -1, 1, 1, 1, -1, 1] -> 
  (2096640*li7half + 967680*li6half*ln2 + 161280*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 736*ln2^7 + 63360*ln2*s6 + 339840*s7a - 
    426240*s7b - 161280*li5half*z2 - 80640*li4half*ln2*z2 - 7392*ln2^5*z2 + 
    7392*ln2^3*z2^2 + 31392*ln2*z2^3 + 40320*li4half*z3 + 21000*ln2^4*z3 - 
    126000*ln2^2*z2*z3 + 70632*z2^2*z3 + 432360*ln2*z3^2 + 674100*ln2^2*z5 + 
    1344060*z2*z5 - 3804525*z7)/161280, H[-1, 1, -1, 1, 1, 0, 1, 1] -> 
  (3548160*li7half + 1451520*li6half*ln2 + 80640*li5half*ln2^2 - 
    80640*li4half*ln2^3 - 2720*ln2^7 - 374400*ln2*s6 + 616320*s7a - 
    391680*s7b - 564480*li5half*z2 - 241920*li4half*ln2*z2 + 4704*ln2^5*z2 + 
    26208*ln2^3*z2^2 + 119232*ln2*z2^3 + 181440*li4half*z3 - 11760*ln2^4*z3 - 
    161280*ln2^2*z2*z3 + 79344*z2^2*z3 + 563760*ln2*z3^2 + 1357020*ln2^2*z5 + 
    859500*z2*z5 - 3713085*z7)/161280, H[-1, 1, -1, 1, 1, 0, 0, 1] -> 
  (322560*li7half + 322560*li6half*ln2 + 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1280*ln2^7 + 57600*ln2*s6 - 17280*s7a - 57600*s7b - 
    241920*li5half*z2 - 241920*li4half*ln2*z2 - 13440*ln2^5*z2 + 
    53088*ln2^3*z2^2 + 15552*ln2*z2^3 - 120960*li4half*z3 + 1680*ln2^4*z3 - 
    5040*ln2^2*z2*z3 + 288216*z2^2*z3 - 200520*ln2*z3^2 - 151200*ln2^2*z5 + 
    675720*z2*z5 - 1774755*z7)/161280, H[-1, 1, -1, 1, 1, 0, -1, 1] -> 
  (1249920*li7half + 604800*li6half*ln2 + 141120*li5half*ln2^2 + 
    20160*li4half*ln2^3 + 256*ln2^7 - 132480*ln2*s6 + 283680*s7a - 
    28800*s7b - 201600*li5half*z2 - 120960*li4half*ln2*z2 - 4200*ln2^5*z2 + 
    24528*ln2^3*z2^2 + 81432*ln2*z2^3 + 60480*li4half*z3 + 1470*ln2^4*z3 - 
    37800*ln2^2*z2*z3 + 2358*z2^2*z3 + 106380*ln2*z3^2 + 158760*ln2^2*z5 + 
    245565*z2*z5 - 1122840*z7)/40320, H[-1, 1, -1, 1, 1, -1, 1, 1] -> 
  (967680*li7half - 241920*li5half*ln2^2 - 80640*li4half*ln2^3 - 1504*ln2^7 - 
    380160*ln2*s6 + 380160*s7a - 587520*s7b + 241920*li5half*z2 + 
    241920*li4half*ln2*z2 + 11424*ln2^5*z2 - 39648*ln2^3*z2^2 - 
    104832*ln2*z2^3 - 120960*li4half*z3 - 3360*ln2^4*z3 + 20160*ln2^2*z2*z3 + 
    215280*z2^2*z3 + 480240*ln2*z3^2 + 1845900*ln2^2*z5 + 847620*z2*z5 - 
    2641545*z7)/161280, H[-1, 1, -1, 1, 1, -1, 0, 1] -> 
  (-80640*li7half + 40320*li5half*ln2^2 + 26880*li4half*ln2^3 + 800*ln2^7 - 
    40320*ln2*s6 - 100800*s7a + 161280*s7b - 161280*li5half*z2 - 
    80640*li4half*ln2*z2 - 5376*ln2^5*z2 + 8064*ln2^3*z2^2 + 38304*ln2*z2^3 + 
    40320*li4half*z3 + 7140*ln2^4*z3 + 15120*ln2^2*z2*z3 - 35028*z2^2*z3 - 
    172620*ln2*z3^2 - 274680*ln2^2*z5 - 6930*z2*z5 + 240345*z7)/80640, 
 H[-1, 1, -1, 1, 1, -1, -1, 1] -> (-1451520*li7half - 483840*li6half*ln2 - 
    416*ln2^7 - 276480*ln2*s6 - 207360*s7a + 1244160*s7b + 4704*ln2^5*z2 - 
    672*ln2^3*z2^2 + 219744*ln2*z2^3 - 19320*ln2^4*z3 + 115920*ln2^2*z2*z3 - 
    320904*z2^2*z3 - 770760*ln2*z3^2 - 1845900*ln2^2*z5 - 3703860*z2*z5 + 
    7813665*z7)/161280, H[-1, 1, -1, 1, 0, 1, 1, 1] -> 
  (3225600*li7half + 967680*li6half*ln2 + 704*ln2^7 - 299520*ln2*s6 + 
    57600*s7a - 426240*s7b - 6720*ln2^5*z2 + 6720*ln2^3*z2^2 + 
    153504*ln2*z2^3 - 604800*li4half*z3 + 11760*ln2^4*z3 - 
    70560*ln2^2*z2*z3 + 351360*z2^2*z3 + 278640*ln2*z3^2 + 1202040*ln2^2*z5 + 
    533880*z2*z5 - 4191345*z7)/322560, H[-1, 1, -1, 1, 0, 1, 0, 1] -> 
  (-645120*li7half - 322560*li6half*ln2 - 80640*li5half*ln2^2 - 
    13440*li4half*ln2^3 - 208*ln2^7 - 37440*ln2*s6 - 144000*s7a + 
    218880*s7b + 672*ln2^5*z2 - 4284*ln2^3*z2^2 + 12324*ln2*z2^3 + 
    60480*li4half*z3 + 840*ln2^4*z3 - 6300*ln2^2*z2*z3 - 85986*z2^2*z3 - 
    110700*ln2*z3^2 - 280035*ln2^2*z5 - 648945*z2*z5 + 1676790*z7)/20160, 
 H[-1, 1, -1, 1, 0, 1, -1, 1] -> (-860160*li7half - 342720*li6half*ln2 - 
    53760*li5half*ln2^2 - 4480*li4half*ln2^3 - 44*ln2^7 + 6960*ln2*s6 - 
    176640*s7a + 226560*s7b + 53760*li5half*z2 + 13440*li4half*ln2*z2 + 
    728*ln2^5*z2 - 7588*ln2^3*z2^2 - 13596*ln2*z2^3 - 6720*li4half*z3 - 
    560*ln2^4*z3 + 5880*ln2^2*z2*z3 - 62616*z2^2*z3 - 156645*ln2*z3^2 - 
    339150*ln2^2*z5 - 729570*z2*z5 + 1911660*z7)/6720, 
 H[-1, 1, -1, 1, 0, 0, 1, 1] -> (322560*li7half - 64*ln2^7 + 293760*ln2*s6 + 
    512640*s7a - 737280*s7b + 1344*ln2^5*z2 + 16128*ln2^3*z2^2 - 
    129120*ln2*z2^3 - 5040*ln2^4*z3 + 110880*ln2^2*z2*z3 + 186768*z2^2*z3 + 
    328320*ln2*z3^2 + 467460*ln2^2*z5 + 3109500*z2*z5 - 5260635*z7)/161280, 
 H[-1, 1, -1, 1, 0, 0, 0, 1] -> (-98*ln2^3*z2^2 - 477*ln2*z2^3 - 
    315*ln2^2*z2*z3 - 1071*z2^2*z3 + 1260*ln2*z3^2 + 1680*ln2^2*z5 - 
    3255*z2*z5 + 8400*z7)/1680, H[-1, 1, -1, 1, 0, 0, -1, 1] -> 
  (12480*ln2*s6 + 21120*s7a - 46080*s7b - 140*ln2^3*z2^2 - 15140*ln2*z2^3 + 
    210*ln2^4*z3 + 420*ln2^2*z2*z3 + 12156*z2^2*z3 + 25980*ln2*z3^2 + 
    63525*ln2^2*z5 + 142395*z2*z5 - 232590*z7)/6720, 
 H[-1, 1, -1, 1, 0, -1, 1, 1] -> (1599360*li7half + 645120*li6half*ln2 + 
    107520*li5half*ln2^2 + 8960*li4half*ln2^3 + 56*ln2^7 + 26400*ln2*s6 + 
    323040*s7a - 412800*s7b - 107520*li5half*z2 - 26880*li4half*ln2*z2 - 
    1120*ln2^5*z2 + 14840*ln2^3*z2^2 + 33864*ln2*z2^3 + 13440*li4half*z3 - 
    5040*ln2^2*z2*z3 + 112464*z2^2*z3 + 269400*ln2*z3^2 + 529305*ln2^2*z5 + 
    1419135*z2*z5 - 3646290*z7)/13440, H[-1, 1, -1, 1, 0, -1, 0, 1] -> 
  (-645120*li7half - 322560*li6half*ln2 - 80640*li5half*ln2^2 - 
    13440*li4half*ln2^3 - 208*ln2^7 - 37440*ln2*s6 - 144000*s7a + 
    218880*s7b + 672*ln2^5*z2 - 4620*ln2^3*z2^2 + 2004*ln2*z2^3 + 
    60480*li4half*z3 + 1260*ln2^4*z3 - 23940*ln2^2*z2*z3 - 92286*z2^2*z3 - 
    77940*ln2*z3^2 - 247275*ln2^2*z5 - 757305*z2*z5 + 1880280*z7)/20160, 
 H[-1, 1, -1, 1, 0, -1, -1, 1] -> 
  (-322560*li7half + 64*ln2^7 + 230400*ln2*s6 - 230400*s7a - 311040*s7b + 
    161280*li5half*z2 - 2688*ln2^5*z2 - 8064*ln2^3*z2^2 - 94368*ln2*z2^3 + 
    12320*ln2^4*z3 - 73920*ln2^2*z2*z3 + 66576*z2^2*z3 + 156360*ln2*z3^2 + 
    322560*ln2^2*z5 + 749880*z2*z5 - 1464615*z7)/107520, 
 H[-1, 1, -1, 1, -1, 1, 1, 1] -> (483840*li7half + 483840*li6half*ln2 + 
    241920*li5half*ln2^2 + 80640*li4half*ln2^3 + 1952*ln2^7 - 103680*ln2*s6 - 
    17280*s7a + 103680*s7b - 241920*li5half*z2 - 241920*li4half*ln2*z2 - 
    16800*ln2^5*z2 + 40992*ln2^3*z2^2 + 16704*ln2*z2^3 + 120960*li4half*z3 + 
    24360*ln2^4*z3 - 146160*ln2^2*z2*z3 - 63576*z2^2*z3 + 81720*ln2*z3^2 + 
    15120*ln2^2*z5 - 440640*z2*z5 + 644445*z7)/161280, 
 H[-1, 1, -1, 1, -1, 1, 0, 1] -> (14*ln2^5*z2 + 56*ln2^3*z2^2 + 
    198*ln2*z2^3 - 140*ln2^4*z3 + 1050*ln2^2*z2*z3 - 840*ln2*z3^2 - 
    1680*ln2^2*z5 + 1995*z2*z5 - 3360*z7)/3360, 
 H[-1, 1, -1, 1, -1, 1, -1, 1] -> (-4*ln2^7 + 84*ln2^5*z2 - 84*ln2^3*z2^2 + 
    180*ln2*z2^3 - 210*ln2^4*z3 + 1260*ln2^2*z2*z3 - 126*z2^2*z3 - 
    630*ln2*z3^2 - 1890*ln2^2*z5 + 1890*z2*z5 - 2835*z7)/20160, 
 H[-1, 1, -1, 1, -1, 0, 1, 1] -> (-4677120*li7half - 2580480*li6half*ln2 - 
    645120*li5half*ln2^2 - 107520*li4half*ln2^3 - 1760*ln2^7 + 17280*ln2*s6 - 
    662400*s7a + 748800*s7b + 645120*li5half*z2 + 322560*li4half*ln2*z2 + 
    16800*ln2^5*z2 - 39648*ln2^3*z2^2 - 56736*ln2*z2^3 - 161280*li4half*z3 - 
    28560*ln2^4*z3 + 191520*ln2^2*z2*z3 - 171936*z2^2*z3 - 646560*ln2*z3^2 - 
    1357020*ln2^2*z5 - 2223540*z2*z5 + 7032645*z7)/161280, 
 H[-1, 1, -1, 1, -1, 0, 0, 1] -> (-532*ln2^3*z2^2 - 1068*ln2*z2^3 + 
    210*ln2^4*z3 - 2940*ln2^2*z2*z3 - 1344*z2^2*z3 + 4620*ln2*z3^2 + 
    6300*ln2^2*z5 - 9660*z2*z5 + 19845*z7)/6720, 
 H[-1, 1, -1, 1, -1, 0, -1, 1] -> (-322560*li7half - 161280*li6half*ln2 - 
    40320*li5half*ln2^2 - 6720*li4half*ln2^3 - 104*ln2^7 - 40320*s7a + 
    40320*s7b + 40320*li5half*z2 + 20160*li4half*ln2*z2 + 882*ln2^5*z2 - 
    4452*ln2^3*z2^2 - 14562*ln2*z2^3 - 10080*li4half*z3 - 525*ln2^4*z3 + 
    3780*ln2^2*z2*z3 - 8253*z2^2*z3 - 31500*ln2*z3^2 - 39690*ln2^2*z5 - 
    158445*z2*z5 + 499590*z7)/10080, H[-1, 1, -1, 1, -1, -1, 1, 1] -> 
  (181440*li7half + 120960*li6half*ln2 + 30240*li5half*ln2^2 - 124*ln2^7 + 
    75600*ln2*s6 + 45360*s7a - 60480*s7b - 30240*li5half*z2 + 1092*ln2^5*z2 - 
    2604*ln2^3*z2^2 - 3096*ln2*z2^3 - 2415*ln2^4*z3 + 14490*ln2^2*z2*z3 + 
    15939*z2^2*z3 + 4095*ln2*z3^2 - 31185*ln2^2*z5 + 314685*z2*z5 - 
    635040*z7)/20160, H[-1, 1, -1, 1, -1, -1, 0, 1] -> 
  (-40320*li7half - 40320*li6half*ln2 - 20160*li5half*ln2^2 - 
    6720*li4half*ln2^3 - 160*ln2^7 - 66240*ln2*s6 + 5760*s7a + 66240*s7b - 
    40320*li5half*z2 - 40320*li4half*ln2*z2 - 840*ln2^5*z2 + 
    6048*ln2^3*z2^2 + 9216*ln2*z2^3 + 110880*li4half*z3 + 4830*ln2^4*z3 - 
    57960*ln2^2*z2*z3 - 72090*z2^2*z3 + 88470*ln2*z3^2 + 20160*ln2^2*z5 - 
    308295*z2*z5 + 687240*z7)/40320, H[-1, 1, -1, 1, -1, -1, -1, 1] -> 
  (-1612800*li7half - 1128960*li6half*ln2 - 322560*li5half*ln2^2 - 
    26880*li4half*ln2^3 + 352*ln2^7 + 28800*ln2*s6 - 391680*s7a - 
    149760*s7b + 322560*li5half*z2 + 80640*li4half*ln2*z2 - 3360*ln2^5*z2 + 
    7392*ln2^3*z2^2 - 86112*ln2*z2^3 - 40320*li4half*z3 + 11760*ln2^4*z3 - 
    70560*ln2^2*z2*z3 + 33984*z2^2*z3 + 110160*ln2*z3^2 + 249480*ln2^2*z5 + 
    109800*z2*z5 + 543195*z7)/161280, H[-1, 1, -1, 0, 1, 1, 1, 1] -> 
  (-483840*li7half - 282240*li6half*ln2 - 60480*li5half*ln2^2 + 208*ln2^7 - 
    103680*ln2*s6 - 87840*s7a + 204480*s7b + 60480*li5half*z2 - 
    1680*ln2^5*z2 + 2352*ln2^3*z2^2 + 23112*ln2*z2^3 + 25200*li4half*z3 + 
    3990*ln2^4*z3 - 23940*ln2^2*z2*z3 - 112842*z2^2*z3 - 42390*ln2*z3^2 - 
    178290*ln2^2*z5 - 714690*z2*z5 + 1718595*z7)/40320, 
 H[-1, 1, -1, 0, 1, 1, 0, 1] -> (65280*ln2*s6 - 172800*s7a + 42240*s7b - 
    161280*li5half*z2 + 1344*ln2^5*z2 - 4480*ln2^3*z2^2 + 15072*ln2*z2^3 + 
    73920*ln2^2*z2*z3 + 122592*z2^2*z3 - 200040*ln2*z3^2 - 252840*ln2^2*z5 + 
    80040*z2*z5 - 439245*z7)/107520, H[-1, 1, -1, 0, 1, 1, -1, 1] -> 
  (15966720*li7half + 4999680*li6half*ln2 + 564480*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1312*ln2^7 - 1013760*ln2*s6 + 3473280*s7a - 
    4550400*s7b - 564480*li5half*z2 - 161280*li4half*ln2*z2 - 
    26208*ln2^5*z2 + 279552*ln2^3*z2^2 + 450144*ln2*z2^3 + 80640*li4half*z3 - 
    14280*ln2^4*z3 + 55440*ln2^2*z2*z3 + 1333944*z2^2*z3 + 3216420*ln2*z3^2 + 
    7197120*ln2^2*z5 + 14193360*z2*z5 - 37430595*z7)/161280, 
 H[-1, 1, -1, 0, 1, 0, 1, 1] -> (1128960*li7half + 645120*li6half*ln2 + 
    161280*li5half*ln2^2 + 26880*li4half*ln2^3 + 448*ln2^7 + 156960*ln2*s6 + 
    165600*s7a - 348480*s7b + 40320*li5half*z2 + 80640*li4half*ln2*z2 + 
    1008*ln2^5*z2 - 18816*ln2^3*z2^2 - 8352*ln2*z2^3 - 60480*li4half*z3 + 
    3360*ln2^4*z3 + 45360*ln2^2*z2*z3 + 110268*z2^2*z3 + 120060*ln2*z3^2 + 
    343035*ln2^2*z5 + 1131075*z2*z5 - 3025800*z7)/40320, 
 H[-1, 1, -1, 0, 1, 0, 0, 1] -> (11520*ln2*s6 + 15360*s7a - 38400*s7b + 
    107520*li5half*z2 + 53760*li4half*ln2*z2 + 1344*ln2^5*z2 - 
    9856*ln2^3*z2^2 + 9680*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 
    16800*ln2^2*z2*z3 - 24408*z2^2*z3 + 21720*ln2*z3^2 + 43260*ln2^2*z5 - 
    15720*z2*z5 - 23025*z7)/26880, H[-1, 1, -1, 0, 1, 0, -1, 1] -> 
  (-1290240*li7half - 645120*li6half*ln2 - 161280*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 416*ln2^7 + 161280*ln2*s6 - 322560*s7a + 
    262080*li5half*z2 + 161280*li4half*ln2*z2 + 5880*ln2^5*z2 - 
    30408*ln2^3*z2^2 - 79920*ln2*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 
    52920*ln2^2*z2*z3 + 7812*z2^2*z3 - 112140*ln2*z3^2 - 157500*ln2^2*z5 - 
    196875*z2*z5 + 951930*z7)/40320, H[-1, 1, -1, 0, 1, -1, 1, 1] -> 
  (-9999360*li7half - 2580480*li6half*ln2 - 134400*li5half*ln2^2 - 
    480*ln2^7 + 871680*ln2*s6 - 2269440*s7a + 2999040*s7b + 
    134400*li5half*z2 + 13216*ln2^5*z2 - 182112*ln2^3*z2^2 - 
    296640*ln2*z2^3 + 20160*ln2^2*z2*z3 - 858864*z2^2*z3 - 2312640*ln2*z3^2 - 
    5061420*ln2^2*z5 - 9016740*z2*z5 + 23864685*z7)/53760, 
 H[-1, 1, -1, 0, 1, -1, 0, 1] -> (1720320*li7half + 645120*li6half*ln2 + 
    107520*li5half*ln2^2 + 8960*li4half*ln2^3 + 32*ln2^7 - 46080*ln2*s6 + 
    395520*s7a - 545280*s7b + 20160*li5half*z2 + 280*ln2^5*z2 + 
    21336*ln2^3*z2^2 + 27984*ln2*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 + 
    6720*ln2^2*z2*z3 + 168276*z2^2*z3 + 370080*ln2*z3^2 + 796530*ln2^2*z5 + 
    1572255*z2*z5 - 4212270*z7)/13440, H[-1, 1, -1, 0, 1, -1, -1, 1] -> 
  (33868800*li7half + 7741440*li6half*ln2 + 161280*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 7168*ln2^7 - 2787840*ln2*s6 + 6981120*s7a - 
    11001600*s7b - 1128960*li5half*z2 - 322560*li4half*ln2*z2 - 
    77952*ln2^5*z2 + 701568*ln2^3*z2^2 + 791712*ln2*z2^3 + 
    161280*li4half*z3 + 42000*ln2^4*z3 - 312480*ln2^2*z2*z3 + 
    3028896*z2^2*z3 + 8476920*ln2*z3^2 + 18181800*ln2^2*z5 + 33993000*z2*z5 - 
    86278275*z7)/322560, H[-1, 1, -1, 0, 0, 1, 1, 1] -> 
  (-483840*li7half - 161280*li6half*ln2 - 128*ln2^7 + 95040*ln2*s6 + 
    5760*s7a + 5760*s7b + 1344*ln2^5*z2 - 1344*ln2^3*z2^2 - 18144*ln2*z2^3 + 
    100800*li4half*z3 - 1680*ln2^4*z3 + 10080*ln2^2*z2*z3 - 24840*z2^2*z3 - 
    53280*ln2*z3^2 - 176400*ln2^2*z5 + 159480*z2*z5 + 167805*z7)/80640, 
 H[-1, 1, -1, 0, 0, 1, 0, 1] -> (-13440*ln2*s6 + 26880*s7a + 
    2688*ln2^3*z2^2 - 12008*ln2*z2^3 - 2520*ln2^2*z2*z3 + 23520*ln2*z3^2 + 
    23730*ln2^2*z5 + 6300*z2*z5 + 22155*z7)/13440, 
 H[-1, 1, -1, 0, 0, 1, -1, 1] -> (40320*li6half*ln2 + 56*ln2^7 + 
    18000*ln2*s6 - 63360*s7a + 138240*s7b - 840*ln2^5*z2 - 3192*ln2^3*z2^2 + 
    40644*ln2*z2^3 - 30240*ln2^2*z2*z3 - 39366*z2^2*z3 - 82980*ln2*z3^2 - 
    200025*ln2^2*z5 - 407655*z2*z5 + 677925*z7)/20160, 
 H[-1, 1, -1, 0, 0, 0, 1, 1] -> (-34560*ln2*s6 - 72960*s7a + 74880*s7b - 
    1792*ln2^3*z2^2 + 25520*ln2*z2^3 - 10080*ln2^2*z2*z3 - 18168*z2^2*z3 - 
    43320*ln2*z3^2 - 53340*ln2^2*z5 - 364860*z2*z5 + 557955*z7)/26880, 
 H[-1, 1, -1, 0, 0, 0, 0, 1] -> (888*ln2*z2^3 + 1582*z2^2*z3 - 630*ln2*z3^2 - 
    1050*ln2^2*z5 + 3290*z2*z5 - 11025*z7)/2240, 
 H[-1, 1, -1, 0, 0, 0, -1, 1] -> (-38400*ln2*s6 - 69120*s7a + 145920*s7b - 
    1568*ln2^3*z2^2 + 52336*ln2*z2^3 - 5040*ln2^2*z2*z3 - 37920*z2^2*z3 - 
    88920*ln2*z3^2 - 194040*ln2^2*z5 - 474840*z2*z5 + 769155*z7)/26880, 
 H[-1, 1, -1, 0, 0, -1, 1, 1] -> (645120*li7half - 128*ln2^7 - 
    334080*ln2*s6 + 334080*s7a - 633600*s7b + 2688*ln2^5*z2 + 
    21840*ln2^3*z2^2 - 130608*ln2*z2^3 + 120960*ln2^2*z2*z3 + 
    191232*z2^2*z3 + 457920*ln2*z3^2 + 1309140*ln2^2*z5 + 1519740*z2*z5 - 
    3155535*z7)/80640, H[-1, 1, -1, 0, 0, -1, 0, 1] -> 
  (-13440*ln2*s6 + 26880*s7a + 2352*ln2^3*z2^2 - 7480*ln2*z2^3 + 
    2520*ln2^2*z2*z3 + 2856*z2^2*z3 + 10080*ln2*z3^2 + 15330*ln2^2*z5 + 
    73500*z2*z5 - 101325*z7)/13440, H[-1, 1, -1, 0, 0, -1, -1, 1] -> 
  (80640*li7half - 16*ln2^7 - 56160*ln2*s6 + 96480*s7a + 106560*s7b - 
    40320*li5half*z2 + 672*ln2^5*z2 + 1680*ln2^3*z2^2 + 35784*ln2*z2^3 - 
    2940*ln2^4*z3 + 17640*ln2^2*z2*z3 - 22320*z2^2*z3 - 60210*ln2*z3^2 - 
    137025*ln2^2*z5 - 273960*z2*z5 + 549900*z7)/40320, 
 H[-1, 1, -1, 0, -1, 1, 1, 1] -> (17579520*li7half + 4838400*li6half*ln2 + 
    322560*li5half*ln2^2 - 53760*li4half*ln2^3 - 1696*ln2^7 - 
    1008000*ln2*s6 + 3830400*s7a - 5080320*s7b - 322560*li5half*z2 + 
    161280*li4half*ln2*z2 + 2016*ln2^5*z2 + 229824*ln2^3*z2^2 + 
    536832*ln2*z2^3 - 80640*li4half*z3 - 21000*ln2^4*z3 + 95760*ln2^2*z2*z3 + 
    1457064*z2^2*z3 + 3676680*ln2*z3^2 + 7939260*ln2^2*z5 + 15894900*z2*z5 - 
    41879565*z7)/161280, H[-1, 1, -1, 0, -1, 1, 0, 1] -> 
  (-860160*li7half - 322560*li6half*ln2 - 53760*li5half*ln2^2 - 
    4480*li4half*ln2^3 - 16*ln2^7 + 23040*ln2*s6 - 197760*s7a + 272640*s7b - 
    224*ln2^5*z2 - 9268*ln2^3*z2^2 - 12372*ln2*z2^3 + 20160*li4half*z3 + 
    840*ln2^4*z3 - 6720*ln2^2*z2*z3 - 84642*z2^2*z3 - 178320*ln2*z3^2 - 
    402465*ln2^2*z5 - 817365*z2*z5 + 2144355*z7)/6720, 
 H[-1, 1, -1, 0, -1, 1, -1, 1] -> (-1290240*li7half - 362880*li6half*ln2 - 
    26880*li5half*ln2^2 - 24*ln2^7 + 84480*ln2*s6 - 299520*s7a + 399360*s7b + 
    26880*li5half*z2 + 1400*ln2^5*z2 - 20552*ln2^3*z2^2 - 28824*ln2*z2^3 + 
    2520*ln2^2*z2*z3 - 114228*z2^2*z3 - 295965*ln2*z3^2 - 651420*ln2^2*z5 - 
    1220580*z2*z5 + 3157095*z7)/6720, H[-1, 1, -1, 0, -1, 0, 1, 1] -> 
  (4515840*li7half + 2580480*li6half*ln2 + 645120*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 1792*ln2^7 + 138240*ln2*s6 + 506880*s7a - 
    864000*s7b + 645120*li5half*z2 + 322560*li4half*ln2*z2 - 
    28896*ln2^3*z2^2 + 210240*ln2*z2^3 - 241920*li4half*z3 + 13440*ln2^4*z3 - 
    60480*ln2^2*z2*z3 + 346176*z2^2*z3 + 467280*ln2*z3^2 + 1323000*ln2^2*z5 + 
    1356120*z2*z5 - 7716285*z7)/161280, H[-1, 1, -1, 0, -1, 0, 0, 1] -> 
  (11520*ln2*s6 + 15360*s7a - 38400*s7b + 107520*li5half*z2 + 
    53760*li4half*ln2*z2 + 1344*ln2^5*z2 - 9184*ln2^3*z2^2 + 21040*ln2*z2^3 - 
    26880*li4half*z3 - 1120*ln2^4*z3 + 20160*ln2^2*z2*z3 + 16248*z2^2*z3 - 
    15240*ln2*z3^2 + 34860*ln2^2*z5 + 36360*z2*z5 - 240585*z7)/26880, 
 H[-1, 1, -1, 0, -1, 0, -1, 1] -> (-645120*li7half - 322560*li6half*ln2 - 
    80640*li5half*ln2^2 - 13440*li4half*ln2^3 - 208*ln2^7 - 161280*s7a + 
    161280*s7b + 161280*li5half*z2 + 80640*li4half*ln2*z2 + 2688*ln2^5*z2 - 
    12180*ln2^3*z2^2 + 14940*ln2*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 + 
    11340*ln2^2*z2*z3 - 32634*z2^2*z3 - 124110*ln2*z3^2 - 233730*ln2^2*z5 - 
    639450*z2*z5 + 1361745*z7)/20160, H[-1, 1, -1, 0, -1, -1, 1, 1] -> 
  (28062720*li7half + 8709120*li6half*ln2 + 645120*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 3328*ln2^7 - 2373120*ln2*s6 + 5840640*s7a - 
    7545600*s7b - 645120*li5half*z2 - 161280*li4half*ln2*z2 - 
    25536*ln2^5*z2 + 361536*ln2^3*z2^2 + 800928*ln2*z2^3 + 
    201600*li4half*z3 + 43680*ln2^4*z3 - 322560*ln2^2*z2*z3 + 
    2090736*z2^2*z3 + 6106320*ln2*z3^2 + 13963320*ln2^2*z5 + 21588120*z2*z5 - 
    60490305*z7)/322560, H[-1, 1, -1, 0, -1, -1, 0, 1] -> 
  (96000*ln2*s6 + 11520*s7a - 203520*s7b + 2240*ln2^3*z2^2 - 51936*ln2*z2^3 - 
    282240*li4half*z3 - 11760*ln2^4*z3 + 144480*ln2^2*z2*z3 + 
    197280*z2^2*z3 - 173760*ln2*z3^2 + 59640*ln2^2*z5 + 997680*z2*z5 - 
    1830855*z7)/107520, H[-1, 1, -1, 0, -1, -1, -1, 1] -> 
  (-1612800*li7half - 483840*li6half*ln2 - 352*ln2^7 - 28800*ln2*s6 - 
    253440*s7a + 794880*s7b + 322560*li5half*z2 + 241920*li4half*ln2*z2 + 
    10752*ln2^5*z2 - 44352*ln2^3*z2^2 + 69984*ln2*z2^3 - 120960*li4half*z3 - 
    16800*ln2^4*z3 + 100800*ln2^2*z2*z3 - 163008*z2^2*z3 - 599040*ln2*z3^2 - 
    1161720*ln2^2*z5 - 2690280*z2*z5 + 5582925*z7)/161280, 
 H[-1, 1, -1, -1, 1, 1, 1, 1] -> (-322560*li7half - 80640*li6half*ln2 - 
    40320*li5half*ln2^2 - 13440*li4half*ln2^3 - 256*ln2^7 + 51840*ln2*s6 - 
    31680*s7a + 190080*s7b + 40320*li5half*z2 + 40320*li4half*ln2*z2 + 
    1344*ln2^5*z2 - 22848*ln2^3*z2^2 - 4848*ln2*z2^3 - 20160*li4half*z3 + 
    5880*ln2^4*z3 - 35280*ln2^2*z2*z3 - 139824*z2^2*z3 - 57240*ln2*z3^2 - 
    236250*ln2^2*z5 - 543870*z2*z5 + 1508085*z7)/80640, 
 H[-1, 1, -1, -1, 1, 1, 0, 1] -> (-1612800*li7half - 1612800*li6half*ln2 - 
    645120*li5half*ln2^2 - 107520*li4half*ln2^3 - 1024*ln2^7 - 
    414720*ln2*s6 - 391680*s7a - 149760*s7b + 645120*li5half*z2 + 
    322560*li4half*ln2*z2 + 9408*ln2^5*z2 - 21504*ln2^3*z2^2 + 
    113184*ln2*z2^3 - 161280*li4half*z3 - 8400*ln2^4*z3 + 
    282240*ln2^2*z2*z3 + 513792*z2^2*z3 - 285480*ln2*z3^2 + 463680*ln2^2*z5 - 
    273240*z2*z5 - 759645*z7)/322560, H[-1, 1, -1, -1, 1, 1, -1, 1] -> 
  (967680*li7half - 256*ln2^7 - 380160*ln2*s6 + 380160*s7a - 587520*s7b + 
    5376*ln2^5*z2 + 64512*ln2^3*z2^2 + 49632*ln2*z2^3 - 38640*ln2^4*z3 + 
    231840*ln2^2*z2*z3 + 286848*z2^2*z3 + 109800*ln2*z3^2 + 945000*ln2^2*z5 + 
    1748520*z2*z5 - 4142205*z7)/322560, H[-1, 1, -1, -1, 1, 0, 1, 1] -> 
  (-5806080*li7half - 1935360*li6half*ln2 + 161280*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 6080*ln2^7 - 241920*ln2*s6 - 1693440*s7a + 
    1693440*s7b - 1128960*li5half*z2 - 645120*li4half*ln2*z2 - 
    38976*ln2^5*z2 + 41664*ln2^3*z2^2 - 370080*ln2*z2^3 + 322560*li4half*z3 + 
    52080*ln2^4*z3 + 151200*ln2^2*z2*z3 - 685440*z2^2*z3 - 1053360*ln2*z3^2 - 
    2557800*ln2^2*z5 - 3943800*z2*z5 + 13576815*z7)/322560, 
 H[-1, 1, -1, -1, 1, 0, 0, 1] -> (645120*li7half + 483840*li6half*ln2 + 
    161280*li5half*ln2^2 + 26880*li4half*ln2^3 + 320*ln2^7 + 273600*ln2*s6 + 
    69120*s7a - 293760*s7b - 120960*li5half*z2 + 336*ln2^5*z2 - 
    16464*ln2^3*z2^2 - 93456*ln2*z2^3 - 120960*li4half*z3 - 2520*ln2^4*z3 + 
    47880*ln2^2*z2*z3 + 28260*z2^2*z3 + 66240*ln2*z3^2 + 114660*ln2^2*z5 + 
    1090350*z2*z5 - 1977075*z7)/80640, H[-1, 1, -1, -1, 1, 0, -1, 1] -> 
  (-967680*li7half + 1935360*li6half*ln2 + 1128960*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 2432*ln2^7 + 2453760*ln2*s6 - 518400*s7a - 
    1969920*s7b - 1612800*li5half*z2 - 645120*li4half*ln2*z2 - 
    16128*ln2^5*z2 - 61824*ln2^3*z2^2 - 1211040*ln2*z2^3 + 
    322560*li4half*z3 + 21840*ln2^4*z3 + 100800*ln2^2*z2*z3 + 
    291168*z2^2*z3 + 423000*ln2*z3^2 + 292320*ln2^2*z5 + 7875720*z2*z5 - 
    10289565*z7)/322560, H[-1, 1, -1, -1, 1, -1, 1, 1] -> 
  (-967680*li7half - 967680*li6half*ln2 - 241920*li5half*ln2^2 + 832*ln2^7 - 
    587520*ln2*s6 - 380160*s7a + 587520*s7b + 241920*li5half*z2 - 
    5376*ln2^5*z2 + 52416*ln2^3*z2^2 + 199584*ln2*z2^3 - 1680*ln2^4*z3 + 
    10080*ln2^2*z2*z3 - 165888*z2^2*z3 - 170280*ln2*z3^2 - 464940*ln2^2*z5 - 
    2228580*z2*z5 + 4153545*z7)/161280, H[-1, 1, -1, -1, 1, -1, 0, 1] -> 
  (322560*li7half + 322560*li6half*ln2 + 134400*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 384*ln2^7 + 251520*ln2*s6 - 23040*s7a - 
    157440*s7b - 53760*li5half*z2 - 672*ln2^5*z2 - 5376*ln2^3*z2^2 - 
    50784*ln2*z2^3 - 120960*li4half*z3 - 2800*ln2^4*z3 + 13440*ln2^2*z2*z3 + 
    85248*z2^2*z3 - 30480*ln2*z3^2 - 77280*ln2^2*z5 + 519180*z2*z5 - 
    1158735*z7)/53760, H[-1, 1, -1, -1, 1, -1, -1, 1] -> 
  (2903040*li7half + 2903040*li6half*ln2 + 967680*li5half*ln2^2 + 
    161280*li4half*ln2^3 + 2176*ln2^7 + 1416960*ln2*s6 - 207360*s7a - 
    1416960*s7b - 967680*li5half*z2 - 483840*li4half*ln2*z2 - 
    21504*ln2^5*z2 - 24192*ln2^3*z2^2 - 441504*ln2*z2^3 + 241920*li4half*z3 + 
    48720*ln2^4*z3 - 292320*ln2^2*z2*z3 + 247104*z2^2*z3 + 620280*ln2*z3^2 + 
    929880*ln2^2*z5 + 5167800*z2*z5 - 10462635*z7)/322560, 
 H[-1, 1, -1, -1, 0, 1, 1, 1] -> (-2257920*li7half + 483840*li5half*ln2^2 + 
    161280*li4half*ln2^3 + 3136*ln2^7 + 714240*ln2*s6 - 472320*s7a + 
    11520*s7b - 483840*li5half*z2 - 483840*li4half*ln2*z2 - 25536*ln2^5*z2 + 
    73920*ln2^3*z2^2 - 226080*ln2*z2^3 - 120960*li4half*z3 - 6720*ln2^4*z3 + 
    40320*ln2^2*z2*z3 + 276912*z2^2*z3 - 797040*ln2*z3^2 - 1202040*ln2^2*z5 + 
    684360*z2*z5 + 726525*z7)/322560, H[-1, 1, -1, -1, 0, 1, 0, 1] -> 
  (4515840*li7half + 1935360*li6half*ln2 + 322560*li5half*ln2^2 - 896*ln2^7 - 
    852480*ln2*s6 + 1981440*s7a - 599040*s7b + 241920*li5half*z2 + 
    241920*li4half*ln2*z2 + 13440*ln2^5*z2 - 6048*ln2^3*z2^2 + 
    103008*ln2*z2^3 + 483840*li4half*z3 + 10080*ln2^4*z3 - 
    85680*ln2^2*z2*z3 - 105480*z2^2*z3 + 1408320*ln2*z3^2 + 
    2240280*ln2^2*z5 + 1524060*z2*z5 - 5559525*z7)/161280, 
 H[-1, 1, -1, -1, 0, 1, -1, 1] -> (29998080*li7half + 7741440*li6half*ln2 - 
    483840*li5half*ln2^2 - 376320*li4half*ln2^3 - 6848*ln2^7 - 
    3651840*ln2*s6 + 7845120*s7a - 6670080*s7b + 483840*li5half*z2 - 
    322560*li4half*ln2*z2 - 20160*ln2^5*z2 + 538944*ln2^3*z2^2 + 
    1853856*ln2*z2^3 + 403200*li4half*z3 - 5040*ln2^4*z3 - 
    1360800*ln2^2*z2*z3 + 1713024*z2^2*z3 + 6726960*ln2*z3^2 + 
    14560560*ln2^2*z5 + 19548000*z2*z5 - 58528305*z7)/322560, 
 H[-1, 1, -1, -1, 0, 0, 1, 1] -> (-645120*li7half - 322560*li6half*ln2 - 
    161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 1216*ln2^7 + 720000*ln2*s6 - 
    760320*s7a - 276480*s7b + 322560*li5half*z2 + 322560*li4half*ln2*z2 + 
    14784*ln2^5*z2 - 69888*ln2^3*z2^2 - 48288*ln2*z2^3 - 665280*li4half*z3 - 
    34440*ln2^4*z3 + 196560*ln2^2*z2*z3 + 384408*z2^2*z3 - 625320*ln2*z3^2 - 
    467460*ln2^2*z5 + 165780*z2*z5 - 1125585*z7)/161280, 
 H[-1, 1, -1, -1, 0, 0, 0, 1] -> (-22080*ln2*s6 + 1920*s7a + 22080*s7b - 
    13440*li5half*z2 - 13440*li4half*ln2*z2 - 448*ln2^5*z2 + 
    3024*ln2^3*z2^2 + 7680*ln2*z2^3 + 36960*li4half*z3 + 1540*ln2^4*z3 - 
    12600*ln2^2*z2*z3 - 7230*z2^2*z3 + 16050*ln2*z3^2 - 13440*ln2^2*z5 - 
    55725*z2*z5 + 81765*z7)/13440, H[-1, 1, -1, -1, 0, 0, -1, 1] -> 
  (80640*li7half + 80640*li6half*ln2 + 40320*li5half*ln2^2 + 
    13440*li4half*ln2^3 + 320*ln2^7 + 51840*ln2*s6 - 203040*s7a + 
    149760*s7b - 20160*li5half*z2 - 20160*li4half*ln2*z2 - 2016*ln2^5*z2 + 
    4200*ln2^3*z2^2 + 68664*ln2*z2^3 - 80640*li4half*z3 - 1680*ln2^4*z3 + 
    8820*ln2^2*z2*z3 - 594*z2^2*z3 - 190800*ln2*z3^2 - 381150*ln2^2*z5 - 
    490320*z2*z5 + 606555*z7)/40320, H[-1, 1, -1, -1, 0, -1, 1, 1] -> 
  (-29030400*li7half - 8709120*li6half*ln2 - 483840*li5half*ln2^2 + 
    53760*li4half*ln2^3 - 64*ln2^7 + 3375360*ln2*s6 - 6842880*s7a + 
    5011200*s7b + 483840*li5half*z2 + 1290240*li4half*ln2*z2 + 
    76608*ln2^5*z2 - 692160*ln2^3*z2^2 - 2134944*ln2*z2^3 - 
    1491840*li4half*z3 - 84000*ln2^4*z3 + 1895040*ln2^2*z2*z3 - 
    694800*z2^2*z3 - 6431760*ln2*z3^2 - 10984680*ln2^2*z5 - 15589800*z2*z5 + 
    49266765*z7)/322560, H[-1, 1, -1, -1, 0, -1, 0, 1] -> 
  (2257920*li7half + 967680*li6half*ln2 + 161280*li5half*ln2^2 - 448*ln2^7 - 
    691200*ln2*s6 + 1033920*s7a - 34560*s7b - 120960*li5half*z2 - 
    120960*li4half*ln2*z2 - 1344*ln2^5*z2 + 38640*ln2^3*z2^2 + 
    139152*ln2*z2^3 + 604800*li4half*z3 + 18480*ln2^4*z3 - 
    168840*ln2^2*z2*z3 - 256932*z2^2*z3 + 816120*ln2*z3^2 + 989100*ln2^2*z5 + 
    371160*z2*z5 - 1625805*z7)/80640, H[-1, 1, -1, -1, 0, -1, -1, 1] -> 
  (645120*li7half + 322560*li6half*ln2 + 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1216*ln2^7 - 69120*ln2*s6 + 391680*s7a + 
    149760*s7b - 322560*li5half*z2 - 161280*li4half*ln2*z2 - 8064*ln2^5*z2 + 
    34944*ln2^3*z2^2 + 66144*ln2*z2^3 + 40320*li4half*z3 + 1120*ln2^4*z3 - 
    6720*ln2^2*z2*z3 - 33984*z2^2*z3 - 75720*ln2*z3^2 - 322560*ln2^2*z5 - 
    109800*z2*z5 + 424485*z7)/107520, H[-1, 1, -1, -1, -1, 1, 1, 1] -> 
  (2903040*li7half + 967680*li6half*ln2 + 161280*li5half*ln2^2 - 640*ln2^7 + 
    241920*ln2*s6 + 725760*s7a - 1048320*s7b - 161280*li5half*z2 + 
    8064*ln2^5*z2 + 51072*ln2^3*z2^2 + 22368*ln2*z2^3 - 38640*ln2^4*z3 + 
    70560*ln2^2*z2*z3 + 258048*z2^2*z3 + 602280*ln2*z3^2 + 917280*ln2^2*z5 + 
    3936240*z2*z5 - 8808345*z7)/322560, H[-1, 1, -1, -1, -1, 1, 0, 1] -> 
  (-967680*li7half - 645120*li6half*ln2 - 215040*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 1152*ln2^7 - 341760*ln2*s6 + 72960*s7a + 
    556800*s7b + 107520*li5half*z2 + 107520*li4half*ln2*z2 + 8064*ln2^5*z2 - 
    19712*ln2^3*z2^2 + 60576*ln2*z2^3 + 26880*li4half*z3 - 6160*ln2^4*z3 - 
    40320*ln2^2*z2*z3 - 139584*z2^2*z3 - 186840*ln2*z3^2 - 206640*ln2^2*z5 - 
    1867440*z2*z5 + 4096905*z7)/107520, H[-1, 1, -1, -1, -1, 1, -1, 1] -> 
  (-967680*li7half - 483840*li6half*ln2 - 161280*li5half*ln2^2 - 
    40320*li4half*ln2^3 - 800*ln2^7 - 270720*ln2*s6 + 69120*s7a + 
    472320*s7b + 161280*li5half*z2 + 120960*li4half*ln2*z2 + 6048*ln2^5*z2 - 
    32928*ln2^3*z2^2 + 31200*ln2*z2^3 - 60480*li4half*z3 - 1680*ln2^4*z3 + 
    50400*ln2^2*z2*z3 - 90432*z2^2*z3 - 262620*ln2*z3^2 - 229320*ln2^2*z5 - 
    1561320*z2*z5 + 3487545*z7)/80640, H[-1, 1, -1, -1, -1, 0, 1, 1] -> 
  (3709440*li7half + 1774080*li6half*ln2 + 322560*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 160*ln2^7 + 92160*ln2*s6 + 432000*s7a - 
    817920*s7b + 322560*li5half*z2 + 80640*li4half*ln2*z2 - 2016*ln2^5*z2 + 
    19488*ln2^3*z2^2 + 190080*ln2*z2^3 - 60480*li4half*z3 + 7560*ln2^4*z3 - 
    206640*ln2^2*z2*z3 + 229608*z2^2*z3 + 606780*ln2*z3^2 + 
    1278900*ln2^2*z5 + 1728540*z2*z5 - 6945885*z7)/161280, 
 H[-1, 1, -1, -1, -1, 0, 0, 1] -> (-967680*li7half - 645120*li6half*ln2 - 
    161280*li5half*ln2^2 + 640*ln2^7 + 190080*ln2*s6 - 472320*s7a - 
    149760*s7b + 322560*li5half*z2 + 80640*li4half*ln2*z2 - 3360*ln2^5*z2 + 
    19488*ln2^3*z2^2 + 57888*ln2*z2^3 - 40320*li4half*z3 + 5040*ln2^4*z3 + 
    10080*ln2^2*z2*z3 + 62208*z2^2*z3 - 172080*ln2*z3^2 - 229320*ln2^2*z5 + 
    349200*z2*z5 - 674595*z7)/161280, H[-1, 1, -1, -1, -1, 0, -1, 1] -> 
  (483840*li7half - 241920*li6half*ln2 - 161280*li5half*ln2^2 - 
    13440*li4half*ln2^3 + 352*ln2^7 + 28800*ln2*s6 - 391680*s7a - 
    149760*s7b + 322560*li5half*z2 + 80640*li4half*ln2*z2 - 2688*ln2^5*z2 + 
    28896*ln2^3*z2^2 + 190368*ln2*z2^3 - 40320*li4half*z3 + 5040*ln2^4*z3 - 
    70560*ln2^2*z2*z3 + 33984*z2^2*z3 + 110160*ln2*z3^2 - 73080*ln2^2*z5 + 
    109800*z2*z5 - 1553445*z7)/80640, H[-1, 1, -1, -1, -1, -1, 1, 1] -> 
  (-1612800*li7half + 161280*li5half*ln2^2 + 53760*li4half*ln2^3 + 
    1280*ln2^7 + 403200*ln2*s6 - 403200*s7a - 403200*s7b - 
    161280*li5half*z2 - 161280*li4half*ln2*z2 - 13440*ln2^5*z2 - 
    37632*ln2^3*z2^2 - 439200*ln2*z2^3 + 80640*li4half*z3 + 42000*ln2^4*z3 - 
    90720*ln2^2*z2*z3 + 48384*z2^2*z3 + 183960*ln2*z3^2 + 645120*ln2^2*z5 + 
    539280*z2*z5 + 574875*z7)/322560, H[-1, 1, -1, -1, -1, -1, 0, 1] -> 
  (161280*li7half + 80640*li6half*ln2 + 13440*li5half*ln2^2 - 32*ln2^7 - 
    53760*ln2*s6 + 67200*s7a + 224*ln2^5*z2 + 448*ln2^3*z2^2 + 
    9216*ln2*z2^3 - 1120*ln2^4*z3 + 20160*ln2^2*z2*z3 + 3360*z2^2*z3 + 
    13440*ln2*z3^2 + 51660*ln2^2*z5 + 69300*z2*z5 - 225855*z7)/26880, 
 H[-1, 1, -1, -1, -1, -1, -1, 1] -> 
  (5040*li7half + 840*li6half*ln2 + 7*ln2^5*z2 + 168*ln2^3*z2^2 + 
    960*ln2*z2^3 - 70*ln2^4*z3 - 1680*ln2^2*z5 - 5040*z7)/840, 
 H[-1, 0, 1, 1, 1, 1, 1, 1] -> (161280*li7half + 161280*li6half*ln2 + 
    80640*li5half*ln2^2 + 26880*li4half*ln2^3 + 640*ln2^7 - 80640*ln2*s6 + 
    80640*s7a + 80640*s7b - 80640*li5half*z2 - 80640*li4half*ln2*z2 - 
    5376*ln2^5*z2 + 13440*ln2^3*z2^2 + 50976*ln2*z2^3 + 141120*li4half*z3 + 
    11760*ln2^4*z3 - 70560*ln2^2*z2*z3 - 129024*z2^2*z3 + 100800*ln2*z3^2 - 
    236880*z2*z5 + 530145*z7)/161280, H[-1, 0, 1, 1, 1, 1, 0, 1] -> 
  (3840*ln2*s6 - 3840*s7a - 3840*s7b + 7680*li5half*z2 + 
    7680*li4half*ln2*z2 + 256*ln2^5*z2 - 1280*ln2^3*z2^2 - 6816*ln2*z2^3 - 
    15360*li4half*z3 - 640*ln2^4*z3 + 7200*ln2^2*z2*z3 + 8736*z2^2*z3 - 
    4680*ln2*z3^2 + 3600*z2*z5 - 18465*z7)/15360, 
 H[-1, 0, 1, 1, 1, 1, -1, 1] -> (-1290240*li7half - 241920*li6half*ln2 - 
    13440*li4half*ln2^3 - 640*ln2^7 + 123840*ln2*s6 - 83520*s7a + 
    178560*s7b - 40320*li4half*ln2*z2 + 6384*ln2^5*z2 - 9072*ln2^3*z2^2 - 
    139536*ln2*z2^3 + 30240*li4half*z3 - 1680*ln2^4*z3 + 10080*ln2^2*z2*z3 - 
    71496*z2^2*z3 - 145980*ln2*z3^2 - 253890*ln2^2*z5 - 532710*z2*z5 + 
    2215125*z7)/80640, H[-1, 0, 1, 1, 1, 0, 1, 1] -> 
  (130560*ln2*s6 + 3840*s7a - 130560*s7b + 53760*li5half*z2 + 
    53760*li4half*ln2*z2 + 1792*ln2^5*z2 - 8960*ln2^3*z2^2 + 2752*ln2*z2^3 - 
    33600*li4half*z3 - 1400*ln2^4*z3 + 31920*ln2^2*z2*z3 + 72312*z2^2*z3 - 
    46440*ln2*z3^2 + 472560*z2*z5 - 1023285*z7)/53760, 
 H[-1, 0, 1, 1, 1, 0, 0, 1] -> (17280*ln2*s6 - 17280*s7a - 17280*s7b + 
    8368*ln2*z2^3 + 20160*li4half*z3 + 840*ln2^4*z3 - 5040*ln2^2*z2*z3 - 
    14436*z2^2*z3 + 9060*ln2*z3^2 + 25980*z2*z5 - 47925*z7)/26880, 
 H[-1, 0, 1, 1, 1, 0, -1, 1] -> (115200*ln2*s6 - 249600*s7a + 19200*s7b + 
    26880*li5half*z2 + 107520*li4half*ln2*z2 + 4256*ln2^5*z2 - 
    24640*ln2^3*z2^2 + 19040*ln2*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 
    97440*ln2^2*z2*z3 + 23208*z2^2*z3 - 149040*ln2*z3^2 - 260400*ln2^2*z5 - 
    87480*z2*z5 - 159585*z7)/53760, H[-1, 0, 1, 1, 1, -1, 1, 1] -> 
  (5644800*li7half - 483840*li6half*ln2 - 403200*li5half*ln2^2 + 1568*ln2^7 - 
    766080*ln2*s6 + 443520*s7a - 1048320*s7b + 403200*li5half*z2 + 
    645120*li4half*ln2*z2 - 16800*ln2^5*z2 + 122976*ln2^3*z2^2 + 
    718560*ln2*z2^3 - 403200*li4half*z3 - 22680*ln2^4*z3 + 
    136080*ln2^2*z2*z3 + 519624*z2^2*z3 + 640080*ln2*z3^2 + 
    1445220*ln2^2*z5 + 3126060*z2*z5 - 11738475*z7)/161280, 
 H[-1, 0, 1, 1, 1, -1, 0, 1] -> (-5160960*li7half - 645120*li6half*ln2 + 
    128*ln2^7 + 547200*ln2*s6 - 466560*s7a + 622080*s7b - 241920*li5half*z2 - 
    483840*li4half*ln2*z2 - 26208*ln2^5*z2 - 77280*ln2^3*z2^2 - 
    521856*ln2*z2^3 + 302400*li4half*z3 + 12600*ln2^4*z3 - 
    110880*ln2^2*z2*z3 - 340128*z2^2*z3 - 420660*ln2*z3^2 - 
    1054620*ln2^2*z5 - 1858860*z2*z5 + 8593245*z7)/161280, 
 H[-1, 0, 1, 1, 1, -1, -1, 1] -> (-322560*li7half + 20160*li6half*ln2 + 
    20160*li5half*ln2^2 - 76*ln2^7 + 97200*ln2*s6 - 82080*s7a + 18720*s7b + 
    10080*li4half*ln2*z2 + 4116*ln2^5*z2 - 16044*ln2^3*z2^2 - 
    48780*ln2*z2^3 - 5040*li4half*z3 + 525*ln2^4*z3 + 27090*ln2^2*z2*z3 - 
    3429*z2^2*z3 - 66375*ln2*z3^2 - 107415*ln2^2*z5 - 58140*z2*z5 + 
    348570*z7)/20160, H[-1, 0, 1, 1, 0, 1, 1, 1] -> 
  (-203520*ln2*s6 - 199680*s7a + 203520*s7b + 23328*ln2*z2^3 - 
    107520*li4half*z3 - 4480*ln2^4*z3 + 26880*ln2^2*z2*z3 - 21552*z2^2*z3 - 
    97560*ln2*z3^2 - 1001040*z2*z5 + 1572975*z7)/107520, 
 H[-1, 0, 1, 1, 0, 1, 0, 1] -> (-176640*ln2*s6 + 176640*s7a + 176640*s7b - 
    5696*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 
    99000*z2^2*z3 + 98160*ln2*z3^2 - 444540*z2*z5 + 1050285*z7)/53760, 
 H[-1, 0, 1, 1, 0, 1, -1, 1] -> (-30720*ln2*s6 + 326400*s7a + 326400*s7b - 
    215040*li4half*ln2*z2 - 8960*ln2^5*z2 + 53760*ln2^3*z2^2 + 
    117408*ln2*z2^3 + 120960*li4half*z3 + 5040*ln2^4*z3 - 
    453600*ln2^2*z2*z3 - 140544*z2^2*z3 + 61080*ln2*z3^2 - 958800*z2*z5 + 
    2083455*z7)/107520, H[-1, 0, 1, 1, 0, 0, 1, 1] -> 
  (6720*ln2*s6 + 6720*s7a - 6720*s7b - 3672*ln2*z2^3 - 13440*li4half*z3 - 
    560*ln2^4*z3 + 3360*ln2^2*z2*z3 + 3360*z2^2*z3 + 3570*ln2*z3^2 + 
    44310*z2*z5 - 63735*z7)/13440, H[-1, 0, 1, 1, 0, 0, 0, 1] -> 
  (3840*ln2*s6 - 3840*s7a - 3840*s7b - 736*ln2*z2^3 + 1713*z2^2*z3 - 
    2280*ln2*z3^2 + 8865*z2*z5 - 19365*z7)/3360, 
 H[-1, 0, 1, 1, 0, 0, -1, 1] -> (31680*ln2*s6 - 45120*s7a - 18240*s7b + 
    40320*li4half*ln2*z2 + 1680*ln2^5*z2 - 10080*ln2^3*z2^2 - 
    13992*ln2*z2^3 - 33600*li4half*z3 - 1400*ln2^4*z3 + 43680*ln2^2*z2*z3 + 
    17466*z2^2*z3 - 30990*ln2*z3^2 - 26040*ln2^2*z5 + 58305*z2*z5 - 
    148710*z7)/13440, H[-1, 0, 1, 1, 0, -1, 1, 1] -> 
  (-78720*ln2*s6 + 105600*s7a - 96000*s7b - 67200*li4half*ln2*z2 - 
    2800*ln2^5*z2 + 16800*ln2^3*z2^2 - 21264*ln2*z2^3 + 23520*li4half*z3 + 
    980*ln2^4*z3 - 5880*ln2^2*z2*z3 + 7860*z2^2*z3 + 124650*ln2*z3^2 + 
    195300*ln2^2*z5 + 288300*z2*z5 - 401175*z7)/26880, 
 H[-1, 0, 1, 1, 0, -1, 0, 1] -> (-9600*ln2*s6 + 9600*s7a + 9600*s7b + 
    1112*ln2*z2^3 + 20160*li4half*z3 + 840*ln2^4*z3 - 5040*ln2^2*z2*z3 - 
    7170*z2^2*z3 + 4440*ln2*z3^2 - 33765*z2*z5 + 69150*z7)/13440, 
 H[-1, 0, 1, 1, 0, -1, -1, 1] -> (-4320*ln2*s6 + 4320*s7a - 5760*s7b - 
    3480*ln2*z2^3 - 1680*li4half*z3 - 70*ln2^4*z3 + 420*ln2^2*z2*z3 + 
    1866*z2^2*z3 + 5505*ln2*z3^2 + 19530*ln2^2*z5 + 17235*z2*z5 - 26055*z7)/
   13440, H[-1, 0, 1, 1, -1, 1, 1, 1] -> 
  (-6451200*li7half + 1451520*li6half*ln2 + 241920*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 3200*ln2^7 + 1388160*ln2*s6 - 783360*s7a + 
    1071360*s7b - 241920*li5half*z2 - 645120*li4half*ln2*z2 + 
    25536*ln2^5*z2 - 294336*ln2^3*z2^2 - 908352*ln2*z2^3 + 40320*li4half*z3 + 
    1680*ln2^4*z3 - 10080*ln2^2*z2*z3 - 323136*z2^2*z3 - 1206000*ln2*z3^2 - 
    1445220*ln2^2*z5 - 3556620*z2*z5 + 12461355*z7)/161280, 
 H[-1, 0, 1, 1, -1, 1, 0, 1] -> (10321920*li7half + 1290240*li6half*ln2 - 
    256*ln2^7 - 1835520*ln2*s6 + 2050560*s7a - 1900800*s7b - 
    53760*li5half*z2 + 107520*li4half*ln2*z2 + 21056*ln2^5*z2 + 
    244160*ln2^3*z2^2 + 812064*ln2*z2^3 + 228480*li4half*z3 + 9520*ln2^4*z3 - 
    57120*ln2^2*z2*z3 + 424176*z2^2*z3 + 2264160*ln2*z3^2 + 
    3827880*ln2^2*z5 + 5917080*z2*z5 - 18797325*z7)/107520, 
 H[-1, 0, 1, 1, -1, 1, -1, 1] -> (416640*li7half - 94080*li6half*ln2 + 
    8960*li4half*ln2^3 + 160*ln2^7 - 175200*ln2*s6 + 94560*s7a - 9600*s7b - 
    47040*li4half*ln2*z2 - 6384*ln2^5*z2 + 44856*ln2^3*z2^2 + 
    85200*ln2*z2^3 + 23520*li4half*z3 + 980*ln2^4*z3 - 63840*ln2^2*z2*z3 - 
    9084*z2^2*z3 + 116835*ln2*z3^2 + 100905*ln2^2*z5 + 31455*z2*z5 - 
    374280*z7)/13440, H[-1, 0, 1, 1, -1, 0, 1, 1] -> 
  (-1290240*li7half - 645120*li6half*ln2 - 107520*li5half*ln2^2 + 256*ln2^7 + 
    96000*ln2*s6 - 405120*s7a + 495360*s7b - 80640*li5half*z2 + 
    80640*li4half*ln2*z2 + 3136*ln2^5*z2 - 21840*ln2^3*z2^2 - 4688*ln2*z2^3 - 
    50400*li4half*z3 - 2100*ln2^4*z3 + 12600*ln2^2*z2*z3 - 119316*z2^2*z3 - 
    391530*ln2*z3^2 - 839790*ln2^2*z5 - 1323870*z2*z5 + 3439095*z7)/26880, 
 H[-1, 0, 1, 1, -1, 0, 0, 1] -> (9600*ln2*s6 + 37440*s7a - 110400*s7b - 
    26880*li5half*z2 - 26880*li4half*ln2*z2 - 896*ln2^5*z2 + 
    19600*ln2^3*z2^2 - 36536*ln2*z2^3 - 13440*li4half*z3 - 560*ln2^4*z3 + 
    3360*ln2^2*z2*z3 + 39174*z2^2*z3 + 46170*ln2*z3^2 + 143220*ln2^2*z5 + 
    334800*z2*z5 - 528945*z7)/13440, H[-1, 0, 1, 1, -1, 0, -1, 1] -> 
  (1290240*li7half + 322560*li6half*ln2 + 192*ln2^7 - 55680*ln2*s6 + 
    264000*s7a - 468480*s7b - 47040*li5half*z2 + 47040*li4half*ln2*z2 + 
    1008*ln2^5*z2 + 7168*ln2^3*z2^2 - 2960*ln2*z2^3 - 30240*li4half*z3 - 
    1260*ln2^4*z3 + 60480*ln2^2*z2*z3 + 150396*z2^2*z3 + 280335*ln2*z3^2 + 
    709590*ln2^2*z5 + 1447035*z2*z5 - 3574650*z7)/13440, 
 H[-1, 0, 1, 1, -1, -1, 1, 1] -> (1290240*li7half + 806400*li6half*ln2 + 
    241920*li5half*ln2^2 + 26880*li4half*ln2^3 - 32*ln2^7 + 293760*ln2*s6 + 
    109440*s7a - 92160*s7b - 241920*li5half*z2 - 16128*ln2^5*z2 + 
    11424*ln2^3*z2^2 + 35136*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 - 
    25200*ln2^2*z2*z3 + 23976*z2^2*z3 - 23220*ln2*z3^2 - 273420*ln2^2*z5 + 
    745740*z2*z5 - 2043855*z7)/161280, H[-1, 0, 1, 1, -1, -1, 0, 1] -> 
  (-5160960*li7half - 645120*li6half*ln2 + 128*ln2^7 + 740160*ln2*s6 - 
    840960*s7a + 1134720*s7b - 40320*li5half*z2 - 120960*li4half*ln2*z2 - 
    12768*ln2^5*z2 - 136080*ln2^3*z2^2 - 385056*ln2*z2^3 + 90720*li4half*z3 + 
    3780*ln2^4*z3 - 22680*ln2^2*z2*z3 - 359244*z2^2*z3 - 995130*ln2*z3^2 - 
    1913940*ln2^2*z5 - 3454830*z2*z5 + 10645335*z7)/80640, 
 H[-1, 0, 1, 1, -1, -1, -1, 1] -> (-241920*li7half - 241920*li6half*ln2 - 
    161280*li5half*ln2^2 - 13440*li4half*ln2^3 + 496*ln2^7 + 11520*ln2*s6 + 
    109440*s7a - 414720*s7b + 80640*li4half*ln2*z2 + 12432*ln2^5*z2 - 
    38640*ln2^3*z2^2 - 173088*ln2*z2^3 - 50400*li4half*z3 - 2100*ln2^4*z3 + 
    133560*ln2^2*z2*z3 + 145440*z2^2*z3 + 170820*ln2*z3^2 + 722610*ln2^2*z5 + 
    1234620*z2*z5 - 1900215*z7)/80640, H[-1, 0, 1, 0, 1, 1, 1, 1] -> 
  (-322560*li7half - 322560*li6half*ln2 - 161280*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 1280*ln2^7 + 218880*ln2*s6 - 37440*s7a - 
    218880*s7b + 161280*li5half*z2 + 161280*li4half*ln2*z2 + 10752*ln2^5*z2 - 
    26880*ln2^3*z2^2 - 62880*ln2*z2^3 - 282240*li4half*z3 - 23520*ln2^4*z3 + 
    141120*ln2^2*z2*z3 + 214128*z2^2*z3 - 104760*ln2*z3^2 + 824400*z2*z5 - 
    1587645*z7)/80640, H[-1, 0, 1, 0, 1, 1, 0, 1] -> 
  (17280*ln2*s6 - 17280*s7a - 17280*s7b - 26880*li5half*z2 - 
    26880*li4half*ln2*z2 - 896*ln2^5*z2 + 4480*ln2^3*z2^2 + 8816*ln2*z2^3 + 
    53760*li4half*z3 + 2240*ln2^4*z3 - 25200*ln2^2*z2*z3 - 21912*z2^2*z3 + 
    11580*ln2*z3^2 + 58425*z2*z5 - 53280*z7)/13440, 
 H[-1, 0, 1, 0, 1, 1, -1, 1] -> (1128960*li7half + 161280*li6half*ln2 + 
    26880*li4half*ln2^3 + 1120*ln2^7 - 184320*ln2*s6 - 47520*s7a - 
    239040*s7b + 20160*li4half*ln2*z2 - 4536*ln2^5*z2 + 36792*ln2^3*z2^2 + 
    98400*ln2*z2^3 - 15120*li4half*z3 + 5250*ln2^4*z3 + 123480*ln2^2*z2*z3 + 
    70236*z2^2*z3 + 172440*ln2*z3^2 + 185535*ln2^2*z5 + 708165*z2*z5 - 
    2438775*z7)/40320, H[-1, 0, 1, 0, 1, 0, 1, 1] -> 
  (-215040*ln2*s6 + 215040*s7b - 215040*li5half*z2 - 215040*li4half*ln2*z2 - 
    7168*ln2^5*z2 + 35840*ln2^3*z2^2 + 39936*ln2*z2^3 + 134400*li4half*z3 + 
    5600*ln2^4*z3 - 127680*ln2^2*z2*z3 - 103488*z2^2*z3 + 57120*ln2*z3^2 - 
    771960*z2*z5 + 1697745*z7)/53760, H[-1, 0, 1, 0, 1, 0, 0, 1] -> 
  (-12800*ln2*s6 + 12800*s7a + 12800*s7b + 2752*ln2*z2^3 - 26880*li4half*z3 - 
    1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 10544*z2^2*z3 - 9200*ln2*z3^2 - 
    11840*z2*z5 + 9635*z7)/8960, H[-1, 0, 1, 0, 1, 0, -1, 1] -> 
  (-15360*ln2*s6 + 23040*s7a + 7680*s7b - 3840*li5half*z2 - 
    15360*li4half*ln2*z2 - 608*ln2^5*z2 + 3520*ln2^3*z2^2 + 3192*ln2*z2^3 + 
    8640*li4half*z3 + 360*ln2^4*z3 - 13920*ln2^2*z2*z3 - 5442*z2^2*z3 + 
    11640*ln2*z3^2 + 14880*ln2^2*z5 - 20745*z2*z5 + 65220*z7)/1920, 
 H[-1, 0, 1, 0, 1, -1, 1, 1] -> (-3870720*li7half + 5160960*li6half*ln2 + 
    1935360*li5half*ln2^2 - 8192*ln2^7 + 2856960*ln2*s6 + 46080*s7a + 
    288000*s7b - 1935360*li5half*z2 - 1290240*li4half*ln2*z2 - 
    508032*ln2^3*z2^2 - 1594848*ln2*z2^3 + 806400*li4half*z3 + 
    80640*ln2^4*z3 - 302400*ln2^2*z2*z3 - 326736*z2^2*z3 - 930240*ln2*z3^2 - 
    468720*ln2^2*z5 - 619200*z2*z5 + 8197155*z7)/322560, 
 H[-1, 0, 1, 0, 1, -1, 0, 1] -> (-38400*ln2*s6 - 69120*s7a + 145920*s7b + 
    53760*li5half*z2 + 107520*li4half*ln2*z2 + 4032*ln2^5*z2 - 
    22400*ln2^3*z2^2 + 40400*ln2*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 + 
    40320*ln2^2*z2*z3 - 23892*z2^2*z3 - 106560*ln2*z3^2 - 208320*ln2^2*z5 - 
    359550*z2*z5 + 497205*z7)/26880, H[-1, 0, 1, 0, 1, -1, -1, 1] -> 
  (-1935360*li7half - 2580480*li6half*ln2 - 645120*li5half*ln2^2 + 
    2176*ln2^7 - 1716480*ln2*s6 + 668160*s7a + 1393920*s7b - 
    645120*li4half*ln2*z2 - 34944*ln2^5*z2 + 328608*ln2^3*z2^2 + 
    528288*ln2*z2^3 + 362880*li4half*z3 - 8400*ln2^4*z3 - 
    660240*ln2^2*z2*z3 - 552456*z2^2*z3 + 260640*ln2*z3^2 - 507780*ln2^2*z5 - 
    4117320*z2*z5 + 10003725*z7)/161280, H[-1, 0, 1, 0, 0, 1, 1, 1] -> 
  (-57600*ln2*s6 + 17280*s7a + 57600*s7b + 23648*ln2*z2^3 + 
    107520*li4half*z3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 61920*z2^2*z3 + 
    37560*ln2*z3^2 - 209520*z2*z5 + 399045*z7)/26880, 
 H[-1, 0, 1, 0, 0, 1, 0, 1] -> (3840*ln2*s6 - 3840*s7a - 3840*s7b - 
    1824*ln2*z2^3 - 7680*li4half*z3 - 320*ln2^4*z3 + 1920*ln2^2*z2*z3 + 
    5028*z2^2*z3 - 3720*ln2*z3^2 + 10515*z2*z5 - 24360*z7)/960, 
 H[-1, 0, 1, 0, 0, 1, -1, 1] -> (186240*ln2*s6 + 15360*s7a - 253440*s7b + 
    161280*li4half*ln2*z2 + 6720*ln2^5*z2 - 40320*ln2^3*z2^2 - 
    123488*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 
    117600*ln2^2*z2*z3 + 127212*z2^2*z3 - 21960*ln2*z3^2 + 260400*ln2^2*z5 + 
    752880*z2*z5 - 1369335*z7)/26880, H[-1, 0, 1, 0, 0, 0, 1, 1] -> 
  (7680*ln2*s6 + 99840*s7a - 7680*s7b + 11456*ln2*z2^3 + 107520*li4half*z3 + 
    4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 50880*z2^2*z3 + 69360*ln2*z3^2 + 
    147720*z2*z5 - 132705*z7)/26880, H[-1, 0, 1, 0, 0, 0, 0, 1] -> 
  (5120*ln2*z2^3 - 2352*z2^2*z3 - 8400*z2*z5 + 18165*z7)/4480, 
 H[-1, 0, 1, 0, 0, 0, -1, 1] -> (-38400*ln2*s6 - 69120*s7a + 145920*s7b + 
    58720*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 20160*ln2^2*z2*z3 - 
    83112*z2^2*z3 - 30960*ln2*z3^2 - 208320*ln2^2*z5 - 426540*z2*z5 + 
    725895*z7)/26880, H[-1, 0, 1, 0, 0, -1, 1, 1] -> 
  (-66240*ln2*s6 + 52800*s7a + 79680*s7b - 80640*li4half*ln2*z2 - 
    3360*ln2^5*z2 + 20160*ln2^3*z2^2 + 51248*ln2*z2^3 + 87360*li4half*z3 + 
    3640*ln2^4*z3 - 67200*ln2^2*z2*z3 - 67848*z2^2*z3 + 55920*ln2*z3^2 - 
    91140*ln2^2*z5 - 169800*z2*z5 + 390825*z7)/13440, 
 H[-1, 0, 1, 0, 0, -1, 0, 1] -> (11520*ln2*s6 - 11520*s7a - 11520*s7b - 
    3288*ln2*z2^3 - 13440*li4half*z3 - 560*ln2^4*z3 + 3360*ln2^2*z2*z3 + 
    10830*z2^2*z3 - 8100*ln2*z3^2 + 22605*z2*z5 - 57465*z7)/2240, 
 H[-1, 0, 1, 0, 0, -1, -1, 1] -> (57600*ln2*s6 - 192000*s7a + 9600*s7b + 
    80640*li4half*ln2*z2 + 3360*ln2^5*z2 - 20160*ln2^3*z2^2 - 7024*ln2*z2^3 - 
    33600*li4half*z3 - 1400*ln2^4*z3 + 78960*ln2^2*z2*z3 + 10008*z2^2*z3 - 
    82920*ln2*z3^2 - 130200*ln2^2*z5 - 34500*z2*z5 - 119325*z7)/26880, 
 H[-1, 0, 1, 0, -1, 1, 1, 1] -> (1290240*li7half + 322560*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 6016*ln2^7 - 195840*ln2*s6 - 46080*s7a + 
    679680*s7b - 322560*li5half*z2 + 322560*li4half*ln2*z2 - 5376*ln2^5*z2 + 
    59808*ln2^3*z2^2 + 327360*ln2*z2^3 + 524160*li4half*z3 + 21840*ln2^4*z3 - 
    206640*ln2^2*z2*z3 - 475128*z2^2*z3 + 39420*ln2*z3^2 - 1210860*ln2^2*z5 - 
    1511460*z2*z5 + 2177055*z7)/161280, H[-1, 0, 1, 0, -1, 1, 0, 1] -> 
  (145920*ln2*s6 - 38400*s7a - 253440*s7b + 107520*li5half*z2 - 
    896*ln2^5*z2 + 8960*ln2^3*z2^2 - 44128*ln2*z2^3 - 147840*li4half*z3 - 
    6160*ln2^4*z3 + 36960*ln2^2*z2*z3 + 161652*z2^2*z3 - 42960*ln2*z3^2 + 
    208320*ln2^2*z5 + 612180*z2*z5 - 1398315*z7)/26880, 
 H[-1, 0, 1, 0, -1, 1, -1, 1] -> (-1290240*li7half - 53760*li4half*ln2^3 - 
    1984*ln2^7 + 524160*ln2*s6 - 322560*s7a + 241920*li4half*ln2*z2 + 
    18144*ln2^5*z2 - 144144*ln2^3*z2^2 - 259680*ln2*z2^3 - 
    120960*li4half*z3 - 5040*ln2^4*z3 + 264600*ln2^2*z2*z3 + 67284*z2^2*z3 - 
    405405*ln2*z3^2 - 312480*ln2^2*z5 - 10080*z2*z5 + 951930*z7)/40320, 
 H[-1, 0, 1, 0, -1, 0, 1, 1] -> (9600*ln2*s6 - 9600*s7a - 9600*s7b + 
    107520*li5half*z2 + 53760*li4half*ln2*z2 + 1344*ln2^5*z2 - 
    4480*ln2^3*z2^2 + 14832*ln2*z2^3 - 33600*li4half*z3 - 1400*ln2^4*z3 + 
    8400*ln2^2*z2*z3 + 14730*z2^2*z3 - 12000*ln2*z3^2 - 75120*z2*z5 - 
    63375*z7)/13440, H[-1, 0, 1, 0, -1, 0, 0, 1] -> 
  (-23040*ln2*s6 + 23040*s7a + 23040*s7b + 9280*ln2*z2^3 + 26880*li4half*z3 + 
    1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 25608*z2^2*z3 + 18720*ln2*z3^2 - 
    58720*z2*z5 + 142615*z7)/8960, H[-1, 0, 1, 0, -1, 0, -1, 1] -> 
  (-26880*ln2*s6 + 26880*s7a + 26880*s7b + 26880*li5half*z2 - 
    26880*li4half*ln2*z2 - 1344*ln2^5*z2 + 8960*ln2^3*z2^2 + 21072*ln2*z2^3 + 
    16800*li4half*z3 + 700*ln2^4*z3 - 39480*ln2^2*z2*z3 - 16905*z2^2*z3 + 
    21840*ln2*z3^2 - 104790*z2*z5 + 174300*z7)/6720, 
 H[-1, 0, 1, 0, -1, -1, 1, 1] -> (645120*li7half - 967680*li6half*ln2 - 
    483840*li5half*ln2^2 - 53760*li4half*ln2^3 + 320*ln2^7 - 676800*ln2*s6 + 
    112320*s7a + 11520*s7b + 483840*li5half*z2 + 161280*li4half*ln2*z2 - 
    1344*ln2^5*z2 + 83664*ln2^3*z2^2 + 331680*ln2*z2^3 - 60480*li4half*z3 - 
    2520*ln2^4*z3 - 98280*ln2^2*z2*z3 - 8352*z2^2*z3 + 326880*ln2*z3^2 + 
    449190*ln2^2*z5 - 382230*z2*z5 - 633015*z7)/80640, 
 H[-1, 0, 1, 0, -1, -1, 0, 1] -> (19200*ln2*s6 - 19200*s7a - 19200*s7b - 
    107520*li5half*z2 - 53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 
    4480*ln2^3*z2^2 - 18368*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 
    3360*ln2^2*z2*z3 + 5436*z2^2*z3 - 4680*ln2*z3^2 + 130320*z2*z5 - 
    77505*z7)/26880, H[-1, 0, 1, 0, -1, -1, -1, 1] -> 
  (5160960*li7half + 3870720*li6half*ln2 + 1290240*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 2560*ln2^7 + 518400*ln2*s6 + 933120*s7a - 
    840960*s7b - 483840*li4half*ln2*z2 - 25536*ln2^5*z2 + 120960*ln2^3*z2^2 + 
    218976*ln2*z2^3 + 282240*li4half*z3 + 11760*ln2^4*z3 - 
    493920*ln2^2*z2*z3 + 87552*z2^2*z3 + 758160*ln2*z3^2 + 624960*ln2^2*z5 + 
    2525760*z2*z5 - 8688735*z7)/322560, H[-1, 0, 1, -1, 1, 1, 1, 1] -> 
  (846720*li7half - 403200*li6half*ln2 - 20160*li5half*ln2^2 + 
    20160*li4half*ln2^3 + 280*ln2^7 - 197280*ln2*s6 + 86400*s7a - 
    135360*s7b + 20160*li5half*z2 + 100800*li4half*ln2*z2 - 840*ln2^5*z2 + 
    44520*ln2^3*z2^2 + 150408*ln2*z2^3 + 5040*li4half*z3 - 4200*ln2^4*z3 + 
    25200*ln2^2*z2*z3 + 59076*z2^2*z3 + 153990*ln2*z3^2 + 68355*ln2^2*z5 + 
    551025*z2*z5 - 1837170*z7)/40320, H[-1, 0, 1, -1, 1, 1, 0, 1] -> 
  (-5160960*li7half - 645120*li6half*ln2 + 128*ln2^7 + 869760*ln2*s6 - 
    977280*s7a + 917760*s7b + 134400*li5half*z2 + 26880*li4half*ln2*z2 - 
    8064*ln2^5*z2 - 92960*ln2^3*z2^2 - 417216*ln2*z2^3 - 127680*li4half*z3 - 
    5320*ln2^4*z3 + 6720*ln2^2*z2*z3 - 243528*z2^2*z3 - 1061160*ln2*z3^2 - 
    1835820*ln2^2*z5 - 2962620*z2*z5 + 9408255*z7)/53760, 
 H[-1, 0, 1, -1, 1, 1, -1, 1] -> (-40320*li7half + 80640*li6half*ln2 - 
    3360*li4half*ln2^3 - 20*ln2^7 + 64080*ln2*s6 - 18720*s7a - 28800*s7b + 
    20160*li4half*ln2*z2 + 1092*ln2^5*z2 - 14784*ln2^3*z2^2 - 
    30612*ln2*z2^3 - 10080*li4half*z3 + 315*ln2^4*z3 + 24570*ln2^2*z2*z3 + 
    11619*z2^2*z3 - 18360*ln2*z3^2 + 9765*ln2^2*z5 + 84915*z2*z5 - 129015*z7)/
   6720, H[-1, 0, 1, -1, 1, 0, 1, 1] -> 
  (10321920*li7half + 5160960*li6half*ln2 + 860160*li5half*ln2^2 - 
    2048*ln2^7 - 257280*ln2*s6 + 2515200*s7a - 2914560*s7b + 
    322560*li5half*z2 - 430080*li4half*ln2*z2 - 13440*ln2^5*z2 + 
    94080*ln2^3*z2^2 + 263584*ln2*z2^3 + 268800*li4half*z3 + 11200*ln2^4*z3 - 
    248640*ln2^2*z2*z3 + 762672*z2^2*z3 + 2240160*ln2*z3^2 + 
    4843440*ln2^2*z5 + 7728240*z2*z5 - 22597185*z7)/107520, 
 H[-1, 0, 1, -1, 1, 0, 0, 1] -> (19200*ln2*s6 - 153600*s7a + 330240*s7b + 
    107520*li5half*z2 - 896*ln2^5*z2 - 51520*ln2^3*z2^2 + 145280*ln2*z2^3 - 
    30240*ln2^2*z2*z3 - 69492*z2^2*z3 - 204600*ln2*z3^2 - 468720*ln2^2*z5 - 
    1025520*z2*z5 + 1440795*z7)/26880, H[-1, 0, 1, -1, 1, 0, -1, 1] -> 
  (-2580480*li7half - 645120*li6half*ln2 - 384*ln2^7 + 128640*ln2*s6 - 
    545280*s7a + 960000*s7b + 73920*li5half*z2 - 53760*li4half*ln2*z2 - 
    168*ln2^5*z2 - 26096*ln2^3*z2^2 - 4904*ln2*z2^3 + 33600*li4half*z3 + 
    1400*ln2^4*z3 - 82740*ln2^2*z2*z3 - 287676*z2^2*z3 - 618180*ln2*z3^2 - 
    1458240*ln2^2*z5 - 2955765*z2*z5 + 7253520*z7)/13440, 
 H[-1, 0, 1, -1, 1, -1, 1, 1] -> (-826560*li7half - 30240*li5half*ln2^2 + 
    416*ln2^7 + 126000*ln2*s6 - 126000*s7a + 141120*s7b + 30240*li5half*z2 + 
    3864*ln2^5*z2 - 43680*ln2^3*z2^2 - 93276*ln2*z2^3 + 2205*ln2^4*z3 + 
    1890*ln2^2*z2*z3 - 37485*z2^2*z3 - 144270*ln2*z3^2 - 126945*ln2^2*z5 - 
    554715*z2*z5 + 1631385*z7)/20160, H[-1, 0, 1, -1, 1, -1, 0, 1] -> 
  (5160960*li7half + 645120*li6half*ln2 - 128*ln2^7 - 771840*ln2*s6 + 
    933120*s7a - 1082880*s7b - 60480*li5half*z2 + 8568*ln2^5*z2 + 
    112560*ln2^3*z2^2 + 413208*ln2*z2^3 - 34020*ln2^2*z2*z3 + 
    314352*z2^2*z3 + 1002600*ln2*z3^2 + 1953000*ln2^2*z5 + 3487455*z2*z5 - 
    10441080*z7)/40320, H[-1, 0, 1, -1, 1, -1, -1, 1] -> 
  (3548160*li7half + 322560*li6half*ln2 + 483840*li5half*ln2^2 - 4288*ln2^7 - 
    1290240*ln2*s6 + 927360*s7a + 1128960*s7b - 483840*li4half*ln2*z2 - 
    42336*ln2^5*z2 + 348096*ln2^3*z2^2 + 1000800*ln2*z2^3 + 
    302400*li4half*z3 - 5040*ln2^4*z3 - 665280*ln2^2*z2*z3 - 449568*z2^2*z3 + 
    254520*ln2*z3^2 - 1132740*ln2^2*z5 - 3322620*z2*z5 + 3344985*z7)/161280, 
 H[-1, 0, 1, -1, 0, 1, 1, 1] -> (-5160960*li7half - 3870720*li6half*ln2 - 
    1290240*li5half*ln2^2 - 215040*li4half*ln2^3 - 2560*ln2^7 - 
    1572480*ln2*s6 - 685440*s7a + 806400*s7b + 1290240*li5half*z2 - 
    5376*ln2^5*z2 + 107520*ln2^3*z2^2 + 171360*ln2*z2^3 - 80640*li4half*z3 - 
    3360*ln2^4*z3 + 50400*ln2^2*z2*z3 - 199584*z2^2*z3 + 6300*ln2*z3^2 + 
    390600*ln2^2*z5 - 4251240*z2*z5 + 9806895*z7)/161280, 
 H[-1, 0, 1, -1, 0, 1, 0, 1] -> (15360*ln2*s6 - 69120*s7a + 38400*s7b - 
    107520*li5half*z2 + 896*ln2^5*z2 - 8960*ln2^3*z2^2 - 17488*ln2*z2^3 - 
    33600*li4half*z3 - 1400*ln2^4*z3 + 38640*ln2^2*z2*z3 + 1686*z2^2*z3 - 
    56160*ln2*z3^2 - 104160*ln2^2*z5 - 1290*z2*z5 + 123615*z7)/13440, 
 H[-1, 0, 1, -1, 0, 1, -1, 1] -> (5160960*li7half + 967680*li6half*ln2 + 
    53760*li4half*ln2^3 + 2560*ln2^7 - 535680*ln2*s6 + 1059840*s7a - 
    1681920*s7b + 161280*li4half*ln2*z2 - 5376*ln2^5*z2 + 111888*ln2^3*z2^2 + 
    143424*ln2*z2^3 - 141120*li4half*z3 - 5880*ln2^4*z3 + 
    133560*ln2^2*z2*z3 + 543024*z2^2*z3 + 1181475*ln2*z3^2 + 
    2656080*ln2^2*z5 + 5026320*z2*z5 - 13240890*z7)/40320, 
 H[-1, 0, 1, -1, 0, 0, 1, 1] -> (48960*ln2*s6 + 31680*s7a + 72000*s7b - 
    215040*li5half*z2 - 53760*li4half*ln2*z2 - 448*ln2^5*z2 - 
    4480*ln2^3*z2^2 - 21912*ln2*z2^3 + 87360*li4half*z3 + 3640*ln2^4*z3 - 
    36960*ln2^2*z2*z3 - 57744*z2^2*z3 - 7020*ln2*z3^2 - 104160*ln2^2*z5 + 
    82080*z2*z5 + 290145*z7)/13440, H[-1, 0, 1, -1, 0, 0, 0, 1] -> 
  (-7680*ln2*s6 + 34560*s7a - 72960*s7b - 22504*ln2*z2^3 - 20160*li4half*z3 - 
    840*ln2^4*z3 + 5040*ln2^2*z2*z3 + 25848*z2^2*z3 + 36900*ln2*z3^2 + 
    104160*ln2^2*z5 + 199725*z2*z5 - 322155*z7)/6720, 
 H[-1, 0, 1, -1, 0, 0, -1, 1] -> (38400*ln2*s6 + 122880*s7a - 145920*s7b - 
    215040*li5half*z2 - 53760*li4half*ln2*z2 - 448*ln2^5*z2 - 
    4480*ln2^3*z2^2 - 100416*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 + 
    3360*ln2^2*z2*z3 - 1812*z2^2*z3 + 125880*ln2*z3^2 + 260400*ln2^2*z5 + 
    666780*z2*z5 - 685995*z7)/26880, H[-1, 0, 1, -1, 0, -1, 1, 1] -> 
  (322560*li6half*ln2 + 107520*li5half*ln2^2 - 448*ln2^7 + 143520*ln2*s6 + 
    31200*s7a + 74880*s7b - 107520*li5half*z2 - 94080*li4half*ln2*z2 - 
    784*ln2^5*z2 - 10808*ln2^3*z2^2 - 20544*ln2*z2^3 + 77280*li4half*z3 + 
    3220*ln2^4*z3 - 55860*ln2^2*z2*z3 - 55590*z2^2*z3 - 40800*ln2*z3^2 - 
    185535*ln2^2*z5 - 78105*z2*z5 + 382500*z7)/6720, 
 H[-1, 0, 1, -1, 0, -1, 0, 1] -> (7680*ln2*s6 - 7680*s7a - 23040*s7b + 
    15360*li5half*z2 + 7680*li4half*ln2*z2 + 192*ln2^5*z2 - 640*ln2^3*z2^2 - 
    3440*ln2*z2^3 - 16320*li4half*z3 - 680*ln2^4*z3 + 9840*ln2^2*z2*z3 + 
    13650*z2^2*z3 - 1800*ln2*z3^2 + 14880*ln2^2*z5 + 42450*z2*z5 - 115635*z7)/
   1920, H[-1, 0, 1, -1, 0, -1, -1, 1] -> 
  (-5160960*li7half - 2580480*li6half*ln2 - 430080*li5half*ln2^2 + 
    1024*ln2^7 - 51840*ln2*s6 - 1292160*s7a + 1006080*s7b + 
    134400*li4half*ln2*z2 + 2016*ln2^5*z2 - 33600*ln2^3*z2^2 - 
    230688*ln2*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 236880*ln2^2*z2*z3 - 
    262368*z2^2*z3 - 797040*ln2*z3^2 - 1614480*ln2^2*z5 - 3027180*z2*z5 + 
    9382725*z7)/53760, H[-1, 0, 1, -1, -1, 1, 1, 1] -> 
  (3870720*li7half - 2580480*li6half*ln2 - 483840*li5half*ln2^2 - 320*ln2^7 - 
    2361600*ln2*s6 + 587520*s7a - 702720*s7b + 483840*li5half*z2 - 
    14784*ln2^5*z2 + 354816*ln2^3*z2^2 + 832032*ln2*z2^3 - 
    60480*ln2^2*z2*z3 + 208080*z2^2*z3 + 1364400*ln2*z3^2 + 
    2187360*ln2^2*z5 + 1167120*z2*z5 - 6324615*z7)/322560, 
 H[-1, 0, 1, -1, -1, 1, 0, 1] -> (19200*ln2*s6 - 19200*s7a - 113280*s7b + 
    13440*li5half*z2 + 53760*li4half*ln2*z2 + 2128*ln2^5*z2 - 
    2240*ln2^3*z2^2 - 41760*ln2*z2^3 - 33600*li4half*z3 - 1400*ln2^4*z3 + 
    73920*ln2^2*z2*z3 + 49536*z2^2*z3 + 11490*ln2*z3^2 + 91140*ln2^2*z5 + 
    328770*z2*z5 - 649965*z7)/26880, H[-1, 0, 1, -1, -1, 1, -1, 1] -> 
  (-107520*li7half + 215040*li6half*ln2 + 320*ln2^7 + 209920*ln2*s6 - 
    57600*s7a - 218880*s7b + 107520*li4half*ln2*z2 + 6272*ln2^5*z2 - 
    53312*ln2^3*z2^2 - 134112*ln2*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 + 
    157920*ln2^2*z2*z3 + 97536*z2^2*z3 - 52680*ln2*z3^2 + 156240*ln2^2*z5 + 
    648000*z2*z5 - 1143285*z7)/35840, H[-1, 0, 1, -1, -1, 0, 1, 1] -> 
  (-645120*li7half - 322560*li6half*ln2 - 53760*li5half*ln2^2 + 128*ln2^7 + 
    7680*ln2*s6 - 148800*s7a + 220800*s7b - 40320*li5half*z2 - 112*ln2^5*z2 - 
    840*ln2^3*z2^2 - 3512*ln2*z2^3 - 12600*ln2^2*z2*z3 - 64320*z2^2*z3 - 
    139905*ln2*z3^2 - 341775*ln2^2*z5 - 583605*z2*z5 + 1634130*z7)/13440, 
 H[-1, 0, 1, -1, -1, 0, 0, 1] -> (-19200*ln2*s6 + 52800*s7a - 41280*s7b - 
    26880*li5half*z2 - 26880*li4half*ln2*z2 - 896*ln2^5*z2 + 
    19600*ln2^3*z2^2 - 21616*ln2*z2^3 - 3360*li4half*z3 - 140*ln2^4*z3 - 
    19320*ln2^2*z2*z3 + 12162*z2^2*z3 + 43740*ln2*z3^2 + 91140*ln2^2*z5 + 
    134595*z2*z5 - 142575*z7)/13440, H[-1, 0, 1, -1, -1, 0, -1, 1] -> 
  (10321920*li7half + 2580480*li6half*ln2 + 1536*ln2^7 - 1171200*ln2*s6 + 
    2945280*s7a - 2914560*s7b - 376320*li5half*z2 - 483840*li4half*ln2*z2 - 
    27776*ln2^5*z2 + 272384*ln2^3*z2^2 + 384352*ln2*z2^3 + 
    282240*li4half*z3 + 11760*ln2^4*z3 - 534240*ln2^2*z2*z3 + 
    701184*z2^2*z3 + 2765160*ln2*z3^2 + 5676720*ln2^2*z5 + 9115920*z2*z5 - 
    23203875*z7)/107520, H[-1, 0, 1, -1, -1, -1, 1, 1] -> 
  (430080*li7half + 645120*li6half*ln2 + 268800*li5half*ln2^2 - 
    17920*li4half*ln2^3 - 2176*ln2^7 + 345600*ln2*s6 - 76800*s7a + 
    702720*s7b - 268800*li5half*z2 - 215040*li4half*ln2*z2 - 4928*ln2^5*z2 + 
    12992*ln2^3*z2^2 + 224928*ln2*z2^3 + 147840*li4half*z3 + 6160*ln2^4*z3 - 
    319200*ln2^2*z2*z3 - 290400*z2^2*z3 - 320280*ln2*z3^2 - 
    1406160*ln2^2*z5 - 1437600*z2*z5 + 2715555*z7)/107520, 
 H[-1, 0, 1, -1, -1, -1, 0, 1] -> (-5160960*li7half - 645120*li6half*ln2 + 
    128*ln2^7 + 1025280*ln2*s6 - 904320*s7a + 345600*s7b + 80640*li5half*z2 + 
    80640*li4half*ln2*z2 - 5376*ln2^5*z2 - 161280*ln2^3*z2^2 - 
    602496*ln2*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 262080*ln2^2*z2*z3 - 
    35352*z2^2*z3 - 903600*ln2*z3^2 - 1210860*ln2^2*z5 - 1637640*z2*z5 + 
    6947595*z7)/161280, H[-1, 0, 1, -1, -1, -1, -1, 1] -> 
  (-967680*li7half - 860160*li6half*ln2 - 215040*li5half*ln2^2 + 
    17920*li4half*ln2^3 + 1536*ln2^7 - 245760*ln2*s6 + 30720*s7a - 
    211200*s7b - 53760*li4half*ln2*z2 - 4032*ln2^5*z2 + 35392*ln2^3*z2^2 - 
    135264*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 + 
    43584*z2^2*z3 + 248400*ln2*z3^2 + 624960*ln2^2*z5 + 627960*z2*z5 - 
    113985*z7)/107520, H[-1, 0, 0, 1, 1, 1, 1, 1] -> 
  (161280*li7half + 161280*li6half*ln2 + 80640*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 640*ln2^7 - 80640*ln2*s6 + 40320*s7a + 80640*s7b - 
    80640*li5half*z2 - 80640*li4half*ln2*z2 - 5376*ln2^5*z2 + 
    13440*ln2^3*z2^2 + 27936*ln2*z2^3 + 141120*li4half*z3 + 11760*ln2^4*z3 - 
    70560*ln2^2*z2*z3 - 108864*z2^2*z3 + 60480*ln2*z3^2 - 277200*z2*z5 + 
    604485*z7)/80640, H[-1, 0, 0, 1, 1, 1, 0, 1] -> 
  (-34560*ln2*s6 + 34560*s7a + 34560*s7b + 53760*li5half*z2 + 
    53760*li4half*ln2*z2 + 1792*ln2^5*z2 - 8960*ln2^3*z2^2 - 22112*ln2*z2^3 - 
    107520*li4half*z3 - 4480*ln2^4*z3 + 50400*ln2^2*z2*z3 + 50208*z2^2*z3 - 
    23160*ln2*z3^2 - 129240*z2*z5 + 118845*z7)/53760, 
 H[-1, 0, 0, 1, 1, 1, -1, 1] -> (-161280*li7half - 53760*li6half*ln2 - 
    8960*li4half*ln2^3 - 416*ln2^7 + 17280*ln2*s6 + 36480*s7a + 49920*s7b + 
    13440*li4half*ln2*z2 + 3248*ln2^5*z2 - 6272*ln2^3*z2^2 - 14400*ln2*z2^3 - 
    6720*li4half*z3 - 2240*ln2^4*z3 - 26880*ln2^2*z2*z3 - 12168*z2^2*z3 - 
    25800*ln2*z3^2 - 13020*ln2^2*z5 - 147060*z2*z5 + 463425*z7)/26880, 
 H[-1, 0, 0, 1, 1, 0, 1, 1] -> (42240*ln2*s6 - 28800*s7a - 42240*s7b + 
    26880*li5half*z2 + 26880*li4half*ln2*z2 + 896*ln2^5*z2 - 
    4480*ln2^3*z2^2 - 608*ln2*z2^3 - 16800*li4half*z3 - 700*ln2^4*z3 + 
    15960*ln2^2*z2*z3 + 22140*z2^2*z3 - 22980*ln2*z3^2 + 131220*z2*z5 - 
    320115*z7)/13440, H[-1, 0, 0, 1, 1, 0, 0, 1] -> 
  (-320*ln2*s6 + 320*s7a + 320*s7b + 56*ln2*z2^3 + 480*li4half*z3 + 
    20*ln2^4*z3 - 120*ln2^2*z2*z3 - 586*z2^2*z3 + 490*ln2*z3^2 - 1170*z2*z5 + 
    3265*z7)/320, H[-1, 0, 0, 1, 1, 0, -1, 1] -> 
  (15840*ln2*s6 - 22560*s7a - 9120*s7b + 6720*li5half*z2 + 
    6720*li4half*ln2*z2 + 224*ln2^5*z2 - 1120*ln2^3*z2^2 + 712*ln2*z2^3 - 
    3360*li4half*z3 - 140*ln2^4*z3 + 3780*ln2^2*z2*z3 + 2853*z2^2*z3 - 
    5310*ln2*z3^2 - 13020*ln2^2*z5 + 24795*z2*z5 - 74355*z7)/6720, 
 H[-1, 0, 0, 1, 1, -1, 1, 1] -> (-1935360*li7half - 645120*li6half*ln2 - 
    645120*li5half*ln2^2 + 4864*ln2^7 - 57600*ln2*s6 - 23040*s7a - 
    1071360*s7b + 645120*li5half*z2 - 322560*li4half*ln2*z2 - 
    67200*ln2^5*z2 + 162624*ln2^3*z2^2 - 88992*ln2*z2^3 + 201600*li4half*z3 - 
    15120*ln2^4*z3 + 151200*ln2^2*z2*z3 + 355392*z2^2*z3 + 268560*ln2*z3^2 + 
    1093680*ln2^2*z5 + 3101760*z2*z5 - 5210685*z7)/322560, 
 H[-1, 0, 0, 1, 1, -1, 0, 1] -> (34560*ln2*s6 - 74880*s7a + 167040*s7b - 
    26880*li5half*z2 + 224*ln2^5*z2 - 32480*ln2^3*z2^2 + 34768*ln2*z2^3 - 
    11760*ln2^2*z2*z3 - 59700*z2^2*z3 - 74700*ln2*z3^2 - 234360*ln2^2*z5 - 
    523440*z2*z5 + 958875*z7)/26880, H[-1, 0, 0, 1, 1, -1, -1, 1] -> 
  (-4515840*li7half + 645120*li6half*ln2 + 967680*li5half*ln2^2 - 
    6272*ln2^7 + 1923840*ln2*s6 - 2649600*s7a + 2430720*s7b + 
    322560*li4half*ln2*z2 + 61824*ln2^5*z2 - 287616*ln2^3*z2^2 - 
    31968*ln2*z2^3 - 161280*li4half*z3 + 16800*ln2^4*z3 - 
    100800*ln2^2*z2*z3 - 688752*z2^2*z3 - 2283840*ln2*z3^2 - 
    5390280*ln2^2*z5 - 7299000*z2*z5 + 15340005*z7)/322560, 
 H[-1, 0, 0, 1, 0, 1, 1, 1] -> (3840*ln2*s6 + 23040*s7a - 3840*s7b - 
    8096*ln2*z2^3 - 15360*li4half*z3 - 640*ln2^4*z3 + 3840*ln2^2*z2*z3 + 
    1008*z2^2*z3 + 10680*ln2*z3^2 + 38160*z2*z5 - 24495*z7)/7680, 
 H[-1, 0, 0, 1, 0, 1, 0, 1] -> (38400*ln2*s6 - 38400*s7a - 38400*s7b + 
    24000*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 
    13656*z2^2*z3 - 2640*ln2*z3^2 + 95580*z2*z5 - 257175*z7)/26880, 
 H[-1, 0, 0, 1, 0, 1, -1, 1] -> (-20160*ln2*s6 - 80640*s7a + 53760*s7b - 
    13440*li4half*ln2*z2 - 560*ln2^5*z2 + 3360*ln2^3*z2^2 + 29144*ln2*z2^3 + 
    13440*li4half*z3 + 560*ln2^4*z3 + 21840*ln2^2*z2*z3 - 17220*z2^2*z3 - 
    43050*ln2*z3^2 - 130200*ln2^2*z5 - 162120*z2*z5 + 206325*z7)/13440, 
 H[-1, 0, 0, 1, 0, 0, 1, 1] -> (-32640*ln2*s6 - 48000*s7a + 32640*s7b + 
    4176*ln2*z2^3 - 26880*li4half*z3 - 1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 
    2208*z2^2*z3 - 25980*ln2*z3^2 - 171900*z2*z5 + 251175*z7)/13440, 
 H[-1, 0, 0, 1, 0, 0, 0, 1] -> (-5120*ln2*z2^3 + 588*z2^2*z3 + 6300*z2*z5 - 
    6965*z7)/2240, H[-1, 0, 0, 1, 0, 0, -1, 1] -> 
  (3840*ln2*s6 + 23040*s7a - 30720*s7b - 12400*ln2*z2^3 - 6720*li4half*z3 - 
    280*ln2^4*z3 + 1680*ln2^2*z2*z3 + 10848*z2^2*z3 + 17460*ln2*z3^2 + 
    52080*ln2^2*z5 + 92690*z2*z5 - 143615*z7)/4480, 
 H[-1, 0, 0, 1, 0, -1, 1, 1] -> (74880*ln2*s6 - 101760*s7a - 48000*s7b + 
    188160*li4half*ln2*z2 + 7840*ln2^5*z2 - 47040*ln2^3*z2^2 - 
    80336*ln2*z2^3 - 154560*li4half*z3 - 6440*ln2^4*z3 + 129360*ln2^2*z2*z3 + 
    77808*z2^2*z3 - 109560*ln2*z3^2 + 78120*ln2^2*z5 + 9120*z2*z5 - 
    143205*z7)/26880, H[-1, 0, 0, 1, 0, -1, 0, 1] -> 
  (-23040*ln2*s6 + 23040*s7a + 23040*s7b + 3872*ln2*z2^3 + 26880*li4half*z3 + 
    1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 17208*z2^2*z3 + 13680*ln2*z3^2 - 
    27220*z2*z5 + 78425*z7)/8960, H[-1, 0, 0, 1, 0, -1, -1, 1] -> 
  (-960*ln2*s6 + 34560*s7a - 15840*s7b - 6904*ln2*z2^3 - 1680*li4half*z3 - 
    70*ln2^4*z3 + 420*ln2^2*z2*z3 + 5667*z2^2*z3 + 11070*ln2*z3^2 + 
    32550*ln2^2*z5 + 48105*z2*z5 - 55455*z7)/6720, 
 H[-1, 0, 0, 1, -1, 1, 1, 1] -> (1290240*li7half - 1935360*li6half*ln2 - 
    322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 4736*ln2^7 + 
    195840*ln2*s6 - 760320*s7a + 1578240*s7b + 322560*li5half*z2 + 
    1290240*li4half*ln2*z2 + 96768*ln2^5*z2 - 247296*ln2^3*z2^2 + 
    574560*ln2*z2^3 - 1169280*li4half*z3 - 48720*ln2^4*z3 + 
    292320*ln2^2*z2*z3 - 222912*z2^2*z3 - 1036080*ln2*z3^2 - 
    2968560*ln2^2*z5 - 4006080*z2*z5 + 5529105*z7)/322560, 
 H[-1, 0, 0, 1, -1, 1, 0, 1] -> (-44160*ln2*s6 + 111360*s7a - 184320*s7b - 
    13440*li4half*ln2*z2 - 560*ln2^5*z2 + 33600*ln2^3*z2^2 - 48712*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 + 47952*z2^2*z3 + 
    129120*ln2*z3^2 + 286440*ln2^2*z5 + 538080*z2*z5 - 894975*z7)/13440, 
 H[-1, 0, 0, 1, -1, 1, -1, 1] -> (60480*li6half*ln2 + 3360*li4half*ln2^3 + 
    224*ln2^7 + 11160*ln2*s6 + 31680*s7a - 69120*s7b - 10080*li4half*ln2*z2 - 
    2520*ln2^5*z2 + 2100*ln2^3*z2^2 - 27234*ln2*z2^3 + 5040*li4half*z3 + 
    210*ln2^4*z3 + 13860*ln2^2*z2*z3 + 19683*z2^2*z3 + 31725*ln2*z3^2 + 
    97650*ln2^2*z5 + 206190*z2*z5 - 348885*z7)/10080, 
 H[-1, 0, 0, 1, -1, 0, 1, 1] -> (-22800*ln2*s6 + 9360*s7a - 14160*s7b - 
    20160*li4half*ln2*z2 - 840*ln2^5*z2 + 5040*ln2^3*z2^2 + 278*ln2*z2^3 + 
    12600*li4half*z3 + 525*ln2^4*z3 - 3150*ln2^2*z2*z3 + 480*z2^2*z3 + 
    19575*ln2*z3^2 + 39060*ln2^2*z5 + 27630*z2*z5 - 46530*z7)/3360, 
 H[-1, 0, 0, 1, -1, 0, 0, 1] -> (9600*ln2*s6 - 23040*s7a + 30720*s7b + 
    7608*ln2*z2^3 - 3360*li4half*z3 - 140*ln2^4*z3 + 840*ln2^2*z2*z3 - 
    7824*z2^2*z3 - 24390*ln2*z3^2 - 52080*ln2^2*z5 - 87055*z2*z5 + 141165*z7)/
   2240, H[-1, 0, 0, 1, -1, 0, -1, 1] -> 
  (15360*ln2*s6 - 122880*s7a + 145920*s7b + 26880*li4half*ln2*z2 + 
    1120*ln2^5*z2 - 6720*ln2^3*z2^2 + 43376*ln2*z2^3 - 13440*li4half*z3 - 
    560*ln2^4*z3 + 3360*ln2^2*z2*z3 - 39264*z2^2*z3 - 100680*ln2*z3^2 - 
    260400*ln2^2*z5 - 430740*z2*z5 + 671085*z7)/26880, 
 H[-1, 0, 0, 1, -1, -1, 1, 1] -> (1290240*li7half - 483840*li6half*ln2 - 
    161280*li5half*ln2^2 + 53760*li4half*ln2^3 + 2656*ln2^7 - 601920*ln2*s6 + 
    259200*s7a - 789120*s7b + 161280*li5half*z2 + 161280*li4half*ln2*z2 - 
    6048*ln2^5*z2 + 60816*ln2^3*z2^2 - 144*ln2*z2^3 - 141120*li4half*z3 - 
    5880*ln2^4*z3 + 231840*ln2^2*z2*z3 + 312552*z2^2*z3 + 518040*ln2*z3^2 + 
    1523340*ln2^2*z5 + 1843020*z2*z5 - 4789215*z7)/80640, 
 H[-1, 0, 0, 1, -1, -1, 0, 1] -> (34560*ln2*s6 - 101760*s7a + 247680*s7b + 
    53760*li4half*ln2*z2 + 2240*ln2^5*z2 - 43680*ln2^3*z2^2 + 
    56240*ln2*z2^3 - 13440*li4half*z3 - 560*ln2^4*z3 + 3360*ln2^2*z2*z3 - 
    72132*z2^2*z3 - 146940*ln2*z3^2 - 338520*ln2^2*z5 - 648180*z2*z5 + 
    1109865*z7)/26880, H[-1, 0, 0, 1, -1, -1, -1, 1] -> 
  (430080*li7half + 645120*li6half*ln2 + 107520*li5half*ln2^2 - 
    71680*li4half*ln2^3 - 3072*ln2^7 + 318720*ln2*s6 - 23040*s7a + 
    326400*s7b + 161280*li4half*ln2*z2 + 21952*ln2^5*z2 - 97664*ln2^3*z2^2 + 
    57888*ln2*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 20160*ln2^2*z2*z3 - 
    62256*z2^2*z3 - 344640*ln2*z3^2 - 598920*ln2^2*z5 - 969720*z2*z5 + 
    1298685*z7)/107520, H[-1, 0, 0, 0, 1, 1, 1, 1] -> 
  (-6720*s7a + 1472*ln2*z2^3 + 3136*z2^2*z3 - 4480*ln2*z3^2 - 6720*z2*z5 - 
    5145*z7)/4480, H[-1, 0, 0, 0, 1, 1, 0, 1] -> 
  (-15360*ln2*s6 + 15360*s7a + 15360*s7b - 2432*ln2*z2^3 - 12480*z2^2*z3 + 
    9120*ln2*z3^2 - 39030*z2*z5 + 113265*z7)/13440, 
 H[-1, 0, 0, 0, 1, 1, -1, 1] -> (-36480*ln2*s6 + 103680*s7a - 71040*s7b - 
    26880*li4half*ln2*z2 - 1120*ln2^5*z2 + 16800*ln2^3*z2^2 - 
    25584*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 28560*ln2^2*z2*z3 + 
    11604*z2^2*z3 + 90120*ln2*z3^2 + 169260*ln2^2*z5 + 214140*z2*z5 - 
    279765*z7)/26880, H[-1, 0, 0, 0, 1, 0, 1, 1] -> 
  (30720*ln2*s6 + 76800*s7a - 30720*s7b - 13568*ln2*z2^3 + 6816*z2^2*z3 + 
    35520*ln2*z3^2 + 148200*z2*z5 - 182955*z7)/26880, 
 H[-1, 0, 0, 0, 1, 0, 0, 1] -> (10240*ln2*z2^3 + 4032*z2^2*z3 - 8400*z2*z5 - 
    12705*z7)/4480, H[-1, 0, 0, 0, 1, 0, -1, 1] -> 
  (-38400*ln2*s6 - 69120*s7a + 145920*s7b + 53792*ln2*z2^3 - 31368*z2^2*z3 - 
    96480*ln2*z3^2 - 208320*ln2^2*z5 - 460140*z2*z5 + 725895*z7)/26880, 
 H[-1, 0, 0, 0, 1, -1, 1, 1] -> (21760*ln2*s6 - 21760*s7a + 72320*s7b - 
    6720*ln2^3*z2^2 + 21520*ln2*z2^3 - 20160*ln2^2*z2*z3 - 25496*z2^2*z3 - 
    33920*ln2*z3^2 - 112840*ln2^2*z5 - 193680*z2*z5 + 349325*z7)/8960, 
 H[-1, 0, 0, 0, 1, -1, 0, 1] -> (-7680*ln2*s6 + 34560*s7a - 72960*s7b - 
    13592*ln2*z2^3 + 25008*z2^2*z3 + 38160*ln2*z3^2 + 104160*ln2^2*z5 + 
    208125*z2*z5 - 368460*z7)/6720, H[-1, 0, 0, 0, 1, -1, -1, 1] -> 
  (-46080*ln2*s6 + 72960*s7a - 101760*s7b - 26880*li4half*ln2*z2 - 
    1120*ln2^5*z2 + 16800*ln2^3*z2^2 - 23664*ln2*z2^3 + 13440*li4half*z3 + 
    560*ln2^4*z3 + 11760*ln2^2*z2*z3 + 30684*z2^2*z3 + 66000*ln2*z3^2 + 
    169260*ln2^2*z5 + 304380*z2*z5 - 505035*z7)/26880, 
 H[-1, 0, 0, 0, 0, 1, 1, 1] -> (-280*s7a + 48*ln2*z2^3 + 63*z2^2*z3 - 
    140*ln2*z3^2 - 280*z2*z5)/280, H[-1, 0, 0, 0, 0, 1, 0, 1] -> 
  (-2560*ln2*z2^3 - 2016*z2^2*z3 + 1050*z2*z5 + 8715*z7)/2240, 
 H[-1, 0, 0, 0, 0, 1, -1, 1] -> (1120*ln2*s6 - 640*ln2*z2^3 - 504*z2^2*z3 + 
    630*ln2*z3^2 + 2205*z7)/1120, H[-1, 0, 0, 0, 0, 0, 1, 1] -> 
  (1024*ln2*z2^3 + 1344*z2^2*z3 + 4200*z2*z5 - 13195*z7)/4480, 
 H[-1, 0, 0, 0, 0, 0, 0, 1] -> (63*z7)/64, H[-1, 0, 0, 0, 0, 0, -1, 1] -> 
  (496*ln2*z2^3 + 588*z2^2*z3 + 1050*z2*z5 - 4515*z7)/2240, 
 H[-1, 0, 0, 0, 0, -1, 1, 1] -> (-8960*s7b + 240*ln2*z2^3 + 4928*z2^2*z3 + 
    1260*ln2*z3^2 + 8680*ln2^2*z5 + 26600*z2*z5 - 57995*z7)/4480, 
 H[-1, 0, 0, 0, 0, -1, 0, 1] -> (-4960*ln2*z2^3 - 3528*z2^2*z3 - 2100*z2*z5 + 
    22575*z7)/4480, H[-1, 0, 0, 0, 0, -1, -1, 1] -> 
  (-4480*s7b - 2256*ln2*z2^3 + 728*z2^2*z3 + 4620*ln2*z3^2 + 8680*ln2^2*z5 + 
    13300*z2*z5 - 22225*z7)/4480, H[-1, 0, 0, 0, -1, 1, 1, 1] -> 
  (-69120*ln2*s6 + 42240*s7a - 145920*s7b - 53760*li4half*ln2*z2 - 
    2240*ln2^5*z2 + 23520*ln2^3*z2^2 - 19104*ln2*z2^3 + 33600*li4half*z3 + 
    1400*ln2^4*z3 + 6720*ln2^2*z2*z3 + 52536*z2^2*z3 + 78000*ln2*z3^2 + 
    247380*ln2^2*z5 + 369420*z2*z5 - 716235*z7)/26880, 
 H[-1, 0, 0, 0, -1, 1, 0, 1] -> (15360*ln2*s6 - 69120*s7a + 145920*s7b + 
    25184*ln2*z2^3 - 56064*z2^2*z3 - 73800*ln2*z3^2 - 208320*ln2^2*z5 - 
    421920*z2*z5 + 768525*z7)/13440, H[-1, 0, 0, 0, -1, 1, -1, 1] -> 
  (23040*ln2*s6 - 23040*s7a + 48640*s7b - 6720*ln2^3*z2^2 + 13648*ln2*z2^3 - 
    20160*ln2^2*z2*z3 - 18128*z2^2*z3 - 22080*ln2*z3^2 - 69440*ln2^2*z5 - 
    145120*z2*z5 + 256385*z7)/8960, H[-1, 0, 0, 0, -1, 0, 1, 1] -> 
  (38400*ln2*s6 + 69120*s7a - 38400*s7b - 12928*ln2*z2^3 + 6504*z2^2*z3 + 
    30960*ln2*z3^2 + 191760*z2*z5 - 257805*z7)/26880, 
 H[-1, 0, 0, 0, -1, 0, 0, 1] -> (1240*ln2*z2^3 + 441*z2^2*z3 - 1120*z2*z5 - 
    1190*z7)/560, H[-1, 0, 0, 0, -1, 0, -1, 1] -> 
  (-38400*ln2*s6 - 69120*s7a + 145920*s7b + 55264*ln2*z2^3 - 32712*z2^2*z3 - 
    101520*ln2*z3^2 - 208320*ln2^2*z5 - 449640*z2*z5 + 712875*z7)/26880, 
 H[-1, 0, 0, 0, -1, -1, 1, 1] -> (-32640*ln2*s6 + 72960*s7a - 34560*s7b - 
    53760*li4half*ln2*z2 - 2240*ln2^5*z2 + 23520*ln2^3*z2^2 + 7872*ln2*z2^3 + 
    33600*li4half*z3 + 1400*ln2^4*z3 - 33600*ln2^2*z2*z3 - 2832*z2^2*z3 + 
    63900*ln2*z3^2 + 39060*ln2^2*z5 + 169980*z2*z5 - 237285*z7)/26880, 
 H[-1, 0, 0, 0, -1, -1, 0, 1] -> (15360*ln2*s6 - 15360*s7a - 15360*s7b + 
    112*ln2*z2^3 + 4836*z2^2*z3 - 5760*ln2*z3^2 + 18660*z2*z5 - 51525*z7)/
   13440, H[-1, 0, 0, 0, -1, -1, -1, 1] -> 
  (-2560*ln2*s6 - 42240*s7a + 29440*s7b + 12704*ln2*z2^3 - 7232*z2^2*z3 - 
    23960*ln2*z3^2 - 52080*ln2^2*z5 - 88720*z2*z5 + 115845*z7)/17920, 
 H[-1, 0, 0, -1, 1, 1, 1, 1] -> (-215040*li7half - 53760*li5half*ln2^2 - 
    17920*li4half*ln2^3 - 256*ln2^7 - 111360*ln2*s6 + 30720*s7a - 
    157440*s7b + 53760*li5half*z2 - 107520*li4half*ln2*z2 - 5824*ln2^5*z2 + 
    24416*ln2^3*z2^2 - 39360*ln2*z2^3 + 6720*li4half*z3 + 280*ln2^4*z3 - 
    1680*ln2^2*z2*z3 + 71640*z2^2*z3 + 80820*ln2*z3^2 + 390600*ln2^2*z5 + 
    260040*z2*z5 - 439905*z7)/53760, H[-1, 0, 0, -1, 1, 1, 0, 1] -> 
  (-2400*ln2*s6 - 21120*s7a + 66240*s7b - 13440*li5half*z2 - 
    6720*li4half*ln2*z2 - 168*ln2^5*z2 - 7000*ln2^3*z2^2 + 14980*ln2*z2^3 + 
    13440*li4half*z3 + 560*ln2^4*z3 - 3360*ln2^2*z2*z3 - 26646*z2^2*z3 - 
    25455*ln2*z3^2 - 84630*ln2^2*z5 - 177570*z2*z5 + 337695*z7)/6720, 
 H[-1, 0, 0, -1, 1, 1, -1, 1] -> (645120*li7half + 26880*li4half*ln2^3 + 
    992*ln2^7 - 241920*ln2*s6 + 241920*s7a + 80640*s7b - 
    161280*li4half*ln2*z2 - 10752*ln2^5*z2 + 59472*ln2^3*z2^2 + 
    153504*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 216720*ln2^2*z2*z3 - 
    66528*z2^2*z3 + 195930*ln2*z3^2 + 156240*ln2^2*z5 - 231840*z2*z5 + 
    47565*z7)/80640, H[-1, 0, 0, -1, 1, 0, 1, 1] -> 
  (192000*ln2*s6 - 84480*s7a + 103680*s7b - 107520*li5half*z2 + 
    107520*li4half*ln2*z2 + 5376*ln2^5*z2 - 35840*ln2^3*z2^2 - 
    13568*ln2*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 + 16800*ln2^2*z2*z3 - 
    7800*z2^2*z3 - 158520*ln2*z3^2 - 312480*ln2^2*z5 - 89520*z2*z5 + 
    297315*z7)/26880, H[-1, 0, 0, -1, 1, 0, 0, 1] -> 
  (3*(-6400*ln2*s6 + 15360*s7a - 20480*s7b - 5072*ln2*z2^3 + 6028*z2^2*z3 + 
     15420*ln2*z3^2 + 34720*ln2^2*z5 + 57290*z2*z5 - 93375*z7))/4480, 
 H[-1, 0, 0, -1, 1, 0, -1, 1] -> (-15360*ln2*s6 + 122880*s7a - 145920*s7b - 
    53760*li5half*z2 - 53760*li4half*ln2*z2 - 1792*ln2^5*z2 + 
    8960*ln2^3*z2^2 - 46528*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 
    6720*ln2^2*z2*z3 + 39432*z2^2*z3 + 90600*ln2*z3^2 + 260400*ln2^2*z5 + 
    482400*z2*z5 - 685995*z7)/26880, H[-1, 0, 0, -1, 1, -1, 1, 1] -> 
  (645120*li7half + 161280*li5half*ln2^2 - 1472*ln2^7 + 172800*ln2*s6 - 
    172800*s7a + 472320*s7b - 161280*li5half*z2 + 17472*ln2^5*z2 - 
    10080*ln2^3*z2^2 + 245376*ln2*z2^3 - 120960*ln2^2*z2*z3 - 
    161496*z2^2*z3 - 256320*ln2*z3^2 - 1132740*ln2^2*z5 - 899820*z2*z5 + 
    1235925*z7)/80640, H[-1, 0, 0, -1, 1, -1, 0, 1] -> 
  (-44160*ln2*s6 + 111360*s7a - 184320*s7b + 26880*li5half*z2 - 
    224*ln2^5*z2 + 32480*ln2^3*z2^2 - 48800*ln2*z2^3 + 56352*z2^2*z3 + 
    122400*ln2*z3^2 + 286440*ln2^2*z5 + 478650*z2*z5 - 833235*z7)/13440, 
 H[-1, 0, 0, -1, 1, -1, -1, 1] -> (161280*li7half - 40320*li5half*ln2^2 + 
    304*ln2^7 - 55680*ln2*s6 + 89280*s7a - 139200*s7b - 
    20160*li4half*ln2*z2 - 3528*ln2^5*z2 + 11928*ln2^3*z2^2 - 
    13296*ln2*z2^3 + 10080*li4half*z3 + 420*ln2^4*z3 - 2520*ln2^2*z2*z3 + 
    39642*z2^2*z3 + 104250*ln2*z3^2 + 276675*ln2^2*z5 + 416040*z2*z5 - 
    839400*z7)/13440, H[-1, 0, 0, -1, 0, 1, 1, 1] -> 
  (11520*ln2*s6 + 55680*s7a - 11520*s7b - 14912*ln2*z2^3 - 14748*z2^2*z3 + 
    43140*ln2*z3^2 + 101040*z2*z5 - 63975*z7)/26880, 
 H[-1, 0, 0, -1, 0, 1, 0, 1] -> (23040*ln2*s6 - 23040*s7a - 23040*s7b + 
    128*ln2*z2^3 + 9480*z2^2*z3 - 8640*ln2*z3^2 + 64740*z2*z5 - 146535*z7)/
   8960, H[-1, 0, 0, -1, 0, 1, -1, 1] -> 
  (8640*ln2*s6 - 96000*s7a + 38400*s7b + 26880*li4half*ln2*z2 + 
    1120*ln2^5*z2 - 6720*ln2^3*z2^2 + 9136*ln2*z2^3 - 13440*li4half*z3 - 
    560*ln2^4*z3 + 48720*ln2^2*z2*z3 - 6756*z2^2*z3 - 51330*ln2*z3^2 - 
    130200*ln2^2*z5 - 117000*z2*z5 + 123825*z7)/13440, 
 H[-1, 0, 0, -1, 0, 0, 1, 1] -> (-7680*ln2*s6 - 5760*s7a + 7680*s7b + 
    1600*ln2*z2^3 - 1998*z2^2*z3 - 2790*ln2*z3^2 - 32430*z2*z5 + 51155*z7)/
   2240, H[-1, 0, 0, -1, 0, 0, 0, 1] -> 
  (-9920*ln2*z2^3 - 1176*z2^2*z3 + 13440*z2*z5 - 8295*z7)/4480, 
 H[-1, 0, 0, -1, 0, 0, -1, 1] -> (3840*ln2*s6 + 23040*s7a - 30720*s7b - 
    11408*ln2*z2^3 + 8412*z2^2*z3 + 19980*ln2*z3^2 + 52080*ln2^2*z5 + 
    95490*z2*z5 - 148725*z7)/4480, H[-1, 0, 0, -1, 0, -1, 1, 1] -> 
  (13440*ln2*s6 - 26880*s7a - 26880*s7b + 53760*li4half*ln2*z2 + 
    2240*ln2^5*z2 - 13440*ln2^3*z2^2 - 24728*ln2*z2^3 - 33600*li4half*z3 - 
    1400*ln2^4*z3 + 33600*ln2^2*z2*z3 + 25704*z2^2*z3 - 26460*ln2*z3^2 + 
    65100*ln2^2*z5 + 13860*z2*z5 - 74235*z7)/13440, 
 H[-1, 0, 0, -1, 0, -1, 0, 1] -> (-2560*ln2*s6 + 2560*s7a + 2560*s7b - 
    672*ln2*z2^3 - 1464*z2^2*z3 + 2304*ln2*z3^2 + 12*z2*z5 + 5875*z7)/1792, 
 H[-1, 0, 0, -1, 0, -1, -1, 1] -> (7680*ln2*s6 + 126720*s7a - 101760*s7b - 
    46928*ln2*z2^3 + 21696*z2^2*z3 + 92040*ln2*z3^2 + 182280*ln2^2*z5 + 
    306060*z2*z5 - 407175*z7)/26880, H[-1, 0, 0, -1, -1, 1, 1, 1] -> 
  (-1935360*li7half + 2580480*li6half*ln2 + 322560*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 3200*ln2^7 + 1509120*ln2*s6 + 264960*s7a - 
    541440*s7b - 322560*li5half*z2 - 322560*li4half*ln2*z2 - 18816*ln2^5*z2 - 
    166656*ln2^3*z2^2 - 838944*ln2*z2^3 - 161280*li4half*z3 + 
    16800*ln2^4*z3 + 40320*ln2^2*z2*z3 + 265536*z2^2*z3 - 371880*ln2*z3^2 + 
    390600*ln2^2*z5 + 2006280*z2*z5 - 1051515*z7)/322560, 
 H[-1, 0, 0, -1, -1, 1, 0, 1] -> (22080*ln2*s6 - 55680*s7a + 65280*s7b - 
    13440*li5half*z2 - 13440*li4half*ln2*z2 - 448*ln2^5*z2 - 
    12880*ln2^3*z2^2 + 20560*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 
    840*ln2^2*z2*z3 - 34896*z2^2*z3 - 30960*ln2*z3^2 - 117180*ln2^2*z5 - 
    179685*z2*z5 + 322485*z7)/13440, H[-1, 0, 0, -1, -1, 1, -1, 1] -> 
  (26880*li7half - 107520*li6half*ln2 + 4480*li4half*ln2^3 + 32*ln2^7 - 
    39840*ln2*s6 - 67680*s7a + 49920*s7b - 6720*li4half*ln2*z2 + 
    952*ln2^5*z2 + 9408*ln2^3*z2^2 + 36312*ln2*z2^3 + 3360*li4half*z3 - 
    840*ln2^4*z3 - 3360*ln2^2*z2*z3 - 21954*z2^2*z3 - 75*ln2*z3^2 - 
    113925*ln2^2*z5 - 150315*z2*z5 + 202185*z7)/13440, 
 H[-1, 0, 0, -1, -1, 0, 1, 1] -> (-6720*ln2*s6 - 6720*s7a + 6720*s7b - 
    26880*li5half*z2 + 224*ln2^5*z2 - 2240*ln2^3*z2^2 - 5624*ln2*z2^3 + 
    11760*ln2^2*z2*z3 + 1134*z2^2*z3 - 13230*ln2*z3^2 - 6930*z2*z5 + 
    42945*z7)/13440, H[-1, 0, 0, -1, -1, 0, 0, 1] -> 
  (-640*ln2*s6 + 640*s7a + 640*s7b + 112*ln2*z2^3 - 104*z2^2*z3 - 
    1720*z2*z5 + 3355*z7)/640, H[-1, 0, 0, -1, -1, 0, -1, 1] -> 
  (-72960*ln2*s6 + 126720*s7a + 19200*s7b - 53760*li5half*z2 + 448*ln2^5*z2 - 
    4480*ln2^3*z2^2 - 5536*ln2*z2^3 + 23520*ln2^2*z2*z3 + 21696*z2^2*z3 - 
    57480*ln2*z3^2 + 104160*ln2^2*z5 - 540*z2*z5 + 129585*z7)/53760, 
 H[-1, 0, 0, -1, -1, -1, 1, 1] -> (-1505280*li7half + 430080*li6half*ln2 + 
    215040*li5half*ln2^2 - 896*ln2^7 + 529920*ln2*s6 - 341760*s7a + 
    249600*s7b - 215040*li5half*z2 + 107520*li4half*ln2*z2 + 8960*ln2^5*z2 - 
    104384*ln2^3*z2^2 - 302112*ln2*z2^3 - 67200*li4half*z3 - 10640*ln2^4*z3 + 
    178080*ln2^2*z2*z3 - 3216*z2^2*z3 - 561600*ln2*z3^2 - 598920*ln2^2*z5 - 
    725640*z2*z5 + 2709825*z7)/107520, H[-1, 0, 0, -1, -1, -1, 0, 1] -> 
  (-8640*ln2*s6 + 8640*s7a + 8640*s7b + 13440*li5half*z2 - 112*ln2^5*z2 + 
    1120*ln2^3*z2^2 + 1304*ln2*z2^3 - 5880*ln2^2*z2*z3 - 6432*z2^2*z3 + 
    14160*ln2*z3^2 - 21705*z2*z5 + 37980*z7)/13440, 
 H[-1, 0, 0, -1, -1, -1, -1, 1] -> (-967680*li7half - 645120*li6half*ln2 - 
    161280*li5half*ln2^2 + 640*ln2^7 - 195840*ln2*s6 + 155520*s7a + 
    115200*s7b - 4032*ln2^5*z2 - 67392*ln2*z2^3 + 11760*ln2^4*z3 - 
    21024*z2^2*z3 - 12240*ln2*z3^2 + 156240*ln2^2*z5 - 337140*z2*z5 + 
    1683765*z7)/161280, H[-1, 0, -1, 1, 1, 1, 1, 1] -> 
  (-161280*li7half + 53760*li6half*ln2 - 13440*li5half*ln2^2 - 
    4480*li4half*ln2^3 + 32*ln2^7 - 13440*ln2*s6 + 26880*s7b + 
    13440*li5half*z2 - 13440*li4half*ln2*z2 - 784*ln2^5*z2 - 
    3696*ln2^3*z2^2 - 22128*ln2*z2^3 - 6720*li4half*z3 + 2660*ln2^4*z3 - 
    15960*ln2^2*z2*z3 - 25788*z2^2*z3 + 3570*ln2*z3^2 + 39060*ln2^2*z5 - 
    144900*z2*z5 + 439215*z7)/26880, H[-1, 0, -1, 1, 1, 1, 0, 1] -> 
  (10321920*li7half + 1290240*li6half*ln2 - 256*ln2^7 - 1451520*ln2*s6 + 
    1290240*s7a - 403200*s7b - 645120*li5half*z2 - 322560*li4half*ln2*z2 + 
    8064*ln2^5*z2 + 141120*ln2^3*z2^2 + 1199520*ln2*z2^3 + 
    403200*li4half*z3 + 16800*ln2^4*z3 - 372960*ln2^2*z2*z3 + 
    180432*z2^2*z3 + 1247400*ln2*z3^2 + 1640520*ln2^2*z5 + 2023560*z2*z5 - 
    12002445*z7)/322560, H[-1, 0, -1, 1, 1, 1, -1, 1] -> 
  (3386880*li7half + 26880*li4half*ln2^3 + 448*ln2^7 - 823680*ln2*s6 + 
    823680*s7a - 264960*s7b - 241920*li4half*ln2*z2 - 22848*ln2^5*z2 + 
    147840*ln2^3*z2^2 + 514944*ln2*z2^3 + 120960*li4half*z3 - 
    12600*ln2^4*z3 - 347760*ln2^2*z2*z3 + 34344*z2^2*z3 + 659160*ln2*z3^2 + 
    1054620*ln2^2*z5 + 812340*z2*z5 - 4047075*z7)/161280, 
 H[-1, 0, -1, 1, 1, 0, 1, 1] -> (-2580480*li7half - 1290240*li6half*ln2 - 
    215040*li5half*ln2^2 + 512*ln2^7 + 184320*ln2*s6 - 614400*s7a + 
    218880*s7b - 107520*li5half*z2 + 241920*li4half*ln2*z2 + 9184*ln2^5*z2 - 
    59360*ln2^3*z2^2 - 229696*ln2*z2^3 - 141120*li4half*z3 - 5880*ln2^4*z3 + 
    337680*ln2^2*z2*z3 + 14520*z2^2*z3 - 511800*ln2*z3^2 - 742140*ln2^2*z5 - 
    324180*z2*z5 + 2702955*z7)/53760, H[-1, 0, -1, 1, 1, 0, 0, 1] -> 
  (-82560*ln2*s6 + 122880*s7a - 65280*s7b - 53760*li5half*z2 - 
    26880*li4half*ln2*z2 - 672*ln2^5*z2 + 32480*ln2^3*z2^2 - 33856*ln2*z2^3 + 
    53760*li4half*z3 + 2240*ln2^4*z3 - 53760*ln2^2*z2*z3 - 41208*z2^2*z3 + 
    154860*ln2*z3^2 + 182280*ln2^2*z5 + 209400*z2*z5 - 73635*z7)/26880, 
 H[-1, 0, -1, 1, 1, 0, -1, 1] -> (645120*li7half + 161280*li6half*ln2 + 
    96*ln2^7 - 37920*ln2*s6 + 132000*s7a - 234240*s7b - 20160*li5half*z2 - 
    504*ln2^5*z2 + 9744*ln2^3*z2^2 + 8000*ln2*z2^3 + 10710*ln2^2*z2*z3 + 
    65748*z2^2*z3 + 160485*ln2*z3^2 + 354795*ln2^2*z5 + 725145*z2*z5 - 
    1787325*z7)/6720, H[-1, 0, -1, 1, 1, -1, 1, 1] -> 
  (-1612800*li7half + 134400*li5half*ln2^2 - 800*ln2^7 + 543360*ln2*s6 - 
    449280*s7a + 195840*s7b - 134400*li5half*z2 + 80640*li4half*ln2*z2 + 
    19040*ln2^5*z2 - 98560*ln2^3*z2^2 - 204864*ln2*z2^3 - 40320*li4half*z3 - 
    7560*ln2^4*z3 + 257040*ln2^2*z2*z3 - 9432*z2^2*z3 - 543960*ln2*z3^2 - 
    950460*ln2^2*z5 - 269940*z2*z5 + 1833075*z7)/53760, 
 H[-1, 0, -1, 1, 1, -1, 0, 1] -> (-17760*ln2*s6 + 17760*s7a + 7680*s7b + 
    20160*li5half*z2 - 6720*li4half*ln2*z2 - 448*ln2^5*z2 + 8400*ln2^3*z2^2 + 
    5364*ln2*z2^3 + 3360*li4half*z3 + 140*ln2^4*z3 - 21630*ln2^2*z2*z3 - 
    7962*z2^2*z3 + 25560*ln2*z3^2 + 9765*ln2^2*z5 - 64665*z2*z5 + 107505*z7)/
   6720, H[-1, 0, -1, 1, 1, -1, -1, 1] -> 
  (147840*li7half + 26880*li6half*ln2 - 13440*li5half*ln2^2 + 120*ln2^7 - 
    1440*ln2*s6 - 5280*s7a - 62400*s7b - 2744*ln2^5*z2 + 4928*ln2^3*z2^2 + 
    2256*ln2*z2^3 + 1470*ln2^4*z3 - 11340*ln2^2*z2*z3 + 14748*z2^2*z3 + 
    48105*ln2*z3^2 + 97650*ln2^2*z5 + 185085*z2*z5 - 476985*z7)/13440, 
 H[-1, 0, -1, 1, 0, 1, 1, 1] -> (10321920*li7half + 7741440*li6half*ln2 + 
    2580480*li5half*ln2^2 + 430080*li4half*ln2^3 + 5120*ln2^7 + 
    1658880*ln2*s6 + 2373120*s7a - 126720*s7b - 2580480*li5half*z2 - 
    1451520*li4half*ln2*z2 - 49728*ln2^5*z2 + 147840*ln2^3*z2^2 + 
    260640*ln2*z2^3 + 1008000*li4half*z3 + 42000*ln2^4*z3 - 
    1582560*ln2^2*z2*z3 - 563328*z2^2*z3 + 1010880*ln2*z3^2 - 
    781200*ln2^2*z5 + 3653280*z2*z5 - 9324225*z7)/322560, 
 H[-1, 0, -1, 1, 0, 1, 0, 1] -> (38400*ln2*s6 + 15360*s7a - 92160*s7b + 
    107520*li5half*z2 + 80640*li4half*ln2*z2 + 2464*ln2^5*z2 - 
    11200*ln2^3*z2^2 - 18616*ln2*z2^3 - 13440*li4half*z3 - 560*ln2^4*z3 + 
    43680*ln2^2*z2*z3 + 37836*z2^2*z3 + 9120*ln2*z3^2 + 104160*ln2^2*z5 + 
    167610*z2*z5 - 486705*z7)/13440, H[-1, 0, -1, 1, 0, 1, -1, 1] -> 
  (-2580480*li7half - 483840*li6half*ln2 - 26880*li4half*ln2^3 - 1280*ln2^7 + 
    378720*ln2*s6 - 610560*s7a + 760320*s7b + 40320*li4half*ln2*z2 + 
    7728*ln2^5*z2 - 86184*ln2^3*z2^2 - 120888*ln2*z2^3 + 30240*ln2^2*z2*z3 - 
    213552*z2^2*z3 - 666180*ln2*z3^2 - 1328040*ln2^2*z5 - 2276280*z2*z5 + 
    6096915*z7)/20160, H[-1, 0, -1, 1, 0, 0, 1, 1] -> 
  (-107520*ln2*s6 - 53760*s7a - 134400*s7b + 430080*li5half*z2 + 
    107520*li4half*ln2*z2 + 896*ln2^5*z2 + 8960*ln2^3*z2^2 + 46128*ln2*z2^3 - 
    174720*li4half*z3 - 7280*ln2^4*z3 + 73920*ln2^2*z2*z3 + 113232*z2^2*z3 + 
    13440*ln2*z3^2 + 208320*ln2^2*z5 - 158760*z2*z5 - 582225*z7)/26880, 
 H[-1, 0, -1, 1, 0, 0, 0, 1] -> (15360*ln2*s6 - 69120*s7a + 145920*s7b + 
    39616*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 - 10080*ln2^2*z2*z3 - 
    53628*z2^2*z3 - 76320*ln2*z3^2 - 208320*ln2^2*z5 - 406170*z2*z5 + 
    674445*z7)/13440, H[-1, 0, -1, 1, 0, 0, -1, 1] -> 
  (-38400*ln2*s6 - 122880*s7a + 145920*s7b + 215040*li5half*z2 + 
    53760*li4half*ln2*z2 + 448*ln2^5*z2 + 4480*ln2^3*z2^2 + 97488*ln2*z2^3 - 
    107520*li4half*z3 - 4480*ln2^4*z3 - 3360*ln2^2*z2*z3 - 3312*z2^2*z3 - 
    113280*ln2*z3^2 - 260400*ln2^2*z5 - 649980*z2*z5 + 671085*z7)/26880, 
 H[-1, 0, -1, 1, 0, -1, 1, 1] -> 
  (-322560*li6half*ln2 - 107520*li5half*ln2^2 + 448*ln2^7 - 179040*ln2*s6 + 
    4320*s7a - 59520*s7b + 107520*li5half*z2 + 53760*li4half*ln2*z2 - 
    896*ln2^5*z2 + 20888*ln2^3*z2^2 + 32424*ln2*z2^3 - 53760*li4half*z3 - 
    2240*ln2^4*z3 + 23520*ln2^2*z2*z3 + 38952*z2^2*z3 + 74280*ln2*z3^2 + 
    205065*ln2^2*z5 + 33615*z2*z5 - 260100*z7)/6720, 
 H[-1, 0, -1, 1, 0, -1, 0, 1] -> (107520*s7b - 107520*li5half*z2 + 
    26880*li4half*ln2*z2 + 2016*ln2^5*z2 - 15680*ln2^3*z2^2 - 
    12056*ln2*z2^3 + 67200*li4half*z3 + 2800*ln2^4*z3 + 13440*ln2^2*z2*z3 - 
    56532*z2^2*z3 - 33600*ln2*z3^2 - 104160*ln2^2*z5 - 147630*z2*z5 + 
    475755*z7)/13440, H[-1, 0, -1, 1, 0, -1, -1, 1] -> 
  (10321920*li7half + 5160960*li6half*ln2 + 860160*li5half*ln2^2 - 
    2048*ln2^7 + 437760*ln2*s6 + 2250240*s7a - 2507520*s7b + 
    215040*li4half*ln2*z2 + 16128*ln2^5*z2 - 53760*ln2^3*z2^2 + 
    195936*ln2*z2^3 - 161280*li4half*z3 - 6720*ln2^4*z3 + 20160*ln2^2*z2*z3 + 
    799200*z2^2*z3 + 1410000*ln2*z3^2 + 3541440*ln2^2*z5 + 7514520*z2*z5 - 
    21785175*z7)/107520, H[-1, 0, -1, 1, -1, 1, 1, 1] -> 
  (3306240*li7half - 645120*li6half*ln2 - 120960*li5half*ln2^2 - 544*ln2^7 - 
    1048320*ln2*s6 + 745920*s7a - 322560*s7b + 120960*li5half*z2 - 
    120960*li4half*ln2*z2 - 24192*ln2^5*z2 + 244272*ln2^3*z2^2 + 
    554544*ln2*z2^3 + 60480*li4half*z3 + 2520*ln2^4*z3 - 362880*ln2^2*z2*z3 + 
    7056*z2^2*z3 + 931140*ln2*z3^2 + 976500*ln2^2*z5 + 1039500*z2*z5 - 
    4470165*z7)/80640, H[-1, 0, -1, 1, -1, 1, 0, 1] -> 
  (-1290240*li7half - 161280*li6half*ln2 + 32*ln2^7 + 192960*ln2*s6 - 
    233280*s7a + 270720*s7b - 2016*ln2^5*z2 - 29400*ln2^3*z2^2 - 
    104184*ln2*z2^3 + 15120*ln2^2*z2*z3 - 74430*z2^2*z3 - 267030*ln2*z3^2 - 
    488250*ln2^2*z5 - 816030*z2*z5 + 2528685*z7)/10080, 
 H[-1, 0, -1, 1, -1, 1, -1, 1] -> (-645120*li7half + 120960*li6half*ln2 + 
    296*ln2^7 + 201600*ln2*s6 - 80640*s7a + 80640*s7b + 4872*ln2^5*z2 - 
    46200*ln2^3*z2^2 - 96552*ln2*z2^3 + 15120*ln2^2*z2*z3 - 21420*z2^2*z3 - 
    139545*ln2*z3^2 - 156240*ln2^2*z5 - 241920*z2*z5 + 999180*z7)/20160, 
 H[-1, 0, -1, 1, -1, 0, 1, 1] -> (645120*li7half + 322560*li6half*ln2 + 
    53760*li5half*ln2^2 - 128*ln2^7 + 22560*ln2*s6 + 118560*s7a - 
    220800*s7b + 13440*li4half*ln2*z2 + 1008*ln2^5*z2 - 5880*ln2^3*z2^2 - 
    6208*ln2*z2^3 - 6720*li4half*z3 - 280*ln2^4*z3 + 34440*ln2^2*z2*z3 + 
    71460*z2^2*z3 + 106200*ln2*z3^2 + 302715*ln2^2*z5 + 634005*z2*z5 - 
    1693980*z7)/6720, H[-1, 0, -1, 1, -1, 0, 0, 1] -> 
  (19200*ln2*s6 - 153600*s7a + 330240*s7b + 107520*li5half*z2 - 
    896*ln2^5*z2 - 51520*ln2^3*z2^2 + 135376*ln2*z2^3 - 30240*ln2^2*z2*z3 - 
    103344*z2^2*z3 - 178560*ln2*z3^2 - 468720*ln2^2*z5 - 1049040*z2*z5 + 
    1593675*z7)/26880, H[-1, 0, -1, 1, -1, 0, -1, 1] -> 
  (-645120*li7half - 161280*li6half*ln2 - 96*ln2^7 + 59040*ln2*s6 - 
    163200*s7a + 213120*s7b + 13440*li5half*z2 + 6720*li4half*ln2*z2 + 
    840*ln2^5*z2 - 11984*ln2^3*z2^2 - 13468*ln2*z2^3 - 3360*li4half*z3 - 
    140*ln2^4*z3 + 2100*ln2^2*z2*z3 - 59802*z2^2*z3 - 164520*ln2*z3^2 - 
    364560*ln2^2*z5 - 650610*z2*z5 + 1638975*z7)/3360, 
 H[-1, 0, -1, 1, -1, -1, 1, 1] -> (-161280*li7half - 107520*li6half*ln2 - 
    26880*li5half*ln2^2 + 8960*li4half*ln2^3 + 480*ln2^7 - 28160*ln2*s6 - 
    48000*s7a - 88320*s7b + 26880*li5half*z2 + 53760*li4half*ln2*z2 + 
    2464*ln2^5*z2 - 11648*ln2^3*z2^2 - 49568*ln2*z2^3 - 40320*li4half*z3 - 
    1680*ln2^4*z3 + 80640*ln2^2*z2*z3 + 52272*z2^2*z3 - 7920*ln2*z3^2 + 
    156240*ln2^2*z5 + 143520*z2*z5 - 237285*z7)/17920, 
 H[-1, 0, -1, 1, -1, -1, 0, 1] -> (10321920*li7half + 1290240*li6half*ln2 - 
    256*ln2^7 - 1708800*ln2*s6 + 2058240*s7a - 2000640*s7b + 
    107520*li5half*z2 + 215040*li4half*ln2*z2 + 24192*ln2^5*z2 + 
    210560*ln2^3*z2^2 + 779616*ln2*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 - 
    3360*ln2^2*z2*z3 + 561744*z2^2*z3 + 2152800*ln2*z3^2 + 3932040*ln2^2*z5 + 
    6291840*z2*z5 - 19724595*z7)/107520, H[-1, 0, -1, 1, -1, -1, -1, 1] -> 
  (215040*li7half + 215040*li6half*ln2 + 107520*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 1760*ln2^7 + 97920*ln2*s6 - 84480*s7a + 
    264960*s7b + 107520*li4half*ln2*z2 + 3136*ln2^5*z2 - 23744*ln2^3*z2^2 + 
    74016*ln2*z2^3 - 53760*li4half*z3 - 2240*ln2^4*z3 + 13440*ln2^2*z2*z3 - 
    48960*z2^2*z3 - 240000*ln2*z3^2 - 494760*ln2^2*z5 - 789240*z2*z5 + 
    1108335*z7)/53760, H[-1, 0, -1, 0, 1, 1, 1, 1] -> 
  (-645120*li7half - 645120*li6half*ln2 - 322560*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 2560*ln2^7 + 403200*ln2*s6 - 564480*s7a - 
    403200*s7b + 322560*li5half*z2 + 564480*li4half*ln2*z2 + 31584*ln2^5*z2 - 
    114240*ln2^3*z2^2 - 144096*ln2*z2^3 - 705600*li4half*z3 - 
    52920*ln2^4*z3 + 529200*ln2^2*z2*z3 + 586152*z2^2*z3 - 568260*ln2*z3^2 + 
    1023120*z2*z5 - 2922885*z7)/161280, H[-1, 0, -1, 0, 1, 1, 0, 1] -> 
  (-34560*ln2*s6 + 34560*s7a + 34560*s7b - 53760*li5half*z2 - 
    53760*li4half*ln2*z2 - 1792*ln2^5*z2 + 8960*ln2^3*z2^2 + 11888*ln2*z2^3 + 
    107520*li4half*z3 + 4480*ln2^4*z3 - 50400*ln2^2*z2*z3 - 82680*z2^2*z3 + 
    65040*ln2*z3^2 - 58260*z2*z5 + 333255*z7)/26880, 
 H[-1, 0, -1, 0, 1, 1, -1, 1] -> (4515840*li7half + 645120*li6half*ln2 + 
    107520*li4half*ln2^3 + 4480*ln2^7 - 1071360*ln2*s6 + 829440*s7a - 
    1186560*s7b - 483840*li4half*ln2*z2 - 41664*ln2^5*z2 + 
    258048*ln2^3*z2^2 + 375936*ln2*z2^3 + 241920*li4half*z3 + 
    33600*ln2^4*z3 - 80640*ln2^2*z2*z3 + 192960*z2^2*z3 + 1438740*ln2*z3^2 + 
    1953000*ln2^2*z5 + 3548520*z2*z5 - 9956565*z7)/161280, 
 H[-1, 0, -1, 0, 1, 0, 1, 1] -> (-90240*ln2*s6 + 90240*s7a + 90240*s7b - 
    53760*li5half*z2 - 134400*li4half*ln2*z2 - 5152*ln2^5*z2 + 
    29120*ln2^3*z2^2 + 35016*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 
    114240*ln2^2*z2*z3 - 64248*z2^2*z3 + 83400*ln2*z3^2 - 251220*z2*z5 + 
    652215*z7)/13440, H[-1, 0, -1, 0, 1, 0, 0, 1] -> 
  (23040*ln2*s6 - 23040*s7a - 23040*s7b + 1504*ln2*z2^3 - 26880*li4half*z3 - 
    1120*ln2^4*z3 + 6720*ln2^2*z2*z3 + 30592*z2^2*z3 - 27120*ln2*z3^2 + 
    76640*z2*z5 - 206805*z7)/8960, H[-1, 0, -1, 0, 1, 0, -1, 1] -> 
  (-26880*ln2*s6 + 26880*s7a + 26880*s7b - 13440*li5half*z2 - 
    13440*li4half*ln2*z2 - 448*ln2^5*z2 + 2240*ln2^3*z2^2 + 4740*ln2*z2^3 + 
    6720*li4half*z3 + 280*ln2^4*z3 - 7560*ln2^2*z2*z3 - 7182*z2^2*z3 - 
    1680*ln2*z3^2 - 75495*z2*z5 + 174300*z7)/6720, 
 H[-1, 0, -1, 0, 1, -1, 1, 1] -> (-1935360*li7half + 2580480*li6half*ln2 + 
    967680*li5half*ln2^2 - 4096*ln2^7 + 1635840*ln2*s6 - 184320*s7a + 
    1831680*s7b - 967680*li5half*z2 - 645120*li4half*ln2*z2 - 
    193536*ln2^3*z2^2 - 275808*ln2*z2^3 + 403200*li4half*z3 + 
    40320*ln2^4*z3 - 967680*ln2^2*z2*z3 - 784656*z2^2*z3 - 966240*ln2*z3^2 - 
    2656080*ln2^2*z5 - 4740480*z2*z5 + 12351825*z7)/161280, 
 H[-1, 0, -1, 0, 1, -1, 0, 1] -> (-38400*ln2*s6 + 38400*s7a - 176640*s7b + 
    53760*li5half*z2 - 53760*li4half*ln2*z2 - 2688*ln2^5*z2 + 
    17920*ln2^3*z2^2 + 2800*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 + 
    16800*ln2^2*z2*z3 + 53136*z2^2*z3 + 61440*ln2*z3^2 + 208320*ln2^2*z5 + 
    547440*z2*z5 - 1088715*z7)/26880, H[-1, 0, -1, 0, 1, -1, -1, 1] -> 
  (-3870720*li7half - 5160960*li6half*ln2 - 1290240*li5half*ln2^2 + 
    4352*ln2^7 - 3110400*ln2*s6 + 1336320*s7a + 288000*s7b - 
    967680*li4half*ln2*z2 - 56448*ln2^5*z2 + 516096*ln2^3*z2^2 + 
    234528*ln2*z2^3 + 483840*li4half*z3 - 26880*ln2^4*z3 + 
    100800*ln2^2*z2*z3 - 204768*z2^2*z3 + 1095840*ln2*z3^2 + 
    1406160*ln2^2*z5 - 813240*z2*z5 + 6377085*z7)/322560, 
 H[-1, 0, -1, 0, 0, 1, 1, 1] -> (-5760*ln2*s6 - 27840*s7a + 5760*s7b + 
    40320*li4half*ln2*z2 + 1680*ln2^5*z2 - 10080*ln2^3*z2^2 - 3616*ln2*z2^3 + 
    30240*li4half*z3 + 1260*ln2^4*z3 + 27720*ln2^2*z2*z3 - 11652*z2^2*z3 - 
    9390*ln2*z3^2 - 50520*z2*z5 + 55035*z7)/13440, 
 H[-1, 0, -1, 0, 0, 1, 0, 1] -> (38400*ln2*s6 - 38400*s7a - 38400*s7b - 
    21264*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 26880*ln2^2*z2*z3 + 
    57912*z2^2*z3 - 45480*ln2*z3^2 + 110490*z2*z5 - 246675*z7)/13440, 
 H[-1, 0, -1, 0, 0, 1, -1, 1] -> (182400*ln2*s6 + 46080*s7a - 222720*s7b + 
    161280*li4half*ln2*z2 + 6720*ln2^5*z2 - 40320*ln2^3*z2^2 - 
    116272*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 77280*ln2^2*z2*z3 + 
    110904*z2^2*z3 - 6660*ln2*z3^2 + 260400*ln2^2*z5 + 662640*z2*z5 - 
    1163175*z7)/26880, H[-1, 0, -1, 0, 0, 0, 1, 1] -> 
  (107520*s7a + 7648*ln2*z2^3 + 107520*li4half*z3 + 4480*ln2^4*z3 - 
    26880*ln2^2*z2*z3 - 51072*z2^2*z3 + 73920*ln2*z3^2 + 141960*z2*z5 - 
    111825*z7)/26880, H[-1, 0, -1, 0, 0, 0, 0, 1] -> 
  (310*ln2*z2^3 - 196*z2^2*z3 - 560*z2*z5 + 1365*z7)/280, 
 H[-1, 0, -1, 0, 0, 0, -1, 1] -> (-38400*ln2*s6 - 69120*s7a + 145920*s7b + 
    54368*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 20160*ln2^2*z2*z3 - 
    81264*z2^2*z3 - 25920*ln2*z3^2 - 208320*ln2^2*z5 - 418140*z2*z5 + 
    712875*z7)/26880, H[-1, 0, -1, 0, 0, -1, 1, 1] -> 
  (-119040*ln2*s6 + 92160*s7a + 92160*s7b - 161280*li4half*ln2*z2 - 
    6720*ln2^5*z2 + 40320*ln2^3*z2^2 + 85376*ln2*z2^3 + 174720*li4half*z3 + 
    7280*ln2^4*z3 - 94080*ln2^2*z2*z3 - 104112*z2^2*z3 + 108480*ln2*z3^2 - 
    130200*ln2^2*z5 - 140520*z2*z5 + 381705*z7)/26880, 
 H[-1, 0, -1, 0, 0, -1, 0, 1] -> (2560*ln2*s6 - 2560*s7a - 2560*s7b - 
    784*ln2*z2^3 - 3840*li4half*z3 - 160*ln2^4*z3 + 960*ln2^2*z2*z3 + 
    2504*z2^2*z3 - 1920*ln2*z3^2 + 3910*z2*z5 - 10525*z7)/640, 
 H[-1, 0, -1, 0, 0, -1, -1, 1] -> (3840*ln2*s6 - 272640*s7a + 76800*s7b + 
    31232*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 
    44256*z2^2*z3 - 30000*ln2*z3^2 - 156240*ln2^2*z5 - 236520*z2*z5 + 
    205125*z7)/53760, H[-1, 0, -1, 0, -1, 1, 1, 1] -> 
  (645120*li7half + 161280*li5half*ln2^2 + 107520*li4half*ln2^3 + 
    3008*ln2^7 - 282240*ln2*s6 + 80640*s7a - 403200*s7b - 161280*li5half*z2 + 
    80640*li4half*ln2*z2 - 6048*ln2^5*z2 + 34944*ln2^3*z2^2 - 
    38832*ln2*z2^3 + 322560*li4half*z3 + 13440*ln2^4*z3 + 
    221760*ln2^2*z2*z3 + 31248*z2^2*z3 + 283500*ln2*z3^2 + 507780*ln2^2*z5 + 
    1160460*z2*z5 - 2531655*z7)/80640, H[-1, 0, -1, 0, -1, 1, 0, 1] -> 
  (145920*ln2*s6 - 145920*s7a + 69120*s7b + 107520*li5half*z2 + 
    161280*li4half*ln2*z2 + 5824*ln2^5*z2 - 31360*ln2^3*z2^2 - 
    6128*ln2*z2^3 - 241920*li4half*z3 - 10080*ln2^4*z3 + 60480*ln2^2*z2*z3 + 
    76896*z2^2*z3 - 204240*ln2*z3^2 - 208320*ln2^2*z5 - 305100*z2*z5 + 
    222885*z7)/26880, H[-1, 0, -1, 0, -1, 1, -1, 1] -> 
  (-645120*li7half - 26880*li4half*ln2^3 - 992*ln2^7 + 262080*ln2*s6 - 
    161280*s7a + 161280*s7b + 120960*li4half*ln2*z2 + 9072*ln2^5*z2 - 
    64512*ln2^3*z2^2 - 83208*ln2*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 
    30240*ln2^2*z2*z3 - 21420*z2^2*z3 - 241920*ln2*z3^2 - 312480*ln2^2*z5 - 
    483840*z2*z5 + 1361745*z7)/20160, H[-1, 0, -1, 0, -1, 0, 1, 1] -> 
  (-1920*ln2*s6 + 5760*s7a + 1920*s7b + 7680*li5half*z2 - 
    1920*li4half*ln2*z2 - 144*ln2^5*z2 + 1120*ln2^3*z2^2 + 2868*ln2*z2^3 + 
    960*li4half*z3 + 40*ln2^4*z3 - 5280*ln2^2*z2*z3 - 1770*z2^2*z3 + 
    4080*ln2*z3^2 - 9300*z2*z5 + 11565*z7)/960, 
 H[-1, 0, -1, 0, -1, 0, 0, 1] -> (12800*ln2*s6 - 12800*s7a - 12800*s7b + 
    8064*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 6720*ln2^2*z2*z3 - 
    6512*z2^2*z3 + 1920*ln2*z3^2 + 28640*z2*z5 - 69905*z7)/8960, 
 H[-1, 0, -1, 0, -1, 0, -1, 1] -> 
  (-13440*s7a + 13440*s7b + 13440*li5half*z2 + 6720*li4half*ln2*z2 + 
    168*ln2^5*z2 - 560*ln2^3*z2^2 + 7374*ln2*z2^3 - 3360*li4half*z3 - 
    140*ln2^4*z3 + 840*ln2^2*z2*z3 - 2709*z2^2*z3 - 10290*ln2*z3^2 - 
    26040*ln2^2*z5 - 53445*z2*z5 + 59955*z7)/3360, 
 H[-1, 0, -1, 0, -1, -1, 1, 1] -> (2580480*li7half - 3870720*li6half*ln2 - 
    1935360*li5half*ln2^2 - 215040*li4half*ln2^3 + 1280*ln2^7 - 
    3444480*ln2*s6 + 2073600*s7a + 380160*s7b + 1935360*li5half*z2 - 
    1128960*li4half*ln2*z2 - 79296*ln2^5*z2 + 717696*ln2^3*z2^2 + 
    1826592*ln2*z2^3 + 846720*li4half*z3 + 35280*ln2^4*z3 - 
    1663200*ln2^2*z2*z3 - 682848*z2^2*z3 + 2642400*ln2*z3^2 + 
    1874880*ln2^2*z5 - 1298160*z2*z5 - 799425*z7)/322560, 
 H[-1, 0, -1, 0, -1, -1, 0, 1] -> (176640*ln2*s6 - 176640*s7a - 176640*s7b - 
    215040*li5half*z2 - 107520*li4half*ln2*z2 - 2688*ln2^5*z2 + 
    8960*ln2^3*z2^2 - 30368*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 
    6720*ln2^2*z2*z3 + 62544*z2^2*z3 - 59520*ln2*z3^2 + 527280*z2*z5 - 
    825165*z7)/53760, H[-1, 0, -1, 0, -1, -1, -1, 1] -> 
  (2580480*li7half + 1935360*li6half*ln2 + 645120*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 1280*ln2^7 + 512640*ln2*s6 - 391680*s7a - 
    149760*s7b - 2688*ln2^5*z2 + 191904*ln2*z2^3 + 17856*z2^2*z3 - 
    73800*ln2*z3^2 - 703080*ln2^2*z5 + 432360*z2*z5 - 3650085*z7)/161280, 
 H[-1, 0, -1, -1, 1, 1, 1, 1] -> (-4515840*li7half + 2903040*li6half*ln2 + 
    161280*li5half*ln2^2 - 161280*li4half*ln2^3 - 3136*ln2^7 + 
    2718720*ln2*s6 - 1267200*s7a - 380160*s7b - 161280*li5half*z2 + 
    645120*li4half*ln2*z2 + 63168*ln2^5*z2 - 510720*ln2^3*z2^2 - 
    1320480*ln2*z2^3 - 927360*li4half*z3 - 73920*ln2^4*z3 + 
    927360*ln2^2*z2*z3 + 865296*z2^2*z3 - 1969560*ln2*z3^2 - 
    781200*ln2^2*z5 + 1010880*z2*z5 + 372285*z7)/322560, 
 H[-1, 0, -1, -1, 1, 1, 0, 1] -> (10321920*li7half + 1290240*li6half*ln2 - 
    256*ln2^7 - 1411200*ln2*s6 + 1612800*s7a - 1532160*s7b - 
    322560*li5half*z2 - 80640*li4half*ln2*z2 + 15456*ln2^5*z2 + 
    137760*ln2^3*z2^2 + 946368*ln2*z2^3 + 403200*li4half*z3 + 
    16800*ln2^4*z3 - 206640*ln2^2*z2*z3 + 100800*z2^2*z3 + 1959300*ln2*z3^2 + 
    3046680*ln2^2*z5 + 4948020*z2*z5 - 16453395*z7)/161280, 
 H[-1, 0, -1, -1, 1, 1, -1, 1] -> (-322560*li7half - 3548160*li6half*ln2 + 
    161280*li4half*ln2^3 + 1856*ln2^7 - 1820160*ln2*s6 - 921600*s7a + 
    1578240*s7b - 483840*li4half*ln2*z2 - 28224*ln2^5*z2 + 
    380352*ln2^3*z2^2 + 984096*ln2*z2^3 + 241920*li4half*z3 + 
    45360*ln2^4*z3 - 332640*ln2^2*z2*z3 - 651312*z2^2*z3 + 158400*ln2*z3^2 - 
    2421720*ln2^2*z5 - 4714200*z2*z5 + 8321895*z7)/322560, 
 H[-1, 0, -1, -1, 1, 0, 1, 1] -> (-2580480*li7half - 1290240*li6half*ln2 - 
    215040*li5half*ln2^2 + 512*ln2^7 - 245760*ln2*s6 - 238080*s7a + 
    917760*s7b - 268800*li4half*ln2*z2 - 12992*ln2^5*z2 + 77280*ln2^3*z2^2 + 
    73984*ln2*z2^3 + 154560*li4half*z3 + 6440*ln2^4*z3 - 320880*ln2^2*z2*z3 - 
    341976*z2^2*z3 - 222840*ln2*z3^2 - 1054620*ln2^2*z5 - 2738340*z2*z5 + 
    7337025*z7)/53760, H[-1, 0, -1, -1, 1, 0, 0, 1] -> 
  (-24960*ln2*s6 + 92160*s7a - 203520*s7b - 53760*li5half*z2 - 
    26880*li4half*ln2*z2 - 672*ln2^5*z2 + 32480*ln2^3*z2^2 - 53264*ln2*z2^3 - 
    6720*li4half*z3 - 280*ln2^4*z3 + 1680*ln2^2*z2*z3 + 101520*z2^2*z3 + 
    79500*ln2*z3^2 + 286440*ln2^2*z5 + 627870*z2*z5 - 1100685*z7)/26880, 
 H[-1, 0, -1, -1, 1, 0, -1, 1] -> (10321920*li7half + 2580480*li6half*ln2 + 
    1536*ln2^7 - 1547520*ln2*s6 + 2945280*s7a - 2914560*s7b - 
    215040*li5half*z2 - 376320*li4half*ln2*z2 - 24640*ln2^5*z2 + 
    258944*ln2^3*z2^2 + 402784*ln2*z2^3 + 188160*li4half*z3 + 7840*ln2^4*z3 - 
    117600*ln2^2*z2*z3 + 814752*z2^2*z3 + 2606400*ln2*z3^2 + 
    5676720*ln2^2*z5 + 8803440*z2*z5 - 23203875*z7)/107520, 
 H[-1, 0, -1, -1, 1, -1, 1, 1] -> (3655680*li7half + 107520*li6half*ln2 + 
    161280*li5half*ln2^2 - 1920*ln2^7 - 721920*ln2*s6 + 883200*s7a - 
    272640*s7b - 161280*li5half*z2 - 322560*li4half*ln2*z2 - 32704*ln2^5*z2 + 
    244160*ln2^3*z2^2 + 498912*ln2*z2^3 + 201600*li4half*z3 + 
    20160*ln2^4*z3 - 584640*ln2^2*z2*z3 - 69456*z2^2*z3 + 961200*ln2*z3^2 + 
    807240*ln2^2*z5 + 1149480*z2*z5 - 4359855*z7)/107520, 
 H[-1, 0, -1, -1, 1, -1, 0, 1] -> (-5160960*li7half - 645120*li6half*ln2 + 
    128*ln2^7 + 718080*ln2*s6 - 892800*s7a + 948480*s7b + 53760*li5half*z2 - 
    80640*li4half*ln2*z2 - 11872*ln2^5*z2 - 82880*ln2^3*z2^2 - 
    374208*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 + 25200*ln2^2*z2*z3 - 
    252024*z2^2*z3 - 1053840*ln2*z3^2 - 1783740*ln2^2*z5 - 2894940*z2*z5 + 
    9307185*z7)/53760, H[-1, 0, -1, -1, 1, -1, -1, 1] -> 
  (-1612800*li7half - 322560*li6half*ln2 - 322560*li5half*ln2^2 + 
    2560*ln2^7 - 311040*ln2*s6 + 391680*s7a + 149760*s7b - 
    322560*li4half*ln2*z2 - 1344*ln2^3*z2^2 - 133536*ln2*z2^3 + 
    161280*li4half*z3 - 5040*ln2^4*z3 + 30240*ln2^2*z2*z3 - 82368*z2^2*z3 + 
    53640*ln2*z3^2 + 312480*ln2^2*z5 - 432360*z2*z5 + 2682405*z7)/107520, 
 H[-1, 0, -1, -1, 0, 1, 1, 1] -> (-34560*ln2*s6 + 21120*s7a + 34560*s7b + 
    6016*ln2*z2^3 + 53760*li4half*z3 + 2240*ln2^4*z3 - 13440*ln2^2*z2*z3 - 
    42024*z2^2*z3 + 37460*ln2*z3^2 - 114960*z2*z5 + 261435*z7)/17920, 
 H[-1, 0, -1, -1, 0, 1, 0, 1] -> (71040*ln2*s6 - 71040*s7a - 71040*s7b - 
    15176*ln2*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 20160*ln2^2*z2*z3 + 
    56040*z2^2*z3 - 43020*ln2*z3^2 + 214245*z2*z5 - 465405*z7)/13440, 
 H[-1, 0, -1, -1, 0, 1, -1, 1] -> (783360*ln2*s6 - 595200*s7a - 595200*s7b + 
    698880*li4half*ln2*z2 + 29120*ln2^5*z2 - 174720*ln2^3*z2^2 - 
    317856*ln2*z2^3 - 430080*li4half*z3 - 17920*ln2^4*z3 + 
    530880*ln2^2*z2*z3 + 347520*z2^2*z3 - 345000*ln2*z3^2 + 1748400*z2*z5 - 
    3740355*z7)/107520, H[-1, 0, -1, -1, 0, 0, 1, 1] -> 
  (-30720*ln2*s6 + 3840*s7a + 30720*s7b + 80640*li4half*ln2*z2 + 
    3360*ln2^5*z2 - 20160*ln2^3*z2^2 - 13728*ln2*z2^3 + 33600*li4half*z3 + 
    1400*ln2^4*z3 + 62160*ln2^2*z2*z3 - 19248*z2^2*z3 - 17040*ln2*z3^2 - 
    42780*z2*z5 + 76905*z7)/26880, H[-1, 0, -1, -1, 0, 0, 0, 1] -> 
  (-7680*ln2*s6 + 7680*s7a + 7680*s7b - 1232*ln2*z2^3 - 9516*z2^2*z3 + 
    2880*ln2*z3^2 - 20880*z2*z5 + 70335*z7)/6720, 
 H[-1, 0, -1, -1, 0, 0, -1, 1] -> (-24320*ln2*s6 + 42240*s7a + 6400*s7b - 
    2496*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 - 10080*ln2^2*z2*z3 - 
    21776*z2^2*z3 + 39920*ln2*z3^2 + 34720*ln2^2*z5 + 7100*z2*z5 + 43195*z7)/
   17920, H[-1, 0, -1, -1, 0, -1, 1, 1] -> 
  (-36864*ln2*s6 + 26112*s7a + 9984*s7b - 21504*li4half*ln2*z2 - 
    896*ln2^5*z2 + 5376*ln2^3*z2^2 + 9792*ln2*z2^3 + 34944*li4half*z3 + 
    1456*ln2^4*z3 - 8736*ln2^2*z2*z3 - 15168*z2^2*z3 + 21888*ln2*z3^2 + 
    15624*ln2^2*z5 - 28824*z2*z5 + 72063*z7)/10752, 
 H[-1, 0, -1, -1, 0, -1, 0, 1] -> (72960*ln2*s6 - 72960*s7a - 72960*s7b - 
    33200*ln2*z2^3 - 120960*li4half*z3 - 5040*ln2^4*z3 + 30240*ln2^2*z2*z3 + 
    61464*z2^2*z3 - 24000*ln2*z3^2 + 177150*z2*z5 - 369405*z7)/26880, 
 H[-1, 0, -1, -1, 0, -1, -1, 1] -> (23040*ln2*s6 - 23040*s7a - 157440*s7b - 
    56224*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 3360*ln2^2*z2*z3 + 
    32832*z2^2*z3 + 106720*ln2*z3^2 + 260400*ln2^2*z5 + 466680*z2*z5 - 
    839955*z7)/35840, H[-1, 0, -1, -1, -1, 1, 1, 1] -> 
  (-2419200*li7half + 806400*li6half*ln2 + 241920*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 4064*ln2^7 + 455040*ln2*s6 - 172800*s7a + 
    149760*s7b - 241920*li5half*z2 - 161280*li4half*ln2*z2 - 8064*ln2^5*z2 - 
    104160*ln2^3*z2^2 - 447264*ln2*z2^3 + 463680*li4half*z3 + 
    31080*ln2^4*z3 + 126000*ln2^2*z2*z3 - 160992*z2^2*z3 - 286560*ln2*z3^2 - 
    234360*ln2^2*z5 - 528120*z2*z5 + 3381075*z7)/161280, 
 H[-1, 0, -1, -1, -1, 1, 0, 1] -> (10321920*li7half + 1290240*li6half*ln2 - 
    256*ln2^7 + 57600*ln2*s6 - 299520*s7a - 1670400*s7b + 322560*li5half*z2 + 
    1128960*li4half*ln2*z2 + 60480*ln2^5*z2 - 80640*ln2^3*z2^2 + 
    744480*ln2*z2^3 - 1532160*li4half*z3 - 63840*ln2^4*z3 + 
    524160*ln2^2*z2*z3 + 909648*z2^2*z3 + 613440*ln2*z3^2 + 
    1328040*ln2^2*z5 + 4954680*z2*z5 - 19465155*z7)/322560, 
 H[-1, 0, -1, -1, -1, 1, -1, 1] -> (483840*li7half - 241920*li6half*ln2 - 
    53760*li4half*ln2^3 - 2672*ln2^7 + 351360*ln2*s6 - 391680*s7a - 
    149760*s7b + 322560*li4half*ln2*z2 + 13776*ln2^5*z2 - 37632*ln2^3*z2^2 + 
    19872*ln2*z2^3 - 161280*li4half*z3 - 12600*ln2^4*z3 + 40320*ln2^2*z2*z3 + 
    82368*z2^2*z3 - 86400*ln2*z3^2 - 234360*ln2^2*z5 + 432360*z2*z5 - 
    1553445*z7)/80640, H[-1, 0, -1, -1, -1, 0, 1, 1] -> 
  (19200*ln2*s6 + 249600*s7a - 19200*s7b + 430080*li5half*z2 + 
    161280*li4half*ln2*z2 + 3136*ln2^5*z2 - 4480*ln2^3*z2^2 + 
    68896*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 - 20160*ln2^2*z2*z3 + 
    41472*z2^2*z3 + 12960*ln2*z3^2 - 104880*z2*z5 - 298845*z7)/107520, 
 H[-1, 0, -1, -1, -1, 0, 0, 1] -> (-72960*ln2*s6 + 72960*s7a + 72960*s7b + 
    33760*ln2*z2^3 + 120960*li4half*z3 + 5040*ln2^4*z3 - 30240*ln2^2*z2*z3 - 
    55584*z2^2*z3 + 24000*ln2*z3^2 - 294960*z2*z5 + 548535*z7)/53760, 
 H[-1, 0, -1, -1, -1, 0, -1, 1] -> (-90240*ln2*s6 + 23040*s7a + 157440*s7b + 
    53760*li5half*z2 + 40320*li4half*ln2*z2 + 1232*ln2^5*z2 - 
    5600*ln2^3*z2^2 + 47264*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 
    16800*ln2^2*z2*z3 - 30144*z2^2*z3 - 87540*ln2*z3^2 - 130200*ln2^2*z5 - 
    520440*z2*z5 + 839955*z7)/26880, H[-1, 0, -1, -1, -1, -1, 1, 1] -> 
  (-80640*li7half - 241920*li6half*ln2 - 201600*li5half*ln2^2 - 
    40320*li4half*ln2^3 - 320*ln2^7 - 241920*ln2*s6 + 201600*s7a + 
    201600*li5half*z2 - 40320*li4half*ln2*z2 - 336*ln2^5*z2 + 
    24192*ln2^3*z2^2 + 92160*ln2*z2^3 + 50400*li4half*z3 - 3780*ln2^4*z3 - 
    12600*ln2^2*z2*z3 - 10080*z2^2*z3 + 108360*ln2*z3^2 + 195300*ln2^2*z5 + 
    6300*z2*z5 - 113085*z7)/80640, H[-1, 0, -1, -1, -1, -1, 0, 1] -> 
  (19200*ln2*s6 - 19200*s7a - 19200*s7b - 30720*li5half*z2 - 
    23040*li4half*ln2*z2 - 704*ln2^5*z2 + 3200*ln2^3*z2^2 - 6432*ln2*z2^3 + 
    5760*li4half*z3 + 240*ln2^4*z3 - 8160*ln2^2*z2*z3 + 1536*z2^2*z3 + 
    10560*ln2*z3^2 + 48720*z2*z5 - 49425*z7)/15360, 
 H[-1, 0, -1, -1, -1, -1, -1, 1] -> 
  (60480*li7half + 50400*li6half*ln2 + 20160*li5half*ln2^2 + 
    5040*li4half*ln2^3 + 100*ln2^7 - 378*ln2^5*z2 + 2304*ln2*z2^3 + 
    735*ln2^4*z3 - 60480*z7)/10080, H[-1, -1, 1, 1, 1, 1, 1, 1] -> 
  (80640*li7half + 26880*li6half*ln2 + 16*ln2^7 - 13440*ln2*s6 + 13440*s7a - 
    224*ln2^5*z2 - 224*ln2^3*z2^2 + 5376*ln2*z2^3 + 1120*ln2^4*z3 - 
    6720*ln2^2*z2*z3 - 10080*z2^2*z3 + 16800*ln2*z3^2 + 26460*ln2^2*z5 - 
    13020*z2*z5 - 12915*z7)/26880, H[-1, -1, 1, 1, 1, 1, 0, 1] -> 
  (806400*li7half - 80640*li5half*ln2^2 + 512*ln2^7 - 167040*ln2*s6 + 
    5760*s7a - 115200*s7b - 80640*li5half*z2 - 3360*ln2^5*z2 + 
    16800*ln2^3*z2^2 + 106560*ln2*z2^3 + 6720*ln2^4*z3 + 40320*ln2^2*z2*z3 + 
    109728*z2^2*z3 + 47520*ln2*z3^2 + 197820*ln2^2*z5 + 422820*z2*z5 - 
    1674945*z7)/161280, H[-1, -1, 1, 1, 1, 1, -1, 1] -> 
  (-645120*li7half + 161280*li5half*ln2^2 + 53760*li4half*ln2^3 + 
    1088*ln2^7 + 80640*ln2*s6 - 80640*s7a + 80640*s7b - 2688*ln2^5*z2 + 
    2688*ln2^3*z2^2 - 50400*ln2*z2^3 - 40320*li4half*z3 - 3360*ln2^4*z3 + 
    90720*ln2^2*z2*z3 + 46368*z2^2*z3 - 259560*ln2*z3^2 - 317520*ln2^2*z5 - 
    241920*z2*z5 + 827505*z7)/322560, H[-1, -1, 1, 1, 1, 0, 1, 1] -> 
  (-887040*li7half - 241920*li6half*ln2 + 40320*li5half*ln2^2 + 
    13440*li4half*ln2^3 + 64*ln2^7 + 175680*ln2*s6 - 14400*s7a - 74880*s7b + 
    201600*li5half*z2 + 80640*li4half*ln2*z2 + 2352*ln2^5*z2 - 
    4368*ln2^3*z2^2 - 96336*ln2*z2^3 - 60480*li4half*z3 - 9240*ln2^4*z3 + 
    55440*ln2^2*z2*z3 + 28080*z2^2*z3 - 58320*ln2*z3^2 - 141750*ln2^2*z5 + 
    263430*z2*z5 + 120555*z7)/80640, H[-1, -1, 1, 1, 1, 0, 0, 1] -> 
  (-4515840*li7half - 1935360*li6half*ln2 - 322560*li5half*ln2^2 + 
    896*ln2^7 + 334080*ln2*s6 - 1301760*s7a + 1440000*s7b - 
    161280*li5half*z2 + 161280*li4half*ln2*z2 + 2688*ln2^5*z2 - 
    94080*ln2^3*z2^2 - 105120*ln2*z2^3 + 201600*li4half*z3 + 21840*ln2^4*z3 + 
    30240*ln2^2*z2*z3 - 667008*z2^2*z3 - 901440*ln2*z3^2 - 2489760*ln2^2*z5 - 
    4466880*z2*z5 + 12199815*z7)/322560, H[-1, -1, 1, 1, 1, 0, -1, 1] -> 
  (-215040*li7half - 67200*li6half*ln2 - 6720*li5half*ln2^2 - 
    2240*li4half*ln2^3 - 88*ln2^7 + 44640*ln2*s6 - 54720*s7a + 12480*s7b + 
    6720*li5half*z2 + 6720*li4half*ln2*z2 + 672*ln2^5*z2 - 3808*ln2^3*z2^2 - 
    19656*ln2*z2^3 - 1680*li4half*z3 - 910*ln2^4*z3 + 3780*ln2^2*z2*z3 - 
    6276*z2^2*z3 - 26085*ln2*z3^2 - 64260*ln2^2*z5 - 38550*z2*z5 + 232380*z7)/
   13440, H[-1, -1, 1, 1, 1, -1, 1, 1] -> 
  (-2903040*li7half - 1935360*li6half*ln2 - 645120*li5half*ln2^2 - 
    161280*li4half*ln2^3 - 3392*ln2^7 - 80640*ln2*s6 - 725760*s7a + 
    1048320*s7b + 14784*ln2^5*z2 + 2688*ln2^3*z2^2 + 188832*ln2*z2^3 + 
    120960*li4half*z3 - 31920*ln2^4*z3 + 50400*ln2^2*z2*z3 - 383040*z2^2*z3 - 
    609840*ln2*z3^2 - 1879920*ln2^2*z5 - 2328480*z2*z5 + 6610905*z7)/322560, 
 H[-1, -1, 1, 1, 1, -1, 0, 1] -> (-322560*li7half + 483840*li6half*ln2 + 
    322560*li5half*ln2^2 + 80640*li4half*ln2^3 + 1408*ln2^7 + 501120*ln2*s6 - 
    17280*s7a - 218880*s7b + 161280*li5half*z2 + 80640*li4half*ln2*z2 - 
    2016*ln2^5*z2 - 30240*ln2^3*z2^2 - 165024*ln2*z2^3 - 80640*li4half*z3 + 
    7560*ln2^4*z3 + 15120*ln2^2*z2*z3 + 72504*z2^2*z3 - 24120*ln2*z3^2 - 
    197820*ln2^2*z5 + 178020*z2*z5 - 262125*z7)/161280, 
 H[-1, -1, 1, 1, 1, -1, -1, 1] -> (241920*li7half + 120960*li6half*ln2 + 
    20160*li5half*ln2^2 - 56*ln2^7 + 86400*ln2*s6 + 34560*s7a - 207360*s7b + 
    168*ln2^5*z2 - 336*ln2^3*z2^2 - 36960*ln2*z2^3 + 210*ln2^4*z3 - 
    10080*ln2^2*z2*z3 + 53820*z2^2*z3 + 110925*ln2*z3^2 + 234990*ln2^2*z5 + 
    616680*z2*z5 - 1301805*z7)/40320, H[-1, -1, 1, 1, 0, 1, 1, 1] -> 
  (322560*li7half - 64*ln2^7 - 817920*ln2*s6 - 391680*s7a + 1140480*s7b - 
    967680*li5half*z2 - 483840*li4half*ln2*z2 - 10752*ln2^5*z2 + 
    47040*ln2^3*z2^2 + 293472*ln2*z2^3 + 967680*li4half*z3 + 42000*ln2^4*z3 - 
    241920*ln2^2*z2*z3 - 678672*z2^2*z3 - 41040*ln2*z3^2 - 750960*ln2^2*z5 - 
    3163680*z2*z5 + 6581745*z7)/322560, H[-1, -1, 1, 1, 0, 1, 0, 1] -> 
  (860160*li7half + 860160*li6half*ln2 + 215040*li5half*ln2^2 - 768*ln2^7 + 
    65280*ln2*s6 + 445440*s7a - 334080*s7b + 215040*li5half*z2 + 
    1792*ln2^5*z2 - 4928*ln2^3*z2^2 - 82784*ln2*z2^3 - 282240*li4half*z3 - 
    20720*ln2^4*z3 - 6720*ln2^2*z2*z3 + 226752*z2^2*z3 + 117480*ln2*z3^2 + 
    693840*ln2^2*z5 + 946920*z2*z5 - 2592585*z7)/107520, 
 H[-1, -1, 1, 1, 0, 1, -1, 1] -> (981120*li7half + 322560*li6half*ln2 - 
    8960*li4half*ln2^3 - 120*ln2^7 - 73920*ln2*s6 + 228480*s7a - 235200*s7b + 
    20160*li4half*ln2*z2 + 1288*ln2^5*z2 + 392*ln2^3*z2^2 + 34872*ln2*z2^3 - 
    8400*li4half*z3 + 560*ln2^4*z3 - 420*ln2^2*z2*z3 + 72576*z2^2*z3 + 
    178605*ln2*z3^2 + 467460*ln2^2*z5 + 705390*z2*z5 - 2041935*z7)/13440, 
 H[-1, -1, 1, 1, 0, 0, 1, 1] -> (645120*li7half + 322560*li6half*ln2 + 
    80640*li5half*ln2^2 + 13440*li4half*ln2^3 + 208*ln2^7 + 60480*ln2*s6 + 
    100800*s7a - 181440*s7b + 120960*li5half*z2 + 80640*li4half*ln2*z2 + 
    1680*ln2^5*z2 - 6048*ln2^3*z2^2 + 24960*ln2*z2^3 - 60480*li4half*z3 - 
    840*ln2^4*z3 + 17640*ln2^2*z2*z3 + 77994*z2^2*z3 + 63315*ln2*z3^2 + 
    185220*ln2^2*z5 + 416115*z2*z5 - 1522710*z7)/40320, 
 H[-1, -1, 1, 1, 0, 0, 0, 1] -> (-6720*s7a + 6720*s7b + 13440*li5half*z2 + 
    6720*li4half*ln2*z2 + 168*ln2^5*z2 - 952*ln2^3*z2^2 + 7080*ln2*z2^3 + 
    8400*li4half*z3 + 350*ln2^4*z3 - 420*ln2^2*z2*z3 - 5628*z2^2*z3 - 
    840*ln2*z3^2 - 16065*ln2^2*z5 - 36225*z2*z5 + 33600*z7)/6720, 
 H[-1, -1, 1, 1, 0, 0, -1, 1] -> (-4515840*li7half - 2580480*li6half*ln2 - 
    645120*li5half*ln2^2 - 107520*li4half*ln2^3 - 1792*ln2^7 + 69120*ln2*s6 - 
    2649600*s7a + 2430720*s7b + 645120*li5half*z2 + 322560*li4half*ln2*z2 + 
    16128*ln2^5*z2 - 33600*ln2^3*z2^2 + 626016*ln2*z2^3 - 80640*li4half*z3 - 
    16800*ln2^4*z3 + 30240*ln2^2*z2*z3 - 690768*z2^2*z3 - 1656360*ln2*z3^2 - 
    4528440*ln2^2*z5 - 7997040*z2*z5 + 15340005*z7)/322560, 
 H[-1, -1, 1, 1, 0, -1, 1, 1] -> (-3440640*li7half - 1128960*li6half*ln2 + 
    35840*li4half*ln2^3 + 608*ln2^7 + 134400*ln2*s6 - 672000*s7a + 
    860160*s7b + 80640*li5half*z2 - 3808*ln2^5*z2 - 16352*ln2^3*z2^2 - 
    136128*ln2*z2^3 - 26880*li4half*z3 + 2520*ln2^4*z3 + 16800*ln2^2*z2*z3 - 
    231168*z2^2*z3 - 640500*ln2*z3^2 - 1411200*ln2^2*z5 - 2730840*z2*z5 + 
    7557585*z7)/53760, H[-1, -1, 1, 1, 0, -1, 0, 1] -> 
  (107520*li7half + 107520*li6half*ln2 + 26880*li5half*ln2^2 - 96*ln2^7 + 
    13440*ln2*s6 + 36960*s7a - 33600*s7b + 26880*li5half*z2 + 224*ln2^5*z2 - 
    840*ln2^3*z2^2 - 248*ln2*z2^3 - 840*ln2^4*z3 - 2100*ln2^2*z2*z3 + 
    9492*z2^2*z3 + 20055*ln2*z3^2 + 46725*ln2^2*z5 + 91980*z2*z5 - 285495*z7)/
   13440, H[-1, -1, 1, 1, 0, -1, -1, 1] -> 
  (-1290240*li7half - 322560*li6half*ln2 - 192*ln2^7 + 103680*ln2*s6 - 
    506880*s7a + 702720*s7b + 1344*ln2^5*z2 - 21504*ln2^3*z2^2 + 
    73824*ln2*z2^3 + 560*ln2^4*z3 - 200352*z2^2*z3 - 501720*ln2*z3^2 - 
    1239840*ln2^2*z5 - 2102040*z2*z5 + 4593375*z7)/107520, 
 H[-1, -1, 1, 1, -1, 1, 1, 1] -> (3870720*li7half + 2903040*li6half*ln2 + 
    967680*li5half*ln2^2 + 161280*li4half*ln2^3 + 1984*ln2^7 + 
    311040*ln2*s6 + 898560*s7a - 1278720*s7b - 4032*ln2^5*z2 + 
    2688*ln2^3*z2^2 - 226080*ln2*z2^3 - 120960*li4half*z3 - 6720*ln2^4*z3 + 
    30240*ln2^2*z2*z3 + 410976*z2^2*z3 + 672120*ln2*z3^2 + 1867320*ln2^2*z5 + 
    3098520*z2*z5 - 8670555*z7)/322560, H[-1, -1, 1, 1, -1, 1, 0, 1] -> 
  (-2741760*li7half - 1451520*li6half*ln2 - 403200*li5half*ln2^2 - 
    80640*li4half*ln2^3 - 1472*ln2^7 - 576000*ln2*s6 - 593280*s7a + 
    1463040*s7b - 241920*li5half*z2 - 241920*li4half*ln2*z2 - 2016*ln2^5*z2 + 
    16800*ln2^3*z2^2 + 152064*ln2*z2^3 + 120960*li4half*z3 - 1680*ln2^4*z3 - 
    141120*ln2^2*z2*z3 - 418608*z2^2*z3 - 653400*ln2*z3^2 - 
    1369620*ln2^2*z5 - 3897000*z2*z5 + 9504945*z7)/161280, 
 H[-1, -1, 1, 1, -1, 1, -1, 1] -> (-1451520*li7half - 967680*li6half*ln2 - 
    241920*li5half*ln2^2 + 928*ln2^7 - 760320*ln2*s6 - 207360*s7a + 
    1244160*s7b - 6048*ln2^5*z2 - 1344*ln2^3*z2^2 + 218880*ln2*z2^3 + 
    18480*ln2^4*z3 - 323424*z2^2*z3 - 559080*ln2*z3^2 - 933660*ln2^2*z5 - 
    3700080*z2*z5 + 7813665*z7)/161280, H[-1, -1, 1, 1, -1, 0, 1, 1] -> 
  (1290240*li7half - 322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 
    2048*ln2^7 - 109440*ln2*s6 + 109440*s7a - 92160*s7b - 241920*li5half*z2 + 
    8736*ln2^5*z2 - 18144*ln2^3*z2^2 + 150336*ln2*z2^3 + 80640*li4half*z3 - 
    840*ln2^4*z3 - 30240*ln2^2*z2*z3 - 10296*z2^2*z3 + 149400*ln2*z3^2 + 
    283500*ln2^2*z5 + 738180*z2*z5 - 2043855*z7)/161280, 
 H[-1, -1, 1, 1, -1, 0, 0, 1] -> (645120*li7half + 322560*li6half*ln2 + 
    80640*li5half*ln2^2 + 13440*li4half*ln2^3 + 208*ln2^7 + 77760*ln2*s6 + 
    144000*s7a - 299520*s7b + 80640*li5half*z2 + 40320*li4half*ln2*z2 + 
    336*ln2^5*z2 + 1680*ln2^3*z2^2 - 7776*ln2*z2^3 - 20160*li4half*z3 + 
    420*ln2^4*z3 + 21420*ln2^2*z2*z3 + 86994*z2^2*z3 + 150705*ln2*z3^2 + 
    311220*ln2^2*z5 + 766125*z2*z5 - 2020770*z7)/40320, 
 H[-1, -1, 1, 1, -1, 0, -1, 1] -> (443520*li7half - 80640*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 536*ln2^7 + 15840*ln2*s6 - 15840*s7a - 187200*s7b + 
    2016*ln2^5*z2 + 8064*ln2^3*z2^2 + 32760*ln2*z2^3 + 20160*li4half*z3 - 
    3990*ln2^4*z3 - 6300*ln2^2*z2*z3 + 37440*z2^2*z3 + 133605*ln2*z3^2 + 
    192780*ln2^2*z5 + 554310*z2*z5 - 1430955*z7)/40320, 
 H[-1, -1, 1, 1, -1, -1, 1, 1] -> (-32*ln2^7 - 1344*ln2^3*z2^2 + 
    840*ln2^4*z3 + 1008*z2^2*z3 - 1260*ln2*z3^2 + 3780*ln2^2*z5 - 2835*z7)/
   161280, H[-1, -1, 1, 1, -1, -1, 0, 1] -> 
  (2580480*li7half + 1290240*li6half*ln2 + 322560*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 832*ln2^7 + 149760*ln2*s6 + 737280*s7a - 
    1036800*s7b - 3360*ln2^5*z2 + 23520*ln2^3*z2^2 - 77472*ln2*z2^3 - 
    40320*li4half*z3 - 840*ln2^4*z3 + 15120*ln2^2*z2*z3 + 311688*z2^2*z3 + 
    604080*ln2*z3^2 + 1369620*ln2^2*z5 + 3104820*z2*z5 - 7472925*z7)/161280, 
 H[-1, -1, 1, 1, -1, -1, -1, 1] -> (-322560*li7half - 322560*li6half*ln2 - 
    161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 1216*ln2^7 + 311040*ln2*s6 - 
    230400*s7a - 311040*s7b + 5376*ln2^5*z2 + 2688*ln2^3*z2^2 - 
    54432*ln2*z2^3 + 40320*li4half*z3 - 11760*ln2^4*z3 - 10080*ln2^2*z2*z3 + 
    50112*z2^2*z3 + 125280*ln2*z3^2 - 7560*ln2^2*z5 + 916200*z2*z5 - 
    1472175*z7)/322560, H[-1, -1, 1, 0, 1, 1, 1, 1] -> 
  (-967680*li7half - 322560*li6half*ln2 - 256*ln2^7 + 1094400*ln2*s6 - 
    207360*s7a - 933120*s7b + 645120*li5half*z2 + 483840*li4half*ln2*z2 + 
    17472*ln2^5*z2 - 88704*ln2^3*z2^2 - 235872*ln2*z2^3 - 967680*li4half*z3 - 
    52080*ln2^4*z3 + 453600*ln2^2*z2*z3 + 993024*z2^2*z3 - 627120*ln2*z3^2 - 
    176400*ln2^2*z5 + 2998080*z2*z5 - 6794775*z7)/322560, 
 H[-1, -1, 1, 0, 1, 1, 0, 1] -> (40320*ln2*s6 + 53760*s7a - 80640*s7b + 
    4480*ln2^3*z2^2 - 19968*ln2*z2^3 + 141120*li4half*z3 + 5880*ln2^4*z3 - 
    33600*ln2^2*z2*z3 - 111552*z2^2*z3 + 160860*ln2*z3^2 + 55860*ln2^2*z5 + 
    168000*z2*z5 - 6615*z7)/53760, H[-1, -1, 1, 0, 1, 1, -1, 1] -> 
  (-17418240*li7half - 7418880*li6half*ln2 - 645120*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 3008*ln2^7 + 668160*ln2*s6 - 4458240*s7a + 
    4412160*s7b - 483840*li4half*ln2*z2 - 59136*ln2^5*z2 + 
    145152*ln2^3*z2^2 - 336672*ln2*z2^3 + 282240*li4half*z3 + 
    11760*ln2^4*z3 - 252000*ln2^2*z2*z3 - 1546704*z2^2*z3 - 
    2599200*ln2*z3^2 - 8416800*ln2^2*z5 - 13237920*z2*z5 + 37591515*z7)/
   322560, H[-1, -1, 1, 0, 1, 0, 1, 1] -> 
  (2580480*li7half - 645120*li5half*ln2^2 - 215040*li4half*ln2^3 - 
    4096*ln2^7 - 1428480*ln2*s6 + 138240*s7a + 1025280*s7b - 
    1935360*li5half*z2 - 1290240*li4half*ln2*z2 - 26880*ln2^5*z2 + 
    145152*ln2^3*z2^2 + 463968*ln2*z2^3 + 967680*li4half*z3 + 
    40320*ln2^4*z3 - 705600*ln2^2*z2*z3 - 566928*z2^2*z3 + 576000*ln2*z3^2 + 
    556920*ln2^2*z5 - 2767320*z2*z5 + 5501205*z7)/322560, 
 H[-1, -1, 1, 0, 1, 0, 0, 1] -> (-13440*ln2*s6 + 53760*s7a - 53760*s7b - 
    53760*li5half*z2 - 53760*li4half*ln2*z2 - 1792*ln2^5*z2 + 
    3584*ln2^3*z2^2 - 25936*ln2*z2^3 - 67200*li4half*z3 - 2800*ln2^4*z3 + 
    3360*ln2^2*z2*z3 + 84924*z2^2*z3 - 14700*ln2*z3^2 + 121380*ln2^2*z5 + 
    269640*z2*z5 - 464625*z7)/26880, H[-1, -1, 1, 0, 1, 0, -1, 1] -> 
  (-1935360*li7half + 322560*li5half*ln2^2 + 107520*li4half*ln2^3 + 
    2176*ln2^7 - 668160*ln2*s6 + 668160*s7a + 1393920*s7b - 
    322560*li5half*z2 - 322560*li4half*ln2*z2 - 18816*ln2^5*z2 + 
    6048*ln2^3*z2^2 - 43200*ln2*z2^3 + 80640*li4half*z3 + 26880*ln2^4*z3 - 
    136080*ln2^2*z2*z3 - 322632*z2^2*z3 - 606240*ln2*z3^2 - 786240*ln2^2*z5 - 
    4010220*z2*z5 + 10003725*z7)/161280, H[-1, -1, 1, 0, 1, -1, 1, 1] -> 
  (9999360*li7half + 4515840*li6half*ln2 + 430080*li5half*ln2^2 + 704*ln2^7 - 
    49920*ln2*s6 + 2200320*s7a - 2906880*s7b + 10304*ln2^5*z2 - 
    21056*ln2^3*z2^2 + 103584*ln2*z2^3 + 11760*ln2^4*z3 - 90720*ln2^2*z2*z3 + 
    839424*z2^2*z3 + 1979280*ln2*z3^2 + 4928280*ln2^2*z5 + 8307960*z2*z5 - 
    22947585*z7)/107520, H[-1, -1, 1, 0, 1, -1, 0, 1] -> 
  (-967680*li6half*ln2 - 322560*li5half*ln2^2 - 26880*li4half*ln2^3 + 
    224*ln2^7 - 466560*ln2*s6 + 2880*s7a + 63360*s7b - 322560*li5half*z2 - 
    80640*li4half*ln2*z2 - 672*ln2^5*z2 + 52248*ln2^3*z2^2 + 73512*ln2*z2^3 + 
    40320*li4half*z3 + 1680*ln2^4*z3 + 6300*ln2^2*z2*z3 - 14310*z2^2*z3 + 
    91800*ln2*z3^2 + 260820*ln2^2*z5 + 267165*z2*z5 + 58545*z7)/40320, 
 H[-1, -1, 1, 0, 1, -1, -1, 1] -> (-4838400*li7half - 2903040*li6half*ln2 - 
    322560*li5half*ln2^2 + 53760*li4half*ln2^3 + 1856*ln2^7 - 
    1059840*ln2*s6 + 172800*s7a + 1463040*s7b - 20160*ln2^5*z2 + 
    83328*ln2^3*z2^2 - 80352*ln2*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 + 
    131040*ln2^2*z2*z3 - 339480*z2^2*z3 - 668520*ln2*z3^2 - 
    1142820*ln2^2*z5 - 4338000*z2*z5 + 12613365*z7)/161280, 
 H[-1, -1, 1, 0, 0, 1, 1, 1] -> (-4515840*li7half - 2580480*li6half*ln2 - 
    645120*li5half*ln2^2 - 107520*li4half*ln2^3 - 1792*ln2^7 - 
    794880*ln2*s6 - 656640*s7a + 1278720*s7b + 967680*li5half*z2 + 
    322560*li4half*ln2*z2 + 13440*ln2^5*z2 - 5376*ln2^3*z2^2 + 
    48672*ln2*z2^3 + 80640*li4half*z3 - 20160*ln2^4*z3 - 20160*ln2^2*z2*z3 - 
    553104*z2^2*z3 - 208440*ln2*z3^2 - 861840*ln2^2*z5 - 5144760*z2*z5 + 
    11887335*z7)/322560, H[-1, -1, 1, 0, 0, 1, 0, 1] -> 
  (14400*ln2*s6 - 61440*s7a + 19200*s7b - 26880*li5half*z2 - 
    13440*li4half*ln2*z2 - 336*ln2^5*z2 + 3808*ln2^3*z2^2 + 9088*ln2*z2^3 - 
    26880*li4half*z3 - 1120*ln2^4*z3 + 4200*ln2^2*z2*z3 + 8718*z2^2*z3 - 
    50970*ln2*z3^2 - 67410*ln2^2*z5 - 36240*z2*z5 + 40125*z7)/13440, 
 H[-1, -1, 1, 0, 0, 1, -1, 1] -> (645120*li7half + 645120*li6half*ln2 + 
    161280*li5half*ln2^2 + 26880*li4half*ln2^3 + 544*ln2^7 + 316800*ln2*s6 + 
    126720*s7a - 599040*s7b + 161280*li4half*ln2*z2 + 2688*ln2^5*z2 - 
    53088*ln2^3*z2^2 - 203904*ln2*z2^3 - 120960*li4half*z3 - 5040*ln2^4*z3 + 
    226800*ln2^2*z2*z3 + 225900*z2^2*z3 + 107370*ln2*z3^2 + 567000*ln2^2*z5 + 
    1782360*z2*z5 - 3764025*z7)/80640, H[-1, -1, 1, 0, 0, 0, 1, 1] -> 
  (11520*ln2*s6 + 96000*s7a - 11520*s7b - 107520*li5half*z2 - 
    53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 2688*ln2^3*z2^2 - 20416*ln2*z2^3 + 
    87360*li4half*z3 + 3640*ln2^4*z3 - 31920*ln2^2*z2*z3 - 36168*z2^2*z3 + 
    69600*ln2*z3^2 + 24780*ln2^2*z5 + 260220*z2*z5 - 153225*z7)/26880, 
 H[-1, -1, 1, 0, 0, 0, 0, 1] -> (4480*ln2*s6 - 8960*s7b - 3040*ln2*z2^3 - 
    6720*li4half*z3 - 280*ln2^4*z3 + 1680*ln2^2*z2*z3 + 2548*z2^2*z3 + 
    6580*ln2^2*z5 + 20230*z2*z5 - 26635*z7)/4480, 
 H[-1, -1, 1, 0, 0, 0, -1, 1] -> (34560*ln2*s6 + 72960*s7a - 101760*s7b - 
    53760*li5half*z2 - 26880*li4half*ln2*z2 - 672*ln2^5*z2 + 672*ln2^3*z2^2 - 
    41648*ln2*z2^3 + 53760*li4half*z3 + 2240*ln2^4*z3 - 18480*ln2^2*z2*z3 + 
    3300*z2^2*z3 + 96240*ln2*z3^2 + 144480*ln2^2*z5 + 383340*z2*z5 - 
    505035*z7)/26880, H[-1, -1, 1, 0, 0, -1, 1, 1] -> 
  (430080*li7half + 161280*li6half*ln2 + 53760*li5half*ln2^2 + 
    8960*li4half*ln2^3 + 64*ln2^7 - 2880*ln2*s6 + 117120*s7a + 9600*s7b - 
    53760*li5half*z2 - 80640*li4half*ln2*z2 - 2240*ln2^5*z2 + 
    22960*ln2^3*z2^2 + 68064*ln2*z2^3 + 80640*li4half*z3 + 3360*ln2^4*z3 - 
    85680*ln2^2*z2*z3 - 42072*z2^2*z3 + 81720*ln2*z3^2 - 71400*ln2^2*z5 + 
    144420*z2*z5 - 442515*z7)/26880, H[-1, -1, 1, 0, 0, -1, 0, 1] -> 
  (65280*ln2*s6 - 132480*s7a - 24960*s7b + 53760*li5half*z2 + 
    26880*li4half*ln2*z2 + 672*ln2^5*z2 + 2464*ln2^3*z2^2 + 14608*ln2*z2^3 - 
    87360*li4half*z3 - 3640*ln2^4*z3 + 26880*ln2^2*z2*z3 + 39348*z2^2*z3 - 
    80340*ln2*z3^2 - 99540*ln2^2*z5 - 105600*z2*z5 - 44025*z7)/26880, 
 H[-1, -1, 1, 0, 0, -1, -1, 1] -> (-1935360*li7half - 1935360*li6half*ln2 - 
    645120*li5half*ln2^2 - 107520*li4half*ln2^3 - 1408*ln2^7 - 57600*ln2*s6 - 
    1635840*s7a + 57600*s7b + 5376*ln2^5*z2 + 40320*ln2^3*z2^2 + 
    10080*ln2*z2^3 + 161280*li4half*z3 - 16800*ln2^4*z3 - 40320*ln2^2*z2*z3 - 
    158688*z2^2*z3 + 122400*ln2*z3^2 - 315000*ln2^2*z5 - 222120*z2*z5 + 
    1040175*z7)/322560, H[-1, -1, 1, 0, -1, 1, 1, 1] -> 
  (-14192640*li7half - 7741440*li6half*ln2 - 1128960*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 3008*ln2^7 - 760320*ln2*s6 - 3432960*s7a + 
    4550400*s7b - 5376*ln2^5*z2 + 45696*ln2^3*z2^2 + 127008*ln2*z2^3 + 
    80640*li4half*z3 + 3360*ln2^4*z3 + 10080*ln2^2*z2*z3 - 1315296*z2^2*z3 - 
    2718720*ln2*z3^2 - 6620040*ln2^2*z5 - 13616280*z2*z5 + 35426565*z7)/
   322560, H[-1, -1, 1, 0, -1, 1, 0, 1] -> 
  (1935360*li6half*ln2 + 645120*li5half*ln2^2 + 53760*li4half*ln2^3 - 
    448*ln2^7 + 979200*ln2*s6 + 69120*s7a - 293760*s7b + 524160*li5half*z2 + 
    161280*li4half*ln2*z2 + 2352*ln2^5*z2 - 107856*ln2^3*z2^2 - 
    210528*ln2*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 52920*ln2^2*z2*z3 + 
    86472*z2^2*z3 - 200250*ln2*z3^2 - 337680*ln2^2*z5 + 300330*z2*z5 - 
    1345815*z7)/80640, H[-1, -1, 1, 0, -1, 1, -1, 1] -> 
  (11289600*li7half + 5160960*li6half*ln2 + 591360*li5half*ln2^2 + 
    468480*ln2*s6 + 2327040*s7a - 3667200*s7b + 15680*ln2^5*z2 + 
    896*ln2^3*z2^2 + 72864*ln2*z2^3 - 11760*ln2^4*z3 - 20160*ln2^2*z2*z3 + 
    1028448*z2^2*z3 + 2266200*ln2*z3^2 + 5097120*ln2^2*z5 + 10959720*z2*z5 - 
    28759425*z7)/107520, H[-1, -1, 1, 0, -1, 0, 1, 1] -> 
  (645120*li7half - 161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 1024*ln2^7 - 
    112320*ln2*s6 + 112320*s7a + 11520*s7b - 725760*li5half*z2 - 
    322560*li4half*ln2*z2 - 4704*ln2^5*z2 + 19152*ln2^3*z2^2 - 
    1008*ln2*z2^3 + 241920*li4half*z3 + 10080*ln2^4*z3 - 85680*ln2^2*z2*z3 - 
    97056*z2^2*z3 + 156150*ln2*z3^2 + 153720*ln2^2*z5 + 780120*z2*z5 - 
    633015*z7)/80640, H[-1, -1, 1, 0, -1, 0, 0, 1] -> 
  (1920*ln2*s6 + 31680*s7a - 48960*s7b - 26880*li5half*z2 - 
    26880*li4half*ln2*z2 - 896*ln2^5*z2 + 2128*ln2^3*z2^2 - 23128*ln2*z2^3 - 
    33600*li4half*z3 - 1400*ln2^4*z3 + 3360*ln2^2*z2*z3 + 30960*z2^2*z3 + 
    14820*ln2*z3^2 + 82530*ln2^2*z5 + 173535*z2*z5 - 243255*z7)/13440, 
 H[-1, -1, 1, 0, -1, 0, -1, 1] -> (-3870720*li7half + 645120*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 4352*ln2^7 - 46080*ln2*s6 + 1336320*s7a + 
    288000*s7b - 1128960*li5half*z2 - 645120*li4half*ln2*z2 - 
    33600*ln2^5*z2 - 20160*ln2^3*z2^2 - 935712*ln2*z2^3 + 161280*li4half*z3 + 
    53760*ln2^4*z3 - 90720*ln2^2*z2*z3 - 68688*z2^2*z3 - 146520*ln2*z3^2 + 
    791280*ln2^2*z5 + 300600*z2*z5 + 6377085*z7)/322560, 
 H[-1, -1, 1, 0, -1, -1, 1, 1] -> (-7741440*li7half - 2419200*li6half*ln2 - 
    80640*li5half*ln2^2 - 53760*li4half*ln2^3 - 3392*ln2^7 + 823680*ln2*s6 - 
    2315520*s7a + 3087360*s7b - 483840*li5half*z2 + 8736*ln2^5*z2 - 
    127008*ln2^3*z2^2 - 29376*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 + 
    5040*ln2^2*z2*z3 - 896688*z2^2*z3 - 2334960*ln2*z3^2 - 5595660*ln2^2*z5 - 
    8300520*z2*z5 + 21412395*z7)/161280, H[-1, -1, 1, 0, -1, -1, 0, 1] -> 
  (480*ln2*s6 + 36480*s7a - 50880*s7b + 20160*li5half*z2 - 168*ln2^5*z2 + 
    1960*ln2^3*z2^2 - 11592*ln2*z2^3 + 420*ln2^2*z2*z3 + 14208*z2^2*z3 + 
    33105*ln2*z3^2 + 79065*ln2^2*z5 + 94860*z2*z5 - 175605*z7)/13440, 
 H[-1, -1, 1, 0, -1, -1, -1, 1] -> (-6128640*li7half - 2903040*li6half*ln2 - 
    483840*li5half*ln2^2 + 1216*ln2^7 - 472320*ln2*s6 + 69120*s7a + 
    472320*s7b - 5376*ln2^5*z2 - 21504*ln2^3*z2^2 - 654624*ln2*z2^3 - 
    40320*li4half*z3 + 10080*ln2^4*z3 + 10080*ln2^2*z2*z3 - 98496*z2^2*z3 - 
    168120*ln2*z3^2 + 645120*ln2^2*z5 - 1400040*z2*z5 + 8648505*z7)/322560, 
 H[-1, -1, 1, -1, 1, 1, 1, 1] -> (-2257920*li7half - 2257920*li6half*ln2 - 
    645120*li5half*ln2^2 - 53760*li4half*ln2^3 + 512*ln2^7 - 149760*ln2*s6 - 
    576000*s7a + 149760*s7b - 2688*ln2^5*z2 + 64512*ln2^3*z2^2 + 
    182112*ln2*z2^3 + 40320*li4half*z3 - 11760*ln2^4*z3 + 
    231840*ln2^2*z2*z3 + 336960*z2^2*z3 - 488160*ln2*z3^2 - 945000*ln2^2*z5 + 
    424440*z2*z5 - 230715*z7)/322560, H[-1, -1, 1, -1, 1, 1, 0, 1] -> 
  (-3225600*li7half - 645120*li6half*ln2 + 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 640*ln2^7 + 1267200*ln2*s6 - 541440*s7a - 
    57600*s7b + 483840*li5half*z2 + 483840*li4half*ln2*z2 + 17472*ln2^5*z2 - 
    127680*ln2^3*z2^2 - 504864*ln2*z2^3 - 161280*li4half*z3 - 8400*ln2^4*z3 + 
    30240*ln2^2*z2*z3 - 453168*z2^2*z3 - 79560*ln2*z3^2 - 1098720*ln2^2*z5 - 
    790920*z2*z5 + 4931595*z7)/322560, H[-1, -1, 1, -1, 1, 1, -1, 1] -> 
  (1935360*li7half + 1935360*li6half*ln2 + 483840*li5half*ln2^2 - 
    1792*ln2^7 + 1900800*ln2*s6 + 34560*s7a - 1900800*s7b + 8064*ln2^5*z2 - 
    64512*ln2^3*z2^2 - 488544*ln2*z2^3 + 1680*ln2^4*z3 - 241920*ln2^2*z2*z3 + 
    355968*z2^2*z3 + 1015920*ln2*z3^2 + 945000*ln2^2*z5 + 5644080*z2*z5 - 
    11462445*z7)/322560, H[-1, -1, 1, -1, 1, 0, 1, 1] -> 
  (2983680*li7half + 1774080*li6half*ln2 + 443520*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 416*ln2^7 + 126720*ln2*s6 + 679680*s7a - 
    731520*s7b + 120960*li5half*z2 - 1344*ln2^5*z2 + 11088*ln2^3*z2^2 + 
    39744*ln2*z2^3 - 40320*li4half*z3 - 840*ln2^4*z3 - 100800*ln2^2*z2*z3 + 
    252648*z2^2*z3 + 482940*ln2*z3^2 + 1118250*ln2^2*z5 + 1661850*z2*z5 - 
    5683455*z7)/80640, H[-1, -1, 1, -1, 1, 0, 0, 1] -> 
  (215040*li7half + 53760*li6half*ln2 + 32*ln2^7 - 91200*ln2*s6 + 30720*s7a + 
    44160*s7b + 40320*li5half*z2 - 560*ln2^5*z2 + 6720*ln2^3*z2^2 + 
    60096*ln2*z2^3 + 840*ln2^4*z3 - 6720*ln2^2*z2*z3 + 30480*z2^2*z3 - 
    22080*ln2*z3^2 + 12180*ln2^2*z5 - 124050*z2*z5 - 169005*z7)/26880, 
 H[-1, -1, 1, -1, 1, 0, -1, 1] -> (3548160*li7half + 1612800*li6half*ln2 + 
    403200*li5half*ln2^2 + 107520*li4half*ln2^3 + 2656*ln2^7 - 
    1249920*ln2*s6 + 927360*s7a + 1128960*s7b + 241920*li5half*z2 - 
    13440*ln2^5*z2 + 52416*ln2^3*z2^2 + 690624*ln2*z2^3 - 80640*li4half*z3 + 
    18480*ln2^4*z3 - 90720*ln2^2*z2*z3 - 179424*z2^2*z3 - 284760*ln2*z3^2 - 
    322560*ln2^2*z5 - 3795120*z2*z5 + 3344985*z7)/161280, 
 H[-1, -1, 1, -1, 1, -1, 1, 1] -> 
  (-483840*li7half + 64*ln2^7 - 17280*ln2*s6 + 17280*s7a - 103680*s7b - 
    2016*ln2^5*z2 - 32256*ln2^3*z2^2 - 174816*ln2*z2^3 + 18480*ln2^4*z3 - 
    120960*ln2^2*z2*z3 + 38880*z2^2*z3 + 137520*ln2*z3^2 + 706860*ln2^2*z5 - 
    296460*z2*z5 + 938115*z7)/161280, H[-1, -1, 1, -1, 1, -1, 0, 1] -> 
  (1774080*li7half + 483840*li6half*ln2 + 320*ln2^7 - 489600*ln2*s6 + 
    368640*s7a - 115200*s7b - 3360*ln2^5*z2 + 23520*ln2^3*z2^2 + 
    227232*ln2*z2^3 + 6720*ln2^4*z3 + 110880*ln2^2*z2*z3 + 98640*z2^2*z3 + 
    9720*ln2*z3^2 + 549360*ln2^2*z5 + 943200*z2*z5 - 3269475*z7)/161280, 
 H[-1, -1, 1, -1, 1, -1, -1, 1] -> (967680*li7half + 483840*li6half*ln2 + 
    241920*li5half*ln2^2 + 80640*li4half*ln2^3 + 1856*ln2^7 - 812160*ln2*s6 + 
    691200*s7a + 933120*s7b - 6048*ln2^5*z2 + 32256*ln2^3*z2^2 + 
    319968*ln2*z2^3 - 60480*li4half*z3 - 3360*ln2^4*z3 + 136080*ln2^2*z2*z3 - 
    174528*z2^2*z3 - 423720*ln2*z3^2 - 706860*ln2^2*z5 - 2748600*z2*z5 + 
    4416525*z7)/161280, H[-1, -1, 1, -1, 0, 1, 1, 1] -> 
  (-322560*li7half - 241920*li6half*ln2 - 120960*li5half*ln2^2 - 
    40320*li4half*ln2^3 - 944*ln2^7 - 236160*ln2*s6 - 5760*s7a + 155520*s7b + 
    241920*li5half*z2 + 120960*li4half*ln2*z2 + 6720*ln2^5*z2 - 
    11760*ln2^3*z2^2 + 3744*ln2*z2^3 + 30240*li4half*z3 - 7980*ln2^4*z3 - 
    7560*ln2^2*z2*z3 - 122832*z2^2*z3 + 124470*ln2*z3^2 + 187740*ln2^2*z5 - 
    930600*z2*z5 + 1747395*z7)/80640, H[-1, -1, 1, -1, 0, 1, 0, 1] -> 
  (-1935360*li7half - 1935360*li6half*ln2 - 645120*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 1408*ln2^7 - 195840*ln2*s6 - 1336320*s7a + 
    599040*s7b - 887040*li5half*z2 - 564480*li4half*ln2*z2 - 10752*ln2^5*z2 + 
    101472*ln2^3*z2^2 + 141312*ln2*z2^3 - 322560*li4half*z3 - 
    23520*ln2^4*z3 - 50400*ln2^2*z2*z3 + 95904*z2^2*z3 - 856440*ln2*z3^2 - 
    1040760*ln2^2*z5 - 755460*z2*z5 + 3197025*z7)/161280, 
 H[-1, -1, 1, -1, 0, 1, -1, 1] -> (-8225280*li7half - 3628800*li6half*ln2 - 
    524160*li5half*ln2^2 - 13440*li4half*ln2^3 + 400*ln2^7 + 54720*ln2*s6 - 
    1909440*s7a + 2021760*s7b + 241920*li4half*ln2*z2 + 6048*ln2^5*z2 - 
    93072*ln2^3*z2^2 - 302400*ln2*z2^3 - 141120*li4half*z3 - 2520*ln2^4*z3 + 
    367920*ln2^2*z2*z3 - 500112*z2^2*z3 - 1621980*ln2*z3^2 - 
    3234420*ln2^2*z5 - 6061770*z2*z5 + 17259075*z7)/80640, 
 H[-1, -1, 1, -1, 0, 0, 1, 1] -> (-4515840*li7half - 1935360*li6half*ln2 - 
    322560*li5half*ln2^2 + 896*ln2^7 - 610560*ln2*s6 + 852480*s7a + 
    1578240*s7b - 1290240*li5half*z2 - 967680*li4half*ln2*z2 - 
    34944*ln2^5*z2 + 102144*ln2^3*z2^2 - 177504*ln2*z2^3 + 
    1572480*li4half*z3 + 75600*ln2^4*z3 - 554400*ln2^2*z2*z3 - 
    1182528*z2^2*z3 + 410400*ln2*z3^2 - 1481760*ln2^2*z5 - 1465920*z2*z5 + 
    10855125*z7)/322560, H[-1, -1, 1, -1, 0, 0, 0, 1] -> 
  (35520*ln2*s6 - 1920*s7a - 48960*s7b - 13440*li5half*z2 + 112*ln2^5*z2 - 
    336*ln2^3*z2^2 - 20376*ln2*z2^3 - 30240*li4half*z3 - 1260*ln2^4*z3 + 
    10080*ln2^2*z2*z3 + 11220*z2^2*z3 - 90*ln2*z3^2 + 32130*ln2^2*z5 + 
    128595*z2*z5 - 163245*z7)/13440, H[-1, -1, 1, -1, 0, 0, -1, 1] -> 
  (161280*li7half + 80640*li6half*ln2 + 13440*li5half*ln2^2 - 32*ln2^7 + 
    35040*ln2*s6 + 89280*s7a - 139200*s7b - 33600*li5half*z2 - 
    20160*li4half*ln2*z2 - 448*ln2^5*z2 + 2520*ln2^3*z2^2 - 32720*ln2*z2^3 + 
    40320*li4half*z3 + 1260*ln2^4*z3 - 13440*ln2^2*z2*z3 + 18516*z2^2*z3 + 
    112020*ln2*z3^2 + 188685*ln2^2*z5 + 467910*z2*z5 - 839400*z7)/13440, 
 H[-1, -1, 1, -1, 0, -1, 1, 1] -> (7983360*li7half + 3870720*li6half*ln2 + 
    766080*li5half*ln2^2 + 94080*li4half*ln2^3 + 1328*ln2^7 + 48960*ln2*s6 + 
    2047680*s7a - 1762560*s7b - 120960*li5half*z2 - 362880*li4half*ln2*z2 - 
    16128*ln2^5*z2 + 115248*ln2^3*z2^2 + 321552*ln2*z2^3 + 
    322560*li4half*z3 + 16800*ln2^4*z3 - 413280*ln2^2*z2*z3 + 
    336384*z2^2*z3 + 1551600*ln2*z3^2 + 2546460*ln2^2*z5 + 5823900*z2*z5 - 
    16136685*z7)/80640, H[-1, -1, 1, -1, 0, -1, 0, 1] -> 
  (-3870720*li7half - 3870720*li6half*ln2 - 1290240*li5half*ln2^2 - 
    215040*li4half*ln2^3 - 2816*ln2^7 + 1025280*ln2*s6 - 2880000*s7a - 
    541440*s7b - 806400*li5half*z2 - 161280*li4half*ln2*z2 + 10752*ln2^5*z2 + 
    47040*ln2^3*z2^2 - 229920*ln2*z2^3 - 1249920*li4half*z3 - 
    78960*ln2^4*z3 + 292320*ln2^2*z2*z3 + 696960*z2^2*z3 - 1195920*ln2*z3^2 - 
    1121400*ln2^2*z5 + 637920*z2*z5 + 1101825*z7)/322560, 
 H[-1, -1, 1, -1, 0, -1, -1, 1] -> (483840*li7half - 80640*li5half*ln2^2 - 
    26880*li4half*ln2^3 - 544*ln2^7 + 69120*ln2*s6 - 69120*s7a - 472320*s7b + 
    2016*ln2^5*z2 + 10752*ln2^3*z2^2 - 58080*ln2*z2^3 + 40320*li4half*z3 - 
    4480*ln2^4*z3 - 10080*ln2^2*z2*z3 + 98496*z2^2*z3 + 320160*ln2*z3^2 + 
    619920*ln2^2*z5 + 1400040*z2*z5 - 3003705*z7)/53760, 
 H[-1, -1, 1, -1, -1, 1, 1, 1] -> (-3870720*li7half - 967680*li6half*ln2 - 
    640*ln2^7 - 69120*ln2*s6 - 898560*s7a + 1278720*s7b + 4032*ln2^5*z2 - 
    64512*ln2^3*z2^2 - 181728*ln2*z2^3 + 1680*ln2^4*z3 - 364608*z2^2*z3 - 
    815760*ln2*z3^2 - 1375920*ln2^2*z5 - 4550040*z2*z5 + 11130075*z7)/322560, 
 H[-1, -1, 1, -1, -1, 1, 0, 1] -> (3870720*li7half + 967680*li6half*ln2 - 
    161280*li5half*ln2^2 - 107520*li4half*ln2^3 - 2560*ln2^7 - 
    161280*ln2*s6 - 1048320*s7b + 483840*li5half*z2 + 4032*ln2^5*z2 + 
    87360*ln2^3*z2^2 + 415584*ln2*z2^3 + 80640*li4half*z3 - 18480*ln2^4*z3 - 
    10080*ln2^2*z2*z3 + 226800*z2^2*z3 + 813960*ln2*z3^2 + 1098720*ln2^2*z5 + 
    2908080*z2*z5 - 9815085*z7)/322560, H[-1, -1, 1, -1, -1, 1, -1, 1] -> 
  (2903040*li7half - 483840*li5half*ln2^2 - 161280*li4half*ln2^3 - 
    3200*ln2^7 + 207360*ln2*s6 - 207360*s7a - 1416960*s7b + 12096*ln2^5*z2 + 
    64512*ln2^3*z2^2 + 157536*ln2*z2^3 + 120960*li4half*z3 - 31920*ln2^4*z3 - 
    30240*ln2^2*z2*z3 + 295488*z2^2*z3 + 960480*ln2*z3^2 + 1375920*ln2^2*z5 + 
    4200120*z2*z5 - 10462635*z7)/322560, H[-1, -1, 1, -1, -1, 0, 1, 1] -> 
  (-3870720*li7half - 2257920*li6half*ln2 - 537600*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 128*ln2^7 - 288000*ln2*s6 - 599040*s7a + 
    1094400*s7b - 483840*li5half*z2 - 322560*li4half*ln2*z2 - 
    10752*ln2^5*z2 + 38976*ln2^3*z2^2 - 32160*ln2*z2^3 + 241920*li4half*z3 + 
    12880*ln2^4*z3 - 53760*ln2^2*z2*z3 - 399312*z2^2*z3 - 512760*ln2*z3^2 - 
    1491000*ln2^2*z5 - 2388240*z2*z5 + 8489475*z7)/107520, 
 H[-1, -1, 1, -1, -1, 0, 0, 1] -> (-1935360*li7half + 322560*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 2176*ln2^7 + 645120*ln2*s6 + 161280*s7a - 
    80640*s7b - 645120*li5half*z2 - 161280*li4half*ln2*z2 - 9408*ln2^5*z2 - 
    53760*ln2^3*z2^2 - 642528*ln2*z2^3 - 766080*li4half*z3 - 18480*ln2^4*z3 + 
    201600*ln2^2*z2*z3 + 329616*z2^2*z3 - 531720*ln2*z3^2 - 146160*ln2^2*z5 + 
    171360*z2*z5 + 2849175*z7)/322560, H[-1, -1, 1, -1, -1, 0, -1, 1] -> 
  (-1612800*li7half - 322560*li6half*ln2 + 107520*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1216*ln2^7 - 69120*ln2*s6 + 391680*s7a + 
    149760*s7b - 322560*li5half*z2 - 161280*li4half*ln2*z2 - 8960*ln2^5*z2 - 
    8064*ln2^3*z2^2 - 302496*ln2*z2^3 + 40320*li4half*z3 + 14560*ln2^4*z3 - 
    6720*ln2^2*z2*z3 - 33984*z2^2*z3 - 75720*ln2*z3^2 + 215040*ln2^2*z5 - 
    109800*z2*z5 + 2682405*z7)/107520, H[-1, -1, 1, -1, -1, -1, 1, 1] -> 
  (645120*li7half + 241920*li6half*ln2 + 40320*li5half*ln2^2 + 
    6720*li4half*ln2^3 + 160*ln2^7 + 17280*ln2*s6 + 83520*s7a - 17280*s7b - 
    672*ln2^5*z2 + 8064*ln2^3*z2^2 + 89136*ln2*z2^3 - 5040*li4half*z3 - 
    420*ln2^4*z3 + 1260*ln2^2*z2*z3 + 10512*z2^2*z3 + 450*ln2*z3^2 - 
    120960*ln2^2*z5 + 255510*z2*z5 - 1015605*z7)/40320, 
 H[-1, -1, 1, -1, -1, -1, 0, 1] -> (-2419200*li7half - 967680*li6half*ln2 - 
    161280*li5half*ln2^2 - 26880*li4half*ln2^3 - 640*ln2^7 + 455040*ln2*s6 - 
    414720*s7a + 149760*s7b - 322560*li5half*z2 - 80640*li4half*ln2*z2 + 
    3360*ln2^5*z2 - 30240*ln2^3*z2^2 - 273312*ln2*z2^3 + 40320*li4half*z3 - 
    5040*ln2^4*z3 - 50400*ln2^2*z2*z3 - 74304*z2^2*z3 - 231120*ln2*z3^2 - 
    549360*ln2^2*z5 - 941400*z2*z5 + 4263705*z7)/161280, 
 H[-1, -1, 1, -1, -1, -1, -1, 1] -> 
  (-12600*li7half - 4200*li6half*ln2 - 420*li5half*ln2^2 - 168*ln2^3*z2^2 - 
    1920*ln2*z2^3 + 35*ln2^4*z3 + 2520*ln2^2*z5 + 12600*z7)/840, 
 H[-1, -1, 0, 1, 1, 1, 1, 1] -> (241920*li7half + 161280*li6half*ln2 + 
    40320*li5half*ln2^2 - 160*ln2^7 + 40320*s7a - 80640*li5half*z2 - 
    40320*li4half*ln2*z2 + 3360*ln2^3*z2^2 + 80640*li4half*z3 + 
    420*ln2^4*z3 - 20160*ln2^2*z2*z3 - 33768*z2^2*z3 + 39690*ln2*z3^2 + 
    40320*ln2^2*z5 + 40320*z2*z5 - 109935*z7)/80640, 
 H[-1, -1, 0, 1, 1, 1, 0, 1] -> (-142080*ln2*s6 + 142080*s7a - 126720*s7b + 
    53760*li5half*z2 - 448*ln2^5*z2 + 4480*ln2^3*z2^2 - 45472*ln2*z2^3 - 
    94080*li4half*z3 - 3920*ln2^4*z3 + 53760*ln2^2*z2*z3 + 91536*z2^2*z3 + 
    67560*ln2*z3^2 + 359520*ln2^2*z5 + 373920*z2*z5 - 714015*z7)/107520, 
 H[-1, -1, 0, 1, 1, 1, -1, 1] -> (-2257920*li7half + 645120*li6half*ln2 + 
    161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 2240*ln2^7 + 357120*ln2*s6 - 
    195840*s7a + 771840*s7b + 161280*li4half*ln2*z2 + 51072*ln2^5*z2 - 
    185472*ln2^3*z2^2 - 299232*ln2*z2^3 - 80640*li4half*z3 + 8400*ln2^4*z3 + 
    161280*ln2^2*z2*z3 - 149328*z2^2*z3 - 781560*ln2*z3^2 - 786240*ln2^2*z5 - 
    2297520*z2*z5 + 6057675*z7)/322560, H[-1, -1, 0, 1, 1, 0, 1, 1] -> 
  (63360*ln2*s6 - 103680*s7a + 138240*s7b + 53760*li5half*z2 - 448*ln2^5*z2 + 
    4480*ln2^3*z2^2 + 66912*ln2*z2^3 - 77280*ln2^2*z2*z3 - 51336*z2^2*z3 - 
    66180*ln2*z3^2 - 269640*ln2^2*z5 - 494700*z2*z5 + 739035*z7)/53760, 
 H[-1, -1, 0, 1, 1, 0, 0, 1] -> (-2688*ln2*s6 + 2688*s7a - 2688*s7b - 
    2048*ln2*z2^3 + 2688*ln2^2*z2*z3 + 1176*z2^2*z3 + 1344*ln2*z3^2 + 
    9072*ln2^2*z5 + 9744*z2*z5 - 15015*z7)/5376, 
 H[-1, -1, 0, 1, 1, 0, -1, 1] -> (5760*ln2*s6 + 4320*s7a - 5760*s7b + 
    6720*li5half*z2 - 56*ln2^5*z2 + 560*ln2^3*z2^2 - 168*ln2*z2^3 - 
    4200*ln2^2*z2*z3 + 1026*z2^2*z3 + 4245*ln2*z3^2 + 5565*ln2^2*z5 + 
    11985*z2*z5 - 26055*z7)/13440, H[-1, -1, 0, 1, 1, -1, 1, 1] -> 
  (1290240*li7half - 1290240*li6half*ln2 - 161280*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 1536*ln2^7 - 817920*ln2*s6 + 334080*s7a - 
    472320*s7b + 215040*li5half*z2 - 36736*ln2^5*z2 + 231616*ln2^3*z2^2 + 
    279264*ln2*z2^3 - 40320*li4half*z3 - 1680*ln2^4*z3 - 131040*ln2^2*z2*z3 + 
    129744*z2^2*z3 + 687240*ln2*z3^2 + 857640*ln2^2*z5 + 1126200*z2*z5 - 
    3323745*z7)/107520, H[-1, -1, 0, 1, 1, -1, 0, 1] -> 
  (-1290240*li7half + 53760*li5half*ln2^2 - 192*ln2^7 + 242880*ln2*s6 - 
    330240*s7a + 435840*s7b + 40320*li5half*z2 + 26880*li4half*ln2*z2 - 
    112*ln2^5*z2 - 56784*ln2^3*z2^2 - 66704*ln2*z2^3 - 6720*li4half*z3 - 
    280*ln2^4*z3 + 23520*ln2^2*z2*z3 - 119508*z2^2*z3 - 393690*ln2*z3^2 - 
    753900*ln2^2*z5 - 1328580*z2*z5 + 3291555*z7)/26880, 
 H[-1, -1, 0, 1, 1, -1, -1, 1] -> (-3870720*li7half + 2580480*li6half*ln2 + 
    806400*li5half*ln2^2 - 2368*ln2^7 + 1923840*ln2*s6 - 1520640*s7a + 
    2108160*s7b + 77952*ln2^5*z2 - 419328*ln2^3*z2^2 - 247392*ln2*z2^3 + 
    30240*ln2^2*z2*z3 - 600048*z2^2*z3 - 2122560*ln2*z3^2 - 
    4135320*ln2^2*z5 - 6306120*z2*z5 + 13780125*z7)/322560, 
 H[-1, -1, 0, 1, 0, 1, 1, 1] -> (-3870720*li7half - 2580480*li6half*ln2 - 
    645120*li5half*ln2^2 + 2560*ln2^7 - 115200*ln2*s6 - 288000*s7a - 
    610560*s7b + 1290240*li5half*z2 + 645120*li4half*ln2*z2 - 
    53760*ln2^3*z2^2 - 343584*ln2*z2^3 - 1290240*li4half*z3 - 6720*ln2^4*z3 + 
    806400*ln2^2*z2*z3 + 838800*z2^2*z3 - 594360*ln2*z3^2 + 519120*ln2^2*z5 + 
    1413000*z2*z5 - 1665315*z7)/322560, H[-1, -1, 0, 1, 0, 1, 0, 1] -> 
  (7680*ln2*s6 - 7680*s7a + 7680*s7b - 7680*li5half*z2 + 64*ln2^5*z2 - 
    640*ln2^3*z2^2 + 3120*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 
    3840*ln2^2*z2*z3 - 10044*z2^2*z3 + 1920*ln2*z3^2 - 25920*ln2^2*z5 - 
    21060*z2*z5 + 51015*z7)/3840, H[-1, -1, 0, 1, 0, 1, -1, 1] -> 
  (1505280*li7half + 430080*li6half*ln2 + 107520*li5half*ln2^2 + 
    35840*li4half*ln2^3 + 896*ln2^7 - 32640*ln2*s6 + 99840*s7a - 357120*s7b - 
    107520*li4half*ln2*z2 - 7168*ln2^5*z2 + 82656*ln2^3*z2^2 + 
    139392*ln2*z2^3 + 53760*li4half*z3 - 5600*ln2^4*z3 - 87360*ln2^2*z2*z3 + 
    62016*z2^2*z3 + 328500*ln2*z3^2 + 225960*ln2^2*z5 + 1063320*z2*z5 - 
    3271155*z7)/53760, H[-1, -1, 0, 1, 0, 0, 1, 1] -> 
  (-11520*ln2*s6 - 55680*s7a + 51840*s7b - 107520*li5half*z2 + 896*ln2^5*z2 - 
    8960*ln2^3*z2^2 - 20048*ln2*z2^3 + 20160*ln2^2*z2*z3 - 9360*z2^2*z3 - 
    50700*ln2*z3^2 - 17640*ln2^2*z5 - 134220*z2*z5 + 358185*z7)/26880, 
 H[-1, -1, 0, 1, 0, 0, 0, 1] -> (-13824*ln2*s6 + 13824*s7a - 7680*s7b - 
    5920*ln2*z2^3 + 3384*z2^2*z3 + 13248*ln2*z3^2 + 30912*ln2^2*z5 + 
    34488*z2*z5 - 52443*z7)/5376, H[-1, -1, 0, 1, 0, 0, -1, 1] -> 
  (-17760*ln2*s6 + 34560*s7a - 15840*s7b - 13440*li5half*z2 + 112*ln2^5*z2 - 
    1120*ln2^3*z2^2 - 14056*ln2*z2^3 + 6300*ln2^2*z2*z3 + 6591*z2^2*z3 + 
    12015*ln2*z3^2 + 66255*ln2^2*z5 + 58920*z2*z5 - 55455*z7)/6720, 
 H[-1, -1, 0, 1, 0, -1, 1, 1] -> (645120*li7half + 967680*li6half*ln2 + 
    161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 2368*ln2^7 + 365760*ln2*s6 - 
    2880*s7a - 103680*s7b - 483840*li5half*z2 + 13440*ln2^5*z2 - 
    123984*ln2^3*z2^2 - 195984*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 + 
    156240*ln2^2*z2*z3 + 40896*z2^2*z3 - 171180*ln2*z3^2 + 163170*ln2^2*z5 + 
    659250*z2*z5 - 1053315*z7)/80640, H[-1, -1, 0, 1, 0, -1, 0, 1] -> 
  (-19200*ln2*s6 + 19200*s7a + 19200*s7b + 53760*li5half*z2 - 448*ln2^5*z2 + 
    4480*ln2^3*z2^2 + 21360*ln2*z2^3 - 20160*ln2^2*z2*z3 - 10644*z2^2*z3 + 
    19800*ln2*z3^2 - 26880*ln2^2*z5 - 70260*z2*z5 + 62595*z7)/26880, 
 H[-1, -1, 0, 1, 0, -1, -1, 1] -> (-1290240*li7half - 645120*li6half*ln2 - 
    107520*li5half*ln2^2 + 256*ln2^7 - 92160*ln2*s6 - 149760*s7a + 
    334080*s7b - 896*ln2^5*z2 - 35232*ln2*z2^3 + 11760*ln2^2*z2*z3 - 
    90504*z2^2*z3 - 193080*ln2*z3^2 - 382200*ln2^2*z5 - 996480*z2*z5 + 
    2927115*z7)/53760, H[-1, -1, 0, 1, -1, 1, 1, 1] -> 
  (-967680*li7half + 1612800*li6half*ln2 + 53760*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 256*ln2^7 + 1013760*ln2*s6 - 207360*s7a + 
    303360*s7b - 322560*li5half*z2 + 23296*ln2^5*z2 - 251328*ln2^3*z2^2 - 
    328800*ln2*z2^3 + 40320*li4half*z3 + 13440*ln2^4*z3 + 
    131040*ln2^2*z2*z3 - 67056*z2^2*z3 - 667440*ln2*z3^2 - 704760*ln2^2*z5 - 
    282120*z2*z5 + 1770075*z7)/107520, H[-1, -1, 0, 1, -1, 1, 0, 1] -> 
  (2580480*li7half - 107520*li5half*ln2^2 + 384*ln2^7 - 430080*ln2*s6 + 
    564480*s7a - 846720*s7b - 67200*li5half*z2 + 2352*ln2^5*z2 + 
    81088*ln2^3*z2^2 + 138832*ln2*z2^3 + 4200*ln2^2*z2*z3 + 232596*z2^2*z3 + 
    720930*ln2*z3^2 + 1407420*ln2^2*z5 + 2552550*z2*z5 - 6494775*z7)/26880, 
 H[-1, -1, 0, 1, -1, 1, -1, 1] -> (-967680*li7half - 6128640*li6half*ln2 - 
    483840*li5half*ln2^2 - 4288*ln2^7 - 1566720*ln2*s6 - 691200*s7a - 
    933120*s7b - 77952*ln2^5*z2 + 665280*ln2^3*z2^2 + 438624*ln2*z2^3 - 
    35280*ln2^4*z3 - 60480*ln2^2*z2*z3 + 192672*z2^2*z3 + 1288080*ln2*z3^2 + 
    161280*ln2^2*z5 + 2748600*z2*z5 - 4393845*z7)/322560, 
 H[-1, -1, 0, 1, -1, 0, 1, 1] -> (-2580480*li7half - 967680*li6half*ln2 + 
    53760*li4half*ln2^3 + 1408*ln2^7 + 8640*ln2*s6 - 532800*s7a + 
    616320*s7b + 443520*li5half*z2 + 161280*li4half*ln2*z2 - 1008*ln2^5*z2 + 
    4200*ln2^3*z2^2 - 35640*ln2*z2^3 - 141120*li4half*z3 - 5880*ln2^4*z3 + 
    22680*ln2^2*z2*z3 - 126162*z2^2*z3 - 461565*ln2*z3^2 - 998865*ln2^2*z5 - 
    2430045*z2*z5 + 5652495*z7)/40320, H[-1, -1, 0, 1, -1, 0, 0, 1] -> 
  (-97920*ln2*s6 - 36480*s7a + 151680*s7b + 53760*li4half*ln2*z2 + 
    2240*ln2^5*z2 + 16800*ln2^3*z2^2 + 27472*ln2*z2^3 + 67200*li4half*z3 + 
    2800*ln2^4*z3 - 6720*ln2^2*z2*z3 - 67296*z2^2*z3 - 23340*ln2*z3^2 - 
    110460*ln2^2*z5 - 375210*z2*z5 + 640755*z7)/26880, 
 H[-1, -1, 0, 1, -1, 0, -1, 1] -> (10321920*li7half + 2580480*li6half*ln2 + 
    1536*ln2^7 - 1282560*ln2*s6 + 2250240*s7a - 2507520*s7b + 
    161280*li5half*z2 + 215040*li4half*ln2*z2 - 3136*ln2^5*z2 + 
    142464*ln2^3*z2^2 + 503712*ln2*z2^3 - 107520*li4half*z3 - 4480*ln2^4*z3 + 
    84000*ln2^2*z2*z3 + 780384*z2^2*z3 + 2052600*ln2*z3^2 + 
    4824960*ln2^2*z5 + 7348200*z2*z5 - 21785175*z7)/107520, 
 H[-1, -1, 0, 1, -1, -1, 1, 1] -> 
  (-483840*li6half*ln2 - 188160*li5half*ln2^2 + 896*ln2^7 - 374400*ln2*s6 + 
    172800*s7a - 230400*s7b + 161280*li5half*z2 - 6944*ln2^5*z2 + 
    46368*ln2^3*z2^2 + 6720*ln2*z2^3 + 66240*z2^2*z3 + 291600*ln2*z3^2 + 
    716940*ln2^2*z5 + 376920*z2*z5 - 823275*z7)/53760, 
 H[-1, -1, 0, 1, -1, -1, 0, 1] -> (-645120*li7half + 26880*li5half*ln2^2 - 
    96*ln2^7 + 129120*ln2*s6 - 199680*s7a + 264000*s7b + 6720*li5half*z2 + 
    13440*li4half*ln2*z2 + 56*ln2^5*z2 - 26992*ln2^3*z2^2 - 20360*ln2*z2^3 - 
    3360*li4half*z3 - 140*ln2^4*z3 + 1680*ln2^2*z2*z3 - 74514*z2^2*z3 - 
    223665*ln2*z3^2 - 459585*ln2^2*z5 - 758280*z2*z5 + 1814580*z7)/13440, 
 H[-1, -1, 0, 1, -1, -1, -1, 1] -> (5160960*li7half + 4193280*li6half*ln2 + 
    806400*li5half*ln2^2 + 53760*li4half*ln2^3 + 320*ln2^7 + 414720*ln2*s6 + 
    69120*s7a + 472320*s7b + 28224*ln2^5*z2 - 145152*ln2^3*z2^2 + 
    506592*ln2*z2^3 + 70560*ln2^2*z2*z3 - 114624*z2^2*z3 - 500760*ln2*z3^2 - 
    1098720*ln2^2*z5 - 1400040*z2*z5 - 2641095*z7)/322560, 
 H[-1, -1, 0, 0, 1, 1, 1, 1] -> (322560*li7half + 241920*li6half*ln2 + 
    80640*li5half*ln2^2 + 13440*li4half*ln2^3 + 160*ln2^7 - 20160*ln2*s6 + 
    80640*s7a + 40320*s7b - 120960*li5half*z2 - 80640*li4half*ln2*z2 - 
    2688*ln2^5*z2 + 10080*ln2^3*z2^2 + 19392*ln2*z2^3 + 151200*li4half*z3 + 
    6300*ln2^4*z3 - 75600*ln2^2*z2*z3 - 99288*z2^2*z3 + 95130*ln2*z3^2 + 
    1260*ln2^2*z5 - 58590*z2*z5 + 162855*z7)/40320, 
 H[-1, -1, 0, 0, 1, 1, 0, 1] -> (1920*ln2*s6 - 1920*s7a - 15360*s7b + 
    26880*li5half*z2 + 13440*li4half*ln2*z2 + 336*ln2^5*z2 - 
    1120*ln2^3*z2^2 - 3312*ln2*z2^3 - 50400*li4half*z3 - 2100*ln2^4*z3 + 
    12600*ln2^2*z2*z3 + 35412*z2^2*z3 - 22980*ln2*z3^2 + 22680*ln2^2*z5 + 
    29160*z2*z5 - 138885*z7)/13440, H[-1, -1, 0, 0, 1, 1, -1, 1] -> 
  (-645120*li7half - 967680*li6half*ln2 - 322560*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 3008*ln2^7 - 253440*ln2*s6 + 414720*s7a - 
    149760*s7b + 322560*li4half*ln2*z2 + 30912*ln2^5*z2 - 72576*ln2^3*z2^2 - 
    147552*ln2*z2^3 - 161280*li4half*z3 - 6720*ln2^4*z3 + 
    120960*ln2^2*z2*z3 + 156960*z2^2*z3 - 15840*ln2*z3^2 + 932400*ln2^2*z5 + 
    457560*z2*z5 + 51795*z7)/161280, H[-1, -1, 0, 0, 1, 0, 1, 1] -> 
  (21120*ln2*s6 + 46080*s7a - 115200*s7b + 107520*li5half*z2 + 
    53760*li4half*ln2*z2 + 1344*ln2^5*z2 - 4480*ln2^3*z2^2 - 16480*ln2*z2^3 - 
    33600*li4half*z3 - 1400*ln2^4*z3 + 48720*ln2^2*z2*z3 + 44544*z2^2*z3 + 
    27780*ln2*z3^2 + 108360*ln2^2*z5 + 343020*z2*z5 - 749475*z7)/26880, 
 H[-1, -1, 0, 0, 1, 0, 0, 1] -> (2880*ln2*s6 - 2880*s7a + 3840*s7b + 
    1756*ln2*z2^3 + 1680*li4half*z3 + 70*ln2^4*z3 - 420*ln2^2*z2*z3 - 
    2497*z2^2*z3 - 2445*ln2*z3^2 - 9660*ln2^2*z5 - 14395*z2*z5 + 25700*z7)/
   1120, H[-1, -1, 0, 0, 1, 0, -1, 1] -> 
  (124800*ln2*s6 - 192000*s7a + 9600*s7b + 53760*li5half*z2 + 
    26880*li4half*ln2*z2 + 672*ln2^5*z2 - 2240*ln2^3*z2^2 + 37744*ln2*z2^3 - 
    13440*li4half*z3 - 560*ln2^4*z3 - 8388*z2^2*z3 - 57300*ln2*z3^2 - 
    251580*ln2^2*z5 - 67260*z2*z5 - 119325*z7)/26880, 
 H[-1, -1, 0, 0, 1, -1, 1, 1] -> (-4515840*li7half - 645120*li6half*ln2 - 
    645120*li5half*ln2^2 - 107520*li4half*ln2^3 + 896*ln2^7 + 126720*ln2*s6 - 
    1013760*s7a + 1486080*s7b + 645120*li5half*z2 - 37632*ln2^5*z2 - 
    55104*ln2^3*z2^2 + 66912*ln2*z2^3 + 80640*li4half*z3 - 20160*ln2^4*z3 + 
    221760*ln2^2*z2*z3 - 457488*z2^2*z3 - 1105920*ln2*z3^2 - 
    2431800*ln2^2*z5 - 4131000*z2*z5 + 9915345*z7)/322560, 
 H[-1, -1, 0, 0, 1, -1, 0, 1] -> (101760*ln2*s6 + 32640*s7a - 48000*s7b - 
    53760*li5half*z2 - 26880*li4half*ln2*z2 - 672*ln2^5*z2 - 
    28000*ln2^3*z2^2 - 22224*ln2*z2^3 + 6720*li4half*z3 + 280*ln2^4*z3 - 
    13440*ln2^2*z2*z3 + 8844*z2^2*z3 + 13920*ln2*z3^2 + 19740*ln2^2*z5 + 
    111180*z2*z5 - 67815*z7)/26880, H[-1, -1, 0, 0, 1, -1, -1, 1] -> 
  (-1935360*li7half + 645120*li6half*ln2 + 645120*li5half*ln2^2 - 
    4096*ln2^7 + 2039040*ln2*s6 - 1635840*s7a + 57600*s7b + 32256*ln2^5*z2 - 
    120960*ln2^3*z2^2 - 188448*ln2*z2^3 + 23520*ln2^4*z3 - 
    241920*ln2^2*z2*z3 - 93168*z2^2*z3 - 684000*ln2*z3^2 - 2411640*ln2^2*z5 - 
    222120*z2*z5 + 1040175*z7)/322560, H[-1, -1, 0, 0, 0, 1, 1, 1] -> 
  (40320*ln2*s6 - 40320*s7a + 2272*ln2*z2^3 - 53760*li4half*z3 - 
    2240*ln2^4*z3 + 25200*z2^2*z3 - 43680*ln2*z3^2 - 51240*ln2^2*z5 - 
    1260*z2*z5 - 49035*z7)/26880, H[-1, -1, 0, 0, 0, 1, 0, 1] -> 
  (-107520*ln2*s6 + 107520*s7a - 7648*ln2*z2^3 + 107520*li4half*z3 + 
    4480*ln2^4*z3 - 26880*ln2^2*z2*z3 - 50400*z2^2*z3 + 114240*ln2*z3^2 + 
    154560*ln2^2*z5 + 28140*z2*z5 + 71925*z7)/26880, 
 H[-1, -1, 0, 0, 0, 1, -1, 1] -> (-35520*ln2*s6 + 8640*s7a + 25440*s7b - 
    20160*li4half*ln2*z2 - 840*ln2^5*z2 + 7560*ln2^3*z2^2 + 11084*ln2*z2^3 + 
    13440*li4half*z3 + 560*ln2^4*z3 - 12180*ln2^2*z2*z3 - 13047*z2^2*z3 + 
    8910*ln2*z3^2 - 6720*ln2^2*z5 - 75255*z2*z5 + 144555*z7)/6720, 
 H[-1, -1, 0, 0, 0, 0, 1, 1] -> (1920*ln2*s6 - 3840*s7a - 3840*li4half*z3 - 
    160*ln2^4*z3 + 960*ln2^2*z2*z3 + 1824*z2^2*z3 - 3360*ln2*z3^2 - 
    2760*ln2^2*z5 - 3720*z2*z5 + 1815*z7)/1920, 
 H[-1, -1, 0, 0, 0, 0, 0, 1] -> (-992*ln2*z2^3 + 1568*z2^2*z3 + 2240*z2*z5 - 
    8785*z7)/4480, H[-1, -1, 0, 0, 0, 0, -1, 1] -> 
  (640*ln2*s6 - 640*s7b - 224*ln2*z2^3 - 960*li4half*z3 - 40*ln2^4*z3 + 
    240*ln2^2*z2*z3 + 652*z2^2*z3 - 480*ln2*z3^2 + 300*ln2^2*z5 + 
    1610*z2*z5 - 3175*z7)/640, H[-1, -1, 0, 0, 0, -1, 1, 1] -> 
  (48960*ln2*s6 - 28800*s7a - 28800*s7b + 40320*li4half*ln2*z2 + 
    1680*ln2^5*z2 - 15120*ln2^3*z2^2 - 20144*ln2*z2^3 - 43680*li4half*z3 - 
    1820*ln2^4*z3 + 26040*ln2^2*z2*z3 + 28188*z2^2*z3 - 33690*ln2*z3^2 + 
    19110*ln2^2*z5 + 52050*z2*z5 - 131955*z7)/13440, 
 H[-1, -1, 0, 0, 0, -1, 0, 1] -> (-19968*ln2*s6 + 19968*s7a - 1536*s7b - 
    2272*ln2*z2^3 + 16128*li4half*z3 + 672*ln2^4*z3 - 4032*ln2^2*z2*z3 - 
    6984*z2^2*z3 + 19584*ln2*z3^2 + 31584*ln2^2*z5 + 21060*z2*z5 - 15285*z7)/
   5376, H[-1, -1, 0, 0, 0, -1, -1, 1] -> 
  (-32640*ln2*s6 + 99840*s7a - 34560*s7b - 19808*ln2*z2^3 - 6720*li4half*z3 - 
    280*ln2^4*z3 + 8400*ln2^2*z2*z3 + 16488*z2^2*z3 + 26940*ln2*z3^2 + 
    118020*ln2^2*z5 + 105720*z2*z5 - 108345*z7)/26880, 
 H[-1, -1, 0, 0, -1, 1, 1, 1] -> (-1935360*li7half - 2580480*li6half*ln2 - 
    322560*li5half*ln2^2 - 512*ln2^7 - 403200*ln2*s6 - 564480*s7a + 
    241920*s7b + 967680*li5half*z2 + 322560*li4half*ln2*z2 + 24192*ln2^5*z2 + 
    92736*ln2^3*z2^2 + 228192*ln2*z2^3 - 645120*li4half*z3 - 50400*ln2^4*z3 - 
    70560*ln2^2*z2*z3 + 128016*z2^2*z3 - 143640*ln2*z3^2 - 400680*ln2^2*z5 - 
    2063880*z2*z5 + 3547845*z7)/322560, H[-1, -1, 0, 0, -1, 1, 0, 1] -> 
  (-72960*ln2*s6 + 5760*s7a + 46080*s7b - 13440*li5half*z2 - 
    13440*li4half*ln2*z2 - 448*ln2^5*z2 + 17360*ln2^3*z2^2 + 10728*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 12600*ln2^2*z2*z3 - 22362*z2^2*z3 + 
    13290*ln2*z3^2 - 3150*ln2^2*z5 - 103965*z2*z5 + 209910*z7)/13440, 
 H[-1, -1, 0, 0, -1, 1, -1, 1] -> (80640*li7half + 322560*li6half*ln2 + 
    40320*li5half*ln2^2 + 13440*li4half*ln2^3 + 656*ln2^7 - 76320*ln2*s6 + 
    96480*s7a + 106560*s7b - 40320*li4half*ln2*z2 - 8064*ln2^5*z2 - 
    3528*ln2^3*z2^2 - 4800*ln2*z2^3 + 20160*li4half*z3 + 3780*ln2^4*z3 - 
    2520*ln2^2*z2*z3 - 31644*z2^2*z3 - 35325*ln2*z3^2 + 40320*ln2^2*z5 - 
    313335*z2*z5 + 549900*z7)/40320, H[-1, -1, 0, 0, -1, 0, 1, 1] -> 
  (-7680*ln2*s6 + 27840*s7a - 25920*s7b - 26880*li5half*z2 - 
    26880*li4half*ln2*z2 - 896*ln2^5*z2 + 4480*ln2^3*z2^2 - 8776*ln2*z2^3 + 
    16800*li4half*z3 + 700*ln2^4*z3 - 840*ln2^2*z2*z3 + 1782*z2^2*z3 + 
    25140*ln2*z3^2 + 36960*ln2^2*z5 + 123600*z2*z5 - 148695*z7)/13440, 
 H[-1, -1, 0, 0, -1, 0, 0, 1] -> (8000*ln2*s6 - 8000*s7a + 5440*s7b + 
    2792*ln2*z2^3 - 3360*li4half*z3 - 140*ln2^4*z3 + 840*ln2^2*z2*z3 - 
    10*z2^2*z3 - 8880*ln2*z3^2 - 19740*ln2^2*z5 - 21440*z2*z5 + 30505*z7)/
   2240, H[-1, -1, 0, 0, -1, 0, -1, 1] -> 
  (192000*ln2*s6 - 272640*s7a + 76800*s7b - 53760*li5half*z2 - 
    53760*li4half*ln2*z2 - 1792*ln2^5*z2 + 8960*ln2^3*z2^2 + 67360*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 47040*ln2^2*z2*z3 - 43416*z2^2*z3 - 
    90480*ln2*z3^2 - 486360*ln2^2*z5 - 184020*z2*z5 + 205125*z7)/53760, 
 H[-1, -1, 0, 0, -1, -1, 1, 1] -> (645120*li7half + 40320*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 656*ln2^7 - 103680*ln2*s6 + 164160*s7a - 
    239040*s7b - 672*ln2^5*z2 + 28728*ln2^3*z2^2 + 26664*ln2*z2^3 - 
    20160*li4half*z3 - 840*ln2^4*z3 + 6300*ln2^2*z2*z3 + 77418*z2^2*z3 + 
    184095*ln2*z3^2 + 343035*ln2^2*z5 + 714780*z2*z5 - 1777590*z7)/40320, 
 H[-1, -1, 0, 0, -1, -1, 0, 1] -> (13440*ln2*s6 - 13440*s7a + 13440*s7b + 
    26880*li5half*z2 + 26880*li4half*ln2*z2 + 896*ln2^5*z2 - 
    4480*ln2^3*z2^2 + 7776*ln2*z2^3 - 6720*li4half*z3 - 280*ln2^4*z3 + 
    1680*ln2^2*z2*z3 - 1764*z2^2*z3 - 16800*ln2*z3^2 - 32760*ln2^2*z5 - 
    66570*z2*z5 + 59955*z7)/26880, H[-1, -1, 0, 0, -1, -1, -1, 1] -> 
  (1290240*li7half - 322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 
    2048*ln2^7 + 230400*ln2*s6 - 230400*s7a - 311040*s7b + 5376*ln2^5*z2 + 
    209760*ln2*z2^3 - 80640*ln2^2*z2*z3 + 66240*z2^2*z3 + 158040*ln2*z3^2 - 
    10080*ln2^2*z5 + 916200*z2*z5 - 3084975*z7)/322560, 
 H[-1, -1, 0, -1, 1, 1, 1, 1] -> (-215040*li7half - 752640*li6half*ln2 + 
    107520*li5half*ln2^2 + 71680*li4half*ln2^3 + 1088*ln2^7 - 529920*ln2*s6 + 
    99840*s7a + 234240*s7b + 107520*li5half*z2 - 161280*li4half*ln2*z2 - 
    15232*ln2^5*z2 + 108416*ln2^3*z2^2 + 157344*ln2*z2^3 + 
    268800*li4half*z3 + 11200*ln2^4*z3 - 184800*ln2^2*z2*z3 - 
    295152*z2^2*z3 + 333120*ln2*z3^2 - 53760*ln2^2*z5 - 1030800*z2*z5 + 
    2371965*z7)/107520, H[-1, -1, 0, -1, 1, 1, 0, 1] -> 
  (-2580480*li7half + 107520*li5half*ln2^2 - 384*ln2^7 + 420480*ln2*s6 - 
    514560*s7a + 695040*s7b + 107520*li5half*z2 + 26880*li4half*ln2*z2 - 
    1568*ln2^5*z2 - 64288*ln2^3*z2^2 - 181504*ln2*z2^3 - 147840*li4half*z3 - 
    6160*ln2^4*z3 + 38640*ln2^2*z2*z3 - 66264*z2^2*z3 - 741060*ln2*z3^2 - 
    1195320*ln2^2*z5 - 2115180*z2*z5 + 5460585*z7)/53760, 
 H[-1, -1, 0, -1, 1, 1, -1, 1] -> (645120*li7half + 322560*li6half*ln2 - 
    215040*li5half*ln2^2 - 53760*li4half*ln2^3 - 128*ln2^7 - 241920*ln2*s6 + 
    564480*s7a - 241920*s7b + 161280*li4half*ln2*z2 - 1792*ln2^5*z2 - 
    51072*ln2^3*z2^2 - 85920*ln2*z2^3 - 80640*li4half*z3 - 3360*ln2^4*z3 + 
    90720*ln2^2*z2*z3 + 156240*z2^2*z3 + 73080*ln2*z3^2 + 1121400*ln2^2*z5 + 
    735840*z2*z5 - 1622565*z7)/107520, H[-1, -1, 0, -1, 1, 0, 1, 1] -> 
  (10321920*li7half + 3870720*li6half*ln2 - 215040*li4half*ln2^3 - 
    5632*ln2^7 + 172800*ln2*s6 + 1681920*s7a - 2430720*s7b - 
    1290240*li5half*z2 - 161280*li4half*ln2*z2 + 20160*ln2^5*z2 - 
    97440*ln2^3*z2^2 + 183168*ln2*z2^3 + 262080*li4half*z3 + 10920*ln2^4*z3 + 
    136080*ln2^2*z2*z3 + 555192*z2^2*z3 + 1517760*ln2*z3^2 + 
    3660300*ln2^2*z5 + 9308700*z2*z5 - 22949775*z7)/161280, 
 H[-1, -1, 0, -1, 1, 0, 0, 1] -> (44160*ln2*s6 + 23040*s7a - 71040*s7b - 
    26880*li4half*ln2*z2 - 1120*ln2^5*z2 - 8400*ln2^3*z2^2 - 15856*ln2*z2^3 - 
    3360*li4half*z3 - 140*ln2^4*z3 - 1680*ln2^2*z2*z3 + 4170*z2^2*z3 + 
    38040*ln2*z3^2 + 61950*ln2^2*z5 + 184635*z2*z5 - 253725*z7)/13440, 
 H[-1, -1, 0, -1, 1, 0, -1, 1] -> (-5160960*li7half - 1290240*li6half*ln2 - 
    768*ln2^7 + 888960*ln2*s6 - 1292160*s7a + 1006080*s7b - 
    26880*li4half*ln2*z2 + 4256*ln2^5*z2 - 84672*ln2^3*z2^2 - 
    299232*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 11760*ln2^2*z2*z3 - 
    328560*z2^2*z3 - 983520*ln2*z3^2 - 2378880*ln2^2*z5 - 2954100*z2*z5 + 
    9382725*z7)/53760, H[-1, -1, 0, -1, 1, -1, 1, 1] -> 
  (-2903040*li7half + 4193280*li6half*ln2 - 161280*li4half*ln2^3 - 
    320*ln2^7 + 2672640*ln2*s6 - 1140480*s7a + 1762560*s7b + 
    102144*ln2^5*z2 - 665280*ln2^3*z2^2 - 292320*ln2*z2^3 + 
    120960*li4half*z3 - 30240*ln2^4*z3 + 241920*ln2^2*z2*z3 - 
    561168*z2^2*z3 - 2247120*ln2*z3^2 - 3822840*ln2^2*z5 - 4096440*z2*z5 + 
    9357255*z7)/322560, H[-1, -1, 0, -1, 1, -1, 0, 1] -> 
  (10321920*li7half - 430080*li5half*ln2^2 + 1536*ln2^7 - 1800960*ln2*s6 + 
    2338560*s7a - 3306240*s7b - 430080*li5half*z2 - 161280*li4half*ln2*z2 + 
    4032*ln2^5*z2 + 351232*ln2^3*z2^2 + 527072*ln2*z2^3 + 40320*li4half*z3 + 
    1680*ln2^4*z3 - 107520*ln2^2*z2*z3 + 899136*z2^2*z3 + 3017280*ln2*z3^2 + 
    5723760*ln2^2*z5 + 9907800*z2*z5 - 25113375*z7)/107520, 
 H[-1, -1, 0, -1, 1, -1, -1, 1] -> (483840*li7half - 483840*li6half*ln2 - 
    53760*li5half*ln2^2 - 320*ln2^7 - 11520*ln2*s6 - 69120*s7a - 472320*s7b - 
    12544*ln2^5*z2 + 73920*ln2^3*z2^2 + 21792*ln2*z2^3 + 5880*ln2^4*z3 - 
    70560*ln2^2*z2*z3 + 114624*z2^2*z3 + 349560*ln2*z3^2 + 441840*ln2^2*z5 + 
    1400040*z2*z5 - 3003705*z7)/53760, H[-1, -1, 0, -1, 0, 1, 1, 1] -> 
  (-967680*li7half - 645120*li6half*ln2 - 161280*li5half*ln2^2 + 640*ln2^7 + 
    195840*ln2*s6 - 296640*s7a - 115200*s7b + 322560*li5half*z2 + 
    161280*li4half*ln2*z2 - 13440*ln2^3*z2^2 - 45216*ln2*z2^3 - 
    564480*li4half*z3 - 11760*ln2^4*z3 + 168840*ln2^2*z2*z3 + 
    321408*z2^2*z3 - 395370*ln2*z3^2 - 207900*ln2^2*z5 + 235080*z2*z5 - 
    509445*z7)/80640, H[-1, -1, 0, -1, 0, 1, 0, 1] -> 
  (-142080*ln2*s6 + 142080*s7a + 142080*s7b - 53760*li5half*z2 + 
    448*ln2^5*z2 - 4480*ln2^3*z2^2 + 20208*ln2*z2^3 + 255360*li4half*z3 + 
    10640*ln2^4*z3 - 30240*ln2^2*z2*z3 - 162732*z2^2*z3 + 138120*ln2*z3^2 - 
    26880*ln2^2*z5 - 398670*z2*z5 + 1015125*z7)/26880, 
 H[-1, -1, 0, -1, 0, 1, -1, 1] -> (752640*li7half + 215040*li6half*ln2 + 
    53760*li5half*ln2^2 + 17920*li4half*ln2^3 + 448*ln2^7 - 218880*ln2*s6 + 
    144960*s7a + 17280*s7b - 174720*li4half*ln2*z2 - 8624*ln2^5*z2 + 
    66528*ln2^3*z2^2 + 144576*ln2*z2^3 + 107520*li4half*z3 + 560*ln2^4*z3 - 
    127680*ln2^2*z2*z3 - 55536*z2^2*z3 + 188550*ln2*z3^2 + 69300*ln2^2*z5 - 
    46770*z2*z5 - 504165*z7)/26880, H[-1, -1, 0, -1, 0, 0, 1, 1] -> 
  (14880*ln2*s6 - 38400*s7a + 1920*s7b - 26880*li5half*z2 + 224*ln2^5*z2 - 
    2240*ln2^3*z2^2 - 5824*ln2*z2^3 - 20160*li4half*z3 - 840*ln2^4*z3 + 
    7980*ln2^2*z2*z3 + 10158*z2^2*z3 - 27315*ln2*z3^2 - 15120*ln2^2*z5 - 
    22020*z2*z5 + 37980*z7)/6720, H[-1, -1, 0, -1, 0, 0, 0, 1] -> 
  (-15360*ln2*s6 + 15360*s7a - 6144*s7b - 6080*ln2*z2^3 + 7176*z2^2*z3 + 
    13824*ln2*z3^2 + 31584*ln2^2*z5 + 33504*z2*z5 - 62379*z7)/5376, 
 H[-1, -1, 0, -1, 0, 0, -1, 1] -> (-32640*ln2*s6 + 126720*s7a - 101760*s7b - 
    53760*li5half*z2 + 448*ln2^5*z2 - 4480*ln2^3*z2^2 - 64928*ln2*z2^3 - 
    60480*li4half*z3 - 2520*ln2^4*z3 + 28560*ln2^2*z2*z3 + 65628*z2^2*z3 + 
    16860*ln2*z3^2 + 281820*ln2^2*z5 + 321390*z2*z5 - 407175*z7)/26880, 
 H[-1, -1, 0, -1, 0, -1, 1, 1] -> (2580480*li7half + 3870720*li6half*ln2 + 
    645120*li5half*ln2^2 - 215040*li4half*ln2^3 - 9472*ln2^7 + 
    3098880*ln2*s6 - 1566720*s7a - 1969920*s7b - 1935360*li5half*z2 + 
    1451520*li4half*ln2*z2 + 114240*ln2^5*z2 - 798336*ln2^3*z2^2 - 
    1566432*ln2*z2^3 - 1411200*li4half*z3 - 58800*ln2^4*z3 + 
    1703520*ln2^2*z2*z3 + 1309248*z2^2*z3 - 1630800*ln2*z3^2 + 
    1300320*ln2^2*z5 + 6033600*z2*z5 - 12256425*z7)/322560, 
 H[-1, -1, 0, -1, 0, -1, 0, 1] -> (-430080*ln2*s6 + 430080*s7a + 215040*s7b + 
    107520*li5half*z2 - 896*ln2^5*z2 + 8960*ln2^3*z2^2 + 37920*ln2*z2^3 + 
    241920*li4half*z3 + 10080*ln2^4*z3 - 33600*ln2^2*z2*z3 - 163800*z2^2*z3 + 
    228480*ln2*z3^2 + 262080*ln2^2*z5 - 454020*z2*z5 + 1084335*z7)/53760, 
 H[-1, -1, 0, -1, 0, -1, -1, 1] -> (-1290240*li7half - 645120*li6half*ln2 - 
    107520*li5half*ln2^2 + 256*ln2^7 - 270720*ln2*s6 + 230400*s7a + 
    311040*s7b - 896*ln2^5*z2 - 77664*ln2*z2^3 - 20160*li4half*z3 - 
    840*ln2^4*z3 + 45360*ln2^2*z2*z3 - 58176*z2^2*z3 - 141240*ln2*z3^2 - 
    47460*ln2^2*z5 - 916200*z2*z5 + 3084975*z7)/53760, 
 H[-1, -1, 0, -1, -1, 1, 1, 1] -> (967680*li7half - 1290240*li6half*ln2 - 
    161280*li5half*ln2^2 - 80640*li4half*ln2^3 - 4000*ln2^7 - 28800*ln2*s6 - 
    172800*s7a - 414720*s7b + 483840*li5half*z2 + 483840*li4half*ln2*z2 + 
    13440*ln2^5*z2 + 46368*ln2^3*z2^2 + 188640*ln2*z2^3 - 907200*li4half*z3 - 
    37800*ln2^4*z3 + 211680*ln2^2*z2*z3 + 456408*z2^2*z3 - 105120*ln2*z3^2 + 
    2520*ln2^2*z5 + 1108620*z2*z5 - 3882195*z7)/161280, 
 H[-1, -1, 0, -1, -1, 1, 0, 1] -> (-2580480*li7half + 107520*li5half*ln2^2 - 
    384*ln2^7 + 228480*ln2*s6 - 215040*s7a + 672000*s7b - 53760*li5half*z2 - 
    134400*li4half*ln2*z2 - 6944*ln2^5*z2 - 47488*ln2^3*z2^2 - 
    189824*ln2*z2^3 + 315840*li4half*z3 + 13160*ln2^4*z3 - 
    57120*ln2^2*z2*z3 - 305088*z2^2*z3 - 399420*ln2*z3^2 - 900900*ln2^2*z5 - 
    1992060*z2*z5 + 6013665*z7)/53760, H[-1, -1, 0, -1, -1, 1, -1, 1] -> 
  (645120*li7half + 1290240*li6half*ln2 + 215040*li5half*ln2^2 + 
    107520*li4half*ln2^3 + 4352*ln2^7 - 311040*ln2*s6 + 391680*s7a + 
    149760*s7b - 322560*li4half*ln2*z2 - 6272*ln2^5*z2 - 1344*ln2^3*z2^2 + 
    13920*ln2*z2^3 + 161280*li4half*z3 + 6720*ln2^4*z3 + 30240*ln2^2*z2*z3 - 
    82368*z2^2*z3 + 53640*ln2*z3^2 + 258720*ln2^2*z5 - 432360*z2*z5 + 
    424485*z7)/107520, H[-1, -1, 0, -1, -1, 0, 1, 1] -> 
  (-32640*ln2*s6 - 34560*s7a + 46080*s7b - 107520*li5half*z2 - 
    53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 4480*ln2^3*z2^2 - 5856*ln2*z2^3 + 
    33600*li4half*z3 + 1400*ln2^4*z3 - 11200*ln2^2*z2*z3 - 26688*z2^2*z3 - 
    1900*ln2*z3^2 - 20440*ln2^2*z5 - 95460*z2*z5 + 326355*z7)/17920, 
 H[-1, -1, 0, -1, -1, 0, 0, 1] -> (49920*ln2*s6 - 49920*s7a - 23040*s7b - 
    9664*ln2*z2^3 - 60480*li4half*z3 - 2520*ln2^4*z3 + 8400*ln2^2*z2*z3 + 
    27288*z2^2*z3 - 25440*ln2*z3^2 - 32760*ln2^2*z5 + 127320*z2*z5 - 
    259095*z7)/26880, H[-1, -1, 0, -1, -1, 0, -1, 1] -> 
  (157440*ln2*s6 - 23040*s7a - 157440*s7b - 107520*li5half*z2 - 
    53760*li4half*ln2*z2 - 1344*ln2^5*z2 + 4480*ln2^3*z2^2 - 49056*ln2*z2^3 + 
    26880*li4half*z3 + 1120*ln2^4*z3 - 32480*ln2^2*z2*z3 + 27456*z2^2*z3 + 
    68920*ln2*z3^2 + 49560*ln2^2*z5 + 574200*z2*z5 - 839955*z7)/35840, 
 H[-1, -1, 0, -1, -1, -1, 1, 1] -> (-161280*li7half + 967680*li6half*ln2 + 
    645120*li5half*ln2^2 + 53760*li4half*ln2^3 - 1760*ln2^7 + 777600*ln2*s6 - 
    414720*s7a + 149760*s7b - 806400*li5half*z2 + 6048*ln2^5*z2 - 
    93408*ln2^3*z2^2 - 370080*ln2*z2^3 - 40320*li4half*z3 + 4200*ln2^4*z3 - 
    25200*ln2^2*z2*z3 - 42048*z2^2*z3 - 389880*ln2*z3^2 - 549360*ln2^2*z5 - 
    457560*z2*z5 + 2005785*z7)/161280, H[-1, -1, 0, -1, -1, -1, 0, 1] -> 
  (-27840*ln2*s6 + 27840*s7a - 5760*s7b + 40320*li5half*z2 + 
    20160*li4half*ln2*z2 + 504*ln2^5*z2 - 1680*ln2^3*z2^2 - 112*ln2*z2^3 - 
    5040*li4half*z3 - 210*ln2^4*z3 + 7560*ln2^2*z2*z3 + 4848*z2^2*z3 + 
    9600*ln2*z3^2 + 52710*ln2^2*z5 + 44850*z2*z5 - 123495*z7)/13440, 
 H[-1, -1, 0, -1, -1, -1, -1, 1] -> (-302400*li7half - 201600*li6half*ln2 - 
    60480*li5half*ln2^2 - 10080*li4half*ln2^3 - 136*ln2^7 + 420*ln2^5*z2 - 
    23040*ln2*z2^3 - 735*ln2^4*z3 + 10080*ln2^2*z5 + 302400*z7)/20160, 
 H[-1, -1, -1, 1, 1, 1, 1, 1] -> (161280*li7half + 161280*li6half*ln2 + 
    40320*li5half*ln2^2 - 128*ln2^7 + 40320*s7a + 672*ln2^5*z2 - 
    5376*ln2^3*z2^2 - 13248*ln2*z2^3 - 20160*ln2^2*z2*z3 - 34272*z2^2*z3 + 
    40320*ln2*z3^2 + 79380*ln2^2*z5 - 79380*z2*z5 + 121905*z7)/80640, 
 H[-1, -1, -1, 1, 1, 1, 0, 1] -> (4838400*li7half + 1935360*li6half*ln2 + 
    161280*li5half*ln2^2 - 53760*li4half*ln2^3 - 1856*ln2^7 - 541440*ln2*s6 + 
    1025280*s7a - 910080*s7b - 161280*li5half*z2 - 161280*li4half*ln2*z2 + 
    2688*ln2^5*z2 + 48384*ln2^3*z2^2 + 249696*ln2*z2^3 + 40320*li4half*z3 - 
    11760*ln2^4*z3 - 10080*ln2^2*z2*z3 + 432000*z2^2*z3 + 676800*ln2*z3^2 + 
    2026080*ln2^2*z5 + 3051360*z2*z5 - 9664785*z7)/322560, 
 H[-1, -1, -1, 1, 1, 1, -1, 1] -> (-322560*li7half - 322560*li6half*ln2 - 
    107520*li5half*ln2^2 - 17920*li4half*ln2^3 - 256*ln2^7 - 303360*ln2*s6 - 
    19200*s7a + 303360*s7b + 896*ln2^5*z2 + 7168*ln2^3*z2^2 + 
    70752*ln2*z2^3 - 3920*ln2^4*z3 + 26880*ln2^2*z2*z3 - 63360*z2^2*z3 - 
    139080*ln2*z3^2 - 105840*ln2^2*z5 - 901200*z2*z5 + 1851555*z7)/107520, 
 H[-1, -1, -1, 1, 1, 0, 1, 1] -> (-1451520*li7half - 887040*li6half*ln2 - 
    201600*li5half*ln2^2 + 736*ln2^7 + 23040*ln2*s6 - 365760*s7a + 
    299520*s7b - 40320*li5half*z2 - 3360*ln2^5*z2 - 2352*ln2^3*z2^2 - 
    12240*ln2*z2^3 + 30240*li4half*z3 + 10920*ln2^4*z3 + 27720*ln2^2*z2*z3 - 
    112068*z2^2*z3 - 214020*ln2*z3^2 - 619920*ln2^2*z5 - 722340*z2*z5 + 
    2540205*z7)/80640, H[-1, -1, -1, 1, 1, 0, 0, 1] -> 
  (-1935360*li7half - 1935360*li6half*ln2 - 645120*li5half*ln2^2 - 
    107520*li4half*ln2^3 - 1408*ln2^7 - 564480*ln2*s6 + 80640*s7a + 
    80640*s7b - 806400*li5half*z2 - 322560*li4half*ln2*z2 - 1344*ln2^5*z2 + 
    53760*ln2^3*z2^2 - 307296*ln2*z2^3 + 80640*li4half*z3 - 10080*ln2^4*z3 - 
    30240*ln2^2*z2*z3 - 199584*z2^2*z3 + 302400*ln2*z3^2 + 771120*ln2^2*z5 + 
    383040*z2*z5 + 3235365*z7)/322560, H[-1, -1, -1, 1, 1, 0, -1, 1] -> 
  (-241920*li7half - 403200*li6half*ln2 - 120960*li5half*ln2^2 + 496*ln2^7 + 
    31680*ln2*s6 + 109440*s7a - 414720*s7b - 40320*li5half*z2 - 
    2016*ln2^5*z2 + 12768*ln2^3*z2^2 - 130176*ln2*z2^3 + 2100*ln2^4*z3 + 
    17640*ln2^2*z2*z3 + 105120*z2^2*z3 + 251460*ln2*z3^2 + 580860*ln2^2*z5 + 
    1314000*z2*z5 - 1900215*z7)/80640, H[-1, -1, -1, 1, 1, -1, 1, 1] -> 
  (322560*li7half + 241920*li6half*ln2 + 120960*li5half*ln2^2 + 
    40320*li4half*ln2^3 + 928*ln2^7 + 210240*ln2*s6 + 31680*s7a - 
    190080*s7b - 3696*ln2^5*z2 + 5376*ln2^3*z2^2 - 7152*ln2*z2^3 + 
    5880*ln2^4*z3 + 20160*ln2^2*z2*z3 + 47088*z2^2*z3 + 35820*ln2*z3^2 - 
    118440*ln2^2*z5 + 666090*z2*z5 - 1457685*z7)/80640, 
 H[-1, -1, -1, 1, 1, -1, 0, 1] -> (-2903040*li7half - 1451520*li6half*ln2 - 
    322560*li5half*ln2^2 - 53760*li4half*ln2^3 - 992*ln2^7 - 253440*ln2*s6 - 
    593280*s7a + 979200*s7b + 4032*ln2^5*z2 - 10752*ln2^3*z2^2 - 
    33120*ln2*z2^3 - 10920*ln2^4*z3 - 35280*ln2^2*z2*z3 - 290592*z2^2*z3 - 
    468180*ln2*z3^2 - 1013040*ln2^2*z5 - 3123360*z2*z5 + 7979715*z7)/161280, 
 H[-1, -1, -1, 1, 1, -1, -1, 1] -> 
  (-322560*li7half + 128*ln2^7 + 230400*ln2*s6 - 230400*s7a - 311040*s7b - 
    1344*ln2^5*z2 - 21504*ln2^3*z2^2 - 158880*ln2*z2^3 + 11760*ln2^4*z3 - 
    80640*ln2^2*z2*z3 + 66240*z2^2*z3 + 158040*ln2*z3^2 + 473760*ln2^2*z5 + 
    916200*z2*z5 - 1472175*z7)/322560, H[-1, -1, -1, 1, 0, 1, 1, 1] -> 
  (967680*li7half + 967680*li6half*ln2 + 322560*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 704*ln2^7 + 288000*ln2*s6 + 437760*s7a - 
    288000*s7b - 322560*li5half*z2 - 161280*li4half*ln2*z2 - 6720*ln2^5*z2 + 
    6720*ln2^3*z2^2 - 69984*ln2*z2^3 - 161280*li4half*z3 - 8400*ln2^4*z3 + 
    40320*ln2^2*z2*z3 + 278352*z2^2*z3 - 183600*ln2*z3^2 + 126000*ln2^2*z5 + 
    1884240*z2*z5 - 3721635*z7)/322560, H[-1, -1, -1, 1, 0, 1, 0, 1] -> 
  (322560*li7half + 161280*li6half*ln2 + 80640*li5half*ln2^2 + 
    26880*li4half*ln2^3 + 608*ln2^7 + 97920*ln2*s6 + 43200*s7a - 138240*s7b + 
    120960*li5half*z2 + 100800*li4half*ln2*z2 + 1176*ln2^5*z2 - 
    6552*ln2^3*z2^2 + 5448*ln2*z2^3 + 20160*li4half*z3 + 4200*ln2^4*z3 + 
    23940*ln2^2*z2*z3 + 9252*z2^2*z3 + 90855*ln2*z3^2 + 13230*ln2^2*z5 + 
    258030*z2*z5 - 895275*z7)/40320, H[-1, -1, -1, 1, 0, 1, -1, 1] -> 
  (6128640*li7half + 6773760*li6half*ln2 + 2257920*li5half*ln2^2 + 
    161280*li4half*ln2^3 - 3904*ln2^7 + 2753280*ln2*s6 - 11520*s7a - 
    979200*s7b - 322560*li4half*ln2*z2 - 1344*ln2^5*z2 - 49728*ln2^3*z2^2 + 
    114912*ln2*z2^3 + 241920*li4half*z3 - 11760*ln2^4*z3 - 
    483840*ln2^2*z2*z3 + 91008*z2^2*z3 + 33480*ln2*z3^2 - 1688400*ln2^2*z5 + 
    2906640*z2*z5 - 11070495*z7)/322560, H[-1, -1, -1, 1, 0, 0, 1, 1] -> 
  (-1935360*li7half + 322560*li5half*ln2^2 + 107520*li4half*ln2^3 + 
    2176*ln2^7 + 264960*ln2*s6 - 1071360*s7a + 218880*s7b + 
    1612800*li5half*z2 + 967680*li4half*ln2*z2 + 18816*ln2^5*z2 - 
    139776*ln2^3*z2^2 - 91104*ln2*z2^3 - 1008000*li4half*z3 - 
    31920*ln2^4*z3 + 514080*ln2^2*z2*z3 + 390672*z2^2*z3 - 988920*ln2*z3^2 - 
    544320*ln2^2*z5 - 3505680*z2*z5 + 4014405*z7)/322560, 
 H[-1, -1, -1, 1, 0, 0, 0, 1] -> (-16800*ln2*s6 + 26880*s7b + 
    6720*li5half*z2 + 6720*li4half*ln2*z2 + 224*ln2^5*z2 - 728*ln2^3*z2^2 + 
    7536*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 2100*ln2^2*z2*z3 - 
    10584*z2^2*z3 - 1680*ln2*z3^2 - 16485*ln2^2*z5 - 73500*z2*z5 + 113505*z7)/
   6720, H[-1, -1, -1, 1, 0, 0, -1, 1] -> 
  (1290240*li7half - 322560*li5half*ln2^2 - 107520*li4half*ln2^3 - 
    2048*ln2^7 - 1059840*ln2*s6 - 69120*s7a + 979200*s7b + 
    645120*li5half*z2 + 483840*li4half*ln2*z2 + 20160*ln2^5*z2 - 
    60480*ln2^3*z2^2 + 500064*ln2*z2^3 - 483840*li4half*z3 - 30240*ln2^4*z3 + 
    252000*ln2^2*z2*z3 - 19440*z2^2*z3 - 628200*ln2*z3^2 - 158760*ln2^2*z5 - 
    3695400*z2*z5 + 3896055*z7)/322560, H[-1, -1, -1, 1, 0, -1, 1, 1] -> 
  (-11612160*li7half - 9676800*li6half*ln2 - 2903040*li5half*ln2^2 - 
    268800*li4half*ln2^3 + 1856*ln2^7 - 3029760*ln2*s6 - 1969920*s7a + 
    1900800*s7b + 806400*li5half*z2 + 483840*li4half*ln2*z2 + 
    12096*ln2^5*z2 + 84672*ln2^3*z2^2 - 174816*ln2*z2^3 - 483840*li4half*z3 - 
    42000*ln2^4*z3 + 544320*ln2^2*z2*z3 - 281376*z2^2*z3 - 675720*ln2*z3^2 + 
    498960*ln2^2*z5 - 7657560*z2*z5 + 21725145*z7)/322560, 
 H[-1, -1, -1, 1, 0, -1, 0, 1] -> (1290240*li7half + 645120*li6half*ln2 + 
    322560*li5half*ln2^2 + 107520*li4half*ln2^3 + 2432*ln2^7 - 86400*ln2*s6 - 
    34560*s7a + 449280*s7b + 161280*li5half*z2 + 241920*li4half*ln2*z2 + 
    672*ln2^5*z2 - 10080*ln2^3*z2^2 + 264480*ln2*z2^3 + 181440*li4half*z3 + 
    17640*ln2^4*z3 - 20160*ln2^2*z2*z3 - 218376*z2^2*z3 - 83520*ln2*z3^2 - 
    795060*ln2^2*z5 - 915300*z2*z5 + 158355*z7)/161280, 
 H[-1, -1, -1, 1, 0, -1, -1, 1] -> (5160960*li7half + 1935360*li6half*ln2 + 
    322560*li5half*ln2^2 + 53760*li4half*ln2^3 + 1216*ln2^7 - 472320*ln2*s6 + 
    69120*s7a + 472320*s7b - 5376*ln2^5*z2 + 64512*ln2^3*z2^2 + 
    819936*ln2*z2^3 - 40320*li4half*z3 - 3360*ln2^4*z3 + 10080*ln2^2*z2*z3 - 
    98496*z2^2*z3 - 168120*ln2*z3^2 - 967680*ln2^2*z5 - 1400040*z2*z5 - 
    2641095*z7)/322560, H[-1, -1, -1, 1, -1, 1, 1, 1] -> 
  (2257920*li7half - 483840*li5half*ln2^2 - 161280*li4half*ln2^3 - 
    3200*ln2^7 - 576000*ln2*s6 + 576000*s7a - 149760*s7b + 9408*ln2^5*z2 + 
    21504*ln2^3*z2^2 + 348576*ln2*z2^3 - 11760*ln2^4*z3 + 98496*z2^2*z3 + 
    273960*ln2*z3^2 + 761040*ln2^2*z5 + 1349640*z2*z5 - 4224645*z7)/322560, 
 H[-1, -1, -1, 1, -1, 1, 0, 1] -> (-3064320*li7half - 1451520*li6half*ln2 - 
    241920*li5half*ln2^2 + 608*ln2^7 + 432000*ln2*s6 - 432000*s7a + 
    11520*s7b - 241920*li5half*z2 - 1344*ln2^5*z2 - 30912*ln2^3*z2^2 - 
    362016*ln2*z2^3 + 6720*ln2^4*z3 + 70560*ln2^2*z2*z3 - 48672*z2^2*z3 - 
    187200*ln2*z3^2 - 466200*ln2^2*z5 - 18720*z2*z5 + 3246525*z7)/161280, 
 H[-1, -1, -1, 1, -1, 1, -1, 1] -> (-1612800*li7half - 483840*li6half*ln2 - 
    320*ln2^7 + 512640*ln2*s6 - 391680*s7a - 149760*s7b + 3360*ln2^5*z2 - 
    10752*ln2^3*z2^2 - 213600*ln2*z2^3 - 11760*ln2^4*z3 + 17856*z2^2*z3 - 
    73800*ln2*z3^2 - 380520*ln2^2*z5 + 432360*z2*z5 + 543195*z7)/161280, 
 H[-1, -1, -1, 1, -1, 0, 1, 1] -> (4032000*li7half + 2903040*li6half*ln2 + 
    967680*li5half*ln2^2 + 188160*li4half*ln2^3 + 3008*ln2^7 + 
    622080*ln2*s6 + 506880*s7a - 1267200*s7b + 564480*li5half*z2 + 
    483840*li4half*ln2*z2 + 4032*ln2^5*z2 - 75936*ln2^3*z2^2 - 
    92448*ln2*z2^3 - 362880*li4half*z3 + 6720*ln2^4*z3 + 231840*ln2^2*z2*z3 + 
    508464*z2^2*z3 + 351360*ln2*z3^2 + 1239840*ln2^2*z5 + 2546820*z2*z5 - 
    9237735*z7)/161280, H[-1, -1, -1, 1, -1, 0, 0, 1] -> 
  (430080*li7half + 430080*li6half*ln2 + 107520*li5half*ln2^2 - 384*ln2^7 - 
    288000*ln2*s6 + 46080*s7a + 449280*s7b + 322560*li5half*z2 + 
    161280*li4half*ln2*z2 + 5824*ln2^5*z2 - 26880*ln2^3*z2^2 + 
    185760*ln2*z2^3 + 201600*li4half*z3 + 5040*ln2^4*z3 - 23520*ln2^2*z2*z3 - 
    200064*z2^2*z3 - 34800*ln2*z3^2 - 257040*ln2^2*z5 - 1356720*z2*z5 + 
    1482825*z7)/107520, H[-1, -1, -1, 1, -1, 0, -1, 1] -> 
  (645120*li7half + 967680*li6half*ln2 + 322560*li5half*ln2^2 + 
    26880*li4half*ln2^3 - 352*ln2^7 - 28800*ln2*s6 - 253440*s7a + 
    794880*s7b + 322560*li5half*z2 + 241920*li4half*ln2*z2 + 9408*ln2^5*z2 - 
    65856*ln2^3*z2^2 + 254304*ln2*z2^3 - 120960*li4half*z3 - 3360*ln2^4*z3 + 
    100800*ln2^2*z2*z3 - 163008*z2^2*z3 - 599040*ln2*z3^2 - 
    1161720*ln2^2*z5 - 2690280*z2*z5 + 3325005*z7)/161280, 
 H[-1, -1, -1, 1, -1, -1, 1, 1] -> (-6128640*li7half - 2903040*li6half*ln2 - 
    483840*li5half*ln2^2 + 1280*ln2^7 - 610560*ln2*s6 - 599040*s7a + 
    610560*s7b - 5376*ln2^5*z2 - 21504*ln2^3*z2^2 - 630432*ln2*z2^3 + 
    11760*ln2^4*z3 - 182592*z2^2*z3 - 171720*ln2*z3^2 + 645120*ln2^2*z5 - 
    3444120*z2*z5 + 11612385*z7)/322560, H[-1, -1, -1, 1, -1, -1, 0, 1] -> 
  (6451200*li7half + 3225600*li6half*ln2 + 645120*li5half*ln2^2 + 
    53760*li4half*ln2^3 + 64*ln2^7 - 437760*ln2*s6 + 437760*s7a - 
    449280*s7b + 967680*li5half*z2 + 483840*li4half*ln2*z2 + 13440*ln2^5*z2 - 
    18816*ln2^3*z2^2 + 649440*ln2*z2^3 - 120960*li4half*z3 - 6720*ln2^4*z3 + 
    100800*ln2^2*z2*z3 + 182592*z2^2*z3 + 388440*ln2*z3^2 + 932400*ln2^2*z5 + 
    1992600*z2*z5 - 11209815*z7)/322560, H[-1, -1, -1, 1, -1, -1, -1, 1] -> 
  (4200*li7half + 2100*li6half*ln2 + 420*li5half*ln2^2 + 35*li4half*ln2^3 + 
    14*ln2^3*z2^2 + 480*ln2*z2^3 - 420*ln2^2*z5 - 4200*z7)/210, 
 H[-1, -1, -1, 0, 1, 1, 1, 1] -> (80640*li7half - 20160*li5half*ln2^2 - 
    6720*li4half*ln2^3 - 128*ln2^7 + 20160*ln2*s6 - 20160*s7a - 40320*s7b + 
    20160*li4half*ln2*z2 + 1176*ln2^5*z2 - 2352*ln2^3*z2^2 + 2016*ln2*z2^3 - 
    30240*li4half*z3 - 1260*ln2^4*z3 + 16380*ln2^2*z2*z3 + 35280*z2^2*z3 - 
    9765*ln2*z3^2 + 22050*ln2^2*z5 + 119070*z2*z5 - 354690*z7)/40320, 
 H[-1, -1, -1, 0, 1, 1, 0, 1] -> (-9600*ln2*s6 + 9600*s7a + 49920*s7b - 
    26880*li5half*z2 - 26880*li4half*ln2*z2 - 896*ln2^5*z2 + 14592*ln2*z2^3 + 
    53760*li4half*z3 + 2240*ln2^4*z3 - 26880*ln2^2*z2*z3 - 54672*z2^2*z3 + 
    18300*ln2*z3^2 - 55860*ln2^2*z5 - 126900*z2*z5 + 350025*z7)/53760, 
 H[-1, -1, -1, 0, 1, 1, -1, 1] -> (376320*li7half - 80640*li5half*ln2^2 - 
    8960*li4half*ln2^3 + 224*ln2^7 - 72960*ln2*s6 + 113280*s7a - 142080*s7b - 
    26880*li4half*ln2*z2 + 2688*ln2^5*z2 + 2688*ln2^3*z2^2 + 20064*ln2*z2^3 + 
    13440*li4half*z3 + 2520*ln2^4*z3 - 15120*ln2^2*z2*z3 + 29928*z2^2*z3 + 
    147060*ln2*z3^2 + 296100*ln2^2*z5 + 425340*z2*z5 - 1016595*z7)/53760, 
 H[-1, -1, -1, 0, 1, 0, 1, 1] -> (-967680*li7half - 322560*li6half*ln2 - 
    256*ln2^7 - 106560*ln2*s6 + 25920*s7a + 207360*s7b + 80640*li5half*z2 - 
    80640*li4half*ln2*z2 - 1344*ln2^5*z2 + 30912*ln2^3*z2^2 - 
    34848*ln2*z2^3 + 10080*li4half*z3 - 11340*ln2^4*z3 - 63000*ln2^2*z2*z3 - 
    53064*z2^2*z3 - 53910*ln2*z3^2 - 139230*ln2^2*z5 - 682830*z2*z5 + 
    2043315*z7)/80640, H[-1, -1, -1, 0, 1, 0, 0, 1] -> 
  (13920*ln2*s6 - 13920*s7a + 2880*s7b + 1344*ln2^3*z2^2 + 4636*ln2*z2^3 - 
    5040*li4half*z3 - 210*ln2^4*z3 - 1260*ln2^2*z2*z3 + 3603*z2^2*z3 - 
    12465*ln2*z3^2 - 30345*ln2^2*z5 - 13290*z2*z5 + 2160*z7)/6720, 
 H[-1, -1, -1, 0, 1, 0, -1, 1] -> (1720320*li7half + 430080*li6half*ln2 + 
    256*ln2^7 - 203520*ln2*s6 + 311040*s7a - 280320*s7b - 53760*li5half*z2 - 
    53760*li4half*ln2*z2 - 3584*ln2^5*z2 + 40768*ln2^3*z2^2 + 
    142368*ln2*z2^3 + 26880*li4half*z3 + 1120*ln2^4*z3 - 47040*ln2^2*z2*z3 + 
    79584*z2^2*z3 + 292200*ln2*z3^2 + 524160*ln2^2*z5 + 848640*z2*z5 - 
    2896245*z7)/107520, H[-1, -1, -1, 0, 1, -1, 1, 1] -> 
  (645120*li7half + 1128960*li6half*ln2 + 725760*li5half*ln2^2 + 
    26880*li4half*ln2^3 - 3488*ln2^7 + 403200*ln2*s6 - 40320*s7a + 
    322560*s7b - 322560*li5half*z2 - 4704*ln2^5*z2 + 4704*ln2^3*z2^2 - 
    38880*ln2*z2^3 - 20160*li4half*z3 - 12600*ln2^4*z3 - 30240*ln2^2*z2*z3 - 
    71064*z2^2*z3 - 354060*ln2*z3^2 - 908460*ln2^2*z5 - 529200*z2*z5 + 
    819315*z7)/161280, H[-1, -1, -1, 0, 1, -1, 0, 1] -> 
  (-1720320*li7half - 35840*li4half*ln2^3 - 1152*ln2^7 + 420480*ln2*s6 - 
    232320*s7a + 264960*s7b + 26880*li5half*z2 - 80640*li4half*ln2*z2 - 
    1792*ln2^5*z2 - 56224*ln2^3*z2^2 - 148704*ln2*z2^3 + 20160*li4half*z3 + 
    840*ln2^4*z3 - 15120*ln2^2*z2*z3 - 81216*z2^2*z3 - 340800*ln2*z3^2 - 
    634200*ln2^2*z5 - 853920*z2*z5 + 2977545*z7)/53760, 
 H[-1, -1, -1, 0, 1, -1, -1, 1] -> (-2042880*li7half - 752640*li6half*ln2 - 
    268800*li5half*ln2^2 - 53760*li4half*ln2^3 - 640*ln2^7 + 138240*ln2*s6 + 
    23040*s7a + 157440*s7b + 11648*ln2^5*z2 - 55552*ln2^3*z2^2 - 
    199776*ln2*z2^3 - 3920*ln2^4*z3 + 23520*ln2^2*z2*z3 - 38208*z2^2*z3 - 
    166920*ln2*z3^2 - 97440*ln2^2*z5 - 466680*z2*z5 + 2882835*z7)/107520, 
 H[-1, -1, -1, 0, 0, 1, 1, 1] -> (161280*li7half + 80640*li6half*ln2 + 
    13440*li5half*ln2^2 - 32*ln2^7 - 6720*ln2*s6 + 26880*s7a - 13440*s7b - 
    40320*li5half*z2 - 13440*li4half*ln2*z2 - 112*ln2^5*z2 + 224*ln2^3*z2^2 + 
    4944*ln2*z2^3 + 43680*li4half*z3 + 1820*ln2^4*z3 - 10920*ln2^2*z2*z3 - 
    17640*z2^2*z3 + 38640*ln2*z3^2 + 35910*ln2^2*z5 + 60270*z2*z5 - 
    160125*z7)/13440, H[-1, -1, -1, 0, 0, 1, 0, 1] -> 
  (-1920*ln2*s6 + 1920*s7a - 65280*s7b + 26880*li5half*z2 - 224*ln2^5*z2 - 
    3136*ln2^3*z2^2 - 22880*ln2*z2^3 - 100800*li4half*z3 - 4200*ln2^4*z3 + 
    18480*ln2^2*z2*z3 + 69000*z2^2*z3 - 25740*ln2*z3^2 + 134820*ln2^2*z5 + 
    187560*z2*z5 - 415935*z7)/26880, H[-1, -1, -1, 0, 0, 1, -1, 1] -> 
  (-322560*li7half - 322560*li6half*ln2 - 53760*li5half*ln2^2 + 64*ln2^7 - 
    69120*ln2*s6 + 42240*s7a - 65280*s7b + 134400*li4half*ln2*z2 + 
    6496*ln2^5*z2 - 25088*ln2^3*z2^2 - 87648*ln2*z2^3 - 80640*li4half*z3 + 
    560*ln2^4*z3 + 100800*ln2^2*z2*z3 + 61440*z2^2*z3 - 22800*ln2*z3^2 + 
    246960*ln2^2*z5 + 195120*z2*z5 - 23865*z7)/53760, 
 H[-1, -1, -1, 0, 0, 0, 1, 1] -> (10080*s7a + 13440*li5half*z2 - 
    112*ln2^5*z2 + 1568*ln2^3*z2^2 + 4600*ln2*z2^3 + 6720*li4half*z3 + 
    280*ln2^4*z3 - 5040*ln2^2*z2*z3 - 4032*z2^2*z3 + 8400*ln2*z3^2 - 
    6195*ln2^2*z5 + 3150*z2*z5 - 14070*z7)/6720, 
 H[-1, -1, -1, 0, 0, 0, 0, 1] -> (4480*ln2*s6 - 4480*s7a + 1472*ln2*z2^3 - 
    1568*z2^2*z3 - 3360*ln2*z3^2 - 6580*ln2^2*z5 - 4620*z2*z5 + 8645*z7)/
   4480, H[-1, -1, -1, 0, 0, 0, -1, 1] -> 
  (46080*ln2*s6 - 126720*s7a + 88320*s7b + 53760*li5half*z2 - 448*ln2^5*z2 + 
    7616*ln2^3*z2^2 + 63136*ln2*z2^3 + 40320*li4half*z3 + 1680*ln2^4*z3 - 
    23520*ln2^2*z2*z3 - 51264*z2^2*z3 - 30720*ln2*z3^2 - 288960*ln2^2*z5 - 
    293880*z2*z5 + 347535*z7)/53760, H[-1, -1, -1, 0, 0, -1, 1, 1] -> 
  (-4515840*li7half - 1290240*li6half*ln2 - 322560*li5half*ln2^2 + 
    1792*ln2^7 + 207360*ln2*s6 - 610560*s7a + 1647360*s7b + 
    645120*li5half*z2 - 483840*li4half*ln2*z2 - 44352*ln2^5*z2 + 
    87360*ln2^3*z2^2 + 345312*ln2*z2^3 + 524160*li4half*z3 + 45360*ln2^4*z3 - 
    614880*ln2^2*z2*z3 - 764928*z2^2*z3 - 526320*ln2*z3^2 - 
    2892960*ln2^2*z5 - 4987800*z2*z5 + 12099555*z7)/322560, 
 H[-1, -1, -1, 0, 0, -1, 0, 1] -> (4320*ln2*s6 - 4320*s7a - 14400*s7b - 
    6720*li5half*z2 + 56*ln2^5*z2 - 1736*ln2^3*z2^2 - 7264*ln2*z2^3 - 
    10080*li4half*z3 - 420*ln2^4*z3 + 4200*ln2^2*z2*z3 + 8928*z2^2*z3 - 
    2040*ln2*z3^2 + 24885*ln2^2*z5 + 37680*z2*z5 - 63720*z7)/6720, 
 H[-1, -1, -1, 0, 0, -1, -1, 1] -> (430080*li7half + 430080*li6half*ln2 + 
    107520*li5half*ln2^2 - 384*ln2^7 + 103680*ln2*s6 - 76800*s7a - 
    103680*s7b + 1792*ln2^5*z2 - 13440*ln2^3*z2^2 - 18144*ln2*z2^3 + 
    13440*li4half*z3 + 560*ln2^4*z3 - 3360*ln2^2*z2*z3 + 16704*z2^2*z3 + 
    41760*ln2*z3^2 + 105000*ln2^2*z5 + 305400*z2*z5 - 1028325*z7)/107520, 
 H[-1, -1, -1, 0, -1, 1, 1, 1] -> (-241920*li7half + 80640*li6half*ln2 + 
    40320*li4half*ln2^3 + 1840*ln2^7 - 92160*ln2*s6 + 11520*s7a + 51840*s7b - 
    161280*li5half*z2 - 161280*li4half*ln2*z2 - 8064*ln2^5*z2 + 
    15456*ln2^3*z2^2 - 25344*ln2*z2^3 + 312480*li4half*z3 + 15960*ln2^4*z3 - 
    78120*ln2^2*z2*z3 - 144432*z2^2*z3 + 146070*ln2*z3^2 + 73080*ln2^2*z5 - 
    212130*z2*z5 + 919935*z7)/80640, H[-1, -1, -1, 0, -1, 1, 0, 1] -> 
  (3440640*li7half + 71680*li4half*ln2^3 + 2304*ln2^7 - 744960*ln2*s6 + 
    368640*s7a - 464640*s7b + 215040*li5half*z2 + 268800*li4half*ln2*z2 + 
    5824*ln2^5*z2 + 99008*ln2^3*z2^2 + 354528*ln2*z2^3 - 443520*li4half*z3 - 
    18480*ln2^4*z3 + 90720*ln2^2*z2*z3 + 326112*z2^2*z3 + 395280*ln2*z3^2 + 
    1023120*ln2^2*z5 + 1322880*z2*z5 - 5902245*z7)/107520, 
 H[-1, -1, -1, 0, -1, 1, -1, 1] -> (-1612800*li7half - 161280*li6half*ln2 + 
    322560*li5half*ln2^2 - 26880*li4half*ln2^3 - 3712*ln2^7 + 293760*ln2*s6 - 
    253440*s7a + 794880*s7b + 322560*li4half*ln2*z2 + 3360*ln2^5*z2 - 
    81984*ln2^3*z2^2 - 109728*ln2*z2^3 - 161280*li4half*z3 + 5040*ln2^4*z3 + 
    40320*ln2^2*z2*z3 - 146880*z2^2*z3 - 720000*ln2*z3^2 - 1161720*ln2^2*z5 - 
    2367720*z2*z5 + 5582925*z7)/161280, H[-1, -1, -1, 0, -1, 0, 1, 1] -> 
  (-3870720*li7half - 1290240*li6half*ln2 - 1024*ln2^7 + 368640*ln2*s6 + 
    357120*s7a + 34560*s7b + 1935360*li5half*z2 + 322560*li4half*ln2*z2 + 
    8064*ln2^5*z2 + 84672*ln2^3*z2^2 + 18144*ln2*z2^3 - 362880*li4half*z3 - 
    62160*ln2^4*z3 - 231840*ln2^2*z2*z3 + 105984*z2^2*z3 - 118080*ln2*z3^2 - 
    614880*ln2^2*z5 - 678600*z2*z5 + 2185875*z7)/322560, 
 H[-1, -1, -1, 0, -1, 0, 0, 1] -> (23040*ln2*s6 - 23040*s7a + 3840*s7b + 
    1344*ln2^3*z2^2 + 8992*ln2*z2^3 + 5760*li4half*z3 + 240*ln2^4*z3 - 
    5280*ln2^2*z2*z3 - 3648*z2^2*z3 - 13440*ln2*z3^2 - 47160*ln2^2*z5 - 
    33240*z2*z5 + 36495*z7)/7680, H[-1, -1, -1, 0, -1, 0, -1, 1] -> 
  (860160*li7half + 215040*li6half*ln2 + 128*ln2^7 + 9600*ln2*s6 - 
    130560*s7a - 49920*s7b + 107520*li5half*z2 + 26880*li4half*ln2*z2 - 
    672*ln2^5*z2 + 16800*ln2^3*z2^2 + 155616*ln2*z2^3 - 13440*li4half*z3 - 
    560*ln2^4*z3 - 23520*ln2^2*z2*z3 + 11328*z2^2*z3 + 36720*ln2*z3^2 - 
    131880*ln2^2*z5 + 36600*z2*z5 - 1216695*z7)/53760, 
 H[-1, -1, -1, 0, -1, -1, 1, 1] -> (-322560*li7half - 3225600*li6half*ln2 - 
    1290240*li5half*ln2^2 + 53760*li4half*ln2^3 + 8576*ln2^7 - 
    1647360*ln2*s6 + 437760*s7a - 449280*s7b + 1612800*li5half*z2 - 
    28224*ln2^5*z2 + 307776*ln2^3*z2^2 + 769248*ln2*z2^3 - 80640*li4half*z3 - 
    15120*ln2^4*z3 + 20160*ln2^2*z2*z3 + 166464*z2^2*z3 + 877320*ln2*z3^2 + 
    801360*ln2^2*z5 + 1347480*z2*z5 - 4436055*z7)/322560, 
 H[-1, -1, -1, 0, -1, -1, 0, 1] -> (199680*ln2*s6 - 199680*s7a + 203520*s7b - 
    215040*li5half*z2 - 53760*li4half*ln2*z2 - 448*ln2^5*z2 - 
    6720*ln2^3*z2^2 + 57120*ln2*z2^3 + 13440*li4half*z3 + 560*ln2^4*z3 - 
    30240*ln2^2*z2*z3 - 66240*z2^2*z3 - 195840*ln2*z3^2 - 632520*ln2^2*z5 - 
    933000*z2*z5 + 1827915*z7)/107520, H[-1, -1, -1, 0, -1, -1, -1, 1] -> 
  (100800*li7half + 50400*li6half*ln2 + 10080*li5half*ln2^2 + 
    840*li4half*ln2^3 + ln2^7 + 336*ln2^3*z2^2 + 11520*ln2*z2^3 - 
    10080*ln2^2*z5 - 100800*z7)/5040, H[-1, -1, -1, -1, 1, 1, 1, 1] -> 
  (-53760*li7half + 13440*li5half*ln2^2 + 4480*li4half*ln2^3 + 80*ln2^7 + 
    13440*ln2*s6 - 13440*s7a - 224*ln2^5*z2 - 9984*ln2*z2^3 - 2016*z2^2*z3 - 
    3360*ln2*z3^2 - 12600*ln2^2*z5 - 27300*z2*z5 + 93765*z7)/26880, 
 H[-1, -1, -1, -1, 1, 1, 0, 1] -> (3225600*li7half + 2580480*li6half*ln2 + 
    806400*li5half*ln2^2 + 107520*li4half*ln2^3 + 704*ln2^7 + 241920*ln2*s6 + 
    403200*s7a - 80640*s7b + 161280*li5half*z2 - 2688*ln2^5*z2 - 
    8064*ln2^3*z2^2 + 225504*ln2*z2^3 + 1680*ln2^4*z3 - 70560*ln2^2*z2*z3 + 
    64512*z2^2*z3 - 20160*ln2*z3^2 - 151200*ln2^2*z5 + 257040*z2*z5 - 
    3712905*z7)/322560, H[-1, -1, -1, -1, 1, 1, -1, 1] -> 
  (483840*li7half + 161280*li6half*ln2 + 160*ln2^7 - 195840*ln2*s6 + 
    155520*s7a + 115200*s7b - 1344*ln2^5*z2 + 80064*ln2*z2^3 + 
    5880*ln2^4*z3 - 21024*z2^2*z3 - 12240*ln2*z3^2 + 75600*ln2^2*z5 - 
    337140*z2*z5 + 232245*z7)/161280, H[-1, -1, -1, -1, 1, 0, 1, 1] -> 
  (-215040*li7half - 430080*li6half*ln2 - 268800*li5half*ln2^2 - 
    89600*li4half*ln2^3 - 2048*ln2^7 - 188160*ln2*s6 + 80640*s7a + 
    134400*s7b - 161280*li5half*z2 - 107520*li4half*ln2*z2 + 4032*ln2^5*z2 + 
    12096*ln2^3*z2^2 + 41952*ln2*z2^3 + 80640*li4half*z3 - 9520*ln2^4*z3 - 
    67200*ln2^2*z2*z3 - 68880*z2^2*z3 + 47040*ln2*z3^2 + 97440*ln2^2*z5 - 
    28560*z2*z5 + 651735*z7)/107520, H[-1, -1, -1, -1, 1, 0, 0, 1] -> 
  (-645120*li7half - 322560*li6half*ln2 - 161280*li5half*ln2^2 - 
    53760*li4half*ln2^3 - 1216*ln2^7 + 322560*ln2*s6 - 403200*s7b - 
    241920*li5half*z2 - 241920*li4half*ln2*z2 - 4032*ln2^5*z2 + 
    20160*ln2^3*z2^2 - 158112*ln2*z2^3 - 60480*li4half*z3 - 7560*ln2^4*z3 - 
    50400*ln2^2*z2*z3 + 132048*z2^2*z3 + 80640*ln2*z3^2 + 239400*ln2^2*z5 + 
    1199520*z2*z5 - 1082655*z7)/161280, H[-1, -1, -1, -1, 1, 0, -1, 1] -> 
  (-2903040*li7half - 1290240*li6half*ln2 - 483840*li5half*ln2^2 - 
    161280*li4half*ln2^3 - 3904*ln2^7 + 633600*ln2*s6 + 92160*s7a - 
    633600*s7b - 161280*li5half*z2 - 161280*li4half*ln2*z2 + 8064*ln2^5*z2 - 
    37632*ln2^3*z2^2 - 479520*ln2*z2^3 + 80640*li4half*z3 - 5040*ln2^4*z3 - 
    90720*ln2^2*z2*z3 + 130752*z2^2*z3 + 248760*ln2*z3^2 + 645120*ln2^2*z5 + 
    2045160*z2*z5 - 341955*z7)/322560, H[-1, -1, -1, -1, 1, -1, 1, 1] -> 
  (1935360*li7half + 1128960*li6half*ln2 + 241920*li5half*ln2^2 - 800*ln2^7 + 
    115200*ln2*s6 + 247680*s7a - 115200*s7b + 4704*ln2^5*z2 + 
    164160*ln2*z2^3 - 11760*ln2^4*z3 + 41184*z2^2*z3 + 32400*ln2*z3^2 - 
    80640*ln2^2*z5 + 752940*z2*z5 - 3038895*z7)/161280, 
 H[-1, -1, -1, -1, 1, -1, 0, 1] -> (-3548160*li7half - 2903040*li6half*ln2 - 
    967680*li5half*ln2^2 - 161280*li4half*ln2^3 - 1984*ln2^7 + 11520*ln2*s6 - 
    92160*s7a - 172800*s7b - 645120*li5half*z2 - 483840*li4half*ln2*z2 - 
    8064*ln2^5*z2 + 88704*ln2^3*z2^2 - 269856*ln2*z2^3 + 120960*li4half*z3 - 
    8400*ln2^4*z3 - 171360*ln2^2*z2*z3 - 9792*z2^2*z3 + 197280*ln2*z3^2 + 
    151200*ln2^2*z5 + 348840*z2*z5 + 3942405*z7)/322560, 
 H[-1, -1, -1, -1, 1, -1, -1, 1] -> (-60480*li7half - 40320*li6half*ln2 - 
    12096*li5half*ln2^2 - 2016*li4half*ln2^3 - 28*ln2^7 + 84*ln2^5*z2 - 
    4608*ln2*z2^3 - 147*ln2^4*z3 + 2016*ln2^2*z5 + 60480*z7)/4032, 
 H[-1, -1, -1, -1, 0, 1, 1, 1] -> (-53760*li7half - 53760*li6half*ln2 - 
    13440*li5half*ln2^2 + 48*ln2^7 - 13440*s7a + 26880*li5half*z2 + 
    13440*li4half*ln2*z2 + 112*ln2^5*z2 - 560*ln2^3*z2^2 + 1632*ln2*z2^3 - 
    26880*li4half*z3 + 6720*ln2^2*z2*z3 + 11256*z2^2*z3 - 13230*ln2*z3^2 - 
    10500*ln2^2*z5 - 13440*z2*z5 + 16275*z7)/26880, 
 H[-1, -1, -1, -1, 0, 1, 0, 1] -> (-645120*li7half + 128*ln2^7 + 
    80640*ln2*s6 - 80640*s7a + 80640*s7b - 80640*li5half*z2 - 2016*ln2^5*z2 - 
    40992*ln2^3*z2^2 - 104448*ln2*z2^3 + 141120*li4half*z3 + 15960*ln2^4*z3 + 
    25200*ln2^2*z2*z3 - 91224*z2^2*z3 - 36540*ln2*z3^2 - 52920*ln2^2*z5 - 
    173880*z2*z5 + 1066275*z7)/161280, H[-1, -1, -1, -1, 0, 1, -1, 1] -> 
  (3870720*li7half + 645120*li6half*ln2 + 161280*li5half*ln2^2 + 
    215040*li4half*ln2^3 + 7744*ln2^7 - 737280*ln2*s6 + 92160*s7a - 
    633600*s7b - 161280*li4half*ln2*z2 - 24192*ln2^5*z2 + 170688*ln2^3*z2^2 + 
    405216*ln2*z2^3 + 80640*li4half*z3 + 13440*ln2^4*z3 - 20160*ln2^2*z2*z3 + 
    130752*z2^2*z3 + 745200*ln2*z3^2 + 907200*ln2^2*z5 + 1883880*z2*z5 - 
    7115715*z7)/322560, H[-1, -1, -1, -1, 0, 0, 1, 1] -> 
  (107520*li7half + 26880*li6half*ln2 + 16*ln2^7 - 6720*ln2*s6 - 13440*s7b - 
    26880*li5half*z2 + 112*ln2^5*z2 - 896*ln2^3*z2^2 + 3040*ln2*z2^3 + 
    3360*li4half*z3 + 700*ln2^4*z3 + 5880*ln2^2*z2*z3 + 3024*z2^2*z3 + 
    8610*ln2*z3^2 + 22680*ln2^2*z5 + 46830*z2*z5 - 147315*z7)/13440, 
 H[-1, -1, -1, -1, 0, 0, 0, 1] -> 
  (-40320*ln2*s6 + 40320*s7a - 1568*ln2^3*z2^2 - 11328*ln2*z2^3 + 
    6720*ln2^2*z2*z3 + 672*z2^2*z3 + 23520*ln2*z3^2 + 65940*ln2^2*z5 + 
    28140*z2*z5 - 11655*z7)/26880, H[-1, -1, -1, -1, 0, 0, -1, 1] -> 
  (-967680*li7half - 322560*li6half*ln2 - 256*ln2^7 - 74880*ln2*s6 + 
    155520*s7a + 115200*s7b - 80640*li5half*z2 + 3360*ln2^5*z2 - 
    10080*ln2^3*z2^2 - 144192*ln2*z2^3 - 6720*ln2^4*z3 + 40320*ln2^2*z2*z3 - 
    21024*z2^2*z3 - 67680*ln2*z3^2 + 79380*ln2^2*z5 - 256500*z2*z5 + 
    1683765*z7)/161280, H[-1, -1, -1, -1, 0, -1, 1, 1] -> 
  (322560*li7half + 537600*li6half*ln2 + 53760*li5half*ln2^2 - 
    71680*li4half*ln2^3 - 2752*ln2^7 + 299520*ln2*s6 - 30720*s7a - 
    57600*s7b - 268800*li5half*z2 + 8064*ln2^5*z2 - 68544*ln2^3*z2^2 - 
    108384*ln2*z2^3 + 40320*li4half*z3 + 5040*ln2^4*z3 - 10080*ln2^2*z2*z3 - 
    3264*z2^2*z3 - 56880*ln2*z3^2 + 94080*ln2^2*z5 + 170040*z2*z5 - 
    191145*z7)/107520, H[-1, -1, -1, -1, 0, -1, 0, 1] -> 
  (-645120*li7half + 128*ln2^7 - 247680*ln2*s6 + 247680*s7a - 115200*s7b + 
    80640*li5half*z2 - 3360*ln2^5*z2 - 30240*ln2^3*z2^2 - 206016*ln2*z2^3 + 
    13440*ln2^4*z3 + 80640*ln2^2*z2*z3 + 41184*z2^2*z3 + 148320*ln2*z3^2 + 
    795060*ln2^2*z5 + 672300*z2*z5 - 458415*z7)/161280, 
 H[-1, -1, -1, -1, 0, -1, -1, 1] -> (-75600*li7half - 25200*li6half*ln2 - 
    2520*li5half*ln2^2 + ln2^7 - 1008*ln2^3*z2^2 - 11520*ln2*z2^3 + 
    210*ln2^4*z3 + 15120*ln2^2*z5 + 75600*z7)/5040, 
 H[-1, -1, -1, -1, -1, 1, 1, 1] -> (-241920*li7half - 161280*li6half*ln2 - 
    40320*li5half*ln2^2 + 176*ln2^7 - 40320*s7a - 1008*ln2^5*z2 - 
    18432*ln2*z2^3 + 2940*ln2^4*z3 - 2016*z2^2*z3 - 41580*z2*z5 + 280665*z7)/
   80640, H[-1, -1, -1, -1, -1, 1, 0, 1] -> 
  (645120*li7half + 483840*li6half*ln2 + 241920*li5half*ln2^2 + 
    80640*li4half*ln2^3 + 1888*ln2^7 - 80640*ln2*s6 + 80640*s7b + 
    80640*li5half*z2 + 80640*li4half*ln2*z2 - 4032*ln2^5*z2 - 
    2688*ln2^3*z2^2 + 50976*ln2*z2^3 - 20160*li4half*z3 + 10080*ln2^4*z3 + 
    40320*ln2^2*z2*z3 - 12096*z2^2*z3 - 40320*ln2*z3^2 - 80640*ln2^2*z5 - 
    239400*z2*z5 - 360045*z7)/161280, H[-1, -1, -1, -1, -1, 1, -1, 1] -> 
  (60480*li7half + 50400*li6half*ln2 + 20160*li5half*ln2^2 + 
    5040*li4half*ln2^3 + 98*ln2^7 - 378*ln2^5*z2 + 2304*ln2*z2^3 + 
    735*ln2^4*z3 - 60480*z7)/10080, H[-1, -1, -1, -1, -1, 0, 1, 1] -> 
  (-483840*li7half - 161280*li6half*ln2 - 128*ln2^7 + 80640*s7b + 
    80640*li5half*z2 + 2016*ln2^5*z2 + 8736*ln2^3*z2^2 - 13536*ln2*z2^3 - 
    20160*li4half*z3 - 10920*ln2^4*z3 + 5040*ln2^2*z2*z3 - 12096*z2^2*z3 - 
    61740*ln2*z3^2 - 146160*ln2^2*z5 - 239400*z2*z5 + 768915*z7)/161280, 
 H[-1, -1, -1, -1, -1, 0, 0, 1] -> 
  (161280*li7half - 32*ln2^7 + 40320*ln2*s6 - 40320*s7a + 672*ln2^5*z2 + 
    10080*ln2^3*z2^2 + 43776*ln2*z2^3 - 3360*ln2^4*z3 - 20160*ln2^2*z2*z3 - 
    2016*z2^2*z3 - 10080*ln2*z3^2 - 119700*ln2^2*z5 - 41580*z2*z5 - 
    122535*z7)/80640, H[-1, -1, -1, -1, -1, 0, -1, 1] -> 
  (30240*li7half + 5040*li6half*ln2 + ln2^7 + 42*ln2^5*z2 + 1008*ln2^3*z2^2 + 
    5760*ln2*z2^3 - 420*ln2^4*z3 - 10080*ln2^2*z5 - 30240*z7)/5040, 
 H[-1, -1, -1, -1, -1, -1, 1, 1] -> 
  (-960*li7half - 960*li6half*ln2 - 480*li5half*ln2^2 - 160*li4half*ln2^3 - 
    4*ln2^7 + 16*ln2^5*z2 - 35*ln2^4*z3 + 960*z7)/960, 
 H[-1, -1, -1, -1, -1, -1, 0, 1] -> (-5040*li7half + ln2^7 - 42*ln2^5*z2 - 
    336*ln2^3*z2^2 - 1152*ln2*z2^3 + 210*ln2^4*z3 + 2520*ln2^2*z5 + 5040*z7)/
   5040, H[-1, -1, -1, -1, -1, -1, -1, 1] -> ln2^7/5040, 
 H[1, 1, 1, 1, 1, 1, 1, 1, 1] -> 
  (5*sinf^8 - 140*sinf^6*z2 + 210*sinf^4*z2^2 - 900*sinf^2*z2^3 - 603*z2^4 + 
    560*sinf^5*z3 - 5600*sinf^3*z2*z3 + 1680*sinf*z2^2*z3 + 
    5600*sinf^2*z3^2 - 5600*z2*z3^2 + 6720*sinf^3*z5 - 20160*sinf*z2*z5 + 
    13440*z3*z5 + 28800*sinf*z7)/201600, H[1, 1, 1, 1, 1, 1, 1, 0, 1] -> 
  (-35*sinf^6*z2 + 105*sinf^4*z2^2 - 675*sinf^2*z2^3 - 603*z2^4 + 
    210*sinf^5*z3 - 3500*sinf^3*z2*z3 + 1470*sinf*z2^2*z3 + 
    4200*sinf^2*z3^2 - 5600*z2*z3^2 + 4200*sinf^3*z5 - 17640*sinf*z2*z5 + 
    13440*z3*z5 + 25200*sinf*z7)/25200, H[1, 1, 1, 1, 1, 1, 1, -1, 1] -> 
  (-20160*li8half + 20160*li7half*sinf - 10080*li6half*sinf^2 + 
    3360*li5half*sinf^3 - 840*li4half*sinf^4 + 28*ln2^3*sinf^5 + 
    14*ln2^2*sinf^6 + 4*ln2*sinf^7 + 10080*li6half*z2 - 
    10080*li5half*sinf*z2 + 5040*li4half*sinf^2*z2 - 280*ln2^3*sinf^3*z2 - 
    210*ln2^2*sinf^4*z2 - 168*ln2*sinf^5*z2 - 14*sinf^6*z2 - 
    504*li4half*z2^2 + 84*ln2^3*sinf*z2^2 + 126*ln2^2*sinf^2*z2^2 + 
    924*ln2*sinf^3*z2^2 + 210*sinf^4*z2^2 - 90*ln2^2*z2^3 - 
    432*ln2*sinf*z2^3 - 126*sinf^2*z2^3 + 90*z2^4 + 6720*li5half*z3 - 
    6720*li4half*sinf*z3 + 560*ln2^3*sinf^2*z3 + 560*ln2^2*sinf^3*z3 + 
    280*ln2*sinf^4*z3 + 147*sinf^5*z3 - 560*ln2^3*z2*z3 - 
    1680*ln2^2*sinf*z2*z3 - 3360*ln2*sinf^2*z2*z3 - 2030*sinf^3*z2*z3 + 
    1848*ln2*z2^2*z3 + 2121*sinf*z2^2*z3 + 560*ln2^2*z3^2 + 
    1120*ln2*sinf*z3^2 + 2940*sinf^2*z3^2 - 3500*z2*z3^2 + 672*ln2^3*z5 + 
    2016*ln2^2*sinf*z5 + 2016*ln2*sinf^2*z5 - 4032*ln2*z2*z5 - 
    2016*sinf*z2*z5 + 3528*z3*z5 + 2880*ln2*z7)/20160, 
 H[1, 1, 1, 1, 1, 1, 0, 1, 1] -> (35*sinf^6*z2 + 735*sinf^4*z2^2 + 
    7155*sinf^2*z2^3 + 10323*z2^4 - 420*sinf^5*z3 + 5600*sinf^3*z2*z3 + 
    4620*sinf*z2^2*z3 - 8400*sinf^2*z3^2 + 9800*z2*z3^2 - 16800*sinf^3*z5 + 
    55440*sinf*z2*z5 - 43680*z3*z5 - 151200*sinf*z7)/25200, 
 H[1, 1, 1, 1, 1, 1, 0, 0, 1] -> (-35*sinf^4*z2^2 - 510*sinf^2*z2^3 - 
    741*z2^4 + 70*sinf^5*z3 - 2100*sinf^3*z2*z3 + 770*sinf*z2^2*z3 + 
    3500*sinf^2*z3^2 - 6300*z2*z3^2 + 2800*sinf^3*z5 - 16800*sinf*z2*z5 + 
    15680*z3*z5 + 25200*sinf*z7)/8400, H[1, 1, 1, 1, 1, 1, 0, -1, 1] -> 
  (-80640*li4half^2 + 161280*li8half + 161280*li7half*ln2 + 
    80640*li6half*ln2^2 + 26880*li5half*ln2^3 + 161280*li7half*sinf + 
    161280*li6half*ln2*sinf + 80640*li5half*ln2^2*sinf + 
    26880*li4half*ln2^3*sinf + 640*ln2^7*sinf - 80640*ln2*s6*sinf + 
    80640*s7a*sinf + 80640*s7b*sinf + 80640*li6half*sinf^2 + 
    80640*li5half*ln2*sinf^2 + 40320*li4half*ln2^2*sinf^2 + 
    1120*ln2^6*sinf^2 + 26880*li5half*sinf^3 + 26880*li4half*ln2*sinf^3 + 
    896*ln2^5*sinf^3 + 6720*li4half*sinf^4 + 280*ln2^4*sinf^4 - 
    161280*li6half*z2 - 161280*li5half*ln2*z2 - 40320*li4half*ln2^2*z2 - 
    1120*ln2^6*z2 - 161280*li5half*sinf*z2 - 161280*li4half*ln2*sinf*z2 - 
    8064*ln2^5*sinf*z2 - 80640*li4half*sinf^2*z2 - 8400*ln2^4*sinf^2*z2 - 
    4480*ln2^3*sinf^3*z2 - 1680*ln2^2*sinf^4*z2 + 112*sinf^6*z2 + 
    44352*li4half*z2^2 + 6888*ln2^4*z2^2 + 26880*ln2^3*sinf*z2^2 + 
    20160*ln2^2*sinf^2*z2^2 - 2520*sinf^4*z2^2 - 11088*ln2^2*z2^3 + 
    14112*ln2*sinf*z2^3 + 6048*sinf^2*z2^3 - 1224*z2^4 + 194880*li5half*z3 + 
    53760*li4half*ln2*z3 + 1792*ln2^5*z3 + 194880*li4half*sinf*z3 + 
    14000*ln2^4*sinf*z3 + 11760*ln2^3*sinf^2*z3 + 11760*ln2^2*sinf^3*z3 + 
    5880*ln2*sinf^4*z3 - 840*sinf^5*z3 - 20720*ln2^3*z2*z3 - 
    119280*ln2^2*sinf*z2*z3 - 70560*ln2*sinf^2*z2*z3 + 1120*sinf^3*z2*z3 + 
    38808*ln2*z2^2*z3 - 116424*sinf*z2^2*z3 + 23520*ln2^2*z3^2 + 
    147840*ln2*sinf*z3^2 + 14070*sinf^2*z3^2 - 33110*z2*z3^2 - 
    22680*sinf^3*z5 - 152712*sinf*z2*z5 - 65520*z3*z5 + 530145*sinf*z7)/
   161280, H[1, 1, 1, 1, 1, 1, -1, 1, 1] -> 
  (70560*li8half - 60480*li7half*sinf + 25200*li6half*sinf^2 - 
    6720*li5half*sinf^3 + 1260*li4half*sinf^4 - 28*ln2^3*sinf^5 - 
    7*ln2^2*sinf^6 - 25200*li6half*z2 + 20160*li5half*sinf*z2 - 
    7560*li4half*sinf^2*z2 + 280*ln2^3*sinf^3*z2 + 105*ln2^2*sinf^4*z2 + 
    84*ln2*sinf^5*z2 + 7*sinf^6*z2 + 756*li4half*z2^2 - 84*ln2^3*sinf*z2^2 - 
    63*ln2^2*sinf^2*z2^2 - 840*ln2*sinf^3*z2^2 - 105*sinf^4*z2^2 + 
    45*ln2^2*z2^3 + 252*ln2*sinf*z2^3 + 63*sinf^2*z2^3 - 45*z2^4 - 
    13440*li5half*z3 + 10080*li4half*sinf*z3 - 560*ln2^3*sinf^2*z3 - 
    280*ln2^2*sinf^3*z3 - 147*sinf^5*z3 + 560*ln2^3*z2*z3 + 
    840*ln2^2*sinf*z2*z3 + 1680*ln2*sinf^2*z2*z3 + 1750*sinf^3*z2*z3 - 
    1680*ln2*z2^2*z3 - 1281*sinf*z2^2*z3 - 280*ln2^2*z3^2 - 
    2940*sinf^2*z3^2 + 3220*z2*z3^2 - 672*ln2^3*z5 - 1008*ln2^2*sinf*z5 + 
    2016*ln2*z2*z5 + 1008*sinf*z2*z5 - 3528*z3*z5)/10080, 
 H[1, 1, 1, 1, 1, 1, -1, 0, 1] -> (-241920*li8half - 6*ln2^8 + 21105*s8a + 
    241920*s8b + 40320*s8d + 241920*li7half*sinf - 48*ln2^7*sinf + 
    40320*ln2*s6*sinf - 40320*s7a*sinf - 120960*li6half*sinf^2 - 
    168*ln2^6*sinf^2 + 20160*s6*sinf^2 + 40320*li5half*sinf^3 - 
    336*ln2^5*sinf^3 - 10080*li4half*sinf^4 - 420*ln2^4*sinf^4 + 
    201600*li6half*z2 + 280*ln2^6*z2 - 120960*s6*z2 - 
    201600*li5half*sinf*z2 + 1680*ln2^5*sinf*z2 + 100800*li4half*sinf^2*z2 + 
    4200*ln2^4*sinf^2*z2 - 1008*ln2*sinf^5*z2 - 56*sinf^6*z2 - 
    6048*li4half*z2^2 - 1428*ln2^4*z2^2 - 4704*ln2^3*sinf*z2^2 - 
    7056*ln2^2*sinf^2*z2^2 + 12096*ln2*sinf^3*z2^2 + 2688*sinf^4*z2^2 - 
    4176*ln2^2*z2^3 - 27504*ln2*sinf*z2^3 - 11592*sinf^2*z2^3 - 16956*z2^4 + 
    80640*li5half*z3 - 672*ln2^5*z3 - 161280*li4half*sinf*z3 - 
    6720*ln2^4*sinf*z3 + 1092*sinf^5*z3 + 20160*ln2^2*sinf*z2*z3 - 
    20160*ln2*sinf^2*z2*z3 - 24920*sinf^3*z2*z3 + 24192*ln2*z2^2*z3 + 
    62076*sinf*z2^2*z3 - 50400*ln2*sinf*z3^2 + 31920*sinf^2*z3^2 - 
    67760*z2*z3^2 - 39060*ln2^2*sinf*z5 - 420*sinf^3*z5 - 24192*ln2*z2*z5 - 
    8064*sinf*z2*z5 + 57813*z3*z5 + 38745*sinf*z7)/80640, 
 H[1, 1, 1, 1, 1, 1, -1, -1, 1] -> (-322560*li8half + 6*ln2^8 - 21105*s8a - 
    241920*s8b - 40320*s8d + 241920*li7half*sinf + 48*ln2^7*sinf - 
    40320*ln2*s6*sinf + 40320*s7a*sinf - 80640*li6half*sinf^2 + 
    168*ln2^6*sinf^2 - 20160*s6*sinf^2 + 13440*li5half*sinf^3 + 
    336*ln2^5*sinf^3 + 420*ln2^4*sinf^4 + 224*ln2^3*sinf^5 + 
    56*ln2^2*sinf^6 + 80640*li6half*z2 - 280*ln2^6*z2 + 120960*s6*z2 - 
    40320*li5half*sinf*z2 - 1680*ln2^5*sinf*z2 - 4200*ln2^4*sinf^2*z2 - 
    4480*ln2^3*sinf^3*z2 - 2520*ln2^2*sinf^4*z2 - 336*ln2*sinf^5*z2 - 
    8064*li4half*z2^2 + 1428*ln2^4*z2^2 + 6720*ln2^3*sinf*z2^2 + 
    9576*ln2^2*sinf^2*z2^2 + 2688*ln2*sinf^3*z2^2 - 168*sinf^4*z2^2 + 
    1656*ln2^2*z2^3 + 17136*ln2*sinf*z2^3 + 9072*sinf^2*z2^3 + 19476*z2^4 + 
    107520*li5half*z3 + 672*ln2^5*z3 + 6720*ln2^4*sinf*z3 + 
    11200*ln2^3*sinf^2*z3 + 8960*ln2^2*sinf^3*z3 + 3360*ln2*sinf^4*z3 + 
    84*sinf^5*z3 - 15680*ln2^3*z2*z3 - 60480*ln2^2*sinf*z2*z3 - 
    47040*ln2*sinf^2*z2*z3 - 7560*sinf^3*z2*z3 + 27552*ln2*z2^2*z3 - 
    11172*sinf*z2^2*z3 + 15680*ln2^2*z3^2 + 77280*ln2*sinf*z3^2 + 
    26880*sinf^2*z3^2 - 30240*z2*z3^2 + 18816*ln2^3*z5 + 
    87444*ln2^2*sinf*z5 + 40320*ln2*sinf^2*z5 + 420*sinf^3*z5 - 
    88704*ln2*z2*z5 - 40320*sinf*z2*z5 + 40971*z3*z5 + 80640*ln2*z7 - 
    38745*sinf*z7)/80640, H[1, 1, 1, 1, 1, 0, 1, 1, 1] -> 
  (-210*sinf^4*z2^2 - 3540*sinf^2*z2^3 - 7422*z2^4 + 35*sinf^5*z3 - 
    350*sinf^3*z2*z3 - 1575*sinf*z2^2*z3 + 700*sinf^2*z3^2 - 700*z2*z3^2 + 
    4200*sinf^3*z5 - 12600*sinf*z2*z5 + 9240*z3*z5 + 63000*sinf*z7)/4200, 
 H[1, 1, 1, 1, 1, 0, 1, 0, 1] -> (16800*s8a + 1225*sinf^4*z2^2 + 
    7450*sinf^2*z2^3 + 7343*z2^4 - 700*sinf^5*z3 + 21000*sinf^3*z2*z3 - 
    700*sinf*z2^2*z3 - 35000*sinf^2*z3^2 + 63000*z2*z3^2 - 38500*sinf^3*z5 + 
    283500*sinf*z2*z5 - 177800*z3*z5 - 462000*sinf*z7)/42000, 
 H[1, 1, 1, 1, 1, 0, 1, -1, 1] -> (12096000*li4half^2 - 56448000*li8half - 
    48384000*li7half*ln2 - 20160000*li6half*ln2^2 - 5376000*li5half*ln2^3 + 
    4000*ln2^8 - 2016000*ln2^2*s6 + 3802050*s8a - 25200000*s8b + 
    4032000*s8c - 4032000*s8d - 48384000*li7half*sinf - 
    40320000*li6half*ln2*sinf - 16128000*li5half*ln2^2*sinf - 
    4032000*li4half*ln2^3*sinf - 80000*ln2^7*sinf + 10080000*ln2*s6*sinf - 
    10080000*s7a*sinf - 10080000*s7b*sinf - 20160000*li6half*sinf^2 - 
    16128000*li5half*ln2*sinf^2 - 6048000*li4half*ln2^2*sinf^2 - 
    145600*ln2^6*sinf^2 - 10080000*s6*sinf^2 - 5376000*li5half*sinf^3 - 
    4032000*li4half*ln2*sinf^3 - 123200*ln2^5*sinf^3 + 
    336000*li4half*sinf^4 + 14000*ln2^4*sinf^4 + 40320000*li6half*z2 + 
    32256000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 100800*ln2^6*z2 + 
    18144000*s6*z2 + 32256000*li5half*sinf*z2 + 24192000*li4half*ln2*sinf*
     z2 + 1041600*ln2^5*sinf*z2 + 4032000*li4half*sinf^2*z2 + 
    756000*ln2^4*sinf^2*z2 + 560000*ln2^3*sinf^3*z2 - 84000*ln2^2*sinf^4*z2 + 
    100800*ln2*sinf^5*z2 - 6652800*li4half*z2^2 - 697200*ln2^4*z2^2 - 
    3360000*ln2^3*sinf*z2^2 - 1008000*ln2^2*sinf^2*z2^2 + 
    436800*ln2*sinf^3*z2^2 + 8400*sinf^4*z2^2 + 1562400*ln2^2*z2^3 + 
    3420000*ln2*sinf*z2^3 + 2023200*sinf^2*z2^3 - 6912*z2^4 - 
    30912000*li5half*z3 - 8064000*li4half*ln2*z3 - 196000*ln2^5*z3 - 
    18480000*li4half*sinf*z3 - 1358000*ln2^4*sinf*z3 - 
    1176000*ln2^3*sinf^2*z3 - 1176000*ln2^2*sinf^3*z3 - 
    588000*ln2*sinf^4*z3 - 67200*sinf^5*z3 + 1792000*ln2^3*z2*z3 + 
    11676000*ln2^2*sinf*z2*z3 + 9072000*ln2*sinf^2*z2*z3 + 
    1848000*sinf^3*z2*z3 - 7467600*ln2*z2^2*z3 + 12465600*sinf*z2^2*z3 - 
    2919000*ln2^2*z3^2 - 17304000*ln2*sinf*z3^2 - 651000*sinf^2*z3^2 + 
    420000*z2*z3^2 + 1701000*sinf^3*z5 - 9676800*ln2*z2*z5 + 
    24507000*sinf*z2*z5 + 26532450*z3*z5 - 66268125*sinf*z7)/8064000, 
 H[1, 1, 1, 1, 1, 0, 0, 1, 1] -> (-16800*s8a - 875*sinf^4*z2^2 + 
    4850*sinf^2*z2^3 + 21667*z2^4 + 350*sinf^5*z3 + 3500*sinf^3*z2*z3 + 
    23450*sinf*z2^2*z3 - 14000*sinf^2*z3^2 + 28000*z2*z3^2 - 3500*sinf^3*z5 + 
    52500*sinf*z2*z5 - 166600*z3*z5 - 168000*sinf*z7)/42000, 
 H[1, 1, 1, 1, 1, 0, 0, 0, 1] -> (-35*sinf^4*z2^2 - 135*sinf^2*z2^3 - 
    408*z2^4 - 350*sinf^3*z2*z3 - 280*sinf*z2^2*z3 + 1050*sinf^2*z3^2 - 
    2800*z2*z3^2 + 700*sinf^3*z5 - 6300*sinf*z2*z5 + 7700*z3*z5 + 
    10500*sinf*z7)/2100, H[1, 1, 1, 1, 1, 0, 0, -1, 1] -> 
  (-2016000*li4half^2 + 4032000*li8half + 4032000*li7half*ln2 + 
    2016000*li6half*ln2^2 + 672000*li5half*ln2^3 + 504000*ln2^2*s6 - 
    1008000*ln2*s7a - 604800*s8a - 6048000*s8b - 1008000*s8d + 
    4032000*li7half*sinf + 4032000*li6half*ln2*sinf + 
    2016000*li5half*ln2^2*sinf + 672000*li4half*ln2^3*sinf + 
    16000*ln2^7*sinf - 2016000*ln2*s6*sinf + 1008000*s7a*sinf + 
    2016000*s7b*sinf + 2016000*li6half*sinf^2 + 2016000*li5half*ln2*sinf^2 + 
    1008000*li4half*ln2^2*sinf^2 + 28000*ln2^6*sinf^2 - 504000*s6*sinf^2 + 
    672000*li5half*sinf^3 + 672000*li4half*ln2*sinf^3 + 22400*ln2^5*sinf^3 + 
    168000*li4half*sinf^4 + 7000*ln2^4*sinf^4 - 4032000*li6half*z2 - 
    4032000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 28000*ln2^6*z2 + 
    3528000*s6*z2 - 4032000*li5half*sinf*z2 - 4032000*li4half*ln2*sinf*z2 - 
    201600*ln2^5*sinf*z2 - 2016000*li4half*sinf^2*z2 - 
    210000*ln2^4*sinf^2*z2 - 112000*ln2^3*sinf^3*z2 - 42000*ln2^2*sinf^4*z2 + 
    907200*li4half*z2^2 + 163800*ln2^4*z2^2 + 672000*ln2^3*sinf*z2^2 + 
    504000*ln2^2*sinf^2*z2^2 - 92400*sinf^4*z2^2 - 428400*ln2^2*z2^3 + 
    352800*ln2*sinf*z2^3 + 44400*sinf^2*z2^3 - 16608*z2^4 + 
    6888000*li5half*z3 + 1344000*li4half*ln2*z3 + 28000*ln2^5*z3 + 
    4872000*li4half*sinf*z3 + 350000*ln2^4*sinf*z3 + 294000*ln2^3*sinf^2*z3 + 
    294000*ln2^2*sinf^3*z3 + 147000*ln2*sinf^4*z3 + 12600*sinf^5*z3 - 
    350000*ln2^3*z2*z3 - 2982000*ln2^2*sinf*z2*z3 - 
    1764000*ln2*sinf^2*z2*z3 - 252000*sinf^3*z2*z3 + 1726200*ln2*z2^2*z3 - 
    3045000*sinf*z2^2*z3 - 42000*ln2^2*z3^2 + 3696000*ln2*sinf*z3^2 + 
    897750*sinf^2*z3^2 - 1527750*z2*z3^2 - 651000*ln2^3*z5 + 
    976500*ln2*sinf^2*z5 - 157500*sinf^3*z5 - 1984500*ln2*z2*z5 - 
    5449500*sinf*z2*z5 - 760725*z3*z5 + 2984625*ln2*z7 + 15112125*sinf*z7)/
   2016000, H[1, 1, 1, 1, 1, 0, -1, 1, 1] -> 
  (12096000*li4half^2 + 8064000*li8half - 4032000*li6half*ln2^2 - 
    2688000*li5half*ln2^3 - 4000*ln2^8 + 2016000*ln2^2*s6 - 3802050*s8a + 
    25200000*s8b - 4032000*s8c + 4032000*s8d + 8064000*li7half*sinf - 
    4032000*li5half*ln2^2*sinf - 2688000*li4half*ln2^3*sinf - 
    80000*ln2^7*sinf + 10080000*ln2*s6*sinf - 10080000*s7a*sinf - 
    10080000*s7b*sinf + 4032000*li6half*sinf^2 - 2016000*li4half*ln2^2*
     sinf^2 - 78400*ln2^6*sinf^2 + 10080000*s6*sinf^2 + 
    1344000*li5half*sinf^3 - 11200*ln2^5*sinf^3 - 1008000*li4half*sinf^4 - 
    42000*ln2^4*sinf^4 + 8064000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 
    123200*ln2^6*z2 - 18144000*s6*z2 + 8064000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 + 8064000*li4half*sinf^2*z2 + 
    756000*ln2^4*sinf^2*z2 + 112000*ln2^3*sinf^3*z2 + 
    252000*ln2^2*sinf^4*z2 - 100800*ln2*sinf^5*z2 - 1814400*li4half*z2^2 - 
    663600*ln2^4*z2^2 - 2016000*ln2^3*sinf*z2^2 - 2016000*ln2^2*sinf^2*z2^2 - 
    436800*ln2*sinf^3*z2^2 + 75600*sinf^4*z2^2 + 554400*ln2^2*z2^3 - 
    6948000*ln2*sinf*z2^3 - 2527200*sinf^2*z2^3 + 57312*z2^4 - 
    19488000*li5half*z3 - 72800*ln2^5*z3 - 22176000*li4half*sinf*z3 - 
    1806000*ln2^4*sinf*z3 - 1176000*ln2^3*sinf^2*z3 - 
    588000*ln2^2*sinf^3*z3 + 109200*sinf^5*z3 + 1904000*ln2^3*z2*z3 + 
    12600000*ln2^2*sinf*z2*z3 + 1512000*ln2*sinf^2*z2*z3 - 
    504000*sinf^3*z2*z3 + 58800*ln2*z2^2*z3 + 15296400*sinf*z2^2*z3 - 
    609000*ln2^2*z3^2 - 12600000*ln2*sinf*z3^2 - 4683000*sinf^2*z3^2 + 
    8442000*z2*z3^2 + 1701000*sinf^3*z5 + 9676800*ln2*z2*z5 + 
    24507000*sinf*z2*z5 - 18720450*z3*z5 - 66268125*sinf*z7)/8064000, 
 H[1, 1, 1, 1, 1, 0, -1, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 51450*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf - 
    2016000*li6half*z2 - 2016000*li5half*ln2*z2 + 14000*ln2^6*z2 - 
    2016000*li5half*sinf*z2 - 2016000*li4half*ln2*sinf*z2 - 
    67200*ln2^5*sinf*z2 - 1008000*li4half*sinf^2*z2 - 42000*ln2^4*sinf^2*z2 + 
    1209600*li4half*z2^2 + 50400*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 + 
    252000*ln2^2*sinf^2*z2^2 + 23800*sinf^4*z2^2 - 302400*ln2^2*z2^3 + 
    352800*ln2*sinf*z2^3 + 298000*sinf^2*z2^3 + 127472*z2^4 + 
    3528000*li5half*z3 - 29400*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    147000*ln2^4*sinf*z3 - 16800*sinf^5*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    882000*ln2*sinf^2*z2*z3 + 210000*sinf^3*z2*z3 + 1058400*ln2*z2^2*z3 - 
    2228800*sinf*z2^2*z3 + 2520000*ln2*sinf*z3^2 - 68250*sinf^2*z3^2 - 
    362250*z2*z3^2 - 287000*sinf^3*z5 - 3927000*sinf*z2*z5 - 1853950*z3*z5 + 
    13846875*sinf*z7)/1344000, H[1, 1, 1, 1, 1, 0, -1, -1, 1] -> 
  (-40320*li4half^2 + 322560*li8half + 322560*li7half*ln2 + 
    161280*li6half*ln2^2 + 53760*li5half*ln2^3 + 10080*li4half*ln2^4 + 
    210*ln2^8 - 20160*ln2^2*s6 + 40320*ln2*s7a + 21105*s8a + 241920*s8b + 
    40320*s8d + 241920*li7half*sinf + 241920*li6half*ln2*sinf + 
    120960*li5half*ln2^2*sinf + 40320*li4half*ln2^3*sinf + 960*ln2^7*sinf + 
    40320*s7a*sinf + 80640*li6half*sinf^2 + 80640*li5half*ln2*sinf^2 + 
    40320*li4half*ln2^2*sinf^2 + 1120*ln2^6*sinf^2 + 20160*s6*sinf^2 + 
    13440*li5half*sinf^3 + 13440*li4half*ln2*sinf^3 + 448*ln2^5*sinf^3 - 
    201600*li6half*z2 - 201600*li5half*ln2*z2 - 80640*li4half*ln2^2*z2 - 
    3080*ln2^6*z2 - 141120*s6*z2 - 120960*li5half*sinf*z2 - 
    120960*li4half*ln2*sinf*z2 - 8064*ln2^5*sinf*z2 - 
    20160*li4half*sinf^2*z2 - 5880*ln2^4*sinf^2*z2 - 2240*ln2^3*sinf^3*z2 + 
    24192*li4half*z2^2 + 11088*ln2^4*z2^2 + 20160*ln2^3*sinf*z2^2 + 
    5040*ln2^2*sinf^2*z2^2 - 252*sinf^4*z2^2 + 2016*ln2^2*z2^3 - 
    7560*sinf^2*z2^3 - 10656*z2^4 + 97440*li5half*z3 + 
    107520*li4half*ln2*z3 + 6020*ln2^5*z3 + 80640*li4half*sinf*z3 + 
    12180*ln2^4*sinf*z3 + 11760*ln2^3*sinf^2*z3 + 5880*ln2^2*sinf^3*z3 + 
    84*sinf^5*z3 - 48160*ln2^3*z2*z3 - 73080*ln2^2*sinf*z2*z3 - 
    17640*ln2*sinf^2*z2*z3 - 840*sinf^3*z2*z3 - 16128*ln2*z2^2*z3 - 
    35532*sinf*z2^2*z3 + 72240*ln2^2*z3^2 + 70560*ln2*sinf*z3^2 - 
    3675*sinf^2*z3^2 - 16485*z2*z3^2 + 26040*ln2^3*z5 - 39060*ln2*sinf^2*z5 - 
    10500*sinf^3*z5 + 79380*ln2*z2*z5 + 71820*sinf*z2*z5 - 54894*z3*z5 - 
    119385*ln2*z7 - 109935*sinf*z7)/80640, H[1, 1, 1, 1, 1, -1, 1, 1, 1] -> 
  (-60480*li8half + 43200*li7half*sinf - 14400*li6half*sinf^2 + 
    2880*li5half*sinf^3 - 360*li4half*sinf^4 + 4*ln2^3*sinf^5 + 
    14400*li6half*z2 - 8640*li5half*sinf*z2 + 2160*li4half*sinf^2*z2 - 
    40*ln2^3*sinf^3*z2 - 12*ln2*sinf^5*z2 - 216*li4half*z2^2 + 
    12*ln2^3*sinf*z2^2 + 120*ln2*sinf^3*z2^2 - 36*ln2*sinf*z2^3 + 
    5760*li5half*z3 - 2880*li4half*sinf*z3 + 80*ln2^3*sinf^2*z3 + 
    21*sinf^5*z3 - 80*ln2^3*z2*z3 - 240*ln2*sinf^2*z2*z3 - 210*sinf^3*z2*z3 + 
    240*ln2*z2^2*z3 + 63*sinf*z2^2*z3 + 420*sinf^2*z3^2 - 420*z2*z3^2 + 
    96*ln2^3*z5 - 288*ln2*z2*z5 + 504*z3*z5)/2880, 
 H[1, 1, 1, 1, 1, -1, 1, 0, 1] -> (423360000*li8half + 10500*ln2^8 - 
    10080000*ln2^2*s6 + 11357325*s8a - 95760000*s8b + 20160000*s8c - 
    41328000*s8d - 338688000*li7half*sinf + 67200*ln2^7*sinf - 
    27216000*ln2*s6*sinf + 27216000*s7a*sinf + 20160000*s7b*sinf + 
    127008000*li6half*sinf^2 + 176400*ln2^6*sinf^2 + 3528000*s6*sinf^2 - 
    28224000*li5half*sinf^3 + 235200*ln2^5*sinf^3 + 3528000*li4half*sinf^4 + 
    147000*ln2^4*sinf^4 - 268128000*li6half*z2 - 352800*ln2^6*z2 + 
    89712000*s6*z2 + 197568000*li5half*sinf*z2 - 1528800*ln2^5*sinf*z2 - 
    63504000*li4half*sinf^2*z2 - 2352000*ln2^4*sinf^2*z2 + 
    392000*ln2^3*sinf^3*z2 + 294000*ln2^2*sinf^4*z2 + 117600*ln2*sinf^5*z2 + 
    2318400*li4half*z2^2 + 1125600*ln2^4*z2^2 + 2469600*ln2^3*sinf*z2^2 + 
    1234800*ln2^2*sinf^2*z2^2 - 5527200*ln2*sinf^3*z2^2 - 
    441000*sinf^4*z2^2 + 5392800*ln2^2*z2^3 + 15321600*ln2*sinf*z2^3 + 
    1839600*sinf^2*z2^3 + 16878132*z2^4 - 86688000*li5half*z3 + 
    722400*ln2^5*z3 + 112896000*li4half*sinf*z3 + 4704000*ln2^4*sinf*z3 - 
    235200*sinf^5*z3 - 1736000*ln2^3*z2*z3 - 18816000*ln2^2*sinf*z2*z3 + 
    2352000*ln2*sinf^2*z2*z3 + 10584000*sinf^3*z2*z3 - 33356400*ln2*z2^2*z3 - 
    46720800*sinf*z2^2*z3 - 2835000*ln2^2*z3^2 + 34020000*ln2*sinf*z3^2 - 
    18375000*sinf^2*z3^2 + 27216000*z2*z3^2 + 6835500*ln2^2*sinf*z5 + 
    2131500*sinf^3*z5 - 57657600*ln2*z2*z5 - 65394000*sinf*z2*z5 - 
    24983175*z3*z5 + 153538875*sinf*z7)/28224000, 
 H[1, 1, 1, 1, 1, -1, 1, -1, 1] -> (508032000*li8half - 2100*ln2^8 - 
    10080000*ln2^2*s6 + 55677825*s8a + 412272000*s8b + 20160000*s8c + 
    43344000*s8d - 338688000*li7half*sinf - 16800*ln2^7*sinf + 
    43344000*ln2*s6*sinf - 43344000*s7a*sinf + 20160000*s7b*sinf + 
    98784000*li6half*sinf^2 - 58800*ln2^6*sinf^2 + 31752000*s6*sinf^2 - 
    14112000*li5half*sinf^3 - 117600*ln2^5*sinf^3 - 147000*ln2^4*sinf^4 - 
    39200*ln2^3*sinf^5 - 98784000*li6half*z2 + 117600*ln2^6*z2 - 
    150192000*s6*z2 + 42336000*li5half*sinf*z2 + 705600*ln2^5*sinf*z2 + 
    1764000*ln2^4*sinf^2*z2 + 1568000*ln2^3*sinf^3*z2 + 
    882000*ln2^2*sinf^4*z2 + 117600*ln2*sinf^5*z2 + 8668800*li4half*z2^2 - 
    344400*ln2^4*z2^2 - 2587200*ln2^3*sinf*z2^2 - 3704400*ln2^2*sinf^2*z2^2 - 
    117600*ln2*sinf^3*z2^2 + 264600*sinf^4*z2^2 - 302400*ln2^2*z2^3 - 
    17841600*ln2*sinf*z2^3 - 10861200*sinf^2*z2^3 - 29051388*z2^4 - 
    114912000*li5half*z3 + 16800*ln2^5*z3 - 3528000*ln2^4*sinf*z3 - 
    5488000*ln2^3*sinf^2*z3 - 4704000*ln2^2*sinf^3*z3 - 
    2352000*ln2*sinf^4*z3 - 58800*sinf^5*z3 + 5320000*ln2^3*z2*z3 + 
    35280000*ln2^2*sinf*z2*z3 + 30576000*ln2*sinf^2*z2*z3 + 
    5292000*sinf^3*z2*z3 - 38060400*ln2*z2^2*z3 + 3200400*sinf*z2^2*z3 - 
    12243000*ln2^2*z3^2 - 72996000*ln2*sinf*z3^2 - 25431000*sinf^2*z3^2 + 
    6048000*z2*z3^2 - 19756800*ln2^3*z5 - 117967500*ln2^2*sinf*z5 - 
    56448000*ln2*sinf^2*z5 + 1690500*sinf^3*z5 + 55238400*ln2*z2*z5 - 
    9828000*sinf*z2*z5 - 52281075*z3*z5 - 169344000*ln2*z7 + 
    221342625*sinf*z7)/28224000, H[1, 1, 1, 1, 1, -1, 0, 1, 1] -> 
  (84672000*li8half + 2100*ln2^8 + 10080000*ln2^2*s6 - 55677825*s8a - 
    412272000*s8b - 20160000*s8c - 43344000*s8d - 84672000*li7half*sinf + 
    16800*ln2^7*sinf - 43344000*ln2*s6*sinf + 43344000*s7a*sinf - 
    20160000*s7b*sinf + 42336000*li6half*sinf^2 + 58800*ln2^6*sinf^2 - 
    31752000*s6*sinf^2 - 14112000*li5half*sinf^3 + 117600*ln2^5*sinf^3 + 
    3528000*li4half*sinf^4 + 147000*ln2^4*sinf^4 - 70560000*li6half*z2 - 
    117600*ln2^6*z2 + 150192000*s6*z2 + 70560000*li5half*sinf*z2 - 
    705600*ln2^5*sinf*z2 - 35280000*li4half*sinf^2*z2 - 
    1764000*ln2^4*sinf^2*z2 - 392000*ln2^3*sinf^3*z2 - 
    294000*ln2^2*sinf^4*z2 + 235200*ln2*sinf^5*z2 - 26308800*li4half*z2^2 + 
    344400*ln2^4*z2^2 + 5762400*ln2^3*sinf*z2^2 + 8643600*ln2^2*sinf^2*z2^2 - 
    117600*ln2*sinf^3*z2^2 - 852600*sinf^4*z2^2 + 8316000*ln2^2*z2^3 + 
    24343200*ln2*sinf*z2^3 + 5922000*sinf^2*z2^3 + 21037788*z2^4 + 
    2016000*li5half*z3 - 16800*ln2^5*z3 + 84672000*li4half*sinf*z3 + 
    3528000*ln2^4*sinf*z3 - 147000*sinf^5*z3 + 1736000*ln2^3*z2*z3 - 
    16464000*ln2^2*sinf*z2*z3 + 4704000*ln2*sinf^2*z2*z3 + 
    5586000*sinf^3*z2*z3 + 22066800*ln2*z2^2*z3 - 5346600*sinf*z2^2*z3 + 
    2835000*ln2^2*z3^2 + 54180000*ln2*sinf*z3^2 - 3381000*sinf^2*z3^2 + 
    40404000*z2*z3^2 + 61519500*ln2^2*sinf*z5 - 1690500*sinf^3*z5 + 
    66124800*ln2*z2*z5 + 66276000*sinf*z2*z5 - 51442125*z3*z5 - 
    221342625*sinf*z7)/28224000, H[1, 1, 1, 1, 1, -1, 0, 0, 1] -> 
  (-403200*li8half - 10*ln2^8 + 211050*s8a + 2520000*s8b + 403200*s8d + 
    403200*li7half*sinf - 80*ln2^7*sinf + 403200*ln2*s6*sinf - 
    403200*s7a*sinf - 201600*li6half*sinf^2 - 280*ln2^6*sinf^2 + 
    201600*s6*sinf^2 + 67200*li5half*sinf^3 - 560*ln2^5*sinf^3 - 
    16800*li4half*sinf^4 - 700*ln2^4*sinf^4 + 806400*li6half*z2 + 
    1400*ln2^6*z2 - 1310400*s6*z2 - 806400*li5half*sinf*z2 + 
    8400*ln2^5*sinf*z2 + 403200*li4half*sinf^2*z2 + 21000*ln2^4*sinf^2*z2 + 
    5600*ln2^3*sinf^3*z2 + 4200*ln2^2*sinf^4*z2 + 30240*li4half*z2^2 - 
    14700*ln2^4*z2^2 - 63840*ln2^3*sinf*z2^2 - 95760*ln2^2*sinf^2*z2^2 + 
    3360*ln2*sinf^3*z2^2 + 1680*sinf^4*z2^2 - 26280*ln2^2*z2^3 - 
    198720*ln2*sinf*z2^3 - 87120*sinf^2*z2^3 - 170712*z2^4 + 
    134400*li5half*z3 - 1120*ln2^5*z3 - 940800*li4half*sinf*z3 - 
    39200*ln2^4*sinf*z3 + 1260*sinf^5*z3 + 11200*ln2^3*z2*z3 + 
    235200*ln2^2*sinf*z2*z3 - 67200*sinf^3*z2*z3 + 6720*ln2*z2^2*z3 + 
    334740*sinf*z2^2*z3 - 504000*ln2*sinf*z3^2 + 75600*sinf^2*z3^2 - 
    336000*z2*z3^2 - 390600*ln2^2*sinf*z5 + 63000*sinf^3*z5 - 
    195300*sinf*z2*z5 + 379890*z3*z5 + 789075*sinf*z7)/201600, 
 H[1, 1, 1, 1, 1, -1, 0, -1, 1] -> (16128000*li8half - 4032000*li7half*ln2 - 
    2016000*li6half*ln2^2 - 672000*li5half*ln2^3 - 168000*li4half*ln2^4 - 
    3000*ln2^8 - 2016000*ln2^2*s6 - 2016000*ln2*s7a - 2016000*ln2*s7b + 
    6180300*s8a + 24192000*s8b + 8064000*s8c - 4032000*s8d - 
    24192000*li7half*sinf - 4032000*li6half*ln2*sinf - 
    2016000*li5half*ln2^2*sinf - 672000*li4half*ln2^3*sinf - 
    12000*ln2^7*sinf + 4032000*s7b*sinf + 8064000*li6half*sinf^2 - 
    2016000*li5half*ln2*sinf^2 - 1008000*li4half*ln2^2*sinf^2 - 
    14000*ln2^6*sinf^2 + 2016000*s6*sinf^2 - 4032000*li5half*sinf^3 - 
    672000*li4half*ln2*sinf^3 + 5600*ln2^5*sinf^3 + 672000*li4half*sinf^4 + 
    28000*ln2^4*sinf^4 - 8064000*li6half*z2 + 4032000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 42000*ln2^6*z2 + 4032000*s6*z2 + 
    16128000*li5half*sinf*z2 + 4032000*li4half*ln2*sinf*z2 + 
    33600*ln2^5*sinf*z2 - 4032000*li4half*sinf^2*z2 - 
    210000*ln2^4*sinf^2*z2 - 112000*ln2^3*sinf^3*z2 - 
    126000*ln2^2*sinf^4*z2 + 16800*ln2*sinf^5*z2 + 100800*li4half*z2^2 - 
    310800*ln2^4*z2^2 - 924000*ln2^3*sinf*z2^2 - 882000*ln2^2*sinf^2*z2^2 - 
    1260000*ln2*sinf^3*z2^2 - 252000*sinf^4*z2^2 - 122400*ln2^2*z2^3 + 
    7200*ln2*sinf*z2^3 - 500400*sinf^2*z2^3 + 2076048*z2^4 - 
    6048000*li5half*z3 - 4872000*li4half*ln2*z3 - 64400*ln2^5*z3 + 
    4368000*li4half*sinf*z3 + 623000*ln2^4*sinf*z3 + 882000*ln2^3*sinf^2*z3 + 
    882000*ln2^2*sinf^3*z3 + 441000*ln2*sinf^4*z3 - 8400*sinf^5*z3 - 
    938000*ln2^3*z2*z3 - 6048000*ln2^2*sinf*z2*z3 - 
    4956000*ln2*sinf^2*z2*z3 - 504000*sinf^3*z2*z3 - 5304600*ln2*z2^2*z3 - 
    4145400*sinf*z2^2*z3 - 1118250*ln2^2*z3^2 + 5071500*ln2*sinf*z3^2 + 
    840000*sinf^2*z3^2 - 8961750*z2*z3^2 + 3255000*ln2^3*z5 + 
    5859000*ln2^2*sinf*z5 + 9765000*ln2*sinf^2*z5 + 5124000*sinf^3*z5 - 
    37396800*ln2*z2*z5 - 37107000*sinf*z2*z5 + 14944650*z3*z5 + 
    10938375*ln2*z7 + 65882250*sinf*z7)/4032000, 
 H[1, 1, 1, 1, 1, -1, -1, 1, 1] -> (169344000*li8half - 10500*ln2^8 + 
    10080000*ln2^2*s6 - 11357325*s8a + 95760000*s8b - 20160000*s8c + 
    41328000*s8d - 84672000*li7half*sinf - 67200*ln2^7*sinf + 
    27216000*ln2*s6*sinf - 27216000*s7a*sinf - 20160000*s7b*sinf + 
    14112000*li6half*sinf^2 - 176400*ln2^6*sinf^2 - 3528000*s6*sinf^2 - 
    235200*ln2^5*sinf^3 - 147000*ln2^4*sinf^4 - 39200*ln2^3*sinf^5 - 
    14112000*li6half*z2 + 352800*ln2^6*z2 - 89712000*s6*z2 + 
    1528800*ln2^5*sinf*z2 + 2352000*ln2^4*sinf^2*z2 + 
    1568000*ln2^3*sinf^3*z2 + 294000*ln2^2*sinf^4*z2 + 8265600*li4half*z2^2 - 
    1125600*ln2^4*z2^2 - 3528000*ln2^3*sinf*z2^2 - 
    1940400*ln2^2*sinf^2*z2^2 - 352800*ln2*sinf^3*z2^2 - 147000*sinf^4*z2^2 - 
    4636800*ln2^2*z2^3 - 12146400*ln2*sinf*z2^3 - 1134000*sinf^2*z2^3 - 
    17634132*z2^4 - 82656000*li5half*z3 - 722400*ln2^5*z3 - 
    4704000*ln2^4*sinf*z3 - 5488000*ln2^3*sinf^2*z3 - 
    2352000*ln2^2*sinf^3*z3 + 29400*sinf^5*z3 + 10360000*ln2^3*z2*z3 + 
    30576000*ln2^2*sinf*z2*z3 + 14112000*ln2*sinf^2*z2*z3 + 
    2058000*sinf^3*z2*z3 + 7484400*ln2*z2^2*z3 + 29404200*sinf*z2^2*z3 - 
    1869000*ln2^2*z3^2 - 34020000*ln2*sinf*z3^2 - 10437000*sinf^2*z3^2 + 
    22764000*z2*z3^2 - 10348800*ln2^3*z5 - 20947500*ln2^2*sinf*z5 - 
    2131500*sinf^3*z5 + 88704000*ln2*z2*z5 + 79506000*sinf*z2*z5 - 
    29348025*z3*z5 - 153538875*sinf*z7)/28224000, 
 H[1, 1, 1, 1, 1, -1, -1, 0, 1] -> 
  (-5644800*li8half - 140*ln2^8 - 211050*s8a - 2822400*s8b - 403200*s8d + 
    4435200*li7half*sinf - 880*ln2^7*sinf - 604800*ln2*s6*sinf + 
    604800*s7a*sinf - 1612800*li6half*sinf^2 - 2240*ln2^6*sinf^2 - 
    403200*s6*sinf^2 + 336000*li5half*sinf^3 - 2800*ln2^5*sinf^3 - 
    33600*li4half*sinf^4 - 1400*ln2^4*sinf^4 + 2419200*li6half*z2 + 
    2800*ln2^6*z2 + 1612800*s6*z2 - 1411200*li5half*sinf*z2 + 
    8400*ln2^5*sinf*z2 + 201600*li4half*sinf^2*z2 - 11200*ln2^3*sinf^3*z2 - 
    8400*ln2^2*sinf^4*z2 - 1680*ln2*sinf^5*z2 - 100800*li4half*z2^2 + 
    15960*ln2^4*z2^2 + 104160*ln2^3*sinf*z2^2 + 191520*ln2^2*sinf^2*z2^2 + 
    100800*ln2*sinf^3*z2^2 + 11760*sinf^4*z2^2 - 15120*ln2^2*z2^3 + 
    218160*ln2*sinf*z2^3 + 167040*sinf^2*z2^3 + 169128*z2^4 + 
    1881600*li5half*z3 - 15680*ln2^5*z3 - 268800*li4half*sinf*z3 - 
    11200*ln2^4*sinf*z3 + 420*sinf^5*z3 - 22400*ln2^3*z2*z3 - 
    369600*ln2^2*sinf*z2*z3 - 336000*ln2*sinf^2*z2*z3 - 46200*sinf^3*z2*z3 + 
    564480*ln2*z2^2*z3 - 30660*sinf*z2^2*z3 + 756000*ln2*sinf*z3^2 + 
    336000*sinf^2*z3^2 - 571200*z2*z3^2 + 585900*ln2^2*sinf*z5 - 
    258300*sinf^3*z5 - 645120*ln2*z2*z5 + 579600*sinf*z2*z5 + 214830*z3*z5 - 
    2187675*sinf*z7)/403200, H[1, 1, 1, 1, 1, -1, -1, -1, 1] -> 
  (-2016000*li8half + 160*ln2^8 - 211050*s8a - 2217600*s8b - 403200*s8d + 
    806400*li7half*sinf + 1040*ln2^7*sinf - 201600*ln2*s6*sinf + 
    201600*s7a*sinf + 2800*ln2^6*sinf^2 - 67200*li5half*sinf^3 + 
    3920*ln2^5*sinf^3 + 16800*li4half*sinf^4 + 2800*ln2^4*sinf^4 + 
    560*ln2^3*sinf^5 - 5600*ln2^6*z2 + 1008000*s6*z2 + 
    201600*li5half*sinf*z2 - 25200*ln2^5*sinf*z2 - 100800*li4half*sinf^2*z2 - 
    42000*ln2^4*sinf^2*z2 - 28000*ln2^3*sinf^3*z2 - 8400*ln2^2*sinf^4*z2 - 
    70560*li4half*z2^2 + 13440*ln2^4*z2^2 + 31920*ln2^3*sinf*z2^2 - 
    30240*ln2*sinf^3*z2^2 - 6720*sinf^4*z2^2 + 32400*ln2^2*z2^3 + 
    105120*ln2*sinf*z2^3 + 7200*sinf^2*z2^3 + 207576*z2^4 + 
    672000*li5half*z3 + 17920*ln2^5*z3 + 134400*li4half*sinf*z3 + 
    89600*ln2^4*sinf*z3 + 112000*ln2^3*sinf^2*z3 + 67200*ln2^2*sinf^3*z3 + 
    16800*ln2*sinf^4*z3 - 224000*ln2^3*z2*z3 - 571200*ln2^2*sinf*z2*z3 - 
    302400*ln2*sinf^2*z2*z3 - 33600*sinf^3*z2*z3 + 131040*ln2*z2^2*z3 - 
    124320*sinf*z2^2*z3 + 235200*ln2^2*z3^2 + 588000*ln2*sinf*z3^2 + 
    100800*sinf^2*z3^2 - 168000*z2*z3^2 + 282240*ln2^3*z5 + 
    800100*ln2^2*sinf*z5 + 403200*ln2*sinf^2*z5 + 132300*sinf^3*z5 - 
    1008000*ln2*z2*z5 - 793800*sinf*z2*z5 + 507150*z3*z5 + 1209600*ln2*z7 + 
    609525*sinf*z7)/403200, H[1, 1, 1, 1, 0, 1, 1, 1, 1] -> 
  (35*sinf^4*z2^2 + 2190*sinf^2*z2^3 + 7701*z2^4 + 280*sinf*z2^2*z3 - 
    1400*sinf^3*z5 + 4200*sinf*z2*z5 - 2800*z3*z5 - 42000*sinf*z7)/2100, 
 H[1, 1, 1, 1, 0, 1, 1, 0, 1] -> (-8400*s8a - 175*sinf^4*z2^2 - 
    3510*sinf^2*z2^3 - 3993*z2^4 - 1400*sinf^3*z2*z3 - 560*sinf*z2^2*z3 + 
    2100*sinf^2*z3^2 - 4900*z2*z3^2 + 6300*sinf^3*z5 - 69300*sinf*z2*z5 + 
    21000*z3*z5 + 142800*sinf*z7)/8400, H[1, 1, 1, 1, 0, 1, 1, -1, 1] -> 
  (-2419200*li4half^2 + 33868800*li8half + 24192000*li7half*ln2 + 
    8064000*li6half*ln2^2 + 1612800*li5half*ln2^3 - 2000*ln2^8 + 
    1008000*ln2^2*s6 - 1901025*s8a + 12600000*s8b - 2016000*s8c + 
    2016000*s8d + 24192000*li7half*sinf + 16128000*li6half*ln2*sinf + 
    4838400*li5half*ln2^2*sinf + 806400*li4half*ln2^3*sinf + 
    10880*ln2^7*sinf - 3340800*ln2*s6*sinf + 3340800*s7a*sinf - 
    691200*s7b*sinf + 8064000*li6half*sinf^2 + 4838400*li5half*ln2*sinf^2 + 
    1209600*li4half*ln2^2*sinf^2 + 21280*ln2^6*sinf^2 + 3024000*s6*sinf^2 + 
    537600*li5half*sinf^3 + 806400*li4half*ln2*sinf^3 + 29120*ln2^5*sinf^3 + 
    67200*li4half*sinf^4 + 2800*ln2^4*sinf^4 - 16128000*li6half*z2 - 
    9676800*li5half*ln2*z2 - 1209600*li4half*ln2^2*z2 + 1120*ln2^6*z2 - 
    7056000*s6*z2 - 6451200*li5half*sinf*z2 - 4838400*li4half*ln2*sinf*z2 - 
    181440*ln2^5*sinf*z2 - 1612800*li4half*sinf^2*z2 - 
    134400*ln2^4*sinf^2*z2 - 156800*ln2^3*sinf^3*z2 + 33600*ln2^2*sinf^4*z2 + 
    1653120*li4half*z2^2 + 52080*ln2^4*z2^2 + 672000*ln2^3*sinf*z2^2 + 
    534240*ln2^2*sinf^2*z2^2 - 315840*ln2*sinf^3*z2^2 - 30240*sinf^4*z2^2 + 
    155520*ln2^2*z2^3 - 2030400*ln2*sinf*z2^3 - 924480*sinf^2*z2^3 - 
    864648*z2^4 + 5510400*li5half*z3 + 1612800*li4half*ln2*z3 + 
    33040*ln2^5*z3 + 4771200*li4half*sinf*z3 + 257600*ln2^4*sinf*z3 + 
    117600*ln2^3*sinf^2*z3 + 117600*ln2^2*sinf^3*z3 + 58800*ln2*sinf^4*z3 - 
    179200*ln2^3*z2*z3 - 1495200*ln2^2*sinf*z2*z3 - 705600*ln2*sinf^2*z2*z3 - 
    117600*sinf^3*z2*z3 + 1986600*ln2*z2^2*z3 - 1807200*sinf*z2^2*z3 + 
    518700*ln2^2*z3^2 + 4646400*ln2*sinf*z3^2 - 825300*sinf^2*z3^2 + 
    1881600*z2*z3^2 + 3906000*ln2^2*sinf*z5 - 96600*sinf^3*z5 + 
    6048000*ln2*z2*z5 + 2446200*sinf*z2*z5 - 12564825*z3*z5 - 
    11593800*sinf*z7)/1612800, H[1, 1, 1, 1, 0, 1, 0, 1, 1] -> 
  (105*sinf^4*z2^2 - 390*sinf^2*z2^3 - 4689*z2^4 - 2800*sinf^3*z2*z3 - 
    10920*sinf*z2^2*z3 + 8400*sinf^2*z3^2 - 14000*z2*z3^2 + 2800*sinf^3*z5 - 
    42000*sinf*z2*z5 + 72800*z3*z5 + 84000*sinf*z7)/8400, 
 H[1, 1, 1, 1, 0, 1, 0, 0, 1] -> (29400*s8a + 2100*sinf^4*z2^2 + 
    7700*sinf^2*z2^3 + 13184*z2^4 + 14000*sinf^3*z2*z3 + 16800*sinf*z2^2*z3 - 
    42000*sinf^2*z3^2 + 112000*z2*z3^2 - 38500*sinf^3*z5 + 
    346500*sinf*z2*z5 - 329000*z3*z5 - 580125*sinf*z7)/42000, 
 H[1, 1, 1, 1, 0, 1, 0, -1, 1] -> (56448000*li4half^2 - 112896000*li8half - 
    112896000*li7half*ln2 - 56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    21672000*ln2^2*s6 + 43344000*ln2*s7a - 20160000*ln2*s7b + 52866450*s8a + 
    412272000*s8b + 20160000*s8c + 43344000*s8d - 112896000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 448000*ln2^7*sinf + 76608000*ln2*s6*sinf - 
    13104000*s7a*sinf - 76608000*s7b*sinf - 56448000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    784000*ln2^6*sinf^2 + 31752000*s6*sinf^2 - 18816000*li5half*sinf^3 - 
    18816000*li4half*ln2*sinf^3 - 627200*ln2^5*sinf^3 - 
    4704000*li4half*sinf^4 - 196000*ln2^4*sinf^4 + 112896000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 784000*ln2^6*z2 - 
    181944000*s6*z2 + 112896000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*
     z2 + 5644800*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    5880000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 + 
    1176000*ln2^2*sinf^4*z2 - 22377600*li4half*z2^2 - 4460400*ln2^4*z2^2 - 
    18816000*ln2^3*sinf*z2^2 - 14112000*ln2^2*sinf^2*z2^2 + 
    2087400*sinf^4*z2^2 + 14263200*ln2^2*z2^3 - 13406400*ln2*sinf*z2^3 + 
    6300000*sinf^2*z2^3 + 15924312*z2^4 - 223104000*li5half*z3 - 
    37632000*li4half*ln2*z3 - 532000*ln2^5*z3 - 136416000*li4half*sinf*z3 - 
    9800000*ln2^4*sinf*z3 - 8232000*ln2^3*sinf^2*z3 - 
    8232000*ln2^2*sinf^3*z3 - 4116000*ln2*sinf^4*z3 + 7280000*ln2^3*z2*z3 + 
    83496000*ln2^2*sinf*z2*z3 + 49392000*ln2*sinf^2*z2*z3 + 
    3528000*sinf^3*z2*z3 - 64839600*ln2*z2^2*z3 + 88116000*sinf*z2^2*z3 + 
    10626000*ln2^2*z3^2 - 97818000*ln2*sinf*z3^2 - 24696000*sinf^2*z3^2 + 
    27216000*z2*z3^2 + 41013000*ln2^3*z5 - 61519500*ln2*sinf^2*z5 + 
    6541500*sinf^3*z5 + 123763500*ln2*z2*z5 + 212467500*sinf*z2*z5 + 
    6460125*z3*z5 - 390686625*ln2*z7 - 555675750*sinf*z7)/28224000, 
 H[1, 1, 1, 1, 0, 1, -1, 1, 1] -> (-362880*li4half^2 - 564480*li8half + 
    201600*li6half*ln2^2 + 107520*li5half*ln2^3 - 483840*li7half*sinf + 
    161280*li5half*ln2^2*sinf + 80640*li4half*ln2^3*sinf + 2112*ln2^7*sinf - 
    69120*ln2*s6*sinf + 69120*s7a*sinf + 472320*s7b*sinf - 
    201600*li6half*sinf^2 + 60480*li4half*ln2^2*sinf^2 + 2240*ln2^6*sinf^2 + 
    53760*li5half*sinf^3 - 448*ln2^5*sinf^3 - 10080*li4half*sinf^4 - 
    420*ln2^4*sinf^4 - 322560*li5half*ln2*z2 - 60480*li4half*ln2^2*z2 - 
    2240*ln2^6*z2 - 322560*li5half*sinf*z2 - 241920*li4half*ln2*sinf*z2 - 
    16128*ln2^5*sinf*z2 - 10920*ln2^4*sinf^2*z2 + 4480*ln2^3*sinf^3*z2 - 
    2520*ln2^2*sinf^4*z2 + 54432*li4half*z2^2 + 13188*ln2^4*z2^2 + 
    33600*ln2^3*sinf*z2^2 - 13104*ln2^2*sinf^2*z2^2 + 2688*ln2*sinf^3*z2^2 + 
    2940*sinf^4*z2^2 - 65448*ln2^2*z2^3 - 8352*ln2*sinf*z2^3 + 
    30744*sinf^2*z2^3 + 45540*z2^4 + 672000*li5half*z3 - 896*ln2^5*z3 + 
    342720*li4half*sinf*z3 + 31920*ln2^4*sinf*z3 + 23520*ln2^3*sinf^2*z3 + 
    11760*ln2^2*sinf^3*z3 - 14560*ln2^3*z2*z3 - 267120*ln2^2*sinf*z2*z3 - 
    70560*ln2*sinf^2*z2*z3 - 11760*sinf^3*z2*z3 + 75936*ln2*z2^2*z3 - 
    394512*sinf*z2^2*z3 + 23520*ln2^2*z3^2 + 86400*ln2*sinf*z3^2 + 
    61740*sinf^2*z3^2 - 85260*z2*z3^2 - 390600*ln2^2*sinf*z5 - 
    24360*sinf^3*z5 - 1326960*sinf*z2*z5 - 48720*z3*z5 + 3810105*sinf*z7)/
   80640, H[1, 1, 1, 1, 0, 1, -1, 0, 1] -> 
  (36288000*li4half^2 + 3024000*li4half*ln2^4 + 63000*ln2^8 - 
    6048000*ln2^2*s6 + 8974350*s8a - 45360000*s8b + 12096000*s8c - 
    12096000*s8d + 21024000*ln2*s6*sinf - 21024000*s7a*sinf - 
    21024000*s7b*sinf - 14112000*s6*sinf^2 + 1344000*li4half*sinf^4 + 
    56000*ln2^4*sinf^4 + 60480000*li6half*z2 + 48384000*li5half*ln2*z2 - 
    319200*ln2^6*z2 + 58464000*s6*z2 + 48384000*li5half*sinf*z2 + 
    36288000*li4half*ln2*sinf*z2 + 1108800*ln2^5*sinf*z2 - 
    6048000*li4half*sinf^2*z2 - 252000*ln2^4*sinf^2*z2 - 
    336000*ln2^2*sinf^4*z2 - 20160000*li4half*z2^2 - 336000*ln2^4*z2^2 - 
    5040000*ln2^3*sinf*z2^2 + 1512000*ln2^2*sinf^2*z2^2 + 
    1512000*ln2*sinf^3*z2^2 - 277200*sinf^4*z2^2 + 4737600*ln2^2*z2^3 + 
    2757600*ln2*sinf*z2^3 - 79200*sinf^2*z2^3 - 5524704*z2^4 - 
    60480000*li5half*z3 + 504000*ln2^5*z3 - 20496000*li4half*sinf*z3 - 
    854000*ln2^4*sinf*z3 - 1512000*ln2^3*z2*z3 + 15708000*ln2^2*sinf*z2*z3 + 
    10584000*ln2*sinf^2*z2*z3 + 2520000*sinf^3*z2*z3 - 23058000*ln2*z2^2*z3 + 
    19324800*sinf*z2^2*z3 - 1701000*ln2^2*z3^2 - 26280000*ln2*sinf*z3^2 - 
    2457000*sinf^2*z3^2 - 1638000*z2*z3^2 - 5397000*sinf^3*z5 - 
    36288000*ln2*z2*z5 + 67743000*sinf*z2*z5 + 33132750*z3*z5 - 
    219612375*sinf*z7)/8064000, H[1, 1, 1, 1, 0, 1, -1, -1, 1] -> 
  (84672000*li4half^2 - 338688000*li8half - 508032000*li7half*ln2 - 
    310464000*li6half*ln2^2 - 112896000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 427000*ln2^8 + 76608000*ln2^2*s6 - 
    54432000*ln2*s7a - 40320000*ln2*s7b - 26203275*s8a - 173880000*s8b - 
    30240000*s8c - 12096000*s8d - 169344000*li7half*sinf - 
    338688000*li6half*ln2*sinf - 225792000*li5half*ln2^2*sinf - 
    84672000*li4half*ln2^3*sinf - 2083200*ln2^7*sinf + 50400000*ln2*s6*sinf - 
    36288000*s7a*sinf - 163296000*s7b*sinf - 28224000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 - 84672000*li4half*ln2^2*sinf^2 - 
    2626400*ln2^6*sinf^2 + 28224000*s6*sinf^2 - 37632000*li5half*sinf^3 - 
    28224000*li4half*ln2*sinf^3 - 862400*ln2^5*sinf^3 - 
    4704000*li4half*sinf^4 - 196000*ln2^4*sinf^4 + 197568000*li6half*z2 + 
    338688000*li5half*ln2*z2 + 169344000*li4half*ln2^2*z2 + 
    6742400*ln2^6*z2 + 10080000*s6*z2 + 225792000*li5half*sinf*z2 + 
    254016000*li4half*ln2*sinf*z2 + 17404800*ln2^5*sinf*z2 + 
    70560000*li4half*sinf^2*z2 + 15288000*ln2^4*sinf^2*z2 + 
    3920000*ln2^3*sinf^3*z2 + 2940000*ln2^2*sinf^4*z2 - 
    39110400*li4half*z2^2 - 25149600*ln2^4*z2^2 - 44688000*ln2^3*sinf*z2^2 - 
    13053600*ln2^2*sinf^2*z2^2 - 470400*ln2*sinf^3*z2^2 + 
    2058000*sinf^4*z2^2 + 13154400*ln2^2*z2^3 - 10836000*ln2*sinf*z2^3 - 
    4132800*sinf^2*z2^3 + 13005576*z2^4 - 276864000*li5half*z3 - 
    225792000*li4half*ln2*z3 - 11628400*ln2^5*z3 - 
    206976000*li4half*sinf*z3 - 27146000*ln2^4*sinf*z3 - 
    28812000*ln2^3*sinf^2*z3 - 20580000*ln2^2*sinf^3*z3 - 
    6174000*ln2*sinf^4*z3 + 99232000*ln2^3*z2*z3 + 
    214032000*ln2^2*sinf*z2*z3 + 98784000*ln2*sinf^2*z2*z3 + 
    12348000*sinf^3*z2*z3 + 47103000*ln2*z2^2*z3 + 150376800*sinf*z2^2*z3 - 
    132289500*ln2^2*z3^2 - 149436000*ln2*sinf*z3^2 - 46084500*sinf^2*z3^2 + 
    128079000*z2*z3^2 - 27342000*ln2^3*z5 + 82026000*ln2^2*sinf*z5 - 
    41013000*ln2*sinf^2*z5 + 12495000*sinf^3*z5 + 290745000*ln2*z2*z5 + 
    487179000*sinf*z2*z5 - 42002625*z3*z5 - 363525750*ln2*z7 - 
    1189085625*sinf*z7)/56448000, H[1, 1, 1, 1, 0, 0, 1, 1, 1] -> 
  (8400*s8a + 35*sinf^4*z2^2 - 210*sinf^2*z2^3 - 8619*z2^4 - 
    9800*sinf*z2^2*z3 + 2100*sinf^2*z3^2 - 2100*z2*z3^2 - 700*sinf^3*z5 + 
    2100*sinf*z2*z5 + 49000*z3*z5 + 25200*sinf*z7)/8400, 
 H[1, 1, 1, 1, 0, 0, 1, 0, 1] -> (-8400*s8a - 1050*sinf^4*z2^2 + 
    2050*sinf^2*z2^3 + 7116*z2^4 - 3500*sinf^3*z2*z3 + 8400*sinf*z2^2*z3 - 
    5250*sinf^2*z3^2 + 19250*z2*z3^2 + 15750*sinf^3*z5 - 36750*sinf*z2*z5 - 
    63000*z3*z5 + 13125*sinf*z7)/21000, H[1, 1, 1, 1, 0, 0, 1, -1, 1] -> 
  (-225792000*li8half - 169344000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 28000*ln2^8 - 34776000*ln2^2*s6 + 
    27216000*ln2*s7a + 20160000*ln2*s7b + 14959350*s8a + 25200000*s8b + 
    8064000*s8c + 13104000*s8d - 169344000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf + 
    112000*ln2^7*sinf - 16128000*ln2*s6*sinf + 9072000*s7a*sinf + 
    2016000*s7b*sinf - 56448000*li6half*sinf^2 - 28224000*li5half*ln2*
     sinf^2 + 156800*ln2^6*sinf^2 - 17640000*s6*sinf^2 - 
    9408000*li5half*sinf^3 + 78400*ln2^5*sinf^3 + 112896000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 470400*ln2^6*z2 - 15624000*s6*z2 + 
    56448000*li5half*sinf*z2 - 1176000*ln2^5*sinf*z2 - 
    1176000*ln2^4*sinf^2*z2 - 784000*ln2^3*sinf^3*z2 + 2620800*li4half*z2^2 + 
    2461200*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 - 7526400*ln2*sinf^3*z2^2 - 
    558600*sinf^4*z2^2 + 6904800*ln2^2*z2^3 + 8114400*ln2*sinf*z2^3 + 
    7408800*sinf^2*z2^3 - 2418624*z2^4 - 94416000*li5half*z3 + 
    1198400*ln2^5*z3 + 2058000*ln2^4*sinf*z3 + 4116000*ln2^3*sinf^2*z3 + 
    4116000*ln2^2*sinf^3*z3 + 2058000*ln2*sinf^4*z3 - 16100000*ln2^3*z2*z3 - 
    24696000*ln2^2*sinf*z2*z3 - 3528000*ln2*sinf^2*z2*z3 - 
    4116000*sinf^3*z2*z3 - 38766000*ln2*z2^2*z3 + 67200*sinf*z2^2*z3 + 
    30093000*ln2^2*z3^2 + 5754000*ln2*sinf*z3^2 + 10363500*sinf^2*z3^2 - 
    18028500*z2*z3^2 + 13671000*ln2^3*z5 + 27342000*ln2^2*sinf*z5 + 
    20506500*ln2*sinf^2*z5 + 22858500*sinf^3*z5 - 81868500*ln2*z2*z5 - 
    94783500*sinf*z2*z5 + 149470125*z3*z5 + 181762875*ln2*z7 + 
    232540875*sinf*z7)/28224000, H[1, 1, 1, 1, 0, 0, 0, 1, 1] -> 
  (-12600*s8a + 700*sinf^4*z2^2 + 4700*sinf^2*z2^3 + 25504*z2^4 + 
    7000*sinf^3*z2*z3 + 14000*sinf*z2^2*z3 - 10500*sinf^2*z3^2 + 
    45500*z2*z3^2 - 21000*sinf^3*z5 + 147000*sinf*z2*z5 - 231000*z3*z5 - 
    286125*sinf*z7)/42000, H[1, 1, 1, 1, 0, 0, 0, 0, 1] -> 
  (-360*sinf^2*z2^3 - 1137*z2^4 - 2100*sinf*z2^2*z3 + 1050*sinf^2*z3^2 - 
    5250*z2*z3^2 + 700*sinf^3*z5 - 10500*sinf*z2*z5 + 18200*z3*z5 + 
    21000*sinf*z7)/4200, H[1, 1, 1, 1, 0, 0, 0, -1, 1] -> 
  (504000*ln2^2*s6 - 1008000*ln2*s7a - 638400*s8a - 6384000*s8b - 
    1008000*s8d - 1008000*s7a*sinf - 504000*s6*sinf^2 + 3528000*s6*z2 - 
    201600*li4half*z2^2 - 8400*ln2^4*z2^2 + 9800*sinf^4*z2^2 - 
    151200*ln2^2*z2^3 - 104000*sinf^2*z2^3 + 22496*z2^4 + 
    2016000*li5half*z3 - 16800*ln2^5*z3 + 168000*ln2^3*z2*z3 + 
    56000*sinf^3*z2*z3 + 756000*ln2*z2^2*z3 - 156800*sinf*z2^2*z3 - 
    630000*ln2^2*z3^2 + 210000*sinf^2*z3^2 - 308000*z2*z3^2 - 
    651000*ln2^3*z5 + 976500*ln2*sinf^2*z5 - 206500*sinf^3*z5 - 
    1984500*ln2*z2*z5 + 283500*sinf*z2*z5 - 90125*z3*z5 + 3651375*ln2*z7 - 
    771750*sinf*z7)/672000, H[1, 1, 1, 1, 0, 0, -1, 1, 1] -> 
  (12096000*li4half^2 + 8064000*li8half - 4032000*li6half*ln2^2 - 
    2688000*li5half*ln2^3 - 4000*ln2^8 + 3024000*ln2^2*s6 - 3641400*s8a - 
    2016000*s8b - 4032000*s8c + 2016000*s8d + 8064000*li7half*sinf - 
    4032000*li5half*ln2^2*sinf - 2688000*li4half*ln2^3*sinf - 
    80000*ln2^7*sinf + 7488000*ln2*s6*sinf - 7488000*s7a*sinf - 
    5472000*s7b*sinf + 4032000*li6half*sinf^2 - 2016000*li4half*ln2^2*
     sinf^2 - 78400*ln2^6*sinf^2 + 1008000*s6*sinf^2 + 
    1344000*li5half*sinf^3 - 11200*ln2^5*sinf^3 + 336000*li4half*sinf^4 + 
    14000*ln2^4*sinf^4 + 8064000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 
    123200*ln2^6*z2 - 5040000*s6*z2 + 8064000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 + 420000*ln2^4*sinf^2*z2 + 112000*ln2^3*sinf^3*z2 - 
    84000*ln2^2*sinf^4*z2 - 1411200*li4half*z2^2 - 646800*ln2^4*z2^2 - 
    2016000*ln2^3*sinf*z2^2 + 1075200*ln2*sinf^3*z2^2 - 33600*sinf^4*z2^2 + 
    50400*ln2^2*z2^3 - 2066400*ln2*sinf*z2^3 - 7200*sinf^2*z2^3 - 
    166824*z2^4 - 15456000*li5half*z3 - 106400*ln2^5*z3 - 
    11424000*li4half*sinf*z3 - 1358000*ln2^4*sinf*z3 - 
    1176000*ln2^3*sinf^2*z3 - 588000*ln2^2*sinf^3*z3 + 2240000*ln2^3*z2*z3 + 
    9912000*ln2^2*sinf*z2*z3 + 504000*ln2*sinf^2*z2*z3 + 
    588000*sinf^3*z2*z3 + 1772400*ln2*z2^2*z3 + 9141600*sinf*z2^2*z3 - 
    1869000*ln2^2*z3^2 - 9360000*ln2*sinf*z3^2 - 1827000*sinf^2*z3^2 + 
    7350000*z2*z3^2 - 1302000*ln2^3*z5 - 3906000*ln2^2*sinf*z5 - 
    3570000*sinf^3*z5 + 9954000*ln2*z2*z5 + 28674000*sinf*z2*z5 - 
    13534500*z3*z5 - 74734875*sinf*z7)/4032000, 
 H[1, 1, 1, 1, 0, 0, -1, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 25725*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf - 
    2016000*li6half*z2 - 2016000*li5half*ln2*z2 + 14000*ln2^6*z2 + 
    504000*s6*z2 - 2016000*li5half*sinf*z2 - 2016000*li4half*ln2*sinf*z2 - 
    67200*ln2^5*sinf*z2 - 1008000*li4half*sinf^2*z2 - 42000*ln2^4*sinf^2*z2 + 
    1209600*li4half*z2^2 + 50400*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 + 
    252000*ln2^2*sinf^2*z2^2 - 29400*sinf^4*z2^2 - 302400*ln2^2*z2^3 + 
    352800*ln2*sinf*z2^3 + 308800*sinf^2*z2^3 + 97404*z2^4 + 
    3528000*li5half*z3 - 29400*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    147000*ln2^4*sinf*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    882000*ln2*sinf^2*z2*z3 - 182000*sinf^3*z2*z3 + 1058400*ln2*z2^2*z3 - 
    2184000*sinf*z2^2*z3 + 2520000*ln2*sinf*z3^2 + 351750*sinf^2*z3^2 - 
    1356250*z2*z3^2 + 581000*sinf^3*z5 - 976500*ln2*z2*z5 - 
    7675500*sinf*z2*z5 + 768250*z3*z5 + 18978750*sinf*z7)/672000, 
 H[1, 1, 1, 1, 0, 0, -1, -1, 1] -> (-4032000*li4half^2 + 20160000*li8half + 
    20160000*li7half*ln2 + 10080000*li6half*ln2^2 + 3360000*li5half*ln2^3 + 
    504000*li4half*ln2^4 + 10500*ln2^8 - 504000*ln2^2*s6 + 1008000*ln2*s7a + 
    883575*s8a + 8064000*s8b + 1008000*s8d + 16128000*li7half*sinf + 
    16128000*li6half*ln2*sinf + 8064000*li5half*ln2^2*sinf + 
    2688000*li4half*ln2^3*sinf + 64000*ln2^7*sinf - 2016000*ln2*s6*sinf + 
    4032000*s7a*sinf + 2016000*s7b*sinf + 6048000*li6half*sinf^2 + 
    6048000*li5half*ln2*sinf^2 + 3024000*li4half*ln2^2*sinf^2 + 
    84000*ln2^6*sinf^2 + 1512000*s6*sinf^2 + 1344000*li5half*sinf^3 + 
    1344000*li4half*ln2*sinf^3 + 44800*ln2^5*sinf^3 + 168000*li4half*sinf^4 + 
    7000*ln2^4*sinf^4 - 14112000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    5040000*li4half*ln2^2*z2 - 182000*ln2^6*z2 - 5040000*s6*z2 - 
    10080000*li5half*sinf*z2 - 10080000*li4half*ln2*sinf*z2 - 
    604800*ln2^5*sinf*z2 - 3024000*li4half*sinf^2*z2 - 
    504000*ln2^4*sinf^2*z2 - 224000*ln2^3*sinf^3*z2 - 42000*ln2^2*sinf^4*z2 + 
    2116800*li4half*z2^2 + 718200*ln2^4*z2^2 + 1680000*ln2^3*sinf*z2^2 + 
    756000*ln2^2*sinf^2*z2^2 - 63000*sinf^4*z2^2 - 327600*ln2^2*z2^3 + 
    352800*ln2*sinf*z2^3 - 169200*sinf^2*z2^3 - 510228*z2^4 + 
    11760000*li5half*z3 + 6720000*li4half*ln2*z3 + 329000*ln2^5*z3 + 
    8904000*li4half*sinf*z3 + 959000*ln2^4*sinf*z3 + 882000*ln2^3*sinf^2*z3 + 
    588000*ln2^2*sinf^3*z3 + 147000*ln2*sinf^4*z3 - 2758000*ln2^3*z2*z3 - 
    6636000*ln2^2*sinf*z2*z3 - 2646000*ln2*sinf^2*z2*z3 - 
    294000*sinf^3*z2*z3 + 919800*ln2*z2^2*z3 - 4687200*sinf*z2^2*z3 + 
    3570000*ln2^2*z3^2 + 7224000*ln2*sinf*z3^2 + 378000*sinf^2*z3^2 - 
    1722000*z2*z3^2 + 651000*ln2^3*z5 - 2929500*ln2*sinf^2*z5 - 
    819000*sinf^3*z5 + 4914000*ln2*z2*z5 - 472500*sinf*z2*z5 - 
    5567625*z3*z5 - 6985125*ln2*z7 + 8142750*sinf*z7)/2016000, 
 H[1, 1, 1, 1, 0, -1, 1, 1, 1] -> (-2419200*li4half^2 + 1612800*li8half + 
    268800*li5half*ln2^3 + 2000*ln2^8 - 1008000*ln2^2*s6 + 1901025*s8a - 
    12600000*s8b + 2016000*s8c - 2016000*s8d + 1612800*li7half*sinf + 
    268800*li4half*ln2^3*sinf + 10880*ln2^7*sinf - 3340800*ln2*s6*sinf + 
    3340800*s7a*sinf - 691200*s7b*sinf + 806400*li6half*sinf^2 + 
    1120*ln2^6*sinf^2 - 3024000*s6*sinf^2 - 806400*li5half*sinf^3 + 
    6720*ln2^5*sinf^3 + 201600*li4half*sinf^4 + 8400*ln2^4*sinf^4 - 
    806400*li6half*z2 - 806400*li5half*ln2*z2 - 23520*ln2^6*z2 + 
    7056000*s6*z2 + 2419200*li5half*sinf*z2 - 806400*li4half*ln2*sinf*z2 - 
    114240*ln2^5*sinf*z2 - 1209600*li4half*sinf^2*z2 - 
    67200*ln2^4*sinf^2*z2 - 67200*ln2^3*sinf^3*z2 - 282240*li4half*z2^2 + 
    89040*ln2^4*z2^2 + 403200*ln2^3*sinf*z2^2 + 433440*ln2^2*sinf^2*z2^2 + 
    262080*ln2*sinf^3*z2^2 - 36960*sinf^4*z2^2 + 538560*ln2^2*z2^3 + 
    3608640*ln2*sinf*z2^3 + 360000*sinf^2*z2^3 - 51192*z2^4 + 
    3830400*li5half*z3 + 38640*ln2^5*z3 + 3024000*li4half*sinf*z3 + 
    302400*ln2^4*sinf*z3 + 117600*ln2^3*sinf^2*z3 - 504000*ln2^3*z2*z3 - 
    1411200*ln2^2*sinf*z2*z3 - 352800*ln2*sinf^2*z2*z3 - 
    1353240*ln2*z2^2*z3 - 2213760*sinf*z2^2*z3 - 283500*ln2^2*z3^2 + 
    4176000*ln2*sinf*z3^2 + 1442700*sinf^2*z3^2 - 2734200*z2*z3^2 + 
    3906000*ln2^2*sinf*z5 - 96600*sinf^3*z5 - 6048000*ln2*z2*z5 + 
    2446200*sinf*z2*z5 + 12178425*z3*z5 - 11593800*sinf*z7)/1612800, 
 H[1, 1, 1, 1, 0, -1, 1, 0, 1] -> 
  (12096000*li4half^2 + 1008000*li4half*ln2^4 + 21000*ln2^8 + 
    6048000*ln2^2*s6 - 11321100*s8a + 45360000*s8b - 12096000*s8c + 
    12096000*s8d + 15264000*ln2*s6*sinf - 15264000*s7a*sinf - 
    15264000*s7b*sinf + 14112000*s6*sinf^2 - 1344000*li4half*sinf^4 - 
    56000*ln2^4*sinf^4 - 8064000*li6half*z2 + 4032000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 39200*ln2^6*z2 - 58464000*s6*z2 - 
    8064000*li5half*sinf*z2 + 4032000*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 + 20160000*li4half*sinf^2*z2 + 
    840000*ln2^4*sinf^2*z2 + 336000*ln2^2*sinf^4*z2 - 3830400*li4half*z2^2 - 
    915600*ln2^4*z2^2 - 1680000*ln2^3*sinf*z2^2 - 5040000*ln2^2*sinf^2*z2^2 - 
    1512000*ln2*sinf^3*z2^2 + 109200*sinf^4*z2^2 + 1260000*ln2^2*z2^3 - 
    9108000*ln2*sinf*z2^3 - 5119200*sinf^2*z2^3 + 312264*z2^4 - 
    24192000*li5half*z3 + 201600*ln2^5*z3 - 43008000*li4half*sinf*z3 - 
    1792000*ln2^4*sinf*z3 + 2100000*ln2^3*z2*z3 + 17808000*ln2^2*sinf*z2*z3 + 
    1764000*ln2*sinf^2*z2*z3 - 2184000*sinf^3*z2*z3 + 2066400*ln2*z2^2*z3 + 
    23960400*sinf*z2^2*z3 + 1701000*ln2^2*z3^2 - 19080000*ln2*sinf*z3^2 - 
    3780000*sinf^2*z3^2 + 20895000*z2*z3^2 + 7623000*sinf^3*z5 + 
    36288000*ln2*z2*z5 + 11763000*sinf*z2*z5 - 20002500*z3*z5 - 
    43696125*sinf*z7)/8064000, H[1, 1, 1, 1, 0, -1, 1, -1, 1] -> 
  (-14112000*li4half^2 - 508032000*li8half - 310464000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 14112000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 
    73500*ln2^8 + 21672000*ln2^2*s6 - 43344000*ln2*s7a + 20160000*ln2*s7b - 
    55677825*s8a - 412272000*s8b - 20160000*s8c - 43344000*s8d - 
    338688000*li7half*sinf - 169344000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf + 67200*ln2^7*sinf - 2016000*ln2*s6*sinf - 
    61488000*s7a*sinf + 143136000*s7b*sinf - 98784000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 + 7056000*li4half*ln2^2*sinf^2 + 
    392000*ln2^6*sinf^2 - 31752000*s6*sinf^2 + 23520000*li5half*sinf^3 + 
    4704000*li4half*ln2*sinf^3 + 183456000*li6half*z2 + 
    70560000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 490000*ln2^6*z2 + 
    181944000*s6*z2 - 42336000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*
     z2 - 470400*ln2^5*sinf*z2 - 7056000*li4half*sinf^2*z2 - 
    2352000*ln2^4*sinf^2*z2 + 784000*ln2^3*sinf^3*z2 - 
    1764000*ln2^2*sinf^4*z2 + 4737600*li4half*z2^2 - 390600*ln2^4*z2^2 - 
    2822400*ln2^2*sinf^2*z2^2 + 940800*ln2*sinf^3*z2^2 - 411600*sinf^4*z2^2 - 
    27997200*ln2^2*z2^3 - 6804000*ln2*sinf*z2^3 + 13330800*sinf^2*z2^3 + 
    18101988*z2^4 + 77280000*li5half*z3 - 47040000*li4half*ln2*z3 - 
    3221400*ln2^5*z3 + 17640000*li4half*sinf*z3 + 735000*ln2^4*sinf*z3 + 
    4116000*ln2^3*sinf^2*z3 + 6174000*ln2^2*sinf^3*z3 + 
    3087000*ln2*sinf^4*z3 + 20258000*ln2^3*z2*z3 - 
    37044000*ln2^2*sinf*z2*z3 - 30870000*ln2*sinf^2*z2*z3 - 
    6174000*sinf^3*z2*z3 + 59312400*ln2*z2^2*z3 - 54763800*sinf*z2^2*z3 - 
    39438000*ln2^2*z3^2 - 53046000*ln2*sinf*z3^2 + 26570250*sinf^2*z3^2 - 
    9686250*z2*z3^2 - 41013000*ln2^3*z5 - 136710000*ln2^2*sinf*z5 + 
    61519500*ln2*sinf^2*z5 - 7423500*sinf^3*z5 - 123763500*ln2*z2*z5 - 
    466105500*sinf*z2*z5 + 48279000*z3*z5 + 390686625*ln2*z7 + 
    1203016500*sinf*z7)/28224000, H[1, 1, 1, 1, 0, -1, 0, 1, 1] -> 
  (241920*li4half^2 + 20160*li4half*ln2^4 + 420*ln2^8 + 16065*s8a + 
    241920*ln2*s6*sinf - 241920*s7a*sinf - 241920*s7b*sinf + 
    161280*li6half*z2 + 161280*li5half*ln2*z2 - 40320*li4half*ln2^2*z2 - 
    2800*ln2^6*z2 + 161280*li5half*sinf*z2 + 161280*li4half*ln2*sinf*z2 + 
    5376*ln2^5*sinf*z2 + 80640*li4half*sinf^2*z2 + 3360*ln2^4*sinf^2*z2 - 
    4032*li4half*z2^2 + 4872*ln2^4*z2^2 - 26880*ln2^3*sinf*z2^2 - 
    20160*ln2^2*sinf^2*z2^2 + 504*sinf^4*z2^2 + 1008*ln2^2*z2^3 - 
    42336*ln2*sinf*z2^3 - 37584*sinf^2*z2^3 - 71172*z2^4 - 
    423360*li5half*z3 + 3528*ln2^5*z3 - 423360*li4half*sinf*z3 - 
    17640*ln2^4*sinf*z3 - 11760*ln2^3*z2*z3 + 176400*ln2^2*sinf*z2*z3 + 
    70560*ln2*sinf^2*z2*z3 - 16800*sinf^3*z2*z3 - 3528*ln2*z2^2*z3 + 
    218232*sinf*z2^2*z3 - 302400*ln2*sinf*z3^2 + 28350*sinf^2*z3^2 - 
    210*z2*z3^2 + 24360*sinf^3*z5 + 501480*sinf*z2*z5 + 401205*z3*z5 - 
    1380330*sinf*z7)/161280, H[1, 1, 1, 1, 0, -1, 0, 0, 1] -> 
  (-80640*li4half^2 - 6720*li4half*ln2^4 - 140*ln2^8 + 16380*s8a - 
    80640*ln2*s6*sinf + 80640*s7a*sinf + 80640*s7b*sinf + 
    40320*li4half*ln2^2*z2 + 1680*ln2^6*z2 + 8064*li4half*z2^2 - 
    4704*ln2^4*z2^2 + 3528*sinf^4*z2^2 - 2016*ln2^2*z2^3 + 
    14112*ln2*sinf*z2^3 - 1824*sinf^2*z2^3 + 1632*z2^4 + 141120*li5half*z3 - 
    1176*ln2^5*z3 + 141120*li4half*sinf*z3 + 5880*ln2^4*sinf*z3 + 
    11760*ln2^3*z2*z3 - 35280*ln2^2*sinf*z2*z3 + 20160*sinf^3*z2*z3 + 
    7056*ln2*z2^2*z3 - 93744*sinf*z2^2*z3 + 100800*ln2*sinf*z3^2 - 
    29610*sinf^2*z3^2 + 37800*z2*z3^2 - 56280*sinf^3*z5 + 35280*sinf*z2*z5 - 
    202020*z3*z5 + 196245*sinf*z7)/80640, H[1, 1, 1, 1, 0, -1, 0, -1, 1] -> 
  (18144000*li4half^2 - 16128000*li8half - 16128000*li7half*ln2 - 
    8064000*li6half*ln2^2 - 2688000*li5half*ln2^3 + 840000*li4half*ln2^4 + 
    17500*ln2^8 - 2016000*ln2^2*s6 + 4032000*ln2*s7a + 8064000*ln2*s7b - 
    6180300*s8a - 24192000*s8b - 8064000*s8c + 4032000*s8d - 
    16128000*li7half*sinf - 16128000*li6half*ln2*sinf - 
    8064000*li5half*ln2^2*sinf - 2688000*li4half*ln2^3*sinf - 
    64000*ln2^7*sinf + 10080000*ln2*s6*sinf - 14112000*s7a*sinf - 
    10080000*s7b*sinf - 8064000*li6half*sinf^2 - 8064000*li5half*ln2*sinf^2 - 
    4032000*li4half*ln2^2*sinf^2 - 112000*ln2^6*sinf^2 - 2016000*s6*sinf^2 - 
    2688000*li5half*sinf^3 - 2688000*li4half*ln2*sinf^3 - 
    89600*ln2^5*sinf^3 - 672000*li4half*sinf^4 - 28000*ln2^4*sinf^4 + 
    18144000*li6half*z2 + 18144000*li5half*ln2*z2 - 70000*ln2^6*z2 - 
    2016000*s6*z2 + 18144000*li5half*sinf*z2 + 18144000*li4half*ln2*sinf*z2 + 
    873600*ln2^5*sinf*z2 + 9072000*li4half*sinf^2*z2 + 
    882000*ln2^4*sinf^2*z2 + 448000*ln2^3*sinf^3*z2 + 
    168000*ln2^2*sinf^4*z2 - 11188800*li4half*z2^2 - 466200*ln2^4*z2^2 - 
    3024000*ln2^3*sinf*z2^2 - 2268000*ln2^2*sinf^2*z2^2 + 
    273000*sinf^4*z2^2 + 3603600*ln2^2*z2^3 - 1764000*ln2*sinf*z2^3 - 
    1137600*sinf^2*z2^3 - 2595348*z2^4 - 31080000*li5half*z3 + 
    8736000*li4half*ln2*z3 + 505400*ln2^5*z3 - 23016000*li4half*sinf*z3 - 
    1547000*ln2^4*sinf*z3 - 1176000*ln2^3*sinf^2*z3 - 
    1176000*ln2^2*sinf^3*z3 - 588000*ln2*sinf^4*z3 - 2128000*ln2^3*z2*z3 + 
    13692000*ln2^2*sinf*z2*z3 + 7938000*ln2*sinf^2*z2*z3 + 
    966000*sinf^3*z2*z3 - 11453400*ln2*z2^2*z3 + 13461000*sinf*z2^2*z3 + 
    6342000*ln2^2*z3^2 - 17304000*ln2*sinf*z3^2 - 2157750*sinf^2*z3^2 + 
    8515500*z2*z3^2 - 2604000*ln2^3*z5 + 3906000*ln2*sinf^2*z5 + 
    693000*sinf^3*z5 - 7434000*ln2*z2*z5 + 21798000*sinf*z2*z5 + 
    22538250*z3*z5 + 68197500*ln2*z7 - 73072125*sinf*z7)/4032000, 
 H[1, 1, 1, 1, 0, -1, -1, 1, 1] -> (12096000*li4half^2 + 32256000*li8half - 
    12096000*li6half*ln2^2 - 6720000*li5half*ln2^3 - 1008000*li4half*ln2^4 - 
    23000*ln2^8 - 7056000*ln2^2*s6 + 9098775*s8a + 21672000*s8b + 
    10080000*s8c - 6048000*s8d + 24192000*li7half*sinf - 
    8064000*li5half*ln2^2*sinf - 4032000*li4half*ln2^3*sinf - 
    105600*ln2^7*sinf - 6624000*ln2*s6*sinf + 6624000*s7a*sinf - 
    17568000*s7b*sinf + 8064000*li6half*sinf^2 - 2016000*li4half*ln2^2*
     sinf^2 - 72800*ln2^6*sinf^2 - 1008000*s6*sinf^2 - 
    4032000*li5half*sinf^3 + 33600*ln2^5*sinf^3 + 672000*li4half*sinf^4 + 
    28000*ln2^4*sinf^4 + 4032000*li6half*z2 + 16128000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 212800*ln2^6*z2 + 13104000*s6*z2 + 
    20160000*li5half*sinf*z2 + 8064000*li4half*ln2*sinf*z2 + 
    604800*ln2^5*sinf*z2 - 2016000*li4half*sinf^2*z2 + 
    252000*ln2^4*sinf^2*z2 - 336000*ln2^3*sinf^3*z2 + 84000*ln2^2*sinf^4*z2 - 
    3830400*li4half*z2^2 - 663600*ln2^4*z2^2 - 336000*ln2^3*sinf*z2^2 + 
    1159200*ln2^2*sinf^2*z2^2 - 201600*ln2*sinf^3*z2^2 - 151200*sinf^4*z2^2 + 
    4104000*ln2^2*z2^3 + 3492000*ln2*sinf*z2^3 - 648000*sinf^2*z2^3 + 
    51984*z2^4 - 23184000*li5half*z3 - 159600*ln2^5*z3 - 
    7728000*li4half*sinf*z3 - 1204000*ln2^4*sinf*z3 - 
    588000*ln2^3*sinf^2*z3 + 420000*ln2^3*z2*z3 + 5712000*ln2^2*sinf*z2*z3 - 
    12083400*ln2*z2^2*z3 + 7873200*sinf*z2^2*z3 - 2425500*ln2^2*z3^2 + 
    8280000*ln2*sinf*z3^2 + 598500*sinf^2*z3^2 - 7056000*z2*z3^2 + 
    2604000*ln2^3*z5 + 27342000*ln2^2*sinf*z5 + 2436000*sinf^3*z5 - 
    38052000*ln2*z2*z5 + 41148000*sinf*z2*z5 + 14361375*z3*z5 - 
    129875625*sinf*z7)/8064000, H[1, 1, 1, 1, 0, -1, -1, 0, 1] -> 
  (-5040000*li4half^2 - 420000*li4half*ln2^4 - 8750*ln2^8 - 355950*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf - 
    7056000*li6half*z2 - 7056000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 + 
    7000*ln2^6*z2 - 1512000*s6*z2 - 4032000*li5half*sinf*z2 - 
    4032000*li4half*ln2*sinf*z2 - 134400*ln2^5*sinf*z2 - 
    504000*li4half*sinf^2*z2 - 21000*ln2^4*sinf^2*z2 + 3024000*li4half*z2^2 + 
    252000*ln2^4*z2^2 + 672000*ln2^3*sinf*z2^2 + 126000*ln2^2*sinf^2*z2^2 - 
    10500*sinf^4*z2^2 - 756000*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 + 
    127800*sinf^2*z2^3 + 733428*z2^4 + 8820000*li5half*z3 - 73500*ln2^5*z3 + 
    3528000*li4half*sinf*z3 + 147000*ln2^4*sinf*z3 - 294000*ln2^3*z2*z3 - 
    2646000*ln2^2*sinf*z2*z3 - 441000*ln2*sinf^2*z2*z3 - 42000*sinf^3*z2*z3 + 
    2646000*ln2*z2^2*z3 - 2049600*sinf*z2^2*z3 + 2520000*ln2*sinf*z3^2 + 
    118125*sinf^2*z3^2 - 186375*z2*z3^2 + 210000*sinf^3*z5 + 
    2929500*ln2*z2*z5 - 4000500*sinf*z2*z5 - 6108375*z3*z5 + 
    16332750*sinf*z7)/2016000, H[1, 1, 1, 1, 0, -1, -1, -1, 1] -> 
  (80640*li4half^2 + 403200*li8half + 403200*li7half*ln2 + 
    201600*li6half*ln2^2 + 67200*li5half*ln2^3 + 23520*li4half*ln2^4 + 
    490*ln2^8 - 40320*ln2^2*s6 + 80640*ln2*s7a + 42210*s8a + 443520*s8b + 
    80640*s8d + 161280*li7half*sinf + 161280*li6half*ln2*sinf + 
    80640*li5half*ln2^2*sinf + 26880*li4half*ln2^3*sinf + 640*ln2^7*sinf + 
    80640*ln2*s6*sinf - 40320*s7a*sinf - 80640*s7b*sinf - 
    13440*li5half*sinf^3 - 13440*li4half*ln2*sinf^3 - 448*ln2^5*sinf^3 - 
    3360*li4half*sinf^4 - 140*ln2^4*sinf^4 - 80640*li6half*z2 - 
    80640*li5half*ln2*z2 - 80640*li4half*ln2^2*z2 - 4200*ln2^6*z2 - 
    221760*s6*z2 + 40320*li5half*sinf*z2 + 40320*li4half*ln2*sinf*z2 - 
    1344*ln2^5*sinf*z2 + 40320*li4half*sinf^2*z2 + 1680*ln2^4*sinf^2*z2 + 
    2240*ln2^3*sinf^3*z2 + 840*ln2^2*sinf^4*z2 - 42336*li4half*z2^2 + 
    8316*ln2^4*z2^2 - 6720*ln2^3*sinf*z2^2 - 10080*ln2^2*sinf^2*z2^2 + 
    1344*sinf^4*z2^2 + 26712*ln2^2*z2^3 - 14112*ln2*sinf*z2^3 - 
    10512*sinf^2*z2^3 - 31104*z2^4 - 168000*li5half*z3 + 
    134400*li4half*ln2*z3 + 9940*ln2^5*z3 - 87360*li4half*sinf*z3 + 
    2240*ln2^4*sinf*z3 - 5880*ln2^2*sinf^3*z3 - 2940*ln2*sinf^4*z3 - 
    59360*ln2^3*z2*z3 + 39480*ln2^2*sinf*z2*z3 + 35280*ln2*sinf^2*z2*z3 + 
    5880*sinf^3*z2*z3 - 111636*ln2*z2^2*z3 + 63672*sinf*z2^2*z3 + 
    109200*ln2^2*z3^2 - 53760*ln2*sinf*z3^2 - 15435*sinf^2*z3^2 - 
    3045*z2*z3^2 + 52080*ln2^3*z5 + 1680*sinf^3*z5 + 41580*ln2*z2*z5 + 
    233100*sinf*z2*z5 + 96285*z3*z5 - 158760*ln2*z7 - 709380*sinf*z7)/80640, 
 H[1, 1, 1, 1, -1, 1, 1, 1, 1] -> (4200*li8half - 2400*li7half*sinf + 
    600*li6half*sinf^2 - 80*li5half*sinf^3 + 5*li4half*sinf^4 - 
    600*li6half*z2 + 240*li5half*sinf*z2 - 30*li4half*sinf^2*z2 + 
    3*li4half*z2^2 - 160*li5half*z3 + 40*li4half*sinf*z3)/120, 
 H[1, 1, 1, 1, -1, 1, 1, 0, 1] -> (-1749888000*li8half - 43400*ln2^8 + 
    47376000*ln2^2*s6 - 103056975*s8a - 36792000*s8b - 94752000*s8c + 
    94752000*s8d + 1072512000*li7half*sinf - 212800*ln2^7*sinf + 
    40320000*ln2*s6*sinf - 40320000*s7a*sinf - 54432000*s7b*sinf - 
    282240000*li6half*sinf^2 - 392000*ln2^6*sinf^2 + 
    37632000*li5half*sinf^3 - 313600*ln2^5*sinf^3 - 2352000*li4half*sinf^4 - 
    98000*ln2^4*sinf^4 + 846720000*li6half*z2 + 1019200*ln2^6*z2 - 
    189504000*s6*z2 - 451584000*li5half*sinf*z2 + 3057600*ln2^5*sinf*z2 + 
    98784000*li4half*sinf^2*z2 + 2940000*ln2^4*sinf^2*z2 - 
    784000*ln2^3*sinf^3*z2 + 604800*li4half*z2^2 - 2209200*ln2^4*z2^2 - 
    3998400*ln2^3*sinf*z2^2 - 3528000*ln2^2*sinf^2*z2^2 + 
    3057600*ln2*sinf^3*z2^2 - 117600*sinf^4*z2^2 - 12549600*ln2^2*z2^3 - 
    15472800*ln2*sinf*z2^3 + 705600*sinf^2*z2^3 - 27488376*z2^4 + 
    224448000*li5half*z3 - 1811600*ln2^5*z3 - 188160000*li4half*sinf*z3 - 
    7546000*ln2^4*sinf*z3 + 588000*ln2^3*sinf^2*z3 + 588000*ln2^2*sinf^3*z3 + 
    294000*ln2*sinf^4*z3 + 9688000*ln2^3*z2*z3 + 38808000*ln2^2*sinf*z2*z3 - 
    3528000*ln2*sinf^2*z2*z3 - 8820000*sinf^3*z2*z3 + 112875000*ln2*z2^2*z3 + 
    82269600*sinf*z2^2*z3 + 14500500*ln2^2*z3^2 - 48048000*ln2*sinf*z3^2 + 
    13891500*sinf^2*z3^2 + 29169000*z2*z3^2 + 13671000*ln2^2*sinf*z5 + 
    4263000*sinf^3*z5 + 284256000*ln2*z2*z5 + 147546000*sinf*z2*z5 - 
    51804375*z3*z5 - 426974625*sinf*z7)/56448000, 
 H[1, 1, 1, 1, -1, 1, 1, -1, 1] -> (-1919232000*li8half + 1400*ln2^8 + 
    53424000*ln2^2*s6 - 232118775*s8a - 1545768000*s8b - 106848000*s8c - 
    104832000*s8d + 1072512000*li7half*sinf + 11200*ln2^7*sinf - 
    104832000*ln2*s6*sinf + 104832000*s7a*sinf - 106848000*s7b*sinf - 
    254016000*li6half*sinf^2 + 39200*ln2^6*sinf^2 - 105840000*s6*sinf^2 + 
    28224000*li5half*sinf^3 + 78400*ln2^5*sinf^3 + 98000*ln2^4*sinf^4 + 
    254016000*li6half*z2 - 78400*ln2^6*z2 + 421344000*s6*z2 - 
    84672000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 - 
    1176000*ln2^4*sinf^2*z2 - 784000*ln2^3*sinf^3*z2 - 
    588000*ln2^2*sinf^4*z2 - 20966400*li4half*z2^2 - 520800*ln2^4*z2^2 + 
    1176000*ln2^3*sinf*z2^2 + 1764000*ln2^2*sinf^2*z2^2 - 
    1176000*ln2*sinf^3*z2^2 - 294000*sinf^4*z2^2 - 11239200*ln2^2*z2^3 + 
    28375200*ln2*sinf*z2^3 + 23536800*sinf^2*z2^3 + 100077696*z2^4 + 
    266112000*li5half*z3 - 1178800*ln2^5*z3 + 2842000*ln2^4*sinf*z3 + 
    4116000*ln2^3*sinf^2*z3 + 4116000*ln2^2*sinf^3*z3 + 
    2058000*ln2*sinf^4*z3 + 7672000*ln2^3*z2*z3 - 29400000*ln2^2*sinf*z2*z3 - 
    24696000*ln2*sinf^2*z2*z3 - 4116000*sinf^3*z2*z3 + 
    129431400*ln2*z2^2*z3 + 22192800*sinf*z2^2*z3 + 23257500*ln2^2*z3^2 + 
    147504000*ln2*sinf*z3^2 + 50494500*sinf^2*z3^2 + 62643000*z2*z3^2 + 
    56448000*ln2^3*z5 + 374409000*ln2^2*sinf*z5 + 169344000*ln2*sinf^2*z5 - 
    11907000*sinf^3*z5 - 18144000*ln2*z2*z5 + 186858000*sinf*z2*z5 + 
    228209625*z3*z5 + 846720000*ln2*z7 - 1072551375*sinf*z7)/56448000, 
 H[1, 1, 1, 1, -1, 1, 0, 1, 1] -> (-366912000*li8half - 9100*ln2^8 + 
    3024000*ln2^2*s6 + 46270350*s8a + 515592000*s8b - 6048000*s8c + 
    111888000*s8d + 282240000*li7half*sinf - 56000*ln2^7*sinf + 
    68544000*ln2*s6*sinf - 68544000*s7a*sinf - 26208000*s7b*sinf - 
    98784000*li6half*sinf^2 - 137200*ln2^6*sinf^2 - 10584000*s6*sinf^2 + 
    18816000*li5half*sinf^3 - 156800*ln2^5*sinf^3 - 1176000*li4half*sinf^4 - 
    49000*ln2^4*sinf^4 + 239904000*li6half*z2 + 392000*ln2^6*z2 - 
    266112000*s6*z2 - 169344000*li5half*sinf*z2 + 1646400*ln2^5*sinf*z2 + 
    49392000*li4half*sinf^2*z2 + 2352000*ln2^4*sinf^2*z2 - 
    294000*ln2^2*sinf^4*z2 + 80942400*li4half*z2^2 - 126000*ln2^4*z2^2 - 
    8232000*ln2^3*sinf*z2^2 - 3704400*ln2^2*sinf^2*z2^2 + 
    5644800*ln2*sinf^3*z2^2 + 558600*sinf^4*z2^2 - 19706400*ln2^2*z2^3 - 
    18295200*ln2*sinf*z2^3 - 932400*sinf^2*z2^3 - 56347884*z2^4 + 
    39648000*li5half*z3 - 389200*ln2^5*z3 - 178752000*li4half*sinf*z3 - 
    7742000*ln2^4*sinf*z3 - 588000*ln2^3*sinf^2*z3 - 588000*ln2^2*sinf^3*z3 - 
    294000*ln2*sinf^4*z3 + 1344000*ln2^3*z2*z3 + 43512000*ln2^2*sinf*z2*z3 + 
    3528000*ln2*sinf^2*z2*z3 - 7644000*sinf^3*z2*z3 + 16039800*ln2*z2^2*z3 + 
    41815200*sinf*z2^2*z3 - 325500*ln2^2*z3^2 - 88032000*ln2*sinf*z3^2 + 
    27121500*sinf^2*z3^2 - 64995000*z2*z3^2 - 41013000*ln2^2*sinf*z5 - 
    8526000*sinf^3*z5 + 18144000*ln2*z2*z5 + 101241000*sinf*z2*z5 + 
    161285250*z3*z5 - 187180875*sinf*z7)/28224000, 
 H[1, 1, 1, 1, -1, 1, 0, 0, 1] -> (56448000*li8half + 1400*ln2^8 + 
    3276000*ln2^2*s6 - 20854575*s8a - 224658000*s8b - 6552000*s8c - 
    37548000*s8d - 42336000*li7half*sinf + 8400*ln2^7*sinf - 
    23436000*ln2*s6*sinf + 23436000*s7a*sinf - 6552000*s7b*sinf + 
    14112000*li6half*sinf^2 + 19600*ln2^6*sinf^2 - 7938000*s6*sinf^2 - 
    2352000*li5half*sinf^3 + 19600*ln2^5*sinf^3 - 77616000*li6half*z2 - 
    147000*ln2^6*z2 + 103320000*s6*z2 + 49392000*li5half*sinf*z2 - 
    588000*ln2^5*sinf*z2 - 10584000*li4half*sinf^2*z2 - 
    735000*ln2^4*sinf^2*z2 - 196000*ln2^3*sinf^3*z2 - 7509600*li4half*z2^2 + 
    1296750*ln2^4*z2^2 + 4204200*ln2^3*sinf*z2^2 + 
    2954700*ln2^2*sinf^2*z2^2 + 323400*ln2*sinf^3*z2^2 + 139650*sinf^4*z2^2 + 
    1417500*ln2^2*z2^3 + 8290800*ln2*sinf*z2^3 + 1669500*sinf^2*z2^3 + 
    13732713*z2^4 - 168000*li5half*z3 - 42700*ln2^5*z3 + 
    42336000*li4half*sinf*z3 + 1543500*ln2^4*sinf*z3 - 
    441000*ln2^3*sinf^2*z3 - 441000*ln2^2*sinf^3*z3 - 220500*ln2*sinf^4*z3 + 
    868000*ln2^3*z2*z3 - 7938000*ln2^2*sinf*z2*z3 + 
    2646000*ln2*sinf^2*z2*z3 + 1617000*sinf^3*z2*z3 + 6439650*ln2*z2^2*z3 - 
    11684400*sinf*z2^2*z3 + 39375*ln2^2*z3^2 + 27531000*ln2*sinf*z3^2 - 
    3031875*sinf^2*z3^2 + 28323750*z2*z3^2 + 29050875*ln2^2*sinf*z5 - 
    2921625*sinf^3*z5 + 19656000*ln2*z2*z5 + 25751250*sinf*z2*z5 - 
    35358750*z3*z5 - 69410250*sinf*z7)/7056000, 
 H[1, 1, 1, 1, -1, 1, 0, -1, 1] -> 
  (-1580544000*li8half - 56448000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 305200*ln2^8 + 
    17136000*ln2^2*s6 + 70560000*ln2*s7a + 70560000*ln2*s7b - 344378475*s8a - 
    2109240000*s8b - 316512000*s8c - 50400000*s8d + 1185408000*li7half*sinf - 
    56448000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf + 
    28224000*li4half*ln2^3*sinf + 1097600*ln2^7*sinf - 
    262080000*ln2*s6*sinf + 120960000*s7a*sinf - 189504000*s7b*sinf - 
    508032000*li6half*sinf^2 - 28224000*li5half*ln2*sinf^2 + 
    42336000*li4half*ln2^2*sinf^2 + 1293600*ln2^6*sinf^2 - 
    197568000*s6*sinf^2 + 103488000*li5half*sinf^3 + 
    28224000*li4half*ln2*sinf^3 + 313600*ln2^5*sinf^3 - 
    9408000*li4half*sinf^4 - 392000*ln2^4*sinf^4 + 677376000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 4351200*ln2^6*z2 + 
    552384000*s6*z2 - 395136000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*
     z2 - 7996800*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 - 
    1764000*ln2^4*sinf^2*z2 + 1764000*ln2^2*sinf^4*z2 - 
    36892800*li4half*z2^2 + 30861600*ln2^4*z2^2 + 74323200*ln2^3*sinf*z2^2 + 
    56800800*ln2^2*sinf^2*z2^2 + 29635200*ln2*sinf^3*z2^2 + 
    3880800*sinf^4*z2^2 + 36792000*ln2^2*z2^3 + 118440000*ln2*sinf*z2^3 + 
    68796000*sinf^2*z2^3 - 6081696*z2^4 + 399504000*li5half*z3 + 
    204624000*li4half*ln2*z3 + 3668000*ln2^5*z3 - 32928000*li4half*sinf*z3 - 
    9016000*ln2^4*sinf*z3 - 15288000*ln2^3*sinf^2*z3 - 
    15288000*ln2^2*sinf^3*z3 - 7644000*ln2*sinf^4*z3 + 9576000*ln2^3*z2*z3 + 
    95256000*ln2^2*sinf*z2*z3 + 91728000*ln2*sinf^2*z2*z3 + 
    7056000*sinf^3*z2*z3 + 246065400*ln2*z2^2*z3 + 92584800*sinf*z2^2*z3 + 
    106984500*ln2^2*z3^2 + 99750000*ln2*sinf*z3^2 + 49392000*sinf^2*z3^2 + 
    254362500*z2*z3^2 - 68355000*ln2^3*z5 + 95697000*ln2^2*sinf*z5 - 
    205065000*ln2*sinf^2*z5 - 124215000*sinf^3*z5 + 1152396000*ln2*z2*z5 + 
    1144080000*sinf*z2*z5 - 346103625*z3*z5 - 382843125*ln2*z7 - 
    2572038000*sinf*z7)/56448000, H[1, 1, 1, 1, -1, 1, -1, 1, 1] -> 
  (-620928000*li8half + 9100*ln2^8 - 3024000*ln2^2*s6 - 46270350*s8a - 
    515592000*s8b + 6048000*s8c - 111888000*s8d + 282240000*li7half*sinf + 
    56000*ln2^7*sinf - 68544000*ln2*s6*sinf + 68544000*s7a*sinf + 
    26208000*s7b*sinf - 42336000*li6half*sinf^2 + 137200*ln2^6*sinf^2 + 
    10584000*s6*sinf^2 + 156800*ln2^5*sinf^3 + 49000*ln2^4*sinf^4 + 
    42336000*li6half*z2 - 392000*ln2^6*z2 + 266112000*s6*z2 - 
    1646400*ln2^5*sinf*z2 - 2352000*ln2^4*sinf^2*z2 - 
    1568000*ln2^3*sinf^3*z2 - 294000*ln2^2*sinf^4*z2 - 
    22377600*li4half*z2^2 + 126000*ln2^4*z2^2 + 1646400*ln2^3*sinf*z2^2 - 
    1234800*ln2^2*sinf^2*z2^2 - 940800*ln2*sinf^3*z2^2 + 29400*sinf^4*z2^2 + 
    11692800*ln2^2*z2^3 + 38052000*ln2*sinf*z2^3 + 5871600*sinf^2*z2^3 + 
    64361484*z2^4 + 223776000*li5half*z3 + 389200*ln2^5*z3 + 
    7742000*ln2^4*sinf*z3 + 9996000*ln2^3*sinf^2*z3 + 
    5292000*ln2^2*sinf^3*z3 + 294000*ln2*sinf^4*z3 - 13888000*ln2^3*z2*z3 - 
    62328000*ln2^2*sinf*z2*z3 - 31752000*ln2*sinf^2*z2*z3 - 
    5292000*sinf^3*z2*z3 + 21592200*ln2*z2^2*z3 - 57573600*sinf*z2^2*z3 + 
    9733500*ln2^2*z3^2 + 88032000*ln2*sinf*z3^2 + 22270500*sinf^2*z3^2 - 
    10269000*z2*z3^2 + 37632000*ln2^3*z5 + 97461000*ln2^2*sinf*z5 + 
    8526000*sinf^3*z5 - 131040000*ln2*z2*z5 - 157689000*sinf*z2*z5 + 
    36282750*z3*z5 + 187180875*sinf*z7)/28224000, 
 H[1, 1, 1, 1, -1, 1, -1, 0, 1] -> (846720000*li8half + 21000*ln2^8 + 
    16128000*ln2^2*s6 - 214200*s8a + 110880000*s8b - 32256000*s8c + 
    32256000*s8d - 508032000*li7half*sinf + 100800*ln2^7*sinf + 
    59472000*ln2*s6*sinf - 59472000*s7a*sinf - 52416000*s7b*sinf + 
    127008000*li6half*sinf^2 + 176400*ln2^6*sinf^2 - 
    14112000*li5half*sinf^3 + 117600*ln2^5*sinf^3 - 324576000*li6half*z2 - 
    352800*ln2^6*z2 - 128016000*s6*z2 + 127008000*li5half*sinf*z2 - 
    588000*ln2^5*sinf*z2 + 882000*ln2^4*sinf^2*z2 + 784000*ln2^3*sinf^3*z2 + 
    294000*ln2^2*sinf^4*z2 + 6451200*li4half*z2^2 - 613200*ln2^4*z2^2 - 
    5997600*ln2^3*sinf*z2^2 - 10231200*ln2^2*sinf^2*z2^2 - 
    1293600*ln2*sinf^3*z2^2 + 117600*sinf^4*z2^2 - 14389200*ln2^2*z2^3 - 
    48132000*ln2*sinf*z2^3 - 21319200*sinf^2*z2^3 - 43856352*z2^4 - 
    177408000*li5half*z3 + 1243200*ln2^5*z3 - 1176000*ln2^4*sinf*z3 - 
    2352000*ln2^3*sinf^2*z3 - 2352000*ln2^2*sinf^3*z3 - 
    1176000*ln2*sinf^4*z3 + 7952000*ln2^3*z2*z3 + 58800000*ln2^2*sinf*z2*z3 + 
    56448000*ln2*sinf^2*z2*z3 + 8232000*sinf^3*z2*z3 - 25468800*ln2*z2^2*z3 + 
    37178400*sinf*z2^2*z3 - 168000*ln2^2*z3^2 - 83748000*ln2*sinf*z3^2 - 
    30870000*sinf^2*z3^2 + 116508000*z2*z3^2 - 6835500*ln2^2*sinf*z5 - 
    2131500*sinf^3*z5 + 266112000*ln2*z2*z5 + 206451000*sinf*z2*z5 - 
    139461000*z3*z5 - 158547375*sinf*z7)/28224000, 
 H[1, 1, 1, 1, -1, 1, -1, -1, 1] -> 
  (1072512000*li8half - 22400*ln2^8 - 33264000*ln2^2*s6 + 178004925*s8a + 
    1426824000*s8b + 66528000*s8c + 187488000*s8d - 395136000*li7half*sinf - 
    145600*ln2^7*sinf + 100800000*ln2*s6*sinf - 100800000*s7a*sinf + 
    26208000*s7b*sinf - 392000*ln2^6*sinf^2 + 28224000*li5half*sinf^3 - 
    548800*ln2^5*sinf^3 - 7056000*li4half*sinf^4 - 392000*ln2^4*sinf^4 + 
    1019200*ln2^6*z2 - 501984000*s6*z2 - 84672000*li5half*sinf*z2 + 
    4704000*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 + 
    8232000*ln2^4*sinf^2*z2 + 5488000*ln2^3*sinf^3*z2 + 
    2352000*ln2^2*sinf^4*z2 + 33264000*li4half*z2^2 + 386400*ln2^4*z2^2 + 
    1176000*ln2^3*sinf*z2^2 + 9172800*ln2^2*sinf^2*z2^2 + 
    13406400*ln2*sinf^3*z2^2 + 2822400*sinf^4*z2^2 - 5560800*ln2^2*z2^3 - 
    45444000*ln2*sinf*z2^3 - 3292800*sinf^2*z2^3 - 87859752*z2^4 - 
    318528000*li5half*z3 - 3088400*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    24010000*ln2^4*sinf*z3 - 32340000*ln2^3*sinf^2*z3 - 
    22932000*ln2^2*sinf^3*z3 - 6762000*ln2*sinf^4*z3 + 53816000*ln2^3*z2*z3 + 
    184632000*ln2^2*sinf*z2*z3 + 109368000*ln2*sinf^2*z2*z3 + 
    13524000*sinf^3*z2*z3 - 113992200*ln2*z2^2*z3 + 40975200*sinf*z2^2*z3 - 
    83443500*ln2^2*z3^2 - 236544000*ln2*sinf*z3^2 - 39028500*sinf^2*z3^2 - 
    11823000*z2*z3^2 - 127008000*ln2^3*z5 - 391167000*ln2^2*sinf*z5 - 
    155232000*ln2*sinf^2*z5 - 55125000*sinf^3*z5 + 223776000*ln2*z2*z5 + 
    239652000*sinf*z2*z5 - 184534875*z3*z5 - 620928000*ln2*z7 - 
    40375125*sinf*z7)/56448000, H[1, 1, 1, 1, -1, 0, 1, 1, 1] -> 
  (-56448000*li8half - 1400*ln2^8 - 53424000*ln2^2*s6 + 232118775*s8a + 
    1545768000*s8b + 106848000*s8c + 104832000*s8d + 56448000*li7half*sinf - 
    11200*ln2^7*sinf + 104832000*ln2*s6*sinf - 104832000*s7a*sinf + 
    106848000*s7b*sinf - 28224000*li6half*sinf^2 - 39200*ln2^6*sinf^2 + 
    105840000*s6*sinf^2 + 9408000*li5half*sinf^3 - 78400*ln2^5*sinf^3 - 
    2352000*li4half*sinf^4 - 98000*ln2^4*sinf^4 + 28224000*li6half*z2 + 
    78400*ln2^6*z2 - 421344000*s6*z2 - 28224000*li5half*sinf*z2 + 
    470400*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 + 
    1176000*ln2^4*sinf^2*z2 + 784000*ln2^3*sinf^3*z2 + 
    588000*ln2^2*sinf^4*z2 + 87292800*li4half*z2^2 + 520800*ln2^4*z2^2 - 
    12465600*ln2^3*sinf*z2^2 - 18698400*ln2^2*sinf^2*z2^2 - 
    10113600*ln2*sinf^3*z2^2 + 294000*sinf^4*z2^2 - 36338400*ln2^2*z2^3 - 
    89661600*ln2*sinf*z2^3 - 6602400*sinf^2*z2^3 - 52500096*z2^4 - 
    134400000*li5half*z3 + 1178800*ln2^5*z3 - 75264000*li4half*sinf*z3 - 
    2842000*ln2^4*sinf*z3 + 588000*ln2^3*sinf^2*z3 + 588000*ln2^2*sinf^3*z3 + 
    294000*ln2*sinf^4*z3 - 12376000*ln2^3*z2*z3 + 15288000*ln2^2*sinf*z2*z3 - 
    3528000*ln2*sinf^2*z2*z3 - 588000*sinf^3*z2*z3 - 136487400*ln2*z2^2*z3 - 
    67351200*sinf*z2^2*z3 - 13849500*ln2^2*z3^2 - 128688000*ln2*sinf*z3^2 - 
    25798500*sinf^2*z3^2 - 96747000*z2*z3^2 - 205065000*ln2^2*sinf*z5 + 
    11907000*sinf^3*z5 - 320544000*ln2*z2*z5 - 356202000*sinf*z2*z5 + 
    68142375*z3*z5 + 1072551375*sinf*z7)/56448000, 
 H[1, 1, 1, 1, -1, 0, 1, 0, 1] -> (112896000*li8half + 2800*ln2^8 - 
    20160000*ln2^2*s6 + 9010575*s8a - 290304000*s8b + 40320000*s8c - 
    61488000*s8d - 112896000*li7half*sinf + 22400*ln2^7*sinf - 
    61488000*ln2*s6*sinf + 61488000*s7a*sinf + 40320000*s7b*sinf + 
    56448000*li6half*sinf^2 + 78400*ln2^6*sinf^2 - 10584000*s6*sinf^2 - 
    18816000*li5half*sinf^3 + 156800*ln2^5*sinf^3 + 4704000*li4half*sinf^4 + 
    196000*ln2^4*sinf^4 - 141120000*li6half*z2 - 274400*ln2^6*z2 + 
    207648000*s6*z2 + 141120000*li5half*sinf*z2 - 1646400*ln2^5*sinf*z2 - 
    70560000*li4half*sinf^2*z2 - 4116000*ln2^4*sinf^2*z2 - 
    1568000*ln2^3*sinf^3*z2 - 1176000*ln2^2*sinf^4*z2 - 
    20764800*li4half*z2^2 + 1398600*ln2^4*z2^2 + 9055200*ln2^3*sinf*z2^2 + 
    13582800*ln2^2*sinf^2*z2^2 - 2704800*ln2*sinf^3*z2^2 - 
    1499400*sinf^4*z2^2 + 16758000*ln2^2*z2^3 + 40672800*ln2*sinf*z2^3 + 
    11802000*sinf^2*z2^3 + 32162532*z2^4 - 55776000*li5half*z3 + 
    817600*ln2^5*z3 + 178752000*li4half*sinf*z3 + 9212000*ln2^4*sinf*z3 + 
    3528000*ln2^3*sinf^2*z3 + 3528000*ln2^2*sinf^3*z3 + 
    1764000*ln2*sinf^4*z3 - 11704000*ln2^3*z2*z3 - 
    65856000*ln2^2*sinf*z2*z3 - 21168000*ln2*sinf^2*z2*z3 - 
    588000*sinf^3*z2*z3 - 38371200*ln2*z2^2*z3 - 66276000*sinf*z2^2*z3 + 
    1386000*ln2^2*z3^2 + 90972000*ln2*sinf*z3^2 - 3528000*sinf^2*z3^2 - 
    17304000*z2*z3^2 + 20506500*ln2^2*sinf*z5 + 19036500*sinf^3*z5 - 
    120960000*ln2*z2*z5 - 164745000*sinf*z2*z5 + 85519875*z3*z5 + 
    205041375*sinf*z7)/28224000, H[1, 1, 1, 1, -1, 0, 1, -1, 1] -> 
  (2709504000*li8half + 338688000*li7half*ln2 + 141120000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 215600*ln2^8 - 
    93744000*ln2^2*s6 + 70560000*ln2*s7a + 70560000*ln2*s7b + 395714025*s8a + 
    3039624000*s8b + 187488000*s8c + 264096000*s8d - 
    1524096000*li7half*sinf + 282240000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf - 
    638400*ln2^7*sinf + 350784000*ln2*s6*sinf - 209664000*s7a*sinf + 
    312480000*s7b*sinf + 846720000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 - 14112000*li4half*ln2^2*sinf^2 - 
    352800*ln2^6*sinf^2 + 437472000*s6*sinf^2 - 122304000*li5half*sinf^3 - 
    9408000*li4half*ln2*sinf^3 + 627200*ln2^5*sinf^3 + 
    9408000*li4half*sinf^4 + 392000*ln2^4*sinf^4 - 987840000*li6half*z2 - 
    141120000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1999200*ln2^6*z2 - 
    1262016000*s6*z2 + 254016000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 235200*ln2^5*sinf*z2 - 
    42336000*li4half*sinf^2*z2 + 588000*ln2^4*sinf^2*z2 - 
    784000*ln2^3*sinf^3*z2 + 1176000*ln2^2*sinf^4*z2 + 
    42940800*li4half*z2^2 - 17556000*ln2^4*z2^2 - 38337600*ln2^3*sinf*z2^2 - 
    62445600*ln2^2*sinf^2*z2^2 - 33868800*ln2*sinf^3*z2^2 - 
    3292800*sinf^4*z2^2 + 59220000*ln2^2*z2^3 - 83613600*ln2*sinf*z2^3 - 
    88149600*sinf^2*z2^3 - 72208296*z2^4 - 631680000*li5half*z3 + 
    79968000*li4half*ln2*z3 + 9360400*ln2^5*z3 + 82320000*li4half*sinf*z3 + 
    7252000*ln2^4*sinf*z3 + 7644000*ln2^3*sinf^2*z3 + 
    7644000*ln2^2*sinf^3*z3 + 3822000*ln2*sinf^4*z3 - 73808000*ln2^3*z2*z3 - 
    38220000*ln2^2*sinf*z2*z3 - 8820000*ln2*sinf^2*z2*z3 - 
    7644000*sinf^3*z2*z3 - 346764600*ln2*z2^2*z3 - 110535600*sinf*z2^2*z3 + 
    29053500*ln2^2*z3^2 - 327642000*ln2*sinf*z3^2 - 156334500*sinf^2*z3^2 - 
    43890000*z2*z3^2 - 68355000*ln2^3*z5 - 710892000*ln2^2*sinf*z5 - 
    205065000*ln2*sinf^2*z5 + 133917000*sinf^3*z5 - 359604000*ln2*z2*z5 - 
    1130913000*sinf*z2*z5 - 72421125*z3*z5 - 382843125*ln2*z7 + 
    2901583125*sinf*z7)/56448000, H[1, 1, 1, 1, -1, 0, 0, 1, 1] -> 
  (-8064000*li8half - 200*ln2^8 + 1008000*ln2^2*s6 - 10475325*s8a - 
    82152000*s8b - 2016000*s8c - 10080000*s8d + 8064000*li7half*sinf - 
    1600*ln2^7*sinf - 10080000*ln2*s6*sinf + 10080000*s7a*sinf - 
    2016000*s7b*sinf - 4032000*li6half*sinf^2 - 5600*ln2^6*sinf^2 - 
    6048000*s6*sinf^2 + 1344000*li5half*sinf^3 - 11200*ln2^5*sinf^3 - 
    336000*li4half*sinf^4 - 14000*ln2^4*sinf^4 - 8064000*li6half*z2 - 
    5600*ln2^6*z2 + 34272000*s6*z2 + 8064000*li5half*sinf*z2 - 
    33600*ln2^5*sinf*z2 - 4032000*li4half*sinf^2*z2 - 84000*ln2^4*sinf^2*z2 + 
    112000*ln2^3*sinf^3*z2 + 84000*ln2^2*sinf^4*z2 - 8668800*li4half*z2^2 - 
    176400*ln2^4*z2^2 + 739200*ln2^3*sinf*z2^2 + 1108800*ln2^2*sinf^2*z2^2 + 
    67200*ln2*sinf^3*z2^2 + 100800*sinf^4*z2^2 + 2448000*ln2^2*z2^3 + 
    4946400*ln2*sinf*z2^3 + 2184000*sinf^2*z2^3 + 7791528*z2^4 + 
    2688000*li5half*z3 - 47600*ln2^5*z3 + 17472000*li4half*sinf*z3 + 
    602000*ln2^4*sinf*z3 - 252000*ln2^3*sinf^2*z3 - 252000*ln2^2*sinf^3*z3 - 
    126000*ln2*sinf^4*z3 + 728000*ln2^3*z2*z3 - 2856000*ln2^2*sinf*z2*z3 + 
    1512000*ln2*sinf^2*z2*z3 + 1344000*sinf^3*z2*z3 + 1533000*ln2*z2^2*z3 - 
    2973600*sinf*z2^2*z3 - 220500*ln2^2*z3^2 + 11592000*ln2*sinf*z3^2 - 
    787500*sinf^2*z3^2 + 8799000*z2*z3^2 + 11718000*ln2^2*sinf*z5 - 
    3570000*sinf^3*z5 + 6048000*ln2*z2*z5 + 16884000*sinf*z2*z5 - 
    19417125*z3*z5 - 52754625*sinf*z7)/4032000, 
 H[1, 1, 1, 1, -1, 0, 0, 0, 1] -> (527625*s8a + 7056000*s8b + 1008000*s8d + 
    1008000*ln2*s6*sinf - 1008000*s7a*sinf + 504000*s6*sinf^2 + 
    806400*li6half*z2 + 1120*ln2^6*z2 - 3830400*s6*z2 - 
    806400*li5half*sinf*z2 + 6720*ln2^5*sinf*z2 + 403200*li4half*sinf^2*z2 + 
    16800*ln2^4*sinf^2*z2 + 403200*li4half*z2^2 - 12600*ln2^4*z2^2 - 
    117600*ln2^3*sinf*z2^2 - 176400*ln2^2*sinf^2*z2^2 - 
    50400*ln2*sinf^3*z2^2 - 5880*sinf^4*z2^2 - 45360*ln2^2*z2^3 - 
    292320*ln2*sinf*z2^3 - 120240*sinf^2*z2^3 - 420804*z2^4 - 
    2016000*li4half*sinf*z3 - 84000*ln2^4*sinf*z3 + 504000*ln2^2*sinf*z2*z3 - 
    50400*sinf^3*z2*z3 - 100800*ln2*z2^2*z3 + 532560*sinf*z2^2*z3 - 
    1260000*ln2*sinf*z3^2 + 50400*sinf^2*z3^2 - 604800*z2*z3^2 - 
    976500*ln2^2*sinf*z5 + 191100*sinf^3*z5 - 1360800*sinf*z2*z5 + 
    991725*z3*z5 + 2968875*sinf*z7)/403200, H[1, 1, 1, 1, -1, 0, 0, -1, 1] -> 
  (-8467200*li4half^2 - 11289600*li7half*ln2 - 5644800*li6half*ln2^2 - 
    1881600*li5half*ln2^3 - 1176000*li4half*ln2^4 - 24220*ln2^8 + 
    11088000*ln2^2*s6 - 11289600*ln2*s7a - 14112000*ln2*s7b - 7749000*s8a - 
    68947200*s8b + 3225600*s8c - 17337600*s8d - 22579200*li7half*sinf - 
    11289600*li6half*ln2*sinf - 5644800*li5half*ln2^2*sinf - 
    1881600*li4half*ln2^3*sinf - 42560*ln2^7*sinf - 403200*ln2*s6*sinf + 
    3225600*s7a*sinf - 16531200*s7b*sinf - 5644800*li5half*ln2*sinf^2 - 
    2822400*li4half*ln2^2*sinf^2 - 70560*ln2^6*sinf^2 - 7056000*s6*sinf^2 - 
    3763200*li5half*sinf^3 - 1881600*li4half*ln2*sinf^3 - 
    47040*ln2^5*sinf^3 - 2822400*li6half*z2 + 11289600*li5half*ln2*z2 + 
    9878400*li4half*ln2^2*z2 + 344960*ln2^6*z2 + 48787200*s6*z2 + 
    25401600*li5half*sinf*z2 + 11289600*li4half*ln2*sinf*z2 + 
    399840*ln2^5*sinf*z2 - 1411200*li4half*sinf^2*z2 + 
    176400*ln2^4*sinf^2*z2 + 156800*ln2^3*sinf^3*z2 + 6269760*li4half*z2^2 - 
    967680*ln2^4*z2^2 - 1858080*ln2^3*sinf*z2^2 - 1375920*ln2^2*sinf^2*z2^2 - 
    1152480*ln2*sinf^3*z2^2 - 29400*sinf^4*z2^2 - 7776720*ln2^2*z2^3 - 
    4566240*ln2*sinf*z2^3 - 960960*sinf^2*z2^3 + 2311104*z2^4 + 
    10920000*li5half*z3 - 28459200*li4half*ln2*z3 - 1241520*ln2^5*z3 - 
    3528000*li4half*sinf*z3 + 29400*ln2^4*sinf*z3 + 352800*ln2^3*sinf^2*z3 + 
    352800*ln2^2*sinf^3*z3 + 176400*ln2*sinf^4*z3 + 7319200*ln2^3*z2*z3 - 
    1234800*ln2^2*sinf*z2*z3 - 2116800*ln2*sinf^2*z2*z3 + 
    411600*sinf^3*z2*z3 + 15753360*ln2*z2^2*z3 + 3582600*sinf*z2^2*z3 - 
    10221750*ln2^2*z3^2 + 12719700*ln2*sinf*z3^2 + 3064950*sinf^2*z3^2 - 
    3712800*z2*z3^2 + 10025400*ln2^3*z5 + 41013000*ln2^2*sinf*z5 + 
    21873600*ln2*sinf^2*z5 + 3175200*sinf^3*z5 - 11881800*ln2*z2*z5 + 
    17690400*sinf*z2*z5 + 2516850*z3*z5 - 15798825*ln2*z7 - 46190025*sinf*z7)/
   5644800, H[1, 1, 1, 1, -1, 0, -1, 1, 1] -> 
  (-2257920000*li8half + 28224000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 120400*ln2^8 + 217728000*ln2^2*s6 - 
    483956550*s8a - 2623824000*s8b - 435456000*s8c + 68544000*s8d + 
    1693440000*li7half*sinf + 28224000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 212800*ln2^7*sinf - 88704000*ln2*s6*sinf + 
    88704000*s7a*sinf - 348768000*s7b*sinf - 677376000*li6half*sinf^2 + 
    14112000*li4half*ln2^2*sinf^2 - 352800*ln2^6*sinf^2 - 
    324576000*s6*sinf^2 + 131712000*li5half*sinf^3 - 1097600*ln2^5*sinf^3 - 
    9408000*li4half*sinf^4 - 392000*ln2^4*sinf^4 + 649152000*li6half*z2 - 
    141120000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 196000*ln2^6*z2 + 
    370944000*s6*z2 - 423360000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 5880000*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 + 
    5292000*ln2^4*sinf^2*z2 + 3920000*ln2^3*sinf^3*z2 - 
    1176000*ln2^2*sinf^4*z2 + 9475200*li4half*z2^2 + 10567200*ln2^4*z2^2 + 
    25166400*ln2^3*sinf*z2^2 + 63856800*ln2^2*sinf^2*z2^2 + 
    34809600*ln2*sinf^3*z2^2 + 2940000*sinf^4*z2^2 - 45813600*ln2^2*z2^3 + 
    59320800*ln2*sinf*z2^3 + 82706400*sinf^2*z2^3 - 19153368*z2^4 + 
    316848000*li5half*z3 - 8050000*ln2^5*z3 - 68208000*li4half*sinf*z3 - 
    23716000*ln2^4*sinf*z3 - 29400000*ln2^3*sinf^2*z3 - 
    17052000*ln2^2*sinf^3*z3 - 2352000*ln2*sinf^4*z3 + 95788000*ln2^3*z2*z3 + 
    165228000*ln2^2*sinf*z2*z3 + 65268000*ln2*sinf^2*z2*z3 + 
    17052000*sinf^3*z2*z3 + 445678800*ln2*z2^2*z3 + 213402000*sinf*z2^2*z3 + 
    16327500*ln2^2*z3^2 + 92064000*ln2*sinf*z3^2 + 64606500*sinf^2*z3^2 + 
    350994000*z2*z3^2 - 91140000*ln2^3*z5 + 287091000*ln2^2*sinf*z5 - 
    153174000*sinf^3*z5 + 1579788000*ln2*z2*z5 + 1634409000*sinf*z2*z5 - 
    211296750*z3*z5 - 4018951125*sinf*z7)/56448000, 
 H[1, 1, 1, 1, -1, 0, -1, 0, 1] -> (42336000*li4half^2 + 112896000*li8half + 
    3528000*li4half*ln2^4 + 76300*ln2^8 - 104832000*ln2^2*s6 + 
    167472900*s8a + 570528000*s8b + 209664000*s8c - 110880000*s8d - 
    112896000*li7half*sinf + 22400*ln2^7*sinf - 68544000*ln2*s6*sinf + 
    68544000*s7a*sinf + 167328000*s7b*sinf + 56448000*li6half*sinf^2 + 
    78400*ln2^6*sinf^2 + 49392000*s6*sinf^2 - 18816000*li5half*sinf^3 + 
    156800*ln2^5*sinf^3 + 4704000*li4half*sinf^4 + 196000*ln2^4*sinf^4 - 
    155232000*li6half*z2 + 42336000*li5half*ln2*z2 - 646800*ln2^6*z2 + 
    94752000*s6*z2 + 239904000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*
     z2 - 705600*ln2^5*sinf*z2 - 77616000*li4half*sinf^2*z2 - 
    4410000*ln2^4*sinf^2*z2 - 1568000*ln2^3*sinf^3*z2 - 
    1176000*ln2^2*sinf^4*z2 - 42638400*li4half*z2^2 + 1222200*ln2^4*z2^2 + 
    4939200*ln2^3*sinf*z2^2 + 12700800*ln2^2*sinf^2*z2^2 - 
    4468800*ln2*sinf^3*z2^2 - 1617000*sinf^4*z2^2 + 45864000*ln2^2*z2^3 + 
    70660800*ln2*sinf*z2^3 + 14431200*sinf^2*z2^3 + 89796864*z2^4 - 
    73416000*li5half*z3 + 1082200*ln2^5*z3 + 147000000*li4half*sinf*z3 + 
    8477000*ln2^4*sinf*z3 + 4704000*ln2^3*sinf^2*z3 + 
    4704000*ln2^2*sinf^3*z3 + 2352000*ln2*sinf^4*z3 - 34048000*ln2^3*z2*z3 - 
    120540000*ln2^2*sinf*z2*z3 - 83790000*ln2*sinf^2*z2*z3 - 
    9702000*sinf^3*z2*z3 - 158676000*ln2*z2^2*z3 - 123400200*sinf*z2^2*z3 - 
    20076000*ln2^2*z3^2 + 104496000*ln2*sinf*z3^2 + 12899250*sinf^2*z3^2 - 
    210829500*z2*z3^2 - 95697000*ln2^2*sinf*z5 + 37926000*sinf^3*z5 - 
    834057000*ln2*z2*z5 - 891954000*sinf*z2*z5 + 261938250*z3*z5 + 
    1420437375*sinf*z7)/28224000, H[1, 1, 1, 1, -1, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 - 282240000*li8half - 225792000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 + 47600*ln2^8 - 110880000*ln2^2*s6 - 
    42336000*ln2*s7a - 14112000*ln2*s7b + 80268300*s8a - 121968000*s8b + 
    137088000*s8c - 122976000*s8d - 112896000*li7half*sinf - 
    169344000*li6half*ln2*sinf - 84672000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf + 884800*ln2^7*sinf - 221760000*ln2*s6*sinf + 
    52416000*s7a*sinf + 122976000*s7b*sinf - 84672000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    1528800*ln2^6*sinf^2 - 63504000*s6*sinf^2 + 28224000*li4half*ln2*sinf^3 + 
    1176000*ln2^5*sinf^3 + 7056000*li4half*sinf^4 + 294000*ln2^4*sinf^4 + 
    169344000*li6half*z2 + 141120000*li5half*ln2*z2 - 2469600*ln2^6*z2 + 
    387072000*s6*z2 + 56448000*li5half*sinf*z2 - 141120000*li4half*ln2*sinf*
     z2 - 12700800*ln2^5*sinf*z2 - 84672000*li4half*sinf^2*z2 - 
    13524000*ln2^4*sinf^2*z2 - 7056000*ln2^3*sinf^3*z2 - 
    1764000*ln2^2*sinf^4*z2 + 29030400*li4half*z2^2 + 11734800*ln2^4*z2^2 + 
    27988800*ln2^3*sinf*z2^2 + 3175200*ln2^2*sinf^2*z2^2 - 
    11995200*ln2*sinf^3*z2^2 - 2822400*sinf^4*z2^2 + 10029600*ln2^2*z2^3 + 
    62244000*ln2*sinf*z2^3 + 25653600*sinf^2*z2^3 + 26144208*z2^4 + 
    147168000*li5half*z3 + 5006400*ln2^5*z3 + 190512000*li4half*sinf*z3 + 
    32928000*ln2^4*sinf*z3 + 37632000*ln2^3*sinf^2*z3 + 
    25284000*ln2^2*sinf^3*z3 + 6468000*ln2*sinf^4*z3 - 75348000*ln2^3*z2*z3 - 
    236376000*ln2^2*sinf*z2*z3 - 114660000*ln2*sinf^2*z2*z3 - 
    12936000*sinf^3*z2*z3 - 59572800*ln2*z2^2*z3 - 138726000*sinf*z2^2*z3 + 
    57970500*ln2^2*z3^2 + 254856000*ln2*sinf*z3^2 + 63945000*sinf^2*z3^2 - 
    249963000*z2*z3^2 + 123039000*ln2^3*z5 + 246078000*ln2^2*sinf*z5 + 
    177723000*ln2*sinf^2*z5 + 25578000*sinf^3*z5 - 862848000*ln2*z2*z5 - 
    617904000*sinf*z2*z5 + 357509250*z3*z5 + 580190625*ln2*z7 + 
    1245281625*sinf*z7)/56448000, H[1, 1, 1, 1, -1, -1, 1, 1, 1] -> 
  (-225792000*li8half + 43400*ln2^8 - 47376000*ln2^2*s6 + 103056975*s8a + 
    36792000*s8b + 94752000*s8c - 94752000*s8d + 56448000*li7half*sinf + 
    212800*ln2^7*sinf - 40320000*ln2*s6*sinf + 40320000*s7a*sinf + 
    54432000*s7b*sinf + 392000*ln2^6*sinf^2 + 313600*ln2^5*sinf^3 + 
    98000*ln2^4*sinf^4 - 1019200*ln2^6*z2 + 189504000*s6*z2 - 
    3057600*ln2^5*sinf*z2 - 2940000*ln2^4*sinf^2*z2 - 
    784000*ln2^3*sinf^3*z2 - 18950400*li4half*z2^2 + 2209200*ln2^4*z2^2 + 
    4939200*ln2^3*sinf*z2^2 + 3528000*ln2^2*sinf^2*z2^2 + 
    1646400*ln2*sinf^3*z2^2 + 117600*sinf^4*z2^2 + 12549600*ln2^2*z2^3 + 
    12650400*ln2*sinf*z2^3 - 705600*sinf^2*z2^3 + 27488376*z2^4 + 
    189504000*li5half*z3 + 1811600*ln2^5*z3 + 7546000*ln2^4*sinf*z3 + 
    4116000*ln2^3*sinf^2*z3 - 588000*ln2^2*sinf^3*z3 - 294000*ln2*sinf^4*z3 - 
    17528000*ln2^3*z2*z3 - 38808000*ln2^2*sinf*z2*z3 - 
    10584000*ln2*sinf^2*z2*z3 + 588000*sinf^3*z2*z3 - 89355000*ln2*z2^2*z3 - 
    77330400*sinf*z2^2*z3 - 14500500*ln2^2*z3^2 + 48048000*ln2*sinf*z3^2 + 
    10804500*sinf^2*z3^2 - 70329000*z2*z3^2 + 9408000*ln2^3*z5 - 
    13671000*ln2^2*sinf*z5 - 4263000*sinf^3*z5 - 312480000*ln2*z2*z5 - 
    147546000*sinf*z2*z5 + 101196375*z3*z5 + 426974625*sinf*z7)/56448000, 
 H[1, 1, 1, 1, -1, -1, 1, 0, 1] -> (225792000*li8half + 5600*ln2^8 - 
    15120000*ln2^2*s6 + 49169925*s8a + 371448000*s8b + 30240000*s8c + 
    40320000*s8d - 137088000*li7half*sinf + 27200*ln2^7*sinf + 
    28224000*ln2*s6*sinf - 28224000*s7a*sinf + 30240000*s7b*sinf + 
    36288000*li6half*sinf^2 + 50400*ln2^6*sinf^2 + 21168000*s6*sinf^2 - 
    5376000*li5half*sinf^3 + 44800*ln2^5*sinf^3 + 672000*li4half*sinf^4 + 
    28000*ln2^4*sinf^4 - 44352000*li6half*z2 - 22400*ln2^6*z2 - 
    135072000*s6*z2 + 16128000*li5half*sinf*z2 + 33600*ln2^5*sinf*z2 - 
    4032000*li4half*sinf^2*z2 + 84000*ln2^4*sinf^2*z2 + 
    112000*ln2^3*sinf^3*z2 - 84000*ln2^2*sinf^4*z2 + 8467200*li4half*z2^2 - 
    1671600*ln2^4*z2^2 - 6014400*ln2^3*sinf*z2^2 - 
    5191200*ln2^2*sinf^2*z2^2 - 2116800*ln2*sinf^3*z2^2 - 
    294000*sinf^4*z2^2 + 2570400*ln2^2*z2^3 - 7682400*ln2*sinf*z2^3 - 
    3146400*sinf^2*z2^3 - 11103552*z2^4 - 91392000*li5half*z3 + 
    870800*ln2^5*z3 + 5376000*li4half*sinf*z3 + 770000*ln2^4*sinf*z3 + 
    1092000*ln2^3*sinf^2*z3 + 1092000*ln2^2*sinf^3*z3 + 
    546000*ln2*sinf^4*z3 - 3976000*ln2^3*z2*z3 + 840000*ln2^2*sinf*z2*z3 - 
    4536000*ln2*sinf^2*z2*z3 - 1260000*sinf^3*z2*z3 - 43558200*ln2*z2^2*z3 - 
    6535200*sinf*z2^2*z3 - 2068500*ln2^2*z3^2 - 30912000*ln2*sinf*z3^2 - 
    6835500*sinf^2*z3^2 - 26397000*z2*z3^2 - 56637000*ln2^2*sinf*z5 + 
    8505000*sinf^3*z5 - 86688000*ln2*z2*z5 - 112518000*sinf*z2*z5 + 
    37729125*z3*z5 + 273128625*sinf*z7)/8064000, 
 H[1, 1, 1, 1, -1, -1, 1, -1, 1] -> 
  (197568000*li8half - 19600*ln2^8 - 23184000*ln2^2*s6 + 73541475*s8a + 
    464184000*s8b + 46368000*s8c + 38304000*s8d - 112896000*li7half*sinf - 
    89600*ln2^7*sinf + 11088000*ln2*s6*sinf - 11088000*s7a*sinf + 
    66528000*s7b*sinf + 42336000*li6half*sinf^2 - 137200*ln2^6*sinf^2 + 
    42336000*s6*sinf^2 - 14112000*li5half*sinf^3 - 39200*ln2^5*sinf^3 + 
    3528000*li4half*sinf^4 + 98000*ln2^4*sinf^4 - 42336000*li6half*z2 + 
    392000*ln2^6*z2 - 161280000*s6*z2 + 42336000*li5half*sinf*z2 + 
    823200*ln2^5*sinf*z2 - 21168000*li4half*sinf^2*z2 - 
    294000*ln2^4*sinf^2*z2 - 784000*ln2^3*sinf^3*z2 - 
    882000*ln2^2*sinf^4*z2 + 9777600*li4half*z2^2 - 1562400*ln2^4*z2^2 - 
    4351200*ln2^3*sinf*z2^2 - 4586400*ln2^2*sinf^2*z2^2 - 
    6232800*ln2*sinf^3*z2^2 - 1411200*sinf^4*z2^2 + 10038000*ln2^2*z2^3 + 
    13675200*ln2*sinf*z2^3 + 2150400*sinf^2*z2^3 - 7431864*z2^4 - 
    104832000*li5half*z3 - 204400*ln2^5*z3 + 28224000*li4half*sinf*z3 + 
    490000*ln2^4*sinf*z3 + 4116000*ln2^3*sinf^2*z3 + 
    6468000*ln2^2*sinf^3*z3 + 3234000*ln2*sinf^4*z3 - 4424000*ln2^3*z2*z3 - 
    24696000*ln2^2*sinf*z2*z3 - 31752000*ln2*sinf^2*z2*z3 - 
    6468000*sinf^3*z2*z3 - 43121400*ln2*z2^2*z3 - 33768000*sinf*z2^2*z3 - 
    7696500*ln2^2*z3^2 - 16212000*ln2*sinf*z3^2 - 661500*sinf^2*z3^2 - 
    49035000*z2*z3^2 - 7056000*ln2^3*z5 - 82246500*ln2^2*sinf*z5 - 
    7056000*ln2*sinf^2*z5 + 27121500*sinf^3*z5 - 110880000*ln2*z2*z5 - 
    272160000*sinf*z2*z5 + 84427875*z3*z5 - 112896000*ln2*z7 + 
    527829750*sinf*z7)/28224000, H[1, 1, 1, 1, -1, -1, 0, 1, 1] -> 
  (677376000*li8half + 16800*ln2^8 + 73584000*ln2^2*s6 - 196026075*s8a - 
    846216000*s8b - 147168000*s8c - 64512000*s8d - 508032000*li7half*sinf + 
    100800*ln2^7*sinf + 22176000*ln2*s6*sinf - 22176000*s7a*sinf - 
    106848000*s7b*sinf + 169344000*li6half*sinf^2 + 235200*ln2^6*sinf^2 + 
    21168000*s6*sinf^2 - 28224000*li5half*sinf^3 + 235200*ln2^5*sinf^3 - 
    282240000*li6half*z2 - 470400*ln2^6*z2 + 185472000*s6*z2 + 
    141120000*li5half*sinf*z2 - 1411200*ln2^5*sinf*z2 + 
    784000*ln2^3*sinf^3*z2 + 1176000*ln2^2*sinf^4*z2 - 
    12902400*li4half*z2^2 + 3637200*ln2^4*z2^2 + 5174400*ln2^3*sinf*z2^2 - 
    9525600*ln2^2*sinf^2*z2^2 - 6115200*ln2*sinf^3*z2^2 + 
    176400*sinf^4*z2^2 - 20966400*ln2^2*z2^3 - 45511200*ln2*sinf*z2^3 - 
    25250400*sinf^2*z2^3 - 15528672*z2^4 - 40320000*li5half*z3 + 
    42000*ln2^5*z3 - 1470000*ln2^4*sinf*z3 - 2940000*ln2^3*sinf^2*z3 - 
    2940000*ln2^2*sinf^3*z3 - 1470000*ln2*sinf^4*z3 + 18200000*ln2^3*z2*z3 + 
    55272000*ln2^2*sinf*z2*z3 + 45864000*ln2*sinf^2*z2*z3 + 
    4116000*sinf^3*z2*z3 + 139461000*ln2*z2^2*z3 + 64058400*sinf*z2^2*z3 + 
    14815500*ln2^2*z3^2 - 39480000*ln2*sinf*z3^2 - 28003500*sinf^2*z3^2 + 
    218715000*z2*z3^2 + 82026000*ln2^2*sinf*z5 + 17052000*sinf^3*z5 + 
    497952000*ln2*z2*z5 + 267120000*sinf*z2*z5 - 345478875*z3*z5 - 
    369707625*sinf*z7)/56448000, H[1, 1, 1, 1, -1, -1, 0, 0, 1] -> 
  (-4032000*li8half - 100*ln2^8 + 527625*s8a + 4032000*s8b + 1008000*s8d + 
    3225600*li7half*sinf - 640*ln2^7*sinf + 201600*ln2*s6*sinf - 
    201600*s7a*sinf - 1209600*li6half*sinf^2 - 1680*ln2^6*sinf^2 - 
    302400*s6*sinf^2 + 268800*li5half*sinf^3 - 2240*ln2^5*sinf^3 - 
    33600*li4half*sinf^4 - 1400*ln2^4*sinf^4 + 4435200*li6half*z2 + 
    8960*ln2^6*z2 - 1411200*s6*z2 - 2822400*li5half*sinf*z2 + 
    36960*ln2^5*sinf*z2 + 604800*li4half*sinf^2*z2 + 50400*ln2^4*sinf^2*z2 + 
    22400*ln2^3*sinf^3*z2 + 8400*ln2^2*sinf^4*z2 + 100800*li4half*z2^2 - 
    67200*ln2^4*z2^2 - 157920*ln2^3*sinf*z2^2 - 45360*ln2^2*sinf^2*z2^2 + 
    63840*ln2*sinf^3*z2^2 + 12600*sinf^4*z2^2 - 197280*ln2^2*z2^3 - 
    349920*ln2*sinf*z2^3 - 720*sinf^2*z2^3 - 560628*z2^4 + 
    940800*li5half*z3 - 11200*ln2^5*z3 - 1075200*li4half*sinf*z3 - 
    61600*ln2^4*sinf*z3 - 33600*ln2^3*sinf^2*z3 - 33600*ln2^2*sinf^3*z3 - 
    16800*ln2*sinf^4*z3 + 145600*ln2^3*z2*z3 + 470400*ln2^2*sinf*z2*z3 + 
    201600*ln2*sinf^2*z2*z3 + 25200*sinf^3*z2*z3 + 57120*ln2*z2^2*z3 + 
    231840*sinf*z2^2*z3 - 67200*ln2^2*z3^2 - 386400*ln2*sinf*z3^2 + 
    126000*sinf^2*z3^2 - 982800*z2*z3^2 - 195300*ln2^2*sinf*z5 - 
    321300*sinf^3*z5 + 2507400*sinf*z2*z5 + 823725*z3*z5 - 2594025*sinf*z7)/
   403200, H[1, 1, 1, 1, -1, -1, 0, -1, 1] -> 
  (84672000*li4half^2 + 1185408000*li8half + 56448000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 168000*ln2^8 + 
    68544000*ln2^2*s6 + 14112000*ln2*s7a + 14112000*ln2*s7b + 94896900*s8a + 
    1363824000*s8b - 24192000*s8c + 235872000*s8d - 790272000*li7half*sinf + 
    56448000*li6half*ln2*sinf + 28224000*li5half*ln2^2*sinf - 
    28224000*li4half*ln2^3*sinf - 1176000*ln2^7*sinf + 
    362880000*ln2*s6*sinf - 221760000*s7a*sinf - 66528000*s7b*sinf + 
    310464000*li6half*sinf^2 + 28224000*li5half*ln2*sinf^2 - 
    42336000*li4half*ln2^2*sinf^2 - 1568000*ln2^6*sinf^2 + 
    119952000*s6*sinf^2 - 37632000*li5half*sinf^3 - 
    28224000*li4half*ln2*sinf^3 - 862400*ln2^5*sinf^3 - 
    7056000*li4half*sinf^4 - 294000*ln2^4*sinf^4 - 395136000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 3253600*ln2^6*z2 - 
    782208000*s6*z2 + 112896000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*
     z2 + 11995200*ln2^5*sinf*z2 + 84672000*li4half*sinf^2*z2 + 
    11760000*ln2^4*sinf^2*z2 + 5488000*ln2^3*sinf^3*z2 + 
    2352000*ln2^2*sinf^4*z2 + 604800*li4half*z2^2 - 26258400*ln2^4*z2^2 - 
    71030400*ln2^3*sinf*z2^2 - 51861600*ln2^2*sinf^2*z2^2 - 
    2822400*ln2*sinf^3*z2^2 + 2822400*sinf^4*z2^2 - 32558400*ln2^2*z2^3 - 
    157500000*ln2*sinf*z2^3 - 65923200*sinf^2*z2^3 - 83525616*z2^4 - 
    532896000*li5half*z3 - 56448000*li4half*ln2*z3 + 736400*ln2^5*z3 - 
    204624000*li4half*sinf*z3 - 15288000*ln2^4*sinf*z3 - 
    13524000*ln2^3*sinf^2*z3 - 13524000*ln2^2*sinf^3*z3 - 
    6762000*ln2*sinf^4*z3 + 4592000*ln2^3*z2*z3 + 151116000*ln2^2*sinf*z2*
     z3 + 95256000*ln2*sinf^2*z2*z3 + 14112000*sinf^3*z2*z3 - 
    151930800*ln2*z2^2*z3 + 117558000*sinf*z2^2*z3 + 6121500*ln2^2*z3^2 - 
    307041000*ln2*sinf*z3^2 - 85113000*sinf^2*z3^2 + 81427500*z2*z3^2 + 
    4557000*ln2^3*z5 - 136710000*ln2^2*sinf*z5 + 13671000*ln2*sinf^2*z5 + 
    10290000*sinf^3*z5 + 32004000*ln2*z2*z5 + 146916000*sinf*z2*z5 + 
    139571250*z3*z5 + 343483875*ln2*z7 + 65149875*sinf*z7)/56448000, 
 H[1, 1, 1, 1, -1, -1, -1, 1, 1] -> 
  (-11289600*li8half - 10080*ln2^8 + 15926400*ln2^2*s6 - 35470575*s8a - 
    160574400*s8b - 31852800*s8c + 3628800*s8d + 33868800*li7half*sinf - 
    51520*ln2^7*sinf - 2016000*ln2*s6*sinf + 2016000*s7a*sinf - 
    31852800*s7b*sinf - 16934400*li6half*sinf^2 - 101920*ln2^6*sinf^2 - 
    16934400*s6*sinf^2 + 3763200*li5half*sinf^3 - 94080*ln2^5*sinf^3 - 
    470400*li4half*sinf^4 - 39200*ln2^4*sinf^4 + 16934400*li6half*z2 + 
    266560*ln2^6*z2 + 23788800*s6*z2 - 11289600*li5half*sinf*z2 + 
    893760*ln2^5*sinf*z2 + 2822400*li4half*sinf^2*z2 + 
    1058400*ln2^4*sinf^2*z2 + 470400*ln2^3*sinf^3*z2 + 
    117600*ln2^2*sinf^4*z2 + 443520*li4half*z2^2 + 265440*ln2^4*z2^2 + 
    1881600*ln2^3*sinf*z2^2 + 2822400*ln2^2*sinf^2*z2^2 + 
    1505280*ln2*sinf^3*z2^2 + 188160*sinf^4*z2^2 - 5181120*ln2^2*z2^3 - 
    3074400*ln2*sinf*z2^3 + 1451520*sinf^2*z2^3 - 7112808*z2^4 + 
    268800*li5half*z3 - 1150800*ln2^5*z3 - 3763200*li4half*sinf*z3 - 
    3547600*ln2^4*sinf*z3 - 3645600*ln2^3*sinf^2*z3 - 
    1764000*ln2^2*sinf^3*z3 - 411600*ln2*sinf^4*z3 + 11390400*ln2^3*z2*z3 + 
    19992000*ln2^2*sinf*z2*z3 + 10584000*ln2*sinf^2*z2*z3 + 
    1764000*sinf^3*z2*z3 + 29039640*ln2*z2^2*z3 + 20364960*sinf*z2^2*z3 - 
    1871100*ln2^2*z3^2 - 772800*ln2*sinf*z3^2 - 396900*sinf^2*z3^2 + 
    34209000*z2*z3^2 - 9408000*ln2^3*z5 + 21520800*ln2^2*sinf*z5 - 
    7232400*sinf^3*z5 + 118137600*ln2*z2*z5 + 127612800*sinf*z2*z5 - 
    45638775*z3*z5 - 271323675*sinf*z7)/11289600, 
 H[1, 1, 1, 1, -1, -1, -1, 0, 1] -> 
  (-10080000*li8half - 250*ln2^8 - 1055250*s8a - 11088000*s8b - 2016000*s8d + 
    5644800*li7half*sinf - 1120*ln2^7*sinf - 1411200*ln2*s6*sinf + 
    1411200*s7a*sinf - 1209600*li6half*sinf^2 - 1680*ln2^6*sinf^2 - 
    302400*s6*sinf^2 + 67200*li5half*sinf^3 - 560*ln2^5*sinf^3 + 
    16800*li4half*sinf^4 + 700*ln2^4*sinf^4 + 1209600*li6half*z2 - 
    1120*ln2^6*z2 + 5342400*s6*z2 + 201600*li5half*sinf*z2 - 
    15120*ln2^5*sinf*z2 - 302400*li4half*sinf^2*z2 - 37800*ln2^4*sinf^2*z2 - 
    22400*ln2^3*sinf^3*z2 - 8400*ln2^2*sinf^4*z2 - 352800*li4half*z2^2 + 
    86100*ln2^4*z2^2 + 299040*ln2^3*sinf*z2^2 + 257040*ln2^2*sinf^2*z2^2 + 
    20160*ln2*sinf^3*z2^2 - 6720*sinf^4*z2^2 + 207360*ln2^2*z2^3 + 
    826560*ln2*sinf*z2^3 + 246240*sinf^2*z2^3 + 1028808*z2^4 + 
    3763200*li5half*z3 - 28000*ln2^5*z3 + 537600*li4half*sinf*z3 + 
    39200*ln2^4*sinf*z3 + 33600*ln2^3*sinf^2*z3 + 33600*ln2^2*sinf^3*z3 + 
    16800*ln2*sinf^4*z3 - 145600*ln2^3*z2*z3 - 1075200*ln2^2*sinf*z2*z3 - 
    604800*ln2*sinf^2*z2*z3 - 67200*sinf^3*z2*z3 + 1118880*ln2*z2^2*z3 - 
    406560*sinf*z2^2*z3 + 67200*ln2^2*z3^2 + 1898400*ln2*sinf*z3^2 + 
    378000*sinf^2*z3^2 - 310800*z2*z3^2 + 1367100*ln2^2*sinf*z5 + 
    63000*sinf^3*z5 - 1411200*ln2*z2*z5 - 1341900*sinf*z2*z5 - 286650*z3*z5 - 
    1781325*sinf*z7)/403200, H[1, 1, 1, 1, -1, -1, -1, -1, 1] -> 
  (350*ln2^8 - 806400*li7half*sinf + 1760*ln2^7*sinf + 201600*ln2*s6*sinf - 
    201600*s7a*sinf + 403200*li6half*sinf^2 + 3360*ln2^6*sinf^2 + 
    100800*s6*sinf^2 - 67200*li5half*sinf^3 + 2800*ln2^5*sinf^3 + 
    700*ln2^4*sinf^4 - 403200*li6half*z2 - 8960*ln2^6*z2 - 100800*s6*z2 + 
    201600*li5half*sinf*z2 - 28560*ln2^5*sinf*z2 - 29400*ln2^4*sinf^2*z2 - 
    11200*ln2^3*sinf^3*z2 - 6300*ln2^4*z2^2 - 57120*ln2^3*sinf*z2^2 - 
    85680*ln2^2*sinf^2*z2^2 - 26880*ln2*sinf^3*z2^2 - 15120*ln2^2*z2^3 - 
    135360*ln2*sinf*z2^3 - 74880*sinf^2*z2^3 + 3024*z2^4 - 
    134400*li5half*z3 + 39200*ln2^5*z3 + 106400*ln2^4*sinf*z3 + 
    100800*ln2^3*sinf^2*z3 + 33600*ln2^2*sinf^3*z3 - 324800*ln2^3*z2*z3 - 
    403200*ln2^2*sinf*z2*z3 - 100800*ln2*sinf^2*z2*z3 - 154560*ln2*z2^2*z3 - 
    30240*sinf*z2^2*z3 + 369600*ln2^2*z3^2 + 151200*ln2*sinf*z3^2 - 
    25200*sinf^2*z3^2 - 176400*z2*z3^2 + 470400*ln2^3*z5 + 
    611100*ln2^2*sinf*z5 + 403200*ln2*sinf^2*z5 + 67200*sinf^3*z5 - 
    1209600*ln2*z2*z5 - 611100*sinf*z2*z5 + 940800*z3*z5 + 2016000*ln2*z7 + 
    1406475*sinf*z7)/403200, H[1, 1, 1, 0, 1, 1, 1, 1, 1] -> 
  (-120*sinf^2*z2^3 - 888*z2^4 + 35*sinf^3*z5 - 105*sinf*z2*z5 + 70*z3*z5 + 
    3150*sinf*z7)/210, H[1, 1, 1, 0, 1, 1, 1, 0, 1] -> 
  (590*sinf^2*z2^3 + 1966*z2^4 + 175*sinf^3*z2*z3 + 735*sinf*z2^2*z3 - 
    525*sinf^2*z3^2 + 875*z2*z3^2 - 525*sinf^3*z5 + 5775*sinf*z2*z5 - 
    5250*z3*z5 - 18900*sinf*z7)/1050, H[1, 1, 1, 0, 1, 1, 1, -1, 1] -> 
  (28224000*li4half^2 - 1975680000*li8half - 1128960000*li7half*ln2 - 
    282240000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 47600*ln2^8 + 
    12096000*ln2^2*s6 - 110388600*s8a - 1324512000*s8b - 24192000*s8c - 
    116928000*s8d - 1128960000*li7half*sinf - 564480000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf - 
    11200*ln2^7*sinf + 104832000*ln2*s6*sinf - 104832000*s7a*sinf + 
    106848000*s7b*sinf - 169344000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 - 14112000*li4half*ln2^2*sinf^2 + 
    117600*ln2^6*sinf^2 - 63504000*s6*sinf^2 - 18816000*li5half*sinf^3 - 
    9408000*li4half*ln2*sinf^3 - 235200*ln2^5*sinf^3 + 451584000*li6half*z2 + 
    225792000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 666400*ln2^6*z2 + 
    367920000*s6*z2 + 169344000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*
     z2 + 940800*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 - 
    1764000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 - 
    37497600*li4half*z2^2 + 2553600*ln2^4*z2^2 + 3057600*ln2^3*sinf*z2^2 - 
    20109600*ln2^2*sinf^2*z2^2 - 470400*ln2*sinf^3*z2^2 - 
    51660000*ln2^2*z2^3 + 71719200*ln2*sinf*z2^3 + 35481600*sinf^2*z2^3 + 
    134434224*z2^4 - 1344000*li5half*z3 - 18816000*li4half*ln2*z3 - 
    772800*ln2^5*z3 - 49392000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 + 
    9296000*ln2^3*z2*z3 + 12348000*ln2^2*sinf*z2*z3 + 8232000*sinf^3*z2*z3 + 
    25821600*ln2*z2^2*z3 + 22377600*sinf*z2^2*z3 + 3402000*ln2^2*z3^2 - 
    131040000*ln2*sinf*z3^2 - 882000*sinf^2*z3^2 + 68124000*z2*z3^2 - 
    205065000*ln2^2*sinf*z5 - 294000*sinf^3*z5 + 72576000*ln2*z2*z5 - 
    319599000*sinf*z2*z5 + 258531000*z3*z5 + 1072551375*sinf*z7)/56448000, 
 H[1, 1, 1, 0, 1, 1, 0, 1, 1] -> (1200*s8a - 180*sinf^2*z2^3 - 804*z2^4 - 
    100*sinf^3*z2*z3 - 420*sinf*z2^2*z3 + 300*sinf^2*z3^2 - 500*z2*z3^2 + 
    225*sinf^3*z5 + 1125*sinf*z2*z5 + 2850*z3*z5 + 900*sinf*z7)/300, 
 H[1, 1, 1, 0, 1, 1, 0, 0, 1] -> (-10500*s8a - 850*sinf^2*z2^3 + 1762*z2^4 + 
    700*sinf^3*z2*z3 + 2520*sinf*z2^2*z3 - 1050*sinf^2*z3^2 + 350*z2*z3^2 - 
    350*sinf^3*z5 - 17850*sinf*z2*z5 - 9100*z3*z5 + 32025*sinf*z7)/4200, 
 H[1, 1, 1, 0, 1, 1, 0, -1, 1] -> (17472000*ln2^2*s6 - 34944000*ln2*s7a + 
    35616000*ln2*s7b - 60798675*s8a - 515256000*s8b - 35616000*s8c - 
    34944000*s8d - 35616000*ln2*s6*sinf - 34944000*s7a*sinf + 
    35616000*s7b*sinf - 35280000*s6*sinf^2 + 175728000*s6*z2 - 
    6988800*li4half*z2^2 - 291200*ln2^4*z2^2 - 5241600*ln2^2*z2^3 + 
    6232800*ln2*sinf*z2^3 - 11944800*sinf^2*z2^3 - 41747688*z2^4 + 
    69888000*li5half*z3 - 582400*ln2^5*z3 + 5824000*ln2^3*z2*z3 - 
    588000*sinf^3*z2*z3 + 35334600*ln2*z2^2*z3 - 18471600*sinf*z2^2*z3 - 
    21840000*ln2^2*z3^2 - 10017000*ln2*sinf*z3^2 + 16537500*sinf^2*z3^2 + 
    5911500*z2*z3^2 - 45570000*ln2^3*z5 + 68355000*ln2*sinf^2*z5 + 
    2597000*sinf^3*z5 - 136689000*ln2*z2*z5 - 126525000*sinf*z2*z5 + 
    122350375*z3*z5 + 639757125*ln2*z7 + 275270625*sinf*z7)/18816000, 
 H[1, 1, 1, 0, 1, 1, -1, 1, 1] -> (254016000*li4half^2 + 1185408000*li8half - 
    282240000*li6half*ln2^2 - 112896000*li5half*ln2^3 + 137200*ln2^8 - 
    177408000*ln2^2*s6 + 597309300*s8a + 2209536000*s8b + 354816000*s8c + 
    68544000*s8d + 846720000*li7half*sinf - 169344000*li5half*ln2^2*sinf - 
    56448000*li4half*ln2^3*sinf - 1108800*ln2^7*sinf + 36288000*ln2*s6*sinf - 
    36288000*s7a*sinf - 247968000*s7b*sinf - 56448000*li6half*sinf^2 - 
    42336000*li4half*ln2^2*sinf^2 - 1842400*ln2^6*sinf^2 - 
    21168000*s6*sinf^2 + 37632000*li5half*sinf^3 - 313600*ln2^5*sinf^3 + 
    338688000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 352800*ln2^6*z2 - 327600000*s6*z2 + 
    56448000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    10113600*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 + 
    13524000*ln2^4*sinf^2*z2 - 3920000*ln2^3*sinf^3*z2 - 
    28627200*li4half*z2^2 - 6484800*ln2^4*z2^2 - 46804800*ln2^3*sinf*z2^2 + 
    8820000*ln2^2*sinf^2*z2^2 + 12465600*ln2*sinf^3*z2^2 + 
    84520800*ln2^2*z2^3 + 64360800*ln2*sinf*z2^3 - 29030400*sinf^2*z2^3 - 
    207377712*z2^4 - 654528000*li5half*z3 + 3808000*ln2^5*z3 - 
    296352000*li4half*sinf*z3 - 18522000*ln2^4*sinf*z3 - 
    8232000*ln2^3*sinf^2*z3 - 4116000*ln2^2*sinf^3*z3 - 
    43960000*ln2^3*z2*z3 + 123480000*ln2^2*sinf*z2*z3 + 
    24696000*ln2*sinf^2*z2*z3 - 20580000*sinf^3*z2*z3 - 
    392280000*ln2*z2^2*z3 + 121917600*sinf*z2^2*z3 - 58128000*ln2^2*z3^2 - 
    45360000*ln2*sinf*z3^2 + 60417000*sinf^2*z3^2 - 434721000*z2*z3^2 + 
    205065000*ln2^2*sinf*z5 + 4263000*sinf^3*z5 - 1064448000*ln2*z2*z5 + 
    722232000*sinf*z2*z5 + 963196500*z3*z5 - 2000305125*sinf*z7)/56448000, 
 H[1, 1, 1, 0, 1, 1, -1, 0, 1] -> 
  (-10160640*li4half^2 - 846720*li4half*ln2^4 - 17640*ln2^8 + 
    2943360*ln2^2*s6 - 9376605*s8a + 9051840*s8b - 5886720*s8c + 
    5886720*s8d - 8870400*ln2*s6*sinf + 8870400*s7a*sinf + 967680*s7b*sinf + 
    282240*s6*sinf^2 - 1505280*li5half*sinf^3 + 12544*ln2^5*sinf^3 - 
    33868800*li6half*z2 - 20321280*li5half*ln2*z2 + 122304*ln2^6*z2 - 
    20522880*s6*z2 - 6773760*li5half*sinf*z2 - 10160640*li4half*ln2*sinf*z2 - 
    366912*ln2^5*sinf*z2 - 2822400*li4half*sinf^2*z2 - 
    117600*ln2^4*sinf^2*z2 - 125440*ln2^3*sinf^3*z2 + 6822144*li4half*z2^2 - 
    68544*ln2^4*z2^2 + 1975680*ln2^3*sinf*z2^2 + 1340640*ln2^2*sinf^2*z2^2 - 
    498624*ln2*sinf^3*z2^2 - 657216*ln2^2*z2^3 - 1761984*ln2*sinf*z2^3 + 
    1481088*sinf^2*z2^3 + 6908136*z2^4 + 11746560*li5half*z3 - 
    97888*ln2^5*z3 + 13265280*li4half*sinf*z3 + 552720*ln2^4*sinf*z3 + 
    484960*ln2^3*z2*z3 - 4798080*ln2^2*sinf*z2*z3 - 
    1481760*ln2*sinf^2*z2*z3 + 446880*sinf^3*z2*z3 + 7293048*ln2*z2^2*z3 - 
    3326400*sinf*z2^2*z3 + 827820*ln2^2*z3^2 + 11088000*ln2*sinf*z3^2 - 
    1137780*sinf^2*z3^2 + 8113560*z2*z3^2 + 7655760*ln2^2*sinf*z5 + 
    582120*sinf^3*z5 + 17660160*ln2*z2*z5 - 3530520*sinf*z2*z5 - 
    28894005*z3*z5 + 18233460*sinf*z7)/2257920, 
 H[1, 1, 1, 0, 1, 1, -1, -1, 1] -> (-84672000*li4half^2 + 225792000*li8half + 
    903168000*li7half*ln2 + 564480000*li6half*ln2^2 + 
    169344000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 228200*ln2^8 + 
    80640000*ln2^2*s6 + 40320000*ln2*s7a + 54432000*ln2*s7b - 315400050*s8a - 
    1412208000*s8b - 241920000*s8c - 40320000*s8d + 56448000*li7half*sinf + 
    564480000*li6half*ln2*sinf + 338688000*li5half*ln2^2*sinf + 
    84672000*li4half*ln2^3*sinf + 1478400*ln2^7*sinf + 68544000*ln2*s6*sinf - 
    68544000*s7a*sinf + 199584000*s7b*sinf + 225792000*li6half*sinf^2 + 
    169344000*li5half*ln2*sinf^2 + 84672000*li4half*ln2^2*sinf^2 + 
    2430400*ln2^6*sinf^2 + 35280000*s6*sinf^2 + 37632000*li5half*sinf^3 + 
    28224000*li4half*ln2*sinf^3 + 862400*ln2^5*sinf^3 - 
    508032000*li6half*z2 - 508032000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 4625600*ln2^6*z2 + 186480000*s6*z2 - 
    282240000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*z2 - 
    12700800*ln2^5*sinf*z2 - 42336000*li4half*sinf^2*z2 - 
    13524000*ln2^4*sinf^2*z2 + 784000*ln2^3*sinf^3*z2 + 
    25804800*li4half*z2^2 + 16951200*ln2^4*z2^2 + 46099200*ln2^3*sinf*z2^2 - 
    6703200*ln2^2*sinf^2*z2^2 + 3998400*ln2*sinf^3*z2^2 - 
    71870400*ln2^2*z2^3 - 38052000*ln2*sinf*z2^3 - 27720000*sinf^2*z2^3 - 
    9354888*z2^4 + 494592000*li5half*z3 + 225792000*li4half*ln2*z3 + 
    6932800*ln2^5*z3 + 169344000*li4half*sinf*z3 + 13230000*ln2^4*sinf*z3 + 
    8232000*ln2^3*sinf^2*z3 + 4116000*ln2^2*sinf^3*z3 - 
    26404000*ln2^3*z2*z3 - 79380000*ln2^2*sinf*z2*z3 - 
    12348000*ln2*sinf^2*z2*z3 + 1764000*sinf^3*z2*z3 + 
    208992000*ln2*z2^2*z3 - 118414800*sinf*z2^2*z3 + 106543500*ln2^2*z3^2 - 
    57897000*ln2*sinf*z3^2 - 16317000*sinf^2*z3^2 + 231493500*z2*z3^2 - 
    27342000*ln2^3*z5 - 300762000*ln2^2*sinf*z5 - 41013000*ln2*sinf^2*z5 - 
    40719000*sinf^3*z5 + 647451000*ln2*z2*z5 - 431487000*sinf*z2*z5 - 
    408786000*z3*z5 + 370526625*ln2*z7 + 1151805375*sinf*z7)/56448000, 
 H[1, 1, 1, 0, 1, 0, 1, 1, 1] -> (-8400*s8a + 1200*sinf^2*z2^3 + 7944*z2^4 + 
    1050*sinf^3*z2*z3 + 9450*sinf*z2^2*z3 - 4200*sinf^2*z3^2 + 6300*z2*z3^2 - 
    1925*sinf^3*z5 + 5775*sinf*z2*z5 - 54250*z3*z5 - 37800*sinf*z7)/2100, 
 H[1, 1, 1, 0, 1, 0, 1, 0, 1] -> (75600*s8a - 9300*sinf^2*z2^3 - 63804*z2^4 - 
    14000*sinf^3*z2*z3 - 117600*sinf*z2^2*z3 + 84000*sinf^2*z3^2 - 
    196000*z2*z3^2 + 14000*sinf^3*z5 - 126000*sinf*z2*z5 + 826000*z3*z5 + 
    412125*sinf*z7)/42000, H[1, 1, 1, 0, 1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 + 564480000*li8half + 451584000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 56000*ln2^8 + 
    104328000*ln2^2*s6 - 68544000*ln2*s7a - 26208000*ln2*s7b - 50327550*s8a - 
    258048000*s8b - 50400000*s8c - 55440000*s8d + 451584000*li7half*sinf + 
    338688000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 224000*ln2^7*sinf - 3024000*ln2*s6*sinf + 
    24192000*s7a*sinf + 66528000*s7b*sinf + 169344000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    470400*ln2^6*sinf^2 + 67032000*s6*sinf^2 + 37632000*li5half*sinf^3 + 
    18816000*li4half*ln2*sinf^3 + 470400*ln2^5*sinf^3 - 
    338688000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 86184000*s6*z2 - 
    225792000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    3292800*ln2^5*sinf*z2 - 28224000*li4half*sinf^2*z2 - 
    2352000*ln2^4*sinf^2*z2 - 1568000*ln2^3*sinf^3*z2 + 
    17136000*li4half*z2^2 - 462000*ln2^4*z2^2 + 9408000*ln2^3*sinf*z2^2 + 
    7056000*ln2^2*sinf^2*z2^2 + 9760800*ln2*sinf^3*z2^2 - 
    28778400*ln2^2*z2^3 + 21621600*ln2*sinf*z2^3 - 16657200*sinf^2*z2^3 - 
    6613308*z2^4 + 383712000*li5half*z3 + 37632000*li4half*ln2*z3 - 
    1629600*ln2^5*z3 + 98784000*li4half*sinf*z3 + 4116000*ln2^4*sinf*z3 + 
    22568000*ln2^3*z2*z3 - 24696000*ln2^2*sinf*z2*z3 - 
    42336000*ln2*sinf^2*z2*z3 - 4116000*sinf^3*z2*z3 + 
    130615800*ln2*z2^2*z3 - 98506800*sinf*z2^2*z3 - 56322000*ln2^2*z3^2 + 
    74781000*ln2*sinf*z3^2 + 1984500*sinf^2*z3^2 + 26260500*z2*z3^2 - 
    68355000*ln2^3*z5 - 123039000*ln2^2*sinf*z5 - 82026000*ln2*sinf^2*z5 - 
    33369000*sinf^3*z5 + 221571000*ln2*z2*z5 - 14616000*sinf*z2*z5 - 
    286970250*z3*z5 - 356524875*ln2*z7 + 71394750*sinf*z7)/28224000, 
 H[1, 1, 1, 0, 1, 0, 0, 1, 1] -> (8400*s8a - 7150*sinf^2*z2^3 - 29866*z2^4 - 
    7000*sinf^3*z2*z3 - 8400*sinf*z2^2*z3 + 10500*sinf^2*z3^2 - 
    45500*z2*z3^2 + 15750*sinf^3*z5 - 162750*sinf*z2*z5 + 220500*z3*z5 + 
    343875*sinf*z7)/21000, H[1, 1, 1, 0, 1, 0, 0, 0, 1] -> 
  (25200*s8a + 14800*sinf^2*z2^3 + 18262*z2^4 + 42000*sinf*z2^2*z3 - 
    21000*sinf^2*z3^2 + 105000*z2*z3^2 - 28000*sinf^3*z5 + 
    315000*sinf*z2*z5 - 392000*z3*z5 - 580125*sinf*z7)/42000, 
 H[1, 1, 1, 0, 1, 0, 0, -1, 1] -> (-2016000*ln2^2*s6 + 4032000*ln2*s7a - 
    672000*ln2*s7b + 2933175*s8a + 31416000*s8b + 672000*s8c + 4032000*s8d + 
    672000*ln2*s6*sinf + 4032000*s7a*sinf - 672000*s7b*sinf + 
    2352000*s6*sinf^2 - 15120000*s6*z2 + 806400*li4half*z2^2 + 
    33600*ln2^4*z2^2 + 604800*ln2^2*z2^3 - 117600*ln2*sinf*z2^3 + 
    546400*sinf^2*z2^3 + 794488*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 
    672000*ln2^3*z2*z3 + 28000*sinf^3*z2*z3 - 3196200*ln2*z2^2*z3 + 
    1839600*sinf*z2^2*z3 + 2520000*ln2^2*z3^2 + 189000*ln2*sinf*z3^2 - 
    1627500*sinf^2*z3^2 + 1830500*z2*z3^2 + 3038000*ln2^3*z5 - 
    4557000*ln2*sinf^2*z5 + 77000*sinf^3*z5 + 9219000*ln2*z2*z5 + 
    2751000*sinf*z2*z5 - 7067375*z3*z5 - 24950625*ln2*z7 - 4286625*sinf*z7)/
   1344000, H[1, 1, 1, 0, 1, 0, -1, 1, 1] -> 
  (-169344000*li4half^2 - 112896000*li8half + 56448000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 56000*ln2^8 - 70056000*ln2^2*s6 + 21257775*s8a + 
    154728000*s8b + 76608000*s8c - 13104000*s8d - 112896000*li7half*sinf + 
    56448000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    1120000*ln2^7*sinf - 119952000*ln2*s6*sinf + 119952000*s7a*sinf + 
    56448000*s7b*sinf - 56448000*li6half*sinf^2 + 28224000*li4half*ln2^2*
     sinf^2 + 1097600*ln2^6*sinf^2 - 24696000*s6*sinf^2 - 
    18816000*li5half*sinf^3 + 156800*ln2^5*sinf^3 - 
    112896000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1724800*ln2^6*z2 + 
    50904000*s6*z2 - 112896000*li4half*ln2*sinf*z2 - 9878400*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 7056000*ln2^4*sinf^2*z2 - 
    1568000*ln2^3*sinf^3*z2 + 25603200*li4half*z2^2 + 9298800*ln2^4*z2^2 + 
    28224000*ln2^3*sinf*z2^2 + 7056000*ln2^2*sinf^2*z2^2 - 
    9760800*ln2*sinf^3*z2^2 + 4384800*ln2^2*z2^3 - 100800*ln2*sinf*z2^3 + 
    14842800*sinf^2*z2^3 + 35520084*z2^4 + 186144000*li5half*z3 + 
    1741600*ln2^5*z3 + 197568000*li4half*sinf*z3 + 20580000*ln2^4*sinf*z3 + 
    16464000*ln2^3*sinf^2*z3 + 8232000*ln2^2*sinf^3*z3 - 
    33880000*ln2^3*z2*z3 - 148176000*ln2^2*sinf*z2*z3 - 
    7056000*ln2*sinf^2*z2*z3 + 2352000*sinf^3*z2*z3 - 36531600*ln2*z2^2*z3 - 
    81496800*sinf*z2^2*z3 + 29946000*ln2^2*z3^2 + 149940000*ln2*sinf*z3^2 - 
    2205000*sinf^2*z3^2 - 82299000*z2*z3^2 + 41013000*ln2^3*z5 + 
    123039000*ln2^2*sinf*z5 + 19036500*sinf^3*z5 - 183519000*ln2*z2*z5 - 
    282460500*sinf*z2*z5 - 66672375*z3*z5 + 769820625*sinf*z7)/28224000, 
 H[1, 1, 1, 0, 1, 0, -1, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 + 2248575*s8a + 8064000*ln2*s6*sinf - 8064000*s7a*sinf - 
    8064000*s7b*sinf + 8064000*li6half*z2 + 8064000*li5half*ln2*z2 - 
    56000*ln2^6*z2 - 4536000*s6*z2 + 8064000*li5half*sinf*z2 + 
    8064000*li4half*ln2*sinf*z2 + 268800*ln2^5*sinf*z2 + 
    4032000*li4half*sinf^2*z2 + 168000*ln2^4*sinf^2*z2 - 
    4838400*li4half*z2^2 - 201600*ln2^4*z2^2 - 1344000*ln2^3*sinf*z2^2 - 
    1008000*ln2^2*sinf^2*z2^2 + 1209600*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 - 
    1146000*sinf^2*z2^3 - 1917948*z2^4 - 14112000*li5half*z3 + 
    117600*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 
    7056000*ln2^2*sinf*z2*z3 + 3528000*ln2*sinf^2*z2*z3 + 
    56000*sinf^3*z2*z3 - 4233600*ln2*z2^2*z3 + 6585600*sinf*z2^2*z3 - 
    10080000*ln2*sinf*z3^2 + 105000*sinf^2*z3^2 + 3514000*z2*z3^2 - 
    448000*sinf^3*z5 + 8788500*ln2*z2*z5 + 26092500*sinf*z2*z5 + 
    10759000*z3*z5 - 68446875*sinf*z7)/1344000, 
 H[1, 1, 1, 0, 1, 0, -1, -1, 1] -> (112896000*li4half^2 - 903168000*li8half - 
    903168000*li7half*ln2 - 451584000*li6half*ln2^2 - 
    150528000*li5half*ln2^3 - 28224000*li4half*ln2^4 - 588000*ln2^8 - 
    18144000*ln2^2*s6 + 36288000*ln2*s7a - 147168000*ln2*s7b + 
    181869975*s8a + 676872000*s8b + 147168000*s8c + 36288000*s8d - 
    677376000*li7half*sinf - 677376000*li6half*ln2*sinf - 
    338688000*li5half*ln2^2*sinf - 112896000*li4half*ln2^3*sinf - 
    2688000*ln2^7*sinf + 106848000*ln2*s6*sinf - 50400000*s7a*sinf - 
    106848000*s7b*sinf - 225792000*li6half*sinf^2 - 
    225792000*li5half*ln2*sinf^2 - 112896000*li4half*ln2^2*sinf^2 - 
    3136000*ln2^6*sinf^2 - 35280000*s6*sinf^2 - 37632000*li5half*sinf^3 - 
    37632000*li4half*ln2*sinf^3 - 1254400*ln2^5*sinf^3 + 
    564480000*li6half*z2 + 564480000*li5half*ln2*z2 + 
    225792000*li4half*ln2^2*z2 + 8624000*ln2^6*z2 - 157248000*s6*z2 + 
    338688000*li5half*sinf*z2 + 338688000*li4half*ln2*sinf*z2 + 
    22579200*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    16464000*ln2^4*sinf^2*z2 + 6272000*ln2^3*sinf^3*z2 - 
    37900800*li4half*z2^2 - 29803200*ln2^4*z2^2 - 56448000*ln2^3*sinf*z2^2 - 
    14112000*ln2^2*sinf^2*z2^2 + 16732800*ln2^2*z2^3 - 
    18698400*ln2*sinf*z2^3 + 27014400*sinf^2*z2^3 + 25803216*z2^4 - 
    571200000*li5half*z3 - 301056000*li4half*ln2*z3 - 14369600*ln2^5*z3 - 
    225792000*li4half*sinf*z3 - 34104000*ln2^4*sinf*z3 - 
    32928000*ln2^3*sinf^2*z3 - 16464000*ln2^2*sinf^3*z3 + 
    109984000*ln2^3*z2*z3 + 204624000*ln2^2*sinf*z2*z3 + 
    49392000*ln2*sinf^2*z2*z3 + 4116000*sinf^3*z2*z3 - 
    104441400*ln2*z2^2*z3 + 138675600*sinf*z2^2*z3 - 109032000*ln2^2*z3^2 - 
    167517000*ln2*sinf*z3^2 - 5512500*sinf^2*z3^2 - 74140500*z2*z3^2 + 
    118482000*ln2^3*z5 + 68355000*ln2*sinf^2*z5 + 30282000*sinf^3*z5 - 
    17136000*ln2*z2*z5 + 156429000*sinf*z2*z5 + 442351875*z3*z5 - 
    728823375*ln2*z7 - 291430125*sinf*z7)/56448000, 
 H[1, 1, 1, 0, 1, -1, 1, 1, 1] -> (254016000*li4half^2 - 395136000*li8half - 
    37632000*li5half*ln2^3 - 137200*ln2^8 + 177408000*ln2^2*s6 - 
    597309300*s8a - 2209536000*s8b - 354816000*s8c - 68544000*s8d - 
    338688000*li7half*sinf - 28224000*li4half*ln2^3*sinf - 
    1108800*ln2^7*sinf + 36288000*ln2*s6*sinf - 36288000*s7a*sinf - 
    247968000*s7b*sinf + 197568000*li6half*sinf^2 + 274400*ln2^6*sinf^2 + 
    21168000*s6*sinf^2 - 56448000*li5half*sinf^3 + 470400*ln2^5*sinf^3 - 
    197568000*li6half*z2 + 112896000*li5half*ln2*z2 + 1215200*ln2^6*z2 + 
    327600000*s6*z2 + 169344000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 7761600*ln2^5*sinf*z2 - 4116000*ln2^4*sinf^2*z2 + 
    2352000*ln2^3*sinf^3*z2 - 13708800*li4half*z2^2 - 2923200*ln2^4*z2^2 + 
    2116800*ln2^3*sinf*z2^2 + 10936800*ln2^2*sinf^2*z2^2 - 
    13406400*ln2*sinf^3*z2^2 + 24746400*ln2^2*z2^3 - 61236000*ln2*sinf*z2^3 - 
    4838400*sinf^2*z2^3 + 112222512*z2^4 - 173376000*li5half*z3 - 
    3494400*ln2^5*z3 - 148176000*li4half*sinf*z3 - 18522000*ln2^4*sinf*z3 - 
    8232000*ln2^3*sinf^2*z3 + 57288000*ln2^3*z2*z3 + 
    111132000*ln2^2*sinf*z2*z3 + 24696000*ln2*sinf^2*z2*z3 + 
    24696000*sinf^3*z2*z3 + 341006400*ln2*z2^2*z3 + 341712000*sinf*z2^2*z3 + 
    49896000*ln2^2*z3^2 - 45360000*ln2*sinf*z3^2 - 103635000*sinf^2*z3^2 + 
    486171000*z2*z3^2 + 205065000*ln2^2*sinf*z5 + 4263000*sinf^3*z5 + 
    1064448000*ln2*z2*z5 + 722232000*sinf*z2*z5 - 946144500*z3*z5 - 
    2000305125*sinf*z7)/56448000, H[1, 1, 1, 0, 1, -1, 1, 0, 1] -> 
  (-25401600*li4half^2 - 2116800*li4half*ln2^4 - 44100*ln2^8 - 
    2016000*ln2^2*s6 + 12209400*s8a + 47880000*s8b + 4032000*s8c - 
    4032000*s8d + 8467200*ln2*s6*sinf - 8467200*s7a*sinf + 
    31046400*s7b*sinf + 14112000*s6*sinf^2 + 7526400*li5half*sinf^3 - 
    62720*ln2^5*sinf^3 + 28224000*li6half*z2 - 11289600*li5half*ln2*z2 - 
    4233600*li4half*ln2^2*z2 - 43120*ln2^6*z2 - 6048000*s6*z2 - 
    45158400*li5half*sinf*z2 - 8467200*li4half*ln2*sinf*z2 + 
    23520*ln2^5*sinf*z2 + 8467200*li4half*sinf^2*z2 + 
    352800*ln2^4*sinf^2*z2 + 627200*ln2^3*sinf^3*z2 + 3850560*li4half*z2^2 + 
    1277640*ln2^4*z2^2 - 1646400*ln2^3*sinf*z2^2 - 
    5292000*ln2^2*sinf^2*z2^2 + 1081920*ln2*sinf^3*z2^2 - 
    5569200*ln2^2*z2^3 - 1622880*ln2*sinf*z2^3 - 1982400*sinf^2*z2^3 - 
    4973016*z2^4 + 68275200*li5half*z3 - 568960*ln2^5*z3 - 
    72800*ln2^3*z2*z3 - 9878400*ln2^2*sinf*z2*z3 - 2469600*ln2*sinf^2*z2*z3 - 
    940800*sinf^3*z2*z3 + 9310560*ln2*z2^2*z3 - 20286000*sinf*z2^2*z3 - 
    567000*ln2^2*z3^2 - 10584000*ln2*sinf*z3^2 - 13108200*z2*z3^2 - 
    38278800*ln2^2*sinf*z5 - 4468800*sinf^3*z5 - 12096000*ln2*z2*z5 - 
    68796000*sinf*z2*z5 - 20901300*z3*z5 + 218173725*sinf*z7)/5644800, 
 H[1, 1, 1, 0, 1, -1, 1, -1, 1] -> (12096000*li4half^2 + 177408000*li8half + 
    32256000*li7half*ln2 - 8064000*li6half*ln2^2 + 3024000*li4half*ln2^4 + 
    91800*ln2^8 - 62928000*ln2^2*s6 + 19584000*ln2*s7a + 7488000*ln2*s7b + 
    101842650*s8a + 530208000*s8b + 80640000*s8c + 30240000*s8d + 
    80640000*li7half*sinf - 16128000*li6half*ln2*sinf - 
    16128000*li5half*ln2^2*sinf + 96000*ln2^7*sinf - 7488000*ln2*s6*sinf + 
    1440000*s7a*sinf - 10656000*s7b*sinf - 52416000*li6half*sinf^2 - 
    16128000*li5half*ln2*sinf^2 - 6048000*li4half*ln2^2*sinf^2 - 
    190400*ln2^6*sinf^2 - 19152000*s6*sinf^2 - 4032000*li4half*ln2*sinf^3 - 
    168000*ln2^5*sinf^3 + 60480000*li6half*z2 + 16128000*li5half*ln2*z2 - 
    12096000*li4half*ln2^2*z2 - 879200*ln2^6*z2 - 93744000*s6*z2 + 
    16128000*li5half*sinf*z2 + 12096000*li4half*ln2*sinf*z2 - 
    302400*ln2^5*sinf*z2 + 6048000*li4half*sinf^2*z2 + 
    1512000*ln2^4*sinf^2*z2 - 336000*ln2^3*sinf^3*z2 - 5443200*li4half*z2^2 + 
    2125200*ln2^4*z2^2 - 3427200*ln2^3*sinf*z2^2 - 705600*ln2^2*sinf^2*z2^2 + 
    705600*ln2*sinf^3*z2^2 + 13730400*ln2^2*z2^3 + 11901600*ln2*sinf*z2^3 + 
    4744800*sinf^2*z2^3 - 11737656*z2^4 - 80640000*li5half*z3 + 
    40320000*li4half*ln2*z3 + 3057600*ln2^5*z3 - 15120000*li4half*sinf*z3 + 
    1134000*ln2^4*sinf*z3 + 1176000*ln2^3*sinf^2*z3 - 27720000*ln2^3*z2*z3 - 
    6804000*ln2^2*sinf*z2*z3 - 3528000*ln2*sinf^2*z2*z3 - 
    504000*sinf^3*z2*z3 - 108496800*ln2*z2^2*z3 + 4147200*sinf*z2^2*z3 + 
    20889000*ln2^2*z3^2 + 17298000*ln2*sinf*z3^2 + 9387000*sinf^2*z3^2 - 
    97524000*z2*z3^2 + 19530000*ln2^3*z5 + 35154000*ln2^2*sinf*z5 + 
    23436000*ln2*sinf^2*z5 + 1344000*sinf^3*z5 - 310410000*ln2*z2*z5 + 
    4212000*sinf*z2*z5 + 120734250*z3*z5 + 101864250*ln2*z7 - 
    104783625*sinf*z7)/8064000, H[1, 1, 1, 0, 1, -1, 0, 1, 1] -> 
  (-36288000*li4half^2 - 3024000*li4half*ln2^4 - 63000*ln2^8 + 
    6048000*ln2^2*s6 + 13636350*s8a + 48384000*s8b - 12096000*s8c + 
    12096000*s8d - 11808000*ln2*s6*sinf + 11808000*s7a*sinf + 
    11808000*s7b*sinf + 6048000*s6*sinf^2 - 40320000*li6half*z2 - 
    32256000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 464800*ln2^6*z2 - 
    50400000*s6*z2 - 32256000*li5half*sinf*z2 - 24192000*li4half*ln2*sinf*
     z2 - 739200*ln2^5*sinf*z2 + 4032000*li4half*sinf^2*z2 + 
    168000*ln2^4*sinf^2*z2 + 25603200*li4half*z2^2 - 25200*ln2^4*z2^2 + 
    3360000*ln2^3*sinf*z2^2 - 1008000*ln2^2*sinf^2*z2^2 + 
    504000*ln2*sinf^3*z2^2 - 6098400*ln2^2*z2^3 - 2440800*ln2*sinf*z2^3 - 
    4262400*sinf^2*z2^3 - 17321184*z2^4 + 60480000*li5half*z3 - 
    504000*ln2^5*z3 - 1008000*li4half*sinf*z3 - 42000*ln2^4*sinf*z3 + 
    2688000*ln2^3*z2*z3 - 6804000*ln2^2*sinf*z2*z3 - 
    7056000*ln2*sinf^2*z2*z3 - 4368000*sinf^3*z2*z3 + 14742000*ln2*z2^2*z3 - 
    27007200*sinf*z2^2*z3 + 1701000*ln2^2*z3^2 + 14760000*ln2*sinf*z3^2 + 
    13041000*sinf^2*z3^2 - 12642000*z2*z3^2 + 7623000*sinf^3*z5 + 
    36288000*ln2*z2*z5 - 47349000*sinf*z2*z5 + 71331750*z3*z5 + 
    216921375*sinf*z7)/8064000, H[1, 1, 1, 0, 1, -1, 0, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 672000*ln2^2*s6 - 
    370650*s8a - 12432000*s8b + 1344000*s8c - 1344000*s8d + 
    288000*ln2*s6*sinf - 288000*s7a*sinf - 288000*s7b*sinf - 
    3360000*s6*sinf^2 - 2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 
    10752000*s6*z2 - 2688000*li4half*sinf^2*z2 - 112000*ln2^4*sinf^2*z2 - 
    672000*li4half*z2^2 + 224000*ln2^4*z2^2 + 672000*ln2^2*sinf^2*z2^2 + 
    504000*ln2*sinf^3*z2^2 + 134400*ln2^2*z2^3 + 381600*ln2*sinf*z2^3 + 
    778400*sinf^2*z2^3 + 867616*z2^4 - 6720000*li5half*z3 + 56000*ln2^5*z3 + 
    3696000*li4half*sinf*z3 + 154000*ln2^4*sinf*z3 - 560000*ln2^3*z2*z3 - 
    924000*ln2^2*sinf*z2*z3 + 168000*sinf^3*z2*z3 - 714000*ln2*z2^2*z3 + 
    830400*sinf*z2^2*z3 - 189000*ln2^2*z3^2 - 360000*ln2*sinf*z3^2 - 
    21000*sinf^2*z3^2 + 315000*z2*z3^2 - 973000*sinf^3*z5 - 
    4032000*ln2*z2*z5 + 9162000*sinf*z2*z5 - 1804250*z3*z5 - 
    18210375*sinf*z7)/1344000, H[1, 1, 1, 0, 1, -1, 0, -1, 1] -> 
  (-536256000*li4half^2 + 2257920000*li8half + 1806336000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 150528000*li5half*ln2^3 - 
    25872000*li4half*ln2^4 - 763000*ln2^8 + 159264000*ln2^2*s6 + 
    46368000*ln2*s7a - 391104000*ln2*s7b + 257304600*s8a + 2574432000*s8b + 
    96768000*s8c + 270144000*s8d + 1806336000*li7half*sinf + 
    1354752000*li6half*ln2*sinf + 451584000*li5half*ln2^2*sinf + 
    75264000*li4half*ln2^3*sinf + 896000*ln2^7*sinf + 92736000*ln2*s6*sinf + 
    415296000*s7a*sinf - 22176000*s7b*sinf + 677376000*li6half*sinf^2 + 
    451584000*li5half*ln2*sinf^2 + 112896000*li4half*ln2^2*sinf^2 + 
    1881600*ln2^6*sinf^2 + 324576000*s6*sinf^2 + 150528000*li5half*sinf^3 + 
    75264000*li4half*ln2*sinf^3 + 1881600*ln2^5*sinf^3 - 
    1495872000*li6half*z2 - 1016064000*li5half*ln2*z2 + 6076000*ln2^6*z2 - 
    1372896000*s6*z2 - 1016064000*li5half*sinf*z2 - 
    536256000*li4half*ln2*sinf*z2 - 15758400*ln2^5*sinf*z2 - 
    98784000*li4half*sinf^2*z2 - 8820000*ln2^4*sinf^2*z2 - 
    6272000*ln2^3*sinf^3*z2 + 399772800*li4half*z2^2 - 3334800*ln2^4*z2^2 + 
    49392000*ln2^3*sinf*z2^2 + 24696000*ln2^2*sinf^2*z2^2 + 
    31987200*ln2*sinf^3*z2^2 - 97423200*ln2^2*z2^3 - 10533600*ln2*sinf*z2^3 - 
    47023200*sinf^2*z2^3 - 6237144*z2^4 + 748608000*li5half*z3 - 
    244608000*li4half*ln2*z3 - 16430400*ln2^5*z3 + 
    402192000*li4half*sinf*z3 + 16758000*ln2^4*sinf*z3 + 
    115304000*ln2^3*z2*z3 - 125244000*ln2^2*sinf*z2*z3 - 
    24696000*ln2*sinf^2*z2*z3 - 2352000*sinf^3*z2*z3 + 
    439807200*ln2*z2^2*z3 - 154324800*sinf*z2^2*z3 - 115731000*ln2^2*z3^2 + 
    198954000*ln2*sinf*z3^2 - 108486000*sinf^2*z3^2 + 114996000*z2*z3^2 + 
    236964000*ln2^3*z5 - 136710000*ln2^2*sinf*z5 - 560511000*ln2*sinf^2*z5 - 
    149058000*sinf^3*z5 + 1993257000*ln2*z2*z5 + 1122219000*sinf*z2*z5 - 
    1481224500*z3*z5 - 4635965250*ln2*z7 - 1631739375*sinf*z7)/56448000, 
 H[1, 1, 1, 0, 1, -1, -1, 1, 1] -> 
  (-127008000*li4half^2 - 169344000*li8half + 84672000*li6half*ln2^2 + 
    56448000*li5half*ln2^3 + 10584000*li4half*ln2^4 + 304500*ln2^8 - 
    13608000*ln2^2*s6 + 11357325*s8a - 95760000*s8b + 20160000*s8c - 
    41328000*s8d - 84672000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    42336000*li4half*ln2^3*sinf + 1310400*ln2^7*sinf - 
    117936000*ln2*s6*sinf + 117936000*s7a*sinf + 82656000*s7b*sinf - 
    14112000*li6half*sinf^2 + 21168000*li4half*ln2^2*sinf^2 + 
    862400*ln2^6*sinf^2 + 3528000*s6*sinf^2 - 18816000*li5half*sinf^3 + 
    156800*ln2^5*sinf^3 - 70560000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 3155600*ln2^6*z2 + 93240000*s6*z2 - 
    84672000*li4half*ln2*sinf*z2 - 9760800*ln2^5*sinf*z2 - 
    21168000*li4half*sinf^2*z2 - 5880000*ln2^4*sinf^2*z2 - 
    1568000*ln2^3*sinf^3*z2 + 23486400*li4half*z2^2 + 11562600*ln2^4*z2^2 + 
    21168000*ln2^3*sinf*z2^2 + 4586400*ln2^2*sinf^2*z2^2 - 
    6232800*ln2*sinf^3*z2^2 - 3553200*ln2^2*z2^3 + 14061600*ln2*sinf*z2^3 + 
    2898000*sinf^2*z2^3 + 18679932*z2^4 + 228480000*li5half*z3 + 
    3035200*ln2^5*z3 + 137592000*li4half*sinf*z3 + 21168000*ln2^4*sinf*z3 + 
    16464000*ln2^3*sinf^2*z3 + 6174000*ln2^2*sinf^3*z3 - 
    34468000*ln2^3*z2*z3 - 120834000*ln2^2*sinf*z2*z3 - 
    37044000*ln2*sinf^2*z2*z3 - 6174000*sinf^3*z2*z3 + 5980800*ln2*z2^2*z3 - 
    134013600*sinf*z2^2*z3 + 23184000*ln2^2*z3^2 + 147420000*ln2*sinf*z3^2 + 
    29547000*sinf^2*z3^2 - 63189000*z2*z3^2 + 13671000*ln2^3*z5 + 
    54684000*ln2^2*sinf*z5 + 29767500*sinf^3*z5 - 101493000*ln2*z2*z5 - 
    351508500*sinf*z2*z5 + 107706375*z3*z5 + 998565750*sinf*z7)/28224000, 
 H[1, 1, 1, 0, 1, -1, -1, 0, 1] -> 
  (423360000*li4half^2 + 35280000*li4half*ln2^4 + 735000*ln2^8 + 
    45360000*ln2^2*s6 - 32370975*s8a - 225288000*s8b - 90720000*s8c + 
    90720000*s8d + 215712000*ln2*s6*sinf - 215712000*s7a*sinf - 
    413280000*s7b*sinf - 49392000*s6*sinf^2 - 37632000*li5half*sinf^3 + 
    313600*ln2^5*sinf^3 + 225792000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 78400*ln2^6*z2 - 195552000*s6*z2 + 
    451584000*li5half*sinf*z2 + 338688000*li4half*ln2*sinf*z2 + 
    10348800*ln2^5*sinf*z2 + 98784000*li4half*sinf^2*z2 + 
    4116000*ln2^4*sinf^2*z2 - 3136000*ln2^3*sinf^3*z2 - 
    247161600*li4half*z2^2 - 24998400*ln2^4*z2^2 - 47040000*ln2^3*sinf*z2^2 - 
    8820000*ln2^2*sinf^2*z2^2 - 8937600*ln2*sinf^3*z2^2 + 
    86587200*ln2^2*z2^3 - 66276000*ln2*sinf*z2^3 - 28308000*sinf^2*z2^3 - 
    61357056*z2^4 - 877632000*li5half*z3 + 7313600*ln2^5*z3 - 
    409248000*li4half*sinf*z3 - 17052000*ln2^4*sinf*z3 + 
    21532000*ln2^3*z2*z3 + 312228000*ln2^2*sinf*z2*z3 + 
    135828000*ln2*sinf^2*z2*z3 + 13524000*sinf^3*z2*z3 - 
    199050600*ln2*z2^2*z3 + 330321600*sinf*z2^2*z3 + 12757500*ln2^2*z3^2 - 
    269640000*ln2*sinf*z3^2 - 48289500*sinf^2*z3^2 + 252966000*z2*z3^2 + 
    191394000*ln2^2*sinf*z5 + 8232000*sinf^3*z5 + 395199000*ln2*z2*z5 + 
    1161531000*sinf*z2*z5 + 410064375*z3*z5 - 3193162875*sinf*z7)/56448000, 
 H[1, 1, 1, 0, 1, -1, -1, -1, 1] -> 
  (-112896000*li4half^2 + 56448000*li8half - 112896000*li6half*ln2^2 - 
    94080000*li5half*ln2^3 - 49392000*li4half*ln2^4 - 1233400*ln2^8 + 
    153216000*ln2^2*s6 - 44352000*ln2*s7a - 199584000*ln2*s7b - 2195550*s8a + 
    145152000*s8b - 20160000*s8c + 20160000*s8d + 169344000*li7half*sinf + 
    112896000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf - 
    75264000*li4half*ln2^3*sinf - 2542400*ln2^7*sinf + 
    106848000*ln2*s6*sinf + 76608000*s7a*sinf - 50400000*s7b*sinf + 
    197568000*li6half*sinf^2 + 56448000*li5half*ln2*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 1372000*ln2^6*sinf^2 + 
    112896000*s6*sinf^2 + 37632000*li5half*sinf^3 + 
    9408000*li4half*ln2*sinf^3 + 78400*ln2^5*sinf^3 - 254016000*li6half*z2 + 
    197568000*li4half*ln2^2*z2 + 12348000*ln2^6*z2 - 244944000*s6*z2 - 
    169344000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    15052800*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 + 
    7056000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 + 
    94348800*li4half*z2^2 - 33112800*ln2^4*z2^2 - 18110400*ln2^3*sinf*z2^2 + 
    2822400*ln2^2*sinf^2*z2^2 + 11995200*ln2*sinf^3*z2^2 - 
    49140000*ln2^2*z2^3 - 31802400*ln2*sinf*z2^3 - 11340000*sinf^2*z2^3 + 
    24199632*z2^4 + 105504000*li5half*z3 - 319872000*li4half*ln2*z3 - 
    24085600*ln2^5*z3 + 28224000*li4half*sinf*z3 - 29694000*ln2^4*sinf*z3 - 
    32928000*ln2^3*sinf^2*z3 - 12348000*ln2^2*sinf^3*z3 + 
    188132000*ln2^3*z2*z3 + 128772000*ln2^2*sinf*z2*z3 + 
    37044000*ln2*sinf^2*z2*z3 + 4116000*sinf^3*z2*z3 + 
    264020400*ln2*z2^2*z3 + 13784400*sinf*z2^2*z3 - 189976500*ln2^2*z3^2 - 
    74907000*ln2*sinf*z3^2 - 54684000*sinf^2*z3^2 + 161164500*z2*z3^2 + 
    63798000*ln2^3*z5 - 95697000*ln2^2*sinf*z5 - 177723000*ln2*sinf^2*z5 - 
    45864000*sinf^3*z5 + 1048068000*ln2*z2*z5 + 467334000*sinf*z2*z5 - 
    470594250*z3*z5 - 1833040125*ln2*z7 - 651286125*sinf*z7)/56448000, 
 H[1, 1, 1, 0, 0, 1, 1, 1, 1] -> (-200*sinf^2*z2^3 + 116*z2^4 - 
    175*sinf^3*z2*z3 - 315*sinf*z2^2*z3 + 525*sinf^2*z3^2 - 875*z2*z3^2 + 
    350*sinf^3*z5 - 1050*sinf*z2*z5 + 700*z3*z5 + 3150*sinf*z7)/1050, 
 H[1, 1, 1, 0, 0, 1, 1, 0, 1] -> (2100*s8a + 195*sinf^2*z2^3 - 1431*z2^4 - 
    1050*sinf*z2^2*z3 - 1050*z2*z3^2 - 175*sinf^3*z5 + 1575*sinf*z2*z5 + 
    9100*z3*z5 - 525*sinf*z7)/2100, H[1, 1, 1, 0, 0, 1, 1, -1, 1] -> 
  (56448000*li4half^2 + 564480000*li8half + 225792000*li7half*ln2 - 
    18816000*li5half*ln2^3 + 28000*ln2^8 + 11088000*ln2^2*s6 - 
    40320000*ln2*s7a - 54432000*ln2*s7b + 62894475*s8a + 300888000*s8b + 
    58464000*s8c - 58464000*s8d + 225792000*li7half*sinf - 
    56448000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    358400*ln2^7*sinf + 12096000*ln2*s6*sinf - 12096000*s7a*sinf - 
    82656000*s7b*sinf - 56448000*li5half*ln2*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 705600*ln2^6*sinf^2 + 
    42336000*s6*sinf^2 - 18816000*li5half*sinf^3 - 
    18816000*li4half*ln2*sinf^3 - 627200*ln2^5*sinf^3 + 
    112896000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 
    74592000*s6*z2 + 112896000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*
     z2 + 4704000*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 + 
    3528000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 - 
    39916800*li4half*z2^2 - 2839200*ln2^4*z2^2 - 18816000*ln2^3*sinf*z2^2 - 
    29635200*ln2^2*sinf^2*z2^2 - 3528000*ln2*sinf^3*z2^2 + 
    6753600*ln2^2*z2^3 + 12348000*ln2*sinf*z2^3 - 3057600*sinf^2*z2^3 - 
    15530784*z2^4 - 19488000*li5half*z3 - 37632000*li4half*ln2*z3 - 
    1405600*ln2^5*z3 - 98784000*li4half*sinf*z3 - 4116000*ln2^4*sinf*z3 + 
    7784000*ln2^3*z2*z3 + 67032000*ln2^2*sinf*z2*z3 - 588000*sinf^3*z2*z3 - 
    61551000*ln2*z2^2*z3 + 56574000*sinf*z2^2*z3 - 47817000*ln2^2*z3^2 + 
    6489000*ln2*sinf*z3^2 - 14773500*sinf^2*z3^2 - 34660500*z2*z3^2 + 
    27342000*ln2^3*z5 + 109368000*ln2^2*sinf*z5 + 41013000*ln2*sinf^2*z5 + 
    22197000*sinf^3*z5 - 97083000*ln2*z2*z5 + 137403000*sinf*z2*z5 - 
    110877375*z3*z5 - 370526625*ln2*z7 - 679888125*sinf*z7)/56448000, 
 H[1, 1, 1, 0, 0, 1, 0, 1, 1] -> (-92400*s8a + 18500*sinf^2*z2^3 + 
    76076*z2^4 + 21000*sinf^3*z2*z3 + 100800*sinf*z2^2*z3 - 
    63000*sinf^2*z3^2 + 63000*z2*z3^2 - 38500*sinf^3*z5 + 94500*sinf*z2*z5 - 
    497000*z3*z5 - 469875*sinf*z7)/42000, H[1, 1, 1, 0, 0, 1, 0, 0, 1] -> 
  (-6300*s8a - 2280*sinf^2*z2^3 + 3047*z2^4 + 4620*sinf*z2^2*z3 + 
    1050*sinf^2*z3^2 + 1050*z2*z3^2 + 4200*sinf^3*z5 - 31500*sinf*z2*z5 - 
    6300*z3*z5 + 32025*sinf*z7)/4200, H[1, 1, 1, 0, 0, 1, 0, -1, 1] -> 
  (-1512000*ln2^2*s6 + 3024000*ln2*s7a + 10080000*ln2*s7b - 13247325*s8a - 
    20328000*s8b - 10080000*s8c + 3024000*s8d - 10080000*ln2*s6*sinf + 
    3024000*s7a*sinf + 10080000*s7b*sinf - 3528000*s6*sinf^2 + 
    4536000*s6*z2 + 604800*li4half*z2^2 + 25200*ln2^4*z2^2 + 
    453600*ln2^2*z2^3 + 1764000*ln2*sinf*z2^3 - 1038800*sinf^2*z2^3 + 
    1961128*z2^4 - 6048000*li5half*z3 + 50400*ln2^5*z3 - 504000*ln2^3*z2*z3 - 
    196000*sinf^3*z2*z3 + 315000*ln2*z2^2*z3 - 1604400*sinf*z2^2*z3 + 
    1890000*ln2^2*z3^2 - 2835000*ln2*sinf*z3^2 + 1690500*sinf^2*z3^2 + 
    7094500*z2*z3^2 - 4557000*ln2^3*z5 + 6835500*ln2*sinf^2*z5 + 
    514500*sinf^3*z5 - 13261500*ln2*z2*z5 - 39385500*sinf*z2*z5 - 
    14889000*z3*z5 + 47544000*ln2*z7 + 69832875*sinf*z7)/4704000, 
 H[1, 1, 1, 0, 0, 1, -1, 1, 1] -> 
  (-225792000*li8half + 56448000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    84000*ln2^8 + 23688000*ln2^2*s6 - 72404325*s8a - 143640000*s8b - 
    40320000*s8c + 61488000*s8d - 169344000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf - 201600*ln2^7*sinf + 39312000*ln2*s6*sinf - 
    39312000*s7a*sinf + 10080000*s7b*sinf - 56448000*li6half*sinf^2 - 
    78400*ln2^6*sinf^2 - 74088000*s6*sinf^2 - 9408000*li5half*sinf^3 + 
    78400*ln2^5*sinf^3 - 56448000*li5half*ln2*z2 + 1019200*ln2^6*z2 - 
    63000000*s6*z2 + 1646400*ln2^5*sinf*z2 + 1176000*ln2^4*sinf^2*z2 - 
    784000*ln2^3*sinf^3*z2 + 12297600*li4half*z2^2 - 4191600*ln2^4*z2^2 + 
    22579200*ln2^2*sinf^2*z2^2 + 1293600*ln2*sinf^3*z2^2 - 
    5594400*ln2^2*z2^3 - 13154400*ln2*sinf*z2^3 + 11600400*sinf^2*z2^3 + 
    22363548*z2^4 - 43008000*li5half*z3 - 1288000*ln2^5*z3 - 
    6174000*ln2^4*sinf*z3 - 8232000*ln2^3*sinf^2*z3 - 
    4116000*ln2^2*sinf^3*z3 + 21112000*ln2^3*z2*z3 + 
    7056000*ln2^2*sinf*z2*z3 + 24696000*ln2*sinf^2*z2*z3 + 
    8820000*sinf^3*z2*z3 + 28140000*ln2*z2^2*z3 + 53020800*sinf*z2^2*z3 + 
    8463000*ln2^2*z3^2 - 49140000*ln2*sinf*z3^2 - 7938000*sinf^2*z3^2 + 
    35091000*z2*z3^2 - 13671000*ln2^3*z5 - 68355000*ln2^2*sinf*z5 - 
    11686500*sinf^3*z5 + 161973000*ln2*z2*z5 + 24412500*sinf*z2*z5 - 
    62881875*z3*z5 - 89129250*sinf*z7)/28224000, 
 H[1, 1, 1, 0, 0, 1, -1, 0, 1] -> (-80640*ln2^2*s6 + 76545*s8a + 215040*s8b + 
    161280*s8c - 161280*s8d - 19200*ln2*s6*sinf + 19200*s7a*sinf + 
    19200*s7b*sinf + 134400*s6*sinf^2 + 322560*li6half*z2 + 
    161280*li5half*ln2*z2 - 896*ln2^6*z2 + 262080*s6*z2 + 
    161280*li5half*sinf*z2 - 1344*ln2^5*sinf*z2 - 32256*li4half*z2^2 + 
    5376*ln2^4*z2^2 + 13440*ln2^3*sinf*z2^2 - 20160*ln2*sinf^3*z2^2 + 
    4032*ln2^2*z2^3 + 63264*ln2*sinf*z2^3 - 432*sinf^2*z2^3 + 33156*z2^4 + 
    40320*li5half*z3 - 336*ln2^5*z3 - 20160*ln2^3*z2*z3 - 
    70560*ln2^2*sinf*z2*z3 - 70560*ln2*sinf^2*z2*z3 - 7840*sinf^3*z2*z3 - 
    73584*ln2*z2^2*z3 + 192*sinf*z2^2*z3 - 22680*ln2^2*z3^2 + 
    24000*ln2*sinf*z3^2 - 12180*sinf^2*z3^2 - 125300*z2*z3^2 + 
    47880*sinf^3*z5 - 601020*ln2*z2*z5 - 500340*sinf*z2*z5 - 50610*z3*z5 + 
    539820*sinf*z7)/53760, H[1, 1, 1, 0, 0, 1, -1, -1, 1] -> 
  (56448000*li4half^2 - 1241856000*li8half - 1128960000*li7half*ln2 - 
    451584000*li6half*ln2^2 - 94080000*li5half*ln2^3 + 252000*ln2^8 + 
    35280000*ln2^2*s6 - 88704000*ln2*s7a + 292320000*ln2*s7b - 
    383451075*s8a - 2172744000*s8b - 231840000*s8c - 219744000*s8d - 
    790272000*li7half*sinf - 677376000*li6half*ln2*sinf - 
    225792000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf + 
    313600*ln2^7*sinf - 209664000*ln2*s6*sinf - 114912000*s7a*sinf + 
    223776000*s7b*sinf - 225792000*li6half*sinf^2 - 
    169344000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    78400*ln2^6*sinf^2 - 84672000*s6*sinf^2 - 37632000*li5half*sinf^3 - 
    18816000*li4half*ln2*sinf^3 - 470400*ln2^5*sinf^3 + 
    564480000*li6half*z2 + 395136000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 2430400*ln2^6*z2 + 912240000*s6*z2 + 
    282240000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 - 
    1176000*ln2^4*sinf^2*z2 + 1568000*ln2^3*sinf^3*z2 - 
    72172800*li4half*z2^2 + 7576800*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 - 
    29635200*ln2^2*sinf^2*z2^2 - 11524800*ln2*sinf^3*z2^2 - 
    7560000*ln2^2*z2^3 + 59320800*ln2*sinf*z2^3 + 15002400*sinf^2*z2^3 + 
    55625208*z2^4 + 53760000*li5half*z3 - 37632000*li4half*ln2*z3 + 
    1276800*ln2^5*z3 - 98784000*li4half*sinf*z3 + 8232000*ln2^4*sinf*z3 + 
    16464000*ln2^3*sinf^2*z3 + 8232000*ln2^2*sinf^3*z3 - 
    27272000*ln2^3*z2*z3 - 7056000*ln2^2*sinf*z2*z3 - 
    24696000*ln2*sinf^2*z2*z3 - 7644000*sinf^3*z2*z3 + 68413800*ln2*z2^2*z3 - 
    25174800*sinf*z2^2*z3 - 55419000*ln2^2*z3^2 - 86751000*ln2*sinf*z3^2 + 
    49171500*sinf^2*z3^2 + 168514500*z2*z3^2 - 264306000*ln2^3*z5 - 
    54684000*ln2^2*sinf*z5 + 232407000*ln2*sinf^2*z5 + 55272000*sinf^3*z5 - 
    680904000*ln2*z2*z5 - 1066149000*sinf*z2*z5 - 45672375*z3*z5 + 
    2582503875*ln2*z7 + 2080283625*sinf*z7)/56448000, 
 H[1, 1, 1, 0, 0, 0, 1, 1, 1] -> (6300*s8a - 1100*sinf^2*z2^3 - 6724*z2^4 - 
    700*sinf^3*z2*z3 - 7560*sinf*z2^2*z3 + 3150*sinf^2*z3^2 - 4550*z2*z3^2 + 
    1400*sinf^3*z5 - 4200*sinf*z2*z5 + 42700*z3*z5 + 32025*sinf*z7)/4200, 
 H[1, 1, 1, 0, 0, 0, 1, 0, 1] -> (50400*s8a + 23600*sinf^2*z2^3 - 
    11466*z2^4 - 21000*sinf*z2^2*z3 - 21000*sinf^2*z3^2 + 42000*z2*z3^2 - 
    28000*sinf^3*z5 + 210000*sinf*z2*z5 - 98000*z3*z5 - 286125*sinf*z7)/
   42000, H[1, 1, 1, 0, 0, 0, 1, -1, 1] -> 
  (-18144000*ln2^2*s6 + 22176000*ln2*s7a - 15456000*ln2*s7b + 40470675*s8a + 
    204120000*s8b + 15456000*s8c + 36288000*s8d + 12096000*ln2*s6*sinf + 
    11424000*s7a*sinf - 26208000*s7b*sinf - 7056000*s6*sinf^2 - 
    103152000*s6*z2 + 7257600*li4half*z2^2 + 302400*ln2^4*z2^2 + 
    1176000*ln2*sinf^3*z2^2 + 5443200*ln2^2*z2^3 - 5392800*ln2*sinf*z2^3 + 
    1002400*sinf^2*z2^3 - 10443232*z2^4 - 72576000*li5half*z3 + 
    604800*ln2^5*z3 - 6048000*ln2^3*z2*z3 + 7056000*ln2*sinf^2*z2*z3 + 
    588000*sinf^3*z2*z3 - 30235800*ln2*z2^2*z3 + 6829200*sinf*z2^2*z3 + 
    22680000*ln2^2*z3^2 + 8547000*ln2*sinf*z3^2 - 808500*sinf^2*z3^2 - 
    17986500*z2*z3^2 + 33418000*ln2^3*z5 + 27342000*ln2^2*sinf*z5 - 
    9114000*ln2*sinf^2*z5 - 3136000*sinf^3*z5 + 46662000*ln2*z2*z5 + 
    96684000*sinf*z2*z5 + 98641375*z3*z5 - 124910625*ln2*z7 - 
    160978125*sinf*z7)/9408000, H[1, 1, 1, 0, 0, 0, 0, 1, 1] -> 
  (-900*s8a - 600*sinf^2*z2^3 + 1101*z2^4 - 300*sinf*z2^2*z3 + 
    750*sinf^2*z3^2 + 2250*z2*z3^2 + 500*sinf^3*z5 + 4500*sinf*z2*z5 - 
    9500*z3*z5 - 6000*sinf*z7)/3000, H[1, 1, 1, 0, 0, 0, 0, 0, 1] -> 
  (-40*sinf^2*z2^3 - 82*z2^4 - 140*sinf*z2^2*z3 - 175*z2*z3^2 - 
    350*sinf*z2*z5 + 1050*z3*z5 + 1050*sinf*z7)/350, 
 H[1, 1, 1, 0, 0, 0, 0, -1, 1] -> (168000*ln2^2*s6 - 336000*ln2*s7a - 
    369600*s8a - 2688000*s8b - 336000*s8d - 336000*s7a*sinf - 
    168000*s6*sinf^2 + 1176000*s6*z2 - 67200*li4half*z2^2 - 2800*ln2^4*z2^2 - 
    50400*ln2^2*z2^3 - 92400*sinf^2*z2^3 - 21576*z2^4 + 672000*li5half*z3 - 
    5600*ln2^5*z3 + 56000*ln2^3*z2*z3 + 252000*ln2*z2^2*z3 - 
    210000*ln2^2*z3^2 + 126000*sinf^2*z3^2 - 84000*z2*z3^2 - 
    217000*ln2^3*z5 + 325500*ln2*sinf^2*z5 + 52500*sinf^3*z5 - 
    661500*ln2*z2*z5 - 157500*sinf*z2*z5 + 149625*z3*z5 + 2328375*ln2*z7)/
   336000, H[1, 1, 1, 0, 0, 0, -1, 1, 1] -> 
  (504000*ln2^2*s6 + 88725*s8a - 1848000*s8b - 1008000*s8d + 
    240000*ln2*s6*sinf - 240000*s7a*sinf + 768000*s7b*sinf + 
    840000*s6*sinf^2 + 1176000*s6*z2 - 201600*li4half*z2^2 - 
    8400*ln2^4*z2^2 - 84000*ln2*sinf^3*z2^2 - 151200*ln2^2*z2^3 + 
    192000*ln2*sinf*z2^3 - 106000*sinf^2*z2^3 + 92476*z2^4 + 
    2016000*li5half*z3 - 16800*ln2^5*z3 + 168000*ln2^3*z2*z3 - 
    504000*ln2*sinf^2*z2*z3 - 84000*sinf^3*z2*z3 + 688800*ln2*z2^2*z3 - 
    808800*sinf*z2^2*z3 - 630000*ln2^2*z3^2 - 300000*ln2*sinf*z3^2 + 
    210000*sinf^2*z3^2 + 504000*z2*z3^2 - 651000*ln2^3*z5 - 
    1953000*ln2^2*sinf*z5 + 318500*sinf^3*z5 - 63000*ln2*z2*z5 - 
    2266500*sinf*z2*z5 - 2263625*z3*z5 + 5980875*sinf*z7)/672000, 
 H[1, 1, 1, 0, 0, 0, -1, 0, 1] -> 
  (541275*s8a + 1512000*s6*z2 + 324400*sinf^2*z2^3 - 102276*z2^4 - 
    420000*sinf*z2^2*z3 - 252000*sinf^2*z3^2 - 798000*z2*z3^2 - 
    420000*sinf^3*z5 - 2929500*ln2*z2*z5 + 1522500*sinf*z2*z5 + 
    1785000*z3*z5 - 1089375*sinf*z7)/672000, 
 H[1, 1, 1, 0, 0, 0, -1, -1, 1] -> (1008000*ln2^2*s6 - 2016000*ln2*s7a - 
    877275*s8a - 9408000*s8b - 2016000*s8d - 1008000*s7a*sinf + 
    5544000*s6*z2 - 403200*li4half*z2^2 - 16800*ln2^4*z2^2 - 
    302400*ln2^2*z2^3 + 22000*sinf^2*z2^3 + 321716*z2^4 + 
    4032000*li5half*z3 - 33600*ln2^5*z3 + 336000*ln2^3*z2*z3 + 
    56000*sinf^3*z2*z3 + 1512000*ln2*z2^2*z3 - 50400*sinf*z2^2*z3 - 
    1260000*ln2^2*z3^2 - 84000*sinf^2*z3^2 + 70000*z2*z3^2 - 
    1302000*ln2^3*z5 - 101500*sinf^3*z5 - 1039500*ln2*z2*z5 + 
    273000*sinf*z2*z5 - 3043250*z3*z5 + 635250*ln2*z7 - 1225875*sinf*z7)/
   672000, H[1, 1, 1, 0, 0, -1, 1, 1, 1] -> 
  (-16934400*li4half^2 + 11289600*li8half + 1881600*li5half*ln2^3 + 
    14000*ln2^8 - 3830400*ln2^2*s6 + 15310575*s8a + 4536000*s8b + 
    7660800*s8c - 10483200*s8d + 11289600*li7half*sinf + 
    1881600*li4half*ln2^3*sinf + 76160*ln2^7*sinf - 7660800*ln2*s6*sinf + 
    7660800*s7a*sinf + 4838400*s7b*sinf + 5644800*li6half*sinf^2 + 
    7840*ln2^6*sinf^2 + 8467200*s6*sinf^2 + 1881600*li5half*sinf^3 - 
    15680*ln2^5*sinf^3 - 5644800*li6half*z2 - 5644800*li5half*ln2*z2 - 
    164640*ln2^6*z2 + 13910400*s6*z2 - 5644800*li5half*sinf*z2 - 
    5644800*li4half*ln2*sinf*z2 - 611520*ln2^5*sinf*z2 - 
    117600*ln2^4*sinf^2*z2 + 156800*ln2^3*sinf^3*z2 - 2096640*li4half*z2^2 + 
    618240*ln2^4*z2^2 + 940800*ln2^3*sinf*z2^2 - 2257920*ln2^2*sinf^2*z2^2 + 
    94080*ln2*sinf^3*z2^2 + 544320*ln2^2*z2^3 + 1149120*ln2*sinf*z2^3 - 
    2352000*sinf^2*z2^3 - 5085384*z2^4 + 34608000*li5half*z3 + 
    205520*ln2^5*z3 + 9878400*li4half*sinf*z3 + 1646400*ln2^4*sinf*z3 + 
    823200*ln2^3*sinf^2*z3 - 2878400*ln2^3*z2*z3 - 5644800*ln2^2*sinf*z2*z3 - 
    2469600*ln2*sinf^2*z2*z3 - 1528800*sinf^3*z2*z3 - 313320*ln2*z2^2*z3 - 
    19383840*sinf*z2^2*z3 - 1077300*ln2^2*z3^2 + 9576000*ln2*sinf*z3^2 + 
    3572100*sinf^2*z3^2 - 10831800*z2*z3^2 + 911400*ln2^3*z5 + 
    2734200*ln2^2*sinf*z5 + 1764000*sinf^3*z5 - 25716600*ln2*z2*z5 - 
    19416600*sinf*z2*z5 + 35858025*z3*z5 + 88874100*sinf*z7)/5644800, 
 H[1, 1, 1, 0, 0, -1, 1, 0, 1] -> (2419200*li4half^2 + 201600*li4half*ln2^4 + 
    4200*ln2^8 + 1209600*ln2^2*s6 - 913500*s8a - 3225600*s8b - 2419200*s8c + 
    2419200*s8d + 288000*ln2*s6*sinf - 288000*s7a*sinf - 288000*s7b*sinf - 
    2016000*s6*sinf^2 - 1612800*li6half*z2 + 806400*li5half*ln2*z2 + 
    403200*li4half*ln2^2*z2 + 7840*ln2^6*z2 - 3225600*s6*z2 - 
    1612800*li5half*sinf*z2 + 806400*li4half*ln2*sinf*z2 + 
    47040*ln2^5*sinf*z2 - 806400*li4half*sinf^2*z2 - 33600*ln2^4*sinf^2*z2 + 
    40320*li4half*z2^2 - 149520*ln2^4*z2^2 - 336000*ln2^3*sinf*z2^2 + 
    201600*ln2^2*sinf^2*z2^2 + 302400*ln2*sinf^3*z2^2 + 50400*ln2^2*z2^3 - 
    948960*ln2*sinf*z2^3 + 339840*sinf^2*z2^3 - 1039968*z2^4 - 
    4838400*li5half*z3 + 40320*ln2^5*z3 + 420000*ln2^3*z2*z3 + 
    1411200*ln2^2*sinf*z2*z3 + 352800*ln2*sinf^2*z2*z3 + 715680*ln2*z2^2*z3 + 
    193680*sinf*z2^2*z3 + 340200*ln2^2*z3^2 - 360000*ln2*sinf*z3^2 + 
    403200*sinf^2*z3^2 + 1877400*z2*z3^2 - 583800*sinf^3*z5 + 
    7648200*ln2*z2*z5 + 6881400*sinf*z2*z5 + 2958900*z3*z5 - 9494325*sinf*z7)/
   806400, H[1, 1, 1, 0, 0, -1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 338688000*li8half - 112896000*li7half*ln2 - 
    7056000*li4half*ln2^4 - 231000*ln2^8 + 38808000*ln2^2*s6 - 
    30240000*ln2*s7a - 72576000*ln2*s7b + 52197075*s8a + 61992000*s8b + 
    32256000*s8c + 31248000*s8d - 169344000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf - 201600*ln2^7*sinf + 47376000*ln2*s6*sinf + 
    2016000*s7a*sinf + 2016000*s7b*sinf - 28224000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 + 
    313600*ln2^6*sinf^2 - 38808000*s6*sinf^2 + 9408000*li4half*ln2*sinf^3 + 
    392000*ln2^5*sinf^3 + 28224000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 2391200*ln2^6*z2 - 80136000*s6*z2 - 
    28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    1176000*ln2^4*sinf^2*z2 - 2352000*ln2^3*sinf^3*z2 + 
    33062400*li4half*z2^2 - 6854400*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 + 
    26107200*ln2^2*sinf^2*z2^2 + 1293600*ln2*sinf^3*z2^2 - 
    16833600*ln2^2*z2^3 - 14565600*ln2*sinf*z2^3 + 9164400*sinf^2*z2^3 + 
    2530452*z2^4 - 27216000*li5half*z3 - 94080000*li4half*ln2*z3 - 
    6162800*ln2^5*z3 + 35280000*li4half*sinf*z3 - 4704000*ln2^4*sinf*z3 - 
    4116000*ln2^3*sinf^2*z3 + 50064000*ln2^3*z2*z3 - 
    14112000*ln2^2*sinf*z2*z3 + 12348000*ln2*sinf^2*z2*z3 + 
    2352000*sinf^3*z2*z3 + 55683600*ln2*z2^2*z3 - 12574800*sinf*z2^2*z3 - 
    51597000*ln2^2*z3^2 - 16002000*ln2*sinf*z3^2 + 7056000*sinf^2*z3^2 - 
    29631000*z2*z3^2 + 13671000*ln2^3*z5 - 68355000*ln2^2*sinf*z5 - 
    68355000*ln2*sinf^2*z5 - 8820000*sinf^3*z5 + 268128000*ln2*z2*z5 + 
    88893000*sinf*z2*z5 + 157744125*z3*z5 - 535673250*ln2*z7 + 
    58731750*sinf*z7)/28224000, H[1, 1, 1, 0, 0, -1, 0, 1, 1] -> 
  (6048000*li4half^2 + 504000*li4half*ln2^4 + 10500*ln2^8 - 3650850*s8a + 
    6048000*ln2*s6*sinf - 6048000*s7a*sinf - 6048000*s7b*sinf + 
    4032000*li6half*z2 + 4032000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 
    70000*ln2^6*z2 - 1008000*s6*z2 + 4032000*li5half*sinf*z2 + 
    4032000*li4half*ln2*sinf*z2 + 134400*ln2^5*sinf*z2 + 
    2016000*li4half*sinf^2*z2 + 84000*ln2^4*sinf^2*z2 - 100800*li4half*z2^2 + 
    121800*ln2^4*z2^2 - 672000*ln2^3*sinf*z2^2 - 504000*ln2^2*sinf^2*z2^2 + 
    25200*ln2^2*z2^3 - 1058400*ln2*sinf*z2^3 + 91200*sinf^2*z2^3 + 
    2058564*z2^4 - 10584000*li5half*z3 + 88200*ln2^5*z3 - 
    10584000*li4half*sinf*z3 - 441000*ln2^4*sinf*z3 - 294000*ln2^3*z2*z3 + 
    4410000*ln2^2*sinf*z2*z3 + 1764000*ln2*sinf^2*z2*z3 + 
    756000*sinf^3*z2*z3 - 88200*ln2*z2^2*z3 + 10445400*sinf*z2^2*z3 - 
    7560000*ln2*sinf*z3^2 - 2819250*sinf^2*z3^2 + 5622750*z2*z3^2 - 
    1407000*sinf^3*z5 + 1953000*ln2*z2*z5 + 21042000*sinf*z2*z5 - 
    20398875*z3*z5 - 64645875*sinf*z7)/2016000, 
 H[1, 1, 1, 0, 0, -1, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 978075*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 + 201600*li4half*z2^2 - 
    117600*ln2^4*z2^2 - 50400*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 - 
    586800*sinf^2*z2^3 + 186108*z2^4 + 3528000*li5half*z3 - 29400*ln2^5*z3 + 
    3528000*li4half*sinf*z3 + 147000*ln2^4*sinf*z3 + 294000*ln2^3*z2*z3 - 
    882000*ln2^2*sinf*z2*z3 + 176400*ln2*z2^2*z3 - 1890000*sinf*z2^2*z3 + 
    2520000*ln2*sinf*z3^2 + 519750*sinf^2*z3^2 - 1575000*z2*z3^2 + 
    945000*sinf^3*z5 - 13986000*sinf*z2*z5 + 2488500*z3*z5 + 
    24381000*sinf*z7)/1008000, H[1, 1, 1, 0, 0, -1, 0, -1, 1] -> 
  (70560000*li4half^2 + 5880000*li4half*ln2^4 + 122500*ln2^8 - 
    20664000*ln2^2*s6 + 41328000*ln2*s7a + 76608000*ln2*s7b - 64453725*s8a - 
    200592000*s8b - 76608000*s8c + 41328000*s8d - 6048000*ln2*s6*sinf - 
    29232000*s7a*sinf + 6048000*s7b*sinf - 17640000*s6*sinf^2 + 
    14112000*li6half*z2 + 14112000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1274000*ln2^6*z2 - 33264000*s6*z2 + 
    14112000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 + 
    470400*ln2^5*sinf*z2 + 7056000*li4half*sinf^2*z2 + 
    294000*ln2^4*sinf^2*z2 - 44654400*li4half*z2^2 + 1667400*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 - 1764000*ln2^2*sinf^2*z2^2 + 
    19429200*ln2^2*z2^3 + 1058400*ln2*sinf*z2^3 - 7114800*sinf^2*z2^3 - 
    24469716*z2^4 - 107352000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    5010600*ln2^5*z3 - 24696000*li4half*sinf*z3 - 1029000*ln2^4*sinf*z3 - 
    31584000*ln2^3*z2*z3 + 12348000*ln2^2*sinf*z2*z3 + 
    6174000*ln2*sinf^2*z2*z3 - 1470000*sinf^3*z2*z3 - 57670200*ln2*z2^2*z3 + 
    9286200*sinf*z2^2*z3 + 69048000*ln2^2*z3^2 - 23310000*ln2*sinf*z3^2 + 
    7827750*sinf^2*z3^2 + 45034500*z2*z3^2 - 22785000*ln2^3*z5 + 
    34177500*ln2*sinf^2*z5 + 3013500*sinf^3*z5 - 57834000*ln2*z2*z5 - 
    65394000*sinf*z2*z5 + 137783625*z3*z5 + 616919625*ln2*z7 + 
    57786750*sinf*z7)/14112000, H[1, 1, 1, 0, 0, -1, -1, 1, 1] -> 
  (169344000*li4half^2 + 282240000*li8half - 112896000*li6half*ln2^2 - 
    65856000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 189000*ln2^8 - 
    19152000*ln2^2*s6 - 886725*s8a + 234360000*s8b + 10080000*s8c + 
    4032000*s8d + 225792000*li7half*sinf - 84672000*li5half*ln2^2*sinf - 
    47040000*li4half*ln2^3*sinf - 1299200*ln2^7*sinf + 88704000*ln2*s6*sinf - 
    88704000*s7a*sinf - 145152000*s7b*sinf + 84672000*li6half*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 1058400*ln2^6*sinf^2 + 
    56448000*s6*sinf^2 + 18816000*li5half*sinf^3 - 156800*ln2^5*sinf^3 + 
    28224000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 - 57456000*s6*z2 + 
    28224000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 + 
    10113600*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 + 
    6468000*ln2^4*sinf^2*z2 + 1568000*ln2^3*sinf^3*z2 - 
    34473600*li4half*z2^2 - 9080400*ln2^4*z2^2 - 25872000*ln2^3*sinf*z2^2 - 
    18345600*ln2^2*sinf^2*z2^2 + 4468800*ln2*sinf^3*z2^2 + 
    15069600*ln2^2*z2^3 - 20563200*ln2*sinf*z2^3 - 14851200*sinf^2*z2^3 - 
    1467096*z2^4 - 259728000*li5half*z3 - 1951600*ln2^5*z3 - 
    190512000*li4half*sinf*z3 - 20286000*ln2^4*sinf*z3 - 
    12348000*ln2^3*sinf^2*z3 - 4116000*ln2^2*sinf^3*z3 + 
    19516000*ln2^3*z2*z3 + 130536000*ln2^2*sinf*z2*z3 + 
    24696000*ln2*sinf^2*z2*z3 + 3528000*sinf^3*z2*z3 - 34847400*ln2*z2^2*z3 + 
    156214800*sinf*z2^2*z3 - 16705500*ln2^2*z3^2 - 110880000*ln2*sinf*z3^2 - 
    39469500*sinf^2*z3^2 + 43596000*z2*z3^2 + 22785000*ln2^3*z5 + 
    95697000*ln2^2*sinf*z5 - 22491000*sinf^3*z5 - 112266000*ln2*z2*z5 + 
    454608000*sinf*z2*z5 - 113092875*z3*z5 - 1295154000*sinf*z7)/28224000, 
 H[1, 1, 1, 0, 0, -1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 177975*s8a - 
    5040000*ln2*s6*sinf + 5040000*s7a*sinf + 5040000*s7b*sinf - 
    10080000*li6half*z2 - 10080000*li5half*ln2*z2 - 
    1008000*li4half*ln2^2*z2 + 28000*ln2^6*z2 - 2016000*s6*z2 - 
    7056000*li5half*sinf*z2 - 7056000*li4half*ln2*sinf*z2 - 
    235200*ln2^5*sinf*z2 - 2016000*li4half*sinf^2*z2 - 
    84000*ln2^4*sinf^2*z2 + 4838400*li4half*z2^2 + 327600*ln2^4*z2^2 + 
    1176000*ln2^3*sinf*z2^2 + 504000*ln2^2*sinf^2*z2^2 - 1209600*ln2^2*z2^3 + 
    882000*ln2*sinf*z2^3 + 572400*sinf^2*z2^3 + 563436*z2^4 + 
    14112000*li5half*z3 - 117600*ln2^5*z3 + 8820000*li4half*sinf*z3 + 
    367500*ln2^4*sinf*z3 - 294000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 - 
    1764000*ln2*sinf^2*z2*z3 - 147000*sinf^3*z2*z3 + 4233600*ln2*z2^2*z3 - 
    5544000*sinf*z2^2*z3 + 6300000*ln2*sinf*z3^2 + 771750*sinf^2*z3^2 - 
    1695750*z2*z3^2 + 241500*sinf^3*z5 + 3906000*ln2*z2*z5 - 
    11607750*sinf*z2*z5 - 5722500*z3*z5 + 39910500*sinf*z7)/1008000, 
 H[1, 1, 1, 0, 0, -1, -1, -1, 1] -> (4032000*li8half + 4032000*li7half*ln2 + 
    2016000*li6half*ln2^2 + 672000*li5half*ln2^3 + 168000*li4half*ln2^4 + 
    3500*ln2^8 - 403200*ln2^2*s6 + 806400*ln2*s7a + 422100*s8a + 
    4435200*s8b + 806400*s8d + 2419200*li7half*sinf + 
    2419200*li6half*ln2*sinf + 1209600*li5half*ln2^2*sinf + 
    403200*li4half*ln2^3*sinf + 9600*ln2^7*sinf + 201600*ln2*s6*sinf + 
    403200*s7a*sinf - 201600*s7b*sinf + 604800*li6half*sinf^2 + 
    604800*li5half*ln2*sinf^2 + 302400*li4half*ln2^2*sinf^2 + 
    8400*ln2^6*sinf^2 + 151200*s6*sinf^2 + 67200*li5half*sinf^3 + 
    67200*li4half*ln2*sinf^3 + 2240*ln2^5*sinf^3 - 1814400*li6half*z2 - 
    1814400*li5half*ln2*z2 - 907200*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 
    2469600*s6*z2 - 806400*li5half*sinf*z2 - 806400*li4half*ln2*sinf*z2 - 
    67200*ln2^5*sinf*z2 - 100800*li4half*sinf^2*z2 - 42000*ln2^4*sinf^2*z2 - 
    11200*ln2^3*sinf^3*z2 + 60480*li4half*z2^2 + 115920*ln2^4*z2^2 + 
    134400*ln2^3*sinf*z2^2 + 25200*ln2^2*sinf^2*z2^2 + 146160*ln2^2*z2^3 - 
    35280*ln2*sinf*z2^3 - 80760*sinf^2*z2^3 - 254904*z2^4 - 
    268800*li5half*z3 + 1344000*li4half*ln2*z3 + 87640*ln2^5*z3 + 
    453600*li4half*sinf*z3 + 107100*ln2^4*sinf*z3 + 88200*ln2^3*sinf^2*z3 + 
    29400*ln2^2*sinf^3*z3 - 623000*ln2^3*z2*z3 - 466200*ln2^2*sinf*z2*z3 - 
    88200*ln2*sinf^2*z2*z3 - 16800*sinf^3*z2*z3 - 693000*ln2*z2^2*z3 - 
    133560*sinf*z2^2*z3 + 1092000*ln2^2*z3^2 + 453600*ln2*sinf*z3^2 - 
    14175*sinf^2*z3^2 - 195825*z2*z3^2 + 520800*ln2^3*z5 - 
    292950*ln2*sinf^2*z5 - 34650*sinf^3*z5 + 904050*ln2*z2*z5 + 
    1008000*sinf*z2*z5 + 371700*z3*z5 - 1587600*ln2*z7 - 2401875*sinf*z7)/
   201600, H[1, 1, 1, 0, -1, 1, 1, 1, 1] -> 
  (28224000*li4half^2 + 56448000*li8half - 47600*ln2^8 - 12096000*ln2^2*s6 + 
    110388600*s8a + 1324512000*s8b + 24192000*s8c + 116928000*s8d + 
    56448000*li7half*sinf - 11200*ln2^7*sinf + 104832000*ln2*s6*sinf - 
    104832000*s7a*sinf + 106848000*s7b*sinf - 84672000*li6half*sinf^2 - 
    117600*ln2^6*sinf^2 + 63504000*s6*sinf^2 + 28224000*li5half*sinf^3 - 
    235200*ln2^5*sinf^3 + 84672000*li6half*z2 + 666400*ln2^6*z2 - 
    367920000*s6*z2 - 84672000*li5half*sinf*z2 + 940800*ln2^5*sinf*z2 + 
    1764000*ln2^4*sinf^2*z2 + 23385600*li4half*z2^2 - 2553600*ln2^4*z2^2 - 
    10113600*ln2^3*sinf*z2^2 - 13759200*ln2^2*sinf^2*z2^2 + 
    1411200*ln2*sinf^3*z2^2 - 43495200*ln2^2*z2^3 - 124236000*ln2*sinf*z2^3 - 
    1612800*sinf^2*z2^3 - 39279024*z2^4 - 177408000*li5half*z3 - 
    168000*ln2^5*z3 - 2058000*ln2^4*sinf*z3 - 3024000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 - 8232000*sinf^3*z2*z3 - 23940000*ln2*z2^2*z3 - 
    46771200*sinf*z2^2*z3 - 3402000*ln2^2*z3^2 - 131040000*ln2*sinf*z3^2 + 
    882000*sinf^2*z3^2 - 68124000*z2*z3^2 - 205065000*ln2^2*sinf*z5 - 
    294000*sinf^3*z5 - 72576000*ln2*z2*z5 - 319599000*sinf*z2*z5 - 
    259707000*z3*z5 + 1072551375*sinf*z7)/56448000, 
 H[1, 1, 1, 0, -1, 1, 1, 0, 1] -> (-1128960*li4half^2 - 94080*li4half*ln2^4 - 
    1960*ln2^8 - 2136960*ln2^2*s6 + 4267935*s8a - 28203840*s8b + 
    4273920*s8c - 4273920*s8d - 5806080*ln2*s6*sinf + 5806080*s7a*sinf - 
    2096640*s7b*sinf - 5927040*s6*sinf^2 - 1505280*li5half*sinf^3 + 
    12544*ln2^5*sinf^3 - 2257920*li6half*z2 - 3136*ln2^6*z2 + 
    22942080*s6*z2 + 11289600*li5half*sinf*z2 - 94080*ln2^5*sinf*z2 - 
    3386880*li4half*sinf^2*z2 - 141120*ln2^4*sinf^2*z2 - 
    125440*ln2^3*sinf^3*z2 - 290304*li4half*z2^2 + 105504*ln2^4*z2^2 + 
    940800*ln2^3*sinf*z2^2 + 1481760*ln2^2*sinf^2*z2^2 + 
    65856*ln2*sinf^3*z2^2 + 866880*ln2^2*z2^3 + 4386816*ln2*sinf*z2^3 + 
    908544*sinf^2*z2^3 - 95952*z2^4 - 1236480*li5half*z3 + 
    282240*li4half*ln2*z3 + 22064*ln2^5*z3 + 6773760*li4half*sinf*z3 + 
    282240*ln2^4*sinf*z3 - 996800*ln2^3*z2*z3 - 2187360*ln2^2*sinf*z2*z3 + 
    23520*sinf^3*z2*z3 - 3954216*ln2*z2^2*z3 - 2777040*sinf*z2^2*z3 - 
    477540*ln2^2*z3^2 + 7504560*ln2*sinf*z3^2 + 2178540*sinf^2*z3^2 - 
    9032520*z2*z3^2 + 7655760*ln2^2*sinf*z5 + 582120*sinf^3*z5 - 
    12821760*ln2*z2*z5 + 5470920*sinf*z2*z5 + 29168055*z3*z5 - 
    26347860*sinf*z7)/2257920, H[1, 1, 1, 0, -1, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 + 1919232000*li8half + 1128960000*li7half*ln2 + 
    282240000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 49000*ln2^8 - 52416000*ln2^2*s6 + 
    104832000*ln2*s7a - 106848000*ln2*s7b + 232118775*s8a + 1545768000*s8b + 
    106848000*s8c + 104832000*s8d + 1072512000*li7half*sinf + 
    564480000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf + 22400*ln2^7*sinf - 74592000*ln2*s6*sinf + 
    286272000*s7a*sinf - 348768000*s7b*sinf + 254016000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 + 
    105840000*s6*sinf^2 - 9408000*li5half*sinf^3 + 
    9408000*li4half*ln2*sinf^3 + 470400*ln2^5*sinf^3 - 536256000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    527184000*s6*z2 - 84672000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 1881600*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    3136000*ln2^3*sinf^3*z2 + 28022400*li4half*z2^2 + 2343600*ln2^4*z2^2 + 
    7056000*ln2^3*sinf*z2^2 + 33868800*ln2^2*sinf^2*z2^2 - 
    940800*ln2*sinf^3*z2^2 + 112644000*ln2^2*z2^3 + 28879200*ln2*sinf*z2^3 - 
    23536800*sinf^2*z2^3 - 76717296*z2^4 - 30912000*li5half*z3 + 
    68208000*li4half*ln2*z3 + 4746000*ln2^5*z3 + 49392000*li4half*sinf*z3 + 
    4116000*ln2^4*sinf*z3 - 36092000*ln2^3*z2*z3 - 
    24696000*ln2^2*sinf*z2*z3 - 114059400*ln2*z2^2*z3 + 
    75574800*sinf*z2^2*z3 + 87129000*ln2^2*z3^2 + 300069000*ln2*sinf*z3^2 - 
    39690000*sinf^2*z3^2 - 52794000*z2*z3^2 + 136710000*ln2^3*z5 + 
    410130000*ln2^2*sinf*z5 - 205065000*ln2*sinf^2*z5 + 4851000*sinf^3*z5 + 
    410067000*ln2*z2*z5 + 1234863000*sinf*z2*z5 - 304833375*z3*z5 - 
    1919271375*ln2*z7 - 2909725875*sinf*z7)/56448000, 
 H[1, 1, 1, 0, -1, 1, 0, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    6048000*ln2^2*s6 - 2642850*s8a - 48384000*s8b + 12096000*s8c - 
    12096000*s8d - 16416000*ln2*s6*sinf + 16416000*s7a*sinf + 
    16416000*s7b*sinf - 6048000*s6*sinf^2 + 8064000*li6half*z2 - 
    2016000*li4half*ln2^2*z2 - 72800*ln2^6*z2 + 50400000*s6*z2 + 
    8064000*li5half*sinf*z2 - 67200*ln2^5*sinf*z2 - 
    12096000*li4half*sinf^2*z2 - 504000*ln2^4*sinf^2*z2 - 
    15523200*li4half*z2^2 - 58800*ln2^4*z2^2 + 672000*ln2^3*sinf*z2^2 + 
    3024000*ln2^2*sinf^2*z2^2 - 504000*ln2*sinf^3*z2^2 + 3578400*ln2^2*z2^3 + 
    7380000*ln2*sinf*z2^3 + 5270400*sinf^2*z2^3 + 15730704*z2^4 + 
    8064000*li5half*z3 - 2016000*li4half*ln2*z3 - 151200*ln2^5*z3 + 
    48384000*li4half*sinf*z3 + 2016000*ln2^4*sinf*z3 - 1176000*ln2^3*z2*z3 - 
    15624000*ln2^2*sinf*z2*z3 + 3360000*sinf^3*z2*z3 - 5922000*ln2*z2^2*z3 - 
    7340400*sinf*z2^2*z3 - 2583000*ln2^2*z3^2 + 18756000*ln2*sinf*z3^2 - 
    8001000*sinf^2*z3^2 - 5880000*z2*z3^2 - 5397000*sinf^3*z5 - 
    36288000*ln2*z2*z5 - 21825000*sinf*z2*z5 - 52736250*z3*z5 + 
    7610625*sinf*z7)/8064000, H[1, 1, 1, 0, -1, 1, 0, 0, 1] -> 
  (672000*ln2^2*s6 - 2521575*s8a + 12432000*s8b - 1344000*s8c + 1344000*s8d + 
    2400000*ln2*s6*sinf - 2400000*s7a*sinf - 2400000*s7b*sinf + 
    3360000*s6*sinf^2 - 10752000*s6*z2 + 2688000*li4half*sinf^2*z2 + 
    112000*ln2^4*sinf^2*z2 + 772800*li4half*z2^2 + 32200*ln2^4*z2^2 - 
    672000*ln2^2*sinf^2*z2^2 - 504000*ln2*sinf^3*z2^2 - 159600*ln2^2*z2^3 - 
    852000*ln2*sinf*z2^3 - 990400*sinf^2*z2^3 + 369148*z2^4 - 
    1344000*li5half*z3 - 1008000*li4half*ln2*z3 - 30800*ln2^5*z3 - 
    9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 + 140000*ln2^3*z2*z3 + 
    2352000*ln2^2*sinf*z2*z3 - 84000*sinf^3*z2*z3 + 802200*ln2*z2^2*z3 + 
    4558200*sinf*z2^2*z3 - 252000*ln2^2*z3^2 - 3882000*ln2*sinf*z3^2 - 
    556500*sinf^2*z3^2 + 2950500*z2*z3^2 + 1197000*sinf^3*z5 + 
    4032000*ln2*z2*z5 - 4164000*sinf*z2*z5 - 6580875*z3*z5 + 1297500*sinf*z7)/
   1344000, H[1, 1, 1, 0, -1, 1, 0, -1, 1] -> 
  (28224000*li4half^2 - 2257920000*li8half - 1806336000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    16464000*li4half*ln2^4 - 119000*ln2^8 - 7056000*ln2^2*s6 - 
    350784000*ln2*s7a + 171360000*ln2*s7b - 277878825*s8a - 2813832000*s8b + 
    122976000*s8c - 574560000*s8d - 1806336000*li7half*sinf - 
    1354752000*li6half*ln2*sinf - 451584000*li5half*ln2^2*sinf - 
    75264000*li4half*ln2^3*sinf - 896000*ln2^7*sinf - 352800000*ln2*s6*sinf - 
    239904000*s7a*sinf + 282240000*s7b*sinf - 677376000*li6half*sinf^2 - 
    451584000*li5half*ln2*sinf^2 - 112896000*li4half*ln2^2*sinf^2 - 
    1881600*ln2^6*sinf^2 - 366912000*s6*sinf^2 - 150528000*li5half*sinf^3 - 
    75264000*li4half*ln2*sinf^3 - 1881600*ln2^5*sinf^3 + 
    1382976000*li6half*z2 + 903168000*li5half*ln2*z2 + 
    197568000*li4half*ln2^2*z2 + 2940000*ln2^6*z2 + 2108736000*s6*z2 + 
    931392000*li5half*sinf*z2 + 451584000*li4half*ln2*sinf*z2 + 
    12936000*ln2^5*sinf*z2 + 70560000*li4half*sinf^2*z2 + 
    7644000*ln2^4*sinf^2*z2 + 6272000*ln2^3*sinf^3*z2 - 
    71164800*li4half*z2^2 - 7669200*ln2^4*z2^2 - 35280000*ln2^3*sinf*z2^2 - 
    17640000*ln2^2*sinf^2*z2^2 - 31987200*ln2*sinf^3*z2^2 - 
    45612000*ln2^2*z2^3 + 56044800*ln2*sinf*z2^3 + 40269600*sinf^2*z2^3 + 
    157332888*z2^4 + 22512000*li5half*z3 - 482160000*li4half*ln2*z3 - 
    20277600*ln2^5*z3 - 289296000*li4half*sinf*z3 - 12054000*ln2^4*sinf*z3 + 
    114184000*ln2^3*z2*z3 + 59976000*ln2^2*sinf*z2*z3 - 
    2940000*sinf^3*z2*z3 + 73000200*ln2*z2^2*z3 + 34750800*sinf*z2^2*z3 - 
    392490000*ln2^2*z3^2 - 173313000*ln2*sinf*z3^2 + 143104500*sinf^2*z3^2 - 
    226222500*z2*z3^2 - 291648000*ln2^3*z5 + 136710000*ln2^2*sinf*z5 + 
    642537000*ln2*sinf^2*z5 + 160818000*sinf^3*z5 - 2173689000*ln2*z2*z5 - 
    1934667000*sinf*z2*z5 + 382627875*z3*z5 + 2820549375*ln2*z7 + 
    3432413250*sinf*z7)/56448000, H[1, 1, 1, 0, -1, 1, -1, 1, 1] -> 
  (3386880*li4half^2 - 40642560*li8half + 6773760*li6half*ln2^2 + 
    1505280*li5half*ln2^3 + 94080*li4half*ln2^4 - 6104*ln2^8 + 
    14878080*ln2^2*s6 - 29268540*s8a - 140192640*s8b - 24675840*s8c - 
    2983680*s8d - 27095040*li7half*sinf + 2257920*li5half*ln2^2*sinf - 
    752640*li4half*ln2^3*sinf - 44800*ln2^7*sinf + 8547840*ln2*s6*sinf - 
    8547840*s7a*sinf - 3467520*s7b*sinf + 10160640*li6half*sinf^2 - 
    564480*li4half*ln2^2*sinf^2 - 9408*ln2^6*sinf^2 + 1975680*s6*sinf^2 - 
    1128960*li5half*sinf^3 + 9408*ln2^5*sinf^3 - 16934400*li6half*z2 - 
    4515840*li5half*ln2*z2 + 73696*ln2^6*z2 + 15281280*s6*z2 + 
    1128960*li5half*sinf*z2 + 2257920*li4half*ln2*sinf*z2 + 
    348096*ln2^5*sinf*z2 + 564480*li4half*sinf^2*z2 - 47040*ln2^4*sinf^2*z2 + 
    282240*ln2^3*sinf^3*z2 - 1104768*li4half*z2^2 - 281232*ln2^4*z2^2 + 
    18816*ln2^3*sinf*z2^2 - 366912*ln2^2*sinf^2*z2^2 - 
    197568*ln2*sinf^3*z2^2 - 2090592*ln2^2*z2^3 - 4461408*ln2*sinf*z2^3 - 
    1183392*sinf^2*z2^3 + 1814472*z2^4 + 11612160*li5half*z3 + 
    564480*li4half*ln2*z3 - 204960*ln2^5*z3 - 3951360*li4half*sinf*z3 - 
    823200*ln2^4*sinf*z3 - 987840*ln2^3*sinf^2*z3 - 493920*ln2^2*sinf^3*z3 + 
    3884160*ln2^3*z2*z3 + 6420960*ln2^2*sinf*z2*z3 + 
    2963520*ln2*sinf^2*z2*z3 + 635040*sinf^3*z2*z3 + 23543856*ln2*z2^2*z3 + 
    8109360*sinf*z2^2*z3 + 2764440*ln2^2*z3^2 - 10190880*ln2*sinf*z3^2 - 
    3704400*sinf^2*z3^2 + 27415080*z2*z3^2 - 3281040*ln2^3*z5 - 
    9843120*ln2^2*sinf*z5 - 170520*sinf^3*z5 + 83870640*ln2*z2*z5 + 
    15460200*sinf*z2*z5 - 28431480*z3*z5 - 26606475*sinf*z7)/2257920, 
 H[1, 1, 1, 0, -1, 1, -1, 0, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 - 
    10080000*ln2^2*s6 + 3694950*s8a + 239400000*s8b + 20160000*s8c - 
    20160000*s8d + 197568000*s7b*sinf + 70560000*s6*sinf^2 + 
    37632000*li5half*sinf^3 - 313600*ln2^5*sinf^3 + 282240000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 - 19600*ln2^6*z2 + 
    65016000*s6*z2 - 225792000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 + 117600*ln2^5*sinf*z2 - 7056000*li4half*sinf^2*z2 - 
    294000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 + 
    21369600*li4half*z2^2 + 2948400*ln2^4*z2^2 - 8232000*ln2^3*sinf*z2^2 - 
    14112000*ln2^2*sinf^2*z2^2 + 5409600*ln2*sinf^3*z2^2 - 
    28375200*ln2^2*z2^3 - 705600*ln2*sinf*z2^3 + 4998000*sinf^2*z2^3 - 
    12978408*z2^4 + 164976000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    2550800*ln2^5*z3 + 45864000*li4half*sinf*z3 + 1911000*ln2^4*sinf*z3 + 
    12572000*ln2^3*z2*z3 - 60858000*ln2^2*sinf*z2*z3 - 
    55566000*ln2*sinf^2*z2*z3 - 8526000*sinf^3*z2*z3 + 48405000*ln2*z2^2*z3 - 
    95608800*sinf*z2^2*z3 - 15183000*ln2^2*z3^2 - 24696000*ln2*sinf*z3^2 + 
    8048250*sinf^2*z3^2 - 78366750*z2*z3^2 - 191394000*ln2^2*sinf*z5 - 
    14112000*sinf^3*z5 - 245038500*ln2*z2*z5 - 561172500*sinf*z2*z5 - 
    168249375*z3*z5 + 1420295625*sinf*z7)/28224000, 
 H[1, 1, 1, 0, -1, 1, -1, -1, 1] -> 
  (-395136000*li8half - 903168000*li7half*ln2 - 451584000*li6half*ln2^2 - 
    94080000*li5half*ln2^3 - 2352000*li4half*ln2^4 + 228200*ln2^8 - 
    240912000*ln2^2*s6 - 108864000*ln2*s7a + 173376000*ln2*s7b + 
    193553325*s8a + 917784000*s8b + 276192000*s8c - 22176000*s8d - 
    225792000*li7half*sinf - 564480000*li6half*ln2*sinf - 
    225792000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf + 
    750400*ln2^7*sinf - 292320000*ln2*s6*sinf - 4032000*s7a*sinf + 
    108864000*s7b*sinf - 423360000*li6half*sinf^2 - 
    169344000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    352800*ln2^6*sinf^2 - 211680000*s6*sinf^2 - 47040000*li5half*sinf^3 - 
    28224000*li4half*ln2*sinf^3 - 784000*ln2^5*sinf^3 + 
    705600000*li6half*z2 + 395136000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 1293600*ln2^6*z2 + 277200000*s6*z2 + 
    310464000*li5half*sinf*z2 + 141120000*li4half*ln2*sinf*z2 - 
    2352000*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 + 
    3528000*ln2^4*sinf^2*z2 - 3920000*ln2^3*sinf^3*z2 + 
    18144000*li4half*z2^2 + 4872000*ln2^4*z2^2 - 18580800*ln2^3*sinf*z2^2 - 
    7056000*ln2^2*sinf^2*z2^2 - 11524800*ln2*sinf^3*z2^2 + 
    28980000*ln2^2*z2^3 + 80640000*ln2*sinf*z2^3 + 24847200*sinf^2*z2^3 + 
    19333512*z2^4 - 360192000*li5half*z3 - 162288000*li4half*ln2*z3 - 
    467600*ln2^5*z3 - 141120000*li4half*sinf*z3 + 10584000*ln2^4*sinf*z3 + 
    24696000*ln2^3*sinf^2*z3 + 12348000*ln2^2*sinf^3*z3 - 
    48832000*ln2^3*z2*z3 - 63504000*ln2^2*sinf*z2*z3 - 
    37044000*ln2*sinf^2*z2*z3 - 12348000*sinf^3*z2*z3 - 
    294289800*ln2*z2^2*z3 + 17917200*sinf*z2^2*z3 - 126409500*ln2^2*z3^2 + 
    44352000*ln2*sinf*z3^2 + 107163000*sinf^2*z3^2 - 396994500*z2*z3^2 - 
    82026000*ln2^3*z5 + 341775000*ln2^2*sinf*z5 + 328104000*ln2*sinf^2*z5 + 
    72618000*sinf^3*z5 - 2125935000*ln2*z2*z5 - 869274000*sinf*z2*z5 + 
    600355875*z3*z5 + 2119272750*ln2*z7 + 1223176500*sinf*z7)/56448000, 
 H[1, 1, 1, 0, -1, 0, 1, 1, 1] -> (-403200*li4half^2 - 33600*li4half*ln2^4 - 
    700*ln2^8 - 710325*s8a - 403200*ln2*s6*sinf + 403200*s7a*sinf + 
    403200*s7b*sinf + 201600*li4half*ln2^2*z2 + 8400*ln2^6*z2 - 
    866880*li4half*z2^2 - 61320*ln2^4*z2^2 + 216720*ln2^2*z2^3 + 
    70560*ln2*sinf*z2^3 + 122400*sinf^2*z2^3 + 967068*z2^4 + 
    806400*li5half*z3 + 100800*li4half*ln2*z3 - 2520*ln2^5*z3 + 
    806400*li4half*sinf*z3 + 33600*ln2^4*sinf*z3 + 42000*ln2^3*z2*z3 - 
    201600*ln2^2*sinf*z2*z3 + 92400*sinf^3*z2*z3 - 758520*ln2*z2^2*z3 + 
    362880*sinf*z2^2*z3 + 44100*ln2^2*z3^2 + 592200*ln2*sinf*z3^2 - 
    393750*sinf^2*z3^2 + 534450*z2*z3^2 - 172200*sinf^3*z5 - 
    667800*sinf*z2*z5 - 4576425*z3*z5 - 874125*sinf*z7)/806400, 
 H[1, 1, 1, 0, -1, 0, 1, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 + 2515275*s8a + 8064000*ln2*s6*sinf - 8064000*s7a*sinf - 
    8064000*s7b*sinf - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    2318400*li4half*z2^2 + 407400*ln2^4*z2^2 + 579600*ln2^2*z2^3 - 
    1411200*ln2*sinf*z2^3 + 244800*sinf^2*z2^3 - 1690596*z2^4 - 
    8064000*li5half*z3 + 6048000*li4half*ln2*z3 + 319200*ln2^5*z3 - 
    8064000*li4half*sinf*z3 - 336000*ln2^4*sinf*z3 - 2184000*ln2^3*z2*z3 + 
    2016000*ln2^2*sinf*z2*z3 + 504000*sinf^3*z2*z3 - 2028600*ln2*z2^2*z3 + 
    4372200*sinf*z2^2*z3 + 2646000*ln2^2*z3^2 - 4788000*ln2*sinf*z3^2 + 
    315000*sinf^2*z3^2 - 3370500*z2*z3^2 - 1344000*sinf^3*z5 + 
    24066000*sinf*z2*z5 + 20346375*z3*z5 - 48817125*sinf*z7)/4032000, 
 H[1, 1, 1, 0, -1, 0, 1, -1, 1] -> (28224000*li4half^2 + 1128960000*li8half + 
    903168000*li7half*ln2 + 338688000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 + 11760000*li4half*ln2^4 + 133000*ln2^8 + 
    45360000*ln2^2*s6 + 78624000*ln2*s7a - 231840000*ln2*s7b + 
    226543275*s8a + 1883448000*s8b + 6048000*s8c + 360864000*s8d + 
    903168000*li7half*sinf + 677376000*li6half*ln2*sinf + 
    225792000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    448000*ln2^7*sinf + 163296000*ln2*s6*sinf + 90720000*s7a*sinf - 
    219744000*s7b*sinf + 338688000*li6half*sinf^2 + 
    225792000*li5half*ln2*sinf^2 + 56448000*li4half*ln2^2*sinf^2 + 
    940800*ln2^6*sinf^2 + 127008000*s6*sinf^2 + 75264000*li5half*sinf^3 + 
    37632000*li4half*ln2*sinf^3 + 940800*ln2^5*sinf^3 - 
    677376000*li6half*z2 - 366912000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 1159200000*s6*z2 - 
    451584000*li5half*sinf*z2 - 141120000*li4half*ln2*sinf*z2 - 
    3057600*ln2^5*sinf*z2 - 56448000*li4half*sinf^2*z2 - 
    4704000*ln2^4*sinf^2*z2 - 3136000*ln2^3*sinf^3*z2 + 
    51004800*li4half*z2^2 - 5518800*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 + 
    14112000*ln2^2*sinf^2*z2^2 + 15993600*ln2*sinf^3*z2^2 + 
    19908000*ln2^2*z2^3 - 96616800*ln2*sinf*z2^3 - 22680000*sinf^2*z2^3 - 
    96103296*z2^4 - 232512000*li5half*z3 + 68208000*li4half*ln2*z3 + 
    4779600*ln2^5*z3 + 141120000*li4half*sinf*z3 + 5880000*ln2^4*sinf*z3 + 
    616000*ln2^3*z2*z3 + 38808000*ln2^2*sinf*z2*z3 - 
    26460000*ln2*sinf^2*z2*z3 + 10584000*sinf^3*z2*z3 - 
    25884600*ln2*z2^2*z3 + 1083600*sinf*z2^2*z3 + 113085000*ln2^2*z3^2 + 
    144711000*ln2*sinf*z3^2 - 58653000*sinf^2*z3^2 - 31437000*z2*z3^2 + 
    236964000*ln2^3*z5 + 109368000*ln2^2*sinf*z5 - 191394000*ln2*sinf^2*z5 - 
    97314000*sinf^3*z5 + 983934000*ln2*z2*z5 + 1138536000*sinf*z2*z5 + 
    257058375*z3*z5 - 2003644125*ln2*z7 - 2041207875*sinf*z7)/56448000, 
 H[1, 1, 1, 0, -1, 0, 0, 1, 1] -> (-1008000*li4half^2 - 84000*li4half*ln2^4 - 
    1750*ln2^8 + 721350*s8a - 1008000*ln2*s6*sinf + 1008000*s7a*sinf + 
    1008000*s7b*sinf + 504000*li4half*ln2^2*z2 + 21000*ln2^6*z2 + 
    100800*li4half*z2^2 - 58800*ln2^4*z2^2 - 25200*ln2^2*z2^3 + 
    176400*ln2*sinf*z2^3 - 385800*sinf^2*z2^3 - 964284*z2^4 + 
    1008000*li5half*z3 - 756000*li4half*ln2*z3 - 39900*ln2^5*z3 + 
    1008000*li4half*sinf*z3 + 42000*ln2^4*sinf*z3 + 273000*ln2^3*z2*z3 - 
    252000*ln2^2*sinf*z2*z3 - 441000*sinf^3*z2*z3 + 88200*ln2*z2^2*z3 - 
    2072700*sinf*z2^2*z3 - 330750*ln2^2*z3^2 + 598500*ln2*sinf*z3^2 + 
    1094625*sinf^2*z3^2 - 1244250*z2*z3^2 + 871500*sinf^3*z5 - 
    6867000*sinf*z2*z5 + 7082250*z3*z5 + 17529750*sinf*z7)/1008000, 
 H[1, 1, 1, 0, -1, 0, 0, 0, 1] -> (498225*s8a - 504000*li4half*z2^2 - 
    21000*ln2^4*z2^2 + 126000*ln2^2*z2^3 + 195200*sinf^2*z2^3 + 66476*z2^4 - 
    441000*ln2*z2^2*z3 + 63000*sinf*z2^2*z3 - 252000*sinf^2*z3^2 + 
    745500*z2*z3^2 - 420000*sinf^3*z5 + 4074000*sinf*z2*z5 - 2023875*z3*z5 - 
    5719875*sinf*z7)/672000, H[1, 1, 1, 0, -1, 0, 0, -1, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 - 4334400*ln2^2*s6 + 
    8668800*ln2*s7a + 1612800*ln2*s7b + 3874500*s8a + 34473600*s8b - 
    1612800*s8c + 8668800*s8d + 1209600*ln2*s6*sinf + 5846400*s7a*sinf - 
    1209600*s7b*sinf + 3528000*s6*sinf^2 - 1411200*li4half*ln2^2*z2 - 
    58800*ln2^6*z2 - 27921600*s6*z2 - 1723680*li4half*z2^2 + 
    104580*ln2^4*z2^2 + 2164680*ln2^2*z2^3 - 211680*ln2*sinf*z2^3 + 
    568680*sinf^2*z2^3 - 2143182*z2^4 - 15220800*li5half*z3 + 
    7056000*li4half*ln2*z3 + 420840*ln2^5*z3 + 2116800*li4half*sinf*z3 + 
    88200*ln2^4*sinf*z3 - 3032400*ln2^3*z2*z3 - 529200*ln2^2*sinf*z2*z3 - 
    352800*sinf^3*z2*z3 - 9113580*ln2*z2^2*z3 - 137340*sinf*z2^2*z3 + 
    8505000*ln2^2*z3^2 + 2192400*ln2*sinf*z3^2 - 992250*sinf^2*z3^2 + 
    2675925*z2*z3^2 + 4557000*ln2^3*z5 - 6835500*ln2*sinf^2*z5 + 
    749700*sinf^3*z5 + 13992300*ln2*z2*z5 + 6552000*sinf*z2*z5 + 
    11122650*z3*z5 + 5961375*ln2*z7 - 6717375*sinf*z7)/2822400, 
 H[1, 1, 1, 0, -1, 0, -1, 1, 1] -> (-7660800*li4half^2 - 3225600*li8half + 
    1612800*li6half*ln2^2 + 1075200*li5half*ln2^3 - 235200*li4half*ln2^4 - 
    3300*ln2^8 - 1209600*ln2^2*s6 + 2001825*s8a - 4132800*s8b + 3225600*s8c - 
    4032000*s8d - 3225600*li7half*sinf + 1612800*li5half*ln2^2*sinf + 
    1075200*li4half*ln2^3*sinf + 32000*ln2^7*sinf - 4665600*ln2*s6*sinf + 
    4665600*s7a*sinf + 5472000*s7b*sinf - 1612800*li6half*sinf^2 + 
    806400*li4half*ln2^2*sinf^2 + 31360*ln2^6*sinf^2 - 403200*s6*sinf^2 - 
    537600*li5half*sinf^3 + 4480*ln2^5*sinf^3 - 4435200*li5half*ln2*z2 - 
    604800*li4half*ln2^2*z2 - 30800*ln2^6*z2 + 8467200*s6*z2 - 
    4435200*li4half*ln2*sinf*z2 - 332640*ln2^5*sinf*z2 - 
    806400*li4half*sinf^2*z2 - 201600*ln2^4*sinf^2*z2 - 
    44800*ln2^3*sinf^3*z2 + 1189440*li4half*z2^2 + 309960*ln2^4*z2^2 + 
    1108800*ln2^3*sinf*z2^2 + 201600*ln2^2*sinf^2*z2^2 - 
    228480*ln2*sinf^3*z2^2 - 539280*ln2^2*z2^3 + 1788480*ln2*sinf*z2^3 + 
    220320*sinf^2*z2^3 + 1221552*z2^4 + 13944000*li5half*z3 - 
    806400*li4half*ln2*z3 - 55720*ln2^5*z3 + 6955200*li4half*sinf*z3 + 
    642600*ln2^4*sinf*z3 + 470400*ln2^3*sinf^2*z3 + 235200*ln2^2*sinf^3*z3 - 
    576800*ln2^3*z2*z3 - 5619600*ln2^2*sinf*z2*z3 - 
    1033200*ln2*sinf^2*z2*z3 - 268800*sinf^3*z2*z3 + 160440*ln2*z2^2*z3 - 
    6232680*sinf*z2^2*z3 - 840000*ln2^2*z3^2 + 5126400*ln2*sinf*z3^2 + 
    1206450*sinf^2*z3^2 - 2752050*z2*z3^2 - 520800*ln2^3*z5 - 
    1562400*ln2^2*sinf*z5 + 1083600*sinf^3*z5 - 7093800*ln2*z2*z5 - 
    18568800*sinf*z2*z5 - 5177025*z3*z5 + 47279475*sinf*z7)/806400, 
 H[1, 1, 1, 0, -1, 0, -1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 335475*s8a + 
    16128000*ln2*s6*sinf - 16128000*s7a*sinf - 16128000*s7b*sinf + 
    12096000*li6half*z2 + 12096000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 3024000*s6*z2 + 
    12096000*li5half*sinf*z2 + 12096000*li4half*ln2*sinf*z2 + 
    403200*ln2^5*sinf*z2 + 6048000*li4half*sinf^2*z2 + 
    252000*ln2^4*sinf^2*z2 - 9172800*li4half*z2^2 - 130200*ln2^4*z2^2 - 
    2016000*ln2^3*sinf*z2^2 - 1512000*ln2^2*sinf^2*z2^2 + 
    2293200*ln2^2*z2^3 - 2822400*ln2*sinf*z2^3 - 1234800*sinf^2*z2^3 - 
    115614*z2^4 - 24192000*li5half*z3 + 4032000*li4half*ln2*z3 + 
    369600*ln2^5*z3 - 24192000*li4half*sinf*z3 - 1008000*ln2^4*sinf*z3 - 
    1260000*ln2^3*z2*z3 + 11340000*ln2^2*sinf*z2*z3 + 
    5292000*ln2*sinf^2*z2*z3 + 924000*sinf^3*z2*z3 - 8026200*ln2*z2^2*z3 + 
    15687000*sinf*z2^2*z3 + 1764000*ln2^2*z3^2 - 16632000*ln2*sinf*z3^2 - 
    3024000*sinf^2*z3^2 + 4005750*z2*z3^2 - 1932000*sinf^3*z5 - 
    5859000*ln2*z2*z5 + 49140000*sinf*z2*z5 + 8791125*z3*z5 - 
    129740625*sinf*z7)/2016000, H[1, 1, 1, 0, -1, 0, -1, -1, 1] -> 
  (98784000*li4half^2 - 451584000*li8half - 451584000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    10584000*li4half*ln2^4 - 220500*ln2^8 + 44856000*ln2^2*s6 - 
    89712000*ln2*s7a + 2016000*ln2*s7b - 28187775*s8a - 509040000*s8b - 
    2016000*s8c - 89712000*s8d - 338688000*li7half*sinf - 
    338688000*li6half*ln2*sinf - 169344000*li5half*ln2^2*sinf - 
    56448000*li4half*ln2^3*sinf - 1344000*ln2^7*sinf + 40320000*ln2*s6*sinf - 
    103824000*s7a*sinf - 40320000*s7b*sinf - 112896000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 - 56448000*li4half*ln2^2*sinf^2 - 
    1568000*ln2^6*sinf^2 - 17640000*s6*sinf^2 - 18816000*li5half*sinf^3 - 
    18816000*li4half*ln2*sinf^3 - 627200*ln2^5*sinf^3 + 
    282240000*li6half*z2 + 282240000*li5half*ln2*z2 + 
    91728000*li4half*ln2^2*z2 + 3430000*ln2^6*z2 + 274680000*s6*z2 + 
    169344000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    11289600*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 + 
    8232000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 - 
    76507200*li4half*z2^2 - 14653800*ln2^4*z2^2 - 28224000*ln2^3*sinf*z2^2 - 
    7056000*ln2^2*sinf^2*z2^2 + 1184400*ln2^2*z2^3 - 7056000*ln2*sinf*z2^3 + 
    16405200*sinf^2*z2^3 + 15133716*z2^4 - 66360000*li5half*z3 - 
    72912000*li4half*ln2*z3 - 5777800*ln2^5*z3 - 109368000*li4half*sinf*z3 - 
    16905000*ln2^4*sinf*z3 - 16464000*ln2^3*sinf^2*z3 - 
    8232000*ln2^2*sinf^3*z3 + 53858000*ln2^3*z2*z3 + 
    101430000*ln2^2*sinf*z2*z3 + 24696000*ln2*sinf^2*z2*z3 + 
    7056000*sinf^3*z2*z3 + 16556400*ln2*z2^2*z3 + 57015000*sinf*z2^2*z3 - 
    87969000*ln2^2*z3^2 - 84357000*ln2*sinf*z3^2 - 10253250*sinf^2*z3^2 + 
    25877250*z2*z3^2 - 59241000*ln2^3*z5 + 34177500*ln2*sinf^2*z5 + 
    5365500*sinf^3*z5 - 98437500*ln2*z2*z5 + 66181500*sinf*z2*z5 + 
    69919500*z3*z5 + 203655375*ln2*z7 - 178305750*sinf*z7)/28224000, 
 H[1, 1, 1, 0, -1, -1, 1, 1, 1] -> (-84672000*li4half^2 + 225792000*li8half + 
    18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 93800*ln2^8 - 
    73584000*ln2^2*s6 + 227116575*s8a + 1544760000*s8b + 147168000*s8c + 
    163296000*s8d + 169344000*li7half*sinf + 9408000*li4half*ln2^3*sinf + 
    358400*ln2^7*sinf + 80640000*ln2*s6*sinf - 80640000*s7a*sinf + 
    145152000*s7b*sinf - 169344000*li6half*sinf^2 - 235200*ln2^6*sinf^2 - 
    21168000*s6*sinf^2 + 47040000*li5half*sinf^3 - 392000*ln2^5*sinf^3 + 
    169344000*li6half*z2 - 56448000*li5half*ln2*z2 - 235200*ln2^6*z2 - 
    460656000*s6*z2 - 141120000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 - 1646400*ln2^5*sinf*z2 + 3528000*ln2^4*sinf^2*z2 - 
    784000*ln2^3*sinf^3*z2 + 35481600*li4half*z2^2 - 1461600*ln2^4*z2^2 - 
    10819200*ln2^3*sinf*z2^2 - 11642400*ln2^2*sinf^2*z2^2 + 
    9408000*ln2*sinf^3*z2^2 - 38707200*ln2^2*z2^3 + 9273600*ln2*sinf*z2^3 + 
    22780800*sinf^2*z2^3 - 32472288*z2^4 - 133728000*li5half*z3 - 
    7056000*li4half*ln2*z3 + 2466800*ln2^5*z3 + 49392000*li4half*sinf*z3 + 
    4116000*ln2^4*sinf*z3 - 22904000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 - 1764000*sinf^3*z2*z3 - 
    135345000*ln2*z2^2*z3 - 62722800*sinf*z2^2*z3 - 23782500*ln2^2*z3^2 - 
    106974000*ln2*sinf*z3^2 + 12568500*sinf^2*z3^2 - 184905000*z2*z3^2 - 
    9114000*ln2^3*z5 - 218736000*ln2^2*sinf*z5 - 36162000*sinf^3*z5 - 
    414162000*ln2*z2*z5 - 324954000*sinf*z2*z5 + 97783875*z3*z5 + 
    697709250*sinf*z7)/56448000, H[1, 1, 1, 0, -1, -1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    5040000*ln2^2*s6 + 13092975*s8a - 50702400*s8b + 10080000*s8c - 
    10080000*s8d - 9273600*ln2*s6*sinf + 9273600*s7a*sinf - 
    30240000*s7b*sinf - 18345600*s6*sinf^2 - 7526400*li5half*sinf^3 + 
    62720*ln2^5*sinf^3 - 22579200*li6half*z2 + 11289600*li5half*ln2*z2 - 
    125440*ln2^6*z2 + 41328000*s6*z2 + 56448000*li5half*sinf*z2 + 
    5644800*li4half*ln2*sinf*z2 - 235200*ln2^5*sinf*z2 - 
    11289600*li4half*sinf^2*z2 - 470400*ln2^4*sinf^2*z2 - 
    627200*ln2^3*sinf^3*z2 - 13870080*li4half*z2^2 - 930720*ln2^4*z2^2 + 
    3292800*ln2^3*sinf*z2^2 + 5997600*ln2^2*sinf^2*z2^2 - 
    376320*ln2*sinf^3*z2^2 + 7721280*ln2^2*z2^3 + 7610400*ln2*sinf*z2^3 + 
    3360000*sinf^2*z2^3 + 2550624*z2^4 - 51340800*li5half*z3 + 
    18345600*li4half*ln2*z3 + 1192240*ln2^5*z3 + 11289600*li4half*sinf*z3 + 
    470400*ln2^4*sinf*z3 - 4748800*ln2^3*z2*z3 - 352800*ln2^2*sinf*z2*z3 + 
    1528800*sinf^3*z2*z3 - 27462120*ln2*z2^2*z3 + 3225600*sinf*z2^2*z3 + 
    6608700*ln2^2*z3^2 + 27644400*ln2*sinf*z3^2 + 4013100*sinf^2*z3^2 - 
    17115000*z2*z3^2 + 38278800*ln2^2*sinf*z5 + 1646400*sinf^3*z5 - 
    35708400*ln2*z2*z5 + 64663200*sinf*z2*z5 + 102960375*z3*z5 - 
    204140475*sinf*z7)/11289600, H[1, 1, 1, 0, -1, -1, 1, -1, 1] -> 
  (-1072512000*li8half - 225792000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 158200*ln2^8 + 
    304416000*ln2^2*s6 - 72576000*ln2*s7a + 26208000*ln2*s7b - 
    518641200*s8a - 3272976000*s8b - 435456000*s8c - 241920000*s8d - 
    395136000*li7half*sinf + 112896000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    78400*ln2^7*sinf + 110880000*ln2*s6*sinf - 82656000*s7a*sinf + 
    2016000*s7b*sinf + 338688000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 42336000*li4half*ln2^2*sinf^2 + 
    1293600*ln2^6*sinf^2 + 127008000*s6*sinf^2 + 9408000*li5half*sinf^3 + 
    28224000*li4half*ln2*sinf^3 + 1097600*ln2^5*sinf^3 - 
    395136000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 681408000*s6*z2 - 
    141120000*li5half*sinf*z2 - 141120000*li4half*ln2*sinf*z2 - 
    3998400*ln2^5*sinf*z2 - 42336000*li4half*sinf^2*z2 - 
    9996000*ln2^4*sinf^2*z2 + 784000*ln2^3*sinf^3*z2 - 
    61084800*li4half*z2^2 + 2158800*ln2^4*z2^2 + 32692800*ln2^3*sinf*z2^2 + 
    5644800*ln2^2*sinf^2*z2^2 - 940800*ln2*sinf^3*z2^2 - 
    49896000*ln2^2*z2^3 - 62042400*ln2*sinf*z2^3 - 23385600*sinf^2*z2^3 + 
    69661008*z2^4 + 672000000*li5half*z3 + 98784000*li4half*ln2*z3 - 
    3130400*ln2^5*z3 + 134064000*li4half*sinf*z3 + 3528000*ln2^4*sinf*z3 + 
    49532000*ln2^3*z2*z3 - 33516000*ln2^2*sinf*z2*z3 + 
    12348000*sinf^3*z2*z3 + 446552400*ln2*z2^2*z3 - 54558000*sinf*z2^2*z3 + 
    31594500*ln2^2*z3^2 + 18837000*ln2*sinf*z3^2 - 70780500*sinf^2*z3^2 + 
    482706000*z2*z3^2 - 136710000*ln2^3*z5 - 232407000*ln2^2*sinf*z5 - 
    150381000*ln2*sinf^2*z5 - 36750000*sinf^3*z5 + 1499715000*ln2*z2*z5 + 
    252063000*sinf*z2*z5 - 497946750*z3*z5 + 158295375*ln2*z7 + 
    127141875*sinf*z7)/56448000, H[1, 1, 1, 0, -1, -1, 0, 1, 1] -> 
  (432000*li4half^2 + 36000*li4half*ln2^4 + 750*ln2^8 - 3150*s8a + 
    576000*li6half*z2 + 576000*li5half*ln2*z2 + 72000*li4half*ln2^2*z2 - 
    1000*ln2^6*z2 + 144000*s6*z2 + 288000*li5half*sinf*z2 + 
    288000*li4half*ln2*sinf*z2 + 9600*ln2^5*sinf*z2 - 187200*li4half*z2^2 - 
    16800*ln2^4*z2^2 - 48000*ln2^3*sinf*z2^2 + 46800*ln2^2*z2^3 - 
    10800*sinf^2*z2^3 - 60804*z2^4 - 936000*li5half*z3 - 
    180000*li4half*ln2*z3 + 300*ln2^5*z3 - 180000*li4half*sinf*z3 - 
    7500*ln2^4*sinf*z3 + 51000*ln2^3*z2*z3 + 171000*ln2^2*sinf*z2*z3 - 
    15000*sinf^3*z2*z3 - 163800*ln2*z2^2*z3 + 86400*sinf*z2^2*z3 - 
    78750*ln2^2*z3^2 - 157500*ln2*sinf*z3^2 + 28125*sinf^2*z3^2 - 
    17625*z2*z3^2 + 30000*sinf^3*z5 - 279000*ln2*z2*z5 - 315000*sinf*z2*z5 + 
    668625*z3*z5 + 6750*sinf*z7)/288000, H[1, 1, 1, 0, -1, -1, 0, 0, 1] -> 
  (-161280*li4half^2 - 13440*li4half*ln2^4 - 280*ln2^8 - 35595*s8a - 
    80640*ln2*s6*sinf + 80640*s7a*sinf + 80640*s7b*sinf + 
    80640*li4half*ln2^2*z2 + 3360*ln2^6*z2 + 76608*li4half*z2^2 - 
    6888*ln2^4*z2^2 - 19152*ln2^2*z2^3 + 14112*ln2*sinf*z2^3 - 
    9840*sinf^2*z2^3 + 3468*z2^4 + 201600*li5half*z3 - 80640*li4half*ln2*z3 - 
    5040*ln2^5*z3 + 60480*li4half*sinf*z3 + 2520*ln2^4*sinf*z3 + 
    36960*ln2^3*z2*z3 - 15120*ln2^2*sinf*z2*z3 - 6720*sinf^3*z2*z3 + 
    67032*ln2*z2^2*z3 - 46872*sinf*z2^2*z3 - 35280*ln2^2*z3^2 + 
    30240*ln2*sinf*z3^2 + 15120*sinf^2*z3^2 - 2730*z2*z3^2 + 
    19320*sinf^3*z5 - 345240*sinf*z2*z5 - 210525*z3*z5 + 697410*sinf*z7)/
   80640, H[1, 1, 1, 0, -1, -1, 0, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    16632000*ln2^2*s6 + 33264000*ln2*s7a + 54432000*ln2*s7b - 59394825*s8a - 
    111888000*s8b - 54432000*s8c + 33264000*s8d - 54432000*ln2*s6*sinf + 
    33264000*s7a*sinf + 54432000*s7b*sinf - 10584000*s6*sinf^2 + 
    28224000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 98000*ln2^6*z2 - 27720000*s6*z2 + 
    14112000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 + 
    470400*ln2^5*sinf*z2 - 1814400*li4half*z2^2 - 957600*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 + 7106400*ln2^2*z2^3 + 9525600*ln2*sinf*z2^3 - 
    6501600*sinf^2*z2^3 - 15813612*z2^4 - 98280000*li5half*z3 - 
    7056000*li4half*ln2*z3 + 525000*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    294000*ln2^4*sinf*z3 - 2310000*ln2^3*z2*z3 + 7938000*ln2^2*sinf*z2*z3 - 
    6762000*sinf^3*z2*z3 - 18408600*ln2*z2^2*z3 - 11151000*sinf*z2^2*z3 + 
    17703000*ln2^2*z3^2 - 21483000*ln2*sinf*z3^2 + 16647750*sinf^2*z3^2 + 
    39648000*z2*z3^2 - 13671000*ln2^3*z5 + 20506500*ln2*sinf^2*z5 + 
    13009500*sinf^3*z5 - 51943500*ln2*z2*z5 - 231115500*sinf*z2*z5 + 
    51282000*z3*z5 + 412421625*ln2*z7 + 411760125*sinf*z7)/28224000, 
 H[1, 1, 1, 0, -1, -1, -1, 1, 1] -> 
  (-112896000*li4half^2 + 282240000*li8half - 56448000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 11760000*li4half*ln2^4 - 208600*ln2^8 - 
    103824000*ln2^2*s6 + 209095425*s8a + 968184000*s8b + 179424000*s8c + 
    18144000*s8d + 112896000*li7half*sinf + 9408000*li4half*ln2^3*sinf + 
    369600*ln2^7*sinf - 94752000*ln2*s6*sinf + 94752000*s7a*sinf + 
    108864000*s7b*sinf - 112896000*li6half*sinf^2 + 
    14112000*li4half*ln2^2*sinf^2 + 431200*ln2^6*sinf^2 - 
    28224000*s6*sinf^2 + 9408000*li5half*sinf^3 - 78400*ln2^5*sinf^3 + 
    169344000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 823200*ln2^6*z2 - 
    92736000*s6*z2 - 28224000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 3998400*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    1764000*ln2^4*sinf^2*z2 - 1568000*ln2^3*sinf^3*z2 + 
    33264000*li4half*z2^2 + 1386000*ln2^4*z2^2 + 8702400*ln2^3*sinf*z2^2 + 
    5644800*ln2^2*sinf^2*z2^2 + 470400*ln2*sinf^3*z2^2 + 3729600*ln2^2*z2^3 + 
    42840000*ln2*sinf*z2^3 + 13305600*sinf^2*z2^3 - 20417832*z2^4 - 
    3360000*li5half*z3 - 49392000*li4half*ln2*z3 - 2030000*ln2^5*z3 + 
    105840000*li4half*sinf*z3 + 8526000*ln2^4*sinf*z3 + 
    8232000*ln2^3*sinf^2*z3 + 4116000*ln2^2*sinf^3*z3 - 
    13216000*ln2^3*z2*z3 - 75852000*ln2^2*sinf*z2*z3 - 
    24696000*ln2*sinf^2*z2*z3 - 8232000*sinf^3*z2*z3 - 
    133337400*ln2*z2^2*z3 - 112971600*sinf*z2^2*z3 - 45664500*ln2^2*z3^2 + 
    75222000*ln2*sinf*z3^2 + 39910500*sinf^2*z3^2 - 192045000*z2*z3^2 + 
    9114000*ln2^3*z5 - 13671000*ln2^2*sinf*z5 + 8820000*sinf^3*z5 - 
    538272000*ln2*z2*z5 - 346689000*sinf*z2*z5 + 105643125*z3*z5 + 
    790665750*sinf*z7)/56448000, H[1, 1, 1, 0, -1, -1, -1, 0, 1] -> 
  (403200*li4half^2 + 33600*li4half*ln2^4 + 700*ln2^8 + 806400*ln2*s6*sinf - 
    806400*s7a*sinf - 806400*s7b*sinf - 403200*li6half*z2 - 
    403200*li5half*ln2*z2 - 403200*li4half*ln2^2*z2 - 14000*ln2^6*z2 - 
    100800*s6*z2 + 403200*li5half*sinf*z2 + 403200*li4half*ln2*sinf*z2 + 
    13440*ln2^5*sinf*z2 + 302400*li4half*sinf^2*z2 + 12600*ln2^4*sinf^2*z2 - 
    241920*li4half*z2^2 + 40320*ln2^4*z2^2 - 67200*ln2^3*sinf*z2^2 - 
    75600*ln2^2*sinf^2*z2^2 + 60480*ln2^2*z2^3 - 141120*ln2*sinf*z2^3 - 
    47280*sinf^2*z2^3 + 125544*z2^4 - 302400*li5half*z3 + 
    403200*li4half*ln2*z3 + 19320*ln2^5*z3 - 1008000*li4half*sinf*z3 - 
    42000*ln2^4*sinf*z3 - 184800*ln2^3*z2*z3 + 428400*ln2^2*sinf*z2*z3 + 
    264600*ln2*sinf^2*z2*z3 + 63000*sinf^3*z2*z3 - 211680*ln2*z2^2*z3 + 
    715680*sinf*z2^2*z3 + 176400*ln2^2*z3^2 - 655200*ln2*sinf*z3^2 - 
    206325*sinf^2*z3^2 + 259875*z2*z3^2 - 123900*sinf^3*z5 + 
    195300*ln2*z2*z5 + 2690100*sinf*z2*z5 - 246225*z3*z5 - 6569325*sinf*z7)/
   403200, H[1, 1, 1, 0, -1, -1, -1, -1, 1] -> 
  (403200*li4half^2 + 33600*li4half*ln2^4 + 700*ln2^8 - 806400*li7half*sinf - 
    806400*li6half*ln2*sinf - 403200*li5half*ln2^2*sinf - 
    134400*li4half*ln2^3*sinf - 3200*ln2^7*sinf - 201600*s7a*sinf - 
    403200*li6half*sinf^2 - 403200*li5half*ln2*sinf^2 - 
    201600*li4half*ln2^2*sinf^2 - 5600*ln2^6*sinf^2 - 100800*s6*sinf^2 - 
    67200*li5half*sinf^3 - 67200*li4half*ln2*sinf^3 - 2240*ln2^5*sinf^3 + 
    806400*li6half*z2 + 806400*li5half*ln2*z2 + 201600*li4half*ln2^2*z2 + 
    2800*ln2^6*z2 + 201600*s6*z2 + 604800*li5half*sinf*z2 + 
    604800*li4half*ln2*sinf*z2 + 33600*ln2^5*sinf*z2 + 
    100800*li4half*sinf^2*z2 + 29400*ln2^4*sinf^2*z2 + 
    11200*ln2^3*sinf^3*z2 - 241920*li4half*z2^2 - 35280*ln2^4*z2^2 - 
    100800*ln2^3*sinf*z2^2 - 25200*ln2^2*sinf^2*z2^2 + 60480*ln2^2*z2^3 + 
    34560*sinf^2*z2^3 - 79272*z2^4 - 840000*li5half*z3 - 
    134400*li4half*ln2*z3 + 1400*ln2^5*z3 - 403200*li4half*sinf*z3 - 
    46200*ln2^4*sinf*z3 - 58800*ln2^3*sinf^2*z3 - 29400*ln2^2*sinf^3*z3 + 
    81200*ln2^3*z2*z3 + 365400*ln2^2*sinf*z2*z3 + 88200*ln2*sinf^2*z2*z3 - 
    211680*ln2*z2^2*z3 + 168840*sinf*z2^2*z3 - 58800*ln2^2*z3^2 - 
    352800*ln2*sinf*z3^2 + 26775*sinf^2*z3^2 + 23625*z2*z3^2 + 
    195300*ln2*sinf^2*z5 + 67200*sinf^3*z5 - 390600*ln2*z2*z5 - 
    403200*sinf*z2*z5 + 476175*z3*z5 + 244125*sinf*z7)/403200, 
 H[1, 1, 1, -1, 1, 1, 1, 1, 1] -> (-210*li8half + 90*li7half*sinf - 
    15*li6half*sinf^2 + li5half*sinf^3 + 15*li6half*z2 - 3*li5half*sinf*z2 + 
    2*li5half*z3)/6, H[1, 1, 1, -1, 1, 1, 1, 0, 1] -> 
  (161280*li4half^2 + 11289600*li8half - 5160960*li7half*sinf - 
    53760*li4half*ln2^3*sinf - 1216*ln2^7*sinf + 230400*ln2*s6*sinf - 
    230400*s7a*sinf - 311040*s7b*sinf + 967680*li6half*sinf^2 - 
    80640*li4half*ln2^2*sinf^2 - 2016*ln2^6*sinf^2 - 40320*s6*sinf^2 - 
    107520*li5half*sinf^3 - 53760*li4half*ln2*sinf^3 - 1344*ln2^5*sinf^3 - 
    4193280*li6half*z2 + 80640*li4half*ln2^2*z2 + 2016*ln2^6*z2 + 
    40320*s6*z2 + 1612800*li5half*sinf*z2 + 322560*li4half*ln2*sinf*z2 + 
    16128*ln2^5*sinf*z2 - 80640*li4half*sinf^2*z2 + 16800*ln2^4*sinf^2*z2 + 
    8960*ln2^3*sinf^3*z2 - 48384*li4half*z2^2 - 16800*ln2^4*z2^2 - 
    41664*ln2^3*sinf*z2^2 - 2016*ln2^2*sinf^2*z2^2 + 2688*ln2*sinf^3*z2^2 + 
    2016*ln2^2*z2^3 - 108576*ln2*sinf*z2^3 - 23040*sinf^2*z2^3 + 23040*z2^4 - 
    1505280*li5half*z3 - 107520*li4half*ln2*z3 - 2688*ln2^5*z3 + 
    40320*li4half*sinf*z3 - 38640*ln2^4*sinf*z3 - 53760*ln2^3*sinf^2*z3 - 
    26880*ln2^2*sinf^3*z3 + 71680*ln2^3*z2*z3 + 312480*ln2^2*sinf*z2*z3 + 
    161280*ln2*sinf^2*z2*z3 + 26880*sinf^3*z2*z3 - 155904*ln2*z2^2*z3 + 
    356544*sinf*z2^2*z3 - 53760*ln2^2*z3^2 - 288000*ln2*sinf*z3^2 - 
    126000*sinf^2*z3^2 + 179760*z2*z3^2 + 78120*ln2^2*sinf*z5 - 
    1680*sinf^3*z5 + 921240*sinf*z2*z5 - 3360*z3*z5 - 2439855*sinf*z7)/
   322560, H[1, 1, 1, -1, 1, 1, 1, -1, 1] -> 
  (3528000*li4half^2 + 254016000*li8half - 5950*ln2^8 - 1512000*ln2^2*s6 + 
    13798575*s8a + 165564000*s8b + 3024000*s8c + 14616000*s8d - 
    112896000*li7half*sinf - 1176000*li4half*ln2^3*sinf - 47600*ln2^7*sinf + 
    14616000*ln2*s6*sinf - 14616000*s7a*sinf + 3024000*s7b*sinf + 
    21168000*li6half*sinf^2 - 1764000*li4half*ln2^2*sinf^2 - 
    68600*ln2^6*sinf^2 + 8820000*s6*sinf^2 - 2352000*li5half*sinf^3 - 
    1176000*li4half*ln2*sinf^3 - 39200*ln2^5*sinf^3 - 21168000*li6half*z2 + 
    1764000*li4half*ln2^2*z2 + 137200*ln2^6*z2 - 46872000*s6*z2 + 
    7056000*li5half*sinf*z2 + 7056000*li4half*ln2*sinf*z2 + 
    529200*ln2^5*sinf*z2 + 1764000*li4half*sinf^2*z2 + 
    441000*ln2^4*sinf^2*z2 + 196000*ln2^3*sinf^3*z2 + 1159200*li4half*z2^2 - 
    539700*ln2^4*z2^2 - 1470000*ln2^3*sinf*z2^2 - 441000*ln2^2*sinf^2*z2^2 + 
    1348200*ln2^2*z2^3 - 3099600*ln2*sinf*z2^3 - 1814400*sinf^2*z2^3 - 
    11361078*z2^4 - 33936000*li5half*z3 - 2352000*li4half*ln2*z3 - 
    40600*ln2^5*z3 - 6174000*li4half*sinf*z3 - 1029000*ln2^4*sinf*z3 - 
    1029000*ln2^3*sinf^2*z3 - 514500*ln2^2*sinf^3*z3 + 1043000*ln2^3*z2*z3 + 
    7717500*ln2^2*sinf*z2*z3 + 3087000*ln2*sinf^2*z2*z3 + 
    514500*sinf^3*z2*z3 - 6432300*ln2*z2^2*z3 + 6848100*sinf*z2^2*z3 - 
    1454250*ln2^2*z3^2 - 18270000*ln2*sinf*z3^2 - 6008625*sinf^2*z3^2 + 
    690375*z2*z3^2 - 4704000*ln2^3*z5 - 31200750*ln2^2*sinf*z5 - 
    14112000*ln2*sinf^2*z5 + 992250*sinf^3*z5 + 19152000*ln2*z2*z5 + 
    1701000*sinf*z2*z5 - 55101375*z3*z5 - 141120000*ln2*z7 + 
    50722875*sinf*z7)/7056000, H[1, 1, 1, -1, 1, 1, 0, 1, 1] -> 
  (-42336000*li4half^2 + 536256000*li8half + 86800*ln2^8 - 
    94752000*ln2^2*s6 + 206113950*s8a + 73584000*s8b + 189504000*s8c - 
    189504000*s8d - 254016000*li7half*sinf + 14112000*li4half*ln2^3*sinf + 
    638400*ln2^7*sinf - 120960000*ln2*s6*sinf + 120960000*s7a*sinf + 
    163296000*s7b*sinf + 28224000*li6half*sinf^2 + 
    21168000*li4half*ln2^2*sinf^2 + 921200*ln2^6*sinf^2 + 
    10584000*s6*sinf^2 + 9408000*li5half*sinf^3 + 
    14112000*li4half*ln2*sinf^3 + 509600*ln2^5*sinf^3 - 
    310464000*li6half*z2 - 21168000*li4half*ln2^2*z2 - 2175600*ln2^6*z2 + 
    368424000*s6*z2 + 141120000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 7879200*ln2^5*sinf*z2 - 63504000*li4half*sinf^2*z2 - 
    6762000*ln2^4*sinf^2*z2 - 1960000*ln2^3*sinf^3*z2 - 
    76003200*li4half*z2^2 + 6358800*ln2^4*z2^2 + 19286400*ln2^3*sinf*z2^2 + 
    4057200*ln2^2*sinf^2*z2^2 - 2234400*ln2*sinf^3*z2^2 + 
    28098000*ln2^2*z2^3 + 42537600*ln2*sinf*z2^3 + 6048000*sinf^2*z2^3 + 
    48787632*z2^4 + 59136000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    3388000*ln2^5*z3 + 243432000*li4half*sinf*z3 + 20286000*ln2^4*sinf*z3 + 
    13524000*ln2^3*sinf^2*z3 + 6762000*ln2^2*sinf^3*z3 - 
    41132000*ln2^3*z2*z3 - 142002000*ln2^2*sinf*z2*z3 - 
    40572000*ln2*sinf^2*z2*z3 - 2646000*sinf^3*z2*z3 - 
    173535600*ln2*z2^2*z3 - 191948400*sinf*z2^2*z3 - 13125000*ln2^2*z3^2 + 
    151200000*ln2*sinf*z3^2 + 19183500*sinf^2*z3^2 - 145876500*z2*z3^2 - 
    41013000*ln2^2*sinf*z5 - 1690500*sinf^3*z5 - 568512000*ln2*z2*z5 - 
    475933500*sinf*z2*z5 + 117279750*z3*z5 + 1280923875*sinf*z7)/28224000, 
 H[1, 1, 1, -1, 1, 1, 0, 0, 1] -> (8064000*li4half^2 - 80640000*li8half - 
    16000*ln2^8 - 5040000*ln2^2*s6 + 22968225*s8a + 340200000*s8b + 
    10080000*s8c + 62496000*s8d + 32256000*li7half*sinf - 
    2688000*li4half*ln2^3*sinf - 118400*ln2^7*sinf + 35712000*ln2*s6*sinf - 
    35712000*s7a*sinf + 2592000*s7b*sinf - 4032000*li4half*ln2^2*sinf^2 - 
    168000*ln2^6*sinf^2 + 10080000*s6*sinf^2 - 2688000*li5half*sinf^3 - 
    2688000*li4half*ln2*sinf^3 - 89600*ln2^5*sinf^3 + 80640000*li6half*z2 + 
    4032000*li4half*ln2^2*z2 + 504000*ln2^6*z2 - 171360000*s6*z2 - 
    24192000*li5half*sinf*z2 + 16128000*li4half*ln2*sinf*z2 + 
    1680000*ln2^5*sinf*z2 + 8064000*li4half*sinf^2*z2 + 
    1344000*ln2^4*sinf^2*z2 + 448000*ln2^3*sinf^3*z2 + 
    10080000*li4half*z2^2 - 3108000*ln2^4*z2^2 - 7291200*ln2^3*sinf*z2^2 - 
    3528000*ln2^2*sinf^2*z2^2 - 638400*ln2*sinf^3*z2^2 + 1548000*ln2^2*z2^3 - 
    9151200*ln2*sinf*z2^3 - 2894400*sinf^2*z2^3 - 13531464*z2^4 - 
    49728000*li5half*z3 - 5376000*li4half*ln2*z3 - 78400*ln2^5*z3 - 
    46368000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 - 
    1344000*ln2^3*sinf^2*z3 - 672000*ln2^2*sinf^3*z3 + 980000*ln2^3*z2*z3 + 
    18900000*ln2^2*sinf*z2*z3 + 3276000*ln2*sinf^2*z2*z3 + 
    588000*sinf^3*z2*z3 - 15552600*ln2*z2^2*z3 + 22665600*sinf*z2^2*z3 - 
    2761500*ln2^2*z3^2 - 44640000*ln2*sinf*z3^2 - 5134500*sinf^2*z3^2 - 
    22260000*z2*z3^2 - 37107000*ln2^2*sinf*z5 + 3171000*sinf^3*z5 - 
    30240000*ln2*z2*z5 - 21978000*sinf*z2*z5 + 37865625*z3*z5 + 
    16867125*sinf*z7)/8064000, H[1, 1, 1, -1, 1, 1, 0, -1, 1] -> 
  (1693440000*li8half - 28224000*li7half*ln2 - 14112000*li6half*ln2^2 + 
    14112000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 236600*ln2^8 - 
    23688000*ln2^2*s6 - 58464000*ln2*s7a + 12096000*ln2*s7b + 355828725*s8a + 
    2255400000*s8b + 270144000*s8c + 139104000*s8d - 
    1128960000*li7half*sinf - 28224000*li6half*ln2*sinf + 
    42336000*li5half*ln2^2*sinf - 14112000*li4half*ln2^3*sinf - 
    756000*ln2^7*sinf + 242928000*ln2*s6*sinf - 137088000*s7a*sinf + 
    187488000*s7b*sinf + 296352000*li6half*sinf^2 + 
    42336000*li5half*ln2*sinf^2 - 21168000*li4half*ln2^2*sinf^2 - 
    823200*ln2^6*sinf^2 + 116424000*s6*sinf^2 - 32928000*li5half*sinf^3 - 
    14112000*li4half*ln2*sinf^3 - 313600*ln2^5*sinf^3 - 
    423360000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 3136000*ln2^6*z2 - 652176000*s6*z2 + 
    141120000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    5997600*ln2^5*sinf*z2 + 3528000*ln2^4*sinf^2*z2 + 
    1176000*ln2^3*sinf^3*z2 + 38404800*li4half*z2^2 - 26888400*ln2^4*z2^2 - 
    55624800*ln2^3*sinf*z2^2 - 33868800*ln2^2*sinf^2*z2^2 - 
    7761600*ln2*sinf^3*z2^2 - 53650800*ln2^2*z2^3 - 133912800*ln2*sinf*z2^3 - 
    48963600*sinf^2*z2^3 - 76234644*z2^4 - 375816000*li5half*z3 - 
    102312000*li4half*ln2*z3 - 543200*ln2^5*z3 - 21168000*li4half*sinf*z3 + 
    1323000*ln2^4*sinf*z3 + 2940000*ln2^3*sinf^2*z3 + 
    1470000*ln2^2*sinf^3*z3 - 13776000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 - 8820000*ln2*sinf^2*z2*z3 + 
    588000*sinf^3*z2*z3 - 271983600*ln2*z2^2*z3 - 61399800*sinf*z2^2*z3 - 
    122571750*ln2^2*z3^2 - 200245500*ln2*sinf*z3^2 - 39800250*sinf^2*z3^2 - 
    219954000*z2*z3^2 - 47848500*ln2^3*z5 - 252913500*ln2^2*sinf*z5 + 
    61519500*ln2*sinf^2*z5 + 33589500*sinf^3*z5 - 971208000*ln2*z2*z5 - 
    723177000*sinf*z2*z5 + 201038250*z3*z5 + 767371500*ln2*z7 + 
    2180737125*sinf*z7)/28224000, H[1, 1, 1, -1, 1, 1, -1, 1, 1] -> 
  (-84672000*li4half^2 + 1580544000*li8half + 137200*ln2^8 - 
    177408000*ln2^2*s6 + 597309300*s8a + 2209536000*s8b + 354816000*s8c + 
    68544000*s8d - 508032000*li7half*sinf + 28224000*li4half*ln2^3*sinf + 
    1108800*ln2^7*sinf - 36288000*ln2*s6*sinf + 36288000*s7a*sinf + 
    247968000*s7b*sinf + 42336000*li4half*ln2^2*sinf^2 + 
    1568000*ln2^6*sinf^2 + 28224000*li5half*sinf^3 + 
    28224000*li4half*ln2*sinf^3 + 862400*ln2^5*sinf^3 - 
    42336000*li4half*ln2^2*z2 - 3057600*ln2^6*z2 - 348768000*s6*z2 - 
    84672000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    11760000*ln2^5*sinf*z2 - 42336000*li4half*sinf^2*z2 - 
    9408000*ln2^4*sinf^2*z2 - 3920000*ln2^3*sinf^3*z2 + 
    56044800*li4half*z2^2 + 16447200*ln2^4*z2^2 + 36456000*ln2^3*sinf*z2^2 + 
    14112000*ln2^2*sinf^2*z2^2 + 1176000*ln2*sinf^3*z2^2 + 
    14716800*ln2^2*z2^3 - 3679200*ln2*sinf*z2^3 - 171896112*z2^4 - 
    80640000*li5half*z3 + 56448000*li4half*ln2*z3 + 6160000*ln2^5*z3 + 
    148176000*li4half*sinf*z3 + 18522000*ln2^4*sinf*z3 + 
    16464000*ln2^3*sinf^2*z3 + 8232000*ln2^2*sinf^3*z3 - 
    68656000*ln2^3*z2*z3 - 135828000*ln2^2*sinf*z2*z3 - 
    49392000*ln2*sinf^2*z2*z3 - 8232000*sinf^3*z2*z3 - 
    340771200*ln2*z2^2*z3 - 213292800*sinf*z2^2*z3 - 33432000*ln2^2*z3^2 + 
    45360000*ln2*sinf*z3^2 + 43218000*sinf^2*z3^2 - 392826000*z2*z3^2 - 
    112896000*ln2^3*z5 - 374409000*ln2^2*sinf*z5 - 11907000*sinf^3*z5 - 
    725760000*ln2*z2*z5 - 529956000*sinf*z2*z5 + 338152500*z3*z5 + 
    2000305125*sinf*z7)/56448000, H[1, 1, 1, -1, 1, 1, -1, 0, 1] -> 
  (56448000*li4half^2 - 1806336000*li8half - 142800*ln2^8 + 
    51408000*ln2^2*s6 - 226546425*s8a - 231336000*s8b - 102816000*s8c + 
    116928000*s8d + 733824000*li7half*sinf - 18816000*li4half*ln2^3*sinf - 
    929600*ln2^7*sinf + 76608000*ln2*s6*sinf - 76608000*s7a*sinf - 
    48384000*s7b*sinf - 84672000*li6half*sinf^2 - 28224000*li4half*ln2^2*
     sinf^2 - 1293600*ln2^6*sinf^2 + 14112000*s6*sinf^2 - 
    9408000*li5half*sinf^3 - 18816000*li4half*ln2*sinf^3 - 
    705600*ln2^5*sinf^3 + 592704000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 
    2861600*ln2^6*z2 - 43344000*s6*z2 - 141120000*li5half*sinf*z2 + 
    112896000*li4half*ln2*sinf*z2 + 9408000*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 6468000*ln2^4*sinf^2*z2 + 
    3136000*ln2^3*sinf^3*z2 - 4838400*li4half*z2^2 - 10550400*ln2^4*z2^2 - 
    23284800*ln2^3*sinf*z2^2 - 3175200*ln2^2*sinf^2*z2^2 - 
    470400*ln2*sinf^3*z2^2 + 21016800*ln2^2*z2^3 + 26308800*ln2*sinf*z2^3 + 
    16682400*sinf^2*z2^3 + 129139632*z2^4 - 83328000*li5half*z3 - 
    37632000*li4half*ln2*z3 - 3931200*ln2^5*z3 - 98784000*li4half*sinf*z3 - 
    15582000*ln2^4*sinf*z3 - 15288000*ln2^3*sinf^2*z3 - 
    7644000*ln2^2*sinf^3*z3 + 34412000*ln2^3*z2*z3 + 
    79380000*ln2^2*sinf*z2*z3 + 8820000*ln2*sinf^2*z2*z3 + 
    3528000*sinf^3*z2*z3 + 111388200*ln2*z2^2*z3 + 115164000*sinf*z2^2*z3 - 
    829500*ln2^2*z3^2 - 95760000*ln2*sinf*z3^2 - 25357500*sinf^2*z3^2 - 
    6237000*z2*z3^2 - 27342000*ln2^2*sinf*z5 + 4851000*sinf^3*z5 - 
    199584000*ln2*z2*z5 + 28791000*sinf*z2*z5 + 82821375*z3*z5 - 
    875621250*sinf*z7)/56448000, H[1, 1, 1, -1, 1, 1, -1, -1, 1] -> 
  (-1749888000*li8half + 5600*ln2^8 + 165312000*ln2^2*s6 - 534945600*s8a - 
    3298176000*s8b - 330624000*s8c - 262080000*s8d + 677376000*li7half*sinf + 
    33600*ln2^7*sinf - 157248000*ln2*s6*sinf + 157248000*s7a*sinf - 
    223776000*s7b*sinf - 84672000*li6half*sinf^2 + 78400*ln2^6*sinf^2 - 
    84672000*s6*sinf^2 + 78400*ln2^5*sinf^3 + 84672000*li6half*z2 - 
    235200*ln2^6*z2 + 905184000*s6*z2 - 940800*ln2^5*sinf*z2 - 
    1176000*ln2^4*sinf^2*z2 - 784000*ln2^3*sinf^3*z2 - 
    52416000*li4half*z2^2 - 2184000*ln2^4*z2^2 - 1176000*ln2^3*sinf*z2^2 - 
    3528000*ln2^2*sinf^2*z2^2 - 1176000*ln2*sinf^3*z2^2 - 
    49593600*ln2^2*z2^3 + 8920800*ln2*sinf*z2^3 + 504000*sinf^2*z2^3 + 
    83080944*z2^4 + 524160000*li5half*z3 - 2564800*ln2^5*z3 + 
    6174000*ln2^4*sinf*z3 + 8232000*ln2^3*sinf^2*z3 + 
    4116000*ln2^2*sinf^3*z3 + 22120000*ln2^3*z2*z3 - 
    35280000*ln2^2*sinf*z2*z3 - 10584000*ln2*sinf^2*z2*z3 + 
    588000*sinf^3*z2*z3 + 371162400*ln2*z2^2*z3 + 67687200*sinf*z2^2*z3 + 
    68838000*ln2^2*z3^2 + 224784000*ln2*sinf*z3^2 + 30429000*sinf^2*z3^2 + 
    316617000*z2*z3^2 + 155232000*ln2^3*z5 + 665469000*ln2^2*sinf*z5 + 
    127008000*ln2*sinf^2*z5 - 441000*sinf^3*z5 + 568512000*ln2*z2*z5 + 
    543564000*sinf*z2*z5 - 111510000*z3*z5 + 959616000*ln2*z7 - 
    1517347125*sinf*z7)/56448000, H[1, 1, 1, -1, 1, 0, 1, 1, 1] -> 
  (84672000*li4half^2 + 395136000*li8half - 137200*ln2^8 + 
    177408000*ln2^2*s6 - 597309300*s8a - 2209536000*s8b - 354816000*s8c - 
    68544000*s8d - 338688000*li7half*sinf - 28224000*li4half*ln2^3*sinf - 
    1108800*ln2^7*sinf + 36288000*ln2*s6*sinf - 36288000*s7a*sinf - 
    247968000*s7b*sinf + 141120000*li6half*sinf^2 - 
    42336000*li4half*ln2^2*sinf^2 - 1568000*ln2^6*sinf^2 - 
    37632000*li5half*sinf^3 - 28224000*li4half*ln2*sinf^3 - 
    862400*ln2^5*sinf^3 - 141120000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 
    3057600*ln2^6*z2 + 348768000*s6*z2 + 112896000*li5half*sinf*z2 + 
    169344000*li4half*ln2*sinf*z2 + 11760000*ln2^5*sinf*z2 + 
    42336000*li4half*sinf^2*z2 + 9408000*ln2^4*sinf^2*z2 + 
    3920000*ln2^3*sinf^3*z2 - 259257600*li4half*z2^2 - 16447200*ln2^4*z2^2 - 
    13876800*ln2^3*sinf*z2^2 + 2822400*ln2^2*sinf^2*z2^2 - 
    1176000*ln2*sinf^3*z2^2 + 32860800*ln2^2*z2^3 - 64058400*ln2*sinf*z2^3 - 
    16934400*sinf^2*z2^3 + 124318512*z2^4 - 163968000*li5half*z3 - 
    56448000*li4half*ln2*z3 - 6160000*ln2^5*z3 + 21168000*li4half*sinf*z3 - 
    18522000*ln2^4*sinf*z3 - 25872000*ln2^3*sinf^2*z3 - 
    12936000*ln2^2*sinf^3*z3 + 78064000*ln2^3*z2*z3 + 
    149940000*ln2^2*sinf*z2*z3 + 77616000*ln2*sinf^2*z2*z3 + 
    12936000*sinf^3*z2*z3 + 312547200*ln2*z2^2*z3 + 317721600*sinf*z2^2*z3 + 
    24024000*ln2^2*z3^2 - 45360000*ln2*sinf*z3^2 - 92610000*sinf^2*z3^2 + 
    451626000*z2*z3^2 + 205065000*ln2^2*sinf*z5 + 11907000*sinf^3*z5 + 
    1064448000*ln2*z2*z5 + 699300000*sinf*z2*z5 - 930856500*z3*z5 - 
    2000305125*sinf*z7)/56448000, H[1, 1, 1, -1, 1, 0, 1, 0, 1] -> 
  (-14112000*li4half^2 - 141120000*li8half + 21000*ln2^8 + 
    13356000*ln2^2*s6 - 18485775*s8a - 126252000*s8b - 26712000*s8c - 
    3276000*s8d + 112896000*li7half*sinf + 4704000*li4half*ln2^3*sinf + 
    173600*ln2^7*sinf - 18648000*ln2*s6*sinf + 18648000*s7a*sinf - 
    16632000*s7b*sinf - 42336000*li6half*sinf^2 + 
    7056000*li4half*ln2^2*sinf^2 + 235200*ln2^6*sinf^2 - 20286000*s6*sinf^2 + 
    9408000*li5half*sinf^3 + 4704000*li4half*ln2*sinf^3 + 
    117600*ln2^5*sinf^3 + 91728000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 
    362600*ln2^6*z2 + 47124000*s6*z2 - 56448000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 1411200*ln2^5*sinf*z2 - 
    3528000*li4half*sinf^2*z2 - 1029000*ln2^4*sinf^2*z2 - 
    392000*ln2^3*sinf^3*z2 + 20512800*li4half*z2^2 + 2471700*ln2^4*z2^2 + 
    5203800*ln2^3*sinf*z2^2 + 4145400*ln2^2*sinf^2*z2^2 + 
    1499400*ln2*sinf^3*z2^2 - 12455100*ln2^2*z2^3 + 1499400*ln2*sinf*z2^3 + 
    5155500*sinf^2*z2^3 - 17425209*z2^4 + 110040000*li5half*z3 + 
    9408000*li4half*ln2*z3 - 54600*ln2^5*z3 - 24696000*li4half*sinf*z3 + 
    735000*ln2^4*sinf*z3 + 2352000*ln2^3*sinf^2*z3 + 
    1176000*ln2^2*sinf^3*z3 + 203000*ln2^3*z2*z3 - 6615000*ln2^2*sinf*z2*z3 - 
    5733000*ln2*sinf^2*z2*z3 - 1029000*sinf^3*z2*z3 + 38017350*ln2*z2^2*z3 - 
    6375600*sinf*z2^2*z3 + 6108375*ln2^2*z3^2 + 23310000*ln2*sinf*z3^2 + 
    19238625*sinf^2*z3^2 - 10248000*z2*z3^2 + 34177500*ln2^2*sinf*z5 - 
    8342250*sinf^3*z5 + 80136000*ln2*z2*z5 + 87774750*sinf*z2*z5 + 
    664125*z3*z5 - 117376875*sinf*z7)/7056000, 
 H[1, 1, 1, -1, 1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 - 9031680000*li8half + 338688000*li7half*ln2 + 
    141120000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 708400*ln2^8 + 891072000*ln2^2*s6 - 
    48384000*ln2*s7a - 330624000*ln2*s7b - 2542686300*s8a - 17156160000*s8b - 
    1685376000*s8c - 1560384000*s8d + 6096384000*li7half*sinf + 
    282240000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    65856000*li4half*ln2^3*sinf + 2867200*ln2^7*sinf - 
    1318464000*ln2*s6*sinf + 1318464000*s7a*sinf - 1461600000*s7b*sinf - 
    1354752000*li6half*sinf^2 - 112896000*li5half*ln2*sinf^2 + 
    98784000*li4half*ln2^2*sinf^2 + 3175200*ln2^6*sinf^2 - 
    733824000*s6*sinf^2 + 150528000*li5half*sinf^3 + 
    65856000*li4half*ln2*sinf^3 + 1489600*ln2^5*sinf^3 + 
    1213632000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 8584800*ln2^6*z2 + 5477472000*s6*z2 - 
    338688000*li5half*sinf*z2 - 141120000*li4half*ln2*sinf*z2 - 
    19992000*ln2^5*sinf*z2 - 98784000*li4half*sinf^2*z2 - 
    24108000*ln2^4*sinf^2*z2 - 10976000*ln2^3*sinf^3*z2 - 
    209059200*li4half*z2^2 + 88603200*ln2^4*z2^2 + 
    222499200*ln2^3*sinf*z2^2 + 186631200*ln2^2*sinf^2*z2^2 + 
    33163200*ln2*sinf^3*z2^2 - 142682400*ln2^2*z2^3 + 
    421596000*ln2*sinf*z2^3 + 183607200*sinf^2*z2^3 + 406206432*z2^4 + 
    3450048000*li5half*z3 - 164640000*li4half*ln2*z3 - 33728800*ln2^5*z3 + 
    176400000*li4half*sinf*z3 + 14406000*ln2^4*sinf*z3 + 
    9408000*ln2^3*sinf^2*z3 + 4704000*ln2^2*sinf^3*z3 + 
    286328000*ln2^3*z2*z3 - 100548000*ln2^2*sinf*z2*z3 - 
    102312000*ln2*sinf^2*z2*z3 - 4704000*sinf^3*z2*z3 + 
    2244211200*ln2*z2^2*z3 + 265154400*sinf*z2^2*z3 + 229152000*ln2^2*z3^2 + 
    1734516000*ln2*sinf*z3^2 + 324576000*sinf^2*z3^2 + 1513932000*z2*z3^2 + 
    328104000*ln2^3*z5 + 2857239000*ln2^2*sinf*z5 + 164052000*ln2*sinf^2*z5 - 
    144060000*sinf^3*z5 + 5708052000*ln2*z2*z5 + 4648455000*sinf*z2*z5 - 
    1526164500*z3*z5 - 1538113500*ln2*z7 - 12458179125*sinf*z7)/56448000, 
 H[1, 1, 1, -1, 1, 0, 0, 1, 1] -> (32256000*li8half + 800*ln2^8 - 
    10080000*ln2^2*s6 + 35262675*s8a + 245448000*s8b + 20160000*s8c + 
    25200000*s8d - 24192000*li7half*sinf + 4800*ln2^7*sinf + 
    15120000*ln2*s6*sinf - 15120000*s7a*sinf + 18144000*s7b*sinf + 
    8064000*li6half*sinf^2 + 11200*ln2^6*sinf^2 + 10584000*s6*sinf^2 - 
    1344000*li5half*sinf^3 + 11200*ln2^5*sinf^3 + 28224000*li6half*z2 + 
    16800*ln2^6*z2 - 82656000*s6*z2 - 20160000*li5half*sinf*z2 + 
    67200*ln2^5*sinf*z2 + 6048000*li4half*sinf^2*z2 + 84000*ln2^4*sinf^2*z2 - 
    112000*ln2^3*sinf^3*z2 + 7459200*li4half*z2^2 - 428400*ln2^4*z2^2 - 
    2217600*ln2^3*sinf*z2^2 - 2217600*ln2^2*sinf^2*z2^2 - 
    403200*ln2*sinf^3*z2^2 - 1047600*ln2^2*z2^3 - 7027200*ln2*sinf*z2^3 - 
    2917200*sinf^2*z2^3 - 10574412*z2^4 - 20832000*li5half*z3 + 
    274400*ln2^5*z3 - 12096000*li4half*sinf*z3 - 126000*ln2^4*sinf*z3 + 
    504000*ln2^3*sinf^2*z3 + 252000*ln2^2*sinf^3*z3 - 3248000*ln2^3*z2*z3 - 
    1512000*ln2*sinf^2*z2*z3 - 924000*sinf^3*z2*z3 - 21596400*ln2*z2^2*z3 - 
    2620800*sinf*z2^2*z3 - 2331000*ln2^2*z3^2 - 18900000*ln2*sinf*z3^2 - 
    2394000*sinf^2*z3^2 - 27615000*z2*z3^2 - 32224500*ln2^2*sinf*z5 + 
    3265500*sinf^3*z5 - 60480000*ln2*z2*z5 - 62307000*sinf*z2*z5 + 
    32557875*z3*z5 + 169194375*sinf*z7)/4032000, 
 H[1, 1, 1, -1, 1, 0, 0, 0, 1] -> (37296000*ln2^2*s6 - 139691475*s8a - 
    1155672000*s8b - 74592000*s8c - 137088000*s8d - 66528000*ln2*s6*sinf + 
    66528000*s7a*sinf - 74592000*s7b*sinf - 35280000*s6*sinf^2 - 
    112896000*li6half*z2 - 156800*ln2^6*z2 + 478800000*s6*z2 + 
    56448000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 - 69753600*li4half*z2^2 + 
    2503200*ln2^4*z2^2 + 13406400*ln2^3*sinf*z2^2 + 
    7761600*ln2^2*sinf^2*z2^2 + 1646400*ln2*sinf^3*z2^2 - 957600*ln2^2*z2^3 + 
    10634400*ln2*sinf*z2^3 + 3427200*sinf^2*z2^3 + 46023984*z2^4 + 
    48384000*li5half*z3 - 403200*ln2^5*z3 + 84672000*li4half*sinf*z3 + 
    3528000*ln2^4*sinf*z3 + 9324000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 + 
    15876000*ln2*sinf^2*z2*z3 + 1764000*sinf^3*z2*z3 + 66759000*ln2*z2^2*z3 + 
    19152000*sinf*z2^2*z3 + 10489500*ln2^2*z3^2 + 83160000*ln2*sinf*z3^2 - 
    2425500*sinf^2*z3^2 + 130914000*z2*z3^2 + 136710000*ln2^2*sinf*z5 - 
    9408000*sinf^3*z5 + 223776000*ln2*z2*z5 + 321867000*sinf*z2*z5 - 
    167188875*z3*z5 - 712317375*sinf*z7)/28224000, 
 H[1, 1, 1, -1, 1, 0, 0, -1, 1] -> (254016000*li4half^2 - 564480000*li8half - 
    112896000*li7half*ln2 - 56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 527800*ln2^8 - 453600000*ln2^2*s6 + 
    211680000*ln2*s7a + 183456000*ln2*s7b + 432239850*s8a + 2563344000*s8b + 
    258048000*s8c + 376992000*s8d + 225792000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf + 
    268800*ln2^7*sinf - 92736000*ln2*s6*sinf - 133056000*s7a*sinf + 
    276192000*s7b*sinf - 169344000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 + 235200*ln2^6*sinf^2 + 21168000*s6*sinf^2 + 
    479808000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 6036800*ln2^6*z2 - 972720000*s6*z2 - 
    112896000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 + 
    42336000*li4half*sinf^2*z2 + 588000*ln2^4*sinf^2*z2 - 
    174384000*li4half*z2^2 + 16959600*ln2^4*z2^2 + 14817600*ln2^3*sinf*z2^2 + 
    8467200*ln2^2*sinf^2*z2^2 + 1176000*ln2*sinf^3*z2^2 + 
    244440000*ln2^2*z2^3 + 127965600*ln2*sinf*z2^3 + 30206400*sinf^2*z2^3 + 
    22724976*z2^4 - 810432000*li5half*z3 + 444528000*li4half*ln2*z3 + 
    23864400*ln2^5*z3 + 21168000*li4half*sinf*z3 - 4410000*ln2^4*sinf*z3 - 
    7056000*ln2^3*sinf^2*z3 - 3528000*ln2^2*sinf^3*z3 - 
    157500000*ln2^3*z2*z3 + 37044000*ln2^2*sinf*z2*z3 + 
    21168000*ln2*sinf^2*z2*z3 - 1176000*sinf^3*z2*z3 - 
    618979200*ln2*z2^2*z3 - 15724800*sinf*z2^2*z3 + 208026000*ln2^2*z3^2 - 
    192780000*ln2*sinf*z3^2 - 36162000*sinf^2*z3^2 - 304374000*z2*z3^2 - 
    13671000*ln2^3*z5 - 519498000*ln2^2*sinf*z5 - 123039000*ln2*sinf^2*z5 + 
    4410000*sinf^3*z5 - 1066086000*ln2*z2*z5 - 701505000*sinf*z2*z5 + 
    811581750*z3*z5 + 223201125*ln2*z7 + 967593375*sinf*z7)/56448000, 
 H[1, 1, 1, -1, 1, 0, -1, 1, 1] -> 
  (112896000*li4half^2 + 8580096000*li8half + 28224000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 982800*ln2^8 - 
    864864000*ln2^2*s6 + 2496885300*s8a + 16571520000*s8b + 1870848000*s8c + 
    1205568000*s8d - 5136768000*li7half*sinf + 28224000*li5half*ln2^2*sinf - 
    94080000*li4half*ln2^3*sinf - 3136000*ln2^7*sinf + 
    1132992000*ln2*s6*sinf - 1132992000*s7a*sinf + 1280160000*s7b*sinf + 
    1185408000*li6half*sinf^2 - 98784000*li4half*ln2^2*sinf^2 - 
    2469600*ln2^6*sinf^2 + 663264000*s6*sinf^2 - 122304000*li5half*sinf^3 - 
    37632000*li4half*ln2*sinf^3 - 548800*ln2^5*sinf^3 - 
    1213632000*li6half*z2 + 282240000*li5half*ln2*z2 + 
    225792000*li4half*ln2^2*z2 + 10858400*ln2^6*z2 - 4683168000*s6*z2 + 
    338688000*li5half*sinf*z2 + 141120000*li4half*ln2*sinf*z2 + 
    18110400*ln2^5*sinf*z2 + 98784000*li4half*sinf^2*z2 + 
    18228000*ln2^4*sinf^2*z2 + 6272000*ln2^3*sinf^3*z2 + 
    180432000*li4half*z2^2 - 97204800*ln2^4*z2^2 - 
    222969600*ln2^3*sinf*z2^2 - 185925600*ln2^2*sinf^2*z2^2 - 
    31752000*ln2*sinf^3*z2^2 + 79581600*ln2^2*z2^3 - 
    419076000*ln2*sinf*z2^3 - 171914400*sinf^2*z2^3 - 251788752*z2^4 - 
    2923872000*li5half*z3 - 75264000*li4half*ln2*z3 + 23111200*ln2^5*z3 - 
    218736000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 + 
    9408000*ln2^3*sinf^2*z3 + 4704000*ln2^2*sinf^3*z3 - 
    238952000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 + 
    45864000*ln2*sinf^2*z2*z3 - 4704000*sinf^3*z2*z3 - 
    2072800800*ln2*z2^2*z3 - 246506400*sinf*z2^2*z3 - 258531000*ln2^2*z3^2 - 
    1416240000*ln2*sinf*z3^2 - 264159000*sinf^2*z3^2 - 1708014000*z2*z3^2 + 
    136710000*ln2^3*z5 - 2132676000*ln2^2*sinf*z5 + 133917000*sinf^3*z5 - 
    6022674000*ln2*z2*z5 - 4442697000*sinf*z2*z5 + 1361136000*z3*z5 + 
    11451344625*sinf*z7)/56448000, H[1, 1, 1, -1, 1, 0, -1, 0, 1] -> 
  (-366912000*li4half^2 - 1128960000*li8half - 21168000*li4half*ln2^4 - 
    273000*ln2^8 + 420336000*ln2^2*s6 - 811548675*s8a - 4763304000*s8b - 
    840672000*s8c - 90720000*s8d + 903168000*li7half*sinf + 
    37632000*li4half*ln2^3*sinf + 1388800*ln2^7*sinf - 
    227808000*ln2*s6*sinf + 227808000*s7a*sinf - 506016000*s7b*sinf - 
    338688000*li6half*sinf^2 + 56448000*li4half*ln2^2*sinf^2 + 
    1881600*ln2^6*sinf^2 - 268128000*s6*sinf^2 + 75264000*li5half*sinf^3 + 
    37632000*li4half*ln2*sinf^3 + 940800*ln2^5*sinf^3 + 
    1382976000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2704800*ln2^6*z2 + 1380960000*s6*z2 - 
    818496000*li5half*sinf*z2 - 479808000*li4half*ln2*sinf*z2 - 
    18816000*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 - 
    6468000*ln2^4*sinf^2*z2 - 3136000*ln2^3*sinf^3*z2 + 
    223171200*li4half*z2^2 + 34524000*ln2^4*z2^2 + 82555200*ln2^3*sinf*z2^2 + 
    29282400*ln2^2*sinf^2*z2^2 + 12936000*ln2*sinf^3*z2^2 - 
    261424800*ln2^2*z2^3 - 86536800*ln2*sinf*z2^3 + 29870400*sinf^2*z2^3 - 
    373885248*z2^4 + 1199856000*li5half*z3 + 75264000*li4half*ln2*z3 - 
    4040400*ln2^5*z3 - 7056000*li4half*sinf*z3 + 10290000*ln2^4*sinf*z3 + 
    14112000*ln2^3*sinf^2*z3 + 7056000*ln2^2*sinf^3*z3 + 
    84700000*ln2^3*z2*z3 + 54684000*ln2^2*sinf*z2*z3 + 
    95256000*ln2*sinf^2*z2*z3 + 8232000*sinf^3*z2*z3 + 
    833091000*ln2*z2^2*z3 + 91677600*sinf*z2^2*z3 + 132331500*ln2^2*z3^2 + 
    284760000*ln2*sinf*z3^2 + 100107000*sinf^2*z3^2 + 584125500*z2*z3^2 + 
    710892000*ln2^2*sinf*z5 - 97314000*sinf^3*z5 + 3137211000*ln2*z2*z5 + 
    2751651000*sinf*z2*z5 - 1018975125*z3*z5 - 4144714875*sinf*z7)/56448000, 
 H[1, 1, 1, -1, 1, 0, -1, -1, 1] -> 
  (169344000*li8half - 225792000*li7half*ln2 - 112896000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 460600*ln2^8 + 
    108864000*ln2^2*s6 - 56448000*ln2*s7a + 254016000*ln2*s7b - 
    119766150*s8a - 235872000*s8b - 217728000*s8c + 104832000*s8d - 
    508032000*li7half*sinf - 169344000*li6half*ln2*sinf + 
    141120000*li5half*ln2^2*sinf + 56448000*li4half*ln2^3*sinf + 
    1041600*ln2^7*sinf + 137088000*ln2*s6*sinf - 108864000*s7a*sinf + 
    159264000*s7b*sinf + 84672000*li6half*sinf^2 + 
    169344000*li5half*ln2*sinf^2 + 42336000*li4half*ln2^2*sinf^2 + 
    470400*ln2^6*sinf^2 + 84672000*s6*sinf^2 + 28224000*li5half*sinf^3 - 
    235200*ln2^5*sinf^3 - 310464000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 3567200*ln2^6*z2 - 252000000*s6*z2 - 
    254016000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*z2 - 
    2352000*ln2^5*sinf*z2 + 1764000*ln2^4*sinf^2*z2 + 
    2352000*ln2^3*sinf^3*z2 - 201600*li4half*z2^2 + 17690400*ln2^4*z2^2 + 
    35280000*ln2^3*sinf*z2^2 + 34927200*ln2^2*sinf^2*z2^2 + 
    11289600*ln2*sinf^3*z2^2 - 17035200*ln2^2*z2^3 - 20210400*ln2*sinf*z2^3 + 
    1612800*sinf^2*z2^3 - 63243864*z2^4 + 107856000*li5half*z3 + 
    169344000*li4half*ln2*z3 + 982800*ln2^5*z3 + 42336000*li4half*sinf*z3 - 
    17640000*ln2^4*sinf*z3 - 25872000*ln2^3*sinf^2*z3 - 
    12936000*ln2^2*sinf^3*z3 + 31920000*ln2^3*z2*z3 + 
    107604000*ln2^2*sinf*z2*z3 + 40572000*ln2*sinf^2*z2*z3 + 
    588000*sinf^3*z2*z3 + 56700000*ln2*z2^2*z3 - 40672800*sinf*z2^2*z3 - 
    103299000*ln2^2*z3^2 - 220752000*ln2*sinf*z3^2 - 42556500*sinf^2*z3^2 + 
    253774500*z2*z3^2 - 546840000*ln2^3*z5 - 792918000*ln2^2*sinf*z5 - 
    328104000*ln2*sinf^2*z5 - 29106000*sinf^3*z5 + 758583000*ln2*z2*z5 - 
    60795000*sinf*z2*z5 - 525609000*z3*z5 + 661169250*ln2*z7 + 
    929289375*sinf*z7)/56448000, H[1, 1, 1, -1, 1, -1, 1, 1, 1] -> 
  (42336000*li4half^2 + 451584000*li8half - 86800*ln2^8 + 94752000*ln2^2*s6 - 
    206113950*s8a - 73584000*s8b - 189504000*s8c + 189504000*s8d - 
    169344000*li7half*sinf - 14112000*li4half*ln2^3*sinf - 
    638400*ln2^7*sinf + 120960000*ln2*s6*sinf - 120960000*s7a*sinf - 
    163296000*s7b*sinf + 42336000*li6half*sinf^2 - 
    21168000*li4half*ln2^2*sinf^2 - 921200*ln2^6*sinf^2 - 
    10584000*s6*sinf^2 - 14112000*li5half*sinf^3 - 
    14112000*li4half*ln2*sinf^3 - 509600*ln2^5*sinf^3 - 42336000*li6half*z2 + 
    21168000*li4half*ln2^2*z2 + 2175600*ln2^6*z2 - 368424000*s6*z2 + 
    42336000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    7879200*ln2^5*sinf*z2 + 21168000*li4half*sinf^2*z2 + 
    6762000*ln2^4*sinf^2*z2 + 2744000*ln2^3*sinf^3*z2 + 
    16732800*li4half*z2^2 - 6358800*ln2^4*z2^2 - 15993600*ln2^3*sinf*z2^2 - 
    4057200*ln2^2*sinf^2*z2^2 - 117600*ln2*sinf^3*z2^2 - 
    28098000*ln2^2*z2^3 - 52416000*ln2*sinf*z2^3 - 6048000*sinf^2*z2^3 - 
    48787632*z2^4 - 407232000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    3388000*ln2^5*z3 - 74088000*li4half*sinf*z3 - 20286000*ln2^4*sinf*z3 - 
    18228000*ln2^3*sinf^2*z3 - 6762000*ln2^2*sinf^3*z3 + 
    47404000*ln2^3*z2*z3 + 142002000*ln2^2*sinf*z2*z3 + 
    54684000*ln2*sinf^2*z2*z3 + 6762000*sinf^3*z2*z3 + 
    154719600*ln2*z2^2*z3 + 209235600*sinf*z2^2*z3 + 13125000*ln2^2*z3^2 - 
    151200000*ln2*sinf*z3^2 - 43879500*sinf^2*z3^2 + 178804500*z2*z3^2 - 
    18816000*ln2^3*z5 + 41013000*ln2^2*sinf*z5 + 1690500*sinf^3*z5 + 
    624960000*ln2*z2*z5 + 475933500*sinf*z2*z5 - 216063750*z3*z5 - 
    1280923875*sinf*z7)/28224000, H[1, 1, 1, -1, 1, -1, 1, 0, 1] -> 
  (-846720000*li8half - 21000*ln2^8 - 71568000*ln2^2*s6 + 125759025*s8a - 
    108360000*s8b + 143136000*s8c - 129024000*s8d + 338688000*li7half*sinf - 
    67200*ln2^7*sinf - 69552000*ln2*s6*sinf + 69552000*s7a*sinf + 
    90720000*s7b*sinf - 42336000*li6half*sinf^2 - 58800*ln2^6*sinf^2 + 
    10584000*s6*sinf^2 + 127008000*li6half*z2 - 19600*ln2^6*z2 + 
    219240000*s6*z2 - 705600*ln2^5*sinf*z2 - 882000*ln2^4*sinf^2*z2 - 
    392000*ln2^3*sinf^3*z2 - 25804800*li4half*z2^2 + 2335200*ln2^4*z2^2 + 
    7644000*ln2^3*sinf*z2^2 + 1234800*ln2^2*sinf^2*z2^2 - 
    470400*ln2*sinf^3*z2^2 + 51483600*ln2^2*z2^3 + 68493600*ln2*sinf*z2^3 + 
    4989600*sinf^2*z2^3 + 70524864*z2^4 + 258048000*li5half*z3 - 
    1209600*ln2^5*z3 + 3528000*ln2^4*sinf*z3 + 4704000*ln2^3*sinf^2*z3 + 
    2352000*ln2^2*sinf^3*z3 - 28084000*ln2^3*z2*z3 - 
    89964000*ln2^2*sinf*z2*z3 - 33516000*ln2*sinf^2*z2*z3 - 
    2940000*sinf^3*z2*z3 - 72496200*ln2*z2^2*z3 - 95407200*sinf*z2^2*z3 - 
    15424500*ln2^2*z3^2 + 86940000*ln2*sinf*z3^2 + 25357500*sinf^2*z3^2 - 
    171003000*z2*z3^2 - 20506500*ln2^2*sinf*z5 + 4704000*sinf^3*z5 - 
    485856000*ln2*z2*z5 - 332419500*sinf*z2*z5 + 322478625*z3*z5 + 
    498786750*sinf*z7)/28224000, H[1, 1, 1, -1, 1, -1, 1, -1, 1] -> 
  (-366912000*li8half + 15400*ln2^8 - 22176000*ln2^2*s6 + 24637725*s8a - 
    242424000*s8b + 44352000*s8c - 65520000*s8d + 84672000*li7half*sinf + 
    67200*ln2^7*sinf + 3024000*ln2*s6*sinf - 3024000*s7a*sinf + 
    18144000*s7b*sinf + 98000*ln2^6*sinf^2 + 39200*ln2^5*sinf^3 - 
    529200*ln2^6*z2 + 141624000*s6*z2 - 1528800*ln2^5*sinf*z2 - 
    1470000*ln2^4*sinf^2*z2 - 392000*ln2^3*sinf^3*z2 - 
    13104000*li4half*z2^2 - 546000*ln2^4*z2^2 - 1646400*ln2^3*sinf*z2^2 - 
    1234800*ln2^2*sinf^2*z2^2 + 117600*ln2*sinf^3*z2^2 + 
    19000800*ln2^2*z2^3 + 11844000*ln2*sinf*z2^3 - 1537200*sinf^2*z2^3 + 
    31429836*z2^4 + 131040000*li5half*z3 + 2044000*ln2^5*z3 + 
    7938000*ln2^4*sinf*z3 + 5880000*ln2^3*sinf^2*z3 + 
    588000*ln2^2*sinf^3*z3 - 26320000*ln2^3*z2*z3 - 
    49392000*ln2^2*sinf*z2*z3 - 17640000*ln2*sinf^2*z2*z3 - 
    588000*sinf^3*z2*z3 - 43890000*ln2*z2^2*z3 - 24091200*sinf*z2^2*z3 + 
    23163000*ln2^2*z3^2 + 52668000*ln2*sinf*z3^2 + 6615000*sinf^2*z3^2 - 
    59136000*z2*z3^2 + 28224000*ln2^3*z5 + 7717500*ln2^2*sinf*z5 + 
    28224000*ln2*sinf^2*z5 + 882000*sinf^3*z5 - 245952000*ln2*z2*z5 - 
    84829500*sinf*z2*z5 + 152326125*z3*z5 + 282240000*ln2*z7 + 
    112777875*sinf*z7)/28224000, H[1, 1, 1, -1, 1, -1, 0, 1, 1] -> 
  (-56448000*li4half^2 - 733824000*li8half + 79800*ln2^8 - 
    44352000*ln2^2*s6 + 101644200*s8a - 103824000*s8b + 88704000*s8c - 
    116928000*s8d + 451584000*li7half*sinf + 18816000*li4half*ln2^3*sinf + 
    694400*ln2^7*sinf - 185472000*ln2*s6*sinf + 185472000*s7a*sinf + 
    114912000*s7b*sinf - 127008000*li6half*sinf^2 + 
    28224000*li4half*ln2^2*sinf^2 + 999600*ln2^6*sinf^2 - 
    24696000*s6*sinf^2 + 23520000*li5half*sinf^3 + 
    18816000*li4half*ln2*sinf^3 + 588000*ln2^5*sinf^3 + 
    324576000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 1783600*ln2^6*z2 + 
    336168000*s6*z2 - 155232000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*
     z2 - 7644000*ln2^5*sinf*z2 - 28224000*li4half*sinf^2*z2 - 
    7350000*ln2^4*sinf^2*z2 - 3528000*ln2^3*sinf^3*z2 + 
    4838400*li4half*z2^2 + 8904000*ln2^4*z2^2 + 28929600*ln2^3*sinf*z2^2 + 
    18874800*ln2^2*sinf^2*z2^2 + 2234400*ln2*sinf^3*z2^2 + 
    2696400*ln2^2*z2^3 + 57355200*ln2*sinf*z2^3 + 19555200*sinf^2*z2^3 + 
    17270352*z2^4 + 450240000*li5half*z3 + 37632000*li4half*ln2*z3 + 
    873600*ln2^5*z3 + 98784000*li4half*sinf*z3 + 15582000*ln2^4*sinf*z3 + 
    15288000*ln2^3*sinf^2*z3 + 7644000*ln2^2*sinf^3*z3 - 
    28728000*ln2^3*z2*z3 - 144648000*ln2^2*sinf*z2*z3 - 
    74088000*ln2*sinf^2*z2*z3 - 8820000*sinf^3*z2*z3 - 46384800*ln2*z2^2*z3 - 
    177861600*sinf*z2^2*z3 + 2814000*ln2^2*z3^2 + 231840000*ln2*sinf*z3^2 + 
    61740000*sinf^2*z3^2 - 177660000*z2*z3^2 + 68355000*ln2^2*sinf*z5 - 
    7423500*sinf^3*z5 - 379008000*ln2*z2*z5 - 302935500*sinf*z2*z5 + 
    139755000*z3*z5 + 852476625*sinf*z7)/28224000, 
 H[1, 1, 1, -1, 1, -1, 0, 0, 1] -> (338688000*li8half + 8400*ln2^8 + 
    86688000*ln2^2*s6 - 240812775*s8a - 1148616000*s8b - 173376000*s8c - 
    73584000*s8d - 169344000*li7half*sinf + 33600*ln2^7*sinf + 
    20160000*ln2*s6*sinf - 20160000*s7a*sinf - 147168000*s7b*sinf + 
    28224000*li6half*sinf^2 + 39200*ln2^6*sinf^2 - 31752000*s6*sinf^2 - 
    282240000*li6half*z2 - 627200*ln2^6*z2 + 302400000*s6*z2 + 
    84672000*li5half*sinf*z2 - 1411200*ln2^5*sinf*z2 - 
    588000*ln2^4*sinf^2*z2 - 14716800*li4half*z2^2 + 6442800*ln2^4*z2^2 + 
    11407200*ln2^3*sinf*z2^2 + 5292000*ln2^2*sinf^2*z2^2 + 
    2234400*ln2*sinf^3*z2^2 - 18925200*ln2^2*z2^3 - 18597600*ln2*sinf*z2^3 - 
    3099600*sinf^2*z2^3 + 14589756*z2^4 - 22176000*li5half*z3 - 
    520800*ln2^5*z3 - 2646000*ln2^4*sinf*z3 - 3528000*ln2^3*sinf^2*z3 - 
    1764000*ln2^2*sinf^3*z3 + 15792000*ln2^3*z2*z3 + 
    42336000*ln2^2*sinf*z2*z3 + 31752000*ln2*sinf^2*z2*z3 + 
    4116000*sinf^3*z2*z3 + 154635600*ln2*z2^2*z3 + 101757600*sinf*z2^2*z3 + 
    20853000*ln2^2*z3^2 - 25200000*ln2*sinf*z3^2 - 21168000*sinf^2*z3^2 + 
    263949000*z2*z3^2 + 123039000*ln2^2*sinf*z5 - 8820000*sinf^3*z5 + 
    520128000*ln2*z2*z5 + 475524000*sinf*z2*z5 - 404373375*z3*z5 - 
    1002078000*sinf*z7)/28224000, H[1, 1, 1, -1, 1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 1721664000*li8half + 28224000*li7half*ln2 + 
    14112000*li6half*ln2^2 - 14112000*li5half*ln2^3 + 186900*ln2^8 + 
    7560000*ln2^2*s6 + 16128000*ln2*s7a - 54432000*ln2*s7b - 336298725*s8a - 
    2599128000*s8b - 153216000*s8c - 305424000*s8d + 
    1157184000*li7half*sinf + 28224000*li6half*ln2*sinf - 
    42336000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    946400*ln2^7*sinf - 366912000*ln2*s6*sinf + 261072000*s7a*sinf - 
    112896000*s7b*sinf - 310464000*li6half*sinf^2 - 
    42336000*li5half*ln2*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    1097600*ln2^6*sinf^2 - 141120000*s6*sinf^2 + 37632000*li5half*sinf^3 + 
    18816000*li4half*ln2*sinf^3 + 470400*ln2^5*sinf^3 + 
    395136000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 2861600*ln2^6*z2 + 1065960000*s6*z2 - 
    112896000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    8467200*ln2^5*sinf*z2 - 28224000*li4half*sinf^2*z2 - 
    6174000*ln2^4*sinf^2*z2 - 1960000*ln2^3*sinf^3*z2 - 
    32860800*li4half*z2^2 + 27707400*ln2^4*z2^2 + 65032800*ln2^3*sinf*z2^2 + 
    40924800*ln2^2*sinf^2*z2^2 + 7761600*ln2*sinf^3*z2^2 + 
    33768000*ln2^2*z2^3 + 150393600*ln2*sinf*z2^3 + 50677200*sinf^2*z2^3 + 
    120687984*z2^4 + 664944000*li5half*z3 + 37632000*li4half*ln2*z3 - 
    3738000*ln2^5*z3 + 98784000*li4half*sinf*z3 + 4998000*ln2^4*sinf*z3 + 
    1176000*ln2^3*sinf^2*z3 + 588000*ln2^2*sinf^3*z3 + 36988000*ln2^3*z2*z3 - 
    45864000*ln2^2*sinf*z2*z3 - 17640000*ln2*sinf^2*z2*z3 - 
    1176000*sinf^3*z2*z3 + 328557600*ln2*z2^2*z3 - 10760400*sinf*z2^2*z3 + 
    24139500*ln2^2*z3^2 + 288855000*ln2*sinf*z3^2 + 60637500*sinf^2*z3^2 + 
    144312000*z2*z3^2 + 61519500*ln2^3*z5 + 341775000*ln2^2*sinf*z5 - 
    20506500*ln2*sinf^2*z5 - 35868000*sinf^3*z5 + 606312000*ln2*z2*z5 + 
    476500500*sinf*z2*z5 - 399217875*z3*z5 - 726689250*ln2*z7 - 
    1564557750*sinf*z7)/28224000, H[1, 1, 1, -1, 1, -1, -1, 1, 1] -> 
  (-56448000*li8half + 47600*ln2^8 - 153216000*ln2^2*s6 + 308596050*s8a + 
    1373904000*s8b + 306432000*s8c - 94752000*s8d - 338688000*li7half*sinf + 
    235200*ln2^7*sinf + 6048000*ln2*s6*sinf - 6048000*s7a*sinf + 
    332640000*s7b*sinf + 169344000*li6half*sinf^2 + 431200*ln2^6*sinf^2 + 
    169344000*s6*sinf^2 - 28224000*li5half*sinf^3 + 313600*ln2^5*sinf^3 - 
    169344000*li6half*z2 - 1764000*ln2^6*z2 - 85680000*s6*z2 + 
    84672000*li5half*sinf*z2 - 5880000*ln2^5*sinf*z2 - 
    6468000*ln2^4*sinf^2*z2 - 3136000*ln2^3*sinf^3*z2 - 
    18950400*li4half*z2^2 - 8786400*ln2^4*z2^2 - 30811200*ln2^3*sinf*z2^2 - 
    37044000*ln2^2*sinf^2*z2^2 - 11289600*ln2*sinf^3*z2^2 + 
    42504000*ln2^2*z2^3 + 14364000*ln2*sinf*z2^3 - 25216800*sinf^2*z2^3 + 
    101908008*z2^4 + 133056000*li5half*z3 + 10102400*ln2^5*z3 + 
    34398000*ln2^4*sinf*z3 + 36456000*ln2^3*sinf^2*z3 + 
    13524000*ln2^2*sinf^3*z3 - 109256000*ln2^3*z2*z3 - 
    190512000*ln2^2*sinf*z2*z3 - 81144000*ln2*sinf^2*z2*z3 - 
    13524000*sinf^3*z2*z3 - 271958400*ln2*z2^2*z3 - 223524000*sinf*z2^2*z3 + 
    12180000*ln2^2*z3^2 - 7560000*ln2*sinf*z3^2 + 3969000*sinf^2*z3^2 - 
    308469000*z2*z3^2 + 141120000*ln2^3*z5 - 172872000*ln2^2*sinf*z5 + 
    54243000*sinf^3*z5 - 1229760000*ln2*z2*z5 - 1305675000*sinf*z2*z5 + 
    325757250*z3*z5 + 2930263875*sinf*z7)/56448000, 
 H[1, 1, 1, -1, 1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 + 1636992000*li8half + 89600*ln2^8 + 
    210672000*ln2^2*s6 - 239102325*s8a - 249480000*s8b - 421344000*s8c + 
    308448000*s8d - 620928000*li7half*sinf + 9408000*li4half*ln2^3*sinf + 
    515200*ln2^7*sinf + 189504000*ln2*s6*sinf - 189504000*s7a*sinf - 
    316512000*s7b*sinf + 56448000*li6half*sinf^2 + 
    14112000*li4half*ln2^2*sinf^2 + 666400*ln2^6*sinf^2 - 
    63504000*s6*sinf^2 + 9408000*li5half*sinf^3 + 
    9408000*li4half*ln2*sinf^3 + 313600*ln2^5*sinf^3 - 56448000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 823200*ln2^6*z2 - 496944000*s6*z2 - 
    197568000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1411200*ln2^5*sinf*z2 + 70560000*li4half*sinf^2*z2 + 
    1764000*ln2^4*sinf^2*z2 - 784000*ln2^3*sinf^3*z2 + 
    58867200*li4half*z2^2 - 3192000*ln2^4*z2^2 - 17640000*ln2^3*sinf*z2^2 - 
    20109600*ln2^2*sinf^2*z2^2 + 940800*ln2*sinf^3*z2^2 - 
    138902400*ln2^2*z2^3 - 201751200*ln2*sinf*z2^3 - 30542400*sinf^2*z2^3 - 
    291069432*z2^4 - 428736000*li5half*z3 + 18816000*li4half*ln2*z3 + 
    4121600*ln2^5*z3 - 119952000*li4half*sinf*z3 - 5880000*ln2^4*sinf*z3 - 
    1176000*ln2^3*sinf^2*z3 - 588000*ln2^2*sinf^3*z3 + 71092000*ln2^3*z2*z3 + 
    271656000*ln2^2*sinf*z2*z3 + 153468000*ln2*sinf^2*z2*z3 + 
    14112000*sinf^3*z2*z3 + 149062200*ln2*z2^2*z3 + 200541600*sinf*z2^2*z3 + 
    58075500*ln2^2*z3^2 - 236880000*ln2*sinf*z3^2 - 48730500*sinf^2*z3^2 + 
    481383000*z2*z3^2 + 123039000*ln2^2*sinf*z5 - 36750000*sinf^3*z5 + 
    1842624000*ln2*z2*z5 + 1529955000*sinf*z2*z5 - 459304125*z3*z5 - 
    2107609875*sinf*z7)/56448000, H[1, 1, 1, -1, 1, -1, -1, -1, 1] -> 
  (-4032000*li4half^2 + 2419200*s8a + 56448000*li7half*sinf + 
    1344000*li4half*ln2^3*sinf + 20800*ln2^7*sinf - 14400000*ln2*s6*sinf + 
    14400000*s7a*sinf - 3744000*s7b*sinf - 28224000*li6half*sinf^2 + 
    2016000*li4half*ln2^2*sinf^2 + 16800*ln2^6*sinf^2 - 9072000*s6*sinf^2 + 
    5376000*li5half*sinf^3 + 1344000*li4half*ln2*sinf^3 + 
    28224000*li6half*z2 - 2016000*li4half*ln2^2*z2 + 95200*ln2^6*z2 + 
    9072000*s6*z2 - 16128000*li5half*sinf*z2 - 8064000*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 - 2016000*li4half*sinf^2*z2 + 
    420000*ln2^4*sinf^2*z2 + 224000*ln2^3*sinf^3*z2 + 2016000*li4half*z2^2 + 
    1898400*ln2^4*z2^2 + 6081600*ln2^3*sinf*z2^2 + 
    5796000*ln2^2*sinf^2*z2^2 + 1612800*ln2*sinf^3*z2^2 + 943200*ln2^2*z2^3 + 
    9386400*ln2*sinf*z2^3 + 5491200*sinf^2*z2^3 - 2317248*z2^4 + 
    10752000*li5half*z3 + 2688000*li4half*ln2*z3 - 1344000*ln2^5*z3 + 
    7056000*li4half*sinf*z3 - 3738000*ln2^4*sinf*z3 - 
    4032000*ln2^3*sinf^2*z3 - 1344000*ln2^2*sinf^3*z3 + 
    12544000*ln2^3*z2*z3 + 14364000*ln2^2*sinf*z2*z3 + 
    4032000*ln2*sinf^2*z2*z3 + 7257600*ln2*z2^2*z3 - 360000*sinf*z2^2*z3 - 
    14784000*ln2^2*z3^2 + 1872000*ln2*sinf*z3^2 + 2898000*sinf^2*z3^2 + 
    5166000*z2*z3^2 - 27552000*ln2^3*z5 - 26775000*ln2^2*sinf*z5 - 
    22176000*ln2*sinf^2*z5 - 5376000*sinf^3*z5 + 66528000*ln2*z2*z5 + 
    49869000*sinf*z2*z5 - 43008000*z3*z5 - 111384000*ln2*z7 - 
    105616125*sinf*z7)/8064000, H[1, 1, 1, -1, 0, 1, 1, 1, 1] -> 
  (-3528000*li4half^2 - 7056000*li8half + 5950*ln2^8 + 1512000*ln2^2*s6 - 
    13798575*s8a - 165564000*s8b - 3024000*s8c - 14616000*s8d + 
    7056000*li7half*sinf + 1176000*li4half*ln2^3*sinf + 47600*ln2^7*sinf - 
    14616000*ln2*s6*sinf + 14616000*s7a*sinf - 3024000*s7b*sinf - 
    3528000*li6half*sinf^2 + 1764000*li4half*ln2^2*sinf^2 + 
    68600*ln2^6*sinf^2 - 8820000*s6*sinf^2 + 1176000*li5half*sinf^3 + 
    1176000*li4half*ln2*sinf^3 + 39200*ln2^5*sinf^3 + 3528000*li6half*z2 - 
    1764000*li4half*ln2^2*z2 - 137200*ln2^6*z2 + 46872000*s6*z2 - 
    3528000*li5half*sinf*z2 - 7056000*li4half*ln2*sinf*z2 - 
    529200*ln2^5*sinf*z2 - 1764000*li4half*sinf^2*z2 - 
    441000*ln2^4*sinf^2*z2 - 196000*ln2^3*sinf^3*z2 - 3981600*li4half*z2^2 + 
    539700*ln2^4*z2^2 + 1940400*ln2^3*sinf*z2^2 + 1146600*ln2^2*sinf^2*z2^2 + 
    470400*ln2*sinf^3*z2^2 + 6010200*ln2^2*z2^3 + 16405200*ln2*sinf*z2^3 + 
    1108800*sinf^2*z2^3 + 4002678*z2^4 + 31584000*li5half*z3 + 
    2352000*li4half*ln2*z3 + 40600*ln2^5*z3 + 6174000*li4half*sinf*z3 + 
    1029000*ln2^4*sinf*z3 + 1029000*ln2^3*sinf^2*z3 + 
    514500*ln2^2*sinf^3*z3 - 1043000*ln2^3*z2*z3 - 7717500*ln2^2*sinf*z2*z3 - 
    3087000*ln2*sinf^2*z2*z3 - 514500*sinf^3*z2*z3 + 7373100*ln2*z2^2*z3 - 
    4378500*sinf*z2^2*z3 + 1454250*ln2^2*z3^2 + 18270000*ln2*sinf*z3^2 + 
    6008625*sinf^2*z3^2 - 690375*z2*z3^2 + 17088750*ln2^2*sinf*z5 - 
    992250*sinf^3*z5 + 9072000*ln2*z2*z5 + 12411000*sinf*z2*z5 + 
    30405375*z3*z5 - 50722875*sinf*z7)/7056000, 
 H[1, 1, 1, -1, 0, 1, 1, 0, 1] -> (-39312000*ln2^2*s6 + 164182725*s8a + 
    1319976000*s8b + 78624000*s8c + 76608000*s8d + 76608000*ln2*s6*sinf - 
    76608000*s7a*sinf + 78624000*s7b*sinf + 77616000*s6*sinf^2 + 
    56448000*li6half*z2 + 78400*ln2^6*z2 - 520128000*s6*z2 - 
    56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 + 
    37900800*li4half*z2^2 - 772800*ln2^4*z2^2 - 9408000*ln2^3*sinf*z2^2 - 
    14112000*ln2^2*sinf^2*z2^2 - 4704000*ln2*sinf^3*z2^2 - 
    10080000*ln2^2*z2^3 - 45612000*ln2*sinf*z2^3 - 6098400*sinf^2*z2^3 - 
    20769264*z2^4 - 96768000*li5half*z3 + 806400*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 - 9828000*ln2^3*z2*z3 + 
    8820000*ln2^2*sinf*z2*z3 - 5292000*ln2*sinf^2*z2*z3 - 
    588000*sinf^3*z2*z3 - 90035400*ln2*z2^2*z3 - 28425600*sinf*z2^2*z3 - 
    11056500*ln2^2*z3^2 - 95760000*ln2*sinf*z3^2 - 26239500*sinf^2*z3^2 - 
    12516000*z2*z3^2 - 150381000*ln2^2*sinf*z5 + 7791000*sinf^3*z5 - 
    235872000*ln2*z2*z5 - 330624000*sinf*z2*z5 - 86611875*z3*z5 + 
    819637875*sinf*z7)/56448000, H[1, 1, 1, -1, 0, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 1693440000*li8half - 423360000*li7half*ln2 - 
    141120000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 1176000*li4half*ln2^4 - 
    89600*ln2^8 - 363384000*ln2^2*s6 - 58464000*ln2*s7a + 12096000*ln2*s7b + 
    997359300*s8a + 5759712000*s8b + 737856000*s8c + 504000000*s8d - 
    1806336000*li7half*sinf - 282240000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf - 14112000*li4half*ln2^3*sinf - 
    386400*ln2^7*sinf + 357840000*ln2*s6*sinf - 463680000*s7a*sinf + 
    552384000*s7b*sinf + 211680000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 - 21168000*li4half*ln2^2*sinf^2 - 
    352800*ln2^6*sinf^2 + 130536000*s6*sinf^2 - 32928000*li5half*sinf^3 - 
    14112000*li4half*ln2*sinf^3 - 313600*ln2^5*sinf^3 - 70560000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 705600*ln2^6*z2 - 
    1706544000*s6*z2 + 127008000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 5527200*ln2^5*sinf*z2 + 
    21168000*li4half*sinf^2*z2 + 4704000*ln2^4*sinf^2*z2 + 
    4312000*ln2^3*sinf^3*z2 + 92332800*li4half*z2^2 - 18967200*ln2^4*z2^2 - 
    74088000*ln2^3*sinf*z2^2 - 58741200*ln2^2*sinf^2*z2^2 - 
    8114400*ln2*sinf^3*z2^2 + 35985600*ln2^2*z2^3 - 92534400*ln2*sinf*z2^3 - 
    31046400*sinf^2*z2^3 - 90248472*z2^4 - 1123248000*li5half*z3 - 
    52920000*li4half*ln2*z3 + 7155400*ln2^5*z3 - 74088000*li4half*sinf*z3 - 
    3087000*ln2^4*sinf*z3 - 73318000*ln2^3*z2*z3 + 
    37044000*ln2^2*sinf*z2*z3 - 827933400*ln2*z2^2*z3 - 
    132879600*sinf*z2^2*z3 - 151593750*ln2^2*z3^2 - 529105500*ln2*sinf*z3^2 - 
    48951000*sinf^2*z3^2 - 759449250*z2*z3^2 - 47848500*ln2^3*z5 - 
    922792500*ln2^2*sinf*z5 + 61519500*ln2*sinf^2*z5 + 33589500*sinf^3*z5 - 
    2374344000*ln2*z2*z5 - 1816668000*sinf*z2*z5 + 1222244625*z3*z5 + 
    767371500*ln2*z7 + 4451532750*sinf*z7)/28224000, 
 H[1, 1, 1, -1, 0, 1, 0, 1, 1] -> (56448000*li4half^2 + 112896000*li8half - 
    95200*ln2^8 + 66528000*ln2^2*s6 - 126281925*s8a + 346248000*s8b - 
    133056000*s8c + 182448000*s8d - 112896000*li7half*sinf - 
    18816000*li4half*ln2^3*sinf - 761600*ln2^7*sinf + 182448000*ln2*s6*sinf - 
    182448000*s7a*sinf - 133056000*s7b*sinf + 56448000*li6half*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 1097600*ln2^6*sinf^2 + 
    24696000*s6*sinf^2 - 18816000*li5half*sinf^3 - 
    18816000*li4half*ln2*sinf^3 - 627200*ln2^5*sinf^3 + 28224000*li6half*z2 + 
    28224000*li4half*ln2^2*z2 + 2312800*ln2^6*z2 - 477792000*s6*z2 - 
    28224000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 + 
    9172800*ln2^5*sinf*z2 + 70560000*li4half*sinf^2*z2 + 
    8820000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 + 
    59068800*li4half*z2^2 - 8358000*ln2^4*z2^2 - 29164800*ln2^3*sinf*z2^2 - 
    15523200*ln2^2*sinf^2*z2^2 + 1411200*ln2*sinf^3*z2^2 - 
    23007600*ln2^2*z2^3 - 66175200*ln2*sinf*z2^3 - 20134800*sinf^2*z2^3 - 
    47389788*z2^4 - 233184000*li5half*z3 - 37632000*li4half*ln2*z3 - 
    2917600*ln2^5*z3 - 268128000*li4half*sinf*z3 - 23520000*ln2^4*sinf*z3 - 
    16464000*ln2^3*sinf^2*z3 - 8232000*ln2^2*sinf^3*z3 + 
    39368000*ln2^3*z2*z3 + 165816000*ln2^2*sinf*z2*z3 + 
    49392000*ln2*sinf^2*z2*z3 + 5292000*sinf^3*z2*z3 + 
    100623600*ln2*z2^2*z3 + 220298400*sinf*z2^2*z3 + 2247000*ln2^2*z3^2 - 
    228060000*ln2*sinf*z3^2 - 43659000*sinf^2*z3^2 + 126252000*z2*z3^2 - 
    47848500*ln2^2*sinf*z5 + 6541500*sinf^3*z5 + 399168000*ln2*z2*z5 + 
    359541000*sinf*z2*z5 - 143905125*z3*z5 - 965254500*sinf*z7)/28224000, 
 H[1, 1, 1, -1, 0, 1, 0, 0, 1] -> (-13104000*ln2^2*s6 - 4274550*s8a - 
    247968000*s8b + 26208000*s8c - 61488000*s8d - 61488000*ln2*s6*sinf + 
    61488000*s7a*sinf + 26208000*s7b*sinf - 17640000*s6*sinf^2 - 
    56448000*li6half*z2 - 78400*ln2^6*z2 + 168840000*s6*z2 + 
    56448000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 1176000*ln2^4*sinf^2*z2 - 
    27820800*li4half*z2^2 + 722400*ln2^4*z2^2 + 7526400*ln2^3*sinf*z2^2 + 
    11289600*ln2^2*sinf^2*z2^2 + 2822400*ln2*sinf^3*z2^2 + 
    6048000*ln2^2*z2^3 + 18194400*ln2*sinf*z2^3 + 4216800*sinf^2*z2^3 + 
    29881092*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 + 
    98784000*li4half*sinf*z3 + 4116000*ln2^4*sinf*z3 - 3276000*ln2^3*z2*z3 - 
    40572000*ln2^2*sinf*z2*z3 - 15876000*ln2*sinf^2*z2*z3 - 
    1764000*sinf^3*z2*z3 - 4296600*ln2*z2^2*z3 - 35758800*sinf*z2^2*z3 - 
    3685500*ln2^2*z3^2 + 76860000*ln2*sinf*z3^2 + 13009500*sinf^2*z3^2 - 
    20979000*z2*z3^2 + 34177500*ln2^2*sinf*z5 + 1543500*sinf^3*z5 - 
    78624000*ln2*z2*z5 - 137623500*sinf*z2*z5 + 15419250*z3*z5 + 
    201292875*sinf*z7)/14112000, H[1, 1, 1, -1, 0, 1, 0, -1, 1] -> 
  (42336000*li4half^2 + 112896000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 8232000*li4half*ln2^4 + 168700*ln2^8 - 
    48888000*ln2^2*s6 + 55440000*ln2*s7a + 118944000*ln2*s7b - 48114675*s8a + 
    64008000*s8b - 76608000*s8c + 76608000*s8d + 225792000*li7half*sinf + 
    112896000*li6half*ln2*sinf + 56448000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 425600*ln2^7*sinf - 55440000*ln2*s6*sinf - 
    8064000*s7a*sinf + 118944000*s7b*sinf + 56448000*li5half*ln2*sinf^2 + 
    28224000*li4half*ln2^2*sinf^2 + 705600*ln2^6*sinf^2 + 
    37632000*li5half*sinf^3 + 18816000*li4half*ln2*sinf^3 + 
    470400*ln2^5*sinf^3 - 14112000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    77616000*li4half*ln2^2*z2 - 2626400*ln2^6*z2 - 153216000*s6*z2 - 
    211680000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    4351200*ln2^5*sinf*z2 - 7056000*li4half*sinf^2*z2 - 
    2646000*ln2^4*sinf^2*z2 - 1568000*ln2^3*sinf^3*z2 - 
    38304000*li4half*z2^2 + 8135400*ln2^4*z2^2 + 18933600*ln2^3*sinf*z2^2 + 
    14288400*ln2^2*sinf^2*z2^2 + 8349600*ln2*sinf^3*z2^2 + 
    42940800*ln2^2*z2^3 + 42084000*ln2*sinf*z2^3 + 4334400*sinf^2*z2^3 + 
    5380272*z2^4 + 73752000*li5half*z3 + 210504000*li4half*ln2*z3 + 
    8156400*ln2^5*z3 + 45864000*li4half*sinf*z3 + 1911000*ln2^4*sinf*z3 - 
    46480000*ln2^3*z2*z3 - 11466000*ln2^2*sinf*z2*z3 - 1470000*sinf^3*z2*z3 - 
    41235600*ln2*z2^2*z3 - 44604000*sinf*z2^2*z3 + 66512250*ln2^2*z3^2 - 
    37201500*ln2*sinf*z3^2 + 2756250*sinf^2*z3^2 + 56500500*z2*z3^2 - 
    91140000*ln2^3*z5 - 211900500*ln2^2*sinf*z5 - 88861500*ln2*sinf^2*z5 - 
    36162000*sinf^3*z5 + 56164500*ln2*z2*z5 - 161091000*sinf*z2*z5 - 
    182125125*z3*z5 + 232753500*ln2*z7 + 380984625*sinf*z7)/28224000, 
 H[1, 1, 1, -1, 0, 1, -1, 1, 1] -> 
  (-858009600*li8half - 14112000*li6half*ln2^2 - 7526400*li5half*ln2^3 + 
    705600*li4half*ln2^4 + 51240*ln2^8 + 93744000*ln2^2*s6 - 302960700*s8a - 
    1804118400*s8b - 201600000*s8c - 151200000*s8d + 570124800*li7half*sinf - 
    11289600*li5half*ln2^2*sinf + 1881600*li4half*ln2^3*sinf + 
    59360*ln2^7*sinf - 116524800*ln2*s6*sinf + 116524800*s7a*sinf - 
    168537600*s7b*sinf - 118540800*li6half*sinf^2 + 
    1411200*li4half*ln2^2*sinf^2 - 105840*ln2^6*sinf^2 - 66326400*s6*sinf^2 + 
    10348800*li5half*sinf^3 - 86240*ln2^5*sinf^3 + 132652800*li6half*z2 + 
    22579200*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 - 152880*ln2^6*z2 + 
    552182400*s6*z2 - 19756800*li5half*sinf*z2 - 5644800*li4half*ln2*sinf*
     z2 - 517440*ln2^5*sinf*z2 - 1411200*li4half*sinf^2*z2 - 
    58800*ln2^4*sinf^2*z2 - 548800*ln2^3*sinf^3*z2 - 33768000*li4half*z2^2 + 
    5255040*ln2^4*z2^2 + 19356960*ln2^3*sinf*z2^2 + 
    15911280*ln2^2*sinf^2*z2^2 + 3316320*ln2*sinf^3*z2^2 - 
    12453840*ln2^2*z2^3 + 40259520*ln2*sinf*z2^3 + 15639120*sinf^2*z2^3 + 
    45153072*z2^4 + 283584000*li5half*z3 - 2857120*ln2^5*z3 + 
    9878400*li4half*sinf*z3 - 1440600*ln2^4*sinf*z3 - 
    2469600*ln2^3*sinf^2*z3 - 1234800*ln2^2*sinf^3*z3 + 
    28218400*ln2^3*z2*z3 + 4939200*ln2^2*sinf*z2*z3 + 
    7408800*ln2*sinf^2*z2*z3 + 1234800*sinf^3*z2*z3 + 223231680*ln2*z2^2*z3 + 
    56480760*sinf*z2^2*z3 + 30687300*ln2^2*z3^2 + 145656000*ln2*sinf*z3^2 + 
    18389700*sinf^2*z3^2 + 196623000*z2*z3^2 + 13671000*ln2^3*z5 + 
    296660700*ln2^2*sinf*z5 - 12421500*sinf^3*z5 + 563787000*ln2*z2*z5 + 
    520745400*sinf*z2*z5 - 226962750*z3*z5 - 1405270125*sinf*z7)/5644800, 
 H[1, 1, 1, -1, 0, 1, -1, 0, 1] -> (84672000*li4half^2 + 2257920000*li8half - 
    2352000*li4half*ln2^4 - 189000*ln2^8 - 333648000*ln2^2*s6 + 
    834354675*s8a + 4267368000*s8b + 667296000*s8c + 179424000*s8d - 
    1806336000*li7half*sinf - 37632000*li4half*ln2^3*sinf - 
    1209600*ln2^7*sinf + 292320000*ln2*s6*sinf - 292320000*s7a*sinf + 
    399168000*s7b*sinf + 677376000*li6half*sinf^2 - 
    56448000*li4half*ln2^2*sinf^2 - 1411200*ln2^6*sinf^2 + 
    366912000*s6*sinf^2 - 150528000*li5half*sinf^3 - 
    37632000*li4half*ln2*sinf^3 - 313600*ln2^5*sinf^3 - 
    2511936000*li6half*z2 - 338688000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 4821600*ln2^6*z2 - 2094624000*s6*z2 + 
    1072512000*li5half*sinf*z2 + 310464000*li4half*ln2*sinf*z2 + 
    5880000*ln2^5*sinf*z2 - 42336000*li4half*sinf^2*z2 - 
    1764000*ln2^4*sinf^2*z2 - 3136000*ln2^3*sinf^3*z2 + 
    3427200*li4half*z2^2 - 25552800*ln2^4*z2^2 - 39043200*ln2^3*sinf*z2^2 - 
    44100000*ln2^2*sinf^2*z2^2 - 32692800*ln2*sinf^3*z2^2 + 
    222919200*ln2^2*z2^3 + 17035200*ln2*sinf*z2^3 - 78321600*sinf^2*z2^3 + 
    203079528*z2^4 - 1026816000*li5half*z3 - 75264000*li4half*ln2*z3 + 
    5420800*ln2^5*z3 - 63504000*li4half*sinf*z3 - 2646000*ln2^4*sinf*z3 - 
    89684000*ln2^3*z2*z3 - 52920000*ln2^2*sinf*z2*z3 - 
    68796000*ln2*sinf^2*z2*z3 - 7644000*sinf^3*z2*z3 - 
    665460600*ln2*z2^2*z3 - 87418800*sinf*z2^2*z3 - 93838500*ln2^2*z3^2 - 
    365400000*ln2*sinf*z3^2 - 100327500*sinf^2*z3^2 - 193389000*z2*z3^2 - 
    669879000*ln2^2*sinf*z5 + 160818000*sinf^3*z5 - 1386693000*ln2*z2*z5 - 
    2275056000*sinf*z2*z5 + 896786625*z3*z5 + 3835644750*sinf*z7)/56448000, 
 H[1, 1, 1, -1, 0, 1, -1, -1, 1] -> 
  (112896000*li4half^2 + 4798080000*li8half + 508032000*li7half*ln2 + 
    310464000*li6half*ln2^2 + 75264000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 - 471800*ln2^8 - 538272000*ln2^2*s6 + 
    135072000*ln2*s7a - 20160000*ln2*s7b + 1588699350*s8a + 10338048000*s8b + 
    1088640000*s8c + 929376000*s8d - 2483712000*li7half*sinf + 
    338688000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 1545600*ln2^7*sinf + 
    741888000*ln2*s6*sinf - 600768000*s7a*sinf + 796320000*s7b*sinf + 
    677376000*li6half*sinf^2 - 42336000*li4half*ln2^2*sinf^2 - 
    823200*ln2^6*sinf^2 + 366912000*s6*sinf^2 - 65856000*li5half*sinf^3 - 
    18816000*li4half*ln2*sinf^3 - 235200*ln2^5*sinf^3 - 
    846720000*li6half*z2 - 112896000*li5half*ln2*z2 + 3057600*ln2^6*z2 - 
    3305232000*s6*z2 + 197568000*li5half*sinf*z2 + 
    141120000*li4half*ln2*sinf*z2 + 12700800*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 8232000*ln2^4*sinf^2*z2 + 
    6272000*ln2^3*sinf^3*z2 + 111081600*li4half*z2^2 - 43881600*ln2^4*z2^2 - 
    139003200*ln2^3*sinf*z2^2 - 100900800*ln2^2*sinf^2*z2^2 - 
    16228800*ln2*sinf^3*z2^2 + 150696000*ln2^2*z2^3 - 
    169596000*ln2*sinf*z2^3 - 87847200*sinf^2*z2^3 - 166031064*z2^4 - 
    1962240000*li5half*z3 + 54096000*li4half*ln2*z3 + 18606000*ln2^5*z3 - 
    105840000*li4half*sinf*z3 - 4410000*ln2^4*sinf*z3 - 
    162932000*ln2^3*z2*z3 + 63504000*ln2^2*sinf*z2*z3 - 
    1323403200*ln2*z2^2*z3 - 183078000*sinf*z2^2*z3 - 91192500*ln2^2*z3^2 - 
    868707000*ln2*sinf*z3^2 - 137592000*sinf^2*z3^2 - 1005448500*z2*z3^2 + 
    13671000*ln2^3*z5 - 1558494000*ln2^2*sinf*z5 + 64974000*sinf^3*z5 - 
    2996784000*ln2*z2*z5 - 2577771000*sinf*z2*z5 + 1193104500*z3*z5 - 
    900317250*ln2*z7 + 6199648875*sinf*z7)/56448000, 
 H[1, 1, 1, -1, 0, 0, 1, 1, 1] -> (-14112000*li4half^2 - 28224000*li8half + 
    23800*ln2^8 - 6048000*ln2^2*s6 + 43188075*s8a + 58968000*s8b + 
    12096000*s8c - 19152000*s8d + 28224000*li7half*sinf + 
    4704000*li4half*ln2^3*sinf + 190400*ln2^7*sinf - 19152000*ln2*s6*sinf + 
    19152000*s7a*sinf + 12096000*s7b*sinf - 14112000*li6half*sinf^2 + 
    7056000*li4half*ln2^2*sinf^2 + 274400*ln2^6*sinf^2 - 3528000*s6*sinf^2 + 
    4704000*li5half*sinf^3 + 4704000*li4half*ln2*sinf^3 + 
    156800*ln2^5*sinf^3 + 14112000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 
    548800*ln2^6*z2 + 45360000*s6*z2 - 14112000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 2116800*ln2^5*sinf*z2 - 
    7056000*li4half*sinf^2*z2 - 1764000*ln2^4*sinf^2*z2 - 
    784000*ln2^3*sinf^3*z2 + 52617600*li4half*z2^2 + 4603200*ln2^4*z2^2 + 
    6115200*ln2^3*sinf*z2^2 + 2116800*ln2^2*sinf^2*z2^2 + 
    235200*ln2*sinf^3*z2^2 - 14842800*ln2^2*z2^3 + 2167200*ln2*sinf*z2^3 + 
    378000*sinf^2*z2^3 - 33525468*z2^4 + 90048000*li5half*z3 + 
    9408000*li4half*ln2*z3 + 464800*ln2^5*z3 - 17640000*li4half*sinf*z3 + 
    2352000*ln2^4*sinf*z3 + 4116000*ln2^3*sinf^2*z3 + 
    2058000*ln2^2*sinf^3*z3 - 7196000*ln2^3*z2*z3 - 
    20286000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 - 
    2058000*sinf^3*z2*z3 - 562800*ln2*z2^2*z3 - 44755200*sinf*z2^2*z3 + 
    2415000*ln2^2*z3^2 + 23940000*ln2*sinf*z3^2 + 17860500*sinf^2*z3^2 - 
    27961500*z2*z3^2 + 6835500*ln2^2*sinf*z5 - 1102500*sinf^3*z5 - 
    36288000*ln2*z2*z5 - 32004000*sinf*z2*z5 + 77434875*z3*z5 + 
    222185250*sinf*z7)/14112000, H[1, 1, 1, -1, 0, 0, 1, 0, 1] -> 
  (-27216000*ln2^2*s6 + 68170725*s8a + 164808000*s8b + 54432000*s8c + 
    16128000*s8d + 16128000*ln2*s6*sinf - 16128000*s7a*sinf + 
    54432000*s7b*sinf + 35280000*s6*sinf^2 + 56448000*li6half*z2 + 
    78400*ln2^6*z2 - 18144000*s6*z2 - 56448000*li5half*sinf*z2 + 
    470400*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 + 
    1176000*ln2^4*sinf^2*z2 - 27820800*li4half*z2^2 - 3746400*ln2^4*z2^2 - 
    10348800*ln2^3*sinf*z2^2 - 15523200*ln2^2*sinf^2*z2^2 - 
    5644800*ln2*sinf^3*z2^2 + 27921600*ln2^2*z2^3 + 25956000*ln2*sinf*z2^3 + 
    5460000*sinf^2*z2^3 + 8724096*z2^4 - 145152000*li5half*z3 + 
    1209600*ln2^5*z3 + 112896000*li4half*sinf*z3 + 4704000*ln2^4*sinf*z3 - 
    6804000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 + 
    15876000*ln2*sinf^2*z2*z3 + 1764000*sinf^3*z2*z3 - 90556200*ln2*z2^2*z3 - 
    48636000*sinf*z2^2*z3 - 7654500*ln2^2*z3^2 - 20160000*ln2*sinf*z3^2 - 
    44761500*sinf^2*z3^2 + 6804000*z2*z3^2 - 68355000*ln2^2*sinf*z5 + 
    1617000*sinf^3*z5 - 163296000*ln2*z2*z5 - 17010000*sinf*z2*z5 + 
    68872125*z3*z5 + 57967875*sinf*z7)/28224000, 
 H[1, 1, 1, -1, 0, 0, 1, -1, 1] -> (-28224000*li4half^2 + 564480000*li8half + 
    338688000*li7half*ln2 + 112896000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 298200*ln2^8 + 
    291312000*ln2^2*s6 + 129024000*ln2*s7a + 143136000*ln2*s7b - 
    616174650*s8a - 2727648000*s8b - 572544000*s8c - 231840000*s8d + 
    225792000*li7half*sinf + 225792000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    985600*ln2^7*sinf + 98784000*ln2*s6*sinf + 169344000*s7a*sinf - 
    239904000*s7b*sinf + 169344000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    1411200*ln2^6*sinf^2 + 119952000*s6*sinf^2 - 18816000*li4half*ln2*
     sinf^3 - 784000*ln2^5*sinf^3 - 282240000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 2783200*ln2^6*z2 + 
    611856000*s6*z2 - 56448000*li5half*sinf*z2 - 141120000*li4half*ln2*sinf*
     z2 + 235200*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 + 
    9408000*ln2^4*sinf^2*z2 + 4704000*ln2^3*sinf^3*z2 - 
    52012800*li4half*z2^2 - 12104400*ln2^4*z2^2 - 5644800*ln2^3*sinf*z2^2 - 
    45511200*ln2^2*sinf^2*z2^2 - 55188000*ln2^2*z2^3 - 
    8316000*ln2*sinf*z2^3 - 18950400*sinf^2*z2^3 - 30128184*z2^4 + 
    393120000*li5half*z3 + 159936000*li4half*ln2*z3 + 3388000*ln2^5*z3 + 
    70560000*li4half*sinf*z3 + 2940000*ln2^4*sinf*z3 - 7224000*ln2^3*z2*z3 - 
    17640000*ln2^2*sinf*z2*z3 + 68796000*ln2*sinf^2*z2*z3 + 
    365727600*ln2*z2^2*z3 + 55742400*sinf*z2^2*z3 + 172998000*ln2^2*z3^2 + 
    74088000*ln2*sinf*z3^2 - 67914000*sinf^2*z3^2 + 704592000*z2*z3^2 - 
    59241000*ln2^3*z5 + 259749000*ln2^2*sinf*z5 - 136710000*ln2*sinf^2*z5 + 
    4410000*sinf^3*z5 + 1567503000*ln2*z2*z5 + 840987000*sinf*z2*z5 - 
    1278411750*z3*z5 - 56755125*ln2*z7 - 1532971125*sinf*z7)/56448000, 
 H[1, 1, 1, -1, 0, 0, 0, 1, 1] -> (8064000*ln2^2*s6 - 33832575*s8a - 
    244440000*s8b - 16128000*s8c - 19152000*s8d - 19152000*ln2*s6*sinf + 
    19152000*s7a*sinf - 16128000*s7b*sinf - 17640000*s6*sinf^2 - 
    28224000*li6half*z2 - 39200*ln2^6*z2 + 101808000*s6*z2 + 
    28224000*li5half*sinf*z2 - 235200*ln2^5*sinf*z2 - 
    14112000*li4half*sinf^2*z2 - 588000*ln2^4*sinf^2*z2 - 
    8064000*li4half*z2^2 + 487200*ln2^4*z2^2 + 3292800*ln2^3*sinf*z2^2 + 
    4939200*ln2^2*sinf^2*z2^2 + 940800*ln2*sinf^3*z2^2 - 831600*ln2^2*z2^3 + 
    4788000*ln2*sinf*z2^3 + 2226000*sinf^2*z2^3 + 12049908*z2^4 + 
    24192000*li5half*z3 - 201600*ln2^5*z3 + 14112000*li4half*sinf*z3 + 
    588000*ln2^4*sinf*z3 + 2016000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 + 
    1764000*sinf^3*z2*z3 + 19723200*ln2*z2^2*z3 + 226800*sinf*z2^2*z3 + 
    2268000*ln2^2*z3^2 + 23940000*ln2*sinf*z3^2 + 7056000*sinf^2*z3^2 + 
    22680000*z2*z3^2 + 34177500*ln2^2*sinf*z5 - 4336500*sinf^3*z5 + 
    48384000*ln2*z2*z5 + 87948000*sinf*z2*z5 - 64971375*z3*z5 - 
    185850000*sinf*z7)/14112000, H[1, 1, 1, -1, 0, 0, 0, 0, 1] -> 
  (35175*s8a + 705600*s8b + 67200*s8d + 67200*ln2*s6*sinf - 67200*s7a*sinf + 
    33600*s6*sinf^2 - 369600*s6*z2 + 107520*li4half*z2^2 + 4480*ln2^4*z2^2 - 
    26880*ln2^2*z2^3 - 26880*ln2*sinf*z2^3 - 7680*sinf^2*z2^3 - 45108*z2^4 - 
    134400*li4half*sinf*z3 - 5600*ln2^4*sinf*z3 + 33600*ln2^2*sinf*z2*z3 + 
    1680*sinf*z2^2*z3 - 84000*ln2*sinf*z3^2 - 33600*z2*z3^2 - 
    65100*ln2^2*sinf*z5 + 10500*sinf^3*z5 - 224700*sinf*z2*z5 + 
    108675*z3*z5 + 463050*sinf*z7)/67200, H[1, 1, 1, -1, 0, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    55944000*ln2^2*s6 - 35280000*ln2*s7a - 56448000*ln2*s7b - 49658175*s8a - 
    313488000*s8b - 20160000*s8c - 36288000*s8d - 1008000*ln2*s6*sinf + 
    22176000*s7a*sinf - 76608000*s7b*sinf - 28224000*s6*sinf^2 - 
    14112000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 1156400*ln2^6*z2 + 
    132552000*s6*z2 + 14112000*li5half*sinf*z2 - 117600*ln2^5*sinf*z2 - 
    7056000*li4half*sinf^2*z2 - 294000*ln2^4*sinf^2*z2 + 
    44956800*li4half*z2^2 - 1155000*ln2^4*z2^2 + 1999200*ln2^3*sinf*z2^2 + 
    2998800*ln2^2*sinf^2*z2^2 + 823200*ln2*sinf^3*z2^2 - 
    37774800*ln2^2*z2^3 - 25149600*ln2*sinf*z2^3 - 3687600*sinf^2*z2^3 - 
    10584348*z2^4 + 86688000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    4838400*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 
    31920000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 + 882000*sinf^3*z2*z3 + 
    98389200*ln2*z2^2*z3 + 23612400*sinf*z2^2*z3 - 32886000*ln2^2*z3^2 + 
    44478000*ln2*sinf*z3^2 + 13230000*sinf^2*z3^2 + 10710000*z2*z3^2 + 
    31899000*ln2^3*z5 + 129874500*ln2^2*sinf*z5 + 34177500*ln2*sinf^2*z5 - 
    2499000*sinf^3*z5 + 158602500*ln2*z2*z5 + 214672500*sinf*z2*z5 - 
    42199500*z3*z5 - 134449875*ln2*z7 - 376023375*sinf*z7)/14112000, 
 H[1, 1, 1, -1, 0, 0, -1, 1, 1] -> 
  (2016000*li4half^2 + 4032000*li6half*ln2^2 + 2688000*li5half*ln2^3 + 
    1176000*li4half*ln2^4 + 28700*ln2^8 - 13104000*ln2^2*s6 + 42151725*s8a + 
    199584000*s8b + 24192000*s8c + 28224000*s8d - 16128000*li7half*sinf + 
    4032000*li5half*ln2^2*sinf + 2688000*li4half*ln2^3*sinf + 
    81600*ln2^7*sinf + 8352000*ln2*s6*sinf - 8352000*s7a*sinf + 
    15840000*s7b*sinf + 2016000*li4half*ln2^2*sinf^2 + 84000*ln2^6*sinf^2 - 
    2688000*li5half*sinf^3 + 22400*ln2^5*sinf^3 - 4032000*li6half*z2 - 
    26208000*li5half*ln2*z2 - 9072000*li4half*ln2^2*z2 - 277200*ln2^6*z2 - 
    81648000*s6*z2 + 4032000*li5half*sinf*z2 + 10080000*li4half*ln2*sinf*z2 - 
    16800*ln2^5*sinf*z2 - 2016000*li4half*sinf^2*z2 - 
    588000*ln2^4*sinf^2*z2 - 224000*ln2^3*sinf^3*z2 + 5745600*li4half*z2^2 + 
    1003800*ln2^4*z2^2 - 50400*ln2^3*sinf*z2^2 + 2570400*ln2^2*sinf^2*z2^2 - 
    453600*ln2*sinf^3*z2^2 + 4532400*ln2^2*z2^3 + 165600*ln2*sinf*z2^3 + 
    201600*sinf^2*z2^3 - 5268564*z2^4 - 28056000*li5half*z3 + 
    233800*ln2^5*z3 - 5544000*li4half*sinf*z3 - 231000*ln2^4*sinf*z3 - 
    2338000*ln2^3*z2*z3 + 1386000*ln2^2*sinf*z2*z3 - 
    4914000*ln2*sinf^2*z2*z3 - 24154200*ln2*z2^2*z3 - 6431400*sinf*z2^2*z3 - 
    6000750*ln2^2*z3^2 - 10440000*ln2*sinf*z3^2 + 2661750*sinf^2*z3^2 - 
    28665000*z2*z3^2 - 10416000*ln2^3*z5 - 39060000*ln2^2*sinf*z5 + 
    2268000*sinf^3*z5 - 41139000*ln2*z2*z5 - 38466000*sinf*z2*z5 + 
    65779875*z3*z5 + 84936375*sinf*z7)/4032000, 
 H[1, 1, 1, -1, 0, 0, -1, 0, 1] -> (241920*li4half^2 + 20160*li4half*ln2^4 + 
    420*ln2^8 - 241920*ln2^2*s6 + 395010*s8a + 1572480*s8b + 483840*s8c - 
    201600*s8d + 40320*ln2*s6*sinf - 40320*s7a*sinf + 241920*s7b*sinf + 
    141120*s6*sinf^2 + 80640*li6half*z2 + 241920*li5half*ln2*z2 - 
    1904*ln2^6*z2 + 302400*s6*z2 + 403200*li5half*sinf*z2 + 
    241920*li4half*ln2*sinf*z2 + 6720*ln2^5*sinf*z2 + 
    40320*li4half*sinf^2*z2 + 1680*ln2^4*sinf^2*z2 - 187488*li4half*z2^2 - 
    7980*ln2^4*z2^2 - 40992*ln2^3*sinf*z2^2 - 31248*ln2^2*sinf^2*z2^2 - 
    14112*ln2*sinf^3*z2^2 + 149184*ln2^2*z2^3 + 158256*ln2*sinf*z2^3 + 
    20904*sinf^2*z2^3 + 211968*z2^4 - 544320*li5half*z3 + 4536*ln2^5*z3 + 
    100800*li4half*sinf*z3 + 4200*ln2^4*sinf*z3 - 60480*ln2^3*z2*z3 - 
    70560*ln2^2*sinf*z2*z3 - 45360*ln2*sinf^2*z2*z3 - 5040*sinf^3*z2*z3 - 
    509040*ln2*z2^2*z3 - 145404*sinf*z2^2*z3 - 68040*ln2^2*z3^2 - 
    50400*ln2*sinf*z3^2 - 77490*sinf^2*z3^2 - 452655*z2*z3^2 - 
    273420*ln2^2*sinf*z5 + 21420*sinf^3*z5 - 2388960*ln2*z2*z5 - 
    1368360*sinf*z2*z5 + 764190*z3*z5 + 1693755*sinf*z7)/80640, 
 H[1, 1, 1, -1, 0, 0, -1, -1, 1] -> (-8064000*li4half^2 - 96768000*li8half - 
    80640000*li7half*ln2 - 40320000*li6half*ln2^2 - 13440000*li5half*ln2^3 - 
    2688000*li4half*ln2^4 - 28400*ln2^8 - 14112000*ln2^2*s6 - 
    22176000*ln2*s7a - 18144000*ln2*s7b + 17737650*s8a - 33264000*s8b + 
    32256000*s8c - 24192000*s8d - 48384000*li7half*sinf - 
    64512000*li6half*ln2*sinf - 32256000*li5half*ln2^2*sinf - 
    5376000*li4half*ln2^3*sinf - 35200*ln2^7*sinf - 30240000*ln2*s6*sinf - 
    14112000*s7a*sinf + 6048000*s7b*sinf - 32256000*li6half*sinf^2 - 
    24192000*li5half*ln2*sinf^2 - 4032000*li4half*ln2^2*sinf^2 - 
    11200*ln2^6*sinf^2 - 18144000*s6*sinf^2 - 2688000*li5half*sinf^3 + 
    22400*ln2^5*sinf^3 + 64512000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    16128000*li4half*ln2^2*z2 + 246400*ln2^6*z2 + 84672000*s6*z2 + 
    32256000*li5half*sinf*z2 + 8064000*li4half*ln2*sinf*z2 - 
    134400*ln2^5*sinf*z2 - 336000*ln2^4*sinf^2*z2 - 224000*ln2^3*sinf^3*z2 + 
    3830400*li4half*z2^2 - 260400*ln2^4*z2^2 - 336000*ln2^3*sinf*z2^2 - 
    1512000*ln2^2*sinf^2*z2^2 - 1008000*ln2*sinf^3*z2^2 - 712800*ln2^2*z2^3 + 
    6285600*ln2*sinf*z2^3 + 3290400*sinf^2*z2^3 + 4926024*z2^4 + 
    1680000*li5half*z3 - 30240000*li4half*ln2*z3 - 803600*ln2^5*z3 - 
    5040000*li4half*sinf*z3 + 1554000*ln2^4*sinf*z3 + 
    2352000*ln2^3*sinf^2*z3 + 1176000*ln2^2*sinf^3*z3 + 1820000*ln2^3*z2*z3 - 
    9324000*ln2^2*sinf*z2*z3 - 3528000*ln2*sinf^2*z2*z3 - 
    2822400*ln2*z2^2*z3 - 1537200*sinf*z2^2*z3 - 9775500*ln2^2*z3^2 + 
    12222000*ln2*sinf*z3^2 + 7654500*sinf^2*z3^2 - 45265500*z2*z3^2 + 
    27993000*ln2^3*z5 + 44919000*ln2^2*sinf*z5 + 33201000*ln2*sinf^2*z5 + 
    2625000*sinf^3*z5 - 141246000*ln2*z2*z5 - 59472000*sinf*z2*z5 + 
    78613500*z3*z5 + 34374375*ln2*z7 + 88696125*sinf*z7)/8064000, 
 H[1, 1, 1, -1, 0, -1, 1, 1, 1] -> 
  (-28224000*li4half^2 + 2257920000*li8half - 4704000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 - 2800*ln2^8 - 235872000*ln2^2*s6 + 617136975*s8a + 
    2991240000*s8b + 471744000*s8c + 8064000*s8d - 1411200000*li7half*sinf + 
    4704000*li4half*ln2^3*sinf + 476000*ln2^7*sinf + 74592000*ln2*s6*sinf - 
    74592000*s7a*sinf + 362880000*s7b*sinf + 338688000*li6half*sinf^2 + 
    14112000*li4half*ln2^2*sinf^2 + 1058400*ln2^6*sinf^2 + 
    162288000*s6*sinf^2 - 28224000*li5half*sinf^3 + 
    9408000*li4half*ln2*sinf^3 + 627200*ln2^5*sinf^3 - 338688000*li6half*z2 + 
    14112000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 1960000*ln2^6*z2 - 
    418320000*s6*z2 + 84672000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 - 5997600*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    5880000*ln2^4*sinf^2*z2 - 1176000*ln2^3*sinf^3*z2 + 
    31248000*li4half*z2^2 - 1108800*ln2^4*z2^2 - 17404800*ln2^3*sinf*z2^2 - 
    21697200*ln2^2*sinf^2*z2^2 - 9055200*ln2*sinf^3*z2^2 + 
    27946800*ln2^2*z2^3 - 92584800*ln2*sinf*z2^3 - 46292400*sinf^2*z2^3 - 
    79191324*z2^4 - 97272000*li5half*z3 + 18816000*li4half*ln2*z3 + 
    7768600*ln2^5*z3 + 24696000*li4half*sinf*z3 + 19551000*ln2^4*sinf*z3 + 
    18522000*ln2^3*sinf^2*z3 + 6174000*ln2^2*sinf^3*z3 - 
    86016000*ln2^3*z2*z3 - 117306000*ln2^2*sinf*z2*z3 - 
    55566000*ln2*sinf^2*z2*z3 - 6174000*sinf^3*z2*z3 - 
    460332600*ln2*z2^2*z3 - 247564800*sinf*z2^2*z3 - 53991000*ln2^2*z3^2 - 
    93240000*ln2*sinf*z3^2 - 12237750*sinf^2*z3^2 - 422273250*z2*z3^2 + 
    22785000*ln2^3*z5 - 423801000*ln2^2*sinf*z5 + 35868000*sinf^3*z5 - 
    1483587000*ln2*z2*z5 - 1187235000*sinf*z2*z5 + 208658625*z3*z5 + 
    3664552500*sinf*z7)/28224000, H[1, 1, 1, -1, 0, -1, 1, 0, 1] -> 
  (-16934400*li4half^2 - 451584000*li8half + 470400*li4half*ln2^4 + 
    37800*ln2^8 + 97977600*ln2^2*s6 - 192115350*s8a - 824745600*s8b - 
    195955200*s8c + 43545600*s8d + 361267200*li7half*sinf + 
    7526400*li4half*ln2^3*sinf + 241920*ln2^7*sinf - 29836800*ln2*s6*sinf + 
    29836800*s7a*sinf - 91526400*s7b*sinf - 135475200*li6half*sinf^2 + 
    11289600*li4half*ln2^2*sinf^2 + 282240*ln2^6*sinf^2 - 
    64915200*s6*sinf^2 + 30105600*li5half*sinf^3 + 
    7526400*li4half*ln2*sinf^3 + 62720*ln2^5*sinf^3 + 406425600*li6half*z2 - 
    5644800*li5half*ln2*z2 - 25401600*li4half*ln2^2*z2 - 603680*ln2^6*z2 + 
    183859200*s6*z2 - 248371200*li5half*sinf*z2 - 50803200*li4half*ln2*sinf*
     z2 - 423360*ln2^5*sinf*z2 + 11289600*li4half*sinf^2*z2 + 
    470400*ln2^4*sinf^2*z2 + 627200*ln2^3*sinf^3*z2 + 16047360*li4half*z2^2 + 
    2162160*ln2^4*z2^2 + 1223040*ln2^3*sinf*z2^2 + 
    6703200*ln2^2*sinf^2*z2^2 + 5597760*ln2*sinf^3*z2^2 - 
    50500800*ln2^2*z2^3 - 18819360*ln2*sinf*z2^3 + 16259040*sinf^2*z2^3 - 
    66240504*z2^4 + 142464000*li5half*z3 + 15052800*li4half*ln2*z3 - 
    560000*ln2^5*z3 + 5644800*li4half*sinf*z3 + 235200*ln2^4*sinf*z3 + 
    28218400*ln2^3*z2*z3 + 36691200*ln2^2*sinf*z2*z3 + 
    15876000*ln2*sinf^2*z2*z3 + 940800*sinf^3*z2*z3 + 171875760*ln2*z2^2*z3 + 
    38485440*sinf*z2^2*z3 + 27556200*ln2^2*z3^2 + 37296000*ln2*sinf*z3^2 + 
    12348000*sinf^2*z3^2 + 127327200*z2*z3^2 + 117570600*ln2^2*sinf*z5 - 
    29811600*sinf^3*z5 + 615207600*ln2*z2*z5 + 545895000*sinf*z2*z5 - 
    197004150*z3*z5 - 928980675*sinf*z7)/11289600, 
 H[1, 1, 1, -1, 0, -1, 1, -1, 1] -> 
  (-115315200*li8half + 8870400*li7half*ln2 + 2419200*li6half*ln2^2 - 
    134400*li5half*ln2^3 + 100800*li4half*ln2^4 + 4060*ln2^8 + 
    15235200*ln2^2*s6 + 1296000*ln2*s7a - 2534400*ln2*s7b - 39568725*s8a - 
    242827200*s8b - 28224000*s8c - 20361600*s8d + 87897600*li7half*sinf + 
    4838400*li6half*ln2*sinf - 806400*li5half*ln2^2*sinf + 
    134400*li4half*ln2^3*sinf + 1600*ln2^7*sinf - 14313600*ln2*s6*sinf + 
    19152000*s7a*sinf - 25401600*s7b*sinf - 16934400*li6half*sinf^2 - 
    806400*li5half*ln2*sinf^2 - 16800*ln2^6*sinf^2 - 8064000*s6*sinf^2 + 
    1075200*li5half*sinf^3 - 8960*ln2^5*sinf^3 + 14515200*li6half*z2 + 
    1209600*li5half*ln2*z2 + 604800*li4half*ln2^2*z2 + 15120*ln2^6*z2 + 
    70660800*s6*z2 - 2419200*li5half*sinf*z2 - 403200*li4half*ln2*sinf*z2 - 
    33600*ln2^5*sinf*z2 - 16800*ln2^4*sinf^2*z2 - 112000*ln2^3*sinf^3*z2 - 
    3971520*li4half*z2^2 + 619080*ln2^4*z2^2 + 2533440*ln2^3*sinf*z2^2 + 
    1975680*ln2^2*sinf^2*z2^2 + 309120*ln2*sinf^3*z2^2 - 2076480*ln2^2*z2^3 + 
    5541120*ln2*sinf*z2^3 + 2171520*sinf^2*z2^3 + 5237712*z2^4 + 
    41664000*li5half*z3 - 504000*li4half*ln2*z3 - 474040*ln2^5*z3 + 
    201600*li4half*sinf*z3 - 256200*ln2^4*sinf*z3 - 176400*ln2^3*sinf^2*z3 + 
    4429600*ln2^3*z2*z3 + 478800*ln2^2*sinf*z2*z3 + 529200*ln2*sinf^2*z2*z3 + 
    33111480*ln2*z2^2*z3 + 7456680*sinf*z2^2*z3 + 4086450*ln2^2*z3^2 + 
    20934900*ln2*sinf*z3^2 + 2891700*sinf^2*z3^2 + 28838250*z2*z3^2 + 
    2929500*ln2^3*z5 + 42770700*ln2^2*sinf*z5 - 390600*ln2*sinf^2*z5 - 
    1024800*sinf^3*z5 + 94970700*ln2*z2*z5 + 79474500*sinf*z2*z5 - 
    33891375*z3*z5 - 29737350*ln2*z7 - 209397825*sinf*z7)/806400, 
 H[1, 1, 1, -1, 0, -1, 0, 1, 1] -> (14112000*li4half^2 + 112896000*li8half - 
    3528000*li4half*ln2^4 - 168700*ln2^8 + 131040000*ln2^2*s6 - 
    201006225*s8a + 27720000*s8b - 262080000*s8c + 290304000*s8d - 
    112896000*li7half*sinf - 18816000*li4half*ln2^3*sinf - 
    761600*ln2^7*sinf + 247968000*ln2*s6*sinf - 247968000*s7a*sinf - 
    219744000*s7b*sinf + 56448000*li6half*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 1097600*ln2^6*sinf^2 + 
    14112000*s6*sinf^2 - 18816000*li5half*sinf^3 - 
    18816000*li4half*ln2*sinf^3 - 627200*ln2^5*sinf^3 + 56448000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 35280000*li4half*ln2^2*z2 + 2881200*ln2^6*z2 - 
    580608000*s6*z2 - 112896000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 8702400*ln2^5*sinf*z2 + 84672000*li4half*sinf^2*z2 + 
    9408000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 + 
    127209600*li4half*z2^2 - 7841400*ln2^4*z2^2 - 30223200*ln2^3*sinf*z2^2 - 
    20638800*ln2^2*sinf^2*z2^2 + 352800*ln2*sinf^3*z2^2 - 
    52063200*ln2^2*z2^3 - 103370400*ln2*sinf*z2^3 - 25880400*sinf^2*z2^3 - 
    121522536*z2^4 - 261912000*li5half*z3 - 37632000*li4half*ln2*z3 - 
    2678200*ln2^5*z3 - 306936000*li4half*sinf*z3 - 25137000*ln2^4*sinf*z3 - 
    16464000*ln2^3*sinf^2*z3 - 8232000*ln2^2*sinf^3*z3 + 
    49322000*ln2^3*z2*z3 + 212562000*ln2^2*sinf*z2*z3 + 
    86436000*ln2*sinf^2*z2*z3 + 7056000*sinf^3*z2*z3 + 
    239387400*ln2*z2^2*z3 + 291261600*sinf*z2^2*z3 + 20391000*ln2^2*z3^2 - 
    309960000*ln2*sinf*z3^2 - 56558250*sinf^2*z3^2 + 245621250*z2*z3^2 - 
    27342000*ln2^2*sinf*z5 + 4851000*sinf^3*z5 + 922950000*ln2*z2*z5 + 
    845271000*sinf*z2*z5 - 266592375*z3*z5 - 1784325375*sinf*z7)/28224000, 
 H[1, 1, 1, -1, 0, -1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    38304000*ln2^2*s6 + 36979425*s8a - 46368000*s8b + 76608000*s8c - 
    97776000*s8d - 83664000*ln2*s6*sinf + 83664000*s7a*sinf + 
    62496000*s7b*sinf - 10584000*s6*sinf^2 - 56448000*li6half*z2 - 
    7056000*li4half*ln2^2*z2 - 372400*ln2^6*z2 + 167328000*s6*z2 + 
    56448000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 1176000*ln2^4*sinf^2*z2 - 
    37195200*li4half*z2^2 + 1125600*ln2^4*z2^2 + 7173600*ln2^3*sinf*z2^2 + 
    10760400*ln2^2*sinf^2*z2^2 + 2469600*ln2*sinf^3*z2^2 + 
    4788000*ln2^2*z2^3 + 14212800*ln2*sinf*z2^3 + 1957200*sinf^2*z2^3 + 
    44490948*z2^4 + 43848000*li5half*z3 - 365400*ln2^5*z3 + 
    102312000*li4half*sinf*z3 + 4263000*ln2^4*sinf*z3 - 3402000*ln2^3*z2*z3 - 
    46746000*ln2^2*sinf*z2*z3 - 21168000*ln2*sinf^2*z2*z3 - 
    2352000*sinf^3*z2*z3 - 50702400*ln2*z2^2*z3 - 72563400*sinf*z2^2*z3 - 
    10773000*ln2^2*z3^2 + 104580000*ln2*sinf*z3^2 + 21498750*sinf^2*z3^2 - 
    82887000*z2*z3^2 + 20506500*ln2^2*sinf*z5 + 3013500*sinf^3*z5 - 
    229824000*ln2*z2*z5 - 305739000*sinf*z2*z5 + 86391375*z3*z5 + 
    597460500*sinf*z7)/14112000, H[1, 1, 1, -1, 0, -1, 0, -1, 1] -> 
  (3225600*li7half*ln2 + 1612800*li6half*ln2^2 + 537600*li5half*ln2^3 + 
    134400*li4half*ln2^4 + 2720*ln2^8 + 1612800*ln2^2*s6 + 2822400*ln2*s7a + 
    2016000*ln2*s7b - 5758200*s8a - 17740800*s8b - 8064000*s8c + 
    4838400*s8d + 6451200*li7half*sinf + 3225600*li6half*ln2*sinf + 
    1612800*li5half*ln2^2*sinf + 537600*li4half*ln2^3*sinf + 
    12160*ln2^7*sinf + 806400*s7a*sinf - 4032000*s7b*sinf + 
    1612800*li5half*ln2*sinf^2 + 806400*li4half*ln2^2*sinf^2 + 
    20160*ln2^6*sinf^2 - 1612800*s6*sinf^2 + 1075200*li5half*sinf^3 + 
    537600*li4half*ln2*sinf^3 + 13440*ln2^5*sinf^3 - 3628800*li5half*ln2*z2 - 
    1814400*li4half*ln2^2*z2 - 54320*ln2^6*z2 - 6451200*s6*z2 - 
    7257600*li5half*sinf*z2 - 3628800*li4half*ln2*sinf*z2 - 
    131040*ln2^5*sinf*z2 - 67200*ln2^4*sinf^2*z2 - 44800*ln2^3*sinf^3*z2 + 
    463680*li4half*z2^2 + 225120*ln2^4*z2^2 + 520800*ln2^3*sinf*z2^2 + 
    327600*ln2^2*sinf^2*z2^2 + 218400*ln2*sinf^3*z2^2 - 734400*ln2^2*z2^3 - 
    1761120*ln2*sinf*z2^3 - 300240*sinf^2*z2^3 - 3576384*z2^4 - 
    1478400*li5half*z3 + 4603200*li4half*ln2*z3 + 204120*ln2^5*z3 + 
    1008000*li4half*sinf*z3 + 42000*ln2^4*sinf*z3 - 1097600*ln2^3*z2*z3 + 
    277200*ln2^2*sinf*z2*z3 + 529200*ln2*sinf^2*z2*z3 - 16800*sinf^3*z2*z3 + 
    1558200*ln2*z2^2*z3 + 869400*sinf*z2^2*z3 + 5238450*ln2^2*z3^2 + 
    2160900*ln2*sinf*z3^2 + 504000*sinf^2*z3^2 + 5059950*z2*z3^2 + 
    911400*ln2^3*z5 + 5077800*ln2^2*sinf*z5 + 390600*ln2*sinf^2*z5 - 
    1050000*sinf^3*z5 + 19467000*ln2*z2*z5 + 17829000*sinf*z2*z5 + 
    5091450*z3*z5 + 22678425*ln2*z7 - 25316550*sinf*z7)/806400, 
 H[1, 1, 1, -1, 0, -1, -1, 1, 1] -> 
  (225792000*li4half^2 + 4233600000*li8half + 84672000*li6half*ln2^2 + 
    47040000*li5half*ln2^3 + 2352000*li4half*ln2^4 - 463400*ln2^8 - 
    193536000*ln2^2*s6 + 979804350*s8a + 7383600000*s8b + 556416000*s8c + 
    883008000*s8d - 2822400000*li7half*sinf + 56448000*li5half*ln2^2*sinf - 
    56448000*li4half*ln2^3*sinf - 2262400*ln2^7*sinf + 
    788256000*ln2*s6*sinf - 788256000*s7a*sinf + 453600000*s7b*sinf + 
    592704000*li6half*sinf^2 - 56448000*li4half*ln2^2*sinf^2 - 
    1528800*ln2^6*sinf^2 + 239904000*s6*sinf^2 - 37632000*li5half*sinf^3 - 
    9408000*li4half*ln2*sinf^3 - 78400*ln2^5*sinf^3 - 677376000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 6272000*ln2^6*z2 - 
    2810304000*s6*z2 + 56448000*li5half*sinf*z2 + 225792000*li4half*ln2*sinf*
     z2 + 23049600*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    14700000*ln2^4*sinf^2*z2 + 6272000*ln2^3*sinf^3*z2 + 
    152611200*li4half*z2^2 - 39858000*ln2^4*z2^2 - 
    115248000*ln2^3*sinf*z2^2 - 57506400*ln2^2*sinf^2*z2^2 - 
    4704000*ln2*sinf^3*z2^2 - 17841600*ln2^2*z2^3 - 312832800*ln2*sinf*z2^3 - 
    83210400*sinf^2*z2^3 - 266153904*z2^4 - 1650768000*li5half*z3 - 
    18816000*li4half*ln2*z3 + 624400*ln2^5*z3 - 352800000*li4half*sinf*z3 - 
    51744000*ln2^4*sinf*z3 - 37044000*ln2^3*sinf^2*z3 - 
    12348000*ln2^2*sinf^3*z3 + 4732000*ln2^3*z2*z3 + 
    310464000*ln2^2*sinf*z2*z3 + 74088000*ln2*sinf^2*z2*z3 + 
    12348000*sinf^3*z2*z3 - 717553200*ln2*z2^2*z3 + 127839600*sinf*z2^2*z3 - 
    171738000*ln2^2*z3^2 - 985320000*ln2*sinf*z3^2 - 150160500*sinf^2*z3^2 - 
    472657500*z2*z3^2 - 164052000*ln2^3*z5 - 1380771000*ln2^2*sinf*z5 + 
    10290000*sinf^3*z5 - 1313802000*ln2*z2*z5 - 1224405000*sinf*z2*z5 + 
    428331750*z3*z5 + 3793064625*sinf*z7)/56448000, 
 H[1, 1, 1, -1, 0, -1, -1, 0, 1] -> 
  (-19756800*li4half^2 - 1646400*li4half*ln2^4 - 34300*ln2^8 - 
    22780800*ln2^2*s6 + 29504475*s8a + 67939200*s8b + 45561600*s8c - 
    35683200*s8d - 30038400*ln2*s6*sinf + 30038400*s7a*sinf + 
    39916800*s7b*sinf + 4939200*s6*sinf^2 + 25401600*li6half*z2 + 
    19756800*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 - 11760*ln2^6*z2 + 
    82656000*s6*z2 + 5644800*li5half*sinf*z2 - 22579200*li4half*ln2*sinf*z2 - 
    987840*ln2^5*sinf*z2 - 12700800*li4half*sinf^2*z2 - 
    529200*ln2^4*sinf^2*z2 + 4858560*li4half*z2^2 + 1819440*ln2^4*z2^2 + 
    5997600*ln2^3*sinf*z2^2 + 2998800*ln2^2*sinf^2*z2^2 - 
    117600*ln2*sinf^3*z2^2 + 3694320*ln2^2*z2^3 + 15130080*ln2*sinf*z2^3 + 
    3714480*sinf^2*z2^3 + 15691464*z2^4 + 52315200*li5half*z3 - 
    435960*ln2^5*z3 + 43747200*li4half*sinf*z3 + 1822800*ln2^4*sinf*z3 - 
    8164800*ln2^3*z2*z3 - 37396800*ln2^2*sinf*z2*z3 - 
    15346800*ln2*sinf^2*z2*z3 - 1293600*sinf^3*z2*z3 - 14440440*ln2*z2^2*z3 - 
    34284600*sinf*z2^2*z3 - 6407100*ln2^2*z3^2 + 37548000*ln2*sinf*z3^2 + 
    4917150*sinf^2*z3^2 - 58830450*z2*z3^2 - 9569700*ln2^2*sinf*z5 + 
    2601900*sinf^3*z5 - 203672700*ln2*z2*z5 - 158489100*sinf*z2*z5 + 
    1039500*z3*z5 + 318583125*sinf*z7)/5644800, 
 H[1, 1, 1, -1, 0, -1, -1, -1, 1] -> 
  (-42336000*li4half^2 - 112896000*li8half - 141120000*li7half*ln2 - 
    70560000*li6half*ln2^2 - 4704000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    333900*ln2^8 - 27720000*ln2^2*s6 - 12096000*ln2*s7a + 86688000*ln2*s7b - 
    110826450*s8a - 545832000*s8b - 96768000*s8c - 2016000*s8d - 
    84672000*li7half*sinf - 56448000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    1271200*ln2^7*sinf - 95760000*ln2*s6*sinf + 4032000*s7a*sinf + 
    18144000*s7b*sinf + 14112000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 + 42336000*li4half*ln2^2*sinf^2 + 
    1313200*ln2^6*sinf^2 - 38808000*s6*sinf^2 + 18816000*li5half*sinf^3 + 
    14112000*li4half*ln2*sinf^3 + 431200*ln2^5*sinf^3 + 14112000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 77616000*li4half*ln2^2*z2 - 4586400*ln2^6*z2 + 
    138096000*s6*z2 - 112896000*li5half*sinf*z2 - 127008000*li4half*ln2*sinf*
     z2 - 10584000*ln2^5*sinf*z2 - 21168000*li4half*sinf^2*z2 - 
    7056000*ln2^4*sinf^2*z2 - 1960000*ln2^3*sinf^3*z2 + 
    16531200*li4half*z2^2 + 15859200*ln2^4*z2^2 + 24225600*ln2^3*sinf*z2^2 + 
    8114400*ln2^2*sinf^2*z2^2 + 1881600*ln2*sinf^3*z2^2 - 
    13608000*ln2^2*z2^3 - 11440800*ln2*sinf*z2^3 - 3628800*sinf^2*z2^3 - 
    23760432*z2^4 + 133392000*li5half*z3 + 109368000*li4half*ln2*z3 + 
    8796200*ln2^5*z3 + 84672000*li4half*sinf*z3 + 18963000*ln2^4*sinf*z3 + 
    14406000*ln2^3*sinf^2*z3 + 4116000*ln2^2*sinf^3*z3 - 
    61502000*ln2^3*z2*z3 - 76734000*ln2^2*sinf*z2*z3 - 
    12348000*ln2*sinf^2*z2*z3 + 22738800*ln2*z2^2*z3 - 
    40672800*sinf*z2^2*z3 + 83784750*ln2^2*z3^2 + 90373500*ln2*sinf*z3^2 + 
    16096500*sinf^2*z3^2 + 27924750*z2*z3^2 - 6835500*ln2^3*z5 + 
    95697000*ln2^2*sinf*z5 + 20506500*ln2*sinf^2*z5 - 18816000*sinf^3*z5 - 
    97303500*ln2*z2*z5 - 17797500*sinf*z2*z5 + 30849000*z3*z5 + 
    948283875*ln2*z7 + 321977250*sinf*z7)/28224000, 
 H[1, 1, 1, -1, -1, 1, 1, 1, 1] -> (-161280*li4half^2 + 322560*li7half*sinf + 
    53760*li4half*ln2^3*sinf + 1216*ln2^7*sinf - 230400*ln2*s6*sinf + 
    230400*s7a*sinf + 311040*s7b*sinf - 161280*li6half*sinf^2 + 
    80640*li4half*ln2^2*sinf^2 + 2016*ln2^6*sinf^2 + 40320*s6*sinf^2 + 
    53760*li5half*sinf^3 + 53760*li4half*ln2*sinf^3 + 1344*ln2^5*sinf^3 + 
    161280*li6half*z2 - 80640*li4half*ln2^2*z2 - 2016*ln2^6*z2 - 
    40320*s6*z2 - 161280*li5half*sinf*z2 - 322560*li4half*ln2*sinf*z2 - 
    16128*ln2^5*sinf*z2 - 80640*li4half*sinf^2*z2 - 16800*ln2^4*sinf^2*z2 - 
    8960*ln2^3*sinf^3*z2 + 80640*li4half*z2^2 + 16800*ln2^4*z2^2 + 
    41664*ln2^3*sinf*z2^2 + 2016*ln2^2*sinf^2*z2^2 - 2688*ln2*sinf^3*z2^2 - 
    2016*ln2^2*z2^3 + 108576*ln2*sinf*z2^3 + 23040*sinf^2*z2^3 - 23040*z2^4 + 
    107520*li5half*z3 + 107520*li4half*ln2*z3 + 2688*ln2^5*z3 + 
    282240*li4half*sinf*z3 + 38640*ln2^4*sinf*z3 + 53760*ln2^3*sinf^2*z3 + 
    26880*ln2^2*sinf^3*z3 - 71680*ln2^3*z2*z3 - 312480*ln2^2*sinf*z2*z3 - 
    161280*ln2*sinf^2*z2*z3 - 26880*sinf^3*z2*z3 + 155904*ln2*z2^2*z3 - 
    356544*sinf*z2^2*z3 + 53760*ln2^2*z3^2 + 288000*ln2*sinf*z3^2 + 
    126000*sinf^2*z3^2 - 179760*z2*z3^2 - 78120*ln2^2*sinf*z5 + 
    1680*sinf^3*z5 - 921240*sinf*z2*z5 + 3360*z3*z5 + 2439855*sinf*z7)/
   322560, H[1, 1, 1, -1, -1, 1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 1919232000*li8half + 50400*ln2^8 + 
    260064000*ln2^2*s6 - 733783050*s8a - 4909968000*s8b - 520128000*s8c - 
    495936000*s8d + 959616000*li7half*sinf + 18816000*li4half*ln2^3*sinf + 
    593600*ln2^7*sinf - 298368000*ln2*s6*sinf + 298368000*s7a*sinf - 
    308448000*s7b*sinf - 225792000*li6half*sinf^2 + 
    28224000*li4half*ln2^2*sinf^2 + 862400*ln2^6*sinf^2 - 
    155232000*s6*sinf^2 + 37632000*li5half*sinf^3 + 
    18816000*li4half*ln2*sinf^3 + 470400*ln2^5*sinf^3 + 
    225792000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 2273600*ln2^6*z2 + 
    1655136000*s6*z2 - 112896000*li5half*sinf*z2 - 
    112896000*li4half*ln2*sinf*z2 - 8702400*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 7056000*ln2^4*sinf^2*z2 - 
    2352000*ln2^3*sinf^3*z2 - 70963200*li4half*z2^2 + 28795200*ln2^4*z2^2 + 
    70795200*ln2^3*sinf*z2^2 + 41630400*ln2^2*sinf^2*z2^2 + 
    8232000*ln2*sinf^3*z2^2 - 71164800*ln2^2*z2^3 + 57808800*ln2*sinf*z2^3 + 
    33868800*sinf^2*z2^3 + 87550992*z2^4 + 1067136000*li5half*z3 + 
    37632000*li4half*ln2*z3 - 7089600*ln2^5*z3 + 98784000*li4half*sinf*z3 + 
    4998000*ln2^4*sinf*z3 + 1176000*ln2^3*sinf^2*z3 + 
    588000*ln2^2*sinf^3*z3 + 53256000*ln2^3*z2*z3 - 
    38808000*ln2^2*sinf*z2*z3 + 3528000*ln2*sinf^2*z2*z3 + 
    588000*sinf^3*z2*z3 + 605262000*ln2*z2^2*z3 + 29584800*sinf*z2^2*z3 + 
    77847000*ln2^2*z3^2 + 380016000*ln2*sinf*z3^2 + 55566000*sinf^2*z3^2 + 
    507696000*z2*z3^2 + 587853000*ln2^2*sinf*z5 - 40719000*sinf^3*z5 + 
    1560384000*ln2*z2*z5 + 1072764000*sinf*z2*z5 - 738512250*z3*z5 - 
    2371012875*sinf*z7)/56448000, H[1, 1, 1, -1, -1, 1, 1, -1, 1] -> 
  (-11289600*li8half + 9520*ln2^8 - 5443200*ln2^2*s6 + 10758825*s8a - 
    907200*s8b + 10886400*s8c - 8064000*s8d + 33600*ln2^7*sinf + 
    39200*ln2^6*sinf^2 + 15680*ln2^5*sinf^3 - 148960*ln2^6*z2 + 
    14716800*s6*z2 - 282240*ln2^5*sinf*z2 - 117600*ln2^4*sinf^2*z2 - 
    1612800*li4half*z2^2 + 403200*ln2^4*z2^2 + 893760*ln2^3*sinf*z2^2 + 
    635040*ln2^2*sinf^2*z2^2 + 94080*ln2*sinf^3*z2^2 + 1038240*ln2^2*z2^3 + 
    60480*ln2*sinf*z2^3 + 171360*sinf^2*z2^3 + 1262592*z2^4 + 
    16128000*li5half*z3 + 226240*ln2^5*z3 + 294000*ln2^4*sinf*z3 - 
    235200*ln2^3*sinf^2*z3 - 117600*ln2^2*sinf^3*z3 - 1831200*ln2^3*z2*z3 - 
    1764000*ln2^2*sinf*z2*z3 + 352800*ln2*sinf^2*z2*z3 - 
    13548360*ln2*z2^2*z3 - 1340640*sinf*z2^2*z3 + 350700*ln2^2*z3^2 + 
    4233600*ln2*sinf*z3^2 - 44100*sinf^2*z3^2 - 9752400*z2*z3^2 - 
    940800*ln2^3*z5 - 2822400*ln2^2*sinf*z5 - 2822400*ln2*sinf^2*z5 - 
    88200*sinf^3*z5 - 27014400*ln2*z2*z5 + 3087000*sinf*z2*z5 + 
    11981025*z3*z5 + 33868800*ln2*z7 - 2623950*sinf*z7)/11289600, 
 H[1, 1, 1, -1, -1, 1, 0, 1, 1] -> (112896000*li4half^2 - 790272000*li8half - 
    215600*ln2^8 + 46368000*ln2^2*s6 - 160709850*s8a - 363888000*s8b - 
    92736000*s8c + 120960000*s8d + 282240000*li7half*sinf - 
    37632000*li4half*ln2^3*sinf - 1624000*ln2^7*sinf + 
    143136000*ln2*s6*sinf - 143136000*s7a*sinf - 199584000*s7b*sinf + 
    28224000*li6half*sinf^2 - 56448000*li4half*ln2^2*sinf^2 - 
    2312800*ln2^6*sinf^2 - 7056000*s6*sinf^2 - 37632000*li5half*sinf^3 - 
    37632000*li4half*ln2*sinf^3 - 1254400*ln2^5*sinf^3 + 
    28224000*li6half*z2 + 56448000*li4half*ln2^2*z2 + 4508000*ln2^6*z2 - 
    263088000*s6*z2 + 112896000*li5half*sinf*z2 + 225792000*li4half*ln2*sinf*
     z2 + 16228800*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    12348000*ln2^4*sinf^2*z2 + 4704000*ln2^3*sinf^3*z2 - 
    32256000*li4half*z2^2 - 18513600*ln2^4*z2^2 - 35280000*ln2^3*sinf*z2^2 - 
    5997600*ln2^2*sinf^2*z2^2 - 705600*ln2*sinf^3*z2^2 + 
    45712800*ln2^2*z2^3 - 2368800*ln2*sinf*z2^3 - 8971200*sinf^2*z2^3 + 
    58554144*z2^4 - 317184000*li5half*z3 - 75264000*li4half*ln2*z3 - 
    5902400*ln2^5*z3 - 197568000*li4half*sinf*z3 - 28518000*ln2^4*sinf*z3 - 
    27048000*ln2^3*sinf^2*z3 - 13524000*ln2^2*sinf^3*z3 + 
    50400000*ln2^3*z2*z3 + 179928000*ln2^2*sinf*z2*z3 + 
    77616000*ln2*sinf^2*z2*z3 + 13524000*sinf^3*z2*z3 + 
    92005200*ln2*z2^2*z3 + 272412000*sinf*z2^2*z3 - 21063000*ln2^2*z3^2 - 
    193032000*ln2*sinf*z3^2 - 66150000*sinf^2*z3^2 + 108507000*z2*z3^2 + 
    54684000*ln2^2*sinf*z5 + 12495000*sinf^3*z5 + 278208000*ln2*z2*z5 + 
    524979000*sinf*z2*z5 + 132861750*z3*z5 - 1991248875*sinf*z7)/56448000, 
 H[1, 1, 1, -1, -1, 1, 0, 0, 1] -> (56448000*li4half^2 + 1241856000*li8half - 
    67200*ln2^8 - 154224000*ln2^2*s6 + 331580025*s8a + 2126376000*s8b + 
    308448000*s8c + 58464000*s8d - 790272000*li7half*sinf - 
    18816000*li4half*ln2^3*sinf - 627200*ln2^7*sinf + 86688000*ln2*s6*sinf - 
    86688000*s7a*sinf + 308448000*s7b*sinf + 225792000*li6half*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 862400*ln2^6*sinf^2 + 
    155232000*s6*sinf^2 - 37632000*li5half*sinf^3 - 
    18816000*li4half*ln2*sinf^3 - 470400*ln2^5*sinf^3 - 
    733824000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 470400*ln2^6*z2 - 
    751968000*s6*z2 + 338688000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*
     z2 + 3292800*ln2^5*sinf*z2 - 28224000*li4half*sinf^2*z2 + 
    1176000*ln2^4*sinf^2*z2 + 1568000*ln2^3*sinf^3*z2 - 
    5241600*li4half*z2^2 - 4687200*ln2^4*z2^2 - 25872000*ln2^3*sinf*z2^2 - 
    16934400*ln2^2*sinf^2*z2^2 - 7056000*ln2*sinf^3*z2^2 + 
    66880800*ln2^2*z2^3 + 4788000*ln2*sinf*z2^3 - 24696000*sinf^2*z2^3 + 
    75941064*z2^4 - 417984000*li5half*z3 - 37632000*li4half*ln2*z3 + 
    504000*ln2^5*z3 + 14112000*li4half*sinf*z3 - 4704000*ln2^4*sinf*z3 - 
    7056000*ln2^3*sinf^2*z3 - 3528000*ln2^2*sinf^3*z3 - 
    30716000*ln2^3*z2*z3 - 40572000*ln2^2*sinf*z2*z3 - 
    58212000*ln2*sinf^2*z2*z3 - 7644000*sinf^3*z2*z3 - 
    265721400*ln2*z2^2*z3 - 95558400*sinf*z2^2*z3 - 71599500*ln2^2*z3^2 - 
    150696000*ln2*sinf*z3^2 - 20506500*sinf^2*z3^2 - 167244000*z2*z3^2 - 
    382788000*ln2^2*sinf*z5 + 55272000*sinf^3*z5 - 925344000*ln2*z2*z5 - 
    1441440000*sinf*z2*z5 + 136712625*z3*z5 + 2726128125*sinf*z7)/56448000, 
 H[1, 1, 1, -1, -1, 1, 0, -1, 1] -> 
  (112896000*li4half^2 - 1411200000*li8half + 56448000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 32200*ln2^8 - 
    54432000*ln2^2*s6 + 10080000*ln2*s7a - 131040000*ln2*s7b - 
    166781475*s8a - 1490328000*s8b + 74592000*s8c - 314496000*s8d + 
    677376000*li7half*sinf + 56448000*li6half*ln2*sinf - 
    84672000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf - 
    918400*ln2^7*sinf - 116928000*ln2*s6*sinf + 102816000*s7a*sinf - 
    122976000*s7b*sinf - 84672000*li5half*ln2*sinf^2 - 
    56448000*li4half*ln2^2*sinf^2 - 1646400*ln2^6*sinf^2 - 
    65856000*li5half*sinf^3 - 37632000*li4half*ln2*sinf^3 - 
    1019200*ln2^5*sinf^3 + 169344000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 748944000*s6*z2 + 
    282240000*li5half*sinf*z2 + 225792000*li4half*ln2*sinf*z2 + 
    9643200*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    7644000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 - 
    119347200*li4half*z2^2 + 495600*ln2^4*z2^2 - 20932800*ln2^3*sinf*z2^2 - 
    26812800*ln2^2*sinf^2*z2^2 - 11289600*ln2*sinf^3*z2^2 + 
    73886400*ln2^2*z2^3 + 66276000*ln2*sinf*z2^3 - 22024800*sinf^2*z2^3 + 
    237608064*z2^4 + 349104000*li5half*z3 - 75264000*li4half*ln2*z3 - 
    7221200*ln2^5*z3 - 197568000*li4half*sinf*z3 - 12642000*ln2^4*sinf*z3 - 
    5880000*ln2^3*sinf^2*z3 - 2940000*ln2^2*sinf^3*z3 + 
    51632000*ln2^3*z2*z3 + 61740000*ln2^2*sinf*z2*z3 + 
    8820000*ln2*sinf^2*z2*z3 + 588000*sinf^3*z2*z3 + 169482600*ln2*z2^2*z3 + 
    119674800*sinf*z2^2*z3 - 54264000*ln2^2*z3^2 + 27531000*ln2*sinf*z3^2 - 
    2205000*sinf^2*z3^2 + 44016000*z2*z3^2 + 191394000*ln2^3*z5 + 
    382788000*ln2^2*sinf*z5 + 164052000*ln2*sinf^2*z5 + 64974000*sinf^3*z5 - 
    162540000*ln2*z2*z5 - 3465000*sinf*z2*z5 - 249335625*z3*z5 - 
    880999875*ln2*z7 - 1106807625*sinf*z7)/56448000, 
 H[1, 1, 1, -1, -1, 1, -1, 1, 1] -> 
  (-73382400*li8half + 3080*ln2^8 + 28425600*ln2^2*s6 - 74519550*s8a - 
    321955200*s8b - 56851200*s8c - 9475200*s8d + 50803200*li7half*sinf + 
    6720*ln2^7*sinf - 7257600*ln2*s6*sinf + 7257600*s7a*sinf - 
    43545600*s7b*sinf - 16934400*li6half*sinf^2 - 3920*ln2^6*sinf^2 - 
    16934400*s6*sinf^2 + 2822400*li5half*sinf^3 - 15680*ln2^5*sinf^3 + 
    16934400*li6half*z2 - 3920*ln2^6*z2 + 69048000*s6*z2 - 
    8467200*li5half*sinf*z2 + 141120*ln2^5*sinf*z2 + 294000*ln2^4*sinf^2*z2 + 
    235200*ln2^3*sinf^3*z2 - 1895040*li4half*z2^2 + 885360*ln2^4*z2^2 + 
    2987040*ln2^3*sinf*z2^2 + 3563280*ln2^2*sinf^2*z2^2 + 
    1128960*ln2*sinf^3*z2^2 - 9340800*ln2^2*z2^3 - 3155040*ln2*sinf*z2^3 + 
    2662800*sinf^2*z2^3 + 246276*z2^4 + 24595200*li5half*z3 - 
    518560*ln2^5*z3 - 1705200*ln2^4*sinf*z3 - 2587200*ln2^3*sinf^2*z3 - 
    1293600*ln2^2*sinf^3*z3 + 8047200*ln2^3*z2*z3 + 
    14464800*ln2^2*sinf*z2*z3 + 8114400*ln2*sinf^2*z2*z3 + 
    1411200*sinf^3*z2*z3 + 55835640*ln2*z2^2*z3 + 27407520*sinf*z2^2*z3 + 
    8935500*ln2^2*z3^2 + 10483200*ln2*sinf*z3^2 - 1014300*sinf^2*z3^2 + 
    53310600*z2*z3^2 + 940800*ln2^3*z5 + 50626800*ln2^2*sinf*z5 - 
    5512500*sinf^3*z5 + 167731200*ln2*z2*z5 + 144629100*sinf*z2*z5 - 
    77442750*z3*z5 - 336629475*sinf*z7)/5644800, 
 H[1, 1, 1, -1, -1, 1, -1, 0, 1] -> 
  (84672000*li4half^2 + 1975680000*li8half - 98000*ln2^8 - 
    376992000*ln2^2*s6 + 974093400*s8a + 5499648000*s8b + 753984000*s8c + 
    360864000*s8d - 1016064000*li7half*sinf - 28224000*li4half*ln2^3*sinf - 
    974400*ln2^7*sinf + 163296000*ln2*s6*sinf - 163296000*s7a*sinf + 
    542304000*s7b*sinf + 254016000*li6half*sinf^2 - 
    42336000*li4half*ln2^2*sinf^2 - 1411200*ln2^6*sinf^2 + 
    204624000*s6*sinf^2 - 47040000*li5half*sinf^3 - 
    28224000*li4half*ln2*sinf^3 - 784000*ln2^5*sinf^3 - 
    423360000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 3136000*ln2^6*z2 - 
    1653120000*s6*z2 + 310464000*li5half*sinf*z2 + 
    169344000*li4half*ln2*sinf*z2 + 11524800*ln2^5*sinf*z2 - 
    42336000*li4half*sinf^2*z2 + 7056000*ln2^4*sinf^2*z2 + 
    3920000*ln2^3*sinf^3*z2 + 46771200*li4half*z2^2 - 30979200*ln2^4*z2^2 - 
    68443200*ln2^3*sinf*z2^2 - 23990400*ln2^2*sinf^2*z2^2 - 
    8232000*ln2*sinf^3*z2^2 + 105688800*ln2^2*z2^3 + 12247200*ln2*sinf*z2^3 - 
    19303200*sinf^2*z2^3 - 32445576*z2^4 - 985152000*li5half*z3 - 
    56448000*li4half*ln2*z3 + 3976000*ln2^5*z3 + 21168000*li4half*sinf*z3 - 
    6174000*ln2^4*sinf*z3 - 9408000*ln2^3*sinf^2*z3 - 
    4704000*ln2^2*sinf^3*z3 - 58184000*ln2^3*z2*z3 - 
    65268000*ln2^2*sinf*z2*z3 - 102312000*ln2*sinf^2*z2*z3 - 
    12936000*sinf^3*z2*z3 - 737662800*ln2*z2^2*z3 - 205833600*sinf*z2^2*z3 - 
    143661000*ln2^2*z3^2 - 260568000*ln2*sinf*z3^2 - 15435000*sinf^2*z3^2 - 
    713076000*z2*z3^2 - 683550000*ln2^2*sinf*z5 + 72618000*sinf^3*z5 - 
    2219616000*ln2*z2*z5 - 2144268000*sinf*z2*z5 + 1043931000*z3*z5 + 
    4289016375*sinf*z7)/56448000, H[1, 1, 1, -1, -1, 1, -1, -1, 1] -> 
  (16934400*li4half^2 + 180633600*li8half - 34720*ln2^8 - 35683200*ln2^2*s6 + 
    76461525*s8a + 531720000*s8b + 71366400*s8c + 35884800*s8d - 
    135475200*li7half*sinf - 5644800*li4half*ln2^3*sinf - 241920*ln2^7*sinf + 
    31449600*ln2*s6*sinf - 31449600*s7a*sinf + 44755200*s7b*sinf + 
    50803200*li6half*sinf^2 - 8467200*li4half*ln2^2*sinf^2 - 
    321440*ln2^6*sinf^2 + 21168000*s6*sinf^2 - 11289600*li5half*sinf^3 - 
    5644800*li4half*ln2*sinf^3 - 156800*ln2^5*sinf^3 - 50803200*li6half*z2 + 
    8467200*li4half*ln2^2*z2 + 666400*ln2^6*z2 - 146563200*s6*z2 + 
    33868800*li5half*sinf*z2 + 33868800*li4half*ln2*sinf*z2 + 
    2257920*ln2^5*sinf*z2 + 8467200*li4half*sinf^2*z2 + 
    1528800*ln2^4*sinf^2*z2 + 470400*ln2^3*sinf^3*z2 - 1290240*li4half*z2^2 - 
    4804800*ln2^4*z2^2 - 13030080*ln2^3*sinf*z2^2 - 
    9243360*ln2^2*sinf^2*z2^2 - 2257920*ln2*sinf^3*z2^2 + 
    10772160*ln2^2*z2^3 - 11413920*ln2*sinf*z2^3 - 10483200*sinf^2*z2^3 + 
    11030568*z2^4 - 94348800*li5half*z3 - 11289600*li4half*ln2*z3 - 
    44800*ln2^5*z3 - 29635200*li4half*sinf*z3 - 1528800*ln2^4*sinf*z3 + 
    235200*ln2^3*sinf^2*z3 + 117600*ln2^2*sinf^3*z3 - 1864800*ln2^3*z2*z3 + 
    9172800*ln2^2*sinf*z2*z3 - 352800*ln2*sinf^2*z2*z3 - 
    67095000*ln2*z2^2*z3 - 977760*sinf*z2^2*z3 - 23207100*ln2^2*z3^2 - 
    54835200*ln2*sinf*z3^2 - 7893900*sinf^2*z3^2 - 56876400*z2*z3^2 + 
    6585600*ln2^3*z5 - 51244200*ln2^2*sinf*z5 + 25401600*ln2*sinf^2*z5 + 
    11289600*sinf^3*z5 - 262080000*ln2*z2*z5 - 193120200*sinf*z2*z5 + 
    42353325*z3*z5 + 7056000*ln2*z7 + 389552625*sinf*z7)/11289600, 
 H[1, 1, 1, -1, -1, 0, 1, 1, 1] -> 
  (-9031680*li8half - 224*ln2^8 - 5040000*ln2^2*s6 + 14830515*s8a + 
    79128000*s8b + 10080000*s8c + 7418880*s8d + 6773760*li7half*sinf - 
    1344*ln2^7*sinf + 3225600*ln2*s6*sinf - 3225600*s7a*sinf + 
    5806080*s7b*sinf - 2257920*li6half*sinf^2 - 3136*ln2^6*sinf^2 + 
    282240*s6*sinf^2 + 376320*li5half*sinf^3 - 3136*ln2^5*sinf^3 + 
    2257920*li6half*z2 + 9408*ln2^6*z2 - 23869440*s6*z2 - 
    1128960*li5half*sinf*z2 + 37632*ln2^5*sinf*z2 + 47040*ln2^4*sinf^2*z2 + 
    31360*ln2^3*sinf^3*z2 + 1483776*li4half*z2^2 - 276864*ln2^4*z2^2 - 
    856128*ln2^3*sinf*z2^2 - 536256*ln2^2*sinf^2*z2^2 + 
    47040*ln2*sinf^3*z2^2 + 810432*ln2^2*z2^3 + 1217664*ln2*sinf*z2^3 + 
    364896*sinf^2*z2^3 + 356544*z2^4 - 11827200*li5half*z3 + 
    107968*ln2^5*z3 + 35280*ln2^4*sinf*z3 + 47040*ln2^3*sinf^2*z3 + 
    23520*ln2^2*sinf^3*z3 - 1103200*ln2^3*z2*z3 - 211680*ln2^2*sinf*z2*z3 - 
    70560*ln2*sinf^2*z2*z3 - 13427736*ln2*z2^2*z3 - 2586528*sinf*z2^2*z3 - 
    1229340*ln2^2*z3^2 - 3749760*ln2*sinf*z3^2 - 26460*sinf^2*z3^2 - 
    10946880*z2*z3^2 - 8749440*ln2^2*sinf*z5 - 294000*sinf^3*z5 - 
    30240000*ln2*z2*z5 - 16455600*sinf*z2*z5 + 21437115*z3*z5 + 
    27908370*sinf*z7)/2257920, H[1, 1, 1, -1, -1, 0, 1, 0, 1] -> 
  (903168000*li8half + 22400*ln2^8 - 41328000*ln2^2*s6 + 134122275*s8a + 
    651672000*s8b + 82656000*s8c + 44352000*s8d - 677376000*li7half*sinf + 
    134400*ln2^7*sinf + 167328000*ln2*s6*sinf - 167328000*s7a*sinf + 
    2016000*s7b*sinf + 225792000*li6half*sinf^2 + 313600*ln2^6*sinf^2 + 
    105840000*s6*sinf^2 - 37632000*li5half*sinf^3 + 313600*ln2^5*sinf^3 - 
    564480000*li6half*z2 - 1411200*ln2^6*z2 - 300384000*s6*z2 + 
    282240000*li5half*sinf*z2 - 5174400*ln2^5*sinf*z2 - 
    4704000*ln2^4*sinf^2*z2 - 3136000*ln2^3*sinf^3*z2 + 
    8870400*li4half*z2^2 + 5073600*ln2^4*z2^2 + 705600*ln2^3*sinf*z2^2 - 
    26107200*ln2^2*sinf^2*z2^2 - 11995200*ln2*sinf^3*z2^2 + 
    54331200*ln2^2*z2^3 - 453600*ln2*sinf*z2^3 - 24007200*sinf^2*z2^3 + 
    3722064*z2^4 - 446208000*li5half*z3 + 6540800*ln2^5*z3 + 
    10584000*ln2^4*sinf*z3 + 14112000*ln2^3*sinf^2*z3 + 
    7056000*ln2^2*sinf^3*z3 - 63644000*ln2^3*z2*z3 - 
    37044000*ln2^2*sinf*z2*z3 + 5292000*ln2*sinf^2*z2*z3 + 
    2940000*sinf^3*z2*z3 - 162703800*ln2*z2^2*z3 + 24292800*sinf*z2^2*z3 + 
    44824500*ln2^2*z3^2 - 124488000*ln2*sinf*z3^2 - 54904500*sinf^2*z3^2 - 
    10248000*z2*z3^2 - 164052000*ln2^2*sinf*z5 + 30282000*sinf^3*z5 - 
    247968000*ln2*z2*z5 - 204372000*sinf*z2*z5 + 336448875*z3*z5 + 
    323607375*sinf*z7)/56448000, H[1, 1, 1, -1, -1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 + 6604416000*li8half - 338688000*li7half*ln2 - 
    141120000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 82600*ln2^8 - 
    521136000*ln2^2*s6 - 98784000*ln2*s7a + 183456000*ln2*s7b + 
    1770695325*s8a + 11800152000*s8b + 1042272000*s8c + 1187424000*s8d - 
    4120704000*li7half*sinf - 282240000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    1052800*ln2^7*sinf + 635040000*ln2*s6*sinf - 832608000*s7a*sinf + 
    1086624000*s7b*sinf + 592704000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 56448000*li4half*ln2^2*sinf^2 + 
    2234400*ln2^6*sinf^2 + 282240000*s6*sinf^2 + 28224000*li5half*sinf^3 + 
    37632000*li4half*ln2*sinf^3 + 1332800*ln2^5*sinf^3 - 
    451584000*li6half*z2 - 141120000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 1254400*ln2^6*z2 - 3673152000*s6*z2 - 
    197568000*li5half*sinf*z2 - 225792000*li4half*ln2*sinf*z2 - 
    8467200*ln2^5*sinf*z2 - 56448000*li4half*sinf^2*z2 - 
    5292000*ln2^4*sinf^2*z2 + 293932800*li4half*z2^2 - 26619600*ln2^4*z2^2 - 
    79497600*ln2^3*sinf*z2^2 - 51861600*ln2^2*sinf^2*z2^2 - 
    1176000*ln2*sinf^3*z2^2 - 9576000*ln2^2*z2^3 - 275032800*ln2*sinf*z2^3 - 
    53272800*sinf^2*z2^3 - 476250408*z2^4 - 2177280000*li5half*z3 + 
    75264000*li4half*ln2*z3 + 24337600*ln2^5*z3 + 197568000*li4half*sinf*z3 + 
    19698000*ln2^4*sinf*z3 + 15288000*ln2^3*sinf^2*z3 + 
    7644000*ln2^2*sinf^3*z3 - 182028000*ln2^3*z2*z3 - 
    33516000*ln2^2*sinf*z2*z3 - 17640000*ln2*sinf^2*z2*z3 - 
    1419789000*ln2*z2^2*z3 - 382611600*sinf*z2^2*z3 - 174940500*ln2^2*z3^2 - 
    881118000*ln2*sinf*z3^2 - 104737500*sinf^2*z3^2 - 1200213000*z2*z3^2 - 
    323547000*ln2^3*z5 - 2009637000*ln2^2*sinf*z5 - 150381000*ln2*sinf^2*z5 - 
    29106000*sinf^3*z5 - 3371130000*ln2*z2*z5 - 3014235000*sinf*z2*z5 + 
    1343325375*z3*z5 + 960442875*ln2*z7 + 9105492375*sinf*z7)/56448000, 
 H[1, 1, 1, -1, -1, 0, 0, 1, 1] -> (-5644800*li4half^2 - 56448000*li8half + 
    8400*ln2^8 + 2217600*ln2^2*s6 - 27954675*s8a - 273873600*s8b - 
    4435200*s8c - 52012800*s8d + 45158400*li7half*sinf + 
    1881600*li4half*ln2^3*sinf + 69440*ln2^7*sinf - 37900800*ln2*s6*sinf + 
    37900800*s7a*sinf - 1612800*s7b*sinf - 16934400*li6half*sinf^2 + 
    2822400*li4half*ln2^2*sinf^2 + 94080*ln2^6*sinf^2 - 11289600*s6*sinf^2 + 
    3763200*li5half*sinf^3 + 1881600*li4half*ln2*sinf^3 + 
    47040*ln2^5*sinf^3 - 28224000*li6half*z2 - 2822400*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 + 132249600*s6*z2 + 16934400*li5half*sinf*z2 - 
    11289600*li4half*ln2*sinf*z2 - 893760*ln2^5*sinf*z2 - 
    8467200*li4half*sinf^2*z2 - 705600*ln2^4*sinf^2*z2 - 
    156800*ln2^3*sinf^3*z2 - 15482880*li4half*z2^2 + 1212960*ln2^4*z2^2 + 
    4986240*ln2^3*sinf*z2^2 + 3104640*ln2^2*sinf^2*z2^2 + 
    564480*ln2*sinf^3*z2^2 + 2852640*ln2^2*z2^3 + 12620160*ln2*sinf*z2^3 + 
    3393600*sinf^2*z2^3 + 18837624*z2^4 + 60748800*li5half*z3 + 
    3763200*li4half*ln2*z3 - 161280*ln2^5*z3 + 32457600*li4half*sinf*z3 + 
    2058000*ln2^4*sinf*z3 + 940800*ln2^3*sinf^2*z3 + 470400*ln2^2*sinf^3*z3 + 
    946400*ln2^3*z2*z3 - 14817600*ln2^2*sinf*z2*z3 - 
    3880800*ln2*sinf^2*z2*z3 - 705600*sinf^3*z2*z3 + 10692360*ln2*z2^2*z3 - 
    20845440*sinf*z2^2*z3 - 552300*ln2^2*z3^2 + 43142400*ln2*sinf*z3^2 + 
    8246700*sinf^2*z3^2 + 18585000*z2*z3^2 + 38278800*ln2^2*sinf*z5 - 
    2293200*sinf^3*z5 + 13305600*ln2*z2*z5 - 8845200*sinf*z2*z5 - 
    39559275*z3*z5 + 4391100*sinf*z7)/5644800, 
 H[1, 1, 1, -1, -1, 0, 0, 0, 1] -> (422100*s8a + 3763200*s8b + 806400*s8d + 
    470400*ln2*s6*sinf - 470400*s7a*sinf + 67200*s6*sinf^2 + 
    806400*li6half*z2 + 1120*ln2^6*z2 - 1881600*s6*z2 - 
    537600*li5half*sinf*z2 + 4480*ln2^5*sinf*z2 + 134400*li4half*sinf^2*z2 + 
    5600*ln2^4*sinf^2*z2 + 161280*li4half*z2^2 - 24640*ln2^4*z2^2 - 
    86240*ln2^3*sinf*z2^2 - 70560*ln2^2*sinf^2*z2^2 - 7840*ln2*sinf^3*z2^2 + 
    13440*ln2^2*z2^3 - 117600*ln2*sinf*z2^3 - 18720*sinf^2*z2^3 - 
    302928*z2^4 - 403200*li5half*z3 + 3360*ln2^5*z3 - 
    537600*li4half*sinf*z3 - 22400*ln2^4*sinf*z3 + 235200*ln2^2*sinf*z2*z3 + 
    100800*ln2*sinf^2*z2*z3 + 11200*sinf^3*z2*z3 - 237440*ln2*z2^2*z3 + 
    189840*sinf*z2^2*z3 - 588000*ln2*sinf*z3^2 - 75600*sinf^2*z3^2 - 
    187600*z2*z3^2 - 455700*ln2^2*sinf*z5 - 20300*sinf^3*z5 + 
    688800*sinf*z2*z5 + 457100*z3*z5 - 735525*sinf*z7)/134400, 
 H[1, 1, 1, -1, -1, 0, 0, -1, 1] -> 
  (677376000*li8half + 112896000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 280000*ln2^8 + 
    264096000*ln2^2*s6 - 14112000*ln2*s7a + 14112000*ln2*s7b - 
    313365150*s8a - 1117872000*s8b - 274176000*s8c - 92736000*s8d - 
    338688000*li7half*sinf + 112896000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    1030400*ln2^7*sinf + 179424000*ln2*s6*sinf + 46368000*s7a*sinf - 
    94752000*s7b*sinf + 225792000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    1332800*ln2^6*sinf^2 + 112896000*s6*sinf^2 - 18816000*li5half*sinf^3 - 
    18816000*li4half*ln2*sinf^3 - 627200*ln2^5*sinf^3 - 
    508032000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 4155200*ln2^6*z2 + 86688000*s6*z2 + 
    141120000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 + 
    9172800*ln2^5*sinf*z2 + 7056000*ln2^4*sinf^2*z2 + 
    3136000*ln2^3*sinf^3*z2 - 4435200*li4half*z2^2 - 22058400*ln2^4*z2^2 - 
    40689600*ln2^3*sinf*z2^2 - 19051200*ln2^2*sinf^2*z2^2 - 
    1176000*ln2*sinf^3*z2^2 - 108309600*ln2^2*z2^3 - 90568800*ln2*sinf*z2^3 - 
    27384000*sinf^2*z2^3 - 5740824*z2^4 + 112560000*li5half*z3 - 
    136416000*li4half*ln2*z3 - 8503600*ln2^5*z3 - 28224000*li4half*sinf*z3 - 
    8232000*ln2^4*sinf*z3 - 9408000*ln2^3*sinf^2*z3 - 
    4704000*ln2^2*sinf^3*z3 + 67004000*ln2^3*z2*z3 + 
    49392000*ln2^2*sinf*z2*z3 + 14112000*ln2*sinf^2*z2*z3 + 
    588000*sinf^3*z2*z3 + 219105600*ln2*z2^2*z3 + 31122000*sinf*z2^2*z3 - 
    29725500*ln2^2*z3^2 - 24507000*ln2*sinf*z3^2 - 43879500*sinf^2*z3^2 + 
    399525000*z2*z3^2 - 50127000*ln2^3*z5 + 68355000*ln2^2*sinf*z5 - 
    68355000*ln2*sinf^2*z5 + 18375000*sinf^3*z5 + 916902000*ln2*z2*z5 + 
    187488000*sinf*z2*z5 - 646957500*z3*z5 + 203025375*ln2*z7 - 
    184015125*sinf*z7)/56448000, H[1, 1, 1, -1, -1, 0, -1, 1, 1] -> 
  (-9031680*li4half^2 - 259660800*li8half - 1128960*li6half*ln2^2 - 
    752640*li5half*ln2^3 + 13944*ln2^8 + 11450880*ln2^2*s6 - 52436160*s8a - 
    422674560*s8b - 28546560*s8c - 48222720*s8d + 139991040*li7half*sinf - 
    1128960*li5half*ln2^2*sinf + 1881600*li4half*ln2^3*sinf + 
    60032*ln2^7*sinf - 34917120*ln2*s6*sinf + 34917120*s7a*sinf - 
    21530880*s7b*sinf - 23708160*li6half*sinf^2 + 
    1128960*li4half*ln2^2*sinf^2 + 14112*ln2^6*sinf^2 - 9596160*s6*sinf^2 - 
    376320*li4half*ln2*sinf^3 - 15680*ln2^5*sinf^3 + 24837120*li6half*z2 - 
    1128960*li5half*ln2*z2 - 1128960*li4half*ln2^2*z2 - 163072*ln2^6*z2 + 
    147248640*s6*z2 + 1128960*li5half*sinf*z2 - 4515840*li4half*ln2*sinf*z2 - 
    602112*ln2^5*sinf*z2 - 1128960*li4half*sinf^2*z2 - 
    399840*ln2^4*sinf^2*z2 - 188160*ln2^3*sinf^3*z2 - 8515584*li4half*z2^2 + 
    2201808*ln2^4*z2^2 + 6021120*ln2^3*sinf*z2^2 + 
    2892960*ln2^2*sinf^2*z2^2 - 9408*ln2*sinf^3*z2^2 + 3181248*ln2^2*z2^3 + 
    15896160*ln2*sinf*z2^3 + 2876832*sinf^2*z2^3 + 17444808*z2^4 + 
    96163200*li5half*z3 - 752640*li4half*ln2*z3 - 710416*ln2^5*z3 + 
    9878400*li4half*sinf*z3 + 870240*ln2^4*sinf*z3 + 611520*ln2^3*sinf^2*z3 + 
    305760*ln2^2*sinf^3*z3 + 3921120*ln2^3*z2*z3 - 
    10090080*ln2^2*sinf*z2*z3 - 2610720*ln2*sinf^2*z2*z3 - 
    493920*sinf^3*z2*z3 + 42335328*ln2*z2^2*z3 - 3406032*sinf*z2^2*z3 + 
    3011820*ln2^2*z3^2 + 41388480*ln2*sinf*z3^2 + 6235740*sinf^2*z3^2 + 
    31870440*z2*z3^2 - 364560*ln2^3*z5 + 54137160*ln2^2*sinf*z5 + 
    1023120*sinf^3*z5 + 86627520*ln2*z2*z5 + 62488440*sinf*z2*z5 - 
    31683960*z3*z5 - 202600755*sinf*z7)/2257920, 
 H[1, 1, 1, -1, -1, 0, -1, 0, 1] -> 
  (127008000*li4half^2 + 451584000*li8half + 10584000*li4half*ln2^4 + 
    231700*ln2^8 - 67536000*ln2^2*s6 + 236198025*s8a + 1577520000*s8b + 
    135072000*s8c + 196560000*s8d - 338688000*li7half*sinf + 
    67200*ln2^7*sinf + 265104000*ln2*s6*sinf - 265104000*s7a*sinf - 
    32256000*s7b*sinf + 112896000*li6half*sinf^2 + 156800*ln2^6*sinf^2 + 
    67032000*s6*sinf^2 - 18816000*li5half*sinf^3 + 156800*ln2^5*sinf^3 - 
    437472000*li6half*z2 - 42336000*li5half*ln2*z2 - 568400*ln2^6*z2 - 
    781200000*s6*z2 + 155232000*li5half*sinf*z2 + 127008000*li4half*ln2*sinf*
     z2 + 2587200*ln2^5*sinf*z2 + 63504000*li4half*sinf^2*z2 + 
    294000*ln2^4*sinf^2*z2 - 1568000*ln2^3*sinf^3*z2 - 
    36892800*li4half*z2^2 - 8857800*ln2^4*z2^2 - 34221600*ln2^3*sinf*z2^2 - 
    32281200*ln2^2*sinf^2*z2^2 - 6468000*ln2*sinf^3*z2^2 + 
    81270000*ln2^2*z2^3 - 28828800*ln2*sinf*z2^3 - 26023200*sinf^2*z2^3 + 
    21571944*z2^4 - 540120000*li5half*z3 + 6382600*ln2^5*z3 - 
    222264000*li4half*sinf*z3 - 2205000*ln2^4*sinf*z3 + 
    9408000*ln2^3*sinf^2*z3 + 4704000*ln2^2*sinf^3*z3 - 
    48244000*ln2^3*z2*z3 + 74088000*ln2^2*sinf*z2*z3 + 
    46746000*ln2*sinf^2*z2*z3 + 6762000*sinf^3*z2*z3 - 
    250912200*ln2*z2^2*z3 + 121199400*sinf*z2^2*z3 + 18637500*ln2^2*z3^2 - 
    274932000*ln2*sinf*z3^2 - 57660750*sinf^2*z3^2 - 47428500*z2*z3^2 - 
    225571500*ln2^2*sinf*z5 + 5365500*sinf^3*z5 - 425722500*ln2*z2*z5 + 
    33673500*sinf*z2*z5 + 429523500*z3*z5 - 314259750*sinf*z7)/28224000, 
 H[1, 1, 1, -1, -1, 0, -1, -1, 1] -> 
  (12096000*li4half^2 + 32256000*li7half*ln2 + 16128000*li6half*ln2^2 - 
    5376000*li5half*ln2^3 - 3024000*li4half*ln2^4 - 86200*ln2^8 - 
    864000*ln2^2*s6 + 4896000*ln2*s7a - 39456000*ln2*s7b + 49310100*s8a + 
    178416000*s8b + 36288000*s8c + 6048000*s8d + 48384000*li7half*sinf + 
    24192000*li6half*ln2*sinf - 20160000*li5half*ln2^2*sinf - 
    12096000*li4half*ln2^3*sinf - 312000*ln2^7*sinf + 32832000*ln2*s6*sinf - 
    8640000*s7a*sinf - 20736000*s7b*sinf - 24192000*li5half*ln2*sinf^2 - 
    12096000*li4half*ln2^2*sinf^2 - 302400*ln2^6*sinf^2 + 
    15120000*s6*sinf^2 - 8064000*li5half*sinf^3 - 
    4032000*li4half*ln2*sinf^3 - 100800*ln2^5*sinf^3 - 12096000*li6half*z2 + 
    44352000*li5half*ln2*z2 + 24192000*li4half*ln2^2*z2 + 980000*ln2^6*z2 - 
    60480000*s6*z2 + 48384000*li5half*sinf*z2 + 36288000*li4half*ln2*sinf*
     z2 + 2150400*ln2^5*sinf*z2 + 6048000*li4half*sinf^2*z2 + 
    1260000*ln2^4*sinf^2*z2 + 336000*ln2^3*sinf^3*z2 - 3628800*li4half*z2^2 - 
    4695600*ln2^4*z2^2 - 10080000*ln2^3*sinf*z2^2 - 
    6501600*ln2^2*sinf^2*z2^2 - 1612800*ln2*sinf^3*z2^2 + 
    8942400*ln2^2*z2^3 + 5313600*ln2*sinf*z2^3 + 806400*sinf^2*z2^3 + 
    1174536*z2^4 - 68544000*li5half*z3 - 32256000*li4half*ln2*z3 - 
    739200*ln2^5*z3 - 24192000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 
    168000*ln2^3*sinf^2*z3 + 84000*ln2^2*sinf^3*z3 + 1932000*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 - 252000*ln2*sinf^2*z2*z3 - 
    23583600*ln2*z2^2*z3 + 14302800*sinf*z2^2*z3 + 4177500*ln2^2*z3^2 - 
    8280000*ln2*sinf*z3^2 - 5607000*sinf^2*z3^2 - 29484000*z2*z3^2 + 
    46221000*ln2^3*z5 + 19530000*ln2^2*sinf*z5 + 5859000*ln2*sinf^2*z5 + 
    8064000*sinf^3*z5 - 5247000*ln2*z2*z5 + 31239000*sinf*z2*z5 + 
    106564500*z3*z5 - 244713375*ln2*z7 - 194109750*sinf*z7)/8064000, 
 H[1, 1, 1, -1, -1, -1, 1, 1, 1] -> 
  (508032000*li8half + 61600*ln2^8 - 224784000*ln2^2*s6 + 573005475*s8a + 
    2528568000*s8b + 449568000*s8c + 58464000*s8d - 338688000*li7half*sinf + 
    235200*ln2^7*sinf + 48384000*ln2*s6*sinf - 48384000*s7a*sinf + 
    290304000*s7b*sinf + 84672000*li6half*sinf^2 + 313600*ln2^6*sinf^2 + 
    84672000*s6*sinf^2 - 9408000*li5half*sinf^3 + 156800*ln2^5*sinf^3 - 
    84672000*li6half*z2 - 1254400*ln2^6*z2 - 455616000*s6*z2 + 
    28224000*li5half*sinf*z2 - 3057600*ln2^5*sinf*z2 - 
    2352000*ln2^4*sinf^2*z2 - 784000*ln2^3*sinf^3*z2 + 
    11692800*li4half*z2^2 - 7039200*ln2^4*z2^2 - 20697600*ln2^3*sinf*z2^2 - 
    16934400*ln2^2*sinf^2*z2^2 - 3763200*ln2*sinf^3*z2^2 + 
    60328800*ln2^2*z2^3 + 9072000*ln2*sinf*z2^3 - 13608000*sinf^2*z2^3 + 
    7169256*z2^4 - 135744000*li5half*z3 + 7638400*ln2^5*z3 + 
    15582000*ln2^4*sinf*z3 + 12936000*ln2^3*sinf^2*z3 + 
    4116000*ln2^2*sinf^3*z3 - 74228000*ln2^3*z2*z3 - 
    93492000*ln2^2*sinf*z2*z3 - 40572000*ln2*sinf^2*z2*z3 - 
    4704000*sinf^3*z2*z3 - 454057800*ln2*z2^2*z3 - 193183200*sinf*z2^2*z3 - 
    58516500*ln2^2*z3^2 - 67536000*ln2*sinf*z3^2 + 5071500*sinf^2*z3^2 - 
    425964000*z2*z3^2 + 18816000*ln2^3*z5 - 328104000*ln2^2*sinf*z5 + 
    18522000*sinf^3*z5 - 1405152000*ln2*z2*z5 - 918918000*sinf*z2*z5 + 
    572236875*z3*z5 + 2252943000*sinf*z7)/56448000, 
 H[1, 1, 1, -1, -1, -1, 1, 0, 1] -> 
  (-10584000*li4half^2 + 119952000*li8half + 21350*ln2^8 + 9072000*ln2^2*s6 - 
    1261575*s8a + 77364000*s8b - 18144000*s8c + 32256000*s8d - 
    21168000*li7half*sinf + 3528000*li4half*ln2^3*sinf + 151200*ln2^7*sinf + 
    7560000*ln2*s6*sinf - 7560000*s7a*sinf - 18144000*s7b*sinf - 
    10584000*li6half*sinf^2 + 5292000*li4half*ln2^2*sinf^2 + 
    205800*ln2^6*sinf^2 - 10584000*s6*sinf^2 + 4704000*li5half*sinf^3 + 
    3528000*li4half*ln2*sinf^3 + 107800*ln2^5*sinf^3 + 31752000*li6half*z2 - 
    5292000*li4half*ln2^2*z2 - 284200*ln2^6*z2 - 39816000*s6*z2 - 
    28224000*li5half*sinf*z2 - 21168000*li4half*ln2*sinf*z2 - 
    1087800*ln2^5*sinf*z2 - 1764000*li4half*sinf^2*z2 - 
    735000*ln2^4*sinf^2*z2 - 392000*ln2^3*sinf^3*z2 + 11037600*li4half*z2^2 + 
    48300*ln2^4*z2^2 + 940800*ln2^3*sinf*z2^2 + 617400*ln2^2*sinf^2*z2^2 + 
    470400*ln2*sinf^3*z2^2 - 8794800*ln2^2*z2^3 - 7333200*ln2*sinf*z2^3 + 
    2230200*sinf^2*z2^3 - 23735412*z2^4 - 40992000*li5half*z3 + 
    7056000*li4half*ln2*z3 + 1017800*ln2^5*z3 + 11466000*li4half*sinf*z3 + 
    1911000*ln2^4*sinf*z3 + 1911000*ln2^3*sinf^2*z3 + 
    955500*ln2^2*sinf^3*z3 - 1162000*ln2^3*z2*z3 + 1984500*ln2^2*sinf*z2*z3 + 
    3528000*ln2*sinf^2*z2*z3 + 514500*sinf^3*z2*z3 - 1654800*ln2*z2^2*z3 + 
    6759900*sinf*z2^2*z3 + 10195500*ln2^2*z3^2 + 2016000*ln2*sinf*z3^2 + 
    55125*sinf^2*z3^2 + 3832500*z2*z3^2 + 10253250*ln2^2*sinf*z5 - 
    5733000*sinf^3*z5 + 61488000*ln2*z2*z5 + 97949250*sinf*z2*z5 + 
    2779875*z3*z5 - 130473000*sinf*z7)/7056000, 
 H[1, 1, 1, -1, -1, -1, 1, -1, 1] -> 
  (-84672000*li4half^2 - 677376000*li8half + 81200*ln2^8 + 
    171360000*ln2^2*s6 - 357137550*s8a - 2224656000*s8b - 342720000*s8c - 
    137088000*s8d + 508032000*li7half*sinf + 28224000*li4half*ln2^3*sinf + 
    907200*ln2^7*sinf - 127008000*ln2*s6*sinf + 127008000*s7a*sinf - 
    183456000*s7b*sinf - 169344000*li6half*sinf^2 + 
    42336000*li4half*ln2^2*sinf^2 + 1332800*ln2^6*sinf^2 - 
    70560000*s6*sinf^2 + 37632000*li5half*sinf^3 + 
    28224000*li4half*ln2*sinf^3 + 784000*ln2^5*sinf^3 + 
    169344000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 2038400*ln2^6*z2 + 
    584640000*s6*z2 - 112896000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*
     z2 - 9643200*ln2^5*sinf*z2 - 42336000*li4half*sinf^2*z2 - 
    8232000*ln2^4*sinf^2*z2 - 3920000*ln2^3*sinf^3*z2 + 
    14918400*li4half*z2^2 + 22260000*ln2^4*z2^2 + 55977600*ln2^3*sinf*z2^2 + 
    27518400*ln2^2*sinf^2*z2^2 + 3763200*ln2*sinf^3*z2^2 - 
    37027200*ln2^2*z2^3 + 63588000*ln2*sinf*z2^3 + 40588800*sinf^2*z2^3 - 
    37924608*z2^4 + 349440000*li5half*z3 + 56448000*li4half*ln2*z3 - 
    2128000*ln2^5*z3 + 148176000*li4half*sinf*z3 + 9114000*ln2^4*sinf*z3 + 
    11760000*ln2^3*sinf^2*z3 + 8232000*ln2^2*sinf^3*z3 + 
    11480000*ln2^3*z2*z3 - 68796000*ln2^2*sinf*z2*z3 - 
    10584000*ln2*sinf^2*z2*z3 + 330212400*ln2*z2^2*z3 + 705600*sinf*z2^2*z3 + 
    99939000*ln2^2*z3^2 + 229320000*ln2*sinf*z3^2 + 26019000*sinf^2*z3^2 + 
    278208000*z2*z3^2 - 47040000*ln2^3*z5 + 216090000*ln2^2*sinf*z5 - 
    84672000*ln2*sinf^2*z5 - 37632000*sinf^3*z5 + 1253952000*ln2*z2*z5 + 
    746172000*sinf*z2*z5 - 260184750*z3*z5 - 384552000*ln2*z7 - 
    1541460375*sinf*z7)/56448000, H[1, 1, 1, -1, -1, -1, 0, 1, 1] -> 
  (28224000*li4half^2 + 1072512000*li8half - 22400*ln2^8 + 
    93744000*ln2^2*s6 - 133958475*s8a + 340200000*s8b - 187488000*s8c + 
    201600000*s8d - 564480000*li7half*sinf - 9408000*li4half*ln2^3*sinf - 
    280000*ln2^7*sinf + 179424000*ln2*s6*sinf - 179424000*s7a*sinf - 
    80640000*s7b*sinf + 112896000*li6half*sinf^2 - 
    14112000*li4half*ln2^2*sinf^2 - 431200*ln2^6*sinf^2 + 
    28224000*s6*sinf^2 - 9408000*li5half*sinf^3 - 
    9408000*li4half*ln2*sinf^3 - 313600*ln2^5*sinf^3 - 112896000*li6half*z2 + 
    14112000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 - 438480000*s6*z2 - 
    28224000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    5409600*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 + 
    6468000*ln2^4*sinf^2*z2 + 3136000*ln2^3*sinf^3*z2 + 
    65721600*li4half*z2^2 - 4788000*ln2^4*z2^2 - 28224000*ln2^3*sinf*z2^2 - 
    18698400*ln2^2*sinf^2*z2^2 + 705600*ln2*sinf^3*z2^2 - 
    73231200*ln2^2*z2^3 - 115920000*ln2*sinf*z2^3 - 25653600*sinf^2*z2^3 - 
    122649696*z2^4 - 309120000*li5half*z3 - 18816000*li4half*ln2*z3 - 
    1030400*ln2^5*z3 - 162288000*li4half*sinf*z3 - 17346000*ln2^4*sinf*z3 - 
    14112000*ln2^3*sinf^2*z3 - 7056000*ln2^2*sinf^3*z3 + 
    49700000*ln2^3*z2*z3 + 172872000*ln2^2*sinf*z2*z3 + 
    61740000*ln2*sinf^2*z2*z3 + 4116000*sinf^3*z2*z3 + 
    138965400*ln2*z2^2*z3 + 155836800*sinf*z2^2*z3 - 5386500*ln2^2*z3^2 - 
    259560000*ln2*sinf*z3^2 - 42115500*sinf^2*z3^2 + 212793000*z2*z3^2 - 
    95697000*ln2^2*sinf*z5 + 1176000*sinf^3*z5 + 675360000*ln2*z2*z5 + 
    341397000*sinf*z2*z5 - 393421875*z3*z5 - 389466000*sinf*z7)/56448000, 
 H[1, 1, 1, -1, -1, -1, 0, 0, 1] -> 
  (-1612800*li8half - 40*ln2^8 - 168840*s8a - 1774080*s8b - 322560*s8d + 
    967680*li7half*sinf - 192*ln2^7*sinf - 362880*ln2*s6*sinf + 
    362880*s7a*sinf - 241920*li6half*sinf^2 - 336*ln2^6*sinf^2 - 
    120960*s6*sinf^2 + 26880*li5half*sinf^3 - 224*ln2^5*sinf^3 + 
    725760*li6half*z2 + 2128*ln2^6*z2 + 1048320*s6*z2 - 
    161280*li5half*sinf*z2 + 5376*ln2^5*sinf*z2 - 40320*li4half*sinf^2*z2 + 
    3360*ln2^4*sinf^2*z2 + 2240*ln2^3*sinf^3*z2 - 64512*li4half*z2^2 - 
    4704*ln2^4*z2^2 + 23520*ln2^3*sinf*z2^2 + 44352*ln2^2*sinf^2*z2^2 + 
    10080*ln2*sinf^3*z2^2 - 52704*ln2^2*z2^3 + 61344*ln2*sinf*z2^3 + 
    30816*sinf^2*z2^3 + 81792*z2^4 + 698880*li5half*z3 - 8512*ln2^5*z3 + 
    161280*li4half*sinf*z3 - 3360*ln2^4*sinf*z3 - 13440*ln2^3*sinf^2*z3 - 
    6720*ln2^2*sinf^3*z3 + 71680*ln2^3*z2*z3 - 40320*ln2^2*sinf*z2*z3 - 
    40320*ln2*sinf^2*z2*z3 - 6720*sinf^3*z2*z3 + 161280*ln2*z2^2*z3 - 
    127008*sinf*z2^2*z3 - 53760*ln2^2*z3^2 + 372960*ln2*sinf*z3^2 + 
    90720*sinf^2*z3^2 - 134400*z2*z3^2 + 351540*ln2^2*sinf*z5 - 
    13860*sinf^3*z5 - 22680*sinf*z2*z5 - 83160*z3*z5 - 116235*sinf*z7)/80640, 
 H[1, 1, 1, -1, -1, -1, 0, -1, 1] -> 
  (316108800*li8half - 11289600*li7half*ln2 - 5644800*li6half*ln2^2 + 
    5644800*li5half*ln2^3 + 470400*li4half*ln2^4 - 25200*ln2^8 + 
    15120000*ln2^2*s6 + 3628800*ln2*s7a + 31852800*ln2*s7b - 12461400*s8a + 
    216921600*s8b - 34675200*s8c + 60076800*s8d - 169344000*li7half*sinf - 
    11289600*li6half*ln2*sinf + 16934400*li5half*ln2^2*sinf + 
    1881600*li4half*ln2^3*sinf - 44800*ln2^7*sinf + 14918400*ln2*s6*sinf - 
    12096000*s7a*sinf + 10483200*s7b*sinf + 16934400*li6half*sinf^2 + 
    16934400*li5half*ln2*sinf^2 + 2822400*li4half*ln2^2*sinf^2 - 
    11289600*s6*sinf^2 + 7526400*li5half*sinf^3 + 
    1881600*li4half*ln2*sinf^3 + 15680*ln2^5*sinf^3 - 11289600*li6half*z2 - 
    33868800*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 + 313600*ln2^6*z2 - 
    122976000*s6*z2 - 45158400*li5half*sinf*z2 - 11289600*li4half*ln2*sinf*
     z2 + 658560*ln2^5*sinf*z2 + 705600*ln2^4*sinf^2*z2 + 
    313600*ln2^3*sinf^3*z2 + 10604160*li4half*z2^2 - 3239040*ln2^4*z2^2 - 
    3339840*ln2^3*sinf*z2^2 + 2540160*ln2^2*sinf^2*z2^2 + 
    2257920*ln2*sinf^3*z2^2 - 24706080*ln2^2*z2^3 - 36146880*ln2*sinf*z2^3 - 
    5806080*sinf^2*z2^3 - 37972728*z2^4 - 68409600*li5half*z3 + 
    13641600*li4half*ln2*z3 + 385840*ln2^5*z3 + 2822400*li4half*sinf*z3 - 
    2704800*ln2^4*sinf*z3 - 3763200*ln2^3*sinf^2*z3 - 
    1881600*ln2^2*sinf^3*z3 + 3432800*ln2^3*z2*z3 + 
    21873600*ln2^2*sinf*z2*z3 + 8467200*ln2*sinf^2*z2*z3 - 
    15991920*ln2*z2^2*z3 - 2096640*sinf*z2^2*z3 - 1230600*ln2^2*z3^2 - 
    28879200*ln2*sinf*z3^2 + 2822400*sinf^2*z3^2 + 22743000*z2*z3^2 - 
    25519200*ln2^3*z5 - 16405200*ln2^2*sinf*z5 + 5468400*ln2*sinf^2*z5 - 
    7526400*sinf^3*z5 + 9928800*ln2*z2*z5 - 3276000*sinf*z2*z5 - 
    39975600*z3*z5 + 288390375*ln2*z7 + 236675250*sinf*z7)/11289600, 
 H[1, 1, 1, -1, -1, -1, -1, 1, 1] -> 
  (4032000*li4half^2 - 32256000*li8half - 14800*ln2^8 + 1008000*ln2^2*s6 - 
    6014925*s8a - 61992000*s8b - 2016000*s8c - 6048000*s8d + 
    16128000*li7half*sinf - 1344000*li4half*ln2^3*sinf - 83200*ln2^7*sinf - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf - 2016000*s7b*sinf - 
    2016000*li4half*ln2^2*sinf^2 - 112000*ln2^6*sinf^2 - 
    1344000*li5half*sinf^3 - 1344000*li4half*ln2*sinf^3 - 
    56000*ln2^5*sinf^3 + 2016000*li4half*ln2^2*z2 + 302400*ln2^6*z2 + 
    16128000*s6*z2 + 4032000*li5half*sinf*z2 + 8064000*li4half*ln2*sinf*z2 + 
    907200*ln2^5*sinf*z2 + 2016000*li4half*sinf^2*z2 + 
    672000*ln2^4*sinf^2*z2 + 224000*ln2^3*sinf^3*z2 - 3225600*li4half*z2^2 - 
    100800*ln2^4*z2^2 + 302400*ln2^2*sinf^2*z2^2 + 1288800*ln2^2*z2^3 + 
    1029600*ln2*sinf*z2^3 - 806400*sinf^2*z2^3 + 2609352*z2^4 + 
    9408000*li5half*z3 - 2688000*li4half*ln2*z3 - 1120000*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 2520000*ln2^4*sinf*z3 - 
    1848000*ln2^3*sinf^2*z3 - 588000*ln2^2*sinf^3*z3 + 7756000*ln2^3*z2*z3 + 
    9072000*ln2^2*sinf*z2*z3 + 1764000*ln2*sinf^2*z2*z3 + 
    6665400*ln2*z2^2*z3 + 2772000*sinf*z2^2*z3 - 8452500*ln2^2*z3^2 - 
    4536000*ln2*sinf*z3^2 + 31500*sinf^2*z3^2 + 10836000*z2*z3^2 - 
    8064000*ln2^3*z5 - 4158000*ln2^2*sinf*z5 + 1344000*sinf^3*z5 + 
    22176000*ln2*z2*z5 + 10080000*sinf*z2*z5 - 17275125*z3*z5 - 
    36815625*sinf*z7)/8064000, H[1, 1, 1, -1, -1, -1, -1, 0, 1] -> 
  (-8064000*li8half - 200*ln2^8 - 844200*s8a - 8870400*s8b - 1612800*s8d + 
    2419200*li7half*sinf - 480*ln2^7*sinf - 201600*ln2*s6*sinf + 
    201600*s7a*sinf + 201600*s6*sinf^2 - 67200*li5half*sinf^3 + 
    560*ln2^5*sinf^3 - 806400*li6half*z2 - 6720*ln2^6*z2 + 3628800*s6*z2 + 
    604800*li5half*sinf*z2 - 25200*ln2^5*sinf*z2 - 25200*ln2^4*sinf^2*z2 - 
    11200*ln2^3*sinf^3*z2 - 322560*li4half*z2^2 + 102480*ln2^4*z2^2 + 
    164640*ln2^3*sinf*z2^2 - 10080*ln2^2*sinf^2*z2^2 - 
    26880*ln2*sinf^3*z2^2 + 452160*ln2^2*z2^3 + 561600*ln2*sinf*z2^3 + 
    34560*sinf^2*z2^3 + 1103904*z2^4 + 2688000*li5half*z3 - 8960*ln2^5*z3 + 
    50400*ln2^4*sinf*z3 + 67200*ln2^3*sinf^2*z3 + 33600*ln2^2*sinf^3*z3 - 
    358400*ln2^3*z2*z3 - 806400*ln2^2*sinf*z2*z3 - 201600*ln2*sinf^2*z2*z3 + 
    752640*ln2*z2^2*z3 - 50400*sinf*z2^2*z3 + 268800*ln2^2*z3^2 + 
    655200*ln2*sinf*z3^2 - 50400*sinf^2*z3^2 + 100800*z2*z3^2 + 
    195300*ln2^2*sinf*z5 + 67200*sinf^3*z5 - 1612800*ln2*z2*z5 - 
    1001700*sinf*z2*z5 - 105000*z3*z5 - 1393875*sinf*z7)/403200, 
 H[1, 1, 1, -1, -1, -1, -1, -1, 1] -> 
  (2016000*li8half + 400*ln2^8 + 211050*s8a + 2217600*s8b + 403200*s8d - 
    1209600*li7half*sinf + 1440*ln2^7*sinf + 201600*ln2*s6*sinf - 
    201600*s7a*sinf + 201600*li6half*sinf^2 + 1680*ln2^6*sinf^2 + 
    560*ln2^5*sinf^3 - 201600*li6half*z2 - 7280*ln2^6*z2 - 1008000*s6*z2 - 
    15120*ln2^5*sinf*z2 - 8400*ln2^4*sinf^2*z2 + 80640*li4half*z2^2 - 
    31920*ln2^4*z2^2 - 84000*ln2^3*sinf*z2^2 - 40320*ln2^2*sinf^2*z2^2 - 
    128160*ln2^2*z2^3 - 241920*ln2*sinf*z2^3 - 46080*sinf^2*z2^3 - 
    272952*z2^4 - 806400*li5half*z3 + 41440*ln2^5*z3 + 67200*ln2^4*sinf*z3 + 
    33600*ln2^3*sinf^2*z3 - 235200*ln2^3*z2*z3 - 100800*ln2^2*sinf*z2*z3 - 
    342720*ln2*z2^2*z3 - 10080*sinf*z2^2*z3 + 302400*ln2^2*z3^2 - 
    50400*ln2*sinf*z3^2 - 201600*z2*z3^2 + 470400*ln2^3*z5 + 
    409500*ln2^2*sinf*z5 + 201600*ln2*sinf^2*z5 - 806400*ln2*z2*z5 - 
    207900*sinf*z2*z5 + 967050*z3*z5 + 2016000*ln2*z7 + 1403325*sinf*z7)/
   403200, H[1, 1, 0, 1, 1, 1, 1, 1, 1] -> 
  (2*(10*sinf^2*z2^3 + 242*z2^4 - 525*sinf*z7))/175, 
 H[1, 1, 0, 1, 1, 1, 1, 0, 1] -> (700*s8a - 140*sinf^2*z2^3 - 1796*z2^4 - 
    840*sinf*z2^2*z3 + 175*sinf^2*z3^2 - 175*z2*z3^2 - 700*sinf*z2*z5 + 
    4200*z3*z5 + 7000*sinf*z7)/700, H[1, 1, 0, 1, 1, 1, 1, -1, 1] -> 
  (1975680000*li8half + 846720000*li7half*ln2 + 141120000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 1400*ln2^8 - 53424000*ln2^2*s6 + 232118775*s8a + 
    1545768000*s8b + 106848000*s8c + 104832000*s8d + 620928000*li7half*sinf + 
    282240000*li6half*ln2*sinf + 28224000*li5half*ln2^2*sinf + 
    33600*ln2^7*sinf - 86688000*ln2*s6*sinf + 86688000*s7a*sinf - 
    40320000*s7b*sinf + 84672000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 - 117600*ln2^6*sinf^2 + 14112000*s6*sinf^2 - 
    225792000*li6half*z2 - 56448000*li5half*ln2*z2 + 156800*ln2^6*z2 - 
    329616000*s6*z2 - 28224000*li5half*sinf*z2 - 705600*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 - 
    18547200*li4half*z2^2 - 8400*ln2^4*z2^2 - 13406400*ln2^3*sinf*z2^2 + 
    6350400*ln2^2*sinf^2*z2^2 + 70812000*ln2^2*z2^3 - 604800*ln2*sinf*z2^3 - 
    11289600*sinf^2*z2^3 - 175249296*z2^4 - 160272000*li5half*z3 + 
    1335600*ln2^5*z3 + 112896000*li4half*sinf*z3 + 4704000*ln2^4*sinf*z3 - 
    13356000*ln2^3*z2*z3 - 28224000*ln2^2*sinf*z2*z3 - 
    118200600*ln2*z2^2*z3 - 90014400*sinf*z2^2*z3 - 15025500*ln2^2*z3^2 + 
    108360000*ln2*sinf*z3^2 + 7056000*sinf^2*z3^2 - 128425500*z2*z3^2 + 
    123039000*ln2^2*sinf*z5 - 320544000*ln2*z2*z5 + 122409000*sinf*z2*z5 + 
    44328375*z3*z5 - 442685250*sinf*z7)/56448000, 
 H[1, 1, 0, 1, 1, 1, 0, 1, 1] -> (-4200*s8a + 250*sinf^2*z2^3 + 3698*z2^4 + 
    2520*sinf*z2^2*z3 - 525*sinf^2*z3^2 + 525*z2*z3^2 - 4200*sinf*z2*z5 - 
    12600*z3*z5 - 4200*sinf*z7)/1050, H[1, 1, 0, 1, 1, 1, 0, 0, 1] -> 
  (12600*s8a + 1780*sinf^2*z2^3 + 684*z2^4 - 4200*sinf*z2^2*z3 - 
    2100*sinf^2*z3^2 + 10500*z2*z3^2 + 25200*sinf*z2*z5 + 4200*z3*z5 - 
    57225*sinf*z7)/8400, H[1, 1, 0, 1, 1, 1, 0, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    29232000*ln2^2*s6 + 58464000*ln2*s7a - 12096000*ln2*s7b + 30332925*s8a + 
    662256000*s8b + 12096000*s8c + 58464000*s8d + 68544000*ln2*s6*sinf + 
    2016000*s7a*sinf - 68544000*s7b*sinf + 35280000*s6*sinf^2 - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 222768000*s6*z2 + 
    21168000*li4half*sinf^2*z2 + 882000*ln2^4*sinf^2*z2 + 
    20865600*li4half*z2^2 + 1751400*ln2^4*z2^2 - 5292000*ln2^2*sinf^2*z2^2 + 
    6476400*ln2^2*z2^3 - 11995200*ln2*sinf*z2^3 + 4116000*sinf^2*z2^3 + 
    76871868*z2^4 - 116928000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    2003400*ln2^5*z3 - 74088000*li4half*sinf*z3 - 3087000*ln2^4*sinf*z3 - 
    15918000*ln2^3*z2*z3 + 18522000*ln2^2*sinf*z2*z3 + 
    18522000*ln2*sinf^2*z2*z3 - 38921400*ln2*z2^2*z3 + 
    78535800*sinf*z2^2*z3 + 47344500*ln2^2*z3^2 - 45549000*ln2*sinf*z3^2 - 
    23814000*sinf^2*z3^2 + 22459500*z2*z3^2 + 45570000*ln2^3*z5 - 
    68355000*ln2*sinf^2*z5 + 138159000*ln2*z2*z5 + 215460000*sinf*z2*z5 - 
    302927625*z3*z5 - 767371500*ln2*z7 - 537224625*sinf*z7)/28224000, 
 H[1, 1, 0, 1, 1, 1, -1, 1, 1] -> (-42336000*li4half^2 - 987840000*li8half + 
    141120000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 68600*ln2^8 + 
    88704000*ln2^2*s6 - 298654650*s8a - 1104768000*s8b - 177408000*s8c - 
    34272000*s8d - 112896000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf - 56000*ln2^7*sinf + 68544000*ln2*s6*sinf - 
    68544000*s7a*sinf - 26208000*s7b*sinf - 84672000*li6half*sinf^2 + 
    7056000*li4half*ln2^2*sinf^2 + 176400*ln2^6*sinf^2 + 3528000*s6*sinf^2 - 
    56448000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 + 568400*ln2^6*z2 + 170856000*s6*z2 - 
    56448000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 + 
    1176000*ln2^5*sinf*z2 + 49392000*li4half*sinf^2*z2 - 
    1470000*ln2^4*sinf^2*z2 + 79228800*li4half*z2^2 - 2049600*ln2^4*z2^2 + 
    14347200*ln2^3*sinf*z2^2 - 2646000*ln2^2*sinf^2*z2^2 - 
    44024400*ln2^2*z2^3 - 69098400*ln2*sinf*z2^3 + 4838400*sinf^2*z2^3 + 
    113365656*z2^4 + 266112000*li5half*z3 - 2217600*ln2^5*z3 - 
    176400000*li4half*sinf*z3 - 7350000*ln2^4*sinf*z3 + 
    22176000*ln2^3*z2*z3 + 44100000*ln2^2*sinf*z2*z3 + 
    196257600*ln2*z2^2*z3 + 132955200*sinf*z2^2*z3 + 24948000*ln2^2*z3^2 - 
    85680000*ln2*sinf*z3^2 - 13671000*sinf^2*z3^2 + 180243000*z2*z3^2 - 
    41013000*ln2^2*sinf*z5 + 532224000*ln2*z2*z5 + 75663000*sinf*z2*z5 - 
    477335250*z3*z5 - 187180875*sinf*z7)/28224000, 
 H[1, 1, 0, 1, 1, 1, -1, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    12096000*ln2^2*s6 + 47590200*s8a - 1257984000*s8b + 24192000*s8c - 
    221760000*s8d - 64512000*ln2*s6*sinf + 64512000*s7a*sinf + 
    78624000*s7b*sinf + 112896000*li6half*sinf^2 + 156800*ln2^6*sinf^2 - 
    21168000*s6*sinf^2 + 508032000*li6half*z2 + 338688000*li5half*ln2*z2 - 
    2116800*ln2^6*z2 + 690480000*s6*z2 + 225792000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 1646400*ln2^5*sinf*z2 - 
    70560000*li4half*sinf^2*z2 - 5292000*ln2^4*sinf^2*z2 - 
    208051200*li4half*z2^2 + 3679200*ln2^4*z2^2 + 8232000*ln2^3*sinf*z2^2 - 
    1058400*ln2^2*sinf^2*z2^2 - 12247200*ln2^2*z2^3 + 
    151250400*ln2*sinf*z2^3 - 201600*sinf^2*z2^3 - 136337328*z2^4 - 
    36288000*li5half*z3 + 302400*ln2^5*z3 + 246960000*li4half*sinf*z3 + 
    10290000*ln2^4*sinf*z3 - 3024000*ln2^3*z2*z3 - 
    61740000*ln2^2*sinf*z2*z3 - 26762400*ln2*z2^2*z3 - 
    190713600*sinf*z2^2*z3 - 3402000*ln2^2*z3^2 + 80640000*ln2*sinf*z3^2 + 
    6174000*sinf^2*z3^2 + 29484000*z2*z3^2 - 13671000*ln2^2*sinf*z5 - 
    72576000*ln2*z2*z5 - 229635000*sinf*z2*z5 + 554967000*z3*z5 + 
    306865125*sinf*z7)/56448000, H[1, 1, 0, 1, 1, 1, -1, -1, 1] -> 
  (5644800*li4half^2 - 214502400*li7half*ln2 - 107251200*li6half*ln2^2 - 
    20697600*li5half*ln2^3 - 940800*li4half*ln2^4 + 17080*ln2^8 - 
    34675200*ln2^2*s6 + 8064000*ln2*s7a + 10886400*ln2*s7b + 77107275*s8a + 
    429508800*s8b + 50400000*s8c + 42739200*s8d - 124185600*li7half*sinf - 
    101606400*li6half*ln2*sinf - 39513600*li5half*ln2^2*sinf - 
    3763200*li4half*ln2^3*sinf + 56000*ln2^7*sinf - 806400*ln2*s6*sinf - 
    2016000*s7a*sinf - 10483200*s7b*sinf - 28224000*li6half*sinf^2 - 
    16934400*li5half*ln2*sinf^2 - 2822400*li4half*ln2^2*sinf^2 - 
    15680*ln2^6*sinf^2 - 9878400*s6*sinf^2 + 79027200*li6half*z2 + 
    56448000*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 - 156800*ln2^6*z2 - 
    120758400*s6*z2 + 16934400*li5half*sinf*z2 + 5644800*li4half*ln2*sinf*
     z2 - 658560*ln2^5*sinf*z2 + 2822400*li4half*sinf^2*z2 + 
    1058400*ln2^4*sinf^2*z2 + 4878720*li4half*z2^2 + 1955520*ln2^4*z2^2 - 
    4515840*ln2^3*sinf*z2^2 + 352800*ln2^2*sinf^2*z2^2 + 
    16057440*ln2^2*z2^3 + 1270080*ln2*sinf*z2^3 + 4152960*sinf^2*z2^3 - 
    4963824*z2^4 - 120758400*li5half*z3 - 1411200*li4half*ln2*z3 + 
    947520*ln2^5*z3 - 8467200*li4half*sinf*z3 - 352800*ln2^4*sinf*z3 - 
    9710400*ln2^3*z2*z3 + 2116800*ln2^2*sinf*z2*z3 + 
    8467200*ln2*sinf^2*z2*z3 - 67387320*ln2*z2^2*z3 + 9011520*sinf*z2^2*z3 - 
    1417500*ln2^2*z3^2 - 11340000*ln2*sinf*z3^2 + 1234800*sinf^2*z3^2 - 
    52397100*z2*z3^2 - 4557000*ln2^3*z5 + 2734200*ln2^2*sinf*z5 - 
    5468400*ln2*sinf^2*z5 - 172330200*ln2*z2*z5 + 36527400*sinf*z2*z5 + 
    104745375*z3*z5 + 74105325*ln2*z7 + 16877700*sinf*z7)/11289600, 
 H[1, 1, 0, 1, 1, 0, 1, 1, 1] -> (-40*sinf^2*z2^3 - 464*z2^4 - 
    840*sinf*z2^2*z3 + 175*sinf^2*z3^2 - 175*z2*z3^2 + 4200*z3*z5 + 
    2100*sinf*z7)/700, H[1, 1, 0, 1, 1, 0, 1, 0, 1] -> 
  (27300*s8a - 7150*sinf^2*z2^3 - 9842*z2^4 + 21000*sinf*z2^2*z3 + 
    10500*sinf^2*z3^2 - 52500*z2*z3^2 - 94500*sinf*z2*z5 - 21000*z3*z5 + 
    196875*sinf*z7)/21000, H[1, 1, 0, 1, 1, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    47040000*ln2^2*s6 - 12096000*ln2*s7a - 82656000*ln2*s7b + 121509150*s8a + 
    581280000*s8b + 118272000*s8c + 22848000*s8d - 38976000*ln2*s6*sinf + 
    38976000*s7a*sinf - 31584000*s7b*sinf - 9408000*s6*sinf^2 + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 106848000*s6*z2 - 
    4704000*li4half*sinf^2*z2 - 196000*ln2^4*sinf^2*z2 + 
    38908800*li4half*z2^2 - 142800*ln2^4*z2^2 + 1176000*ln2^2*sinf^2*z2^2 + 
    1075200*ln2^2*z2^3 - 51996000*ln2*sinf*z2^3 - 2788800*sinf^2*z2^3 + 
    14323224*z2^4 - 45696000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1677200*ln2^5*z3 - 2352000*li4half*sinf*z3 - 98000*ln2^4*sinf*z3 + 
    8540000*ln2^3*z2*z3 + 588000*ln2^2*sinf*z2*z3 - 
    24696000*ln2*sinf^2*z2*z3 - 62210400*ln2*z2^2*z3 + 
    19370400*sinf*z2^2*z3 - 17346000*ln2^2*z3^2 + 77532000*ln2*sinf*z3^2 + 
    7056000*sinf^2*z3^2 - 132510000*z2*z3^2 + 91140000*ln2^3*z5 + 
    136710000*ln2^2*sinf*z5 + 68355000*ln2*sinf^2*z5 - 77175000*ln2*z2*z5 + 
    26628000*sinf*z2*z5 + 82509000*z3*z5 - 384528375*ln2*z7 - 
    5992875*sinf*z7)/18816000, H[1, 1, 0, 1, 1, 0, 0, 1, 1] -> 
  (23800*s8a - 1300*sinf^2*z2^3 - 8812*z2^4 - 23800*sinf*z2^2*z3 + 
    7000*sinf^2*z3^2 + 63000*sinf*z2*z5 + 77000*z3*z5 - 58625*sinf*z7)/14000, 
 H[1, 1, 0, 1, 1, 0, 0, 0, 1] -> (-6300*s8a - 40*sinf^2*z2^3 + 807*z2^4 + 
    1260*sinf*z2^2*z3 - 2100*sinf^2*z3^2 + 4200*z2*z3^2 + 2100*sinf*z2*z5 - 
    14700*z3*z5 + 2625*sinf*z7)/4200, H[1, 1, 0, 1, 1, 0, 0, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    13104000*ln2^2*s6 + 26208000*ln2*s7a + 12096000*ln2*s7b + 2058525*s8a - 
    16632000*s8b - 12096000*s8c + 26208000*s8d + 44352000*ln2*s6*sinf - 
    30240000*s7a*sinf - 44352000*s7b*sinf + 7056000*s6*sinf^2 - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 73584000*s6*z2 + 
    21168000*li4half*sinf^2*z2 + 882000*ln2^4*sinf^2*z2 + 
    14414400*li4half*z2^2 + 1482600*ln2^4*z2^2 - 5292000*ln2^2*sinf^2*z2^2 + 
    1638000*ln2^2*z2^3 - 7761600*ln2*sinf*z2^3 - 5670000*sinf^2*z2^3 - 
    32011416*z2^4 - 52416000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    1465800*ln2^5*z3 - 74088000*li4half*sinf*z3 - 3087000*ln2^4*sinf*z3 - 
    10542000*ln2^3*z2*z3 + 18522000*ln2^2*sinf*z2*z3 + 
    18522000*ln2*sinf^2*z2*z3 - 8530200*ln2*z2^2*z3 + 32772600*sinf*z2^2*z3 + 
    27184500*ln2^2*z3^2 - 52353000*ln2*sinf*z3^2 - 3528000*sinf^2*z3^2 + 
    18553500*z2*z3^2 + 9114000*ln2^3*z5 - 13671000*ln2*sinf^2*z5 + 
    28539000*ln2*z2*z5 + 176148000*sinf*z2*z5 + 133252875*z3*z5 + 
    243628875*ln2*z7 - 336120750*sinf*z7)/14112000, 
 H[1, 1, 0, 1, 1, 0, -1, 1, 1] -> (53088000*ln2^2*s6 + 221025*s8a - 
    360024000*s8b - 35616000*s8c - 34944000*s8d - 26880000*ln2*s6*sinf + 
    26880000*s7a*sinf + 97440000*s7b*sinf - 25872000*s6*sinf^2 + 
    95760000*s6*z2 - 37632000*li4half*sinf^2*z2 - 1568000*ln2^4*sinf^2*z2 - 
    59673600*li4half*z2^2 - 2486400*ln2^4*z2^2 + 9408000*ln2^2*sinf^2*z2^2 + 
    1696800*ln2^2*z2^3 + 63520800*ln2*sinf*z2^3 + 6501600*sinf^2*z2^3 - 
    18934296*z2^4 + 69888000*li5half*z3 - 582400*ln2^5*z3 + 
    150528000*li4half*sinf*z3 + 6272000*ln2^4*sinf*z3 + 5824000*ln2^3*z2*z3 - 
    37632000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 + 
    34049400*ln2*z2^2*z3 - 135970800*sinf*z2^2*z3 - 11823000*ln2^2*z3^2 + 
    33600000*ln2*sinf*z3^2 + 24034500*sinf^2*z3^2 + 33253500*z2*z3^2 - 
    45570000*ln2^3*z5 - 136710000*ln2^2*sinf*z5 + 74214000*ln2*z2*z5 - 
    220080000*sinf*z2*z5 + 171877125*z3*z5 + 529900875*sinf*z7)/18816000, 
 H[1, 1, 0, 1, 1, 0, -1, 0, 1] -> (-2773575*s8a + 7560000*s6*z2 - 
    28400*sinf^2*z2^3 + 2244668*z2^4 + 2331000*sinf*z2^2*z3 - 
    525000*sinf^2*z3^2 - 3039750*z2*z3^2 - 14647500*ln2*z2*z5 - 
    5995500*sinf*z2*z5 - 8982750*z3*z5 + 8069250*sinf*z7)/1344000, 
 H[1, 1, 0, 1, 1, 0, -1, -1, 1] -> (7123200*ln2^2*s6 - 14246400*ln2*s7a + 
    16800000*ln2*s7b - 25702425*s8a - 143169600*s8b - 16800000*s8c - 
    14246400*s8d - 9676800*ln2*s6*sinf - 7257600*s7a*sinf + 
    9676800*s7b*sinf - 1411200*s6*sinf^2 + 53894400*s6*z2 - 
    2849280*li4half*z2^2 - 118720*ln2^4*z2^2 - 2136960*ln2^2*z2^3 + 
    1693440*ln2*sinf*z2^3 - 346080*sinf^2*z2^3 - 846072*z2^4 + 
    28492800*li5half*z3 - 237440*ln2^5*z3 + 2374400*ln2^3*z2*z3 + 
    14989800*ln2*z2^2*z3 - 3593520*sinf*z2^2*z3 - 8904000*ln2^2*z3^2 - 
    2721600*ln2*sinf*z3^2 + 749700*sinf^2*z3^2 + 14599200*z2*z3^2 - 
    20050800*ln2^3*z5 + 2734200*ln2*sinf^2*z5 - 19059600*ln2*z2*z5 - 
    31689000*sinf*z2*z5 - 27080025*z3*z5 + 123588675*ln2*z7 + 
    51732450*sinf*z7)/3763200, H[1, 1, 0, 1, 1, -1, 1, 1, 1] -> 
  (-725760*li4half^2 + 3386880*li8half + 161280*li5half*ln2^3 - 
    1451520*li7half*sinf + 80640*li4half*ln2^3*sinf + 3648*ln2^7*sinf - 
    691200*ln2*s6*sinf + 691200*s7a*sinf + 933120*s7b*sinf + 
    806400*li6half*sinf^2 + 1120*ln2^6*sinf^2 - 806400*li6half*z2 - 
    483840*li5half*ln2*z2 - 1120*ln2^6*z2 - 241920*li4half*ln2*sinf*z2 - 
    36288*ln2^5*sinf*z2 - 483840*li4half*sinf^2*z2 - 6720*ln2^4*sinf^2*z2 - 
    677376*li4half*z2^2 + 6720*ln2^4*z2^2 + 44352*ln2^3*sinf*z2^2 + 
    10080*ln2^2*sinf^2*z2^2 - 10080*ln2^2*z2^3 + 301536*ln2*sinf*z2^3 + 
    846720*li5half*z3 + 2358720*li4half*sinf*z3 + 115920*ln2^4*sinf*z3 + 
    11760*ln2^3*sinf^2*z3 - 11760*ln2^3*z2*z3 - 695520*ln2^2*sinf*z2*z3 - 
    35280*ln2*sinf^2*z2*z3 + 35280*ln2*z2^2*z3 - 1311552*sinf*z2^2*z3 + 
    864000*ln2*sinf*z3^2 + 30870*sinf^2*z3^2 - 30870*z2*z3^2 - 
    234360*ln2^2*sinf*z5 - 2748600*sinf*z2*z5 + 7319565*sinf*z7)/161280, 
 H[1, 1, 0, 1, 1, -1, 1, 0, 1] -> 
  (254016000*li4half^2 + 21168000*li4half*ln2^4 + 441000*ln2^8 - 
    143136000*ln2^2*s6 + 496162800*s8a + 2535120000*s8b + 286272000*s8c + 
    306432000*s8d + 302400000*ln2*s6*sinf - 302400000*s7a*sinf - 
    34272000*s7b*sinf - 338688000*li6half*sinf^2 - 470400*ln2^6*sinf^2 - 
    91728000*s6*sinf^2 + 451584000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 980000*ln2^6*z2 - 775152000*s6*z2 - 
    225792000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    5409600*ln2^5*sinf*z2 + 84672000*li4half*sinf^2*z2 + 
    10584000*ln2^4*sinf^2*z2 + 116323200*li4half*z2^2 - 16909200*ln2^4*z2^2 - 
    71736000*ln2^3*sinf*z2^2 + 13759200*ln2^2*sinf^2*z2^2 + 
    71164800*ln2^2*z2^3 - 119700000*ln2*sinf*z2^3 + 5342400*sinf^2*z2^3 - 
    144252072*z2^4 - 725760000*li5half*z3 + 6048000*ln2^5*z3 - 
    508032000*li4half*sinf*z3 - 21168000*ln2^4*sinf*z3 - 
    31668000*ln2^3*z2*z3 + 176400000*ln2^2*sinf*z2*z3 + 
    12348000*ln2*sinf^2*z2*z3 - 374724000*ln2*z2^2*z3 + 
    201423600*sinf*z2^2*z3 - 40257000*ln2^2*z3^2 - 378000000*ln2*sinf*z3^2 + 
    82026000*sinf^2*z3^2 - 534429000*z2*z3^2 - 259749000*ln2^2*sinf*z5 - 
    858816000*ln2*z2*z5 + 66717000*sinf*z2*z5 + 1119069000*z3*z5 + 
    61338375*sinf*z7)/56448000, H[1, 1, 0, 1, 1, -1, 1, -1, 1] -> 
  (-42336000*li4half^2 - 451584000*li8half + 254016000*li7half*ln2 + 
    98784000*li6half*ln2^2 - 14112000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 321300*ln2^8 + 130536000*ln2^2*s6 - 
    120960000*ln2*s7a - 163296000*ln2*s7b - 63915075*s8a - 612864000*s8b + 
    2016000*s8c - 107856000*s8d + 620928000*li7half*sinf + 
    197568000*li6half*ln2*sinf + 42336000*li5half*ln2^2*sinf - 
    14112000*li4half*ln2^3*sinf - 789600*ln2^7*sinf - 86688000*ln2*s6*sinf + 
    107856000*s7a*sinf - 68544000*s7b*sinf - 14112000*li6half*sinf^2 + 
    42336000*li5half*ln2*sinf^2 - 372400*ln2^6*sinf^2 - 21168000*s6*sinf^2 - 
    84672000*li6half*z2 + 84672000*li4half*ln2^2*z2 + 4194400*ln2^6*z2 + 
    279216000*s6*z2 - 42336000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*
     z2 + 7644000*ln2^5*sinf*z2 - 21168000*li4half*sinf^2*z2 - 
    3234000*ln2^4*sinf^2*z2 + 29232000*li4half*z2^2 - 18215400*ln2^4*z2^2 - 
    5762400*ln2^3*sinf*z2^2 + 18345600*ln2^2*sinf^2*z2^2 - 
    6073200*ln2^2*z2^3 - 7812000*ln2*sinf*z2^3 + 1058400*sinf^2*z2^3 + 
    60606648*z2^4 + 247464000*li5half*z3 - 243432000*li4half*ln2*z3 - 
    13440000*ln2^5*z3 + 31752000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 - 
    2058000*ln2^3*sinf^2*z3 + 95886000*ln2^3*z2*z3 + 
    10584000*ln2^2*sinf*z2*z3 - 54684000*ln2*sinf^2*z2*z3 + 
    200302200*ln2*z2^2*z3 - 10634400*sinf*z2^2*z3 - 132300000*ln2^2*z3^2 + 
    173187000*ln2*sinf*z3^2 + 24916500*sinf^2*z3^2 - 18931500*z2*z3^2 + 
    61519500*ln2^3*z5 + 232407000*ln2^2*sinf*z5 + 61519500*ln2*sinf^2*z5 + 
    351918000*ln2*z2*z5 + 145341000*sinf*z2*z5 - 49817250*z3*z5 - 
    1111579875*ln2*z7 - 649789875*sinf*z7)/28224000, 
 H[1, 1, 0, 1, 1, -1, 0, 1, 1] -> 
  (254016000*li4half^2 + 21168000*li4half*ln2^4 + 441000*ln2^8 - 
    41328000*ln2^2*s6 + 64311975*s8a + 559944000*s8b + 82656000*s8c - 
    82656000*s8d + 334656000*ln2*s6*sinf - 334656000*s7a*sinf - 
    249984000*s7b*sinf + 148176000*s6*sinf^2 + 564480000*li6half*z2 + 
    338688000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 3802400*ln2^6*z2 + 
    228816000*s6*z2 + 112896000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*
     z2 + 6115200*ln2^5*sinf*z2 + 197568000*li4half*sinf^2*z2 + 
    8232000*ln2^4*sinf^2*z2 + 137289600*li4half*z2^2 + 16892400*ln2^4*z2^2 - 
    32928000*ln2^3*sinf*z2^2 - 44100000*ln2^2*sinf^2*z2^2 - 
    52164000*ln2^2*z2^3 - 171158400*ln2*sinf*z2^3 - 41764800*sinf^2*z2^3 - 
    38900544*z2^4 - 272160000*li5half*z3 + 2268000*ln2^5*z3 - 
    896112000*li4half*sinf*z3 - 37338000*ln2^4*sinf*z3 - 
    14448000*ln2^3*z2*z3 + 248724000*ln2^2*sinf*z2*z3 + 
    24696000*ln2*sinf^2*z2*z3 - 92673000*ln2*z2^2*z3 + 
    470005200*sinf*z2^2*z3 - 11623500*ln2^2*z3^2 - 418320000*ln2*sinf*z3^2 - 
    72103500*sinf^2*z3^2 - 38619000*z2*z3^2 - 82026000*ln2^2*sinf*z5 - 
    247968000*ln2*z2*z5 + 711396000*sinf*z2*z5 - 529601625*z3*z5 - 
    1893606750*sinf*z7)/56448000, H[1, 1, 0, 1, 1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    1008000*ln2^2*s6 - 10658025*s8a - 21000000*s8b - 2016000*s8c + 
    2016000*s8d - 44352000*ln2*s6*sinf + 44352000*s7a*sinf - 
    2688000*s7b*sinf - 11760000*s6*sinf^2 + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 5376000*s6*z2 + 37632000*li5half*sinf*z2 - 
    313600*ln2^5*sinf*z2 - 9408000*li4half*sinf^2*z2 - 
    392000*ln2^4*sinf^2*z2 - 8064000*li4half*z2^2 - 2100000*ln2^4*z2^2 + 
    3136000*ln2^3*sinf*z2^2 + 7644000*ln2^2*sinf^2*z2^2 + 
    3578400*ln2^2*z2^3 + 6619200*ln2*sinf*z2^3 + 3180800*sinf^2*z2^3 + 
    4923096*z2^4 + 19488000*li5half*z3 - 162400*ln2^5*z3 + 
    68208000*li4half*sinf*z3 + 2842000*ln2^4*sinf*z3 + 1624000*ln2^3*z2*z3 - 
    17052000*ln2^2*sinf*z2*z3 + 3053400*ln2*z2^2*z3 - 27098400*sinf*z2^2*z3 + 
    283500*ln2^2*z3^2 + 55440000*ln2*sinf*z3^2 + 73500*sinf^2*z3^2 + 
    10699500*z2*z3^2 + 45570000*ln2^2*sinf*z5 + 6048000*ln2*z2*z5 - 
    5187000*sinf*z2*z5 - 13484625*z3*z5 - 12600000*sinf*z7)/9408000, 
 H[1, 1, 0, 1, 1, -1, 0, -1, 1] -> 
  (211680000*li4half^2 - 2257920000*li8half - 1354752000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    17640000*li4half*ln2^4 + 423500*ln2^8 + 53928000*ln2^2*s6 - 
    2016000*ln2*s7a + 364896000*ln2*s7b - 430474275*s8a - 2937816000*s8b - 
    322560000*s8c - 157248000*s8d - 1354752000*li7half*sinf - 
    677376000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    268800*ln2^7*sinf + 103824000*ln2*s6*sinf - 322560000*s7a*sinf + 
    114912000*s7b*sinf - 338688000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 + 470400*ln2^6*sinf^2 - 
    127008000*s6*sinf^2 + 818496000*li6half*z2 + 310464000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 5135200*ln2^6*z2 + 843696000*s6*z2 + 
    141120000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*z2 - 
    352800*ln2^5*sinf*z2 + 77616000*li4half*sinf^2*z2 + 
    882000*ln2^4*sinf^2*z2 - 111182400*li4half*z2^2 + 12125400*ln2^4*z2^2 + 
    1176000*ln2^3*sinf*z2^2 + 4586400*ln2^2*sinf^2*z2^2 + 
    2091600*ln2^2*z2^3 - 62748000*ln2*sinf*z2^3 + 26653200*sinf^2*z2^3 - 
    4588944*z2^4 + 39312000*li5half*z3 + 296352000*li4half*ln2*z3 + 
    12020400*ln2^5*z3 - 299880000*li4half*sinf*z3 - 12495000*ln2^4*sinf*z3 - 
    68754000*ln2^3*z2*z3 + 81144000*ln2^2*sinf*z2*z3 + 
    61740000*ln2*sinf^2*z2*z3 + 25956000*ln2*z2^2*z3 + 
    117520200*sinf*z2^2*z3 + 67646250*ln2^2*z3^2 - 353587500*ln2*sinf*z3^2 + 
    25798500*sinf^2*z3^2 + 261544500*z2*z3^2 - 344053500*ln2^3*z5 - 
    389623500*ln2^2*sinf*z5 + 34177500*ln2*sinf^2*z5 - 184023000*ln2*z2*z5 - 
    390474000*sinf*z2*z5 + 270073125*z3*z5 + 3385092375*ln2*z7 + 
    1419051375*sinf*z7)/28224000, H[1, 1, 0, 1, 1, -1, -1, 1, 1] -> 
  (254016000*li4half^2 + 225792000*li8half - 282240000*li6half*ln2^2 - 
    169344000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 298200*ln2^8 + 
    17136000*ln2^2*s6 - 82578825*s8a - 980280000*s8b - 34272000*s8c - 
    304416000*s8d + 508032000*li7half*sinf - 169344000*li5half*ln2^2*sinf - 
    84672000*li4half*ln2^3*sinf - 2217600*ln2^7*sinf + 48384000*ln2*s6*sinf - 
    48384000*s7a*sinf - 104832000*s7b*sinf + 225792000*li6half*sinf^2 - 
    42336000*li4half*ln2^2*sinf^2 - 1450400*ln2^6*sinf^2 + 
    155232000*s6*sinf^2 + 56448000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2979200*ln2^6*z2 + 622944000*s6*z2 + 
    169344000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    14817600*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 + 
    4116000*ln2^4*sinf^2*z2 - 124387200*li4half*z2^2 - 16707600*ln2^4*z2^2 - 
    17640000*ln2^3*sinf*z2^2 - 35280000*ln2^2*sinf^2*z2^2 + 
    302400*ln2^2*z2^3 + 48686400*ln2*sinf*z2^3 - 36691200*sinf^2*z2^3 + 
    36748728*z2^4 + 58464000*li5half*z3 - 2956800*ln2^5*z3 - 
    275184000*li4half*sinf*z3 - 17640000*ln2^4*sinf*z3 - 
    4116000*ln2^3*sinf^2*z3 + 21336000*ln2^3*z2*z3 + 
    81144000*ln2^2*sinf*z2*z3 - 5292000*ln2*sinf^2*z2*z3 + 
    31915800*ln2*z2^2*z3 + 112341600*sinf*z2^2*z3 - 9072000*ln2^2*z3^2 - 
    60480000*ln2*sinf*z3^2 - 52038000*sinf^2*z3^2 + 172557000*z2*z3^2 + 
    27342000*ln2^3*z5 + 95697000*ln2^2*sinf*z5 + 20790000*ln2*z2*z5 + 
    268695000*sinf*z2*z5 - 489502125*z3*z5 - 1257196500*sinf*z7)/56448000, 
 H[1, 1, 0, 1, 1, -1, -1, 0, 1] -> 
  (-423360000*li4half^2 - 35280000*li4half*ln2^4 - 735000*ln2^8 + 
    194544000*ln2^2*s6 - 468494775*s8a - 1792728000*s8b - 389088000*s8c - 
    6048000*s8d - 213696000*ln2*s6*sinf + 213696000*s7a*sinf + 
    129024000*s7b*sinf + 225792000*li6half*sinf^2 + 313600*ln2^6*sinf^2 + 
    35280000*s6*sinf^2 - 959616000*li6half*z2 - 677376000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 + 784000*ln2^6*z2 + 103824000*s6*z2 - 
    395136000*li5half*sinf*z2 - 338688000*li4half*ln2*sinf*z2 - 
    10819200*ln2^5*sinf*z2 - 98784000*li4half*sinf^2*z2 - 
    8820000*ln2^4*sinf^2*z2 + 173779200*li4half*z2^2 + 18412800*ln2^4*z2^2 + 
    72912000*ln2^3*sinf*z2^2 - 7408800*ln2^2*sinf^2*z2^2 - 
    133862400*ln2^2*z2^3 + 40017600*ln2*sinf*z2^3 - 3931200*sinf^2*z2^3 + 
    78002496*z2^4 + 830592000*li5half*z3 - 6921600*ln2^5*z3 + 
    522144000*li4half*sinf*z3 + 21756000*ln2^4*sinf*z3 + 
    40404000*ln2^3*z2*z3 - 179928000*ln2^2*sinf*z2*z3 - 
    12348000*ln2*sinf^2*z2*z3 + 504516600*ln2*z2^2*z3 - 
    235897200*sinf*z2^2*z3 + 54715500*ln2^2*z3^2 + 267120000*ln2*sinf*z3^2 - 
    16096500*sinf^2*z3^2 + 382882500*z2*z3^2 + 82026000*ln2^2*sinf*z5 + 
    1290303000*ln2*z2*z5 - 91035000*sinf*z2*z5 - 819275625*z3*z5 + 
    1047894750*sinf*z7)/56448000, H[1, 1, 0, 1, 1, -1, -1, -1, 1] -> 
  (84672000*li4half^2 - 508032000*li8half - 282240000*li7half*ln2 + 
    197568000*li6half*ln2^2 + 159936000*li5half*ln2^3 + 
    49392000*li4half*ln2^4 + 896000*ln2^8 + 21168000*ln2^2*s6 - 
    8064000*ln2*s7a + 344736000*ln2*s7b - 227834775*s8a - 1279656000*s8b - 
    195552000*s8c - 16128000*s8d - 1016064000*li7half*sinf - 
    169344000*li6half*ln2*sinf + 141120000*li5half*ln2^2*sinf + 
    84672000*li4half*ln2^3*sinf + 2318400*ln2^7*sinf + 86688000*ln2*s6*sinf - 
    256032000*s7a*sinf + 209664000*s7b*sinf - 254016000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 + 42336000*li4half*ln2^2*sinf^2 + 
    1646400*ln2^6*sinf^2 - 127008000*s6*sinf^2 + 338688000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 211680000*li4half*ln2^2*z2 - 
    9604000*ln2^6*z2 + 349776000*s6*z2 + 28224000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 13876800*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 - 1176000*ln2^4*sinf^2*z2 - 
    39916800*li4half*z2^2 + 31794000*ln2^4*z2^2 + 11524800*ln2^3*sinf*z2^2 + 
    16934400*ln2^2*sinf^2*z2^2 - 15120000*ln2^2*z2^3 - 
    41428800*ln2*sinf*z2^3 + 24494400*sinf^2*z2^3 - 64437264*z2^4 + 
    25200000*li5half*z3 + 338688000*li4half*ln2*z3 + 16371600*ln2^5*z3 - 
    91728000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 + 
    4116000*ln2^3*sinf^2*z3 - 99036000*ln2^3*z2*z3 + 
    10584000*ln2^2*sinf*z2*z3 + 42336000*ln2*sinf^2*z2*z3 - 
    74529000*ln2*z2^2*z3 - 5065200*sinf*z2^2*z3 + 50715000*ln2^2*z3^2 - 
    281232000*ln2*sinf*z3^2 + 33736500*sinf^2*z3^2 + 125055000*z2*z3^2 - 
    373674000*ln2^3*z5 - 505827000*ln2^2*sinf*z5 - 13671000*ln2*sinf^2*z5 - 
    368676000*ln2*z2*z5 - 616770000*sinf*z2*z5 + 87058125*z3*z5 + 
    2510573625*ln2*z7 + 1778143500*sinf*z7)/56448000, 
 H[1, 1, 0, 1, 0, 1, 1, 1, 1] -> (4200*s8a - 160*sinf^2*z2^3 - 3908*z2^4 - 
    3360*sinf*z2^2*z3 + 525*sinf^2*z3^2 - 525*z2*z3^2 + 21000*z3*z5 + 
    10500*sinf*z7)/1050, H[1, 1, 0, 1, 0, 1, 1, 0, 1] -> 
  (-33600*s8a + 3700*sinf^2*z2^3 + 24284*z2^4 + 26040*sinf*z2^2*z3 - 
    12600*sinf^2*z3^2 + 46200*z2*z3^2 + 46200*sinf*z2*z5 - 214200*z3*z5 - 
    152775*sinf*z7)/8400, H[1, 1, 0, 1, 0, 1, 1, -1, 1] -> 
  (42336000*li4half^2 - 1128960000*li8half - 677376000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 101500*ln2^8 - 83160000*ln2^2*s6 + 
    120960000*ln2*s7a + 163296000*ln2*s7b - 84300300*s8a - 439992000*s8b - 
    96768000*s8c + 96768000*s8d - 677376000*li7half*sinf - 
    338688000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf + 
    134400*ln2^7*sinf + 83664000*ln2*s6*sinf - 104832000*s7a*sinf + 
    50400000*s7b*sinf - 169344000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 + 235200*ln2^6*sinf^2 - 59976000*s6*sinf^2 + 
    338688000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 1430800*ln2^6*z2 - 122976000*s6*z2 + 
    56448000*li5half*sinf*z2 - 940800*ln2^5*sinf*z2 + 
    35280000*li4half*sinf^2*z2 + 294000*ln2^4*sinf^2*z2 + 
    7358400*li4half*z2^2 + 5304600*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 + 
    5821200*ln2^2*sinf^2*z2^2 + 34146000*ln2^2*z2^3 + 7761600*ln2*sinf*z2^3 + 
    19118400*sinf^2*z2^3 - 1129488*z2^4 - 292320000*li5half*z3 + 
    74088000*li4half*ln2*z3 + 5523000*ln2^5*z3 - 109368000*li4half*sinf*z3 - 
    4557000*ln2^4*sinf*z3 - 42882000*ln2^3*z2*z3 - 
    14994000*ln2^2*sinf*z2*z3 + 60858000*ln2*sinf^2*z2*z3 - 
    29773800*ln2*z2^2*z3 + 63214200*sinf*z2^2*z3 + 120928500*ln2^2*z3^2 - 
    218799000*ln2*sinf*z3^2 + 2205000*sinf^2*z3^2 + 103666500*z2*z3^2 - 
    61519500*ln2^3*z5 - 211900500*ln2^2*sinf*z5 - 61519500*ln2*sinf^2*z5 - 
    67662000*ln2*z2*z5 - 91381500*sinf*z2*z5 + 312739875*z3*z5 + 
    1111579875*ln2*z7 + 537012000*sinf*z7)/28224000, 
 H[1, 1, 0, 1, 0, 1, 0, 1, 1] -> (15*sinf^2*z2^3 + 109*z2^4 - 
    420*sinf*z2^2*z3 + 1400*z2*z3^2 + 1400*sinf*z2*z5 - 2800*z3*z5 - 
    1400*sinf*z7)/700, H[1, 1, 0, 1, 0, 1, 0, 0, 1] -> 
  (50400*s8a + 400*sinf^2*z2^3 - 25166*z2^4 - 53200*sinf*z2^2*z3 + 
    14000*sinf^2*z3^2 - 70000*z2*z3^2 - 28000*sinf*z2*z5 + 308000*z3*z5 + 
    137375*sinf*z7)/14000, H[1, 1, 0, 1, 0, 1, 0, -1, 1] -> 
  (-230400*li4half^2 - 19200*li4half*ln2^4 - 400*ln2^8 + 460800*ln2^2*s6 - 
    921600*ln2*s7a - 460800*ln2*s7b + 156600*s8a - 3096000*s8b + 460800*s8c - 
    921600*s8d - 460800*ln2*s6*sinf + 460800*s7b*sinf - 230400*s6*sinf^2 + 
    115200*li4half*ln2^2*z2 + 4800*ln2^6*z2 + 2534400*s6*z2 - 
    345600*li4half*sinf^2*z2 - 14400*ln2^4*sinf^2*z2 - 334080*li4half*z2^2 - 
    28320*ln2^4*z2^2 + 86400*ln2^2*sinf^2*z2^2 - 100800*ln2^2*z2^3 + 
    80640*ln2*sinf*z2^3 + 55440*sinf^2*z2^3 + 147348*z2^4 + 
    1843200*li5half*z3 - 403200*li4half*ln2*z3 - 32160*ln2^5*z3 + 
    1209600*li4half*sinf*z3 + 50400*ln2^4*sinf*z3 + 254400*ln2^3*z2*z3 - 
    302400*ln2^2*sinf*z2*z3 - 302400*ln2*sinf^2*z2*z3 + 442080*ln2*z2^2*z3 - 
    810720*sinf*z2^2*z3 - 752400*ln2^2*z3^2 + 928800*ln2*sinf*z3^2 + 
    187200*sinf^2*z3^2 - 716400*z2*z3^2 - 297600*ln2^3*z5 + 
    446400*ln2*sinf^2*z5 - 936000*ln2*z2*z5 - 1699200*sinf*z2*z5 + 
    521100*z3*z5 - 1193175*ln2*z7 + 3638025*sinf*z7)/115200, 
 H[1, 1, 0, 1, 0, 1, -1, 1, 1] -> (169344000*li4half^2 + 564480000*li8half - 
    169344000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 112000*ln2^8 - 
    5544000*ln2^2*s6 - 44944200*s8a - 89712000*s8b - 10080000*s8c - 
    95760000*s8d + 451584000*li7half*sinf - 112896000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 716800*ln2^7*sinf - 44352000*ln2*s6*sinf + 
    44352000*s7a*sinf - 139104000*s7b*sinf + 169344000*li6half*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 940800*ln2^6*sinf^2 + 
    81144000*s6*sinf^2 + 225792000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 313600*ln2^6*z2 + 173880000*s6*z2 + 
    112896000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 + 
    5644800*ln2^5*sinf*z2 - 28224000*li4half*sinf^2*z2 + 
    2352000*ln2^4*sinf^2*z2 - 126403200*li4half*z2^2 - 4090800*ln2^4*z2^2 - 
    18816000*ln2^3*sinf*z2^2 - 22226400*ln2^2*sinf^2*z2^2 + 
    705600*ln2^2*z2^3 + 38656800*ln2*sinf*z2^3 - 13213200*sinf^2*z2^3 + 
    12443628*z2^4 - 203616000*li5half*z3 + 1696800*ln2^5*z3 + 
    28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 - 16968000*ln2^3*z2*z3 + 
    77616000*ln2^2*sinf*z2*z3 - 5292000*ln2*sinf^2*z2*z3 - 
    2431800*ln2*z2^2*z3 + 37170000*sinf*z2^2*z3 - 20853000*ln2^2*z3^2 + 
    55440000*ln2*sinf*z3^2 - 27562500*sinf^2*z3^2 + 82750500*z2*z3^2 + 
    54684000*ln2^3*z5 + 259749000*ln2^2*sinf*z5 - 133812000*ln2*z2*z5 + 
    332325000*sinf*z2*z5 - 212310000*z3*z5 - 1198834875*sinf*z7)/28224000, 
 H[1, 1, 0, 1, 0, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 1478400*s8a + 504000*s8b - 8064000*s8c + 8064000*s8d - 
    2496000*ln2*s6*sinf + 2496000*s7a*sinf + 2496000*s7b*sinf - 
    24192000*li6half*z2 - 16128000*li5half*ln2*z2 + 100800*ln2^6*z2 - 
    23016000*s6*z2 - 16128000*li5half*sinf*z2 - 8064000*li4half*ln2*sinf*z2 - 
    201600*ln2^5*sinf*z2 + 1344000*li4half*sinf^2*z2 + 
    56000*ln2^4*sinf^2*z2 + 9676800*li4half*z2^2 + 67200*ln2^4*z2^2 + 
    672000*ln2^3*sinf*z2^2 - 336000*ln2^2*sinf^2*z2^2 - 2217600*ln2^2*z2^3 - 
    2450400*ln2*sinf*z2^3 - 389200*sinf^2*z2^3 - 3028664*z2^4 + 
    12096000*li5half*z3 - 100800*ln2^5*z3 - 2016000*li4half*sinf*z3 - 
    84000*ln2^4*sinf*z3 + 1008000*ln2^3*z2*z3 + 504000*ln2^2*sinf*z2*z3 + 
    5896800*ln2*z2^2*z3 - 2574000*sinf*z2^2*z3 + 1134000*ln2^2*z3^2 + 
    3120000*ln2*sinf*z3^2 + 546000*sinf^2*z3^2 + 3370500*z2*z3^2 + 
    35910000*ln2*z2*z5 + 6108000*sinf*z2*z5 + 5691000*z3*z5 + 
    23331375*sinf*z7)/1344000, H[1, 1, 0, 1, 0, 1, -1, -1, 1] -> 
  (-112896000*li4half^2 + 1128960000*li8half + 1354752000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 188160000*li5half*ln2^3 + 
    18816000*li4half*ln2^4 + 112000*ln2^8 + 149184000*ln2^2*s6 - 
    225792000*ln2*s7a - 211680000*ln2*s7b + 214329150*s8a + 161280000*s8b + 
    237888000*s8c - 223776000*s8d + 451584000*li7half*sinf + 
    677376000*li6half*ln2*sinf + 338688000*li5half*ln2^2*sinf + 
    75264000*li4half*ln2^3*sinf + 1164800*ln2^7*sinf + 18144000*ln2*s6*sinf + 
    24192000*s7a*sinf + 179424000*s7b*sinf + 112896000*li5half*ln2*sinf^2 + 
    56448000*li4half*ln2^2*sinf^2 + 1411200*ln2^6*sinf^2 - 
    70560000*s6*sinf^2 - 338688000*li6half*z2 - 451584000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 2038400*ln2^6*z2 + 489888000*s6*z2 - 
    112896000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    6585600*ln2^5*sinf*z2 - 112896000*li4half*sinf^2*z2 - 
    9408000*ln2^4*sinf^2*z2 - 50400000*li4half*z2^2 + 2604000*ln2^4*z2^2 + 
    18816000*ln2^3*sinf*z2^2 + 57506400*ln2^2*sinf^2*z2^2 - 
    17589600*ln2^2*z2^3 + 18799200*ln2*sinf*z2^3 + 18312000*sinf^2*z2^3 + 
    14892384*z2^4 + 701568000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    4670400*ln2^5*z3 + 395136000*li4half*sinf*z3 + 16464000*ln2^4*sinf*z3 + 
    51408000*ln2^3*z2*z3 - 183456000*ln2^2*sinf*z2*z3 - 
    111132000*ln2*sinf^2*z2*z3 + 43596000*ln2*z2^2*z3 - 
    274201200*sinf*z2^2*z3 - 140175000*ln2^2*z3^2 + 292194000*ln2*sinf*z3^2 + 
    63945000*sinf^2*z3^2 - 350847000*z2*z3^2 - 113925000*ln2^3*z5 - 
    287091000*ln2^2*sinf*z5 + 27342000*ln2*sinf^2*z5 + 17073000*ln2*z2*z5 - 
    559251000*sinf*z2*z5 - 74544750*z3*z5 - 2002084875*ln2*z7 + 
    962710875*sinf*z7)/56448000, H[1, 1, 0, 1, 0, 0, 1, 1, 1] -> 
  (-96600*s8a + 10600*sinf^2*z2^3 + 127064*z2^4 + 142800*sinf*z2^2*z3 - 
    31500*sinf^2*z3^2 + 31500*z2*z3^2 - 714000*z3*z5 - 469875*sinf*z7)/42000, 
 H[1, 1, 0, 1, 0, 0, 1, 0, 1] -> (-56700*s8a - 12600*sinf^2*z2^3 - 
    2077*z2^4 + 21000*sinf*z2^2*z3 + 21000*sinf^2*z3^2 - 42000*z2*z3^2 - 
    94500*sinf*z2*z5 + 42000*z3*z5 + 196875*sinf*z7)/21000, 
 H[1, 1, 0, 1, 0, 0, 1, -1, 1] -> (20496000*ln2^2*s6 - 22176000*ln2*s7a + 
    17808000*ln2*s7b - 47537700*s8a - 227052000*s8b - 20160000*s8c - 
    36288000*s8d - 8064000*ln2*s6*sinf - 15456000*s7a*sinf + 
    24528000*s7b*sinf + 2352000*s6*sinf^2 + 110208000*s6*z2 - 
    7257600*li4half*z2^2 - 302400*ln2^4*z2^2 - 5854800*ln2^2*z2^3 + 
    4914000*ln2*sinf*z2^3 - 427000*sinf^2*z2^3 + 9685258*z2^4 + 
    72576000*li5half*z3 - 604800*ln2^5*z3 + 6048000*ln2^3*z2*z3 - 
    4410000*ln2*sinf^2*z2*z3 + 36939000*ln2*z2^2*z3 - 4935000*sinf*z2^2*z3 - 
    22018500*ln2^2*z3^2 - 13587000*ln2*sinf*z3^2 + 588000*sinf^2*z3^2 + 
    23572500*z2*z3^2 - 36456000*ln2^3*z5 - 31899000*ln2^2*sinf*z5 + 
    6835500*ln2*sinf^2*z5 - 45559500*ln2*z2*z5 - 80136000*sinf*z2*z5 - 
    112741125*z3*z5 + 148283625*ln2*z7 + 130777500*sinf*z7)/4704000, 
 H[1, 1, 0, 1, 0, 0, 0, 1, 1] -> (12600*s8a + 10000*sinf^2*z2^3 - 
    20874*z2^4 + 8400*sinf*z2^2*z3 - 21000*sinf^2*z3^2 - 63000*z2*z3^2 - 
    231000*sinf*z2*z5 + 294000*z3*z5 + 301875*sinf*z7)/42000, 
 H[1, 1, 0, 1, 0, 0, 0, 0, 1] -> (3675*s8a + 3000*sinf^2*z2^3 + 1028*z2^4 + 
    4200*sinf*z2^2*z3 + 5250*z2*z3^2 + 21000*sinf*z2*z5 - 31500*z3*z5 - 
    57750*sinf*z7)/5250, H[1, 1, 0, 1, 0, 0, 0, -1, 1] -> 
  (-6720000*ln2^2*s6 + 13440000*ln2*s7a - 5376000*ln2*s7b + 21468300*s8a + 
    126168000*s8b + 5376000*s8c + 13440000*s8d + 5376000*ln2*s6*sinf + 
    13440000*s7a*sinf - 5376000*s7b*sinf + 9408000*s6*sinf^2 - 
    55104000*s6*z2 + 2688000*li4half*z2^2 + 112000*ln2^4*z2^2 + 
    2016000*ln2^2*z2^3 - 940800*ln2*sinf*z2^3 + 2903600*sinf^2*z2^3 + 
    1299948*z2^4 - 26880000*li5half*z3 + 224000*ln2^5*z3 - 
    2240000*ln2^3*z2*z3 - 11457600*ln2*z2^2*z3 + 1545600*sinf*z2^2*z3 + 
    8400000*ln2^2*z3^2 + 1512000*ln2*sinf*z3^2 - 5292000*sinf^2*z3^2 + 
    84000*z2*z3^2 + 12152000*ln2^3*z5 - 18228000*ln2*sinf^2*z5 + 
    36708000*ln2*z2*z5 + 21672000*sinf*z2*z5 + 1806000*z3*z5 - 
    119555625*ln2*z7 - 32017125*sinf*z7)/4704000, 
 H[1, 1, 0, 1, 0, 0, -1, 1, 1] -> (-2688000*ln2^2*s6 + 2563575*s8a + 
    9912000*s8b + 672000*s8c + 4032000*s8d - 2112000*ln2*s6*sinf + 
    2112000*s7a*sinf - 2592000*s7b*sinf - 1680000*s6*sinf^2 - 6384000*s6*z2 + 
    806400*li4half*z2^2 + 33600*ln2^4*z2^2 + 722400*ln2^2*z2^3 - 
    631200*ln2*sinf*z2^3 + 8800*sinf^2*z2^3 - 1865128*z2^4 - 
    8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 + 
    1260000*ln2*sinf^2*z2*z3 - 4498200*ln2*z2^2*z3 + 778800*sinf*z2^2*z3 + 
    2331000*ln2^2*z3^2 + 2640000*ln2*sinf*z3^2 - 52500*sinf^2*z3^2 - 
    3979500*z2*z3^2 + 3038000*ln2^3*z5 + 9114000*ln2^2*sinf*z5 - 
    42000*ln2*z2*z5 + 3204000*sinf*z2*z5 + 22414875*z3*z5 - 7212375*sinf*z7)/
   1344000, H[1, 1, 0, 1, 0, 0, -1, 0, 1] -> 
  (-1407525*s8a - 3528000*s6*z2 - 190800*sinf^2*z2^3 - 19684*z2^4 + 
    1407000*sinf*z2^2*z3 + 63000*sinf^2*z3^2 + 2777250*z2*z3^2 + 
    6835500*ln2*z2*z5 + 2047500*sinf*z2*z5 - 8667750*z3*z5 - 4966500*sinf*z7)/
   672000, H[1, 1, 0, 1, 0, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    122976000*ln2^2*s6 + 245952000*ln2*s7a - 22176000*ln2*s7b + 
    137524275*s8a + 1256472000*s8b + 22176000*s8c + 245952000*s8d + 
    120960000*ln2*s6*sinf + 48384000*s7a*sinf - 120960000*s7b*sinf + 
    35280000*s6*sinf^2 - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    745920000*s6*z2 + 42336000*li4half*sinf^2*z2 + 1764000*ln2^4*sinf^2*z2 + 
    67536000*li4half*z2^2 + 4578000*ln2^4*z2^2 - 10584000*ln2^2*sinf^2*z2^2 + 
    32306400*ln2^2*z2^3 - 21168000*ln2*sinf*z2^3 - 4569600*sinf^2*z2^3 - 
    48759576*z2^4 - 491904000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    6157200*ln2^5*z3 - 148176000*li4half*sinf*z3 - 6174000*ln2^4*sinf*z3 - 
    53340000*ln2^3*z2*z3 + 37044000*ln2^2*sinf*z2*z3 + 
    37044000*ln2*sinf^2*z2*z3 - 174094200*ln2*z2^2*z3 + 
    112744800*sinf*z2^2*z3 + 175329000*ln2^2*z3^2 - 95634000*ln2*sinf*z3^2 - 
    26680500*sinf^2*z3^2 + 23499000*z2*z3^2 + 173166000*ln2^3*z5 - 
    68355000*ln2*sinf^2*z5 + 239400000*ln2*z2*z5 + 428967000*sinf*z2*z5 + 
    270561375*z3*z5 - 249535125*ln2*z7 - 786948750*sinf*z7)/28224000, 
 H[1, 1, 0, 1, 0, -1, 1, 1, 1] -> (24192000*li4half^2 - 16128000*li8half - 
    2688000*li5half*ln2^3 - 20000*ln2^8 + 4032000*ln2^2*s6 - 1392300*s8a + 
    50400000*s8b - 8064000*s8c + 17136000*s8d - 16128000*li7half*sinf - 
    2688000*li4half*ln2^3*sinf - 108800*ln2^7*sinf + 26064000*ln2*s6*sinf - 
    26064000*s7a*sinf - 19008000*s7b*sinf - 8064000*li6half*sinf^2 - 
    11200*ln2^6*sinf^2 + 1512000*s6*sinf^2 + 8064000*li6half*z2 + 
    8064000*li5half*ln2*z2 + 235200*ln2^6*z2 - 40320000*s6*z2 + 
    8064000*li4half*ln2*sinf*z2 + 940800*ln2^5*sinf*z2 + 
    12096000*li4half*sinf^2*z2 + 672000*ln2^4*sinf^2*z2 + 
    20361600*li4half*z2^2 - 159600*ln2^4*z2^2 - 2016000*ln2^3*sinf*z2^2 - 
    932400*ln2^2*sinf^2*z2^2 - 2361600*ln2^2*z2^3 - 12175200*ln2*sinf*z2^3 - 
    1509600*sinf^2*z2^3 - 6563328*z2^4 - 48384000*li5half*z3 - 
    302400*ln2^5*z3 - 62496000*li4half*sinf*z3 - 4368000*ln2^4*sinf*z3 - 
    1176000*ln2^3*sinf^2*z3 + 4200000*ln2^3*z2*z3 + 
    20160000*ln2^2*sinf*z2*z3 + 3528000*ln2*sinf^2*z2*z3 - 
    2469600*ln2*z2^2*z3 + 37116000*sinf*z2^2*z3 + 1134000*ln2^2*z3^2 - 
    32580000*ln2*sinf*z3^2 - 3024000*sinf^2*z3^2 + 5922000*z2*z3^2 - 
    2929500*ln2^3*z5 - 6835500*ln2^2*sinf*z5 + 32980500*ln2*z2*z5 + 
    55615500*sinf*z2*z5 + 779625*z3*z5 - 137893500*sinf*z7)/4032000, 
 H[1, 1, 0, 1, 0, -1, 1, 0, 1] -> 
  (-6048000*li4half^2 - 504000*li4half*ln2^4 - 10500*ln2^8 - 
    3024000*ln2^2*s6 + 310275*s8a - 378000*s8b + 6048000*s8c - 6048000*s8d - 
    4176000*ln2*s6*sinf + 4176000*s7a*sinf + 4176000*s7b*sinf + 
    4032000*li6half*z2 - 2016000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 
    19600*ln2^6*z2 + 13860000*s6*z2 + 4032000*li5half*sinf*z2 - 
    2016000*li4half*ln2*sinf*z2 - 117600*ln2^5*sinf*z2 - 
    2016000*li4half*sinf^2*z2 - 84000*ln2^4*sinf^2*z2 - 
    2520000*li4half*z2^2 + 273000*ln2^4*z2^2 + 840000*ln2^3*sinf*z2^2 + 
    504000*ln2^2*sinf^2*z2^2 + 478800*ln2^2*z2^3 + 2896200*ln2*sinf*z2^3 + 
    574800*sinf^2*z2^3 + 3818199*z2^4 + 12096000*li5half*z3 - 
    100800*ln2^5*z3 + 12096000*li4half*sinf*z3 + 504000*ln2^4*sinf*z3 - 
    1050000*ln2^3*z2*z3 - 6552000*ln2^2*sinf*z2*z3 - 
    882000*ln2*sinf^2*z2*z3 - 277200*ln2*z2^2*z3 - 4426200*sinf*z2^2*z3 - 
    850500*ln2^2*z3^2 + 5220000*ln2*sinf*z3^2 - 252000*sinf^2*z3^2 - 
    3465000*z2*z3^2 - 20341125*ln2*z2*z5 - 16346250*sinf*z2*z5 - 
    16458750*z3*z5 + 26607375*sinf*z7)/1008000, 
 H[1, 1, 0, 1, 0, -1, 1, -1, 1] -> (8064000*li4half^2 + 177408000*li8half + 
    96768000*li7half*ln2 + 24192000*li6half*ln2^2 + 5376000*li5half*ln2^3 + 
    2688000*li4half*ln2^4 + 72000*ln2^8 - 20232000*ln2^2*s6 + 
    38880000*ln2*s7a + 10656000*ln2*s7b - 1458450*s8a + 134568000*s8b - 
    12096000*s8c + 25200000*s8d + 112896000*li7half*sinf + 
    48384000*li6half*ln2*sinf + 8064000*li5half*ln2^2*sinf + 
    2688000*li4half*ln2^3*sinf + 89600*ln2^7*sinf + 8640000*ln2*s6*sinf + 
    16560000*s7a*sinf - 34848000*s7b*sinf + 32256000*li6half*sinf^2 + 
    8064000*li5half*ln2*sinf^2 - 22400*ln2^6*sinf^2 + 18144000*s6*sinf^2 - 
    56448000*li6half*z2 - 24192000*li5half*ln2*z2 - 
    16128000*li4half*ln2^2*z2 - 828800*ln2^6*z2 - 87696000*s6*z2 - 
    8064000*li5half*sinf*z2 - 8064000*li4half*ln2*sinf*z2 - 
    806400*ln2^5*sinf*z2 + 4032000*li4half*sinf^2*z2 + 
    168000*ln2^4*sinf^2*z2 - 4636800*li4half*z2^2 + 2494800*ln2^4*z2^2 + 
    1344000*ln2^3*sinf*z2^2 - 5191200*ln2^2*sinf^2*z2^2 + 
    4521600*ln2^2*z2^3 + 2901600*ln2*sinf*z2^3 - 4588800*sinf^2*z2^3 - 
    8665932*z2^4 - 32256000*li5half*z3 + 46368000*li4half*ln2*z3 + 
    2906400*ln2^5*z3 - 6048000*li4half*sinf*z3 + 1512000*ln2^4*sinf*z3 + 
    1176000*ln2^3*sinf^2*z3 - 22512000*ln2^3*z2*z3 + 
    3024000*ln2^2*sinf*z2*z3 + 6300000*ln2*sinf^2*z2*z3 - 
    21837600*ln2*z2^2*z3 + 17175600*sinf*z2^2*z3 + 41607000*ln2^2*z3^2 + 
    3312000*ln2*sinf*z3^2 - 9198000*sinf^2*z3^2 + 22365000*z2*z3^2 + 
    26040000*ln2^3*z5 + 37107000*ln2^2*sinf*z5 - 12694500*ln2*sinf^2*z5 + 
    22468500*ln2*z2*z5 + 116667000*sinf*z2*z5 - 47635875*z3*z5 + 
    34349625*ln2*z7 - 302580000*sinf*z7)/4032000, 
 H[1, 1, 0, 1, 0, -1, 0, 1, 1] -> 
  (-4838400*li4half^2 - 403200*li4half*ln2^4 - 8400*ln2^8 - 80325*s8a - 
    4838400*ln2*s6*sinf + 4838400*s7a*sinf + 4838400*s7b*sinf - 
    3225600*li6half*z2 - 3225600*li5half*ln2*z2 + 806400*li4half*ln2^2*z2 + 
    56000*ln2^6*z2 + 1814400*s6*z2 - 3225600*li5half*sinf*z2 - 
    3225600*li4half*ln2*sinf*z2 - 107520*ln2^5*sinf*z2 - 
    1612800*li4half*sinf^2*z2 - 67200*ln2^4*sinf^2*z2 + 80640*li4half*z2^2 - 
    97440*ln2^4*z2^2 + 537600*ln2^3*sinf*z2^2 + 403200*ln2^2*sinf^2*z2^2 - 
    20160*ln2^2*z2^3 + 846720*ln2*sinf*z2^3 + 495360*sinf^2*z2^3 + 
    896544*z2^4 + 8467200*li5half*z3 - 70560*ln2^5*z3 + 
    8467200*li4half*sinf*z3 + 352800*ln2^4*sinf*z3 + 235200*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 - 1411200*ln2*sinf^2*z2*z3 + 70560*ln2*z2^2*z3 - 
    5816160*sinf*z2^2*z3 + 6048000*ln2*sinf*z3^2 + 441000*sinf^2*z3^2 - 
    1852200*z2*z3^2 - 3515400*ln2*z2*z5 - 13091400*sinf*z2*z5 - 
    447300*z3*z5 + 37168425*sinf*z7)/806400, H[1, 1, 0, 1, 0, -1, 0, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 5621175*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 806400*li4half*z2^2 + 
    470400*ln2^4*z2^2 + 201600*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 + 
    590400*sinf^2*z2^3 - 1123812*z2^4 - 14112000*li5half*z3 + 
    117600*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 
    1176000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 - 705600*ln2*z2^2*z3 + 
    5140800*sinf*z2^2*z3 - 10080000*ln2*sinf*z3^2 + 189000*sinf^2*z3^2 - 
    504000*z2*z3^2 + 27720000*sinf*z2*z5 + 20286000*z3*z5 - 59038875*sinf*z7)/
   2016000, H[1, 1, 0, 1, 0, -1, 0, -1, 1] -> 
  (-338688000*li4half^2 - 28224000*li4half*ln2^4 - 588000*ln2^8 + 
    159264000*ln2^2*s6 - 318528000*ln2*s7a - 318528000*ln2*s7b + 
    191789325*s8a + 141624000*s8b + 318528000*s8c - 318528000*s8d - 
    189504000*ln2*s6*sinf + 189504000*s7a*sinf + 189504000*s7b*sinf - 
    56448000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 6272000*ln2^6*z2 + 668808000*s6*z2 - 
    56448000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1881600*ln2^5*sinf*z2 - 112896000*li4half*sinf^2*z2 - 
    4704000*ln2^4*sinf^2*z2 + 111283200*li4half*z2^2 - 13003200*ln2^4*z2^2 + 
    9408000*ln2^3*sinf*z2^2 + 28224000*ln2^2*sinf^2*z2^2 - 
    91526400*ln2^2*z2^3 + 33163200*ln2*sinf*z2^3 + 34372800*sinf^2*z2^3 + 
    161563572*z2^4 + 735840000*li5half*z3 - 493920000*li4half*ln2*z3 - 
    26712000*ln2^5*z3 + 395136000*li4half*sinf*z3 + 16464000*ln2^4*sinf*z3 + 
    176568000*ln2^3*z2*z3 - 123480000*ln2^2*sinf*z2*z3 - 
    98784000*ln2*sinf^2*z2*z3 + 310388400*ln2*z2^2*z3 - 
    249228000*sinf*z2^2*z3 - 415170000*ln2^2*z3^2 + 292446000*ln2*sinf*z3^2 + 
    30870000*sinf^2*z3^2 - 287406000*z2*z3^2 - 81427500*ln2*z2*z5 - 
    537043500*sinf*z2*z5 - 581064750*z3*z5 - 2503265625*ln2*z7 + 
    1369651500*sinf*z7)/28224000, H[1, 1, 0, 1, 0, -1, -1, 1, 1] -> 
  (-338688000*li4half^2 - 903168000*li8half + 338688000*li6half*ln2^2 + 
    188160000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 644000*ln2^8 - 
    25200000*ln2^2*s6 + 31551975*s8a + 219240000*s8b - 6048000*s8c + 
    189504000*s8d - 677376000*li7half*sinf + 225792000*li5half*ln2^2*sinf + 
    112896000*li4half*ln2^3*sinf + 2956800*ln2^7*sinf - 
    62496000*ln2*s6*sinf + 62496000*s7a*sinf + 231840000*s7b*sinf - 
    225792000*li6half*sinf^2 + 56448000*li4half*ln2^2*sinf^2 + 
    2038400*ln2^6*sinf^2 - 105840000*s6*sinf^2 - 112896000*li6half*z2 - 
    451584000*li5half*ln2*z2 - 112896000*li4half*ln2^2*z2 - 
    5958400*ln2^6*z2 - 336672000*s6*z2 - 225792000*li5half*sinf*z2 - 
    225792000*li4half*ln2*sinf*z2 - 19756800*ln2^5*sinf*z2 - 
    9408000*ln2^4*sinf^2*z2 + 201600000*li4half*z2^2 + 22512000*ln2^4*z2^2 + 
    37632000*ln2^3*sinf*z2^2 + 29282400*ln2^2*sinf^2*z2^2 - 
    3578400*ln2^2*z2^3 - 72828000*ln2*sinf*z2^3 + 29299200*sinf^2*z2^3 + 
    374376*z2^4 + 383040000*li5half*z3 + 6686400*ln2^5*z3 + 
    141120000*li4half*sinf*z3 + 30576000*ln2^4*sinf*z3 + 
    16464000*ln2^3*sinf^2*z3 - 33936000*ln2^3*z2*z3 - 
    169344000*ln2^2*sinf*z2*z3 - 26460000*ln2*sinf^2*z2*z3 + 
    26976600*ln2*z2^2*z3 - 160498800*sinf*z2^2*z3 + 53109000*ln2^2*z3^2 + 
    78120000*ln2*sinf*z3^2 + 47848500*sinf^2*z3^2 - 142096500*z2*z3^2 - 
    4557000*ln2^3*z5 - 232407000*ln2^2*sinf*z5 + 154854000*ln2*z2*z5 - 
    617967000*sinf*z2*z5 + 408484125*z3*z5 + 2304295875*sinf*z7)/56448000, 
 H[1, 1, 0, 1, 0, -1, -1, 0, 1] -> 
  (20160000*li4half^2 + 1680000*li4half*ln2^4 + 35000*ln2^8 + 1655325*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf + 
    28224000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 - 28000*ln2^6*z2 + 1512000*s6*z2 + 
    16128000*li5half*sinf*z2 + 16128000*li4half*ln2*sinf*z2 + 
    537600*ln2^5*sinf*z2 + 2016000*li4half*sinf^2*z2 + 
    84000*ln2^4*sinf^2*z2 - 12096000*li4half*z2^2 - 1008000*ln2^4*z2^2 - 
    2688000*ln2^3*sinf*z2^2 - 504000*ln2^2*sinf^2*z2^2 + 3024000*ln2^2*z2^3 - 
    1411200*ln2*sinf*z2^3 - 562800*sinf^2*z2^3 - 3742188*z2^4 - 
    35280000*li5half*z3 + 294000*ln2^5*z3 - 14112000*li4half*sinf*z3 - 
    588000*ln2^4*sinf*z3 + 1176000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 + 
    1764000*ln2*sinf^2*z2*z3 - 10584000*ln2*z2^2*z3 + 9179100*sinf*z2^2*z3 - 
    10080000*ln2*sinf*z3^2 - 819000*sinf^2*z3^2 + 3079125*z2*z3^2 - 
    2929500*ln2*z2*z5 + 14757750*sinf*z2*z5 + 21601125*z3*z5 - 
    65921625*sinf*z7)/2016000, H[1, 1, 0, 1, 0, -1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 270950400*li8half - 270950400*li7half*ln2 - 
    135475200*li6half*ln2^2 - 45158400*li5half*ln2^3 - 
    13641600*li4half*ln2^4 - 284200*ln2^8 + 25804800*ln2^2*s6 - 
    51609600*ln2*s7a - 37497600*ln2*s7b + 15757875*s8a - 130132800*s8b + 
    37497600*s8c - 51609600*s8d - 135475200*li7half*sinf - 
    135475200*li6half*ln2*sinf - 67737600*li5half*ln2^2*sinf - 
    22579200*li4half*ln2^3*sinf - 537600*ln2^7*sinf - 29030400*ln2*s6*sinf + 
    3628800*s7a*sinf + 29030400*s7b*sinf - 22579200*li6half*sinf^2 - 
    22579200*li5half*ln2*sinf^2 - 11289600*li4half*ln2^2*sinf^2 - 
    313600*ln2^6*sinf^2 - 5644800*s6*sinf^2 + 90316800*li6half*z2 + 
    90316800*li5half*ln2*z2 + 59270400*li4half*ln2^2*z2 + 2783200*ln2^6*z2 + 
    128620800*s6*z2 + 22579200*li5half*sinf*z2 + 22579200*li4half*ln2*sinf*
     z2 + 3010560*ln2^5*sinf*z2 - 8467200*li4half*sinf^2*z2 + 
    1058400*ln2^4*sinf^2*z2 + 6330240*li4half*z2^2 - 7145040*ln2^4*z2^2 - 
    3763200*ln2^3*sinf*z2^2 + 2116800*ln2^2*sinf^2*z2^2 - 
    11904480*ln2^2*z2^3 + 5080320*ln2*sinf*z2^3 + 6407520*sinf^2*z2^3 + 
    26289336*z2^4 + 52416000*li5half*z3 - 100195200*li4half*ln2*z3 - 
    6587280*ln2^5*z3 + 23990400*li4half*sinf*z3 - 3939600*ln2^4*sinf*z3 - 
    3292800*ln2^3*sinf^2*z3 + 42588000*ln2^3*z2*z3 + 
    3880800*ln2^2*sinf*z2*z3 - 7408800*ln2*sinf^2*z2*z3 + 
    43669080*ln2*z2^2*z3 - 21399840*sinf*z2^2*z3 - 76091400*ln2^2*z3^2 + 
    12826800*ln2*sinf*z3^2 + 4806900*sinf^2*z3^2 - 29446200*z2*z3^2 - 
    9114000*ln2^3*z5 + 10936800*ln2*sinf^2*z5 - 38329200*ln2*z2*z5 - 
    97007400*sinf*z2*z5 + 3148425*z3*z5 - 129608325*ln2*z7 + 
    286064100*sinf*z7)/11289600, H[1, 1, 0, 1, -1, 1, 1, 1, 1] -> 
  (-42336000*li4half^2 - 197568000*li8half + 68600*ln2^8 - 
    88704000*ln2^2*s6 + 298654650*s8a + 1104768000*s8b + 177408000*s8c + 
    34272000*s8d + 282240000*li7half*sinf - 56000*ln2^7*sinf + 
    68544000*ln2*s6*sinf - 68544000*s7a*sinf - 26208000*s7b*sinf - 
    127008000*li6half*sinf^2 - 176400*ln2^6*sinf^2 - 3528000*s6*sinf^2 + 
    127008000*li6half*z2 - 568400*ln2^6*z2 - 170856000*s6*z2 + 
    1176000*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    1470000*ln2^4*sinf^2*z2 + 85881600*li4half*z2^2 + 2049600*ln2^4*z2^2 - 
    8232000*ln2^3*sinf*z2^2 - 2998800*ln2^2*sinf^2*z2^2 - 
    14842800*ln2^2*z2^3 - 1360800*ln2*sinf*z2^3 + 806400*sinf^2*z2^3 - 
    54498456*z2^4 - 68544000*li5half*z3 + 2217600*ln2^5*z3 - 
    225792000*li4half*sinf*z3 - 7350000*ln2^4*sinf*z3 - 
    22176000*ln2^3*z2*z3 + 44100000*ln2^2*sinf*z2*z3 - 
    196257600*ln2*z2^2*z3 + 14414400*sinf*z2^2*z3 - 24948000*ln2^2*z3^2 - 
    85680000*ln2*sinf*z3^2 + 13671000*sinf^2*z3^2 - 180243000*z2*z3^2 - 
    41013000*ln2^2*sinf*z5 - 532224000*ln2*z2*z5 + 75663000*sinf*z2*z5 + 
    477335250*z3*z5 - 187180875*sinf*z7)/28224000, 
 H[1, 1, 0, 1, -1, 1, 1, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 + 
    181440000*ln2^2*s6 - 677977650*s8a - 2827440000*s8b - 362880000*s8c - 
    229824000*s8d - 249984000*ln2*s6*sinf + 249984000*s7a*sinf - 
    328608000*s7b*sinf + 338688000*li6half*sinf^2 + 470400*ln2^6*sinf^2 + 
    91728000*s6*sinf^2 - 733824000*li6half*z2 - 1019200*ln2^6*z2 + 
    621936000*s6*z2 + 338688000*li5half*sinf*z2 - 2822400*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 8232000*ln2^4*sinf^2*z2 - 
    77011200*li4half*z2^2 + 6787200*ln2^4*z2^2 + 59976000*ln2^3*sinf*z2^2 - 
    6703200*ln2^2*sinf^2*z2^2 + 4485600*ln2^2*z2^3 + 27568800*ln2*sinf*z2^3 - 
    17337600*sinf^2*z2^3 + 194537736*z2^4 + 120960000*li5half*z3 - 
    21168000*li4half*ln2*z3 - 1890000*ln2^5*z3 + 112896000*li4half*sinf*z3 + 
    4704000*ln2^4*sinf*z3 + 56532000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 + 
    5292000*ln2*sinf^2*z2*z3 + 371624400*ln2*z2^2*z3 + 
    200667600*sinf*z2^2*z3 + 44856000*ln2^2*z3^2 + 300132000*ln2*sinf*z3^2 - 
    110250000*sinf^2*z3^2 + 704340000*z2*z3^2 + 560511000*ln2^2*sinf*z5 + 
    1088640000*ln2*z2*z5 + 957789000*sinf*z2*z5 - 1362989250*z3*z5 - 
    2564958375*sinf*z7)/56448000, H[1, 1, 0, 1, -1, 1, 1, -1, 1] -> 
  (84672000*li4half^2 - 1580544000*li8half - 846720000*li7half*ln2 - 
    141120000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 135800*ln2^8 + 
    386064000*ln2^2*s6 + 36288000*ln2*s7a + 247968000*ln2*s7b - 
    987788025*s8a - 4857048000*s8b - 844704000*s8c - 213696000*s8d - 
    1185408000*li7half*sinf - 282240000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf + 78400*ln2^7*sinf + 181440000*ln2*s6*sinf - 
    181440000*s7a*sinf + 72576000*s7b*sinf + 169344000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 + 470400*ln2^6*sinf^2 + 119952000*s6*sinf^2 - 
    28224000*li6half*z2 + 56448000*li5half*ln2*z2 + 980000*ln2^6*z2 + 
    836640000*s6*z2 + 28224000*li5half*sinf*z2 - 1646400*ln2^5*sinf*z2 + 
    42336000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 - 
    85075200*li4half*z2^2 - 1251600*ln2^4*z2^2 + 29870400*ln2^3*sinf*z2^2 - 
    32104800*ln2^2*sinf^2*z2^2 - 89863200*ln2^2*z2^3 - 
    44049600*ln2*sinf*z2^3 - 16732800*sinf^2*z2^3 + 33106896*z2^4 + 
    378000000*li5half*z3 - 6442800*ln2^5*z3 - 105840000*li4half*sinf*z3 - 
    8526000*ln2^4*sinf*z3 + 64428000*ln2^3*z2*z3 + 
    51156000*ln2^2*sinf*z2*z3 + 111132000*ln2*sinf^2*z2*z3 + 
    756970200*ln2*z2^2*z3 + 90442800*sinf*z2^2*z3 + 77710500*ln2^2*z3^2 - 
    399672000*ln2*sinf*z3^2 - 82026000*sinf^2*z3^2 + 974200500*z2*z3^2 - 
    273420000*ln2^3*z5 - 451143000*ln2^2*sinf*z5 - 205065000*ln2*sinf^2*z5 + 
    2209221000*ln2*z2*z5 - 16065000*sinf*z2*z5 - 1031097375*z3*z5 + 
    1153585125*ln2*z7 + 781751250*sinf*z7)/56448000, 
 H[1, 1, 0, 1, -1, 1, 0, 1, 1] -> 
  (21168000*li4half^2 + 1764000*li4half*ln2^4 + 36750*ln2^8 - 
    4032000*ln2^2*s6 - 663075*s8a - 212940000*s8b + 8064000*s8c - 
    8064000*s8d - 68544000*ln2*s6*sinf + 68544000*s7a*sinf + 
    26208000*s7b*sinf - 35280000*s6*sinf^2 - 70560000*li6half*z2 + 
    10584000*li4half*ln2^2*z2 + 343000*ln2^6*z2 + 51408000*s6*z2 + 
    56448000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 - 
    49392000*li4half*sinf^2*z2 - 2058000*ln2^4*sinf^2*z2 - 
    90871200*li4half*z2^2 - 6285300*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 + 
    9702000*ln2^2*sinf^2*z2^2 + 30403800*ln2^2*z2^3 + 
    37951200*ln2*sinf*z2^3 + 10953600*sinf^2*z2^3 + 22066788*z2^4 - 
    96768000*li5half*z3 + 10584000*li4half*ln2*z3 + 1247400*ln2^5*z3 + 
    197568000*li4half*sinf*z3 + 8232000*ln2^4*sinf*z3 - 2478000*ln2^3*z2*z3 - 
    37044000*ln2^2*sinf*z2*z3 - 2646000*ln2*sinf^2*z2*z3 - 
    39702600*ln2*z2^2*z3 - 85503600*sinf*z2^2*z3 + 1953000*ln2^2*z3^2 + 
    91854000*ln2*sinf*z3^2 + 14112000*sinf^2*z3^2 - 756000*z2*z3^2 + 
    41013000*ln2^2*sinf*z5 - 24192000*ln2*z2*z5 - 101241000*sinf*z2*z5 + 
    211687875*z3*z5 + 160941375*sinf*z7)/14112000, 
 H[1, 1, 0, 1, -1, 1, 0, 0, 1] -> (7392000*ln2^2*s6 + 16215150*s8a + 
    120792000*s8b - 14784000*s8c + 14784000*s8d + 46368000*ln2*s6*sinf - 
    46368000*s7a*sinf + 47712000*s7b*sinf + 23520000*s6*sinf^2 - 
    100128000*s6*z2 - 75264000*li5half*sinf*z2 + 627200*ln2^5*sinf*z2 - 
    7627200*li4half*z2^2 - 317800*ln2^4*z2^2 - 6272000*ln2^3*sinf*z2^2 - 
    10584000*ln2^2*sinf^2*z2^2 - 747600*ln2^2*z2^3 - 16413600*ln2*sinf*z2^3 + 
    694400*sinf^2*z2^3 - 10126416*z2^4 + 83328000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 187600*ln2^5*z3 - 28224000*li4half*sinf*z3 - 
    1176000*ln2^4*sinf*z3 + 1652000*ln2^3*z2*z3 + 7056000*ln2^2*sinf*z2*z3 - 
    5292000*ln2*sinf^2*z2*z3 + 9534000*ln2*z2^2*z3 - 20361600*sinf*z2^2*z3 + 
    8253000*ln2^2*z3^2 - 45612000*ln2*sinf*z3^2 - 2352000*sinf^2*z3^2 + 
    5649000*z2*z3^2 - 91140000*ln2^2*sinf*z5 + 44352000*ln2*z2*z5 - 
    98406000*sinf*z2*z5 - 28302750*z3*z5 + 319144875*sinf*z7)/9408000, 
 H[1, 1, 0, 1, -1, 1, 0, -1, 1] -> 
  (254016000*li4half^2 + 9031680000*li8half + 5419008000*li7half*ln2 + 
    1354752000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 217000*ln2^8 - 1274112000*ln2^2*s6 + 
    1143072000*ln2*s7a - 1425312000*ln2*s7b + 2804725350*s8a + 
    17919216000*s8b + 1729728000*s8c + 1798272000*s8d + 
    5419008000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf - 1075200*ln2^7*sinf + 
    147168000*ln2*s6*sinf + 1320480000*s7a*sinf - 1530144000*s7b*sinf + 
    1354752000*li6half*sinf^2 + 451584000*li5half*ln2*sinf^2 - 
    1881600*ln2^6*sinf^2 + 592704000*s6*sinf^2 - 2850624000*li6half*z2 - 
    903168000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 + 666400*ln2^6*z2 - 
    6687072000*s6*z2 - 338688000*li5half*sinf*z2 + 6585600*ln2^5*sinf*z2 - 
    155232000*li4half*sinf^2*z2 + 2940000*ln2^4*sinf^2*z2 - 
    14313600*li4half*z2^2 - 11180400*ln2^4*z2^2 - 28224000*ln2^3*sinf*z2^2 - 
    57153600*ln2^2*sinf^2*z2^2 + 423158400*ln2^2*z2^3 - 
    93189600*ln2*sinf*z2^3 - 139221600*sinf^2*z2^3 - 320549304*z2^4 - 
    2947392000*li5half*z3 + 402192000*li4half*ln2*z3 + 41319600*ln2^5*z3 + 
    557424000*li4half*sinf*z3 + 23226000*ln2^4*sinf*z3 - 
    329700000*ln2^3*z2*z3 - 114660000*ln2^2*sinf*z2*z3 - 
    137592000*ln2*sinf^2*z2*z3 - 1930093200*ln2*z2^2*z3 + 
    142682400*sinf*z2^2*z3 + 1070937000*ln2^2*z3^2 + 
    1421280000*ln2*sinf*z3^2 - 176400000*sinf^2*z3^2 - 1655829000*z2*z3^2 + 
    2415210000*ln2^3*z5 + 2542806000*ln2^2*sinf*z5 - 
    218736000*ln2*sinf^2*z5 - 484596000*ln2*z2*z5 + 4751460000*sinf*z2*z5 + 
    2680350750*z3*z5 - 11002784625*ln2*z7 - 11863522125*sinf*z7)/56448000, 
 H[1, 1, 0, 1, -1, 1, -1, 1, 1] -> 
  (-127008000*li4half^2 + 620928000*li8half + 28224000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 185500*ln2^8 + 
    13608000*ln2^2*s6 + 46270350*s8a + 515592000*s8b - 6048000*s8c + 
    111888000*s8d - 620928000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    28224000*li4half*ln2^3*sinf + 828800*ln2^7*sinf + 44352000*ln2*s6*sinf - 
    44352000*s7a*sinf + 139104000*s7b*sinf + 42336000*li6half*sinf^2 + 
    21168000*li4half*ln2^2*sinf^2 + 940800*ln2^6*sinf^2 - 
    10584000*s6*sinf^2 - 70560000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    1195600*ln2^6*z2 - 276696000*s6*z2 - 56448000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 7996800*ln2^5*sinf*z2 - 
    21168000*li4half*sinf^2*z2 + 41428800*li4half*z2^2 + 4783800*ln2^4*z2^2 + 
    12700800*ln2^3*sinf*z2^2 - 2116800*ln2^2*sinf^2*z2^2 - 
    37220400*ln2^2*z2^3 - 38455200*ln2*sinf*z2^3 - 1990800*sinf^2*z2^3 - 
    64288404*z2^4 - 26208000*li5half*z3 - 21168000*li4half*ln2*z3 - 
    2310000*ln2^5*z3 + 148176000*li4half*sinf*z3 + 4116000*ln2^4*sinf*z3 + 
    19572000*ln2^3*z2*z3 - 24696000*ln2^2*sinf*z2*z3 + 
    10584000*ln2*sinf^2*z2*z3 + 21155400*ln2*z2^2*z3 - 
    87620400*sinf*z2^2*z3 - 32445000*ln2^2*z3^2 - 67788000*ln2*sinf*z3^2 - 
    661500*sinf^2*z3^2 + 11371500*z2*z3^2 - 54684000*ln2^3*z5 - 
    259749000*ln2^2*sinf*z5 + 182196000*ln2*z2*z5 - 332325000*sinf*z2*z5 - 
    108753750*z3*z5 + 1251313875*sinf*z7)/28224000, 
 H[1, 1, 0, 1, -1, 1, -1, 0, 1] -> 
  (36288000*li4half^2 + 3024000*li4half*ln2^4 + 63000*ln2^8 - 
    50400000*ln2^2*s6 + 117334350*s8a + 516096000*s8b + 100800000*s8c + 
    12096000*s8d + 43488000*ln2*s6*sinf - 43488000*s7a*sinf + 
    37152000*s7b*sinf - 64512000*li6half*sinf^2 - 89600*ln2^6*sinf^2 - 
    16128000*s6*sinf^2 + 177408000*li6half*z2 + 48384000*li5half*ln2*z2 - 
    6048000*li4half*ln2^2*z2 - 408800*ln2^6*z2 - 23184000*s6*z2 + 
    16128000*li5half*sinf*z2 + 36288000*li4half*ln2*sinf*z2 + 
    1377600*ln2^5*sinf*z2 + 6048000*li4half*sinf^2*z2 + 
    1596000*ln2^4*sinf^2*z2 - 19353600*li4half*z2^2 - 1226400*ln2^4*z2^2 - 
    13776000*ln2^3*sinf*z2^2 + 3124800*ln2^2*sinf^2*z2^2 + 
    14817600*ln2^2*z2^3 + 3693600*ln2*sinf*z2^3 + 7264800*sinf^2*z2^3 - 
    3063024*z2^4 - 76608000*li5half*z3 + 24192000*li4half*ln2*z3 + 
    1646400*ln2^5*z3 - 39312000*li4half*sinf*z3 - 1638000*ln2^4*sinf*z3 - 
    18312000*ln2^3*z2*z3 + 6300000*ln2^2*sinf*z2*z3 - 
    6048000*ln2*sinf^2*z2*z3 - 110250000*ln2*z2^2*z3 - 2844000*sinf*z2^2*z3 - 
    7119000*ln2^2*z3^2 - 40248000*ln2*sinf*z3^2 + 9828000*sinf^2*z3^2 - 
    136206000*z2*z3^2 - 78120000*ln2^2*sinf*z5 - 372708000*ln2*z2*z5 - 
    143154000*sinf*z2*z5 + 170178750*z3*z5 + 208414125*sinf*z7)/8064000, 
 H[1, 1, 0, 1, -1, 1, -1, -1, 1] -> 
  (254016000*li4half^2 + 733824000*li8half + 1072512000*li7half*ln2 + 
    197568000*li6half*ln2^2 - 47040000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 324800*ln2^8 - 291312000*ln2^2*s6 + 
    209664000*ln2*s7a - 383040000*ln2*s7b + 617640975*s8a + 2773512000*s8b + 
    417312000*s8c + 203616000*s8d + 2088576000*li7half*sinf + 
    508032000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf - 
    56448000*li4half*ln2^3*sinf - 1825600*ln2^7*sinf - 
    179424000*ln2*s6*sinf + 475776000*s7a*sinf - 512064000*s7b*sinf + 
    225792000*li6half*sinf^2 + 84672000*li5half*ln2*sinf^2 - 
    42336000*li4half*ln2^2*sinf^2 - 2156000*ln2^6*sinf^2 + 
    105840000*s6*sinf^2 - 479808000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 2508800*ln2^6*z2 - 971712000*s6*z2 - 
    84672000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    14112000*ln2^5*sinf*z2 - 84672000*li4half*sinf^2*z2 - 
    2940000*ln2^4*sinf^2*z2 - 272563200*li4half*z2^2 - 16707600*ln2^4*z2^2 - 
    22108800*ln2^3*sinf*z2^2 + 11289600*ln2^2*sinf^2*z2^2 + 
    193838400*ln2^2*z2^3 + 26510400*ln2*sinf*z2^3 - 9424800*sinf^2*z2^3 + 
    44287056*z2^4 - 287280000*li5half*z3 + 317520000*li4half*ln2*z3 + 
    18916800*ln2^5*z3 + 317520000*li4half*sinf*z3 + 17346000*ln2^4*sinf*z3 - 
    136248000*ln2^3*z2*z3 - 104076000*ln2^2*sinf*z2*z3 - 
    121716000*ln2*sinf^2*z2*z3 - 486826200*ln2*z2^2*z3 - 
    43117200*sinf*z2^2*z3 + 344074500*ln2^2*z3^2 + 767592000*ln2*sinf*z3^2 + 
    441000*sinf^2*z3^2 - 509449500*z2*z3^2 + 697221000*ln2^3*z5 + 
    1162035000*ln2^2*sinf*z5 + 41013000*ln2*sinf^2*z5 - 354312000*ln2*z2*z5 + 
    1494045000*sinf*z2*z5 + 1116289125*z3*z5 - 2371005000*ln2*z7 - 
    3978418500*sinf*z7)/56448000, H[1, 1, 0, 1, -1, 0, 1, 1, 1] -> 
  (161280*li4half^2 + 13440*li4half*ln2^4 + 280*ln2^8 - 26880*ln2^2*s6 - 
    392700*s8a - 1223040*s8b + 53760*s8c - 53760*s8d - 218880*ln2*s6*sinf + 
    218880*s7a*sinf + 218880*s7b*sinf - 188160*s6*sinf^2 - 
    80640*li4half*ln2^2*z2 - 3360*ln2^6*z2 + 295680*s6*z2 - 
    215040*li4half*sinf^2*z2 - 8960*ln2^4*sinf^2*z2 - 481152*li4half*z2^2 - 
    9968*ln2^4*z2^2 + 53760*ln2^2*sinf^2*z2^2 + 118944*ln2^2*z2^3 + 
    193824*ln2*sinf*z2^3 + 66240*sinf^2*z2^3 + 393288*z2^4 - 
    322560*li5half*z3 - 40320*li4half*ln2*z3 + 1008*ln2^5*z3 + 
    967680*li4half*sinf*z3 + 40320*ln2^4*sinf*z3 - 16800*ln2^3*z2*z3 - 
    241920*ln2^2*sinf*z2*z3 + 10080*ln2*sinf^2*z2*z3 + 147168*ln2*z2^2*z3 - 
    34704*sinf*z2^2*z3 - 19320*ln2^2*z3^2 + 250080*ln2*sinf*z3^2 - 
    3360*sinf^2*z3^2 - 19320*z2*z3^2 - 161280*ln2*z2*z5 - 642960*sinf*z2*z5 - 
    919380*z3*z5 + 101475*sinf*z7)/107520, H[1, 1, 0, 1, -1, 0, 1, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 672000*ln2^2*s6 - 
    150675*s8a + 3948000*s8b - 1344000*s8c + 1344000*s8d + 
    864000*ln2*s6*sinf - 864000*s7a*sinf - 864000*s7b*sinf + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 3696000*s6*z2 + 
    1344000*li4half*sinf^2*z2 + 56000*ln2^4*sinf^2*z2 + 
    5191200*li4half*z2^2 - 35700*ln2^4*z2^2 - 336000*ln2^2*sinf^2*z2^2 - 
    1264200*ln2^2*z2^3 - 367200*ln2*sinf*z2^3 - 702400*sinf^2*z2^3 - 
    2142068*z2^4 + 2688000*li5half*z3 - 3024000*li4half*ln2*z3 - 
    148400*ln2^5*z3 - 6720000*li4half*sinf*z3 - 280000*ln2^4*sinf*z3 + 
    980000*ln2^3*z2*z3 + 1680000*ln2^2*sinf*z2*z3 + 756000*ln2*sinf^2*z2*z3 + 
    2490600*ln2*z2^2*z3 + 1378200*sinf*z2^2*z3 - 693000*ln2^2*z3^2 - 
    2844000*ln2*sinf*z3^2 + 840000*sinf^2*z3^2 - 1270500*z2*z3^2 + 
    4032000*ln2*z2*z5 - 1273500*sinf*z2*z5 + 3619875*z3*z5 + 4483875*sinf*z7)/
   672000, H[1, 1, 0, 1, -1, 0, 1, -1, 1] -> 
  (-423360000*li4half^2 - 9031680000*li8half - 5419008000*li7half*ln2 - 
    1354752000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    35280000*li4half*ln2^4 - 511000*ln2^8 + 1052352000*ln2^2*s6 - 
    1274112000*ln2*s7a + 1139040000*ln2*s7b - 2338698600*s8a - 
    16515072000*s8b - 1165248000*s8c - 1911168000*s8d - 
    5419008000*li7half*sinf - 2709504000*li6half*ln2*sinf - 
    451584000*li5half*ln2^2*sinf + 1075200*ln2^7*sinf - 
    405216000*ln2*s6*sinf - 1203552000*s7a*sinf + 1661184000*s7b*sinf - 
    1354752000*li6half*sinf^2 - 451584000*li5half*ln2*sinf^2 + 
    1881600*ln2^6*sinf^2 - 733824000*s6*sinf^2 + 2709504000*li6half*z2 + 
    564480000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 3332000*ln2^6*z2 + 
    6898752000*s6*z2 + 451584000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 - 3998400*ln2^5*sinf*z2 + 
    56448000*li4half*sinf^2*z2 - 7056000*ln2^4*sinf^2*z2 + 
    98985600*li4half*z2^2 + 31760400*ln2^4*z2^2 + 16464000*ln2^3*sinf*z2^2 + 
    92433600*ln2^2*sinf^2*z2^2 - 449769600*ln2^2*z2^3 + 
    24998400*ln2*sinf*z2^3 + 130233600*sinf^2*z2^3 + 398406384*z2^4 + 
    3257856000*li5half*z3 - 571536000*li4half*ln2*z3 - 50962800*ln2^5*z3 - 
    366912000*li4half*sinf*z3 - 15288000*ln2^4*sinf*z3 + 
    340284000*ln2^3*z2*z3 - 56448000*ln2^2*sinf*z2*z3 - 
    42336000*ln2*sinf^2*z2*z3 + 1613732400*ln2*z2^2*z3 - 
    372456000*sinf*z2^2*z3 - 1142568000*ln2^2*z3^2 - 
    932022000*ln2*sinf*z3^2 + 289296000*sinf^2*z3^2 + 940086000*z2*z3^2 - 
    2123562000*ln2^3*z5 - 2132676000*ln2^2*sinf*z5 + 
    642537000*ln2*sinf^2*z5 - 1103508000*ln2*z2*z5 - 5611788000*sinf*z2*z5 - 
    1715663250*z3*z5 + 11370310875*ln2*z7 + 13628175750*sinf*z7)/56448000, 
 H[1, 1, 0, 1, -1, 0, 0, 1, 1] -> (806400*li4half^2 + 67200*li4half*ln2^4 + 
    1400*ln2^8 - 134400*ln2^2*s6 + 428400*s8a + 3628800*s8b + 268800*s8c - 
    268800*s8d + 748800*ln2*s6*sinf - 748800*s7a*sinf - 748800*s7b*sinf + 
    672000*s6*sinf^2 - 403200*li4half*ln2^2*z2 - 16800*ln2^6*z2 - 
    1075200*s6*z2 + 537600*li4half*sinf^2*z2 + 22400*ln2^4*sinf^2*z2 + 
    80640*li4half*z2^2 + 53760*ln2^4*z2^2 - 134400*ln2^2*sinf^2*z2^2 - 
    26880*ln2^2*z2^3 - 519840*ln2*sinf*z2^3 - 76320*sinf^2*z2^3 + 
    32904*z2^4 - 537600*li5half*z3 + 604800*li4half*ln2*z3 + 29680*ln2^5*z3 - 
    1881600*li4half*sinf*z3 - 78400*ln2^4*sinf*z3 - 196000*ln2^3*z2*z3 + 
    470400*ln2^2*sinf*z2*z3 - 151200*ln2*sinf^2*z2*z3 - 409920*ln2*z2^2*z3 + 
    1045200*sinf*z2^2*z3 + 138600*ln2^2*z3^2 - 583200*ln2*sinf*z3^2 - 
    268800*sinf^2*z3^2 - 243600*z2*z3^2 - 806400*ln2*z2*z5 + 
    1120200*sinf*z2*z5 + 46200*z3*z5 - 2907825*sinf*z7)/268800, 
 H[1, 1, 0, 1, -1, 0, 0, 0, 1] -> 
  (-326025*s8a - 3780000*s8b - 384000*ln2*s6*sinf + 384000*s7a*sinf + 
    384000*s7b*sinf - 672000*s6*sinf^2 + 2352000*s6*z2 + 84000*li4half*z2^2 + 
    3500*ln2^4*z2^2 - 21000*ln2^2*z2^3 + 499200*ln2*sinf*z2^3 + 
    56000*sinf^2*z2^3 - 2784*z2^4 + 1344000*li4half*sinf*z3 + 
    56000*ln2^4*sinf*z3 - 336000*ln2^2*sinf*z2*z3 + 441000*ln2*z2^2*z3 - 
    97800*sinf*z2^2*z3 + 480000*ln2*sinf*z3^2 + 126000*sinf^2*z3^2 - 
    115500*z2*z3^2 + 331500*sinf*z2*z5 - 895125*z3*z5 - 1817250*sinf*z7)/
   336000, H[1, 1, 0, 1, -1, 0, 0, -1, 1] -> 
  (806400*li4half^2 + 67200*li4half*ln2^4 + 1400*ln2^8 + 1190400*ln2^2*s6 - 
    518400*ln2*s7a + 1363200*ln2*s7b - 2123625*s8a - 11558400*s8b - 
    1612800*s8c - 1881600*s8d + 576000*ln2*s6*sinf - 844800*s7a*sinf + 
    1036800*s7b*sinf + 806400*s6*sinf^2 - 403200*li4half*ln2^2*z2 - 
    16800*ln2^6*z2 + 4368000*s6*z2 + 268800*li4half*sinf^2*z2 + 
    11200*ln2^4*sinf^2*z2 - 974400*li4half*z2^2 + 9800*ln2^4*z2^2 - 
    67200*ln2^2*sinf^2*z2^2 - 176400*ln2^2*z2^3 + 508320*ln2*sinf*z2^3 + 
    86880*sinf^2*z2^3 + 487452*z2^4 + 2956800*li5half*z3 + 
    806400*li4half*ln2*z3 + 8960*ln2^5*z3 - 470400*li4half*sinf*z3 - 
    19600*ln2^4*sinf*z3 + 44800*ln2^3*z2*z3 + 117600*ln2^2*sinf*z2*z3 + 
    151200*ln2*sinf^2*z2*z3 + 1656000*ln2*z2^2*z3 + 111840*sinf*z2^2*z3 - 
    664800*ln2^2*z3^2 - 1543200*ln2*sinf*z3^2 - 403200*sinf^2*z3^2 + 
    2471700*z2*z3^2 - 2256800*ln2^3*z5 - 3124800*ln2^2*sinf*z5 - 
    1302000*ln2*sinf^2*z5 + 3379200*ln2*z2*z5 - 2342100*sinf*z2*z5 - 
    7296450*z3*z5 + 1432425*ln2*z7 + 2973150*sinf*z7)/268800, 
 H[1, 1, 0, 1, -1, 0, -1, 1, 1] -> 
  (931392000*li4half^2 + 2257920000*li8half - 677376000*li6half*ln2^2 - 
    301056000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 889000*ln2^8 - 
    471744000*ln2^2*s6 + 483956550*s8a + 2623824000*s8b + 435456000*s8c - 
    68544000*s8d + 1806336000*li7half*sinf - 451584000*li5half*ln2^2*sinf - 
    150528000*li4half*ln2^3*sinf - 2867200*ln2^7*sinf - 
    342720000*ln2*s6*sinf + 342720000*s7a*sinf - 546336000*s7b*sinf + 
    677376000*li6half*sinf^2 - 112896000*li4half*ln2^2*sinf^2 - 
    3763200*ln2^6*sinf^2 + 324576000*s6*sinf^2 + 1241856000*li5half*ln2*z2 + 
    239904000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 - 116928000*s6*z2 + 
    451584000*li5half*sinf*z2 + 366912000*li4half*ln2*sinf*z2 + 
    19051200*ln2^5*sinf*z2 - 112896000*li4half*sinf^2*z2 + 
    9408000*ln2^4*sinf^2*z2 - 641692800*li4half*z2^2 - 41437200*ln2^4*z2^2 - 
    54096000*ln2^3*sinf*z2^2 - 78321600*ln2^2*sinf^2*z2^2 + 
    261122400*ln2^2*z2^3 + 148327200*ln2*sinf*z2^3 - 50601600*sinf^2*z2^3 + 
    53256528*z2^4 - 1810368000*li5half*z3 + 169344000*li4half*ln2*z3 + 
    22142400*ln2^5*z3 + 204624000*li4half*sinf*z3 + 8526000*ln2^4*sinf*z3 - 
    119112000*ln2^3*z2*z3 + 97020000*ln2^2*sinf*z2*z3 - 
    42336000*ln2*sinf^2*z2*z3 - 865569600*ln2*z2^2*z3 + 
    82454400*sinf*z2^2*z3 + 148239000*ln2^2*z3^2 + 527184000*ln2*sinf*z3^2 - 
    107604000*sinf^2*z3^2 - 472563000*z2*z3^2 + 373674000*ln2^3*z5 + 
    1421784000*ln2^2*sinf*z5 - 2534553000*ln2*z2*z5 + 1072134000*sinf*z2*z5 + 
    1504345500*z3*z5 - 4177380375*sinf*z7)/56448000, 
 H[1, 1, 0, 1, -1, 0, -1, 0, 1] -> (-967680*li4half^2 - 80640*li4half*ln2^4 - 
    1680*ln2^8 + 376320*ln2^2*s6 - 475965*s8a - 477120*s8b - 752640*s8c + 
    752640*s8d - 130560*ln2*s6*sinf + 130560*s7a*sinf + 130560*s7b*sinf - 
    107520*s6*sinf^2 - 1935360*li6half*z2 - 1290240*li5half*ln2*z2 + 
    161280*li4half*ln2^2*z2 + 14784*ln2^6*z2 - 2257920*s6*z2 - 
    1290240*li5half*sinf*z2 - 645120*li4half*ln2*sinf*z2 - 
    16128*ln2^5*sinf*z2 + 889728*li4half*z2^2 - 9968*ln2^4*z2^2 + 
    53760*ln2^3*sinf*z2^2 - 203616*ln2^2*z2^3 - 134688*ln2*sinf*z2^3 - 
    9856*sinf^2*z2^3 - 245912*z2^4 + 1075200*li5half*z3 - 
    322560*li4half*ln2*z3 - 22400*ln2^5*z3 + 188160*li4half*sinf*z3 + 
    7840*ln2^4*sinf*z3 + 170240*ln2^3*z2*z3 - 47040*ln2^2*sinf*z2*z3 + 
    80640*ln2*sinf^2*z2*z3 + 956928*ln2*z2^2*z3 - 86256*sinf*z2^2*z3 + 
    11760*ln2^2*z3^2 - 24960*ln2*sinf*z3^2 + 20160*sinf^2*z3^2 + 
    915180*z2*z3^2 + 3859380*ln2*z2*z5 + 1002060*sinf*z2*z5 - 1281420*z3*z5 + 
    477600*sinf*z7)/53760, H[1, 1, 0, 1, -1, 0, -1, -1, 1] -> 
  (-56448000*li4half^2 + 1354752000*li8half + 1083801600*li7half*ln2 + 
    406425600*li6half*ln2^2 + 90316800*li5half*ln2^3 + 
    6585600*li4half*ln2^4 + 2800*ln2^8 - 88704000*ln2^2*s6 + 
    200793600*ln2*s7a - 174585600*ln2*s7b + 264760650*s8a + 2182521600*s8b + 
    137088000*s8c + 252403200*s8d + 722534400*li7half*sinf + 
    541900800*li6half*ln2*sinf + 180633600*li5half*ln2^2*sinf + 
    30105600*li4half*ln2^3*sinf + 358400*ln2^7*sinf + 141926400*ln2*s6*sinf + 
    117734400*s7a*sinf - 170150400*s7b*sinf + 135475200*li6half*sinf^2 + 
    90316800*li5half*ln2*sinf^2 + 22579200*li4half*ln2^2*sinf^2 + 
    376320*ln2^6*sinf^2 + 70560000*s6*sinf^2 - 406425600*li6half*z2 - 
    270950400*li5half*ln2*z2 - 39513600*li4half*ln2^2*z2 - 141120*ln2^6*z2 - 
    899942400*s6*z2 - 90316800*li5half*sinf*z2 - 45158400*li4half*ln2*sinf*
     z2 - 1881600*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 - 
    352800*ln2^4*sinf^2*z2 + 113702400*li4half*z2^2 + 4032000*ln2^4*z2^2 + 
    3763200*ln2^3*sinf*z2^2 - 3528000*ln2^2*sinf^2*z2^2 + 
    15492960*ln2^2*z2^3 - 5846400*ln2*sinf*z2^3 - 19000800*sinf^2*z2^3 - 
    70518456*z2^4 - 329817600*li5half*z3 - 12700800*li4half*ln2*z3 + 
    2219280*ln2^5*z3 - 47980800*li4half*sinf*z3 - 1999200*ln2^4*sinf*z3 - 
    24309600*ln2^3*z2*z3 + 11995200*ln2^2*sinf*z2*z3 + 
    23284800*ln2*sinf^2*z2*z3 - 118571040*ln2*z2^2*z3 + 
    80811360*sinf*z2^2*z3 + 123845400*ln2^2*z3^2 - 4536000*ln2*sinf*z3^2 - 
    34221600*sinf^2*z3^2 - 75121200*z2*z3^2 + 251546400*ln2^3*z5 + 
    54684000*ln2^2*sinf*z5 - 112102200*ln2*sinf^2*z5 + 449618400*ln2*z2*z5 + 
    620915400*sinf*z2*z5 - 68121900*z3*z5 - 1932832125*ln2*z7 - 
    1606484250*sinf*z7)/11289600, H[1, 1, 0, 1, -1, -1, 1, 1, 1] -> 
  (50803200*li4half^2 - 67737600*li8half - 7526400*li5half*ln2^3 - 
    1411200*li4half*ln2^4 - 85960*ln2^8 + 2016000*ln2^2*s6 + 447300*s8a + 
    150393600*s8b - 4032000*s8c + 63302400*s8d + 56448000*li7half*sinf - 
    5644800*li4half*ln2^3*sinf - 246400*ln2^7*sinf + 28627200*ln2*s6*sinf - 
    28627200*s7a*sinf - 39916800*s7b*sinf - 50803200*li6half*sinf^2 - 
    70560*ln2^6*sinf^2 - 29635200*s6*sinf^2 + 50803200*li6half*z2 + 
    22579200*li5half*ln2*z2 + 713440*ln2^6*z2 - 126604800*s6*z2 + 
    16934400*li4half*ln2*sinf*z2 + 2352000*ln2^5*sinf*z2 + 
    352800*ln2^4*sinf^2*z2 + 10967040*li4half*z2^2 - 2200800*ln2^4*z2^2 - 
    5597760*ln2^3*sinf*z2^2 + 6562080*ln2^2*sinf^2*z2^2 + 
    7680960*ln2^2*z2^3 - 191520*ln2*sinf*z2^3 + 7156800*sinf^2*z2^3 - 
    6859224*z2^4 - 166118400*li5half*z3 + 4233600*li4half*ln2*z3 - 
    579600*ln2^5*z3 - 29635200*li4half*sinf*z3 - 5762400*ln2^4*sinf*z3 - 
    2469600*ln2^3*sinf^2*z3 + 4032000*ln2^3*z2*z3 + 
    29635200*ln2^2*sinf*z2*z3 + 6350400*ln2*sinf^2*z2*z3 - 
    6864480*ln2*z2^2*z3 + 56070000*sinf*z2^2*z3 + 1801800*ln2^2*z3^2 - 
    33314400*ln2*sinf*z3^2 + 4630500*sinf^2*z3^2 - 18099900*z2*z3^2 - 
    2734200*ln2^3*z5 + 10936800*ln2^2*sinf*z5 + 20298600*ln2*z2*z5 + 
    117608400*sinf*z2*z5 + 90748350*z3*z5 - 398249775*sinf*z7)/11289600, 
 H[1, 1, 0, 1, -1, -1, 1, 0, 1] -> 
  (-211680000*li4half^2 - 17640000*li4half*ln2^4 - 367500*ln2^8 - 
    65520000*ln2^2*s6 + 55989675*s8a + 86688000*s8b + 131040000*s8c - 
    131040000*s8d - 88704000*ln2*s6*sinf + 88704000*s7a*sinf + 
    46368000*s7b*sinf + 28224000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    509600*ln2^6*z2 + 255024000*s6*z2 + 112896000*li5half*sinf*z2 - 
    42336000*li4half*ln2*sinf*z2 - 2704800*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 + 
    119145600*li4half*z2^2 + 12902400*ln2^4*z2^2 + 19992000*ln2^3*sinf*z2^2 - 
    1764000*ln2^2*sinf^2*z2^2 - 18446400*ln2^2*z2^3 + 
    53222400*ln2*sinf*z2^3 - 12348000*sinf^2*z2^3 + 30324708*z2^4 + 
    262080000*li5half*z3 - 137592000*li4half*ln2*z3 - 7917000*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 - 7560000*ln2^3*z2*z3 - 
    79380000*ln2^2*sinf*z2*z3 + 15876000*ln2*sinf^2*z2*z3 + 
    34788600*ln2*z2^2*z3 - 33793200*sinf*z2^2*z3 - 58558500*ln2^2*z3^2 + 
    30618000*ln2*sinf*z3^2 + 7056000*sinf^2*z3^2 - 109966500*z2*z3^2 + 
    41013000*ln2^2*sinf*z5 - 413626500*ln2*z2*z5 - 313488000*sinf*z2*z5 - 
    163193625*z3*z5 + 533381625*sinf*z7)/28224000, 
 H[1, 1, 0, 1, -1, -1, 1, -1, 1] -> 
  (-254016000*li4half^2 + 56448000*li8half - 508032000*li7half*ln2 - 
    197568000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    484400*ln2^8 - 39312000*ln2^2*s6 - 60480000*ln2*s7a + 292320000*ln2*s7b - 
    332737650*s8a - 1452528000*s8b - 124992000*s8c - 213696000*s8d - 
    1016064000*li7half*sinf - 395136000*li6half*ln2*sinf - 
    84672000*li5half*ln2^2*sinf + 28224000*li4half*ln2^3*sinf + 
    1534400*ln2^7*sinf - 28224000*ln2*s6*sinf - 296352000*s7a*sinf + 
    296352000*s7b*sinf - 84672000*li5half*ln2*sinf^2 + 705600*ln2^6*sinf^2 - 
    49392000*s6*sinf^2 + 197568000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    4508000*ln2^6*z2 + 808416000*s6*z2 + 84672000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 14347200*ln2^5*sinf*z2 + 
    84672000*li4half*sinf^2*z2 + 1764000*ln2^4*sinf^2*z2 + 
    240912000*li4half*z2^2 + 28795200*ln2^4*z2^2 + 23990400*ln2^3*sinf*z2^2 - 
    41277600*ln2^2*sinf^2*z2^2 - 105285600*ln2^2*z2^3 + 
    16682400*ln2*sinf*z2^3 - 34020000*sinf^2*z2^3 - 27640224*z2^4 + 
    335664000*li5half*z3 - 127008000*li4half*ln2*z3 + 2612400*ln2^5*z3 - 
    296352000*li4half*sinf*z3 + 10290000*ln2^4*sinf*z3 + 
    12348000*ln2^3*sinf^2*z3 - 34944000*ln2^3*z2*z3 - 
    37044000*ln2^2*sinf*z2*z3 + 74088000*ln2*sinf^2*z2*z3 + 
    117910800*ln2*z2^2*z3 + 59270400*sinf*z2^2*z3 - 55818000*ln2^2*z3^2 - 
    366030000*ln2*sinf*z3^2 - 9261000*sinf^2*z3^2 + 171801000*z2*z3^2 - 
    273420000*ln2^3*z5 - 410130000*ln2^2*sinf*z5 + 164052000*ln2*sinf^2*z5 - 
    863856000*ln2*z2*z5 - 1053108000*sinf*z2*z5 - 730941750*z3*z5 + 
    2848978125*ln2*z7 + 2375942625*sinf*z7)/56448000, 
 H[1, 1, 0, 1, -1, -1, 0, 1, 1] -> 
  (-254016000*li4half^2 - 21168000*li4half*ln2^4 - 441000*ln2^8 - 
    41328000*ln2^2*s6 + 100782675*s8a + 475272000*s8b + 82656000*s8c - 
    82656000*s8d - 131040000*ln2*s6*sinf + 131040000*s7a*sinf + 
    215712000*s7b*sinf + 91728000*s6*sinf^2 - 56448000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 + 39200*ln2^6*z2 + 
    130032000*s6*z2 - 225792000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*
     z2 - 5174400*ln2^5*sinf*z2 + 93542400*li4half*z2^2 + 
    12717600*ln2^4*z2^2 + 23520000*ln2^3*sinf*z2^2 + 
    5292000*ln2^2*sinf^2*z2^2 - 41227200*ln2^2*z2^3 - 
    26157600*ln2*sinf*z2^3 + 10012800*sinf^2*z2^3 + 45473928*z2^4 + 
    758016000*li5half*z3 + 105840000*li4half*ln2*z3 - 1906800*ln2^5*z3 + 
    105840000*li4half*sinf*z3 + 4410000*ln2^4*sinf*z3 - 
    20916000*ln2^3*z2*z3 - 149940000*ln2^2*sinf*z2*z3 - 
    100548000*ln2*sinf^2*z2*z3 - 34990200*ln2*z2^2*z3 - 
    182498400*sinf*z2^2*z3 + 19246500*ln2^2*z3^2 + 225540000*ln2*sinf*z3^2 - 
    2425500*sinf^2*z3^2 - 173565000*z2*z3^2 - 82026000*ln2^2*sinf*z5 - 
    329994000*ln2*z2*z5 - 561330000*sinf*z2*z5 - 407113875*z3*z5 + 
    1764874125*sinf*z7)/56448000, H[1, 1, 0, 1, -1, -1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    3696000*ln2^2*s6 + 7569975*s8a - 49224000*s8b + 7392000*s8c - 
    7392000*s8d + 1344000*ln2*s6*sinf - 1344000*s7a*sinf - 
    48384000*s7b*sinf - 7056000*s6*sinf^2 - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 38304000*s6*z2 + 37632000*li5half*sinf*z2 - 
    313600*ln2^5*sinf*z2 - 9408000*li4half*sinf^2*z2 - 
    392000*ln2^4*sinf^2*z2 - 39580800*li4half*z2^2 + 1878800*ln2^4*z2^2 + 
    3136000*ln2^3*sinf*z2^2 + 7644000*ln2^2*sinf^2*z2^2 + 
    11222400*ln2^2*z2^3 + 134400*ln2*sinf*z2^3 + 3774400*sinf^2*z2^3 + 
    9523776*z2^4 - 88704000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    1915200*ln2^5*z3 - 2352000*li4half*sinf*z3 - 98000*ln2^4*sinf*z3 - 
    14448000*ln2^3*z2*z3 + 588000*ln2^2*sinf*z2*z3 - 
    7056000*ln2*sinf^2*z2*z3 - 29345400*ln2*z2^2*z3 + 25435200*sinf*z2^2*z3 + 
    7192500*ln2^2*z3^2 + 14784000*ln2*sinf*z3^2 - 220500*sinf^2*z3^2 + 
    3349500*z2*z3^2 + 45570000*ln2^2*sinf*z5 - 22176000*ln2*z2*z5 + 
    135366000*sinf*z2*z5 + 61669125*z3*z5 - 341570250*sinf*z7)/9408000, 
 H[1, 1, 0, 1, -1, -1, 0, -1, 1] -> 
  (-169344000*li4half^2 - 4515840000*li8half - 2709504000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 182000*ln2^8 + 567504000*ln2^2*s6 - 
    756000000*ln2*s7a + 316512000*ln2*s7b - 783297900*s8a - 7495488000*s8b - 
    229824000*s8c - 1237824000*s8d - 2709504000*li7half*sinf - 
    1354752000*li6half*ln2*sinf - 225792000*li5half*ln2^2*sinf + 
    537600*ln2^7*sinf - 356832000*ln2*s6*sinf - 249984000*s7a*sinf + 
    963648000*s7b*sinf - 677376000*li6half*sinf^2 - 
    225792000*li5half*ln2*sinf^2 + 940800*ln2^6*sinf^2 - 
    225792000*s6*sinf^2 + 1326528000*li6half*z2 + 338688000*li5half*ln2*z2 - 
    1293600*ln2^6*z2 + 3766896000*s6*z2 + 112896000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 6350400*ln2^5*sinf*z2 - 
    127008000*li4half*sinf^2*z2 - 9996000*ln2^4*sinf^2*z2 - 
    251798400*li4half*z2^2 + 680400*ln2^4*z2^2 + 30576000*ln2^3*sinf*z2^2 + 
    79732800*ln2^2*sinf^2*z2^2 - 172771200*ln2^2*z2^3 + 
    48585600*ln2*sinf*z2^3 + 140834400*sinf^2*z2^3 + 428506896*z2^4 + 
    2278080000*li5half*z3 - 105840000*li4half*ln2*z3 - 23394000*ln2^5*z3 + 
    486864000*li4half*sinf*z3 + 20286000*ln2^4*sinf*z3 + 
    187488000*ln2^3*z2*z3 - 183456000*ln2^2*sinf*z2*z3 - 
    158760000*ln2*sinf^2*z2*z3 + 806929200*ln2*z2^2*z3 - 
    531946800*sinf*z2^2*z3 - 754141500*ln2^2*z3^2 + 4599000*ln2*sinf*z3^2 + 
    134505000*sinf^2*z3^2 + 175014000*z2*z3^2 - 1016211000*ln2^3*z5 - 
    1107351000*ln2^2*sinf*z5 + 68355000*ln2*sinf^2*z5 - 451521000*ln2*z2*z5 - 
    2899512000*sinf*z2*z5 - 1371762000*z3*z5 + 2540451375*ln2*z7 + 
    7703876250*sinf*z7)/56448000, H[1, 1, 0, 1, -1, -1, -1, 1, 1] -> 
  (6773760*li4half^2 + 2257920*li8half - 2257920*li6half*ln2^2 + 
    1411200*li4half*ln2^4 + 43960*ln2^8 - 6854400*ln2^2*s6 + 7094115*s8a + 
    32114880*s8b + 6370560*s8c - 725760*s8d + 24837120*li7half*sinf - 
    2257920*li5half*ln2^2*sinf + 376320*li4half*ln2^3*sinf + 
    29568*ln2^7*sinf - 7176960*ln2*s6*sinf + 7176960*s7a*sinf - 
    4112640*s7b*sinf + 3386880*li6half*sinf^2 - 564480*li4half*ln2^2*sinf^2 - 
    18816*ln2^6*sinf^2 + 3386880*s6*sinf^2 - 1128960*li6half*z2 + 
    4515840*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 - 323008*ln2^6*z2 - 
    1088640*s6*z2 + 2257920*li5half*sinf*z2 + 2257920*li4half*ln2*sinf*z2 - 
    103488*ln2^5*sinf*z2 - 1693440*li4half*sinf^2*z2 - 
    141120*ln2^4*sinf^2*z2 - 5733504*li4half*z2^2 + 382032*ln2^4*z2^2 - 
    301056*ln2^3*sinf*z2^2 - 268128*ln2^2*sinf^2*z2^2 + 3338496*ln2^2*z2^3 + 
    1251936*ln2*sinf*z2^3 + 231840*sinf^2*z2^3 + 2492352*z2^4 - 
    7580160*li5half*z3 + 5927040*li4half*ln2*z3 + 738192*ln2^5*z3 + 
    4233600*li4half*sinf*z3 + 1081920*ln2^4*sinf*z3 + 
    493920*ln2^3*sinf^2*z3 - 4418400*ln2^3*z2*z3 - 2540160*ln2^2*sinf*z2*z3 - 
    2963520*ln2*sinf^2*z2*z3 - 11048184*ln2*z2^2*z3 - 2331504*sinf*z2^2*z3 + 
    4246200*ln2^2*z3^2 + 12428640*ln2*sinf*z3^2 - 158760*sinf^2*z3^2 - 
    10475640*z2*z3^2 + 5286120*ln2^3*z5 + 18045720*ln2^2*sinf*z5 - 
    33329520*ln2*z2*z5 + 5324760*sinf*z2*z5 + 23085405*z3*z5 - 
    26049555*sinf*z7)/2257920, H[1, 1, 0, 1, -1, -1, -1, 0, 1] -> 
  (52617600*ln2^2*s6 - 76285125*s8a - 222667200*s8b - 105235200*s8c + 
    65721600*s8d + 8467200*ln2*s6*sinf - 8467200*s7a*sinf - 
    28224000*s7b*sinf + 22579200*li6half*sinf^2 + 31360*ln2^6*sinf^2 - 
    2822400*s6*sinf^2 - 112896000*li6half*z2 - 11289600*li5half*ln2*z2 + 
    33868800*li4half*ln2^2*z2 + 1348480*ln2^6*z2 - 172368000*s6*z2 - 
    56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 
    2822400*li4half*sinf^2*z2 - 352800*ln2^4*sinf^2*z2 + 
    19918080*li4half*z2^2 - 6226080*ln2^4*z2^2 - 2587200*ln2^3*sinf*z2^2 - 
    3386880*ln2^2*sinf^2*z2^2 - 9646560*ln2^2*z2^3 - 18910080*ln2*sinf*z2^3 - 
    4324320*sinf^2*z2^3 - 33379272*z2^4 - 55238400*li5half*z3 - 
    33868800*li4half*ln2*z3 - 950880*ln2^5*z3 - 8467200*li4half*sinf*z3 - 
    352800*ln2^4*sinf*z3 + 29383200*ln2^3*z2*z3 + 36691200*ln2^2*sinf*z2*z3 + 
    15876000*ln2*sinf^2*z2*z3 + 69705720*ln2*z2^2*z3 + 
    21979440*sinf*z2^2*z3 + 4920300*ln2^2*z3^2 - 30340800*ln2*sinf*z3^2 - 
    6394500*sinf^2*z3^2 + 132507900*z2*z3^2 + 19139400*ln2^2*sinf*z5 + 
    430542000*ln2*z2*z5 + 174106800*sinf*z2*z5 - 28946925*z3*z5 - 
    250686450*sinf*z7)/11289600, H[1, 1, 0, 1, -1, -1, -1, -1, 1] -> 
  (-112896000*li4half^2 + 225792000*li8half + 282240000*li7half*ln2 + 
    141120000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 
    30576000*li4half*ln2^4 - 1010800*ln2^8 + 90720000*ln2^2*s6 + 
    24192000*ln2*s7a - 173376000*ln2*s7b + 135272025*s8a + 657720000*s8b + 
    122976000*s8c - 24192000*s8d - 112896000*li7half*sinf + 
    169344000*li6half*ln2*sinf + 84672000*li5half*ln2^2*sinf - 
    9408000*li4half*ln2^3*sinf - 840000*ln2^7*sinf + 127008000*ln2*s6*sinf + 
    42336000*s7a*sinf + 70560000*s7b*sinf - 56448000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 + 
    274400*ln2^6*sinf^2 + 14112000*s6*sinf^2 - 28224000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 7408800*ln2^6*z2 - 
    99792000*s6*z2 - 28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 + 4468800*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 + 
    1176000*ln2^4*sinf^2*z2 + 81244800*li4half*z2^2 - 11726400*ln2^4*z2^2 + 
    4233600*ln2^3*sinf*z2^2 + 21520800*ln2^2*sinf^2*z2^2 - 
    45460800*ln2^2*z2^3 - 655200*ln2*sinf*z2^3 + 20966400*sinf^2*z2^3 + 
    26531784*z2^4 + 111888000*li5half*z3 - 162288000*li4half*ln2*z3 - 
    18396000*ln2^5*z3 + 42336000*li4half*sinf*z3 - 20874000*ln2^4*sinf*z3 - 
    12348000*ln2^3*sinf^2*z3 + 107520000*ln2^3*z2*z3 + 
    26460000*ln2^2*sinf*z2*z3 + 99376200*ln2*z2^2*z3 - 
    36162000*sinf*z2^2*z3 - 141183000*ln2^2*z3^2 - 84672000*ln2*sinf*z3^2 - 
    3748500*sinf^2*z3^2 - 30933000*z2*z3^2 + 13671000*ln2^3*z5 - 
    341775000*ln2^2*sinf*z5 - 136710000*ln2*sinf^2*z5 + 597681000*ln2*z2*z5 - 
    71442000*sinf*z2*z5 - 393017625*z3*z5 - 1896567750*ln2*z7 + 
    342160875*sinf*z7)/56448000, H[1, 1, 0, 0, 1, 1, 1, 1, 1] -> 
  (-140*s8a + 12*sinf^2*z2^3 + 132*z2^4 + 168*sinf*z2^2*z3 - 35*sinf^2*z3^2 + 
    35*z2*z3^2 - 700*z3*z5 - 560*sinf*z7)/140, 
 H[1, 1, 0, 0, 1, 1, 1, 0, 1] -> (-220*sinf^2*z2^3 - 132*z2^4 - 
    1008*sinf*z2^2*z3 + 630*sinf^2*z3^2 - 630*z2*z3^2 - 1680*sinf*z2*z5 + 
    1680*z3*z5 + 6405*sinf*z7)/840, H[1, 1, 0, 0, 1, 1, 1, -1, 1] -> 
  (-4032000*li4half^2 + 32256000*li7half*ln2 + 16128000*li6half*ln2^2 + 
    2688000*li5half*ln2^3 - 336000*li4half*ln2^4 - 13400*ln2^8 + 
    8784000*ln2^2*s6 - 5760000*ln2*s7a - 7776000*ln2*s7b - 9705150*s8a - 
    32256000*s8b - 4032000*s8c - 4032000*s8d + 32256000*li7half*sinf + 
    32256000*li6half*ln2*sinf + 8064000*li5half*ln2^2*sinf - 
    28800*ln2^7*sinf + 2592000*ln2*s6*sinf - 576000*s7a*sinf + 
    9504000*s7b*sinf + 16128000*li6half*sinf^2 + 8064000*li5half*ln2*sinf^2 - 
    44800*ln2^6*sinf^2 + 7056000*s6*sinf^2 - 32256000*li6half*z2 - 
    16128000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 196000*ln2^6*z2 + 
    4032000*s6*z2 - 8064000*li5half*sinf*z2 + 201600*ln2^5*sinf*z2 - 
    2016000*li4half*sinf^2*z2 + 252000*ln2^4*sinf^2*z2 + 
    2217600*li4half*z2^2 - 831600*ln2^4*z2^2 - 2822400*ln2^3*sinf*z2^2 - 
    252000*ln2^2*sinf^2*z2^2 - 1512000*ln2^2*z2^3 - 2282400*ln2*sinf*z2^3 - 
    2707200*sinf^2*z2^3 + 5530176*z2^4 + 22176000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 478800*ln2^5*z3 + 5040000*li4half*sinf*z3 + 
    210000*ln2^4*sinf*z3 + 5628000*ln2^3*z2*z3 - 1260000*ln2^2*sinf*z2*z3 - 
    6048000*ln2*sinf^2*z2*z3 + 12366000*ln2*z2^2*z3 - 11376000*sinf*z2^2*z3 - 
    3483000*ln2^2*z3^2 + 5580000*ln2*sinf*z3^2 + 1134000*sinf^2*z3^2 + 
    7371000*z2*z3^2 + 3255000*ln2^3*z5 - 5859000*ln2^2*sinf*z5 + 
    3906000*ln2*sinf^2*z5 + 27189000*ln2*z2*z5 - 32139000*sinf*z2*z5 - 
    24302250*z3*z5 - 52932375*ln2*z7 + 60827625*sinf*z7)/8064000, 
 H[1, 1, 0, 0, 1, 1, 0, 1, 1] -> (8400*s8a + 2120*sinf^2*z2^3 - 4712*z2^4 + 
    12600*sinf*z2^2*z3 - 6300*sinf^2*z3^2 - 14700*z2*z3^2 - 4200*sinf*z2*z5 + 
    50400*z3*z5 - 35175*sinf*z7)/8400, H[1, 1, 0, 0, 1, 1, 0, 0, 1] -> 
  (13*z2^4 - 700*sinf*z2^2*z3 + 350*sinf^2*z3^2 + 1050*z2*z3^2 + 
    700*sinf*z2*z5 - 1400*z3*z5 - 350*sinf*z7)/1400, 
 H[1, 1, 0, 0, 1, 1, 0, -1, 1] -> (-336000*ln2^2*s6 + 672000*ln2*s7a - 
    672000*ln2*s7b + 1617525*s8a + 5376000*s8b + 672000*s8c + 672000*s8d + 
    672000*ln2*s6*sinf + 672000*s7a*sinf - 672000*s7b*sinf + 
    672000*s6*sinf^2 - 3360000*s6*z2 + 134400*li4half*z2^2 + 
    5600*ln2^4*z2^2 + 100800*ln2^2*z2^3 - 117600*ln2*sinf*z2^3 + 
    230800*sinf^2*z2^3 - 518596*z2^4 - 1344000*li5half*z3 + 11200*ln2^5*z3 - 
    112000*ln2^3*z2*z3 - 676200*ln2*z2^2*z3 + 672000*sinf*z2^2*z3 + 
    420000*ln2^2*z3^2 + 189000*ln2*sinf*z3^2 - 493500*sinf^2*z3^2 - 
    535500*z2*z3^2 + 868000*ln2^3*z5 - 1302000*ln2*sinf^2*z5 + 
    2604000*ln2*z2*z5 + 2982000*sinf*z2*z5 + 3331125*z3*z5 - 3333750*ln2*z7 - 
    6373500*sinf*z7)/1344000, H[1, 1, 0, 0, 1, 1, -1, 1, 1] -> 
  (-169344000*li4half^2 + 564480000*li8half + 37632000*li5half*ln2^3 - 
    5600*ln2^8 - 51408000*ln2^2*s6 + 183725325*s8a + 654696000*s8b + 
    102816000*s8c + 66528000*s8d + 225792000*li7half*sinf + 
    56448000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    1052800*ln2^7*sinf - 245952000*ln2*s6*sinf + 245952000*s7a*sinf - 
    135072000*s7b*sinf + 28224000*li4half*ln2^2*sinf^2 + 
    1176000*ln2^6*sinf^2 - 70560000*s6*sinf^2 - 112896000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 - 147168000*s6*z2 - 
    56448000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    7996800*ln2^5*sinf*z2 - 56448000*li4half*sinf^2*z2 - 
    9408000*ln2^4*sinf^2*z2 + 2016000*li4half*z2^2 + 8316000*ln2^4*z2^2 + 
    68678400*ln2^3*sinf*z2^2 + 23284800*ln2^2*sinf^2*z2^2 + 
    2469600*ln2^2*z2^3 + 28879200*ln2*sinf*z2^3 + 21672000*sinf^2*z2^3 - 
    61167168*z2^4 + 64512000*li5half*z3 - 537600*ln2^5*z3 + 
    310464000*li4half*sinf*z3 + 12936000*ln2^4*sinf*z3 - 
    36960000*ln2^3*z2*z3 - 77616000*ln2^2*sinf*z2*z3 + 
    5292000*ln2*sinf^2*z2*z3 - 36653400*ln2*z2^2*z3 + 2847600*sinf*z2^2*z3 - 
    25263000*ln2^2*z3^2 + 307440000*ln2*sinf*z3^2 - 13450500*sinf^2*z3^2 - 
    232123500*z2*z3^2 - 27342000*ln2^3*z5 + 328104000*ln2^2*sinf*z5 - 
    226422000*ln2*z2*z5 + 449694000*sinf*z2*z5 + 350681625*z3*z5 - 
    991627875*sinf*z7)/56448000, H[1, 1, 0, 0, 1, 1, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    1680000*ln2^2*s6 - 1945650*s8a + 34608000*s8b + 3360000*s8c - 
    3360000*s8d + 28896000*ln2*s6*sinf - 28896000*s7a*sinf + 
    18144000*s7b*sinf + 11760000*s6*sinf^2 + 28224000*li5half*ln2*z2 - 
    235200*ln2^6*z2 - 19152000*s6*z2 + 28224000*li5half*sinf*z2 + 
    28224000*li4half*ln2*sinf*z2 + 940800*ln2^5*sinf*z2 + 
    4704000*li4half*sinf^2*z2 + 196000*ln2^4*sinf^2*z2 - 
    15724800*li4half*z2^2 - 67200*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 - 
    6468000*ln2^2*sinf^2*z2^2 + 9088800*ln2^2*z2^3 + 4771200*ln2*sinf*z2^3 - 
    1719200*sinf^2*z2^3 + 7273716*z2^4 - 42672000*li5half*z3 + 
    355600*ln2^5*z3 - 30576000*li4half*sinf*z3 - 1274000*ln2^4*sinf*z3 - 
    3556000*ln2^3*z2*z3 + 7644000*ln2^2*sinf*z2*z3 - 16182600*ln2*z2^2*z3 - 
    1894200*sinf*z2^2*z3 - 472500*ln2^2*z3^2 - 36120000*ln2*sinf*z3^2 - 
    147000*sinf^2*z3^2 + 16406250*z2*z3^2 - 45570000*ln2^2*sinf*z5 - 
    30586500*ln2*z2*z5 - 83800500*sinf*z2*z5 - 12670875*z3*z5 + 
    104784750*sinf*z7)/9408000, H[1, 1, 0, 0, 1, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 1693440000*li8half + 1128960000*li7half*ln2 + 
    225792000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 201600*ln2^8 - 341712000*ln2^2*s6 + 
    217728000*ln2*s7a - 417312000*ln2*s7b + 749036925*s8a + 4410504000*s8b + 
    558432000*s8c + 344736000*s8d + 903168000*li7half*sinf + 
    451584000*li6half*ln2*sinf - 37632000*li4half*ln2^3*sinf - 
    1120000*ln2^7*sinf + 169344000*ln2*s6*sinf + 141120000*s7a*sinf - 
    254016000*s7b*sinf + 225792000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    1332800*ln2^6*sinf^2 + 155232000*s6*sinf^2 - 451584000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 2979200*ln2^6*z2 - 
    1451520000*s6*z2 - 56448000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*
     z2 + 6585600*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 + 
    8232000*ln2^4*sinf^2*z2 + 32256000*li4half*z2^2 - 11592000*ln2^4*z2^2 - 
    48921600*ln2^3*sinf*z2^2 - 29635200*ln2^2*sinf^2*z2^2 + 
    109065600*ln2^2*z2^3 - 20563200*ln2*sinf*z2^3 - 31248000*sinf^2*z2^3 - 
    26830872*z2^4 - 604800000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    4452000*ln2^5*z3 - 84672000*li4half*sinf*z3 - 3528000*ln2^4*sinf*z3 - 
    18648000*ln2^3*z2*z3 + 21168000*ln2^2*sinf*z2*z3 - 
    402355800*ln2*z2^2*z3 + 99313200*sinf*z2^2*z3 + 149310000*ln2^2*z3^2 + 
    66150000*ln2*sinf*z3^2 - 55345500*sinf^2*z3^2 - 462483000*z2*z3^2 + 
    619752000*ln2^3*z5 + 355446000*ln2^2*sinf*z5 - 68355000*ln2*sinf^2*z5 - 
    333900000*ln2*z2*z5 + 826875000*sinf*z2*z5 + 466255125*z3*z5 - 
    3168514125*ln2*z7 - 2131794000*sinf*z7)/56448000, 
 H[1, 1, 0, 0, 1, 0, 1, 1, 1] -> (48300*s8a - 10150*sinf^2*z2^3 - 
    56162*z2^4 - 107100*sinf*z2^2*z3 + 31500*sinf^2*z3^2 + 31500*z2*z3^2 + 
    231000*z3*z5 + 343875*sinf*z7)/21000, H[1, 1, 0, 0, 1, 0, 1, 0, 1] -> 
  (-75600*s8a + 24000*sinf^2*z2^3 + 61574*z2^4 + 130200*sinf*z2^2*z3 - 
    84000*sinf^2*z3^2 + 126000*z2*z3^2 + 231000*sinf*z2*z5 - 567000*z3*z5 - 
    763875*sinf*z7)/42000, H[1, 1, 0, 0, 1, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    122976000*ln2^2*s6 + 143136000*ln2*s7a - 40320000*ln2*s7b + 
    156088800*s8a + 928872000*s8b + 100800000*s8c + 124992000*s8d + 
    110880000*ln2*s6*sinf + 30240000*s7a*sinf - 153216000*s7b*sinf + 
    14112000*s6*sinf^2 - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    447552000*s6*z2 + 28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 - 
    17337600*li4half*z2^2 + 2805600*ln2^4*z2^2 - 7056000*ln2^2*sinf^2*z2^2 + 
    39916800*ln2^2*z2^3 - 14414400*ln2*sinf*z2^3 - 142800*sinf^2*z2^3 - 
    1440372*z2^4 - 249984000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    6199200*ln2^5*z3 - 70560000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 - 
    45528000*ln2^3*z2*z3 + 17640000*ln2^2*sinf*z2*z3 + 
    63504000*ln2*sinf^2*z2*z3 - 98506800*ln2*z2^2*z3 + 
    116020800*sinf*z2^2*z3 + 104328000*ln2^2*z3^2 - 83034000*ln2*sinf*z3^2 - 
    32193000*sinf^2*z3^2 - 53109000*z2*z3^2 + 145824000*ln2^3*z5 + 
    82026000*ln2^2*sinf*z5 - 95697000*ln2*sinf^2*z5 - 8001000*ln2*z2*z5 + 
    551502000*sinf*z2*z5 + 169800750*z3*z5 - 423446625*ln2*z7 - 
    1085167125*sinf*z7)/28224000, H[1, 1, 0, 0, 1, 0, 0, 1, 1] -> 
  (56700*s8a - 1200*sinf^2*z2^3 - 16333*z2^4 - 10500*sinf*z2^2*z3 + 
    5250*sinf^2*z3^2 - 15750*z2*z3^2 + 94500*sinf*z2*z5 + 84000*z3*z5 - 
    133875*sinf*z7)/21000, H[1, 1, 0, 0, 1, 0, 0, 0, 1] -> 
  (-875*s8a - 400*sinf^2*z2^3 + 476*z2^4 - 140*sinf*z2^2*z3 - 175*z2*z3^2 - 
    2100*sinf*z2*z5 - 700*z3*z5 + 5950*sinf*z7)/350, 
 H[1, 1, 0, 0, 1, 0, 0, -1, 1] -> (1680000*ln2^2*s6 - 3360000*ln2*s7a + 
    2284800*ln2*s7b - 4904025*s8a - 27484800*s8b - 2284800*s8c - 
    3360000*s8d - 2284800*ln2*s6*sinf - 3360000*s7a*sinf + 2284800*s7b*sinf - 
    2822400*s6*sinf^2 + 15187200*s6*z2 - 672000*li4half*z2^2 - 
    28000*ln2^4*z2^2 - 504000*ln2^2*z2^3 + 399840*ln2*sinf*z2^3 - 
    737520*sinf^2*z2^3 + 667228*z2^4 + 6720000*li5half*z3 - 56000*ln2^5*z3 + 
    560000*ln2^3*z2*z3 + 3105480*ln2*z2^2*z3 - 1585920*sinf*z2^2*z3 - 
    2100000*ln2^2*z3^2 - 642600*ln2*sinf*z3^2 + 1543500*sinf^2*z3^2 + 
    375900*z2*z3^2 - 3645600*ln2^3*z5 + 5468400*ln2*sinf^2*z5 - 
    10970400*ln2*z2*z5 - 10239600*sinf*z2*z5 - 3564225*z3*z5 + 
    19985700*ln2*z7 + 17582250*sinf*z7)/940800, 
 H[1, 1, 0, 0, 1, 0, -1, 1, 1] -> (856800*ln2^2*s6 - 399000*s8a - 
    504000*s8b - 1008000*s8c + 302400*s8d + 1579200*ln2*s6*sinf - 
    1579200*s7a*sinf - 873600*s7b*sinf + 588000*s6*sinf^2 - 1192800*s6*z2 + 
    940800*li4half*sinf^2*z2 + 39200*ln2^4*sinf^2*z2 + 1377600*li4half*z2^2 + 
    57400*ln2^4*z2^2 - 235200*ln2^2*sinf^2*z2^2 - 460320*ln2^2*z2^3 - 
    359520*ln2*sinf*z2^3 - 281680*sinf^2*z2^3 - 595226*z2^4 - 
    604800*li5half*z3 + 5040*ln2^5*z3 - 3763200*li4half*sinf*z3 - 
    156800*ln2^4*sinf*z3 - 50400*ln2^3*z2*z3 + 940800*ln2^2*sinf*z2*z3 + 
    176400*ln2*sinf^2*z2*z3 + 215460*ln2*z2^2*z3 + 1344840*sinf*z2^2*z3 + 
    472500*ln2^2*z3^2 - 1974000*ln2*sinf*z3^2 - 51450*sinf^2*z3^2 + 
    1601250*z2*z3^2 - 455700*ln2^3*z5 - 1367100*ln2^2*sinf*z5 + 
    4743900*ln2*z2*z5 + 3227700*sinf*z2*z5 - 2514225*z3*z5 - 6274275*sinf*z7)/
   470400, H[1, 1, 0, 0, 1, 0, -1, 0, 1] -> 
  (-36225*s8a + 60480*s6*z2 - 240*sinf^2*z2^3 + 22468*z2^4 + 
    14448*sinf*z2^2*z3 - 5040*sinf^2*z3^2 - 35700*z2*z3^2 - 
    117180*ln2*z2*z5 - 56700*sinf*z2*z5 - 16380*z3*z5 + 75495*sinf*z7)/26880, 
 H[1, 1, 0, 0, 1, 0, -1, -1, 1] -> (6720000*ln2^2*s6 - 13440000*ln2*s7a + 
    38304000*ln2*s7b - 53150475*s8a - 221424000*s8b - 38304000*s8c - 
    13440000*s8d - 18144000*ln2*s6*sinf - 19488000*s7a*sinf + 
    18144000*s7b*sinf - 11760000*s6*sinf^2 + 83328000*s6*z2 - 
    2688000*li4half*z2^2 - 112000*ln2^4*z2^2 - 2016000*ln2^2*z2^3 + 
    3175200*ln2*sinf*z2^3 - 2892400*sinf^2*z2^3 + 687604*z2^4 + 
    26880000*li5half*z3 - 224000*ln2^5*z3 + 2240000*ln2^3*z2*z3 + 
    19895400*ln2*z2^2*z3 - 7509600*sinf*z2^2*z3 - 8400000*ln2^2*z3^2 - 
    5103000*ln2*sinf*z3^2 + 5659500*sinf^2*z3^2 + 26302500*z2*z3^2 - 
    33418000*ln2^3*z5 + 22785000*ln2*sinf^2*z5 - 58464000*ln2*z2*z5 - 
    77259000*sinf*z2*z5 - 42763875*z3*z5 + 243752250*ln2*z7 + 
    125364750*sinf*z7)/9408000, H[1, 1, 0, 0, 1, -1, 1, 1, 1] -> 
  (-32256000*li8half - 1344000*li5half*ln2^3 + 10400*ln2^8 - 
    1008000*ln2^2*s6 + 5602275*s8a - 9576000*s8b + 2016000*s8c - 
    11088000*s8d - 24192000*li7half*sinf + 4800*ln2^7*sinf + 
    15120000*ln2*s6*sinf - 15120000*s7a*sinf + 18144000*s7b*sinf - 
    8064000*li6half*sinf^2 - 11200*ln2^6*sinf^2 + 4536000*s6*sinf^2 + 
    8064000*li6half*z2 + 4032000*li5half*ln2*z2 - 112000*ln2^6*z2 + 
    22176000*s6*z2 - 100800*ln2^5*sinf*z2 + 6048000*li4half*sinf^2*z2 + 
    420000*ln2^4*sinf^2*z2 + 6249600*li4half*z2^2 + 428400*ln2^4*z2^2 - 
    3225600*ln2^3*sinf*z2^2 - 1688400*ln2^2*sinf^2*z2^2 - 
    2253600*ln2^2*z2^3 - 3499200*ln2*sinf*z2^3 - 1432800*sinf^2*z2^3 - 
    2969136*z2^4 + 15120000*li5half*z3 + 226800*ln2^5*z3 - 
    24192000*li4half*sinf*z3 - 126000*ln2^4*sinf*z3 + 
    588000*ln2^3*sinf^2*z3 + 168000*ln2^3*z2*z3 + 756000*ln2^2*sinf*z2*z3 - 
    1764000*ln2*sinf^2*z2*z3 - 6211800*ln2*z2^2*z3 - 14212800*sinf*z2^2*z3 - 
    283500*ln2^2*z3^2 - 18900000*ln2*sinf*z3^2 + 3496500*sinf^2*z3^2 + 
    8064000*z2*z3^2 + 976500*ln2^3*z5 - 32224500*ln2^2*sinf*z5 - 
    8977500*ln2*z2*z5 - 54337500*sinf*z2*z5 - 1417500*z3*z5 + 
    169194375*sinf*z7)/4032000, H[1, 1, 0, 0, 1, -1, 1, 0, 1] -> 
  (2016000*ln2^2*s6 - 12209400*s8a - 47880000*s8b - 4032000*s8c + 
    4032000*s8d - 15724800*ln2*s6*sinf + 15724800*s7a*sinf - 
    40723200*s7b*sinf - 14112000*s6*sinf^2 + 22579200*li6half*z2 - 
    5644800*li5half*ln2*z2 + 78400*ln2^6*z2 + 35683200*s6*z2 + 
    11289600*li5half*sinf*z2 - 94080*ln2^5*sinf*z2 + 806400*li4half*z2^2 - 
    907200*ln2^4*z2^2 + 940800*ln2^3*sinf*z2^2 + 6350400*ln2^2*sinf^2*z2^2 - 
    6390720*ln2^2*z2^3 - 2278080*ln2*sinf*z2^3 + 924000*sinf^2*z2^3 + 
    500436*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 + 5090400*ln2^3*z2*z3 + 
    9878400*ln2^2*sinf*z2*z3 + 2469600*ln2*sinf^2*z2*z3 - 
    655200*ln2*z2^2*z3 + 25890480*sinf*z2^2*z3 + 567000*ln2^2*z3^2 + 
    19656000*ln2*sinf*z3^2 - 1411200*sinf^2*z3^2 + 1524600*z2*z3^2 + 
    54684000*ln2^2*sinf*z5 + 16197300*ln2*z2*z5 + 135412200*sinf*z2*z5 - 
    20493900*z3*z5 - 303664725*sinf*z7)/5644800, 
 H[1, 1, 0, 0, 1, -1, 1, -1, 1] -> 
  (225792000*li8half - 112896000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    50400*ln2^8 + 4536000*ln2^2*s6 + 28224000*ln2*s7a + 84672000*ln2*s7b - 
    41583150*s8a + 58968000*s8b - 72576000*s8c + 65520000*s8d + 
    56448000*li7half*sinf - 112896000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf + 67200*ln2^7*sinf - 96768000*ln2*s6*sinf + 
    89712000*s7a*sinf - 129024000*s7b*sinf - 28224000*li5half*ln2*sinf^2 + 
    235200*ln2^6*sinf^2 + 56448000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    392000*ln2^6*z2 - 123984000*s6*z2 + 28224000*li5half*sinf*z2 - 
    2352000*ln2^4*sinf^2*z2 + 13104000*li4half*z2^2 + 1722000*ln2^4*z2^2 + 
    32457600*ln2^3*sinf*z2^2 + 3880800*ln2^2*sinf^2*z2^2 - 
    2973600*ln2^2*z2^3 + 18950400*ln2*sinf*z2^3 + 5594400*sinf^2*z2^3 - 
    43688124*z2^4 - 166320000*li5half*z3 - 1083600*ln2^5*z3 - 
    6174000*ln2^4*sinf*z3 - 4116000*ln2^3*sinf^2*z3 - 13272000*ln2^3*z2*z3 + 
    37044000*ln2^2*sinf*z2*z3 + 33516000*ln2*sinf^2*z2*z3 + 
    9903600*ln2*z2^2*z3 + 65494800*sinf*z2^2*z3 + 6678000*ln2^2*z3^2 + 
    34524000*ln2*sinf*z3^2 - 13230000*sinf^2*z3^2 + 89712000*z2*z3^2 - 
    82026000*ln2^3*z5 + 150381000*ln2^2*sinf*z5 - 61519500*ln2*sinf^2*z5 + 
    110785500*ln2*z2*z5 + 447363000*sinf*z2*z5 - 85955625*z3*z5 + 
    295800750*ln2*z7 - 920611125*sinf*z7)/28224000, 
 H[1, 1, 0, 0, 1, -1, 0, 1, 1] -> (6048000*ln2^2*s6 - 2398725*s8a - 
    45360000*s8b - 12096000*s8c + 12096000*s8d - 3168000*ln2*s6*sinf + 
    3168000*s7a*sinf + 3168000*s7b*sinf - 10080000*s6*sinf^2 - 
    16128000*li6half*z2 - 8064000*li5half*ln2*z2 + 44800*ln2^6*z2 - 
    19152000*s6*z2 - 8064000*li5half*sinf*z2 + 67200*ln2^5*sinf*z2 - 
    8064000*li4half*sinf^2*z2 - 336000*ln2^4*sinf^2*z2 - 
    8870400*li4half*z2^2 - 705600*ln2^4*z2^2 - 672000*ln2^3*sinf*z2^2 + 
    2016000*ln2^2*sinf^2*z2^2 + 2520000*ln2^2*z2^3 + 4471200*ln2*sinf*z2^3 + 
    2013600*sinf^2*z2^3 - 4901376*z2^4 - 3024000*li5half*z3 + 
    25200*ln2^5*z3 + 32256000*li4half*sinf*z3 + 1344000*ln2^4*sinf*z3 + 
    924000*ln2^3*z2*z3 - 4536000*ln2^2*sinf*z2*z3 + 
    3528000*ln2*sinf^2*z2*z3 + 14716800*ln2*z2^2*z3 - 5648400*sinf*z2^2*z3 + 
    1701000*ln2^2*z3^2 + 3960000*ln2*sinf*z3^2 + 409500*sinf^2*z3^2 + 
    1228500*z2*z3^2 + 42147000*ln2*z2*z5 + 10287000*sinf*z2*z5 + 
    41359500*z3*z5 - 23879250*sinf*z7)/4032000, 
 H[1, 1, 0, 0, 1, -1, 0, 0, 1] -> (-672000*ln2^2*s6 + 98175*s8a + 
    6048000*s8b + 1344000*s8c - 1344000*s8d - 672000*ln2*s6*sinf + 
    672000*s7a*sinf + 672000*s7b*sinf + 2016000*s6*sinf^2 - 2688000*s6*z2 - 
    268800*li4half*z2^2 - 11200*ln2^4*z2^2 + 33600*ln2^2*z2^3 - 
    1394400*ln2*sinf*z2^3 - 266400*sinf^2*z2^3 + 976308*z2^4 + 
    336000*li5half*z3 - 2800*ln2^5*z3 + 28000*ln2^3*z2*z3 + 
    142800*ln2*z2^2*z3 - 1092000*sinf*z2^2*z3 - 189000*ln2^2*z3^2 + 
    840000*ln2*sinf*z3^2 - 409500*sinf^2*z3^2 + 357000*z2*z3^2 - 
    4032000*ln2*z2*z5 - 5565000*sinf*z2*z5 - 3554250*z3*z5 + 
    16191000*sinf*z7)/672000, H[1, 1, 0, 0, 1, -1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    91728000*ln2^2*s6 - 2016000*ln2*s7a - 86688000*ln2*s7b + 158092200*s8a + 
    679392000*s8b + 159264000*s8c + 38304000*s8d + 28224000*ln2*s6*sinf - 
    56448000*s7a*sinf - 141120000*s7b*sinf - 56448000*s6*sinf^2 - 
    56448000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 - 122472000*s6*z2 - 
    28224000*li5half*sinf*z2 + 235200*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 - 
    34675200*li4half*z2^2 + 907200*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 - 
    7056000*ln2^2*sinf^2*z2^2 + 29030400*ln2^2*z2^3 - 
    65620800*ln2*sinf*z2^3 - 23721600*sinf^2*z2^3 + 26019372*z2^4 - 
    27216000*li5half*z3 + 98784000*li4half*ln2*z3 + 4342800*ln2^5*z3 - 
    70560000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 - 22848000*ln2^3*z2*z3 + 
    29988000*ln2^2*sinf*z2*z3 + 12348000*ln2*sinf^2*z2*z3 - 
    97637400*ln2*z2^2*z3 + 60681600*sinf*z2^2*z3 + 25137000*ln2^2*z3^2 + 
    29547000*ln2*sinf*z3^2 + 21609000*sinf^2*z3^2 - 205663500*z2*z3^2 + 
    127596000*ln2^3*z5 + 218736000*ln2^2*sinf*z5 + 136710000*ln2*sinf^2*z5 - 
    473413500*ln2*z2*z5 + 349051500*sinf*z2*z5 + 343294875*z3*z5 - 
    157405500*ln2*z7 - 611336250*sinf*z7)/28224000, 
 H[1, 1, 0, 0, 1, -1, -1, 1, 1] -> 
  (-169344000*li4half^2 - 1241856000*li8half + 338688000*li6half*ln2^2 + 
    131712000*li5half*ln2^3 - 364000*ln2^8 + 419328000*ln2^2*s6 - 
    478883475*s8a - 2581992000*s8b - 514080000*s8c + 62496000*s8d - 
    790272000*li7half*sinf + 169344000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 313600*ln2^7*sinf + 256032000*ln2*s6*sinf - 
    256032000*s7a*sinf + 139104000*s7b*sinf - 225792000*li6half*sinf^2 + 
    28224000*li4half*ln2^2*sinf^2 + 862400*ln2^6*sinf^2 - 
    155232000*s6*sinf^2 - 112896000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 2744000*ln2^6*z2 + 93744000*s6*z2 - 
    169344000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    1881600*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 - 
    1176000*ln2^4*sinf^2*z2 + 119750400*li4half*z2^2 - 3242400*ln2^4*z2^2 + 
    14112000*ln2^3*sinf*z2^2 + 23637600*ln2^2*sinf^2*z2^2 - 
    112644000*ln2^2*z2^3 - 65066400*ln2*sinf*z2^3 + 17992800*sinf^2*z2^3 - 
    70734816*z2^4 + 453600000*li5half*z3 - 8719200*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 13524000*ln2^4*sinf*z3 - 
    8232000*ln2^3*sinf^2*z3 + 70728000*ln2^3*z2*z3 + 
    31752000*ln2^2*sinf*z2*z3 + 68796000*ln2*sinf^2*z2*z3 + 
    516310200*ln2*z2^2*z3 + 40798800*sinf*z2^2*z3 + 43848000*ln2^2*z3^2 - 
    320040000*ln2*sinf*z3^2 + 24034500*sinf^2*z3^2 + 446638500*z2*z3^2 - 
    168609000*ln2^3*z5 - 615195000*ln2^2*sinf*z5 + 2007054000*ln2*z2*z5 - 
    188559000*sinf*z2*z5 - 217405125*z3*z5 + 981532125*sinf*z7)/56448000, 
 H[1, 1, 0, 0, 1, -1, -1, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    75600000*ln2^2*s6 + 53201925*s8a + 174384000*s8b + 151200000*s8c - 
    151200000*s8d + 58464000*ln2*s6*sinf - 58464000*s7a*sinf + 
    82656000*s7b*sinf + 49392000*s6*sinf^2 + 395136000*li6half*z2 + 
    282240000*li5half*ln2*z2 - 1803200*ln2^6*z2 + 418824000*s6*z2 + 
    197568000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    1881600*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 + 
    588000*ln2^4*sinf^2*z2 - 75398400*li4half*z2^2 + 6854400*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 - 19404000*ln2^2*sinf^2*z2^2 + 
    30794400*ln2^2*z2^3 + 46065600*ln2*sinf*z2^3 - 4796400*sinf^2*z2^3 + 
    52586568*z2^4 - 92736000*li5half*z3 + 772800*ln2^5*z3 - 
    91728000*li4half*sinf*z3 - 3822000*ln2^4*sinf*z3 - 36540000*ln2^3*z2*z3 - 
    26460000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 - 
    119989800*ln2*z2^2*z3 - 13091400*sinf*z2^2*z3 - 21262500*ln2^2*z3^2 - 
    73080000*ln2*sinf*z3^2 + 1102500*sinf^2*z3^2 - 157830750*z2*z3^2 - 
    136710000*ln2^2*sinf*z5 - 822717000*ln2*z2*z5 - 529231500*sinf*z2*z5 - 
    19821375*z3*z5 + 633638250*sinf*z7)/28224000, 
 H[1, 1, 0, 0, 1, -1, -1, -1, 1] -> (2419200*li4half^2 - 29030400*li8half - 
    32256000*li7half*ln2 - 16128000*li6half*ln2^2 - 4300800*li5half*ln2^3 - 
    201600*li4half*ln2^4 + 6520*ln2^8 - 1555200*ln2^2*s6 - 6105600*ln2*s7a + 
    7603200*ln2*s7b - 7394625*s8a - 48686400*s8b - 2822400*s8c - 
    6048000*s8d - 9676800*li7half*sinf - 12902400*li6half*ln2*sinf - 
    6451200*li5half*ln2^2*sinf - 1075200*li4half*ln2^3*sinf - 
    7040*ln2^7*sinf - 3513600*ln2*s6*sinf - 5356800*s7a*sinf + 
    1094400*s7b*sinf - 1612800*li5half*ln2*sinf^2 - 
    806400*li4half*ln2^2*sinf^2 - 20160*ln2^6*sinf^2 - 1209600*s6*sinf^2 + 
    6451200*li6half*z2 + 8064000*li5half*ln2*z2 + 1209600*li4half*ln2^2*z2 - 
    43680*ln2^6*z2 + 22176000*s6*z2 + 1612800*li5half*sinf*z2 + 
    1612800*li4half*ln2*sinf*z2 + 13440*ln2^5*sinf*z2 + 
    1209600*li4half*sinf^2*z2 + 117600*ln2^4*sinf^2*z2 - 
    2862720*li4half*z2^2 - 35280*ln2^4*z2^2 - 698880*ln2^3*sinf*z2^2 - 
    796320*ln2^2*sinf^2*z2^2 + 630720*ln2^2*z2^3 - 243360*ln2*sinf*z2^3 - 
    803520*sinf^2*z2^3 + 2727504*z2^4 + 8064000*li5half*z3 + 
    1008000*li4half*ln2*z3 + 115920*ln2^5*z3 - 3427200*li4half*sinf*z3 + 
    210000*ln2^4*sinf*z3 + 235200*ln2^3*sinf^2*z3 - 117600*ln2^3*z2*z3 + 
    151200*ln2^2*sinf*z2*z3 + 2025000*ln2*z2^2*z3 + 602640*sinf*z2^2*z3 - 
    3436200*ln2^2*z3^2 - 723600*ln2*sinf*z3^2 + 636300*sinf^2*z3^2 + 
    1108800*z2*z3^2 - 6379800*ln2^3*z5 + 6640200*ln2^2*sinf*z5 + 
    6249600*ln2*sinf^2*z5 - 33435000*ln2*z2*z5 - 9666000*sinf*z2*z5 - 
    26775*z3*z5 + 77175900*ln2*z7 + 20072025*sinf*z7)/1612800, 
 H[1, 1, 0, 0, 0, 1, 1, 1, 1] -> (-4200*s8a + 460*sinf^2*z2^3 + 4644*z2^4 + 
    5880*sinf*z2^2*z3 - 1400*sinf^2*z3^2 - 1400*z2*z3^2 - 21000*z3*z5 - 
    19075*sinf*z7)/2800, H[1, 1, 0, 0, 0, 1, 1, 0, 1] -> 
  (6300*s8a - 800*sinf^2*z2^3 - 5097*z2^4 - 5040*sinf*z2^2*z3 + 
    2100*sinf^2*z3^2 - 8400*z2*z3^2 - 8400*sinf*z2*z5 + 39900*z3*z5 + 
    32025*sinf*z7)/4200, H[1, 1, 0, 0, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    127008000*ln2^2*s6 - 104832000*ln2*s7a + 36288000*ln2*s7b - 
    171137925*s8a - 1041768000*s8b - 114912000*s8c - 139104000*s8d - 
    70560000*ln2*s6*sinf + 28224000*s7b*sinf - 21168000*s6*sinf^2 + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 461664000*s6*z2 - 
    14112000*li4half*sinf^2*z2 - 588000*ln2^4*sinf^2*z2 - 
    6652800*li4half*z2^2 - 2041200*ln2^4*z2^2 + 8820000*ln2^2*sinf^2*z2^2 - 
    41126400*ln2^2*z2^3 - 3830400*ln2*sinf*z2^3 + 151200*sinf^2*z2^3 + 
    3504672*z2^4 + 278208000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    4376400*ln2^5*z3 + 35280000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 + 
    35532000*ln2^3*z2*z3 + 12348000*ln2^2*sinf*z2*z3 - 
    21168000*ln2*sinf^2*z2*z3 + 121980600*ln2*z2^2*z3 - 
    33516000*sinf*z2^2*z3 - 84672000*ln2^2*z3^2 + 60417000*ln2*sinf*z3^2 + 
    14332500*sinf^2*z3^2 + 90814500*z2*z3^2 - 123039000*ln2^3*z5 + 
    13671000*ln2^2*sinf*z5 + 41013000*ln2*sinf^2*z5 + 151704000*ln2*z2*z5 - 
    124803000*sinf*z2*z5 - 265773375*z3*z5 + 328970250*ln2*z7 + 
    248724000*sinf*z7)/28224000, H[1, 1, 0, 0, 0, 1, 0, 1, 1] -> 
  (-88200*s8a - 6400*sinf^2*z2^3 + 31718*z2^4 - 29400*sinf*z2^2*z3 + 
    21000*sinf^2*z3^2 + 42000*z2*z3^2 - 126000*sinf*z2*z5 - 189000*z3*z5 + 
    301875*sinf*z7)/42000, H[1, 1, 0, 0, 0, 1, 0, 0, 1] -> 
  (1575*s8a + 1200*sinf^2*z2^3 - 892*z2^4 + 1260*sinf*z2^2*z3 + 
    1050*z2*z3^2 + 4200*sinf*z2*z5 + 525*z3*z5 - 18900*sinf*z7)/1050, 
 H[1, 1, 0, 0, 0, 1, 0, -1, 1] -> (-8736000*ln2^2*s6 + 17472000*ln2*s7a - 
    1344000*ln2*s7b + 11677050*s8a + 102984000*s8b + 1344000*s8c + 
    17472000*s8d + 1344000*ln2*s6*sinf + 17472000*s7a*sinf - 
    1344000*s7b*sinf + 9408000*s6*sinf^2 - 63168000*s6*z2 + 
    3494400*li4half*z2^2 + 145600*ln2^4*z2^2 + 2620800*ln2^2*z2^3 - 
    235200*ln2*sinf*z2^3 + 2472400*sinf^2*z2^3 - 1771772*z2^4 - 
    34944000*li5half*z3 + 291200*ln2^5*z3 - 2912000*ln2^3*z2*z3 - 
    13448400*ln2*z2^2*z3 + 4149600*sinf*z2^2*z3 + 10920000*ln2^2*z3^2 + 
    378000*ln2*sinf*z3^2 - 4851000*sinf^2*z3^2 + 5313000*z2*z3^2 + 
    12152000*ln2^3*z5 - 18228000*ln2*sinf^2*z5 + 36960000*ln2*z2*z5 + 
    15708000*sinf*z2*z5 + 4530750*z3*z5 - 45420375*ln2*z7 - 23223375*sinf*z7)/
   4704000, H[1, 1, 0, 0, 0, 1, -1, 1, 1] -> 
  (-30240000*ln2^2*s6 + 35725725*s8a + 226632000*s8b + 36960000*s8c + 
    14784000*s8d + 2016000*ln2*s6*sinf - 2016000*s7a*sinf + 
    35616000*s7b*sinf + 11760000*s6*sinf^2 - 55440000*s6*z2 + 
    2956800*li4half*z2^2 + 123200*ln2^4*z2^2 - 3528000*ln2^2*sinf^2*z2^2 + 
    9492000*ln2^2*z2^3 + 1260000*ln2*sinf*z2^3 - 201600*sinf^2*z2^3 + 
    8098056*z2^4 - 29568000*li5half*z3 + 246400*ln2^5*z3 - 
    2464000*ln2^3*z2*z3 - 14112000*ln2^2*sinf*z2*z3 - 
    5292000*ln2*sinf^2*z2*z3 - 38711400*ln2*z2^2*z3 - 23646000*sinf*z2^2*z3 - 
    2331000*ln2^2*z3^2 - 2520000*ln2*sinf*z3^2 + 808500*sinf^2*z3^2 - 
    30880500*z2*z3^2 + 6076000*ln2^3*z5 - 27342000*ln2^2*sinf*z5 - 
    129108000*ln2*z2*z5 - 114912000*sinf*z2*z5 + 31324125*z3*z5 + 
    256307625*sinf*z7)/9408000, H[1, 1, 0, 0, 0, 1, -1, 0, 1] -> 
  (317100*s8a - 1428000*s8b + 384000*ln2*s6*sinf - 384000*s7a*sinf - 
    384000*s7b*sinf - 672000*s6*sinf^2 + 756000*s6*z2 + 
    634800*ln2*sinf*z2^3 + 89800*sinf^2*z2^3 - 272244*z2^4 - 
    378000*ln2*z2^2*z3 + 444300*sinf*z2^2*z3 - 480000*ln2*sinf*z3^2 + 
    157500*sinf^2*z3^2 + 2625*z2*z3^2 + 976500*ln2*z2*z5 + 
    2125500*sinf*z2*z5 + 1194375*z3*z5 - 6622125*sinf*z7)/336000, 
 H[1, 1, 0, 0, 0, 1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    6048000*ln2^2*s6 + 94752000*ln2*s7a - 18144000*ln2*s7b + 2475900*s8a + 
    237888000*s8b - 60480000*s8c + 102816000*s8d - 30240000*ln2*s6*sinf + 
    100800000*s7a*sinf - 12096000*s7b*sinf + 14112000*s6*sinf^2 + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 276192000*s6*z2 - 
    14112000*li4half*sinf^2*z2 - 588000*ln2^4*sinf^2*z2 + 
    41731200*li4half*z2^2 - 25200*ln2^4*z2^2 + 8820000*ln2^2*sinf^2*z2^2 - 
    4838400*ln2^2*z2^3 + 5745600*ln2*sinf*z2^3 + 12398400*sinf^2*z2^3 - 
    39013416*z2^4 - 205632000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    344400*ln2^5*z3 + 35280000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 - 
    4788000*ln2^3*z2*z3 + 12348000*ln2^2*sinf*z2*z3 - 24721200*ln2*z2^2*z3 + 
    8240400*sinf*z2^2*z3 + 66528000*ln2^2*z3^2 + 22365000*ln2*sinf*z3^2 - 
    13230000*sinf^2*z3^2 + 70276500*z2*z3^2 + 68355000*ln2^3*z5 + 
    13671000*ln2^2*sinf*z5 - 68355000*ln2*sinf^2*z5 + 402318000*ln2*z2*z5 + 
    107415000*sinf*z2*z5 + 92688750*z3*z5 - 205828875*ln2*z7 - 
    160886250*sinf*z7)/28224000, H[1, 1, 0, 0, 0, 0, 1, 1, 1] -> 
  (120*sinf^2*z2^3 - 127*z2^4 + 840*sinf*z2^2*z3 - 350*sinf^2*z3^2 - 
    1050*z2*z3^2 + 2800*z3*z5 - 2800*sinf*z7)/1400, 
 H[1, 1, 0, 0, 0, 0, 1, 0, 1] -> (1225*s8a - 1000*sinf^2*z2^3 - 64*z2^4 - 
    2100*sinf*z2^2*z3 - 875*z2*z3^2 - 1750*sinf*z2*z5 + 875*z3*z5 + 
    17500*sinf*z7)/1750, H[1, 1, 0, 0, 0, 0, 1, -1, 1] -> 
  (-336000*ln2^2*s6 - 672000*ln2*s7b + 1301475*s8a + 5376000*s8b + 
    672000*s8c + 672000*s8d - 672000*s7b*sinf - 2016000*s6*z2 + 
    134400*li4half*z2^2 + 5600*ln2^4*z2^2 + 100800*ln2^2*z2^3 - 
    756000*ln2*sinf*z2^3 - 133200*sinf^2*z2^3 - 227004*z2^4 - 
    1344000*li5half*z3 + 11200*ln2^5*z3 - 112000*ln2^3*z2*z3 - 
    743400*ln2*z2^2*z3 - 302400*sinf*z2^2*z3 + 420000*ln2^2*z3^2 + 
    1029000*ln2*sinf*z3^2 + 94500*sinf^2*z3^2 - 1123500*z2*z3^2 + 
    868000*ln2^3*z5 + 1302000*ln2^2*sinf*z5 + 651000*ln2*sinf^2*z5 + 
    693000*ln2*z2*z5 + 1344000*sinf*z2*z5 + 3404625*z3*z5 - 4677750*ln2*z7)/
   672000, H[1, 1, 0, 0, 0, 0, 0, 1, 1] -> 
  (-700*s8a + 200*sinf^2*z2^3 + 458*z2^4 + 700*sinf*z2^2*z3 + 875*z2*z3^2 + 
    1750*sinf*z2*z5 - 3500*z3*z5 - 7000*sinf*z7)/1750, 
 H[1, 1, 0, 0, 0, 0, 0, 0, 1] -> (-6*z2^4 + 35*z3*z5 + 35*sinf*z7)/35, 
 H[1, 1, 0, 0, 0, 0, 0, -1, 1] -> 
  (-50400*s8a - 280000*s8b + 12400*sinf^2*z2^3 - 32804*z2^4 + 
    39200*sinf*z2^2*z3 + 28000*z2*z3^2 + 56000*sinf*z2*z5 + 108500*z3*z5 + 
    555625*ln2*z7 - 329875*sinf*z7)/112000, H[1, 1, 0, 0, 0, 0, -1, 1, 1] -> 
  (168000*ln2^2*s6 - 158025*s8a - 1176000*s8b - 336000*s8d + 
    336000*ln2*s6*sinf - 336000*s7a*sinf - 168000*s6*sinf^2 + 840000*s6*z2 - 
    67200*li4half*z2^2 - 2800*ln2^4*z2^2 - 50400*ln2^2*z2^3 + 
    319200*ln2*sinf*z2^3 + 38400*sinf^2*z2^3 + 158436*z2^4 + 
    672000*li5half*z3 - 5600*ln2^5*z3 + 56000*ln2^3*z2*z3 + 
    285600*ln2*z2^2*z3 + 310800*sinf*z2^2*z3 - 210000*ln2^2*z3^2 - 
    420000*ln2*sinf*z3^2 + 42000*z2*z3^2 - 217000*ln2^3*z5 - 
    651000*ln2^2*sinf*z5 - 357000*ln2*z2*z5 + 315000*sinf*z2*z5 - 
    1015875*z3*z5 - 2333625*sinf*z7)/336000, H[1, 1, 0, 0, 0, 0, -1, 0, 1] -> 
  (1575*s8a + 33600*s6*z2 - 12400*sinf^2*z2^3 + 7364*z2^4 - 
    23520*sinf*z2^2*z3 - 30800*z2*z3^2 - 65100*ln2*z2*z5 - 42700*sinf*z2*z5 + 
    32200*z3*z5 + 242725*sinf*z7)/22400, H[1, 1, 0, 0, 0, 0, -1, -1, 1] -> 
  (33600*ln2^2*s6 - 67200*ln2*s7a - 35175*s8a - 313600*s8b - 67200*s8d - 
    44800*s7a*sinf - 11200*s6*sinf^2 + 201600*s6*z2 - 13440*li4half*z2^2 - 
    560*ln2^4*z2^2 - 10080*ln2^2*z2^3 - 3680*sinf^2*z2^3 + 14564*z2^4 + 
    134400*li5half*z3 - 1120*ln2^5*z3 + 11200*ln2^3*z2*z3 + 
    50400*ln2*z2^2*z3 - 7840*sinf*z2^2*z3 - 42000*ln2^2*z3^2 + 
    8400*sinf^2*z3^2 - 8400*z2*z3^2 - 43400*ln2^3*z5 + 21700*ln2*sinf^2*z5 - 
    67200*ln2*z2*z5 - 23100*sinf*z2*z5 - 89075*z3*z5 + 21175*ln2*z7 + 
    21175*sinf*z7)/22400, H[1, 1, 0, 0, 0, -1, 1, 1, 1] -> 
  (2688000*ln2^2*s6 - 12354300*s8a - 52080000*s8b - 5376000*s8c - 
    1680000*s8d - 6384000*ln2*s6*sinf + 6384000*s7a*sinf - 5376000*s7b*sinf - 
    5880000*s6*sinf^2 + 12768000*s6*z2 - 4704000*li4half*sinf^2*z2 - 
    196000*ln2^4*sinf^2*z2 - 6921600*li4half*z2^2 - 288400*ln2^4*z2^2 + 
    2058000*ln2^2*sinf^2*z2^2 + 252000*ln2^2*z2^3 + 3007200*ln2*sinf*z2^3 + 
    1814400*sinf^2*z2^3 + 3986592*z2^4 + 3360000*li5half*z3 - 
    28000*ln2^5*z3 + 18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 + 
    280000*ln2^3*z2*z3 - 1176000*ln2^2*sinf*z2*z3 + 11004000*ln2*z2^2*z3 + 
    5250000*sinf*z2^2*z3 + 756000*ln2^2*z3^2 + 7980000*ln2*sinf*z3^2 - 
    588000*sinf^2*z3^2 - 1848000*z2*z3^2 + 2278500*ln2^3*z5 + 
    11392500*ln2^2*sinf*z5 + 9292500*ln2*z2*z5 + 16159500*sinf*z2*z5 - 
    4029375*z3*z5 - 61950000*sinf*z7)/4704000, 
 H[1, 1, 0, 0, 0, -1, 1, 0, 1] -> 
  (424200*s8a + 1428000*s8b - 384000*ln2*s6*sinf + 384000*s7a*sinf + 
    384000*s7b*sinf + 672000*s6*sinf^2 - 1512000*s6*z2 - 
    634800*ln2*sinf*z2^3 - 114800*sinf^2*z2^3 - 222258*z2^4 + 
    378000*ln2*z2^2*z3 - 681600*sinf*z2^2*z3 + 480000*ln2*sinf*z3^2 - 
    126000*sinf^2*z3^2 - 84000*z2*z3^2 + 488250*ln2*z2*z5 - 
    2083500*sinf*z2*z5 + 761250*z3*z5 + 7498875*sinf*z7)/336000, 
 H[1, 1, 0, 0, 0, -1, 1, -1, 1] -> (-11256000*ln2^2*s6 - 7728000*ln2*s7a - 
    12432000*ln2*s7b + 31457475*s8a + 120708000*s8b + 30912000*s8c - 
    336000*s8d + 5712000*ln2*s6*sinf - 12768000*s7a*sinf + 
    13104000*s7b*sinf - 11088000*s6*z2 - 67200*li4half*z2^2 - 
    2800*ln2^4*z2^2 - 1764000*ln2^2*sinf^2*z2^2 + 3586800*ln2^2*z2^3 - 
    193200*ln2*sinf*z2^3 - 1079400*sinf^2*z2^3 + 4835106*z2^4 + 
    672000*li5half*z3 - 5600*ln2^5*z3 + 56000*ln2^3*z2*z3 - 
    7056000*ln2^2*sinf*z2*z3 - 2646000*ln2*sinf^2*z2*z3 - 
    16745400*ln2*z2^2*z3 - 8471400*sinf*z2^2*z3 - 5995500*ln2^2*z3^2 + 
    63000*ln2*sinf*z3^2 + 1764000*sinf^2*z3^2 - 34870500*z2*z3^2 + 
    6076000*ln2^3*z5 - 13671000*ln2^2*sinf*z5 + 11392500*ln2*sinf^2*z5 - 
    72019500*ln2*z2*z5 - 50694000*sinf*z2*z5 + 40041750*z3*z5 - 
    59322375*ln2*z7 + 97642125*sinf*z7)/4704000, 
 H[1, 1, 0, 0, 0, -1, 0, 1, 1] -> (-793275*s8a - 1008000*s6*z2 - 
    77600*sinf^2*z2^3 + 105016*z2^4 - 453600*sinf*z2^2*z3 + 
    252000*sinf^2*z3^2 + 1176000*z2*z3^2 + 1953000*ln2*z2*z5 - 
    1239000*sinf*z2*z5 - 2709000*z3*z5 + 3504375*sinf*z7)/672000, 
 H[1, 1, 0, 0, 0, -1, 0, 0, 1] -> (326025*s8a + 372000*sinf^2*z2^3 - 
    292036*z2^4 + 352800*sinf*z2^2*z3 + 252000*z2*z3^2 + 1260000*sinf*z2*z5 + 
    483000*z3*z5 - 5620125*sinf*z7)/336000, H[1, 1, 0, 0, 0, -1, 0, -1, 1] -> 
  (-268800*ln2^2*s6 + 537600*ln2*s7a + 318675*s8a + 2352000*s8b + 
    537600*s8d + 537600*s7a*sinf + 268800*s6*sinf^2 - 1982400*s6*z2 + 
    107520*li4half*z2^2 + 4480*ln2^4*z2^2 + 80640*ln2^2*z2^3 + 
    74320*sinf^2*z2^3 - 203312*z2^4 - 1075200*li5half*z3 + 8960*ln2^5*z3 - 
    89600*ln2^3*z2*z3 - 403200*ln2*z2^2*z3 + 110880*sinf*z2^2*z3 + 
    336000*ln2^2*z3^2 - 151200*sinf^2*z3^2 + 260400*z2*z3^2 + 
    347200*ln2^3*z5 - 520800*ln2*sinf^2*z5 + 1253700*ln2*z2*z5 + 
    413700*sinf*z2*z5 + 583800*z3*z5 + 141750*ln2*z7 - 559125*sinf*z7)/
   134400, H[1, 1, 0, 0, 0, -1, -1, 1, 1] -> 
  (6216000*ln2^2*s6 - 9792825*s8a - 61488000*s8b - 5376000*s8c - 
    8736000*s8d - 11760000*ln2*s6*sinf + 11760000*s7a*sinf - 
    2352000*s6*sinf^2 + 23352000*s6*z2 - 4704000*li4half*sinf^2*z2 - 
    196000*ln2^4*sinf^2*z2 - 8332800*li4half*z2^2 - 347200*ln2^4*z2^2 + 
    2058000*ln2^2*sinf^2*z2^2 - 806400*ln2^2*z2^3 + 1176000*ln2*sinf*z2^3 + 
    1066800*sinf^2*z2^3 + 2385888*z2^4 + 17472000*li5half*z3 - 
    145600*ln2^5*z3 + 18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 + 
    1456000*ln2^3*z2*z3 - 1176000*ln2^2*sinf*z2*z3 - 
    3528000*ln2*sinf^2*z2*z3 + 8181600*ln2*z2^2*z3 - 9584400*sinf*z2^2*z3 - 
    3654000*ln2^2*z3^2 + 14700000*ln2*sinf*z3^2 + 2646000*sinf^2*z3^2 + 
    8148000*z2*z3^2 - 2278500*ln2^3*z5 + 11392500*ln2^2*sinf*z5 + 
    16128000*ln2*z2*z5 + 367500*sinf*z2*z5 - 19556250*z3*z5 + 
    14810250*sinf*z7)/4704000, H[1, 1, 0, 0, 0, -1, -1, 0, 1] -> 
  (177975*s8a + 504000*s6*z2 + 70000*sinf^2*z2^3 - 9444*z2^4 + 
    201600*sinf*z2^2*z3 - 252000*sinf^2*z3^2 - 210000*z2*z3^2 - 
    976500*ln2*z2*z5 + 609000*sinf*z2*z5 + 525000*z3*z5 - 1543500*sinf*z7)/
   672000, H[1, 1, 0, 0, 0, -1, -1, -1, 1] -> 
  (59325*s8a + 336000*s7a*sinf + 168000*s6*sinf^2 - 336000*s6*z2 + 
    47200*sinf^2*z2^3 - 56028*z2^4 + 67200*sinf*z2^2*z3 - 98000*sinf^2*z3^2 + 
    196000*z2*z3^2 - 325500*ln2*sinf^2*z5 + 651000*ln2*z2*z5 + 
    336000*sinf*z2*z5 - 273000*z3*z5 - 469000*sinf*z7)/224000, 
 H[1, 1, 0, 0, -1, 1, 1, 1, 1] -> (28224000*li4half^2 + 56448000*li8half - 
    47600*ln2^8 + 12096000*ln2^2*s6 - 86376150*s8a - 117936000*s8b - 
    24192000*s8c + 38304000*s8d + 56448000*li7half*sinf - 11200*ln2^7*sinf - 
    70560000*ln2*s6*sinf + 70560000*s7a*sinf - 14112000*s7b*sinf + 
    28224000*li6half*sinf^2 + 39200*ln2^6*sinf^2 - 28224000*s6*sinf^2 - 
    28224000*li6half*z2 + 509600*ln2^6*z2 - 55440000*s6*z2 + 
    235200*ln2^5*sinf*z2 - 42336000*li4half*sinf^2*z2 - 
    2352000*ln2^4*sinf^2*z2 - 51609600*li4half*z2^2 - 3326400*ln2^4*z2^2 + 
    7526400*ln2^3*sinf*z2^2 + 9878400*ln2^2*sinf^2*z2^2 + 
    15573600*ln2^2*z2^3 + 31802400*ln2*sinf*z2^3 + 10785600*sinf^2*z2^3 + 
    55509336*z2^4 - 76608000*li5half*z3 - 1008000*ln2^5*z3 + 
    169344000*li4half*sinf*z3 + 4998000*ln2^4*sinf*z3 + 3024000*ln2^3*z2*z3 - 
    29988000*ln2^2*sinf*z2*z3 + 30996000*ln2*z2^2*z3 + 
    26460000*sinf*z2^2*z3 + 3402000*ln2^2*z3^2 + 88200000*ln2*sinf*z3^2 - 
    7056000*sinf^2*z3^2 - 5670000*z2*z3^2 + 82026000*ln2^2*sinf*z5 + 
    72576000*ln2*z2*z5 + 44100000*sinf*z2*z5 - 160161750*z3*z5 - 
    369282375*sinf*z7)/28224000, H[1, 1, 0, 0, -1, 1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    5040000*ln2^2*s6 + 69695325*s8a + 135576000*s8b + 10080000*s8c - 
    10080000*s8d + 48384000*ln2*s6*sinf - 48384000*s7a*sinf + 
    92736000*s7b*sinf + 35280000*s6*sinf^2 - 56448000*li6half*z2 - 
    78400*ln2^6*z2 - 99792000*s6*z2 - 56448000*li5half*sinf*z2 + 
    470400*ln2^5*sinf*z2 - 4838400*li4half*z2^2 + 2738400*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 - 15876000*ln2^2*sinf^2*z2^2 + 
    16682400*ln2^2*z2^3 - 12801600*ln2*sinf*z2^3 - 6720000*sinf^2*z2^3 - 
    28161288*z2^4 + 76608000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    344400*ln2^5*z3 - 15960000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 + 
    9840600*ln2*z2^2*z3 - 80992800*sinf*z2^2*z3 + 1669500*ln2^2*z3^2 - 
    54306000*ln2*sinf*z3^2 + 10363500*sinf^2*z3^2 - 53865000*z2*z3^2 - 
    136710000*ln2^2*sinf*z5 - 30240000*ln2*z2*z5 - 329742000*sinf*z2*z5 + 
    229564125*z3*z5 + 871620750*sinf*z7)/28224000, 
 H[1, 1, 0, 0, -1, 1, 1, -1, 1] -> (-56448000*li4half^2 - 112896000*li8half - 
    225792000*li7half*ln2 - 112896000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 140000*ln2^8 + 39312000*ln2^2*s6 - 
    209664000*ln2*s7a + 58464000*ln2*s7b - 60199650*s8a - 1022112000*s8b + 
    72576000*s8c - 298368000*s8d - 338688000*li7half*sinf - 
    225792000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf + 
    224000*ln2^7*sinf - 163296000*ln2*s6*sinf - 104832000*s7a*sinf + 
    247968000*s7b*sinf - 169344000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 + 235200*ln2^6*sinf^2 - 119952000*s6*sinf^2 + 
    282240000*li6half*z2 + 112896000*li5half*ln2*z2 - 1803200*ln2^6*z2 + 
    963648000*s6*z2 + 56448000*li5half*sinf*z2 - 1881600*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 2352000*ln2^4*sinf^2*z2 - 
    31449600*li4half*z2^2 + 5745600*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 + 
    13759200*ln2^2*sinf^2*z2^2 - 40773600*ln2^2*z2^3 + 
    2469600*ln2*sinf*z2^3 + 15674400*sinf^2*z2^3 + 39265776*z2^4 + 
    497952000*li5half*z3 - 856800*ln2^5*z3 + 70560000*li4half*sinf*z3 + 
    7056000*ln2^4*sinf*z3 + 8568000*ln2^3*z2*z3 - 42336000*ln2^2*sinf*z2*z3 - 
    68796000*ln2*sinf^2*z2*z3 - 20538000*ln2*z2^2*z3 - 
    146790000*sinf*z2^2*z3 - 160272000*ln2^2*z3^2 + 92988000*ln2*sinf*z3^2 + 
    67914000*sinf^2*z3^2 - 169974000*z2*z3^2 - 186837000*ln2^3*z5 - 
    123039000*ln2^2*sinf*z5 + 218736000*ln2*sinf^2*z5 - 835317000*ln2*z2*z5 - 
    958167000*sinf*z2*z5 - 142868250*z3*z5 + 1070771625*ln2*z7 + 
    2017724625*sinf*z7)/56448000, H[1, 1, 0, 0, -1, 1, 0, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    6048000*ln2^2*s6 + 1269450*s8a + 45360000*s8b + 12096000*s8c - 
    12096000*s8d + 11232000*ln2*s6*sinf - 11232000*s7a*sinf - 
    11232000*s7b*sinf + 10080000*s6*sinf^2 + 8064000*li6half*z2 - 
    2016000*li4half*ln2^2*z2 - 72800*ln2^6*z2 + 16128000*s6*z2 + 
    8064000*li5half*sinf*z2 - 67200*ln2^5*sinf*z2 + 
    12096000*li4half*sinf^2*z2 + 504000*ln2^4*sinf^2*z2 + 
    18345600*li4half*z2^2 + 1352400*ln2^4*z2^2 + 672000*ln2^3*sinf*z2^2 - 
    3024000*ln2^2*sinf^2*z2^2 - 4888800*ln2^2*z2^3 - 5882400*ln2*sinf*z2^3 - 
    2738400*sinf^2*z2^3 + 4616952*z2^4 + 8064000*li5half*z3 - 
    2016000*li4half*ln2*z3 - 151200*ln2^5*z3 - 48384000*li4half*sinf*z3 - 
    2016000*ln2^4*sinf*z3 - 1176000*ln2^3*z2*z3 + 8568000*ln2^2*sinf*z2*z3 - 
    6426000*ln2*z2^2*z3 + 20415600*sinf*z2^2*z3 - 2583000*ln2^2*z3^2 - 
    15804000*ln2*sinf*z3^2 - 2961000*sinf^2*z3^2 - 4032000*z2*z3^2 - 
    36288000*ln2*z2*z5 + 11574000*sinf*z2*z5 - 47013750*z3*z5 - 
    43617375*sinf*z7)/4032000, H[1, 1, 0, 0, -1, 1, 0, 0, 1] -> 
  (672000*ln2^2*s6 - 330225*s8a - 6048000*s8b - 1344000*s8c + 1344000*s8d - 
    672000*ln2*s6*sinf + 672000*s7a*sinf + 672000*s7b*sinf - 
    2016000*s6*sinf^2 + 2688000*s6*z2 + 772800*li4half*z2^2 + 
    32200*ln2^4*z2^2 - 159600*ln2^2*z2^3 + 1629600*ln2*sinf*z2^3 + 
    266400*sinf^2*z2^3 - 920856*z2^4 - 1344000*li5half*z3 - 
    1008000*li4half*ln2*z3 - 30800*ln2^5*z3 + 1344000*li4half*sinf*z3 + 
    56000*ln2^4*sinf*z3 + 140000*ln2^3*z2*z3 - 336000*ln2^2*sinf*z2*z3 + 
    298200*ln2*z2^2*z3 + 37800*sinf*z2^2*z3 - 252000*ln2^2*z3^2 - 
    42000*ln2*sinf*z3^2 + 661500*sinf^2*z3^2 - 283500*z2*z3^2 + 
    4032000*ln2*z2*z5 + 945000*sinf*z2*z5 + 3493875*z3*z5 - 7145250*sinf*z7)/
   672000, H[1, 1, 0, 0, -1, 1, 0, -1, 1] -> 
  (-20160000*li4half^2 - 1680000*li4half*ln2^4 - 35000*ln2^8 + 
    16416000*ln2^2*s6 - 6336000*ln2*s7a + 5760000*ln2*s7b - 20755350*s8a - 
    90216000*s8b - 16128000*s8c - 12096000*s8d - 5472000*ln2*s6*sinf + 
    9504000*s7a*sinf + 21600000*s7b*sinf + 8064000*s6*sinf^2 + 
    4032000*li6half*z2 + 8064000*li4half*ln2^2*z2 + 341600*ln2^6*z2 + 
    29232000*s6*z2 + 4032000*li5half*sinf*z2 - 33600*ln2^5*sinf*z2 - 
    2016000*li4half*sinf^2*z2 - 84000*ln2^4*sinf^2*z2 + 
    13910400*li4half*z2^2 - 260400*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 + 
    504000*ln2^2*sinf^2*z2^2 - 7711200*ln2^2*z2^3 + 9626400*ln2*sinf*z2^3 + 
    3152400*sinf^2*z2^3 + 447924*z2^4 + 19152000*li5half*z3 - 
    33264000*li4half*ln2*z3 - 1545600*ln2^5*z3 + 5040000*li4half*sinf*z3 + 
    210000*ln2^4*sinf*z3 + 8736000*ln2^3*z2*z3 - 3024000*ln2^2*sinf*z2*z3 + 
    26215200*ln2*z2^2*z3 - 3866400*sinf*z2^2*z3 - 16110000*ln2^2*z3^2 - 
    9036000*ln2*sinf*z3^2 - 4725000*sinf^2*z3^2 + 26208000*z2*z3^2 - 
    18228000*ln2^3*z5 - 31248000*ln2^2*sinf*z5 - 19530000*ln2*sinf^2*z5 + 
    70146000*ln2*z2*z5 - 55008000*sinf*z2*z5 - 76025250*z3*z5 - 
    37299375*ln2*z7 + 87043500*sinf*z7)/4032000, 
 H[1, 1, 0, 0, -1, 1, -1, 1, 1] -> (84672000*li4half^2 - 338688000*li8half - 
    18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 99400*ln2^8 - 
    18648000*ln2^2*s6 - 44599275*s8a - 164808000*s8b - 12096000*s8c - 
    37296000*s8d - 169344000*li7half*sinf - 28224000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 515200*ln2^7*sinf + 104832000*ln2*s6*sinf - 
    104832000*s7a*sinf + 120960000*s7b*sinf - 28224000*li6half*sinf^2 - 
    14112000*li4half*ln2^2*sinf^2 - 627200*ln2^6*sinf^2 + 
    31752000*s6*sinf^2 + 28224000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    588000*ln2^6*z2 + 92232000*s6*z2 + 28224000*li5half*sinf*z2 + 
    56448000*li4half*ln2*sinf*z2 + 3763200*ln2^5*sinf*z2 + 
    14112000*li4half*sinf^2*z2 + 4704000*ln2^4*sinf^2*z2 - 
    20160000*li4half*z2^2 - 2016000*ln2^4*z2^2 - 41865600*ln2^3*sinf*z2^2 - 
    7408800*ln2^2*sinf^2*z2^2 + 10382400*ln2^2*z2^3 - 
    20361600*ln2*sinf*z2^3 + 1688400*sinf^2*z2^3 + 39163716*z2^4 - 
    24192000*li5half*z3 + 14112000*li4half*ln2*z3 + 2436000*ln2^5*z3 - 
    98784000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 + 6216000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 - 21168000*ln2*sinf^2*z2*z3 - 
    20487600*ln2*z2^2*z3 - 27896400*sinf*z2^2*z3 + 17136000*ln2^2*z3^2 - 
    118692000*ln2*sinf*z3^2 + 2646000*sinf^2*z3^2 + 12600000*z2*z3^2 + 
    45570000*ln2^3*z5 - 150381000*ln2^2*sinf*z5 - 100422000*ln2*z2*z5 - 
    430731000*sinf*z2*z5 + 36122625*z3*z5 + 903483000*sinf*z7)/28224000, 
 H[1, 1, 0, 0, -1, 1, -1, 0, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    5040000*ln2^2*s6 - 1847475*s8a - 119700000*s8b - 10080000*s8c + 
    10080000*s8d - 81648000*ln2*s6*sinf + 81648000*s7a*sinf - 
    59472000*s7b*sinf - 35280000*s6*sinf^2 + 28224000*li6half*z2 - 
    42336000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 686000*ln2^6*z2 + 
    41580000*s6*z2 - 14112000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 - 1646400*ln2^5*sinf*z2 - 7056000*li4half*sinf^2*z2 - 
    294000*ln2^4*sinf^2*z2 + 27417600*li4half*z2^2 - 2091600*ln2^4*z2^2 + 
    9408000*ln2^3*sinf*z2^2 + 17640000*ln2^2*sinf^2*z2^2 - 
    22327200*ln2^2*z2^3 + 1713600*ln2*sinf*z2^3 + 2263800*sinf^2*z2^3 - 
    22308516*z2^4 + 25704000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    1390200*ln2^5*z3 + 45864000*li4half*sinf*z3 + 1911000*ln2^4*sinf*z3 + 
    19488000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 + 20588400*ln2*z2^2*z3 + 
    13305600*sinf*z2^2*z3 - 10930500*ln2^2*z3^2 + 77364000*ln2*sinf*z3^2 + 
    5292000*sinf^2*z3^2 + 4032000*z2*z3^2 + 136710000*ln2^2*sinf*z5 + 
    132772500*ln2*z2*z5 + 239746500*sinf*z2*z5 + 10174500*z3*z5 - 
    399112875*sinf*z7)/14112000, H[1, 1, 0, 0, -1, 1, -1, -1, 1] -> 
  (-254016000*li4half^2 - 1580544000*li8half - 1128960000*li7half*ln2 - 
    225792000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    11760000*li4half*ln2^4 - 334600*ln2^8 + 408240000*ln2^2*s6 - 
    173376000*ln2*s7a + 264096000*ln2*s7b - 642795300*s8a - 3720528000*s8b - 
    483840000*s8c - 292320000*s8d - 790272000*li7half*sinf - 
    451584000*li6half*ln2*sinf + 37632000*li4half*ln2^3*sinf + 
    1097600*ln2^7*sinf - 262080000*ln2*s6*sinf + 149184000*s7a*sinf + 
    276192000*s7b*sinf - 169344000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    1411200*ln2^6*sinf^2 - 49392000*s6*sinf^2 + 395136000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 3332000*ln2^6*z2 + 
    1078560000*s6*z2 + 56448000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 6115200*ln2^5*sinf*z2 - 42336000*li4half*sinf^2*z2 - 
    9996000*ln2^4*sinf^2*z2 + 134870400*li4half*z2^2 + 327600*ln2^4*z2^2 + 
    63974400*ln2^3*sinf*z2^2 + 31752000*ln2^2*sinf^2*z2^2 - 
    155635200*ln2^2*z2^3 + 54986400*ln2*sinf*z2^3 + 54986400*sinf^2*z2^3 + 
    13912632*z2^4 + 499968000*li5half*z3 - 359856000*li4half*ln2*z3 - 
    22453200*ln2^5*z3 + 119952000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 + 
    122220000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 + 
    512416800*ln2*z2^2*z3 - 69350400*sinf*z2^2*z3 - 281862000*ln2^2*z3^2 - 
    42840000*ln2*sinf*z3^2 - 7497000*sinf^2*z3^2 + 552069000*z2*z3^2 - 
    555954000*ln2^3*z5 - 382788000*ln2^2*sinf*z5 - 123039000*ln2*sinf^2*z5 + 
    1044855000*ln2*z2*z5 - 692244000*sinf*z2*z5 - 787547250*z3*z5 + 
    1852648875*ln2*z7 + 1899646875*sinf*z7)/56448000, 
 H[1, 1, 0, 0, -1, 0, 1, 1, 1] -> (-201600*li4half^2 - 16800*li4half*ln2^4 - 
    350*ln2^8 + 585900*s8a - 201600*ln2*s6*sinf + 201600*s7a*sinf + 
    201600*s7b*sinf + 100800*li4half*ln2^2*z2 + 4200*ln2^6*z2 - 
    433440*li4half*z2^2 - 30660*ln2^4*z2^2 + 108360*ln2^2*z2^3 + 
    35280*ln2*sinf*z2^3 - 48360*sinf^2*z2^3 - 422862*z2^4 + 
    403200*li5half*z3 + 50400*li4half*ln2*z3 - 1260*ln2^5*z3 + 
    403200*li4half*sinf*z3 + 16800*ln2^4*sinf*z3 + 21000*ln2^3*z2*z3 - 
    100800*ln2^2*sinf*z2*z3 - 379260*ln2*z2^2*z3 - 913500*sinf*z2^2*z3 + 
    22050*ln2^2*z3^2 + 296100*ln2*sinf*z3^2 + 149625*sinf^2*z3^2 - 
    33075*z2*z3^2 - 592200*sinf*z2*z5 + 2835000*z3*z5 + 3505950*sinf*z7)/
   201600, H[1, 1, 0, 0, -1, 0, 1, 0, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 - 382725*s8a + 
    1612800*ln2*s6*sinf - 1612800*s7a*sinf - 1612800*s7b*sinf - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 463680*li4half*z2^2 + 
    81480*ln2^4*z2^2 + 115920*ln2^2*z2^3 - 282240*ln2*sinf*z2^3 + 
    93600*sinf^2*z2^3 + 395376*z2^4 - 1612800*li5half*z3 + 
    1209600*li4half*ln2*z3 + 63840*ln2^5*z3 - 1612800*li4half*sinf*z3 - 
    67200*ln2^4*sinf*z3 - 436800*ln2^3*z2*z3 + 403200*ln2^2*sinf*z2*z3 - 
    405720*ln2*z2^2*z3 + 1650600*sinf*z2^2*z3 + 529200*ln2^2*z3^2 - 
    957600*ln2*sinf*z3^2 - 340200*sinf^2*z3^2 + 1241100*z2*z3^2 + 
    6426000*sinf*z2*z5 - 3224025*z3*z5 - 14519925*sinf*z7)/403200, 
 H[1, 1, 0, 0, -1, 0, 1, -1, 1] -> 
  (197568000*li4half^2 + 16464000*li4half*ln2^4 + 343000*ln2^8 - 
    57456000*ln2^2*s6 + 116928000*ln2*s7a - 94752000*ln2*s7b + 
    169783425*s8a + 1189440000*s8b + 22176000*s8c + 260064000*s8d + 
    197568000*ln2*s6*sinf - 56448000*s7a*sinf - 268128000*s7b*sinf + 
    14112000*s6*sinf^2 + 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1293600*ln2^6*z2 - 745920000*s6*z2 + 
    84672000*li4half*ln2*sinf*z2 + 3528000*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 - 
    67939200*li4half*z2^2 - 4594800*ln2^4*z2^2 - 21168000*ln2^3*sinf*z2^2 - 
    7056000*ln2^2*sinf^2*z2^2 + 56296800*ln2^2*z2^3 - 
    72828000*ln2*sinf*z2^3 - 7165200*sinf^2*z2^3 - 55156092*z2^4 - 
    576576000*li5half*z3 + 91728000*li4half*ln2*z3 + 8626800*ln2^5*z3 - 
    127008000*li4half*sinf*z3 - 5292000*ln2^4*sinf*z3 - 
    33936000*ln2^3*z2*z3 + 105840000*ln2^2*sinf*z2*z3 + 
    47628000*ln2*sinf^2*z2*z3 - 140880600*ln2*z2^2*z3 + 
    132829200*sinf*z2^2*z3 + 136647000*ln2^2*z3^2 - 83349000*ln2*sinf*z3^2 - 
    9261000*sinf^2*z3^2 - 37359000*z2*z3^2 + 182280000*ln2^3*z5 + 
    136710000*ln2^2*sinf*z5 - 68355000*ln2*sinf^2*z5 + 335286000*ln2*z2*z5 + 
    862596000*sinf*z2*z5 + 605059875*z3*z5 - 779751000*ln2*z7 - 
    1615162500*sinf*z7)/28224000, H[1, 1, 0, 0, -1, 0, 0, 1, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 1428525*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 + 201600*li4half*z2^2 - 
    117600*ln2^4*z2^2 - 50400*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 + 
    57600*sinf^2*z2^3 + 105564*z2^4 + 2016000*li5half*z3 - 
    1512000*li4half*ln2*z3 - 79800*ln2^5*z3 + 2016000*li4half*sinf*z3 + 
    84000*ln2^4*sinf*z3 + 546000*ln2^3*z2*z3 - 504000*ln2^2*sinf*z2*z3 + 
    176400*ln2*z2^2*z3 - 1335600*sinf*z2^2*z3 - 661500*ln2^2*z3^2 + 
    1197000*ln2*sinf*z3^2 - 141750*sinf^2*z3^2 + 724500*z2*z3^2 - 
    693000*sinf*z2*z5 - 3787875*z3*z5 + 3488625*sinf*z7)/1008000, 
 H[1, 1, 0, 0, -1, 0, 0, 0, 1] -> (-7245*s8a - 6720*li4half*z2^2 - 
    280*ln2^4*z2^2 + 1680*ln2^2*z2^3 - 4960*sinf^2*z2^3 + 5336*z2^4 - 
    5880*ln2*z2^2*z3 - 4088*sinf*z2^2*z3 - 4620*z2*z3^2 - 25200*sinf*z2*z5 + 
    12215*z3*z5 + 79415*sinf*z7)/4480, H[1, 1, 0, 0, -1, 0, 0, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    2016000*ln2^2*s6 - 4032000*ln2*s7a + 38304000*ln2*s7b - 50500800*s8a - 
    223776000*s8b - 38304000*s8c - 4032000*s8d - 24192000*ln2*s6*sinf - 
    18144000*s7a*sinf + 24192000*s7b*sinf - 21168000*s6*sinf^2 - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 71568000*s6*z2 - 
    18093600*li4half*z2^2 + 128100*ln2^4*z2^2 + 3717000*ln2^2*z2^3 + 
    4233600*ln2*sinf*z2^3 - 4750200*sinf^2*z2^3 - 3094608*z2^4 + 
    18648000*li5half*z3 + 35280000*li4half*ln2*z3 + 1314600*ln2^5*z3 + 
    10584000*li4half*sinf*z3 + 441000*ln2^4*sinf*z3 - 7266000*ln2^3*z2*z3 - 
    2646000*ln2^2*sinf*z2*z3 - 2286900*ln2*z2^2*z3 - 14319900*sinf*z2^2*z3 + 
    12915000*ln2^2*z3^2 + 2457000*ln2*sinf*z3^2 + 8930250*sinf^2*z3^2 + 
    17317125*z2*z3^2 - 27342000*ln2^3*z5 + 41013000*ln2*sinf^2*z5 - 
    80955000*ln2*z2*z5 - 95098500*sinf*z2*z5 + 12269250*z3*z5 + 
    332577000*ln2*z7 + 161138250*sinf*z7)/7056000, 
 H[1, 1, 0, 0, -1, 0, -1, 1, 1] -> 
  (-98784000*li4half^2 - 8232000*li4half*ln2^4 - 171500*ln2^8 - 
    504000*ln2^2*s6 + 6172425*s8a - 87696000*s8b + 36288000*s8c - 
    71568000*s8d + 13104000*ln2*s6*sinf - 13104000*s7a*sinf + 
    22176000*s7b*sinf + 10584000*s6*sinf^2 - 42336000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 646800*ln2^6*z2 + 132552000*s6*z2 - 
    42336000*li4half*ln2*sinf*z2 - 1764000*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 + 
    66830400*li4half*z2^2 + 3666600*ln2^4*z2^2 + 10584000*ln2^3*sinf*z2^2 - 
    7056000*ln2^2*sinf^2*z2^2 - 24670800*ln2^2*z2^3 + 
    16833600*ln2*sinf*z2^3 - 5661600*sinf^2*z2^3 + 19857588*z2^4 + 
    189000000*li5half*z3 - 28224000*li4half*ln2*z3 - 2751000*ln2^5*z3 - 
    67032000*li4half*sinf*z3 - 2793000*ln2^4*sinf*z3 + 4284000*ln2^3*z2*z3 - 
    20286000*ln2^2*sinf*z2*z3 + 13230000*ln2*sinf^2*z2*z3 + 
    32974200*ln2*z2^2*z3 + 31638600*sinf*z2^2*z3 - 24066000*ln2^2*z3^2 - 
    41076000*ln2*sinf*z3^2 - 12899250*sinf^2*z3^2 + 13907250*z2*z3^2 - 
    22785000*ln2^3*z5 - 68355000*ln2^2*sinf*z5 - 30586500*ln2*z2*z5 - 
    32067000*sinf*z2*z5 - 312826500*z3*z5 + 8197875*sinf*z7)/14112000, 
 H[1, 1, 0, 0, -1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 335475*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 7560000*s6*z2 - 
    3830400*li4half*z2^2 + 344400*ln2^4*z2^2 + 957600*ln2^2*z2^3 - 
    1411200*ln2*sinf*z2^3 - 630000*sinf^2*z2^3 + 947904*z2^4 - 
    6048000*li5half*z3 + 8064000*li4half*ln2*z3 + 386400*ln2^5*z3 - 
    6048000*li4half*sinf*z3 - 252000*ln2^4*sinf*z3 - 2520000*ln2^3*z2*z3 + 
    1512000*ln2^2*sinf*z2*z3 - 3351600*ln2*z2^2*z3 + 2545200*sinf*z2^2*z3 + 
    3528000*ln2^2*z3^2 - 3024000*ln2*sinf*z3^2 + 1701000*sinf^2*z3^2 - 
    6394500*z2*z3^2 - 14647500*ln2*z2*z5 + 16222500*sinf*z2*z5 + 
    18191250*z3*z5 - 29917125*sinf*z7)/2016000, 
 H[1, 1, 0, 0, -1, 0, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    8904000*ln2^2*s6 - 17808000*ln2*s7a + 22176000*ln2*s7b - 31676925*s8a - 
    178080000*s8b - 22176000*s8c - 17808000*s8d - 1344000*ln2*s6*sinf - 
    26880000*s7a*sinf + 1344000*s7b*sinf - 8232000*s6*sinf^2 - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 77952000*s6*z2 - 
    15556800*li4half*z2^2 + 233800*ln2^4*z2^2 + 327600*ln2^2*z2^3 + 
    235200*ln2*sinf*z2^3 - 2548000*sinf^2*z2^3 + 1882312*z2^4 + 
    36792000*li5half*z3 + 25872000*li4half*ln2*z3 + 771400*ln2^5*z3 + 
    1176000*li4half*sinf*z3 + 49000*ln2^4*sinf*z3 - 3402000*ln2^3*z2*z3 - 
    294000*ln2^2*sinf*z2*z3 + 8542800*ln2*z2^2*z3 - 5943000*sinf*z2^2*z3 + 
    189000*ln2^2*z3^2 + 651000*ln2*sinf*z3^2 + 5549250*sinf^2*z3^2 + 
    8583750*z2*z3^2 - 25823000*ln2^3*z5 + 15949500*ln2*sinf^2*z5 - 
    43155000*ln2*z2*z5 - 20779500*sinf*z2*z5 - 14983500*z3*z5 + 
    150420375*ln2*z7 + 26586000*sinf*z7)/4704000, 
 H[1, 1, 0, 0, -1, -1, 1, 1, 1] -> (-84672000*li4half^2 + 141120000*li8half + 
    14112000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 81900*ln2^8 - 
    30240000*ln2^2*s6 + 67731300*s8a + 160776000*s8b + 60480000*s8c - 
    25200000*s8d + 112896000*li7half*sinf + 9408000*li4half*ln2^3*sinf + 
    369600*ln2^7*sinf - 94752000*ln2*s6*sinf + 94752000*s7a*sinf - 
    4032000*s7b*sinf + 42336000*li6half*sinf^2 + 58800*ln2^6*sinf^2 + 
    10584000*s6*sinf^2 - 42336000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    686000*ln2^6*z2 + 22176000*s6*z2 - 28224000*li4half*ln2*sinf*z2 - 
    3057600*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    1470000*ln2^4*sinf^2*z2 - 23385600*li4half*z2^2 + 1671600*ln2^4*z2^2 + 
    14582400*ln2^3*sinf*z2^2 - 176400*ln2^2*sinf^2*z2^2 + 
    9802800*ln2^2*z2^3 + 25905600*ln2*sinf*z2^3 - 2620800*sinf^2*z2^3 + 
    7530048*z2^4 + 124488000*li5half*z3 - 3528000*li4half*ln2*z3 + 
    873600*ln2^5*z3 + 105840000*li4half*sinf*z3 + 8526000*ln2^4*sinf*z3 + 
    2058000*ln2^3*sinf^2*z3 - 12264000*ln2^3*z2*z3 - 
    44982000*ln2^2*sinf*z2*z3 - 6174000*ln2*sinf^2*z2*z3 - 
    42298200*ln2*z2^2*z3 - 61462800*sinf*z2^2*z3 - 10048500*ln2^2*z3^2 + 
    115353000*ln2*sinf*z3^2 + 220500*sinf^2*z3^2 - 48888000*z2*z3^2 - 
    6835500*ln2^3*z5 + 95697000*ln2^2*sinf*z5 - 160933500*ln2*z2*z5 + 
    14931000*sinf*z2*z5 + 18167625*z3*z5 + 10977750*sinf*z7)/14112000, 
 H[1, 1, 0, 0, -1, -1, 1, 0, 1] -> 
  (45158400*li4half^2 + 3763200*li4half*ln2^4 + 78400*ln2^8 + 
    13104000*ln2^2*s6 - 13949775*s8a + 13003200*s8b - 26208000*s8c + 
    26208000*s8d + 37900800*ln2*s6*sinf - 37900800*s7a*sinf - 
    9676800*s7b*sinf + 4233600*s6*sinf^2 - 33868800*li6half*z2 + 
    16934400*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 - 70560*ln2^6*z2 - 
    79228800*s6*z2 - 22579200*li5half*sinf*z2 + 11289600*li4half*ln2*sinf*
     z2 + 658560*ln2^5*sinf*z2 - 13104000*li4half*z2^2 - 1957200*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 - 3175200*ln2^2*sinf^2*z2^2 + 
    7076160*ln2^2*z2^3 - 12862080*ln2*sinf*z2^3 - 147840*sinf^2*z2^3 - 
    4553496*z2^4 - 63705600*li5half*z3 + 18345600*li4half*ln2*z3 + 
    1295280*ln2^5*z3 - 22579200*li4half*sinf*z3 - 940800*ln2^4*sinf*z3 - 
    16800*ln2^3*z2*z3 + 17992800*ln2^2*sinf*z2*z3 + 
    2469600*ln2*sinf^2*z2*z3 + 698040*ln2*z2^2*z3 + 13718880*sinf*z2^2*z3 + 
    11711700*ln2^2*z3^2 - 31323600*ln2*sinf*z3^2 - 1984500*sinf^2*z3^2 + 
    31122000*z2*z3^2 - 27342000*ln2^2*sinf*z5 + 70421400*ln2*z2*z5 + 
    54532800*sinf*z2*z5 + 23774625*z3*z5 - 90518400*sinf*z7)/5644800, 
 H[1, 1, 0, 0, -1, -1, 1, -1, 1] -> (98784000*li4half^2 - 282240000*li8half + 
    112896000*li7half*ln2 + 56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    8232000*li4half*ln2^4 - 308700*ln2^8 + 56952000*ln2^2*s6 - 
    16128000*ln2*s7a - 171360000*ln2*s7b + 74094300*s8a + 326088000*s8b + 
    24192000*s8c + 74592000*s8d - 112896000*li7half*sinf + 
    112896000*li6half*ln2*sinf + 28224000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 840000*ln2^7*sinf + 238896000*ln2*s6*sinf - 
    133056000*s7a*sinf - 48384000*s7b*sinf - 28224000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 - 274400*ln2^6*sinf^2 - 3528000*s6*sinf^2 - 
    28224000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    35280000*li4half*ln2^2*z2 + 3234000*ln2^6*z2 - 247968000*s6*z2 - 
    28224000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    6820800*ln2^5*sinf*z2 + 7056000*li4half*sinf^2*z2 + 
    3234000*ln2^4*sinf^2*z2 - 38001600*li4half*z2^2 - 13637400*ln2^4*z2^2 - 
    39043200*ln2^3*sinf*z2^2 + 2998800*ln2^2*sinf^2*z2^2 + 
    8542800*ln2^2*z2^3 - 56498400*ln2*sinf*z2^3 - 2066400*sinf^2*z2^3 + 
    6863688*z2^4 - 142128000*li5half*z3 - 45864000*li4half*ln2*z3 - 
    4842600*ln2^5*z3 - 45864000*li4half*sinf*z3 - 10143000*ln2^4*sinf*z3 - 
    4116000*ln2^3*sinf^2*z3 + 53718000*ln2^3*z2*z3 + 
    48510000*ln2^2*sinf*z2*z3 + 9702000*ln2*sinf^2*z2*z3 + 
    60341400*ln2*z2^2*z3 + 11176200*sinf*z2^2*z3 - 189000*ln2^2*z3^2 - 
    119574000*ln2*sinf*z3^2 + 13009500*sinf^2*z3^2 - 39532500*z2*z3^2 + 
    152659500*ln2^3*z5 - 116203500*ln2^2*sinf*z5 - 34177500*ln2*sinf^2*z5 + 
    462987000*ln2*z2*z5 + 173659500*sinf*z2*z5 + 294721875*z3*z5 - 
    1286089875*ln2*z7 - 196977375*sinf*z7)/28224000, 
 H[1, 1, 0, 0, -1, -1, 0, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 425775*s8a + 
    2016000*ln2*s6*sinf - 2016000*s7a*sinf - 2016000*s7b*sinf + 
    4032000*li6half*z2 + 4032000*li5half*ln2*z2 - 28000*ln2^6*z2 + 
    1008000*s6*z2 + 2688000*li5half*sinf*z2 + 2688000*li4half*ln2*sinf*z2 + 
    89600*ln2^5*sinf*z2 + 672000*li4half*sinf^2*z2 + 28000*ln2^4*sinf^2*z2 - 
    907200*li4half*z2^2 - 37800*ln2^4*z2^2 - 448000*ln2^3*sinf*z2^2 - 
    168000*ln2^2*sinf^2*z2^2 + 226800*ln2^2*z2^3 - 352800*ln2*sinf*z2^3 - 
    170000*sinf^2*z2^3 - 290344*z2^4 - 7896000*li5half*z3 - 
    840000*li4half*ln2*z3 + 30800*ln2^5*z3 - 4368000*li4half*sinf*z3 - 
    182000*ln2^4*sinf*z3 + 140000*ln2^3*z2*z3 + 2268000*ln2^2*sinf*z2*z3 + 
    588000*ln2*sinf^2*z2*z3 - 793800*ln2*z2^2*z3 + 2965200*sinf*z2^2*z3 - 
    367500*ln2^2*z3^2 - 3255000*ln2*sinf*z3^2 - 283500*sinf^2*z3^2 + 
    609000*z2*z3^2 - 1953000*ln2*z2*z5 + 4284000*sinf*z2*z5 + 2367750*z3*z5 - 
    16545375*sinf*z7)/672000, H[1, 1, 0, 0, -1, -1, 0, 0, 1] -> 
  (-403200*li4half^2 - 33600*li4half*ln2^4 - 700*ln2^8 - 268800*ln2*s6*sinf + 
    268800*s7a*sinf + 268800*s7b*sinf + 201600*li4half*ln2^2*z2 + 
    8400*ln2^6*z2 + 141120*li4half*z2^2 - 19320*ln2^4*z2^2 - 
    35280*ln2^2*z2^3 + 47040*ln2*sinf*z2^3 - 24324*z2^4 + 571200*li5half*z3 - 
    134400*li4half*ln2*z3 - 10360*ln2^5*z3 + 336000*li4half*sinf*z3 + 
    14000*ln2^4*sinf*z3 + 81200*ln2^3*z2*z3 - 84000*ln2^2*sinf*z2*z3 + 
    123480*ln2*z2^2*z3 - 244440*sinf*z2^2*z3 - 58800*ln2^2*z3^2 + 
    218400*ln2*sinf*z3^2 + 9450*sinf^2*z3^2 - 87150*z2*z3^2 - 
    886200*sinf*z2*z5 - 213675*z3*z5 + 1925175*sinf*z7)/67200, 
 H[1, 1, 0, 0, -1, -1, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    12096000*ln2^2*s6 + 24192000*ln2*s7a + 28896000*ln2*s7b - 20634075*s8a - 
    37968000*s8b - 28896000*s8c + 24192000*s8d - 5376000*ln2*s6*sinf + 
    672000*s7a*sinf + 5376000*s7b*sinf - 2352000*s6*sinf^2 + 
    14112000*li6half*z2 + 14112000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 392000*ln2^6*z2 - 37800000*s6*z2 + 
    9408000*li5half*sinf*z2 + 9408000*li4half*ln2*sinf*z2 + 
    313600*ln2^5*sinf*z2 + 2352000*li4half*sinf^2*z2 + 
    98000*ln2^4*sinf^2*z2 - 15624000*li4half*z2^2 + 231000*ln2^4*z2^2 - 
    1568000*ln2^3*sinf*z2^2 - 588000*ln2^2*sinf^2*z2^2 + 8744400*ln2^2*z2^3 + 
    940800*ln2*sinf*z2^3 - 389200*sinf^2*z2^3 - 12268892*z2^4 - 
    67200000*li5half*z3 + 30576000*li4half*ln2*z3 + 1834000*ln2^5*z3 - 
    10584000*li4half*sinf*z3 - 441000*ln2^4*sinf*z3 - 11186000*ln2^3*z2*z3 + 
    6762000*ln2^2*sinf*z2*z3 + 2058000*ln2*sinf^2*z2*z3 - 
    28644000*ln2*z2^2*z3 + 7980000*sinf*z2^2*z3 + 28497000*ln2^2*z3^2 - 
    10773000*ln2*sinf*z3^2 - 2278500*sinf^2*z3^2 + 21598500*z2*z3^2 - 
    3038000*ln2^3*z5 + 4557000*ln2*sinf^2*z5 - 14290500*ln2*z2*z5 - 
    26229000*sinf*z2*z5 + 61275375*z3*z5 + 234858750*ln2*z7 + 
    13458375*sinf*z7)/4704000, H[1, 1, 0, 0, -1, -1, -1, 1, 1] -> 
  (28224000*li4half^2 + 282240000*li8half - 84672000*li6half*ln2^2 - 
    42336000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 198800*ln2^8 - 
    64512000*ln2^2*s6 + 80016300*s8a + 424368000*s8b + 86688000*s8c - 
    16128000*s8d + 169344000*li7half*sinf - 42336000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 464800*ln2^7*sinf - 15120000*ln2*s6*sinf + 
    15120000*s7a*sinf - 62496000*s7b*sinf + 42336000*li6half*sinf^2 - 
    7056000*li4half*ln2^2*sinf^2 - 235200*ln2^6*sinf^2 + 21168000*s6*sinf^2 + 
    42336000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1509200*ln2^6*z2 - 3024000*s6*z2 + 
    42336000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    2704800*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 + 
    1470000*ln2^4*sinf^2*z2 + 3830400*li4half*z2^2 - 2486400*ln2^4*z2^2 + 
    235200*ln2^3*sinf*z2^2 - 6879600*ln2^2*sinf^2*z2^2 + 9777600*ln2^2*z2^3 + 
    15220800*ln2*sinf*z2^3 - 8038800*sinf^2*z2^3 + 1198908*z2^4 - 
    105336000*li5half*z3 - 24696000*li4half*ln2*z3 - 2209200*ln2^5*z3 - 
    70560000*li4half*sinf*z3 - 7056000*ln2^4*sinf*z3 - 
    2058000*ln2^3*sinf^2*z3 + 4158000*ln2^3*z2*z3 + 
    23814000*ln2^2*sinf*z2*z3 + 10584000*ln2*sinf^2*z2*z3 - 
    72702000*ln2*z2^2*z3 + 58980600*sinf*z2^2*z3 - 21231000*ln2^2*z3^2 - 
    2709000*ln2*sinf*z3^2 - 15214500*sinf^2*z3^2 - 55093500*z2*z3^2 + 
    20506500*ln2^3*z5 + 95697000*ln2^2*sinf*z5 - 301077000*ln2*z2*z5 + 
    165501000*sinf*z2*z5 - 46785375*z3*z5 - 573370875*sinf*z7)/14112000, 
 H[1, 1, 0, 0, -1, -1, -1, 0, 1] -> 
  (-403200*li4half^2 - 33600*li4half*ln2^4 - 700*ln2^8 - 67200*ln2*s6*sinf + 
    67200*s7a*sinf + 67200*s7b*sinf - 806400*li6half*z2 - 
    806400*li5half*ln2*z2 - 201600*li4half*ln2^2*z2 - 2800*ln2^6*z2 - 
    201600*s6*z2 - 336000*li5half*sinf*z2 - 336000*li4half*ln2*sinf*z2 - 
    11200*ln2^5*sinf*z2 - 33600*li4half*sinf^2*z2 - 1400*ln2^4*sinf^2*z2 + 
    241920*li4half*z2^2 + 35280*ln2^4*z2^2 + 56000*ln2^3*sinf*z2^2 + 
    8400*ln2^2*sinf^2*z2^2 - 60480*ln2^2*z2^3 + 11760*ln2*sinf*z2^3 - 
    520*sinf^2*z2^3 + 75972*z2^4 + 840000*li5half*z3 + 
    134400*li4half*ln2*z3 - 1400*ln2^5*z3 + 252000*li4half*sinf*z3 + 
    10500*ln2^4*sinf*z3 - 81200*ln2^3*z2*z3 - 210000*ln2^2*sinf*z2*z3 - 
    29400*ln2*sinf^2*z2*z3 + 211680*ln2*z2^2*z3 - 174720*sinf*z2^2*z3 + 
    58800*ln2^2*z3^2 + 201600*ln2*sinf*z3^2 + 41475*sinf^2*z3^2 - 
    48825*z2*z3^2 + 390600*ln2*z2*z5 - 30450*sinf*z2*z5 - 411075*z3*z5 + 
    889875*sinf*z7)/67200, H[1, 1, 0, 0, -1, -1, -1, -1, 1] -> 
  (2016000*li4half^2 + 20160000*li8half + 20160000*li7half*ln2 + 
    10080000*li6half*ln2^2 + 3360000*li5half*ln2^3 + 1008000*li4half*ln2^4 + 
    21000*ln2^8 - 2016000*ln2^2*s6 + 4032000*ln2*s7a + 1932525*s8a + 
    22176000*s8b + 4032000*s8d + 8064000*li7half*sinf + 
    8064000*li6half*ln2*sinf + 4032000*li5half*ln2^2*sinf + 
    1344000*li4half*ln2^3*sinf + 32000*ln2^7*sinf + 1008000*ln2*s6*sinf - 
    1008000*s7b*sinf + 1008000*li6half*sinf^2 + 1008000*li5half*ln2*sinf^2 + 
    504000*li4half*ln2^2*sinf^2 + 14000*ln2^6*sinf^2 - 252000*s6*sinf^2 - 
    5040000*li6half*z2 - 5040000*li5half*ln2*z2 - 3528000*li4half*ln2^2*z2 - 
    182000*ln2^6*z2 - 10332000*s6*z2 - 1008000*li5half*sinf*z2 - 
    1008000*li4half*ln2*sinf*z2 - 168000*ln2^5*sinf*z2 - 
    63000*ln2^4*sinf^2*z2 - 907200*li4half*z2^2 + 403200*ln2^4*z2^2 + 
    168000*ln2^3*sinf*z2^2 + 1033200*ln2^2*z2^3 - 176400*ln2*sinf*z2^3 - 
    273600*sinf^2*z2^3 - 1486296*z2^4 - 5544000*li5half*z3 + 
    6048000*li4half*ln2*z3 + 445200*ln2^5*z3 + 252000*li4half*sinf*z3 + 
    304500*ln2^4*sinf*z3 + 147000*ln2^3*sinf^2*z3 - 2709000*ln2^3*z2*z3 - 
    504000*ln2^2*sinf*z2*z3 - 4523400*ln2*z2^2*z3 + 226800*sinf*z2^2*z3 + 
    5166000*ln2^2*z3^2 + 504000*ln2*sinf*z3^2 + 63000*sinf^2*z3^2 - 
    1323000*z2*z3^2 + 2604000*ln2^3*z5 + 488250*ln2*sinf^2*z5 + 
    614250*ln2*z2*z5 + 2504250*sinf*z2*z5 + 4732875*z3*z5 - 7938000*ln2*z7 - 
    11048625*sinf*z7)/1008000, H[1, 1, 0, -1, 1, 1, 1, 1, 1] -> 
  (56448000*li8half + 1400*ln2^8 + 53424000*ln2^2*s6 - 232118775*s8a - 
    1545768000*s8b - 106848000*s8c - 104832000*s8d - 169344000*li7half*sinf + 
    33600*ln2^7*sinf - 86688000*ln2*s6*sinf + 86688000*s7a*sinf - 
    40320000*s7b*sinf + 84672000*li6half*sinf^2 + 117600*ln2^6*sinf^2 - 
    14112000*s6*sinf^2 - 84672000*li6half*z2 - 156800*ln2^6*z2 + 
    329616000*s6*z2 - 705600*ln2^5*sinf*z2 - 28224000*li4half*sinf^2*z2 - 
    1176000*ln2^4*sinf^2*z2 - 60480000*li4half*z2^2 + 8400*ln2^4*z2^2 + 
    9172800*ln2^3*sinf*z2^2 + 4939200*ln2^2*sinf^2*z2^2 + 
    46922400*ln2^2*z2^3 + 60681600*ln2*sinf*z2^3 + 57514896*z2^4 + 
    209664000*li5half*z3 - 1335600*ln2^5*z3 + 112896000*li4half*sinf*z3 + 
    4704000*ln2^4*sinf*z3 + 13356000*ln2^3*z2*z3 - 
    28224000*ln2^2*sinf*z2*z3 + 118200600*ln2*z2^2*z3 + 
    28526400*sinf*z2^2*z3 + 15025500*ln2^2*z3^2 + 108360000*ln2*sinf*z3^2 - 
    7056000*sinf^2*z3^2 + 128425500*z2*z3^2 + 123039000*ln2^2*sinf*z5 + 
    320544000*ln2*z2*z5 + 122409000*sinf*z2*z5 - 44328375*z3*z5 - 
    442685250*sinf*z7)/56448000, H[1, 1, 0, -1, 1, 1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    26208000*ln2^2*s6 + 178324650*s8a + 1550304000*s8b + 52416000*s8c + 
    145152000*s8d + 68544000*ln2*s6*sinf - 68544000*s7a*sinf + 
    227808000*s7b*sinf - 112896000*li6half*sinf^2 - 156800*ln2^6*sinf^2 + 
    21168000*s6*sinf^2 + 282240000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 
    980000*ln2^6*z2 - 537264000*s6*z2 - 169344000*li5half*sinf*z2 + 
    1411200*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 + 
    1764000*ln2^4*sinf^2*z2 + 50198400*li4half*z2^2 - 5552400*ln2^4*z2^2 - 
    24696000*ln2^3*sinf*z2^2 + 1058400*ln2^2*sinf^2*z2^2 - 
    33768000*ln2^2*z2^3 - 68997600*ln2*sinf*z2^3 + 10080000*sinf^2*z2^3 - 
    71539056*z2^4 - 120960000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1050000*ln2^5*z3 + 35280000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 + 
    6384000*ln2^3*z2*z3 - 8820000*ln2^2*sinf*z2*z3 - 
    42336000*ln2*sinf^2*z2*z3 - 73861200*ln2*z2^2*z3 - 
    164102400*sinf*z2^2*z3 - 32067000*ln2^2*z3^2 - 85680000*ln2*sinf*z3^2 + 
    39690000*sinf^2*z3^2 - 99729000*z2*z3^2 - 287091000*ln2^2*sinf*z5 - 
    157248000*ln2*z2*z5 - 676683000*sinf*z2*z5 - 42918750*z3*z5 + 
    1925319375*sinf*z7)/56448000, H[1, 1, 0, -1, 1, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 1016064000*li8half - 423360000*li7half*ln2 - 
    70560000*li6half*ln2^2 - 4704000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 
    49000*ln2^8 + 29232000*ln2^2*s6 - 58464000*ln2*s7a + 12096000*ln2*s7b - 
    55194300*s8a - 662256000*s8b - 12096000*s8c - 58464000*s8d - 
    225792000*li7half*sinf - 141120000*li6half*ln2*sinf - 
    14112000*li5half*ln2^2*sinf - 33600*ln2^7*sinf - 24192000*ln2*s6*sinf - 
    46368000*s7a*sinf + 151200000*s7b*sinf - 84672000*li6half*sinf^2 - 
    14112000*li5half*ln2*sinf^2 - 35280000*s6*sinf^2 + 155232000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 
    222768000*s6*z2 + 14112000*li5half*sinf*z2 + 705600*ln2^5*sinf*z2 - 
    14112000*li4half*sinf^2*z2 - 1764000*ln2^4*sinf^2*z2 + 
    9475200*li4half*z2^2 - 3015600*ln2^4*z2^2 + 2116800*ln2^3*sinf*z2^2 + 
    4939200*ln2^2*sinf^2*z2^2 - 63050400*ln2^2*z2^3 - 
    10634400*ln2*sinf*z2^3 + 10785600*sinf^2*z2^3 + 43125912*z2^4 + 
    92232000*li5half*z3 - 49392000*li4half*ln2*z3 - 3032400*ln2^5*z3 + 
    35280000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 + 22092000*ln2^3*z2*z3 - 
    8820000*ln2^2*sinf*z2*z3 - 37044000*ln2*sinf^2*z2*z3 + 
    30895200*ln2*z2^2*z3 - 88804800*sinf*z2^2*z3 - 58149000*ln2^2*z3^2 - 
    9891000*ln2*sinf*z3^2 + 29436750*sinf^2*z3^2 - 17277750*z2*z3^2 - 
    45570000*ln2^3*z5 - 123039000*ln2^2*sinf*z5 + 68355000*ln2*sinf^2*z5 - 
    138159000*ln2*z2*z5 - 518679000*sinf*z2*z5 + 249180750*z3*z5 + 
    767371500*ln2*z7 + 1221467625*sinf*z7)/28224000, 
 H[1, 1, 0, -1, 1, 1, 0, 1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 + 
    57456000*ln2^2*s6 - 177091425*s8a + 291816000*s8b - 114912000*s8c + 
    114912000*s8d + 334656000*ln2*s6*sinf - 334656000*s7a*sinf - 
    249984000*s7b*sinf - 7056000*s6*sinf^2 + 56448000*li6half*z2 - 
    42336000*li4half*ln2^2*z2 - 1685600*ln2^6*z2 - 434448000*s6*z2 - 
    169344000*li5half*sinf*z2 + 1411200*ln2^5*sinf*z2 + 
    155232000*li4half*sinf^2*z2 + 6468000*ln2^4*sinf^2*z2 + 
    117532800*li4half*z2^2 + 9013200*ln2^4*z2^2 - 14112000*ln2^3*sinf*z2^2 - 
    33516000*ln2^2*sinf^2*z2^2 - 42285600*ln2^2*z2^3 - 
    49795200*ln2*sinf*z2^3 - 35616000*sinf^2*z2^3 - 18151368*z2^4 + 
    108864000*li5half*z3 + 148176000*li4half*ln2*z3 + 5266800*ln2^5*z3 - 
    557424000*li4half*sinf*z3 - 23226000*ln2^4*sinf*z3 - 
    19740000*ln2^3*z2*z3 + 139356000*ln2^2*sinf*z2*z3 + 
    121716000*ln2*sinf^2*z2*z3 + 156403800*ln2*z2^2*z3 + 
    426963600*sinf*z2^2*z3 + 87160500*ln2^2*z3^2 - 418320000*ln2*sinf*z3^2 - 
    63283500*sinf^2*z3^2 + 166887000*z2*z3^2 - 82026000*ln2^2*sinf*z5 + 
    344736000*ln2*z2*z5 + 711396000*sinf*z2*z5 - 608540625*z3*z5 - 
    1893606750*sinf*z7)/56448000, H[1, 1, 0, -1, 1, 1, 0, 0, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 - 
    6300000*ln2^2*s6 + 14825475*s8a - 74844000*s8b + 12600000*s8c - 
    12600000*s8d - 29736000*ln2*s6*sinf + 29736000*s7a*sinf - 
    5544000*s7b*sinf - 8820000*s6*sinf^2 + 3528000*li4half*ln2^2*z2 + 
    147000*ln2^6*z2 + 71064000*s6*z2 + 28224000*li5half*sinf*z2 - 
    235200*ln2^5*sinf*z2 - 3528000*li4half*sinf^2*z2 - 
    147000*ln2^4*sinf^2*z2 + 655200*li4half*z2^2 - 413700*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 + 4851000*ln2^2*sinf^2*z2^2 + 655200*ln2^2*z2^3 + 
    12285000*ln2*sinf*z2^3 + 1113000*sinf^2*z2^3 - 496989*z2^4 - 
    24192000*li5half*z3 - 12348000*li4half*ln2*z3 - 312900*ln2^5*z3 + 
    29988000*li4half*sinf*z3 + 1249500*ln2^4*sinf*z3 + 1071000*ln2^3*z2*z3 - 
    7497000*ln2^2*sinf*z2*z3 - 5292000*ln2*sinf^2*z2*z3 - 
    19164600*ln2*z2^2*z3 - 15627150*sinf*z2^2*z3 - 4858875*ln2^2*z3^2 + 
    37170000*ln2*sinf*z3^2 + 5843250*sinf^2*z3^2 - 24829875*z2*z3^2 + 
    34177500*ln2^2*sinf*z5 - 37800000*ln2*z2*z5 + 6473250*sinf*z2*z5 + 
    96760125*z3*z5 - 37563750*sinf*z7)/7056000, 
 H[1, 1, 0, -1, 1, 1, 0, -1, 1] -> (28224000*li4half^2 - 4515840000*li8half - 
    2709504000*li7half*ln2 - 677376000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 161000*ln2^8 + 
    943488000*ln2^2*s6 - 693504000*ln2*s7a + 1056384000*ln2*s7b - 
    1979937225*s8a - 11768904000*s8b - 1445472000*s8c - 1038240000*s8d - 
    2709504000*li7half*sinf - 1354752000*li6half*ln2*sinf - 
    225792000*li5half*ln2^2*sinf + 537600*ln2^7*sinf - 94752000*ln2*s6*sinf - 
    850752000*s7a*sinf + 1040256000*s7b*sinf - 677376000*li6half*sinf^2 - 
    225792000*li5half*ln2*sinf^2 + 940800*ln2^6*sinf^2 - 
    296352000*s6*sinf^2 + 1382976000*li6half*z2 + 451584000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 2744000*ln2^6*z2 + 3981600000*s6*z2 + 
    141120000*li5half*sinf*z2 - 3057600*ln2^5*sinf*z2 + 
    14112000*li4half*sinf^2*z2 - 4116000*ln2^4*sinf^2*z2 - 
    228816000*li4half*z2^2 + 1050000*ln2^4*z2^2 + 11760000*ln2^3*sinf*z2^2 + 
    44452800*ln2^2*sinf^2*z2^2 - 221860800*ln2^2*z2^3 + 
    173174400*ln2*sinf*z2^3 + 94533600*sinf^2*z2^3 + 139712064*z2^4 + 
    1787184000*li5half*z3 + 49392000*li4half*ln2*z3 - 12835200*ln2^5*z3 - 
    35280000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 + 
    140700000*ln2^3*z2*z3 + 8820000*ln2^2*sinf*z2*z3 + 
    26460000*ln2*sinf^2*z2*z3 + 1151224200*ln2*z2^2*z3 - 
    254091600*sinf*z2^2*z3 - 470893500*ln2^2*z3^2 - 708876000*ln2*sinf*z3^2 + 
    96799500*sinf^2*z3^2 + 1307911500*z2*z3^2 - 1672419000*ln2^3*z5 - 
    1763559000*ln2^2*sinf*z5 + 68355000*ln2*sinf^2*z5 + 
    1041894000*ln2*z2*z5 - 3193344000*sinf*z2*z5 - 1788908625*z3*z5 + 
    6962539500*ln2*z7 + 7222099500*sinf*z7)/56448000, 
 H[1, 1, 0, -1, 1, 1, -1, 1, 1] -> (16934400*li4half^2 + 191923200*li8half - 
    28224000*li6half*ln2^2 - 7526400*li5half*ln2^3 + 705600*li4half*ln2^4 + 
    28280*ln2^8 - 40420800*ln2^2*s6 + 62259750*s8a + 419328000*s8b + 
    59673600*s8c + 24998400*s8d + 39513600*li7half*sinf - 
    11289600*li5half*ln2^2*sinf - 1881600*li4half*ln2^3*sinf + 
    7840*ln2^7*sinf + 11289600*ln2*s6*sinf - 11289600*s7a*sinf - 
    28224000*s7b*sinf + 8467200*li6half*sinf^2 - 1411200*li4half*ln2^2*
     sinf^2 - 47040*ln2^6*sinf^2 - 1411200*s6*sinf^2 + 19756800*li6half*z2 + 
    22579200*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 - 274400*ln2^6*z2 - 
    80337600*s6*z2 + 11289600*li5half*sinf*z2 + 5644800*li4half*ln2*sinf*z2 - 
    164640*ln2^5*sinf*z2 + 5644800*li4half*sinf^2*z2 + 
    940800*ln2^4*sinf^2*z2 - 2761920*li4half*z2^2 + 1231440*ln2^4*z2^2 - 
    3786720*ln2^3*sinf*z2^2 - 3139920*ln2^2*sinf^2*z2^2 + 
    6249600*ln2^2*z2^3 + 5574240*ln2*sinf*z2^3 - 2444400*sinf^2*z2^3 - 
    1463688*z2^4 - 89510400*li5half*z3 + 14817600*li4half*ln2*z3 + 
    1322160*ln2^5*z3 - 20462400*li4half*sinf*z3 - 852600*ln2^4*sinf*z3 - 
    10752000*ln2^3*z2*z3 + 5115600*ln2^2*sinf*z2*z3 + 
    11113200*ln2*sinf^2*z2*z3 - 60580800*ln2*z2^2*z3 + 
    29123640*sinf*z2^2*z3 + 979650*ln2^2*z3^2 - 14112000*ln2*sinf*z3^2 - 
    5490450*sinf^2*z3^2 - 63277200*z2*z3^2 + 13671000*ln2^3*z5 + 
    36911700*ln2^2*sinf*z5 - 220033800*ln2*z2*z5 + 62930700*sinf*z2*z5 + 
    47961900*z3*z5 - 229110525*sinf*z7)/5644800, 
 H[1, 1, 0, -1, 1, 1, -1, 0, 1] -> 
  (-70560000*li4half^2 - 5880000*li4half*ln2^4 - 122500*ln2^8 + 
    19152000*ln2^2*s6 + 27313650*s8a - 146160000*s8b - 38304000*s8c + 
    38304000*s8d - 129024000*ln2*s6*sinf + 129024000*s7a*sinf - 
    26208000*s7b*sinf - 395136000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1450400*ln2^6*z2 - 235368000*s6*z2 - 
    28224000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*z2 - 
    1528800*ln2^5*sinf*z2 - 21168000*li4half*sinf^2*z2 - 
    882000*ln2^4*sinf^2*z2 + 51408000*li4half*z2^2 - 2856000*ln2^4*z2^2 + 
    8232000*ln2^3*sinf*z2^2 + 15876000*ln2^2*sinf^2*z2^2 + 
    29887200*ln2^2*z2^3 - 18900000*ln2*sinf*z2^3 + 3880800*sinf^2*z2^3 - 
    19207656*z2^4 + 78624000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    2713200*ln2^5*z3 + 81144000*li4half*sinf*z3 + 3381000*ln2^4*sinf*z3 + 
    16842000*ln2^3*z2*z3 - 20286000*ln2^2*sinf*z2*z3 - 
    34398000*ln2*sinf^2*z2*z3 + 26233200*ln2*z2^2*z3 - 
    64171800*sinf*z2^2*z3 - 14679000*ln2^2*z3^2 + 161280000*ln2*sinf*z3^2 + 
    18632250*sinf^2*z3^2 + 80104500*z2*z3^2 + 150381000*ln2^2*sinf*z5 + 
    422509500*ln2*z2*z5 + 169816500*sinf*z2*z5 + 124889625*z3*z5 - 
    8190000*sinf*z7)/28224000, H[1, 1, 0, -1, 1, 1, -1, -1, 1] -> 
  (56448000*li8half + 1072512000*li7half*ln2 + 536256000*li6half*ln2^2 + 
    103488000*li5half*ln2^3 + 7056000*li4half*ln2^4 - 35000*ln2^8 + 
    327600000*ln2^2*s6 + 104832000*ln2*s7a - 106848000*ln2*s7b - 
    513042075*s8a - 2580984000*s8b - 441504000*s8c - 249984000*s8d + 
    451584000*li7half*sinf + 508032000*li6half*ln2*sinf + 
    197568000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf - 
    246400*ln2^7*sinf + 173376000*ln2*s6*sinf + 38304000*s7a*sinf - 
    32256000*s7b*sinf + 225792000*li6half*sinf^2 + 
    84672000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 + 
    196000*ln2^6*sinf^2 + 155232000*s6*sinf^2 - 479808000*li6half*z2 - 
    282240000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 + 39200*ln2^6*z2 + 
    584640000*s6*z2 - 84672000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 + 2587200*ln2^5*sinf*z2 - 4704000*ln2^4*sinf^2*z2 - 
    52819200*li4half*z2^2 - 6669600*ln2^4*z2^2 + 31752000*ln2^3*sinf*z2^2 - 
    7408800*ln2^2*sinf^2*z2^2 - 51307200*ln2^2*z2^3 + 2721600*ln2*sinf*z2^3 - 
    18900000*sinf^2*z2^3 + 50754528*z2^4 + 676368000*li5half*z3 + 
    56448000*li4half*ln2*z3 - 2872800*ln2^5*z3 + 7056000*li4half*sinf*z3 + 
    294000*ln2^4*sinf*z3 + 38136000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    5292000*ln2*sinf^2*z2*z3 + 492143400*ln2*z2^2*z3 - 252000*sinf*z2^2*z3 + 
    124551000*ln2^2*z3^2 - 31500000*ln2*sinf*z3^2 - 55125000*sinf^2*z3^2 + 
    553612500*z2*z3^2 + 13671000*ln2^3*z5 - 300762000*ln2^2*sinf*z5 - 
    164052000*ln2*sinf^2*z5 + 2178162000*ln2*z2*z5 + 261009000*sinf*z2*z5 - 
    1161019125*z3*z5 - 2045287125*ln2*z7 - 715349250*sinf*z7)/56448000, 
 H[1, 1, 0, -1, 1, 0, 1, 1, 1] -> (-161280*li4half^2 - 13440*li4half*ln2^4 - 
    280*ln2^8 + 26880*ln2^2*s6 + 392700*s8a + 1223040*s8b - 53760*s8c + 
    53760*s8d - 157440*ln2*s6*sinf + 157440*s7a*sinf + 157440*s7b*sinf + 
    188160*s6*sinf^2 + 80640*li4half*ln2^2*z2 + 3360*ln2^6*z2 - 
    295680*s6*z2 - 26880*li4half*sinf^2*z2 - 1120*ln2^4*sinf^2*z2 + 
    594048*li4half*z2^2 + 14672*ln2^4*z2^2 + 6720*ln2^2*sinf^2*z2^2 - 
    147168*ln2^2*z2^3 - 127968*ln2*sinf*z2^3 - 9024*sinf^2*z2^3 - 
    434376*z2^4 - 282240*li4half*ln2*z3 - 11760*ln2^5*z3 - 
    336000*li4half*sinf*z3 - 14000*ln2^4*sinf*z3 + 70560*ln2^3*z2*z3 + 
    84000*ln2^2*sinf*z2*z3 - 221760*ln2*sinf^2*z2*z3 - 48384*ln2*z2^2*z3 - 
    524064*sinf*z2^2*z3 - 121800*ln2^2*z3^2 + 196800*ln2*sinf*z3^2 + 
    120120*sinf^2*z3^2 + 43680*z2*z3^2 + 161280*ln2*z2*z5 - 
    462480*sinf*z2*z5 + 1191540*z3*z5 + 2892285*sinf*z7)/107520, 
 H[1, 1, 0, -1, 1, 0, 1, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 4032000*ln2^2*s6 - 4545450*s8a - 23688000*s8b + 
    8064000*s8c - 8064000*s8d + 2880000*ln2*s6*sinf - 2880000*s7a*sinf - 
    2880000*s7b*sinf - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    22176000*s6*z2 + 4032000*li4half*sinf^2*z2 + 168000*ln2^4*sinf^2*z2 - 
    16128000*li4half*z2^2 - 168000*ln2^4*z2^2 - 1008000*ln2^2*sinf^2*z2^2 + 
    3830400*ln2^2*z2^3 + 792000*ln2*sinf*z2^3 + 210000*sinf^2*z2^3 + 
    12002748*z2^4 + 8064000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    520800*ln2^5*z3 + 14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 - 
    2856000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 + 
    6048000*ln2*sinf^2*z2*z3 - 1801800*ln2*z2^2*z3 + 9774000*sinf*z2^2*z3 + 
    2394000*ln2^2*z3^2 - 3600000*ln2*sinf*z3^2 - 8190000*sinf^2*z3^2 + 
    7938000*z2*z3^2 - 24192000*ln2*z2*z5 + 24651000*sinf*z2*z5 - 
    62700750*z3*z5 - 77752125*sinf*z7)/4032000, 
 H[1, 1, 0, -1, 1, 0, 1, -1, 1] -> 
  (141120000*li4half^2 + 9031680000*li8half + 5419008000*li7half*ln2 + 
    1354752000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 21000*ln2^8 - 1334592000*ln2^2*s6 + 
    1296288000*ln2*s7a - 1201536000*ln2*s7b + 2542686300*s8a + 
    17156160000*s8b + 1685376000*s8c + 1560384000*s8d + 
    5419008000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf - 1075200*ln2^7*sinf + 
    467712000*ln2*s6*sinf + 1141056000*s7a*sinf - 1808352000*s7b*sinf + 
    1354752000*li6half*sinf^2 + 451584000*li5half*ln2*sinf^2 - 
    1881600*ln2^6*sinf^2 + 733824000*s6*sinf^2 - 2709504000*li6half*z2 - 
    818496000*li5half*ln2*z2 - 70560000*li4half*ln2^2*z2 + 744800*ln2^6*z2 - 
    6281856000*s6*z2 - 451584000*li5half*sinf*z2 - 
    254016000*li4half*ln2*sinf*z2 - 3057600*ln2^5*sinf*z2 + 
    112896000*li4half*sinf^2*z2 + 14112000*ln2^4*sinf^2*z2 + 
    138499200*li4half*z2^2 + 2830800*ln2^4*z2^2 + 25872000*ln2^3*sinf*z2^2 - 
    134769600*ln2^2*sinf^2*z2^2 + 400327200*ln2^2*z2^3 - 
    50148000*ln2*sinf*z2^3 - 183254400*sinf^2*z2^3 - 208454472*z2^4 - 
    2386944000*li5half*z3 + 691488000*li4half*ln2*z3 + 48703200*ln2^5*z3 - 
    112896000*li4half*sinf*z3 - 4704000*ln2^4*sinf*z3 - 
    408828000*ln2^3*z2*z3 + 28224000*ln2^2*sinf*z2*z3 + 
    153468000*ln2*sinf^2*z2*z3 - 1574748000*ln2*z2^2*z3 + 
    672310800*sinf*z2^2*z3 + 1041579000*ln2^2*z3^2 + 
    693378000*ln2*sinf*z3^2 - 335160000*sinf^2*z3^2 - 1214199000*z2*z3^2 + 
    2232930000*ln2^3*z5 + 2296728000*ln2^2*sinf*z5 - 
    560511000*ln2*sinf^2*z5 - 220374000*ln2*z2*z5 + 5964714000*sinf*z2*z5 + 
    472799250*z3*z5 - 11383942500*ln2*z7 - 14523917625*sinf*z7)/56448000, 
 H[1, 1, 0, -1, 1, 0, 0, 1, 1] -> (26880*ln2^2*s6 + 44625*s8a - 725760*s8b - 
    53760*s8c + 53760*s8d - 42240*ln2*s6*sinf + 42240*s7a*sinf + 
    42240*s7b*sinf - 134400*s6*sinf^2 + 215040*s6*z2 - 
    107520*li4half*sinf^2*z2 - 4480*ln2^4*sinf^2*z2 - 59136*li4half*z2^2 - 
    2464*ln2^4*z2^2 + 26880*ln2^2*sinf^2*z2^2 + 16128*ln2^2*z2^3 + 
    85152*ln2*sinf*z2^3 + 15888*sinf^2*z2^3 - 59664*z2^4 - 53760*li5half*z3 + 
    448*ln2^5*z3 + 268800*li4half*sinf*z3 + 11200*ln2^4*sinf*z3 - 
    4480*ln2^3*z2*z3 - 67200*ln2^2*sinf*z2*z3 + 30240*ln2*sinf^2*z2*z3 + 
    44352*ln2*z2^2*z3 - 120336*sinf*z2^2*z3 + 25200*ln2^2*z3^2 + 
    52800*ln2*sinf*z3^2 + 55860*sinf^2*z3^2 - 89460*z2*z3^2 + 
    161280*ln2*z2*z5 + 180840*sinf*z2*z5 + 600285*z3*z5 - 318390*sinf*z7)/
   53760, H[1, 1, 0, -1, 1, 0, 0, 0, 1] -> 
  (-86625*s8a + 756000*s8b + 76800*ln2*s6*sinf - 76800*s7a*sinf - 
    76800*s7b*sinf + 134400*s6*sinf^2 - 470400*s6*z2 + 107520*li4half*z2^2 + 
    4480*ln2^4*z2^2 - 26880*ln2^2*z2^3 - 99840*ln2*sinf*z2^3 - 
    24680*sinf^2*z2^3 + 26034*z2^4 - 268800*li4half*sinf*z3 - 
    11200*ln2^4*sinf*z3 + 67200*ln2^2*sinf*z2*z3 + 20580*ln2*z2^2*z3 + 
    57780*sinf*z2^2*z3 - 96000*ln2*sinf*z3^2 - 31500*sinf^2*z3^2 + 
    109200*z2*z3^2 - 133500*sinf*z2*z5 - 401625*z3*z5 + 546150*sinf*z7)/
   67200, H[1, 1, 0, -1, 1, 0, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    18345600*ln2^2*s6 - 2419200*ln2*s7a - 41932800*ln2*s7b + 55011600*s8a + 
    245851200*s8b + 47174400*s8c + 26208000*s8d - 10080000*ln2*s6*sinf + 
    15724800*s7a*sinf - 23788800*s7b*sinf - 16934400*s6*sinf^2 + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 65116800*s6*z2 - 
    5644800*li4half*sinf^2*z2 - 235200*ln2^4*sinf^2*z2 + 
    32336640*li4half*z2^2 - 416640*ln2^4*z2^2 + 1411200*ln2^2*sinf^2*z2^2 - 
    1925280*ln2^2*z2^3 - 11027520*ln2*sinf*z2^3 - 2131920*sinf^2*z2^3 - 
    8511912*z2^4 - 48182400*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1656480*ln2^5*z3 + 1411200*li4half*sinf*z3 + 58800*ln2^4*sinf*z3 + 
    8332800*ln2^3*z2*z3 - 352800*ln2^2*sinf*z2*z3 - 
    3175200*ln2*sinf^2*z2*z3 - 15487920*ln2*z2^2*z3 - 710640*sinf*z2^2*z3 - 
    8555400*ln2^2*z3^2 + 25565400*ln2*sinf*z3^2 + 9790200*sinf^2*z3^2 - 
    62105400*z2*z3^2 + 47392800*ln2^3*z5 + 65620800*ln2^2*sinf*z5 + 
    27342000*ln2*sinf^2*z5 - 71794800*ln2*z2*z5 + 59780700*sinf*z2*z5 + 
    148202775*z3*z5 - 129109050*ln2*z7 - 78170400*sinf*z7)/5644800, 
 H[1, 1, 0, -1, 1, 0, -1, 1, 1] -> 
  (-536256000*li4half^2 - 2257920000*li8half + 677376000*li6half*ln2^2 + 
    301056000*li5half*ln2^3 + 11760000*li4half*ln2^4 - 203000*ln2^8 + 
    742896000*ln2^2*s6 - 553900725*s8a - 3096072000*s8b - 893088000*s8c + 
    441504000*s8d - 1806336000*li7half*sinf + 451584000*li5half*ln2^2*sinf + 
    150528000*li4half*ln2^3*sinf + 2867200*ln2^7*sinf + 
    280224000*ln2*s6*sinf - 280224000*s7a*sinf + 693504000*s7b*sinf - 
    677376000*li6half*sinf^2 + 112896000*li4half*ln2^2*sinf^2 + 
    3763200*ln2^6*sinf^2 - 366912000*s6*sinf^2 - 987840000*li5half*ln2*z2 - 
    183456000*li4half*ln2^2*z2 - 980000*ln2^6*z2 - 586656000*s6*z2 - 
    451584000*li5half*sinf*z2 - 197568000*li4half*ln2*sinf*z2 - 
    11995200*ln2^5*sinf*z2 - 56448000*li4half*sinf^2*z2 - 
    16464000*ln2^4*sinf^2*z2 + 405820800*li4half*z2^2 + 13969200*ln2^4*z2^2 + 
    11760000*ln2^3*sinf*z2^2 + 120657600*ln2^2*sinf^2*z2^2 - 
    207648000*ln2^2*z2^3 - 123177600*ln2*sinf*z2^3 + 93139200*sinf^2*z2^3 - 
    302958216*z2^4 + 789264000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    14809200*ln2^5*z3 + 204624000*li4half*sinf*z3 + 8526000*ln2^4*sinf*z3 + 
    152208000*ln2^3*z2*z3 - 51156000*ln2^2*sinf*z2*z3 - 
    68796000*ln2*sinf^2*z2*z3 + 791469000*ln2*z2^2*z3 - 
    358671600*sinf*z2^2*z3 + 6741000*ln2^2*z3^2 - 350280000*ln2*sinf*z3^2 + 
    174856500*sinf^2*z3^2 + 629023500*z2*z3^2 - 428358000*ln2^3*z5 - 
    1585836000*ln2^2*sinf*z5 + 3857175000*ln2*z2*z5 - 1425060000*sinf*z2*z5 + 
    241691625*z3*z5 + 5078414250*sinf*z7)/56448000, 
 H[1, 1, 0, -1, 1, 0, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    28224000*ln2^2*s6 + 17531325*s8a + 35784000*s8b + 56448000*s8c - 
    56448000*s8d + 17856000*ln2*s6*sinf - 17856000*s7a*sinf - 
    17856000*s7b*sinf + 8064000*s6*sinf^2 + 145152000*li6half*z2 + 
    96768000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 772800*ln2^6*z2 + 
    178416000*s6*z2 + 96768000*li5half*sinf*z2 + 48384000*li4half*ln2*sinf*
     z2 + 1209600*ln2^5*sinf*z2 + 12096000*li4half*sinf^2*z2 + 
    504000*ln2^4*sinf^2*z2 - 48283200*li4half*z2^2 + 508200*ln2^4*z2^2 - 
    4032000*ln2^3*sinf*z2^2 - 3024000*ln2^2*sinf^2*z2^2 + 
    10659600*ln2^2*z2^3 + 8690400*ln2*sinf*z2^3 - 3270000*sinf^2*z2^3 + 
    24108492*z2^4 - 62496000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    1108800*ln2^5*z3 - 44352000*li4half*sinf*z3 - 1848000*ln2^4*sinf*z3 - 
    8736000*ln2^3*z2*z3 + 11088000*ln2^2*sinf*z2*z3 + 
    4536000*ln2*sinf^2*z2*z3 - 55629000*ln2*z2^2*z3 + 26137800*sinf*z2^2*z3 - 
    5292000*ln2^2*z3^2 - 22320000*ln2*sinf*z3^2 - 4536000*sinf^2*z3^2 - 
    59235750*z2*z3^2 - 307030500*ln2*z2*z5 - 62365500*sinf*z2*z5 + 
    14049000*z3*z5 - 80487000*sinf*z7)/4032000, 
 H[1, 1, 0, -1, 1, 0, -1, -1, 1] -> 
  (22579200*li4half^2 - 1354752000*li8half - 1083801600*li7half*ln2 - 
    406425600*li6half*ln2^2 - 90316800*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 61600*ln2^8 + 86889600*ln2^2*s6 - 
    197164800*ln2*s7a + 229017600*ln2*s7b - 349909875*s8a - 2389665600*s8b - 
    191520000*s8c - 248774400*s8d - 722534400*li7half*sinf - 
    541900800*li6half*ln2*sinf - 180633600*li5half*ln2^2*sinf - 
    30105600*li4half*ln2^3*sinf - 358400*ln2^7*sinf - 144345600*ln2*s6*sinf - 
    149184000*s7a*sinf + 172569600*s7b*sinf - 135475200*li6half*sinf^2 - 
    90316800*li5half*ln2*sinf^2 - 22579200*li4half*ln2^2*sinf^2 - 
    376320*ln2^6*sinf^2 - 79027200*s6*sinf^2 + 406425600*li6half*z2 + 
    270950400*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 846720*ln2^6*z2 + 
    943488000*s6*z2 + 90316800*li5half*sinf*z2 + 45158400*li4half*ln2*sinf*
     z2 + 1881600*ln2^5*sinf*z2 + 11289600*li4half*sinf^2*z2 + 
    1411200*ln2^4*sinf^2*z2 - 59633280*li4half*z2^2 - 3895920*ln2^4*z2^2 - 
    3763200*ln2^3*sinf*z2^2 - 2822400*ln2^2*sinf^2*z2^2 - 
    28284480*ln2^2*z2^3 + 6269760*ln2*sinf*z2^3 + 9616320*sinf^2*z2^3 + 
    63407664*z2^4 + 318326400*li5half*z3 - 50803200*li4half*ln2*z3 - 
    4769520*ln2^5*z3 - 43747200*li4half*sinf*z3 - 1822800*ln2^4*sinf*z3 + 
    39228000*ln2^3*z2*z3 + 10936800*ln2^2*sinf*z2*z3 - 
    1058400*ln2*sinf^2*z2*z3 + 176473080*ln2*z2^2*z3 - 
    34478640*sinf*z2^2*z3 - 149360400*ln2^2*z3^2 - 76406400*ln2*sinf*z3^2 + 
    30208500*sinf^2*z3^2 + 148138200*z2*z3^2 - 284356800*ln2^3*z5 - 
    54684000*ln2^2*sinf*z5 + 128507400*ln2*sinf^2*z5 - 497019600*ln2*z2*z5 - 
    645485400*sinf*z2*z5 - 79189425*z3*z5 + 2269181250*ln2*z7 + 
    1582698600*sinf*z7)/11289600, H[1, 1, 0, -1, 1, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 - 508032000*li8half - 9408000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 + 65800*ln2^8 - 83664000*ln2^2*s6 + 214351200*s8a + 
    274176000*s8b + 167328000*s8c - 124992000*s8d + 451584000*li7half*sinf + 
    4704000*li4half*ln2^3*sinf + 106400*ln2^7*sinf - 185472000*ln2*s6*sinf + 
    185472000*s7a*sinf + 114912000*s7b*sinf - 127008000*li6half*sinf^2 - 
    176400*ln2^6*sinf^2 + 127008000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 - 490000*ln2^6*z2 + 228816000*s6*z2 - 
    14112000*li4half*ln2*sinf*z2 + 117600*ln2^5*sinf*z2 - 
    21168000*li4half*sinf^2*z2 - 4410000*ln2^4*sinf^2*z2 + 
    6753600*li4half*z2^2 - 2688000*ln2^4*z2^2 + 1764000*ln2^3*sinf*z2^2 + 
    19051200*ln2^2*sinf^2*z2^2 + 31147200*ln2^2*z2^3 + 
    54532800*ln2*sinf*z2^3 + 20613600*sinf^2*z2^3 + 20233692*z2^4 + 
    200592000*li5half*z3 - 74088000*li4half*ln2*z3 - 1260000*ln2^5*z3 + 
    77616000*li4half*sinf*z3 + 12495000*ln2^4*sinf*z3 + 
    6174000*ln2^3*sinf^2*z3 - 5922000*ln2^3*z2*z3 - 
    74970000*ln2^2*sinf*z2*z3 - 79380000*ln2*sinf^2*z2*z3 - 
    193573800*ln2*z2^2*z3 - 226989000*sinf*z2^2*z3 - 59031000*ln2^2*z3^2 + 
    231840000*ln2*sinf*z3^2 + 50935500*sinf^2*z3^2 - 133213500*z2*z3^2 + 
    20506500*ln2^3*z5 + 68355000*ln2^2*sinf*z5 - 563503500*ln2*z2*z5 - 
    335349000*sinf*z2*z5 + 341263125*z3*z5 + 852476625*sinf*z7)/28224000, 
 H[1, 1, 0, -1, 1, -1, 1, 0, 1] -> 
  (12096000*li4half^2 + 1008000*li4half*ln2^4 + 21000*ln2^8 + 
    50400000*ln2^2*s6 - 125892900*s8a - 516096000*s8b - 100800000*s8c - 
    12096000*s8d - 7200000*ln2*s6*sinf + 7200000*s7a*sinf - 
    73440000*s7b*sinf + 64512000*li6half*sinf^2 + 89600*ln2^6*sinf^2 + 
    16128000*s6*sinf^2 - 137088000*li6half*z2 - 8064000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 50400000*s6*z2 + 
    24192000*li5half*sinf*z2 + 4032000*li4half*ln2*sinf*z2 - 
    33600*ln2^5*sinf*z2 - 1344000*ln2^4*sinf^2*z2 - 5443200*li4half*z2^2 + 
    697200*ln2^4*z2^2 + 7056000*ln2^3*sinf*z2^2 - 4636800*ln2^2*sinf^2*z2^2 - 
    8618400*ln2^2*z2^3 - 10044000*ln2*sinf*z2^3 - 7617600*sinf^2*z2^3 + 
    10710576*z2^4 + 16128000*li5half*z3 - 134400*ln2^5*z3 - 
    8064000*li4half*sinf*z3 - 336000*ln2^4*sinf*z3 + 13104000*ln2^3*z2*z3 + 
    23184000*ln2^2*sinf*z2*z3 + 11340000*ln2*sinf^2*z2*z3 + 
    88552800*ln2*z2^2*z3 + 49539600*sinf*z2^2*z3 + 17703000*ln2^2*z3^2 + 
    9000000*ln2*sinf*z3^2 - 16380000*sinf^2*z3^2 + 131229000*z2*z3^2 + 
    78120000*ln2^2*sinf*z5 + 319977000*ln2*z2*z5 + 221904000*sinf*z2*z5 - 
    167548500*z3*z5 - 510325875*sinf*z7)/8064000, 
 H[1, 1, 0, -1, 1, -1, 1, -1, 1] -> 
  (366912000*li8half - 254016000*li7half*ln2 - 98784000*li6half*ln2^2 - 
    4704000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 185500*ln2^8 + 
    36792000*ln2^2*s6 - 46368000*ln2*s7a + 38304000*ln2*s7b - 24637725*s8a + 
    242424000*s8b - 44352000*s8c + 65520000*s8d - 818496000*li7half*sinf - 
    197568000*li6half*ln2*sinf - 42336000*li5half*ln2^2*sinf - 
    4704000*li4half*ln2^3*sinf + 44800*ln2^7*sinf + 52416000*ln2*s6*sinf - 
    115920000*s7a*sinf + 131040000*s7b*sinf - 42336000*li5half*ln2*sinf^2 + 
    352800*ln2^6*sinf^2 + 98784000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 1783600*ln2^6*z2 - 109872000*s6*z2 + 
    42336000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 - 
    1411200*ln2^5*sinf*z2 + 3528000*ln2^4*sinf^2*z2 + 19454400*li4half*z2^2 + 
    1222200*ln2^4*z2^2 - 3763200*ln2^3*sinf*z2^2 - 
    7408800*ln2^2*sinf^2*z2^2 - 41000400*ln2^2*z2^3 - 
    39866400*ln2*sinf*z2^3 + 3124800*sinf^2*z2^3 - 44542656*z2^4 - 
    191016000*li5half*z3 - 56448000*li4half*ln2*z3 - 4258800*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 9555000*ln2^4*sinf*z3 - 
    6174000*ln2^3*sinf^2*z3 + 39354000*ln2^3*z2*z3 + 
    57330000*ln2^2*sinf*z2*z3 + 29106000*ln2*sinf^2*z2*z3 + 
    54633600*ln2*z2^2*z3 - 9185400*sinf*z2^2*z3 - 76860000*ln2^2*z3^2 - 
    201348000*ln2*sinf*z3^2 - 9261000*sinf^2*z3^2 + 57519000*z2*z3^2 - 
    109368000*ln2^3*z5 - 259749000*ln2^2*sinf*z5 - 20506500*ln2*sinf^2*z5 + 
    120424500*ln2*z2*z5 - 372141000*sinf*z2*z5 - 139592250*z3*z5 + 
    51880500*ln2*z7 + 1230712875*sinf*z7)/28224000, 
 H[1, 1, 0, -1, 1, -1, 0, 1, 1] -> 
  (98784000*li4half^2 + 8232000*li4half*ln2^4 + 171500*ln2^8 - 
    8064000*ln2^2*s6 - 35757225*s8a - 425880000*s8b + 16128000*s8c - 
    16128000*s8d + 131040000*ln2*s6*sinf - 131040000*s7a*sinf - 
    215712000*s7b*sinf - 70560000*s6*sinf^2 - 197568000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 35280000*li4half*ln2^2*z2 - 1274000*ln2^6*z2 + 
    39312000*s6*z2 + 141120000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 - 
    66024000*li4half*z2^2 - 693000*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 - 
    12348000*ln2^2*sinf^2*z2^2 + 31878000*ln2^2*z2^3 + 
    28980000*ln2*sinf*z2^3 - 11524800*sinf^2*z2^3 + 40588104*z2^4 - 
    214704000*li5half*z3 + 98784000*li4half*ln2*z3 + 5905200*ln2^5*z3 - 
    88200000*li4half*sinf*z3 - 3675000*ln2^4*sinf*z3 - 34356000*ln2^3*z2*z3 + 
    59094000*ln2^2*sinf*z2*z3 + 105840000*ln2*sinf^2*z2*z3 + 
    21848400*ln2*z2^2*z3 + 207282600*sinf*z2^2*z3 + 37863000*ln2^2*z3^2 - 
    163800000*ln2*sinf*z3^2 - 22380750*sinf^2*z3^2 + 25058250*z2*z3^2 + 
    82026000*ln2^2*sinf*z5 + 74655000*ln2*z2*z5 + 591759000*sinf*z2*z5 + 
    161091000*z3*z5 - 1767520125*sinf*z7)/28224000, 
 H[1, 1, 0, -1, 1, -1, 0, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    11088000*ln2^2*s6 - 64575*s8a + 181188000*s8b - 22176000*s8c + 
    22176000*s8d + 27216000*ln2*s6*sinf - 27216000*s7a*sinf + 
    113904000*s7b*sinf + 35280000*s6*sinf^2 + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 - 150192000*s6*z2 - 112896000*li5half*sinf*z2 + 
    940800*ln2^5*sinf*z2 + 7257600*li4half*z2^2 - 579600*ln2^4*z2^2 - 
    9408000*ln2^3*sinf*z2^2 - 15876000*ln2^2*sinf^2*z2^2 - 
    5796000*ln2^2*z2^3 - 17211600*ln2*sinf*z2^3 - 1558200*sinf^2*z2^3 - 
    11005542*z2^4 + 117936000*li5half*z3 - 982800*ln2^5*z3 + 
    10584000*li4half*sinf*z3 + 441000*ln2^4*sinf*z3 + 9828000*ln2^3*z2*z3 - 
    2646000*ln2^2*sinf*z2*z3 - 7938000*ln2*sinf^2*z2*z3 + 
    30662100*ln2*z2^2*z3 - 72613800*sinf*z2^2*z3 - 1512000*ln2^2*z3^2 - 
    34020000*ln2*sinf*z3^2 + 3307500*sinf^2*z3^2 + 13655250*z2*z3^2 - 
    136710000*ln2^2*sinf*z5 + 66528000*ln2*z2*z5 - 296667000*sinf*z2*z5 - 
    90247500*z3*z5 + 823331250*sinf*z7)/14112000, 
 H[1, 1, 0, -1, 1, -1, 0, -1, 1] -> 
  (75264000*li4half^2 + 3010560000*li8half + 1806336000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 50176000*li5half*ln2^3 + 
    6272000*li4half*ln2^4 + 56000*ln2^8 - 431760000*ln2^2*s6 + 
    395136000*ln2*s7a - 460992000*ln2*s7b + 901072725*s8a + 5988360000*s8b + 
    562464000*s8c + 613536000*s8d + 1806336000*li7half*sinf + 
    903168000*li6half*ln2*sinf + 150528000*li5half*ln2^2*sinf - 
    358400*ln2^7*sinf + 157248000*ln2*s6*sinf + 331968000*s7a*sinf - 
    618240000*s7b*sinf + 451584000*li6half*sinf^2 + 
    150528000*li5half*ln2*sinf^2 - 627200*ln2^6*sinf^2 + 
    197568000*s6*sinf^2 - 969024000*li6half*z2 - 319872000*li5half*ln2*z2 - 
    32928000*li4half*ln2^2*z2 + 156800*ln2^6*z2 - 2278416000*s6*z2 - 
    103488000*li5half*sinf*z2 + 9408000*li4half*ln2*sinf*z2 + 
    2508800*ln2^5*sinf*z2 + 18816000*li4half*sinf^2*z2 + 
    3920000*ln2^4*sinf^2*z2 + 66259200*li4half*z2^2 - 179200*ln2^4*z2^2 - 
    10976000*ln2^3*sinf*z2^2 - 36691200*ln2^2*sinf^2*z2^2 + 
    126117600*ln2^2*z2^3 - 49996800*ln2*sinf*z2^3 - 67513600*sinf^2*z2^3 - 
    116794304*z2^4 - 1013040000*li5half*z3 + 115248000*li4half*ln2*z3 + 
    13244000*ln2^5*z3 - 51744000*li4half*sinf*z3 - 2156000*ln2^4*sinf*z3 - 
    110488000*ln2^3*z2*z3 + 25284000*ln2^2*sinf*z2*z3 + 
    15876000*ln2*sinf^2*z2*z3 - 590650200*ln2*z2^2*z3 + 
    201381600*sinf*z2^2*z3 + 357567000*ln2^2*z3^2 + 296331000*ln2*sinf*z3^2 - 
    79086000*sinf^2*z3^2 - 500272500*z2*z3^2 + 805070000*ln2^3*z5 + 
    847602000*ln2^2*sinf*z5 - 72912000*ln2*sinf^2*z5 - 119637000*ln2*z2*z5 + 
    1903839000*sinf*z2*z5 + 749298375*z3*z5 - 3599478750*ln2*z7 - 
    4743144000*sinf*z7)/18816000, H[1, 1, 0, -1, 1, -1, -1, 1, 1] -> 
  (-127008000*li4half^2 - 197568000*li8half + 141120000*li6half*ln2^2 + 
    65856000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 284200*ln2^8 + 
    142632000*ln2^2*s6 - 61470675*s8a - 424872000*s8b - 137088000*s8c + 
    115920000*s8d - 451584000*li7half*sinf + 84672000*li5half*ln2^2*sinf + 
    23520000*li4half*ln2^3*sinf + 364000*ln2^7*sinf + 156240000*ln2*s6*sinf - 
    156240000*s7a*sinf + 48384000*s7b*sinf - 127008000*li6half*sinf^2 + 
    21168000*li4half*ln2^2*sinf^2 + 705600*ln2^6*sinf^2 - 
    102312000*s6*sinf^2 - 14112000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 1724800*ln2^6*z2 - 193032000*s6*z2 - 
    84672000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*z2 - 
    3528000*ln2^5*sinf*z2 + 21168000*li4half*sinf^2*z2 + 
    882000*ln2^4*sinf^2*z2 + 100094400*li4half*z2^2 + 2965200*ln2^4*z2^2 + 
    13406400*ln2^3*sinf*z2^2 + 12700800*ln2^2*sinf^2*z2^2 - 
    41025600*ln2^2*z2^3 - 22176000*ln2*sinf*z2^3 + 8064000*sinf^2*z2^3 - 
    82202868*z2^4 + 57456000*li5half*z3 - 3977400*ln2^5*z3 - 
    17640000*li4half*sinf*z3 - 9996000*ln2^4*sinf*z3 - 
    6174000*ln2^3*sinf^2*z3 + 27426000*ln2^3*z2*z3 + 
    22932000*ln2^2*sinf*z2*z3 + 55566000*ln2*sinf^2*z2*z3 + 
    140540400*ln2*z2^2*z3 + 50122800*sinf*z2^2*z3 + 6930000*ln2^2*z3^2 - 
    195300000*ln2*sinf*z3^2 + 10584000*sinf^2*z3^2 + 94878000*z2*z3^2 - 
    129874500*ln2^3*z5 - 362281500*ln2^2*sinf*z5 + 739368000*ln2*z2*z5 + 
    15529500*sinf*z2*z5 + 59787000*z3*z5 + 250669125*sinf*z7)/28224000, 
 H[1, 1, 0, -1, 1, -1, -1, 0, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 - 
    404208000*ln2^2*s6 + 609554925*s8a + 2870280000*s8b + 808416000*s8c - 
    215712000*s8d + 159264000*ln2*s6*sinf - 159264000*s7a*sinf + 
    221760000*s7b*sinf - 338688000*li6half*sinf^2 - 470400*ln2^6*sinf^2 - 
    56448000*s6*sinf^2 + 1467648000*li6half*z2 + 564480000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 4429600*ln2^6*z2 + 763056000*s6*z2 + 
    451584000*li5half*sinf*z2 + 225792000*li4half*ln2*sinf*z2 + 
    5644800*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    9408000*ln2^4*sinf^2*z2 - 160272000*li4half*z2^2 + 6258000*ln2^4*z2^2 - 
    50568000*ln2^3*sinf*z2^2 + 15523200*ln2^2*sinf^2*z2^2 + 
    100094400*ln2^2*z2^3 + 115416000*ln2*sinf*z2^3 + 20311200*sinf^2*z2^3 + 
    139217688*z2^4 - 415296000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    5518800*ln2^5*z3 - 303408000*li4half*sinf*z3 - 12642000*ln2^4*sinf*z3 - 
    129276000*ln2^3*z2*z3 - 72324000*ln2^2*sinf*z2*z3 - 
    42336000*ln2*sinf^2*z2*z3 - 669400200*ln2*z2^2*z3 - 
    26712000*sinf*z2^2*z3 - 116770500*ln2^2*z3^2 - 199080000*ln2*sinf*z3^2 + 
    84231000*sinf^2*z3^2 - 986233500*z2*z3^2 - 369117000*ln2^2*sinf*z5 - 
    3532599000*ln2*z2*z5 - 1427139000*sinf*z2*z5 + 562030875*z3*z5 + 
    1840797000*sinf*z7)/56448000, H[1, 1, 0, -1, 1, -1, -1, -1, 1] -> 
  (141120000*li4half^2 + 677376000*li8half + 282240000*li7half*ln2 - 
    197568000*li6half*ln2^2 - 122304000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 362600*ln2^8 - 371952000*ln2^2*s6 + 
    104832000*ln2*s7a - 50400000*ln2*s7b + 241582950*s8a + 1840608000*s8b + 
    209664000*s8c + 185472000*s8d + 1411200000*li7half*sinf + 
    169344000*li6half*ln2*sinf - 141120000*li5half*ln2^2*sinf - 
    47040000*li4half*ln2^3*sinf - 828800*ln2^7*sinf - 205632000*ln2*s6*sinf + 
    177408000*s7a*sinf - 443520000*s7b*sinf + 282240000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 - 42336000*li4half*ln2^2*sinf^2 - 
    1607200*ln2^6*sinf^2 + 77616000*s6*sinf^2 - 366912000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 - 1528800*ln2^6*z2 - 
    632016000*s6*z2 - 28224000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 6115200*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    2352000*ln2^4*sinf^2*z2 - 61689600*li4half*z2^2 - 7980000*ln2^4*z2^2 - 
    20697600*ln2^3*sinf*z2^2 - 49392000*ln2^2*sinf^2*z2^2 + 
    122673600*ln2^2*z2^3 - 5241600*ln2*sinf*z2^3 - 69350400*sinf^2*z2^3 + 
    31585032*z2^4 - 363888000*li5half*z3 + 84672000*li4half*ln2*z3 + 
    13557600*ln2^5*z3 - 162288000*li4half*sinf*z3 + 11760000*ln2^4*sinf*z3 + 
    12348000*ln2^3*sinf^2*z3 - 96768000*ln2^3*z2*z3 + 
    3528000*ln2^2*sinf*z2*z3 - 275133600*ln2*z2^2*z3 + 
    192074400*sinf*z2^2*z3 + 190197000*ln2^2*z3^2 + 306432000*ln2*sinf*z3^2 - 
    32193000*sinf^2*z3^2 - 243243000*z2*z3^2 + 478485000*ln2^3*z5 + 
    1134693000*ln2^2*sinf*z5 + 205065000*ln2*sinf^2*z5 - 
    1214325000*ln2*z2*z5 + 1117179000*sinf*z2*z5 + 499306500*z3*z5 + 
    293887125*ln2*z7 - 3233207250*sinf*z7)/56448000, 
 H[1, 1, 0, -1, 0, 1, 1, 1, 1] -> (403200*li4half^2 + 33600*li4half*ln2^4 + 
    700*ln2^8 + 710325*s8a + 1209600*ln2*s6*sinf - 1209600*s7a*sinf - 
    1209600*s7b*sinf - 201600*li4half*ln2^2*z2 - 8400*ln2^6*z2 + 
    604800*li4half*sinf^2*z2 + 25200*ln2^4*sinf^2*z2 + 584640*li4half*z2^2 + 
    49560*ln2^4*z2^2 - 151200*ln2^2*sinf^2*z2^2 - 146160*ln2^2*z2^3 - 
    211680*ln2*sinf*z2^3 - 183840*sinf^2*z2^3 - 945948*z2^4 + 
    705600*li4half*ln2*z3 + 29400*ln2^5*z3 - 2116800*li4half*sinf*z3 - 
    88200*ln2^4*sinf*z3 - 176400*ln2^3*z2*z3 + 529200*ln2^2*sinf*z2*z3 + 
    529200*ln2*sinf^2*z2*z3 + 511560*ln2*z2^2*z3 + 970200*sinf*z2^2*z3 + 
    308700*ln2^2*z3^2 - 1512000*ln2*sinf*z3^2 - 160650*sinf^2*z3^2 - 
    148050*z2*z3^2 + 3553200*sinf*z2*z5 + 3551625*z3*z5 - 6901650*sinf*z7)/
   806400, H[1, 1, 0, -1, 0, 1, 1, 0, 1] -> 
  (-236775*s8a - 134400*li4half*z2^2 - 5600*ln2^4*z2^2 + 33600*ln2^2*z2^3 + 
    29200*sinf^2*z2^3 + 230936*z2^4 - 117600*ln2*z2^2*z3 + 
    215880*sinf*z2^2*z3 - 96600*sinf^2*z3^2 + 344400*z2*z3^2 + 
    344400*sinf*z2*z5 - 1528275*z3*z5 - 1245300*sinf*z7)/268800, 
 H[1, 1, 0, -1, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2257920000*li8half - 1354752000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 7000*ln2^8 + 287280000*ln2^2*s6 - 
    129024000*ln2*s7a + 379008000*ln2*s7b - 726438825*s8a - 4261320000*s8b - 
    570528000*s8c - 247968000*s8d - 1354752000*li7half*sinf - 
    677376000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    268800*ln2^7*sinf - 56448000*ln2*s6*sinf - 197568000*s7a*sinf + 
    310464000*s7b*sinf - 338688000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 + 470400*ln2^6*sinf^2 - 
    197568000*s6*sinf^2 + 677376000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1254400*ln2^6*z2 + 1229760000*s6*z2 + 
    112896000*li5half*sinf*z2 - 1881600*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 3528000*ln2^4*sinf^2*z2 - 
    32659200*li4half*z2^2 - 9004800*ln2^4*z2^2 + 9408000*ln2^3*sinf*z2^2 + 
    31046400*ln2^2*sinf^2*z2^2 - 104025600*ln2^2*z2^3 + 
    26107200*ln2*sinf*z2^3 + 49610400*sinf^2*z2^3 + 12066168*z2^4 + 
    298368000*li5half*z3 - 49392000*li4half*ln2*z3 - 4544400*ln2^5*z3 + 
    70560000*li4half*sinf*z3 + 2940000*ln2^4*sinf*z3 + 74256000*ln2^3*z2*z3 - 
    44100000*ln2^2*sinf*z2*z3 + 26460000*ln2*sinf^2*z2*z3 + 
    373476600*ln2*z2^2*z3 - 98960400*sinf*z2^2*z3 - 56574000*ln2^2*z3^2 - 
    198009000*ln2*sinf*z3^2 + 65268000*sinf^2*z3^2 + 480375000*z2*z3^2 - 
    473928000*ln2^3*z5 - 437472000*ln2^2*sinf*z5 + 54684000*ln2*sinf^2*z5 + 
    473004000*ln2*z2*z5 - 982548000*sinf*z2*z5 - 130307625*z3*z5 + 
    3012282000*ln2*z7 + 2680508250*sinf*z7)/56448000, 
 H[1, 1, 0, -1, 0, 1, 0, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 5006925*s8a - 
    24192000*ln2*s6*sinf + 24192000*s7a*sinf + 24192000*s7b*sinf + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 12096000*li4half*sinf^2*z2 - 
    504000*ln2^4*sinf^2*z2 - 4032000*li4half*z2^2 - 672000*ln2^4*z2^2 + 
    3024000*ln2^2*sinf^2*z2^2 + 1008000*ln2^2*z2^3 + 4233600*ln2*sinf*z2^3 + 
    2883600*sinf^2*z2^3 - 1496232*z2^4 - 14112000*li4half*ln2*z3 - 
    588000*ln2^5*z3 + 42336000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 + 
    3528000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 - 
    10584000*ln2*sinf^2*z2*z3 - 3528000*ln2*z2^2*z3 - 36288000*sinf*z2^2*z3 - 
    6174000*ln2^2*z3^2 + 30240000*ln2*sinf*z3^2 + 5733000*sinf^2*z3^2 + 
    1858500*z2*z3^2 - 67410000*sinf*z2*z5 + 17726625*z3*z5 + 
    185842125*sinf*z7)/4032000, H[1, 1, 0, -1, 0, 1, 0, 0, 1] -> 
  (28525*s8a + 53760*li4half*z2^2 + 2240*ln2^4*z2^2 - 13440*ln2^2*z2^3 + 
    13840*sinf^2*z2^3 - 34424*z2^4 + 47040*ln2*z2^2*z3 - 5040*sinf*z2^2*z3 - 
    25200*sinf^2*z3^2 - 11200*z2*z3^2 + 89600*sinf*z2*z5 + 93625*z3*z5 - 
    195125*sinf*z7)/44800, H[1, 1, 0, -1, 0, 1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    38304000*ln2^2*s6 - 76608000*ln2*s7a - 76608000*ln2*s7b + 48114675*s8a - 
    64008000*s8b + 76608000*s8c - 76608000*s8d + 20160000*ln2*s6*sinf - 
    20160000*s7a*sinf - 20160000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 153216000*s6*z2 + 34776000*li4half*z2^2 - 
    2079000*ln2^4*z2^2 - 24015600*ln2^2*z2^3 - 3528000*ln2*sinf*z2^3 + 
    75600*sinf^2*z2^3 + 9053028*z2^4 + 153216000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 5392800*ln2^5*z3 + 37464000*ln2^3*z2*z3 + 
    81660600*ln2*z2^2*z3 + 945000*sinf*z2^2*z3 - 91098000*ln2^2*z3^2 + 
    5670000*ln2*sinf*z3^2 - 59550750*z2*z3^2 - 4788000*ln2*z2*z5 + 
    72009000*sinf*z2*z5 - 55353375*z3*z5 - 407444625*ln2*z7 - 
    133087500*sinf*z7)/28224000, H[1, 1, 0, -1, 0, 1, -1, 1, 1] -> 
  (50803200*li4half^2 + 225792000*li8half - 67737600*li6half*ln2^2 - 
    30105600*li5half*ln2^3 - 1411200*li4half*ln2^4 + 15400*ln2^8 - 
    85680000*ln2^2*s6 + 113852025*s8a + 446241600*s8b + 120556800*s8c - 
    47174400*s8d + 180633600*li7half*sinf - 45158400*li5half*ln2^2*sinf - 
    15052800*li4half*ln2^3*sinf - 286720*ln2^7*sinf - 55238400*ln2*s6*sinf + 
    55238400*s7a*sinf - 6854400*s7b*sinf + 67737600*li6half*sinf^2 - 
    11289600*li4half*ln2^2*sinf^2 - 376320*ln2^6*sinf^2 + 
    53625600*s6*sinf^2 + 90316800*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 - 
    478240*ln2^6*z2 + 29433600*s6*z2 + 45158400*li5half*sinf*z2 + 
    45158400*li4half*ln2*sinf*z2 + 2257920*ln2^5*sinf*z2 - 
    11289600*li4half*sinf^2*z2 + 940800*ln2^4*sinf^2*z2 - 
    42456960*li4half*z2^2 + 1876560*ln2^4*z2^2 - 7526400*ln2^3*sinf*z2^2 - 
    6773760*ln2^2*sinf^2*z2^2 + 33909120*ln2^2*z2^3 + 
    14041440*ln2*sinf*z2^3 - 4704000*sinf^2*z2^3 + 23917128*z2^4 - 
    63705600*li5half*z3 + 530880*ln2^5*z3 + 11289600*li4half*sinf*z3 + 
    470400*ln2^4*sinf*z3 - 20126400*ln2^3*z2*z3 + 7761600*ln2^2*sinf*z2*z3 - 
    27518400*ln2*sinf^2*z2*z3 - 111880440*ln2*z2^2*z3 - 
    33521040*sinf*z2^2*z3 - 25023600*ln2^2*z3^2 + 69048000*ln2*sinf*z3^2 - 
    5203800*sinf^2*z3^2 - 82303200*z2*z3^2 + 25519200*ln2^3*z5 + 
    98431200*ln2^2*sinf*z5 - 438228000*ln2*z2*z5 - 16203600*sinf*z2*z5 + 
    29684025*z3*z5 - 76571775*sinf*z7)/11289600, 
 H[1, 1, 0, -1, 0, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    6720000*ln2^2*s6 - 6330975*s8a - 4536000*s8b - 13440000*s8c + 
    13440000*s8d - 4416000*ln2*s6*sinf + 4416000*s7a*sinf + 
    4416000*s7b*sinf - 2688000*s6*sinf^2 - 24192000*li6half*z2 - 
    16128000*li5half*ln2*z2 + 100800*ln2^6*z2 - 33264000*s6*z2 - 
    16128000*li5half*sinf*z2 - 8064000*li4half*ln2*sinf*z2 - 
    201600*ln2^5*sinf*z2 - 2688000*li4half*sinf^2*z2 - 
    112000*ln2^4*sinf^2*z2 + 7896000*li4half*z2^2 - 7000*ln2^4*z2^2 + 
    672000*ln2^3*sinf*z2^2 + 672000*ln2^2*sinf^2*z2^2 - 1638000*ln2^2*z2^3 - 
    710400*ln2*sinf*z2^3 + 955600*sinf^2*z2^3 - 4386196*z2^4 + 
    1344000*li5half*z3 - 4704000*li4half*ln2*z3 - 207200*ln2^5*z3 + 
    12096000*li4half*sinf*z3 + 504000*ln2^4*sinf*z3 + 1288000*ln2^3*z2*z3 - 
    3024000*ln2^2*sinf*z2*z3 + 9836400*ln2*z2^2*z3 - 5087400*sinf*z2^2*z3 + 
    1890000*ln2^2*z3^2 + 5520000*ln2*sinf*z3^2 - 126000*sinf^2*z3^2 + 
    11156250*z2*z3^2 + 53991000*ln2*z2*z5 + 5487000*sinf*z2*z5 + 
    3525375*z3*z5 + 19413750*sinf*z7)/1344000, 
 H[1, 1, 0, -1, 0, 1, -1, -1, 1] -> 
  (-225792000*li4half^2 + 1128960000*li8half + 1354752000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 188160000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 - 84000*ln2^8 + 169344000*ln2^2*s6 + 
    88704000*ln2*s7a - 292320000*ln2*s7b + 147086100*s8a + 1110816000*s8b - 
    8064000*s8c + 205632000*s8d + 451584000*li7half*sinf + 
    677376000*li6half*ln2*sinf + 338688000*li5half*ln2^2*sinf + 
    75264000*li4half*ln2^3*sinf + 1164800*ln2^7*sinf + 
    175392000*ln2*s6*sinf + 78624000*s7a*sinf + 8064000*s7b*sinf + 
    112896000*li5half*ln2*sinf^2 + 56448000*li4half*ln2^2*sinf^2 + 
    1411200*ln2^6*sinf^2 - 42336000*s6*sinf^2 - 338688000*li6half*z2 - 
    451584000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 2077600*ln2^6*z2 - 
    594720000*s6*z2 - 112896000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*
     z2 - 6585600*ln2^5*sinf*z2 - 84672000*li4half*sinf^2*z2 - 
    8232000*ln2^4*sinf^2*z2 + 206236800*li4half*z2^2 - 4342800*ln2^4*z2^2 + 
    18816000*ln2^3*sinf*z2^2 + 45158400*ln2^2*sinf^2*z2^2 - 
    92080800*ln2^2*z2^3 + 21672000*ln2*sinf*z2^3 + 24175200*sinf^2*z2^3 - 
    144526944*z2^4 - 157248000*li5half*z3 - 218736000*li4half*ln2*z3 - 
    7803600*ln2^5*z3 + 239904000*li4half*sinf*z3 + 9996000*ln2^4*sinf*z3 + 
    78624000*ln2^3*z2*z3 - 86436000*ln2^2*sinf*z2*z3 + 
    107427600*ln2*z2^2*z3 - 99338400*sinf*z2^2*z3 + 63063000*ln2^2*z3^2 + 
    49329000*ln2*sinf*z3^2 + 16978500*sinf^2*z3^2 - 36729000*z2*z3^2 + 
    182280000*ln2^3*z5 - 300762000*ln2^2*sinf*z5 - 177723000*ln2*sinf^2*z5 + 
    1441629000*ln2*z2*z5 + 156240000*sinf*z2*z5 + 124188750*z3*z5 - 
    2778528375*ln2*z7 - 443110500*sinf*z7)/56448000, 
 H[1, 1, 0, -1, 0, 0, 1, 1, 1] -> (403200*li4half^2 + 33600*li4half*ln2^4 + 
    700*ln2^8 - 1171800*s8a + 1209600*ln2*s6*sinf - 1209600*s7a*sinf - 
    1209600*s7b*sinf - 201600*li4half*ln2^2*z2 - 8400*ln2^6*z2 + 
    604800*li4half*sinf^2*z2 + 25200*ln2^4*sinf^2*z2 + 302400*li4half*z2^2 + 
    37800*ln2^4*z2^2 - 151200*ln2^2*sinf^2*z2^2 - 75600*ln2^2*z2^3 - 
    211680*ln2*sinf*z2^3 - 69360*sinf^2*z2^3 + 1006764*z2^4 + 
    705600*li4half*ln2*z3 + 29400*ln2^5*z3 - 2116800*li4half*sinf*z3 - 
    88200*ln2^4*sinf*z3 - 176400*ln2^3*z2*z3 + 529200*ln2^2*sinf*z2*z3 + 
    529200*ln2*sinf^2*z2*z3 + 264600*ln2*z2^2*z3 + 2840040*sinf*z2^2*z3 + 
    308700*ln2^2*z3^2 - 1512000*ln2*sinf*z3^2 - 513450*sinf^2*z3^2 + 
    204750*z2*z3^2 + 3553200*sinf*z2*z5 - 6375600*z3*z5 - 12929175*sinf*z7)/
   403200, H[1, 1, 0, -1, 0, 0, 1, 0, 1] -> 
  (413175*s8a - 806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 201600*ln2^2*z2^3 - 
    363600*sinf^2*z2^3 - 314992*z2^4 - 705600*ln2*z2^2*z3 - 
    768600*sinf*z2^2*z3 + 945000*sinf^2*z3^2 - 2184000*z2*z3^2 - 
    3486000*sinf*z2*z5 + 7273875*z3*z5 + 9035250*sinf*z7)/672000, 
 H[1, 1, 0, -1, 0, 0, 1, -1, 1] -> (14280000*ln2^2*s6 - 19488000*ln2*s7a + 
    15792000*ln2*s7b - 30515100*s8a - 191184000*s8b - 13104000*s8c - 
    33936000*s8d - 11424000*ln2*s6*sinf - 12096000*s7a*sinf + 
    23184000*s7b*sinf + 2352000*s6*sinf^2 + 100800000*s6*z2 - 
    9021600*li4half*z2^2 - 375900*ln2^4*z2^2 - 4061400*ln2^2*z2^3 + 
    2352000*ln2*sinf*z2^3 - 484400*sinf^2*z2^3 + 7436354*z2^4 + 
    67872000*li5half*z3 + 8232000*li4half*ln2*z3 - 222600*ln2^5*z3 + 
    3598000*ln2^3*z2*z3 - 7938000*ln2*sinf^2*z2*z3 + 16953300*ln2*z2^2*z3 - 
    9502500*sinf*z2^2*z3 - 14763000*ln2^2*z3^2 + 388500*ln2*sinf*z3^2 + 
    1764000*sinf^2*z3^2 + 10636500*z2*z3^2 - 30380000*ln2^3*z5 - 
    22785000*ln2^2*sinf*z5 + 11392500*ln2*sinf^2*z5 - 40005000*ln2*z2*z5 - 
    80598000*sinf*z2*z5 - 68567625*z3*z5 + 120624000*ln2*z7 + 
    143238375*sinf*z7)/4704000, H[1, 1, 0, -1, 0, 0, 0, 1, 1] -> 
  (-817425*s8a + 268800*li4half*z2^2 + 11200*ln2^4*z2^2 - 67200*ln2^2*z2^3 + 
    95600*sinf^2*z2^3 - 13248*z2^4 + 235200*ln2*z2^2*z3 + 
    336000*sinf*z2^2*z3 - 252000*sinf^2*z3^2 - 241500*z2*z3^2 - 
    2814000*sinf*z2*z5 + 679875*z3*z5 + 3504375*sinf*z7)/672000, 
 H[1, 1, 0, -1, 0, 0, 0, 0, 1] -> (344925*s8a + 186000*sinf^2*z2^3 - 
    102872*z2^4 + 201600*sinf*z2^2*z3 + 252000*z2*z3^2 + 1260000*sinf*z2*z5 - 
    942375*z3*z5 - 3304875*sinf*z7)/336000, H[1, 1, 0, -1, 0, 0, 0, -1, 1] -> 
  (-6048000*ln2^2*s6 + 12096000*ln2*s7a - 6720000*ln2*s7b + 16552725*s8a + 
    104496000*s8b + 6720000*s8c + 12096000*s8d + 6720000*ln2*s6*sinf + 
    12096000*s7a*sinf - 6720000*s7b*sinf + 9408000*s6*sinf^2 - 
    52416000*s6*z2 + 4065600*li4half*z2^2 + 169400*ln2^4*z2^2 + 
    1402800*ln2^2*z2^3 - 1176000*ln2*sinf*z2^3 + 2522800*sinf^2*z2^3 - 
    1091604*z2^4 - 24192000*li5half*z3 + 201600*ln2^5*z3 - 
    2016000*ln2^3*z2*z3 - 9353400*ln2*z2^2*z3 + 3372600*sinf*z2^2*z3 + 
    7560000*ln2^2*z3^2 + 1890000*ln2*sinf*z3^2 - 4851000*sinf^2*z3^2 + 
    729750*z2*z3^2 + 12152000*ln2^3*z5 - 18228000*ln2*sinf^2*z5 + 
    36624000*ln2*z2*z5 + 28707000*sinf*z2*z5 + 2606625*z3*z5 - 
    85926750*ln2*z7 - 45115875*sinf*z7)/4704000, 
 H[1, 1, 0, -1, 0, 0, -1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    13608000*ln2^2*s6 - 16668225*s8a + 80640000*s8b - 8064000*s8c + 
    43344000*s8d + 7056000*ln2*s6*sinf - 7056000*s7a*sinf - 
    42336000*s7b*sinf - 24696000*s6*sinf^2 - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 - 61992000*s6*z2 + 5846400*li4half*z2^2 + 
    1125600*ln2^4*z2^2 + 5796000*ln2^2*z2^3 - 2293200*ln2*sinf*z2^3 - 
    659400*sinf^2*z2^3 - 4686096*z2^4 - 86688000*li5half*z3 + 
    722400*ln2^5*z3 - 7224000*ln2^3*z2*z3 + 23814000*ln2*sinf^2*z2*z3 - 
    3206700*ln2*z2^2*z3 + 35897400*sinf*z2^2*z3 + 18553500*ln2^2*z3^2 - 
    8820000*ln2*sinf*z3^2 - 3638250*sinf^2*z3^2 - 17435250*z2*z3^2 + 
    22785000*ln2^3*z5 + 68355000*ln2^2*sinf*z5 - 17041500*ln2*z2*z5 + 
    91287000*sinf*z2*z5 + 101587500*z3*z5 - 256662000*sinf*z7)/14112000, 
 H[1, 1, 0, -1, 0, 0, -1, 0, 1] -> 
  (595350*s8a - 2520000*s6*z2 - 705600*li4half*z2^2 - 29400*ln2^4*z2^2 + 
    176400*ln2^2*z2^3 - 176400*sinf^2*z2^3 - 312974*z2^4 - 
    617400*ln2*z2^2*z3 + 12600*sinf*z2^2*z3 + 378000*sinf^2*z3^2 + 
    703500*z2*z3^2 + 4882500*ln2*z2*z5 + 556500*sinf*z2*z5 + 49875*z3*z5 - 
    367500*sinf*z7)/672000, H[1, 1, 0, -1, 0, 0, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    29232000*ln2^2*s6 + 58464000*ln2*s7a - 33264000*ln2*s7b + 69306300*s8a + 
    408240000*s8b + 33264000*s8c + 58464000*s8d + 27216000*ln2*s6*sinf + 
    29232000*s7a*sinf - 27216000*s7b*sinf + 10584000*s6*sinf^2 - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 201600000*s6*z2 + 
    1108800*li4half*z2^2 + 928200*ln2^4*z2^2 + 11415600*ln2^2*z2^3 - 
    4762800*ln2*sinf*z2^3 + 2335200*sinf^2*z2^3 - 8199132*z2^4 - 
    116928000*li5half*z3 + 24696000*li4half*ln2*z3 + 2003400*ln2^5*z3 - 
    15918000*ln2^3*z2*z3 - 61632900*ln2*z2^2*z3 + 8353800*sinf*z2^2*z3 + 
    47344500*ln2^2*z3^2 + 7654500*ln2*sinf*z3^2 - 4189500*sinf^2*z3^2 - 
    25609500*z2*z3^2 + 59241000*ln2^3*z5 - 20506500*ln2*sinf^2*z5 + 
    75978000*ln2*z2*z5 + 102217500*sinf*z2*z5 + 119219625*z3*z5 - 
    221634000*ln2*z7 - 156129750*sinf*z7)/14112000, 
 H[1, 1, 0, -1, 0, -1, 1, 1, 1] -> (239904000*li4half^2 - 112896000*li8half - 
    18816000*li5half*ln2^3 + 5880000*li4half*ln2^4 - 17500*ln2^8 + 
    102816000*ln2^2*s6 - 229924800*s8a - 222768000*s8b - 205632000*s8c + 
    177408000*s8d - 112896000*li7half*sinf - 18816000*li4half*ln2^3*sinf - 
    761600*ln2^7*sinf + 247968000*ln2*s6*sinf - 247968000*s7a*sinf - 
    219744000*s7b*sinf - 56448000*li6half*sinf^2 - 78400*ln2^6*sinf^2 - 
    49392000*s6*sinf^2 + 56448000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 - 291312000*s6*z2 + 
    56448000*li4half*ln2*sinf*z2 + 6585600*ln2^5*sinf*z2 + 
    70560000*li4half*sinf^2*z2 + 4116000*ln2^4*sinf^2*z2 + 
    77817600*li4half*z2^2 - 4695600*ln2^4*z2^2 - 14112000*ln2^3*sinf*z2^2 - 
    5644800*ln2^2*sinf^2*z2^2 - 34498800*ln2^2*z2^3 - 
    62445600*ln2*sinf*z2^3 - 8610000*sinf^2*z2^3 - 39313668*z2^4 - 
    453600000*li5half*z3 + 49392000*li4half*ln2*z3 + 898800*ln2^5*z3 - 
    359856000*li4half*sinf*z3 - 27342000*ln2^4*sinf*z3 - 
    8232000*ln2^3*sinf^2*z3 + 25998000*ln2^3*z2*z3 + 
    150822000*ln2^2*sinf*z2*z3 + 80262000*ln2*sinf^2*z2*z3 + 
    162124200*ln2*z2^2*z3 + 357323400*sinf*z2^2*z3 + 61330500*ln2^2*z3^2 - 
    309960000*ln2*sinf*z3^2 - 31421250*sinf^2*z3^2 + 137796750*z2*z3^2 + 
    9114000*ln2^3*z5 - 27342000*ln2^2*sinf*z5 + 589554000*ln2*z2*z5 + 
    644616000*sinf*z2*z5 - 88042500*z3*z5 - 1784325375*sinf*z7)/28224000, 
 H[1, 1, 0, -1, 0, -1, 1, 0, 1] -> 
  (-4838400*li4half^2 - 403200*li4half*ln2^4 - 8400*ln2^8 - 
    4032000*ln2^2*s6 + 5529825*s8a + 2721600*s8b + 8064000*s8c - 
    8064000*s8d - 2188800*ln2*s6*sinf + 2188800*s7a*sinf + 2188800*s7b*sinf + 
    1612800*s6*sinf^2 + 3225600*li6half*z2 - 1612800*li5half*ln2*z2 - 
    806400*li4half*ln2^2*z2 - 15680*ln2^6*z2 + 15321600*s6*z2 + 
    3225600*li5half*sinf*z2 - 1612800*li4half*ln2*sinf*z2 - 
    94080*ln2^5*sinf*z2 + 806400*li4half*sinf^2*z2 + 33600*ln2^4*sinf^2*z2 - 
    1350720*li4half*z2^2 + 246120*ln2^4*z2^2 + 672000*ln2^3*sinf*z2^2 - 
    201600*ln2^2*sinf^2*z2^2 + 136080*ln2^2*z2^3 + 1272960*ln2*sinf*z2^3 - 
    341040*sinf^2*z2^3 + 2699796*z2^4 + 16128000*li5half*z3 + 
    2822400*li4half*ln2*z3 - 16800*ln2^5*z3 + 1209600*li4half*sinf*z3 + 
    50400*ln2^4*sinf*z3 - 1008000*ln2^3*z2*z3 - 3124800*ln2^2*sinf*z2*z3 - 
    705600*ln2*sinf^2*z2*z3 - 2938320*ln2*z2^2*z3 - 2809080*sinf*z2^2*z3 - 
    1134000*ln2^2*z3^2 + 2736000*ln2*sinf*z3^2 + 302400*sinf^2*z3^2 - 
    7528500*z2*z3^2 - 23410800*ln2*z2*z5 - 12931200*sinf*z2*z5 - 
    5747175*z3*z5 + 25578450*sinf*z7)/806400, 
 H[1, 1, 0, -1, 0, -1, 1, -1, 1] -> 
  (112896000*li4half^2 + 2483712000*li8half + 1354752000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    37632000*li4half*ln2^4 + 1008000*ln2^8 - 644112000*ln2^2*s6 + 
    431424000*ln2*s7a + 8064000*ln2*s7b + 739190025*s8a + 4231080000*s8b + 
    594720000*s8c + 195552000*s8d + 1580544000*li7half*sinf + 
    677376000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 1254400*ln2^7*sinf - 8064000*ln2*s6*sinf + 
    177408000*s7a*sinf - 302400000*s7b*sinf + 451584000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 - 313600*ln2^6*sinf^2 + 
    254016000*s6*sinf^2 - 790272000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    310464000*li4half*ln2^2*z2 - 15131200*ln2^6*z2 - 1124928000*s6*z2 - 
    112896000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    11289600*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    2352000*ln2^4*sinf^2*z2 - 116121600*li4half*z2^2 + 53961600*ln2^4*z2^2 + 
    18816000*ln2^3*sinf*z2^2 - 62092800*ln2^2*sinf^2*z2^2 + 
    231789600*ln2^2*z2^3 + 23284800*ln2*sinf*z2^3 - 75163200*sinf^2*z2^3 + 
    28613904*z2^4 - 137088000*li5half*z3 + 797328000*li4half*ln2*z3 + 
    44242800*ln2^5*z3 - 84672000*li4half*sinf*z3 + 21168000*ln2^4*sinf*z3 + 
    16464000*ln2^3*sinf^2*z3 - 400092000*ln2^3*z2*z3 - 
    74088000*ln2^2*sinf*z2*z3 - 38808000*ln2*sinf^2*z2*z3 - 
    872260200*ln2*z2^2*z3 + 92232000*sinf*z2^2*z3 + 493353000*ln2^2*z3^2 + 
    297171000*ln2*sinf*z3^2 - 86436000*sinf^2*z3^2 - 529830000*z2*z3^2 + 
    401016000*ln2^3*z5 + 492156000*ln2^2*sinf*z5 + 27342000*ln2*sinf^2*z5 - 
    1794618000*ln2*z2*z5 + 875952000*sinf*z2*z5 + 123661125*z3*z5 - 
    125149500*ln2*z7 - 2700699750*sinf*z7)/56448000, 
 H[1, 1, 0, -1, 0, -1, 0, 1, 1] -> (-322560*li4half^2 - 26880*li4half*ln2^4 - 
    560*ln2^8 + 74970*s8a - 483840*ln2*s6*sinf + 483840*s7a*sinf + 
    483840*s7b*sinf - 161280*li6half*z2 - 161280*li5half*ln2*z2 + 
    80640*li4half*ln2^2*z2 + 4480*ln2^6*z2 - 40320*s6*z2 - 
    161280*li5half*sinf*z2 - 161280*li4half*ln2*sinf*z2 - 
    5376*ln2^5*sinf*z2 - 201600*li4half*sinf^2*z2 - 8400*ln2^4*sinf^2*z2 - 
    45360*li4half*z2^2 - 11970*ln2^4*z2^2 + 26880*ln2^3*sinf*z2^2 + 
    50400*ln2^2*sinf^2*z2^2 + 11340*ln2^2*z2^3 + 84672*ln2*sinf*z2^3 + 
    53172*sinf^2*z2^3 - 3726*z2^4 + 423360*li5half*z3 - 
    141120*li4half*ln2*z3 - 9408*ln2^5*z3 + 846720*li4half*sinf*z3 + 
    35280*ln2^4*sinf*z3 + 47040*ln2^3*z2*z3 - 282240*ln2^2*sinf*z2*z3 - 
    176400*ln2*sinf^2*z2*z3 - 39690*ln2*z2^2*z3 - 641970*sinf*z2^2*z3 - 
    61740*ln2^2*z3^2 + 604800*ln2*sinf*z3^2 + 79380*sinf^2*z3^2 - 
    60795*z2*z3^2 + 78120*ln2*z2*z5 - 1379700*sinf*z2*z5 + 242865*z3*z5 + 
    3774960*sinf*z7)/40320, H[1, 1, 0, -1, 0, -1, 0, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 855225*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 1310400*li4half*z2^2 + 
    558600*ln2^4*z2^2 - 327600*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 + 
    1159200*sinf^2*z2^3 + 425304*z2^4 - 14112000*li5half*z3 + 
    117600*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 
    1176000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 + 1146600*ln2*z2^2*z3 + 
    11881800*sinf*z2^2*z3 - 10080000*ln2*sinf*z3^2 - 2835000*sinf^2*z3^2 + 
    7119000*z2*z3^2 + 35280000*sinf*z2*z5 - 10859625*z3*z5 - 
    85483125*sinf*z7)/2016000, H[1, 1, 0, -1, 0, -1, 0, -1, 1] -> 
  (-4838400*li4half^2 - 403200*li4half*ln2^4 - 8400*ln2^8 + 
    1209600*ln2^2*s6 - 2419200*ln2*s7a - 4032000*ln2*s7b + 2879100*s8a + 
    8870400*s8b + 4032000*s8c - 2419200*s8d - 806400*ln2*s6*sinf + 
    2419200*s7a*sinf + 806400*s7b*sinf + 806400*s6*sinf^2 - 
    806400*li6half*z2 - 806400*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 
    89600*ln2^6*z2 + 2217600*s6*z2 - 806400*li5half*sinf*z2 - 
    806400*li4half*ln2*sinf*z2 - 26880*ln2^5*sinf*z2 - 
    403200*li4half*sinf^2*z2 - 16800*ln2^4*sinf^2*z2 + 3195360*li4half*z2^2 - 
    118860*ln2^4*z2^2 + 134400*ln2^3*sinf*z2^2 + 100800*ln2^2*sinf^2*z2^2 - 
    1282680*ln2^2*z2^3 + 141120*ln2*sinf*z2^3 + 301320*sinf^2*z2^3 + 
    1240812*z2^4 + 6249600*li5half*z3 - 7056000*li4half*ln2*z3 - 
    346080*ln2^5*z3 + 1411200*li4half*sinf*z3 + 58800*ln2^4*sinf*z3 + 
    2167200*ln2^3*z2*z3 - 705600*ln2^2*sinf*z2*z3 - 352800*ln2*sinf^2*z2*z3 + 
    4000500*ln2*z2^2*z3 - 792540*sinf*z2^2*z3 - 4599000*ln2^2*z3^2 + 
    1008000*ln2*sinf*z3^2 - 214200*sinf^2*z3^2 - 1979775*z2*z3^2 + 
    1041600*ln2^3*z5 - 1562400*ln2*sinf^2*z5 + 3313800*ln2*z2*z5 - 
    548100*sinf*z2*z5 - 8853075*z3*z5 - 31304700*ln2*z7 + 4857300*sinf*z7)/
   403200, H[1, 1, 0, -1, 0, -1, -1, 1, 1] -> 
  (-155232000*li4half^2 - 451584000*li8half + 169344000*li6half*ln2^2 + 
    94080000*li5half*ln2^3 + 15288000*li4half*ln2^4 + 346500*ln2^8 + 
    107352000*ln2^2*s6 - 145701675*s8a - 625968000*s8b - 151200000*s8c + 
    59472000*s8d - 338688000*li7half*sinf + 112896000*li5half*ln2^2*sinf + 
    56448000*li4half*ln2^3*sinf + 1478400*ln2^7*sinf - 
    158256000*ln2*s6*sinf + 158256000*s7a*sinf + 221760000*s7b*sinf - 
    112896000*li6half*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    1019200*ln2^6*sinf^2 - 67032000*s6*sinf^2 - 56448000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 2391200*ln2^6*z2 - 
    37800000*s6*z2 - 112896000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*
     z2 - 9878400*ln2^5*sinf*z2 - 77616000*li4half*sinf^2*z2 - 
    7938000*ln2^4*sinf^2*z2 - 7156800*li4half*z2^2 + 2347800*ln2^4*z2^2 + 
    18816000*ln2^3*sinf*z2^2 + 31399200*ln2^2*sinf^2*z2^2 - 
    27316800*ln2^2*z2^3 - 9424800*ln2*sinf*z2^3 + 32550000*sinf^2*z2^3 - 
    2478048*z2^4 + 262080000*li5half*z3 - 24696000*li4half*ln2*z3 + 
    1726200*ln2^5*z3 + 370440000*li4half*sinf*z3 + 27783000*ln2^4*sinf*z3 + 
    8232000*ln2^3*sinf^2*z3 + 13608000*ln2^3*z2*z3 - 
    130536000*ln2^2*sinf*z2*z3 - 60858000*ln2*sinf^2*z2*z3 + 
    138600000*ln2*z2^2*z3 - 268644600*sinf*z2^2*z3 + 94500*ln2^2*z3^2 + 
    197820000*ln2*sinf*z3^2 + 55014750*sinf^2*z3^2 + 85947750*z2*z3^2 - 
    31899000*ln2^3*z5 - 95697000*ln2^2*sinf*z5 + 521955000*ln2*z2*z5 - 
    619227000*sinf*z2*z5 + 66787875*z3*z5 + 1987980750*sinf*z7)/28224000, 
 H[1, 1, 0, -1, 0, -1, -1, 0, 1] -> 
  (40320000*li4half^2 + 3360000*li4half*ln2^4 + 70000*ln2^8 + 5096700*s8a + 
    16128000*ln2*s6*sinf - 16128000*s7a*sinf - 16128000*s7b*sinf + 
    56448000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    8064000*li4half*ln2^2*z2 - 56000*ln2^6*z2 + 9576000*s6*z2 + 
    32256000*li5half*sinf*z2 + 32256000*li4half*ln2*sinf*z2 + 
    1075200*ln2^5*sinf*z2 + 4032000*li4half*sinf^2*z2 + 
    168000*ln2^4*sinf^2*z2 - 24696000*li4half*z2^2 - 2037000*ln2^4*z2^2 - 
    5376000*ln2^3*sinf*z2^2 - 1008000*ln2^2*sinf^2*z2^2 + 
    6174000*ln2^2*z2^3 - 2822400*ln2*sinf*z2^3 + 20400*sinf^2*z2^3 - 
    6810468*z2^4 - 70560000*li5half*z3 + 588000*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 + 2352000*ln2^3*z2*z3 + 
    21168000*ln2^2*sinf*z2*z3 + 3528000*ln2*sinf^2*z2*z3 - 
    21609000*ln2*z2^2*z3 + 21382200*sinf*z2^2*z3 - 20160000*ln2*sinf*z3^2 - 
    4977000*sinf^2*z3^2 + 4662000*z2*z3^2 - 18553500*ln2*z2*z5 + 
    37894500*sinf*z2*z5 + 46927125*z3*z5 - 157200750*sinf*z7)/4032000, 
 H[1, 1, 0, -1, 0, -1, -1, -1, 1] -> 
  (-141120000*li4half^2 - 1354752000*li8half - 1354752000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 225792000*li5half*ln2^3 - 
    68208000*li4half*ln2^4 - 1421000*ln2^8 + 129024000*ln2^2*s6 - 
    258048000*ln2*s7a - 187488000*ln2*s7b + 103794075*s8a - 650664000*s8b + 
    187488000*s8c - 258048000*s8d - 677376000*li7half*sinf - 
    677376000*li6half*ln2*sinf - 338688000*li5half*ln2^2*sinf - 
    112896000*li4half*ln2^3*sinf - 2688000*ln2^7*sinf - 6048000*ln2*s6*sinf + 
    62496000*s7a*sinf + 6048000*s7b*sinf - 112896000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 - 56448000*li4half*ln2^2*sinf^2 - 
    1568000*ln2^6*sinf^2 + 63504000*s6*sinf^2 + 451584000*li6half*z2 + 
    451584000*li5half*ln2*z2 + 296352000*li4half*ln2^2*z2 + 
    13916000*ln2^6*z2 + 459648000*s6*z2 + 112896000*li5half*sinf*z2 + 
    112896000*li4half*ln2*sinf*z2 + 15052800*ln2^5*sinf*z2 + 
    7056000*ln2^4*sinf^2*z2 + 72576000*li4half*z2^2 - 34020000*ln2^4*z2^2 - 
    18816000*ln2^3*sinf*z2^2 - 69753600*ln2^2*z2^3 + 1058400*ln2*sinf*z2^3 + 
    38169600*sinf^2*z2^3 + 88519152*z2^4 + 262080000*li5half*z3 - 
    500976000*li4half*ln2*z3 - 32936400*ln2^5*z3 - 28224000*li4half*sinf*z3 - 
    25872000*ln2^4*sinf*z3 - 16464000*ln2^3*sinf^2*z3 + 
    212940000*ln2^3*z2*z3 + 56448000*ln2^2*sinf*z2*z3 + 
    254154600*ln2*z2^2*z3 + 4435200*sinf*z2^2*z3 - 380457000*ln2^2*z3^2 - 
    26397000*ln2*sinf*z3^2 - 20286000*sinf^2*z3^2 - 29925000*z2*z3^2 - 
    45570000*ln2^3*z5 - 123039000*ln2*sinf^2*z5 + 163800000*ln2*z2*z5 + 
    107037000*sinf*z2*z5 - 170249625*z3*z5 - 648041625*ln2*z7 + 
    382528125*sinf*z7)/56448000, H[1, 1, 0, -1, -1, 1, 1, 1, 1] -> 
  (2257920*li4half^2 + 9031680*li8half + 94080*li4half*ln2^4 + 224*ln2^8 + 
    5040000*ln2^2*s6 - 14830515*s8a - 79128000*s8b - 10080000*s8c - 
    7418880*s8d - 20321280*li7half*sinf + 4032*ln2^7*sinf + 
    887040*ln2*s6*sinf - 887040*s7a*sinf - 4273920*s7b*sinf + 
    9031680*li6half*sinf^2 + 12544*ln2^6*sinf^2 + 2257920*s6*sinf^2 - 
    9031680*li6half*z2 - 564480*li4half*ln2^2*z2 - 18816*ln2^6*z2 + 
    21329280*s6*z2 - 84672*ln2^5*sinf*z2 + 564480*li4half*sinf^2*z2 + 
    47040*ln2^4*sinf^2*z2 - 2330496*li4half*z2^2 + 182784*ln2^4*z2^2 + 
    677376*ln2^3*sinf*z2^2 - 790272*ln2^2*sinf^2*z2^2 + 516096*ln2^2*z2^3 - 
    2441376*ln2*sinf*z2^3 - 1330560*sinf^2*z2^3 + 609120*z2^4 + 
    14837760*li5half*z3 + 1975680*li4half*ln2*z3 - 57792*ln2^5*z3 - 
    1411200*li4half*sinf*z3 - 58800*ln2^4*sinf*z3 + 742560*ln2^3*z2*z3 + 
    352800*ln2^2*sinf*z2*z3 + 1693440*ln2*sinf^2*z2*z3 + 
    11786040*ln2*z2^2*z3 + 4128768*sinf*z2^2*z3 + 2405340*ln2^2*z3^2 - 
    1108800*ln2*sinf*z3^2 - 1834560*sinf^2*z3^2 + 11678940*z2*z3^2 + 
    3281040*ln2^2*sinf*z5 + 30240000*ln2*z2*z5 + 12660480*sinf*z2*z5 - 
    21954555*z3*z5 - 14788305*sinf*z7)/2257920, 
 H[1, 1, 0, -1, -1, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    101808000*ln2^2*s6 + 300146175*s8a + 1911672000*s8b + 203616000*s8c + 
    191520000*s8d + 225792000*ln2*s6*sinf - 225792000*s7a*sinf + 
    254016000*s7b*sinf - 225792000*li6half*sinf^2 - 313600*ln2^6*sinf^2 - 
    35280000*s6*sinf^2 + 564480000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 
    392000*ln2^6*z2 - 502992000*s6*z2 - 282240000*li5half*sinf*z2 + 
    2352000*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 + 
    5880000*ln2^4*sinf^2*z2 - 6854400*li4half*z2^2 - 6753600*ln2^4*z2^2 - 
    44688000*ln2^3*sinf*z2^2 - 6703200*ln2^2*sinf^2*z2^2 - 
    16027200*ln2^2*z2^3 - 34574400*ln2*sinf*z2^3 + 22982400*sinf^2*z2^3 - 
    60800112*z2^4 - 100800000*li5half*z3 + 105840000*li4half*ln2*z3 + 
    5250000*ln2^5*z3 - 70560000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 - 
    38976000*ln2^3*z2*z3 + 17640000*ln2^2*sinf*z2*z3 - 
    182032200*ln2*z2^2*z3 - 55036800*sinf*z2^2*z3 - 25546500*ln2^2*z3^2 - 
    282240000*ln2*sinf*z3^2 + 19624500*sinf^2*z3^2 - 270900000*z2*z3^2 - 
    464814000*ln2^2*sinf*z5 - 610848000*ln2*z2*z5 - 544194000*sinf*z2*z5 + 
    94476375*z3*z5 + 1391024250*sinf*z7)/56448000, 
 H[1, 1, 0, -1, -1, 1, 1, -1, 1] -> 
  (1749888000*li8half + 846720000*li7half*ln2 + 141120000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 91000*ln2^8 - 
    445536000*ln2^2*s6 + 185472000*ln2*s7a - 223776000*ln2*s7b + 
    994193550*s8a + 5883696000*s8b + 717696000*s8c + 552384000*s8d + 
    1128960000*li7half*sinf + 282240000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf - 67200*ln2^7*sinf + 2016000*ln2*s6*sinf + 
    195552000*s7a*sinf - 256032000*s7b*sinf - 141120000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 - 431200*ln2^6*sinf^2 - 70560000*s6*sinf^2 - 
    56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 548800*ln2^6*z2 - 
    1768032000*s6*z2 - 28224000*li5half*sinf*z2 + 1411200*ln2^5*sinf*z2 + 
    1764000*ln2^4*sinf^2*z2 + 103420800*li4half*z2^2 + 1604400*ln2^4*z2^2 - 
    30340800*ln2^3*sinf*z2^2 + 15523200*ln2^2*sinf^2*z2^2 + 
    118036800*ln2^2*z2^3 + 47829600*ln2*sinf*z2^3 + 15069600*sinf^2*z2^3 - 
    109253232*z2^4 - 1055376000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    11264400*ln2^5*z3 - 100296000*ln2^3*z2*z3 - 5292000*ln2*sinf^2*z2*z3 - 
    742669200*ln2*z2^2*z3 + 71316000*sinf*z2^2*z3 + 93870000*ln2^2*z3^2 + 
    176526000*ln2*sinf*z3^2 + 28003500*sinf^2*z3^2 - 771340500*z2*z3^2 + 
    401016000*ln2^3*z5 + 451143000*ln2^2*sinf*z5 + 13671000*ln2*sinf^2*z5 - 
    1510299000*ln2*z2*z5 + 752535000*sinf*z2*z5 + 1136331000*z3*z5 - 
    1713812625*ln2*z7 - 2219576625*sinf*z7)/56448000, 
 H[1, 1, 0, -1, -1, 1, 0, 1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    57456000*ln2^2*s6 - 27416025*s8a + 376488000*s8b - 114912000*s8c + 
    114912000*s8d - 131040000*ln2*s6*sinf + 131040000*s7a*sinf + 
    215712000*s7b*sinf + 49392000*s6*sinf^2 + 112896000*li6half*z2 + 
    42336000*li4half*ln2^2*z2 + 1920800*ln2^6*z2 - 293328000*s6*z2 - 
    169344000*li5half*sinf*z2 + 1411200*ln2^5*sinf*z2 - 
    56448000*li4half*sinf^2*z2 - 2352000*ln2^4*sinf^2*z2 + 
    134467200*li4half*z2^2 + 1486800*ln2^4*z2^2 - 14112000*ln2^3*sinf*z2^2 + 
    19404000*ln2^2*sinf^2*z2^2 - 46519200*ln2^2*z2^3 - 
    31802400*ln2*sinf*z2^3 + 15254400*sinf^2*z2^3 - 85882584*z2^4 + 
    108864000*li5half*z3 - 211680000*li4half*ln2*z3 - 9727200*ln2^5*z3 + 
    141120000*li4half*sinf*z3 + 5880000*ln2^4*sinf*z3 + 
    53760000*ln2^3*z2*z3 - 35280000*ln2^2*sinf*z2*z3 - 
    111132000*ln2*sinf^2*z2*z3 + 75259800*ln2*z2^2*z3 - 
    247237200*sinf*z2^2*z3 - 54841500*ln2^2*z3^2 + 163800000*ln2*sinf*z3^2 + 
    41233500*sinf^2*z3^2 + 105588000*z2*z3^2 - 82026000*ln2^2*sinf*z5 + 
    344736000*ln2*z2*z5 - 533988000*sinf*z2*z5 - 184739625*z3*z5 + 
    1764874125*sinf*z7)/56448000, H[1, 1, 0, -1, -1, 1, 0, 0, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 - 
    2217600*ln2^2*s6 + 4691925*s8a - 42940800*s8b + 4435200*s8c - 
    4435200*s8d - 17337600*ln2*s6*sinf + 17337600*s7a*sinf - 
    10886400*s7b*sinf - 9878400*s6*sinf^2 + 2822400*li4half*ln2^2*z2 + 
    117600*ln2^6*z2 + 37094400*s6*z2 + 22579200*li5half*sinf*z2 - 
    188160*ln2^5*sinf*z2 - 2822400*li4half*sinf^2*z2 - 
    117600*ln2^4*sinf^2*z2 + 4898880*li4half*z2^2 - 148680*ln2^4*z2^2 + 
    1881600*ln2^3*sinf*z2^2 + 3880800*ln2^2*sinf^2*z2^2 - 428400*ln2^2*z2^3 + 
    7791840*ln2*sinf*z2^3 + 1629600*sinf^2*z2^3 - 1738584*z2^4 - 
    30643200*li5half*z3 - 14112000*li4half*ln2*z3 - 332640*ln2^5*z3 + 
    18345600*li4half*sinf*z3 + 764400*ln2^4*sinf*z3 + 974400*ln2^3*z2*z3 - 
    4586400*ln2^2*sinf*z2*z3 - 8610840*ln2*z2^2*z3 + 466200*sinf*z2^2*z3 - 
    2475900*ln2^2*z3^2 + 21672000*ln2*sinf*z3^2 + 132300*sinf^2*z3^2 - 
    10999800*z2*z3^2 + 27342000*ln2^2*sinf*z5 - 13305600*ln2*z2*z5 + 
    27921600*sinf*z2*z5 + 59205825*z3*z5 - 96761700*sinf*z7)/5644800, 
 H[1, 1, 0, -1, -1, 1, 0, -1, 1] -> 
  (-225792000*li4half^2 - 4515840000*li8half - 2709504000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 280000*ln2^8 + 836640000*ln2^2*s6 - 
    647136000*ln2*s7a + 764064000*ln2*s7b - 1569003975*s8a - 9958536000*s8b - 
    1155168000*s8c - 820512000*s8d - 2709504000*li7half*sinf - 
    1354752000*li6half*ln2*sinf - 225792000*li5half*ln2^2*sinf + 
    537600*ln2^7*sinf - 151200000*ln2*s6*sinf - 624960000*s7a*sinf + 
    927360000*s7b*sinf - 677376000*li6half*sinf^2 - 
    225792000*li5half*ln2*sinf^2 + 940800*ln2^6*sinf^2 - 
    324576000*s6*sinf^2 + 1411200000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    98784000*li4half*ln2^2*z2 + 1999200*ln2^6*z2 + 3334464000*s6*z2 + 
    141120000*li5half*sinf*z2 - 3057600*ln2^5*sinf*z2 - 
    56448000*li4half*sinf^2*z2 - 7056000*ln2^4*sinf^2*z2 + 
    13708800*li4half*z2^2 - 1780800*ln2^4*z2^2 + 11760000*ln2^3*sinf*z2^2 + 
    62092800*ln2^2*sinf^2*z2^2 - 239299200*ln2^2*z2^3 + 
    107755200*ln2*sinf*z2^3 + 109687200*sinf^2*z2^3 + 36001704*z2^4 + 
    1351728000*li5half*z3 - 381024000*li4half*ln2*z3 - 27140400*ln2^5*z3 + 
    141120000*li4half*sinf*z3 + 5880000*ln2^4*sinf*z3 + 
    203784000*ln2^3*z2*z3 - 35280000*ln2^2*sinf*z2*z3 + 
    1054531800*ln2*z2^2*z3 - 316890000*sinf*z2^2*z3 - 516379500*ln2^2*z3^2 - 
    490140000*ln2*sinf*z3^2 + 120613500*sinf^2*z3^2 + 971995500*z2*z3^2 - 
    1344315000*ln2^3*z5 - 1435455000*ln2^2*sinf*z5 + 68355000*ln2*sinf^2*z5 + 
    1040256000*ln2*z2*z5 - 2789829000*sinf*z2*z5 - 859438125*z3*z5 + 
    5891563125*ln2*z7 + 6863346000*sinf*z7)/56448000, 
 H[1, 1, 0, -1, -1, 1, -1, 1, 1] -> (36288000*li4half^2 - 153216000*li8half - 
    8064000*li6half*ln2^2 - 10752000*li5half*ln2^3 + 336000*li4half*ln2^4 + 
    25600*ln2^8 - 8064000*ln2^2*s6 - 7207200*s8a - 140112000*s8b + 
    12096000*s8c - 42336000*s8d + 169344000*li7half*sinf - 
    16128000*li5half*ln2^2*sinf - 8064000*li4half*ln2^3*sinf - 
    235200*ln2^7*sinf - 43200000*ln2*s6*sinf + 43200000*s7a*sinf - 
    7200000*s7b*sinf - 8064000*li6half*sinf^2 - 6048000*li4half*ln2^2*
     sinf^2 - 263200*ln2^6*sinf^2 + 9072000*s6*sinf^2 + 16128000*li6half*z2 + 
    32256000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 - 28000*ln2^6*z2 + 
    92736000*s6*z2 + 16128000*li5half*sinf*z2 + 24192000*li4half*ln2*sinf*
     z2 + 2251200*ln2^5*sinf*z2 - 6048000*li4half*sinf^2*z2 - 
    336000*ln2^4*sinf^2*z2 - 31248000*li4half*z2^2 - 2990400*ln2^4*z2^2 - 
    3696000*ln2^3*sinf*z2^2 + 2772000*ln2^2*sinf^2*z2^2 + 
    12801600*ln2^2*z2^3 + 13874400*ln2*sinf*z2^3 + 3002400*sinf^2*z2^3 + 
    24717168*z2^4 + 28224000*li5half*z3 + 2016000*li4half*ln2*z3 - 
    92400*ln2^5*z3 + 6048000*li4half*sinf*z3 + 252000*ln2^4*sinf*z3 + 
    1848000*ln2^3*z2*z3 - 1512000*ln2^2*sinf*z2*z3 - 
    17388000*ln2*sinf^2*z2*z3 - 12448800*ln2*z2^2*z3 - 
    21214800*sinf*z2^2*z3 - 10426500*ln2^2*z3^2 + 54000000*ln2*sinf*z3^2 + 
    6079500*sinf^2*z3^2 + 3339000*z2*z3^2 + 14322000*ln2^3*z5 + 
    70308000*ln2^2*sinf*z5 - 79254000*ln2*z2*z5 + 1242000*sinf*z2*z5 + 
    1543500*z3*z5 - 93214125*sinf*z7)/8064000, 
 H[1, 1, 0, -1, -1, 1, -1, 0, 1] -> 
  (-338688000*li4half^2 - 28224000*li4half*ln2^4 - 588000*ln2^8 + 
    273168000*ln2^2*s6 - 524851425*s8a - 2696904000*s8b - 546336000*s8c - 
    46368000*s8d - 308448000*ln2*s6*sinf + 308448000*s7a*sinf - 
    157248000*s7b*sinf + 338688000*li6half*sinf^2 + 470400*ln2^6*sinf^2 + 
    56448000*s6*sinf^2 - 1072512000*li6half*z2 - 338688000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 3684800*ln2^6*z2 + 64512000*s6*z2 - 
    169344000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*z2 - 
    9172800*ln2^5*sinf*z2 - 84672000*li4half*sinf^2*z2 - 
    10584000*ln2^4*sinf^2*z2 + 195350400*li4half*z2^2 + 9315600*ln2^4*z2^2 + 
    81144000*ln2^3*sinf*z2^2 + 2116800*ln2^2*sinf^2*z2^2 - 
    86184000*ln2^2*z2^3 - 13910400*ln2*sinf*z2^3 - 9021600*sinf^2*z2^3 - 
    24901848*z2^4 + 516096000*li5half*z3 - 204624000*li4half*ln2*z3 - 
    12826800*ln2^5*z3 + 381024000*li4half*sinf*z3 + 15876000*ln2^4*sinf*z3 + 
    98280000*ln2^3*z2*z3 - 95256000*ln2^2*sinf*z2*z3 + 
    561166200*ln2*z2^2*z3 - 30466800*sinf*z2^2*z3 + 52132500*ln2^2*z3^2 + 
    385560000*ln2*sinf*z3^2 - 78498000*sinf^2*z3^2 + 657153000*z2*z3^2 + 
    451143000*ln2^2*sinf*z5 + 2090151000*ln2*z2*z5 + 847350000*sinf*z2*z5 - 
    640465875*z3*z5 - 1166193000*sinf*z7)/56448000, 
 H[1, 1, 0, -1, -1, 1, -1, -1, 1] -> 
  (-50803200*li4half^2 - 180633600*li8half - 214502400*li7half*ln2 - 
    39513600*li6half*ln2^2 + 9408000*li5half*ln2^3 - 470400*li4half*ln2^4 - 
    26600*ln2^8 + 68947200*ln2^2*s6 - 51609600*ln2*s7a + 49996800*ln2*s7b - 
    76461525*s8a - 531720000*s8b - 71366400*s8c - 35884800*s8d - 
    406425600*li7half*sinf - 101606400*li6half*ln2*sinf + 
    5644800*li5half*ln2^2*sinf + 11289600*li4half*ln2^3*sinf + 
    362880*ln2^7*sinf + 20563200*ln2*s6*sinf - 62899200*s7a*sinf + 
    114912000*s7b*sinf - 50803200*li6half*sinf^2 - 
    16934400*li5half*ln2*sinf^2 + 8467200*li4half*ln2^2*sinf^2 + 
    423360*ln2^6*sinf^2 - 21168000*s6*sinf^2 + 101606400*li6half*z2 + 
    11289600*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 62720*ln2^6*z2 + 
    167731200*s6*z2 + 16934400*li5half*sinf*z2 - 16934400*li4half*ln2*sinf*
     z2 - 2775360*ln2^5*sinf*z2 - 16934400*li4half*sinf^2*z2 - 
    1058400*ln2^4*sinf^2*z2 + 30078720*li4half*z2^2 + 3464160*ln2^4*z2^2 + 
    4515840*ln2^3*sinf*z2^2 + 7408800*ln2^2*sinf^2*z2^2 - 
    30834720*ln2^2*z2^3 + 816480*ln2*sinf*z2^3 + 13870080*sinf^2*z2^3 - 
    21509064*z2^4 + 47779200*li5half*z3 - 57859200*li4half*ln2*z3 - 
    2891280*ln2^5*z3 + 46569600*li4half*sinf*z3 + 1940400*ln2^4*sinf*z3 + 
    18446400*ln2^3*z2*z3 - 11642400*ln2^2*sinf*z2*z3 + 63304920*ln2*z2^2*z3 - 
    50500800*sinf*z2^2*z3 - 47287800*ln2^2*z3^2 - 62748000*ln2*sinf*z3^2 + 
    7938000*sinf^2*z3^2 + 56655900*z2*z3^2 - 126684600*ln2^3*z5 - 
    226938600*ln2^2*sinf*z5 - 24607800*ln2*sinf^2*z5 + 143350200*ln2*z2*z5 - 
    318502800*sinf*z2*z5 - 26609625*z3*z5 + 374421600*ln2*z7 + 
    891394875*sinf*z7)/11289600, H[1, 1, 0, -1, -1, 0, 1, 1, 1] -> 
  (-40320*li4half^2 - 3360*li4half*ln2^4 - 70*ln2^8 + 
    20160*li4half*ln2^2*z2 + 840*ln2^6*z2 + 10080*li4half*z2^2 - 
    2100*ln2^4*z2^2 - 2520*ln2^2*z2^3 - 72*sinf^2*z2^3 - 558*z2^4 + 
    80640*li5half*z3 + 10080*li4half*ln2*z3 - 252*ln2^5*z3 + 
    4200*ln2^3*z2*z3 + 8820*ln2*z2^2*z3 - 756*sinf*z2^2*z3 + 
    4410*ln2^2*z3^2 + 315*sinf^2*z3^2 - 315*z2*z3^2 - 63000*z3*z5 + 
    1890*sinf*z7)/80640, H[1, 1, 0, -1, -1, 0, 1, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 + 51975*s8a - 
    1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 1285200*li4half*z2^2 + 
    72450*ln2^4*z2^2 + 321300*ln2^2*z2^3 - 102900*sinf^2*z2^3 + 161391*z2^4 - 
    2016000*li5half*z3 + 1512000*li4half*ln2*z3 + 79800*ln2^5*z3 - 
    546000*ln2^3*z2*z3 - 1124550*ln2*z2^2*z3 - 381150*sinf*z2^2*z3 + 
    661500*ln2^2*z3^2 + 283500*sinf^2*z3^2 - 204750*z2*z3^2 - 
    630000*sinf*z2*z5 + 2464875*z3*z5 + 2449125*sinf*z7)/1008000, 
 H[1, 1, 0, -1, -1, 0, 1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    42336000*ln2^2*s6 + 9072000*ln2*s7a - 12096000*ln2*s7b + 49310100*s8a + 
    192024000*s8b + 66528000*s8c - 24192000*s8d + 11088000*ln2*s6*sinf - 
    11088000*s7a*sinf - 32256000*s7b*sinf + 14112000*s6*sinf^2 + 
    42336000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 
    13104000*s6*z2 + 28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 - 
    86688000*li4half*z2^2 - 3612000*ln2^4*z2^2 - 7056000*ln2^2*sinf^2*z2^2 + 
    26359200*ln2^2*z2^3 - 20764800*ln2*sinf*z2^3 - 8618400*sinf^2*z2^3 + 
    36789696*z2^4 + 20160000*li5half*z3 + 144648000*li4half*ln2*z3 + 
    5859000*ln2^5*z3 - 70560000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 - 
    15960000*ln2^3*z2*z3 + 17640000*ln2^2*sinf*z2*z3 - 73206000*ln2*z2^2*z3 + 
    32293800*sinf*z2^2*z3 + 22050000*ln2^2*z3^2 - 13860000*ln2*sinf*z3^2 - 
    3858750*sinf^2*z3^2 - 49344750*z2*z3^2 + 27342000*ln2^3*z5 + 
    41013000*ln2^2*sinf*z5 + 20506500*ln2*sinf^2*z5 - 237478500*ln2*z2*z5 + 
    74907000*sinf*z2*z5 - 9347625*z3*z5 - 54054000*ln2*z7 - 
    131355000*sinf*z7)/28224000, H[1, 1, 0, -1, -1, 0, 0, 1, 1] -> 
  (-240975*s8a + 2016000*ln2*s6*sinf - 2016000*s7a*sinf - 2016000*s7b*sinf + 
    1008000*li4half*sinf^2*z2 + 42000*ln2^4*sinf^2*z2 + 840000*li4half*z2^2 + 
    35000*ln2^4*z2^2 - 252000*ln2^2*sinf^2*z2^2 - 210000*ln2^2*z2^3 - 
    352800*ln2*sinf*z2^3 - 238800*sinf^2*z2^3 + 20484*z2^4 + 
    672000*li5half*z3 + 672000*li4half*ln2*z3 + 22400*ln2^5*z3 - 
    3528000*li4half*sinf*z3 - 147000*ln2^4*sinf*z3 - 112000*ln2^3*z2*z3 + 
    882000*ln2^2*sinf*z2*z3 + 882000*ln2*sinf^2*z2*z3 + 735000*ln2*z2^2*z3 + 
    2956800*sinf*z2^2*z3 + 294000*ln2^2*z3^2 - 2520000*ln2*sinf*z3^2 - 
    472500*sinf^2*z3^2 + 36750*z2*z3^2 + 6342000*sinf*z2*z5 - 2569875*z3*z5 - 
    16545375*sinf*z7)/672000, H[1, 1, 0, -1, -1, 0, 0, 0, 1] -> 
  (-25425*s8a - 33600*li4half*z2^2 - 1400*ln2^4*z2^2 + 8400*ln2^2*z2^3 - 
    18400*sinf^2*z2^3 + 12972*z2^4 - 29400*ln2*z2^2*z3 - 45600*sinf*z2^2*z3 + 
    36000*sinf^2*z3^2 - 30000*z2*z3^2 - 138000*sinf*z2*z5 + 70875*z3*z5 + 
    441000*sinf*z7)/96000, H[1, 1, 0, -1, -1, 0, 0, -1, 1] -> 
  (-168000*ln2^2*s6 + 336000*ln2*s7a + 1008000*ln2*s7b - 1047900*s8a - 
    3360000*s8b - 1008000*s8c + 336000*s8d - 336000*ln2*s6*sinf - 
    336000*s7a*sinf + 336000*s7b*sinf - 336000*s6*sinf^2 + 336000*s6*z2 - 
    16800*li4half*z2^2 - 700*ln2^4*z2^2 + 71400*ln2^2*z2^3 + 
    58800*ln2*sinf*z2^3 - 67800*sinf^2*z2^3 - 220824*z2^4 - 
    168000*li5half*z3 + 504000*li4half*ln2*z3 + 22400*ln2^5*z3 - 
    140000*ln2^3*z2*z3 - 67200*ln2*z2^2*z3 - 75600*sinf*z2^2*z3 + 
    430500*ln2^2*z3^2 - 94500*ln2*sinf*z3^2 + 120750*sinf^2*z3^2 + 
    569625*z2*z3^2 - 434000*ln2^3*z5 + 651000*ln2*sinf^2*z5 - 
    1260000*ln2*z2*z5 - 1449000*sinf*z2*z5 + 304500*z3*z5 + 7688625*ln2*z7 + 
    2147250*sinf*z7)/672000, H[1, 1, 0, -1, -1, 0, -1, 1, 1] -> 
  (-70560000*li4half^2 - 5880000*li4half*ln2^4 - 122500*ln2^8 + 
    37800000*ln2^2*s6 - 46583775*s8a - 111888000*s8b - 54432000*s8c + 
    33264000*s8d + 115920000*ln2*s6*sinf - 115920000*s7a*sinf - 
    94752000*s7b*sinf - 24696000*s6*sinf^2 - 42336000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 + 58800*ln2^6*z2 - 41832000*s6*z2 + 
    35280000*li4half*sinf^2*z2 + 1470000*ln2^4*sinf^2*z2 + 
    111787200*li4half*z2^2 + 7303800*ln2^4*z2^2 - 8820000*ln2^2*sinf^2*z2^2 - 
    30819600*ln2^2*z2^3 - 1461600*ln2*sinf*z2^3 - 8870400*sinf^2*z2^3 - 
    33408504*z2^4 - 20664000*li5half*z3 - 52920000*li4half*ln2*z3 - 
    2032800*ln2^5*z3 - 151704000*li4half*sinf*z3 - 6321000*ln2^4*sinf*z3 - 
    7014000*ln2^3*z2*z3 + 37926000*ln2^2*sinf*z2*z3 + 
    55566000*ln2*sinf^2*z2*z3 + 83676600*ln2*z2^2*z3 + 
    152926200*sinf*z2^2*z3 + 23751000*ln2^2*z3^2 - 144900000*ln2*sinf*z3^2 - 
    21719250*sinf^2*z3^2 + 33437250*z2*z3^2 - 13671000*ln2^3*z5 - 
    41013000*ln2^2*sinf*z5 + 237384000*ln2*z2*z5 + 298179000*sinf*z2*z5 - 
    74788875*z3*z5 - 861060375*sinf*z7)/28224000, 
 H[1, 1, 0, -1, -1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 2564100*s8a - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 4536000*s6*z2 - 
    5544000*li4half*z2^2 + 273000*ln2^4*z2^2 + 1386000*ln2^2*z2^3 - 
    1532400*sinf^2*z2^3 + 2122404*z2^4 - 6048000*li5half*z3 + 
    8064000*li4half*ln2*z3 + 386400*ln2^5*z3 - 2520000*ln2^3*z2*z3 - 
    4851000*ln2*z2^2*z3 - 5531400*sinf*z2^2*z3 + 3528000*ln2^2*z3^2 + 
    4599000*sinf^2*z3^2 - 4851000*z2*z3^2 - 8788500*ln2*z2*z5 - 
    14080500*sinf*z2*z5 + 12576375*z3*z5 + 42210000*sinf*z7)/4032000, 
 H[1, 1, 0, -1, -1, 0, -1, -1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 + 504000*ln2^2*s6 - 
    1008000*ln2*s7a + 6048000*ln2*s7b - 8218350*s8a - 29736000*s8b - 
    6048000*s8c - 1008000*s8d - 3456000*ln2*s6*sinf - 2592000*s7a*sinf + 
    3456000*s7b*sinf - 2520000*s6*sinf^2 - 1008000*li4half*ln2^2*z2 - 
    42000*ln2^6*z2 + 11088000*s6*z2 - 1814400*li4half*z2^2 + 
    50400*ln2^4*z2^2 + 252000*ln2^2*z2^3 + 604800*ln2*sinf*z2^3 - 
    537600*sinf^2*z2^3 + 459984*z2^4 + 2184000*li5half*z3 + 
    3696000*li4half*ln2*z3 + 135800*ln2^5*z3 - 742000*ln2^3*z2*z3 + 
    894600*ln2*z2^2*z3 - 1006200*sinf*z2^2*z3 + 987000*ln2^2*z3^2 - 
    972000*ln2*sinf*z3^2 + 950250*sinf^2*z3^2 + 3554250*z2*z3^2 - 
    4557000*ln2^3*z5 + 4882500*ln2*sinf^2*z5 - 10584000*ln2*z2*z5 - 
    15223500*sinf*z2*z5 - 4620000*z3*z5 + 38083500*ln2*z7 + 24476625*sinf*z7)/
   1344000, H[1, 1, 0, -1, -1, -1, 1, 1, 1] -> 
  (3024000*li4half^2 + 10080000*li8half + 84000*li4half*ln2^4 - 1500*ln2^8 + 
    4536000*ln2^2*s6 - 11272275*s8a - 33516000*s8b - 9072000*s8c + 
    504000*s8d - 20160000*li7half*sinf - 336000*li4half*ln2^3*sinf - 
    10000*ln2^7*sinf + 6408000*ln2*s6*sinf - 6408000*s7a*sinf - 
    2880000*s7b*sinf + 6048000*li6half*sinf^2 + 8400*ln2^6*sinf^2 + 
    1512000*s6*sinf^2 - 6048000*li6half*z2 + 26600*ln2^6*z2 + 1764000*s6*z2 + 
    1008000*li4half*ln2*sinf*z2 + 42000*ln2^5*sinf*z2 + 
    1008000*li4half*sinf^2*z2 + 105000*ln2^4*sinf^2*z2 + 
    1612800*li4half*z2^2 + 86100*ln2^4*z2^2 - 25200*ln2^3*sinf*z2^2 - 
    781200*ln2^2*sinf^2*z2^2 - 2026800*ln2^2*z2^3 - 3081600*ln2*sinf*z2^3 - 
    1004400*sinf^2*z2^3 - 647874*z2^4 - 1008000*li5half*z3 - 
    252000*li4half*ln2*z3 - 75600*ln2^5*z3 - 5796000*li4half*sinf*z3 - 
    462000*ln2^4*sinf*z3 - 147000*ln2^3*sinf^2*z3 + 1008000*ln2^3*z2*z3 + 
    2772000*ln2^2*sinf*z2*z3 + 1953000*ln2*sinf^2*z2*z3 + 
    9544500*ln2*z2^2*z3 + 6819300*sinf*z2^2*z3 + 2047500*ln2^2*z3^2 - 
    8010000*ln2*sinf*z3^2 - 1779750*sinf^2*z3^2 + 8851500*z2*z3^2 - 
    3417750*ln2^2*sinf*z5 + 27216000*ln2*z2*z5 + 8349750*sinf*z2*z5 - 
    17348625*z3*z5 - 13909500*sinf*z7)/2016000, 
 H[1, 1, 0, -1, -1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    132048000*ln2^2*s6 + 271100025*s8a + 939960000*s8b + 264096000*s8c - 
    66528000*s8d + 50400000*ln2*s6*sinf - 50400000*s7a*sinf + 
    133056000*s7b*sinf - 112896000*li6half*sinf^2 - 156800*ln2^6*sinf^2 + 
    14112000*s6*sinf^2 + 338688000*li6half*z2 - 70560000*li4half*ln2^2*z2 - 
    2469600*ln2^6*z2 + 76608000*s6*z2 - 56448000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 705600*ln2^5*sinf*z2 + 
    42336000*li4half*sinf^2*z2 + 4116000*ln2^4*sinf^2*z2 - 
    105033600*li4half*z2^2 + 2679600*ln2^4*z2^2 - 8232000*ln2^3*sinf*z2^2 - 
    7761600*ln2^2*sinf^2*z2^2 + 26913600*ln2^2*z2^3 + 2923200*ln2*sinf*z2^3 - 
    2016000*sinf^2*z2^3 + 24346944*z2^4 + 189504000*li5half*z3 + 
    239904000*li4half*ln2*z3 + 8416800*ln2^5*z3 - 49392000*li4half*sinf*z3 - 
    2058000*ln2^4*sinf*z3 - 68880000*ln2^3*z2*z3 - 
    37044000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 - 
    214363800*ln2*z2^2*z3 - 84646800*sinf*z2^2*z3 + 2992500*ln2^2*z3^2 - 
    63000000*ln2*sinf*z3^2 + 28444500*sinf^2*z3^2 - 305235000*z2*z3^2 - 
    177723000*ln2^2*sinf*z5 - 792288000*ln2*z2*z5 - 449505000*sinf*z2*z5 + 
    108509625*z3*z5 + 1095018750*sinf*z7)/56448000, 
 H[1, 1, 0, -1, -1, -1, 1, -1, 1] -> 
  (197568000*li4half^2 + 508032000*li7half*ln2 + 197568000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 477400*ln2^8 - 
    132048000*ln2^2*s6 + 129024000*ln2*s7a - 26208000*ln2*s7b + 
    98620200*s8a + 384048000*s8b + 133056000*s8c - 48384000*s8d + 
    1298304000*li7half*sinf + 395136000*li6half*ln2*sinf + 
    84672000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf - 
    22400*ln2^7*sinf - 24192000*ln2*s6*sinf + 151200000*s7a*sinf - 
    286272000*s7b*sinf + 84672000*li6half*sinf^2 + 
    84672000*li5half*ln2*sinf^2 - 588000*ln2^6*sinf^2 + 56448000*s6*sinf^2 - 
    282240000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 5684000*ln2^6*z2 - 65520000*s6*z2 - 
    84672000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 + 
    1411200*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    588000*ln2^4*sinf^2*z2 - 174787200*li4half*z2^2 + 4359600*ln2^4*z2^2 + 
    4704000*ln2^3*sinf*z2^2 - 11995200*ln2^2*sinf^2*z2^2 + 
    95810400*ln2^2*z2^3 + 23284800*ln2*sinf*z2^3 - 32256000*sinf^2*z2^3 + 
    109224792*z2^4 + 244944000*li5half*z3 + 465696000*li4half*ln2*z3 + 
    19420800*ln2^5*z3 - 127008000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 + 
    4116000*ln2^3*sinf^2*z3 - 124824000*ln2^3*z2*z3 - 
    5292000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 - 
    200692800*ln2*z2^2*z3 + 111409200*sinf*z2^2*z3 + 186669000*ln2^2*z3^2 + 
    190764000*ln2*sinf*z3^2 - 14994000*sinf^2*z3^2 - 92295000*z2*z3^2 + 
    159495000*ln2^3*z5 + 451143000*ln2^2*sinf*z5 + 27342000*ln2*sinf^2*z5 - 
    372015000*ln2*z2*z5 + 827253000*sinf*z2*z5 - 86719500*z3*z5 - 
    269427375*ln2*z7 - 2431059750*sinf*z7)/56448000, 
 H[1, 1, 0, -1, -1, -1, 0, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 915075*s8a - 
    6048000*ln2*s6*sinf + 6048000*s7a*sinf + 6048000*s7b*sinf + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 2016000*li5half*sinf*z2 - 
    2016000*li4half*ln2*sinf*z2 - 67200*ln2^5*sinf*z2 - 
    2520000*li4half*sinf^2*z2 - 105000*ln2^4*sinf^2*z2 - 
    453600*li4half*z2^2 - 270900*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 + 
    630000*ln2^2*sinf^2*z2^2 + 113400*ln2^2*z2^3 + 1058400*ln2*sinf*z2^3 + 
    677400*sinf^2*z2^3 - 402018*z2^4 + 4032000*li5half*z3 - 
    3024000*li4half*ln2*z3 - 159600*ln2^5*z3 + 10584000*li4half*sinf*z3 + 
    441000*ln2^4*sinf*z3 + 1092000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 - 
    2205000*ln2*sinf^2*z2*z3 - 396900*ln2*z2^2*z3 - 7906500*sinf*z2^2*z3 - 
    1323000*ln2^2*z3^2 + 7560000*ln2*sinf*z3^2 + 952875*sinf^2*z3^2 - 
    952875*z2*z3^2 - 17514000*sinf*z2*z5 + 4071375*z3*z5 + 47257875*sinf*z7)/
   2016000, H[1, 1, 0, -1, -1, -1, 0, 0, 1] -> 
  (-177975*s8a + 672000*ln2*s6*sinf - 672000*s7a*sinf - 672000*s7b*sinf + 
    436800*li4half*z2^2 + 18200*ln2^4*z2^2 - 109200*ln2^2*z2^3 - 
    117600*ln2*sinf*z2^3 + 131200*sinf^2*z2^3 + 71364*z2^4 - 
    672000*li5half*z3 - 672000*li4half*ln2*z3 - 22400*ln2^5*z3 - 
    1176000*li4half*sinf*z3 - 49000*ln2^4*sinf*z3 + 112000*ln2^3*z2*z3 + 
    294000*ln2^2*sinf*z2*z3 + 382200*ln2*z2^2*z3 + 1293600*sinf*z2^2*z3 - 
    294000*ln2^2*z3^2 - 840000*ln2*sinf*z3^2 - 383250*sinf^2*z3^2 + 
    777000*z2*z3^2 + 3213000*sinf*z2*z5 - 2044875*z3*z5 - 8444625*sinf*z7)/
   672000, H[1, 1, 0, -1, -1, -1, 0, -1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    19152000*ln2^2*s6 - 38304000*ln2*s7a - 179424000*ln2*s7b + 
    180165825*s8a + 657720000*s8b + 179424000*s8c - 38304000*s8d + 
    10080000*ln2*s6*sinf + 131040000*s7a*sinf - 10080000*s7b*sinf + 
    70560000*s6*sinf^2 + 112896000*li4half*ln2^2*z2 + 4704000*ln2^6*z2 - 
    135072000*s6*z2 - 28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 - 940800*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    588000*ln2^4*sinf^2*z2 + 165916800*li4half*z2^2 - 7198800*ln2^4*z2^2 + 
    4704000*ln2^3*sinf*z2^2 + 3528000*ln2^2*sinf^2*z2^2 - 
    49140000*ln2^2*z2^3 - 1764000*ln2*sinf*z2^3 + 20697600*sinf^2*z2^3 + 
    10930632*z2^4 + 111888000*li5half*z3 - 359856000*li4half*ln2*z3 - 
    15926400*ln2^5*z3 + 49392000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 + 
    99288000*ln2^3*z2*z3 - 24696000*ln2^2*sinf*z2*z3 - 
    12348000*ln2*sinf^2*z2*z3 + 134631000*ln2*z2^2*z3 - 
    7156800*sinf*z2^2*z3 - 181377000*ln2^2*z3^2 + 46053000*ln2*sinf*z3^2 - 
    26901000*sinf^2*z3^2 - 75253500*z2*z3^2 + 91140000*ln2^3*z5 - 
    136710000*ln2*sinf^2*z5 + 266616000*ln2*z2*z5 + 174258000*sinf*z2*z5 - 
    217609875*z3*z5 - 1294563375*ln2*z7 - 156893625*sinf*z7)/56448000, 
 H[1, 1, 0, -1, -1, -1, -1, 1, 1] -> 
  (-70560000*li4half^2 + 28224000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    4900*ln2^8 + 34272000*ln2^2*s6 - 46583775*s8a - 111888000*s8b - 
    54432000*s8c + 33264000*s8d - 169344000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf + 14112000*li4half*ln2^3*sinf + 
    386400*ln2^7*sinf + 42336000*s7b*sinf + 7056000*li4half*ln2^2*sinf^2 + 
    294000*ln2^6*sinf^2 - 14112000*s6*sinf^2 - 28224000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 58800*ln2^6*z2 - 48888000*s6*z2 - 
    28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    2822400*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    1470000*ln2^4*sinf^2*z2 + 39110400*li4half*z2^2 + 2305800*ln2^4*z2^2 + 
    3998400*ln2^3*sinf*z2^2 + 3175200*ln2^2*sinf^2*z2^2 - 
    18597600*ln2^2*z2^3 - 10735200*ln2*sinf*z2^3 + 3225600*sinf^2*z2^3 - 
    18089424*z2^4 + 32256000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1297800*ln2^5*z3 + 63504000*li4half*sinf*z3 + 5733000*ln2^4*sinf*z3 + 
    2058000*ln2^3*sinf^2*z3 + 6804000*ln2^3*z2*z3 - 
    22050000*ln2^2*sinf*z2*z3 + 62067600*ln2*z2^2*z3 - 
    31046400*sinf*z2^2*z3 + 378000*ln2^2*z3^2 + 3748500*sinf^2*z3^2 + 
    32886000*z2*z3^2 - 9114000*ln2^3*z5 - 54684000*ln2^2*sinf*z5 + 
    190638000*ln2*z2*z5 - 112014000*sinf*z2*z5 - 15033375*z3*z5 + 
    398388375*sinf*z7)/28224000, H[1, 1, 0, -1, -1, -1, -1, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 + 118650*s8a + 
    672000*ln2*s6*sinf - 672000*s7a*sinf - 672000*s7b*sinf + 
    2016000*li6half*z2 + 2016000*li5half*ln2*z2 - 14000*ln2^6*z2 + 
    504000*s6*z2 + 1344000*li5half*sinf*z2 + 1344000*li4half*ln2*sinf*z2 + 
    44800*ln2^5*sinf*z2 + 168000*li4half*sinf^2*z2 + 7000*ln2^4*sinf^2*z2 - 
    1276800*li4half*z2^2 - 53200*ln2^4*z2^2 - 224000*ln2^3*sinf*z2^2 - 
    42000*ln2^2*sinf^2*z2^2 + 319200*ln2^2*z2^3 - 117600*ln2*sinf*z2^3 - 
    67200*sinf^2*z2^3 - 149976*z2^4 - 2856000*li5half*z3 + 
    672000*li4half*ln2*z3 + 51800*ln2^5*z3 - 1176000*li4half*sinf*z3 - 
    49000*ln2^4*sinf*z3 - 112000*ln2^3*z2*z3 + 882000*ln2^2*sinf*z2*z3 + 
    147000*ln2*sinf^2*z2*z3 - 1117200*ln2*z2^2*z3 + 613200*sinf*z2^2*z3 + 
    294000*ln2^2*z3^2 - 840000*ln2*sinf*z3^2 + 2625*sinf^2*z3^2 - 
    7875*z2*z3^2 - 976500*ln2*z2*z5 + 976500*sinf*z2*z5 + 2323125*z3*z5 - 
    4635750*sinf*z7)/672000, H[1, 1, 0, -1, -1, -1, -1, -1, 1] -> 
  (-403200*li4half^2 - 4032000*li8half - 4032000*li7half*ln2 - 
    2016000*li6half*ln2^2 - 672000*li5half*ln2^3 - 201600*li4half*ln2^4 - 
    4200*ln2^8 + 403200*ln2^2*s6 - 806400*ln2*s7a - 422100*s8a - 
    4435200*s8b - 806400*s8d - 2419200*li7half*sinf - 
    2419200*li6half*ln2*sinf - 1209600*li5half*ln2^2*sinf - 
    403200*li4half*ln2^3*sinf - 9600*ln2^7*sinf - 403200*ln2*s6*sinf + 
    403200*s7b*sinf - 403200*li6half*sinf^2 - 403200*li5half*ln2*sinf^2 - 
    201600*li4half*ln2^2*sinf^2 - 5600*ln2^6*sinf^2 + 1612800*li6half*z2 + 
    1612800*li5half*ln2*z2 + 1008000*li4half*ln2^2*z2 + 44800*ln2^6*z2 + 
    2217600*s6*z2 + 403200*li5half*sinf*z2 + 403200*li4half*ln2*sinf*z2 + 
    53760*ln2^5*sinf*z2 + 25200*ln2^4*sinf^2*z2 + 201600*li4half*z2^2 - 
    117600*ln2^4*z2^2 - 67200*ln2^3*sinf*z2^2 - 211680*ln2^2*z2^3 + 
    70560*ln2*sinf*z2^3 + 92160*sinf^2*z2^3 + 223344*z2^4 + 
    705600*li5half*z3 - 1612800*li4half*ln2*z3 - 102480*ln2^5*z3 - 
    100800*li4half*sinf*z3 - 92400*ln2^4*sinf*z3 - 58800*ln2^3*sinf^2*z3 + 
    697200*ln2^3*z2*z3 + 201600*ln2^2*sinf*z2*z3 + 922320*ln2*z2^2*z3 - 
    60480*sinf*z2^2*z3 - 1209600*ln2^2*z3^2 - 201600*ln2*sinf*z3^2 + 
    302400*z2*z3^2 - 520800*ln2^3*z5 - 415800*ln2*z2*z5 - 
    1197000*sinf*z2*z5 - 929250*z3*z5 + 1587600*ln2*z7 + 3844575*sinf*z7)/
   806400, H[1, 1, -1, 1, 1, 1, 1, 1, 1] -> 
  (42*li8half - 12*li7half*sinf + li6half*sinf^2 - li6half*z2)/2, 
 H[1, 1, -1, 1, 1, 1, 1, 0, 1] -> 
  (-1411200000*li8half - 9408000*li5half*ln2^3 + 43400*ln2^8 - 
    47376000*ln2^2*s6 + 103056975*s8a + 36792000*s8b + 94752000*s8c - 
    94752000*s8d + 508032000*li7half*sinf - 28224000*li5half*ln2^2*sinf + 
    134400*ln2^7*sinf - 54432000*ln2*s6*sinf + 54432000*s7a*sinf + 
    40320000*s7b*sinf - 84672000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 + 117600*ln2^6*sinf^2 - 14112000*s6*sinf^2 + 
    366912000*li6half*z2 + 56448000*li5half*ln2*z2 - 744800*ln2^6*z2 + 
    203616000*s6*z2 - 28224000*li5half*sinf*z2 - 1646400*ln2^5*sinf*z2 - 
    1176000*ln2^4*sinf^2*z2 - 18950400*li4half*z2^2 + 974400*ln2^4*z2^2 - 
    235200*ln2^3*sinf*z2^2 - 705600*ln2^2*sinf^2*z2^2 + 16783200*ln2^2*z2^3 + 
    26409600*ln2*sinf*z2^3 + 5644800*sinf^2*z2^3 + 21773016*z2^4 + 
    196560000*li5half*z3 + 1184400*ln2^5*z3 + 7056000*ln2^4*sinf*z3 + 
    4704000*ln2^3*sinf^2*z3 - 16548000*ln2^3*z2*z3 - 
    42336000*ln2^2*sinf*z2*z3 - 14112000*ln2*sinf^2*z2*z3 - 
    90707400*ln2*z2^2*z3 - 75096000*sinf*z2^2*z3 - 13324500*ln2^2*z3^2 + 
    68040000*ln2*sinf*z3^2 + 17640000*sinf^2*z3^2 - 78340500*z2*z3^2 + 
    9408000*ln2^3*z5 + 41895000*ln2^2*sinf*z5 + 28224000*ln2*sinf^2*z5 - 
    340704000*ln2*z2*z5 - 146223000*sinf*z2*z5 + 109722375*z3*z5 + 
    307077750*sinf*z7)/56448000, H[1, 1, -1, 1, 1, 1, 1, -1, 1] -> 
  (-2419200*li4half^2 - 32256000*li8half + 268800*li5half*ln2^3 + 
    2000*ln2^8 - 1008000*ln2^2*s6 + 1901025*s8a - 12600000*s8b + 
    2016000*s8c - 2016000*s8d + 8064000*li7half*sinf + 
    806400*li5half*ln2^2*sinf + 537600*li4half*ln2^3*sinf + 
    16000*ln2^7*sinf - 2016000*ln2*s6*sinf + 2016000*s7a*sinf + 
    2016000*s7b*sinf + 806400*li5half*ln2*sinf^2 + 
    403200*li4half*ln2^2*sinf^2 + 11200*ln2^6*sinf^2 - 
    1612800*li5half*ln2*z2 - 403200*li4half*ln2^2*z2 - 33600*ln2^6*z2 + 
    4032000*s6*z2 - 806400*li5half*sinf*z2 - 1612800*li4half*ln2*sinf*z2 - 
    134400*ln2^5*sinf*z2 - 403200*li4half*sinf^2*z2 - 67200*ln2^4*sinf^2*z2 + 
    134400*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 + 100800*ln2^2*sinf^2*z2^2 - 
    50400*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 + 1030824*z2^4 + 
    5443200*li5half*z3 + 25200*ln2^5*z3 + 2822400*li4half*sinf*z3 + 
    294000*ln2^4*sinf*z3 + 117600*ln2^3*sinf^2*z3 - 369600*ln2^3*z2*z3 - 
    1764000*ln2^2*sinf*z2*z3 - 352800*ln2*sinf^2*z2*z3 - 
    1877400*ln2*z2^2*z3 - 3225600*sinf*z2^2*z3 - 283500*ln2^2*z3^2 + 
    2520000*ln2*sinf*z3^2 + 308700*sinf^2*z3^2 - 1600200*z2*z3^2 - 
    6048000*ln2*z2*z5 - 5922000*sinf*z2*z5 + 12371625*z3*z5 + 
    24192000*ln2*z7 + 13253625*sinf*z7)/1612800, 
 H[1, 1, -1, 1, 1, 1, 0, 1, 1] -> (-42336000*li4half^2 - 141120000*li8half + 
    18816000*li5half*ln2^3 - 86800*ln2^8 + 94752000*ln2^2*s6 - 
    206113950*s8a - 73584000*s8b - 189504000*s8c + 189504000*s8d - 
    112896000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf - 56000*ln2^7*sinf + 68544000*ln2*s6*sinf - 
    68544000*s7a*sinf - 26208000*s7b*sinf + 84672000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 + 7056000*li4half*ln2^2*sinf^2 - 
    58800*ln2^6*sinf^2 + 31752000*s6*sinf^2 + 197568000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 + 1313200*ln2^6*z2 - 
    410760000*s6*z2 - 169344000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 + 1176000*ln2^5*sinf*z2 + 7056000*li4half*sinf^2*z2 + 
    882000*ln2^4*sinf^2*z2 + 64713600*li4half*z2^2 - 478800*ln2^4*z2^2 + 
    3057600*ln2^3*sinf*z2^2 + 1587600*ln2^2*sinf^2*z2^2 - 
    33742800*ln2^2*z2^3 - 35229600*ln2*sinf*z2^3 - 9273600*sinf^2*z2^3 - 
    45562032*z2^4 - 54432000*li5half*z3 - 2368800*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 7350000*ln2^4*sinf*z3 - 
    4704000*ln2^3*sinf^2*z3 + 28392000*ln2^3*z2*z3 + 
    44100000*ln2^2*sinf*z2*z3 + 14112000*ln2*sinf^2*z2*z3 + 
    195526800*ln2*z2^2*z3 + 73684800*sinf*z2^2*z3 + 26649000*ln2^2*z3^2 - 
    85680000*ln2*sinf*z3^2 - 24255000*sinf^2*z3^2 + 145656000*z2*z3^2 - 
    18816000*ln2^3*z5 - 97461000*ln2^2*sinf*z5 - 56448000*ln2*sinf^2*z5 + 
    681408000*ln2*z2*z5 + 132111000*sinf*z2*z5 - 219444750*z3*z5 - 
    187180875*sinf*z7)/28224000, H[1, 1, -1, 1, 1, 1, 0, 0, 1] -> 
  (84672000*li4half^2 - 18816000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    303800*ln2^8 + 82656000*ln2^2*s6 - 263834550*s8a - 2418192000*s8b - 
    165312000*s8c - 342720000*s8d + 225792000*li7half*sinf - 
    56448000*li5half*ln2^2*sinf + 425600*ln2^7*sinf - 92736000*ln2*s6*sinf + 
    92736000*s7a*sinf - 147168000*s7b*sinf - 112896000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 + 313600*ln2^6*sinf^2 - 49392000*s6*sinf^2 - 
    225792000*li6half*z2 + 112896000*li5half*ln2*z2 - 2822400*ln2^6*z2 + 
    1002960000*s6*z2 + 169344000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 - 1646400*ln2^5*sinf*z2 + 
    14112000*li4half*sinf^2*z2 - 1764000*ln2^4*sinf^2*z2 - 
    119347200*li4half*z2^2 + 8904000*ln2^4*z2^2 + 4468800*ln2^3*sinf*z2^2 + 
    3175200*ln2^2*sinf^2*z2^2 + 3780000*ln2^2*z2^3 + 49845600*ln2*sinf*z2^3 + 
    17539200*sinf^2*z2^3 + 79216992*z2^4 + 247968000*li5half*z3 + 
    756000*ln2^5*z3 - 35280000*li4half*sinf*z3 + 5586000*ln2^4*sinf*z3 + 
    4704000*ln2^3*sinf^2*z3 + 20664000*ln2^3*z2*z3 + 
    22932000*ln2^2*sinf*z2*z3 + 130662000*ln2*z2^2*z3 + 
    34372800*sinf*z2^2*z3 + 23247000*ln2^2*z3^2 + 115920000*ln2*sinf*z3^2 + 
    16758000*sinf^2*z3^2 + 260253000*z2*z3^2 + 9702000*ln2^3*z5 + 
    261513000*ln2^2*sinf*z5 + 29106000*ln2*sinf^2*z5 + 437724000*ln2*z2*z5 + 
    412461000*sinf*z2*z5 - 206246250*z3*z5 - 1289334375*sinf*z7)/56448000, 
 H[1, 1, -1, 1, 1, 1, 0, -1, 1] -> (16128000*li4half^2 - 612864000*li8half - 
    8064000*li7half*ln2 + 12096000*li6half*ln2^2 - 5376000*li5half*ln2^3 + 
    336000*li4half*ln2^4 + 34000*ln2^8 + 21312000*ln2^2*s6 + 
    14976000*ln2*s7a - 15264000*ln2*s7b - 126940275*s8a - 770616000*s8b - 
    90720000*s8c - 46368000*s8d + 282240000*li7half*sinf + 
    24192000*li6half*ln2*sinf - 16128000*li5half*ln2^2*sinf - 
    2688000*li4half*ln2^3*sinf - 40320000*ln2*s6*sinf + 22176000*s7a*sinf - 
    52416000*s7b*sinf - 44352000*li6half*sinf^2 - 
    16128000*li5half*ln2*sinf^2 - 2016000*li4half*ln2^2*sinf^2 - 
    11200*ln2^6*sinf^2 - 13104000*s6*sinf^2 + 72576000*li6half*z2 + 
    32256000*li5half*ln2*z2 - 280000*ln2^6*z2 + 183456000*s6*z2 + 
    8064000*li4half*ln2*sinf*z2 + 201600*ln2^5*sinf*z2 + 
    4032000*li4half*sinf^2*z2 + 168000*ln2^4*sinf^2*z2 - 
    14313600*li4half*z2^2 + 5040000*ln2^4*z2^2 + 6652800*ln2^3*sinf*z2^2 + 
    2318400*ln2^2*sinf^2*z2^2 + 20239200*ln2^2*z2^3 + 
    32155200*ln2*sinf*z2^3 + 6674400*sinf^2*z2^3 + 39460896*z2^4 + 
    84672000*li5half*z3 + 7056000*li4half*ln2*z3 - 1016400*ln2^5*z3 - 
    19152000*li4half*sinf*z3 - 2310000*ln2^4*sinf*z3 - 
    1008000*ln2^3*sinf^2*z3 + 12348000*ln2^3*z2*z3 + 
    13860000*ln2^2*sinf*z2*z3 + 3024000*ln2*sinf^2*z2*z3 + 
    100665000*ln2*z2^2*z3 + 29509200*sinf*z2^2*z3 + 31351500*ln2^2*z3^2 + 
    27468000*ln2*sinf*z3^2 + 3370500*sinf^2*z3^2 + 89145000*z2*z3^2 + 
    28161000*ln2^3*z5 + 68859000*ln2^2*sinf*z5 - 3402000*ln2*sinf^2*z5 + 
    324747000*ln2*z2*z5 + 159705000*sinf*z2*z5 - 38280375*z3*z5 - 
    274181625*ln2*z7 - 586923750*sinf*z7)/8064000, 
 H[1, 1, -1, 1, 1, 1, -1, 1, 1] -> (63504000*li4half^2 - 395136000*li8half - 
    9408000*li5half*ln2^3 - 34300*ln2^8 + 44352000*ln2^2*s6 - 149327325*s8a - 
    552384000*s8b - 88704000*s8c - 17136000*s8d + 169344000*li7half*sinf - 
    28224000*li5half*ln2^2*sinf - 14112000*li4half*ln2^3*sinf - 
    369600*ln2^7*sinf + 12096000*ln2*s6*sinf - 12096000*s7a*sinf - 
    82656000*s7b*sinf - 42336000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 - 10584000*li4half*ln2^2*sinf^2 - 
    254800*ln2^6*sinf^2 - 17640000*s6*sinf^2 + 42336000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 10584000*li4half*ln2^2*z2 + 627200*ln2^6*z2 + 
    104832000*s6*z2 + 28224000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*
     z2 + 3057600*ln2^5*sinf*z2 + 10584000*li4half*sinf^2*z2 + 
    1470000*ln2^4*sinf^2*z2 - 14011200*li4half*z2^2 - 3229800*ln2^4*z2^2 - 
    8232000*ln2^3*sinf*z2^2 - 2646000*ln2^2*sinf^2*z2^2 - 
    4561200*ln2^2*z2^3 + 50400*ln2*sinf*z2^3 + 3628800*sinf^2*z2^3 + 
    39345228*z2^4 - 15120000*li5half*z3 - 1108800*ln2^5*z3 - 
    74088000*li4half*sinf*z3 - 6174000*ln2^4*sinf*z3 - 
    2058000*ln2^3*sinf^2*z3 + 13146000*ln2^3*z2*z3 + 
    37044000*ln2^2*sinf*z2*z3 + 6174000*ln2*sinf^2*z2*z3 + 
    91954800*ln2*z2^2*z3 + 79329600*sinf*z2^2*z3 + 12474000*ln2^2*z3^2 - 
    15120000*ln2*sinf*z3^2 + 1212750*sinf^2*z3^2 + 82073250*z2*z3^2 + 
    28224000*ln2^3*z5 + 124803000*ln2^2*sinf*z5 + 28224000*ln2*sinf^2*z5 + 
    153216000*ln2*z2*z5 + 188559000*sinf*z2*z5 - 90491625*z3*z5 - 
    666768375*sinf*z7)/14112000, H[1, 1, -1, 1, 1, 1, -1, 0, 1] -> 
  (-4838400*li4half^2 + 45158400*li8half + 1075200*li5half*ln2^3 + 
    201600*li4half*ln2^4 + 8960*ln2^8 - 1612800*ln2^2*s6 + 7632450*s8a + 
    17942400*s8b + 3225600*s8c - 19353600*li7half*sinf + 
    3225600*li5half*ln2^2*sinf + 1612800*li4half*ln2^3*sinf + 
    44160*ln2^7*sinf - 1152000*ln2*s6*sinf + 1152000*s7a*sinf + 
    4780800*s7b*sinf + 4838400*li6half*sinf^2 + 3225600*li5half*ln2*sinf^2 + 
    1209600*li4half*ln2^2*sinf^2 + 30240*ln2^6*sinf^2 + 2016000*s6*sinf^2 - 
    14515200*li6half*z2 - 6451200*li5half*ln2*z2 - 1209600*li4half*ln2^2*z2 - 
    81760*ln2^6*z2 - 7660800*s6*z2 - 2419200*li4half*ln2*sinf*z2 - 
    268800*ln2^5*sinf*z2 - 806400*li4half*sinf^2*z2 - 
    151200*ln2^4*sinf^2*z2 - 80640*li4half*z2^2 + 231840*ln2^4*z2^2 + 
    544320*ln2^3*sinf*z2^2 + 221760*ln2^2*sinf^2*z2^2 - 60480*ln2^2*z2^3 - 
    182880*ln2*sinf*z2^3 - 394560*sinf^2*z2^3 - 4193784*z2^4 + 
    2419200*li5half*z3 + 110880*ln2^5*z3 + 5846400*li4half*sinf*z3 + 
    571200*ln2^4*sinf*z3 + 218400*ln2^3*sinf^2*z3 - 504000*ln2^3*z2*z3 - 
    2016000*ln2^2*sinf*z2*z3 - 302400*ln2*sinf^2*z2*z3 - 
    4571280*ln2*z2^2*z3 - 5456880*sinf*z2^2*z3 - 453600*ln2^2*z3^2 + 
    1440000*ln2*sinf*z3^2 - 535500*sinf^2*z3^2 + 409500*z2*z3^2 - 
    1310400*ln2^3*z5 - 7446600*ln2^2*sinf*z5 - 3931200*ln2*sinf^2*z5 + 
    7862400*ln2*z2*z5 - 8361000*sinf*z2*z5 + 3323250*z3*z5 + 
    41453325*sinf*z7)/1612800, H[1, 1, -1, 1, 1, 1, -1, -1, 1] -> 
  (1411200000*li8half + 9408000*li5half*ln2^3 - 72800*ln2^8 - 
    103824000*ln2^2*s6 + 377667675*s8a + 2605176000*s8b + 207648000*s8c + 
    243936000*s8d - 508032000*li7half*sinf + 28224000*li5half*ln2^2*sinf - 
    201600*ln2^7*sinf + 127008000*ln2*s6*sinf - 127008000*s7a*sinf + 
    183456000*s7b*sinf + 84672000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 - 156800*ln2^6*sinf^2 + 84672000*s6*sinf^2 - 
    84672000*li6half*z2 - 56448000*li5half*ln2*z2 + 1019200*ln2^6*z2 - 
    798336000*s6*z2 - 28224000*li5half*sinf*z2 + 1881600*ln2^5*sinf*z2 + 
    1176000*ln2^4*sinf^2*z2 + 48787200*li4half*z2^2 - 1495200*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 + 43663200*ln2^2*z2^3 + 2604000*ln2*sinf*z2^3 - 
    235200*sinf^2*z2^3 - 68316312*z2^4 - 438480000*li5half*z3 + 
    1184400*ln2^5*z3 - 6174000*ln2^4*sinf*z3 - 4116000*ln2^3*sinf^2*z3 - 
    7728000*ln2^3*z2*z3 + 37044000*ln2^2*sinf*z2*z3 + 
    12348000*ln2*sinf^2*z2*z3 - 229357800*ln2*z2^2*z3 - 
    47980800*sinf*z2^2*z3 - 57424500*ln2^2*z3^2 - 215208000*ln2*sinf*z3^2 - 
    33736500*sinf^2*z3^2 - 183960000*z2*z3^2 - 122010000*ln2^3*z5 - 
    553896000*ln2^2*sinf*z5 - 140238000*ln2*sinf^2*z5 - 229572000*ln2*z2*z5 - 
    408366000*sinf*z2*z5 - 27428625*z3*z5 - 1016064000*ln2*z7 + 
    1156908375*sinf*z7)/56448000, H[1, 1, -1, 1, 1, 0, 1, 1, 1] -> 
  (1451520*li4half^2 - 6773760*li8half - 322560*li5half*ln2^3 + 
    4838400*li7half*sinf - 967680*li5half*ln2^2*sinf - 
    322560*li4half*ln2^3*sinf - 6336*ln2^7*sinf + 207360*ln2*s6*sinf - 
    207360*s7a*sinf - 1416960*s7b*sinf - 1612800*li6half*sinf^2 - 
    967680*li5half*ln2*sinf^2 - 241920*li4half*ln2^2*sinf^2 - 
    4256*ln2^6*sinf^2 - 604800*s6*sinf^2 + 1612800*li6half*z2 + 
    1935360*li5half*ln2*z2 + 241920*li4half*ln2^2*z2 + 4256*ln2^6*z2 + 
    604800*s6*z2 + 967680*li5half*sinf*z2 + 967680*li4half*ln2*sinf*z2 + 
    52416*ln2^5*sinf*z2 + 241920*li4half*sinf^2*z2 + 23520*ln2^4*sinf^2*z2 + 
    919296*li4half*z2^2 - 23520*ln2^4*z2^2 - 205632*ln2^3*sinf*z2^2 - 
    50400*ln2^2*sinf^2*z2^2 + 50400*ln2^2*z2^3 + 194400*ln2*sinf*z2^3 + 
    124416*sinf^2*z2^3 - 124416*z2^4 + 241920*li5half*z3 - 
    2661120*li4half*sinf*z3 - 105840*ln2^4*sinf*z3 + 3360*ln2^3*sinf^2*z3 - 
    3360*ln2^3*z2*z3 + 635040*ln2^2*sinf*z2*z3 - 10080*ln2*sinf^2*z2*z3 + 
    10080*ln2*z2^2*z3 + 1021248*sinf*z2^2*z3 - 259200*ln2*sinf*z3^2 + 
    306180*sinf^2*z3^2 - 306180*z2*z3^2 + 322560*ln2^3*z5 + 
    2139480*ln2^2*sinf*z5 + 967680*ln2*sinf^2*z5 - 1935360*ln2*z2*z5 + 
    3232440*sinf*z2*z5 + 1693440*z3*z5 - 11430315*sinf*z7)/322560, 
 H[1, 1, -1, 1, 1, 0, 1, 0, 1] -> (-25401600*li4half^2 + 225792000*li8half + 
    3763200*li5half*ln2^3 - 2116800*li4half*ln2^4 - 69860*ln2^8 - 
    33667200*ln2^2*s6 + 85486275*s8a + 425275200*s8b + 67334400*s8c + 
    17337600*s8d - 135475200*li7half*sinf + 11289600*li5half*ln2^2*sinf - 
    67200*ln2^7*sinf + 2419200*ln2*s6*sinf - 2419200*s7a*sinf + 
    54028800*s7b*sinf + 33868800*li6half*sinf^2 + 
    11289600*li5half*ln2*sinf^2 - 47040*ln2^6*sinf^2 + 11995200*s6*sinf^2 - 
    45158400*li6half*z2 - 22579200*li5half*ln2*z2 + 282240*ln2^6*z2 - 
    93240000*s6*z2 - 22579200*li5half*sinf*z2 - 25401600*li4half*ln2*sinf*
     z2 - 493920*ln2^5*sinf*z2 - 4233600*li4half*sinf^2*z2 + 
    58800*ln2^4*sinf^2*z2 + 5160960*li4half*z2^2 - 443520*ln2^4*z2^2 + 
    1528800*ln2^3*sinf*z2^2 - 740880*ln2^2*sinf^2*z2^2 + 3966480*ln2^2*z2^3 - 
    7005600*ln2*sinf*z2^3 - 4105920*sinf^2*z2^3 - 769704*z2^4 - 
    71366400*li5half*z3 + 30240*ln2^5*z3 + 61387200*li4half*sinf*z3 + 
    1146600*ln2^4*sinf*z3 - 940800*ln2^3*sinf^2*z3 - 8828400*ln2^3*z2*z3 - 
    23108400*ln2^2*sinf*z2*z3 - 1234800*ln2*sinf^2*z2*z3 - 
    58242240*ln2*z2^2*z3 - 34566840*sinf*z2^2*z3 - 9468900*ln2^2*z3^2 - 
    3024000*ln2*sinf*z3^2 - 5380200*sinf^2*z3^2 - 66597300*z2*z3^2 - 
    1073100*ln2^3*z5 - 57903300*ln2^2*sinf*z5 - 3219300*ln2*sinf^2*z5 - 
    195564600*ln2*z2*z5 - 155225700*sinf*z2*z5 + 45089100*z3*z5 + 
    462349125*sinf*z7)/5644800, H[1, 1, -1, 1, 1, 0, 1, -1, 1] -> 
  (2161152000*li8half + 48384000*li7half*ln2 - 28224000*li6half*ln2^2 + 
    8064000*li5half*ln2^3 - 1008000*li4half*ln2^4 - 104400*ln2^8 - 
    249120000*ln2^2*s6 + 5184000*ln2*s7a + 35424000*ln2*s7b + 685973925*s8a + 
    4370184000*s8b + 481824000*s8c + 364896000*s8d - 846720000*li7half*sinf - 
    56448000*li6half*ln2*sinf + 24192000*li5half*ln2^2*sinf - 
    2688000*li4half*ln2^3*sinf - 224000*ln2^7*sinf + 160704000*ln2*s6*sinf - 
    166752000*s7a*sinf + 208224000*s7b*sinf + 108864000*li6half*sinf^2 + 
    24192000*li5half*ln2*sinf^2 - 2016000*li4half*ln2^2*sinf^2 - 
    134400*ln2^6*sinf^2 + 43344000*s6*sinf^2 - 80640000*li6half*z2 + 
    24192000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 + 840000*ln2^6*z2 - 
    1193472000*s6*z2 - 24192000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 + 873600*ln2^5*sinf*z2 + 2016000*li4half*sinf^2*z2 + 
    1344000*ln2^4*sinf^2*z2 + 70358400*li4half*z2^2 - 15288000*ln2^4*z2^2 - 
    26678400*ln2^3*sinf*z2^2 - 11894400*ln2^2*sinf^2*z2^2 + 
    20944800*ln2^2*z2^3 - 73072800*ln2*sinf*z2^3 - 16264800*sinf^2*z2^3 - 
    114363792*z2^4 - 735840000*li5half*z3 + 42336000*li4half*ln2*z3 + 
    8551200*ln2^5*z3 + 10080000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 + 
    1092000*ln2^3*sinf^2*z3 - 79548000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 + 2016000*ln2*sinf^2*z2*z3 - 
    566209800*ln2*z2^2*z3 - 56512800*sinf*z2^2*z3 - 52645500*ln2^2*z3^2 - 
    191178000*ln2*sinf*z3^2 - 18459000*sinf^2*z3^2 - 510520500*z2*z3^2 - 
    27594000*ln2^3*z5 - 358155000*ln2^2*sinf*z5 + 5103000*ln2*sinf^2*z5 - 
    1560681000*ln2*z2*z5 - 628479000*sinf*z2*z5 + 431778375*z3*z5 + 
    164797875*ln2*z7 + 1855396125*sinf*z7)/8064000, 
 H[1, 1, -1, 1, 1, 0, 0, 1, 1] -> (-169344000*li4half^2 - 564480000*li8half + 
    18816000*li5half*ln2^3 + 123200*ln2^8 + 194544000*ln2^2*s6 - 
    545691825*s8a - 4142376000*s8b - 389088000*s8c - 457632000*s8d + 
    225792000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 1052800*ln2^7*sinf - 
    245952000*ln2*s6*sinf + 245952000*s7a*sinf - 135072000*s7b*sinf + 
    56448000*li5half*ln2*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    705600*ln2^6*sinf^2 - 42336000*s6*sinf^2 - 564480000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 2587200*ln2^6*z2 + 
    1380960000*s6*z2 + 169344000*li5half*sinf*z2 - 
    112896000*li4half*ln2*sinf*z2 - 9878400*ln2^5*sinf*z2 - 
    56448000*li4half*sinf^2*z2 - 4704000*ln2^4*sinf^2*z2 - 
    18144000*li4half*z2^2 + 24175200*ln2^4*z2^2 + 54566400*ln2^3*sinf*z2^2 + 
    22579200*ln2^2*sinf^2*z2^2 - 34120800*ln2^2*z2^3 + 
    75448800*ln2*sinf*z2^3 + 8702400*sinf^2*z2^3 + 94728408*z2^4 + 
    901152000*li5half*z3 - 4687200*ln2^5*z3 + 141120000*li4half*sinf*z3 + 
    12936000*ln2^4*sinf*z3 + 4704000*ln2^3*sinf^2*z3 + 43344000*ln2^3*z2*z3 - 
    74088000*ln2^2*sinf*z2*z3 - 10584000*ln2*sinf^2*z2*z3 + 
    444364200*ln2*z2^2*z3 - 99464400*sinf*z2^2*z3 + 54715500*ln2^2*z3^2 + 
    307440000*ln2*sinf*z3^2 + 39469500*sinf^2*z3^2 + 449253000*z2*z3^2 - 
    18375000*ln2^3*z5 + 313992000*ln2^2*sinf*z5 - 55125000*ln2*sinf^2*z5 + 
    1277514000*ln2*z2*z5 + 489384000*sinf*z2*z5 - 494148375*z3*z5 - 
    991627875*sinf*z7)/56448000, H[1, 1, -1, 1, 1, 0, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    13776000*ln2^2*s6 + 43972425*s8a + 403032000*s8b + 27552000*s8c + 
    57120000*s8d + 34944000*ln2*s6*sinf - 34944000*s7a*sinf + 
    2688000*s7b*sinf + 7056000*s6*sinf^2 - 187152000*s6*z2 + 
    18816000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    1019200*ln2^5*sinf*z2 + 4704000*li4half*sinf^2*z2 + 
    196000*ln2^4*sinf^2*z2 + 8601600*li4half*z2^2 - 2699200*ln2^4*z2^2 - 
    7761600*ln2^3*sinf*z2^2 - 1999200*ln2^2*sinf^2*z2^2 + 
    8013600*ln2^2*z2^3 - 3796800*ln2*sinf*z2^3 - 991200*sinf^2*z2^3 - 
    6508032*z2^4 - 95424000*li5half*z3 + 795200*ln2^5*z3 - 
    39984000*li4half*sinf*z3 - 1666000*ln2^4*sinf*z3 - 2464000*ln2^3*z2*z3 + 
    19404000*ln2^2*sinf*z2*z3 + 2352000*ln2*sinf^2*z2*z3 - 
    41416200*ln2*z2^2*z3 + 17337600*sinf*z2^2*z3 - 3874500*ln2^2*z3^2 - 
    43680000*ln2*sinf*z3^2 - 4777500*sinf^2*z3^2 - 22060500*z2*z3^2 - 
    1421000*ln2^3*z5 - 40719000*ln2^2*sinf*z5 - 4263000*ln2*sinf^2*z5 - 
    74130000*ln2*z2*z5 - 27006000*sinf*z2*z5 + 61569375*z3*z5 - 
    2871750*sinf*z7)/9408000, H[1, 1, -1, 1, 1, 0, 0, -1, 1] -> 
  (-28224000*li4half^2 + 451584000*li8half - 112896000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    16464000*li4half*ln2^4 - 525000*ln2^8 + 519120000*ln2^2*s6 - 
    221760000*ln2*s7a + 4032000*ln2*s7b - 616051800*s8a - 3303216000*s8b - 
    467712000*s8c - 350784000*s8d - 338688000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 1187200*ln2^7*sinf + 
    131040000*ln2*s6*sinf - 4032000*s7a*sinf - 187488000*s7b*sinf - 
    56448000*li6half*sinf^2 - 56448000*li5half*ln2*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 784000*ln2^6*sinf^2 - 7056000*s6*sinf^2 - 
    169344000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 6468000*ln2^6*z2 + 1054368000*s6*z2 + 
    169344000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 + 
    8937600*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 + 
    4116000*ln2^4*sinf^2*z2 + 109065600*li4half*z2^2 - 22033200*ln2^4*z2^2 - 
    27988800*ln2^3*sinf*z2^2 - 5292000*ln2^2*sinf^2*z2^2 - 
    243784800*ln2^2*z2^3 - 83613600*ln2*sinf*z2^3 + 4804800*sinf^2*z2^3 - 
    105613008*z2^4 + 715680000*li5half*z3 - 345744000*li4half*ln2*z3 - 
    23192400*ln2^5*z3 - 289296000*li4half*sinf*z3 - 19110000*ln2^4*sinf*z3 - 
    4704000*ln2^3*sinf^2*z3 + 179592000*ln2^3*z2*z3 + 
    116424000*ln2^2*sinf*z2*z3 + 15876000*ln2*sinf^2*z2*z3 + 
    675183600*ln2*z2^2*z3 + 119700000*sinf*z2^2*z3 - 258394500*ln2^2*z3^2 - 
    98973000*ln2*sinf*z3^2 + 14553000*sinf^2*z3^2 + 550557000*z2*z3^2 - 
    218589000*ln2^3*z5 + 178164000*ln2^2*sinf*z5 + 441000*ln2*sinf^2*z5 + 
    1383354000*ln2*z2*z5 + 568827000*sinf*z2*z5 - 1043752500*z3*z5 + 
    616675500*ln2*z7 - 911869875*sinf*z7)/56448000, 
 H[1, 1, -1, 1, 1, 0, -1, 1, 1] -> 
  (-338688000*li4half^2 - 12418560000*li8half + 28224000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 1436400*ln2^8 + 
    1438416000*ln2^2*s6 - 4271044050*s8a - 27940752000*s8b - 3088512000*s8c - 
    2415168000*s8d + 4515840000*li7half*sinf + 131712000*li4half*ln2^3*sinf + 
    4592000*ln2^7*sinf - 1249920000*ln2*s6*sinf + 1249920000*s7a*sinf - 
    1106784000*s7b*sinf - 423360000*li6half*sinf^2 + 
    84672000*li5half*ln2*sinf^2 + 98784000*li4half*ln2^2*sinf^2 + 
    2822400*ln2^6*sinf^2 - 261072000*s6*sinf^2 + 395136000*li6half*z2 - 
    508032000*li5half*ln2*z2 - 225792000*li4half*ln2^2*z2 - 
    15523200*ln2^6*z2 + 7949088000*s6*z2 - 141120000*li4half*ln2*sinf*z2 - 
    30576000*ln2^5*sinf*z2 - 98784000*li4half*sinf^2*z2 - 
    19992000*ln2^4*sinf^2*z2 - 422352000*li4half*z2^2 + 
    148394400*ln2^4*z2^2 + 255427200*ln2^3*sinf*z2^2 + 
    102312000*ln2^2*sinf^2*z2^2 - 114256800*ln2^2*z2^3 + 
    465040800*ln2*sinf*z2^3 + 71618400*sinf^2*z2^3 + 625129992*z2^4 + 
    5232528000*li5half*z3 - 39018000*ln2^5*z3 + 416304000*li4half*sinf*z3 + 
    28812000*ln2^4*sinf*z3 + 7644000*ln2^3*sinf^2*z3 + 
    382536000*ln2^3*z2*z3 - 172872000*ln2^2*sinf*z2*z3 - 
    59976000*ln2*sinf^2*z2*z3 + 3423546000*ln2*z2^2*z3 + 
    14439600*sinf*z2^2*z3 + 463207500*ln2^2*z3^2 + 1562400000*ln2*sinf*z3^2 + 
    138033000*sinf^2*z3^2 + 3187579500*z2*z3^2 - 111132000*ln2^3*z5 + 
    2072700000*ln2^2*sinf*z5 - 87318000*ln2*sinf^2*z5 + 
    9686250000*ln2*z2*z5 + 3535182000*sinf*z2*z5 - 3021716250*z3*z5 - 
    9385322625*sinf*z7)/56448000, H[1, 1, -1, 1, 1, 0, -1, 0, 1] -> 
  (254016000*li4half^2 + 2257920000*li8half + 37632000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 183400*ln2^8 - 494928000*ln2^2*s6 + 
    1237497975*s8a + 8069544000*s8b + 989856000*s8c + 675360000*s8d - 
    1354752000*li7half*sinf + 112896000*li5half*ln2^2*sinf - 
    672000*ln2^7*sinf + 447552000*ln2*s6*sinf - 447552000*s7a*sinf + 
    483840000*s7b*sinf + 338688000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 - 470400*ln2^6*sinf^2 + 
    197568000*s6*sinf^2 - 1495872000*li6half*z2 - 479808000*li5half*ln2*z2 + 
    3488800*ln2^6*z2 - 2952432000*s6*z2 + 197568000*li5half*sinf*z2 + 
    254016000*li4half*ln2*sinf*z2 + 12700800*ln2^5*sinf*z2 + 
    42336000*li4half*sinf^2*z2 + 4116000*ln2^4*sinf^2*z2 - 
    72374400*li4half*z2^2 - 44116800*ln2^4*z2^2 - 81849600*ln2^3*sinf*z2^2 - 
    29988000*ln2^2*sinf^2*z2^2 + 245548800*ln2^2*z2^3 - 
    74995200*ln2*sinf*z2^3 - 49963200*sinf^2*z2^3 + 200549976*z2^4 - 
    1781136000*li5half*z3 + 10609200*ln2^5*z3 - 21168000*li4half*sinf*z3 - 
    11466000*ln2^4*sinf*z3 - 7056000*ln2^3*sinf^2*z3 - 
    119616000*ln2^3*z2*z3 + 33516000*ln2^2*sinf*z2*z3 + 
    12348000*ln2*sinf^2*z2*z3 - 1074742200*ln2*z2^2*z3 - 
    41378400*sinf*z2^2*z3 - 139198500*ln2^2*z3^2 - 559440000*ln2*sinf*z3^2 - 
    102312000*sinf^2*z3^2 - 760032000*z2*z3^2 - 30282000*ln2^3*z5 - 
    993132000*ln2^2*sinf*z5 - 90846000*ln2*sinf^2*z5 - 3156993000*ln2*z2*z5 - 
    1885653000*sinf*z2*z5 + 1222412625*z3*z5 + 3878201250*sinf*z7)/56448000, 
 H[1, 1, -1, 1, 1, 0, -1, -1, 1] -> 
  (-1411200000*li8half - 225792000*li7half*ln2 + 225792000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 793800*ln2^8 + 
    275184000*ln2^2*s6 + 40320000*ln2*s7a - 199584000*ln2*s7b - 
    377667675*s8a - 2605176000*s8b - 207648000*s8c - 243936000*s8d + 
    677376000*li7half*sinf + 508032000*li6half*ln2*sinf - 
    56448000*li4half*ln2^3*sinf - 1780800*ln2^7*sinf + 36288000*ln2*s6*sinf + 
    175392000*s7a*sinf - 247968000*s7b*sinf - 84672000*li5half*ln2*sinf^2 - 
    42336000*li4half*ln2^2*sinf^2 - 1058400*ln2^6*sinf^2 - 
    21168000*s6*sinf^2 - 254016000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 7212800*ln2^6*z2 + 628992000*s6*z2 + 
    84672000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    9172800*ln2^5*sinf*z2 + 3528000*ln2^4*sinf^2*z2 - 27619200*li4half*z2^2 - 
    38018400*ln2^4*z2^2 - 48686400*ln2^3*sinf*z2^2 - 
    16934400*ln2^2*sinf^2*z2^2 - 95911200*ln2^2*z2^3 - 
    57002400*ln2*sinf*z2^3 - 5191200*sinf^2*z2^3 + 109086552*z2^4 + 
    403200000*li5half*z3 - 169344000*li4half*ln2*z3 - 10063200*ln2^5*z3 - 
    42336000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 
    588000*ln2^3*sinf^2*z3 + 71820000*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 - 1764000*ln2*sinf^2*z2*z3 + 
    370881000*ln2*z2^2*z3 + 75524400*sinf*z2^2*z3 + 11025000*ln2^2*z3^2 + 
    139860000*ln2*sinf*z3^2 + 11025000*sinf^2*z3^2 + 274585500*z2*z3^2 + 
    357210000*ln2^3*z5 + 661500000*ln2^2*sinf*z5 + 128331000*ln2*sinf^2*z5 + 
    837018000*ln2*z2*z5 + 613305000*sinf*z2*z5 + 9127125*z3*z5 - 
    95500125*ln2*z7 - 1744966125*sinf*z7)/56448000, 
 H[1, 1, -1, 1, 1, -1, 1, 1, 1] -> 
  (-1451520*li4half^2 + 322560*li5half*ln2^3 - 2903040*li7half*sinf + 
    967680*li5half*ln2^2*sinf + 322560*li4half*ln2^3*sinf + 6336*ln2^7*sinf - 
    207360*ln2*s6*sinf + 207360*s7a*sinf + 1416960*s7b*sinf + 
    1451520*li6half*sinf^2 + 967680*li5half*ln2*sinf^2 + 
    241920*li4half*ln2^2*sinf^2 + 4256*ln2^6*sinf^2 + 604800*s6*sinf^2 - 
    1451520*li6half*z2 - 1935360*li5half*ln2*z2 - 241920*li4half*ln2^2*z2 - 
    4256*ln2^6*z2 - 604800*s6*z2 - 967680*li5half*sinf*z2 - 
    967680*li4half*ln2*sinf*z2 - 52416*ln2^5*sinf*z2 - 
    241920*li4half*sinf^2*z2 - 23520*ln2^4*sinf^2*z2 + 241920*li4half*z2^2 + 
    23520*ln2^4*z2^2 + 141120*ln2^3*sinf*z2^2 + 50400*ln2^2*sinf^2*z2^2 - 
    50400*ln2^2*z2^3 - 864*ln2*sinf*z2^3 - 124416*sinf^2*z2^3 + 124416*z2^4 + 
    1693440*li5half*z3 + 1693440*li4half*sinf*z3 + 105840*ln2^4*sinf*z3 + 
    23520*ln2^3*sinf^2*z3 - 23520*ln2^3*z2*z3 - 635040*ln2^2*sinf*z2*z3 - 
    70560*ln2*sinf^2*z2*z3 + 70560*ln2*z2^2*z3 - 1359936*sinf*z2^2*z3 + 
    259200*ln2*sinf*z3^2 - 165060*sinf^2*z3^2 + 165060*z2*z3^2 - 
    2139480*ln2^2*sinf*z5 - 967680*ln2*sinf^2*z5 + 967680*ln2*z2*z5 - 
    3232440*sinf*z2*z5 + 11430315*sinf*z7)/322560, 
 H[1, 1, -1, 1, 1, -1, 1, 0, 1] -> 
  (564480000*li8half - 47040000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 
    476000*ln2^8 + 37296000*ln2^2*s6 - 105293475*s8a - 788760000*s8b - 
    74592000*s8c - 221760000*s8d + 169344000*li7half*sinf - 
    141120000*li5half*ln2^2*sinf - 56448000*li4half*ln2^3*sinf - 
    1209600*ln2^7*sinf - 145152000*ln2*s6*sinf + 145152000*s7a*sinf - 
    122976000*s7b*sinf - 169344000*li6half*sinf^2 - 
    141120000*li5half*ln2*sinf^2 - 42336000*li4half*ln2^2*sinf^2 - 
    823200*ln2^6*sinf^2 - 119952000*s6*sinf^2 + 169344000*li6half*z2 + 
    282240000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1607200*ln2^6*z2 + 
    711648000*s6*z2 - 28224000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 + 1411200*ln2^5*sinf*z2 + 2940000*ln2^4*sinf^2*z2 + 
    48787200*li4half*z2^2 + 6736800*ln2^4*z2^2 + 16699200*ln2^3*sinf*z2^2 + 
    705600*ln2^2*sinf^2*z2^2 - 95760000*ln2^2*z2^3 - 39060000*ln2*sinf*z2^3 + 
    7912800*sinf^2*z2^3 - 41898816*z2^4 + 365904000*li5half*z3 - 
    5871600*ln2^5*z3 - 21168000*li4half*sinf*z3 - 7938000*ln2^4*sinf*z3 - 
    4704000*ln2^3*sinf^2*z3 + 5796000*ln2^3*z2*z3 - 
    51156000*ln2^2*sinf*z2*z3 - 10584000*ln2*sinf^2*z2*z3 + 
    184476600*ln2*z2^2*z3 + 32709600*sinf*z2^2*z3 + 10489500*ln2^2*z3^2 + 
    181440000*ln2*sinf*z3^2 + 57330000*sinf^2*z3^2 - 21892500*z2*z3^2 + 
    72618000*ln2^3*z5 + 477603000*ln2^2*sinf*z5 + 217854000*ln2*sinf^2*z5 - 
    42588000*ln2*z2*z5 + 223209000*sinf*z2*z5 - 614730375*z3*z5 - 
    310251375*sinf*z7)/56448000, H[1, 1, -1, 1, 1, -1, 1, -1, 1] -> 
  (24192000*li8half - 4032000*li5half*ln2^3 + 30000*ln2^8 - 
    3024000*ln2^2*s6 - 6720525*s8a - 37800000*s8b + 6048000*s8c - 
    24192000*s8d + 48384000*li7half*sinf - 12096000*li5half*ln2^2*sinf + 
    81600*ln2^7*sinf - 19008000*ln2*s6*sinf + 19008000*s7a*sinf - 
    29376000*s7b*sinf - 24192000*li6half*sinf^2 - 
    12096000*li5half*ln2*sinf^2 + 61600*ln2^6*sinf^2 - 24192000*s6*sinf^2 + 
    24192000*li6half*z2 + 24192000*li5half*ln2*z2 - 397600*ln2^6*z2 + 
    81648000*s6*z2 + 12096000*li5half*sinf*z2 - 705600*ln2^5*sinf*z2 - 
    420000*ln2^4*sinf^2*z2 - 4838400*li4half*z2^2 + 1478400*ln2^4*z2^2 + 
    1512000*ln2^3*sinf*z2^2 + 252000*ln2^2*sinf^2*z2^2 - 5781600*ln2^2*z2^3 - 
    4838400*ln2*sinf*z2^3 + 151200*sinf^2*z2^3 + 7949016*z2^4 + 
    27216000*li5half*z3 + 478800*ln2^5*z3 + 1764000*ln2^4*sinf*z3 + 
    1176000*ln2^3*sinf^2*z3 - 5964000*ln2^3*z2*z3 - 
    10584000*ln2^2*sinf*z2*z3 - 3528000*ln2*sinf^2*z2*z3 - 
    6791400*ln2*z2^2*z3 + 7084800*sinf*z2^2*z3 + 7213500*ln2^2*z3^2 + 
    39888000*ln2*sinf*z3^2 + 9639000*sinf^2*z3^2 - 17041500*z2*z3^2 + 
    5859000*ln2^3*z5 + 88641000*ln2^2*sinf*z5 + 41769000*ln2*sinf^2*z5 - 
    77490000*ln2*z2*z5 + 46035000*sinf*z2*z5 - 33177375*z3*z5 + 
    24192000*ln2*z7 - 132077250*sinf*z7)/8064000, 
 H[1, 1, -1, 1, 1, -1, 0, 1, 1] -> (33868800*li4half^2 + 11289600*li8half - 
    6585600*li5half*ln2^3 - 3640*ln2^8 - 2217600*ln2^2*s6 - 1647450*s8a - 
    40118400*s8b + 4435200*s8c - 12902400*s8d + 39513600*li7half*sinf - 
    19756800*li5half*ln2^2*sinf - 7526400*li4half*ln2^3*sinf - 
    156800*ln2^7*sinf + 11289600*ln2*s6*sinf - 11289600*s7a*sinf - 
    28224000*s7b*sinf - 25401600*li6half*sinf^2 - 
    19756800*li5half*ln2*sinf^2 - 5644800*li4half*ln2^2*sinf^2 - 
    105840*ln2^6*sinf^2 - 10584000*s6*sinf^2 - 25401600*li6half*z2 + 
    39513600*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 98000*ln2^6*z2 + 
    19454400*s6*z2 + 36691200*li5half*sinf*z2 + 22579200*li4half*ln2*sinf*
     z2 + 1223040*ln2^5*sinf*z2 + 5644800*li4half*sinf^2*z2 + 
    646800*ln2^4*sinf^2*z2 - 8225280*li4half*z2^2 - 1236480*ln2^4*z2^2 - 
    4609920*ln2^3*sinf*z2^2 - 2081520*ln2^2*sinf^2*z2^2 + 
    4541040*ln2^2*z2^3 + 846720*ln2*sinf*z2^3 + 1683360*sinf^2*z2^3 + 
    6146244*z2^4 - 42638400*li5half*z3 + 178920*ln2^5*z3 - 
    39513600*li4half*sinf*z3 - 2087400*ln2^4*sinf*z3 - 
    294000*ln2^3*sinf^2*z3 - 672000*ln2^3*z2*z3 + 14994000*ln2^2*sinf*z2*z3 + 
    3351600*ln2*sinf^2*z2*z3 - 5911920*ln2*z2^2*z3 + 28876680*sinf*z2^2*z3 - 
    623700*ln2^2*z3^2 - 14112000*ln2*sinf*z3^2 + 2425500*sinf^2*z3^2 + 
    6948900*z2*z3^2 + 6497400*ln2^3*z5 + 35897400*ln2^2*sinf*z5 + 
    19492200*ln2*sinf^2*z5 - 18421200*ln2*z2*z5 + 56800800*sinf*z2*z5 + 
    4643100*z3*z5 - 229110525*sinf*z7)/5644800, 
 H[1, 1, -1, 1, 1, -1, 0, 0, 1] -> (645120*li8half + 215040*li5half*ln2^3 + 
    80640*li4half*ln2^4 + 1584*ln2^8 - 645120*ln2^2*s6 + 2166570*s8a + 
    15886080*s8b + 1290240*s8c + 2419200*s8d - 1935360*li7half*sinf + 
    645120*li5half*ln2^2*sinf + 215040*li4half*ln2^3*sinf + 3968*ln2^7*sinf + 
    990720*ln2*s6*sinf - 990720*s7a*sinf + 1186560*s7b*sinf + 
    967680*li6half*sinf^2 + 645120*li5half*ln2*sinf^2 + 
    161280*li4half*ln2^2*sinf^2 + 2688*ln2^6*sinf^2 + 685440*s6*sinf^2 - 
    1290240*li5half*ln2*z2 - 161280*li4half*ln2^2*z2 + 1344*ln2^6*z2 - 
    7539840*s6*z2 - 322560*li5half*sinf*z2 + 322560*li4half*ln2*sinf*z2 + 
    8064*ln2^5*sinf*z2 - 6720*ln2^4*sinf^2*z2 + 129024*li4half*z2^2 - 
    90720*ln2^4*z2^2 - 173376*ln2^3*sinf*z2^2 - 38304*ln2^2*sinf^2*z2^2 + 
    296064*ln2^2*z2^3 - 170784*ln2*sinf*z2^3 - 73440*sinf^2*z2^3 - 
    269928*z2^4 - 3064320*li5half*z3 + 37632*ln2^5*z3 + 
    80640*li4half*sinf*z3 + 33600*ln2^4*sinf*z3 + 20160*ln2^3*sinf^2*z3 - 
    90720*ln2^3*z2*z3 + 322560*ln2^2*sinf*z2*z3 + 70560*ln2*sinf^2*z2*z3 - 
    1954512*ln2*z2^2*z3 - 405648*sinf*z2^2*z3 - 181440*ln2^2*z3^2 - 
    1238400*ln2*sinf*z3^2 - 282240*sinf^2*z3^2 - 1181880*z2*z3^2 - 
    315840*ln2^3*z5 - 3056760*ln2^2*sinf*z5 - 947520*ln2*sinf^2*z5 - 
    1975680*ln2*z2*z5 - 2772360*sinf*z2*z5 + 3907890*z3*z5 + 6668595*sinf*z7)/
   322560, H[1, 1, -1, 1, 1, -1, 0, -1, 1] -> 
  (338688000*li4half^2 + 4007808000*li8half + 56448000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 539000*ln2^8 - 
    82656000*ln2^2*s6 - 76608000*ln2*s7a + 135072000*ln2*s7b + 
    837942525*s8a + 6202728000*s8b + 445536000*s8c + 669312000*s8d - 
    1693440000*li7half*sinf - 169344000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf - 75264000*li4half*ln2^3*sinf - 
    2800000*ln2^7*sinf + 598752000*ln2*s6*sinf - 471744000*s7a*sinf + 
    205632000*s7b*sinf + 169344000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 - 56448000*li4half*ln2^2*sinf^2 - 
    1881600*ln2^6*sinf^2 + 169344000*s6*sinf^2 - 338688000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 7291200*ln2^6*z2 - 
    2234736000*s6*z2 + 112896000*li5half*sinf*z2 + 
    225792000*li4half*ln2*sinf*z2 + 22344000*ln2^5*sinf*z2 + 
    56448000*li4half*sinf^2*z2 + 11172000*ln2^4*sinf^2*z2 + 
    77414400*li4half*z2^2 - 58573200*ln2^4*z2^2 - 107721600*ln2^3*sinf*z2^2 - 
    37396800*ln2^2*sinf^2*z2^2 - 69350400*ln2^2*z2^3 - 
    201499200*ln2*sinf*z2^3 - 20815200*sinf^2*z2^3 - 329427936*z2^4 - 
    1493856000*li5half*z3 + 4334400*ln2^5*z3 - 395136000*li4half*sinf*z3 - 
    36750000*ln2^4*sinf*z3 - 13524000*ln2^3*sinf^2*z3 - 
    25704000*ln2^3*z2*z3 + 232848000*ln2^2*sinf*z2*z3 + 
    52920000*ln2*sinf^2*z2*z3 - 650071800*ln2*z2^2*z3 + 
    138272400*sinf*z2^2*z3 - 223902000*ln2^2*z3^2 - 720657000*ln2*sinf*z3^2 - 
    78939000*sinf^2*z3^2 - 369211500*z2*z3^2 - 247254000*ln2^3*z5 - 
    782775000*ln2^2*sinf*z5 - 126567000*ln2*sinf^2*z5 - 
    1317519000*ln2*z2*z5 - 534366000*sinf*z2*z5 + 386434125*z3*z5 + 
    842018625*ln2*z7 + 1924728750*sinf*z7)/56448000, 
 H[1, 1, -1, 1, 1, -1, -1, 1, 1] -> 
  (846720000*li8half - 8400*ln2^8 - 163296000*ln2^2*s6 + 518877450*s8a + 
    2343600000*s8b + 326592000*s8c + 223776000*s8d - 169344000*li7half*sinf - 
    33600*ln2^7*sinf + 66528000*ln2*s6*sinf - 66528000*s7a*sinf + 
    102816000*s7b*sinf - 39200*ln2^6*sinf^2 + 274400*ln2^6*z2 - 
    722736000*s6*z2 + 705600*ln2^5*sinf*z2 + 588000*ln2^4*sinf^2*z2 + 
    44755200*li4half*z2^2 + 3040800*ln2^4*z2^2 + 3528000*ln2^3*sinf*z2^2 + 
    1764000*ln2^2*sinf^2*z2^2 + 65318400*ln2^2*z2^3 + 
    15271200*ln2*sinf*z2^3 - 856800*sinf^2*z2^3 - 100945008*z2^4 - 
    447552000*li5half*z3 + 1260000*ln2^5*z3 - 6174000*ln2^4*sinf*z3 - 
    4116000*ln2^3*sinf^2*z3 - 22596000*ln2^3*z2*z3 + 
    8820000*ln2^2*sinf*z2*z3 - 1764000*ln2*sinf^2*z2*z3 - 
    363762000*ln2*z2^2*z3 - 44553600*sinf*z2^2*z3 - 60039000*ln2^2*z3^2 - 
    83160000*ln2*sinf*z3^2 + 3307500*sinf^2*z3^2 - 336010500*z2*z3^2 - 
    140679000*ln2^3*z5 - 289737000*ln2^2*sinf*z5 + 1323000*ln2*sinf^2*z5 - 
    728406000*ln2*z2*z5 - 181629000*sinf*z2*z5 + 646411500*z3*z5 + 
    488509875*sinf*z7)/56448000, H[1, 1, -1, 1, 1, -1, -1, 0, 1] -> 
  (-84672000*li4half^2 - 310464000*li8half + 18816000*li5half*ln2^3 - 
    17500*ln2^8 - 34272000*ln2^2*s6 + 42228900*s8a + 316512000*s8b + 
    68544000*s8c + 30240000*s8d - 56448000*li7half*sinf + 
    56448000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    324800*ln2^7*sinf - 8064000*ln2*s6*sinf + 8064000*s7a*sinf + 
    92736000*s7b*sinf + 70560000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 + 
    215600*ln2^6*sinf^2 + 35280000*s6*sinf^2 + 14112000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 98000*ln2^6*z2 - 
    60480000*s6*z2 - 56448000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 2940000*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    1176000*ln2^4*sinf^2*z2 + 20160000*li4half*z2^2 + 2310000*ln2^4*z2^2 + 
    10466400*ln2^3*sinf*z2^2 + 3175200*ln2^2*sinf^2*z2^2 + 
    26560800*ln2^2*z2^3 + 25956000*ln2*sinf*z2^3 - 3477600*sinf^2*z2^3 + 
    52132104*z2^4 + 38304000*li5half*z3 - 142800*ln2^5*z3 + 
    98784000*li4half*sinf*z3 + 4557000*ln2^4*sinf*z3 + 
    294000*ln2^3*sinf^2*z3 - 13272000*ln2^3*z2*z3 - 
    52038000*ln2^2*sinf*z2*z3 - 7056000*ln2*sinf^2*z2*z3 - 
    36754200*ln2*z2^2*z3 - 66439800*sinf*z2^2*z3 - 9639000*ln2^2*z3^2 + 
    10080000*ln2*sinf*z3^2 - 12458250*sinf^2*z3^2 - 93633750*z2*z3^2 - 
    20359500*ln2^3*z5 - 143104500*ln2^2*sinf*z5 - 61078500*ln2*sinf^2*z5 - 
    358659000*ln2*z2*z5 - 276160500*sinf*z2*z5 + 106210125*z3*z5 + 
    660436875*sinf*z7)/28224000, H[1, 1, -1, 1, 1, -1, -1, -1, 1] -> 
  (16934400*li4half^2 - 180633600*li8half - 1881600*li5half*ln2^3 - 
    12320*ln2^8 + 35683200*ln2^2*s6 - 93395925*s8a - 531720000*s8b - 
    71366400*s8c - 35884800*s8d + 45158400*li7half*sinf - 
    5644800*li5half*ln2^2*sinf - 3763200*li4half*ln2^3*sinf - 
    105280*ln2^7*sinf - 4435200*ln2*s6*sinf + 4435200*s7a*sinf - 
    26611200*s7b*sinf - 5644800*li6half*sinf^2 - 5644800*li5half*ln2*sinf^2 - 
    2822400*li4half*ln2^2*sinf^2 - 70560*ln2^6*sinf^2 + 1411200*s6*sinf^2 + 
    5644800*li6half*z2 + 11289600*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 
    180320*ln2^6*z2 + 123984000*s6*z2 + 5644800*li5half*sinf*z2 + 
    11289600*li4half*ln2*sinf*z2 + 799680*ln2^5*sinf*z2 + 
    2822400*li4half*sinf^2*z2 + 352800*ln2^4*sinf^2*z2 - 
    9999360*li4half*z2^2 - 1592640*ln2^4*z2^2 - 3057600*ln2^3*sinf*z2^2 - 
    1058400*ln2^2*sinf^2*z2^2 - 11558400*ln2^2*z2^3 - 3057600*ln2*sinf*z2^3 + 
    698880*sinf^2*z2^3 + 815448*z2^4 + 61891200*li5half*z3 - 
    515760*ln2^5*z3 - 19756800*li4half*sinf*z3 - 823200*ln2^4*sinf*z3 + 
    7980000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 + 
    2822400*ln2*sinf^2*z2*z3 + 73586520*ln2*z2^2*z3 + 17317440*sinf*z2^2*z3 + 
    10035900*ln2^2*z3^2 - 100800*ln2*sinf*z3^2 - 1234800*sinf^2*z3^2 + 
    76589100*z2*z3^2 + 27224400*ln2^3*z5 + 52479000*ln2^2*sinf*z5 - 
    2998800*ln2*sinf^2*z5 + 194695200*ln2*z2*z5 + 82139400*sinf*z2*z5 - 
    59596425*z3*z5 + 86083200*ln2*z7 - 204075900*sinf*z7)/11289600, 
 H[1, 1, -1, 1, 0, 1, 1, 1, 1] -> (-63504000*li4half^2 + 98784000*li8half + 
    9408000*li5half*ln2^3 + 34300*ln2^8 - 44352000*ln2^2*s6 + 149327325*s8a + 
    552384000*s8b + 88704000*s8c + 17136000*s8d - 84672000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf + 14112000*li4half*ln2^3*sinf + 
    369600*ln2^7*sinf - 12096000*ln2*s6*sinf + 12096000*s7a*sinf + 
    82656000*s7b*sinf + 35280000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 + 10584000*li4half*ln2^2*sinf^2 + 
    254800*ln2^6*sinf^2 + 17640000*s6*sinf^2 - 35280000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 10584000*li4half*ln2^2*z2 - 627200*ln2^6*z2 - 
    104832000*s6*z2 - 28224000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 - 3057600*ln2^5*sinf*z2 - 10584000*li4half*sinf^2*z2 - 
    1470000*ln2^4*sinf^2*z2 + 30945600*li4half*z2^2 + 3229800*ln2^4*z2^2 + 
    6350400*ln2^3*sinf*z2^2 + 1234800*ln2^2*sinf^2*z2^2 - 
    10155600*ln2^2*z2^3 + 5594400*ln2*sinf*z2^3 - 2217600*sinf^2*z2^3 - 
    24628428*z2^4 + 15120000*li5half*z3 + 1108800*ln2^5*z3 + 
    74088000*li4half*sinf*z3 + 6174000*ln2^4*sinf*z3 + 
    2058000*ln2^3*sinf^2*z3 - 13146000*ln2^3*z2*z3 - 
    37044000*ln2^2*sinf*z2*z3 - 6174000*ln2*sinf^2*z2*z3 - 
    91954800*ln2*z2^2*z3 - 89208000*sinf*z2^2*z3 - 12474000*ln2^2*z3^2 + 
    15120000*ln2*sinf*z3^2 - 1212750*sinf^2*z3^2 - 82073250*z2*z3^2 - 
    9408000*ln2^3*z5 - 96579000*ln2^2*sinf*z5 - 28224000*ln2*sinf^2*z5 - 
    209664000*ln2*z2*z5 - 216783000*sinf*z2*z5 + 189275625*z3*z5 + 
    666768375*sinf*z7)/14112000, H[1, 1, -1, 1, 0, 1, 1, 0, 1] -> 
  (254016000*li4half^2 + 21168000*li4half*ln2^4 + 441000*ln2^8 + 
    173376000*ln2^2*s6 - 516640950*s8a - 1591632000*s8b - 346752000*s8c + 
    92736000*s8d + 169344000*ln2*s6*sinf - 169344000*s7a*sinf - 
    268128000*s7b*sinf + 28224000*s6*sinf^2 - 282240000*li6half*z2 - 
    392000*ln2^6*z2 - 86688000*s6*z2 + 225792000*li5half*sinf*z2 + 
    254016000*li4half*ln2*sinf*z2 + 8702400*ln2^5*sinf*z2 + 
    42336000*li4half*sinf^2*z2 + 1764000*ln2^4*sinf^2*z2 - 
    201600000*li4half*z2^2 - 14868000*ln2^4*z2^2 - 35280000*ln2^3*sinf*z2^2 - 
    3528000*ln2^2*sinf^2*z2^2 + 46065600*ln2^2*z2^3 - 
    30693600*ln2*sinf*z2^3 + 2016000*sinf^2*z2^3 + 75710808*z2^4 - 
    411264000*li5half*z3 + 3427200*ln2^5*z3 - 275184000*li4half*sinf*z3 - 
    11466000*ln2^4*sinf*z3 + 56280000*ln2^3*z2*z3 + 
    224028000*ln2^2*sinf*z2*z3 + 38808000*ln2*sinf^2*z2*z3 + 
    201196800*ln2*z2^2*z3 + 346096800*sinf*z2^2*z3 + 48762000*ln2^2*z3^2 - 
    211680000*ln2*sinf*z3^2 - 49392000*sinf^2*z3^2 + 520254000*z2*z3^2 - 
    26019000*ln2^3*z5 + 17640000*ln2^2*sinf*z5 - 78057000*ln2*sinf^2*z5 + 
    1196370000*ln2*z2*z5 + 797328000*sinf*z2*z5 - 585931500*z3*z5 - 
    2485641375*sinf*z7)/56448000, H[1, 1, -1, 1, 0, 1, 1, -1, 1] -> 
  (169344000*li4half^2 - 15128064000*li8half - 846720000*li7half*ln2 + 
    56448000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    498400*ln2^8 + 2270016000*ln2^2*s6 + 36288000*ln2*s7a + 
    247968000*ln2*s7b - 6381857475*s8a - 38090808000*s8b - 4570272000*s8c - 
    3304224000*s8d + 4910976000*li7half*sinf + 112896000*li6half*ln2*sinf - 
    225792000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf + 
    280000*ln2^7*sinf - 1088640000*ln2*s6*sinf + 1130976000*s7a*sinf - 
    1507968000*s7b*sinf - 762048000*li6half*sinf^2 - 
    225792000*li5half*ln2*sinf^2 - 14112000*li4half*ln2^2*sinf^2 + 
    235200*ln2^6*sinf^2 - 303408000*s6*sinf^2 + 705600000*li6half*z2 + 
    451584000*li5half*ln2*z2 + 98784000*li4half*ln2^2*z2 - 2665600*ln2^6*z2 + 
    10827936000*s6*z2 + 225792000*li5half*sinf*z2 + 
    56448000*li4half*ln2*sinf*z2 - 9643200*ln2^5*sinf*z2 + 
    14112000*li4half*sinf^2*z2 - 9408000*ln2^4*sinf^2*z2 - 
    751161600*li4half*z2^2 + 105823200*ln2^4*z2^2 + 
    241080000*ln2^3*sinf*z2^2 + 68796000*ln2^2*sinf^2*z2^2 - 
    375278400*ln2^2*z2^3 + 409348800*ln2*sinf*z2^3 + 107856000*sinf^2*z2^3 + 
    856500264*z2^4 + 6213312000*li5half*z3 + 148176000*li4half*ln2*z3 - 
    53012400*ln2^5*z3 - 98784000*li4half*sinf*z3 - 22638000*ln2^4*sinf*z3 - 
    12348000*ln2^3*sinf^2*z3 + 567168000*ln2^3*z2*z3 + 
    61740000*ln2^2*sinf*z2*z3 + 37044000*ln2*sinf^2*z2*z3 + 
    4930241400*ln2*z2^2*z3 + 511333200*sinf*z2^2*z3 + 584419500*ln2^2*z3^2 + 
    1206450000*ln2*sinf*z3^2 + 104517000*sinf^2*z3^2 + 4895572500*z2*z3^2 - 
    208446000*ln2^3*z5 + 2546334000*ln2^2*sinf*z5 - 10143000*ln2*sinf^2*z5 + 
    12996081000*ln2*z2*z5 + 4522266000*sinf*z2*z5 - 5957839125*z3*z5 + 
    1153585125*ln2*z7 - 12516273000*sinf*z7)/56448000, 
 H[1, 1, -1, 1, 0, 1, 0, 1, 1] -> (33868800*li4half^2 - 112896000*li8half - 
    7526400*li5half*ln2^3 + 1120*ln2^8 + 604800*ln2^2*s6 - 23278500*s8a - 
    229219200*s8b - 1209600*s8c - 45360000*s8d + 90316800*li7half*sinf - 
    22579200*li5half*ln2^2*sinf - 7526400*li4half*ln2^3*sinf - 
    143360*ln2^7*sinf - 8870400*ln2*s6*sinf + 8870400*s7a*sinf - 
    27820800*s7b*sinf - 33868800*li6half*sinf^2 - 
    22579200*li5half*ln2*sinf^2 - 5644800*li4half*ln2^2*sinf^2 - 
    94080*ln2^6*sinf^2 - 13406400*s6*sinf^2 - 5644800*li6half*z2 + 
    45158400*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 7840*ln2^6*z2 + 
    123177600*s6*z2 + 45158400*li5half*sinf*z2 + 22579200*li4half*ln2*sinf*
     z2 + 940800*ln2^5*sinf*z2 + 2822400*li4half*sinf^2*z2 + 
    352800*ln2^4*sinf^2*z2 - 13587840*li4half*z2^2 - 425040*ln2^4*z2^2 - 
    2446080*ln2^3*sinf*z2^2 - 1128960*ln2^2*sinf^2*z2^2 + 
    6113520*ln2^2*z2^3 + 10553760*ln2*sinf*z2^3 + 3684240*sinf^2*z2^3 + 
    19968948*z2^4 + 6048000*li5half*z3 - 50400*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 + 268800*ln2^3*z2*z3 + 
    6350400*ln2^2*sinf*z2*z3 - 705600*ln2*sinf^2*z2*z3 + 
    1373400*ln2*z2^2*z3 + 15054480*sinf*z2^2*z3 + 170100*ln2^2*z3^2 + 
    11088000*ln2*sinf*z3^2 + 5247900*sinf^2*z3^2 + 18018000*z2*z3^2 + 
    7350000*ln2^3*z5 + 57594600*ln2^2*sinf*z5 + 22050000*ln2*sinf^2*z5 - 
    40471200*ln2*z2*z5 + 50589000*sinf*z2*z5 - 14628600*z3*z5 - 
    239766975*sinf*z7)/5644800, H[1, 1, -1, 1, 0, 1, 0, 0, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 - 403200*ln2^2*s6 + 
    2356620*s8a + 7412160*s8b + 806400*s8c + 698880*s8d - 
    940800*ln2*s6*sinf + 940800*s7a*sinf + 1505280*s7b*sinf - 
    188160*s6*sinf^2 + 4515840*li6half*z2 + 6272*ln2^6*z2 + 201600*s6*z2 - 
    3010560*li5half*sinf*z2 - 2257920*li4half*ln2*sinf*z2 - 
    68992*ln2^5*sinf*z2 - 376320*li4half*sinf^2*z2 - 15680*ln2^4*sinf^2*z2 + 
    2736384*li4half*z2^2 + 104608*ln2^4*z2^2 + 163072*ln2^3*sinf*z2^2 - 
    18816*ln2^2*sinf^2*z2^2 - 582288*ln2^2*z2^3 + 268128*ln2*sinf*z2^3 + 
    114800*sinf^2*z2^3 - 1612720*z2^4 + 3118080*li5half*z3 - 25984*ln2^5*z3 + 
    2069760*li4half*sinf*z3 + 86240*ln2^4*sinf*z3 - 179200*ln2^3*z2*z3 - 
    1270080*ln2^2*sinf*z2*z3 - 188160*ln2*sinf^2*z2*z3 - 17136*ln2*z2^2*z3 - 
    2511936*sinf*z2^2*z3 - 113400*ln2^2*z3^2 + 1176000*ln2*sinf*z3^2 + 
    241080*sinf^2*z3^2 - 3186120*z2*z3^2 + 80360*ln2^3*z5 - 
    305760*ln2^2*sinf*z5 + 241080*ln2*sinf^2*z5 - 2901360*ln2*z2*z5 - 
    2010960*sinf*z2*z5 + 4064970*z3*z5 + 12237015*sinf*z7)/376320, 
 H[1, 1, -1, 1, 0, 1, 0, -1, 1] -> 
  (-705600000*li4half^2 + 1354752000*li8half + 225792000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 75264000*li5half*ln2^3 - 
    30576000*li4half*ln2^4 - 530600*ln2^8 + 426384000*ln2^2*s6 - 
    354816000*ln2*s7a - 227808000*ln2*s7b - 46191600*s8a - 953568000*s8b + 
    40320000*s8c - 379008000*s8d - 677376000*li7half*sinf + 
    225792000*li6half*ln2*sinf + 225792000*li5half*ln2^2*sinf + 
    75264000*li4half*ln2^3*sinf + 1702400*ln2^7*sinf + 
    175392000*ln2*s6*sinf + 8064000*s7a*sinf + 50400000*s7b*sinf + 
    451584000*li6half*sinf^2 + 225792000*li5half*ln2*sinf^2 + 
    56448000*li4half*ln2^2*sinf^2 + 1097600*ln2^6*sinf^2 + 
    112896000*s6*sinf^2 - 762048000*li6half*z2 - 451584000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 4860800*ln2^6*z2 + 701568000*s6*z2 - 
    112896000*li5half*sinf*z2 - 225792000*li4half*ln2*sinf*z2 - 
    15993600*ln2^5*sinf*z2 - 70560000*li4half*sinf^2*z2 - 
    7644000*ln2^4*sinf^2*z2 + 302400000*li4half*z2^2 - 9332400*ln2^4*z2^2 + 
    13641600*ln2^3*sinf*z2^2 - 7408800*ln2^2*sinf^2*z2^2 - 
    270093600*ln2^2*z2^3 - 120405600*ln2*sinf*z2^3 - 55944000*sinf^2*z2^3 - 
    4109256*z2^4 + 1012032000*li5half*z3 - 642096000*li4half*ln2*z3 - 
    25309200*ln2^5*z3 + 430416000*li4half*sinf*z3 + 42630000*ln2^4*sinf*z3 + 
    16464000*ln2^3*sinf^2*z3 + 128436000*ln2^3*z2*z3 - 
    259308000*ln2^2*sinf*z2*z3 - 52920000*ln2*sinf^2*z2*z3 + 
    446544000*ln2*z2^2*z3 - 247514400*sinf*z2^2*z3 - 307629000*ln2^2*z3^2 + 
    293202000*ln2*sinf*z3^2 - 29106000*sinf^2*z3^2 + 630000*z2*z3^2 - 
    123627000*ln2^3*z5 - 42777000*ln2^2*sinf*z5 - 1764000*ln2*sinf^2*z5 + 
    547785000*ln2*z2*z5 - 198765000*sinf*z2*z5 - 746298000*z3*z5 - 
    746195625*ln2*z7 + 1434502125*sinf*z7)/56448000, 
 H[1, 1, -1, 1, 0, 1, -1, 1, 1] -> 
  (967680000*li8half - 5040000*li6half*ln2^2 + 5376000*li5half*ln2^3 - 
    756000*li4half*ln2^4 - 59300*ln2^8 - 133056000*ln2^2*s6 + 385290675*s8a + 
    2373840000*s8b + 266112000*s8c + 220752000*s8d - 362880000*li7half*sinf + 
    12096000*li5half*ln2^2*sinf - 2016000*li4half*ln2^3*sinf - 
    112800*ln2^7*sinf + 91584000*ln2*s6*sinf - 91584000*s7a*sinf + 
    108000000*s7b*sinf + 48384000*li6half*sinf^2 + 
    8064000*li5half*ln2*sinf^2 - 1512000*li4half*ln2^2*sinf^2 - 
    63000*ln2^6*sinf^2 + 26208000*s6*sinf^2 - 43344000*li6half*z2 - 
    24192000*li5half*ln2*z2 - 3024000*li4half*ln2^2*z2 + 463400*ln2^6*z2 - 
    711144000*s6*z2 - 12096000*li5half*sinf*z2 + 6048000*li4half*ln2*sinf*
     z2 + 1360800*ln2^5*sinf*z2 + 1512000*li4half*sinf^2*z2 + 
    861000*ln2^4*sinf^2*z2 + 47930400*li4half*z2^2 - 7686000*ln2^4*z2^2 - 
    17421600*ln2^3*sinf*z2^2 - 5632200*ln2^2*sinf^2*z2^2 + 
    18289800*ln2^2*z2^3 - 29923200*ln2*sinf*z2^3 - 6129000*sinf^2*z2^3 - 
    60633612*z2^4 - 413280000*li5half*z3 + 3444000*ln2^5*z3 - 
    10584000*li4half*sinf*z3 - 441000*ln2^4*sinf*z3 - 34440000*ln2^3*z2*z3 + 
    7938000*ln2^2*sinf*z2*z3 - 295092000*ln2*z2^2*z3 - 
    26199000*sinf*z2^2*z3 - 38965500*ln2^2*z3^2 - 114480000*ln2*sinf*z3^2 - 
    9828000*sinf^2*z3^2 - 280822500*z2*z3^2 - 6468000*ln2^3*z5 - 
    206892000*ln2^2*sinf*z5 - 7686000*ln2*sinf^2*z5 - 771246000*ln2*z2*z5 - 
    309942000*sinf*z2*z5 + 342318375*z3*z5 + 856191375*sinf*z7)/2016000, 
 H[1, 1, -1, 1, 0, 1, -1, 0, 1] -> (16934400*li4half^2 - 1806336000*li8half - 
    30105600*li5half*ln2^3 - 4233600*li4half*ln2^4 + 280*ln2^8 + 
    255628800*ln2^2*s6 - 728368200*s8a - 4597891200*s8b - 511257600*s8c - 
    442713600*s8d + 1083801600*li7half*sinf - 90316800*li5half*ln2^2*sinf - 
    15052800*li4half*ln2^3*sinf - 89600*ln2^7*sinf - 308851200*ln2*s6*sinf + 
    308851200*s7a*sinf - 303609600*s7b*sinf - 270950400*li6half*sinf^2 - 
    90316800*li5half*ln2*sinf^2 - 11289600*li4half*ln2^2*sinf^2 - 
    94080*ln2^6*sinf^2 - 146764800*s6*sinf^2 + 784627200*li6half*z2 + 
    248371200*li5half*ln2*z2 - 22579200*li4half*ln2^2*z2 - 1764000*ln2^6*z2 + 
    1802707200*s6*z2 - 67737600*li5half*sinf*z2 - 73382400*li4half*ln2*sinf*
     z2 - 1740480*ln2^5*sinf*z2 - 8467200*li4half*sinf^2*z2 + 
    588000*ln2^4*sinf^2*z2 - 64552320*li4half*z2^2 + 18137280*ln2^4*z2^2 + 
    39372480*ln2^3*sinf*z2^2 + 19404000*ln2^2*sinf^2*z2^2 - 
    88583040*ln2^2*z2^3 + 75428640*ln2*sinf*z2^3 + 34392960*sinf^2*z2^3 + 
    20404512*z2^4 + 834624000*li5half*z3 - 6955200*ln2^5*z3 + 
    49392000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 + 62966400*ln2^3*z2*z3 - 
    23637600*ln2^2*sinf*z2*z3 - 2822400*ln2*sinf^2*z2*z3 + 
    556617600*ln2*z2^2*z3 + 46962720*sinf*z2^2*z3 + 71895600*ln2^2*z3^2 + 
    386064000*ln2*sinf*z3^2 + 57859200*sinf^2*z3^2 + 369684000*z2*z3^2 + 
    29811600*ln2^3*z5 + 682756200*ln2^2*sinf*z5 + 89434800*ln2*sinf^2*z5 + 
    1256472000*ln2*z2*z5 + 961619400*sinf*z2*z5 - 609354900*z3*z5 - 
    2373315525*sinf*z7)/11289600, H[1, 1, -1, 1, 0, 1, -1, -1, 1] -> 
  (-67737600*li4half^2 - 2562739200*li8half + 101606400*li7half*ln2 - 
    5644800*li6half*ln2^2 - 22579200*li5half*ln2^3 + 1411200*li4half*ln2^4 + 
    273000*ln2^8 + 328809600*ln2^2*s6 - 22982400*ln2*s7a - 45561600*ln2*s7b - 
    996645825*s8a - 6335179200*s8b - 679392000*s8c - 616089600*s8d + 
    1049932800*li7half*sinf - 67737600*li6half*ln2*sinf - 
    45158400*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    857920*ln2^7*sinf - 298771200*ln2*s6*sinf + 231033600*s7a*sinf - 
    305222400*s7b*sinf - 169344000*li6half*sinf^2 - 
    22579200*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 + 
    540960*ln2^6*sinf^2 - 98784000*s6*sinf^2 + 203212800*li6half*z2 + 
    67737600*li5half*ln2*z2 + 11289600*li4half*ln2^2*z2 - 2195200*ln2^6*z2 + 
    2012572800*s6*z2 + 22579200*li5half*sinf*z2 - 39513600*li4half*ln2*sinf*
     z2 - 7338240*ln2^5*sinf*z2 - 5644800*li4half*sinf^2*z2 - 
    4233600*ln2^4*sinf^2*z2 - 89631360*li4half*z2^2 + 30357600*ln2^4*z2^2 + 
    62657280*ln2^3*sinf*z2^2 + 19615680*ln2^2*sinf^2*z2^2 - 
    59834880*ln2^2*z2^3 + 94620960*ln2*sinf*z2^3 + 19404000*sinf^2*z2^3 + 
    144383256*z2^4 + 1187020800*li5half*z3 - 55036800*li4half*ln2*z3 - 
    10703280*ln2^5*z3 + 43747200*li4half*sinf*z3 + 5527200*ln2^4*sinf*z3 + 
    2469600*ln2^3*sinf^2*z3 + 95390400*ln2^3*z2*z3 - 
    47980800*ln2^2*sinf*z2*z3 - 7408800*ln2*sinf^2*z2*z3 + 
    809270280*ln2*z2^2*z3 + 62208720*sinf*z2^2*z3 + 115938900*ln2^2*z3^2 + 
    369759600*ln2*sinf*z3^2 + 38896200*sinf^2*z3^2 + 679725900*z2*z3^2 + 
    59917200*ln2^3*z5 + 600818400*ln2^2*sinf*z5 + 48510000*ln2*sinf^2*z5 + 
    2042888400*ln2*z2*z5 + 864838800*sinf*z2*z5 - 875125125*z3*z5 - 
    232499925*ln2*z7 - 2409496425*sinf*z7)/11289600, 
 H[1, 1, -1, 1, 0, 0, 1, 1, 1] -> (32256000*li8half + 1344000*li5half*ln2^3 - 
    10400*ln2^8 + 1008000*ln2^2*s6 - 5602275*s8a + 9576000*s8b - 
    2016000*s8c + 11088000*s8d - 24192000*li7half*sinf + 
    4032000*li5half*ln2^2*sinf - 28800*ln2^7*sinf + 5616000*ln2*s6*sinf - 
    5616000*s7a*sinf + 1440000*s7b*sinf + 8064000*li6half*sinf^2 + 
    4032000*li5half*ln2*sinf^2 - 22400*ln2^6*sinf^2 + 2520000*s6*sinf^2 - 
    8064000*li6half*z2 - 8064000*li5half*ln2*z2 + 145600*ln2^6*z2 - 
    29232000*s6*z2 - 4032000*li5half*sinf*z2 + 268800*ln2^5*sinf*z2 + 
    168000*ln2^4*sinf^2*z2 - 11088000*li4half*z2^2 - 1016400*ln2^4*z2^2 - 
    470400*ln2^3*sinf*z2^2 - 100800*ln2^2*sinf^2*z2^2 + 4042800*ln2^2*z2^3 - 
    921600*ln2*sinf*z2^3 - 478800*sinf^2*z2^3 + 4880736*z2^4 - 
    39312000*li5half*z3 - 25200*ln2^5*z3 + 12096000*li4half*sinf*z3 - 
    378000*ln2^4*sinf*z3 - 588000*ln2^3*sinf^2*z3 + 840000*ln2^3*z2*z3 + 
    2268000*ln2^2*sinf*z2*z3 + 1764000*ln2*sinf^2*z2*z3 + 
    466200*ln2*z2^2*z3 + 7120800*sinf*z2^2*z3 + 283500*ln2^2*z3^2 - 
    7020000*ln2*sinf*z3^2 - 3496500*sinf^2*z3^2 + 2520000*z2*z3^2 - 
    1312500*ln2^3*z5 - 10773000*ln2^2*sinf*z5 - 3937500*ln2*sinf^2*z5 + 
    13923000*ln2*z2*z5 - 513000*sinf*z2*z5 + 1480500*z3*z5 - 
    12732750*sinf*z7)/4032000, H[1, 1, -1, 1, 0, 0, 1, 0, 1] -> 
  (5040000*ln2^2*s6 - 15619275*s8a - 29988000*s8b - 10080000*s8c - 
    2016000*s8d - 864000*ln2*s6*sinf + 864000*s7a*sinf - 6192000*s7b*sinf - 
    1008000*s6*sinf^2 - 8064000*li6half*z2 - 11200*ln2^6*z2 + 504000*s6*z2 + 
    4032000*li5half*sinf*z2 - 33600*ln2^5*sinf*z2 - 3427200*li4half*z2^2 + 
    327600*ln2^4*z2^2 + 1142400*ln2^3*sinf*z2^2 + 604800*ln2^2*sinf^2*z2^2 - 
    3187800*ln2^2*z2^3 - 3664800*ln2*sinf*z2^3 - 900600*sinf^2*z2^3 + 
    2165076*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 - 
    12096000*li4half*sinf*z3 - 504000*ln2^4*sinf*z3 + 1134000*ln2^3*z2*z3 + 
    1512000*ln2^2*sinf*z2*z3 - 378000*ln2*sinf^2*z2*z3 + 
    12927600*ln2*z2^2*z3 + 8004600*sinf*z2^2*z3 + 1417500*ln2^2*z3^2 + 
    1080000*ln2*sinf*z3^2 + 1764000*sinf^2*z3^2 + 10111500*z2*z3^2 + 
    535500*ln2^3*z5 + 8442000*ln2^2*sinf*z5 + 1606500*ln2*sinf^2*z5 + 
    27027000*ln2*z2*z5 + 7006500*sinf*z2*z5 - 40587750*z3*z5 - 
    17488125*sinf*z7)/2016000, H[1, 1, -1, 1, 0, 0, 1, -1, 1] -> 
  (42336000*li4half^2 + 169344000*li7half*ln2 + 56448000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 196700*ln2^8 - 
    357336000*ln2^2*s6 + 81648000*ln2*s7a - 165312000*ln2*s7b + 
    668741850*s8a + 3623760000*s8b + 558432000*s8c + 372960000*s8d + 
    338688000*li7half*sinf + 112896000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf + 324800*ln2^7*sinf + 41328000*ln2*s6*sinf - 
    34272000*s7a*sinf + 8064000*s7b*sinf - 28224000*li5half*ln2*sinf^2 + 
    235200*ln2^6*sinf^2 - 56448000*li6half*z2 - 197568000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 568400*ln2^6*z2 - 1215144000*s6*z2 + 
    28224000*li5half*sinf*z2 + 127008000*li4half*ln2*sinf*z2 + 
    1764000*ln2^5*sinf*z2 - 2352000*ln2^4*sinf^2*z2 + 36489600*li4half*z2^2 - 
    1096200*ln2^4*z2^2 - 15758400*ln2^3*sinf*z2^2 - 
    3351600*ln2^2*sinf^2*z2^2 + 110854800*ln2^2*z2^3 + 
    3024000*ln2*sinf*z2^3 - 3351600*sinf^2*z2^3 + 26440416*z2^4 - 
    625968000*li5half*z3 + 5216400*ln2^5*z3 - 84672000*li4half*sinf*z3 - 
    3528000*ln2^4*sinf*z3 - 52164000*ln2^3*z2*z3 + 
    21168000*ln2^2*sinf*z2*z3 - 21168000*ln2*sinf^2*z2*z3 - 
    468631800*ln2*z2^2*z3 + 41605200*sinf*z2^2*z3 + 12946500*ln2^2*z3^2 - 
    64008000*ln2*sinf*z3^2 + 7056000*sinf^2*z3^2 - 587065500*z2*z3^2 + 
    262101000*ln2^3*z5 + 27562500*ln2^2*sinf*z5 + 68575500*ln2*sinf^2*z5 - 
    1299942000*ln2*z2*z5 - 93586500*sinf*z2*z5 + 1126542375*z3*z5 - 
    578379375*ln2*z7 - 257780250*sinf*z7)/28224000, 
 H[1, 1, -1, 1, 0, 0, 0, 1, 1] -> (-69552000*ln2^2*s6 + 197163225*s8a + 
    912744000*s8b + 139104000*s8c + 44352000*s8d + 6048000*ln2*s6*sinf - 
    6048000*s7a*sinf + 106848000*s7b*sinf + 21168000*s6*sinf^2 + 
    112896000*li6half*z2 + 156800*ln2^6*z2 - 265104000*s6*z2 - 
    56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 403200*li4half*z2^2 - 
    3746400*ln2^4*z2^2 - 8467200*ln2^3*sinf*z2^2 - 
    2822400*ln2^2*sinf^2*z2^2 + 27568800*ln2^2*z2^3 + 
    22831200*ln2*sinf*z2^3 + 6518400*sinf^2*z2^3 - 15235224*z2^4 - 
    145152000*li5half*z3 + 1209600*ln2^5*z3 + 84672000*li4half*sinf*z3 + 
    3528000*ln2^4*sinf*z3 - 15624000*ln2^3*z2*z3 - 
    31752000*ln2^2*sinf*z2*z3 - 10584000*ln2*sinf^2*z2*z3 - 
    153354600*ln2*z2^2*z3 - 76582800*sinf*z2^2*z3 - 19561500*ln2^2*z3^2 - 
    7560000*ln2*sinf*z3^2 - 11686500*sinf^2*z3^2 - 147546000*z2*z3^2 - 
    4998000*ln2^3*z5 - 124362000*ln2^2*sinf*z5 - 14994000*ln2*sinf^2*z5 - 
    387324000*ln2*z2*z5 - 372519000*sinf*z2*z5 + 339058125*z3*z5 + 
    768922875*sinf*z7)/28224000, H[1, 1, -1, 1, 0, 0, 0, 0, 1] -> 
  (67200*ln2^2*s6 - 221025*s8a - 2150400*s8b - 134400*s8c - 134400*s8d - 
    134400*s7b*sinf + 739200*s6*z2 - 188160*li4half*z2^2 - 7840*ln2^4*z2^2 + 
    65520*ln2^2*z2^3 + 60480*ln2*sinf*z2^3 + 26640*sinf^2*z2^3 + 56496*z2^4 + 
    138600*ln2*z2^2*z3 + 147840*sinf*z2^2*z3 + 18900*ln2^2*z3^2 - 
    18900*sinf^2*z3^2 + 195300*z2*z3^2 - 21000*ln2^3*z5 + 
    67200*ln2^2*sinf*z5 - 63000*ln2*sinf^2*z5 + 529200*ln2*z2*z5 + 
    730800*sinf*z2*z5 - 230475*z3*z5 - 1874250*sinf*z7)/134400, 
 H[1, 1, -1, 1, 0, 0, 0, -1, 1] -> (483840*li4half^2 + 40320*li4half*ln2^4 + 
    840*ln2^8 - 1612800*ln2^2*s6 + 403200*ln2*s7a + 161280*ln2*s7b + 
    2770110*s8a + 13124160*s8b + 2016000*s8c + 1048320*s8d - 
    11520*ln2*s6*sinf - 391680*s7a*sinf + 1301760*s7b*sinf + 
    322560*s6*sinf^2 + 322560*li6half*z2 - 241920*li4half*ln2^2*z2 - 
    9632*ln2^6*z2 - 3931200*s6*z2 - 161280*li5half*sinf*z2 + 
    1344*ln2^5*sinf*z2 - 153216*li4half*z2^2 + 10080*ln2^4*z2^2 - 
    32256*ln2^3*sinf*z2^2 - 14112*ln2^2*sinf^2*z2^2 + 818640*ln2^2*z2^3 + 
    472896*ln2*sinf*z2^3 + 80400*sinf^2*z2^3 + 190464*z2^4 - 
    2620800*li5half*z3 + 846720*li4half*ln2*z3 + 57120*ln2^5*z3 + 
    362880*li4half*sinf*z3 + 15120*ln2^4*sinf*z3 - 440160*ln2^3*z2*z3 - 
    120960*ln2^2*sinf*z2*z3 - 30240*ln2*sinf^2*z2*z3 - 2442888*ln2*z2^2*z3 - 
    552672*sinf*z2^2*z3 + 146160*ln2^2*z3^2 - 638280*ln2*sinf*z3^2 - 
    143640*sinf^2*z3^2 - 1908900*z2*z3^2 + 54600*ln2^3*z5 - 
    2179800*ln2^2*sinf*z5 - 539280*ln2*sinf^2*z5 - 5435640*ln2*z2*z5 - 
    3537900*sinf*z2*z5 + 3644865*z3*z5 - 2111445*ln2*z7 + 6287850*sinf*z7)/
   161280, H[1, 1, -1, 1, 0, 0, -1, 1, 1] -> 
  (-84672000*li4half^2 - 564480000*li8half + 56448000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 396200*ln2^8 + 
    610848000*ln2^2*s6 - 1355908050*s8a - 7377552000*s8b - 995904000*s8c - 
    796320000*s8d + 225792000*li7half*sinf + 56448000*li5half*ln2^2*sinf - 
    515200*ln2^7*sinf - 334656000*ln2*s6*sinf + 334656000*s7a*sinf - 
    243936000*s7b*sinf - 169344000*li6half*sinf^2 - 235200*ln2^6*sinf^2 - 
    119952000*s6*sinf^2 + 112896000*li6half*z2 + 395136000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 980000*ln2^6*z2 + 2495808000*s6*z2 - 
    56448000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*z2 - 
    4468800*ln2^5*sinf*z2 + 3528000*ln2^4*sinf^2*z2 - 
    155030400*li4half*z2^2 + 3536400*ln2^4*z2^2 + 44217600*ln2^3*sinf*z2^2 + 
    16228800*ln2^2*sinf^2*z2^2 - 214300800*ln2^2*z2^3 + 
    18597600*ln2*sinf*z2^3 + 22831200*sinf^2*z2^3 + 33866712*z2^4 + 
    1239840000*li5half*z3 - 10332000*ln2^5*z3 + 275184000*li4half*sinf*z3 + 
    11466000*ln2^4*sinf*z3 + 103320000*ln2^3*z2*z3 - 
    68796000*ln2^2*sinf*z2*z3 + 42336000*ln2*sinf^2*z2*z3 + 
    962010000*ln2*z2^2*z3 - 36590400*sinf*z2^2*z3 + 153279000*ln2^2*z3^2 + 
    418320000*ln2*sinf*z3^2 + 22050000*sinf^2*z3^2 + 1050777000*z2*z3^2 + 
    77616000*ln2^3*z5 + 670320000*ln2^2*sinf*z5 - 13230000*ln2*sinf^2*z5 + 
    2729727000*ln2*z2*z5 + 624834000*sinf*z2*z5 - 1827567000*z3*z5 - 
    1030388625*sinf*z7)/56448000, H[1, 1, -1, 1, 0, 0, -1, 0, 1] -> 
  (15120000*ln2^2*s6 - 39756150*s8a - 145152000*s8b - 30240000*s8c - 
    2016000*s8d - 18144000*s7b*sinf - 2016000*s6*sinf^2 + 
    28224000*li6half*z2 + 12096000*li5half*ln2*z2 - 61600*ln2^6*z2 + 
    27216000*s6*z2 + 4032000*li5half*sinf*z2 - 33600*ln2^5*sinf*z2 - 
    7963200*li4half*z2^2 + 617400*ln2^4*z2^2 + 1747200*ln2^3*sinf*z2^2 + 
    1058400*ln2^2*sinf^2*z2^2 - 8769600*ln2^2*z2^3 - 7509600*ln2*sinf*z2^3 - 
    1122000*sinf^2*z2^3 - 6594984*z2^4 + 27216000*li5half*z3 - 
    226800*ln2^5*z3 - 18144000*li4half*sinf*z3 - 756000*ln2^4*sinf*z3 + 
    4032000*ln2^3*z2*z3 + 7560000*ln2^2*sinf*z2*z3 + 
    756000*ln2*sinf^2*z2*z3 + 29899800*ln2*z2^2*z3 + 19983600*sinf*z2^2*z3 + 
    4252500*ln2^2*z3^2 + 1512000*sinf^2*z3^2 + 32035500*z2*z3^2 + 
    231000*ln2^3*z5 + 18270000*ln2^2*sinf*z5 + 693000*ln2*sinf^2*z5 + 
    115699500*ln2*z2*z5 + 60070500*sinf*z2*z5 - 79687125*z3*z5 - 
    125779500*sinf*z7)/4032000, H[1, 1, -1, 1, 0, 0, -1, -1, 1] -> 
  (338688000*li4half^2 - 112896000*li8half - 564480000*li7half*ln2 - 
    282240000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 + 618800*ln2^8 - 18144000*ln2^2*s6 + 
    16128000*ln2*s7a + 552384000*ln2*s7b - 298386900*s8a - 788256000*s8b - 
    334656000*s8c + 94752000*s8d - 790272000*li7half*sinf - 
    451584000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf + 
    64512000*ln2*s6*sinf - 177408000*s7a*sinf + 260064000*s7b*sinf - 
    56448000*li6half*sinf^2 - 78400*ln2^6*sinf^2 + 35280000*s6*sinf^2 + 
    282240000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 5488000*ln2^6*z2 - 48384000*s6*z2 + 
    56448000*li4half*ln2*sinf*z2 + 3763200*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 2352000*ln2^4*sinf^2*z2 - 
    154627200*li4half*z2^2 + 11785200*ln2^4*z2^2 + 
    3528000*ln2^2*sinf^2*z2^2 + 66376800*ln2^2*z2^3 + 
    23436000*ln2*sinf*z2^3 + 11995200*sinf^2*z2^3 - 53972064*z2^4 - 
    245952000*li5half*z3 + 409248000*li4half*ln2*z3 + 14162400*ln2^5*z3 - 
    162288000*li4half*sinf*z3 - 19110000*ln2^4*sinf*z3 - 
    8232000*ln2^3*sinf^2*z3 - 65184000*ln2^3*z2*z3 + 
    114660000*ln2^2*sinf*z2*z3 + 24696000*ln2*sinf^2*z2*z3 - 
    113878800*ln2*z2^2*z3 + 12549600*sinf*z2^2*z3 - 17451000*ln2^2*z3^2 - 
    364644000*ln2*sinf*z3^2 - 21168000*sinf^2*z3^2 + 366975000*z2*z3^2 - 
    642684000*ln2^3*z5 - 670320000*ln2^2*sinf*z5 - 123480000*ln2*sinf^2*z5 - 
    265419000*ln2*z2*z5 - 654129000*sinf*z2*z5 - 426195000*z3*z5 + 
    2867240250*ln2*z7 + 1735185375*sinf*z7)/56448000, 
 H[1, 1, -1, 1, 0, -1, 1, 1, 1] -> (12096000*li4half^2 - 999936000*li8half - 
    5376000*li5half*ln2^3 + 1512000*li4half*ln2^4 + 62000*ln2^8 + 
    122976000*ln2^2*s6 - 347739525*s8a - 2153592000*s8b - 245952000*s8c - 
    177408000*s8d + 407232000*li7half*sinf - 14112000*li5half*ln2^2*sinf - 
    672000*li4half*ln2^3*sinf + 8800*ln2^7*sinf - 83232000*ln2*s6*sinf + 
    83232000*s7a*sinf - 120384000*s7b*sinf - 60480000*li6half*sinf^2 - 
    14112000*li5half*ln2*sinf^2 - 2016000*li4half*ln2^2*sinf^2 - 
    50400*ln2^6*sinf^2 - 31248000*s6*sinf^2 + 60480000*li6half*z2 + 
    30240000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 - 341600*ln2^6*z2 + 
    597744000*s6*z2 + 14112000*li5half*sinf*z2 + 2016000*li4half*ln2*sinf*
     z2 - 352800*ln2^5*sinf*z2 + 2016000*li4half*sinf^2*z2 - 
    84000*ln2^4*sinf^2*z2 - 44150400*li4half*z2^2 + 6199200*ln2^4*z2^2 + 
    13759200*ln2^3*sinf*z2^2 + 4964400*ln2^2*sinf^2*z2^2 - 
    5374800*ln2^2*z2^3 + 33444000*ln2*sinf*z2^3 + 7153200*sinf^2*z2^3 + 
    55238436*z2^4 + 326592000*li5half*z3 - 3250800*ln2^5*z3 - 
    3528000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 - 
    882000*ln2^3*sinf^2*z3 + 33390000*ln2^3*z2*z3 + 
    3528000*ln2^2*sinf*z2*z3 + 2646000*ln2*sinf^2*z2*z3 + 
    262558800*ln2*z2^2*z3 + 43783200*sinf*z2^2*z3 + 34587000*ln2^2*z3^2 + 
    104040000*ln2*sinf*z3^2 + 9402750*sinf^2*z3^2 + 254000250*z2*z3^2 - 
    241500*ln2^3*z5 + 211176000*ln2^2*sinf*z5 + 13923000*ln2*sinf^2*z5 + 
    724657500*ln2*z2*z5 + 346068000*sinf*z2*z5 - 243621000*z3*z5 - 
    1003764375*sinf*z7)/4032000, H[1, 1, -1, 1, 0, -1, 1, 0, 1] -> 
  (-1693440*li4half^2 + 180633600*li8half + 3010560*li5half*ln2^3 + 
    423360*li4half*ln2^4 - 28*ln2^8 - 26933760*ln2^2*s6 + 71815590*s8a + 
    452269440*s8b + 53867520*s8c + 38142720*s8d - 108380160*li7half*sinf + 
    9031680*li5half*ln2^2*sinf + 1505280*li4half*ln2^3*sinf + 
    8960*ln2^7*sinf + 27619200*ln2*s6*sinf - 27619200*s7a*sinf + 
    31933440*s7b*sinf + 27095040*li6half*sinf^2 + 
    9031680*li5half*ln2*sinf^2 + 1128960*li4half*ln2^2*sinf^2 + 
    9408*ln2^6*sinf^2 + 14676480*s6*sinf^2 - 74511360*li6half*z2 - 
    18627840*li5half*ln2*z2 + 3104640*li4half*ln2^2*z2 + 165424*ln2^6*z2 - 
    163497600*s6*z2 + 5644800*li5half*sinf*z2 + 3951360*li4half*ln2*sinf*z2 + 
    42336*ln2^5*sinf*z2 - 94080*ln2^4*sinf^2*z2 + 4975488*li4half*z2^2 - 
    1581384*ln2^4*z2^2 - 2996448*ln2^3*sinf*z2^2 - 
    1587600*ln2^2*sinf^2*z2^2 + 9227232*ln2^2*z2^3 - 7114464*ln2*sinf*z2^3 - 
    3303216*sinf^2*z2^3 + 452700*z2^4 - 74027520*li5half*z3 + 
    616896*ln2^5*z3 - 2822400*li4half*sinf*z3 - 117600*ln2^4*sinf*z3 - 
    6827520*ln2^3*z2*z3 - 423360*ln2^2*sinf*z2*z3 - 282240*ln2*sinf^2*z2*z3 - 
    56041776*ln2*z2^2*z3 - 6647760*sinf*z2^2*z3 - 7575120*ln2^2*z3^2 - 
    34524000*ln2*sinf*z3^2 - 5221440*sinf^2*z3^2 - 41723640*z2*z3^2 - 
    3216360*ln2^3*z5 - 67340700*ln2^2*sinf*z5 - 9649080*ln2*sinf^2*z5 - 
    146405700*ln2*z2*z5 - 102086460*sinf*z2*z5 + 54214020*z3*z5 + 
    255649275*sinf*z7)/1128960, H[1, 1, -1, 1, 0, -1, 1, -1, 1] -> 
  (814464000*li8half + 17740800*li7half*ln2 - 4838400*li6half*ln2^2 + 
    3225600*li5half*ln2^3 - 604800*li4half*ln2^4 - 42120*ln2^8 - 
    119318400*ln2^2*s6 + 5817600*ln2*s7a - 3859200*ln2*s7b + 319446225*s8a + 
    1967918400*s8b + 222969600*s8c + 182246400*s8d - 299980800*li7half*sinf - 
    9676800*li6half*ln2*sinf + 8870400*li5half*ln2^2*sinf - 
    806400*li4half*ln2^3*sinf - 61440*ln2^7*sinf + 64051200*ln2*s6*sinf - 
    68083200*s7a*sinf + 89971200*s7b*sinf + 38707200*li6half*sinf^2 + 
    8870400*li5half*ln2*sinf^2 - 20160*ln2^6*sinf^2 + 20966400*s6*sinf^2 - 
    33868800*li6half*z2 - 18547200*li5half*ln2*z2 - 
    3628800*li4half*ln2^2*z2 + 287840*ln2^6*z2 - 586051200*s6*z2 - 
    8870400*li5half*sinf*z2 + 2419200*li4half*ln2*sinf*z2 + 
    873600*ln2^5*sinf*z2 + 537600*ln2^4*sinf^2*z2 + 35844480*li4half*z2^2 - 
    5653200*ln2^4*z2^2 - 12606720*ln2^3*sinf*z2^2 - 
    3709440*ln2^2*sinf^2*z2^2 + 18054720*ln2^2*z2^3 - 
    22109760*ln2*sinf*z2^3 - 4426560*sinf^2*z2^3 - 50124672*z2^4 - 
    348566400*li5half*z3 + 3024000*li4half*ln2*z3 + 3030720*ln2^5*z3 - 
    1209600*li4half*sinf*z3 - 50400*ln2^4*sinf*z3 - 29803200*ln2^3*z2*z3 + 
    4536000*ln2^2*sinf*z2*z3 - 248307480*ln2*z2^2*z3 - 
    24425280*sinf*z2^2*z3 - 25179300*ln2^2*z3^2 - 87296400*ln2*sinf*z3^2 - 
    7862400*sinf^2*z3^2 - 235185300*z2*z3^2 + 7778400*ln2^3*z5 - 
    163762200*ln2^2*sinf*z5 - 10647000*ln2*sinf^2*z5 - 641835000*ln2*z2*z5 - 
    258582600*sinf*z2*z5 + 292063275*z3*z5 - 18000225*ln2*z7 + 
    715940550*sinf*z7)/1612800, H[1, 1, -1, 1, 0, -1, 0, 1, 1] -> 
  (592704000*li4half^2 - 1128960000*li8half - 75264000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 452200*ln2^8 - 202608000*ln2^2*s6 + 
    10711575*s8a - 1473192000*s8b + 405216000*s8c - 772128000*s8d + 
    903168000*li7half*sinf - 225792000*li5half*ln2^2*sinf - 
    75264000*li4half*ln2^3*sinf - 1433600*ln2^7*sinf - 
    276192000*ln2*s6*sinf + 276192000*s7a*sinf - 34272000*s7b*sinf - 
    338688000*li6half*sinf^2 - 225792000*li5half*ln2*sinf^2 - 
    56448000*li4half*ln2^2*sinf^2 - 940800*ln2^6*sinf^2 - 
    127008000*s6*sinf^2 - 677376000*li6half*z2 + 395136000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 2077600*ln2^6*z2 + 1459584000*s6*z2 + 
    846720000*li5half*sinf*z2 + 395136000*li4half*ln2*sinf*z2 + 
    13171200*ln2^5*sinf*z2 - 56448000*li4half*sinf^2*z2 - 
    479001600*li4half*z2^2 - 14019600*ln2^4*z2^2 - 29635200*ln2^3*sinf*z2^2 + 
    13053600*ln2^2*sinf^2*z2^2 + 216165600*ln2^2*z2^3 + 
    224028000*ln2*sinf*z2^3 + 63252000*sinf^2*z2^3 + 536157432*z2^4 - 
    57456000*li5half*z3 + 478800*ln2^5*z3 - 49392000*li4half*sinf*z3 - 
    2058000*ln2^4*sinf*z3 - 35364000*ln2^3*z2*z3 - 
    79380000*ln2^2*sinf*z2*z3 - 91728000*ln2*sinf^2*z2*z3 - 
    443683800*ln2*z2^2*z3 - 52416000*sinf*z2^2*z3 - 56983500*ln2^2*z3^2 + 
    345240000*ln2*sinf*z3^2 + 76293000*sinf^2*z3^2 - 145372500*z2*z3^2 + 
    72324000*ln2^3*z5 + 517734000*ln2^2*sinf*z5 + 216972000*ln2*sinf^2*z5 - 
    2059722000*ln2*z2*z5 - 851886000*sinf*z2*z5 + 364289625*z3*z5 - 
    382858875*sinf*z7)/56448000, H[1, 1, -1, 1, 0, -1, 0, 0, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    15792000*ln2^2*s6 + 16568475*s8a + 5376000*s8b - 31584000*s8c + 
    50400000*s8d - 5376000*ln2*s6*sinf + 5376000*s7a*sinf + 
    10080000*s7b*sinf - 4704000*s6*sinf^2 + 112896000*li6half*z2 + 
    14112000*li4half*ln2^2*z2 + 744800*ln2^6*z2 - 16128000*s6*z2 - 
    75264000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1724800*ln2^5*sinf*z2 - 9408000*li4half*sinf^2*z2 - 
    392000*ln2^4*sinf^2*z2 + 79228800*li4half*z2^2 + 1478400*ln2^4*z2^2 + 
    4547200*ln2^3*sinf*z2^2 - 117600*ln2^2*sinf^2*z2^2 - 
    12793200*ln2^2*z2^3 + 8870400*ln2*sinf*z2^3 + 4858000*sinf^2*z2^3 - 
    55037264*z2^4 + 70896000*li5half*z3 - 590800*ln2^5*z3 + 
    44688000*li4half*sinf*z3 + 1862000*ln2^4*sinf*z3 - 2324000*ln2^3*z2*z3 - 
    25284000*ln2^2*sinf*z2*z3 - 3528000*ln2*sinf^2*z2*z3 + 
    48463800*ln2*z2^2*z3 - 30710400*sinf*z2^2*z3 + 4441500*ln2^2*z3^2 + 
    6720000*ln2*sinf*z3^2 - 441000*sinf^2*z3^2 - 17398500*z2*z3^2 + 
    1029000*ln2^3*z5 - 1470000*ln2^2*sinf*z5 + 3087000*ln2*sinf^2*z5 + 
    88578000*ln2*z2*z5 + 64470000*sinf*z2*z5 + 22299375*z3*z5 + 
    20312250*sinf*z7)/9408000, H[1, 1, -1, 1, 0, -1, 0, -1, 1] -> 
  (-90316800*li4half^2 + 270950400*li8half + 45158400*li7half*ln2 + 
    22579200*li6half*ln2^2 + 15052800*li5half*ln2^3 - 1881600*li4half*ln2^4 - 
    17920*ln2^8 - 76809600*ln2^2*s6 - 47980800*ln2*s7a - 59270400*ln2*s7b + 
    244958175*s8a + 1054065600*s8b + 243936000*s8c - 23788800*s8d - 
    135475200*li7half*sinf + 45158400*li6half*ln2*sinf + 
    45158400*li5half*ln2^2*sinf + 15052800*li4half*ln2^3*sinf + 
    340480*ln2^7*sinf + 7257600*ln2*s6*sinf - 12902400*s7a*sinf + 
    128217600*s7b*sinf + 90316800*li6half*sinf^2 + 
    45158400*li5half*ln2*sinf^2 + 11289600*li4half*ln2^2*sinf^2 + 
    219520*ln2^6*sinf^2 + 45158400*s6*sinf^2 - 214502400*li6half*z2 - 
    95961600*li5half*ln2*z2 + 8467200*li4half*ln2^2*z2 + 227360*ln2^6*z2 - 
    144345600*s6*z2 + 16934400*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 - 2822400*ln2^5*sinf*z2 - 22579200*li4half*sinf^2*z2 - 
    1881600*ln2^4*sinf^2*z2 + 27699840*li4half*z2^2 - 1139040*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 + 1058400*ln2^2*sinf^2*z2^2 + 
    28506240*ln2^2*z2^3 + 23405760*ln2*sinf*z2^3 - 3719520*sinf^2*z2^3 + 
    74272752*z2^4 + 51811200*li5half*z3 - 69148800*li4half*ln2*z3 - 
    1337280*ln2^5*z3 + 98784000*li4half*sinf*z3 + 9055200*ln2^4*sinf*z3 + 
    3292800*ln2^3*sinf^2*z3 - 4502400*ln2^3*z2*z3 - 
    63504000*ln2^2*sinf*z2*z3 - 19051200*ln2*sinf^2*z2*z3 - 
    113704920*ln2*z2^2*z3 - 85266720*sinf*z2^2*z3 - 80255700*ln2^2*z3^2 + 
    11919600*ln2*sinf*z3^2 - 12171600*sinf^2*z3^2 - 203282100*z2*z3^2 - 
    3528000*ln2^3*z5 - 180104400*ln2^2*sinf*z5 - 43394400*ln2*sinf^2*z5 - 
    511572600*ln2*z2*z5 - 412183800*sinf*z2*z5 + 31177125*z3*z5 - 
    605151225*ln2*z7 + 864627750*sinf*z7)/11289600, 
 H[1, 1, -1, 1, 0, -1, -1, 1, 1] -> 
  (338688000*li4half^2 - 13378176000*li8half + 84672000*li6half*ln2^2 - 
    169344000*li5half*ln2^3 - 7056000*li4half*ln2^4 + 315000*ln2^8 + 
    1655136000*ln2^2*s6 - 5082754950*s8a - 31283280000*s8b - 3338496000*s8c - 
    3124800000*s8d + 4910976000*li7half*sinf - 366912000*li5half*ln2^2*sinf - 
    65856000*li4half*ln2^3*sinf - 660800*ln2^7*sinf - 
    1094688000*ln2*s6*sinf + 1094688000*s7a*sinf - 1445472000*s7b*sinf - 
    592704000*li6half*sinf^2 - 197568000*li5half*ln2*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 352800*ln2^6*sinf^2 - 
    282240000*s6*sinf^2 + 508032000*li6half*z2 + 733824000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 - 3763200*ln2^6*z2 + 9777600000*s6*z2 + 
    366912000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 - 
    6115200*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 - 
    6468000*ln2^4*sinf^2*z2 - 750556800*li4half*z2^2 + 65511600*ln2^4*z2^2 + 
    140649600*ln2^3*sinf*z2^2 + 30693600*ln2^2*sinf^2*z2^2 - 
    159667200*ln2^2*z2^3 + 387424800*ln2*sinf*z2^3 + 66679200*sinf^2*z2^3 + 
    1000780128*z2^4 + 5304096000*li5half*z3 - 36792000*ln2^5*z3 - 
    176400000*li4half*sinf*z3 + 11172000*ln2^4*sinf*z3 + 
    12348000*ln2^3*sinf^2*z3 + 392616000*ln2^3*z2*z3 - 
    67032000*ln2^2*sinf*z2*z3 + 3719142000*ln2*z2^2*z3 + 
    470610000*sinf*z2^2*z3 + 511812000*ln2^2*z3^2 + 
    1368360000*ln2*sinf*z3^2 + 101209500*sinf^2*z3^2 + 3611002500*z2*z3^2 + 
    354270000*ln2^3*z5 + 2990421000*ln2^2*sinf*z5 + 201537000*ln2*sinf^2*z5 + 
    8956206000*ln2*z2*z5 + 3795813000*sinf*z2*z5 - 4462652250*z3*z5 - 
    11379083625*sinf*z7)/56448000, H[1, 1, -1, 1, 0, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    47712000*ln2^2*s6 - 57493275*s8a - 234696000*s8b - 95424000*s8c + 
    53088000*s8d + 3024000*ln2*s6*sinf - 3024000*s7a*sinf - 
    28896000*s7b*sinf - 4704000*s6*sinf^2 - 14112000*li6half*z2 - 
    79968000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 58800*ln2^6*z2 - 
    110880000*s6*z2 - 56448000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*
     z2 - 117600*ln2^5*sinf*z2 + 26846400*li4half*z2^2 + 187600*ln2^4*z2^2 - 
    784000*ln2^3*sinf*z2^2 + 294000*ln2^2*sinf^2*z2^2 - 26485200*ln2^2*z2^3 - 
    18866400*ln2*sinf*z2^3 - 714000*sinf^2*z2^3 - 49914324*z2^4 + 
    12600000*li5half*z3 - 105000*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    147000*ln2^4*sinf*z3 + 16142000*ln2^3*z2*z3 + 24990000*ln2^2*sinf*z2*z3 + 
    6468000*ln2*sinf^2*z2*z3 + 67137000*ln2*z2^2*z3 + 11159400*sinf*z2^2*z3 + 
    13419000*ln2^2*z3^2 - 3780000*ln2*sinf*z3^2 + 698250*sinf^2*z3^2 + 
    92258250*z2*z3^2 - 1298500*ln2^3*z5 + 21168000*ln2^2*sinf*z5 - 
    3895500*ln2*sinf^2*z5 + 492292500*ln2*z2*z5 + 173376000*sinf*z2*z5 - 
    27591375*z3*z5 - 221775750*sinf*z7)/9408000, 
 H[1, 1, -1, 1, 0, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 677376000*li8half - 282240000*li7half*ln2 + 
    197568000*li6half*ln2^2 + 131712000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 - 49000*ln2^8 + 254016000*ln2^2*s6 - 
    104832000*ln2*s7a + 50400000*ln2*s7b + 23012325*s8a - 378504000*s8b + 
    26208000*s8c - 82656000*s8d + 225792000*li7half*sinf + 
    564480000*li6half*ln2*sinf + 254016000*li5half*ln2^2*sinf + 
    28224000*li4half*ln2^3*sinf - 201600*ln2^7*sinf + 310464000*ln2*s6*sinf - 
    14112000*s7a*sinf + 112896000*s7b*sinf + 197568000*li6half*sinf^2 + 
    84672000*li5half*ln2*sinf^2 - 431200*ln2^6*sinf^2 + 134064000*s6*sinf^2 - 
    479808000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 2430400*ln2^6*z2 - 88704000*s6*z2 - 
    84672000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 + 
    2822400*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 + 
    2352000*ln2^4*sinf^2*z2 + 403200*li4half*z2^2 - 12213600*ln2^4*z2^2 - 
    7526400*ln2^3*sinf*z2^2 - 2116800*ln2^2*sinf^2*z2^2 + 
    6552000*ln2^2*z2^3 + 10080000*ln2*sinf*z2^3 - 12096000*sinf^2*z2^3 + 
    137107512*z2^4 + 355824000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    9374400*ln2^5*z3 + 91728000*li4half*sinf*z3 - 8526000*ln2^4*sinf*z3 - 
    8232000*ln2^3*sinf^2*z3 + 59052000*ln2^3*z2*z3 - 
    22932000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 + 
    74705400*ln2*z2^2*z3 - 76734000*sinf*z2^2*z3 - 223366500*ln2^2*z3^2 - 
    110250000*ln2*sinf*z3^2 - 47187000*sinf^2*z3^2 + 90814500*z2*z3^2 - 
    486423000*ln2^3*z5 - 597996000*ln2^2*sinf*z5 - 146853000*ln2*sinf^2*z5 + 
    390285000*ln2*z2*z5 - 188748000*sinf*z2*z5 - 200615625*z3*z5 - 
    293887125*ln2*z7 + 286760250*sinf*z7)/56448000, 
 H[1, 1, -1, 1, -1, 1, 1, 1, 1] -> (42336000*li4half^2 - 451584000*li8half - 
    18816000*li5half*ln2^3 + 86800*ln2^8 - 94752000*ln2^2*s6 + 
    206113950*s8a + 73584000*s8b + 189504000*s8c - 189504000*s8d + 
    282240000*li7half*sinf - 56448000*li5half*ln2^2*sinf - 
    9408000*li4half*ln2^3*sinf + 56000*ln2^7*sinf - 68544000*ln2*s6*sinf + 
    68544000*s7a*sinf + 26208000*s7b*sinf - 98784000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 - 7056000*li4half*ln2^2*sinf^2 + 
    58800*ln2^6*sinf^2 - 31752000*s6*sinf^2 + 98784000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 - 1313200*ln2^6*z2 + 
    410760000*s6*z2 + 56448000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 - 1176000*ln2^5*sinf*z2 + 7056000*li4half*sinf^2*z2 - 
    882000*ln2^4*sinf^2*z2 - 44956800*li4half*z2^2 + 478800*ln2^4*z2^2 - 
    3057600*ln2^3*sinf*z2^2 - 1587600*ln2^2*sinf^2*z2^2 + 
    33742800*ln2^2*z2^3 + 35229600*ln2*sinf*z2^3 + 9273600*sinf^2*z2^3 + 
    45562032*z2^4 + 280224000*li5half*z3 + 2368800*ln2^5*z3 - 
    49392000*li4half*sinf*z3 + 7350000*ln2^4*sinf*z3 + 
    4704000*ln2^3*sinf^2*z3 - 28392000*ln2^3*z2*z3 - 
    44100000*ln2^2*sinf*z2*z3 - 14112000*ln2*sinf^2*z2*z3 - 
    195526800*ln2*z2^2*z3 - 73684800*sinf*z2^2*z3 - 26649000*ln2^2*z3^2 + 
    85680000*ln2*sinf*z3^2 + 24255000*sinf^2*z3^2 - 145656000*z2*z3^2 + 
    18816000*ln2^3*z5 + 97461000*ln2^2*sinf*z5 + 56448000*ln2*sinf^2*z5 - 
    681408000*ln2*z2*z5 - 132111000*sinf*z2*z5 + 219444750*z3*z5 + 
    187180875*sinf*z7)/28224000, H[1, 1, -1, 1, -1, 1, 1, 0, 1] -> 
  (42336000*li4half^2 + 225792000*li8half + 2352000*li5half*ln2^3 + 
    5292000*li4half*ln2^4 + 133000*ln2^8 + 47376000*ln2^2*s6 - 
    103056975*s8a - 36792000*s8b - 94752000*s8c + 94752000*s8d - 
    56448000*li7half*sinf + 7056000*li5half*ln2^2*sinf + 
    4704000*li4half*ln2^3*sinf + 148400*ln2^7*sinf + 59976000*ln2*s6*sinf - 
    59976000*s7a*sinf - 49392000*s7b*sinf + 7056000*li6half*sinf^2 + 
    7056000*li5half*ln2*sinf^2 + 3528000*li4half*ln2^2*sinf^2 + 
    98000*ln2^6*sinf^2 + 10584000*s6*sinf^2 - 49392000*li6half*z2 - 
    14112000*li5half*ln2*z2 - 3528000*li4half*ln2^2*z2 - 254800*ln2^6*z2 - 
    189504000*s6*z2 + 35280000*li5half*sinf*z2 + 49392000*li4half*ln2*sinf*
     z2 + 1352400*ln2^5*sinf*z2 + 7056000*li4half*sinf^2*z2 - 
    11390400*li4half*z2^2 - 3385200*ln2^4*z2^2 - 9584400*ln2^3*sinf*z2^2 - 
    1411200*ln2^2*sinf^2*z2^2 - 9550800*ln2^2*z2^3 - 11869200*ln2*sinf*z2^3 + 
    882000*sinf^2*z2^3 - 22251816*z2^4 - 219492000*li5half*z3 + 
    1740900*ln2^5*z3 - 44100000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 - 
    147000*ln2^3*sinf^2*z3 + 18165000*ln2^3*z2*z3 + 
    59976000*ln2^2*sinf*z2*z3 + 10584000*ln2*sinf^2*z2*z3 + 
    47930400*ln2*z2^2*z3 + 73558800*sinf*z2^2*z3 + 11560500*ln2^2*z3^2 - 
    78498000*ln2*sinf*z3^2 - 14222250*sinf^2*z3^2 + 120566250*z2*z3^2 - 
    9187500*ln2^3*z5 - 37815750*ln2^2*sinf*z5 - 27562500*ln2*sinf^2*z5 + 
    339381000*ln2*z2*z5 + 167249250*sinf*z2*z5 - 103493250*z3*z5 - 
    484659000*sinf*z7)/14112000, H[1, 1, -1, 1, -1, 1, 1, -1, 1] -> 
  (423360000*li8half + 14112000*li5half*ln2^3 - 121800*ln2^8 + 
    39312000*ln2^2*s6 - 1508850*s8a + 553392000*s8b - 78624000*s8c + 
    184464000*s8d - 254016000*li7half*sinf + 42336000*li5half*ln2^2*sinf - 
    336000*ln2^7*sinf + 63504000*ln2*s6*sinf - 63504000*s7a*sinf + 
    84672000*s7b*sinf + 84672000*li6half*sinf^2 + 
    42336000*li5half*ln2*sinf^2 - 254800*ln2^6*sinf^2 + 84672000*s6*sinf^2 - 
    84672000*li6half*z2 - 84672000*li5half*ln2*z2 + 1901200*ln2^6*z2 - 
    506520000*s6*z2 - 42336000*li5half*sinf*z2 + 3528000*ln2^5*sinf*z2 + 
    2058000*ln2^4*sinf^2*z2 + 36892800*li4half*z2^2 - 3166800*ln2^4*z2^2 - 
    2822400*ln2^3*sinf*z2^2 - 176400*ln2^2*sinf^2*z2^2 - 3880800*ln2^2*z2^3 + 
    3074400*ln2*sinf*z2^3 + 176400*sinf^2*z2^3 - 68175396*z2^4 - 
    294840000*li5half*z3 - 3481800*ln2^5*z3 - 12495000*ln2^4*sinf*z3 - 
    6762000*ln2^3*sinf^2*z3 + 41580000*ln2^3*z2*z3 + 
    74970000*ln2^2*sinf*z2*z3 + 20286000*ln2*sinf^2*z2*z3 + 
    92005200*ln2*z2^2*z3 + 970200*sinf*z2^2*z3 - 41863500*ln2^2*z3^2 - 
    185220000*ln2*sinf*z3^2 - 36823500*sinf^2*z3^2 + 113652000*z2*z3^2 - 
    52993500*ln2^3*z5 - 302526000*ln2^2*sinf*z5 - 158980500*ln2*sinf^2*z5 + 
    553833000*ln2*z2*z5 - 94374000*sinf*z2*z5 - 52156125*z3*z5 - 
    508032000*ln2*z7 + 375732000*sinf*z7)/28224000, 
 H[1, 1, -1, 1, -1, 1, 0, 1, 1] -> 
  (-169344000*li4half^2 + 1072512000*li8half + 37632000*li5half*ln2^3 + 
    7000*ln2^8 - 12096000*ln2^2*s6 + 140244300*s8a + 1261008000*s8b + 
    24192000*s8c + 229824000*s8d - 620928000*li7half*sinf + 
    112896000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    750400*ln2^7*sinf + 44352000*ln2*s6*sinf - 44352000*s7a*sinf + 
    139104000*s7b*sinf + 183456000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    490000*ln2^6*sinf^2 + 67032000*s6*sinf^2 - 268128000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 411600*ln2^6*z2 - 
    632520000*s6*z2 - 112896000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*
     z2 - 5409600*ln2^5*sinf*z2 - 28224000*li4half*sinf^2*z2 - 
    2058000*ln2^4*sinf^2*z2 + 74188800*li4half*z2^2 + 1562400*ln2^4*z2^2 + 
    8702400*ln2^3*sinf*z2^2 + 3704400*ln2^2*sinf^2*z2^2 - 
    22957200*ln2^2*z2^3 - 47628000*ln2*sinf*z2^3 - 16430400*sinf^2*z2^3 - 
    90647712*z2^4 - 262080000*li5half*z3 + 2536800*ln2^5*z3 + 
    197568000*li4half*sinf*z3 + 9114000*ln2^4*sinf*z3 + 
    588000*ln2^3*sinf^2*z3 - 5964000*ln2^3*z2*z3 - 
    22932000*ln2^2*sinf*z2*z3 + 1764000*ln2*sinf^2*z2*z3 - 
    94500000*ln2*z2^2*z3 - 118490400*sinf*z2^2*z3 + 3654000*ln2^2*z3^2 - 
    41328000*ln2*sinf*z3^2 - 25798500*sinf^2*z3^2 - 15718500*z2*z3^2 - 
    35868000*ln2^3*z5 - 285327000*ln2^2*sinf*z5 - 107604000*ln2*sinf^2*z5 + 
    142632000*ln2*z2*z5 - 255591000*sinf*z2*z5 + 89491500*z3*z5 + 
    1251313875*sinf*z7)/28224000, H[1, 1, -1, 1, -1, 1, 0, 0, 1] -> 
  (-32256000*li8half - 800*ln2^8 - 15120000*ln2^2*s6 + 39173400*s8a + 
    127008000*s8b + 30240000*s8c - 3024000*s8d + 8064000*li7half*sinf - 
    1600*ln2^7*sinf - 144000*ln2*s6*sinf + 144000*s7a*sinf + 
    9216000*s7b*sinf + 12096000*li6half*z2 + 39200*ln2^6*z2 - 
    10584000*s6*z2 + 33600*ln2^5*sinf*z2 - 604800*li4half*z2^2 - 
    638400*ln2^4*z2^2 - 823200*ln2^3*sinf*z2^2 - 478800*ln2^2*sinf^2*z2^2 + 
    4449600*ln2^2*z2^3 + 1857600*ln2*sinf*z2^3 - 320400*sinf^2*z2^3 + 
    3384684*z2^4 + 6048000*li5half*z3 + 100800*ln2^5*z3 + 
    378000*ln2^4*sinf*z3 + 252000*ln2^3*sinf^2*z3 - 3612000*ln2^3*z2*z3 - 
    6300000*ln2^2*sinf*z2*z3 - 1764000*ln2*sinf^2*z2*z3 - 
    30756600*ln2*z2^2*z3 - 10738800*sinf*z2^2*z3 - 1228500*ln2^2*z3^2 + 
    6228000*ln2*sinf*z3^2 + 1386000*sinf^2*z3^2 - 37831500*z2*z3^2 + 
    1260000*ln2^3*z5 - 5008500*ln2^2*sinf*z5 + 3780000*ln2*sinf^2*z5 - 
    98280000*ln2*z2*z5 - 35167500*sinf*z2*z5 + 64323000*z3*z5 + 
    76393125*sinf*z7)/4032000, H[1, 1, -1, 1, -1, 1, 0, -1, 1] -> 
  (-169344000*li4half^2 + 2342592000*li8half + 28224000*li7half*ln2 - 
    42336000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 25900*ln2^8 - 
    94248000*ln2^2*s6 + 5040000*ln2*s7a + 110880000*ln2*s7b + 496827450*s8a + 
    3592512000*s8b + 199584000*s8c + 442512000*s8d - 
    1157184000*li7half*sinf - 84672000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    739200*ln2^7*sinf + 197568000*ln2*s6*sinf - 176400000*s7a*sinf + 
    197568000*s7b*sinf + 225792000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    548800*ln2^6*sinf^2 + 56448000*s6*sinf^2 - 225792000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 431200*ln2^6*z2 - 
    1262520000*s6*z2 - 112896000*li5half*sinf*z2 - 
    112896000*li4half*ln2*sinf*z2 - 6350400*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 3234000*ln2^4*sinf^2*z2 + 
    116726400*li4half*z2^2 - 10747800*ln2^4*z2^2 - 11524800*ln2^3*sinf*z2^2 - 
    4586400*ln2^2*sinf^2*z2^2 - 52365600*ln2^2*z2^3 - 
    127310400*ln2*sinf*z2^3 - 30265200*sinf^2*z2^3 - 217195128*z2^4 - 
    687456000*li5half*z3 + 10315200*ln2^5*z3 + 197568000*li4half*sinf*z3 + 
    19698000*ln2^4*sinf*z3 + 7644000*ln2^3*sinf^2*z3 - 
    100800000*ln2^3*z2*z3 - 102312000*ln2^2*sinf*z2*z3 - 
    21168000*ln2*sinf^2*z2*z3 - 507565800*ln2*z2^2*z3 - 
    159994800*sinf*z2^2*z3 + 70623000*ln2^2*z3^2 - 35721000*ln2*sinf*z3^2 - 
    15876000*sinf^2*z3^2 - 342625500*z2*z3^2 - 103120500*ln2^3*z5 - 
    364045500*ln2^2*sinf*z5 - 1764000*ln2*sinf^2*z5 - 924241500*ln2*z2*z5 - 
    564700500*sinf*z2*z5 + 643434750*z3*z5 + 1070944875*ln2*z7 + 
    2283939000*sinf*z7)/28224000, H[1, 1, -1, 1, -1, 1, -1, 1, 1] -> 
  (21168000*li8half - 3150*ln2^8 + 2268000*ln2^2*s6 - 5962950*s8a - 
    28728000*s8b - 4536000*s8c - 756000*s8d - 8400*ln2^7*sinf - 
    4900*ln2^6*sinf^2 + 93100*ln2^6*z2 + 4158000*s6*z2 + 
    176400*ln2^5*sinf*z2 + 73500*ln2^4*sinf^2*z2 - 151200*li4half*z2^2 + 
    140700*ln2^4*z2^2 + 176400*ln2^3*sinf*z2^2 - 44100*ln2^2*sinf^2*z2^2 - 
    1575000*ln2^2*z2^3 + 831600*ln2*sinf*z2^3 + 31500*sinf^2*z2^3 - 
    2626857*z2^4 + 1512000*li5half*z3 - 571200*ln2^5*z3 - 
    808500*ln2^4*sinf*z3 - 147000*ln2^3*sinf^2*z3 + 5859000*ln2^3*z2*z3 + 
    4851000*ln2^2*sinf*z2*z3 + 441000*ln2*sinf^2*z2*z3 + 
    7796250*ln2*z2^2*z3 + 44100*sinf*z2^2*z3 - 8182125*ln2^2*z3^2 - 
    3528000*ln2*sinf*z3^2 - 110250*sinf^2*z3^2 + 13159125*z2*z3^2 - 
    4924500*ln2^3*z5 - 7717500*ln2^2*sinf*z5 - 661500*ln2*sinf^2*z5 + 
    29043000*ln2*z2*z5 + 7717500*sinf*z2*z5 - 28783125*z3*z5 - 
    13119750*sinf*z7)/7056000, H[1, 1, -1, 1, -1, 1, -1, 0, 1] -> 
  (-84672000*li8half - 2100*ln2^8 - 10886400*ln2^2*s6 + 21782250*s8a + 
    25704000*s8b + 21772800*s8c - 13305600*s8d + 16934400*li7half*sinf - 
    3360*ln2^7*sinf + 604800*ln2*s6*sinf - 604800*s7a*sinf + 
    3628800*s7b*sinf - 39200*ln2^6*z2 + 22377600*s6*z2 - 
    94080*ln2^5*sinf*z2 - 58800*ln2^4*sinf^2*z2 - 2661120*li4half*z2^2 + 
    288960*ln2^4*z2^2 + 70560*ln2^3*sinf*z2^2 - 141120*ln2^2*sinf^2*z2^2 + 
    7907760*ln2^2*z2^3 + 2298240*ln2*sinf*z2^3 - 166320*sinf^2*z2^3 + 
    12353688*z2^4 + 26611200*li5half*z3 + 60480*ln2^5*z3 + 
    705600*ln2^4*sinf*z3 + 470400*ln2^3*sinf^2*z3 - 6602400*ln2^3*z2*z3 - 
    8467200*ln2^2*sinf*z2*z3 - 1764000*ln2*sinf^2*z2*z3 - 
    19182240*ln2*z2^2*z3 - 4500720*sinf*z2^2*z3 + 2583000*ln2^2*z3^2 + 
    10533600*ln2*sinf*z3^2 + 705600*sinf^2*z3^2 - 30706200*z2*z3^2 + 
    940800*ln2^3*z5 - 1278900*ln2^2*sinf*z5 + 2822400*ln2*sinf^2*z5 - 
    87897600*ln2*z2*z5 - 20317500*sinf*z2*z5 + 44821350*z3*z5 + 
    27406575*sinf*z7)/5644800, H[1, 1, -1, 1, -1, 1, -1, -1, 1] -> 
  (-18144000*li4half^2 + 2016000*li5half*ln2^3 + 16800*ln2^8 + 7257600*s8a - 
    12096000*li7half*sinf + 6048000*li5half*ln2^2*sinf + 
    4032000*li4half*ln2^3*sinf + 124800*ln2^7*sinf - 432000*ln2*s6*sinf + 
    432000*s7a*sinf - 2592000*s7b*sinf + 6048000*li6half*sinf^2 + 
    6048000*li5half*ln2*sinf^2 + 3024000*li4half*ln2^2*sinf^2 + 
    86800*ln2^6*sinf^2 - 1512000*s6*sinf^2 - 6048000*li6half*z2 - 
    12096000*li5half*ln2*z2 - 3024000*li4half*ln2^2*z2 - 305200*ln2^6*z2 + 
    1512000*s6*z2 - 6048000*li5half*sinf*z2 - 12096000*li4half*ln2*sinf*z2 - 
    1108800*ln2^5*sinf*z2 - 3024000*li4half*sinf^2*z2 - 
    546000*ln2^4*sinf^2*z2 + 3024000*li4half*z2^2 + 1050000*ln2^4*z2^2 + 
    2419200*ln2^3*sinf*z2^2 + 781200*ln2^2*sinf^2*z2^2 - 1105200*ln2^2*z2^3 - 
    2390400*ln2*sinf*z2^3 - 748800*sinf^2*z2^3 - 2817504*z2^4 + 
    10584000*li5half*z3 + 760200*ln2^5*z3 + 21168000*li4half*sinf*z3 + 
    2667000*ln2^4*sinf*z3 + 966000*ln2^3*sinf^2*z3 - 8568000*ln2^3*z2*z3 - 
    16002000*ln2^2*sinf*z2*z3 - 2898000*ln2*sinf^2*z2*z3 - 
    11201400*ln2*z2^2*z3 - 10405800*sinf*z2^2*z3 + 15624000*ln2^2*z3^2 + 
    23724000*ln2*sinf*z3^2 + 1291500*sinf^2*z3^2 - 12883500*z2*z3^2 + 
    3790500*ln2^3*z5 + 10269000*ln2^2*sinf*z5 + 3307500*ln2*sinf^2*z5 - 
    10647000*ln2*z2*z5 + 4401000*sinf*z2*z5 + 43084125*z3*z5 + 
    39564000*ln2*z7 + 23452875*sinf*z7)/4032000, 
 H[1, 1, -1, 1, -1, 0, 1, 1, 1] -> 
  (1016064000*li8half + 28224000*li5half*ln2^3 - 210000*ln2^8 + 
    167328000*ln2^2*s6 - 428702400*s8a - 548352000*s8b - 334656000*s8c + 
    249984000*s8d - 677376000*li7half*sinf + 84672000*li5half*ln2^2*sinf - 
    571200*ln2^7*sinf + 213696000*ln2*s6*sinf - 213696000*s7a*sinf - 
    86688000*s7b*sinf + 197568000*li6half*sinf^2 + 
    84672000*li5half*ln2*sinf^2 - 431200*ln2^6*sinf^2 + 63504000*s6*sinf^2 - 
    197568000*li6half*z2 - 169344000*li5half*ln2*z2 + 2783200*ln2^6*z2 - 
    521136000*s6*z2 - 84672000*li5half*sinf*z2 + 4939200*ln2^5*sinf*z2 + 
    2940000*ln2^4*sinf^2*z2 + 49996800*li4half*z2^2 - 1209600*ln2^4*z2^2 + 
    705600*ln2^3*sinf*z2^2 - 1764000*ln2^2*sinf^2*z2^2 - 
    68292000*ln2^2*z2^3 - 88956000*ln2*sinf*z2^3 - 19958400*sinf^2*z2^3 - 
    61736184*z2^4 - 521136000*li5half*z3 - 3418800*ln2^5*z3 - 
    19404000*ln2^4*sinf*z3 - 12936000*ln2^3*sinf^2*z3 + 
    47124000*ln2^3*z2*z3 + 116424000*ln2^2*sinf*z2*z3 + 
    38808000*ln2*sinf^2*z2*z3 + 454356000*ln2*z2^2*z3 + 
    238366800*sinf*z2^2*z3 + 40005000*ln2^2*z3^2 - 281232000*ln2*sinf*z3^2 - 
    60196500*sinf^2*z3^2 + 302809500*z2*z3^2 - 29106000*ln2^3*z5 - 
    210357000*ln2^2*sinf*z5 - 87318000*ln2*sinf^2*z5 + 1178604000*ln2*z2*z5 + 
    337995000*sinf*z2*z5 - 599728500*z3*z5 - 665161875*sinf*z7)/56448000, 
 H[1, 1, -1, 1, -1, 0, 1, 0, 1] -> 
  (-1241856000*li8half - 37632000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 
    305200*ln2^8 + 82656000*ln2^2*s6 - 339873975*s8a - 2471112000*s8b - 
    165312000*s8c - 392112000*s8d + 790272000*li7half*sinf - 
    112896000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf - 
    784000*ln2^7*sinf - 317520000*ln2*s6*sinf + 317520000*s7a*sinf - 
    98784000*s7b*sinf - 225792000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    548800*ln2^6*sinf^2 - 127008000*s6*sinf^2 + 479808000*li6half*z2 + 
    225792000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 + 
    1239336000*s6*z2 - 28224000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 + 1176000*ln2^5*sinf*z2 + 2352000*ln2^4*sinf^2*z2 - 
    16329600*li4half*z2^2 + 7610400*ln2^4*z2^2 + 26460000*ln2^3*sinf*z2^2 + 
    8996400*ln2^2*sinf^2*z2^2 - 55641600*ln2^2*z2^3 + 
    60328800*ln2*sinf*z2^3 + 18186000*sinf^2*z2^3 + 66318204*z2^4 + 
    897120000*li5half*z3 - 9592800*ln2^5*z3 - 14112000*li4half*sinf*z3 - 
    5880000*ln2^4*sinf*z3 - 3528000*ln2^3*sinf^2*z3 + 45948000*ln2^3*z2*z3 - 
    56448000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 + 
    322056000*ln2*z2^2*z3 - 43218000*sinf*z2^2*z3 - 19089000*ln2^2*z3^2 + 
    312228000*ln2*sinf*z3^2 + 71442000*sinf^2*z3^2 + 92673000*z2*z3^2 + 
    48657000*ln2^3*z5 + 549265500*ln2^2*sinf*z5 + 145971000*ln2*sinf^2*z5 + 
    203994000*ln2*z2*z5 + 201757500*sinf*z2*z5 - 583687125*z3*z5 - 
    601083000*sinf*z7)/28224000, H[1, 1, -1, 1, -1, 0, 1, -1, 1] -> 
  (48384000*li4half^2 - 2459520000*li8half - 48384000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 25536000*li5half*ln2^3 + 116600*ln2^8 + 
    245376000*ln2^2*s6 + 6624000*ln2*s7a - 23616000*ln2*s7b - 796223925*s8a - 
    5178600000*s8b - 485856000*s8c - 540288000*s8d + 
    1080576000*li7half*sinf + 56448000*li6half*ln2*sinf - 
    76608000*li5half*ln2^2*sinf - 10752000*li4half*ln2^3*sinf + 
    54400*ln2^7*sinf - 212832000*ln2*s6*sinf + 230976000*s7a*sinf - 
    301248000*s7b*sinf - 193536000*li6half*sinf^2 - 
    76608000*li5half*ln2*sinf^2 - 8064000*li4half*ln2^2*sinf^2 + 
    33600*ln2^6*sinf^2 - 104832000*s6*sinf^2 + 165312000*li6half*z2 + 
    116928000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 - 1215200*ln2^6*z2 + 
    1689408000*s6*z2 + 76608000*li5half*sinf*z2 + 32256000*li4half*ln2*sinf*
     z2 - 1176000*ln2^5*sinf*z2 + 8064000*li4half*sinf^2*z2 - 
    1008000*ln2^4*sinf^2*z2 - 116121600*li4half*z2^2 + 16321200*ln2^4*z2^2 + 
    30038400*ln2^3*sinf*z2^2 + 9374400*ln2^2*sinf^2*z2^2 - 
    25272000*ln2^2*z2^3 + 77083200*ln2*sinf*z2^3 + 18604800*sinf^2*z2^3 + 
    179172432*z2^4 + 970704000*li5half*z3 - 7686000*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 1344000*ln2^4*sinf*z3 + 
    672000*ln2^3*sinf^2*z3 + 64092000*ln2^3*z2*z3 - 
    16128000*ln2^2*sinf*z2*z3 - 3528000*ln2*sinf^2*z2*z3 + 
    610191000*ln2*z2^2*z3 + 103543200*sinf*z2^2*z3 + 71563500*ln2^2*z3^2 + 
    278640000*ln2*sinf*z3^2 + 40320000*sinf^2*z3^2 + 532507500*z2*z3^2 + 
    64050000*ln2^3*z5 + 619857000*ln2^2*sinf*z5 + 104265000*ln2*sinf^2*z5 + 
    1323702000*ln2*z2*z5 + 797283000*sinf*z2*z5 - 702804375*z3*z5 + 
    76315500*ln2*z7 - 2427203250*sinf*z7)/8064000, 
 H[1, 1, -1, 1, -1, 0, 0, 1, 1] -> 
  (33868800*li8half + 840*ln2^8 - 12398400*ln2^2*s6 + 40894875*s8a + 
    224784000*s8b + 24796800*s8c + 21067200*s8d - 16934400*li7half*sinf + 
    3360*ln2^7*sinf + 10483200*ln2*s6*sinf - 10483200*s7a*sinf + 
    12096000*s7b*sinf + 2822400*li6half*sinf^2 + 3920*ln2^6*sinf^2 + 
    3880800*s6*sinf^2 + 22579200*li6half*z2 + 7840*ln2^6*z2 - 
    68947200*s6*z2 - 8467200*li5half*sinf*z2 - 58800*ln2^4*sinf^2*z2 + 
    4213440*li4half*z2^2 - 541800*ln2^4*z2^2 - 1317120*ln2^3*sinf*z2^2 - 
    423360*ln2^2*sinf^2*z2^2 + 1887480*ln2^2*z2^3 - 1965600*ln2*sinf*z2^3 + 
    840*sinf^2*z2^3 - 8034366*z2^4 - 33667200*li5half*z3 + 386400*ln2^5*z3 + 
    264600*ln2^4*sinf*z3 + 176400*ln2^3*sinf^2*z3 - 4510800*ln2^3*z2*z3 - 
    2998800*ln2^2*sinf*z2*z3 - 1940400*ln2*sinf^2*z2*z3 - 
    27872460*ln2*z2^2*z3 - 3883320*sinf*z2^2*z3 - 1370250*ln2^2*z3^2 - 
    8870400*ln2*sinf*z3^2 - 1058400*sinf^2*z3^2 - 34583850*z2*z3^2 - 
    220500*ln2^3*z5 - 22535100*ln2^2*sinf*z5 - 661500*ln2*sinf^2*z5 - 
    73067400*ln2*z2*z5 - 36855000*sinf*z2*z5 + 60974550*z3*z5 + 
    90348300*sinf*z7)/2822400, H[1, 1, -1, 1, -1, 0, 0, 0, 1] -> 
  (37296000*ln2^2*s6 - 114091425*s8a - 571788000*s8b - 74592000*s8c - 
    31248000*s8d + 2016000*ln2*s6*sinf - 2016000*s7a*sinf - 
    37296000*s7b*sinf - 28224000*li6half*z2 - 39200*ln2^6*z2 + 
    147168000*s6*z2 - 6249600*li4half*z2^2 + 2268000*ln2^4*z2^2 + 
    3410400*ln2^3*sinf*z2^2 + 1234800*ln2^2*sinf^2*z2^2 - 
    8101800*ln2^2*z2^3 + 907200*ln2*sinf*z2^3 + 2003400*sinf^2*z2^3 + 
    1684332*z2^4 + 20160000*li5half*z3 - 168000*ln2^5*z3 + 
    7854000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 + 
    2646000*ln2*sinf^2*z2*z3 + 89838000*ln2*z2^2*z3 + 37711800*sinf*z2^2*z3 + 
    10489500*ln2^2*z3^2 - 2520000*ln2*sinf*z3^2 - 5292000*sinf^2*z3^2 + 
    100705500*z2*z3^2 - 4704000*ln2^3*z5 + 20065500*ln2^2*sinf*z5 - 
    14112000*ln2*sinf^2*z5 + 252000000*ln2*z2*z5 + 151231500*sinf*z2*z5 - 
    164469375*z3*z5 - 352107000*sinf*z7)/14112000, 
 H[1, 1, -1, 1, -1, 0, 0, -1, 1] -> 
  (-112896000*li8half + 22579200*li7half*ln2 + 11289600*li6half*ln2^2 + 
    8400*ln2^8 - 98380800*ln2^2*s6 + 4838400*ln2*s7a - 40320000*ln2*s7b + 
    195796125*s8a + 833716800*s8b + 161683200*s8c + 55641600*s8d + 
    90316800*li7half*sinf + 22579200*li6half*ln2*sinf + 13440*ln2^7*sinf - 
    1209600*ln2*s6*sinf - 24192000*s7a*sinf + 66124800*s7b*sinf + 
    28224000*s6*sinf^2 + 39513600*li6half*z2 - 7840*ln2^6*z2 - 
    235468800*s6*z2 - 16934400*li5half*sinf*z2 + 47040*ln2^5*sinf*z2 + 
    11128320*li4half*z2^2 + 1545600*ln2^4*z2^2 + 1364160*ln2^3*sinf*z2^2 + 
    352800*ln2^2*sinf^2*z2^2 + 49533120*ln2^2*z2^3 + 35542080*ln2*sinf*z2^3 + 
    5943840*sinf^2*z2^3 + 16903848*z2^4 - 115516800*li5half*z3 + 
    539280*ln2^5*z3 - 1058400*ln2^4*sinf*z3 - 705600*ln2^3*sinf^2*z3 - 
    5628000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 - 
    705600*ln2*sinf^2*z2*z3 - 99603000*ln2*z2^2*z3 - 13295520*sinf*z2^2*z3 - 
    29036700*ln2^2*z3^2 - 54936000*ln2*sinf*z3^2 - 10936800*sinf^2*z3^2 - 
    146972700*z2*z3^2 + 26401200*ln2^3*z5 - 139532400*ln2^2*sinf*z5 - 
    52038000*ln2*sinf^2*z5 - 261122400*ln2*z2*z5 - 147583800*sinf*z2*z5 + 
    223626375*z3*z5 - 471813300*ln2*z7 + 173029500*sinf*z7)/11289600, 
 H[1, 1, -1, 1, -1, 0, -1, 1, 1] -> 
  (-13547520*li4half^2 + 593832960*li8half - 1128960*li6half*ln2^2 + 
    8279040*li5half*ln2^3 - 32312*ln2^8 - 56367360*ln2^2*s6 + 196872795*s8a + 
    1290179520*s8b + 121201920*s8c + 135636480*s8d - 259660800*li7half*sinf + 
    21450240*li5half*ln2^2*sinf + 3010560*li4half*ln2^3*sinf - 
    1792*ln2^7*sinf + 54593280*ln2*s6*sinf - 54593280*s7a*sinf + 
    70156800*s7b*sinf + 47416320*li6half*sinf^2 + 
    18063360*li5half*ln2*sinf^2 + 2257920*li4half*ln2^2*sinf^2 + 
    9408*ln2^6*sinf^2 + 22579200*s6*sinf^2 - 46287360*li6half*z2 - 
    32739840*li5half*ln2*z2 - 2257920*li4half*ln2^2*z2 + 302624*ln2^6*z2 - 
    426504960*s6*z2 - 21450240*li5half*sinf*z2 - 9031680*li4half*ln2*sinf*
     z2 + 178752*ln2^5*sinf*z2 - 2257920*li4half*sinf^2*z2 + 
    141120*ln2^4*sinf^2*z2 + 29385216*li4half*z2^2 - 4686192*ln2^4*z2^2 - 
    8335488*ln2^3*sinf*z2^2 - 2540160*ln2^2*sinf^2*z2^2 + 
    2161152*ln2^2*z2^3 - 23067072*ln2*sinf*z2^3 - 5177088*sinf^2*z2^3 - 
    43511904*z2^4 - 238815360*li5half*z3 + 2103024*ln2^5*z3 + 
    15805440*li4half*sinf*z3 + 940800*ln2^4*sinf*z3 + 
    188160*ln2^3*sinf^2*z3 - 17831520*ln2^3*z2*z3 + 
    1128960*ln2^2*sinf*z2*z3 - 141120*ln2*sinf^2*z2*z3 - 
    150548328*ln2*z2^2*z3 - 24968160*sinf*z2^2*z3 - 13286700*ln2^2*z3^2 - 
    63725760*ln2*sinf*z3^2 - 8555400*sinf^2*z3^2 - 137056500*z2*z3^2 - 
    4668720*ln2^3*z5 - 136498320*ln2^2*sinf*z5 - 17287200*ln2*sinf^2*z5 - 
    333529560*ln2*z2*z5 - 194337360*sinf*z2*z5 + 192991365*z3*z5 + 
    593252730*sinf*z7)/2257920, H[1, 1, -1, 1, -1, 0, -1, 0, 1] -> 
  (-496742400*li8half - 15052800*li5half*ln2^3 - 5644800*li4half*ln2^4 - 
    122080*ln2^8 + 96969600*ln2^2*s6 - 299138175*s8a - 1721966400*s8b - 
    193939200*s8c - 161683200*s8d + 316108800*li7half*sinf - 
    45158400*li5half*ln2^2*sinf - 15052800*li4half*ln2^3*sinf - 
    313600*ln2^7*sinf - 116121600*ln2*s6*sinf + 116121600*s7a*sinf - 
    92736000*s7b*sinf - 90316800*li6half*sinf^2 - 
    45158400*li5half*ln2*sinf^2 - 11289600*li4half*ln2^2*sinf^2 - 
    219520*ln2^6*sinf^2 - 50803200*s6*sinf^2 + 333043200*li6half*z2 + 
    141120000*li5half*ln2*z2 + 11289600*li4half*ln2^2*z2 + 258720*ln2^6*z2 + 
    686044800*s6*z2 - 28224000*li5half*sinf*z2 - 22579200*li4half*ln2*sinf*
     z2 + 611520*ln2^5*sinf*z2 + 940800*ln2^4*sinf^2*z2 - 
    7499520*li4half*z2^2 + 4967760*ln2^4*z2^2 + 10254720*ln2^3*sinf*z2^2 + 
    3880800*ln2^2*sinf^2*z2^2 - 48061440*ln2^2*z2^3 + 
    16047360*ln2*sinf*z2^3 + 10164000*sinf^2*z2^3 - 9476184*z2^4 + 
    330422400*li5half*z3 - 3882480*ln2^5*z3 - 5644800*li4half*sinf*z3 - 
    3057600*ln2^4*sinf*z3 - 1881600*ln2^3*sinf^2*z3 + 39060000*ln2^3*z2*z3 + 
    15523200*ln2^2*sinf*z2*z3 + 4939200*ln2*sinf^2*z2*z3 + 
    238747320*ln2*z2^2*z3 + 27720000*sinf*z2^2*z3 + 4693500*ln2^2*z3^2 + 
    99993600*ln2*sinf*z3^2 + 19404000*sinf^2*z3^2 + 175310100*z2*z3^2 + 
    13347600*ln2^3*z5 + 242373600*ln2^2*sinf*z5 + 40042800*ln2*sinf^2*z5 + 
    526339800*ln2*z2*z5 + 333181800*sinf*z2*z5 - 425305125*z3*z5 - 
    759959550*sinf*z7)/11289600, H[1, 1, -1, 1, -1, 0, -1, -1, 1] -> 
  (254016000*li4half^2 + 1241856000*li8half + 225792000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 56448000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 583800*ln2^8 - 391104000*ln2^2*s6 + 
    46368000*ln2*s7a + 286272000*ln2*s7b + 283588200*s8a + 2644992000*s8b + 
    181440000*s8c + 354816000*s8d - 508032000*li7half*sinf - 
    508032000*li6half*ln2*sinf - 84672000*li5half*ln2^2*sinf + 
    100800*ln2^7*sinf - 96768000*ln2*s6*sinf - 199584000*s7a*sinf + 
    308448000*s7b*sinf - 84672000*li6half*sinf^2 - 117600*ln2^6*sinf^2 + 
    21168000*s6*sinf^2 + 338688000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 3684800*ln2^6*z2 - 850752000*s6*z2 + 
    84672000*li4half*ln2*sinf*z2 + 4939200*ln2^5*sinf*z2 + 
    42336000*li4half*sinf^2*z2 + 3528000*ln2^4*sinf^2*z2 + 
    20160000*li4half*z2^2 + 23595600*ln2^4*z2^2 + 13406400*ln2^3*sinf*z2^2 + 
    6350400*ln2^2*sinf^2*z2^2 + 135828000*ln2^2*z2^3 + 
    78170400*ln2*sinf*z2^3 + 10483200*sinf^2*z2^3 - 134425008*z2^4 - 
    751968000*li5half*z3 + 169344000*li4half*ln2*z3 + 5560800*ln2^5*z3 - 
    275184000*li4half*sinf*z3 - 30870000*ln2^4*sinf*z3 - 
    12936000*ln2^3*sinf^2*z3 - 14448000*ln2^3*z2*z3 + 
    185220000*ln2^2*sinf*z2*z3 + 38808000*ln2*sinf^2*z2*z3 - 
    338763600*ln2*z2^2*z3 + 58968000*sinf*z2^2*z3 - 104706000*ln2^2*z3^2 - 
    448812000*ln2*sinf*z3^2 - 18081000*sinf^2*z3^2 - 132552000*z2*z3^2 - 
    302526000*ln2^3*z5 - 661500000*ln2^2*sinf*z5 - 128331000*ln2*sinf^2*z5 - 
    1095066000*ln2*z2*z5 - 793611000*sinf*z2*z5 - 54699750*z3*z5 + 
    849303000*ln2*z7 + 1637519625*sinf*z7)/56448000, 
 H[1, 1, -1, 1, -1, -1, 1, 1, 1] -> 
  (-846720000*li8half - 50400*ln2^8 + 384048000*ln2^2*s6 - 957919725*s8a - 
    4289544000*s8b - 768096000*s8c - 78624000*s8d + 508032000*li7half*sinf - 
    168000*ln2^7*sinf - 72576000*ln2*s6*sinf + 72576000*s7a*sinf - 
    435456000*s7b*sinf - 84672000*li6half*sinf^2 - 156800*ln2^6*sinf^2 - 
    84672000*s6*sinf^2 + 84672000*li6half*z2 + 1568000*ln2^6*z2 + 
    665280000*s6*z2 + 3528000*ln2^5*sinf*z2 + 2352000*ln2^4*sinf^2*z2 - 
    15724800*li4half*z2^2 + 16044000*ln2^4*z2^2 + 35985600*ln2^3*sinf*z2^2 + 
    16934400*ln2^2*sinf^2*z2^2 - 85730400*ln2^2*z2^3 + 907200*ln2*sinf*z2^3 + 
    13339200*sinf^2*z2^3 - 16192776*z2^4 + 157248000*li5half*z3 - 
    13188000*ln2^5*z3 - 24990000*ln2^4*sinf*z3 - 13524000*ln2^3*sinf^2*z3 + 
    117180000*ln2^3*z2*z3 + 121716000*ln2^2*sinf*z2*z3 + 
    40572000*ln2*sinf^2*z2*z3 + 787789800*ln2*z2^2*z3 + 
    308473200*sinf*z2^2*z3 + 115069500*ln2^2*z3^2 + 104832000*ln2*sinf*z3^2 - 
    4851000*sinf^2*z3^2 + 701536500*z2*z3^2 - 51303000*ln2^3*z5 + 
    493479000*ln2^2*sinf*z5 + 1323000*ln2*sinf^2*z5 + 2456874000*ln2*z2*z5 + 
    1293705000*sinf*z2*z5 - 857185875*z3*z5 - 3366294750*sinf*z7)/56448000, 
 H[1, 1, -1, 1, -1, -1, 1, 0, 1] -> (967680*li4half^2 - 4193280*li8half - 
    53760*li5half*ln2^3 - 1336*ln2^8 - 1693440*ln2^2*s6 + 2597490*s8a + 
    8870400*s8b + 3386880*s8c - 1370880*s8d + 645120*li7half*sinf - 
    161280*li5half*ln2^2*sinf - 215040*li4half*ln2^3*sinf - 7744*ln2^7*sinf - 
    288000*ln2*s6*sinf + 288000*s7a*sinf + 1578240*s7b*sinf - 
    161280*li5half*ln2*sinf^2 - 161280*li4half*ln2^2*sinf^2 - 
    5376*ln2^6*sinf^2 + 282240*s6*sinf^2 - 1935360*li6half*z2 + 
    322560*li5half*ln2*z2 + 161280*li4half*ln2^2*z2 + 14336*ln2^6*z2 - 
    483840*s6*z2 + 1128960*li5half*sinf*z2 + 645120*li4half*ln2*sinf*z2 + 
    51072*ln2^5*sinf*z2 + 161280*li4half*sinf^2*z2 + 30240*ln2^4*sinf^2*z2 - 
    435456*li4half*z2^2 - 28896*ln2^4*z2^2 - 63168*ln2^3*sinf*z2^2 - 
    48384*ln2^2*sinf^2*z2^2 + 950400*ln2^2*z2^3 + 485856*ln2*sinf*z2^3 - 
    69696*sinf^2*z2^3 + 1491168*z2^4 + 1491840*li5half*z3 - 38640*ln2^5*z3 - 
    1128960*li4half*sinf*z3 - 112560*ln2^4*sinf*z3 - 43680*ln2^3*sinf^2*z3 - 
    379680*ln2^3*z2*z3 - 413280*ln2^2*sinf*z2*z3 - 100800*ln2*sinf^2*z2*z3 - 
    1654128*ln2*z2^2*z3 - 527328*sinf*z2^2*z3 - 1000440*ln2^2*z3^2 - 
    688320*ln2*sinf*z3^2 + 93240*sinf^2*z3^2 - 2288160*z2*z3^2 + 
    27720*ln2^3*z5 - 1166760*ln2^2*sinf*z5 + 83160*ln2*sinf^2*z5 - 
    11214000*ln2*z2*z5 - 6619320*sinf*z2*z5 + 1107540*z3*z5 + 
    11153745*sinf*z7)/322560, H[1, 1, -1, 1, -1, -1, 1, -1, 1] -> 
  (254016000*li4half^2 + 677376000*li8half - 28224000*li5half*ln2^3 - 
    159600*ln2^8 - 269136000*ln2^2*s6 + 504048825*s8a + 2904552000*s8b + 
    538272000*s8c + 139104000*s8d - 338688000*li7half*sinf - 
    84672000*li5half*ln2^2*sinf - 56448000*li4half*ln2^3*sinf - 
    1512000*ln2^7*sinf + 133056000*ln2*s6*sinf - 133056000*s7a*sinf + 
    205632000*s7b*sinf - 84672000*li5half*ln2*sinf^2 - 
    42336000*li4half*ln2^2*sinf^2 - 1019200*ln2^6*sinf^2 + 
    169344000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1960000*ln2^6*z2 - 
    616896000*s6*z2 + 84672000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*
     z2 + 10584000*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 + 
    4704000*ln2^4*sinf^2*z2 - 14515200*li4half*z2^2 - 31416000*ln2^4*z2^2 - 
    71265600*ln2^3*sinf*z2^2 - 27518400*ln2^2*sinf^2*z2^2 + 
    61572000*ln2^2*z2^3 - 48316800*ln2*sinf*z2^3 - 16934400*sinf^2*z2^3 + 
    33176112*z2^4 - 426384000*li5half*z3 + 8022000*ln2^5*z3 - 
    296352000*li4half*sinf*z3 - 5880000*ln2^4*sinf*z3 + 
    1176000*ln2^3*sinf^2*z3 - 53172000*ln2^3*z2*z3 + 
    63504000*ln2^2*sinf*z2*z3 - 3528000*ln2*sinf^2*z2*z3 - 
    445523400*ln2*z2^2*z3 + 57304800*sinf*z2^2*z3 - 146254500*ln2^2*z3^2 - 
    307440000*ln2*sinf*z3^2 + 882000*sinf^2*z3^2 - 444496500*z2*z3^2 + 
    105987000*ln2^3*z5 - 165375000*ln2^2*sinf*z5 + 162729000*ln2*sinf^2*z5 - 
    2095506000*ln2*z2*z5 - 777357000*sinf*z2*z5 + 353532375*z3*z5 + 
    924336000*ln2*z7 + 1453740750*sinf*z7)/56448000, 
 H[1, 1, -1, 1, -1, -1, 0, 1, 1] -> (10160640*li4half^2 - 83543040*li8half - 
    2634240*li5half*ln2^3 + 2240*ln2^8 - 3588480*ln2^2*s6 - 4959675*s8a - 
    93078720*s8b + 7176960*s8c - 26933760*s8d + 47416320*li7half*sinf - 
    7902720*li5half*ln2^2*sinf - 2257920*li4half*ln2^3*sinf - 
    37632*ln2^7*sinf - 12096000*ln2*s6*sinf + 12096000*s7a*sinf - 
    2016000*s7b*sinf - 13547520*li6half*sinf^2 - 7902720*li5half*ln2*sinf^2 - 
    1693440*li4half*ln2^2*sinf^2 - 23520*ln2^6*sinf^2 - 5080320*s6*sinf^2 + 
    13547520*li6half*z2 + 15805440*li5half*ln2*z2 + 
    1693440*li4half*ln2^2*z2 - 23520*ln2^6*z2 + 68826240*s6*z2 + 
    14676480*li5half*sinf*z2 + 6773760*li4half*ln2*sinf*z2 + 
    188160*ln2^5*sinf*z2 - 1693440*li4half*sinf^2*z2 - 
    70560*ln2^4*sinf^2*z2 - 11821824*li4half*z2^2 - 40992*ln2^4*z2^2 + 
    338688*ln2^3*sinf*z2^2 + 691488*ln2^2*sinf^2*z2^2 + 4211424*ln2^2*z2^3 + 
    7441056*ln2*sinf*z2^3 + 2332512*sinf^2*z2^3 + 13650936*z2^4 + 
    26490240*li5half*z3 - 150192*ln2^5*z3 + 1693440*li4half*sinf*z3 + 
    246960*ln2^4*sinf*z3 + 117600*ln2^3*sinf^2*z3 - 1202880*ln2^3*z2*z3 - 
    6985440*ln2^2*sinf*z2*z3 - 3598560*ln2*sinf^2*z2*z3 - 
    4806648*ln2*z2^2*z3 - 3308256*sinf*z2^2*z3 + 401940*ln2^2*z3^2 + 
    17942400*ln2*sinf*z3^2 + 3007620*sinf^2*z3^2 - 7199640*z2*z3^2 + 
    2687160*ln2^3*z5 + 21732480*ln2^2*sinf*z5 + 8061480*ln2*sinf^2*z5 - 
    50072400*ln2*z2*z5 - 14928480*sinf*z2*z5 + 3621555*z3*z5 - 
    26099955*sinf*z7)/2257920, H[1, 1, -1, 1, -1, -1, 0, 0, 1] -> 
  (-127008000*li4half^2 + 282240000*li8half + 9408000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 + 2100*ln2^8 + 121968000*ln2^2*s6 - 197264025*s8a - 
    838152000*s8b - 243936000*s8c + 60480000*s8d - 112896000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    571200*ln2^7*sinf + 40320000*ln2*s6*sinf - 40320000*s7a*sinf - 
    96768000*s7b*sinf + 28224000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 + 
    392000*ln2^6*sinf^2 + 3528000*s6*sinf^2 - 84672000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 1411200*ln2^6*z2 + 
    30744000*s6*z2 - 56448000*li5half*sinf*z2 - 98784000*li4half*ln2*sinf*
     z2 - 6468000*ln2^5*sinf*z2 - 21168000*li4half*sinf^2*z2 - 
    2646000*ln2^4*sinf^2*z2 + 57254400*li4half*z2^2 + 13440000*ln2^4*z2^2 + 
    25754400*ln2^3*sinf*z2^2 + 8643600*ln2^2*sinf^2*z2^2 - 
    37069200*ln2^2*z2^3 - 8416800*ln2*sinf*z2^3 + 7358400*sinf^2*z2^3 - 
    79072344*z2^4 + 41328000*li5half*z3 + 1066800*ln2^5*z3 + 
    59976000*li4half*sinf*z3 + 6027000*ln2^4*sinf*z3 + 
    2352000*ln2^3*sinf^2*z3 - 10962000*ln2^3*z2*z3 - 
    32634000*ln2^2*sinf*z2*z3 - 6174000*ln2*sinf^2*z2*z3 + 
    204674400*ln2*z2^2*z3 + 46254600*sinf*z2^2*z3 + 62527500*ln2^2*z3^2 + 
    6048000*ln2*sinf*z3^2 - 15655500*sinf^2*z3^2 + 238297500*z2*z3^2 - 
    11098500*ln2^3*z5 + 21388500*ln2^2*sinf*z5 - 33295500*ln2*sinf^2*z5 + 
    798399000*ln2*z2*z5 + 429565500*sinf*z2*z5 - 267828750*z3*z5 - 
    721893375*sinf*z7)/28224000, H[1, 1, -1, 1, -1, -1, 0, -1, 1] -> 
  (-338688000*li4half^2 - 4290048000*li8half - 56448000*li7half*ln2 + 
    84672000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 7056000*li4half*ln2^4 + 
    394800*ln2^8 + 104832000*ln2^2*s6 - 94752000*ln2*s7a - 
    306432000*ln2*s7b - 539984025*s8a - 6166440000*s8b - 62496000*s8c - 
    1080576000*s8d + 1919232000*li7half*sinf + 169344000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf + 56448000*li4half*ln2^3*sinf + 
    2441600*ln2^7*sinf - 506016000*ln2*s6*sinf + 463680000*s7a*sinf - 
    143136000*s7b*sinf - 254016000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 + 42336000*li4half*ln2^2*sinf^2 + 
    1646400*ln2^6*sinf^2 - 42336000*s6*sinf^2 + 169344000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 5723200*ln2^6*z2 + 2796192000*s6*z2 + 
    112896000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    20932800*ln2^5*sinf*z2 - 84672000*li4half*sinf^2*z2 - 
    11760000*ln2^4*sinf^2*z2 - 110275200*li4half*z2^2 + 56028000*ln2^4*z2^2 + 
    112425600*ln2^3*sinf*z2^2 + 44452800*ln2^2*sinf^2*z2^2 + 
    94197600*ln2^2*z2^3 + 329263200*ln2*sinf*z2^3 + 75801600*sinf^2*z2^3 + 
    530494176*z2^4 + 2005920000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    14775600*ln2^5*z3 + 402192000*li4half*sinf*z3 + 37044000*ln2^4*sinf*z3 + 
    13524000*ln2^3*sinf^2*z3 + 77196000*ln2^3*z2*z3 - 
    291060000*ln2^2*sinf*z2*z3 - 81144000*ln2*sinf^2*z2*z3 + 
    742883400*ln2*z2^2*z3 - 154652400*sinf*z2^2*z3 - 45927000*ln2^2*z3^2 + 
    707049000*ln2*sinf*z3^2 + 36162000*sinf^2*z3^2 + 186889500*z2*z3^2 + 
    160671000*ln2^3*z5 + 454671000*ln2^2*sinf*z5 - 133182000*ln2*sinf^2*z5 + 
    1205379000*ln2*z2*z5 + 407232000*sinf*z2*z5 - 948252375*z3*z5 - 
    2970639000*ln2*z7 - 2288923875*sinf*z7)/56448000, 
 H[1, 1, -1, 1, -1, -1, -1, 1, 1] -> 
  (-84672000*li4half^2 + 1128960000*li8half + 18816000*li5half*ln2^3 + 
    47600*ln2^8 - 87696000*ln2^2*s6 + 277500825*s8a + 2412648000*s8b + 
    175392000*s8c + 219744000*s8d - 733824000*li7half*sinf + 
    56448000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    526400*ln2^7*sinf + 118944000*ln2*s6*sinf - 118944000*s7a*sinf + 
    149184000*s7b*sinf + 169344000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 + 
    392000*ln2^6*sinf^2 + 70560000*s6*sinf^2 - 169344000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 1724800*ln2^6*z2 - 
    707616000*s6*z2 - 56448000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 6350400*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    3528000*ln2^4*sinf^2*z2 + 58060800*li4half*z2^2 - 13104000*ln2^4*z2^2 - 
    26577600*ln2^3*sinf*z2^2 - 13406400*ln2^2*sinf^2*z2^2 - 
    31466400*ln2^2*z2^3 - 86788800*ln2*sinf*z2^3 - 18009600*sinf^2*z2^3 - 
    30100128*z2^4 - 340704000*li5half*z3 + 14716800*ln2^5*z3 + 
    98784000*li4half*sinf*z3 + 29106000*ln2^4*sinf*z3 + 
    13524000*ln2^3*sinf^2*z3 - 104244000*ln2^3*z2*z3 - 
    89964000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 - 
    274642200*ln2*z2^2*z3 - 79758000*sinf*z2^2*z3 + 81175500*ln2^2*z3^2 - 
    49896000*ln2*sinf*z3^2 - 26901000*sinf^2*z3^2 - 290083500*z2*z3^2 + 
    147294000*ln2^3*z5 - 128331000*ln2^2*sinf*z5 - 23814000*ln2*sinf^2*z5 - 
    789012000*ln2*z2*z5 - 578025000*sinf*z2*z5 + 316630125*z3*z5 + 
    1737303750*sinf*z7)/56448000, H[1, 1, -1, 1, -1, -1, -1, 0, 1] -> 
  (564480000*li8half - 18816000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    123200*ln2^8 + 243936000*ln2^2*s6 - 394528050*s8a - 1676304000*s8b - 
    487872000*s8c + 120960000*s8d + 56448000*li7half*sinf - 
    56448000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    324800*ln2^7*sinf - 68544000*ln2*s6*sinf + 68544000*s7a*sinf - 
    171360000*s7b*sinf - 84672000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 - 14112000*li4half*ln2^2*sinf^2 - 
    235200*ln2^6*sinf^2 - 56448000*s6*sinf^2 + 479808000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1097600*ln2^6*z2 + 
    124992000*s6*z2 - 169344000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 + 2116800*ln2^5*sinf*z2 + 1176000*ln2^4*sinf^2*z2 + 
    55238400*li4half*z2^2 - 5812800*ln2^4*z2^2 - 7761600*ln2^3*sinf*z2^2 + 
    1411200*ln2^2*sinf^2*z2^2 - 169041600*ln2^2*z2^3 - 
    71719200*ln2*sinf*z2^3 + 9676800*sinf^2*z2^3 - 298663248*z2^4 - 
    114912000*li5half*z3 - 1864800*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    7350000*ln2^4*sinf*z3 - 4704000*ln2^3*sinf^2*z3 + 136248000*ln2^3*z2*z3 + 
    185220000*ln2^2*sinf*z2*z3 + 42336000*ln2*sinf^2*z2*z3 + 
    335084400*ln2*z2^2*z3 + 73080000*sinf*z2^2*z3 + 12159000*ln2^2*z3^2 - 
    27216000*ln2*sinf*z3^2 + 14112000*sinf^2*z3^2 + 462483000*z2*z3^2 - 
    294000*ln2^3*z5 + 231525000*ln2^2*sinf*z5 - 882000*ln2*sinf^2*z5 + 
    2086308000*ln2*z2*z5 + 892773000*sinf*z2*z5 - 405672750*z3*z5 - 
    1340332875*sinf*z7)/56448000, H[1, 1, -1, 1, -1, -1, -1, -1, 1] -> 
  (-1072512000*li8half - 9408000*li5half*ln2^3 + 22400*ln2^8 + 
    33264000*ln2^2*s6 - 138491325*s8a - 1426824000*s8b - 66528000*s8c - 
    187488000*s8d + 677376000*li7half*sinf - 28224000*li5half*ln2^2*sinf + 
    33600*ln2^7*sinf - 86688000*ln2*s6*sinf + 86688000*s7a*sinf - 
    40320000*s7b*sinf - 141120000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 + 141120000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 548800*ln2^6*z2 + 501984000*s6*z2 + 
    28224000*li5half*sinf*z2 + 1646400*ln2^5*sinf*z2 + 
    1176000*ln2^4*sinf^2*z2 - 37497600*li4half*z2^2 + 18664800*ln2^4*z2^2 + 
    38337600*ln2^3*sinf*z2^2 + 16934400*ln2^2*sinf^2*z2^2 + 
    66074400*ln2^2*z2^3 + 134332800*ln2*sinf*z2^3 + 32256000*sinf^2*z2^3 + 
    86964648*z2^4 + 325584000*li5half*z3 - 12121200*ln2^5*z3 - 
    18816000*ln2^4*sinf*z3 - 9408000*ln2^3*sinf^2*z3 + 74172000*ln2^3*z2*z3 + 
    28224000*ln2^2*sinf*z2*z3 + 169558200*ln2*z2^2*z3 + 
    14414400*sinf*z2^2*z3 - 75316500*ln2^2*z3^2 + 51912000*ln2*sinf*z3^2 + 
    134347500*z2*z3^2 - 192864000*ln2^3*z5 - 145089000*ln2^2*sinf*z5 - 
    112896000*ln2*sinf^2*z5 + 580608000*ln2*z2*z5 + 235305000*sinf*z2*z5 - 
    264403125*z3*z5 - 779688000*ln2*z7 - 1063613250*sinf*z7)/56448000, 
 H[1, 1, -1, 0, 1, 1, 1, 1, 1] -> (2419200*li4half^2 - 1612800*li8half - 
    268800*li5half*ln2^3 - 2000*ln2^8 + 1008000*ln2^2*s6 - 1901025*s8a + 
    12600000*s8b - 2016000*s8c + 2016000*s8d + 1612800*li7half*sinf - 
    806400*li5half*ln2^2*sinf - 537600*li4half*ln2^3*sinf - 
    16000*ln2^7*sinf + 2016000*ln2*s6*sinf - 2016000*s7a*sinf - 
    2016000*s7b*sinf - 806400*li6half*sinf^2 - 806400*li5half*ln2*sinf^2 - 
    403200*li4half*ln2^2*sinf^2 - 11200*ln2^6*sinf^2 + 806400*li6half*z2 + 
    1612800*li5half*ln2*z2 + 403200*li4half*ln2^2*z2 + 33600*ln2^6*z2 - 
    4032000*s6*z2 + 806400*li5half*sinf*z2 + 1612800*li4half*ln2*sinf*z2 + 
    134400*ln2^5*sinf*z2 + 403200*li4half*sinf^2*z2 + 67200*ln2^4*sinf^2*z2 - 
    134400*ln2^4*z2^2 - 336000*ln2^3*sinf*z2^2 - 100800*ln2^2*sinf^2*z2^2 - 
    871200*ln2^2*z2^3 - 2196000*ln2*sinf*z2^3 - 109224*z2^4 - 
    5443200*li5half*z3 - 25200*ln2^5*z3 - 2822400*li4half*sinf*z3 - 
    294000*ln2^4*sinf*z3 - 117600*ln2^3*sinf^2*z3 + 369600*ln2^3*z2*z3 + 
    1764000*ln2^2*sinf*z2*z3 + 352800*ln2*sinf^2*z2*z3 + 
    1877400*ln2*z2^2*z3 + 3225600*sinf*z2^2*z3 + 283500*ln2^2*z3^2 - 
    2520000*ln2*sinf*z3^2 - 308700*sinf^2*z3^2 + 1600200*z2*z3^2 + 
    268800*ln2^3*z5 + 806400*ln2^2*sinf*z5 + 806400*ln2*sinf^2*z5 + 
    4435200*ln2*z2*z5 + 5115600*sinf*z2*z5 - 10960425*z3*z5 - 
    13253625*sinf*z7)/1612800, H[1, 1, -1, 0, 1, 1, 1, 0, 1] -> 
  (-21168000*li4half^2 - 1764000*li4half*ln2^4 - 36750*ln2^8 + 
    7560000*ln2^2*s6 - 37637775*s8a - 265104000*s8b - 15120000*s8c - 
    20160000*s8d - 20160000*ln2*s6*sinf + 20160000*s7a*sinf - 
    15120000*s7b*sinf - 17640000*s6*sinf^2 + 14112000*li6half*z2 + 
    19600*ln2^6*z2 + 110880000*s6*z2 - 14112000*li5half*sinf*z2 - 
    21168000*li4half*ln2*sinf*z2 - 764400*ln2^5*sinf*z2 - 
    3528000*li4half*sinf^2*z2 - 147000*ln2^4*sinf^2*z2 + 
    7257600*li4half*z2^2 + 1331400*ln2^4*z2^2 + 4116000*ln2^3*sinf*z2^2 + 
    882000*ln2^2*sinf^2*z2^2 - 2091600*ln2^2*z2^3 + 10155600*ln2*sinf*z2^3 - 
    1528800*sinf^2*z2^3 + 1056606*z2^4 + 54432000*li5half*z3 - 
    453600*ln2^5*z3 + 22932000*li4half*sinf*z3 + 955500*ln2^4*sinf*z3 - 
    315000*ln2^3*z2*z3 - 11025000*ln2^2*sinf*z2*z3 + 
    3969000*ln2*sinf^2*z2*z3 + 30882600*ln2*z2^2*z3 - 7868700*sinf*z2^2*z3 + 
    2126250*ln2^2*z3^2 + 25200000*ln2*sinf*z3^2 + 7497000*sinf^2*z3^2 - 
    677250*z2*z3^2 + 4336500*ln2^3*z5 + 47187000*ln2^2*sinf*z5 + 
    13009500*ln2*sinf^2*z5 + 19341000*ln2*z2*z5 + 44415000*sinf*z2*z5 + 
    3795750*z3*z5 - 61944750*sinf*z7)/14112000, 
 H[1, 1, -1, 0, 1, 1, 1, -1, 1] -> 
  (6547968000*li8half + 1128960000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 - 61600*ln2^8 - 756000000*ln2^2*s6 + 
    104832000*ln2*s7a - 106848000*ln2*s7b + 2038571325*s8a + 
    13284936000*s8b + 1429344000*s8c + 1195488000*s8d - 
    733824000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    84672000*li5half*ln2^2*sinf - 89600*ln2^7*sinf + 302400000*ln2*s6*sinf - 
    175392000*s7a*sinf + 135072000*s7b*sinf + 310464000*li6half*sinf^2 + 
    84672000*li5half*ln2*sinf^2 - 274400*ln2^6*sinf^2 + 91728000*s6*sinf^2 - 
    479808000*li6half*z2 - 169344000*li5half*ln2*z2 + 2077600*ln2^6*z2 - 
    3858624000*s6*z2 - 84672000*li5half*sinf*z2 + 4704000*ln2^5*sinf*z2 + 
    7644000*ln2^4*sinf^2*z2 + 239097600*li4half*z2^2 - 47073600*ln2^4*z2^2 - 
    98548800*ln2^3*sinf*z2^2 - 19404000*ln2^2*sinf^2*z2^2 + 
    249580800*ln2^2*z2^3 - 108813600*ln2*sinf*z2^3 - 48484800*sinf^2*z2^3 - 
    329136408*z2^4 - 2242800000*li5half*z3 + 21159600*ln2^5*z3 + 
    6174000*ln2^4*sinf*z3 + 4116000*ln2^3*sinf^2*z3 - 195132000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 + 12348000*ln2*sinf^2*z2*z3 - 
    1571484600*ln2*z2^2*z3 - 30189600*sinf*z2^2*z3 - 69079500*ln2^2*z3^2 - 
    217476000*ln2*sinf*z3^2 - 39028500*sinf^2*z3^2 - 1490517000*z2*z3^2 + 
    204771000*ln2^3*z5 - 301644000*ln2^2*sinf*z5 - 882000*ln2*sinf^2*z5 - 
    3965787000*ln2*z2*z5 - 405594000*sinf*z2*z5 + 1401143625*z3*z5 - 
    1919271375*ln2*z7 + 1365154875*sinf*z7)/56448000, 
 H[1, 1, -1, 0, 1, 1, 0, 1, 1] -> (-146160000*ln2^2*s6 + 475746075*s8a + 
    812952000*s8b + 292320000*s8c - 80640000*s8d - 80640000*ln2*s6*sinf + 
    80640000*s7a*sinf + 292320000*s7b*sinf + 105840000*s6*sinf^2 - 
    56448000*li6half*z2 - 78400*ln2^6*z2 + 161280000*s6*z2 + 
    56448000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 1176000*ln2^4*sinf^2*z2 - 
    55641600*li4half*z2^2 - 1142400*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 + 
    7056000*ln2^2*sinf^2*z2^2 + 37497600*ln2^2*z2^3 + 
    28274400*ln2*sinf*z2^3 + 22428000*sinf^2*z2^3 - 13885488*z2^4 + 
    48384000*li5half*z3 - 403200*ln2^5*z3 + 112896000*li4half*sinf*z3 + 
    4704000*ln2^4*sinf*z3 - 23016000*ln2^3*z2*z3 - 
    109368000*ln2^2*sinf*z2*z3 - 81144000*ln2*sinf^2*z2*z3 - 
    319321800*ln2*z2^2*z3 - 191293200*sinf*z2^2*z3 - 41107500*ln2^2*z3^2 + 
    100800000*ln2*sinf*z3^2 - 14332500*sinf^2*z3^2 - 425628000*z2*z3^2 - 
    26019000*ln2^3*z5 - 283122000*ln2^2*sinf*z5 - 78057000*ln2*sinf^2*z5 - 
    720846000*ln2*z2*z5 - 715806000*sinf*z2*z5 + 846964125*z3*z5 + 
    1589702625*sinf*z7)/56448000, H[1, 1, -1, 0, 1, 1, 0, 0, 1] -> 
  (7728000*ln2^2*s6 - 24396225*s8a + 18144000*s8b - 15456000*s8c + 
    6048000*s8d + 6048000*ln2*s6*sinf - 6048000*s7a*sinf - 
    15456000*s7b*sinf - 4704000*s6*sinf^2 - 28560000*s6*z2 + 
    2150400*li4half*z2^2 + 89600*ln2^4*z2^2 - 5317200*ln2^2*z2^3 - 
    9273600*ln2*sinf*z2^3 - 1380400*sinf^2*z2^3 + 2324464*z2^4 - 
    2688000*li5half*z3 + 22400*ln2^5*z3 - 9408000*li4half*sinf*z3 - 
    392000*ln2^4*sinf*z3 + 1344000*ln2^3*z2*z3 + 7056000*ln2^2*sinf*z2*z3 + 
    4704000*ln2*sinf^2*z2*z3 + 16980600*ln2*z2^2*z3 + 11088000*sinf*z2^2*z3 + 
    2173500*ln2^2*z3^2 - 7560000*ln2*sinf*z3^2 + 514500*sinf^2*z3^2 + 
    28717500*z2*z3^2 + 2254000*ln2^3*z5 + 15876000*ln2^2*sinf*z5 + 
    6762000*ln2*sinf^2*z5 + 32844000*ln2*z2*z5 + 31143000*sinf*z2*z5 - 
    74741625*z3*z5 - 59403750*sinf*z7)/9408000, 
 H[1, 1, -1, 0, 1, 1, 0, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    1814400*ln2^2*s6 + 15321600*ln2*s7a - 27014400*ln2*s7b + 10350900*s8a - 
    38304000*s8b + 8064000*s8c - 8064000*s8d - 2016000*ln2*s6*sinf + 
    44352000*s7a*sinf - 40320000*s7b*sinf - 5644800*li6half*z2 + 
    2822400*li4half*ln2^2*z2 + 109760*ln2^6*z2 + 16128000*s6*z2 + 
    5644800*li5half*sinf*z2 - 47040*ln2^5*sinf*z2 - 
    2822400*li4half*sinf^2*z2 - 117600*ln2^4*sinf^2*z2 + 
    2620800*li4half*z2^2 - 126000*ln2^4*z2^2 + 470400*ln2^3*sinf*z2^2 + 
    705600*ln2^2*sinf^2*z2^2 - 12398400*ln2^2*z2^3 - 20684160*ln2*sinf*z2^3 + 
    352800*sinf^2*z2^3 - 10655496*z2^4 + 9072000*li5half*z3 - 
    9878400*li4half*ln2*z3 - 487200*ln2^5*z3 + 7056000*li4half*sinf*z3 + 
    294000*ln2^4*sinf*z3 + 2049600*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 - 
    3528000*ln2*sinf^2*z2*z3 + 2726640*ln2*z2^2*z3 + 6123600*sinf*z2^2*z3 + 
    10080000*ln2^2*z3^2 + 39564000*ln2*sinf*z3^2 + 1102500*sinf^2*z3^2 - 
    10281600*z2*z3^2 + 42571200*ln2^3*z5 + 86700600*ln2^2*sinf*z5 + 
    4674600*ln2*sinf^2*z5 + 47136600*ln2*z2*z5 + 123555600*sinf*z2*z5 + 
    51130800*z3*z5 + 16419375*ln2*z7 - 168493500*sinf*z7)/11289600, 
 H[1, 1, -1, 0, 1, 1, -1, 1, 1] -> 
  (-338688000*li4half^2 - 14676480000*li8half + 282240000*li6half*ln2^2 + 
    47040000*li5half*ln2^3 + 224000*ln2^8 + 2178288000*ln2^2*s6 - 
    5718012300*s8a - 36322272000*s8b - 4144896000*s8c - 3306240000*s8d + 
    4515840000*li7half*sinf + 84672000*li5half*ln2^2*sinf + 
    75264000*li4half*ln2^3*sinf + 1534400*ln2^7*sinf - 
    1249920000*ln2*s6*sinf + 1249920000*s7a*sinf - 1106784000*s7b*sinf - 
    592704000*li6half*sinf^2 + 28224000*li5half*ln2*sinf^2 + 
    56448000*li4half*ln2^2*sinf^2 + 1293600*ln2^6*sinf^2 - 
    232848000*s6*sinf^2 + 310464000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 6389600*ln2^6*z2 + 10465056000*s6*z2 - 
    84672000*li5half*sinf*z2 - 225792000*li4half*ln2*sinf*z2 - 
    22814400*ln2^5*sinf*z2 - 56448000*li4half*sinf^2*z2 - 
    22932000*ln2^4*sinf^2*z2 - 604800000*li4half*z2^2 + 
    130384800*ln2^4*z2^2 + 299174400*ln2^3*sinf*z2^2 + 
    106898400*ln2^2*sinf^2*z2^2 - 354412800*ln2^2*z2^3 + 
    384602400*ln2*sinf*z2^3 + 99691200*sinf^2*z2^3 + 796585392*z2^4 + 
    6859440000*li5half*z3 - 57162000*ln2^5*z3 + 395136000*li4half*sinf*z3 + 
    16464000*ln2^4*sinf*z3 + 509880000*ln2^3*z2*z3 - 
    172872000*ln2^2*sinf*z2*z3 - 74088000*ln2*sinf^2*z2*z3 + 
    4654440000*ln2*z2^2*z3 + 110754000*sinf*z2^2*z3 + 532381500*ln2^2*z3^2 + 
    1562400000*ln2*sinf*z3^2 + 110470500*sinf^2*z3^2 + 4328478000*z2*z3^2 - 
    118776000*ln2^3*z5 + 2049768000*ln2^2*sinf*z5 - 110250000*ln2*sinf^2*z5 + 
    12901266000*ln2*z2*z5 + 3558114000*sinf*z2*z5 - 5175985500*z3*z5 - 
    9385322625*sinf*z7)/56448000, H[1, 1, -1, 0, 1, 1, -1, 0, 1] -> 
  (36288000*li4half^2 + 645120000*li8half + 5376000*li5half*ln2^3 + 
    3024000*li4half*ln2^4 + 34200*ln2^8 - 85680000*ln2^2*s6 + 224470575*s8a + 
    1572984000*s8b + 171360000*s8c + 135072000*s8d - 387072000*li7half*sinf + 
    16128000*li5half*ln2^2*sinf - 57600*ln2^7*sinf + 114048000*ln2*s6*sinf - 
    114048000*s7a*sinf + 99648000*s7b*sinf + 96768000*li6half*sinf^2 + 
    16128000*li5half*ln2*sinf^2 + 42336000*s6*sinf^2 - 177408000*li6half*z2 - 
    8064000*li5half*ln2*z2 - 179200*ln2^6*z2 - 525168000*s6*z2 + 
    48384000*li5half*sinf*z2 + 36288000*li4half*ln2*sinf*z2 + 
    840000*ln2^5*sinf*z2 + 6048000*li4half*sinf^2*z2 - 
    420000*ln2^4*sinf^2*z2 + 7660800*li4half*z2^2 - 3780000*ln2^4*z2^2 - 
    16531200*ln2^3*sinf*z2^2 - 12196800*ln2^2*sinf^2*z2^2 + 
    21988800*ln2^2*z2^3 - 25833600*ln2*sinf*z2^3 - 14865600*sinf^2*z2^3 + 
    1556112*z2^4 - 324576000*li5half*z3 + 2704800*ln2^5*z3 - 
    39312000*li4half*sinf*z3 - 1638000*ln2^4*sinf*z3 - 24864000*ln2^3*z2*z3 + 
    16380000*ln2^2*sinf*z2*z3 + 6552000*ln2*sinf^2*z2*z3 - 
    199243800*ln2*z2^2*z3 - 8665200*sinf*z2^2*z3 - 24097500*ln2^2*z3^2 - 
    142560000*ln2*sinf*z3^2 - 17923500*sinf^2*z3^2 - 136237500*z2*z3^2 - 
    1176000*ln2^3*z5 - 210546000*ln2^2*sinf*z5 - 3528000*ln2*sinf^2*z5 - 
    559755000*ln2*z2*z5 - 371025000*sinf*z2*z5 + 164075625*z3*z5 + 
    845604000*sinf*z7)/8064000, H[1, 1, -1, 0, 1, 1, -1, -1, 1] -> 
  (4374720000*li8half - 451584000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 144900*ln2^8 - 
    749952000*ln2^2*s6 - 58464000*ln2*s7a + 12096000*ln2*s7b + 
    2049612075*s8a + 12143880000*s8b + 1489824000*s8c + 1092672000*s8d - 
    1806336000*li7half*sinf - 169344000*li6half*ln2*sinf - 
    14112000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf - 
    151200*ln2^7*sinf + 331632000*ln2*s6*sinf - 352800000*s7a*sinf + 
    451584000*s7b*sinf + 155232000*li6half*sinf^2 + 
    14112000*li5half*ln2*sinf^2 - 7056000*li4half*ln2^2*sinf^2 - 
    196000*ln2^6*sinf^2 + 59976000*s6*sinf^2 - 70560000*li6half*z2 + 
    21168000*li4half*ln2^2*z2 + 2626400*ln2^6*z2 - 3525984000*s6*z2 - 
    14112000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 + 
    4939200*ln2^5*sinf*z2 + 6762000*ln2^4*sinf^2*z2 + 
    219945600*li4half*z2^2 - 46519200*ln2^4*z2^2 - 91610400*ln2^3*sinf*z2^2 - 
    21344400*ln2^2*sinf^2*z2^2 + 124891200*ln2^2*z2^3 - 
    143791200*ln2*sinf*z2^3 - 22579200*sinf^2*z2^3 - 266248008*z2^4 - 
    2167704000*li5half*z3 - 28224000*li4half*ln2*z3 + 16888200*ln2^5*z3 - 
    3528000*li4half*sinf*z3 - 147000*ln2^4*sinf*z3 - 160356000*ln2^3*z2*z3 + 
    3528000*ln2^2*sinf*z2*z3 + 2646000*ln2*sinf^2*z2*z3 - 
    1610758800*ln2*z2^2*z3 - 127096200*sinf*z2^2*z3 - 251055000*ln2^2*z3^2 - 
    428431500*ln2*sinf*z3^2 - 23262750*sinf^2*z3^2 - 1578433500*z2*z3^2 - 
    20359500*ln2^3*z5 - 696780000*ln2^2*sinf*z5 + 20947500*ln2*sinf^2*z5 - 
    4610623500*ln2*z2*z5 - 1372612500*sinf*z2*z5 + 2149882875*z3*z5 + 
    704363625*ln2*z7 + 3967732125*sinf*z7)/28224000, 
 H[1, 1, -1, 0, 1, 0, 1, 1, 1] -> (-24192000*li4half^2 + 16128000*li8half + 
    2688000*li5half*ln2^3 + 20000*ln2^8 - 4032000*ln2^2*s6 + 1392300*s8a - 
    50400000*s8b + 8064000*s8c - 17136000*s8d - 16128000*li7half*sinf + 
    8064000*li5half*ln2^2*sinf + 5376000*li4half*ln2^3*sinf + 
    160000*ln2^7*sinf - 17136000*ln2*s6*sinf + 17136000*s7a*sinf + 
    8064000*s7b*sinf + 8064000*li6half*sinf^2 + 8064000*li5half*ln2*sinf^2 + 
    4032000*li4half*ln2^2*sinf^2 + 112000*ln2^6*sinf^2 - 4536000*s6*sinf^2 - 
    8064000*li6half*z2 - 16128000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 
    336000*ln2^6*z2 + 43344000*s6*z2 - 8064000*li5half*sinf*z2 - 
    16128000*li4half*ln2*sinf*z2 - 1344000*ln2^5*sinf*z2 - 
    4032000*li4half*sinf^2*z2 - 672000*ln2^4*sinf^2*z2 - 
    13910400*li4half*z2^2 + 764400*ln2^4*z2^2 + 3360000*ln2^3*sinf*z2^2 + 
    1008000*ln2^2*sinf^2*z2^2 + 2286000*ln2^2*z2^3 + 3060000*ln2*sinf*z2^3 - 
    1479600*sinf^2*z2^3 + 6891408*z2^4 + 36288000*li5half*z3 + 
    403200*ln2^5*z3 + 40320000*li4half*sinf*z3 + 3444000*ln2^4*sinf*z3 + 
    1176000*ln2^3*sinf^2*z3 - 3192000*ln2^3*z2*z3 - 
    14616000*ln2^2*sinf*z2*z3 + 2520000*ln2*sinf^2*z2*z3 - 
    5695200*ln2*z2^2*z3 - 25452000*sinf*z2^2*z3 - 1134000*ln2^2*z3^2 + 
    21420000*ln2*sinf*z3^2 + 2268000*sinf^2*z3^2 + 5418000*z2*z3^2 - 
    766500*ln2^3*z5 + 6489000*ln2^2*sinf*z5 - 2299500*ln2*sinf^2*z5 - 
    19593000*ln2*z2*z5 - 21105000*sinf*z2*z5 - 21632625*z3*z5 + 
    109974375*sinf*z7)/4032000, H[1, 1, -1, 0, 1, 0, 1, 0, 1] -> 
  (169344000*li4half^2 + 14112000*li4half*ln2^4 + 294000*ln2^8 + 
    36288000*ln2^2*s6 - 17306100*s8a + 404712000*s8b - 72576000*s8c + 
    185472000*s8d + 185472000*ln2*s6*sinf - 185472000*s7a*sinf - 
    72576000*s7b*sinf + 56448000*s6*sinf^2 - 112896000*li6half*z2 - 
    156800*ln2^6*z2 - 533232000*s6*z2 + 112896000*li5half*sinf*z2 + 
    169344000*li4half*ln2*sinf*z2 + 6115200*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 + 
    6048000*li4half*z2^2 - 7980000*ln2^4*z2^2 - 32928000*ln2^3*sinf*z2^2 - 
    7056000*ln2^2*sinf^2*z2^2 + 23158800*ln2^2*z2^3 - 
    12146400*ln2*sinf*z2^3 + 6526800*sinf^2*z2^3 - 43254936*z2^4 - 
    314496000*li5half*z3 + 2620800*ln2^5*z3 - 352800000*li4half*sinf*z3 - 
    14700000*ln2^4*sinf*z3 + 22008000*ln2^3*z2*z3 + 
    158760000*ln2^2*sinf*z2*z3 - 3528000*ln2*sinf^2*z2*z3 - 
    34372800*ln2*z2^2*z3 + 192326400*sinf*z2^2*z3 + 10206000*ln2^2*z3^2 - 
    231840000*ln2*sinf*z3^2 - 28224000*sinf^2*z3^2 + 84420000*z2*z3^2 - 
    27048000*ln2^3*z5 - 190512000*ln2^2*sinf*z5 - 81144000*ln2*sinf^2*z5 + 
    380016000*ln2*z2*z5 + 251559000*sinf*z2*z5 + 204057000*z3*z5 - 
    990068625*sinf*z7)/28224000, H[1, 1, -1, 0, 1, 0, 1, -1, 1] -> 
  (84672000*li4half^2 - 1354752000*li8half - 903168000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 135800*ln2^8 - 343728000*ln2^2*s6 - 
    131040000*ln2*s7a - 215712000*ln2*s7b + 778579200*s8a + 3092544000*s8b + 
    596736000*s8c + 419328000*s8d - 677376000*li7half*sinf - 
    677376000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    134400*ln2^7*sinf - 135072000*ln2*s6*sinf - 217728000*s7a*sinf + 
    276192000*s7b*sinf - 451584000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 + 313600*ln2^6*sinf^2 - 
    112896000*s6*sinf^2 + 790272000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 666400*ln2^6*z2 - 1057392000*s6*z2 + 
    112896000*li5half*sinf*z2 + 254016000*li4half*ln2*sinf*z2 + 
    11524800*ln2^5*sinf*z2 + 88099200*li4half*z2^2 + 9668400*ln2^4*z2^2 + 
    4468800*ln2^3*sinf*z2^2 + 58564800*ln2^2*sinf^2*z2^2 + 
    132602400*ln2^2*z2^3 + 79783200*ln2*sinf*z2^3 + 80640000*sinf^2*z2^3 - 
    81727848*z2^4 - 866880000*li5half*z3 - 296352000*li4half*ln2*z3 - 
    15002400*ln2^5*z3 - 169344000*li4half*sinf*z3 - 31752000*ln2^4*sinf*z3 - 
    16464000*ln2^3*sinf^2*z3 + 108864000*ln2^3*z2*z3 + 
    165816000*ln2^2*sinf*z2*z3 - 1764000*ln2*sinf^2*z2*z3 - 
    317469600*ln2*z2^2*z3 - 8139600*sinf*z2^2*z3 - 255654000*ln2^2*z3^2 - 
    288036000*ln2*sinf*z3^2 + 46746000*sinf^2*z3^2 - 718326000*z2*z3^2 + 
    28959000*ln2^3*z5 - 637686000*ln2^2*sinf*z5 - 159201000*ln2*sinf^2*z5 - 
    865935000*ln2*z2*z5 - 667548000*sinf*z2*z5 + 1961048250*z3*z5 - 
    814519125*ln2*z7 + 1422154125*sinf*z7)/56448000, 
 H[1, 1, -1, 0, 1, 0, 0, 1, 1] -> (524160*ln2^2*s6 + 251685*s8a + 
    8366400*s8b - 1048320*s8c + 1895040*s8d + 1895040*ln2*s6*sinf - 
    1895040*s7a*sinf - 1048320*s7b*sinf + 423360*s6*sinf^2 + 
    2257920*li6half*z2 + 3136*ln2^6*z2 - 5060160*s6*z2 - 
    2257920*li5half*sinf*z2 + 18816*ln2^5*sinf*z2 + 
    1128960*li4half*sinf^2*z2 + 47040*ln2^4*sinf^2*z2 + 
    1112832*li4half*z2^2 - 672*ln2^4*z2^2 - 188160*ln2^3*sinf*z2^2 - 
    282240*ln2^2*sinf^2*z2^2 - 580608*ln2^2*z2^3 - 1179360*ln2*sinf*z2^3 - 
    305760*sinf^2*z2^3 - 917832*z2^4 - 967680*li5half*z3 + 8064*ln2^5*z3 - 
    2822400*li4half*sinf*z3 - 117600*ln2^4*sinf*z3 + 60480*ln2^3*z2*z3 + 
    1128960*ln2^2*sinf*z2*z3 + 423360*ln2*sinf^2*z2*z3 + 
    1138536*ln2*z2^2*z3 + 1874880*sinf*z2^2*z3 + 147420*ln2^2*z3^2 - 
    2368800*ln2*sinf*z3^2 - 379260*sinf^2*z3^2 + 698040*z2*z3^2 + 
    149940*ln2^3*z5 - 370440*ln2^2*sinf*z5 + 449820*ln2*sinf^2*z5 + 
    2245320*ln2*z2*z5 + 4887540*sinf*z2*z5 - 2689470*z3*z5 - 7529130*sinf*z7)/
   564480, H[1, 1, -1, 0, 1, 0, 0, 0, 1] -> 
  (672000*ln2^2*s6 - 13367550*s8a - 91224000*s8b - 1344000*s8c - 
    17472000*s8d - 17472000*ln2*s6*sinf + 17472000*s7a*sinf - 
    1344000*s7b*sinf - 9408000*s6*sinf^2 + 65520000*s6*z2 - 
    11020800*li4half*z2^2 - 459200*ln2^4*z2^2 - 1318800*ln2^2*z2^3 - 
    924000*ln2*sinf*z2^3 - 2002000*sinf^2*z2^3 + 8668592*z2^4 + 
    16128000*li5half*z3 - 134400*ln2^5*z3 + 18816000*li4half*sinf*z3 + 
    784000*ln2^4*sinf*z3 + 1344000*ln2^3*z2*z3 - 4704000*ln2^2*sinf*z2*z3 + 
    2192400*ln2*z2^2*z3 - 9374400*sinf*z2^2*z3 + 189000*ln2^2*z3^2 + 
    21840000*ln2*sinf*z3^2 + 4851000*sinf^2*z3^2 - 7959000*z2*z3^2 + 
    2940000*ln2^3*z5 + 27048000*ln2^2*sinf*z5 + 8820000*ln2*sinf^2*z5 - 
    13608000*ln2*z2*z5 - 7371000*sinf*z2*z5 - 9528750*z3*z5 + 
    42889875*sinf*z7)/4704000, H[1, 1, -1, 0, 1, 0, 0, -1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 + 
    4032000*ln2^2*s6 + 56448000*ln2*s7a + 155232000*ln2*s7b - 203200200*s8a - 
    445032000*s8b - 219744000*s8c + 78624000*s8d + 8064000*ln2*s6*sinf - 
    106848000*s7a*sinf - 50400000*s7b*sinf - 70560000*s6*sinf^2 + 
    56448000*li6half*z2 - 70560000*li4half*ln2^2*z2 - 2861600*ln2^6*z2 + 
    22680000*s6*z2 - 56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 - 
    119750400*li4half*z2^2 + 2654400*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 - 
    7056000*ln2^2*sinf^2*z2^2 + 22150800*ln2^2*z2^3 - 
    33264000*ln2*sinf*z2^3 - 23696400*sinf^2*z2^3 - 8962032*z2^4 - 
    150192000*li5half*z3 + 246960000*li4half*ln2*z3 + 11541600*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 65436000*ln2^3*z2*z3 + 
    28224000*ln2^2*sinf*z2*z3 + 26460000*ln2*sinf^2*z2*z3 - 
    50790600*ln2*z2^2*z3 + 31777200*sinf*z2^2*z3 + 153940500*ln2^2*z3^2 - 
    28602000*ln2*sinf*z3^2 + 15876000*sinf^2*z3^2 + 131953500*z2*z3^2 - 
    48510000*ln2^3*z5 + 86877000*ln2^2*sinf*z5 + 141561000*ln2*sinf^2*z5 - 
    82971000*ln2*z2*z5 + 61834500*sinf*z2*z5 + 7048125*z3*z5 + 
    913421250*ln2*z7 - 150365250*sinf*z7)/28224000, 
 H[1, 1, -1, 0, 1, 0, -1, 1, 1] -> 
  (211680000*li4half^2 - 56448000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    10584000*li4half*ln2^4 - 259700*ln2^8 + 96264000*ln2^2*s6 - 
    273604275*s8a - 1069992000*s8b - 129024000*s8c - 209664000*s8d + 
    225792000*li7half*sinf - 169344000*li5half*ln2^2*sinf - 
    75264000*li4half*ln2^3*sinf - 1769600*ln2^7*sinf + 
    100800000*ln2*s6*sinf - 100800000*s7a*sinf - 199584000*s7b*sinf - 
    112896000*li5half*ln2*sinf^2 - 56448000*li4half*ln2^2*sinf^2 - 
    1411200*ln2^6*sinf^2 + 56448000*li6half*z2 + 465696000*li5half*ln2*z2 + 
    119952000*li4half*ln2^2*z2 + 3155600*ln2^6*z2 + 556920000*s6*z2 + 
    169344000*li5half*sinf*z2 + 98784000*li4half*ln2*sinf*z2 + 
    8349600*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    7056000*ln2^4*sinf^2*z2 - 79329600*li4half*z2^2 - 18652200*ln2^4*z2^2 - 
    39866400*ln2^3*sinf*z2^2 - 43394400*ln2^2*sinf^2*z2^2 - 
    26661600*ln2^2*z2^3 - 10533600*ln2*sinf*z2^3 - 18446400*sinf^2*z2^3 + 
    71386416*z2^4 - 113400000*li5half*z3 + 945000*ln2^5*z3 - 
    257544000*li4half*sinf*z3 - 10731000*ln2^4*sinf*z3 + 
    1134000*ln2^3*z2*z3 + 96138000*ln2^2*sinf*z2*z3 + 
    44982000*ln2*sinf^2*z2*z3 + 95634000*ln2*z2^2*z3 + 
    195237000*sinf*z2^2*z3 + 31704750*ln2^2*z3^2 - 126000000*ln2*sinf*z3^2 - 
    17088750*sinf^2*z3^2 + 226422000*z2*z3^2 + 107898000*ln2^3*z5 + 
    330529500*ln2^2*sinf*z5 + 145971000*ln2*sinf^2*z5 - 67378500*ln2*z2*z5 + 
    354532500*sinf*z2*z5 - 533625750*z3*z5 - 1347829875*sinf*z7)/28224000, 
 H[1, 1, -1, 0, 1, 0, -1, 0, 1] -> 
  (-169344000*li4half^2 - 14112000*li4half*ln2^4 - 294000*ln2^8 + 
    58464000*ln2^2*s6 - 38812725*s8a - 181944000*s8b - 116928000*s8c + 
    116928000*s8d - 52416000*ln2*s6*sinf + 52416000*s7a*sinf + 
    52416000*s7b*sinf - 56448000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    1332800*ln2^6*z2 - 202104000*s6*z2 - 282240000*li5half*sinf*z2 - 
    169344000*li4half*ln2*sinf*z2 - 4704000*ln2^5*sinf*z2 - 
    28224000*li4half*sinf^2*z2 - 1176000*ln2^4*sinf^2*z2 + 
    149688000*li4half*z2^2 + 3885000*ln2^4*z2^2 + 18816000*ln2^3*sinf*z2^2 + 
    7056000*ln2^2*sinf^2*z2^2 - 49114800*ln2^2*z2^3 - 
    20059200*ln2*sinf*z2^3 + 9450000*sinf^2*z2^3 - 98697096*z2^4 + 
    302400000*li5half*z3 - 2520000*ln2^5*z3 + 56448000*li4half*sinf*z3 + 
    2352000*ln2^4*sinf*z3 + 18144000*ln2^3*z2*z3 - 
    35280000*ln2^2*sinf*z2*z3 - 21168000*ln2*sinf^2*z2*z3 + 
    130410000*ln2*z2^2*z3 - 60669000*sinf*z2^2*z3 + 16443000*ln2^2*z3^2 + 
    65520000*ln2*sinf*z3^2 + 13230000*sinf^2*z3^2 + 32681250*z2*z3^2 - 
    9408000*ln2^3*z5 - 28224000*ln2^2*sinf*z5 - 28224000*ln2*sinf^2*z5 + 
    673816500*ln2*z2*z5 + 180085500*sinf*z2*z5 - 44572500*z3*z5 + 
    260583750*sinf*z7)/28224000, H[1, 1, -1, 0, 1, 0, -1, -1, 1] -> 
  (1128960000*li8half + 903168000*li7half*ln2 + 451584000*li6half*ln2^2 + 
    150528000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 397600*ln2^8 + 
    213696000*ln2^2*s6 + 62496000*ln2*s7a + 245952000*ln2*s7b - 
    352344825*s8a - 583128000*s8b - 425376000*s8c + 114912000*s8d + 
    451584000*li7half*sinf + 677376000*li6half*ln2*sinf + 
    338688000*li5half*ln2^2*sinf + 75264000*li4half*ln2^3*sinf + 
    1164800*ln2^7*sinf + 256032000*ln2*s6*sinf - 2016000*s7a*sinf - 
    72576000*s7b*sinf + 338688000*li6half*sinf^2 + 
    225792000*li5half*ln2*sinf^2 + 56448000*li4half*ln2^2*sinf^2 + 
    940800*ln2^6*sinf^2 + 127008000*s6*sinf^2 - 677376000*li6half*z2 - 
    564480000*li5half*ln2*z2 - 169344000*li4half*ln2^2*z2 - 
    4233600*ln2^6*z2 - 328608000*s6*z2 - 225792000*li5half*sinf*z2 - 
    112896000*li4half*ln2*sinf*z2 - 5644800*ln2^5*sinf*z2 - 
    2352000*ln2^4*sinf^2*z2 - 1008000*li4half*z2^2 + 9366000*ln2^4*z2^2 + 
    9408000*ln2^3*sinf*z2^2 - 30340800*ln2^2*z2^3 - 57052800*ln2*sinf*z2^3 - 
    49190400*sinf^2*z2^3 - 51950952*z2^4 + 172368000*li5half*z3 + 
    225792000*li4half*ln2*z3 + 7971600*ln2^5*z3 + 49392000*li4half*sinf*z3 + 
    2058000*ln2^4*sinf*z3 - 37968000*ln2^3*z2*z3 + 
    12348000*ln2*sinf^2*z2*z3 + 148314600*ln2*z2^2*z3 + 
    7812000*sinf*z2^2*z3 + 86341500*ln2^2*z3^2 - 51471000*ln2*sinf*z3^2 - 
    52038000*sinf^2*z3^2 + 448245000*z2*z3^2 - 347949000*ln2^3*z5 - 
    264600000*ln2^2*sinf*z5 - 155232000*ln2*sinf^2*z5 + 
    1036098000*ln2*z2*z5 + 370629000*sinf*z2*z5 - 829702125*z3*z5 + 
    318858750*ln2*z7 - 737320500*sinf*z7)/56448000, 
 H[1, 1, -1, 0, 1, -1, 1, 1, 1] -> (48384000*li4half^2 + 1999872000*li8half - 
    1344000*li5half*ln2^3 - 23200*ln2^8 - 245952000*ln2^2*s6 + 
    695479050*s8a + 4307184000*s8b + 491904000*s8c + 354816000*s8d - 
    733824000*li7half*sinf - 20160000*li5half*ln2^2*sinf - 
    9408000*li4half*ln2^3*sinf - 78400*ln2^7*sinf + 161856000*ln2*s6*sinf - 
    161856000*s7a*sinf + 182880000*s7b*sinf + 72576000*li6half*sinf^2 - 
    20160000*li5half*ln2*sinf^2 - 6048000*li4half*ln2^2*sinf^2 + 
    16800*ln2^6*sinf^2 + 28224000*s6*sinf^2 - 72576000*li6half*z2 + 
    24192000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 464800*ln2^6*z2 - 
    1161216000*s6*z2 + 20160000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 1646400*ln2^5*sinf*z2 + 6048000*li4half*sinf^2*z2 + 
    1596000*ln2^4*sinf^2*z2 + 64915200*li4half*z2^2 - 14431200*ln2^4*z2^2 - 
    33196800*ln2^3*sinf*z2^2 - 15372000*ln2^2*sinf^2*z2^2 + 
    18007200*ln2^2*z2^3 - 66823200*ln2*sinf*z2^3 - 13154400*sinf^2*z2^3 - 
    111628872*z2^4 - 716688000*li5half*z3 + 7030800*ln2^5*z3 - 
    49392000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 
    1764000*ln2^3*sinf^2*z3 - 63252000*ln2^3*z2*z3 + 
    7056000*ln2^2*sinf*z2*z3 + 5292000*ln2*sinf^2*z2*z3 - 
    549460800*ln2*z2^2*z3 - 49402800*sinf*z2^2*z3 - 69174000*ln2^2*z3^2 - 
    202320000*ln2*sinf*z3^2 - 9261000*sinf^2*z3^2 - 499023000*z2*z3^2 + 
    609000*ln2^3*z5 - 302841000*ln2^2*sinf*z5 + 31122000*ln2*sinf^2*z5 - 
    1508661000*ln2*z2*z5 - 579105000*sinf*z2*z5 + 487903500*z3*z5 + 
    1635906375*sinf*z7)/8064000, H[1, 1, -1, 0, 1, -1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 3010560000*li8half - 25088000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 85400*ln2^8 + 319200000*ln2^2*s6 - 
    909505800*s8a - 5742912000*s8b - 638400000*s8c - 424704000*s8d + 
    1806336000*li7half*sinf - 75264000*li5half*ln2^2*sinf + 
    268800*ln2^7*sinf - 305760000*ln2*s6*sinf + 305760000*s7a*sinf - 
    456288000*s7b*sinf - 451584000*li6half*sinf^2 - 
    75264000*li5half*ln2*sinf^2 - 197568000*s6*sinf^2 + 
    1241856000*li6half*z2 + 188160000*li5half*ln2*z2 - 
    4704000*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 2020704000*s6*z2 - 
    131712000*li5half*sinf*z2 - 9408000*li4half*ln2*sinf*z2 + 
    1960000*ln2^5*sinf*z2 + 3136000*ln2^4*sinf^2*z2 - 77884800*li4half*z2^2 + 
    7456400*ln2^4*z2^2 + 30889600*ln2^3*sinf*z2^2 + 
    35750400*ln2^2*sinf^2*z2^2 - 72189600*ln2^2*z2^3 + 
    140733600*ln2*sinf*z2^3 + 63694400*sinf^2*z2^3 + 13370992*z2^4 + 
    849408000*li5half*z3 - 7078400*ln2^5*z3 + 18816000*li4half*sinf*z3 + 
    784000*ln2^4*sinf*z3 + 96460000*ln2^3*z2*z3 + 35280000*ln2^2*sinf*z2*z3 + 
    2940000*ln2*sinf^2*z2*z3 + 667598400*ln2*z2^2*z3 + 
    153644400*sinf*z2^2*z3 + 89775000*ln2^2*z3^2 + 382200000*ln2*sinf*z3^2 + 
    64680000*sinf^2*z3^2 + 471009000*z2*z3^2 + 9408000*ln2^3*z5 + 
    766458000*ln2^2*sinf*z5 + 28224000*ln2*sinf^2*z5 + 1790397000*ln2*z2*z5 + 
    1584366000*sinf*z2*z5 - 446061000*z3*z5 - 4240527375*sinf*z7)/18816000, 
 H[1, 1, -1, 0, 1, -1, 1, -1, 1] -> 
  (-19361664000*li8half - 225792000*li7half*ln2 + 169344000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 172200*ln2^8 + 
    2882880000*ln2^2*s6 - 56448000*ln2*s7a + 239904000*ln2*s7b - 
    7638460200*s8a - 46263168000*s8b - 5511744000*s8c - 3929184000*s8d + 
    6717312000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    84672000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf - 
    1176000*ln2^7*sinf - 1215648000*ln2*s6*sinf + 1356768000*s7a*sinf - 
    1733760000*s7b*sinf - 451584000*li6half*sinf^2 + 
    84672000*li5half*ln2*sinf^2 - 1332800*ln2^6*sinf^2 - 
    112896000*s6*sinf^2 + 282240000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 3880800*ln2^6*z2 + 12621168000*s6*z2 - 
    84672000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    3057600*ln2^5*sinf*z2 - 11760000*ln2^4*sinf^2*z2 - 
    798537600*li4half*z2^2 + 123606000*ln2^4*z2^2 + 
    259425600*ln2^3*sinf*z2^2 + 89611200*ln2^2*sinf^2*z2^2 - 
    340048800*ln2^2*z2^3 + 541094400*ln2*sinf*z2^3 + 80640000*sinf^2*z2^3 + 
    1083990528*z2^4 + 7950096000*li5half*z3 + 112896000*li4half*ln2*z3 - 
    68955600*ln2^5*z3 + 14112000*li4half*sinf*z3 - 17934000*ln2^4*sinf*z3 - 
    12348000*ln2^3*sinf^2*z3 + 667800000*ln2^3*z2*z3 + 
    97020000*ln2^2*sinf*z2*z3 + 26460000*ln2*sinf^2*z2*z3 + 
    5984823600*ln2*z2^2*z3 + 520858800*sinf*z2^2*z3 + 594720000*ln2^2*z3^2 + 
    1476342000*ln2*sinf*z3^2 + 36162000*sinf^2*z3^2 + 5946318000*z2*z3^2 - 
    332367000*ln2^3*z5 + 2653056000*ln2^2*sinf*z5 - 340893000*ln2*sinf^2*z5 + 
    16297974000*ln2*z2*z5 + 5530392000*sinf*z2*z5 - 6849785250*z3*z5 + 
    1045996875*ln2*z7 - 15314418000*sinf*z7)/56448000, 
 H[1, 1, -1, 0, 1, -1, 0, 1, 1] -> 
  (-108864000*li4half^2 + 322560000*li8half + 21504000*li5half*ln2^3 - 
    1008000*li4half*ln2^4 - 24200*ln2^8 - 5040000*ln2^2*s6 + 103529475*s8a + 
    770616000*s8b + 10080000*s8c + 151200000*s8d - 258048000*li7half*sinf + 
    64512000*li5half*ln2^2*sinf + 21504000*li4half*ln2^3*sinf + 
    409600*ln2^7*sinf + 40032000*ln2*s6*sinf - 40032000*s7a*sinf + 
    99072000*s7b*sinf + 96768000*li6half*sinf^2 + 
    64512000*li5half*ln2*sinf^2 + 16128000*li4half*ln2^2*sinf^2 + 
    268800*ln2^6*sinf^2 + 52416000*s6*sinf^2 + 145152000*li6half*z2 - 
    96768000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 28000*ln2^6*z2 - 
    310464000*s6*z2 - 169344000*li5half*sinf*z2 - 72576000*li4half*ln2*sinf*
     z2 - 2688000*ln2^5*sinf*z2 - 672000*ln2^4*sinf^2*z2 + 
    74793600*li4half*z2^2 + 2864400*ln2^4*z2^2 + 5544000*ln2^3*sinf*z2^2 + 
    1512000*ln2^2*sinf^2*z2^2 - 32702400*ln2^2*z2^3 - 
    39369600*ln2*sinf*z2^3 - 10944000*sinf^2*z2^3 - 88073784*z2^4 + 
    53424000*li4half*sinf*z3 + 2226000*ln2^4*sinf*z3 - 840000*ln2^3*z2*z3 - 
    15876000*ln2^2*sinf*z2*z3 - 2520000*ln2*sinf^2*z2*z3 - 
    8379000*ln2*z2^2*z3 - 50533200*sinf*z2^2*z3 - 1417500*ln2^2*z3^2 - 
    50040000*ln2*sinf*z3^2 - 18868500*sinf^2*z3^2 - 88452000*z2*z3^2 - 
    22974000*ln2^3*z5 - 203679000*ln2^2*sinf*z5 - 68922000*ln2*sinf^2*z5 + 
    49014000*ln2*z2*z5 - 111663000*sinf*z2*z5 + 51778125*z3*z5 + 
    725487750*sinf*z7)/8064000, H[1, 1, -1, 0, 1, -1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    2016000*ln2^2*s6 - 20408850*s8a - 125244000*s8b - 4032000*s8c - 
    30240000*s8d - 9936000*ln2*s6*sinf + 9936000*s7a*sinf - 
    16272000*s7b*sinf - 4032000*s6*sinf^2 - 48384000*li6half*z2 - 
    1008000*li4half*ln2^2*z2 - 109200*ln2^6*z2 + 55440000*s6*z2 + 
    32256000*li5half*sinf*z2 + 12096000*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 + 2016000*li4half*sinf^2*z2 + 
    84000*ln2^4*sinf^2*z2 - 13708800*li4half*z2^2 + 562800*ln2^4*z2^2 + 
    1932000*ln2^3*sinf*z2^2 + 1764000*ln2^2*sinf^2*z2^2 - 
    1423800*ln2^2*z2^3 - 2102400*ln2*sinf*z2^3 - 1677000*sinf^2*z2^3 + 
    16803084*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 - 
    6552000*li4half*sinf*z3 - 273000*ln2^4*sinf*z3 + 924000*ln2^3*z2*z3 + 
    2394000*ln2^2*sinf*z2*z3 + 756000*ln2*sinf^2*z2*z3 + 
    8719200*ln2*z2^2*z3 + 5938200*sinf*z2^2*z3 + 567000*ln2^2*z3^2 + 
    12420000*ln2*sinf*z3^2 + 1890000*sinf^2*z3^2 + 17750250*z2*z3^2 + 
    1795500*ln2^3*z5 + 30775500*ln2^2*sinf*z5 + 5386500*ln2*sinf^2*z5 + 
    1323000*ln2*z2*z5 + 8770500*sinf*z2*z5 - 35799750*z3*z5 - 
    56878875*sinf*z7)/2016000, H[1, 1, -1, 0, 1, -1, 0, -1, 1] -> 
  (-4515840000*li8half - 1806336000*li7half*ln2 - 677376000*li6half*ln2^2 - 
    150528000*li5half*ln2^3 + 560000*ln2^8 + 257040000*ln2^2*s6 - 
    243936000*ln2*s7a + 193536000*ln2*s7b - 1230404175*s8a - 7961688000*s8b - 
    760032000*s8c - 735840000*s8d - 1354752000*li6half*ln2*sinf - 
    451584000*li5half*ln2^2*sinf + 1881600*ln2^7*sinf - 
    770112000*ln2*s6*sinf + 36288000*s7a*sinf - 499968000*s7b*sinf - 
    1354752000*li6half*sinf^2 - 451584000*li5half*ln2*sinf^2 + 
    1881600*ln2^6*sinf^2 - 846720000*s6*sinf^2 + 2878848000*li6half*z2 + 
    1016064000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    7879200*ln2^6*z2 + 3870720000*s6*z2 + 84672000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 11289600*ln2^5*sinf*z2 + 
    56448000*li4half*sinf^2*z2 - 7056000*ln2^4*sinf^2*z2 - 
    147168000*li4half*z2^2 + 54079200*ln2^4*z2^2 + 
    110073600*ln2^3*sinf*z2^2 + 81849600*ln2^2*sinf^2*z2^2 - 
    177004800*ln2^2*z2^3 + 15523200*ln2*sinf*z2^3 + 110880000*sinf^2*z2^3 - 
    4247568*z2^4 + 1083600000*li5half*z3 + 49392000*li4half*ln2*z3 - 
    6972000*ln2^5*z3 - 127008000*li4half*sinf*z3 - 5292000*ln2^4*sinf*z3 + 
    87948000*ln2^3*z2*z3 + 61740000*ln2^2*sinf*z2*z3 + 
    29988000*ln2*sinf^2*z2*z3 + 749687400*ln2*z2^2*z3 + 
    185724000*sinf*z2^2*z3 + 36792000*ln2^2*z3^2 + 515025000*ln2*sinf*z3^2 + 
    310464000*sinf^2*z3^2 + 171580500*z2*z3^2 - 171843000*ln2^3*z5 + 
    1275372000*ln2^2*sinf*z5 + 755874000*ln2*sinf^2*z5 - 18900000*ln2*z2*z5 + 
    1131291000*sinf*z2*z5 - 95185125*z3*z5 + 2893574250*ln2*z7 - 
    2184840000*sinf*z7)/56448000, H[1, 1, -1, 0, 1, -1, -1, 1, 1] -> 
  (282240000*li8half - 169344000*li6half*ln2^2 - 47040000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 457800*ln2^8 + 87696000*ln2^2*s6 - 
    342857025*s8a - 1650600000*s8b - 316512000*s8c - 149184000*s8d + 
    225792000*li7half*sinf - 28224000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf + 582400*ln2^7*sinf - 100800000*ln2*s6*sinf + 
    100800000*s7a*sinf - 139104000*s7b*sinf - 28224000*li5half*ln2*sinf^2 + 
    235200*ln2^6*sinf^2 + 169344000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 3175200*ln2^6*z2 + 601776000*s6*z2 + 
    28224000*li5half*sinf*z2 - 3998400*ln2^5*sinf*z2 - 
    2352000*ln2^4*sinf^2*z2 - 22780800*li4half*z2^2 + 25863600*ln2^4*z2^2 + 
    34104000*ln2^3*sinf*z2^2 - 1411200*ln2^2*sinf^2*z2^2 - 
    110628000*ln2^2*z2^3 - 2469600*ln2*sinf*z2^3 + 504000*sinf^2*z2^3 - 
    67127184*z2^4 + 277200000*li5half*z3 - 2310000*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 + 23100000*ln2^3*z2*z3 + 
    1764000*ln2^2*sinf*z2*z3 + 284697000*ln2*z2^2*z3 + 
    42638400*sinf*z2^2*z3 + 103383000*ln2^2*z3^2 + 126000000*ln2*sinf*z3^2 + 
    260316000*z2*z3^2 + 73206000*ln2^3*z5 + 246960000*ln2^2*sinf*z5 + 
    14553000*ln2*sinf^2*z5 + 920430000*ln2*z2*z5 + 401562000*sinf*z2*z5 - 
    563590125*z3*z5 - 908326125*sinf*z7)/56448000, 
 H[1, 1, -1, 0, 1, -1, -1, 0, 1] -> (32256000*li4half^2 + 645120000*li8half + 
    5376000*li5half*ln2^3 + 2688000*li4half*ln2^4 + 27200*ln2^8 - 
    79632000*ln2^2*s6 + 220322025*s8a + 1431864000*s8b + 159264000*s8c + 
    122976000*s8d - 387072000*li7half*sinf + 16128000*li5half*ln2^2*sinf - 
    57600*ln2^7*sinf + 93312000*ln2*s6*sinf - 93312000*s7a*sinf + 
    104256000*s7b*sinf + 96768000*li6half*sinf^2 + 
    16128000*li5half*ln2*sinf^2 + 46368000*s6*sinf^2 - 314496000*li6half*z2 - 
    48384000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 134400*ln2^6*z2 - 
    548352000*s6*z2 + 40320000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 571200*ln2^5*sinf*z2 + 4032000*li4half*sinf^2*z2 - 
    504000*ln2^4*sinf^2*z2 + 6048000*li4half*z2^2 - 4603200*ln2^4*z2^2 - 
    13675200*ln2^3*sinf*z2^2 - 10180800*ln2^2*sinf^2*z2^2 + 
    29750400*ln2^2*z2^3 - 29116800*ln2*sinf*z2^3 - 13754400*sinf^2*z2^3 + 
    6347904*z2^4 - 270144000*li5half*z3 + 2251200*ln2^5*z3 - 
    27216000*li4half*sinf*z3 - 1134000*ln2^4*sinf*z3 - 22344000*ln2^3*z2*z3 + 
    7308000*ln2^2*sinf*z2*z3 + 504000*ln2*sinf^2*z2*z3 - 
    182914200*ln2*z2^2*z3 - 19364400*sinf*z2^2*z3 - 22396500*ln2^2*z3^2 - 
    116640000*ln2*sinf*z3^2 - 17545500*sinf^2*z3^2 - 106438500*z2*z3^2 - 
    2079000*ln2^3*z5 - 197631000*ln2^2*sinf*z5 - 6237000*ln2*sinf^2*z5 - 
    436023000*ln2*z2*z5 - 361881000*sinf*z2*z5 + 165997125*z3*z5 + 
    880843500*sinf*z7)/8064000, H[1, 1, -1, 0, 1, -1, -1, -1, 1] -> 
  (-4032000*li4half^2 + 645120000*li8half + 4032000*li5half*ln2^3 - 
    336000*li4half*ln2^4 - 24600*ln2^8 - 79632000*ln2^2*s6 + 220322025*s8a + 
    1431864000*s8b + 159264000*s8c + 122976000*s8d - 290304000*li7half*sinf - 
    48384000*li6half*ln2*sinf - 4032000*li5half*ln2^2*sinf + 
    1344000*li4half*ln2^3*sinf + 80000*ln2^7*sinf + 29088000*ln2*s6*sinf - 
    49248000*s7a*sinf + 47520000*s7b*sinf - 8064000*li6half*sinf^2 - 
    4032000*li5half*ln2*sinf^2 + 2016000*li4half*ln2^2*sinf^2 + 
    106400*ln2^6*sinf^2 - 19152000*s6*sinf^2 + 32256000*li6half*z2 + 
    8064000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 + 117600*ln2^6*z2 - 
    357840000*s6*z2 + 4032000*li5half*sinf*z2 - 4032000*li4half*ln2*sinf*z2 - 
    67200*ln2^5*sinf*z2 + 336000*ln2^4*sinf^2*z2 + 27417600*li4half*z2^2 - 
    4284000*ln2^4*z2^2 - 7190400*ln2^3*sinf*z2^2 - 100800*ln2^2*sinf^2*z2^2 + 
    2534400*ln2^2*z2^3 - 26244000*ln2*sinf*z2^3 - 2073600*sinf^2*z2^3 - 
    37382976*z2^4 - 253008000*li5half*z3 + 2108400*ln2^5*z3 + 
    1008000*li4half*sinf*z3 + 42000*ln2^4*sinf*z3 - 18732000*ln2^3*z2*z3 + 
    1512000*ln2^2*sinf*z2*z3 + 1764000*ln2*sinf^2*z2*z3 - 
    180419400*ln2*z2^2*z3 - 14040000*sinf*z2^2*z3 - 22396500*ln2^2*z3^2 - 
    44739000*ln2*sinf*z3^2 + 6741000*sinf^2*z3^2 - 184653000*z2*z3^2 - 
    42000*ln2^3*z5 - 64575000*ln2^2*sinf*z5 + 29169000*ln2*sinf^2*z5 - 
    536130000*ln2*z2*z5 - 171783000*sinf*z2*z5 + 179589375*z3*z5 + 
    543128625*sinf*z7)/8064000, H[1, 1, -1, 0, 0, 1, 1, 1, 1] -> 
  (3386880*li4half^2 - 2257920*li8half - 376320*li5half*ln2^3 - 2800*ln2^8 + 
    766080*ln2^2*s6 - 3062115*s8a - 907200*s8b - 1532160*s8c + 2096640*s8d + 
    2257920*li7half*sinf - 1128960*li5half*ln2^2*sinf - 
    752640*li4half*ln2^3*sinf - 22400*ln2^7*sinf + 2096640*ln2*s6*sinf - 
    2096640*s7a*sinf - 1532160*s7b*sinf - 1128960*li6half*sinf^2 - 
    1128960*li5half*ln2*sinf^2 - 564480*li4half*ln2^2*sinf^2 - 
    15680*ln2^6*sinf^2 + 282240*s6*sinf^2 + 1128960*li6half*z2 + 
    2257920*li5half*ln2*z2 + 564480*li4half*ln2^2*z2 + 47040*ln2^6*z2 - 
    4757760*s6*z2 + 1128960*li5half*sinf*z2 + 2257920*li4half*ln2*sinf*z2 + 
    188160*ln2^5*sinf*z2 + 564480*li4half*sinf^2*z2 + 94080*ln2^4*sinf^2*z2 - 
    1499904*li4half*z2^2 - 250656*ln2^4*z2^2 - 470400*ln2^3*sinf*z2^2 - 
    141120*ln2^2*sinf^2*z2^2 + 483840*ln2^2*z2^3 - 352800*ln2*sinf*z2^3 + 
    172704*sinf^2*z2^3 + 1563144*z2^4 - 6168960*li5half*z3 - 47376*ln2^5*z3 - 
    3951360*li4half*sinf*z3 - 411600*ln2^4*sinf*z3 - 164640*ln2^3*sinf^2*z3 + 
    450240*ln2^3*z2*z3 + 1905120*ln2^2*sinf*z2*z3 - 70560*ln2*sinf^2*z2*z3 + 
    1229256*ln2*z2^2*z3 + 4427136*sinf*z2^2*z3 + 215460*ln2^2*z3^2 - 
    2620800*ln2*sinf*z3^2 - 361620*sinf^2*z3^2 + 214200*z2*z3^2 + 
    194040*ln2^3*z5 + 35280*ln2^2*sinf*z5 + 582120*ln2*sinf^2*z5 + 
    3432240*ln2*z2*z5 + 3900960*sinf*z2*z5 - 4490325*z3*z5 - 
    20925765*sinf*z7)/1128960, H[1, 1, -1, 0, 0, 1, 1, 0, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 - 
    13104000*ln2^2*s6 + 46616850*s8a + 2520000*s8b + 26208000*s8c - 
    40320000*s8d - 40320000*ln2*s6*sinf + 40320000*s7a*sinf + 
    26208000*s7b*sinf - 7056000*s6*sinf^2 + 28224000*li6half*z2 + 
    39200*ln2^6*z2 + 101808000*s6*z2 - 28224000*li5half*sinf*z2 - 
    42336000*li4half*ln2*sinf*z2 - 1528800*ln2^5*sinf*z2 - 
    7056000*li4half*sinf^2*z2 - 294000*ln2^4*sinf^2*z2 + 
    35683200*li4half*z2^2 + 3544800*ln2^4*z2^2 + 8232000*ln2^3*sinf*z2^2 + 
    1764000*ln2^2*sinf^2*z2^2 - 11415600*ln2^2*z2^3 + 6552000*ln2*sinf*z2^3 - 
    327600*sinf^2*z2^3 - 18241164*z2^4 + 108864000*li5half*z3 - 
    907200*ln2^5*z3 + 45864000*li4half*sinf*z3 + 1911000*ln2^4*sinf*z3 - 
    5334000*ln2^3*z2*z3 - 36162000*ln2^2*sinf*z2*z3 - 
    6174000*ln2*sinf^2*z2*z3 + 25200*ln2*z2^2*z3 - 54721800*sinf*z2^2*z3 - 
    3685500*ln2^2*z3^2 + 50400000*ln2*sinf*z3^2 + 8820000*sinf^2*z3^2 - 
    57802500*z2*z3^2 + 3381000*ln2^3*z5 + 23814000*ln2^2*sinf*z5 + 
    10143000*ln2*sinf^2*z5 - 98910000*ln2*z2*z5 - 80073000*sinf*z2*z5 + 
    71757000*z3*z5 + 317606625*sinf*z7)/14112000, 
 H[1, 1, -1, 0, 0, 1, 1, -1, 1] -> (-84672000*li4half^2 - 451584000*li8half - 
    225792000*li7half*ln2 + 18816000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    270200*ln2^8 + 218736000*ln2^2*s6 - 209664000*ln2*s7a + 
    58464000*ln2*s7b - 200141550*s8a - 1646064000*s8b - 116928000*s8c - 
    249984000*s8d - 338688000*li7half*sinf + 56448000*li5half*ln2^2*sinf - 
    403200*ln2^7*sinf + 94752000*ln2*s6*sinf - 193536000*s7a*sinf + 
    215712000*s7b*sinf + 56448000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 - 392000*ln2^6*sinf^2 + 7056000*s6*sinf^2 - 
    56448000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 1724800*ln2^6*z2 + 725760000*s6*z2 - 
    56448000*li5half*sinf*z2 + 3763200*ln2^5*sinf*z2 + 
    3528000*ln2^4*sinf^2*z2 + 26208000*li4half*z2^2 - 84000*ln2^4*z2^2 - 
    47040000*ln2^3*sinf*z2^2 - 3880800*ln2^2*sinf^2*z2^2 - 
    70912800*ln2^2*z2^3 - 31197600*ln2*sinf*z2^3 - 13977600*sinf^2*z2^3 + 
    31395552*z2^4 + 598752000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    6224400*ln2^5*z3 + 12348000*ln2^4*sinf*z3 + 8232000*ln2^3*sinf^2*z3 + 
    28728000*ln2^3*z2*z3 - 7056000*ln2^2*sinf*z2*z3 - 
    26460000*ln2*sinf^2*z2*z3 + 126302400*ln2*z2^2*z3 - 
    91123200*sinf*z2^2*z3 - 162288000*ln2^2*z3^2 - 75222000*ln2*sinf*z3^2 + 
    3969000*sinf^2*z3^2 + 76230000*z2*z3^2 - 242109000*ln2^3*z5 - 
    343539000*ln2^2*sinf*z5 + 52920000*ln2*sinf^2*z5 + 64827000*ln2*z2*z5 - 
    699363000*sinf*z2*z5 - 244896750*z3*z5 + 1070771625*ln2*z7 + 
    1594868625*sinf*z7)/56448000, H[1, 1, -1, 0, 0, 1, 0, 1, 1] -> 
  (5443200*ln2^2*s6 - 31000725*s8a - 97876800*s8b - 10886400*s8c - 
    8870400*s8d - 8870400*ln2*s6*sinf + 8870400*s7a*sinf - 
    10886400*s7b*sinf - 9878400*s6*sinf^2 - 11289600*li6half*z2 - 
    15680*ln2^6*z2 + 20563200*s6*z2 + 11289600*li5half*sinf*z2 - 
    94080*ln2^5*sinf*z2 - 5644800*li4half*sinf^2*z2 - 
    235200*ln2^4*sinf^2*z2 - 14757120*li4half*z2^2 - 379680*ln2^4*z2^2 + 
    940800*ln2^3*sinf*z2^2 + 1411200*ln2^2*sinf^2*z2^2 + 2882880*ln2^2*z2^3 + 
    3840480*ln2*sinf*z2^3 + 386400*sinf^2*z2^3 + 9763248*z2^4 - 
    4838400*li5half*z3 + 40320*ln2^5*z3 + 22579200*li4half*sinf*z3 + 
    940800*ln2^4*sinf*z3 + 772800*ln2^3*z2*z3 - 2116800*ln2^2*sinf*z2*z3 + 
    3528000*ln2*sinf^2*z2*z3 + 11866680*ln2*z2^2*z3 + 236880*sinf*z2^2*z3 + 
    1530900*ln2^2*z3^2 + 11088000*ln2*sinf*z3^2 + 2601900*sinf^2*z3^2 + 
    16984800*z2*z3^2 + 1205400*ln2^3*z5 + 22755600*ln2^2*sinf*z5 + 
    3616200*ln2*sinf^2*z5 + 25426800*ln2*z2*z5 - 1008000*sinf*z2*z5 - 
    23954175*z3*z5 - 30291975*sinf*z7)/5644800, 
 H[1, 1, -1, 0, 0, 1, 0, 0, 1] -> (-5712000*ln2^2*s6 + 20249775*s8a + 
    99792000*s8b + 11424000*s8c + 16800000*s8d + 16800000*ln2*s6*sinf - 
    16800000*s7a*sinf + 11424000*s7b*sinf + 14112000*s6*sinf^2 - 
    73584000*s6*z2 - 12633600*li4half*z2^2 - 526400*ln2^4*z2^2 + 
    8240400*ln2^2*z2^3 + 1444800*ln2*sinf*z2^3 + 2276400*sinf^2*z2^3 - 
    280976*z2^4 - 24192000*li5half*z3 + 201600*ln2^5*z3 - 
    9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 - 2016000*ln2^3*z2*z3 + 
    2352000*ln2^2*sinf*z2*z3 - 12990600*ln2*z2^2*z3 + 11356800*sinf*z2^2*z3 - 
    1606500*ln2^2*z3^2 - 21000000*ln2*sinf*z3^2 - 5953500*sinf^2*z3^2 + 
    6499500*z2*z3^2 - 4410000*ln2^3*z5 - 40572000*ln2^2*sinf*z5 - 
    13230000*ln2*sinf^2*z5 - 7812000*ln2*z2*z5 - 22827000*sinf*z2*z5 + 
    18078375*z3*z5 - 10615500*sinf*z7)/4704000, 
 H[1, 1, -1, 0, 0, 1, 0, -1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    175392000*ln2^2*s6 + 122976000*ln2*s7a + 80640000*ln2*s7b + 
    136921050*s8a + 690984000*s8b + 147168000*s8c - 6048000*s8d - 
    68544000*ln2*s6*sinf + 110880000*s7a*sinf + 167328000*s7b*sinf + 
    70560000*s6*sinf^2 - 28224000*li6half*z2 - 70560000*li4half*ln2^2*z2 - 
    2979200*ln2^6*z2 - 192528000*s6*z2 + 28224000*li5half*sinf*z2 - 
    235200*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    588000*ln2^4*sinf^2*z2 - 130334400*li4half*z2^2 + 3977400*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 + 3528000*ln2^2*sinf^2*z2^2 + 
    83941200*ln2^2*z2^3 + 54684000*ln2*sinf*z2^3 + 18933600*sinf^2*z2^3 + 
    86191068*z2^4 - 23184000*li5half*z3 + 246960000*li4half*ln2*z3 + 
    10483200*ln2^5*z3 + 35280000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 - 
    68964000*ln2^3*z2*z3 - 24696000*ln2^2*sinf*z2*z3 - 
    15876000*ln2*sinf^2*z2*z3 - 204510600*ln2*z2^2*z3 - 
    48724200*sinf*z2^2*z3 + 43281000*ln2^2*z3^2 - 40887000*ln2*sinf*z3^2 - 
    22491000*sinf^2*z3^2 - 41359500*z2*z3^2 - 1470000*ln2^3*z5 - 
    182133000*ln2^2*sinf*z5 - 127449000*ln2*sinf^2*z5 - 422163000*ln2*z2*z5 - 
    440811000*sinf*z2*z5 - 207553500*z3*z5 + 104194125*ln2*z7 + 
    820732500*sinf*z7)/28224000, H[1, 1, -1, 0, 0, 1, -1, 1, 1] -> 
  (84672000*li4half^2 + 564480000*li8half - 112896000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 905800*ln2^8 - 
    253008000*ln2^2*s6 + 132744150*s8a + 1135008000*s8b + 237888000*s8c + 
    30240000*s8d + 225792000*li7half*sinf - 56448000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 1993600*ln2^7*sinf - 
    334656000*ln2*s6*sinf + 334656000*s7a*sinf - 243936000*s7b*sinf + 
    169344000*li6half*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    1411200*ln2^6*sinf^2 - 21168000*s6*sinf^2 - 56448000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 98784000*li4half*ln2^2*z2 - 1607200*ln2^6*z2 - 
    39312000*s6*z2 + 56448000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*
     z2 - 18345600*ln2^5*sinf*z2 - 28224000*li4half*sinf^2*z2 - 
    11760000*ln2^4*sinf^2*z2 - 113904000*li4half*z2^2 + 10189200*ln2^4*z2^2 + 
    104193600*ln2^3*sinf*z2^2 + 1411200*ln2^2*sinf^2*z2^2 + 
    44100000*ln2^2*z2^3 - 6804000*ln2*sinf*z2^3 - 27031200*sinf^2*z2^3 + 
    94341264*z2^4 - 258048000*li5half*z3 + 2150400*ln2^5*z3 + 
    197568000*li4half*sinf*z3 + 8232000*ln2^4*sinf*z3 - 
    12096000*ln2^3*z2*z3 - 158760000*ln2^2*sinf*z2*z3 + 
    28224000*ln2*sinf^2*z2*z3 - 232646400*ln2*z2^2*z3 - 
    4309200*sinf*z2^2*z3 + 35343000*ln2^2*z3^2 + 418320000*ln2*sinf*z3^2 - 
    882000*sinf^2*z3^2 - 237951000*z2*z3^2 + 108780000*ln2^3*z5 + 
    750141000*ln2^2*sinf*z5 + 52920000*ln2*sinf^2*z5 - 1092924000*ln2*z2*z5 + 
    545013000*sinf*z2*z5 + 137355750*z3*z5 - 1030388625*sinf*z7)/56448000, 
 H[1, 1, -1, 0, 0, 1, -1, 0, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 - 
    86184000*ln2^2*s6 + 258763050*s8a + 1231020000*s8b + 172368000*s8c + 
    152208000*s8d + 142128000*ln2*s6*sinf - 142128000*s7a*sinf + 
    97776000*s7b*sinf + 42336000*s6*sinf^2 - 112896000*li6half*z2 - 
    42336000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1960000*ln2^6*z2 - 
    602532000*s6*z2 - 14112000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*
     z2 + 1881600*ln2^5*sinf*z2 + 7056000*li4half*sinf^2*z2 + 
    294000*ln2^4*sinf^2*z2 + 42789600*li4half*z2^2 - 12623100*ln2^4*z2^2 - 
    27636000*ln2^3*sinf*z2^2 - 17640000*ln2^2*sinf^2*z2^2 + 
    82656000*ln2^2*z2^3 + 38379600*ln2*sinf*z2^3 + 4359600*sinf^2*z2^3 - 
    19449522*z2^4 - 258552000*li5half*z3 + 2154600*ln2^5*z3 - 
    45864000*li4half*sinf*z3 - 1911000*ln2^4*sinf*z3 - 21546000*ln2^3*z2*z3 + 
    11466000*ln2^2*sinf*z2*z3 - 192666600*ln2*z2^2*z3 + 
    4567500*sinf*z2^2*z3 - 24239250*ln2^2*z3^2 - 177660000*ln2*sinf*z3^2 - 
    15876000*sinf^2*z3^2 - 124535250*z2*z3^2 - 10216500*ln2^3*z5 - 
    263056500*ln2^2*sinf*z5 - 30649500*ln2*sinf^2*z5 - 353272500*ln2*z2*z5 - 
    236502000*sinf*z2*z5 + 454198500*z3*z5 + 274813875*sinf*z7)/14112000, 
 H[1, 1, -1, 0, 0, 1, -1, -1, 1] -> (33868800*li4half^2 + 225792000*li8half + 
    225792000*li7half*ln2 + 90316800*li6half*ln2^2 + 7526400*li5half*ln2^3 - 
    2822400*li4half*ln2^4 - 152880*ln2^8 - 34876800*ln2^2*s6 + 
    83059200*ln2*s7a - 43948800*ln2*s7b + 80271450*s8a + 517708800*s8b + 
    53222400*s8c + 42739200*s8d + 180633600*li7half*sinf + 
    135475200*li6half*ln2*sinf + 11289600*li5half*ln2^2*sinf - 
    15052800*li4half*ln2^3*sinf - 568960*ln2^7*sinf + 46771200*ln2*s6*sinf + 
    49190400*s7a*sinf + 4032000*s7b*sinf + 33868800*li6half*sinf^2 - 
    11289600*li4half*ln2^2*sinf^2 - 423360*ln2^6*sinf^2 + 
    43747200*s6*sinf^2 - 101606400*li6half*z2 - 11289600*li5half*ln2*z2 - 
    8467200*li4half*ln2^2*z2 + 540960*ln2^6*z2 - 225187200*s6*z2 + 
    22579200*li4half*ln2*sinf*z2 + 3575040*ln2^5*sinf*z2 + 
    2116800*ln2^4*sinf^2*z2 - 18829440*li4half*z2^2 - 5088720*ln2^4*z2^2 - 
    18910080*ln2^3*sinf*z2^2 - 5574240*ln2^2*sinf^2*z2^2 + 
    28778400*ln2^2*z2^3 + 10422720*ln2*sinf*z2^3 + 1041600*sinf^2*z2^3 + 
    6300744*z2^4 - 82656000*li5half*z3 + 43747200*li4half*ln2*z3 + 
    2511600*ln2^5*z3 - 5644800*li4half*sinf*z3 - 235200*ln2^4*sinf*z3 - 
    19353600*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 - 
    4586400*ln2*sinf^2*z2*z3 - 62435520*ln2*z2^2*z3 + 3250800*sinf*z2^2*z3 + 
    40509000*ln2^2*z3^2 - 22654800*ln2*sinf*z3^2 - 15258600*sinf^2*z3^2 - 
    8782200*z2*z3^2 + 92169000*ln2^3*z5 - 21520800*ln2^2*sinf*z5 - 
    37926000*ln2*sinf^2*z5 + 76595400*ln2*z2*z5 + 27493200*sinf*z2*z5 - 
    27521550*z3*z5 - 492450525*ln2*z7 - 185856300*sinf*z7)/11289600, 
 H[1, 1, -1, 0, 0, 0, 1, 1, 1] -> (-2688000*ln2^2*s6 + 12354300*s8a + 
    52080000*s8b + 5376000*s8c + 1680000*s8d + 1680000*ln2*s6*sinf - 
    1680000*s7a*sinf + 5376000*s7b*sinf + 3528000*s6*sinf^2 - 
    10416000*s6*z2 + 10214400*li4half*z2^2 + 425600*ln2^4*z2^2 - 
    2310000*ln2^2*z2^3 - 1125600*ln2*sinf*z2^3 + 198800*sinf^2*z2^3 - 
    5741072*z2^4 + 6048000*li5half*z3 - 50400*ln2^5*z3 - 
    9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 - 280000*ln2^3*z2*z3 - 
    2352000*ln2*sinf^2*z2*z3 - 5829600*ln2*z2^2*z3 - 3368400*sinf*z2^2*z3 - 
    756000*ln2^2*z3^2 - 2100000*ln2*sinf*z3^2 + 294000*sinf^2*z3^2 - 
    9618000*z2*z3^2 - 710500*ln2^3*z5 - 8967000*ln2^2*sinf*z5 - 
    2131500*ln2*sinf^2*z5 - 11865000*ln2*z2*z5 - 13881000*sinf*z2*z5 + 
    21081375*z3*z5 + 41866125*sinf*z7)/4704000, 
 H[1, 1, -1, 0, 0, 0, 1, 0, 1] -> (2688000*ln2^2*s6 - 6533100*s8a - 
    81480000*s8b - 5376000*s8c - 13440000*s8d - 13440000*ln2*s6*sinf + 
    13440000*s7a*sinf - 5376000*s7b*sinf - 9408000*s6*sinf^2 + 
    57456000*s6*z2 + 7660800*li4half*z2^2 + 319200*ln2^4*z2^2 - 
    3570000*ln2^2*z2^3 + 3007200*ln2*sinf*z2^3 - 669200*sinf^2*z2^3 + 
    182904*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 + 
    18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 + 672000*ln2^3*z2*z3 - 
    4704000*ln2^2*sinf*z2*z3 + 5947200*ln2*z2^2*z3 - 12213600*sinf*z2^2*z3 + 
    756000*ln2^2*z3^2 + 16800000*ln2*sinf*z3^2 + 1764000*sinf^2*z3^2 + 
    1680000*z2*z3^2 + 2940000*ln2^3*z5 + 27048000*ln2^2*sinf*z5 + 
    8820000*ln2*sinf^2*z5 - 1512000*ln2*z2*z5 + 16233000*sinf*z2*z5 - 
    15036000*z3*z5 + 1168125*sinf*z7)/4704000, 
 H[1, 1, -1, 0, 0, 0, 1, -1, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 + 
    34473600*ln2^2*s6 - 3830400*ln2*s7a + 7459200*ln2*s7b - 68285700*s8a - 
    333698400*s8b - 57052800*s8c - 30441600*s8d - 10684800*ln2*s6*sinf + 
    14918400*s7a*sinf - 23184000*s7b*sinf - 5644800*s6*sinf^2 + 
    8467200*li5half*ln2*z2 + 1411200*li4half*ln2^2*z2 - 11760*ln2^6*z2 + 
    108158400*s6*z2 - 8467200*li4half*ln2*sinf*z2 - 352800*ln2^5*sinf*z2 - 
    2207520*li4half*z2^2 + 790020*ln2^4*z2^2 + 3175200*ln2^3*sinf*z2^2 + 
    1058400*ln2^2*sinf^2*z2^2 - 15566040*ln2^2*z2^3 - 5690160*ln2*sinf*z2^3 - 
    824880*sinf^2*z2^3 - 2134374*z2^4 + 55238400*li5half*z3 - 
    4939200*li4half*ln2*z3 - 666120*ln2^5*z3 + 5644800*li4half*sinf*z3 + 
    235200*ln2^4*sinf*z3 + 6014400*ln2^3*z2*z3 - 882000*ln2^2*sinf*z2*z3 + 
    2116800*ln2*sinf^2*z2*z3 + 50880060*ln2*z2^2*z3 + 3216780*sinf*z2^2*z3 + 
    4910850*ln2^2*z3^2 + 21999600*ln2*sinf*z3^2 + 1455300*sinf^2*z3^2 + 
    56218050*z2*z3^2 - 9599100*ln2^3*z5 + 40924800*ln2^2*sinf*z5 + 
    4013100*ln2*sinf^2*z5 + 148806000*ln2*z2*z5 + 65280600*sinf*z2*z5 - 
    107255925*z3*z5 + 15858675*ln2*z7 - 101023650*sinf*z7)/2822400, 
 H[1, 1, -1, 0, 0, 0, 0, 1, 1] -> (1920*s8d + 1920*ln2*s6*sinf - 
    1920*s7a*sinf + 960*s6*sinf^2 - 960*s6*z2 - 768*ln2*sinf*z2^3 - 
    3840*li4half*sinf*z3 - 160*ln2^4*sinf*z3 + 960*ln2^2*sinf*z2*z3 + 
    1968*sinf*z2^2*z3 - 2400*ln2*sinf*z3^2 - 300*ln2^3*z5 - 
    2760*ln2^2*sinf*z5 - 900*ln2*sinf^2*z5 + 1800*ln2*z2*z5 + 
    6300*sinf*z2*z5 - 1575*z3*z5 - 13335*sinf*z7)/1920, 
 H[1, 1, -1, 0, 0, 0, 0, 0, 1] -> 
  (47040*s8b - 13440*s6*z2 + 10752*li4half*z2^2 + 448*ln2^4*z2^2 - 
    5712*ln2^2*z2^3 - 6048*ln2*sinf*z2^3 - 1488*sinf^2*z2^3 - 3504*z2^4 - 
    4032*sinf*z2^2*z3 - 12600*sinf*z2*z5 + 6720*z3*z5 + 53025*sinf*z7)/13440, 
 H[1, 1, -1, 0, 0, 0, 0, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    3024000*ln2^2*s6 - 2016000*ln2*s7a - 4032000*ln2*s7b - 1729350*s8a - 
    14112000*s8b + 2016000*ln2*s6*sinf - 4032000*s7b*sinf + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 1512000*s6*z2 + 
    2318400*li4half*z2^2 - 155400*ln2^4*z2^2 - 2016000*ln2^2*z2^3 - 
    2167200*ln2*sinf*z2^3 - 176400*sinf^2*z2^3 - 1958076*z2^4 + 
    3024000*li5half*z3 - 7056000*li4half*ln2*z3 - 319200*ln2^5*z3 - 
    3024000*li4half*sinf*z3 - 126000*ln2^4*sinf*z3 + 2016000*ln2^3*z2*z3 + 
    756000*ln2^2*sinf*z2*z3 + 4939200*ln2*z2^2*z3 + 2910600*sinf*z2^2*z3 - 
    2236500*ln2^2*z3^2 + 567000*ln2*sinf*z3^2 + 283500*sinf^2*z3^2 - 
    315000*z2*z3^2 + 2268000*ln2^3*z5 + 4851000*ln2^2*sinf*z5 + 
    945000*ln2*sinf^2*z5 + 10017000*ln2*z2*z5 + 13891500*sinf*z2*z5 + 
    5488875*z3*z5 + 1905750*ln2*z7 - 26097750*sinf*z7)/2016000, 
 H[1, 1, -1, 0, 0, 0, -1, 1, 1] -> (-37800000*ln2^2*s6 + 93719325*s8a + 
    445872000*s8b + 68544000*s8c + 44352000*s8d + 28896000*ln2*s6*sinf - 
    28896000*s7a*sinf + 32256000*s7b*sinf + 9408000*s6*sinf^2 - 
    14112000*li5half*ln2*z2 + 117600*ln2^6*z2 - 151032000*s6*z2 + 
    14112000*li4half*ln2*sinf*z2 + 588000*ln2^5*sinf*z2 + 
    9576000*li4half*z2^2 - 1365000*ln2^4*z2^2 - 5292000*ln2^3*sinf*z2^2 - 
    1764000*ln2^2*sinf^2*z2^2 + 20160000*ln2^2*z2^3 + 7240800*ln2*sinf*z2^3 + 
    1052800*sinf^2*z2^3 - 1826668*z2^4 - 73416000*li5half*z3 + 
    611800*ln2^5*z3 - 15288000*li4half*sinf*z3 - 637000*ln2^4*sinf*z3 - 
    6706000*ln2^3*z2*z3 + 2058000*ln2^2*sinf*z2*z3 - 
    4410000*ln2*sinf^2*z2*z3 - 67741800*ln2*z2^2*z3 - 3922800*sinf*z2^2*z3 - 
    12432000*ln2^2*z3^2 - 36120000*ln2*sinf*z3^2 - 1543500*sinf^2*z3^2 - 
    70885500*z2*z3^2 - 9163000*ln2^3*z5 - 75337500*ln2^2*sinf*z5 - 
    4704000*ln2*sinf^2*z5 - 186669000*ln2*z2*z5 - 80566500*sinf*z2*z5 + 
    143070375*z3*z5 + 123931500*sinf*z7)/4704000, 
 H[1, 1, -1, 0, 0, 0, -1, 0, 1] -> (3360000*ln2^2*s6 - 12120675*s8a - 
    55104000*s8b - 6720000*s8c - 12096000*s8d - 12096000*ln2*s6*sinf + 
    12096000*s7a*sinf - 6720000*s7b*sinf - 9408000*s6*sinf^2 + 
    58296000*s6*z2 + 8400000*li4half*z2^2 + 350000*ln2^4*z2^2 - 
    4300800*ln2^2*z2^3 + 1612800*ln2*sinf*z2^3 - 876400*sinf^2*z2^3 + 
    3857892*z2^4 + 10080000*li5half*z3 - 84000*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 840000*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 + 7434000*ln2*z2^2*z3 - 9886800*sinf*z2^2*z3 + 
    945000*ln2^2*z3^2 + 15120000*ln2*sinf*z3^2 + 2205000*sinf^2*z3^2 - 
    4809000*z2*z3^2 + 3136000*ln2^3*z5 + 27636000*ln2^2*sinf*z5 + 
    9408000*ln2*sinf^2*z5 - 32833500*ln2*z2*z5 + 4525500*sinf*z2*z5 - 
    15597750*z3*z5 + 19711125*sinf*z7)/4704000, 
 H[1, 1, -1, 0, 0, 0, -1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    336000*ln2^2*s6 - 9408000*ln2*s7a - 23520000*ln2*s7b + 15483825*s8a + 
    70224000*s8b + 13440000*s8c + 7728000*s8d - 1680000*ln2*s6*sinf - 
    10080000*s7a*sinf - 10080000*s7b*sinf - 5880000*s6*sinf^2 + 
    7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 - 14280000*s6*z2 + 
    12835200*li4half*z2^2 - 347200*ln2^4*z2^2 - 4477200*ln2^2*z2^3 - 
    3864000*ln2*sinf*z2^3 - 1204000*sinf^2*z2^3 - 2960348*z2^4 - 
    14280000*li5half*z3 - 24696000*li4half*ln2*z3 - 910000*ln2^5*z3 - 
    1176000*li4half*sinf*z3 - 49000*ln2^4*sinf*z3 + 5376000*ln2^3*z2*z3 + 
    1470000*ln2^2*sinf*z2*z3 + 1176000*ln2*sinf^2*z2*z3 + 
    3360000*ln2*z2^2*z3 + 3074400*sinf*z2^2*z3 - 2220750*ln2^2*z3^2 + 
    4672500*ln2*sinf*z3^2 + 2021250*sinf^2*z3^2 - 22501500*z2*z3^2 + 
    24353000*ln2^3*z5 + 20653500*ln2^2*sinf*z5 + 9261000*ln2*sinf^2*z5 - 
    703500*ln2*z2*z5 + 20349000*sinf*z2*z5 + 52804500*z3*z5 - 
    98526750*ln2*z7 - 46184250*sinf*z7)/4704000, 
 H[1, 1, -1, 0, 0, -1, 1, 1, 1] -> 
  (-3628800*li4half^2 + 268800*li5half*ln2^3 - 302400*li4half*ln2^4 - 
    8540*ln2^8 - 3225600*li7half*sinf + 1612800*li5half*ln2^2*sinf + 
    268800*li4half*ln2^3*sinf - 1600*ln2^7*sinf + 1670400*ln2*s6*sinf - 
    1670400*s7a*sinf + 3168000*s7b*sinf + 1612800*li5half*ln2*sinf^2 + 
    403200*li4half*ln2^2*sinf^2 + 3360*ln2^6*sinf^2 + 1008000*s6*sinf^2 - 
    2419200*li5half*ln2*z2 - 403200*li4half*ln2^2*z2 + 25760*ln2^6*z2 - 
    1008000*s6*z2 - 1612800*li5half*sinf*z2 - 806400*li4half*ln2*sinf*z2 + 
    33600*ln2^5*sinf*z2 - 403200*li4half*sinf^2*z2 + 16800*ln2^4*sinf^2*z2 + 
    1733760*li4half*z2^2 - 15120*ln2^4*z2^2 - 346080*ln2^3*sinf*z2^2 + 
    236880*ln2^2*sinf^2*z2^2 - 277200*ln2^2*z2^3 + 305280*ln2*sinf*z2^3 + 
    273360*sinf^2*z2^3 - 395328*z2^4 + 1411200*li5half*z3 - 11760*ln2^5*z3 + 
    1411200*li4half*sinf*z3 + 58800*ln2^4*sinf*z3 - 100800*ln2^3*z2*z3 - 
    25200*ln2^2*sinf*z2*z3 - 655200*ln2*sinf^2*z2*z3 + 1380960*ln2*z2^2*z3 - 
    1210680*sinf*z2^2*z3 - 2088000*ln2*sinf*z3^2 - 173250*sinf^2*z3^2 - 
    973350*z2*z3^2 + 252000*ln2^3*z5 - 7056000*ln2^2*sinf*z5 - 
    2368800*ln2*sinf^2*z5 + 1612800*ln2*z2*z5 - 7088400*sinf*z2*z5 + 
    1323000*z3*z5 + 16987275*sinf*z7)/806400, 
 H[1, 1, -1, 0, 0, -1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    59136000*ln2^2*s6 - 149435475*s8a - 825888000*s8b - 118272000*s8c - 
    98112000*s8d - 91392000*ln2*s6*sinf + 91392000*s7a*sinf - 
    68544000*s7b*sinf - 28224000*s6*sinf^2 - 9408000*li5half*ln2*z2 - 
    32928000*li4half*ln2^2*z2 - 1293600*ln2^6*z2 + 332640000*s6*z2 + 
    37632000*li5half*sinf*z2 - 9408000*li4half*ln2*sinf*z2 - 
    705600*ln2^5*sinf*z2 - 21739200*li4half*z2^2 + 8306200*ln2^4*z2^2 + 
    16072000*ln2^3*sinf*z2^2 + 10584000*ln2^2*sinf^2*z2^2 - 
    54314400*ln2^2*z2^3 - 21369600*ln2*sinf*z2^3 - 4393200*sinf^2*z2^3 + 
    3580704*z2^4 + 177408000*li5half*z3 - 1478400*ln2^5*z3 + 
    18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 + 14784000*ln2^3*z2*z3 - 
    4704000*ln2^2*sinf*z2*z3 + 132161400*ln2*z2^2*z3 - 5313000*sinf*z2^2*z3 + 
    16632000*ln2^2*z3^2 + 114240000*ln2*sinf*z3^2 + 10584000*sinf^2*z3^2 + 
    106858500*z2*z3^2 + 8379000*ln2^3*z5 + 180075000*ln2^2*sinf*z5 + 
    25137000*ln2*sinf^2*z5 + 340998000*ln2*z2*z5 + 149457000*sinf*z2*z5 - 
    270209625*z3*z5 - 200686500*sinf*z7)/9408000, 
 H[1, 1, -1, 0, 0, -1, 1, -1, 1] -> 
  (564480000*li8half + 225792000*li7half*ln2 - 18816000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 714000*ln2^8 - 81648000*ln2^2*s6 - 
    28224000*ln2*s7a - 197568000*ln2*s7b + 251765325*s8a + 1355256000*s8b + 
    219744000*s8c + 20160000*s8d + 451584000*li7half*sinf - 
    112896000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    1635200*ln2^7*sinf - 233856000*ln2*s6*sinf + 233856000*s7a*sinf - 
    443520000*s7b*sinf - 112896000*li5half*ln2*sinf^2 + 940800*ln2^6*sinf^2 - 
    141120000*s6*sinf^2 + 169344000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 1097600*ln2^6*z2 - 19152000*s6*z2 + 
    112896000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    15523200*ln2^5*sinf*z2 - 9408000*ln2^4*sinf^2*z2 + 
    37900800*li4half*z2^2 + 7694400*ln2^4*z2^2 + 94785600*ln2^3*sinf*z2^2 - 
    5644800*ln2^2*sinf^2*z2^2 - 38001600*ln2^2*z2^3 - 
    50500800*ln2*sinf*z2^3 - 26544000*sinf^2*z2^3 + 16864752*z2^4 - 
    209664000*li5half*z3 - 218736000*li4half*ln2*z3 - 7366800*ln2^5*z3 + 
    28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 + 41916000*ln2^3*z2*z3 - 
    130536000*ln2^2*sinf*z2*z3 + 14112000*ln2*sinf^2*z2*z3 - 
    127902600*ln2*z2^2*z3 + 84823200*sinf*z2^2*z3 + 31059000*ln2^2*z3^2 + 
    486801000*ln2*sinf*z3^2 + 49392000*sinf^2*z3^2 - 322686000*z2*z3^2 + 
    191982000*ln2^3*z5 + 958734000*ln2^2*sinf*z5 + 302526000*ln2*sinf^2*z5 - 
    459900000*ln2*z2*z5 + 1021482000*sinf*z2*z5 + 347846625*z3*z5 - 
    1445708250*ln2*z7 - 2208874500*sinf*z7)/56448000, 
 H[1, 1, -1, 0, 0, -1, 0, 1, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 
    2016000*ln2^2*s6 - 3973200*s8a - 10416000*s8b - 4032000*s8c + 
    2352000*s8d + 336000*ln2*s6*sinf - 336000*s7a*sinf - 2016000*s7b*sinf - 
    840000*s6*sinf^2 - 1344000*li5half*ln2*z2 + 336000*li4half*ln2^2*z2 + 
    25200*ln2^6*z2 - 4704000*s6*z2 - 2688000*li5half*sinf*z2 - 
    1344000*li4half*ln2*sinf*z2 - 33600*ln2^5*sinf*z2 + 
    1293600*li4half*z2^2 - 16100*ln2^4*z2^2 + 112000*ln2^3*sinf*z2^2 - 
    634200*ln2^2*z2^3 - 504000*ln2*sinf*z2^3 - 106000*sinf^2*z2^3 - 
    1528102*z2^4 + 1512000*li5half*z3 - 12600*ln2^5*z3 + 
    840000*li4half*sinf*z3 + 35000*ln2^4*sinf*z3 + 378000*ln2^3*z2*z3 + 
    546000*ln2^2*sinf*z2*z3 + 756000*ln2*sinf^2*z2*z3 + 4422600*ln2*z2^2*z3 + 
    951300*sinf*z2^2*z3 + 567000*ln2^2*z3^2 - 420000*ln2*sinf*z3^2 + 
    78750*sinf^2*z3^2 + 4536000*z2*z3^2 + 73500*ln2^3*z5 + 
    1848000*ln2^2*sinf*z5 + 220500*ln2*sinf^2*z5 + 16863000*ln2*z2*z5 + 
    8022000*sinf*z2*z5 - 6019125*z3*z5 - 12222000*sinf*z7)/672000, 
 H[1, 1, -1, 0, 0, -1, 0, 0, 1] -> 
  (7056000*li4half^2 + 588000*li4half*ln2^4 + 12250*ln2^8 - 
    9576000*ln2^2*s6 + 20487600*s8a + 87192000*s8b + 19152000*s8c + 
    2016000*s8d + 9072000*ln2*s6*sinf - 9072000*s7a*sinf + 
    12096000*s7b*sinf + 10584000*s6*sinf^2 - 3528000*li4half*ln2^2*z2 - 
    147000*ln2^6*z2 - 37548000*s6*z2 - 12121200*li4half*z2^2 - 
    64050*ln2^4*z2^2 + 6180300*ln2^2*z2^3 + 907200*ln2*sinf*z2^3 + 
    1449000*sinf^2*z2^3 + 3310296*z2^4 - 23436000*li5half*z3 + 
    195300*ln2^5*z3 - 5292000*li4half*sinf*z3 - 220500*ln2^4*sinf*z3 - 
    1953000*ln2^3*z2*z3 + 1323000*ln2^2*sinf*z2*z3 - 20922300*ln2*z2^2*z3 + 
    3071250*sinf*z2^2*z3 - 2693250*ln2^2*z3^2 - 11340000*ln2*sinf*z3^2 - 
    3472875*sinf^2*z3^2 - 7308000*z2*z3^2 - 3528000*ln2^3*z5 - 
    31090500*ln2^2*sinf*z5 - 10584000*ln2*sinf^2*z5 - 36288000*ln2*z2*z5 - 
    31232250*sinf*z2*z5 + 35925750*z3*z5 + 31948875*sinf*z7)/3528000, 
 H[1, 1, -1, 0, 0, -1, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    55944000*ln2^2*s6 + 57456000*ln2*s7a + 22176000*ln2*s7b + 55262025*s8a + 
    206640000*s8b + 32256000*s8c + 38304000*s8d - 13104000*ln2*s6*sinf + 
    48384000*s7a*sinf + 48384000*s7b*sinf + 35280000*s6*sinf^2 - 
    14112000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 764400*ln2^6*z2 - 
    182448000*s6*z2 - 28224000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*
     z2 - 352800*ln2^5*sinf*z2 - 18799200*li4half*z2^2 + 1568700*ln2^4*z2^2 + 
    1176000*ln2^3*sinf*z2^2 + 21848400*ln2^2*z2^3 + 8391600*ln2*sinf*z2^3 + 
    7077000*sinf^2*z2^3 - 19936986*z2^4 - 34272000*li5half*z3 + 
    74088000*li4half*ln2*z3 + 3372600*ln2^5*z3 + 7056000*li4half*sinf*z3 + 
    294000*ln2^4*sinf*z3 - 22848000*ln2^3*z2*z3 - 6174000*ln2^2*sinf*z2*z3 - 
    4410000*ln2*sinf^2*z2*z3 - 64549800*ln2*z2^2*z3 - 13689900*sinf*z2^2*z3 + 
    29027250*ln2^2*z3^2 - 16033500*ln2*sinf*z3^2 - 12127500*sinf^2*z3^2 + 
    7394625*z2*z3^2 + 14406000*ln2^3*z5 - 59314500*ln2^2*sinf*z5 - 
    59314500*ln2*sinf^2*z5 + 12505500*ln2*z2*z5 - 58999500*sinf*z2*z5 + 
    47549250*z3*z5 + 254275875*ln2*z7 + 200395125*sinf*z7)/14112000, 
 H[1, 1, -1, 0, 0, -1, -1, 1, 1] -> 
  (-67737600*li4half^2 - 135475200*li8half + 45158400*li6half*ln2^2 + 
    30105600*li5half*ln2^3 - 73920*ln2^8 + 71366400*ln2^2*s6 - 74976300*s8a - 
    374774400*s8b - 80640000*s8c + 12902400*s8d - 67737600*li7half*sinf + 
    45158400*li5half*ln2^2*sinf + 11289600*li4half*ln2^3*sinf + 
    107520*ln2^7*sinf + 20563200*ln2*s6*sinf - 20563200*s7a*sinf + 
    30240000*s7b*sinf - 45158400*li6half*sinf^2 + 
    11289600*li5half*ln2*sinf^2 + 5644800*li4half*ln2^2*sinf^2 + 
    78400*ln2^6*sinf^2 - 22579200*s6*sinf^2 - 90316800*li5half*ln2*z2 - 
    19756800*li4half*ln2^2*z2 + 180320*ln2^6*z2 - 403200*s6*z2 - 
    45158400*li5half*sinf*z2 - 22579200*li4half*ln2*sinf*z2 + 
    94080*ln2^5*sinf*z2 - 5644800*li4half*sinf^2*z2 + 
    235200*ln2^4*sinf^2*z2 + 26288640*li4half*z2^2 + 1354080*ln2^4*z2^2 + 
    893760*ln2^3*sinf*z2^2 + 8114400*ln2^2*sinf^2*z2^2 - 
    21157920*ln2^2*z2^3 - 2731680*ln2*sinf*z2^3 + 7099680*sinf^2*z2^3 - 
    18391512*z2^4 + 109670400*li5half*z3 - 1901760*ln2^5*z3 + 
    36691200*li4half*sinf*z3 - 940800*ln2^4*sinf*z3 - 
    1646400*ln2^3*sinf^2*z3 + 15489600*ln2^3*z2*z3 + 
    8820000*ln2^2*sinf*z2*z3 - 705600*ln2*sinf^2*z2*z3 + 
    94394160*ln2*z2^2*z3 - 19983600*sinf*z2^2*z3 - 9563400*ln2^2*z3^2 - 
    25704000*ln2*sinf*z3^2 + 9305100*sinf^2*z3^2 + 78957900*z2*z3^2 - 
    50009400*ln2^3*z5 - 109015200*ln2^2*sinf*z5 - 13318200*ln2*sinf^2*z5 + 
    361519200*ln2*z2*z5 - 30618000*sinf*z2*z5 - 98995050*z3*z5 + 
    179709075*sinf*z7)/11289600, H[1, 1, -1, 0, 0, -1, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    13104000*ln2^2*s6 + 15321600*s8a + 28224000*s8b + 26208000*s8c - 
    22176000*s8d - 2016000*ln2*s6*sinf + 2016000*s7a*sinf + 
    6048000*s7b*sinf + 2016000*s6*sinf^2 + 48384000*li6half*z2 + 
    40320000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 - 100800*ln2^6*z2 + 
    69552000*s6*z2 + 20160000*li5half*sinf*z2 + 4032000*li4half*ln2*sinf*z2 - 
    8568000*li4half*z2^2 + 483000*ln2^4*z2^2 + 672000*ln2^3*sinf*z2^2 + 
    4989600*ln2^2*z2^3 + 6451200*ln2*sinf*z2^3 + 406800*sinf^2*z2^3 + 
    7783956*z2^4 - 4032000*li5half*z3 + 33600*ln2^5*z3 - 
    1008000*li4half*sinf*z3 - 42000*ln2^4*sinf*z3 - 4452000*ln2^3*z2*z3 - 
    6804000*ln2^2*sinf*z2*z3 - 1764000*ln2*sinf^2*z2*z3 - 
    18408600*ln2*z2^2*z3 - 2532600*sinf*z2^2*z3 - 3685500*ln2^2*z3^2 + 
    2520000*ln2*sinf*z3^2 - 535500*sinf^2*z3^2 - 32382000*z2*z3^2 - 
    336000*ln2^3*z5 - 4914000*ln2^2*sinf*z5 - 1008000*ln2*sinf^2*z5 - 
    142033500*ln2*z2*z5 - 41359500*sinf*z2*z5 + 13190625*z3*z5 + 
    43139250*sinf*z7)/4032000, H[1, 1, -1, 0, 0, -1, -1, -1, 1] -> 
  (28224000*li4half^2 - 1016064000*li8half - 1128960000*li7half*ln2 - 
    564480000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    11760000*li4half*ln2^4 + 130200*ln2^8 - 86688000*ln2^2*s6 - 
    213696000*ln2*s7a + 266112000*ln2*s7b - 150713325*s8a - 1657656000*s8b - 
    34272000*s8c - 219744000*s8d - 790272000*li7half*sinf - 
    677376000*li6half*ln2*sinf - 225792000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf + 313600*ln2^7*sinf - 217728000*ln2*s6*sinf - 
    106848000*s7a*sinf + 288288000*s7b*sinf - 112896000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 + 313600*ln2^6*sinf^2 - 7056000*s6*sinf^2 + 
    451584000*li6half*z2 + 282240000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 2391200*ln2^6*z2 + 735840000*s6*z2 + 
    56448000*li5half*sinf*z2 - 3763200*ln2^5*sinf*z2 - 
    2352000*ln2^4*sinf^2*z2 - 66528000*li4half*z2^2 + 6048000*ln2^4*z2^2 + 
    4704000*ln2^3*sinf*z2^2 + 13759200*ln2^2*z2^3 + 51458400*ln2*sinf*z2^3 + 
    23116800*sinf^2*z2^3 + 21232248*z2^4 + 298368000*li5half*z3 + 
    35280000*li4half*ln2*z3 + 3922800*ln2^5*z3 + 12348000*ln2^4*sinf*z3 + 
    8232000*ln2^3*sinf^2*z3 - 21588000*ln2^3*z2*z3 - 
    38808000*ln2^2*sinf*z2*z3 - 14112000*ln2*sinf^2*z2*z3 + 
    33377400*ln2*z2^2*z3 - 83059200*sinf*z2^2*z3 - 129339000*ln2^2*z3^2 - 
    76671000*ln2*sinf*z3^2 + 6174000*sinf^2*z3^2 + 26145000*z2*z3^2 - 
    242109000*ln2^3*z5 - 165816000*ln2^2*sinf*z5 - 15435000*ln2*sinf^2*z5 - 
    895419000*ln2*z2*z5 - 843759000*sinf*z2*z5 + 15222375*z3*z5 + 
    2701156500*ln2*z7 + 2117422125*sinf*z7)/56448000, 
 H[1, 1, -1, 0, -1, 1, 1, 1, 1] -> 
  (-112896000*li4half^2 - 4515840000*li8half + 37632000*li5half*ln2^3 - 
    229600*ln2^8 + 471744000*ln2^2*s6 - 1234273950*s8a - 5982480000*s8b - 
    943488000*s8c - 16128000*s8d + 1693440000*li7half*sinf + 
    112896000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf - 
    492800*ln2^7*sinf - 88704000*ln2*s6*sinf + 88704000*s7a*sinf - 
    348768000*s7b*sinf - 112896000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 - 
    509600*ln2^6*sinf^2 - 28224000*s6*sinf^2 + 112896000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 3018400*ln2^6*z2 + 
    540288000*s6*z2 - 112896000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 + 3292800*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 + 
    588000*ln2^4*sinf^2*z2 + 10886400*li4half*z2^2 + 14800800*ln2^4*z2^2 + 
    41160000*ln2^3*sinf*z2^2 + 27165600*ln2^2*sinf^2*z2^2 - 
    43898400*ln2^2*z2^3 + 159516000*ln2*sinf*z2^3 + 28173600*sinf^2*z2^3 + 
    222793848*z2^4 + 229824000*li5half*z3 - 14263200*ln2^5*z3 + 
    98784000*li4half*sinf*z3 - 20580000*ln2^4*sinf*z3 - 
    12348000*ln2^3*sinf^2*z3 + 134400000*ln2^3*z2*z3 + 
    98784000*ln2^2*sinf*z2*z3 + 12348000*ln2*sinf^2*z2*z3 + 
    1015333200*ln2*z2^2*z3 + 265734000*sinf*z2^2*z3 + 132678000*ln2^2*z3^2 + 
    110880000*ln2*sinf*z3^2 - 14112000*sinf^2*z3^2 + 815220000*z2*z3^2 - 
    45864000*ln2^3*z5 + 286209000*ln2^2*sinf*z5 - 137592000*ln2*sinf^2*z5 + 
    3105648000*ln2*z2*z5 + 1175769000*sinf*z2*z5 - 275388750*z3*z5 - 
    4018951125*sinf*z7)/56448000, H[1, 1, -1, 0, -1, 1, 1, 0, 1] -> 
  (-70560000*li4half^2 + 2257920000*li8half + 18816000*li5half*ln2^3 - 
    5880000*li4half*ln2^4 - 223300*ln2^8 - 235872000*ln2^2*s6 + 
    617136975*s8a + 2991240000*s8b + 471744000*s8c + 8064000*s8d - 
    1354752000*li7half*sinf + 56448000*li5half*ln2^2*sinf - 
    201600*ln2^7*sinf + 44352000*ln2*s6*sinf - 44352000*s7a*sinf + 
    308448000*s7b*sinf + 338688000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 + 127008000*s6*sinf^2 - 
    1016064000*li6half*z2 - 112896000*li5half*ln2*z2 - 470400*ln2^6*z2 - 
    707616000*s6*z2 + 112896000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 5409600*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    2940000*ln2^4*sinf^2*z2 + 48182400*li4half*z2^2 + 8240400*ln2^4*z2^2 + 
    11524800*ln2^3*sinf*z2^2 - 12700800*ln2^2*sinf^2*z2^2 + 
    46468800*ln2^2*z2^3 - 93441600*ln2*sinf*z2^3 - 47468400*sinf^2*z2^3 + 
    18062196*z2^4 - 86688000*li5half*z3 - 3528000*li4half*ln2*z3 + 
    575400*ln2^5*z3 + 91728000*li4half*sinf*z3 + 3822000*ln2^4*sinf*z3 - 
    80136000*ln2^3*z2*z3 - 114660000*ln2^2*sinf*z2*z3 - 
    17640000*ln2*sinf^2*z2*z3 - 413028000*ln2*z2^2*z3 - 
    210130200*sinf*z2^2*z3 - 61708500*ln2^2*z3^2 - 46179000*ln2*sinf*z3^2 - 
    29326500*sinf^2*z3^2 - 371448000*z2*z3^2 - 4116000*ln2^3*z5 - 
    354123000*ln2^2*sinf*z5 - 12348000*ln2*sinf^2*z5 - 1390536000*ln2*z2*z5 - 
    1119951000*sinf*z2*z5 + 210900375*z3*z5 + 3351576375*sinf*z7)/28224000, 
 H[1, 1, -1, 0, -1, 1, 1, -1, 1] -> 
  (-282240000*li8half - 161280000*li7half*ln2 - 24192000*li6half*ln2^2 - 
    8064000*li5half*ln2^3 - 336000*li4half*ln2^4 + 44600*ln2^8 + 
    59184000*ln2^2*s6 - 29952000*ln2*s7a + 30528000*ln2*s7b - 180751725*s8a - 
    1194984000*s8b - 106848000*s8c - 161280000*s8d - 145152000*li7half*sinf - 
    48384000*li6half*ln2*sinf - 24192000*li5half*ln2^2*sinf + 
    163200*ln2^7*sinf - 27648000*ln2*s6*sinf - 20736000*s7a*sinf + 
    27648000*s7b*sinf - 24192000*li6half*sinf^2 - 
    24192000*li5half*ln2*sinf^2 + 168000*ln2^6*sinf^2 - 24192000*s6*sinf^2 + 
    48384000*li6half*z2 + 48384000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 - 812000*ln2^6*z2 + 505008000*s6*z2 + 
    24192000*li5half*sinf*z2 - 1814400*ln2^5*sinf*z2 - 
    1512000*ln2^4*sinf^2*z2 - 31248000*li4half*z2^2 + 5216400*ln2^4*z2^2 + 
    9878400*ln2^3*sinf*z2^2 - 604800*ln2^2*sinf^2*z2^2 - 
    34164000*ln2^2*z2^3 - 10195200*ln2*sinf*z2^3 + 201600*sinf^2*z2^3 + 
    29418624*z2^4 + 280224000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    865200*ln2^5*z3 + 3528000*ln2^4*sinf*z3 + 1764000*ln2^3*sinf^2*z3 + 
    5712000*ln2^3*z2*z3 - 21168000*ln2^2*sinf*z2*z3 - 
    5292000*ln2*sinf^2*z2*z3 + 111893400*ln2*z2^2*z3 - 
    15357600*sinf*z2^2*z3 + 1872000*ln2^2*z3^2 + 22653000*ln2*sinf*z3^2 + 
    10395000*sinf^2*z3^2 + 100800000*z2*z3^2 - 41622000*ln2^3*z5 + 
    4032000*ln2^2*sinf*z5 + 50904000*ln2*sinf^2*z5 + 127170000*ln2*z2*z5 - 
    133632000*sinf*z2*z5 - 242479125*z3*z5 + 416346750*ln2*z7 + 
    338634000*sinf*z7)/8064000, H[1, 1, -1, 0, -1, 1, 0, 1, 1] -> 
  (28224000*li4half^2 - 90316800*li8half - 6021120*li5half*ln2^3 + 
    94080*li4half*ln2^4 + 2856*ln2^8 - 5483520*ln2^2*s6 - 17963190*s8a - 
    199140480*s8b + 10967040*s8c - 52738560*s8d + 72253440*li7half*sinf - 
    18063360*li5half*ln2^2*sinf - 6021120*li4half*ln2^3*sinf - 
    114688*ln2^7*sinf - 13708800*ln2*s6*sinf + 13708800*s7a*sinf - 
    21853440*s7b*sinf - 27095040*li6half*sinf^2 - 
    18063360*li5half*ln2*sinf^2 - 4515840*li4half*ln2^2*sinf^2 - 
    75264*ln2^6*sinf^2 - 12983040*s6*sinf^2 - 27095040*li6half*z2 + 
    36126720*li5half*ln2*z2 + 5080320*li4half*ln2^2*z2 - 1568*ln2^6*z2 + 
    113379840*s6*z2 + 49674240*li5half*sinf*z2 + 18063360*li4half*ln2*sinf*
     z2 + 639744*ln2^5*sinf*z2 + 188160*ln2^4*sinf^2*z2 - 
    22458240*li4half*z2^2 - 535920*ln2^4*z2^2 - 799680*ln2^3*sinf*z2^2 - 
    423360*ln2^2*sinf^2*z2^2 + 10392480*ln2^2*z2^3 + 13101984*ln2*sinf*z2^3 + 
    3306240*sinf^2*z2^3 + 27840816*z2^4 + 10644480*li5half*z3 + 
    564480*li4half*ln2*z3 - 65184*ln2^5*z3 - 13547520*li4half*sinf*z3 - 
    564480*ln2^4*sinf*z3 - 1276800*ln2^3*z2*z3 + 282240*ln2^2*sinf*z2*z3 - 
    141120*ln2*sinf^2*z2*z3 - 4702320*ln2*z2^2*z3 + 11955888*sinf*z2^2*z3 - 
    2283120*ln2^2*z3^2 + 15654240*ln2*sinf*z3^2 + 4903920*sinf^2*z3^2 + 
    6151320*z2*z3^2 + 5962320*ln2^3*z5 + 52337880*ln2^2*sinf*z5 + 
    17886960*ln2*sinf^2*z5 - 68675040*ln2*z2*z5 + 10657080*sinf*z2*z5 - 
    6216210*z3*z5 - 167095215*sinf*z7)/2257920, 
 H[1, 1, -1, 0, -1, 1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    840000*ln2^2*s6 + 33873525*s8a + 296016000*s8b + 1680000*s8c + 
    78288000*s8d + 21504000*ln2*s6*sinf - 21504000*s7a*sinf + 
    39648000*s7b*sinf + 9408000*s6*sinf^2 + 112896000*li6half*z2 + 
    156800*ln2^6*z2 - 151872000*s6*z2 - 75264000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 548800*ln2^5*sinf*z2 - 
    4704000*li4half*sinf^2*z2 - 196000*ln2^4*sinf^2*z2 + 
    30357600*li4half*z2^2 - 1087100*ln2^4*z2^2 - 4508000*ln2^3*sinf*z2^2 - 
    4116000*ln2^2*sinf^2*z2^2 + 2662800*ln2^2*z2^3 + 2679600*ln2*sinf*z2^3 + 
    3395000*sinf^2*z2^3 - 36117836*z2^4 - 15456000*li5half*z3 + 
    3528000*li4half*ln2*z3 + 275800*ln2^5*z3 + 11760000*li4half*sinf*z3 + 
    490000*ln2^4*sinf*z3 - 2464000*ln2^3*z2*z3 - 3822000*ln2^2*sinf*z2*z3 - 
    882000*ln2*sinf^2*z2*z3 - 1579200*ln2*z2^2*z3 - 7356300*sinf*z2^2*z3 - 
    4866750*ln2^2*z3^2 - 36141000*ln2*sinf*z3^2 - 4189500*sinf^2*z3^2 - 
    24081750*z2*z3^2 - 3405500*ln2^3*z5 - 69457500*ln2^2*sinf*z5 - 
    10216500*ln2*sinf^2*z5 + 15393000*ln2*z2*z5 - 33631500*sinf*z2*z5 + 
    20280750*z3*z5 + 145498500*sinf*z7)/4704000, 
 H[1, 1, -1, 0, -1, 1, 0, -1, 1] -> 
  (4515840000*li8half + 1806336000*li7half*ln2 + 677376000*li6half*ln2^2 + 
    150528000*li5half*ln2^3 - 560000*ln2^8 - 406224000*ln2^2*s6 + 
    153216000*ln2*s7a - 368928000*ln2*s7b + 1426560975*s8a + 8243928000*s8b + 
    1324512000*s8c + 171360000*s8d + 1354752000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf - 1881600*ln2^7*sinf + 
    556416000*ln2*s6*sinf + 262080000*s7a*sinf + 628992000*s7b*sinf + 
    1354752000*li6half*sinf^2 + 451584000*li5half*ln2*sinf^2 - 
    1881600*ln2^6*sinf^2 + 846720000*s6*sinf^2 - 2709504000*li6half*z2 - 
    903168000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 7173600*ln2^6*z2 - 
    2671200000*s6*z2 - 56448000*li5half*sinf*z2 + 9878400*ln2^5*sinf*z2 - 
    56448000*li4half*sinf^2*z2 + 7056000*ln2^4*sinf^2*z2 + 
    25804800*li4half*z2^2 - 53256000*ln2^4*z2^2 - 100665600*ln2^3*sinf*z2^2 - 
    81849600*ln2^2*sinf^2*z2^2 + 153669600*ln2^2*z2^3 - 
    10684800*ln2*sinf*z2^3 - 112996800*sinf^2*z2^3 + 360097776*z2^4 - 
    46368000*li5half*z3 - 14112000*li4half*ln2*z3 - 201600*ln2^5*z3 + 
    141120000*li4half*sinf*z3 + 5880000*ln2^4*sinf*z3 - 
    40320000*ln2^3*z2*z3 - 118188000*ln2^2*sinf*z2*z3 - 
    45864000*ln2*sinf^2*z2*z3 - 623763000*ln2*z2^2*z3 - 
    211528800*sinf*z2^2*z3 - 388993500*ln2^2*z3^2 - 460908000*ln2*sinf*z3^2 - 
    306054000*sinf^2*z3^2 - 513135000*z2*z3^2 + 265629000*ln2^3*z5 - 
    1076040000*ln2^2*sinf*z5 - 720594000*ln2*sinf^2*z5 - 
    1432305000*ln2*z2*z5 - 1598058000*sinf*z2*z5 - 1457024625*z3*z5 - 
    4562940375*ln2*z7 + 3213000000*sinf*z7)/56448000, 
 H[1, 1, -1, 0, -1, 1, -1, 1, 1] -> 
  (19022976000*li8half - 169344000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 - 175000*ln2^8 - 2734704000*ln2^2*s6 + 
    7297798725*s8a + 45109512000*s8b + 5130720000*s8c + 4084416000*s8d - 
    6491520000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    817600*ln2^7*sinf + 1364832000*ln2*s6*sinf - 1364832000*s7a*sinf + 
    1753920000*s7b*sinf + 620928000*li6half*sinf^2 + 862400*ln2^6*sinf^2 + 
    282240000*s6*sinf^2 - 451584000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 4351200*ln2^6*z2 - 12889296000*s6*z2 - 
    56448000*li5half*sinf*z2 + 6350400*ln2^5*sinf*z2 + 
    15288000*ln2^4*sinf^2*z2 + 815472000*li4half*z2^2 - 
    126428400*ln2^4*z2^2 - 264129600*ln2^3*sinf*z2^2 - 
    89611200*ln2^2*sinf^2*z2^2 + 345895200*ln2^2*z2^3 - 
    530107200*ln2*sinf*z2^3 - 80539200*sinf^2*z2^3 - 1145420064*z2^4 - 
    7971264000*li5half*z3 - 14112000*li4half*ln2*z3 + 70778400*ln2^5*z3 + 
    6174000*ln2^4*sinf*z3 - 657216000*ln2^3*z2*z3 - 
    26460000*ln2^2*sinf*z2*z3 + 10584000*ln2*sinf^2*z2*z3 - 
    5758237800*ln2*z2^2*z3 - 494902800*sinf*z2^2*z3 - 597807000*ln2^2*z3^2 - 
    1668996000*ln2*sinf*z3^2 - 108927000*sinf^2*z3^2 - 5586903000*z2*z3^2 + 
    27636000*ln2^3*z5 - 2965725000*ln2^2*sinf*z5 + 28224000*ln2*sinf^2*z5 - 
    15503292000*ln2*z2*z5 - 5305167000*sinf*z2*z5 + 6709051125*z3*z5 + 
    14831318250*sinf*z7)/56448000, H[1, 1, -1, 0, -1, 1, -1, 0, 1] -> 
  (-3010560000*li8half - 25088000*li5half*ln2^3 + 134400*ln2^8 + 
    283920000*ln2^2*s6 - 850466925*s8a - 5671176000*s8b - 567840000*s8c - 
    495264000*s8d + 1806336000*li7half*sinf - 75264000*li5half*ln2^2*sinf + 
    268800*ln2^7*sinf - 348096000*ln2*s6*sinf + 348096000*s7a*sinf - 
    413952000*s7b*sinf - 451584000*li6half*sinf^2 - 
    75264000*li5half*ln2*sinf^2 - 197568000*s6*sinf^2 + 
    1185408000*li6half*z2 + 206976000*li5half*ln2*z2 - 
    4704000*li4half*ln2^2*z2 - 274400*ln2^6*z2 + 2039520000*s6*z2 - 
    56448000*li5half*sinf*z2 + 1724800*ln2^5*sinf*z2 + 
    3136000*ln2^4*sinf^2*z2 - 100934400*li4half*z2^2 + 7476000*ln2^4*z2^2 + 
    34809600*ln2^3*sinf*z2^2 + 35750400*ln2^2*sinf^2*z2^2 - 
    61958400*ln2^2*z2^3 + 160608000*ln2*sinf*z2^3 + 59987200*sinf^2*z2^3 + 
    36564512*z2^4 + 948192000*li5half*z3 + 18816000*li4half*ln2*z3 - 
    7117600*ln2^5*z3 + 93324000*ln2^3*z2*z3 + 7644000*ln2^2*sinf*z2*z3 - 
    4704000*ln2*sinf^2*z2*z3 + 668803800*ln2*z2^2*z3 + 
    123950400*sinf*z2^2*z3 + 55156500*ln2^2*z3^2 + 385728000*ln2*sinf*z3^2 + 
    75264000*sinf^2*z3^2 + 470862000*z2*z3^2 + 14896000*ln2^3*z5 + 
    782922000*ln2^2*sinf*z5 + 44688000*ln2*sinf^2*z5 + 1641486000*ln2*z2*z5 + 
    1347696000*sinf*z2*z5 - 563789625*z3*z5 - 3825528000*sinf*z7)/18816000, 
 H[1, 1, -1, 0, -1, 1, -1, -1, 1] -> 
  (84672000*li4half^2 - 13095936000*li8half + 903168000*li7half*ln2 + 
    338688000*li6half*ln2^2 - 56448000*li5half*ln2^3 - 
    11760000*li4half*ln2^4 - 200200*ln2^8 + 1876896000*ln2^2*s6 + 
    185472000*ln2*s7a - 252000000*ln2*s7b - 5187675150*s8a - 
    32050368000*s8b - 3447360000*s8c - 3185280000*s8d + 
    5588352000*li7half*sinf + 338688000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 56448000*li4half*ln2^3*sinf - 
    2049600*ln2^7*sinf - 1094688000*ln2*s6*sinf + 1433376000*s7a*sinf - 
    1233792000*s7b*sinf - 338688000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 - 42336000*li4half*ln2^2*sinf^2 - 
    1764000*ln2^6*sinf^2 - 21168000*s6*sinf^2 + 169344000*li6half*z2 + 
    169344000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 509600*ln2^6*z2 + 
    9538704000*s6*z2 + 56448000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 2822400*ln2^5*sinf*z2 - 8232000*ln2^4*sinf^2*z2 - 
    696326400*li4half*z2^2 + 78355200*ln2^4*z2^2 + 
    166992000*ln2^3*sinf*z2^2 + 39513600*ln2^2*sinf^2*z2^2 - 
    241516800*ln2^2*z2^3 + 452188800*ln2*sinf*z2^3 + 69350400*sinf^2*z2^3 + 
    992802096*z2^4 + 6257664000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    57380400*ln2^5*z3 - 21168000*li4half*sinf*z3 - 7056000*ln2^4*sinf*z3 + 
    523236000*ln2^3*z2*z3 + 5292000*ln2^2*sinf*z2*z3 - 
    37044000*ln2*sinf^2*z2*z3 + 4317213600*ln2*z2^2*z3 + 
    373766400*sinf*z2^2*z3 + 344200500*ln2^2*z3^2 + 
    1257228000*ln2*sinf*z3^2 + 17199000*sinf^2*z3^2 + 4051845000*z2*z3^2 + 
    355152000*ln2^3*z5 + 2405214000*ln2^2*sinf*z5 - 151263000*ln2*sinf^2*z5 + 
    11425869000*ln2*z2*z5 + 3858876000*sinf*z2*z5 - 6151981500*z3*z5 - 
    2610365625*ln2*z7 - 11295679500*sinf*z7)/56448000, 
 H[1, 1, -1, 0, -1, 0, 1, 1, 1] -> 
  (-155232000*li4half^2 + 112896000*li8half + 18816000*li5half*ln2^3 + 
    1176000*li4half*ln2^4 + 164500*ln2^8 - 102816000*ln2^2*s6 + 
    229924800*s8a + 222768000*s8b + 205632000*s8c - 177408000*s8d - 
    112896000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 1120000*ln2^7*sinf - 
    163296000*ln2*s6*sinf + 163296000*s7a*sinf + 191520000*s7b*sinf + 
    56448000*li6half*sinf^2 + 56448000*li5half*ln2*sinf^2 + 
    28224000*li4half*ln2^2*sinf^2 + 784000*ln2^6*sinf^2 + 
    14112000*s6*sinf^2 - 56448000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 2646000*ln2^6*z2 + 326592000*s6*z2 - 
    56448000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    9408000*ln2^5*sinf*z2 - 28224000*li4half*sinf^2*z2 - 
    4704000*ln2^4*sinf^2*z2 - 146260800*li4half*z2^2 + 4195800*ln2^4*z2^2 + 
    23520000*ln2^3*sinf*z2^2 + 7056000*ln2^2*sinf^2*z2^2 + 
    36968400*ln2^2*z2^3 + 33314400*ln2*sinf*z2^3 - 4384800*sinf^2*z2^3 + 
    54248868*z2^4 + 284256000*li5half*z3 - 3528000*li4half*ln2*z3 + 
    2423400*ln2^5*z3 + 310464000*li4half*sinf*z3 + 25284000*ln2^4*sinf*z3 + 
    8232000*ln2^3*sinf^2*z3 - 29820000*ln2^3*z2*z3 - 
    142002000*ln2^2*sinf*z2*z3 - 14994000*ln2*sinf^2*z2*z3 - 
    289485000*ln2*z2^2*z3 - 285616800*sinf*z2^2*z3 - 24286500*ln2^2*z3^2 + 
    213381000*ln2*sinf*z3^2 + 11576250*sinf^2*z3^2 - 138017250*z2*z3^2 - 
    15141000*ln2^3*z5 - 72765000*ln2^2*sinf*z5 - 45423000*ln2*sinf^2*z5 - 
    526050000*ln2*z2*z5 - 518049000*sinf*z2*z5 + 271608750*z3*z5 + 
    1654781625*sinf*z7)/28224000, H[1, 1, -1, 0, -1, 0, 1, 0, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 + 
    39110400*ln2^2*s6 - 48385575*s8a - 15825600*s8b - 78220800*s8c + 
    78220800*s8d + 66931200*ln2*s6*sinf - 66931200*s7a*sinf - 
    66931200*s7b*sinf - 22579200*li6half*z2 + 5644800*li4half*ln2^2*z2 + 
    203840*ln2^6*z2 - 162086400*s6*z2 + 22579200*li5half*sinf*z2 + 
    33868800*li4half*ln2*sinf*z2 + 1223040*ln2^5*sinf*z2 + 
    5644800*li4half*sinf^2*z2 + 235200*ln2^4*sinf^2*z2 + 
    20583360*li4half*z2^2 - 1494360*ln2^4*z2^2 - 6585600*ln2^3*sinf*z2^2 - 
    1411200*ln2^2*sinf^2*z2^2 - 3336480*ln2^2*z2^3 - 12005280*ln2*sinf*z2^3 - 
    488880*sinf^2*z2^3 - 31506192*z2^4 - 111283200*li5half*z3 - 
    8467200*li4half*ln2*z3 + 574560*ln2^5*z3 - 81849600*li4half*sinf*z3 - 
    3410400*ln2^4*sinf*z3 + 5073600*ln2^3*z2*z3 + 42336000*ln2^2*sinf*z2*z3 + 
    7056000*ln2*sinf^2*z2*z3 + 38921400*ln2*z2^2*z3 + 67100040*sinf*z2^2*z3 + 
    22113000*ln2^2*z3^2 - 61437600*ln2*sinf*z3^2 - 4762800*sinf^2*z3^2 + 
    70087500*z2*z3^2 - 1881600*ln2^3*z5 - 5644800*ln2^2*sinf*z5 - 
    5644800*ln2*sinf^2*z5 + 245952000*ln2*z2*z5 + 196434000*sinf*z2*z5 + 
    29873025*z3*z5 - 508772250*sinf*z7)/5644800, 
 H[1, 1, -1, 0, -1, 0, 1, -1, 1] -> 
  (-1354752000*li8half - 903168000*li7half*ln2 - 338688000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 11200*ln2^8 + 916272000*ln2^2*s6 - 
    262080000*ln2*s7a + 48384000*ln2*s7b - 1236118275*s8a - 4778424000*s8b - 
    1477728000*s8c + 376992000*s8d - 677376000*li7half*sinf - 
    677376000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    134400*ln2^7*sinf + 120960000*ln2*s6*sinf - 290304000*s7a*sinf - 
    487872000*s7b*sinf - 451584000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 + 313600*ln2^6*sinf^2 - 
    225792000*s6*sinf^2 + 790272000*li6half*z2 - 282240000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 + 106848000*s6*z2 + 
    112896000*li5half*sinf*z2 + 338688000*li4half*ln2*sinf*z2 + 
    15052800*ln2^5*sinf*z2 + 160070400*li4half*z2^2 + 3847200*ln2^4*z2^2 - 
    27283200*ln2^3*sinf*z2^2 + 47980800*ln2^2*sinf^2*z2^2 - 
    379864800*ln2^2*z2^3 - 153720000*ln2*sinf*z2^3 + 61286400*sinf^2*z2^3 - 
    433368144*z2^4 - 612864000*li5half*z3 - 486864000*li4half*ln2*z3 - 
    25057200*ln2^5*z3 - 225792000*li4half*sinf*z3 - 34104000*ln2^4*sinf*z3 - 
    16464000*ln2^3*sinf^2*z3 + 307608000*ln2^3*z2*z3 + 
    458640000*ln2^2*sinf*z2*z3 + 70560000*ln2*sinf^2*z2*z3 + 
    1093037400*ln2*z2^2*z3 + 278560800*sinf*z2^2*z3 - 37107000*ln2^2*z3^2 - 
    197505000*ln2*sinf*z3^2 + 67914000*sinf^2*z3^2 + 1126818000*z2*z3^2 - 
    316050000*ln2^3*z5 + 145530000*ln2^2*sinf*z5 - 45864000*ln2*sinf^2*z5 + 
    5018706000*ln2*z2*z5 + 1485162000*sinf*z2*z5 + 149365125*z3*z5 - 
    67347000*ln2*z7 - 2630549250*sinf*z7)/56448000, 
 H[1, 1, -1, 0, -1, 0, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    18144000*ln2^2*s6 + 26414325*s8a + 159264000*s8b + 36288000*s8c - 
    1008000*s8d + 13104000*ln2*s6*sinf - 13104000*s7a*sinf + 
    22176000*s7b*sinf + 17640000*s6*sinf^2 + 56448000*li6half*z2 - 
    7056000*li4half*ln2^2*z2 - 215600*ln2^6*z2 + 16128000*s6*z2 - 
    56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 
    28224000*li4half*sinf^2*z2 + 1176000*ln2^4*sinf^2*z2 + 
    2620800*li4half*z2^2 - 184800*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 - 
    7056000*ln2^2*sinf^2*z2^2 - 6375600*ln2^2*z2^3 - 19857600*ln2*sinf*z2^3 - 
    6468000*sinf^2*z2^3 + 14666052*z2^4 + 30240000*li5half*z3 + 
    10584000*li4half*ln2*z3 + 189000*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    2352000*ln2^4*sinf*z3 + 1932000*ln2^3*z2*z3 + 20286000*ln2^2*sinf*z2*z3 + 
    6174000*ln2*sinf^2*z2*z3 - 17035200*ln2*z2^2*z3 + 18055800*sinf*z2^2*z3 - 
    18994500*ln2^2*z3^2 - 44163000*ln2*sinf*z3^2 - 9591750*sinf^2*z3^2 - 
    9576000*z2*z3^2 + 808500*ln2^3*z5 - 31752000*ln2^2*sinf*z5 + 
    2425500*ln2*sinf^2*z5 - 113715000*ln2*z2*z5 + 45108000*sinf*z2*z5 - 
    159468750*z3*z5 + 8197875*sinf*z7)/14112000, 
 H[1, 1, -1, 0, -1, 0, 0, 0, 1] -> (-941325*s8a - 9408000*s8b - 2688000*s8d - 
    2688000*ln2*s6*sinf + 2688000*s7a*sinf - 1344000*s6*sinf^2 + 
    9072000*s6*z2 - 1646400*li4half*z2^2 - 68600*ln2^4*z2^2 - 
    243600*ln2^2*z2^3 - 235200*ln2*sinf*z2^3 - 312800*sinf^2*z2^3 + 
    927568*z2^4 + 2688000*li5half*z3 - 22400*ln2^5*z3 + 
    2688000*li4half*sinf*z3 + 112000*ln2^4*sinf*z3 + 224000*ln2^3*z2*z3 - 
    672000*ln2^2*sinf*z2*z3 - 1188600*ln2*z2^2*z3 - 2297400*sinf*z2^2*z3 + 
    3360000*ln2*sinf*z3^2 + 756000*sinf^2*z3^2 - 2131500*z2*z3^2 + 
    448000*ln2^3*z5 + 3948000*ln2^2*sinf*z5 + 1344000*ln2*sinf^2*z5 - 
    2688000*ln2*z2*z5 - 2121000*sinf*z2*z5 + 2496375*z3*z5 + 
    11095875*sinf*z7)/672000, H[1, 1, -1, 0, -1, 0, 0, -1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    10584000*ln2^2*s6 + 55440000*ln2*s7a + 90720000*ln2*s7b - 114442650*s8a - 
    358848000*s8b - 124992000*s8c + 54432000*s8d - 7056000*ln2*s6*sinf - 
    28224000*s7a*sinf - 28224000*s7b*sinf - 35280000*s6*sinf^2 + 
    28224000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 1724800*ln2^6*z2 + 
    4032000*s6*z2 - 28224000*li5half*sinf*z2 + 235200*ln2^5*sinf*z2 + 
    14112000*li4half*sinf^2*z2 + 588000*ln2^4*sinf^2*z2 - 
    70610400*li4half*z2^2 + 1761900*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 - 
    3528000*ln2^2*sinf^2*z2^2 + 13015800*ln2^2*z2^3 - 
    23990400*ln2*sinf*z2^3 - 12369000*sinf^2*z2^3 - 29573904*z2^4 - 
    137088000*li5half*z3 + 137592000*li4half*ln2*z3 + 6875400*ln2^5*z3 + 
    7056000*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 - 43470000*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 + 7056000*ln2*sinf^2*z2*z3 - 
    78718500*ln2*z2^2*z3 + 2072700*sinf*z2^2*z3 + 117416250*ln2^2*z3^2 + 
    25798500*ln2*sinf*z3^2 + 10804500*sinf^2*z3^2 + 62818875*z2*z3^2 - 
    7644000*ln2^3*z5 + 79600500*ln2^2*sinf*z5 + 79600500*ln2*sinf^2*z5 - 
    51817500*ln2*z2*z5 + 60196500*sinf*z2*z5 + 198741375*z3*z5 + 
    841388625*ln2*z7 - 77946750*sinf*z7)/14112000, 
 H[1, 1, -1, 0, -1, 0, -1, 1, 1] -> 
  (112896000*li4half^2 - 28224000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 - 117600*ln2^8 - 180432000*ln2^2*s6 + 
    256098150*s8a + 737856000*s8b + 346752000*s8c - 177408000*s8d + 
    112896000*li7half*sinf - 84672000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 884800*ln2^7*sinf + 14112000*ln2*s6*sinf - 
    14112000*s7a*sinf + 70560000*s7b*sinf - 56448000*li5half*ln2*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 705600*ln2^6*sinf^2 + 
    28224000*s6*sinf^2 + 28224000*li6half*z2 + 296352000*li5half*ln2*z2 + 
    77616000*li4half*ln2^2*z2 + 1783600*ln2^6*z2 + 248976000*s6*z2 + 
    84672000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    3292800*ln2^5*sinf*z2 + 28224000*li4half*sinf^2*z2 + 
    3528000*ln2^4*sinf^2*z2 - 68644800*li4half*z2^2 - 9210600*ln2^4*z2^2 - 
    11995200*ln2^3*sinf*z2^2 - 19051200*ln2^2*sinf^2*z2^2 + 
    92257200*ln2^2*z2^3 + 46670400*ln2*sinf*z2^3 - 4888800*sinf^2*z2^3 + 
    124807104*z2^4 + 19656000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    424200*ln2^5*z3 - 105840000*li4half*sinf*z3 - 4410000*ln2^4*sinf*z3 - 
    30261000*ln2^3*z2*z3 - 30870000*ln2^2*sinf*z2*z3 + 
    882000*ln2*sinf^2*z2*z3 - 240004800*ln2*z2^2*z3 + 14729400*sinf*z2^2*z3 - 
    77371875*ln2^2*z3^2 - 54684000*ln2*sinf*z3^2 - 11686500*sinf^2*z3^2 - 
    227264625*z2*z3^2 + 12127500*ln2^3*z5 - 38808000*ln2^2*sinf*z5 + 
    50053500*ln2*sinf^2*z5 - 1288098000*ln2*z2*z5 - 253134000*sinf*z2*z5 - 
    65811375*z3*z5 + 205891875*sinf*z7)/14112000, 
 H[1, 1, -1, 0, -1, 0, -1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    108864000*ln2^2*s6 - 127053675*s8a - 214704000*s8b - 217728000*s8c + 
    161280000*s8d + 48384000*ln2*s6*sinf - 48384000*s7a*sinf - 
    104832000*s7b*sinf - 28224000*s6*sinf^2 - 28224000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1254400*ln2^6*z2 - 
    216720000*s6*z2 - 141120000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 2352000*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 - 
    588000*ln2^4*sinf^2*z2 + 120808800*li4half*z2^2 + 2093700*ln2^4*z2^2 + 
    9408000*ln2^3*sinf*z2^2 + 3528000*ln2^2*sinf^2*z2^2 - 
    44654400*ln2^2*z2^3 - 35557200*ln2*sinf*z2^3 + 37800*sinf^2*z2^3 - 
    98073918*z2^4 + 9072000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    1251600*ln2^5*z3 + 7056000*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 + 
    10164000*ln2^3*z2*z3 + 5292000*ln2^2*sinf*z2*z3 + 
    7056000*ln2*sinf^2*z2*z3 + 152749800*ln2*z2^2*z3 + 
    30624300*sinf*z2^2*z3 + 67662000*ln2^2*z3^2 + 13608000*ln2*sinf*z3^2 + 
    10143000*sinf^2*z3^2 + 91027125*z2*z3^2 + 4704000*ln2^3*z5 + 
    68796000*ln2^2*sinf*z5 + 14112000*ln2*sinf^2*z5 + 604453500*ln2*z2*z5 + 
    399010500*sinf*z2*z5 + 92232000*z3*z5 - 531916875*sinf*z7)/14112000, 
 H[1, 1, -1, 0, -1, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 + 1128960000*li8half + 903168000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 250600*ln2^8 + 130032000*ln2^2*s6 + 
    80640000*ln2*s7a - 102816000*ln2*s7b + 2223900*s8a + 1362816000*s8b - 
    322560000*s8c + 562464000*s8d + 451584000*li7half*sinf + 
    677376000*li6half*ln2*sinf + 338688000*li5half*ln2^2*sinf + 
    75264000*li4half*ln2^3*sinf + 1164800*ln2^7*sinf + 
    316512000*ln2*s6*sinf - 274176000*s7a*sinf - 344736000*s7b*sinf + 
    338688000*li6half*sinf^2 + 225792000*li5half*ln2*sinf^2 + 
    56448000*li4half*ln2^2*sinf^2 + 940800*ln2^6*sinf^2 + 
    21168000*s6*sinf^2 - 677376000*li6half*z2 - 564480000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 2469600*ln2^6*z2 - 1287216000*s6*z2 - 
    225792000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    5644800*ln2^5*sinf*z2 - 2352000*ln2^4*sinf^2*z2 + 
    152006400*li4half*z2^2 + 10449600*ln2^4*z2^2 + 9408000*ln2^3*sinf*z2^2 - 
    36489600*ln2^2*z2^3 - 133408800*ln2*sinf*z2^3 - 69350400*sinf^2*z2^3 - 
    226089216*z2^4 - 743904000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    9139200*ln2^5*z3 + 56448000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 - 
    65520000*ln2^3*z2*z3 + 28224000*ln2^2*sinf*z2*z3 + 
    42336000*ln2*sinf^2*z2*z3 - 122698800*ln2*z2^2*z3 + 
    67888800*sinf*z2^2*z3 + 391576500*ln2^2*z3^2 + 67410000*ln2*sinf*z3^2 - 
    18963000*sinf^2*z3^2 + 34650000*z2*z3^2 + 193011000*ln2^3*z5 + 
    86877000*ln2^2*sinf*z5 - 8820000*ln2*sinf^2*z5 + 1265733000*ln2*z2*z5 + 
    1023687000*sinf*z2*z5 + 1124676000*z3*z5 - 809447625*ln2*z7 - 
    2144874375*sinf*z7)/56448000, H[1, 1, -1, 0, -1, -1, 1, 1, 1] -> 
  (-508032000*li4half^2 - 9313920000*li8half + 18816000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 396200*ln2^8 + 786240000*ln2^2*s6 - 
    2405799900*s8a - 17163216000*s8b - 1572480000*s8c - 1729728000*s8d + 
    3499776000*li7half*sinf + 112896000*li5half*ln2^2*sinf + 
    84672000*li4half*ln2^3*sinf + 1892800*ln2^7*sinf - 
    872928000*ln2*s6*sinf + 872928000*s7a*sinf - 538272000*s7b*sinf - 
    310464000*li6half*sinf^2 + 112896000*li5half*ln2*sinf^2 + 
    42336000*li4half*ln2^2*sinf^2 + 392000*ln2^6*sinf^2 - 
    119952000*s6*sinf^2 + 310464000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 6585600*ln2^6*z2 + 5230512000*s6*z2 - 
    112896000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*z2 - 
    20932800*ln2^5*sinf*z2 - 42336000*li4half*sinf^2*z2 - 
    10584000*ln2^4*sinf^2*z2 - 306432000*li4half*z2^2 + 62613600*ln2^4*z2^2 + 
    141120000*ln2^3*sinf*z2^2 + 58917600*ln2^2*sinf^2*z2^2 + 
    46468800*ln2^2*z2^3 + 399520800*ln2*sinf*z2^3 + 48283200*sinf^2*z2^3 + 
    588324816*z2^4 + 3558240000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    17010000*ln2^5*z3 + 444528000*li4half*sinf*z3 + 43218000*ln2^4*sinf*z3 + 
    12348000*ln2^3*sinf^2*z3 + 169512000*ln2^3*z2*z3 - 
    227556000*ln2^2*sinf*z2*z3 - 42336000*ln2*sinf^2*z2*z3 + 
    1865329200*ln2*z2^2*z3 - 174056400*sinf*z2^2*z3 + 211869000*ln2^2*z3^2 + 
    1072638000*ln2*sinf*z3^2 + 78939000*sinf^2*z3^2 + 1753983000*z2*z3^2 + 
    18522000*ln2^3*z5 + 1244943000*ln2^2*sinf*z5 - 122157000*ln2*sinf^2*z5 + 
    4784031000*ln2*z2*z5 + 1747431000*sinf*z2*z5 - 1453032000*z3*z5 - 
    5065018875*sinf*z7)/56448000, H[1, 1, -1, 0, -1, -1, 1, 0, 1] -> 
  (141120000*li4half^2 + 2257920000*li8half + 18816000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 144200*ln2^8 + 4032000*ln2^2*s6 + 
    292605075*s8a + 3185280000*s8b - 8064000*s8c + 572544000*s8d - 
    1354752000*li7half*sinf + 56448000*li5half*ln2^2*sinf - 
    201600*ln2^7*sinf + 370944000*ln2*s6*sinf - 370944000*s7a*sinf + 
    38304000*s7b*sinf + 338688000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 + 112896000*s6*sinf^2 - 
    931392000*li6half*z2 - 141120000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 - 1780128000*s6*z2 + 
    56448000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    2116800*ln2^5*sinf*z2 + 7056000*li4half*sinf^2*z2 - 
    2058000*ln2^4*sinf^2*z2 + 84873600*li4half*z2^2 - 16396800*ln2^4*z2^2 - 
    40807200*ln2^3*sinf*z2^2 - 23284800*ln2^2*sinf^2*z2^2 - 
    6980400*ln2^2*z2^3 - 189554400*ln2*sinf*z2^3 - 47308800*sinf^2*z2^3 - 
    157638588*z2^4 - 1102752000*li5half*z3 - 45864000*li4half*ln2*z3 + 
    7278600*ln2^5*z3 - 130536000*li4half*sinf*z3 - 5439000*ln2^4*sinf*z3 - 
    2520000*ln2^3*z2*z3 + 136710000*ln2^2*sinf*z2*z3 + 
    29988000*ln2*sinf^2*z2*z3 - 285755400*ln2*z2^2*z3 + 
    84243600*sinf*z2^2*z3 + 61330500*ln2^2*z3^2 - 343287000*ln2*sinf*z3^2 - 
    63724500*sinf^2*z3^2 + 37800000*z2*z3^2 - 7276500*ln2^3*z5 - 
    418288500*ln2^2*sinf*z5 - 21829500*ln2*sinf^2*z5 + 156712500*ln2*z2*z5 - 
    134347500*sinf*z2*z5 + 479634750*z3*z5 + 995896125*sinf*z7)/28224000, 
 H[1, 1, -1, 0, -1, -1, 1, -1, 1] -> 
  (-12096000*li4half^2 + 2096640000*li8half + 32256000*li7half*ln2 - 
    24192000*li6half*ln2^2 - 3696000*li4half*ln2^4 - 121000*ln2^8 - 
    252864000*ln2^2*s6 - 1152000*ln2*s7a - 45504000*ln2*s7b + 760310775*s8a + 
    4834872000*s8b + 489888000*s8c + 485856000*s8d - 725760000*li7half*sinf - 
    48384000*li6half*ln2*sinf - 8064000*li5half*ln2^2*sinf - 
    4032000*li4half*ln2^3*sinf - 24000*ln2^7*sinf + 152928000*ln2*s6*sinf - 
    171072000*s7a*sinf + 125280000*s7b*sinf + 36288000*li6half*sinf^2 - 
    8064000*li5half*ln2*sinf^2 + 117600*ln2^6*sinf^2 + 6048000*s6*sinf^2 - 
    12096000*li6half*z2 + 8064000*li5half*ln2*z2 + 
    24192000*li4half*ln2^2*z2 + 1786400*ln2^6*z2 - 1456560000*s6*z2 + 
    8064000*li5half*sinf*z2 + 12096000*li4half*ln2*sinf*z2 + 
    1780800*ln2^5*sinf*z2 + 1596000*ln2^4*sinf^2*z2 + 
    112291200*li4half*z2^2 - 13633200*ln2^4*z2^2 - 24024000*ln2^3*sinf*z2^2 - 
    5846400*ln2^2*sinf^2*z2^2 + 21528000*ln2^2*z2^3 - 
    63943200*ln2*sinf*z2^3 - 5990400*sinf^2*z2^3 - 160407216*z2^4 - 
    981792000*li5half*z3 - 70560000*li4half*ln2*z3 + 3477600*ln2^5*z3 - 
    6048000*li4half*sinf*z3 - 3780000*ln2^4*sinf*z3 - 
    1764000*ln2^3*sinf^2*z3 - 43008000*ln2^3*z2*z3 + 
    22680000*ln2^2*sinf*z2*z3 + 10584000*ln2*sinf^2*z2*z3 - 
    571368600*ln2*z2^2*z3 - 30574800*sinf*z2^2*z3 - 49068000*ln2^2*z3^2 - 
    171315000*ln2*sinf*z3^2 - 4914000*sinf^2*z3^2 - 564858000*z2*z3^2 + 
    37065000*ln2^3*z5 - 279405000*ln2^2*sinf*z5 + 7686000*ln2*sinf^2*z5 - 
    1324593000*ln2*z2*z5 - 384957000*sinf*z2*z5 + 815763375*z3*z5 - 
    397921500*ln2*z7 + 1231669125*sinf*z7)/8064000, 
 H[1, 1, -1, 0, -1, -1, 0, 1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 + 
    15792000*ln2^2*s6 - 19373025*s8a - 1680000*s8b - 31584000*s8c + 
    38640000*s8d + 38640000*ln2*s6*sinf - 38640000*s7a*sinf - 
    31584000*s7b*sinf + 3528000*s6*sinf^2 - 28224000*li6half*z2 - 
    18816000*li5half*ln2*z2 - 11760000*li4half*ln2^2*z2 - 372400*ln2^6*z2 - 
    105504000*s6*z2 + 28224000*li4half*ln2*sinf*z2 + 1176000*ln2^5*sinf*z2 + 
    14112000*li4half*sinf^2*z2 + 588000*ln2^4*sinf^2*z2 + 
    6316800*li4half*z2^2 - 422800*ln2^4*z2^2 - 7056000*ln2^3*sinf*z2^2 - 
    3528000*ln2^2*sinf^2*z2^2 - 3385200*ln2^2*z2^3 - 13540800*ln2*sinf*z2^3 - 
    3654000*sinf^2*z2^3 - 14066544*z2^4 - 65520000*li5half*z3 + 
    5880000*li4half*ln2*z3 + 791000*ln2^5*z3 - 74088000*li4half*sinf*z3 - 
    3087000*ln2^4*sinf*z3 + 4928000*ln2^3*z2*z3 + 41748000*ln2^2*sinf*z2*z3 + 
    10878000*ln2*sinf^2*z2*z3 + 29295000*ln2*z2^2*z3 + 
    48594000*sinf*z2^2*z3 - 3276000*ln2^2*z3^2 - 63735000*ln2*sinf*z3^2 - 
    4814250*sinf^2*z3^2 + 48714750*z2*z3^2 - 1298500*ln2^3*z5 - 
    10731000*ln2^2*sinf*z5 - 3895500*ln2*sinf^2*z5 + 161784000*ln2*z2*z5 + 
    122031000*sinf*z2*z5 - 23233875*z3*z5 - 287020125*sinf*z7)/9408000, 
 H[1, 1, -1, 0, -1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    51408000*ln2^2*s6 + 57687525*s8a + 100800000*s8b + 102816000*s8c - 
    88704000*s8d - 74592000*ln2*s6*sinf + 74592000*s7a*sinf + 
    88704000*s7b*sinf + 7056000*s6*sinf^2 + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 138600000*s6*z2 - 24091200*li4half*z2^2 - 
    2767800*ln2^4*z2^2 + 3074400*ln2^2*z2^3 + 9122400*ln2*sinf*z2^3 - 
    1478400*sinf^2*z2^3 + 45798684*z2^4 + 156240000*li5half*z3 + 
    14112000*li4half*ln2*z3 - 714000*ln2^5*z3 + 74088000*li4half*sinf*z3 + 
    3087000*ln2^4*sinf*z3 + 8316000*ln2^3*z2*z3 - 22050000*ln2^2*sinf*z2*z3 - 
    3528000*ln2*sinf^2*z2*z3 - 48207600*ln2*z2^2*z3 - 74629800*sinf*z2^2*z3 - 
    32980500*ln2^2*z3^2 + 56196000*ln2*sinf*z3^2 + 5512500*sinf^2*z3^2 - 
    87144750*z2*z3^2 - 1176000*ln2^3*z5 - 17199000*ln2^2*sinf*z5 - 
    3528000*ln2*sinf^2*z5 - 301392000*ln2*z2*z5 - 296509500*sinf*z2*z5 - 
    70638750*z3*z5 + 669044250*sinf*z7)/14112000, 
 H[1, 1, -1, 0, -1, -1, 0, -1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    43176000*ln2^2*s6 + 59472000*ln2*s7a + 52416000*ln2*s7b - 24950100*s8a - 
    76272000*s8b - 25536000*s8c + 25536000*s8d - 15792000*ln2*s6*sinf + 
    22848000*s7a*sinf + 8736000*s7b*sinf - 14112000*li6half*z2 - 
    9408000*li5half*ln2*z2 - 37632000*li4half*ln2^2*z2 - 1509200*ln2^6*z2 - 
    65184000*s6*z2 + 14112000*li4half*ln2*sinf*z2 + 588000*ln2^5*sinf*z2 + 
    7056000*li4half*sinf^2*z2 + 294000*ln2^4*sinf^2*z2 - 
    59102400*li4half*z2^2 + 1163400*ln2^4*z2^2 - 3528000*ln2^3*sinf*z2^2 - 
    1764000*ln2^2*sinf^2*z2^2 + 19597200*ln2^2*z2^3 - 8450400*ln2*sinf*z2^3 - 
    2822400*sinf^2*z2^3 - 7964856*z2^4 - 46368000*li5half*z3 + 
    125832000*li4half*ln2*z3 + 5629400*ln2^5*z3 - 24696000*li4half*sinf*z3 - 
    1029000*ln2^4*sinf*z3 - 31402000*ln2^3*z2*z3 + 
    11760000*ln2^2*sinf*z2*z3 - 588000*ln2*sinf^2*z2*z3 - 
    63907200*ln2*z2^2*z3 + 8601600*sinf*z2^2*z3 + 57314250*ln2^2*z3^2 - 
    12673500*ln2*sinf*z3^2 + 147000*sinf^2*z3^2 + 35138250*z2*z3^2 + 
    11172000*ln2^3*z5 + 26680500*ln2^2*sinf*z5 + 13009500*ln2*sinf^2*z5 - 
    73542000*ln2*z2*z5 - 25441500*sinf*z2*z5 + 52040625*z3*z5 + 
    529814250*ln2*z7 + 63055125*sinf*z7)/9408000, 
 H[1, 1, -1, 0, -1, -1, -1, 1, 1] -> 
  (122304000*li4half^2 - 1580544000*li8half + 18816000*li6half*ln2^2 - 
    25088000*li5half*ln2^3 - 5488000*li4half*ln2^4 - 245000*ln2^8 + 
    120960000*ln2^2*s6 - 344936025*s8a - 2721096000*s8b - 180768000*s8c - 
    327264000*s8d + 545664000*li7half*sinf - 56448000*li5half*ln2^2*sinf - 
    34496000*li4half*ln2^3*sinf - 1075200*ln2^7*sinf - 35616000*ln2*s6*sinf + 
    35616000*s7a*sinf - 53760000*s7b*sinf - 28224000*li6half*sinf^2 - 
    18816000*li5half*ln2*sinf^2 - 18816000*li4half*ln2^2*sinf^2 - 
    666400*ln2^6*sinf^2 + 18816000*s6*sinf^2 + 9408000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1999200*ln2^6*z2 + 
    859152000*s6*z2 + 56448000*li5half*sinf*z2 + 75264000*li4half*ln2*sinf*
     z2 + 6507200*ln2^5*sinf*z2 + 18816000*li4half*sinf^2*z2 + 
    2156000*ln2^4*sinf^2*z2 - 98851200*li4half*z2^2 - 2550800*ln2^4*z2^2 - 
    4782400*ln2^3*sinf*z2^2 - 3998400*ln2^2*sinf^2*z2^2 + 
    38572800*ln2^2*z2^3 + 64075200*ln2*sinf*z2^3 + 2150400*sinf^2*z2^3 + 
    137233176*z2^4 + 485184000*li5half*z3 + 16464000*li4half*ln2*z3 - 
    6650000*ln2^5*z3 - 124656000*li4half*sinf*z3 - 11368000*ln2^4*sinf*z3 - 
    2744000*ln2^3*sinf^2*z3 + 45920000*ln2^3*z2*z3 + 
    35280000*ln2^2*sinf*z2*z3 - 4116000*ln2*sinf^2*z2*z3 + 
    268711800*ln2*z2^2*z3 + 59320800*sinf*z2^2*z3 - 24633000*ln2^2*z3^2 + 
    1302000*ln2*sinf*z3^2 - 4998000*sinf^2*z3^2 + 290661000*z2*z3^2 - 
    28959000*ln2^3*z5 + 72618000*ln2^2*sinf*z5 - 294000*ln2*sinf^2*z5 + 
    570234000*ln2*z2*z5 + 174678000*sinf*z2*z5 - 341919375*z3*z5 - 
    900858000*sinf*z7)/18816000, H[1, 1, -1, 0, -1, -1, -1, 0, 1] -> 
  (-90316800*li4half^2 - 7526400*li4half*ln2^4 - 156800*ln2^8 + 
    15926400*ln2^2*s6 - 39219075*s8a - 82958400*s8b - 31852800*s8c + 
    3628800*s8d - 18950400*ln2*s6*sinf + 18950400*s7a*sinf - 
    9273600*s7b*sinf - 14112000*s6*sinf^2 - 56448000*li5half*ln2*z2 - 
    11289600*li4half*ln2^2*z2 + 70358400*s6*z2 - 67737600*li5half*sinf*z2 - 
    67737600*li4half*ln2*sinf*z2 - 2257920*ln2^5*sinf*z2 - 
    8467200*li4half*sinf^2*z2 - 352800*ln2^4*sinf^2*z2 + 
    56044800*li4half*z2^2 + 6098400*ln2^4*z2^2 + 11289600*ln2^3*sinf*z2^2 + 
    2116800*ln2^2*sinf^2*z2^2 - 19807200*ln2^2*z2^3 - 3517920*ln2*sinf*z2^3 + 
    376320*sinf^2*z2^3 - 2137656*z2^4 + 108460800*li5half*z3 - 
    11289600*li4half*ln2*z3 - 1374240*ln2^5*z3 + 59270400*li4half*sinf*z3 + 
    2469600*ln2^4*sinf*z3 - 11071200*ln2^3*z2*z3 - 
    39160800*ln2^2*sinf*z2*z3 - 2116800*ln2*sinf^2*z2*z3 + 
    52594920*ln2*z2^2*z3 - 21288960*sinf*z2^2*z3 + 19296900*ln2^2*z3^2 + 
    53323200*ln2*sinf*z3^2 + 5203800*sinf^2*z3^2 - 17564400*z2*z3^2 + 
    5644800*ln2^3*z5 + 44276400*ln2^2*sinf*z5 + 16934400*ln2*sinf^2*z5 + 
    1537200*ln2*z2*z5 + 48144600*sinf*z2*z5 - 64557675*z3*z5 + 
    49569975*sinf*z7)/11289600, H[1, 1, -1, 0, -1, -1, -1, -1, 1] -> 
  (84672000*li4half^2 - 56448000*li8half + 112896000*li6half*ln2^2 + 
    94080000*li5half*ln2^3 + 47040000*li4half*ln2^4 + 1184400*ln2^8 - 
    28224000*ln2^2*s6 + 44352000*ln2*s7a + 199584000*ln2*s7b - 
    226270800*s8a - 785232000*s8b - 229824000*s8c + 88704000*s8d + 
    169344000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    225792000*li5half*ln2^2*sinf + 84672000*li4half*ln2^3*sinf + 
    2083200*ln2^7*sinf + 2016000*ln2*s6*sinf - 16128000*s7a*sinf - 
    30240000*s7b*sinf + 141120000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 42336000*li4half*ln2^2*sinf^2 + 
    1019200*ln2^6*sinf^2 - 310464000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    211680000*li4half*ln2^2*z2 - 10897600*ln2^6*z2 - 99792000*s6*z2 - 
    112896000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*z2 - 
    11289600*ln2^5*sinf*z2 - 4116000*ln2^4*sinf^2*z2 - 
    58464000*li4half*z2^2 + 23436000*ln2^4*z2^2 + 11760000*ln2^3*sinf*z2^2 - 
    352800*ln2^2*z2^3 - 60127200*ln2*sinf*z2^3 - 32256000*sinf^2*z2^3 - 
    20188008*z2^4 + 48384000*li5half*z3 + 338688000*li4half*ln2*z3 + 
    23587200*ln2^5*z3 + 21168000*li4half*sinf*z3 + 19404000*ln2^4*sinf*z3 + 
    8232000*ln2^3*sinf^2*z3 - 125916000*ln2^3*z2*z3 - 
    29988000*ln2^2*sinf*z2*z3 - 52390800*ln2*z2^2*z3 - 1713600*sinf*z2^2*z3 + 
    200434500*ln2^2*z3^2 + 34524000*ln2*sinf*z3^2 + 155169000*z2*z3^2 - 
    54390000*ln2^3*z5 + 82908000*ln2^2*sinf*z5 + 28224000*ln2*sinf^2*z5 + 
    882000*ln2*z2*z5 + 61047000*sinf*z2*z5 + 146270250*z3*z5 + 
    1833040125*ln2*z7 - 100351125*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 1, 1, 1, 1, 1] -> 
  (225792000*li8half + 9408000*li5half*ln2^3 - 43400*ln2^8 + 
    47376000*ln2^2*s6 - 103056975*s8a - 36792000*s8b - 94752000*s8c + 
    94752000*s8d - 169344000*li7half*sinf + 28224000*li5half*ln2^2*sinf - 
    134400*ln2^7*sinf + 54432000*ln2*s6*sinf - 54432000*s7a*sinf - 
    40320000*s7b*sinf + 56448000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 - 117600*ln2^6*sinf^2 + 14112000*s6*sinf^2 - 
    56448000*li6half*z2 - 56448000*li5half*ln2*z2 + 744800*ln2^6*z2 - 
    203616000*s6*z2 - 28224000*li5half*sinf*z2 + 1646400*ln2^5*sinf*z2 + 
    1176000*ln2^4*sinf^2*z2 + 18950400*li4half*z2^2 - 974400*ln2^4*z2^2 + 
    235200*ln2^3*sinf*z2^2 + 705600*ln2^2*sinf^2*z2^2 - 16783200*ln2^2*z2^3 - 
    26409600*ln2*sinf*z2^3 - 5644800*sinf^2*z2^3 - 21773016*z2^4 - 
    140112000*li5half*z3 - 1184400*ln2^5*z3 - 7056000*ln2^4*sinf*z3 - 
    4704000*ln2^3*sinf^2*z3 + 16548000*ln2^3*z2*z3 + 
    42336000*ln2^2*sinf*z2*z3 + 14112000*ln2*sinf^2*z2*z3 + 
    90707400*ln2*z2^2*z3 + 75096000*sinf*z2^2*z3 + 13324500*ln2^2*z3^2 - 
    68040000*ln2*sinf*z3^2 - 17640000*sinf^2*z3^2 + 78340500*z2*z3^2 - 
    9408000*ln2^3*z5 - 41895000*ln2^2*sinf*z5 - 28224000*ln2*sinf^2*z5 + 
    340704000*ln2*z2*z5 + 146223000*sinf*z2*z5 - 109722375*z3*z5 - 
    307077750*sinf*z7)/56448000, H[1, 1, -1, -1, 1, 1, 1, 0, 1] -> 
  (-84672000*li4half^2 + 1693440000*li8half + 9408000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 477400*ln2^8 - 307440000*ln2^2*s6 + 
    836840025*s8a + 4946760000*s8b + 614880000*s8c + 401184000*s8d - 
    733824000*li7half*sinf + 28224000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 873600*ln2^7*sinf + 102816000*ln2*s6*sinf - 
    102816000*s7a*sinf + 306432000*s7b*sinf + 141120000*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 - 14112000*li4half*ln2^2*sinf^2 - 
    627200*ln2^6*sinf^2 + 49392000*s6*sinf^2 - 84672000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 4468800*ln2^6*z2 - 
    1373904000*s6*z2 - 84672000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 + 3998400*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 + 
    2940000*ln2^4*sinf^2*z2 + 128217600*li4half*z2^2 - 23704800*ln2^4*z2^2 - 
    24225600*ln2^3*sinf*z2^2 - 8820000*ln2^2*sinf^2*z2^2 + 
    43848000*ln2^2*z2^3 - 58464000*ln2*sinf*z2^3 - 22176000*sinf^2*z2^3 - 
    81018936*z2^4 - 696528000*li5half*z3 - 56448000*li4half*ln2*z3 + 
    630000*ln2^5*z3 + 84672000*li4half*sinf*z3 - 3528000*ln2^4*sinf*z3 - 
    4704000*ln2^3*sinf^2*z3 - 53340000*ln2^3*z2*z3 - 
    63504000*ln2^2*sinf*z2*z3 - 14112000*ln2*sinf^2*z2*z3 - 
    615295800*ln2*z2^2*z3 - 169243200*sinf*z2^2*z3 - 114691500*ln2^2*z3^2 - 
    128520000*ln2*sinf*z3^2 - 2646000*sinf^2*z3^2 - 661153500*z2*z3^2 + 
    8820000*ln2^3*z5 - 369999000*ln2^2*sinf*z5 + 26460000*ln2*sinf^2*z5 - 
    1897560000*ln2*z2*z5 - 941157000*sinf*z2*z5 + 739895625*z3*z5 + 
    2645952750*sinf*z7)/56448000, H[1, 1, -1, -1, 1, 1, 1, -1, 1] -> 
  (-11289600*li8half - 752640*li5half*ln2^3 - 282240*li4half*ln2^4 - 
    6944*ln2^8 + 725760*ln2^2*s6 - 4561200*s8a - 23304960*s8b - 1451520*s8c - 
    4193280*s8d + 9031680*li7half*sinf - 2257920*li5half*ln2^2*sinf - 
    752640*li4half*ln2^3*sinf - 17024*ln2^7*sinf - 2580480*ln2*s6*sinf + 
    2580480*s7a*sinf - 3628800*s7b*sinf - 3386880*li6half*sinf^2 - 
    2257920*li5half*ln2*sinf^2 - 564480*li4half*ln2^2*sinf^2 - 
    10976*ln2^6*sinf^2 - 3386880*s6*sinf^2 + 3386880*li6half*z2 + 
    4515840*li5half*ln2*z2 + 1693440*li4half*ln2^2*z2 + 64288*ln2^6*z2 + 
    14595840*s6*z2 + 2257920*li5half*sinf*z2 + 1128960*li4half*ln2*sinf*z2 + 
    75264*ln2^5*sinf*z2 + 23520*ln2^4*sinf^2*z2 - 725760*li4half*z2^2 - 
    218400*ln2^4*z2^2 - 197568*ln2^3*sinf*z2^2 - 28224*ln2^2*sinf^2*z2^2 - 
    579264*ln2^2*z2^3 - 350112*ln2*sinf*z2^3 - 18816*sinf^2*z2^3 + 
    2026776*z2^4 + 4435200*li5half*z3 - 2257920*li4half*ln2*z3 - 
    135744*ln2^5*z3 - 282240*li4half*sinf*z3 + 23520*ln2^4*sinf*z3 + 
    23520*ln2^3*sinf^2*z3 + 463680*ln2^3*z2*z3 - 1128960*ln2^2*sinf*z2*z3 - 
    564480*ln2*sinf^2*z2*z3 + 1514016*ln2*z2^2*z3 + 394128*sinf*z2^2*z3 + 
    345240*ln2^2*z3^2 + 5483520*ln2*sinf*z3^2 + 1472940*sinf^2*z3^2 + 
    727020*z2*z3^2 + 2199120*ln2^3*z5 + 12612600*ln2^2*sinf*z5 + 
    6597360*ln2*sinf^2*z5 - 8840160*ln2*z2*z5 + 4256280*sinf*z2*z5 - 
    4491900*z3*z5 + 6773760*ln2*z7 - 16183125*sinf*z7)/2257920, 
 H[1, 1, -1, -1, 1, 1, 0, 1, 1] -> (254016000*li4half^2 - 225792000*li8half - 
    37632000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 749000*ln2^8 - 
    47376000*ln2^2*s6 + 103056975*s8a + 36792000*s8b + 94752000*s8c - 
    94752000*s8d + 508032000*li7half*sinf - 112896000*li5half*ln2^2*sinf + 
    840000*ln2^7*sinf + 48384000*ln2*s6*sinf - 48384000*s7a*sinf - 
    104832000*s7b*sinf - 225792000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 + 627200*ln2^6*sinf^2 - 35280000*s6*sinf^2 + 
    225792000*li6half*z2 + 225792000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 7291200*ln2^6*z2 + 224784000*s6*z2 + 
    112896000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 - 
    2822400*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 - 
    1764000*ln2^4*sinf^2*z2 - 69753600*li4half*z2^2 + 12381600*ln2^4*z2^2 - 
    16464000*ln2^3*sinf*z2^2 - 9525600*ln2^2*sinf^2*z2^2 + 
    36892800*ln2^2*z2^3 + 57859200*ln2*sinf*z2^3 + 29131200*sinf^2*z2^3 + 
    1673496*z2^4 - 8064000*li5half*z3 + 169344000*li4half*ln2*z3 + 
    15237600*ln2^5*z3 - 275184000*li4half*sinf*z3 + 8820000*ln2^4*sinf*z3 + 
    13524000*ln2^3*sinf^2*z3 - 88872000*ln2^3*z2*z3 + 
    24696000*ln2^2*sinf*z2*z3 - 3528000*ln2*sinf^2*z2*z3 - 
    119284200*ln2*z2^2*z3 + 150796800*sinf*z2^2*z3 + 67819500*ln2^2*z3^2 - 
    60480000*ln2*sinf*z3^2 + 9261000*sinf^2*z3^2 - 129496500*z2*z3^2 + 
    10290000*ln2^3*z5 + 85554000*ln2^2*sinf*z5 + 30870000*ln2*sinf^2*z5 - 
    345996000*ln2*z2*z5 + 253260000*sinf*z2*z5 + 165508875*z3*z5 - 
    1257196500*sinf*z7)/56448000, H[1, 1, -1, -1, 1, 1, 0, 0, 1] -> 
  (-169344000*li4half^2 - 1693440000*li8half - 37632000*li5half*ln2^3 - 
    28224000*li4half*ln2^4 - 610400*ln2^8 + 307440000*ln2^2*s6 - 
    836840025*s8a - 4946760000*s8b - 614880000*s8c - 401184000*s8d + 
    903168000*li7half*sinf - 112896000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 806400*ln2^7*sinf - 314496000*ln2*s6*sinf + 
    314496000*s7a*sinf - 306432000*s7b*sinf - 225792000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    548800*ln2^6*sinf^2 - 155232000*s6*sinf^2 + 677376000*li6half*z2 + 
    225792000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 4155200*ln2^6*z2 + 
    1776096000*s6*z2 - 112896000*li5half*sinf*z2 - 
    112896000*li4half*ln2*sinf*z2 - 28224000*li4half*sinf^2*z2 + 
    1176000*ln2^4*sinf^2*z2 + 15724800*li4half*z2^2 + 7005600*ln2^4*z2^2 + 
    41865600*ln2^3*sinf*z2^2 + 17640000*ln2^2*sinf^2*z2^2 - 
    111232800*ln2^2*z2^3 + 58262400*ln2*sinf*z2^3 + 31248000*sinf^2*z2^3 - 
    7170984*z2^4 + 830592000*li5half*z3 - 112896000*li4half*ln2*z3 - 
    14448000*ln2^5*z3 + 169344000*li4half*sinf*z3 - 4704000*ln2^3*sinf^2*z3 + 
    112140000*ln2^3*z2*z3 - 35280000*ln2^2*sinf*z2*z3 - 
    1764000*ln2*sinf^2*z2*z3 + 659043000*ln2*z2^2*z3 + 
    21067200*sinf*z2^2*z3 + 58243500*ln2^2*z3^2 + 393120000*ln2*sinf*z3^2 + 
    58873500*sinf^2*z3^2 + 502614000*z2*z3^2 + 44982000*ln2^3*z5 + 
    736470000*ln2^2*sinf*z5 + 134946000*ln2*sinf^2*z5 + 
    1574748000*ln2*z2*z5 + 1028916000*sinf*z2*z5 - 725563125*z3*z5 - 
    2290837500*sinf*z7)/56448000, H[1, 1, -1, -1, 1, 1, 0, -1, 1] -> 
  (56448000*li8half + 11289600*li7half*ln2 - 16934400*li6half*ln2^2 - 
    7526400*li5half*ln2^3 + 38360*ln2^8 - 28627200*ln2^2*s6 + 
    8064000*ln2*s7a + 10886400*ln2*s7b + 22806000*s8a + 116524800*s8b + 
    7257600*s8c + 20966400*s8d + 90316800*li7half*sinf - 
    33868800*li6half*ln2*sinf - 22579200*li5half*ln2^2*sinf + 
    123200*ln2^7*sinf - 41529600*ln2*s6*sinf + 7660800*s7a*sinf - 
    6451200*s7b*sinf - 62092800*li6half*sinf^2 - 22579200*li5half*ln2*
     sinf^2 + 101920*ln2^6*sinf^2 - 23990400*s6*sinf^2 + 
    79027200*li6half*z2 + 45158400*li5half*ln2*z2 - 454720*ln2^6*z2 - 
    15120000*s6*z2 + 22579200*li5half*sinf*z2 - 799680*ln2^5*sinf*z2 - 
    470400*ln2^4*sinf^2*z2 + 4193280*li4half*z2^2 + 2679600*ln2^4*z2^2 + 
    5832960*ln2^3*sinf*z2^2 + 3386880*ln2^2*sinf^2*z2^2 + 
    11118240*ln2^2*z2^3 + 26026560*ln2*sinf*z2^3 + 9172800*sinf^2*z2^3 - 
    21795768*z2^4 - 81446400*li5half*z3 + 1031520*ln2^5*z3 + 
    882000*ln2^4*sinf*z3 + 588000*ln2^3*sinf^2*z3 - 8316000*ln2^3*z2*z3 - 
    2116800*ln2^2*sinf*z2*z3 - 352800*ln2*sinf^2*z2*z3 - 
    38782800*ln2*z2^2*z3 + 2736720*sinf*z2^2*z3 + 18011700*ln2^2*z3^2 + 
    20424600*ln2*sinf*z3^2 + 8864100*sinf^2*z3^2 - 27360900*z2*z3^2 - 
    235200*ln2^3*z5 + 21168000*ln2^2*sinf*z5 + 7497000*ln2*sinf^2*z5 - 
    68833800*ln2*z2*z5 + 9336600*sinf*z2*z5 + 96503400*z3*z5 + 
    48902175*ln2*z7 - 143069850*sinf*z7)/11289600, 
 H[1, 1, -1, -1, 1, 1, -1, 1, 1] -> 
  (169344000*li8half + 28224000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 
    621600*ln2^8 - 51408000*ln2^2*s6 + 183725325*s8a + 654696000*s8b + 
    102816000*s8c + 66528000*s8d - 169344000*li7half*sinf + 
    84672000*li5half*ln2^2*sinf + 56448000*li4half*ln2^3*sinf + 
    1612800*ln2^7*sinf + 66528000*ln2*s6*sinf - 66528000*s7a*sinf + 
    102816000*s7b*sinf + 84672000*li6half*sinf^2 + 
    84672000*li5half*ln2*sinf^2 + 42336000*li4half*ln2^2*sinf^2 + 
    1136800*ln2^6*sinf^2 + 84672000*s6*sinf^2 - 84672000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 127008000*li4half*ln2^2*z2 - 
    6781600*ln2^6*z2 - 302400000*s6*z2 - 84672000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 10348800*ln2^5*sinf*z2 - 
    5292000*ln2^4*sinf^2*z2 + 4838400*li4half*z2^2 + 17841600*ln2^4*z2^2 + 
    11524800*ln2^3*sinf*z2^2 - 705600*ln2^2*sinf^2*z2^2 + 
    29282400*ln2^2*z2^3 + 16682400*ln2*sinf*z2^3 + 201600*sinf^2*z2^3 - 
    36309888*z2^4 + 15120000*li5half*z3 + 169344000*li4half*ln2*z3 + 
    14221200*ln2^5*z3 + 21168000*li4half*sinf*z3 + 20286000*ln2^4*sinf*z3 + 
    12936000*ln2^3*sinf^2*z3 - 88116000*ln2^3*z2*z3 - 
    44100000*ln2^2*sinf*z2*z3 - 95041800*ln2*z2^2*z3 - 
    18093600*sinf*z2^2*z3 + 49045500*ln2^2*z3^2 - 83160000*ln2*sinf*z3^2 - 
    36603000*sinf^2*z3^2 - 135103500*z2*z3^2 - 44835000*ln2^3*z5 - 
    312669000*ln2^2*sinf*z5 - 162729000*ln2*sinf^2*z5 - 11214000*ln2*z2*z5 - 
    158697000*sinf*z2*z5 + 258843375*z3*z5 + 488509875*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 1, 1, -1, 0, 1] -> 
  (-1862784000*li8half - 37632000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 
    320600*ln2^8 + 335664000*ln2^2*s6 - 988125075*s8a - 5631192000*s8b - 
    671328000*s8c - 556416000*s8d + 903168000*li7half*sinf - 
    112896000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf - 
    806400*ln2^7*sinf - 258048000*ln2*s6*sinf + 258048000*s7a*sinf - 
    362880000*s7b*sinf - 225792000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    548800*ln2^6*sinf^2 - 155232000*s6*sinf^2 + 225792000*li6half*z2 + 
    225792000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 2665600*ln2^6*z2 + 
    1881936000*s6*z2 + 112896000*li5half*sinf*z2 + 
    56448000*li4half*ln2*sinf*z2 + 3528000*ln2^5*sinf*z2 + 
    1764000*ln2^4*sinf^2*z2 - 105638400*li4half*z2^2 + 9357600*ln2^4*z2^2 + 
    26577600*ln2^3*sinf*z2^2 + 12348000*ln2^2*sinf^2*z2^2 - 
    94399200*ln2^2*z2^3 + 40622400*ln2*sinf*z2^3 + 18194400*sinf^2*z2^3 + 
    131138208*z2^4 + 915264000*li5half*z3 - 112896000*li4half*ln2*z3 - 
    16917600*ln2^5*z3 - 14112000*li4half*sinf*z3 - 12054000*ln2^4*sinf*z3 - 
    7644000*ln2^3*sinf^2*z3 + 134484000*ln2^3*z2*z3 + 
    33516000*ln2^2*sinf*z2*z3 + 1764000*ln2*sinf^2*z2*z3 + 
    722370600*ln2*z2^2*z3 + 98506800*sinf*z2^2*z3 + 48541500*ln2^2*z3^2 + 
    322560000*ln2*sinf*z3^2 + 60858000*sinf^2*z3^2 + 711868500*z2*z3^2 + 
    59535000*ln2^3*z5 + 780129000*ln2^2*sinf*z5 + 178605000*ln2*sinf^2*z5 + 
    1699110000*ln2*z2*z5 + 923517000*sinf*z2*z5 - 1099090125*z3*z5 - 
    2504391750*sinf*z7)/56448000, H[1, 1, -1, -1, 1, 1, -1, -1, 1] -> 
  (420*ln2^8 + 960*ln2^7*sinf + 560*ln2^6*sinf^2 - 3920*ln2^6*z2 - 
    3360*ln2^5*sinf*z2 + 25200*ln2^4*z2^2 + 36960*ln2^3*sinf*z2^2 + 
    10080*ln2^2*sinf^2*z2^2 + 14400*ln2^2*z2^3 + 24480*ln2*sinf*z2^3 + 
    2736*z2^4 + 1680*ln2^5*z3 - 12600*ln2^4*sinf*z3 - 8400*ln2^3*sinf^2*z3 - 
    33600*ln2^3*z2*z3 + 25200*ln2^2*sinf*z2*z3 - 108360*ln2*z2^2*z3 - 
    12600*sinf*z2^2*z3 + 151200*ln2^2*z3^2 + 3150*sinf^2*z3^2 + 
    47250*z2*z3^2 - 140700*ln2^3*z5 - 220500*ln2^2*sinf*z5 - 
    18900*ln2*sinf^2*z5 + 239400*ln2*z2*z5 + 18900*sinf*z2*z5 - 83475*z3*z5 - 
    201600*ln2*z7 - 14175*sinf*z7)/806400, H[1, 1, -1, -1, 1, 0, 1, 1, 1] -> 
  (-2540160*li4half^2 + 3386880*li8half - 211680*li4half*ln2^4 - 4326*ln2^8 - 
    100800*ln2^2*s6 - 22365*s8a - 7519680*s8b + 201600*s8c - 3165120*s8d - 
    1693440*li7half*sinf + 336*ln2^7*sinf - 2358720*ln2*s6*sinf + 
    2358720*s7a*sinf + 1653120*s7b*sinf + 282240*li6half*sinf^2 + 
    392*ln2^6*sinf^2 - 282240*s6*sinf^2 - 282240*li6half*z2 + 
    846720*li4half*ln2^2*z2 + 32536*ln2^6*z2 + 8094240*s6*z2 - 
    846720*li4half*ln2*sinf*z2 - 42336*ln2^5*sinf*z2 - 
    423360*li4half*sinf^2*z2 - 23520*ln2^4*sinf^2*z2 - 124992*li4half*z2^2 + 
    14784*ln2^4*z2^2 + 289296*ln2^3*sinf*z2^2 + 88200*ln2^2*sinf^2*z2^2 - 
    765072*ln2^2*z2^3 - 57456*ln2*sinf*z2^3 - 82152*sinf^2*z2^3 + 
    101142*z2^4 + 6330240*li5half*z3 - 1693440*li4half*ln2*z3 - 
    126840*ln2^5*z3 + 2751840*li4half*sinf*z3 + 105840*ln2^4*sinf*z3 - 
    5880*ln2^3*sinf^2*z3 + 603960*ln2^3*z2*z3 - 1411200*ln2^2*sinf*z2*z3 - 
    370440*ln2*sinf^2*z2*z3 - 39564*ln2*z2^2*z3 - 3452904*sinf*z2^2*z3 - 
    804510*ln2^2*z3^2 + 2948400*ln2*sinf*z3^2 + 496125*sinf^2*z3^2 + 
    891765*z2*z3^2 + 255780*ln2^3*z5 + 1450890*ln2^2*sinf*z5 + 
    767340*ln2*sinf^2*z5 - 2139480*ln2*z2*z5 - 5601330*sinf*z2*z5 - 
    4168080*z3*z5 + 19971315*sinf*z7)/564480, 
 H[1, 1, -1, -1, 1, 0, 1, 0, 1] -> 
  (338688000*li4half^2 - 1128960000*li8half + 37632000*li5half*ln2^3 + 
    56448000*li4half*ln2^4 + 1422400*ln2^8 + 137088000*ln2^2*s6 - 
    375083100*s8a - 1752912000*s8b - 274176000*s8c + 34272000*s8d + 
    451584000*li7half*sinf + 112896000*li5half*ln2^2*sinf + 
    75264000*li4half*ln2^3*sinf + 2105600*ln2^7*sinf + 
    201600000*ln2*s6*sinf - 201600000*s7a*sinf - 272160000*s7b*sinf + 
    112896000*li5half*ln2*sinf^2 + 56448000*li4half*ln2^2*sinf^2 + 
    1411200*ln2^6*sinf^2 + 70560000*s6*sinf^2 - 56448000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 169344000*li4half*ln2^2*z2 - 
    8388800*ln2^6*z2 - 5040000*s6*z2 + 112896000*li5half*sinf*z2 + 
    225792000*li4half*ln2*sinf*z2 + 940800*ln2^5*sinf*z2 + 
    56448000*li4half*sinf^2*z2 - 2352000*ln2^4*sinf^2*z2 - 
    185068800*li4half*z2^2 + 8870400*ln2^4*z2^2 - 17640000*ln2^3*sinf*z2^2 + 
    3880800*ln2^2*sinf^2*z2^2 + 35935200*ln2^2*z2^3 + 
    13154400*ln2*sinf*z2^3 + 6384000*sinf^2*z2^3 + 69273024*z2^4 - 
    96768000*li5half*z3 + 225792000*li4half*ln2*z3 + 15859200*ln2^5*z3 - 
    338688000*li4half*sinf*z3 + 9408000*ln2^3*sinf^2*z3 - 
    7476000*ln2^3*z2*z3 + 218736000*ln2^2*sinf*z2*z3 + 
    40572000*ln2*sinf^2*z2*z3 + 188470800*ln2*z2^2*z3 + 
    336142800*sinf*z2^2*z3 + 95004000*ln2^2*z3^2 - 252000000*ln2*sinf*z3^2 - 
    71001000*sinf^2*z3^2 + 389529000*z2*z3^2 - 75852000*ln2^3*z5 - 
    159201000*ln2^2*sinf*z5 - 227556000*ln2*sinf^2*z5 + 
    1277640000*ln2*z2*z5 + 954261000*sinf*z2*z5 - 202135500*z3*z5 - 
    2921617125*sinf*z7)/56448000, H[1, 1, -1, -1, 1, 0, 1, -1, 1] -> 
  (-5249664000*li8half - 338688000*li7half*ln2 + 197568000*li6half*ln2^2 + 
    150528000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 133000*ln2^8 + 
    991872000*ln2^2*s6 - 120960000*ln2*s7a + 62496000*ln2*s7b - 
    1920512475*s8a - 11550168000*s8b - 1417248000*s8c - 883008000*s8d - 
    169344000*li7half*sinf + 395136000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf + 75264000*li4half*ln2^3*sinf - 
    44800*ln2^7*sinf + 354816000*ln2*s6*sinf - 30240000*s7a*sinf + 
    54432000*s7b*sinf + 846720000*li6half*sinf^2 + 
    451584000*li5half*ln2*sinf^2 + 56448000*li4half*ln2^2*sinf^2 - 
    235200*ln2^6*sinf^2 + 493920000*s6*sinf^2 - 1044288000*li6half*z2 - 
    903168000*li5half*ln2*z2 - 169344000*li4half*ln2^2*z2 - 
    1607200*ln2^6*z2 + 2259936000*s6*z2 - 451584000*li5half*sinf*z2 - 
    112896000*li4half*ln2*sinf*z2 - 1646400*ln2^5*sinf*z2 - 
    1176000*ln2^4*sinf^2*z2 - 187891200*li4half*z2^2 + 24334800*ln2^4*z2^2 + 
    20697600*ln2^3*sinf*z2^2 - 16228800*ln2^2*sinf^2*z2^2 - 
    136332000*ln2^2*z2^3 - 115264800*ln2*sinf*z2^3 - 84672000*sinf^2*z2^3 + 
    397753344*z2^4 + 2556288000*li5half*z3 + 225792000*li4half*ln2*z3 - 
    16480800*ln2^5*z3 + 28224000*li4half*sinf*z3 - 10290000*ln2^4*sinf*z3 - 
    7644000*ln2^3*sinf^2*z3 + 181860000*ln2^3*z2*z3 + 
    89964000*ln2^2*sinf*z2*z3 + 42336000*ln2*sinf^2*z2*z3 + 
    1807230600*ln2*z2^2*z3 + 16984800*sinf*z2^2*z3 - 61708500*ln2^2*z3^2 - 
    313866000*ln2*sinf*z3^2 - 198009000*sinf^2*z3^2 + 1790806500*z2*z3^2 - 
    390138000*ln2^3*z5 - 719271000*ln2^2*sinf*z5 - 637245000*ln2*sinf^2*z5 + 
    5298552000*ln2*z2*z5 + 474705000*sinf*z2*z5 - 2344568625*z3*z5 + 
    12088125*ln2*z7 - 15238125*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 1, 0, 0, 1, 1] -> (-24192000*li4half^2 + 177408000*li8half + 
    5376000*li5half*ln2^3 + 1600*ln2^8 - 11088000*ln2^2*s6 + 72227925*s8a + 
    498456000*s8b + 22176000*s8c + 90720000*s8d - 112896000*li7half*sinf + 
    16128000*li5half*ln2^2*sinf + 5376000*li4half*ln2^3*sinf + 
    112000*ln2^7*sinf + 36576000*ln2*s6*sinf - 36576000*s7a*sinf + 
    19872000*s7b*sinf + 32256000*li6half*sinf^2 + 
    16128000*li5half*ln2*sinf^2 + 4032000*li4half*ln2^2*sinf^2 + 
    78400*ln2^6*sinf^2 + 12096000*s6*sinf^2 + 40320000*li6half*z2 - 
    32256000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 22400*ln2^6*z2 - 
    207648000*s6*z2 - 48384000*li5half*sinf*z2 - 16128000*li4half*ln2*sinf*
     z2 - 739200*ln2^5*sinf*z2 + 4032000*li4half*sinf^2*z2 - 
    168000*ln2^4*sinf^2*z2 + 33465600*li4half*z2^2 - 319200*ln2^4*z2^2 - 
    1747200*ln2^3*sinf*z2^2 - 2217600*ln2^2*sinf^2*z2^2 - 
    6076800*ln2^2*z2^3 - 17560800*ln2*sinf*z2^3 - 5671200*sinf^2*z2^3 - 
    40106832*z2^4 - 88704000*li5half*z3 + 1041600*ln2^5*z3 - 
    4032000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 504000*ln2^3*sinf^2*z3 - 
    7224000*ln2^3*z2*z3 + 6048000*ln2^2*sinf*z2*z3 + 
    6552000*ln2*sinf^2*z2*z3 - 29244600*ln2*z2^2*z3 + 1292400*sinf*z2^2*z3 - 
    94500*ln2^2*z3^2 - 45720000*ln2*sinf*z3^2 - 6520500*sinf^2*z3^2 - 
    52605000*z2*z3^2 - 4536000*ln2^3*z5 - 68292000*ln2^2*sinf*z5 - 
    13608000*ln2*sinf^2*z5 - 39312000*ln2*z2*z5 + 4500000*sinf*z2*z5 + 
    96319125*z3*z5 + 140218875*sinf*z7)/8064000, 
 H[1, 1, -1, -1, 1, 0, 0, 0, 1] -> 
  (6048000*li4half^2 + 504000*li4half*ln2^4 + 10500*ln2^8 + 
    1008000*ln2^2*s6 - 7249725*s8a - 32256000*s8b - 2016000*s8c - 
    9072000*s8d - 2016000*ln2*s6*sinf + 2016000*s7a*sinf - 2016000*s7b*sinf - 
    1008000*s6*sinf^2 - 16128000*li6half*z2 - 22400*ln2^6*z2 + 
    13608000*s6*z2 + 8064000*li5half*sinf*z2 + 6048000*li4half*ln2*sinf*z2 + 
    184800*ln2^5*sinf*z2 + 1008000*li4half*sinf^2*z2 + 
    42000*ln2^4*sinf^2*z2 - 5443200*li4half*z2^2 + 8400*ln2^4*z2^2 - 
    352800*ln2^3*sinf*z2^2 - 75600*ln2^2*sinf^2*z2^2 - 529200*ln2^2*z2^3 - 
    1562400*ln2*sinf*z2^3 - 885600*sinf^2*z2^3 + 5830344*z2^4 + 
    2016000*li5half*z3 - 16800*ln2^5*z3 - 2520000*li4half*sinf*z3 - 
    105000*ln2^4*sinf*z3 + 1050000*ln2^3*z2*z3 + 2142000*ln2^2*sinf*z2*z3 + 
    378000*ln2*sinf^2*z2*z3 + 995400*ln2*z2^2*z3 - 302400*sinf*z2^2*z3 + 
    283500*ln2^2*z3^2 + 2520000*ln2*sinf*z3^2 + 945000*sinf^2*z3^2 + 
    5339250*z2*z3^2 + 955500*ln2^3*z5 + 6772500*ln2^2*sinf*z5 + 
    2866500*ln2*sinf^2*z5 + 315000*ln2*z2*z5 - 8662500*sinf*z2*z5 - 
    9717750*z3*z5 + 10080000*sinf*z7)/2016000, 
 H[1, 1, -1, -1, 1, 0, 0, -1, 1] -> (11289600*li4half^2 - 225792000*li8half + 
    22579200*li7half*ln2 + 11289600*li6half*ln2^2 - 7526400*li5half*ln2^3 - 
    1881600*li4half*ln2^4 - 29680*ln2^8 + 18748800*ln2^2*s6 + 
    22982400*ln2*s7a - 22176000*ln2*s7b - 80687250*s8a - 395942400*s8b - 
    69350400*s8c - 4032000*s8d + 180633600*li7half*sinf + 
    22579200*li6half*ln2*sinf - 22579200*li5half*ln2^2*sinf - 
    7526400*li4half*ln2^3*sinf - 129920*ln2^7*sinf - 22176000*ln2*s6*sinf + 
    36288000*s7a*sinf - 110476800*s7b*sinf - 33868800*li6half*sinf^2 - 
    22579200*li5half*ln2*sinf^2 - 5644800*li4half*ln2^2*sinf^2 - 
    94080*ln2^6*sinf^2 - 43747200*s6*sinf^2 + 73382400*li6half*z2 + 
    45158400*li5half*ln2*z2 + 11289600*li4half*ln2^2*z2 + 290080*ln2^6*z2 + 
    111081600*s6*z2 + 11289600*li4half*ln2*sinf*z2 + 752640*ln2^5*sinf*z2 + 
    5644800*li4half*sinf^2*z2 + 470400*ln2^4*sinf^2*z2 - 
    8144640*li4half*z2^2 + 272160*ln2^4*z2^2 - 47040*ln2^3*sinf*z2^2 - 
    1058400*ln2^2*sinf^2*z2^2 - 5423040*ln2^2*z2^3 - 15402240*ln2*sinf*z2^3 - 
    3511200*sinf^2*z2^3 - 4892208*z2^4 - 3225600*li5half*z3 - 
    2822400*li4half*ln2*z3 - 514080*ln2^5*z3 - 16934400*li4half*sinf*z3 - 
    1764000*ln2^4*sinf*z3 - 705600*ln2^3*sinf^2*z3 + 4788000*ln2^3*z2*z3 + 
    10936800*ln2^2*sinf*z2*z3 + 4586400*ln2*sinf^2*z2*z3 + 
    44709840*ln2*z2^2*z3 + 36560160*sinf*z2^2*z3 + 44257500*ln2^2*z3^2 + 
    65381400*ln2*sinf*z3^2 + 15787800*sinf^2*z3^2 + 31638600*z2*z3^2 + 
    68325600*ln2^3*z5 + 215913600*ln2^2*sinf*z5 + 73735200*ln2*sinf^2*z5 + 
    127134000*ln2*z2*z5 + 291097800*sinf*z2*z5 + 76280400*z3*z5 - 
    20589975*ln2*z7 - 670490100*sinf*z7)/11289600, 
 H[1, 1, -1, -1, 1, 0, -1, 1, 1] -> 
  (169344000*li8half - 1128960*li6half*ln2^2 - 2634240*li5half*ln2^3 - 
    1128960*li4half*ln2^4 - 22456*ln2^8 - 14152320*ln2^2*s6 + 47965680*s8a + 
    306835200*s8b + 28869120*s8c + 29272320*s8d + 9031680*li7half*sinf - 
    11289600*li5half*ln2^2*sinf - 3010560*li4half*ln2^3*sinf - 
    33152*ln2^7*sinf - 4032000*ln2*s6*sinf + 4032000*s7a*sinf - 
    5564160*s7b*sinf - 27095040*li6half*sinf^2 - 14676480*li5half*ln2*
     sinf^2 - 2257920*li4half*ln2^2*sinf^2 - 9408*ln2^6*sinf^2 - 
    14676480*s6*sinf^2 + 28224000*li6half*z2 + 22579200*li5half*ln2*z2 + 
    6773760*li4half*ln2^2*z2 + 271264*ln2^6*z2 - 73221120*s6*z2 + 
    11289600*li5half*sinf*z2 + 4515840*li4half*ln2*sinf*z2 + 
    366912*ln2^5*sinf*z2 + 188160*ln2^4*sinf^2*z2 + 6306048*li4half*z2^2 - 
    1856400*ln2^4*z2^2 - 1317120*ln2^3*sinf*z2^2 + 733824*ln2^2*sinf^2*z2^2 - 
    1526112*ln2^2*z2^3 + 1792224*ln2*sinf*z2^3 + 3019968*sinf^2*z2^3 - 
    16567200*z2^4 - 72374400*li5half*z3 - 9031680*li4half*ln2*z3 + 
    43344*ln2^5*z3 - 1128960*li4half*sinf*z3 - 505680*ln2^4*sinf*z3 - 
    305760*ln2^3*sinf^2*z3 - 856800*ln2^3*z2*z3 + 1199520*ln2^2*sinf*z2*z3 - 
    211680*ln2*sinf^2*z2*z3 - 39923856*ln2*z2^2*z3 + 1310400*sinf*z2^2*z3 - 
    4580100*ln2^2*z3^2 + 5040000*ln2*sinf*z3^2 + 5733000*sinf^2*z3^2 - 
    38242260*z2*z3^2 + 981960*ln2^3*z5 + 18804240*ln2^2*sinf*z5 + 
    16070040*ln2*sinf^2*z5 - 104088600*ln2*z2*z5 + 7136640*sinf*z2*z5 + 
    49220640*z3*z5 - 36333045*sinf*z7)/2257920, 
 H[1, 1, -1, -1, 1, 0, -1, 0, 1] -> (33868800*li4half^2 - 112896000*li8half + 
    3763200*li5half*ln2^3 + 5644800*li4half*ln2^4 + 142240*ln2^8 + 
    7862400*ln2^2*s6 - 49442400*s8a - 284457600*s8b - 15724800*s8c - 
    49190400*s8d + 45158400*li7half*sinf + 11289600*li5half*ln2^2*sinf + 
    7526400*li4half*ln2^3*sinf + 210560*ln2^7*sinf + 3830400*ln2*s6*sinf - 
    3830400*s7a*sinf - 22176000*s7b*sinf + 11289600*li5half*ln2*sinf^2 + 
    5644800*li4half*ln2^2*sinf^2 + 141120*ln2^6*sinf^2 + 4233600*s6*sinf^2 - 
    2822400*li6half*z2 + 2822400*li5half*ln2*z2 - 16934400*li4half*ln2^2*z2 - 
    1046640*ln2^6*z2 + 127310400*s6*z2 + 36691200*li5half*sinf*z2 + 
    22579200*li4half*ln2*sinf*z2 - 117600*ln2^5*sinf*z2 + 
    5644800*li4half*sinf^2*z2 - 235200*ln2^4*sinf^2*z2 - 
    29030400*li4half*z2^2 + 2841720*ln2^4*z2^2 + 893760*ln2^3*sinf*z2^2 + 
    529200*ln2^2*sinf^2*z2^2 + 1008000*ln2^2*z2^3 + 4163040*ln2*sinf*z2^3 - 
    1182720*sinf^2*z2^3 + 26874912*z2^4 + 51105600*li5half*z3 + 
    22579200*li4half*ln2*z3 + 938280*ln2^5*z3 - 33868800*li4half*sinf*z3 - 
    352800*ln2^4*sinf*z3 + 705600*ln2^3*sinf^2*z3 - 2150400*ln2^3*z2*z3 + 
    9878400*ln2^2*sinf*z2*z3 + 882000*ln2*sinf^2*z2*z3 + 
    20500200*ln2*z2^2*z3 + 20611080*sinf*z2^2*z3 + 6444900*ln2^2*z3^2 - 
    4788000*ln2*sinf*z3^2 - 2227050*sinf^2*z3^2 + 29786400*z2*z3^2 - 
    3807300*ln2^3*z5 + 6350400*ln2^2*sinf*z5 - 11421900*ln2*sinf^2*z5 + 
    20802600*ln2*z2*z5 + 21747600*sinf*z2*z5 - 82093725*z3*z5 - 
    156340800*sinf*z7)/5644800, H[1, 1, -1, -1, 1, 0, -1, -1, 1] -> 
  (564480000*li8half + 225792000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    84672000*li5half*ln2^3 + 361200*ln2^8 - 174384000*ln2^2*s6 + 
    64512000*ln2*s7a - 90720000*ln2*s7b - 139644225*s8a - 359352000*s8b - 
    6048000*s8c - 177408000*s8d - 508032000*li6half*ln2*sinf - 
    169344000*li5half*ln2^2*sinf + 705600*ln2^7*sinf - 
    393120000*ln2*s6*sinf + 181440000*s7a*sinf - 241920000*s7b*sinf - 
    254016000*li6half*sinf^2 - 84672000*li5half*ln2*sinf^2 + 
    352800*ln2^6*sinf^2 - 211680000*s6*sinf^2 + 508032000*li6half*z2 + 
    254016000*li5half*ln2*z2 - 3214400*ln2^6*z2 + 764064000*s6*z2 + 
    84672000*li5half*sinf*z2 - 4233600*ln2^5*sinf*z2 - 
    1764000*ln2^4*sinf^2*z2 - 35481600*li4half*z2^2 + 26569200*ln2^4*z2^2 + 
    41630400*ln2^3*sinf*z2^2 + 16934400*ln2^2*sinf^2*z2^2 - 
    67586400*ln2^2*z2^3 - 27820800*ln2*sinf*z2^3 + 12902400*sinf^2*z2^3 - 
    1402056*z2^4 + 185472000*li5half*z3 - 1898400*ln2^5*z3 - 
    882000*ln2^4*sinf*z3 - 588000*ln2^3*sinf^2*z3 + 17808000*ln2^3*z2*z3 + 
    1764000*ln2^2*sinf*z2*z3 + 102627000*ln2*z2^2*z3 + 
    68140800*sinf*z2^2*z3 + 84798000*ln2^2*z3^2 + 306180000*ln2*sinf*z3^2 + 
    79821000*sinf^2*z3^2 - 66244500*z2*z3^2 + 340011000*ln2^3*z5 + 
    814968000*ln2^2*sinf*z5 + 240786000*ln2*sinf^2*z5 - 356139000*ln2*z2*z5 + 
    483084000*sinf*z2*z5 - 574725375*z3*z5 - 391458375*ln2*z7 - 
    864438750*sinf*z7)/56448000, H[1, 1, -1, -1, 1, -1, 1, 1, 1] -> 
  (846720000*li8half - 28224000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 
    655200*ln2^8 - 384048000*ln2^2*s6 + 957919725*s8a + 4289544000*s8b + 
    768096000*s8c + 78624000*s8d - 338688000*li7half*sinf - 
    84672000*li5half*ln2^2*sinf - 56448000*li4half*ln2^3*sinf - 
    1646400*ln2^7*sinf + 6048000*ln2*s6*sinf - 6048000*s7a*sinf + 
    332640000*s7b*sinf - 84672000*li5half*ln2*sinf^2 - 
    42336000*li4half*ln2^2*sinf^2 - 1097600*ln2^6*sinf^2 + 
    169344000*li5half*ln2*z2 + 127008000*li4half*ln2^2*z2 + 
    6507200*ln2^6*z2 - 580608000*s6*z2 + 84672000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 8702400*ln2^5*sinf*z2 + 
    3528000*ln2^4*sinf^2*z2 + 24192000*li4half*z2^2 - 34624800*ln2^4*z2^2 - 
    49156800*ln2^3*sinf*z2^2 - 16934400*ln2^2*sinf^2*z2^2 + 
    81496800*ln2^2*z2^3 - 22327200*ln2*sinf*z2^3 - 13641600*sinf^2*z2^3 + 
    16495176*z2^4 - 305424000*li5half*z3 - 169344000*li4half*ln2*z3 - 
    4628400*ln2^5*z3 - 21168000*li4half*sinf*z3 + 588000*ln2^3*sinf^2*z3 - 
    23100000*ln2^3*z2*z3 - 81144000*ln2^2*sinf*z2*z3 - 
    42336000*ln2*sinf^2*z2*z3 - 820953000*ln2*z2^2*z3 - 
    298494000*sinf*z2^2*z3 - 189157500*ln2^2*z3^2 - 7560000*ln2*sinf*z3^2 + 
    42115500*sinf^2*z3^2 - 664713000*z2*z3^2 + 50421000*ln2^3*z5 - 
    162729000*ln2^2*sinf*z5 + 165375000*ln2*sinf^2*z5 - 
    2620926000*ln2*z2*z5 - 1153089000*sinf*z2*z5 + 852555375*z3*z5 + 
    2930263875*sinf*z7)/56448000, H[1, 1, -1, -1, 1, -1, 1, 0, 1] -> 
  (-1975680000*li8half - 28224000*li5half*ln2^3 + 186200*ln2^8 + 
    517104000*ln2^2*s6 - 1314383175*s8a - 6694632000*s8b - 1034208000*s8c - 
    292320000*s8d + 959616000*li7half*sinf - 84672000*li5half*ln2^2*sinf + 
    515200*ln2^7*sinf - 129024000*ln2*s6*sinf + 129024000*s7a*sinf - 
    491904000*s7b*sinf - 225792000*li6half*sinf^2 - 
    84672000*li5half*ln2*sinf^2 + 392000*ln2^6*sinf^2 - 105840000*s6*sinf^2 + 
    564480000*li6half*z2 + 169344000*li5half*ln2*z2 - 2587200*ln2^6*z2 + 
    1692432000*s6*z2 - 84672000*li5half*sinf*z2 - 3998400*ln2^5*sinf*z2 - 
    2940000*ln2^4*sinf^2*z2 - 58464000*li4half*z2^2 + 20731200*ln2^4*z2^2 + 
    24225600*ln2^3*sinf*z2^2 + 12348000*ln2^2*sinf^2*z2^2 - 
    120909600*ln2^2*z2^3 + 39110400*ln2*sinf*z2^3 + 43293600*sinf^2*z2^3 - 
    39996048*z2^4 + 605808000*li5half*z3 - 2226000*ln2^5*z3 + 
    7056000*ln2^4*sinf*z3 + 4704000*ln2^3*sinf^2*z3 + 117516000*ln2^3*z2*z3 + 
    141120000*ln2^2*sinf*z2*z3 + 38808000*ln2*sinf^2*z2*z3 + 
    964870200*ln2*z2^2*z3 + 274780800*sinf*z2^2*z3 + 173659500*ln2^2*z3^2 + 
    161280000*ln2*sinf*z3^2 - 3969000*sinf^2*z3^2 + 983146500*z2*z3^2 - 
    4263000*ln2^3*z5 + 588735000*ln2^2*sinf*z5 - 12789000*ln2*sinf^2*z5 + 
    3114090000*ln2*z2*z5 + 1807911000*sinf*z2*z5 - 1088695125*z3*z5 - 
    4344653250*sinf*z7)/56448000, H[1, 1, -1, -1, 1, -1, 1, -1, 1] -> 
  (-20321280*li8half + 84*ln2^8 + 6048000*ln2^2*s6 - 14514255*s8a - 
    75479040*s8b - 12096000*s8c - 3991680*s8d + 10160640*li7half*sinf - 
    672*ln2^7*sinf - 2540160*ln2*s6*sinf + 2540160*s7a*sinf - 
    3386880*s7b*sinf - 1693440*li6half*sinf^2 - 1568*ln2^6*sinf^2 + 
    423360*s6*sinf^2 + 1693440*li6half*z2 + 10976*ln2^6*z2 + 15603840*s6*z2 + 
    37632*ln2^5*sinf*z2 + 35280*ln2^4*sinf^2*z2 - 798336*li4half*z2^2 + 
    291312*ln2^4*z2^2 + 700896*ln2^3*sinf*z2^2 + 338688*ln2^2*sinf^2*z2^2 - 
    1188096*ln2^2*z2^3 + 1569120*ln2*sinf*z2^3 + 548352*sinf^2*z2^3 - 
    187932*z2^4 + 7983360*li5half*z3 - 212352*ln2^5*z3 - 
    388080*ln2^4*sinf*z3 - 258720*ln2^3*sinf^2*z3 + 2452800*ln2^3*z2*z3 + 
    2469600*ln2^2*sinf*z2*z3 + 846720*ln2*sinf^2*z2*z3 + 
    13345920*ln2*z2^2*z3 + 1771056*sinf*z2^2*z3 + 148680*ln2^2*z3^2 - 
    211680*ln2*sinf*z3^2 - 379260*sinf^2*z3^2 + 13702500*z2*z3^2 - 
    1281840*ln2^3*z5 + 1614060*ln2^2*sinf*z5 - 4127760*ln2*sinf^2*z5 + 
    44261280*ln2*z2*z5 + 14261940*sinf*z2*z5 - 16550415*z3*z5 - 
    12630240*ln2*z7 - 35562240*sinf*z7)/1128960, 
 H[1, 1, -1, -1, 1, -1, 0, 1, 1] -> 
  (-50803200*li4half^2 + 124185600*li8half + 20697600*li5half*ln2^3 + 
    5644800*li4half*ln2^4 + 154000*ln2^8 + 10281600*ln2^2*s6 + 30106125*s8a + 
    240206400*s8b - 20563200*s8c + 91123200*s8d - 180633600*li7half*sinf + 
    62092800*li5half*ln2^2*sinf + 26342400*li4half*ln2^3*sinf + 
    616000*ln2^7*sinf + 62496000*ln2*s6*sinf - 62496000*s7a*sinf + 
    19353600*s7b*sinf + 84672000*li6half*sinf^2 + 
    62092800*li5half*ln2*sinf^2 + 19756800*li4half*ln2^2*sinf^2 + 
    423360*ln2^6*sinf^2 + 42336000*s6*sinf^2 - 50803200*li6half*z2 - 
    124185600*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1787520*ln2^6*z2 - 
    225993600*s6*z2 - 95961600*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 4092480*ln2^5*sinf*z2 + 8467200*li4half*sinf^2*z2 - 
    1411200*ln2^4*sinf^2*z2 + 48142080*li4half*z2^2 + 7297920*ln2^4*z2^2 + 
    7056000*ln2^3*sinf*z2^2 - 2328480*ln2^2*sinf^2*z2^2 - 
    7691040*ln2^2*z2^3 - 23688000*ln2*sinf*z2^3 - 11743200*sinf^2*z2^3 - 
    41974824*z2^4 - 5846400*li5half*z3 + 45158400*li4half*ln2*z3 + 
    3764880*ln2^5*z3 - 2822400*li4half*sinf*z3 + 4468800*ln2^4*sinf*z3 + 
    3057600*ln2^3*sinf^2*z3 - 20714400*ln2^3*z2*z3 + 
    7056000*ln2^2*sinf*z2*z3 + 15523200*ln2*sinf^2*z2*z3 + 
    30086280*ln2*z2^2*z3 + 12499200*sinf*z2^2*z3 + 21237300*ln2^2*z3^2 - 
    78120000*ln2*sinf*z3^2 - 21873600*sinf^2*z3^2 - 1467900*z2*z3^2 - 
    24843000*ln2^3*z5 - 153820800*ln2^2*sinf*z5 - 74529000*ln2*sinf^2*z5 + 
    205102800*ln2*z2*z5 + 80211600*sinf*z2*z5 + 28515375*z3*z5 + 
    100267650*sinf*z7)/11289600, H[1, 1, -1, -1, 1, -1, 0, 0, 1] -> 
  (50803200*li4half^2 + 316108800*li8half + 3763200*li5half*ln2^3 + 
    4233600*li4half*ln2^4 + 64680*ln2^8 - 56851200*ln2^2*s6 + 139579650*s8a + 
    885225600*s8b + 113702400*s8c + 47174400*s8d - 158054400*li7half*sinf + 
    11289600*li5half*ln2^2*sinf - 62720*ln2^7*sinf + 29836800*ln2*s6*sinf - 
    29836800*s7a*sinf + 52012800*s7b*sinf + 33868800*li6half*sinf^2 + 
    11289600*li5half*ln2*sinf^2 - 47040*ln2^6*sinf^2 + 9878400*s6*sinf^2 - 
    135475200*li6half*z2 - 22579200*li5half*ln2*z2 + 94080*ln2^6*z2 - 
    266515200*s6*z2 + 45158400*li5half*sinf*z2 + 50803200*li4half*ln2*sinf*
     z2 + 2022720*ln2^5*sinf*z2 + 8467200*li4half*sinf^2*z2 + 
    588000*ln2^4*sinf^2*z2 - 21047040*li4half*z2^2 - 5557440*ln2^4*z2^2 - 
    13547520*ln2^3*sinf*z2^2 - 4233600*ln2^2*sinf^2*z2^2 + 
    13739040*ln2^2*z2^3 - 22770720*ln2*sinf*z2^3 - 10997280*sinf^2*z2^3 + 
    18591408*z2^4 - 164908800*li5half*z3 + 950880*ln2^5*z3 - 
    21168000*li4half*sinf*z3 - 1940400*ln2^4*sinf*z3 - 
    705600*ln2^3*sinf^2*z3 - 4334400*ln2^3*z2*z3 + 
    18698400*ln2^2*sinf*z2*z3 + 2822400*ln2*sinf^2*z2*z3 - 
    134885520*ln2*z2^2*z3 - 24585120*sinf*z2^2*z3 - 20223000*ln2^2*z3^2 - 
    37296000*ln2*sinf*z3^2 + 2028600*sinf^2*z3^2 - 99036000*z2*z3^2 + 
    4674600*ln2^3*z5 - 65268000*ln2^2*sinf*z5 + 14023800*ln2*sinf^2*z5 - 
    369154800*ln2*z2*z5 - 256510800*sinf*z2*z5 + 149328900*z3*z5 + 
    565552575*sinf*z7)/11289600, H[1, 1, -1, -1, 1, -1, 0, -1, 1] -> 
  (16934400*li4half^2 - 45158400*li8half - 11289600*li7half*ln2 + 
    16934400*li6half*ln2^2 + 9408000*li5half*ln2^3 + 2822400*li4half*ln2^4 + 
    34440*ln2^8 + 51206400*ln2^2*s6 + 8870400*ln2*s7a + 6048000*ln2*s7b - 
    81348750*s8a - 285868800*s8b - 86284800*s8c + 18547200*s8d - 
    101606400*li7half*sinf + 33868800*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf + 3763200*li4half*ln2^3*sinf - 
    11200*ln2^7*sinf + 64108800*ln2*s6*sinf - 30240000*s7a*sinf - 
    55641600*s7b*sinf + 67737600*li6half*sinf^2 + 
    28224000*li5half*ln2*sinf^2 + 2822400*li4half*ln2^2*sinf^2 - 
    23520*ln2^6*sinf^2 + 4233600*s6*sinf^2 - 67737600*li6half*z2 - 
    56448000*li5half*ln2*z2 - 16934400*li4half*ln2^2*z2 - 344960*ln2^6*z2 - 
    7459200*s6*z2 - 45158400*li5half*sinf*z2 - 5644800*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 + 8467200*li4half*sinf^2*z2 + 
    470400*ln2^4*sinf^2*z2 - 9555840*li4half*z2^2 - 903840*ln2^4*z2^2 - 
    6303360*ln2^3*sinf*z2^2 - 5503680*ln2^2*sinf^2*z2^2 - 
    20825280*ln2^2*z2^3 - 53061120*ln2*sinf*z2^3 - 17256960*sinf^2*z2^3 - 
    7701504*z2^4 + 33465600*li5half*z3 + 40924800*li4half*ln2*z3 + 
    1567440*ln2^5*z3 - 19756800*li4half*sinf*z3 - 470400*ln2^4*sinf*z3 + 
    235200*ln2^3*sinf^2*z3 - 6736800*ln2^3*z2*z3 + 
    11995200*ln2^2*sinf*z2*z3 + 7761600*ln2*sinf^2*z2*z3 + 
    44286480*ln2*z2^2*z3 + 23758560*sinf*z2^2*z3 + 38656800*ln2^2*z3^2 - 
    9752400*ln2*sinf*z3^2 - 3616200*sinf^2*z3^2 + 60127200*z2*z3^2 + 
    12994800*ln2^3*z5 + 55389600*ln2^2*sinf*z5 + 30781800*ln2*sinf^2*z5 + 
    176790600*ln2*z2*z5 + 166005000*sinf*z2*z5 + 494550*z3*z5 + 
    192457125*ln2*z7 - 149489550*sinf*z7)/11289600, 
 H[1, 1, -1, -1, 1, -1, -1, 1, 1] -> 
  (-241920000*li8half - 4032000*li5half*ln2^3 + 31800*ln2^8 + 
    33264000*ln2^2*s6 - 74688075*s8a - 600264000*s8b - 66528000*s8c - 
    48384000*s8d + 145152000*li7half*sinf - 12096000*li5half*ln2^2*sinf + 
    81600*ln2^7*sinf - 25920000*ln2*s6*sinf + 25920000*s7a*sinf - 
    34560000*s7b*sinf - 36288000*li6half*sinf^2 - 
    12096000*li5half*ln2*sinf^2 + 56000*ln2^6*sinf^2 - 15120000*s6*sinf^2 + 
    36288000*li6half*z2 + 24192000*li5half*ln2*z2 - 358400*ln2^6*z2 + 
    169344000*s6*z2 + 12096000*li5half*sinf*z2 - 537600*ln2^5*sinf*z2 - 
    252000*ln2^4*sinf^2*z2 - 9676800*li4half*z2^2 + 3427200*ln2^4*z2^2 + 
    6014400*ln2^3*sinf*z2^2 + 2419200*ln2^2*sinf^2*z2^2 + 530400*ln2^2*z2^3 + 
    19065600*ln2*sinf*z2^3 + 5068800*sinf^2*z2^3 - 1738272*z2^4 + 
    75600000*li5half*z3 - 613200*ln2^5*z3 - 126000*ln2^4*sinf*z3 - 
    84000*ln2^3*sinf^2*z3 + 5964000*ln2^3*z2*z3 + 252000*ln2^2*sinf*z2*z3 + 
    63844200*ln2*z2^2*z3 + 9810000*sinf*z2^2*z3 + 14899500*ln2^2*z3^2 + 
    32400000*ln2*sinf*z3^2 + 5701500*sinf^2*z3^2 + 60102000*z2*z3^2 - 
    9723000*ln2^3*z5 + 45549000*ln2^2*sinf*z5 + 5103000*ln2*sinf^2*z5 + 
    225666000*ln2*z2*z5 + 116451000*sinf*z2*z5 - 8654625*z3*z5 - 
    349110000*sinf*z7)/8064000, H[1, 1, -1, -1, 1, -1, -1, 0, 1] -> 
  (254016000*li4half^2 + 2032128000*li8half + 37632000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 + 471800*ln2^8 - 412272000*ln2^2*s6 + 
    945263025*s8a + 6589800000*s8b + 824544000*s8c + 501984000*s8d - 
    1016064000*li7half*sinf + 112896000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 44800*ln2^7*sinf + 338688000*ln2*s6*sinf - 
    338688000*s7a*sinf + 282240000*s7b*sinf + 254016000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 + 
    105840000*s6*sinf^2 - 762048000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1984752000*s6*z2 + 
    225792000*li5half*sinf*z2 + 225792000*li4half*ln2*sinf*z2 + 
    9643200*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 + 
    2940000*ln2^4*sinf^2*z2 - 37900800*li4half*z2^2 - 30626400*ln2^4*z2^2 - 
    68913600*ln2^3*sinf*z2^2 - 22932000*ln2^2*sinf^2*z2^2 + 
    141120000*ln2^2*z2^3 - 94046400*ln2*sinf*z2^3 - 52416000*sinf^2*z2^3 + 
    138086184*z2^4 - 1145088000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    11541600*ln2^5*z3 - 268128000*li4half*sinf*z3 - 12054000*ln2^4*sinf*z3 - 
    588000*ln2^3*sinf^2*z3 - 106596000*ln2^3*z2*z3 + 
    61740000*ln2^2*sinf*z2*z3 - 1764000*ln2*sinf^2*z2*z3 - 
    896452200*ln2*z2^2*z3 + 18169200*sinf*z2^2*z3 - 119479500*ln2^2*z3^2 - 
    423360000*ln2*sinf*z3^2 - 39249000*sinf^2*z3^2 - 699331500*z2*z3^2 + 
    4263000*ln2^3*z5 - 588735000*ln2^2*sinf*z5 + 12789000*ln2*sinf^2*z5 - 
    2866122000*ln2*z2*z5 - 1326969000*sinf*z2*z5 + 717168375*z3*z5 + 
    2673893250*sinf*z7)/56448000, H[1, 1, -1, -1, 1, -1, -1, -1, 1] -> 
  (1749888000*li8half + 37632000*li5half*ln2^3 + 7056000*li4half*ln2^4 - 
    5600*ln2^8 - 165312000*ln2^2*s6 + 393825600*s8a + 3298176000*s8b + 
    330624000*s8c + 262080000*s8d - 1072512000*li7half*sinf + 
    112896000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf - 
    11200*ln2^7*sinf + 104832000*ln2*s6*sinf - 104832000*s7a*sinf + 
    106848000*s7b*sinf + 282240000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 + 14112000*li4half*ln2^2*sinf^2 - 
    282240000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 156800*ln2^6*z2 - 820512000*s6*z2 - 
    112896000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 + 49593600*li4half*z2^2 - 18278400*ln2^4*z2^2 - 
    37396800*ln2^3*sinf*z2^2 - 16934400*ln2^2*sinf^2*z2^2 - 
    67166400*ln2^2*z2^3 - 215157600*ln2*sinf*z2^3 - 64512000*sinf^2*z2^3 - 
    6815664*z2^4 - 326592000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    7425600*ln2^5*z3 + 7056000*li4half*sinf*z3 + 7350000*ln2^4*sinf*z3 + 
    4704000*ln2^3*sinf^2*z3 - 55440000*ln2^3*z2*z3 - 
    15876000*ln2^2*sinf*z2*z3 - 323416800*ln2*z2^2*z3 - 
    34776000*sinf*z2^2*z3 - 46494000*ln2^2*z3^2 - 102816000*ln2*sinf*z3^2 - 
    374094000*z2*z3^2 + 136416000*ln2^3*z5 + 91287000*ln2^2*sinf*z5 + 
    169344000*ln2*sinf^2*z5 - 1457568000*ln2*z2*z5 - 489825000*sinf*z2*z5 - 
    2268000*z3*z5 + 430416000*ln2*z7 + 2032167375*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 0, 1, 1, 1, 1] -> (84672000*li4half^2 - 225792000*li8half - 
    9408000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 219800*ln2^8 + 
    73584000*ln2^2*s6 - 227116575*s8a - 1544760000*s8b - 147168000*s8c - 
    163296000*s8d + 169344000*li7half*sinf - 28224000*li5half*ln2^2*sinf + 
    201600*ln2^7*sinf - 46368000*ln2*s6*sinf + 46368000*s7a*sinf - 
    122976000*s7b*sinf - 56448000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 + 156800*ln2^6*sinf^2 - 14112000*s6*sinf^2 + 
    56448000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 2195200*ln2^6*z2 + 495936000*s6*z2 + 
    28224000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 - 
    705600*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 - 
    588000*ln2^4*sinf^2*z2 - 49593600*li4half*z2^2 + 6048000*ln2^4*z2^2 + 
    2822400*ln2^3*sinf*z2^2 + 2116800*ln2^2*sinf^2*z2^2 + 
    36943200*ln2^2*z2^3 + 8920800*ln2*sinf*z2^3 + 6350400*sinf^2*z2^3 + 
    2212128*z2^4 + 277200000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    2511600*ln2^5*z3 - 91728000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 + 
    4116000*ln2^3*sinf^2*z3 - 7476000*ln2^3*z2*z3 + 
    10584000*ln2^2*sinf*z2*z3 + 189088200*ln2*z2^2*z3 + 
    78750000*sinf*z2^2*z3 + 45391500*ln2^2*z3^2 + 57960000*ln2*sinf*z3^2 + 
    3748500*sinf^2*z3^2 + 143451000*z2*z3^2 + 1176000*ln2^3*z5 + 
    167580000*ln2^2*sinf*z5 + 3528000*ln2*sinf^2*z5 + 434448000*ln2*z2*z5 + 
    363006000*sinf*z2*z5 - 211782375*z3*z5 - 909129375*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 0, 1, 1, 0, 1] -> (-97776000*ln2^2*s6 + 297733275*s8a + 
    1611288000*s8b + 195552000*s8c + 157248000*s8d + 80640000*ln2*s6*sinf - 
    80640000*s7a*sinf + 116928000*s7b*sinf + 21168000*s6*sinf^2 + 
    112896000*li6half*z2 + 156800*ln2^6*z2 - 526176000*s6*z2 - 
    56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 31449600*li4half*z2^2 - 
    4569600*ln2^4*z2^2 - 14112000*ln2^3*sinf*z2^2 - 
    7056000*ln2^2*sinf^2*z2^2 + 25099200*ln2^2*z2^3 + 
    14414400*ln2*sinf*z2^3 + 3074400*sinf^2*z2^3 - 21988656*z2^4 - 
    258048000*li5half*z3 + 2150400*ln2^5*z3 - 25620000*ln2^3*z2*z3 - 
    7056000*ln2^2*sinf*z2*z3 - 1764000*ln2*sinf^2*z2*z3 - 
    233969400*ln2*z2^2*z3 - 37497600*sinf*z2^2*z3 - 27499500*ln2^2*z3^2 - 
    100800000*ln2*sinf*z3^2 - 7717500*sinf^2*z3^2 - 207963000*z2*z3^2 - 
    5880000*ln2^3*z5 - 209034000*ln2^2*sinf*z5 - 17640000*ln2*sinf^2*z5 - 
    551376000*ln2*z2*z5 - 287910000*sinf*z2*z5 + 380401875*z3*z5 + 
    586136250*sinf*z7)/56448000, H[1, 1, -1, -1, 0, 1, 1, -1, 1] -> 
  (10442880000*li8half + 846720000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 340200*ln2^8 - 
    1811376000*ln2^2*s6 + 185472000*ln2*s7a - 223776000*ln2*s7b + 
    4590921825*s8a + 27475560000*s8b + 3223584000*s8c + 2534112000*s8d - 
    2032128000*li7half*sinf - 112896000*li6half*ln2*sinf - 
    84672000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf - 
    616000*ln2^7*sinf + 479808000*ln2*s6*sinf - 508032000*s7a*sinf + 
    663264000*s7b*sinf - 84672000*li5half*ln2*sinf^2 - 
    28224000*li4half*ln2^2*sinf^2 - 470400*ln2^6*sinf^2 + 
    21168000*s6*sinf^2 + 56448000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 6115200*ln2^6*z2 - 7954128000*s6*z2 + 
    84672000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    11995200*ln2^5*sinf*z2 + 10584000*ln2^4*sinf^2*z2 + 
    512467200*li4half*z2^2 - 88368000*ln2^4*z2^2 - 
    147470400*ln2^3*sinf*z2^2 - 24343200*ln2^2*sinf^2*z2^2 + 
    382284000*ln2^2*z2^3 - 88149600*ln2*sinf*z2^3 + 4132800*sinf^2*z2^3 - 
    709555968*z2^4 - 5216400000*li5half*z3 - 112896000*li4half*ln2*z3 + 
    38766000*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 
    364140000*ln2^3*z2*z3 + 8820000*ln2^2*sinf*z2*z3 - 
    3620647800*ln2*z2^2*z3 - 185925600*sinf*z2^2*z3 - 214641000*ln2^2*z3^2 - 
    621369000*ln2*sinf*z3^2 - 7938000*sinf^2*z3^2 - 3503430000*z2*z3^2 + 
    413511000*ln2^3*z5 - 1083537000*ln2^2*sinf*z5 + 51156000*ln2*sinf^2*z5 - 
    9102933000*ln2*z2*z5 - 2036097000*sinf*z2*z5 + 4932356625*z3*z5 - 
    1713812625*ln2*z7 + 5086879875*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 0, 1, 0, 1, 1] -> 
  (-338688000*li4half^2 + 903168000*li8half + 37632000*li5half*ln2^3 - 
    28224000*li4half*ln2^4 - 879200*ln2^8 + 17136000*ln2^2*s6 + 
    56997675*s8a + 1517544000*s8b - 34272000*s8c + 302400000*s8d - 
    677376000*li7half*sinf + 112896000*li5half*ln2^2*sinf - 
    806400*ln2^7*sinf - 62496000*ln2*s6*sinf + 62496000*s7a*sinf + 
    231840000*s7b*sinf + 225792000*li6half*sinf^2 + 
    112896000*li5half*ln2*sinf^2 - 627200*ln2^6*sinf^2 + 35280000*s6*sinf^2 + 
    112896000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 9251200*ln2^6*z2 - 731808000*s6*z2 - 
    282240000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 + 
    4233600*ln2^5*sinf*z2 - 56448000*li4half*sinf^2*z2 + 
    2352000*ln2^4*sinf^2*z2 + 128217600*li4half*z2^2 - 20764800*ln2^4*z2^2 + 
    10348800*ln2^3*sinf*z2^2 + 18345600*ln2^2*sinf^2*z2^2 - 
    85629600*ln2^2*z2^3 - 89762400*ln2*sinf*z2^3 - 24897600*sinf^2*z2^3 - 
    121083912*z2^4 - 68544000*li5half*z3 - 225792000*li4half*ln2*z3 - 
    18715200*ln2^5*z3 + 366912000*li4half*sinf*z3 - 9408000*ln2^4*sinf*z3 - 
    16464000*ln2^3*sinf^2*z3 + 110712000*ln2^3*z2*z3 - 
    59976000*ln2^2*sinf*z2*z3 - 17640000*ln2*sinf^2*z2*z3 + 
    40912200*ln2*z2^2*z3 - 240937200*sinf*z2^2*z3 - 93964500*ln2^2*z3^2 + 
    78120000*ln2*sinf*z3^2 - 1543500*sinf^2*z3^2 - 756000*z2*z3^2 - 
    9702000*ln2^3*z5 - 193158000*ln2^2*sinf*z5 - 29106000*ln2*sinf^2*z5 + 
    161028000*ln2*z2*z5 - 554904000*sinf*z2*z5 - 218948625*z3*z5 + 
    2304295875*sinf*z7)/56448000, H[1, 1, -1, -1, 0, 1, 0, 0, 1] -> 
  (-33264000*ln2^2*s6 + 20281275*s8a - 390096000*s8b + 66528000*s8c - 
    137088000*s8d - 14112000*ln2*s6*sinf + 14112000*s7a*sinf + 
    14112000*s7b*sinf + 35280000*s6*sinf^2 - 225792000*li6half*z2 - 
    313600*ln2^6*z2 + 168336000*s6*z2 + 112896000*li5half*sinf*z2 - 
    940800*ln2^5*sinf*z2 - 27417600*li4half*z2^2 + 7795200*ln2^4*z2^2 + 
    20697600*ln2^3*sinf*z2^2 + 8467200*ln2^2*sinf^2*z2^2 + 
    21798000*ln2^2*z2^3 + 36691200*ln2*sinf*z2^3 + 8677200*sinf^2*z2^3 + 
    55515144*z2^4 + 76608000*li5half*z3 - 638400*ln2^5*z3 - 
    18312000*ln2^3*z2*z3 - 42336000*ln2^2*sinf*z2*z3 - 
    10584000*ln2*sinf^2*z2*z3 + 22012200*ln2*z2^2*z3 + 7761600*sinf*z2^2*z3 - 
    9355500*ln2^2*z3^2 + 17640000*ln2*sinf*z3^2 - 15214500*sinf^2*z3^2 + 
    23971500*z2*z3^2 - 19698000*ln2^3*z5 - 59094000*ln2^2*sinf*z5 - 
    59094000*ln2*sinf^2*z5 - 81396000*ln2*z2*z5 - 73206000*sinf*z2*z5 - 
    58519125*z3*z5 - 81364500*sinf*z7)/28224000, 
 H[1, 1, -1, -1, 0, 1, 0, -1, 1] -> 
  (-1128960000*li8half - 225792000*li7half*ln2 - 112896000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 + 173600*ln2^8 - 272160000*ln2^2*s6 - 
    12096000*ln2*s7a - 139104000*ln2*s7b + 325595025*s8a + 647640000*s8b + 
    385056000*s8c - 74592000*s8d + 451584000*li7half*sinf - 
    225792000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    537600*ln2^7*sinf - 262080000*ln2*s6*sinf + 78624000*s7a*sinf + 
    8064000*s7b*sinf - 338688000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 + 470400*ln2^6*sinf^2 - 
    127008000*s6*sinf^2 + 620928000*li6half*z2 + 225792000*li5half*ln2*z2 - 
    1960000*ln2^6*z2 + 233856000*s6*z2 + 28224000*li5half*sinf*z2 - 
    3057600*ln2^5*sinf*z2 - 2352000*ln2^4*sinf^2*z2 - 14918400*li4half*z2^2 + 
    17782800*ln2^4*z2^2 + 35750400*ln2^3*sinf*z2^2 + 
    25048800*ln2^2*sinf^2*z2^2 + 112039200*ln2^2*z2^3 + 
    119246400*ln2*sinf*z2^3 + 50248800*sinf^2*z2^3 + 73891224*z2^4 + 
    57456000*li5half*z3 - 478800*ln2^5*z3 + 1848000*ln2^3*z2*z3 - 
    8820000*ln2^2*sinf*z2*z3 - 8820000*ln2*sinf^2*z2*z3 - 
    132312600*ln2*z2^2*z3 - 378000*sinf*z2^2*z3 - 64197000*ln2^2*z3^2 + 
    108423000*ln2*sinf*z3^2 + 49833000*sinf^2*z3^2 - 407200500*z2*z3^2 + 
    132741000*ln2^3*z5 + 97461000*ln2^2*sinf*z5 + 29106000*ln2*sinf^2*z5 - 
    800793000*ln2*z2*z5 + 567000*sinf*z2*z5 + 482761125*z3*z5 - 
    875471625*ln2*z7 - 443110500*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 0, 1, -1, 1, 1] -> 
  (-868224000*li8half + 6720000*li6half*ln2^2 - 1344000*li5half*ln2^3 - 
    1000*ln2^8 + 117936000*ln2^2*s6 - 333326175*s8a - 2026248000*s8b - 
    226464000*s8c - 188832000*s8d + 233856000*li7half*sinf + 
    1344000*li5half*ln2^2*sinf - 57600*ln2^7*sinf - 52128000*ln2*s6*sinf + 
    52128000*s7a*sinf - 68832000*s7b*sinf - 4032000*li6half*sinf^2 + 
    6720000*li5half*ln2*sinf^2 - 61600*ln2^6*sinf^2 - 4032000*s6*sinf^2 - 
    2688000*li6half*z2 - 2688000*li5half*ln2*z2 - 134400*ln2^6*z2 + 
    584640000*s6*z2 - 1344000*li5half*sinf*z2 - 246400*ln2^5*sinf*z2 - 
    364000*ln2^4*sinf^2*z2 - 37766400*li4half*z2^2 + 6123600*ln2^4*z2^2 + 
    10617600*ln2^3*sinf*z2^2 + 2436000*ln2^2*sinf^2*z2^2 - 
    15184800*ln2^2*z2^3 + 14719200*ln2*sinf*z2^3 - 26400*sinf^2*z2^3 + 
    62021352*z2^4 + 370608000*li5half*z3 - 3441200*ln2^5*z3 - 
    882000*ln2^4*sinf*z3 - 588000*ln2^3*sinf^2*z3 + 29204000*ln2^3*z2*z3 + 
    1260000*ln2^2*sinf*z2*z3 + 259539000*ln2*z2^2*z3 + 
    18823200*sinf*z2^2*z3 + 26701500*ln2^2*z3^2 + 65160000*ln2*sinf*z3^2 + 
    1732500*sinf^2*z3^2 + 252315000*z2*z3^2 + 4067000*ln2^3*z5 + 
    122220000*ln2^2*sinf*z5 - 2121000*ln2*sinf^2*z5 + 669312000*ln2*z2*z5 + 
    200934000*sinf*z2*z5 - 324053625*z3*z5 - 541861125*sinf*z7)/2688000, 
 H[1, 1, -1, -1, 0, 1, -1, 0, 1] -> 
  (-48384000*li4half^2 + 967680000*li8half - 8064000*li4half*ln2^4 - 
    228000*ln2^8 - 115920000*ln2^2*s6 + 377135325*s8a + 2268504000*s8b + 
    231840000*s8c + 243936000*s8d - 516096000*li7half*sinf - 
    10752000*li4half*ln2^3*sinf - 345600*ln2^7*sinf + 102528000*ln2*s6*sinf - 
    102528000*s7a*sinf + 183744000*s7b*sinf + 96768000*li6half*sinf^2 - 
    8064000*li4half*ln2^2*sinf^2 - 201600*ln2^6*sinf^2 + 56448000*s6*sinf^2 - 
    245952000*li6half*z2 - 48384000*li5half*ln2*z2 + 
    24192000*li4half*ln2^2*z2 + 1405600*ln2^6*z2 - 848736000*s6*z2 - 
    40320000*li5half*sinf*z2 - 32256000*li4half*ln2*sinf*z2 - 
    470400*ln2^5*sinf*z2 - 8064000*li4half*sinf^2*z2 - 
    336000*ln2^4*sinf^2*z2 + 76204800*li4half*z2^2 - 7249200*ln2^4*z2^2 - 
    14347200*ln2^3*sinf*z2^2 - 10332000*ln2^2*sinf^2*z2^2 + 
    34092000*ln2^2*z2^3 - 25992000*ln2*sinf*z2^3 - 7020000*sinf^2*z2^3 - 
    66253968*z2^4 - 411264000*li5half*z3 - 32256000*li4half*ln2*z3 + 
    2083200*ln2^5*z3 + 48384000*li4half*sinf*z3 + 2016000*ln2^4*sinf*z3 - 
    33852000*ln2^3*z2*z3 - 25200000*ln2^2*sinf*z2*z3 - 
    3276000*ln2*sinf^2*z2*z3 - 263705400*ln2*z2^2*z3 - 
    70945200*sinf*z2^2*z3 - 32602500*ln2^2*z3^2 - 128160000*ln2*sinf*z3^2 - 
    20758500*sinf^2*z3^2 - 228186000*z2*z3^2 - 7623000*ln2^3*z5 - 
    300195000*ln2^2*sinf*z5 - 22869000*ln2*sinf^2*z5 - 585333000*ln2*z2*z5 - 
    479394000*sinf*z2*z5 + 409271625*z3*z5 + 1358653500*sinf*z7)/8064000, 
 H[1, 1, -1, -1, 0, 1, -1, -1, 1] -> 
  (8467200000*li8half - 508032000*li7half*ln2 + 28224000*li6half*ln2^2 + 
    65856000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 786800*ln2^8 - 
    1268064000*ln2^2*s6 - 127008000*ln2*s7a + 183456000*ln2*s7b + 
    3837202425*s8a + 22644216000*s8b + 2634912000*s8c + 2177280000*s8d - 
    2709504000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    84672000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf - 
    1265600*ln2^7*sinf + 852768000*ln2*s6*sinf - 810432000*s7a*sinf + 
    1080576000*s7b*sinf + 254016000*li6half*sinf^2 - 
    28224000*li5half*ln2*sinf^2 - 28224000*li4half*ln2^2*sinf^2 - 
    588000*ln2^6*sinf^2 + 211680000*s6*sinf^2 - 423360000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 9133600*ln2^6*z2 - 
    6993504000*s6*z2 + 28224000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*
     z2 + 14347200*ln2^5*sinf*z2 + 9996000*ln2^4*sinf^2*z2 + 
    441100800*li4half*z2^2 - 107041200*ln2^4*z2^2 - 
    170284800*ln2^3*sinf*z2^2 - 43041600*ln2^2*sinf^2*z2^2 + 
    314244000*ln2^2*z2^3 - 107654400*ln2*sinf*z2^3 - 12902400*sinf^2*z2^3 - 
    583166592*z2^4 - 4375728000*li5half*z3 - 112896000*li4half*ln2*z3 + 
    31760400*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 
    294084000*ln2^3*z2*z3 + 8820000*ln2^2*sinf*z2*z3 - 
    3073278600*ln2*z2^2*z3 - 304491600*sinf*z2^2*z3 - 507906000*ln2^2*z3^2 - 
    1038177000*ln2*sinf*z3^2 - 79380000*sinf^2*z3^2 - 2799090000*z2*z3^2 - 
    445410000*ln2^3*z5 - 2115477000*ln2^2*sinf*z5 - 133182000*ln2*sinf^2*z5 - 
    8036595000*ln2*z2*z5 - 3100104000*sinf*z2*z5 + 4340455875*z3*z5 + 
    1170028125*ln2*z7 + 7494338250*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 0, 0, 1, 1, 1] -> (42336000*li4half^2 - 70560000*li8half - 
    4704000*li5half*ln2^3 + 1764000*li4half*ln2^4 + 37450*ln2^8 + 
    15120000*ln2^2*s6 - 33865650*s8a - 80388000*s8b - 30240000*s8c + 
    12600000*s8d + 56448000*li7half*sinf - 14112000*li5half*ln2^2*sinf - 
    4704000*li4half*ln2^3*sinf - 89600*ln2^7*sinf + 22176000*ln2*s6*sinf - 
    22176000*s7a*sinf - 36288000*s7b*sinf - 21168000*li6half*sinf^2 - 
    14112000*li5half*ln2*sinf^2 - 3528000*li4half*ln2^2*sinf^2 - 
    58800*ln2^6*sinf^2 - 5292000*s6*sinf^2 + 21168000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 3528000*li4half*ln2^2*z2 - 254800*ln2^6*z2 - 
    11088000*s6*z2 + 14112000*li5half*sinf*z2 + 21168000*li4half*ln2*sinf*
     z2 + 999600*ln2^5*sinf*z2 + 7056000*li4half*sinf^2*z2 + 
    441000*ln2^4*sinf^2*z2 + 11692800*li4half*z2^2 + 722400*ln2^4*z2^2 - 
    3880800*ln2^3*sinf*z2^2 - 1587600*ln2^2*sinf^2*z2^2 - 
    3578400*ln2^2*z2^3 - 2142000*ln2*sinf*z2^3 + 1915200*sinf^2*z2^3 - 
    4405104*z2^4 - 14616000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    709800*ln2^5*z3 - 61740000*li4half*sinf*z3 - 2572500*ln2^4*sinf*z3 - 
    1659000*ln2^3*z2*z3 + 21609000*ln2^2*sinf*z2*z3 + 
    3087000*ln2*sinf^2*z2*z3 + 31997700*ln2*z2^2*z3 + 48050100*sinf*z2^2*z3 + 
    10426500*ln2^2*z3^2 - 27720000*ln2*sinf*z3^2 - 882000*sinf^2*z3^2 + 
    18490500*z2*z3^2 + 2866500*ln2^3*z5 + 22270500*ln2^2*sinf*z5 + 
    8599500*ln2*sinf^2*z5 + 73521000*ln2*z2*z5 + 98437500*sinf*z2*z5 - 
    39099375*z3*z5 - 323788500*sinf*z7)/7056000, 
 H[1, 1, -1, -1, 0, 0, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    23856000*ln2^2*s6 + 44381925*s8a + 93240000*s8b + 47712000*s8c - 
    24192000*s8d - 29568000*ln2*s6*sinf + 29568000*s7a*sinf + 
    29568000*s7b*sinf - 11760000*s6*sinf^2 + 56448000*li6half*z2 + 
    78400*ln2^6*z2 + 86016000*s6*z2 - 37632000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 862400*ln2^5*sinf*z2 - 
    4704000*li4half*sinf^2*z2 - 196000*ln2^4*sinf^2*z2 - 
    2956800*li4half*z2^2 - 946400*ln2^4*z2^2 + 156800*ln2^3*sinf*z2^2 - 
    1646400*ln2^2*sinf^2*z2^2 + 6804000*ln2^2*z2^3 + 4804800*ln2*sinf*z2^3 - 
    2004800*sinf^2*z2^3 + 7147608*z2^4 - 8064000*li5half*z3 + 
    67200*ln2^5*z3 + 68208000*li4half*sinf*z3 + 2842000*ln2^4*sinf*z3 - 
    6160000*ln2^3*z2*z3 - 26460000*ln2^2*sinf*z2*z3 - 
    2352000*ln2*sinf^2*z2*z3 - 55309800*ln2*z2^2*z3 - 46662000*sinf*z2^2*z3 - 
    6709500*ln2^2*z3^2 + 36960000*ln2*sinf*z3^2 + 7717500*sinf^2*z3^2 - 
    68124000*z2*z3^2 + 8134000*ln2^3*z5 + 24402000*ln2^2*sinf*z5 + 
    24402000*ln2*sinf^2*z5 - 191940000*ln2*z2*z5 - 88326000*sinf*z2*z5 + 
    104540625*z3*z5 + 288172500*sinf*z7)/9408000, 
 H[1, 1, -1, -1, 0, 0, 1, -1, 1] -> (-8064000*li4half^2 + 16128000*li8half - 
    48384000*li7half*ln2 - 16128000*li6half*ln2^2 + 5376000*li5half*ln2^3 + 
    1344000*li4half*ln2^4 + 12800*ln2^8 + 33264000*ln2^2*s6 - 
    12096000*ln2*s7a + 58464000*ln2*s7b - 107663850*s8a - 570528000*s8b - 
    72576000*s8c - 78624000*s8d - 112896000*li7half*sinf - 
    32256000*li6half*ln2*sinf + 16128000*li5half*ln2^2*sinf + 
    5376000*li4half*ln2^3*sinf + 67200*ln2^7*sinf - 11808000*ln2*s6*sinf - 
    18432000*s7a*sinf + 36000000*s7b*sinf + 8064000*li6half*sinf^2 + 
    16128000*li5half*ln2*sinf^2 + 4032000*li4half*ln2^2*sinf^2 + 
    44800*ln2^6*sinf^2 - 5040000*s6*sinf^2 + 8064000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 8064000*li4half*ln2^2*z2 - 492800*ln2^6*z2 + 
    253008000*s6*z2 - 16128000*li5half*sinf*z2 - 32256000*li4half*ln2*sinf*
     z2 - 1008000*ln2^5*sinf*z2 + 168000*ln2^4*sinf^2*z2 - 
    16934400*li4half*z2^2 + 1134000*ln2^4*z2^2 + 2822400*ln2^3*sinf*z2^2 + 
    957600*ln2^2*sinf^2*z2^2 - 12621600*ln2^2*z2^3 - 3693600*ln2*sinf*z2^3 - 
    3225600*sinf^2*z2^3 + 10382904*z2^4 + 145152000*li5half*z3 + 
    44352000*li4half*ln2*z3 + 1344000*ln2^5*z3 + 18144000*li4half*sinf*z3 + 
    2520000*ln2^4*sinf*z3 + 1176000*ln2^3*sinf^2*z3 - 7224000*ln2^3*z2*z3 - 
    15120000*ln2^2*sinf*z2*z3 - 2772000*ln2*sinf^2*z2*z3 + 
    38732400*ln2*z2^2*z3 - 20404800*sinf*z2^2*z3 + 7812000*ln2^2*z3^2 + 
    2412000*ln2*sinf*z3^2 + 2520000*sinf^2*z3^2 + 69048000*z2*z3^2 - 
    65121000*ln2^3*z5 - 43029000*ln2^2*sinf*z5 + 9702000*ln2*sinf^2*z5 - 
    22113000*ln2*z2*z5 - 117153000*sinf*z2*z5 - 209868750*z3*z5 + 
    389773125*ln2*z7 + 342842625*sinf*z7)/8064000, 
 H[1, 1, -1, -1, 0, 0, 0, 1, 1] -> (2688000*ln2^2*s6 - 14945175*s8a - 
    110880000*s8b - 5376000*s8c - 18144000*s8d - 11760000*ln2*s6*sinf + 
    11760000*s7a*sinf - 28224000*li6half*z2 - 39200*ln2^6*z2 + 
    40992000*s6*z2 + 18816000*li5half*sinf*z2 - 156800*ln2^5*sinf*z2 - 
    4704000*li4half*sinf^2*z2 - 196000*ln2^4*sinf^2*z2 - 
    5510400*li4half*z2^2 + 593600*ln2^4*z2^2 + 2195200*ln2^3*sinf*z2^2 + 
    1646400*ln2^2*sinf^2*z2^2 + 428400*ln2^2*z2^3 + 4704000*ln2*sinf*z2^3 + 
    1610000*sinf^2*z2^3 + 6125932*z2^4 + 22176000*li5half*z3 - 
    184800*ln2^5*z3 + 9408000*li4half*sinf*z3 + 392000*ln2^4*sinf*z3 + 
    1064000*ln2^3*z2*z3 - 4704000*ln2^2*sinf*z2*z3 - 
    2352000*ln2*sinf^2*z2*z3 + 7946400*ln2*z2^2*z3 - 5468400*sinf*z2^2*z3 + 
    756000*ln2^2*z3^2 + 14700000*ln2*sinf*z3^2 + 882000*sinf^2*z3^2 + 
    11382000*z2*z3^2 - 1445500*ln2^3*z5 + 7056000*ln2^2*sinf*z5 - 
    4336500*ln2*sinf^2*z5 + 24801000*ln2*z2*z5 - 17787000*sinf*z2*z5 - 
    17277750*z3*z5 + 14810250*sinf*z7)/4704000, 
 H[1, 1, -1, -1, 0, 0, 0, 0, 1] -> (21105*s8a + 188160*s8b + 40320*s8d + 
    26880*ln2*s6*sinf - 26880*s7a*sinf + 6720*s6*sinf^2 - 120960*s6*z2 + 
    21504*li4half*z2^2 + 896*ln2^4*z2^2 + 672*ln2^2*z2^3 + 
    1344*ln2*sinf*z2^3 + 2208*sinf^2*z2^3 - 13260*z2^4 - 26880*li5half*z3 + 
    224*ln2^5*z3 - 26880*li4half*sinf*z3 - 1120*ln2^4*sinf*z3 - 
    2240*ln2^3*z2*z3 + 6720*ln2^2*sinf*z2*z3 - 1344*ln2*z2^2*z3 + 
    16800*sinf*z2^2*z3 - 33600*ln2*sinf*z3^2 - 5040*sinf^2*z3^2 + 
    10080*z2*z3^2 - 2240*ln2^3*z5 - 32760*ln2^2*sinf*z5 - 
    6720*ln2*sinf^2*z5 + 13440*ln2*z2*z5 + 18060*sinf*z2*z5 - 5355*z3*z5 - 
    79905*sinf*z7)/13440, H[1, 1, -1, -1, 0, 0, 0, -1, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 + 
    6216000*ln2^2*s6 - 2352000*ln2*s7a - 940800*ln2*s7b - 8183175*s8a - 
    45964800*s8b - 5376000*s8c - 6384000*s8d - 201600*ln2*s6*sinf + 
    2553600*s7a*sinf - 1209600*s7b*sinf + 1176000*s6*sinf^2 - 
    2822400*li6half*z2 + 1411200*li4half*ln2^2*z2 + 54880*ln2^6*z2 + 
    15590400*s6*z2 + 1881600*li5half*sinf*z2 - 15680*ln2^5*sinf*z2 - 
    470400*li4half*sinf^2*z2 - 19600*ln2^4*sinf^2*z2 + 1498560*li4half*z2^2 - 
    14000*ln2^4*z2^2 + 266560*ln2^3*sinf*z2^2 + 199920*ln2^2*sinf^2*z2^2 - 
    2976960*ln2^2*z2^3 + 131040*ln2*sinf*z2^3 + 417200*sinf^2*z2^3 + 
    444928*z2^4 + 13944000*li5half*z3 - 4939200*li4half*ln2*z3 - 
    322000*ln2^5*z3 - 235200*li4half*sinf*z3 - 9800*ln2^4*sinf*z3 + 
    2318400*ln2^3*z2*z3 - 176400*ln2^2*sinf*z2*z3 - 235200*ln2*sinf^2*z2*z3 + 
    10604160*ln2*z2^2*z3 + 435960*sinf*z2^2*z3 - 3190950*ln2^2*z3^2 + 
    1178100*ln2*sinf*z3^2 - 360150*sinf^2*z3^2 + 8045100*z2*z3^2 - 
    2293200*ln2^3*z5 + 867300*ln2^2*sinf*z5 - 2778300*ln2*sinf^2*z5 + 
    24404100*ln2*z2*z5 + 4200000*sinf*z2*z5 - 23565675*z3*z5 - 
    9852675*ln2*z7 - 8304975*sinf*z7)/940800, 
 H[1, 1, -1, -1, 0, 0, -1, 1, 1] -> 
  (135475200*li8half - 11289600*li6half*ln2^2 - 3763200*li5half*ln2^3 + 
    2822400*li4half*ln2^4 + 136640*ln2^8 - 70963200*ln2^2*s6 + 
    158520600*s8a + 902160000*s8b + 96768000*s8c + 129024000*s8d - 
    67737600*li7half*sinf + 7526400*li4half*ln2^3*sinf + 327040*ln2^7*sinf + 
    20563200*ln2*s6*sinf - 20563200*s7a*sinf + 30240000*s7b*sinf + 
    45158400*li6half*sinf^2 + 11289600*li5half*ln2*sinf^2 + 
    5644800*li4half*ln2^2*sinf^2 + 203840*ln2^6*sinf^2 + 25401600*s6*sinf^2 - 
    33868800*li6half*z2 - 84672000*li5half*ln2*z2 - 
    22579200*li4half*ln2^2*z2 - 1160320*ln2^6*z2 - 373766400*s6*z2 + 
    11289600*li4half*ln2*sinf*z2 - 1693440*ln2^5*sinf*z2 - 
    5644800*li4half*sinf^2*z2 - 1646400*ln2^4*sinf^2*z2 + 
    26369280*li4half*z2^2 + 3450720*ln2^4*z2^2 + 94080*ln2^3*sinf*z2^2 - 
    1834560*ln2^2*sinf^2*z2^2 + 23758560*ln2^2*z2^3 - 1179360*ln2*sinf*z2^3 - 
    2489760*sinf^2*z2^3 - 26927856*z2^4 - 186076800*li5half*z3 + 
    2538480*ln2^5*z3 + 2822400*li4half*sinf*z3 + 2587200*ln2^4*sinf*z3 + 
    1646400*ln2^3*sinf^2*z3 - 22092000*ln2^3*z2*z3 - 
    5644800*ln2^2*sinf*z2*z3 - 1058400*ln2*sinf^2*z2*z3 - 
    111389040*ln2*z2^2*z3 - 7776720*sinf*z2^2*z3 - 1127700*ln2^2*z3^2 - 
    25704000*ln2*sinf*z3^2 - 9569700*sinf^2*z3^2 - 121350600*z2*z3^2 - 
    29400*ln2^3*z5 - 62974800*ln2^2*sinf*z5 - 27430200*ln2*sinf^2*z5 - 
    197694000*ln2*z2*z5 - 76658400*sinf*z2*z5 + 307581750*z3*z5 + 
    179709075*sinf*z7)/11289600, H[1, 1, -1, -1, 0, 0, -1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 2352000*ln2^2*s6 + 
    5959800*s8a + 34272000*s8b + 4704000*s8c + 2688000*s8d + 
    2016000*ln2*s6*sinf - 2016000*s7a*sinf + 672000*s7b*sinf - 
    1008000*s6*sinf^2 - 12096000*li6half*z2 - 4032000*li5half*ln2*z2 + 
    16800*ln2^6*z2 - 16128000*s6*z2 + 1344000*li5half*sinf*z2 + 
    4032000*li4half*ln2*sinf*z2 + 156800*ln2^5*sinf*z2 + 
    672000*li4half*sinf^2*z2 + 28000*ln2^4*sinf^2*z2 - 2755200*li4half*z2^2 - 
    627200*ln2^4*z2^2 - 1366400*ln2^3*sinf*z2^2 - 520800*ln2^2*sinf^2*z2^2 + 
    2889600*ln2^2*z2^3 - 134400*ln2*sinf*z2^3 - 474400*sinf^2*z2^3 + 
    2819508*z2^4 - 13776000*li5half*z3 + 114800*ln2^5*z3 - 
    336000*li4half*sinf*z3 - 14000*ln2^4*sinf*z3 - 364000*ln2^3*z2*z3 + 
    1428000*ln2^2*sinf*z2*z3 + 336000*ln2*sinf^2*z2*z3 - 
    8631000*ln2*z2^2*z3 - 105000*sinf*z2^2*z3 - 661500*ln2^2*z3^2 - 
    2520000*ln2*sinf*z3^2 + 273000*sinf^2*z3^2 - 2063250*z2*z3^2 + 
    1008000*ln2^3*z5 + 420000*ln2^2*sinf*z5 + 3024000*ln2*sinf^2*z5 - 
    15277500*ln2*z2*z5 - 6079500*sinf*z2*z5 + 15353625*z3*z5 + 
    6473250*sinf*z7)/1344000, H[1, 1, -1, -1, 0, 0, -1, -1, 1] -> 
  (80640000*li7half*ln2 + 40320000*li6half*ln2^2 + 2688000*li5half*ln2^3 - 
    2016000*li4half*ln2^4 - 66400*ln2^8 + 7488000*ln2^2*s6 + 
    26784000*ln2*s7a - 49824000*ln2*s7b + 12543300*s8a + 76608000*s8b + 
    8064000*s8c + 8064000*s8d + 129024000*li7half*sinf + 
    64512000*li6half*ln2*sinf - 5376000*li4half*ln2^3*sinf - 
    160000*ln2^7*sinf + 11520000*ln2*s6*sinf + 32832000*s7a*sinf - 
    47808000*s7b*sinf - 8064000*li5half*ln2*sinf^2 - 
    4032000*li4half*ln2^2*sinf^2 - 100800*ln2^6*sinf^2 - 
    32256000*li6half*z2 + 8064000*li5half*ln2*z2 + 
    12096000*li4half*ln2^2*z2 + 616000*ln2^6*z2 - 46368000*s6*z2 + 
    8064000*li5half*sinf*z2 + 8064000*li4half*ln2*sinf*z2 + 
    806400*ln2^5*sinf*z2 + 336000*ln2^4*sinf^2*z2 + 3628800*li4half*z2^2 - 
    2284800*ln2^4*z2^2 - 3360000*ln2^3*sinf*z2^2 - 
    1512000*ln2^2*sinf^2*z2^2 - 698400*ln2^2*z2^3 - 1785600*ln2*sinf*z2^3 + 
    3293568*z2^4 - 23184000*li5half*z3 - 16128000*li4half*ln2*z3 - 
    478800*ln2^5*z3 - 4032000*li4half*sinf*z3 - 168000*ln2^4*sinf*z3 + 
    2100000*ln2^3*z2*z3 + 1008000*ln2^2*sinf*z2*z3 + 7293600*ln2*z2^2*z3 + 
    15181200*sinf*z2^2*z3 + 22612500*ln2^2*z3^2 + 25290000*ln2*sinf*z3^2 + 
    31500*sinf^2*z3^2 - 1354500*z2*z3^2 + 70329000*ln2^3*z5 + 
    76230000*ln2^2*sinf*z5 + 7875000*ln2*sinf^2*z5 + 118575000*ln2*z2*z5 + 
    135081000*sinf*z2*z5 + 24066000*z3*z5 - 330829875*ln2*z7 - 
    355518000*sinf*z7)/8064000, H[1, 1, -1, -1, 0, -1, 1, 1, 1] -> 
  (508032000*li4half^2 + 9313920000*li8half - 28224000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 172200*ln2^8 - 786240000*ln2^2*s6 + 
    2405799900*s8a + 17163216000*s8b + 1572480000*s8c + 1729728000*s8d - 
    2822400000*li7half*sinf - 112896000*li5half*ln2^2*sinf - 
    47040000*li4half*ln2^3*sinf - 459200*ln2^7*sinf + 788256000*ln2*s6*sinf - 
    788256000*s7a*sinf + 453600000*s7b*sinf + 84672000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 - 14112000*li4half*ln2^2*sinf^2 + 
    470400*ln2^6*sinf^2 + 63504000*s6*sinf^2 - 84672000*li6half*z2 + 
    197568000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 5174064000*s6*z2 + 
    112896000*li5half*sinf*z2 + 197568000*li4half*ln2*sinf*z2 + 
    11995200*ln2^5*sinf*z2 + 42336000*li4half*sinf^2*z2 + 
    4704000*ln2^4*sinf^2*z2 + 297964800*li4half*z2^2 - 55087200*ln2^4*z2^2 - 
    127243200*ln2^3*sinf*z2^2 - 39160800*ln2^2*sinf^2*z2^2 - 
    40118400*ln2^2*z2^3 - 285314400*ln2*sinf*z2^3 - 8719200*sinf^2*z2^3 - 
    626336496*z2^4 - 3607632000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    34767600*ln2^5*z3 - 430416000*li4half*sinf*z3 - 17934000*ln2^4*sinf*z3 - 
    249480000*ln2^3*z2*z3 + 186984000*ln2^2*sinf*z2*z3 + 
    37044000*ln2*sinf^2*z2*z3 - 1867269600*ln2*z2^2*z3 + 
    220273200*sinf*z2^2*z3 - 147042000*ln2^2*z3^2 - 985320000*ln2*sinf*z3^2 - 
    60858000*sinf^2*z3^2 - 1846152000*z2*z3^2 + 17052000*ln2^3*z5 - 
    1165563000*ln2^2*sinf*z5 + 37485000*ln2*sinf^2*z5 - 
    4806081000*ln2*z2*z5 - 1408743000*sinf*z2*z5 + 1639795500*z3*z5 + 
    3793064625*sinf*z7)/56448000, H[1, 1, -1, -1, 0, -1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 1128960000*li8half + 2352000*li4half*ln2^4 + 
    119000*ln2^8 + 109200000*ln2^2*s6 - 358169700*s8a - 2484720000*s8b - 
    218400000*s8c - 294336000*s8d + 602112000*li7half*sinf + 
    12544000*li4half*ln2^3*sinf + 403200*ln2^7*sinf - 153216000*ln2*s6*sinf + 
    153216000*s7a*sinf - 152544000*s7b*sinf - 112896000*li6half*sinf^2 + 
    9408000*li4half*ln2^2*sinf^2 + 235200*ln2^6*sinf^2 - 58800000*s6*sinf^2 + 
    310464000*li6half*z2 + 4704000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 1470000*ln2^6*z2 + 983808000*s6*z2 - 
    18816000*li4half*ln2*sinf*z2 - 1411200*ln2^5*sinf*z2 + 
    2352000*li4half*sinf^2*z2 + 98000*ln2^4*sinf^2*z2 - 
    57691200*li4half*z2^2 + 11424000*ln2^4*z2^2 + 25362400*ln2^3*sinf*z2^2 + 
    12642000*ln2^2*sinf^2*z2^2 - 43486800*ln2^2*z2^3 + 
    46132800*ln2*sinf*z2^3 + 10189200*sinf^2*z2^3 + 61425108*z2^4 + 
    579264000*li5half*z3 + 37632000*li4half*ln2*z3 - 3259200*ln2^5*z3 + 
    17640000*li4half*sinf*z3 + 735000*ln2^4*sinf*z3 + 29946000*ln2^3*z2*z3 - 
    19698000*ln2^2*sinf*z2*z3 - 3822000*ln2*sinf^2*z2*z3 + 
    283176600*ln2*z2^2*z3 + 17808000*sinf*z2^2*z3 + 30712500*ln2^2*z3^2 + 
    191520000*ln2*sinf*z3^2 + 27930000*sinf^2*z3^2 + 192906000*z2*z3^2 + 
    6296500*ln2^3*z5 + 315094500*ln2^2*sinf*z5 + 18889500*ln2*sinf^2*z5 + 
    619699500*ln2*z2*z5 + 413185500*sinf*z2*z5 - 393001875*z3*z5 - 
    1144381875*sinf*z7)/9408000, H[1, 1, -1, -1, 0, -1, 1, -1, 1] -> 
  (-19305216000*li8half - 620928000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    65856000*li5half*ln2^3 + 42336000*li4half*ln2^4 + 1094800*ln2^8 + 
    2736720000*ln2^2*s6 - 86688000*ln2*s7a + 449568000*ln2*s7b - 
    7409559150*s8a - 45494064000*s8b - 5173056000*s8c - 4154976000*s8d + 
    4910976000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    225792000*li5half*ln2^2*sinf + 84672000*li4half*ln2^3*sinf + 
    1142400*ln2^7*sinf - 895104000*ln2*s6*sinf + 1022112000*s7a*sinf - 
    1320480000*s7b*sinf + 84672000*li6half*sinf^2 + 
    225792000*li5half*ln2*sinf^2 + 42336000*li4half*ln2^2*sinf^2 - 
    21168000*s6*sinf^2 - 254016000*li6half*z2 - 423360000*li5half*ln2*z2 - 
    254016000*li4half*ln2^2*z2 - 15797600*ln2^6*z2 + 12931632000*s6*z2 - 
    225792000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    22344000*ln2^5*sinf*z2 - 14700000*ln2^4*sinf^2*z2 - 
    877564800*li4half*z2^2 + 153476400*ln2^4*z2^2 + 
    225792000*ln2^3*sinf*z2^2 + 33868800*ln2^2*sinf^2*z2^2 - 
    360511200*ln2^2*z2^3 + 268480800*ln2*sinf*z2^3 - 27417600*sinf^2*z2^3 + 
    1309340016*z2^4 + 8690976000*li5half*z3 + 508032000*li4half*ln2*z3 - 
    43848000*ln2^5*z3 + 63504000*li4half*sinf*z3 + 21168000*ln2^4*sinf*z3 + 
    12348000*ln2^3*sinf^2*z3 + 426132000*ln2^3*z2*z3 - 
    137592000*ln2^2*sinf*z2*z3 - 37044000*ln2*sinf^2*z2*z3 + 
    5540522400*ln2*z2^2*z3 + 320014800*sinf*z2^2*z3 + 674005500*ln2^2*z3^2 + 
    1387449000*ln2*sinf*z3^2 + 17199000*sinf^2*z3^2 + 5573893500*z2*z3^2 - 
    527436000*ln2^3*z5 + 2259243000*ln2^2*sinf*z5 - 10143000*ln2*sinf^2*z5 + 
    14215761000*ln2*z2*z5 + 3962259000*sinf*z2*z5 - 7029382500*z3*z5 + 
    3511108125*ln2*z7 - 10585803375*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 0, -1, 0, 1, 1] -> 
  (-296352000*li4half^2 + 451584000*li8half + 18816000*li5half*ln2^3 - 
    24696000*li4half*ln2^4 - 660100*ln2^8 - 1008000*ln2^2*s6 + 40998825*s8a + 
    509040000*s8b + 2016000*s8c + 89712000*s8d - 338688000*li7half*sinf + 
    56448000*li5half*ln2^2*sinf - 403200*ln2^7*sinf - 158256000*ln2*s6*sinf + 
    158256000*s7a*sinf + 221760000*s7b*sinf + 112896000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 - 313600*ln2^6*sinf^2 + 17640000*s6*sinf^2 + 
    197568000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    77616000*li4half*ln2^2*z2 + 5468400*ln2^6*z2 - 122976000*s6*z2 - 
    169344000*li5half*sinf*z2 - 141120000*li4half*ln2*sinf*z2 - 
    1176000*ln2^5*sinf*z2 - 70560000*li4half*sinf^2*z2 - 
    588000*ln2^4*sinf^2*z2 + 53928000*li4half*z2^2 - 9542400*ln2^4*z2^2 + 
    21873600*ln2^3*sinf*z2^2 + 18169200*ln2^2*sinf^2*z2^2 - 
    52995600*ln2^2*z2^3 - 11894400*ln2*sinf*z2^3 + 529200*sinf^2*z2^3 - 
    75739968*z2^4 + 127512000*li5half*z3 - 112896000*li4half*ln2*z3 - 
    10705800*ln2^5*z3 + 405720000*li4half*sinf*z3 + 4557000*ln2^4*sinf*z3 - 
    8232000*ln2^3*sinf^2*z3 + 58254000*ln2^3*z2*z3 - 
    117306000*ln2^2*sinf*z2*z3 - 40572000*ln2*sinf^2*z2*z3 - 
    5493600*ln2*z2^2*z3 - 260442000*sinf*z2^2*z3 - 49675500*ln2^2*z3^2 + 
    197820000*ln2*sinf*z3^2 + 9150750*sinf^2*z3^2 - 69095250*z2*z3^2 - 
    6541500*ln2^3*z5 - 81144000*ln2^2*sinf*z5 - 19624500*ln2*sinf^2*z5 + 
    46872000*ln2*z2*z5 - 602910000*sinf*z2*z5 - 36091125*z3*z5 + 
    1987980750*sinf*z7)/28224000, H[1, 1, -1, -1, 0, -1, 0, 0, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 - 
    25200000*ln2^2*s6 + 30603825*s8a + 4032000*s8b + 50400000*s8c - 
    43344000*s8d + 40320000*ln2*s6*sinf - 40320000*s7a*sinf - 
    12096000*s7b*sinf + 24696000*s6*sinf^2 - 112896000*li6half*z2 - 
    21168000*li4half*ln2^2*z2 - 1038800*ln2^6*z2 - 8568000*s6*z2 + 
    56448000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 - 12902400*li4half*z2^2 + 
    6312600*ln2^4*z2^2 + 9643200*ln2^3*sinf*z2^2 + 
    3704400*ln2^2*sinf^2*z2^2 + 14616000*ln2^2*z2^3 + 
    17085600*ln2*sinf*z2^3 + 7644000*sinf^2*z2^3 + 30427392*z2^4 - 
    15624000*li5half*z3 + 130200*ln2^5*z3 - 74088000*li4half*sinf*z3 - 
    3087000*ln2^4*sinf*z3 - 17766000*ln2^3*z2*z3 - 9702000*ln2^2*sinf*z2*z3 - 
    7056000*ln2*sinf^2*z2*z3 - 2658600*ln2*z2^2*z3 + 54016200*sinf*z2^2*z3 - 
    7087500*ln2^2*z3^2 - 50400000*ln2*sinf*z3^2 - 15986250*sinf^2*z3^2 + 
    25483500*z2*z3^2 - 12936000*ln2^3*z5 - 66150000*ln2^2*sinf*z5 - 
    38808000*ln2*sinf^2*z5 - 73584000*ln2*z2*z5 + 57361500*sinf*z2*z5 - 
    78765750*z3*z5 - 300958875*sinf*z7)/14112000, 
 H[1, 1, -1, -1, 0, -1, 0, -1, 1] -> 
  (-423360000*li4half^2 - 1128960000*li8half - 225792000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    35280000*li4half*ln2^4 - 561400*ln2^8 + 298368000*ln2^2*s6 - 
    296352000*ln2*s7a - 239904000*ln2*s7b - 316808100*s8a - 3163104000*s8b + 
    24192000*s8c - 715680000*s8d + 451584000*li7half*sinf - 
    225792000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    537600*ln2^7*sinf - 334656000*ln2*s6*sinf + 362880000*s7a*sinf + 
    66528000*s7b*sinf - 338688000*li6half*sinf^2 - 
    112896000*li5half*ln2*sinf^2 + 470400*ln2^6*sinf^2 - 21168000*s6*sinf^2 + 
    762048000*li6half*z2 + 254016000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 5056800*ln2^6*z2 + 1904112000*s6*z2 - 
    84672000*li4half*ln2*sinf*z2 - 6350400*ln2^5*sinf*z2 - 
    42336000*li4half*sinf^2*z2 - 4116000*ln2^4*sinf^2*z2 + 
    174384000*li4half*z2^2 + 8148000*ln2^4*z2^2 + 51744000*ln2^3*sinf*z2^2 + 
    33516000*ln2^2*sinf^2*z2^2 - 196156800*ln2^2*z2^3 + 
    142178400*ln2*sinf*z2^3 + 86284800*sinf^2*z2^3 + 113176944*z2^4 + 
    1360800000*li5half*z3 - 592704000*li4half*ln2*z3 - 36036000*ln2^5*z3 + 
    148176000*li4half*sinf*z3 + 6174000*ln2^4*sinf*z3 + 
    248052000*ln2^3*z2*z3 - 77616000*ln2^2*sinf*z2*z3 - 
    40572000*ln2*sinf^2*z2*z3 + 795438000*ln2*z2^2*z3 - 
    73810800*sinf*z2^2*z3 - 491809500*ln2^2*z3^2 + 217665000*ln2*sinf*z3^2 + 
    18081000*sinf^2*z3^2 + 172147500*z2*z3^2 - 114513000*ln2^3*z5 + 
    107604000*ln2^2*sinf*z5 - 179487000*ln2*sinf^2*z5 + 
    1003023000*ln2*z2*z5 + 24192000*sinf*z2*z5 - 1721805750*z3*z5 - 
    1989626625*ln2*z7 - 139899375*sinf*z7)/56448000, 
 H[1, 1, -1, -1, 0, -1, -1, 1, 1] -> 
  (-254016000*li4half^2 + 4515840000*li8half - 42336000*li6half*ln2^2 + 
    61152000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 278600*ln2^8 - 
    442512000*ln2^2*s6 + 1196450325*s8a + 8408736000*s8b + 800352000*s8c + 
    836640000*s8d - 1185408000*li7half*sinf + 112896000*li5half*ln2^2*sinf + 
    61152000*li4half*ln2^3*sinf + 1842400*ln2^7*sinf + 36288000*ln2*s6*sinf - 
    36288000*s7a*sinf + 231840000*s7b*sinf + 28224000*li5half*ln2*sinf^2 + 
    35280000*li4half*ln2^2*sinf^2 + 1234800*ln2^6*sinf^2 - 
    52920000*s6*sinf^2 + 42336000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1391600*ln2^6*z2 - 2396520000*s6*z2 - 
    112896000*li5half*sinf*z2 - 155232000*li4half*ln2*sinf*z2 - 
    9290400*ln2^5*sinf*z2 - 42336000*li4half*sinf^2*z2 - 
    2940000*ln2^4*sinf^2*z2 + 221659200*li4half*z2^2 - 7816200*ln2^4*z2^2 + 
    8232000*ln2^3*sinf*z2^2 + 15699600*ln2^2*sinf^2*z2^2 - 
    59371200*ln2^2*z2^3 - 108914400*ln2*sinf*z2^3 + 5644800*sinf^2*z2^3 - 
    313150608*z2^4 - 1324008000*li5half*z3 - 28224000*li4half*ln2*z3 + 
    9857400*ln2^5*z3 + 282240000*li4half*sinf*z3 + 11760000*ln2^4*sinf*z3 - 
    82110000*ln2^3*z2*z3 - 67914000*ln2^2*sinf*z2*z3 - 
    900030600*ln2*z2^2*z3 - 171435600*sinf*z2^2*z3 - 115195500*ln2^2*z3^2 - 
    45360000*ln2*sinf*z3^2 + 19845000*sinf^2*z3^2 - 939172500*z2*z3^2 - 
    17640000*ln2^3*z5 - 285327000*ln2^2*sinf*z5 - 5071500*ln2*sinf^2*z5 - 
    2349900000*ln2*z2*z5 - 663831000*sinf*z2*z5 + 709592625*z3*z5 + 
    2517960375*sinf*z7)/28224000, H[1, 1, -1, -1, 0, -1, -1, 0, 1] -> 
  (70560000*li4half^2 + 5880000*li4half*ln2^4 + 122500*ln2^8 - 
    41328000*ln2^2*s6 + 100220400*s8a + 277704000*s8b + 82656000*s8c - 
    14448000*s8d + 35616000*ln2*s6*sinf - 35616000*s7a*sinf + 
    16128000*s7b*sinf + 17640000*s6*sinf^2 - 14112000*li6half*z2 + 
    79968000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 98000*ln2^6*z2 - 
    72240000*s6*z2 + 84672000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*
     z2 + 1646400*ln2^5*sinf*z2 + 7056000*li4half*sinf^2*z2 + 
    294000*ln2^4*sinf^2*z2 - 45225600*li4half*z2^2 - 3011400*ln2^4*z2^2 - 
    7448000*ln2^3*sinf*z2^2 - 2058000*ln2^2*sinf^2*z2^2 + 
    36800400*ln2^2*z2^3 + 17085600*ln2*sinf*z2^3 + 940800*sinf^2*z2^3 + 
    11343804*z2^4 - 118104000*li5half*z3 + 984200*ln2^5*z3 - 
    49392000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 - 10528000*ln2^3*z2*z3 + 
    11172000*ln2^2*sinf*z2*z3 - 294000*ln2*sinf^2*z2*z3 - 
    90850200*ln2*z2^2*z3 + 13679400*sinf*z2^2*z3 - 11623500*ln2^2*z3^2 - 
    44520000*ln2*sinf*z3^2 - 6578250*sinf^2*z3^2 - 51812250*z2*z3^2 - 
    7056000*ln2^3*z5 - 71295000*ln2^2*sinf*z5 - 21168000*ln2*sinf^2*z5 - 
    228417000*ln2*z2*z5 - 91108500*sinf*z2*z5 + 176200500*z3*z5 - 
    13390125*sinf*z7)/9408000, H[1, 1, -1, -1, 0, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 + 508032000*li8half + 282240000*li7half*ln2 - 
    197568000*li6half*ln2^2 - 159936000*li5half*ln2^3 - 
    49392000*li4half*ln2^4 - 896000*ln2^8 - 74592000*ln2^2*s6 + 
    8064000*ln2*s7a - 344736000*ln2*s7b + 360662400*s8a + 1153152000*s8b + 
    302400000*s8c - 76608000*s8d - 56448000*li7half*sinf - 
    564480000*li6half*ln2*sinf - 338688000*li5half*ln2^2*sinf - 
    84672000*li4half*ln2^3*sinf - 1478400*ln2^7*sinf - 76608000*ln2*s6*sinf + 
    76608000*s7a*sinf - 78624000*s7b*sinf - 282240000*li6half*sinf^2 - 
    169344000*li5half*ln2*sinf^2 - 42336000*li4half*ln2^2*sinf^2 - 
    744800*ln2^6*sinf^2 + 564480000*li6half*z2 + 508032000*li5half*ln2*z2 + 
    211680000*li4half*ln2^2*z2 + 7565600*ln2^6*z2 + 40320000*s6*z2 + 
    169344000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    6585600*ln2^5*sinf*z2 + 2352000*ln2^4*sinf^2*z2 + 60883200*li4half*z2^2 - 
    11692800*ln2^4*z2^2 + 470400*ln2^3*sinf*z2^2 + 
    5644800*ln2^2*sinf^2*z2^2 + 4687200*ln2^2*z2^3 + 
    100749600*ln2*sinf*z2^3 + 64512000*sinf^2*z2^3 - 92542536*z2^4 - 
    185472000*li5half*z3 - 338688000*li4half*ln2*z3 - 15036000*ln2^5*z3 - 
    21168000*li4half*sinf*z3 - 7056000*ln2^4*sinf*z3 - 
    4116000*ln2^3*sinf^2*z3 + 85680000*ln2^3*z2*z3 + 
    17640000*ln2^2*sinf*z2*z3 - 2746800*ln2*z2^2*z3 + 31953600*sinf*z2^2*z3 - 
    65740500*ln2^2*z3^2 + 67977000*ln2*sinf*z3^2 - 236281500*z2*z3^2 + 
    336042000*ln2^3*z5 + 78498000*ln2^2*sinf*z5 - 112896000*ln2*sinf^2*z5 + 
    301266000*ln2*z2*z5 + 348705000*sinf*z2*z5 + 53849250*z3*z5 - 
    2510573625*ln2*z7 - 776309625*sinf*z7)/56448000, 
 H[1, 1, -1, -1, -1, 1, 1, 1, 1] -> 
  (-508032000*li8half + 9408000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    173600*ln2^8 + 224784000*ln2^2*s6 - 573005475*s8a - 2528568000*s8b - 
    449568000*s8c - 58464000*s8d + 169344000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    448000*ln2^7*sinf - 10080000*ln2*s6*sinf + 10080000*s7a*sinf - 
    159264000*s7b*sinf + 28224000*li5half*ln2*sinf^2 + 
    14112000*li4half*ln2^2*sinf^2 + 313600*ln2^6*sinf^2 - 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 + 
    370944000*s6*z2 - 28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 - 2352000*ln2^5*sinf*z2 - 1176000*ln2^4*sinf^2*z2 - 
    14515200*li4half*z2^2 + 14800800*ln2^4*z2^2 + 19756800*ln2^3*sinf*z2^2 + 
    5644800*ln2^2*sinf^2*z2^2 - 47628000*ln2^2*z2^3 + 8618400*ln2*sinf*z2^3 + 
    4636800*sinf^2*z2^3 + 1801944*z2^4 + 166320000*li5half*z3 + 
    56448000*li4half*ln2*z3 - 1386000*ln2^5*z3 + 7056000*li4half*sinf*z3 - 
    2058000*ln2^4*sinf*z3 + 32676000*ln2^3*z2*z3 + 
    40572000*ln2^2*sinf*z2*z3 + 14112000*ln2*sinf^2*z2*z3 + 
    484633800*ln2*z2^2*z3 + 134870400*sinf*z2^2*z3 + 91444500*ln2^2*z3^2 + 
    12600000*ln2*sinf*z3^2 - 14112000*sinf^2*z3^2 + 400900500*z2*z3^2 - 
    18522000*ln2^3*z5 + 108486000*ln2^2*sinf*z5 - 55566000*ln2*sinf^2*z5 + 
    1459836000*ln2*z2*z5 + 528696000*sinf*z2*z5 - 533649375*z3*z5 - 
    1356618375*sinf*z7)/56448000, H[1, 1, -1, -1, -1, 1, 1, 0, 1] -> 
  (508032000*li8half + 47040000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 
    208600*ln2^8 - 224784000*ln2^2*s6 + 573005475*s8a + 2528568000*s8b + 
    449568000*s8c + 58464000*s8d - 677376000*li7half*sinf + 
    141120000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    526400*ln2^7*sinf + 118944000*ln2*s6*sinf - 118944000*s7a*sinf + 
    304416000*s7b*sinf + 254016000*li6half*sinf^2 + 
    141120000*li5half*ln2*sinf^2 + 28224000*li4half*ln2^2*sinf^2 + 
    352800*ln2^6*sinf^2 + 127008000*s6*sinf^2 - 423360000*li6half*z2 - 
    282240000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 2704800*ln2^6*z2 - 
    667296000*s6*z2 - 84672000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 3763200*ln2^5*sinf*z2 - 1176000*ln2^4*sinf^2*z2 + 
    6048000*li4half*z2^2 + 9542400*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 - 
    5644800*ln2^2*sinf^2*z2^2 + 51861600*ln2^2*z2^3 - 
    53978400*ln2*sinf*z2^3 - 35784000*sinf^2*z2^3 + 56772936*z2^4 + 
    73584000*li5half*z3 + 112896000*li4half*ln2*z3 + 4443600*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 + 
    588000*ln2^3*sinf^2*z3 - 81480000*ln2^3*z2*z3 - 
    68796000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 - 
    377029800*ln2*z2^2*z3 - 158961600*sinf*z2^2*z3 - 56164500*ln2^2*z3^2 - 
    141624000*ln2*sinf*z3^2 - 33736500*sinf^2*z3^2 - 391419000*z2*z3^2 - 
    36162000*ln2^3*z5 - 518616000*ln2^2*sinf*z5 - 108486000*ln2*sinf^2*z5 - 
    1131732000*ln2*z2*z5 - 910098000*sinf*z2*z5 + 357690375*z3*z5 + 
    2565777375*sinf*z7)/56448000, H[1, 1, -1, -1, -1, 1, 1, -1, 1] -> 
  (80640000*li8half + 6200*ln2^8 - 27216000*ln2^2*s6 + 65817675*s8a + 
    318024000*s8b + 54432000*s8c + 16128000*s8d - 32256000*li7half*sinf + 
    16000*ln2^7*sinf + 9216000*ln2*s6*sinf - 9216000*s7a*sinf + 
    12960000*s7b*sinf + 4032000*li6half*sinf^2 + 11200*ln2^6*sinf^2 - 
    1008000*s6*sinf^2 - 4032000*li6half*z2 - 100800*ln2^6*z2 - 
    66528000*s6*z2 - 168000*ln2^5*sinf*z2 - 84000*ln2^4*sinf^2*z2 + 
    3225600*li4half*z2^2 - 1142400*ln2^4*z2^2 - 2150400*ln2^3*sinf*z2^2 - 
    806400*ln2^2*sinf^2*z2^2 + 5714400*ln2^2*z2^3 - 4231200*ln2*sinf*z2^3 - 
    1305600*sinf^2*z2^3 - 789432*z2^4 - 32256000*li5half*z3 + 
    957600*ln2^5*z3 + 1218000*ln2^4*sinf*z3 + 588000*ln2^3*sinf^2*z3 - 
    9744000*ln2^3*z2*z3 - 7812000*ln2^2*sinf*z2*z3 - 
    2016000*ln2*sinf^2*z2*z3 - 60165000*ln2*z2^2*z3 - 6523200*sinf*z2^2*z3 - 
    2614500*ln2^2*z3^2 - 432000*ln2*sinf*z3^2 + 882000*sinf^2*z3^2 - 
    58936500*z2*z3^2 + 3297000*ln2^3*z5 - 11592000*ln2^2*sinf*z5 + 
    9891000*ln2*sinf^2*z5 - 183078000*ln2*z2*z5 - 48654000*sinf*z2*z5 + 
    75718125*z3*z5 + 61488000*ln2*z7 + 119284875*sinf*z7)/8064000, 
 H[1, 1, -1, -1, -1, 1, 0, 1, 1] -> 
  (84672000*li4half^2 - 1185408000*li8half - 56448000*li5half*ln2^3 - 
    28224000*li4half*ln2^4 - 882000*ln2^8 + 11088000*ln2^2*s6 - 
    255910725*s8a - 1771560000*s8b - 22176000*s8c - 358848000*s8d + 
    620928000*li7half*sinf - 169344000*li5half*ln2^2*sinf - 
    94080000*li4half*ln2^3*sinf - 2632000*ln2^7*sinf - 
    179424000*ln2*s6*sinf + 179424000*s7a*sinf - 102816000*s7b*sinf - 
    197568000*li6half*sinf^2 - 169344000*li5half*ln2*sinf^2 - 
    70560000*li4half*ln2^2*sinf^2 - 1803200*ln2^6*sinf^2 - 
    112896000*s6*sinf^2 + 28224000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    183456000*li4half*ln2^2*z2 + 9016000*ln2^6*z2 + 851760000*s6*z2 + 
    282240000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    14817600*ln2^5*sinf*z2 - 14112000*li4half*sinf^2*z2 + 
    5880000*ln2^4*sinf^2*z2 - 114105600*li4half*z2^2 - 24158400*ln2^4*z2^2 - 
    14112000*ln2^3*sinf*z2^2 + 2469600*ln2^2*sinf^2*z2^2 + 
    52063200*ln2^2*z2^3 + 78573600*ln2*sinf*z2^3 + 22629600*sinf^2*z2^3 + 
    199462464*z2^4 + 195552000*li5half*z3 - 225792000*li4half*ln2*z3 - 
    19152000*ln2^5*z3 - 14112000*li4half*sinf*z3 - 20874000*ln2^4*sinf*z3 - 
    13524000*ln2^3*sinf^2*z3 + 90384000*ln2^3*z2*z3 - 
    8820000*ln2^2*sinf*z2*z3 - 24696000*ln2*sinf^2*z2*z3 + 
    84508200*ln2*z2^2*z3 + 2570400*sinf*z2^2*z3 - 85081500*ln2^2*z3^2 + 
    210168000*ln2*sinf*z3^2 + 54684000*sinf^2*z3^2 + 131953500*z2*z3^2 + 
    71736000*ln2^3*z5 + 488628000*ln2^2*sinf*z5 + 215208000*ln2*sinf^2*z5 - 
    363888000*ln2*z2*z5 - 121338000*sinf*z2*z5 - 162406125*z3*z5 - 
    651238875*sinf*z7)/56448000, H[1, 1, -1, -1, -1, 1, 0, 0, 1] -> 
  (-36288000*li4half^2 + 145152000*li8half - 2688000*li5half*ln2^3 - 
    5040000*li4half*ln2^4 - 121000*ln2^8 - 17136000*ln2^2*s6 + 54776925*s8a + 
    295848000*s8b + 34272000*s8c + 38304000*s8d - 48384000*li7half*sinf - 
    8064000*li5half*ln2^2*sinf - 5376000*li4half*ln2^3*sinf - 
    147200*ln2^7*sinf + 2016000*ln2*s6*sinf - 2016000*s7a*sinf + 
    34272000*s7b*sinf - 8064000*li5half*ln2*sinf^2 - 
    4032000*li4half*ln2^2*sinf^2 - 100800*ln2^6*sinf^2 + 6048000*s6*sinf^2 + 
    24192000*li6half*z2 + 16128000*li5half*ln2*z2 + 
    12096000*li4half*ln2^2*z2 + 582400*ln2^6*z2 - 94752000*s6*z2 - 
    24192000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    504000*ln2^5*sinf*z2 - 6048000*li4half*sinf^2*z2 + 
    84000*ln2^4*sinf^2*z2 + 28627200*li4half*z2^2 - 470400*ln2^4*z2^2 + 
    1747200*ln2^3*sinf*z2^2 + 4370400*ln2^2*z2^3 + 7869600*ln2*sinf*z2^3 + 
    4017600*sinf^2*z2^3 - 22367592*z2^4 - 42336000*li5half*z3 - 
    16128000*li4half*ln2*z3 - 621600*ln2^5*z3 + 29232000*li4half*sinf*z3 + 
    462000*ln2^4*sinf*z3 - 504000*ln2^3*sinf^2*z3 - 5124000*ln2^3*z2*z3 - 
    18900000*ln2^2*sinf*z2*z3 - 3276000*ln2*sinf^2*z2*z3 - 
    20071800*ln2*z2^2*z3 - 13608000*sinf*z2^2*z3 - 10867500*ln2^2*z3^2 - 
    8568000*ln2*sinf*z3^2 - 3181500*sinf^2*z3^2 - 40572000*z2*z3^2 - 
    2520000*ln2^3*z5 - 42714000*ln2^2*sinf*z5 - 7560000*ln2*sinf^2*z5 - 
    87696000*ln2*z2*z5 - 54936000*sinf*z2*z5 + 37603125*z3*z5 + 
    165335625*sinf*z7)/8064000, H[1, 1, -1, -1, -1, 1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 1128960000*li8half - 56448000*li7half*ln2 + 
    84672000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    23520000*li4half*ln2^4 - 673400*ln2^8 - 152208000*ln2^2*s6 - 
    54432000*ln2*s7a - 68544000*ln2*s7b + 325595025*s8a + 647640000*s8b + 
    385056000*s8c - 74592000*s8d + 225792000*li7half*sinf + 
    169344000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf - 
    56448000*li4half*ln2^3*sinf - 1691200*ln2^7*sinf + 12096000*ln2*s6*sinf - 
    40320000*s7a*sinf + 368928000*s7b*sinf + 56448000*li6half*sinf^2 - 
    56448000*li5half*ln2*sinf^2 - 42336000*li4half*ln2^2*sinf^2 - 
    1215200*ln2^6*sinf^2 + 134064000*s6*sinf^2 - 225792000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 141120000*li4half*ln2^2*z2 + 
    6742400*ln2^6*z2 - 210672000*s6*z2 + 112896000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 8467200*ln2^5*sinf*z2 - 
    14112000*li4half*sinf^2*z2 + 3528000*ln2^4*sinf^2*z2 + 
    14716800*li4half*z2^2 - 20731200*ln2^4*z2^2 - 31516800*ln2^3*sinf*z2^2 - 
    13406400*ln2^2*sinf^2*z2^2 + 180936000*ln2^2*z2^3 + 
    162943200*ln2*sinf*z2^3 + 20160000*sinf^2*z2^3 + 180479664*z2^4 - 
    20160000*li5half*z3 - 218736000*li4half*ln2*z3 - 10710000*ln2^5*z3 + 
    14112000*li4half*sinf*z3 - 3822000*ln2^4*sinf*z3 - 
    2940000*ln2^3*sinf^2*z3 + 46536000*ln2^3*z2*z3 - 
    21168000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 - 
    108322200*ln2*z2^2*z3 - 102009600*sinf*z2^2*z3 - 221634000*ln2^2*z3^2 - 
    214011000*ln2*sinf*z3^2 - 47187000*sinf^2*z3^2 - 197284500*z2*z3^2 - 
    35280000*ln2^3*z5 - 543312000*ln2^2*sinf*z5 - 146853000*ln2*sinf^2*z5 - 
    659673000*ln2*z2*z5 - 1058148000*sinf*z2*z5 + 374385375*z3*z5 - 
    952040250*ln2*z7 + 1425666375*sinf*z7)/56448000, 
 H[1, 1, -1, -1, -1, 1, -1, 1, 1] -> 
  (248371200*li8half + 5644800*li5half*ln2^3 - 35000*ln2^8 - 
    33264000*ln2^2*s6 + 74325825*s8a + 618206400*s8b + 66528000*s8c + 
    49190400*s8d - 146764800*li7half*sinf + 16934400*li5half*ln2^2*sinf - 
    98560*ln2^7*sinf + 23788800*ln2*s6*sinf - 23788800*s7a*sinf + 
    29836800*s7b*sinf + 39513600*li6half*sinf^2 + 
    16934400*li5half*ln2*sinf^2 - 78400*ln2^6*sinf^2 + 12700800*s6*sinf^2 - 
    39513600*li6half*z2 - 33868800*li5half*ln2*z2 + 470400*ln2^6*z2 - 
    168940800*s6*z2 - 16934400*li5half*sinf*z2 + 893760*ln2^5*sinf*z2 + 
    588000*ln2^4*sinf^2*z2 + 9838080*li4half*z2^2 - 3494400*ln2^4*z2^2 - 
    4421760*ln2^3*sinf*z2^2 - 1128960*ln2^2*sinf^2*z2^2 - 
    5224800*ln2^2*z2^3 - 24131520*ln2*sinf*z2^3 - 6558720*sinf^2*z2^3 + 
    3973752*z2^4 - 68745600*li5half*z3 + 55440*ln2^5*z3 - 
    1999200*ln2^4*sinf*z3 - 1646400*ln2^3*sinf^2*z3 - 2906400*ln2^3*z2*z3 + 
    2116800*ln2^2*sinf*z2*z3 - 65270520*ln2*z2^2*z3 - 11188800*sinf*z2^2*z3 - 
    15000300*ln2^2*z3^2 - 26913600*ln2*sinf*z3^2 - 4057200*sinf^2*z3^2 - 
    60435900*z2*z3^2 + 10613400*ln2^3*z5 - 37044000*ln2^2*sinf*z5 - 
    2028600*ln2*sinf^2*z5 - 229395600*ln2*z2*z5 - 104227200*sinf*z2*z5 - 
    6260625*z3*z5 + 347460750*sinf*z7)/11289600, 
 H[1, 1, -1, -1, -1, 1, -1, 0, 1] -> 
  (-127008000*li4half^2 - 282240000*li8half - 28224000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 433300*ln2^8 + 46368000*ln2^2*s6 - 
    101726100*s8a - 1143576000*s8b - 92736000*s8c - 111888000*s8d + 
    366912000*li7half*sinf - 84672000*li5half*ln2^2*sinf - 
    28224000*li4half*ln2^3*sinf - 543200*ln2^7*sinf - 142128000*ln2*s6*sinf + 
    142128000*s7a*sinf - 20160000*s7b*sinf - 141120000*li6half*sinf^2 - 
    84672000*li5half*ln2*sinf^2 - 21168000*li4half*ln2^2*sinf^2 - 
    372400*ln2^6*sinf^2 - 38808000*s6*sinf^2 + 310464000*li6half*z2 + 
    169344000*li5half*ln2*z2 + 63504000*li4half*ln2^2*z2 + 2646000*ln2^6*z2 + 
    435456000*s6*z2 - 28224000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 940800*ln2^5*sinf*z2 - 21168000*li4half*sinf^2*z2 + 
    588000*ln2^4*sinf^2*z2 + 49593600*li4half*z2^2 + 361200*ln2^4*z2^2 + 
    21168000*ln2^3*sinf*z2^2 + 8114400*ln2^2*sinf^2*z2^2 - 
    18547200*ln2^2*z2^3 + 78019200*ln2*sinf*z2^3 + 31852800*sinf^2*z2^3 - 
    70399296*z2^4 + 188496000*li5half*z3 - 84672000*li4half*ln2*z3 - 
    6510000*ln2^5*z3 + 127008000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 - 
    2352000*ln2^3*sinf^2*z3 + 31584000*ln2^3*z2*z3 - 
    67032000*ln2^2*sinf*z2*z3 - 12348000*ln2*sinf^2*z2*z3 + 
    156920400*ln2*z2^2*z3 - 40773600*sinf*z2^2*z3 - 15183000*ln2^2*z3^2 + 
    149436000*ln2*sinf*z3^2 + 16096500*sinf^2*z3^2 + 64921500*z2*z3^2 + 
    2131500*ln2^3*z5 + 163611000*ln2^2*sinf*z5 + 6394500*ln2*sinf^2*z5 + 
    392427000*ln2*z2*z5 + 213129000*sinf*z2*z5 - 44438625*z3*z5 - 
    563944500*sinf*z7)/28224000, H[1, 1, -1, -1, -1, 1, -1, -1, 1] -> 
  (-1411200000*li8half - 56448000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 
    476000*ln2^8 + 103824000*ln2^2*s6 - 292995675*s8a - 2605176000*s8b - 
    207648000*s8c - 243936000*s8d + 903168000*li7half*sinf - 
    169344000*li5half*ln2^2*sinf - 56448000*li4half*ln2^3*sinf - 
    1187200*ln2^7*sinf - 116928000*ln2*s6*sinf + 116928000*s7a*sinf - 
    24192000*s7b*sinf - 282240000*li6half*sinf^2 - 
    169344000*li5half*ln2*sinf^2 - 42336000*li4half*ln2^2*sinf^2 - 
    784000*ln2^6*sinf^2 + 282240000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 4704000*ln2^6*z2 + 713664000*s6*z2 + 
    169344000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    6115200*ln2^5*sinf*z2 + 2352000*ln2^4*sinf^2*z2 - 40320000*li4half*z2^2 - 
    1562400*ln2^4*z2^2 + 7996800*ln2^3*sinf*z2^2 + 
    5644800*ln2^2*sinf^2*z2^2 + 77901600*ln2^2*z2^3 + 
    205968000*ln2*sinf*z2^3 + 64512000*sinf^2*z2^3 + 20597592*z2^4 + 
    191520000*li5half*z3 - 169344000*li4half*ln2*z3 - 13473600*ln2^5*z3 - 
    21168000*li4half*sinf*z3 - 9408000*ln2^4*sinf*z3 - 
    4116000*ln2^3*sinf^2*z3 + 93576000*ln2^3*z2*z3 + 
    31752000*ln2^2*sinf*z2*z3 + 264637800*ln2*z2^2*z3 + 
    20361600*sinf*z2^2*z3 - 62527500*ln2^2*z3^2 + 40320000*ln2*sinf*z3^2 + 
    298840500*z2*z3^2 - 94080000*ln2^3*z5 - 60858000*ln2^2*sinf*z5 - 
    112896000*ln2*sinf^2*z5 + 933408000*ln2*z2*z5 + 188370000*sinf*z2*z5 - 
    41587875*z3*z5 - 384552000*ln2*z7 - 1421847000*sinf*z7)/56448000, 
 H[1, 1, -1, -1, -1, 0, 1, 1, 1] -> (-6048000*li4half^2 - 20160000*li8half + 
    672000*li5half*ln2^3 + 4400*ln2^8 - 9072000*ln2^2*s6 + 22544550*s8a + 
    67032000*s8b + 18144000*s8c - 1008000*s8d + 8064000*li7half*sinf + 
    2016000*li5half*ln2^2*sinf + 1344000*li4half*ln2^3*sinf + 
    37600*ln2^7*sinf - 6768000*ln2*s6*sinf + 6768000*s7a*sinf + 
    7776000*s7b*sinf + 2016000*li5half*ln2*sinf^2 + 
    1008000*li4half*ln2^2*sinf^2 + 25200*ln2^6*sinf^2 - 
    4032000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 64400*ln2^6*z2 - 
    6552000*s6*z2 - 2016000*li5half*sinf*z2 - 4032000*li4half*ln2*sinf*z2 - 
    285600*ln2^5*sinf*z2 - 1008000*li4half*sinf^2*z2 - 
    126000*ln2^4*sinf^2*z2 - 4032000*li4half*z2^2 - 352800*ln2^4*z2^2 + 
    285600*ln2^3*sinf*z2^2 + 378000*ln2^2*sinf^2*z2^2 + 4935600*ln2^2*z2^3 + 
    2908800*ln2*sinf*z2^3 + 122400*sinf^2*z2^3 + 3156948*z2^4 + 
    1512000*li5half*z3 + 189000*ln2^5*z3 + 11088000*li4half*sinf*z3 + 
    966000*ln2^4*sinf*z3 + 336000*ln2^3*sinf^2*z3 - 2100000*ln2^3*z2*z3 - 
    5544000*ln2^2*sinf*z2*z3 - 882000*ln2*sinf^2*z2*z3 - 
    23247000*ln2*z2^2*z3 - 11383200*sinf*z2^2*z3 - 2047500*ln2^2*z3^2 + 
    8964000*ln2*sinf*z3^2 + 771750*sinf^2*z3^2 - 16931250*z2*z3^2 - 
    525000*ln2^3*z5 - 2551500*ln2^2*sinf*z5 - 1575000*ln2*sinf^2*z5 - 
    51282000*ln2*z2*z5 - 21298500*sinf*z2*z5 + 39879000*z3*z5 + 
    56476125*sinf*z7)/4032000, H[1, 1, -1, -1, -1, 0, 1, 0, 1] -> 
  (84672000*li4half^2 + 1354752000*li8half + 7056000*li4half*ln2^4 + 
    180600*ln2^8 + 27216000*ln2^2*s6 + 176341725*s8a + 2283624000*s8b - 
    54432000*s8c + 491904000*s8d - 677376000*li7half*sinf + 
    134400*ln2^7*sinf + 324576000*ln2*s6*sinf - 324576000*s7a*sinf - 
    56448000*s7b*sinf + 112896000*li6half*sinf^2 + 156800*ln2^6*sinf^2 + 
    28224000*s6*sinf^2 - 338688000*li6half*z2 - 1411200*ln2^6*z2 - 
    1287216000*s6*z2 + 56448000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 235200*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 - 
    1764000*ln2^4*sinf^2*z2 + 92736000*li4half*z2^2 - 7425600*ln2^4*z2^2 - 
    45864000*ln2^3*sinf*z2^2 - 21520800*ln2^2*sinf^2*z2^2 + 
    20512800*ln2^2*z2^3 - 99388800*ln2*sinf*z2^3 - 20748000*sinf^2*z2^3 - 
    163134744*z2^4 - 927360000*li5half*z3 + 11961600*ln2^5*z3 - 
    204624000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 + 
    7056000*ln2^3*sinf^2*z3 - 56112000*ln2^3*z2*z3 + 
    114660000*ln2^2*sinf*z2*z3 + 21168000*ln2*sinf^2*z2*z3 - 
    193271400*ln2*z2^2*z3 + 142354800*sinf*z2^2*z3 + 92326500*ln2^2*z3^2 - 
    321048000*ln2*sinf*z3^2 - 24034500*sinf^2*z3^2 + 9072000*z2*z3^2 + 
    12054000*ln2^3*z5 - 223587000*ln2^2*sinf*z5 + 36162000*ln2*sinf^2*z5 + 
    90972000*ln2*z2*z5 + 114219000*sinf*z2*z5 + 498290625*z3*z5 - 
    85113000*sinf*z7)/56448000, H[1, 1, -1, -1, -1, 0, 1, -1, 1] -> 
  (28224000*li4half^2 + 7451136000*li8half + 338688000*li7half*ln2 - 
    197568000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 
    23520000*li4half*ln2^4 + 852600*ln2^8 - 764064000*ln2^2*s6 + 
    50400000*ln2*s7a - 133056000*ln2*s7b + 2089752525*s8a + 14172984000*s8b + 
    1300320000*s8c + 1380960000*s8d - 1580544000*li7half*sinf - 
    395136000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf + 
    56448000*li4half*ln2^3*sinf + 2352000*ln2^7*sinf + 
    131040000*ln2*s6*sinf - 258048000*s7a*sinf + 108864000*s7b*sinf - 
    197568000*li6half*sinf^2 - 28224000*li5half*ln2*sinf^2 + 
    42336000*li4half*ln2^2*sinf^2 + 1724800*ln2^6*sinf^2 - 
    134064000*s6*sinf^2 + 395136000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 6585600*ln2^6*z2 - 3904992000*s6*z2 + 
    28224000*li5half*sinf*z2 - 4468800*ln2^5*sinf*z2 - 
    1764000*ln2^4*sinf^2*z2 + 269136000*li4half*z2^2 - 9189600*ln2^4*z2^2 - 
    27753600*ln2^3*sinf*z2^2 + 16228800*ln2^2*sinf^2*z2^2 - 
    55490400*ln2^2*z2^3 - 161380800*ln2*sinf*z2^3 + 17740800*sinf^2*z2^3 - 
    582021576*z2^4 - 2754864000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    28014000*ln2^5*z3 - 35280000*li4half*sinf*z3 + 3822000*ln2^4*sinf*z3 + 
    3528000*ln2^3*sinf^2*z3 - 164304000*ln2^3*z2*z3 + 
    107604000*ln2^2*sinf*z2*z3 + 12348000*ln2*sinf^2*z2*z3 - 
    1615962600*ln2*z2^2*z3 - 3603600*sinf*z2^2*z3 - 29011500*ln2^2*z3^2 - 
    232596000*ln2*sinf*z3^2 + 47187000*sinf^2*z3^2 - 1595506500*z2*z3^2 + 
    198744000*ln2^3*z5 - 292383000*ln2^2*sinf*z5 + 63063000*ln2*sinf^2*z5 - 
    3463803000*ln2*z2*z5 - 394317000*sinf*z2*z5 + 1613028375*z3*z5 - 
    1365462000*ln2*z7 + 1946526750*sinf*z7)/56448000, 
 H[1, 1, -1, -1, -1, 0, 0, 1, 1] -> (42336000*li4half^2 - 282240000*li8half - 
    4704000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 105700*ln2^8 + 
    33264000*ln2^2*s6 - 127146600*s8a - 844704000*s8b - 66528000*s8c - 
    109872000*s8d + 169344000*li7half*sinf - 14112000*li5half*ln2^2*sinf + 
    84000*ln2^7*sinf - 15120000*ln2*s6*sinf + 15120000*s7a*sinf - 
    62496000*s7b*sinf - 42336000*li6half*sinf^2 - 
    14112000*li5half*ln2*sinf^2 + 58800*ln2^6*sinf^2 - 10584000*s6*sinf^2 - 
    42336000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1078000*ln2^6*z2 + 297360000*s6*z2 + 
    28224000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 - 
    117600*ln2^5*sinf*z2 + 14112000*li4half*sinf^2*z2 + 
    294000*ln2^4*sinf^2*z2 - 27619200*li4half*z2^2 + 4200000*ln2^4*z2^2 + 
    1881600*ln2^3*sinf*z2^2 - 1411200*ln2^2*sinf^2*z2^2 + 730800*ln2^2*z2^3 + 
    11692800*ln2*sinf*z2^3 + 2830800*sinf^2*z2^3 + 42497484*z2^4 + 
    152712000*li5half*z3 + 28224000*li4half*ln2*z3 + 609000*ln2^5*z3 - 
    59976000*li4half*sinf*z3 - 735000*ln2^4*sinf*z3 + 
    1176000*ln2^3*sinf^2*z3 + 3318000*ln2^3*z2*z3 + 
    18522000*ln2^2*sinf*z2*z3 + 7056000*ln2*sinf^2*z2*z3 + 
    89737200*ln2*z2^2*z3 + 47338200*sinf*z2^2*z3 + 11119500*ln2^2*z3^2 + 
    8316000*ln2*sinf*z3^2 + 992250*sinf^2*z3^2 + 105131250*z2*z3^2 + 
    1102500*ln2^3*z5 + 78498000*ln2^2*sinf*z5 + 3307500*ln2*sinf^2*z5 + 
    192969000*ln2*z2*z5 + 195930000*sinf*z2*z5 - 214018875*z3*z5 - 
    573370875*sinf*z7)/14112000, H[1, 1, -1, -1, -1, 0, 0, 0, 1] -> 
  (211050*s8a + 1881600*s8b + 403200*s8d - 67200*ln2*s6*sinf + 
    67200*s7a*sinf - 100800*s6*sinf^2 + 806400*li6half*z2 + 1120*ln2^6*z2 - 
    504000*s6*z2 - 268800*li5half*sinf*z2 + 2240*ln2^5*sinf*z2 + 
    13440*li4half*z2^2 - 34720*ln2^4*z2^2 - 54880*ln2^3*sinf*z2^2 - 
    11760*ln2^2*sinf^2*z2^2 - 28560*ln2^2*z2^3 - 94080*ln2*sinf*z2^3 - 
    28320*sinf^2*z2^3 - 190776*z2^4 - 403200*li5half*z3 + 3360*ln2^5*z3 + 
    134400*li4half*sinf*z3 + 5600*ln2^4*sinf*z3 + 44800*ln2^3*z2*z3 + 
    100800*ln2^2*sinf*z2*z3 + 33600*ln2*sinf^2*z2*z3 - 336000*ln2*z2^2*z3 - 
    164640*sinf*z2^2*z3 + 84000*ln2*sinf*z3^2 + 58800*sinf^2*z3^2 - 
    394800*z2*z3^2 + 44800*ln2^3*z5 + 199500*ln2^2*sinf*z5 + 
    134400*ln2*sinf^2*z5 - 268800*ln2*z2*z5 + 6300*sinf*z2*z5 + 
    1051050*z3*z5 + 862575*sinf*z7)/134400, 
 H[1, 1, -1, -1, -1, 0, 0, -1, 1] -> 
  (84672000*li4half^2 + 1016064000*li8half - 112896000*li7half*ln2 - 
    56448000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 7056000*li4half*ln2^4 - 
    40600*ln2^8 + 46368000*ln2^2*s6 + 26208000*ln2*s7a + 252000000*ln2*s7b - 
    148114575*s8a + 93240000*s8b - 215712000*s8c + 159264000*s8d - 
    790272000*li7half*sinf - 112896000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 470400*ln2^7*sinf + 108864000*ln2*s6*sinf - 
    179424000*s7a*sinf + 131040000*s7b*sinf + 112896000*li6half*sinf^2 + 
    56448000*li5half*ln2*sinf^2 - 313600*ln2^6*sinf^2 + 7056000*s6*sinf^2 - 
    225792000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 431200*ln2^6*z2 - 304416000*s6*z2 - 
    28224000*li5half*sinf*z2 + 3998400*ln2^5*sinf*z2 + 
    14112000*li4half*sinf^2*z2 + 2940000*ln2^4*sinf^2*z2 - 
    51408000*li4half*z2^2 - 11079600*ln2^4*z2^2 - 16228800*ln2^3*sinf*z2^2 - 
    5292000*ln2^2*sinf^2*z2^2 - 42084000*ln2^2*z2^3 - 
    89359200*ln2*sinf*z2^3 - 28761600*sinf^2*z2^3 - 106044072*z2^4 - 
    297360000*li5half*z3 + 148176000*li4half*ln2*z3 + 5829600*ln2^5*z3 + 
    7056000*li4half*sinf*z3 - 6762000*ln2^4*sinf*z3 - 
    4704000*ln2^3*sinf^2*z3 - 38304000*ln2^3*z2*z3 + 
    26460000*ln2^2*sinf*z2*z3 + 14112000*ln2*sinf^2*z2*z3 - 
    151867800*ln2*z2^2*z3 - 45964800*sinf*z2^2*z3 + 81616500*ln2^2*z3^2 - 
    130788000*ln2*sinf*z3^2 - 6174000*sinf^2*z3^2 + 164650500*z2*z3^2 - 
    204918000*ln2^3*z5 - 259308000*ln2^2*sinf*z5 + 41454000*ln2*sinf^2*z5 - 
    183078000*ln2*z2*z5 - 409626000*sinf*z2*z5 + 36847125*z3*z5 + 
    2053603125*ln2*z7 + 1422658125*sinf*z7)/56448000, 
 H[1, 1, -1, -1, -1, 0, -1, 1, 1] -> 
  (254016000*li4half^2 - 6547968000*li8half + 28224000*li6half*ln2^2 - 
    94080000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 368200*ln2^8 + 
    328608000*ln2^2*s6 - 1281698775*s8a - 10478664000*s8b - 671328000*s8c - 
    1219680000*s8d + 1636992000*li7half*sinf - 197568000*li5half*ln2^2*sinf - 
    94080000*li4half*ln2^3*sinf - 2598400*ln2^7*sinf - 
    106848000*ln2*s6*sinf + 106848000*s7a*sinf - 161280000*s7b*sinf - 
    28224000*li6half*sinf^2 - 112896000*li5half*ln2*sinf^2 - 
    70560000*li4half*ln2^2*sinf^2 - 2038400*ln2^6*sinf^2 + 
    77616000*s6*sinf^2 + 479808000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 2587200*ln2^6*z2 + 3314304000*s6*z2 + 
    197568000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    8702400*ln2^5*sinf*z2 + 56448000*li4half*sinf^2*z2 + 
    4116000*ln2^4*sinf^2*z2 - 284860800*li4half*z2^2 + 19941600*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 - 32457600*ln2^2*sinf^2*z2^2 + 
    229672800*ln2^2*z2^3 + 228211200*ln2*sinf*z2^3 + 1612800*sinf^2*z2^3 + 
    537206976*z2^4 + 1853712000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    15682800*ln2^5*z3 - 310464000*li4half*sinf*z3 - 7644000*ln2^4*sinf*z3 + 
    3528000*ln2^3*sinf^2*z3 + 69804000*ln2^3*z2*z3 - 
    17640000*ln2^2*sinf*z2*z3 + 982913400*ln2*z2^2*z3 + 
    162439200*sinf*z2^2*z3 + 65299500*ln2^2*z3^2 + 77112000*ln2*sinf*z3^2 - 
    32193000*sinf^2*z3^2 + 935896500*z2*z3^2 - 6321000*ln2^3*z5 + 
    268128000*ln2^2*sinf*z5 + 35721000*ln2*sinf^2*z5 + 1830528000*ln2*z2*z5 + 
    473760000*sinf*z2*z5 - 667792125*z3*z5 - 2702574000*sinf*z7)/56448000, 
 H[1, 1, -1, -1, -1, 0, -1, 0, 1] -> 
  (-84672000*li4half^2 + 1354752000*li8half - 7056000*li4half*ln2^4 - 
    113400*ln2^8 + 71568000*ln2^2*s6 + 160361775*s8a + 3163608000*s8b - 
    143136000*s8c + 749952000*s8d - 677376000*li7half*sinf + 
    134400*ln2^7*sinf + 219744000*ln2*s6*sinf - 219744000*s7a*sinf - 
    78624000*s7b*sinf + 112896000*li6half*sinf^2 + 156800*ln2^6*sinf^2 - 
    63504000*s6*sinf^2 - 254016000*li6half*z2 - 254016000*li5half*ln2*z2 + 
    823200*ln2^6*z2 - 1633968000*s6*z2 - 310464000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 3763200*ln2^5*sinf*z2 - 
    14112000*li4half*sinf^2*z2 - 2940000*ln2^4*sinf^2*z2 + 
    219139200*li4half*z2^2 - 17858400*ln2^4*z2^2 - 39513600*ln2^3*sinf*z2^2 - 
    15876000*ln2^2*sinf^2*z2^2 - 37598400*ln2^2*z2^3 - 
    182901600*ln2*sinf*z2^3 - 32524800*sinf^2*z2^3 - 216158016*z2^4 - 
    914256000*li5half*z3 + 13263600*ln2^5*z3 + 7056000*li4half*sinf*z3 + 
    14406000*ln2^4*sinf*z3 + 9408000*ln2^3*sinf^2*z3 - 47964000*ln2^3*z2*z3 + 
    82908000*ln2^2*sinf*z2*z3 + 28224000*ln2*sinf^2*z2*z3 - 
    193044600*ln2*z2^2*z3 + 29836800*sinf*z2^2*z3 + 133024500*ln2^2*z3^2 - 
    161784000*ln2*sinf*z3^2 + 20286000*sinf^2*z3^2 - 130567500*z2*z3^2 + 
    51744000*ln2^3*z5 + 18522000*ln2^2*sinf*z5 + 155232000*ln2*sinf^2*z5 + 
    36918000*ln2*z2*z5 + 269766000*sinf*z2*z5 + 752605875*z3*z5 + 
    479548125*sinf*z7)/56448000, H[1, 1, -1, -1, -1, 0, -1, -1, 1] -> 
  (-36288000*li8half - 16128000*li7half*ln2 + 16128000*li6half*ln2^2 + 
    6720000*li5half*ln2^3 + 504000*li4half*ln2^4 - 10300*ln2^8 + 
    11664000*ln2^2*s6 - 3600000*ln2*s7a + 7488000*ln2*s7b - 13390650*s8a - 
    27216000*s8b - 14112000*s8c + 11088000*s8d - 4032000*li7half*sinf + 
    36288000*li6half*ln2*sinf + 14112000*li5half*ln2^2*sinf + 
    1344000*li4half*ln2^3*sinf - 10400*ln2^7*sinf + 11376000*ln2*s6*sinf - 
    10368000*s7a*sinf + 3744000*s7b*sinf + 20160000*li6half*sinf^2 + 
    8064000*li5half*ln2*sinf^2 + 1008000*li4half*ln2^2*sinf^2 + 
    2800*ln2^6*sinf^2 - 38304000*li6half*z2 - 22176000*li5half*ln2*z2 - 
    3024000*li4half*ln2^2*z2 + 61600*ln2^6*z2 - 21168000*s6*z2 - 
    8064000*li5half*sinf*z2 - 2016000*li4half*ln2*sinf*z2 + 
    50400*ln2^5*sinf*z2 + 1713600*li4half*z2^2 - 1470000*ln2^4*z2^2 - 
    2637600*ln2^3*sinf*z2^2 - 1209600*ln2^2*sinf^2*z2^2 - 
    1339200*ln2^2*z2^3 - 7754400*ln2*sinf*z2^3 - 4608000*sinf^2*z2^3 + 
    4236876*z2^4 - 7056000*li5half*z3 + 4032000*li4half*ln2*z3 + 
    428400*ln2^5*z3 + 1008000*li4half*sinf*z3 + 546000*ln2^4*sinf*z3 + 
    336000*ln2^3*sinf^2*z3 - 2940000*ln2^3*z2*z3 - 1260000*ln2^2*sinf*z2*z3 + 
    153000*ln2*z2^2*z3 - 1857600*sinf*z2^2*z3 + 4666500*ln2^2*z3^2 - 
    5778000*ln2*sinf*z3^2 + 6205500*z2*z3^2 - 5407500*ln2^3*z5 + 
    378000*ln2^2*sinf*z5 + 12096000*ln2*sinf^2*z5 - 6151500*ln2*z2*z5 - 
    23535000*sinf*z2*z5 + 32303250*z3*z5 + 78499125*ln2*z7 + 
    50144625*sinf*z7)/4032000, H[1, 1, -1, -1, -1, -1, 1, 1, 1] -> 
  (-268800*li5half*ln2^3 + 3080*ln2^8 + 3225600*li7half*sinf - 
    806400*li5half*ln2^2*sinf + 8000*ln2^7*sinf - 403200*ln2*s6*sinf + 
    403200*s7a*sinf - 403200*s7b*sinf - 1612800*li6half*sinf^2 - 
    806400*li5half*ln2*sinf^2 + 5600*ln2^6*sinf^2 - 403200*s6*sinf^2 + 
    1612800*li6half*z2 + 1612800*li5half*ln2*z2 - 41440*ln2^6*z2 + 
    403200*s6*z2 + 806400*li5half*sinf*z2 - 67200*ln2^5*sinf*z2 - 
    33600*ln2^4*sinf^2*z2 - 10080*ln2^4*z2^2 - 40320*ln2^3*sinf*z2^2 + 
    322560*ln2^2*z2^3 + 851040*ln2*sinf*z2^3 + 299520*sinf^2*z2^3 - 
    301536*z2^4 - 1411200*li5half*z3 + 149520*ln2^5*z3 + 
    243600*ln2^4*sinf*z3 + 117600*ln2^3*sinf^2*z3 - 722400*ln2^3*z2*z3 - 
    352800*ln2^2*sinf*z2*z3 - 151200*ln2*z2^2*z3 + 403200*sinf*z2^2*z3 + 
    604800*ln2^2*z3^2 + 302400*ln2*sinf*z3^2 + 100800*sinf^2*z3^2 - 
    806400*z2*z3^2 + 529200*ln2^3*z5 + 756000*ln2^2*sinf*z5 - 
    25200*ln2*sinf^2*z5 - 1562400*ln2*z2*z5 + 1234800*sinf*z2*z5 + 
    2778300*z3*z5 - 7363125*sinf*z7)/1612800, 
 H[1, 1, -1, -1, -1, -1, 1, 0, 1] -> 
  (12096000*li4half^2 + 64512000*li8half + 4032000*li5half*ln2^3 + 
    4032000*li4half*ln2^4 + 115000*ln2^8 + 11088000*ln2^2*s6 - 10673775*s8a + 
    11592000*s8b - 22176000*s8c + 14112000*s8d - 16128000*li7half*sinf + 
    12096000*li5half*ln2^2*sinf + 8064000*li4half*ln2^3*sinf + 
    238400*ln2^7*sinf + 10080000*ln2*s6*sinf - 10080000*s7a*sinf - 
    22176000*s7b*sinf + 8064000*li6half*sinf^2 + 12096000*li5half*ln2*
     sinf^2 + 6048000*li4half*ln2^2*sinf^2 + 162400*ln2^6*sinf^2 - 
    2016000*s6*sinf^2 - 8064000*li6half*z2 - 24192000*li5half*ln2*z2 - 
    18144000*li4half*ln2^2*z2 - 890400*ln2^6*z2 - 22176000*s6*z2 - 
    4032000*li5half*sinf*z2 - 806400*ln2^5*sinf*z2 + 
    2016000*li4half*sinf^2*z2 - 504000*ln2^4*sinf^2*z2 - 
    4838400*li4half*z2^2 + 1327200*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 + 
    302400*ln2^2*sinf^2*z2^2 - 9151200*ln2^2*z2^3 - 11253600*ln2*sinf*z2^3 - 
    2995200*sinf^2*z2^3 - 8819784*z2^4 - 15120000*li5half*z3 + 
    24192000*li4half*ln2*z3 + 1789200*ln2^5*z3 - 10080000*li4half*sinf*z3 + 
    1218000*ln2^4*sinf*z3 + 1092000*ln2^3*sinf^2*z3 - 3528000*ln2^3*z2*z3 + 
    8316000*ln2^2*sinf*z2*z3 + 1764000*ln2*sinf^2*z2*z3 - 
    1423800*ln2*z2^2*z3 + 9172800*sinf*z2^2*z3 + 16222500*ln2^2*z3^2 + 
    504000*ln2*sinf*z3^2 + 535500*sinf^2*z3^2 + 12600000*z2*z3^2 - 
    42000*ln2^3*z5 + 11592000*ln2^2*sinf*z5 - 126000*ln2*sinf^2*z5 + 
    74844000*ln2*z2*z5 + 57582000*sinf*z2*z5 - 4858875*z3*z5 - 
    87451875*sinf*z7)/8064000, H[1, 1, -1, -1, -1, -1, 1, -1, 1] -> 
  (24192000*li8half + 5376000*li5half*ln2^3 + 3024000*li4half*ln2^4 + 
    77600*ln2^8 + 6048000*ln2^2*s6 - 5440050*s8a + 21168000*s8b - 
    12096000*s8c + 8064000*s8d - 40320000*li7half*sinf + 
    16128000*li5half*ln2^2*sinf + 8064000*li4half*ln2^3*sinf + 
    200000*ln2^7*sinf + 10080000*ln2*s6*sinf - 10080000*s7a*sinf - 
    10080000*s7b*sinf + 20160000*li6half*sinf^2 + 
    16128000*li5half*ln2*sinf^2 + 6048000*li4half*ln2^2*sinf^2 + 
    140000*ln2^6*sinf^2 - 20160000*li6half*z2 - 32256000*li5half*ln2*z2 - 
    18144000*li4half*ln2^2*z2 - 800800*ln2^6*z2 - 14112000*s6*z2 - 
    16128000*li5half*sinf*z2 - 12096000*li4half*ln2*sinf*z2 - 
    1176000*ln2^5*sinf*z2 - 588000*ln2^4*sinf^2*z2 + 403200*li4half*z2^2 + 
    2839200*ln2^4*z2^2 + 2217600*ln2^3*sinf*z2^2 - 5328000*ln2^2*z2^3 - 
    12592800*ln2*sinf*z2^3 - 4608000*sinf^2*z2^3 + 42912*z2^4 + 
    12096000*li5half*z3 + 24192000*li4half*ln2*z3 + 1276800*ln2^5*z3 + 
    3024000*li4half*sinf*z3 + 1554000*ln2^4*sinf*z3 + 
    1176000*ln2^3*sinf^2*z3 - 9072000*ln2^3*z2*z3 - 
    4284000*ln2^2*sinf*z2*z3 - 428400*ln2*z2^2*z3 + 806400*sinf*z2^2*z3 + 
    17829000*ln2^2*z3^2 + 5544000*ln2*sinf*z3^2 - 315000*z2*z3^2 - 
    1344000*ln2^3*z5 + 4032000*ln2^2*sinf*z5 + 4032000*ln2*sinf^2*z5 + 
    36288000*ln2*z2*z5 + 25578000*sinf*z2*z5 - 5717250*z3*z5 - 
    16128000*ln2*z7 + 14371875*sinf*z7)/8064000, 
 H[1, 1, -1, -1, -1, -1, 0, 1, 1] -> 
  (-42336000*li4half^2 + 451584000*li8half + 4704000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 - 101500*ln2^8 - 1008000*ln2^2*s6 + 40998825*s8a + 
    509040000*s8b + 2016000*s8c + 89712000*s8d - 169344000*li7half*sinf + 
    14112000*li5half*ln2^2*sinf - 84000*ln2^7*sinf + 42336000*s7b*sinf + 
    28224000*li6half*sinf^2 + 14112000*li5half*ln2*sinf^2 - 
    78400*ln2^6*sinf^2 + 7056000*s6*sinf^2 + 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1332800*ln2^6*z2 - 
    218232000*s6*z2 - 42336000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*
     z2 + 1176000*ln2^5*sinf*z2 - 7056000*li4half*sinf^2*z2 + 
    882000*ln2^4*sinf^2*z2 + 26409600*li4half*z2^2 - 4779600*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 + 2293200*ln2^2*sinf^2*z2^2 - 
    29005200*ln2^2*z2^3 - 23083200*ln2*sinf*z2^3 - 2419200*sinf^2*z2^3 - 
    55101168*z2^4 - 98280000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    2473800*ln2^5*z3 + 45864000*li4half*sinf*z3 - 3381000*ln2^4*sinf*z3 - 
    3528000*ln2^3*sinf^2*z3 + 27090000*ln2^3*z2*z3 + 
    13230000*ln2^2*sinf*z2*z3 - 12373200*ln2*z2^2*z3 - 
    29899800*sinf*z2^2*z3 - 30271500*ln2^2*z3^2 - 17640000*ln2*sinf*z3^2 - 
    1874250*sinf^2*z3^2 - 4709250*z2*z3^2 - 3969000*ln2^3*z5 - 
    52920000*ln2^2*sinf*z5 - 11907000*ln2*sinf^2*z5 + 74214000*ln2*z2*z5 - 
    85554000*sinf*z2*z5 - 44029125*z3*z5 + 398388375*sinf*z7)/28224000, 
 H[1, 1, -1, -1, -1, -1, 0, 0, 1] -> 
  (-8064000*li8half - 200*ln2^8 - 1477350*s8a - 14515200*s8b - 2822400*s8d + 
    3225600*li7half*sinf - 640*ln2^7*sinf - 1008000*ln2*s6*sinf + 
    1008000*s7a*sinf - 403200*li6half*sinf^2 - 560*ln2^6*sinf^2 + 
    100800*s6*sinf^2 + 403200*li6half*z2 + 6160*ln2^6*z2 + 6552000*s6*z2 + 
    403200*li5half*sinf*z2 + 10080*ln2^5*sinf*z2 + 8400*ln2^4*sinf^2*z2 - 
    564480*li4half*z2^2 + 55440*ln2^4*z2^2 + 198240*ln2^3*sinf*z2^2 + 
    75600*ln2^2*sinf^2*z2^2 - 6480*ln2^2*z2^3 + 527040*ln2*sinf*z2^3 + 
    109440*sinf^2*z2^3 + 1145448*z2^4 + 4838400*li5half*z3 - 60480*ln2^5*z3 - 
    50400*ln2^4*sinf*z3 - 33600*ln2^3*sinf^2*z3 + 302400*ln2^3*z2*z3 - 
    302400*ln2^2*sinf*z2*z3 - 100800*ln2*sinf^2*z2*z3 + 1471680*ln2*z2^2*z3 - 
    10080*sinf*z2^2*z3 - 403200*ln2^2*z3^2 + 856800*ln2*sinf*z3^2 - 
    25200*sinf^2*z3^2 + 831600*z2*z3^2 - 134400*ln2^3*z5 + 
    573300*ln2^2*sinf*z5 - 403200*ln2*sinf^2*z5 + 806400*ln2*z2*z5 + 
    31500*sinf*z2*z5 - 3833550*z3*z5 - 2975175*sinf*z7)/403200, 
 H[1, 1, -1, -1, -1, -1, 0, -1, 1] -> 
  (479808000*li8half + 28224000*li7half*ln2 - 42336000*li6half*ln2^2 - 
    4704000*li5half*ln2^3 - 13300*ln2^8 - 9072000*ln2^2*s6 + 
    13104000*ln2*s7a + 20160000*ln2*s7b - 1949850*s8a + 63000000*s8b + 
    6048000*s8c - 27216000*s8d - 28224000*li7half*sinf - 
    84672000*li6half*ln2*sinf - 14112000*li5half*ln2^2*sinf + 
    5600*ln2^7*sinf - 56448000*ln2*s6*sinf + 70560000*s7a*sinf - 
    70560000*li6half*sinf^2 - 14112000*li5half*ln2*sinf^2 + 
    19600*ln2^6*sinf^2 + 141120000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    431200*ln2^6*z2 + 65016000*s6*z2 + 940800*ln2^5*sinf*z2 + 
    588000*ln2^4*sinf^2*z2 - 5443200*li4half*z2^2 + 155400*ln2^4*z2^2 + 
    9878400*ln2^3*sinf*z2^2 + 8467200*ln2^2*sinf^2*z2^2 - 
    45360000*ln2^2*z2^3 + 3225600*ln2*sinf*z2^3 + 16128000*sinf^2*z2^3 - 
    51117516*z2^4 + 47376000*li5half*z3 - 3217200*ln2^5*z3 - 
    7056000*ln2^4*sinf*z3 - 4704000*ln2^3*sinf^2*z3 + 29820000*ln2^3*z2*z3 + 
    21168000*ln2^2*sinf*z2*z3 + 17148600*ln2*z2^2*z3 + 3528000*sinf*z2^2*z3 - 
    49738500*ln2^2*z3^2 + 14112000*ln2*sinf*z3^2 + 36697500*z2*z3^2 - 
    25651500*ln2^3*z5 + 11907000*ln2^2*sinf*z5 - 56448000*ln2*sinf^2*z5 + 
    63535500*ln2*z2*z5 + 72765000*sinf*z2*z5 - 306888750*z3*z5 + 
    195544125*ln2*z7 - 39579750*sinf*z7)/28224000, 
 H[1, 1, -1, -1, -1, -1, -1, 1, 1] -> 
  (-4032000*li8half - 134400*li5half*ln2^3 - 100800*li4half*ln2^4 - 
    3600*ln2^8 - 201600*ln2^2*s6 - 184275*s8a - 4939200*s8b + 403200*s8c - 
    806400*s8d + 1612800*li7half*sinf - 403200*li5half*ln2^2*sinf - 
    268800*li4half*ln2^3*sinf - 9120*ln2^7*sinf - 403200*ln2*s6*sinf + 
    403200*s7a*sinf + 403200*s7b*sinf - 403200*li6half*sinf^2 - 
    403200*li5half*ln2*sinf^2 - 201600*li4half*ln2^2*sinf^2 - 
    6160*ln2^6*sinf^2 + 403200*li6half*z2 + 806400*li5half*ln2*z2 + 
    604800*li4half*ln2^2*z2 + 39760*ln2^6*z2 + 1814400*s6*z2 + 
    403200*li5half*sinf*z2 + 403200*li4half*ln2*sinf*z2 + 
    57120*ln2^5*sinf*z2 + 25200*ln2^4*sinf^2*z2 - 120960*li4half*z2^2 - 
    42000*ln2^4*z2^2 - 13440*ln2^3*sinf*z2^2 + 365760*ln2^2*z2^3 + 
    439200*ln2*sinf*z2^3 + 92160*sinf^2*z2^3 + 378504*z2^4 + 
    907200*li5half*z3 - 806400*li4half*ln2*z3 - 110040*ln2^5*z3 - 
    100800*li4half*sinf*z3 - 126000*ln2^4*sinf*z3 - 58800*ln2^3*sinf^2*z3 + 
    579600*ln2^3*z2*z3 + 201600*ln2^2*sinf*z2*z3 + 516600*ln2*z2^2*z3 - 
    40320*sinf*z2^2*z3 - 963900*ln2^2*z3^2 - 201600*ln2*sinf*z3^2 + 
    396900*z2*z3^2 - 537600*ln2^3*z5 - 403200*ln2^2*sinf*z5 - 
    403200*ln2*z2*z5 - 781200*sinf*z2*z5 - 826875*z3*z5 - 574875*sinf*z7)/
   806400, H[1, 1, -1, -1, -1, -1, -1, 0, 1] -> 
  (-2016000*li8half - 50*ln2^8 + 105525*s8a + 604800*s8b + 201600*s8d - 
    403200*li7half*sinf + 80*ln2^7*sinf + 403200*ln2*s6*sinf - 
    403200*s7a*sinf + 201600*li6half*sinf^2 + 280*ln2^6*sinf^2 - 
    604800*li6half*z2 - 6440*ln2^6*z2 - 504000*s6*z2 - 13440*ln2^5*sinf*z2 - 
    8400*ln2^4*sinf^2*z2 + 40320*li4half*z2^2 + 34440*ln2^4*z2^2 - 
    33600*ln2^3*sinf*z2^2 - 40320*ln2^2*sinf^2*z2^2 + 299520*ln2^2*z2^3 - 
    23040*ln2*sinf*z2^3 - 46080*sinf^2*z2^3 + 217764*z2^4 - 
    403200*li5half*z3 + 23520*ln2^5*z3 + 50400*ln2^4*sinf*z3 + 
    33600*ln2^3*sinf^2*z3 - 369600*ln2^3*z2*z3 - 201600*ln2^2*sinf*z2*z3 - 
    221760*ln2*z2^2*z3 - 20160*sinf*z2^2*z3 + 403200*ln2^2*z3^2 - 
    100800*ln2*sinf*z3^2 - 352800*z2*z3^2 + 67200*ln2^3*z5 - 
    189000*ln2^2*sinf*z5 + 201600*ln2*sinf^2*z5 - 1411200*ln2*z2*z5 - 
    415800*sinf*z2*z5 + 1838025*z3*z5 + 790650*sinf*z7)/403200, 
 H[1, 1, -1, -1, -1, -1, -1, -1, 1] -> 
  (1612800*li8half + 250*ln2^8 + 105525*s8a + 1209600*s8b + 201600*s8d - 
    403200*li7half*sinf + 560*ln2^7*sinf + 280*ln2^6*sinf^2 - 3080*ln2^6*z2 - 
    504000*s6*z2 - 3360*ln2^5*sinf*z2 + 40320*li4half*z2^2 - 
    26040*ln2^4*z2^2 - 26880*ln2^3*sinf*z2^2 - 136800*ln2^2*z2^3 - 
    92160*ln2*sinf*z2^3 - 207324*z2^4 - 403200*li5half*z3 + 20160*ln2^5*z3 + 
    16800*ln2^4*sinf*z3 - 67200*ln2^3*z2*z3 - 161280*ln2*z2^2*z3 + 
    100800*ln2^2*z3^2 - 50400*z2*z3^2 + 268800*ln2^3*z5 + 
    201600*ln2^2*sinf*z5 - 201600*ln2*z2*z5 + 212625*z3*z5 + 1209600*ln2*z7 + 
    403200*sinf*z7)/403200, H[1, 0, 1, 1, 1, 1, 1, 1, 1] -> 
  (-24*z2^4 + 25*sinf*z7)/25, H[1, 0, 1, 1, 1, 1, 1, 0, 1] -> 
  (-350*s8a + 1294*z2^4 + 350*sinf*z2^2*z3 + 875*sinf*z2*z5 - 3500*z3*z5 - 
    3500*sinf*z7)/875, H[1, 0, 1, 1, 1, 1, 1, -1, 1] -> 
  (-159936000*li8half - 56448000*li7half*ln2 - 4704000*li6half*ln2^2 + 
    700*ln2^8 + 3360000*ln2^2*s6 - 18559275*s8a - 137424000*s8b - 
    6720000*s8c - 14448000*s8d - 37632000*li7half*sinf - 
    9408000*li6half*ln2*sinf - 5600*ln2^7*sinf + 4704000*ln2*s6*sinf - 
    4704000*s7a*sinf + 4704000*li6half*z2 - 19600*ln2^6*z2 + 39480000*s6*z2 + 
    9408000*li5half*sinf*z2 + 78400*ln2^5*sinf*z2 + 8400000*li4half*z2^2 - 
    208600*ln2^4*z2^2 + 705600*ln2^3*sinf*z2^2 - 5628000*ln2^2*z2^3 - 
    1612800*ln2*sinf*z2^3 + 18203916*z2^4 + 10080000*li5half*z3 - 
    84000*ln2^5*z3 - 9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 + 
    840000*ln2^3*z2*z3 + 2352000*ln2^2*sinf*z2*z3 + 7434000*ln2*z2^2*z3 + 
    6820800*sinf*z2^2*z3 + 945000*ln2^2*z3^2 - 5880000*ln2*sinf*z3^2 + 
    9597000*z2*z3^2 - 4557000*ln2^2*sinf*z5 + 20160000*ln2*z2*z5 - 
    147000*sinf*z2*z5 - 14844375*z3*z5 + 4520250*sinf*z7)/9408000, 
 H[1, 0, 1, 1, 1, 1, 0, 1, 1] -> 
  (-2*(163*z2^4 + 70*sinf*z2^2*z3 + 350*sinf*z2*z5 - 700*z3*z5 - 
     875*sinf*z7))/175, H[1, 0, 1, 1, 1, 1, 0, 0, 1] -> 
  (175*s8a - 152*z2^4 - 25*sinf*z2^2*z3 - 125*z2*z3^2 + 500*sinf*z2*z5 + 
    125*z3*z5 - 500*sinf*z7)/250, H[1, 0, 1, 1, 1, 1, 0, -1, 1] -> 
  (161280*li4half^2 + 13440*li4half*ln2^4 + 280*ln2^8 + 201600*ln2^2*s6 - 
    403200*ln2*s7a - 403200*ln2*s7b + 412335*s8a - 2520000*s8b + 403200*s8c - 
    403200*s8d + 80640*ln2*s6*sinf - 80640*s7a*sinf - 80640*s7b*sinf - 
    80640*li4half*ln2^2*z2 - 3360*ln2^6*z2 + 806400*s6*z2 + 
    483840*li5half*sinf*z2 + 483840*li4half*ln2*sinf*z2 + 
    16128*ln2^5*sinf*z2 - 459648*li4half*z2^2 - 9072*ln2^4*z2^2 - 
    80640*ln2^3*sinf*z2^2 + 34272*ln2^2*z2^3 - 14112*ln2*sinf*z2^3 - 
    462096*z2^4 - 40320*li5half*z3 - 564480*li4half*ln2*z3 - 23184*ln2^5*z3 + 
    137760*ln2^3*z2*z3 + 211680*ln2^2*sinf*z2*z3 - 132552*ln2*z2^2*z3 - 
    78624*sinf*z2^2*z3 - 498960*ln2^2*z3^2 + 22680*ln2*sinf*z3^2 - 
    320040*z2*z3^2 - 25200*ln2*z2*z5 - 35280*sinf*z2*z5 + 3179295*z3*z5 + 
    2187675*ln2*z7 - 387765*sinf*z7)/322560, H[1, 0, 1, 1, 1, 1, -1, 1, 1] -> 
  (423360000*li8half - 70560000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 
    9100*ln2^8 + 3024000*ln2^2*s6 + 46270350*s8a + 515592000*s8b - 
    6048000*s8c + 111888000*s8d + 254016000*li7half*sinf - 
    14112000*li5half*ln2^2*sinf + 67200*ln2^7*sinf - 27216000*ln2*s6*sinf + 
    27216000*s7a*sinf + 20160000*s7b*sinf + 70560000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 254800*ln2^6*z2 - 276696000*s6*z2 - 
    127008000*li5half*sinf*z2 - 823200*ln2^5*sinf*z2 - 
    79228800*li4half*z2^2 + 1961400*ln2^4*z2^2 - 3880800*ln2^3*sinf*z2^2 + 
    7257600*ln2^2*z2^3 + 24494400*ln2*sinf*z2^3 - 86519844*z2^4 + 
    9072000*li5half*z3 - 75600*ln2^5*z3 + 84672000*li4half*sinf*z3 + 
    3528000*ln2^4*sinf*z3 + 756000*ln2^3*z2*z3 - 21168000*ln2^2*sinf*z2*z3 + 
    6690600*ln2*z2^2*z3 - 57304800*sinf*z2^2*z3 + 850500*ln2^2*z3^2 + 
    34020000*ln2*sinf*z3^2 - 22585500*z2*z3^2 + 6835500*ln2^2*sinf*z5 + 
    18144000*ln2*z2*z5 - 58999500*sinf*z2*z5 + 178337250*z3*z5 + 
    153538875*sinf*z7)/28224000, H[1, 0, 1, 1, 1, 1, -1, 0, 1] -> 
  (-39312000*ln2^2*s6 + 70690725*s8a + 226296000*s8b + 78624000*s8c - 
    64512000*s8d - 225792000*li7half*sinf + 44800*ln2^7*sinf - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf - 40320000*s7b*sinf - 
    310464000*li6half*z2 - 84672000*li5half*ln2*z2 + 274400*ln2^6*z2 + 
    93744000*s6*z2 + 141120000*li5half*sinf*z2 - 2116800*ln2^5*sinf*z2 + 
    150796800*li4half*z2^2 + 8341200*ln2^4*z2^2 - 705600*ln2^3*sinf*z2^2 + 
    31903200*ln2^2*z2^3 - 30038400*ln2*sinf*z2^3 + 92660976*z2^4 - 
    117936000*li5half*z3 + 982800*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    2352000*ln2^4*sinf*z3 - 9828000*ln2^3*z2*z3 + 14112000*ln2^2*sinf*z2*z3 - 
    86977800*ln2*z2^2*z3 + 44755200*sinf*z2^2*z3 - 11056500*ln2^2*z3^2 + 
    2520000*ln2*sinf*z3^2 - 68008500*z2*z3^2 + 41013000*ln2^2*sinf*z5 - 
    235872000*ln2*z2*z5 + 117999000*sinf*z2*z5 - 150262875*z3*z5 - 
    248865750*sinf*z7)/56448000, H[1, 0, 1, 1, 1, 1, -1, -1, 1] -> 
  (338688000*li8half + 338688000*li7half*ln2 + 112896000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 + 19600*ln2^8 + 33264000*ln2^2*s6 - 
    27216000*ln2*s7a - 20160000*ln2*s7b - 39097800*s8a - 320040000*s8b - 
    26208000*s8c - 65520000*s8d + 141120000*li7half*sinf + 
    84672000*li6half*ln2*sinf + 14112000*li5half*ln2^2*sinf - 
    28000*ln2^7*sinf - 15120000*ln2*s6*sinf + 1008000*s7a*sinf - 
    20160000*s7b*sinf - 42336000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    333200*ln2^6*z2 + 183960000*s6*z2 + 14112000*li5half*sinf*z2 + 
    1293600*ln2^5*sinf*z2 - 13104000*li4half*z2^2 - 5044200*ln2^4*z2^2 + 
    2704800*ln2^3*sinf*z2^2 - 12448800*ln2^2*z2^3 + 5947200*ln2*sinf*z2^3 - 
    20958948*z2^4 + 95760000*li5half*z3 - 798000*ln2^5*z3 + 
    7980000*ln2^3*z2*z3 + 21168000*ln2^2*sinf*z2*z3 + 33377400*ln2*z2^2*z3 + 
    5090400*sinf*z2^2*z3 - 21514500*ln2^2*z3^2 + 18900000*ln2*sinf*z3^2 + 
    30901500*z2*z3^2 - 6835500*ln2^3*z5 + 20506500*ln2^2*sinf*z5 + 
    137623500*ln2*z2*z5 + 74875500*sinf*z2*z5 - 148270500*z3*z5 - 
    181762875*ln2*z7 - 293115375*sinf*z7)/28224000, 
 H[1, 0, 1, 1, 1, 0, 1, 1, 1] -> 
  (-2*(-350*s8a + 3*z2^4 - 35*sinf*z2^2*z3 - 875*sinf*z2*z5 + 350*z3*z5 + 
     1575*sinf*z7))/175, H[1, 0, 1, 1, 1, 0, 1, 0, 1] -> 
  (-33600*s8a + 10736*z2^4 + 1680*sinf*z2^2*z3 + 8400*z2*z3^2 - 
    46200*sinf*z2*z5 - 8400*z3*z5 + 60375*sinf*z7)/8400, 
 H[1, 0, 1, 1, 1, 0, 1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    19152000*ln2^2*s6 + 8064000*ln2*s7a + 55104000*ln2*s7b - 88078200*s8a - 
    282408000*s8b - 77952000*s8c + 7392000*s8d - 18816000*ln2*s6*sinf - 
    4704000*s7a*sinf + 42336000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 + 32256000*s6*z2 - 56448000*li5half*sinf*z2 - 
    42336000*li4half*ln2*sinf*z2 - 1293600*ln2^5*sinf*z2 - 
    10516800*li4half*z2^2 - 1320200*ln2^4*z2^2 + 5880000*ln2^3*sinf*z2^2 + 
    109200*ln2^2*z2^3 + 14632800*ln2*sinf*z2^3 - 6758832*z2^4 + 
    84000000*li5half*z3 + 49392000*li4half*ln2*z3 + 1358000*ln2^5*z3 + 
    37632000*li4half*sinf*z3 + 1568000*ln2^4*sinf*z3 - 5348000*ln2^3*z2*z3 - 
    21756000*ln2^2*sinf*z2*z3 + 52693200*ln2*z2^2*z3 - 
    28812000*sinf*z2^2*z3 + 21850500*ln2^2*z3^2 - 4263000*ln2*sinf*z3^2 + 
    66769500*z2*z3^2 - 45570000*ln2^3*z5 - 45570000*ln2^2*sinf*z5 + 
    14070000*ln2*z2*z5 - 95109000*sinf*z2*z5 - 108433500*z3*z5 + 
    256352250*ln2*z7 + 265610625*sinf*z7)/9408000, 
 H[1, 0, 1, 1, 1, 0, 0, 1, 1] -> 
  (-37800*s8a + 11912*z2^4 + 14700*sinf*z2^2*z3 - 21000*z2*z3^2 - 
    115500*sinf*z2*z5 - 42000*z3*z5 + 160125*sinf*z7)/21000, 
 H[1, 0, 1, 1, 1, 0, 0, 0, 1] -> 
  (50400*s8a + 12134*z2^4 + 29400*sinf*z2^2*z3 + 21000*z2*z3^2 + 
    84000*sinf*z2*z5 - 42000*z3*z5 - 286125*sinf*z7)/42000, 
 H[1, 0, 1, 1, 1, 0, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    19152000*ln2^2*s6 - 38304000*ln2*s7a - 38304000*ln2*s7b + 33908175*s8a + 
    107352000*s8b + 38304000*s8c - 38304000*s8d - 18144000*ln2*s6*sinf + 
    18144000*s7a*sinf + 18144000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 + 76608000*s6*z2 + 84672000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 2822400*ln2^5*sinf*z2 - 
    73987200*li4half*z2^2 - 1318800*ln2^4*z2^2 - 14112000*ln2^3*sinf*z2^2 + 
    10836000*ln2^2*z2^3 + 3175200*ln2*sinf*z2^3 + 63181488*z2^4 - 
    71568000*li5half*z3 - 98784000*li4half*ln2*z3 - 3519600*ln2^5*z3 + 
    18732000*ln2^3*z2*z3 + 37044000*ln2^2*sinf*z2*z3 - 39123000*ln2*z2^2*z3 + 
    7308000*sinf*z2^2*z3 - 67158000*ln2^2*z3^2 - 5103000*ln2*sinf*z3^2 - 
    24759000*z2*z3^2 - 2394000*ln2*z2*z5 - 123417000*sinf*z2*z5 - 
    88176375*z3*z5 - 480256875*ln2*z7 + 62393625*sinf*z7)/28224000, 
 H[1, 0, 1, 1, 1, 0, -1, 1, 1] -> (-705600*li4half^2 - 58800*li4half*ln2^4 - 
    1225*ln2^8 - 1159200*ln2^2*s6 + 987525*s8a + 6745200*s8b + 1142400*s8c + 
    33600*s8d - 672000*ln2*s6*sinf + 672000*s7a*sinf - 504000*s7b*sinf + 
    352800*li4half*ln2^2*z2 + 14700*ln2^6*z2 - 67200*s6*z2 - 
    705600*li4half*ln2*sinf*z2 - 29400*ln2^5*sinf*z2 + 1806000*li4half*z2^2 + 
    31150*ln2^4*z2^2 + 176400*ln2^3*sinf*z2^2 - 244860*ln2^2*z2^3 - 
    449400*ln2*sinf*z2^3 + 333906*z2^4 - 67200*li5half*z3 + 560*ln2^5*z3 - 
    646800*li4half*sinf*z3 - 26950*ln2^4*sinf*z3 - 5600*ln2^3*z2*z3 - 
    455700*ln2^2*sinf*z2*z3 - 1181460*ln2*z2^2*z3 + 590310*sinf*z2^2*z3 + 
    239925*ln2^2*z3^2 + 840000*ln2*sinf*z3^2 - 1426425*z2*z3^2 + 
    759500*ln2^3*z5 + 2278500*ln2^2*sinf*z5 - 2883300*ln2*z2*z5 + 
    1370250*sinf*z2*z5 - 3026625*z3*z5 - 2064825*sinf*z7)/470400, 
 H[1, 0, 1, 1, 1, 0, -1, 0, 1] -> (-273525*s8a + 2688000*ln2*s6*sinf - 
    2688000*s7a*sinf - 2688000*s7b*sinf - 5040000*s6*z2 + 
    1512000*li4half*z2^2 + 63000*ln2^4*z2^2 - 378000*ln2^2*z2^3 - 
    470400*ln2*sinf*z2^3 - 1099604*z2^4 - 4704000*li4half*sinf*z3 - 
    196000*ln2^4*sinf*z3 + 1176000*ln2^2*sinf*z2*z3 + 1323000*ln2*z2^2*z3 + 
    2944200*sinf*z2^2*z3 - 3360000*ln2*sinf*z3^2 + 3412500*z2*z3^2 + 
    9765000*ln2*z2*z5 + 9429000*sinf*z2*z5 - 438375*z3*z5 - 22078875*sinf*z7)/
   1344000, H[1, 0, 1, 1, 1, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    67536000*ln2^2*s6 + 135072000*ln2*s7a - 147168000*ln2*s7b + 
    211725675*s8a + 1375416000*s8b + 147168000*s8c + 135072000*s8d + 
    66528000*ln2*s6*sinf + 74592000*s7a*sinf - 66528000*s7b*sinf - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 481824000*s6*z2 + 
    84672000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    2822400*ln2^5*sinf*z2 + 24192000*li4half*z2^2 + 2772000*ln2^4*z2^2 - 
    14112000*ln2^3*sinf*z2^2 + 20966400*ln2^2*z2^3 - 11642400*ln2*sinf*z2^3 + 
    33704928*z2^4 - 418320000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    630000*ln2^5*z3 - 49392000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 - 
    10164000*ln2^3*z2*z3 + 49392000*ln2^2*sinf*z2*z3 - 
    141485400*ln2*z2^2*z3 + 46645200*sinf*z2^2*z3 + 41202000*ln2^2*z3^2 - 
    24507000*ln2*sinf*z3^2 - 105966000*z2*z3^2 + 182280000*ln2^3*z5 + 
    136332000*ln2*z2*z5 + 152208000*sinf*z2*z5 + 222366375*z3*z5 - 
    1231342875*ln2*z7 - 374857875*sinf*z7)/56448000, 
 H[1, 0, 1, 1, 1, -1, 1, 1, 1] -> (84672000*li4half^2 + 282240000*li8half - 
    37632000*li5half*ln2^3 + 173600*ln2^8 - 189504000*ln2^2*s6 + 
    412227900*s8a + 147168000*s8b + 379008000*s8c - 379008000*s8d - 
    903168000*li7half*sinf - 9408000*li4half*ln2^3*sinf - 212800*ln2^7*sinf + 
    40320000*ln2*s6*sinf - 40320000*s7a*sinf - 54432000*s7b*sinf + 
    112896000*li5half*ln2*z2 - 2508800*ln2^6*z2 + 758016000*s6*z2 + 
    564480000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    2116800*ln2^5*sinf*z2 + 59673600*li4half*z2^2 - 806400*ln2^4*z2^2 + 
    1176000*ln2^3*sinf*z2^2 + 64310400*ln2^2*z2^3 - 28879200*ln2*sinf*z2^3 + 
    109671264*z2^4 - 568512000*li5half*z3 + 4737600*ln2^5*z3 - 
    162288000*li4half*sinf*z3 - 6762000*ln2^4*sinf*z3 - 
    47376000*ln2^3*z2*z3 + 40572000*ln2^2*sinf*z2*z3 - 
    419277600*ln2*z2^2*z3 + 96264000*sinf*z2^2*z3 - 53298000*ln2^2*z3^2 - 
    50400000*ln2*sinf*z3^2 - 242802000*z2*z3^2 + 13671000*ln2^2*sinf*z5 - 
    1137024000*ln2*z2*z5 + 160335000*sinf*z2*z5 + 241321500*z3*z5 - 
    426974625*sinf*z7)/56448000, H[1, 0, 1, 1, 1, -1, 1, 0, 1] -> 
  (-604800*li4half^2 - 50400*li4half*ln2^4 - 1050*ln2^8 + 403200*ln2^2*s6 - 
    902475*s8a + 10130400*s8b - 806400*s8c + 2620800*s8d + 
    6451200*li7half*sinf - 1280*ln2^7*sinf + 28800*ln2*s6*sinf - 
    28800*s7a*sinf - 1036800*s7b*sinf + 2419200*li6half*z2 - 
    806400*li5half*ln2*z2 - 100800*li4half*ln2^2*z2 + 5880*ln2^6*z2 - 
    6249600*s6*z2 - 2419200*li5half*sinf*z2 - 201600*li4half*ln2*sinf*z2 + 
    38640*ln2^5*sinf*z2 + 352800*li4half*z2^2 - 115500*ln2^4*z2^2 + 
    104160*ln2^3*sinf*z2^2 - 602280*ln2^2*z2^3 - 102240*ln2*sinf*z2^3 - 
    406548*z2^4 + 1209600*li5half*z3 - 10080*ln2^5*z3 - 
    1612800*li4half*sinf*z3 - 67200*ln2^4*sinf*z3 + 100800*ln2^3*z2*z3 + 
    403200*ln2^2*sinf*z2*z3 + 892080*ln2*z2^2*z3 + 1094400*sinf*z2^2*z3 + 
    113400*ln2^2*z3^2 - 36000*ln2*sinf*z3^2 + 453600*z2*z3^2 + 
    976500*ln2^2*sinf*z5 + 2419200*ln2*z2*z5 + 3259800*sinf*z2*z5 - 
    3879225*z3*z5 - 8833725*sinf*z7)/403200, 
 H[1, 0, 1, 1, 1, -1, 1, -1, 1] -> (14112000*li4half^2 - 790272000*li8half - 
    282240000*li7half*ln2 - 42336000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 - 7700*ln2^8 + 23688000*ln2^2*s6 + 
    68544000*ln2*s7a + 26208000*ln2*s7b - 160147575*s8a - 589680000*s8b - 
    120960000*s8c + 29232000*s8d + 112896000*li7half*sinf - 
    84672000*li6half*ln2*sinf + 4704000*li4half*ln2^3*sinf + 
    56000*ln2^7*sinf + 11088000*ln2*s6*sinf + 52416000*s7a*sinf - 
    46368000*s7b*sinf + 42336000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 294000*ln2^6*z2 - 44352000*s6*z2 - 
    28224000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 - 
    1411200*ln2^5*sinf*z2 + 201600*li4half*z2^2 + 5682600*ln2^4*z2^2 + 
    5762400*ln2^3*sinf*z2^2 - 40950000*ln2^2*z2^3 + 3679200*ln2*sinf*z2^3 + 
    33053508*z2^4 + 68544000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    277200*ln2^5*z3 - 21168000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 
    3948000*ln2^3*z2*z3 - 37044000*ln2^2*sinf*z2*z3 + 126453600*ln2*z2^2*z3 + 
    22680000*sinf*z2^2*z3 + 78435000*ln2^2*z3^2 + 17010000*ln2*sinf*z3^2 + 
    124677000*z2*z3^2 + 41013000*ln2^3*z5 + 95697000*ln2^2*sinf*z5 + 
    287217000*ln2*z2*z5 + 92988000*sinf*z2*z5 - 10591875*z3*z5 + 
    356524875*ln2*z7 - 192709125*sinf*z7)/28224000, 
 H[1, 0, 1, 1, 1, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    41664000*ln2^2*s6 - 83865600*s8a + 64176000*s8b - 83328000*s8c + 
    111552000*s8d + 22848000*ln2*s6*sinf - 22848000*s7a*sinf + 
    75936000*s7b*sinf - 112896000*li6half*z2 - 75264000*li5half*ln2*z2 + 
    4704000*li4half*ln2^2*z2 + 666400*ln2^6*z2 - 279552000*s6*z2 - 
    150528000*li5half*sinf*z2 - 18816000*li4half*ln2*sinf*z2 + 
    470400*ln2^5*sinf*z2 - 31785600*li4half*z2^2 - 4656400*ln2^4*z2^2 - 
    6664000*ln2^3*sinf*z2^2 - 5560800*ln2^2*z2^3 - 5594400*ln2*sinf*z2^3 - 
    13549776*z2^4 + 124992000*li5half*z3 - 1041600*ln2^5*z3 + 
    68208000*li4half*sinf*z3 + 2842000*ln2^4*sinf*z3 + 10416000*ln2^3*z2*z3 - 
    17052000*ln2^2*sinf*z2*z3 + 92181600*ln2*z2^2*z3 - 
    47174400*sinf*z2^2*z3 + 11718000*ln2^2*z3^2 - 28560000*ln2*sinf*z3^2 + 
    45738000*z2*z3^2 - 95697000*ln2^2*sinf*z5 + 249984000*ln2*z2*z5 - 
    232911000*sinf*z2*z5 + 11403000*z3*z5 + 641773125*sinf*z7)/18816000, 
 H[1, 0, 1, 1, 1, -1, 0, 0, 1] -> (5644800*li4half^2 + 470400*li4half*ln2^4 + 
    9800*ln2^8 + 806400*ln2^2*s6 - 2167200*s8a - 144748800*s8b - 
    1612800*s8c - 26611200*s8d - 11289600*ln2*s6*sinf + 11289600*s7a*sinf - 
    2822400*s7b*sinf - 22579200*li6half*z2 - 2822400*li4half*ln2^2*z2 - 
    148960*ln2^6*z2 + 71568000*s6*z2 + 11289600*li5half*sinf*z2 - 
    94080*ln2^5*sinf*z2 - 4757760*li4half*z2^2 + 624960*ln2^4*z2^2 + 
    3057600*ln2^3*sinf*z2^2 - 2288160*ln2^2*z2^3 + 5715360*ln2*sinf*z2^3 + 
    5013072*z2^4 + 2419200*li5half*z3 - 20160*ln2^5*z3 + 
    18345600*li4half*sinf*z3 + 764400*ln2^4*sinf*z3 + 201600*ln2^3*z2*z3 - 
    4586400*ln2^2*sinf*z2*z3 + 1784160*ln2*z2^2*z3 - 3034080*sinf*z2^2*z3 + 
    226800*ln2^2*z3^2 + 14112000*ln2*sinf*z3^2 + 6854400*z2*z3^2 + 
    13671000*ln2^2*sinf*z5 + 4838400*ln2*z2*z5 + 19315800*sinf*z2*z5 + 
    3074400*z3*z5 - 54386325*sinf*z7)/5644800, 
 H[1, 0, 1, 1, 1, -1, 0, -1, 1] -> 
  (-141120000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    225792000*li6half*ln2^2 - 11760000*li4half*ln2^4 - 177800*ln2^8 - 
    200592000*ln2^2*s6 + 12096000*ln2*s7a - 213696000*ln2*s7b + 
    745737300*s8a + 5699232000*s8b + 306432000*s8c + 653184000*s8d + 
    1806336000*li7half*sinf + 451584000*li6half*ln2*sinf + 
    268800*ln2^7*sinf - 296352000*ln2*s6*sinf + 225792000*s7a*sinf - 
    70560000*s7b*sinf - 395136000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 2430400*ln2^6*z2 - 1814400000*s6*z2 - 
    508032000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    2352000*ln2^5*sinf*z2 - 57052800*li4half*z2^2 - 8845200*ln2^4*z2^2 + 
    17875200*ln2^3*sinf*z2^2 + 78271200*ln2^2*z2^3 + 
    110728800*ln2*sinf*z2^3 - 261047592*z2^4 - 360864000*li5half*z3 - 
    49392000*li4half*ln2*z3 + 949200*ln2^5*z3 + 296352000*li4half*sinf*z3 + 
    12348000*ln2^4*sinf*z3 - 17724000*ln2^3*z2*z3 + 
    37044000*ln2^2*sinf*z2*z3 - 340527600*ln2*z2^2*z3 - 
    94021200*sinf*z2^2*z3 - 25546500*ln2^2*z3^2 + 287091000*ln2*sinf*z3^2 - 
    439519500*z2*z3^2 + 218736000*ln2^3*z5 + 287091000*ln2^2*sinf*z5 - 
    284508000*ln2*z2*z5 + 783657000*sinf*z2*z5 - 347319000*z3*z5 - 
    3099537000*ln2*z7 - 2100427875*sinf*z7)/56448000, 
 H[1, 0, 1, 1, 1, -1, -1, 1, 1] -> (-42336000*li4half^2 - 564480000*li8half + 
    127008000*li6half*ln2^2 + 47040000*li5half*ln2^3 - 156100*ln2^8 + 
    16632000*ln2^2*s6 - 68997600*s8a - 277704000*s8b - 26208000*s8c + 
    19152000*s8d - 366912000*li7half*sinf + 42336000*li5half*ln2^2*sinf + 
    4704000*li4half*ln2^3*sinf - 84000*ln2^7*sinf + 51408000*ln2*s6*sinf - 
    51408000*s7a*sinf + 153216000*s7b*sinf - 127008000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1901200*ln2^6*z2 - 
    38304000*s6*z2 - 70560000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 - 2116800*ln2^5*sinf*z2 + 13708800*li4half*z2^2 - 575400*ln2^4*z2^2 - 
    5292000*ln2^3*sinf*z2^2 + 8694000*ln2^2*z2^3 - 30643200*ln2*sinf*z2^3 + 
    54836604*z2^4 + 152208000*li5half*z3 - 1268400*ln2^5*z3 + 
    42336000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 + 12684000*ln2^3*z2*z3 - 
    52920000*ln2^2*sinf*z2*z3 + 34637400*ln2*z2^2*z3 - 
    65570400*sinf*z2^2*z3 + 14710500*ln2^2*z3^2 - 64260000*ln2*sinf*z3^2 + 
    7528500*z2*z3^2 + 9114000*ln2^3*z5 - 184558500*ln2^2*sinf*z5 + 
    51282000*ln2*z2*z5 - 483808500*sinf*z2*z5 + 79947000*z3*z5 + 
    1322976375*sinf*z7)/28224000, H[1, 0, 1, 1, 1, -1, -1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    20764800*ln2^2*s6 + 24152625*s8a - 73080000*s8b + 41529600*s8c - 
    55641600*s8d - 135475200*li7half*sinf + 26880*ln2^7*sinf + 
    27014400*ln2*s6*sinf - 27014400*s7a*sinf - 21369600*s7b*sinf + 
    107251200*li6half*z2 + 73382400*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 - 227360*ln2^6*z2 + 139507200*s6*z2 + 
    73382400*li5half*sinf*z2 + 5644800*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 + 12862080*li4half*z2^2 + 3887520*ln2^4*z2^2 - 
    2069760*ln2^3*sinf*z2^2 + 8416800*ln2^2*z2^3 - 5392800*ln2*sinf*z2^3 - 
    6279696*z2^4 - 62294400*li5half*z3 + 519120*ln2^5*z3 - 
    40924800*li4half*sinf*z3 - 1705200*ln2^4*sinf*z3 - 5191200*ln2^3*z2*z3 + 
    10231200*ln2^2*sinf*z2*z3 - 33241320*ln2*z2^2*z3 + 
    28969920*sinf*z2^2*z3 - 5840100*ln2^2*z3^2 - 33768000*ln2*sinf*z3^2 - 
    21136500*z2*z3^2 - 5468400*ln2^2*sinf*z5 - 108183600*ln2*z2*z5 + 
    24670800*sinf*z2*z5 + 20202525*z3*z5 - 85319325*sinf*z7)/11289600, 
 H[1, 0, 1, 1, 1, -1, -1, -1, 1] -> (-5644800*li4half^2 + 372556800*li8half + 
    45158400*li7half*ln2 - 45158400*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    1881600*li4half*ln2^4 + 25760*ln2^8 - 39110400*ln2^2*s6 + 
    10080000*ln2*s7a - 20966400*ln2*s7b + 93718800*s8a + 635846400*s8b + 
    52416000*s8c + 63302400*s8d + 169344000*li7half*sinf + 
    11289600*li6half*ln2*sinf - 16934400*li5half*ln2^2*sinf - 
    1881600*li4half*ln2^3*sinf + 44800*ln2^7*sinf - 38707200*ln2*s6*sinf + 
    35884800*s7a*sinf - 31852800*s7b*sinf - 5644800*li6half*z2 + 
    16934400*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 - 258720*ln2^6*z2 - 
    183052800*s6*z2 - 16934400*li5half*sinf*z2 + 517440*ln2^5*sinf*z2 + 
    2782080*li4half*z2^2 - 1142400*ln2^4*z2^2 + 2493120*ln2^3*sinf*z2^2 + 
    11208960*ln2^2*z2^3 + 12529440*ln2*sinf*z2^3 - 21519576*z2^4 - 
    101203200*li5half*z3 - 11289600*li4half*ln2*z3 + 372960*ln2^5*z3 + 
    12700800*li4half*sinf*z3 + 529200*ln2^4*sinf*z3 - 5611200*ln2^3*z2*z3 + 
    13759200*ln2^2*sinf*z2*z3 - 61553520*ln2*z2^2*z3 + 4959360*sinf*z2^2*z3 - 
    3591000*ln2^2*z3^2 + 36036000*ln2*sinf*z3^2 - 58098600*z2*z3^2 + 
    26430600*ln2^3*z5 + 60152400*ln2^2*sinf*z5 - 89220600*ln2*z2*z5 + 
    129024000*sinf*z2*z5 + 21357000*z3*z5 - 219797550*ln2*z7 - 
    338267475*sinf*z7)/11289600, H[1, 0, 1, 1, 0, 1, 1, 1, 1] -> 
  (-140*s8a + 18*z2^4 - 350*sinf*z2*z5 + 595*sinf*z7)/35, 
 H[1, 0, 1, 1, 0, 1, 1, 0, 1] -> (18900*s8a - 5536*z2^4 - 3500*sinf*z2^2*z3 - 
    3500*z2*z3^2 + 31500*sinf*z2*z5 + 31500*z3*z5 - 44625*sinf*z7)/7000, 
 H[1, 0, 1, 1, 0, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    21840000*ln2^2*s6 - 12096000*ln2*s7a - 82656000*ln2*s7b + 43615950*s8a + 
    39648000*s8b + 51072000*s8c - 51072000*s8d + 47712000*ln2*s6*sinf + 
    22848000*s7a*sinf - 66528000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 + 66864000*s6*z2 + 94080000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 2744000*ln2^5*sinf*z2 - 
    31382400*li4half*z2^2 + 456400*ln2^4*z2^2 - 13328000*ln2^3*sinf*z2^2 - 
    31130400*ln2^2*z2^3 - 19370400*ln2*sinf*z2^3 + 22689192*z2^4 - 
    43680000*li5half*z3 - 98784000*li4half*ln2*z3 - 3752000*ln2^5*z3 - 
    37632000*li4half*sinf*z3 - 1568000*ln2^4*sinf*z3 + 21056000*ln2^3*z2*z3 + 
    21756000*ln2^2*sinf*z2*z3 + 3486000*ln2*z2^2*z3 + 32004000*sinf*z2^2*z3 - 
    31930500*ln2^2*z3^2 + 9303000*ln2*sinf*z3^2 - 23089500*z2*z3^2 + 
    68355000*ln2^3*z5 + 86583000*ln2^2*sinf*z5 + 91791000*ln2*z2*z5 + 
    135009000*sinf*z2*z5 + 38361750*z3*z5 - 384528375*ln2*z7 - 
    379561875*sinf*z7)/18816000, H[1, 0, 1, 1, 0, 1, 0, 1, 1] -> 
  (11200*s8a - 1776*z2^4 - 1680*sinf*z2^2*z3 + 5600*z2*z3^2 + 
    33600*sinf*z2*z5 - 11200*z3*z5 - 50925*sinf*z7)/2800, 
 H[1, 0, 1, 1, 0, 1, 0, 0, 1] -> 
  (-56700*s8a - 14677*z2^4 - 29400*sinf*z2^2*z3 - 21000*z2*z3^2 - 
    115500*sinf*z2*z5 + 42000*z3*z5 + 343875*sinf*z7)/21000, 
 H[1, 0, 1, 1, 0, 1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    38304000*ln2^2*s6 + 76608000*ln2*s7a + 76608000*ln2*s7b - 65423925*s8a - 
    59472000*s8b - 76608000*s8c + 76608000*s8d + 36288000*ln2*s6*sinf - 
    36288000*s7a*sinf - 36288000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 153216000*s6*z2 - 169344000*li5half*sinf*z2 - 
    169344000*li4half*ln2*sinf*z2 - 5644800*ln2^5*sinf*z2 + 
    147974400*li4half*z2^2 + 2637600*ln2^4*z2^2 + 28224000*ln2^3*sinf*z2^2 - 
    21672000*ln2^2*z2^3 - 6350400*ln2*sinf*z2^3 - 88368768*z2^4 + 
    143136000*li5half*z3 + 197568000*li4half*ln2*z3 + 7039200*ln2^5*z3 - 
    37464000*ln2^3*z2*z3 - 74088000*ln2^2*sinf*z2*z3 + 78246000*ln2*z2^2*z3 + 
    2318400*sinf*z2^2*z3 + 134316000*ln2^2*z3^2 + 10206000*ln2*sinf*z3^2 + 
    49518000*z2*z3^2 + 4788000*ln2*z2*z5 + 225445500*sinf*z2*z5 - 
    109415250*z3*z5 + 652475250*ln2*z7 - 111888000*sinf*z7)/28224000, 
 H[1, 0, 1, 1, 0, 1, -1, 1, 1] -> 
  (16934400*li4half^2 + 1411200*li4half*ln2^4 + 29400*ln2^8 - 
    12902400*ln2^2*s6 + 39643800*s8a + 90518400*s8b + 25804800*s8c + 
    2419200*s8d + 11289600*ln2*s6*sinf - 11289600*s7a*sinf - 
    17875200*s7b*sinf - 8467200*li4half*ln2^2*z2 - 352800*ln2^6*z2 - 
    18950400*s6*z2 + 30105600*li5half*sinf*z2 + 16934400*li4half*ln2*sinf*
     z2 + 454720*ln2^5*sinf*z2 + 11491200*li4half*z2^2 + 1537200*ln2^4*z2^2 - 
    1724800*ln2^3*sinf*z2^2 + 11420640*ln2^2*z2^3 + 588000*ln2*sinf*z2^3 - 
    5578848*z2^4 - 65049600*li5half*z3 + 542080*ln2^5*z3 - 
    29635200*li4half*sinf*z3 - 1234800*ln2^4*sinf*z3 - 5420800*ln2^3*z2*z3 + 
    17287200*ln2^2*sinf*z2*z3 - 29863680*ln2*z2^2*z3 + 
    17898720*sinf*z2^2*z3 - 6510000*ln2^2*z3^2 - 14112000*ln2*sinf*z3^2 - 
    20706000*z2*z3^2 - 9114000*ln2^3*z5 - 7291200*ln2^2*sinf*z5 - 
    50072400*ln2*z2*z5 + 54801600*sinf*z2*z5 + 81771900*z3*z5 - 
    165709425*sinf*z7)/3763200, H[1, 0, 1, 1, 0, 1, -1, 0, 1] -> 
  (-4262475*s8a + 10416000*s8b - 5184000*ln2*s6*sinf + 5184000*s7a*sinf + 
    5184000*s7b*sinf + 1344000*s6*z2 - 7224000*li4half*z2^2 - 
    301000*ln2^4*z2^2 + 1806000*ln2^2*z2^3 - 64800*ln2*sinf*z2^3 + 
    4562004*z2^4 + 8736000*li4half*sinf*z3 + 364000*ln2^4*sinf*z3 - 
    2184000*ln2^2*sinf*z2*z3 - 2646000*ln2*z2^2*z3 - 5682000*sinf*z2^2*z3 + 
    6480000*ln2*sinf*z3^2 - 2037000*z2*z3^2 - 14647500*ln2*z2*z5 - 
    25507500*sinf*z2*z5 - 4415250*z3*z5 + 54545250*sinf*z7)/1344000, 
 H[1, 0, 1, 1, 0, 1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    93072000*ln2^2*s6 + 84672000*ln2*s7a - 14112000*ln2*s7b + 43074150*s8a + 
    467040000*s8b + 30912000*s8c + 81984000*s8d - 4704000*ln2*s6*sinf + 
    18816000*s7a*sinf - 28224000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 227472000*s6*z2 - 75264000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 2900800*ln2^5*sinf*z2 + 
    64377600*li4half*z2^2 + 918400*ln2^4*z2^2 + 14896000*ln2^3*sinf*z2^2 - 
    19992000*ln2^2*z2^3 - 13977600*ln2*sinf*z2^3 - 25238616*z2^4 - 
    13440000*li5half*z3 + 98784000*li4half*ln2*z3 + 4228000*ln2^5*z3 + 
    11760000*li4half*sinf*z3 + 490000*ln2^4*sinf*z3 - 25816000*ln2^3*z2*z3 - 
    64680000*ln2^2*sinf*z2*z3 - 26023200*ln2*z2^2*z3 + 3292800*sinf*z2^2*z3 + 
    124057500*ln2^2*z3^2 + 39837000*ln2*sinf*z3^2 - 56185500*z2*z3^2 + 
    141267000*ln2^3*z5 + 113925000*ln2^2*sinf*z5 - 116550000*ln2*z2*z5 + 
    83790000*sinf*z2*z5 + 69846000*z3*z5 + 120117375*ln2*z7 - 
    2315250*sinf*z7)/18816000, H[1, 0, 1, 1, 0, 0, 1, 1, 1] -> 
  (-700*s8a + 132*z2^4 + 70*sinf*z2^2*z3 - 350*z3*z5 - 175*sinf*z7)/700, 
 H[1, 0, 1, 1, 0, 0, 1, 0, 1] -> 
  (75600*s8a - 14974*z2^4 - 23800*sinf*z2^2*z3 - 14000*z2*z3^2 + 
    63000*sinf*z2*z5 + 126000*z3*z5 - 58625*sinf*z7)/14000, 
 H[1, 0, 1, 1, 0, 0, 1, -1, 1] -> (2038400*ln2^2*s6 - 1478400*ln2*s7a - 
    224000*ln2*s7b + 165900*s8a - 9105600*s8b - 1747200*s8c - 134400*s8d + 
    224000*ln2*s6*sinf - 851200*s7a*sinf + 403200*s7b*sinf + 1523200*s6*z2 - 
    1881600*li5half*sinf*z2 + 15680*ln2^5*sinf*z2 - 26880*li4half*z2^2 - 
    1120*ln2^4*z2^2 - 156800*ln2^3*sinf*z2^2 - 365120*ln2^2*z2^3 - 
    549920*ln2*sinf*z2^3 - 1071976*z2^4 + 3561600*li5half*z3 - 
    29680*ln2^5*z3 + 296800*ln2^3*z2*z3 + 823200*ln2^2*sinf*z2*z3 + 
    938840*ln2*z2^2*z3 - 496160*sinf*z2^2*z3 - 970200*ln2^2*z3^2 + 
    200200*ln2*sinf*z3^2 + 957600*z2*z3^2 - 1215200*ln2^3*z5 - 
    1215200*ln2^2*sinf*z5 + 10094000*ln2*z2*z5 + 2436700*sinf*z2*z5 + 
    261975*z3*z5 - 4138225*ln2*z7 - 850325*sinf*z7)/627200, 
 H[1, 0, 1, 1, 0, 0, 0, 1, 1] -> 
  (-69300*s8a + 11267*z2^4 + 14700*sinf*z2^2*z3 - 10500*z2*z3^2 - 
    115500*sinf*z2*z5 - 21000*z3*z5 + 160125*sinf*z7)/21000, 
 H[1, 0, 1, 1, 0, 0, 0, 0, 1] -> (-2100*s8a + 874*z2^4 + 6300*sinf*z2^2*z3 + 
    5250*z2*z3^2 + 5250*sinf*z2*z5 - 23625*z3*z5 - 21000*sinf*z7)/5250, 
 H[1, 0, 1, 1, 0, 0, 0, -1, 1] -> (-2688000*ln2^2*s6 + 5376000*ln2*s7a + 
    5376000*ln2*s7b - 13438425*s8a - 7392000*s8b - 5376000*s8c + 
    5376000*s8d - 5376000*ln2*s6*sinf + 5376000*s7a*sinf + 5376000*s7b*sinf - 
    10752000*s6*z2 + 1075200*li4half*z2^2 + 44800*ln2^4*z2^2 + 
    806400*ln2^2*z2^3 + 940800*ln2*sinf*z2^3 - 1042768*z2^4 - 
    10752000*li5half*z3 + 89600*ln2^5*z3 - 896000*ln2^3*z2*z3 - 
    2654400*ln2*z2^2*z3 + 1394400*sinf*z2^2*z3 + 3360000*ln2^2*z3^2 - 
    1512000*ln2*sinf*z3^2 + 6384000*z2*z3^2 + 336000*ln2*z2*z5 - 
    23509500*sinf*z2*z5 - 4378500*z3*z5 + 52174500*ln2*z7 + 39642750*sinf*z7)/
   4704000, H[1, 0, 1, 1, 0, 0, -1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    9744000*ln2^2*s6 - 8666700*s8a + 35616000*s8b + 14784000*s8c - 
    10080000*s8d - 13440000*ln2*s6*sinf + 13440000*s7a*sinf + 
    8736000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 
    20160000*s6*z2 - 14112000*li4half*ln2*sinf*z2 - 588000*ln2^5*sinf*z2 - 
    11188800*li4half*z2^2 - 1348200*ln2^4*z2^2 + 3528000*ln2^3*sinf*z2^2 + 
    3368400*ln2^2*z2^3 + 6182400*ln2*sinf*z2^3 + 16298148*z2^4 + 
    20160000*li5half*z3 - 168000*ln2^5*z3 + 24696000*li4half*sinf*z3 + 
    1029000*ln2^4*sinf*z3 + 1680000*ln2^3*z2*z3 - 18522000*ln2^2*sinf*z2*z3 - 
    7182000*ln2*z2^2*z3 - 11243400*sinf*z2^2*z3 + 346500*ln2^2*z3^2 + 
    16800000*ln2*sinf*z3^2 - 13072500*z2*z3^2 + 3038000*ln2^3*z5 + 
    9114000*ln2^2*sinf*z5 - 85218000*ln2*z2*z5 - 52857000*sinf*z2*z5 - 
    28476000*z3*z5 + 105868875*sinf*z7)/4704000, 
 H[1, 0, 1, 1, 0, 0, -1, 0, 1] -> (418725*s8a + 384000*ln2*s6*sinf - 
    384000*s7a*sinf - 384000*s7b*sinf - 144000*s6*z2 + 216000*li4half*z2^2 + 
    9000*ln2^4*z2^2 - 54000*ln2^2*z2^3 - 67200*ln2*sinf*z2^3 - 135024*z2^4 - 
    672000*li4half*sinf*z3 - 28000*ln2^4*sinf*z3 + 168000*ln2^2*sinf*z2*z3 + 
    189000*ln2*z2^2*z3 + 339000*sinf*z2^2*z3 - 480000*ln2*sinf*z3^2 + 
    97500*z2*z3^2 + 279000*ln2*z2*z5 + 1719000*sinf*z2*z5 + 147375*z3*z5 - 
    3467625*sinf*z7)/96000, H[1, 0, 1, 1, 0, 0, -1, -1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 + 3225600*ln2^2*s6 - 
    6451200*ln2*s7a - 12096000*ln2*s7b + 10521000*s8a + 20865600*s8b + 
    12096000*s8c - 6451200*s8d + 3225600*ln2*s6*sinf - 403200*s7a*sinf - 
    3225600*s7b*sinf - 2822400*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 
    8668800*s6*z2 + 16934400*li5half*sinf*z2 + 16934400*li4half*ln2*sinf*z2 + 
    564480*ln2^5*sinf*z2 - 8205120*li4half*z2^2 + 10920*ln2^4*z2^2 - 
    2822400*ln2^3*sinf*z2^2 + 761040*ln2^2*z2^3 - 564480*ln2*sinf*z2^3 + 
    5206428*z2^4 - 16732800*li5half*z3 - 19756800*li4half*ln2*z3 - 
    683760*ln2^5*z3 - 4939200*li4half*sinf*z3 - 205800*ln2^4*sinf*z3 + 
    3544800*ln2^3*z2*z3 + 8643600*ln2^2*sinf*z2*z3 - 4311720*ln2*z2^2*z3 + 
    3026520*sinf*z2^2*z3 - 12675600*ln2^2*z3^2 - 3414600*ln2*sinf*z3^2 - 
    7704900*z2*z3^2 + 3645600*ln2^3*z5 + 2154600*ln2*z2*z5 - 
    756000*sinf*z2*z5 + 19851300*z3*z5 - 75299175*ln2*z7 - 29165850*sinf*z7)/
   2822400, H[1, 0, 1, 1, 0, -1, 1, 1, 1] -> 
  (48720000*ln2^2*s6 - 158582025*s8a - 270984000*s8b - 97440000*s8c + 
    26880000*s8d + 25536000*ln2*s6*sinf - 25536000*s7a*sinf + 
    26208000*s7b*sinf - 18480000*s6*z2 - 75264000*li5half*sinf*z2 + 
    627200*ln2^5*sinf*z2 - 39782400*li4half*z2^2 - 1657600*ln2^4*z2^2 - 
    6272000*ln2^3*sinf*z2^2 - 24964800*ln2^2*z2^3 - 6266400*ln2*sinf*z2^3 + 
    6345456*z2^4 + 96768000*li5half*z3 - 806400*ln2^5*z3 + 
    37632000*li4half*sinf*z3 + 1568000*ln2^4*sinf*z3 + 8064000*ln2^3*z2*z3 + 
    2940000*ln2^2*sinf*z2*z3 + 123845400*ln2*z2^2*z3 - 
    12180000*sinf*z2^2*z3 + 13702500*ln2^2*z3^2 - 31920000*ln2*sinf*z3^2 + 
    80062500*z2*z3^2 + 22785000*ln2^3*z5 - 50127000*ln2^2*sinf*z5 + 
    223965000*ln2*z2*z5 - 109179000*sinf*z2*z5 - 194709375*z3*z5 + 
    273212625*sinf*z7)/18816000, H[1, 0, 1, 1, 0, -1, 1, 0, 1] -> 
  (7911225*s8a - 10416000*s8b - 2880000*ln2*s6*sinf + 2880000*s7a*sinf + 
    2880000*s7b*sinf + 3696000*s6*z2 + 2688000*li4half*z2^2 + 
    112000*ln2^4*z2^2 - 672000*ln2^2*z2^3 + 1476000*ln2*sinf*z2^3 - 
    4136784*z2^4 + 5376000*li4half*sinf*z3 + 224000*ln2^4*sinf*z3 - 
    1344000*ln2^2*sinf*z2*z3 - 1323000*ln2*z2^2*z3 - 5317800*sinf*z2^2*z3 + 
    3600000*ln2*sinf*z3^2 - 3433500*z2*z3^2 + 4882500*ln2*z2*z5 - 
    837000*sinf*z2*z5 + 24310125*z3*z5 + 9848625*sinf*z7)/1344000, 
 H[1, 0, 1, 1, 0, -1, 1, -1, 1] -> (-25872000*ln2^2*s6 - 77280000*ln2*s7a - 
    6720000*ln2*s7b + 156181200*s8a + 173712000*s8b + 135744000*s8c - 
    65184000*s8d - 40320000*ln2*s6*sinf - 30240000*s7a*sinf + 
    7392000*s7b*sinf + 130368000*s6*z2 + 65856000*li5half*sinf*z2 - 
    548800*ln2^5*sinf*z2 - 13036800*li4half*z2^2 - 543200*ln2^4*z2^2 + 
    5488000*ln2^3*sinf*z2^2 + 59270400*ln2^2*z2^3 + 19874400*ln2*sinf*z2^3 + 
    16311072*z2^4 - 22512000*li5half*z3 + 187600*ln2^5*z3 - 
    1876000*ln2^3*z2*z3 + 12348000*ln2^2*sinf*z2*z3 - 141237600*ln2*z2^2*z3 - 
    11592000*sinf*z2^2*z3 - 80850000*ln2^2*z3^2 + 31878000*ln2*sinf*z3^2 - 
    139440000*z2*z3^2 - 91140000*ln2^3*z5 - 36456000*ln2^2*sinf*z5 - 
    321342000*ln2*z2*z5 - 23478000*sinf*z2*z5 + 273525000*z3*z5 - 
    124661250*ln2*z7 - 76867875*sinf*z7)/18816000, 
 H[1, 0, 1, 1, 0, -1, 0, 1, 1] -> (906325*s8a - 1680000*s6*z2 - 519648*z2^4 - 
    54600*sinf*z2^2*z3 + 787500*z2*z3^2 + 3255000*ln2*z2*z5 + 
    1351000*sinf*z2*z5 - 204750*z3*z5 - 2075500*sinf*z7)/448000, 
 H[1, 0, 1, 1, 0, -1, 0, 0, 1] -> 
  (-2906925*s8a + 394892*z2^4 + 617400*sinf*z2^2*z3 + 525000*z2*z3^2 - 
    2814000*sinf*z2*z5 - 4688250*z3*z5 + 4331250*sinf*z7)/672000, 
 H[1, 0, 1, 1, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    74592000*ln2^2*s6 + 149184000*ln2*s7a + 149184000*ln2*s7b - 
    134183700*s8a - 53424000*s8b - 149184000*s8c + 149184000*s8d - 
    36288000*ln2*s6*sinf + 36288000*s7a*sinf + 36288000*s7b*sinf + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 351288000*s6*z2 - 
    169344000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    5644800*ln2^5*sinf*z2 + 162489600*li4half*z2^2 + 3242400*ln2^4*z2^2 + 
    28224000*ln2^3*sinf*z2^2 - 10785600*ln2^2*z2^3 + 6350400*ln2*sinf*z2^3 - 
    110018232*z2^4 - 2016000*li5half*z3 + 197568000*li4half*ln2*z3 + 
    8248800*ln2^5*z3 - 49560000*ln2^3*z2*z3 - 74088000*ln2^2*sinf*z2*z3 + 
    42411600*ln2*z2^2*z3 - 4788000*sinf*z2^2*z3 + 179676000*ln2^2*z3^2 - 
    10206000*ln2*sinf*z3^2 + 148160250*z2*z3^2 + 111856500*ln2*z2*z5 - 
    20380500*sinf*z2*z5 - 139694625*z3*z5 + 1146804750*ln2*z7 + 
    349917750*sinf*z7)/28224000, H[1, 0, 1, 1, 0, -1, -1, 1, 1] -> 
  (16464000*ln2^2*s6 - 21993825*s8a - 83496000*s8b - 20832000*s8c - 
    1344000*s8d + 3840000*ln2*s6*sinf - 3840000*s7a*sinf + 5568000*s7b*sinf + 
    7728000*s6*z2 - 10752000*li5half*sinf*z2 + 89600*ln2^5*sinf*z2 - 
    6720000*li4half*z2^2 - 280000*ln2^4*z2^2 - 896000*ln2^3*sinf*z2^2 - 
    5553600*ln2^2*z2^3 - 388800*ln2*sinf*z2^3 - 1836552*z2^4 + 
    24192000*li5half*z3 - 201600*ln2^5*z3 + 5376000*li4half*sinf*z3 + 
    224000*ln2^4*sinf*z3 + 2016000*ln2^3*z2*z3 + 420000*ln2^2*sinf*z2*z3 + 
    22692600*ln2*z2^2*z3 - 2911200*sinf*z2^2*z3 + 661500*ln2^2*z3^2 - 
    4800000*ln2*sinf*z3^2 + 21157500*z2*z3^2 - 4557000*ln2^3*z5 - 
    11067000*ln2^2*sinf*z5 + 66402000*ln2*z2*z5 - 7725000*sinf*z2*z5 - 
    42133875*z3*z5 + 27911250*sinf*z7)/2688000, 
 H[1, 0, 1, 1, 0, -1, -1, 0, 1] -> (-40775*s8a + 672000*s6*z2 + 131746*z2^4 - 
    38500*sinf*z2^2*z3 - 278250*z2*z3^2 - 1302000*ln2*z2*z5 - 
    22750*sinf*z2*z5 + 248500*z3*z5 + 127750*sinf*z7)/224000, 
 H[1, 0, 1, 1, 0, -1, -1, -1, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 
    1512000*ln2^2*s6 - 3024000*ln2*s7a + 18144000*ln2*s7b - 22824900*s8a - 
    89208000*s8b - 18144000*s8c - 3024000*s8d - 3744000*ln2*s6*sinf + 
    720000*s7a*sinf + 3744000*s7b*sinf + 1008000*li4half*ln2^2*z2 + 
    42000*ln2^6*z2 + 18144000*s6*z2 - 6048000*li5half*sinf*z2 - 
    6048000*li4half*ln2*sinf*z2 - 201600*ln2^5*sinf*z2 + 
    4132800*li4half*z2^2 + 46200*ln2^4*z2^2 + 1008000*ln2^3*sinf*z2^2 - 
    1638000*ln2^2*z2^3 + 655200*ln2*sinf*z2^3 - 3597984*z2^4 + 
    16632000*li5half*z3 + 7056000*li4half*ln2*z3 + 155400*ln2^5*z3 - 
    378000*ln2^3*z2*z3 - 2646000*ln2^2*sinf*z2*z3 + 11062800*ln2*z2^2*z3 - 
    723600*sinf*z2^2*z3 + 1197000*ln2^2*z3^2 - 1053000*ln2*sinf*z3^2 + 
    17892000*z2*z3^2 - 13671000*ln2^3*z5 - 2457000*ln2*z2*z5 - 
    9013500*sinf*z2*z5 - 32925375*z3*z5 + 114250500*ln2*z7 + 
    26251875*sinf*z7)/4032000, H[1, 0, 1, 1, -1, 1, 1, 1, 1] -> 
  (84672000*li4half^2 - 1072512000*li8half - 173600*ln2^8 + 
    189504000*ln2^2*s6 - 412227900*s8a - 147168000*s8b - 379008000*s8c + 
    379008000*s8d + 1072512000*li7half*sinf - 212800*ln2^7*sinf + 
    40320000*ln2*s6*sinf - 40320000*s7a*sinf - 54432000*s7b*sinf + 
    2508800*ln2^6*z2 - 758016000*s6*z2 - 564480000*li5half*sinf*z2 + 
    2116800*ln2^5*sinf*z2 + 211276800*li4half*z2^2 + 806400*ln2^4*z2^2 - 
    6350400*ln2^3*sinf*z2^2 - 64310400*ln2^2*z2^3 - 6300000*ln2*sinf*z2^3 - 
    109671264*z2^4 + 370944000*li5half*z3 - 4737600*ln2^5*z3 - 
    112896000*li4half*sinf*z3 - 6762000*ln2^4*sinf*z3 + 
    47376000*ln2^3*z2*z3 + 40572000*ln2^2*sinf*z2*z3 + 
    419277600*ln2*z2^2*z3 + 56750400*sinf*z2^2*z3 + 53298000*ln2^2*z3^2 - 
    50400000*ln2*sinf*z3^2 + 242802000*z2*z3^2 + 13671000*ln2^2*sinf*z5 + 
    1137024000*ln2*z2*z5 + 160335000*sinf*z2*z5 - 241321500*z3*z5 - 
    426974625*sinf*z7)/56448000, H[1, 0, 1, 1, -1, 1, 1, 0, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    73584000*ln2^2*s6 - 221317425*s8a - 2052792000*s8b - 147168000*s8c - 
    276192000*s8d - 677376000*li7half*sinf + 134400*ln2^7*sinf - 
    16128000*ln2*s6*sinf + 16128000*s7a*sinf + 199584000*s7b*sinf - 
    282240000*li6half*z2 - 392000*ln2^6*z2 + 764064000*s6*z2 + 
    112896000*li5half*sinf*z2 - 3763200*ln2^5*sinf*z2 - 
    144144000*li4half*z2^2 + 10458000*ln2^4*z2^2 - 6820800*ln2^3*sinf*z2^2 + 
    4737600*ln2^2*z2^3 + 12247200*ln2*sinf*z2^3 + 68811192*z2^4 + 
    326592000*li5half*z3 + 10584000*li4half*ln2*z3 - 2280600*ln2^5*z3 + 
    310464000*li4half*sinf*z3 + 12936000*ln2^4*sinf*z3 + 
    14280000*ln2^3*z2*z3 - 81144000*ln2^2*sinf*z2*z3 + 
    166685400*ln2*z2^2*z3 - 184564800*sinf*z2^2*z3 + 22239000*ln2^2*z3^2 + 
    23247000*ln2*sinf*z3^2 + 187771500*z2*z3^2 - 177723000*ln2^2*sinf*z5 + 
    441504000*ln2*z2*z5 - 579222000*sinf*z2*z5 - 168674625*z3*z5 + 
    1553446125*sinf*z7)/28224000, H[1, 0, 1, 1, -1, 1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 2032128000*li8half + 338688000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 169400*ln2^8 - 217728000*ln2^2*s6 + 
    36288000*ln2*s7a + 247968000*ln2*s7b + 215644275*s8a + 1144584000*s8b + 
    151200000*s8c - 24192000*s8d - 846720000*li7half*sinf + 
    56448000*li6half*ln2*sinf + 246400*ln2^7*sinf - 66528000*ln2*s6*sinf - 
    145152000*s7a*sinf + 306432000*s7b*sinf - 28224000*li6half*z2 - 
    2391200*ln2^6*z2 + 90720000*s6*z2 - 254016000*li4half*ln2*sinf*z2 - 
    8937600*ln2^5*sinf*z2 - 30240000*li4half*z2^2 + 10088400*ln2^4*z2^2 + 
    23284800*ln2^3*sinf*z2^2 + 68392800*ln2^2*z2^3 + 20160000*ln2*sinf*z2^3 - 
    92114856*z2^4 - 78624000*li5half*z3 + 444528000*li4half*ln2*z3 + 
    20823600*ln2^5*z3 + 169344000*li4half*sinf*z3 + 9114000*ln2^4*sinf*z3 - 
    134148000*ln2^3*z2*z3 - 54684000*ln2^2*sinf*z2*z3 - 
    411427800*ln2*z2^2*z3 - 157777200*sinf*z2^2*z3 + 74592000*ln2^2*z3^2 - 
    80451000*ln2*sinf*z3^2 - 179109000*z2*z3^2 - 205065000*ln2^3*z5 - 
    437472000*ln2^2*sinf*z5 - 1188621000*ln2*z2*z5 - 816354000*sinf*z2*z5 - 
    250354125*z3*z5 + 1153585125*ln2*z7 + 2197235250*sinf*z7)/56448000, 
 H[1, 0, 1, 1, -1, 1, 0, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 - 
    177408000*ln2^2*s6 + 271983600*s8a - 1113840000*s8b + 354816000*s8c - 
    608832000*s8d - 249984000*ln2*s6*sinf + 249984000*s7a*sinf - 
    328608000*s7b*sinf - 112896000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 
    1920800*ln2^6*z2 + 1302336000*s6*z2 + 790272000*li5half*sinf*z2 - 
    6585600*ln2^5*sinf*z2 + 26409600*li4half*z2^2 + 19328400*ln2^4*z2^2 + 
    55272000*ln2^3*sinf*z2^2 + 64159200*ln2^2*z2^3 + 
    113652000*ln2*sinf*z2^3 + 173324736*z2^4 - 362880000*li5half*z3 - 
    42336000*li4half*ln2*z3 + 1260000*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    2352000*ln2^4*sinf*z3 - 36120000*ln2^3*z2*z3 - 
    21168000*ln2^2*sinf*z2*z3 - 316663200*ln2*z2^2*z3 + 
    77187600*sinf*z2^2*z3 - 56070000*ln2^2*z3^2 + 300132000*ln2*sinf*z3^2 - 
    36792000*z2*z3^2 + 560511000*ln2^2*sinf*z5 - 1064448000*ln2*z2*z5 + 
    881055000*sinf*z2*z5 + 65835000*z3*z5 - 2564958375*sinf*z7)/56448000, 
 H[1, 0, 1, 1, -1, 1, 0, 0, 1] -> (-12600000*ln2^2*s6 + 40227600*s8a + 
    313068000*s8b + 25200000*s8c + 45360000*s8d + 22176000*ln2*s6*sinf - 
    22176000*s7a*sinf + 13104000*s7b*sinf + 56448000*li6half*z2 + 
    78400*ln2^6*z2 - 110712000*s6*z2 - 9408000*li5half*sinf*z2 + 
    78400*ln2^5*sinf*z2 + 25653600*li4half*z2^2 - 107100*ln2^4*z2^2 - 
    6076000*ln2^3*sinf*z2^2 - 894600*ln2^2*z2^3 - 193200*ln2*sinf*z2^3 - 
    19943454*z2^4 - 53088000*li5half*z3 - 10584000*li4half*ln2*z3 + 
    1400*ln2^5*z3 - 28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 - 
    1778000*ln2^3*z2*z3 + 4410000*ln2^2*sinf*z2*z3 - 22600200*ln2*z2^2*z3 - 
    3429300*sinf*z2^2*z3 - 5087250*ln2^2*z3^2 - 30807000*ln2*sinf*z3^2 - 
    45911250*z2*z3^2 - 34177500*ln2^2*sinf*z5 - 75600000*ln2*z2*z5 - 
    51282000*sinf*z2*z5 + 90326250*z3*z5 + 124947375*sinf*z7)/4704000, 
 H[1, 0, 1, 1, -1, 1, 0, -1, 1] -> 
  (-254016000*li4half^2 - 13547520000*li8half - 5419008000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 21168000*li4half*ln2^4 - 642600*ln2^8 + 
    2452464000*ln2^2*s6 - 1239840000*ln2*s7a + 961632000*ln2*s7b - 
    4513263300*s8a - 29514240000*s8b - 2721600000*s8c - 3205440000*s8d - 
    5419008000*li7half*sinf - 1354752000*li6half*ln2*sinf - 
    806400*ln2^7*sinf + 729792000*ln2*s6*sinf - 1026144000*s7a*sinf + 
    963648000*s7b*sinf + 620928000*li6half*z2 + 84672000*li4half*ln2^2*z2 + 
    5331200*ln2^6*z2 + 9501408000*s6*z2 + 874944000*li5half*sinf*z2 + 
    254016000*li4half*ln2*sinf*z2 + 8937600*ln2^5*sinf*z2 - 
    86486400*li4half*z2^2 - 21831600*ln2^4*z2^2 - 86553600*ln2^3*sinf*z2^2 - 
    757310400*ln2^2*z2^3 - 216417600*ln2*sinf*z2^3 + 889445232*z2^4 + 
    4851504000*li5half*z3 - 846720000*li4half*ln2*z3 - 75709200*ln2^5*z3 - 
    395136000*li4half*sinf*z3 - 16464000*ln2^4*sinf*z3 + 
    607740000*ln2^3*z2*z3 - 51156000*ln2^2*sinf*z2*z3 + 
    3494408400*ln2*z2^2*z3 - 148453200*sinf*z2^2*z3 - 1062117000*ln2^2*z3^2 - 
    1072764000*ln2*sinf*z3^2 + 3180744000*z2*z3^2 - 2132676000*ln2^3*z5 - 
    1927611000*ln2^2*sinf*z5 + 5271210000*ln2*z2*z5 - 3843252000*sinf*z2*z5 - 
    3669545250*z3*z5 + 9833882625*ln2*z7 + 9878667750*sinf*z7)/56448000, 
 H[1, 0, 1, 1, -1, 1, -1, 1, 1] -> (63504000*li4half^2 + 620928000*li8half - 
    49392000*li6half*ln2^2 - 14112000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    248150*ln2^8 - 57204000*ln2^2*s6 + 196314300*s8a + 925092000*s8b + 
    103824000*s8c + 76104000*s8d - 56448000*li7half*sinf - 
    21168000*li5half*ln2^2*sinf + 187600*ln2^7*sinf + 59976000*ln2*s6*sinf - 
    59976000*s7a*sinf - 49392000*s7b*sinf + 49392000*li6half*z2 + 
    42336000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 3067400*ln2^6*z2 - 
    236880000*s6*z2 + 63504000*li5half*sinf*z2 + 63504000*li4half*ln2*sinf*
     z2 + 2763600*ln2^5*sinf*z2 + 6753600*li4half*z2^2 + 7881300*ln2^4*z2^2 - 
    17404800*ln2^3*sinf*z2^2 + 14956200*ln2^2*z2^3 - 11692800*ln2*sinf*z2^3 - 
    65187882*z2^4 - 310968000*li5half*z3 + 10584000*li4half*ln2*z3 + 
    3444000*ln2^5*z3 - 68796000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 - 
    32676000*ln2^3*z2*z3 + 77616000*ln2^2*sinf*z2*z3 - 
    129584700*ln2*z2^2*z3 + 50185800*sinf*z2^2*z3 - 22648500*ln2^2*z3^2 - 
    71883000*ln2*sinf*z3^2 - 103446000*z2*z3^2 - 20506500*ln2^3*z5 - 
    41013000*ln2^2*sinf*z5 - 249952500*ln2*z2*z5 + 196024500*sinf*z2*z5 + 
    190882125*z3*z5 - 484659000*sinf*z7)/14112000, 
 H[1, 0, 1, 1, -1, 1, -1, 0, 1] -> (-322560*ln2^2*s6 + 1113210*s8a + 
    10644480*s8b + 645120*s8c + 1733760*s8d + 4515840*li7half*sinf - 
    896*ln2^7*sinf - 1284480*ln2*s6*sinf + 1284480*s7a*sinf + 
    115200*s7b*sinf - 403200*li6half*z2 - 725760*li5half*ln2*z2 + 
    120960*li4half*ln2^2*z2 + 10528*ln2^6*z2 - 4475520*s6*z2 - 
    725760*li5half*sinf*z2 + 24864*ln2^5*sinf*z2 + 189504*li4half*z2^2 - 
    127344*ln2^4*z2^2 + 67872*ln2^3*sinf*z2^2 + 221760*ln2^2*z2^3 + 
    341280*ln2*sinf*z2^3 + 5112*z2^4 - 1713600*li5half*z3 - 
    483840*li4half*ln2*z3 - 5880*ln2^5*z3 + 725760*li4half*sinf*z3 + 
    30240*ln2^4*sinf*z3 + 36960*ln2^3*z2*z3 - 267120*ln2^2*sinf*z2*z3 - 
    1084608*ln2*z2^2*z3 - 571896*sinf*z2^2*z3 - 161280*ln2^2*z3^2 + 
    1464480*ln2*sinf*z3^2 - 1331820*z2*z3^2 + 1132740*ln2^2*sinf*z5 - 
    2989980*ln2*z2*z5 - 726480*sinf*z2*z5 + 3082275*z3*z5 + 51120*sinf*z7)/
   161280, H[1, 0, 1, 1, -1, 1, -1, -1, 1] -> 
  (-254016000*li4half^2 - 4007808000*li8half - 677376000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 56448000*li5half*ln2^3 - 
    28224000*li4half*ln2^4 - 1013600*ln2^8 + 617904000*ln2^2*s6 - 
    247968000*ln2*s7a + 6048000*ln2*s7b - 1259916525*s8a - 8043336000*s8b - 
    655200000*s8c - 939456000*s8d - 564480000*li7half*sinf - 
    169344000*li6half*ln2*sinf + 84672000*li5half*ln2^2*sinf - 
    828800*ln2^7*sinf + 137088000*ln2*s6*sinf - 94752000*s7a*sinf - 
    10080000*s7b*sinf + 84672000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 11956000*ln2^6*z2 + 2655072000*s6*z2 + 
    254016000*li5half*sinf*z2 - 3763200*ln2^5*sinf*z2 + 
    231235200*li4half*z2^2 - 19941600*ln2^4*z2^2 + 31987200*ln2^3*sinf*z2^2 - 
    297057600*ln2^2*z2^3 - 16380000*ln2*sinf*z2^3 + 257053176*z2^4 + 
    1455552000*li5half*z3 - 486864000*li4half*ln2*z3 - 34062000*ln2^5*z3 - 
    190512000*li4half*sinf*z3 - 9996000*ln2^4*sinf*z3 + 
    259476000*ln2^3*z2*z3 - 183456000*ln2^2*sinf*z2*z3 + 
    1174836600*ln2*z2^2*z3 + 69930000*sinf*z2^2*z3 - 151893000*ln2^2*z3^2 - 
    63315000*ln2*sinf*z3^2 + 790839000*z2*z3^2 - 164052000*ln2^3*z5 + 
    41013000*ln2^2*sinf*z5 + 1816857000*ln2*z2*z5 - 469161000*sinf*z2*z5 - 
    1032152625*z3*z5 + 989344125*ln2*z7 + 863029125*sinf*z7)/56448000, 
 H[1, 0, 1, 1, -1, 0, 1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    19152000*ln2^2*s6 + 59030475*s8a - 97272000*s8b + 38304000*s8c - 
    38304000*s8d - 48384000*ln2*s6*sinf + 48384000*s7a*sinf - 
    17472000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 
    76608000*s6*z2 + 75264000*li5half*sinf*z2 - 627200*ln2^5*sinf*z2 - 
    68342400*li4half*z2^2 - 4611600*ln2^4*z2^2 + 6272000*ln2^3*sinf*z2^2 + 
    29736000*ln2^2*z2^3 + 17976000*ln2*sinf*z2^3 + 18325656*z2^4 - 
    36288000*li5half*z3 + 7056000*li4half*ln2*z3 + 596400*ln2^5*z3 + 
    56448000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 - 4788000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 - 62836200*ln2*z2^2*z3 - 
    20437200*sinf*z2^2*z3 - 4357500*ln2^2*z3^2 + 62538000*ln2*sinf*z3^2 - 
    25567500*z2*z3^2 + 63798000*ln2^2*sinf*z5 - 114912000*ln2*z2*z5 + 
    83958000*sinf*z2*z5 + 148456875*z3*z5 - 219565500*sinf*z7)/18816000, 
 H[1, 0, 1, 1, -1, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    6048000*ln2^2*s6 + 4439925*s8a + 118608000*s8b - 12096000*s8c + 
    12096000*s8d + 40320000*ln2*s6*sinf - 40320000*s7a*sinf - 
    40320000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    73584000*s6*z2 - 37632000*li5half*sinf*z2 + 313600*ln2^5*sinf*z2 - 
    32625600*li4half*z2^2 + 2168600*ln2^4*z2^2 - 3136000*ln2^3*sinf*z2^2 + 
    6946800*ln2^2*z2^3 - 33129600*ln2*sinf*z2^3 + 6938908*z2^4 + 
    13440000*li5half*z3 + 42336000*li4half*ln2*z3 + 1652000*ln2^5*z3 - 
    94080000*li4half*sinf*z3 - 3920000*ln2^4*sinf*z3 - 9464000*ln2^3*z2*z3 + 
    34104000*ln2^2*sinf*z2*z3 - 7933800*ln2*z2^2*z3 + 50605800*sinf*z2^2*z3 + 
    7875000*ln2^2*z3^2 - 38052000*ln2*sinf*z3^2 + 25609500*z2*z3^2 + 
    36288000*ln2*z2*z5 + 156513000*sinf*z2*z5 - 104703375*z3*z5 - 
    255903375*sinf*z7)/9408000, H[1, 0, 1, 1, -1, 0, 1, -1, 1] -> 
  (141120000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 11760000*li4half*ln2^4 + 312200*ln2^8 - 
    800688000*ln2^2*s6 + 403872000*ln2*s7a - 593376000*ln2*s7b + 
    1732448550*s8a + 10834992000*s8b + 1108800000*s8c + 1092672000*s8d + 
    1806336000*li7half*sinf + 451584000*li6half*ln2*sinf + 
    268800*ln2^7*sinf - 45696000*ln2*s6*sinf + 360864000*s7a*sinf - 
    532896000*s7b*sinf - 225792000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 509600*ln2^6*z2 - 3443664000*s6*z2 - 
    178752000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    3136000*ln2^5*sinf*z2 + 50601600*li4half*z2^2 - 831600*ln2^4*z2^2 - 
    548800*ln2^3*sinf*z2^2 + 179709600*ln2^2*z2^3 - 4317600*ln2*sinf*z2^3 - 
    290081832*z2^4 - 1816080000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    14840000*ln2^5*z3 + 18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 - 
    137228000*ln2^3*z2*z3 + 42924000*ln2^2*sinf*z2*z3 - 
    1120341600*ln2*z2^2*z3 + 145504800*sinf*z2^2*z3 + 303198000*ln2^2*z3^2 + 
    359646000*ln2*sinf*z3^2 - 1214976000*z2*z3^2 + 966084000*ln2^3*z5 + 
    865830000*ln2^2*sinf*z5 - 1562337000*ln2*z2*z5 + 1796172000*sinf*z2*z5 + 
    1529561250*z3*z5 - 4691880375*ln2*z7 - 4372879875*sinf*z7)/18816000, 
 H[1, 0, 1, 1, -1, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    13104000*ln2^2*s6 - 52743075*s8a + 21000000*s8b - 26208000*s8c + 
    26208000*s8d + 16128000*ln2*s6*sinf - 16128000*s7a*sinf + 
    30912000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 
    50064000*s6*z2 - 37632000*li5half*sinf*z2 + 313600*ln2^5*sinf*z2 + 
    40051200*li4half*z2^2 - 95200*ln2^4*z2^2 - 3136000*ln2^3*sinf*z2^2 - 
    16161600*ln2^2*z2^3 - 1680000*ln2*sinf*z2^3 - 8325152*z2^4 + 
    41664000*li5half*z3 - 21168000*li4half*ln2*z3 - 1229200*ln2^5*z3 - 
    9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 + 8764000*ln2^3*z2*z3 - 
    2940000*ln2^2*sinf*z2*z3 + 38106600*ln2*z2^2*z3 - 1478400*sinf*z2^2*z3 + 
    598500*ln2^2*z3^2 - 26334000*ln2*sinf*z3^2 + 10395000*z2*z3^2 - 
    45570000*ln2^2*sinf*z5 + 78624000*ln2*z2*z5 - 145341000*sinf*z2*z5 - 
    64351875*z3*z5 + 290540250*sinf*z7)/9408000, 
 H[1, 0, 1, 1, -1, 0, 0, 0, 1] -> (-2688000*ln2^2*s6 + 6198675*s8a - 
    30240000*s8b + 5376000*s8c - 5376000*s8d - 13440000*ln2*s6*sinf + 
    13440000*s7a*sinf - 5376000*s7b*sinf + 22512000*s6*z2 - 
    14481600*li4half*z2^2 - 603400*ln2^4*z2^2 + 6510000*ln2^2*z2^3 + 
    537600*ln2*sinf*z2^3 + 5842108*z2^4 - 8064000*li5half*z3 + 
    67200*ln2^5*z3 + 18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 - 
    672000*ln2^3*z2*z3 - 4704000*ln2^2*sinf*z2*z3 - 9034200*ln2*z2^2*z3 + 
    457800*sinf*z2^2*z3 - 756000*ln2^2*z3^2 + 16800000*ln2*sinf*z3^2 - 
    3517500*z2*z3^2 + 18228000*ln2^2*sinf*z5 - 16128000*ln2*z2*z5 + 
    29757000*sinf*z2*z5 + 16009875*z3*z5 - 64173375*sinf*z7)/4704000, 
 H[1, 0, 1, 1, -1, 0, 0, -1, 1] -> (-9408000*ln2^2*s6 + 12096000*ln2*s7a + 
    68544000*ln2*s7b - 42709800*s8a - 30912000*s8b - 61824000*s8c + 
    61824000*s8d - 26880000*ln2*s6*sinf - 29568000*s7a*sinf + 
    92736000*s7b*sinf - 94248000*s6*z2 - 75264000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 548800*ln2^5*sinf*z2 - 
    1982400*li4half*z2^2 - 82600*ln2^4*z2^2 + 784000*ln2^3*sinf*z2^2 + 
    19756800*ln2^2*z2^3 + 14750400*ln2*sinf*z2^3 - 18583228*z2^4 + 
    12768000*li5half*z3 + 70560000*li4half*ln2*z3 + 2833600*ln2^5*z3 + 
    25872000*li4half*sinf*z3 + 1078000*ln2^4*sinf*z3 - 16576000*ln2^3*z2*z3 - 
    1176000*ln2^2*sinf*z2*z3 - 17316600*ln2*z2^2*z3 - 33717600*sinf*z2^2*z3 + 
    24108000*ln2^2*z3^2 - 36372000*ln2*sinf*z3^2 + 34571250*z2*z3^2 - 
    54684000*ln2^3*z5 - 118482000*ln2^2*sinf*z5 - 17640000*ln2*z2*z5 - 
    209569500*sinf*z2*z5 - 19905375*z3*z5 + 372639750*ln2*z7 + 
    472773000*sinf*z7)/9408000, H[1, 0, 1, 1, -1, 0, -1, 1, 1] -> 
  (-296352000*li4half^2 - 2257920000*li8half + 338688000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 - 24696000*li4half*ln2^4 - 727300*ln2^8 + 
    167832000*ln2^2*s6 - 599698575*s8a - 4168584000*s8b - 116928000*s8c - 
    701568000*s8d - 1354752000*li7half*sinf + 112896000*li5half*ln2^2*sinf - 
    672000*ln2^7*sinf + 44352000*ln2*s6*sinf - 44352000*s7a*sinf + 
    308448000*s7b*sinf - 338688000*li6half*z2 - 310464000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 3782800*ln2^6*z2 + 1703016000*s6*z2 + 
    451584000*li5half*sinf*z2 - 127008000*li4half*ln2*sinf*z2 - 
    5292000*ln2^5*sinf*z2 + 120052800*li4half*z2^2 - 583800*ln2^4*z2^2 + 
    16111200*ln2^3*sinf*z2^2 - 21672000*ln2^2*z2^3 + 11340000*ln2*sinf*z2^3 + 
    337843008*z2^4 + 761040000*li5half*z3 - 84672000*li4half*ln2*z3 - 
    9870000*ln2^5*z3 + 24696000*li4half*sinf*z3 + 1029000*ln2^4*sinf*z3 + 
    66066000*ln2^3*z2*z3 - 175518000*ln2^2*sinf*z2*z3 + 
    268707600*ln2*z2^2*z3 - 120519000*sinf*z2^2*z3 - 20711250*ln2^2*z3^2 - 
    80136000*ln2*sinf*z3^2 + 316685250*z2*z3^2 - 22785000*ln2^3*z5 - 
    375952500*ln2^2*sinf*z5 + 434353500*ln2*z2*z5 - 1557643500*sinf*z2*z5 - 
    478737000*z3*z5 + 3351576375*sinf*z7)/28224000, 
 H[1, 0, 1, 1, -1, 0, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    11424000*ln2^2*s6 + 38426850*s8a - 9744000*s8b + 22848000*s8c - 
    22848000*s8d + 49728000*ln2*s6*sinf - 49728000*s7a*sinf - 
    87360000*s7b*sinf + 338688000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 + 166824000*s6*z2 - 
    50198400*li4half*z2^2 + 3788400*ln2^4*z2^2 - 1806000*ln2^2*z2^3 - 
    19135200*ln2*sinf*z2^3 - 34371364*z2^4 - 29568000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 2598400*ln2^5*z3 - 79968000*li4half*sinf*z3 - 
    3332000*ln2^4*sinf*z3 - 16576000*ln2^3*z2*z3 + 
    34104000*ln2^2*sinf*z2*z3 - 27421800*ln2*z2^2*z3 + 
    72567600*sinf*z2^2*z3 + 5019000*ln2^2*z3^2 - 45696000*ln2*sinf*z3^2 - 
    48336750*z2*z3^2 + 36456000*ln2^2*sinf*z5 - 102721500*ln2*z2*z5 + 
    322255500*sinf*z2*z5 - 9725625*z3*z5 - 669947250*sinf*z7)/9408000, 
 H[1, 0, 1, 1, -1, 0, -1, -1, 1] -> 
  (169344000*li4half^2 - 4515840000*li8half - 2709504000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 406000*ln2^8 + 661248000*ln2^2*s6 - 
    447552000*ln2*s7a + 596736000*ln2*s7b - 1301153175*s8a - 8525664000*s8b - 
    949536000*s8c - 687456000*s8d - 1354752000*li7half*sinf - 
    677376000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    268800*ln2^7*sinf - 33264000*ln2*s6*sinf - 270144000*s7a*sinf + 
    364896000*s7b*sinf + 338688000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 4312000*ln2^6*z2 + 2345112000*s6*z2 + 
    56448000*li5half*sinf*z2 + 127008000*li4half*ln2*sinf*z2 + 
    3880800*ln2^5*sinf*z2 - 344937600*li4half*z2^2 - 1436400*ln2^4*z2^2 - 
    27048000*ln2^3*sinf*z2^2 - 83084400*ln2^2*z2^3 - 36338400*ln2*sinf*z2^3 + 
    264897072*z2^4 + 1283184000*li5half*z3 + 84672000*li4half*ln2*z3 - 
    7165200*ln2^5*z3 + 10584000*li4half*sinf*z3 + 441000*ln2^4*sinf*z3 + 
    85764000*ln2^3*z2*z3 + 111132000*ln2^2*sinf*z2*z3 + 
    752472000*ln2*z2^2*z3 - 107289000*sinf*z2^2*z3 - 358879500*ln2^2*z3^2 - 
    253228500*ln2*sinf*z3^2 + 975318750*z2*z3^2 - 988869000*ln2^3*z5 - 
    581017500*ln2^2*sinf*z5 + 1028884500*ln2*z2*z5 - 1033735500*sinf*z2*z5 - 
    663185250*z3*z5 + 5270989500*ln2*z7 + 2866807125*sinf*z7)/28224000, 
 H[1, 0, 1, 1, -1, -1, 1, 1, 1] -> 
  (-254016000*li4half^2 + 225792000*li8half + 56448000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 270200*ln2^8 + 47376000*ln2^2*s6 - 
    103056975*s8a - 36792000*s8b - 94752000*s8c + 94752000*s8d + 
    959616000*li7half*sinf + 28224000*li4half*ln2^3*sinf + 
    985600*ln2^7*sinf - 298368000*ln2*s6*sinf + 298368000*s7a*sinf - 
    308448000*s7b*sinf - 169344000*li5half*ln2*z2 - 1097600*ln2^6*z2 - 
    189504000*s6*z2 - 84672000*li4half*ln2*sinf*z2 - 6585600*ln2^5*sinf*z2 + 
    27417600*li4half*z2^2 - 1444800*ln2^4*z2^2 + 59505600*ln2^3*sinf*z2^2 - 
    21016800*ln2^2*z2^3 + 90972000*ln2*sinf*z2^3 - 34191576*z2^4 + 
    106848000*li5half*z3 - 21168000*li4half*ln2*z3 - 126000*ln2^5*z3 + 
    148176000*li4half*sinf*z3 + 8232000*ln2^4*sinf*z3 + 
    10080000*ln2^3*z2*z3 - 37044000*ln2^2*sinf*z2*z3 + 
    128633400*ln2*z2^2*z3 + 40168800*sinf*z2^2*z3 + 10237500*ln2^2*z3^2 + 
    366786000*ln2*sinf*z3^2 + 63787500*z2*z3^2 - 13671000*ln2^3*z5 + 
    587853000*ln2^2*sinf*z5 + 325269000*ln2*z2*z5 + 925029000*sinf*z2*z5 - 
    132103125*z3*z5 - 2371012875*sinf*z7)/56448000, 
 H[1, 0, 1, 1, -1, -1, 1, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 + 
    3628800*ln2^2*s6 + 31833900*s8a + 27417600*s8b - 7257600*s8c + 
    7257600*s8d + 90316800*li7half*sinf - 17920*ln2^7*sinf + 
    6451200*ln2*s6*sinf - 6451200*s7a*sinf - 20563200*s7b*sinf - 
    90316800*li6half*z2 + 33868800*li5half*ln2*z2 - 407680*ln2^6*z2 - 
    76608000*s6*z2 - 45158400*li5half*sinf*z2 + 16934400*li4half*ln2*sinf*
     z2 + 1458240*ln2^5*sinf*z2 - 67979520*li4half*z2^2 - 
    4478880*ln2^4*z2^2 - 2304960*ln2^3*sinf*z2^2 + 24454080*ln2^2*z2^3 - 
    11904480*ln2*sinf*z2^3 + 10276344*z2^4 + 8064000*li5half*z3 + 
    55036800*li4half*ln2*z3 + 2226000*ln2^5*z3 - 11289600*li4half*sinf*z3 - 
    470400*ln2^4*sinf*z3 - 8971200*ln2^3*z2*z3 + 19051200*ln2^2*sinf*z2*z3 - 
    30673440*ln2*z2^2*z3 + 5171040*sinf*z2^2*z3 + 9046800*ln2^2*z3^2 + 
    7988400*ln2*sinf*z3^2 + 17438400*z2*z3^2 + 13671000*ln2^2*sinf*z5 + 
    13570200*ln2*z2*z5 + 132287400*sinf*z2*z5 + 39192300*z3*z5 - 
    235404225*sinf*z7)/11289600, H[1, 0, 1, 1, -1, -1, 1, -1, 1] -> 
  (254016000*li4half^2 + 1072512000*li8half + 564480000*li7half*ln2 + 
    84672000*li6half*ln2^2 - 56448000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    232400*ln2^8 - 314496000*ln2^2*s6 + 112896000*ln2*s7a - 
    381024000*ln2*s7b + 961367400*s8a + 4562208000*s8b + 572544000*s8c + 
    457632000*s8d - 282240000*li7half*sinf + 169344000*li6half*ln2*sinf - 
    28224000*li4half*ln2^3*sinf - 884800*ln2^7*sinf + 237888000*ln2*s6*sinf - 
    68544000*s7a*sinf - 26208000*s7b*sinf - 84672000*li6half*z2 + 
    169344000*li5half*ln2*z2 + 666400*ln2^6*z2 - 1515024000*s6*z2 - 
    169344000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    7996800*ln2^5*sinf*z2 - 276796800*li4half*z2^2 - 9945600*ln2^4*z2^2 - 
    65150400*ln2^3*sinf*z2^2 + 210168000*ln2^2*z2^3 - 
    146008800*ln2*sinf*z2^3 - 40026096*z2^4 - 661248000*li5half*z3 + 
    127008000*li4half*ln2*z3 + 9156000*ln2^5*z3 + 127008000*li4half*sinf*z3 + 
    3234000*ln2^4*sinf*z3 - 82740000*ln2^3*z2*z3 + 
    74088000*ln2^2*sinf*z2*z3 - 640609200*ln2*z2^2*z3 - 
    57909600*sinf*z2^2*z3 + 101398500*ln2^2*z3^2 - 4095000*ln2*sinf*z3^2 - 
    665122500*z2*z3^2 + 492156000*ln2^3*z5 - 41013000*ln2^2*sinf*z5 - 
    623952000*ln2*z2*z5 + 399798000*sinf*z2*z5 + 1287893250*z3*z5 - 
    2713528125*ln2*z7 - 132937875*sinf*z7)/56448000, 
 H[1, 0, 1, 1, -1, -1, 0, 1, 1] -> 
  (254016000*li4half^2 + 21168000*li4half*ln2^4 + 441000*ln2^8 + 
    17136000*ln2^2*s6 + 25907175*s8a + 819000000*s8b - 34272000*s8c + 
    203616000*s8d + 225792000*ln2*s6*sinf - 225792000*s7a*sinf + 
    254016000*s7b*sinf + 451584000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 - 431200*ln2^6*z2 - 421344000*s6*z2 - 
    225792000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    8937600*ln2^5*sinf*z2 - 69350400*li4half*z2^2 - 10533600*ln2^4*z2^2 - 
    54096000*ln2^3*sinf*z2^2 - 43596000*ln2^2*z2^3 - 19051200*ln2*sinf*z2^3 - 
    107118072*z2^4 - 167328000*li5half*z3 - 105840000*li4half*ln2*z3 - 
    3015600*ln2^5*z3 - 105840000*li4half*sinf*z3 - 4410000*ln2^4*sinf*z3 + 
    28980000*ln2^3*z2*z3 + 24696000*ln2^2*sinf*z2*z3 + 47262600*ln2*z2^2*z3 - 
    24343200*sinf*z2^2*z3 - 10615500*ln2^2*z3^2 - 313110000*ln2*sinf*z3^2 - 
    37579500*z2*z3^2 - 464814000*ln2^2*sinf*z5 + 20790000*ln2*z2*z5 - 
    686196000*sinf*z2*z5 + 60755625*z3*z5 + 1391024250*sinf*z7)/56448000, 
 H[1, 0, 1, 1, -1, -1, 0, 0, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    38304000*ln2^2*s6 - 131033700*s8a - 634536000*s8b - 76608000*s8c - 
    64512000*s8d - 52416000*ln2*s6*sinf + 52416000*s7a*sinf - 
    4032000*s7b*sinf - 112896000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 
    1607200*ln2^6*z2 + 181944000*s6*z2 + 56448000*li5half*sinf*z2 - 
    470400*ln2^5*sinf*z2 + 41428800*li4half*z2^2 - 1213800*ln2^4*z2^2 + 
    15288000*ln2^3*sinf*z2^2 - 24897600*ln2^2*z2^3 + 20160000*ln2*sinf*z2^3 + 
    11281608*z2^4 + 136080000*li5half*z3 - 42336000*li4half*ln2*z3 - 
    2898000*ln2^5*z3 + 59976000*li4half*sinf*z3 + 2499000*ln2^4*sinf*z3 + 
    21924000*ln2^3*z2*z3 - 25578000*ln2^2*sinf*z2*z3 + 
    113059800*ln2*z2^2*z3 - 17186400*sinf*z2^2*z3 + 4599000*ln2^2*z3^2 + 
    53172000*ln2*sinf*z3^2 + 98579250*z2*z3^2 + 54684000*ln2^2*sinf*z5 + 
    229824000*ln2*z2*z5 - 53865000*sinf*z2*z5 - 199875375*z3*z5 + 
    24538500*sinf*z7)/14112000, H[1, 0, 1, 1, -1, -1, 0, -1, 1] -> 
  (1505280000*li8half + 602112000*li7half*ln2 + 75264000*li6half*ln2^2 + 
    22400*ln2^8 - 251328000*ln2^2*s6 + 129696000*ln2*s7a - 67872000*ln2*s7b + 
    398816775*s8a + 2802912000*s8b + 266784000*s8c + 278880000*s8d + 
    602112000*li7half*sinf + 150528000*li6half*ln2*sinf + 89600*ln2^7*sinf - 
    70560000*ln2*s6*sinf + 94080000*s7a*sinf - 89376000*s7b*sinf - 
    37632000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 836472000*s6*z2 - 
    37632000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    1489600*ln2^5*sinf*z2 + 80472000*li4half*z2^2 + 2961000*ln2^4*z2^2 + 
    14582400*ln2^3*sinf*z2^2 + 46653600*ln2^2*z2^3 + 49072800*ln2*sinf*z2^3 - 
    110957376*z2^4 - 496608000*li5half*z3 + 42336000*li4half*ln2*z3 + 
    5902400*ln2^5*z3 - 7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 
    50596000*ln2^3*z2*z3 - 16464000*ln2^2*sinf*z2*z3 - 
    305398800*ln2*z2^2*z3 + 31458000*sinf*z2^2*z3 + 106302000*ln2^2*z3^2 + 
    80997000*ln2*sinf*z3^2 - 291742500*z2*z3^2 + 191394000*ln2^3*z5 + 
    177723000*ln2^2*sinf*z5 - 601639500*ln2*z2*z5 + 278565000*sinf*z2*z5 + 
    245681625*z3*z5 - 785132250*ln2*z7 - 959781375*sinf*z7)/9408000, 
 H[1, 0, 1, 1, -1, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 545664000*li8half + 28224000*li6half*ln2^2 - 
    12544000*li5half*ln2^3 - 11760000*li4half*ln2^4 - 310800*ln2^8 + 
    80304000*ln2^2*s6 - 217187775*s8a - 1165752000*s8b - 104160000*s8c - 
    145152000*s8d - 225792000*li7half*sinf + 9408000*li5half*ln2^2*sinf - 
    9408000*li4half*ln2^3*sinf - 425600*ln2^7*sinf + 39648000*ln2*s6*sinf - 
    39648000*s7a*sinf + 101472000*s7b*sinf - 28224000*li6half*z2 - 
    18816000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 2391200*ln2^6*z2 + 
    386736000*s6*z2 + 47040000*li5half*sinf*z2 + 627200*ln2^5*sinf*z2 + 
    9072000*li4half*z2^2 - 4737600*ln2^4*z2^2 - 5252800*ln2^3*sinf*z2^2 - 
    28291200*ln2^2*z2^3 + 5292000*ln2*sinf*z2^3 + 61884096*z2^4 + 
    224448000*li5half*z3 - 49392000*li4half*ln2*z3 - 4477200*ln2^5*z3 - 
    11760000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 + 32424000*ln2^3*z2*z3 - 
    35868000*ln2^2*sinf*z2*z3 + 151153800*ln2*z2^2*z3 - 
    27115200*sinf*z2^2*z3 + 976500*ln2^2*z3^2 - 63966000*ln2*sinf*z3^2 + 
    142726500*z2*z3^2 + 7595000*ln2^3*z5 - 132153000*ln2^2*sinf*z5 + 
    303366000*ln2*z2*z5 - 416409000*sinf*z2*z5 - 250070625*z3*z5 + 
    855259125*sinf*z7)/18816000, H[1, 0, 1, 1, -1, -1, -1, 0, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 + 
    504000*ln2^2*s6 - 3768975*s8a - 74004000*s8b - 1008000*s8c - 
    14280000*s8d - 56448000*li7half*sinf + 11200*ln2^7*sinf + 
    10248000*ln2*s6*sinf - 10248000*s7a*sinf - 6720000*s7b*sinf + 
    49392000*li6half*z2 - 7056000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 460600*ln2^6*z2 + 64428000*s6*z2 + 
    7056000*li5half*sinf*z2 - 7056000*li4half*ln2*sinf*z2 - 
    588000*ln2^5*sinf*z2 - 974400*li4half*z2^2 + 2972900*ln2^4*z2^2 - 
    176400*ln2^3*sinf*z2^2 - 4972800*ln2^2*z2^3 - 5434800*ln2*sinf*z2^3 - 
    3900906*z2^4 + 15036000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    462700*ln2^5*z3 - 2940000*li4half*sinf*z3 - 122500*ln2^4*sinf*z3 - 
    3990000*ln2^3*z2*z3 + 3234000*ln2^2*sinf*z2*z3 + 2114700*ln2*z2^2*z3 + 
    5680500*sinf*z2^2*z3 + 2199750*ln2^2*z3^2 - 8694000*ln2*sinf*z3^2 - 
    4830000*z2*z3^2 - 3417750*ln2^2*sinf*z5 + 9859500*ln2*z2*z5 + 
    25179000*sinf*z2*z5 - 16655625*z3*z5 - 18453750*sinf*z7)/4704000, 
 H[1, 0, 1, 1, -1, -1, -1, -1, 1] -> 
  (84672000*li4half^2 + 903168000*li8half - 225792000*li7half*ln2 - 
    112896000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    35280000*li4half*ln2^4 + 919800*ln2^8 - 122976000*ln2^2*s6 - 
    34272000*ln2*s7a + 276192000*ln2*s7b + 81997650*s8a + 1018080000*s8b + 
    4032000*s8c + 179424000*s8d + 564480000*li7half*sinf - 
    56448000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf + 
    28224000*li4half*ln2^3*sinf + 1220800*ln2^7*sinf - 
    211680000*ln2*s6*sinf + 70560000*s7a*sinf - 14112000*s7b*sinf + 
    28224000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 6860000*ln2^6*z2 - 380016000*s6*z2 - 
    28224000*li5half*sinf*z2 - 2822400*ln2^5*sinf*z2 - 
    31852800*li4half*z2^2 + 13196400*ln2^4*z2^2 + 25636800*ln2^3*sinf*z2^2 + 
    47325600*ln2^2*z2^3 + 88452000*ln2*sinf*z2^3 - 85586976*z2^4 - 
    288288000*li5half*z3 + 169344000*li4half*ln2*z3 + 11104800*ln2^5*z3 + 
    2058000*ln2^4*sinf*z3 - 70476000*ln2^3*z2*z3 + 
    42336000*ln2^2*sinf*z2*z3 - 236098800*ln2*z2^2*z3 + 
    11289600*sinf*z2^2*z3 - 36130500*ln2^2*z3^2 + 63945000*ln2*sinf*z3^2 - 
    36319500*z2*z3^2 - 323547000*ln2^3*z5 + 68355000*ln2^2*sinf*z5 - 
    819441000*ln2*z2*z5 + 101430000*sinf*z2*z5 + 19656000*z3*z5 + 
    1712993625*ln2*z7 - 649758375*sinf*z7)/56448000, 
 H[1, 0, 1, 0, 1, 1, 1, 1, 1] -> (42*z2^4 + 20*sinf*z2^2*z3 + 
    125*sinf*z2*z5 - 250*z3*z5 - 275*sinf*z7)/25, 
 H[1, 0, 1, 0, 1, 1, 1, 0, 1] -> 
  (92400*s8a - 90976*z2^4 - 29400*sinf*z2^2*z3 - 126000*z2*z3^2 - 
    126000*sinf*z2*z5 + 714000*z3*z5 + 301875*sinf*z7)/42000, 
 H[1, 0, 1, 0, 1, 1, 1, -1, 1] -> (-14112000*li4half^2 + 1128960000*li8half + 
    451584000*li7half*ln2 + 56448000*li6half*ln2^2 - 1176000*li4half*ln2^4 - 
    7700*ln2^8 - 1512000*ln2^2*s6 - 68544000*ln2*s7a - 26208000*ln2*s7b + 
    135509850*s8a + 832104000*s8b + 76608000*s8c + 36288000*s8d + 
    451584000*li7half*sinf + 112896000*li6half*ln2*sinf + 67200*ln2^7*sinf - 
    79632000*ln2*s6*sinf + 16128000*s7a*sinf - 40320000*s7b*sinf - 
    56448000*li6half*z2 + 7056000*li4half*ln2^2*z2 + 137200*ln2^6*z2 - 
    97272000*s6*z2 - 112896000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 - 1293600*ln2^5*sinf*z2 + 6552000*li4half*z2^2 + 567000*ln2^4*z2^2 + 
    10936800*ln2^3*sinf*z2^2 + 13910400*ln2^2*z2^3 + 22579200*ln2*sinf*z2^3 - 
    86694624*z2^4 + 110880000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    1134000*ln2^5*z3 + 28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 - 
    17220000*ln2^3*z2*z3 + 35280000*ln2^2*sinf*z2*z3 - 74566800*ln2*z2^2*z3 + 
    4183200*sinf*z2^2*z3 - 72198000*ln2^2*z3^2 + 68670000*ln2*sinf*z3^2 - 
    150948000*z2*z3^2 - 41013000*ln2^3*z5 + 54684000*ln2^2*sinf*z5 - 
    154161000*ln2*z2*z5 + 175770000*sinf*z2*z5 - 80876250*z3*z5 - 
    356524875*ln2*z7 - 570024000*sinf*z7)/28224000, 
 H[1, 0, 1, 0, 1, 1, 0, 1, 1] -> (-5600*s8a + 1984*z2^4 + 2800*z2*z3^2 - 
    7700*sinf*z2*z5 - 12600*z3*z5 + 13125*sinf*z7)/1400, 
 H[1, 0, 1, 0, 1, 1, 0, 0, 1] -> 
  (-75600*s8a + 85574*z2^4 + 163800*sinf*z2^2*z3 + 42000*z2*z3^2 - 
    21000*sinf*z2*z5 - 567000*z3*z5 - 469875*sinf*z7)/42000, 
 H[1, 0, 1, 0, 1, 1, 0, -1, 1] -> (-15456000*ln2^2*s6 + 30912000*ln2*s7a + 
    30912000*ln2*s7b - 29858850*s8a + 122136000*s8b - 30912000*s8c + 
    30912000*s8d - 30912000*ln2*s6*sinf + 30912000*s7a*sinf + 
    30912000*s7b*sinf - 61824000*s6*z2 + 6182400*li4half*z2^2 + 
    257600*ln2^4*z2^2 + 4636800*ln2^2*z2^3 + 5409600*ln2*sinf*z2^3 + 
    19229004*z2^4 - 61824000*li5half*z3 + 515200*ln2^5*z3 - 
    5152000*ln2^3*z2*z3 - 15262800*ln2*z2^2*z3 - 3213000*sinf*z2^2*z3 + 
    19320000*ln2^2*z3^2 - 8694000*ln2*sinf*z3^2 + 37590000*z2*z3^2 + 
    1932000*ln2*z2*z5 - 95875500*sinf*z2*z5 - 126128625*z3*z5 - 
    26704125*ln2*z7 + 183799875*sinf*z7)/9408000, 
 H[1, 0, 1, 0, 1, 1, -1, 1, 1] -> 
  (-127008000*li4half^2 - 1128960000*li8half + 169344000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 10584000*li4half*ln2^4 - 326900*ln2^8 + 
    105336000*ln2^2*s6 - 368776800*s8a - 1735272000*s8b - 189504000*s8c - 
    149184000*s8d - 677376000*li7half*sinf + 56448000*li5half*ln2^2*sinf - 
    336000*ln2^7*sinf + 12096000*ln2*s6*sinf - 12096000*s7a*sinf + 
    270144000*s7b*sinf - 169344000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    63504000*li4half*ln2^2*z2 + 3743600*ln2^6*z2 + 457128000*s6*z2 - 
    127008000*li4half*ln2*sinf*z2 - 3410400*ln2^5*sinf*z2 - 
    10785600*li4half*z2^2 - 14267400*ln2^4*z2^2 + 2469600*ln2^3*sinf*z2^2 - 
    28274400*ln2^2*z2^3 - 17388000*ln2*sinf*z2^3 + 156038472*z2^4 + 
    383040000*li5half*z3 - 3192000*ln2^5*z3 + 137592000*li4half*sinf*z3 + 
    5733000*ln2^4*sinf*z3 + 74256000*ln2^3*z2*z3 - 
    156114000*ln2^2*sinf*z2*z3 + 151074000*ln2*z2^2*z3 - 
    171775800*sinf*z2^2*z3 + 70528500*ln2^2*z3^2 - 15120000*ln2*sinf*z3^2 + 
    310369500*z2*z3^2 + 41013000*ln2^3*z5 - 211900500*ln2^2*sinf*z5 + 
    445473000*ln2*z2*z5 - 840955500*sinf*z2*z5 - 497936250*z3*z5 + 
    2311745625*sinf*z7)/28224000, H[1, 0, 1, 0, 1, 1, -1, 0, 1] -> 
  (-8736000*ln2^2*s6 + 15841350*s8a - 65352000*s8b + 17472000*s8c - 
    17472000*s8d + 48384000*ln2*s6*sinf - 48384000*s7a*sinf - 
    48384000*s7b*sinf + 169344000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    235200*ln2^6*z2 + 78456000*s6*z2 - 18816000*li5half*sinf*z2 + 
    156800*ln2^5*sinf*z2 + 15086400*li4half*z2^2 + 1804600*ln2^4*z2^2 - 
    1568000*ln2^3*sinf*z2^2 - 14313600*ln2^2*z2^3 - 5628000*ln2*sinf*z2^3 - 
    34112944*z2^4 + 49056000*li5half*z3 - 408800*ln2^5*z3 - 
    61152000*li4half*sinf*z3 - 2548000*ln2^4*sinf*z3 + 4088000*ln2^3*z2*z3 + 
    15288000*ln2^2*sinf*z2*z3 + 36031800*ln2*z2^2*z3 + 
    59686200*sinf*z2^2*z3 - 2457000*ln2^2*z3^2 - 60480000*ln2*sinf*z3^2 - 
    28612500*z2*z3^2 + 9103500*ln2*z2*z5 + 177187500*sinf*z2*z5 - 
    32809875*z3*z5 - 404173875*sinf*z7)/9408000, 
 H[1, 0, 1, 0, 1, 1, -1, -1, 1] -> 
  (2419200*li4half^2 - 25804800*li7half*ln2 - 12902400*li6half*ln2^2 - 
    2150400*li5half*ln2^3 + 201600*li4half*ln2^4 + 9320*ln2^8 - 
    6192000*ln2^2*s6 + 4377600*ln2*s7a + 4780800*ln2*s7b + 6807150*s8a + 
    62697600*s8b + 3225600*s8c + 9676800*s8d + 12902400*li7half*sinf - 
    6451200*li6half*ln2*sinf - 3225600*li5half*ln2^2*sinf + 
    15360*ln2^7*sinf - 5875200*ln2*s6*sinf + 6681600*s7a*sinf - 
    5011200*s7b*sinf + 3225600*li6half*z2 + 3225600*li5half*ln2*z2 - 
    1209600*li4half*ln2^2*z2 - 90720*ln2^6*z2 - 26208000*s6*z2 + 
    9676800*li5half*sinf*z2 + 7257600*li4half*ln2*sinf*z2 + 
    141120*ln2^5*sinf*z2 + 1693440*li4half*z2^2 + 423360*ln2^4*z2^2 + 
    107520*ln2^3*sinf*z2^2 + 2702880*ln2^2*z2^3 + 2354400*ln2*sinf*z2^3 + 
    82152*z2^4 - 37094400*li5half*z3 - 8467200*li4half*ln2*z3 - 
    43680*ln2^5*z3 - 4233600*li4half*sinf*z3 - 176400*ln2^4*sinf*z3 - 
    2587200*ln2^3*z2*z3 + 4536000*ln2^2*sinf*z2*z3 - 12517920*ln2*z2^2*z3 + 
    3723840*sinf*z2^2*z3 - 859500*ln2^2*z3^2 + 1611000*ln2*sinf*z3^2 - 
    2526300*z2*z3^2 - 2734200*ln2^3*z5 + 7812000*ln2^2*sinf*z5 - 
    20217600*ln2*z2*z5 + 7223400*sinf*z2*z5 + 24318000*z3*z5 + 
    26689275*ln2*z7 - 38888775*sinf*z7)/1612800, 
 H[1, 0, 1, 0, 1, 0, 1, 1, 1] -> (-384*z2^4 + 360*sinf*z2^2*z3 - 
    2400*z2*z3^2 - 3000*sinf*z2*z5 + 6800*z3*z5 + 3925*sinf*z7)/400, 
 H[1, 0, 1, 0, 1, 0, 1, 0, 1] -> (381*z2^4 - 840*sinf*z2^2*z3 + 
    5600*z2*z3^2 + 2800*sinf*z2*z5 - 11200*z3*z5 - 2800*sinf*z7)/1400, 
 H[1, 0, 1, 0, 1, 0, 1, -1, 1] -> (806400*li4half^2 + 67200*li4half*ln2^4 + 
    1400*ln2^8 - 2419200*ln2^2*s6 + 1612800*ln2*s7a - 1612800*ln2*s7b + 
    3951675*s8a + 20512800*s8b + 3225600*s8c + 1612800*s8d + 
    576000*ln2*s6*sinf + 1036800*s7a*sinf - 2188800*s7b*sinf - 
    403200*li4half*ln2^2*z2 - 16800*ln2^6*z2 - 6451200*s6*z2 + 
    4838400*li5half*sinf*z2 + 2419200*li4half*ln2*sinf*z2 + 
    60480*ln2^5*sinf*z2 + 362880*li4half*z2^2 + 65520*ln2^4*z2^2 - 
    201600*ln2^3*sinf*z2^2 + 514080*ln2^2*z2^3 + 22320*ln2*sinf*z2^3 + 
    211158*z2^4 - 11692800*li5half*z3 - 2822400*li4half*ln2*z3 - 
    20160*ln2^5*z3 - 1612800*li4half*sinf*z3 - 67200*ln2^4*sinf*z3 - 
    268800*ln2^3*z2*z3 + 403200*ln2^2*sinf*z2*z3 - 5080320*ln2*z2^2*z3 + 
    1140840*sinf*z2^2*z3 + 1171800*ln2^2*z3^2 + 514800*ln2*sinf*z3^2 - 
    2179800*z2*z3^2 + 3124800*ln2^3*z5 + 3124800*ln2^2*sinf*z5 - 
    3628800*ln2*z2*z5 + 2095200*sinf*z2*z5 + 11543175*z3*z5 - 
    8001000*ln2*z7 - 11146725*sinf*z7)/403200, 
 H[1, 0, 1, 0, 1, 0, 0, 1, 1] -> (25200*s8a + 8242*z2^4 - 8400*sinf*z2^2*z3 + 
    56000*z2*z3^2 + 168000*sinf*z2*z5 - 182000*z3*z5 - 254625*sinf*z7)/14000, 
 H[1, 0, 1, 0, 1, 0, 0, 0, 1] -> (1575*s8a - 1523*z2^4 - 2100*sinf*z2^2*z3 - 
    1750*z2*z3^2 - 3500*sinf*z2*z5 + 16625*z3*z5 + 8750*sinf*z7)/875, 
 H[1, 0, 1, 0, 1, 0, 0, -1, 1] -> (3360000*ln2^2*s6 - 6720000*ln2*s7a - 
    6720000*ln2*s7b + 5634300*s8a - 28392000*s8b + 6720000*s8c - 
    6720000*s8d + 6720000*ln2*s6*sinf - 6720000*s7a*sinf - 6720000*s7b*sinf + 
    13440000*s6*z2 - 1344000*li4half*z2^2 - 56000*ln2^4*z2^2 - 
    1008000*ln2^2*z2^3 - 1176000*ln2*sinf*z2^3 - 3579012*z2^4 + 
    13440000*li5half*z3 - 112000*ln2^5*z3 + 1120000*ln2^3*z2*z3 + 
    3318000*ln2*z2^2*z3 + 1373400*sinf*z2^2*z3 - 4200000*ln2^2*z3^2 + 
    1890000*ln2*sinf*z3^2 - 10626000*z2*z3^2 - 420000*ln2*z2*z5 + 
    23047500*sinf*z2*z5 + 26677875*z3*z5 + 9457875*ln2*z7 - 45005625*sinf*z7)/
   4704000, H[1, 0, 1, 0, 1, 0, -1, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    5376000*ln2^2*s6 - 2064300*s8a - 25368000*s8b - 5376000*s8c + 
    8832000*ln2*s6*sinf - 8832000*s7a*sinf - 3456000*s7b*sinf - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 8064000*li4half*ln2*sinf*
     z2 + 336000*ln2^5*sinf*z2 - 1209600*li4half*z2^2 + 453600*ln2^4*z2^2 - 
    2016000*ln2^3*sinf*z2^2 - 638400*ln2^2*z2^3 - 1956000*ln2*sinf*z2^3 - 
    2513508*z2^4 - 8736000*li4half*sinf*z3 - 364000*ln2^4*sinf*z3 + 
    9240000*ln2^2*sinf*z2*z3 + 10584000*ln2*z2^2*z3 + 6352800*sinf*z2^2*z3 - 
    4662000*ln2^2*z3^2 - 11040000*ln2*sinf*z3^2 + 4158000*z2*z3^2 - 
    3472000*ln2^3*z5 - 10416000*ln2^2*sinf*z5 + 22512000*ln2*z2*z5 + 
    18762000*sinf*z2*z5 - 4179000*z3*z5 - 47146125*sinf*z7)/1344000, 
 H[1, 0, 1, 0, 1, 0, -1, 0, 1] -> (98175*s8a - 2688000*ln2*s6*sinf + 
    2688000*s7a*sinf + 2688000*s7b*sinf + 2016000*s6*z2 - 
    1512000*li4half*z2^2 - 63000*ln2^4*z2^2 + 378000*ln2^2*z2^3 + 
    470400*ln2*sinf*z2^3 + 428283*z2^4 + 4704000*li4half*sinf*z3 + 
    196000*ln2^4*sinf*z3 - 1176000*ln2^2*sinf*z2*z3 - 1323000*ln2*z2^2*z3 - 
    3481800*sinf*z2^2*z3 + 3360000*ln2*sinf*z3^2 - 1438500*z2*z3^2 - 
    3906000*ln2*z2*z5 - 9870000*sinf*z2*z5 + 5058375*z3*z5 + 
    22758750*sinf*z7)/336000, H[1, 0, 1, 0, 1, 0, -1, -1, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 + 
    2419200*ln2^2*s6 - 4838400*ln2*s7a + 1612800*ln2*s7b - 3403575*s8a - 
    31348800*s8b - 1612800*s8c - 4838400*s8d - 1612800*ln2*s6*sinf - 
    1612800*s7a*sinf + 1612800*s7b*sinf + 806400*li4half*ln2^2*z2 + 
    33600*ln2^6*z2 + 14515200*s6*z2 - 4838400*li5half*sinf*z2 - 
    4838400*li4half*ln2*sinf*z2 - 161280*ln2^5*sinf*z2 - 
    806400*li4half*z2^2 - 134400*ln2^4*z2^2 + 806400*ln2^3*sinf*z2^2 - 
    766080*ln2^2*z2^3 + 282240*ln2*sinf*z2^3 - 129816*z2^4 + 
    18144000*li5half*z3 + 5644800*li4half*ln2*z3 + 84000*ln2^5*z3 + 
    2822400*li4half*sinf*z3 + 117600*ln2^4*sinf*z3 + 100800*ln2^3*z2*z3 - 
    2822400*ln2^2*sinf*z2*z3 + 4183200*ln2*z2^2*z3 - 1706040*sinf*z2^2*z3 - 
    554400*ln2^2*z3^2 + 2016000*ln2*sinf*z3^2 - 75600*z2*z3^2 - 
    4166400*ln2^3*z5 - 3225600*ln2*z2*z5 - 1827000*sinf*z2*z5 - 
    9794925*z3*z5 + 15751575*ln2*z7 + 10713150*sinf*z7)/806400, 
 H[1, 0, 1, 0, 1, -1, 1, 1, 1] -> (-8467200*li4half^2 + 28224000*li8half + 
    1881600*li5half*ln2^3 - 280*ln2^8 - 151200*ln2^2*s6 + 5819625*s8a + 
    57304800*s8b + 302400*s8c + 11340000*s8d + 22579200*li7half*sinf + 
    940800*li4half*ln2^3*sinf + 34720*ln2^7*sinf - 3729600*ln2*s6*sinf + 
    3729600*s7a*sinf - 3326400*s7b*sinf - 5644800*li5half*ln2*z2 + 
    7840*ln2^6*z2 - 28501200*s6*z2 - 14112000*li5half*sinf*z2 - 
    2822400*li4half*ln2*sinf*z2 - 141120*ln2^5*sinf*z2 + 
    3961440*li4half*z2^2 + 223860*ln2^4*z2^2 + 993720*ln2^3*sinf*z2^2 - 
    1792980*ln2^2*z2^3 - 317520*ln2*sinf*z2^3 - 5671377*z2^4 + 
    15422400*li5half*z3 - 128520*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    147000*ln2^4*sinf*z3 - 831600*ln2^3*z2*z3 - 617400*ln2^2*sinf*z2*z3 + 
    4031370*ln2*z2^2*z3 + 947520*sinf*z2^2*z3 - 42525*ln2^2*z3^2 + 
    4662000*ln2*sinf*z3^2 - 10513125*z2*z3^2 - 1367100*ln2^3*z5 + 
    6835500*ln2^2*sinf*z5 + 3194100*ln2*z2*z5 + 13189050*sinf*z2*z5 + 
    4847850*z3*z5 - 23475375*sinf*z7)/1411200, 
 H[1, 0, 1, 0, 1, -1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    5376000*ln2^2*s6 + 6028575*s8a - 16380000*s8b + 10752000*s8c - 
    10752000*s8d - 6720000*ln2*s6*sinf + 6720000*s7a*sinf + 
    6720000*s7b*sinf - 56448000*li6half*z2 + 18816000*li5half*ln2*z2 + 
    4704000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 5544000*s6*z2 + 
    37632000*li5half*sinf*z2 + 9408000*li4half*ln2*sinf*z2 + 
    78400*ln2^5*sinf*z2 - 22377600*li4half*z2^2 - 1128400*ln2^4*z2^2 + 
    784000*ln2^3*sinf*z2^2 + 15430800*ln2^2*z2^3 + 9265200*ln2*sinf*z2^3 + 
    14113762*z2^4 - 91392000*li5half*z3 + 761600*ln2^5*z3 + 
    18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 - 7616000*ln2^3*z2*z3 - 
    4704000*ln2^2*sinf*z2*z3 - 24036600*ln2*z2^2*z3 - 11781000*sinf*z2^2*z3 - 
    1512000*ln2^2*z3^2 + 8400000*ln2*sinf*z3^2 + 11707500*z2*z3^2 - 
    45927000*ln2*z2*z5 - 42084000*sinf*z2*z5 + 69817125*z3*z5 + 
    31408125*sinf*z7)/4704000, H[1, 0, 1, 0, 1, -1, 1, -1, 1] -> 
  (-56448000*li4half^2 - 1693440000*li8half - 451584000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 403200*ln2^8 + 370440000*ln2^2*s6 - 
    181440000*ln2*s7a + 86688000*ln2*s7b - 650799450*s8a - 4034520000*s8b - 
    469728000*s8c - 341712000*s8d - 903168000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 18816000*li4half*ln2^3*sinf - 
    761600*ln2^7*sinf + 109872000*ln2*s6*sinf - 201600000*s7a*sinf + 
    306432000*s7b*sinf + 56448000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 4704000*ln2^6*z2 + 1135008000*s6*z2 - 
    112896000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    470400*ln2^5*sinf*z2 - 45763200*li4half*z2^2 - 18370800*ln2^4*z2^2 - 
    20227200*ln2^3*sinf*z2^2 - 60933600*ln2^2*z2^3 - 37044000*ln2*sinf*z2^3 + 
    85580928*z2^4 + 768096000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    7576800*ln2^5*z3 + 84672000*li4half*sinf*z3 + 3528000*ln2^4*sinf*z3 + 
    127512000*ln2^3*z2*z3 - 31752000*ln2^2*sinf*z2*z3 + 
    553807800*ln2*z2^2*z3 - 126378000*sinf*z2^2*z3 - 132741000*ln2^2*z3^2 - 
    195993000*ln2*sinf*z3^2 + 496944000*z2*z3^2 - 232407000*ln2^3*z5 - 
    492156000*ln2^2*sinf*z5 + 1064133000*ln2*z2*z5 - 780192000*sinf*z2*z5 - 
    630771750*z3*z5 + 707608125*ln2*z7 + 2347506000*sinf*z7)/28224000, 
 H[1, 0, 1, 0, 1, -1, 0, 1, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 4032000*ln2^2*s6 + 5233200*s8a + 1512000*s8b + 
    8064000*s8c - 8064000*s8d + 960000*ln2*s6*sinf - 960000*s7a*sinf - 
    960000*s7b*sinf + 16128000*li6half*z2 + 10752000*li5half*ln2*z2 - 
    1344000*li4half*ln2^2*z2 - 123200*ln2^6*z2 + 22512000*s6*z2 + 
    10752000*li5half*sinf*z2 + 5376000*li4half*ln2*sinf*z2 + 
    134400*ln2^5*sinf*z2 - 5510400*li4half*z2^2 + 162400*ln2^4*z2^2 - 
    448000*ln2^3*sinf*z2^2 + 1176000*ln2^2*z2^3 + 1540800*ln2*sinf*z2^3 + 
    3425772*z2^4 - 12096000*li5half*z3 + 100800*ln2^5*z3 - 
    3360000*li4half*sinf*z3 - 140000*ln2^4*sinf*z3 - 1008000*ln2^3*z2*z3 + 
    840000*ln2^2*sinf*z2*z3 - 9928800*ln2*z2^2*z3 + 250800*sinf*z2^2*z3 - 
    1134000*ln2^2*z3^2 - 1200000*ln2*sinf*z3^2 + 1071000*z2*z3^2 - 
    32004000*ln2*z2*z5 + 6306000*sinf*z2*z5 - 13125000*z3*z5 - 
    25917375*sinf*z7)/1344000, H[1, 0, 1, 0, 1, -1, 0, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 2154600*s8a + 8568000*s8b - 8064000*s8c + 
    8064000*s8d + 2880000*ln2*s6*sinf - 2880000*s7a*sinf - 2880000*s7b*sinf + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 16128000*s6*z2 + 
    8870400*li4half*z2^2 - 134400*ln2^4*z2^2 - 2016000*ln2^2*z2^3 + 
    792000*ln2*sinf*z2^3 - 6081216*z2^4 + 12096000*li5half*z3 - 
    100800*ln2^5*z3 - 10080000*li4half*sinf*z3 - 420000*ln2^4*sinf*z3 + 
    1008000*ln2^3*z2*z3 + 2520000*ln2^2*sinf*z2*z3 - 151200*ln2*z2^2*z3 + 
    3171600*sinf*z2^2*z3 + 1134000*ln2^2*z3^2 - 3600000*ln2*sinf*z3^2 + 
    504000*z2*z3^2 + 24192000*ln2*z2*z5 - 297000*sinf*z2*z5 + 
    11403000*z3*z5 - 5396625*sinf*z7)/2016000, 
 H[1, 0, 1, 0, 1, -1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    103488000*ln2^2*s6 + 68544000*ln2*s7a - 6720000*ln2*s7b + 108141600*s8a + 
    467712000*s8b + 107520000*s8c + 5376000*s8d + 26880000*ln2*s6*sinf + 
    10752000*s7a*sinf - 64512000*s7b*sinf + 56448000*li6half*z2 + 
    37632000*li5half*ln2*z2 - 47040000*li4half*ln2^2*z2 - 2195200*ln2^6*z2 - 
    63672000*s6*z2 + 263424000*li5half*sinf*z2 + 131712000*li4half*ln2*sinf*
     z2 + 3292800*ln2^5*sinf*z2 - 53491200*li4half*z2^2 + 
    4435200*ln2^4*z2^2 - 10976000*ln2^3*sinf*z2^2 + 32088000*ln2^2*z2^3 + 
    20680800*ln2*sinf*z2^3 + 17201976*z2^4 - 471744000*li5half*z3 - 
    32928000*li4half*ln2*z3 + 2559200*ln2^5*z3 - 84672000*li4half*sinf*z3 - 
    3528000*ln2^4*sinf*z3 - 31080000*ln2^3*z2*z3 + 
    21168000*ln2^2*sinf*z2*z3 - 228614400*ln2*z2^2*z3 + 
    49887600*sinf*z2^2*z3 + 61446000*ln2^2*z3^2 - 4788000*ln2*sinf*z3^2 - 
    92032500*z2*z3^2 + 72912000*ln2^3*z5 + 72912000*ln2^2*sinf*z5 - 
    327810000*ln2*z2*z5 - 65100000*sinf*z2*z5 + 502183500*z3*z5 + 
    85309875*ln2*z7 - 340693500*sinf*z7)/9408000, 
 H[1, 0, 1, 0, 1, -1, -1, 1, 1] -> 
  (338688000*li4half^2 + 1128960000*li8half - 338688000*li6half*ln2^2 - 
    150528000*li5half*ln2^3 + 224000*ln2^8 - 47376000*ln2^2*s6 + 
    137995200*s8a + 555408000*s8b + 52416000*s8c - 38304000*s8d + 
    451584000*li7half*sinf - 112896000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 716800*ln2^7*sinf + 201600000*ln2*s6*sinf - 
    201600000*s7a*sinf - 272160000*s7b*sinf + 338688000*li6half*z2 + 
    225792000*li5half*ln2*z2 - 112896000*li4half*ln2^2*z2 - 
    5331200*ln2^6*z2 + 90720000*s6*z2 + 112896000*li5half*sinf*z2 + 
    338688000*li4half*ln2*sinf*z2 + 15052800*ln2^5*sinf*z2 - 
    86688000*li4half*z2^2 + 15204000*ln2^4*z2^2 - 75264000*ln2^3*sinf*z2^2 - 
    27216000*ln2^2*z2^3 - 25653600*ln2*sinf*z2^3 - 91889568*z2^4 - 
    262080000*li5half*z3 + 2184000*ln2^5*z3 - 338688000*li4half*sinf*z3 - 
    14112000*ln2^4*sinf*z3 - 21840000*ln2^3*z2*z3 + 
    317520000*ln2^2*sinf*z2*z3 + 59850000*ln2*z2^2*z3 + 
    246531600*sinf*z2^2*z3 - 138348000*ln2^2*z3^2 - 252000000*ln2*sinf*z3^2 + 
    93870000*z2*z3^2 + 36456000*ln2^3*z5 + 41013000*ln2^2*sinf*z5 - 
    102564000*ln2*z2*z5 + 1111257000*sinf*z2*z5 - 710703000*z3*z5 - 
    2921617125*sinf*z7)/56448000, H[1, 0, 1, 0, 1, -1, -1, 0, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    6048000*ln2^2*s6 - 2880675*s8a - 1108800*s8b - 12096000*s8c + 
    12096000*s8d - 33868800*ln2*s6*sinf + 33868800*s7a*sinf + 
    33868800*s7b*sinf - 33868800*li6half*z2 - 56448000*li5half*ln2*z2 - 
    11289600*li4half*ln2^2*z2 - 47040*ln2^6*z2 - 12196800*s6*z2 - 
    33868800*li5half*sinf*z2 - 11289600*li4half*ln2*sinf*z2 - 
    188160*ln2^5*sinf*z2 + 725760*li4half*z2^2 + 265440*ln2^4*z2^2 - 
    5942160*ln2^2*z2^3 - 493920*ln2*sinf*z2^3 - 687396*z2^4 + 
    63302400*li5half*z3 - 527520*ln2^5*z3 + 59270400*li4half*sinf*z3 + 
    2469600*ln2^4*sinf*z3 + 5275200*ln2^3*z2*z3 - 14817600*ln2^2*sinf*z2*z3 + 
    7436520*ln2*z2^2*z3 - 41930280*sinf*z2^2*z3 + 1701000*ln2^2*z3^2 + 
    42336000*ln2*sinf*z3^2 - 19548900*z2*z3^2 + 44490600*ln2*z2*z5 - 
    97284600*sinf*z2*z5 + 35218575*z3*z5 + 290861550*sinf*z7)/5644800, 
 H[1, 0, 1, 0, 1, -1, -1, -1, 1] -> 
  (141120000*li4half^2 + 1128960000*li8half + 903168000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    39984000*li4half*ln2^4 + 642600*ln2^8 - 244944000*ln2^2*s6 + 
    80640000*ln2*s7a - 102816000*ln2*s7b + 481631850*s8a + 2210544000*s8b + 
    427392000*s8c + 38304000*s8d + 451584000*li7half*sinf + 
    225792000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 851200*ln2^7*sinf - 4032000*ln2*s6*sinf + 
    60480000*s7a*sinf - 193536000*s7b*sinf - 112896000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 127008000*li4half*ln2^2*z2 - 
    5448800*ln2^6*z2 - 337680000*s6*z2 + 395136000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 - 2587200*ln2^5*sinf*z2 - 
    64310400*li4half*z2^2 + 13196400*ln2^4*z2^2 + 31281600*ln2^3*sinf*z2^2 + 
    74239200*ln2^2*z2^3 + 66830400*ln2*sinf*z2^3 - 17447184*z2^4 - 
    711648000*li5half*z3 + 127008000*li4half*ln2*z3 + 11222400*ln2^5*z3 - 
    84672000*li4half*sinf*z3 - 3528000*ln2^4*sinf*z3 - 
    119280000*ln2^3*z2*z3 - 89964000*ln2^2*sinf*z2*z3 - 
    582422400*ln2*z2^2*z3 + 82807200*sinf*z2^2*z3 + 212026500*ln2^2*z3^2 + 
    156303000*ln2*sinf*z3^2 - 479965500*z2*z3^2 + 141267000*ln2^3*z5 + 
    273420000*ln2^2*sinf*z5 - 1001763000*ln2*z2*z5 + 86058000*sinf*z2*z5 + 
    1040901750*z3*z5 - 809447625*ln2*z7 - 1253385000*sinf*z7)/56448000, 
 H[1, 0, 1, 0, 0, 1, 1, 1, 1] -> 
  (15400*s8a - 13936*z2^4 - 10500*sinf*z2^2*z3 + 14000*z2*z3^2 + 
    17500*sinf*z2*z5 + 42000*z3*z5 + 4375*sinf*z7)/7000, 
 H[1, 0, 1, 0, 0, 1, 1, 0, 1] -> 
  (-113400*s8a + 88006*z2^4 + 63000*sinf*z2^2*z3 + 63000*z2*z3^2 - 
    21000*sinf*z2*z5 - 525000*z3*z5 - 175875*sinf*z7)/42000, 
 H[1, 0, 1, 0, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    215712000*ln2^2*s6 + 143136000*ln2*s7a - 40320000*ln2*s7b + 
    274615425*s8a + 1698984000*s8b + 187488000*s8c + 235872000*s8d + 
    42336000*s7a*sinf + 28224000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 704592000*s6*z2 - 84672000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 2822400*ln2^5*sinf*z2 + 
    45763200*li4half*z2^2 + 142800*ln2^4*z2^2 + 14112000*ln2^3*sinf*z2^2 + 
    63352800*ln2^2*z2^3 + 14061600*ln2*sinf*z2^3 - 4858272*z2^4 - 
    323568000*li5half*z3 + 98784000*li4half*ln2*z3 + 6812400*ln2^5*z3 + 
    56448000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 - 51660000*ln2^3*z2*z3 - 
    77616000*ln2^2*sinf*z2*z3 - 159831000*ln2*z2^2*z3 - 
    23902200*sinf*z2^2*z3 + 129181500*ln2^2*z3^2 + 6174000*ln2*sinf*z3^2 - 
    199048500*z2*z3^2 + 177723000*ln2^3*z5 + 13671000*ln2^2*sinf*z5 - 
    438291000*ln2*z2*z5 + 11686500*sinf*z2*z5 + 394726500*z3*z5 - 
    423446625*ln2*z7 + 158484375*sinf*z7)/28224000, 
 H[1, 0, 1, 0, 0, 1, 0, 1, 1] -> (-3889*z2^4 - 12600*z2*z3^2 - 
    23100*sinf*z2*z5 + 46200*z3*z5 + 39375*sinf*z7)/4200, 
 H[1, 0, 1, 0, 0, 1, 0, 0, 1] -> (2275*s8a - 1416*z2^4 - 4200*sinf*z2^2*z3 - 
    3500*z2*z3^2 + 10500*sinf*z2*z5 - 1750*z3*z5 + 5250*sinf*z7)/1750, 
 H[1, 0, 1, 0, 0, 1, 0, -1, 1] -> (1344000*ln2^2*s6 - 2688000*ln2*s7a - 
    2688000*ln2*s7b + 2490075*s8a - 7056000*s8b + 2688000*s8c - 2688000*s8d + 
    2688000*ln2*s6*sinf - 2688000*s7a*sinf - 2688000*s7b*sinf + 
    5376000*s6*z2 - 537600*li4half*z2^2 - 22400*ln2^4*z2^2 - 
    403200*ln2^2*z2^3 - 470400*ln2*sinf*z2^3 - 764528*z2^4 + 
    5376000*li5half*z3 - 44800*ln2^5*z3 + 448000*ln2^3*z2*z3 + 
    1327200*ln2*z2^2*z3 + 126000*sinf*z2^2*z3 - 1680000*ln2^2*z3^2 + 
    756000*ln2*sinf*z3^2 - 2436000*z2*z3^2 - 168000*ln2*z2*z5 + 
    9313500*sinf*z2*z5 + 5034750*z3*z5 - 4751250*ln2*z7 - 17052000*sinf*z7)/
   672000, H[1, 0, 1, 0, 0, 1, -1, 1, 1] -> 
  (28560000*ln2^2*s6 - 45054450*s8a - 214956000*s8b - 33600000*s8c - 
    22848000*s8d - 2016000*ln2*s6*sinf + 2016000*s7a*sinf - 
    14448000*s7b*sinf + 62160000*s6*z2 - 4569600*li4half*z2^2 - 
    190400*ln2^4*z2^2 - 9928800*ln2^2*z2^3 - 1612800*ln2*sinf*z2^3 - 
    3280962*z2^4 + 45696000*li5half*z3 - 380800*ln2^5*z3 + 
    3808000*ln2^3*z2*z3 + 8820000*ln2^2*sinf*z2*z3 + 33406800*ln2*z2^2*z3 + 
    7035000*sinf*z2^2*z3 + 1858500*ln2^2*z3^2 + 2520000*ln2*sinf*z3^2 + 
    29095500*z2*z3^2 - 4557000*ln2^3*z5 + 9114000*ln2^2*sinf*z5 + 
    114471000*ln2*z2*z5 + 15246000*sinf*z2*z5 - 44693250*z3*z5 - 
    40805625*sinf*z7)/4704000, H[1, 0, 1, 0, 0, 1, -1, 0, 1] -> 
  (65100*s8a + 672000*s8b - 960000*ln2*s6*sinf + 960000*s7a*sinf + 
    960000*s7b*sinf + 1008000*s6*z2 - 1020000*ln2*sinf*z2^3 + 469466*z2^4 + 
    2079000*ln2*z2^2*z3 - 843000*sinf*z2^2*z3 + 1200000*ln2*sinf*z3^2 - 
    577500*z2*z3^2 - 2929500*ln2*z2*z5 - 205500*sinf*z2*z5 - 4312875*z3*z5 + 
    5463375*sinf*z7)/672000, H[1, 0, 1, 0, 0, 1, -1, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    19152000*ln2^2*s6 - 37900800*ln2*s7a + 10080000*ln2*s7b - 12951225*s8a - 
    174585600*s8b - 4838400*s8c - 29030400*s8d + 11692800*ln2*s6*sinf - 
    25804800*s7a*sinf + 8064000*s7b*sinf + 2822400*li4half*ln2^2*z2 + 
    117600*ln2^6*z2 + 82051200*s6*z2 - 33868800*li5half*sinf*z2 - 
    16934400*li4half*ln2*sinf*z2 - 423360*ln2^5*sinf*z2 - 
    6088320*li4half*z2^2 - 606480*ln2^4*z2^2 + 1411200*ln2^3*sinf*z2^2 - 
    2993760*ln2^2*z2^3 - 1441440*ln2*sinf*z2^3 - 1063332*z2^4 + 
    117331200*li5half*z3 + 19756800*li4half*ln2*z3 - 154560*ln2^5*z3 + 
    11289600*li4half*sinf*z3 + 470400*ln2^4*sinf*z3 + 4838400*ln2^3*z2*z3 - 
    8114400*ln2^2*sinf*z2*z3 + 39392640*ln2*z2^2*z3 - 9956520*sinf*z2^2*z3 - 
    27953100*ln2^2*z3^2 - 1650600*ln2*sinf*z3^2 + 5436900*z2*z3^2 - 
    41013000*ln2^3*z5 - 24607800*ln2^2*sinf*z5 - 24796800*ln2*z2*z5 + 
    17942400*sinf*z2*z5 - 84919275*z3*z5 + 76774950*ln2*z7 + 
    16852500*sinf*z7)/5644800, H[1, 0, 1, 0, 0, 0, 1, 1, 1] -> 
  (4200*s8a - 218*z2^4 - 1000*sinf*z2^2*z3 + 4000*z2*z3^2 + 
    10000*sinf*z2*z5 - 10000*z3*z5 - 13625*sinf*z7)/2000, 
 H[1, 0, 1, 0, 0, 0, 1, 0, 1] -> (-2100*s8a + 671*z2^4 + 1260*sinf*z2^2*z3 + 
    525*z2*z3^2 - 2100*sinf*z2*z5 - 525*z3*z5 - 2100*sinf*z7)/525, 
 H[1, 0, 1, 0, 0, 0, 1, -1, 1] -> (18144000*ln2^2*s6 - 12096000*ln2*s7a + 
    25536000*ln2*s7b - 54624675*s8a - 224784000*s8b - 30912000*s8c - 
    25536000*s8d - 6720000*ln2*s6*sinf - 12096000*s7a*sinf + 
    25536000*s7b*sinf + 88704000*s6*z2 - 5107200*li4half*z2^2 - 
    212800*ln2^4*z2^2 - 4771200*ln2^2*z2^3 + 12516000*ln2*sinf*z2^3 + 
    7498152*z2^4 + 51072000*li5half*z3 - 425600*ln2^5*z3 + 
    4256000*ln2^3*z2*z3 + 29559600*ln2*z2^2*z3 - 1902600*sinf*z2^2*z3 - 
    14448000*ln2^2*z3^2 - 22470000*ln2*sinf*z3^2 + 34062000*z2*z3^2 - 
    36456000*ln2^3*z5 - 36456000*ln2^2*sinf*z5 - 22260000*ln2*z2*z5 - 
    83097000*sinf*z2*z5 - 98860125*z3*z5 + 158563125*ln2*z7 + 
    115933125*sinf*z7)/4704000, H[1, 0, 1, 0, 0, 0, 0, 1, 1] -> 
  (1575*s8a - 3128*z2^4 - 4200*sinf*z2^2*z3 - 5250*z2*z3^2 - 
    21000*sinf*z2*z5 + 21000*z3*z5 + 52500*sinf*z7)/5250, 
 H[1, 0, 1, 0, 0, 0, 0, 0, 1] -> 
  (2*(175*s8a + 223*z2^4 - 875*z3*z5 - 2625*sinf*z7))/875, 
 H[1, 0, 1, 0, 0, 0, 0, -1, 1] -> (497175*s8a + 2688000*s8b + 303608*z2^4 - 
    235200*sinf*z2^2*z3 - 168000*z2*z3^2 - 199500*sinf*z2*z5 - 
    1407000*z3*z5 - 5334000*ln2*z7 + 1307250*sinf*z7)/336000, 
 H[1, 0, 1, 0, 0, 0, -1, 1, 1] -> (-12096000*ln2^2*s6 + 15500100*s8a + 
    65016000*s8b + 5376000*s8c + 13440000*s8d - 13440000*ln2*s6*sinf + 
    13440000*s7a*sinf - 5376000*s7b*sinf - 26880000*s6*z2 + 
    2688000*li4half*z2^2 + 112000*ln2^4*z2^2 + 2956800*ln2^2*z2^3 - 
    8988000*ln2*sinf*z2^3 - 4889004*z2^4 - 26880000*li5half*z3 + 
    224000*ln2^5*z3 - 2240000*ln2^3*z2*z3 - 13944000*ln2*z2^2*z3 - 
    4687200*sinf*z2^2*z3 + 6888000*ln2^2*z3^2 + 16800000*ln2*sinf*z3^2 - 
    8736000*z2*z3^2 + 12152000*ln2^3*z5 + 36456000*ln2^2*sinf*z5 - 
    13776000*ln2*z2*z5 + 20202000*sinf*z2*z5 + 42084000*z3*z5 + 
    1168125*sinf*z7)/4704000, H[1, 0, 1, 0, 0, 0, -1, 0, 1] -> 
  (-28950*s8a - 144000*s6*z2 - 7687*z2^4 + 50400*sinf*z2^2*z3 + 
    93000*z2*z3^2 + 279000*ln2*z2*z5 + 3000*sinf*z2*z5 - 69000*z3*z5 - 
    237375*sinf*z7)/24000, H[1, 0, 1, 0, 0, 0, -1, -1, 1] -> 
  (-645120*ln2^2*s6 + 1290240*ln2*s7a - 215040*ln2*s7b + 782145*s8a + 
    7069440*s8b + 215040*s8c + 1290240*s8d + 752640*s7a*sinf - 
    3709440*s6*z2 + 258048*li4half*z2^2 + 10752*ln2^4*z2^2 + 
    193536*ln2^2*z2^3 - 128844*z2^4 - 2580480*li5half*z3 + 21504*ln2^5*z3 - 
    215040*ln2^3*z2*z3 - 1022784*ln2*z2^2*z3 + 51744*sinf*z2^2*z3 + 
    806400*ln2^2*z3^2 - 231840*z2*z3^2 + 972160*ln2^3*z5 + 762720*ln2*z2*z5 + 
    26460*sinf*z2*z5 + 1880340*z3*z5 - 2063460*ln2*z7 + 503475*sinf*z7)/
   188160, H[1, 0, 1, 0, 0, -1, 1, 1, 1] -> 
  (-1814400*ln2^2*s6 + 10333575*s8a + 32625600*s8b + 3628800*s8c + 
    2956800*s8d + 1075200*ln2*s6*sinf - 1075200*s7a*sinf + 3628800*s7b*sinf - 
    9206400*s6*z2 + 5107200*li4half*z2^2 + 212800*ln2^4*z2^2 + 
    73920*ln2^2*z2^3 - 339360*ln2*sinf*z2^3 - 1504752*z2^4 - 
    5913600*li5half*z3 + 49280*ln2^5*z3 - 3763200*li4half*sinf*z3 - 
    156800*ln2^4*sinf*z3 - 492800*ln2^3*z2*z3 - 823200*ln2^2*sinf*z2*z3 - 
    6683880*ln2*z2^2*z3 - 1901760*sinf*z2^2*z3 - 510300*ln2^2*z3^2 - 
    1344000*ln2*sinf*z3^2 + 2144100*z2*z3^2 - 2126600*ln2^3*z5 - 
    4557000*ln2^2*sinf*z5 - 4506600*ln2*z2*z5 + 2717400*sinf*z2*z5 - 
    8126475*z3*z5 + 3864525*sinf*z7)/1881600, 
 H[1, 0, 1, 0, 0, -1, 1, 0, 1] -> 
  (-1889475*s8a - 672000*s8b + 960000*ln2*s6*sinf - 960000*s7a*sinf - 
    960000*s7b*sinf + 1680000*s6*z2 + 1020000*ln2*sinf*z2^3 + 740144*z2^4 - 
    2079000*ln2*z2^2*z3 + 1263000*sinf*z2^2*z3 - 1200000*ln2*sinf*z3^2 + 
    52500*z2*z3^2 - 2278500*ln2*z2*z5 - 99000*sinf*z2*z5 + 1577625*z3*z5 - 
    6502875*sinf*z7)/672000, H[1, 0, 1, 0, 0, -1, 1, -1, 1] -> 
  (8256000*ln2^2*s6 - 192000*ln2*s7a + 8544000*ln2*s7b - 23168775*s8a - 
    96432000*s8b - 18144000*s8c - 6720000*s8d - 4704000*ln2*s6*sinf + 
    2688000*s7a*sinf + 26880000*s6*z2 - 1344000*li4half*z2^2 - 
    56000*ln2^4*z2^2 - 2865600*ln2^2*z2^3 + 261600*ln2*sinf*z2^3 - 
    272724*z2^4 + 13440000*li5half*z3 - 112000*ln2^5*z3 + 
    1120000*ln2^3*z2*z3 + 2520000*ln2^2*sinf*z2*z3 + 11878200*ln2*z2^2*z3 + 
    957600*sinf*z2^2*z3 + 411000*ln2^2*z3^2 - 441000*ln2*sinf*z3^2 + 
    18396000*z2*z3^2 - 6944000*ln2^3*z5 + 2604000*ln2^2*sinf*z5 + 
    24504000*ln2*z2*z5 - 2121000*sinf*z2*z5 - 32794125*z3*z5 + 
    50946375*ln2*z7 + 2215500*sinf*z7)/1344000, 
 H[1, 0, 1, 0, 0, -1, 0, 1, 1] -> (-1419075*s8a + 2352000*s6*z2 + 
    245128*z2^4 + 390600*sinf*z2^2*z3 - 3643500*z2*z3^2 - 4557000*ln2*z2*z5 - 
    6069000*sinf*z2*z5 + 7890750*z3*z5 + 9035250*sinf*z7)/672000, 
 H[1, 0, 1, 0, 0, -1, 0, 0, 1] -> 
  (131075*s8a + 27732*z2^4 - 46200*sinf*z2^2*z3 - 21000*z2*z3^2 + 
    630000*sinf*z2*z5 - 1135750*z3*z5 - 336000*sinf*z7)/112000, 
 H[1, 0, 1, 0, 0, -1, 0, -1, 1] -> (6720000*ln2^2*s6 - 13440000*ln2*s7a - 
    13440000*ln2*s7b + 11897025*s8a + 13776000*s8b + 13440000*s8c - 
    13440000*s8d + 13440000*ln2*s6*sinf - 13440000*s7a*sinf - 
    13440000*s7b*sinf + 35112000*s6*z2 - 2688000*li4half*z2^2 - 
    112000*ln2^4*z2^2 - 2016000*ln2^2*z2^3 - 2352000*ln2*sinf*z2^3 + 
    7817384*z2^4 + 26880000*li5half*z3 - 224000*ln2^5*z3 + 
    2240000*ln2^3*z2*z3 + 6636000*ln2*z2^2*z3 + 1512000*sinf*z2^2*z3 - 
    8400000*ln2^2*z3^2 + 3780000*ln2*sinf*z3^2 - 15188250*z2*z3^2 - 
    16789500*ln2*z2*z5 + 45507000*sinf*z2*z5 - 17149125*z3*z5 - 
    121101750*ln2*z7 - 86336250*sinf*z7)/4704000, 
 H[1, 0, 1, 0, 0, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    57456000*ln2^2*s6 + 61652325*s8a + 354984000*s8b + 58464000*s8c + 
    30912000*s8d - 29568000*ln2*s6*sinf + 29568000*s7a*sinf + 
    29568000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 
    78288000*s6*z2 - 28224000*li4half*ln2*sinf*z2 - 1176000*ln2^5*sinf*z2 + 
    10416000*li4half*z2^2 - 1330000*ln2^4*z2^2 + 7056000*ln2^3*sinf*z2^2 + 
    14431200*ln2^2*z2^3 + 8097600*ln2*sinf*z2^3 + 6039072*z2^4 - 
    61824000*li5half*z3 + 515200*ln2^5*z3 + 30576000*li4half*sinf*z3 + 
    1274000*ln2^4*sinf*z3 - 5152000*ln2^3*z2*z3 - 41160000*ln2^2*sinf*z2*z3 - 
    77494200*ln2*z2^2*z3 - 27963600*sinf*z2^2*z3 + 17797500*ln2^2*z3^2 + 
    36960000*ln2*sinf*z3^2 - 83464500*z2*z3^2 + 25823000*ln2^3*z5 + 
    22785000*ln2^2*sinf*z5 - 220962000*ln2*z2*z5 - 131691000*sinf*z2*z5 + 
    172648875*z3*z5 + 288172500*sinf*z7)/9408000, 
 H[1, 0, 1, 0, 0, -1, -1, 0, 1] -> (122325*s8a + 2688000*ln2*s6*sinf - 
    2688000*s7a*sinf - 2688000*s7b*sinf - 3696000*s6*z2 + 
    1512000*li4half*z2^2 + 63000*ln2^4*z2^2 - 378000*ln2^2*z2^3 - 
    470400*ln2*sinf*z2^3 - 712748*z2^4 - 4704000*li4half*sinf*z3 - 
    196000*ln2^4*sinf*z3 + 1176000*ln2^2*sinf*z2*z3 + 1323000*ln2*z2^2*z3 + 
    3435600*sinf*z2^2*z3 - 3360000*ln2*sinf*z3^2 + 3129000*z2*z3^2 + 
    7161000*ln2*z2*z5 + 10489500*sinf*z2*z5 - 7179375*z3*z5 - 
    23900625*sinf*z7)/672000, H[1, 0, 1, 0, 0, -1, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    26712000*ln2^2*s6 + 53424000*ln2*s7a - 66528000*ln2*s7b + 95251275*s8a + 
    534240000*s8b + 66528000*s8c + 53424000*s8d + 34272000*ln2*s6*sinf + 
    1008000*s7a*sinf - 34272000*s7b*sinf - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 - 184464000*s6*z2 + 42336000*li5half*sinf*z2 + 
    42336000*li4half*ln2*sinf*z2 + 1411200*ln2^5*sinf*z2 + 
    9273600*li4half*z2^2 + 1268400*ln2^4*z2^2 - 7056000*ln2^3*sinf*z2^2 + 
    8366400*ln2^2*z2^3 - 5997600*ln2*sinf*z2^3 + 5302044*z2^4 - 
    180936000*li5half*z3 - 49392000*li4half*ln2*z3 - 550200*ln2^5*z3 - 
    24696000*li4half*sinf*z3 - 1029000*ln2^4*sinf*z3 - 2730000*ln2^3*z2*z3 + 
    24696000*ln2^2*sinf*z2*z3 - 58350600*ln2*z2^2*z3 + 
    17879400*sinf*z2^2*z3 + 11781000*ln2^2*z3^2 - 11970000*ln2*sinf*z3^2 - 
    51880500*z2*z3^2 + 77469000*ln2^3*z5 + 33768000*ln2*z2*z5 + 
    83916000*sinf*z2*z5 + 162201375*z3*z5 - 451261125*ln2*z7 - 
    218365875*sinf*z7)/14112000, H[1, 0, 1, 0, -1, 1, 1, 1, 1] -> 
  (-56448000*li4half^2 - 112896000*li8half + 95200*ln2^8 - 
    66528000*ln2^2*s6 + 126281925*s8a - 346248000*s8b + 133056000*s8c - 
    182448000*s8d - 112896000*li7half*sinf + 22400*ln2^7*sinf - 
    61488000*ln2*s6*sinf + 61488000*s7a*sinf + 40320000*s7b*sinf - 
    1097600*ln2^6*z2 + 389592000*s6*z2 + 169344000*li5half*sinf*z2 - 
    1881600*ln2^5*sinf*z2 - 138096000*li4half*z2^2 - 2226000*ln2^4*z2^2 + 
    4351200*ln2^3*sinf*z2^2 + 52290000*ln2^2*z2^3 + 36792000*ln2*sinf*z2^3 + 
    69137388*z2^4 + 26208000*li5half*z3 + 3074400*ln2^5*z3 + 
    84672000*li4half*sinf*z3 + 7644000*ln2^4*sinf*z3 - 16632000*ln2^3*z2*z3 - 
    45864000*ln2^2*sinf*z2*z3 - 155660400*ln2*z2^2*z3 - 
    80740800*sinf*z2^2*z3 - 18711000*ln2^2*z3^2 + 76860000*ln2*sinf*z3^2 - 
    23499000*z2*z3^2 + 20506500*ln2^2*sinf*z5 - 399168000*ln2*z2*z5 - 
    108517500*sinf*z2*z5 + 158752125*z3*z5 + 205041375*sinf*z7)/28224000, 
 H[1, 0, 1, 0, -1, 1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    58464000*ln2^2*s6 - 118721925*s8a + 294336000*s8b - 116928000*s8c + 
    116928000*s8d + 120960000*ln2*s6*sinf - 120960000*s7a*sinf - 
    120960000*s7b*sinf + 112896000*li6half*z2 + 156800*ln2^6*z2 - 
    255024000*s6*z2 - 112896000*li5half*sinf*z2 + 940800*ln2^5*sinf*z2 + 
    147571200*li4half*z2^2 + 268800*ln2^4*z2^2 - 9408000*ln2^3*sinf*z2^2 - 
    64285200*ln2^2*z2^3 - 78220800*ln2*sinf*z2^3 - 45861348*z2^4 - 
    8064000*li5half*z3 - 14112000*li4half*ln2*z3 - 520800*ln2^5*z3 - 
    338688000*li4half*sinf*z3 - 14112000*ln2^4*sinf*z3 + 
    44016000*ln2^3*z2*z3 + 109368000*ln2^2*sinf*z2*z3 + 
    87368400*ln2*z2^2*z3 + 195917400*sinf*z2^2*z3 + 10269000*ln2^2*z3^2 - 
    163548000*ln2*sinf*z3^2 + 119889000*z2*z3^2 + 350784000*ln2*z2*z5 + 
    398979000*sinf*z2*z5 - 437999625*z3*z5 - 767710125*sinf*z7)/28224000, 
 H[1, 0, 1, 0, -1, 1, 1, -1, 1] -> 
  (112896000*li4half^2 - 2032128000*li8half - 903168000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 224000*ln2^8 + 270144000*ln2^2*s6 - 
    131040000*ln2*s7a - 215712000*ln2*s7b - 215644275*s8a - 1144584000*s8b - 
    151200000*s8c + 24192000*s8d - 677376000*li7half*sinf - 
    225792000*li6half*ln2*sinf - 179200*ln2^7*sinf + 268128000*ln2*s6*sinf - 
    141120000*s7a*sinf + 14112000*s7b*sinf + 112896000*li6half*z2 + 
    2508800*ln2^6*z2 - 48384000*s6*z2 + 141120000*li5half*sinf*z2 + 
    338688000*li4half*ln2*sinf*z2 + 14817600*ln2^5*sinf*z2 + 
    38707200*li4half*z2^2 - 7795200*ln2^4*z2^2 - 72912000*ln2^3*sinf*z2^2 - 
    129931200*ln2^2*z2^3 - 116272800*ln2*sinf*z2^3 + 95786496*z2^4 - 
    182448000*li5half*z3 - 592704000*li4half*ln2*z3 - 29761200*ln2^5*z3 - 
    225792000*li4half*sinf*z3 - 17640000*ln2^4*sinf*z3 + 
    198828000*ln2^3*z2*z3 + 132300000*ln2^2*sinf*z2*z3 + 
    443431800*ln2*z2^2*z3 + 102664800*sinf*z2^2*z3 - 201852000*ln2^2*z3^2 - 
    295029000*ln2*sinf*z3^2 + 187929000*z2*z3^2 + 82026000*ln2^3*z5 - 
    150381000*ln2^2*sinf*z5 + 1089900000*ln2*z2*z5 - 212121000*sinf*z2*z5 + 
    366998625*z3*z5 - 814519125*ln2*z7 + 602240625*sinf*z7)/56448000, 
 H[1, 0, 1, 0, -1, 1, 0, 1, 1] -> (4032000*li4half^2 + 336000*li4half*ln2^4 + 
    7000*ln2^8 + 6048000*ln2^2*s6 - 10598175*s8a - 2268000*s8b - 
    12096000*s8c + 12096000*s8d + 2592000*ln2*s6*sinf - 2592000*s7a*sinf - 
    2592000*s7b*sinf - 8064000*li6half*z2 + 2016000*li4half*ln2^2*z2 + 
    72800*ln2^6*z2 - 27720000*s6*z2 - 8064000*li5half*sinf*z2 + 
    67200*ln2^5*sinf*z2 - 1411200*li4half*z2^2 - 646800*ln2^4*z2^2 - 
    672000*ln2^3*sinf*z2^2 + 655200*ln2^2*z2^3 - 3016800*ln2*sinf*z2^3 - 
    4658778*z2^4 - 8064000*li5half*z3 + 2016000*li4half*ln2*z3 + 
    151200*ln2^5*z3 + 1176000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 + 
    6426000*ln2*z2^2*z3 + 1866600*sinf*z2^2*z3 + 2583000*ln2^2*z3^2 - 
    1476000*ln2*sinf*z3^2 + 3024000*z2*z3^2 + 36288000*ln2*z2*z5 - 
    3757500*sinf*z2*z5 + 25554375*z3*z5 + 13451625*sinf*z7)/2016000, 
 H[1, 0, 1, 0, -1, 1, 0, 0, 1] -> (-1344000*ln2^2*s6 + 1878975*s8a - 
    2856000*s8b + 2688000*s8c - 2688000*s8d - 960000*ln2*s6*sinf + 
    960000*s7a*sinf + 960000*s7b*sinf + 5376000*s6*z2 - 
    3696000*li4half*z2^2 - 154000*ln2^4*z2^2 + 856800*ln2^2*z2^3 - 
    264000*ln2*sinf*z2^3 + 1848946*z2^4 + 2688000*li5half*z3 + 
    2016000*li4half*ln2*z3 + 61600*ln2^5*z3 + 5376000*li4half*sinf*z3 + 
    224000*ln2^4*sinf*z3 - 280000*ln2^3*z2*z3 - 1344000*ln2^2*sinf*z2*z3 - 
    596400*ln2*z2^2*z3 - 1733400*sinf*z2^2*z3 + 504000*ln2^2*z3^2 + 
    2964000*ln2*sinf*z3^2 - 1764000*z2*z3^2 - 8064000*ln2*z2*z5 + 
    771000*sinf*z2*z5 - 4318125*z3*z5 + 832875*sinf*z7)/672000, 
 H[1, 0, 1, 0, -1, 1, 0, -1, 1] -> 
  (4515840*li4half^2 + 376320*li4half*ln2^4 + 7840*ln2^8 + 6773760*ln2^2*s6 + 
    3064320*ln2*s7a + 12096000*ln2*s7b - 16603335*s8a - 59653440*s8b - 
    24192000*s8c + 10644480*s8d + 1290240*ln2*s6*sinf - 5806080*s7a*sinf + 
    3225600*s7b*sinf - 2257920*li6half*z2 - 1128960*li4half*ln2^2*z2 - 
    50176*ln2^6*z2 - 13245120*s6*z2 - 29352960*li5half*sinf*z2 - 
    13547520*li4half*ln2*sinf*z2 - 319872*ln2^5*sinf*z2 - 
    5548032*li4half*z2^2 - 184128*ln2^4*z2^2 + 940800*ln2^3*sinf*z2^2 + 
    1399104*ln2^2*z2^3 - 3271968*ln2*sinf*z2^3 - 7216236*z2^4 + 
    28949760*li5half*z3 + 30481920*li4half*ln2*z3 + 1028832*ln2^5*z3 + 
    9031680*li4half*sinf*z3 + 376320*ln2^4*sinf*z3 - 4549440*ln2^3*z2*z3 - 
    1270080*ln2^2*sinf*z2*z3 + 9412704*ln2*z2^2*z3 - 4906944*sinf*z2^2*z3 + 
    11289600*ln2^2*z3^2 + 856800*ln2*sinf*z3^2 + 17279640*z2*z3^2 - 
    8749440*ln2^3*z5 - 8749440*ln2^2*sinf*z5 + 36761760*ln2*z2*z5 + 
    21474180*sinf*z2*z5 - 24902640*z3*z5 + 75526290*ln2*z7 + 
    10383660*sinf*z7)/1128960, H[1, 0, 1, 0, -1, 1, -1, 1, 1] -> 
  (-169344000*li4half^2 + 1241856000*li8half - 169344000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 18816000*li4half*ln2^4 - 380800*ln2^8 - 
    279720000*ln2^2*s6 + 418318425*s8a + 2774016000*s8b + 383040000*s8c + 
    160272000*s8d + 790272000*li7half*sinf - 56448000*li5half*ln2^2*sinf + 
    313600*ln2^7*sinf - 317520000*ln2*s6*sinf + 317520000*s7a*sinf - 
    98784000*s7b*sinf + 169344000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 4704000*ln2^6*z2 - 504000000*s6*z2 - 
    169344000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    7056000*ln2^5*sinf*z2 + 54633600*li4half*z2^2 - 9483600*ln2^4*z2^2 + 
    67267200*ln2^3*sinf*z2^2 + 22428000*ln2^2*z2^3 + 73382400*ln2*sinf*z2^3 - 
    44734392*z2^4 - 66528000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    3914400*ln2^5*z3 + 183456000*li4half*sinf*z3 + 3528000*ln2^4*sinf*z3 - 
    22008000*ln2^3*z2*z3 - 158760000*ln2^2*sinf*z2*z3 - 
    356000400*ln2*z2^2*z3 - 61740000*sinf*z2^2*z3 - 5355000*ln2^2*z3^2 + 
    372204000*ln2*sinf*z3^2 - 450891000*z2*z3^2 + 59241000*ln2^3*z5 + 
    492156000*ln2^2*sinf*z5 - 1326843000*ln2*z2*z5 + 246078000*sinf*z2*z5 + 
    110100375*z3*z5 - 601083000*sinf*z7)/28224000, 
 H[1, 0, 1, 0, -1, 1, -1, 0, 1] -> (-32256000*ln2^2*s6 + 57460725*s8a - 
    98280000*s8b + 64512000*s8c - 64512000*s8d + 185472000*ln2*s6*sinf - 
    185472000*s7a*sinf - 185472000*s7b*sinf - 620928000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 627200*ln2^6*z2 - 
    213192000*s6*z2 + 169344000*li5half*sinf*z2 - 1411200*ln2^5*sinf*z2 + 
    23788800*li4half*z2^2 + 6871200*ln2^4*z2^2 + 14112000*ln2^3*sinf*z2^2 + 
    53071200*ln2^2*z2^3 + 16077600*ln2*sinf*z2^3 + 81300396*z2^4 - 
    139104000*li5half*z3 + 112896000*li4half*ln2*z3 + 5863200*ln2^5*z3 - 
    169344000*li4half*sinf*z3 - 7056000*ln2^4*sinf*z3 - 
    80976000*ln2^3*z2*z3 + 17640000*ln2^2*sinf*z2*z3 - 5922000*ln2*z2^2*z3 + 
    161103600*sinf*z2^2*z3 + 40320000*ln2^2*z3^2 - 133056000*ln2*sinf*z3^2 + 
    127134000*z2*z3^2 + 73048500*ln2*z2*z5 + 549013500*sinf*z2*z5 - 
    26286750*z3*z5 - 1541153250*sinf*z7)/28224000, 
 H[1, 0, 1, 0, -1, 1, -1, -1, 1] -> 
  (254016000*li4half^2 - 225792000*li8half + 903168000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    30576000*li4half*ln2^4 + 648200*ln2^8 + 405216000*ln2^2*s6 + 
    167328000*ln2*s7a + 153216000*ln2*s7b - 717779475*s8a - 3659544000*s8b - 
    820512000*s8c - 40320000*s8d - 677376000*li7half*sinf + 
    225792000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf - 
    492800*ln2^7*sinf + 439488000*ln2*s6*sinf - 467712000*s7a*sinf + 
    209664000*s7b*sinf - 112896000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    183456000*li4half*ln2^2*z2 - 8428000*ln2^6*z2 + 525168000*s6*z2 - 
    592704000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*z2 - 
    3763200*ln2^5*sinf*z2 - 300182400*li4half*z2^2 + 10424400*ln2^4*z2^2 - 
    44452800*ln2^3*sinf*z2^2 + 19504800*ln2^2*z2^3 - 
    128419200*ln2*sinf*z2^3 - 112900176*z2^4 + 1061424000*li5half*z3 + 
    945504000*li4half*ln2*z3 + 37136400*ln2^5*z3 + 
    197568000*li4half*sinf*z3 + 16464000*ln2^4*sinf*z3 - 
    129108000*ln2^3*z2*z3 + 38808000*ln2^2*sinf*z2*z3 + 
    499552200*ln2*z2^2*z3 - 167000400*sinf*z2^2*z3 + 359383500*ln2^2*z3^2 - 
    271530000*ln2*sinf*z3^2 + 732469500*z2*z3^2 - 104811000*ln2^3*z5 - 
    833931000*ln2^2*sinf*z5 + 2189628000*ln2*z2*z5 + 171297000*sinf*z2*z5 - 
    1180627875*z3*z5 + 87018750*ln2*z7 + 1118958750*sinf*z7)/56448000, 
 H[1, 0, 1, 0, -1, 0, 1, 1, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 5006925*s8a + 8064000*ln2*s6*sinf - 8064000*s7a*sinf - 
    8064000*s7b*sinf - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    17337600*li4half*z2^2 + 1226400*ln2^4*z2^2 - 4334400*ln2^2*z2^3 - 
    1411200*ln2*sinf*z2^3 - 2762568*z2^4 - 16128000*li5half*z3 - 
    2016000*li4half*ln2*z3 + 50400*ln2^5*z3 - 16128000*li4half*sinf*z3 - 
    672000*ln2^4*sinf*z3 - 840000*ln2^3*z2*z3 + 4032000*ln2^2*sinf*z2*z3 + 
    15170400*ln2*z2^2*z3 + 12789000*sinf*z2^2*z3 - 882000*ln2^2*z3^2 - 
    11844000*ln2*sinf*z3^2 - 4662000*z2*z3^2 + 14868000*sinf*z2*z5 - 
    1787625*z3*z5 - 48817125*sinf*z7)/4032000, 
 H[1, 0, 1, 0, -1, 0, 1, 0, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 - 374850*s8a - 
    1612800*ln2*s6*sinf + 1612800*s7a*sinf + 1612800*s7b*sinf + 
    806400*li4half*ln2^2*z2 + 33600*ln2^6*z2 + 463680*li4half*z2^2 - 
    81480*ln2^4*z2^2 - 115920*ln2^2*z2^3 + 282240*ln2*sinf*z2^3 + 
    139203*z2^4 + 1612800*li5half*z3 - 1209600*li4half*ln2*z3 - 
    63840*ln2^5*z3 + 1612800*li4half*sinf*z3 + 67200*ln2^4*sinf*z3 + 
    436800*ln2^3*z2*z3 - 403200*ln2^2*sinf*z2*z3 + 405720*ln2*z2^2*z3 - 
    1144080*sinf*z2^2*z3 - 529200*ln2^2*z3^2 + 957600*ln2*sinf*z3^2 + 
    6300*z2*z3^2 - 5140800*sinf*z2*z5 - 1628550*z3*z5 + 10854900*sinf*z7)/
   201600, H[1, 0, 1, 0, -1, 0, 1, -1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 - 
    207648000*ln2^2*s6 + 56448000*ln2*s7a + 56448000*ln2*s7b + 73042200*s8a - 
    4032000*s8b + 302400000*s8c - 302400000*s8d - 185472000*ln2*s6*sinf + 
    185472000*s7a*sinf + 185472000*s7b*sinf - 169344000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 604800000*s6*z2 + 
    338688000*li5half*sinf*z2 - 2822400*ln2^5*sinf*z2 + 
    97574400*li4half*z2^2 + 18177600*ln2^4*z2^2 + 28224000*ln2^3*sinf*z2^2 - 
    22075200*ln2^2*z2^3 + 135878400*ln2*sinf*z2^3 + 152215992*z2^4 + 
    124992000*li5half*z3 - 183456000*li4half*ln2*z3 - 8685600*ln2^5*z3 - 
    17808000*ln2^3*z2*z3 - 148176000*ln2^2*sinf*z2*z3 - 
    165186000*ln2*z2^2*z3 - 45738000*sinf*z2^2*z3 - 67662000*ln2^2*z3^2 + 
    40446000*ln2*sinf*z3^2 - 161532000*z2*z3^2 - 1014142500*ln2*z2*z5 - 
    945252000*sinf*z2*z5 - 292666500*z3*z5 + 568834875*ln2*z7 + 
    1236863250*sinf*z7)/28224000, H[1, 0, 1, 0, -1, 0, 0, 1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 + 1293075*s8a + 
    1612800*ln2*s6*sinf - 1612800*s7a*sinf - 1612800*s7b*sinf - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 161280*li4half*z2^2 + 
    94080*ln2^4*z2^2 + 40320*ln2^2*z2^3 - 282240*ln2*sinf*z2^3 - 
    432036*z2^4 - 1612800*li5half*z3 + 1209600*li4half*ln2*z3 + 
    63840*ln2^5*z3 - 1612800*li4half*sinf*z3 - 67200*ln2^4*sinf*z3 - 
    436800*ln2^3*z2*z3 + 403200*ln2^2*sinf*z2*z3 - 141120*ln2*z2^2*z3 + 
    924840*sinf*z2^2*z3 + 529200*ln2^2*z3^2 - 957600*ln2*sinf*z3^2 + 
    441000*z2*z3^2 + 7711200*sinf*z2*z5 + 1078875*z3*z5 - 14519925*sinf*z7)/
   403200, H[1, 0, 1, 0, -1, 0, 0, 0, 1] -> 
  (3325*s8a + 168000*li4half*z2^2 + 7000*ln2^4*z2^2 - 42000*ln2^2*z2^3 - 
    59593*z2^4 + 147000*ln2*z2^2*z3 - 32200*sinf*z2^2*z3 - 10500*z2*z3^2 - 
    210000*sinf*z2*z5 + 324625*z3*z5 + 217875*sinf*z7)/56000, 
 H[1, 0, 1, 0, -1, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    46368000*ln2^2*s6 - 92736000*ln2*s7a - 92736000*ln2*s7b + 64064700*s8a + 
    46368000*s8b + 92736000*s8c - 92736000*s8d + 36288000*ln2*s6*sinf - 
    36288000*s7a*sinf - 36288000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 185472000*s6*z2 + 50601600*li4half*z2^2 - 
    1419600*ln2^4*z2^2 - 31197600*ln2^2*z2^3 - 6350400*ln2*sinf*z2^3 + 
    29454462*z2^4 + 143136000*li5half*z3 - 141120000*li4half*ln2*z3 - 
    7072800*ln2^5*z3 - 42336000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 + 
    47208000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 + 
    106293600*ln2*z2^2*z3 + 26661600*sinf*z2^2*z3 - 119700000*ln2^2*z3^2 - 
    26838000*ln2*sinf*z3^2 - 67567500*z2*z3^2 - 5796000*ln2*z2*z5 + 
    110344500*sinf*z2*z5 - 141498000*z3*z5 - 738990000*ln2*z7 - 
    230792625*sinf*z7)/14112000, H[1, 0, 1, 0, -1, 0, -1, 1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 + 
    7176960*ln2^2*s6 - 3903795*s8a - 3366720*s8b - 14353920*s8c + 
    14353920*s8d + 13386240*ln2*s6*sinf - 13386240*s7a*sinf - 
    13386240*s7b*sinf + 6773760*li5half*ln2*z2 - 4515840*li4half*ln2^2*z2 - 
    244608*ln2^6*z2 - 28707840*s6*z2 + 13547520*li4half*ln2*sinf*z2 + 
    564480*ln2^5*sinf*z2 - 4806144*li4half*z2^2 + 81984*ln2^4*z2^2 - 
    3386880*ln2^3*sinf*z2^2 + 1560384*ln2^2*z2^3 - 6479424*ln2*sinf*z2^3 - 
    7810092*z2^4 - 36046080*li5half*z3 + 4515840*li4half*ln2*z3 + 
    488544*ln2^5*z3 - 14676480*li4half*sinf*z3 - 611520*ln2^4*sinf*z3 - 
    1169280*ln2^3*z2*z3 + 15523200*ln2^2*sinf*z2*z3 + 4307184*ln2*z2^2*z3 + 
    11102112*sinf*z2^2*z3 + 2882880*ln2^2*z3^2 - 12781440*ln2*sinf*z3^2 + 
    8895600*z2*z3^2 + 40706820*ln2*z2*z5 + 47260080*sinf*z2*z5 + 
    34008030*z3*z5 - 101754450*sinf*z7)/1128960, 
 H[1, 0, 1, 0, -1, 0, -1, 0, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 - 374850*s8a - 
    3225600*ln2*s6*sinf + 3225600*s7a*sinf + 3225600*s7b*sinf + 
    806400*li4half*ln2^2*z2 + 33600*ln2^6*z2 - 141120*li4half*z2^2 - 
    106680*ln2^4*z2^2 + 35280*ln2^2*z2^3 + 564480*ln2*sinf*z2^3 + 
    272691*z2^4 + 1209600*li5half*z3 - 1612800*li4half*ln2*z3 - 
    77280*ln2^5*z3 + 4032000*li4half*sinf*z3 + 168000*ln2^4*sinf*z3 + 
    504000*ln2^3*z2*z3 - 1008000*ln2^2*sinf*z2*z3 - 123480*ln2*z2^2*z3 - 
    2892960*sinf*z2^2*z3 - 705600*ln2^2*z3^2 + 2620800*ln2*sinf*z3^2 - 
    337050*z2*z3^2 - 10634400*sinf*z2*z5 + 23625*z3*z5 + 23300550*sinf*z7)/
   201600, H[1, 0, 1, 0, -1, 0, -1, -1, 1] -> 
  (-3225600*li4half^2 - 268800*li4half*ln2^4 - 5600*ln2^8 - 749700*s8a - 
    2131200*ln2*s6*sinf + 2131200*s7a*sinf + 2131200*s7b*sinf + 
    1612800*li4half*ln2^2*z2 + 67200*ln2^6*z2 - 2419200*li5half*sinf*z2 - 
    2419200*li4half*ln2*sinf*z2 - 80640*ln2^5*sinf*z2 + 
    2136960*li4half*z2^2 - 112560*ln2^4*z2^2 + 403200*ln2^3*sinf*z2^2 - 
    534240*ln2^2*z2^3 + 372960*ln2*sinf*z2^3 - 43434*z2^4 + 
    4032000*li5half*z3 - 1612800*li4half*ln2*z3 - 100800*ln2^5*z3 + 
    1209600*li4half*sinf*z3 + 50400*ln2^4*sinf*z3 + 739200*ln2^3*z2*z3 - 
    1360800*ln2^2*sinf*z2*z3 + 1869840*ln2*z2^2*z3 - 804240*sinf*z2^2*z3 - 
    705600*ln2^2*z3^2 + 459000*ln2*sinf*z3^2 - 107100*z2*z3^2 - 
    5520150*sinf*z2*z5 - 4948650*z3*z5 + 15226875*sinf*z7)/403200, 
 H[1, 0, 1, 0, -1, -1, 1, 1, 1] -> (338688000*li4half^2 - 903168000*li8half - 
    75264000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 375200*ln2^8 - 
    17136000*ln2^2*s6 - 56997675*s8a - 1517544000*s8b + 34272000*s8c - 
    302400000*s8d - 677376000*li7half*sinf - 37632000*li4half*ln2^3*sinf - 
    1433600*ln2^7*sinf + 167328000*ln2*s6*sinf - 167328000*s7a*sinf + 
    2016000*s7b*sinf + 225792000*li5half*ln2*z2 + 1881600*ln2^6*z2 + 
    738864000*s6*z2 + 451584000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*
     z2 + 7526400*ln2^5*sinf*z2 - 71769600*li4half*z2^2 - 
    5342400*ln2^4*z2^2 - 29635200*ln2^3*sinf*z2^2 + 82101600*ln2^2*z2^3 - 
    15976800*ln2*sinf*z2^3 + 99573192*z2^4 - 693504000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 369600*ln2^5*z3 - 197568000*li4half*sinf*z3 - 
    16464000*ln2^4*sinf*z3 + 8064000*ln2^3*z2*z3 + 
    75852000*ln2^2*sinf*z2*z3 - 150985800*ln2*z2^2*z3 + 
    79858800*sinf*z2^2*z3 + 7528500*ln2^2*z3^2 - 184464000*ln2*sinf*z3^2 + 
    53896500*z2*z3^2 + 22785000*ln2^3*z5 - 164052000*ln2^2*sinf*z5 - 
    171171000*ln2*z2*z5 - 330498000*sinf*z2*z5 + 721578375*z3*z5 + 
    323607375*sinf*z7)/56448000, H[1, 0, 1, 0, -1, -1, 1, 0, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    1008000*ln2^2*s6 - 39719925*s8a + 51912000*s8b - 2016000*s8c + 
    2016000*s8d - 64512000*ln2*s6*sinf + 64512000*s7a*sinf + 
    64512000*s7b*sinf + 112896000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    627200*ln2^6*z2 + 48888000*s6*z2 - 56448000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 705600*ln2^5*sinf*z2 + 
    90720000*li4half*z2^2 + 5544000*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 - 
    37787400*ln2^2*z2^3 + 3074400*ln2*sinf*z2^3 - 7713318*z2^4 + 
    221760000*li5half*z3 - 91728000*li4half*ln2*z3 - 5670000*ln2^5*z3 + 
    20832000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 + 75744900*ln2*z2^2*z3 - 
    16430400*sinf*z2^2*z3 - 39847500*ln2^2*z3^2 + 378000*ln2*sinf*z3^2 - 
    5433750*z2*z3^2 + 23136750*ln2*z2*z5 - 177156000*sinf*z2*z5 - 
    297194625*z3*z5 + 454489875*sinf*z7)/14112000, 
 H[1, 0, 1, 0, -1, -1, 1, -1, 1] -> 
  (-36288000*li4half^2 + 451584000*li8half + 129024000*li7half*ln2 + 
    16128000*li6half*ln2^2 + 10752000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 
    79400*ln2^8 - 101808000*ln2^2*s6 + 50400000*ln2*s7a - 26208000*ln2*s7b + 
    145189800*s8a + 1020096000*s8b + 129024000*s8c + 74592000*s8d + 
    225792000*li7half*sinf + 32256000*li6half*ln2*sinf + 
    5376000*li4half*ln2^3*sinf + 224000*ln2^7*sinf - 72864000*ln2*s6*sinf + 
    99072000*s7a*sinf - 29952000*s7b*sinf - 16128000*li6half*z2 - 
    32256000*li5half*ln2*z2 - 6048000*li4half*ln2^2*z2 - 565600*ln2^6*z2 - 
    264096000*s6*z2 + 36288000*li5half*sinf*z2 + 20160000*li4half*ln2*sinf*
     z2 - 537600*ln2^5*sinf*z2 + 46972800*li4half*z2^2 + 3385200*ln2^4*z2^2 + 
    6350400*ln2^3*sinf*z2^2 + 4068000*ln2^2*z2^3 + 21484800*ln2*sinf*z2^3 - 
    13806072*z2^4 - 184464000*li5half*z3 - 66528000*li4half*ln2*z3 - 
    294000*ln2^5*z3 - 16128000*li4half*sinf*z3 + 504000*ln2^4*sinf*z3 - 
    13188000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 - 118238400*ln2*z2^2*z3 + 
    20833200*sinf*z2^2*z3 + 5323500*ln2^2*z3^2 + 44775000*ln2*sinf*z3^2 - 
    115195500*z2*z3^2 + 70959000*ln2^3*z5 + 124992000*ln2^2*sinf*z5 - 
    297927000*ln2*z2*z5 + 31725000*sinf*z2*z5 + 67457250*z3*z5 - 
    168643125*ln2*z7 - 277976250*sinf*z7)/8064000, 
 H[1, 0, 1, 0, -1, -1, 0, 1, 1] -> 
  (-24192000*li4half^2 - 2016000*li4half*ln2^4 - 42000*ln2^8 + 44100*s8a - 
    32256000*li6half*z2 - 32256000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 + 56000*ln2^6*z2 - 5040000*s6*z2 - 
    16128000*li5half*sinf*z2 - 16128000*li4half*ln2*sinf*z2 - 
    537600*ln2^5*sinf*z2 + 10483200*li4half*z2^2 + 940800*ln2^4*z2^2 + 
    2688000*ln2^3*sinf*z2^2 - 2620800*ln2^2*z2^3 + 3557556*z2^4 + 
    52416000*li5half*z3 + 10080000*li4half*ln2*z3 - 16800*ln2^5*z3 + 
    10080000*li4half*sinf*z3 + 420000*ln2^4*sinf*z3 - 2856000*ln2^3*z2*z3 - 
    9576000*ln2^2*sinf*z2*z3 + 9172800*ln2*z2^2*z3 - 5342400*sinf*z2^2*z3 + 
    4410000*ln2^2*z3^2 + 8820000*ln2*sinf*z3^2 - 1669500*z2*z3^2 + 
    9765000*ln2*z2*z5 + 12978000*sinf*z2*z5 - 31838625*z3*z5 + 
    9796500*sinf*z7)/4032000, H[1, 0, 1, 0, -1, -1, 0, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 2823975*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf - 
    8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 - 7660800*li4half*z2^2 + 
    688800*ln2^4*z2^2 + 1915200*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 + 
    179736*z2^4 - 20160000*li5half*z3 + 8064000*li4half*ln2*z3 + 
    504000*ln2^5*z3 - 6048000*li4half*sinf*z3 - 252000*ln2^4*sinf*z3 - 
    3696000*ln2^3*z2*z3 + 1512000*ln2^2*sinf*z2*z3 - 6703200*ln2*z2^2*z3 + 
    5657400*sinf*z2^2*z3 + 3528000*ln2^2*z3^2 - 3024000*ln2*sinf*z3^2 + 
    126000*z2*z3^2 + 26586000*sinf*z2*z5 + 18474750*z3*z5 - 57810375*sinf*z7)/
   2016000, H[1, 0, 1, 0, -1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    74592000*ln2^2*s6 - 149184000*ln2*s7a - 149184000*ln2*s7b + 
    157181850*s8a + 116928000*s8b + 149184000*s8c - 149184000*s8d + 
    149184000*ln2*s6*sinf - 149184000*s7a*sinf - 149184000*s7b*sinf - 
    112896000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 392000*ln2^6*z2 + 280728000*s6*z2 - 
    56448000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1881600*ln2^5*sinf*z2 + 4032000*li4half*z2^2 + 3696000*ln2^4*z2^2 + 
    9408000*ln2^3*sinf*z2^2 - 30844800*ln2^2*z2^3 - 26107200*ln2*sinf*z2^3 + 
    69203556*z2^4 + 425376000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    2368800*ln2^5*z3 + 28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 + 
    11928000*ln2^3*z2*z3 - 31752000*ln2^2*sinf*z2*z3 + 
    103294800*ln2*z2^2*z3 + 4788000*sinf*z2^2*z3 - 80892000*ln2^2*z3^2 + 
    66654000*ln2*sinf*z3^2 - 140222250*z2*z3^2 + 24853500*ln2*z2*z5 + 
    573394500*sinf*z2*z5 - 230304375*z3*z5 - 1272820500*ln2*z7 - 
    977350500*sinf*z7)/28224000, H[1, 0, 1, 0, -1, -1, -1, 1, 1] -> 
  (197568000*li4half^2 - 1354752000*li8half + 338688000*li6half*ln2^2 + 
    150528000*li5half*ln2^3 + 54096000*li4half*ln2^4 + 1093400*ln2^8 + 
    252000000*ln2^2*s6 - 298662525*s8a - 1892520000*s8b - 376992000*s8c + 
    80640000*s8d - 677376000*li7half*sinf + 112896000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 761600*ln2^7*sinf + 324576000*ln2*s6*sinf - 
    324576000*s7a*sinf - 56448000*s7b*sinf - 338688000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 155232000*li4half*ln2^2*z2 - 
    8036000*ln2^6*z2 - 76608000*s6*z2 + 84672000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 - 58665600*li4half*z2^2 + 12255600*ln2^4*z2^2 - 
    40689600*ln2^3*sinf*z2^2 + 21520800*ln2^2*z2^3 - 
    132552000*ln2*sinf*z2^3 + 764856*z2^4 - 48384000*li5half*z3 + 
    197568000*li4half*ln2*z3 + 15220800*ln2^5*z3 - 
    119952000*li4half*sinf*z3 + 3234000*ln2^4*sinf*z3 - 
    41664000*ln2^3*z2*z3 + 130536000*ln2^2*sinf*z2*z3 + 
    238177800*ln2*z2^2*z3 + 65620800*sinf*z2^2*z3 + 118723500*ln2^2*z3^2 - 
    232848000*ln2*sinf*z3^2 + 299281500*z2*z3^2 - 59241000*ln2^3*z5 - 
    314433000*ln2^2*sinf*z5 + 1240344000*ln2*z2*z5 + 257985000*sinf*z2*z5 + 
    557951625*z3*z5 - 85113000*sinf*z7)/56448000, 
 H[1, 0, 1, 0, -1, -1, -1, 0, 1] -> 
  (1152000*li4half^2 + 96000*li4half*ln2^4 + 2000*ln2^8 - 165600*s8a - 
    2304000*ln2*s6*sinf + 2304000*s7a*sinf + 2304000*s7b*sinf + 
    5760000*li6half*z2 + 5760000*li5half*ln2*z2 + 2304000*li4half*ln2^2*z2 + 
    56000*ln2^6*z2 + 1224000*s6*z2 + 1152000*li5half*sinf*z2 + 
    1152000*li4half*ln2*sinf*z2 + 38400*ln2^5*sinf*z2 - 
    1339200*li4half*z2^2 - 343800*ln2^4*z2^2 - 192000*ln2^3*sinf*z2^2 + 
    334800*ln2^2*z2^3 + 403200*ln2*sinf*z2^3 - 567156*z2^4 - 
    4320000*li5half*z3 - 2304000*li4half*ln2*z3 - 60000*ln2^5*z3 + 
    1728000*li4half*sinf*z3 + 72000*ln2^4*sinf*z3 + 1056000*ln2^3*z2*z3 + 
    72000*ln2^2*sinf*z2*z3 - 1171800*ln2*z2^2*z3 - 1486800*sinf*z2^2*z3 - 
    1008000*ln2^2*z3^2 + 864000*ln2*sinf*z3^2 - 270000*z2*z3^2 - 
    2371500*ln2*z2*z5 - 8388000*sinf*z2*z5 + 3283875*z3*z5 + 
    15648750*sinf*z7)/576000, H[1, 0, 1, 0, -1, -1, -1, -1, 1] -> 
  (-70560000*li4half^2 - 451584000*li8half - 451584000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    24696000*li4half*ln2^4 - 514500*ln2^8 + 44856000*ln2^2*s6 - 
    89712000*ln2*s7a + 2016000*ln2*s7b - 40998825*s8a - 509040000*s8b - 
    2016000*s8c - 89712000*s8d - 112896000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 448000*ln2^7*sinf - 14112000*ln2*s6*sinf - 
    14112000*s7a*sinf + 14112000*s7b*sinf + 56448000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 63504000*li4half*ln2^2*z2 + 3822000*ln2^6*z2 + 
    239400000*s6*z2 - 42336000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 + 470400*ln2^5*sinf*z2 + 28627200*li4half*z2^2 - 6745200*ln2^4*z2^2 + 
    7056000*ln2^3*sinf*z2^2 - 25099200*ln2^2*z2^3 + 2469600*ln2*sinf*z2^3 + 
    39057588*z2^4 + 239400000*li5half*z3 - 63504000*li4half*ln2*z3 - 
    7933800*ln2^5*z3 + 24696000*li4half*sinf*z3 - 3087000*ln2^4*sinf*z3 + 
    44058000*ln2^3*z2*z3 - 24696000*ln2^2*sinf*z2*z3 + 
    108549000*ln2*z2^2*z3 - 15964200*sinf*z2^2*z3 - 83853000*ln2^2*z3^2 + 
    17640000*ln2*sinf*z3^2 + 6583500*z2*z3^2 - 59241000*ln2^3*z5 - 
    30082500*ln2*z2*z5 - 2205000*sinf*z2*z5 - 133032375*z3*z5 + 
    203655375*ln2*z7 + 186598125*sinf*z7)/28224000, 
 H[1, 0, 1, -1, 1, 1, 1, 1, 1] -> (366912000*li8half + 9100*ln2^8 - 
    3024000*ln2^2*s6 - 46270350*s8a - 515592000*s8b + 6048000*s8c - 
    111888000*s8d - 338688000*li7half*sinf + 67200*ln2^7*sinf - 
    27216000*ln2*s6*sinf + 27216000*s7a*sinf + 20160000*s7b*sinf - 
    254800*ln2^6*z2 + 276696000*s6*z2 + 141120000*li5half*sinf*z2 - 
    823200*ln2^5*sinf*z2 - 123984000*li4half*z2^2 - 1961400*ln2^4*z2^2 + 
    3645600*ln2^3*sinf*z2^2 + 24998400*ln2^2*z2^3 + 1915200*ln2*sinf*z2^3 + 
    54263844*z2^4 - 58464000*li5half*z3 + 75600*ln2^5*z3 + 
    84672000*li4half*sinf*z3 + 3528000*ln2^4*sinf*z3 - 756000*ln2^3*z2*z3 - 
    21168000*ln2^2*sinf*z2*z3 - 6690600*ln2*z2^2*z3 - 17791200*sinf*z2^2*z3 - 
    850500*ln2^2*z3^2 + 34020000*ln2*sinf*z3^2 + 22585500*z2*z3^2 + 
    6835500*ln2^2*sinf*z5 - 18144000*ln2*z2*z5 - 58999500*sinf*z2*z5 - 
    178337250*z3*z5 + 153538875*sinf*z7)/28224000, 
 H[1, 0, 1, -1, 1, 1, 1, 0, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 - 
    69552000*ln2^2*s6 + 209434050*s8a + 1062684000*s8b + 139104000*s8c + 
    79632000*s8d + 225792000*li7half*sinf - 44800*ln2^7*sinf + 
    1008000*ln2*s6*sinf - 1008000*s7a*sinf - 36288000*s7b*sinf + 
    127008000*li6half*z2 + 3528000*li4half*ln2^2*z2 + 323400*ln2^6*z2 - 
    265104000*s6*z2 - 28224000*li5half*sinf*z2 - 21168000*li4half*ln2*sinf*
     z2 + 294000*ln2^5*sinf*z2 + 55087200*li4half*z2^2 - 3437700*ln2^4*z2^2 + 
    4821600*ln2^3*sinf*z2^2 + 2255400*ln2^2*z2^3 + 7358400*ln2*sinf*z2^3 - 
    32523012*z2^4 - 102816000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    1885800*ln2^5*z3 - 98784000*li4half*sinf*z3 - 4116000*ln2^4*sinf*z3 - 
    16800000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 - 152296200*ln2*z2^2*z3 + 
    31600800*sinf*z2^2*z3 - 7213500*ln2^2*z3^2 - 1260000*ln2*sinf*z3^2 - 
    169816500*z2*z3^2 + 34177500*ln2^2*sinf*z5 - 417312000*ln2*z2*z5 + 
    107257500*sinf*z2*z5 + 268443000*z3*z5 - 309180375*sinf*z7)/14112000, 
 H[1, 0, 1, -1, 1, 1, 1, -1, 1] -> (56448000*li4half^2 + 225792000*li8half + 
    338688000*li7half*ln2 + 28224000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 
    75600*ln2^8 - 171360000*ln2^2*s6 - 48384000*ln2*s7a - 330624000*ln2*s7b + 
    713865600*s8a + 3211488000*s8b + 580608000*s8c + 181440000*s8d + 
    903168000*li7half*sinf + 56448000*li6half*ln2*sinf - 100800*ln2^7*sinf + 
    32256000*ln2*s6*sinf + 108864000*s7a*sinf - 187488000*s7b*sinf - 
    28224000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 548800*ln2^6*z2 - 
    814464000*s6*z2 + 169344000*li4half*ln2*sinf*z2 + 5409600*ln2^5*sinf*z2 + 
    39110400*li4half*z2^2 + 2100000*ln2^4*z2^2 - 25636800*ln2^3*sinf*z2^2 + 
    36388800*ln2^2*z2^3 + 13557600*ln2*sinf*z2^3 - 1160064*z2^4 - 
    278208000*li5half*z3 - 197568000*li4half*ln2*z3 - 5090400*ln2^5*z3 - 
    112896000*li4half*sinf*z3 - 4704000*ln2^4*sinf*z3 + 
    17976000*ln2^3*z2*z3 + 28224000*ln2^2*sinf*z2*z3 - 
    431172000*ln2*z2^2*z3 + 76482000*sinf*z2^2*z3 - 103761000*ln2^2*z3^2 + 
    126378000*ln2*sinf*z3^2 - 600831000*z2*z3^2 + 273420000*ln2^3*z5 + 
    287091000*ln2^2*sinf*z5 - 761796000*ln2*z2*z5 + 494739000*sinf*z2*z5 + 
    933282000*z3*z5 - 1538113500*ln2*z7 - 1621990125*sinf*z7)/56448000, 
 H[1, 0, 1, -1, 1, 1, 0, 1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 + 
    177408000*ln2^2*s6 - 271983600*s8a + 1113840000*s8b - 354816000*s8c + 
    608832000*s8d + 302400000*ln2*s6*sinf - 302400000*s7a*sinf - 
    34272000*s7b*sinf + 395136000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 
    1215200*ln2^6*z2 - 1302336000*s6*z2 - 451584000*li5half*sinf*z2 + 
    254016000*li4half*ln2*sinf*z2 + 14347200*ln2^5*sinf*z2 + 
    126000000*li4half*z2^2 + 2310000*ln2^4*z2^2 - 90552000*ln2^3*sinf*z2^2 - 
    41580000*ln2^2*z2^3 - 164858400*ln2*sinf*z2^3 - 239368896*z2^4 - 
    314496000*li5half*z3 - 296352000*li4half*ln2*z3 - 9727200*ln2^5*z3 - 
    169344000*li4half*sinf*z3 - 7056000*ln2^4*sinf*z3 + 
    31416000*ln2^3*z2*z3 + 285768000*ln2^2*sinf*z2*z3 + 
    406980000*ln2*z2^2*z3 + 158382000*sinf*z2^2*z3 - 92106000*ln2^2*z3^2 - 
    378000000*ln2*sinf*z3^2 + 98532000*z2*z3^2 - 259749000*ln2^2*sinf*z5 + 
    1064448000*ln2*z2*z5 + 72009000*sinf*z2*z5 + 179361000*z3*z5 + 
    61338375*sinf*z7)/56448000, H[1, 0, 1, -1, 1, 1, 0, 0, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    16531200*ln2^2*s6 - 67458825*s8a - 377092800*s8b - 33062400*s8c - 
    51609600*s8d - 28627200*ln2*s6*sinf + 28627200*s7a*sinf - 
    13708800*s7b*sinf - 67737600*li6half*z2 + 2822400*li4half*ln2^2*z2 + 
    23520*ln2^6*z2 + 127209600*s6*z2 - 11289600*li5half*sinf*z2 - 
    16934400*li4half*ln2*sinf*z2 - 611520*ln2^5*sinf*z2 - 
    14555520*li4half*z2^2 + 451920*ln2^4*z2^2 + 9643200*ln2^3*sinf*z2^2 + 
    262080*ln2^2*z2^3 - 1451520*ln2*sinf*z2^3 + 25670844*z2^4 + 
    91929600*li5half*z3 + 19756800*li4half*ln2*z3 + 57120*ln2^5*z3 + 
    22579200*li4half*sinf*z3 + 940800*ln2^4*sinf*z3 + 2721600*ln2^3*z2*z3 - 
    14112000*ln2^2*sinf*z2*z3 + 43190280*ln2*z2^2*z3 + 
    12320280*sinf*z2^2*z3 + 9588600*ln2^2*z3^2 + 35784000*ln2*sinf*z3^2 + 
    60076800*z2*z3^2 + 41013000*ln2^2*sinf*z5 + 99187200*ln2*z2*z5 + 
    54910800*sinf*z2*z5 - 183945825*z3*z5 - 112692825*sinf*z7)/5644800, 
 H[1, 0, 1, -1, 1, 1, 0, -1, 1] -> 
  (-84672000*li4half^2 + 13547520000*li8half + 5419008000*li7half*ln2 + 
    677376000*li6half*ln2^2 - 7056000*li4half*ln2^4 + 54600*ln2^8 - 
    3157056000*ln2^2*s6 + 1330560000*ln2*s7a - 1378944000*ln2*s7b + 
    5714183475*s8a + 35832888000*s8b + 3949344000*s8c + 3501792000*s8d + 
    5419008000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    806400*ln2^7*sinf - 780192000*ln2*s6*sinf + 1076544000*s7a*sinf - 
    997920000*s7b*sinf - 479808000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 
    156800*ln2^6*z2 - 10856160000*s6*z2 - 592704000*li5half*sinf*z2 - 
    254016000*li4half*ln2*sinf*z2 - 11289600*ln2^5*sinf*z2 + 
    696124800*li4half*z2^2 + 33709200*ln2^4*z2^2 + 
    110073600*ln2^3*sinf*z2^2 + 884419200*ln2^2*z2^3 + 
    292874400*ln2*sinf*z2^3 - 777672144*z2^4 - 5966352000*li5half*z3 + 
    296352000*li4half*ln2*z3 + 62067600*ln2^5*z3 + 
    169344000*li4half*sinf*z3 + 7056000*ln2^4*sinf*z3 - 
    579516000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 - 
    4038841800*ln2*z2^2*z3 + 272966400*sinf*z2^2*z3 + 891733500*ln2^2*z3^2 + 
    975240000*ln2*sinf*z3^2 - 4280377500*z2*z3^2 + 2624832000*ln2^3*z5 + 
    2009637000*ln2^2*sinf*z5 - 7712712000*ln2*z2*z5 + 3522330000*sinf*z2*z5 + 
    4899880125*z3*z5 - 12920370750*ln2*z7 - 9868595625*sinf*z7)/56448000, 
 H[1, 0, 1, -1, 1, 1, -1, 1, 1] -> (-56448000*li4half^2 - 526848000*li8half + 
    47040000*li6half*ln2^2 + 6272000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    98000*ln2^8 + 59136000*ln2^2*s6 - 199103100*s8a - 736512000*s8b - 
    118272000*s8c - 22848000*s8d + 56448000*li7half*sinf + 
    9408000*li5half*ln2^2*sinf - 89600*ln2^7*sinf - 48384000*ln2*s6*sinf + 
    48384000*s7a*sinf - 40992000*s7b*sinf - 47040000*li6half*z2 - 
    18816000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    116256000*s6*z2 - 9408000*li5half*sinf*z2 + 1097600*ln2^5*sinf*z2 + 
    9542400*li4half*z2^2 - 8775200*ln2^4*z2^2 + 156800*ln2^3*sinf*z2^2 - 
    672000*ln2^2*z2^3 - 12314400*ln2*sinf*z2^3 + 51653904*z2^4 + 
    78624000*li5half*z3 - 98784000*li4half*ln2*z3 - 4496800*ln2^5*z3 + 
    35280000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 + 28504000*ln2^3*z2*z3 - 
    8820000*ln2^2*sinf*z2*z3 + 126722400*ln2*z2^2*z3 - 1444800*sinf*z2^2*z3 + 
    2226000*ln2^2*z3^2 + 60480000*ln2*sinf*z3^2 + 125454000*z2*z3^2 + 
    45570000*ln2^3*z5 + 154938000*ln2^2*sinf*z5 + 218106000*ln2*z2*z5 + 
    54852000*sinf*z2*z5 - 78981000*z3*z5 - 103417125*sinf*z7)/18816000, 
 H[1, 0, 1, -1, 1, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    27216000*ln2^2*s6 - 81299925*s8a - 567000000*s8b - 54432000*s8c - 
    72576000*s8d - 96768000*li7half*sinf + 19200*ln2^7*sinf + 
    29952000*ln2*s6*sinf - 29952000*s7a*sinf - 3744000*s7b*sinf - 
    28224000*li6half*z2 + 12096000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 28000*ln2^6*z2 + 174384000*s6*z2 - 
    4032000*li5half*sinf*z2 - 24192000*li4half*ln2*sinf*z2 - 
    1377600*ln2^5*sinf*z2 - 4636800*li4half*z2^2 + 2032800*ln2^4*z2^2 + 
    6417600*ln2^3*sinf*z2^2 - 18849600*ln2^2*z2^3 - 3391200*ln2*sinf*z2^3 - 
    1546488*z2^4 + 148176000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    58800*ln2^5*z3 - 20160000*li4half*sinf*z3 - 840000*ln2^4*sinf*z3 + 
    6468000*ln2^3*z2*z3 - 14616000*ln2^2*sinf*z2*z3 + 87355800*ln2*z2^2*z3 + 
    19648800*sinf*z2^2*z3 + 19120500*ln2^2*z3^2 - 37440000*ln2*sinf*z3^2 + 
    90940500*z2*z3^2 - 25389000*ln2^2*sinf*z5 + 251181000*ln2*z2*z5 + 
    43632000*sinf*z2*z5 - 221137875*z3*z5 - 35497125*sinf*z7)/8064000, 
 H[1, 0, 1, -1, 1, 1, -1, -1, 1] -> (4032000*li8half - 48384000*li7half*ln2 - 
    16128000*li6half*ln2^2 - 1344000*li5half*ln2^3 - 1500*ln2^8 + 
    7200000*ln2^2*s6 - 2160000*ln2*s7a + 25056000*ln2*s7b - 20426175*s8a - 
    38304000*s8b - 22176000*s8c + 8064000*s8d - 68544000*li7half*sinf - 
    12096000*li6half*ln2*sinf - 2016000*li5half*ln2^2*sinf + 
    13600*ln2^7*sinf + 2736000*ln2*s6*sinf - 14832000*s7a*sinf + 
    36576000*s7b*sinf + 6048000*li6half*z2 + 2016000*li5half*ln2*z2 + 
    11200*ln2^6*z2 - 3024000*s6*z2 - 6048000*li5half*sinf*z2 - 
    100800*ln2^5*sinf*z2 + 705600*li4half*z2^2 + 1129800*ln2^4*z2^2 - 
    1881600*ln2^3*sinf*z2^2 + 212400*ln2^2*z2^3 + 1310400*ln2*sinf*z2^3 - 
    1161648*z2^4 - 9072000*li5half*z3 + 16800*ln2^5*z3 + 
    1512000*li4half*sinf*z3 + 63000*ln2^4*sinf*z3 - 168000*ln2^3*z2*z3 + 
    7182000*ln2^2*sinf*z2*z3 + 5283000*ln2*z2^2*z3 - 9822600*sinf*z2^2*z3 - 
    10764000*ln2^2*z3^2 - 28557000*ln2*sinf*z3^2 + 22302000*z2*z3^2 - 
    36130500*ln2^3*z5 - 64449000*ln2^2*sinf*z5 + 6723000*ln2*z2*z5 - 
    97614000*sinf*z2*z5 - 39430125*z3*z5 + 109228500*ln2*z7 + 
    237623625*sinf*z7)/4032000, H[1, 0, 1, -1, 1, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    2688000*ln2^2*s6 + 442050*s8a + 141960000*s8b - 5376000*s8c + 
    5376000*s8d + 14112000*ln2*s6*sinf - 14112000*s7a*sinf + 
    51744000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 - 
    10752000*s6*z2 - 75264000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 - 1136800*ln2^5*sinf*z2 + 68107200*li4half*z2^2 + 
    1955800*ln2^4*z2^2 + 4312000*ln2^3*sinf*z2^2 - 30500400*ln2^2*z2^3 - 
    4116000*ln2*sinf*z2^3 - 11006232*z2^4 + 177408000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 579600*ln2^5*z3 - 28224000*li4half*sinf*z3 - 
    1176000*ln2^4*sinf*z3 + 2436000*ln2^3*z2*z3 - 31752000*ln2^2*sinf*z2*z3 + 
    13179600*ln2*z2^2*z3 - 10760400*sinf*z2^2*z3 + 23394000*ln2^2*z3^2 - 
    17640000*ln2*sinf*z3^2 - 19194000*z2*z3^2 - 63798000*ln2^2*sinf*z5 + 
    16128000*ln2*z2*z5 - 125097000*sinf*z2*z5 - 181991250*z3*z5 + 
    363622875*sinf*z7)/9408000, H[1, 0, 1, -1, 1, 0, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    4032000*ln2^2*s6 - 663075*s8a - 212940000*s8b + 8064000*s8c - 
    8064000*s8d - 20160000*ln2*s6*sinf + 20160000*s7a*sinf + 
    20160000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    86688000*s6*z2 + 112896000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 2587200*ln2^5*sinf*z2 - 69350400*li4half*z2^2 - 
    1125600*ln2^4*z2^2 - 11760000*ln2^3*sinf*z2^2 + 21672000*ln2^2*z2^3 + 
    34498800*ln2*sinf*z2^3 + 6354798*z2^4 - 322560000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 1428000*ln2^5*z3 + 141120000*li4half*sinf*z3 + 
    5880000*ln2^4*sinf*z3 - 2184000*ln2^3*z2*z3 + 7056000*ln2^2*sinf*z2*z3 - 
    50022000*ln2*z2^2*z3 - 54041400*sinf*z2^2*z3 - 25830000*ln2^2*z3^2 + 
    25200000*ln2*sinf*z3^2 - 11781000*z2*z3^2 - 24192000*ln2*z2*z5 - 
    159327000*sinf*z2*z5 + 411901875*z3*z5 + 94224375*sinf*z7)/14112000, 
 H[1, 0, 1, -1, 1, 0, 1, -1, 1] -> (201600*li4half^2 - 193536000*li8half - 
    77414400*li7half*ln2 - 9676800*li6half*ln2^2 + 16800*li4half*ln2^4 - 
    2530*ln2^8 + 43027200*ln2^2*s6 - 17625600*ln2*s7a + 26323200*ln2*s7b - 
    85694175*s8a - 510249600*s8b - 61286400*s8c - 45763200*s8d - 
    77414400*li7half*sinf - 19353600*li6half*ln2*sinf - 11520*ln2^7*sinf + 
    6220800*ln2*s6*sinf - 16704000*s7a*sinf + 21196800*s7b*sinf + 
    9676800*li6half*z2 + 2419200*li5half*ln2*z2 - 100800*li4half*ln2^2*z2 + 
    2520*ln2^6*z2 + 150292800*s6*z2 + 4838400*li5half*sinf*z2 + 
    604800*li4half*ln2*sinf*z2 + 65520*ln2^5*sinf*z2 - 9142560*li4half*z2^2 - 
    368340*ln2^4*z2^2 - 1270080*ln2^3*sinf*z2^2 - 9985320*ln2^2*z2^3 - 
    2131920*ln2*sinf*z2^3 + 11014974*z2^4 + 79027200*li5half*z3 - 
    705600*li4half*ln2*z3 - 687960*ln2^5*z3 - 403200*li4half*sinf*z3 - 
    16800*ln2^4*sinf*z3 + 7291200*ln2^3*z2*z3 + 705600*ln2^2*sinf*z2*z3 + 
    56074680*ln2*z2^2*z3 - 5842080*sinf*z2^2*z3 - 11800800*ln2^2*z3^2 - 
    16948800*ln2*sinf*z3^2 + 64411200*z2*z3^2 - 42575400*ln2^3*z5 - 
    36716400*ln2^2*sinf*z5 + 104065200*ln2*z2*z5 - 68086800*sinf*z2*z5 - 
    75122775*z3*z5 + 201275325*ln2*z7 + 175464000*sinf*z7)/403200, 
 H[1, 0, 1, -1, 1, 0, 0, 1, 1] -> (-16800000*ln2^2*s6 + 31964100*s8a - 
    94920000*s8b + 33600000*s8c - 33600000*s8d - 26208000*ln2*s6*sinf + 
    26208000*s7a*sinf - 67872000*s7b*sinf + 114240000*s6*z2 + 
    75264000*li5half*sinf*z2 - 627200*ln2^5*sinf*z2 + 7392000*li4half*z2^2 + 
    308000*ln2^4*z2^2 + 6272000*ln2^3*sinf*z2^2 + 10920000*ln2^2*z2^3 - 
    974400*ln2*sinf*z2^3 + 8831836*z2^4 - 45696000*li5half*z3 + 
    380800*ln2^5*z3 - 28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 - 
    3808000*ln2^3*z2*z3 + 17640000*ln2^2*sinf*z2*z3 - 28702800*ln2*z2^2*z3 + 
    29038800*sinf*z2^2*z3 - 10899000*ln2^2*z3^2 + 32760000*ln2*sinf*z3^2 - 
    15351000*z2*z3^2 + 91140000*ln2^2*sinf*z5 - 100800000*ln2*z2*z5 + 
    226716000*sinf*z2*z5 + 33852000*z3*z5 - 506107875*sinf*z7)/9408000, 
 H[1, 0, 1, -1, 1, 0, 0, 0, 1] -> (5376000*ln2^2*s6 + 1968225*s8a + 
    69888000*s8b - 10752000*s8c + 10752000*s8d + 12096000*ln2*s6*sinf - 
    12096000*s7a*sinf + 25536000*s7b*sinf - 45024000*s6*z2 + 
    7795200*li4half*z2^2 + 324800*ln2^4*z2^2 - 7728000*ln2^2*z2^3 - 
    554400*ln2*sinf*z2^3 - 7213904*z2^4 + 16128000*li5half*z3 - 
    134400*ln2^5*z3 + 1344000*ln2^3*z2*z3 + 5044200*ln2*z2^2*z3 - 
    15367800*sinf*z2^2*z3 + 1512000*ln2^2*z3^2 - 15120000*ln2*sinf*z3^2 + 
    6153000*z2*z3^2 - 36456000*ln2^2*sinf*z5 + 32256000*ln2*z2*z5 - 
    85596000*sinf*z2*z5 - 11494875*z3*z5 + 181274625*sinf*z7)/4704000, 
 H[1, 0, 1, -1, 1, 0, 0, -1, 1] -> 
  (-1128960*li4half^2 - 94080*li4half*ln2^4 - 1960*ln2^8 + 1747200*ln2^2*s6 + 
    295680*ln2*s7a - 2714880*ln2*s7b - 1006740*s8a - 8957760*s8b - 
    322560*s8c - 1935360*s8d + 645120*ln2*s6*sinf + 3118080*s7a*sinf - 
    5160960*s7b*sinf + 564480*li4half*ln2^2*z2 + 23520*ln2^6*z2 + 
    4058880*s6*z2 + 1505280*li5half*sinf*z2 - 12544*ln2^5*sinf*z2 + 
    854784*li4half*z2^2 - 34944*ln2^4*z2^2 + 125440*ln2^3*sinf*z2^2 - 
    1589952*ln2^2*z2^3 - 1430688*ln2*sinf*z2^3 - 173380*z2^4 + 
    3118080*li5half*z3 - 1975680*li4half*ln2*z3 - 108304*ln2^5*z3 - 
    846720*li4half*sinf*z3 - 35280*ln2^4*sinf*z3 + 753760*ln2^3*z2*z3 - 
    211680*ln2^2*sinf*z2*z3 + 2416848*ln2*z2^2*z3 + 1627248*sinf*z2^2*z3 + 
    285600*ln2^2*z3^2 + 3144960*ln2*sinf*z3^2 + 900480*z2*z3^2 + 
    2916480*ln2^3*z5 + 8020320*ln2^2*sinf*z5 + 9036720*ln2*z2*z5 + 
    14348880*sinf*z2*z5 - 3118920*z3*z5 - 9545655*ln2*z7 - 25059300*sinf*z7)/
   376320, H[1, 0, 1, -1, 1, 0, -1, 1, 1] -> 
  (141120000*li4half^2 + 9031680000*li8half - 1354752000*li6half*ln2^2 - 
    301056000*li5half*ln2^3 + 11760000*li4half*ln2^4 + 1096200*ln2^8 - 
    2066400000*ln2^2*s6 + 3985893450*s8a + 22959216000*s8b + 2665152000*s8c + 
    2217600000*s8d + 5419008000*li7half*sinf - 451584000*li5half*ln2^2*sinf + 
    2688000*ln2^7*sinf - 917280000*ln2*s6*sinf + 917280000*s7a*sinf - 
    1368864000*s7b*sinf + 1354752000*li6half*z2 + 564480000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 8898400*ln2^6*z2 - 6142752000*s6*z2 - 
    903168000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*z2 - 
    11054400*ln2^5*sinf*z2 + 399772800*li4half*z2^2 + 44293200*ln2^4*z2^2 + 
    158995200*ln2^3*sinf*z2^2 + 411717600*ln2^2*z2^3 + 
    238744800*ln2*sinf*z2^3 - 846100728*z2^4 - 2939328000*li5half*z3 + 
    395136000*li4half*ln2*z3 + 40958400*ln2^5*z3 - 49392000*li4half*sinf*z3 - 
    2058000*ln2^4*sinf*z3 - 417816000*ln2^3*z2*z3 + 
    97020000*ln2^2*sinf*z2*z3 - 2626218000*ln2*z2^2*z3 + 
    426182400*sinf*z2^2*z3 - 148995000*ln2^2*z3^2 + 
    1146600000*ln2*sinf*z3^2 - 3153843000*z2*z3^2 + 145824000*ln2^3*z5 + 
    2433438000*ln2^2*sinf*z5 - 8279460000*ln2*z2*z5 + 5422536000*sinf*z2*z5 + 
    2695817250*z3*z5 - 12721582125*sinf*z7)/56448000, 
 H[1, 0, 1, -1, 1, 0, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    48384000*ln2^2*s6 - 43783425*s8a + 135072000*s8b - 96768000*s8c + 
    96768000*s8d - 20160000*ln2*s6*sinf + 20160000*s7a*sinf + 
    133056000*s7b*sinf - 1016064000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 823200*ln2^6*z2 - 673344000*s6*z2 + 
    84672000*li4half*ln2*sinf*z2 + 3528000*ln2^5*sinf*z2 - 
    36741600*li4half*z2^2 - 6822900*ln2^4*z2^2 - 21168000*ln2^3*sinf*z2^2 + 
    52957800*ln2^2*z2^3 + 5569200*ln2*sinf*z2^3 + 102098532*z2^4 - 
    137088000*li5half*z3 - 98784000*li4half*ln2*z3 - 2973600*ln2^5*z3 + 
    119952000*li4half*sinf*z3 + 4998000*ln2^4*sinf*z3 + 
    13272000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 + 17262000*ln2*z2^2*z3 - 
    108901800*sinf*z2^2*z3 - 4914000*ln2^2*z3^2 + 25200000*ln2*sinf*z3^2 + 
    197379000*z2*z3^2 - 109368000*ln2^2*sinf*z5 + 454356000*ln2*z2*z5 - 
    485667000*sinf*z2*z5 + 236446875*z3*z5 + 970932375*sinf*z7)/14112000, 
 H[1, 0, 1, -1, 1, 0, -1, -1, 1] -> 
  (18063360000*li8half + 10838016000*li7half*ln2 + 2709504000*li6half*ln2^2 + 
    301056000*li5half*ln2^3 - 448000*ln2^8 - 3397968000*ln2^2*s6 + 
    2316384000*ln2*s7a - 3384864000*ln2*s7b + 7126785225*s8a + 
    42701400000*s8b + 5098464000*s8c + 3650976000*s8d + 
    5419008000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf - 1075200*ln2^7*sinf + 
    282240000*ln2*s6*sinf + 1185408000*s7a*sinf - 1778112000*s7b*sinf - 
    1354752000*li6half*z2 - 451584000*li5half*ln2*z2 + 3136000*ln2^6*z2 - 
    12410496000*s6*z2 + 28224000*li5half*sinf*z2 + 3528000*ln2^5*sinf*z2 + 
    742896000*li4half*z2^2 + 21546000*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 + 
    724701600*ln2^2*z2^3 - 24998400*ln2*sinf*z2^3 - 968711904*z2^4 - 
    7323120000*li5half*z3 + 61026000*ln2^5*z3 - 21168000*li4half*sinf*z3 - 
    882000*ln2^4*sinf*z3 - 610260000*ln2^3*z2*z3 - 
    116424000*ln2^2*sinf*z2*z3 - 4610050200*ln2*z2^2*z3 + 
    498859200*sinf*z2^2*z3 + 1861209000*ln2^2*z3^2 + 
    1125873000*ln2*sinf*z3^2 - 5281794000*z2*z3^2 + 5377260000*ln2^3*z5 + 
    2652174000*ln2^2*sinf*z5 - 4955454000*ln2*z2*z5 + 5185719000*sinf*z2*z5 + 
    6560292375*z3*z5 - 26092954125*ln2*z7 - 13639027500*sinf*z7)/56448000, 
 H[1, 0, 1, -1, 1, -1, 1, 1, 1] -> (14112000*li4half^2 - 178752000*li8half - 
    3136000*li5half*ln2^3 - 588000*li4half*ln2^4 - 27300*ln2^8 + 
    2016000*ln2^2*s6 - 23374050*s8a - 210168000*s8b - 4032000*s8c - 
    38304000*s8d + 56448000*li7half*sinf - 2352000*li4half*ln2^3*sinf - 
    109200*ln2^7*sinf - 11592000*ln2*s6*sinf + 11592000*s7a*sinf + 
    15120000*s7b*sinf + 9408000*li5half*ln2*z2 + 3528000*li4half*ln2^2*z2 + 
    372400*ln2^6*z2 + 97776000*s6*z2 - 14112000*li5half*sinf*z2 - 
    14112000*li4half*ln2*sinf*z2 - 529200*ln2^5*sinf*z2 - 
    8013600*li4half*z2^2 - 1230600*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 + 
    1738800*ln2^2*z2^3 + 10180800*ln2*sinf*z2^3 + 19862352*z2^4 + 
    88368000*li5half*z3 + 24696000*li4half*ln2*z3 + 361200*ln2^5*z3 + 
    1764000*li4half*sinf*z3 + 73500*ln2^4*sinf*z3 + 504000*ln2^3*z2*z3 - 
    21609000*ln2^2*sinf*z2*z3 + 6224400*ln2*z2^2*z3 - 9065700*sinf*z2^2*z3 + 
    12400500*ln2^2*z3^2 + 14490000*ln2*sinf*z3^2 + 1333500*z2*z3^2 + 
    4557000*ln2^3*z5 - 3417750*ln2^2*sinf*z5 - 1575000*ln2*z2*z5 - 
    51360750*sinf*z2*z5 - 25756500*z3*z5 + 83131125*sinf*z7)/4704000, 
 H[1, 0, 1, -1, 1, -1, 1, 0, 1] -> 
  (-31752000*li4half^2 - 2646000*li4half*ln2^4 - 55125*ln2^8 + 
    48384000*ln2^2*s6 - 121939650*s8a - 612864000*s8b - 96768000*s8c - 
    44352000*s8d - 225792000*li7half*sinf + 44800*ln2^7*sinf + 
    28224000*ln2*s6*sinf - 28224000*s7a*sinf + 28224000*s7b*sinf - 
    21168000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    5292000*li4half*ln2^2*z2 - 132300*ln2^6*z2 + 164556000*s6*z2 - 
    10584000*li4half*ln2*sinf*z2 - 1381800*ln2^5*sinf*z2 - 
    932400*li4half*z2^2 + 5179650*ln2^4*z2^2 - 2763600*ln2^3*sinf*z2^2 - 
    23114700*ln2^2*z2^3 - 21105000*ln2*sinf*z2^3 - 4297149*z2^4 + 
    116928000*li5half*z3 - 974400*ln2^5*z3 + 21168000*li4half*sinf*z3 + 
    882000*ln2^4*sinf*z3 + 10773000*ln2^3*z2*z3 + 5292000*ln2^2*sinf*z2*z3 + 
    110842200*ln2*z2^2*z3 - 11025000*sinf*z2^2*z3 + 7434000*ln2^2*z3^2 - 
    35280000*ln2*sinf*z3^2 + 105320250*z2*z3^2 - 54684000*ln2^2*sinf*z5 + 
    310810500*ln2*z2*z5 - 77616000*sinf*z2*z5 - 198875250*z3*z5 + 
    321819750*sinf*z7)/7056000, H[1, 0, 1, -1, 1, -1, 1, -1, 1] -> 
  (1721664000*li8half + 282240000*li7half*ln2 + 42336000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 10584000*li4half*ln2^4 + 329700*ln2^8 - 
    201096000*ln2^2*s6 + 68544000*ln2*s7a + 26208000*ln2*s7b + 
    374182200*s8a + 2598624000*s8b + 243936000*s8c + 228816000*s8d + 
    84672000*li6half*ln2*sinf + 14112000*li4half*ln2^3*sinf + 
    705600*ln2^7*sinf - 21168000*ln2*s6*sinf - 42336000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 63504000*li4half*ln2^2*z2 - 4214000*ln2^6*z2 - 
    683424000*s6*z2 - 42336000*li4half*ln2*sinf*z2 - 1411200*ln2^5*sinf*z2 + 
    26712000*li4half*z2^2 + 11285400*ln2^4*z2^2 + 705600*ln2^3*sinf*z2^2 + 
    23562000*ln2^2*z2^3 + 2268000*ln2*sinf*z2^3 - 100413648*z2^4 - 
    429408000*li5half*z3 + 169344000*li4half*ln2*z3 + 10222800*ln2^5*z3 + 
    21168000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 - 74004000*ln2^3*z2*z3 + 
    15876000*ln2^2*sinf*z2*z3 - 347596200*ln2*z2^2*z3 - 
    3704400*sinf*z2^2*z3 + 44541000*ln2^2*z3^2 - 1323000*ln2*sinf*z3^2 - 
    267624000*z2*z3^2 + 13671000*ln2^3*z5 - 725445000*ln2*z2*z5 + 
    7938000*sinf*z2*z5 + 99697500*z3*z5 - 147538125*ln2*z7 - 
    28224000*sinf*z7)/28224000, H[1, 0, 1, -1, 1, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    32659200*ln2^2*s6 - 61642350*s8a - 367113600*s8b - 65318400*s8c - 
    2419200*s8d - 10080000*ln2*s6*sinf + 10080000*s7a*sinf - 
    102816000*s7b*sinf - 146764800*li6half*z2 - 45158400*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 + 54880*ln2^6*z2 - 14918400*s6*z2 + 
    90316800*li5half*sinf*z2 + 33868800*li4half*ln2*sinf*z2 + 
    658560*ln2^5*sinf*z2 + 25200000*li4half*z2^2 + 2814000*ln2^4*z2^2 - 
    3763200*ln2^3*sinf*z2^2 + 8477280*ln2^2*z2^3 - 9686880*ln2*sinf*z2^3 - 
    1275048*z2^4 - 147571200*li5half*z3 - 79027200*li4half*ln2*z3 - 
    2063040*ln2^5*z3 - 23990400*li4half*sinf*z3 - 999600*ln2^4*sinf*z3 + 
    10752000*ln2^3*z2*z3 + 61034400*ln2^2*sinf*z2*z3 + 55535760*ln2*z2^2*z3 + 
    46670400*sinf*z2^2*z3 - 22919400*ln2^2*z3^2 + 12600000*ln2*sinf*z3^2 + 
    117167400*z2*z3^2 + 109368000*ln2^2*sinf*z5 + 261576000*ln2*z2*z5 + 
    304138800*sinf*z2*z5 + 29367450*z3*z5 - 714456225*sinf*z7)/11289600, 
 H[1, 0, 1, -1, 1, -1, 0, 0, 1] -> 
  (4233600*li4half^2 + 352800*li4half*ln2^4 + 7350*ln2^8 - 9273600*ln2^2*s6 + 
    24955875*s8a + 127638000*s8b + 18547200*s8c + 9676800*s8d + 
    4435200*ln2*s6*sinf - 4435200*s7a*sinf + 9676800*s7b*sinf + 
    22579200*li6half*z2 - 2116800*li4half*ln2^2*z2 - 56840*ln2^6*z2 - 
    27820800*s6*z2 + 1088640*li4half*z2^2 - 160440*ln2^4*z2^2 - 
    2116800*ln2^3*sinf*z2^2 + 1194480*ln2^2*z2^3 + 1590120*ln2*sinf*z2^3 - 
    2191617*z2^4 - 23587200*li5half*z3 + 196560*ln2^5*z3 - 
    3175200*li4half*sinf*z3 - 132300*ln2^4*sinf*z3 - 1965600*ln2^3*z2*z3 - 
    793800*ln2^2*sinf*z2*z3 - 23066820*ln2*z2^2*z3 - 3602340*sinf*z2^2*z3 - 
    1682100*ln2^2*z3^2 - 5544000*ln2*sinf*z3^2 - 24538500*z2*z3^2 - 
    13671000*ln2^2*sinf*z5 - 55641600*ln2*z2*z5 - 31512600*sinf*z2*z5 + 
    43274700*z3*z5 + 60067350*sinf*z7)/1411200, 
 H[1, 0, 1, -1, 1, -1, 0, -1, 1] -> 
  (-225792000*li4half^2 - 18063360000*li8half - 7225344000*li7half*ln2 - 
    903168000*li6half*ln2^2 - 18816000*li4half*ln2^4 - 660800*ln2^8 + 
    3965472000*ln2^2*s6 - 1610784000*ln2*s7a + 1776096000*ln2*s7b - 
    7258601700*s8a - 43843968000*s8b - 5160960000*s8c - 3927168000*s8d - 
    7225344000*li7half*sinf - 1806336000*li6half*ln2*sinf - 
    1075200*ln2^7*sinf + 854784000*ln2*s6*sinf - 1306368000*s7a*sinf + 
    1516032000*s7b*sinf + 536256000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 5880000*ln2^6*z2 + 12490128000*s6*z2 + 
    451584000*li5half*sinf*z2 + 254016000*li4half*ln2*sinf*z2 + 
    14347200*ln2^5*sinf*z2 - 525772800*li4half*z2^2 - 46015200*ln2^4*z2^2 - 
    153820800*ln2^3*sinf*z2^2 - 1071756000*ln2^2*z2^3 - 
    418219200*ln2*sinf*z2^3 + 1000611648*z2^4 + 7007616000*li5half*z3 - 
    839664000*li4half*ln2*z3 - 93382800*ln2^5*z3 - 
    183456000*li4half*sinf*z3 - 7644000*ln2^4*sinf*z3 + 
    802116000*ln2^3*z2*z3 + 67032000*ln2^2*sinf*z2*z3 + 
    5241902400*ln2*z2^2*z3 - 369180000*sinf*z2^2*z3 - 1190700000*ln2^2*z3^2 - 
    1414224000*ln2*sinf*z3^2 + 5546961000*z2*z3^2 - 3281040000*ln2^3*z5 - 
    2734200000*ln2^2*sinf*z5 + 10323810000*ln2*z2*z5 - 
    4971960000*sinf*z2*z5 - 6157210500*z3*z5 + 15619534875*ln2*z7 + 
    14160636000*sinf*z7)/56448000, H[1, 0, 1, -1, 1, -1, -1, 1, 1] -> 
  (1495872000*li8half - 127008000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 
    10584000*li4half*ln2^4 + 380100*ln2^8 - 226296000*ln2^2*s6 + 
    554059800*s8a + 3207456000*s8b + 304416000*s8c + 394128000*s8d + 
    479808000*li7half*sinf - 42336000*li5half*ln2^2*sinf + 
    14112000*li4half*ln2^3*sinf + 845600*ln2^7*sinf - 64512000*ln2*s6*sinf + 
    64512000*s7a*sinf - 245952000*s7b*sinf + 127008000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 3234000*ln2^6*z2 - 
    1063440000*s6*z2 - 127008000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 + 
    89409600*li4half*z2^2 + 12486600*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 + 
    65394000*ln2^2*z2^3 - 17488800*ln2*sinf*z2^3 - 175238712*z2^4 - 
    611856000*li5half*z3 + 4687200*ln2^5*z3 - 10584000*li4half*sinf*z3 - 
    441000*ln2^4*sinf*z3 - 46872000*ln2^3*z2*z3 + 119070000*ln2^2*sinf*z2*
     z3 - 292660200*ln2*z2^2*z3 + 92849400*sinf*z2^2*z3 - 
    86026500*ln2^2*z3^2 + 80640000*ln2*sinf*z3^2 - 326434500*z2*z3^2 - 
    41013000*ln2^3*z5 + 280255500*ln2^2*sinf*z5 - 872235000*ln2*z2*z5 + 
    1080796500*sinf*z2*z5 + 368187750*z3*z5 - 2172326625*sinf*z7)/28224000, 
 H[1, 0, 1, -1, 1, -1, -1, 0, 1] -> 
  (39513600*li4half^2 + 3292800*li4half*ln2^4 + 68600*ln2^8 - 
    48182400*ln2^2*s6 + 151463025*s8a + 846216000*s8b + 96364800*s8c + 
    92736000*s8d + 316108800*li7half*sinf - 62720*ln2^7*sinf - 
    82252800*ln2*s6*sinf + 82252800*s7a*sinf + 14515200*s7b*sinf - 
    141120000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 627200*ln2^6*z2 - 351993600*s6*z2 - 
    5644800*li5half*sinf*z2 + 33868800*li4half*ln2*sinf*z2 + 
    2775360*ln2^5*sinf*z2 - 28586880*li4half*z2^2 - 10305120*ln2^4*z2^2 - 
    658560*ln2^3*sinf*z2^2 + 48252960*ln2^2*z2^3 + 31006080*ln2*sinf*z2^3 + 
    20841336*z2^4 - 158659200*li5half*z3 - 19756800*li4half*ln2*z3 + 
    498960*ln2^5*z3 + 52214400*li4half*sinf*z3 + 2175600*ln2^4*sinf*z3 - 
    9928800*ln2^3*z2*z3 - 15170400*ln2^2*sinf*z2*z3 - 144811800*ln2*z2^2*z3 - 
    45662400*sinf*z2^2*z3 - 12316500*ln2^2*z3^2 + 102816000*ln2*sinf*z3^2 - 
    127707300*z2*z3^2 + 65620800*ln2^2*sinf*z5 - 346512600*ln2*z2*z5 - 
    92824200*sinf*z2*z5 + 380376675*z3*z5 + 2264850*sinf*z7)/11289600, 
 H[1, 0, 1, -1, 1, -1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 1862784000*li8half - 112896000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 
    12936000*li4half*ln2^4 - 435400*ln2^8 + 317520000*ln2^2*s6 - 
    23184000*ln2*s7a - 143136000*ln2*s7b - 510981975*s8a - 3511872000*s8b - 
    334656000*s8c - 349776000*s8d - 536256000*li7half*sinf - 
    28224000*li6half*ln2*sinf + 42336000*li5half*ln2^2*sinf - 
    14112000*li4half*ln2^3*sinf - 873600*ln2^7*sinf + 181440000*ln2*s6*sinf - 
    75600000*s7a*sinf + 2016000*s7b*sinf + 14112000*li6half*z2 - 
    42336000*li5half*ln2*z2 + 35280000*li4half*ln2^2*z2 + 3743600*ln2^6*z2 + 
    988848000*s6*z2 + 70560000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*
     z2 + 2704800*ln2^5*sinf*z2 - 35380800*li4half*z2^2 - 
    11235000*ln2^4*z2^2 - 19756800*ln2^3*sinf*z2^2 - 97599600*ln2^2*z2^3 - 
    78422400*ln2*sinf*z2^3 + 107392104*z2^4 + 537264000*li5half*z3 - 
    134064000*li4half*ln2*z3 - 9651600*ln2^5*z3 - 28224000*li4half*sinf*z3 - 
    1176000*ln2^4*sinf*z3 + 74172000*ln2^3*z2*z3 - 
    35280000*ln2^2*sinf*z2*z3 + 452818800*ln2*z2^2*z3 + 
    2772000*sinf*z2^2*z3 + 58432500*ln2^2*z3^2 - 57015000*ln2*sinf*z3^2 + 
    366754500*z2*z3^2 + 157216500*ln2^3*z5 - 54684000*ln2^2*sinf*z5 + 
    1407672000*ln2*z2*z5 - 116172000*sinf*z2*z5 - 162311625*z3*z5 - 
    424651500*ln2*z7 + 568141875*sinf*z7)/28224000, 
 H[1, 0, 1, -1, 0, 1, 1, 1, 1] -> (4032000*li4half^2 + 336000*li4half*ln2^4 + 
    7000*ln2^8 + 6048000*ln2^2*s6 + 2642850*s8a + 48384000*s8b - 
    12096000*s8c + 12096000*s8d + 15264000*ln2*s6*sinf - 15264000*s7a*sinf - 
    15264000*s7b*sinf - 2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 - 
    24192000*s6*z2 + 12096000*li4half*ln2*sinf*z2 + 504000*ln2^5*sinf*z2 + 
    34876800*li4half*z2^2 + 1705200*ln2^4*z2^2 - 3024000*ln2^3*sinf*z2^2 - 
    8416800*ln2^2*z2^3 - 8805600*ln2*sinf*z2^3 - 25067664*z2^4 - 
    24192000*li5half*z3 - 14112000*li4half*ln2*z3 - 386400*ln2^5*z3 - 
    32256000*li4half*sinf*z3 - 1344000*ln2^4*sinf*z3 + 1512000*ln2^3*z2*z3 + 
    18648000*ln2^2*sinf*z2*z3 + 6325200*ln2*z2^2*z3 + 9781200*sinf*z2^2*z3 - 
    4473000*ln2^2*z3^2 - 19080000*ln2*sinf*z3^2 + 13923000*z2*z3^2 + 
    36288000*ln2*z2*z5 + 27828000*sinf*z2*z5 + 55550250*z3*z5 - 
    43696125*sinf*z7)/8064000, H[1, 0, 1, -1, 0, 1, 1, 0, 1] -> 
  (-3834075*s8a - 15456000*s8b - 2880000*ln2*s6*sinf + 2880000*s7a*sinf + 
    2880000*s7b*sinf + 4704000*s6*z2 - 4435200*li4half*z2^2 - 
    184800*ln2^4*z2^2 + 1108800*ln2^2*z2^3 + 1980000*ln2*sinf*z2^3 + 
    2857488*z2^4 + 10752000*li4half*sinf*z3 + 448000*ln2^4*sinf*z3 - 
    2688000*ln2^2*sinf*z2*z3 + 1365000*ln2*z2^2*z3 - 2982600*sinf*z2^2*z3 + 
    3600000*ln2*sinf*z3^2 + 231000*z2*z3^2 - 7347000*sinf*z2*z5 - 
    6906375*z3*z5 + 9848625*sinf*z7)/1344000, 
 H[1, 0, 1, -1, 0, 1, 1, -1, 1] -> 
  (-141120000*li4half^2 + 13547520000*li8half + 5419008000*li7half*ln2 + 
    677376000*li6half*ln2^2 - 11760000*li4half*ln2^4 - 43400*ln2^8 - 
    2694384000*ln2^2*s6 + 1296288000*ln2*s7a - 1201536000*ln2*s7b + 
    4866531075*s8a + 30472344000*s8b + 3388896000*s8c + 2792160000*s8d + 
    5419008000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    806400*ln2^7*sinf - 786240000*ln2*s6*sinf + 1378944000*s7a*sinf - 
    1514016000*s7b*sinf - 677376000*li6half*z2 + 112896000*li4half*ln2^2*z2 + 
    2822400*ln2^6*z2 - 8971200000*s6*z2 - 479808000*li5half*sinf*z2 - 
    508032000*li4half*ln2*sinf*z2 - 22814400*ln2^5*sinf*z2 + 
    524563200*li4half*z2^2 + 16564800*ln2^4*z2^2 + 
    193569600*ln2^3*sinf*z2^2 + 702878400*ln2^2*z2^3 + 
    240760800*ln2*sinf*z2^3 - 752911848*z2^4 - 4688208000*li5half*z3 + 
    642096000*li4half*ln2*z3 + 65822400*ln2^5*z3 + 
    338688000*li4half*sinf*z3 + 14112000*ln2^4*sinf*z3 - 
    625296000*ln2^3*z2*z3 - 195804000*ln2^2*sinf*z2*z3 - 
    3355367400*ln2*z2^2*z3 + 319384800*sinf*z2^2*z3 + 1000251000*ln2^2*z3^2 + 
    1436589000*ln2*sinf*z3^2 - 3572730000*z2*z3^2 + 2419767000*ln2^3*z5 + 
    2802555000*ln2^2*sinf*z5 - 6559119000*ln2*z2*z5 + 5028219000*sinf*z2*z5 + 
    3376587375*z3*z5 - 11383942500*ln2*z7 - 12369160125*sinf*z7)/56448000, 
 H[1, 0, 1, -1, 0, 1, 0, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    6048000*ln2^2*s6 + 10598175*s8a + 2268000*s8b + 12096000*s8c - 
    12096000*s8d - 8352000*ln2*s6*sinf + 8352000*s7a*sinf + 
    8352000*s7b*sinf + 2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 
    27216000*s6*z2 - 12096000*li4half*ln2*sinf*z2 - 504000*ln2^5*sinf*z2 - 
    2016000*li4half*z2^2 - 336000*ln2^4*z2^2 + 3024000*ln2^3*sinf*z2^2 + 
    201600*ln2^2*z2^3 + 4431600*ln2*sinf*z2^3 + 4612698*z2^4 + 
    24192000*li5half*z3 + 14112000*li4half*ln2*z3 + 386400*ln2^5*z3 + 
    8064000*li4half*sinf*z3 + 336000*ln2^4*sinf*z3 - 1512000*ln2^3*z2*z3 - 
    12600000*ln2^2*sinf*z2*z3 - 13028400*ln2*z2^2*z3 - 9154800*sinf*z2^2*z3 + 
    4473000*ln2^2*z3^2 + 10440000*ln2*sinf*z3^2 - 7402500*z2*z3^2 - 
    36288000*ln2*z2*z5 - 18454500*sinf*z2*z5 - 14970375*z3*z5 + 
    53214750*sinf*z7)/2016000, H[1, 0, 1, -1, 0, 1, 0, 0, 1] -> 
  (32925*s8a + 66000*s8b + 96000*ln2*s6*sinf - 96000*s7a*sinf - 
    96000*s7b*sinf + 96000*li4half*z2^2 + 4000*ln2^4*z2^2 - 
    24000*ln2^2*z2^3 - 600*ln2*sinf*z2^3 - 54517*z2^4 - 
    192000*li4half*sinf*z3 - 8000*ln2^4*sinf*z3 + 48000*ln2^2*sinf*z2*z3 - 
    9900*ln2*z2^2*z3 + 30300*sinf*z2^2*z3 - 120000*ln2*sinf*z3^2 - 
    28500*z2*z3^2 + 297750*sinf*z2*z5 + 207375*z3*z5 - 443625*sinf*z7)/24000, 
 H[1, 0, 1, -1, 0, 1, 0, -1, 1] -> (-28224000*ln2^2*s6 - 12096000*ln2*s7a - 
    87360000*ln2*s7b + 129186225*s8a + 356664000*s8b + 118272000*s8c - 
    5376000*s8d + 51072000*ln2*s6*sinf - 13440000*s7a*sinf - 
    88704000*s7b*sinf - 57456000*s6*z2 + 112896000*li5half*sinf*z2 + 
    56448000*li4half*ln2*sinf*z2 + 1411200*ln2^5*sinf*z2 + 
    16564800*li4half*z2^2 + 690200*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 + 
    193200*ln2^2*z2^3 - 6417600*ln2*sinf*z2^3 - 11236884*z2^4 - 
    186816000*li5half*z3 - 98784000*li4half*ln2*z3 - 2559200*ln2^5*z3 - 
    37632000*li4half*sinf*z3 - 1568000*ln2^4*sinf*z3 + 9128000*ln2^3*z2*z3 + 
    9408000*ln2^2*sinf*z2*z3 - 76734000*ln2*z2^2*z3 + 31206000*sinf*z2^2*z3 - 
    12054000*ln2^2*z3^2 + 22596000*ln2*sinf*z3^2 - 108475500*z2*z3^2 + 
    72912000*ln2^3*z5 + 72912000*ln2^2*sinf*z5 - 95844000*ln2*z2*z5 + 
    168619500*sinf*z2*z5 + 389261250*z3*z5 - 270254250*ln2*z7 - 
    489410250*sinf*z7)/9408000, H[1, 0, 1, -1, 0, 1, -1, 1, 1] -> 
  (25401600*li4half^2 - 903168000*li8half + 135475200*li6half*ln2^2 + 
    30105600*li5half*ln2^3 + 2116800*li4half*ln2^4 - 41020*ln2^8 + 
    206438400*ln2^2*s6 - 345317175*s8a - 2148955200*s8b - 252000000*s8c - 
    191116800*s8d - 541900800*li7half*sinf + 45158400*li5half*ln2^2*sinf - 
    268800*ln2^7*sinf + 138096000*ln2*s6*sinf - 138096000*s7a*sinf + 
    159667200*s7b*sinf - 135475200*li6half*z2 - 90316800*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 3920*ln2^6*z2 + 523353600*s6*z2 + 
    90316800*li5half*sinf*z2 + 33868800*li4half*ln2*sinf*z2 + 
    2163840*ln2^5*sinf*z2 - 38364480*li4half*z2^2 - 2598120*ln2^4*z2^2 - 
    22249920*ln2^3*sinf*z2^2 - 37139760*ln2^2*z2^3 - 18214560*ln2*sinf*z2^3 + 
    64693836*z2^4 + 269337600*li5half*z3 - 2244480*ln2^5*z3 - 
    36691200*li4half*sinf*z3 - 1528800*ln2^4*sinf*z3 + 37262400*ln2^3*z2*z3 + 
    9172800*ln2^2*sinf*z2*z3 + 243953640*ln2*z2^2*z3 - 
    32145120*sinf*z2^2*z3 + 11755800*ln2^2*z3^2 - 172620000*ln2*sinf*z3^2 + 
    295898400*z2*z3^2 - 42835800*ln2^3*z5 - 352711800*ln2^2*sinf*z5 + 
    884507400*ln2*z2*z5 - 568953000*sinf*z2*z5 - 198202725*z3*z5 + 
    1278246375*sinf*z7)/5644800, H[1, 0, 1, -1, 0, 1, -1, 0, 1] -> 
  (-5913600*ln2^2*s6 + 3247125*s8a + 3326400*s8b + 11827200*s8c - 
    11827200*s8d - 9676800*ln2*s6*sinf + 9676800*s7a*sinf - 
    5376000*s7b*sinf + 135475200*li6half*z2 + 45158400*li5half*ln2*z2 - 
    188160*ln2^6*z2 + 99388800*s6*z2 - 15052800*li5half*sinf*z2 - 
    11289600*li4half*ln2*sinf*z2 - 344960*ln2^5*sinf*z2 - 
    2036160*li4half*z2^2 + 855960*ln2^4*z2^2 + 1568000*ln2^3*sinf*z2^2 - 
    5905200*ln2^2*z2^3 - 3978240*ln2*sinf*z2^3 - 8016468*z2^4 + 
    34944000*li5half*z3 + 13171200*li4half*ln2*z3 + 257600*ln2^5*z3 + 
    3763200*li4half*sinf*z3 + 156800*ln2^4*sinf*z3 - 380800*ln2^3*z2*z3 - 
    940800*ln2^2*sinf*z2*z3 - 3758160*ln2*z2^2*z3 - 1135680*sinf*z2^2*z3 - 
    1663200*ln2^2*z3^2 + 12096000*ln2*sinf*z3^2 - 36403500*z2*z3^2 + 
    14582400*ln2^2*sinf*z5 - 99735300*ln2*z2*z5 + 27008100*sinf*z2*z5 - 
    34085100*z3*z5 - 11661300*sinf*z7)/1881600, 
 H[1, 0, 1, -1, 0, 1, -1, -1, 1] -> 
  (-112896000*li4half^2 - 4515840000*li8half - 5419008000*li7half*ln2 - 
    2032128000*li6half*ln2^2 - 301056000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 + 453600*ln2^8 + 77616000*ln2^2*s6 - 
    1167264000*ln2*s7a + 1161216000*ln2*s7b - 520003575*s8a - 
    5800536000*s8b - 163296000*s8c - 655200000*s8d - 
    1354752000*li6half*ln2*sinf - 451584000*li5half*ln2^2*sinf + 
    1881600*ln2^7*sinf - 782208000*ln2*s6*sinf + 48384000*s7a*sinf - 
    205632000*s7b*sinf + 677376000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    98784000*li4half*ln2^2*z2 - 901600*ln2^6*z2 + 2086560000*s6*z2 - 
    28224000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    16228800*ln2^5*sinf*z2 - 67536000*li4half*z2^2 + 3066000*ln2^4*z2^2 + 
    146529600*ln2^3*sinf*z2^2 - 8719200*ln2^2*z2^3 + 
    119448000*ln2*sinf*z2^3 + 201355488*z2^4 + 1529136000*li5half*z3 + 
    49392000*li4half*ln2*z3 - 10684800*ln2^5*z3 + 84672000*li4half*sinf*z3 + 
    3528000*ln2^4*sinf*z3 + 40992000*ln2^3*z2*z3 - 
    132300000*ln2^2*sinf*z2*z3 + 246871800*ln2*z2^2*z3 + 
    8845200*sinf*z2^2*z3 - 834813000*ln2^2*z3^2 + 530145000*ln2*sinf*z3^2 + 
    74403000*z2*z3^2 - 1827357000*ln2^3*z5 + 888615000*ln2^2*sinf*z5 - 
    3636486000*ln2*z2*z5 + 600075000*sinf*z2*z5 + 325229625*z3*z5 + 
    11443335750*ln2*z7 - 942070500*sinf*z7)/56448000, 
 H[1, 0, 1, -1, 0, 0, 1, 1, 1] -> (4032000*li4half^2 + 336000*li4half*ln2^4 + 
    7000*ln2^8 + 6048000*ln2^2*s6 - 1269450*s8a - 45360000*s8b - 
    12096000*s8c + 12096000*s8d + 1440000*ln2*s6*sinf - 1440000*s7a*sinf - 
    1440000*s7b*sinf - 2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 - 
    24192000*s6*z2 + 12096000*li4half*ln2*sinf*z2 + 504000*ln2^5*sinf*z2 - 
    26006400*li4half*z2^2 - 831600*ln2^4*z2^2 - 3024000*ln2^3*sinf*z2^2 + 
    6804000*ln2^2*z2^3 + 396000*ln2*sinf*z2^3 - 2286072*z2^4 - 
    24192000*li5half*z3 - 14112000*li4half*ln2*z3 - 386400*ln2^5*z3 + 
    16128000*li4half*sinf*z3 + 672000*ln2^4*sinf*z3 + 1512000*ln2^3*z2*z3 + 
    6552000*ln2^2*sinf*z2*z3 + 11264400*ln2*z2^2*z3 - 4273200*sinf*z2^2*z3 - 
    4473000*ln2^2*z3^2 - 1800000*ln2*sinf*z3^2 + 13923000*z2*z3^2 + 
    36288000*ln2*z2*z5 + 23760000*sinf*z2*z5 + 34602750*z3*z5 - 
    47471625*sinf*z7)/4032000, H[1, 0, 1, -1, 0, 0, 1, 0, 1] -> 
  (-978075*s8a + 7728000*s8b + 960000*ln2*s6*sinf - 960000*s7a*sinf - 
    960000*s7b*sinf - 3360000*s6*z2 + 1075200*li4half*z2^2 + 
    44800*ln2^4*z2^2 - 268800*ln2^2*z2^3 - 1701600*ln2*sinf*z2^3 + 
    500448*z2^4 - 5376000*li4half*sinf*z3 - 224000*ln2^4*sinf*z3 + 
    1344000*ln2^2*sinf*z2*z3 + 844200*ln2*z2^2*z3 + 2758200*sinf*z2^2*z3 - 
    1200000*ln2*sinf*z3^2 + 903000*z2*z3^2 + 3051000*sinf*z2*z5 - 
    7200375*z3*z5 - 6502875*sinf*z7)/672000, 
 H[1, 0, 1, -1, 0, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    338688000*ln2^2*s6 + 50400000*ln2*s7a - 231840000*ln2*s7b + 
    685228950*s8a + 3611664000*s8b + 548352000*s8c + 383040000*s8d + 
    173376000*ln2*s6*sinf - 201600000*s7a*sinf + 193536000*s7b*sinf - 
    28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 1217664000*s6*z2 + 
    169344000*li4half*ln2*sinf*z2 + 7056000*ln2^5*sinf*z2 + 
    66024000*li4half*z2^2 + 6279000*ln2^4*z2^2 - 42336000*ln2^3*sinf*z2^2 + 
    108990000*ln2^2*z2^3 + 25149600*ln2*sinf*z2^3 + 1528992*z2^4 - 
    766080000*li5half*z3 - 148176000*li4half*ln2*z3 + 210000*ln2^5*z3 - 
    112896000*li4half*sinf*z3 - 4704000*ln2^4*sinf*z3 - 
    26796000*ln2^3*z2*z3 + 28224000*ln2^2*sinf*z2*z3 - 
    402192000*ln2*z2^2*z3 + 100800*sinf*z2^2*z3 - 21168000*ln2^2*z3^2 - 
    266112000*ln2*sinf*z3^2 - 577080000*z2*z3^2 + 273420000*ln2^3*z5 - 
    382788000*ln2^2*sinf*z5 - 1125211500*ln2*z2*z5 - 561015000*sinf*z2*z5 + 
    1236438000*z3*z5 - 1009960875*ln2*z7 + 800919000*sinf*z7)/28224000, 
 H[1, 0, 1, -1, 0, 0, 0, 1, 1] -> 
  (-345975*s8a + 2100000*s8b - 384000*ln2*s6*sinf + 384000*s7a*sinf + 
    384000*s7b*sinf - 1680000*s6*z2 - 537600*li4half*z2^2 - 
    22400*ln2^4*z2^2 + 134400*ln2^2*z2^3 + 322800*ln2*sinf*z2^3 + 
    87274*z2^4 + 1344000*li4half*sinf*z3 + 56000*ln2^4*sinf*z3 - 
    336000*ln2^2*sinf*z2*z3 - 235200*ln2*z2^2*z3 - 673200*sinf*z2^2*z3 + 
    480000*ln2*sinf*z3^2 - 10500*z2*z3^2 - 4162500*sinf*z2*z5 + 
    1021125*z3*z5 + 7498875*sinf*z7)/336000, H[1, 0, 1, -1, 0, 0, 0, 0, 1] -> 
  (-12075*s8a - 252000*s8b + 96000*s6*z2 - 38400*li4half*z2^2 - 
    1600*ln2^4*z2^2 + 9600*ln2^2*z2^3 + 54000*ln2*sinf*z2^3 + 13198*z2^4 + 
    21600*sinf*z2^2*z3 - 18000*z2*z3^2 + 22500*sinf*z2*z5 + 26625*z3*z5 - 
    237375*sinf*z7)/24000, H[1, 0, 1, -1, 0, 0, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    102816000*ln2^2*s6 - 56448000*ln2*s7a + 169344000*ln2*s7b - 
    259328475*s8a - 1238832000*s8b - 205632000*s8c - 133056000*s8d - 
    40320000*ln2*s6*sinf - 72576000*s7a*sinf + 153216000*s7b*sinf - 
    28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 456624000*s6*z2 - 
    83764800*li4half*z2^2 + 37800*ln2^4*z2^2 - 12020400*ln2^2*z2^3 + 
    59371200*ln2*sinf*z2^3 + 30622044*z2^4 + 266112000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 1898400*ln2^5*z3 + 42336000*li4half*sinf*z3 + 
    1764000*ln2^4*sinf*z3 - 2520000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 + 
    117230400*ln2*z2^2*z3 - 61954200*sinf*z2^2*z3 - 29736000*ln2^2*z3^2 - 
    66906000*ln2*sinf*z3^2 + 204277500*z2*z3^2 - 218736000*ln2^3*z5 - 
    218736000*ln2^2*sinf*z5 + 112392000*ln2*z2*z5 - 488659500*sinf*z2*z5 - 
    505834875*z3*z5 + 631842750*ln2*z7 + 806951250*sinf*z7)/14112000, 
 H[1, 0, 1, -1, 0, 0, -1, 1, 1] -> 
  (-20160000*li4half^2 - 1680000*li4half*ln2^4 - 35000*ln2^8 + 
    14112000*ln2^2*s6 - 42151725*s8a - 199584000*s8b - 24192000*s8c - 
    28224000*s8d - 39168000*ln2*s6*sinf + 39168000*s7a*sinf - 
    29376000*s7b*sinf + 10080000*li4half*ln2^2*z2 + 420000*ln2^6*z2 + 
    80640000*s6*z2 - 24192000*li4half*ln2*sinf*z2 - 1008000*ln2^5*sinf*z2 - 
    2822400*li4half*z2^2 - 1377600*ln2^4*z2^2 + 6048000*ln2^3*sinf*z2^2 - 
    8244000*ln2^2*z2^3 - 5781600*ln2*sinf*z2^3 + 5153544*z2^4 + 
    56448000*li5half*z3 - 470400*ln2^5*z3 + 26208000*li4half*sinf*z3 + 
    1092000*ln2^4*sinf*z3 + 4704000*ln2^3*z2*z3 - 6552000*ln2^2*sinf*z2*z3 + 
    25074000*ln2*z2^2*z3 - 3600000*sinf*z2^2*z3 + 4410000*ln2^2*z3^2 + 
    48960000*ln2*sinf*z3^2 + 27594000*z2*z3^2 + 13020000*ln2^3*z5 + 
    85932000*ln2^2*sinf*z5 + 57802500*ln2*z2*z5 + 68904000*sinf*z2*z5 - 
    74088000*z3*z5 - 86008500*sinf*z7)/4032000, 
 H[1, 0, 1, -1, 0, 0, -1, 0, 1] -> 
  (156975*s8a - 2688000*s8b + 1728000*ln2*s6*sinf - 1728000*s7a*sinf - 
    1728000*s7b*sinf - 3696000*s6*z2 + 436800*li4half*z2^2 + 
    18200*ln2^4*z2^2 - 109200*ln2^2*z2^3 - 1036800*ln2*sinf*z2^3 - 
    842304*z2^4 - 4032000*li4half*sinf*z3 - 168000*ln2^4*sinf*z3 + 
    1008000*ln2^2*sinf*z2*z3 + 1801800*ln2*z2^2*z3 + 3054600*sinf*z2^2*z3 - 
    2160000*ln2*sinf*z3^2 + 2625000*z2*z3^2 + 9765000*ln2*z2*z5 + 
    9402000*sinf*z2*z5 - 5368125*z3*z5 - 20251125*sinf*z7)/672000, 
 H[1, 0, 1, -1, 0, 0, -1, -1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 + 
    48988800*ln2^2*s6 - 6451200*ln2*s7a + 49996800*ln2*s7b - 98565075*s8a - 
    413683200*s8b - 85075200*s8c - 27820800*s8d + 3225600*ln2*s6*sinf + 
    2419200*s7a*sinf + 19353600*s7b*sinf - 2822400*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 + 109267200*s6*z2 - 16934400*li5half*sinf*z2 + 
    141120*ln2^5*sinf*z2 - 11491200*li4half*z2^2 - 126000*ln2^4*z2^2 - 
    1411200*ln2^3*sinf*z2^2 - 8830080*ln2^2*z2^3 + 3427200*ln2*sinf*z2^3 + 
    594036*z2^4 + 85276800*li5half*z3 + 9878400*li4half*ln2*z3 - 
    299040*ln2^5*z3 + 2822400*li4half*sinf*z3 + 117600*ln2^4*sinf*z3 + 
    4636800*ln2^3*z2*z3 + 6703200*ln2^2*sinf*z2*z3 + 63370440*ln2*z2^2*z3 - 
    5387760*sinf*z2^2*z3 - 16165800*ln2^2*z3^2 - 16997400*ln2*sinf*z3^2 + 
    92736000*z2*z3^2 - 72912000*ln2^3*z5 - 43747200*ln2^2*sinf*z5 + 
    133938000*ln2*z2*z5 - 32640300*sinf*z2*z5 - 206754975*z3*z5 + 
    184703400*ln2*z7 + 88162200*sinf*z7)/5644800, 
 H[1, 0, 1, -1, 0, -1, 1, 1, 1] -> 
  (-107251200*li4half^2 + 451584000*li8half + 30105600*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 44520*ln2^8 + 27417600*ln2^2*s6 + 89815950*s8a + 
    995702400*s8b - 54835200*s8c + 263692800*s8d + 361267200*li7half*sinf + 
    15052800*li4half*ln2^3*sinf + 555520*ln2^7*sinf - 29836800*ln2*s6*sinf + 
    29836800*s7a*sinf - 91526400*s7b*sinf - 90316800*li5half*ln2*z2 - 
    5644800*li4half*ln2^2*z2 - 109760*ln2^6*z2 - 631814400*s6*z2 - 
    225792000*li5half*sinf*z2 - 11289600*li4half*ln2*sinf*z2 - 
    846720*ln2^5*sinf*z2 + 101283840*li4half*z2^2 + 4808160*ln2^4*z2^2 + 
    5315520*ln2^3*sinf*z2^2 - 31923360*ln2^2*z2^3 - 25028640*ln2*sinf*z2^3 - 
    115751952*z2^4 + 82252800*li5half*z3 - 39513600*li4half*ln2*z3 - 
    2331840*ln2^5*z3 + 11289600*li4half*sinf*z3 + 470400*ln2^4*sinf*z3 + 
    1915200*ln2^3*z2*z3 + 41630400*ln2^2*sinf*z2*z3 + 92766240*ln2*z2^2*z3 + 
    29489040*sinf*z2^2*z3 - 18219600*ln2^2*z3^2 + 37296000*ln2*sinf*z3^2 + 
    8845200*z2*z3^2 - 37367400*ln2^3*z5 + 117570600*ln2^2*sinf*z5 + 
    276607800*ln2*z2*z5 + 542543400*sinf*z2*z5 - 180753300*z3*z5 - 
    928980675*sinf*z7)/11289600, H[1, 0, 1, -1, 0, -1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    6720000*ln2^2*s6 + 6627075*s8a + 3192000*s8b + 13440000*s8c - 
    13440000*s8d + 2688000*ln2*s6*sinf - 2688000*s7a*sinf + 
    16128000*s7b*sinf - 56448000*li6half*z2 + 18816000*li5half*ln2*z2 + 
    4704000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 168000*s6*z2 + 
    37632000*li5half*sinf*z2 + 23520000*li4half*ln2*sinf*z2 + 
    666400*ln2^5*sinf*z2 - 21915600*li4half*z2^2 - 1109150*ln2^4*z2^2 - 
    2744000*ln2^3*sinf*z2^2 + 12791100*ln2^2*z2^3 + 9294600*ln2*sinf*z2^3 + 
    16259622*z2^4 - 86016000*li5half*z3 - 16464000*li4half*ln2*z3 + 
    30800*ln2^5*z3 + 9408000*li4half*sinf*z3 + 392000*ln2^4*sinf*z3 - 
    3052000*ln2^3*z2*z3 - 2352000*ln2^2*sinf*z2*z3 - 29759100*ln2*z2^2*z3 - 
    9752400*sinf*z2^2*z3 - 1890000*ln2^2*z3^2 - 3360000*ln2*sinf*z3^2 - 
    1701000*z2*z3^2 - 18228000*ln2^2*sinf*z5 - 63674625*ln2*z2*z5 - 
    85228500*sinf*z2*z5 + 91741125*z3*z5 + 92229375*sinf*z7)/2352000, 
 H[1, 0, 1, -1, 0, -1, 1, -1, 1] -> 
  (-112896000*li4half^2 - 15805440000*li8half - 5419008000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    65856000*li4half*ln2^4 - 1551200*ln2^8 + 3247776000*ln2^2*s6 - 
    1366848000*ln2*s7a + 1582560000*ln2*s7b - 6397971300*s8a - 
    38487456000*s8b - 4580352000*s8c - 3322368000*s8d - 
    7225344000*li7half*sinf - 1354752000*li6half*ln2*sinf - 
    75264000*li4half*ln2^3*sinf - 3584000*ln2^7*sinf + 
    842688000*ln2*s6*sinf - 1661184000*s7a*sinf + 2290176000*s7b*sinf + 
    677376000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    310464000*li4half*ln2^2*z2 + 14190400*ln2^6*z2 + 11005344000*s6*z2 - 
    112896000*li4half*ln2*sinf*z2 + 12230400*ln2^5*sinf*z2 - 
    588268800*li4half*z2^2 - 71551200*ln2^4*z2^2 - 
    184867200*ln2^3*sinf*z2^2 - 686095200*ln2^2*z2^3 - 
    239702400*ln2*sinf*z2^3 + 848504592*z2^4 + 6080256000*li5half*z3 - 
    359856000*li4half*ln2*z3 - 65662800*ln2^5*z3 + 
    112896000*li4half*sinf*z3 + 4704000*ln2^4*sinf*z3 + 
    744828000*ln2^3*z2*z3 - 28224000*ln2^2*sinf*z2*z3 + 
    4519771200*ln2*z2^2*z3 - 700761600*sinf*z2^2*z3 - 910980000*ln2^2*z3^2 - 
    1769544000*ln2*sinf*z3^2 + 4756500000*z2*z3^2 - 2670402000*ln2^3*z5 - 
    3827880000*ln2^2*sinf*z5 + 8439606000*ln2*z2*z5 - 6849108000*sinf*z2*z5 - 
    5110812000*z3*z5 + 12893981625*ln2*z7 + 18012582000*sinf*z7)/56448000, 
 H[1, 0, 1, -1, 0, -1, 0, 1, 1] -> 
  (40320000*li4half^2 + 3360000*li4half*ln2^4 + 70000*ln2^8 - 
    36288000*ln2^2*s6 + 32648175*s8a + 28728000*s8b + 72576000*s8c - 
    72576000*s8d - 10944000*ln2*s6*sinf + 10944000*s7a*sinf + 
    10944000*s7b*sinf + 96768000*li6half*z2 + 64512000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 - 571200*ln2^6*z2 + 191520000*s6*z2 + 
    64512000*li5half*sinf*z2 + 8064000*li4half*ln2*sinf*z2 - 
    201600*ln2^5*sinf*z2 - 38001600*li4half*z2^2 + 264600*ln2^4*z2^2 + 
    3360000*ln2^3*sinf*z2^2 + 7686000*ln2^2*z2^3 + 17503200*ln2*sinf*z2^3 + 
    27959868*z2^4 - 24192000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    1377600*ln2^5*z3 - 4032000*li4half*sinf*z3 - 168000*ln2^4*sinf*z3 - 
    9072000*ln2^3*z2*z3 - 20160000*ln2^2*sinf*z2*z3 - 77994000*ln2*z2^2*z3 - 
    5464800*sinf*z2^2*z3 + 2142000*ln2^2*z3^2 + 13680000*ln2*sinf*z3^2 - 
    74340000*z2*z3^2 - 297801000*ln2*z2*z5 - 124380000*sinf*z2*z5 + 
    48762000*z3*z5 + 127892250*sinf*z7)/4032000, 
 H[1, 0, 1, -1, 0, -1, 0, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    8064000*ln2^2*s6 - 9753975*s8a - 16128000*s8b - 16128000*s8c + 
    16128000*s8d + 5760000*ln2*s6*sinf - 5760000*s7a*sinf - 
    5760000*s7b*sinf + 8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 - 
    24192000*s6*z2 + 14212800*li4half*z2^2 - 415800*ln2^4*z2^2 - 
    3150000*ln2^2*z2^3 + 2491200*ln2*sinf*z2^3 - 8703816*z2^4 + 
    24192000*li5half*z3 - 201600*ln2^5*z3 - 4032000*li4half*sinf*z3 - 
    168000*ln2^4*sinf*z3 + 2016000*ln2^3*z2*z3 + 1008000*ln2^2*sinf*z2*z3 + 
    18673200*ln2*z2^2*z3 + 5284800*sinf*z2^2*z3 + 2268000*ln2^2*z3^2 - 
    7200000*ln2*sinf*z3^2 + 12348000*z2*z3^2 + 48384000*ln2*z2*z5 + 
    19503000*sinf*z2*z5 - 29216250*z3*z5 - 50892750*sinf*z7)/2016000, 
 H[1, 0, 1, -1, 0, -1, 0, -1, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 - 
    42336000*ln2^2*s6 + 18144000*ln2*s7a + 131040000*ln2*s7b - 85166550*s8a - 
    624960000*s8b - 8064000*s8c - 161280000*s8d + 20160000*ln2*s6*sinf - 
    76608000*s7a*sinf + 36288000*s7b*sinf + 169344000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 4233600*ln2^6*z2 + 
    516600000*s6*z2 + 282240000*li5half*sinf*z2 + 141120000*li4half*ln2*sinf*
     z2 + 3528000*ln2^5*sinf*z2 - 177256800*li4half*z2^2 + 
    5550300*ln2^4*z2^2 - 11760000*ln2^3*sinf*z2^2 + 33579000*ln2^2*z2^3 + 
    61815600*ln2*sinf*z2^3 + 59874372*z2^4 - 171360000*li5half*z3 + 
    148176000*li4half*ln2*z3 + 7602000*ln2^5*z3 - 84672000*li4half*sinf*z3 - 
    3528000*ln2^4*sinf*z3 - 51324000*ln2^3*z2*z3 + 
    21168000*ln2^2*sinf*z2*z3 - 156202200*ln2*z2^2*z3 + 
    20349000*sinf*z2^2*z3 + 37485000*ln2^2*z3^2 - 68418000*ln2*sinf*z3^2 + 
    6709500*z2*z3^2 - 109368000*ln2^3*z5 - 109368000*ln2^2*sinf*z5 - 
    504393750*ln2*z2*z5 - 382221000*sinf*z2*z5 + 43099875*z3*z5 + 
    636410250*ln2*z7 + 117014625*sinf*z7)/14112000, 
 H[1, 0, 1, -1, 0, -1, -1, 1, 1] -> 
  (56448000*li4half^2 + 3386880000*li8half - 677376000*li6half*ln2^2 - 
    225792000*li5half*ln2^3 - 23520000*li4half*ln2^4 - 53200*ln2^8 - 
    842688000*ln2^2*s6 + 1174097925*s8a + 6932016000*s8b + 1036224000*s8c + 
    276192000*s8d + 1806336000*li7half*sinf - 225792000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 44800*ln2^7*sinf - 459648000*ln2*s6*sinf + 
    459648000*s7a*sinf - 457632000*s7b*sinf + 677376000*li6half*z2 + 
    451584000*li5half*ln2*z2 + 49392000*li4half*ln2^2*z2 - 764400*ln2^6*z2 - 
    884016000*s6*z2 + 112896000*li5half*sinf*z2 - 2822400*ln2^5*sinf*z2 + 
    7257600*li4half*z2^2 + 7946400*ln2^4*z2^2 + 62680800*ln2^3*sinf*z2^2 + 
    91400400*ln2^2*z2^3 + 159919200*ln2*sinf*z2^3 - 122771952*z2^4 - 
    1060416000*li5half*z3 + 49392000*li4half*ln2*z3 + 10894800*ln2^5*z3 + 
    10584000*li4half*sinf*z3 + 441000*ln2^4*sinf*z3 - 137760000*ln2^3*z2*z3 - 
    113778000*ln2^2*sinf*z2*z3 - 1106809200*ln2*z2^2*z3 + 
    109078200*sinf*z2^2*z3 + 40824000*ln2^2*z3^2 + 574560000*ln2*sinf*z3^2 - 
    1178478000*z2*z3^2 + 280255500*ln2^3*z5 + 1168870500*ln2^2*sinf*z5 - 
    3669183000*ln2*z2*z5 + 1046839500*sinf*z2*z5 + 779625000*z3*z5 - 
    3433145625*sinf*z7)/28224000, H[1, 0, 1, -1, 0, -1, -1, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    8064000*ln2^2*s6 - 9753975*s8a - 16128000*s8b - 16128000*s8c + 
    16128000*s8d + 8352000*ln2*s6*sinf - 8352000*s7a*sinf - 
    8352000*s7b*sinf - 96768000*li6half*z2 - 64512000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 + 67200*ln2^6*z2 - 80640000*s6*z2 - 
    16128000*li5half*sinf*z2 - 8064000*li4half*ln2*sinf*z2 - 
    201600*ln2^5*sinf*z2 + 17640000*li4half*z2^2 + 399000*ln2^4*z2^2 + 
    672000*ln2^3*sinf*z2^2 - 4006800*ln2^2*z2^3 - 2566800*ln2*sinf*z2^3 + 
    777384*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 + 2016000*ln2^3*z2*z3 + 
    1764000*ln2^2*sinf*z2*z3 + 24519600*ln2*z2^2*z3 + 8789400*sinf*z2^2*z3 + 
    2268000*ln2^2*z3^2 - 10440000*ln2*sinf*z3^2 + 36099000*z2*z3^2 + 
    128457000*ln2*z2*z5 + 50127750*sinf*z2*z5 - 43296750*z3*z5 - 
    79706250*sinf*z7)/2016000, H[1, 0, 1, -1, 0, -1, -1, -1, 1] -> 
  (282240000*li4half^2 + 6773760000*li8half + 5419008000*li7half*ln2 + 
    2032128000*li6half*ln2^2 + 451584000*li5half*ln2^3 + 
    79968000*li4half*ln2^4 + 994000*ln2^8 - 612864000*ln2^2*s6 + 
    1003968000*ln2*s7a - 872928000*ln2*s7b + 1550455200*s8a + 
    10962000000*s8b + 1024128000*s8c + 923328000*s8d + 
    1806336000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf + 75264000*li4half*ln2^3*sinf + 
    896000*ln2^7*sinf + 314496000*ln2*s6*sinf + 193536000*s7a*sinf - 
    243936000*s7b*sinf - 677376000*li6half*z2 - 451584000*li5half*ln2*z2 - 
    254016000*li4half*ln2^2*z2 - 8702400*ln2^6*z2 - 3074400000*s6*z2 + 
    338688000*li5half*sinf*z2 + 254016000*li4half*ln2*sinf*z2 + 
    5880000*ln2^5*sinf*z2 + 35078400*li4half*z2^2 + 23805600*ln2^4*z2^2 - 
    35280000*ln2^3*sinf*z2^2 + 202356000*ln2^2*z2^3 + 
    97725600*ln2*sinf*z2^3 - 272789928*z2^4 - 2326464000*li5half*z3 + 
    105840000*li4half*ln2*z3 + 23797200*ln2^5*z3 - 
    176400000*li4half*sinf*z3 - 7350000*ln2^4*sinf*z3 - 
    220332000*ln2^3*z2*z3 + 118188000*ln2^2*sinf*z2*z3 - 
    1188381600*ln2*z2^2*z3 + 148629600*sinf*z2^2*z3 + 620991000*ln2^2*z3^2 - 
    78246000*ln2*sinf*z3^2 - 982863000*z2*z3^2 + 1257732000*ln2^3*z5 - 
    136710000*ln2^2*sinf*z5 + 111006000*ln2*z2*z5 + 468720000*sinf*z2*z5 + 
    711616500*z3*z5 - 9664160625*ln2*z7 - 3098678625*sinf*z7)/56448000, 
 H[1, 0, 1, -1, -1, 1, 1, 1, 1] -> (-56448000*li4half^2 + 790272000*li8half + 
    2352000*li4half*ln2^4 + 215600*ln2^8 - 46368000*ln2^2*s6 + 
    160709850*s8a + 363888000*s8b + 92736000*s8c - 120960000*s8d - 
    959616000*li7half*sinf + 190400*ln2^7*sinf + 197568000*ln2*s6*sinf - 
    197568000*s7a*sinf + 211680000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    2900800*ln2^6*z2 + 256032000*s6*z2 + 56448000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 2587200*ln2^5*sinf*z2 - 
    22780800*li4half*z2^2 + 12045600*ln2^4*z2^2 - 49156800*ln2^3*sinf*z2^2 - 
    40420800*ln2^2*z2^3 - 101052000*ln2*sinf*z2^3 - 57646944*z2^4 + 
    129024000*li5half*z3 - 98784000*li4half*ln2*z3 + 571200*ln2^5*z3 - 
    56448000*li4half*sinf*z3 + 3822000*ln2^4*sinf*z3 - 13944000*ln2^3*z2*z3 + 
    61740000*ln2^2*sinf*z2*z3 - 108939600*ln2*z2^2*z3 - 
    83966400*sinf*z2^2*z3 - 62433000*ln2^2*z3^2 - 246960000*ln2*sinf*z3^2 - 
    2961000*z2*z3^2 - 396459000*ln2^2*sinf*z5 - 278208000*ln2*z2*z5 - 
    607257000*sinf*z2*z5 - 111399750*z3*z5 + 1911900375*sinf*z7)/56448000, 
 H[1, 0, 1, -1, -1, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    16128000*ln2^2*s6 + 43321950*s8a + 428198400*s8b + 32256000*s8c + 
    80640000*s8d + 90316800*li7half*sinf - 17920*ln2^7*sinf + 
    6451200*ln2*s6*sinf - 6451200*s7a*sinf - 20563200*s7b*sinf + 
    101606400*li6half*z2 - 5644800*li4half*ln2^2*z2 - 94080*ln2^6*z2 - 
    158457600*s6*z2 + 45158400*li5half*sinf*z2 + 33868800*li4half*ln2*sinf*
     z2 + 1411200*ln2^5*sinf*z2 + 18385920*li4half*z2^2 - 
    2761920*ln2^4*z2^2 - 6068160*ln2^3*sinf*z2^2 + 252000*ln2^2*z2^3 + 
    15472800*ln2*sinf*z2^3 - 15186744*z2^4 - 251596800*li5half*z3 - 
    43747200*li4half*ln2*z3 + 273840*ln2^5*z3 - 22579200*li4half*sinf*z3 - 
    940800*ln2^4*sinf*z3 + 3964800*ln2^3*z2*z3 + 14112000*ln2^2*sinf*z2*z3 - 
    64260000*ln2*z2^2*z3 + 26903520*sinf*z2^2*z3 - 7623000*ln2^2*z3^2 - 
    11768400*ln2*sinf*z3^2 - 57531600*z2*z3^2 + 13671000*ln2^2*sinf*z5 - 
    96768000*ln2*z2*z5 + 11982600*sinf*z2*z5 + 200179350*z3*z5 - 
    235404225*sinf*z7)/11289600, H[1, 0, 1, -1, -1, 1, 1, -1, 1] -> 
  (-349977600*li8half - 67737600*li7half*ln2 - 5644800*li6half*ln2^2 - 
    1411200*li4half*ln2^4 - 61880*ln2^8 + 77414400*ln2^2*s6 - 
    24192000*ln2*s7a + 12499200*ln2*s7b - 133410375*s8a - 684734400*s8b - 
    103622400*s8c - 34675200*s8d + 146764800*li7half*sinf - 
    11289600*li6half*ln2*sinf - 44800*ln2^7*sinf - 35481600*ln2*s6*sinf + 
    38304000*s7a*sinf - 52012800*s7b*sinf + 5644800*li6half*z2 + 
    8467200*li4half*ln2^2*z2 + 791840*ln2^6*z2 + 137088000*s6*z2 + 
    282240*ln2^5*sinf*z2 - 2701440*li4half*z2^2 - 4087440*ln2^4*z2^2 + 
    6444480*ln2^3*sinf*z2^2 - 9545760*ln2^2*z2^3 + 11239200*ln2*sinf*z2^3 + 
    16880328*z2^4 + 69350400*li5half*z3 - 29635200*li4half*ln2*z3 - 
    2965200*ln2^5*z3 - 1234800*ln2^4*sinf*z3 + 23066400*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 + 126597240*ln2*z2^2*z3 + 
    18587520*sinf*z2^2*z3 - 20827800*ln2^2*z3^2 + 35091000*ln2*sinf*z3^2 + 
    107352000*z2*z3^2 - 35544600*ln2^3*z5 + 87494400*ln2^2*sinf*z5 + 
    273004200*ln2*z2*z5 + 154816200*sinf*z2*z5 - 91159425*z3*z5 + 
    2417625*ln2*z7 - 400552425*sinf*z7)/11289600, 
 H[1, 0, 1, -1, -1, 1, 0, 1, 1] -> (-403200*li4half^2 - 33600*li4half*ln2^4 - 
    700*ln2^8 - 2534400*ln2*s6*sinf + 2534400*s7a*sinf + 1324800*s7b*sinf - 
    806400*li6half*z2 + 1411200*li4half*ln2^2*z2 + 57680*ln2^6*z2 + 
    201600*s6*z2 - 3225600*li5half*sinf*z2 - 4838400*li4half*ln2*sinf*z2 - 
    174720*ln2^5*sinf*z2 - 1229760*li4half*z2^2 - 362040*ln2^4*z2^2 + 
    940800*ln2^3*sinf*z2^2 + 267120*ln2^2*z2^3 + 381600*ln2*sinf*z2^3 + 
    165348*z2^4 + 6451200*li5half*z3 + 6249600*li4half*ln2*z3 + 
    206640*ln2^5*z3 + 3225600*li4half*sinf*z3 + 134400*ln2^4*sinf*z3 - 
    84000*ln2^3*z2*z3 - 3074400*ln2^2*sinf*z2*z3 - 2000880*ln2*z2^2*z3 - 
    2356560*sinf*z2^2*z3 + 2293200*ln2^2*z3^2 + 3697200*ln2*sinf*z3^2 - 
    428400*z2*z3^2 + 1171800*ln2^2*sinf*z5 - 2782800*sinf*z2*z5 - 
    2142000*z3*z5 + 15239475*sinf*z7)/806400, 
 H[1, 0, 1, -1, -1, 1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    45360000*ln2^2*s6 + 71994825*s8a - 46368000*s8b + 90720000*s8c - 
    90720000*s8d + 56448000*ln2*s6*sinf - 56448000*s7a*sinf - 
    112896000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 
    181440000*s6*z2 - 112896000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 2587200*ln2^5*sinf*z2 - 20260800*li4half*z2^2 - 
    2608200*ln2^4*z2^2 + 11760000*ln2^3*sinf*z2^2 + 14137200*ln2^2*z2^3 - 
    26107200*ln2*sinf*z2^3 + 21252852*z2^4 + 294336000*li5half*z3 + 
    162288000*li4half*ln2*z3 + 4309200*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    2352000*ln2^4*sinf*z3 - 16044000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    31033800*ln2*z2^2*z3 + 46746000*sinf*z2^2*z3 + 33547500*ln2^2*z3^2 - 
    14994000*ln2*sinf*z3^2 - 59881500*z2*z3^2 + 54684000*ln2^2*sinf*z5 - 
    272160000*ln2*z2*z5 + 499212000*sinf*z2*z5 - 152152875*z3*z5 - 
    731178000*sinf*z7)/28224000, H[1, 0, 1, -1, -1, 1, 0, -1, 1] -> 
  (4515840*li4half^2 + 376320*li4half*ln2^4 + 7840*ln2^8 - 4596480*ln2^2*s6 + 
    6531840*ln2*s7a + 3144960*ln2*s7b + 4932900*s8a + 31086720*s8b - 
    3870720*s8c + 14031360*s8d + 806400*ln2*s6*sinf - 806400*s7a*sinf - 
    4757760*s7b*sinf - 564480*li6half*z2 - 1411200*li4half*ln2^2*z2 - 
    59584*ln2^6*z2 - 33001920*s6*z2 - 9596160*li5half*sinf*z2 - 
    6773760*li4half*ln2*sinf*z2 - 202272*ln2^5*sinf*z2 - 
    2894976*li4half*z2^2 - 38304*ln2^4*z2^2 + 893760*ln2^3*sinf*z2^2 + 
    4058208*ln2^2*z2^3 - 2078496*ln2*sinf*z2^3 - 6094584*z2^4 - 
    10140480*li5half*z3 + 18910080*li4half*ln2*z3 + 872424*ln2^5*z3 + 
    4515840*li4half*sinf*z3 + 188160*ln2^4*sinf*z3 - 4914000*ln2^3*z2*z3 - 
    917280*ln2^2*sinf*z2*z3 - 10219104*ln2*z2^2*z3 - 858312*sinf*z2^2*z3 + 
    12197430*ln2^2*z3^2 + 4733820*ln2*sinf*z3^2 - 1749510*z2*z3^2 + 
    3281040*ln2^3*z5 + 3827880*ln2^2*sinf*z5 + 2479680*ln2*z2*z5 + 
    25177320*sinf*z2*z5 + 31739400*z3*z5 + 39396105*ln2*z7 - 
    27298530*sinf*z7)/1128960, H[1, 0, 1, -1, -1, 1, -1, 1, 1] -> 
  (-2201472000*li8half + 197568000*li6half*ln2^2 + 56448000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 544600*ln2^8 + 335664000*ln2^2*s6 - 
    671520150*s8a - 4569264000*s8b - 346752000*s8c - 598752000*s8d + 
    112896000*li7half*sinf + 84672000*li5half*ln2^2*sinf - 
    728000*ln2^7*sinf - 50400000*ln2*s6*sinf + 50400000*s7a*sinf + 
    276192000*s7b*sinf - 197568000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 6781600*ln2^6*z2 + 1507968000*s6*z2 + 
    254016000*li5half*sinf*z2 - 1646400*ln2^5*sinf*z2 - 
    123984000*li4half*z2^2 - 22923600*ln2^4*z2^2 + 40454400*ln2^3*sinf*z2^2 - 
    78876000*ln2^2*z2^3 + 158407200*ln2*sinf*z2^3 + 235396656*z2^4 + 
    816480000*li5half*z3 - 42336000*li4half*ln2*z3 - 14330400*ln2^5*z3 - 
    6174000*ln2^4*sinf*z3 + 128016000*ln2^3*z2*z3 - 
    195804000*ln2^2*sinf*z2*z3 + 326440800*ln2*z2^2*z3 - 
    121917600*sinf*z2^2*z3 + 28035000*ln2^2*z3^2 + 25956000*ln2*sinf*z3^2 + 
    466893000*z2*z3^2 - 109368000*ln2^3*z5 - 382788000*ln2^2*sinf*z5 + 
    1368360000*ln2*z2*z5 - 1310526000*sinf*z2*z5 - 401703750*z3*z5 + 
    1951905375*sinf*z7)/56448000, H[1, 0, 1, -1, -1, 1, -1, 0, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    16128000*ln2^2*s6 - 169701525*s8a - 1152144000*s8b - 32256000*s8c - 
    242928000*s8d - 338688000*li7half*sinf + 67200*ln2^7*sinf + 
    149184000*ln2*s6*sinf - 149184000*s7a*sinf - 92736000*s7b*sinf + 
    98784000*li6half*z2 + 127008000*li5half*ln2*z2 - 921200*ln2^6*z2 + 
    753984000*s6*z2 - 98784000*li5half*sinf*z2 - 127008000*li4half*ln2*sinf*
     z2 - 5880000*ln2^5*sinf*z2 + 100800*li4half*z2^2 + 15145200*ln2^4*z2^2 + 
    20697600*ln2^3*sinf*z2^2 - 28299600*ln2^2*z2^3 - 49946400*ln2*sinf*z2^3 + 
    59924556*z2^4 + 630504000*li5half*z3 + 232848000*li4half*ln2*z3 + 
    4447800*ln2^5*z3 - 84672000*li4half*sinf*z3 - 3528000*ln2^4*sinf*z3 - 
    40656000*ln2^3*z2*z3 - 18522000*ln2^2*sinf*z2*z3 + 
    184035600*ln2*z2^2*z3 + 97486200*sinf*z2^2*z3 + 66276000*ln2^2*z3^2 - 
    112392000*ln2*sinf*z3^2 + 60574500*z2*z3^2 - 54684000*ln2^2*sinf*z5 - 
    149310000*ln2*z2*z5 + 406476000*sinf*z2*z5 - 843499125*z3*z5 - 
    479957625*sinf*z7)/28224000, H[1, 0, 1, -1, -1, 1, -1, -1, 1] -> 
  (169344000*li4half^2 + 3725568000*li8half + 677376000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 56448000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 859600*ln2^8 - 791280000*ln2^2*s6 + 
    175392000*ln2*s7a + 90720000*ln2*s7b + 1293766425*s8a + 7534296000*s8b + 
    780192000*s8c + 786240000*s8d + 677376000*li7half*sinf + 
    169344000*li6half*ln2*sinf - 84672000*li5half*ln2^2*sinf + 
    806400*ln2^7*sinf - 127008000*ln2*s6*sinf - 183456000*s7b*sinf - 
    84672000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 9996000*ln2^6*z2 - 2292192000*s6*z2 - 
    254016000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*z2 - 
    9878400*ln2^5*sinf*z2 - 50198400*li4half*z2^2 + 25426800*ln2^4*z2^2 + 
    39513600*ln2^3*sinf*z2^2 + 256384800*ln2^2*z2^3 + 
    38556000*ln2*sinf*z2^3 - 308566152*z2^4 - 1022112000*li5half*z3 + 
    783216000*li4half*ln2*z3 + 46914000*ln2^5*z3 + 
    169344000*li4half*sinf*z3 + 13230000*ln2^4*sinf*z3 - 
    330372000*ln2^3*z2*z3 - 79380000*ln2^2*sinf*z2*z3 - 
    1164353400*ln2*z2^2*z3 - 21873600*sinf*z2^2*z3 + 371700000*ln2^2*z3^2 + 
    260631000*ln2*sinf*z3^2 - 1021734000*z2*z3^2 + 191394000*ln2^3*z5 + 
    341775000*ln2^2*sinf*z5 - 2768472000*ln2*z2*z5 + 847602000*sinf*z2*z5 + 
    1323637875*z3*z5 + 451213875*ln2*z7 - 1717639875*sinf*z7)/56448000, 
 H[1, 0, 1, -1, -1, 0, 1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    19152000*ln2^2*s6 + 9138675*s8a - 125496000*s8b + 38304000*s8c - 
    38304000*s8d - 15456000*ln2*s6*sinf + 15456000*s7a*sinf - 
    50400000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    76608000*s6*z2 + 75264000*li5half*sinf*z2 - 627200*ln2^5*sinf*z2 - 
    14716800*li4half*z2^2 + 1150800*ln2^4*z2^2 + 6272000*ln2^3*sinf*z2^2 + 
    16329600*ln2^2*z2^3 + 14330400*ln2*sinf*z2^3 + 16343928*z2^4 - 
    149184000*li5half*z3 - 7056000*li4half*ln2*z3 + 949200*ln2^5*z3 - 
    10668000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 + 6489000*ln2*z2^2*z3 + 
    27132000*sinf*z2^2*z3 - 10531500*ln2^2*z3^2 + 13146000*ln2*sinf*z3^2 - 
    21451500*z2*z3^2 + 63798000*ln2^2*sinf*z5 - 114912000*ln2*z2*z5 + 
    101304000*sinf*z2*z5 + 115969875*z3*z5 - 340234125*sinf*z7)/18816000, 
 H[1, 0, 1, -1, -1, 0, 1, 0, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 604800*ln2^2*s6 - 
    1603350*s8a + 8568000*s8b - 1209600*s8c + 1209600*s8d - 
    4300800*ln2*s6*sinf + 4300800*s7a*sinf + 4300800*s7b*sinf + 
    2822400*li4half*ln2^2*z2 + 117600*ln2^6*z2 - 5476800*s6*z2 - 
    3763200*li5half*sinf*z2 + 31360*ln2^5*sinf*z2 + 3840480*li4half*z2^2 - 
    192780*ln2^4*z2^2 - 313600*ln2^3*sinf*z2^2 - 1081080*ln2^2*z2^3 - 
    1406160*ln2*sinf*z2^3 - 90784*z2^4 + 12633600*li5half*z3 - 
    4233600*li4half*ln2*z3 - 281680*ln2^5*z3 + 2111200*ln2^3*z2*z3 + 
    1058400*ln2^2*sinf*z2*z3 + 4125240*ln2*z2^2*z3 - 2012640*sinf*z2^2*z3 - 
    2916900*ln2^2*z3^2 + 1671600*ln2*sinf*z3^2 + 2193450*z2*z3^2 + 
    3628800*ln2*z2*z5 - 9605400*sinf*z2*z5 - 19237050*z3*z5 + 
    30299325*sinf*z7)/940800, H[1, 0, 1, -1, -1, 0, 1, -1, 1] -> 
  (-225792000*li4half^2 + 13547520000*li8half + 5419008000*li7half*ln2 + 
    677376000*li6half*ln2^2 - 18816000*li4half*ln2^4 - 190400*ln2^8 - 
    3115728000*ln2^2*s6 + 1239840000*ln2*s7a - 1751904000*ln2*s7b + 
    5809847400*s8a + 34326432000*s8b + 4527936000*s8c + 2584512000*s8d + 
    5419008000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    806400*ln2^7*sinf - 433440000*ln2*s6*sinf + 1209600000*s7a*sinf - 
    1245888000*s7b*sinf - 677376000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 4939200*ln2^6*z2 - 9113328000*s6*z2 + 
    366912000*li5half*sinf*z2 + 338688000*li4half*ln2*sinf*z2 + 
    5409600*ln2^5*sinf*z2 + 759628800*li4half*z2^2 + 66931200*ln2^4*z2^2 + 
    52449600*ln2^3*sinf*z2^2 + 572846400*ln2^2*z2^3 + 
    309657600*ln2*sinf*z2^3 - 527896296*z2^4 - 5528880000*li5half*z3 - 
    670320000*li4half*ln2*z3 + 18144000*ln2^5*z3 - 
    225792000*li4half*sinf*z3 - 9408000*ln2^4*sinf*z3 - 
    478380000*ln2^3*z2*z3 - 97020000*ln2^2*sinf*z2*z3 - 
    3908595600*ln2*z2^2*z3 + 439513200*sinf*z2^2*z3 + 566874000*ln2^2*z3^2 + 
    980154000*ln2*sinf*z3^2 - 4412898000*z2*z3^2 + 2898252000*ln2^3*z5 + 
    2378754000*ln2^2*sinf*z5 - 8231643000*ln2*z2*z5 + 3360357000*sinf*z2*z5 + 
    4417922250*z3*z5 - 13248655875*ln2*z7 - 10974001500*sinf*z7)/56448000, 
 H[1, 0, 1, -1, -1, 0, 0, 1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 + 
    16329600*ln2^2*s6 - 8859375*s8a + 14011200*s8b - 32659200*s8c + 
    32659200*s8d + 37900800*ln2*s6*sinf - 37900800*s7a*sinf - 
    9676800*s7b*sinf - 11289600*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 
    75196800*s6*z2 - 22579200*li5half*sinf*z2 + 16934400*li4half*ln2*sinf*
     z2 + 893760*ln2^5*sinf*z2 + 2298240*li4half*z2^2 + 1506960*ln2^4*z2^2 - 
    6115200*ln2^3*sinf*z2^2 - 3840480*ln2^2*z2^3 - 8910720*ln2*sinf*z2^3 - 
    19922496*z2^4 - 42739200*li5half*z3 - 7056000*li4half*ln2*z3 + 
    62160*ln2^5*z3 - 22579200*li4half*sinf*z3 - 940800*ln2^4*sinf*z3 - 
    1797600*ln2^3*z2*z3 + 17287200*ln2^2*sinf*z2*z3 + 26956440*ln2*z2^2*z3 + 
    15624000*sinf*z2^2*z3 + 5210100*ln2^2*z3^2 - 36262800*ln2*sinf*z3^2 + 
    14351400*z2*z3^2 - 27342000*ln2^2*sinf*z5 + 97977600*ln2*z2*z5 + 
    45712800*sinf*z2*z5 + 58651425*z3*z5 - 90518400*sinf*z7)/5644800, 
 H[1, 0, 1, -1, -1, 0, 0, 0, 1] -> (-2688000*ln2^2*s6 + 620025*s8a - 
    20832000*s8b + 5376000*s8c - 5376000*s8d - 18816000*ln2*s6*sinf + 
    18816000*s7a*sinf + 17808000*s6*z2 + 1041600*li4half*z2^2 + 
    43400*ln2^4*z2^2 + 2629200*ln2^2*z2^3 - 235200*ln2*sinf*z2^3 + 
    2154704*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 + 
    18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 - 672000*ln2^3*z2*z3 - 
    4704000*ln2^2*sinf*z2*z3 + 903000*ln2*z2^2*z3 - 5203800*sinf*z2^2*z3 - 
    756000*ln2^2*z3^2 + 23520000*ln2*sinf*z3^2 - 7339500*z2*z3^2 + 
    18228000*ln2^2*sinf*z5 - 16128000*ln2*z2*z5 - 3675000*sinf*z2*z5 + 
    11416125*z3*z5 + 12586875*sinf*z7)/4704000, 
 H[1, 0, 1, -1, -1, 0, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    7728000*ln2^2*s6 - 44352000*ln2*s7a - 25536000*ln2*s7b + 68695725*s8a + 
    247296000*s8b + 66528000*s8c - 10080000*s8d + 1344000*ln2*s6*sinf - 
    38976000*s7a*sinf + 45696000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 2520000*s6*z2 - 47040000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 784000*ln2^5*sinf*z2 + 
    21739200*li4half*z2^2 - 858200*ln2^4*z2^2 + 3136000*ln2^3*sinf*z2^2 + 
    5443200*ln2^2*z2^3 + 12180000*ln2*sinf*z2^3 + 14365756*z2^4 + 
    64848000*li5half*z3 - 21168000*li4half*ln2*z3 - 1422400*ln2^5*z3 + 
    4704000*li4half*sinf*z3 + 196000*ln2^4*sinf*z3 + 10696000*ln2^3*z2*z3 - 
    8232000*ln2^2*sinf*z2*z3 + 14154000*ln2*z2^2*z3 - 12667200*sinf*z2^2*z3 - 
    48993000*ln2^2*z3^2 - 33579000*ln2*sinf*z3^2 - 72350250*z2*z3^2 - 
    18228000*ln2^3*z5 - 82026000*ln2^2*sinf*z5 - 125160000*ln2*z2*z5 - 
    103288500*sinf*z2*z5 - 14768250*z3*z5 - 315798000*ln2*z7 + 
    225739500*sinf*z7)/9408000, H[1, 0, 1, -1, -1, 0, -1, 1, 1] -> 
  (282240000*li4half^2 - 2257920000*li8half + 338688000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 + 23520000*li4half*ln2^4 + 277200*ln2^8 + 
    630504000*ln2^2*s6 - 1008548100*s8a - 5340384000*s8b - 957600000*s8c - 
    114912000*s8d - 1354752000*li7half*sinf + 112896000*li5half*ln2^2*sinf - 
    672000*ln2^7*sinf + 370944000*ln2*s6*sinf - 370944000*s7a*sinf + 
    38304000*s7b*sinf - 338688000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 196000*ln2^6*z2 + 614376000*s6*z2 + 
    84672000*li4half*ln2*sinf*z2 + 7291200*ln2^5*sinf*z2 - 
    148579200*li4half*z2^2 - 17950800*ln2^4*z2^2 - 74440800*ln2^3*sinf*z2^2 - 
    38883600*ln2^2*z2^3 - 212486400*ln2*sinf*z2^3 + 12409884*z2^4 + 
    215712000*li5half*z3 + 134064000*li4half*ln2*z3 + 3788400*ln2^5*z3 - 
    109368000*li4half*sinf*z3 - 4557000*ln2^4*sinf*z3 + 
    77070000*ln2^3*z2*z3 + 228438000*ln2^2*sinf*z2*z3 + 
    773047800*ln2*z2^2*z3 + 63516600*sinf*z2^2*z3 + 123306750*ln2^2*z3^2 - 
    389592000*ln2*sinf*z3^2 + 917642250*z2*z3^2 - 22785000*ln2^3*z5 - 
    430636500*ln2^2*sinf*z5 + 2884927500*ln2*z2*z5 - 45265500*sinf*z2*z5 - 
    26168625*z3*z5 + 995896125*sinf*z7)/28224000, 
 H[1, 0, 1, -1, -1, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    11424000*ln2^2*s6 + 11106900*s8a + 11424000*s8b + 22848000*s8c - 
    22848000*s8d - 114240000*ln2*s6*sinf + 114240000*s7a*sinf + 
    76608000*s7b*sinf + 338688000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 705600*ln2^6*z2 + 171528000*s6*z2 + 
    2486400*li4half*z2^2 - 1072400*ln2^4*z2^2 - 14977200*ln2^2*z2^3 + 
    2805600*ln2*sinf*z2^3 - 31718336*z2^4 + 55104000*li5half*z3 - 
    56448000*li4half*ln2*z3 - 2811200*ln2^5*z3 + 98784000*li4half*sinf*z3 + 
    4116000*ln2^4*sinf*z3 + 18704000*ln2^3*z2*z3 - 
    10584000*ln2^2*sinf*z2*z3 - 10546200*ln2*z2^2*z3 - 
    78061200*sinf*z2^2*z3 - 44373000*ln2^2*z3^2 + 93408000*ln2*sinf*z3^2 - 
    61199250*z2*z3^2 + 36456000*ln2^2*sinf*z5 - 102721500*ln2*z2*z5 - 
    224521500*sinf*z2*z5 - 59742375*z3*z5 + 566774250*sinf*z7)/9408000, 
 H[1, 0, 1, -1, -1, 0, -1, -1, 1] -> 
  (-169344000*li4half^2 - 4515840000*li8half - 2709504000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 182000*ln2^8 + 661248000*ln2^2*s6 - 
    447552000*ln2*s7a + 596736000*ln2*s7b - 1383113025*s8a - 8462160000*s8b - 
    949536000*s8c - 687456000*s8d - 1354752000*li7half*sinf - 
    677376000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    268800*ln2^7*sinf - 105840000*ln2*s6*sinf - 112896000*s7a*sinf + 
    352800000*s7b*sinf + 338688000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2744000*ln2^6*z2 + 2302776000*s6*z2 - 
    197568000*li5half*sinf*z2 - 127008000*li4half*ln2*sinf*z2 - 
    4586400*ln2^5*sinf*z2 - 31651200*li4half*z2^2 - 9550800*ln2^4*z2^2 + 
    15288000*ln2^3*sinf*z2^2 - 161406000*ln2^2*z2^3 - 
    55843200*ln2*sinf*z2^3 + 230876316*z2^4 + 1706544000*li5half*z3 - 
    84672000*li4half*ln2*z3 - 17749200*ln2^5*z3 + 74088000*li4half*sinf*z3 + 
    3087000*ln2^4*sinf*z3 + 163380000*ln2^3*z2*z3 - 
    15876000*ln2^2*sinf*z2*z3 + 1032418800*ln2*z2^2*z3 - 
    123215400*sinf*z2^2*z3 - 432967500*ln2^2*z3^2 - 165595500*ln2*sinf*z3^2 + 
    1029782250*z2*z3^2 - 988869000*ln2^3*z5 - 416965500*ln2^2*sinf*z5 + 
    1028884500*ln2*z2*z5 - 876487500*sinf*z2*z5 - 1341553500*z3*z5 + 
    5270989500*ln2*z7 + 3157174125*sinf*z7)/28224000, 
 H[1, 0, 1, -1, -1, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 + 1185408000*li8half + 18816000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 274400*ln2^8 - 11088000*ln2^2*s6 + 
    255910725*s8a + 1771560000*s8b + 22176000*s8c + 358848000*s8d - 
    169344000*li7half*sinf + 9408000*li4half*ln2^3*sinf + 425600*ln2^7*sinf + 
    60480000*ln2*s6*sinf - 60480000*s7a*sinf - 145152000*s7b*sinf - 
    56448000*li5half*ln2*z2 + 1215200*ln2^6*z2 - 908208000*s6*z2 - 
    169344000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 + 131040000*li4half*z2^2 + 7165200*ln2^4*z2^2 - 
    5409600*ln2^3*sinf*z2^2 - 17841600*ln2^2*z2^3 - 93240000*ln2*sinf*z2^3 - 
    196216704*z2^4 - 280224000*li5half*z3 + 21168000*li4half*ln2*z3 - 
    2545200*ln2^5*z3 - 7056000*li4half*sinf*z3 - 6468000*ln2^4*sinf*z3 - 
    16296000*ln2^3*z2*z3 + 118188000*ln2^2*sinf*z2*z3 + 
    26271000*ln2*z2^2*z3 + 78598800*sinf*z2^2*z3 - 37075500*ln2^2*z3^2 - 
    57078000*ln2*sinf*z3^2 - 69331500*z2*z3^2 - 59241000*ln2^3*z5 + 
    82026000*ln2^2*sinf*z5 + 111195000*ln2*z2*z5 + 757134000*sinf*z2*z5 + 
    5740875*z3*z5 - 1043784000*sinf*z7)/56448000, 
 H[1, 0, 1, -1, -1, -1, 1, 0, 1] -> 
  (-6854400*ln2^2*s6 + 10593450*s8a + 74592000*s8b + 13708800*s8c + 
    403200*s8d + 22579200*li7half*sinf - 4480*ln2^7*sinf - 
    11289600*ln2*s6*sinf + 11289600*s7a*sinf + 14112000*s7b*sinf - 
    8467200*li6half*z2 + 2822400*li5half*ln2*z2 + 705600*li4half*ln2^2*z2 - 
    5880*ln2^6*z2 - 16329600*s6*z2 + 11289600*li5half*sinf*z2 + 
    14112000*li4half*ln2*sinf*z2 + 588000*ln2^5*sinf*z2 + 
    2691360*li4half*z2^2 + 82740*ln2^4*z2^2 - 2046240*ln2^3*sinf*z2^2 + 
    3044160*ln2^2*z2^3 + 4430160*ln2*sinf*z2^3 + 5491656*z2^4 - 
    29030400*li5half*z3 - 28576800*li4half*ln2*z3 - 948780*ln2^5*z3 + 
    1226400*ln2^3*z2*z3 + 1587600*ln2^2*sinf*z2*z3 - 11258100*ln2*z2^2*z3 - 
    7126560*sinf*z2^2*z3 - 11960550*ln2^2*z3^2 + 2072700*ln2*sinf*z3^2 - 
    8054550*z2*z3^2 - 2734200*ln2^2*sinf*z5 - 50012550*ln2*z2*z5 - 
    55301400*sinf*z2*z5 + 21297150*z3*z5 + 77494725*sinf*z7)/2822400, 
 H[1, 0, 1, -1, -1, -1, 1, -1, 1] -> 
  (-197568000*li4half^2 - 2483712000*li8half - 564480000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    16464000*li4half*ln2^4 - 253400*ln2^8 + 312480000*ln2^2*s6 - 
    108864000*ln2*s7a - 10080000*ln2*s7b - 748446300*s8a - 4296096000*s8b - 
    379008000*s8c - 439488000*s8d - 508032000*li7half*sinf - 
    169344000*li6half*ln2*sinf - 9408000*li4half*ln2^3*sinf - 
    526400*ln2^7*sinf - 10080000*ln2*s6*sinf + 38304000*s7a*sinf + 
    292320000*s7b*sinf + 84672000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 5096000*ln2^6*z2 + 1274112000*s6*z2 + 
    169344000*li5half*sinf*z2 + 197568000*li4half*ln2*sinf*z2 + 
    6350400*ln2^5*sinf*z2 + 130838400*li4half*z2^2 - 12894000*ln2^4*z2^2 - 
    45393600*ln2^3*sinf*z2^2 - 127360800*ln2^2*z2^3 - 1764000*ln2*sinf*z2^3 + 
    187456392*z2^4 + 469728000*li5half*z3 - 776160000*li4half*ln2*z3 - 
    30492000*ln2^5*z3 - 127008000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 + 
    220836000*ln2^3*z2*z3 + 31752000*ln2^2*sinf*z2*z3 + 
    671252400*ln2*z2^2*z3 - 30240000*sinf*z2^2*z3 - 308794500*ln2^2*z3^2 - 
    231273000*ln2*sinf*z3^2 + 587002500*z2*z3^2 - 36456000*ln2^3*z5 - 
    246078000*ln2^2*sinf*z5 + 985824000*ln2*z2*z5 - 1068606000*sinf*z2*z5 - 
    642631500*z3*z5 + 765237375*ln2*z7 + 2150875125*sinf*z7)/56448000, 
 H[1, 0, 1, -1, -1, -1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    192528000*ln2^2*s6 + 223525575*s8a + 584136000*s8b + 385056000*s8c - 
    300384000*s8d + 50400000*ln2*s6*sinf - 50400000*s7a*sinf + 
    133056000*s7b*sinf + 395136000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 3920000*ln2^6*z2 + 784224000*s6*z2 + 
    112896000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    2116800*ln2^5*sinf*z2 - 115113600*li4half*z2^2 + 14019600*ln2^4*z2^2 + 
    19992000*ln2^3*sinf*z2^2 + 4132800*ln2^2*z2^3 + 81244800*ln2*sinf*z2^3 + 
    136768752*z2^4 + 304416000*li5half*z3 + 204624000*li4half*ln2*z3 + 
    5989200*ln2^5*z3 + 21168000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 - 
    91644000*ln2^3*z2*z3 - 179928000*ln2^2*sinf*z2*z3 - 
    325420200*ln2*z2^2*z3 - 70358400*sinf*z2^2*z3 + 66244500*ln2^2*z3^2 + 
    29610000*ln2*sinf*z3^2 - 466735500*z2*z3^2 - 177723000*ln2^2*sinf*z5 - 
    1510614000*ln2*z2*z5 - 717633000*sinf*z2*z5 + 48376125*z3*z5 + 
    1095018750*sinf*z7)/56448000, H[1, 0, 1, -1, -1, -1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    43344000*ln2^2*s6 - 75595275*s8a - 360864000*s8b - 86688000*s8c + 
    16128000*s8d + 41328000*ln2*s6*sinf - 41328000*s7a*sinf - 
    62496000*s7b*sinf - 56448000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    666400*ln2^6*z2 + 10080000*s6*z2 + 28224000*li5half*sinf*z2 - 
    235200*ln2^5*sinf*z2 - 15825600*li4half*z2^2 + 2280600*ln2^4*z2^2 + 
    7644000*ln2^3*sinf*z2^2 - 1537200*ln2^2*z2^3 + 5896800*ln2*sinf*z2^3 - 
    13201164*z2^4 - 11088000*li5half*z3 + 42336000*li4half*ln2*z3 + 
    1856400*ln2^5*z3 - 17640000*li4half*sinf*z3 - 735000*ln2^4*sinf*z3 - 
    11508000*ln2^3*z2*z3 - 6174000*ln2^2*sinf*z2*z3 + 58766400*ln2*z2^2*z3 + 
    45309600*sinf*z2^2*z3 + 43060500*ln2^2*z3^2 - 14616000*ln2*sinf*z3^2 + 
    82986750*z2*z3^2 + 20506500*ln2^2*sinf*z5 + 260064000*ln2*z2*z5 + 
    169690500*sinf*z2*z5 - 30334500*z3*z5 - 462459375*sinf*z7)/14112000, 
 H[1, 0, 1, -1, -1, -1, 0, -1, 1] -> 
  (15805440*li4half^2 + 180633600*li8half + 72253440*li7half*ln2 + 
    9031680*li6half*ln2^2 + 1317120*li4half*ln2^4 + 30128*ln2^8 - 
    32054400*ln2^2*s6 + 7338240*ln2*s7a - 8467200*ln2*s7b + 59249610*s8a + 
    320503680*s8b + 46609920*s8c + 12096000*s8d + 72253440*li7half*sinf + 
    18063360*li6half*ln2*sinf + 10752*ln2^7*sinf - 725760*ln2*s6*sinf - 
    2096640*s7a*sinf - 11692800*s7b*sinf - 1128960*li6half*z2 + 
    2257920*li5half*ln2*z2 - 9031680*li4half*ln2^2*z2 - 409248*ln2^6*z2 - 
    47617920*s6*z2 + 15805440*li5half*sinf*z2 + 4515840*li4half*ln2*sinf*z2 - 
    18816*ln2^5*sinf*z2 - 9039744*li4half*z2^2 + 1105104*ln2^4*z2^2 + 
    1467648*ln2^3*sinf*z2^2 + 8953056*ln2^2*z2^3 + 10876320*ln2*sinf*z2^3 - 
    2203344*z2^4 - 51851520*li5half*z3 + 21450240*li4half*ln2*z3 + 
    1325856*ln2^5*z3 - 2822400*li4half*sinf*z3 - 117600*ln2^4*sinf*z3 - 
    11000640*ln2^3*z2*z3 - 4163040*ln2^2*sinf*z2*z3 - 52606512*ln2*z2^2*z3 + 
    3658032*sinf*z2^2*z3 + 12593700*ln2^2*z3^2 + 9427320*ln2*sinf*z3^2 - 
    52747380*z2*z3^2 + 15311520*ln2^3*z5 + 9296280*ln2^2*sinf*z5 - 
    121572360*ln2*z2*z5 + 20147400*sinf*z2*z5 + 41213970*z3*z5 - 
    134154405*ln2*z7 - 136256085*sinf*z7)/2257920, 
 H[1, 0, 1, -1, -1, -1, -1, 1, 1] -> 
  (20160000*li4half^2 + 32256000*li8half - 12096000*li6half*ln2^2 - 
    5376000*li5half*ln2^3 + 1680000*li4half*ln2^4 + 63800*ln2^8 - 
    13104000*ln2^2*s6 + 6014925*s8a + 61992000*s8b + 2016000*s8c + 
    6048000*s8d - 16128000*li7half*sinf - 4032000*li5half*ln2^2*sinf - 
    1344000*li4half*ln2^3*sinf - 19200*ln2^7*sinf + 10080000*ln2*s6*sinf - 
    10080000*s7a*sinf - 22176000*s7b*sinf + 12096000*li6half*z2 + 
    8064000*li5half*ln2*z2 - 8064000*li4half*ln2^2*z2 - 604800*ln2^6*z2 - 
    4032000*s6*z2 + 4032000*li5half*sinf*z2 - 100800*ln2^5*sinf*z2 - 
    11491200*li4half*z2^2 + 663600*ln2^4*z2^2 - 1444800*ln2^3*sinf*z2^2 + 
    2772000*ln2^2*z2^3 - 8028000*ln2*sinf*z2^3 - 2499552*z2^4 - 
    24192000*li5half*z3 + 35280000*li4half*ln2*z3 + 2494800*ln2^5*z3 - 
    4032000*li4half*sinf*z3 + 714000*ln2^4*sinf*z3 - 12600000*ln2^3*z2*z3 + 
    1008000*ln2^2*sinf*z2*z3 - 19870200*ln2*z2^2*z3 + 8593200*sinf*z2^2*z3 + 
    24979500*ln2^2*z3^2 + 5922000*ln2*sinf*z3^2 - 22396500*z2*z3^2 + 
    21483000*ln2^3*z5 + 31248000*ln2^2*sinf*z5 - 45108000*ln2*z2*z5 + 
    45990000*sinf*z2*z5 + 55762875*z3*z5 - 87451875*sinf*z7)/8064000, 
 H[1, 0, 1, -1, -1, -1, -1, 0, 1] -> 
  (-10080000*li4half^2 - 840000*li4half*ln2^4 - 17500*ln2^8 + 
    7056000*ln2^2*s6 - 11089575*s8a - 41328000*s8b - 14112000*s8c + 
    7056000*s8d - 16128000*li7half*sinf + 3200*ln2^7*sinf - 
    8064000*ln2*s6*sinf + 8064000*s7a*sinf + 6048000*s7b*sinf + 
    2016000*li6half*z2 - 10080000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 
    254800*ln2^6*z2 - 18648000*s6*z2 - 6048000*li5half*sinf*z2 - 
    2016000*li4half*ln2*sinf*z2 - 100800*ln2^5*sinf*z2 + 
    7358400*li4half*z2^2 - 764400*ln2^4*z2^2 - 638400*ln2^3*sinf*z2^2 - 
    5392800*ln2^2*z2^3 - 2836800*ln2*sinf*z2^3 - 7874712*z2^4 + 
    1512000*li5half*z3 - 12096000*li4half*ln2*z3 - 516600*ln2^5*z3 + 
    6552000*li4half*sinf*z3 + 273000*ln2^4*sinf*z3 + 8148000*ln2^3*z2*z3 + 
    4032000*ln2^2*sinf*z2*z3 + 15057000*ln2*z2^2*z3 - 3868200*sinf*z2^2*z3 - 
    6835500*ln2^2*z3^2 - 504000*ln2*sinf*z3^2 + 21546000*z2*z3^2 + 
    1953000*ln2^2*sinf*z5 + 84325500*ln2*z2*z5 - 3906000*sinf*z2*z5 - 
    23955750*z3*z5 + 41099625*sinf*z7)/4032000, 
 H[1, 0, 1, -1, -1, -1, -1, -1, 1] -> 
  (4032000*li4half^2 + 72576000*li8half + 32256000*li7half*ln2 + 
    16128000*li6half*ln2^2 + 5376000*li5half*ln2^3 + 336000*li4half*ln2^4 - 
    20000*ln2^8 + 6048000*ln2*s7a + 2016000*ln2*s7b + 14203350*s8a + 
    97776000*s8b + 12096000*s8c + 32256000*li7half*sinf + 
    8064000*li6half*ln2*sinf + 4032000*li5half*ln2^2*sinf + 
    1344000*li4half*ln2^3*sinf + 27200*ln2^7*sinf + 4032000*s7b*sinf - 
    4032000*li6half*z2 - 4032000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 + 
    56000*ln2^6*z2 - 6048000*s6*z2 + 4032000*li5half*sinf*z2 + 
    33600*ln2^5*sinf*z2 - 2620800*li4half*z2^2 + 378000*ln2^4*z2^2 + 
    2049600*ln2^3*sinf*z2^2 + 2196000*ln2^2*z2^3 + 8539200*ln2*sinf*z2^3 + 
    3153456*z2^4 - 4032000*li5half*z3 + 8064000*li4half*ln2*z3 - 
    453600*ln2^5*z3 - 1008000*li4half*sinf*z3 - 924000*ln2^4*sinf*z3 - 
    588000*ln2^3*z2*z3 + 252000*ln2^2*sinf*z2*z3 - 11163600*ln2*z2^2*z3 - 
    604800*sinf*z2^2*z3 - 5512500*ln2^2*z3^2 - 3087000*ln2*sinf*z3^2 - 
    9229500*z2*z3^2 - 17577000*ln2^3*z5 - 23436000*ln2^2*sinf*z5 - 
    22554000*ln2*z2*z5 - 11970000*sinf*z2*z5 - 33090750*z3*z5 - 
    82884375*ln2*z7 - 18002250*sinf*z7)/8064000, 
 H[1, 0, 0, 1, 1, 1, 1, 1, 1] -> (350*s8a - 654*z2^4 - 350*sinf*z2^2*z3 - 
    875*sinf*z2*z5 + 3500*z3*z5 + 2625*sinf*z7)/875, 
 H[1, 0, 0, 1, 1, 1, 1, 0, 1] -> (-70*s8a + 60*z2^4 + 42*sinf*z2^2*z3 + 
    35*z2*z3^2 - 350*z3*z5 - 140*sinf*z7)/70, 
 H[1, 0, 0, 1, 1, 1, 1, -1, 1] -> 
  (-564480000*li8half - 338688000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    25200*ln2^8 - 53424000*ln2^2*s6 + 54432000*ln2*s7a + 40320000*ln2*s7b + 
    26319825*s8a + 207144000*s8b + 26208000*s8c + 58464000*s8d - 
    338688000*li7half*sinf - 112896000*li6half*ln2*sinf - 89600*ln2^7*sinf + 
    58464000*ln2*s6*sinf - 30240000*s7a*sinf + 40320000*s7b*sinf + 
    56448000*li6half*z2 + 235200*ln2^6*z2 - 173376000*s6*z2 + 
    28224000*li5half*sinf*z2 + 705600*ln2^5*sinf*z2 + 39916800*li4half*z2^2 - 
    3276000*ln2^4*z2^2 - 1176000*ln2^3*sinf*z2^2 - 453600*ln2^2*z2^3 - 
    21168000*ln2*sinf*z2^3 + 35652312*z2^4 - 152208000*li5half*z3 + 
    1268400*ln2^5*z3 - 56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 - 
    12684000*ln2^3*z2*z3 - 28224000*ln2^2*sinf*z2*z3 - 37762200*ln2*z2^2*z3 + 
    18748800*sinf*z2^2*z3 + 46714500*ln2^2*z3^2 - 73080000*ln2*sinf*z3^2 - 
    20317500*z2*z3^2 + 13671000*ln2^3*z5 - 68355000*ln2^2*sinf*z5 - 
    196623000*ln2*z2*z5 - 148869000*sinf*z2*z5 + 179195625*z3*z5 + 
    363525750*ln2*z7 + 500897250*sinf*z7)/56448000, 
 H[1, 0, 0, 1, 1, 1, 0, 1, 1] -> 
  (75600*s8a - 17824*z2^4 - 21000*sinf*z2^2*z3 + 42000*z2*z3^2 + 
    210000*sinf*z2*z5 - 42000*z3*z5 - 286125*sinf*z7)/42000, 
 H[1, 0, 0, 1, 1, 1, 0, 0, 1] -> (6300*s8a - 5897*z2^4 - 9660*sinf*z2^2*z3 - 
    6300*z2*z3^2 + 39900*z3*z5 + 32025*sinf*z7)/4200, 
 H[1, 0, 0, 1, 1, 1, 0, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    4536000*ln2^2*s6 - 9072000*ln2*s7a - 9072000*ln2*s7b + 17438400*s8a - 
    66024000*s8b + 9072000*s8c - 9072000*s8d + 9072000*ln2*s6*sinf - 
    9072000*s7a*sinf - 9072000*s7b*sinf - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 + 18144000*s6*z2 - 24393600*li4half*z2^2 - 
    134400*ln2^4*z2^2 + 4284000*ln2^2*z2^3 - 1587600*ln2*sinf*z2^3 - 
    12249366*z2^4 + 18144000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    877800*ln2^5*z3 + 24696000*li4half*sinf*z3 + 1029000*ln2^4*sinf*z3 - 
    4662000*ln2^3*z2*z3 - 6174000*ln2^2*sinf*z2*z3 - 15277500*ln2*z2^2*z3 - 
    17280900*sinf*z2^2*z3 + 5134500*ln2^2*z3^2 + 24160500*ln2*sinf*z3^2 - 
    16506000*z2*z3^2 - 567000*ln2*z2*z5 + 27751500*sinf*z2*z5 + 
    107454375*z3*z5 + 67725000*ln2*z7 - 25160625*sinf*z7)/14112000, 
 H[1, 0, 0, 1, 1, 1, -1, 1, 1] -> 
  (84672000*li4half^2 - 112896000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 303800*ln2^8 + 93744000*ln2^2*s6 - 
    240426900*s8a - 2041200000*s8b - 201600000*s8c - 249984000*s8d + 
    225792000*li7half*sinf - 56448000*li5half*ln2^2*sinf + 
    425600*ln2^7*sinf - 92736000*ln2*s6*sinf + 92736000*s7a*sinf - 
    147168000*s7b*sinf + 112896000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 3332000*ln2^6*z2 + 732816000*s6*z2 + 
    169344000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 - 
    1646400*ln2^5*sinf*z2 - 175593600*li4half*z2^2 + 20084400*ln2^4*z2^2 + 
    2587200*ln2^3*sinf*z2^2 - 1310400*ln2^2*z2^3 + 55490400*ln2*sinf*z2^3 - 
    8741664*z2^4 + 76608000*li5half*z3 - 638400*ln2^5*z3 + 
    134064000*li4half*sinf*z3 + 5586000*ln2^4*sinf*z3 + 6384000*ln2^3*z2*z3 + 
    51156000*ln2^2*sinf*z2*z3 + 211730400*ln2*z2^2*z3 - 
    3729600*sinf*z2^2*z3 + 6300000*ln2^2*z3^2 + 115920000*ln2*sinf*z3^2 + 
    264096000*z2*z3^2 - 18228000*ln2^3*z5 + 205065000*ln2^2*sinf*z5 + 
    659484000*ln2*z2*z5 + 468909000*sinf*z2*z5 - 214798500*z3*z5 - 
    1289334375*sinf*z7)/56448000, H[1, 0, 0, 1, 1, 1, -1, 0, 1] -> 
  (-9072000*ln2^2*s6 + 38305575*s8a + 237216000*s8b + 18144000*s8c + 
    28896000*s8d + 3360000*ln2*s6*sinf - 3360000*s7a*sinf + 
    20160000*s7b*sinf - 56448000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    156800*ln2^6*z2 - 98952000*s6*z2 - 9408000*li5half*sinf*z2 + 
    78400*ln2^5*sinf*z2 + 15892800*li4half*z2^2 - 513800*ln2^4*z2^2 - 
    4312000*ln2^3*sinf*z2^2 + 5779200*ln2^2*z2^3 - 4838400*ln2*sinf*z2^3 + 
    1234752*z2^4 - 27216000*li5half*z3 + 226800*ln2^5*z3 - 
    14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 2268000*ln2^3*z2*z3 + 
    3528000*ln2^2*sinf*z2*z3 - 30655800*ln2*z2^2*z3 - 15204000*sinf*z2^2*z3 - 
    2551500*ln2^2*z3^2 - 4200000*ln2*sinf*z3^2 - 29704500*z2*z3^2 - 
    22785000*ln2^2*sinf*z5 - 68103000*ln2*z2*z5 - 64512000*sinf*z2*z5 + 
    82774125*z3*z5 + 179098500*sinf*z7)/9408000, 
 H[1, 0, 0, 1, 1, 1, -1, -1, 1] -> (56448000*li4half^2 - 1693440000*li8half - 
    564480000*li7half*ln2 + 56448000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 - 67200*ln2^8 + 347760000*ln2^2*s6 - 
    183456000*ln2*s7a + 197568000*ln2*s7b - 521465175*s8a - 3618216000*s8b - 
    385056000*s8c - 320544000*s8d - 790272000*li7half*sinf - 
    112896000*li6half*ln2*sinf + 56448000*li5half*ln2^2*sinf - 
    470400*ln2^7*sinf + 157248000*ln2*s6*sinf - 227808000*s7a*sinf + 
    252000000*s7b*sinf + 56448000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 1029168000*s6*z2 - 
    28224000*li5half*sinf*z2 + 3998400*ln2^5*sinf*z2 - 
    121968000*li4half*z2^2 - 18723600*ln2^4*z2^2 - 20932800*ln2^3*sinf*z2^2 - 
    68292000*ln2^2*z2^3 - 56296800*ln2*sinf*z2^3 + 71202312*z2^4 + 
    690480000*li5half*z3 + 98784000*li4half*ln2*z3 - 1638000*ln2^5*z3 + 
    35280000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 + 32844000*ln2^3*z2*z3 - 
    51156000*ln2^2*sinf*z2*z3 + 308133000*ln2*z2^2*z3 - 
    118843200*sinf*z2^2*z3 - 78151500*ln2^2*z3^2 - 134820000*ln2*sinf*z3^2 + 
    348106500*z2*z3^2 - 350889000*ln2^3*z5 - 437472000*ln2^2*sinf*z5 + 
    535563000*ln2*z2*z5 - 781704000*sinf*z2*z5 - 156751875*z3*z5 + 
    1848451500*ln2*z7 + 2134967625*sinf*z7)/56448000, 
 H[1, 0, 0, 1, 1, 0, 1, 1, 1] -> (-11900*s8a + 1656*z2^4 - 31500*sinf*z2*z5 + 
    53375*sinf*z7)/7000, H[1, 0, 0, 1, 1, 0, 1, 0, 1] -> 
  (-113400*s8a + 88006*z2^4 + 142800*sinf*z2^2*z3 + 63000*z2*z3^2 - 
    525000*z3*z5 - 469875*sinf*z7)/42000, H[1, 0, 0, 1, 1, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    18144000*ln2^2*s6 - 22176000*ln2*s7a - 3360000*ln2*s7b - 27027525*s8a - 
    133560000*s8b - 1344000*s8c - 26880000*s8d + 2016000*ln2*s6*sinf - 
    11424000*s7a*sinf + 7392000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 72576000*s6*z2 + 20966400*li4half*z2^2 - 
    890400*ln2^4*z2^2 - 11440800*ln2^2*z2^3 + 9273600*ln2*sinf*z2^3 + 
    8915076*z2^4 + 53760000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    2506000*ln2^5*z3 - 11760000*li4half*sinf*z3 - 490000*ln2^4*sinf*z3 + 
    16828000*ln2^3*z2*z3 + 2940000*ln2^2*sinf*z2*z3 + 62370000*ln2*z2^2*z3 + 
    13633200*sinf*z2^2*z3 - 37086000*ln2^2*z3^2 - 33390000*ln2*sinf*z3^2 + 
    17472000*z2*z3^2 - 18228000*ln2^3*z5 - 18228000*ln2^2*sinf*z5 + 
    6258000*ln2*z2*z5 - 9292500*sinf*z2*z5 - 123123000*z3*z5 - 
    62073375*ln2*z7 - 29460375*sinf*z7)/9408000, 
 H[1, 0, 0, 1, 1, 0, 0, 1, 1] -> (17*z2^4 + 28*sinf*z2^2*z3 - 140*z3*z5 - 
    70*sinf*z7)/280, H[1, 0, 0, 1, 1, 0, 0, 0, 1] -> 
  (350*s8a - 206*z2^4 - 420*sinf*z2^2*z3 - 175*z2*z3^2 + 1575*z3*z5 + 
    1050*sinf*z7)/350, H[1, 0, 0, 1, 1, 0, 0, -1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 504000*ln2^2*s6 + 
    1008000*ln2*s7a + 1008000*ln2*s7b + 321300*s8a + 1008000*s8b - 
    1008000*s8c + 1008000*s8d - 1008000*ln2*s6*sinf + 1008000*s7a*sinf + 
    1008000*s7b*sinf - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 
    2016000*s6*z2 - 3024000*li4half*z2^2 + 957600*ln2^2*z2^3 + 
    176400*ln2*sinf*z2^3 - 54882*z2^4 - 2016000*li5half*z3 + 
    3528000*li4half*ln2*z3 + 163800*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    147000*ln2^4*sinf*z3 - 1050000*ln2^3*z2*z3 - 882000*ln2^2*sinf*z2*z3 - 
    3320100*ln2*z2^2*z3 - 2375100*sinf*z2^2*z3 + 2173500*ln2^2*z3^2 + 
    2803500*ln2*sinf*z3^2 - 126000*z2*z3^2 + 63000*ln2*z2*z5 - 
    3937500*sinf*z2*z5 + 5977125*z3*z5 + 5032125*ln2*z7 + 10284750*sinf*z7)/
   1008000, H[1, 0, 0, 1, 1, 0, -1, 1, 1] -> 
  (-1008000*ln2^2*s6 - 90825*s8a + 9744000*s8b + 672000*s8c + 672000*s8d + 
    864000*ln2*s6*sinf - 864000*s7a*sinf - 2208000*s7b*sinf - 1344000*s6*z2 + 
    2822400*li4half*z2^2 + 117600*ln2^4*z2^2 - 453600*ln2^2*z2^3 - 
    1526400*ln2*sinf*z2^3 + 54828*z2^4 - 1344000*li5half*z3 + 
    11200*ln2^5*z3 - 5376000*li4half*sinf*z3 - 224000*ln2^4*sinf*z3 - 
    112000*ln2^3*z2*z3 + 1344000*ln2^2*sinf*z2*z3 - 1012200*ln2*z2^2*z3 + 
    2776800*sinf*z2^2*z3 + 231000*ln2^2*z3^2 - 1080000*ln2*sinf*z3^2 - 
    1092000*z2*z3^2 + 868000*ln2^3*z5 + 2604000*ln2^2*sinf*z5 - 
    3612000*ln2*z2*z5 + 4113000*sinf*z2*z5 - 1756125*z3*z5 - 8486250*sinf*z7)/
   1344000, H[1, 0, 0, 1, 1, 0, -1, 0, 1] -> 
  (-1200*s8a - 28800*s6*z2 + 1486*z2^4 + 14040*sinf*z2^2*z3 + 18750*z2*z3^2 + 
    55800*ln2*z2*z5 + 18600*sinf*z2*z5 - 52050*z3*z5 - 80475*sinf*z7)/19200, 
 H[1, 0, 0, 1, 1, 0, -1, -1, 1] -> (-336000*ln2^2*s6 + 672000*ln2*s7a - 
    672000*ln2*s7b + 1087275*s8a + 6384000*s8b + 672000*s8c + 672000*s8d + 
    336000*ln2*s6*sinf + 336000*s7a*sinf - 336000*s7b*sinf - 2352000*s6*z2 + 
    134400*li4half*z2^2 + 5600*ln2^4*z2^2 + 100800*ln2^2*z2^3 - 
    58800*ln2*sinf*z2^3 + 64794*z2^4 - 1344000*li5half*z3 + 11200*ln2^5*z3 - 
    112000*ln2^3*z2*z3 - 676200*ln2*z2^2*z3 + 105000*sinf*z2^2*z3 + 
    420000*ln2^2*z3^2 + 94500*ln2*sinf*z3^2 - 603750*z2*z3^2 + 
    868000*ln2^3*z5 + 651000*ln2*z2*z5 + 1218000*sinf*z2*z5 + 1126125*z3*z5 - 
    5334000*ln2*z7 - 1876875*sinf*z7)/672000, 
 H[1, 0, 0, 1, 1, -1, 1, 1, 1] -> (169344000*li4half^2 + 564480000*li8half - 
    18816000*li5half*ln2^3 - 123200*ln2^8 - 194544000*ln2^2*s6 + 
    545691825*s8a + 4142376000*s8b + 389088000*s8c + 457632000*s8d + 
    225792000*li7half*sinf - 18816000*li4half*ln2^3*sinf - 
    828800*ln2^7*sinf + 249984000*ln2*s6*sinf - 249984000*s7a*sinf + 
    18144000*s7b*sinf + 56448000*li5half*ln2*z2 + 1097600*ln2^6*z2 - 
    1338624000*s6*z2 - 225792000*li5half*sinf*z2 + 
    56448000*li4half*ln2*sinf*z2 + 9878400*ln2^5*sinf*z2 + 
    328608000*li4half*z2^2 - 14767200*ln2^4*z2^2 - 40689600*ln2^3*sinf*z2^2 + 
    4485600*ln2^2*z2^3 - 80287200*ln2*sinf*z2^3 - 103430808*z2^4 - 
    562464000*li5half*z3 + 4687200*ln2^5*z3 - 493920000*li4half*sinf*z3 - 
    20580000*ln2^4*sinf*z3 - 46872000*ln2^3*z2*z3 + 
    118188000*ln2^2*sinf*z2*z3 - 437308200*ln2*z2^2*z3 + 
    175946400*sinf*z2^2*z3 - 54715500*ln2^2*z3^2 - 312480000*ln2*sinf*z3^2 - 
    460939500*z2*z3^2 + 13671000*ln2^3*z5 - 259749000*ln2^2*sinf*z5 - 
    1208277000*ln2*z2*z5 - 87255000*sinf*z2*z5 + 469452375*z3*z5 + 
    118069875*sinf*z7)/56448000, H[1, 0, 0, 1, 1, -1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    43008000*ln2^2*s6 - 137939025*s8a - 641592000*s8b - 86016000*s8c - 
    55104000*s8d - 47712000*ln2*s6*sinf + 47712000*s7a*sinf - 
    22848000*s7b*sinf - 9408000*li5half*ln2*z2 - 4704000*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 + 204288000*s6*z2 - 9408000*li4half*ln2*sinf*z2 - 
    392000*ln2^5*sinf*z2 - 24662400*li4half*z2^2 + 1128400*ln2^4*z2^2 + 
    12936000*ln2^3*sinf*z2^2 - 16665600*ln2^2*z2^3 + 2520000*ln2*sinf*z2^3 + 
    17414196*z2^4 + 129024000*li5half*z3 - 1075200*ln2^5*z3 + 
    65856000*li4half*sinf*z3 + 2744000*ln2^4*sinf*z3 + 10752000*ln2^3*z2*z3 - 
    16464000*ln2^2*sinf*z2*z3 + 96478200*ln2*z2^2*z3 + 
    11949000*sinf*z2^2*z3 + 12096000*ln2^2*z3^2 + 59640000*ln2*sinf*z3^2 + 
    94867500*z2*z3^2 + 68355000*ln2^2*sinf*z5 + 264883500*ln2*z2*z5 + 
    69321000*sinf*z2*z5 - 258197625*z3*z5 - 187821375*sinf*z7)/9408000, 
 H[1, 0, 0, 1, 1, -1, 1, -1, 1] -> 
  (-197568000*li4half^2 + 338688000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 2352000*li4half*ln2^4 + 99400*ln2^8 + 
    208656000*ln2^2*s6 - 38304000*ln2*s7a + 74592000*ln2*s7b - 
    771680700*s8a - 3910032000*s8b - 467712000*s8c - 463680000*s8d + 
    112896000*li7half*sinf + 112896000*li6half*ln2*sinf + 
    18816000*li4half*ln2^3*sinf + 918400*ln2^7*sinf - 120960000*ln2*s6*sinf - 
    6048000*s7a*sinf - 20160000*s7b*sinf - 56448000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 744800*ln2^6*z2 + 
    1456560000*s6*z2 - 28224000*li5half*sinf*z2 - 141120000*li4half*ln2*sinf*
     z2 - 12230400*ln2^5*sinf*z2 + 66729600*li4half*z2^2 + 
    34414800*ln2^4*z2^2 + 44217600*ln2^3*sinf*z2^2 - 110426400*ln2^2*z2^3 + 
    62193600*ln2*sinf*z2^3 + 63709488*z2^4 + 990864000*li5half*z3 + 
    28224000*li4half*ln2*z3 - 7081200*ln2^5*z3 - 42336000*li4half*sinf*z3 - 
    1764000*ln2^4*sinf*z3 + 75516000*ln2^3*z2*z3 + 
    21168000*ln2^2*sinf*z2*z3 + 740980800*ln2*z2^2*z3 + 
    99817200*sinf*z2^2*z3 - 33925500*ln2^2*z3^2 - 111195000*ln2*sinf*z3^2 + 
    584293500*z2*z3^2 - 123039000*ln2^3*z5 + 13671000*ln2^2*sinf*z5 + 
    1221507000*ln2*z2*z5 + 169911000*sinf*z2*z5 - 1826527500*z3*z5 - 
    142450875*ln2*z7 - 621164250*sinf*z7)/56448000, 
 H[1, 0, 0, 1, 1, -1, 0, 1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 - 739200*ln2^2*s6 + 
    2214450*s8a - 14784000*s8b + 1478400*s8c - 1478400*s8d - 
    7929600*ln2*s6*sinf + 7929600*s7a*sinf - 1478400*s7b*sinf - 
    3763200*li5half*ln2*z2 + 940800*li4half*ln2^2*z2 + 70560*ln2^6*z2 + 
    5779200*s6*z2 + 3763200*li5half*sinf*z2 - 3763200*li4half*ln2*sinf*z2 - 
    188160*ln2^5*sinf*z2 - 3212160*li4half*z2^2 - 329840*ln2^4*z2^2 + 
    1254400*ln2^3*sinf*z2^2 + 1680000*ln2^2*z2^3 + 2570400*ln2*sinf*z2^3 + 
    377092*z2^4 - 2217600*li5half*z3 + 18480*ln2^5*z3 + 
    13641600*li4half*sinf*z3 + 568400*ln2^4*sinf*z3 - 184800*ln2^3*z2*z3 - 
    3410400*ln2^2*sinf*z2*z3 - 1635480*ln2*z2^2*z3 - 4825800*sinf*z2^2*z3 - 
    207900*ln2^2*z3^2 + 9912000*ln2*sinf*z3^2 - 1932000*z2*z3^2 + 
    9114000*ln2^2*sinf*z5 - 1701000*ln2*z2*z5 + 6165600*sinf*z2*z5 + 
    13605375*z3*z5 - 10017000*sinf*z7)/1881600, 
 H[1, 0, 0, 1, 1, -1, 0, 0, 1] -> (4032000*li4half^2 + 336000*li4half*ln2^4 + 
    7000*ln2^8 - 1008000*ln2^2*s6 + 4633650*s8a + 17136000*s8b + 
    2016000*s8c - 2016000*s8d + 7200000*ln2*s6*sinf - 7200000*s7a*sinf + 
    4896000*s7b*sinf - 2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 - 
    1008000*s6*z2 + 806400*li4half*z2^2 + 285600*ln2^4*z2^2 - 
    2520000*ln2^2*z2^3 - 741600*ln2*sinf*z2^3 - 787476*z2^4 - 
    3024000*li5half*z3 + 25200*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    294000*ln2^4*sinf*z3 - 252000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 - 
    2230200*ln2*z2^2*z3 - 2806200*sinf*z2^2*z3 - 283500*ln2^2*z3^2 - 
    9000000*ln2*sinf*z3^2 - 1228500*z2*z3^2 - 11718000*ln2^2*sinf*z5 - 
    6048000*ln2*z2*z5 - 14760000*sinf*z2*z5 + 5110875*z3*z5 + 
    37455750*sinf*z7)/2016000, H[1, 0, 0, 1, 1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    62496000*ln2^2*s6 + 30240000*ln2*s7a - 82656000*ln2*s7b + 2340450*s8a + 
    62496000*s8b - 72576000*s8c + 72576000*s8d - 16128000*ln2*s6*sinf + 
    129024000*s7a*sinf - 68544000*s7b*sinf - 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 823200*ln2^6*z2 - 180432000*s6*z2 - 
    84672000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    470400*ln2^5*sinf*z2 - 19353600*li4half*z2^2 - 3158400*ln2^4*z2^2 - 
    28274400*ln2^2*z2^3 - 49744800*ln2*sinf*z2^3 - 43386648*z2^4 - 
    25200000*li5half*z3 - 49392000*li4half*ln2*z3 - 1848000*ln2^5*z3 + 
    169344000*li4half*sinf*z3 + 7056000*ln2^4*sinf*z3 + 
    10248000*ln2^3*z2*z3 - 42336000*ln2^2*sinf*z2*z3 + 9324000*ln2*z2^2*z3 - 
    80136000*sinf*z2^2*z3 + 62338500*ln2^2*z3^2 + 189945000*ln2*sinf*z3^2 + 
    24774750*z2*z3^2 + 109368000*ln2^3*z5 + 191394000*ln2^2*sinf*z5 + 
    484564500*ln2*z2*z5 + 253165500*sinf*z2*z5 + 207860625*z3*z5 - 
    362864250*ln2*z7 - 77316750*sinf*z7)/28224000, 
 H[1, 0, 0, 1, 1, -1, -1, 1, 1] -> (-6773760*li4half^2 + 67737600*li8half - 
    9031680*li6half*ln2^2 - 752640*li5half*ln2^3 + 7168*ln2^8 - 
    14071680*ln2^2*s6 + 23990085*s8a + 149970240*s8b + 15724800*s8c + 
    15886080*s8d + 36126720*li7half*sinf - 2257920*li5half*ln2^2*sinf + 
    752640*li4half*ln2^3*sinf + 43008*ln2^7*sinf - 12579840*ln2*s6*sinf + 
    12579840*s7a*sinf - 12257280*s7b*sinf + 9031680*li6half*z2 + 
    4515840*li5half*ln2*z2 + 2257920*li4half*ln2^2*z2 + 6272*ln2^6*z2 - 
    41368320*s6*z2 - 6773760*li5half*sinf*z2 - 6773760*li4half*ln2*sinf*z2 - 
    451584*ln2^5*sinf*z2 + 4757760*li4half*z2^2 + 546336*ln2^4*z2^2 + 
    2549568*ln2^3*sinf*z2^2 + 2473632*ln2^2*z2^3 + 1794240*ln2*sinf*z2^3 - 
    6561360*z2^4 - 22176000*li5half*z3 + 184800*ln2^5*z3 + 
    6773760*li4half*sinf*z3 + 282240*ln2^4*sinf*z3 - 1848000*ln2^3*z2*z3 - 
    1905120*ln2^2*sinf*z2*z3 - 16901640*ln2*z2^2*z3 + 1082592*sinf*z2^2*z3 - 
    6300*ln2^2*z3^2 + 15724800*ln2*sinf*z3^2 - 20181420*z2*z3^2 + 
    1275960*ln2^3*z5 + 26795160*ln2^2*sinf*z5 - 52642800*ln2*z2*z5 + 
    43820280*sinf*z2*z5 + 20525715*z3*z5 - 91633500*sinf*z7)/2257920, 
 H[1, 0, 0, 1, 1, -1, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    34272000*ln2^2*s6 + 110815425*s8a + 634032000*s8b + 68544000*s8c + 
    72576000*s8d + 57456000*ln2*s6*sinf - 57456000*s7a*sinf + 
    27216000*s7b*sinf - 169344000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 332136000*s6*z2 - 
    14112000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 + 20865600*li4half*z2^2 - 3246600*ln2^4*z2^2 - 
    15288000*ln2^3*sinf*z2^2 + 30391200*ln2^2*z2^3 - 5191200*ln2*sinf*z2^3 + 
    10284228*z2^4 - 102816000*li5half*z3 + 856800*ln2^5*z3 - 
    74088000*li4half*sinf*z3 - 3087000*ln2^4*sinf*z3 - 8568000*ln2^3*z2*z3 + 
    18522000*ln2^2*sinf*z2*z3 - 75826800*ln2*z2^2*z3 + 
    16386300*sinf*z2^2*z3 - 9639000*ln2^2*z3^2 - 71820000*ln2*sinf*z3^2 - 
    37737000*z2*z3^2 - 82026000*ln2^2*sinf*z5 - 164619000*ln2*z2*z5 - 
    65504250*sinf*z2*z5 + 140553000*z3*z5 + 110320875*sinf*z7)/14112000, 
 H[1, 0, 0, 1, 1, -1, -1, -1, 1] -> 
  (-56448000*li4half^2 + 564480000*li7half*ln2 + 282240000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 18816000*li4half*ln2^4 - 562800*ln2^8 + 
    14112000*ln2^2*s6 + 187488000*ln2*s7a - 348768000*ln2*s7b + 
    280753200*s8a + 1632960000*s8b + 133056000*s8c + 233856000*s8d - 
    338688000*li7half*sinf + 112896000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    1030400*ln2^7*sinf + 211680000*ln2*s6*sinf + 14112000*s7a*sinf + 
    14112000*s7b*sinf - 56448000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 4312000*ln2^6*z2 - 764064000*s6*z2 - 
    141120000*li5half*sinf*z2 + 6820800*ln2^5*sinf*z2 + 
    55238400*li4half*z2^2 - 23100000*ln2^4*z2^2 - 38337600*ln2^3*sinf*z2^2 - 
    453600*ln2^2*z2^3 - 116272800*ln2*sinf*z2^3 - 40498488*z2^4 - 
    277200000*li5half*z3 - 112896000*li4half*ln2*z3 - 2394000*ln2^5*z3 + 
    70560000*li4half*sinf*z3 + 2940000*ln2^4*sinf*z3 + 5124000*ln2^3*z2*z3 - 
    17640000*ln2^2*sinf*z2*z3 - 81673200*ln2*z2^2*z3 - 
    57506400*sinf*z2^2*z3 + 147514500*ln2^2*z3^2 - 8379000*ln2*sinf*z3^2 - 
    163957500*z2*z3^2 + 487599000*ln2^3*z5 - 68355000*ln2^2*sinf*z5 + 
    710451000*ln2*z2*z5 + 67032000*sinf*z2*z5 + 528585750*z3*z5 - 
    2315809125*ln2*z7 + 566188875*sinf*z7)/56448000, 
 H[1, 0, 0, 1, 0, 1, 1, 1, 1] -> 
  (-5600*s8a + 31744*z2^4 + 19600*sinf*z2^2*z3 + 77000*sinf*z2*z5 - 
    182000*z3*z5 - 193375*sinf*z7)/14000, H[1, 0, 0, 1, 0, 1, 1, 0, 1] -> 
  (113400*s8a - 91741*z2^4 - 107100*sinf*z2^2*z3 - 63000*z2*z3^2 + 
    567000*z3*z5 + 343875*sinf*z7)/21000, H[1, 0, 0, 1, 0, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    71232000*ln2^2*s6 - 44352000*ln2*s7a + 35616000*ln2*s7b - 91140525*s8a - 
    585480000*s8b - 86688000*s8c - 54432000*s8d - 15456000*ln2*s6*sinf - 
    17472000*s7a*sinf + 24864000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 + 195888000*s6*z2 - 18816000*li5half*sinf*z2 + 
    156800*ln2^5*sinf*z2 - 46636800*li4half*z2^2 - 179200*ln2^4*z2^2 - 
    1568000*ln2^3*sinf*z2^2 - 6098400*ln2^2*z2^3 - 4838400*ln2*sinf*z2^3 - 
    11951664*z2^4 + 132384000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    954800*ln2^5*z3 + 30576000*li4half*sinf*z3 + 1274000*ln2^4*sinf*z3 - 
    1316000*ln2^3*z2*z3 + 13524000*ln2^2*sinf*z2*z3 + 22449000*ln2*z2^2*z3 - 
    33579000*sinf*z2^2*z3 - 19068000*ln2^2*z3^2 + 26523000*ln2*sinf*z3^2 + 
    66633000*z2*z3^2 - 77469000*ln2^3*z5 - 41013000*ln2^2*sinf*z5 + 
    152943000*ln2*z2*z5 - 68995500*sinf*z2*z5 - 66864000*z3*z5 + 
    296567250*ln2*z7 + 187404000*sinf*z7)/9408000, 
 H[1, 0, 0, 1, 0, 1, 0, 1, 1] -> 
  (-75600*s8a + 8374*z2^4 + 37800*sinf*z2^2*z3 - 126000*z2*z3^2 - 
    315000*sinf*z2*z5 + 252000*z3*z5 + 412125*sinf*z7)/42000, 
 H[1, 0, 0, 1, 0, 1, 0, 0, 1] -> (-1400*s8a + 1166*z2^4 + 2100*sinf*z2^2*z3 + 
    1400*z2*z3^2 - 8925*z3*z5 - 6300*sinf*z7)/350, 
 H[1, 0, 0, 1, 0, 1, 0, -1, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 - 403200*ln2^2*s6 + 
    806400*ln2*s7a + 806400*ln2*s7b - 2115540*s8a + 7076160*s8b - 
    806400*s8c + 806400*s8d - 806400*ln2*s6*sinf + 806400*s7a*sinf + 
    806400*s7b*sinf + 1128960*li4half*ln2^2*z2 + 47040*ln2^6*z2 - 
    1612800*s6*z2 + 3773952*li4half*z2^2 + 16128*ln2^4*z2^2 - 
    782208*ln2^2*z2^3 + 141120*ln2*sinf*z2^3 + 1273416*z2^4 - 
    1612800*li5half*z3 - 3951360*li4half*ln2*z3 - 151200*ln2^5*z3 - 
    3951360*li4half*sinf*z3 - 164640*ln2^4*sinf*z3 + 853440*ln2^3*z2*z3 + 
    987840*ln2^2*sinf*z2*z3 + 2762928*ln2*z2^2*z3 + 2654064*sinf*z2^2*z3 - 
    1224720*ln2^2*z3^2 - 3684240*ln2*sinf*z3^2 + 2016000*z2*z3^2 + 
    50400*ln2*z2*z5 - 2298240*sinf*z2*z5 - 13721400*z3*z5 - 8415855*ln2*z7 + 
    607005*sinf*z7)/564480, H[1, 0, 0, 1, 0, 1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    40320000*ln2^2*s6 + 40071150*s8a + 340200000*s8b + 33600000*s8c + 
    41664000*s8d - 23520000*ln2*s6*sinf + 23520000*s7a*sinf + 
    37632000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    97440000*s6*z2 - 75264000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 1724800*ln2^5*sinf*z2 + 35616000*li4half*z2^2 - 
    2044000*ln2^4*z2^2 + 7840000*ln2^3*sinf*z2^2 + 1176000*ln2^2*z2^3 - 
    4586400*ln2*sinf*z2^3 + 2201604*z2^4 + 67200000*li5half*z3 - 
    560000*ln2^5*z3 + 23520000*li4half*sinf*z3 + 980000*ln2^4*sinf*z3 + 
    5600000*ln2^3*z2*z3 - 48216000*ln2^2*sinf*z2*z3 - 27762000*ln2*z2^2*z3 - 
    25401600*sinf*z2^2*z3 + 15414000*ln2^2*z3^2 + 29400000*ln2*sinf*z3^2 - 
    60480000*z2*z3^2 + 21266000*ln2^3*z5 + 18228000*ln2^2*sinf*z5 - 
    164598000*ln2*z2*z5 - 76146000*sinf*z2*z5 - 2567250*z3*z5 + 
    305925375*sinf*z7)/9408000, H[1, 0, 0, 1, 0, 1, -1, 0, 1] -> 
  (-152775*s8a - 1041600*s8b + 537600*ln2*s6*sinf - 537600*s7a*sinf - 
    537600*s7b*sinf - 470400*s6*z2 - 40320*li4half*z2^2 - 1680*ln2^4*z2^2 + 
    10080*ln2^2*z2^3 + 57120*ln2*sinf*z2^3 - 62198*z2^4 - 
    268800*li4half*sinf*z3 - 11200*ln2^4*sinf*z3 + 67200*ln2^2*sinf*z2*z3 + 
    453600*ln2*z2^2*z3 + 653520*sinf*z2^2*z3 - 672000*ln2*sinf*z3^2 + 
    594300*z2*z3^2 + 1367100*ln2*z2*z5 + 2034900*sinf*z2*z5 - 1268400*z3*z5 - 
    5284650*sinf*z7)/134400, H[1, 0, 0, 1, 0, 1, -1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    20160000*ln2^2*s6 + 86688000*ln2*s7a - 96768000*ln2*s7b - 4406850*s8a + 
    626976000*s8b - 2016000*s8c + 114912000*s8d + 14112000*ln2*s6*sinf + 
    56448000*s7a*sinf - 56448000*s7b*sinf + 56448000*li4half*ln2^2*z2 + 
    2352000*ln2^6*z2 - 321552000*s6*z2 - 56448000*li5half*sinf*z2 + 
    470400*ln2^5*sinf*z2 + 166924800*li4half*z2^2 - 100800*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 - 29836800*ln2^2*z2^3 - 27518400*ln2*sinf*z2^3 + 
    4672944*z2^4 - 159264000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    6904800*ln2^5*z3 - 127008000*li4half*sinf*z3 - 5292000*ln2^4*sinf*z3 + 
    36120000*ln2^3*z2*z3 + 95256000*ln2^2*sinf*z2*z3 + 
    133774200*ln2*z2^2*z3 + 109632600*sinf*z2^2*z3 - 49896000*ln2^2*z3^2 - 
    125685000*ln2*sinf*z3^2 + 71190000*z2*z3^2 + 113925000*ln2^3*z5 + 
    13671000*ln2^2*sinf*z5 + 391734000*ln2*z2*z5 + 283122000*sinf*z2*z5 - 
    336609000*z3*z5 - 929273625*ln2*z7 - 487856250*sinf*z7)/28224000, 
 H[1, 0, 0, 1, 0, 0, 1, 1, 1] -> (-18900*s8a + 2661*z2^4 - 31500*sinf*z2*z5 + 
    53375*sinf*z7)/7000, H[1, 0, 0, 1, 0, 0, 1, 0, 1] -> 
  (4725*s8a - 1384*z2^4 - 2100*sinf*z2^2*z3 - 875*z2*z3^2 + 7875*z3*z5 + 
    5250*sinf*z7)/1750, H[1, 0, 0, 1, 0, 0, 1, -1, 1] -> 
  (-31920000*ln2^2*s6 + 24192000*ln2*s7a - 32256000*ln2*s7b + 71524425*s8a + 
    351120000*s8b + 43680000*s8c + 40992000*s8d + 4032000*ln2*s6*sinf + 
    24192000*s7a*sinf - 32256000*s7b*sinf - 138432000*s6*z2 + 
    8198400*li4half*z2^2 + 341600*ln2^4*z2^2 + 8148000*ln2^2*z2^3 - 
    13557600*ln2*sinf*z2^3 - 6875472*z2^4 - 81984000*li5half*z3 + 
    683200*ln2^5*z3 - 6832000*ln2^3*z2*z3 - 52218600*ln2*z2^2*z3 + 
    5363400*sinf*z2^2*z3 + 22407000*ln2^2*z3^2 + 26859000*ln2*sinf*z3^2 - 
    47460000*z2*z3^2 + 54684000*ln2^3*z5 + 54684000*ln2^2*sinf*z5 - 
    2772000*ln2*z2*z5 + 92767500*sinf*z2*z5 + 140946750*z3*z5 - 
    186149250*ln2*z7 - 133339500*sinf*z7)/4704000, 
 H[1, 0, 0, 1, 0, 0, 0, 1, 1] -> (175*s8a - 4*z2^4 + 28*sinf*z2^2*z3 + 
    35*z2*z3^2 + 700*sinf*z2*z5 - 210*z3*z5 - 1260*sinf*z7)/70, 
 H[1, 0, 0, 1, 0, 0, 0, 0, 1] -> (-175*s8a - 176*z2^4 + 175*z3*z5 + 
    2625*sinf*z7)/175, H[1, 0, 0, 1, 0, 0, 0, -1, 1] -> 
  (-125300*s8a - 1064000*s8b - 153968*z2^4 + 39200*sinf*z2^2*z3 + 
    28000*z2*z3^2 + 126000*sinf*z2*z5 + 591500*z3*z5 + 2111375*ln2*z7 - 
    317625*sinf*z7)/112000, H[1, 0, 0, 1, 0, 0, -1, 1, 1] -> 
  (19824000*ln2^2*s6 - 13487775*s8a - 116256000*s8b - 11424000*s8c - 
    16800000*s8d + 16800000*ln2*s6*sinf - 16800000*s7a*sinf + 
    11424000*s7b*sinf + 33600000*s6*z2 - 3360000*li4half*z2^2 - 
    140000*ln2^4*z2^2 - 4519200*ln2^2*z2^3 + 9912000*ln2*sinf*z2^3 + 
    1057836*z2^4 + 33600000*li5half*z3 - 280000*ln2^5*z3 + 
    2800000*ln2^3*z2*z3 + 25809000*ln2*z2^2*z3 + 1243200*sinf*z2^2*z3 - 
    7287000*ln2^2*z3^2 - 21000000*ln2*sinf*z3^2 + 23268000*z2*z3^2 - 
    18228000*ln2^3*z5 - 54684000*ln2^2*sinf*z5 + 57204000*ln2*z2*z5 - 
    8715000*sinf*z2*z5 - 73423875*z3*z5 - 10615500*sinf*z7)/4704000, 
 H[1, 0, 0, 1, 0, 0, -1, 0, 1] -> (280*s8a + 40320*s6*z2 + 2482*z2^4 - 
    12264*sinf*z2^2*z3 - 23170*z2*z3^2 - 78120*ln2*z2*z5 - 26040*sinf*z2*z5 + 
    55790*z3*z5 + 79905*sinf*z7)/4480, H[1, 0, 0, 1, 0, 0, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    21672000*ln2^2*s6 - 43344000*ln2*s7a + 41328000*ln2*s7b - 60131925*s8a - 
    384048000*s8b - 41328000*s8c - 43344000*s8d - 24192000*ln2*s6*sinf - 
    18144000*s7a*sinf + 24192000*s7b*sinf - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 + 150192000*s6*z2 - 31248000*li4half*z2^2 - 
    420000*ln2^4*z2^2 - 856800*ln2^2*z2^3 + 4233600*ln2*sinf*z2^3 + 
    481392*z2^4 + 86688000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    306600*ln2^5*z3 + 24696000*li4half*sinf*z3 + 1029000*ln2^4*sinf*z3 + 
    1050000*ln2^3*z2*z3 - 6174000*ln2^2*sinf*z2*z3 + 23341500*ln2*z2^2*z3 - 
    22081500*sinf*z2^2*z3 - 16285500*ln2^2*z3^2 + 14805000*ln2*sinf*z3^2 + 
    28901250*z2*z3^2 - 54684000*ln2^3*z5 - 41076000*ln2*z2*z5 - 
    90688500*sinf*z2*z5 - 42934500*z3*z5 + 293005125*ln2*z7 + 
    161910000*sinf*z7)/7056000, H[1, 0, 0, 1, 0, -1, 1, 1, 1] -> 
  (-174720*ln2^2*s6 - 83895*s8a - 2788800*s8b + 349440*s8c - 631680*s8d - 
    819840*ln2*s6*sinf + 819840*s7a*sinf + 349440*s7b*sinf + 1404480*s6*z2 + 
    752640*li5half*sinf*z2 - 6272*ln2^5*sinf*z2 - 1593984*li4half*z2^2 - 
    66416*ln2^4*z2^2 + 62720*ln2^3*sinf*z2^2 + 374640*ln2^2*z2^3 + 
    468384*ln2*sinf*z2^3 + 497016*z2^4 - 241920*li5half*z3 + 2016*ln2^5*z3 + 
    1881600*li4half*sinf*z3 + 78400*ln2^4*sinf*z3 - 20160*ln2^3*z2*z3 - 
    540960*ln2^2*sinf*z2*z3 - 478296*ln2*z2^2*z3 - 848400*sinf*z2^2*z3 - 
    49140*ln2^2*z3^2 + 1024800*ln2*sinf*z3^2 - 153300*z2*z3^2 + 
    91140*ln2^3*z5 + 455700*ln2^2*sinf*z5 - 1321740*ln2*z2*z5 - 
    1773240*sinf*z2*z5 + 1569750*z3*z5 + 2683905*sinf*z7)/188160, 
 H[1, 0, 0, 1, 0, -1, 1, 0, 1] -> 
  (782775*s8a + 2604000*s8b + 1344000*ln2*s6*sinf - 1344000*s7a*sinf - 
    1344000*s7b*sinf - 840000*s6*z2 + 1612800*li4half*z2^2 + 
    67200*ln2^4*z2^2 - 403200*ln2^2*z2^3 - 613200*ln2*sinf*z2^3 - 
    716666*z2^4 - 4032000*li4half*sinf*z3 - 168000*ln2^4*sinf*z3 + 
    1008000*ln2^2*sinf*z2*z3 + 189000*ln2*z2^2*z3 + 1188600*sinf*z2^2*z3 - 
    1680000*ln2*sinf*z3^2 + 73500*z2*z3^2 + 488250*ln2*z2*z5 + 
    3948000*sinf*z2*z5 + 496125*z3*z5 - 6210750*sinf*z7)/336000, 
 H[1, 0, 0, 1, 0, -1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    29064000*ln2^2*s6 + 17808000*ln2*s7a - 22176000*ln2*s7b + 64306725*s8a + 
    325836000*s8b + 38976000*s8c + 38640000*s8d + 13776000*ln2*s6*sinf + 
    2688000*s7a*sinf - 6720000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 124320000*s6*z2 + 18816000*li5half*sinf*z2 + 
    28224000*li4half*ln2*sinf*z2 + 1019200*ln2^5*sinf*z2 - 
    12499200*li4half*z2^2 + 1243200*ln2^4*z2^2 - 5488000*ln2^3*sinf*z2^2 + 
    11726400*ln2^2*z2^3 - 6762000*ln2*sinf*z2^3 - 3294174*z2^4 - 
    100800000*li5half*z3 + 840000*ln2^5*z3 - 4704000*li4half*sinf*z3 - 
    196000*ln2^4*sinf*z3 - 8400000*ln2^3*z2*z3 + 4704000*ln2^2*sinf*z2*z3 - 
    62554800*ln2*z2^2*z3 - 2742600*sinf*z2^2*z3 + 18837000*ln2^2*z3^2 + 
    7476000*ln2*sinf*z3^2 - 46431000*z2*z3^2 + 36456000*ln2^3*z5 + 
    9114000*ln2^2*sinf*z5 - 43701000*ln2*z2*z5 - 4294500*sinf*z2*z5 + 
    166010250*z3*z5 - 106081500*ln2*z7 - 4029375*sinf*z7)/4704000, 
 H[1, 0, 0, 1, 0, -1, 0, 1, 1] -> (897225*s8a - 1008000*s6*z2 - 327664*z2^4 - 
    25200*sinf*z2^2*z3 + 483000*z2*z3^2 + 1953000*ln2*z2*z5 + 
    1785000*sinf*z2*z5 - 304500*z3*z5 - 2926875*sinf*z7)/672000, 
 H[1, 0, 0, 1, 0, -1, 0, 0, 1] -> 
  (-167825*s8a + 69788*z2^4 + 142800*sinf*z2^2*z3 + 42000*z2*z3^2 - 
    521500*z3*z5 - 317625*sinf*z7)/112000, H[1, 0, 0, 1, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 36288000*ln2*s7a - 36288000*ln2*s7b - 1170225*s8a - 
    31248000*s8b + 36288000*s8c - 36288000*s8d + 36288000*ln2*s6*sinf - 
    36288000*s7a*sinf - 36288000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 61992000*s6*z2 + 83059200*li4half*z2^2 - 
    67200*ln2^4*z2^2 - 28022400*ln2^2*z2^3 - 6350400*ln2*sinf*z2^3 + 
    1477884*z2^4 + 72576000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    4720800*ln2^5*z3 - 98784000*li4half*sinf*z3 - 4116000*ln2^4*sinf*z3 + 
    30744000*ln2^3*z2*z3 + 24696000*ln2^2*sinf*z2*z3 + 96944400*ln2*z2^2*z3 + 
    70056000*sinf*z2^2*z3 - 65898000*ln2^2*z3^2 - 76230000*ln2*sinf*z3^2 - 
    2740500*z2*z3^2 + 18238500*ln2*z2*z5 + 125338500*sinf*z2*z5 - 
    171265500*z3*z5 - 191157750*ln2*z7 - 325717875*sinf*z7)/14112000, 
 H[1, 0, 0, 1, 0, -1, -1, 1, 1] -> (3830400*ln2^2*s6 - 2315775*s8a - 
    46166400*s8b - 134400*s8c - 10214400*s8d - 940800*ln2*s6*sinf + 
    940800*s7a*sinf + 940800*s7b*sinf + 21840000*s6*z2 + 
    7526400*li5half*sinf*z2 - 62720*ln2^5*sinf*z2 - 3924480*li4half*z2^2 - 
    163520*ln2^4*z2^2 + 627200*ln2^3*sinf*z2^2 - 672000*ln2^2*z2^3 + 
    3575040*ln2*sinf*z2^3 + 1828116*z2^4 + 5376000*li5half*z3 - 
    44800*ln2^5*z3 + 3763200*li4half*sinf*z3 + 156800*ln2^4*sinf*z3 + 
    448000*ln2^3*z2*z3 - 1646400*ln2^2*sinf*z2*z3 + 2171400*ln2*z2^2*z3 - 
    1317120*sinf*z2^2*z3 - 1906800*ln2^2*z3^2 + 1176000*ln2*sinf*z3^2 + 
    4599000*z2*z3^2 - 3949400*ln2^3*z5 - 4557000*ln2^2*sinf*z5 + 
    9517200*ln2*z2*z5 - 4263000*sinf*z2*z5 - 10309425*z3*z5 - 
    5424300*sinf*z7)/1881600, H[1, 0, 0, 1, 0, -1, -1, 0, 1] -> 
  (-318675*s8a + 1512000*s6*z2 + 229967*z2^4 - 249900*sinf*z2^2*z3 - 
    748125*z2*z3^2 - 2929500*ln2*z2*z5 - 813750*sinf*z2*z5 + 1173375*z3*z5 + 
    2168250*sinf*z7)/336000, H[1, 0, 0, 1, 0, -1, -1, -1, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 + 
    14616000*ln2^2*s6 - 29232000*ln2*s7a + 16632000*ln2*s7b - 35094150*s8a - 
    204120000*s8b - 16632000*s8c - 29232000*s8d - 3024000*ln2*s6*sinf - 
    14616000*s7a*sinf + 3024000*s7b*sinf + 3528000*li4half*ln2^2*z2 + 
    147000*ln2^6*z2 + 90216000*s6*z2 + 5443200*li4half*z2^2 - 
    214200*ln2^4*z2^2 - 7207200*ln2^2*z2^3 + 529200*ln2*sinf*z2^3 + 
    1568646*z2^4 + 58464000*li5half*z3 - 12348000*li4half*ln2*z3 - 
    1001700*ln2^5*z3 - 12348000*li4half*sinf*z3 - 514500*ln2^4*sinf*z3 + 
    7959000*ln2^3*z2*z3 + 3087000*ln2^2*sinf*z2*z3 + 36064350*ln2*z2^2*z3 + 
    6605550*sinf*z2^2*z3 - 23672250*ln2^2*z3^2 - 11655000*ln2*sinf*z3^2 + 
    18813375*z2*z3^2 - 29620500*ln2^3*z5 - 17482500*ln2*z2*z5 - 
    13954500*sinf*z2*z5 - 75237750*z3*z5 + 110817000*ln2*z7 + 
    2268000*sinf*z7)/7056000, H[1, 0, 0, 1, -1, 1, 1, 1, 1] -> 
  (-32256000*li8half - 800*ln2^8 + 10080000*ln2^2*s6 - 35262675*s8a - 
    245448000*s8b - 20160000*s8c - 25200000*s8d - 24192000*li7half*sinf + 
    4800*ln2^7*sinf - 13392000*ln2*s6*sinf + 13392000*s7a*sinf - 
    3744000*s7b*sinf + 22400*ln2^6*z2 + 73080000*s6*z2 + 
    24192000*li5half*sinf*z2 - 302400*ln2^5*sinf*z2 - 27619200*li4half*z2^2 - 
    75600*ln2^4*z2^2 + 2066400*ln2^3*sinf*z2^2 + 4122000*ln2^2*z2^3 + 
    5292000*ln2*sinf*z2^3 + 13261212*z2^4 + 2016000*li5half*z3 - 
    252000*ln2^5*z3 + 28224000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 + 
    2520000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 + 22302000*ln2*z2^2*z3 - 
    4543200*sinf*z2^2*z3 + 2835000*ln2^2*z3^2 + 16740000*ln2*sinf*z3^2 + 
    24255000*z2*z3^2 + 16600500*ln2^2*sinf*z5 + 60480000*ln2*z2*z5 + 
    9706500*sinf*z2*z5 - 26026875*z3*z5 - 39663000*sinf*z7)/4032000, 
 H[1, 0, 0, 1, -1, 1, 1, 0, 1] -> (-423360*ln2^2*s6 + 1442070*s8a + 
    5916960*s8b + 846720*s8c + 362880*s8d + 380160*ln2*s6*sinf - 
    380160*s7a*sinf + 224640*s7b*sinf + 322560*li6half*z2 + 448*ln2^6*z2 - 
    1512000*s6*z2 + 282240*li4half*z2^2 + 5040*ln2^4*z2^2 - 
    90720*ln2^3*sinf*z2^2 + 74088*ln2^2*z2^3 - 25488*ln2*sinf*z2^3 - 
    258066*z2^4 - 725760*li5half*z3 + 6048*ln2^5*z3 - 
    564480*li4half*sinf*z3 - 23520*ln2^4*sinf*z3 - 119280*ln2^3*z2*z3 + 
    105840*ln2^2*sinf*z2*z3 - 906948*ln2*z2^2*z3 - 212004*sinf*z2^2*z3 - 
    110250*ln2^2*z3^2 - 457560*ln2*sinf*z3^2 - 993510*z2*z3^2 - 
    585900*ln2^2*sinf*z5 - 2540160*ln2*z2*z5 - 678780*sinf*z2*z5 + 
    2517480*z3*z5 + 2141955*sinf*z7)/80640, H[1, 0, 0, 1, -1, 1, 1, -1, 1] -> 
  (36288000*li4half^2 + 145152000*li8half + 48384000*li7half*ln2 + 
    8064000*li6half*ln2^2 + 3024000*li4half*ln2^4 + 68200*ln2^8 - 
    66672000*ln2^2*s6 + 23328000*ln2*s7a - 47232000*ln2*s7b + 169988175*s8a + 
    826056000*s8b + 118944000*s8c + 68544000*s8d + 96768000*li7half*sinf + 
    16128000*li6half*ln2*sinf + 3200*ln2^7*sinf + 15552000*ln2*s6*sinf + 
    16704000*s7a*sinf - 31680000*s7b*sinf - 8064000*li6half*z2 - 
    18144000*li4half*ln2^2*z2 - 834400*ln2^6*z2 - 246960000*s6*z2 + 
    20160000*li5half*sinf*z2 + 36288000*li4half*ln2*sinf*z2 + 
    1411200*ln2^5*sinf*z2 - 12297600*li4half*z2^2 + 310800*ln2^4*z2^2 - 
    6988800*ln2^3*sinf*z2^2 + 19735200*ln2^2*z2^3 - 6796800*ln2*sinf*z2^3 - 
    12219192*z2^4 - 162288000*li5half*z3 + 1822800*ln2^5*z3 - 
    6048000*li4half*sinf*z3 + 336000*ln2^4*sinf*z3 - 18228000*ln2^3*z2*z3 + 
    4032000*ln2^2*sinf*z2*z3 - 154038600*ln2*z2^2*z3 - 1047600*sinf*z2^2*z3 + 
    20497500*ln2^2*z3^2 + 37008000*ln2*sinf*z3^2 - 131134500*z2*z3^2 + 
    68355000*ln2^3*z5 + 46872000*ln2^2*sinf*z5 - 215883000*ln2*z2*z5 + 
    63450000*sinf*z2*z5 + 301399875*z3*z5 - 165251250*ln2*z7 - 
    191497500*sinf*z7)/8064000, H[1, 0, 0, 1, -1, 1, 0, 1, 1] -> 
  (50400000*ln2^2*s6 - 95892300*s8a + 284760000*s8b - 100800000*s8c + 
    100800000*s8d + 139104000*ln2*s6*sinf - 139104000*s7a*sinf + 
    143136000*s7b*sinf - 112896000*li6half*z2 - 156800*ln2^6*z2 - 
    349776000*s6*z2 - 282240000*li5half*sinf*z2 + 2352000*ln2^5*sinf*z2 + 
    76608000*li4half*z2^2 + 5544000*ln2^4*z2^2 - 23520000*ln2^3*sinf*z2^2 - 
    44049600*ln2^2*z2^3 - 41479200*ln2*sinf*z2^3 - 22765908*z2^4 + 
    362880000*li5half*z3 - 3024000*ln2^5*z3 - 112896000*li4half*sinf*z3 - 
    4704000*ln2^4*sinf*z3 + 13776000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 + 
    182070000*ln2*z2^2*z3 + 17942400*sinf*z2^2*z3 + 8001000*ln2^2*z3^2 - 
    186228000*ln2*sinf*z3^2 + 54873000*z2*z3^2 - 273420000*ln2^2*sinf*z5 + 
    302400000*ln2*z2*z5 - 365337000*sinf*z2*z5 - 427014000*z3*z5 + 
    957434625*sinf*z7)/28224000, H[1, 0, 0, 1, -1, 1, 0, 0, 1] -> 
  (-252525*s8a - 1176000*s8b - 345600*ln2*s6*sinf + 345600*s7a*sinf - 
    460800*s7b*sinf + 336000*s6*z2 + 151200*ln2^2*z2^3 + 
    25920*ln2*sinf*z2^3 + 87401*z2^4 - 134400*li5half*z3 + 1120*ln2^5*z3 - 
    11200*ln2^3*z2*z3 + 112980*ln2*z2^2*z3 + 373560*sinf*z2^2*z3 - 
    44100*ln2^2*z3^2 + 343800*ln2*sinf*z3^2 + 77700*z2*z3^2 + 
    781200*ln2^2*sinf*z5 + 1378800*sinf*z2*z5 - 327075*z3*z5 - 
    3305025*sinf*z7)/67200, H[1, 0, 0, 1, -1, 1, 0, -1, 1] -> 
  (-40320000*ln2^2*s6 - 155232000*ln2*s7a + 183456000*ln2*s7b - 
    118457325*s8a - 647640000*s8b + 108864000*s8c - 278208000*s8d - 
    120960000*ln2*s6*sinf - 161280000*s7a*sinf + 346752000*s7b*sinf - 
    56448000*li6half*z2 - 78400*ln2^6*z2 + 708120000*s6*z2 + 
    84672000*li5half*sinf*z2 - 705600*ln2^5*sinf*z2 + 806400*li4half*z2^2 + 
    1209600*ln2^4*z2^2 + 7056000*ln2^3*sinf*z2^2 + 36237600*ln2^2*z2^3 + 
    152258400*ln2*sinf*z2^3 + 180864228*z2^4 + 450576000*li5half*z3 - 
    3754800*ln2^5*z3 - 112896000*li4half*sinf*z3 - 4704000*ln2^4*sinf*z3 + 
    29316000*ln2^3*z2*z3 + 15876000*ln2^2*sinf*z2*z3 + 
    142405200*ln2*z2^2*z3 + 1386000*sinf*z2^2*z3 - 261387000*ln2^2*z3^2 - 
    305676000*ln2*sinf*z3^2 + 16695000*z2*z3^2 - 328104000*ln2^3*z5 - 
    492156000*ln2^2*sinf*z5 - 876078000*ln2*z2*z5 - 1111855500*sinf*z2*z5 - 
    1017087750*z3*z5 + 231469875*ln2*z7 + 1512834750*sinf*z7)/28224000, 
 H[1, 0, 0, 1, -1, 1, -1, 1, 1] -> 
  (225792000*li8half + 56448000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    72800*ln2^8 - 121464000*ln2^2*s6 + 315729225*s8a + 2044224000*s8b + 
    249984000*s8c + 194544000*s8d + 56448000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf - 246400*ln2^7*sinf - 1008000*ln2*s6*sinf + 
    1008000*s7a*sinf + 64512000*s7b*sinf - 56448000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 627200*ln2^6*z2 - 614880000*s6*z2 - 
    28224000*li5half*sinf*z2 + 2822400*ln2^5*sinf*z2 + 
    38908800*li4half*z2^2 - 16959600*ln2^4*z2^2 - 7526400*ln2^3*sinf*z2^2 + 
    31399200*ln2^2*z2^3 + 3477600*ln2*sinf*z2^3 + 12431376*z2^4 - 
    290304000*li5half*z3 + 4065600*ln2^5*z3 + 2058000*ln2^4*sinf*z3 - 
    40656000*ln2^3*z2*z3 - 54684000*ln2^2*sinf*z2*z3 - 
    303357600*ln2*z2^2*z3 - 31600800*sinf*z2^2*z3 + 9828000*ln2^2*z3^2 + 
    13608000*ln2*sinf*z3^2 - 316260000*z2*z3^2 + 41013000*ln2^3*z5 - 
    872991000*ln2*z2*z5 - 281232000*sinf*z2*z5 + 519411375*z3*z5 + 
    534751875*sinf*z7)/28224000, H[1, 0, 0, 1, -1, 1, -1, 0, 1] -> 
  (161280000*ln2^2*s6 - 475588575*s8a - 2577960000*s8b - 322560000*s8c - 
    241920000*s8d - 88704000*ln2*s6*sinf + 88704000*s7a*sinf - 
    193536000*s7b*sinf + 56448000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    627200*ln2^6*z2 + 769608000*s6*z2 + 28224000*li5half*sinf*z2 - 
    235200*ln2^5*sinf*z2 - 48384000*li4half*z2^2 + 3864000*ln2^4*z2^2 + 
    44688000*ln2^3*sinf*z2^2 - 68493600*ln2^2*z2^3 - 15573600*ln2*sinf*z2^3 - 
    17108892*z2^4 + 392112000*li5half*z3 - 3267600*ln2^5*z3 + 
    53256000*ln2^3*z2*z3 + 12348000*ln2^2*sinf*z2*z3 + 
    420159600*ln2*z2^2*z3 + 108914400*sinf*z2^2*z3 + 20664000*ln2^2*z3^2 + 
    61488000*ln2*sinf*z3^2 + 437724000*z2*z3^2 + 273420000*ln2^2*sinf*z5 + 
    1152238500*ln2*z2*z5 + 638851500*sinf*z2*z5 - 881763750*z3*z5 - 
    1314243000*sinf*z7)/28224000, H[1, 0, 0, 1, -1, 1, -1, -1, 1] -> 
  (1241856000*li8half + 564480000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 + 154000*ln2^8 - 101808000*ln2^2*s6 + 
    58464000*ln2*s7a + 72576000*ln2*s7b - 317754675*s8a - 750456000*s8b - 
    54432000*s8c - 270144000*s8d + 451584000*li7half*sinf + 
    112896000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf + 
    537600*ln2^7*sinf - 191520000*ln2*s6*sinf + 64512000*s7a*sinf + 
    92736000*s7b*sinf - 56448000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    1019200*ln2^6*z2 + 766080000*s6*z2 + 84672000*li5half*sinf*z2 - 
    5880000*ln2^5*sinf*z2 + 30643200*li4half*z2^2 + 33499200*ln2^4*z2^2 + 
    26342400*ln2^3*sinf*z2^2 - 13658400*ln2^2*z2^3 + 
    148579200*ln2*sinf*z2^3 + 104155272*z2^4 + 420336000*li5half*z3 - 
    6795600*ln2^5*z3 - 169344000*li4half*sinf*z3 - 11172000*ln2^4*sinf*z3 + 
    67956000*ln2^3*z2*z3 + 109368000*ln2^2*sinf*z2*z3 + 
    352283400*ln2*z2^2*z3 + 128394000*sinf*z2^2*z3 - 158287500*ln2^2*z3^2 - 
    242172000*ln2*sinf*z3^2 + 277420500*z2*z3^2 - 95697000*ln2^3*z5 - 
    150381000*ln2^2*sinf*z5 + 72702000*ln2*z2*z5 - 260505000*sinf*z2*z5 - 
    1927870875*z3*z5 - 976074750*ln2*z7 - 354910500*sinf*z7)/56448000, 
 H[1, 0, 0, 1, -1, 0, 1, 1, 1] -> (-26880*ln2^2*s6 - 44625*s8a + 725760*s8b + 
    53760*s8c - 53760*s8d + 96000*ln2*s6*sinf - 96000*s7a*sinf - 
    96000*s7b*sinf + 107520*s6*z2 + 354816*li4half*z2^2 + 14784*ln2^4*z2^2 - 
    90048*ln2^2*z2^3 - 94560*ln2*sinf*z2^3 - 19104*z2^4 - 
    430080*li4half*sinf*z3 - 17920*ln2^4*sinf*z3 + 107520*ln2^2*sinf*z2*z3 - 
    171360*ln2*z2^2*z3 + 153432*sinf*z2^2*z3 - 1680*ln2^2*z3^2 - 
    108240*ln2*sinf*z3^2 - 40320*z2*z3^2 - 161280*ln2*z2*z5 - 
    22920*sinf*z2*z5 - 271005*z3*z5 + 51900*sinf*z7)/53760, 
 H[1, 0, 0, 1, -1, 0, 1, 0, 1] -> (1344000*ln2^2*s6 - 1621725*s8a - 
    8904000*s8b - 2688000*s8c + 2688000*s8d - 960000*ln2*s6*sinf + 
    960000*s7a*sinf + 960000*s7b*sinf - 2016000*s6*z2 - 
    2688000*li4half*z2^2 - 112000*ln2^4*z2^2 + 739200*ln2^2*z2^3 + 
    1248000*ln2*sinf*z2^3 - 452806*z2^4 - 2688000*li5half*z3 + 
    22400*ln2^5*z3 + 8064000*li4half*sinf*z3 + 336000*ln2^4*sinf*z3 - 
    224000*ln2^3*z2*z3 - 2016000*ln2^2*sinf*z2*z3 + 684600*ln2*z2^2*z3 - 
    1699800*sinf*z2^2*z3 + 1260000*ln2^2*z3^2 + 2964000*ln2*sinf*z3^2 + 
    703500*z2*z3^2 + 8064000*ln2*z2*z5 - 2820000*sinf*z2*z5 + 5635875*z3*z5 + 
    832875*sinf*z7)/672000, H[1, 0, 0, 1, -1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    150192000*ln2^2*s6 - 35616000*ln2*s7a + 58464000*ln2*s7b - 
    228539325*s8a - 983640000*s8b - 238560000*s8c - 15456000*s8d - 
    28224000*ln2*s6*sinf + 18816000*s7a*sinf - 37632000*s7b*sinf - 
    28224000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1411200*ln2^6*z2 + 
    162624000*s6*z2 - 75264000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 1724800*ln2^5*sinf*z2 + 18547200*li4half*z2^2 - 
    5107200*ln2^4*z2^2 + 7840000*ln2^3*sinf*z2^2 - 43747200*ln2^2*z2^3 - 
    17875200*ln2*sinf*z2^3 - 43727952*z2^4 + 143808000*li5half*z3 - 
    1198400*ln2^5*z3 + 47040000*li4half*sinf*z3 + 1960000*ln2^4*sinf*z3 + 
    24332000*ln2^3*z2*z3 + 12936000*ln2^2*sinf*z2*z3 + 
    181654200*ln2*z2^2*z3 - 5174400*sinf*z2^2*z3 - 2520000*ln2^2*z3^2 + 
    40425000*ln2*sinf*z3^2 + 207879000*z2*z3^2 - 91140000*ln2^3*z5 + 
    54684000*ln2^2*sinf*z5 + 609577500*ln2*z2*z5 + 192717000*sinf*z2*z5 - 
    276588375*z3*z5 + 184380000*ln2*z7 - 199258500*sinf*z7)/9408000, 
 H[1, 0, 0, 1, -1, 0, 0, 1, 1] -> (-672000*ln2^2*s6 + 1579725*s8a - 
    5712000*s8b + 1344000*s8c - 1344000*s8d - 672000*ln2*s6*sinf + 
    672000*s7a*sinf + 672000*s7b*sinf + 6048000*s6*z2 - 268800*li4half*z2^2 - 
    11200*ln2^4*z2^2 + 33600*ln2^2*z2^3 + 117600*ln2*sinf*z2^3 + 
    711036*z2^4 + 1344000*li5half*z3 - 11200*ln2^5*z3 + 112000*ln2^3*z2*z3 - 
    562800*ln2*z2^2*z3 - 130200*sinf*z2^2*z3 - 630000*ln2^2*z3^2 - 
    42000*ln2*sinf*z3^2 - 724500*z2*z3^2 - 4032000*ln2*z2*z5 + 
    4536000*sinf*z2*z5 - 2464875*z3*z5 - 7145250*sinf*z7)/672000, 
 H[1, 0, 0, 1, -1, 0, 0, 0, 1] -> (28175*s8a + 392000*s8b - 134400*s6*z2 - 
    100800*ln2*sinf*z2^3 - 5914*z2^4 - 29400*ln2*z2^2*z3 - 
    33880*sinf*z2^2*z3 + 27300*z2*z3^2 - 106925*z3*z5 + 399525*sinf*z7)/
   22400, H[1, 0, 0, 1, -1, 0, 0, -1, 1] -> 
  (-13708800*ln2^2*s6 + 10617600*ln2*s7a - 11961600*ln2*s7b + 24778950*s8a + 
    129158400*s8b + 17472000*s8c + 16396800*s8d + 1612800*ln2*s6*sinf + 
    9676800*s7a*sinf - 12902400*s7b*sinf - 53020800*s6*z2 + 
    3279360*li4half*z2^2 + 136640*ln2^4*z2^2 + 3423840*ln2^2*z2^3 - 
    4999680*ln2*sinf*z2^3 - 2885454*z2^4 - 34204800*li5half*z3 + 
    285040*ln2^5*z3 - 2850400*ln2^3*z2*z3 - 20270040*ln2*z2^2*z3 + 
    3168480*sinf*z2^2*z3 + 9315600*ln2^2*z3^2 + 9097200*ln2*sinf*z3^2 - 
    18373950*z2*z3^2 + 21873600*ln2^3*z5 + 21873600*ln2^2*sinf*z5 - 
    16573200*ln2*z2*z5 + 38606400*sinf*z2*z5 + 57830325*z3*z5 - 
    36158850*ln2*z7 - 58826250*sinf*z7)/940800, 
 H[1, 0, 0, 1, -1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    13776000*ln2^2*s6 + 52928400*s8a + 237216000*s8b + 36960000*s8c + 
    28896000*s8d + 43008000*ln2*s6*sinf - 43008000*s7a*sinf + 
    79296000*s7b*sinf + 28224000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 
    940800*ln2^6*z2 - 95424000*s6*z2 - 150528000*li5half*sinf*z2 - 
    56448000*li4half*ln2*sinf*z2 - 1097600*ln2^5*sinf*z2 + 
    51878400*li4half*z2^2 + 985600*ln2^4*z2^2 + 1568000*ln2^3*sinf*z2^2 + 
    3780000*ln2^2*z2^3 + 1478400*ln2*sinf*z2^3 - 6369516*z2^4 + 
    212688000*li5half*z3 - 1772400*ln2^5*z3 - 14112000*li4half*sinf*z3 - 
    588000*ln2^4*sinf*z3 + 5376000*ln2^3*z2*z3 - 21168000*ln2^2*sinf*z2*z3 + 
    50135400*ln2*z2^2*z3 - 11978400*sinf*z2^2*z3 - 30114000*ln2^2*z3^2 - 
    70224000*ln2*sinf*z3^2 - 15225000*z2*z3^2 - 30380000*ln2^3*z5 - 
    164052000*ln2^2*sinf*z5 - 88315500*ln2*z2*z5 - 42126000*sinf*z2*z5 - 
    254002875*z3*z5 + 290997000*sinf*z7)/9408000, 
 H[1, 0, 0, 1, -1, 0, -1, 0, 1] -> (1344000*ln2^2*s6 - 350700*s8a + 
    5376000*s8b - 2688000*s8c + 2688000*s8d + 1728000*ln2*s6*sinf - 
    1728000*s7a*sinf - 1728000*s7b*sinf - 2352000*s6*z2 + 
    336000*li4half*z2^2 + 14000*ln2^4*z2^2 - 16800*ln2^2*z2^3 - 
    734400*ln2*sinf*z2^3 - 1071182*z2^4 - 3360000*li5half*z3 + 
    28000*ln2^5*z3 - 1344000*li4half*sinf*z3 - 56000*ln2^4*sinf*z3 - 
    280000*ln2^3*z2*z3 + 336000*ln2^2*sinf*z2*z3 - 294000*ln2*z2^2*z3 + 
    5400*sinf*z2^2*z3 + 1554000*ln2^2*z3^2 + 192000*ln2*sinf*z3^2 - 
    1674750*z2*z3^2 - 1701000*ln2*z2*z5 + 1821000*sinf*z2*z5 + 
    10815000*z3*z5 - 1618875*sinf*z7)/672000, 
 H[1, 0, 0, 1, -1, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    188496000*ln2^2*s6 + 32256000*ln2*s7a - 249984000*ln2*s7b + 
    484688925*s8a + 2181312000*s8b + 312480000*s8c + 252000000*s8d - 
    20160000*ln2*s6*sinf + 48384000*s7a*sinf - 149184000*s7b*sinf + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 800352000*s6*z2 + 
    30643200*li4half*z2^2 - 487200*ln2^4*z2^2 + 53676000*ln2^2*z2^3 - 
    74037600*ln2*sinf*z2^3 - 59635152*z2^4 - 511056000*li5half*z3 - 
    49392000*li4half*ln2*z3 + 2200800*ln2^5*z3 + 77616000*li4half*sinf*z3 + 
    3234000*ln2^4*sinf*z3 - 30240000*ln2^3*z2*z3 - 
    19404000*ln2^2*sinf*z2*z3 - 344547000*ln2*z2^2*z3 - 
    26787600*sinf*z2^2*z3 + 121401000*ln2^2*z3^2 + 210420000*ln2*sinf*z3^2 - 
    416272500*z2*z3^2 + 364560000*ln2^3*z5 + 328104000*ln2^2*sinf*z5 - 
    331002000*ln2*z2*z5 + 387733500*sinf*z2*z5 + 1266071625*z3*z5 - 
    923517000*ln2*z7 - 532822500*sinf*z7)/28224000, 
 H[1, 0, 0, 1, -1, -1, 1, 1, 1] -> (24192000*li4half^2 - 177408000*li8half - 
    8064000*li5half*ln2^3 + 20800*ln2^8 + 11088000*ln2^2*s6 - 72227925*s8a - 
    498456000*s8b - 22176000*s8c - 90720000*s8d - 112896000*li7half*sinf - 
    2688000*li4half*ln2^3*sinf - 89600*ln2^7*sinf + 12384000*ln2*s6*sinf - 
    12384000*s7a*sinf + 44064000*s7b*sinf + 24192000*li5half*ln2*z2 - 
    246400*ln2^6*z2 + 237888000*s6*z2 + 32256000*li5half*sinf*z2 + 
    8064000*li4half*ln2*sinf*z2 + 268800*ln2^5*sinf*z2 - 
    37497600*li4half*z2^2 + 16800*ln2^4*z2^2 - 3662400*ln2^3*sinf*z2^2 + 
    1339200*ln2^2*z2^3 - 424800*ln2*sinf*z2^3 + 35755632*z2^4 + 
    74592000*li5half*z3 - 151200*ln2^5*z3 + 2016000*li4half*sinf*z3 + 
    672000*ln2^4*sinf*z3 + 5040000*ln2^3*z2*z3 - 10332000*ln2^2*sinf*z2*z3 + 
    15838200*ln2*z2^2*z3 - 19875600*sinf*z2^2*z3 + 2236500*ln2^2*z3^2 - 
    17244000*ln2*sinf*z3^2 + 43312500*z2*z3^2 + 11067000*ln2^3*z5 - 
    54684000*ln2^2*sinf*z5 + 33327000*ln2*z2*z5 - 182232000*sinf*z2*z5 - 
    65685375*z3*z5 + 389446875*sinf*z7)/8064000, 
 H[1, 0, 0, 1, -1, -1, 1, 0, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    65520000*ln2^2*s6 - 55989675*s8a - 86688000*s8b - 131040000*s8c + 
    131040000*s8d + 56448000*ln2*s6*sinf - 56448000*s7a*sinf - 
    112896000*s7b*sinf + 225792000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 431200*ln2^6*z2 - 106848000*s6*z2 - 
    28224000*li4half*ln2*sinf*z2 - 1176000*ln2^5*sinf*z2 + 
    58665600*li4half*z2^2 - 495600*ln2^4*z2^2 + 7056000*ln2^3*sinf*z2^2 - 
    55112400*ln2^2*z2^3 - 11642400*ln2*sinf*z2^3 - 98169408*z2^4 - 
    92736000*li5half*z3 + 772800*ln2^5*z3 + 12852000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 + 45385200*ln2*z2^2*z3 + 
    58388400*sinf*z2^2*z3 + 58558500*ln2^2*z3^2 + 9702000*ln2*sinf*z3^2 + 
    19782000*z2*z3^2 + 54684000*ln2^2*sinf*z5 + 509323500*ln2*z2*z5 + 
    333396000*sinf*z2*z5 + 150404625*z3*z5 - 731178000*sinf*z7)/28224000, 
 H[1, 0, 0, 1, -1, -1, 1, -1, 1] -> (56448000*li4half^2 + 677376000*li8half - 
    338688000*li7half*ln2 - 56448000*li6half*ln2^2 + 56448000*li5half*ln2^3 + 
    18816000*li4half*ln2^4 + 221200*ln2^8 + 128016000*ln2^2*s6 - 
    86688000*ln2*s7a + 195552000*ln2*s7b + 171369450*s8a + 1595664000*s8b - 
    153216000*s8c + 435456000*s8d + 451584000*li7half*sinf - 
    112896000*li6half*ln2*sinf + 18816000*li4half*ln2^3*sinf + 
    537600*ln2^7*sinf - 118944000*ln2*s6*sinf + 48384000*s7a*sinf - 
    205632000*s7b*sinf + 56448000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 2744000*ln2^6*z2 - 976752000*s6*z2 + 
    28224000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 + 
    3998400*ln2^5*sinf*z2 - 20160000*li4half*z2^2 - 2721600*ln2^4*z2^2 + 
    940800*ln2^3*sinf*z2^2 + 6804000*ln2^2*z2^3 - 8265600*ln2*sinf*z2^3 - 
    197100648*z2^4 - 821520000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    4729200*ln2^5*z3 + 84672000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 
    67284000*ln2^3*z2*z3 + 116424000*ln2^2*sinf*z2*z3 - 
    318024000*ln2*z2^2*z3 - 18320400*sinf*z2^2*z3 - 1039500*ln2^2*z3^2 + 
    232029000*ln2*sinf*z3^2 - 58180500*z2*z3^2 - 350889000*ln2^3*z5 + 
    246078000*ln2^2*sinf*z5 + 108801000*ln2*z2*z5 + 597429000*sinf*z2*z5 + 
    1018836000*z3*z5 + 1014827625*ln2*z7 - 1383952500*sinf*z7)/56448000, 
 H[1, 0, 0, 1, -1, -1, 0, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    31248000*ln2^2*s6 - 3683925*s8a - 214704000*s8b - 62496000*s8c + 
    62496000*s8d - 86688000*ln2*s6*sinf + 86688000*s7a*sinf - 
    54432000*s7b*sinf - 225792000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1685600*ln2^6*z2 - 209664000*s6*z2 - 
    56448000*li4half*ln2*sinf*z2 - 2352000*ln2^5*sinf*z2 + 
    25200000*li4half*z2^2 - 6594000*ln2^4*z2^2 + 14112000*ln2^3*sinf*z2^2 + 
    8971200*ln2^2*z2^3 + 4384800*ln2*sinf*z2^3 - 18001968*z2^4 - 
    19152000*li5half*z3 + 159600*ln2^5*z3 + 91728000*li4half*sinf*z3 + 
    3822000*ln2^4*sinf*z3 + 14868000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 + 
    65255400*ln2*z2^2*z3 - 10105200*sinf*z2^2*z3 - 6646500*ln2^2*z3^2 + 
    77490000*ln2*sinf*z3^2 + 104643000*z2*z3^2 + 136710000*ln2^2*sinf*z5 + 
    419895000*ln2*z2*z5 + 305424000*sinf*z2*z5 + 32697000*z3*z5 - 
    483808500*sinf*z7)/28224000, H[1, 0, 0, 1, -1, -1, 0, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 5040000*ln2^2*s6 + 
    5326650*s8a + 18144000*s8b + 10080000*s8c - 10080000*s8d + 
    5184000*ln2*s6*sinf - 5184000*s7a*sinf + 6912000*s7b*sinf - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 13104000*s6*z2 - 
    806400*li4half*z2^2 + 218400*ln2^4*z2^2 - 2318400*ln2^2*z2^3 - 
    388800*ln2*sinf*z2^3 + 4672704*z2^4 + 3024000*li5half*z3 - 
    25200*ln2^5*z3 - 7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 + 
    252000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 - 4573800*ln2*z2^2*z3 - 
    2125800*sinf*z2^2*z3 - 3181500*ln2^2*z3^2 - 10008000*ln2*sinf*z3^2 - 
    4851000*z2*z3^2 - 11718000*ln2^2*sinf*z5 - 30240000*ln2*z2*z5 - 
    20682000*sinf*z2*z5 - 10812375*z3*z5 + 46260000*sinf*z7)/2016000, 
 H[1, 0, 0, 1, -1, -1, 0, -1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    11088000*ln2^2*s6 + 30240000*ln2*s7a - 195552000*ln2*s7b + 75617325*s8a + 
    586656000*s8b + 86688000*s8c + 82656000*s8d + 72576000*ln2*s6*sinf + 
    96768000*s7a*sinf - 213696000*s7b*sinf - 112896000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 2900800*ln2^6*z2 - 
    376992000*s6*z2 - 112896000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 - 235200*ln2^5*sinf*z2 + 174585600*li4half*z2^2 - 
    2721600*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 - 66628800*ln2^2*z2^3 - 
    89510400*ln2*sinf*z2^3 - 28100208*z2^4 + 18144000*li5half*z3 - 
    197568000*li4half*ln2*z3 - 8383200*ln2^5*z3 - 91728000*li4half*sinf*z3 - 
    3822000*ln2^4*sinf*z3 + 59136000*ln2^3*z2*z3 + 
    35280000*ln2^2*sinf*z2*z3 + 162653400*ln2*z2^2*z3 + 
    132350400*sinf*z2^2*z3 - 37012500*ln2^2*z3^2 - 4284000*ln2*sinf*z3^2 - 
    10662750*z2*z3^2 + 218736000*ln2^3*z5 + 300762000*ln2^2*sinf*z5 + 
    437629500*ln2*z2*z5 + 742171500*sinf*z2*z5 - 99981000*z3*z5 - 
    784680750*ln2*z7 - 1155719250*sinf*z7)/28224000, 
 H[1, 0, 0, 1, -1, -1, -1, 1, 1] -> 
  (-254016000*li4half^2 - 1016064000*li8half + 225792000*li6half*ln2^2 + 
    94080000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 348600*ln2^8 + 
    299376000*ln2^2*s6 - 379129275*s8a - 2913624000*s8b - 288288000*s8c - 
    247968000*s8d - 338688000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 380800*ln2^7*sinf + 14112000*ln2*s6*sinf - 
    14112000*s7a*sinf + 239904000*s7b*sinf - 225792000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 98784000*li4half*ln2^2*z2 + 5056800*ln2^6*z2 + 
    608832000*s6*z2 - 282240000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*
     z2 - 9643200*ln2^5*sinf*z2 + 59068800*li4half*z2^2 - 
    3536400*ln2^4*z2^2 + 42571200*ln2^3*sinf*z2^2 - 54885600*ln2^2*z2^3 + 
    33919200*ln2*sinf*z2^3 + 56710656*z2^4 + 1102752000*li5half*z3 - 
    12482400*ln2^5*z3 + 148176000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 + 
    100128000*ln2^3*z2*z3 - 105840000*ln2^2*sinf*z2*z3 + 
    569759400*ln2*z2^2*z3 - 98960400*sinf*z2^2*z3 - 107194500*ln2^2*z3^2 - 
    104076000*ln2*sinf*z3^2 + 466483500*z2*z3^2 - 223293000*ln2^3*z5 - 
    464814000*ln2^2*sinf*z5 + 1302336000*ln2*z2*z5 - 218736000*sinf*z2*z5 - 
    1187164125*z3*z5 + 1157349375*sinf*z7)/56448000, 
 H[1, 0, 0, 1, -1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    55440000*ln2^2*s6 + 131222700*s8a + 753984000*s8b + 110880000*s8c + 
    30240000*s8d + 86688000*ln2*s6*sinf - 86688000*s7a*sinf + 
    12096000*s7b*sinf + 112896000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 78400*ln2^6*z2 - 11088000*s6*z2 + 
    28224000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    940800*ln2^5*sinf*z2 - 11592000*li4half*z2^2 + 693000*ln2^4*z2^2 - 
    15288000*ln2^3*sinf*z2^2 + 44150400*ln2^2*z2^3 - 7912800*ln2*sinf*z2^3 + 
    16531812*z2^4 - 173376000*li5half*z3 + 1444800*ln2^5*z3 - 
    105840000*li4half*sinf*z3 - 4410000*ln2^4*sinf*z3 - 
    35028000*ln2^3*z2*z3 + 14112000*ln2^2*sinf*z2*z3 - 
    153001800*ln2*z2^2*z3 + 1373400*sinf*z2^2*z3 + 9103500*ln2^2*z3^2 - 
    58968000*ln2*sinf*z3^2 - 205537500*z2*z3^2 - 95697000*ln2^2*sinf*z5 - 
    776947500*ln2*z2*z5 - 147987000*sinf*z2*z5 + 379740375*z3*z5 + 
    249306750*sinf*z7)/28224000, H[1, 0, 0, 1, -1, -1, -1, -1, 1] -> 
  (-112896000*li4half^2 - 677376000*li8half - 564480000*li7half*ln2 - 
    282240000*li6half*ln2^2 - 94080000*li5half*ln2^3 - 
    23520000*li4half*ln2^4 - 296800*ln2^8 - 40320000*ln2^2*s6 - 
    155232000*ln2*s7a - 127008000*ln2*s7b + 110101950*s8a + 174384000*s8b + 
    108864000*s8c + 32256000*s8d - 225792000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 425600*ln2^7*sinf + 28224000*ln2*s6*sinf - 
    141120000*s7b*sinf + 56448000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2822400*ln2^6*z2 - 149184000*s6*z2 - 
    84672000*li5half*sinf*z2 + 2116800*ln2^5*sinf*z2 + 
    101001600*li4half*z2^2 - 10138800*ln2^4*z2^2 - 18580800*ln2^3*sinf*z2^2 - 
    29584800*ln2^2*z2^3 - 111585600*ln2*sinf*z2^3 - 10574208*z2^4 + 
    27216000*li5half*z3 - 211680000*li4half*ln2*z3 - 5754000*ln2^5*z3 - 
    21168000*li4half*sinf*z3 + 3234000*ln2^4*sinf*z3 + 46956000*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 + 64436400*ln2*z2^2*z3 + 46216800*sinf*z2^2*z3 - 
    68449500*ln2^2*z3^2 + 72765000*ln2*sinf*z3^2 - 141403500*z2*z3^2 + 
    195951000*ln2^3*z5 + 355446000*ln2^2*sinf*z5 - 173124000*ln2*z2*z5 + 
    419832000*sinf*z2*z5 + 495542250*z3*z5 + 240620625*ln2*z7 - 
    378929250*sinf*z7)/56448000, H[1, 0, 0, 0, 1, 1, 1, 1, 1] -> 
  (525*s8a - 1716*z2^4 - 875*sinf*z2^2*z3 - 3500*sinf*z2*z5 + 9625*z3*z5 + 
    8750*sinf*z7)/1750, H[1, 0, 0, 0, 1, 1, 1, 0, 1] -> 
  (-8400*s8a + 6558*z2^4 + 5880*sinf*z2^2*z3 + 5600*z2*z3^2 - 42000*z3*z5 - 
    19075*sinf*z7)/2800, H[1, 0, 0, 0, 1, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    82656000*ln2^2*s6 + 66528000*ln2*s7a - 46368000*ln2*s7b + 58679775*s8a + 
    591192000*s8b + 74592000*s8c + 66528000*s8d + 4032000*ln2*s6*sinf + 
    38304000*s7a*sinf - 46368000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 224784000*s6*z2 + 28224000*li5half*sinf*z2 - 
    235200*ln2^5*sinf*z2 + 44352000*li4half*z2^2 + 84000*ln2^4*z2^2 + 
    5880000*ln2^3*sinf*z2^2 + 2772000*ln2^2*z2^3 + 1461600*ln2*sinf*z2^3 + 
    26442144*z2^4 - 168336000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    655200*ln2^5*z3 - 21168000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 
    5376000*ln2^3*z2*z3 - 15876000*ln2^2*sinf*z2*z3 - 16090200*ln2*z2^2*z3 + 
    46670400*sinf*z2^2*z3 + 46210500*ln2^2*z3^2 - 5040000*ln2*sinf*z3^2 - 
    31909500*z2*z3^2 + 109368000*ln2^3*z5 + 82026000*ln2^2*sinf*z5 - 
    84042000*ln2*z2*z5 + 124299000*sinf*z2*z5 - 35634375*z3*z5 - 
    374731875*ln2*z7 - 320268375*sinf*z7)/28224000, 
 H[1, 0, 0, 0, 1, 1, 0, 1, 1] -> 
  (69300*s8a - 40847*z2^4 - 31500*sinf*z2^2*z3 - 31500*z2*z3^2 + 
    52500*sinf*z2*z5 + 241500*z3*z5 + 13125*sinf*z7)/21000, 
 H[1, 0, 0, 0, 1, 1, 0, 0, 1] -> (-44*z2^4 - 84*sinf*z2^2*z3 + 210*z3*z5 + 
    315*sinf*z7)/105, H[1, 0, 0, 0, 1, 1, 0, -1, 1] -> 
  (2688000*ln2^2*s6 - 5376000*ln2*s7a - 5376000*ln2*s7b + 7065975*s8a - 
    27888000*s8b + 5376000*s8c - 5376000*s8d + 5376000*ln2*s6*sinf - 
    5376000*s7a*sinf - 5376000*s7b*sinf + 10752000*s6*z2 - 
    1075200*li4half*z2^2 - 44800*ln2^4*z2^2 - 806400*ln2^2*z2^3 - 
    940800*ln2*sinf*z2^3 - 6178964*z2^4 + 10752000*li5half*z3 - 
    89600*ln2^5*z3 + 896000*ln2^3*z2*z3 + 2654400*ln2*z2^2*z3 - 
    1129800*sinf*z2^2*z3 - 3360000*ln2^2*z3^2 + 1512000*ln2*sinf*z3^2 - 
    7266000*z2*z3^2 - 336000*ln2*z2*z5 + 17115000*sinf*z2*z5 + 
    35965125*z3*z5 + 17834250*ln2*z7 - 27111000*sinf*z7)/4704000, 
 H[1, 0, 0, 0, 1, 1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    1344000*ln2^2*s6 + 55014225*s8a + 122472000*s8b + 26208000*s8c + 
    2016000*s8d + 34944000*ln2*s6*sinf - 34944000*s7a*sinf + 
    2688000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    29904000*s6*z2 + 18816000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 1019200*ln2^5*sinf*z2 + 873600*li4half*z2^2 + 1800400*ln2^4*z2^2 - 
    9016000*ln2^3*sinf*z2^2 + 3746400*ln2^2*z2^3 - 33600*ln2*sinf*z2^3 - 
    15308304*z2^4 - 41664000*li5half*z3 + 347200*ln2^5*z3 - 
    39984000*li4half*sinf*z3 - 1666000*ln2^4*sinf*z3 - 10528000*ln2^3*z2*z3 + 
    24108000*ln2^2*sinf*z2*z3 - 20290200*ln2*z2^2*z3 + 6048000*sinf*z2^2*z3 - 
    13755000*ln2^2*z3^2 - 43680000*ln2*sinf*z3^2 - 38472000*z2*z3^2 - 
    9114000*ln2^3*z5 - 50127000*ln2^2*sinf*z5 - 51282000*ln2*z2*z5 - 
    17598000*sinf*z2*z5 + 148105125*z3*z5 - 2871750*sinf*z7)/9408000, 
 H[1, 0, 0, 0, 1, 1, -1, 0, 1] -> (537600*ln2^2*s6 - 2220225*s8a - 
    1948800*s8b - 1075200*s8c + 1075200*s8d - 3494400*ln2*s6*sinf + 
    3494400*s7a*sinf - 268800*s7b*sinf + 436800*s6*z2 - 584640*li4half*z2^2 - 
    24360*ln2^4*z2^2 + 1155840*ln2^2*z2^3 + 97440*ln2*sinf*z2^3 + 
    824568*z2^4 - 2150400*li5half*z3 + 17920*ln2^5*z3 + 
    2822400*li4half*sinf*z3 + 117600*ln2^4*sinf*z3 - 179200*ln2^3*z2*z3 - 
    705600*ln2^2*sinf*z2*z3 - 1115520*ln2*z2^2*z3 - 881160*sinf*z2^2*z3 + 
    151200*ln2^2*z3^2 + 4368000*ln2*sinf*z3^2 + 255150*z2*z3^2 + 
    3645600*ln2^2*sinf*z5 - 875700*ln2*z2*z5 - 459900*sinf*z2*z5 - 
    59850*z3*z5 + 1992375*sinf*z7)/940800, H[1, 0, 0, 0, 1, 1, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    15120000*ln2^2*s6 - 38304000*ln2*s7a + 32256000*ln2*s7b - 68703075*s8a - 
    527184000*s8b - 24192000*s8c - 88704000*s8d - 21168000*ln2*s6*sinf - 
    14112000*s7a*sinf + 14112000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 + 251496000*s6*z2 + 28224000*li5half*sinf*z2 - 
    235200*ln2^5*sinf*z2 - 46670400*li4half*z2^2 - 180600*ln2^4*z2^2 + 
    5880000*ln2^3*sinf*z2^2 - 4888800*ln2^2*z2^3 + 15019200*ln2*sinf*z2^3 + 
    16075368*z2^4 + 142128000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    873600*ln2^5*z3 + 17640000*li4half*sinf*z3 + 735000*ln2^4*sinf*z3 + 
    6552000*ln2^3*z2*z3 - 14994000*ln2^2*sinf*z2*z3 + 34776000*ln2*z2^2*z3 - 
    11113200*sinf*z2^2*z3 - 14269500*ln2^2*z3^2 + 12568500*ln2*sinf*z3^2 + 
    31263750*z2*z3^2 - 54684000*ln2^3*z5 - 6835500*ln2^2*sinf*z5 - 
    44887500*ln2*z2*z5 - 76072500*sinf*z2*z5 - 125047125*z3*z5 + 
    248936625*ln2*z7 + 70560000*sinf*z7)/14112000, 
 H[1, 0, 0, 0, 1, 0, 1, 1, 1] -> 
  (-4200*s8a + 23878*z2^4 + 19600*sinf*z2^2*z3 + 42000*z2*z3^2 + 
    77000*sinf*z2*z5 - 217000*z3*z5 - 193375*sinf*z7)/14000, 
 H[1, 0, 0, 0, 1, 0, 1, 0, 1] -> (5775*s8a - 5686*z2^4 - 8400*sinf*z2^2*z3 - 
    7875*z2*z3^2 + 44625*z3*z5 + 26250*sinf*z7)/2625, 
 H[1, 0, 0, 0, 1, 0, 1, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    9676800*ln2^2*s6 - 7257600*ln2*s7a + 15321600*ln2*s7b - 21749175*s8a - 
    140716800*s8b - 16128000*s8c - 17740800*s8d - 4032000*ln2*s6*sinf - 
    7257600*s7a*sinf + 15321600*s7b*sinf - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 + 58060800*s6*z2 - 15966720*li4half*z2^2 + 
    40320*ln2^4*z2^2 + 302400*ln2^2*z2^3 + 4788000*ln2*sinf*z2^3 + 
    1882548*z2^4 + 35481600*li5half*z3 + 19756800*li4half*ln2*z3 + 
    527520*ln2^5*z3 + 8467200*li4half*sinf*z3 + 352800*ln2^4*sinf*z3 - 
    1982400*ln2^3*z2*z3 - 2116800*ln2^2*sinf*z2*z3 + 7086240*ln2*z2^2*z3 - 
    11143440*sinf*z2^2*z3 - 2217600*ln2^2*z3^2 + 100800*ln2*sinf*z3^2 + 
    11743200*z2*z3^2 - 21873600*ln2^3*z5 - 21873600*ln2^2*sinf*z5 - 
    10029600*ln2*z2*z5 - 47520900*sinf*z2*z5 - 23653350*z3*z5 + 
    95137875*ln2*z7 + 89316675*sinf*z7)/2822400, 
 H[1, 0, 0, 0, 1, 0, 0, 1, 1] -> (-525*s8a - 22*z2^4 - 210*z2*z3^2 - 
    2100*sinf*z2*z5 + 945*z3*z5 + 3570*sinf*z7)/210, 
 H[1, 0, 0, 0, 1, 0, 0, 0, 1] -> (2*(213*z2^4 - 350*z3*z5 - 1750*sinf*z7))/
   175, H[1, 0, 0, 0, 1, 0, 0, -1, 1] -> 
  (14175*s8a + 384000*s8b + 83788*z2^4 + 27000*sinf*z2^2*z3 + 30000*z2*z3^2 + 
    39000*sinf*z2*z5 - 445875*z3*z5 - 762000*ln2*z7 - 149250*sinf*z7)/48000, 
 H[1, 0, 0, 0, 1, 0, -1, 1, 1] -> (-10080000*ln2^2*s6 - 1038450*s8a + 
    74760000*s8b + 1344000*s8c + 17472000*s8d - 17472000*ln2*s6*sinf + 
    17472000*s7a*sinf - 1344000*s7b*sinf - 34944000*s6*z2 - 
    5913600*li4half*z2^2 - 246400*ln2^4*z2^2 + 5208000*ln2^2*z2^3 - 
    3746400*ln2*sinf*z2^3 + 2558988*z2^4 - 34944000*li5half*z3 + 
    291200*ln2^5*z3 + 18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 - 
    2912000*ln2^3*z2*z3 - 4704000*ln2^2*sinf*z2*z3 - 22537200*ln2*z2^2*z3 - 
    6316800*sinf*z2^2*z3 + 10542000*ln2^2*z3^2 + 21840000*ln2*sinf*z3^2 - 
    5712000*z2*z3^2 + 12152000*ln2^3*z5 + 36456000*ln2^2*sinf*z5 - 
    19320000*ln2*z2*z5 - 16779000*sinf*z2*z5 + 37532250*z3*z5 + 
    42889875*sinf*z7)/4704000, H[1, 0, 0, 0, 1, 0, -1, 0, 1] -> 
  (18900*s8a - 201600*s6*z2 - 19777*z2^4 + 32760*sinf*z2^2*z3 + 
    95550*z2*z3^2 + 390600*ln2*z2*z5 + 130200*sinf*z2*z5 - 177450*z3*z5 - 
    336000*sinf*z7)/33600, H[1, 0, 0, 0, 1, 0, -1, -1, 1] -> 
  (-14784000*ln2^2*s6 + 29568000*ln2*s7a - 8064000*ln2*s7b + 22901025*s8a + 
    175728000*s8b + 8064000*s8c + 29568000*s8d + 6720000*ln2*s6*sinf + 
    12096000*s7a*sinf - 6720000*s7b*sinf - 87360000*s6*z2 + 
    5913600*li4half*z2^2 + 246400*ln2^4*z2^2 + 4435200*ln2^2*z2^3 - 
    1176000*ln2*sinf*z2^3 - 2245416*z2^4 - 59136000*li5half*z3 + 
    492800*ln2^5*z3 - 4928000*ln2^3*z2*z3 - 24242400*ln2*z2^2*z3 + 
    3196200*sinf*z2^2*z3 + 18480000*ln2^2*z3^2 + 1890000*ln2*sinf*z3^2 - 
    5901000*z2*z3^2 + 24304000*ln2^3*z5 + 18900000*ln2*z2*z5 + 
    30177000*sinf*z2*z5 + 38815875*z3*z5 - 68339250*ln2*z7 - 
    45887625*sinf*z7)/4704000, H[1, 0, 0, 0, 1, -1, 1, 1, 1] -> 
  (23184000*ln2^2*s6 - 65721075*s8a - 304248000*s8b - 46368000*s8c - 
    14784000*s8d - 22176000*ln2*s6*sinf + 22176000*s7a*sinf - 
    24864000*s7b*sinf + 60144000*s6*z2 + 18816000*li5half*sinf*z2 - 
    156800*ln2^5*sinf*z2 - 17068800*li4half*z2^2 - 711200*ln2^4*z2^2 + 
    5096000*ln2^3*sinf*z2^2 - 369600*ln2^2*z2^3 + 3309600*ln2*sinf*z2^3 + 
    9592008*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 + 
    28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 + 6384000*ln2^3*z2*z3 - 
    1764000*ln2^2*sinf*z2*z3 + 44767800*ln2*z2^2*z3 + 11440800*sinf*z2^2*z3 + 
    6520500*ln2^2*z3^2 + 27720000*ln2*sinf*z3^2 + 69688500*z2*z3^2 - 
    3038000*ln2^3*z5 + 45570000*ln2^2*sinf*z5 + 148218000*ln2*z2*z5 + 
    97881000*sinf*z2*z5 - 133452375*z3*z5 - 237439125*sinf*z7)/9408000, 
 H[1, 0, 0, 0, 1, -1, 1, 0, 1] -> (-5376000*ln2^2*s6 + 19743675*s8a + 
    61824000*s8b + 10752000*s8c - 10752000*s8d + 12096000*ln2*s6*sinf - 
    12096000*s7a*sinf + 25536000*s7b*sinf + 9744000*s6*z2 - 
    2150400*li4half*z2^2 - 89600*ln2^4*z2^2 - 9559200*ln2^2*z2^3 - 
    1260000*ln2*sinf*z2^3 + 1239768*z2^4 + 21504000*li5half*z3 - 
    179200*ln2^5*z3 + 1792000*ln2^3*z2*z3 - 10453800*ln2*z2^2*z3 - 
    19013400*sinf*z2^2*z3 - 1512000*ln2^2*z3^2 - 15120000*ln2*sinf*z3^2 - 
    12400500*z2*z3^2 - 36456000*ln2^2*sinf*z5 - 36813000*ln2*z2*z5 - 
    76188000*sinf*z2*z5 + 2160375*z3*z5 + 181274625*sinf*z7)/4704000, 
 H[1, 0, 0, 0, 1, -1, 1, -1, 1] -> (-49056000*ln2^2*s6 + 22176000*ln2*s7a - 
    15456000*ln2*s7b + 112455525*s8a + 534912000*s8b + 77280000*s8c + 
    49728000*s8d + 23520000*ln2*s6*sinf - 174720000*s6*z2 + 
    9945600*li4half*z2^2 + 414400*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 + 
    13305600*ln2^2*z2^3 - 4720800*ln2*sinf*z2^3 - 5784516*z2^4 - 
    99456000*li5half*z3 + 828800*ln2^5*z3 - 17696000*ln2^3*z2*z3 - 
    10584000*ln2^2*sinf*z2*z3 - 97687800*ln2*z2^2*z3 - 8702400*sinf*z2^2*z3 + 
    21189000*ln2^2*z3^2 + 8673000*ln2*sinf*z3^2 - 89124000*z2*z3^2 + 
    39494000*ln2^3*z5 - 194376000*ln2*z2*z5 - 8820000*sinf*z2*z5 + 
    217667625*z3*z5 - 12896625*ln2*z7 + 47040000*sinf*z7)/9408000, 
 H[1, 0, 0, 0, 1, -1, 0, 1, 1] -> 
  (-109200*s8a + 2100000*s8b + 384000*ln2*s6*sinf - 384000*s7a*sinf - 
    384000*s7b*sinf - 504000*s6*z2 + 672000*li4half*z2^2 + 28000*ln2^4*z2^2 - 
    168000*ln2^2*z2^3 - 247200*ln2*sinf*z2^3 - 391882*z2^4 - 
    1344000*li4half*sinf*z3 - 56000*ln2^4*sinf*z3 + 336000*ln2^2*sinf*z2*z3 + 
    126000*ln2*z2^2*z3 + 330900*sinf*z2^2*z3 - 480000*ln2*sinf*z3^2 - 
    813750*z2*z3^2 - 651000*ln2*z2*z5 - 1339500*sinf*z2*z5 + 2827125*z3*z5 + 
    2730750*sinf*z7)/336000, H[1, 0, 0, 0, 1, -1, 0, 0, 1] -> 
  (-321300*s8a - 2940000*s8b + 672000*s6*z2 + 756000*ln2*sinf*z2^3 + 
    81752*z2^4 + 378000*ln2*z2^2*z3 + 182700*sinf*z2^2*z3 - 31500*z2*z3^2 + 
    569625*z3*z5 - 2837625*sinf*z7)/168000, H[1, 0, 0, 0, 1, -1, 0, -1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 + 2937600*ln2^2*s6 - 
    2534400*ln2*s7a + 3916800*ln2*s7b - 6931575*s8a - 38908800*s8b - 
    4032000*s8c - 5644800*s8d - 1152000*ln2*s6*sinf - 2073600*s7a*sinf + 
    4377600*s7b*sinf - 806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 + 
    17438400*s6*z2 - 2903040*li4half*z2^2 - 20160*ln2^4*z2^2 - 
    423360*ln2^2*z2^3 + 1635840*ln2*sinf*z2^3 + 1628148*z2^4 + 
    11289600*li5half*z3 + 2822400*li4half*ln2*z3 + 23520*ln2^5*z3 + 
    1209600*li4half*sinf*z3 + 50400*ln2^4*sinf*z3 + 235200*ln2^3*z2*z3 - 
    302400*ln2^2*sinf*z2*z3 + 4402800*ln2*z2^2*z3 - 1573560*sinf*z2^2*z3 - 
    2260800*ln2^2*z3^2 - 1911600*ln2*sinf*z3^2 + 4728150*z2*z3^2 - 
    6249600*ln2^3*z5 - 6249600*ln2^2*sinf*z5 - 1800*ln2*z2*z5 - 
    12588300*sinf*z2*z5 - 17577000*z3*z5 + 15109200*ln2*z7 + 
    20233350*sinf*z7)/403200, H[1, 0, 0, 0, 1, -1, -1, 1, 1] -> 
  (7056000*li4half^2 + 588000*li4half*ln2^4 + 12250*ln2^8 - 
    3444000*ln2^2*s6 + 138075*s8a + 22848000*s8b + 1008000*s8c + 
    2520000*s8d - 2352000*ln2*s6*sinf + 2352000*s7a*sinf - 2352000*s7b*sinf - 
    3528000*li4half*ln2^2*z2 - 147000*ln2^6*z2 - 3864000*s6*z2 + 
    9408000*li5half*sinf*z2 + 7056000*li4half*ln2*sinf*z2 + 
    215600*ln2^5*sinf*z2 - 2906400*li4half*z2^2 + 319900*ln2^4*z2^2 - 
    980000*ln2^3*sinf*z2^2 + 1373400*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 + 
    577152*z2^4 - 23856000*li5half*z3 + 198800*ln2^5*z3 - 
    2940000*li4half*sinf*z3 - 122500*ln2^4*sinf*z3 - 1988000*ln2^3*z2*z3 + 
    2058000*ln2^2*sinf*z2*z3 - 10611300*ln2*z2^2*z3 + 205800*sinf*z2^2*z3 + 
    4176375*ln2^2*z3^2 + 2940000*ln2*sinf*z3^2 - 5845875*z2*z3^2 + 
    4557000*ln2^3*z5 + 10253250*ln2^2*sinf*z5 - 14416500*ln2*z2*z5 - 
    12458250*sinf*z2*z5 + 35251125*z3*z5 + 11760000*sinf*z7)/2352000, 
 H[1, 0, 0, 0, 1, -1, -1, 0, 1] -> (2688000*ln2^2*s6 - 6963075*s8a - 
    33264000*s8b - 5376000*s8c + 5376000*s8d - 12096000*ln2*s6*sinf + 
    12096000*s7a*sinf - 6720000*s7b*sinf - 21336000*s6*z2 - 
    2923200*li4half*z2^2 - 121800*ln2^4*z2^2 + 5779200*ln2^2*z2^3 + 
    2318400*ln2*sinf*z2^3 - 1929612*z2^4 - 10752000*li5half*z3 + 
    89600*ln2^5*z3 + 14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 - 
    896000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 + 1478400*ln2*z2^2*z3 + 
    4460400*sinf*z2^2*z3 + 756000*ln2^2*z3^2 + 15120000*ln2*sinf*z3^2 + 
    17078250*z2*z3^2 + 18228000*ln2^2*sinf*z5 + 54862500*ln2*z2*z5 + 
    31720500*sinf*z2*z5 - 17939250*z3*z5 - 78301125*sinf*z7)/4704000, 
 H[1, 0, 0, 0, 1, -1, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    5712000*ln2^2*s6 + 9408000*ln2*s7a + 23520000*ln2*s7b - 34567575*s8a - 
    158592000*s8b - 25536000*s8c - 14448000*s8d - 7056000*ln2*s6*sinf + 
    18816000*s7b*sinf - 7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 
    52416000*s6*z2 + 4704000*li5half*sinf*z2 - 39200*ln2^5*sinf*z2 - 
    17707200*li4half*z2^2 + 144200*ln2^4*z2^2 + 980000*ln2^3*sinf*z2^2 + 
    1839600*ln2^2*z2^3 + 9408000*ln2*sinf*z2^3 + 6211908*z2^4 + 
    23016000*li5half*z3 + 24696000*li4half*ln2*z3 + 837200*ln2^5*z3 + 
    9408000*li4half*sinf*z3 + 392000*ln2^4*sinf*z3 - 3080000*ln2^3*z2*z3 - 
    2352000*ln2^2*sinf*z2*z3 + 7198800*ln2*z2^2*z3 - 7408800*sinf*z2^2*z3 + 
    3921750*ln2^2*z3^2 - 5586000*ln2*sinf*z3^2 + 31206000*z2*z3^2 - 
    22785000*ln2^3*z5 - 29620500*ln2^2*sinf*z5 + 18469500*ln2*z2*z5 - 
    51450000*sinf*z2*z5 - 71641500*z3*z5 + 98526750*ln2*z7 + 
    79453500*sinf*z7)/4704000, H[1, 0, 0, 0, 0, 1, 1, 1, 1] -> 
  (2100*s8a - 4589*z2^4 - 3500*sinf*z2^2*z3 - 7000*z2*z3^2 - 
    14000*sinf*z2*z5 + 38500*z3*z5 + 35000*sinf*z7)/7000, 
 H[1, 0, 0, 0, 0, 1, 1, 0, 1] -> (-70*s8a + 60*z2^4 + 84*sinf*z2^2*z3 + 
    35*z2*z3^2 - 350*z3*z5 - 280*sinf*z7)/70, 
 H[1, 0, 0, 0, 0, 1, 1, -1, 1] -> (-576000*li4half^2 - 48000*li4half*ln2^4 - 
    1000*ln2^8 + 144000*ln2^2*s6 - 288000*ln2*s7b - 71100*s8a + 720000*s8b + 
    288000*ln2*s6*sinf - 288000*s7b*sinf + 288000*li4half*ln2^2*z2 + 
    12000*ln2^6*z2 - 144000*s6*z2 + 633600*li4half*z2^2 - 9600*ln2^4*z2^2 - 
    345600*ln2^2*z2^3 - 115200*ln2*sinf*z2^3 + 10224*z2^4 - 
    1008000*li4half*ln2*z3 - 42000*ln2^5*z3 - 432000*li4half*sinf*z3 - 
    18000*ln2^4*sinf*z3 + 252000*ln2^3*z2*z3 + 108000*ln2^2*sinf*z2*z3 + 
    597600*ln2*z2^2*z3 + 369000*sinf*z2^2*z3 - 180000*ln2^2*z3^2 - 
    360000*ln2*sinf*z3^2 + 162000*z2*z3^2 + 279000*ln2^3*z5 + 
    279000*ln2^2*sinf*z5 + 855000*ln2*z2*z5 + 985500*sinf*z2*z5 - 
    1193625*z3*z5 - 2004750*ln2*z7 - 2016000*sinf*z7)/288000, 
 H[1, 0, 0, 0, 0, 1, 0, 1, 1] -> (-525*s8a + 2066*z2^4 + 1400*sinf*z2^2*z3 + 
    4375*z2*z3^2 + 8750*sinf*z2*z5 - 20125*z3*z5 - 19250*sinf*z7)/1750, 
 H[1, 0, 0, 0, 0, 1, 0, 0, 1] -> (175*s8a - 484*z2^4 + 1050*z3*z5 + 
    2625*sinf*z7)/175, H[1, 0, 0, 0, 0, 1, 0, -1, 1] -> 
  (3950*s8a - 40000*s8b - 14648*z2^4 - 8400*sinf*z2^2*z3 - 8000*z2*z3^2 - 
    22000*sinf*z2*z5 + 84750*z3*z5 + 79375*ln2*z7 + 64875*sinf*z7)/16000, 
 H[1, 0, 0, 0, 0, 1, -1, 1, 1] -> (-336000*ln2^2*s6 + 492975*s8a + 
    1344000*s8b + 672000*s8c + 672000*s8d - 672000*s7b*sinf - 2016000*s6*z2 + 
    134400*li4half*z2^2 + 5600*ln2^4*z2^2 + 856800*ln2^2*z2^3 + 
    302400*ln2*sinf*z2^3 + 135516*z2^4 - 1344000*li5half*z3 + 
    11200*ln2^5*z3 - 112000*ln2^3*z2*z3 + 247800*ln2*z2^2*z3 + 
    739200*sinf*z2^2*z3 - 609000*ln2^2*z3^2 + 420000*z2*z3^2 - 
    434000*ln2^3*z5 - 714000*ln2*z2*z5 + 3990000*sinf*z2*z5 - 1619625*z3*z5 - 
    9371250*sinf*z7)/672000, H[1, 0, 0, 0, 0, 1, -1, 0, 1] -> 
  (180425*s8a + 1176000*s8b - 252000*ln2*sinf*z2^3 - 40842*z2^4 - 
    252000*ln2*z2^2*z3 - 88200*sinf*z2^2*z3 - 117250*z2*z3^2 - 
    325500*ln2*z2*z5 - 108500*sinf*z2*z5 + 152250*z3*z5 + 1225875*sinf*z7)/
   112000, H[1, 0, 0, 0, 0, 1, -1, -1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 - 201600*ln2^2*s6 - 
    1209600*ln2*s7b + 1543500*s8a + 7257600*s8b + 806400*s8c + 806400*s8d + 
    403200*ln2*s6*sinf - 806400*s7b*sinf + 403200*li4half*ln2^2*z2 + 
    16800*ln2^6*z2 - 2620800*s6*z2 + 1048320*li4half*z2^2 - 6720*ln2^4*z2^2 - 
    362880*ln2^2*z2^3 - 433440*ln2*sinf*z2^3 - 518292*z2^4 - 
    1612800*li5half*z3 - 1411200*li4half*ln2*z3 - 45360*ln2^5*z3 - 
    604800*li4half*sinf*z3 - 25200*ln2^4*sinf*z3 + 218400*ln2^3*z2*z3 + 
    151200*ln2^2*sinf*z2*z3 - 357840*ln2*z2^2*z3 + 229320*sinf*z2^2*z3 + 
    252000*ln2^2*z3^2 + 113400*ln2*sinf*z3^2 - 1304100*z2*z3^2 + 
    1432200*ln2^3*z5 + 1171800*ln2^2*sinf*z5 + 781200*ln2*z2*z5 + 
    1820700*sinf*z2*z5 + 4298175*z3*z5 - 5219550*ln2*z7 - 2397150*sinf*z7)/
   403200, H[1, 0, 0, 0, 0, 0, 1, 1, 1] -> 
  (350*s8a - 514*z2^4 - 350*sinf*z2^2*z3 - 875*z2*z3^2 - 875*sinf*z2*z5 + 
    4375*z3*z5 + 2625*sinf*z7)/875, H[1, 0, 0, 0, 0, 0, 1, 0, 1] -> 
  (-2*(175*s8a - 647*z2^4 + 1750*z3*z5 + 2625*sinf*z7))/875, 
 H[1, 0, 0, 0, 0, 0, 1, -1, 1] -> 
  (-1450*s8a - 8000*s8b + 1440*ln2*sinf*z2^3 + 808*z2^4 + 2400*ln2*z2^2*z3 + 
    840*sinf*z2^2*z3 + 1200*z2*z3^2 + 4800*ln2*z2*z5 + 1500*sinf*z2*z5 - 
    4825*z3*z5 - 6350*ln2*z7 - 9600*sinf*z7)/3200, 
 H[1, 0, 0, 0, 0, 0, 0, 1, 1] -> (-54*z2^4 + 175*z3*z5 + 175*sinf*z7)/175, 
 H[1, 0, 0, 0, 0, 0, 0, 0, 1] -> (-24*z2^4)/175, 
 H[1, 0, 0, 0, 0, 0, 0, -1, 1] -> (-11200*s8b - 5328*z2^4 + 18900*z3*z5 + 
    22225*ln2*z7 + 11025*sinf*z7)/11200, H[1, 0, 0, 0, 0, 0, -1, 1, 1] -> 
  (50400*s8a + 392000*s8b - 50400*ln2*sinf*z2^3 - 27676*z2^4 - 
    84000*ln2*z2^2*z3 - 33600*sinf*z2^2*z3 - 84000*z2*z3^2 - 
    168000*ln2*z2*z5 - 105000*sinf*z2*z5 + 276500*z3*z5 + 441875*sinf*z7)/
   112000, H[1, 0, 0, 0, 0, 0, -1, 0, 1] -> 
  (-12600*s8a + 39919*z2^4 - 105000*z3*z5 - 165375*sinf*z7)/28000, 
 H[1, 0, 0, 0, 0, 0, -1, -1, 1] -> 
  (-50400*s8a + 41116*z2^4 + 39200*sinf*z2^2*z3 + 56000*z2*z3^2 + 
    56000*sinf*z2*z5 - 308000*z3*z5 - 219625*sinf*z7)/112000, 
 H[1, 0, 0, 0, 0, -1, 1, 1, 1] -> (-67200*s8d + 67200*ln2*s6*sinf - 
    67200*s7a*sinf + 168000*s6*z2 + 53760*li4half*z2^2 + 2240*ln2^4*z2^2 - 
    58800*ln2^2*z2^3 - 26880*ln2*sinf*z2^3 - 37056*z2^4 + 134400*li5half*z3 - 
    1120*ln2^5*z3 - 134400*li4half*sinf*z3 - 5600*ln2^4*sinf*z3 + 
    11200*ln2^3*z2*z3 + 33600*ln2^2*sinf*z2*z3 + 6720*ln2*z2^2*z3 + 
    1680*sinf*z2^2*z3 - 84000*ln2*sinf*z3^2 - 92400*z2*z3^2 + 
    21700*ln2^3*z5 - 65100*ln2^2*sinf*z5 - 65100*ln2*z2*z5 - 
    193200*sinf*z2*z5 + 239925*z3*z5 + 463050*sinf*z7)/67200, 
 H[1, 0, 0, 0, 0, -1, 1, 0, 1] -> (-86800*s8a - 588000*s8b + 56000*s6*z2 + 
    126000*ln2*sinf*z2^3 + 32002*z2^4 + 126000*ln2*z2^2*z3 + 
    50400*sinf*z2^2*z3 + 54250*ln2*z2*z5 + 8750*z3*z5 - 553875*sinf*z7)/
   56000, H[1, 0, 0, 0, 0, -1, 1, -1, 1] -> 
  (-67200*ln2*s7a + 67200*s8c - 67200*ln2*s6*sinf + 75600*ln2^2*z2^3 + 
    42000*ln2*sinf*z2^3 + 40248*z2^4 + 75180*ln2*z2^2*z3 + 
    47460*sinf*z2^2*z3 - 102900*ln2^2*z3^2 - 18900*ln2*sinf*z3^2 - 
    16800*z2*z3^2 - 86800*ln2^3*z5 - 138600*ln2*z2*z5 + 67200*sinf*z2*z5 - 
    158550*z3*z5 - 334425*ln2*z7 - 330750*sinf*z7)/67200, 
 H[1, 0, 0, 0, 0, -1, 0, 1, 1] -> (42525*s8a - 112000*s6*z2 + 66944*z2^4 + 
    67200*sinf*z2^2*z3 + 252000*z2*z3^2 + 217000*ln2*z2*z5 + 
    525000*sinf*z2*z5 - 973000*z3*z5 - 1101625*sinf*z7)/112000, 
 H[1, 0, 0, 0, 0, -1, 0, 0, 1] -> (36225*s8a - 146284*z2^4 + 315000*z3*z5 + 
    826875*sinf*z7)/56000, H[1, 0, 0, 0, 0, -1, 0, -1, 1] -> 
  (64575*s8a - 392000*s8b - 56000*s6*z2 - 157868*z2^4 - 78400*sinf*z2^2*z3 - 
    70000*z2*z3^2 + 108500*ln2*z2*z5 - 171500*sinf*z2*z5 + 850500*z3*z5 + 
    777875*ln2*z7 + 546000*sinf*z7)/112000, H[1, 0, 0, 0, 0, -1, -1, 1, 1] -> 
  (336000*ln2^2*s6 - 400050*s8a - 3528000*s8b - 1008000*s8d + 
    672000*ln2*s6*sinf - 672000*s7a*sinf + 2184000*s6*z2 + 
    134400*li4half*z2^2 + 5600*ln2^4*z2^2 - 394800*ln2^2*z2^3 + 
    33600*ln2*sinf*z2^3 + 271692*z2^4 + 2016000*li5half*z3 - 16800*ln2^5*z3 - 
    672000*li4half*sinf*z3 - 28000*ln2^4*sinf*z3 + 168000*ln2^3*z2*z3 + 
    168000*ln2^2*sinf*z2*z3 + 856800*ln2*z2^2*z3 + 420000*sinf*z2^2*z3 - 
    420000*ln2^2*z3^2 - 840000*ln2*sinf*z3^2 + 630000*z2*z3^2 - 
    325500*ln2^3*z5 - 976500*ln2^2*sinf*z5 + 651000*ln2*z2*z5 + 
    609000*sinf*z2*z5 - 4202625*z3*z5 - 1997625*sinf*z7)/336000, 
 H[1, 0, 0, 0, 0, -1, -1, 0, 1] -> (72450*s8a + 224000*s6*z2 - 41528*z2^4 - 
    117600*sinf*z2^2*z3 - 224000*z2*z3^2 - 434000*ln2*z2*z5 - 
    108500*sinf*z2*z5 + 742000*z3*z5 + 552125*sinf*z7)/112000, 
 H[1, 0, 0, 0, 0, -1, -1, -1, 1] -> 
  (168000*ln2^2*s6 - 336000*ln2*s7a - 111300*s8a - 1568000*s8b - 336000*s8d - 
    112000*s7a*sinf + 896000*s6*z2 - 67200*li4half*z2^2 - 2800*ln2^4*z2^2 - 
    50400*ln2^2*z2^3 + 11352*z2^4 + 672000*li5half*z3 - 5600*ln2^5*z3 + 
    56000*ln2^3*z2*z3 + 252000*ln2*z2^2*z3 - 39200*sinf*z2^2*z3 - 
    210000*ln2^2*z3^2 - 42000*z2*z3^2 - 217000*ln2^3*z5 - 119000*ln2*z2*z5 - 
    115500*sinf*z2*z5 - 200375*z3*z5 + 105875*ln2*z7 + 216125*sinf*z7)/
   112000, H[1, 0, 0, 0, -1, 1, 1, 1, 1] -> 
  (-2688000*ln2^2*s6 + 11277525*s8a + 81480000*s8b + 5376000*s8c + 
    6384000*s8d + 11760000*ln2*s6*sinf - 11760000*s7a*sinf - 18648000*s6*z2 - 
    9408000*li5half*sinf*z2 + 78400*ln2^5*sinf*z2 + 19622400*li4half*z2^2 + 
    817600*ln2^4*z2^2 - 1372000*ln2^3*sinf*z2^2 - 4662000*ln2^2*z2^3 - 
    5174400*ln2*sinf*z2^3 - 8353836*z2^4 + 6048000*li5half*z3 - 
    50400*ln2^5*z3 - 23520000*li4half*sinf*z3 - 980000*ln2^4*sinf*z3 - 
    672000*ln2^3*z2*z3 + 5880000*ln2^2*sinf*z2*z3 - 5241600*ln2*z2^2*z3 + 
    4998000*sinf*z2^2*z3 - 756000*ln2^2*z3^2 - 14700000*ln2*sinf*z3^2 - 
    10500000*z2*z3^2 - 11392500*ln2^2*sinf*z5 - 16128000*ln2*z2*z5 - 
    9187500*sinf*z2*z5 + 18619125*z3*z5 + 34636875*sinf*z7)/4704000, 
 H[1, 0, 0, 0, -1, 1, 1, 0, 1] -> (2688000*ln2^2*s6 - 17098725*s8a - 
    52080000*s8b - 5376000*s8c + 5376000*s8d - 13440000*ln2*s6*sinf + 
    13440000*s7a*sinf - 5376000*s7b*sinf + 1008000*s6*z2 - 
    5510400*li4half*z2^2 - 229600*ln2^4*z2^2 + 6426000*ln2^2*z2^3 + 
    4065600*ln2*sinf*z2^3 + 5130084*z2^4 - 10752000*li5half*z3 + 
    89600*ln2^5*z3 + 18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 - 
    896000*ln2^3*z2*z3 - 4704000*ln2^2*sinf*z2*z3 + 6770400*ln2*z2^2*z3 + 
    5632200*sinf*z2^2*z3 + 756000*ln2^2*z3^2 + 16800000*ln2*sinf*z3^2 + 
    4914000*z2*z3^2 + 18228000*ln2^2*sinf*z5 + 16128000*ln2*z2*z5 + 
    16380000*sinf*z2*z5 - 12812625*z3*z5 - 64173375*sinf*z7)/4704000, 
 H[1, 0, 0, 0, -1, 1, 1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    14112000*ln2^2*s6 - 6384000*ln2*s7a + 12432000*ln2*s7b - 33370575*s8a - 
    145320000*s8b - 22512000*s8c - 12768000*s8d - 7728000*ln2*s6*sinf + 
    672000*s7a*sinf + 3024000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 + 46704000*s6*z2 - 9408000*li5half*sinf*z2 - 
    14112000*li4half*ln2*sinf*z2 - 509600*ln2^5*sinf*z2 + 
    7560000*li4half*z2^2 - 567000*ln2^4*z2^2 + 2744000*ln2^3*sinf*z2^2 - 
    3502800*ln2^2*z2^3 + 4107600*ln2*sinf*z2^3 + 1556718*z2^4 + 
    37296000*li5half*z3 - 310800*ln2^5*z3 + 2352000*li4half*sinf*z3 + 
    98000*ln2^4*sinf*z3 + 3108000*ln2^3*z2*z3 - 3234000*ln2^2*sinf*z2*z3 + 
    35030100*ln2*z2^2*z3 + 2144100*sinf*z2^2*z3 - 7607250*ln2^2*z3^2 - 
    4746000*ln2*sinf*z3^2 + 26034750*z2*z3^2 - 18228000*ln2^3*z5 - 
    2278500*ln2^2*sinf*z5 + 30429000*ln2*z2*z5 + 4861500*sinf*z2*z5 - 
    82495875*z3*z5 + 26431125*ln2*z7 - 3759000*sinf*z7)/4704000, 
 H[1, 0, 0, 0, -1, 1, 0, 1, 1] -> 
  (345975*s8a - 2100000*s8b - 384000*ln2*s6*sinf + 384000*s7a*sinf + 
    384000*s7b*sinf + 840000*s6*z2 - 672000*li4half*z2^2 - 28000*ln2^4*z2^2 + 
    168000*ln2^2*z2^3 + 247200*ln2*sinf*z2^3 + 199286*z2^4 + 
    1344000*li4half*sinf*z3 + 56000*ln2^4*sinf*z3 - 336000*ln2^2*sinf*z2*z3 - 
    126000*ln2*z2^2*z3 - 585000*sinf*z2^2*z3 + 480000*ln2*sinf*z3^2 + 
    504000*z2*z3^2 + 1287000*sinf*z2*z5 - 1131375*z3*z5 - 1817250*sinf*z7)/
   336000, H[1, 0, 0, 0, -1, 1, 0, 0, 1] -> 
  (151725*s8a + 1176000*s8b - 268800*s6*z2 - 302400*ln2*sinf*z2^3 - 
    61294*z2^4 - 151200*ln2*z2^2*z3 - 78120*sinf*z2^2*z3 + 25200*z2*z3^2 - 
    152775*z3*z5 + 1198575*sinf*z7)/67200, H[1, 0, 0, 0, -1, 1, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    14688000*ln2^2*s6 + 12672000*ln2*s7a - 19584000*ln2*s7b + 35861175*s8a + 
    189504000*s8b + 20160000*s8c + 28224000*s8d + 5760000*ln2*s6*sinf + 
    10368000*s7a*sinf - 21888000*s7b*sinf + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 - 86184000*s6*z2 + 14515200*li4half*z2^2 + 
    100800*ln2^4*z2^2 + 2116800*ln2^2*z2^3 - 8179200*ln2*sinf*z2^3 - 
    10100172*z2^4 - 56448000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    117600*ln2^5*z3 - 6048000*li4half*sinf*z3 - 252000*ln2^4*sinf*z3 - 
    1176000*ln2^3*z2*z3 + 1512000*ln2^2*sinf*z2*z3 - 22014000*ln2*z2^2*z3 + 
    6557400*sinf*z2^2*z3 + 11304000*ln2^2*z3^2 + 9558000*ln2*sinf*z3^2 - 
    24948000*z2*z3^2 + 31248000*ln2^3*z5 + 31248000*ln2^2*sinf*z5 - 
    1944000*ln2*z2*z5 + 62784000*sinf*z2*z5 + 99799875*z3*z5 - 
    65544750*ln2*z7 - 96646500*sinf*z7)/2016000, 
 H[1, 0, 0, 0, -1, 1, -1, 1, 1] -> (18984000*ln2^2*s6 - 35617575*s8a - 
    206556000*s8b - 30912000*s8c - 13776000*s8d + 672000*ln2*s6*sinf - 
    672000*s7a*sinf - 12432000*s7b*sinf + 46368000*s6*z2 - 
    2755200*li4half*z2^2 - 114800*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 - 
    4989600*ln2^2*z2^3 + 184800*ln2*sinf*z2^3 - 3483882*z2^4 + 
    27552000*li5half*z3 - 229600*ln2^5*z3 + 7000000*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 + 38547600*ln2*z2^2*z3 + 7925400*sinf*z2^2*z3 - 
    3664500*ln2^2*z3^2 - 840000*ln2*sinf*z3^2 + 40750500*z2*z3^2 - 
    7595000*ln2^3*z5 + 115521000*ln2*z2*z5 + 57099000*sinf*z2*z5 - 
    75156375*z3*z5 - 117369000*sinf*z7)/4704000, 
 H[1, 0, 0, 0, -1, 1, -1, 0, 1] -> (-5376000*ln2^2*s6 + 14198100*s8a + 
    61824000*s8b + 10752000*s8c - 10752000*s8d + 12096000*ln2*s6*sinf - 
    12096000*s7a*sinf + 25536000*s7b*sinf + 25032000*s6*z2 - 
    2150400*li4half*z2^2 - 89600*ln2^4*z2^2 - 9559200*ln2^2*z2^3 - 
    1260000*ln2*sinf*z2^3 + 6098286*z2^4 + 21504000*li5half*z3 - 
    179200*ln2^5*z3 + 1792000*ln2^3*z2*z3 - 10453800*ln2*z2^2*z3 - 
    16308600*sinf*z2^2*z3 - 1512000*ln2^2*z3^2 - 15120000*ln2*sinf*z3^2 - 
    20779500*z2*z3^2 - 36456000*ln2^2*sinf*z5 - 66433500*ln2*z2*z5 - 
    87580500*sinf*z2*z5 + 2344125*z3*z5 + 191858625*sinf*z7)/4704000, 
 H[1, 0, 0, 0, -1, 1, -1, -1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 - 931200*ln2^2*s6 - 
    76800*ln2*s7a - 1420800*ln2*s7b + 3448200*s8a + 15590400*s8b + 
    2284800*s8c + 1612800*s8d + 710400*ln2*s6*sinf - 38400*s7a*sinf - 
    979200*s7b*sinf + 403200*li4half*ln2^2*z2 + 16800*ln2^6*z2 - 
    5510400*s6*z2 - 268800*li5half*sinf*z2 + 2240*ln2^5*sinf*z2 + 
    1209600*li4half*z2^2 - 123200*ln2^3*sinf*z2^2 + 62880*ln2^2*z2^3 - 
    530880*ln2*sinf*z2^3 - 648864*z2^4 - 2889600*li5half*z3 - 
    1411200*li4half*ln2*z3 - 34720*ln2^5*z3 - 604800*li4half*sinf*z3 - 
    25200*ln2^4*sinf*z3 - 89600*ln2^3*z2*z3 - 1581480*ln2*z2^2*z3 + 
    236160*sinf*z2^2*z3 + 164400*ln2^2*z3^2 + 199800*ln2*sinf*z3^2 - 
    2914800*z2*z3^2 + 1736000*ln2^3*z5 + 1562400*ln2^2*sinf*z5 - 
    3289800*ln2*z2*z5 + 2571900*sinf*z2*z5 + 7925925*z3*z5 - 4900200*ln2*z7 - 
    3264900*sinf*z7)/268800, H[1, 0, 0, 0, -1, 0, 1, 1, 1] -> 
  (272475*s8a + 68816*z2^4 + 99400*sinf*z2^2*z3 + 154000*z2*z3^2 + 
    938000*sinf*z2*z5 - 926625*z3*z5 - 1906625*sinf*z7)/224000, 
 H[1, 0, 0, 0, -1, 0, 1, 0, 1] -> 
  (-57225*s8a - 41591*z2^4 - 214200*sinf*z2^2*z3 + 333375*z3*z5 + 
    653625*sinf*z7)/168000, H[1, 0, 0, 0, -1, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    46368000*ln2^2*s6 - 36288000*ln2*s7a + 76608000*ln2*s7b - 134991675*s8a - 
    715680000*s8b - 76608000*s8c - 92736000*s8d - 20160000*ln2*s6*sinf - 
    36288000*s7a*sinf + 76608000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 298368000*s6*z2 - 80640000*li4half*z2^2 + 
    168000*ln2^4*z2^2 + 1612800*ln2^2*z2^3 + 25754400*ln2*sinf*z2^3 + 
    30279132*z2^4 + 185472000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    2570400*ln2^5*z3 + 42336000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 - 
    9240000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 + 36968400*ln2*z2^2*z3 - 
    36842400*sinf*z2^2*z3 - 14742000*ln2^2*z3^2 - 5670000*ln2*sinf*z3^2 + 
    87444000*z2*z3^2 - 109368000*ln2^3*z5 - 109368000*ln2^2*sinf*z5 - 
    37768500*ln2*z2*z5 - 233194500*sinf*z2*z5 - 277877250*z3*z5 + 
    454686750*ln2*z7 + 378779625*sinf*z7)/14112000, 
 H[1, 0, 0, 0, -1, 0, 0, 1, 1] -> 
  (-108675*s8a - 45268*z2^4 - 37800*sinf*z2^2*z3 - 126000*z2*z3^2 - 
    630000*sinf*z2*z5 + 592725*z3*z5 + 1191225*sinf*z7)/67200, 
 H[1, 0, 0, 0, -1, 0, 0, 0, 1] -> 
  (3*(4381*z2^4 - 7000*z3*z5 - 36750*sinf*z7))/5600, 
 H[1, 0, 0, 0, -1, 0, 0, -1, 1] -> (382725*s8a + 2352000*s8b + 317606*z2^4 - 
    126000*z2*z3^2 + 378000*sinf*z2*z5 - 1228500*z3*z5 - 4667250*ln2*z7 - 
    622125*sinf*z7)/336000, H[1, 0, 0, 0, -1, 0, -1, 1, 1] -> 
  (-192000*ln2^2*s6 + 170925*s8a + 1680000*s8b + 384000*s8d - 
    384000*ln2*s6*sinf + 384000*s7a*sinf - 768000*s6*z2 - 
    115200*li4half*z2^2 - 4800*ln2^4*z2^2 + 105600*ln2^2*z2^3 - 
    84000*ln2*sinf*z2^3 - 97992*z2^4 - 768000*li5half*z3 + 6400*ln2^5*z3 + 
    384000*li4half*sinf*z3 + 16000*ln2^4*sinf*z3 - 64000*ln2^3*z2*z3 - 
    96000*ln2^2*sinf*z2*z3 - 470400*ln2*z2^2*z3 - 273600*sinf*z2^2*z3 + 
    240000*ln2^2*z3^2 + 480000*ln2*sinf*z3^2 - 360000*z2*z3^2 + 
    248000*ln2^3*z5 + 744000*ln2^2*sinf*z5 - 478500*ln2*z2*z5 - 
    483000*sinf*z2*z5 + 2004000*z3*z5 + 1585125*sinf*z7)/96000, 
 H[1, 0, 0, 0, -1, 0, -1, 0, 1] -> 
  (-335475*s8a - 1008000*s6*z2 + 215624*z2^4 + 470400*sinf*z2^2*z3 + 
    966000*z2*z3^2 + 1953000*ln2*z2*z5 + 651000*sinf*z2*z5 - 3328500*z3*z5 - 
    2653875*sinf*z7)/168000, H[1, 0, 0, 0, -1, 0, -1, -1, 1] -> 
  (-16128000*ln2^2*s6 + 32256000*ln2*s7a - 5376000*ln2*s7b + 15834525*s8a + 
    176736000*s8b + 5376000*s8c + 32256000*s8d + 5376000*ln2*s6*sinf + 
    13440000*s7a*sinf - 5376000*s7b*sinf - 92736000*s6*z2 + 
    6451200*li4half*z2^2 + 268800*ln2^4*z2^2 + 4838400*ln2^2*z2^3 - 
    940800*ln2*sinf*z2^3 + 939504*z2^4 - 64512000*li5half*z3 + 
    537600*ln2^5*z3 - 5376000*ln2^3*z2*z3 - 25569600*ln2*z2^2*z3 + 
    6484800*sinf*z2^2*z3 + 20160000*ln2^2*z3^2 + 1512000*ln2*sinf*z3^2 + 
    1848000*z2*z3^2 + 24304000*ln2^3*z5 + 19068000*ln2*z2*z5 + 
    29316000*sinf*z2*z5 + 11287500*z3*z5 - 51586500*ln2*z7 - 
    54581625*sinf*z7)/4704000, H[1, 0, 0, 0, -1, -1, 1, 1, 1] -> 
  (-2688000*ln2^2*s6 + 14945175*s8a + 110880000*s8b + 5376000*s8c + 
    18144000*s8d + 16464000*ln2*s6*sinf - 16464000*s7a*sinf - 
    48048000*s6*z2 - 18816000*li5half*sinf*z2 + 156800*ln2^5*sinf*z2 + 
    19622400*li4half*z2^2 + 817600*ln2^4*z2^2 - 2744000*ln2^3*sinf*z2^2 - 
    2898000*ln2^2*z2^3 - 5762400*ln2*sinf*z2^3 - 6082812*z2^4 + 
    1344000*li5half*z3 - 11200*ln2^5*z3 - 18816000*li4half*sinf*z3 - 
    784000*ln2^4*sinf*z3 - 2240000*ln2^3*z2*z3 + 8232000*ln2^2*sinf*z2*z3 + 
    3343200*ln2*z2^2*z3 + 9261000*sinf*z2^2*z3 - 756000*ln2^2*z3^2 - 
    20580000*ln2*sinf*z3^2 - 10206000*z2*z3^2 - 15949500*ln2^2*sinf*z5 - 
    16128000*ln2*z2*z5 + 21976500*sinf*z2*z5 - 8392125*z3*z5 - 
    25743375*sinf*z7)/4704000, H[1, 0, 0, 0, -1, -1, 1, 0, 1] -> 
  (2688000*ln2^2*s6 - 4589025*s8a - 28560000*s8b - 5376000*s8c + 
    5376000*s8d - 18816000*ln2*s6*sinf + 18816000*s7a*sinf - 6048000*s6*z2 - 
    5510400*li4half*z2^2 - 229600*ln2^4*z2^2 + 6426000*ln2^2*z2^3 + 
    2234400*ln2*sinf*z2^3 - 2060484*z2^4 - 10752000*li5half*z3 + 
    89600*ln2^5*z3 + 18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 - 
    896000*ln2^3*z2*z3 - 4704000*ln2^2*sinf*z2*z3 - 285600*ln2*z2^2*z3 - 
    9202200*sinf*z2^2*z3 + 756000*ln2^2*z3^2 + 23520000*ln2*sinf*z3^2 + 
    1974000*z2*z3^2 + 18228000*ln2^2*sinf*z5 + 16128000*ln2*z2*z5 + 
    588000*sinf*z2*z5 + 27685875*z3*z5 + 12586875*sinf*z7)/4704000, 
 H[1, 0, 0, 0, -1, -1, 1, -1, 1] -> (26544000*ln2^2*s6 - 12768000*ln2*s7a + 
    24864000*ln2*s7b - 89994450*s8a - 477120000*s8b - 51072000*s8c - 
    61824000*s8d - 24864000*ln2*s6*sinf + 1344000*s7a*sinf + 
    15456000*s7b*sinf + 191856000*s6*z2 - 9408000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 1097600*ln2^5*sinf*z2 - 
    23184000*li4half*z2^2 - 966000*ln2^4*z2^2 + 9800000*ln2^3*sinf*z2^2 - 
    7492800*ln2^2*z2^3 + 11289600*ln2*sinf*z2^3 + 16063368*z2^4 + 
    135408000*li5half*z3 + 49392000*li4half*ln2*z3 + 929600*ln2^5*z3 + 
    25872000*li4half*sinf*z3 + 1078000*ln2^4*sinf*z3 + 5992000*ln2^3*z2*z3 - 
    20580000*ln2^2*sinf*z2*z3 + 47762400*ln2*z2^2*z3 - 8236200*sinf*z2^2*z3 + 
    1291500*ln2^2*z3^2 + 21819000*ln2*sinf*z3^2 + 63220500*z2*z3^2 - 
    36456000*ln2^3*z5 - 13671000*ln2^2*sinf*z5 + 79002000*ln2*z2*z5 - 
    34744500*sinf*z2*z5 - 220329375*z3*z5 + 127538250*ln2*z7 + 
    57235500*sinf*z7)/9408000, H[1, 0, 0, 0, -1, -1, 0, 1, 1] -> 
  (-218925*s8a - 169468*z2^4 - 130200*sinf*z2^2*z3 - 462000*z2*z3^2 - 
    1575000*sinf*z2*z5 + 2055375*z3*z5 + 3087000*sinf*z7)/672000, 
 H[1, 0, 0, 0, -1, -1, 0, 0, 1] -> 
  (44*z2^4 + 1344*sinf*z2^2*z3 + 480*z2*z3^2 - 1740*z3*z5 - 3765*sinf*z7)/
   1920, H[1, 0, 0, 0, -1, -1, 0, -1, 1] -> 
  (-2688000*ln2^2*s6 + 5376000*ln2*s7a + 5376000*ln2*s7b + 2371425*s8a + 
    4368000*s8b - 5376000*s8c + 5376000*s8d - 5376000*ln2*s6*sinf + 
    5376000*s7a*sinf + 5376000*s7b*sinf - 10752000*s6*z2 + 
    1075200*li4half*z2^2 + 44800*ln2^4*z2^2 + 806400*ln2^2*z2^3 + 
    940800*ln2*sinf*z2^3 - 5763932*z2^4 - 10752000*li5half*z3 + 
    89600*ln2^5*z3 - 896000*ln2^3*z2*z3 - 2654400*ln2*z2^2*z3 - 
    5896800*sinf*z2^2*z3 + 3360000*ln2^2*z3^2 - 1512000*ln2*sinf*z3^2 - 
    84000*z2*z3^2 + 336000*ln2*z2*z5 - 16747500*sinf*z2*z5 + 32812500*z3*z5 + 
    28838250*ln2*z7 + 49234500*sinf*z7)/4704000, 
 H[1, 0, 0, 0, -1, -1, -1, 1, 1] -> 
  (-72000*ln2^2*s6 + 170925*s8a + 1680000*s8b + 384000*s8d - 
    48000*ln2*s6*sinf + 48000*s7a*sinf - 888000*s6*z2 - 
    192000*li5half*sinf*z2 + 1600*ln2^5*sinf*z2 + 28800*li4half*z2^2 + 
    1200*ln2^4*z2^2 - 28000*ln2^3*sinf*z2^2 + 57600*ln2^2*z2^3 - 
    84000*ln2*sinf*z2^3 - 108792*z2^4 - 384000*li5half*z3 + 3200*ln2^5*z3 + 
    96000*li4half*sinf*z3 + 4000*ln2^4*sinf*z3 - 56000*ln2^3*z2*z3 + 
    48000*ln2^2*sinf*z2*z3 - 163200*ln2*z2^2*z3 - 89400*sinf*z2^2*z3 + 
    90000*ln2^2*z3^2 + 60000*ln2*sinf*z3^2 - 228000*z2*z3^2 + 
    93000*ln2^3*z5 + 186000*ln2^2*sinf*z5 - 279000*ln2*z2*z5 - 
    39000*sinf*z2*z5 + 1033875*z3*z5 + 616125*sinf*z7)/96000, 
 H[1, 0, 0, 0, -1, -1, -1, 0, 1] -> 
  (-158025*s8a - 504000*s6*z2 + 123636*z2^4 + 285600*sinf*z2^2*z3 + 
    518000*z2*z3^2 + 976500*ln2*z2*z5 + 325500*sinf*z2*z5 - 1848000*z3*z5 - 
    1474375*sinf*z7)/224000, H[1, 0, 0, 0, -1, -1, -1, -1, 1] -> 
  (-336000*ln2^2*s6 + 672000*ln2*s7a + 314825*s8a + 3136000*s8b + 
    672000*s8d + 336000*s7a*sinf - 1848000*s6*z2 + 134400*li4half*z2^2 + 
    5600*ln2^4*z2^2 + 100800*ln2^2*z2^3 - 101268*z2^4 - 1344000*li5half*z3 + 
    11200*ln2^5*z3 - 112000*ln2^3*z2*z3 - 504000*ln2*z2^2*z3 + 
    5600*sinf*z2^2*z3 + 420000*ln2^2*z3^2 + 42000*z2*z3^2 + 434000*ln2^3*z5 + 
    346500*ln2*z2*z5 + 234500*sinf*z2*z5 + 834750*z3*z5 - 211750*ln2*z7 - 
    97125*sinf*z7)/224000, H[1, 0, 0, -1, 1, 1, 1, 1, 1] -> 
  (8064000*li8half + 200*ln2^8 - 1008000*ln2^2*s6 + 10475325*s8a + 
    82152000*s8b + 2016000*s8c + 10080000*s8d + 8064000*li7half*sinf - 
    1600*ln2^7*sinf + 8064000*ln2*s6*sinf - 8064000*s7a*sinf - 
    5600*ln2^6*z2 - 26208000*s6*z2 - 12096000*li5half*sinf*z2 + 
    134400*ln2^5*sinf*z2 + 18547200*li4half*z2^2 + 504000*ln2^4*z2^2 - 
    940800*ln2^3*sinf*z2^2 - 4716000*ln2^2*z2^3 - 3772800*ln2*sinf*z2^3 - 
    10519848*z2^4 + 4032000*li5half*z3 + 25200*ln2^5*z3 - 
    16128000*li4half*sinf*z3 - 672000*ln2^4*sinf*z3 - 252000*ln2^3*z2*z3 + 
    4032000*ln2^2*sinf*z2*z3 - 2230200*ln2*z2^2*z3 + 3074400*sinf*z2^2*z3 - 
    283500*ln2^2*z3^2 - 10080000*ln2*sinf*z3^2 - 4315500*z2*z3^2 - 
    7812000*ln2^2*sinf*z5 - 6048000*ln2*z2*z5 - 126000*sinf*z2*z5 + 
    12277125*z3*z5 + 15781500*sinf*z7)/4032000, 
 H[1, 0, 0, -1, 1, 1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    46368000*ln2^2*s6 - 227874150*s8a - 857808000*s8b - 92736000*s8c - 
    48384000*s8d - 56448000*ln2*s6*sinf + 56448000*s7a*sinf - 
    14112000*s7b*sinf - 56448000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 
    509600*ln2^6*z2 + 223776000*s6*z2 - 37900800*li4half*z2^2 - 
    2167200*ln2^4*z2^2 + 10584000*ln2^3*sinf*z2^2 - 1915200*ln2^2*z2^3 + 
    25754400*ln2*sinf*z2^3 + 68240016*z2^4 + 96768000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 2864400*ln2^5*z3 + 148176000*li4half*sinf*z3 + 
    6174000*ln2^4*sinf*z3 + 24528000*ln2^3*z2*z3 - 
    37044000*ln2^2*sinf*z2*z3 + 150217200*ln2*z2^2*z3 + 
    16581600*sinf*z2^2*z3 - 11655000*ln2^2*z3^2 + 70560000*ln2*sinf*z3^2 + 
    133497000*z2*z3^2 + 68355000*ln2^2*sinf*z5 + 278208000*ln2*z2*z5 + 
    43659000*sinf*z2*z5 - 461679750*z3*z5 - 271931625*sinf*z7)/28224000, 
 H[1, 0, 0, -1, 1, 1, 1, -1, 1] -> 
  (-197568000*li4half^2 + 451584000*li8half + 338688000*li7half*ln2 + 
    56448000*li6half*ln2^2 - 16464000*li4half*ln2^4 - 320600*ln2^8 - 
    24192000*ln2^2*s6 + 129024000*ln2*s7a + 143136000*ln2*s7b - 
    342307350*s8a - 866880000*s8b - 237888000*s8c - 16128000*s8d + 
    225792000*li7half*sinf + 112896000*li6half*ln2*sinf + 112000*ln2^7*sinf - 
    129024000*ln2*s6*sinf + 100800000*s7a*sinf - 82656000*s7b*sinf - 
    56448000*li6half*z2 + 98784000*li4half*ln2^2*z2 + 3959200*ln2^6*z2 + 
    173376000*s6*z2 - 112896000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*
     z2 - 11054400*ln2^5*sinf*z2 + 116726400*li4half*z2^2 + 
    1218000*ln2^4*z2^2 + 56683200*ln2^3*sinf*z2^2 - 907200*ln2^2*z2^3 + 
    66578400*ln2*sinf*z2^3 + 2494944*z2^4 + 173376000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 1848000*ln2^5*z3 + 84672000*li4half*sinf*z3 + 
    3528000*ln2^4*sinf*z3 - 2016000*ln2^3*z2*z3 - 89964000*ln2^2*sinf*z2*z3 + 
    310564800*ln2*z2^2*z3 + 49518000*sinf*z2^2*z3 + 115132500*ln2^2*z3^2 + 
    53235000*ln2*sinf*z3^2 + 295501500*z2*z3^2 - 13671000*ln2^3*z5 + 
    177723000*ln2^2*sinf*z5 + 292761000*ln2*z2*z5 + 386127000*sinf*z2*z5 - 
    983634750*z3*z5 - 56755125*ln2*z7 - 815495625*sinf*z7)/56448000, 
 H[1, 0, 0, -1, 1, 1, 0, 1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    39312000*ln2^2*s6 + 158229225*s8a - 63000000*s8b + 78624000*s8c - 
    78624000*s8d - 133056000*ln2*s6*sinf + 133056000*s7a*sinf - 
    8064000*s7b*sinf + 56448000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 
    1685600*ln2^6*z2 + 241920000*s6*z2 + 169344000*li5half*sinf*z2 - 
    1411200*ln2^5*sinf*z2 - 122976000*li4half*z2^2 - 1008000*ln2^4*z2^2 + 
    14112000*ln2^3*sinf*z2^2 + 42487200*ln2^2*z2^3 + 22680000*ln2*sinf*z2^3 + 
    1226976*z2^4 - 181440000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    7686000*ln2^5*z3 + 91728000*li4half*sinf*z3 + 3822000*ln2^4*sinf*z3 - 
    43932000*ln2^3*z2*z3 - 22932000*ln2^2*sinf*z2*z3 - 
    240269400*ln2*z2^2*z3 - 90468000*sinf*z2^2*z3 + 59944500*ln2^2*z3^2 + 
    166320000*ln2*sinf*z3^2 - 85648500*z2*z3^2 + 136710000*ln2^2*sinf*z5 - 
    235872000*ln2*z2*z5 + 37359000*sinf*z2*z5 + 482792625*z3*z5 - 
    37800000*sinf*z7)/28224000, H[1, 0, 0, -1, 1, 1, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 504000*ln2^2*s6 + 
    469350*s8a + 9072000*s8b - 1008000*s8c + 1008000*s8d + 
    3600000*ln2*s6*sinf - 3600000*s7a*sinf + 2448000*s7b*sinf + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 - 4536000*s6*z2 + 
    2419200*li4half*z2^2 - 25200*ln2^4*z2^2 - 1713600*ln2^2*z2^3 - 
    370800*ln2*sinf*z2^3 - 1410954*z2^4 - 3528000*li4half*ln2*z3 - 
    147000*ln2^5*z3 - 1512000*li4half*sinf*z3 - 63000*ln2^4*sinf*z3 + 
    882000*ln2^3*z2*z3 + 378000*ln2^2*sinf*z2*z3 + 1890000*ln2*z2^2*z3 - 
    1680300*sinf*z2^2*z3 - 740250*ln2^2*z3^2 - 4500000*ln2*sinf*z3^2 + 
    677250*z2*z3^2 - 5859000*ln2^2*sinf*z5 + 3024000*ln2*z2*z5 - 
    7380000*sinf*z2*z5 + 204750*z3*z5 + 18727875*sinf*z7)/1008000, 
 H[1, 0, 0, -1, 1, 1, 0, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    2772000*ln2^2*s6 + 14616000*ln2*s7a - 41832000*ln2*s7b + 33575850*s8a + 
    141372000*s8b + 7560000*s8c + 34776000*s8d + 22680000*ln2*s6*sinf + 
    19656000*s7a*sinf - 57960000*s7b*sinf + 7056000*li6half*z2 + 
    7056000*li4half*ln2^2*z2 + 303800*ln2^6*z2 - 101304000*s6*z2 - 
    7056000*li5half*sinf*z2 + 58800*ln2^5*sinf*z2 + 22478400*li4half*z2^2 - 
    92400*ln2^4*z2^2 - 588000*ln2^3*sinf*z2^2 - 9777600*ln2^2*z2^3 - 
    23599800*ln2*sinf*z2^3 - 28871079*z2^4 - 60732000*li5half*z3 - 
    24696000*li4half*ln2*z3 - 522900*ln2^5*z3 - 10584000*li4half*sinf*z3 - 
    441000*ln2^4*sinf*z3 + 2142000*ln2^3*z2*z3 + 2646000*ln2^2*sinf*z2*z3 - 
    11198250*ln2*z2^2*z3 + 15053850*sinf*z2^2*z3 + 23160375*ln2^2*z3^2 + 
    28759500*ln2*sinf*z3^2 - 16915500*z2*z3^2 + 54684000*ln2^3*z5 + 
    75190500*ln2^2*sinf*z5 + 101965500*ln2*z2*z5 + 182385000*sinf*z2*z5 + 
    151074000*z3*z5 - 73434375*ln2*z7 - 277696125*sinf*z7)/7056000, 
 H[1, 0, 0, -1, 1, 1, -1, 1, 1] -> (16128000*li4half^2 - 5376000*li8half + 
    5376000*li6half*ln2^2 + 1792000*li5half*ln2^3 + 1344000*li4half*ln2^4 + 
    20400*ln2^8 + 9072000*ln2^2*s6 + 8240400*s8a + 336000*s8b - 5376000*s8c + 
    6720000*s8d - 16128000*li7half*sinf + 2688000*li5half*ln2^2*sinf - 
    19200*ln2^7*sinf + 8256000*ln2*s6*sinf - 8256000*s7a*sinf + 
    9888000*s7b*sinf - 5376000*li6half*z2 - 5376000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 - 257600*ln2^6*z2 - 20496000*s6*z2 + 
    8064000*li4half*ln2*sinf*z2 + 492800*ln2^5*sinf*z2 - 
    8736000*li4half*z2^2 - 229600*ln2^4*z2^2 - 2520000*ln2^3*sinf*z2^2 + 
    2311200*ln2^2*z2^3 - 1826400*ln2*sinf*z2^3 - 6077016*z2^4 - 
    9408000*li5half*z3 + 14112000*li4half*ln2*z3 + 627200*ln2^5*z3 - 
    2688000*li4half*sinf*z3 - 112000*ln2^4*sinf*z3 - 3920000*ln2^3*z2*z3 + 
    7224000*ln2^2*sinf*z2*z3 - 5628000*ln2*z2^2*z3 - 4623600*sinf*z2^2*z3 + 
    1596000*ln2^2*z3^2 - 10320000*ln2*sinf*z3^2 + 2268000*z2*z3^2 - 
    6944000*ln2^3*z5 - 27993000*ln2^2*sinf*z5 + 36960000*ln2*z2*z5 - 
    20583000*sinf*z2*z5 + 36183000*z3*z5 + 55571625*sinf*z7)/2688000, 
 H[1, 0, 0, -1, 1, 1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    9576000*ln2^2*s6 - 13656825*s8a + 73080000*s8b + 19152000*s8c - 
    19152000*s8d - 19152000*ln2*s6*sinf + 19152000*s7a*sinf + 
    19152000*s7b*sinf + 112896000*li6half*z2 + 42336000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 131796000*s6*z2 + 
    14112000*li5half*sinf*z2 - 117600*ln2^5*sinf*z2 + 15220800*li4half*z2^2 + 
    46200*ln2^4*z2^2 + 1176000*ln2^3*sinf*z2^2 - 12738600*ln2^2*z2^3 + 
    1789200*ln2*sinf*z2^3 + 17687988*z2^4 - 7560000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 1995000*ln2^5*z3 + 21168000*li4half*sinf*z3 + 
    882000*ln2^4*sinf*z3 + 9660000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 - 
    11529000*ln2*z2^2*z3 - 16310700*sinf*z2^2*z3 - 22758750*ln2^2*z3^2 + 
    23940000*ln2*sinf*z3^2 - 54164250*z2*z3^2 - 221508000*ln2*z2*z5 - 
    110943000*sinf*z2*z5 - 44060625*z3*z5 + 201403125*sinf*z7)/14112000, 
 H[1, 0, 0, -1, 1, 1, -1, -1, 1] -> 
  (1806336000*li8half + 564480000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 + 168000*ln2^8 - 578592000*ln2^2*s6 + 
    76608000*ln2*s7a - 304416000*ln2*s7b + 987550200*s8a + 5017824000*s8b + 
    806400000*s8c + 322560000*s8d + 903168000*li7half*sinf + 
    112896000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf + 
    448000*ln2^7*sinf - 131040000*ln2*s6*sinf + 201600000*s7a*sinf - 
    419328000*s7b*sinf - 56448000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    1411200*ln2^6*z2 - 1244880000*s6*z2 + 112896000*li5half*sinf*z2 - 
    4233600*ln2^5*sinf*z2 + 72979200*li4half*z2^2 + 16447200*ln2^4*z2^2 + 
    28929600*ln2^3*sinf*z2^2 + 101707200*ln2^2*z2^3 + 
    20462400*ln2*sinf*z2^3 - 99440568*z2^4 - 800352000*li5half*z3 + 
    7492800*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 
    74928000*ln2^3*z2*z3 - 65268000*ln2^2*sinf*z2*z3 - 
    687254400*ln2*z2^2*z3 + 118263600*sinf*z2^2*z3 + 144427500*ln2^2*z3^2 + 
    352107000*ln2*sinf*z3^2 - 842719500*z2*z3^2 + 514941000*ln2^3*z5 + 
    820260000*ln2^2*sinf*z5 - 1731807000*ln2*z2*z5 + 1072575000*sinf*z2*z5 + 
    1237241250*z3*z5 - 1334725875*ln2*z7 - 2829078000*sinf*z7)/56448000, 
 H[1, 0, 0, -1, 1, 0, 1, 1, 1] -> (-806400*li4half^2 - 67200*li4half*ln2^4 - 
    1400*ln2^8 + 134400*ln2^2*s6 - 428400*s8a - 3628800*s8b - 268800*s8c + 
    268800*s8d + 57600*ln2*s6*sinf - 57600*s7a*sinf - 57600*s7b*sinf + 
    403200*li4half*ln2^2*z2 + 16800*ln2^6*z2 - 537600*s6*z2 - 
    1128960*li4half*z2^2 - 97440*ln2^4*z2^2 + 288960*ln2^2*z2^3 + 
    378720*ln2*sinf*z2^3 + 282072*z2^4 - 1411200*li4half*ln2*z3 - 
    58800*ln2^5*z3 + 1276800*li4half*sinf*z3 + 53200*ln2^4*sinf*z3 + 
    352800*ln2^3*z2*z3 - 319200*ln2^2*sinf*z2*z3 + 1421280*ln2*z2^2*z3 - 
    28800*sinf*z2^2*z3 - 609000*ln2^2*z3^2 - 72000*ln2*sinf*z3^2 + 
    819000*z2*z3^2 + 806400*ln2*z2*z5 + 1248600*sinf*z2*z5 - 1134000*z3*z5 - 
    3642075*sinf*z7)/268800, H[1, 0, 0, -1, 1, 0, 1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 6781950*s8a + 26712000*s8b + 8064000*s8c - 
    8064000*s8d + 2880000*ln2*s6*sinf - 2880000*s7a*sinf - 2880000*s7b*sinf - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 6048000*s6*z2 - 
    2016000*li4half*z2^2 + 420000*ln2^4*z2^2 + 302400*ln2^2*z2^3 - 
    3744000*ln2*sinf*z2^3 + 2976792*z2^4 + 8064000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 520800*ln2^5*z3 - 18144000*li4half*sinf*z3 - 
    756000*ln2^4*sinf*z3 - 2856000*ln2^3*z2*z3 + 4536000*ln2^2*sinf*z2*z3 - 
    10873800*ln2*z2^2*z3 + 3524400*sinf*z2^2*z3 + 2394000*ln2^2*z3^2 - 
    3600000*ln2*sinf*z3^2 - 5292000*z2*z3^2 - 24192000*ln2*z2*z5 + 
    8460000*sinf*z2*z5 - 5496750*z3*z5 - 5396625*sinf*z7)/2016000, 
 H[1, 0, 0, -1, 1, 0, 1, -1, 1] -> 
  (310464000*li4half^2 + 25872000*li4half*ln2^4 + 539000*ln2^8 - 
    399168000*ln2^2*s6 + 50400000*ln2*s7a - 231840000*ln2*s7b + 
    744442650*s8a + 2906568000*s8b + 725760000*s8c + 36288000*s8d + 
    84672000*ln2*s6*sinf - 56448000*s7a*sinf + 112896000*s7b*sinf + 
    84672000*li5half*ln2*z2 - 155232000*li4half*ln2^2*z2 - 7173600*ln2^6*z2 - 
    467712000*s6*z2 + 225792000*li5half*sinf*z2 + 254016000*li4half*ln2*sinf*
     z2 + 8702400*ln2^5*sinf*z2 - 236880000*li4half*z2^2 + 
    16590000*ln2^4*z2^2 - 44688000*ln2^3*sinf*z2^2 + 166420800*ln2^2*z2^3 + 
    40168800*ln2*sinf*z2^3 + 142312644*z2^4 - 411264000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 7543200*ln2^5*z3 - 96012000*ln2^3*z2*z3 - 
    559818000*ln2*z2^2*z3 - 61387200*sinf*z2^2*z3 - 7308000*ln2^2*z3^2 - 
    56448000*ln2*sinf*z3^2 - 687204000*z2*z3^2 + 273420000*ln2^3*z5 - 
    164052000*ln2^2*sinf*z5 - 1712340000*ln2*z2*z5 - 560511000*sinf*z2*z5 + 
    1111477500*z3*z5 - 1009960875*ln2*z7 + 636142500*sinf*z7)/28224000, 
 H[1, 0, 0, -1, 1, 0, 0, 1, 1] -> (672000*ln2^2*s6 - 1579725*s8a + 
    5712000*s8b - 1344000*s8c + 1344000*s8d - 672000*ln2*s6*sinf + 
    672000*s7a*sinf + 672000*s7b*sinf - 6048000*s6*z2 - 403200*li4half*z2^2 - 
    16800*ln2^4*z2^2 + 134400*ln2^2*z2^3 + 117600*ln2*sinf*z2^3 - 
    525036*z2^4 - 1344000*li5half*z3 + 11200*ln2^5*z3 + 
    1344000*li4half*sinf*z3 + 56000*ln2^4*sinf*z3 - 112000*ln2^3*z2*z3 - 
    336000*ln2^2*sinf*z2*z3 - 25200*ln2*z2^2*z3 - 974400*sinf*z2^2*z3 + 
    630000*ln2^2*z3^2 + 840000*ln2*sinf*z3^2 + 1092000*z2*z3^2 + 
    4032000*ln2*z2*z5 - 8484000*sinf*z2*z5 + 2160375*z3*z5 + 
    16191000*sinf*z7)/672000, H[1, 0, 0, -1, 1, 0, 0, 0, 1] -> 
  (-42525*s8a - 588000*s8b + 201600*s6*z2 - 26880*li4half*z2^2 - 
    1120*ln2^4*z2^2 + 6720*ln2^2*z2^3 + 151200*ln2*sinf*z2^3 + 22812*z2^4 + 
    20580*ln2*z2^2*z3 + 26460*sinf*z2^2*z3 - 44100*z2*z3^2 + 192675*z3*z5 - 
    567525*sinf*z7)/33600, H[1, 0, 0, -1, 1, 0, 0, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    95760000*ln2^2*s6 - 65520000*ln2*s7a + 103824000*ln2*s7b - 
    192964275*s8a - 968688000*s8b - 145152000*s8c - 108864000*s8d - 
    12096000*ln2*s6*sinf - 72576000*s7a*sinf + 96768000*s7b*sinf - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 369432000*s6*z2 - 
    37296000*li4half*z2^2 - 672000*ln2^4*z2^2 - 19681200*ln2^2*z2^3 + 
    37497600*ln2*sinf*z2^3 + 18473076*z2^4 + 228312000*li5half*z3 + 
    24696000*li4half*ln2*z3 - 873600*ln2^5*z3 + 10584000*li4half*sinf*z3 + 
    441000*ln2^4*sinf*z3 + 12852000*ln2^3*z2*z3 - 2646000*ln2^2*sinf*z2*z3 + 
    131474700*ln2*z2^2*z3 - 28879200*sinf*z2^2*z3 - 50242500*ln2^2*z3^2 - 
    58968000*ln2*sinf*z3^2 + 148774500*z2*z3^2 - 164052000*ln2^3*z5 - 
    164052000*ln2^2*sinf*z5 + 125181000*ln2*z2*z5 - 289548000*sinf*z2*z5 - 
    409114125*z3*z5 + 369644625*ln2*z7 + 444669750*sinf*z7)/7056000, 
 H[1, 0, 0, -1, 1, 0, -1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    9072000*ln2^2*s6 - 94466925*s8a - 317772000*s8b - 32256000*s8c - 
    66528000*s8d - 69552000*ln2*s6*sinf + 69552000*s7a*sinf - 
    113904000*s7b*sinf - 42336000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 
    646800*ln2^6*z2 + 189504000*s6*z2 + 225792000*li5half*sinf*z2 + 
    42336000*li4half*ln2*sinf*z2 - 117600*ln2^5*sinf*z2 + 
    14212800*li4half*z2^2 - 3817800*ln2^4*z2^2 + 8232000*ln2^3*sinf*z2^2 - 
    29257200*ln2^2*z2^3 + 5392800*ln2*sinf*z2^3 + 18896562*z2^4 - 
    272664000*li5half*z3 - 98784000*li4half*ln2*z3 - 1843800*ln2^5*z3 - 
    31752000*li4half*sinf*z3 - 1323000*ln2^4*sinf*z3 + 20496000*ln2^3*z2*z3 + 
    7938000*ln2^2*sinf*z2*z3 - 47665800*ln2*z2^2*z3 + 44654400*sinf*z2^2*z3 + 
    13356000*ln2^2*z3^2 + 86940000*ln2*sinf*z3^2 + 36540000*z2*z3^2 + 
    45570000*ln2^3*z5 + 246078000*ln2^2*sinf*z5 + 72513000*ln2*z2*z5 + 
    30744000*sinf*z2*z5 + 191968875*z3*z5 - 398152125*sinf*z7)/14112000, 
 H[1, 0, 0, -1, 1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 3231900*s8a - 16128000*s8b + 8064000*s8c - 
    8064000*s8d - 5184000*ln2*s6*sinf + 5184000*s7a*sinf + 5184000*s7b*sinf - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 7056000*s6*z2 - 
    12196800*li4half*z2^2 - 4200*ln2^4*z2^2 + 2847600*ln2^2*z2^3 + 
    2203200*ln2*sinf*z2^3 + 4975554*z2^4 + 10080000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 504000*ln2^5*z3 + 12096000*li4half*sinf*z3 + 
    504000*ln2^4*sinf*z3 - 2688000*ln2^3*z2*z3 - 3024000*ln2^2*sinf*z2*z3 - 
    8908200*ln2*z2^2*z3 - 2926800*sinf*z2^2*z3 + 1512000*ln2^2*z3^2 + 
    6480000*ln2*sinf*z3^2 + 2142000*z2*z3^2 + 5103000*ln2*z2*z5 - 
    5463000*sinf*z2*z5 - 20175750*z3*z5 + 3754125*sinf*z7)/2016000, 
 H[1, 0, 0, -1, 1, 0, -1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    178416000*ln2^2*s6 - 12096000*ln2*s7a + 270144000*ln2*s7b - 
    424471950*s8a - 2149056000*s8b - 332640000*s8c - 231840000*s8d + 
    10080000*ln2*s6*sinf - 38304000*s7a*sinf + 159264000*s7b*sinf - 
    56448000*li4half*ln2^2*z2 - 2352000*ln2^6*z2 + 760032000*s6*z2 - 
    166320000*li4half*z2^2 + 126000*ln2^4*z2^2 - 15724800*ln2^2*z2^3 + 
    75801600*ln2*sinf*z2^3 + 52350408*z2^4 + 470736000*li5half*z3 + 
    197568000*li4half*ln2*z3 + 4309200*ln2^5*z3 + 77616000*li4half*sinf*z3 + 
    3234000*ln2^4*sinf*z3 - 10164000*ln2^3*z2*z3 - 
    19404000*ln2^2*sinf*z2*z3 + 212347800*ln2*z2^2*z3 - 
    72954000*sinf*z2^2*z3 - 43974000*ln2^2*z3^2 - 77427000*ln2*sinf*z3^2 + 
    372078000*z2*z3^2 - 364560000*ln2^3*z5 - 328104000*ln2^2*sinf*z5 + 
    332262000*ln2*z2*z5 - 393970500*sinf*z2*z5 - 936581625*z3*z5 + 
    1000156500*ln2*z7 + 672792750*sinf*z7)/28224000, 
 H[1, 0, 0, -1, 1, -1, 1, 1, 1] -> (-16934400*li4half^2 - 33868800*li8half + 
    940800*li5half*ln2^3 - 705600*li4half*ln2^4 - 8680*ln2^8 + 
    12398400*ln2^2*s6 - 40894875*s8a - 224784000*s8b - 24796800*s8c - 
    21067200*s8d - 16934400*li7half*sinf + 940800*li4half*ln2^3*sinf + 
    42560*ln2^7*sinf + 2016000*ln2*s6*sinf - 2016000*s7a*sinf - 
    14716800*s7b*sinf - 2822400*li5half*ln2*z2 + 4233600*li4half*ln2^2*z2 + 
    125440*ln2^6*z2 + 65066400*s6*z2 + 8467200*li5half*sinf*z2 - 
    2822400*li4half*ln2*sinf*z2 - 493920*ln2^5*sinf*z2 + 
    5100480*li4half*z2^2 + 1294440*ln2^4*z2^2 + 1752240*ln2^3*sinf*z2^2 - 
    5415480*ln2^2*z2^3 - 907200*ln2*sinf*z2^3 + 3910806*z2^4 + 
    30139200*li5half*z3 - 14817600*li4half*ln2*z3 - 909720*ln2^5*z3 - 
    1411200*li4half*sinf*z3 - 58800*ln2^4*sinf*z3 + 6627600*ln2^3*z2*z3 + 
    2469600*ln2^2*sinf*z2*z3 + 43042860*ln2*z2^2*z3 + 10916640*sinf*z2^2*z3 - 
    3613050*ln2^2*z3^2 - 2520000*ln2*sinf*z3^2 + 34451550*z2*z3^2 - 
    2278500*ln2^3*z5 + 12303900*ln2^2*sinf*z5 + 81225900*ln2*z2*z5 + 
    44906400*sinf*z2*z5 - 73080000*z3*z5 - 100207800*sinf*z7)/2822400, 
 H[1, 0, 0, -1, 1, -1, 1, 0, 1] -> 
  (4233600*li4half^2 + 352800*li4half*ln2^4 + 7350*ln2^8 - 8064000*ln2^2*s6 + 
    25277175*s8a + 128898000*s8b + 16128000*s8c + 12096000*s8d + 
    4435200*ln2*s6*sinf - 4435200*s7a*sinf + 9676800*s7b*sinf + 
    2822400*li6half*z2 + 1411200*li5half*ln2*z2 + 705600*li4half*ln2^2*z2 + 
    21560*ln2^6*z2 - 41479200*s6*z2 + 1411200*li4half*ln2*sinf*z2 + 
    58800*ln2^5*sinf*z2 + 1360800*li4half*z2^2 - 325500*ln2^4*z2^2 - 
    2469600*ln2^3*sinf*z2^2 + 3689280*ln2^2*z2^3 + 778680*ln2*sinf*z2^3 - 
    1497429*z2^4 - 27014400*li5half*z3 + 225120*ln2^5*z3 - 
    2822400*li4half*sinf*z3 - 117600*ln2^4*sinf*z3 - 2457000*ln2^3*z2*z3 + 
    705600*ln2^2*sinf*z2*z3 - 21934080*ln2*z2^2*z3 - 4951800*sinf*z2^2*z3 - 
    1033200*ln2^2*z3^2 - 5544000*ln2*sinf*z3^2 - 19196100*z2*z3^2 - 
    13671000*ln2^2*sinf*z5 - 51801750*ln2*z2*z5 - 28866600*sinf*z2*z5 + 
    48415500*z3*z5 + 60067350*sinf*z7)/1411200, 
 H[1, 0, 0, -1, 1, -1, 1, -1, 1] -> 
  (56448000*li8half - 169344000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 219800*ln2^8 - 
    113400000*ln2^2*s6 - 16128000*ln2*s7a - 72576000*ln2*s7b + 
    428886675*s8a + 2080512000*s8b + 322560000*s8c + 178416000*s8d - 
    56448000*li6half*ln2*sinf - 9408000*li4half*ln2^3*sinf - 
    470400*ln2^7*sinf + 63504000*ln2*s6*sinf + 28224000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 2391200*ln2^6*z2 - 
    639072000*s6*z2 + 28224000*li4half*ln2*sinf*z2 + 4704000*ln2^5*sinf*z2 + 
    48384000*li4half*z2^2 - 21856800*ln2^4*z2^2 - 12230400*ln2^3*sinf*z2^2 + 
    25804800*ln2^2*z2^3 - 7812000*ln2*sinf*z2^3 - 14019912*z2^4 - 
    370944000*li5half*z3 - 112896000*li4half*ln2*z3 - 1201200*ln2^5*z3 - 
    14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 6804000*ln2^3*z2*z3 - 
    38808000*ln2^2*sinf*z2*z3 - 298746000*ln2*z2^2*z3 - 
    11818800*sinf*z2^2*z3 - 49644000*ln2^2*z3^2 + 19404000*ln2*sinf*z3^2 - 
    347760000*z2*z3^2 + 77469000*ln2^3*z5 - 821079000*ln2*z2*z5 - 
    14112000*sinf*z2*z5 + 724381875*z3*z5 - 73395000*ln2*z7 + 
    83349000*sinf*z7)/28224000, H[1, 0, 0, -1, 1, -1, 0, 1, 1] -> 
  (98784000*li4half^2 + 8232000*li4half*ln2^4 + 171500*ln2^8 + 
    25200000*ln2^2*s6 - 12699225*s8a + 142380000*s8b - 50400000*s8c + 
    50400000*s8d + 27216000*ln2*s6*sinf - 27216000*s7a*sinf + 
    113904000*s7b*sinf - 28224000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 1744400*ln2^6*z2 - 139608000*s6*z2 - 
    112896000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    2116800*ln2^5*sinf*z2 - 72475200*li4half*z2^2 + 2566200*ln2^4*z2^2 - 
    16464000*ln2^3*sinf*z2^2 + 5670000*ln2^2*z2^3 - 13330800*ln2*sinf*z2^3 - 
    12408006*z2^4 + 107352000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    3221400*ln2^5*z3 + 24696000*li4half*sinf*z3 + 1029000*ln2^4*sinf*z3 - 
    19866000*ln2^3*z2*z3 - 6174000*ln2^2*sinf*z2*z3 - 5896800*ln2*z2^2*z3 - 
    66175200*sinf*z2^2*z3 + 47218500*ln2^2*z3^2 - 34020000*ln2*sinf*z3^2 - 
    787500*z2*z3^2 - 136710000*ln2^2*sinf*z5 + 82845000*ln2*z2*z5 - 
    323127000*sinf*z2*z5 + 37642500*z3*z5 + 823331250*sinf*z7)/14112000, 
 H[1, 0, 0, -1, 1, -1, 0, 0, 1] -> (-403200*li4half^2 - 33600*li4half*ln2^4 - 
    700*ln2^8 - 581175*s8a - 3528000*s8b - 1036800*ln2*s6*sinf + 
    1036800*s7a*sinf - 1382400*s7b*sinf + 201600*li4half*ln2^2*z2 + 
    8400*ln2^6*z2 + 1008000*s6*z2 + 80640*li4half*z2^2 - 21840*ln2^4*z2^2 + 
    433440*ln2^2*z2^3 + 77760*ln2*sinf*z2^3 + 128388*z2^4 + 
    302400*li5half*z3 - 2520*ln2^5*z3 + 302400*li4half*sinf*z3 + 
    12600*ln2^4*sinf*z3 + 25200*ln2^3*z2*z3 - 75600*ln2^2*sinf*z2*z3 + 
    409500*ln2*z2^2*z3 + 790560*sinf*z2^2*z3 - 132300*ln2^2*z3^2 + 
    1296000*ln2*sinf*z3^2 + 157500*z2*z3^2 + 2343600*ln2^2*sinf*z5 + 
    4136400*sinf*z2*z5 - 708750*z3*z5 - 9240975*sinf*z7)/201600, 
 H[1, 0, 0, -1, 1, -1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    41328000*ln2^2*s6 - 35280000*ln2*s7a + 134064000*ln2*s7b - 42090300*s8a - 
    389088000*s8b + 12096000*s8c - 96768000*s8d - 60480000*ln2*s6*sinf - 
    80640000*s7a*sinf + 173376000*s7b*sinf - 14112000*li6half*z2 + 
    14112000*li5half*ln2*z2 - 49392000*li4half*ln2^2*z2 - 2195200*ln2^6*z2 + 
    287028000*s6*z2 + 56448000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*
     z2 + 117600*ln2^5*sinf*z2 - 123782400*li4half*z2^2 + 
    1604400*ln2^4*z2^2 + 1176000*ln2^3*sinf*z2^2 + 57632400*ln2^2*z2^3 + 
    76129200*ln2*sinf*z2^3 + 62147172*z2^4 + 115920000*li5half*z3 + 
    172872000*li4half*ln2*z3 + 6237000*ln2^5*z3 + 35280000*li4half*sinf*z3 + 
    1470000*ln2^4*sinf*z3 - 35616000*ln2^3*z2*z3 - 8820000*ln2^2*sinf*z2*z3 - 
    65772000*ln2*z2^2*z3 - 63252000*sinf*z2^2*z3 - 28602000*ln2^2*z3^2 - 
    72576000*ln2*sinf*z3^2 - 252000*z2*z3^2 - 164052000*ln2^3*z5 - 
    246078000*ln2^2*sinf*z5 - 469570500*ln2*z2*z5 - 563976000*sinf*z2*z5 - 
    146648250*z3*z5 + 540610875*ln2*z7 + 836679375*sinf*z7)/14112000, 
 H[1, 0, 0, -1, 1, -1, -1, 1, 1] -> (10160640*li4half^2 - 63221760*li8half + 
    9031680*li6half*ln2^2 + 752640*li5half*ln2^3 + 282240*li4half*ln2^4 - 
    1176*ln2^8 + 10563840*ln2^2*s6 - 20469960*s8a - 93824640*s8b - 
    16611840*s8c - 4273920*s8d - 31610880*li7half*sinf + 
    2257920*li5half*ln2^2*sinf - 752640*li4half*ln2^3*sinf - 
    43904*ln2^7*sinf + 5967360*ln2*s6*sinf - 5967360*s7a*sinf + 
    10402560*s7b*sinf - 9031680*li6half*z2 - 4515840*li5half*ln2*z2 - 
    3951360*li4half*ln2^2*z2 - 79968*ln2^6*z2 + 16732800*s6*z2 + 
    9031680*li5half*sinf*z2 + 10160640*li4half*ln2*sinf*z2 + 
    592704*ln2^5*sinf*z2 - 6330240*li4half*z2^2 - 550704*ln2^4*z2^2 - 
    3170496*ln2^3*sinf*z2^2 - 524160*ln2^2*z2^3 - 4017888*ln2*sinf*z2^3 + 
    3914712*z2^4 - 5564160*li5half*z3 + 79296*ln2^5*z3 - 
    3669120*li4half*sinf*z3 - 152880*ln2^4*sinf*z3 - 792960*ln2^3*z2*z3 + 
    2610720*ln2^2*sinf*z2*z3 + 3813264*ln2*z2^2*z3 - 4197312*sinf*z2^2*z3 + 
    6922440*ln2^2*z3^2 - 7459200*ln2*sinf*z3^2 + 11277000*z2*z3^2 + 
    5103840*ln2^3*z5 - 10936800*ln2^2*sinf*z5 + 39992400*ln2*z2*z5 - 
    53418960*sinf*z2*z5 + 30413880*z3*z5 + 113110515*sinf*z7)/2257920, 
 H[1, 0, 0, -1, 1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    100800000*ln2^2*s6 - 359838675*s8a - 1921248000*s8b - 201600000*s8c - 
    221760000*s8d - 145152000*ln2*s6*sinf + 145152000*s7a*sinf - 
    94752000*s7b*sinf + 282240000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1842400*ln2^6*z2 + 732816000*s6*z2 + 
    28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    1411200*ln2^5*sinf*z2 - 71870400*li4half*z2^2 + 8177400*ln2^4*z2^2 + 
    41160000*ln2^3*sinf*z2^2 - 65343600*ln2^2*z2^3 + 2066400*ln2*sinf*z2^3 + 
    13322952*z2^4 + 358848000*li5half*z3 + 49392000*li4half*ln2*z3 - 
    932400*ln2^5*z3 + 155232000*li4half*sinf*z3 + 6468000*ln2^4*sinf*z3 + 
    21672000*ln2^3*z2*z3 - 38808000*ln2^2*sinf*z2*z3 + 
    233604000*ln2*z2^2*z3 + 45234000*sinf*z2^2*z3 + 25263000*ln2^2*z3^2 + 
    181440000*ln2*sinf*z3^2 + 302904000*z2*z3^2 + 232407000*ln2^2*sinf*z5 + 
    857713500*ln2*z2*z5 + 347350500*sinf*z2*z5 - 934510500*z3*z5 - 
    806872500*sinf*z7)/28224000, H[1, 0, 0, -1, 1, -1, -1, -1, 1] -> 
  (282240000*li4half^2 - 112896000*li8half - 564480000*li7half*ln2 - 
    282240000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    37632000*li4half*ln2^4 + 952000*ln2^8 - 28224000*ln2^2*s6 + 
    16128000*ln2*s7a + 552384000*ln2*s7b - 461478150*s8a - 2598624000*s8b - 
    314496000*s8c - 320544000*s8d + 225792000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 1052800*ln2^7*sinf - 
    249984000*ln2*s6*sinf + 24192000*s7a*sinf + 235872000*s7b*sinf + 
    56448000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 8937600*ln2^6*z2 + 1071504000*s6*z2 + 
    169344000*li5half*sinf*z2 - 7526400*ln2^5*sinf*z2 - 
    344937600*li4half*z2^2 + 28904400*ln2^4*z2^2 + 39748800*ln2^3*sinf*z2^2 + 
    74692800*ln2^2*z2^3 + 207496800*ln2*sinf*z2^3 + 123397056*z2^4 + 
    415296000*li5half*z3 + 508032000*li4half*ln2*z3 + 16884000*ln2^5*z3 + 
    148176000*li4half*sinf*z3 + 6174000*ln2^4*sinf*z3 - 
    84168000*ln2^3*z2*z3 - 37044000*ln2^2*sinf*z2*z3 - 15170400*ln2*z2^2*z3 - 
    121968000*sinf*z2^2*z3 - 20286000*ln2^2*z3^2 + 3780000*ln2*sinf*z3^2 + 
    373464000*z2*z3^2 - 647094000*ln2^3*z5 - 328104000*ln2^2*sinf*z5 - 
    572859000*ln2*z2*z5 - 712278000*sinf*z2*z5 - 911468250*z3*z5 + 
    2867240250*ln2*z7 + 778483125*sinf*z7)/56448000, 
 H[1, 0, 0, -1, 0, 1, 1, 1, 1] -> (2016000*li4half^2 + 168000*li4half*ln2^4 + 
    3500*ln2^8 - 1442700*s8a - 2016000*ln2*s6*sinf + 2016000*s7a*sinf + 
    2016000*s7b*sinf - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 
    1612800*li4half*z2^2 + 58800*ln2^4*z2^2 + 403200*ln2^2*z2^3 + 
    352800*ln2*sinf*z2^3 + 3135528*z2^4 + 3528000*li4half*ln2*z3 + 
    147000*ln2^5*z3 + 3528000*li4half*sinf*z3 + 147000*ln2^4*sinf*z3 - 
    882000*ln2^3*z2*z3 - 882000*ln2^2*sinf*z2*z3 - 1411200*ln2*z2^2*z3 - 
    932400*sinf*z2^2*z3 + 1543500*ln2^2*z3^2 + 2520000*ln2*sinf*z3^2 - 
    1543500*z2*z3^2 - 3339000*sinf*z2*z5 - 12379500*z3*z5 + 4906125*sinf*z7)/
   2016000, H[1, 0, 0, -1, 0, 1, 1, 0, 1] -> 
  (2020725*s8a - 672000*li4half*z2^2 - 28000*ln2^4*z2^2 + 168000*ln2^2*z2^3 - 
    1392844*z2^4 - 588000*ln2*z2^2*z3 - 1348200*sinf*z2^2*z3 - 
    1071000*z2*z3^2 + 10103625*z3*z5 + 4331250*sinf*z7)/672000, 
 H[1, 0, 0, -1, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    248976000*ln2^2*s6 - 116928000*ln2*s7a + 94752000*ln2*s7b - 
    340072425*s8a - 1663200000*s8b - 334656000*s8c - 88704000*s8d + 
    2016000*ln2*s6*sinf - 72576000*s7a*sinf + 26208000*s7b*sinf + 
    56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 424368000*s6*z2 - 
    56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 18950400*li4half*z2^2 - 
    11558400*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 - 77414400*ln2^2*z2^3 - 
    23284800*ln2*sinf*z2^3 - 69105168*z2^4 + 247968000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 4124400*ln2^5*z3 - 42336000*li4half*sinf*z3 - 
    1764000*ln2^4*sinf*z3 + 70056000*ln2^3*z2*z3 + 
    58212000*ln2^2*sinf*z2*z3 + 189327600*ln2*z2^2*z3 - 
    4800600*sinf*z2^2*z3 - 64260000*ln2^2*z3^2 - 21042000*ln2*sinf*z3^2 + 
    285390000*z2*z3^2 - 205065000*ln2^3*z5 - 95697000*ln2^2*sinf*z5 + 
    719019000*ln2*z2*z5 - 34650000*sinf*z2*z5 - 326914875*z3*z5 + 
    723744000*ln2*z7 + 139497750*sinf*z7)/28224000, 
 H[1, 0, 0, -1, 0, 1, 0, 1, 1] -> (-322560*li4half^2 - 26880*li4half*ln2^4 - 
    560*ln2^8 - 258615*s8a + 322560*ln2*s6*sinf - 322560*s7a*sinf - 
    322560*s7b*sinf + 161280*li4half*ln2^2*z2 + 6720*ln2^6*z2 + 
    564480*li4half*z2^2 + 3360*ln2^4*z2^2 - 141120*ln2^2*z2^3 - 
    56448*ln2*sinf*z2^3 + 18276*z2^4 - 564480*li4half*ln2*z3 - 
    23520*ln2^5*z3 - 564480*li4half*sinf*z3 - 23520*ln2^4*sinf*z3 + 
    141120*ln2^3*z2*z3 + 141120*ln2^2*sinf*z2*z3 + 493920*ln2*z2^2*z3 + 
    514080*sinf*z2^2*z3 - 246960*ln2^2*z3^2 - 403200*ln2*sinf*z3^2 + 
    21420*z2*z3^2 + 771120*sinf*z2*z5 - 940275*z3*z5 - 2361555*sinf*z7)/
   80640, H[1, 0, 0, -1, 0, 1, 0, 0, 1] -> 
  (3325*s8a + 53760*li4half*z2^2 + 2240*ln2^4*z2^2 - 13440*ln2^2*z2^3 - 
    14156*z2^4 + 47040*ln2*z2^2*z3 + 25200*sinf*z2^2*z3 + 8400*z2*z3^2 - 
    77175*z3*z5 - 63525*sinf*z7)/22400, H[1, 0, 0, -1, 0, 1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    10080000*ln2^2*s6 - 20160000*ln2*s7a - 20160000*ln2*s7b - 4650975*s8a + 
    122976000*s8b + 20160000*s8c - 20160000*s8d - 36288000*ln2*s6*sinf + 
    36288000*s7a*sinf + 36288000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 40320000*s6*z2 + 46065600*li4half*z2^2 - 
    1608600*ln2^4*z2^2 - 15548400*ln2^2*z2^3 + 6350400*ln2*sinf*z2^3 + 
    33706524*z2^4 + 40320000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    4452000*ln2^5*z3 + 28056000*ln2^3*z2*z3 + 53789400*ln2*z2^2*z3 - 
    1701000*sinf*z2^2*z3 - 55818000*ln2^2*z3^2 - 10206000*ln2*sinf*z3^2 - 
    4866750*z2*z3^2 - 1260000*ln2*z2*z5 - 122031000*sinf*z2*z5 - 
    208711125*z3*z5 - 384678000*ln2*z7 + 224618625*sinf*z7)/14112000, 
 H[1, 0, 0, -1, 0, 1, -1, 1, 1] -> 
  (-16934400*li4half^2 - 1411200*li4half*ln2^4 - 29400*ln2^8 - 
    15120000*ln2^2*s6 + 13914075*s8a + 66393600*s8b + 20832000*s8c - 
    2016000*s8d - 1075200*ln2*s6*sinf + 1075200*s7a*sinf + 2016000*s7b*sinf + 
    2822400*li4half*ln2^2*z2 + 117600*ln2^6*z2 - 672000*s6*z2 - 
    15052800*li5half*sinf*z2 - 11289600*li4half*ln2*sinf*z2 - 
    344960*ln2^5*sinf*z2 + 8346240*li4half*z2^2 + 700560*ln2^4*z2^2 + 
    1568000*ln2^3*sinf*z2^2 + 2882880*ln2^2*z2^3 - 201600*ln2*sinf*z2^3 + 
    6633876*z2^4 + 34137600*li5half*z3 - 284480*ln2^5*z3 + 
    4704000*li4half*sinf*z3 + 196000*ln2^4*sinf*z3 - 2094400*ln2^3*z2*z3 - 
    7526400*ln2^2*sinf*z2*z3 - 807240*ln2*z2^2*z3 - 38640*sinf*z2^2*z3 - 
    4149600*ln2^2*z3^2 + 1344000*ln2*sinf*z3^2 - 16829400*z2*z3^2 + 
    3038000*ln2^3*z5 + 3645600*ln2^2*sinf*z5 - 71610000*ln2*z2*z5 + 
    8954400*sinf*z2*z5 - 36355725*z3*z5 + 4062450*sinf*z7)/1881600, 
 H[1, 0, 0, -1, 0, 1, -1, 0, 1] -> (2688000*ln2^2*s6 - 833700*s8a + 
    1680000*s8b - 5376000*s8c + 5376000*s8d + 3456000*ln2*s6*sinf - 
    3456000*s7a*sinf - 3456000*s7b*sinf - 13104000*s6*z2 + 
    4065600*li4half*z2^2 + 169400*ln2^4*z2^2 - 882000*ln2^2*z2^3 - 
    712800*ln2*sinf*z2^3 - 4822442*z2^4 - 10752000*li5half*z3 - 
    4704000*li4half*ln2*z3 - 106400*ln2^5*z3 - 6048000*li4half*sinf*z3 - 
    252000*ln2^4*sinf*z3 + 280000*ln2^3*z2*z3 + 1512000*ln2^2*sinf*z2*z3 + 
    3561600*ln2*z2^2*z3 + 2694600*sinf*z2^2*z3 + 756000*ln2^2*z3^2 - 
    4320000*ln2*sinf*z3^2 + 4037250*z2*z3^2 + 21010500*ln2*z2*z5 + 
    11779500*sinf*z2*z5 + 12823125*z3*z5 - 21870000*sinf*z7)/672000, 
 H[1, 0, 0, -1, 0, 1, -1, -1, 1] -> 
  (-1290240*li4half^2 - 107520*li4half*ln2^4 - 2240*ln2^8 + 518400*ln2^2*s6 + 
    288000*ln2*s7a - 1244160*ln2*s7b + 437850*s8a + 6693120*s8b - 
    241920*s8c + 1532160*s8d + 184320*ln2*s6*sinf + 380160*s7a*sinf - 
    587520*s7b*sinf + 887040*li4half*ln2^2*z2 + 36960*ln2^6*z2 - 
    3991680*s6*z2 - 322560*li5half*sinf*z2 + 2688*ln2^5*sinf*z2 + 
    1604736*li4half*z2^2 - 74256*ln2^4*z2^2 - 26880*ln2^3*sinf*z2^2 - 
    428832*ln2^2*z2^3 - 359424*ln2*sinf*z2^3 - 498096*z2^4 - 
    2661120*li5half*z3 - 2540160*li4half*ln2*z3 - 83664*ln2^5*z3 - 
    645120*li4half*sinf*z3 - 26880*ln2^4*sinf*z3 + 624960*ln2^3*z2*z3 + 
    433440*ln2^2*sinf*z2*z3 + 604152*ln2*z2^2*z3 + 456192*sinf*z2^2*z3 - 
    171720*ln2^2*z3^2 - 124560*ln2*sinf*z3^2 + 132300*z2*z3^2 + 
    1223880*ln2^3*z5 + 546840*ln2^2*sinf*z5 + 4818960*ln2*z2*z5 + 
    2082420*sinf*z2*z5 + 1401435*z3*z5 - 8370270*ln2*z7 - 2919060*sinf*z7)/
   161280, H[1, 0, 0, -1, 0, 0, 1, 1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 1428525*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf - 
    1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 3024000*li4half*z2^2 + 
    756000*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 + 123156*z2^4 + 
    3528000*li4half*ln2*z3 + 147000*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    147000*ln2^4*sinf*z3 - 882000*ln2^3*z2*z3 - 882000*ln2^2*sinf*z2*z3 - 
    2646000*ln2*z2^2*z3 - 2872800*sinf*z2^2*z3 + 1543500*ln2^2*z3^2 + 
    2520000*ln2*sinf*z3^2 - 1543500*z2*z3^2 - 11151000*sinf*z2*z5 + 
    8544375*z3*z5 + 24381000*sinf*z7)/1008000, 
 H[1, 0, 0, -1, 0, 0, 1, 0, 1] -> (158725*s8a - 268800*li4half*z2^2 - 
    11200*ln2^4*z2^2 + 67200*ln2^2*z2^3 + 120796*z2^4 - 235200*ln2*z2^2*z3 + 
    88200*sinf*z2^2*z3 + 105000*z2*z3^2 - 368375*z3*z5 - 336000*sinf*z7)/
   112000, H[1, 0, 0, -1, 0, 0, 1, -1, 1] -> 
  (-43680000*ln2^2*s6 + 33600000*ln2*s7a - 22848000*ln2*s7b + 70862925*s8a + 
    341712000*s8b + 48384000*s8c + 36288000*s8d + 4032000*ln2*s6*sinf + 
    24192000*s7a*sinf - 32256000*s7b*sinf - 129024000*s6*z2 + 
    2788800*li4half*z2^2 + 116200*ln2^4*z2^2 + 11029200*ln2^2*z2^3 - 
    11440800*ln2*sinf*z2^3 - 2030772*z2^4 - 72576000*li5half*z3 + 
    16464000*li4half*ln2*z3 + 1290800*ln2^5*z3 - 10164000*ln2^3*z2*z3 - 
    59304000*ln2*z2^2*z3 + 9273600*sinf*z2^2*z3 + 29904000*ln2^2*z3^2 + 
    19656000*ln2*sinf*z3^2 - 46872000*z2*z3^2 + 54684000*ln2^3*z5 + 
    54684000*ln2^2*sinf*z5 - 39669000*ln2*z2*z5 + 95707500*sinf*z2*z5 + 
    118676250*z3*z5 - 134515500*ln2*z7 - 150281250*sinf*z7)/4704000, 
 H[1, 0, 0, -1, 0, 0, 0, 1, 1] -> (21735*s8a + 10752*li4half*z2^2 + 
    448*ln2^4*z2^2 - 2688*ln2^2*z2^3 + 468*z2^4 + 9408*ln2*z2^2*z3 + 
    4032*sinf*z2^2*z3 + 13860*z2*z3^2 + 126000*sinf*z2*z5 - 73605*z3*z5 - 
    224805*sinf*z7)/13440, H[1, 0, 0, -1, 0, 0, 0, 0, 1] -> 
  (-36225*s8a - 70916*z2^4 + 133875*z3*z5 + 826875*sinf*z7)/56000, 
 H[1, 0, 0, -1, 0, 0, 0, -1, 1] -> 
  (-15525*s8a - 100800*s8b + 6720*li4half*z2^2 + 280*ln2^4*z2^2 - 
    1680*ln2^2*z2^3 - 15156*z2^4 + 5880*ln2*z2^2*z3 + 2520*sinf*z2^2*z3 + 
    4950*z2*z3^2 + 7800*sinf*z2*z5 + 44475*z3*z5 + 200025*ln2*z7 - 
    20400*sinf*z7)/9600, H[1, 0, 0, -1, 0, 0, -1, 1, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 + 8064000*ln2^2*s6 - 
    5575500*s8a - 29937600*s8b - 7660800*s8c - 806400*s8d + 
    3628800*ln2*s6*sinf - 3628800*s7a*sinf + 4838400*s7b*sinf - 
    1411200*li4half*ln2^2*z2 - 58800*ln2^6*z2 + 1612800*s6*z2 - 
    725760*li4half*z2^2 + 146160*ln2^4*z2^2 - 1320480*ln2^2*z2^3 + 
    2585520*ln2*sinf*z2^3 - 1935378*z2^4 + 1612800*li5half*z3 - 
    13440*ln2^5*z3 + 134400*ln2^3*z2*z3 + 6807780*ln2*z2^2*z3 - 
    1391040*sinf*z2^2*z3 - 510300*ln2^2*z3^2 - 4536000*ln2*sinf*z3^2 + 
    8612100*z2*z3^2 - 5468400*ln2^3*z5 - 16405200*ln2^2*sinf*z5 + 
    28406700*ln2*z2*z5 - 8523900*sinf*z2*z5 - 10412325*z3*z5 + 
    12779550*sinf*z7)/1411200, H[1, 0, 0, -1, 0, 0, -1, 0, 1] -> 
  (-14175*s8a + 144000*s6*z2 - 33600*li4half*z2^2 - 1400*ln2^4*z2^2 + 
    8400*ln2^2*z2^3 + 33782*z2^4 - 29400*ln2*z2^2*z3 - 12600*sinf*z2^2*z3 - 
    69000*z2*z3^2 - 279000*ln2*z2*z5 - 93000*sinf*z2*z5 + 106875*z3*z5 + 
    190875*sinf*z7)/16000, H[1, 0, 0, -1, 0, 0, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    21672000*ln2^2*s6 - 43344000*ln2*s7a + 41328000*ln2*s7b - 66824100*s8a - 
    384048000*s8b - 41328000*s8c - 43344000*s8d - 17136000*ln2*s6*sinf - 
    25200000*s7a*sinf + 17136000*s7b*sinf - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 + 150192000*s6*z2 - 19252800*li4half*z2^2 + 
    79800*ln2^4*z2^2 - 3855600*ln2^2*z2^3 + 2998800*ln2*sinf*z2^3 + 
    1107864*z2^4 + 86688000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    306600*ln2^5*z3 + 1050000*ln2^3*z2*z3 + 33837300*ln2*z2^2*z3 - 
    4926600*sinf*z2^2*z3 - 16285500*ln2^2*z3^2 - 4819500*ln2*sinf*z3^2 + 
    34303500*z2*z3^2 - 54684000*ln2^3*z5 - 41076000*ln2*z2*z5 - 
    67536000*sinf*z2*z5 - 78820875*z3*z5 + 293005125*ln2*z7 + 
    96090750*sinf*z7)/7056000, H[1, 0, 0, -1, 0, -1, 1, 1, 1] -> 
  (70560000*li4half^2 + 5880000*li4half*ln2^4 + 122500*ln2^8 + 
    18144000*ln2^2*s6 - 26414325*s8a - 159264000*s8b - 36288000*s8c + 
    1008000*s8d - 83664000*ln2*s6*sinf + 83664000*s7a*sinf + 
    62496000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    15624000*s6*z2 + 56448000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 - 
    142329600*li4half*z2^2 - 6812400*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 + 
    22957200*ln2^2*z2^3 + 29030400*ln2*sinf*z2^3 + 5068908*z2^4 - 
    114912000*li5half*z3 + 49392000*li4half*ln2*z3 + 3015600*ln2^5*z3 + 
    134064000*li4half*sinf*z3 + 5586000*ln2^4*sinf*z3 - 3402000*ln2^3*z2*z3 - 
    46746000*ln2^2*sinf*z2*z3 - 83865600*ln2*z2^2*z3 - 
    98406000*sinf*z2^2*z3 + 37516500*ln2^2*z3^2 + 104580000*ln2*sinf*z3^2 - 
    346500*z2*z3^2 + 11392500*ln2^3*z5 + 20506500*ln2^2*sinf*z5 + 
    74686500*ln2*z2*z5 - 296698500*sinf*z2*z5 + 331128000*z3*z5 + 
    597460500*sinf*z7)/14112000, H[1, 0, 0, -1, 0, -1, 1, 0, 1] -> 
  (-2688000*ln2^2*s6 + 1692075*s8a - 1680000*s8b + 5376000*s8c - 
    5376000*s8d + 1920000*ln2*s6*sinf - 1920000*s7a*sinf - 1920000*s7b*sinf + 
    9744000*s6*z2 - 1713600*li4half*z2^2 - 71400*ln2^4*z2^2 + 
    294000*ln2^2*z2^3 - 228000*ln2*sinf*z2^3 + 3422512*z2^4 + 
    10752000*li5half*z3 + 4704000*li4half*ln2*z3 + 106400*ln2^5*z3 - 
    3360000*li4half*sinf*z3 - 140000*ln2^4*sinf*z3 - 280000*ln2^3*z2*z3 + 
    840000*ln2^2*sinf*z2*z3 - 1503600*ln2*z2^2*z3 + 3303000*sinf*z2^2*z3 - 
    756000*ln2^2*z3^2 - 2400000*ln2*sinf*z3^2 - 1627500*z2*z3^2 - 
    14500500*ln2*z2*z5 + 5640000*sinf*z2*z5 - 17075625*z3*z5 - 
    16964250*sinf*z7)/672000, H[1, 0, 0, -1, 0, -1, 1, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    14208000*ln2^2*s6 + 6816000*ln2*s7a - 3264000*ln2*s7b + 19979925*s8a + 
    91392000*s8b + 18144000*s8c + 5376000*s8d + 2592000*ln2*s6*sinf + 
    768000*s7a*sinf - 1920000*s7b*sinf - 8064000*li4half*ln2^2*z2 - 
    336000*ln2^6*z2 - 24192000*s6*z2 + 5376000*li5half*sinf*z2 + 
    8064000*li4half*ln2*sinf*z2 + 291200*ln2^5*sinf*z2 - 
    5644800*li4half*z2^2 + 1276800*ln2^4*z2^2 - 1568000*ln2^3*sinf*z2^2 + 
    6324000*ln2^2*z2^3 - 732000*ln2*sinf*z2^3 + 3370428*z2^4 - 
    17472000*li5half*z3 + 7056000*li4half*ln2*z3 + 439600*ln2^5*z3 - 
    1344000*li4half*sinf*z3 - 56000*ln2^4*sinf*z3 - 6748000*ln2^3*z2*z3 + 
    2856000*ln2^2*sinf*z2*z3 - 17873400*ln2*z2^2*z3 + 1484400*sinf*z2^2*z3 + 
    4383000*ln2^2*z3^2 - 2211000*ln2*sinf*z3^2 - 15918000*z2*z3^2 + 
    8680000*ln2^3*z5 + 2604000*ln2^2*sinf*z5 - 41274000*ln2*z2*z5 + 
    957000*sinf*z2*z5 + 27706875*z3*z5 - 19851750*ln2*z7 - 12029250*sinf*z7)/
   1344000, H[1, 0, 0, -1, 0, -1, 0, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 335475*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 5040000*s6*z2 + 
    13204800*li4half*z2^2 + 46200*ln2^4*z2^2 - 3301200*ln2^2*z2^3 - 
    1411200*ln2*sinf*z2^3 - 924936*z2^4 - 14112000*li4half*ln2*z3 - 
    588000*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 
    3528000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 + 11554200*ln2*z2^2*z3 + 
    11302200*sinf*z2^2*z3 - 6174000*ln2^2*z3^2 - 10080000*ln2*sinf*z3^2 + 
    8410500*z2*z3^2 + 9765000*ln2*z2*z5 + 37863000*sinf*z2*z5 - 
    36130500*z3*z5 - 85483125*sinf*z7)/2016000, 
 H[1, 0, 0, -1, 0, -1, 0, 0, 1] -> (289800*s8a + 235200*li4half*z2^2 + 
    9800*ln2^4*z2^2 - 58800*ln2^2*z2^3 - 363152*z2^4 + 205800*ln2*z2^2*z3 - 
    382200*sinf*z2^2*z3 - 385000*z2*z3^2 + 1999375*z3*z5 + 1317750*sinf*z7)/
   112000, H[1, 0, 0, -1, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    38304000*ln2^2*s6 - 76608000*ln2*s7a - 76608000*ln2*s7b + 46527075*s8a - 
    95760000*s8b + 76608000*s8c - 76608000*s8d + 20160000*ln2*s6*sinf - 
    20160000*s7a*sinf - 20160000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 135576000*s6*z2 + 30542400*li4half*z2^2 - 
    2255400*ln2^4*z2^2 - 22957200*ln2^2*z2^3 - 3528000*ln2*sinf*z2^3 + 
    1933692*z2^4 + 153216000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    5392800*ln2^5*z3 + 37464000*ln2^3*z2*z3 + 77956200*ln2*z2^2*z3 + 
    3591000*sinf*z2^2*z3 - 91098000*ln2^2*z3^2 + 5670000*ln2*sinf*z3^2 - 
    56684250*z2*z3^2 + 29389500*ln2*z2*z5 + 54148500*sinf*z2*z5 - 
    28287000*z3*z5 - 344436750*ln2*z7 - 110100375*sinf*z7)/14112000, 
 H[1, 0, 0, -1, 0, -1, -1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    55440000*ln2^2*s6 - 61908525*s8a - 492912000*s8b - 26208000*s8c - 
    93744000*s8d + 40320000*ln2*s6*sinf - 40320000*s7a*sinf - 
    12096000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 
    205128000*s6*z2 + 56448000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 + 
    5241600*li4half*z2^2 - 4191600*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 - 
    31122000*ln2^2*z2^3 + 24494400*ln2*sinf*z2^3 + 17350596*z2^4 + 
    74592000*li5half*z3 - 24696000*li4half*ln2*z3 - 1650600*ln2^5*z3 - 
    52920000*li4half*sinf*z3 - 2205000*ln2^4*sinf*z3 + 30912000*ln2^3*z2*z3 + 
    84205800*ln2*z2^2*z3 + 40345200*sinf*z2^2*z3 - 46147500*ln2^2*z3^2 - 
    50400000*ln2*sinf*z3^2 + 96610500*z2*z3^2 - 43291500*ln2^3*z5 - 
    75190500*ln2^2*sinf*z5 + 174321000*ln2*z2*z5 + 66402000*sinf*z2*z5 - 
    315189000*z3*z5 - 300958875*sinf*z7)/14112000, 
 H[1, 0, 0, -1, 0, -1, -1, 0, 1] -> 
  (1074675*s8a + 4368000*s6*z2 - 168000*li4half*z2^2 - 7000*ln2^4*z2^2 + 
    42000*ln2^2*z2^3 - 622852*z2^4 - 147000*ln2*z2^2*z3 - 
    2011800*sinf*z2^2*z3 - 4032000*z2*z3^2 - 8463000*ln2*z2*z5 - 
    2278500*sinf*z2*z5 + 13185375*z3*z5 + 10332000*sinf*z7)/672000, 
 H[1, 0, 0, -1, 0, -1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    122976000*ln2^2*s6 - 245952000*ln2*s7a + 22176000*ln2*s7b - 
    151503975*s8a - 1256472000*s8b - 22176000*s8c - 245952000*s8d - 
    14112000*ln2*s6*sinf - 84672000*s7a*sinf + 14112000*s7b*sinf + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 675360000*s6*z2 - 
    26611200*li4half*z2^2 - 2872800*ln2^4*z2^2 - 42537600*ln2^2*z2^3 + 
    2469600*ln2*sinf*z2^3 + 30418344*z2^4 + 491904000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 6157200*ln2^5*z3 + 53340000*ln2^3*z2*z3 + 
    209903400*ln2*z2^2*z3 - 4939200*sinf*z2^2*z3 - 175329000*ln2^2*z3^2 - 
    3969000*ln2*sinf*z3^2 + 30303000*z2*z3^2 - 173166000*ln2^3*z5 - 
    102690000*ln2*z2*z5 - 122157000*sinf*z2*z5 - 382465125*z3*z5 + 
    249535125*ln2*z7 + 134119125*sinf*z7)/28224000, 
 H[1, 0, 0, -1, -1, 1, 1, 1, 1] -> (16934400*li4half^2 + 56448000*li8half + 
    470400*li4half*ln2^4 - 8400*ln2^8 - 2217600*ln2^2*s6 + 27954675*s8a + 
    273873600*s8b + 4435200*s8c + 52012800*s8d + 45158400*li7half*sinf - 
    8960*ln2^7*sinf + 2822400*ln2*s6*sinf - 2822400*s7a*sinf - 
    2822400*li4half*ln2^2*z2 + 78400*ln2^6*z2 - 132249600*s6*z2 - 
    28224000*li5half*sinf*z2 + 423360*ln2^5*sinf*z2 + 17740800*li4half*z2^2 - 
    742560*ln2^4*z2^2 - 1270080*ln2^3*sinf*z2^2 - 2005920*ln2^2*z2^3 - 
    2217600*ln2*sinf*z2^3 - 15578424*z2^4 - 47577600*li5half*z3 + 
    9878400*li4half*ln2*z3 + 396480*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    705600*ln2^4*sinf*z3 - 3141600*ln2^3*z2*z3 + 4233600*ln2^2*sinf*z2*z3 - 
    14432040*ln2*z2^2*z3 + 2892960*sinf*z2^2*z3 + 4315500*ln2^2*z3^2 - 
    3528000*ln2*sinf*z3^2 - 21892500*z2*z3^2 - 2734200*ln2^2*sinf*z5 - 
    13305600*ln2*z2*z5 + 21609000*sinf*z2*z5 + 35149275*z3*z5 - 
    36316350*sinf*z7)/5644800, H[1, 0, 0, -1, -1, 1, 1, 0, 1] -> 
  (3696000*ln2^2*s6 - 22909425*s8a - 221256000*s8b - 7392000*s8c - 
    39648000*s8d - 17472000*ln2*s6*sinf + 17472000*s7a*sinf - 
    1344000*s7b*sinf - 28224000*li6half*z2 - 4704000*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 + 95760000*s6*z2 - 25804800*li4half*z2^2 + 
    688800*ln2^4*z2^2 + 3528000*ln2^3*sinf*z2^2 + 4300800*ln2^2*z2^3 + 
    2251200*ln2*sinf*z2^3 + 12348312*z2^4 + 79296000*li5half*z3 + 
    18816000*li4half*ln2*z3 + 123200*ln2^5*z3 + 25872000*li4half*sinf*z3 + 
    1078000*ln2^4*sinf*z3 - 2212000*ln2^3*z2*z3 - 8526000*ln2^2*sinf*z2*z3 + 
    18055800*ln2*z2^2*z3 - 11197200*sinf*z2^2*z3 + 2068500*ln2^2*z3^2 + 
    22869000*ln2*sinf*z3^2 + 16348500*z2*z3^2 + 18228000*ln2^2*sinf*z5 + 
    22176000*ln2*z2*z5 + 4536000*sinf*z2*z5 - 53657625*z3*z5 + 
    8179500*sinf*z7)/4704000, H[1, 0, 0, -1, -1, 1, 1, -1, 1] -> 
  (-56448000*li4half^2 - 1128960000*li8half - 338688000*li7half*ln2 - 
    56448000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 254800*ln2^8 + 
    308448000*ln2^2*s6 - 84672000*ln2*s7a + 409248000*ln2*s7b - 
    937043100*s8a - 5600448000*s8b - 673344000*s8c - 568512000*s8d - 
    790272000*li7half*sinf - 112896000*li6half*ln2*sinf - 
    28224000*ln2*s6*sinf - 197568000*s7a*sinf + 352800000*s7b*sinf + 
    56448000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 2900800*ln2^6*z2 + 
    1870848000*s6*z2 - 112896000*li5half*sinf*z2 - 
    169344000*li4half*ln2*sinf*z2 - 7056000*ln2^5*sinf*z2 - 
    144748800*li4half*z2^2 + 10903200*ln2^4*z2^2 + 18580800*ln2^3*sinf*z2^2 - 
    50047200*ln2^2*z2^3 + 9424800*ln2*sinf*z2^3 + 74848824*z2^4 + 
    1278144000*li5half*z3 + 395136000*li4half*ln2*z3 + 9928800*ln2^5*z3 + 
    112896000*li4half*sinf*z3 + 8820000*ln2^4*sinf*z3 - 
    25200000*ln2^3*z2*z3 - 58212000*ln2^2*sinf*z2*z3 + 
    472701600*ln2*z2^2*z3 - 152233200*sinf*z2^2*z3 + 38902500*ln2^2*z3^2 - 
    134505000*ln2*sinf*z3^2 + 685597500*z2*z3^2 - 478485000*ln2^3*z5 - 
    533169000*ln2^2*sinf*z5 + 802431000*ln2*z2*z5 - 931392000*sinf*z2*z5 - 
    1334103750*z3*z5 + 2728411875*ln2*z7 + 2500414875*sinf*z7)/56448000, 
 H[1, 0, 0, -1, -1, 1, 0, 1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    5443200*ln2^2*s6 + 2953125*s8a - 4670400*s8b + 10886400*s8c - 
    10886400*s8d + 268800*ln2*s6*sinf - 268800*s7a*sinf - 9676800*s7b*sinf + 
    11289600*li6half*z2 + 1881600*li4half*ln2^2*z2 + 94080*ln2^6*z2 + 
    29299200*s6*z2 + 15052800*li5half*sinf*z2 - 125440*ln2^5*sinf*z2 + 
    11558400*li4half*z2^2 + 481600*ln2^4*z2^2 + 1254400*ln2^3*sinf*z2^2 - 
    2247840*ln2^2*z2^3 + 1814400*ln2*sinf*z2^3 + 2825216*z2^4 - 
    8332800*li5half*z3 - 15052800*li4half*ln2*z3 - 557760*ln2^5*z3 - 
    9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 + 1422400*ln2^3*z2*z3 + 
    705600*ln2^2*sinf*z2*z3 - 435960*ln2*z2^2*z3 + 9285360*sinf*z2^2*z3 - 
    6675900*ln2^2*z3^2 - 1159200*ln2*sinf*z3^2 - 7503300*z2*z3^2 + 
    9114000*ln2^2*sinf*z5 - 32659200*ln2*z2*z5 + 18076800*sinf*z2*z5 - 
    7878675*z3*z5 - 68314050*sinf*z7)/1881600, 
 H[1, 0, 0, -1, -1, 1, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 
    2520000*ln2^2*s6 - 1245825*s8a + 8568000*s8b - 5040000*s8c + 
    5040000*s8d + 2592000*ln2*s6*sinf - 2592000*s7a*sinf + 3456000*s7b*sinf + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 - 11592000*s6*z2 + 
    5140800*li4half*z2^2 + 88200*ln2^4*z2^2 - 2293200*ln2^2*z2^3 - 
    194400*ln2*sinf*z2^3 - 3538182*z2^4 - 6048000*li5half*z3 - 
    6552000*li4half*ln2*z3 - 222600*ln2^5*z3 - 1512000*li4half*sinf*z3 - 
    63000*ln2^4*sinf*z3 + 1134000*ln2^3*z2*z3 + 378000*ln2^2*sinf*z2*z3 + 
    4737600*ln2*z2^2*z3 - 1459800*sinf*z2^2*z3 - 614250*ln2^2*z3^2 - 
    4563000*ln2*sinf*z3^2 + 3165750*z2*z3^2 - 5859000*ln2^2*sinf*z5 + 
    15120000*ln2*z2*z5 - 10341000*sinf*z2*z5 + 3283875*z3*z5 + 
    23130000*sinf*z7)/1008000, H[1, 0, 0, -1, -1, 1, 0, -1, 1] -> 
  (-395136000*li4half^2 - 32928000*li4half*ln2^4 - 686000*ln2^8 + 
    147168000*ln2^2*s6 - 110880000*ln2*s7a - 223776000*ln2*s7b - 
    9301950*s8a + 245952000*s8b + 40320000*s8c - 40320000*s8d + 
    2016000*ln2*s6*sinf + 110880000*s7a*sinf - 86688000*s7b*sinf + 
    84672000*li6half*z2 + 169344000*li4half*ln2^2*z2 + 7173600*ln2^6*z2 + 
    80640000*s6*z2 + 364492800*li4half*z2^2 - 4216800*ln2^4*z2^2 - 
    151754400*ln2^2*z2^3 - 54633600*ln2*sinf*z2^3 - 22309032*z2^4 + 
    80640000*li5half*z3 - 663264000*li4half*ln2*z3 - 28308000*ln2^5*z3 - 
    127008000*li4half*sinf*z3 - 5292000*ln2^4*sinf*z3 + 
    160188000*ln2^3*z2*z3 + 19404000*ln2^2*sinf*z2*z3 + 
    325080000*ln2*z2^2*z3 + 78989400*sinf*z2^2*z3 - 225634500*ln2^2*z3^2 + 
    6741000*ln2*sinf*z3^2 + 630000*z2*z3^2 + 109368000*ln2^3*z5 + 
    191394000*ln2^2*sinf*z5 + 539910000*ln2*z2*z5 + 215176500*sinf*z2*z5 - 
    398955375*z3*z5 - 1459410750*ln2*z7 - 299407500*sinf*z7)/28224000, 
 H[1, 0, 0, -1, -1, 1, -1, 1, 1] -> 
  (-42336000*li4half^2 - 282240000*li8half - 56448000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 193900*ln2^8 - 
    16632000*ln2^2*s6 - 233881200*s8a - 1500408000*s8b - 72576000*s8c - 
    237888000*s8d - 112896000*li7half*sinf - 28224000*li5half*ln2^2*sinf + 
    257600*ln2^7*sinf + 40320000*ln2*s6*sinf - 40320000*s7a*sinf - 
    96768000*s7b*sinf + 56448000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 2058000*ln2^6*z2 + 683928000*s6*z2 - 
    42336000*li4half*ln2*sinf*z2 - 4586400*ln2^5*sinf*z2 + 
    3931200*li4half*z2^2 + 21273000*ln2^4*z2^2 + 9996000*ln2^3*sinf*z2^2 - 
    16480800*ln2^2*z2^3 - 16178400*ln2*sinf*z2^3 + 76448088*z2^4 + 
    433440000*li5half*z3 + 28224000*li4half*ln2*z3 - 378000*ln2^5*z3 - 
    38808000*li4half*sinf*z3 + 441000*ln2^4*sinf*z3 + 12600000*ln2^3*z2*z3 + 
    2646000*ln2^2*sinf*z2*z3 + 258804000*ln2*z2^2*z3 + 
    89119800*sinf*z2^2*z3 - 6993000*ln2^2*z3^2 - 38052000*ln2*sinf*z3^2 + 
    147483000*z2*z3^2 + 22785000*ln2^3*z5 + 88861500*ln2^2*sinf*z5 + 
    149373000*ln2*z2*z5 + 362092500*sinf*z2*z5 - 725240250*z3*z5 - 
    721893375*sinf*z7)/28224000, H[1, 0, 0, -1, -1, 1, -1, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    1680000*ln2^2*s6 + 15118425*s8a + 87360000*s8b + 3360000*s8c + 
    16800000*s8d + 4224000*ln2*s6*sinf - 4224000*s7a*sinf + 
    4512000*s7b*sinf - 4032000*li5half*ln2*z2 + 3360000*li4half*ln2^2*z2 + 
    173600*ln2^6*z2 - 45864000*s6*z2 - 1344000*li5half*sinf*z2 + 
    11200*ln2^5*sinf*z2 + 8904000*li4half*z2^2 - 553000*ln2^4*z2^2 - 
    1624000*ln2^3*sinf*z2^2 - 184800*ln2^2*z2^3 + 288000*ln2*sinf*z2^3 - 
    7522872*z2^4 - 29232000*li5half*z3 - 12432000*li4half*ln2*z3 - 
    274400*ln2^5*z3 - 5040000*li4half*sinf*z3 - 210000*ln2^4*sinf*z3 + 
    1848000*ln2^3*z2*z3 + 1848000*ln2^2*sinf*z2*z3 - 6610800*ln2*z2^2*z3 - 
    2989800*sinf*z2^2*z3 - 2824500*ln2^2*z3^2 - 7632000*ln2*sinf*z3^2 - 
    8368500*z2*z3^2 - 8463000*ln2^2*sinf*z5 - 5197500*ln2*z2*z5 - 
    11899500*sinf*z2*z5 + 50352750*z3*z5 + 33172500*sinf*z7)/1344000, 
 H[1, 0, 0, -1, -1, 1, -1, -1, 1] -> 
  (-135475200*li4half^2 - 225792000*li8half - 112896000*li7half*ln2 + 
    11289600*li6half*ln2^2 + 7526400*li5half*ln2^3 - 13171200*li4half*ln2^4 - 
    343840*ln2^8 + 96768000*ln2^2*s6 - 54028800*ln2*s7a - 56851200*ln2*s7b - 
    20730150*s8a + 13708800*s8b - 17740800*s8c + 29030400*s8d - 
    67737600*li7half*sinf - 22579200*li6half*ln2*sinf + 
    11289600*li5half*ln2^2*sinf - 112000*ln2^7*sinf + 19756800*ln2*s6*sinf + 
    5644800*s7a*sinf - 2822400*s7b*sinf + 11289600*li6half*z2 - 
    11289600*li5half*ln2*z2 + 79027200*li4half*ln2^2*z2 + 3951360*ln2^6*z2 - 
    76406400*s6*z2 - 22579200*li5half*sinf*z2 + 1317120*ln2^5*sinf*z2 + 
    133660800*li4half*z2^2 - 11412240*ln2^4*z2^2 - 3433920*ln2^3*sinf*z2^2 - 
    50934240*ln2^2*z2^3 - 24141600*ln2*sinf*z2^3 - 14506488*z2^4 - 
    27014400*li5half*z3 - 248371200*li4half*ln2*z3 - 10946880*ln2^5*z3 - 
    49392000*li4half*sinf*z3 - 2881200*ln2^4*sinf*z3 + 66427200*ln2^3*z2*z3 + 
    16228800*ln2^2*sinf*z2*z3 + 112986720*ln2*z2^2*z3 + 
    20638800*sinf*z2^2*z3 - 99659700*ln2^2*z3^2 - 29017800*ln2*sinf*z3^2 + 
    26579700*z2*z3^2 - 6379800*ln2^3*z5 - 5468400*ln2^2*sinf*z5 + 
    233982000*ln2*z2*z5 + 5997600*sinf*z2*z5 + 5043150*z3*z5 - 
    261164925*ln2*z7 + 99721125*sinf*z7)/11289600, 
 H[1, 0, 0, -1, -1, 0, 1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 722925*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 3830400*li4half*z2^2 - 
    411600*ln2^4*z2^2 + 957600*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 + 
    507348*z2^4 + 8064000*li5half*z3 + 1008000*li4half*ln2*z3 - 
    25200*ln2^5*z3 + 4032000*li4half*sinf*z3 + 168000*ln2^4*sinf*z3 + 
    420000*ln2^3*z2*z3 - 1008000*ln2^2*sinf*z2*z3 - 3351600*ln2*z2^2*z3 - 
    2998800*sinf*z2^2*z3 + 441000*ln2^2*z3^2 + 2961000*ln2*sinf*z3^2 - 
    220500*z2*z3^2 - 7182000*sinf*z2*z5 + 1220625*z3*z5 + 17435250*sinf*z7)/
   2016000, H[1, 0, 0, -1, -1, 0, 1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 152775*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf - 
    8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 - 7459200*li4half*z2^2 + 
    697200*ln2^4*z2^2 + 1864800*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 + 
    1329564*z2^4 - 16128000*li5half*z3 + 12096000*li4half*ln2*z3 + 
    638400*ln2^5*z3 - 8064000*li4half*sinf*z3 - 336000*ln2^4*sinf*z3 - 
    4368000*ln2^3*z2*z3 + 2016000*ln2^2*sinf*z2*z3 - 6526800*ln2*z2^2*z3 + 
    7761600*sinf*z2^2*z3 + 5292000*ln2^2*z3^2 - 4788000*ln2*sinf*z3^2 + 
    157500*z2*z3^2 + 23688000*sinf*z2*z5 + 10591875*z3*z5 - 57810375*sinf*z7)/
   2016000, H[1, 0, 0, -1, -1, 0, 1, -1, 1] -> 
  (366912000*li4half^2 + 30576000*li4half*ln2^4 + 637000*ln2^8 + 
    7056000*ln2^2*s6 + 10080000*ln2*s7a - 46368000*ln2*s7b + 72675225*s8a + 
    286272000*s8b - 6048000*s8c + 90720000*s8d + 78624000*ln2*s6*sinf - 
    50400000*s7a*sinf - 106848000*s7b*sinf + 169344000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1999200*ln2^6*z2 - 237888000*s6*z2 + 
    84672000*li4half*ln2*sinf*z2 + 3528000*ln2^5*sinf*z2 - 
    262684800*li4half*z2^2 - 16237200*ln2^4*z2^2 - 21168000*ln2^3*sinf*z2^2 + 
    74642400*ln2^2*z2^3 - 37648800*ln2*sinf*z2^3 + 1360116*z2^4 - 
    294336000*li5half*z3 + 282240000*li4half*ln2*z3 + 14212800*ln2^5*z3 + 
    28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 - 21000000*ln2^3*z2*z3 + 
    67032000*ln2^2*sinf*z2*z3 - 139797000*ln2*z2^2*z3 + 
    26749800*sinf*z2^2*z3 + 86877000*ln2^2*z3^2 + 3591000*ln2*sinf*z3^2 - 
    50589000*z2*z3^2 + 54684000*ln2^3*z5 + 54684000*ln2^2*sinf*z5 + 
    52920000*ln2*z2*z5 + 327316500*sinf*z2*z5 + 498834000*z3*z5 - 
    382614750*ln2*z7 - 659720250*sinf*z7)/28224000, 
 H[1, 0, 0, -1, -1, 0, 0, 1, 1] -> (-403200*li4half^2 - 33600*li4half*ln2^4 - 
    700*ln2^8 - 806400*ln2*s6*sinf + 806400*s7a*sinf + 806400*s7b*sinf + 
    201600*li4half*ln2^2*z2 + 8400*ln2^6*z2 - 362880*li4half*z2^2 - 
    40320*ln2^4*z2^2 + 90720*ln2^2*z2^3 + 141120*ln2*sinf*z2^3 + 
    106992*z2^4 + 806400*li5half*z3 + 100800*li4half*ln2*z3 - 2520*ln2^5*z3 + 
    1108800*li4half*sinf*z3 + 46200*ln2^4*sinf*z3 + 42000*ln2^3*z2*z3 - 
    277200*ln2^2*sinf*z2*z3 - 317520*ln2*z2^2*z3 - 894600*sinf*z2^2*z3 + 
    44100*ln2^2*z3^2 + 743400*ln2*sinf*z3^2 + 132300*z2*z3^2 - 
    2368800*sinf*z2*z5 - 491400*z3*z5 + 5775525*sinf*z7)/201600, 
 H[1, 0, 0, -1, -1, 0, 0, 0, 1] -> (-217350*s8a - 739200*li4half*z2^2 - 
    30800*ln2^4*z2^2 + 184800*ln2^2*z2^3 + 386184*z2^4 - 646800*ln2*z2^2*z3 + 
    147000*sinf*z2^2*z3 + 199500*z2*z3^2 - 603750*z3*z5 - 658875*sinf*z7)/
   336000, H[1, 0, 0, -1, -1, 0, 0, -1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 2520000*ln2^2*s6 + 
    5040000*ln2*s7a + 5040000*ln2*s7b - 3025575*s8a - 2016000*s8b - 
    5040000*s8c + 5040000*s8d - 1008000*ln2*s6*sinf + 1008000*s7a*sinf + 
    1008000*s7b*sinf - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 
    10080000*s6*z2 - 1713600*li4half*z2^2 + 54600*ln2^4*z2^2 + 
    1436400*ln2^2*z2^3 + 176400*ln2*sinf*z2^3 - 1893582*z2^4 - 
    7056000*li5half*z3 + 6552000*li4half*ln2*z3 + 331800*ln2^5*z3 + 
    1512000*li4half*sinf*z3 + 63000*ln2^4*sinf*z3 - 2226000*ln2^3*z2*z3 - 
    378000*ln2^2*sinf*z2*z3 - 4869900*ln2*z2^2*z3 - 1077300*sinf*z2^2*z3 + 
    6016500*ln2^2*z3^2 + 1039500*ln2*sinf*z3^2 + 4110750*z2*z3^2 + 
    315000*ln2*z2*z5 - 1984500*sinf*z2*z5 + 6063750*z3*z5 + 39162375*ln2*z7 + 
    5284125*sinf*z7)/1008000, H[1, 0, 0, -1, -1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    2016000*ln2^2*s6 + 5936175*s8a - 336000*s8b + 8736000*s8c - 
    13440000*s8d - 24864000*ln2*s6*sinf + 24864000*s7a*sinf + 
    29568000*s7b*sinf - 28224000*li5half*ln2*z2 + 235200*ln2^6*z2 + 
    26880000*s6*z2 - 14112000*li4half*ln2*sinf*z2 - 588000*ln2^5*sinf*z2 + 
    21067200*li4half*z2^2 + 2053800*ln2^4*z2^2 + 3528000*ln2^3*sinf*z2^2 - 
    6426000*ln2^2*z2^3 + 8332800*ln2*sinf*z2^3 + 1241388*z2^4 + 
    57456000*li5half*z3 - 27048000*li4half*ln2*z3 - 1605800*ln2^5*z3 + 
    25872000*li4half*sinf*z3 + 1078000*ln2^4*sinf*z3 - 798000*ln2^3*z2*z3 - 
    18816000*ln2^2*sinf*z2*z3 - 109200*ln2*z2^2*z3 - 27375600*sinf*z2^2*z3 - 
    4683000*ln2^2*z3^2 + 22848000*ln2*sinf*z3^2 - 5082000*z2*z3^2 - 
    3038000*ln2^3*z5 - 9114000*ln2^2*sinf*z5 + 105000*ln2*z2*z5 - 
    95455500*sinf*z2*z5 - 35266875*z3*z5 + 223014750*sinf*z7)/4704000, 
 H[1, 0, 0, -1, -1, 0, -1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 4490325*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf - 
    8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 + 3024000*s6*z2 - 
    9374400*li4half*z2^2 + 617400*ln2^4*z2^2 + 2343600*ln2^2*z2^3 - 
    1411200*ln2*sinf*z2^3 + 5373528*z2^4 - 12096000*li5half*z3 + 
    16128000*li4half*ln2*z3 + 772800*ln2^5*z3 - 6048000*li4half*sinf*z3 - 
    252000*ln2^4*sinf*z3 - 5040000*ln2^3*z2*z3 + 1512000*ln2^2*sinf*z2*z3 - 
    8202600*ln2*z2^2*z3 + 11377800*sinf*z2^2*z3 + 7056000*ln2^2*z3^2 - 
    3024000*ln2*sinf*z3^2 + 913500*z2*z3^2 - 5859000*ln2*z2*z5 + 
    21735000*sinf*z2*z5 - 8733375*z3*z5 - 68709375*sinf*z7)/2016000, 
 H[1, 0, 0, -1, -1, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    5376000*ln2^2*s6 + 10752000*ln2*s7a + 20160000*ln2*s7b - 7494900*s8a - 
    34776000*s8b - 20160000*s8c + 10752000*s8d + 4032000*ln2*s6*sinf - 
    8736000*s7a*sinf - 4032000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 14448000*s6*z2 - 21134400*li4half*z2^2 + 
    883400*ln2^4*z2^2 + 7434000*ln2^2*z2^3 - 705600*ln2*sinf*z2^3 - 
    4632444*z2^4 - 19152000*li5half*z3 + 51744000*li4half*ln2*z3 + 
    2315600*ln2^5*z3 + 1176000*li4half*sinf*z3 + 49000*ln2^4*sinf*z3 - 
    14532000*ln2^3*z2*z3 - 294000*ln2^2*sinf*z2*z3 - 23272200*ln2*z2^2*z3 + 
    100800*sinf*z2^2*z3 + 29358000*ln2^2*z3^2 + 2163000*ln2*sinf*z3^2 + 
    8725500*z2*z3^2 - 6076000*ln2^3*z5 - 3591000*ln2*z2*z5 + 
    22281000*sinf*z2*z5 + 35196000*z3*z5 + 125498625*ln2*z7 - 
    45341625*sinf*z7)/4704000, H[1, 0, 0, -1, -1, -1, 1, 1, 1] -> 
  (-42336000*li4half^2 + 282240000*li8half + 14112000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 60900*ln2^8 - 33264000*ln2^2*s6 + 127146600*s8a + 
    844704000*s8b + 66528000*s8c + 109872000*s8d + 169344000*li7half*sinf + 
    4704000*li4half*ln2^3*sinf + 162400*ln2^7*sinf - 63504000*ln2*s6*sinf + 
    63504000*s7a*sinf - 42336000*li5half*ln2*z2 - 137200*ln2^6*z2 - 
    307944000*s6*z2 - 14112000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*
     z2 - 940800*ln2^5*sinf*z2 + 806400*li4half*z2^2 - 3670800*ln2^4*z2^2 + 
    7056000*ln2^3*sinf*z2^2 + 7030800*ln2^2*z2^3 + 21319200*ln2*sinf*z2^3 - 
    31690044*z2^4 - 117432000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    1713600*ln2^5*z3 + 52920000*li4half*sinf*z3 + 3234000*ln2^4*sinf*z3 - 
    10080000*ln2^3*z2*z3 - 23814000*ln2^2*sinf*z2*z3 - 
    115491600*ln2*z2^2*z3 - 34486200*sinf*z2^2*z3 - 94500*ln2^2*z3^2 + 
    76293000*ln2*sinf*z3^2 - 97524000*z2*z3^2 - 6835500*ln2^3*z5 + 
    61519500*ln2^2*sinf*z5 - 179077500*ln2*z2*z5 - 11245500*sinf*z2*z5 + 
    211703625*z3*z5 - 20341125*sinf*z7)/14112000, 
 H[1, 0, 0, -1, -1, -1, 1, 0, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    5040000*ln2^2*s6 - 38029950*s8a - 333648000*s8b + 10080000*s8c - 
    80640000*s8d + 41328000*ln2*s6*sinf - 41328000*s7a*sinf - 
    62496000*s7b*sinf - 84672000*li6half*z2 + 42336000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 + 154224000*s6*z2 + 
    14112000*li4half*ln2*sinf*z2 + 588000*ln2^5*sinf*z2 - 
    112795200*li4half*z2^2 - 1171800*ln2^4*z2^2 + 1764000*ln2^3*sinf*z2^2 + 
    27795600*ln2^2*z2^3 - 9979200*ln2*sinf*z2^3 + 55429128*z2^4 + 
    76608000*li5half*z3 + 165816000*li4half*ln2*z3 + 6270600*ln2^5*z3 - 
    24696000*li4half*sinf*z3 - 1029000*ln2^4*sinf*z3 - 22722000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 - 24292800*ln2*z2^2*z3 + 
    53688600*sinf*z2^2*z3 + 38713500*ln2^2*z3^2 - 11529000*ln2*sinf*z3^2 + 
    32350500*z2*z3^2 + 20506500*ln2^2*sinf*z5 - 50746500*ln2*z2*z5 + 
    184243500*sinf*z2*z5 - 150081750*z3*z5 - 462459375*sinf*z7)/14112000, 
 H[1, 0, 0, -1, -1, -1, 1, -1, 1] -> 
  (296352000*li4half^2 - 282240000*li8half + 169344000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 
    12936000*li4half*ln2^4 + 258300*ln2^8 - 48888000*ln2^2*s6 + 
    68544000*ln2*s7a - 72576000*ln2*s7b - 23013900*s8a - 577080000*s8b - 
    4032000*s8c - 94752000*s8d - 169344000*li7half*sinf + 
    56448000*li6half*ln2*sinf - 9408000*li4half*ln2^3*sinf - 
    280000*ln2^7*sinf + 117936000*ln2*s6*sinf - 82656000*s7a*sinf - 
    26208000*s7b*sinf - 28224000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    105840000*li4half*ln2^2*z2 - 4253200*ln2^6*z2 + 221256000*s6*z2 + 
    28224000*li5half*sinf*z2 + 70560000*li4half*ln2*sinf*z2 + 
    3175200*ln2^5*sinf*z2 - 265204800*li4half*z2^2 + 12058200*ln2^4*z2^2 - 
    22932000*ln2^3*sinf*z2^2 + 84117600*ln2^2*z2^3 - 32608800*ln2*sinf*z2^3 + 
    74509056*z2^4 + 111888000*li5half*z3 + 345744000*li4half*ln2*z3 + 
    11415600*ln2^5*z3 + 42336000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 
    72996000*ln2^3*z2*z3 + 31752000*ln2^2*sinf*z2*z3 - 36590400*ln2*z2^2*z3 - 
    2167200*sinf*z2^2*z3 + 159894000*ln2^2*z3^2 - 42462000*ln2*sinf*z3^2 - 
    3150000*z2*z3^2 + 150381000*ln2^3*z5 - 54684000*ln2^2*sinf*z5 + 
    188685000*ln2*z2*z5 + 75663000*sinf*z2*z5 + 87176250*z3*z5 - 
    660145500*ln2*z7 - 118054125*sinf*z7)/28224000, 
 H[1, 0, 0, -1, -1, -1, 0, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 335475*s8a + 
    2016000*ln2*s6*sinf - 2016000*s7a*sinf - 2016000*s7b*sinf + 
    12096000*li6half*z2 + 12096000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 3024000*s6*z2 + 
    4032000*li5half*sinf*z2 + 4032000*li4half*ln2*sinf*z2 + 
    134400*ln2^5*sinf*z2 + 907200*li4half*z2^2 - 466200*ln2^4*z2^2 - 
    672000*ln2^3*sinf*z2^2 - 226800*ln2^2*z2^3 - 352800*ln2*sinf*z2^3 - 
    1308696*z2^4 - 15624000*li5half*z3 - 8568000*li4half*ln2*z3 - 
    226800*ln2^5*z3 - 6048000*li4half*sinf*z3 - 252000*ln2^4*sinf*z3 + 
    2604000*ln2^3*z2*z3 + 3276000*ln2^2*sinf*z2*z3 + 793800*ln2*z2^2*z3 + 
    3931200*sinf*z2^2*z3 - 3748500*ln2^2*z3^2 - 4725000*ln2*sinf*z3^2 + 
    2362500*z2*z3^2 - 5859000*ln2*z2*z5 + 7560000*sinf*z2*z5 - 
    1291500*z3*z5 - 25333875*sinf*z7)/2016000, 
 H[1, 0, 0, -1, -1, -1, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 326025*s8a - 
    672000*ln2*s6*sinf + 672000*s7a*sinf + 672000*s7b*sinf + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 + 1142400*li4half*z2^2 - 
    78400*ln2^4*z2^2 - 285600*ln2^2*z2^3 + 117600*ln2*sinf*z2^3 - 
    517796*z2^4 + 2184000*li5half*z3 - 1344000*li4half*ln2*z3 - 
    74200*ln2^5*z3 + 504000*li4half*sinf*z3 + 21000*ln2^4*sinf*z3 + 
    518000*ln2^3*z2*z3 - 126000*ln2^2*sinf*z2*z3 + 999600*ln2*z2^2*z3 - 
    1087800*sinf*z2^2*z3 - 588000*ln2^2*z3^2 + 252000*ln2*sinf*z3^2 - 
    414750*z2*z3^2 - 1974000*sinf*z2*z5 + 551250*z3*z5 + 6460125*sinf*z7)/
   336000, H[1, 0, 0, -1, -1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    5040000*ln2^2*s6 + 10080000*ln2*s7a + 10080000*ln2*s7b - 41757975*s8a - 
    121464000*s8b - 10080000*s8c + 10080000*s8d - 38304000*ln2*s6*sinf + 
    38304000*s7a*sinf + 38304000*s7b*sinf + 84672000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 
    1008000*s6*z2 + 28224000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    940800*ln2^5*sinf*z2 + 52819200*li4half*z2^2 - 6619200*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 - 11188800*ln2^2*z2^3 + 6703200*ln2*sinf*z2^3 - 
    36236976*z2^4 - 97776000*li5half*z3 - 176400000*li4half*ln2*z3 - 
    6535200*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 
    48300000*ln2^3*z2*z3 + 15876000*ln2^2*sinf*z2*z3 + 39475800*ln2*z2^2*z3 - 
    5544000*sinf*z2^2*z3 - 70875000*ln2^2*z3^2 - 23121000*ln2*sinf*z3^2 + 
    39973500*z2*z3^2 - 40383000*ln2*z2*z5 - 169407000*sinf*z2*z5 + 
    41430375*z3*z5 + 311353875*ln2*z7 + 287980875*sinf*z7)/28224000, 
 H[1, 0, 0, -1, -1, -1, -1, 1, 1] -> 
  (-42336000*li4half^2 + 282240000*li8half - 56448000*li6half*ln2^2 - 
    23520000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 193900*ln2^8 - 
    45360000*ln2^2*s6 + 91652400*s8a + 511056000*s8b + 76608000*s8c + 
    15120000*s8d + 112896000*li7half*sinf - 14112000*li5half*ln2^2*sinf - 
    4704000*li4half*ln2^3*sinf - 100800*ln2^7*sinf - 35280000*ln2*s6*sinf + 
    35280000*s7a*sinf + 56448000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1509200*ln2^6*z2 - 69048000*s6*z2 + 
    28224000*li5half*sinf*z2 + 235200*ln2^5*sinf*z2 + 37598400*li4half*z2^2 - 
    2608200*ln2^4*z2^2 + 4586400*ln2^3*sinf*z2^2 - 6048000*ln2^2*z2^3 + 
    23738400*ln2*sinf*z2^3 - 17578836*z2^4 - 97272000*li5half*z3 - 
    74088000*li4half*ln2*z3 - 3305400*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    1323000*ln2^4*sinf*z3 + 12474000*ln2^3*z2*z3 - 8820000*ln2^2*sinf*z2*z3 - 
    62874000*ln2*z2^2*z3 - 970200*sinf*z2^2*z3 - 35910000*ln2^2*z3^2 + 
    22491000*ln2*sinf*z3^2 - 57676500*z2*z3^2 + 2278500*ln2^3*z5 + 
    27342000*ln2^2*sinf*z5 - 216153000*ln2*z2*z5 - 6174000*sinf*z2*z5 - 
    11914875*z3*z5 - 104131125*sinf*z7)/14112000, 
 H[1, 0, 0, -1, -1, -1, -1, 0, 1] -> 
  (-59325*s8a + 336000*ln2*s6*sinf - 336000*s7a*sinf - 336000*s7b*sinf - 
    2016000*li6half*z2 - 2016000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 
    28000*ln2^6*z2 - 336000*li5half*sinf*z2 - 336000*li4half*ln2*sinf*z2 - 
    11200*ln2^5*sinf*z2 - 67200*li4half*z2^2 + 123200*ln2^4*z2^2 + 
    56000*ln2^3*sinf*z2^2 + 16800*ln2^2*z2^3 - 58800*ln2*sinf*z2^3 + 
    385068*z2^4 + 1344000*li5half*z3 + 1344000*li4half*ln2*z3 + 
    44800*ln2^5*z3 + 84000*li4half*sinf*z3 + 3500*ln2^4*sinf*z3 - 
    518000*ln2^3*z2*z3 - 168000*ln2^2*sinf*z2*z3 - 58800*ln2*z2^2*z3 + 
    92400*sinf*z2^2*z3 + 588000*ln2^2*z3^2 + 168000*ln2*sinf*z3^2 - 
    420000*z2*z3^2 + 824250*sinf*z2*z5 + 110250*z3*z5 - 1349250*sinf*z7)/
   336000, H[1, 0, 0, -1, -1, -1, -1, -1, 1] -> 
  (2016000*li4half^2 + 20160000*li8half + 20160000*li7half*ln2 + 
    10080000*li6half*ln2^2 + 3360000*li5half*ln2^3 + 1008000*li4half*ln2^4 + 
    21000*ln2^8 - 504000*ln2^2*s6 + 1008000*ln2*s7a + 604800*s8a + 
    8064000*s8b + 1008000*s8d + 4032000*li7half*sinf + 
    4032000*li6half*ln2*sinf + 2016000*li5half*ln2^2*sinf + 
    672000*li4half*ln2^3*sinf + 16000*ln2^7*sinf - 1008000*s7a*sinf - 
    2016000*li6half*z2 - 2016000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 
    140000*ln2^6*z2 - 2016000*s6*z2 - 67200*ln2^5*sinf*z2 - 
    1411200*li4half*z2^2 + 193200*ln2^4*z2^2 + 554400*ln2^2*z2^3 - 
    1608192*z2^4 - 1512000*li5half*z3 + 4032000*li4half*ln2*z3 + 
    327600*ln2^5*z3 + 147000*ln2^4*sinf*z3 - 1428000*ln2^3*z2*z3 - 
    2167200*ln2*z2^2*z3 - 50400*sinf*z2^2*z3 + 2394000*ln2^2*z3^2 - 
    882000*z2*z3^2 + 651000*ln2^3*z5 - 945000*ln2*z2*z5 - 
    1039500*sinf*z2*z5 + 811125*z3*z5 - 6985125*ln2*z7 - 3063375*sinf*z7)/
   2016000, H[1, 0, -1, 1, 1, 1, 1, 1, 1] -> 
  (-28224000*li8half - 700*ln2^8 - 3360000*ln2^2*s6 + 18559275*s8a + 
    137424000*s8b + 6720000*s8c + 14448000*s8d + 28224000*li7half*sinf - 
    5600*ln2^7*sinf + 4704000*ln2*s6*sinf - 4704000*s7a*sinf + 
    19600*ln2^6*z2 - 39480000*s6*z2 - 9408000*li5half*sinf*z2 + 
    78400*ln2^5*sinf*z2 + 14179200*li4half*z2^2 + 208600*ln2^4*z2^2 - 
    548800*ln2^3*sinf*z2^2 - 5124000*ln2^2*z2^3 - 2150400*ln2*sinf*z2^3 - 
    7451916*z2^4 - 10080000*li5half*z3 + 84000*ln2^5*z3 - 
    9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 - 840000*ln2^3*z2*z3 + 
    2352000*ln2^2*sinf*z2*z3 - 7434000*ln2*z2^2*z3 + 235200*sinf*z2^2*z3 - 
    945000*ln2^2*z3^2 - 5880000*ln2*sinf*z3^2 - 9597000*z2*z3^2 - 
    4557000*ln2^2*sinf*z5 - 20160000*ln2*z2*z5 - 147000*sinf*z2*z5 + 
    14844375*z3*z5 + 4520250*sinf*z7)/9408000, 
 H[1, 0, -1, 1, 1, 1, 1, 0, 1] -> (113904000*ln2^2*s6 - 361495575*s8a - 
    1789704000*s8b - 227808000*s8c - 68544000*s8d - 225792000*li7half*sinf + 
    44800*ln2^7*sinf - 2016000*ln2*s6*sinf + 2016000*s7a*sinf - 
    40320000*s7b*sinf - 169344000*li6half*z2 - 235200*ln2^6*z2 + 
    313488000*s6*z2 - 28224000*li5half*sinf*z2 - 705600*ln2^5*sinf*z2 - 
    53222400*li4half*z2^2 + 3956400*ln2^4*z2^2 - 705600*ln2^3*sinf*z2^2 + 
    14162400*ln2^2*z2^3 - 4636800*ln2*sinf*z2^3 + 32345568*z2^4 + 
    172368000*li5half*z3 - 1436400*ln2^5*z3 + 112896000*li4half*sinf*z3 + 
    4704000*ln2^4*sinf*z3 + 14364000*ln2^3*z2*z3 + 
    14112000*ln2^2*sinf*z2*z3 + 307049400*ln2*z2^2*z3 + 
    26409600*sinf*z2^2*z3 + 32035500*ln2^2*z3^2 + 2520000*ln2*sinf*z3^2 + 
    234139500*z2*z3^2 + 41013000*ln2^2*sinf*z5 + 683424000*ln2*z2*z5 + 
    147987000*sinf*z2*z5 - 283854375*z3*z5 - 248865750*sinf*z7)/56448000, 
 H[1, 0, -1, 1, 1, 1, 1, -1, 1] -> (1612800*li4half^2 + 32256000*li8half + 
    9676800*li7half*ln2 + 806400*li6half*ln2^2 + 134400*li4half*ln2^4 + 
    2800*ln2^8 - 1008000*ln2^2*s6 + 2016000*ln2*s7a + 2016000*ln2*s7b - 
    1901025*s8a + 12600000*s8b - 2016000*s8c + 2016000*s8d + 
    1612800*li7half*sinf + 1612800*li6half*ln2*sinf + 1920*ln2^7*sinf + 
    403200*ln2*s6*sinf - 403200*s7a*sinf - 2016000*s7b*sinf - 
    806400*li6half*z2 - 806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 
    4032000*s6*z2 - 26880*ln2^5*sinf*z2 + 262080*ln2^4*z2^2 - 
    26880*ln2^3*sinf*z2^2 + 1278720*ln2^2*z2^3 + 292320*ln2*sinf*z2^3 - 
    1514664*z2^4 - 4032000*li5half*z3 + 2822400*li4half*ln2*z3 + 
    151200*ln2^5*z3 - 1008000*li4half*sinf*z3 - 42000*ln2^4*sinf*z3 - 
    1041600*ln2^3*z2*z3 + 252000*ln2^2*sinf*z2*z3 + 2038680*ln2*z2^2*z3 + 
    1874880*sinf*z2^2*z3 + 2494800*ln2^2*z3^2 - 1121400*ln2*sinf*z3^2 + 
    1600200*z2*z3^2 + 1562400*ln2^2*sinf*z5 + 126000*ln2*z2*z5 + 
    5972400*sinf*z2*z5 - 12371625*z3*z5 - 10938375*ln2*z7 - 16227225*sinf*z7)/
   1612800, H[1, 0, -1, 1, 1, 1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    41664000*ln2^2*s6 + 83865600*s8a - 64176000*s8b + 83328000*s8c - 
    111552000*s8d - 21504000*ln2*s6*sinf + 21504000*s7a*sinf + 
    26208000*s7b*sinf - 56448000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    666400*ln2^6*z2 + 279552000*s6*z2 + 131712000*li5half*sinf*z2 + 
    28224000*li4half*ln2*sinf*z2 + 78400*ln2^5*sinf*z2 - 
    26544000*li4half*z2^2 + 1834000*ln2^4*z2^2 + 2744000*ln2^3*sinf*z2^2 - 
    84000*ln2^2*z2^3 + 19370400*ln2*sinf*z2^3 + 41209296*z2^4 - 
    12096000*li5half*z3 + 100800*ln2^5*z3 - 30576000*li4half*sinf*z3 - 
    1274000*ln2^4*sinf*z3 - 1008000*ln2^3*z2*z3 - 20580000*ln2^2*sinf*z2*z3 - 
    128872800*ln2*z2^2*z3 - 22646400*sinf*z2^2*z3 - 11718000*ln2^2*z3^2 + 
    26880000*ln2*sinf*z3^2 - 45738000*z2*z3^2 - 4557000*ln2^2*sinf*z5 - 
    249984000*ln2*z2*z5 - 114765000*sinf*z2*z5 + 49161000*z3*z5 + 
    102288375*sinf*z7)/18816000, H[1, 0, -1, 1, 1, 1, 0, 0, 1] -> 
  (-11088000*ln2^2*s6 + 107205525*s8a + 730800000*s8b + 22176000*s8c + 
    118944000*s8d + 10080000*ln2*s6*sinf - 10080000*s7a*sinf + 
    60480000*s7b*sinf + 112896000*li6half*z2 + 156800*ln2^6*z2 - 
    329616000*s6*z2 - 28224000*li5half*sinf*z2 + 235200*ln2^5*sinf*z2 + 
    11793600*li4half*z2^2 - 1860600*ln2^4*z2^2 - 12936000*ln2^3*sinf*z2^2 - 
    1789200*ln2^2*z2^3 - 10281600*ln2*sinf*z2^3 - 61819056*z2^4 - 
    117936000*li5half*z3 + 982800*ln2^5*z3 + 42336000*li4half*sinf*z3 + 
    1764000*ln2^4*sinf*z3 - 9828000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 - 
    28765800*ln2*z2^2*z3 - 79833600*sinf*z2^2*z3 - 3118500*ln2^2*z3^2 - 
    12600000*ln2*sinf*z3^2 - 89176500*z2*z3^2 - 68355000*ln2^2*sinf*z5 - 
    66528000*ln2*z2*z5 - 165312000*sinf*z2*z5 + 271443375*z3*z5 + 
    537295500*sinf*z7)/28224000, H[1, 0, -1, 1, 1, 1, 0, -1, 1] -> 
  (-16934400*li4half^2 - 903168000*li8half - 361267200*li7half*ln2 - 
    45158400*li6half*ln2^2 - 1411200*li4half*ln2^4 - 42840*ln2^8 + 
    209260800*ln2^2*s6 - 77011200*ln2*s7a + 69753600*ln2*s7b - 
    366390675*s8a - 2417688000*s8b - 250387200*s8c - 246355200*s8d - 
    361267200*li7half*sinf - 90316800*li6half*ln2*sinf - 53760*ln2^7*sinf + 
    46771200*ln2*s6*sinf - 32659200*s7a*sinf + 43545600*s7b*sinf + 
    28224000*li6half*z2 + 8467200*li4half*ln2^2*z2 + 454720*ln2^6*z2 + 
    746726400*s6*z2 + 5644800*li5half*sinf*z2 - 16934400*li4half*ln2*sinf*
     z2 - 376320*ln2^5*sinf*z2 - 46730880*li4half*z2^2 - 3593520*ln2^4*z2^2 - 
    1693440*ln2^3*sinf*z2^2 - 68312160*ln2^2*z2^3 - 33485760*ln2*sinf*z2^3 + 
    45210168*z2^4 + 485654400*li5half*z3 - 4047120*ln2^5*z3 + 
    18345600*li4half*sinf*z3 + 764400*ln2^4*sinf*z3 + 40471200*ln2^3*z2*z3 - 
    24696000*ln2^2*sinf*z2*z3 + 270554760*ln2*z2^2*z3 - 
    29630160*sinf*z2^2*z3 - 48573000*ln2^2*z3^2 - 15863400*ln2*sinf*z3^2 + 
    272286000*z2*z3^2 - 142178400*ln2^3*z5 - 73823400*ln2^2*sinf*z5 + 
    541674000*ln2*z2*z5 - 135059400*sinf*z2*z5 - 342154575*z3*z5 + 
    871395525*ln2*z7 + 601527150*sinf*z7)/11289600, 
 H[1, 0, -1, 1, 1, 1, -1, 1, 1] -> 
  (-169344000*li4half^2 - 677376000*li8half + 141120000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 271600*ln2^8 + 
    195552000*ln2^2*s6 - 226944900*s8a - 2326464000*s8b - 249984000*s8c - 
    229824000*s8d - 677376000*li7half*sinf + 28224000*li5half*ln2^2*sinf - 
    100800*ln2^7*sinf - 40320000*ln2*s6*sinf + 40320000*s7a*sinf + 
    167328000*s7b*sinf - 141120000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2900800*ln2^6*z2 + 628992000*s6*z2 - 
    28224000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    3057600*ln2^5*sinf*z2 - 20563200*li4half*z2^2 - 19672800*ln2^4*z2^2 + 
    25166400*ln2^3*sinf*z2^2 + 17035200*ln2^2*z2^3 - 33213600*ln2*sinf*z2^3 - 
    2433024*z2^4 + 473760000*li5half*z3 - 3948000*ln2^5*z3 + 
    183456000*li4half*sinf*z3 + 7644000*ln2^4*sinf*z3 + 
    39480000*ln2^3*z2*z3 - 45864000*ln2^2*sinf*z2*z3 + 
    170352000*ln2*z2^2*z3 - 161355600*sinf*z2^2*z3 - 12915000*ln2^2*z3^2 + 
    50400000*ln2*sinf*z3^2 + 328167000*z2*z3^2 - 91140000*ln2^3*z5 - 
    259749000*ln2^2*sinf*z5 + 1023372000*ln2*z2*z5 - 293517000*sinf*z2*z5 - 
    197977500*z3*z5 + 1450866375*sinf*z7)/56448000, 
 H[1, 0, -1, 1, 1, 1, -1, 0, 1] -> 
  (127008000*li4half^2 + 10584000*li4half*ln2^4 + 220500*ln2^8 - 
    37296000*ln2^2*s6 + 92780100*s8a + 781704000*s8b + 74592000*s8c + 
    66528000*s8d + 225792000*li7half*sinf - 44800*ln2^7*sinf + 
    16128000*ln2*s6*sinf - 16128000*s7a*sinf + 26208000*s7b*sinf + 
    239904000*li6half*z2 + 42336000*li5half*ln2*z2 - 
    63504000*li4half*ln2^2*z2 - 2665600*ln2^6*z2 - 97776000*s6*z2 + 
    70560000*li5half*sinf*z2 + 127008000*li4half*ln2*sinf*z2 + 
    5644800*ln2^5*sinf*z2 - 29736000*li4half*z2^2 + 2583000*ln2^4*z2^2 - 
    20462400*ln2^3*sinf*z2^2 - 27795600*ln2^2*z2^3 + 14868000*ln2*sinf*z2^3 + 
    1096236*z2^4 - 249480000*li5half*z3 + 2079000*ln2^5*z3 - 
    52920000*li4half*sinf*z3 - 2205000*ln2^4*sinf*z3 - 20790000*ln2^3*z2*z3 + 
    47628000*ln2^2*sinf*z2*z3 - 93366000*ln2*z2^2*z3 - 7005600*sinf*z2^2*z3 - 
    10489500*ln2^2*z3^2 - 20160000*ln2*sinf*z3^2 - 165973500*z2*z3^2 - 
    41013000*ln2^2*sinf*z5 - 428841000*ln2*z2*z5 - 215460000*sinf*z2*z5 + 
    246219750*z3*z5 + 88286625*sinf*z7)/28224000, 
 H[1, 0, -1, 1, 1, 1, -1, -1, 1] -> 
  (-846720000*li8half - 677376000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 43400*ln2^8 - 214704000*ln2^2*s6 - 
    52416000*ln2*s7a - 66528000*ln2*s7b + 439625025*s8a + 1230264000*s8b + 
    421344000*s8c + 30240000*s8d - 112896000*li7half*sinf - 
    169344000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf + 
    22400*ln2^7*sinf + 34272000*ln2*s6*sinf - 6048000*s7a*sinf - 
    76608000*s7b*sinf + 84672000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    784000*ln2^6*z2 - 300384000*s6*z2 + 84672000*li5half*sinf*z2 - 
    3528000*ln2^5*sinf*z2 + 10281600*li4half*z2^2 + 7131600*ln2^4*z2^2 + 
    5409600*ln2^3*sinf*z2^2 + 20714400*ln2^2*z2^3 - 11793600*ln2*sinf*z2^3 + 
    37884024*z2^4 - 173376000*li5half*z3 + 1444800*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 14448000*ln2^3*z2*z3 - 
    114660000*ln2^2*sinf*z2*z3 - 349612200*ln2*z2^2*z3 + 
    2797200*sinf*z2^2*z3 - 12537000*ln2^2*z3^2 + 120771000*ln2*sinf*z3^2 - 
    446985000*z2*z3^2 + 104811000*ln2^3*z5 + 205065000*ln2^2*sinf*z5 - 
    1204875000*ln2*z2*z5 + 63189000*sinf*z2*z5 + 1135945125*z3*z5 + 
    1017268875*ln2*z7 - 91743750*sinf*z7)/56448000, 
 H[1, 0, -1, 1, 1, 0, 1, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    13776000*ln2^2*s6 - 21437325*s8a - 186648000*s8b - 27552000*s8c + 
    27552000*s8d - 73920000*ln2*s6*sinf + 73920000*s7a*sinf + 
    8064000*s7b*sinf + 42336000*li4half*ln2^2*z2 + 1764000*ln2^6*z2 - 
    55104000*s6*z2 - 94080000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 2744000*ln2^5*sinf*z2 - 72105600*li4half*z2^2 - 
    8296400*ln2^4*z2^2 + 13328000*ln2^3*sinf*z2^2 + 32323200*ln2^2*z2^3 + 
    6720000*ln2*sinf*z2^3 - 3996672*z2^4 + 34272000*li5half*z3 - 
    285600*ln2^5*z3 + 166992000*li4half*sinf*z3 + 6958000*ln2^4*sinf*z3 + 
    2856000*ln2^3*z2*z3 - 39984000*ln2^2*sinf*z2*z3 + 32772600*ln2*z2^2*z3 - 
    63588000*sinf*z2^2*z3 + 3874500*ln2^2*z3^2 + 92400000*ln2*sinf*z3^2 + 
    17650500*z2*z3^2 + 63798000*ln2^2*sinf*z5 + 82656000*ln2*z2*z5 + 
    41580000*sinf*z2*z5 + 99211875*z3*z5 + 151945500*sinf*z7)/18816000, 
 H[1, 0, -1, 1, 1, 0, 1, 0, 1] -> (-672000*ln2^2*s6 - 4647300*s8a + 
    4670400*s8b + 1344000*s8c - 1344000*s8d + 9676800*ln2*s6*sinf - 
    9676800*s7a*sinf - 9676800*s7b*sinf + 3158400*s6*z2 + 
    3763200*li5half*sinf*z2 - 31360*ln2^5*sinf*z2 + 7398720*li4half*z2^2 + 
    308280*ln2^4*z2^2 + 313600*ln2^3*sinf*z2^2 - 2185680*ln2^2*z2^3 - 
    608160*ln2*sinf*z2^3 + 2333336*z2^4 + 9273600*li5half*z3 - 
    77280*ln2^5*z3 - 23520000*li4half*sinf*z3 - 980000*ln2^4*sinf*z3 + 
    772800*ln2^3*z2*z3 + 3057600*ln2^2*sinf*z2*z3 + 929880*ln2*z2^2*z3 + 
    15794520*sinf*z2^2*z3 - 189000*ln2^2*z3^2 - 12096000*ln2*sinf*z3^2 + 
    3357900*z2*z3^2 - 4032000*ln2*z2*z5 + 27352500*sinf*z2*z5 - 
    30885225*z3*z5 - 80834775*sinf*z7)/1881600, 
 H[1, 0, -1, 1, 1, 0, 1, -1, 1] -> (4032000*li4half^2 + 1935360000*li8half + 
    774144000*li7half*ln2 + 96768000*li6half*ln2^2 + 336000*li4half*ln2^4 + 
    35800*ln2^8 - 461376000*ln2^2*s6 + 173088000*ln2*s7a - 
    254304000*ln2*s7b + 904536675*s8a + 5431608000*s8b + 639072000*s8c + 
    522144000*s8d + 774144000*li7half*sinf + 193536000*li6half*ln2*sinf + 
    115200*ln2^7*sinf - 89280000*ln2*s6*sinf + 151776000*s7a*sinf - 
    199008000*s7b*sinf - 96768000*li6half*z2 - 36288000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 - 50400*ln2^6*z2 - 1656144000*s6*z2 + 
    16128000*li5half*sinf*z2 + 36288000*li4half*ln2*sinf*z2 + 
    571200*ln2^5*sinf*z2 + 107049600*li4half*z2^2 + 3704400*ln2^4*z2^2 + 
    7492800*ln2^3*sinf*z2^2 + 134870400*ln2^2*z2^3 + 36756000*ln2*sinf*z2^3 - 
    118763352*z2^4 - 1040256000*li5half*z3 - 56448000*li4half*ln2*z3 + 
    6316800*ln2^5*z3 - 19152000*li4half*sinf*z3 - 798000*ln2^4*sinf*z3 - 
    72576000*ln2^3*z2*z3 + 30492000*ln2^2*sinf*z2*z3 - 
    632727000*ln2*z2^2*z3 + 67168800*sinf*z2^2*z3 + 100881000*ln2^2*z3^2 + 
    138501000*ln2*sinf*z3^2 - 674100000*z2*z3^2 + 414036000*ln2^3*z5 + 
    339822000*ln2^2*sinf*z5 - 1161189000*ln2*z2*z5 + 602100000*sinf*z2*z5 + 
    1016512875*z3*z5 - 2010805875*ln2*z7 - 1756519875*sinf*z7)/8064000, 
 H[1, 0, -1, 1, 1, 0, 0, 1, 1] -> (5644800*li4half^2 + 470400*li4half*ln2^4 + 
    9800*ln2^8 + 739200*ln2^2*s6 - 2214450*s8a + 14784000*s8b - 1478400*s8c + 
    1478400*s8d + 5779200*ln2*s6*sinf - 5779200*s7a*sinf + 3628800*s7b*sinf - 
    2822400*li4half*ln2^2*z2 - 117600*ln2^6*z2 - 12835200*s6*z2 - 
    1881600*li5half*sinf*z2 + 5644800*li4half*ln2*sinf*z2 + 
    250880*ln2^5*sinf*z2 - 3373440*li4half*z2^2 + 212240*ln2^4*z2^2 - 
    1568000*ln2^3*sinf*z2^2 - 480480*ln2^2*z2^3 - 127680*ln2*sinf*z2^3 + 
    1144988*z2^4 - 3427200*li5half*z3 + 28560*ln2^5*z3 - 
    470400*li4half*sinf*z3 - 19600*ln2^4*sinf*z3 - 285600*ln2^3*z2*z3 + 
    1528800*ln2^2*sinf*z2*z3 + 3470040*ln2*z2^2*z3 + 232680*sinf*z2^2*z3 + 
    207900*ln2^2*z3^2 - 7224000*ln2*sinf*z3^2 + 4578000*z2*z3^2 - 
    9114000*ln2^2*sinf*z5 + 4435200*ln2*z2*z5 - 14319900*sinf*z2*z5 - 
    13693575*z3*z5 + 20956950*sinf*z7)/1881600, 
 H[1, 0, -1, 1, 1, 0, 0, 0, 1] -> (-2688000*ln2^2*s6 + 7698075*s8a - 
    39648000*s8b + 5376000*s8c - 5376000*s8d - 17472000*ln2*s6*sinf + 
    17472000*s7a*sinf - 1344000*s7b*sinf + 22512000*s6*z2 - 
    10718400*li4half*z2^2 - 446600*ln2^4*z2^2 + 5569200*ln2^2*z2^3 + 
    3309600*ln2*sinf*z2^3 + 187312*z2^4 - 8064000*li5half*z3 + 
    67200*ln2^5*z3 + 14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 - 
    672000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 - 11239200*ln2*z2^2*z3 - 
    9815400*sinf*z2^2*z3 - 756000*ln2^2*z3^2 + 21840000*ln2*sinf*z3^2 - 
    11235000*z2*z3^2 + 18228000*ln2^2*sinf*z5 - 16128000*ln2*z2*z5 + 
    2404500*sinf*z2*z5 + 61745250*z3*z5 + 9961875*sinf*z7)/4704000, 
 H[1, 0, -1, 1, 1, 0, 0, -1, 1] -> (-45360000*ln2^2*s6 + 2688000*ln2*s7a + 
    21504000*ln2*s7b + 56380800*s8a + 240240000*s8b + 47712000*s8c + 
    8736000*s8d - 11424000*ln2*s6*sinf - 26208000*s7a*sinf + 
    58464000*s7b*sinf - 51576000*s6*z2 - 18816000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 1019200*ln2^5*sinf*z2 - 
    25065600*li4half*z2^2 - 1044400*ln2^4*z2^2 + 5488000*ln2^3*sinf*z2^2 + 
    25846800*ln2^2*z2^3 + 24897600*ln2*sinf*z2^3 + 14998388*z2^4 - 
    15120000*li5half*z3 + 49392000*li4half*ln2*z3 + 2184000*ln2^5*z3 + 
    51744000*li4half*sinf*z3 + 2156000*ln2^4*sinf*z3 - 13608000*ln2^3*z2*z3 - 
    32340000*ln2^2*sinf*z2*z3 - 62903400*ln2*z2^2*z3 - 
    37770600*sinf*z2^2*z3 + 13482000*ln2^2*z3^2 + 903000*ln2*sinf*z3^2 - 
    52431750*z2*z3^2 - 18228000*ln2^3*z5 - 82026000*ln2^2*sinf*z5 - 
    206892000*ln2*z2*z5 - 178132500*sinf*z2*z5 + 62314875*z3*z5 + 
    49717500*ln2*z7 + 335606250*sinf*z7)/9408000, 
 H[1, 0, -1, 1, 1, 0, -1, 1, 1] -> (50803200*li4half^2 - 903168000*li8half + 
    135475200*li6half*ln2^2 + 30105600*li5half*ln2^3 + 
    4233600*li4half*ln2^4 + 3080*ln2^8 + 272160000*ln2^2*s6 - 518041125*s8a - 
    2810203200*s8b - 355219200*s8c - 276998400*s8d - 541900800*li7half*sinf + 
    45158400*li5half*ln2^2*sinf - 268800*ln2^7*sinf + 159667200*ln2*s6*sinf - 
    159667200*s7a*sinf + 139507200*s7b*sinf - 135475200*li6half*z2 - 
    39513600*li5half*ln2*z2 - 25401600*li4half*ln2^2*z2 - 603680*ln2^6*z2 + 
    775555200*s6*z2 + 50803200*li5half*sinf*z2 + 50803200*li4half*ln2*sinf*
     z2 + 3198720*ln2^5*sinf*z2 - 63020160*li4half*z2^2 + 78960*ln2^4*z2^2 - 
    29776320*ln2^3*sinf*z2^2 - 89802720*ln2^2*z2^3 - 44210880*ln2*sinf*z2^3 + 
    92474352*z2^4 + 477792000*li5half*z3 - 3981600*ln2^5*z3 - 
    55036800*li4half*sinf*z3 - 2293200*ln2^4*sinf*z3 + 39816000*ln2^3*z2*z3 + 
    27518400*ln2^2*sinf*z2*z3 + 410848200*ln2*z2^2*z3 - 
    8920800*sinf*z2^2*z3 + 14496300*ln2^2*z3^2 - 199584000*ln2*sinf*z3^2 + 
    421073100*z2*z3^2 - 9114000*ln2^3*z5 - 303496200*ln2^2*sinf*z5 + 
    1099085400*ln2*z2*z5 - 503559000*sinf*z2*z5 - 661066875*z3*z5 + 
    1183845600*sinf*z7)/11289600, H[1, 0, -1, 1, 1, 0, -1, 0, 1] -> 
  (-20832000*ln2^2*s6 + 28180950*s8a - 80304000*s8b + 41664000*s8c - 
    41664000*s8d - 17472000*ln2*s6*sinf + 17472000*s7a*sinf - 
    20160000*s7b*sinf + 338688000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    470400*ln2^6*z2 + 260904000*s6*z2 + 56448000*li5half*sinf*z2 - 
    470400*ln2^5*sinf*z2 - 4334400*li4half*z2^2 + 2171400*ln2^4*z2^2 + 
    4704000*ln2^3*sinf*z2^2 - 13742400*ln2^2*z2^3 + 12129600*ln2*sinf*z2^3 - 
    34416808*z2^4 - 20160000*li5half*z3 + 168000*ln2^5*z3 - 
    14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 1680000*ln2^3*z2*z3 - 
    7056000*ln2^2*sinf*z2*z3 - 53235000*ln2*z2^2*z3 + 9882600*sinf*z2^2*z3 - 
    5859000*ln2^2*z3^2 + 21840000*ln2*sinf*z3^2 - 88504500*z2*z3^2 + 
    36456000*ln2^2*sinf*z5 - 159169500*ln2*z2*z5 + 33862500*sinf*z2*z5 + 
    92329125*z3*z5 - 153116250*sinf*z7)/9408000, 
 H[1, 0, -1, 1, 1, 0, -1, -1, 1] -> 
  (-4515840000*li8half - 2709504000*li7half*ln2 - 677376000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 + 112000*ln2^8 + 1051344000*ln2^2*s6 - 
    737856000*ln2*s7a + 983808000*ln2*s7b - 2093252175*s8a - 
    12467448000*s8b - 1487808000*s8c - 1165248000*s8d - 
    1354752000*li7half*sinf - 677376000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf + 268800*ln2^7*sinf - 41328000*ln2*s6*sinf - 
    346752000*s7a*sinf + 457632000*s7b*sinf + 338688000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 784000*ln2^6*z2 + 3851064000*s6*z2 + 
    56448000*li5half*sinf*z2 - 1411200*ln2^5*sinf*z2 - 
    235166400*li4half*z2^2 - 7446600*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 - 
    232545600*ln2^2*z2^3 + 37195200*ln2*sinf*z2^3 + 272205432*z2^4 + 
    2221128000*li5half*z3 - 18509400*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    147000*ln2^4*sinf*z3 + 185094000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 + 
    1366482600*ln2*z2^2*z3 - 130863600*sinf*z2^2*z3 - 551691000*ln2^2*z3^2 - 
    287910000*ln2*sinf*z3^2 + 1543626000*z2*z3^2 - 1645077000*ln2^3*z5 - 
    745069500*ln2^2*sinf*z5 + 1485508500*ln2*z2*z5 - 1406034000*sinf*z2*z5 - 
    2237626125*z3*z5 + 7042722750*ln2*z7 + 3456132750*sinf*z7)/28224000, 
 H[1, 0, -1, 1, 1, -1, 1, 1, 1] -> (16934400*li4half^2 - 11289600*li8half + 
    3763200*li5half*ln2^3 + 2116800*li4half*ln2^4 + 27160*ln2^8 + 
    2217600*ln2^2*s6 + 1647450*s8a + 40118400*s8b - 4435200*s8c + 
    12902400*s8d + 73382400*li7half*sinf + 940800*li4half*ln2^3*sinf + 
    24640*ln2^7*sinf + 7660800*ln2*s6*sinf - 7660800*s7a*sinf - 
    4838400*s7b*sinf - 11289600*li5half*ln2*z2 - 12700800*li4half*ln2^2*z2 - 
    290080*ln2^6*z2 - 30038400*s6*z2 + 22579200*li4half*ln2*sinf*z2 + 
    376320*ln2^5*sinf*z2 - 1229760*li4half*z2^2 + 2094960*ln2^4*z2^2 - 
    1905120*ln2^3*sinf*z2^2 - 5564160*ln2^2*z2^3 + 4042080*ln2*sinf*z2^3 - 
    3475044*z2^4 + 6652800*li5half*z3 - 55440*ln2^5*z3 - 
    22579200*li4half*sinf*z3 - 940800*ln2^4*sinf*z3 + 554400*ln2^3*z2*z3 + 
    5644800*ln2^2*sinf*z2*z3 + 4906440*ln2*z2^2*z3 + 9858240*sinf*z2^2*z3 + 
    623700*ln2^2*z3^2 - 9576000*ln2*sinf*z3^2 + 724500*z2*z3^2 - 
    6835500*ln2^3*z5 - 2734200*ln2^2*sinf*z5 + 33812100*ln2*z2*z5 + 
    4334400*sinf*z2*z5 - 6418125*z3*z5 - 87562125*sinf*z7)/5644800, 
 H[1, 0, -1, 1, 1, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    14448000*ln2^2*s6 - 32278575*s8a - 45528000*s8b + 28896000*s8c - 
    14784000*s8d - 225792000*li7half*sinf + 44800*ln2^7*sinf + 
    69888000*ln2*s6*sinf - 69888000*s7a*sinf - 8736000*s7b*sinf - 
    56448000*li6half*z2 + 37632000*li5half*ln2*z2 + 
    47040000*li4half*ln2^2*z2 + 1568000*ln2^6*z2 + 31920000*s6*z2 - 
    47040000*li5half*sinf*z2 - 75264000*li4half*ln2*sinf*z2 - 
    3684800*ln2^5*sinf*z2 + 26678400*li4half*z2^2 - 162400*ln2^4*z2^2 + 
    2430400*ln2^3*sinf*z2^2 + 19152000*ln2^2*z2^3 - 10264800*ln2*sinf*z2^3 + 
    38019288*z2^4 + 13104000*li5half*z3 - 109200*ln2^5*z3 - 
    11760000*li4half*sinf*z3 - 490000*ln2^4*sinf*z3 + 1092000*ln2^3*z2*z3 - 
    11172000*ln2^2*sinf*z2*z3 + 5254200*ln2*z2^2*z3 + 54138000*sinf*z2^2*z3 - 
    4063500*ln2^2*z3^2 - 87360000*ln2*sinf*z3^2 + 14563500*z2*z3^2 - 
    59241000*ln2^2*sinf*z5 - 155043000*ln2*z2*z5 + 96369000*sinf*z2*z5 - 
    147196875*z3*z5 - 82826625*sinf*z7)/18816000, 
 H[1, 0, -1, 1, 1, -1, 1, -1, 1] -> 
  (1411200000*li8half + 564480000*li7half*ln2 + 84672000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 7056000*li4half*ln2^4 + 60200*ln2^8 + 
    62496000*ln2^2*s6 - 22176000*ln2*s7a + 62496000*ln2*s7b - 101204775*s8a + 
    922824000*s8b - 207648000*s8c + 306432000*s8d - 56448000*li7half*sinf + 
    169344000*li6half*ln2*sinf - 9408000*li4half*ln2^3*sinf - 
    145600*ln2^7*sinf - 56448000*ln2*s6*sinf - 70560000*s7a*sinf + 
    112896000*s7b*sinf - 84672000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 - 598752000*s6*z2 - 
    169344000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    8232000*ln2^5*sinf*z2 + 73987200*li4half*z2^2 - 8794800*ln2^4*z2^2 - 
    50097600*ln2^3*sinf*z2^2 + 65772000*ln2^2*z2^3 - 33364800*ln2*sinf*z2^3 - 
    142928064*z2^4 - 457632000*li5half*z3 - 112896000*li4half*ln2*z3 - 
    890400*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 
    9912000*ln2^3*z2*z3 + 236376000*ln2^2*sinf*z2*z3 + 
    147004200*ln2*z2^2*z3 + 21520800*sinf*z2^2*z3 - 81207000*ln2^2*z3^2 - 
    253575000*ln2*sinf*z3^2 + 191016000*z2*z3^2 - 13671000*ln2^3*z5 - 
    177723000*ln2^2*sinf*z5 + 231651000*ln2*z2*z5 - 9261000*sinf*z2*z5 - 
    380716875*z3*z5 - 490431375*ln2*z7 + 168241500*sinf*z7)/56448000, 
 H[1, 0, -1, 1, 1, -1, 0, 1, 1] -> 
  (-1209600*li4half^2 - 100800*li4half*ln2^4 - 2100*ln2^8 - 
    1228800*ln2*s6*sinf + 1228800*s7a*sinf - 249600*s7b*sinf + 
    2419200*li6half*z2 + 1075200*li5half*ln2*z2 + 739200*li4half*ln2^2*z2 + 
    25200*ln2^6*z2 + 1008000*s6*z2 - 940800*li5half*sinf*z2 - 
    1344000*li4half*ln2*sinf*z2 - 48160*ln2^5*sinf*z2 + 47040*li4half*z2^2 - 
    68040*ln2^4*z2^2 + 257600*ln2^3*sinf*z2^2 + 277200*ln2^2*z2^3 + 
    14880*ln2*sinf*z2^3 - 230964*z2^4 + 504000*li5half*z3 - 4200*ln2^5*z3 + 
    1579200*li4half*sinf*z3 + 65800*ln2^4*sinf*z3 + 42000*ln2^3*z2*z3 - 
    520800*ln2^2*sinf*z2*z3 - 163800*ln2*z2^2*z3 - 617040*sinf*z2^2*z3 + 
    1536000*ln2*sinf*z3^2 - 378000*z2*z3^2 + 1432200*ln2^2*sinf*z5 - 
    1953000*ln2*z2*z5 + 1707600*sinf*z2*z5 + 60375*z3*z5 - 78000*sinf*z7)/
   268800, H[1, 0, -1, 1, 1, -1, 0, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 504000*ln2^2*s6 + 
    2910600*s8a - 504000*s8b - 1008000*s8c + 1008000*s8d - 
    2736000*ln2*s6*sinf + 2736000*s7a*sinf + 2736000*s7b*sinf - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 - 2016000*s6*z2 + 
    4032000*li5half*sinf*z2 + 6048000*li4half*ln2*sinf*z2 + 
    218400*ln2^5*sinf*z2 - 2016000*li4half*z2^2 + 168000*ln2^4*z2^2 - 
    1176000*ln2^3*sinf*z2^2 + 1663200*ln2^2*z2^3 - 248400*ln2*sinf*z2^3 - 
    2249064*z2^4 - 3024000*li5half*z3 + 25200*ln2^5*z3 + 
    1008000*li4half*sinf*z3 + 42000*ln2^4*sinf*z3 - 252000*ln2^3*z2*z3 + 
    882000*ln2^2*sinf*z2*z3 - 1096200*ln2*z2^2*z3 - 4144500*sinf*z2^2*z3 + 
    141750*ln2^2*z3^2 + 3420000*ln2*sinf*z3^2 - 2016000*z2*z3^2 + 
    3024000*ln2*z2*z5 - 13959000*sinf*z2*z5 + 16954875*z3*z5 + 
    28771875*sinf*z7)/2016000, H[1, 0, -1, 1, 1, -1, 0, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 - 
    54864000*ln2^2*s6 + 15552000*ln2*s7a - 20736000*ln2*s7b + 95780475*s8a + 
    421848000*s8b + 78624000*s8c + 30240000*s8d - 10656000*ln2*s6*sinf + 
    10656000*s7a*sinf + 4608000*s7b*sinf + 18144000*li6half*z2 + 
    8064000*li5half*ln2*z2 + 9072000*li4half*ln2^2*z2 + 336000*ln2^6*z2 - 
    107352000*s6*z2 - 2016000*li5half*sinf*z2 - 22176000*li4half*ln2*sinf*
     z2 - 907200*ln2^5*sinf*z2 + 3628800*li4half*z2^2 - 814800*ln2^4*z2^2 + 
    5376000*ln2^3*sinf*z2^2 + 20872800*ln2^2*z2^3 + 6696000*ln2*sinf*z2^3 + 
    2028456*z2^4 - 61992000*li5half*z3 + 10584000*li4half*ln2*z3 + 
    957600*ln2^5*z3 + 25200000*li4half*sinf*z3 + 1050000*ln2^4*sinf*z3 - 
    7812000*ln2^3*z2*z3 - 22932000*ln2^2*sinf*z2*z3 - 79882200*ln2*z2^2*z3 - 
    15058800*sinf*z2^2*z3 + 15329250*ln2^2*z3^2 + 27211500*ln2*sinf*z3^2 - 
    87365250*z2*z3^2 + 35154000*ln2^3*z5 + 5859000*ln2^2*sinf*z5 - 
    188473500*ln2*z2*z5 - 22387500*sinf*z2*z5 + 168194250*z3*z5 - 
    98664750*ln2*z7 + 64503000*sinf*z7)/4032000, 
 H[1, 0, -1, 1, 1, -1, -1, 1, 1] -> 
  (479808000*li8half - 127008000*li6half*ln2^2 - 47040000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 + 80500*ln2^8 - 87192000*ln2^2*s6 + 47190150*s8a + 
    542304000*s8b + 68544000*s8c - 5040000*s8d + 451584000*li7half*sinf - 
    42336000*li5half*ln2^2*sinf - 4704000*li4half*ln2^3*sinf + 
    67200*ln2^7*sinf - 129024000*ln2*s6*sinf + 129024000*s7a*sinf - 
    181440000*s7b*sinf + 127008000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 - 960400*ln2^6*z2 + 31248000*s6*z2 + 
    42336000*li5half*sinf*z2 + 588000*ln2^5*sinf*z2 - 4536000*li4half*z2^2 - 
    2835000*ln2^4*z2^2 + 14229600*ln2^3*sinf*z2^2 - 6728400*ln2^2*z2^3 + 
    23839200*ln2*sinf*z2^3 - 9084996*z2^4 - 123984000*li5half*z3 + 
    1033200*ln2^5*z3 + 3528000*li4half*sinf*z3 + 147000*ln2^4*sinf*z3 - 
    10332000*ln2^3*z2*z3 + 4410000*ln2^2*sinf*z2*z3 - 72916200*ln2*z2^2*z3 + 
    53928000*sinf*z2^2*z3 + 10206000*ln2^2*z3^2 + 161280000*ln2*sinf*z3^2 - 
    79632000*z2*z3^2 + 88861500*ln2^3*z5 + 382788000*ln2^2*sinf*z5 - 
    369684000*ln2*z2*z5 + 462640500*sinf*z2*z5 - 76529250*z3*z5 - 
    1252195875*sinf*z7)/28224000, H[1, 0, -1, 1, 1, -1, -1, 0, 1] -> 
  (2257920*li4half^2 + 188160*li4half*ln2^4 + 3920*ln2^8 + 1814400*ln2^2*s6 - 
    2832165*s8a - 18325440*s8b - 3628800*s8c - 887040*s8d + 
    9031680*li7half*sinf - 1792*ln2^7*sinf + 362880*ln2*s6*sinf - 
    362880*s7a*sinf - 1774080*s7b*sinf - 14112000*li6half*z2 - 
    7338240*li5half*ln2*z2 - 2257920*li4half*ln2^2*z2 - 52528*ln2^6*z2 - 
    4294080*s6*z2 + 564480*li5half*sinf*z2 + 2822400*li4half*ln2*sinf*z2 + 
    150528*ln2^5*sinf*z2 + 104832*li4half*z2^2 + 4368*ln2^4*z2^2 + 
    51744*ln2^3*sinf*z2^2 - 1299312*ln2^2*z2^3 + 157248*ln2*sinf*z2^3 + 
    232740*z2^4 + 5019840*li5half*z3 - 41832*ln2^5*z3 - 
    3528000*li4half*sinf*z3 - 147000*ln2^4*sinf*z3 + 418320*ln2^3*z2*z3 + 
    987840*ln2^2*sinf*z2*z3 + 3993192*ln2*z2^2*z3 + 1730736*sinf*z2^2*z3 + 
    510300*ln2^2*z3^2 - 453600*ln2*sinf*z3^2 + 6452460*z2*z3^2 + 
    1367100*ln2^2*sinf*z5 + 24830820*ln2*z2*z5 + 6093360*sinf*z2*z5 - 
    6729345*z3*z5 - 20800710*sinf*z7)/1128960, 
 H[1, 0, -1, 1, 1, -1, -1, -1, 1] -> 
  (-56448000*li4half^2 - 1693440000*li8half - 225792000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 94080000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 - 271600*ln2^8 + 343728000*ln2^2*s6 - 
    64512000*ln2*s7a + 90720000*ln2*s7b - 496388025*s8a - 3401496000*s8b - 
    332640000*s8c - 358848000*s8d - 1016064000*li7half*sinf - 
    56448000*li6half*ln2*sinf + 84672000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf - 190400*ln2^7*sinf + 221760000*ln2*s6*sinf - 
    207648000*s7a*sinf + 342720000*s7b*sinf + 28224000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 2940000*ln2^6*z2 + 
    1056384000*s6*z2 - 28224000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 5174400*ln2^5*sinf*z2 - 81648000*li4half*z2^2 - 109200*ln2^4*z2^2 - 
    2116800*ln2^3*sinf*z2^2 - 50450400*ln2^2*z2^3 - 26812800*ln2*sinf*z2^3 + 
    132419376*z2^4 + 774144000*li5half*z3 + 56448000*li4half*ln2*z3 - 
    4099200*ln2^5*z3 + 91728000*li4half*sinf*z3 + 3822000*ln2^4*sinf*z3 + 
    50400000*ln2^3*z2*z3 - 107604000*ln2^2*sinf*z2*z3 + 
    350544600*ln2*z2^2*z3 - 152510400*sinf*z2^2*z3 - 40698000*ln2^2*z3^2 - 
    193851000*ln2*sinf*z3^2 + 353115000*z2*z3^2 - 328104000*ln2^3*z5 - 
    697221000*ln2^2*sinf*z5 + 890631000*ln2*z2*z5 - 1037610000*sinf*z2*z5 - 
    477169875*z3*z5 + 391458375*ln2*z7 + 2792900250*sinf*z7)/56448000, 
 H[1, 0, -1, 1, 0, 1, 1, 1, 1] -> 
  (12096000*li4half^2 + 1008000*li4half*ln2^4 + 21000*ln2^8 - 
    2016000*ln2^2*s6 - 4545450*s8a - 16128000*s8b + 4032000*s8c - 
    4032000*s8d + 7008000*ln2*s6*sinf - 7008000*s7a*sinf - 7008000*s7b*sinf - 
    6048000*li4half*ln2^2*z2 - 252000*ln2^6*z2 + 8064000*s6*z2 + 
    16128000*li5half*sinf*z2 + 12096000*li4half*ln2*sinf*z2 + 
    369600*ln2^5*sinf*z2 - 9072000*li4half*z2^2 + 378000*ln2^4*z2^2 - 
    1680000*ln2^3*sinf*z2^2 + 2167200*ln2^2*z2^3 + 818400*ln2*sinf*z2^3 + 
    8818848*z2^4 - 20160000*li5half*z3 + 168000*ln2^5*z3 - 
    10416000*li4half*sinf*z3 - 434000*ln2^4*sinf*z3 - 1680000*ln2^3*z2*z3 + 
    6132000*ln2^2*sinf*z2*z3 + 126000*ln2*z2^2*z3 + 11448000*sinf*z2^2*z3 - 
    567000*ln2^2*z3^2 - 8760000*ln2*sinf*z3^2 - 2583000*z2*z3^2 - 
    12096000*ln2*z2*z5 + 11808000*sinf*z2*z5 - 11975250*z3*z5 - 
    73204125*sinf*z7)/2688000, H[1, 0, -1, 1, 0, 1, 1, 0, 1] -> 
  (7482825*s8a + 15456000*s8b - 5184000*ln2*s6*sinf + 5184000*s7a*sinf + 
    5184000*s7b*sinf - 4704000*s6*z2 + 1243200*li4half*z2^2 + 
    51800*ln2^4*z2^2 - 310800*ln2^2*z2^3 - 568800*ln2*sinf*z2^3 - 
    4306668*z2^4 + 3360000*li4half*sinf*z3 + 140000*ln2^4*sinf*z3 - 
    840000*ln2^2*sinf*z2*z3 - 4158000*ln2*z2^2*z3 - 8857200*sinf*z2^2*z3 + 
    6480000*ln2*sinf*z3^2 - 3003000*z2*z3^2 - 17086500*sinf*z2*z5 + 
    25247250*z3*z5 + 54545250*sinf*z7)/1344000, 
 H[1, 0, -1, 1, 0, 1, 1, -1, 1] -> 
  (-141120000*li4half^2 - 13547520000*li8half - 5419008000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 11760000*li4half*ln2^4 - 446600*ln2^8 + 
    2658096000*ln2^2*s6 - 1274112000*ln2*s7a + 1139040000*ln2*s7b - 
    4751716725*s8a - 30521736000*s8b - 3276000000*s8c - 2905056000*s8d - 
    5419008000*li7half*sinf - 1354752000*li6half*ln2*sinf - 
    806400*ln2^7*sinf + 727776000*ln2*s6*sinf - 1235808000*s7a*sinf + 
    1572480000*s7b*sinf + 677376000*li6half*z2 - 56448000*li4half*ln2^2*z2 - 
    470400*ln2^6*z2 + 9154656000*s6*z2 - 112896000*li5half*sinf*z2 + 
    6585600*ln2^5*sinf*z2 - 490694400*li4half*z2^2 - 11625600*ln2^4*z2^2 - 
    115953600*ln2^3*sinf*z2^2 - 724802400*ln2^2*z2^3 - 
    276494400*ln2*sinf*z2^3 + 751832784*z2^4 + 5951232000*li5half*z3 - 
    246960000*li4half*ln2*z3 - 59883600*ln2^5*z3 + 35280000*li4half*sinf*z3 + 
    1470000*ln2^4*sinf*z3 + 557676000*ln2^3*z2*z3 - 
    119952000*ln2^2*sinf*z2*z3 + 3467003400*ln2*z2^2*z3 - 
    528292800*sinf*z2^2*z3 - 907042500*ln2^2*z3^2 - 
    1094940000*ln2*sinf*z3^2 + 3419041500*z2*z3^2 - 2337741000*ln2^3*z5 - 
    2720529000*ln2^2*sinf*z5 + 6406659000*ln2*z2*z5 - 4752783000*sinf*z2*z5 - 
    4115152125*z3*z5 + 11370310875*ln2*z7 + 13208406750*sinf*z7)/56448000, 
 H[1, 0, -1, 1, 0, 1, 0, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 5233200*s8a - 1512000*s8b - 8064000*s8c + 
    8064000*s8d - 2496000*ln2*s6*sinf + 2496000*s7a*sinf + 2496000*s7b*sinf + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 18144000*s6*z2 - 
    16128000*li5half*sinf*z2 - 8064000*li4half*ln2*sinf*z2 - 
    201600*ln2^5*sinf*z2 + 1612800*li4half*z2^2 - 436800*ln2^4*z2^2 + 
    672000*ln2^3*sinf*z2^2 - 201600*ln2^2*z2^3 - 1543200*ln2*sinf*z2^3 - 
    3467052*z2^4 + 12096000*li5half*z3 - 100800*ln2^5*z3 + 
    8736000*li4half*sinf*z3 + 364000*ln2^4*sinf*z3 + 1008000*ln2^3*z2*z3 - 
    2184000*ln2^2*sinf*z2*z3 + 8920800*ln2*z2^2*z3 - 2960400*sinf*z2^2*z3 + 
    1134000*ln2^2*z3^2 + 3120000*ln2*sinf*z3^2 + 2499000*z2*z3^2 + 
    24192000*ln2*z2*z5 + 2055000*sinf*z2*z5 - 3801000*z3*z5 + 
    23331375*sinf*z7)/1344000, H[1, 0, -1, 1, 0, 1, 0, 0, 1] -> 
  (-2746275*s8a - 1848000*s8b + 2688000*ln2*s6*sinf - 2688000*s7a*sinf - 
    2688000*s7b*sinf - 1276800*li4half*z2^2 - 53200*ln2^4*z2^2 + 
    319200*ln2^2*z2^3 - 924000*ln2*sinf*z2^3 + 1975646*z2^4 - 
    4032000*li4half*sinf*z3 - 168000*ln2^4*sinf*z3 + 
    1008000*ln2^2*sinf*z2*z3 + 1512000*ln2*z2^2*z3 + 5804400*sinf*z2^2*z3 - 
    3360000*ln2*sinf*z3^2 + 2730000*z2*z3^2 + 8326500*sinf*z2*z5 - 
    15235500*z3*z5 - 26423250*sinf*z7)/672000, 
 H[1, 0, -1, 1, 0, 1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    18816000*ln2^2*s6 + 30912000*ln2*s7a + 106176000*ln2*s7b - 
    148321950*s8a - 348432000*s8b - 137088000*s8c + 24192000*s8d - 
    13440000*ln2*s6*sinf - 24192000*s7a*sinf + 51072000*s7b*sinf - 
    56448000*li4half*ln2^2*z2 - 2352000*ln2^6*z2 + 19824000*s6*z2 + 
    56448000*li4half*ln2*sinf*z2 + 2352000*ln2^5*sinf*z2 - 
    53726400*li4half*z2^2 + 4817400*ln2^4*z2^2 - 14112000*ln2^3*sinf*z2^2 + 
    12860400*ln2^2*z2^3 - 168000*ln2*sinf*z2^3 + 12825408*z2^4 - 
    48384000*li5half*z3 + 98784000*li4half*ln2*z3 + 4519200*ln2^5*z3 - 
    61152000*li4half*sinf*z3 - 2548000*ln2^4*sinf*z3 - 28728000*ln2^3*z2*z3 + 
    64680000*ln2^2*sinf*z2*z3 + 31634400*ln2*z2^2*z3 + 
    26271000*sinf*z2^2*z3 + 23814000*ln2^2*z3^2 - 98448000*ln2*sinf*z3^2 + 
    140815500*z2*z3^2 - 72912000*ln2^3*z5 - 72912000*ln2^2*sinf*z5 + 
    97020000*ln2*z2*z5 - 138190500*sinf*z2*z5 - 254774625*z3*z5 + 
    385189875*ln2*z7 + 174021750*sinf*z7)/9408000, 
 H[1, 0, -1, 1, 0, 1, -1, 1, 1] -> 
  (-84672000*li4half^2 + 9031680000*li8half - 1354752000*li6half*ln2^2 - 
    301056000*li5half*ln2^3 - 7056000*li4half*ln2^4 + 704200*ln2^8 - 
    2211552000*ln2^2*s6 + 3751731900*s8a + 22123584000*s8b + 2814336000*s8c + 
    1786176000*s8d + 5419008000*li7half*sinf - 451584000*li5half*ln2^2*sinf + 
    2688000*ln2^7*sinf - 1544256000*ln2*s6*sinf + 1544256000*s7a*sinf - 
    1518048000*s7b*sinf + 1354752000*li6half*z2 + 903168000*li5half*ln2*z2 + 
    296352000*li4half*ln2^2*z2 + 3567200*ln2^6*z2 - 5068224000*s6*z2 - 
    225792000*li5half*sinf*z2 - 338688000*li4half*ln2*sinf*z2 - 
    27283200*ln2^5*sinf*z2 + 259862400*li4half*z2^2 - 10928400*ln2^4*z2^2 + 
    278947200*ln2^3*sinf*z2^2 + 428248800*ln2^2*z2^3 + 
    387021600*ln2*sinf*z2^3 - 599657256*z2^4 - 3628800000*li5half*z3 + 
    30240000*ln2^5*z3 + 366912000*li4half*sinf*z3 + 15288000*ln2^4*sinf*z3 - 
    302400000*ln2^3*z2*z3 - 313992000*ln2^2*sinf*z2*z3 - 
    3083724000*ln2*z2^2*z3 + 261802800*sinf*z2^2*z3 - 29295000*ln2^2*z3^2 + 
    1930320000*ln2*sinf*z3^2 - 3319533000*z2*z3^2 + 373674000*ln2^3*z5 + 
    3527118000*ln2^2*sinf*z5 - 9564030000*ln2*z2*z5 + 4643604000*sinf*z2*z5 + 
    3570714000*z3*z5 - 11866577625*sinf*z7)/56448000, 
 H[1, 0, -1, 1, 0, 1, -1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    48384000*ln2^2*s6 - 64955100*s8a + 3360000*s8b - 96768000*s8c + 
    96768000*s8d + 86016000*ln2*s6*sinf - 86016000*s7a*sinf - 
    10752000*s7b*sinf - 677376000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 3292800*ln2^6*z2 - 572208000*s6*z2 - 
    150528000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1097600*ln2^5*sinf*z2 + 83092800*li4half*z2^2 - 8297800*ln2^4*z2^2 + 
    1568000*ln2^3*sinf*z2^2 + 12238800*ln2^2*z2^3 - 24091200*ln2*sinf*z2^3 + 
    32013384*z2^4 + 145152000*li5half*z3 - 1209600*ln2^5*z3 - 
    51744000*li4half*sinf*z3 - 2156000*ln2^4*sinf*z3 + 12096000*ln2^3*z2*z3 + 
    12936000*ln2^2*sinf*z2*z3 + 145416600*ln2*z2^2*z3 + 
    50219400*sinf*z2^2*z3 + 13608000*ln2^2*z3^2 - 107520000*ln2*sinf*z3^2 + 
    234790500*z2*z3^2 - 72912000*ln2^2*sinf*z5 + 570559500*ln2*z2*z5 + 
    197179500*sinf*z2*z5 - 295288875*z3*z5 - 230842500*sinf*z7)/9408000, 
 H[1, 0, -1, 1, 0, 1, -1, -1, 1] -> 
  (338688000*li4half^2 + 4515840000*li8half + 5419008000*li7half*ln2 + 
    2032128000*li6half*ln2^2 + 301056000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 - 61600*ln2^8 - 212688000*ln2^2*s6 + 
    1403136000*ln2*s7a - 1179360000*ln2*s7b + 546271425*s8a + 
    7160328000*s8b + 46368000*s8c + 1110816000*s8d + 
    1354752000*li6half*ln2*sinf + 451584000*li5half*ln2^2*sinf - 
    1881600*ln2^7*sinf + 814464000*ln2*s6*sinf + 4032000*s7a*sinf + 
    88704000*s7b*sinf - 677376000*li6half*z2 - 451584000*li5half*ln2*z2 - 
    296352000*li4half*ln2^2*z2 - 7330400*ln2^6*z2 - 3209472000*s6*z2 - 
    564480000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    21168000*ln2^5*sinf*z2 + 31651200*li4half*z2^2 + 30718800*ln2^4*z2^2 - 
    195921600*ln2^3*sinf*z2^2 + 85478400*ln2^2*z2^3 - 
    339796800*ln2*sinf*z2^3 - 286957152*z2^4 - 1403136000*li5half*z3 + 
    444528000*li4half*ln2*z3 + 30214800*ln2^5*z3 - 
    155232000*li4half*sinf*z3 - 6468000*ln2^4*sinf*z3 - 
    228060000*ln2^3*z2*z3 + 372204000*ln2^2*sinf*z2*z3 - 
    138234600*ln2*z2^2*z3 + 103093200*sinf*z2^2*z3 + 1032979500*ln2^2*z3^2 - 
    690858000*ln2*sinf*z3^2 + 28948500*z2*z3^2 + 2128119000*ln2^3*z5 - 
    642537000*ln2^2*sinf*z5 + 3966480000*ln2*z2*z5 + 411516000*sinf*z2*z5 - 
    758984625*z3*z5 - 11310917625*ln2*z7 + 81963000*sinf*z7)/56448000, 
 H[1, 0, -1, 1, 0, 0, 1, 1, 1] -> (-2016000*ln2^2*s6 + 799575*s8a + 
    15120000*s8b + 4032000*s8c - 4032000*s8d - 480000*ln2*s6*sinf + 
    480000*s7a*sinf + 480000*s7b*sinf + 8064000*s6*z2 + 
    4032000*li5half*sinf*z2 - 33600*ln2^5*sinf*z2 + 5241600*li4half*z2^2 + 
    218400*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 - 1411200*ln2^2*z2^3 - 
    132000*ln2*sinf*z2^3 + 1379232*z2^4 + 1008000*li5half*z3 - 
    8400*ln2^5*z3 - 5376000*li4half*sinf*z3 - 224000*ln2^4*sinf*z3 + 
    84000*ln2^3*z2*z3 - 420000*ln2^2*sinf*z2*z3 - 6753600*ln2*z2^2*z3 + 
    744000*sinf*z2^2*z3 - 567000*ln2^2*z3^2 + 600000*ln2*sinf*z3^2 - 
    2583000*z2*z3^2 - 12096000*ln2*z2*z5 - 9253500*sinf*z2*z5 - 
    5743500*z3*z5 + 13495500*sinf*z7)/1344000, 
 H[1, 0, -1, 1, 0, 0, 1, 0, 1] -> 
  (355950*s8a - 1545600*s8b - 192000*ln2*s6*sinf + 192000*s7a*sinf + 
    192000*s7b*sinf + 672000*s6*z2 + 107520*li4half*z2^2 + 4480*ln2^4*z2^2 - 
    26880*ln2^2*z2^3 + 340320*ln2*sinf*z2^3 - 204546*z2^4 + 
    1075200*li4half*sinf*z3 + 44800*ln2^4*sinf*z3 - 268800*ln2^2*sinf*z2*z3 + 
    113400*ln2*z2^2*z3 - 602040*sinf*z2^2*z3 + 240000*ln2*sinf*z3^2 - 
    279300*z2*z3^2 - 456900*sinf*z2*z5 + 1570275*z3*z5 + 1092675*sinf*z7)/
   134400, H[1, 0, -1, 1, 0, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    200088000*ln2^2*s6 - 53424000*ln2*s7a + 87696000*ln2*s7b - 
    334370925*s8a - 1811880000*s8b - 279216000*s8c - 186480000*s8d - 
    86688000*ln2*s6*sinf + 100800000*s7a*sinf - 96768000*s7b*sinf + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 598752000*s6*z2 - 
    84672000*li4half*ln2*sinf*z2 - 3528000*ln2^5*sinf*z2 - 
    18597600*li4half*z2^2 - 2538900*ln2^4*z2^2 + 21168000*ln2^3*sinf*z2^2 - 
    62911800*ln2^2*z2^3 - 13784400*ln2*sinf*z2^3 - 11028438*z2^4 + 
    372960000*li5half*z3 + 24696000*li4half*ln2*z3 - 2079000*ln2^5*z3 + 
    56448000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 + 24906000*ln2^3*z2*z3 - 
    14112000*ln2^2*sinf*z2*z3 + 237717900*ln2*z2^2*z3 - 
    4239900*sinf*z2^2*z3 - 20128500*ln2^2*z3^2 + 140773500*ln2*sinf*z3^2 + 
    287910000*z2*z3^2 - 136710000*ln2^3*z5 + 191394000*ln2^2*sinf*z5 + 
    695693250*ln2*z2*z5 + 290430000*sinf*z2*z5 - 589703625*z3*z5 + 
    276570000*ln2*z7 - 407515500*sinf*z7)/14112000, 
 H[1, 0, -1, 1, 0, 0, 0, 1, 1] -> 
  (109200*s8a - 2100000*s8b + 384000*ln2*s6*sinf - 384000*s7a*sinf - 
    384000*s7b*sinf + 1680000*s6*z2 + 268800*li4half*z2^2 + 
    11200*ln2^4*z2^2 - 67200*ln2^2*z2^3 - 322800*ln2*sinf*z2^3 - 1478*z2^4 - 
    1344000*li4half*sinf*z3 - 56000*ln2^4*sinf*z3 + 336000*ln2^2*sinf*z2*z3 + 
    813900*sinf*z2^2*z3 - 480000*ln2*sinf*z3^2 - 278250*z2*z3^2 + 
    3417000*sinf*z2*z5 - 291375*z3*z5 - 6622125*sinf*z7)/336000, 
 H[1, 0, -1, 1, 0, 0, 0, 0, 1] -> (54075*s8a + 3528000*s8b - 1344000*s6*z2 + 
    537600*li4half*z2^2 + 22400*ln2^4*z2^2 - 134400*ln2^2*z2^3 - 
    756000*ln2*sinf*z2^3 - 212818*z2^4 - 264600*sinf*z2^2*z3 + 
    315000*z2*z3^2 - 157500*sinf*z2*z5 - 1044750*z3*z5 + 3677625*sinf*z7)/
   336000, H[1, 0, -1, 1, 0, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    102816000*ln2^2*s6 + 56448000*ln2*s7a - 169344000*ln2*s7b + 
    248281425*s8a + 1203552000*s8b + 205632000*s8c + 133056000*s8d + 
    40320000*ln2*s6*sinf + 72576000*s7a*sinf - 153216000*s7b*sinf + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 456624000*s6*z2 + 
    73886400*li4half*z2^2 - 449400*ln2^4*z2^2 + 14490000*ln2^2*z2^3 - 
    59371200*ln2*sinf*z2^3 - 32837712*z2^4 - 266112000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 1898400*ln2^5*z3 - 42336000*li4half*sinf*z3 - 
    1764000*ln2^4*sinf*z3 + 2520000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 - 
    125874000*ln2*z2^2*z3 + 66628800*sinf*z2^2*z3 + 29736000*ln2^2*z3^2 + 
    66906000*ln2*sinf*z3^2 - 210341250*z2*z3^2 + 218736000*ln2^3*z5 + 
    218736000*ln2^2*sinf*z5 - 112392000*ln2*z2*z5 + 461758500*sinf*z2*z5 + 
    546076125*z3*z5 - 561834000*ln2*z7 - 773766000*sinf*z7)/14112000, 
 H[1, 0, -1, 1, 0, 0, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    44016000*ln2^2*s6 + 100270800*s8a + 480312000*s8b + 78624000*s8c + 
    43680000*s8d + 94752000*ln2*s6*sinf - 94752000*s7a*sinf + 
    65184000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    143808000*s6*z2 + 56448000*li4half*ln2*sinf*z2 + 2352000*ln2^5*sinf*z2 + 
    5913600*li4half*z2^2 + 2010400*ln2^4*z2^2 - 14112000*ln2^3*sinf*z2^2 + 
    18849600*ln2^2*z2^3 + 13708800*ln2*sinf*z2^3 + 4344048*z2^4 - 
    87360000*li5half*z3 + 728000*ln2^5*z3 - 61152000*li4half*sinf*z3 - 
    2548000*ln2^4*sinf*z3 - 7280000*ln2^3*z2*z3 + 15288000*ln2^2*sinf*z2*z3 - 
    62517000*ln2*z2^2*z3 + 12600000*sinf*z2^2*z3 - 15981000*ln2^2*z3^2 - 
    118440000*ln2*sinf*z3^2 - 76020000*z2*z3^2 - 30380000*ln2^3*z5 - 
    200508000*ln2^2*sinf*z5 - 224773500*ln2*z2*z5 - 157521000*sinf*z2*z5 + 
    107244375*z3*z5 + 183209250*sinf*z7)/9408000, 
 H[1, 0, -1, 1, 0, 0, -1, 0, 1] -> 
  (862050*s8a + 2688000*s8b - 1728000*ln2*s6*sinf + 1728000*s7a*sinf + 
    1728000*s7b*sinf + 3696000*s6*z2 + 974400*li4half*z2^2 + 
    40600*ln2^4*z2^2 - 243600*ln2^2*z2^3 + 1036800*ln2*sinf*z2^3 + 
    131658*z2^4 + 4032000*li4half*sinf*z3 + 168000*ln2^4*sinf*z3 - 
    1008000*ln2^2*sinf*z2*z3 - 567000*ln2*z2^2*z3 - 3747600*sinf*z2^2*z3 + 
    2160000*ln2*sinf*z3^2 - 2682750*z2*z3^2 - 9765000*ln2*z2*z5 - 
    8215500*sinf*z2*z5 + 6507375*z3*z5 + 19957125*sinf*z7)/672000, 
 H[1, 0, -1, 1, 0, 0, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    78288000*ln2^2*s6 + 4032000*ln2*s7a - 90048000*ln2*s7b + 168641550*s8a + 
    678720000*s8b + 148512000*s8c + 39648000*s8d - 20832000*ln2*s6*sinf + 
    11424000*s7a*sinf - 16800000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 168672000*s6*z2 - 28224000*li4half*ln2*sinf*z2 - 
    1176000*ln2^5*sinf*z2 + 34742400*li4half*z2^2 - 2080400*ln2^4*z2^2 + 
    7056000*ln2^3*sinf*z2^2 + 9475200*ln2^2*z2^3 - 3007200*ln2*sinf*z2^3 - 
    2086872*z2^4 - 79296000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1397200*ln2^5*z3 + 28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 + 
    5740000*ln2^3*z2*z3 - 31752000*ln2^2*sinf*z2*z3 - 87481800*ln2*z2^2*z3 - 
    11516400*sinf*z2^2*z3 + 8337000*ln2^2*z3^2 + 52794000*ln2*sinf*z3^2 - 
    161437500*z2*z3^2 + 121520000*ln2^3*z5 + 72912000*ln2^2*sinf*z5 - 
    223650000*ln2*z2*z5 + 27447000*sinf*z2*z5 + 311789625*z3*z5 - 
    333385500*ln2*z7 - 23735250*sinf*z7)/9408000, 
 H[1, 0, -1, 1, 0, -1, 1, 1, 1] -> (36288000*li4half^2 - 322560000*li8half - 
    21504000*li5half*ln2^3 - 5040000*li4half*ln2^4 - 101800*ln2^8 + 
    5040000*ln2^2*s6 - 103529475*s8a - 770616000*s8b - 10080000*s8c - 
    151200000*s8d - 258048000*li7half*sinf - 10752000*li4half*ln2^3*sinf - 
    396800*ln2^7*sinf + 41760000*ln2*s6*sinf - 41760000*s7a*sinf + 
    57024000*s7b*sinf + 64512000*li5half*ln2*z2 + 12096000*li4half*ln2^2*z2 + 
    414400*ln2^6*z2 + 383040000*s6*z2 + 76608000*li5half*sinf*z2 + 
    8064000*li4half*ln2*sinf*z2 + 1310400*ln2^5*sinf*z2 - 
    52012800*li4half*z2^2 - 2083200*ln2^4*z2^2 - 10852800*ln2^3*sinf*z2^2 + 
    16574400*ln2^2*z2^3 - 4320000*ln2*sinf*z2^3 + 67189464*z2^4 + 
    15120000*li5half*z3 - 126000*ln2^5*z3 + 2016000*li4half*sinf*z3 + 
    84000*ln2^4*sinf*z3 + 1260000*ln2^3*z2*z3 - 504000*ln2^2*sinf*z2*z3 + 
    11151000*ln2*z2^2*z3 - 17150400*sinf*z2^2*z3 + 1417500*ln2^2*z3^2 - 
    52200000*ln2*sinf*z3^2 + 46777500*z2*z3^2 + 30597000*ln2^3*z5 - 
    95697000*ln2^2*sinf*z5 - 61551000*ln2*z2*z5 - 257535000*sinf*z2*z5 - 
    9946125*z3*z5 + 547949250*sinf*z7)/8064000, 
 H[1, 0, -1, 1, 0, -1, 1, 0, 1] -> (8064000*ln2^2*s6 + 19859175*s8a - 
    32760000*s8b - 16128000*s8c + 16128000*s8d - 48384000*ln2*s6*sinf + 
    48384000*s7a*sinf - 26880000*s7b*sinf + 225792000*li6half*z2 - 
    75264000*li5half*ln2*z2 - 75264000*li4half*ln2^2*z2 - 2195200*ln2^6*z2 + 
    90048000*s6*z2 + 75264000*li5half*sinf*z2 + 18816000*li4half*ln2*sinf*
     z2 + 156800*ln2^5*sinf*z2 + 24158400*li4half*z2^2 + 8846600*ln2^4*z2^2 + 
    1568000*ln2^3*sinf*z2^2 - 36229200*ln2^2*z2^3 + 6804000*ln2*sinf*z2^3 - 
    56112732*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 - 
    4704000*li4half*sinf*z3 - 196000*ln2^4*sinf*z3 + 2016000*ln2^3*z2*z3 + 
    1176000*ln2^2*sinf*z2*z3 + 642600*ln2*z2^2*z3 - 8471400*sinf*z2^2*z3 + 
    2268000*ln2^2*z3^2 + 60480000*ln2*sinf*z3^2 - 47953500*z2*z3^2 + 
    72912000*ln2^2*sinf*z5 + 155473500*ln2*z2*z5 + 903000*sinf*z2*z5 + 
    87908625*z3*z5 - 58306500*sinf*z7)/9408000, 
 H[1, 0, -1, 1, 0, -1, 1, -1, 1] -> 
  (16128000*li4half^2 + 2257920000*li8half + 774144000*li7half*ln2 + 
    96768000*li6half*ln2^2 + 21504000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 
    221600*ln2^8 - 473328000*ln2^2*s6 + 171936000*ln2*s7a - 
    237312000*ln2*s7b + 956691225*s8a + 5535432000*s8b + 707616000*s8c + 
    433440000*s8d + 1032192000*li7half*sinf + 193536000*li6half*ln2*sinf + 
    10752000*li4half*ln2^3*sinf + 512000*ln2^7*sinf - 132480000*ln2*s6*sinf + 
    237312000*s7a*sinf - 327168000*s7b*sinf - 96768000*li6half*z2 - 
    64512000*li5half*ln2*z2 - 20160000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 - 
    1489824000*s6*z2 + 96768000*li5half*sinf*z2 + 16128000*li4half*ln2*sinf*
     z2 - 2553600*ln2^5*sinf*z2 + 81446400*li4half*z2^2 + 
    4065600*ln2^4*z2^2 + 34473600*ln2^3*sinf*z2^2 + 97696800*ln2^2*z2^3 + 
    61545600*ln2*sinf*z2^3 - 108751104*z2^4 - 955584000*li5half*z3 + 
    9072000*li4half*ln2*z3 + 8341200*ln2^5*z3 - 16128000*li4half*sinf*z3 - 
    672000*ln2^4*sinf*z3 - 81900000*ln2^3*z2*z3 - 27720000*ln2^2*sinf*z2*z3 - 
    705803400*ln2*z2^2*z3 + 92700000*sinf*z2^2*z3 + 109647000*ln2^2*z3^2 + 
    285111000*ln2*sinf*z3^2 - 732816000*z2*z3^2 + 365862000*ln2^3*z5 + 
    546840000*ln2^2*sinf*z5 - 1321164000*ln2*z2*z5 + 868068000*sinf*z2*z5 + 
    896608125*z3*z5 - 1922690250*ln2*z7 - 2527362000*sinf*z7)/8064000, 
 H[1, 0, -1, 1, 0, -1, 0, 1, 1] -> 
  (-4838400*li4half^2 - 403200*li4half*ln2^4 - 8400*ln2^8 + 
    2419200*ln2^2*s6 - 1825425*s8a - 1915200*s8b - 4838400*s8c + 
    4838400*s8d - 883200*ln2*s6*sinf + 883200*s7a*sinf + 883200*s7b*sinf - 
    6451200*li6half*z2 - 4300800*li5half*ln2*z2 + 1344000*li4half*ln2^2*z2 + 
    82880*ln2^6*z2 - 13171200*s6*z2 - 7526400*li5half*sinf*z2 - 
    3763200*li4half*ln2*sinf*z2 - 94080*ln2^5*sinf*z2 + 
    2708160*li4half*z2^2 - 144760*ln2^4*z2^2 + 313600*ln2^3*sinf*z2^2 - 
    556080*ln2^2*z2^3 - 884640*ln2*sinf*z2^3 - 2067972*z2^4 + 
    7257600*li5half*z3 - 60480*ln2^5*z3 + 3091200*li4half*sinf*z3 + 
    128800*ln2^4*sinf*z3 + 604800*ln2^3*z2*z3 - 772800*ln2^2*sinf*z2*z3 + 
    5352480*ln2*z2^2*z3 - 1425720*sinf*z2^2*z3 + 680400*ln2^2*z3^2 + 
    1104000*ln2*sinf*z3^2 + 4462500*z2*z3^2 + 20634600*ln2*z2*z5 + 
    5814000*sinf*z2*z5 - 5727750*z3*z5 + 3882750*sinf*z7)/268800, 
 H[1, 0, -1, 1, 0, -1, 0, 0, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 - 806400*ln2^2*s6 + 
    360675*s8a + 1612800*s8b + 1612800*s8c - 1612800*s8d + 
    1036800*ln2*s6*sinf - 1036800*s7a*sinf - 1036800*s7b*sinf - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 + 2419200*s6*z2 - 
    937440*li4half*z2^2 + 61740*ln2^4*z2^2 + 194040*ln2^2*z2^3 - 
    531360*ln2*sinf*z2^3 + 997887*z2^4 - 2419200*li5half*z3 + 
    20160*ln2^5*z3 - 2419200*li4half*sinf*z3 - 100800*ln2^4*sinf*z3 - 
    201600*ln2^3*z2*z3 + 604800*ln2^2*sinf*z2*z3 - 1443960*ln2*z2^2*z3 + 
    1428300*sinf*z2^2*z3 - 226800*ln2^2*z3^2 - 1296000*ln2*sinf*z3^2 - 
    579600*z2*z3^2 - 4838400*ln2*z2*z5 + 3111750*sinf*z2*z5 - 59850*z3*z5 - 
    6561000*sinf*z7)/201600, H[1, 0, -1, 1, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 + 10080000*ln2*s7a - 102816000*ln2*s7b + 55112400*s8a + 
    610848000*s8b - 20160000*s8c + 189504000*s8d + 36288000*ln2*s6*sinf + 
    20160000*s7a*sinf - 92736000*s7b*sinf - 169344000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 705600*ln2^6*z2 - 583632000*s6*z2 - 
    112896000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    2116800*ln2^5*sinf*z2 + 125748000*li4half*z2^2 + 2887500*ln2^4*z2^2 - 
    16464000*ln2^3*sinf*z2^2 - 15057000*ln2^2*z2^3 - 71694000*ln2*sinf*z2^3 - 
    65431476*z2^4 - 181440000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    4662000*ln2^5*z3 - 63504000*li4half*sinf*z3 - 2646000*ln2^4*sinf*z3 + 
    21924000*ln2^3*z2*z3 + 89964000*ln2^2*sinf*z2*z3 + 92257200*ln2*z2^2*z3 + 
    66660300*sinf*z2^2*z3 - 19845000*ln2^2*z3^2 - 45360000*ln2*sinf*z3^2 + 
    41635125*z2*z3^2 + 109368000*ln2^3*z5 + 109368000*ln2^2*sinf*z5 + 
    526664250*ln2*z2*z5 + 415296000*sinf*z2*z5 + 183463875*z3*z5 - 
    411500250*ln2*z7 - 571575375*sinf*z7)/14112000, 
 H[1, 0, -1, 1, 0, -1, -1, 1, 1] -> 
  (-677376000*li4half^2 - 6773760000*li8half + 1354752000*li6half*ln2^2 + 
    451584000*li5half*ln2^3 - 873600*ln2^8 + 1849680000*ln2^2*s6 - 
    2497787775*s8a - 14843304000*s8b - 2231712000*s8c - 647136000*s8d - 
    3612672000*li7half*sinf + 451584000*li5half*ln2^2*sinf + 
    75264000*li4half*ln2^3*sinf + 89600*ln2^7*sinf + 717696000*ln2*s6*sinf - 
    717696000*s7a*sinf + 1286208000*s7b*sinf - 1354752000*li6half*z2 - 
    903168000*li5half*ln2*z2 + 98784000*li4half*ln2^2*z2 + 9760800*ln2^6*z2 + 
    1999872000*s6*z2 - 818496000*li5half*sinf*z2 - 
    508032000*li4half*ln2*sinf*z2 - 10584000*ln2^5*sinf*z2 + 
    79430400*li4half*z2^2 - 26090400*ln2^4*z2^2 - 47745600*ln2^3*sinf*z2^2 - 
    252806400*ln2^2*z2^3 - 246153600*ln2*sinf*z2^3 + 197865216*z2^4 + 
    3347568000*li5half*z3 - 27896400*ln2^5*z3 + 493920000*li4half*sinf*z3 + 
    20580000*ln2^4*sinf*z3 + 278964000*ln2^3*z2*z3 - 
    123480000*ln2^2*sinf*z2*z3 + 2468831400*ln2*z2^2*z3 - 
    555004800*sinf*z2^2*z3 + 38650500*ln2^2*z3^2 - 897120000*ln2*sinf*z3^2 + 
    2424586500*z2*z3^2 - 642537000*ln2^3*z5 - 2583819000*ln2^2*sinf*z5 + 
    7980210000*ln2*z2*z5 - 2822148000*sinf*z2*z5 - 2335165875*z3*z5 + 
    9510574500*sinf*z7)/56448000, H[1, 0, -1, 1, 0, -1, -1, 0, 1] -> 
  (6451200*li4half^2 + 537600*li4half*ln2^4 + 11200*ln2^8 - 
    3225600*ln2^2*s6 + 1442700*s8a + 6451200*s8b + 6451200*s8c - 
    6451200*s8d + 1497600*ln2*s6*sinf - 1497600*s7a*sinf - 1497600*s7b*sinf + 
    38707200*li6half*z2 + 25804800*li5half*ln2*z2 + 
    3225600*li4half*ln2^2*z2 - 26880*ln2^6*z2 + 34675200*s6*z2 + 
    6451200*li5half*sinf*z2 + 3225600*li4half*ln2*sinf*z2 + 
    80640*ln2^5*sinf*z2 - 4132800*li4half*z2^2 - 37800*ln2^4*z2^2 - 
    268800*ln2^3*sinf*z2^2 + 871920*ln2^2*z2^3 + 180000*ln2*sinf*z2^3 + 
    543024*z2^4 - 9676800*li5half*z3 + 80640*ln2^5*z3 - 
    5644800*li4half*sinf*z3 - 235200*ln2^4*sinf*z3 - 806400*ln2^3*z2*z3 + 
    1411200*ln2^2*sinf*z2*z3 - 7250040*ln2*z2^2*z3 + 2428920*sinf*z2^2*z3 - 
    907200*ln2^2*z3^2 - 1872000*ln2*sinf*z3^2 - 12379500*z2*z3^2 - 
    56070000*ln2*z2*z5 - 5113800*sinf*z2*z5 + 5082525*z3*z5 - 
    3592800*sinf*z7)/806400, H[1, 0, -1, 1, 0, -1, -1, -1, 1] -> 
  (-56448000*li4half^2 - 6773760000*li8half - 5419008000*li7half*ln2 - 
    2032128000*li6half*ln2^2 - 451584000*li5half*ln2^3 - 
    61152000*li4half*ln2^4 - 602000*ln2^8 + 603792000*ln2^2*s6 - 
    985824000*ln2*s7a + 1145088000*ln2*s7b - 1893998925*s8a - 
    11997720000*s8b - 1296288000*s8c - 905184000*s8d - 
    1806336000*li7half*sinf - 1354752000*li6half*ln2*sinf - 
    451584000*li5half*ln2^2*sinf - 75264000*li4half*ln2^3*sinf - 
    896000*ln2^7*sinf - 348768000*ln2*s6*sinf - 243936000*s7a*sinf + 
    278208000*s7b*sinf + 677376000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 3998400*ln2^6*z2 + 3207456000*s6*z2 + 
    84672000*li4half*ln2*sinf*z2 + 5409600*ln2^5*sinf*z2 - 
    93542400*li4half*z2^2 - 12129600*ln2^4*z2^2 - 21168000*ln2^3*sinf*z2^2 - 
    184111200*ln2^2*z2^3 - 91728000*ln2*sinf*z2^3 + 257744232*z2^4 + 
    1697472000*li5half*z3 - 303408000*li4half*ln2*z3 - 26787600*ln2^5*z3 - 
    70560000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 + 
    217308000*ln2^3*z2*z3 + 91728000*ln2^2*sinf*z2*z3 + 
    1190183400*ln2*z2^2*z3 - 36237600*sinf*z2^2*z3 - 696087000*ln2^2*z3^2 - 
    147483000*ln2*sinf*z3^2 + 1302084000*z2*z3^2 - 1421784000*ln2^3*z5 + 
    136710000*ln2^2*sinf*z5 - 183960000*ln2*z2*z5 - 893088000*sinf*z2*z5 - 
    627913125*z3*z5 + 11345906250*ln2*z7 + 3126422250*sinf*z7)/56448000, 
 H[1, 0, -1, 1, -1, 1, 1, 1, 1] -> (-28224000*li4half^2 + 733824000*li8half - 
    3528000*li4half*ln2^4 - 79800*ln2^8 + 44352000*ln2^2*s6 - 101644200*s8a + 
    103824000*s8b - 88704000*s8c + 116928000*s8d - 508032000*li7half*sinf + 
    100800*ln2^7*sinf + 59472000*ln2*s6*sinf - 59472000*s7a*sinf - 
    52416000*s7b*sinf + 21168000*li4half*ln2^2*z2 + 666400*ln2^6*z2 - 
    247968000*s6*z2 + 28224000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 - 235200*ln2^5*sinf*z2 + 29736000*li4half*z2^2 + 210000*ln2^4*z2^2 - 
    3645600*ln2^3*sinf*z2^2 - 18396000*ln2^2*z2^3 - 52012800*ln2*sinf*z2^3 - 
    55372752*z2^4 - 332640000*li5half*z3 + 302400*ln2^5*z3 + 
    45864000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 - 3024000*ln2^3*z2*z3 + 
    49392000*ln2^2*sinf*z2*z3 + 153165600*ln2*z2^2*z3 + 
    60933600*sinf*z2^2*z3 + 12474000*ln2^2*z3^2 - 74340000*ln2*sinf*z3^2 + 
    49770000*z2*z3^2 - 6835500*ln2^2*sinf*z5 + 266112000*ln2*z2*z5 + 
    200056500*sinf*z2*z5 - 154602000*z3*z5 - 158547375*sinf*z7)/28224000, 
 H[1, 0, -1, 1, -1, 1, 1, 0, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 
    42134400*ln2^2*s6 + 131173875*s8a + 528292800*s8b + 84268800*s8c + 
    30038400*s8d + 158054400*li7half*sinf - 31360*ln2^7*sinf - 
    44956800*ln2*s6*sinf + 44956800*s7a*sinf + 4032000*s7b*sinf + 
    50803200*li6half*z2 - 4233600*li4half*ln2^2*z2 - 105840*ln2^6*z2 - 
    117230400*s6*z2 + 2822400*li5half*sinf*z2 + 8467200*li4half*ln2*sinf*z2 + 
    987840*ln2^5*sinf*z2 - 2741760*li4half*z2^2 - 2319240*ln2^4*z2^2 + 
    1199520*ln2^3*sinf*z2^2 + 16203600*ln2^2*z2^3 + 14837760*ln2*sinf*z2^3 - 
    12517776*z2^4 - 63604800*li5half*z3 + 705600*li4half*ln2*z3 + 
    559440*ln2^5*z3 + 16228800*li4half*sinf*z3 + 676200*ln2^4*sinf*z3 - 
    11650800*ln2^3*z2*z3 - 8820000*ln2^2*sinf*z2*z3 - 106522920*ln2*z2^2*z3 - 
    33563880*sinf*z2^2*z3 - 10924200*ln2^2*z3^2 + 58048200*ln2*sinf*z3^2 - 
    103861800*z2*z3^2 + 39645900*ln2^2*sinf*z5 - 252806400*ln2*z2*z5 - 
    21590100*sinf*z2*z5 + 236229525*z3*z5 + 1789200*sinf*z7)/5644800, 
 H[1, 0, -1, 1, -1, 1, 1, -1, 1] -> 
  (-1213632000*li8half - 169344000*li7half*ln2 - 14112000*li6half*ln2^2 + 
    1176000*li4half*ln2^4 + 32900*ln2^8 - 50904000*ln2^2*s6 + 
    23184000*ln2*s7a - 82656000*ln2*s7b + 75633075*s8a - 882504000*s8b + 
    161280000*s8c - 253008000*s8d + 395136000*li7half*sinf - 
    28224000*li6half*ln2*sinf - 117600*ln2^7*sinf + 11088000*ln2*s6*sinf + 
    94752000*s7a*sinf - 131040000*s7b*sinf + 14112000*li6half*z2 - 
    7056000*li4half*ln2^2*z2 - 137200*ln2^6*z2 + 498960000*s6*z2 + 
    84672000*li5half*sinf*z2 - 1999200*ln2^5*sinf*z2 - 
    54129600*li4half*z2^2 - 4666200*ln2^4*z2^2 + 23402400*ln2^3*sinf*z2^2 + 
    8089200*ln2^2*z2^3 + 35028000*ln2*sinf*z2^3 + 114224472*z2^4 + 
    400176000*li5half*z3 + 24696000*li4half*ln2*z3 + 163800*ln2^5*z3 + 
    3087000*ln2^4*sinf*z3 + 2478000*ln2^3*z2*z3 - 134946000*ln2^2*sinf*z2*
     z3 - 126869400*ln2*z2^2*z3 - 516600*sinf*z2^2*z3 + 57456000*ln2^2*z3^2 + 
    220752000*ln2*sinf*z3^2 - 131544000*z2*z3^2 + 102532500*ln2^3*z5 + 
    218736000*ln2^2*sinf*z5 - 237730500*ln2*z2*z5 + 227934000*sinf*z2*z5 + 
    345184875*z3*z5 + 267104250*ln2*z7 - 753881625*sinf*z7)/28224000, 
 H[1, 0, -1, 1, -1, 1, 0, 1, 1] -> 
  (62092800*li4half^2 + 5174400*li4half*ln2^4 + 107800*ln2^8 - 
    32659200*ln2^2*s6 + 61642350*s8a + 367113600*s8b + 65318400*s8c + 
    2419200*s8d + 60883200*ln2*s6*sinf - 60883200*s7a*sinf + 
    52012800*s7b*sinf + 101606400*li6half*z2 - 36691200*li4half*ln2^2*z2 - 
    1387680*ln2^6*z2 - 18950400*s6*z2 + 11289600*li5half*sinf*z2 + 
    67737600*li4half*ln2*sinf*z2 + 2728320*ln2^5*sinf*z2 - 
    4314240*li4half*z2^2 + 2995440*ln2^4*z2^2 - 13171200*ln2^3*sinf*z2^2 - 
    13698720*ln2^2*z2^3 + 796320*ln2*sinf*z2^3 + 2663064*z2^4 + 
    6451200*li5half*z3 - 2822400*li4half*ln2*z3 - 171360*ln2^5*z3 - 
    73382400*li4half*sinf*z3 - 3057600*ln2^4*sinf*z3 - 8635200*ln2^3*z2*z3 + 
    7761600*ln2^2*sinf*z2*z3 - 37260720*ln2*z2^2*z3 + 17574480*sinf*z2^2*z3 - 
    12889800*ln2^2*z3^2 - 83512800*ln2*sinf*z3^2 - 92118600*z2*z3^2 - 
    109368000*ln2^2*sinf*z5 - 195955200*ln2*z2*z5 - 215762400*sinf*z2*z5 + 
    19054350*z3*z5 + 291779775*sinf*z7)/11289600, 
 H[1, 0, -1, 1, -1, 1, 0, 0, 1] -> (185472000*ln2^2*s6 - 569997225*s8a - 
    2552760000*s8b - 370944000*s8c - 193536000*s8d - 88704000*ln2*s6*sinf + 
    88704000*s7a*sinf - 193536000*s7b*sinf - 451584000*li6half*z2 - 
    627200*ln2^6*z2 + 556416000*s6*z2 - 25300800*li4half*z2^2 + 
    8353800*ln2^4*z2^2 + 42336000*ln2^3*sinf*z2^2 - 23007600*ln2^2*z2^3 - 
    31802400*ln2*sinf*z2^3 + 83805084*z2^4 + 302400000*li5half*z3 - 
    21168000*li4half*ln2*z3 - 3402000*ln2^5*z3 + 30492000*ln2^3*z2*z3 + 
    31752000*ln2^2*sinf*z2*z3 + 458249400*ln2*z2^2*z3 + 
    147281400*sinf*z2^2*z3 + 24381000*ln2^2*z3^2 + 55314000*ln2*sinf*z3^2 + 
    521199000*z2*z3^2 + 273420000*ln2^2*sinf*z5 + 1112832000*ln2*z2*z5 + 
    603792000*sinf*z2*z5 - 1008653625*z3*z5 - 1314243000*sinf*z7)/28224000, 
 H[1, 0, -1, 1, -1, 1, 0, -1, 1] -> 
  (225792000*li4half^2 + 18063360000*li8half + 7225344000*li7half*ln2 + 
    903168000*li6half*ln2^2 + 18816000*li4half*ln2^4 + 660800*ln2^8 - 
    3838464000*ln2^2*s6 + 1356768000*ln2*s7a - 2030112000*ln2*s7b + 
    7228238850*s8a + 44246160000*s8b + 5414976000*s8c + 3673152000*s8d + 
    7225344000*li7half*sinf + 1806336000*li6half*ln2*sinf + 
    1075200*ln2^7*sinf - 854784000*ln2*s6*sinf + 1306368000*s7a*sinf - 
    1516032000*s7b*sinf - 649152000*li6half*z2 - 127008000*li4half*ln2^2*z2 - 
    7448000*ln2^6*z2 - 12066768000*s6*z2 + 141120000*li5half*sinf*z2 + 
    338688000*li4half*ln2*sinf*z2 + 5409600*ln2^5*sinf*z2 + 
    776966400*li4half*z2^2 + 63537600*ln2^4*z2^2 + 55036800*ln2^3*sinf*z2^2 + 
    958154400*ln2^2*z2^3 + 418219200*ln2*sinf*z2^3 - 777724704*z2^4 - 
    7522704000*li5half*z3 - 183456000*li4half*ln2*z3 + 55045200*ln2^5*z3 - 
    366912000*li4half*sinf*z3 - 15288000*ln2^4*sinf*z3 - 
    605724000*ln2^3*z2*z3 + 329868000*ln2^2*sinf*z2*z3 - 
    4852234800*ln2*z2^2*z3 + 665532000*sinf*z2^2*z3 + 584325000*ln2^2*z3^2 + 
    932652000*ln2*sinf*z3^2 - 5483457000*z2*z3^2 + 3281040000*ln2^3*z5 + 
    2734200000*ln2^2*sinf*z5 - 10175634000*ln2*z2*z5 + 
    4497003000*sinf*z2*z5 + 5335627500*z3*z5 - 18189793125*ln2*z7 - 
    14617512000*sinf*z7)/56448000, H[1, 0, -1, 1, -1, 1, -1, 1, 1] -> 
  (-287884800*li8half + 19756800*li6half*ln2^2 + 5644800*li5half*ln2^3 + 
    235200*li4half*ln2^4 - 16940*ln2^8 + 33364800*ln2^2*s6 - 74993625*s8a - 
    448257600*s8b - 54028800*s8c - 32054400*s8d + 16934400*li7half*sinf + 
    8467200*li5half*ln2^2*sinf - 73920*ln2^7*sinf + 604800*ln2*s6*sinf - 
    604800*s7a*sinf + 3628800*s7b*sinf - 19756800*li6half*z2 - 
    16934400*li5half*ln2*z2 - 1411200*li4half*ln2^2*z2 + 254800*ln2^6*z2 + 
    100800000*s6*z2 - 8467200*li5half*sinf*z2 - 282240*ln2^5*sinf*z2 - 
    6269760*li4half*z2^2 - 531720*ln2^4*z2^2 + 1270080*ln2^3*sinf*z2^2 - 
    1738800*ln2^2*z2^3 + 181440*ln2*sinf*z2^3 + 19545696*z2^4 + 
    93744000*li5half*z3 + 1411200*li4half*ln2*z3 - 228480*ln2^5*z3 + 
    617400*ln2^4*sinf*z3 + 2520000*ln2^3*z2*z3 - 7938000*ln2^2*sinf*z2*z3 + 
    57370320*ln2*z2^2*z3 - 1519560*sinf*z2^2*z3 + 15094800*ln2^2*z3^2 + 
    2948400*ln2*sinf*z3^2 + 48636000*z2*z3^2 + 2734200*ln2^3*z5 + 
    153883800*ln2*z2*z5 - 16480800*sinf*z2*z5 - 26033175*z3*z5 + 
    27406575*sinf*z7)/5644800, H[1, 0, -1, 1, -1, 1, -1, 0, 1] -> 
  (193536000*ln2^2*s6 - 513160200*s8a - 2451456000*s8b - 387072000*s8c - 
    177408000*s8d - 903168000*li7half*sinf + 179200*ln2^7*sinf + 
    112896000*ln2*s6*sinf - 112896000*s7a*sinf + 112896000*s7b*sinf + 
    98784000*li6half*z2 + 127008000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 - 627200*ln2^6*z2 + 668808000*s6*z2 + 
    42336000*li5half*sinf*z2 - 4116000*ln2^5*sinf*z2 - 
    32659200*li4half*z2^2 + 15985200*ln2^4*z2^2 - 18110400*ln2^3*sinf*z2^2 - 
    85226400*ln2^2*z2^3 - 84420000*ln2*sinf*z2^3 - 38707632*z2^4 + 
    217224000*li5half*z3 - 28224000*li4half*ln2*z3 - 2986200*ln2^5*z3 + 
    56028000*ln2^3*z2*z3 + 60858000*ln2^2*sinf*z2*z3 + 
    418055400*ln2*z2^2*z3 - 2116800*sinf*z2^2*z3 + 17388000*ln2^2*z3^2 - 
    215208000*ln2*sinf*z3^2 + 472878000*z2*z3^2 - 218736000*ln2^2*sinf*z5 + 
    1222735500*ln2*z2*z5 - 304069500*sinf*z2*z5 - 786295125*z3*z5 + 
    1177029000*sinf*z7)/28224000, H[1, 0, -1, 1, -1, 1, -1, -1, 1] -> 
  (84672000*li4half^2 + 2201472000*li8half + 338688000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 5880000*li4half*ln2^4 + 
    242200*ln2^8 - 329616000*ln2^2*s6 + 60480000*ln2*s7a - 66528000*ln2*s7b + 
    603769950*s8a + 4470984000*s8b + 453600000*s8c + 414288000*s8d + 
    310464000*li7half*sinf + 84672000*li6half*ln2*sinf - 
    42336000*li5half*ln2^2*sinf + 408800*ln2^7*sinf - 85680000*ln2*s6*sinf + 
    64512000*s7a*sinf - 20160000*s7b*sinf - 42336000*li6half*z2 + 
    42336000*li5half*ln2*z2 - 35280000*li4half*ln2^2*z2 - 2881200*ln2^6*z2 - 
    1251936000*s6*z2 + 42336000*li5half*sinf*z2 + 127008000*li4half*ln2*sinf*
     z2 + 6232800*ln2^5*sinf*z2 + 97675200*li4half*z2^2 + 
    10302600*ln2^4*z2^2 - 29870400*ln2^3*sinf*z2^2 + 65746800*ln2^2*z2^3 + 
    12146400*ln2*sinf*z2^3 - 92530728*z2^4 - 892080000*li5half*z3 - 
    81144000*li4half*ln2*z3 + 1583400*ln2^5*z3 - 137592000*li4half*sinf*z3 - 
    8820000*ln2^4*sinf*z3 - 29358000*ln2^3*z2*z3 + 
    179928000*ln2^2*sinf*z2*z3 - 401612400*ln2*z2^2*z3 + 
    92232000*sinf*z2^2*z3 - 123574500*ln2^2*z3^2 - 133686000*ln2*sinf*z3^2 - 
    400396500*z2*z3^2 + 109368000*ln2^3*z5 + 61519500*ln2^2*sinf*z5 - 
    1140898500*ln2*z2*z5 + 82372500*sinf*z2*z5 + 92515500*z3*z5 - 
    1053226125*ln2*z7 - 572158125*sinf*z7)/28224000, 
 H[1, 0, -1, 1, -1, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    8064000*ln2^2*s6 + 35757225*s8a + 425880000*s8b - 16128000*s8c + 
    16128000*s8d + 197568000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 - 32256000*s6*z2 - 98784000*li5half*sinf*z2 + 
    823200*ln2^5*sinf*z2 + 6753600*li4half*z2^2 - 600600*ln2^4*z2^2 - 
    8232000*ln2^3*sinf*z2^2 - 42109200*ln2^2*z2^3 - 4939200*ln2*sinf*z2^3 - 
    6547104*z2^4 + 338184000*li5half*z3 + 3528000*li4half*ln2*z3 - 
    2671200*ln2^5*z3 + 27300000*ln2^3*z2*z3 - 60858000*ln2^2*sinf*z2*z3 - 
    133333200*ln2*z2^2*z3 - 119158200*sinf*z2^2*z3 + 6898500*ln2^2*z3^2 + 
    9261000*ln2*sinf*z3^2 + 5701500*z2*z3^2 - 191394000*ln2^2*sinf*z5 + 
    48384000*ln2*z2*z5 - 585648000*sinf*z2*z5 - 227957625*z3*z5 + 
    1420295625*sinf*z7)/28224000, H[1, 0, -1, 1, -1, 0, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    8064000*ln2^2*s6 - 35757225*s8a - 425880000*s8b + 16128000*s8c - 
    16128000*s8d + 185472000*ln2*s6*sinf - 185472000*s7a*sinf - 
    185472000*s7b*sinf + 56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 
    173376000*s6*z2 - 112896000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*
     z2 - 6115200*ln2^5*sinf*z2 + 34171200*li4half*z2^2 - 
    5632200*ln2^4*z2^2 + 32928000*ln2^3*sinf*z2^2 + 126000*ln2^2*z2^3 + 
    29484000*ln2*sinf*z2^3 + 13129764*z2^4 - 108864000*li5half*z3 + 
    42336000*li4half*ln2*z3 + 2671200*ln2^5*z3 + 14112000*li4half*sinf*z3 + 
    588000*ln2^4*sinf*z3 - 19656000*ln2^3*z2*z3 - 67032000*ln2^2*sinf*z2*z3 + 
    51219000*ln2*z2^2*z3 + 157663800*sinf*z2^2*z3 + 53298000*ln2^2*z3^2 - 
    120708000*ln2*sinf*z3^2 - 21136500*z2*z3^2 - 48384000*ln2*z2*z5 + 
    690795000*sinf*z2*z5 + 55526625*z3*z5 - 1541153250*sinf*z7)/28224000, 
 H[1, 0, -1, 1, -1, 0, 1, -1, 1] -> 
  (-32256000*li4half^2 - 3870720000*li8half - 1548288000*li7half*ln2 - 
    193536000*li6half*ln2^2 - 2688000*li4half*ln2^4 - 113600*ln2^8 + 
    928080000*ln2^2*s6 - 364608000*ln2*s7a + 514368000*ln2*s7b - 
    1757698425*s8a - 10196424000*s8b - 1336608000*s8c - 804384000*s8d - 
    1548288000*li7half*sinf - 387072000*li6half*ln2*sinf - 
    230400*ln2^7*sinf + 124416000*ln2*s6*sinf - 334080000*s7a*sinf + 
    423936000*s7b*sinf + 193536000*li6half*z2 + 60480000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1209600*ln2^6*z2 + 2784096000*s6*z2 - 
    96768000*li5half*sinf*z2 - 48384000*li4half*ln2*sinf*z2 + 
    403200*ln2^5*sinf*z2 - 164908800*li4half*z2^2 - 10903200*ln2^4*z2^2 - 
    26409600*ln2^3*sinf*z2^2 - 203536800*ln2^2*z2^3 - 
    79833600*ln2*sinf*z2^3 + 170455392*z2^4 + 1689408000*li5half*z3 + 
    13104000*li4half*ln2*z3 - 13532400*ln2^5*z3 + 52416000*li4half*sinf*z3 + 
    2184000*ln2^4*sinf*z3 + 153384000*ln2^3*z2*z3 + 
    30744000*ln2^2*sinf*z2*z3 + 1237048200*ln2*z2^2*z3 - 
    136598400*sinf*z2^2*z3 - 225180000*ln2^2*z3^2 - 332361000*ln2*sinf*z3^2 + 
    1348893000*z2*z3^2 - 851508000*ln2^3*z5 - 734328000*ln2^2*sinf*z5 + 
    2452311000*ln2*z2*z5 - 1158372000*sinf*z2*z5 - 1586237625*z3*z5 + 
    3847106250*ln2*z7 + 3479544000*sinf*z7)/8064000, 
 H[1, 0, -1, 1, -1, 0, 0, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    25200000*ln2^2*s6 + 12699225*s8a - 142380000*s8b + 50400000*s8c - 
    50400000*s8d - 81648000*ln2*s6*sinf + 81648000*s7a*sinf - 
    59472000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 
    171360000*s6*z2 + 112896000*li5half*sinf*z2 - 940800*ln2^5*sinf*z2 - 
    1612800*li4half*z2^2 - 949200*ln2^4*z2^2 + 9408000*ln2^3*sinf*z2^2 + 
    19555200*ln2^2*z2^3 + 5947200*ln2*sinf*z2^3 + 30063126*z2^4 - 
    54432000*li5half*z3 - 10584000*li4half*ln2*z3 + 12600*ln2^5*z3 - 
    1890000*ln2^3*z2*z3 + 15876000*ln2^2*sinf*z2*z3 - 54167400*ln2*z2^2*z3 + 
    14187600*sinf*z2^2*z3 - 20979000*ln2^2*z3^2 + 74277000*ln2*sinf*z3^2 - 
    10347750*z2*z3^2 + 136710000*ln2^2*sinf*z5 - 151200000*ln2*z2*z5 + 
    159925500*sinf*z2*z5 - 13056750*z3*z5 - 399112875*sinf*z7)/14112000, 
 H[1, 0, -1, 1, -1, 0, 0, 0, 1] -> (1075200*ln2^2*s6 + 1314600*s8a + 
    13977600*s8b - 2150400*s8c + 2150400*s8d + 2419200*ln2*s6*sinf - 
    2419200*s7a*sinf + 5107200*s7b*sinf - 9004800*s6*z2 + 
    100800*li4half*z2^2 + 4200*ln2^4*z2^2 - 1181040*ln2^2*z2^3 - 
    110880*ln2*sinf*z2^3 - 1616462*z2^4 + 3225600*li5half*z3 - 
    26880*ln2^5*z3 + 268800*ln2^3*z2*z3 - 267120*ln2*z2^2*z3 - 
    4149600*sinf*z2^2*z3 + 302400*ln2^2*z3^2 - 3024000*ln2*sinf*z3^2 + 
    936600*z2*z3^2 - 7291200*ln2^2*sinf*z5 + 6451200*ln2*z2*z5 - 
    16178400*sinf*z2*z5 + 1365000*z3*z5 + 38371725*sinf*z7)/940800, 
 H[1, 0, -1, 1, -1, 0, 0, -1, 1] -> (14784000*ln2^2*s6 + 17808000*ln2*s7a - 
    19824000*ln2*s7b - 23638650*s8a - 133728000*s8b - 18144000*s8c - 
    10080000*s8d + 8064000*ln2*s6*sinf + 38976000*s7a*sinf - 
    64512000*s7b*sinf + 22512000*s6*z2 + 18816000*li5half*sinf*z2 - 
    156800*ln2^5*sinf*z2 - 2604000*li4half*z2^2 - 108500*ln2^4*z2^2 + 
    1568000*ln2^3*sinf*z2^2 - 13729800*ln2^2*z2^3 - 17883600*ln2*sinf*z2^3 - 
    8717584*z2^4 + 14280000*li5half*z3 + 3528000*li4half*ln2*z3 + 
    28000*ln2^5*z3 + 308000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 + 
    9145500*ln2*z2^2*z3 + 15180900*sinf*z2^2*z3 + 24738000*ln2^2*z3^2 + 
    48573000*ln2*sinf*z3^2 + 20094375*z2*z3^2 + 36456000*ln2^3*z5 + 
    100254000*ln2^2*sinf*z5 + 113841000*ln2*z2*z5 + 168409500*sinf*z2*z5 + 
    4929750*z3*z5 + 22304625*ln2*z7 - 291632250*sinf*z7)/4704000, 
 H[1, 0, -1, 1, -1, 0, -1, 1, 1] -> 
  (225792000*li4half^2 + 9031680000*li8half - 1354752000*li6half*ln2^2 - 
    301056000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 1243200*ln2^8 - 
    2496816000*ln2^2*s6 + 4245962175*s8a + 23230872000*s8b + 3525984000*s8c + 
    1356768000*s8d + 5419008000*li7half*sinf - 451584000*li5half*ln2^2*sinf + 
    2688000*ln2^7*sinf - 1044288000*ln2*s6*sinf + 1044288000*s7a*sinf - 
    1241856000*s7b*sinf + 1354752000*li6half*z2 + 479808000*li5half*ln2*z2 - 
    197568000*li4half*ln2^2*z2 - 13484800*ln2^6*z2 - 4421088000*s6*z2 + 
    451584000*li5half*sinf*z2 + 338688000*li4half*ln2*sinf*z2 - 
    4704000*ln2^5*sinf*z2 + 291110400*li4half*z2^2 + 59169600*ln2^4*z2^2 + 
    166051200*ln2^3*sinf*z2^2 + 417362400*ln2^2*z2^3 + 
    521337600*ln2*sinf*z2^3 - 367024032*z2^4 - 3496752000*li5half*z3 - 
    56448000*li4half*ln2*z3 + 26787600*ln2^5*z3 - 366912000*li4half*sinf*z3 - 
    15288000*ln2^4*sinf*z3 - 388416000*ln2^3*z2*z3 - 
    45864000*ln2^2*sinf*z2*z3 - 3363658200*ln2*z2^2*z3 + 
    477338400*sinf*z2^2*z3 - 391986000*ln2^2*z3^2 + 
    1157184000*ln2*sinf*z3^2 - 3583377000*z2*z3^2 + 145824000*ln2^3*z5 + 
    2433438000*ln2^2*sinf*z5 - 10881801000*ln2*z2*z5 + 
    3498894000*sinf*z2*z5 + 2720017125*z3*z5 - 11476584000*sinf*z7)/56448000, 
 H[1, 0, -1, 1, -1, 0, -1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    9676800*ln2^2*s6 - 4132800*s8a + 27014400*s8b - 19353600*s8c + 
    19353600*s8d + 18547200*ln2*s6*sinf - 18547200*s7a*sinf + 
    4032000*s7b*sinf - 203212800*li6half*z2 - 67737600*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 + 517440*ln2^6*z2 - 134668800*s6*z2 - 
    33868800*li5half*sinf*z2 - 16934400*li4half*ln2*sinf*z2 - 
    423360*ln2^5*sinf*z2 + 7328160*li4half*z2^2 - 1811460*ln2^4*z2^2 + 
    1411200*ln2^3*sinf*z2^2 + 6922440*ln2^2*z2^3 - 2837520*ln2*sinf*z2^3 + 
    16028724*z2^4 + 27619200*li5half*z3 + 5644800*li4half*ln2*z3 + 
    5040*ln2^5*z3 + 1411200*li4half*sinf*z3 + 58800*ln2^4*sinf*z3 + 
    890400*ln2^3*z2*z3 - 8820000*ln2^2*sinf*z2*z3 + 16294320*ln2*z2^2*z3 - 
    1908900*sinf*z2^2*z3 + 10130400*ln2^2*z3^2 - 8366400*ln2*sinf*z3^2 + 
    37612575*z2*z3^2 - 21873600*ln2^2*sinf*z5 + 90871200*ln2*z2*z5 + 
    8397900*sinf*z2*z5 - 1485225*z3*z5 + 29693475*sinf*z7)/2822400, 
 H[1, 0, -1, 1, -1, 0, -1, -1, 1] -> 
  (-169344000*li4half^2 + 18063360000*li8half + 10838016000*li7half*ln2 + 
    2709504000*li6half*ln2^2 + 301056000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 742000*ln2^8 - 3397968000*ln2^2*s6 + 
    2316384000*ln2*s7a - 3384864000*ln2*s7b + 7219262925*s8a + 
    42701400000*s8b + 5098464000*s8c + 3650976000*s8d + 
    5419008000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf - 1075200*ln2^7*sinf + 
    239904000*ln2*s6*sinf + 1227744000*s7a*sinf - 1735776000*s7b*sinf - 
    1354752000*li6half*z2 - 451584000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 6664000*ln2^6*z2 - 12410496000*s6*z2 - 
    225792000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*z2 - 
    4939200*ln2^5*sinf*z2 + 687859200*li4half*z2^2 + 8668800*ln2^4*z2^2 + 
    44688000*ln2^3*sinf*z2^2 + 738460800*ln2^2*z2^3 - 
    17589600*ln2*sinf*z2^3 - 988918272*z2^4 - 6871536000*li5half*z3 + 
    155232000*li4half*ln2*z3 + 63730800*ln2^5*z3 + 
    296352000*li4half*sinf*z3 + 12348000*ln2^4*sinf*z3 - 
    611436000*ln2^3*z2*z3 - 306936000*ln2^2*sinf*z2*z3 - 
    4658207400*ln2*z2^2*z3 + 322459200*sinf*z2^2*z3 + 1929123000*ln2^2*z3^2 + 
    1391796000*ln2*sinf*z3^2 - 5382121500*z2*z3^2 + 5377260000*ln2^3*z5 + 
    2652174000*ln2^2*sinf*z5 - 4955454000*ln2*z2*z5 + 5278329000*sinf*z2*z5 + 
    6622142625*z3*z5 - 26092954125*ln2*z7 - 13184521875*sinf*z7)/56448000, 
 H[1, 0, -1, 1, -1, -1, 1, 1, 1] -> (50803200*li4half^2 - 124185600*li8half - 
    11289600*li5half*ln2^3 + 470400*li4half*ln2^4 + 22400*ln2^8 - 
    10281600*ln2^2*s6 - 30106125*s8a - 240206400*s8b + 20563200*s8c - 
    91123200*s8d - 203212800*li7half*sinf - 5644800*li4half*ln2^3*sinf - 
    194880*ln2^7*sinf + 32659200*ln2*s6*sinf - 32659200*s7a*sinf + 
    108460800*s7b*sinf + 33868800*li5half*ln2*z2 - 196000*ln2^6*z2 + 
    217526400*s6*z2 + 33868800*li5half*sinf*z2 + 16934400*li4half*ln2*sinf*
     z2 + 846720*ln2^5*sinf*z2 - 58302720*li4half*z2^2 - 2370480*ln2^4*z2^2 - 
    10584000*ln2^3*sinf*z2^2 + 2681280*ln2^2*z2^3 - 1784160*ln2*sinf*z2^3 + 
    48791592*z2^4 + 55238400*li5half*z3 - 1411200*li4half*ln2*z3 + 
    468720*ln2^5*z3 + 4233600*li4half*sinf*z3 + 1411200*ln2^4*sinf*z3 + 
    2486400*ln2^3*z2*z3 - 22226400*ln2^2*sinf*z2*z3 - 48114360*ln2*z2^2*z3 - 
    48646080*sinf*z2^2*z3 - 4743900*ln2^2*z3^2 - 44528400*ln2*sinf*z3^2 + 
    6318900*z2*z3^2 + 21873600*ln2^3*z5 - 136710000*ln2^2*sinf*z5 - 
    127310400*ln2*z2*z5 - 387840600*sinf*z2*z5 - 40907475*z3*z5 + 
    857803275*sinf*z7)/11289600, H[1, 0, -1, 1, -1, -1, 1, 0, 1] -> 
  (-183456000*li4half^2 - 15288000*li4half*ln2^4 - 318500*ln2^8 + 
    78624000*ln2^2*s6 - 146596275*s8a - 847728000*s8b - 157248000*s8c + 
    9072000*s8d - 338688000*li7half*sinf + 67200*ln2^7*sinf + 
    149184000*ln2*s6*sinf - 149184000*s7a*sinf - 92736000*s7b*sinf + 
    254016000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 + 260568000*s6*z2 - 
    14112000*li5half*sinf*z2 - 127008000*li4half*ln2*sinf*z2 - 
    6585600*ln2^5*sinf*z2 + 80841600*li4half*z2^2 + 2927400*ln2^4*z2^2 + 
    17169600*ln2^3*sinf*z2^2 - 87620400*ln2^2*z2^3 - 11844000*ln2*sinf*z2^3 - 
    83247084*z2^4 + 168840000*li5half*z3 + 45864000*li4half*ln2*z3 + 
    504000*ln2^5*z3 + 7056000*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 + 
    33474000*ln2^3*z2*z3 - 52038000*ln2^2*sinf*z2*z3 + 
    149788800*ln2*z2^2*z3 + 85755600*sinf*z2^2*z3 + 82309500*ln2^2*z3^2 - 
    66087000*ln2*sinf*z3^2 + 56416500*z2*z3^2 - 54684000*ln2^2*sinf*z5 + 
    635796000*ln2*z2*z5 + 277924500*sinf*z2*z5 - 142569000*z3*z5 - 
    479957625*sinf*z7)/28224000, H[1, 0, -1, 1, -1, -1, 1, -1, 1] -> 
  (-84672000*li4half^2 - 677376000*li8half - 564480000*li7half*ln2 - 
    84672000*li6half*ln2^2 + 56448000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 144200*ln2^8 + 339696000*ln2^2*s6 - 
    155232000*ln2*s7a + 338688000*ln2*s7b - 504048825*s8a - 2904552000*s8b - 
    538272000*s8c - 139104000*s8d + 338688000*li7half*sinf - 
    169344000*li6half*ln2*sinf + 28224000*li4half*ln2^3*sinf + 
    873600*ln2^7*sinf - 145152000*ln2*s6*sinf - 24192000*s7a*sinf - 
    165312000*s7b*sinf + 84672000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 2116800*ln2^6*z2 + 701568000*s6*z2 - 
    84672000*li4half*ln2*sinf*z2 - 5644800*ln2^5*sinf*z2 - 
    91324800*li4half*z2^2 + 7484400*ln2^4*z2^2 + 58564800*ln2^3*sinf*z2^2 - 
    52970400*ln2^2*z2^3 + 71366400*ln2*sinf*z2^3 - 31997592*z2^4 + 
    362880000*li5half*z3 + 197568000*li4half*ln2*z3 + 268800*ln2^5*z3 + 
    148176000*li4half*sinf*z3 - 6804000*ln2^3*z2*z3 - 
    37044000*ln2^2*sinf*z2*z3 + 227669400*ln2*z2^2*z3 - 
    19152000*sinf*z2^2*z3 + 15277500*ln2^2*z3^2 + 237006000*ln2*sinf*z3^2 + 
    380551500*z2*z3^2 - 587853000*ln2^3*z5 + 136710000*ln2^2*sinf*z5 + 
    932589000*ln2*z2*z5 + 490014000*sinf*z2*z5 - 155192625*z3*z5 + 
    1585064250*ln2*z7 - 1216671750*sinf*z7)/56448000, 
 H[1, 0, -1, 1, -1, -1, 0, 1, 1] -> 
  (-169344000*li4half^2 - 14112000*li4half*ln2^4 - 294000*ln2^8 + 
    107856000*ln2^2*s6 - 124565175*s8a - 513576000*s8b - 215712000*s8c + 
    131040000*s8d - 102816000*ln2*s6*sinf + 102816000*s7a*sinf - 
    52416000*s7b*sinf - 282240000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    65856000*li4half*ln2^2*z2 + 3292800*ln2^6*z2 - 360864000*s6*z2 - 
    178752000*li5half*sinf*z2 - 141120000*li4half*ln2*sinf*z2 - 
    4390400*ln2^5*sinf*z2 + 81244800*li4half*z2^2 - 6022800*ln2^4*z2^2 + 
    16856000*ln2^3*sinf*z2^2 + 1041600*ln2^2*z2^3 - 31214400*ln2*sinf*z2^3 - 
    67543008*z2^4 + 116592000*li5half*z3 - 11760000*li4half*ln2*z3 - 
    1461600*ln2^5*z3 + 127008000*li4half*sinf*z3 + 5292000*ln2^4*sinf*z3 + 
    29120000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 + 
    204174600*ln2*z2^2*z3 - 28442400*sinf*z2^2*z3 + 14899500*ln2^2*z3^2 + 
    97650000*ln2*sinf*z3^2 + 246235500*z2*z3^2 + 150381000*ln2^2*sinf*z5 + 
    865872000*ln2*z2*z5 + 444738000*sinf*z2*z5 - 165094125*z3*z5 - 
    388731000*sinf*z7)/18816000, H[1, 0, -1, 1, -1, -1, 0, 0, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    186480000*ln2^2*s6 + 393153075*s8a + 1943424000*s8b + 372960000*s8c + 
    50400000*s8d + 88704000*ln2*s6*sinf - 88704000*s7a*sinf + 
    94752000*s7b*sinf + 338688000*li6half*z2 - 70560000*li4half*ln2^2*z2 - 
    2469600*ln2^6*z2 - 256032000*s6*z2 + 28224000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 3292800*ln2^5*sinf*z2 + 
    13608000*li4half*z2^2 + 2331000*ln2^4*z2^2 - 50568000*ln2^3*sinf*z2^2 + 
    21898800*ln2^2*z2^3 - 12297600*ln2*sinf*z2^3 + 1162152*z2^4 - 
    404208000*li5half*z3 - 28224000*li4half*ln2*z3 + 2192400*ln2^5*z3 - 
    197568000*li4half*sinf*z3 - 8232000*ln2^4*sinf*z3 - 
    26628000*ln2^3*z2*z3 + 91728000*ln2^2*sinf*z2*z3 - 
    351817200*ln2*z2^2*z3 - 25212600*sinf*z2^2*z3 - 89491500*ln2^2*z3^2 - 
    184968000*ln2*sinf*z3^2 - 391954500*z2*z3^2 - 177723000*ln2^2*sinf*z5 - 
    1118880000*ln2*z2*z5 - 317362500*sinf*z2*z5 + 608406750*z3*z5 + 
    696622500*sinf*z7)/28224000, H[1, 0, -1, 1, -1, -1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2257920000*li8half - 903168000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 2352000*li4half*ln2^4 - 82600*ln2^8 + 
    506520000*ln2^2*s6 - 197568000*ln2*s7a + 197568000*ln2*s7b - 
    907218900*s8a - 5315184000*s8b - 667296000*s8c - 405216000*s8d - 
    903168000*li7half*sinf - 225792000*li6half*ln2*sinf - 134400*ln2^7*sinf + 
    106848000*ln2*s6*sinf - 156240000*s7a*sinf + 165984000*s7b*sinf + 
    42336000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    9408000*li4half*ln2^2*z2 + 842800*ln2^6*z2 + 1336104000*s6*z2 - 
    32928000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    2391200*ln2^5*sinf*z2 - 33768000*li4half*z2^2 - 5229000*ln2^4*z2^2 - 
    25793600*ln2^3*sinf*z2^2 - 130250400*ln2^2*z2^3 - 
    85411200*ln2*sinf*z2^3 + 87383316*z2^4 + 865704000*li5half*z3 - 
    101136000*li4half*ln2*z3 - 11428200*ln2^5*z3 - 38808000*li4half*sinf*z3 - 
    1617000*ln2^4*sinf*z3 + 101542000*ln2^3*z2*z3 + 
    56448000*ln2^2*sinf*z2*z3 + 705621000*ln2*z2^2*z3 - 
    24935400*sinf*z2^2*z3 - 157752000*ln2^2*z3^2 - 204561000*ln2*sinf*z3^2 + 
    718105500*z2*z3^2 - 382788000*ln2^3*z5 - 312154500*ln2^2*sinf*z5 + 
    1463868000*ln2*z2*z5 - 465160500*sinf*z2*z5 - 748886250*z3*z5 + 
    1953244125*ln2*z7 + 1628757375*sinf*z7)/9408000, 
 H[1, 0, -1, 1, -1, -1, -1, 1, 1] -> 
  (-197568000*li4half^2 + 2032128000*li8half - 84672000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 60200*ln2^8 - 
    259056000*ln2^2*s6 + 828083025*s8a + 4108104000*s8b + 546336000*s8c + 
    356832000*s8d + 733824000*li7half*sinf - 28224000*li5half*ln2^2*sinf + 
    28224000*li4half*ln2^3*sinf + 1265600*ln2^7*sinf - 
    284256000*ln2*s6*sinf + 284256000*s7a*sinf - 40320000*s7b*sinf + 
    84672000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 784000*ln2^6*z2 - 1179360000*s6*z2 - 
    141120000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    7996800*ln2^5*sinf*z2 + 140515200*li4half*z2^2 + 5854800*ln2^4*z2^2 + 
    65620800*ln2^3*sinf*z2^2 + 71013600*ln2^2*z2^3 + 
    120052800*ln2*sinf*z2^3 - 187033176*z2^4 - 473760000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 3049200*ln2^5*z3 + 162288000*li4half*sinf*z3 + 
    588000*ln2^4*sinf*z3 - 14784000*ln2^3*z2*z3 - 40572000*ln2^2*sinf*z2*z3 - 
    480904200*ln2*z2^2*z3 - 57909600*sinf*z2^2*z3 - 183991500*ln2^2*z3^2 + 
    225666000*ln2*sinf*z3^2 - 468625500*z2*z3^2 - 246078000*ln2^3*z5 + 
    109368000*ln2^2*sinf*z5 - 1228878000*ln2*z2*z5 + 535626000*sinf*z2*z5 + 
    250511625*z3*z5 - 1127889000*sinf*z7)/56448000, 
 H[1, 0, -1, 1, -1, -1, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    181440000*ln2^2*s6 + 341935650*s8a + 2446416000*s8b + 362880000*s8c + 
    116928000*s8d + 903168000*li7half*sinf - 179200*ln2^7*sinf + 
    82656000*ln2*s6*sinf - 82656000*s7a*sinf - 167328000*s7b*sinf - 
    649152000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    98784000*li4half*ln2^2*z2 + 2508800*ln2^6*z2 - 614880000*s6*z2 - 
    84672000*li5half*sinf*z2 + 4468800*ln2^5*sinf*z2 - 9072000*li4half*z2^2 - 
    22134000*ln2^4*z2^2 + 21638400*ln2^3*sinf*z2^2 + 162388800*ln2^2*z2^3 + 
    54583200*ln2*sinf*z2^3 + 226987704*z2^4 - 113904000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 3301200*ln2^5*z3 - 268128000*li4half*sinf*z3 - 
    11172000*ln2^4*sinf*z3 - 85344000*ln2^3*z2*z3 - 
    54684000*ln2^2*sinf*z2*z3 - 345693600*ln2*z2^2*z3 + 
    137541600*sinf*z2^2*z3 + 23058000*ln2^2*z3^2 + 44856000*ln2*sinf*z3^2 - 
    404460000*z2*z3^2 + 82026000*ln2^2*sinf*z5 - 2031939000*ln2*z2*z5 + 
    288225000*sinf*z2*z5 + 384741000*z3*z5 - 1326835125*sinf*z7)/56448000, 
 H[1, 0, -1, 1, -1, -1, -1, -1, 1] -> 
  (-16934400*li4half^2 - 259660800*li8half + 45158400*li7half*ln2 + 
    22579200*li6half*ln2^2 - 7526400*li5half*ln2^3 - 5174400*li4half*ln2^4 - 
    107520*ln2^8 + 26006400*ln2^2*s6 + 11289600*ln2*s7a - 50803200*ln2*s7b - 
    69969375*s8a - 416203200*s8b - 52012800*s8c - 15724800*s8d - 
    124185600*li7half*sinf + 11289600*li6half*ln2*sinf + 
    5644800*li5half*ln2^2*sinf - 5644800*li4half*ln2^3*sinf - 
    241920*ln2^7*sinf + 31449600*ln2*s6*sinf - 3225600*s7a*sinf - 
    6048000*s7b*sinf - 5644800*li6half*z2 - 5644800*li5half*ln2*z2 + 
    16934400*li4half*ln2^2*z2 + 956480*ln2^6*z2 + 51206400*s6*z2 - 
    28224000*li5half*sinf*z2 + 658560*ln2^5*sinf*z2 + 7862400*li4half*z2^2 - 
    3035760*ln2^4*z2^2 - 9455040*ln2^3*sinf*z2^2 - 14565600*ln2^2*z2^3 - 
    37185120*ln2*sinf*z2^3 - 769392*z2^4 + 68140800*li5half*z3 - 
    33868800*li4half*ln2*z3 - 991200*ln2^5*z3 + 4233600*li4half*sinf*z3 + 
    1411200*ln2^4*sinf*z3 + 11676000*ln2^3*z2*z3 - 1058400*ln2^2*sinf*z2*z3 + 
    80400600*ln2*z2^2*z3 - 342720*sinf*z2^2*z3 + 28923300*ln2^2*z3^2 - 
    5972400*ln2*sinf*z3^2 + 51225300*z2*z3^2 + 109368000*ln2^3*z5 + 
    43747200*ln2^2*sinf*z5 + 266200200*ln2*z2*z5 + 17854200*sinf*z2*z5 + 
    23154075*z3*z5 - 132233850*ln2*z7 + 137984175*sinf*z7)/11289600, 
 H[1, 0, -1, 0, 1, 1, 1, 1, 1] -> (-403200*li4half^2 - 33600*li4half*ln2^4 - 
    700*ln2^8 - 26775*s8a - 403200*ln2*s6*sinf + 403200*s7a*sinf + 
    403200*s7b*sinf + 201600*li4half*ln2^2*z2 + 8400*ln2^6*z2 - 
    403200*li5half*sinf*z2 - 403200*li4half*ln2*sinf*z2 - 
    13440*ln2^5*sinf*z2 - 262080*li4half*z2^2 - 36120*ln2^4*z2^2 + 
    67200*ln2^3*sinf*z2^2 + 65520*ln2^2*z2^3 + 70560*ln2*sinf*z2^3 + 
    176724*z2^4 + 705600*li5half*z3 - 5880*ln2^5*z3 + 
    705600*li4half*sinf*z3 + 29400*ln2^4*sinf*z3 + 58800*ln2^3*z2*z3 - 
    352800*ln2^2*sinf*z2*z3 - 229320*ln2*z2^2*z3 - 448560*sinf*z2^2*z3 + 
    504000*ln2*sinf*z3^2 - 823200*sinf*z2*z5 - 755475*z3*z5 + 
    2769375*sinf*z7)/268800, H[1, 0, -1, 0, 1, 1, 1, 0, 1] -> 
  (479325*s8a + 2688000*ln2*s6*sinf - 2688000*s7a*sinf - 2688000*s7b*sinf + 
    1512000*li4half*z2^2 + 63000*ln2^4*z2^2 - 378000*ln2^2*z2^3 - 
    470400*ln2*sinf*z2^3 - 699388*z2^4 - 4704000*li4half*sinf*z3 - 
    196000*ln2^4*sinf*z3 + 1176000*ln2^2*sinf*z2*z3 + 1323000*ln2*z2^2*z3 + 
    3599400*sinf*z2^2*z3 - 3360000*ln2*sinf*z3^2 - 304500*z2*z3^2 + 
    9135000*sinf*z2*z5 + 847875*z3*z5 - 22078875*sinf*z7)/1344000, 
 H[1, 0, -1, 0, 1, 1, 1, -1, 1] -> (28224000*li4half^2 + 2257920000*li8half + 
    903168000*li7half*ln2 + 112896000*li6half*ln2^2 + 2352000*li4half*ln2^4 + 
    82600*ln2^8 - 279216000*ln2^2*s6 + 78624000*ln2*s7a - 231840000*ln2*s7b + 
    681963975*s8a + 4197816000*s8b + 457632000*s8c + 360864000*s8d + 
    903168000*li7half*sinf + 225792000*li6half*ln2*sinf + 134400*ln2^7*sinf - 
    110880000*ln2*s6*sinf + 167328000*s7a*sinf - 284256000*s7b*sinf - 
    112896000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 901600*ln2^6*z2 - 
    1159200000*s6*z2 + 56448000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 2116800*ln2^5*sinf*z2 + 73584000*li4half*z2^2 + 
    7182000*ln2^4*z2^2 - 470400*ln2^3*sinf*z2^2 + 79178400*ln2^2*z2^3 + 
    23738400*ln2*sinf*z2^3 - 139271904*z2^4 - 792288000*li5half*z3 - 
    98784000*li4half*ln2*z3 + 2486400*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    2352000*ln2^4*sinf*z3 - 50148000*ln2^3*z2*z3 + 
    114660000*ln2^2*sinf*z2*z3 - 417727800*ln2*z2^2*z3 + 
    121237200*sinf*z2^2*z3 - 1354500*ln2^2*z3^2 + 138600000*ln2*sinf*z3^2 - 
    493384500*z2*z3^2 + 300762000*ln2^3*z5 + 437472000*ln2^2*sinf*z5 - 
    682164000*ln2*z2*z5 + 872046000*sinf*z2*z5 + 535476375*z3*z5 - 
    2003644125*ln2*z7 - 2465985375*sinf*z7)/56448000, 
 H[1, 0, -1, 0, 1, 1, 0, 1, 1] -> 
  (-906325*s8a + 315328*z2^4 - 12600*sinf*z2^2*z3 + 402500*z2*z3^2 - 
    1564500*sinf*z2*z5 - 1867250*z3*z5 + 2689750*sinf*z7)/448000, 
 H[1, 0, -1, 0, 1, 1, 0, 0, 1] -> 
  (-75600*s8a + 287374*z2^4 + 642600*sinf*z2^2*z3 + 63000*z2*z3^2 + 
    483000*sinf*z2*z5 - 1842750*z3*z5 - 2816625*sinf*z7)/672000, 
 H[1, 0, -1, 0, 1, 1, 0, -1, 1] -> (-336000*ln2^2*s6 + 672000*ln2*s7a + 
    672000*ln2*s7b - 862575*s8a + 3192000*s8b - 672000*s8c + 672000*s8d - 
    672000*ln2*s6*sinf + 672000*s7a*sinf + 672000*s7b*sinf - 1344000*s6*z2 + 
    134400*li4half*z2^2 + 5600*ln2^4*z2^2 + 100800*ln2^2*z2^3 + 
    117600*ln2*sinf*z2^3 + 598368*z2^4 - 1344000*li5half*z3 + 
    11200*ln2^5*z3 - 112000*ln2^3*z2*z3 - 331800*ln2*z2^2*z3 - 
    75600*sinf*z2^2*z3 + 420000*ln2^2*z3^2 - 189000*ln2*sinf*z3^2 + 
    889875*z2*z3^2 + 42000*ln2*z2*z5 - 2576700*sinf*z2*z5 - 3570000*z3*z5 - 
    1645875*ln2*z7 + 4840500*sinf*z7)/940800, 
 H[1, 0, -1, 0, 1, 1, -1, 1, 1] -> (50803200*li4half^2 - 451584000*li8half + 
    67737600*li6half*ln2^2 + 15052800*li5half*ln2^3 + 4233600*li4half*ln2^4 + 
    45640*ln2^8 + 59875200*ln2^2*s6 - 141565725*s8a - 804283200*s8b - 
    68947200*s8c - 94752000*s8d - 270950400*li7half*sinf + 
    22579200*li5half*ln2^2*sinf - 134400*ln2^7*sinf + 89510400*ln2*s6*sinf - 
    89510400*s7a*sinf + 96768000*s7b*sinf - 67737600*li6half*z2 - 
    45158400*li5half*ln2*z2 - 25401600*li4half*ln2^2*z2 - 619360*ln2^6*z2 + 
    245952000*s6*z2 + 62092800*li5half*sinf*z2 + 50803200*li4half*ln2*sinf*
     z2 + 2352000*ln2^5*sinf*z2 - 26570880*li4half*z2^2 - 283920*ln2^4*z2^2 - 
    17122560*ln2^3*sinf*z2^2 - 13930560*ln2^2*z2^3 - 12317760*ln2*sinf*z2^3 + 
    59108328*z2^4 + 103420800*li5half*z3 - 861840*ln2^5*z3 - 
    55036800*li4half*sinf*z3 - 2293200*ln2^4*sinf*z3 + 13910400*ln2^3*z2*z3 + 
    3175200*ln2^2*sinf*z2*z3 + 68334840*ln2*z2^2*z3 - 11168640*sinf*z2^2*z3 + 
    4800600*ln2^2*z3^2 - 111888000*ln2*sinf*z3^2 + 108511200*z2*z3^2 - 
    7291200*ln2^3*z5 - 191394000*ln2^2*sinf*z5 + 228715200*ln2*z2*z5 - 
    381805200*sinf*z2*z5 - 121449825*z3*z5 + 775640250*sinf*z7)/11289600, 
 H[1, 0, -1, 0, 1, 1, -1, 0, 1] -> (-7728000*ln2^2*s6 + 11669700*s8a - 
    31080000*s8b + 15456000*s8c - 15456000*s8d - 8736000*ln2*s6*sinf + 
    8736000*s7a*sinf - 10080000*s7b*sinf + 84672000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 117600*ln2^6*z2 + 74424000*s6*z2 + 
    18816000*li5half*sinf*z2 - 156800*ln2^5*sinf*z2 - 7089600*li4half*z2^2 + 
    292600*ln2^4*z2^2 + 1568000*ln2^3*sinf*z2^2 - 1209600*ln2^2*z2^3 + 
    5947200*ln2*sinf*z2^3 - 6761218*z2^4 - 11424000*li5half*z3 + 
    95200*ln2^5*z3 + 14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 - 
    952000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 - 9895200*ln2*z2^2*z3 + 
    163800*sinf*z2^2*z3 - 2173500*ln2^2*z3^2 + 10920000*ln2*sinf*z3^2 - 
    27596625*z2*z3^2 + 18228000*ln2^2*sinf*z5 - 60039000*ln2*z2*z5 + 
    23583000*sinf*z2*z5 + 36282750*z3*z5 - 76558125*sinf*z7)/4704000, 
 H[1, 0, -1, 0, 1, 1, -1, -1, 1] -> 
  (-12902400*li7half*ln2 - 6451200*li6half*ln2^2 - 1075200*li5half*ln2^3 + 
    2560*ln2^8 - 1425600*ln2^2*s6 - 1699200*ln2*s7a + 4550400*ln2*s7b + 
    6451200*li7half*sinf - 3225600*li6half*ln2*sinf - 
    1612800*li5half*ln2^2*sinf + 7680*ln2^7*sinf - 4838400*ln2*s6*sinf + 
    2217600*s7a*sinf - 2016000*s7b*sinf + 1612800*li6half*z2 + 
    1612800*li5half*ln2*z2 - 20160*ln2^6*z2 + 1310400*s6*z2 + 
    3225600*li5half*sinf*z2 - 67200*ln2^5*sinf*z2 + 100800*ln2^4*z2^2 + 
    725760*ln2^3*sinf*z2^2 + 739440*ln2^2*z2^3 + 1755360*ln2*sinf*z2^3 + 
    42228*z2^4 - 4435200*li5half*z3 + 36960*ln2^5*z3 - 621600*ln2^3*z2*z3 + 
    378000*ln2^2*sinf*z2*z3 - 2832840*ln2*z2^2*z3 + 662760*sinf*z2^2*z3 - 
    1701900*ln2^2*z3^2 + 2916900*ln2*sinf*z3^2 - 166950*z2*z3^2 - 
    5533500*ln2^3*z5 + 4882500*ln2^2*sinf*z5 - 14343300*ln2*z2*z5 + 
    3773700*sinf*z2*z5 + 3046050*z3*z5 + 31962825*ln2*z7 - 17129700*sinf*z7)/
   806400, H[1, 0, -1, 0, 1, 0, 1, 1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 + 26775*s8a + 
    1612800*ln2*s6*sinf - 1612800*s7a*sinf - 1612800*s7b*sinf - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 + 1612800*li5half*sinf*z2 + 
    1612800*li4half*ln2*sinf*z2 + 53760*ln2^5*sinf*z2 + 
    1048320*li4half*z2^2 + 144480*ln2^4*z2^2 - 268800*ln2^3*sinf*z2^2 - 
    262080*ln2^2*z2^3 - 282240*ln2*sinf*z2^3 - 242496*z2^4 - 
    2822400*li5half*z3 + 23520*ln2^5*z3 - 2822400*li4half*sinf*z3 - 
    117600*ln2^4*sinf*z3 - 235200*ln2^3*z2*z3 + 1411200*ln2^2*sinf*z2*z3 + 
    917280*ln2*z2^2*z3 + 2123520*sinf*z2^2*z3 - 2016000*ln2*sinf*z3^2 - 
    504000*z2*z3^2 + 4210500*sinf*z2*z5 + 1316700*z3*z5 - 13689375*sinf*z7)/
   268800, H[1, 0, -1, 0, 1, 0, 1, 0, 1] -> 
  (1008525*s8a - 2688000*ln2*s6*sinf + 2688000*s7a*sinf + 2688000*s7b*sinf - 
    1512000*li4half*z2^2 - 63000*ln2^4*z2^2 + 378000*ln2^2*z2^3 + 
    470400*ln2*sinf*z2^3 - 330831*z2^4 + 4704000*li4half*sinf*z3 + 
    196000*ln2^4*sinf*z3 - 1176000*ln2^2*sinf*z2*z3 - 1323000*ln2*z2^2*z3 - 
    3969000*sinf*z2^2*z3 + 3360000*ln2*sinf*z3^2 - 535500*z2*z3^2 - 
    8862000*sinf*z2*z5 + 5641125*z3*z5 + 22758750*sinf*z7)/336000, 
 H[1, 0, -1, 0, 1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    102816000*ln2^2*s6 + 56448000*ln2*s7a + 56448000*ln2*s7b + 78772050*s8a - 
    24192000*s8b + 92736000*s8c - 92736000*s8d - 40320000*ln2*s6*sinf + 
    40320000*s7a*sinf + 40320000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 185472000*s6*z2 - 169344000*li4half*ln2*sinf*z2 - 
    7056000*ln2^5*sinf*z2 - 21369600*li4half*z2^2 - 4418400*ln2^4*z2^2 + 
    42336000*ln2^3*sinf*z2^2 + 12902400*ln2^2*z2^3 + 47577600*ln2*sinf*z2^3 + 
    14844888*z2^4 + 185472000*li5half*z3 + 197568000*li4half*ln2*z3 + 
    6686400*ln2^5*z3 + 112896000*li4half*sinf*z3 + 4704000*ln2^4*sinf*z3 - 
    33936000*ln2^3*z2*z3 - 176400000*ln2^2*sinf*z2*z3 - 
    209752200*ln2*z2^2*z3 - 89737200*sinf*z2^2*z3 + 116172000*ln2^2*z3^2 + 
    167706000*ln2*sinf*z3^2 - 102627000*z2*z3^2 - 405657000*ln2*z2*z5 - 
    217665000*sinf*z2*z5 + 103477500*z3*z5 + 568834875*ln2*z7 + 
    528239250*sinf*z7)/28224000, H[1, 0, -1, 0, 1, 0, 0, 1, 1] -> 
  (-299075*s8a + 85088*z2^4 + 25200*sinf*z2^2*z3 + 35000*z2*z3^2 - 
    416500*sinf*z2*z5 - 325500*z3*z5 + 629125*sinf*z7)/224000, 
 H[1, 0, -1, 0, 1, 0, 0, 0, 1] -> 
  (6300*s8a + 29963*z2^4 + 88200*sinf*z2^2*z3 + 63000*z2*z3^2 + 
    105000*sinf*z2*z5 - 211750*z3*z5 - 560000*sinf*z7)/56000, 
 H[1, 0, -1, 0, 1, 0, 0, -1, 1] -> (-2016000*ln2^2*s6 + 4032000*ln2*s7a + 
    4032000*ln2*s7b - 2452275*s8a + 5040000*s8b - 4032000*s8c + 4032000*s8d - 
    4032000*ln2*s6*sinf + 4032000*s7a*sinf + 4032000*s7b*sinf - 
    8064000*s6*z2 + 806400*li4half*z2^2 + 33600*ln2^4*z2^2 + 
    604800*ln2^2*z2^3 + 705600*ln2*sinf*z2^3 - 91904*z2^4 - 
    8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 - 
    1990800*ln2*z2^2*z3 - 630000*sinf*z2^2*z3 + 2520000*ln2^2*z3^2 - 
    1134000*ln2*sinf*z3^2 + 4690000*z2*z3^2 + 252000*ln2*z2*z5 - 
    6062000*sinf*z2*z5 - 5256125*z3*z5 + 18128250*ln2*z7 + 13724375*sinf*z7)/
   1568000, H[1, 0, -1, 0, 1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    24864000*ln2^2*s6 - 21946575*s8a - 21336000*s8b - 49728000*s8c + 
    49728000*s8d - 17472000*ln2*s6*sinf + 17472000*s7a*sinf + 
    17472000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    99456000*s6*z2 - 112896000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 1411200*ln2^5*sinf*z2 + 18412800*li4half*z2^2 - 
    2760800*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 - 3360000*ln2^2*z2^3 - 
    10449600*ln2*sinf*z2^3 - 24589932*z2^4 + 98112000*li5half*z3 - 
    817600*ln2^5*z3 + 61152000*li4half*sinf*z3 + 2548000*ln2^4*sinf*z3 + 
    8176000*ln2^3*z2*z3 - 15288000*ln2^2*sinf*z2*z3 + 67212600*ln2*z2^2*z3 - 
    26367600*sinf*z2^2*z3 + 1848000*ln2^2*z3^2 + 21840000*ln2*sinf*z3^2 + 
    23772000*z2*z3^2 + 136395000*ln2*z2*z5 + 69657000*sinf*z2*z5 - 
    60676875*z3*z5 + 86861250*sinf*z7)/9408000, 
 H[1, 0, -1, 0, 1, 0, -1, 0, 1] -> (-1959*z2^4 - 2520*sinf*z2^2*z3 + 
    8750*z2*z3^2 - 22400*sinf*z2*z5 - 2450*z3*z5 + 44100*sinf*z7)/22400, 
 H[1, 0, -1, 0, 1, 0, -1, -1, 1] -> (-32000*ln2*s6*sinf + 32000*s7a*sinf + 
    32000*s7b*sinf + 5600*ln2*sinf*z2^3 + 5568*z2^4 - 5280*sinf*z2^2*z3 - 
    9000*ln2*sinf*z3^2 + 12250*z2*z3^2 - 45000*sinf*z2*z5 - 56175*z3*z5 + 
    104325*sinf*z7)/44800, H[1, 0, -1, 0, 1, -1, 1, 1, 1] -> 
  (-592704000*li4half^2 + 1128960000*li8half + 75264000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 452200*ln2^8 + 202608000*ln2^2*s6 - 
    10711575*s8a + 1473192000*s8b - 405216000*s8c + 772128000*s8d + 
    903168000*li7half*sinf + 37632000*li4half*ln2^3*sinf + 
    1388800*ln2^7*sinf - 227808000*ln2*s6*sinf + 227808000*s7a*sinf - 
    506016000*s7b*sinf - 225792000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 5605600*ln2^6*z2 - 1727712000*s6*z2 - 
    762048000*li5half*sinf*z2 - 366912000*li4half*ln2*sinf*z2 - 
    14582400*ln2^5*sinf*z2 + 463478400*li4half*z2^2 + 5787600*ln2^4*z2^2 + 
    76204800*ln2^3*sinf*z2^2 - 94449600*ln2^2*z2^3 - 75952800*ln2*sinf*z2^3 - 
    415247832*z2^4 + 269136000*li5half*z3 - 2242800*ln2^5*z3 + 
    246960000*li4half*sinf*z3 + 10290000*ln2^4*sinf*z3 - 
    4032000*ln2^3*z2*z3 + 75852000*ln2^2*sinf*z2*z3 + 677413800*ln2*z2^2*z3 + 
    169470000*sinf*z2^2*z3 + 56983500*ln2^2*z3^2 + 284760000*ln2*sinf*z3^2 + 
    75253500*z2*z3^2 - 63798000*ln2^3*z5 + 710892000*ln2^2*sinf*z5 + 
    1407042000*ln2*z2*z5 + 2472498000*sinf*z2*z5 - 335514375*z3*z5 - 
    4144714875*sinf*z7)/56448000, H[1, 0, -1, 0, 1, -1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    1344000*ln2^2*s6 + 13392225*s8a + 50400000*s8b - 2688000*s8c + 
    2688000*s8d - 6720000*ln2*s6*sinf + 6720000*s7a*sinf + 
    44352000*s7b*sinf - 56448000*li6half*z2 + 18816000*li5half*ln2*z2 + 
    4704000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 50064000*s6*z2 - 
    18816000*li5half*sinf*z2 + 9408000*li4half*ln2*sinf*z2 + 
    548800*ln2^5*sinf*z2 - 19689600*li4half*z2^2 - 1016400*ln2^4*z2^2 - 
    3920000*ln2^3*sinf*z2^2 + 10180800*ln2^2*z2^3 - 2906400*ln2*sinf*z2^3 + 
    2899796*z2^4 - 19488000*li5half*z3 + 162400*ln2^5*z3 + 
    18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 - 1624000*ln2^3*z2*z3 - 
    4704000*ln2^2*sinf*z2*z3 - 17606400*ln2*z2^2*z3 - 38123400*sinf*z2^2*z3 + 
    378000*ln2^2*z3^2 + 8400000*ln2*sinf*z3^2 + 8998500*z2*z3^2 - 
    36456000*ln2^2*sinf*z5 - 7885500*ln2*z2*z5 - 124404000*sinf*z2*z5 + 
    54718125*z3*z5 + 323644125*sinf*z7)/4704000, 
 H[1, 0, -1, 0, 1, -1, 1, -1, 1] -> 
  (-112896000*li4half^2 - 3386880000*li8half - 903168000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    37632000*li4half*ln2^4 - 806400*ln2^8 + 340704000*ln2^2*s6 - 
    175392000*ln2*s7a - 34272000*ln2*s7b - 583433550*s8a - 5168016000*s8b - 
    302400000*s8c - 628992000*s8d - 1806336000*li7half*sinf - 
    225792000*li6half*ln2*sinf - 37632000*li4half*ln2^3*sinf - 
    1523200*ln2^7*sinf + 431424000*ln2*s6*sinf - 403200000*s7a*sinf + 
    612864000*s7b*sinf + 112896000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    225792000*li4half*ln2^2*z2 + 9408000*ln2^6*z2 + 1709568000*s6*z2 - 
    225792000*li5half*sinf*z2 - 225792000*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 - 80640000*li4half*z2^2 - 36288000*ln2^4*z2^2 - 
    26342400*ln2^3*sinf*z2^2 - 88351200*ln2^2*z2^3 - 90115200*ln2*sinf*z2^3 + 
    219383712*z2^4 + 1427328000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    14246400*ln2^5*z3 + 169344000*li4half*sinf*z3 + 7056000*ln2^4*sinf*z3 + 
    168336000*ln2^3*z2*z3 - 317520000*ln2^2*sinf*z2*z3 + 
    513374400*ln2*z2^2*z3 - 306734400*sinf*z2^2*z3 - 49266000*ln2^2*z3^2 - 
    249102000*ln2*sinf*z3^2 + 312354000*z2*z3^2 - 72912000*ln2^3*z5 - 
    984312000*ln2^2*sinf*z5 + 812070000*ln2*z2*z5 - 1800288000*sinf*z2*z5 - 
    225177750*z3*z5 + 949843125*ln2*z7 + 5264784000*sinf*z7)/56448000, 
 H[1, 0, -1, 0, 1, -1, 0, 1, 1] -> 
  (4838400*li4half^2 + 403200*li4half*ln2^4 + 8400*ln2^8 - 2419200*ln2^2*s6 + 
    1825425*s8a + 1915200*s8b + 4838400*s8c - 4838400*s8d + 
    1190400*ln2*s6*sinf - 1190400*s7a*sinf - 1190400*s7b*sinf + 
    3225600*li6half*z2 + 2150400*li5half*ln2*z2 - 1881600*li4half*ln2^2*z2 - 
    91840*ln2^6*z2 + 10886400*s6*z2 + 8601600*li5half*sinf*z2 + 
    4300800*li4half*ln2*sinf*z2 + 107520*ln2^5*sinf*z2 - 
    2231040*li4half*z2^2 + 187040*ln2^4*z2^2 - 358400*ln2^3*sinf*z2^2 + 
    436800*ln2^2*z2^3 + 885120*ln2*sinf*z2^3 + 2209788*z2^4 - 
    7257600*li5half*z3 + 60480*ln2^5*z3 - 4166400*li4half*sinf*z3 - 
    173600*ln2^4*sinf*z3 - 604800*ln2^3*z2*z3 + 1041600*ln2^2*sinf*z2*z3 - 
    5415480*ln2*z2^2*z3 + 1904640*sinf*z2^2*z3 - 680400*ln2^2*z3^2 - 
    1488000*ln2*sinf*z3^2 - 3280200*z2*z3^2 - 16338000*ln2*z2*z5 - 
    6175800*sinf*z2*z5 + 4622625*z3*z5 - 5365800*sinf*z7)/268800, 
 H[1, 0, -1, 0, 1, -1, 0, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 5074650*s8a - 19152000*s8b - 8064000*s8c + 
    8064000*s8d - 5184000*ln2*s6*sinf + 5184000*s7a*sinf + 5184000*s7b*sinf + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 8064000*s6*z2 - 
    201600*li4half*z2^2 - 512400*ln2^4*z2^2 + 252000*ln2^2*z2^3 + 
    4471200*ln2*sinf*z2^3 - 1986114*z2^4 + 12096000*li5half*z3 - 
    100800*ln2^5*z3 + 18144000*li4half*sinf*z3 + 756000*ln2^4*sinf*z3 + 
    1008000*ln2^3*z2*z3 - 4536000*ln2^2*sinf*z2*z3 + 6085800*ln2*z2^2*z3 - 
    3418200*sinf*z2^2*z3 + 1134000*ln2^2*z3^2 + 6480000*ln2*sinf*z3^2 + 
    4599000*z2*z3^2 + 24192000*ln2*z2*z5 - 9841500*sinf*z2*z5 - 
    9473625*z3*z5 + 3754125*sinf*z7)/2016000, 
 H[1, 0, -1, 0, 1, -1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    14112000*ln2^2*s6 + 66528000*ln2*s7a + 179424000*ln2*s7b - 
    173457900*s8a - 616896000*s8b - 161280000*s8c - 8064000*s8d - 
    56448000*ln2*s6*sinf + 112896000*s7b*sinf + 84672000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 2116800*ln2^6*z2 + 
    160776000*s6*z2 + 56448000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 705600*ln2^5*sinf*z2 - 86284800*li4half*z2^2 + 2872800*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 + 23133600*ln2^2*z2^3 + 40924800*ln2*sinf*z2^3 + 
    1777176*z2^4 - 82656000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    6862800*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 
    43932000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 - 53978400*ln2*z2^2*z3 - 
    21697200*sinf*z2^2*z3 + 76293000*ln2^2*z3^2 - 59094000*ln2*sinf*z3^2 + 
    158334750*z2*z3^2 - 109368000*ln2^3*z5 - 109368000*ln2^2*sinf*z5 - 
    94594500*ln2*z2*z5 - 339790500*sinf*z2*z5 - 189181125*z3*z5 + 
    937959750*ln2*z7 + 499542750*sinf*z7)/14112000, 
 H[1, 0, -1, 0, 1, -1, -1, 1, 1] -> (33868800*li4half^2 + 112896000*li8half - 
    33868800*li6half*ln2^2 - 15052800*li5half*ln2^3 + 22400*ln2^8 - 
    34473600*ln2^2*s6 + 26299350*s8a + 158659200*s8b + 43545600*s8c - 
    23788800*s8d + 45158400*li7half*sinf - 11289600*li5half*ln2^2*sinf - 
    3763200*li4half*ln2^3*sinf - 71680*ln2^7*sinf + 3830400*ln2*s6*sinf - 
    3830400*s7a*sinf - 22176000*s7b*sinf + 33868800*li6half*z2 + 
    22579200*li5half*ln2*z2 - 11289600*li4half*ln2^2*z2 - 533120*ln2^6*z2 + 
    50400000*s6*z2 + 47980800*li5half*sinf*z2 + 33868800*li4half*ln2*sinf*
     z2 + 1199520*ln2^5*sinf*z2 - 12660480*li4half*z2^2 + 
    1354080*ln2^4*z2^2 - 4468800*ln2^3*sinf*z2^2 + 191520*ln2^2*z2^3 + 
    4304160*ln2*sinf*z2^3 + 10100952*z2^4 - 61790400*li5half*z3 + 
    514920*ln2^5*z3 - 33868800*li4half*sinf*z3 - 1411200*ln2^4*sinf*z3 - 
    5149200*ln2^3*z2*z3 + 11113200*ln2^2*sinf*z2*z3 - 44026920*ln2*z2^2*z3 + 
    20134800*sinf*z2^2*z3 - 3676050*ln2^2*z3^2 - 4788000*ln2*sinf*z3^2 - 
    35283150*z2*z3^2 + 18228000*ln2^3*z5 + 35544600*ln2^2*sinf*z5 - 
    166181400*ln2*z2*z5 + 10413900*sinf*z2*z5 - 1589175*z3*z5 - 
    156340800*sinf*z7)/5644800, H[1, 0, -1, 0, 1, -1, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    5040000*ln2^2*s6 + 11338425*s8a - 139104000*s8b - 10080000*s8c + 
    10080000*s8d - 62496000*ln2*s6*sinf + 62496000*s7a*sinf + 
    6048000*s7b*sinf - 84672000*li6half*z2 - 141120000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 117600*ln2^6*z2 - 30744000*s6*z2 - 
    28224000*li4half*ln2*sinf*z2 - 1176000*ln2^5*sinf*z2 + 
    5544000*li4half*z2^2 + 819000*ln2^4*z2^2 + 7056000*ln2^3*sinf*z2^2 - 
    8920800*ln2^2*z2^3 + 21268800*ln2*sinf*z2^3 - 11218542*z2^4 + 
    50400000*li5half*z3 - 420000*ln2^5*z3 + 134064000*li4half*sinf*z3 + 
    5586000*ln2^4*sinf*z3 + 4200000*ln2^3*z2*z3 - 33516000*ln2^2*sinf*z2*z3 + 
    19530000*ln2*z2^2*z3 - 52983000*sinf*z2^2*z3 + 1417500*ln2^2*z3^2 + 
    78120000*ln2*sinf*z3^2 + 2984625*z2*z3^2 + 54684000*ln2^2*sinf*z5 + 
    211380750*ln2*z2*z5 + 17514000*sinf*z2*z5 + 89113500*z3*z5 + 
    24656625*sinf*z7)/14112000, H[1, 0, -1, 0, 1, -1, -1, -1, 1] -> 
  (112896000*li4half^2 + 1128960000*li8half + 903168000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    37632000*li4half*ln2^4 + 593600*ln2^8 + 116928000*ln2^2*s6 + 
    62496000*ln2*s7a + 245952000*ln2*s7b - 229365675*s8a - 775656000*s8b - 
    231840000*s8c - 78624000*s8d + 451584000*li7half*sinf + 
    225792000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 851200*ln2^7*sinf - 114912000*ln2*s6*sinf - 
    12096000*s7a*sinf + 157248000*s7b*sinf - 112896000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 112896000*li4half*ln2^2*z2 - 
    4860800*ln2^6*z2 + 375984000*s6*z2 + 169344000*li5half*sinf*z2 - 
    4233600*ln2^5*sinf*z2 - 93340800*li4half*z2^2 + 10222800*ln2^4*z2^2 + 
    30105600*ln2^3*sinf*z2^2 + 20210400*ln2^2*z2^3 + 
    152208000*ln2*sinf*z2^3 - 37298448*z2^4 - 26208000*li5half*z3 + 
    225792000*li4half*ln2*z3 + 9626400*ln2^5*z3 - 21168000*li4half*sinf*z3 - 
    882000*ln2^4*sinf*z3 - 67452000*ln2^3*z2*z3 + 5292000*ln2^2*sinf*z2*z3 - 
    44440200*ln2*z2^2*z3 - 30214800*sinf*z2^2*z3 + 59125500*ln2^2*z3^2 - 
    69363000*ln2*sinf*z3^2 + 237825000*z2*z3^2 - 360003000*ln2^3*z5 - 
    341775000*ln2^2*sinf*z5 + 145026000*ln2*z2*z5 - 457947000*sinf*z2*z5 - 
    630511875*z3*z5 + 318858750*ln2*z7 + 55424250*sinf*z7)/56448000, 
 H[1, 0, -1, 0, 0, 1, 1, 1, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 1216950*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 - 2016000*li5half*sinf*z2 - 
    2016000*li4half*ln2*sinf*z2 - 67200*ln2^5*sinf*z2 - 
    1310400*li4half*z2^2 - 180600*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 + 
    327600*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 - 942348*z2^4 + 
    3528000*li5half*z3 - 29400*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    147000*ln2^4*sinf*z3 + 294000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    1146600*ln2*z2^2*z3 - 3234000*sinf*z2^2*z3 + 2520000*ln2*sinf*z3^2 + 
    420000*z2*z3^2 - 5260500*sinf*z2*z5 + 5021625*z3*z5 + 18978750*sinf*z7)/
   672000, H[1, 0, -1, 0, 0, 1, 1, 0, 1] -> 
  (-2532075*s8a + 2688000*ln2*s6*sinf - 2688000*s7a*sinf - 2688000*s7b*sinf + 
    1512000*li4half*z2^2 + 63000*ln2^4*z2^2 - 378000*ln2^2*z2^3 - 
    470400*ln2*sinf*z2^3 + 1477088*z2^4 - 4704000*li4half*sinf*z3 - 
    196000*ln2^4*sinf*z3 + 1176000*ln2^2*sinf*z2*z3 + 1323000*ln2*z2^2*z3 + 
    4674600*sinf*z2^2*z3 - 3360000*ln2*sinf*z3^2 + 1711500*z2*z3^2 + 
    8379000*sinf*z2*z5 - 13264125*z3*z5 - 24273375*sinf*z7)/672000, 
 H[1, 0, -1, 0, 0, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    156240000*ln2^2*s6 + 116928000*ln2*s7a - 94752000*ln2*s7b + 
    238954275*s8a + 1753920000*s8b + 149184000*s8c + 274176000*s8d + 
    54432000*ln2*s6*sinf + 16128000*s7a*sinf - 26208000*s7b*sinf - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 795312000*s6*z2 + 
    84672000*li4half*ln2*sinf*z2 + 3528000*ln2^5*sinf*z2 + 
    56246400*li4half*z2^2 + 4107600*ln2^4*z2^2 - 21168000*ln2^3*sinf*z2^2 + 
    45183600*ln2^2*z2^3 - 20109600*ln2*sinf*z2^3 - 11231316*z2^4 - 
    548352000*li5half*z3 - 98784000*li4half*ln2*z3 + 453600*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 - 21000000*ln2^3*z2*z3 + 
    40572000*ln2^2*sinf*z2*z3 - 100837800*ln2*z2^2*z3 + 
    50311800*sinf*z2^2*z3 + 68733000*ln2^2*z3^2 - 92736000*ln2*sinf*z3^2 - 
    143860500*z2*z3^2 + 205065000*ln2^3*z5 + 41013000*ln2^2*sinf*z5 - 
    162603000*ln2*z2*z5 + 111384000*sinf*z2*z5 + 461183625*z3*z5 - 
    779751000*ln2*z7 - 246550500*sinf*z7)/28224000, 
 H[1, 0, -1, 0, 0, 1, 0, 1, 1] -> 
  (1419075*s8a - 413048*z2^4 - 390600*sinf*z2^2*z3 + 619500*z2*z3^2 + 
    3685500*sinf*z2*z5 + 47250*z3*z5 - 4966500*sinf*z7)/672000, 
 H[1, 0, -1, 0, 0, 1, 0, 0, 1] -> 
  (68600*s8a - 166794*z2^4 - 390600*sinf*z2^2*z3 - 315000*z2*z3^2 - 
    315000*sinf*z2*z5 + 1317750*z3*z5 + 1997625*sinf*z7)/112000, 
 H[1, 0, -1, 0, 0, 1, 0, -1, 1] -> (6048000*ln2^2*s6 - 12096000*ln2*s7a - 
    12096000*ln2*s7b + 9201675*s8a - 28056000*s8b + 12096000*s8c - 
    12096000*s8d + 12096000*ln2*s6*sinf - 12096000*s7a*sinf - 
    12096000*s7b*sinf + 24192000*s6*z2 - 2419200*li4half*z2^2 - 
    100800*ln2^4*z2^2 - 1814400*ln2^2*z2^3 - 2116800*ln2*sinf*z2^3 - 
    2480867*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 + 
    2016000*ln2^3*z2*z3 + 5972400*ln2*z2^2*z3 + 1360800*sinf*z2^2*z3 - 
    7560000*ln2^2*z3^2 + 3402000*ln2*sinf*z3^2 - 13353375*z2*z3^2 - 
    756000*ln2*z2*z5 + 30607500*sinf*z2*z5 + 24790500*z3*z5 - 
    28714875*ln2*z7 - 60338250*sinf*z7)/2352000, 
 H[1, 0, -1, 0, 0, 1, -1, 1, 1] -> (3040800*ln2^2*s6 - 3449775*s8a - 
    19622400*s8b - 3729600*s8c - 974400*s8d - 2116800*s7b*sinf + 
    3124800*s6*z2 - 194880*li4half*z2^2 - 8120*ln2^4*z2^2 - 
    628320*ln2^2*z2^3 - 317520*ln2*sinf*z2^3 - 921297*z2^4 + 
    1948800*li5half*z3 - 16240*ln2^5*z3 + 162400*ln2^3*z2*z3 + 
    1587600*ln2^2*sinf*z2*z3 + 3833340*ln2*z2^2*z3 + 908460*sinf*z2^2*z3 - 
    250950*ln2^2*z3^2 + 4046700*z2*z3^2 - 759500*ln2^3*z5 + 
    911400*ln2^2*sinf*z5 + 13467300*ln2*z2*z5 + 7644000*sinf*z2*z5 - 
    4334400*z3*z5 - 14674275*sinf*z7)/470400, 
 H[1, 0, -1, 0, 0, 1, -1, 0, 1] -> 
  (-98700*s8a + 873600*s8b - 345600*ln2*s6*sinf + 345600*s7a*sinf + 
    345600*s7b*sinf + 201600*s6*z2 - 155520*ln2*sinf*z2^3 + 141554*z2^4 - 
    151200*ln2*z2^2*z3 - 303480*sinf*z2^2*z3 + 432000*ln2*sinf*z3^2 - 
    322350*z2*z3^2 - 976500*ln2*z2*z5 - 1632600*sinf*z2*z5 + 110250*z3*z5 + 
    3991425*sinf*z7)/134400, H[1, 0, -1, 0, 0, 1, -1, -1, 1] -> 
  (840000*ln2^2*s6 - 4368000*ln2*s7a - 672000*ln2*s7b + 1075725*s8a - 
    9408000*s8b + 2688000*s8c - 4032000*s8d + 2304000*ln2*s6*sinf - 
    3312000*s7a*sinf - 624000*s7b*sinf + 9240000*s6*z2 - 
    705600*li4half*z2^2 - 29400*ln2^4*z2^2 - 399000*ln2^2*z2^3 - 
    25200*ln2*sinf*z2^3 + 431166*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 - 
    168000*li4half*sinf*z3 - 7000*ln2^4*sinf*z3 + 672000*ln2^3*z2*z3 - 
    1092000*ln2^2*sinf*z2*z3 + 1463700*ln2*z2^2*z3 - 83100*sinf*z2^2*z3 - 
    2593500*ln2^2*z3^2 + 133500*ln2*sinf*z3^2 - 3181500*z2*z3^2 - 
    2495500*ln2^3*z5 - 976500*ln2^2*sinf*z5 - 7833000*ln2*z2*z5 - 
    666000*sinf*z2*z5 + 572250*z3*z5 + 921375*ln2*z7 - 1100625*sinf*z7)/
   672000, H[1, 0, -1, 0, 0, 0, 1, 1, 1] -> 
  (264425*s8a - 29752*z2^4 - 50400*sinf*z2^2*z3 + 140000*z2*z3^2 + 
    311500*sinf*z2*z5 - 315000*z3*z5 - 363125*sinf*z7)/224000, 
 H[1, 0, -1, 0, 0, 0, 1, 0, 1] -> 
  (-345450*s8a + 157853*z2^4 + 302400*sinf*z2^2*z3 + 126000*z2*z3^2 + 
    315000*sinf*z2*z5 - 714000*z3*z5 - 1661625*sinf*z7)/168000, 
 H[1, 0, -1, 0, 0, 0, 1, -1, 1] -> (6272000*ln2^2*s6 - 4032000*ln2*s7a + 
    8512000*ln2*s7b - 16581950*s8a - 75936000*s8b - 10752000*s8c - 
    8064000*s8d - 2240000*ln2*s6*sinf - 4032000*s7a*sinf + 8512000*s7b*sinf + 
    28672000*s6*z2 - 1612800*li4half*z2^2 - 67200*ln2^4*z2^2 - 
    1601600*ln2^2*z2^3 + 3617600*ln2*sinf*z2^3 + 1768818*z2^4 + 
    16128000*li5half*z3 - 134400*ln2^5*z3 + 1344000*ln2^3*z2*z3 + 
    10711400*ln2*z2^2*z3 - 1183000*sinf*z2^2*z3 - 4410000*ln2^2*z3^2 - 
    6804000*ln2*sinf*z3^2 + 12106500*z2*z3^2 - 12152000*ln2^3*z5 - 
    12152000*ln2^2*sinf*z5 - 2989000*ln2*z2*z5 - 21721000*sinf*z2*z5 - 
    33771500*z3*z5 + 50520750*ln2*z7 + 31282125*sinf*z7)/1568000, 
 H[1, 0, -1, 0, 0, 0, 0, 1, 1] -> 
  (-127575*s8a - 133312*z2^4 - 201600*sinf*z2^2*z3 - 252000*z2*z3^2 - 
    1732500*sinf*z2*z5 + 1302000*z3*z5 + 3640875*sinf*z7)/336000, 
 H[1, 0, -1, 0, 0, 0, 0, 0, 1] -> (1800*s8a + 1643*z2^4 - 6000*z3*z5 - 
    23625*sinf*z7)/4000, H[1, 0, -1, 0, 0, 0, 0, -1, 1] -> 
  (288225*s8a + 2352000*s8b + 289726*z2^4 - 176400*sinf*z2^2*z3 - 
    126000*z2*z3^2 - 630000*sinf*z2*z5 - 1031625*z3*z5 - 4667250*ln2*z7 + 
    1693125*sinf*z7)/336000, H[1, 0, -1, 0, 0, 0, -1, 1, 1] -> 
  (-12768000*ln2^2*s6 + 9276225*s8a + 71568000*s8b + 6720000*s8c + 
    12096000*s8d - 12096000*ln2*s6*sinf + 12096000*s7a*sinf - 
    6720000*s7b*sinf - 24192000*s6*z2 + 2419200*li4half*z2^2 + 
    100800*ln2^4*z2^2 + 2990400*ln2^2*z2^3 - 7560000*ln2*sinf*z2^3 - 
    2192844*z2^4 - 24192000*li5half*z3 + 201600*ln2^5*z3 - 
    2016000*ln2^3*z2*z3 - 16518600*ln2*z2^2*z3 - 2213400*sinf*z2^2*z3 + 
    5670000*ln2^2*z3^2 + 15120000*ln2*sinf*z3^2 - 13419000*z2*z3^2 + 
    12152000*ln2^3*z5 + 36456000*ln2^2*sinf*z5 - 27069000*ln2*z2*z5 + 
    2394000*sinf*z2*z5 + 48874875*z3*z5 + 19711125*sinf*z7)/4704000, 
 H[1, 0, -1, 0, 0, 0, -1, 0, 1] -> (56700*s8a - 504000*s6*z2 - 57223*z2^4 + 
    132300*sinf*z2^2*z3 + 291375*z2*z3^2 + 976500*ln2*z2*z5 + 
    493500*sinf*z2*z5 - 456750*z3*z5 - 1336125*sinf*z7)/84000, 
 H[1, 0, -1, 0, 0, 0, -1, -1, 1] -> (-14784000*ln2^2*s6 + 29568000*ln2*s7a - 
    8064000*ln2*s7b + 23430225*s8a + 175728000*s8b + 8064000*s8c + 
    29568000*s8d + 1344000*ln2*s6*sinf + 17472000*s7a*sinf - 
    1344000*s7b*sinf - 87360000*s6*z2 + 5913600*li4half*z2^2 + 
    246400*ln2^4*z2^2 + 4435200*ln2^2*z2^3 - 235200*ln2*sinf*z2^3 - 
    2435844*z2^4 - 59136000*li5half*z3 + 492800*ln2^5*z3 - 
    4928000*ln2^3*z2*z3 - 24242400*ln2*z2^2*z3 + 974400*sinf*z2^2*z3 + 
    18480000*ln2^2*z3^2 + 378000*ln2*sinf*z3^2 - 5313000*z2*z3^2 + 
    24304000*ln2^3*z5 + 18900000*ln2*z2*z5 + 16296000*sinf*z2*z5 + 
    38374875*z3*z5 - 68339250*ln2*z7 - 13374375*sinf*z7)/4704000, 
 H[1, 0, -1, 0, 0, -1, 1, 1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 2016000*ln2^2*s6 + 
    3973200*s8a + 10416000*s8b + 4032000*s8c - 2352000*s8d + 
    336000*ln2*s6*sinf - 336000*s7a*sinf + 2016000*s7b*sinf - 
    1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 + 3864000*s6*z2 + 
    4032000*li5half*sinf*z2 + 2016000*li4half*ln2*sinf*z2 + 
    50400*ln2^5*sinf*z2 - 772800*li4half*z2^2 + 93800*ln2^4*z2^2 - 
    168000*ln2^3*sinf*z2^2 + 306600*ln2^2*z2^3 + 646800*ln2*sinf*z2^3 + 
    1206222*z2^4 - 2352000*li5half*z3 + 19600*ln2^5*z3 - 
    2184000*li4half*sinf*z3 - 91000*ln2^4*sinf*z3 - 196000*ln2^3*z2*z3 - 
    588000*ln2^2*sinf*z2*z3 - 5976600*ln2*z2^2*z3 - 711900*sinf*z2^2*z3 - 
    567000*ln2^2*z3^2 - 420000*ln2*sinf*z3^2 - 2320500*z2*z3^2 - 
    542500*ln2^3*z5 - 2278500*ln2^2*sinf*z5 - 10468500*ln2*z2*z5 - 
    10237500*sinf*z2*z5 + 2769375*z3*z5 + 14114625*sinf*z7)/672000, 
 H[1, 0, -1, 0, 0, -1, 1, 0, 1] -> 
  (-1716225*s8a - 4368000*s8b + 1728000*ln2*s6*sinf - 1728000*s7a*sinf - 
    1728000*s7b*sinf + 2352000*s6*z2 + 777600*ln2*sinf*z2^3 + 830284*z2^4 + 
    756000*ln2*z2^2*z3 + 2273400*sinf*z2^2*z3 - 2160000*ln2*sinf*z3^2 + 
    346500*z2*z3^2 - 1627500*ln2*z2*z5 + 6871500*sinf*z2*z5 - 3475500*z3*z5 - 
    20251125*sinf*z7)/672000, H[1, 0, -1, 0, 0, -1, 1, -1, 1] -> 
  (65856000*ln2^2*s6 - 10080000*ln2*s7a + 60480000*ln2*s7b - 157847025*s8a - 
    653184000*s8b - 135072000*s8c - 29568000*s8d - 42336000*ln2*s6*sinf + 
    18816000*s7a*sinf + 153216000*s6*z2 - 5913600*li4half*z2^2 - 
    246400*ln2^4*z2^2 - 14078400*ln2^2*z2^3 + 1058400*ln2*sinf*z2^3 - 
    6418764*z2^4 + 59136000*li5half*z3 - 492800*ln2^5*z3 + 
    4928000*ln2^3*z2*z3 + 31752000*ln2^2*sinf*z2*z3 + 99724800*ln2*z2^2*z3 + 
    8584800*sinf*z2^2*z3 - 11319000*ln2^2*z3^2 - 11907000*ln2*sinf*z3^2 + 
    142464000*z2*z3^2 - 60760000*ln2^3*z5 + 18228000*ln2^2*sinf*z5 + 
    202566000*ln2*z2*z5 + 35133000*sinf*z2*z5 - 236971875*z3*z5 + 
    308159250*ln2*z7 - 70927500*sinf*z7)/9408000, 
 H[1, 0, -1, 0, 0, -1, 0, 1, 1] -> 
  (168000*s6*z2 + 21011*z2^4 - 110250*z2*z3^2 - 325500*ln2*z2*z5 + 
    22050*sinf*z2*z5 + 175875*z3*z5 - 36750*sinf*z7)/67200, 
 H[1, 0, -1, 0, 0, -1, 0, 0, 1] -> 
  (3*(1575*s8a - 3258*z2^4 - 11760*sinf*z2^2*z3 - 8400*z2*z3^2 - 
     22400*sinf*z2*z5 + 20650*z3*z5 + 89075*sinf*z7))/22400, 
 H[1, 0, -1, 0, 0, -1, 0, -1, 1] -> (1344000*ln2^2*s6 - 2688000*ln2*s7a - 
    2688000*ln2*s7b + 1677900*s8a - 672000*s8b + 2688000*s8c - 2688000*s8d + 
    2688000*ln2*s6*sinf - 2688000*s7a*sinf - 2688000*s7b*sinf + 
    6216000*s6*z2 - 537600*li4half*z2^2 - 22400*ln2^4*z2^2 - 
    403200*ln2^2*z2^3 - 470400*ln2*sinf*z2^3 + 771814*z2^4 + 
    5376000*li5half*z3 - 44800*ln2^5*z3 + 448000*ln2^3*z2*z3 + 
    1327200*ln2*z2^2*z3 + 478800*sinf*z2^2*z3 - 1680000*ln2^2*z3^2 + 
    756000*ln2*sinf*z3^2 - 3596250*z2*z3^2 - 1795500*ln2*z2*z5 + 
    5071500*sinf*z2*z5 + 1435875*z3*z5 - 17419500*ln2*z7 - 11051250*sinf*z7)/
   672000, H[1, 0, -1, 0, 0, -1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    42000000*ln2^2*s6 + 46012050*s8a + 251328000*s8b + 46368000*s8c + 
    14784000*s8d + 14112000*ln2*s6*sinf - 14112000*s7a*sinf + 
    4704000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    41328000*s6*z2 + 28224000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 940800*ln2^5*sinf*z2 - 1276800*li4half*z2^2 + 1710800*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 + 9685200*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 + 
    8128548*z2^4 - 78960000*li5half*z3 + 658000*ln2^5*z3 - 
    30576000*li4half*sinf*z3 - 1274000*ln2^4*sinf*z3 - 6580000*ln2^3*z2*z3 + 
    4116000*ln2^2*sinf*z2*z3 - 56175000*ln2*z2^2*z3 + 8614200*sinf*z2^2*z3 + 
    3108000*ln2^2*z3^2 - 17640000*ln2*sinf*z3^2 - 53886000*z2*z3^2 + 
    16709000*ln2^3*z5 - 4557000*ln2^2*sinf*z5 - 166446000*ln2*z2*z5 - 
    57550500*sinf*z2*z5 + 114599625*z3*z5 + 45312750*sinf*z7)/9408000, 
 H[1, 0, -1, 0, 0, -1, -1, 0, 1] -> 
  (511350*s8a - 2352000*s6*z2 - 497374*z2^4 + 42000*sinf*z2^2*z3 + 
    1086750*z2*z3^2 + 4557000*ln2*z2*z5 + 808500*sinf*z2*z5 - 813750*z3*z5 - 
    1519875*sinf*z7)/672000, H[1, 0, -1, 0, 0, -1, -1, -1, 1] -> 
  (-1344000*ln2^2*s6 + 2688000*ln2*s7a - 7660800*ln2*s7b + 9526125*s8a + 
    44284800*s8b + 7660800*s8c + 2688000*s8d + 4032000*ln2*s6*sinf - 
    1209600*s7a*sinf - 4032000*s7b*sinf - 11961600*s6*z2 + 
    537600*li4half*z2^2 + 22400*ln2^4*z2^2 + 403200*ln2^2*z2^3 - 
    705600*ln2*sinf*z2^3 + 520944*z2^4 - 5376000*li5half*z3 + 
    44800*ln2^5*z3 - 448000*ln2^3*z2*z3 - 3979080*ln2*z2^2*z3 + 
    900480*sinf*z2^2*z3 + 1680000*ln2^2*z3^2 + 1134000*ln2*sinf*z3^2 - 
    8229900*z2*z3^2 + 6683600*ln2^3*z5 + 2578800*ln2*z2*z5 + 
    9580200*sinf*z2*z5 + 13830075*z3*z5 - 48750450*ln2*z7 - 17841600*sinf*z7)/
   1881600, H[1, 0, -1, 0, -1, 1, 1, 1, 1] -> 
  (-14112000*li4half^2 - 112896000*li8half + 3528000*li4half*ln2^4 + 
    168700*ln2^8 - 131040000*ln2^2*s6 + 201006225*s8a - 27720000*s8b + 
    262080000*s8c - 290304000*s8d - 112896000*li7half*sinf + 
    22400*ln2^7*sinf - 68544000*ln2*s6*sinf + 68544000*s7a*sinf + 
    167328000*s7b*sinf - 21168000*li4half*ln2^2*z2 - 1979600*ln2^6*z2 + 
    594720000*s6*z2 + 225792000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*
     z2 - 588000*ln2^5*sinf*z2 - 199886400*li4half*z2^2 - 
    2154600*ln2^4*z2^2 + 235200*ln2^3*sinf*z2^2 + 49770000*ln2^2*z2^3 + 
    59371200*ln2*sinf*z2^3 + 119229336*z2^4 + 171360000*li5half*z3 + 
    1864800*ln2^5*z3 + 67032000*li4half*sinf*z3 + 6909000*ln2^4*sinf*z3 - 
    14238000*ln2^3*z2*z3 - 97020000*ln2^2*sinf*z2*z3 - 
    364807800*ln2*z2^2*z3 - 151918200*sinf*z2^2*z3 - 36855000*ln2^2*z3^2 + 
    85680000*ln2*sinf*z3^2 - 145404000*z2*z3^2 - 95697000*ln2^2*sinf*z5 - 
    786240000*ln2*z2*z5 - 778617000*sinf*z2*z5 + 276845625*z3*z5 + 
    1420437375*sinf*z7)/28224000, H[1, 0, -1, 0, -1, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    19152000*ln2^2*s6 - 94501575*s8a - 57960000*s8b - 38304000*s8c + 
    38304000*s8d + 74592000*ln2*s6*sinf - 74592000*s7a*sinf - 
    131040000*s7b*sinf + 56448000*li6half*z2 + 78400*ln2^6*z2 - 
    27216000*s6*z2 + 28224000*li5half*sinf*z2 - 235200*ln2^5*sinf*z2 + 
    61992000*li4half*z2^2 - 357000*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 - 
    22327200*ln2^2*z2^3 - 14061600*ln2*sinf*z2^3 + 4582698*z2^4 - 
    111888000*li5half*z3 - 7056000*li4half*ln2*z3 + 638400*ln2^5*z3 - 
    155232000*li4half*sinf*z3 - 6468000*ln2^4*sinf*z3 + 
    13020000*ln2^3*z2*z3 + 51156000*ln2^2*sinf*z2*z3 + 66452400*ln2*z2^2*z3 + 
    158860800*sinf*z2^2*z3 + 2299500*ln2^2*z3^2 - 99414000*ln2*sinf*z3^2 + 
    58495500*z2*z3^2 + 54684000*ln2^2*sinf*z5 + 114912000*ln2*z2*z5 + 
    380520000*sinf*z2*z5 - 240478875*z3*z5 - 1004920875*sinf*z7)/14112000, 
 H[1, 0, -1, 0, -1, 1, 1, -1, 1] -> 
  (56448000*li4half^2 - 1016064000*li8half - 451584000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 112000*ln2^8 + 316512000*ln2^2*s6 - 
    131040000*ln2*s7a + 24192000*ln2*s7b - 456803550*s8a - 1871856000*s8b - 
    399168000*s8c + 18144000*s8d - 338688000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 89600*ln2^7*sinf + 60480000*ln2*s6*sinf - 
    88704000*s7a*sinf + 38304000*s7b*sinf + 56448000*li6half*z2 + 
    1254400*ln2^6*z2 + 168336000*s6*z2 + 169344000*li4half*ln2*sinf*z2 + 
    7996800*ln2^5*sinf*z2 + 20563200*li4half*z2^2 - 3847200*ln2^4*z2^2 - 
    42336000*ln2^3*sinf*z2^2 - 72072000*ln2^2*z2^3 - 60127200*ln2*sinf*z2^3 + 
    16843392*z2^4 - 36288000*li5half*z3 - 296352000*li4half*ln2*z3 - 
    15338400*ln2^5*z3 - 112896000*li4half*sinf*z3 - 8820000*ln2^4*sinf*z3 + 
    103992000*ln2^3*z2*z3 + 169344000*ln2^2*sinf*z2*z3 + 
    510300000*ln2*z2^2*z3 + 69073200*sinf*z2^2*z3 - 171060750*ln2^2*z3^2 - 
    237667500*ln2*sinf*z3^2 + 414366750*z2*z3^2 - 150381000*ln2^3*z5 - 
    123039000*ln2^2*sinf*z5 + 1121589000*ln2*z2*z5 - 45927000*sinf*z2*z5 - 
    298698750*z3*z5 - 33673500*ln2*z7 + 228666375*sinf*z7)/28224000, 
 H[1, 0, -1, 0, -1, 1, 0, 1, 1] -> 
  (-40320000*li4half^2 - 3360000*li4half*ln2^4 - 70000*ln2^8 + 
    36288000*ln2^2*s6 - 32648175*s8a - 28728000*s8b - 72576000*s8c + 
    72576000*s8d - 9792000*ln2*s6*sinf + 9792000*s7a*sinf + 
    9792000*s7b*sinf - 16128000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 
    1153600*ln2^6*z2 - 149184000*s6*z2 - 112896000*li5half*sinf*z2 - 
    48384000*li4half*ln2*sinf*z2 - 1075200*ln2^5*sinf*z2 + 
    14112000*li4half*z2^2 - 3612000*ln2^4*z2^2 + 2688000*ln2^3*sinf*z2^2 - 
    1713600*ln2^2*z2^3 - 14688000*ln2*sinf*z2^3 - 32517108*z2^4 + 
    56448000*li5half*z3 + 4032000*li4half*ln2*z3 - 302400*ln2^5*z3 + 
    52416000*li4half*sinf*z3 + 2184000*ln2^4*sinf*z3 + 8400000*ln2^3*z2*z3 - 
    6048000*ln2^2*sinf*z2*z3 + 64297800*ln2*z2^2*z3 - 23706000*sinf*z2^2*z3 + 
    11970000*ln2^2*z3^2 + 15768000*ln2*sinf*z3^2 + 54589500*z2*z3^2 + 
    217728000*ln2*z2*z5 + 99567000*sinf*z2*z5 - 46958625*z3*z5 + 
    35820000*sinf*z7)/4032000, H[1, 0, -1, 0, -1, 1, 0, 0, 1] -> 
  (-1344000*ln2^2*s6 + 2949450*s8a + 6384000*s8b + 2688000*s8c - 
    2688000*s8d + 1728000*ln2*s6*sinf - 1728000*s7a*sinf - 1728000*s7b*sinf + 
    2688000*s6*z2 - 672000*li4half*z2^2 - 28000*ln2^4*z2^2 + 
    100800*ln2^2*z2^3 - 1490400*ln2*sinf*z2^3 + 321302*z2^4 + 
    2688000*li5half*z3 + 2016000*li4half*ln2*z3 + 61600*ln2^5*z3 - 
    4032000*li4half*sinf*z3 - 168000*ln2^4*sinf*z3 - 280000*ln2^3*z2*z3 + 
    1008000*ln2^2*sinf*z2*z3 - 2675400*ln2*z2^2*z3 + 324600*sinf*z2^2*z3 + 
    504000*ln2^2*z3^2 - 396000*ln2*sinf*z3^2 - 2950500*z2*z3^2 - 
    8064000*ln2*z2*z5 + 3616500*sinf*z2*z5 + 4076625*z3*z5 - 1618875*sinf*z7)/
   672000, H[1, 0, -1, 0, -1, 1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    56448000*ln2^2*s6 + 74592000*ln2*s7a - 38304000*ln2*s7b + 124418700*s8a + 
    546336000*s8b + 20160000*s8c + 149184000*s8d + 112896000*ln2*s6*sinf - 
    56448000*s7a*sinf - 169344000*s7b*sinf - 28224000*li6half*z2 - 
    42336000*li4half*ln2^2*z2 - 1803200*ln2^6*z2 - 418320000*s6*z2 - 
    28224000*li5half*sinf*z2 + 235200*ln2^5*sinf*z2 - 63302400*li4half*z2^2 + 
    1478400*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 + 42487200*ln2^2*z2^3 - 
    50803200*ln2*sinf*z2^3 - 71524728*z2^4 - 263088000*li5half*z3 + 
    183456000*li4half*ln2*z3 + 9836400*ln2^5*z3 - 59556000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 - 171284400*ln2*z2^2*z3 + 
    36514800*sinf*z2^2*z3 + 156996000*ln2^2*z3^2 + 62622000*ln2*sinf*z3^2 - 
    90806625*z2*z3^2 + 109368000*ln2^3*z5 + 109368000*ln2^2*sinf*z5 + 
    55566000*ln2*z2*z5 + 489510000*sinf*z2*z5 + 680400000*z3*z5 + 
    186590250*ln2*z7 - 849917250*sinf*z7)/14112000, 
 H[1, 0, -1, 0, -1, 1, -1, 1, 1] -> 
  (-338688000*li4half^2 + 2483712000*li8half - 338688000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 37632000*li4half*ln2^4 - 761600*ln2^8 - 
    253008000*ln2^2*s6 + 633400425*s8a + 3932712000*s8b + 336672000*s8c + 
    453600000*s8d + 1580544000*li7half*sinf - 112896000*li5half*ln2^2*sinf + 
    627200*ln2^7*sinf - 580608000*ln2*s6*sinf + 580608000*s7a*sinf - 
    463680000*s7b*sinf + 338688000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    225792000*li4half*ln2^2*z2 + 9408000*ln2^6*z2 - 1217664000*s6*z2 - 
    338688000*li5half*sinf*z2 - 338688000*li4half*ln2*sinf*z2 - 
    14112000*ln2^5*sinf*z2 + 135878400*li4half*z2^2 - 17858400*ln2^4*z2^2 + 
    120422400*ln2^3*sinf*z2^2 + 39463200*ln2^2*z2^3 + 
    116222400*ln2*sinf*z2^3 - 280905552*z2^4 - 399168000*li5half*z3 - 
    56448000*li4half*ln2*z3 - 5611200*ln2^5*z3 + 366912000*li4half*sinf*z3 + 
    7056000*ln2^4*sinf*z3 + 11424000*ln2^3*z2*z3 - 
    63504000*ln2^2*sinf*z2*z3 - 311585400*ln2*z2^2*z3 - 
    9928800*sinf*z2^2*z3 - 109746000*ln2^2*z3^2 + 676368000*ln2*sinf*z3^2 - 
    364077000*z2*z3^2 - 18228000*ln2^3*z5 + 984312000*ln2^2*sinf*z5 - 
    955332000*ln2*z2*z5 + 1880676000*sinf*z2*z5 + 7205625*z3*z5 - 
    3799797750*sinf*z7)/56448000, H[1, 0, -1, 0, -1, 1, -1, 0, 1] -> 
  (4032000*ln2^2*s6 + 4135950*s8a + 151200000*s8b - 8064000*s8c + 
    8064000*s8d + 92736000*ln2*s6*sinf - 92736000*s7a*sinf + 
    20160000*s7b*sinf - 310464000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 313600*ln2^6*z2 - 164304000*s6*z2 - 
    84672000*li5half*sinf*z2 + 705600*ln2^5*sinf*z2 + 19958400*li4half*z2^2 + 
    3771600*ln2^4*z2^2 - 7056000*ln2^3*sinf*z2^2 + 10785600*ln2^2*z2^3 - 
    28476000*ln2*sinf*z2^3 + 40604772*z2^4 + 146160000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 1134000*ln2^5*z3 - 84672000*li4half*sinf*z3 - 
    3528000*ln2^4*sinf*z3 - 22512000*ln2^3*z2*z3 + 8820000*ln2^2*sinf*z2*z3 + 
    16329600*ln2*z2^2*z3 + 21634200*sinf*z2^2*z3 + 25830000*ln2^2*z3^2 - 
    66528000*ln2*sinf*z3^2 + 18671625*z2*z3^2 - 109368000*ln2^2*sinf*z5 + 
    3685500*ln2*z2*z5 - 36067500*sinf*z2*z5 - 104965875*z3*z5 + 
    148467375*sinf*z7)/14112000, H[1, 0, -1, 0, -1, 1, -1, -1, 1] -> 
  (338688000*li4half^2 - 225792000*li8half + 903168000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    37632000*li4half*ln2^4 + 795200*ln2^8 + 20160000*ln2^2*s6 + 
    185472000*ln2*s7a - 252000000*ln2*s7b + 88324425*s8a - 166824000*s8b - 
    58464000*s8c + 86688000*s8d - 677376000*li7half*sinf + 
    225792000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf - 
    492800*ln2^7*sinf + 687456000*ln2*s6*sinf - 504000000*s7a*sinf - 
    94752000*s7b*sinf - 112896000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    225792000*li4half*ln2^2*z2 - 10192000*ln2^6*z2 - 279216000*s6*z2 - 
    282240000*li5half*sinf*z2 + 4233600*ln2^5*sinf*z2 - 
    257846400*li4half*z2^2 + 17480400*ln2^4*z2^2 - 71500800*ln2^3*sinf*z2^2 + 
    55440000*ln2^2*z2^3 - 215258400*ln2*sinf*z2^3 - 88440552*z2^4 + 
    207648000*li5half*z3 + 649152000*li4half*ln2*z3 + 31903200*ln2^5*z3 + 
    7056000*li4half*sinf*z3 + 8526000*ln2^4*sinf*z3 - 184380000*ln2^3*z2*z3 - 
    40572000*ln2^2*sinf*z2*z3 - 99250200*ln2*z2^2*z3 - 6980400*sinf*z2^2*z3 + 
    505764000*ln2^2*z3^2 - 174006000*ln2*sinf*z3^2 - 151294500*z2*z3^2 + 
    442029000*ln2^3*z5 - 369117000*ln2^2*sinf*z5 + 901971000*ln2*z2*z5 + 
    329490000*sinf*z2*z5 + 891961875*z3*z5 - 1266197625*ln2*z7 + 
    192819375*sinf*z7)/56448000, H[1, 0, -1, 0, -1, 0, 1, 1, 1] -> 
  (92160*li4half^2 + 7680*li4half*ln2^4 + 160*ln2^8 - 21420*s8a + 
    92160*ln2*s6*sinf - 92160*s7a*sinf - 92160*s7b*sinf - 
    46080*li4half*ln2^2*z2 - 1920*ln2^6*z2 + 69120*li5half*sinf*z2 + 
    69120*li4half*ln2*sinf*z2 + 2304*ln2^5*sinf*z2 + 94464*li4half*z2^2 + 
    9696*ln2^4*z2^2 - 11520*ln2^3*sinf*z2^2 - 23616*ln2^2*z2^3 - 
    16128*ln2*sinf*z2^3 - 10656*z2^4 - 167040*li5half*z3 - 
    5760*li4half*ln2*z3 + 1152*ln2^5*z3 - 167040*li4half*sinf*z3 - 
    6960*ln2^4*sinf*z3 - 12480*ln2^3*z2*z3 + 72000*ln2^2*sinf*z2*z3 + 
    82656*ln2*z2^2*z3 + 123120*sinf*z2^2*z3 - 2520*ln2^2*z3^2 - 
    120240*ln2*sinf*z3^2 - 2430*z2*z3^2 + 240300*sinf*z2*z5 - 48285*z3*z5 - 
    741375*sinf*z7)/11520, H[1, 0, -1, 0, -1, 0, 1, 0, 1] -> 
  (-230400*li4half^2 - 19200*li4half*ln2^4 - 400*ln2^8 + 53550*s8a - 
    460800*ln2*s6*sinf + 460800*s7a*sinf + 460800*s7b*sinf + 
    115200*li4half*ln2^2*z2 + 4800*ln2^6*z2 - 63360*li4half*z2^2 - 
    17040*ln2^4*z2^2 + 15840*ln2^2*z2^3 + 80640*ln2*sinf*z2^3 - 11241*z2^4 + 
    230400*li5half*z3 - 172800*li4half*ln2*z3 - 9120*ln2^5*z3 + 
    633600*li4half*sinf*z3 + 26400*ln2^4*sinf*z3 + 62400*ln2^3*z2*z3 - 
    158400*ln2^2*sinf*z2*z3 - 55440*ln2*z2^2*z3 - 505800*sinf*z2^2*z3 - 
    75600*ln2^2*z3^2 + 424800*ln2*sinf*z3^2 - 51300*z2*z3^2 - 
    1382400*sinf*z2*z5 + 244350*z3*z5 + 3328650*sinf*z7)/28800, 
 H[1, 0, -1, 0, -1, 0, 1, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    3360000*ln2^2*s6 + 5376000*ln2*s7b - 2489550*s8a - 34944000*s8b + 
    4032000*s8c - 12096000*s8d - 6336000*ln2*s6*sinf + 3648000*s7a*sinf + 
    9024000*s7b*sinf - 4032000*li5half*ln2*z2 + 33600*ln2^6*z2 + 
    29568000*s6*z2 - 8064000*li4half*ln2*sinf*z2 - 336000*ln2^5*sinf*z2 + 
    1209600*li4half*z2^2 + 218400*ln2^4*z2^2 + 2016000*ln2^3*sinf*z2^2 - 
    1075200*ln2^2*z2^3 + 4356000*ln2*sinf*z2^3 + 3691032*z2^4 + 
    26880000*li5half*z3 + 5040000*li4half*ln2*z3 - 14000*ln2^5*z3 + 
    5376000*li4half*sinf*z3 + 224000*ln2^4*sinf*z3 - 784000*ln2^3*z2*z3 - 
    8400000*ln2^2*sinf*z2*z3 - 806400*ln2*z2^2*z3 - 5479800*sinf*z2^2*z3 - 
    798000*ln2^2*z3^2 + 4098000*ln2*sinf*z3^2 - 808500*z2*z3^2 - 
    5208000*ln2^3*z5 - 5208000*ln2^2*sinf*z5 - 27016500*ln2*z2*z5 - 
    27568500*sinf*z2*z5 - 27901125*z3*z5 + 40089000*ln2*z7 + 
    55564125*sinf*z7)/672000, H[1, 0, -1, 0, -1, 0, 0, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 335475*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 806400*li4half*z2^2 + 
    470400*ln2^4*z2^2 + 201600*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 - 
    2634984*z2^4 - 8064000*li5half*z3 + 6048000*li4half*ln2*z3 + 
    319200*ln2^5*z3 - 8064000*li4half*sinf*z3 - 336000*ln2^4*sinf*z3 - 
    2184000*ln2^3*z2*z3 + 2016000*ln2^2*sinf*z2*z3 - 705600*ln2*z2^2*z3 + 
    6400800*sinf*z2^2*z3 + 2646000*ln2^2*z3^2 - 4788000*ln2*sinf*z3^2 - 
    7276500*z2*z3^2 + 9859500*sinf*z2*z5 + 31673250*z3*z5 - 29917125*sinf*z7)/
   2016000, H[1, 0, -1, 0, -1, 0, 0, 0, 1] -> 
  (-3465*s8a + 6720*li4half*z2^2 + 280*ln2^4*z2^2 - 1680*ln2^2*z2^3 + 
    2500*z2^4 + 5880*ln2*z2^2*z3 + 7448*sinf*z2^2*z3 + 6300*z2*z3^2 + 
    4480*sinf*z2*z5 - 35805*z3*z5 - 35385*sinf*z7)/2240, 
 H[1, 0, -1, 0, -1, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 36288000*ln2*s7a - 36288000*ln2*s7b + 23944725*s8a + 
    166320000*s8b + 36288000*s8c - 36288000*s8d - 20160000*ln2*s6*sinf + 
    20160000*s7a*sinf + 20160000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 72576000*s6*z2 + 61891200*li4half*z2^2 - 
    949200*ln2^4*z2^2 - 22730400*ln2^2*z2^3 + 3528000*ln2*sinf*z2^3 + 
    36335196*z2^4 + 30240000*li5half*z3 - 141120000*li4half*ln2*z3 - 
    6132000*ln2^5*z3 - 42336000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 + 
    37800000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 + 78422400*ln2*z2^2*z3 + 
    19782000*sinf*z2^2*z3 - 84420000*ln2^2*z3^2 - 42714000*ln2*sinf*z3^2 - 
    10458000*z2*z3^2 - 2268000*ln2*z2*z5 - 29232000*sinf*z2*z5 - 
    223799625*z3*z5 - 583206750*ln2*z7 + 46265625*sinf*z7)/14112000, 
 H[1, 0, -1, 0, -1, 0, -1, 1, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 
    10080000*ln2^2*s6 - 10023300*s8a + 28224000*s8b - 28224000*s8c + 
    36288000*s8d + 6912000*ln2*s6*sinf - 6912000*s7a*sinf - 
    14976000*s7b*sinf + 12096000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 
    67200*ln2^6*z2 - 72576000*s6*z2 - 24192000*li5half*sinf*z2 + 
    201600*ln2^5*sinf*z2 - 2822400*li4half*z2^2 - 1125600*ln2^4*z2^2 - 
    2016000*ln2^3*sinf*z2^2 + 3024000*ln2^2*z2^3 - 10951200*ln2*sinf*z2^3 - 
    15736608*z2^4 - 43344000*li5half*z3 + 8064000*li4half*ln2*z3 + 
    697200*ln2^5*z3 - 336000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 + 
    7257600*ln2*z2^2*z3 + 5855400*sinf*z2^2*z3 + 12537000*ln2^2*z3^2 - 
    1584000*ln2*sinf*z3^2 + 7812000*z2*z3^2 + 5208000*ln2^3*z5 + 
    15624000*ln2^2*sinf*z5 + 65929500*ln2*z2*z5 + 59332500*sinf*z2*z5 + 
    69693750*z3*z5 - 75988125*sinf*z7)/2016000, 
 H[1, 0, -1, 0, -1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 1445850*s8a - 
    8064000*ln2*s6*sinf + 8064000*s7a*sinf + 8064000*s7b*sinf + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 6048000*s6*z2 + 
    3830400*li4half*z2^2 - 344400*ln2^4*z2^2 - 957600*ln2^2*z2^3 + 
    1411200*ln2*sinf*z2^3 + 142029*z2^4 + 6048000*li5half*z3 - 
    8064000*li4half*ln2*z3 - 386400*ln2^5*z3 + 6048000*li4half*sinf*z3 + 
    252000*ln2^4*sinf*z3 + 2520000*ln2^3*z2*z3 - 1512000*ln2^2*sinf*z2*z3 + 
    3351600*ln2*z2^2*z3 - 4775400*sinf*z2^2*z3 - 3528000*ln2^2*z3^2 + 
    3024000*ln2*sinf*z3^2 + 6489000*z2*z3^2 + 11718000*ln2*z2*z5 - 
    18774000*sinf*z2*z5 - 22743000*z3*z5 + 42273000*sinf*z7)/1008000, 
 H[1, 0, -1, 0, -1, 0, -1, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    4032000*ln2^2*s6 + 8064000*ln2*s7a - 2688000*ln2*s7b + 4137525*s8a + 
    52248000*s8b + 2688000*s8c + 8064000*s8d - 5376000*ln2*s6*sinf + 
    10752000*s7a*sinf + 5376000*s7b*sinf + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 - 24192000*s6*z2 + 8467200*li4half*z2^2 - 
    151200*ln2^4*z2^2 - 504000*ln2^2*z2^3 + 940800*ln2*sinf*z2^3 + 
    277104*z2^4 - 16800000*li5half*z3 - 14784000*li4half*ln2*z3 - 
    476000*ln2^5*z3 - 672000*li4half*sinf*z3 - 28000*ln2^4*sinf*z3 + 
    2296000*ln2^3*z2*z3 + 168000*ln2^2*sinf*z2*z3 - 739200*ln2*z2^2*z3 - 
    436800*sinf*z2^2*z3 - 1428000*ln2^2*z3^2 - 2100000*ln2*sinf*z3^2 + 
    2100000*z2*z3^2 + 6944000*ln2^3*z5 + 5376000*ln2*z2*z5 - 
    10584000*sinf*z2*z5 - 6659625*z3*z5 - 26252625*ln2*z7 + 27108375*sinf*z7)/
   1344000, H[1, 0, -1, 0, -1, -1, 1, 1, 1] -> 
  (296352000*li4half^2 - 451584000*li8half - 37632000*li5half*ln2^3 + 
    5880000*li4half*ln2^4 + 32900*ln2^8 + 1008000*ln2^2*s6 - 40998825*s8a - 
    509040000*s8b - 2016000*s8c - 89712000*s8d - 338688000*li7half*sinf - 
    18816000*li4half*ln2^3*sinf - 716800*ln2^7*sinf + 265104000*ln2*s6*sinf - 
    265104000*s7a*sinf - 32256000*s7b*sinf + 112896000*li5half*ln2*z2 - 
    63504000*li4half*ln2^2*z2 - 1705200*ln2^6*z2 + 225288000*s6*z2 + 
    169344000*li5half*sinf*z2 + 183456000*li4half*ln2*sinf*z2 + 
    9525600*ln2^5*sinf*z2 + 58968000*li4half*z2^2 + 9219000*ln2^4*z2^2 - 
    47745600*ln2^3*sinf*z2^2 + 3074400*ln2^2*z2^3 - 53524800*ln2*sinf*z2^3 + 
    26821728*z2^4 - 314496000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    84000*ln2^5*z3 - 321048000*li4half*sinf*z3 - 17493000*ln2^4*sinf*z3 - 
    12684000*ln2^3*z2*z3 + 141120000*ln2^2*sinf*z2*z3 + 
    46418400*ln2*z2^2*z3 + 170679600*sinf*z2^2*z3 + 6457500*ln2^2*z3^2 - 
    319032000*ln2*sinf*z3^2 + 21357000*z2*z3^2 + 11392500*ln2^3*z5 - 
    225571500*ln2^2*sinf*z5 - 28129500*ln2*z2*z5 - 4473000*sinf*z2*z5 + 
    129362625*z3*z5 - 314259750*sinf*z7)/28224000, 
 H[1, 0, -1, 0, -1, -1, 1, 0, 1] -> 
  (-282240000*li4half^2 - 23520000*li4half*ln2^4 - 490000*ln2^8 - 
    18144000*ln2^2*s6 + 23426550*s8a - 24192000*s8b + 36288000*s8c - 
    36288000*s8d - 342720000*ln2*s6*sinf + 342720000*s7a*sinf + 
    229824000*s7b*sinf + 225792000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    1254400*ln2^6*z2 + 206640000*s6*z2 + 56448000*li5half*sinf*z2 - 
    56448000*li4half*ln2*sinf*z2 - 2822400*ln2^5*sinf*z2 + 
    62596800*li4half*z2^2 + 6136200*ln2^4*z2^2 + 18816000*ln2^3*sinf*z2^2 - 
    32130000*ln2^2*z2^3 + 63806400*ln2*sinf*z2^3 - 19658532*z2^4 + 
    227808000*li5half*z3 - 183456000*li4half*ln2*z3 - 9542400*ln2^5*z3 + 
    324576000*li4half*sinf*z3 + 13524000*ln2^4*sinf*z3 + 
    23688000*ln2^3*z2*z3 - 105840000*ln2^2*sinf*z2*z3 + 
    27682200*ln2*z2^2*z3 - 265053600*sinf*z2^2*z3 - 85365000*ln2^2*z3^2 + 
    267876000*ln2*sinf*z3^2 - 67347000*z2*z3^2 + 109368000*ln2^2*sinf*z5 - 
    74686500*ln2*z2*z5 - 693409500*sinf*z2*z5 - 62283375*z3*z5 + 
    1700322750*sinf*z7)/28224000, H[1, 0, -1, 0, -1, -1, 1, -1, 1] -> 
  (-21168000*li4half^2 + 158054400*li8half + 45158400*li7half*ln2 + 
    5644800*li6half*ln2^2 + 3763200*li5half*ln2^3 + 117600*li4half*ln2^4 + 
    13090*ln2^8 - 29131200*ln2^2*s6 + 12499200*ln2*s7a + 5443200*ln2*s7b + 
    33056100*s8a + 210672000*s8b + 31852800*s8c + 5544000*s8d + 
    79027200*li7half*sinf + 11289600*li6half*ln2*sinf + 
    1881600*li4half*ln2^3*sinf + 78400*ln2^7*sinf - 37598400*ln2*s6*sinf + 
    36187200*s7a*sinf - 1209600*s7b*sinf - 5644800*li6half*z2 - 
    11289600*li5half*ln2*z2 + 2116800*li4half*ln2^2*z2 - 21560*ln2^6*z2 - 
    29080800*s6*z2 + 2822400*li5half*sinf*z2 - 18345600*li4half*ln2*sinf*z2 - 
    1164240*ln2^5*sinf*z2 + 11904480*li4half*z2^2 + 466620*ln2^4*z2^2 + 
    7220640*ln2^3*sinf*z2^2 + 342720*ln2^2*z2^3 + 13814640*ln2*sinf*z2^3 - 
    3728106*z2^4 - 8971200*li5half*z3 + 6350400*li4half*ln2*z3 + 
    668640*ln2^5*z3 + 11289600*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 - 
    4481400*ln2^3*z2*z3 - 14994000*ln2^2*sinf*z2*z3 - 34350120*ln2*z2^2*z3 - 
    5058900*sinf*z2^2*z3 + 3460275*ln2^2*z3^2 + 29865150*ln2*sinf*z3^2 - 
    24385725*z2*z3^2 + 5696250*ln2^3*z5 + 36228150*ln2^2*sinf*z5 - 
    107909550*ln2*z2*z5 + 5868450*sinf*z2*z5 - 34138125*z3*z5 + 
    28083825*ln2*z7 - 56903175*sinf*z7)/2822400, 
 H[1, 0, -1, 0, -1, -1, 0, 1, 1] -> 
  (-1728000*li4half^2 - 144000*li4half*ln2^4 - 3000*ln2^8 - 404775*s8a - 
    2304000*li6half*z2 - 2304000*li5half*ln2*z2 - 288000*li4half*ln2^2*z2 + 
    4000*ln2^6*z2 - 360000*s6*z2 - 1152000*li5half*sinf*z2 - 
    1152000*li4half*ln2*sinf*z2 - 38400*ln2^5*sinf*z2 + 748800*li4half*z2^2 + 
    67200*ln2^4*z2^2 + 192000*ln2^3*sinf*z2^2 - 187200*ln2^2*z2^3 + 
    265896*z2^4 + 3744000*li5half*z3 + 720000*li4half*ln2*z3 - 
    1200*ln2^5*z3 + 720000*li4half*sinf*z3 + 30000*ln2^4*sinf*z3 - 
    204000*ln2^3*z2*z3 - 684000*ln2^2*sinf*z2*z3 + 655200*ln2*z2^2*z3 - 
    306000*sinf*z2^2*z3 + 315000*ln2^2*z3^2 + 630000*ln2*sinf*z3^2 - 
    445500*z2*z3^2 + 697500*ln2*z2*z5 - 587250*sinf*z2*z5 - 1374750*z3*z5 + 
    3015000*sinf*z7)/288000, H[1, 0, -1, 0, -1, -1, 0, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 414225*s8a + 
    8064000*ln2*s6*sinf - 8064000*s7a*sinf - 8064000*s7b*sinf - 
    8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 - 7660800*li4half*z2^2 + 
    688800*ln2^4*z2^2 + 1915200*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 + 
    2535564*z2^4 - 20160000*li5half*z3 + 8064000*li4half*ln2*z3 + 
    504000*ln2^5*z3 - 6048000*li4half*sinf*z3 - 252000*ln2^4*sinf*z3 - 
    3696000*ln2^3*z2*z3 + 1512000*ln2^2*sinf*z2*z3 - 6703200*ln2*z2^2*z3 + 
    10684800*sinf*z2^2*z3 + 3528000*ln2^2*z3^2 - 3024000*ln2*sinf*z3^2 + 
    2079000*z2*z3^2 + 23184000*sinf*z2*z5 + 4520250*z3*z5 - 68709375*sinf*z7)/
   2016000, H[1, 0, -1, 0, -1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    38304000*ln2^2*s6 - 76608000*ln2*s7a - 76608000*ln2*s7b + 74850300*s8a + 
    228816000*s8b + 76608000*s8c - 76608000*s8d + 76608000*ln2*s6*sinf - 
    76608000*s7a*sinf - 76608000*s7b*sinf - 112896000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 392000*ln2^6*z2 + 
    135576000*s6*z2 - 56448000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 - 1881600*ln2^5*sinf*z2 + 18547200*li4half*z2^2 + 
    4300800*ln2^4*z2^2 + 9408000*ln2^3*sinf*z2^2 - 19958400*ln2^2*z2^3 - 
    13406400*ln2*sinf*z2^3 + 71673768*z2^4 + 280224000*li5half*z3 + 
    28224000*li4half*ln2*z3 - 1159200*ln2^5*z3 + 28224000*li4half*sinf*z3 + 
    1176000*ln2^4*sinf*z3 - 168000*ln2^3*z2*z3 - 31752000*ln2^2*sinf*z2*z3 + 
    67460400*ln2*z2^2*z3 + 4032000*sinf*z2^2*z3 - 35532000*ln2^2*z3^2 + 
    46242000*ln2*sinf*z3^2 - 103871250*z2*z3^2 + 29389500*ln2*z2*z5 + 
    241132500*sinf*z2*z5 - 217420875*z3*z5 - 988517250*ln2*z7 - 
    387875250*sinf*z7)/28224000, H[1, 0, -1, 0, -1, -1, -1, 1, 1] -> 
  (28224000*li4half^2 - 1354752000*li8half + 338688000*li6half*ln2^2 + 
    150528000*li5half*ln2^3 + 39984000*li4half*ln2^4 + 799400*ln2^8 + 
    196560000*ln2^2*s6 - 384125175*s8a - 933912000*s8b - 449568000*s8c + 
    379008000*s8d - 677376000*li7half*sinf + 112896000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 761600*ln2^7*sinf + 219744000*ln2*s6*sinf - 
    219744000*s7a*sinf - 78624000*s7b*sinf - 338688000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 70560000*li4half*ln2^2*z2 - 4508000*ln2^6*z2 - 
    694512000*s6*z2 - 395136000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 3057600*ln2^5*sinf*z2 + 26409600*li4half*z2^2 + 
    5216400*ln2^4*z2^2 - 27753600*ln2^3*sinf*z2^2 + 38757600*ln2^2*z2^3 - 
    220298400*ln2*sinf*z2^3 - 38030688*z2^4 + 102816000*li5half*z3 + 
    197568000*li4half*ln2*z3 + 13960800*ln2^5*z3 + 63504000*li4half*sinf*z3 + 
    10878000*ln2^4*sinf*z3 - 48468000*ln2^3*z2*z3 + 
    68796000*ln2^2*sinf*z2*z3 + 320581800*ln2*z2^2*z3 + 
    21546000*sinf*z2^2*z3 + 201915000*ln2^2*z3^2 - 101808000*ln2*sinf*z3^2 + 
    182385000*z2*z3^2 + 59241000*ln2^3*z5 - 13671000*ln2^2*sinf*z5 + 
    1102626000*ln2*z2*z5 + 328419000*sinf*z2*z5 + 678108375*z3*z5 + 
    479548125*sinf*z7)/56448000, H[1, 0, -1, 0, -1, -1, -1, 0, 1] -> 
  (322560*li4half^2 + 26880*li4half*ln2^4 + 560*ln2^8 + 284130*s8a - 
    322560*ln2*s6*sinf + 322560*s7a*sinf + 322560*s7b*sinf + 
    1612800*li6half*z2 + 1612800*li5half*ln2*z2 + 645120*li4half*ln2^2*z2 + 
    15680*ln2^6*z2 - 443520*s6*z2 + 322560*li5half*sinf*z2 + 
    322560*li4half*ln2*sinf*z2 + 10752*ln2^5*sinf*z2 - 193536*li4half*z2^2 - 
    88704*ln2^4*z2^2 - 53760*ln2^3*sinf*z2^2 + 48384*ln2^2*z2^3 + 
    56448*ln2*sinf*z2^3 - 383064*z2^4 - 1209600*li5half*z3 - 
    645120*li4half*ln2*z3 - 16800*ln2^5*z3 - 80640*li4half*sinf*z3 - 
    3360*ln2^4*sinf*z3 + 295680*ln2^3*z2*z3 + 161280*ln2^2*sinf*z2*z3 - 
    169344*ln2*z2^2*z3 - 68544*sinf*z2^2*z3 - 282240*ln2^2*z3^2 - 
    161280*ln2*sinf*z3^2 + 497070*z2*z3^2 + 859320*ln2*z2*z5 - 
    354060*sinf*z2*z5 + 24570*z3*z5 + 489195*sinf*z7)/161280, 
 H[1, 0, -1, 0, -1, -1, -1, -1, 1] -> 
  (-112896000*li4half^2 - 903168000*li8half - 903168000*li7half*ln2 - 
    451584000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    47040000*li4half*ln2^4 - 980000*ln2^8 - 18144000*ln2^2*s6 + 
    36288000*ln2*s7a - 147168000*ln2*s7b + 186875325*s8a + 676872000*s8b + 
    147168000*s8c + 36288000*s8d - 225792000*li7half*sinf - 
    225792000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 896000*ln2^7*sinf + 40320000*ln2*s6*sinf + 
    86688000*s7a*sinf - 40320000*s7b*sinf + 112896000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    7056000*ln2^6*z2 - 227808000*s6*z2 + 3763200*ln2^5*sinf*z2 + 
    97574400*li4half*z2^2 - 10046400*ln2^4*z2^2 - 17136000*ln2^2*z2^3 - 
    7056000*ln2*sinf*z2^3 + 82865592*z2^4 - 100800000*li5half*z3 - 
    225792000*li4half*ln2*z3 - 15153600*ln2^5*z3 - 8232000*ln2^4*sinf*z3 + 
    64512000*ln2^3*z2*z3 + 14099400*ln2*z2^2*z3 + 14414400*sinf*z2^2*z3 - 
    76104000*ln2^2*z3^2 + 11340000*ln2*sinf*z3^2 - 91633500*z2*z3^2 + 
    118482000*ln2^3*z5 + 119574000*ln2*z2*z5 + 263529000*sinf*z2*z5 + 
    139017375*z3*z5 - 728823375*ln2*z7 - 160445250*sinf*z7)/56448000, 
 H[1, 0, -1, -1, 1, 1, 1, 1, 1] -> (-677376000*li8half - 16800*ln2^8 - 
    73584000*ln2^2*s6 + 196026075*s8a + 846216000*s8b + 147168000*s8c + 
    64512000*s8d + 620928000*li7half*sinf - 123200*ln2^7*sinf - 
    84672000*ln2*s6*sinf + 84672000*s7a*sinf + 470400*ln2^6*z2 - 
    234864000*s6*z2 - 28224000*li5half*sinf*z2 + 12902400*li4half*z2^2 - 
    5989200*ln2^4*z2^2 + 9878400*ln2^3*sinf*z2^2 + 22730400*ln2^2*z2^3 + 
    66528000*ln2*sinf*z2^3 + 51116112*z2^4 - 51408000*li5half*z3 + 
    428400*ln2^5*z3 - 4284000*ln2^3*z2*z3 - 42336000*ln2^2*sinf*z2*z3 - 
    217841400*ln2*z2^2*z3 - 35280000*sinf*z2^2*z3 - 20695500*ln2^2*z3^2 + 
    105840000*ln2*sinf*z3^2 - 147199500*z2*z3^2 + 82026000*ln2^2*sinf*z5 - 
    441504000*ln2*z2*z5 - 27342000*sinf*z2*z5 + 379582875*z3*z5 - 
    306274500*sinf*z7)/56448000, H[1, 0, -1, -1, 1, 1, 1, 0, 1] -> 
  (240912000*ln2^2*s6 - 700911225*s8a - 3476088000*s8b - 481824000*s8c - 
    294336000*s8d - 677376000*li7half*sinf + 134400*ln2^7*sinf + 
    135072000*ln2*s6*sinf - 135072000*s7a*sinf - 106848000*s7b*sinf - 
    451584000*li6half*z2 - 627200*ln2^6*z2 + 863856000*s6*z2 + 
    28224000*li5half*sinf*z2 - 3057600*ln2^5*sinf*z2 - 
    30643200*li4half*z2^2 + 16069200*ln2^4*z2^2 + 3763200*ln2^3*sinf*z2^2 - 
    41580000*ln2^2*z2^3 - 84823200*ln2*sinf*z2^3 + 61529184*z2^4 + 
    553392000*li5half*z3 - 4611600*ln2^5*z3 - 91728000*li4half*sinf*z3 - 
    3822000*ln2^4*sinf*z3 + 46116000*ln2^3*z2*z3 + 
    65268000*ln2^2*sinf*z2*z3 + 588054600*ln2*z2^2*z3 + 
    151905600*sinf*z2^2*z3 + 67756500*ln2^2*z3^2 - 168840000*ln2*sinf*z3^2 + 
    594436500*z2*z3^2 - 27342000*ln2^2*sinf*z5 + 1445472000*ln2*z2*z5 + 
    339444000*sinf*z2*z5 - 1099814625*z3*z5 - 426596625*sinf*z7)/56448000, 
 H[1, 0, -1, -1, 1, 1, 1, -1, 1] -> 
  (-40320000*li8half - 48384000*li7half*ln2 - 4032000*li6half*ln2^2 + 
    3000*ln2^8 + 46368000*ln2^2*s6 - 14112000*ln2*s7a + 26208000*ln2*s7b - 
    100466100*s8a - 464688000*s8b - 84672000*s8c - 24192000*s8d - 
    120960000*li7half*sinf - 8064000*li6half*ln2*sinf + 12800*ln2^7*sinf + 
    8064000*ln2*s6*sinf - 28224000*s7a*sinf + 28224000*s7b*sinf + 
    4032000*li6half*z2 - 84000*ln2^6*z2 + 112896000*s6*z2 - 
    12096000*li5half*sinf*z2 + 268800*ln2^5*sinf*z2 - 4233600*li4half*z2^2 + 
    277200*ln2^4*z2^2 - 2822400*ln2^3*sinf*z2^2 - 11736000*ln2^2*z2^3 - 
    10728000*ln2*sinf*z2^3 - 4158216*z2^4 + 63504000*li5half*z3 - 
    529200*ln2^5*z3 - 1008000*li4half*sinf*z3 - 42000*ln2^4*sinf*z3 + 
    5292000*ln2^3*z2*z3 + 16884000*ln2^2*sinf*z2*z3 + 80488800*ln2*z2^2*z3 - 
    2721600*sinf*z2^2*z3 - 7465500*ln2^2*z3^2 - 38745000*ln2*sinf*z3^2 + 
    83191500*z2*z3^2 - 39060000*ln2^3*z5 - 54684000*ln2^2*sinf*z5 + 
    175770000*ln2*z2*z5 - 61236000*sinf*z2*z5 - 135292500*z3*z5 + 
    137206125*ln2*z7 + 209963250*sinf*z7)/8064000, 
 H[1, 0, -1, -1, 1, 1, 0, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 - 
    5712000*ln2^2*s6 - 8635725*s8a - 273000000*s8b + 11424000*s8c - 
    67872000*s8d - 71232000*ln2*s6*sinf + 71232000*s7a*sinf + 
    43008000*s7b*sinf - 112896000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 
    1607200*ln2^6*z2 + 149856000*s6*z2 - 18816000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 3371200*ln2^5*sinf*z2 - 
    5107200*li4half*z2^2 - 3152800*ln2^4*z2^2 + 17248000*ln2^3*sinf*z2^2 + 
    2301600*ln2^2*z2^3 + 21100800*ln2*sinf*z2^3 + 30719784*z2^4 + 
    145152000*li5half*z3 - 1209600*ln2^5*z3 + 98784000*li4half*sinf*z3 + 
    4116000*ln2^4*sinf*z3 + 12096000*ln2^3*z2*z3 - 
    65268000*ln2^2*sinf*z2*z3 - 4523400*ln2*z2^2*z3 - 66519600*sinf*z2^2*z3 - 
    1606500*ln2^2*z3^2 + 89040000*ln2*sinf*z3^2 + 15172500*z2*z3^2 + 
    27342000*ln2^2*sinf*z5 - 34272000*ln2*z2*z5 - 106050000*sinf*z2*z5 - 
    84233625*z3*z5 + 349298250*sinf*z7)/18816000, 
 H[1, 0, -1, -1, 1, 1, 0, 0, 1] -> (-19152000*ln2^2*s6 + 90653850*s8a + 
    661248000*s8b + 38304000*s8c + 102816000*s8d + 57456000*ln2*s6*sinf - 
    57456000*s7a*sinf + 27216000*s7b*sinf + 112896000*li6half*z2 + 
    156800*ln2^6*z2 - 258552000*s6*z2 - 28224000*li5half*sinf*z2 + 
    235200*ln2^5*sinf*z2 + 34675200*li4half*z2^2 - 907200*ln2^4*z2^2 - 
    12936000*ln2^3*sinf*z2^2 - 6778800*ln2^2*z2^3 - 7837200*ln2*sinf*z2^3 - 
    34382664*z2^4 - 99792000*li5half*z3 + 831600*ln2^5*z3 - 
    45864000*li4half*sinf*z3 - 1911000*ln2^4*sinf*z3 - 8316000*ln2^3*z2*z3 + 
    22050000*ln2^2*sinf*z2*z3 - 44490600*ln2*z2^2*z3 + 9418500*sinf*z2^2*z3 - 
    5386500*ln2^2*z3^2 - 71820000*ln2*sinf*z3^2 - 69630750*z2*z3^2 - 
    82026000*ln2^2*sinf*z5 - 114912000*ln2*z2*z5 - 48856500*sinf*z2*z5 + 
    104981625*z3*z5 + 110320875*sinf*z7)/14112000, 
 H[1, 0, -1, -1, 1, 1, 0, -1, 1] -> 
  (-4515840000*li8half - 1806336000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    67200*ln2^8 + 1125936000*ln2^2*s6 - 407232000*ln2*s7a + 
    524160000*ln2*s7b - 2106627075*s8a - 12435192000*s8b - 1507968000*s8c - 
    1145088000*s8d - 1806336000*li7half*sinf - 451584000*li6half*ln2*sinf - 
    268800*ln2^7*sinf + 223776000*ln2*s6*sinf - 294336000*s7a*sinf + 
    397152000*s7b*sinf + 141120000*li6half*z2 + 509600*ln2^6*z2 + 
    3641400000*s6*z2 - 42336000*li5half*sinf*z2 + 2234400*ln2^5*sinf*z2 - 
    229017600*li4half*z2^2 - 12482400*ln2^4*z2^2 - 35515200*ln2^3*sinf*z2^2 - 
    328078800*ln2^2*z2^3 - 134719200*ln2*sinf*z2^3 + 267297048*z2^4 + 
    2343096000*li5half*z3 - 19525800*ln2^5*z3 + 195258000*ln2^3*z2*z3 - 
    13230000*ln2^2*sinf*z2*z3 + 1530723600*ln2*z2^2*z3 - 
    120884400*sinf*z2^2*z3 - 277578000*ln2^2*z3^2 - 329112000*ln2*sinf*z3^2 + 
    1616186250*z2*z3^2 - 902286000*ln2^3*z5 - 669879000*ln2^2*sinf*z5 + 
    2955078000*ln2*z2*z5 - 1162665000*sinf*z2*z5 - 2330283375*z3*z5 + 
    4421379375*ln2*z7 + 3725867250*sinf*z7)/28224000, 
 H[1, 0, -1, -1, 1, 1, -1, 1, 1] -> 
  (1524096000*li8half - 141120000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    1400*ln2^8 - 367920000*ln2^2*s6 + 637186725*s8a + 3179736000*s8b + 
    538272000*s8c + 82656000*s8d - 112896000*li7half*sinf - 
    28224000*li5half*ln2^2*sinf + 257600*ln2^7*sinf - 16128000*ln2*s6*sinf + 
    16128000*s7a*sinf + 185472000*s7b*sinf + 141120000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 39200*ln2^6*z2 - 376992000*s6*z2 + 
    112896000*li5half*sinf*z2 - 4468800*ln2^5*sinf*z2 + 
    3830400*li4half*z2^2 + 17211600*ln2^4*z2^2 + 10584000*ln2^3*sinf*z2^2 + 
    10886400*ln2^2*z2^3 + 51206400*ln2*sinf*z2^3 - 37160784*z2^4 - 
    369936000*li5half*z3 + 3082800*ln2^5*z3 + 21168000*li4half*sinf*z3 + 
    882000*ln2^4*sinf*z3 - 30828000*ln2^3*z2*z3 - 111132000*ln2^2*sinf*z2*
     z3 - 573589800*ln2*z2^2*z3 - 106066800*sinf*z2^2*z3 - 
    41737500*ln2^2*z3^2 + 20160000*ln2*sinf*z3^2 - 534019500*z2*z3^2 - 
    9114000*ln2^3*z5 - 177723000*ln2^2*sinf*z5 - 1587474000*ln2*z2*z5 - 
    696528000*sinf*z2*z5 + 333907875*z3*z5 + 1320873750*sinf*z7)/56448000, 
 H[1, 0, -1, -1, 1, 1, -1, 0, 1] -> (-76608000*ln2^2*s6 + 256808475*s8a + 
    1597176000*s8b + 153216000*s8c + 241920000*s8d + 225792000*li7half*sinf - 
    44800*ln2^7*sinf + 9072000*ln2*s6*sinf - 9072000*s7a*sinf - 
    44352000*s7b*sinf + 70560000*li6half*z2 - 42336000*li5half*ln2*z2 + 
    450800*ln2^6*z2 - 660240000*s6*z2 - 70560000*li5half*sinf*z2 + 
    1528800*ln2^5*sinf*z2 + 52617600*li4half*z2^2 - 5451600*ln2^4*z2^2 - 
    12818400*ln2^3*sinf*z2^2 + 49442400*ln2^2*z2^3 + 7459200*ln2*sinf*z2^3 - 
    37980324*z2^4 - 367416000*li5half*z3 + 3061800*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 30618000*ln2^3*z2*z3 + 
    36162000*ln2^2*sinf*z2*z3 - 180343800*ln2*z2^2*z3 + 
    27216000*sinf*z2^2*z3 - 21546000*ln2^2*z3^2 - 11340000*ln2*sinf*z3^2 - 
    207963000*z2*z3^2 + 34177500*ln2^2*sinf*z5 - 480154500*ln2*z2*z5 + 
    213853500*sinf*z2*z5 + 523837125*z3*z5 - 520017750*sinf*z7)/28224000, 
 H[1, 0, -1, -1, 1, 1, -1, -1, 1] -> 
  (19353600*li7half*ln2 + 6451200*li6half*ln2^2 + 537600*li5half*ln2^3 + 
    640*ln2^8 + 748800*ln2^2*s6 + 4492800*ln2*s7a - 6393600*ln2*s7b + 
    25804800*li7half*sinf + 4838400*li6half*ln2*sinf + 
    806400*li5half*ln2^2*sinf - 5120*ln2^7*sinf - 2534400*ln2*s6*sinf + 
    7372800*s7a*sinf - 10368000*s7b*sinf - 2419200*li6half*z2 - 
    806400*li5half*ln2*z2 - 5600*ln2^6*z2 - 2419200*s6*z2 + 
    73920*ln2^5*sinf*z2 - 443520*ln2^4*z2^2 + 436800*ln2^3*sinf*z2^2 + 
    84960*ln2^2*z2^3 + 126720*ln2*sinf*z2^3 + 6912*z2^4 + 201600*li5half*z3 - 
    1680*ln2^5*z3 + 16800*ln2^3*z2*z3 + 2044800*ln2*z2^2*z3 + 
    3016080*sinf*z2^2*z3 + 3870900*ln2^2*z3^2 + 7666200*ln2*sinf*z3^2 + 
    774900*z2*z3^2 + 10806600*ln2^3*z5 + 17577000*ln2^2*sinf*z5 + 
    18730800*ln2*z2*z5 + 31010400*sinf*z2*z5 + 97650*z3*z5 - 
    42977925*ln2*z7 - 74729250*sinf*z7)/1612800, 
 H[1, 0, -1, -1, 1, 0, 1, 1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 + 
    13776000*ln2^2*s6 - 33594225*s8a - 158424000*s8b - 27552000*s8c + 
    27552000*s8d + 71904000*ln2*s6*sinf - 71904000*s7a*sinf - 
    137760000*s7b*sinf - 42336000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 - 
    55104000*s6*z2 + 75264000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 2900800*ln2^5*sinf*z2 - 2956800*li4half*z2^2 + 5168800*ln2^4*z2^2 - 
    14896000*ln2^3*sinf*z2^2 + 15036000*ln2^2*z2^3 - 20916000*ln2*sinf*z2^3 - 
    11325336*z2^4 - 262080000*li5half*z3 + 2184000*ln2^5*z3 - 
    98784000*li4half*sinf*z3 - 4116000*ln2^4*sinf*z3 - 21840000*ln2^3*z2*z3 + 
    100548000*ln2^2*sinf*z2*z3 + 70875000*ln2*z2^2*z3 + 
    120573600*sinf*z2^2*z3 + 3874500*ln2^2*z3^2 - 89880000*ln2*sinf*z3^2 + 
    17650500*z2*z3^2 + 63798000*ln2^2*sinf*z5 + 82656000*ln2*z2*z5 + 
    407316000*sinf*z2*z5 + 154924875*z3*z5 - 1064387625*sinf*z7)/18816000, 
 H[1, 0, -1, -1, 1, 0, 1, 0, 1] -> (-3360000*ln2^2*s6 + 28261275*s8a + 
    56280000*s8b + 6720000*s8c - 6720000*s8d - 56448000*ln2*s6*sinf + 
    56448000*s7a*sinf + 56448000*s7b*sinf - 3024000*s6*z2 + 
    18816000*li5half*sinf*z2 - 156800*ln2^5*sinf*z2 - 20160000*li4half*z2^2 - 
    840000*ln2^4*z2^2 + 1568000*ln2^3*sinf*z2^2 + 3360000*ln2^2*z2^3 + 
    10819200*ln2*sinf*z2^3 - 5061136*z2^4 + 46368000*li5half*z3 - 
    386400*ln2^5*z3 + 61152000*li4half*sinf*z3 + 2548000*ln2^4*sinf*z3 + 
    3864000*ln2^3*z2*z3 - 29400000*ln2^2*sinf*z2*z3 - 32394600*ln2*z2^2*z3 - 
    73529400*sinf*z2^2*z3 - 945000*ln2^2*z3^2 + 70560000*ln2*sinf*z3^2 - 
    18049500*z2*z3^2 - 20160000*ln2*z2*z5 - 203742000*sinf*z2*z5 + 
    72027375*z3*z5 + 484769250*sinf*z7)/9408000, 
 H[1, 0, -1, -1, 1, 0, 1, -1, 1] -> 
  (4515840000*li8half + 1806336000*li7half*ln2 + 225792000*li6half*ln2^2 + 
    67200*ln2^8 - 1106784000*ln2^2*s6 + 413280000*ln2*s7a - 
    583968000*ln2*s7b + 2119156725*s8a + 12021912000*s8b + 1589280000*s8c + 
    950880000*s8d + 1806336000*li7half*sinf + 451584000*li6half*ln2*sinf + 
    268800*ln2^7*sinf - 194208000*ln2*s6*sinf + 396480000*s7a*sinf - 
    497280000*s7b*sinf - 225792000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    78400*ln2^6*z2 - 3272976000*s6*z2 + 188160000*li5half*sinf*z2 - 
    3449600*ln2^5*sinf*z2 + 184531200*li4half*z2^2 + 5336800*ln2^4*z2^2 + 
    51195200*ln2^3*sinf*z2^2 + 259946400*ln2^2*z2^3 + 
    129931200*ln2*sinf*z2^3 - 214018104*z2^4 - 2080512000*li5half*z3 + 
    17337600*ln2^5*z3 + 9408000*li4half*sinf*z3 + 392000*ln2^4*sinf*z3 - 
    173376000*ln2^3*z2*z3 - 90552000*ln2^2*sinf*z2*z3 - 
    1559027400*ln2*z2^2*z3 + 116508000*sinf*z2^2*z3 + 287595000*ln2^2*z3^2 + 
    484575000*ln2*sinf*z3^2 - 1647660000*z2*z3^2 + 966084000*ln2^3*z5 + 
    865830000*ln2^2*sinf*z5 - 2970114000*ln2*z2*z5 + 1263780000*sinf*z2*z5 + 
    2204204625*z3*z5 - 4416218625*ln2*z7 - 3983427000*sinf*z7)/18816000, 
 H[1, 0, -1, -1, 1, 0, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    10416000*ln2^2*s6 + 1227975*s8a + 71568000*s8b + 20832000*s8c - 
    20832000*s8d + 19488000*ln2*s6*sinf - 19488000*s7a*sinf + 
    27552000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    11088000*s6*z2 + 18816000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 1019200*ln2^5*sinf*z2 - 17808000*li4half*z2^2 + 
    1022000*ln2^4*z2^2 - 5488000*ln2^3*sinf*z2^2 - 2872800*ln2^2*z2^3 + 
    5947200*ln2*sinf*z2^3 + 16248656*z2^4 - 10080000*li5half*z3 + 
    84000*ln2^5*z3 - 11760000*li4half*sinf*z3 - 490000*ln2^4*sinf*z3 - 
    840000*ln2^3*z2*z3 - 2352000*ln2^2*sinf*z2*z3 - 21987000*ln2*z2^2*z3 - 
    4481400*sinf*z2^2*z3 - 2929500*ln2^2*z3^2 - 24360000*ln2*sinf*z3^2 - 
    6657000*z2*z3^2 - 45570000*ln2^2*sinf*z5 - 62496000*ln2*z2*z5 - 
    145320000*sinf*z2*z5 - 22420125*z3*z5 + 211212750*sinf*z7)/9408000, 
 H[1, 0, -1, -1, 1, 0, 0, 0, 1] -> (-537600*ln2^2*s6 - 300825*s8a - 
    9811200*s8b + 1075200*s8c - 1075200*s8d - 2419200*ln2*s6*sinf + 
    2419200*s7a*sinf - 1344000*s7b*sinf + 5443200*s6*z2 - 
    1767360*li4half*z2^2 - 73640*ln2^4*z2^2 + 1019760*ln2^2*z2^3 + 
    816480*ln2*sinf*z2^3 + 1209352*z2^4 - 1612800*li5half*z3 + 
    13440*ln2^5*z3 + 2822400*li4half*sinf*z3 + 117600*ln2^4*sinf*z3 - 
    134400*ln2^3*z2*z3 - 705600*ln2^2*sinf*z2*z3 - 1189440*ln2*z2^2*z3 + 
    1021440*sinf*z2^2*z3 - 151200*ln2^2*z3^2 + 3024000*ln2*sinf*z3^2 - 
    732900*z2*z3^2 + 3645600*ln2^2*sinf*z5 - 3225600*ln2*z2*z5 + 
    5403300*sinf*z2*z5 + 2073750*z3*z5 - 15660225*sinf*z7)/940800, 
 H[1, 0, -1, -1, 1, 0, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    28224000*ln2^2*s6 + 4032000*ln2*s7a + 88704000*ln2*s7b - 22070475*s8a + 
    45360000*s8b - 36288000*s8c + 36288000*s8d - 31248000*ln2*s6*sinf - 
    53424000*s7a*sinf + 130032000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 53172000*s6*z2 - 28224000*li5half*sinf*z2 + 
    235200*ln2^5*sinf*z2 - 21672000*li4half*z2^2 + 861000*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 + 30429000*ln2^2*z2^3 + 36262800*ln2*sinf*z2^3 + 
    9032784*z2^4 - 69048000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    2633400*ln2^5*z3 + 17640000*li4half*sinf*z3 + 735000*ln2^4*sinf*z3 - 
    18102000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 - 39866400*ln2*z2^2*z3 - 
    37957500*sinf*z2^2*z3 + 5953500*ln2^2*z3^2 - 75159000*ln2*sinf*z3^2 + 
    32452875*z2*z3^2 - 82026000*ln2^3*z5 - 177723000*ln2^2*sinf*z5 - 
    154350000*ln2*z2*z5 - 330813000*sinf*z2*z5 - 43777125*z3*z5 + 
    313488000*ln2*z7 + 582679125*sinf*z7)/14112000, 
 H[1, 0, -1, -1, 1, 0, -1, 1, 1] -> 
  (-4515840000*li8half + 677376000*li6half*ln2^2 + 150528000*li5half*ln2^3 - 
    425600*ln2^8 + 1211616000*ln2^2*s6 - 2267837775*s8a - 12208392000*s8b - 
    1647072000*s8c - 1005984000*s8d - 2709504000*li7half*sinf + 
    225792000*li5half*ln2^2*sinf - 1344000*ln2^7*sinf + 
    653184000*ln2*s6*sinf - 653184000*s7a*sinf + 729792000*s7b*sinf - 
    677376000*li6half*z2 - 197568000*li5half*ln2*z2 + 2273600*ln2^6*z2 + 
    2950416000*s6*z2 - 197568000*li5half*sinf*z2 + 9172800*ln2^5*sinf*z2 - 
    184262400*li4half*z2^2 - 10029600*ln2^4*z2^2 - 
    123009600*ln2^3*sinf*z2^2 - 274176000*ln2^2*z2^3 - 
    272966400*ln2*sinf*z2^3 + 363942216*z2^4 + 2195424000*li5half*z3 - 
    18295200*ln2^5*z3 - 28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 + 
    182952000*ln2^3*z2*z3 + 75852000*ln2^2*sinf*z2*z3 + 
    1808314200*ln2*z2^2*z3 - 171712800*sinf*z2^2*z3 + 86089500*ln2^2*z3^2 - 
    816480000*ln2*sinf*z3^2 + 1863949500*z2*z3^2 - 45570000*ln2^3*z5 - 
    1408113000*ln2^2*sinf*z5 + 4924458000*ln2*z2*z5 - 2106720000*sinf*z2*z5 - 
    2495201625*z3*z5 + 6165904500*sinf*z7)/56448000, 
 H[1, 0, -1, -1, 1, 0, -1, 0, 1] -> 
  (-10416000*ln2^2*s6 + 16174200*s8a - 50736000*s8b + 20832000*s8c - 
    20832000*s8d - 20832000*ln2*s6*sinf + 20832000*s7a*sinf + 
    2016000*s7b*sinf + 169344000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    235200*ln2^6*z2 + 128100000*s6*z2 + 28224000*li5half*sinf*z2 - 
    235200*ln2^5*sinf*z2 - 13574400*li4half*z2^2 + 610400*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 - 4019400*ln2^2*z2^3 + 11558400*ln2*sinf*z2^3 - 
    16510588*z2^4 - 10080000*li5half*z3 + 84000*ln2^5*z3 + 
    30576000*li4half*sinf*z3 + 1274000*ln2^4*sinf*z3 - 840000*ln2^3*z2*z3 - 
    12936000*ln2^2*sinf*z2*z3 - 21987000*ln2*z2^2*z3 - 
    13794900*sinf*z2^2*z3 - 2929500*ln2^2*z3^2 + 26040000*ln2*sinf*z3^2 - 
    45575250*z2*z3^2 + 18228000*ln2^2*sinf*z5 - 79584750*ln2*z2*z5 - 
    20548500*sinf*z2*z5 + 53615625*z3*z5 + 8218875*sinf*z7)/4704000, 
 H[1, 0, -1, -1, 1, 0, -1, -1, 1] -> 
  (-4515840000*li8half - 2709504000*li7half*ln2 - 677376000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 + 112000*ln2^8 + 1051344000*ln2^2*s6 - 
    737856000*ln2*s7a + 983808000*ln2*s7b - 2080749825*s8a - 
    12530952000*s8b - 1487808000*s8c - 1165248000*s8d - 
    1354752000*li7half*sinf - 677376000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf + 268800*ln2^7*sinf - 53424000*ln2*s6*sinf - 
    419328000*s7a*sinf + 554400000*s7b*sinf + 338688000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 784000*ln2^6*z2 + 3893400000*s6*z2 + 
    56448000*li5half*sinf*z2 - 1411200*ln2^5*sinf*z2 - 
    233049600*li4half*z2^2 - 7358400*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 - 
    233074800*ln2^2*z2^3 + 71517600*ln2*sinf*z2^3 + 266403888*z2^4 + 
    2221128000*li5half*z3 - 18509400*ln2^5*z3 + 185094000*ln2^3*z2*z3 + 
    2646000*ln2^2*sinf*z2*z3 + 1362513600*ln2*z2^2*z3 - 
    158331600*sinf*z2^2*z3 - 551691000*ln2^2*z3^2 - 346878000*ln2*sinf*z3^2 + 
    1527750000*z2*z3^2 - 1645077000*ln2^3*z5 - 909121500*ln2^2*sinf*z5 + 
    1485508500*ln2*z2*z5 - 1636047000*sinf*z2*z5 - 2182335750*z3*z5 + 
    7042722750*ln2*z7 + 3810618000*sinf*z7)/28224000, 
 H[1, 0, -1, -1, 1, -1, 1, 1, 1] -> (-10160640*li4half^2 + 83543040*li8half + 
    1505280*li5half*ln2^3 + 7168*ln2^8 + 3588480*ln2^2*s6 + 4959675*s8a + 
    93078720*s8b - 7176960*s8c + 26933760*s8d - 24837120*li7half*sinf + 
    1128960*li4half*ln2^3*sinf + 51968*ln2^7*sinf + 7580160*ln2*s6*sinf - 
    7580160*s7a*sinf - 12660480*s7b*sinf - 4515840*li5half*ln2*z2 - 
    106624*ln2^6*z2 - 63745920*s6*z2 - 10160640*li5half*sinf*z2 - 
    3386880*li4half*ln2*sinf*z2 - 47040*ln2^5*sinf*z2 + 
    14023296*li4half*z2^2 + 807744*ln2^4*z2^2 - 969024*ln2^3*sinf*z2^2 - 
    2870784*ln2^2*z2^3 - 7195104*ln2*sinf*z2^3 - 14892120*z2^4 - 
    28183680*li5half*z3 + 234864*ln2^5*z3 - 1693440*li4half*sinf*z3 - 
    70560*ln2^4*sinf*z3 - 2348640*ln2^3*z2*z3 + 10160640*ln2^2*sinf*z2*z3 + 
    13295016*ln2*z2^2*z3 + 9955008*sinf*z2^2*z3 + 1009260*ln2^2*z3^2 - 
    9475200*ln2*sinf*z3^2 - 341460*z2*z3^2 - 2005080*ln2^3*z5 + 
    4921560*ln2^2*sinf*z5 + 27546120*ln2*z2*z5 + 57193920*sinf*z2*z5 - 
    547785*z3*z5 - 84304395*sinf*z7)/2257920, 
 H[1, 0, -1, -1, 1, -1, 1, 0, 1] -> 
  (50803200*li4half^2 + 4233600*li4half*ln2^4 + 88200*ln2^8 - 
    67132800*ln2^2*s6 + 202899375*s8a + 934315200*s8b + 134265600*s8c + 
    71769600*s8d + 316108800*li7half*sinf - 62720*ln2^7*sinf - 
    82252800*ln2*s6*sinf + 82252800*s7a*sinf + 14515200*s7b*sinf + 
    22579200*li6half*z2 + 22579200*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 271958400*s6*z2 - 
    16934400*li5half*sinf*z2 + 16934400*li4half*ln2*sinf*z2 + 
    2163840*ln2^5*sinf*z2 - 22055040*li4half*z2^2 - 8504160*ln2^4*z2^2 + 
    1223040*ln2^3*sinf*z2^2 + 40037760*ln2^2*z2^3 + 27478080*ln2*sinf*z2^3 - 
    5834088*z2^4 - 167529600*li5half*z3 + 1396080*ln2^5*z3 + 
    33868800*li4half*sinf*z3 + 1411200*ln2^4*sinf*z3 - 13960800*ln2^3*z2*z3 - 
    16934400*ln2^2*sinf*z2*z3 - 183352680*ln2*z2^2*z3 - 
    58751280*sinf*z2^2*z3 - 18881100*ln2^2*z3^2 + 102816000*ln2*sinf*z3^2 - 
    154545300*z2*z3^2 + 65620800*ln2^2*sinf*z5 - 432873000*ln2*z2*z5 - 
    43079400*sinf*z2*z5 + 391631625*z3*z5 + 2264850*sinf*z7)/11289600, 
 H[1, 0, -1, -1, 1, -1, 1, -1, 1] -> 
  (-84672000*li4half^2 - 3386880000*li8half - 564480000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    28224000*li4half*ln2^4 - 805000*ln2^8 + 267120000*ln2^2*s6 - 
    94752000*ln2*s7a - 10080000*ln2*s7b - 583433550*s8a - 5168016000*s8b - 
    302400000*s8c - 628992000*s8d - 56448000*li7half*sinf - 
    169344000*li6half*ln2*sinf - 28224000*li4half*ln2^3*sinf - 
    1400000*ln2^7*sinf + 34272000*ln2*s6*sinf + 8064000*s7a*sinf + 
    92736000*s7b*sinf + 84672000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 10152800*ln2^6*z2 + 1702512000*s6*z2 - 
    84672000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    6585600*ln2^5*sinf*z2 - 91929600*li4half*z2^2 - 29584800*ln2^4*z2^2 + 
    51038400*ln2^3*sinf*z2^2 - 41731200*ln2^2*z2^3 + 45763200*ln2*sinf*z2^3 + 
    229864392*z2^4 + 1307376000*li5half*z3 - 42336000*li4half*ln2*z3 - 
    12658800*ln2^5*z3 + 127008000*li4half*sinf*z3 + 5292000*ln2^4*sinf*z3 + 
    119532000*ln2^3*z2*z3 - 285768000*ln2^2*sinf*z2*z3 + 
    448736400*ln2*z2^2*z3 - 135324000*sinf*z2^2*z3 + 22648500*ln2^2*z3^2 + 
    207207000*ln2*sinf*z3^2 + 328009500*z2*z3^2 - 31899000*ln2^3*z5 - 
    82026000*ln2^2*sinf*z5 + 783783000*ln2*z2*z5 - 316071000*sinf*z2*z5 - 
    154728000*z3*z5 + 919477125*ln2*z7 + 962136000*sinf*z7)/56448000, 
 H[1, 0, -1, -1, 1, -1, 0, 1, 1] -> 
  (169344000*li4half^2 + 14112000*li4half*ln2^4 + 294000*ln2^8 - 
    107856000*ln2^2*s6 + 124565175*s8a + 513576000*s8b + 215712000*s8c - 
    131040000*s8d + 53088000*ln2*s6*sinf - 53088000*s7a*sinf + 
    73920000*s7b*sinf + 225792000*li6half*z2 + 75264000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2665600*ln2^6*z2 + 304416000*s6*z2 + 
    216384000*li5half*sinf*z2 + 141120000*li4half*ln2*sinf*z2 + 
    4076800*ln2^5*sinf*z2 - 85478400*li4half*z2^2 + 1534400*ln2^4*z2^2 - 
    13720000*ln2^3*sinf*z2^2 - 924000*ln2^2*z2^3 + 38472000*ln2*sinf*z2^3 + 
    68834928*z2^4 - 140112000*li5half*z3 + 1167600*ln2^5*z3 - 
    117600000*li4half*sinf*z3 - 4900000*ln2^4*sinf*z3 - 
    11676000*ln2^3*z2*z3 - 16464000*ln2^2*sinf*z2*z3 - 
    229458600*ln2*z2^2*z3 + 8206800*sinf*z2^2*z3 - 30334500*ln2^2*z3^2 - 
    66360000*ln2*sinf*z3^2 - 206545500*z2*z3^2 - 123039000*ln2^2*sinf*z5 - 
    747390000*ln2*z2*z5 - 564060000*sinf*z2*z5 + 162337875*z3*z5 + 
    613599000*sinf*z7)/18816000, H[1, 0, -1, -1, 1, -1, 0, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    6720000*ln2^2*s6 - 18552975*s8a - 94752000*s8b - 13440000*s8c - 
    6720000*s8d - 6912000*ln2*s6*sinf + 6912000*s7a*sinf - 4512000*s7b*sinf - 
    16128000*li6half*z2 + 2016000*li4half*ln2^2*z2 + 61600*ln2^6*z2 + 
    20832000*s6*z2 + 1344000*li5half*sinf*z2 - 11200*ln2^5*sinf*z2 - 
    2251200*li4half*z2^2 - 9800*ln2^4*z2^2 + 1624000*ln2^3*sinf*z2^2 - 
    210000*ln2^2*z2^3 + 283200*ln2*sinf*z2^3 + 2896764*z2^4 + 
    17136000*li5half*z3 - 142800*ln2^5*z3 + 9072000*li4half*sinf*z3 + 
    378000*ln2^4*sinf*z3 + 1428000*ln2^3*z2*z3 - 1512000*ln2^2*sinf*z2*z3 + 
    14716800*ln2*z2^2*z3 + 2070000*sinf*z2^2*z3 + 1890000*ln2^2*z3^2 + 
    8640000*ln2*sinf*z3^2 + 17388000*z2*z3^2 + 11067000*ln2^2*sinf*z5 + 
    40320000*ln2*z2*z5 + 15280500*sinf*z2*z5 - 33862500*z3*z5 - 
    38422500*sinf*z7)/1344000, H[1, 0, -1, -1, 1, -1, 0, -1, 1] -> 
  (16128000*li4half^2 + 645120000*li8half + 258048000*li7half*ln2 + 
    32256000*li6half*ln2^2 + 1344000*li4half*ln2^4 + 37600*ln2^8 - 
    152640000*ln2^2*s6 + 65952000*ln2*s7a - 55008000*ln2*s7b + 
    262194975*s8a + 1602216000*s8b + 187488000*s8c + 143136000*s8d + 
    258048000*li7half*sinf + 64512000*li6half*ln2*sinf + 38400*ln2^7*sinf - 
    37344000*ln2*s6*sinf + 51456000*s7a*sinf - 50016000*s7b*sinf - 
    16128000*li6half*z2 + 5376000*li5half*ln2*z2 - 6048000*li4half*ln2^2*z2 - 
    364000*ln2^6*z2 - 452592000*s6*z2 + 14784000*li5half*sinf*z2 + 
    4032000*li4half*ln2*sinf*z2 - 224000*ln2^5*sinf*z2 + 
    16329600*li4half*z2^2 + 1968400*ln2^4*z2^2 + 4793600*ln2^3*sinf*z2^2 + 
    42273600*ln2^2*z2^3 + 20983200*ln2*sinf*z2^3 - 32014344*z2^4 - 
    307440000*li5half*z3 + 21168000*li4half*ln2*z3 + 3444000*ln2^5*z3 - 
    1680000*li4half*sinf*z3 - 70000*ln2^4*sinf*z3 - 30912000*ln2^3*z2*z3 - 
    84000*ln2^2*sinf*z2*z3 - 210015000*ln2*z2^2*z3 + 15690000*sinf*z2^2*z3 + 
    47254500*ln2^2*z3^2 + 46680000*ln2*sinf*z3^2 - 197316000*z2*z3^2 + 
    117180000*ln2^3*z5 + 98301000*ln2^2*sinf*z5 - 404259000*ln2*z2*z5 + 
    141798000*sinf*z2*z5 + 251372625*z3*z5 - 525466125*ln2*z7 - 
    493114875*sinf*z7)/2688000, H[1, 0, -1, -1, 1, -1, -1, 1, 1] -> 
  (254016000*li4half^2 - 2935296000*li8half + 254016000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 317800*ln2^8 + 441504000*ln2^2*s6 - 
    1153257525*s8a - 5991048000*s8b - 671328000*s8c - 626976000*s8d - 
    1016064000*li7half*sinf + 84672000*li5half*ln2^2*sinf - 
    28224000*li4half*ln2^3*sinf - 1680000*ln2^7*sinf + 
    338688000*ln2*s6*sinf - 338688000*s7a*sinf + 282240000*s7b*sinf - 
    254016000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 + 1136800*ln2^6*z2 + 1797264000*s6*z2 + 
    169344000*li5half*sinf*z2 + 254016000*li4half*ln2*sinf*z2 + 
    12700800*ln2^5*sinf*z2 - 184665600*li4half*z2^2 - 9458400*ln2^4*z2^2 - 
    83966400*ln2^3*sinf*z2^2 - 117835200*ln2^2*z2^3 - 
    121564800*ln2*sinf*z2^3 + 339669216*z2^4 + 1006992000*li5half*z3 - 
    8391600*ln2^5*z3 - 254016000*li4half*sinf*z3 - 10584000*ln2^4*sinf*z3 + 
    83916000*ln2^3*z2*z3 + 63504000*ln2^2*sinf*z2*z3 + 
    742656600*ln2*z2^2*z3 + 14112000*sinf*z2^2*z3 + 54715500*ln2^2*z3^2 - 
    423360000*ln2*sinf*z3^2 + 794335500*z2*z3^2 + 132153000*ln2^3*z5 - 
    478485000*ln2^2*sinf*z5 + 1767906000*ln2*z2*z5 - 1274490000*sinf*z2*z5 - 
    1094680125*z3*z5 + 2673893250*sinf*z7)/56448000, 
 H[1, 0, -1, -1, 1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    31584000*ln2^2*s6 - 76550775*s8a - 666624000*s8b - 63168000*s8c - 
    77952000*s8d - 225792000*li7half*sinf + 44800*ln2^7*sinf - 
    8736000*ln2*s6*sinf + 8736000*s7a*sinf + 46368000*s7b*sinf + 
    127008000*li6half*z2 + 23520000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 607600*ln2^6*z2 + 279384000*s6*z2 + 
    32928000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*z2 - 
    1803200*ln2^5*sinf*z2 - 20529600*li4half*z2^2 + 6396600*ln2^4*z2^2 + 
    862400*ln2^3*sinf*z2^2 - 26762400*ln2^2*z2^3 - 1663200*ln2*sinf*z2^3 - 
    24250524*z2^4 + 91224000*li5half*z3 - 760200*ln2^5*z3 + 
    89376000*li4half*sinf*z3 + 3724000*ln2^4*sinf*z3 + 7602000*ln2^3*z2*z3 - 
    21462000*ln2^2*sinf*z2*z3 + 69703200*ln2*z2^2*z3 - 
    46494000*sinf*z2^2*z3 + 8883000*ln2^2*z3^2 + 10920000*ln2*sinf*z3^2 + 
    55902000*z2*z3^2 - 36456000*ln2^2*sinf*z5 + 276087000*ln2*z2*z5 - 
    114744000*sinf*z2*z5 - 91082250*z3*z5 + 380281125*sinf*z7)/9408000, 
 H[1, 0, -1, -1, 1, -1, -1, -1, 1] -> 
  (2419200*li4half^2 + 104832000*li8half + 6451200*li7half*ln2 - 
    6451200*li6half*ln2^2 - 537600*li5half*ln2^3 + 806400*li4half*ln2^4 + 
    26240*ln2^8 - 16588800*ln2^2*s6 - 1152000*ln2*s7a + 5702400*ln2*s7b + 
    33024600*s8a + 190713600*s8b + 23385600*s8c + 12902400*s8d + 
    32256000*li7half*sinf + 1612800*li6half*ln2*sinf - 
    2419200*li5half*ln2^2*sinf + 806400*li4half*ln2^3*sinf + 
    49600*ln2^7*sinf - 8236800*ln2*s6*sinf + 2188800*s7a*sinf - 
    2246400*s7b*sinf - 806400*li6half*z2 + 2419200*li5half*ln2*z2 - 
    2419200*li4half*ln2^2*z2 - 229600*ln2^6*z2 - 40924800*s6*z2 + 
    8064000*li5half*sinf*z2 - 168000*ln2^5*sinf*z2 + 887040*li4half*z2^2 + 
    648480*ln2^4*z2^2 + 1646400*ln2^3*sinf*z2^2 + 5037120*ln2^2*z2^3 + 
    7532640*ln2*sinf*z2^3 - 4092984*z2^4 - 36489600*li5half*z3 + 
    4838400*li4half*ln2*z3 + 505680*ln2^5*z3 - 403200*li4half*sinf*z3 - 
    16800*ln2^4*sinf*z3 - 4250400*ln2^3*z2*z3 + 100800*ln2^2*sinf*z2*z3 - 
    29853360*ln2*z2^2*z3 + 832320*sinf*z2^2*z3 - 2769300*ln2^2*z3^2 + 
    4386600*ln2*sinf*z3^2 - 24878700*z2*z3^2 - 10416000*ln2^3*z5 + 
    781200*ln2^2*sinf*z5 - 83606400*ln2*z2*z5 + 6737400*sinf*z2*z5 + 
    20024550*z3*z5 + 2728575*ln2*z7 - 56049075*sinf*z7)/1612800, 
 H[1, 0, -1, -1, 0, 1, 1, 1, 1] -> (-72000*li4half^2 - 6000*li4half*ln2^4 - 
    125*ln2^8 + 525*s8a - 48000*ln2*s6*sinf + 48000*s7a*sinf + 
    48000*s7b*sinf + 36000*li4half*ln2^2*z2 + 1500*ln2^6*z2 - 
    72000*li5half*sinf*z2 - 72000*li4half*ln2*sinf*z2 - 2400*ln2^5*sinf*z2 + 
    7200*li4half*z2^2 - 4200*ln2^4*z2^2 + 12000*ln2^3*sinf*z2^2 - 
    1800*ln2^2*z2^3 + 8400*ln2*sinf*z2^3 - 306*z2^4 + 126000*li5half*z3 - 
    1050*ln2^5*z3 + 84000*li4half*sinf*z3 + 3500*ln2^4*sinf*z3 + 
    10500*ln2^3*z2*z3 - 52500*ln2^2*sinf*z2*z3 + 6300*ln2*z2^2*z3 - 
    57900*sinf*z2^2*z3 + 60000*ln2*sinf*z3^2 - 100500*sinf*z2*z5 - 
    76125*z3*z5 + 388875*sinf*z7)/48000, H[1, 0, -1, -1, 0, 1, 1, 0, 1] -> 
  (-280*s8a + 2*z2^4 - 70*sinf*z2^2*z3 - 35*z2*z3^2 - 1400*sinf*z2*z5 + 
    350*z3*z5 + 2555*sinf*z7)/4480, H[1, 0, -1, -1, 0, 1, 1, -1, 1] -> 
  (1932000*ln2^2*s6 + 1512000*ln2*s7a - 2016000*ln2*s7b - 2229150*s8a + 
    5376000*s8b - 3360000*s8c + 3360000*s8d + 4368000*ln2*s6*sinf - 
    840000*s7a*sinf + 336000*s7b*sinf - 8484000*s6*z2 - 
    9408000*li5half*sinf*z2 + 78400*ln2^5*sinf*z2 + 1377600*li4half*z2^2 + 
    57400*ln2^4*z2^2 - 784000*ln2^3*sinf*z2^2 - 1873200*ln2^2*z2^3 - 
    2822400*ln2*sinf*z2^3 - 1296654*z2^4 + 5040000*li5half*z3 - 
    42000*ln2^5*z3 - 1176000*li4half*sinf*z3 - 49000*ln2^4*sinf*z3 + 
    420000*ln2^3*z2*z3 + 294000*ln2^2*sinf*z2*z3 + 4296600*ln2*z2^2*z3 + 
    344400*sinf*z2^2*z3 + 1701000*ln2^2*z3^2 - 2373000*ln2*sinf*z3^2 + 
    2814000*z2*z3^2 + 3417750*ln2^3*z5 - 1139250*ln2^2*sinf*z5 + 
    16112250*ln2*z2*z5 + 5076750*sinf*z2*z5 - 8901375*z3*z5 - 
    9009000*ln2*z7 + 6701625*sinf*z7)/4704000, 
 H[1, 0, -1, -1, 0, 1, 0, 1, 1] -> (576000*li4half^2 + 48000*li4half*ln2^4 + 
    1000*ln2^8 - 1050*s8a + 384000*ln2*s6*sinf - 384000*s7a*sinf - 
    384000*s7b*sinf - 288000*li4half*ln2^2*z2 - 12000*ln2^6*z2 + 
    576000*li5half*sinf*z2 + 576000*li4half*ln2*sinf*z2 + 
    19200*ln2^5*sinf*z2 - 57600*li4half*z2^2 + 33600*ln2^4*z2^2 - 
    96000*ln2^3*sinf*z2^2 + 14400*ln2^2*z2^3 - 67200*ln2*sinf*z2^3 + 
    5022*z2^4 - 1008000*li5half*z3 + 8400*ln2^5*z3 - 672000*li4half*sinf*z3 - 
    28000*ln2^4*sinf*z3 - 84000*ln2^3*z2*z3 + 420000*ln2^2*sinf*z2*z3 - 
    50400*ln2*z2^2*z3 + 458700*sinf*z2^2*z3 - 480000*ln2*sinf*z3^2 + 
    18750*z2*z3^2 + 829500*sinf*z2*z5 + 554625*z3*z5 - 3139125*sinf*z7)/
   96000, H[1, 0, -1, -1, 0, 1, 0, 0, 1] -> 
  (4200*s8a - 31697*z2^4 - 56700*sinf*z2^2*z3 - 37800*z2*z3^2 - 
    140700*sinf*z2*z5 + 238875*z3*z5 + 433650*sinf*z7)/67200, 
 H[1, 0, -1, -1, 0, 1, 0, -1, 1] -> (1680000*ln2^2*s6 - 3360000*ln2*s7a - 
    3360000*ln2*s7b + 2229150*s8a - 5376000*s8b + 3360000*s8c - 3360000*s8d + 
    3360000*ln2*s6*sinf - 3360000*s7a*sinf - 3360000*s7b*sinf + 
    6720000*s6*z2 - 672000*li4half*z2^2 - 28000*ln2^4*z2^2 - 
    504000*ln2^2*z2^3 - 588000*ln2*sinf*z2^3 - 161796*z2^4 + 
    6720000*li5half*z3 - 56000*ln2^5*z3 + 560000*ln2^3*z2*z3 + 
    1659000*ln2*z2^2*z3 + 598500*sinf*z2^2*z3 - 2100000*ln2^2*z3^2 + 
    945000*ln2*sinf*z3^2 - 4265625*z2*z3^2 - 210000*ln2*z2*z5 + 
    6195000*sinf*z2*z5 + 5869500*z3*z5 - 12773250*ln2*z7 - 13563375*sinf*z7)/
   4704000, H[1, 0, -1, -1, 0, 1, -1, 1, 1] -> 
  (10416000*ln2^2*s6 - 1194900*s8a + 14280000*s8b - 20832000*s8c + 
    34944000*s8d + 3024000*ln2*s6*sinf - 3024000*s7a*sinf - 
    28896000*s7b*sinf - 76944000*s6*z2 - 4704000*li5half*sinf*z2 + 
    39200*ln2^5*sinf*z2 + 6988800*li4half*z2^2 + 291200*ln2^4*z2^2 - 
    392000*ln2^3*sinf*z2^2 + 6636000*ln2^2*z2^3 - 5224800*ln2*sinf*z2^3 - 
    17467104*z2^4 - 42840000*li5half*z3 + 357000*ln2^5*z3 - 
    3570000*ln2^3*z2*z3 + 18522000*ln2^2*sinf*z2*z3 + 19341000*ln2*z2^2*z3 + 
    15716400*sinf*z2^2*z3 + 2929500*ln2^2*z3^2 - 3780000*ln2*sinf*z3^2 + 
    9817500*z2*z3^2 - 4557000*ln2^3*z5 + 18228000*ln2^2*sinf*z5 + 
    76167000*ln2*z2*z5 + 114208500*sinf*z2*z5 + 54025125*z3*z5 - 
    221775750*sinf*z7)/9408000, H[1, 0, -1, -1, 0, 1, -1, 0, 1] -> 
  (-49350*s8a + 436800*s8b + 124800*ln2*s6*sinf - 124800*s7a*sinf - 
    124800*s7b*sinf - 67200*s6*z2 + 134400*li4half*z2^2 + 5600*ln2^4*z2^2 - 
    33600*ln2^2*z2^3 - 86640*ln2*sinf*z2^3 + 8088*z2^4 - 
    436800*li4half*sinf*z3 - 18200*ln2^4*sinf*z3 + 109200*ln2^2*sinf*z2*z3 + 
    186030*sinf*z2^2*z3 - 156000*ln2*sinf*z3^2 + 18375*z2*z3^2 - 
    146475*ln2*z2*z5 + 127200*sinf*z2*z5 - 259350*z3*z5 - 299400*sinf*z7)/
   67200, H[1, 0, -1, -1, 0, 1, -1, -1, 1] -> 
  (-44520000*ln2^2*s6 + 33264000*ln2*s7a - 44352000*ln2*s7b + 77323575*s8a + 
    462840000*s8b + 57792000*s8c + 55104000*s8d + 9744000*ln2*s6*sinf + 
    25536000*s7a*sinf - 35616000*s7b*sinf - 184296000*s6*z2 - 
    18816000*li5half*sinf*z2 + 156800*ln2^5*sinf*z2 + 12432000*li4half*z2^2 + 
    518000*ln2^4*z2^2 - 1568000*ln2^3*sinf*z2^2 + 7744800*ln2^2*z2^3 - 
    19504800*ln2*sinf*z2^3 - 4751868*z2^4 - 86688000*li5half*z3 + 
    722400*ln2^5*z3 - 2352000*li4half*sinf*z3 - 98000*ln2^4*sinf*z3 - 
    7224000*ln2^3*z2*z3 + 588000*ln2^2*sinf*z2*z3 - 51181200*ln2*z2^2*z3 + 
    11121600*sinf*z2^2*z3 + 26838000*ln2^2*z3^2 + 18690000*ln2*sinf*z3^2 - 
    58632000*z2*z3^2 + 79747500*ln2^3*z5 + 66076500*ln2^2*sinf*z5 - 
    47502000*ln2*z2*z5 + 98889000*sinf*z2*z5 + 137933250*z3*z5 - 
    184196250*ln2*z7 - 122923500*sinf*z7)/9408000, 
 H[1, 0, -1, -1, 0, 0, 1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 425775*s8a - 
    3360000*ln2*s6*sinf + 3360000*s7a*sinf + 3360000*s7b*sinf + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 4032000*li5half*sinf*z2 - 
    4032000*li4half*ln2*sinf*z2 - 134400*ln2^5*sinf*z2 - 
    1108800*li4half*z2^2 - 298200*ln2^4*z2^2 + 672000*ln2^3*sinf*z2^2 + 
    277200*ln2^2*z2^3 + 588000*ln2*sinf*z2^3 + 90504*z2^4 + 
    7056000*li5half*z3 - 58800*ln2^5*z3 + 5880000*li4half*sinf*z3 + 
    245000*ln2^4*sinf*z3 + 588000*ln2^3*z2*z3 - 3234000*ln2^2*sinf*z2*z3 - 
    970200*ln2*z2^2*z3 - 4191600*sinf*z2^2*z3 + 4200000*ln2*sinf*z3^2 - 
    7413000*sinf*z2*z5 - 1750875*z3*z5 + 26607000*sinf*z7)/672000, 
 H[1, 0, -1, -1, 0, 0, 1, 0, 1] -> (-717675*s8a + 2688000*ln2*s6*sinf - 
    2688000*s7a*sinf - 2688000*s7b*sinf + 1512000*li4half*z2^2 + 
    63000*ln2^4*z2^2 - 378000*ln2^2*z2^3 - 470400*ln2*sinf*z2^3 + 
    346632*z2^4 - 4704000*li4half*sinf*z3 - 196000*ln2^4*sinf*z3 + 
    1176000*ln2^2*sinf*z2*z3 + 1323000*ln2*z2^2*z3 + 3880800*sinf*z2^2*z3 - 
    3360000*ln2*sinf*z3^2 + 945000*z2*z3^2 + 9639000*sinf*z2*z5 - 
    6607125*z3*z5 - 23900625*sinf*z7)/672000, 
 H[1, 0, -1, -1, 0, 0, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    16128000*ln2^2*s6 + 10080000*ln2*s7a - 46368000*ln2*s7b + 20092275*s8a + 
    354816000*s8b - 24192000*s8c + 108864000*s8d + 18144000*ln2*s6*sinf + 
    10080000*s7a*sinf - 46368000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 274176000*s6*z2 + 84672000*li4half*ln2*sinf*z2 + 
    3528000*ln2^5*sinf*z2 + 18950400*li4half*z2^2 + 2553600*ln2^4*z2^2 - 
    21168000*ln2^3*sinf*z2^2 + 4687200*ln2^2*z2^3 - 33868800*ln2*sinf*z2^3 - 
    21323196*z2^4 - 217728000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    2301600*ln2^5*z3 - 49392000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 + 
    6552000*ln2^3*z2*z3 + 86436000*ln2^2*sinf*z2*z3 + 43092000*ln2*z2^2*z3 + 
    47464200*sinf*z2^2*z3 - 20160000*ln2^2*z3^2 - 59724000*ln2*sinf*z3^2 + 
    30492000*z2*z3^2 + 54684000*ln2^3*z5 + 54684000*ln2^2*sinf*z5 + 
    237006000*ln2*z2*z5 + 206325000*sinf*z2*z5 + 94901625*z3*z5 - 
    382614750*ln2*z7 - 403562250*sinf*z7)/28224000, 
 H[1, 0, -1, -1, 0, 0, 0, 1, 1] -> 
  (218925*s8a + 29308*z2^4 - 16800*sinf*z2^2*z3 + 252000*z2*z3^2 + 
    955500*sinf*z2*z5 - 861000*z3*z5 - 1543500*sinf*z7)/672000, 
 H[1, 0, -1, -1, 0, 0, 0, 0, 1] -> 
  (151200*s8a - 217988*z2^4 - 352800*sinf*z2^2*z3 - 252000*z2*z3^2 - 
    168000*sinf*z2*z5 + 1449000*z3*z5 + 1656375*sinf*z7)/336000, 
 H[1, 0, -1, -1, 0, 0, 0, -1, 1] -> (2688000*ln2^2*s6 - 5376000*ln2*s7a - 
    5376000*ln2*s7b + 2001825*s8a - 16128000*s8b + 5376000*s8c - 
    5376000*s8d + 5376000*ln2*s6*sinf - 5376000*s7a*sinf - 5376000*s7b*sinf + 
    10752000*s6*z2 - 1075200*li4half*z2^2 - 44800*ln2^4*z2^2 - 
    806400*ln2^2*z2^3 - 940800*ln2*sinf*z2^3 - 1284928*z2^4 + 
    10752000*li5half*z3 - 89600*ln2^5*z3 + 896000*ln2^3*z2*z3 + 
    2654400*ln2*z2^2*z3 + 1163400*sinf*z2^2*z3 - 3360000*ln2^2*z3^2 + 
    1512000*ln2*sinf*z3^2 - 6678000*z2*z3^2 - 336000*ln2*z2*z5 + 
    7413000*sinf*z2*z5 + 13951875*z3*z5 - 5502000*ln2*z7 - 18033750*sinf*z7)/
   4704000, H[1, 0, -1, -1, 0, 0, -1, 1, 1] -> 
  (-1008000*ln2^2*s6 + 1640100*s8a - 3360000*s8b + 3360000*s8c - 
    4704000*s8d - 672000*ln2*s6*sinf + 672000*s7a*sinf + 2016000*s7b*sinf + 
    9408000*s6*z2 + 4032000*li5half*sinf*z2 - 33600*ln2^5*sinf*z2 - 
    940800*li4half*z2^2 - 39200*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 - 
    117600*ln2^2*z2^3 + 1579200*ln2*sinf*z2^3 + 1794336*z2^4 + 
    2352000*li5half*z3 - 19600*ln2^5*z3 + 196000*ln2^3*z2*z3 - 
    1764000*ln2^2*sinf*z2*z3 - 3095400*ln2*z2^2*z3 - 1192800*sinf*z2^2*z3 - 
    798000*ln2^2*z3^2 + 840000*ln2*sinf*z3^2 - 1491000*z2*z3^2 - 
    868000*ln2^3*z5 - 2604000*ln2^2*sinf*z5 - 8736000*ln2*z2*z5 - 
    10552500*sinf*z2*z5 - 2543625*z3*z5 + 14379750*sinf*z7)/1344000, 
 H[1, 0, -1, -1, 0, 0, -1, 0, 1] -> (5600*s8a + 67200*s6*z2 + 15026*z2^4 - 
    280*sinf*z2^2*z3 - 26950*z2*z3^2 - 130200*ln2*z2*z5 + 57400*sinf*z2*z5 + 
    1050*z3*z5 - 101325*sinf*z7)/44800, H[1, 0, -1, -1, 0, 0, -1, -1, 1] -> 
  (336000*ln2^2*s6 - 672000*ln2*s7a + 672000*ln2*s7b - 1045275*s8a - 
    6384000*s8b - 672000*s8c - 672000*s8d - 336000*ln2*s6*sinf - 
    336000*s7a*sinf + 336000*s7b*sinf + 2352000*s6*z2 - 134400*li4half*z2^2 - 
    5600*ln2^4*z2^2 - 100800*ln2^2*z2^3 + 58800*ln2*sinf*z2^3 - 65154*z2^4 + 
    1344000*li5half*z3 - 11200*ln2^5*z3 + 112000*ln2^3*z2*z3 + 
    676200*ln2*z2^2*z3 - 96600*sinf*z2^2*z3 - 420000*ln2^2*z3^2 - 
    94500*ln2*sinf*z3^2 + 603750*z2*z3^2 - 868000*ln2^3*z5 - 
    651000*ln2*z2*z5 - 1008000*sinf*z2*z5 - 1168125*z3*z5 + 5334000*ln2*z7 + 
    1498875*sinf*z7)/672000, H[1, 0, -1, -1, 0, -1, 1, 1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 - 
    15792000*ln2^2*s6 + 19373025*s8a + 1680000*s8b + 31584000*s8c - 
    38640000*s8d - 50064000*ln2*s6*sinf + 50064000*s7a*sinf + 
    66528000*s7b*sinf + 21168000*li4half*ln2^2*z2 + 882000*ln2^6*z2 + 
    80808000*s6*z2 - 18816000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 - 1607200*ln2^5*sinf*z2 - 36657600*li4half*z2^2 - 
    4173400*ln2^4*z2^2 + 9016000*ln2^3*sinf*z2^2 + 4443600*ln2^2*z2^3 + 
    17572800*ln2*sinf*z2^3 + 21015024*z2^4 + 100800000*li5half*z3 - 
    840000*ln2^5*z3 + 76440000*li4half*sinf*z3 + 3185000*ln2^4*sinf*z3 + 
    8400000*ln2^3*z2*z3 - 56154000*ln2^2*sinf*z2*z3 - 55314000*ln2*z2^2*z3 - 
    69400800*sinf*z2^2*z3 - 4441500*ln2^2*z3^2 + 62580000*ln2*sinf*z3^2 - 
    18469500*z2*z3^2 + 2278500*ln2^3*z5 - 15949500*ln2^2*sinf*z5 - 
    101587500*ln2*z2*z5 - 215271000*sinf*z2*z5 - 16456125*z3*z5 + 
    530971875*sinf*z7)/9408000, H[1, 0, -1, -1, 0, -1, 1, 0, 1] -> 
  (-3432450*s8a - 8736000*s8b + 5568000*ln2*s6*sinf - 5568000*s7a*sinf - 
    5568000*s7b*sinf + 2352000*s6*z2 + 1848000*li4half*z2^2 + 
    77000*ln2^4*z2^2 - 462000*ln2^2*z2^3 + 321600*ln2*sinf*z2^3 + 
    1315488*z2^4 - 5376000*li4half*sinf*z3 - 224000*ln2^4*sinf*z3 + 
    1344000*ln2^2*sinf*z2*z3 + 3969000*ln2*z2^2*z3 + 7930200*sinf*z2^2*z3 - 
    6960000*ln2*sinf*z3^2 + 2068500*z2*z3^2 + 976500*ln2*z2*z5 + 
    19054500*sinf*z2*z5 - 14298375*z3*z5 - 53137500*sinf*z7)/1344000, 
 H[1, 0, -1, -1, 0, -1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    30912000*ln2^2*s6 - 20160000*ln2*s7a - 6048000*ln2*s7b - 31097325*s8a + 
    49224000*s8b - 35616000*s8c + 49728000*s8d - 16128000*ln2*s6*sinf + 
    2016000*s7a*sinf - 35616000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 99456000*s6*z2 + 75264000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 2900800*ln2^5*sinf*z2 + 
    7123200*li4half*z2^2 + 2060800*ln2^4*z2^2 - 14896000*ln2^3*sinf*z2^2 + 
    10953600*ln2^2*z2^3 - 6568800*ln2*sinf*z2^3 - 3849072*z2^4 - 
    193536000*li5half*z3 - 98784000*li4half*ln2*z3 - 2503200*ln2^5*z3 - 
    49392000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 + 8568000*ln2^3*z2*z3 + 
    86436000*ln2^2*sinf*z2*z3 + 49782600*ln2*z2^2*z3 + 
    46048800*sinf*z2^2*z3 - 49959000*ln2^2*z3^2 - 57015000*ln2*sinf*z3^2 + 
    49056000*z2*z3^2 - 18228000*ln2^3*z5 + 36456000*ln2^2*sinf*z5 + 
    137844000*ln2*z2*z5 + 76839000*sinf*z2*z5 + 39577125*z3*z5 - 
    209435625*ln2*z7 - 320399625*sinf*z7)/18816000, 
 H[1, 0, -1, -1, 0, -1, 0, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 944475*s8a + 
    2688000*ln2*s6*sinf - 2688000*s7a*sinf - 2688000*s7b*sinf - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 - 504000*s6*z2 + 
    4032000*li5half*sinf*z2 + 4032000*li4half*ln2*sinf*z2 + 
    134400*ln2^5*sinf*z2 - 403200*li4half*z2^2 + 235200*ln2^4*z2^2 - 
    672000*ln2^3*sinf*z2^2 + 100800*ln2^2*z2^3 - 470400*ln2*sinf*z2^3 - 
    127404*z2^4 - 7056000*li5half*z3 + 58800*ln2^5*z3 - 
    4704000*li4half*sinf*z3 - 196000*ln2^4*sinf*z3 - 588000*ln2^3*z2*z3 + 
    2940000*ln2^2*sinf*z2*z3 - 352800*ln2*z2^2*z3 + 3097500*sinf*z2^2*z3 - 
    3360000*ln2*sinf*z3^2 + 792750*z2*z3^2 + 976500*ln2*z2*z5 + 
    8520750*sinf*z2*z5 + 2512125*z3*z5 - 26200125*sinf*z7)/672000, 
 H[1, 0, -1, -1, 0, -1, 0, 0, 1] -> 
  (161175*s8a - 232544*z2^4 - 439320*sinf*z2^2*z3 - 306600*z2*z3^2 - 
    369600*sinf*z2*z5 + 1786050*z3*z5 + 2066400*sinf*z7)/134400, 
 H[1, 0, -1, -1, 0, -1, 0, -1, 1] -> 
  (15456000*ln2^2*s6 - 30912000*ln2*s7a - 30912000*ln2*s7b + 23468025*s8a - 
    65688000*s8b + 30912000*s8c - 30912000*s8d + 30912000*ln2*s6*sinf - 
    30912000*s7a*sinf - 30912000*s7b*sinf + 58296000*s6*z2 - 
    6182400*li4half*z2^2 - 257600*ln2^4*z2^2 - 4636800*ln2^2*z2^3 - 
    5409600*ln2*sinf*z2^3 - 5570016*z2^4 + 61824000*li5half*z3 - 
    515200*ln2^5*z3 + 5152000*ln2^3*z2*z3 + 15262800*ln2*z2^2*z3 + 
    5506200*sinf*z2^2*z3 - 19320000*ln2^2*z3^2 + 8694000*ln2*sinf*z3^2 - 
    37920750*z2*z3^2 + 4903500*ln2*z2*z5 + 68533500*sinf*z2*z5 + 
    66171000*z3*z5 - 85309875*ln2*z7 - 144403875*sinf*z7)/9408000, 
 H[1, 0, -1, -1, 0, -1, -1, 1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 + 
    17472000*ln2^2*s6 + 4692450*s8a - 190344000*s8b + 7392000*s8c - 
    56784000*s8d + 35616000*ln2*s6*sinf - 35616000*s7a*sinf + 
    16128000*s7b*sinf - 21168000*li4half*ln2^2*z2 - 882000*ln2^6*z2 + 
    117096000*s6*z2 + 65856000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*
     z2 + 1215200*ln2^5*sinf*z2 - 17001600*li4half*z2^2 + 
    1937600*ln2^4*z2^2 - 5096000*ln2^3*sinf*z2^2 - 8332800*ln2^2*z2^3 + 
    16262400*ln2*sinf*z2^3 + 6822672*z2^4 - 11088000*li5half*z3 + 
    92400*ln2^5*z3 - 47040000*li4half*sinf*z3 - 1960000*ln2^4*sinf*z3 - 
    924000*ln2^3*z2*z3 + 11760000*ln2^2*sinf*z2*z3 - 8177400*ln2*z2^2*z3 + 
    13003200*sinf*z2^2*z3 - 8977500*ln2^2*z3^2 - 44520000*ln2*sinf*z3^2 + 
    15550500*z2*z3^2 - 25063500*ln2^3*z5 - 84304500*ln2^2*sinf*z5 + 
    46179000*ln2*z2*z5 - 72954000*sinf*z2*z5 - 22102500*z3*z5 - 
    13390125*sinf*z7)/9408000, H[1, 0, -1, -1, 0, -1, -1, 0, 1] -> 
  (-659575*s8a + 1344000*s6*z2 + 377698*z2^4 - 3500*sinf*z2^2*z3 - 
    505750*z2*z3^2 - 2604000*ln2*z2*z5 - 1317750*sinf*z2*z5 + 17500*z3*z5 + 
    2239125*sinf*z7)/224000, H[1, 0, -1, -1, 0, -1, -1, -1, 1] -> 
  (7123200*ln2^2*s6 - 14246400*ln2*s7a + 16800000*ln2*s7b - 29017275*s8a - 
    143169600*s8b - 16800000*s8c - 14246400*s8d - 7123200*ln2*s6*sinf - 
    6988800*s7a*sinf + 7123200*s7b*sinf + 51072000*s6*z2 - 
    2849280*li4half*z2^2 - 118720*ln2^4*z2^2 - 2136960*ln2^2*z2^3 + 
    1246560*ln2*sinf*z2^3 - 930072*z2^4 + 28492800*li5half*z3 - 
    237440*ln2^5*z3 + 2374400*ln2^3*z2*z3 + 14989800*ln2*z2^2*z3 - 
    2130240*sinf*z2^2*z3 - 8904000*ln2^2*z3^2 - 2003400*ln2*sinf*z3^2 + 
    15157800*z2*z3^2 - 20050800*ln2^3*z5 - 13591200*ln2*z2*z5 - 
    40181400*sinf*z2*z5 - 27741525*z3*z5 + 123588675*ln2*z7 + 
    63977025*sinf*z7)/3763200, H[1, 0, -1, -1, -1, 1, 1, 1, 1] -> 
  (-28224000*li4half^2 - 1072512000*li8half + 22400*ln2^8 - 
    93744000*ln2^2*s6 + 133958475*s8a - 340200000*s8b + 187488000*s8c - 
    201600000*s8d + 790272000*li7half*sinf - 156800*ln2^7*sinf - 
    197568000*ln2*s6*sinf + 197568000*s7a*sinf + 156800*ln2^6*z2 + 
    410256000*s6*z2 + 84672000*li5half*sinf*z2 - 1646400*ln2^5*sinf*z2 - 
    112291200*li4half*z2^2 - 8736000*ln2^4*z2^2 + 27753600*ln2^3*sinf*z2^2 + 
    77817600*ln2^2*z2^3 + 122774400*ln2*sinf*z2^3 + 139029696*z2^4 + 
    255024000*li5half*z3 - 478800*ln2^5*z3 + 63504000*li4half*sinf*z3 + 
    4704000*ln2^4*sinf*z3 + 4788000*ln2^3*z2*z3 - 112896000*ln2^2*sinf*z2*
     z3 - 253978200*ln2*z2^2*z3 - 91728000*sinf*z2^2*z3 - 
    26365500*ln2^2*z3^2 + 246960000*ln2*sinf*z3^2 - 116581500*z2*z3^2 + 
    191394000*ln2^2*sinf*z5 - 562464000*ln2*z2*z5 - 160524000*sinf*z2*z5 + 
    394671375*z3*z5 - 249385500*sinf*z7)/56448000, 
 H[1, 0, -1, -1, -1, 1, 1, 0, 1] -> 
  (7056000*li4half^2 + 588000*li4half*ln2^4 + 12250*ln2^8 + 
    48384000*ln2^2*s6 - 156480975*s8a - 720468000*s8b - 96768000*s8c - 
    69048000*s8d - 169344000*li7half*sinf + 33600*ln2^7*sinf + 
    30744000*ln2*s6*sinf - 30744000*s7a*sinf - 20160000*s7b*sinf - 
    84672000*li6half*z2 - 117600*ln2^6*z2 + 199836000*s6*z2 + 
    35280000*li5half*sinf*z2 - 999600*ln2^5*sinf*z2 - 5342400*li4half*z2^2 + 
    3084900*ln2^4*z2^2 + 2410800*ln2^3*sinf*z2^2 - 16984800*ln2^2*z2^3 - 
    14011200*ln2*sinf*z2^3 + 21737664*z2^4 + 93996000*li5half*z3 - 
    1764000*li4half*ln2*z3 - 856800*ln2^5*z3 - 24696000*li4half*sinf*z3 - 
    1029000*ln2^4*sinf*z3 + 13419000*ln2^3*z2*z3 + 9261000*ln2^2*sinf*z2*z3 + 
    118912500*ln2*z2^2*z3 + 37151100*sinf*z2^2*z3 + 12836250*ln2^2*z3^2 - 
    39973500*ln2*sinf*z3^2 + 129134250*z2*z3^2 - 10253250*ln2^2*sinf*z5 + 
    290304000*ln2*z2*z5 + 31767750*sinf*z2*z5 - 275829750*z3*z5 - 
    55361250*sinf*z7)/14112000, H[1, 0, -1, -1, -1, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2032128000*li8half + 338688000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 26600*ln2^8 - 211680000*ln2^2*s6 + 
    50400000*ln2*s7a - 133056000*ln2*s7b + 502643925*s8a + 3833928000*s8b + 
    308448000*s8c + 425376000*s8d - 564480000*li7half*sinf + 
    56448000*li6half*ln2*sinf + 190400*ln2^7*sinf + 106848000*ln2*s6*sinf - 
    120960000*s7a*sinf + 118944000*s7b*sinf - 28224000*li6half*z2 - 
    39200*ln2^6*z2 - 1210608000*s6*z2 + 28224000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 3292800*ln2^5*sinf*z2 + 
    93542400*li4half*z2^2 + 11306400*ln2^4*z2^2 - 39043200*ln2^3*sinf*z2^2 + 
    9979200*ln2^2*z2^3 - 65570400*ln2*sinf*z2^3 - 137925792*z2^4 - 
    886032000*li5half*z3 - 148176000*li4half*ln2*z3 - 436800*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 4410000*ln2^4*sinf*z3 - 20328000*ln2^3*z2*z3 + 
    111132000*ln2^2*sinf*z2*z3 - 271038600*ln2*z2^2*z3 + 
    12726000*sinf*z2^2*z3 - 24034500*ln2^2*z3^2 - 238518000*ln2*sinf*z3^2 - 
    337396500*z2*z3^2 + 177723000*ln2^3*z5 - 232407000*ln2^2*sinf*z5 - 
    528759000*ln2*z2*z5 - 343224000*sinf*z2*z5 + 330789375*z3*z5 - 
    1365462000*ln2*z7 + 937526625*sinf*z7)/56448000, 
 H[1, 0, -1, -1, -1, 1, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    192528000*ln2^2*s6 - 223525575*s8a - 584136000*s8b - 385056000*s8c + 
    300384000*s8d + 42336000*ln2*s6*sinf - 42336000*s7a*sinf - 
    141120000*s7b*sinf - 225792000*li6half*z2 + 56448000*li4half*ln2^2*z2 + 
    2038400*ln2^6*z2 - 614880000*s6*z2 - 338688000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 705600*ln2^5*sinf*z2 + 
    62899200*li4half*z2^2 - 3259200*ln2^4*z2^2 - 10584000*ln2^3*sinf*z2^2 + 
    11743200*ln2^2*z2^3 - 93139200*ln2*sinf*z2^3 - 132731712*z2^4 - 
    50400000*li5half*z3 + 14112000*li4half*ln2*z3 + 1008000*ln2^5*z3 + 
    63504000*li4half*sinf*z3 + 2646000*ln2^4*sinf*z3 + 8736000*ln2^3*z2*z3 + 
    119952000*ln2^2*sinf*z2*z3 + 344471400*ln2*z2^2*z3 + 
    52214400*sinf*z2^2*z3 + 60322500*ln2^2*z3^2 - 40572000*ln2*sinf*z3^2 + 
    341491500*z2*z3^2 + 95697000*ln2^2*sinf*z5 + 1155168000*ln2*z2*z5 + 
    960939000*sinf*z2*z5 - 109344375*z3*z5 - 1253432250*sinf*z7)/56448000, 
 H[1, 0, -1, -1, -1, 1, 0, 0, 1] -> 
  (-20664000*ln2^2*s6 + 72546075*s8a + 384048000*s8b + 41328000*s8c + 
    29232000*s8d + 43344000*ln2*s6*sinf - 43344000*s7a*sinf + 
    6048000*s7b*sinf + 56448000*li6half*z2 + 78400*ln2^6*z2 - 
    100800000*s6*z2 - 14112000*li5half*sinf*z2 + 117600*ln2^5*sinf*z2 + 
    19252800*li4half*z2^2 - 373800*ln2^4*z2^2 - 6468000*ln2^3*sinf*z2^2 - 
    3855600*ln2^2*z2^3 - 12600000*ln2*sinf*z2^3 - 19780938*z2^4 - 
    26712000*li5half*z3 + 10584000*li4half*ln2*z3 + 663600*ln2^5*z3 - 
    67032000*li4half*sinf*z3 - 2793000*ln2^4*sinf*z3 - 4872000*ln2^3*z2*z3 + 
    16758000*ln2^2*sinf*z2*z3 - 49114800*ln2*z2^2*z3 + 1436400*sinf*z2^2*z3 - 
    1181250*ln2^2*z3^2 - 44919000*ln2*sinf*z3^2 - 62968500*z2*z3^2 - 
    47848500*ln2^2*sinf*z5 - 123984000*ln2*z2*z5 - 32539500*sinf*z2*z5 + 
    118069875*z3*z5 + 124653375*sinf*z7)/14112000, 
 H[1, 0, -1, -1, -1, 1, 0, -1, 1] -> 
  (112896000*li4half^2 - 4515840000*li8half - 1806336000*li7half*ln2 - 
    225792000*li6half*ln2^2 + 9408000*li4half*ln2^4 + 128800*ln2^8 + 
    883008000*ln2^2*s6 - 213696000*ln2*s7a + 350784000*ln2*s7b - 
    1638483525*s8a - 9895032000*s8b - 1268064000*s8c - 707616000*s8d - 
    1806336000*li7half*sinf - 451584000*li6half*ln2*sinf - 
    268800*ln2^7*sinf + 387072000*ln2*s6*sinf - 316512000*s7a*sinf + 
    120960000*s7b*sinf + 112896000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 
    1293600*ln2^6*z2 + 2339568000*s6*z2 - 141120000*li5half*sinf*z2 + 
    3057600*ln2^5*sinf*z2 - 221961600*li4half*z2^2 - 8072400*ln2^4*z2^2 - 
    43747200*ln2^3*sinf*z2^2 - 219290400*ln2^2*z2^3 - 
    239601600*ln2*sinf*z2^3 + 140201856*z2^4 + 1591632000*li5half*z3 + 
    183456000*li4half*ln2*z3 - 5619600*ln2^5*z3 - 21168000*li4half*sinf*z3 - 
    882000*ln2^4*sinf*z3 + 95004000*ln2^3*z2*z3 + 17640000*ln2^2*sinf*z2*z3 + 
    1109316600*ln2*z2^2*z3 - 41302800*sinf*z2^2*z3 - 10962000*ln2^2*z3^2 - 
    239967000*ln2*sinf*z3^2 + 1268347500*z2*z3^2 - 546840000*ln2^3*z5 - 
    423801000*ln2^2*sinf*z5 + 2756124000*ln2*z2*z5 - 351792000*sinf*z2*z5 - 
    842569875*z3*z5 + 4102654500*ln2*z7 + 2431658250*sinf*z7)/56448000, 
 H[1, 0, -1, -1, -1, 1, -1, 1, 1] -> 
  (-84672000*li4half^2 + 2483712000*li8half - 197568000*li6half*ln2^2 - 
    56448000*li5half*ln2^3 - 9408000*li4half*ln2^4 + 12600*ln2^8 - 
    231840000*ln2^2*s6 + 633400425*s8a + 3932712000*s8b + 336672000*s8c + 
    453600000*s8d + 56448000*li7half*sinf - 84672000*li5half*ln2^2*sinf + 
    694400*ln2^7*sinf - 68544000*ln2*s6*sinf + 68544000*s7a*sinf - 
    171360000*s7b*sinf + 197568000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 509600*ln2^6*z2 - 1238832000*s6*z2 - 
    56448000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*z2 - 
    2116800*ln2^5*sinf*z2 + 102009600*li4half*z2^2 + 2486400*ln2^4*z2^2 + 
    9172800*ln2^3*sinf*z2^2 + 34473600*ln2^2*z2^3 - 7509600*ln2*sinf*z2^3 - 
    263409192*z2^4 - 857808000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    4914000*ln2^5*z3 + 91728000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 - 
    51492000*ln2^3*z2*z3 + 74088000*ln2^2*sinf*z2*z3 - 
    379499400*ln2*z2^2*z3 + 47854800*sinf*z2^2*z3 - 54400500*ln2^2*z3^2 + 
    73332000*ln2*sinf*z3^2 - 406192500*z2*z3^2 - 18228000*ln2^3*z5 + 
    205065000*ln2^2*sinf*z5 - 955332000*ln2*z2*z5 + 753858000*sinf*z2*z5 + 
    464412375*z3*z5 - 1340332875*sinf*z7)/56448000, 
 H[1, 0, -1, -1, -1, 1, -1, 0, 1] -> 
  (-145152000*ln2^2*s6 + 423347400*s8a + 3045168000*s8b + 290304000*s8c + 
    358848000*s8d + 903168000*li7half*sinf - 179200*ln2^7*sinf + 
    82656000*ln2*s6*sinf - 82656000*s7a*sinf - 167328000*s7b*sinf - 
    366912000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 - 1218672000*s6*z2 - 
    254016000*li5half*sinf*z2 + 5880000*ln2^5*sinf*z2 + 
    174787200*li4half*z2^2 - 13297200*ln2^4*z2^2 - 6585600*ln2^3*sinf*z2^2 + 
    61891200*ln2^2*z2^3 - 15271200*ln2*sinf*z2^3 + 22800024*z2^4 - 
    230832000*li5half*z3 + 56448000*li4half*ln2*z3 + 4275600*ln2^5*z3 - 
    359856000*li4half*sinf*z3 - 14994000*ln2^4*sinf*z3 - 
    53928000*ln2^3*z2*z3 + 77616000*ln2^2*sinf*z2*z3 - 
    307566000*ln2*z2^2*z3 + 164354400*sinf*z2^2*z3 - 16128000*ln2^2*z3^2 - 
    53928000*ln2*sinf*z3^2 - 343854000*z2*z3^2 + 82026000*ln2^2*sinf*z5 - 
    952938000*ln2*z2*z5 + 479619000*sinf*z2*z5 + 521435250*z3*z5 - 
    1326835125*sinf*z7)/56448000, H[1, 0, -1, -1, -1, 1, -1, -1, 1] -> 
  (84672000*li4half^2 - 4007808000*li8half - 677376000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 56448000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 - 33600*ln2^8 + 601776000*ln2^2*s6 - 
    4032000*ln2*s7a + 80640000*ln2*s7b - 1256690925*s8a - 7367976000*s8b - 
    941472000*s8c - 469728000*s8d - 846720000*li7half*sinf - 
    169344000*li6half*ln2*sinf + 84672000*li5half*ln2^2*sinf - 
    772800*ln2^7*sinf + 272160000*ln2*s6*sinf - 145152000*s7a*sinf + 
    52416000*s7b*sinf + 84672000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 + 196000*ln2^6*z2 + 1581552000*s6*z2 - 
    282240000*li5half*sinf*z2 + 2352000*ln2^5*sinf*z2 - 
    153216000*li4half*z2^2 - 3796800*ln2^4*z2^2 - 32692800*ln2^3*sinf*z2^2 - 
    121363200*ln2^2*z2^3 - 194040000*ln2*sinf*z2^3 + 144847872*z2^4 + 
    1313424000*li5half*z3 + 162288000*li4half*ln2*z3 - 2536800*ln2^5*z3 - 
    14112000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 + 52416000*ln2^3*z2*z3 - 
    8820000*ln2^2*sinf*z2*z3 + 905599800*ln2*z2^2*z3 - 
    14716800*sinf*z2^2*z3 + 150727500*ln2^2*z3^2 - 136458000*ln2*sinf*z3^2 + 
    933439500*z2*z3^2 - 63798000*ln2^3*z5 - 164052000*ln2^2*sinf*z5 + 
    2557548000*ln2*z2*z5 - 160146000*sinf*z2*z5 - 571559625*z3*z5 + 
    1677406500*ln2*z7 + 1492296750*sinf*z7)/56448000, 
 H[1, 0, -1, -1, -1, 0, 1, 1, 1] -> (576000*li4half^2 + 48000*li4half*ln2^4 + 
    1000*ln2^8 - 130725*s8a + 576000*ln2*s6*sinf - 576000*s7a*sinf - 
    576000*s7b*sinf - 288000*li4half*ln2^2*z2 - 12000*ln2^6*z2 + 
    432000*li5half*sinf*z2 + 432000*li4half*ln2*sinf*z2 + 
    14400*ln2^5*sinf*z2 + 590400*li4half*z2^2 + 60600*ln2^4*z2^2 - 
    72000*ln2^3*sinf*z2^2 - 147600*ln2^2*z2^3 - 100800*ln2*sinf*z2^3 - 
    59526*z2^4 - 1044000*li5half*z3 - 36000*li4half*ln2*z3 + 7200*ln2^5*z3 - 
    1044000*li4half*sinf*z3 - 43500*ln2^4*sinf*z3 - 78000*ln2^3*z2*z3 + 
    450000*ln2^2*sinf*z2*z3 + 516600*ln2*z2^2*z3 + 765900*sinf*z2^2*z3 - 
    15750*ln2^2*z3^2 - 751500*ln2*sinf*z3^2 + 15750*z2*z3^2 + 
    1543500*sinf*z2*z5 - 405000*z3*z5 - 4692375*sinf*z7)/288000, 
 H[1, 0, -1, -1, -1, 0, 1, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 915075*s8a - 
    8064000*ln2*s6*sinf + 8064000*s7a*sinf + 8064000*s7b*sinf + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 1108800*li4half*z2^2 - 
    298200*ln2^4*z2^2 + 277200*ln2^2*z2^3 + 1411200*ln2*sinf*z2^3 + 
    13812*z2^4 + 4032000*li5half*z3 - 3024000*li4half*ln2*z3 - 
    159600*ln2^5*z3 + 11088000*li4half*sinf*z3 + 462000*ln2^4*sinf*z3 + 
    1092000*ln2^3*z2*z3 - 2772000*ln2^2*sinf*z2*z3 - 970200*ln2*z2^2*z3 - 
    8712900*sinf*z2^2*z3 - 1323000*ln2^2*z3^2 + 7434000*ln2*sinf*z3^2 - 
    582750*z2*z3^2 - 22396500*sinf*z2*z5 + 2457000*z3*z5 + 54770625*sinf*z7)/
   2016000, H[1, 0, -1, -1, -1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    12432000*ln2^2*s6 - 30912000*ln2*s7a + 63168000*ln2*s7b - 72921975*s8a - 
    598920000*s8b - 10080000*s8c - 131040000*s8d - 47040000*ln2*s6*sinf + 
    94080000*s7b*sinf - 28224000*li5half*ln2*z2 + 235200*ln2^6*z2 + 
    356160000*s6*z2 - 56448000*li4half*ln2*sinf*z2 - 2352000*ln2^5*sinf*z2 - 
    5040000*li4half*z2^2 + 966000*ln2^4*z2^2 + 14112000*ln2^3*sinf*z2^2 - 
    15657600*ln2^2*z2^3 + 42907200*ln2*sinf*z2^3 + 32207064*z2^4 + 
    280896000*li5half*z3 + 35280000*li4half*ln2*z3 - 870800*ln2^5*z3 + 
    44688000*li4half*sinf*z3 + 1862000*ln2^4*sinf*z3 + 2240000*ln2^3*z2*z3 - 
    60564000*ln2^2*sinf*z2*z3 + 43205400*ln2*z2^2*z3 - 
    50450400*sinf*z2^2*z3 - 30975000*ln2^2*z3^2 + 12495000*ln2*sinf*z3^2 + 
    35490000*z2*z3^2 - 91140000*ln2^3*z5 - 91140000*ln2^2*sinf*z5 - 
    154728000*ln2*z2*z5 - 259455000*sinf*z2*z5 - 323570625*z3*z5 + 
    385218750*ln2*z7 + 488885250*sinf*z7)/18816000, 
 H[1, 0, -1, -1, -1, 0, 0, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 335475*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 6048000*li5half*sinf*z2 - 
    6048000*li4half*ln2*sinf*z2 - 201600*ln2^5*sinf*z2 + 
    403200*li4half*z2^2 - 235200*ln2^4*z2^2 + 1008000*ln2^3*sinf*z2^2 - 
    100800*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 - 945624*z2^4 + 
    8568000*li5half*z3 + 1512000*li4half*ln2*z3 - 8400*ln2^5*z3 + 
    5040000*li4half*sinf*z3 + 210000*ln2^4*sinf*z3 + 336000*ln2^3*z2*z3 - 
    3906000*ln2^2*sinf*z2*z3 + 352800*ln2*z2^2*z3 - 3150000*sinf*z2^2*z3 + 
    661500*ln2^2*z3^2 + 3843000*ln2*sinf*z3^2 - 2724750*z2*z3^2 - 
    7087500*sinf*z2*z5 + 4614750*z3*z5 + 26696250*sinf*z7)/2016000, 
 H[1, 0, -1, -1, -1, 0, 0, 0, 1] -> 
  (-565425*s8a + 504000*li4half*z2^2 + 21000*ln2^4*z2^2 - 126000*ln2^2*z2^3 + 
    484492*z2^4 + 441000*ln2*z2^2*z3 + 995400*sinf*z2^2*z3 + 766500*z2*z3^2 + 
    672000*sinf*z2*z5 - 4906125*z3*z5 - 4423125*sinf*z7)/672000, 
 H[1, 0, -1, -1, -1, 0, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    5040000*ln2^2*s6 - 10080000*ln2*s7a - 10080000*ln2*s7b + 6522075*s8a + 
    117936000*s8b + 10080000*s8c - 10080000*s8d - 18144000*ln2*s6*sinf + 
    18144000*s7a*sinf + 18144000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 20160000*s6*z2 + 32558400*li4half*z2^2 - 
    407400*ln2^4*z2^2 - 10155600*ln2^2*z2^3 + 3175200*ln2*sinf*z2^3 + 
    21580152*z2^4 - 1008000*li5half*z3 - 70560000*li4half*ln2*z3 - 
    2931600*ln2^5*z3 - 21168000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 
    17556000*ln2^3*z2*z3 + 5292000*ln2^2*sinf*z2*z3 + 35229600*ln2*z2^2*z3 + 
    8631000*sinf*z2^2*z3 - 37170000*ln2^2*z3^2 - 23625000*ln2*sinf*z3^2 + 
    2252250*z2*z3^2 - 630000*ln2*z2*z5 - 44037000*sinf*z2*z5 - 
    131614875*z3*z5 - 304353000*ln2*z7 + 79758000*sinf*z7)/28224000, 
 H[1, 0, -1, -1, -1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    9072000*ln2^2*s6 - 47103525*s8a + 608328000*s8b - 159264000*s8c + 
    300384000*s8d - 94752000*ln2*s6*sinf + 94752000*s7a*sinf - 
    46368000*s7b*sinf + 84672000*li5half*ln2*z2 + 112896000*li4half*ln2^2*
     z2 + 3998400*ln2^6*z2 - 600768000*s6*z2 - 338688000*li5half*sinf*z2 - 
    169344000*li4half*ln2*sinf*z2 - 4233600*ln2^5*sinf*z2 + 
    19152000*li4half*z2^2 - 16842000*ln2^4*z2^2 + 14112000*ln2^3*sinf*z2^2 + 
    27417600*ln2^2*z2^3 - 87444000*ln2*sinf*z2^3 - 96994584*z2^4 - 
    99792000*li5half*z3 + 56448000*li4half*ln2*z3 + 3183600*ln2^5*z3 + 
    176400000*li4half*sinf*z3 + 7350000*ln2^4*sinf*z3 + 
    14616000*ln2^3*z2*z3 - 44100000*ln2^2*sinf*z2*z3 + 8253000*ln2*z2^2*z3 - 
    71517600*sinf*z2^2*z3 + 105966000*ln2^2*z3^2 + 167832000*ln2*sinf*z3^2 - 
    16821000*z2*z3^2 + 91140000*ln2^3*z5 + 273420000*ln2^2*sinf*z5 + 
    193788000*ln2*z2*z5 + 265419000*sinf*z2*z5 + 432644625*z3*z5 + 
    247849875*sinf*z7)/56448000, H[1, 0, -1, -1, -1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 2775150*s8a - 
    8064000*ln2*s6*sinf + 8064000*s7a*sinf + 8064000*s7b*sinf + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 15120000*s6*z2 + 
    3830400*li4half*z2^2 - 344400*ln2^4*z2^2 - 957600*ln2^2*z2^3 + 
    1411200*ln2*sinf*z2^3 - 1279056*z2^4 + 6048000*li5half*z3 - 
    8064000*li4half*ln2*z3 - 386400*ln2^5*z3 + 6048000*li4half*sinf*z3 + 
    252000*ln2^4*sinf*z3 + 2520000*ln2^3*z2*z3 - 1512000*ln2^2*sinf*z2*z3 + 
    3351600*ln2*z2^2*z3 - 3817800*sinf*z2^2*z3 - 3528000*ln2^2*z3^2 + 
    3024000*ln2*sinf*z3^2 + 11576250*z2*z3^2 + 29295000*ln2*z2*z5 - 
    2835000*sinf*z2*z5 - 32476500*z3*z5 + 12229875*sinf*z7)/4032000, 
 H[1, 0, -1, -1, -1, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    22512000*ln2^2*s6 + 45024000*ln2*s7a - 49056000*ln2*s7b + 87355275*s8a + 
    458472000*s8b + 49056000*s8c + 45024000*s8d + 8064000*ln2*s6*sinf + 
    38976000*s7a*sinf - 8064000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 160608000*s6*z2 + 32995200*li4half*z2^2 - 
    389200*ln2^4*z2^2 + 756000*ln2^2*z2^3 - 1411200*ln2*sinf*z2^3 + 
    5403864*z2^4 - 92400000*li5half*z3 - 51744000*li4half*ln2*z3 - 
    1386000*ln2^5*z3 - 2352000*li4half*sinf*z3 - 98000*ln2^4*sinf*z3 + 
    5236000*ln2^3*z2*z3 + 588000*ln2^2*sinf*z2*z3 - 25347000*ln2*z2^2*z3 + 
    4905600*sinf*z2^2*z3 + 5502000*ln2^2*z3^2 + 210000*ln2*sinf*z3^2 - 
    30691500*z2*z3^2 + 60760000*ln2^3*z5 + 45444000*ln2*z2*z5 + 
    119238000*sinf*z2*z5 + 19254375*z3*z5 - 410447625*ln2*z7 - 
    172893000*sinf*z7)/18816000, H[1, 0, -1, -1, -1, -1, 1, 1, 1] -> 
  (42336000*li4half^2 - 451584000*li8half - 9408000*li5half*ln2^3 - 
    1176000*li4half*ln2^4 - 55300*ln2^8 + 1008000*ln2^2*s6 - 40998825*s8a - 
    509040000*s8b - 2016000*s8c - 89712000*s8d + 169344000*li7half*sinf - 
    4704000*li4half*ln2^3*sinf - 229600*ln2^7*sinf - 14112000*ln2*s6*sinf + 
    14112000*s7a*sinf + 28224000*li5half*ln2*z2 + 470400*ln2^6*z2 + 
    225288000*s6*z2 + 14112000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*
     z2 + 940800*ln2^5*sinf*z2 - 19353600*li4half*z2^2 - 1717800*ln2^4*z2^2 + 
    2822400*ln2^3*sinf*z2^2 + 13658400*ln2^2*z2^3 + 21672000*ln2*sinf*z2^3 + 
    46931328*z2^4 + 91224000*li5half*z3 + 3528000*li4half*ln2*z3 - 
    1436400*ln2^5*z3 - 24696000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 + 
    8778000*ln2^3*z2*z3 - 14994000*ln2^2*sinf*z2*z3 + 2142000*ln2*z2^2*z3 - 
    529200*sinf*z2^2*z3 + 1827000*ln2^2*z3^2 + 20727000*ln2*sinf*z3^2 + 
    22680000*z2*z3^2 + 4557000*ln2^3*z5 + 13671000*ln2^2*sinf*z5 - 
    7623000*ln2*z2*z5 - 28224000*sinf*z2*z5 + 12387375*z3*z5 - 
    97571250*sinf*z7)/28224000, H[1, 0, -1, -1, -1, -1, 1, 0, 1] -> 
  (-70560000*li4half^2 - 5880000*li4half*ln2^4 - 122500*ln2^8 + 
    19152000*ln2^2*s6 - 85328775*s8a - 456624000*s8b - 38304000*s8c - 
    53424000*s8d - 112896000*li7half*sinf + 22400*ln2^7*sinf - 
    56448000*ln2*s6*sinf + 56448000*s7a*sinf + 42336000*s7b*sinf - 
    28224000*li5half*ln2*z2 + 235200*ln2^6*z2 + 180936000*s6*z2 + 
    42336000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*z2 - 
    1411200*ln2^5*sinf*z2 + 6249600*li4half*z2^2 + 3641400*ln2^4*z2^2 + 
    6115200*ln2^3*sinf*z2^2 - 13860000*ln2^2*z2^3 + 15069600*ln2*sinf*z2^3 + 
    16464456*z2^4 + 110376000*li5half*z3 - 45864000*li4half*ln2*z3 - 
    2830800*ln2^5*z3 + 81144000*li4half*sinf*z3 + 3381000*ln2^4*sinf*z3 + 
    10374000*ln2^3*z2*z3 - 26460000*ln2^2*sinf*z2*z3 + 81270000*ln2*z2^2*z3 - 
    35280000*sinf*z2^2*z3 - 14679000*ln2^2*z3^2 + 30429000*ln2*sinf*z3^2 + 
    60039000*z2*z3^2 + 13671000*ln2^2*sinf*z5 + 128583000*ln2*z2*z5 - 
    124362000*sinf*z2*z5 - 205088625*z3*z5 + 287697375*sinf*z7)/28224000, 
 H[1, 0, -1, -1, -1, -1, 1, -1, 1] -> 
  (-42336000*li4half^2 + 1100736000*li8half + 282240000*li7half*ln2 + 
    42336000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 
    74200*ln2^8 - 139104000*ln2^2*s6 + 29232000*ln2*s7a - 20160000*ln2*s7b + 
    263209275*s8a + 1679832000*s8b + 205632000*s8c + 104832000*s8d + 
    169344000*li7half*sinf + 84672000*li6half*ln2*sinf + 
    4704000*li4half*ln2^3*sinf + 280000*ln2^7*sinf - 84672000*ln2*s6*sinf + 
    70560000*s7a*sinf - 42336000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    686000*ln2^6*z2 - 357840000*s6*z2 + 70560000*li5half*sinf*z2 - 
    14112000*li4half*ln2*sinf*z2 - 1646400*ln2^5*sinf*z2 + 
    42134400*li4half*z2^2 + 2167200*ln2^4*z2^2 + 8467200*ln2^3*sinf*z2^2 + 
    15472800*ln2^2*z2^3 + 38707200*ln2*sinf*z2^3 - 39357036*z2^4 - 
    283752000*li5half*z3 - 21168000*li4half*ln2*z3 + 2305800*ln2^5*z3 + 
    17640000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 - 20412000*ln2^3*z2*z3 - 
    4410000*ln2^2*sinf*z2*z3 - 199546200*ln2*z2^2*z3 - 3528000*sinf*z2^2*z3 - 
    17514000*ln2^2*z3^2 + 37926000*ln2*sinf*z3^2 - 184212000*z2*z3^2 + 
    43291500*ln2^3*z5 + 68355000*ln2^2*sinf*z5 - 542461500*ln2*z2*z5 + 
    2205000*sinf*z2*z5 + 5520375*z3*z5 - 376905375*ln2*z7 - 
    237147750*sinf*z7)/28224000, H[1, 0, -1, -1, -1, -1, 0, 1, 1] -> 
  (201600*ln2*s6*sinf - 201600*s7a*sinf - 201600*s7b*sinf - 
    403200*li6half*z2 - 403200*li5half*ln2*z2 - 201600*li4half*ln2^2*z2 - 
    5600*ln2^6*z2 - 100800*s6*z2 + 100800*li5half*sinf*z2 + 
    100800*li4half*ln2*sinf*z2 + 3360*ln2^5*sinf*z2 + 100800*li4half*z2^2 + 
    29400*ln2^4*z2^2 - 16800*ln2^3*sinf*z2^2 - 25200*ln2^2*z2^3 - 
    35280*ln2*sinf*z2^3 + 33993*z2^4 + 126000*li5half*z3 + 
    126000*li4half*ln2*z3 + 4200*ln2^5*z3 - 226800*li4half*sinf*z3 - 
    9450*ln2^4*sinf*z3 - 79800*ln2^3*z2*z3 + 100800*ln2^2*sinf*z2*z3 + 
    88200*ln2*z2^2*z3 + 179550*sinf*z2^2*z3 + 55125*ln2^2*z3^2 - 
    141750*ln2*sinf*z3^2 - 28350*z2*z3^2 + 195300*ln2*z2*z5 + 
    507150*sinf*z2*z5 - 15750*z3*z5 - 1390725*sinf*z7)/201600, 
 H[1, 0, -1, -1, -1, -1, 0, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 688275*s8a + 
    2016000*ln2*s6*sinf - 2016000*s7a*sinf - 2016000*s7b*sinf - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 - 1915200*li4half*z2^2 + 
    172200*ln2^4*z2^2 + 478800*ln2^2*z2^3 - 352800*ln2*sinf*z2^3 - 
    432756*z2^4 - 5040000*li5half*z3 + 2016000*li4half*ln2*z3 + 
    126000*ln2^5*z3 - 1512000*li4half*sinf*z3 - 63000*ln2^4*sinf*z3 - 
    924000*ln2^3*z2*z3 + 378000*ln2^2*sinf*z2*z3 - 1675800*ln2*z2^2*z3 + 
    844200*sinf*z2^2*z3 + 882000*ln2^2*z3^2 - 756000*ln2*sinf*z3^2 - 
    897750*z2*z3^2 + 3906000*sinf*z2*z5 + 9442125*z3*z5 - 8095500*sinf*z7)/
   2016000, H[1, 0, -1, -1, -1, -1, 0, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    5040000*ln2^2*s6 - 10080000*ln2*s7a - 10080000*ln2*s7b + 6185025*s8a - 
    2520000*s8b + 10080000*s8c - 10080000*s8d + 10080000*ln2*s6*sinf - 
    10080000*s7a*sinf - 10080000*s7b*sinf - 8064000*li6half*z2 - 
    8064000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 28000*ln2^6*z2 + 
    18144000*s6*z2 - 4032000*li5half*sinf*z2 - 4032000*li4half*ln2*sinf*z2 - 
    134400*ln2^5*sinf*z2 + 403200*li4half*z2^2 + 268800*ln2^4*z2^2 + 
    672000*ln2^3*sinf*z2^2 - 2116800*ln2^2*z2^3 - 1764000*ln2*sinf*z2^3 + 
    2517624*z2^4 + 29232000*li5half*z3 + 2016000*li4half*ln2*z3 - 
    159600*ln2^5*z3 + 2016000*li4half*sinf*z3 + 84000*ln2^4*sinf*z3 + 
    756000*ln2^3*z2*z3 - 2268000*ln2^2*sinf*z2*z3 + 7093800*ln2*z2^2*z3 + 
    1209600*sinf*z2^2*z3 - 5418000*ln2^2*z3^2 + 4599000*ln2*sinf*z3^2 - 
    14521500*z2*z3^2 + 3276000*ln2*z2*z5 + 13482000*sinf*z2*z5 + 
    6764625*z3*z5 - 65323125*ln2*z7 - 25948125*sinf*z7)/8064000, 
 H[1, 0, -1, -1, -1, -1, -1, 1, 1] -> 
  (1008000*li4half^2 - 18144000*li8half + 3024000*li6half*ln2^2 + 
    1344000*li5half*ln2^3 + 420000*li4half*ln2^4 + 8300*ln2^8 + 
    2520000*ln2^2*s6 - 4145400*s8a - 23184000*s8b - 4032000*s8c - 
    2016000*li7half*sinf + 1008000*li5half*ln2^2*sinf + 
    336000*li4half*ln2^3*sinf + 6000*ln2^7*sinf + 2016000*ln2*s6*sinf - 
    2016000*s7a*sinf - 3024000*li6half*z2 - 2016000*li5half*ln2*z2 - 
    1008000*li4half*ln2^2*z2 - 51800*ln2^6*z2 + 1512000*s6*z2 - 
    2016000*li5half*sinf*z2 - 16800*ln2^5*sinf*z2 - 403200*li4half*z2^2 + 
    79800*ln2^4*z2^2 - 151200*ln2^3*sinf*z2^2 + 43200*ln2^2*z2^3 - 
    921600*ln2*sinf*z2^3 + 525816*z2^4 + 4284000*li5half*z3 + 
    1764000*li4half*ln2*z3 + 96600*ln2^5*z3 - 504000*li4half*sinf*z3 + 
    52500*ln2^4*sinf*z3 - 231000*ln2^3*z2*z3 + 126000*ln2^2*sinf*z2*z3 + 
    3049200*ln2*z2^2*z3 + 100800*sinf*z2^2*z3 + 1590750*ln2^2*z3^2 - 
    976500*ln2*sinf*z3^2 + 2567250*z2*z3^2 - 325500*ln2^3*z5 - 
    1953000*ln2^2*sinf*z5 + 12096000*ln2*z2*z5 - 63000*sinf*z2*z5 + 
    3772125*z3*z5 + 3953250*sinf*z7)/2016000, 
 H[1, 0, -1, -1, -1, -1, -1, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 154350*s8a - 
    2016000*ln2*s6*sinf + 2016000*s7a*sinf + 2016000*s7b*sinf + 
    10080000*li6half*z2 + 10080000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 98000*ln2^6*z2 + 1008000*s6*z2 + 
    2016000*li5half*sinf*z2 + 2016000*li4half*ln2*sinf*z2 + 
    67200*ln2^5*sinf*z2 - 1209600*li4half*z2^2 - 554400*ln2^4*z2^2 - 
    336000*ln2^3*sinf*z2^2 + 302400*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 - 
    999576*z2^4 - 7560000*li5half*z3 - 4032000*li4half*ln2*z3 - 
    105000*ln2^5*z3 - 504000*li4half*sinf*z3 - 21000*ln2^4*sinf*z3 + 
    1848000*ln2^3*z2*z3 + 1008000*ln2^2*sinf*z2*z3 - 1058400*ln2*z2^2*z3 - 
    201600*sinf*z2^2*z3 - 1764000*ln2^2*z3^2 - 1008000*ln2*sinf*z3^2 + 
    2268000*z2*z3^2 - 1953000*ln2*z2*z5 - 3906000*sinf*z2*z5 - 
    2803500*z3*z5 + 5189625*sinf*z7)/4032000, 
 H[1, 0, -1, -1, -1, -1, -1, -1, 1] -> 
  (-201600*li4half^2 - 1612800*li8half - 1612800*li7half*ln2 - 
    806400*li6half*ln2^2 - 268800*li5half*ln2^3 - 84000*li4half*ln2^4 - 
    1750*ln2^8 + 100800*ln2^2*s6 - 201600*ln2*s7a - 105525*s8a - 
    1209600*s8b - 201600*s8d - 403200*li7half*sinf - 
    403200*li6half*ln2*sinf - 201600*li5half*ln2^2*sinf - 
    67200*li4half*ln2^3*sinf - 1600*ln2^7*sinf + 201600*li6half*z2 + 
    201600*li5half*ln2*z2 + 201600*li4half*ln2^2*z2 + 12600*ln2^6*z2 + 
    504000*s6*z2 + 6720*ln2^5*sinf*z2 + 120960*li4half*z2^2 - 
    20160*ln2^4*z2^2 - 70560*ln2^2*z2^3 + 128988*z2^4 + 352800*li5half*z3 - 
    403200*li4half*ln2*z3 - 31500*ln2^5*z3 - 14700*ln2^4*sinf*z3 + 
    159600*ln2^3*z2*z3 + 292320*ln2*z2^2*z3 - 302400*ln2^2*z3^2 + 
    50400*z2*z3^2 - 130200*ln2^3*z5 - 6300*ln2*z2*z5 - 162225*z3*z5 + 
    596925*ln2*z7 + 403200*sinf*z7)/403200, H[1, -1, 1, 1, 1, 1, 1, 1, 1] -> 
  -7*li8half + li7half*sinf, H[1, -1, 1, 1, 1, 1, 1, 0, 1] -> 
  (122304000*li8half - 4704000*li6half*ln2^2 - 3500*ln2^8 + 
    3360000*ln2^2*s6 - 3785775*s8a + 31920000*s8b - 6720000*s8c + 
    13776000*s8d - 37632000*li7half*sinf - 9408000*li6half*ln2*sinf - 
    5600*ln2^7*sinf + 4704000*ln2*s6*sinf - 4704000*s7a*sinf - 
    4704000*li6half*z2 + 58800*ln2^6*z2 - 31080000*s6*z2 + 
    78400*ln2^5*sinf*z2 + 2755200*li4half*z2^2 + 144200*ln2^4*z2^2 + 
    78400*ln2^3*sinf*z2^2 - 1663200*ln2^2*z2^3 - 1881600*ln2*sinf*z2^3 - 
    6520644*z2^4 - 27552000*li5half*z3 - 84000*ln2^5*z3 - 
    392000*ln2^4*sinf*z3 + 840000*ln2^3*z2*z3 + 2352000*ln2^2*sinf*z2*z3 + 
    7434000*ln2*z2^2*z3 + 3528000*sinf*z2^2*z3 + 945000*ln2^2*z3^2 - 
    5880000*ln2*sinf*z3^2 + 2541000*z2*z3^2 - 3136000*ln2^3*z5 - 
    9261000*ln2^2*sinf*z5 + 29568000*ln2*z2*z5 + 4557000*sinf*z2*z5 - 
    8596875*z3*z5 + 4520250*sinf*z7)/9408000, 
 H[1, -1, 1, 1, 1, 1, 1, -1, 1] -> (6048000*li4half^2 + 32256000*li8half - 
    2016000*li6half*ln2^2 - 1344000*li5half*ln2^3 - 2000*ln2^8 + 
    1008000*ln2^2*s6 - 1901025*s8a + 12600000*s8b - 2016000*s8c + 
    2016000*s8d - 8064000*li7half*sinf - 4032000*li6half*ln2*sinf - 
    2016000*li5half*ln2^2*sinf - 672000*li4half*ln2^3*sinf - 
    16000*ln2^7*sinf + 2016000*ln2*s6*sinf - 2016000*s7a*sinf - 
    2016000*s7b*sinf + 2016000*li6half*z2 + 4032000*li5half*ln2*z2 + 
    22400*ln2^6*z2 - 4032000*s6*z2 + 2016000*li5half*sinf*z2 + 
    2016000*li4half*ln2*sinf*z2 + 134400*ln2^5*sinf*z2 + 
    403200*li4half*z2^2 - 67200*ln2^4*z2^2 - 336000*ln2^3*sinf*z2^2 - 
    50400*ln2^2*z2^3 - 352800*ln2*sinf*z2^3 - 1030824*z2^4 - 
    11088000*li5half*z3 - 25200*ln2^5*z3 - 3528000*li4half*sinf*z3 - 
    294000*ln2^4*sinf*z3 + 252000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 + 
    2230200*ln2*z2^2*z3 + 3225600*sinf*z2^2*z3 + 283500*ln2^2*z3^2 - 
    2520000*ln2*sinf*z3^2 + 1291500*z2*z3^2 + 6048000*ln2*z2*z5 + 
    5922000*sinf*z2*z5 - 12371625*z3*z5 - 24192000*ln2*z7 - 13253625*sinf*z7)/
   4032000, H[1, -1, 1, 1, 1, 1, 0, 1, 1] -> 
  (-423360000*li8half + 70560000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 
    9100*ln2^8 - 3024000*ln2^2*s6 - 46270350*s8a - 515592000*s8b + 
    6048000*s8c - 111888000*s8d + 310464000*li7half*sinf + 
    141120000*li6half*ln2*sinf + 14112000*li5half*ln2^2*sinf + 
    16800*ln2^7*sinf - 43344000*ln2*s6*sinf + 43344000*s7a*sinf - 
    20160000*s7b*sinf - 211680000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    254800*ln2^6*z2 + 276696000*s6*z2 + 14112000*li5half*sinf*z2 - 
    352800*ln2^5*sinf*z2 - 22377600*li4half*z2^2 - 1961400*ln2^4*z2^2 - 
    1058400*ln2^3*sinf*z2^2 + 8870400*ln2^2*z2^3 + 15019200*ln2*sinf*z2^3 + 
    70391844*z2^4 + 216720000*li5half*z3 + 75600*ln2^5*z3 + 
    2352000*ln2^4*sinf*z3 - 756000*ln2^3*z2*z3 - 14112000*ln2^2*sinf*z2*z3 - 
    6690600*ln2*z2^2*z3 - 15372000*sinf*z2^2*z3 - 850500*ln2^2*z3^2 + 
    54180000*ln2*sinf*z3^2 + 22585500*z2*z3^2 + 37632000*ln2^3*z5 + 
    117967500*ln2^2*sinf*z5 - 131040000*ln2*z2*z5 + 4756500*sinf*z2*z5 + 
    19230750*z3*z5 - 221342625*sinf*z7)/28224000, 
 H[1, -1, 1, 1, 1, 1, 0, 0, 1] -> 
  (564480000*li8half - 56448000*li6half*ln2^2 - 64400*ln2^8 - 
    79632000*ln2^2*s6 + 292608225*s8a + 1642536000*s8b + 187488000*s8c + 
    122976000*s8d - 338688000*li7half*sinf - 112896000*li6half*ln2*sinf - 
    89600*ln2^7*sinf + 58464000*ln2*s6*sinf - 30240000*s7a*sinf + 
    40320000*s7b*sinf + 225792000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    392000*ln2^6*z2 - 387072000*s6*z2 + 28224000*li5half*sinf*z2 + 
    705600*ln2^5*sinf*z2 + 24595200*li4half*z2^2 - 621600*ln2^4*z2^2 - 
    2116800*ln2^3*sinf*z2^2 - 4082400*ln2^2*z2^3 - 28022400*ln2*sinf*z2^3 - 
    84078504*z2^4 - 281232000*li5half*z3 + 462000*ln2^5*z3 - 
    2352000*ln2^4*sinf*z3 - 28140000*ln2^3*z2*z3 - 189063000*ln2*z2^2*z3 - 
    14414400*sinf*z2^2*z3 - 29893500*ln2^2*z3^2 - 44856000*ln2*sinf*z3^2 - 
    229477500*z2*z3^2 - 37632000*ln2^3*z5 - 124803000*ln2^2*sinf*z5 - 
    534240000*ln2*z2*z5 - 92421000*sinf*z2*z5 + 168989625*z3*z5 + 
    500897250*sinf*z7)/56448000, H[1, -1, 1, 1, 1, 1, 0, -1, 1] -> 
  (-6048000*li4half^2 + 217728000*li8half + 12096000*li7half*ln2 - 
    10080000*li6half*ln2^2 - 1344000*li5half*ln2^3 - 504000*li4half*ln2^4 - 
    10300*ln2^8 - 9936000*ln2^2*s6 - 6192000*ln2*s7a + 2880000*ln2*s7b + 
    43079400*s8a + 248472000*s8b + 32256000*s8c + 9072000*s8d - 
    64512000*li7half*sinf - 20160000*li6half*ln2*sinf - 
    2016000*li5half*ln2^2*sinf + 1600*ln2^7*sinf + 4176000*ln2*s6*sinf - 
    4176000*s7a*sinf + 8928000*s7b*sinf + 4032000*li5half*ln2*z2 + 
    3024000*li4half*ln2^2*z2 + 103600*ln2^6*z2 - 38808000*s6*z2 + 
    4032000*li5half*sinf*z2 - 33600*ln2^5*sinf*z2 + 2721600*li4half*z2^2 - 
    1289400*ln2^4*z2^2 - 772800*ln2^3*sinf*z2^2 - 6386400*ln2^2*z2^3 - 
    5112000*ln2*sinf*z2^3 - 14698656*z2^4 - 27720000*li5half*z3 - 
    8064000*li4half*ln2*z3 + 96600*ln2^5*z3 + 2520000*li4half*sinf*z3 + 
    357000*ln2^4*sinf*z3 - 2310000*ln2^3*z2*z3 - 2142000*ln2^2*sinf*z2*z3 - 
    33928200*ln2*z2^2*z3 - 4897800*sinf*z2^2*z3 - 11504250*ln2^2*z3^2 - 
    3676500*ln2*sinf*z3^2 - 31767750*z2*z3^2 - 7654500*ln2^3*z5 - 
    10993500*ln2^2*sinf*z5 - 108913500*ln2*z2*z5 - 28336500*sinf*z2*z5 + 
    2835000*z3*z5 + 55812375*ln2*z7 + 110756250*sinf*z7)/4032000, 
 H[1, -1, 1, 1, 1, 1, -1, 1, 1] -> 
  (-290304*li4half^2 + 161280*li6half*ln2^2 + 86016*li5half*ln2^3 + 
    322560*li7half*sinf + 322560*li6half*ln2*sinf + 
    129024*li5half*ln2^2*sinf + 32256*li4half*ln2^3*sinf + 640*ln2^7*sinf - 
    80640*ln2*s6*sinf + 80640*s7a*sinf + 80640*s7b*sinf - 161280*li6half*z2 - 
    258048*li5half*ln2*z2 - 129024*li5half*sinf*z2 - 
    96768*li4half*ln2*sinf*z2 - 5376*ln2^5*sinf*z2 + 13440*ln2^3*sinf*z2^2 + 
    14112*ln2*sinf*z2^3 + 451584*li5half*z3 + 169344*li4half*sinf*z3 + 
    11760*ln2^4*sinf*z3 - 70560*ln2^2*sinf*z2*z3 - 129024*sinf*z2^2*z3 + 
    100800*ln2*sinf*z3^2 - 236880*sinf*z2*z5 + 530145*sinf*z7)/64512, 
 H[1, -1, 1, 1, 1, 1, -1, 0, 1] -> (169344000*li4half^2 - 564480000*li8half - 
    56448000*li6half*ln2^2 - 56448000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    210000*ln2^8 + 29232000*ln2^2*s6 - 40976775*s8a - 343224000*s8b - 
    30240000*s8c - 40320000*s8d + 56448000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 84672000*li5half*ln2^2*sinf - 
    28224000*li4half*ln2^3*sinf - 638400*ln2^7*sinf + 42336000*ln2*s6*sinf - 
    14112000*s7a*sinf - 70560000*s7b*sinf + 56448000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 627200*ln2^6*z2 + 
    101808000*s6*z2 + 56448000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*
     z2 + 4233600*ln2^5*sinf*z2 + 13104000*li4half*z2^2 - 218400*ln2^4*z2^2 - 
    9878400*ln2^3*sinf*z2^2 - 1310400*ln2^2*z2^3 - 1058400*ln2*sinf*z2^3 + 
    49011336*z2^4 - 123984000*li5half*z3 - 2024400*ln2^5*z3 - 
    91728000*li4half*sinf*z3 - 7644000*ln2^4*sinf*z3 - 336000*ln2^3*z2*z3 + 
    33516000*ln2^2*sinf*z2*z3 + 49505400*ln2*z2^2*z3 + 
    68090400*sinf*z2^2*z3 + 504000*ln2^2*z3^2 - 25137000*ln2*sinf*z3^2 + 
    19152000*z2*z3^2 + 588000*ln2^3*z5 + 55566000*ln2^2*sinf*z5 + 
    88956000*ln2*z2*z5 + 208152000*sinf*z2*z5 - 14844375*z3*z5 - 
    567952875*sinf*z7)/56448000, H[1, -1, 1, 1, 1, 1, -1, -1, 1] -> 
  (-24192000*li8half - 8064000*li6half*ln2^2 - 2688000*li5half*ln2^3 + 
    12000*ln2^8 - 8064000*ln2^2*s6 + 11084850*s8a - 21168000*s8b + 
    12096000*s8c - 8064000*s8d - 16128000*li7half*sinf - 
    16128000*li6half*ln2*sinf - 4032000*li5half*ln2^2*sinf + 
    16000*ln2^7*sinf - 2016000*ln2*s6*sinf - 2016000*s7a*sinf + 
    2016000*s7b*sinf + 8064000*li6half*z2 + 8064000*li5half*ln2*z2 - 
    134400*ln2^6*z2 + 16128000*s6*z2 + 4032000*li5half*sinf*z2 - 
    134400*ln2^5*sinf*z2 - 1612800*li4half*z2^2 + 436800*ln2^4*z2^2 + 
    336000*ln2^3*sinf*z2^2 + 907200*ln2^2*z2^3 + 352800*ln2*sinf*z2^3 - 
    1835424*z2^4 + 2016000*li5half*z3 + 218400*ln2^5*z3 + 
    294000*ln2^4*sinf*z3 - 2184000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    14389200*ln2*z2^2*z3 - 1209600*sinf*z2^2*z3 + 819000*ln2^2*z3^2 + 
    2520000*ln2*sinf*z3^2 - 11277000*z2*z3^2 + 2604000*ln2^3*z5 - 
    40068000*ln2*z2*z5 - 5922000*sinf*z2*z5 + 37532250*z3*z5 + 
    80640000*ln2*z7 + 20687625*sinf*z7)/8064000, 
 H[1, -1, 1, 1, 1, 0, 1, 1, 1] -> (84672000*li4half^2 + 1975680000*li8half - 
    282240000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 137200*ln2^8 - 
    177408000*ln2^2*s6 + 597309300*s8a + 2209536000*s8b + 354816000*s8c + 
    68544000*s8d - 1128960000*li7half*sinf - 564480000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf - 
    11200*ln2^7*sinf + 104832000*ln2*s6*sinf - 104832000*s7a*sinf + 
    106848000*s7b*sinf + 282240000*li6half*z2 + 225792000*li5half*ln2*z2 - 
    1489600*ln2^6*z2 - 348768000*s6*z2 + 112896000*li5half*sinf*z2 + 
    28224000*li4half*ln2*sinf*z2 + 235200*ln2^5*sinf*z2 - 
    54028800*li4half*z2^2 + 7039200*ln2^4*z2^2 + 1176000*ln2^3*sinf*z2^2 + 
    28828800*ln2^2*z2^3 - 24847200*ln2*sinf*z2^3 - 171896112*z2^4 - 
    758016000*li5half*z3 + 4435200*ln2^5*z3 + 7056000*li4half*sinf*z3 - 
    2058000*ln2^4*sinf*z3 - 44352000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 - 392515200*ln2*z2^2*z3 - 
    12196800*sinf*z2^2*z3 - 49896000*ln2^2*z3^2 - 131040000*ln2*sinf*z3^2 - 
    333144000*z2*z3^2 - 112896000*ln2^3*z5 - 374409000*ln2^2*sinf*z5 - 
    725760000*ln2*z2*z5 - 151137000*sinf*z2*z5 + 361966500*z3*z5 + 
    1072551375*sinf*z7)/56448000, H[1, -1, 1, 1, 1, 0, 1, 0, 1] -> 
  (-1008000*li4half^2 - 26880000*li8half + 1344000*li6half*ln2^2 - 
    84000*li4half*ln2^4 - 550*ln2^8 + 2940000*ln2^2*s6 - 10514175*s8a - 
    44940000*s8b - 7392000*s8c - 672000*s8d + 10752000*li7half*sinf + 
    2688000*li6half*ln2*sinf + 1600*ln2^7*sinf - 1896000*ln2*s6*sinf + 
    384000*s7a*sinf - 960000*s7b*sinf - 5376000*li6half*z2 - 
    4032000*li5half*ln2*z2 - 168000*li4half*ln2^2*z2 + 9800*ln2^6*z2 + 
    4620000*s6*z2 - 1344000*li5half*sinf*z2 - 336000*li4half*ln2*sinf*z2 - 
    14000*ln2^5*sinf*z2 + 588000*li4half*z2^2 + 28700*ln2^4*z2^2 + 
    114800*ln2^3*sinf*z2^2 - 106400*ln2^2*z2^3 + 809600*ln2*sinf*z2^3 + 
    1819952*z2^4 + 11088000*li5half*z3 - 47600*ln2^5*z3 - 
    672000*li4half*sinf*z3 + 28000*ln2^4*sinf*z3 + 1036000*ln2^3*z2*z3 + 
    168000*ln2^2*sinf*z2*z3 + 7740600*ln2*z2^2*z3 + 595200*sinf*z2^2*z3 + 
    1281000*ln2^2*z3^2 + 963000*ln2*sinf*z3^2 + 7665000*z2*z3^2 + 
    1232000*ln2^3*z5 + 3150000*ln2^2*sinf*z5 + 22512000*ln2*z2*z5 + 
    2358000*sinf*z2*z5 - 6281625*z3*z5 - 13572000*sinf*z7)/672000, 
 H[1, -1, 1, 1, 1, 0, 1, -1, 1] -> (-2257920*li4half^2 - 424488960*li8half - 
    22579200*li7half*ln2 + 11289600*li6half*ln2^2 + 3010560*li5half*ln2^3 + 
    1223040*li4half*ln2^4 + 39424*ln2^8 + 35642880*ln2^2*s6 + 
    5483520*ln2*s7a + 2096640*ln2*s7b - 122703210*s8a - 758298240*s8b - 
    87897600*s8c - 52093440*s8d + 94832640*li7half*sinf + 
    22579200*li6half*ln2*sinf + 4515840*li5half*ln2^2*sinf + 
    1881600*li4half*ln2^3*sinf + 53312*ln2^7*sinf - 15805440*ln2*s6*sinf + 
    10160640*s7a*sinf - 10725120*s7b*sinf - 11289600*li6half*z2 - 
    22579200*li5half*ln2*z2 - 7338240*li4half*ln2^2*z2 - 382592*ln2^6*z2 + 
    177004800*s6*z2 - 4515840*li5half*sinf*z2 - 2257920*li4half*ln2*sinf*z2 - 
    366912*ln2^5*sinf*z2 - 12394368*li4half*z2^2 + 3573696*ln2^4*z2^2 + 
    3114048*ln2^3*sinf*z2^2 + 3237696*ln2^2*z2^3 + 9485280*ln2*sinf*z2^3 + 
    24401232*z2^4 + 129024000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    543648*ln2^5*z3 + 1975680*li4half*sinf*z3 + 11760*ln2^4*sinf*z3 + 
    7788480*ln2^3*z2*z3 - 70560*ln2^2*sinf*z2*z3 + 91835856*ln2*z2^2*z3 + 
    1989792*sinf*z2^2*z3 + 19409040*ln2^2*z3^2 + 13088880*ln2*sinf*z3^2 + 
    91113120*z2*z3^2 + 2328480*ln2^3*z5 + 18804240*ln2^2*sinf*z5 + 
    260497440*ln2*z2*z5 + 33586560*sinf*z2*z5 - 51282630*z3*z5 + 
    28521990*ln2*z7 - 138361545*sinf*z7)/2257920, 
 H[1, -1, 1, 1, 1, 0, 0, 1, 1] -> 
  (-84672000*li4half^2 + 112896000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 303800*ln2^8 - 93744000*ln2^2*s6 + 
    240426900*s8a + 2041200000*s8b + 201600000*s8c + 249984000*s8d + 
    225792000*li7half*sinf + 225792000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 201600*ln2^7*sinf + 18144000*ln2*s6*sinf - 
    4032000*s7a*sinf + 66528000*s7b*sinf + 225792000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 2626400*ln2^6*z2 - 
    746928000*s6*z2 - 169344000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*
     z2 + 62697600*li4half*z2^2 - 14204400*ln2^4*z2^2 - 
    5644800*ln2^3*sinf*z2^2 + 11356800*ln2^2*z2^3 - 5762400*ln2*sinf*z2^3 - 
    10074336*z2^4 - 302400000*li5half*z3 + 638400*ln2^5*z3 + 
    91728000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 - 25200000*ln2^3*z2*z3 - 
    37044000*ln2^2*sinf*z2*z3 - 155282400*ln2*z2^2*z3 - 
    26712000*sinf*z2^2*z3 - 34524000*ln2^2*z3^2 - 17388000*ln2*sinf*z3^2 - 
    279972000*z2*z3^2 + 27636000*ln2^3*z5 - 26901000*ln2^2*sinf*z5 - 
    687708000*ln2*z2*z5 - 240849000*sinf*z2*z5 + 264190500*z3*z5 + 
    425793375*sinf*z7)/56448000, H[1, -1, 1, 1, 1, 0, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    48384000*ln2^2*s6 - 87001425*s8a - 856296000*s8b - 54432000*s8c - 
    143136000*s8d + 4032000*ln2*s6*sinf + 38304000*s7a*sinf - 
    46368000*s7b*sinf + 112896000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1136800*ln2^6*z2 + 413280000*s6*z2 + 
    28224000*li5half*sinf*z2 - 235200*ln2^5*sinf*z2 - 45561600*li4half*z2^2 + 
    6686400*ln2^4*z2^2 + 3998400*ln2^3*sinf*z2^2 - 17388000*ln2^2*z2^3 - 
    2167200*ln2*sinf*z2^3 + 5716512*z2^4 + 138096000*li5half*z3 - 
    1150800*ln2^5*z3 - 21168000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 - 
    252000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 + 77149800*ln2*z2^2*z3 + 
    22680000*sinf*z2^2*z3 - 4693500*ln2^2*z3^2 + 23184000*ln2*sinf*z3^2 + 
    79852500*z2*z3^2 - 18816000*ln2^3*z5 + 53802000*ln2^2*sinf*z5 + 
    176085000*ln2*z2*z5 + 152523000*sinf*z2*z5 - 196284375*z3*z5 - 
    320268375*sinf*z7)/28224000, H[1, -1, 1, 1, 1, 0, 0, -1, 1] -> 
  (-45158400*li4half^2 - 22579200*li8half - 22579200*li7half*ln2 - 
    22579200*li6half*ln2^2 - 7526400*li5half*ln2^3 - 3763200*li4half*ln2^4 - 
    43120*ln2^8 - 36086400*ln2^2*s6 - 14515200*ln2*s7a - 39916800*ln2*s7b + 
    86996700*s8a + 303206400*s8b + 98380800*s8c - 30643200*s8d - 
    67737600*li7half*sinf - 45158400*li6half*ln2*sinf - 
    11289600*li5half*ln2^2*sinf + 44800*ln2^7*sinf - 18144000*ln2*s6*sinf + 
    15321600*s7a*sinf + 20966400*s7b*sinf + 56448000*li6half*z2 + 
    22579200*li5half*ln2*z2 + 19756800*li4half*ln2^2*z2 + 478240*ln2^6*z2 + 
    27417600*s6*z2 - 5644800*li4half*ln2*sinf*z2 - 517440*ln2^5*sinf*z2 + 
    3467520*li4half*z2^2 - 514080*ln2^4*z2^2 + 1646400*ln2^3*sinf*z2^2 + 
    7355040*ln2^2*z2^3 + 1747200*ln2*sinf*z2^3 + 29462736*z2^4 + 
    2016000*li5half*z3 - 55036800*li4half*ln2*z3 - 1933680*ln2^5*z3 + 
    25401600*li4half*sinf*z3 + 1528800*ln2^4*sinf*z3 + 8282400*ln2^3*z2*z3 - 
    11995200*ln2^2*sinf*z2*z3 - 30925440*ln2*z2^2*z3 - 
    13154400*sinf*z2^2*z3 - 36300600*ln2^2*z3^2 + 10508400*ln2*sinf*z3^2 - 
    80047800*z2*z3^2 + 26371800*ln2^3*z5 - 2822400*ln2^2*sinf*z5 - 
    182385000*ln2*z2*z5 - 64587600*sinf*z2*z5 - 18106200*z3*z5 - 
    305088525*ln2*z7 + 194638500*sinf*z7)/11289600, 
 H[1, -1, 1, 1, 1, 0, -1, 1, 1] -> 
  (169344000*li4half^2 + 6999552000*li8half + 112896000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 884800*ln2^8 - 
    633024000*ln2^2*s6 + 2432297700*s8a + 15831648000*s8b + 1661184000*s8c + 
    1443456000*s8d - 733824000*li7half*sinf + 395136000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    1422400*ln2^7*sinf + 443520000*ln2*s6*sinf - 175392000*s7a*sinf + 
    135072000*s7b*sinf - 112896000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 7840000*ln2^6*z2 - 4636800000*s6*z2 - 
    112896000*li5half*sinf*z2 + 9643200*ln2^5*sinf*z2 + 
    301392000*li4half*z2^2 - 90048000*ln2^4*z2^2 - 81144000*ln2^3*sinf*z2^2 - 
    39110400*ln2^2*z2^3 - 175946400*ln2*sinf*z2^3 - 432800208*z2^4 - 
    2858688000*li5half*z3 + 22411200*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    4116000*ln2^4*sinf*z3 - 224112000*ln2^3*z2*z3 + 
    24696000*ln2^2*sinf*z2*z3 - 1847563200*ln2*z2^2*z3 + 
    17967600*sinf*z2^2*z3 - 279909000*ln2^2*z3^2 - 313614000*ln2*sinf*z3^2 - 
    1794051000*z2*z3^2 - 23814000*ln2^3*z5 - 336483000*ln2^2*sinf*z5 - 
    4912110000*ln2*z2*z5 - 370755000*sinf*z2*z5 + 1659231000*z3*z5 + 
    1365154875*sinf*z7)/56448000, H[1, -1, 1, 1, 1, 0, -1, 0, 1] -> 
  (84672000*li4half^2 - 2257920000*li8half + 112896000*li6half*ln2^2 + 
    7056000*li4half*ln2^4 + 247800*ln2^8 + 412272000*ln2^2*s6 - 
    1102920525*s8a - 6730920000*s8b - 768096000*s8c - 614880000*s8d + 
    903168000*li7half*sinf + 225792000*li6half*ln2*sinf + 134400*ln2^7*sinf - 
    110880000*ln2*s6*sinf + 167328000*s7a*sinf - 284256000*s7b*sinf + 
    423360000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 2430400*ln2^6*z2 + 2139984000*s6*z2 + 
    112896000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 - 
    705600*ln2^5*sinf*z2 - 120153600*li4half*z2^2 + 17514000*ln2^4*z2^2 + 
    15288000*ln2^3*sinf*z2^2 - 97557600*ln2^2*z2^3 + 50181600*ln2*sinf*z2^3 + 
    64394976*z2^4 + 1201536000*li5half*z3 - 7190400*ln2^5*z3 - 
    141120000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 + 
    107184000*ln2^3*z2*z3 + 35280000*ln2^2*sinf*z2*z3 + 
    824657400*ln2*z2^2*z3 + 122824800*sinf*z2^2*z3 + 83979000*ln2^2*z3^2 + 
    161091000*ln2*sinf*z3^2 + 815535000*z2*z3^2 + 24108000*ln2^3*z5 + 
    473634000*ln2^2*sinf*z5 + 2303406000*ln2*z2*z5 + 836766000*sinf*z2*z5 - 
    1019363625*z3*z5 - 2465985375*sinf*z7)/56448000, 
 H[1, -1, 1, 1, 1, 0, -1, -1, 1] -> 
  (1749888000*li8half + 677376000*li7half*ln2 - 112896000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 7056000*li4half*ln2^4 + 85400*ln2^8 - 
    362880000*ln2^2*s6 + 4032000*ln2*s7a - 80640000*ln2*s7b + 577117800*s8a + 
    3682224000*s8b + 463680000*s8c + 213696000*s8d - 395136000*li7half*sinf - 
    395136000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf - 
    9408000*li4half*ln2^3*sinf + 78400*ln2^7*sinf - 92736000*ln2*s6*sinf - 
    34272000*s7a*sinf + 135072000*s7b*sinf + 197568000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 313600*ln2^6*z2 - 
    702576000*s6*z2 + 28224000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 470400*ln2^5*sinf*z2 + 51206400*li4half*z2^2 + 
    10659600*ln2^4*z2^2 + 6585600*ln2^3*sinf*z2^2 + 108964800*ln2^2*z2^3 + 
    34020000*ln2*sinf*z2^3 - 47379672*z2^4 - 575568000*li5half*z3 - 
    112896000*li4half*ln2*z3 - 1789200*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    2646000*ln2^4*sinf*z3 - 924000*ln2^3*z2*z3 + 15876000*ln2^2*sinf*z2*z3 - 
    377042400*ln2*z2^2*z3 - 29836800*sinf*z2^2*z3 - 72733500*ln2^2*z3^2 - 
    66213000*ln2*sinf*z3^2 - 454702500*z2*z3^2 + 78498000*ln2^3*z5 - 
    169344000*ln2^2*sinf*z5 - 1168272000*ln2*z2*z5 - 424116000*sinf*z2*z5 + 
    28759500*z3*z5 - 1677406500*ln2*z7 + 1060093125*sinf*z7)/56448000, 
 H[1, -1, 1, 1, 1, -1, 1, 1, 1] -> (63504000*li4half^2 + 395136000*li8half - 
    70560000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 34300*ln2^8 - 
    44352000*ln2^2*s6 + 149327325*s8a + 552384000*s8b + 88704000*s8c + 
    17136000*s8d - 225792000*li7half*sinf - 141120000*li6half*ln2*sinf - 
    42336000*li5half*ln2^2*sinf - 7056000*li4half*ln2^3*sinf - 
    95200*ln2^7*sinf + 29232000*ln2*s6*sinf - 29232000*s7a*sinf + 
    6048000*s7b*sinf + 70560000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    372400*ln2^6*z2 - 87192000*s6*z2 + 42336000*li5half*sinf*z2 + 
    21168000*li4half*ln2*sinf*z2 + 823200*ln2^5*sinf*z2 + 
    3427200*li4half*z2^2 + 1759800*ln2^4*z2^2 - 1764000*ln2^3*sinf*z2^2 + 
    7207200*ln2^2*z2^3 - 6199200*ln2*sinf*z2^3 - 42974028*z2^4 - 
    182448000*li5half*z3 + 1108800*ln2^5*z3 - 37044000*li4half*sinf*z3 - 
    2058000*ln2^4*sinf*z3 - 11088000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 - 98128800*ln2*z2^2*z3 + 
    16783200*sinf*z2^2*z3 - 12474000*ln2^2*z3^2 - 36540000*ln2*sinf*z3^2 - 
    83286000*z2*z3^2 - 28224000*ln2^3*z5 - 62401500*ln2^2*sinf*z5 - 
    181440000*ln2*z2*z5 + 9355500*sinf*z2*z5 + 90491625*z3*z5 + 
    101445750*sinf*z7)/14112000, H[1, -1, 1, 1, 1, -1, 1, 0, 1] -> 
  (-1580544000*li8half + 282240000*li6half*ln2^2 + 112896000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 294000*ln2^8 + 255024000*ln2^2*s6 - 
    597309300*s8a - 2209536000*s8b - 354816000*s8c - 68544000*s8d + 
    903168000*li7half*sinf + 564480000*li6half*ln2*sinf + 
    169344000*li5half*ln2^2*sinf + 28224000*li4half*ln2^3*sinf + 
    369600*ln2^7*sinf + 46368000*ln2*s6*sinf + 108864000*s7a*sinf - 
    187488000*s7b*sinf + 56448000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 
    862400*ln2^6*z2 + 412272000*s6*z2 - 56448000*li5half*sinf*z2 - 
    705600*ln2^5*sinf*z2 - 77212800*li4half*z2^2 - 14565600*ln2^4*z2^2 - 
    5174400*ln2^3*sinf*z2^2 - 24847200*ln2^2*z2^3 - 5191200*ln2*sinf*z2^3 + 
    153348912*z2^4 + 362880000*li5half*z3 - 1142400*ln2^5*z3 - 
    21168000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 + 52584000*ln2^3*z2*z3 + 
    15876000*ln2^2*sinf*z2*z3 + 360410400*ln2*z2^2*z3 + 
    82656000*sinf*z2^2*z3 + 17703000*ln2^2*z3^2 + 71694000*ln2*sinf*z3^2 + 
    355635000*z2*z3^2 - 8526000*ln2^3*z5 + 274302000*ln2^2*sinf*z5 + 
    638442000*ln2*z2*z5 + 459900000*sinf*z2*z5 - 406728000*z3*z5 - 
    1621990125*sinf*z7)/56448000, H[1, -1, 1, 1, 1, -1, 1, -1, 1] -> 
  (-20160000*li8half + 2822400*li6half*ln2^2 + 806400*li5half*ln2^3 - 
    3160*ln2^8 + 4334400*ln2^2*s6 - 8760150*s8a - 38505600*s8b - 
    6854400*s8c - 1008000*s8d + 10483200*li7half*sinf + 
    5644800*li6half*ln2*sinf + 1209600*li5half*ln2^2*sinf - 4160*ln2^7*sinf + 
    115200*ln2*s6*sinf + 1699200*s7a*sinf - 2131200*s7b*sinf - 
    2822400*li6half*z2 - 2419200*li5half*ln2*z2 + 34720*ln2^6*z2 + 
    5040000*s6*z2 - 1209600*li5half*sinf*z2 + 33600*ln2^5*sinf*z2 - 
    201600*li4half*z2^2 - 151200*ln2^4*z2^2 - 100800*ln2^3*sinf*z2^2 - 
    728640*ln2^2*z2^3 + 41760*ln2*sinf*z2^3 + 1222884*z2^4 + 
    6249600*li5half*z3 - 99120*ln2^5*z3 - 58800*ln2^4*sinf*z3 + 
    991200*ln2^3*z2*z3 + 352800*ln2^2*sinf*z2*z3 + 7784280*ln2*z2^2*z3 + 
    738720*sinf*z2^2*z3 + 270900*ln2^2*z3^2 + 738000*ln2*sinf*z3^2 + 
    7049700*z2*z3^2 + 441000*ln2^3*z5 + 3565800*ln2^2*sinf*z5 + 
    19240200*ln2*z2*z5 + 6525000*sinf*z2*z5 - 6961500*z3*z5 - 
    3225600*ln2*z7 - 19022625*sinf*z7)/806400, 
 H[1, -1, 1, 1, 1, -1, 0, 1, 1] -> 
  (-169344000*li4half^2 + 338688000*li8half - 28224000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 40600*ln2^8 - 
    129528000*ln2^2*s6 + 113472450*s8a + 1163232000*s8b + 124992000*s8c + 
    114912000*s8d - 225792000*li7half*sinf - 56448000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf + 14112000*li4half*ln2^3*sinf + 
    319200*ln2^7*sinf - 87696000*ln2*s6*sinf - 46368000*s7a*sinf + 
    151200000*s7b*sinf + 197568000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 117600*ln2^6*z2 - 212184000*s6*z2 - 
    84672000*li5half*sinf*z2 - 70560000*li4half*ln2*sinf*z2 - 
    3410400*ln2^5*sinf*z2 + 43444800*li4half*z2^2 + 4897200*ln2^4*z2^2 + 
    12818400*ln2^3*sinf*z2^2 + 9399600*ln2^2*z2^3 + 7912800*ln2*sinf*z2^3 - 
    14105088*z2^4 - 18144000*li5half*z3 + 739200*ln2^5*z3 + 
    91728000*li4half*sinf*z3 + 4557000*ln2^4*sinf*z3 - 15624000*ln2^3*z2*z3 - 
    39690000*ln2^2*sinf*z2*z3 - 108637200*ln2*z2^2*z3 - 
    82013400*sinf*z2^2*z3 + 6016500*ln2^2*z3^2 - 10773000*ln2*sinf*z3^2 - 
    211711500*z2*z3^2 + 48951000*ln2^3*z5 - 117967500*ln2^2*sinf*z5 - 
    634725000*ln2*z2*z5 - 499936500*sinf*z2*z5 + 116739000*z3*z5 + 
    1221467625*sinf*z7)/28224000, H[1, -1, 1, 1, 1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 451584000*li8half - 37632000*li5half*ln2^3 - 
    16464000*li4half*ln2^4 - 334600*ln2^8 + 157248000*ln2^2*s6 - 
    195202350*s8a - 2161152000*s8b - 229824000*s8c - 193536000*s8d + 
    225792000*li7half*sinf - 56448000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 358400*ln2^7*sinf - 16128000*ln2*s6*sinf + 
    100800000*s7a*sinf - 82656000*s7b*sinf - 338688000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 70560000*li4half*ln2^2*z2 - 823200*ln2^6*z2 + 
    415296000*s6*z2 - 56448000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 + 235200*ln2^5*sinf*z2 + 13507200*li4half*z2^2 + 
    12205200*ln2^4*z2^2 + 6820800*ln2^3*sinf*z2^2 - 26964000*ln2^2*z2^3 + 
    20613600*ln2*sinf*z2^3 - 13316976*z2^4 + 443520000*li5half*z3 - 
    5107200*ln2^5*z3 + 28224000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 
    12852000*ln2^3*z2*z3 - 19404000*ln2^2*sinf*z2*z3 + 
    297637200*ln2*z2^2*z3 + 13532400*sinf*z2^2*z3 + 10048500*ln2^2*z3^2 + 
    81459000*ln2*sinf*z3^2 + 312826500*z2*z3^2 - 35280000*ln2^3*z5 + 
    124803000*ln2^2*sinf*z5 + 1208088000*ln2*z2*z5 + 439047000*sinf*z2*z5 - 
    298257750*z3*z5 - 815495625*sinf*z7)/56448000, 
 H[1, -1, 1, 1, 1, -1, 0, -1, 1] -> 
  (-45158400*li4half^2 - 333043200*li8half - 16934400*li7half*ln2 + 
    28224000*li6half*ln2^2 + 11289600*li5half*ln2^3 - 235200*li4half*ln2^4 + 
    8820*ln2^8 + 26409600*ln2^2*s6 + 201600*ln2*s7a - 12499200*ln2*s7b - 
    55487250*s8a - 475372800*s8b - 33465600*s8c - 44150400*s8d + 
    118540800*li7half*sinf + 56448000*li6half*ln2*sinf + 
    16934400*li5half*ln2^2*sinf + 4704000*li4half*ln2^3*sinf + 
    109760*ln2^7*sinf - 9072000*ln2*s6*sinf + 28828800*s7a*sinf - 
    9273600*s7b*sinf - 11289600*li6half*z2 - 33868800*li5half*ln2*z2 - 
    121520*ln2^6*z2 + 124286400*s6*z2 - 22579200*li5half*sinf*z2 - 
    16934400*li4half*ln2*sinf*z2 - 987840*ln2^5*sinf*z2 - 
    1632960*li4half*z2^2 + 2072280*ln2^4*z2^2 + 3904320*ln2^3*sinf*z2^2 + 
    2671200*ln2^2*z2^3 + 7721280*ln2*sinf*z2^3 + 25131888*z2^4 + 
    154627200*li5half*z3 - 3528000*li4half*ln2*z3 - 894600*ln2^5*z3 + 
    22579200*li4half*sinf*z3 + 1617000*ln2^4*sinf*z3 + 7534800*ln2^3*z2*z3 - 
    10936800*ln2^2*sinf*z2*z3 + 61200720*ln2*z2^2*z3 - 7441560*sinf*z2^2*z3 + 
    481950*ln2^2*z3^2 + 27083700*ln2*sinf*z3^2 + 40512150*z2*z3^2 - 
    2043300*ln2^3*z5 + 15390900*ln2^2*sinf*z5 + 169262100*ln2*z2*z5 + 
    52334100*sinf*z2*z5 - 51836400*z3*z5 - 70000875*ln2*z7 - 
    141647625*sinf*z7)/5644800, H[1, -1, 1, 1, 1, -1, -1, 1, 1] -> 
  (-733824000*li8half + 28224000*li6half*ln2^2 + 30800*ln2^8 + 
    130032000*ln2^2*s6 - 452500650*s8a - 1922256000*s8b - 274176000*s8c - 
    191520000*s8d + 225792000*li7half*sinf + 56448000*li6half*ln2*sinf + 
    44800*ln2^7*sinf - 78624000*ln2*s6*sinf + 64512000*s7a*sinf - 
    90720000*s7b*sinf - 28224000*li6half*z2 - 392000*ln2^6*z2 + 
    622944000*s6*z2 - 470400*ln2^5*sinf*z2 - 38304000*li4half*z2^2 - 
    1008000*ln2^4*z2^2 - 61723200*ln2^2*z2^3 - 15405600*ln2*sinf*z2^3 + 
    102893016*z2^4 + 383040000*li5half*z3 - 1545600*ln2^5*z3 + 
    2058000*ln2^4*sinf*z3 + 15456000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 + 292017600*ln2*z2^2*z3 + 
    30139200*sinf*z2^2*z3 + 72954000*ln2^2*z3^2 + 92988000*ln2*sinf*z3^2 + 
    257670000*z2*z3^2 + 140238000*ln2^3*z5 + 304290000*ln2^2*sinf*z5 + 
    514710000*ln2*z2*z5 + 117432000*sinf*z2*z5 - 508740750*z3*z5 - 
    404578125*sinf*z7)/56448000, H[1, -1, 1, 1, 1, -1, -1, 0, 1] -> 
  (33868800*li4half^2 + 304819200*li8half - 50803200*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 35000*ln2^8 - 61891200*ln2^2*s6 + 
    102883725*s8a + 508536000*s8b + 72979200*s8c + 31449600*s8d - 
    169344000*li7half*sinf - 101606400*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf - 3763200*li4half*ln2^3*sinf - 
    29120*ln2^7*sinf - 11289600*ln2*s6*sinf - 39513600*s7a*sinf + 
    39513600*s7b*sinf + 16934400*li6half*z2 + 39513600*li5half*ln2*z2 - 
    258720*ln2^6*z2 - 123580800*s6*z2 + 22579200*li5half*sinf*z2 + 
    11289600*li4half*ln2*sinf*z2 + 329280*ln2^5*sinf*z2 + 
    6289920*li4half*z2^2 + 1002960*ln2^4*z2^2 - 846720*ln2^3*sinf*z2^2 + 
    11158560*ln2^2*z2^3 + 1391040*ln2*sinf*z2^3 - 28229976*z2^4 - 
    143337600*li5half*z3 + 1147440*ln2^5*z3 - 19756800*li4half*sinf*z3 - 
    882000*ln2^4*sinf*z3 - 7358400*ln2^3*z2*z3 + 7761600*ln2^2*sinf*z2*z3 - 
    83379240*ln2*z2^2*z3 - 2892960*sinf*z2^2*z3 - 3515400*ln2^2*z3^2 - 
    35897400*ln2*sinf*z3^2 - 60467400*z2*z3^2 + 14464800*ln2^3*z5 - 
    54860400*ln2^2*sinf*z5 - 155610000*ln2*z2*z5 - 112190400*sinf*z2*z5 + 
    91096425*z3*z5 + 293948550*sinf*z7)/11289600, 
 H[1, -1, 1, 1, 1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 + 677376000*li8half + 18816000*li5half*ln2^3 - 
    2800*ln2^8 - 171360000*ln2^2*s6 + 424875150*s8a + 2224656000*s8b + 
    342720000*s8c + 137088000*s8d - 169344000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    179200*ln2^7*sinf + 10080000*ln2*s6*sinf - 10080000*s7a*sinf + 
    159264000*s7b*sinf - 56448000*li5half*ln2*z2 + 78400*ln2^6*z2 - 
    514080000*s6*z2 - 28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 - 1411200*ln2^5*sinf*z2 + 27417600*li4half*z2^2 + 
    1730400*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 + 65553600*ln2^2*z2^3 + 
    27400800*ln2*sinf*z2^3 + 9007104*z2^4 - 175392000*li5half*z3 + 
    1461600*ln2^5*z3 + 49392000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 - 
    14616000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 - 
    305751600*ln2*z2^2*z3 - 67132800*sinf*z2^2*z3 - 104643000*ln2^2*z3^2 - 
    69048000*ln2*sinf*z3^2 - 311283000*z2*z3^2 - 131124000*ln2^3*z5 - 
    304290000*ln2^2*sinf*z5 - 832356000*ln2*z2*z5 - 417564000*sinf*z2*z5 + 
    131559750*z3*z5 - 384552000*ln2*z7 + 972066375*sinf*z7)/56448000, 
 H[1, -1, 1, 1, 0, 1, 1, 1, 1] -> (-63504000*li4half^2 - 296352000*li8half + 
    70560000*li6half*ln2^2 + 28224000*li5half*ln2^3 - 34300*ln2^8 + 
    44352000*ln2^2*s6 - 149327325*s8a - 552384000*s8b - 88704000*s8c - 
    17136000*s8d + 211680000*li7half*sinf + 141120000*li6half*ln2*sinf + 
    42336000*li5half*ln2^2*sinf + 7056000*li4half*ln2^3*sinf + 
    95200*ln2^7*sinf - 29232000*ln2*s6*sinf + 29232000*s7a*sinf - 
    6048000*s7b*sinf - 70560000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    372400*ln2^6*z2 + 87192000*s6*z2 - 42336000*li5half*sinf*z2 - 
    21168000*li4half*ln2*sinf*z2 - 823200*ln2^5*sinf*z2 - 
    20361600*li4half*z2^2 - 1759800*ln2^4*z2^2 + 2704800*ln2^3*sinf*z2^2 - 
    7207200*ln2^2*z2^3 + 3376800*ln2*sinf*z2^3 + 42974028*z2^4 + 
    182448000*li5half*z3 - 1108800*ln2^5*z3 + 37044000*li4half*sinf*z3 + 
    2058000*ln2^4*sinf*z3 + 11088000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 + 98128800*ln2*z2^2*z3 - 
    11844000*sinf*z2^2*z3 + 12474000*ln2^2*z3^2 + 36540000*ln2*sinf*z3^2 + 
    83286000*z2*z3^2 + 18816000*ln2^3*z5 + 62401500*ln2^2*sinf*z5 + 
    209664000*ln2*z2*z5 - 9355500*sinf*z2*z5 - 139883625*z3*z5 - 
    101445750*sinf*z7)/14112000, H[1, -1, 1, 1, 0, 1, 1, 0, 1] -> 
  (50803200*li4half^2 + 4233600*li4half*ln2^4 + 88200*ln2^8 + 
    14313600*ln2^2*s6 + 20229300*s8a - 65116800*s8b + 13708800*s8c - 
    47577600*s8d + 28627200*ln2*s6*sinf + 13708800*s7a*sinf - 
    39916800*s7b*sinf + 112896000*li6half*z2 + 101606400*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 - 337120*ln2^6*z2 + 133257600*s6*z2 + 
    33868800*li5half*sinf*z2 + 16934400*li4half*ln2*sinf*z2 + 
    423360*ln2^5*sinf*z2 - 5281920*li4half*z2^2 - 102480*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 - 7822080*ln2^2*z2^3 - 7791840*ln2*sinf*z2^3 - 
    10548648*z2^4 - 14918400*li5half*z3 + 124320*ln2^5*z3 - 
    33868800*li4half*sinf*z3 - 1411200*ln2^4*sinf*z3 - 1831200*ln2^3*z2*z3 + 
    8114400*ln2^2*sinf*z2*z3 - 14706720*ln2*z2^2*z3 + 18637920*sinf*z2^2*z3 - 
    9821700*ln2^2*z3^2 + 1348200*ln2*sinf*z3^2 - 13853700*z2*z3^2 - 
    16934400*ln2^3*z5 + 26548200*ln2^2*sinf*z5 - 91929600*ln2*z2*z5 + 
    110464200*sinf*z2*z5 - 6596100*z3*z5 - 227737125*sinf*z7)/11289600, 
 H[1, -1, 1, 1, 0, 1, 1, -1, 1] -> (-12096000*li4half^2 + 967680000*li8half + 
    36288000*li7half*ln2 - 20160000*li6half*ln2^2 - 2688000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 - 114800*ln2^8 - 99144000*ln2^2*s6 - 
    17280000*ln2*s7a - 23328000*ln2*s7b + 349640550*s8a + 2140992000*s8b + 
    247968000*s8c + 175392000*s8d - 217728000*li7half*sinf - 
    40320000*li6half*ln2*sinf - 4032000*li5half*ln2^2*sinf - 
    3360000*li4half*ln2^3*sinf - 119200*ln2^7*sinf + 41040000*ln2*s6*sinf - 
    25920000*s7a*sinf + 30528000*s7b*sinf + 20160000*li6half*z2 + 
    8064000*li5half*ln2*z2 + 12096000*li4half*ln2^2*z2 + 1148000*ln2^6*z2 - 
    570024000*s6*z2 + 4032000*li5half*sinf*z2 + 10080000*li4half*ln2*sinf*
     z2 + 1327200*ln2^5*sinf*z2 + 45964800*li4half*z2^2 - 
    10214400*ln2^4*z2^2 - 9340800*ln2^3*sinf*z2^2 - 39600*ln2^2*z2^3 - 
    23220000*ln2*sinf*z2^3 - 61015212*z2^4 - 364896000*li5half*z3 - 
    58968000*li4half*ln2*z3 + 583800*ln2^5*z3 - 2520000*li4half*sinf*z3 - 
    105000*ln2^4*sinf*z3 - 15666000*ln2^3*z2*z3 + 3276000*ln2^2*sinf*z2*z3 - 
    245671200*ln2*z2^2*z3 - 8096400*sinf*z2^2*z3 - 58533750*ln2^2*z3^2 - 
    36526500*ln2*sinf*z3^2 - 262631250*z2*z3^2 + 6342000*ln2^3*z5 - 
    53959500*ln2^2*sinf*z5 - 676638000*ln2*z2*z5 - 92164500*sinf*z2*z5 + 
    257260500*z3*z5 - 158797125*ln2*z7 + 353772000*sinf*z7)/4032000, 
 H[1, -1, 1, 1, 0, 1, 0, 1, 1] -> (63504000*li4half^2 + 564480000*li8half - 
    84672000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 5292000*li4half*ln2^4 + 
    163450*ln2^8 - 52668000*ln2^2*s6 + 184388400*s8a + 867636000*s8b + 
    94752000*s8c + 74592000*s8d - 338688000*li7half*sinf - 
    169344000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf + 
    67200*ln2^7*sinf + 41832000*ln2*s6*sinf - 52416000*s7a*sinf + 
    25200000*s7b*sinf + 112896000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    10584000*li4half*ln2^2*z2 - 950600*ln2^6*z2 - 217980000*s6*z2 + 
    56448000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*z2 + 
    1058400*ln2^5*sinf*z2 - 28476000*li4half*z2^2 + 371700*ln2^4*z2^2 - 
    5174400*ln2^3*sinf*z2^2 + 10130400*ln2^2*z2^3 - 14011200*ln2*sinf*z2^3 - 
    63907236*z2^4 - 304416000*li5half*z3 + 2536800*ln2^5*z3 - 
    26460000*li4half*sinf*z3 - 1102500*ln2^4*sinf*z3 - 11844000*ln2^3*z2*z3 + 
    26901000*ln2^2*sinf*z2*z3 - 153505800*ln2*z2^2*z3 + 
    2324700*sinf*z2^2*z3 - 8804250*ln2^2*z3^2 - 56479500*ln2*sinf*z3^2 - 
    88373250*z2*z3^2 - 29914500*ln2^3*z5 - 120062250*ln2^2*sinf*z5 - 
    194512500*ln2*z2*z5 - 36650250*sinf*z2*z5 + 186787125*z3*z5 + 
    268506000*sinf*z7)/14112000, H[1, -1, 1, 1, 0, 1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    10080000*ln2^2*s6 - 23540475*s8a + 112392000*s8b - 12768000*s8c + 
    40992000*s8d - 15456000*ln2*s6*sinf - 17472000*s7a*sinf + 
    24864000*s7b*sinf - 112896000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 901600*ln2^6*z2 - 119616000*s6*z2 - 
    18816000*li5half*sinf*z2 + 156800*ln2^5*sinf*z2 - 20025600*li4half*z2^2 - 
    3539200*ln2^4*z2^2 + 313600*ln2^3*sinf*z2^2 + 8041600*ln2^2*z2^3 - 
    1388800*ln2*sinf*z2^3 + 18103104*z2^4 - 2016000*li5half*z3 + 
    16800*ln2^5*z3 + 21168000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 + 
    7672000*ln2^3*z2*z3 - 588000*ln2^2*sinf*z2*z3 + 571200*ln2*z2^2*z3 - 
    10059000*sinf*z2^2*z3 + 12453000*ln2^2*z3^2 - 525000*ln2*sinf*z3^2 + 
    8400000*z2*z3^2 + 17248000*ln2^3*z5 - 15141000*ln2^2*sinf*z5 + 
    2656500*ln2*z2*z5 - 94867500*sinf*z2*z5 + 10925250*z3*z5 + 
    187404000*sinf*z7)/9408000, H[1, -1, 1, 1, 0, 1, 0, -1, 1] -> 
  (1016064000*li4half^2 - 2032128000*li8half + 225792000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    84672000*li4half*ln2^4 + 1512000*ln2^8 - 227808000*ln2^2*s6 + 
    699552000*ln2*s7a + 516096000*ln2*s7b - 597348675*s8a - 1604232000*s8b - 
    901152000*s8c + 774144000*s8d + 1580544000*li7half*sinf + 
    677376000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf - 
    313600*ln2^7*sinf + 108864000*ln2*s6*sinf - 66528000*s7a*sinf - 
    334656000*s7b*sinf - 282240000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    465696000*li4half*ln2^2*z2 - 16346400*ln2^6*z2 - 1484784000*s6*z2 - 
    56448000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    5880000*ln2^5*sinf*z2 - 450576000*li4half*z2^2 + 33734400*ln2^4*z2^2 - 
    9172800*ln2^3*sinf*z2^2 + 320644800*ln2^2*z2^3 + 53323200*ln2*sinf*z2^3 - 
    163561968*z2^4 - 1223712000*li5half*z3 + 1488816000*li4half*ln2*z3 + 
    65646000*ln2^5*z3 - 183456000*li4half*sinf*z3 - 15876000*ln2^4*sinf*z3 - 
    381276000*ln2^3*z2*z3 + 135828000*ln2^2*sinf*z2*z3 - 
    452957400*ln2*z2^2*z3 + 178945200*sinf*z2^2*z3 + 1038649500*ln2^2*z3^2 - 
    8190000*ln2*sinf*z3^2 + 609934500*z2*z3^2 + 151557000*ln2^3*z5 + 
    220500000*ln2^2*sinf*z5 + 1271655000*ln2*z2*z5 + 1020537000*sinf*z2*z5 + 
    1907175375*z3*z5 + 3485427750*ln2*z7 - 3414285000*sinf*z7)/56448000, 
 H[1, -1, 1, 1, 0, 1, -1, 1, 1] -> (63504000*li4half^2 - 3189312000*li8half + 
    14112000*li6half*ln2^2 - 32928000*li5half*ln2^3 + 2646000*li4half*ln2^4 + 
    214900*ln2^8 + 448812000*ln2^2*s6 - 1273853700*s8a - 8032248000*s8b - 
    887040000*s8c - 764064000*s8d + 613872000*li7half*sinf - 
    21168000*li6half*ln2*sinf - 49392000*li5half*ln2^2*sinf - 
    3528000*li4half*ln2^3*sinf + 113400*ln2^7*sinf - 136080000*ln2*s6*sinf + 
    141372000*s7a*sinf - 188496000*s7b*sinf - 14112000*li6half*z2 + 
    98784000*li5half*ln2*z2 + 15876000*li4half*ln2^2*z2 - 1666000*ln2^6*z2 + 
    2348388000*s6*z2 + 49392000*li5half*sinf*z2 + 10584000*li4half*ln2*sinf*
     z2 - 1969800*ln2^5*sinf*z2 - 171334800*li4half*z2^2 + 
    26649000*ln2^4*z2^2 + 26842200*ln2^3*sinf*z2^2 - 46053000*ln2^2*z2^3 + 
    56284200*ln2*sinf*z2^3 + 213391728*z2^4 + 1355256000*li5half*z3 - 
    11911200*ln2^5*z3 - 18522000*li4half*sinf*z3 - 1543500*ln2^4*sinf*z3 + 
    119112000*ln2^3*z2*z3 + 986227200*ln2*z2^2*z3 + 59131800*sinf*z2^2*z3 + 
    115038000*ln2^2*z3^2 + 172415250*ln2*sinf*z3^2 + 990738000*z2*z3^2 + 
    4263000*ln2^3*z5 + 325954125*ln2^2*sinf*z5 + 2648331000*ln2*z2*z5 + 
    557620875*sinf*z2*z5 - 1175249250*z3*z5 - 1564534125*sinf*z7)/7056000, 
 H[1, -1, 1, 1, 0, 1, -1, 0, 1] -> 
  (-118540800*li4half^2 + 2709504000*li8half - 135475200*li6half*ln2^2 - 
    4233600*li4half*ln2^4 - 91560*ln2^8 - 482025600*ln2^2*s6 + 
    1133585775*s8a + 7132305600*s8b + 822931200*s8c + 650361600*s8d - 
    1083801600*li7half*sinf - 270950400*li6half*ln2*sinf + 
    7526400*li4half*ln2^3*sinf + 152320*ln2^7*sinf + 106041600*ln2*s6*sinf - 
    247161600*s7a*sinf + 314496000*s7b*sinf - 129830400*li6half*z2 - 
    101606400*li5half*ln2*z2 + 36691200*li4half*ln2^2*z2 + 1724800*ln2^6*z2 - 
    2083939200*s6*z2 - 33868800*li5half*sinf*z2 - 16934400*li4half*ln2*sinf*
     z2 - 1176000*ln2^5*sinf*z2 + 153780480*li4half*z2^2 - 
    15125040*ln2^4*z2^2 - 15099840*ln2^3*sinf*z2^2 + 86335200*ln2^2*z2^3 - 
    50158080*ln2*sinf*z2^3 - 135326808*z2^4 - 1190649600*li5half*z3 + 
    9922080*ln2^5*z3 + 28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 - 
    106864800*ln2^3*z2*z3 - 11642400*ln2^2*sinf*z2*z3 - 
    894773880*ln2*z2^2*z3 - 92499120*sinf*z2^2*z3 - 82208700*ln2^2*z3^2 - 
    241920000*ln2*sinf*z3^2 - 889427700*z2*z3^2 + 15111600*ln2^3*z5 - 
    521438400*ln2^2*sinf*z5 - 2535561000*ln2*z2*z5 - 971195400*sinf*z2*z5 + 
    1049118525*z3*z5 + 2641681350*sinf*z7)/11289600, 
 H[1, -1, 1, 1, 0, 1, -1, -1, 1] -> 
  (338688000*li4half^2 + 12700800000*li8half - 846720000*li7half*ln2 - 
    112896000*li6half*ln2^2 + 188160000*li5half*ln2^3 + 
    35280000*li4half*ln2^4 - 359800*ln2^8 - 1515024000*ln2^2*s6 + 
    30240000*ln2*s7a + 580608000*ln2*s7b + 4486283550*s8a + 29087856000*s8b + 
    2927232000*s8c + 2957472000*s8d - 3048192000*li7half*sinf + 
    169344000*li6half*ln2*sinf + 282240000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf - 1120000*ln2^7*sinf + 780192000*ln2*s6*sinf - 
    780192000*s7a*sinf + 772128000*s7b*sinf - 84672000*li6half*z2 - 
    395136000*li5half*ln2*z2 - 338688000*li4half*ln2^2*z2 - 
    1724800*ln2^6*z2 - 8857296000*s6*z2 - 112896000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 + 11760000*ln2^5*sinf*z2 + 
    405216000*li4half*z2^2 - 109830000*ln2^4*z2^2 - 
    127478400*ln2^3*sinf*z2^2 + 127814400*ln2^2*z2^3 - 
    297007200*ln2*sinf*z2^3 - 936001152*z2^4 - 5477472000*li5half*z3 + 
    783216000*li4half*ln2*z3 + 78279600*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    2352000*ln2^4*sinf*z3 - 652260000*ln2^3*z2*z3 + 
    51156000*ln2^2*sinf*z2*z3 - 3949545600*ln2*z2^2*z3 - 
    187236000*sinf*z2^2*z3 - 271750500*ln2^2*z3^2 - 891891000*ln2*sinf*z3^2 - 
    3388108500*z2*z3^2 - 585501000*ln2^3*z5 - 1582308000*ln2^2*sinf*z5 - 
    10388448000*ln2*z2*z5 - 2279151000*sinf*z2*z5 + 4465944000*z3*z5 + 
    4366089000*ln2*z7 + 6578515125*sinf*z7)/56448000, 
 H[1, -1, 1, 1, 0, 0, 1, 1, 1] -> (169344000*li4half^2 - 564480000*li8half - 
    37632000*li5half*ln2^3 + 5600*ln2^8 + 51408000*ln2^2*s6 - 183725325*s8a - 
    654696000*s8b - 102816000*s8c - 66528000*s8d + 225792000*li7half*sinf - 
    56448000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    358400*ln2^7*sinf + 12096000*ln2*s6*sinf - 12096000*s7a*sinf - 
    82656000*s7b*sinf + 112896000*li5half*ln2*z2 - 156800*ln2^6*z2 + 
    217728000*s6*z2 + 56448000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*
     z2 + 2822400*ln2^5*sinf*z2 + 37497600*li4half*z2^2 + 
    1092000*ln2^4*z2^2 - 8467200*ln2^3*sinf*z2^2 - 25754400*ln2^2*z2^3 - 
    1058400*ln2*sinf*z2^3 + 39495168*z2^4 + 161280000*li5half*z3 - 
    1344000*ln2^5*z3 - 155232000*li4half*sinf*z3 - 6468000*ln2^4*sinf*z3 + 
    13440000*ln2^3*z2*z3 + 38808000*ln2^2*sinf*z2*z3 + 
    106155000*ln2*z2^2*z3 + 85150800*sinf*z2^2*z3 + 14679000*ln2^2*z3^2 - 
    14679000*ln2*sinf*z3^2 + 107982000*z2*z3^2 + 36750000*ln2^3*z5 + 
    123480000*ln2^2*sinf*z5 + 198198000*ln2*z2*z5 + 189882000*sinf*z2*z5 - 
    275711625*z3*z5 - 679888125*sinf*z7)/56448000, 
 H[1, -1, 1, 1, 0, 0, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    12096000*ln2^2*s6 + 77611275*s8a + 60312000*s8b + 38304000*s8c - 
    10080000*s8d + 14112000*s7a*sinf + 9408000*s7b*sinf - 
    28224000*li5half*ln2*z2 - 4704000*li4half*ln2^2*z2 + 39200*ln2^6*z2 + 
    13104000*s6*z2 - 9408000*li5half*sinf*z2 - 9408000*li4half*ln2*sinf*z2 - 
    313600*ln2^5*sinf*z2 + 32323200*li4half*z2^2 + 523600*ln2^4*z2^2 - 
    313600*ln2^3*sinf*z2^2 + 6832000*ln2^2*z2^3 + 10052000*ln2*sinf*z2^3 - 
    14911856*z2^4 - 24528000*li5half*z3 + 204400*ln2^5*z3 + 
    37632000*li4half*sinf*z3 + 1568000*ln2^4*sinf*z3 - 5964000*ln2^3*z2*z3 - 
    11760000*ln2^2*sinf*z2*z3 - 39992400*ln2*z2^2*z3 - 
    30429000*sinf*z2^2*z3 - 7297500*ln2^2*z3^2 + 13818000*ln2*sinf*z3^2 - 
    42840000*z2*z3^2 - 14112000*ln2^3*z5 - 16611000*ln2^2*sinf*z5 - 
    45013500*ln2*z2*z5 + 2866500*sinf*z2*z5 + 156670500*z3*z5 + 
    52828125*sinf*z7)/9408000, H[1, -1, 1, 1, 0, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 + 1016064000*li8half + 338688000*li7half*ln2 + 
    37632000*li5half*ln2^3 + 11760000*li4half*ln2^4 + 183400*ln2^8 + 
    220752000*ln2^2*s6 - 38304000*ln2*s7a + 74592000*ln2*s7b - 
    417905775*s8a - 2867256000*s8b - 421344000*s8c - 383040000*s8d + 
    112896000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 291200*ln2^7*sinf - 90720000*ln2*s6*sinf + 
    34272000*s7a*sinf - 8064000*s7b*sinf + 225792000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 4508000*ln2^6*z2 + 1196496000*s6*z2 - 
    56448000*li5half*sinf*z2 - 141120000*li4half*ln2*sinf*z2 - 
    4939200*ln2^5*sinf*z2 - 22982400*li4half*z2^2 + 32264400*ln2^4*z2^2 + 
    39513600*ln2^3*sinf*z2^2 - 88804800*ln2^2*z2^3 + 39009600*ln2*sinf*z2^3 - 
    115610904*z2^4 + 737856000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    1680000*ln2^5*z3 + 84672000*li4half*sinf*z3 + 7644000*ln2^4*sinf*z3 + 
    26796000*ln2^3*z2*z3 - 35280000*ln2^2*sinf*z2*z3 + 
    314659800*ln2*z2^2*z3 - 64537200*sinf*z2^2*z3 + 68040000*ln2^2*z3^2 + 
    156177000*ln2*sinf*z3^2 + 414351000*z2*z3^2 - 200802000*ln2^3*z5 - 
    96138000*ln2^2*sinf*z5 + 1354059000*ln2*z2*z5 + 162162000*sinf*z2*z5 - 
    1104082875*z3*z5 - 142450875*ln2*z7 - 188291250*sinf*z7)/56448000, 
 H[1, -1, 1, 1, 0, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    1344000*ln2^2*s6 - 55014225*s8a - 122472000*s8b - 26208000*s8c - 
    2016000*s8d - 23520000*ln2*s6*sinf + 9408000*s7b*sinf + 
    4704000*li4half*ln2^2*z2 + 196000*ln2^6*z2 + 53424000*s6*z2 - 
    18816000*li5half*sinf*z2 - 18816000*li4half*ln2*sinf*z2 - 
    627200*ln2^5*sinf*z2 + 6652800*li4half*z2^2 + 1335600*ln2^4*z2^2 + 
    3763200*ln2^3*sinf*z2^2 - 9514400*ln2^2*z2^3 - 2699200*ln2*sinf*z2^3 + 
    6090704*z2^4 + 79296000*li5half*z3 - 660800*ln2^5*z3 + 
    2352000*li4half*sinf*z3 + 98000*ln2^4*sinf*z3 + 3472000*ln2^3*z2*z3 - 
    5292000*ln2^2*sinf*z2*z3 + 40399800*ln2*z2^2*z3 + 470400*sinf*z2^2*z3 + 
    7287000*ln2^2*z3^2 + 7203000*ln2*sinf*z3^2 + 8263500*z2*z3^2 + 
    18522000*ln2^3*z5 + 18669000*ln2^2*sinf*z5 + 23058000*ln2*z2*z5 - 
    33516000*sinf*z2*z5 - 94450125*z3*z5 + 82908000*sinf*z7)/9408000, 
 H[1, -1, 1, 1, 0, 0, 0, 0, 1] -> (4032000*li4half^2 + 336000*li4half*ln2^4 + 
    7000*ln2^8 + 1008000*ln2^2*s6 + 107100*s8a + 7056000*s8b + 
    2016000*ln2*s6*sinf - 2016000*s7b*sinf - 2016000*li4half*ln2^2*z2 - 
    84000*ln2^6*z2 - 4032000*s6*z2 + 252000*ln2^4*z2^2 - 1029600*ln2^2*z2^3 - 
    1152000*ln2*sinf*z2^3 - 195984*z2^4 - 4032000*li5half*z3 + 
    33600*ln2^5*z3 - 3024000*li4half*sinf*z3 - 126000*ln2^4*sinf*z3 - 
    336000*ln2^3*z2*z3 + 756000*ln2^2*sinf*z2*z3 + 365400*ln2*z2^2*z3 + 
    2583000*sinf*z2^2*z3 - 756000*ln2^2*z3^2 - 1512000*ln2*sinf*z3^2 + 
    2803500*z2*z3^2 - 672000*ln2^3*z5 + 945000*ln2^2*sinf*z5 + 
    4756500*ln2*z2*z5 + 7906500*sinf*z2*z5 - 7819875*z3*z5 - 
    14112000*sinf*z7)/2016000, H[1, -1, 1, 1, 0, 0, 0, -1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    276192000*ln2^2*s6 - 108864000*ln2*s7a - 38304000*ln2*s7b - 
    456772050*s8a - 2164176000*s8b - 264096000*s8c - 286272000*s8d - 
    38304000*ln2*s6*sinf + 108864000*s7a*sinf - 74592000*s7b*sinf + 
    56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 847728000*s6*z2 - 
    28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 + 28828800*li4half*z2^2 - 2856000*ln2^4*z2^2 + 
    6350400*ln2^3*sinf*z2^2 - 152896800*ln2^2*z2^3 - 41193600*ln2*sinf*z2^3 + 
    34897332*z2^4 + 692496000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    14002800*ln2^5*z3 - 7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 + 
    102396000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 + 
    490946400*ln2*z2^2*z3 + 36527400*sinf*z2^2*z3 - 134442000*ln2^2*z3^2 + 
    65079000*ln2*sinf*z3^2 + 324308250*z2*z3^2 - 51009000*ln2^3*z5 + 
    203742000*ln2^2*sinf*z5 + 850563000*ln2*z2*z5 + 232123500*sinf*z2*z5 - 
    1122258375*z3*z5 - 180321750*ln2*z7 - 293753250*sinf*z7)/28224000, 
 H[1, -1, 1, 1, 0, 0, -1, 1, 1] -> 
  (-254016000*li4half^2 + 451584000*li8half + 112896000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 7056000*li4half*ln2^4 + 1400*ln2^8 - 
    489888000*ln2^2*s6 + 942407550*s8a + 6529824000*s8b + 782208000*s8c + 
    770112000*s8d - 338688000*li7half*sinf + 112896000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    537600*ln2^7*sinf + 122976000*ln2*s6*sinf - 193536000*s7a*sinf + 
    215712000*s7b*sinf - 112896000*li6half*z2 - 451584000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 2312800*ln2^6*z2 - 2217600000*s6*z2 - 
    56448000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 - 
    2116800*ln2^5*sinf*z2 + 175190400*li4half*z2^2 - 22453200*ln2^4*z2^2 - 
    27048000*ln2^3*sinf*z2^2 + 155988000*ln2^2*z2^3 - 
    34927200*ln2*sinf*z2^3 + 38848248*z2^4 - 975744000*li5half*z3 + 
    11424000*ln2^5*z3 + 7056000*li4half*sinf*z3 + 4410000*ln2^4*sinf*z3 - 
    119532000*ln2^3*z2*z3 - 37044000*ln2^2*sinf*z2*z3 - 
    779940000*ln2*z2^2*z3 - 36792000*sinf*z2^2*z3 - 45391500*ln2^2*z3^2 - 
    206640000*ln2*sinf*z3^2 - 953788500*z2*z3^2 + 90846000*ln2^3*z5 - 
    260190000*ln2^2*sinf*z5 - 2657529000*ln2*z2*z5 - 782712000*sinf*z2*z5 + 
    1556005500*z3*z5 + 1594868625*sinf*z7)/56448000, 
 H[1, -1, 1, 1, 0, 0, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    5040000*ln2^2*s6 + 70334775*s8a + 115584000*s8b + 33600000*s8c - 
    5376000*s8d + 18144000*ln2*s6*sinf + 5376000*s7a*sinf - 
    8736000*s7b*sinf + 28224000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    4704000*li4half*ln2^2*z2 - 23352000*s6*z2 + 9408000*li5half*sinf*z2 + 
    9408000*li4half*ln2*sinf*z2 + 313600*ln2^5*sinf*z2 + 
    17505600*li4half*z2^2 - 1681400*ln2^4*z2^2 - 3214400*ln2^3*sinf*z2^2 + 
    8103200*ln2^2*z2^3 + 3707200*ln2*sinf*z2^3 - 16140916*z2^4 - 
    76272000*li5half*z3 + 635600*ln2^5*z3 - 4704000*li4half*sinf*z3 - 
    196000*ln2^4*sinf*z3 - 2436000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 - 
    40521600*ln2*z2^2*z3 - 5573400*sinf*z2^2*z3 - 12442500*ln2^2*z3^2 - 
    8715000*ln2*sinf*z3^2 - 17886750*z2*z3^2 - 16268000*ln2^3*z5 - 
    10731000*ln2^2*sinf*z5 - 52216500*ln2*z2*z5 + 50431500*sinf*z2*z5 + 
    110255250*z3*z5 - 82183500*sinf*z7)/9408000, 
 H[1, -1, 1, 1, 0, 0, -1, -1, 1] -> 
  (-48384000*li4half^2 - 161280000*li8half - 80640000*li7half*ln2 - 
    16128000*li6half*ln2^2 - 5376000*li5half*ln2^3 - 6048000*li4half*ln2^4 - 
    133600*ln2^8 + 58752000*ln2^2*s6 - 38592000*ln2*s7a - 40608000*ln2*s7b - 
    45230850*s8a - 415296000*s8b - 4032000*s8c - 84672000*s8d - 
    32256000*li7half*sinf - 16128000*li6half*ln2*sinf - 
    8064000*li5half*ln2^2*sinf - 2688000*li4half*ln2^3*sinf - 
    60800*ln2^7*sinf - 2592000*ln2*s6*sinf + 20736000*s7a*sinf - 
    7488000*s7b*sinf + 8064000*li6half*z2 + 24192000*li5half*ln2*z2 + 
    36288000*li4half*ln2^2*z2 + 1489600*ln2^6*z2 + 204624000*s6*z2 + 
    16128000*li5half*sinf*z2 + 8064000*li4half*ln2*sinf*z2 + 
    403200*ln2^5*sinf*z2 + 9072000*li4half*z2^2 - 4578000*ln2^4*z2^2 - 
    1680000*ln2^3*sinf*z2^2 - 27151200*ln2^2*z2^3 - 4737600*ln2*sinf*z2^3 + 
    27300384*z2^4 + 118944000*li5half*z3 - 106848000*li4half*ln2*z3 - 
    5443200*ln2^5*z3 + 5040000*li4half*sinf*z3 + 210000*ln2^4*sinf*z3 + 
    36624000*ln2^3*z2*z3 - 1260000*ln2^2*sinf*z2*z3 + 84981600*ln2*z2^2*z3 - 
    518400*sinf*z2^2*z3 - 61060500*ln2^2*z3^2 + 12564000*ln2*sinf*z3^2 + 
    31437000*z2*z3^2 + 1995000*ln2^3*z5 + 27405000*ln2^2*sinf*z5 + 
    121554000*ln2*z2*z5 + 13050000*sinf*z2*z5 - 124692750*z3*z5 - 
    186546375*ln2*z7 + 2589750*sinf*z7)/8064000, 
 H[1, -1, 1, 1, 0, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 + 7338240000*li8half - 127008000*li6half*ln2^2 + 
    23520000*li5half*ln2^3 - 10584000*li4half*ln2^4 - 484400*ln2^8 - 
    1142064000*ln2^2*s6 + 2859006150*s8a + 18161136000*s8b + 2072448000*s8c + 
    1653120000*s8d - 1806336000*li7half*sinf - 254016000*li6half*ln2*sinf + 
    14112000*li5half*ln2^2*sinf - 4704000*li4half*ln2^3*sinf - 
    308000*ln2^7*sinf + 252000000*ln2*s6*sinf - 463680000*s7a*sinf + 
    552384000*s7b*sinf + 127008000*li6half*z2 - 70560000*li5half*ln2*z2 + 
    3802400*ln2^6*z2 - 5063184000*s6*z2 - 14112000*li5half*sinf*z2 + 
    14112000*li4half*ln2*sinf*z2 + 4351200*ln2^5*sinf*z2 + 
    377193600*li4half*z2^2 - 49963200*ln2^4*z2^2 - 56683200*ln2^3*sinf*z2^2 + 
    127411200*ln2^2*z2^3 - 96868800*ln2*sinf*z2^3 - 450557496*z2^4 - 
    3182760000*li5half*z3 + 26523000*ln2^5*z3 - 24696000*li4half*sinf*z3 - 
    1029000*ln2^4*sinf*z3 - 265230000*ln2^3*z2*z3 + 
    24696000*ln2^2*sinf*z2*z3 - 2268567000*ln2*z2^2*z3 - 
    135349200*sinf*z2^2*z3 - 251748000*ln2^2*z3^2 - 500220000*ln2*sinf*z3^2 - 
    2298744000*z2*z3^2 + 64900500*ln2^3*z5 - 917721000*ln2^2*sinf*z5 - 
    6412045500*ln2*z2*z5 - 1720971000*sinf*z2*z5 + 2616933375*z3*z5 + 
    4451532750*sinf*z7)/28224000, H[1, -1, 1, 1, 0, -1, 1, 0, 1] -> 
  (483840*li4half^2 - 77414400*li8half + 3870720*li6half*ln2^2 - 
    120960*li4half*ln2^4 - 2424*ln2^8 + 14071680*ln2^2*s6 - 31668525*s8a - 
    203595840*s8b - 23627520*s8c - 18466560*s8d + 30965760*li7half*sinf + 
    7741440*li6half*ln2*sinf - 215040*li4half*ln2^3*sinf - 4352*ln2^7*sinf - 
    3363840*ln2*s6*sinf + 7879680*s7a*sinf - 8651520*s7b*sinf + 
    967680*li6half*z2 - 967680*li5half*ln2*z2 - 1532160*li4half*ln2^2*z2 - 
    40992*ln2^6*z2 + 58705920*s6*z2 - 483840*li5half*sinf*z2 - 
    483840*li4half*ln2*sinf*z2 + 5376*ln2^5*sinf*z2 - 3161088*li4half*z2^2 + 
    500304*ln2^4*z2^2 + 525504*ln2^3*sinf*z2^2 - 2832768*ln2^2*z2^3 + 
    1413792*ln2*sinf*z2^3 + 3800592*z2^4 + 37537920*li5half*z3 - 
    312816*ln2^5*z3 + 1128960*li4half*sinf*z3 + 47040*ln2^4*sinf*z3 + 
    2909760*ln2^3*z2*z3 - 413280*ln2^2*sinf*z2*z3 + 25990776*ln2*z2^2*z3 + 
    1509552*sinf*z2^2*z3 + 2492280*ln2^2*z3^2 + 8188920*ln2*sinf*z3^2 + 
    24912720*z2*z3^2 - 609840*ln2^3*z5 + 15099840*ln2^2*sinf*z5 + 
    74912040*ln2*z2*z5 + 27344160*sinf*z2*z5 - 29337525*z3*z5 - 
    70680915*sinf*z7)/322560, H[1, -1, 1, 1, 0, -1, 1, -1, 1] -> 
  (-1947456000*li8half - 52416000*li7half*ln2 + 18144000*li6half*ln2^2 - 
    8736000*li5half*ln2^3 + 1512000*li4half*ln2^4 + 123100*ln2^8 + 
    279432000*ln2^2*s6 - 8784000*ln2*s7a + 4320000*ln2*s7b - 751454550*s8a - 
    4708368000*s8b - 526176000*s8c - 438480000*s8d + 399168000*li7half*sinf + 
    36288000*li6half*ln2*sinf - 10080000*li5half*ln2^2*sinf + 
    2016000*li4half*ln2^3*sinf + 139200*ln2^7*sinf - 71712000*ln2*s6*sinf + 
    86832000*s7a*sinf - 113760000*s7b*sinf - 18144000*li6half*z2 + 
    26208000*li5half*ln2*z2 + 9072000*li4half*ln2^2*z2 - 971600*ln2^6*z2 + 
    1351728000*s6*z2 + 10080000*li5half*sinf*z2 - 6048000*li4half*ln2*sinf*
     z2 - 1780800*ln2^5*sinf*z2 - 86184000*li4half*z2^2 + 
    15057000*ln2^4*z2^2 + 16027200*ln2^3*sinf*z2^2 - 34938000*ln2^2*z2^3 + 
    28720800*ln2*sinf*z2^3 + 127859832*z2^4 + 838656000*li5half*z3 - 
    7560000*li4half*ln2*z3 - 6951000*ln2^5*z3 + 3024000*li4half*sinf*z3 + 
    567000*ln2^4*sinf*z3 + 68250000*ln2^3*z2*z3 - 8694000*ln2^2*sinf*z2*z3 + 
    584380800*ln2*z2^2*z3 + 29014200*sinf*z2^2*z3 + 64809000*ln2^2*z3^2 + 
    112131000*ln2*sinf*z3^2 + 576450000*z2*z3^2 - 13503000*ln2^3*z5 + 
    197505000*ln2^2*sinf*z5 + 1567854000*ln2*z2*z5 + 337257000*sinf*z2*z5 - 
    679281750*z3*z5 + 61223625*ln2*z7 - 935764875*sinf*z7)/4032000, 
 H[1, -1, 1, 1, 0, -1, 0, 1, 1] -> (-50803200*li4half^2 + 451584000*li8half - 
    67737600*li6half*ln2^2 - 15052800*li5half*ln2^3 - 4233600*li4half*ln2^4 - 
    45640*ln2^8 - 59875200*ln2^2*s6 + 141565725*s8a + 804283200*s8b + 
    68947200*s8c + 94752000*s8d - 270950400*li7half*sinf - 
    135475200*li6half*ln2*sinf - 22579200*li5half*ln2^2*sinf + 
    53760*ln2^7*sinf - 11289600*ln2*s6*sinf - 39513600*s7a*sinf + 
    62092800*s7b*sinf + 304819200*li6half*z2 + 79027200*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 152812800*s6*z2 - 
    56448000*li5half*sinf*z2 - 33868800*li4half*ln2*sinf*z2 - 
    1128960*ln2^5*sinf*z2 + 40965120*li4half*z2^2 + 3106320*ln2^4*z2^2 + 
    3904320*ln2^3*sinf*z2^2 - 14878080*ln2^2*z2^3 - 14434560*ln2*sinf*z2^3 - 
    96565608*z2^4 - 131644800*li5half*z3 + 1097040*ln2^5*z3 + 
    21168000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 - 8618400*ln2^3*z2*z3 - 
    1764000*ln2^2*sinf*z2*z3 - 84740040*ln2*z2^2*z3 - 25754400*sinf*z2^2*z3 + 
    270900*ln2^2*z3^2 - 29458800*ln2*sinf*z3^2 - 126900900*z2*z3^2 + 
    3880800*ln2^3*z5 - 92610000*ln2^2*sinf*z5 - 169268400*ln2*z2*z5 - 
    110779200*sinf*z2*z5 + 100347975*z3*z5 + 536101650*sinf*z7)/11289600, 
 H[1, -1, 1, 1, 0, -1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    11088000*ln2^2*s6 - 26380725*s8a + 145152000*s8b - 1344000*s8c + 
    29568000*s8d + 672000*ln2*s6*sinf - 24192000*s7a*sinf + 
    8736000*s7b*sinf - 112896000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 274400*ln2^6*z2 - 127344000*s6*z2 - 
    18816000*li5half*sinf*z2 + 156800*ln2^5*sinf*z2 - 29366400*li4half*z2^2 - 
    576800*ln2^4*z2^2 + 78400*ln2^3*sinf*z2^2 + 4608800*ln2^2*z2^3 - 
    8187200*ln2*sinf*z2^3 + 26937864*z2^4 - 42672000*li5half*z3 + 
    355600*ln2^5*z3 - 21168000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 
    2324000*ln2^3*z2*z3 + 8820000*ln2^2*sinf*z2*z3 - 4716600*ln2*z2^2*z3 + 
    17274600*sinf*z2^2*z3 + 5260500*ln2^2*z3^2 - 20097000*ln2*sinf*z3^2 + 
    22837500*z2*z3^2 + 13132000*ln2^3*z5 - 12201000*ln2^2*sinf*z5 + 
    10059000*ln2*z2*z5 - 31248000*sinf*z2*z5 - 36742125*z3*z5 + 
    46499250*sinf*z7)/9408000, H[1, -1, 1, 1, 0, -1, 0, -1, 1] -> 
  (169344000*li4half^2 - 1016064000*li8half + 112896000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 168000*ln2^8 + 273168000*ln2^2*s6 + 
    122976000*ln2*s7a + 137088000*ln2*s7b - 753930450*s8a - 3359664000*s8b - 
    665280000*s8c - 54432000*s8d + 790272000*li7half*sinf + 
    338688000*li6half*ln2*sinf + 56448000*li5half*ln2^2*sinf - 
    156800*ln2^7*sinf - 18144000*ln2*s6*sinf + 145152000*s7a*sinf - 
    207648000*s7b*sinf + 127008000*li6half*z2 - 70560000*li5half*ln2*z2 - 
    105840000*li4half*ln2^2*z2 - 2861600*ln2^6*z2 + 521640000*s6*z2 - 
    155232000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*z2 + 
    470400*ln2^5*sinf*z2 - 46872000*li4half*z2^2 + 11130000*ln2^4*z2^2 + 
    5292000*ln2^3*sinf*z2^2 - 83512800*ln2^2*z2^3 - 17740800*ln2*sinf*z2^3 - 
    71342352*z2^4 + 408744000*li5half*z3 + 299880000*li4half*ln2*z3 + 
    5796000*ln2^5*z3 - 49392000*li4half*sinf*z3 - 6174000*ln2^4*sinf*z3 - 
    5040000*ln2^3*z2*z3 + 41454000*ln2^2*sinf*z2*z3 + 483991200*ln2*z2^2*z3 + 
    91009800*sinf*z2^2*z3 + 194575500*ln2^2*z3^2 + 76041000*ln2*sinf*z3^2 + 
    619022250*z2*z3^2 - 23373000*ln2^3*z5 + 327222000*ln2^2*sinf*z5 + 
    1683328500*ln2*z2*z5 + 736312500*sinf*z2*z5 - 619345125*z3*z5 + 
    966183750*ln2*z7 - 1742398875*sinf*z7)/28224000, 
 H[1, -1, 1, 1, 0, -1, -1, 1, 1] -> 
  (-338688000*li4half^2 + 12136320000*li8half - 254016000*li6half*ln2^2 + 
    103488000*li5half*ln2^3 + 7056000*li4half*ln2^4 - 32200*ln2^8 - 
    1858752000*ln2^2*s6 + 5058062100*s8a + 30992976000*s8b + 3463488000*s8c + 
    3028032000*s8d - 2032128000*li7half*sinf + 197568000*li5half*ln2^2*sinf + 
    47040000*li4half*ln2^3*sinf + 716800*ln2^7*sinf + 465696000*ln2*s6*sinf - 
    508032000*s7a*sinf + 663264000*s7b*sinf + 254016000*li6half*z2 - 
    395136000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 + 2077600*ln2^6*z2 - 
    9174816000*s6*z2 - 197568000*li5half*sinf*z2 - 
    56448000*li4half*ln2*sinf*z2 + 2587200*ln2^5*sinf*z2 + 
    702979200*li4half*z2^2 - 63966000*ln2^4*z2^2 - 67972800*ln2^3*sinf*z2^2 + 
    260114400*ln2^2*z2^3 - 150141600*ln2*sinf*z2^3 - 919688184*z2^4 - 
    5343408000*li5half*z3 + 44528400*ln2^5*z3 + 77616000*li4half*sinf*z3 + 
    3234000*ln2^4*sinf*z3 - 445284000*ln2^3*z2*z3 + 
    17640000*ln2^2*sinf*z2*z3 - 3838892400*ln2*z2^2*z3 - 
    204976800*sinf*z2^2*z3 - 439425000*ln2^2*z3^2 - 619164000*ln2*sinf*z3^2 - 
    3889305000*z2*z3^2 - 175371000*ln2^3*z5 - 1336230000*ln2^2*sinf*z5 - 
    9987390000*ln2*z2*z5 - 1783404000*sinf*z2*z5 + 4939467750*z3*z5 + 
    5086879875*sinf*z7)/56448000, H[1, -1, 1, 1, 0, -1, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    11256000*ln2^2*s6 + 26939325*s8a + 141792000*s8b + 29568000*s8c - 
    1344000*s8d + 8736000*ln2*s6*sinf - 1680000*s7a*sinf + 672000*s7b*sinf - 
    42336000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 294000*ln2^6*z2 - 25536000*s6*z2 + 
    14112000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 + 
    470400*ln2^5*sinf*z2 - 16497600*li4half*z2^2 - 2892400*ln2^4*z2^2 - 
    2548000*ln2^3*sinf*z2^2 + 16648800*ln2^2*z2^3 + 1545600*ln2*sinf*z2^3 + 
    20132712*z2^4 - 39648000*li5half*z3 + 330400*ln2^5*z3 - 
    3528000*li4half*sinf*z3 - 147000*ln2^4*sinf*z3 - 3794000*ln2^3*z2*z3 + 
    588000*ln2^2*sinf*z2*z3 - 32327400*ln2*z2^2*z3 - 399000*sinf*z2^2*z3 - 
    5444250*ln2^2*z3^2 - 4672500*ln2*sinf*z3^2 - 21771750*z2*z3^2 - 
    1960000*ln2^3*z5 - 5218500*ln2^2*sinf*z5 - 167496000*ln2*z2*z5 - 
    20496000*sinf*z2*z5 + 42511875*z3*z5 + 13403250*sinf*z7)/9408000, 
 H[1, -1, 1, 1, 0, -1, -1, -1, 1] -> 
  (42336000*li4half^2 + 451584000*li8half + 536256000*li7half*ln2 + 
    127008000*li6half*ln2^2 - 14112000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 168700*ln2^8 - 73080000*ln2^2*s6 + 
    129024000*ln2*s7a - 124992000*ln2*s7b + 9546075*s8a + 406224000*s8b - 
    6048000*s8c + 62496000*s8d + 197568000*li7half*sinf - 
    42336000*li5half*ln2^2*sinf - 14112000*li4half*ln2^3*sinf - 
    274400*ln2^7*sinf - 59472000*ln2*s6*sinf + 59472000*s7a*sinf - 
    74592000*s7b*sinf + 28224000*li5half*ln2*z2 + 509600*ln2^6*z2 - 
    153216000*s6*z2 - 14112000*li5half*sinf*z2 + 940800*ln2^5*sinf*z2 + 
    6148800*li4half*z2^2 + 1373400*ln2^4*z2^2 + 705600*ln2^3*sinf*z2^2 - 
    3502800*ln2^2*z2^3 - 957600*ln2*sinf*z2^3 - 43066728*z2^4 - 
    89712000*li5half*z3 + 45864000*li4half*ln2*z3 + 1835400*ln2^5*z3 - 
    17640000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 - 10710000*ln2^3*z2*z3 + 
    10584000*ln2^2*sinf*z2*z3 + 19252800*ln2*z2^2*z3 + 
    31764600*sinf*z2^2*z3 + 131481000*ln2^2*z3^2 + 52731000*ln2*sinf*z3^2 + 
    567000*z2*z3^2 + 315535500*ln2^3*z5 + 203301000*ln2^2*sinf*z5 + 
    321583500*ln2*z2*z5 + 225067500*sinf*z2*z5 - 78435000*z3*z5 - 
    936054000*ln2*z7 - 533712375*sinf*z7)/28224000, 
 H[1, -1, 1, 1, -1, 1, 1, 1, 1] -> 
  (-84672000*li4half^2 - 1580544000*li8half + 282240000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 - 137200*ln2^8 + 177408000*ln2^2*s6 - 
    597309300*s8a - 2209536000*s8b - 354816000*s8c - 68544000*s8d + 
    1072512000*li7half*sinf + 564480000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    11200*ln2^7*sinf - 104832000*ln2*s6*sinf + 104832000*s7a*sinf - 
    106848000*s7b*sinf - 282240000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    1489600*ln2^6*z2 + 348768000*s6*z2 - 112896000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 235200*ln2^5*sinf*z2 - 
    13708800*li4half*z2^2 - 7039200*ln2^4*z2^2 - 1176000*ln2^3*sinf*z2^2 - 
    28828800*ln2^2*z2^3 + 24847200*ln2*sinf*z2^3 + 171896112*z2^4 + 
    532224000*li5half*z3 - 4435200*ln2^5*z3 + 49392000*li4half*sinf*z3 + 
    2058000*ln2^4*sinf*z3 + 44352000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 + 392515200*ln2*z2^2*z3 + 
    12196800*sinf*z2^2*z3 + 49896000*ln2^2*z3^2 + 131040000*ln2*sinf*z3^2 + 
    333144000*z2*z3^2 + 112896000*ln2^3*z5 + 374409000*ln2^2*sinf*z5 + 
    725760000*ln2*z2*z5 + 151137000*sinf*z2*z5 - 361966500*z3*z5 - 
    1072551375*sinf*z7)/56448000, H[1, -1, 1, 1, -1, 1, 1, 0, 1] -> 
  (-169344000*li4half^2 + 1016064000*li8half - 254016000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 288400*ln2^8 - 
    320544000*ln2^2*s6 + 702602775*s8a + 2998296000*s8b + 429408000*s8c + 
    290304000*s8d - 846720000*li7half*sinf - 508032000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf + 
    11200*ln2^7*sinf - 66528000*ln2*s6*sinf - 145152000*s7a*sinf + 
    306432000*s7b*sinf - 254016000*li6half*z2 - 282240000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1046304000*s6*z2 - 56448000*li5half*sinf*z2 - 
    56448000*li4half*ln2*sinf*z2 - 2116800*ln2^5*sinf*z2 + 
    121564800*li4half*z2^2 + 8416800*ln2^4*z2^2 + 8937600*ln2^3*sinf*z2^2 + 
    103672800*ln2^2*z2^3 + 37800000*ln2*sinf*z2^3 - 116137296*z2^4 - 
    425376000*li5half*z3 + 3780000*ln2^5*z3 + 119952000*li4half*sinf*z3 + 
    5292000*ln2^4*sinf*z3 - 58380000*ln2^3*z2*z3 - 
    44100000*ln2^2*sinf*z2*z3 - 459862200*ln2*z2^2*z3 - 
    154954800*sinf*z2^2*z3 - 17608500*ln2^2*z3^2 - 95886000*ln2*sinf*z3^2 - 
    440023500*z2*z3^2 - 8526000*ln2^3*z5 - 450261000*ln2^2*sinf*z5 - 
    754614000*ln2*z2*z5 - 732123000*sinf*z2*z5 + 945385875*z3*z5 + 
    2197235250*sinf*z7)/56448000, H[1, -1, 1, 1, -1, 1, 1, -1, 1] -> 
  (1524096000*li8half - 254016000*li6half*ln2^2 - 56448000*li5half*ln2^3 + 
    165200*ln2^8 - 350784000*ln2^2*s6 + 623260575*s8a + 3113208000*s8b + 
    489888000*s8c + 145152000*s8d - 1016064000*li7half*sinf - 
    508032000*li6half*ln2*sinf - 84672000*li5half*ln2^2*sinf + 
    212800*ln2^7*sinf - 30240000*ln2*s6*sinf - 181440000*s7a*sinf + 
    241920000*s7b*sinf + 254016000*li6half*z2 + 169344000*li5half*ln2*z2 - 
    1803200*ln2^6*z2 - 501984000*s6*z2 + 84672000*li5half*sinf*z2 - 
    1646400*ln2^5*sinf*z2 + 29030400*li4half*z2^2 + 8853600*ln2^4*z2^2 + 
    5880000*ln2^3*sinf*z2^2 + 63957600*ln2^2*z2^3 - 1209600*ln2*sinf*z2^3 - 
    96458328*z2^4 - 586656000*li5half*z3 + 6535200*ln2^5*z3 + 
    2058000*ln2^4*sinf*z3 - 65352000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 - 548112600*ln2*z2^2*z3 - 
    75726000*sinf*z2^2*z3 - 18396000*ln2^2*z3^2 - 125811000*ln2*sinf*z3^2 - 
    523089000*z2*z3^2 + 23814000*ln2^3*z5 - 374409000*ln2^2*sinf*z5 - 
    1541106000*ln2*z2*z5 - 759591000*sinf*z2*z5 + 569905875*z3*z5 + 
    169344000*ln2*z7 + 2083914000*sinf*z7)/56448000, 
 H[1, -1, 1, 1, -1, 1, 0, 1, 1] -> (169344000*li4half^2 + 790272000*li8half - 
    169344000*li6half*ln2^2 - 47040000*li5half*ln2^3 + 
    10584000*li4half*ln2^4 + 323400*ln2^8 - 99288000*ln2^2*s6 + 
    298654650*s8a + 1104768000*s8b + 177408000*s8c + 34272000*s8d - 
    592704000*li7half*sinf - 338688000*li6half*ln2*sinf - 
    70560000*li5half*ln2^2*sinf - 4704000*li4half*ln2^3*sinf + 
    39200*ln2^7*sinf + 69552000*ln2*s6*sinf - 90720000*s7a*sinf + 
    36288000*s7b*sinf + 169344000*li6half*z2 + 141120000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 2077600*ln2^6*z2 - 163800000*s6*z2 + 
    155232000*li5half*sinf*z2 + 98784000*li4half*ln2*sinf*z2 + 
    2469600*ln2^5*sinf*z2 - 54532800*li4half*z2^2 + 3754800*ln2^4*z2^2 - 
    9525600*ln2^3*sinf*z2^2 + 28652400*ln2^2*z2^3 - 10483200*ln2*sinf*z2^3 - 
    79900056*z2^4 - 484848000*li5half*z3 + 3805200*ln2^5*z3 - 
    77616000*li4half*sinf*z3 - 3528000*ln2^4*sinf*z3 - 21588000*ln2^3*z2*z3 + 
    45864000*ln2^2*sinf*z2*z3 - 254646000*ln2*z2^2*z3 + 
    14616000*sinf*z2^2*z3 - 19435500*ln2^2*z3^2 - 102375000*ln2*sinf*z3^2 - 
    128866500*z2*z3^2 - 51303000*ln2^3*z5 - 199993500*ln2^2*sinf*z5 - 
    378315000*ln2*z2*z5 - 69331500*sinf*z2*z5 + 279436500*z3*z5 + 
    390875625*sinf*z7)/28224000, H[1, -1, 1, 1, -1, 1, 0, 0, 1] -> 
  (84672000*li4half^2 - 1016064000*li8half + 169344000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 43400*ln2^8 + 
    264096000*ln2^2*s6 - 702602775*s8a - 2998296000*s8b - 429408000*s8c - 
    290304000*s8d + 677376000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 134400*ln2^7*sinf - 18144000*ln2*s6*sinf + 
    116928000*s7a*sinf - 221760000*s7b*sinf + 169344000*li6half*z2 + 
    310464000*li5half*ln2*z2 + 127008000*li4half*ln2^2*z2 + 
    3253600*ln2^6*z2 + 1130976000*s6*z2 + 84672000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 3292800*ln2^5*sinf*z2 - 
    87696000*li4half*z2^2 - 14355600*ln2^4*z2^2 - 9643200*ln2^3*sinf*z2^2 - 
    65318400*ln2^2*z2^3 - 13104000*ln2*sinf*z2^3 + 108589896*z2^4 + 
    488880000*li5half*z3 - 5485200*ln2^5*z3 - 42336000*li4half*sinf*z3 - 
    3528000*ln2^4*sinf*z3 + 78372000*ln2^3*z2*z3 + 
    35280000*ln2^2*sinf*z2*z3 + 434813400*ln2*z2^2*z3 + 
    61992000*sinf*z2^2*z3 + 49360500*ln2^2*z3^2 + 124110000*ln2*sinf*z3^2 + 
    351382500*z2*z3^2 + 46746000*ln2^3*z5 + 398223000*ln2^2*sinf*z5 + 
    494424000*ln2*z2*z5 + 374031000*sinf*z2*z5 - 658515375*z3*z5 - 
    1340482500*sinf*z7)/56448000, H[1, -1, 1, 1, -1, 1, 0, -1, 1] -> 
  (677376000*li4half^2 - 1524096000*li8half - 169344000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 206976000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 368200*ln2^8 - 51408000*ln2^2*s6 + 
    169344000*ln2*s7a + 42336000*ln2*s7b - 623260575*s8a - 3113208000*s8b - 
    489888000*s8c - 145152000*s8d - 338688000*li7half*sinf - 
    677376000*li6half*ln2*sinf - 310464000*li5half*ln2^2*sinf - 
    65856000*li4half*ln2^3*sinf - 1030400*ln2^7*sinf - 96768000*ln2*s6*sinf - 
    157248000*s7a*sinf - 241920000*s7b*sinf + 338688000*li6half*z2 + 
    620928000*li5half*ln2*z2 - 2391200*ln2^6*z2 + 734832000*s6*z2 + 
    395136000*li5half*sinf*z2 + 282240000*li4half*ln2*sinf*z2 + 
    11524800*ln2^5*sinf*z2 - 244944000*li4half*z2^2 + 11197200*ln2^4*z2^2 - 
    22108800*ln2^3*sinf*z2^2 + 93441600*ln2^2*z2^3 - 705600*ln2*sinf*z2^3 - 
    2897712*z2^4 - 902160000*li5half*z3 + 105840000*li4half*ln2*z3 + 
    5812800*ln2^5*z3 - 282240000*li4half*sinf*z3 - 19404000*ln2^4*sinf*z3 - 
    24024000*ln2^3*z2*z3 + 141120000*ln2^2*sinf*z2*z3 + 
    90707400*ln2*z2^2*z3 + 183506400*sinf*z2^2*z3 + 368329500*ln2^2*z3^2 - 
    21042000*ln2*sinf*z3^2 + 428053500*z2*z3^2 + 371469000*ln2^3*z5 + 
    454671000*ln2^2*sinf*z5 + 603981000*ln2*z2*z5 + 304920000*sinf*z2*z5 + 
    904026375*z3*z5 + 906420375*ln2*z7 - 1083726000*sinf*z7)/56448000, 
 H[1, -1, 1, 1, -1, 1, -1, 1, 1] -> 
  (211680000*li8half - 21168000*li6half*ln2^2 - 21700*ln2^8 - 
    41580000*ln2^2*s6 + 171799425*s8a + 597240000*s8b + 93744000*s8c + 
    65016000*s8d - 127008000*li7half*sinf - 42336000*li6half*ln2*sinf - 
    30800*ln2^7*sinf + 42336000*ln2*s6*sinf - 31752000*s7a*sinf + 
    42336000*s7b*sinf + 21168000*li6half*z2 + 254800*ln2^6*z2 - 
    214704000*s6*z2 + 294000*ln2^5*sinf*z2 + 13003200*li4half*z2^2 - 
    193200*ln2^4*z2^2 - 294000*ln2^3*sinf*z2^2 + 25628400*ln2^2*z2^3 + 
    6879600*ln2*sinf*z2^3 - 44323002*z2^4 - 130032000*li5half*z3 + 
    260400*ln2^5*z3 - 1029000*ln2^4*sinf*z3 - 2604000*ln2^3*z2*z3 + 
    6174000*ln2^2*sinf*z2*z3 - 98500500*ln2*z2^2*z3 - 13318200*sinf*z2^2*z3 - 
    30271500*ln2^2*z3^2 - 45643500*ln2*sinf*z3^2 - 82656000*z2*z3^2 - 
    55566000*ln2^3*z5 - 155121750*ln2^2*sinf*z5 - 114534000*ln2*z2*z5 - 
    43328250*sinf*z2*z5 + 196646625*z3*z5 + 187866000*sinf*z7)/14112000, 
 H[1, -1, 1, 1, -1, 1, -1, 0, 1] -> 
  (-959616000*li8half + 225792000*li6half*ln2^2 + 56448000*li5half*ln2^3 - 
    180600*ln2^8 + 298368000*ln2^2*s6 - 697247775*s8a - 2806776000*s8b - 
    385056000*s8c - 334656000*s8d + 790272000*li7half*sinf + 
    451584000*li6half*ln2*sinf + 84672000*li5half*ln2^2*sinf - 
    235200*ln2^7*sinf + 22176000*ln2*s6*sinf + 189504000*s7a*sinf - 
    262080000*s7b*sinf + 112896000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    431200*ln2^6*z2 + 1262016000*s6*z2 + 1176000*ln2^5*sinf*z2 - 
    66931200*li4half*z2^2 + 1503600*ln2^4*z2^2 + 470400*ln2^3*sinf*z2^2 - 
    118440000*ln2^2*z2^3 - 30038400*ln2*sinf*z2^3 + 187435296*z2^4 + 
    690480000*li5half*z3 - 7635600*ln2^5*z3 - 2352000*ln2^4*sinf*z3 + 
    35196000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 + 
    459484200*ln2*z2^2*z3 + 77112000*sinf*z2^2*z3 + 29893500*ln2^2*z3^2 + 
    188370000*ln2*sinf*z3^2 + 259465500*z2*z3^2 + 8526000*ln2^3*z5 + 
    450261000*ln2^2*sinf*z5 + 252441000*ln2*z2*z5 + 478800000*sinf*z2*z5 - 
    895096125*z3*z5 - 1507763250*sinf*z7)/56448000, 
 H[1, -1, 1, 1, -1, 1, -1, -1, 1] -> 
  (254016000*li4half^2 - 677376000*li8half - 56448000*li5half*ln2^3 + 
    2800*ln2^8 + 269136000*ln2^2*s6 - 656458425*s8a - 2904552000*s8b - 
    538272000*s8c - 139104000*s8d + 338688000*li7half*sinf - 
    84672000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    548800*ln2^7*sinf - 6048000*ln2*s6*sinf + 6048000*s7a*sinf - 
    332640000*s7b*sinf + 169344000*li5half*ln2*z2 - 78400*ln2^6*z2 + 
    616896000*s6*z2 + 84672000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 4468800*ln2^5*sinf*z2 - 27820800*li4half*z2^2 - 
    1747200*ln2^4*z2^2 - 12936000*ln2^3*sinf*z2^2 - 112946400*ln2^2*z2^3 - 
    56095200*ln2*sinf*z2^3 - 42051888*z2^4 - 18144000*li5half*z3 - 
    1495200*ln2^5*z3 - 148176000*li4half*sinf*z3 - 8232000*ln2^4*sinf*z3 + 
    14952000*ln2^3*z2*z3 + 49392000*ln2^2*sinf*z2*z3 + 
    454872600*ln2*z2^2*z3 + 163018800*sinf*z2^2*z3 + 177786000*ln2^2*z3^2 + 
    98847000*ln2*sinf*z3^2 + 468531000*z2*z3^2 + 194922000*ln2^3*z5 + 
    620487000*ln2^2*sinf*z5 + 1157058000*ln2*z2*z5 + 822339000*sinf*z2*z5 - 
    142624125*z3*z5 + 529200000*ln2*z7 - 2005927875*sinf*z7)/56448000, 
 H[1, -1, 1, 1, -1, 0, 1, 1, 1] -> 
  (-383846400*li8half + 50803200*li6half*ln2^2 + 11289600*li5half*ln2^3 - 
    33040*ln2^8 + 102009600*ln2^2*s6 - 124519500*s8a - 838656000*s8b - 
    119347200*s8c - 49996800*s8d + 214502400*li7half*sinf + 
    101606400*li6half*ln2*sinf + 16934400*li5half*ln2^2*sinf - 
    42560*ln2^7*sinf + 27417600*ln2*s6*sinf + 57254400*s7a*sinf - 
    69753600*s7b*sinf - 50803200*li6half*z2 - 33868800*li5half*ln2*z2 + 
    360640*ln2^6*z2 + 142329600*s6*z2 - 16934400*li5half*sinf*z2 + 
    329280*ln2^5*sinf*z2 - 9999360*li4half*z2^2 - 2509920*ln2^4*z2^2 - 
    1176000*ln2^3*sinf*z2^2 - 16289280*ln2^2*z2^3 - 3497760*ln2*sinf*z2^3 + 
    8783856*z2^4 + 193132800*li5half*z3 - 1562400*ln2^5*z3 + 
    58800*ln2^4*sinf*z3 + 15624000*ln2^3*z2*z3 - 352800*ln2^2*sinf*z2*z3 + 
    121232160*ln2*z2^2*z3 + 17408160*sinf*z2^2*z3 + 1524600*ln2^2*z3^2 + 
    41050800*ln2*sinf*z3^2 + 134051400*z2*z3^2 - 32104800*ln2^3*z5 + 
    74881800*ln2^2*sinf*z5 + 454356000*ln2*z2*z5 + 257027400*sinf*z2*z5 - 
    135216900*z3*z5 - 581945175*sinf*z7)/11289600, 
 H[1, -1, 1, 1, -1, 0, 1, 0, 1] -> 
  (2032128000*li8half + 75264000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 
    599200*ln2^8 - 234864000*ln2^2*s6 + 702958725*s8a + 3928680000*s8b + 
    554400000*s8c + 165312000*s8d - 677376000*li7half*sinf + 
    112896000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    761600*ln2^7*sinf + 225792000*ln2*s6*sinf - 141120000*s7a*sinf + 
    14112000*s7b*sinf + 508032000*li6half*z2 + 366912000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 2195200*ln2^6*z2 - 521136000*s6*z2 + 
    84672000*li5half*sinf*z2 - 3528000*ln2^5*sinf*z2 - 
    51609600*li4half*z2^2 - 6619200*ln2^4*z2^2 - 4939200*ln2^3*sinf*z2^2 + 
    19622400*ln2^2*z2^3 - 79648800*ln2*sinf*z2^3 - 85922304*z2^4 - 
    916272000*li5half*z3 + 10458000*ln2^5*z3 - 28224000*li4half*sinf*z3 + 
    2352000*ln2^4*sinf*z3 - 89880000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 - 
    663755400*ln2*z2^2*z3 + 22050000*sinf*z2^2*z3 - 57897000*ln2^2*z3^2 - 
    136269000*ln2*sinf*z3^2 - 603666000*z2*z3^2 - 76146000*ln2^3*z5 - 
    264600000*ln2^2*sinf*z5 - 2019528000*ln2*z2*z5 - 127008000*sinf*z2*z5 + 
    492022125*z3*z5 + 602240625*sinf*z7)/56448000, 
 H[1, -1, 1, 1, -1, 0, 1, -1, 1] -> 
  (-48384000*li4half^2 + 1185408000*li8half + 80640000*li7half*ln2 + 
    60480000*li6half*ln2^2 + 34944000*li5half*ln2^3 - 109800*ln2^8 - 
    62352000*ln2^2*s6 - 3168000*ln2*s7a + 8928000*ln2*s7b + 362804400*s8a + 
    2395008000*s8b + 205632000*s8c + 260064000*s8d - 72576000*li7half*sinf + 
    120960000*li6half*ln2*sinf + 52416000*li5half*ln2^2*sinf + 
    5376000*li4half*ln2^3*sinf - 30400*ln2^7*sinf + 87552000*ln2*s6*sinf - 
    12960000*s7a*sinf + 17280000*s7b*sinf - 60480000*li6half*z2 - 
    68544000*li5half*ln2*z2 + 1047200*ln2^6*z2 - 790272000*s6*z2 - 
    52416000*li5half*sinf*z2 - 16128000*li4half*ln2*sinf*z2 + 
    470400*ln2^5*sinf*z2 + 52012800*li4half*z2^2 - 12692400*ln2^4*z2^2 - 
    10785600*ln2^3*sinf*z2^2 - 7862400*ln2^2*z2^3 - 30643200*ln2*sinf*z2^3 - 
    92595456*z2^4 - 360864000*li5half*z3 + 3444000*ln2^5*z3 + 
    28224000*li4half*sinf*z3 + 1722000*ln2^4*sinf*z3 - 29148000*ln2^3*z2*z3 + 
    252000*ln2^2*sinf*z2*z3 - 259732800*ln2*z2^2*z3 - 16484400*sinf*z2^2*z3 - 
    41130000*ln2^2*z3^2 - 32706000*ln2*sinf*z3^2 - 239904000*z2*z3^2 - 
    49980000*ln2^3*z5 - 86688000*ln2^2*sinf*z5 - 544023000*ln2*z2*z5 + 
    5688000*sinf*z2*z5 + 241006500*z3*z5 - 70061625*ln2*z7 + 
    148284000*sinf*z7)/8064000, H[1, -1, 1, 1, -1, 0, 0, 1, 1] -> 
  (16128000*li8half - 24192000*li6half*ln2^2 - 10752000*li5half*ln2^3 - 
    2016000*li4half*ln2^4 - 27600*ln2^8 - 39312000*ln2^2*s6 - 24721200*s8a - 
    1008000*s8b + 16128000*s8c - 20160000*s8d - 48384000*li7half*sinf - 
    48384000*li6half*ln2*sinf - 16128000*li5half*ln2^2*sinf - 
    2688000*li4half*ln2^3*sinf - 35200*ln2^7*sinf - 47520000*ln2*s6*sinf - 
    14976000*s7a*sinf + 35424000*s7b*sinf + 32256000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 77616000*s6*z2 + 8064000*li5half*sinf*z2 - 
    8064000*li4half*ln2*sinf*z2 - 268800*ln2^5*sinf*z2 + 
    7660800*li4half*z2^2 + 2637600*ln2^4*z2^2 + 3494400*ln2^3*sinf*z2^2 + 
    5196000*ln2^2*z2^3 + 8685600*ln2*sinf*z2^3 + 19637448*z2^4 + 
    24192000*li5half*z3 - 403200*ln2^5*z3 - 4032000*li4half*sinf*z3 - 
    420000*ln2^4*sinf*z3 - 336000*ln2^3*z2*z3 - 4032000*ln2^2*sinf*z2*z3 - 
    655200*ln2*z2^2*z3 - 7664400*sinf*z2^2*z3 + 5985000*ln2^2*z3^2 - 
    2214000*ln2*sinf*z3^2 - 24822000*z2*z3^2 + 35112000*ln2^3*z5 + 
    3843000*ln2^2*sinf*z5 - 153720000*ln2*z2*z5 - 154143000*sinf*z2*z5 - 
    43785000*z3*z5 + 288246375*sinf*z7)/8064000, 
 H[1, -1, 1, 1, -1, 0, 0, 0, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 + 
    252000*ln2^2*s6 + 28494900*s8a + 116172000*s8b + 6552000*s8c + 
    25200000*s8d + 6048000*ln2*s6*sinf + 1008000*s7a*sinf + 
    4536000*s7b*sinf - 42336000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    10584000*li4half*ln2^2*z2 - 147000*ln2^6*z2 - 99792000*s6*z2 - 
    14112000*li5half*sinf*z2 - 7056000*li4half*ln2*sinf*z2 - 
    176400*ln2^5*sinf*z2 + 7509600*li4half*z2^2 + 224700*ln2^4*z2^2 + 
    176400*ln2^3*sinf*z2^2 + 1965600*ln2^2*z2^3 - 693000*ln2*sinf*z2^3 - 
    5398191*z2^4 - 11592000*li5half*z3 + 96600*ln2^5*z3 + 
    3528000*li4half*sinf*z3 + 147000*ln2^4*sinf*z3 - 3171000*ln2^3*z2*z3 - 
    2205000*ln2^2*sinf*z2*z3 - 7005600*ln2*z2^2*z3 - 1590750*sinf*z2^2*z3 - 
    4228875*ln2^2*z3^2 - 5355000*ln2*sinf*z3^2 + 3520125*z2*z3^2 - 
    6688500*ln2^3*z5 - 13450500*ln2^2*sinf*z5 + 62590500*ln2*z2*z5 + 
    17325000*sinf*z2*z5 + 26704125*z3*z5 - 5638500*sinf*z7)/7056000, 
 H[1, -1, 1, 1, -1, 0, 0, -1, 1] -> 
  (-225792000*li4half^2 + 112896000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 218400*ln2^8 + 
    240912000*ln2^2*s6 - 124992000*ln2*s7a + 2016000*ln2*s7b - 
    339913350*s8a - 1774080000*s8b - 133056000*s8c - 290304000*s8d + 
    451584000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    224000*ln2^7*sinf - 70560000*ln2*s6*sinf + 169344000*s7a*sinf + 
    56448000*s7b*sinf - 254016000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    1215200*ln2^6*z2 + 757008000*s6*z2 - 141120000*li5half*sinf*z2 - 
    112896000*li4half*ln2*sinf*z2 - 3998400*ln2^5*sinf*z2 + 
    85881600*li4half*z2^2 + 403200*ln2^4*z2^2 + 15288000*ln2^3*sinf*z2^2 - 
    123060000*ln2^2*z2^3 + 19488000*ln2*sinf*z2^3 + 99502104*z2^4 + 
    1138032000*li5half*z3 - 70560000*li4half*ln2*z3 - 11012400*ln2^5*z3 + 
    56448000*li4half*sinf*z3 + 4116000*ln2^4*sinf*z3 + 83076000*ln2^3*z2*z3 - 
    47628000*ln2^2*sinf*z2*z3 + 462369600*ln2*z2^2*z3 - 
    35103600*sinf*z2^2*z3 - 212058000*ln2^2*z3^2 + 62622000*ln2*sinf*z3^2 + 
    240250500*z2*z3^2 - 186543000*ln2^3*z5 + 14112000*ln2^2*sinf*z5 + 
    579789000*ln2*z2*z5 - 52479000*sinf*z2*z5 - 1465159500*z3*z5 - 
    216948375*ln2*z7 + 33295500*sinf*z7)/56448000, 
 H[1, -1, 1, 1, -1, 0, -1, 1, 1] -> 
  (338688000*li4half^2 - 4798080000*li8half - 762048000*li6half*ln2^2 - 
    357504000*li5half*ln2^3 + 1213800*ln2^8 - 139104000*ln2^2*s6 - 
    1927637775*s8a - 11796120000*s8b - 836640000*s8c - 1689408000*s8d - 
    1016064000*li7half*sinf - 1693440000*li6half*ln2*sinf - 
    536256000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf + 
    750400*ln2^7*sinf - 842688000*ln2*s6*sinf - 145152000*s7a*sinf + 
    193536000*s7b*sinf + 762048000*li6half*z2 + 818496000*li5half*ln2*z2 - 
    12112800*ln2^6*z2 + 5199264000*s6*z2 + 536256000*li5half*sinf*z2 + 
    112896000*li4half*ln2*sinf*z2 - 7526400*ln2^5*sinf*z2 - 
    337881600*li4half*z2^2 + 110283600*ln2^4*z2^2 + 
    88200000*ln2^3*sinf*z2^2 + 94953600*ln2^2*z2^3 + 
    185068800*ln2*sinf*z2^3 + 597595536*z2^4 + 1777104000*li5half*z3 - 
    11751600*ln2^5*z3 - 197568000*li4half*sinf*z3 - 4410000*ln2^4*sinf*z3 + 
    80472000*ln2^3*z2*z3 - 47628000*ln2^2*sinf*z2*z3 + 
    1085704200*ln2*z2^2*z3 + 16858800*sinf*z2^2*z3 + 352926000*ln2^2*z3^2 + 
    158130000*ln2*sinf*z3^2 + 932211000*z2*z3^2 + 534198000*ln2^3*z5 + 
    473193000*ln2^2*sinf*z5 + 1014489000*ln2*z2*z5 - 1380393000*sinf*z2*z5 - 
    1808848125*z3*z5 + 2370438000*sinf*z7)/56448000, 
 H[1, -1, 1, 1, -1, 0, -1, 0, 1] -> 
  (1016064000*li8half + 37632000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 
    299600*ln2^8 - 104832000*ln2^2*s6 + 531816075*s8a + 2779056000*s8b + 
    280224000*s8c + 312480000*s8d - 338688000*li7half*sinf + 
    56448000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    380800*ln2^7*sinf + 159264000*ln2*s6*sinf - 88704000*s7a*sinf + 
    38304000*s7b*sinf - 127008000*li6half*z2 - 70560000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 490000*ln2^6*z2 - 1157688000*s6*z2 - 
    42336000*li5half*sinf*z2 - 1058400*ln2^5*sinf*z2 + 
    20160000*li4half*z2^2 - 15418200*ln2^4*z2^2 - 9996000*ln2^3*sinf*z2^2 + 
    41596800*ln2^2*z2^3 - 43260000*ln2*sinf*z2^3 - 114734148*z2^4 - 
    600264000*li5half*z3 + 6883800*ln2^5*z3 - 14112000*li4half*sinf*z3 + 
    1764000*ln2^4*sinf*z3 - 35028000*ln2^3*z2*z3 + 9702000*ln2^2*sinf*z2*z3 - 
    363182400*ln2*z2^2*z3 + 718200*sinf*z2^2*z3 - 46683000*ln2^2*z3^2 - 
    125433000*ln2*sinf*z3^2 - 208734750*z2*z3^2 - 75852000*ln2^3*z5 - 
    236817000*ln2^2*sinf*z5 - 423265500*ln2*z2*z5 + 60574500*sinf*z2*z5 + 
    519592500*z3*z5 + 228666375*sinf*z7)/28224000, 
 H[1, -1, 1, 1, -1, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 - 564480000*li8half - 225792000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    233800*ln2^8 + 190512000*ln2^2*s6 - 58464000*ln2*s7a - 30240000*ln2*s7b - 
    189845775*s8a - 1426824000*s8b - 94752000*s8c - 215712000*s8d + 
    112896000*li7half*sinf + 112896000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf - 100800*ln2^7*sinf + 28224000*ln2*s6*sinf + 
    98784000*s7a*sinf - 42336000*s7b*sinf - 56448000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 
    523152000*s6*z2 + 470400*ln2^5*sinf*z2 - 30441600*li4half*z2^2 - 
    11558400*ln2^4*z2^2 - 3763200*ln2^3*sinf*z2^2 - 61404000*ln2^2*z2^3 - 
    10869600*ln2*sinf*z2^3 + 88981656*z2^4 + 445536000*li5half*z3 - 
    112896000*li4half*ln2*z3 - 8338400*ln2^5*z3 + 35280000*li4half*sinf*z3 + 
    1568000*ln2^4*sinf*z3 + 64568000*ln2^3*z2*z3 - 9408000*ln2^2*sinf*z2*z3 + 
    217295400*ln2*z2^2*z3 - 5056800*sinf*z2^2*z3 - 118261500*ln2^2*z3^2 + 
    50127000*ln2*sinf*z3^2 + 174993000*z2*z3^2 - 80850000*ln2^3*z5 + 
    56448000*ln2^2*sinf*z5 + 478044000*ln2*z2*z5 + 154350000*sinf*z2*z5 - 
    480934125*z3*z5 - 150404625*ln2*z7 - 283948875*sinf*z7)/18816000, 
 H[1, -1, 1, 1, -1, -1, 1, 1, 1] -> 
  (-169344000*li8half + 5600*ln2^8 + 51408000*ln2^2*s6 - 183725325*s8a - 
    654696000*s8b - 102816000*s8c - 66528000*s8d + 11200*ln2^7*sinf - 
    156800*ln2^6*z2 + 217728000*s6*z2 - 235200*ln2^5*sinf*z2 - 
    13305600*li4half*z2^2 - 1730400*ln2^4*z2^2 - 1176000*ln2^3*sinf*z2^2 - 
    25754400*ln2^2*z2^3 + 1713600*ln2*sinf*z2^3 + 36108288*z2^4 + 
    133056000*li5half*z3 + 537600*ln2^5*z3 + 2058000*ln2^4*sinf*z3 + 
    8736000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 + 124500600*ln2*z2^2*z3 + 
    3704400*sinf*z2^2*z3 + 11151000*ln2^2*z3^2 - 6615000*ln2*sinf*z3^2 + 
    111510000*z2*z3^2 + 41454000*ln2^3*z5 - 1323000*ln2^2*sinf*z5 + 
    184086000*ln2*z2*z5 + 1323000*sinf*z2*z5 - 276593625*z3*z5 - 
    13119750*sinf*z7)/56448000, H[1, -1, 1, 1, -1, -1, 1, 0, 1] -> 
  (-169344000*li4half^2 - 846720000*li8half + 225792000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 - 40600*ln2^8 + 378000000*ln2^2*s6 - 
    377736975*s8a - 2907576000*s8b - 445536000*s8c - 175392000*s8d + 
    733824000*li7half*sinf + 451584000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    324800*ln2^7*sinf + 118944000*ln2*s6*sinf + 191520000*s7a*sinf - 
    260064000*s7b*sinf - 225792000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    509600*ln2^6*z2 + 506016000*s6*z2 - 112896000*li5half*sinf*z2 - 
    56448000*li4half*ln2*sinf*z2 - 2822400*ln2^5*sinf*z2 - 
    35078400*li4half*z2^2 - 5401200*ln2^4*z2^2 + 5174400*ln2^3*sinf*z2^2 - 
    107049600*ln2^2*z2^3 - 31600800*ln2*sinf*z2^3 - 19553256*z2^4 + 
    745920000*li5half*z3 - 3158400*ln2^5*z3 + 98784000*li4half*sinf*z3 + 
    7938000*ln2^4*sinf*z3 + 52164000*ln2^3*z2*z3 - 
    35280000*ln2^2*sinf*z2*z3 + 394795800*ln2*z2^2*z3 + 
    16203600*sinf*z2^2*z3 + 47659500*ln2^2*z3^2 + 209412000*ln2*sinf*z3^2 + 
    449032500*z2*z3^2 - 119070000*ln2^3*z5 + 258867000*ln2^2*sinf*z5 + 
    1816857000*ln2*z2*z5 + 955332000*sinf*z2*z5 - 427888125*z3*z5 - 
    2002762125*sinf*z7)/56448000, H[1, -1, 1, 1, -1, -1, 1, -1, 1] -> 
  (-36288000*li4half^2 + 12096000*li6half*ln2^2 + 8064000*li5half*ln2^3 + 
    11200*ln2^8 + 12096000*ln2^2*s6 + 21772800*s8a + 24192000*li7half*sinf + 
    24192000*li6half*ln2*sinf + 12096000*li5half*ln2^2*sinf + 
    4032000*li4half*ln2^3*sinf + 94400*ln2^7*sinf + 14688000*ln2*s6*sinf + 
    9504000*s7a*sinf - 14688000*s7b*sinf - 12096000*li6half*z2 - 
    24192000*li5half*ln2*z2 - 112000*ln2^6*z2 - 12096000*s6*z2 - 
    12096000*li5half*sinf*z2 - 12096000*li4half*ln2*sinf*z2 - 
    772800*ln2^5*sinf*z2 + 672000*ln2^4*z2^2 + 2184000*ln2^3*sinf*z2^2 - 
    316800*ln2^2*z2^3 - 2815200*ln2*sinf*z2^3 - 4240512*z2^4 + 
    42336000*li5half*z3 + 117600*ln2^5*z3 + 21168000*li4half*sinf*z3 + 
    1470000*ln2^4*sinf*z3 - 3192000*ln2^3*z2*z3 - 10836000*ln2^2*sinf*z2*z3 - 
    13456800*ln2*z2^2*z3 - 7092000*sinf*z2^2*z3 + 5859000*ln2^2*z3^2 + 
    23598000*ln2*sinf*z3^2 - 5859000*z2*z3^2 - 21546000*ln2^3*z5 + 
    189000*ln2^2*sinf*z5 + 64638000*ln2*z2*z5 + 67149000*sinf*z2*z5 + 
    18427500*z3*z5 - 33768000*ln2*z7 - 103555125*sinf*z7)/8064000, 
 H[1, -1, 1, 1, -1, -1, 0, 1, 1] -> 
  (-1524096000*li8half + 310464000*li6half*ln2^2 + 75264000*li5half*ln2^3 - 
    233800*ln2^8 + 389088000*ln2^2*s6 - 637186725*s8a - 3179736000*s8b - 
    538272000*s8c - 82656000*s8d + 1128960000*li7half*sinf + 
    620928000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf - 
    302400*ln2^7*sinf + 44352000*ln2*s6*sinf + 195552000*s7a*sinf - 
    256032000*s7b*sinf - 479808000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    2469600*ln2^6*z2 + 186480000*s6*z2 - 112896000*li5half*sinf*z2 + 
    2587200*ln2^5*sinf*z2 - 16531200*li4half*z2^2 - 15682800*ln2^4*z2^2 - 
    13876800*ln2^3*sinf*z2^2 - 60832800*ln2^2*z2^3 - 11138400*ln2*sinf*z2^3 + 
    60949584*z2^4 + 560448000*li5half*z3 - 5846400*ln2^5*z3 - 
    1470000*ln2^4*sinf*z3 + 74928000*ln2^3*z2*z3 + 
    33516000*ln2^2*sinf*z2*z3 + 571649400*ln2*z2^2*z3 + 
    82958400*sinf*z2^2*z3 + 13734000*ln2^2*z3^2 + 120519000*ln2*sinf*z3^2 + 
    622881000*z2*z3^2 - 24990000*ln2^3*z5 + 399987000*ln2^2*sinf*z5 + 
    1943802000*ln2*z2*z5 + 801045000*sinf*z2*z5 - 468302625*z3*z5 - 
    2219576625*sinf*z7)/56448000, H[1, -1, 1, 1, -1, -1, 0, 0, 1] -> 
  (1128960000*li8half - 225792000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 246400*ln2^8 - 435456000*ln2^2*s6 + 
    669488400*s8a + 4076352000*s8b + 560448000*s8c + 370944000*s8d - 
    790272000*li7half*sinf - 451584000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    313600*ln2^7*sinf - 112896000*ln2*s6*sinf - 197568000*s7a*sinf + 
    352800000*s7b*sinf - 56448000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 862400*ln2^6*z2 - 1193472000*s6*z2 + 
    1411200*ln2^5*sinf*z2 + 116524800*li4half*z2^2 - 319200*ln2^4*z2^2 - 
    4468800*ln2^3*sinf*z2^2 + 97171200*ln2^2*z2^3 + 36036000*ln2*sinf*z2^3 - 
    51996456*z2^4 - 770112000*li5half*z3 + 4536000*ln2^5*z3 + 
    14112000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 - 48300000*ln2^3*z2*z3 + 
    8820000*ln2^2*sinf*z2*z3 - 555080400*ln2*z2^2*z3 - 
    99313200*sinf*z2^2*z3 - 48163500*ln2^2*z3^2 - 185661000*ln2*sinf*z3^2 - 
    572701500*z2*z3^2 + 89964000*ln2^3*z5 - 398223000*ln2^2*sinf*z5 - 
    1584765000*ln2*z2*z5 - 1066338000*sinf*z2*z5 + 852972750*z3*z5 + 
    2500414875*sinf*z7)/56448000, H[1, -1, 1, 1, -1, -1, 0, -1, 1] -> 
  (50803200*li4half^2 + 383846400*li8half + 33868800*li7half*ln2 + 
    28224000*li6half*ln2^2 + 15052800*li5half*ln2^3 + 4233600*li4half*ln2^4 + 
    4760*ln2^8 - 53827200*ln2^2*s6 + 16934400*ln2*s7a + 42336000*ln2*s7b + 
    100737000*s8a + 894902400*s8b + 54028800*s8c + 143539200*s8d - 
    11289600*li7half*sinf + 56448000*li6half*ln2*sinf + 
    22579200*li5half*ln2^2*sinf - 107520*ln2^7*sinf + 12499200*ln2*s6*sinf - 
    32256000*s7a*sinf + 55238400*s7b*sinf - 45158400*li6half*z2 - 
    45158400*li5half*ln2*z2 - 25401600*li4half*ln2^2*z2 - 164640*ln2^6*z2 - 
    392918400*s6*z2 - 22579200*li5half*sinf*z2 + 893760*ln2^5*sinf*z2 + 
    21087360*li4half*z2^2 - 2578800*ln2^4*z2^2 - 4986240*ln2^3*sinf*z2^2 + 
    12388320*ln2^2*z2^3 + 1340640*ln2*sinf*z2^3 - 45891288*z2^4 - 
    208051200*li5half*z3 + 67737600*li4half*ln2*z3 + 3474240*ln2^5*z3 - 
    21168000*li4half*sinf*z3 - 2234400*ln2^4*sinf*z3 - 21806400*ln2^3*z2*z3 + 
    15876000*ln2^2*sinf*z2*z3 - 103340160*ln2*z2^2*z3 - 
    2827440*sinf*z2^2*z3 + 913500*ln2^2*z3^2 - 65633400*ln2*sinf*z3^2 - 
    65261700*z2*z3^2 - 28723800*ln2^3*z5 - 90934200*ln2^2*sinf*z5 - 
    249492600*ln2*z2*z5 - 159087600*sinf*z2*z5 + 144210150*z3*z5 + 
    290762325*ln2*z7 + 291266325*sinf*z7)/11289600, 
 H[1, -1, 1, 1, -1, -1, -1, 1, 1] -> 
  (16934400*li4half^2 + 90316800*li8half - 16934400*li6half*ln2^2 - 
    7526400*li5half*ln2^3 + 10080*ln2^8 - 39312000*ln2^2*s6 + 32676525*s8a + 
    309556800*s8b + 44755200*s8c + 17337600*s8d - 45158400*li7half*sinf - 
    33868800*li6half*ln2*sinf - 11289600*li5half*ln2^2*sinf - 
    1881600*li4half*ln2^3*sinf - 24640*ln2^7*sinf - 20966400*ln2*s6*sinf - 
    12902400*s7a*sinf + 18144000*s7b*sinf + 16934400*li6half*z2 + 
    22579200*li5half*ln2*z2 - 94080*ln2^6*z2 - 48787200*s6*z2 + 
    11289600*li5half*sinf*z2 + 5644800*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 + 3467520*li4half*z2^2 + 850080*ln2^4*z2^2 - 
    235200*ln2^3*sinf*z2^2 + 8934240*ln2^2*z2^3 + 1777440*ln2*sinf*z2^3 + 
    5914176*z2^4 - 74188800*li5half*z3 + 288960*ln2^5*z3 - 
    9878400*li4half*sinf*z3 - 823200*ln2^4*sinf*z3 - 5712000*ln2^3*z2*z3 + 
    2116800*ln2^2*sinf*z2*z3 - 41501880*ln2*z2^2*z3 + 287280*sinf*z2^2*z3 - 
    1045800*ln2^2*z3^2 - 11277000*ln2*sinf*z3^2 - 49442400*z2*z3^2 + 
    15405600*ln2^3*z5 + 5733000*ln2^2*sinf*z5 - 205884000*ln2*z2*z5 - 
    90077400*sinf*z2*z5 + 42983325*z3*z5 + 166998825*sinf*z7)/11289600, 
 H[1, -1, 1, 1, -1, -1, -1, 0, 1] -> 
  (135475200*li8half - 28224000*li6half*ln2^2 - 3763200*li5half*ln2^3 + 
    1411200*li4half*ln2^4 + 54320*ln2^8 - 40320000*ln2^2*s6 + 84424725*s8a + 
    382536000*s8b + 60883200*s8c + 20966400*s8d - 112896000*li7half*sinf - 
    56448000*li6half*ln2*sinf - 5644800*li5half*ln2^2*sinf + 
    1881600*li4half*ln2^3*sinf + 69440*ln2^7*sinf + 4435200*ln2*s6*sinf - 
    24192000*s7a*sinf + 23788800*s7b*sinf + 39513600*li6half*z2 + 
    28224000*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 - 297920*ln2^6*z2 - 
    75801600*s6*z2 + 11289600*li5half*sinf*z2 - 376320*ln2^5*sinf*z2 - 
    40320*li4half*z2^2 + 903840*ln2^4*z2^2 + 846720*ln2^3*sinf*z2^2 + 
    15412320*ln2^2*z2^3 + 1380960*ln2*sinf*z2^3 - 10388736*z2^4 - 
    80035200*li5half*z3 + 1043280*ln2^5*z3 - 1411200*li4half*sinf*z3 + 
    411600*ln2^4*sinf*z3 - 10432800*ln2^3*z2*z3 - 2469600*ln2^2*sinf*z2*z3 - 
    68481000*ln2*z2^2*z3 - 6874560*sinf*z2^2*z3 - 2387700*ln2^2*z3^2 - 
    17892000*ln2*sinf*z3^2 - 60347700*z2*z3^2 - 3528000*ln2^3*z5 - 
    51773400*ln2^2*sinf*z5 - 188470800*ln2*z2*z5 - 63088200*sinf*z2*z5 + 
    83460825*z3*z5 + 187505325*sinf*z7)/11289600, 
 H[1, -1, 1, 1, -1, -1, -1, -1, 1] -> 
  (-197568000*li8half + 28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 
    39200*ln2^8 + 30240000*ln2^2*s6 - 84831075*s8a - 464184000*s8b - 
    46368000*s8c - 38304000*s8d + 84672000*li7half*sinf + 
    56448000*li6half*ln2*sinf + 14112000*li5half*ln2^2*sinf - 
    50400*ln2^7*sinf - 13104000*ln2*s6*sinf + 27216000*s7a*sinf + 
    20160000*s7b*sinf - 28224000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    392000*ln2^6*z2 + 111888000*s6*z2 - 14112000*li5half*sinf*z2 + 
    352800*ln2^5*sinf*z2 - 7660800*li4half*z2^2 - 2671200*ln2^4*z2^2 - 
    1764000*ln2^3*sinf*z2^2 - 10113600*ln2^2*z2^3 + 7022400*ln2*sinf*z2^3 + 
    20422968*z2^4 + 126000000*li5half*z3 - 1050000*ln2^5*z3 + 
    17556000*ln2^3*z2*z3 + 7056000*ln2^2*sinf*z2*z3 + 80224200*ln2*z2^2*z3 - 
    3679200*sinf*z2^2*z3 - 23467500*ln2^2*z3^2 - 11844000*ln2*sinf*z3^2 + 
    73804500*z2*z3^2 + 7056000*ln2^3*z5 - 14332500*ln2^2*sinf*z5 + 
    174384000*ln2*z2*z5 - 44887500*sinf*z2*z5 - 157192875*z3*z5 + 
    17640000*ln2*z7 + 40642875*sinf*z7)/28224000, 
 H[1, -1, 1, 0, 1, 1, 1, 1, 1] -> (290304*li4half^2 + 451584*li8half - 
    161280*li6half*ln2^2 - 86016*li5half*ln2^3 - 387072*li7half*sinf - 
    322560*li6half*ln2*sinf - 129024*li5half*ln2^2*sinf - 
    32256*li4half*ln2^3*sinf - 640*ln2^7*sinf + 80640*ln2*s6*sinf - 
    80640*s7a*sinf - 80640*s7b*sinf + 161280*li6half*z2 + 
    258048*li5half*ln2*z2 + 129024*li5half*sinf*z2 + 
    96768*li4half*ln2*sinf*z2 + 5376*ln2^5*sinf*z2 - 13440*ln2^3*sinf*z2^2 + 
    36864*ln2^2*z2^3 - 14112*ln2*sinf*z2^3 - 36864*z2^4 - 451584*li5half*z3 - 
    169344*li4half*sinf*z3 - 11760*ln2^4*sinf*z3 + 70560*ln2^2*sinf*z2*z3 + 
    129024*sinf*z2^2*z3 - 100800*ln2*sinf*z3^2 - 21504*ln2^3*z5 - 
    32256*ln2^2*sinf*z5 + 64512*ln2*z2*z5 + 269136*sinf*z2*z5 - 
    112896*z3*z5 - 530145*sinf*z7)/64512, H[1, -1, 1, 0, 1, 1, 1, 0, 1] -> 
  (-127008000*li4half^2 - 10584000*li4half*ln2^4 - 220500*ln2^8 - 
    113904000*ln2^2*s6 + 237607650*s8a + 865368000*s8b + 157248000*s8c + 
    54432000*s8d - 56448000*ln2*s6*sinf - 14112000*s7a*sinf + 
    127008000*s7b*sinf - 141120000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 + 333200*ln2^6*z2 - 249984000*s6*z2 - 
    56448000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*z2 - 
    1293600*ln2^5*sinf*z2 + 42638400*li4half*z2^2 + 3834600*ln2^4*z2^2 + 
    5880000*ln2^3*sinf*z2^2 + 18001200*ln2^2*z2^3 + 28341600*ln2*sinf*z2^3 - 
    6751776*z2^4 + 74592000*li5half*z3 - 621600*ln2^5*z3 + 
    84672000*li4half*sinf*z3 + 3528000*ln2^4*sinf*z3 - 23772000*ln2^3*z2*z3 - 
    47628000*ln2^2*sinf*z2*z3 - 124034400*ln2*z2^2*z3 - 
    86436000*sinf*z2^2*z3 - 9103500*ln2^2*z3^2 + 8379000*ln2*sinf*z3^2 - 
    211207500*z2*z3^2 + 28224000*ln2^3*z5 - 94374000*ln2^2*sinf*z5 - 
    387072000*ln2*z2*z5 - 363384000*sinf*z2*z5 + 450717750*z3*z5 + 
    796831875*sinf*z7)/28224000, H[1, -1, 1, 0, 1, 1, 1, -1, 1] -> 
  (-7451136000*li8half + 225792000*li7half*ln2 + 254016000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 985600*ln2^8 + 
    615888000*ln2^2*s6 + 137088000*ln2*s7a + 52416000*ln2*s7b - 
    2405683350*s8a - 16008048000*s8b - 1632960000*s8c - 1471680000*s8d + 
    2370816000*li7half*sinf + 508032000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    1332800*ln2^7*sinf - 381024000*ln2*s6*sinf + 254016000*s7a*sinf - 
    268128000*s7b*sinf - 254016000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 14268800*ln2^6*z2 + 4559184000*s6*z2 - 
    56448000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    16699200*ln2^5*sinf*z2 - 345139200*li4half*z2^2 + 118272000*ln2^4*z2^2 + 
    80908800*ln2^3*sinf*z2^2 + 47930400*ln2^2*z2^3 + 
    248018400*ln2*sinf*z2^3 + 497228544*z2^4 + 3140928000*li5half*z3 + 
    451584000*li4half*ln2*z3 - 4065600*ln2^5*z3 + 56448000*li4half*sinf*z3 + 
    6468000*ln2^4*sinf*z3 + 74760000*ln2^3*z2*z3 - 
    63504000*ln2^2*sinf*z2*z3 + 1710954000*ln2*z2^2*z3 + 
    48510000*sinf*z2^2*z3 + 443331000*ln2^2*z3^2 + 402192000*ln2*sinf*z3^2 + 
    1693503000*z2*z3^2 + 82614000*ln2^3*z5 + 506709000*ln2^2*sinf*z5 + 
    4745790000*ln2*z2*z5 + 803061000*sinf*z2*z5 - 1607964750*z3*z5 + 
    713049750*ln2*z7 - 3459038625*sinf*z7)/56448000, 
 H[1, -1, 1, 0, 1, 1, 0, 1, 1] -> 
  (-50803200*li4half^2 - 4233600*li4half*ln2^4 - 88200*ln2^8 + 
    38707200*ln2^2*s6 - 118931400*s8a - 271555200*s8b - 77414400*s8c - 
    7257600*s8d - 23385600*ln2*s6*sinf + 23385600*s7a*sinf - 
    18950400*s7b*sinf + 56448000*li6half*z2 + 8467200*li4half*ln2^2*z2 + 
    431200*ln2^6*z2 + 56851200*s6*z2 - 45158400*li5half*sinf*z2 - 
    33868800*li4half*ln2*sinf*z2 - 1034880*ln2^5*sinf*z2 + 
    23103360*li4half*z2^2 + 845040*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 - 
    22972320*ln2^2*z2^3 - 12287520*ln2*sinf*z2^3 - 1891296*z2^4 + 
    104832000*li5half*z3 - 873600*ln2^5*z3 + 21168000*li4half*sinf*z3 + 
    882000*ln2^4*sinf*z3 + 9676800*ln2^3*z2*z3 - 3880800*ln2^2*sinf*z2*z3 + 
    82252800*ln2*z2^2*z3 - 2772000*sinf*z2^2*z3 + 11062800*ln2^2*z3^2 + 
    29584800*ln2*sinf*z3^2 + 92811600*z2*z3^2 + 10407600*ln2^3*z5 + 
    56624400*ln2^2*sinf*z5 + 201020400*ln2*z2*z5 + 55666800*sinf*z2*z5 - 
    293296500*z3*z5 - 3595725*sinf*z7)/11289600, 
 H[1, -1, 1, 0, 1, 1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    16128000*ln2^2*s6 + 17578575*s8a + 61992000*s8b + 22848000*s8c + 
    5376000*s8d + 2016000*ln2*s6*sinf - 11424000*s7a*sinf + 
    7392000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    29568000*s6*z2 - 4569600*li4half*z2^2 + 1573600*ln2^4*z2^2 + 
    10880800*ln2^2*z2^3 + 4054400*ln2*sinf*z2^3 + 5679332*z2^4 - 
    48384000*li5half*z3 + 403200*ln2^5*z3 - 21168000*li4half*sinf*z3 - 
    882000*ln2^4*sinf*z3 - 7168000*ln2^3*z2*z3 + 588000*ln2^2*sinf*z2*z3 - 
    6871200*ln2*z2^2*z3 + 19042800*sinf*z2^2*z3 - 6888000*ln2^2*z3^2 - 
    21630000*ln2*sinf*z3^2 - 18018000*z2*z3^2 + 1568000*ln2^3*z5 - 
    15876000*ln2^2*sinf*z5 - 34219500*ln2*z2*z5 - 11644500*sinf*z2*z5 + 
    13849500*z3*z5 - 29460375*sinf*z7)/9408000, 
 H[1, -1, 1, 0, 1, 1, 0, -1, 1] -> 
  (-48384000*li4half^2 - 4032000*li4half*ln2^4 - 84000*ln2^8 - 
    30096000*ln2^2*s6 - 23328000*ln2*s7a - 53568000*ln2*s7b + 84106575*s8a + 
    420840000*s8b + 106848000*s8c - 16128000*s8d - 24480000*ln2*s6*sinf + 
    24480000*s7a*sinf + 24480000*s7b*sinf + 20160000*li6half*z2 + 
    18144000*li4half*ln2^2*z2 + 784000*ln2^6*z2 - 13104000*s6*z2 - 
    16128000*li5half*sinf*z2 - 12096000*li4half*ln2*sinf*z2 - 
    369600*ln2^5*sinf*z2 + 33062400*li4half*z2^2 - 554400*ln2^4*z2^2 + 
    1680000*ln2^3*sinf*z2^2 + 2448000*ln2^2*z2^3 + 3780000*ln2*sinf*z2^3 + 
    36482472*z2^4 + 52416000*li5half*z3 - 63504000*li4half*ln2*z3 - 
    3082800*ln2^5*z3 + 6048000*li4half*sinf*z3 + 252000*ln2^4*sinf*z3 + 
    18396000*ln2^3*z2*z3 - 4284000*ln2^2*sinf*z2*z3 + 5459400*ln2*z2^2*z3 - 
    6634800*sinf*z2^2*z3 - 61069500*ln2^2*z3^2 - 3168000*ln2*sinf*z3^2 - 
    77773500*z2*z3^2 + 27069000*ln2^3*z5 - 3339000*ln2^2*sinf*z5 - 
    155565000*ln2*z2*z5 - 63468000*sinf*z2*z5 - 120337875*z3*z5 - 
    492405750*ln2*z7 + 156259125*sinf*z7)/8064000, 
 H[1, -1, 1, 0, 1, 1, -1, 1, 1] -> 
  (8504832000*li8half - 103488000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    246400*ln2^8 - 1203888000*ln2^2*s6 + 3396943200*s8a + 21419328000*s8b + 
    2365440000*s8c + 2037504000*s8d - 1975680000*li7half*sinf - 
    169344000*li6half*ln2*sinf + 56448000*li5half*ln2^2*sinf - 
    313600*ln2^7*sinf + 360864000*ln2*s6*sinf - 389088000*s7a*sinf + 
    485856000*s7b*sinf + 103488000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    5174400*ln2^6*z2 - 6255312000*s6*z2 - 56448000*li5half*sinf*z2 + 
    7526400*ln2^5*sinf*z2 + 407500800*li4half*z2^2 - 87214400*ln2^4*z2^2 - 
    74088000*ln2^3*sinf*z2^2 + 156760800*ln2^2*z2^3 - 
    167748000*ln2*sinf*z2^3 - 570657408*z2^4 - 3877440000*li5half*z3 + 
    33958400*ln2^5*z3 + 2058000*ln2^4*sinf*z3 - 298424000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 - 2729546400*ln2*z2^2*z3 - 
    143388000*sinf*z2^2*z3 - 286629000*ln2^2*z3^2 - 463428000*ln2*sinf*z3^2 - 
    2575671000*z2*z3^2 - 2842000*ln2^3*z5 - 851865000*ln2^2*sinf*z5 - 
    7087794000*ln2*z2*z5 - 1450281000*sinf*z2*z5 + 3178759500*z3*z5 + 
    4329257625*sinf*z7)/18816000, H[1, -1, 1, 0, 1, 1, -1, 0, 1] -> 
  (16934400*li4half^2 - 2709504000*li8half + 135475200*li6half*ln2^2 + 
    15052800*li5half*ln2^3 + 1411200*li4half*ln2^4 + 24920*ln2^8 + 
    432835200*ln2^2*s6 - 1108858275*s8a - 6968808000*s8b - 775353600*s8c - 
    647136000*s8d + 1083801600*li7half*sinf + 270950400*li6half*ln2*sinf + 
    22579200*li5half*ln2^2*sinf - 26880*ln2^7*sinf - 122169600*ln2*s6*sinf + 
    212486400*s7a*sinf - 278611200*s7b*sinf + 158054400*li6half*z2 + 
    90316800*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 - 101920*ln2^6*z2 + 
    2077488000*s6*z2 + 22579200*li5half*sinf*z2 + 5644800*li4half*ln2*sinf*
     z2 + 799680*ln2^5*sinf*z2 - 133660800*li4half*z2^2 + 
    13670160*ln2^4*z2^2 + 22908480*ln2^3*sinf*z2^2 - 79897440*ln2^2*z2^3 + 
    62459040*ln2*sinf*z2^3 + 145007544*z2^4 + 1226534400*li5half*z3 - 
    10221120*ln2^5*z3 - 11289600*li4half*sinf*z3 - 470400*ln2^4*sinf*z3 + 
    108444000*ln2^3*z2*z3 + 1058400*ln2^2*sinf*z2*z3 + 
    897777720*ln2*z2^2*z3 + 89132400*sinf*z2^2*z3 + 83544300*ln2^2*z3^2 + 
    214628400*ln2*sinf*z3^2 + 824638500*z2*z3^2 - 5821200*ln2^3*z5 + 
    467019000*ln2^2*sinf*z5 + 2349610200*ln2*z2*z5 + 844527600*sinf*z2*z5 - 
    1030798125*z3*z5 - 2459127825*sinf*z7)/11289600, 
 H[1, -1, 1, 0, 1, 1, -1, -1, 1] -> 
  (-17894016000*li8half + 197568000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 + 203000*ln2^8 + 2337552000*ln2^2*s6 + 
    108864000*ln2*s7a - 187488000*ln2*s7b - 6893718300*s8a - 
    41748336000*s8b - 4737600000*s8c - 3842496000*s8d + 
    4120704000*li7half*sinf + 282240000*li6half*ln2*sinf - 
    225792000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf + 
    280000*ln2^7*sinf - 846720000*ln2*s6*sinf + 959616000*s7a*sinf - 
    987840000*s7b*sinf - 141120000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 - 6076000*ln2^6*z2 + 11918592000*s6*z2 + 
    112896000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 - 
    11995200*ln2^5*sinf*z2 - 730396800*li4half*z2^2 + 169486800*ln2^4*z2^2 + 
    125596800*ln2^3*sinf*z2^2 - 268228800*ln2^2*z2^3 + 
    327196800*ln2*sinf*z2^3 + 1285709832*z2^4 + 7261632000*li5half*z3 - 
    338688000*li4half*ln2*z3 - 79564800*ln2^5*z3 - 42336000*li4half*sinf*z3 - 
    7938000*ln2^4*sinf*z3 + 686280000*ln2^3*z2*z3 + 
    42336000*ln2^2*sinf*z2*z3 + 5518548000*ln2*z2^2*z3 + 
    312757200*sinf*z2^2*z3 + 564826500*ln2^2*z3^2 + 931833000*ln2*sinf*z3^2 + 
    5295370500*z2*z3^2 + 341187000*ln2^3*z5 + 1967742000*ln2^2*sinf*z5 + 
    14569506000*ln2*z2*z5 + 2840481000*sinf*z2*z5 - 6600746250*z3*z5 - 
    1930469625*ln2*z7 - 8576127000*sinf*z7)/56448000, 
 H[1, -1, 1, 0, 1, 0, 1, 1, 1] -> (-84672000*li4half^2 - 282240000*li8half + 
    84672000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 56000*ln2^8 + 
    2772000*ln2^2*s6 + 22472100*s8a + 44856000*s8b + 5040000*s8c + 
    47880000*s8d + 225792000*li7half*sinf + 169344000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    112000*ln2^7*sinf - 1512000*ln2*s6*sinf + 12096000*s7a*sinf + 
    33264000*s7b*sinf - 84672000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    627200*ln2^6*z2 - 127512000*s6*z2 - 56448000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 940800*ln2^5*sinf*z2 + 
    26510400*li4half*z2^2 - 1247400*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 + 
    6123600*ln2^2*z2^3 + 16178400*ln2*sinf*z2^3 + 7138386*z2^4 + 
    158256000*li5half*z3 - 1318800*ln2^5*z3 + 35280000*li4half*sinf*z3 + 
    1470000*ln2^4*sinf*z3 - 924000*ln2^3*z2*z3 - 29988000*ln2^2*sinf*z2*z3 + 
    49020300*ln2*z2^2*z3 - 17677800*sinf*z2^2*z3 - 5449500*ln2^2*z3^2 + 
    5638500*ln2*sinf*z3^2 - 85806000*z2*z3^2 - 1470000*ln2^3*z5 - 
    22711500*ln2^2*sinf*z5 - 10710000*ln2*z2*z5 - 96169500*sinf*z2*z5 + 
    216405000*z3*z5 + 35697375*sinf*z7)/14112000, 
 H[1, -1, 1, 0, 1, 0, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    16128000*ln2^2*s6 - 32918025*s8a - 189588000*s8b - 13440000*s8c - 
    43008000*s8d + 6720000*ln2*s6*sinf + 12096000*s7a*sinf - 
    25536000*s7b*sinf + 56448000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    4704000*li4half*ln2^2*z2 - 196000*ln2^6*z2 + 127176000*s6*z2 + 
    18816000*li5half*sinf*z2 + 9408000*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 - 18950400*li4half*z2^2 - 201600*ln2^4*z2^2 - 
    784000*ln2^3*sinf*z2^2 - 7350000*ln2^2*z2^3 - 6644400*ln2*sinf*z2^3 + 
    6702366*z2^4 - 12768000*li5half*z3 + 106400*ln2^5*z3 - 
    9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 + 2072000*ln2^3*z2*z3 + 
    7056000*ln2^2*sinf*z2*z3 + 4254600*ln2*z2^2*z3 + 9664200*sinf*z2^2*z3 - 
    1491000*ln2^2*z3^2 + 8358000*ln2*sinf*z3^2 + 33820500*z2*z3^2 - 
    3136000*ln2^3*z5 + 31752000*ln2^2*sinf*z5 - 5397000*ln2*z2*z5 + 
    62517000*sinf*z2*z5 - 82112625*z3*z5 - 130045125*sinf*z7)/4704000, 
 H[1, -1, 1, 0, 1, 0, 1, -1, 1] -> 
  (-2016000*li4half^2 - 64512000*li7half*ln2 - 24192000*li6half*ln2^2 - 
    10752000*li5half*ln2^3 - 4200000*li4half*ln2^4 - 102700*ln2^8 + 
    56664000*ln2^2*s6 - 25920000*ln2*s7a + 12384000*ln2*s7b - 70207200*s8a - 
    338688000*s8b - 48384000*s8c - 48384000*s8d - 129024000*li7half*sinf - 
    48384000*li6half*ln2*sinf - 16128000*li5half*ln2^2*sinf - 
    5376000*li4half*ln2^3*sinf - 131200*ln2^7*sinf + 13104000*ln2*s6*sinf + 
    24192000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    25200000*li4half*ln2^2*z2 + 960400*ln2^6*z2 + 138600000*s6*z2 + 
    16128000*li5half*sinf*z2 + 10080000*li4half*ln2*sinf*z2 + 
    756000*ln2^5*sinf*z2 - 2520000*li4half*z2^2 - 4867800*ln2^4*z2^2 - 
    5359200*ln2^3*sinf*z2^2 - 22701600*ln2^2*z2^3 - 14248800*ln2*sinf*z2^3 + 
    3536388*z2^4 + 24192000*li5half*z3 - 57456000*li4half*ln2*z3 - 
    2595600*ln2^5*z3 - 4032000*li4half*sinf*z3 - 168000*ln2^4*sinf*z3 + 
    16800000*ln2^3*z2*z3 + 1260000*ln2^2*sinf*z2*z3 + 49762800*ln2*z2^2*z3 + 
    1159200*sinf*z2^2*z3 - 29029500*ln2^2*z3^2 - 6867000*ln2*sinf*z3^2 + 
    64795500*z2*z3^2 - 27573000*ln2^3*z5 + 14301000*ln2^2*sinf*z5 + 
    68013000*ln2*z2*z5 - 14301000*sinf*z2*z5 - 130378500*z3*z5 + 
    101086875*ln2*z7 + 127449000*sinf*z7)/4032000, 
 H[1, -1, 1, 0, 1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    40320000*ln2^2*s6 - 40071150*s8a - 340200000*s8b - 33600000*s8c - 
    41664000*s8d + 36960000*ln2*s6*sinf + 10080000*s7a*sinf - 
    51072000*s7b*sinf - 112896000*li6half*z2 - 9408000*li4half*ln2^2*z2 - 
    548800*ln2^6*z2 + 43344000*s6*z2 + 75264000*li5half*sinf*z2 + 
    37632000*li4half*ln2*sinf*z2 + 940800*ln2^5*sinf*z2 - 
    30912000*li4half*z2^2 - 112000*ln2^4*z2^2 - 3136000*ln2^3*sinf*z2^2 + 
    6910400*ln2^2*z2^3 + 1254400*ln2*sinf*z2^3 + 13926396*z2^4 - 
    29568000*li5half*z3 + 246400*ln2^5*z3 - 32928000*li4half*sinf*z3 - 
    1372000*ln2^4*sinf*z3 + 3808000*ln2^3*z2*z3 + 17640000*ln2^2*sinf*z2*z3 + 
    14355600*ln2*z2^2*z3 + 25502400*sinf*z2^2*z3 - 2478000*ln2^2*z3^2 - 
    1806000*ln2*sinf*z3^2 + 98847000*z2*z3^2 - 35378000*ln2^3*z5 + 
    6174000*ln2^2*sinf*z5 + 206934000*ln2*z2*z5 + 138264000*sinf*z2*z5 - 
    88572750*z3*z5 - 361722375*sinf*z7)/9408000, 
 H[1, -1, 1, 0, 1, 0, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    68544000*ln2^2*s6 + 136374525*s8a + 640080000*s8b + 80640000*s8c + 
    88704000*s8d - 20160000*ln2*s6*sinf - 36288000*s7a*sinf + 
    76608000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    219744000*s6*z2 + 34675200*li4half*z2^2 - 2083200*ln2^4*z2^2 + 
    30223200*ln2^2*z2^3 + 25418400*ln2*sinf*z2^3 - 23947596*z2^4 - 
    64512000*li5half*z3 + 537600*ln2^5*z3 + 42336000*li4half*sinf*z3 + 
    1764000*ln2^4*sinf*z3 - 5376000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 - 
    94323600*ln2*z2^2*z3 - 50072400*sinf*z2^2*z3 + 4536000*ln2^2*z3^2 - 
    13608000*ln2*sinf*z3^2 - 127953000*z2*z3^2 + 18816000*ln2^3*z5 - 
    81144000*ln2^2*sinf*z5 - 325489500*ln2*z2*z5 - 265828500*sinf*z2*z5 + 
    397640250*z3*z5 + 446583375*sinf*z7)/14112000, 
 H[1, -1, 1, 0, 1, 0, 0, -1, 1] -> 
  (197568000*li4half^2 + 16464000*li4half*ln2^4 + 343000*ln2^8 - 
    130032000*ln2^2*s6 + 54432000*ln2*s7a + 153216000*ln2*s7b + 
    77743575*s8a + 241416000*s8b + 10080000*s8c + 116928000*s8d + 
    28224000*ln2*s6*sinf - 169344000*s7a*sinf + 112896000*s7b*sinf - 
    169344000*li6half*z2 - 70560000*li4half*ln2^2*z2 - 3175200*ln2^6*z2 - 
    307944000*s6*z2 + 112896000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*
     z2 + 1411200*ln2^5*sinf*z2 - 114912000*li4half*z2^2 + 
    4032000*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 + 116608800*ln2^2*z2^3 + 
    67149600*ln2*sinf*z2^3 - 28761048*z2^4 - 290304000*li5half*z3 + 
    246960000*li4half*ln2*z3 + 12709200*ln2^5*z3 - 49392000*li4half*sinf*z3 - 
    2058000*ln2^4*sinf*z3 - 87108000*ln2^3*z2*z3 + 
    10584000*ln2^2*sinf*z2*z3 - 259295400*ln2*z2^2*z3 - 
    16228800*sinf*z2^2*z3 + 119101500*ln2^2*z3^2 - 106722000*ln2*sinf*z3^2 - 
    69300000*z2*z3^2 - 98931000*ln2^3*z5 - 278271000*ln2^2*sinf*z5 - 
    473697000*ln2*z2*z5 - 435708000*sinf*z2*z5 + 671666625*z3*z5 + 
    1170390375*ln2*z7 + 433282500*sinf*z7)/28224000, 
 H[1, -1, 1, 0, 1, 0, -1, 1, 1] -> (12096000*li4half^2 + 193536000*li8half - 
    80640000*li6half*ln2^2 - 21504000*li5half*ln2^3 + 1008000*li4half*ln2^4 + 
    93000*ln2^8 - 109872000*ln2^2*s6 + 156069900*s8a + 566496000*s8b + 
    129024000*s8c + 16128000*s8d - 96768000*li7half*sinf - 
    129024000*li6half*ln2*sinf - 32256000*li5half*ln2^2*sinf + 
    108800*ln2^7*sinf - 33408000*ln2*s6*sinf - 31104000*s7a*sinf + 
    39456000*s7b*sinf + 80640000*li6half*z2 + 16128000*li5half*ln2*z2 - 
    6048000*li4half*ln2^2*z2 - 520800*ln2^6*z2 - 59472000*s6*z2 + 
    32256000*li5half*sinf*z2 + 12096000*li4half*ln2*sinf*z2 - 
    168000*ln2^5*sinf*z2 + 1411200*li4half*z2^2 + 6056400*ln2^4*z2^2 + 
    8030400*ln2^3*sinf*z2^2 + 28180800*ln2^2*z2^3 + 22903200*ln2*sinf*z2^3 - 
    16147656*z2^4 - 92736000*li5half*z3 - 168000*ln2^5*z3 - 
    13104000*li4half*sinf*z3 - 1722000*ln2^4*sinf*z3 - 2856000*ln2^3*z2*z3 + 
    4284000*ln2^2*sinf*z2*z3 - 93492000*ln2*z2^2*z3 - 4816800*sinf*z2^2*z3 - 
    28665000*ln2^2*z3^2 - 19476000*ln2*sinf*z3^2 - 140175000*z2*z3^2 - 
    6972000*ln2^3*z5 - 78813000*ln2^2*sinf*z5 - 344232000*ln2*z2*z5 - 
    107649000*sinf*z2*z5 + 169753500*z3*z5 + 203164875*sinf*z7)/8064000, 
 H[1, -1, 1, 0, 1, 0, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    1008000*ln2^2*s6 - 1573425*s8a + 29568000*s8b - 2016000*s8c + 
    2016000*s8d - 6720000*ln2*s6*sinf + 6720000*s7a*sinf + 6720000*s7b*sinf - 
    84672000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    4704000*li4half*ln2^2*z2 + 156800*ln2^6*z2 - 30492000*s6*z2 - 
    18816000*li5half*sinf*z2 - 9408000*li4half*ln2*sinf*z2 - 
    235200*ln2^5*sinf*z2 + 5460000*li4half*z2^2 + 227500*ln2^4*z2^2 + 
    784000*ln2^3*sinf*z2^2 - 453600*ln2^2*z2^3 - 1974000*ln2*sinf*z2^3 + 
    14401572*z2^4 + 28896000*li5half*z3 - 240800*ln2^5*z3 + 
    25872000*li4half*sinf*z3 + 1078000*ln2^4*sinf*z3 - 2100000*ln2^3*z2*z3 - 
    7056000*ln2^2*sinf*z2*z3 - 592200*ln2*z2^2*z3 - 14133000*sinf*z2^2*z3 + 
    4252500*ln2^2*z3^2 + 16338000*ln2*sinf*z3^2 + 2724750*z2*z3^2 + 
    3136000*ln2^3*z5 + 4704000*ln2^2*sinf*z5 - 2919000*ln2*z2*z5 - 
    24297000*sinf*z2*z5 + 2134125*z3*z5 + 88039875*sinf*z7)/4704000, 
 H[1, -1, 1, 0, 1, 0, -1, -1, 1] -> 
  (-225792000*li8half + 903168000*li7half*ln2 + 564480000*li6half*ln2^2 + 
    150528000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 520800*ln2^8 + 
    44352000*ln2^2*s6 + 185472000*ln2*s7a - 252000000*ln2*s7b + 
    52899525*s8a - 416808000*s8b - 50400000*s8c + 78624000*s8d + 
    1580544000*li7half*sinf + 903168000*li6half*ln2*sinf + 
    225792000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    627200*ln2^7*sinf + 120960000*ln2*s6*sinf + 104832000*s7a*sinf - 
    374976000*s7b*sinf - 451584000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 7212800*ln2^6*z2 - 284256000*s6*z2 - 
    112896000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    6585600*ln2^5*sinf*z2 - 30844800*li4half*z2^2 + 22234800*ln2^4*z2^2 + 
    18816000*ln2^3*sinf*z2^2 + 41882400*ln2^2*z2^3 + 32760000*ln2*sinf*z2^3 - 
    54545976*z2^4 + 294336000*li5half*z3 + 451584000*li4half*ln2*z3 + 
    22948800*ln2^5*z3 + 49392000*li4half*sinf*z3 + 10290000*ln2^4*sinf*z3 - 
    162456000*ln2^3*z2*z3 - 74088000*ln2^2*sinf*z2*z3 - 
    13091400*ln2*z2^2*z3 + 81522000*sinf*z2^2*z3 + 441346500*ln2^2*z3^2 + 
    252756000*ln2*sinf*z3^2 - 78844500*z2*z3^2 + 381465000*ln2^3*z5 + 
    401310000*ln2^2*sinf*z5 + 1059471000*ln2*z2*z5 + 1207332000*sinf*z2*z5 + 
    662594625*z3*z5 - 1266197625*ln2*z7 - 3434712750*sinf*z7)/56448000, 
 H[1, -1, 1, 0, 1, -1, 1, 1, 1] -> 
  (-24192000*li4half^2 - 1290240000*li8half + 16128000*li6half*ln2^2 + 
    32400*ln2^8 + 178416000*ln2^2*s6 - 513720900*s8a - 3165120000*s8b - 
    354816000*s8c - 294336000*s8d + 290304000*li7half*sinf + 
    32256000*li6half*ln2*sinf + 2688000*li5half*ln2^2*sinf + 
    2688000*li4half*ln2^3*sinf + 76800*ln2^7*sinf - 60768000*ln2*s6*sinf + 
    62784000*s7a*sinf - 69600000*s7b*sinf - 16128000*li6half*z2 - 
    638400*ln2^6*z2 + 912240000*s6*z2 - 2688000*li5half*sinf*z2 - 
    8064000*li4half*ln2*sinf*z2 - 1232000*ln2^5*sinf*z2 - 
    58867200*li4half*z2^2 + 11407200*ln2^4*z2^2 + 11972800*ln2^3*sinf*z2^2 - 
    21727200*ln2^2*z2^3 + 22471200*ln2*sinf*z2^3 + 89247216*z2^4 + 
    588672000*li5half*z3 - 4905600*ln2^5*z3 + 14112000*li4half*sinf*z3 + 
    588000*ln2^4*sinf*z3 + 43176000*ln2^3*z2*z3 - 7056000*ln2^2*sinf*z2*z3 + 
    407685600*ln2*z2^2*z3 + 15423600*sinf*z2^2*z3 + 49077000*ln2^2*z3^2 + 
    76842000*ln2*sinf*z3^2 + 378063000*z2*z3^2 + 7406000*ln2^3*z5 + 
    135450000*ln2^2*sinf*z5 + 1042230000*ln2*z2*z5 + 201384000*sinf*z2*z5 - 
    462819000*z3*z5 - 593246625*sinf*z7)/2688000, 
 H[1, -1, 1, 0, 1, -1, 1, 0, 1] -> (9072000*li4half^2 + 967680000*li8half - 
    48384000*li6half*ln2^2 - 5376000*li5half*ln2^3 + 756000*li4half*ln2^4 + 
    17350*ln2^8 - 154224000*ln2^2*s6 + 385290675*s8a + 2373840000*s8b + 
    266112000*s8c + 220752000*s8d - 387072000*li7half*sinf - 
    96768000*li6half*ln2*sinf - 8064000*li5half*ln2^2*sinf + 
    9600*ln2^7*sinf + 41184000*ln2*s6*sinf - 83520000*s7a*sinf + 
    105984000*s7b*sinf - 48384000*li6half*z2 - 12096000*li5half*ln2*z2 + 
    1512000*li4half*ln2^2*z2 - 15400*ln2^6*z2 - 716184000*s6*z2 + 
    3024000*li4half*ln2*sinf*z2 - 142800*ln2^5*sinf*z2 + 
    41882400*li4half*z2^2 - 4181100*ln2^4*z2^2 - 7257600*ln2^3*sinf*z2^2 + 
    26747400*ln2^2*z2^3 - 19182000*ln2*sinf*z2^3 - 59046762*z2^4 - 
    435456000*li5half*z3 + 3628800*ln2^5*z3 - 6048000*li4half*sinf*z3 - 
    252000*ln2^4*sinf*z3 - 35616000*ln2^3*z2*z3 + 2520000*ln2^2*sinf*z2*z3 - 
    300862800*ln2*z2^2*z3 - 28404000*sinf*z2^2*z3 - 29358000*ln2^2*z3^2 - 
    88272000*ln2*sinf*z3^2 - 277074000*z2*z3^2 + 3192000*ln2^3*z5 - 
    178794000*ln2^2*sinf*z5 - 778995000*ln2*z2*z5 - 314352000*sinf*z2*z5 + 
    356335875*z3*z5 + 877320000*sinf*z7)/2016000, 
 H[1, -1, 1, 0, 1, -1, 1, -1, 1] -> 
  (8820000000*li8half + 169344000*li7half*ln2 - 112896000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 5292000*li4half*ln2^4 - 270550*ln2^8 - 
    1283688000*ln2^2*s6 - 12096000*ln2*s7a - 82656000*ln2*s7b + 
    3582206775*s8a + 21687624000*s8b + 2535120000*s8c + 1934856000*s8d - 
    1806336000*li7half*sinf - 225792000*li6half*ln2*sinf - 
    7056000*li4half*ln2^3*sinf - 249200*ln2^7*sinf + 314496000*ln2*s6*sinf - 
    370944000*s7a*sinf + 475776000*s7b*sinf + 112896000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 31752000*li4half*ln2^2*z2 + 5458600*ln2^6*z2 - 
    6076476000*s6*z2 + 21168000*li4half*ln2*sinf*z2 + 6879600*ln2^5*sinf*z2 + 
    396496800*li4half*z2^2 - 78323700*ln2^4*z2^2 - 66385200*ln2^3*sinf*z2^2 + 
    173174400*ln2^2*z2^3 - 120330000*ln2*sinf*z2^3 - 572546376*z2^4 - 
    3855600000*li5half*z3 - 84672000*li4half*ln2*z3 + 28602000*ln2^5*z3 - 
    10584000*li4half*sinf*z3 - 441000*ln2^4*sinf*z3 - 273672000*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 - 2753459100*ln2*z2^2*z3 - 
    133698600*sinf*z2^2*z3 - 357950250*ln2^2*z3^2 - 436338000*ln2*sinf*z3^2 - 
    2745965250*z2*z3^2 + 49980000*ln2^3*z5 - 827316000*ln2^2*sinf*z5 - 
    7305228000*ln2*z2*z5 - 1416996000*sinf*z2*z5 + 3325872375*z3*z5 - 
    636559875*ln2*z7 + 4014486000*sinf*z7)/14112000, 
 H[1, -1, 1, 0, 1, -1, 0, 1, 1] -> 
  (592704000*li4half^2 - 9031680000*li8half + 1354752000*li6half*ln2^2 + 
    301056000*li5half*ln2^3 + 49392000*li4half*ln2^4 + 177800*ln2^8 + 
    2253888000*ln2^2*s6 - 3751731900*s8a - 22123584000*s8b - 2814336000*s8c - 
    1786176000*s8d + 5419008000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf - 1075200*ln2^7*sinf + 
    552384000*ln2*s6*sinf + 1141056000*s7a*sinf - 1808352000*s7b*sinf - 
    4064256000*li6half*z2 - 1128960000*li5half*ln2*z2 - 
    98784000*li4half*ln2^2*z2 + 2783200*ln2^6*z2 + 3558240000*s6*z2 + 
    451584000*li5half*sinf*z2 + 395136000*li4half*ln2*sinf*z2 + 
    16464000*ln2^5*sinf*z2 - 643708800*li4half*z2^2 - 55633200*ln2^4*z2^2 - 
    71736000*ln2^3*sinf*z2^2 - 121514400*ln2^2*z2^3 + 
    36943200*ln2*sinf*z2^3 + 1008527256*z2^4 + 3487680000*li5half*z3 - 
    29064000*ln2^5*z3 - 246960000*li4half*sinf*z3 - 10290000*ln2^4*sinf*z3 + 
    351792000*ln2^3*z2*z3 + 153468000*ln2^2*sinf*z2*z3 + 
    2856168000*ln2*z2^2*z3 + 594165600*sinf*z2^2*z3 + 89712000*ln2^2*z3^2 + 
    814212000*ln2*sinf*z3^2 + 4130532000*z2*z3^2 - 480396000*ln2^3*z5 + 
    2136645000*ln2^2*sinf*z5 + 10212300000*ln2*z2*z5 + 
    5260437000*sinf*z2*z5 - 4067059500*z3*z5 - 14523917625*sinf*z7)/56448000, 
 H[1, -1, 1, 0, 1, -1, 0, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    149184000*ln2^2*s6 + 271950525*s8a + 1092924000*s8b + 241920000*s8c + 
    54432000*s8d - 28224000*ln2*s6*sinf - 28224000*s7a*sinf + 
    56448000*s7b*sinf + 677376000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    63504000*li4half*ln2^2*z2 + 764400*ln2^6*z2 + 138096000*s6*z2 + 
    112896000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 + 9475200*li4half*z2^2 - 11071200*ln2^4*z2^2 - 
    13524000*ln2^3*sinf*z2^2 + 76994400*ln2^2*z2^3 + 56540400*ln2*sinf*z2^3 - 
    62439366*z2^4 - 292320000*li5half*z3 + 2436000*ln2^5*z3 + 
    17640000*li4half*sinf*z3 + 735000*ln2^4*sinf*z3 - 27888000*ln2^3*z2*z3 - 
    9702000*ln2^2*sinf*z2*z3 - 314370000*ln2*z2^2*z3 - 
    28488600*sinf*z2^2*z3 - 21451500*ln2^2*z3^2 - 10143000*ln2*sinf*z3^2 - 
    404806500*z2*z3^2 + 20433000*ln2^3*z5 - 51376500*ln2^2*sinf*z5 - 
    1122439500*ln2*z2*z5 - 310905000*sinf*z2*z5 + 707490000*z3*z5 + 
    318071250*sinf*z7)/14112000, H[1, -1, 1, 0, 1, -1, 0, -1, 1] -> 
  (790272000*li4half^2 + 6773760000*li8half - 1806336000*li7half*ln2 - 
    1354752000*li6half*ln2^2 - 301056000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 173600*ln2^8 - 1891008000*ln2^2*s6 - 
    116928000*ln2*s7a + 772128000*ln2*s7b + 3431584800*s8a + 
    19633824000*s8b + 2548224000*s8c + 1685376000*s8d - 
    7225344000*li7half*sinf - 2709504000*li6half*ln2*sinf - 
    451584000*li5half*ln2^2*sinf - 75264000*li4half*ln2^3*sinf - 
    1702400*ln2^7*sinf + 241920000*ln2*s6*sinf - 1709568000*s7a*sinf + 
    2128896000*s7b*sinf + 790272000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 5487552000*s6*z2 + 
    903168000*li5half*sinf*z2 + 423360000*li4half*ln2*sinf*z2 + 
    17640000*ln2^5*sinf*z2 - 154022400*li4half*z2^2 - 64512000*ln2^4*z2^2 - 
    126537600*ln2^3*sinf*z2^2 + 657518400*ln2^2*z2^3 + 
    1713600*ln2*sinf*z2^3 - 318588912*z2^4 - 5459328000*li5half*z3 + 
    134064000*li4half*ln2*z3 + 51080400*ln2^5*z3 - 
    211680000*li4half*sinf*z3 - 8820000*ln2^4*sinf*z3 - 
    483756000*ln2^3*z2*z3 + 59976000*ln2^2*sinf*z2*z3 - 
    3740385600*ln2*z2^2*z3 - 534088800*sinf*z2^2*z3 - 228438000*ln2^2*z3^2 - 
    1584828000*ln2*sinf*z3^2 - 2667042000*z2*z3^2 - 563157000*ln2^3*z5 - 
    3271338000*ln2^2*sinf*z5 - 10670877000*ln2*z2*z5 - 
    7252938000*sinf*z2*z5 + 5607378000*z3*z5 + 6146004375*ln2*z7 + 
    17071362000*sinf*z7)/56448000, H[1, -1, 1, 0, 1, -1, -1, 1, 1] -> 
  (733824000*li8half + 338688000*li6half*ln2^2 + 112896000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 1334200*ln2^8 + 201600000*ln2^2*s6 + 
    452500650*s8a + 1922256000*s8b + 274176000*s8c + 191520000*s8d - 
    169344000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    1612800*ln2^7*sinf + 368928000*ln2*s6*sinf - 30240000*s7a*sinf + 
    54432000*s7b*sinf - 338688000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 10309600*ln2^6*z2 - 954576000*s6*z2 - 
    112896000*li5half*sinf*z2 + 9643200*ln2^5*sinf*z2 + 
    17136000*li4half*z2^2 - 67258800*ln2^4*z2^2 - 43982400*ln2^3*sinf*z2^2 - 
    9676800*ln2^2*z2^3 - 52164000*ln2*sinf*z2^3 - 47104416*z2^4 - 
    16128000*li5half*z3 - 4804800*ln2^5*z3 + 21168000*li4half*sinf*z3 - 
    5292000*ln2^4*sinf*z3 + 48048000*ln2^3*z2*z3 + 
    31752000*ln2^2*sinf*z2*z3 - 142783200*ln2*z2^2*z3 - 
    27291600*sinf*z2^2*z3 - 313740000*ln2^2*z3^2 - 183330000*ln2*sinf*z3^2 - 
    16884000*z2*z3^2 - 310464000*ln2^3*z5 - 465696000*ln2^2*sinf*z5 - 
    55188000*ln2*z2*z5 + 221130000*sinf*z2*z5 - 282633750*z3*z5 - 
    15238125*sinf*z7)/56448000, H[1, -1, 1, 0, 1, -1, -1, 0, 1] -> 
  (-338688000*li4half^2 - 13547520000*li8half + 677376000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 - 28224000*li4half*ln2^4 - 610400*ln2^8 + 
    2210544000*ln2^2*s6 - 5693336775*s8a - 34848072000*s8b - 3913056000*s8c - 
    3368736000*s8d + 5419008000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 134400*ln2^7*sinf - 
    681408000*ln2*s6*sinf + 1189440000*s7a*sinf - 1491840000*s7b*sinf + 
    1185408000*li6half*z2 + 225792000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 3371200*ln2^6*z2 + 11281536000*s6*z2 - 
    141120000*li4half*ln2*sinf*z2 - 2116800*ln2^5*sinf*z2 - 
    512870400*li4half*z2^2 + 98935200*ln2^4*z2^2 + 
    136886400*ln2^3*sinf*z2^2 - 520615200*ln2^2*z2^3 + 
    266851200*ln2*sinf*z2^3 + 817264776*z2^4 + 6737472000*li5half*z3 - 
    56145600*ln2^5*z3 + 134064000*li4half*sinf*z3 + 5586000*ln2^4*sinf*z3 + 
    497364000*ln2^3*z2*z3 - 74088000*ln2^2*sinf*z2*z3 + 
    4471878600*ln2*z2^2*z3 + 364518000*sinf*z2^2*z3 + 491620500*ln2^2*z3^2 + 
    1369494000*ln2*sinf*z3^2 + 3782173500*z2*z3^2 - 16464000*ln2^3*z5 + 
    2572794000*ln2^2*sinf*z5 + 10896858000*ln2*z2*z5 + 
    4248216000*sinf*z2*z5 - 5451397875*z3*z5 - 11950281000*sinf*z7)/56448000, 
 H[1, -1, 1, 0, 1, -1, -1, -1, 1] -> 
  (84672000*li4half^2 - 9483264000*li8half - 903168000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 992600*ln2^8 + 959616000*ln2^2*s6 - 
    185472000*ln2*s7a + 252000000*ln2*s7b - 3057062400*s8a - 
    19811232000*s8b - 2169216000*s8c - 1669248000*s8d + 
    1072512000*li7half*sinf - 112896000*li6half*ln2*sinf - 
    56448000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    884800*ln2^7*sinf - 280224000*ln2*s6*sinf - 2016000*s7a*sinf - 
    171360000*s7b*sinf + 56448000*li6half*z2 + 169344000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 10074400*ln2^6*z2 + 5398848000*s6*z2 + 
    112896000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 - 
    9408000*ln2^5*sinf*z2 - 388886400*li4half*z2^2 + 93046800*ln2^4*z2^2 + 
    59740800*ln2^3*sinf*z2^2 + 13507200*ln2^2*z2^3 + 
    168890400*ln2*sinf*z2^3 + 514512216*z2^4 + 2957472000*li5half*z3 + 
    56448000*li4half*ln2*z3 - 17354400*ln2^5*z3 - 14112000*li4half*sinf*z3 + 
    5586000*ln2^4*sinf*z3 + 150024000*ln2^3*z2*z3 - 
    45864000*ln2^2*sinf*z2*z3 + 2143083600*ln2*z2^2*z3 + 
    50853600*sinf*z2^2*z3 + 394915500*ln2^2*z3^2 + 236061000*ln2*sinf*z3^2 + 
    2186761500*z2*z3^2 - 259161000*ln2^3*z5 + 328986000*ln2^2*sinf*z5 + 
    5451201000*ln2*z2*z5 + 371070000*sinf*z2*z5 - 1232122500*z3*z5 + 
    2610365625*ln2*z7 - 1937336625*sinf*z7)/56448000, 
 H[1, -1, 1, 0, 0, 1, 1, 1, 1] -> 
  (225792000*li8half - 56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    84000*ln2^8 - 23688000*ln2^2*s6 + 72404325*s8a + 143640000*s8b + 
    40320000*s8c - 61488000*s8d - 169344000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf + 
    112000*ln2^7*sinf - 16128000*ln2*s6*sinf + 9072000*s7a*sinf + 
    2016000*s7b*sinf + 56448000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    940800*ln2^6*z2 + 137088000*s6*z2 + 28224000*li5half*sinf*z2 - 
    940800*ln2^5*sinf*z2 + 21571200*li4half*z2^2 + 4426800*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 - 13893600*ln2^2*z2^3 - 8282400*ln2*sinf*z2^3 - 
    38466348*z2^4 + 24192000*li5half*z3 + 1444800*ln2^5*z3 + 
    2058000*ln2^4*sinf*z3 - 5040000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 - 
    78472800*ln2*z2^2*z3 - 33213600*sinf*z2^2*z3 - 2583000*ln2^2*z3^2 + 
    17514000*ln2*sinf*z3^2 + 25767000*z2*z3^2 - 5145000*ln2^3*z5 - 
    882000*ln2^2*sinf*z5 - 105525000*ln2*z2*z5 + 2016000*sinf*z2*z5 - 
    59275125*z3*z5 + 232540875*sinf*z7)/28224000, 
 H[1, -1, 1, 0, 0, 1, 1, 0, 1] -> (604800*ln2^2*s6 - 10114650*s8a + 
    32558400*s8b - 6854400*s8c + 23788800*s8d + 2016000*ln2*s6*sinf - 
    7660800*s7a*sinf + 3628800*s7b*sinf - 22579200*li6half*z2 - 
    16934400*li5half*ln2*z2 + 109760*ln2^6*z2 - 60278400*s6*z2 - 
    5644800*li5half*sinf*z2 + 47040*ln2^5*sinf*z2 - 3709440*li4half*z2^2 - 
    1095360*ln2^4*z2^2 - 470400*ln2^3*sinf*z2^2 + 4223520*ln2^2*z2^3 + 
    897120*ln2*sinf*z2^3 + 3720744*z2^4 - 29232000*li5half*z3 + 
    243600*ln2^5*z3 + 1680000*ln2^3*z2*z3 + 2469600*ln2^2*sinf*z2*z3 + 
    4372200*ln2*z2^2*z3 + 5977440*sinf*z2^2*z3 + 1713600*ln2^2*z3^2 - 
    8076600*ln2*sinf*z3^2 + 9198000*z2*z3^2 + 940800*ln2^3*z5 - 
    9525600*ln2^2*sinf*z5 + 34278300*ln2*z2*z5 - 6911100*sinf*z2*z5 + 
    905625*z3*z5 - 7652925*sinf*z7)/5644800, 
 H[1, -1, 1, 0, 0, 1, 1, -1, 1] -> (84672000*li4half^2 - 1016064000*li8half - 
    225792000*li7half*ln2 + 112896000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 597800*ln2^8 + 
    171360000*ln2^2*s6 + 56448000*ln2*s7a + 169344000*ln2*s7b - 
    428127525*s8a - 2009448000*s8b - 356832000*s8c - 24192000*s8d + 
    112896000*li7half*sinf + 225792000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    604800*ln2^7*sinf + 64512000*ln2*s6*sinf + 34272000*s7a*sinf - 
    8064000*s7b*sinf - 112896000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    2195200*ln2^6*z2 + 189504000*s6*z2 - 56448000*li5half*sinf*z2 - 
    56448000*li4half*ln2*sinf*z2 - 6115200*ln2^5*sinf*z2 - 
    106444800*li4half*z2^2 - 554400*ln2^4*z2^2 + 6585600*ln2^3*sinf*z2^2 + 
    17404800*ln2^2*z2^3 - 268800*ln2*sinf*z2^3 + 67083456*z2^4 + 
    245952000*li5half*z3 + 373968000*li4half*ln2*z3 + 10239600*ln2^5*z3 + 
    28224000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 - 38892000*ln2^3*z2*z3 - 
    22932000*ln2^2*sinf*z2*z3 + 301959000*ln2*z2^2*z3 + 
    7257600*sinf*z2^2*z3 + 73993500*ln2^2*z3^2 - 50652000*ln2*sinf*z3^2 + 
    376771500*z2*z3^2 - 153762000*ln2^3*z5 - 25578000*ln2^2*sinf*z5 + 
    702702000*ln2*z2*z5 + 91602000*sinf*z2*z5 - 359060625*z3*z5 + 
    591601500*ln2*z7 - 188291250*sinf*z7)/56448000, 
 H[1, -1, 1, 0, 0, 1, 0, 1, 1] -> (-42840000*ln2^2*s6 + 67581675*s8a + 
    322434000*s8b + 50400000*s8c + 34272000*s8d - 12096000*ln2*s6*sinf - 
    23184000*s7a*sinf + 36792000*s7b*sinf + 28224000*li6half*z2 + 
    39200*ln2^6*z2 - 56196000*s6*z2 - 14112000*li5half*sinf*z2 + 
    117600*ln2^5*sinf*z2 + 13204800*li4half*z2^2 - 37800*ln2^4*z2^2 - 
    1176000*ln2^3*sinf*z2^2 + 8299200*ln2^2*z2^3 + 5472600*ln2*sinf*z2^3 - 
    5838957*z2^4 - 40320000*li5half*z3 + 336000*ln2^5*z3 - 
    6300000*ln2^3*z2*z3 - 4410000*ln2^2*sinf*z2*z3 - 45171000*ln2*z2^2*z3 - 
    11812500*sinf*z2^2*z3 - 1023750*ln2^2*z3^2 - 16852500*ln2*sinf*z3^2 - 
    92594250*z2*z3^2 + 19771500*ln2^3*z5 - 28444500*ln2^2*sinf*z5 - 
    210514500*ln2*z2*z5 - 105320250*sinf*z2*z5 + 170013375*z3*z5 + 
    196166250*sinf*z7)/7056000, H[1, -1, 1, 0, 0, 1, 0, 0, 1] -> 
  (7190400*ln2^2*s6 - 11603025*s8a - 57993600*s8b - 8736000*s8c - 
    8198400*s8d + 806400*ln2*s6*sinf + 4838400*s7a*sinf - 6451200*s7b*sinf + 
    22982400*s6*z2 + 1747200*li4half*z2^2 + 72800*ln2^4*z2^2 - 
    4005120*ln2^2*z2^3 - 2039520*ln2*sinf*z2^3 + 65792*z2^4 + 
    14515200*li5half*z3 - 120960*ln2^5*z3 + 1209600*ln2^3*z2*z3 + 
    9470160*ln2*z2^2*z3 + 390600*sinf*z2^2*z3 + 302400*ln2^2*z3^2 + 
    4195800*ln2*sinf*z3^2 + 9109800*z2*z3^2 - 1881600*ln2^3*z5 + 
    8114400*ln2^2*sinf*z5 + 29603700*ln2*z2*z5 + 21375900*sinf*z2*z5 - 
    32312700*z3*z5 - 26667900*sinf*z7)/940800, 
 H[1, -1, 1, 0, 0, 1, 0, -1, 1] -> 
  (-169344000*li4half^2 - 14112000*li4half*ln2^4 - 294000*ln2^8 + 
    288288000*ln2^2*s6 - 44352000*ln2*s7a - 86688000*ln2*s7b - 
    262437525*s8a - 1238832000*s8b - 346752000*s8c + 50400000*s8d + 
    124992000*ln2*s6*sinf + 16128000*s7a*sinf - 266112000*s7b*sinf + 
    56448000*li6half*z2 + 84672000*li4half*ln2^2*z2 + 3606400*ln2^6*z2 + 
    50904000*s6*z2 - 28224000*li5half*sinf*z2 + 235200*ln2^5*sinf*z2 + 
    160372800*li4half*z2^2 - 5077800*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 - 
    137499600*ln2^2*z2^3 - 84436800*ln2*sinf*z2^3 - 173775744*z2^4 - 
    65520000*li5half*z3 - 296352000*li4half*ln2*z3 - 11802000*ln2^5*z3 + 
    79212000*ln2^3*z2*z3 + 15876000*ln2^2*sinf*z2*z3 + 
    290505600*ln2*z2^2*z3 + 59220000*sinf*z2^2*z3 + 43155000*ln2^2*z3^2 + 
    119826000*ln2*sinf*z3^2 + 266679000*z2*z3^2 + 34839000*ln2^3*z5 + 
    264159000*ln2^2*sinf*z5 + 1314747000*ln2*z2*z5 + 868360500*sinf*z2*z5 + 
    139954500*z3*z5 - 32051250*ln2*z7 - 1437801750*sinf*z7)/28224000, 
 H[1, -1, 1, 0, 0, 1, -1, 1, 1] -> (-120960*li4half^2 - 53760*li6half*ln2^2 + 
    17920*li5half*ln2^3 - 10080*li4half*ln2^4 - 434*ln2^8 - 70560*ln2^2*s6 + 
    322560*li7half*sinf + 26880*li5half*ln2^2*sinf - 288*ln2^7*sinf - 
    101760*ln2*s6*sinf - 32640*s7a*sinf + 7680*s7b*sinf + 53760*li6half*z2 - 
    53760*li5half*ln2*z2 - 60480*li4half*ln2^2*z2 + 616*ln2^6*z2 + 
    70560*s6*z2 - 26880*li5half*sinf*z2 + 3808*ln2^5*sinf*z2 + 
    70560*li4half*z2^2 + 8820*ln2^4*z2^2 + 6832*ln2^3*sinf*z2^2 + 
    14576*ln2^2*z2^3 + 55216*ln2*sinf*z2^3 - 21338*z2^4 + 94080*li5half*z3 - 
    784*ln2^5*z3 - 1120*ln2^3*z2*z3 + 26880*ln2^2*sinf*z2*z3 + 
    13944*ln2*z2^2*z3 + 7200*sinf*z2^2*z3 + 33600*ln2^2*z3^2 + 
    6240*ln2*sinf*z3^2 - 80640*z2*z3^2 + 22260*ln2^3*z5 - 
    5670*ln2^2*sinf*z5 - 66780*ln2*z2*z5 - 57210*sinf*z2*z5 + 116865*z3*z5 - 
    245505*sinf*z7)/26880, H[1, -1, 1, 0, 0, 1, -1, 0, 1] -> 
  (169344000*li4half^2 + 14112000*li4half*ln2^4 + 294000*ln2^8 + 
    386064000*ln2^2*s6 - 828490950*s8a - 4097520000*s8b - 602784000*s8c - 
    497952000*s8d - 32256000*ln2*s6*sinf + 201600000*s7a*sinf - 
    193536000*s7b*sinf - 56448000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 4312000*ln2^6*z2 + 1458072000*s6*z2 + 
    28224000*li5half*sinf*z2 - 235200*ln2^5*sinf*z2 - 
    169444800*li4half*z2^2 + 32923800*ln2^4*z2^2 + 34104000*ln2^3*sinf*z2^2 - 
    246405600*ln2^2*z2^3 - 92232000*ln2*sinf*z2^3 + 72345708*z2^4 + 
    904176000*li5half*z3 - 7534800*ln2^5*z3 + 75348000*ln2^3*z2*z3 + 
    746209800*ln2*z2^2*z3 + 36590400*sinf*z2^2*z3 + 53014500*ln2^2*z3^2 + 
    188496000*ln2*sinf*z3^2 + 689566500*z2*z3^2 - 50274000*ln2^3*z5 + 
    307377000*ln2^2*sinf*z5 + 1753447500*ln2*z2*z5 + 587695500*sinf*z2*z5 - 
    1863799875*z3*z5 - 815031000*sinf*z7)/28224000, 
 H[1, -1, 1, 0, 0, 1, -1, -1, 1] -> 
  (-169344000*li4half^2 + 1693440000*li8half + 1128960000*li7half*ln2 + 
    112896000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 582400*ln2^8 - 
    219744000*ln2^2*s6 + 165312000*ln2*s7a - 427392000*ln2*s7b + 
    631838025*s8a + 3952872000*s8b + 264096000*s8c + 568512000*s8d + 
    451584000*li7half*sinf - 56448000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 1164800*ln2^7*sinf + 52416000*ln2*s6*sinf + 
    88704000*s7a*sinf - 419328000*s7b*sinf - 56448000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 274400*ln2^6*z2 - 1623888000*s6*z2 - 
    112896000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    8937600*ln2^5*sinf*z2 + 236476800*li4half*z2^2 + 16203600*ln2^4*z2^2 + 
    25872000*ln2^3*sinf*z2^2 - 7627200*ln2^2*z2^3 - 73214400*ln2*sinf*z2^3 - 
    298045056*z2^4 - 784224000*li5half*z3 - 218736000*li4half*ln2*z3 - 
    2578800*ln2^5*z3 + 28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 + 
    4620000*ln2^3*z2*z3 - 26460000*ln2^2*sinf*z2*z3 - 217967400*ln2*z2^2*z3 + 
    89157600*sinf*z2^2*z3 + 233446500*ln2^2*z3^2 + 281106000*ln2*sinf*z3^2 - 
    382189500*z2*z3^2 + 618576000*ln2^3*z5 + 558747000*ln2^2*sinf*z5 + 
    580923000*ln2*z2*z5 + 1413468000*sinf*z2*z5 + 933510375*z3*z5 - 
    2724435000*ln2*z7 - 2634817500*sinf*z7)/56448000, 
 H[1, -1, 1, 0, 0, 0, 1, 1, 1] -> (30240000*ln2^2*s6 - 35725725*s8a - 
    226632000*s8b - 36960000*s8c - 14784000*s8d + 12096000*ln2*s6*sinf + 
    11424000*s7a*sinf - 26208000*s7b*sinf + 43680000*s6*z2 - 
    134400*li4half*z2^2 - 5600*ln2^4*z2^2 - 7722400*ln2^2*z2^3 - 
    5381600*ln2*sinf*z2^3 - 6255656*z2^4 + 10752000*li5half*z3 - 
    89600*ln2^5*z3 + 4032000*ln2^3*z2*z3 + 4704000*ln2^2*sinf*z2*z3 + 
    37182600*ln2*z2^2*z3 + 7417200*sinf*z2^2*z3 + 1155000*ln2^2*z3^2 + 
    6195000*ln2*sinf*z3^2 + 57120000*z2*z3^2 - 12348000*ln2^3*z5 + 
    17934000*ln2^2*sinf*z5 + 147924000*ln2*z2*z5 + 96684000*sinf*z2*z5 - 
    87625125*z3*z5 - 160978125*sinf*z7)/9408000, 
 H[1, -1, 1, 0, 0, 0, 1, 0, 1] -> (-24864000*ln2^2*s6 + 30979725*s8a + 
    203616000*s8b + 30912000*s8c + 25536000*s8d - 6720000*ln2*s6*sinf - 
    12096000*s7a*sinf + 25536000*s7b*sinf - 76944000*s6*z2 - 
    11827200*li4half*z2^2 - 492800*ln2^4*z2^2 + 12168800*ln2^2*z2^3 + 
    5807200*ln2*sinf*z2^3 + 4201256*z2^4 - 32256000*li5half*z3 + 
    268800*ln2^5*z3 - 2688000*ln2^3*z2*z3 - 32167800*ln2*z2^2*z3 - 
    2490600*sinf*z2^2*z3 - 2142000*ln2^2*z3^2 - 10710000*ln2*sinf*z3^2 - 
    32224500*z2*z3^2 + 6272000*ln2^3*z5 - 27048000*ln2^2*sinf*z5 - 
    104055000*ln2*z2*z5 - 83097000*sinf*z2*z5 + 90223875*z3*z5 + 
    115933125*sinf*z7)/4704000, H[1, -1, 1, 0, 0, 0, 1, -1, 1] -> 
  (-205968000*ln2^2*s6 + 22176000*ln2*s7a - 15456000*ln2*s7b + 
    348734400*s8a + 1700832000*s8b + 306432000*s8c + 145152000*s8d - 
    12768000*ln2*s6*sinf - 48384000*s7a*sinf + 102144000*s7b*sinf - 
    28224000*li5half*ln2*z2 + 235200*ln2^6*z2 - 485520000*s6*z2 + 
    15624000*li4half*z2^2 - 4053000*ln2^4*z2^2 - 3528000*ln2^3*sinf*z2^2 + 
    96216400*ln2^2*z2^3 + 37100000*ln2*sinf*z2^3 + 23037104*z2^4 - 
    271488000*li5half*z3 + 49392000*li4half*ln2*z3 + 4320400*ln2^5*z3 - 
    41440000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 - 
    292152000*ln2*z2^2*z3 - 24544800*sinf*z2^2*z3 - 16621500*ln2^2*z3^2 - 
    62979000*ln2*sinf*z3^2 - 314128500*z2*z3^2 + 42728000*ln2^3*z5 - 
    136416000*ln2^2*sinf*z5 - 926593500*ln2*z2*z5 - 314160000*sinf*z2*z5 + 
    567315000*z3*z5 - 12896625*ln2*z7 + 500629500*sinf*z7)/9408000, 
 H[1, -1, 1, 0, 0, 0, 0, 1, 1] -> (336000*ln2^2*s6 - 492975*s8a - 
    1344000*s8b - 672000*s8c - 672000*s8d - 672000*s7b*sinf + 336000*s6*z2 + 
    672000*li4half*z2^2 + 28000*ln2^4*z2^2 - 285600*ln2^2*z2^3 - 
    117600*ln2*sinf*z2^3 - 207516*z2^4 + 693000*ln2*z2^2*z3 + 
    189000*ln2^2*z3^2 + 189000*ln2*sinf*z3^2 + 556500*z2*z3^2 + 
    210000*ln2^3*z5 + 966000*ln2^2*sinf*z5 + 1386000*ln2*z2*z5 + 
    336000*sinf*z2*z5 - 1225875*z3*z5)/672000, 
 H[1, -1, 1, 0, 0, 0, 0, 0, 1] -> 
  (-5950*s8a - 392000*s8b + 37600*ln2^2*z2^3 + 24800*ln2*sinf*z2^3 + 
    6888*z2^4 + 63000*ln2*z2^2*z3 + 29400*sinf*z2^2*z3 + 31500*z2*z3^2 + 
    157500*ln2*z2*z5 + 52500*sinf*z2*z5 - 56875*z3*z5 - 336000*sinf*z7)/
   112000, H[1, -1, 1, 0, 0, 0, 0, -1, 1] -> 
  (-336000*ln2^2*s6 - 224000*ln2*s7b + 921200*s8a + 4480000*s8b + 
    672000*s8c - 616000*s6*z2 + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 + 
    120400*ln2^2*z2^3 + 39200*ln2*sinf*z2^3 + 257272*z2^4 - 
    336000*li5half*z3 + 2800*ln2^5*z3 - 28000*ln2^3*z2*z3 - 
    347200*ln2*z2^2*z3 - 57400*sinf*z2^2*z3 - 126000*ln2^2*z3^2 - 
    63000*ln2*sinf*z3^2 - 586250*z2*z3^2 + 147000*ln2^3*z5 - 
    105000*ln2^2*sinf*z5 - 1141000*ln2*z2*z5 - 119000*sinf*z2*z5 - 
    518875*z3*z5 - 4226250*ln2*z7 + 441000*sinf*z7)/224000, 
 H[1, -1, 1, 0, 0, 0, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    157248000*ln2^2*s6 - 305834550*s8a - 1456728000*s8b - 253344000*s8c - 
    132384000*s8d - 12096000*ln2*s6*sinf + 49728000*s7a*sinf - 
    77280000*s7b*sinf + 28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    823200*ln2^6*z2 + 427056000*s6*z2 - 32121600*li4half*z2^2 + 
    5129600*ln2^4*z2^2 + 3528000*ln2^3*sinf*z2^2 - 81183200*ln2^2*z2^3 - 
    31460800*ln2*sinf*z2^3 - 10390528*z2^4 + 234192000*li5half*z3 - 
    1951600*ln2^5*z3 + 27160000*ln2^3*z2*z3 + 14112000*ln2^2*sinf*z2*z3 + 
    242982600*ln2*z2^2*z3 + 18102000*sinf*z2^2*z3 + 35112000*ln2^2*z3^2 + 
    52458000*ln2*sinf*z3^2 + 271593000*z2*z3^2 + 6272000*ln2^3*z5 + 
    132447000*ln2^2*sinf*z5 + 776275500*ln2*z2*z5 + 221571000*sinf*z2*z5 - 
    514917375*z3*z5 - 336745500*sinf*z7)/9408000, 
 H[1, -1, 1, 0, 0, 0, -1, 0, 1] -> (-5107200*ln2^2*s6 + 7581000*s8a + 
    35683200*s8b + 6451200*s8c + 4838400*s8d - 1344000*ln2*s6*sinf - 
    2419200*s7a*sinf + 5107200*s7b*sinf - 16027200*s6*z2 - 
    1995840*li4half*z2^2 - 83160*ln2^4*z2^2 + 2492000*ln2^2*z2^3 + 
    1244320*ln2*sinf*z2^3 - 206266*z2^4 - 6854400*li5half*z3 + 
    57120*ln2^5*z3 - 571200*ln2^3*z2*z3 - 6466320*ln2*z2^2*z3 - 
    568680*sinf*z2^2*z3 - 554400*ln2^2*z3^2 - 2318400*ln2*sinf*z3^2 - 
    5198550*z2*z3^2 + 1176000*ln2^3*z5 - 5527200*ln2^2*sinf*z5 - 
    13444200*ln2*z2*z5 - 13855800*sinf*z2*z5 + 18322500*z3*z5 + 
    18769275*sinf*z7)/940800, H[1, -1, 1, 0, 0, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    17472000*ln2^2*s6 + 2688000*ln2*s7a + 49728000*ln2*s7b - 16480800*s8a - 
    65184000*s8b + 6048000*s8c - 29568000*s8d - 12096000*ln2*s6*sinf + 
    12096000*s7a*sinf + 35616000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 + 70896000*s6*z2 - 27081600*li4half*z2^2 + 
    635600*ln2^4*z2^2 + 15125600*ln2^2*z2^3 + 11048800*ln2*sinf*z2^3 + 
    24164152*z2^4 + 56784000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    1584800*ln2^5*z3 - 9184000*ln2^3*z2*z3 - 2352000*ln2^2*sinf*z2*z3 - 
    12343800*ln2*z2^2*z3 - 8299200*sinf*z2^2*z3 - 18438000*ln2^2*z3^2 - 
    18102000*ln2*sinf*z3^2 + 10384500*z2*z3^2 - 57918000*ln2^3*z5 - 
    41307000*ln2^2*sinf*z5 - 151431000*ln2*z2*z5 - 109620000*sinf*z2*z5 - 
    131499375*z3*z5 + 171507000*ln2*z7 + 202377000*sinf*z7)/9408000, 
 H[1, -1, 1, 0, 0, -1, 1, 1, 1] -> (423360000*li4half^2 - 564480000*li8half + 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 525000*ln2^8 + 337680000*ln2^2*s6 - 
    132744150*s8a - 1135008000*s8b - 237888000*s8c - 30240000*s8d + 
    225792000*li7half*sinf + 338688000*li6half*ln2*sinf - 
    18816000*li4half*ln2^3*sinf - 358400*ln2^7*sinf + 268128000*ln2*s6*sinf + 
    169344000*s7a*sinf - 239904000*s7b*sinf - 169344000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 1881600*ln2^6*z2 - 24192000*s6*z2 + 
    56448000*li4half*ln2*sinf*z2 + 940800*ln2^5*sinf*z2 - 
    99187200*li4half*z2^2 - 15069600*ln2^4*z2^2 - 30340800*ln2^3*sinf*z2^2 - 
    71853600*ln2^2*z2^3 - 112509600*ln2*sinf*z2^3 - 16624464*z2^4 - 
    38304000*li5half*z3 + 319200*ln2^5*z3 - 98784000*li4half*sinf*z3 - 
    4116000*ln2^4*sinf*z3 + 27384000*ln2^3*z2*z3 + 
    28224000*ln2^2*sinf*z2*z3 + 88174800*ln2*z2^2*z3 + 
    64386000*sinf*z2^2*z3 - 42840000*ln2^2*z3^2 + 59094000*ln2*sinf*z3^2 + 
    456246000*z2*z3^2 - 167433000*ln2^3*z5 + 206829000*ln2^2*sinf*z5 + 
    1215963000*ln2*z2*z5 + 907137000*sinf*z2*z5 - 445284000*z3*z5 - 
    1532971125*sinf*z7)/56448000, H[1, -1, 1, 0, 0, -1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    65184000*ln2^2*s6 + 127587075*s8a + 680232000*s8b + 102144000*s8c + 
    81312000*s8d + 5376000*ln2*s6*sinf - 33600000*s7a*sinf + 
    32256000*s7b*sinf + 28224000*li6half*z2 - 4704000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 666400*ln2^6*z2 - 220248000*s6*z2 + 
    20848800*li4half*z2^2 - 5403300*ln2^4*z2^2 - 5292000*ln2^3*sinf*z2^2 + 
    42415800*ln2^2*z2^3 + 16858800*ln2*sinf*z2^3 - 5508648*z2^4 - 
    153216000*li5half*z3 + 1276800*ln2^5*z3 - 12768000*ln2^3*z2*z3 - 
    126226800*ln2*z2^2*z3 - 3746400*sinf*z2^2*z3 - 9072000*ln2^2*z3^2 - 
    31416000*ln2*sinf*z3^2 - 120267000*z2*z3^2 + 6811000*ln2^3*z5 - 
    53581500*ln2^2*sinf*z5 - 333810750*ln2*z2*z5 - 105924000*sinf*z2*z5 + 
    299061000*z3*z5 + 133486500*sinf*z7)/4704000, 
 H[1, -1, 1, 0, 0, -1, 1, -1, 1] -> 
  (1128960000*li8half + 225792000*li7half*ln2 - 169344000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 408800*ln2^8 - 632016000*ln2^2*s6 + 
    157248000*ln2*s7a + 143136000*ln2*s7b + 424412100*s8a + 2542176000*s8b + 
    427392000*s8c + 165312000*s8d - 338688000*li6half*ln2*sinf - 
    470400*ln2^7*sinf - 344736000*ln2*s6*sinf - 177408000*s7a*sinf + 
    387072000*s7b*sinf + 169344000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    254016000*li4half*ln2^2*z2 - 4625600*ln2^6*z2 - 365904000*s6*z2 + 
    7056000*ln2^5*sinf*z2 - 26208000*li4half*z2^2 + 30660000*ln2^4*z2^2 + 
    19051200*ln2^3*sinf*z2^2 + 211008000*ln2^2*z2^3 + 
    179894400*ln2*sinf*z2^3 - 9532704*z2^4 - 302400000*li5half*z3 + 
    444528000*li4half*ln2*z3 + 21042000*ln2^5*z3 - 145740000*ln2^3*z2*z3 + 
    70560000*ln2^2*sinf*z2*z3 - 573048000*ln2*z2^2*z3 - 
    83059200*sinf*z2^2*z3 + 151452000*ln2^2*z3^2 - 191772000*ln2*sinf*z3^2 - 
    486360000*z2*z3^2 + 89964000*ln2^3*z5 - 493920000*ln2^2*sinf*z5 - 
    1931076000*ln2*z2*z5 - 1207584000*sinf*z2*z5 + 348642000*z3*z5 + 
    867801375*ln2*z7 + 1898190000*sinf*z7)/56448000, 
 H[1, -1, 1, 0, 0, -1, 0, 1, 1] -> (-12163200*ln2^2*s6 + 13799100*s8a + 
    78489600*s8b + 14918400*s8c + 3897600*s8d - 4569600*ln2*s6*sinf - 
    4838400*s7a*sinf + 9273600*s7b*sinf - 11289600*li6half*z2 - 
    3763200*li5half*ln2*z2 + 15680*ln2^6*z2 - 11088000*s6*z2 + 
    1202880*li4half*z2^2 - 28280*ln2^4*z2^2 + 3598000*ln2^2*z2^3 + 
    2216480*ln2*sinf*z2^3 + 5278668*z2^4 - 5443200*li5half*z3 + 
    45360*ln2^5*z3 - 1864800*ln2^3*z2*z3 - 2116800*ln2^2*sinf*z2*z3 - 
    11423160*ln2*z2^2*z3 - 2383920*sinf*z2^2*z3 - 598500*ln2^2*z3^2 - 
    3049200*ln2*sinf*z3^2 - 23110500*z2*z3^2 + 5664400*ln2^3*z5 - 
    5174400*ln2^2*sinf*z5 - 69951000*ln2*z2*z5 - 35296800*sinf*z2*z5 + 
    34047825*z3*z5 + 57295350*sinf*z7)/1881600, 
 H[1, -1, 1, 0, 0, -1, 0, 0, 1] -> (38304000*ln2^2*s6 - 59882025*s8a - 
    308784000*s8b - 48384000*s8c - 36288000*s8d + 4032000*ln2*s6*sinf + 
    24192000*s7a*sinf - 32256000*s7b*sinf + 105504000*s6*z2 + 
    7560000*li4half*z2^2 + 315000*ln2^4*z2^2 - 18740400*ln2^2*z2^3 - 
    9508800*ln2*sinf*z2^3 - 520084*z2^4 + 65520000*li5half*z3 - 
    546000*ln2^5*z3 + 5460000*ln2^3*z2*z3 + 54495000*ln2*z2^2*z3 + 
    6010200*sinf*z2^2*z3 + 850500*ln2^2*z3^2 + 18333000*ln2*sinf*z3^2 + 
    54589500*z2*z3^2 - 8820000*ln2^3*z5 + 41454000*ln2^2*sinf*z5 + 
    169186500*ln2*z2*z5 + 108937500*sinf*z2*z5 - 174885375*z3*z5 - 
    150281250*sinf*z7)/4704000, H[1, -1, 1, 0, 0, -1, 0, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    15254400*ln2^2*s6 - 3763200*ln2*s7a - 8467200*ln2*s7b - 11202975*s8a - 
    39244800*s8b - 13574400*s8c - 537600*s8d + 6182400*ln2*s6*sinf + 
    3225600*s7a*sinf - 15590400*s7b*sinf - 5644800*li6half*z2 - 
    1881600*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 243040*ln2^6*z2 + 
    4132800*s6*z2 + 9065280*li4half*z2^2 - 367080*ln2^4*z2^2 - 
    7169680*ln2^2*z2^3 - 4615520*ln2*sinf*z2^3 - 2166876*z2^4 + 
    2016000*li5half*z3 - 19756800*li4half*ln2*z3 - 840000*ln2^5*z3 + 
    5499200*ln2^3*z2*z3 + 588000*ln2^2*sinf*z2*z3 + 17627400*ln2*z2^2*z3 + 
    3894240*sinf*z2^2*z3 - 1001700*ln2^2*z3^2 + 7618800*ln2*sinf*z3^2 + 
    12518100*z2*z3^2 + 3753400*ln2^3*z5 + 17022600*ln2^2*sinf*z5 + 
    64052100*ln2*z2*z5 + 48031200*sinf*z2*z5 - 15507975*z3*z5 - 
    61798800*ln2*z7 - 81422250*sinf*z7)/1881600, 
 H[1, -1, 1, 0, 0, -1, -1, 1, 1] -> (24192000*li4half^2 - 16128000*li8half + 
    40320000*li6half*ln2^2 + 2688000*li5half*ln2^3 - 8800*ln2^8 + 
    3024000*ln2^2*s6 + 17265150*s8a + 187488000*s8b + 12096000*s8c + 
    26208000*s8d - 112896000*li7half*sinf + 16128000*li6half*ln2*sinf - 
    2688000*li4half*ln2^3*sinf - 67200*ln2^7*sinf + 20448000*ln2*s6*sinf - 
    18432000*s7a*sinf + 36000000*s7b*sinf - 40320000*li6half*z2 + 
    10080000*li4half*ln2^2*z2 + 263200*ln2^6*z2 - 80640000*s6*z2 - 
    134400*ln2^5*sinf*z2 - 7660800*li4half*z2^2 - 4754400*ln2^4*z2^2 - 
    5745600*ln2^3*sinf*z2^2 - 708000*ln2^2*z2^3 - 13792800*ln2*sinf*z2^3 + 
    9124584*z2^4 - 54432000*li5half*z3 + 924000*ln2^5*z3 + 
    2016000*li4half*sinf*z3 + 672000*ln2^4*sinf*z3 - 8904000*ln2^3*z2*z3 - 
    9576000*ln2^2*sinf*z2*z3 - 29610000*ln2*z2^2*z3 - 13273200*sinf*z2^2*z3 + 
    9072000*ln2^2*z3^2 - 21906000*ln2*sinf*z3^2 - 26334000*z2*z3^2 + 
    23919000*ln2^3*z5 - 25641000*ln2^2*sinf*z5 - 90468000*ln2*z2*z5 - 
    134541000*sinf*z2*z5 + 93334500*z3*z5 + 342842625*sinf*z7)/8064000, 
 H[1, -1, 1, 0, 0, -1, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    58464000*ln2^2*s6 - 80817975*s8a - 425376000*s8b - 88704000*s8c + 
    4032000*s8d + 18144000*ln2*s6*sinf + 10080000*s7a*sinf - 
    46368000*s7b*sinf + 169344000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 13104000*s6*z2 + 
    8568000*li4half*z2^2 + 945000*ln2^4*z2^2 - 38581200*ln2^2*z2^3 - 
    13809600*ln2*sinf*z2^3 - 64100016*z2^4 - 15120000*li5half*z3 + 
    126000*ln2^5*z3 - 49392000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 + 
    19320000*ln2^3*z2*z3 + 24696000*ln2^2*sinf*z2*z3 + 84546000*ln2*z2^2*z3 + 
    40320000*sinf*z2^2*z3 - 5166000*ln2^2*z3^2 - 22680000*ln2*sinf*z3^2 + 
    152523000*z2*z3^2 - 13524000*ln2^3*z5 + 34398000*ln2^2*sinf*z5 + 
    553423500*ln2*z2*z5 + 219996000*sinf*z2*z5 - 221523750*z3*z5 - 
    403562250*sinf*z7)/28224000, H[1, -1, 1, 0, 0, -1, -1, -1, 1] -> 
  (-4032000*li4half^2 - 225792000*li8half - 161280000*li7half*ln2 - 
    40320000*li6half*ln2^2 - 2688000*li5half*ln2^3 - 336000*li4half*ln2^4 - 
    14200*ln2^8 + 70128000*ln2^2*s6 - 24768000*ln2*s7a + 37728000*ln2*s7b - 
    113863050*s8a - 584640000*s8b - 88704000*s8c - 46368000*s8d - 
    48384000*li7half*sinf - 16128000*li6half*ln2*sinf - 12800*ln2^7*sinf + 
    11808000*ln2*s6*sinf + 6336000*s7a*sinf - 9792000*s7b*sinf + 
    8064000*li6half*z2 + 8064000*li5half*ln2*z2 + 10080000*li4half*ln2^2*z2 + 
    464800*ln2^6*z2 + 151200000*s6*z2 + 8064000*li5half*sinf*z2 + 
    8064000*li4half*ln2*sinf*z2 + 403200*ln2^5*sinf*z2 - 
    2419200*li4half*z2^2 - 1864800*ln2^4*z2^2 - 1344000*ln2^3*sinf*z2^2 - 
    20964000*ln2^2*z2^3 - 8318400*ln2*sinf*z2^3 + 13921752*z2^4 + 
    66528000*li5half*z3 - 37296000*li4half*ln2*z3 - 2578800*ln2^5*z3 - 
    4032000*li4half*sinf*z3 - 756000*ln2^4*sinf*z3 + 20916000*ln2^3*z2*z3 + 
    6552000*ln2^2*sinf*z2*z3 + 79344000*ln2*z2^2*z3 + 3974400*sinf*z2^2*z3 - 
    33921000*ln2^2*z3^2 - 2538000*ln2*sinf*z3^2 + 102879000*z2*z3^2 - 
    76650000*ln2^3*z5 + 252000*ln2^2*sinf*z5 + 164547000*ln2*z2*z5 + 
    25110000*sinf*z2*z5 - 132882750*z3*z5 + 264664125*ln2*z7 - 
    3579750*sinf*z7)/8064000, H[1, -1, 1, 0, -1, 1, 1, 1, 1] -> 
  (11289600*li4half^2 + 572006400*li8half + 3763200*li6half*ln2^2 + 
    1254400*li5half*ln2^3 - 10640*ln2^8 - 58262400*ln2^2*s6 + 201973800*s8a + 
    1202745600*s8b + 134400000*s8c + 100800000*s8d - 101606400*li7half*sinf + 
    7526400*li6half*ln2*sinf + 1881600*li5half*ln2^2*sinf - 
    627200*li4half*ln2^3*sinf - 11200*ln2^7*sinf + 31852800*ln2*s6*sinf - 
    13977600*s7a*sinf + 20832000*s7b*sinf - 3763200*li6half*z2 - 
    3763200*li5half*ln2*z2 + 203840*ln2^6*z2 - 328137600*s6*z2 - 
    1881600*li5half*sinf*z2 + 1881600*li4half*ln2*sinf*z2 + 
    297920*ln2^5*sinf*z2 + 20160000*li4half*z2^2 - 4687200*ln2^4*z2^2 - 
    4829440*ln2^3*sinf*z2^2 - 930720*ln2^2*z2^3 - 12280800*ln2*sinf*z2^3 - 
    40420608*z2^4 - 195014400*li5half*z3 + 1954400*ln2^5*z3 - 
    3292800*li4half*sinf*z3 + 274400*ln2^4*sinf*z3 - 16800000*ln2^3*z2*z3 - 
    153619200*ln2*z2^2*z3 - 8788080*sinf*z2^2*z3 - 22045800*ln2^2*z3^2 - 
    23763600*ln2*sinf*z3^2 - 135991800*z2*z3^2 - 9074800*ln2^3*z5 - 
    47334000*ln2^2*sinf*z5 - 375975600*ln2*z2*z5 - 48669600*sinf*z2*z5 + 
    134952300*z3*z5 + 193438875*sinf*z7)/3763200, 
 H[1, -1, 1, 0, -1, 1, 1, 0, 1] -> 
  (84672000*li4half^2 - 13547520000*li8half + 677376000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 124600*ln2^8 + 
    2096640000*ln2^2*s6 - 5169442950*s8a - 30962736000*s8b - 3544128000*s8c - 
    2721600000*s8d + 5419008000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 134400*ln2^7*sinf - 
    433440000*ln2*s6*sinf + 1082592000*s7a*sinf - 1598688000*s7b*sinf + 
    1016064000*li6half*z2 + 366912000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1097600*ln2^6*z2 + 9126432000*s6*z2 + 
    84672000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    5409600*ln2^5*sinf*z2 - 595123200*li4half*z2^2 + 27888000*ln2^4*z2^2 + 
    62798400*ln2^3*sinf*z2^2 - 300804000*ln2^2*z2^3 + 
    236392800*ln2*sinf*z2^3 + 814114248*z2^4 + 5196240000*li5half*z3 + 
    21168000*li4half*ln2*z3 - 42420000*ln2^5*z3 - 112896000*li4half*sinf*z3 - 
    4704000*ln2^4*sinf*z3 + 488292000*ln2^3*z2*z3 + 
    63504000*ln2^2*sinf*z2*z3 + 3877473600*ln2*z2^2*z3 + 
    565992000*sinf*z2^2*z3 + 366313500*ln2^2*z3^2 + 
    1089081000*ln2*sinf*z3^2 + 3699517500*z2*z3^2 - 29106000*ln2^3*z5 + 
    2553831000*ln2^2*sinf*z5 + 10134936000*ln2*z2*z5 + 
    4628673000*sinf*z2*z5 - 4499979750*z3*z5 - 13118639625*sinf*z7)/56448000, 
 H[1, -1, 1, 0, -1, 1, 1, -1, 1] -> 
  (-1524096000*li8half - 225792000*li7half*ln2 - 169344000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 7056000*li4half*ln2^4 - 91000*ln2^8 + 
    230832000*ln2^2*s6 - 56448000*ln2*s7a + 239904000*ln2*s7b - 
    623260575*s8a - 3113208000*s8b - 489888000*s8c - 145152000*s8d - 
    508032000*li7half*sinf - 338688000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf - 604800*ln2^7*sinf - 50400000*ln2*s6*sinf - 
    90720000*s7a*sinf + 120960000*s7b*sinf + 169344000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 + 2391200*ln2^6*z2 + 
    678384000*s6*z2 - 28224000*li5half*sinf*z2 + 7526400*ln2^5*sinf*z2 - 
    50198400*li4half*z2^2 - 25376400*ln2^4*z2^2 + 3292800*ln2^3*sinf*z2^2 + 
    28224000*ln2^2*z2^3 + 2923200*ln2*sinf*z2^3 + 61422768*z2^4 + 
    389088000*li5half*z3 + 148176000*li4half*ln2*z3 - 2007600*ln2^5*z3 - 
    6174000*ln2^4*sinf*z3 + 44772000*ln2^3*z2*z3 + 
    37044000*ln2^2*sinf*z2*z3 + 408756600*ln2*z2^2*z3 - 
    16254000*sinf*z2^2*z3 - 7623000*ln2^2*z3^2 - 125307000*ln2*sinf*z3^2 + 
    478548000*z2*z3^2 - 296793000*ln2^3*z5 - 219618000*ln2^2*sinf*z5 + 
    784791000*ln2*z2*z5 - 347382000*sinf*z2*z5 - 495817875*z3*z5 + 
    1045996875*ln2*z7 + 1037988000*sinf*z7)/56448000, 
 H[1, -1, 1, 0, -1, 1, 0, 1, 1] -> (-42336000*li4half^2 + 903168000*li8half - 
    135475200*li6half*ln2^2 - 30105600*li5half*ln2^3 - 
    3528000*li4half*ln2^4 + 11620*ln2^8 - 210672000*ln2^2*s6 + 
    345317175*s8a + 2148955200*s8b + 252000000*s8c + 191116800*s8d - 
    541900800*li7half*sinf - 270950400*li6half*ln2*sinf - 
    45158400*li5half*ln2^2*sinf + 107520*ln2^7*sinf - 48988800*ln2*s6*sinf - 
    120355200*s7a*sinf + 166118400*s7b*sinf + 372556800*li6half*z2 + 
    90316800*li5half*ln2*z2 + 1411200*li4half*ln2^2*z2 - 490000*ln2^6*z2 - 
    386467200*s6*z2 - 28224000*li5half*sinf*z2 - 22579200*li4half*ln2*sinf*
     z2 - 1081920*ln2^5*sinf*z2 + 62637120*li4half*z2^2 + 
    5373480*ln2^4*z2^2 + 4351200*ln2^3*sinf*z2^2 + 8018640*ln2^2*z2^3 - 
    7479360*ln2*sinf*z2^3 - 102007476*z2^4 - 393523200*li5half*z3 - 
    4233600*li4half*ln2*z3 + 3102960*ln2^5*z3 + 14112000*li4half*sinf*z3 + 
    588000*ln2^4*sinf*z3 - 31500000*ln2^3*z2*z3 - 3175200*ln2^2*sinf*z2*z3 - 
    279515880*ln2*z2^2*z3 - 53262720*sinf*z2^2*z3 - 2538900*ln2^2*z3^2 - 
    84646800*ln2*sinf*z3^2 - 366590700*z2*z3^2 + 50391600*ln2^3*z5 - 
    201933900*ln2^2*sinf*z5 - 907174800*ln2*z2*z5 - 492162300*sinf*z2*z5 + 
    386928675*z3*z5 + 1362817575*sinf*z7)/5644800, 
 H[1, -1, 1, 0, -1, 1, 0, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    43344000*ln2^2*s6 - 69421275*s8a - 309960000*s8b - 70560000*s8c - 
    14112000*s8d + 8064000*ln2*s6*sinf + 8064000*s7a*sinf - 
    16128000*s7b*sinf - 193536000*li6half*z2 - 96768000*li5half*ln2*z2 - 
    12096000*li4half*ln2^2*z2 + 33600*ln2^6*z2 - 42336000*s6*z2 - 
    32256000*li5half*sinf*z2 - 8064000*li4half*ln2*sinf*z2 - 
    67200*ln2^5*sinf*z2 + 5745600*li4half*z2^2 + 2759400*ln2^4*z2^2 + 
    3864000*ln2^3*sinf*z2^2 - 22551600*ln2^2*z2^3 - 15266400*ln2*sinf*z2^3 + 
    10565616*z2^4 + 80640000*li5half*z3 - 9072000*li4half*ln2*z3 - 
    1050000*ln2^5*z3 + 4032000*li4half*sinf*z3 + 168000*ln2^4*sinf*z3 + 
    9492000*ln2^3*z2*z3 - 252000*ln2^2*sinf*z2*z3 + 83298600*ln2*z2^2*z3 + 
    756000*sinf*z2^2*z3 + 10111500*ln2^2*z3^2 + 10458000*ln2*sinf*z3^2 + 
    106123500*z2*z3^2 - 7182000*ln2^3*z5 + 12663000*ln2^2*sinf*z5 + 
    336609000*ln2*z2*z5 + 93366000*sinf*z2*z5 - 158531625*z3*z5 - 
    85396500*sinf*z7)/4032000, H[1, -1, 1, 0, -1, 1, 0, -1, 1] -> 
  (-790272000*li4half^2 - 6773760000*li8half + 1806336000*li7half*ln2 + 
    1354752000*li6half*ln2^2 + 301056000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 173600*ln2^8 + 1944432000*ln2^2*s6 + 
    280224000*ln2*s7a - 693504000*ln2*s7b - 3427059825*s8a - 
    18845064000*s8b - 2981664000*s8c - 997920000*s8d + 
    7225344000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf + 75264000*li4half*ln2^3*sinf + 
    1702400*ln2^7*sinf - 16128000*ln2*s6*sinf + 1483776000*s7a*sinf - 
    2354688000*s7b*sinf - 169344000*li6half*z2 - 903168000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 509600*ln2^6*z2 + 3915072000*s6*z2 - 
    818496000*li5half*sinf*z2 - 338688000*li4half*ln2*sinf*z2 - 
    14817600*ln2^5*sinf*z2 + 316915200*li4half*z2^2 + 65419200*ln2^4*z2^2 + 
    112425600*ln2^3*sinf*z2^2 - 611856000*ln2^2*z2^3 - 
    36993600*ln2*sinf*z2^3 - 47132352*z2^4 + 4035024000*li5half*z3 - 
    239904000*li4half*ln2*z3 - 43621200*ln2^5*z3 + 
    169344000*li4half*sinf*z3 + 7056000*ln2^4*sinf*z3 + 
    426804000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 + 
    3435755400*ln2*z2^2*z3 + 585950400*sinf*z2^2*z3 + 643450500*ln2^2*z3^2 + 
    1602468000*ln2*sinf*z3^2 + 2878123500*z2*z3^2 + 621663000*ln2^3*z5 + 
    3236058000*ln2^2*sinf*z5 + 11977497000*ln2*z2*z5 + 
    7921053000*sinf*z2*z5 - 3599859375*z3*z5 - 4909070250*ln2*z7 - 
    18537246000*sinf*z7)/56448000, H[1, -1, 1, 0, -1, 1, -1, 1, 1] -> 
  (-17357760000*li8half + 310464000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 382900*ln2^8 + 2600640000*ln2^2*s6 - 
    7201407150*s8a - 43222032000*s8b - 5017824000*s8c - 3964464000*s8d + 
    3782016000*li7half*sinf + 451584000*li6half*ln2*sinf - 
    42336000*li5half*ln2^2*sinf + 229600*ln2^7*sinf - 695520000*ln2*s6*sinf + 
    808416000*s7a*sinf - 1054368000*s7b*sinf - 310464000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 9074800*ln2^6*z2 + 
    12328344000*s6*z2 + 42336000*li5half*sinf*z2 - 11642400*ln2^5*sinf*z2 - 
    790776000*li4half*z2^2 + 150271800*ln2^4*z2^2 + 
    125714400*ln2^3*sinf*z2^2 - 387525600*ln2^2*z2^3 + 
    222566400*ln2*sinf*z2^3 + 1202925456*z2^4 + 7780752000*li5half*z3 + 
    21168000*li4half*ln2*z3 - 63957600*ln2^5*z3 + 590184000*ln2^3*z2*z3 - 
    5292000*ln2^2*sinf*z2*z3 + 5607592200*ln2*z2^2*z3 + 
    304894800*sinf*z2^2*z3 + 697473000*ln2^2*z3^2 + 955836000*ln2*sinf*z3^2 + 
    5449752000*z2*z3^2 + 113631000*ln2^3*z5 + 1975018500*ln2^2*sinf*z5 + 
    14712579000*ln2*z2*z5 + 2984971500*sinf*z2*z5 - 6868197000*z3*z5 - 
    8495211375*sinf*z7)/28224000, H[1, -1, 1, 0, -1, 1, -1, 0, 1] -> 
  (774144000*li8half - 38707200*li6half*ln2^2 - 4300800*li5half*ln2^3 + 
    1280*ln2^8 - 121564800*ln2^2*s6 + 308377125*s8a + 1890907200*s8b + 
    209260800*s8c + 180230400*s8d - 309657600*li7half*sinf - 
    77414400*li6half*ln2*sinf - 6451200*li5half*ln2^2*sinf + 
    7680*ln2^7*sinf + 32947200*ln2*s6*sinf - 66816000*s7a*sinf + 
    84787200*s7b*sinf - 33868800*li6half*z2 - 13708800*li5half*ln2*z2 + 
    1209600*li4half*ln2^2*z2 + 28000*ln2^6*z2 - 578188800*s6*z2 - 
    2419200*li5half*sinf*z2 - 194880*ln2^5*sinf*z2 + 36529920*li4half*z2^2 - 
    3202080*ln2^4*z2^2 - 5402880*ln2^3*sinf*z2^2 + 20516160*ln2^2*z2^3 - 
    14710080*ln2*sinf*z2^3 - 51388032*z2^4 - 354211200*li5half*z3 - 
    4838400*li4half*ln2*z3 + 2750160*ln2^5*z3 - 28039200*ln2^3*z2*z3 + 
    403200*ln2^2*sinf*z2*z3 - 239820840*ln2*z2^2*z3 - 24618240*sinf*z2^2*z3 - 
    21766500*ln2^2*z3^2 - 68198400*ln2*sinf*z3^2 - 220859100*z2*z3^2 + 
    1612800*ln2^3*z5 - 144446400*ln2^2*sinf*z5 - 600679800*ln2*z2*z5 - 
    245572200*sinf*z2*z5 + 299364975*z3*z5 + 695908800*sinf*z7)/1612800, 
 H[1, -1, 1, 0, -1, 1, -1, -1, 1] -> 
  (-7257600*li4half^2 + 774144000*li8half - 14515200*li6half*ln2^2 + 
    2688000*li5half*ln2^3 - 201600*li4half*ln2^4 - 19160*ln2^8 - 
    110275200*ln2^2*s6 + 308377125*s8a + 1890907200*s8b + 209260800*s8c + 
    180230400*s8d - 164505600*li7half*sinf - 19353600*li6half*ln2*sinf + 
    4032000*li5half*ln2^2*sinf + 806400*li4half*ln2^3*sinf + 
    5760*ln2^7*sinf + 30931200*ln2*s6*sinf - 38188800*s7a*sinf + 
    40435200*s7b*sinf + 9676800*li6half*z2 - 8064000*li5half*ln2*z2 + 
    1209600*li4half*ln2^2*z2 + 422240*ln2^6*z2 - 551577600*s6*z2 - 
    4032000*li5half*sinf*z2 - 2419200*li4half*ln2*sinf*z2 + 
    389760*ln2^5*sinf*z2 + 40763520*li4half*z2^2 - 6207600*ln2^4*z2^2 - 
    4690560*ln2^3*sinf*z2^2 + 14250240*ln2^2*z2^3 - 11283840*ln2*sinf*z2^3 - 
    57266712*z2^4 - 346348800*li5half*z3 - 4233600*li4half*ln2*z3 + 
    2709840*ln2^5*z3 + 1209600*li4half*sinf*z3 + 50400*ln2^4*sinf*z3 - 
    24981600*ln2^3*z2*z3 + 756000*ln2^2*sinf*z2*z3 - 241373160*ln2*z2^2*z3 - 
    12713760*sinf*z2^2*z3 - 25722900*ln2^2*z3^2 - 38134800*ln2*sinf*z3^2 - 
    232526700*z2*z3^2 - 4149600*ln2^3*z5 - 82391400*ln2^2*sinf*z5 - 
    615333600*ln2*z2*z5 - 115011000*sinf*z2*z5 + 303715125*z3*z5 + 
    345181500*sinf*z7)/1612800, H[1, -1, 1, 0, -1, 0, 1, 1, 1] -> 
  (-84672000*li4half^2 - 225792000*li8half + 67737600*li6half*ln2^2 + 
    30105600*li5half*ln2^3 - 1411200*li4half*ln2^4 - 74200*ln2^8 + 
    85680000*ln2^2*s6 - 113852025*s8a - 446241600*s8b - 120556800*s8c + 
    47174400*s8d + 180633600*li7half*sinf + 135475200*li6half*ln2*sinf + 
    45158400*li5half*ln2^2*sinf + 7526400*li4half*ln2^3*sinf + 
    89600*ln2^7*sinf + 32659200*ln2*s6*sinf + 18144000*s7a*sinf - 
    43948800*s7b*sinf - 67737600*li6half*z2 - 90316800*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 + 854560*ln2^6*z2 - 83059200*s6*z2 - 
    45158400*li5half*sinf*z2 - 22579200*li4half*ln2*sinf*z2 - 
    752640*ln2^5*sinf*z2 + 67858560*li4half*z2^2 - 112560*ln2^4*z2^2 + 
    1881600*ln2^3*sinf*z2^2 - 26832960*ln2^2*z2^3 - 4183200*ln2*sinf*z2^3 - 
    22161528*z2^4 + 187891200*li5half*z3 + 4233600*li4half*ln2*z3 - 
    1389360*ln2^5*z3 - 5644800*li4half*sinf*z3 - 235200*ln2^4*sinf*z3 + 
    12012000*ln2^3*z2*z3 - 2469600*ln2^2*sinf*z2*z3 + 185721480*ln2*z2^2*z3 + 
    24842160*sinf*z2^2*z3 + 4693500*ln2^2*z3^2 - 1839600*ln2*sinf*z3^2 + 
    94254300*z2*z3^2 - 20697600*ln2^3*z5 + 29106000*ln2^2*sinf*z5 + 
    423763200*ln2*z2*z5 + 162086400*sinf*z2*z5 - 153428625*z3*z5 - 
    408241575*sinf*z7)/11289600, H[1, -1, 1, 0, -1, 0, 1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    8668800*ln2^2*s6 + 6987750*s8a + 2553600*s8b + 17337600*s8c - 
    17337600*s8d - 6182400*ln2*s6*sinf + 6182400*s7a*sinf + 
    6182400*s7b*sinf + 11289600*li6half*z2 + 11289600*li5half*ln2*z2 - 
    1881600*li4half*ln2^2*z2 - 156800*ln2^6*z2 + 38908800*s6*z2 + 
    3763200*li5half*sinf*z2 + 1881600*li4half*ln2*sinf*z2 + 
    47040*ln2^5*sinf*z2 - 11111520*li4half*z2^2 + 7420*ln2^4*z2^2 - 
    156800*ln2^3*sinf*z2^2 + 2450280*ln2^2*z2^3 + 1244880*ln2*sinf*z2^3 + 
    9012372*z2^4 + 1747200*li5half*z3 + 4233600*li4half*ln2*z3 + 
    161840*ln2^5*z3 + 3763200*li4half*sinf*z3 + 156800*ln2^4*sinf*z3 - 
    1148000*ln2^3*z2*z3 - 1293600*ln2^2*sinf*z2*z3 - 12976320*ln2*z2^2*z3 - 
    3664920*sinf*z2^2*z3 - 4731300*ln2^2*z3^2 + 3141600*ln2*sinf*z3^2 - 
    12591600*z2*z3^2 + 627200*ln2^3*z5 + 940800*ln2^2*sinf*z5 - 
    64743000*ln2*z2*z5 - 22717800*sinf*z2*z5 - 4502400*z3*z5 + 
    41228775*sinf*z7)/940800, H[1, -1, 1, 0, -1, 0, 1, -1, 1] -> 
  (32256000*li4half^2 - 129024000*li7half*ln2 - 48384000*li6half*ln2^2 - 
    21504000*li5half*ln2^3 - 5376000*li4half*ln2^4 - 142400*ln2^8 - 
    138240000*ln2^2*s6 - 25056000*ln2*s7a - 4896000*ln2*s7b + 215812800*s8a + 
    741888000*s8b + 290304000*s8c - 96768000*s8d - 258048000*li7half*sinf - 
    96768000*li6half*ln2*sinf - 32256000*li5half*ln2^2*sinf - 
    10752000*li4half*ln2^3*sinf - 262400*ln2^7*sinf - 36288000*ln2*s6*sinf + 
    129024000*s7b*sinf + 48384000*li6half*z2 + 197568000*li5half*ln2*z2 + 
    68544000*li4half*ln2^2*z2 + 1971200*ln2^6*z2 + 114912000*s6*z2 + 
    32256000*li5half*sinf*z2 - 16128000*li4half*ln2*sinf*z2 - 
    39513600*li4half*z2^2 - 9912000*ln2^4*z2^2 - 134400*ln2^3*sinf*z2^2 + 
    59752800*ln2^2*z2^3 + 17827200*ln2*sinf*z2^3 + 87421248*z2^4 - 
    8064000*li5half*z3 - 33264000*li4half*ln2*z3 - 1318800*ln2^5*z3 + 
    16128000*li4half*sinf*z3 + 672000*ln2^4*sinf*z3 - 15036000*ln2^3*z2*z3 - 
    47880000*ln2^2*sinf*z2*z3 - 170683200*ln2*z2^2*z3 - 
    43041600*sinf*z2^2*z3 - 90729000*ln2^2*z3^2 - 37170000*ln2*sinf*z3^2 - 
    231651000*z2*z3^2 + 8274000*ln2^3*z5 - 83286000*ln2^2*sinf*z5 - 
    1100277000*ln2*z2*z5 - 424746000*sinf*z2*z5 + 85617000*z3*z5 + 
    135691875*ln2*z7 + 963270000*sinf*z7)/8064000, 
 H[1, -1, 1, 0, -1, 0, 0, 1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 + 
    15120000*ln2^2*s6 - 13914075*s8a - 66393600*s8b - 20832000*s8c + 
    2016000*s8d + 13171200*ln2*s6*sinf - 3763200*s7a*sinf - 
    17875200*s7b*sinf - 22579200*li6half*z2 + 940800*li4half*ln2^2*z2 + 
    7840*ln2^6*z2 - 17203200*s6*z2 + 15052800*li5half*sinf*z2 + 
    7526400*li4half*ln2*sinf*z2 + 188160*ln2^5*sinf*z2 + 
    2096640*li4half*z2^2 - 30240*ln2^4*z2^2 - 627200*ln2^3*sinf*z2^2 - 
    1321600*ln2^2*z2^3 - 1403360*ln2*sinf*z2^3 - 5333556*z2^4 - 
    13440000*li5half*z3 - 4233600*li4half*ln2*z3 - 64400*ln2^5*z3 - 
    12230400*li4half*sinf*z3 - 509600*ln2^4*sinf*z3 + 1584800*ln2^3*z2*z3 + 
    5527200*ln2^2*sinf*z2*z3 + 12908280*ln2*z2^2*z3 + 10007760*sinf*z2^2*z3 + 
    3723300*ln2^2*z3^2 - 3116400*ln2*sinf*z3^2 + 27633900*z2*z3^2 - 
    6291600*ln2^3*z5 + 4233600*ln2^2*sinf*z5 + 81370800*ln2*z2*z5 + 
    42924000*sinf*z2*z5 - 5568675*z3*z5 - 107677500*sinf*z7)/1881600, 
 H[1, -1, 1, 0, -1, 0, 0, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    13305600*ln2^2*s6 + 22672125*s8a + 113500800*s8b + 15321600*s8c + 
    18547200*s8d - 4032000*ln2*s6*sinf - 7257600*s7a*sinf + 
    15321600*s7b*sinf + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    45561600*s6*z2 + 7519680*li4half*z2^2 - 392280*ln2^4*z2^2 + 
    6318480*ln2^2*z2^3 + 5308800*ln2*sinf*z2^3 - 3468996*z2^4 - 
    14515200*li5half*z3 + 120960*ln2^5*z3 + 8467200*li4half*sinf*z3 + 
    352800*ln2^4*sinf*z3 - 1209600*ln2^3*z2*z3 - 2116800*ln2^2*sinf*z2*z3 - 
    11234160*ln2*z2^2*z3 - 6380640*sinf*z2^2*z3 + 756000*ln2^2*z3^2 - 
    3250800*ln2*sinf*z3^2 - 20928600*z2*z3^2 + 3528000*ln2^3*z5 - 
    16581600*ln2^2*sinf*z5 - 59327100*ln2*z2*z5 - 51930900*sinf*z2*z5 + 
    60426450*z3*z5 + 75755925*sinf*z7)/2822400, 
 H[1, -1, 1, 0, -1, 0, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    103824000*ln2^2*s6 + 70560000*ln2*s7b + 169956675*s8a + 887040000*s8b + 
    66528000*s8c + 145152000*s8d + 60480000*ln2*s6*sinf - 
    201600000*s7a*sinf + 80640000*s7b*sinf - 169344000*li6half*z2 - 
    28224000*li4half*ln2^2*z2 - 1411200*ln2^6*z2 - 459648000*s6*z2 + 
    112896000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    1411200*ln2^5*sinf*z2 - 26712000*li4half*z2^2 + 2415000*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 + 103488000*ln2^2*z2^3 + 63588000*ln2*sinf*z2^3 - 
    2139012*z2^4 - 198576000*li5half*z3 + 162288000*li4half*ln2*z3 + 
    8416800*ln2^5*z3 - 112896000*li4half*sinf*z3 - 4704000*ln2^4*sinf*z3 - 
    50064000*ln2^3*z2*z3 + 38808000*ln2^2*sinf*z2*z3 - 
    154564200*ln2*z2^2*z3 + 24267600*sinf*z2^2*z3 + 34303500*ln2^2*z3^2 - 
    164682000*ln2*sinf*z3^2 - 89145000*z2*z3^2 - 83349000*ln2^3*z5 - 
    295911000*ln2^2*sinf*z5 - 364077000*ln2*z2*z5 - 369180000*sinf*z2*z5 + 
    354256875*z3*z5 + 85113000*ln2*z7 + 260032500*sinf*z7)/28224000, 
 H[1, -1, 1, 0, -1, 0, -1, 1, 1] -> 
  (1354752000*li8half - 564480000*li6half*ln2^2 - 150528000*li5half*ln2^3 + 
    504000*ln2^8 + 589680000*ln2^2*s6 - 949074525*s8a - 3083976000*s8b - 
    1376928000*s8c + 445536000*s8d - 677376000*li7half*sinf - 
    903168000*li6half*ln2*sinf - 225792000*li5half*ln2^2*sinf + 
    761600*ln2^7*sinf + 64512000*ln2*s6*sinf - 290304000*s7a*sinf - 
    487872000*s7b*sinf + 564480000*li6half*z2 - 479808000*li5half*ln2*z2 - 
    254016000*li4half*ln2^2*z2 - 7526400*ln2^6*z2 - 326592000*s6*z2 + 
    225792000*li5half*sinf*z2 + 338688000*li4half*ln2*sinf*z2 + 
    9408000*ln2^5*sinf*z2 + 249984000*li4half*z2^2 + 54163200*ln2^4*z2^2 - 
    17875200*ln2^3*sinf*z2^2 - 425527200*ln2^2*z2^3 - 
    135576000*ln2*sinf*z2^3 - 666390384*z2^4 - 672336000*li5half*z3 - 
    169344000*li4half*ln2*z3 - 8038800*ln2^5*z3 - 366912000*li4half*sinf*z3 - 
    23520000*ln2^4*sinf*z3 + 194460000*ln2^3*z2*z3 + 
    423360000*ln2^2*sinf*z2*z3 + 891009000*ln2*z2^2*z3 + 
    311724000*sinf*z2^2*z3 + 244345500*ln2^2*z3^2 - 121212000*ln2*sinf*z3^2 + 
    1088923500*z2*z3^2 + 12348000*ln2^3*z5 + 209916000*ln2^2*sinf*z5 + 
    5211675000*ln2*z2*z5 + 1420776000*sinf*z2*z5 - 441228375*z3*z5 - 
    2630549250*sinf*z7)/56448000, H[1, -1, 1, 0, -1, 0, -1, 0, 1] -> 
  (-11692800*ln2^2*s6 + 13005300*s8a + 38976000*s8b + 19622400*s8c - 
    8332800*s8d - 8870400*ln2*s6*sinf + 5107200*s7a*sinf + 
    12633600*s7b*sinf - 16934400*li6half*z2 - 11289600*li5half*ln2*z2 - 
    3763200*li4half*ln2^2*z2 - 86240*ln2^6*z2 + 5611200*s6*z2 - 
    3763200*li5half*sinf*z2 - 1881600*li4half*ln2*sinf*z2 - 
    47040*ln2^5*sinf*z2 - 5735520*li4half*z2^2 + 113820*ln2^4*z2^2 + 
    156800*ln2^3*sinf*z2^2 + 3772440*ln2^2*z2^3 + 2205840*ln2*sinf*z2^3 + 
    9887664*z2^4 + 13372800*li5half*z3 + 5644800*li4half*ln2*z3 + 
    123760*ln2^5*z3 + 9408000*li4half*sinf*z3 + 392000*ln2^4*sinf*z3 - 
    1982400*ln2^3*z2*z3 - 3645600*ln2^2*sinf*z2*z3 - 11970000*ln2*z2^2*z3 - 
    7589400*sinf*z2^2*z3 - 4288200*ln2^2*z3^2 + 3326400*ln2*sinf*z3^2 - 
    14650650*z2*z3^2 + 1803200*ln2^3*z5 - 4586400*ln2^2*sinf*z5 - 
    53428200*ln2*z2*z5 - 36435000*sinf*z2*z5 + 800100*z3*z5 + 
    77789775*sinf*z7)/940800, H[1, -1, 1, 0, -1, 0, -1, -1, 1] -> 
  (254016000*li4half^2 - 225792000*li8half + 903168000*li7half*ln2 + 
    564480000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    49392000*li4half*ln2^4 + 961800*ln2^8 - 182448000*ln2^2*s6 + 
    167328000*ln2*s7a + 153216000*ln2*s7b - 52382925*s8a - 1124424000*s8b + 
    227808000*s8c - 411264000*s8d + 1580544000*li7half*sinf + 
    903168000*li6half*ln2*sinf + 225792000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 627200*ln2^7*sinf - 78624000*ln2*s6*sinf + 
    304416000*s7a*sinf + 36288000*s7b*sinf - 451584000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 296352000*li4half*ln2^2*z2 - 
    12504800*ln2^6*z2 + 801360000*s6*z2 - 112896000*li5half*sinf*z2 - 
    112896000*li4half*ln2*sinf*z2 - 6585600*ln2^5*sinf*z2 - 
    319334400*li4half*z2^2 + 26090400*ln2^4*z2^2 + 18816000*ln2^3*sinf*z2^2 + 
    170150400*ln2^2*z2^3 + 145051200*ln2*sinf*z2^3 + 284864472*z2^4 + 
    1323504000*li5half*z3 + 917280000*li4half*ln2*z3 + 33776400*ln2^5*z3 + 
    28224000*li4half*sinf*z3 + 9408000*ln2^4*sinf*z3 - 
    213108000*ln2^3*z2*z3 - 98784000*ln2^2*sinf*z2*z3 - 
    21936600*ln2*z2^2*z3 + 3326400*sinf*z2^2*z3 + 83191500*ln2^2*z3^2 + 
    52416000*ln2*sinf*z3^2 - 84199500*z2*z3^2 - 126273000*ln2^3*z5 + 
    49833000*ln2^2*sinf*z5 - 890946000*ln2*z2*z5 - 66024000*sinf*z2*z5 - 
    1168358625*z3*z5 + 87018750*ln2*z7 - 1058746500*sinf*z7)/56448000, 
 H[1, -1, 1, 0, -1, -1, 1, 1, 1] -> 
  (2604672000*li8half - 44352000*li6half*ln2^2 + 5376000*li5half*ln2^3 + 
    1008000*li4half*ln2^4 + 200*ln2^8 - 356832000*ln2^2*s6 + 999978525*s8a + 
    6078744000*s8b + 679392000*s8c + 566496000*s8d - 588672000*li7half*sinf - 
    88704000*li6half*ln2*sinf - 4032000*li5half*ln2^2*sinf + 
    27200*ln2^7*sinf + 84672000*ln2*s6*sinf - 118944000*s7a*sinf + 
    155232000*s7b*sinf + 44352000*li6half*z2 - 16128000*li5half*ln2*z2 + 
    851200*ln2^6*z2 - 1738800000*s6*z2 + 4032000*li5half*sinf*z2 + 
    1041600*ln2^5*sinf*z2 + 114508800*li4half*z2^2 - 15960000*ln2^4*z2^2 - 
    15153600*ln2^3*sinf*z2^2 + 37317600*ln2^2*z2^3 - 34293600*ln2*sinf*z2^3 - 
    189592056*z2^4 - 1104768000*li5half*z3 - 3024000*li4half*ln2*z3 + 
    8374800*ln2^5*z3 - 882000*ln2^4*sinf*z3 - 81984000*ln2^3*z2*z3 + 
    756000*ln2^2*sinf*z2*z3 - 773778600*ln2*z2^2*z3 - 45939600*sinf*z2^2*z3 - 
    87570000*ln2^2*z3^2 - 132741000*ln2*sinf*z3^2 - 752031000*z2*z3^2 - 
    19614000*ln2^3*z5 - 271593000*ln2^2*sinf*z5 - 1979334000*ln2*z2*z5 - 
    458577000*sinf*z2*z5 + 933242625*z3*z5 + 1300784625*sinf*z7)/8064000, 
 H[1, -1, 1, 0, -1, -1, 1, 0, 1] -> 
  (169344000*li4half^2 - 6773760000*li8half + 338688000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 282800*ln2^8 + 
    834624000*ln2^2*s6 - 2370192300*s8a - 15066576000*s8b - 1372896000*s8c - 
    1675296000*s8d + 2709504000*li7half*sinf + 677376000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 67200*ln2^7*sinf - 308448000*ln2*s6*sinf + 
    604800000*s7a*sinf - 622944000*s7b*sinf + 254016000*li6half*z2 + 
    268128000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 1391600*ln2^6*z2 + 
    5008752000*s6*z2 + 42336000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 2704800*ln2^5*sinf*z2 - 430315200*li4half*z2^2 + 
    21642600*ln2^4*z2^2 + 36691200*ln2^3*sinf*z2^2 - 58077600*ln2^2*z2^3 + 
    155047200*ln2*sinf*z2^3 + 621469932*z2^4 + 3057768000*li5half*z3 + 
    137592000*li4half*ln2*z3 - 19748400*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    2352000*ln2^4*sinf*z3 + 181902000*ln2^3*z2*z3 - 
    15876000*ln2^2*sinf*z2*z3 + 1789804800*ln2*z2^2*z3 + 
    216405000*sinf*z2^2*z3 + 70134750*ln2^2*z3^2 + 510142500*ln2*sinf*z3^2 + 
    1623147750*z2*z3^2 - 8232000*ln2^3*z5 + 1177029000*ln2^2*sinf*z5 + 
    3677026500*ln2*z2*z5 + 1779844500*sinf*z2*z5 - 2642668875*z3*z5 - 
    5487000750*sinf*z7)/28224000, H[1, -1, 1, 0, -1, -1, 1, -1, 1] -> 
  (254016000*li4half^2 - 26417664000*li8half - 677376000*li7half*ln2 + 
    423360000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 40600*ln2^8 + 3725568000*ln2^2*s6 - 
    120960000*ln2*s7a + 147168000*ln2*s7b - 10289150550*s8a - 
    63277200000*s8b - 6785856000*s8c - 6168960000*s8d + 
    5249664000*li7half*sinf + 846720000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    806400*ln2^7*sinf - 949536000*ln2*s6*sinf + 1372896000*s7a*sinf - 
    1167264000*s7b*sinf - 423360000*li6half*z2 + 225792000*li5half*ln2*z2 - 
    9094400*ln2^6*z2 + 18603648000*s6*z2 + 28224000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 - 8937600*ln2^5*sinf*z2 - 
    1398902400*li4half*z2^2 + 159272400*ln2^4*z2^2 + 
    120187200*ln2^3*sinf*z2^2 - 499111200*ln2^2*z2^3 + 
    322812000*ln2*sinf*z2^3 + 2072103912*z2^4 + 12154464000*li5half*z3 + 
    127008000*li4half*ln2*z3 - 91056000*ln2^5*z3 - 42336000*li4half*sinf*z3 + 
    4410000*ln2^4*sinf*z3 + 869988000*ln2^3*z2*z3 - 
    26460000*ln2^2*sinf*z2*z3 + 8145446400*ln2*z2^2*z3 + 
    384804000*sinf*z2^2*z3 + 501417000*ln2^2*z3^2 + 
    1112832000*ln2*sinf*z3^2 + 7757883000*z2*z3^2 - 76881000*ln2^3*z5 + 
    2571030000*ln2^2*sinf*z5 + 19368279000*ln2*z2*z5 + 
    3397968000*sinf*z2*z5 - 10851450750*z3*z5 + 1721624625*ln2*z7 - 
    10242453375*sinf*z7)/56448000, H[1, -1, 1, 0, -1, -1, 0, 1, 1] -> 
  (-5208000*ln2^2*s6 + 597450*s8a - 7140000*s8b + 10416000*s8c - 
    17472000*s8d + 1848000*ln2*s6*sinf - 1848000*s7a*sinf - 
    5376000*s7b*sinf + 14112000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 78400*ln2^6*z2 + 52584000*s6*z2 + 
    14112000*li5half*sinf*z2 - 117600*ln2^5*sinf*z2 - 2436000*li4half*z2^2 + 
    192500*ln2^4*z2^2 + 1176000*ln2^3*sinf*z2^2 + 2767800*ln2^2*z2^3 + 
    2713200*ln2*sinf*z2^3 + 8693652*z2^4 - 10920000*li5half*z3 - 
    8820000*li4half*ln2*z3 - 276500*ln2^5*z3 - 2331000*ln2^3*z2*z3 - 
    5439000*ln2^2*sinf*z2*z3 - 12757500*ln2*z2^2*z3 + 178500*sinf*z2^2*z3 + 
    2853375*ln2^2*z3^2 + 6326250*ln2*sinf*z3^2 - 12718125*z2*z3^2 + 
    1298500*ln2^3*z5 + 5365500*ln2^2*sinf*z5 - 89827500*ln2*z2*z5 - 
    598500*sinf*z2*z5 + 6659625*z3*z5 - 21892500*sinf*z7)/4704000, 
 H[1, -1, 1, 0, -1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    52080000*ln2^2*s6 - 42331275*s8a - 129696000*s8b - 94752000*s8c + 
    66528000*s8d + 26208000*ln2*s6*sinf - 16800000*s7a*sinf - 
    35616000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 
    114240000*s6*z2 + 34473600*li4half*z2^2 - 327600*ln2^4*z2^2 - 
    8775200*ln2^2*z2^3 - 4261600*ln2*sinf*z2^3 - 49625764*z2^4 - 
    62496000*li5half*z3 - 28224000*li4half*ln2*z3 - 655200*ln2^5*z3 + 
    3416000*ln2^3*z2*z3 + 2352000*ln2^2*sinf*z2*z3 + 52046400*ln2*z2^2*z3 + 
    9387000*sinf*z2^2*z3 + 25158000*ln2^2*z3^2 + 2667000*ln2*sinf*z3^2 + 
    62758500*z2*z3^2 - 4508000*ln2^3*z5 + 11466000*ln2^2*sinf*z5 + 
    309466500*ln2*z2*z5 + 115867500*sinf*z2*z5 + 75332250*z3*z5 - 
    219906750*sinf*z7)/9408000, H[1, -1, 1, 0, -1, -1, 0, -1, 1] -> 
  (-16934400*li4half^2 - 1411200*li4half*ln2^4 - 29400*ln2^8 + 
    14380800*ln2^2*s6 - 7257600*ln2*s7a - 10080000*ln2*s7b + 7882350*s8a + 
    62025600*s8b - 14246400*s8c + 22713600*s8d + 20832000*ln2*s6*sinf - 
    20832000*s7a*sinf - 20832000*s7b*sinf + 5644800*li6half*z2 + 
    11289600*li5half*ln2*z2 + 11289600*li4half*ln2^2*z2 + 384160*ln2^6*z2 - 
    44016000*s6*z2 + 5644800*li5half*sinf*z2 - 47040*ln2^5*sinf*z2 + 
    18090240*li4half*z2^2 - 187040*ln2^4*z2^2 + 470400*ln2^3*sinf*z2^2 - 
    1112160*ln2^2*z2^3 - 1387680*ln2*sinf*z2^3 - 12536136*z2^4 - 
    58128000*li5half*z3 - 32457600*li4half*ln2*z3 - 868000*ln2^5*z3 + 
    3427200*ln2^3*z2*z3 + 235200*ln2^2*sinf*z2*z3 - 1345680*ln2*z2^2*z3 + 
    3625440*sinf*z2^2*z3 + 8822100*ln2^2*z3^2 + 5741400*ln2*sinf*z3^2 - 
    1839600*z2*z3^2 - 735000*ln2^3*z5 - 5203800*ln2^2*sinf*z5 + 
    60971400*ln2*z2*z5 + 60576600*sinf*z2*z5 + 76762350*z3*z5 - 
    104083875*ln2*z7 - 130912425*sinf*z7)/3763200, 
 H[1, -1, 1, 0, -1, -1, -1, 1, 1] -> 
  (-16934400*li4half^2 + 1670860800*li8half - 118540800*li6half*ln2^2 - 
    30105600*li5half*ln2^3 - 1411200*li4half*ln2^4 + 98280*ln2^8 - 
    208252800*ln2^2*s6 + 493760925*s8a + 3207758400*s8b + 320544000*s8c + 
    289094400*s8d - 316108800*li7half*sinf - 124185600*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf + 1881600*li4half*ln2^3*sinf + 
    203840*ln2^7*sinf + 14918400*ln2*s6*sinf - 51609600*s7a*sinf + 
    21772800*s7b*sinf + 118540800*li6half*z2 + 56448000*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 - 329280*ln2^6*z2 - 835027200*s6*z2 + 
    28224000*li5half*sinf*z2 - 376320*ln2^5*sinf*z2 + 72777600*li4half*z2^2 - 
    4164720*ln2^4*z2^2 - 2210880*ln2^3*sinf*z2^2 - 1602720*ln2^2*z2^3 - 
    20603520*ln2*sinf*z2^3 - 132007464*z2^4 - 668505600*li5half*z3 - 
    29635200*li4half*ln2*z3 + 4994640*ln2^5*z3 - 1411200*li4half*sinf*z3 + 
    764400*ln2^4*sinf*z3 - 40891200*ln2^3*z2*z3 + 5292000*ln2^2*sinf*z2*z3 - 
    408439080*ln2*z2^2*z3 - 8200080*sinf*z2^2*z3 - 15044400*ln2^2*z3^2 - 
    22969800*ln2*sinf*z3^2 - 379146600*z2*z3^2 + 38396400*ln2^3*z5 - 
    46305000*ln2^2*sinf*z5 - 1011200400*ln2*z2*z5 - 91035000*sinf*z2*z5 + 
    433703025*z3*z5 + 389305350*sinf*z7)/11289600, 
 H[1, -1, 1, 0, -1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    234864000*ln2^2*s6 + 355825575*s8a + 1367352000*s8b + 328608000*s8c + 
    94752000*s8d - 141120000*ln2*s6*sinf + 282240000*s7b*sinf - 
    677376000*li6half*z2 - 423360000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 352800*ln2^6*z2 - 746928000*s6*z2 - 
    84672000*li5half*sinf*z2 + 705600*ln2^5*sinf*z2 - 67132800*li4half*z2^2 - 
    9853200*ln2^4*z2^2 - 7056000*ln2^3*sinf*z2^2 + 96096000*ln2^2*z2^3 + 
    45628800*ln2*sinf*z2^3 + 101407272*z2^4 + 128016000*li5half*z3 + 
    169344000*li4half*ln2*z3 + 5989200*ln2^5*z3 + 49392000*li4half*sinf*z3 + 
    2058000*ln2^4*sinf*z3 + 84000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    216581400*ln2*z2^2*z3 - 92433600*sinf*z2^2*z3 - 90310500*ln2^2*z3^2 - 
    88200000*ln2*sinf*z3^2 - 180967500*z2*z3^2 + 34692000*ln2^3*z5 - 
    221382000*ln2^2*sinf*z5 - 321237000*ln2*z2*z5 - 743085000*sinf*z2*z5 + 
    275932125*z3*z5 + 1466655750*sinf*z7)/56448000, 
 H[1, -1, 1, 0, -1, -1, -1, -1, 1] -> 
  (-28224000*li4half^2 + 395136000*li8half + 903168000*li7half*ln2 + 
    479808000*li6half*ln2^2 + 112896000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 - 198800*ln2^8 + 56448000*ln2^2*s6 + 
    108864000*ln2*s7a - 173376000*ln2*s7b + 169662150*s8a + 928368000*s8b + 
    92736000*s8c + 76608000*s8d + 677376000*li7half*sinf + 
    395136000*li6half*ln2*sinf + 84672000*li5half*ln2^2*sinf - 
    291200*ln2^7*sinf + 110880000*ln2*s6*sinf + 16128000*s7a*sinf - 
    110880000*s7b*sinf - 197568000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 - 301392000*s6*z2 - 
    28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 + 25200000*li4half*z2^2 + 1050000*ln2^4*z2^2 + 
    4704000*ln2^3*sinf*z2^2 + 54583200*ln2^2*z2^3 + 45108000*ln2*sinf*z2^3 + 
    2995344*z2^4 - 40320000*li5half*z3 + 56448000*li4half*ln2*z3 - 
    604800*ln2^5*z3 + 14112000*li4half*sinf*z3 - 3528000*ln2^4*sinf*z3 - 
    21588000*ln2^3*z2*z3 - 15876000*ln2^2*sinf*z2*z3 - 47980800*ln2*z2^2*z3 + 
    22881600*sinf*z2^2*z3 + 88420500*ln2^2*z3^2 + 43533000*ln2*sinf*z3^2 - 
    113431500*z2*z3^2 + 63210000*ln2^3*z5 - 28224000*ln2^2*sinf*z5 + 
    419391000*ln2*z2*z5 + 357903000*sinf*z2*z5 + 82530000*z3*z5 - 
    2119272750*ln2*z7 - 1245250125*sinf*z7)/56448000, 
 H[1, -1, 1, -1, 1, 1, 1, 1, 1] -> 
  (620928000*li8half - 70560000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 
    9100*ln2^8 + 3024000*ln2^2*s6 + 46270350*s8a + 515592000*s8b - 
    6048000*s8c + 111888000*s8d - 338688000*li7half*sinf - 
    141120000*li6half*ln2*sinf - 14112000*li5half*ln2^2*sinf - 
    16800*ln2^7*sinf + 43344000*ln2*s6*sinf - 43344000*s7a*sinf + 
    20160000*s7b*sinf + 70560000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    254800*ln2^6*z2 - 276696000*s6*z2 + 14112000*li5half*sinf*z2 + 
    352800*ln2^5*sinf*z2 + 22377600*li4half*z2^2 + 1961400*ln2^4*z2^2 + 
    1058400*ln2^3*sinf*z2^2 - 8870400*ln2^2*z2^3 - 15019200*ln2*sinf*z2^3 - 
    70391844*z2^4 - 273168000*li5half*z3 - 75600*ln2^5*z3 - 
    2352000*ln2^4*sinf*z3 + 756000*ln2^3*z2*z3 + 14112000*ln2^2*sinf*z2*z3 + 
    6690600*ln2*z2^2*z3 + 15372000*sinf*z2^2*z3 + 850500*ln2^2*z3^2 - 
    54180000*ln2*sinf*z3^2 - 22585500*z2*z3^2 - 37632000*ln2^3*z5 - 
    117967500*ln2^2*sinf*z5 + 131040000*ln2*z2*z5 - 4756500*sinf*z2*z5 - 
    19230750*z3*z5 + 221342625*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 1, 1, 0, 1] -> (42336000*li4half^2 - 225792000*li8half + 
    42336000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    116900*ln2^8 + 2016000*ln2^2*s6 + 34084575*s8a - 333648000*s8b + 
    52416000*s8c - 172368000*s8d + 112896000*li7half*sinf + 
    84672000*li6half*ln2*sinf + 28224000*li5half*ln2^2*sinf + 
    4704000*li4half*ln2^3*sinf + 56000*ln2^7*sinf + 4032000*ln2*s6*sinf + 
    52416000*s7a*sinf - 46368000*s7b*sinf + 155232000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 1509200*ln2^6*z2 + 
    439992000*s6*z2 + 28224000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 - 
    51408000*li4half*z2^2 + 4884600*ln2^4*z2^2 + 1881600*ln2^3*sinf*z2^2 - 
    10987200*ln2^2*z2^3 - 11642400*ln2*sinf*z2^3 + 30077172*z2^4 + 
    260064000*li5half*z3 + 56448000*li4half*ln2*z3 + 1125600*ln2^5*z3 - 
    21168000*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 - 30072000*ln2^3*z2*z3 - 
    15876000*ln2^2*sinf*z2*z3 - 48106800*ln2*z2^2*z3 - 2016000*sinf*z2^2*z3 + 
    13797000*ln2^2*z3^2 + 51408000*ln2*sinf*z3^2 - 73269000*z2*z3^2 + 
    294000*ln2^3*z5 + 96138000*ln2^2*sinf*z5 - 327474000*ln2*z2*z5 + 
    82404000*sinf*z2*z5 - 21695625*z3*z5 - 192709125*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 1, 1, -1, 1] -> 
  (-649152000*li8half + 84672000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 96600*ln2^8 + 59472000*ln2^2*s6 - 92214675*s8a - 
    1008504000*s8b - 48384000*s8c - 128016000*s8d + 366912000*li7half*sinf + 
    169344000*li6half*ln2*sinf + 28224000*li5half*ln2^2*sinf + 
    4704000*li4half*ln2^3*sinf + 128800*ln2^7*sinf + 11088000*ln2*s6*sinf + 
    59472000*s7a*sinf - 74592000*s7b*sinf - 84672000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 1293600*ln2^6*z2 + 
    308952000*s6*z2 - 28224000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*
     z2 - 1293600*ln2^5*sinf*z2 - 31953600*li4half*z2^2 + 873600*ln2^4*z2^2 + 
    1293600*ln2^3*sinf*z2^2 - 1486800*ln2^2*z2^3 + 5493600*ln2*sinf*z2^3 + 
    49952772*z2^4 + 354816000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    2570400*ln2^5*z3 + 7056000*li4half*sinf*z3 + 3675000*ln2^4*sinf*z3 - 
    16296000*ln2^3*z2*z3 - 22050000*ln2^2*sinf*z2*z3 + 41529600*ln2*z2^2*z3 + 
    12360600*sinf*z2^2*z3 + 32161500*ln2^2*z3^2 + 75663000*ln2*sinf*z3^2 + 
    49738500*z2*z3^2 - 7938000*ln2^3*z5 + 117967500*ln2^2*sinf*z5 + 
    168966000*ln2*z2*z5 + 235210500*sinf*z2*z5 - 15096375*z3*z5 + 
    282240000*ln2*z7 - 665791875*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 1, 0, 1, 1] -> 
  (-127008000*li4half^2 - 1241856000*li8half + 127008000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 594300*ln2^8 + 
    124992000*ln2^2*s6 - 392628600*s8a - 1850184000*s8b - 207648000*s8c - 
    152208000*s8d + 620928000*li7half*sinf + 254016000*li6half*ln2*sinf + 
    14112000*li5half*ln2^2*sinf - 14112000*li4half*ln2^3*sinf - 
    476000*ln2^7*sinf - 65520000*ln2*s6*sinf + 107856000*s7a*sinf - 
    68544000*s7b*sinf - 42336000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 5154800*ln2^6*z2 + 442008000*s6*z2 - 
    98784000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*z2 + 
    823200*ln2^5*sinf*z2 + 49996800*li4half*z2^2 - 9529800*ln2^4*z2^2 + 
    4586400*ln2^3*sinf*z2^2 - 26863200*ln2^2*z2^3 + 20865600*ln2*sinf*z2^3 + 
    111385044*z2^4 + 523152000*li5half*z3 - 169344000*li4half*ln2*z3 - 
    14120400*ln2^5*z3 + 31752000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 + 
    76524000*ln2^3*z2*z3 - 28224000*ln2^2*sinf*z2*z3 + 
    370125000*ln2*z2^2*z3 + 13885200*sinf*z2^2*z3 - 70024500*ln2^2*z3^2 + 
    98658000*ln2*sinf*z3^2 + 234454500*z2*z3^2 + 44394000*ln2^3*z5 + 
    237478500*ln2^2*sinf*z5 + 489762000*ln2*z2*z5 + 150412500*sinf*z2*z5 - 
    466326000*z3*z5 - 649789875*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 1, 0, 0, 1] -> 
  (42336000*li4half^2 + 28224000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    10584000*li4half*ln2^4 + 249900*ln2^8 + 40824000*ln2^2*s6 - 
    102184425*s8a - 481824000*s8b - 74592000*s8c + 4032000*s8d + 
    56448000*li7half*sinf + 56448000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    224000*ln2^7*sinf + 10080000*ln2*s6*sinf - 3024000*s7a*sinf - 
    10080000*s7b*sinf - 56448000*li6half*z2 - 98784000*li5half*ln2*z2 - 
    91728000*li4half*ln2^2*z2 - 3861200*ln2^6*z2 - 18648000*s6*z2 - 
    42336000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*z2 - 
    2352000*ln2^5*sinf*z2 - 18244800*li4half*z2^2 + 14469000*ln2^4*z2^2 + 
    9290400*ln2^3*sinf*z2^2 - 6300000*ln2^2*z2^3 + 2721600*ln2*sinf*z2^3 + 
    556632*z2^4 + 51912000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    5212200*ln2^5*z3 - 21168000*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 - 
    31836000*ln2^3*z2*z3 - 882000*ln2^2*sinf*z2*z3 + 125029800*ln2*z2^2*z3 + 
    50437800*sinf*z2^2*z3 + 23058000*ln2^2*z3^2 - 35091000*ln2*sinf*z3^2 + 
    113274000*z2*z3^2 - 22197000*ln2^3*z5 - 26460000*ln2^2*sinf*z5 + 
    455742000*ln2*z2*z5 + 118251000*sinf*z2*z5 - 282767625*z3*z5 - 
    310582125*sinf*z7)/28224000, H[1, -1, 1, -1, 1, 1, 0, -1, 1] -> 
  (-169344000*li4half^2 - 2116800000*li8half - 84672000*li7half*ln2 + 
    211680000*li6half*ln2^2 + 65856000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 - 143500*ln2^8 + 213192000*ln2^2*s6 - 
    123984000*ln2*s7a - 145152000*ln2*s7b - 403103925*s8a - 3137400000*s8b - 
    72576000*s8c - 498960000*s8d + 874944000*li7half*sinf + 
    423360000*li6half*ln2*sinf + 98784000*li5half*ln2^2*sinf + 
    14112000*li4half*ln2^3*sinf + 179200*ln2^7*sinf - 92736000*ln2*s6*sinf + 
    198576000*s7a*sinf - 20160000*s7b*sinf - 169344000*li6half*z2 - 
    197568000*li5half*ln2*z2 + 862400*ln2^6*z2 + 1220184000*s6*z2 - 
    141120000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*z2 - 
    2940000*ln2^5*sinf*z2 + 8164800*li4half*z2^2 + 7513800*ln2^4*z2^2 + 
    17169600*ln2^3*sinf*z2^2 - 28728000*ln2^2*z2^3 + 57002400*ln2*sinf*z2^3 + 
    310803552*z2^4 + 1396584000*li5half*z3 - 52920000*li4half*ln2*z3 - 
    14431200*ln2^5*z3 + 42336000*li4half*sinf*z3 + 1029000*ln2^4*sinf*z3 + 
    117264000*ln2^3*z2*z3 - 26460000*ln2^2*sinf*z2*z3 + 
    648925200*ln2*z2^2*z3 + 1650600*sinf*z2^2*z3 - 249291000*ln2^2*z3^2 + 
    74466000*ln2*sinf*z3^2 + 250015500*z2*z3^2 - 46672500*ln2^3*z5 + 
    111132000*ln2^2*sinf*z5 + 846310500*ln2*z2*z5 + 171895500*sinf*z2*z5 - 
    1290161250*z3*z5 - 1450386000*ln2*z7 - 785988000*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 1, -1, 1, 1] -> 
  (-423360000*li8half - 28224000*li5half*ln2^3 - 10584000*li4half*ln2^4 - 
    211400*ln2^8 + 93744000*ln2^2*s6 - 343598850*s8a - 1194480000*s8b - 
    187488000*s8c - 130032000*s8d + 169344000*li7half*sinf - 
    42336000*li5half*ln2^2*sinf - 14112000*li4half*ln2^3*sinf - 
    263200*ln2^7*sinf - 66528000*ln2*s6*sinf + 66528000*s7a*sinf - 
    102816000*s7b*sinf + 84672000*li5half*ln2*z2 + 
    63504000*li4half*ln2^2*z2 + 2391200*ln2^6*z2 + 418824000*s6*z2 + 
    42336000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*z2 + 
    1999200*ln2^5*sinf*z2 - 6955200*li4half*z2^2 - 9256800*ln2^4*z2^2 - 
    6938400*ln2^3*sinf*z2^2 - 51382800*ln2^2*z2^3 - 18345600*ln2*sinf*z2^3 + 
    82598004*z2^4 + 111888000*li5half*z3 - 169344000*li4half*ln2*z3 - 
    7282800*ln2^5*z3 - 21168000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 
    44604000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 + 198941400*ln2*z2^2*z3 + 
    37674000*sinf*z2^2*z3 + 5638500*ln2^2*z3^2 + 84042000*ln2*sinf*z3^2 + 
    220216500*z2*z3^2 + 105987000*ln2^3*z5 + 323032500*ln2^2*sinf*z5 + 
    244503000*ln2*z2*z5 + 148333500*sinf*z2*z5 - 420304500*z3*z5 - 
    462270375*sinf*z7)/28224000, H[1, -1, 1, -1, 1, 1, -1, 0, 1] -> 
  (20160000*li8half + 1344000*li5half*ln2^3 + 1008000*li4half*ln2^4 + 
    31300*ln2^8 - 504000*ln2^2*s6 + 9164925*s8a + 30240000*s8b - 
    6048000*s8c + 22176000*s8d - 4032000*li7half*sinf + 
    2016000*li5half*ln2^2*sinf + 1344000*li4half*ln2^3*sinf + 
    40000*ln2^7*sinf - 2016000*ln2*s6*sinf - 5040000*s7a*sinf + 
    8064000*s7b*sinf - 24192000*li6half*z2 - 22176000*li5half*ln2*z2 - 
    6048000*li4half*ln2^2*z2 - 232400*ln2^6*z2 - 73080000*s6*z2 - 
    8064000*li5half*sinf*z2 - 4032000*li4half*ln2*sinf*z2 - 
    268800*ln2^5*sinf*z2 + 2620800*li4half*z2^2 + 281400*ln2^4*z2^2 + 
    403200*ln2^3*sinf*z2^2 + 2512800*ln2^2*z2^3 + 1915200*ln2*sinf*z2^3 - 
    13028832*z2^4 - 17640000*li5half*z3 + 16128000*li4half*ln2*z3 + 
    1037400*ln2^5*z3 + 2016000*li4half*sinf*z3 + 357000*ln2^4*sinf*z3 - 
    2184000*ln2^3*z2*z3 + 756000*ln2^2*sinf*z2*z3 + 2595600*ln2*z2^2*z3 - 
    1751400*sinf*z2^2*z3 + 6237000*ln2^2*z3^2 - 8631000*ln2*sinf*z3^2 + 
    12537000*z2*z3^2 - 693000*ln2^3*z5 - 13734000*ln2^2*sinf*z5 + 
    88357500*ln2*z2*z5 - 346500*sinf*z2*z5 + 28350000*z3*z5 + 
    12017250*sinf*z7)/4032000, H[1, -1, 1, -1, 1, 1, -1, -1, 1] -> 
  (508032000*li8half - 42336000*li6half*ln2^2 - 51100*ln2^8 - 
    193536000*ln2^2*s6 + 312053175*s8a + 1886976000*s8b + 302400000*s8c + 
    99792000*s8d - 254016000*li7half*sinf - 84672000*li6half*ln2*sinf - 
    72800*ln2^7*sinf - 48384000*ln2*s6*sinf - 36288000*s7a*sinf + 
    217728000*s7b*sinf + 42336000*li6half*z2 + 725200*ln2^6*z2 - 
    358344000*s6*z2 + 823200*ln2^5*sinf*z2 + 19958400*li4half*z2^2 + 
    96600*ln2^4*z2^2 - 117600*ln2^3*sinf*z2^2 + 62193600*ln2^2*z2^3 + 
    38455200*ln2*sinf*z2^3 + 42495948*z2^4 - 199584000*li5half*z3 - 
    1512000*ln2^5*z3 - 3381000*ln2^4*sinf*z3 + 15120000*ln2^3*z2*z3 + 
    20286000*ln2^2*sinf*z2*z3 - 207522000*ln2*z2^2*z3 - 
    56158200*sinf*z2^2*z3 - 140206500*ln2^2*z3^2 - 134883000*ln2*sinf*z3^2 - 
    253039500*z2*z3^2 - 51303000*ln2^3*z5 - 323032500*ln2^2*sinf*z5 - 
    830907000*ln2*z2*z5 - 648175500*sinf*z2*z5 - 34405875*z3*z5 - 
    513324000*ln2*z7 + 1367391375*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 0, 1, 1, 1] -> 
  (254016000*li4half^2 - 1241856000*li8half + 84672000*li6half*ln2^2 + 
    21168000*li4half*ln2^4 + 527800*ln2^8 - 27216000*ln2^2*s6 - 
    92540700*s8a - 1031184000*s8b + 12096000*s8c - 223776000*s8d + 
    564480000*li7half*sinf + 169344000*li6half*ln2*sinf + 123200*ln2^7*sinf - 
    52416000*ln2*s6*sinf + 10080000*s7a*sinf - 74592000*s7b*sinf - 
    84672000*li6half*z2 - 127008000*li4half*ln2^2*z2 - 6311200*ln2^6*z2 + 
    574560000*s6*z2 - 1176000*ln2^5*sinf*z2 - 82857600*li4half*z2^2 + 
    12541200*ln2^4*z2^2 + 1176000*ln2^3*sinf*z2^2 + 34927200*ln2^2*z2^3 + 
    26863200*ln2*sinf*z2^3 + 151186248*z2^4 + 447552000*li5half*z3 + 
    338688000*li4half*ln2*z3 + 15556800*ln2^5*z3 - 
    105840000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 - 
    99120000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 - 45486000*ln2*z2^2*z3 + 
    61488000*sinf*z2^2*z3 + 171612000*ln2^2*z3^2 + 48762000*ln2*sinf*z3^2 - 
    128142000*z2*z3^2 + 85554000*ln2^3*z5 + 210357000*ln2^2*sinf*z5 - 
    292950000*ln2*z2*z5 + 93429000*sinf*z2*z5 + 194796000*z3*z5 - 
    733485375*sinf*z7)/56448000, H[1, -1, 1, -1, 1, 0, 1, 0, 1] -> 
  (-16934400*li4half^2 + 169344000*li8half - 22579200*li6half*ln2^2 - 
    7526400*li5half*ln2^3 - 2822400*li4half*ln2^4 - 52640*ln2^8 - 
    32961600*ln2^2*s6 + 67427325*s8a + 422805600*s8b + 40521600*s8c + 
    51912000*s8d - 90316800*li7half*sinf - 45158400*li6half*ln2*sinf - 
    11289600*li5half*ln2^2*sinf - 1881600*li4half*ln2^3*sinf - 
    29120*ln2^7*sinf - 5241600*ln2*s6*sinf - 20160000*s7a*sinf + 
    30643200*s7b*sinf - 14112000*li6half*z2 - 11289600*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 + 388080*ln2^6*z2 - 150746400*s6*z2 + 
    94080*ln2^5*sinf*z2 + 17156160*li4half*z2^2 - 802200*ln2^4*z2^2 - 
    599760*ln2^3*sinf*z2^2 + 7485240*ln2^2*z2^3 + 1725360*ln2*sinf*z2^3 - 
    16492656*z2^4 - 106646400*li5half*z3 - 22579200*li4half*ln2*z3 - 
    240240*ln2^5*z3 + 8467200*li4half*sinf*z3 + 117600*ln2^4*sinf*z3 - 
    1654800*ln2^3*z2*z3 - 882000*ln2^2*sinf*z2*z3 - 51106860*ln2*z2^2*z3 - 
    12038040*sinf*z2^2*z3 - 6492150*ln2^2*z3^2 - 15498000*ln2*sinf*z3^2 - 
    43819650*z2*z3^2 + 6673800*ln2^3*z5 - 39204900*ln2^2*sinf*z5 - 
    109305000*ln2*z2*z5 - 90852300*sinf*z2*z5 + 103179825*z3*z5 + 
    234750600*sinf*z7)/2822400, H[1, -1, 1, -1, 1, 0, 1, -1, 1] -> 
  (9455040000*li8half + 282240000*li7half*ln2 - 719712000*li6half*ln2^2 - 
    150528000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 154700*ln2^8 - 
    1583064000*ln2^2*s6 + 68544000*ln2*s7a + 26208000*ln2*s7b + 
    3333604050*s8a + 20773872000*s8b + 2316384000*s8c + 1839600000*s8d - 
    3612672000*li7half*sinf - 1439424000*li6half*ln2*sinf - 
    225792000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    184800*ln2^7*sinf + 29232000*ln2*s6*sinf - 741888000*s7a*sinf + 
    951552000*s7b*sinf + 719712000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2763600*ln2^6*z2 - 5400864000*s6*z2 + 
    225792000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    3057600*ln2^5*sinf*z2 + 393321600*li4half*z2^2 - 29152200*ln2^4*z2^2 - 
    31869600*ln2^3*sinf*z2^2 + 223650000*ln2^2*z2^3 - 
    57103200*ln2*sinf*z2^3 - 691043832*z2^4 - 4469472000*li5half*z3 - 
    225792000*li4half*ln2*z3 + 26896800*ln2^5*z3 - 28224000*li4half*sinf*z3 - 
    2352000*ln2^4*sinf*z3 - 258972000*ln2^3*z2*z3 + 
    24696000*ln2^2*sinf*z2*z3 - 2854920600*ln2*z2^2*z3 - 
    262987200*sinf*z2^2*z3 - 133560000*ln2^2*z3^2 - 657909000*ln2*sinf*z3^2 - 
    2629431000*z2*z3^2 + 185073000*ln2^3*z5 - 1424430000*ln2^2*sinf*z5 - 
    7380261000*ln2*z2*z5 - 3064194000*sinf*z2*z5 + 3463409250*z3*z5 - 
    147538125*ln2*z7 + 8028972000*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 0, 0, 1, 1] -> (-225792000*li8half - 5600*ln2^8 + 
    195552000*ln2^2*s6 - 315729225*s8a - 2044224000*s8b - 249984000*s8c - 
    194544000*s8d + 56448000*li7half*sinf - 11200*ln2^7*sinf + 
    51408000*ln2*s6*sinf + 89712000*s7a*sinf - 129024000*s7b*sinf - 
    84672000*li6half*z2 + 39200*ln2^6*z2 + 561960000*s6*z2 + 
    235200*ln2^5*sinf*z2 - 38908800*li4half*z2^2 + 2377200*ln2^4*z2^2 + 
    2822400*ln2^3*sinf*z2^2 - 52525200*ln2^2*z2^3 - 22596000*ln2*sinf*z2^3 + 
    12323424*z2^4 + 389088000*li5half*z3 - 3948000*ln2^5*z3 - 
    882000*ln2^4*sinf*z3 + 48888000*ln2^3*z2*z3 + 19404000*ln2^2*sinf*z2*z3 + 
    281484000*ln2*z2^2*z3 + 32684400*sinf*z2^2*z3 - 13356000*ln2^2*z3^2 + 
    57456000*ln2*sinf*z3^2 + 370503000*z2*z3^2 - 86730000*ln2^3*z5 + 
    81805500*ln2^2*sinf*z5 + 1010142000*ln2*z2*z5 + 544162500*sinf*z2*z5 - 
    708269625*z3*z5 - 920611125*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 0, 0, 0, 1] -> (-12432000*ln2^2*s6 + 34061475*s8a + 
    160608000*s8b + 24864000*s8c - 1344000*s8d - 9072000*s6*z2 - 
    268800*li4half*z2^2 - 716800*ln2^4*z2^2 - 548800*ln2^3*sinf*z2^2 + 
    336000*ln2^2*z2^3 - 2671200*ln2*sinf*z2^3 + 4564236*z2^4 + 
    2688000*li5half*z3 - 22400*ln2^5*z3 - 2716000*ln2^3*z2*z3 - 
    1764000*ln2^2*sinf*z2*z3 - 36502200*ln2*z2^2*z3 - 5997600*sinf*z2^2*z3 + 
    31500*ln2^2*z3^2 + 7056000*ln2*sinf*z3^2 - 38860500*z2*z3^2 + 
    6272000*ln2^3*z5 + 9408000*ln2^2*sinf*z5 - 119868000*ln2*z2*z5 - 
    18228000*sinf*z2*z5 + 70074375*z3*z5 + 47040000*sinf*z7)/9408000, 
 H[1, -1, 1, -1, 1, 0, 0, -1, 1] -> (40320000*li8half + 8064000*li7half*ln2 - 
    600*ln2^8 + 40176000*ln2^2*s6 + 144000*ln2*s7a + 9216000*ln2*s7b - 
    66561075*s8a - 301392000*s8b - 60480000*s8c - 21168000*s8d + 
    7488000*ln2*s6*sinf + 12672000*s7a*sinf - 27648000*s7b*sinf - 
    6048000*li6half*z2 - 2800*ln2^6*z2 + 74592000*s6*z2 - 
    4233600*li4half*z2^2 - 319200*ln2^4*z2^2 - 84000*ln2^3*sinf*z2^2 - 
    18549600*ln2^2*z2^3 - 9084000*ln2*sinf*z2^3 - 9749352*z2^4 + 
    42336000*li5half*z3 - 252000*ln2^5*z3 + 126000*ln2^4*sinf*z3 + 
    3192000*ln2^3*z2*z3 + 252000*ln2^2*sinf*z2*z3 + 43416000*ln2*z2^2*z3 + 
    7293600*sinf*z2^2*z3 + 11583000*ln2^2*z3^2 + 15588000*ln2*sinf*z3^2 + 
    59881500*z2*z3^2 - 9418500*ln2^3*z5 + 38115000*ln2^2*sinf*z5 + 
    155974500*ln2*z2*z5 + 85437000*sinf*z2*z5 - 93499875*z3*z5 + 
    88300125*ln2*z7 - 139554000*sinf*z7)/4032000, 
 H[1, -1, 1, -1, 1, 0, -1, 1, 1] -> 
  (-8382528000*li8half + 719712000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 125300*ln2^8 + 1396584000*ln2^2*s6 - 
    2897790525*s8a - 18570888000*s8b - 2080512000*s8c - 1581552000*s8d + 
    3358656000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    225792000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    117600*ln2^7*sinf + 55440000*ln2*s6*sinf + 678384000*s7a*sinf - 
    866880000*s7b*sinf - 719712000*li6half*z2 - 451584000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 2332400*ln2^6*z2 + 4637808000*s6*z2 - 
    225792000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    2352000*ln2^5*sinf*z2 - 341712000*li4half*z2^2 + 30891000*ln2^4*z2^2 + 
    31164000*ln2^3*sinf*z2^2 - 145731600*ln2^2*z2^3 + 
    71114400*ln2*sinf*z2^3 + 567255096*z2^4 + 3953376000*li5half*z3 + 
    225792000*li4half*ln2*z3 - 24477600*ln2^5*z3 + 28224000*li4half*sinf*z3 + 
    234780000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 + 
    2523830400*ln2*z2^2*z3 + 236174400*sinf*z2^2*z3 + 122566500*ln2^2*z3^2 + 
    565740000*ln2*sinf*z3^2 + 2418349500*z2*z3^2 - 256956000*ln2^3*z5 + 
    1111540500*ln2^2*sinf*z5 + 6935670000*ln2*z2*z5 + 2980183500*sinf*z2*z5 - 
    3073982625*z3*z5 - 7657209000*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 0, -1, 0, 1] -> 
  (-169344000*li4half^2 + 1693440000*li8half - 225792000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 28224000*li4half*ln2^4 - 526400*ln2^8 - 
    396144000*ln2^2*s6 + 804876975*s8a + 5035464000*s8b + 538272000*s8c + 
    491904000*s8d - 903168000*li7half*sinf - 451584000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    291200*ln2^7*sinf - 52416000*ln2*s6*sinf - 201600000*s7a*sinf + 
    306432000*s7b*sinf - 183456000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 3822000*ln2^6*z2 - 1495368000*s6*z2 + 
    940800*ln2^5*sinf*z2 + 166118400*li4half*z2^2 - 8160600*ln2^4*z2^2 - 
    6468000*ln2^3*sinf*z2^2 + 85293600*ln2^2*z2^3 + 2805600*ln2*sinf*z2^3 - 
    93985944*z2^4 - 1012032000*li5half*z3 - 225792000*li4half*ln2*z3 - 
    2385600*ln2^5*z3 + 84672000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 - 
    51996000*ln2^3*z2*z3 - 33516000*ln2^2*sinf*z2*z3 - 
    646090200*ln2*z2^2*z3 - 129200400*sinf*z2^2*z3 - 46588500*ln2^2*z3^2 - 
    109116000*ln2*sinf*z3^2 - 692118000*z2*z3^2 + 97314000*ln2^3*z5 - 
    346185000*ln2^2*sinf*z5 - 1901466000*ln2*z2*z5 - 1060227000*sinf*z2*z5 + 
    1271032875*z3*z5 + 2632392000*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, 0, -1, -1, 1] -> 
  (-338688000*li8half - 225792000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    2800*ln2^8 + 148176000*ln2^2*s6 - 40320000*ln2*s7a + 44352000*ln2*s7b - 
    208035450*s8a - 1257984000*s8b - 201600000*s8c - 66528000*s8d - 
    56448000*li7half*sinf + 11200*ln2^7*sinf + 40320000*ln2*s6*sinf - 
    40320000*s7a*sinf - 54432000*s7b*sinf + 28224000*li5half*ln2*z2 - 
    352800*ln2^6*z2 + 267120000*s6*z2 + 28224000*li5half*sinf*z2 - 
    470400*ln2^5*sinf*z2 - 13305600*li4half*z2^2 - 2024400*ln2^4*z2^2 - 
    1411200*ln2^3*sinf*z2^2 - 45024000*ln2^2*z2^3 - 16514400*ln2*sinf*z2^3 - 
    28976592*z2^4 + 41328000*li5half*z3 + 1380400*ln2^5*z3 + 
    2156000*ln2^4*sinf*z3 - 13804000*ln2^3*z2*z3 - 
    12936000*ln2^2*sinf*z2*z3 + 93550800*ln2*z2^2*z3 + 
    11650800*sinf*z2^2*z3 + 69016500*ln2^2*z3^2 + 27363000*ln2*sinf*z3^2 + 
    154948500*z2*z3^2 - 53508000*ln2^3*z5 + 56448000*ln2^2*sinf*z5 + 
    399987000*ln2*z2*z5 + 131229000*sinf*z2*z5 + 121096500*z3*z5 + 
    702150750*ln2*z7 - 256307625*sinf*z7)/18816000, 
 H[1, -1, 1, -1, 1, -1, 1, 1, 1] -> 
  (-84672000*li8half + 42336000*li6half*ln2^2 + 28224000*li5half*ln2^3 + 
    10584000*li4half*ln2^4 + 267400*ln2^8 - 19656000*ln2^2*s6 + 
    23851800*s8a + 114912000*s8b + 18144000*s8c + 3024000*s8d + 
    84672000*li7half*sinf + 84672000*li6half*ln2*sinf + 
    42336000*li5half*ln2^2*sinf + 14112000*li4half*ln2^3*sinf + 
    341600*ln2^7*sinf - 18144000*ln2*s6*sinf - 3024000*s7a*sinf + 
    18144000*s7b*sinf - 42336000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    63504000*li4half*ln2^2*z2 - 3253600*ln2^6*z2 - 6048000*s6*z2 - 
    42336000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*z2 - 
    2940000*ln2^5*sinf*z2 - 18446400*li4half*z2^2 + 8786400*ln2^4*z2^2 + 
    7173600*ln2^3*sinf*z2^2 + 6602400*ln2^2*z2^3 + 2923200*ln2*sinf*z2^3 + 
    16429428*z2^4 + 142128000*li5half*z3 + 169344000*li4half*ln2*z3 + 
    9046800*ln2^5*z3 + 21168000*li4half*sinf*z3 + 4263000*ln2^4*sinf*z3 - 
    62244000*ln2^3*z2*z3 - 25578000*ln2^2*sinf*z2*z3 - 34889400*ln2*z2^2*z3 - 
    11125800*sinf*z2^2*z3 + 87633000*ln2^2*z3^2 + 14301000*ln2*sinf*z3^2 - 
    107100000*z2*z3^2 + 24843000*ln2^3*z5 + 2646000*ln2^2*sinf*z5 - 
    128961000*ln2*z2*z5 - 77112000*sinf*z2*z5 + 142143750*z3*z5 + 
    112777875*sinf*z7)/28224000, H[1, -1, 1, -1, 1, -1, 1, 0, 1] -> 
  (21168000*li8half + 525*ln2^8 + 2268000*ln2^2*s6 - 5962950*s8a - 
    28728000*s8b - 4536000*s8c - 756000*s8d + 24500*ln2^6*z2 + 
    4158000*s6*z2 + 29400*ln2^5*sinf*z2 - 151200*li4half*z2^2 + 
    1050*ln2^4*z2^2 + 117600*ln2^3*sinf*z2^2 - 1738800*ln2^2*z2^3 + 
    415800*ln2*sinf*z2^3 - 2470302*z2^4 + 1512000*li5half*z3 - 
    247800*ln2^5*z3 - 294000*ln2^4*sinf*z3 + 4389000*ln2^3*z2*z3 + 
    2205000*ln2^2*sinf*z2*z3 + 7355250*ln2*z2^2*z3 - 7300125*ln2^2*z3^2 - 
    1764000*ln2*sinf*z3^2 + 14151375*z2*z3^2 - 2352000*ln2^3*z5 - 
    3528000*ln2^2*sinf*z5 + 29704500*ln2*z2*z5 + 4189500*sinf*z2*z5 - 
    31539375*z3*z5 - 7056000*sinf*z7)/7056000, 
 H[1, -1, 1, -1, 1, -1, 1, -1, 1] -> 
  (-35*ln2^8 - 40*ln2^7*sinf + 980*ln2^6*z2 + 840*ln2^5*sinf*z2 + 
    1050*ln2^4*z2^2 - 840*ln2^3*sinf*z2^2 + 12780*ln2^2*z2^3 + 
    1800*ln2*sinf*z2^3 + 11349*z2^4 - 5040*ln2^5*z3 - 2100*ln2^4*sinf*z3 + 
    50400*ln2^3*z2*z3 + 12600*ln2^2*sinf*z2*z3 - 1260*sinf*z2^2*z3 - 
    53550*ln2^2*z3^2 - 6300*ln2*sinf*z3^2 + 53550*z2*z3^2 - 79800*ln2^3*z5 - 
    18900*ln2^2*sinf*z5 + 239400*ln2*z2*z5 + 18900*sinf*z2*z5 - 
    166950*z3*z5 - 403200*ln2*z7 - 28350*sinf*z7)/201600, 
 H[1, -1, 1, -1, 1, -1, 0, 1, 1] -> 
  (287884800*li8half - 45158400*li6half*ln2^2 - 15052800*li5half*ln2^3 - 
    2822400*li4half*ln2^4 - 47740*ln2^8 - 38304000*ln2^2*s6 + 74993625*s8a + 
    448257600*s8b + 54028800*s8c + 32054400*s8d - 163699200*li7half*sinf - 
    90316800*li6half*ln2*sinf - 22579200*li5half*ln2^2*sinf - 
    3763200*li4half*ln2^3*sinf - 61600*ln2^7*sinf + 604800*ln2*s6*sinf - 
    23184000*s7a*sinf + 26208000*s7b*sinf + 45158400*li6half*z2 + 
    45158400*li5half*ln2*z2 + 16934400*li4half*ln2^2*z2 + 623280*ln2^6*z2 - 
    95860800*s6*z2 + 22579200*li5half*sinf*z2 + 11289600*li4half*ln2*sinf*
     z2 + 588000*ln2^5*sinf*z2 + 11491200*li4half*z2^2 - 1549800*ln2^4*z2^2 - 
    1387680*ln2^3*sinf*z2^2 + 2509920*ln2^2*z2^3 - 1985760*ln2*sinf*z2^3 - 
    23404824*z2^4 - 143136000*li5half*z3 - 45158400*li4half*ln2*z3 - 
    1300320*ln2^5*z3 - 5644800*li4half*sinf*z3 - 999600*ln2^4*sinf*z3 + 
    7828800*ln2^3*z2*z3 + 6703200*ln2^2*sinf*z2*z3 - 63156240*ln2*z2^2*z3 - 
    6017760*sinf*z2^2*z3 - 22768200*ln2^2*z3^2 - 22629600*ln2*sinf*z3^2 - 
    38316600*z2*z3^2 + 235200*ln2^3*z5 - 47495700*ln2^2*sinf*z5 - 
    151502400*ln2*z2*z5 - 77823900*sinf*z2*z5 + 35228025*z3*z5 + 
    246142575*sinf*z7)/5644800, H[1, -1, 1, -1, 1, -1, 0, 0, 1] -> 
  (-56448000*li8half - 1400*ln2^8 - 32256000*ln2^2*s6 + 84273525*s8a + 
    370944000*s8b + 64512000*s8c - 1008000*s8d + 39200*ln2^6*z2 - 
    29736000*s6*z2 - 201600*li4half*z2^2 - 2007600*ln2^4*z2^2 - 
    2234400*ln2^3*sinf*z2^2 + 9752400*ln2^2*z2^3 - 4485600*ln2*sinf*z2^3 + 
    16520184*z2^4 + 2016000*li5half*z3 + 688800*ln2^5*z3 + 
    882000*ln2^4*sinf*z3 - 18648000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 - 
    96591600*ln2*z2^2*z3 - 5644800*sinf*z2^2*z3 + 21798000*ln2^2*z3^2 + 
    19404000*ln2*sinf*z3^2 - 123354000*z2*z3^2 + 17640000*ln2^3*z5 + 
    26460000*ln2^2*sinf*z5 - 288792000*ln2*z2*z5 - 40572000*sinf*z2*z5 + 
    215546625*z3*z5 + 83349000*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, -1, 0, -1, 1] -> 
  (2145024000*li8half + 84672000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 238000*ln2^8 - 
    199584000*ln2^2*s6 - 3024000*ln2*s7a + 18144000*ln2*s7b + 470387925*s8a + 
    3353112000*s8b + 292320000*s8c + 286272000*s8d - 903168000*li7half*sinf - 
    451584000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 291200*ln2^7*sinf - 112896000*s7a*sinf + 
    112896000*s7b*sinf + 225792000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2881200*ln2^6*z2 - 805392000*s6*z2 + 
    112896000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    2469600*ln2^5*sinf*z2 + 82656000*li4half*z2^2 - 13137600*ln2^4*z2^2 - 
    12465600*ln2^3*sinf*z2^2 - 20286000*ln2^2*z2^3 - 40773600*ln2*sinf*z2^3 - 
    180712512*z2^4 - 967680000*li5half*z3 - 225792000*li4half*ln2*z3 - 
    1579200*ln2^5*z3 - 28224000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 - 
    15960000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 - 
    450487800*ln2*z2^2*z3 - 23108400*sinf*z2^2*z3 - 25483500*ln2^2*z3^2 - 
    88200000*ln2*sinf*z3^2 - 344704500*z2*z3^2 + 51229500*ln2^3*z5 - 
    111132000*ln2^2*sinf*z5 - 1117903500*ln2*z2*z5 - 443646000*sinf*z2*z5 + 
    476303625*z3*z5 + 165256875*ln2*z7 + 1398852000*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 1, -1, -1, 1, 1] -> 
  (-338688000*li8half + 84672000*li6half*ln2^2 + 28224000*li5half*ln2^3 - 
    130900*ln2^8 + 117936000*ln2^2*s6 - 69254325*s8a - 869400000*s8b - 
    66528000*s8c - 60480000*s8d + 254016000*li7half*sinf + 
    169344000*li6half*ln2*sinf + 42336000*li5half*ln2^2*sinf - 
    173600*ln2^7*sinf + 105840000*ln2*s6*sinf + 63504000*s7a*sinf - 
    84672000*s7b*sinf - 84672000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    1548400*ln2^6*z2 + 99792000*s6*z2 - 42336000*li5half*sinf*z2 + 
    1528800*ln2^5*sinf*z2 - 12096000*li4half*z2^2 - 5649000*ln2^4*z2^2 - 
    3645600*ln2^3*sinf*z2^2 - 8694000*ln2^2*z2^3 - 4334400*ln2*sinf*z2^3 + 
    5399388*z2^4 + 269136000*li5half*z3 - 5418000*ln2^5*z3 - 
    3381000*ln2^4*sinf*z3 + 54180000*ln2^3*z2*z3 + 
    20286000*ln2^2*sinf*z2*z3 + 157563000*ln2*z2^2*z3 + 
    22314600*sinf*z2^2*z3 - 108612000*ln2^2*z3^2 + 5733000*ln2*sinf*z3^2 + 
    192339000*z2*z3^2 - 134211000*ln2^3*z5 - 43659000*ln2^2*sinf*z5 + 
    573993000*ln2*z2*z5 + 440559000*sinf*z2*z5 - 368368875*z3*z5 - 
    889056000*sinf*z7)/28224000, H[1, -1, 1, -1, 1, -1, -1, 0, 1] -> 
  (-127008000*li4half^2 - 56448000*li8half - 14112000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 310100*ln2^8 - 
    53424000*ln2^2*s6 + 84273525*s8a + 370944000*s8b + 64512000*s8c - 
    1008000*s8d - 28224000*li7half*sinf - 28224000*li6half*ln2*sinf - 
    14112000*li5half*ln2^2*sinf - 4704000*li4half*ln2^3*sinf - 
    112000*ln2^7*sinf - 46368000*ln2*s6*sinf + 4032000*s7a*sinf + 
    46368000*s7b*sinf - 70560000*li6half*z2 - 98784000*li5half*ln2*z2 + 
    999600*ln2^6*z2 + 12600000*s6*z2 - 28224000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 588000*ln2^5*sinf*z2 + 
    37900800*li4half*z2^2 + 2725800*ln2^4*z2^2 + 4233600*ln2^3*sinf*z2^2 + 
    4939200*ln2^2*z2^3 + 6451200*ln2*sinf*z2^3 + 30837564*z2^4 + 
    90216000*li5half*z3 - 56448000*li4half*ln2*z3 - 2986200*ln2^5*z3 + 
    77616000*li4half*sinf*z3 + 3381000*ln2^4*sinf*z3 - 18060000*ln2^3*z2*z3 - 
    40572000*ln2^2*sinf*z2*z3 - 55402200*ln2*z2^2*z3 - 
    50463000*sinf*z2^2*z3 + 22900500*ln2^2*z3^2 + 61929000*ln2*sinf*z3^2 - 
    188401500*z2*z3^2 + 36750000*ln2^3*z5 + 14112000*ln2^2*sinf*z5 - 
    401467500*ln2*z2*z5 - 215806500*sinf*z2*z5 + 304683750*z3*z5 + 
    481068000*sinf*z7)/28224000, H[1, -1, 1, -1, 1, -1, -1, -1, 1] -> 
  (366912000*li8half - 98784000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 + 43400*ln2^8 - 9576000*ln2^2*s6 + 26165475*s8a + 
    242424000*s8b - 44352000*s8c + 65520000*s8d - 282240000*li7half*sinf - 
    197568000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf - 
    4704000*li4half*ln2^3*sinf + 61600*ln2^7*sinf + 5040000*ln2*s6*sinf - 
    68544000*s7a*sinf - 26208000*s7b*sinf + 98784000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 - 509600*ln2^6*z2 - 
    109872000*s6*z2 + 56448000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*
     z2 - 588000*ln2^5*sinf*z2 + 19454400*li4half*z2^2 + 2721600*ln2^4*z2^2 + 
    1293600*ln2^3*sinf*z2^2 - 11541600*ln2^2*z2^3 - 15069600*ln2*sinf*z2^3 - 
    88292124*z2^4 - 328608000*li5half*z3 - 56448000*li4half*ln2*z3 + 
    2738400*ln2^5*z3 - 7056000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 - 
    36792000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 - 99111600*ln2*z2^2*z3 + 
    5947200*sinf*z2^2*z3 + 115164000*ln2^2*z3^2 + 19278000*ln2*sinf*z3^2 - 
    29358000*z2*z3^2 + 65856000*ln2^3*z5 + 43659000*ln2^2*sinf*z5 - 
    8064000*ln2*z2*z5 + 19215000*sinf*z2*z5 + 385693875*z3*z5 + 
    276948000*ln2*z7 + 95059125*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 0, 1, 1, 1, 1] -> (-4233600*li4half^2 + 50803200*li8half - 
    9878400*li6half*ln2^2 - 2822400*li5half*ln2^3 - 352800*li4half*ln2^4 + 
    3710*ln2^8 - 22125600*ln2^2*s6 + 36585675*s8a + 175240800*s8b + 
    30844800*s8c + 3729600*s8d - 33868800*li7half*sinf - 
    19756800*li6half*ln2*sinf - 4233600*li5half*ln2^2*sinf + 
    14560*ln2^7*sinf - 7257600*ln2*s6*sinf - 6148800*s7a*sinf + 
    14313600*s7b*sinf + 9878400*li6half*z2 + 8467200*li5half*ln2*z2 + 
    2116800*li4half*ln2^2*z2 - 33320*ln2^6*z2 - 18043200*s6*z2 + 
    4233600*li5half*sinf*z2 - 117600*ln2^5*sinf*z2 + 1380960*li4half*z2^2 + 
    151620*ln2^4*z2^2 + 164640*ln2^3*sinf*z2^2 + 4467960*ln2^2*z2^3 + 
    1617840*ln2*sinf*z2^3 - 1260594*z2^4 - 22276800*li5half*z3 - 
    5644800*li4half*ln2*z3 + 115080*ln2^5*z3 + 1764000*li4half*sinf*z3 + 
    279300*ln2^4*sinf*z3 - 2091600*ln2^3*z2*z3 - 1675800*ln2^2*sinf*z2*z3 - 
    35886060*ln2*z2^2*z3 - 7898940*sinf*z2^2*z3 - 4447800*ln2^2*z3^2 - 
    2967300*ln2*sinf*z3^2 - 28293300*z2*z3^2 + 4895100*ln2^3*z5 - 
    12480300*ln2^2*sinf*z5 - 107219700*ln2*z2*z5 - 50028300*sinf*z2*z5 + 
    39280500*z3*z5 + 120301650*sinf*z7)/2822400, 
 H[1, -1, 1, -1, 0, 1, 1, 0, 1] -> (94752000*ln2^2*s6 - 279165600*s8a - 
    440496000*s8b - 245952000*s8c + 260064000*s8d + 34272000*ln2*s6*sinf - 
    90720000*s7a*sinf + 22176000*s7b*sinf - 395136000*li6half*z2 - 
    254016000*li5half*ln2*z2 + 1568000*ln2^6*z2 - 625968000*s6*z2 - 
    84672000*li5half*sinf*z2 + 705600*ln2^5*sinf*z2 + 52012800*li4half*z2^2 - 
    7240800*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 + 6098400*ln2^2*z2^3 + 
    7912800*ln2*sinf*z2^3 - 12401856*z2^4 - 244944000*li5half*z3 + 
    2041200*ln2^5*z3 + 44268000*ln2^3*z2*z3 + 38808000*ln2^2*sinf*z2*z3 + 
    278434800*ln2*z2^2*z3 + 64360800*sinf*z2^2*z3 + 38776500*ln2^2*z3^2 - 
    105021000*ln2*sinf*z3^2 + 277294500*z2*z3^2 - 15582000*ln2^3*z5 - 
    132741000*ln2^2*sinf*z5 + 1046556000*ln2*z2*z5 + 42021000*sinf*z2*z5 - 
    203238000*z3*z5 - 230603625*sinf*z7)/56448000, 
 H[1, -1, 1, -1, 0, 1, 1, -1, 1] -> 
  (-17894016000*li8half - 508032000*li7half*ln2 + 874944000*li6half*ln2^2 + 
    131712000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 362600*ln2^8 + 
    3209472000*ln2^2*s6 - 92736000*ln2*s7a + 76608000*ln2*s7b - 
    7501074525*s8a - 44510760000*s8b - 5372640000*s8c - 3842496000*s8d + 
    5588352000*li7half*sinf + 1749888000*li6half*ln2*sinf + 
    197568000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    459200*ln2^7*sinf - 354816000*ln2*s6*sinf + 1215648000*s7a*sinf - 
    1592640000*s7b*sinf - 874944000*li6half*z2 - 395136000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 7212800*ln2^6*z2 + 11862144000*s6*z2 - 
    197568000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    9172800*ln2^5*sinf*z2 - 793900800*li4half*z2^2 + 114979200*ln2^4*z2^2 + 
    97843200*ln2^3*sinf*z2^2 - 524664000*ln2^2*z2^3 + 
    157550400*ln2*sinf*z2^3 + 1221717456*z2^4 + 8376480000*li5half*z3 + 
    225792000*li4half*ln2*z3 - 65335200*ln2^5*z3 + 28224000*li4half*sinf*z3 - 
    4998000*ln2^4*sinf*z3 + 606312000*ln2^3*z2*z3 + 
    19404000*ln2^2*sinf*z2*z3 + 6177767400*ln2*z2^2*z3 + 
    466880400*sinf*z2^2*z3 + 442701000*ln2^2*z3^2 + 
    1125747000*ln2*sinf*z3^2 + 5942538000*z2*z3^2 - 298410000*ln2^3*z5 + 
    2518992000*ln2^2*sinf*z5 + 16290666000*ln2*z2*z5 + 
    4967676000*sinf*z2*z5 - 7773530625*z3*z5 + 103761000*ln2*z7 - 
    13100708250*sinf*z7)/56448000, H[1, -1, 1, -1, 0, 1, 0, 1, 1] -> 
  (169344000*li4half^2 - 1241856000*li8half + 225792000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 537600*ln2^8 + 
    304416000*ln2^2*s6 - 418318425*s8a - 2774016000*s8b - 383040000*s8c - 
    160272000*s8d + 790272000*li7half*sinf + 451584000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    313600*ln2^7*sinf + 109872000*ln2*s6*sinf + 115920000*s7a*sinf - 
    243936000*s7b*sinf - 479808000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 4586400*ln2^6*z2 + 429912000*s6*z2 + 
    28224000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 - 139305600*li4half*z2^2 + 1957200*ln2^4*z2^2 - 
    13171200*ln2^3*sinf*z2^2 - 7282800*ln2^2*z2^3 - 5846400*ln2*sinf*z2^3 + 
    94242312*z2^4 + 433440000*li5half*z3 + 225792000*li4half*ln2*z3 + 
    9088800*ln2^5*z3 - 42336000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 - 
    22680000*ln2^3*z2*z3 + 31752000*ln2^2*sinf*z2*z3 + 
    276973200*ln2*z2^2*z3 + 77187600*sinf*z2^2*z3 + 122220000*ln2^2*z3^2 + 
    84042000*ln2*sinf*z3^2 + 436338000*z2*z3^2 - 72324000*ln2^3*z5 + 
    240124500*ln2^2*sinf*z5 + 1366092000*ln2*z2*z5 + 791752500*sinf*z2*z5 - 
    153208125*z3*z5 - 2118060000*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 0, 1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    11088000*ln2^2*s6 + 26855325*s8a + 65772000*s8b + 36288000*s8c - 
    43344000*s8d + 6048000*ln2*s6*sinf + 8064000*s7a*sinf - 
    20160000*s7b*sinf + 225792000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 666400*ln2^6*z2 + 210168000*s6*z2 + 
    56448000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 - 18547200*li4half*z2^2 - 5829600*ln2^4*z2^2 - 
    5174400*ln2^3*sinf*z2^2 + 6711600*ln2^2*z2^3 + 5082000*ln2*sinf*z2^3 - 
    8320338*z2^4 - 26208000*li5half*z3 + 218400*ln2^5*z3 - 
    14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 6636000*ln2^3*z2*z3 + 
    8820000*ln2^2*sinf*z2*z3 - 92446200*ln2*z2^2*z3 - 12814200*sinf*z2^2*z3 - 
    4441500*ln2^2*z3^2 + 11403000*ln2*sinf*z3^2 - 72418500*z2*z3^2 - 
    3087000*ln2^3*z5 + 22711500*ln2^2*sinf*z5 - 318559500*ln2*z2*z5 - 
    8253000*sinf*z2*z5 + 83412000*z3*z5 - 12088125*sinf*z7)/14112000, 
 H[1, -1, 1, -1, 0, 1, 0, -1, 1] -> 
  (451584000*li4half^2 + 2257920000*li8half - 225792000*li7half*ln2 - 
    451584000*li6half*ln2^2 - 150528000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 336000*ln2^8 - 162288000*ln2^2*s6 + 
    231840000*ln2*s7a + 415296000*ln2*s7b + 121569525*s8a + 2029608000*s8b - 
    364896000*s8c + 675360000*s8d - 1806336000*li7half*sinf - 
    903168000*li6half*ln2*sinf - 225792000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 582400*ln2^7*sinf + 225792000*ln2*s6*sinf - 
    451584000*s7a*sinf + 197568000*li6half*z2 + 451584000*li5half*ln2*z2 - 
    2077600*ln2^6*z2 - 1442448000*s6*z2 + 366912000*li5half*sinf*z2 + 
    225792000*li4half*ln2*sinf*z2 + 8232000*ln2^5*sinf*z2 - 
    152812800*li4half*z2^2 - 13599600*ln2^4*z2^2 - 42571200*ln2^3*sinf*z2^2 + 
    61538400*ln2^2*z2^3 - 111888000*ln2*sinf*z2^3 - 500653296*z2^4 - 
    2317392000*li5half*z3 + 141120000*li4half*ln2*z3 + 25191600*ln2^5*z3 - 
    112896000*li4half*sinf*z3 - 4704000*ln2^4*sinf*z3 - 
    197820000*ln2^3*z2*z3 + 74088000*ln2^2*sinf*z2*z3 - 
    901492200*ln2*z2^2*z3 + 10936800*sinf*z2^2*z3 + 544855500*ln2^2*z3^2 - 
    156996000*ln2*sinf*z3^2 + 75883500*z2*z3^2 - 33075000*ln2^3*z5 - 
    220500000*ln2^2*sinf*z5 - 564921000*ln2*z2*z5 - 275625000*sinf*z2*z5 + 
    2323038375*z3*z5 + 4062618000*ln2*z7 + 1332702000*sinf*z7)/56448000, 
 H[1, -1, 1, -1, 0, 1, -1, 1, 1] -> 
  (17357760000*li8half - 776160000*li6half*ln2^2 - 47040000*li5half*ln2^3 - 
    255500*ln2^8 - 2907576000*ln2^2*s6 + 7201407150*s8a + 43222032000*s8b + 
    5017824000*s8c + 3964464000*s8d - 5249664000*li7half*sinf - 
    1354752000*li6half*ln2*sinf - 70560000*li5half*ln2^2*sinf - 
    252000*ln2^7*sinf + 457632000*ln2*s6*sinf - 1191456000*s7a*sinf + 
    1574496000*s7b*sinf + 776160000*li6half*z2 + 141120000*li5half*ln2*z2 + 
    5390000*ln2^6*z2 - 12021408000*s6*z2 + 70560000*li5half*sinf*z2 + 
    6938400*ln2^5*sinf*z2 + 792892800*li4half*z2^2 - 104172600*ln2^4*z2^2 - 
    95608800*ln2^3*sinf*z2^2 + 467334000*ln2^2*z2^3 - 
    155736000*ln2*sinf*z2^3 - 1266946056*z2^4 - 8175888000*li5half*z3 + 
    68132400*ln2^5*z3 - 596652000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 - 
    5751358200*ln2*z2^2*z3 - 450903600*sinf*z2^2*z3 - 522175500*ln2^2*z3^2 - 
    1214136000*ln2*sinf*z3^2 - 5643571500*z2*z3^2 + 14847000*ln2^3*z5 - 
    2657245500*ln2^2*sinf*z5 - 15098013000*ln2*z2*z5 - 
    4733788500*sinf*z2*z5 + 7542706500*z3*z5 + 12528959625*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 0, 1, -1, 0, 1] -> 
  (338688000*li4half^2 - 15805440000*li8half + 1354752000*li6half*ln2^2 + 
    301056000*li5half*ln2^3 + 56448000*li4half*ln2^4 + 744800*ln2^8 + 
    2968560000*ln2^2*s6 - 6876640575*s8a - 41780088000*s8b - 4469472000*s8c - 
    4421088000*s8d + 7225344000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    134400*ln2^7*sinf - 193536000*ln2*s6*sinf + 1661184000*s7a*sinf - 
    2290176000*s7b*sinf + 1157184000*li6half*z2 + 705600000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 8192800*ln2^6*z2 + 13957776000*s6*z2 + 
    84672000*li5half*sinf*z2 + 1176000*ln2^5*sinf*z2 - 
    1019692800*li4half*z2^2 + 69291600*ln2^4*z2^2 + 
    89611200*ln2^3*sinf*z2^2 - 672588000*ln2^2*z2^3 + 
    117532800*ln2*sinf*z2^3 + 1268492688*z2^4 + 8679888000*li5half*z3 + 
    451584000*li4half*ln2*z3 - 53516400*ln2^5*z3 - 
    169344000*li4half*sinf*z3 - 7056000*ln2^4*sinf*z3 + 
    586908000*ln2^3*z2*z3 + 28224000*ln2^2*sinf*z2*z3 + 
    5336314200*ln2*z2^2*z3 + 706759200*sinf*z2^2*z3 + 367447500*ln2^2*z3^2 + 
    1554336000*ln2*sinf*z3^2 + 4817767500*z2*z3^2 - 321636000*ln2^3*z5 + 
    3345426000*ln2^2*sinf*z5 + 12183759000*ln2*z2*z5 + 
    6603471000*sinf*z2*z5 - 8592908625*z3*z5 - 17691534000*sinf*z7)/56448000, 
 H[1, -1, 1, -1, 0, 1, -1, -1, 1] -> 
  (-17385984000*li8half + 846720000*li7half*ln2 + 874944000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 1047200*ln2^8 + 
    2608704000*ln2^2*s6 + 260064000*ln2*s7a - 374976000*ln2*s7b - 
    6724190025*s8a - 41341608000*s8b - 4876704000*s8c - 3534048000*s8d + 
    5927040000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    1254400*ln2^7*sinf - 487872000*ln2*s6*sinf + 1221696000*s7a*sinf - 
    1925280000*s7b*sinf - 677376000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 12465600*ln2^6*z2 + 10906560000*s6*z2 - 
    197568000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    13641600*ln2^5*sinf*z2 - 732211200*li4half*z2^2 + 145009200*ln2^4*z2^2 + 
    122774400*ln2^3*sinf*z2^2 - 368575200*ln2^2*z2^3 + 
    138549600*ln2*sinf*z2^3 + 1028984976*z2^4 + 7717248000*li5half*z3 + 
    225792000*li4half*ln2*z3 - 49963200*ln2^5*z3 + 28224000*li4half*sinf*z3 + 
    7350000*ln2^4*sinf*z3 + 452592000*ln2^3*z2*z3 - 
    54684000*ln2^2*sinf*z2*z3 + 5502835800*ln2*z2^2*z3 + 
    530056800*sinf*z2^2*z3 + 1045485000*ln2^2*z3^2 + 
    1483461000*ln2*sinf*z3^2 + 5248656000*z2*z3^2 + 703983000*ln2^3*z5 + 
    3181815000*ln2^2*sinf*z5 + 15813189000*ln2*z2*z5 + 
    5948775000*sinf*z2*z5 - 5889011625*z3*z5 - 1676004750*ln2*z7 - 
    15098698125*sinf*z7)/56448000, H[1, -1, 1, -1, 0, 0, 1, 1, 1] -> 
  (-84672000*li4half^2 + 338688000*li8half - 28224000*li6half*ln2^2 - 
    7056000*li4half*ln2^4 - 177800*ln2^8 + 11592000*ln2^2*s6 + 44599275*s8a + 
    164808000*s8b + 12096000*s8c + 37296000*s8d - 169344000*li7half*sinf - 
    56448000*li6half*ln2*sinf - 44800*ln2^7*sinf + 33264000*ln2*s6*sinf + 
    2016000*s7a*sinf + 2016000*s7b*sinf + 28224000*li6half*z2 + 
    42336000*li4half*ln2^2*z2 + 2156000*ln2^6*z2 - 116928000*s6*z2 + 
    470400*ln2^5*sinf*z2 + 20160000*li4half*z2^2 - 5392800*ln2^4*z2^2 - 
    470400*ln2^3*sinf*z2^2 - 2923200*ln2^2*z2^3 - 6350400*ln2*sinf*z2^3 - 
    41678676*z2^4 - 159264000*li5half*z3 - 112896000*li4half*ln2*z3 - 
    5023200*ln2^5*z3 + 35280000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 
    31416000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 + 21193200*ln2*z2^2*z3 - 
    8694000*sinf*z2^2*z3 - 61677000*ln2^2*z3^2 - 18648000*ln2*sinf*z3^2 + 
    39879000*z2*z3^2 - 41160000*ln2^3*z5 - 61740000*ln2^2*sinf*z5 + 
    87192000*ln2*z2*z5 + 55818000*sinf*z2*z5 - 25759125*z3*z5 + 
    58731750*sinf*z7)/28224000, H[1, -1, 1, -1, 0, 0, 1, 0, 1] -> 
  (57456000*ln2^2*s6 - 141194025*s8a - 494928000*s8b - 86688000*s8c - 
    68544000*s8d - 28224000*ln2*s6*sinf + 56448000*s7a*sinf - 
    56448000*li6half*z2 - 78400*ln2^6*z2 + 122976000*s6*z2 - 
    13708800*li4half*z2^2 + 4838400*ln2^4*z2^2 + 5644800*ln2^3*sinf*z2^2 - 
    56128800*ln2^2*z2^3 - 25216800*ln2*sinf*z2^3 + 18590316*z2^4 + 
    306432000*li5half*z3 - 2553600*ln2^5*z3 + 16716000*ln2^3*z2*z3 - 
    5292000*ln2^2*sinf*z2*z3 + 185686200*ln2*z2^2*z3 + 1606500*ln2^2*z3^2 + 
    49392000*ln2*sinf*z3^2 + 104926500*z2*z3^2 - 3234000*ln2^3*z5 + 
    49833000*ln2^2*sinf*z5 + 289611000*ln2*z2*z5 + 13230000*sinf*z2*z5 - 
    462018375*z3*z5 + 46525500*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 0, 0, 1, -1, 1] -> 
  (-56448000*li8half - 16934400*li7half*ln2 + 2822400*li6half*ln2^2 + 
    5880*ln2^8 - 29584800*ln2^2*s6 - 1612800*ln2*s7a - 7257600*ln2*s7b + 
    63303975*s8a + 284155200*s8b + 56044800*s8c + 27216000*s8d + 
    5644800*li6half*ln2*sinf + 7840*ln2^7*sinf + 2520000*ln2*s6*sinf - 
    8870400*s7a*sinf + 19353600*s7b*sinf - 2822400*li6half*z2 - 
    12700800*li5half*ln2*z2 + 11760*ln2^6*z2 - 92887200*s6*z2 - 
    117600*ln2^5*sinf*z2 + 5443200*li4half*z2^2 - 522900*ln2^4*z2^2 - 
    446880*ln2^3*sinf*z2^2 + 14807520*ln2^2*z2^3 + 5690160*ln2*sinf*z2^3 + 
    5904684*z2^4 - 45964800*li5half*z3 + 383040*ln2^5*z3 - 
    5947200*ln2^3*z2*z3 - 4233600*ln2^2*sinf*z2*z3 - 43331400*ln2*z2^2*z3 - 
    5511240*sinf*z2^2*z3 - 10161900*ln2^2*z3^2 - 11617200*ln2*sinf*z3^2 - 
    56454300*z2*z3^2 + 5027400*ln2^3*z5 - 28003500*ln2^2*sinf*z5 - 
    147234150*ln2*z2*z5 - 57071700*sinf*z2*z5 + 117821025*z3*z5 - 
    7339500*ln2*z7 + 94909500*sinf*z7)/2822400, 
 H[1, -1, 1, -1, 0, 0, 0, 1, 1] -> (-74592000*ln2^2*s6 + 106852725*s8a + 
    619668000*s8b + 92736000*s8c + 41328000*s8d - 18144000*ln2*s6*sinf - 
    38304000*s7a*sinf + 39312000*s7b*sinf + 28224000*li6half*z2 + 
    39200*ln2^6*z2 - 153216000*s6*z2 + 8265600*li4half*z2^2 - 
    949200*ln2^4*z2^2 - 940800*ln2^3*sinf*z2^2 + 26720400*ln2^2*z2^3 + 
    13398000*ln2*sinf*z2^3 + 6396126*z2^4 - 124992000*li5half*z3 + 
    1041600*ln2^5*z3 - 13944000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 - 
    102589200*ln2*z2^2*z3 - 9538200*sinf*z2^2*z3 - 472500*ln2^2*z3^2 - 
    22743000*ln2*sinf*z3^2 - 126661500*z2*z3^2 + 31458000*ln2^3*z5 - 
    28003500*ln2^2*sinf*z5 - 372582000*ln2*z2*z5 - 191551500*sinf*z2*z5 + 
    264607875*z3*z5 + 292926375*sinf*z7)/14112000, 
 H[1, -1, 1, -1, 0, 0, 0, 0, 1] -> 
  (56000*ln2^2*s6 - 171675*s8a - 1176000*s8b - 112000*s8c + 56000*s6*z2 + 
    37600*ln2^2*z2^3 + 44400*ln2*sinf*z2^3 - 27408*z2^4 + 
    231000*ln2*z2^2*z3 + 79100*sinf*z2^2*z3 - 31500*ln2*sinf*z3^2 + 
    199500*z2*z3^2 - 35000*ln2^3*z5 - 52500*ln2^2*sinf*z5 + 
    777000*ln2*z2*z5 + 164500*sinf*z2*z5 - 443625*z3*z5 - 551250*sinf*z7)/
   112000, H[1, -1, 1, -1, 0, 0, 0, -1, 1] -> 
  (-140112000*ln2^2*s6 - 2016000*ln2*s7a - 37296000*ln2*s7b + 261234225*s8a + 
    1228752000*s8b + 227808000*s8c + 68544000*s8d - 20160000*ln2*s6*sinf - 
    36288000*s7a*sinf + 76608000*s7b*sinf + 14112000*li6half*z2 + 
    19600*ln2^6*z2 - 272916000*s6*z2 + 13708800*li4half*z2^2 - 
    340200*ln2^4*z2^2 - 823200*ln2^3*sinf*z2^2 + 61378800*ln2^2*z2^3 + 
    27476400*ln2*sinf*z2^3 + 35012856*z2^4 - 168840000*li5half*z3 + 
    1407000*ln2^5*z3 - 15834000*ln2^3*z2*z3 - 2646000*ln2^2*sinf*z2*z3 - 
    178050600*ln2*z2^2*z3 - 19908000*sinf*z2^2*z3 - 35217000*ln2^2*z3^2 - 
    46683000*ln2*sinf*z3^2 - 229950000*z2*z3^2 + 39175500*ln2^3*z5 - 
    101871000*ln2^2*sinf*z5 - 587758500*ln2*z2*z5 - 249291000*sinf*z2*z5 + 
    311141250*z3*z5 - 422667000*ln2*z7 + 403806375*sinf*z7)/14112000, 
 H[1, -1, 1, -1, 0, 0, -1, 1, 1] -> 
  (-564480000*li8half - 56448000*li6half*ln2^2 - 92400*ln2^8 + 
    693504000*ln2^2*s6 - 1733928525*s8a - 8282232000*s8b - 1260000000*s8c - 
    899136000*s8d + 451584000*li7half*sinf - 89600*ln2^7*sinf - 
    233856000*ln2*s6*sinf + 233856000*s7a*sinf - 443520000*s7b*sinf + 
    56448000*li6half*z2 + 254016000*li5half*ln2*z2 - 470400*ln2^6*z2 + 
    2814336000*s6*z2 + 1881600*ln2^5*sinf*z2 - 179827200*li4half*z2^2 + 
    12264000*ln2^4*z2^2 + 15288000*ln2^3*sinf*z2^2 - 350733600*ln2^2*z2^3 - 
    91425600*ln2*sinf*z2^3 + 91569456*z2^4 + 1523088000*li5half*z3 - 
    12692400*ln2^5*z3 + 169260000*ln2^3*z2*z3 + 84672000*ln2^2*sinf*z2*z3 + 
    1238643000*ln2*z2^2*z3 + 133862400*sinf*z2^2*z3 + 210703500*ln2^2*z3^2 + 
    320544000*ln2*sinf*z3^2 + 1313455500*z2*z3^2 + 173460000*ln2^3*z5 + 
    916398000*ln2^2*sinf*z5 + 3297987000*ln2*z2*z5 + 1063818000*sinf*z2*z5 - 
    2676405375*z3*z5 - 2208874500*sinf*z7)/56448000, 
 H[1, -1, 1, -1, 0, 0, -1, 0, 1] -> 
  (11088000*ln2^2*s6 - 21610575*s8a - 133056000*s8b - 18144000*s8c - 
    8064000*s8d - 4032000*ln2*s6*sinf + 8064000*s7a*sinf - 
    4032000*li6half*z2 - 5600*ln2^6*z2 + 11592000*s6*z2 - 
    1612800*li4half*z2^2 + 546000*ln2^4*z2^2 + 705600*ln2^3*sinf*z2^2 - 
    7674000*ln2^2*z2^3 - 2244000*ln2*sinf*z2^3 - 5665452*z2^4 + 
    34272000*li5half*z3 - 285600*ln2^5*z3 + 4116000*ln2^3*z2*z3 + 
    756000*ln2^2*sinf*z2*z3 + 31537800*ln2*z2^2*z3 + 856800*sinf*z2^2*z3 - 
    976500*ln2^2*z3^2 + 3024000*ln2*sinf*z3^2 + 33925500*z2*z3^2 - 
    2142000*ln2^3*z5 + 4599000*ln2^2*sinf*z5 + 116613000*ln2*z2*z5 + 
    22050000*sinf*z2*z5 - 71623125*z3*z5 - 30397500*sinf*z7)/4032000, 
 H[1, -1, 1, -1, 0, 0, -1, -1, 1] -> 
  (1241856000*li8half + 564480000*li7half*ln2 + 56448000*li6half*ln2^2 - 
    2800*ln2^8 - 262080000*ln2^2*s6 + 58464000*ln2*s7a + 72576000*ln2*s7b + 
    330874425*s8a + 2542680000*s8b + 336672000*s8c + 100800000*s8d + 
    112896000*li7half*sinf - 22400*ln2^7*sinf - 78624000*ln2*s6*sinf + 
    135072000*s7a*sinf + 149184000*s7b*sinf - 56448000*li5half*ln2*z2 + 
    784000*ln2^6*z2 - 448560000*s6*z2 - 56448000*li5half*sinf*z2 + 
    940800*ln2^5*sinf*z2 + 20160000*li4half*z2^2 + 1428000*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 + 87696000*ln2^2*z2^3 + 50097600*ln2*sinf*z2^3 + 
    57719448*z2^4 - 39312000*li5half*z3 - 2965200*ln2^5*z3 - 
    4116000*ln2^4*sinf*z3 + 29652000*ln2^3*z2*z3 + 
    24696000*ln2^2*sinf*z2*z3 - 180570600*ln2*z2^2*z3 - 
    31248000*sinf*z2^2*z3 - 219019500*ln2^2*z3^2 - 84294000*ln2*sinf*z3^2 - 
    198481500*z2*z3^2 - 132447000*ln2^3*z5 - 191835000*ln2^2*sinf*z5 - 
    990360000*ln2*z2*z5 - 383544000*sinf*z2*z5 - 782404875*z3*z5 - 
    976074750*ln2*z7 + 769860000*sinf*z7)/56448000, 
 H[1, -1, 1, -1, 0, -1, 1, 1, 1] -> 
  (-19022976000*li8half + 846720000*li6half*ln2^2 + 47040000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 275800*ln2^8 + 3059280000*ln2^2*s6 - 
    7297798725*s8a - 45109512000*s8b - 5130720000*s8c - 4084416000*s8d + 
    6152832000*li7half*sinf + 1693440000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    593600*ln2^7*sinf - 352800000*ln2*s6*sinf + 1340640000*s7a*sinf - 
    1778112000*s7b*sinf - 846720000*li6half*z2 - 141120000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 1254400*ln2^6*z2 + 12282480000*s6*z2 - 
    112896000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    705600*ln2^5*sinf*z2 - 791481600*li4half*z2^2 + 76624800*ln2^4*z2^2 + 
    80438400*ln2^3*sinf*z2^2 - 407080800*ln2^2*z2^3 + 
    187891200*ln2*sinf*z2^3 + 1319320224*z2^4 + 8415792000*li5half*z3 - 
    225792000*li4half*ln2*z3 - 84478800*ln2^5*z3 - 28224000*li4half*sinf*z3 - 
    7350000*ln2^4*sinf*z3 + 722484000*ln2^3*z2*z3 + 
    33516000*ln2^2*sinf*z2*z3 + 5909059800*ln2*z2^2*z3 + 
    509972400*sinf*z2^2*z3 + 378850500*ln2^2*z3^2 + 
    1286838000*ln2*sinf*z3^2 + 5933308500*z2*z3^2 - 175371000*ln2^3*z5 + 
    2778741000*ln2^2*sinf*z5 + 15918273000*ln2*z2*z5 + 
    5563215000*sinf*z2*z5 - 7484659875*z3*z5 - 14657847750*sinf*z7)/56448000, 
 H[1, -1, 1, -1, 0, -1, 1, 0, 1] -> 
  (-16934400*li4half^2 + 790272000*li8half - 67737600*li6half*ln2^2 - 
    15052800*li5half*ln2^3 - 2822400*li4half*ln2^4 - 37240*ln2^8 - 
    150393600*ln2^2*s6 + 338220225*s8a + 2087265600*s8b + 227404800*s8c + 
    212889600*s8d - 361267200*li7half*sinf - 135475200*li6half*ln2*sinf - 
    22579200*li5half*ln2^2*sinf - 1881600*li4half*ln2^3*sinf - 
    6720*ln2^7*sinf + 9676800*ln2*s6*sinf - 83059200*s7a*sinf + 
    114508800*s7b*sinf - 50803200*li6half*z2 - 26812800*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 + 348880*ln2^6*z2 - 665683200*s6*z2 - 
    94080*ln2^5*sinf*z2 + 49351680*li4half*z2^2 - 2797620*ln2^4*z2^2 - 
    3892560*ln2^3*sinf*z2^2 + 33624360*ln2^2*z2^3 - 5196240*ln2*sinf*z2^3 - 
    56105064*z2^4 - 422956800*li5half*z3 - 22579200*li4half*ln2*z3 + 
    2583840*ln2^5*z3 + 8467200*li4half*sinf*z3 + 352800*ln2^4*sinf*z3 - 
    30777600*ln2^3*z2*z3 - 2822400*ln2^2*sinf*z2*z3 - 266789880*ln2*z2^2*z3 - 
    35549640*sinf*z2^2*z3 - 17514000*ln2^2*z3^2 - 74894400*ln2*sinf*z3^2 - 
    251653500*z2*z3^2 + 14905800*ln2^3*z5 - 169035300*ln2^2*sinf*z5 - 
    664155450*ln2*z2*z5 - 343293300*sinf*z2*z5 + 415930725*z3*z5 + 
    900629100*sinf*z7)/2822400, H[1, -1, 1, -1, 0, -1, 1, -1, 1] -> 
  (18063360000*li8half + 366912000*li7half*ln2 - 762048000*li6half*ln2^2 - 
    61152000*li5half*ln2^3 - 173600*ln2^8 - 3139920000*ln2^2*s6 + 
    59472000*ln2*s7a - 74592000*ln2*s7b + 7395116400*s8a + 44569728000*s8b + 
    5257728000*s8c + 3999744000*s8d - 5419008000*li7half*sinf - 
    1524096000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf - 
    100800*ln2^7*sinf + 354816000*ln2*s6*sinf - 1257984000*s7a*sinf + 
    1677312000*s7b*sinf + 762048000*li6half*z2 + 183456000*li5half*ln2*z2 + 
    4586400*ln2^6*z2 - 12176640000*s6*z2 + 112896000*li5half*sinf*z2 + 
    5880000*ln2^5*sinf*z2 + 799948800*li4half*z2^2 - 95734800*ln2^4*z2^2 - 
    86318400*ln2^3*sinf*z2^2 + 520430400*ln2^2*z2^3 - 
    121060800*ln2*sinf*z2^3 - 1240695216*z2^4 - 8373456000*li5half*z3 + 
    69778800*ln2^5*z3 - 613116000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 - 
    5928804000*ln2*z2^2*z3 - 479757600*sinf*z2^2*z3 - 500314500*ln2^2*z3^2 - 
    1243053000*ln2*sinf*z3^2 - 5847313500*z2*z3^2 + 208446000*ln2^3*z5 - 
    2735964000*ln2^2*sinf*z5 - 15785595000*ln2*z2*z5 - 
    5126436000*sinf*z2*z5 + 7541273250*z3*z5 - 613312875*ln2*z7 + 
    13259799000*sinf*z7)/28224000, H[1, -1, 1, -1, 0, -1, 0, 1, 1] -> 
  (338688000*li4half^2 - 2483712000*li8half + 451584000*li6half*ln2^2 + 
    150528000*li5half*ln2^3 + 56448000*li4half*ln2^4 + 1075200*ln2^8 + 
    281232000*ln2^2*s6 - 633400425*s8a - 3932712000*s8b - 336672000*s8c - 
    453600000*s8d + 1580544000*li7half*sinf + 903168000*li6half*ln2*sinf + 
    225792000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    627200*ln2^7*sinf + 48384000*ln2*s6*sinf + 177408000*s7a*sinf - 
    302400000*s7b*sinf - 1693440000*li6half*z2 - 620928000*li5half*ln2*z2 - 
    225792000*li4half*ln2^2*z2 - 8780800*ln2^6*z2 + 624960000*s6*z2 + 
    225792000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 - 
    305222400*li4half*z2^2 + 5569200*ln2^4*z2^2 - 10113600*ln2^3*sinf*z2^2 + 
    104932800*ln2^2*z2^3 + 73584000*ln2*sinf*z2^3 + 493638912*z2^4 + 
    900144000*li5half*z3 + 451584000*li4half*ln2*z3 + 17900400*ln2^5*z3 - 
    84672000*li4half*sinf*z3 + 4704000*ln2^4*sinf*z3 - 99036000*ln2^3*z2*z3 - 
    21168000*ln2^2*sinf*z2*z3 + 307528200*ln2*z2^2*z3 + 
    121161600*sinf*z2^2*z3 + 215806500*ln2^2*z3^2 + 163548000*ln2*sinf*z3^2 + 
    487336500*z2*z3^2 - 1176000*ln2^3*z5 + 463050000*ln2^2*sinf*z5 + 
    931518000*ln2*z2*z5 + 474642000*sinf*z2*z5 - 93090375*z3*z5 - 
    2700699750*sinf*z7)/56448000, H[1, -1, 1, -1, 0, -1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    19152000*ln2^2*s6 - 32519025*s8a - 252000000*s8b - 10080000*s8c - 
    32256000*s8d + 12096000*ln2*s6*sinf + 16128000*s7a*sinf - 
    40320000*s7b*sinf + 451584000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 1332800*ln2^6*z2 + 325584000*s6*z2 + 
    112896000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    1411200*ln2^5*sinf*z2 - 26208000*li4half*z2^2 - 10676400*ln2^4*z2^2 - 
    9643200*ln2^3*sinf*z2^2 + 23570400*ln2^2*z2^3 + 22092000*ln2*sinf*z2^3 - 
    40695444*z2^4 - 140112000*li5half*z3 + 1167600*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 + 11844000*ln2^3*z2*z3 + 
    21168000*ln2^2*sinf*z2*z3 - 65583000*ln2*z2^2*z3 + 
    17060400*sinf*z2^2*z3 - 16663500*ln2^2*z3^2 - 16002000*ln2*sinf*z3^2 - 
    5449500*z2*z3^2 - 12054000*ln2^3*z5 + 36603000*ln2^2*sinf*z5 - 
    233919000*ln2*z2*z5 + 38178000*sinf*z2*z5 - 26924625*z3*z5 - 
    252614250*sinf*z7)/28224000, H[1, -1, 1, -1, 0, -1, 0, -1, 1] -> 
  (225792000*li4half^2 + 1128960000*li8half - 112896000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 168000*ln2^8 - 437472000*ln2^2*s6 + 
    88704000*ln2*s7a + 74592000*ln2*s7b + 657036450*s8a + 3855600000*s8b + 
    471744000*s8c + 346752000*s8d - 903168000*li7half*sinf - 
    451584000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 291200*ln2^7*sinf - 225792000*s7a*sinf + 
    225792000*s7b*sinf - 84672000*li6half*z2 + 183456000*li5half*ln2*z2 - 
    940800*ln2^6*z2 - 1130976000*s6*z2 + 225792000*li5half*sinf*z2 + 
    112896000*li4half*ln2*sinf*z2 + 3763200*ln2^5*sinf*z2 - 
    74592000*li4half*z2^2 - 5901000*ln2^4*z2^2 - 17052000*ln2^3*sinf*z2^2 + 
    175518000*ln2^2*z2^3 + 20916000*ln2*sinf*z2^3 - 18866808*z2^4 - 
    1208592000*li5half*z3 + 70560000*li4half*ln2*z3 + 13011600*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 - 
    117180000*ln2^3*z2*z3 + 15876000*ln2^2*sinf*z2*z3 - 
    765752400*ln2*z2^2*z3 - 45687600*sinf*z2^2*z3 + 98784000*ln2^2*z3^2 - 
    173754000*ln2*sinf*z3^2 - 500440500*z2*z3^2 + 87171000*ln2^3*z5 - 
    327222000*ln2^2*sinf*z5 - 1874911500*ln2*z2*z5 - 895230000*sinf*z2*z5 + 
    1228342500*z3*z5 + 447607125*ln2*z7 + 1906443000*sinf*z7)/28224000, 
 H[1, -1, 1, -1, 0, -1, -1, 1, 1] -> 
  (-16821504000*li8half + 1016064000*li6half*ln2^2 + 
    103488000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 456400*ln2^8 + 
    2865744000*ln2^2*s6 - 6870038175*s8a - 40752936000*s8b - 4828320000*s8c - 
    3681216000*s8d + 4910976000*li7half*sinf + 1524096000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    582400*ln2^7*sinf - 415296000*ln2*s6*sinf + 1022112000*s7a*sinf - 
    1320480000*s7b*sinf - 1016064000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    2156000*ln2^6*z2 + 11165616000*s6*z2 - 112896000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 4468800*ln2^5*sinf*z2 - 
    770112000*li4half*z2^2 + 67636800*ln2^4*z2^2 + 63268800*ln2^3*sinf*z2^2 - 
    453146400*ln2^2*z2^3 + 140162400*ln2*sinf*z2^3 + 1253328912*z2^4 + 
    7736400000*li5half*z3 + 112896000*li4half*ln2*z3 - 54826800*ln2^5*z3 + 
    35280000*li4half*sinf*z3 + 7644000*ln2^4*sinf*z3 + 
    482412000*ln2^3*z2*z3 - 56448000*ln2^2*sinf*z2*z3 + 
    5370258600*ln2*z2^2*z3 + 365878800*sinf*z2^2*z3 + 667075500*ln2^2*z3^2 + 
    1068606000*ln2*sinf*z3^2 + 5232433500*z2*z3^2 + 129801000*ln2^3*z5 + 
    2443581000*ln2^2*sinf*z5 + 14136570000*ln2*z2*z5 + 
    3777921000*sinf*z2*z5 - 6561820125*z3*z5 - 10585803375*sinf*z7)/56448000, 
 H[1, -1, 1, -1, 0, -1, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    56112000*ln2^2*s6 - 101985975*s8a - 459480000*s8b - 93408000*s8c + 
    4032000*s8d + 16800000*ln2*s6*sinf + 2016000*s7a*sinf - 
    35616000*s7b*sinf + 141120000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 627200*ln2^6*z2 + 62496000*s6*z2 + 
    19152000*li4half*z2^2 + 2268000*ln2^4*z2^2 + 392000*ln2^3*sinf*z2^2 - 
    35565600*ln2^2*z2^3 - 9088800*ln2*sinf*z2^3 - 51250536*z2^4 - 
    15120000*li5half*z3 + 126000*ln2^5*z3 - 49392000*li4half*sinf*z3 - 
    2058000*ln2^4*sinf*z3 + 20300000*ln2^3*z2*z3 + 
    25284000*ln2^2*sinf*z2*z3 + 93807000*ln2*z2^2*z3 + 
    34524000*sinf*z2^2*z3 - 3328500*ln2^2*z3^2 - 30408000*ln2*sinf*z3^2 + 
    143923500*z2*z3^2 - 17346000*ln2^3*z5 + 10437000*ln2^2*sinf*z5 + 
    474264000*ln2*z2*z5 + 174594000*sinf*z2*z5 - 238924875*z3*z5 - 
    320399625*sinf*z7)/18816000, H[1, -1, 1, -1, 0, -1, -1, -1, 1] -> 
  (42336000*li4half^2 - 366912000*li8half - 536256000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 14112000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 53200*ln2^8 + 4032000*ln2^2*s6 - 
    104832000*ln2*s7a + 191520000*ln2*s7b - 51129225*s8a - 269640000*s8b + 
    4032000*s8c - 53424000*s8d - 282240000*li7half*sinf - 
    84672000*li6half*ln2*sinf - 61600*ln2^7*sinf - 5040000*ln2*s6*sinf - 
    44352000*s7a*sinf + 139104000*s7b*sinf + 42336000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 842800*ln2^6*z2 + 
    156240000*s6*z2 + 56448000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*
     z2 + 1881600*ln2^5*sinf*z2 - 25502400*li4half*z2^2 - 
    6589800*ln2^4*z2^2 - 7761600*ln2^3*sinf*z2^2 + 21445200*ln2^2*z2^3 + 
    12247200*ln2*sinf*z2^3 + 64472724*z2^4 - 76608000*li5half*z3 - 
    84672000*li4half*ln2*z3 - 4536000*ln2^5*z3 - 21168000*li4half*sinf*z3 - 
    2940000*ln2^4*sinf*z3 + 31248000*ln2^3*z2*z3 + 
    17640000*ln2^2*sinf*z2*z3 - 40824000*ln2*z2^2*z3 - 
    28526400*sinf*z2^2*z3 - 177912000*ln2^2*z3^2 - 104832000*ln2*sinf*z3^2 + 
    34461000*z2*z3^2 - 310978500*ln2^3*z5 - 203301000*ln2^2*sinf*z5 - 
    614817000*ln2*z2*z5 - 470799000*sinf*z2*z5 - 31996125*z3*z5 + 
    1185502500*ln2*z7 + 977011875*sinf*z7)/28224000, 
 H[1, -1, 1, -1, -1, 1, 1, 1, 1] -> 
  (36691200*li8half - 1411200*li6half*ln2^2 - 940800*li5half*ln2^3 - 
    352800*li4half*ln2^4 - 7420*ln2^8 - 13860000*ln2^2*s6 + 37259775*s8a + 
    160977600*s8b + 28425600*s8c + 4737600*s8d - 11289600*li7half*sinf - 
    2822400*li6half*ln2*sinf - 1411200*li5half*ln2^2*sinf - 
    470400*li4half*ln2^3*sinf - 8960*ln2^7*sinf + 1814400*ln2*s6*sinf - 
    1108800*s7a*sinf + 6652800*s7b*sinf + 1411200*li6half*z2 + 
    2822400*li5half*ln2*z2 + 2116800*li4half*ln2^2*z2 + 66640*ln2^6*z2 - 
    26409600*s6*z2 + 1411200*li5half*sinf*z2 + 1411200*li4half*ln2*sinf*z2 + 
    47040*ln2^5*sinf*z2 + 1582560*li4half*z2^2 - 848400*ln2^4*z2^2 - 
    799680*ln2^3*sinf*z2^2 + 2931600*ln2^2*z2^3 - 169680*ln2*sinf*z2^3 - 
    1656138*z2^4 - 14414400*li5half*z3 - 5644800*li4half*ln2*z3 + 
    120120*ln2^5*z3 - 705600*li4half*sinf*z3 + 205800*ln2^4*sinf*z3 - 
    1671600*ln2^3*z2*z3 - 1234800*ln2^2*sinf*z2*z3 - 30599100*ln2*z2^2*z3 - 
    4893840*sinf*z2^2*z3 - 7128450*ln2^2*z3^2 - 2003400*ln2*sinf*z3^2 - 
    23369850*z2*z3^2 - 499800*ln2^3*z5 - 8268750*ln2^2*sinf*z5 - 
    83777400*ln2*z2*z5 - 19035450*sinf*z2*z5 + 33054525*z3*z5 + 
    52782975*sinf*z7)/2822400, H[1, -1, 1, -1, -1, 1, 1, 0, 1] -> 
  (395136000*li8half - 141120000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 147000*ln2^8 + 80640000*ln2^2*s6 - 
    388732050*s8a - 814464000*s8b - 302400000*s8c + 118944000*s8d - 
    282240000*li7half*sinf - 282240000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    179200*ln2^7*sinf - 72576000*ln2*s6*sinf - 68544000*s7a*sinf - 
    26208000*s7b*sinf + 310464000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2312800*ln2^6*z2 + 93744000*s6*z2 + 
    112896000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    1646400*ln2^5*sinf*z2 + 49190400*li4half*z2^2 - 6711600*ln2^4*z2^2 - 
    3763200*ln2^3*sinf*z2^2 - 47577600*ln2^2*z2^3 + 19807200*ln2*sinf*z2^3 - 
    79147248*z2^4 - 633024000*li5half*z3 - 225792000*li4half*ln2*z3 - 
    4368000*ln2^5*z3 - 28224000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 + 
    83076000*ln2^3*z2*z3 + 49392000*ln2^2*sinf*z2*z3 + 
    192704400*ln2*z2^2*z3 + 89913600*sinf*z2^2*z3 + 53329500*ln2^2*z3^2 - 
    49959000*ln2*sinf*z3^2 + 224374500*z2*z3^2 + 81438000*ln2^3*z5 + 
    81144000*ln2^2*sinf*z5 + 658917000*ln2*z2*z5 - 47817000*sinf*z2*z5 - 
    105777000*z3*z5 - 132937875*sinf*z7)/56448000, 
 H[1, -1, 1, -1, -1, 1, 1, -1, 1] -> 
  (-677376000*li8half - 26600*ln2^8 + 269136000*ln2^2*s6 - 656458425*s8a - 
    2904552000*s8b - 538272000*s8c - 139104000*s8d + 169344000*li7half*sinf - 
    44800*ln2^7*sinf - 66528000*ln2*s6*sinf + 66528000*s7a*sinf - 
    102816000*s7b*sinf + 744800*ln2^6*z2 + 616896000*s6*z2 + 
    940800*ln2^5*sinf*z2 - 27820800*li4half*z2^2 + 10659600*ln2^4*z2^2 + 
    11289600*ln2^3*sinf*z2^2 - 63168000*ln2^2*z2^3 + 8685600*ln2*sinf*z2^3 + 
    25175832*z2^4 + 278208000*li5half*z3 - 8668800*ln2^5*z3 - 
    6762000*ln2^4*sinf*z3 + 77280000*ln2^3*z2*z3 + 
    40572000*ln2^2*sinf*z2*z3 + 600931800*ln2*z2^2*z3 + 
    50198400*sinf*z2^2*z3 + 50778000*ln2^2*z3^2 + 19215000*ln2*sinf*z3^2 + 
    546147000*z2*z3^2 + 882000*ln2^3*z5 + 165375000*ln2^2*sinf*z5 + 
    1612170000*ln2*z2*z5 + 305991000*sinf*z2*z5 - 748558125*z3*z5 - 
    631512000*ln2*z7 - 724885875*sinf*z7)/56448000, 
 H[1, -1, 1, -1, -1, 1, 0, 1, 1] -> 
  (2201472000*li8half - 169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 + 838600*ln2^8 - 342720000*ln2^2*s6 + 
    671520150*s8a + 4569264000*s8b + 346752000*s8c + 598752000*s8d - 
    1016064000*li7half*sinf - 338688000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    1064000*ln2^7*sinf - 42336000*ln2*s6*sinf - 296352000*s7a*sinf + 
    296352000*s7b*sinf + 508032000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 8976800*ln2^6*z2 - 1162224000*s6*z2 - 
    197568000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    6820800*ln2^5*sinf*z2 + 68947200*li4half*z2^2 + 23746800*ln2^4*z2^2 + 
    7291200*ln2^3*sinf*z2^2 + 7459200*ln2^2*z2^3 - 64764000*ln2*sinf*z2^3 - 
    280351776*z2^4 - 760032000*li5half*z3 + 451584000*li4half*ln2*z3 + 
    30559200*ln2^5*z3 + 56448000*li4half*sinf*z3 + 9114000*ln2^4*sinf*z3 - 
    157416000*ln2^3*z2*z3 + 26460000*ln2^2*sinf*z2*z3 - 
    619617600*ln2*z2^2*z3 - 119952000*sinf*z2^2*z3 + 206577000*ln2^2*z3^2 - 
    184338000*ln2*sinf*z3^2 - 691803000*z2*z3^2 + 84378000*ln2^3*z5 - 
    447615000*ln2^2*sinf*z5 - 1293390000*ln2*z2*z5 - 690165000*sinf*z2*z5 + 
    932006250*z3*z5 + 2375942625*sinf*z7)/56448000, 
 H[1, -1, 1, -1, -1, 1, 0, 0, 1] -> (3386880*li4half^2 - 13547520*li8half + 
    3386880*li6half*ln2^2 + 1505280*li5half*ln2^3 + 564480*li4half*ln2^4 + 
    9464*ln2^8 + 2520000*ln2^2*s6 + 54180*s8a - 11269440*s8b - 241920*s8c - 
    2580480*s8d + 9031680*li7half*sinf + 6773760*li6half*ln2*sinf + 
    2257920*li5half*ln2^2*sinf + 376320*li4half*ln2^3*sinf + 
    4480*ln2^7*sinf + 3830400*ln2*s6*sinf + 967680*s7a*sinf - 
    4112640*s7b*sinf - 3386880*li6half*z2 - 2822400*li5half*ln2*z2 - 
    1128960*li4half*ln2^2*z2 - 34496*ln2^6*z2 + 2197440*s6*z2 - 
    1693440*li5half*sinf*z2 + 4704*ln2^5*sinf*z2 - 1870848*li4half*z2^2 - 
    252000*ln2^4*z2^2 - 230496*ln2^3*sinf*z2^2 - 555408*ln2^2*z2^3 - 
    1308384*ln2*sinf*z2^3 + 1166400*z2^4 + 7842240*li5half*z3 + 
    4515840*li4half*ln2*z3 + 151032*ln2^5*z3 - 1693440*li4half*sinf*z3 - 
    35280*ln2^4*sinf*z3 + 6720*ln2^3*z2*z3 + 670320*ln2^2*sinf*z2*z3 - 
    642600*ln2*z2^2*z3 + 395640*sinf*z2^2*z3 + 739620*ln2^2*z3^2 + 
    927360*ln2*sinf*z3^2 + 2183580*z2*z3^2 - 2210880*ln2^3*z5 + 
    1605240*ln2^2*sinf*z5 + 6485220*ln2*z2*z5 + 15264900*sinf*z2*z5 - 
    3002895*z3*z5 - 27679050*sinf*z7)/1128960, 
 H[1, -1, 1, -1, -1, 1, 0, -1, 1] -> 
  (2257920000*li8half + 169344000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    131712000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 336000*ln2^8 + 
    230832000*ln2^2*s6 + 120960000*ln2*s7a + 163296000*ln2*s7b + 
    121569525*s8a + 2029608000*s8b - 364896000*s8c + 675360000*s8d - 
    169344000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    197568000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    425600*ln2^7*sinf + 429408000*ln2*s6*sinf - 90720000*s7a*sinf - 
    344736000*s7b*sinf - 395136000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 4037600*ln2^6*z2 - 1505952000*s6*z2 - 
    282240000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    2822400*ln2^5*sinf*z2 + 84268800*li4half*z2^2 - 6132000*ln2^4*z2^2 - 
    10819200*ln2^3*sinf*z2^2 - 174232800*ln2^2*z2^3 - 
    211932000*ln2*sinf*z2^3 - 492792576*z2^4 - 553392000*li5half*z3 + 
    451584000*li4half*ln2*z3 + 24603600*ln2^5*z3 + 56448000*li4half*sinf*z3 + 
    3822000*ln2^4*sinf*z3 - 134316000*ln2^3*z2*z3 + 
    17640000*ln2^2*sinf*z2*z3 - 251861400*ln2*z2^2*z3 + 
    50954400*sinf*z2^2*z3 + 331506000*ln2^2*z3^2 + 74025000*ln2*sinf*z3^2 + 
    66402000*z2*z3^2 - 170961000*ln2^3*z5 + 51156000*ln2^2*sinf*z5 + 
    1003527000*ln2*z2*z5 + 1378251000*sinf*z2*z5 + 622321875*z3*z5 + 
    1783663875*ln2*z7 - 1800673875*sinf*z7)/56448000, 
 H[1, -1, 1, -1, -1, 1, -1, 1, 1] -> 
  (-2419200*li6half*ln2^2 - 806400*li5half*ln2^3 + 3220*ln2^8 - 
    2419200*ln2^2*s6 - 4838400*li7half*sinf - 4838400*li6half*ln2*sinf - 
    1209600*li5half*ln2^2*sinf + 4160*ln2^7*sinf - 2937600*ln2*s6*sinf - 
    1900800*s7a*sinf + 2937600*s7b*sinf + 2419200*li6half*z2 + 
    2419200*li5half*ln2*z2 - 29680*ln2^6*z2 + 2419200*s6*z2 + 
    1209600*li5half*sinf*z2 - 26880*ln2^5*sinf*z2 + 320040*ln2^4*z2^2 + 
    262080*ln2^3*sinf*z2^2 + 844080*ln2^2*z2^3 + 997920*ln2*sinf*z2^3 - 
    380652*z2^4 - 4233600*li5half*z3 + 15120*ln2^5*z3 - 8400*ln2^4*sinf*z3 - 
    285600*ln2^3*z2*z3 + 50400*ln2^2*sinf*z2*z3 - 1648080*ln2*z2^2*z3 - 
    829440*sinf*z2^2*z3 + 1770300*ln2^2*z3^2 - 851400*ln2*sinf*z3^2 - 
    1971900*z2*z3^2 + 1575000*ln2^3*z5 - 2324700*ln2^2*sinf*z5 - 
    4725000*ln2*z2*z5 - 11142900*sinf*z2*z5 + 8268750*z3*z5 + 
    20767725*sinf*z7)/806400, H[1, -1, 1, -1, -1, 1, -1, 0, 1] -> 
  (254016000*li4half^2 - 451584000*li8half + 169344000*li6half*ln2^2 + 
    94080000*li5half*ln2^3 + 42336000*li4half*ln2^4 + 763000*ln2^8 + 
    64512000*ln2^2*s6 + 79636725*s8a + 362376000*s8b + 110880000*s8c - 
    26208000*s8d + 338688000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    141120000*li5half*ln2^2*sinf + 28224000*li4half*ln2^3*sinf + 
    403200*ln2^7*sinf + 264096000*ln2*s6*sinf - 24192000*s7a*sinf - 
    165312000*s7b*sinf - 169344000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 4508000*ln2^6*z2 - 109872000*s6*z2 - 
    56448000*li5half*sinf*z2 - 705600*ln2^5*sinf*z2 - 
    106848000*li4half*z2^2 + 1957200*ln2^4*z2^2 - 5644800*ln2^3*sinf*z2^2 + 
    47023200*ln2^2*z2^3 - 53323200*ln2*sinf*z2^3 + 122113176*z2^4 + 
    271152000*li5half*z3 + 338688000*li4half*ln2*z3 + 13734000*ln2^5*z3 - 
    127008000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 - 
    96180000*ln2^3*z2*z3 + 14112000*ln2^2*sinf*z2*z3 - 
    100434600*ln2*z2^2*z3 + 89510400*sinf*z2^2*z3 + 39973500*ln2^2*z3^2 - 
    32004000*ln2*sinf*z3^2 - 22522500*z2*z3^2 - 145236000*ln2^3*z5 - 
    81144000*ln2^2*sinf*z5 - 385119000*ln2*z2*z5 + 545139000*sinf*z2*z5 - 
    344381625*z3*z5 - 1216671750*sinf*z7)/56448000, 
 H[1, -1, 1, -1, -1, 1, -1, -1, 1] -> 
  (-24192000*li8half + 36288000*li6half*ln2^2 + 16128000*li5half*ln2^3 + 
    3024000*li4half*ln2^4 + 42800*ln2^8 + 18144000*ln2^2*s6 + 17203725*s8a + 
    37800000*s8b - 6048000*s8c + 24192000*s8d + 72576000*li7half*sinf + 
    72576000*li6half*ln2*sinf + 24192000*li5half*ln2^2*sinf + 
    4032000*li4half*ln2^3*sinf + 54400*ln2^7*sinf + 35424000*ln2*s6*sinf - 
    5184000*s7a*sinf - 35424000*s7b*sinf - 36288000*li6half*z2 - 
    48384000*li5half*ln2*z2 - 18144000*li4half*ln2^2*z2 - 593600*ln2^6*z2 - 
    72576000*s6*z2 - 24192000*li5half*sinf*z2 - 12096000*li4half*ln2*sinf*
     z2 - 537600*ln2^5*sinf*z2 - 604800*li4half*z2^2 - 453600*ln2^4*z2^2 - 
    604800*ln2^3*sinf*z2^2 - 4509600*ln2^2*z2^3 - 11037600*ln2*sinf*z2^3 - 
    11514744*z2^4 + 36288000*li5half*z3 + 48384000*li4half*ln2*z3 + 
    2620800*ln2^5*z3 + 6048000*li4half*sinf*z3 + 1218000*ln2^4*sinf*z3 - 
    16800000*ln2^3*z2*z3 - 7308000*ln2^2*sinf*z2*z3 - 6993000*ln2*z2^2*z3 + 
    6177600*sinf*z2^2*z3 + 22932000*ln2^2*z3^2 + 15507000*ln2*sinf*z3^2 - 
    11655000*z2*z3^2 - 4032000*ln2^3*z5 + 23247000*ln2^2*sinf*z5 + 
    48384000*ln2*z2*z5 + 129195000*sinf*z2*z5 + 66457125*z3*z5 + 
    75600000*ln2*z7 - 261565875*sinf*z7)/8064000, 
 H[1, -1, 1, -1, -1, 0, 1, 1, 1] -> 
  (-36288000*li4half^2 + 153216000*li8half + 8064000*li5half*ln2^3 - 
    400*ln2^8 + 9072000*ln2^2*s6 + 7207200*s8a + 140112000*s8b - 
    12096000*s8c + 42336000*s8d - 56448000*li7half*sinf + 
    12096000*li5half*ln2^2*sinf + 4032000*li4half*ln2^3*sinf + 
    78400*ln2^7*sinf + 17856000*ln2*s6*sinf - 11808000*s7a*sinf + 
    288000*s7b*sinf - 24192000*li5half*ln2*z2 + 11200*ln2^6*z2 - 
    102816000*s6*z2 - 12096000*li5half*sinf*z2 - 12096000*li4half*ln2*sinf*
     z2 - 638400*ln2^5*sinf*z2 + 37497600*li4half*z2^2 + 2049600*ln2^4*z2^2 + 
    1848000*ln2^3*sinf*z2^2 - 11145600*ln2^2*z2^3 - 5652000*ln2*sinf*z2^3 - 
    29047968*z2^4 - 18144000*li5half*z3 + 117600*ln2^5*z3 - 
    3024000*li4half*sinf*z3 - 168000*ln2^4*sinf*z3 - 1176000*ln2^3*z2*z3 + 
    1008000*ln2^2*sinf*z2*z3 + 37724400*ln2*z2^2*z3 + 6922800*sinf*z2^2*z3 - 
    1890000*ln2^2*z3^2 - 19926000*ln2*sinf*z3^2 + 2772000*z2*z3^2 - 
    12222000*ln2^3*z5 - 30051000*ln2^2*sinf*z5 + 72954000*ln2*z2*z5 + 
    17109000*sinf*z2*z5 - 37768500*z3*z5 + 18163125*sinf*z7)/8064000, 
 H[1, -1, 1, -1, -1, 0, 1, 0, 1] -> 
  (127008000*li4half^2 - 1580544000*li8half + 169344000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 10584000*li4half*ln2^4 + 102900*ln2^8 + 
    200592000*ln2^2*s6 - 594469575*s8a - 3989664000*s8b - 203616000*s8c - 
    664272000*s8d + 790272000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 156800*ln2^7*sinf - 149184000*ln2*s6*sinf + 
    346752000*s7a*sinf - 104832000*s7b*sinf + 169344000*li6half*z2 + 
    183456000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 
    1790712000*s6*z2 + 42336000*li5half*sinf*z2 + 42336000*li4half*ln2*sinf*
     z2 + 2352000*ln2^5*sinf*z2 - 223876800*li4half*z2^2 - 
    5623800*ln2^4*z2^2 - 1058400*ln2^3*sinf*z2^2 - 55524000*ln2^2*z2^3 + 
    18026400*ln2*sinf*z2^3 + 264600408*z2^4 + 1035720000*li5half*z3 - 
    10042200*ln2^5*z3 + 84672000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 + 
    93072000*ln2^3*z2*z3 - 14994000*ln2^2*sinf*z2*z3 + 
    409059000*ln2*z2^2*z3 - 18459000*sinf*z2^2*z3 - 107194500*ln2^2*z3^2 + 
    246456000*ln2*sinf*z3^2 + 348075000*z2*z3^2 - 30282000*ln2^3*z5 + 
    392049000*ln2^2*sinf*z5 + 399388500*ln2*z2*z5 + 266710500*sinf*z2*z5 - 
    1138047750*z3*z5 - 972916875*sinf*z7)/28224000, 
 H[1, -1, 1, -1, -1, 0, 1, -1, 1] -> 
  (-84672000*li4half^2 - 16482816000*li8half - 564480000*li7half*ln2 + 
    677376000*li6half*ln2^2 - 56448000*li5half*ln2^3 - 
    56448000*li4half*ln2^4 - 1090600*ln2^8 + 2191392000*ln2^2*s6 - 
    94752000*ln2*s7a - 10080000*ln2*s7b - 5690197800*s8a - 36459360000*s8b - 
    3459456000*s8c - 3850560000*s8d + 5249664000*li7half*sinf + 
    1354752000*li6half*ln2*sinf - 84672000*li5half*ln2^2*sinf - 
    65856000*li4half*ln2^3*sinf - 1198400*ln2^7*sinf - 
    639072000*ln2*s6*sinf + 1372896000*s7a*sinf - 1167264000*s7b*sinf - 
    677376000*li6half*z2 + 423360000*li5half*ln2*z2 + 
    338688000*li4half*ln2^2*z2 + 9447200*ln2^6*z2 + 10989216000*s6*z2 + 
    84672000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    3528000*ln2^5*sinf*z2 - 685440000*li4half*z2^2 + 35473200*ln2^4*z2^2 + 
    94315200*ln2^3*sinf*z2^2 - 212688000*ln2^2*z2^3 + 
    324424800*ln2*sinf*z2^3 + 1465167672*z2^4 + 7235424000*li5half*z3 - 
    493920000*li4half*ln2*z3 - 83932800*ln2^5*z3 + 70560000*li4half*sinf*z3 - 
    882000*ln2^4*sinf*z3 + 550620000*ln2^3*z2*z3 - 
    238140000*ln2^2*sinf*z2*z3 + 4635716400*ln2*z2^2*z3 + 
    299779200*sinf*z2^2*z3 + 6867000*ln2^2*z3^2 + 1177218000*ln2*sinf*z3^2 + 
    4313169000*z2*z3^2 - 23814000*ln2^3*z5 + 2548098000*ln2^2*sinf*z5 + 
    9734571000*ln2*z2*z5 + 3420900000*sinf*z2*z5 - 6152076000*z3*z5 + 
    919477125*ln2*z7 - 10242453375*sinf*z7)/56448000, 
 H[1, -1, 1, -1, -1, 0, 0, 1, 1] -> (42336000*li4half^2 + 282240000*li8half - 
    28224000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 
    95900*ln2^8 - 39816000*ln2^2*s6 + 233881200*s8a + 1500408000*s8b + 
    72576000*s8c + 237888000*s8d - 112896000*li7half*sinf - 
    56448000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf - 
    9408000*li4half*ln2^3*sinf - 212800*ln2^7*sinf + 126000000*ln2*s6*sinf - 
    133056000*s7a*sinf - 48384000*s7b*sinf + 84672000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 35280000*li4half*ln2^2*z2 + 1705200*ln2^6*z2 - 
    690984000*s6*z2 + 56448000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*
     z2 + 2587200*ln2^5*sinf*z2 + 82152000*li4half*z2^2 - 
    7337400*ln2^4*z2^2 - 12230400*ln2^3*sinf*z2^2 + 19336800*ln2^2*z2^3 - 
    8450400*ln2*sinf*z2^3 - 114856248*z2^4 - 546336000*li5half*z3 - 
    112896000*li4half*ln2*z3 - 1092000*ln2^5*z3 - 116424000*li4half*sinf*z3 - 
    6027000*ln2^4*sinf*z3 - 9072000*ln2^3*z2*z3 + 34398000*ln2^2*sinf*z2*z3 - 
    138322800*ln2*z2^2*z3 + 67271400*sinf*z2^2*z3 - 9985500*ln2^2*z3^2 - 
    109431000*ln2*sinf*z3^2 - 151893000*z2*z3^2 + 147000*ln2^3*z5 - 
    81805500*ln2^2*sinf*z5 - 218169000*ln2*z2*z5 + 29011500*sinf*z2*z5 + 
    680258250*z3*z5 - 196977375*sinf*z7)/28224000, 
 H[1, -1, 1, -1, -1, 0, 0, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 - 
    1008000*ln2^2*s6 - 6180300*s8a - 42336000*s8b - 4032000*s8c - 
    6624000*ln2*s6*sinf + 576000*s7a*sinf + 6624000*s7b*sinf - 
    8064000*li6half*z2 - 12096000*li5half*ln2*z2 + 89600*ln2^6*z2 + 
    4032000*s6*z2 - 4032000*li5half*sinf*z2 - 4032000*li4half*ln2*sinf*z2 - 
    134400*ln2^5*sinf*z2 + 8668800*li4half*z2^2 + 831600*ln2^4*z2^2 + 
    907200*ln2^3*sinf*z2^2 - 1238400*ln2^2*z2^3 + 2304000*ln2*sinf*z2^3 - 
    1327968*z2^4 + 17136000*li5half*z3 - 142800*ln2^5*z3 + 
    11088000*li4half*sinf*z3 + 462000*ln2^4*sinf*z3 - 252000*ln2^3*z2*z3 - 
    3780000*ln2^2*sinf*z2*z3 + 17224200*ln2*z2^2*z3 - 2169000*sinf*z2^2*z3 + 
    2614500*ln2^2*z3^2 + 4815000*ln2*sinf*z3^2 + 1984500*z2*z3^2 + 
    1218000*ln2^3*z5 - 4032000*ln2^2*sinf*z5 + 22711500*ln2*z2*z5 - 
    16717500*sinf*z2*z5 - 13505625*z3*z5 + 24529500*sinf*z7)/4032000, 
 H[1, -1, 1, -1, -1, 0, 0, -1, 1] -> 
  (-14112000*li4half^2 - 169344000*li8half - 28224000*li7half*ln2 + 
    14112000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 
    65100*ln2^8 - 99036000*ln2^2*s6 - 21672000*ln2*s7a - 53424000*ln2*s7b + 
    235056150*s8a + 1022112000*s8b + 188496000*s8c + 79632000*s8d + 
    28224000*li7half*sinf + 28224000*li6half*ln2*sinf + 
    14112000*li5half*ln2^2*sinf + 4704000*li4half*ln2^3*sinf + 
    112000*ln2^7*sinf + 18144000*ln2*s6*sinf - 71064000*s7a*sinf + 
    52416000*s7b*sinf - 28224000*li5half*ln2*z2 - 10584000*li4half*ln2^2*z2 - 
    597800*ln2^6*z2 - 282744000*s6*z2 - 7056000*li5half*sinf*z2 - 
    7056000*li4half*ln2*sinf*z2 - 705600*ln2^5*sinf*z2 + 
    34977600*li4half*z2^2 + 3574200*ln2^4*z2^2 + 1470000*ln2^3*sinf*z2^2 + 
    53230800*ln2^2*z2^3 + 24032400*ln2*sinf*z2^3 + 22654194*z2^4 - 
    86940000*li5half*z3 + 19404000*li4half*ln2*z3 + 2003400*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 - 17094000*ln2^3*z2*z3 + 
    3087000*ln2^2*sinf*z2*z3 - 108183600*ln2*z2^2*z3 - 207900*sinf*z2^2*z3 - 
    28460250*ln2^2*z3^2 - 66780000*ln2*sinf*z3^2 - 210994875*z2*z3^2 + 
    21572250*ln2^3*z5 - 133402500*ln2^2*sinf*z5 - 380000250*ln2*z2*z5 - 
    171612000*sinf*z2*z5 + 327040875*z3*z5 - 516237750*ln2*z7 + 
    212294250*sinf*z7)/14112000, H[1, -1, 1, -1, -1, 0, -1, 1, 1] -> 
  (254016000*li4half^2 + 14676480000*li8half - 846720000*li6half*ln2^2 - 
    56448000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 393400*ln2^8 - 
    1694448000*ln2^2*s6 + 4700450475*s8a + 31107384000*s8b + 2824416000*s8c + 
    3328416000*s8d - 5080320000*li7half*sinf - 1524096000*li6half*ln2*sinf - 
    84672000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf - 
    11200*ln2^7*sinf + 590688000*ln2*s6*sinf - 1197504000*s7a*sinf + 
    876960000*s7b*sinf + 846720000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 1372000*ln2^6*z2 - 9451008000*s6*z2 + 
    84672000*li5half*sinf*z2 + 225792000*li4half*ln2*sinf*z2 + 
    13406400*ln2^5*sinf*z2 + 614880000*li4half*z2^2 - 65814000*ln2^4*z2^2 - 
    121128000*ln2^3*sinf*z2^2 + 26308800*ln2^2*z2^3 - 
    373615200*ln2*sinf*z2^3 - 1364628744*z2^4 - 6678000000*li5half*z3 + 
    112896000*li4half*ln2*z3 + 57296400*ln2^5*z3 - 
    261072000*li4half*sinf*z3 - 14700000*ln2^4*sinf*z3 - 
    347760000*ln2^3*z2*z3 + 331632000*ln2^2*sinf*z2*z3 - 
    3772956600*ln2*z2^2*z3 - 121590000*sinf*z2^2*z3 - 204687000*ln2^2*z3^2 - 
    1125558000*ln2*sinf*z3^2 - 3483648000*z2*z3^2 + 58212000*ln2^3*z5 - 
    1922319000*ln2^2*sinf*z5 - 8151759000*ln2*z2*z5 - 2728215000*sinf*z2*z5 + 
    5031550125*z3*z5 + 8621683875*sinf*z7)/56448000, 
 H[1, -1, 1, -1, -1, 0, -1, 0, 1] -> 
  (-127008000*li4half^2 - 1580544000*li8half + 169344000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 10584000*li4half*ln2^4 - 338100*ln2^8 + 
    181944000*ln2^2*s6 - 604549575*s8a - 4426128000*s8b - 243936000*s8c - 
    652176000*s8d + 790272000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 156800*ln2^7*sinf - 241920000*ln2*s6*sinf + 
    361872000*s7a*sinf - 12096000*s7b*sinf + 42336000*li6half*z2 - 
    70560000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 
    1745352000*s6*z2 - 42336000*li5half*sinf*z2 - 42336000*li4half*ln2*sinf*
     z2 - 470400*ln2^5*sinf*z2 - 134668800*li4half*z2^2 + 
    6825000*ln2^4*z2^2 + 13524000*ln2^3*sinf*z2^2 - 73701600*ln2^2*z2^3 + 
    48703200*ln2*sinf*z2^3 + 221375328*z2^4 + 1329048000*li5half*z3 - 
    12957000*ln2^5*z3 + 211680000*li4half*sinf*z3 + 6468000*ln2^4*sinf*z3 + 
    95760000*ln2^3*z2*z3 - 59094000*ln2^2*sinf*z2*z3 + 
    527310000*ln2*z2^2*z3 - 89926200*sinf*z2^2*z3 - 105493500*ln2^2*z3^2 + 
    285642000*ln2*sinf*z3^2 + 395624250*z2*z3^2 - 10731000*ln2^3*z5 + 
    346185000*ln2^2*sinf*z5 + 963774000*ln2*z2*z5 + 129906000*sinf*z2*z5 - 
    1231909875*z3*z5 - 569031750*sinf*z7)/28224000, 
 H[1, -1, 1, -1, -1, 0, -1, -1, 1] -> 
  (56448000*li8half + 45158400*li7half*ln2 + 11289600*li6half*ln2^2 + 
    3763200*li5half*ln2^3 + 1411200*li4half*ln2^4 + 35560*ln2^8 - 
    25401600*ln2^2*s6 + 16531200*ln2*s7a - 403200*ln2*s7b + 29362725*s8a + 
    194443200*s8b + 26208000*s8c + 16128000*s8d + 22579200*li7half*sinf + 
    11289600*li6half*ln2*sinf + 5644800*li5half*ln2^2*sinf + 
    1881600*li4half*ln2^3*sinf + 42560*ln2^7*sinf - 2419200*ln2*s6*sinf + 
    13708800*s7a*sinf + 5241600*s7b*sinf - 5644800*li6half*z2 - 
    16934400*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 - 344960*ln2^6*z2 - 
    59068800*s6*z2 - 11289600*li5half*sinf*z2 - 5644800*li4half*ln2*sinf*z2 - 
    282240*ln2^5*sinf*z2 + 1532160*li4half*z2^2 + 1651440*ln2^4*z2^2 + 
    1223040*ln2^3*sinf*z2^2 + 8863680*ln2^2*z2^3 + 2315040*ln2*sinf*z2^3 + 
    1906152*z2^4 + 7257600*li5half*z3 + 22579200*li4half*ln2*z3 + 
    864640*ln2^5*z3 + 1411200*li4half*sinf*z3 + 39200*ln2^4*sinf*z3 - 
    4883200*ln2^3*z2*z3 - 235200*ln2^2*sinf*z2*z3 - 17551800*ln2*z2^2*z3 - 
    1189440*sinf*z2^2*z3 + 44100*ln2^2*z3^2 - 2650200*ln2*sinf*z3^2 - 
    17480400*z2*z3^2 + 3410400*ln2^3*z5 - 11289600*ln2^2*sinf*z5 - 
    46128600*ln2*z2*z5 - 3843000*sinf*z2*z5 - 34689375*z3*z5 - 
    65956275*ln2*z7 + 14856975*sinf*z7)/3763200, 
 H[1, -1, 1, -1, -1, -1, 1, 1, 1] -> 
  (-248371200*li8half + 16934400*li6half*ln2^2 + 3763200*li5half*ln2^3 - 
    15960*ln2^8 + 50198400*ln2^2*s6 - 74325825*s8a - 618206400*s8b - 
    66528000*s8c - 49190400*s8d + 101606400*li7half*sinf + 
    33868800*li6half*ln2*sinf + 5644800*li5half*ln2^2*sinf - 
    22400*ln2^7*sinf + 8467200*ln2*s6*sinf + 25401600*s7a*sinf - 
    36691200*s7b*sinf - 16934400*li6half*z2 - 11289600*li5half*ln2*z2 + 
    258720*ln2^6*z2 + 139305600*s6*z2 - 5644800*li5half*sinf*z2 + 
    282240*ln2^5*sinf*z2 - 9838080*li4half*z2^2 + 1365840*ln2^4*z2^2 + 
    1787520*ln2^3*sinf*z2^2 - 4129440*ln2^2*z2^3 + 782880*ln2*sinf*z2^3 + 
    5292456*z2^4 + 118137600*li5half*z3 - 2254560*ln2^5*z3 - 
    1352400*ln2^4*sinf*z3 + 15019200*ln2^3*z2*z3 + 2469600*ln2^2*sinf*z2*z3 + 
    78923880*ln2*z2^2*z3 + 9031680*sinf*z2^2*z3 - 5859000*ln2^2*z3^2 + 
    21079800*ln2*sinf*z3^2 + 88174800*z2*z3^2 - 29047200*ln2^3*z5 + 
    32104800*ln2^2*sinf*z5 + 286725600*ln2*z2*z5 + 137768400*sinf*z2*z5 - 
    90516825*z3*z5 - 308292075*sinf*z7)/11289600, 
 H[1, -1, 1, -1, -1, -1, 1, 0, 1] -> 
  (-3386880*li4half^2 + 22579200*li8half - 6773760*li6half*ln2^2 - 
    3010560*li5half*ln2^3 - 1128960*li4half*ln2^4 - 24920*ln2^8 - 
    12096000*ln2^2*s6 + 13201020*s8a + 94227840*s8b + 18547200*s8c + 
    1209600*s8d - 20321280*li7half*sinf - 13547520*li6half*ln2*sinf - 
    4515840*li5half*ln2^2*sinf - 1128960*li4half*ln2^3*sinf - 
    24192*ln2^7*sinf - 7176960*ln2*s6*sinf + 1532160*s7a*sinf + 
    11692800*s7b*sinf - 6773760*li6half*z2 + 2257920*li5half*ln2*z2 + 
    4515840*li4half*ln2^2*z2 + 233632*ln2^6*z2 - 15120000*s6*z2 + 
    2257920*li5half*sinf*z2 + 2257920*li4half*ln2*sinf*z2 + 
    169344*ln2^5*sinf*z2 + 2612736*li4half*z2^2 - 481488*ln2^4*z2^2 - 
    413952*ln2^3*sinf*z2^2 + 3282048*ln2^2*z2^3 + 1272096*ln2*sinf*z2^3 + 
    5741112*z2^4 - 10886400*li5half*z3 - 13547520*li4half*ln2*z3 - 
    596064*ln2^5*z3 + 564480*li4half*sinf*z3 - 129360*ln2^4*sinf*z3 + 
    621600*ln2^3*z2*z3 - 846720*ln2^2*sinf*z2*z3 - 9439920*ln2*z2^2*z3 - 
    2931264*sinf*z2^2*z3 - 9196740*ln2^2*z3^2 - 3923640*ln2*sinf*z3^2 - 
    13725180*z2*z3^2 + 3669120*ln2^3*z5 - 4339440*ln2^2*sinf*z5 - 
    70000560*ln2*z2*z5 - 39216240*sinf*z2*z5 - 728280*z3*z5 + 
    86035005*sinf*z7)/2257920, H[1, -1, 1, -1, -1, -1, 1, -1, 1] -> 
  (10080000*li8half - 1209600*li6half*ln2^2 - 537600*li5half*ln2^3 - 
    151200*li4half*ln2^4 - 3180*ln2^8 - 2217600*ln2^2*s6 + 2767275*s8a + 
    19252800*s8b + 3427200*s8c + 504000*s8d - 4838400*li7half*sinf - 
    2419200*li6half*ln2*sinf - 806400*li5half*ln2^2*sinf - 
    201600*li4half*ln2^3*sinf - 4000*ln2^7*sinf - 1353600*ln2*s6*sinf + 
    345600*s7a*sinf + 2361600*s7b*sinf + 1209600*li6half*z2 + 
    1612800*li5half*ln2*z2 + 907200*li4half*ln2^2*z2 + 35280*ln2^6*z2 - 
    2469600*s6*z2 + 806400*li5half*sinf*z2 + 604800*li4half*ln2*sinf*z2 + 
    30240*ln2^5*sinf*z2 + 372960*li4half*z2^2 - 186480*ln2^4*z2^2 - 
    164640*ln2^3*sinf*z2^2 + 75480*ln2^2*z2^3 + 156000*ln2*sinf*z2^3 + 
    74766*z2^4 - 3830400*li5half*z3 - 2419200*li4half*ln2*z3 - 
    58800*ln2^5*z3 - 302400*li4half*sinf*z3 - 8400*ln2^4*sinf*z3 + 
    453600*ln2^3*z2*z3 + 252000*ln2^2*sinf*z2*z3 - 2039940*ln2*z2^2*z3 - 
    452160*sinf*z2^2*z3 - 2060100*ln2^2*z3^2 - 1313100*ln2*sinf*z3^2 - 
    2305800*z2*z3^2 + 907200*ln2^3*z5 - 1146600*ln2^2*sinf*z5 - 
    13003200*ln2*z2*z5 - 7806600*sinf*z2*z5 - 1056825*z3*z5 + 
    2898000*ln2*z7 + 17437725*sinf*z7)/403200, 
 H[1, -1, 1, -1, -1, -1, 0, 1, 1] -> 
  (84672000*li4half^2 - 2483712000*li8half + 310464000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 183400*ln2^8 + 
    260064000*ln2^2*s6 - 633400425*s8a - 3932712000*s8b - 336672000*s8c - 
    453600000*s8d + 1298304000*li7half*sinf + 620928000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    56000*ln2^7*sinf + 32256000*ln2*s6*sinf + 151200000*s7a*sinf - 
    286272000*s7b*sinf - 705600000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2077600*ln2^6*z2 + 1083600000*s6*z2 + 
    112896000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 - 
    705600*ln2^5*sinf*z2 - 144345600*li4half*z2^2 + 4863600*ln2^4*z2^2 + 
    6820800*ln2^3*sinf*z2^2 + 42184800*ln2^2*z2^3 + 66528000*ln2*sinf*z2^3 + 
    354544152*z2^4 + 850752000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    436800*ln2^5*z3 - 21168000*li4half*sinf*z3 + 2646000*ln2^4*sinf*z3 - 
    42000000*ln2^3*z2*z3 - 72324000*ln2^2*sinf*z2*z3 + 
    377206200*ln2*z2^2*z3 + 80362800*sinf*z2^2*z3 + 143703000*ln2^2*z3^2 + 
    212373000*ln2*sinf*z3^2 + 392742000*z2*z3^2 + 15876000*ln2^3*z5 + 
    447615000*ln2^2*sinf*z5 + 651924000*ln2*z2*z5 + 604989000*sinf*z2*z5 - 
    270041625*z3*z5 - 2431059750*sinf*z7)/56448000, 
 H[1, -1, 1, -1, -1, -1, 0, 0, 1] -> 
  (14112000*li4half^2 + 282240000*li8half - 56448000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 109900*ln2^8 + 
    36792000*ln2^2*s6 - 12343275*s8a + 9072000*s8b - 122976000*s8c + 
    122976000*s8d - 169344000*li7half*sinf - 112896000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf + 112000*ln2^7*sinf + 33264000*ln2*s6*sinf - 
    82656000*s7a*sinf - 26208000*s7b*sinf + 141120000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 - 686000*ln2^6*z2 - 
    164808000*s6*z2 + 56448000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*
     z2 - 588000*ln2^5*sinf*z2 + 19656000*li4half*z2^2 + 5464200*ln2^4*z2^2 + 
    3410400*ln2^3*sinf*z2^2 + 9777600*ln2^2*z2^3 + 10130400*ln2*sinf*z2^3 - 
    119235024*z2^4 - 323568000*li5half*z3 + 3637200*ln2^5*z3 - 
    7056000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 - 24612000*ln2^3*z2*z3 + 
    1764000*ln2^2*sinf*z2*z3 - 7900200*ln2*z2^2*z3 + 10886400*sinf*z2^2*z3 + 
    82120500*ln2^2*z3^2 - 30114000*ln2*sinf*z3^2 + 56290500*z2*z3^2 + 
    9702000*ln2^3*z5 - 40131000*ln2^2*sinf*z5 + 341145000*ln2*z2*z5 + 
    61110000*sinf*z2*z5 + 295666875*z3*z5 - 118054125*sinf*z7)/28224000, 
 H[1, -1, 1, -1, -1, -1, 0, -1, 1] -> 
  (16128000*li4half^2 - 346752000*li8half - 24192000*li7half*ln2 - 
    12096000*li6half*ln2^2 - 10752000*li5half*ln2^3 + 336000*li4half*ln2^4 + 
    55000*ln2^8 - 864000*ln2^2*s6 - 5184000*ln2*s7a - 11232000*ln2*s7b - 
    27726300*s8a - 343728000*s8b - 24192000*s8c - 32256000*s8d + 
    48384000*li7half*sinf - 24192000*li6half*ln2*sinf - 
    16128000*li5half*ln2^2*sinf - 1344000*li4half*ln2^3*sinf + 
    35200*ln2^7*sinf + 2880000*ln2*s6*sinf - 39168000*s7a*sinf - 
    14976000*s7b*sinf - 16128000*li6half*z2 + 32256000*li5half*ln2*z2 - 
    571200*ln2^6*z2 + 101808000*s6*z2 + 32256000*li5half*sinf*z2 + 
    8064000*li4half*ln2*sinf*z2 - 268800*ln2^5*sinf*z2 - 
    16732800*li4half*z2^2 + 4040400*ln2^4*z2^2 + 2889600*ln2^3*sinf*z2^2 + 
    27669600*ln2^2*z2^3 + 19036800*ln2*sinf*z2^3 + 27600672*z2^4 - 
    12096000*li5half*z3 + 5040000*li4half*ln2*z3 + 848400*ln2^5*z3 - 
    4032000*li4half*sinf*z3 + 504000*ln2^4*sinf*z3 - 11676000*ln2^3*z2*z3 - 
    7056000*ln2^2*sinf*z2*z3 + 2700000*ln2*z2^2*z3 + 3398400*sinf*z2^2*z3 + 
    43038000*ln2^2*z3^2 + 11016000*ln2*sinf*z3^2 + 2520000*z2*z3^2 + 
    16611000*ln2^3*z5 - 7308000*ln2^2*sinf*z5 + 51327000*ln2*z2*z5 + 
    10980000*sinf*z2*z5 + 163453500*z3*z5 - 136416375*ln2*z7 - 
    155344500*sinf*z7)/8064000, H[1, -1, 1, -1, -1, -1, -1, 1, 1] -> 
  (959616000*li8half + 18816000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    170800*ln2^8 + 15120000*ln2^2*s6 + 56131425*s8a + 1265544000*s8b - 
    30240000*s8c + 157248000*s8d - 282240000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    224000*ln2^7*sinf + 70560000*ln2*s6*sinf - 70560000*s7a*sinf - 
    70560000*s7b*sinf - 56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 
    2430400*ln2^6*z2 - 378000000*s6*z2 - 28224000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 2352000*ln2^5*sinf*z2 + 
    18748800*li4half*z2^2 - 5157600*ln2^4*z2^2 - 6585600*ln2^3*sinf*z2^2 - 
    81480000*ln2^2*z2^3 - 76860000*ln2*sinf*z2^3 - 73412952*z2^4 - 
    215712000*li5half*z3 + 112896000*li4half*ln2*z3 + 12852000*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 7350000*ln2^4*sinf*z3 - 72072000*ln2^3*z2*z3 - 
    15876000*ln2^2*sinf*z2*z3 - 127247400*ln2*z2^2*z3 + 
    8467200*sinf*z2^2*z3 + 142065000*ln2^2*z3^2 + 32193000*ln2*sinf*z3^2 - 
    100800000*z2*z3^2 + 127008000*ln2^3*z5 + 112896000*ln2^2*sinf*z5 - 
    135072000*ln2*z2*z5 + 94374000*sinf*z2*z5 + 68945625*z3*z5 + 
    100603125*sinf*z7)/56448000, H[1, -1, 1, -1, -1, -1, -1, 0, 1] -> 
  (-395136000*li8half + 84672000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    49000*ln2^8 + 99792000*ln2^2*s6 - 267209775*s8a - 2029608000*s8b - 
    171360000*s8c - 209664000*s8d + 338688000*li7half*sinf + 
    169344000*li6half*ln2*sinf + 28224000*li5half*ln2^2*sinf - 
    67200*ln2^7*sinf - 112896000*ln2*s6*sinf + 141120000*s7a*sinf + 
    197568000*li6half*z2 + 28224000*li5half*ln2*z2 + 431200*ln2^6*z2 + 
    595728000*s6*z2 + 470400*ln2^5*sinf*z2 - 41932800*li4half*z2^2 - 
    3452400*ln2^4*z2^2 + 940800*ln2^3*sinf*z2^2 - 72626400*ln2^2*z2^3 + 
    19353600*ln2*sinf*z2^3 - 29386704*z2^4 + 426384000*li5half*z3 - 
    5434800*ln2^5*z3 - 2352000*ln2^4*sinf*z3 + 110796000*ln2^3*z2*z3 + 
    42336000*ln2^2*sinf*z2*z3 + 281295000*ln2*z2^2*z3 + 
    7056000*sinf*z2^2*z3 - 106438500*ln2^2*z3^2 + 28224000*ln2*sinf*z3^2 + 
    307345500*z2*z3^2 - 18816000*ln2^3*z5 + 108486000*ln2^2*sinf*z5 + 
    1064448000*ln2*z2*z5 + 145530000*sinf*z2*z5 - 630039375*z3*z5 - 
    474295500*sinf*z7)/56448000, H[1, -1, 1, -1, -1, -1, -1, -1, 1] -> 
  (-169344000*li8half + 4704000*li6half*ln2^2 + 700*ln2^8 + 
    3360000*ln2^2*s6 - 14796075*s8a - 137424000*s8b - 6720000*s8c - 
    14448000*s8d + 56448000*li7half*sinf + 9408000*li6half*ln2*sinf - 
    4704000*li6half*z2 + 58800*ln2^6*z2 + 39480000*s6*z2 + 
    78400*ln2^5*sinf*z2 - 2889600*li4half*z2^2 + 1947400*ln2^4*z2^2 + 
    1881600*ln2^3*sinf*z2^2 + 13815200*ln2^2*z2^3 + 10752000*ln2*sinf*z2^3 + 
    17623308*z2^4 + 28896000*li5half*z3 - 1024800*ln2^5*z3 - 
    784000*ln2^4*sinf*z3 + 3976000*ln2^3*z2*z3 + 14960400*ln2*z2^2*z3 - 
    3759000*ln2^2*z3^2 + 9597000*z2*z3^2 - 21168000*ln2^3*z5 - 
    18816000*ln2^2*sinf*z5 + 38976000*ln2*z2*z5 - 732375*z3*z5 - 
    103488000*ln2*z7 - 56448000*sinf*z7)/9408000, 
 H[1, -1, 0, 1, 1, 1, 1, 1, 1] -> (-6048000*li4half^2 - 4032000*li8half + 
    2016000*li6half*ln2^2 + 1344000*li5half*ln2^3 + 2000*ln2^8 - 
    1008000*ln2^2*s6 + 1901025*s8a - 12600000*s8b + 2016000*s8c - 
    2016000*s8d + 4032000*li7half*sinf + 4032000*li6half*ln2*sinf + 
    2016000*li5half*ln2^2*sinf + 672000*li4half*ln2^3*sinf + 
    16000*ln2^7*sinf - 2016000*ln2*s6*sinf + 2016000*s7a*sinf + 
    2016000*s7b*sinf - 2016000*li6half*z2 - 4032000*li5half*ln2*z2 - 
    22400*ln2^6*z2 + 4032000*s6*z2 - 2016000*li5half*sinf*z2 - 
    2016000*li4half*ln2*sinf*z2 - 134400*ln2^5*sinf*z2 - 
    403200*li4half*z2^2 + 67200*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 + 
    511200*ln2^2*z2^3 + 1274400*ln2*sinf*z2^3 + 570024*z2^4 + 
    11088000*li5half*z3 + 25200*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    294000*ln2^4*sinf*z3 - 252000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    2230200*ln2*z2^2*z3 - 3225600*sinf*z2^2*z3 - 283500*ln2^2*z3^2 + 
    2520000*ln2*sinf*z3^2 - 1291500*z2*z3^2 - 6048000*ln2*z2*z5 - 
    5922000*sinf*z2*z5 + 12371625*z3*z5 + 13253625*sinf*z7)/4032000, 
 H[1, -1, 0, 1, 1, 1, 1, 0, 1] -> 
  (12096000*li4half^2 + 1008000*li4half*ln2^4 + 21000*ln2^8 + 
    1008000*ln2^2*s6 - 1986075*s8a + 42840000*s8b - 2016000*s8c + 
    2016000*s8d + 2016000*ln2*s6*sinf - 2016000*s7a*sinf - 2016000*s7b*sinf + 
    8064000*li6half*z2 + 12096000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 - 
    5600*ln2^6*z2 - 4032000*s6*z2 + 4032000*li5half*sinf*z2 + 
    4032000*li4half*ln2*sinf*z2 + 134400*ln2^5*sinf*z2 - 
    2620800*li4half*z2^2 - 529200*ln2^4*z2^2 - 672000*ln2^3*sinf*z2^2 - 
    907200*ln2^2*z2^3 - 3578400*ln2*sinf*z2^3 + 2035728*z2^4 - 
    17136000*li5half*z3 + 142800*ln2^5*z3 - 8064000*li4half*sinf*z3 - 
    336000*ln2^4*sinf*z3 + 1512000*ln2^3*z2*z3 + 3780000*ln2^2*sinf*z2*z3 - 
    8731800*ln2*z2^2*z3 + 4586400*sinf*z2^2*z3 + 315000*ln2^2*z3^2 - 
    2457000*ln2*sinf*z3^2 + 4347000*z2*z3^2 - 6048000*ln2*z2*z5 + 
    1890000*sinf*z2*z5 - 28042875*z3*z5 - 9694125*sinf*z7)/8064000, 
 H[1, -1, 0, 1, 1, 1, 1, -1, 1] -> (-42336000*li4half^2 + 169344000*li8half - 
    310464000*li7half*ln2 - 42336000*li6half*ln2^2 - 7056000*li4half*ln2^4 - 
    213500*ln2^8 + 23184000*ln2^2*s6 - 43344000*ln2*s7a + 20160000*ln2*s7b + 
    95104800*s8a + 658728000*s8b + 54432000*s8c + 65520000*s8d - 
    451584000*li7half*sinf - 84672000*li6half*ln2*sinf - 
    4704000*li4half*ln2^3*sinf - 224000*ln2^7*sinf + 43344000*ln2*s6*sinf - 
    29232000*s7a*sinf + 62496000*s7b*sinf + 42336000*li6half*z2 + 
    28224000*li4half*ln2^2*z2 + 2469600*ln2^6*z2 - 198072000*s6*z2 - 
    14112000*li4half*ln2*sinf*z2 + 2234400*ln2^5*sinf*z2 + 
    39916800*li4half*z2^2 - 18123000*ln2^4*z2^2 - 3175200*ln2^3*sinf*z2^2 - 
    61336800*ln2^2*z2^3 - 48837600*ln2*sinf*z2^3 - 22453092*z2^4 - 
    131040000*li5half*z3 - 56448000*li4half*ln2*z3 - 2083200*ln2^5*z3 + 
    10584000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 11424000*ln2^3*z2*z3 + 
    3528000*ln2^2*sinf*z2*z3 - 68304600*ln2*z2^2*z3 - 25023600*sinf*z2^2*z3 - 
    69111000*ln2^2*z3^2 - 51093000*ln2*sinf*z3^2 - 57582000*z2*z3^2 - 
    61519500*ln2^3*z5 - 88861500*ln2^2*sinf*z5 - 224500500*ln2*z2*z5 - 
    186448500*sinf*z2*z5 + 73741500*z3*z5 + 390686625*ln2*z7 + 
    775293750*sinf*z7)/28224000, H[1, -1, 0, 1, 1, 1, 0, 1, 1] -> 
  (8467200*li4half^2 + 705600*li4half*ln2^4 + 14700*ln2^8 + 
    13910400*ln2^2*s6 - 11850300*s8a - 80942400*s8b - 13708800*s8c - 
    403200*s8d + 13708800*ln2*s6*sinf + 403200*s7a*sinf - 13708800*s7b*sinf - 
    5644800*li6half*z2 - 1411200*li4half*ln2^2*z2 - 66640*ln2^6*z2 - 
    13305600*s6*z2 + 5644800*li5half*sinf*z2 + 5644800*li4half*ln2*sinf*z2 + 
    188160*ln2^5*sinf*z2 - 4173120*li4half*z2^2 - 232680*ln2^4*z2^2 - 
    940800*ln2^3*sinf*z2^2 - 92400*ln2^2*z2^3 + 288960*ln2*sinf*z2^3 - 
    3971928*z2^4 - 10483200*li5half*z3 + 87360*ln2^5*z3 - 
    3528000*li4half*sinf*z3 - 147000*ln2^4*sinf*z3 + 772800*ln2^3*z2*z3 + 
    3351600*ln2^2*sinf*z2*z3 + 21374640*ln2*z2^2*z3 + 7592760*sinf*z2^2*z3 - 
    762300*ln2^2*z3^2 - 4876200*ln2*sinf*z3^2 + 24614100*z2*z3^2 - 
    9114000*ln2^3*z5 + 68468400*ln2*z2*z5 + 49618800*sinf*z2*z5 - 
    14660100*z3*z5 - 107444925*sinf*z7)/5644800, 
 H[1, -1, 0, 1, 1, 1, 0, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    4536000*ln2^2*s6 + 3277575*s8a - 29232000*s8b - 9072000*s8c + 
    9072000*s8d + 9072000*ln2*s6*sinf - 9072000*s7a*sinf - 9072000*s7b*sinf + 
    7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 17136000*s6*z2 + 
    4636800*li4half*z2^2 - 688800*ln2^4*z2^2 + 2058000*ln2^2*z2^3 + 
    4393200*ln2*sinf*z2^3 - 9666318*z2^4 - 4032000*li5half*z3 + 
    33600*ln2^5*z3 + 10584000*li4half*sinf*z3 + 441000*ln2^4*sinf*z3 - 
    336000*ln2^3*z2*z3 - 2646000*ln2^2*sinf*z2*z3 - 16644600*ln2*z2^2*z3 - 
    7578900*sinf*z2^2*z3 + 9324000*ln2^2*z3^2 + 4756500*ln2*sinf*z3^2 - 
    17230500*z2*z3^2 - 11812500*ln2*z2*z5 + 13639500*sinf*z2*z5 + 
    114423750*z3*z5 - 25160625*sinf*z7)/14112000, 
 H[1, -1, 0, 1, 1, 1, 0, -1, 1] -> 
  (22176000*li4half^2 + 1848000*li4half*ln2^4 + 38500*ln2^8 + 
    1296000*ln2^2*s6 + 5760000*ln2*s7a + 15840000*ln2*s7b - 10317825*s8a - 
    3528000*s8b - 24192000*s8c + 24192000*s8d + 8640000*ln2*s6*sinf - 
    18720000*s7a*sinf + 1440000*s7b*sinf - 2016000*li6half*z2 - 
    7056000*li4half*ln2^2*z2 - 296800*ln2^6*z2 - 48384000*s6*z2 + 
    2016000*li5half*sinf*z2 + 8064000*li4half*ln2*sinf*z2 + 
    319200*ln2^5*sinf*z2 - 10180800*li4half*z2^2 - 4200*ln2^4*z2^2 - 
    1848000*ln2^3*sinf*z2^2 + 6510000*ln2^2*z2^3 + 1428000*ln2*sinf*z2^3 - 
    9566472*z2^4 - 50904000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    1306200*ln2^5*z3 - 4536000*li4half*sinf*z3 - 189000*ln2^4*sinf*z3 - 
    6300000*ln2^3*z2*z3 + 7308000*ln2^2*sinf*z2*z3 - 12126600*ln2*z2^2*z3 + 
    1740600*sinf*z2^2*z3 + 16713000*ln2^2*z3^2 - 11178000*ln2*sinf*z3^2 + 
    12820500*z2*z3^2 - 9765000*ln2^3*z5 - 19530000*ln2^2*sinf*z5 + 
    25731000*ln2*z2*z5 - 6561000*sinf*z2*z5 + 61196625*z3*z5 + 
    87062625*ln2*z7 - 11968875*sinf*z7)/4032000, 
 H[1, -1, 0, 1, 1, 1, -1, 1, 1] -> 
  (169344000*li4half^2 - 3499776000*li8half - 127008000*li6half*ln2^2 - 
    47040000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 422800*ln2^8 + 
    355320000*ln2^2*s6 - 1216148850*s8a - 7915824000*s8b - 830592000*s8c - 
    721728000*s8d + 987840000*li7half*sinf - 84672000*li6half*ln2*sinf - 
    70560000*li5half*ln2^2*sinf + 274400*ln2^7*sinf - 134064000*ln2*s6*sinf + 
    77616000*s7a*sinf - 183456000*s7b*sinf + 127008000*li6half*z2 + 
    141120000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 4547200*ln2^6*z2 + 
    2279592000*s6*z2 + 70560000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*
     z2 - 2940000*ln2^5*sinf*z2 - 226195200*li4half*z2^2 + 
    52785600*ln2^4*z2^2 + 21520800*ln2^3*sinf*z2^2 - 8794800*ln2^2*z2^3 + 
    125748000*ln2*sinf*z2^3 + 218819304*z2^4 + 1196496000*li5half*z3 - 
    10794000*ln2^5*z3 - 70560000*li4half*sinf*z3 - 3969000*ln2^4*sinf*z3 + 
    107940000*ln2^3*z2*z3 + 23814000*ln2^2*sinf*z2*z3 + 
    976878000*ln2*z2^2*z3 + 90934200*sinf*z2^2*z3 + 123858000*ln2^2*z3^2 + 
    112014000*ln2*sinf*z3^2 + 913122000*z2*z3^2 + 252913500*ln2^2*sinf*z5 + 
    2491776000*ln2*z2*z5 + 547060500*sinf*z2*z5 - 892127250*z3*z5 - 
    2054233125*sinf*z7)/28224000, H[1, -1, 0, 1, 1, 1, -1, 0, 1] -> 
  (-254016000*li4half^2 + 4515840000*li8half - 112896000*li6half*ln2^2 - 
    21168000*li4half*ln2^4 - 485800*ln2^8 - 452592000*ln2^2*s6 + 
    1419520725*s8a + 9135000000*s8b + 933408000*s8c + 816480000*s8d - 
    1806336000*li7half*sinf - 225792000*li6half*ln2*sinf + 44800*ln2^7*sinf + 
    191520000*ln2*s6*sinf - 163296000*s7a*sinf + 217728000*s7b*sinf - 
    677376000*li6half*z2 - 254016000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 2156000*ln2^6*z2 - 2768976000*s6*z2 - 
    84672000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    9172800*ln2^5*sinf*z2 + 286070400*li4half*z2^2 - 22890000*ln2^4*z2^2 - 
    27048000*ln2^3*sinf*z2^2 + 87645600*ln2^2*z2^3 - 
    182649600*ln2*sinf*z2^3 - 238367664*z2^4 - 1357776000*li5half*z3 + 
    11314800*ln2^5*z3 + 105840000*li4half*sinf*z3 + 4410000*ln2^4*sinf*z3 - 
    133728000*ln2^3*z2*z3 - 38808000*ln2^2*sinf*z2*z3 - 
    1146007800*ln2*z2^2*z3 - 119044800*sinf*z2^2*z3 - 102816000*ln2^2*z3^2 - 
    147231000*ln2*sinf*z3^2 - 986706000*z2*z3^2 - 369117000*ln2^2*sinf*z5 - 
    2797578000*ln2*z2*z5 - 650601000*sinf*z2*z5 + 1060124625*z3*z5 + 
    3007635750*sinf*z7)/56448000, H[1, -1, 0, 1, 1, 1, -1, -1, 1] -> 
  (22579200*li4half^2 + 1343462400*li8half + 169344000*li7half*ln2 + 
    39513600*li6half*ln2^2 + 7526400*li5half*ln2^3 + 1881600*li4half*ln2^4 + 
    31080*ln2^8 - 100800000*ln2^2*s6 + 16531200*ln2*s7a + 5241600*ln2*s7b + 
    349379100*s8a + 2388758400*s8b + 202406400*s8c + 240710400*s8d - 
    180633600*li7half*sinf + 11289600*li6half*ln2*sinf + 
    11289600*li5half*ln2^2*sinf - 42560*ln2^7*sinf + 54432000*ln2*s6*sinf - 
    45964800*s7a*sinf + 10483200*s7b*sinf - 5644800*li6half*z2 - 
    11289600*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 + 368480*ln2^6*z2 - 
    707212800*s6*z2 + 5644800*li4half*ln2*sinf*z2 + 2304960*ln2^5*sinf*z2 + 
    31207680*li4half*z2^2 - 15104880*ln2^4*z2^2 - 8984640*ln2^3*sinf*z2^2 + 
    5846400*ln2^2*z2^3 - 27316800*ln2*sinf*z2^3 - 103050216*z2^4 - 
    478598400*li5half*z3 + 29635200*li4half*ln2*z3 + 5552400*ln2^5*z3 - 
    2822400*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 - 42117600*ln2^3*z2*z3 + 
    15170400*ln2^2*sinf*z2*z3 - 297002160*ln2*z2^2*z3 - 
    1920240*sinf*z2^2*z3 + 2520000*ln2^2*z3^2 - 37170000*ln2*sinf*z3^2 - 
    250588800*z2*z3^2 + 7291200*ln2^3*z5 - 60152400*ln2^2*sinf*z5 - 
    616795200*ln2*z2*z5 - 32558400*sinf*z2*z5 + 297271800*z3*z5 - 
    116274375*ln2*z7 + 195199200*sinf*z7)/11289600, 
 H[1, -1, 0, 1, 1, 0, 1, 1, 1] -> (-53088000*ln2^2*s6 - 221025*s8a + 
    360024000*s8b + 35616000*s8c + 34944000*s8d - 35616000*ln2*s6*sinf - 
    34944000*s7a*sinf + 35616000*s7b*sinf - 69888000*s6*z2 + 
    29568000*li4half*z2^2 + 1232000*ln2^4*z2^2 + 4754400*ln2^2*z2^3 + 
    4082400*ln2*sinf*z2^3 + 18588216*z2^4 - 51072000*li5half*z3 + 
    425600*ln2^5*z3 - 18816000*li4half*sinf*z3 - 784000*ln2^4*sinf*z3 - 
    4256000*ln2^3*z2*z3 + 4704000*ln2^2*sinf*z2*z3 - 41928600*ln2*z2^2*z3 - 
    3771600*sinf*z2^2*z3 + 8295000*ln2^2*z3^2 - 17073000*ln2*sinf*z3^2 - 
    53760000*z2*z3^2 + 45570000*ln2^3*z5 - 243558000*ln2*z2*z5 - 
    175182000*sinf*z2*z5 + 35392875*z3*z5 + 275270625*sinf*z7)/18816000, 
 H[1, -1, 0, 1, 1, 0, 1, 0, 1] -> (-15456000*ln2^2*s6 + 24022950*s8a + 
    28392000*s8b + 30912000*s8c - 30912000*s8d - 30912000*ln2*s6*sinf + 
    30912000*s7a*sinf + 30912000*s7b*sinf + 26544000*s6*z2 - 
    12768000*li4half*z2^2 - 532000*ln2^4*z2^2 - 784000*ln2^2*z2^3 - 
    996800*ln2*sinf*z2^3 + 16718572*z2^4 + 43008000*li5half*z3 - 
    358400*ln2^5*z3 + 18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 + 
    3584000*ln2^3*z2*z3 - 4704000*ln2^2*sinf*z2*z3 + 1583400*ln2*z2^2*z3 - 
    17325000*sinf*z2^2*z3 - 15078000*ln2^2*z3^2 + 17178000*ln2*sinf*z3^2 - 
    4294500*z2*z3^2 - 53707500*ln2*z2*z5 - 77794500*sinf*z2*z5 - 
    109769625*z3*z5 + 183799875*sinf*z7)/9408000, 
 H[1, -1, 0, 1, 1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    43142400*ln2^2*s6 - 46368000*ln2*s7a - 4032000*ln2*s7b - 51781275*s8a - 
    482932800*s8b + 37497600*s8c - 164505600*s8d - 3225600*ln2*s6*sinf + 
    34272000*s7a*sinf + 34272000*s7b*sinf + 16934400*li5half*ln2*z2 + 
    25401600*li4half*ln2^2*z2 + 917280*ln2^6*z2 + 376992000*s6*z2 - 
    22579200*li4half*ln2*sinf*z2 - 940800*ln2^5*sinf*z2 + 
    9434880*li4half*z2^2 - 1018080*ln2^4*z2^2 + 5644800*ln2^3*sinf*z2^2 - 
    49281120*ln2^2*z2^3 + 12327840*ln2*sinf*z2^3 + 54075024*z2^4 + 
    317721600*li5half*z3 - 69148800*li4half*ln2*z3 - 5528880*ln2^5*z3 + 
    12700800*li4half*sinf*z3 + 529200*ln2^4*sinf*z3 + 21537600*ln2^3*z2*z3 - 
    47628000*ln2^2*sinf*z2*z3 + 115544520*ln2*z2^2*z3 - 
    14757120*sinf*z2^2*z3 - 81446400*ln2^2*z3^2 + 6413400*ln2*sinf*z3^2 + 
    25943400*z2*z3^2 - 41013000*ln2^3*z5 - 80539200*ln2*z2*z5 - 
    100674000*sinf*z2*z5 - 471058875*z3*z5 - 74796750*ln2*z7 + 
    218762775*sinf*z7)/11289600, H[1, -1, 0, 1, 1, 0, 0, 1, 1] -> 
  (1008000*ln2^2*s6 + 90825*s8a - 9744000*s8b - 672000*s8c - 672000*s8d + 
    672000*ln2*s6*sinf + 672000*s7a*sinf - 672000*s7b*sinf + 5040000*s6*z2 + 
    537600*li4half*z2^2 + 22400*ln2^4*z2^2 - 511200*ln2^2*z2^3 - 
    367200*ln2*sinf*z2^3 - 707628*z2^4 + 2688000*li5half*z3 - 
    22400*ln2^5*z3 - 1344000*li4half*sinf*z3 - 56000*ln2^4*sinf*z3 + 
    224000*ln2^3*z2*z3 + 336000*ln2^2*sinf*z2*z3 - 684600*ln2*z2^2*z3 + 
    336000*sinf*z2^2*z3 - 147000*ln2^2*z3^2 + 357000*ln2*sinf*z3^2 - 
    241500*z2*z3^2 - 868000*ln2^3*z5 + 4620000*ln2*z2*z5 + 
    4431000*sinf*z2*z5 + 2365125*z3*z5 - 6373500*sinf*z7)/1344000, 
 H[1, -1, 0, 1, 1, 0, 0, 0, 1] -> (2688000*ln2^2*s6 - 4912425*s8a + 
    6720000*s8b - 5376000*s8c + 5376000*s8d + 5376000*ln2*s6*sinf - 
    5376000*s7a*sinf - 5376000*s7b*sinf - 6048000*s6*z2 + 
    2956800*li4half*z2^2 + 123200*ln2^4*z2^2 - 649600*ln2^2*z2^3 - 
    1030400*ln2*sinf*z2^3 - 1935268*z2^4 - 10752000*li5half*z3 + 
    89600*ln2^5*z3 - 896000*ln2^3*z2*z3 + 2801400*ln2*z2^2*z3 + 
    2398200*sinf*z2^2*z3 + 2520000*ln2^2*z3^2 - 3192000*ln2*sinf*z3^2 + 
    1165500*z2*z3^2 + 5985000*ln2*z2*z5 + 12411000*sinf*z2*z5 + 
    7877625*z3*z5 - 27111000*sinf*z7)/4704000, 
 H[1, -1, 0, 1, 1, 0, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    15792000*ln2^2*s6 + 10752000*ln2*s7a + 20160000*ln2*s7b - 25936050*s8a - 
    26544000*s8b - 62496000*s8c + 62496000*s8d + 22176000*ln2*s6*sinf - 
    31584000*s7a*sinf - 12768000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 107352000*s6*z2 + 28224000*li4half*ln2*sinf*z2 + 
    1176000*ln2^5*sinf*z2 - 19017600*li4half*z2^2 - 792400*ln2^4*z2^2 - 
    7056000*ln2^3*sinf*z2^2 + 6064800*ln2^2*z2^3 - 9794400*ln2*sinf*z2^3 - 
    31941348*z2^4 - 117936000*li5half*z3 + 32928000*li4half*ln2*z3 + 
    2354800*ln2^5*z3 - 23520000*li4half*sinf*z3 - 980000*ln2^4*sinf*z3 - 
    5712000*ln2^3*z2*z3 + 30576000*ln2^2*sinf*z2*z3 - 24360000*ln2*z2^2*z3 + 
    12226200*sinf*z2^2*z3 + 31122000*ln2^2*z3^2 - 21693000*ln2*sinf*z3^2 + 
    26769750*z2*z3^2 - 9114000*ln2^3*z5 - 18228000*ln2^2*sinf*z5 + 
    127974000*ln2*z2*z5 + 40813500*sinf*z2*z5 + 176591625*z3*z5 + 
    160503000*ln2*z7 - 104097000*sinf*z7)/9408000, 
 H[1, -1, 0, 1, 1, 0, -1, 1, 1] -> 
  (-1209600*li4half^2 - 100800*li4half*ln2^4 - 2100*ln2^8 - 369600*ln2^2*s6 - 
    787200*ln2*s6*sinf + 1056000*s7a*sinf - 960000*s7b*sinf - 
    403200*li5half*ln2*z2 + 67200*li4half*ln2^2*z2 + 6160*ln2^6*z2 + 
    369600*s6*z2 - 672000*li4half*ln2*sinf*z2 - 28000*ln2^5*sinf*z2 + 
    719040*li4half*z2^2 + 55160*ln2^4*z2^2 + 168000*ln2^3*sinf*z2^2 + 
    346560*ln2^2*z2^3 - 212640*ln2*sinf*z2^3 - 99684*z2^4 + 
    436800*li5half*z3 - 3640*ln2^5*z3 + 235200*li4half*sinf*z3 + 
    9800*ln2^4*sinf*z3 + 36400*ln2^3*z2*z3 - 58800*ln2^2*sinf*z2*z3 - 
    469560*ln2*z2^2*z3 + 78600*sinf*z2^2*z3 + 152250*ln2^2*z3^2 + 
    1246500*ln2*sinf*z3^2 - 152250*z2*z3^2 + 1953000*ln2^2*sinf*z5 - 
    510300*ln2*z2*z5 + 2883000*sinf*z2*z5 + 552825*z3*z5 - 4011750*sinf*z7)/
   268800, H[1, -1, 0, 1, 1, 0, -1, 0, 1] -> 
  (-672000*ln2^2*s6 + 343350*s8a + 5846400*s8b + 1344000*s8c - 1344000*s8d - 
    1344000*ln2*s6*sinf + 1344000*s7a*sinf + 1344000*s7b*sinf - 
    840000*s6*z2 - 1068480*li4half*z2^2 - 44520*ln2^4*z2^2 + 
    193760*ln2^2*z2^3 + 155680*ln2*sinf*z2^3 + 1648288*z2^4 - 
    134400*li5half*z3 + 1120*ln2^5*z3 + 2822400*li4half*sinf*z3 + 
    117600*ln2^4*sinf*z3 - 11200*ln2^3*z2*z3 - 705600*ln2^2*sinf*z2*z3 + 
    2223480*ln2*z2^2*z3 - 1003800*sinf*z2^2*z3 - 718200*ln2^2*z3^2 + 
    621600*ln2*sinf*z3^2 + 623700*z2*z3^2 - 6369300*ln2*z2*z5 - 
    4727100*sinf*z2*z5 - 10768275*z3*z5 + 9681000*sinf*z7)/1881600, 
 H[1, -1, 0, 1, 1, 0, -1, -1, 1] -> (-47880000*ln2^2*s6 + 33264000*ln2*s7a - 
    44352000*ln2*s7b + 85949325*s8a + 430920000*s8b + 64512000*s8c + 
    48384000*s8d - 3024000*ln2*s6*sinf + 3024000*s7a*sinf - 
    4032000*s7b*sinf - 153216000*s6*z2 + 10382400*li4half*z2^2 + 
    432600*ln2^4*z2^2 + 9744000*ln2^2*z2^3 - 2436000*ln2*sinf*z2^3 - 
    4092828*z2^4 - 95592000*li5half*z3 + 796600*ln2^5*z3 - 
    1176000*li4half*sinf*z3 - 49000*ln2^4*sinf*z3 - 7966000*ln2^3*z2*z3 + 
    294000*ln2^2*sinf*z2*z3 - 59879400*ln2*z2^2*z3 + 1306200*sinf*z2^2*z3 + 
    25929750*ln2^2*z3^2 + 3853500*ln2*sinf*z3^2 - 69588750*z2*z3^2 + 
    79747500*ln2^3*z5 + 13671000*ln2^2*sinf*z5 - 67662000*ln2*z2*z5 + 
    12064500*sinf*z2*z5 + 173100375*z3*z5 - 184196250*ln2*z7 - 
    18238500*sinf*z7)/9408000, H[1, -1, 0, 1, 1, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 + 6209280000*li8half + 127008000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 561400*ln2^8 - 
    719208000*ln2^2*s6 + 2135522025*s8a + 13970376000*s8b + 1544256000*s8c + 
    1207584000*s8d - 1128960000*li7half*sinf + 254016000*li6half*ln2*sinf + 
    42336000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    560000*ln2^7*sinf + 242928000*ln2*s6*sinf - 137088000*s7a*sinf + 
    187488000*s7b*sinf - 127008000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 5488000*ln2^6*z2 - 3844008000*s6*z2 - 
    42336000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 + 
    4468800*ln2^5*sinf*z2 + 364291200*li4half*z2^2 - 67494000*ln2^4*z2^2 - 
    51508800*ln2^3*sinf*z2^2 + 19378800*ln2^2*z2^3 - 
    158961600*ln2*sinf*z2^3 - 348374196*z2^4 - 2316384000*li5half*z3 + 
    19303200*ln2^5*z3 + 7056000*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 - 
    193032000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    1708333200*ln2*z2^2*z3 - 56548800*sinf*z2^2*z3 - 237006000*ln2^2*z3^2 - 
    211050000*ln2*sinf*z3^2 - 1657404000*z2*z3^2 + 61519500*ln2^3*z5 - 
    252913500*ln2^2*sinf*z5 - 4817326500*ln2*z2*z5 - 622408500*sinf*z2*z5 + 
    1542114000*z3*z5 + 2180737125*sinf*z7)/28224000, 
 H[1, -1, 0, 1, 1, -1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 4515840000*li8half + 112896000*li6half*ln2^2 - 
    2352000*li4half*ln2^4 - 4200*ln2^8 + 535248000*ln2^2*s6 - 
    1482354825*s8a - 9544584000*s8b - 1032864000*s8c - 829920000*s8d + 
    1806336000*li7half*sinf + 225792000*li6half*ln2*sinf - 44800*ln2^7*sinf - 
    321216000*ln2*s6*sinf + 358848000*s7a*sinf - 332640000*s7b*sinf + 
    282240000*li6half*z2 - 47040000*li5half*ln2*z2 - 
    32928000*li4half*ln2^2*z2 + 196000*ln2^6*z2 + 2727648000*s6*z2 - 
    9408000*li5half*sinf*z2 + 18816000*li4half*ln2*sinf*z2 + 
    3684800*ln2^5*sinf*z2 - 178684800*li4half*z2^2 + 18740400*ln2^4*z2^2 + 
    42728000*ln2^3*sinf*z2^2 - 60076800*ln2^2*z2^3 + 
    142111200*ln2*sinf*z2^3 + 243677928*z2^4 + 1728048000*li5half*z3 - 
    14400400*ln2^5*z3 + 39984000*li4half*sinf*z3 + 1666000*ln2^4*sinf*z3 + 
    144004000*ln2^3*z2*z3 - 9996000*ln2^2*sinf*z2*z3 + 
    1191233400*ln2*z2^2*z3 + 74230800*sinf*z2^2*z3 + 119080500*ln2^2*z3^2 + 
    396228000*ln2*sinf*z3^2 + 1079893500*z2*z3^2 + 669879000*ln2^2*sinf*z5 + 
    3249855000*ln2*z2*z5 + 1035489000*sinf*z2*z5 - 1183720125*z3*z5 - 
    3289531875*sinf*z7)/18816000, H[1, -1, 0, 1, 1, -1, 1, -1, 1] -> 
  (-338688000*li4half^2 - 14958720000*li8half - 733824000*li7half*ln2 - 
    197568000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 68600*ln2^8 + 
    1492848000*ln2^2*s6 - 122976000*ln2*s7a + 60480000*ln2*s7b - 
    4963374675*s8a - 32448024000*s8b - 3078432000*s8c - 3342528000*s8d + 
    1749888000*li7half*sinf - 395136000*li6half*ln2*sinf + 
    37632000*li4half*ln2^3*sinf + 672000*ln2^7*sinf - 735840000*ln2*s6*sinf + 
    397152000*s7a*sinf - 40320000*s7b*sinf + 197568000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 7408800*ln2^6*z2 + 
    10064880000*s6*z2 - 197568000*li4half*ln2*sinf*z2 - 
    26812800*ln2^5*sinf*z2 - 465292800*li4half*z2^2 + 169772400*ln2^4*z2^2 + 
    188395200*ln2^3*sinf*z2^2 - 182296800*ln2^2*z2^3 + 
    357840000*ln2*sinf*z2^3 + 1147972752*z2^4 + 6713280000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 55650000*ln2^5*z3 + 98784000*li4half*sinf*z3 + 
    4116000*ln2^4*sinf*z3 + 435960000*ln2^3*z2*z3 - 
    268128000*ln2^2*sinf*z2*z3 + 4045746600*ln2*z2^2*z3 - 
    38152800*sinf*z2^2*z3 + 276318000*ln2^2*z3^2 + 490707000*ln2*sinf*z3^2 + 
    3580227000*z2*z3^2 - 218736000*ln2^3*z5 + 423801000*ln2^2*sinf*z5 + 
    9174942000*ln2*z2*z5 + 132111000*sinf*z2*z5 - 5277738375*z3*z5 + 
    857130750*ln2*z7 - 1571976000*sinf*z7)/56448000, 
 H[1, -1, 0, 1, 1, -1, 0, 1, 1] -> (50803200*li4half^2 + 903168000*li8half - 
    135475200*li6half*ln2^2 - 30105600*li5half*ln2^3 + 
    4233600*li4half*ln2^4 + 173320*ln2^8 - 242524800*ln2^2*s6 + 
    518041125*s8a + 2810203200*s8b + 355219200*s8c + 276998400*s8d - 
    541900800*li7half*sinf - 270950400*li6half*ln2*sinf - 
    45158400*li5half*ln2^2*sinf + 107520*ln2^7*sinf + 40320000*ln2*s6*sinf - 
    170150400*s7a*sinf + 208051200*s7b*sinf + 304819200*li6half*z2 + 
    67737600*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 - 807520*ln2^6*z2 - 
    700761600*s6*z2 - 33868800*li5half*sinf*z2 + 33868800*li4half*ln2*sinf*
     z2 + 1317120*ln2^5*sinf*z2 + 30844800*li4half*z2^2 + 579600*ln2^4*z2^2 - 
    9172800*ln2^3*sinf*z2^2 + 35938560*ln2^2*z2^3 - 1968960*ln2*sinf*z2^3 - 
    110927136*z2^4 - 539884800*li5half*z3 + 4499040*ln2^5*z3 - 
    21168000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 - 44990400*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 - 385376040*ln2*z2^2*z3 - 
    50112720*sinf*z2^2*z3 - 25830000*ln2^2*z3^2 - 164442600*ln2*sinf*z3^2 - 
    448900200*z2*z3^2 + 9114000*ln2^3*z5 - 352711800*ln2^2*sinf*z5 - 
    1043784000*ln2*z2*z5 - 556025400*sinf*z2*z5 + 645543675*z3*z5 + 
    1444419900*sinf*z7)/11289600, H[1, -1, 0, 1, 1, -1, 0, 0, 1] -> 
  (51072000*ln2^2*s6 - 114221100*s8a - 513240000*s8b - 85680000*s8c - 
    55440000*s8d + 3360000*ln2*s6*sinf + 13104000*s7a*sinf - 
    38640000*s7b*sinf - 112896000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    4704000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 123816000*s6*z2 - 
    9408000*li5half*sinf*z2 - 9408000*li4half*ln2*sinf*z2 - 
    313600*ln2^5*sinf*z2 - 7089600*li4half*z2^2 + 3526600*ln2^4*z2^2 + 
    6860000*ln2^3*sinf*z2^2 - 26322800*ln2^2*z2^3 - 12787600*ln2*sinf*z2^3 + 
    17707954*z2^4 + 101472000*li5half*z3 - 845600*ln2^5*z3 - 
    4704000*li4half*sinf*z3 - 196000*ln2^4*sinf*z3 + 8456000*ln2^3*z2*z3 + 
    1176000*ln2^2*sinf*z2*z3 + 86595600*ln2*z2^2*z3 + 13710900*sinf*z2^2*z3 + 
    11938500*ln2^2*z3^2 + 16159500*ln2*sinf*z3^2 + 111189750*z2*z3^2 + 
    50127000*ln2^2*sinf*z5 + 263214000*ln2*z2*z5 + 117180000*sinf*z2*z5 - 
    205477125*z3*z5 - 185130750*sinf*z7)/4704000, 
 H[1, -1, 0, 1, 1, -1, 0, -1, 1] -> 
  (16128000*li4half^2 + 193536000*li7half*ln2 + 48384000*li6half*ln2^2 + 
    1344000*li4half*ln2^4 + 56800*ln2^8 + 69408000*ln2^2*s6 + 
    29376000*ln2*s7a - 39168000*ln2*s7b - 139036275*s8a - 599256000*s8b - 
    135072000*s8c - 22176000*s8d + 387072000*li7half*sinf + 
    96768000*li6half*ln2*sinf + 57600*ln2^7*sinf - 16704000*ln2*s6*sinf + 
    79200000*s7a*sinf - 140544000*s7b*sinf - 18144000*li6half*z2 - 
    4032000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 
    110376000*s6*z2 - 14112000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*
     z2 + 302400*ln2^5*sinf*z2 - 10080000*li4half*z2^2 + 2293200*ln2^4*z2^2 + 
    2150400*ln2^3*sinf*z2^2 - 25226400*ln2^2*z2^3 - 888000*ln2*sinf*z2^3 - 
    17563704*z2^4 + 64008000*li5half*z3 - 10584000*li4half*ln2*z3 - 
    974400*ln2^5*z3 - 9072000*li4half*sinf*z3 - 378000*ln2^4*sinf*z3 + 
    15918000*ln2^3*z2*z3 + 18144000*ln2^2*sinf*z2*z3 + 
    123665400*ln2*z2^2*z3 + 45118800*sinf*z2^2*z3 + 48264750*ln2^2*z3^2 + 
    84100500*ln2*sinf*z3^2 + 126299250*z2*z3^2 + 66402000*ln2^3*z5 + 
    212877000*ln2^2*sinf*z5 + 531202500*ln2*z2*z5 + 434110500*sinf*z2*z5 - 
    155893500*z3*z5 - 361055250*ln2*z7 - 1072395000*sinf*z7)/4032000, 
 H[1, -1, 0, 1, 1, -1, -1, 1, 1] -> 
  (-4798080000*li8half + 310464000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 - 21000*ln2^8 + 681408000*ln2^2*s6 - 
    1582041825*s8a - 10210536000*s8b - 1179360000*s8c - 796320000*s8d + 
    451584000*li7half*sinf + 282240000*li6half*ln2*sinf + 
    84672000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf - 
    11200*ln2^7*sinf + 102816000*ln2*s6*sinf + 38304000*s7a*sinf - 
    32256000*s7b*sinf - 310464000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 + 2488752000*s6*z2 - 
    84672000*li5half*sinf*z2 - 5644800*ln2^5*sinf*z2 - 
    152208000*li4half*z2^2 + 46342800*ln2^4*z2^2 + 3998400*ln2^3*sinf*z2^2 - 
    51357600*ln2^2*z2^3 + 12297600*ln2*sinf*z2^3 + 267379488*z2^4 + 
    1874880000*li5half*z3 - 15624000*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    294000*ln2^4*sinf*z3 + 150948000*ln2^3*z2*z3 - 8820000*ln2^2*sinf*z2*z3 + 
    1323189000*ln2*z2^2*z3 + 8391600*sinf*z2^2*z3 + 125275500*ln2^2*z3^2 - 
    8127000*ln2*sinf*z3^2 + 1290019500*z2*z3^2 - 150381000*ln2^3*z5 - 
    95697000*ln2^2*sinf*z5 + 3866184000*ln2*z2*z5 + 261009000*sinf*z2*z5 - 
    1180123875*z3*z5 - 715349250*sinf*z7)/56448000, 
 H[1, -1, 0, 1, 1, -1, -1, 0, 1] -> 
  (-11289600*li4half^2 + 903168000*li8half - 22579200*li6half*ln2^2 - 
    940800*li4half*ln2^4 - 28560*ln2^8 - 121060800*ln2^2*s6 + 332285625*s8a + 
    2093918400*s8b + 235065600*s8c + 182649600*s8d - 361267200*li7half*sinf - 
    45158400*li6half*ln2*sinf + 8960*ln2^7*sinf + 51811200*ln2*s6*sinf - 
    58867200*s7a*sinf + 79430400*s7b*sinf - 22579200*li6half*z2 - 
    2822400*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 70560*ln2^6*z2 - 
    592502400*s6*z2 - 2822400*li5half*sinf*z2 - 8467200*li4half*ln2*sinf*z2 - 
    893760*ln2^5*sinf*z2 + 40763520*li4half*z2^2 - 4851840*ln2^4*z2^2 - 
    9525600*ln2^3*sinf*z2^2 + 16198560*ln2^2*z2^3 - 26953920*ln2*sinf*z2^3 - 
    50056416*z2^4 - 357537600*li5half*z3 + 2979480*ln2^5*z3 + 
    6350400*li4half*sinf*z3 + 264600*ln2^4*sinf*z3 - 29794800*ln2^3*z2*z3 - 
    1587600*ln2^2*sinf*z2*z3 - 261875880*ln2*z2^2*z3 - 
    25147080*sinf*z2^2*z3 - 31093650*ln2^2*z3^2 - 69659100*ln2*sinf*z3^2 - 
    248931900*z2*z3^2 - 133975800*ln2^2*sinf*z5 - 730069200*ln2*z2*z5 - 
    241838100*sinf*z2*z5 + 264507075*z3*z5 + 745173450*sinf*z7)/5644800, 
 H[1, -1, 0, 1, 1, -1, -1, -1, 1] -> 
  (56448000*li4half^2 + 7338240000*li8half + 508032000*li7half*ln2 - 
    254016000*li6half*ln2^2 - 94080000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 316400*ln2^8 - 775152000*ln2^2*s6 + 
    127008000*ln2*s7a - 183456000*ln2*s7b + 2125601100*s8a + 
    14174496000*s8b + 1338624000*s8c + 1356768000*s8d - 
    169344000*li7half*sinf - 169344000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf + 
    347200*ln2^7*sinf + 8064000*ln2*s6*sinf + 76608000*s7a*sinf - 
    290304000*s7b*sinf + 84672000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1293600*ln2^6*z2 - 4103568000*s6*z2 + 
    56448000*li4half*ln2*sinf*z2 + 8702400*ln2^5*sinf*z2 + 
    253008000*li4half*z2^2 - 53491200*ln2^4*z2^2 - 27048000*ln2^3*sinf*z2^2 - 
    7761600*ln2^2*z2^3 - 121161600*ln2*sinf*z2^3 - 550872144*z2^4 - 
    2741760000*li5half*z3 - 56448000*li4half*ln2*z3 + 20496000*ln2^5*z3 - 
    35280000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 - 
    172032000*ln2^3*z2*z3 + 93492000*ln2^2*sinf*z2*z3 - 
    1632380400*ln2*z2^2*z3 + 101808000*sinf*z2^2*z3 - 5008500*ln2^2*z3^2 + 
    119574000*ln2*sinf*z3^2 - 1543311000*z2*z3^2 + 442029000*ln2^3*z5 + 
    505827000*ln2^2*sinf*z5 - 3617649000*ln2*z2*z5 + 864234000*sinf*z2*z5 + 
    1713048750*z3*z5 - 1170028125*ln2*z7 - 1330150500*sinf*z7)/56448000, 
 H[1, -1, 0, 1, 0, 1, 1, 1, 1] -> (169344000*li4half^2 + 112896000*li8half - 
    56448000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 56000*ln2^8 + 
    70056000*ln2^2*s6 - 21257775*s8a - 154728000*s8b - 76608000*s8c + 
    13104000*s8d - 112896000*li7half*sinf - 112896000*li6half*ln2*sinf - 
    56448000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    448000*ln2^7*sinf + 76608000*ln2*s6*sinf - 13104000*s7a*sinf - 
    76608000*s7b*sinf + 56448000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    627200*ln2^6*z2 - 26208000*s6*z2 + 56448000*li5half*sinf*z2 + 
    56448000*li4half*ln2*sinf*z2 + 3763200*ln2^5*sinf*z2 + 
    36489600*li4half*z2^2 - 831600*ln2^4*z2^2 - 9408000*ln2^3*sinf*z2^2 - 
    24208800*ln2^2*z2^3 - 22008000*ln2*sinf*z2^3 - 48602244*z2^4 - 
    223776000*li5half*z3 - 1428000*ln2^5*z3 - 98784000*li4half*sinf*z3 - 
    8232000*ln2^4*sinf*z3 + 14280000*ln2^3*z2*z3 + 
    49392000*ln2^2*sinf*z2*z3 + 24066000*ln2*z2^2*z3 + 
    74944800*sinf*z2^2*z3 + 630000*ln2^2*z3^2 - 36666000*ln2*sinf*z3^2 + 
    75096000*z2*z3^2 - 41013000*ln2^3*z5 + 352863000*ln2*z2*z5 + 
    288540000*sinf*z2*z5 - 78710625*z3*z5 - 555675750*sinf*z7)/28224000, 
 H[1, -1, 0, 1, 0, 1, 1, 0, 1] -> 
  (-169344000*li4half^2 - 14112000*li4half*ln2^4 - 294000*ln2^8 + 
    18144000*ln2^2*s6 + 22316175*s8a - 187488000*s8b - 36288000*s8c + 
    36288000*s8d + 36288000*ln2*s6*sinf - 36288000*s7a*sinf - 
    36288000*s7b*sinf - 112896000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 78400*ln2^6*z2 - 9072000*s6*z2 - 
    56448000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1881600*ln2^5*sinf*z2 + 7257600*li4half*z2^2 + 6182400*ln2^4*z2^2 + 
    9408000*ln2^3*sinf*z2^2 + 11524800*ln2^2*z2^3 + 18513600*ln2*sinf*z2^3 - 
    43828752*z2^4 + 110880000*li5half*z3 - 924000*ln2^5*z3 + 
    112896000*li4half*sinf*z3 + 4704000*ln2^4*sinf*z3 - 
    31920000*ln2^3*z2*z3 - 52920000*ln2^2*sinf*z2*z3 + 23562000*ln2*z2^2*z3 - 
    46015200*sinf*z2^2*z3 + 39942000*ln2^2*z3^2 + 24318000*ln2*sinf*z3^2 - 
    43344000*z2*z3^2 + 157153500*ln2*z2*z5 + 122692500*sinf*z2*z5 + 
    396065250*z3*z5 - 111888000*sinf*z7)/28224000, 
 H[1, -1, 0, 1, 0, 1, 1, -1, 1] -> 
  (508032000*li4half^2 + 2032128000*li8half + 1354752000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 70560000*li4half*ln2^4 + 1996400*ln2^8 - 
    709632000*ln2^2*s6 + 544320000*ln2*s7a + 149184000*ln2*s7b + 
    518022225*s8a + 3675672000*s8b + 6048000*s8c + 798336000*s8d + 
    1580544000*li7half*sinf + 225792000*li6half*ln2*sinf + 
    37632000*li4half*ln2^3*sinf + 1568000*ln2^7*sinf - 
    258048000*ln2*s6*sinf - 66528000*s7a*sinf - 334656000*s7b*sinf - 
    112896000*li6half*z2 - 225792000*li4half*ln2^2*z2 - 14739200*ln2^6*z2 - 
    1836576000*s6*z2 + 28224000*li4half*ln2*sinf*z2 - 6350400*ln2^5*sinf*z2 - 
    262281600*li4half*z2^2 + 45402000*ln2^4*z2^2 + 51508800*ln2^3*sinf*z2^2 + 
    376773600*ln2^2*z2^3 + 137760000*ln2*sinf*z2^3 - 343372584*z2^4 - 
    1596672000*li5half*z3 + 1044288000*li4half*ln2*z3 + 63403200*ln2^5*z3 - 
    21168000*li4half*sinf*z3 + 7350000*ln2^4*sinf*z3 - 
    338268000*ln2^3*z2*z3 + 172872000*ln2^2*sinf*z2*z3 - 
    1109215800*ln2*z2^2*z3 + 98330400*sinf*z2^2*z3 + 841837500*ln2^2*z3^2 + 
    241416000*ln2*sinf*z3^2 - 367258500*z2*z3^2 + 382788000*ln2^3*z5 + 
    259749000*ln2^2*sinf*z5 - 444024000*ln2*z2*z5 + 991431000*sinf*z2*z5 + 
    2184044625*z3*z5 + 480894750*ln2*z7 - 3414285000*sinf*z7)/56448000, 
 H[1, -1, 0, 1, 0, 1, 0, 1, 1] -> 
  (-24192000*li4half^2 - 2016000*li4half*ln2^4 - 42000*ln2^8 - 
    16128000*ln2^2*s6 + 6192900*s8a + 76104000*s8b + 16128000*s8c - 
    16128000*ln2*s6*sinf + 16128000*s7b*sinf + 16128000*li6half*z2 + 
    4032000*li4half*ln2^2*z2 + 190400*ln2^6*z2 + 7056000*s6*z2 - 
    16128000*li5half*sinf*z2 - 16128000*li4half*ln2*sinf*z2 - 
    537600*ln2^5*sinf*z2 + 15321600*li4half*z2^2 + 806400*ln2^4*z2^2 + 
    2688000*ln2^3*sinf*z2^2 - 921600*ln2^2*z2^3 + 2995200*ln2*sinf*z2^3 + 
    2941164*z2^4 + 32256000*li5half*z3 - 268800*ln2^5*z3 + 
    10080000*li4half*sinf*z3 + 420000*ln2^4*sinf*z3 - 2016000*ln2^3*z2*z3 - 
    9576000*ln2^2*sinf*z2*z3 - 907200*ln2*z2^2*z3 - 7761600*sinf*z2^2*z3 - 
    126000*ln2^2*z3^2 + 4284000*ln2*sinf*z3^2 - 28980000*z2*z3^2 + 
    10416000*ln2^3*z5 - 79632000*ln2*z2*z5 - 57897000*sinf*z2*z5 - 
    6993000*z3*z5 + 127330875*sinf*z7)/4032000, 
 H[1, -1, 0, 1, 0, 1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    10080000*ln2^2*s6 + 8744400*s8a + 6552000*s8b + 20160000*s8c - 
    20160000*s8d - 20160000*ln2*s6*sinf + 20160000*s7a*sinf + 
    20160000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    16128000*s6*z2 + 35481600*li4half*z2^2 + 5006400*ln2^4*z2^2 - 
    8971200*ln2^2*z2^3 + 4334400*ln2*sinf*z2^3 + 3192264*z2^4 - 
    16128000*li5half*z3 + 134400*ln2^5*z3 - 42336000*li4half*sinf*z3 - 
    1764000*ln2^4*sinf*z3 - 1344000*ln2^3*z2*z3 + 10584000*ln2^2*sinf*z2*z3 + 
    7509600*ln2*z2^2*z3 + 16606800*sinf*z2^2*z3 - 22680000*ln2^2*z3^2 - 
    14490000*ln2*sinf*z3^2 + 35154000*z2*z3^2 + 61236000*ln2*z2*z5 - 
    18648000*sinf*z2*z5 - 164115000*z3*z5 + 15175125*sinf*z7)/14112000, 
 H[1, -1, 0, 1, 0, 1, 0, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    8064000*ln2^2*s6 - 48384000*ln2*s7a - 64512000*ln2*s7b + 37699200*s8a + 
    32256000*s8b + 96768000*s8c - 96768000*s8d - 32256000*ln2*s6*sinf + 
    48384000*s7a*sinf + 16128000*s7b*sinf + 8064000*li6half*z2 + 
    40320000*li4half*ln2^2*z2 + 1691200*ln2^6*z2 + 189000000*s6*z2 - 
    8064000*li5half*sinf*z2 - 32256000*li4half*ln2*sinf*z2 - 
    1276800*ln2^5*sinf*z2 + 62193600*li4half*z2^2 - 600600*ln2^4*z2^2 + 
    7392000*ln2^3*sinf*z2^2 - 27316800*ln2^2*z2^3 + 6703200*ln2*sinf*z2^3 + 
    42724152*z2^4 + 203616000*li5half*z3 - 127008000*li4half*ln2*z3 - 
    6988800*ln2^5*z3 + 18144000*li4half*sinf*z3 + 756000*ln2^4*sinf*z3 + 
    35784000*ln2^3*z2*z3 - 29232000*ln2^2*sinf*z2*z3 + 79329600*ln2*z2^2*z3 - 
    11428200*sinf*z2^2*z3 - 92106000*ln2^2*z3^2 + 24444000*ln2*sinf*z3^2 - 
    50211000*z2*z3^2 + 15624000*ln2^3*z5 + 31248000*ln2^2*sinf*z5 - 
    100296000*ln2*z2*z5 - 43564500*sinf*z2*z5 - 274656375*z3*z5 - 
    474823125*ln2*z7 + 136962000*sinf*z7)/4032000, 
 H[1, -1, 0, 1, 0, 1, -1, 1, 1] -> (-84672000*li4half^2 - 193536000*li8half + 
    112896000*li6half*ln2^2 + 32256000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 263800*ln2^8 + 126000000*ln2^2*s6 - 
    156069900*s8a - 566496000*s8b - 129024000*s8c - 16128000*s8d - 
    96768000*li7half*sinf + 129024000*li6half*ln2*sinf + 
    48384000*li5half*ln2^2*sinf - 204800*ln2^7*sinf + 71424000*ln2*s6*sinf + 
    1152000*s7a*sinf + 7200000*s7b*sinf - 112896000*li6half*z2 - 
    96768000*li5half*ln2*z2 - 10080000*li4half*ln2^2*z2 + 700000*ln2^6*z2 + 
    43344000*s6*z2 - 48384000*li5half*sinf*z2 - 32256000*li4half*ln2*sinf*
     z2 + 41328000*li4half*z2^2 - 4544400*ln2^4*z2^2 - 
    12700800*ln2^3*sinf*z2^2 - 46464000*ln2^2*z2^3 - 39871200*ln2*sinf*z2^3 + 
    14094456*z2^4 + 201600000*li5half*z3 - 739200*ln2^5*z3 + 
    20160000*li4half*sinf*z3 + 2016000*ln2^4*sinf*z3 + 5880000*ln2^3*z2*z3 - 
    7560000*ln2^2*sinf*z2*z3 + 143539200*ln2*z2^2*z3 - 8168400*sinf*z2^2*z3 + 
    6930000*ln2^2*z3^2 - 23256000*ln2*sinf*z3^2 + 130158000*z2*z3^2 - 
    3906000*ln2^3*z5 - 11718000*ln2^2*sinf*z5 + 398790000*ln2*z2*z5 - 
    15480000*sinf*z2*z5 - 250614000*z3*z5 + 204928875*sinf*z7)/8064000, 
 H[1, -1, 0, 1, 0, 1, -1, 0, 1] -> 
  (338688000*li4half^2 + 28224000*li4half*ln2^4 + 588000*ln2^8 - 
    149184000*ln2^2*s6 + 284530050*s8a + 1017072000*s8b + 185472000*s8c + 
    153216000*s8d - 40320000*ln2*s6*sinf - 72576000*s7a*sinf + 
    153216000*s7b*sinf + 620928000*li6half*z2 + 169344000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 5252800*ln2^6*z2 - 218232000*s6*z2 + 
    56448000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 + 
    4233600*ln2^5*sinf*z2 - 121060800*li4half*z2^2 + 3187800*ln2^4*z2^2 - 
    23520000*ln2^3*sinf*z2^2 + 56515200*ln2^2*z2^3 + 42420000*ln2*sinf*z2^3 - 
    118997952*z2^4 - 489888000*li5half*z3 + 4082400*ln2^5*z3 - 
    70560000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 + 336000*ln2^3*z2*z3 + 
    42336000*ln2^2*sinf*z2*z3 - 242663400*ln2*z2^2*z3 - 
    25086600*sinf*z2^2*z3 - 36666000*ln2^2*z3^2 - 111888000*ln2*sinf*z3^2 - 
    235683000*z2*z3^2 - 218736000*ln2^2*sinf*z5 - 317614500*ln2*z2*z5 - 
    377527500*sinf*z2*z5 + 678659625*z3*z5 + 522065250*sinf*z7)/28224000, 
 H[1, -1, 0, 1, 0, 1, -1, -1, 1] -> 
  (-790272000*li4half^2 - 903168000*li8half - 1354752000*li7half*ln2 - 
    790272000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    65856000*li4half*ln2^4 - 968800*ln2^8 - 393120000*ln2^2*s6 - 
    508032000*ln2*s7a - 211680000*ln2*s7b + 656511975*s8a + 1814904000*s8b + 
    1082592000*s8c - 546336000*s8d - 677376000*li7half*sinf - 
    903168000*li6half*ln2*sinf - 225792000*li5half*ln2^2*sinf + 
    761600*ln2^7*sinf - 600768000*ln2*s6*sinf + 233856000*s7a*sinf + 
    487872000*s7b*sinf + 451584000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    409248000*li4half*ln2^2*z2 + 14700000*ln2^6*z2 + 1008000000*s6*z2 - 
    225792000*li4half*ln2*sinf*z2 - 12230400*ln2^5*sinf*z2 + 
    459446400*li4half*z2^2 + 4914000*ln2^4*z2^2 + 115012800*ln2^3*sinf*z2^2 - 
    34708800*ln2^2*z2^3 + 184900800*ln2*sinf*z2^3 + 361928496*z2^4 + 
    1036224000*li5half*z3 - 1037232000*li4half*ln2*z3 - 58438800*ln2^5*z3 + 
    127008000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 + 
    300384000*ln2^3*z2*z3 - 231084000*ln2^2*sinf*z2*z3 + 
    162073800*ln2*z2^2*z3 - 193359600*sinf*z2^2*z3 - 895765500*ln2^2*z3^2 + 
    91224000*ln2*sinf*z3^2 - 727051500*z2*z3^2 - 241521000*ln2^3*z5 - 
    177723000*ln2^2*sinf*z5 - 2703582000*ln2*z2*z5 - 1441062000*sinf*z2*z5 - 
    1161349875*z3*z5 - 1208395125*ln2*z7 + 3501303750*sinf*z7)/56448000, 
 H[1, -1, 0, 1, 0, 0, 1, 1, 1] -> (-1713600*ln2^2*s6 + 798000*s8a + 
    1008000*s8b + 2016000*s8c - 604800*s8d - 2016000*ln2*s6*sinf + 
    604800*s7a*sinf + 2016000*s7b*sinf + 1209600*s6*z2 - 
    4354560*li4half*z2^2 - 181440*ln2^4*z2^2 + 1557920*ln2^2*z2^3 + 
    827680*ln2*sinf*z2^3 + 1495204*z2^4 - 2553600*li5half*z3 + 
    21280*ln2^5*z3 + 3763200*li4half*sinf*z3 + 156800*ln2^4*sinf*z3 - 
    212800*ln2^3*z2*z3 - 940800*ln2^2*sinf*z2*z3 - 2735880*ln2*z2^2*z3 - 
    2167200*sinf*z2^2*z3 - 4200*ln2^2*z3^2 + 1314600*ln2*sinf*z3^2 - 
    1923600*z2*z3^2 + 911400*ln2^3*z5 - 8782200*ln2*z2*z5 - 
    7333200*sinf*z2*z5 + 8071350*z3*z5 + 13966575*sinf*z7)/940800, 
 H[1, -1, 0, 1, 0, 0, 1, 0, 1] -> (1344000*ln2^2*s6 - 1835925*s8a + 
    4032000*s8b - 2688000*s8c + 2688000*s8d + 2688000*ln2*s6*sinf - 
    2688000*s7a*sinf - 2688000*s7b*sinf - 6384000*s6*z2 - 336000*ln2^2*z2^3 - 
    1276800*ln2*sinf*z2^3 - 582208*z2^4 - 5376000*li4half*sinf*z3 - 
    224000*ln2^4*sinf*z3 + 1344000*ln2^2*sinf*z2*z3 + 2394000*ln2*z2^2*z3 + 
    3519600*sinf*z2^2*z3 + 756000*ln2^2*z3^2 - 2604000*ln2*sinf*z3^2 + 
    2247000*z2*z3^2 + 6457500*ln2*z2*z5 + 7360500*sinf*z2*z5 - 
    4730250*z3*z5 - 17052000*sinf*z7)/672000, 
 H[1, -1, 0, 1, 0, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    43344000*ln2^2*s6 + 106848000*ln2*s7a - 133056000*ln2*s7b + 
    118293525*s8a + 1373904000*s8b - 88704000*s8c + 385056000*s8d + 
    195552000*ln2*s6*sinf + 16128000*s7a*sinf - 266112000*s7b*sinf - 
    169344000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    1024128000*s6*z2 + 169344000*li4half*ln2*sinf*z2 + 
    7056000*ln2^5*sinf*z2 + 39614400*li4half*z2^2 - 8933400*ln2^4*z2^2 - 
    42336000*ln2^3*sinf*z2^2 - 48501600*ln2^2*z2^3 - 
    129662400*ln2*sinf*z2^3 - 118502616*z2^4 - 657216000*li5half*z3 - 
    49392000*li4half*ln2*z3 + 3418800*ln2^5*z3 - 112896000*li4half*sinf*z3 - 
    4704000*ln2^4*sinf*z3 + 5208000*ln2^3*z2*z3 + 123480000*ln2^2*sinf*z2*
     z3 - 69300000*ln2*z2^2*z3 + 133572600*sinf*z2^2*z3 + 
    124425000*ln2^2*z3^2 - 23058000*ln2*sinf*z3^2 + 4347000*z2*z3^2 + 
    232407000*ln2^3*z5 + 273420000*ln2^2*sinf*z5 + 835789500*ln2*z2*z5 + 
    790524000*sinf*z2*z5 + 712679625*z3*z5 - 636489000*ln2*z7 - 
    1437801750*sinf*z7)/28224000, H[1, -1, 0, 1, 0, 0, 0, 1, 1] -> 
  (10080000*ln2^2*s6 + 1038450*s8a - 74760000*s8b - 1344000*s8c - 
    17472000*s8d + 1344000*ln2*s6*sinf + 17472000*s7a*sinf - 
    1344000*s7b*sinf + 23184000*s6*z2 - 7257600*li4half*z2^2 - 
    302400*ln2^4*z2^2 - 795200*ln2^2*z2^3 + 2004800*ln2*sinf*z2^3 + 
    1531252*z2^4 + 16128000*li5half*z3 - 134400*ln2^5*z3 + 
    18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 + 1344000*ln2^3*z2*z3 - 
    4704000*ln2^2*sinf*z2*z3 + 2192400*ln2*z2^2*z3 - 8904000*sinf*z2^2*z3 - 
    4662000*ln2^2*z3^2 + 12138000*ln2*sinf*z3^2 + 19089000*z2*z3^2 - 
    12152000*ln2^3*z5 + 40488000*ln2*z2*z5 + 25851000*sinf*z2*z5 - 
    41427750*z3*z5 - 23223375*sinf*z7)/4704000, 
 H[1, -1, 0, 1, 0, 0, 0, 0, 1] -> 
  (-253050*s8a - 1176000*s8b + 1344000*s6*z2 - 537600*li4half*z2^2 - 
    22400*ln2^4*z2^2 + 326400*ln2^2*z2^3 + 384000*ln2*sinf*z2^3 + 
    71032*z2^4 - 378000*ln2*z2^2*z3 - 176400*sinf*z2^2*z3 - 693000*z2*z3^2 - 
    1890000*ln2*z2*z5 - 630000*sinf*z2*z5 + 2105250*z3*z5 + 1362375*sinf*z7)/
   336000, H[1, -1, 0, 1, 0, 0, 0, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    7660800*ln2^2*s6 + 3225600*ln2*s7a + 14515200*ln2*s7b - 1343475*s8a - 
    13910400*s8b - 2419200*s8c + 2419200*s8d - 4032000*ln2*s6*sinf - 
    7257600*s7a*sinf + 15321600*s7b*sinf - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 - 2721600*s6*z2 - 8971200*li4half*z2^2 + 
    331800*ln2^4*z2^2 + 6585600*ln2^2*z2^3 + 6165600*ln2*sinf*z2^3 - 
    1225212*z2^4 - 13305600*li5half*z3 + 19756800*li4half*ln2*z3 + 
    934080*ln2^5*z3 + 8467200*li4half*sinf*z3 + 352800*ln2^4*sinf*z3 - 
    6048000*ln2^3*z2*z3 - 2116800*ln2^2*sinf*z2*z3 - 17267040*ln2*z2^2*z3 - 
    8726760*sinf*z2^2*z3 + 7282800*ln2^2*z3^2 - 3250800*ln2*sinf*z3^2 + 
    1241100*z2*z3^2 - 10936800*ln2^3*z5 - 21873600*ln2^2*sinf*z5 - 
    35733600*ln2*z2*z5 - 44786700*sinf*z2*z5 + 24467625*z3*z5 + 
    101489850*ln2*z7 + 76218975*sinf*z7)/2822400, 
 H[1, -1, 0, 1, 0, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    24192000*ln2^2*s6 + 34028400*s8a - 263928000*s8b + 71904000*s8c - 
    118944000*s8d - 46368000*ln2*s6*sinf + 36960000*s7a*sinf + 
    55776000*s7b*sinf + 56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 
    117600*ln2^6*z2 + 249648000*s6*z2 - 56448000*li4half*ln2*sinf*z2 - 
    2352000*ln2^5*sinf*z2 - 20966400*li4half*z2^2 + 2066400*ln2^4*z2^2 + 
    14112000*ln2^3*sinf*z2^2 + 18844000*ln2^2*z2^3 + 35873600*ln2*sinf*z2^3 + 
    35053184*z2^4 + 176736000*li5half*z3 - 1472800*ln2^5*z3 + 
    61152000*li4half*sinf*z3 + 2548000*ln2^4*sinf*z3 - 1148000*ln2^3*z2*z3 - 
    47040000*ln2^2*sinf*z2*z3 - 10630200*ln2*z2^2*z3 - 
    47493600*sinf*z2^2*z3 - 31132500*ln2^2*z3^2 + 39144000*ln2*sinf*z3^2 - 
    13282500*z2*z3^2 - 30380000*ln2^3*z5 - 63798000*ln2^2*sinf*z5 - 
    181681500*ln2*z2*z5 - 118860000*sinf*z2*z5 - 178465875*z3*z5 + 
    273577500*sinf*z7)/9408000, H[1, -1, 0, 1, 0, 0, -1, 0, 1] -> 
  (12096000*ln2^2*s6 - 20983200*s8a + 6720000*s8b - 24192000*s8c + 
    24192000*s8d + 24192000*ln2*s6*sinf - 24192000*s7a*sinf - 
    24192000*s7b*sinf - 16632000*s6*z2 - 1982400*li4half*z2^2 - 
    82600*ln2^4*z2^2 - 235200*ln2^2*z2^3 - 6904800*ln2*sinf*z2^3 - 
    4021982*z2^4 - 20160000*li5half*z3 + 168000*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 - 1680000*ln2^3*z2*z3 + 
    7056000*ln2^2*sinf*z2*z3 + 14679000*ln2*z2^2*z3 + 22743000*sinf*z2^2*z3 + 
    10017000*ln2^2*z3^2 - 17010000*ln2*sinf*z3^2 - 5155500*z2*z3^2 + 
    1795500*ln2*z2*z5 + 47470500*sinf*z2*z5 + 44260125*z3*z5 - 
    120676500*sinf*z7)/4704000, H[1, -1, 0, 1, 0, 0, -1, -1, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 + 
    94752000*ln2^2*s6 - 50400000*ln2*s7a + 217728000*ln2*s7b - 
    237538350*s8a - 1060416000*s8b - 328608000*s8c + 102816000*s8d + 
    60480000*ln2*s6*sinf - 201600000*s7a*sinf + 10080000*s7b*sinf - 
    98784000*li4half*ln2^2*z2 - 4116000*ln2^6*z2 - 22176000*s6*z2 + 
    84672000*li4half*ln2*sinf*z2 + 3528000*ln2^5*sinf*z2 - 
    177004800*li4half*z2^2 - 319200*ln2^4*z2^2 - 21168000*ln2^3*sinf*z2^2 + 
    40840800*ln2^2*z2^3 - 7375200*ln2*sinf*z2^3 - 101758056*z2^4 - 
    219744000*li5half*z3 + 296352000*li4half*ln2*z3 + 14179200*ln2^5*z3 - 
    35280000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 - 55356000*ln2^3*z2*z3 + 
    82908000*ln2^2*sinf*z2*z3 - 42525000*ln2*z2^2*z3 + 
    10508400*sinf*z2^2*z3 + 118156500*ln2^2*z3^2 - 87066000*ln2*sinf*z3^2 + 
    184495500*z2*z3^2 - 214179000*ln2^3*z5 - 136710000*ln2^2*sinf*z5 + 
    269514000*ln2*z2*z5 - 36225000*sinf*z2*z5 + 435180375*z3*z5 + 
    1464797250*ln2*z7 - 125291250*sinf*z7)/28224000, 
 H[1, -1, 0, 1, 0, -1, 1, 1, 1] -> 
  (42336000*li4half^2 + 56448000*li5half*ln2^3 + 31752000*li4half*ln2^4 + 
    779100*ln2^8 - 85680000*ln2^2*s6 + 273604275*s8a + 1069992000*s8b + 
    129024000*s8c + 209664000*s8d + 225792000*li7half*sinf + 
    56448000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    1052800*ln2^7*sinf - 34272000*ln2*s6*sinf - 8064000*s7a*sinf + 
    118944000*s7b*sinf - 169344000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 2704800*ln2^6*z2 - 567504000*s6*z2 - 
    56448000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 - 127411200*li4half*z2^2 + 3158400*ln2^4*z2^2 + 
    10466400*ln2^3*sinf*z2^2 + 65662800*ln2^2*z2^3 + 57288000*ln2*sinf*z2^3 - 
    38880096*z2^4 - 122976000*li5half*z3 + 1024800*ln2^5*z3 + 
    91728000*li4half*sinf*z3 + 3822000*ln2^4*sinf*z3 - 10248000*ln2^3*z2*z3 - 
    36162000*ln2^2*sinf*z2*z3 - 178894800*ln2*z2^2*z3 - 
    83147400*sinf*z2^2*z3 - 9654750*ln2^2*z3^2 + 6898500*ln2*sinf*z3^2 - 
    175817250*z2*z3^2 - 88861500*ln2^3*z5 - 211900500*ln2^2*sinf*z5 - 
    120487500*ln2*z2*z5 - 264505500*sinf*z2*z5 + 617085000*z3*z5 + 
    380984625*sinf*z7)/28224000, H[1, -1, 0, 1, 0, -1, 1, 0, 1] -> 
  (40320000*ln2^2*s6 - 91201425*s8a - 356664000*s8b - 43008000*s8c - 
    69888000*s8d + 51072000*ln2*s6*sinf - 13440000*s7a*sinf - 
    88704000*s7b*sinf + 131712000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1254400*ln2^6*z2 + 177408000*s6*z2 + 
    37632000*li5half*sinf*z2 - 313600*ln2^5*sinf*z2 - 5745600*li4half*z2^2 - 
    3375400*ln2^4*z2^2 + 3136000*ln2^3*sinf*z2^2 - 5143600*ln2^2*z2^3 - 
    15444800*ln2*sinf*z2^3 + 22928452*z2^4 - 20160000*li5half*z3 + 
    168000*ln2^5*z3 - 51744000*li4half*sinf*z3 - 2156000*ln2^4*sinf*z3 - 
    1680000*ln2^3*z2*z3 + 12936000*ln2^2*sinf*z2*z3 + 42021000*ln2*z2^2*z3 + 
    56578200*sinf*z2^2*z3 + 6930000*ln2^2*z3^2 - 15036000*ln2*sinf*z3^2 + 
    66286500*z2*z3^2 + 72912000*ln2^2*sinf*z5 - 46567500*ln2*z2*z5 + 
    214263000*sinf*z2*z5 - 143826375*z3*z5 - 489410250*sinf*z7)/9408000, 
 H[1, -1, 0, 1, 0, -1, 1, -1, 1] -> (90316800*li4half^2 - 451584000*li8half - 
    270950400*li7half*ln2 - 7526400*li5half*ln2^3 - 3763200*li4half*ln2^4 - 
    208320*ln2^8 + 235267200*ln2^2*s6 - 40320000*ln2*s7a + 
    100800000*ln2*s7b - 326451825*s8a - 1444564800*s8b - 333446400*s8c + 
    403200*s8d - 361267200*li7half*sinf - 15052800*li4half*ln2^3*sinf - 
    555520*ln2^7*sinf + 146764800*ln2*s6*sinf - 90316800*s7a*sinf + 
    22579200*li5half*ln2*z2 - 16934400*li4half*ln2^2*z2 + 486080*ln2^6*z2 + 
    137491200*s6*z2 + 67737600*li4half*ln2*sinf*z2 + 5080320*ln2^5*sinf*z2 - 
    59189760*li4half*z2^2 - 13708800*ln2^4*z2^2 - 40360320*ln2^3*sinf*z2^2 - 
    47856480*ln2^2*z2^3 - 72710400*ln2*sinf*z2^3 - 29071488*z2^4 - 
    12096000*li5half*z3 + 26812800*li4half*ln2*z3 + 1218000*ln2^5*z3 - 
    33868800*li4half*sinf*z3 - 1411200*ln2^4*sinf*z3 + 19807200*ln2^3*z2*z3 + 
    74088000*ln2^2*sinf*z2*z3 + 179935560*ln2*z2^2*z3 + 
    18839520*sinf*z2^2*z3 - 3817800*ln2^2*z3^2 - 113513400*ln2*sinf*z3^2 + 
    297183600*z2*z3^2 - 124861800*ln2^3*z5 - 87494400*ln2^2*sinf*z5 + 
    664284600*ln2*z2*z5 - 2822400*sinf*z2*z5 - 50266125*z3*z5 + 
    809446050*ln2*z7 + 266540400*sinf*z7)/11289600, 
 H[1, -1, 0, 1, 0, -1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    24864000*ln2^2*s6 + 21946575*s8a + 21336000*s8b + 49728000*s8c - 
    49728000*s8d + 6720000*ln2*s6*sinf - 6720000*s7a*sinf - 
    6720000*s7b*sinf + 37632000*li5half*ln2*z2 - 9408000*li4half*ln2^2*z2 - 
    705600*ln2^6*z2 + 99456000*s6*z2 + 75264000*li5half*sinf*z2 + 
    37632000*li4half*ln2*sinf*z2 + 940800*ln2^5*sinf*z2 - 
    35112000*li4half*z2^2 + 497000*ln2^4*z2^2 - 3136000*ln2^3*sinf*z2^2 + 
    13314000*ln2^2*z2^3 + 10382400*ln2*sinf*z2^3 + 30949572*z2^4 - 
    74592000*li5half*z3 + 621600*ln2^5*z3 - 23520000*li4half*sinf*z3 - 
    980000*ln2^4*sinf*z3 - 6216000*ln2^3*z2*z3 + 5880000*ln2^2*sinf*z2*z3 - 
    55011600*ln2*z2^2*z3 + 10311000*sinf*z2^2*z3 - 6993000*ln2^2*z3^2 - 
    8400000*ln2*sinf*z3^2 - 30019500*z2*z3^2 - 208425000*ln2*z2*z5 - 
    52584000*sinf*z2*z5 + 50736000*z3*z5 - 44362500*sinf*z7)/9408000, 
 H[1, -1, 0, 1, 0, -1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    10080000*ln2^2*s6 + 9810675*s8a - 24192000*s8b - 20160000*s8c + 
    20160000*s8d - 36288000*ln2*s6*sinf + 36288000*s7a*sinf + 
    36288000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    40320000*s6*z2 + 59774400*li4half*z2^2 - 1037400*ln2^4*z2^2 - 
    10306800*ln2^2*z2^3 + 14616000*ln2*sinf*z2^3 - 28742292*z2^4 + 
    114912000*li5half*z3 - 957600*ln2^5*z3 + 42336000*li4half*sinf*z3 + 
    1764000*ln2^4*sinf*z3 + 9576000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 + 
    34473600*ln2*z2^2*z3 - 40332600*sinf*z2^2*z3 - 5103000*ln2^2*z3^2 + 
    29484000*ln2*sinf*z3^2 + 7623000*z2*z3^2 + 102816000*ln2*z2*z5 - 
    92484000*sinf*z2*z5 - 59802750*z3*z5 + 224618625*sinf*z7)/14112000, 
 H[1, -1, 0, 1, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    14112000*ln2^2*s6 - 22176000*ln2*s7a - 22176000*ln2*s7b + 32094300*s8a + 
    3360000*s8b + 72576000*s8c - 72576000*s8d - 18816000*ln2*s6*sinf + 
    18816000*s7a*sinf + 18816000*s7b*sinf + 9408000*li5half*ln2*z2 + 
    18816000*li4half*ln2^2*z2 + 705600*ln2^6*z2 + 145152000*s6*z2 + 
    18816000*li5half*sinf*z2 - 18816000*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 + 22058400*li4half*z2^2 + 527100*ln2^4*z2^2 + 
    6272000*ln2^3*sinf*z2^2 - 5481000*ln2^2*z2^3 + 14750400*ln2*sinf*z2^3 + 
    32657748*z2^4 + 116928000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    3032400*ln2^5*z3 + 11760000*li4half*sinf*z3 + 490000*ln2^4*sinf*z3 + 
    9744000*ln2^3*z2*z3 - 27636000*ln2^2*sinf*z2*z3 + 14464800*ln2*z2^2*z3 - 
    11833500*sinf*z2^2*z3 - 42042000*ln2^2*z3^2 + 15288000*ln2*sinf*z3^2 - 
    41918625*z2*z3^2 - 167396250*ln2*z2*z5 - 73353000*sinf*z2*z5 - 
    134728125*z3*z5 - 162713250*ln2*z7 + 122010000*sinf*z7)/4704000, 
 H[1, -1, 0, 1, 0, -1, -1, 1, 1] -> (67737600*li4half^2 + 225792000*li8half - 
    135475200*li6half*ln2^2 - 52684800*li5half*ln2^3 + 138880*ln2^8 - 
    136080000*ln2^2*s6 + 119229075*s8a + 363988800*s8b + 142329600*s8c - 
    68947200*s8d + 90316800*li7half*sinf - 135475200*li6half*ln2*sinf - 
    67737600*li5half*ln2^2*sinf - 7526400*li4half*ln2^3*sinf + 
    44800*ln2^7*sinf - 94752000*ln2*s6*sinf + 15724800*s7a*sinf + 
    1612800*s7b*sinf + 135475200*li6half*z2 + 135475200*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 666400*ln2^6*z2 + 166118400*s6*z2 + 
    67737600*li5half*sinf*z2 + 22579200*li4half*ln2*sinf*z2 - 
    188160*ln2^5*sinf*z2 - 51045120*li4half*z2^2 + 4435200*ln2^4*z2^2 + 
    11712960*ln2^3*sinf*z2^2 + 35172480*ln2^2*z2^3 + 46435200*ln2*sinf*z2^3 + 
    17874312*z2^4 - 93542400*li5half*z3 + 779520*ln2^5*z3 - 
    8467200*li4half*sinf*z3 - 352800*ln2^4*sinf*z3 - 13087200*ln2^3*z2*z3 - 
    13759200*ln2^2*sinf*z2*z3 - 130286520*ln2*z2^2*z3 - 
    1169280*sinf*z2^2*z3 - 2066400*ln2^2*z3^2 + 45763200*ln2*sinf*z3^2 - 
    127474200*z2*z3^2 + 44658600*ln2^3*z5 + 62886600*ln2^2*sinf*z5 - 
    525420000*ln2*z2*z5 - 53512200*sinf*z2*z5 + 66457125*z3*z5 - 
    88622100*sinf*z7)/11289600, H[1, -1, 0, 1, 0, -1, -1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    66528000*ln2^2*s6 - 74100600*s8a - 38304000*s8b - 133056000*s8c + 
    133056000*s8d + 20160000*ln2*s6*sinf - 20160000*s7a*sinf - 
    20160000*s7b*sinf - 508032000*li6half*z2 - 395136000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 456624000*s6*z2 - 
    112896000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1411200*ln2^5*sinf*z2 + 95054400*li4half*z2^2 + 2784600*ln2^4*z2^2 + 
    4704000*ln2^3*sinf*z2^2 - 28316400*ln2^2*z2^3 - 19286400*ln2*sinf*z2^3 - 
    12470736*z2^4 + 114912000*li5half*z3 - 957600*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 9576000*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 + 128406600*ln2*z2^2*z3 + 5707800*sinf*z2^2*z3 + 
    28854000*ln2^2*z3^2 - 4914000*ln2*sinf*z3^2 + 139371750*z2*z3^2 + 
    720877500*ln2*z2*z5 + 136836000*sinf*z2*z5 - 18624375*z3*z5 - 
    81380250*sinf*z7)/28224000, H[1, -1, 0, 1, 0, -1, -1, -1, 1] -> 
  (-169344000*li4half^2 + 1128960000*li8half + 1354752000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 188160000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 14000*ln2^8 + 20160000*ln2^2*s6 + 
    88704000*ln2*s7a - 292320000*ln2*s7b + 264785850*s8a + 1224720000*s8b + 
    290304000*s8c - 92736000*s8d + 903168000*li7half*sinf + 
    677376000*li6half*ln2*sinf + 225792000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 448000*ln2^7*sinf + 90720000*ln2*s6*sinf + 
    163296000*s7a*sinf - 147168000*s7b*sinf - 338688000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 
    40320000*s6*z2 - 84672000*li4half*ln2*sinf*z2 - 4468800*ln2^5*sinf*z2 + 
    84470400*li4half*z2^2 + 5871600*ln2^4*z2^2 + 21168000*ln2^3*sinf*z2^2 - 
    7980000*ln2^2*z2^3 + 38320800*ln2*sinf*z2^3 + 38626296*z2^4 + 
    241920000*li5half*z3 - 70560000*li4half*ln2*z3 - 4956000*ln2^5*z3 + 
    49392000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 + 756000*ln2^3*z2*z3 - 
    86436000*ln2^2*sinf*z2*z3 - 6375600*ln2*z2^2*z3 + 15321600*sinf*z2^2*z3 + 
    9859500*ln2^2*z3^2 + 132678000*ln2*sinf*z3^2 - 199647000*z2*z3^2 + 
    182280000*ln2^3*z5 + 109368000*ln2^2*sinf*z5 + 191079000*ln2*z2*z5 + 
    442008000*sinf*z2*z5 - 407090250*z3*z5 - 2778528375*ln2*z7 - 
    1520528625*sinf*z7)/56448000, H[1, -1, 0, 1, -1, 1, 1, 1, 1] -> 
  (14112000*li4half^2 - 2145024000*li8half - 70560000*li6half*ln2^2 - 
    4704000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 157500*ln2^8 + 
    214452000*ln2^2*s6 - 624221325*s8a - 4142880000*s8b - 467712000*s8c - 
    301392000*s8d + 296352000*li7half*sinf - 141120000*li6half*ln2*sinf - 
    7056000*li5half*ln2^2*sinf + 7056000*li4half*ln2^3*sinf + 
    98000*ln2^7*sinf - 69048000*ln2*s6*sinf + 30240000*s7a*sinf - 
    47376000*s7b*sinf + 70560000*li6half*z2 + 14112000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1274000*ln2^6*z2 + 1006740000*s6*z2 + 
    7056000*li5half*sinf*z2 + 35280000*li4half*ln2*sinf*z2 - 
    294000*ln2^5*sinf*z2 - 101203200*li4half*z2^2 + 17509800*ln2^4*z2^2 + 
    15582000*ln2^3*sinf*z2^2 + 28488600*ln2^2*z2^3 + 52642800*ln2*sinf*z2^3 + 
    105522588*z2^4 + 578088000*li5half*z3 - 6052200*ln2^5*z3 + 
    1764000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 + 60522000*ln2^3*z2*z3 + 
    8820000*ln2^2*sinf*z2*z3 + 490858200*ln2*z2^2*z3 + 
    20676600*sinf*z2^2*z3 + 73820250*ln2^2*z3^2 + 53896500*ln2*sinf*z3^2 + 
    483855750*z2*z3^2 - 34177500*ln2^3*z5 + 23924250*ln2^2*sinf*z5 + 
    1505668500*ln2*z2*z5 + 192858750*sinf*z2*z5 - 273325500*z3*z5 - 
    643009500*sinf*z7)/14112000, H[1, -1, 0, 1, -1, 1, 1, 0, 1] -> 
  (98784000*li4half^2 + 6773760000*li8half - 169344000*li6half*ln2^2 + 
    8232000*li4half*ln2^4 + 104300*ln2^8 - 683424000*ln2^2*s6 + 
    1887229575*s8a + 12054168000*s8b + 1310400000*s8c + 891072000*s8d - 
    2709504000*li7half*sinf - 338688000*li6half*ln2*sinf + 67200*ln2^7*sinf + 
    456624000*ln2*s6*sinf - 513072000*s7a*sinf + 481824000*s7b*sinf - 
    338688000*li6half*z2 + 211680000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 2234400*ln2^6*z2 - 3052224000*s6*z2 + 
    70560000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 - 
    4233600*ln2^5*sinf*z2 + 168336000*li4half*z2^2 - 9920400*ln2^4*z2^2 - 
    48804000*ln2^3*sinf*z2^2 - 4107600*ln2^2*z2^3 - 219038400*ln2*sinf*z2^3 - 
    352808208*z2^4 - 2011464000*li5half*z3 - 3528000*li4half*ln2*z3 + 
    16615200*ln2^5*z3 - 67032000*li4half*sinf*z3 - 2793000*ln2^4*sinf*z3 - 
    194964000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 - 
    1480852800*ln2*z2^2*z3 - 127852200*sinf*z2^2*z3 - 142159500*ln2^2*z3^2 - 
    557109000*ln2*sinf*z3^2 - 1367131500*z2*z3^2 - 963805500*ln2^2*sinf*z5 - 
    4257981000*ln2*z2*z5 - 1555375500*sinf*z2*z5 + 1067590125*z3*z5 + 
    4939333875*sinf*z7)/28224000, H[1, -1, 0, 1, -1, 1, 1, -1, 1] -> 
  (48384000*li4half^2 + 1185408000*li8half + 88704000*li7half*ln2 + 
    48384000*li6half*ln2^2 + 672000*li4half*ln2^4 + 23000*ln2^8 - 
    104688000*ln2^2*s6 + 29088000*ln2*s7a - 19296000*ln2*s7b + 
    362804400*s8a + 2395008000*s8b + 205632000*s8c + 260064000*s8d - 
    48384000*li7half*sinf + 96768000*li6half*ln2*sinf - 
    4032000*li4half*ln2^3*sinf - 24000*ln2^7*sinf + 76896000*ln2*s6*sinf - 
    22464000*s7a*sinf - 34560000*s7b*sinf - 48384000*li6half*z2 + 
    2016000*li4half*ln2^2*z2 + 151200*ln2^6*z2 - 780192000*s6*z2 + 
    24192000*li4half*ln2*sinf*z2 + 1310400*ln2^5*sinf*z2 + 
    22176000*li4half*z2^2 - 8526000*ln2^4*z2^2 - 17740800*ln2^3*sinf*z2^2 + 
    2750400*ln2^2*z2^3 - 36734400*ln2*sinf*z2^3 - 98292096*z2^4 - 
    520128000*li5half*z3 + 8064000*li4half*ln2*z3 + 5376000*ln2^5*z3 - 
    12096000*li4half*sinf*z3 + 378000*ln2^4*sinf*z3 - 36540000*ln2^3*z2*z3 + 
    29484000*ln2^2*sinf*z2*z3 - 311745600*ln2*z2^2*z3 + 
    13942800*sinf*z2^2*z3 + 10467000*ln2^2*z3^2 - 22032000*ln2*sinf*z3^2 - 
    251181000*z2*z3^2 + 46872000*ln2^3*z5 + 11718000*ln2^2*sinf*z5 - 
    558702000*ln2*z2*z5 + 101898000*sinf*z2*z5 + 431676000*z3*z5 - 
    90001125*ln2*z7 - 154818000*sinf*z7)/8064000, 
 H[1, -1, 0, 1, -1, 1, 0, 1, 1] -> 
  (-310464000*li4half^2 - 9031680000*li8half + 1354752000*li6half*ln2^2 + 
    301056000*li5half*ln2^3 - 25872000*li4half*ln2^4 - 1390200*ln2^8 + 
    1925280000*ln2^2*s6 - 3985893450*s8a - 22959216000*s8b - 2665152000*s8c - 
    2217600000*s8d + 5419008000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf - 1075200*ln2^7*sinf - 
    135072000*ln2*s6*sinf + 1320480000*s7a*sinf - 1530144000*s7b*sinf - 
    3725568000*li6half*z2 - 903168000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 8428000*ln2^6*z2 + 4957344000*s6*z2 + 
    169344000*li5half*sinf*z2 - 225792000*li4half*ln2*sinf*z2 - 
    7056000*ln2^5*sinf*z2 - 306633600*li4half*z2^2 - 19244400*ln2^4*z2^2 + 
    49392000*ln2^3*sinf*z2^2 - 153400800*ln2^2*z2^3 + 
    138381600*ln2*sinf*z2^3 + 1140082248*z2^4 + 4773888000*li5half*z3 + 
    14112000*li4half*ln2*z3 - 39194400*ln2^5*z3 + 141120000*li4half*sinf*z3 + 
    5880000*ln2^4*sinf*z3 + 334320000*ln2^3*z2*z3 - 
    130536000*ln2^2*sinf*z2*z3 + 3176938800*ln2*z2^2*z3 + 
    400402800*sinf*z2^2*z3 + 137529000*ln2^2*z3^2 + 
    1176084000*ln2*sinf*z3^2 + 3533103000*z2*z3^2 - 145824000*ln2^3*z5 + 
    2542806000*ln2^2*sinf*z5 + 8432928000*ln2*z2*z5 + 4057326000*sinf*z2*z5 - 
    4469078250*z3*z5 - 11863522125*sinf*z7)/56448000, 
 H[1, -1, 0, 1, -1, 1, 0, 0, 1] -> (-182784000*ln2^2*s6 + 394480275*s8a + 
    1865640000*s8b + 318528000*s8c + 189504000*s8d + 6720000*ln2*s6*sinf - 
    53760000*s7a*sinf + 115584000*s7b*sinf + 451584000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 313600*ln2^6*z2 - 411936000*s6*z2 + 
    37632000*li5half*sinf*z2 - 313600*ln2^5*sinf*z2 + 33432000*li4half*z2^2 - 
    9191000*ln2^4*z2^2 - 18032000*ln2^3*sinf*z2^2 + 82216400*ln2^2*z2^3 + 
    50848000*ln2*sinf*z2^3 - 52520116*z2^4 - 397824000*li5half*z3 + 
    7056000*li4half*ln2*z3 + 3609200*ln2^5*z3 - 40208000*ln2^3*z2*z3 - 
    10584000*ln2^2*sinf*z2*z3 - 314769000*ln2*z2^2*z3 - 
    24322200*sinf*z2^2*z3 - 46998000*ln2^2*z3^2 - 71610000*ln2*sinf*z3^2 - 
    393540000*z2*z3^2 - 164052000*ln2^2*sinf*z5 - 997920000*ln2*z2*z5 - 
    358932000*sinf*z2*z5 + 668416875*z3*z5 + 504278250*sinf*z7)/9408000, 
 H[1, -1, 0, 1, -1, 1, 0, -1, 1] -> 
  (-32256000*li4half^2 - 774144000*li7half*ln2 - 193536000*li6half*ln2^2 - 
    2688000*li4half*ln2^4 - 171200*ln2^8 - 67104000*ln2^2*s6 - 
    203040000*ln2*s7a + 228384000*ln2*s7b + 215812800*s8a + 741888000*s8b + 
    290304000*s8c - 96768000*s8d - 1548288000*li7half*sinf - 
    387072000*li6half*ln2*sinf - 230400*ln2^7*sinf + 77184000*ln2*s6*sinf - 
    327168000*s7a*sinf + 576000000*s7b*sinf + 24192000*li6half*z2 + 
    2016000*li4half*ln2^2*z2 + 924000*ln2^6*z2 + 127008000*s6*z2 + 
    44352000*li5half*sinf*z2 - 32256000*li4half*ln2*sinf*z2 - 
    100800*ln2^5*sinf*z2 - 9273600*li4half*z2^2 - 13087200*ln2^4*z2^2 - 
    15657600*ln2^3*sinf*z2^2 + 18350400*ln2^2*z2^3 - 2942400*ln2*sinf*z2^3 + 
    97071648*z2^4 + 138096000*li5half*z3 + 26208000*li4half*ln2*z3 - 
    58800*ln2^5*z3 + 20160000*li4half*sinf*z3 + 840000*ln2^4*sinf*z3 - 
    18228000*ln2^3*z2*z3 - 49644000*ln2^2*sinf*z2*z3 - 
    201967200*ln2*z2^2*z3 - 172605600*sinf*z2^2*z3 - 275598000*ln2^2*z3^2 - 
    370908000*ln2*sinf*z3^2 - 227115000*z2*z3^2 - 417942000*ln2^3*z5 - 
    874944000*ln2^2*sinf*z5 - 1555272000*ln2*z2*z5 - 1773459000*sinf*z2*z5 - 
    100280250*z3*z5 + 1662175125*ln2*z7 + 4352112000*sinf*z7)/8064000, 
 H[1, -1, 0, 1, -1, 1, -1, 1, 1] -> 
  (8382528000*li8half - 84672000*li6half*ln2^2 - 28224000*li5half*ln2^3 - 
    1176000*li4half*ln2^4 + 276500*ln2^8 - 1075536000*ln2^2*s6 + 
    2897790525*s8a + 18570888000*s8b + 2080512000*s8c + 1581552000*s8d - 
    1157184000*li7half*sinf - 42336000*li5half*ln2^2*sinf + 
    582400*ln2^7*sinf + 176400000*ln2*s6*sinf - 176400000*s7a*sinf + 
    197568000*s7b*sinf + 84672000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 646800*ln2^6*z2 - 4958856000*s6*z2 + 
    42336000*li5half*sinf*z2 + 5409600*ln2^5*sinf*z2 + 
    315604800*li4half*z2^2 - 65289000*ln2^4*z2^2 - 61152000*ln2^3*sinf*z2^2 + 
    67132800*ln2^2*z2^3 - 130586400*ln2*sinf*z2^3 - 479465856*z2^4 - 
    3311280000*li5half*z3 - 7056000*li4half*ln2*z3 + 29769600*ln2^5*z3 + 
    3087000*ln2^4*sinf*z3 - 288288000*ln2^3*z2*z3 + 
    2646000*ln2^2*sinf*z2*z3 - 2367892800*ln2*z2^2*z3 - 
    52479000*sinf*z2^2*z3 - 228406500*ln2^2*z3^2 - 201978000*ln2*sinf*z3^2 - 
    2312509500*z2*z3^2 + 123039000*ln2^3*z5 - 177723000*ln2^2*sinf*z5 - 
    6610653000*ln2*z2*z5 - 776601000*sinf*z2*z5 + 2454046875*z3*z5 + 
    2283939000*sinf*z7)/28224000, H[1, -1, 0, 1, -1, 1, -1, 0, 1] -> 
  (-258048000*li8half + 6451200*li6half*ln2^2 + 2560*ln2^8 + 
    29232000*ln2^2*s6 - 79110675*s8a - 514584000*s8b - 55238400*s8c - 
    42336000*s8d + 103219200*li7half*sinf + 12902400*li6half*ln2*sinf - 
    2560*ln2^7*sinf - 15436800*ln2*s6*sinf + 18662400*s7a*sinf - 
    21657600*s7b*sinf + 4032000*li6half*z2 - 3628800*li5half*ln2*z2 - 
    201600*li4half*ln2^2*z2 + 72240*ln2^6*z2 + 134064000*s6*z2 - 
    1209600*li5half*sinf*z2 + 171360*ln2^5*sinf*z2 - 8547840*li4half*z2^2 + 
    591360*ln2^4*z2^2 + 2251200*ln2^3*sinf*z2^2 - 389520*ln2^2*z2^3 + 
    8264160*ln2*sinf*z2^3 + 13817088*z2^4 + 88603200*li5half*z3 + 
    806400*li4half*ln2*z3 - 704760*ln2^5*z3 + 7459200*ln2^3*z2*z3 - 
    680400*ln2^2*sinf*z2*z3 + 63735840*ln2*z2^2*z3 + 6287040*sinf*z2^2*z3 + 
    6129900*ln2^2*z3^2 + 20052000*ln2*sinf*z3^2 + 61954200*z2*z3^2 + 
    39060000*ln2^2*sinf*z5 + 180324900*ln2*z2*z5 + 69749100*sinf*z2*z5 - 
    55840050*z3*z5 - 208821600*sinf*z7)/806400, 
 H[1, -1, 0, 1, -1, 1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 8241408000*li8half - 423360000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 56448000*li5half*ln2^3 - 
    5880000*li4half*ln2^4 - 532000*ln2^8 + 998424000*ln2^2*s6 - 
    130032000*ln2*s7a + 187488000*ln2*s7b - 2845098900*s8a - 
    18229680000*s8b - 1729728000*s8c - 1925280000*s8d + 
    620928000*li7half*sinf + 56448000*li6half*ln2*sinf + 
    84672000*li5half*ln2^2*sinf - 750400*ln2^7*sinf - 225792000*ln2*s6*sinf + 
    162288000*s7a*sinf + 197568000*s7b*sinf - 28224000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 + 215600*ln2^6*z2 + 
    5709816000*s6*z2 - 84672000*li4half*ln2*sinf*z2 - 7408800*ln2^5*sinf*z2 - 
    357537600*li4half*z2^2 + 51752400*ln2^4*z2^2 + 60916800*ln2^3*sinf*z2^2 - 
    88099200*ln2^2*z2^3 + 175140000*ln2*sinf*z2^3 + 729180576*z2^4 + 
    3871728000*li5half*z3 + 81144000*li4half*ln2*z3 - 31353000*ln2^5*z3 + 
    52920000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 266196000*ln2^3*z2*z3 - 
    116424000*ln2^2*sinf*z2*z3 + 2258361000*ln2*z2^2*z3 - 
    78674400*sinf*z2^2*z3 - 53361000*ln2^2*z3^2 + 44541000*ln2*sinf*z3^2 + 
    2101018500*z2*z3^2 - 416965500*ln2^3*z5 - 198229500*ln2^2*sinf*z5 + 
    4792567500*ln2*z2*z5 - 581458500*sinf*z2*z5 - 3435232500*z3*z5 + 
    838002375*ln2*z7 + 585372375*sinf*z7)/28224000, 
 H[1, -1, 0, 1, -1, 0, 1, 1, 1] -> 
  (366912000*li4half^2 + 2257920000*li8half - 677376000*li6half*ln2^2 - 
    301056000*li5half*ln2^3 - 25872000*li4half*ln2^4 - 91000*ln2^8 - 
    841680000*ln2^2*s6 + 553900725*s8a + 3096072000*s8b + 893088000*s8c - 
    441504000*s8d - 1806336000*li7half*sinf - 1354752000*li6half*ln2*sinf - 
    451584000*li5half*ln2^2*sinf - 75264000*li4half*ln2^3*sinf - 
    896000*ln2^7*sinf - 550368000*ln2*s6*sinf - 239904000*s7a*sinf + 
    282240000*s7b*sinf + 677376000*li6half*z2 + 903168000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 - 3253600*ln2^6*z2 + 1052352000*s6*z2 + 
    451584000*li5half*sinf*z2 - 1881600*ln2^5*sinf*z2 - 
    202608000*li4half*z2^2 + 19194000*ln2^4*z2^2 + 37632000*ln2^3*sinf*z2^2 + 
    176097600*ln2^2*z2^3 + 59976000*ln2*sinf*z2^3 + 173455416*z2^4 - 
    1431360000*li5half*z3 - 7056000*li4half*ln2*z3 + 11634000*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 - 
    112224000*ln2^3*z2*z3 + 17640000*ln2^2*sinf*z2*z3 - 
    1013380200*ln2*z2^2*z3 - 69854400*sinf*z2^2*z3 + 25452000*ln2^2*z3^2 + 
    2205000*ln2*sinf*z3^2 - 836073000*z2*z3^2 + 428358000*ln2^3*z5 + 
    136710000*ln2^2*sinf*z5 - 3964338000*ln2*z2*z5 - 1487934000*sinf*z2*z5 + 
    677903625*z3*z5 + 3432413250*sinf*z7)/56448000, 
 H[1, -1, 0, 1, -1, 0, 1, 0, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    124992000*ln2^2*s6 + 25825275*s8a + 1247400000*s8b - 362880000*s8c + 
    701568000*s8d + 32256000*ln2*s6*sinf - 145152000*s7a*sinf + 
    80640000*s7b*sinf - 677376000*li6half*z2 - 677376000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 - 1882944000*s6*z2 - 
    225792000*li5half*sinf*z2 + 1881600*ln2^5*sinf*z2 + 
    258148800*li4half*z2^2 - 3355800*ln2^4*z2^2 - 18816000*ln2^3*sinf*z2^2 - 
    18135600*ln2^2*z2^3 - 36724800*ln2*sinf*z2^3 - 226857756*z2^4 + 
    64512000*li5half*z3 - 42336000*li4half*ln2*z3 - 2301600*ln2^5*z3 - 
    70560000*li4half*sinf*z3 - 2940000*ln2^4*sinf*z3 + 47712000*ln2^3*z2*z3 + 
    81144000*ln2^2*sinf*z2*z3 + 259169400*ln2*z2^2*z3 + 
    3540600*sinf*z2^2*z3 + 82782000*ln2^2*z3^2 - 117936000*ln2*sinf*z3^2 + 
    248125500*z2*z3^2 - 218736000*ln2^2*sinf*z5 + 1812321000*ln2*z2*z5 - 
    2709000*sinf*z2*z5 + 273727125*z3*z5 + 259591500*sinf*z7)/28224000, 
 H[1, -1, 0, 1, -1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 + 6773760000*li8half + 5419008000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 47040000*li4half*ln2^4 + 2189600*ln2^8 - 
    1311408000*ln2^2*s6 + 1203552000*ln2*s7a - 1661184000*ln2*s7b + 
    1916370225*s8a + 13651848000*s8b + 949536000*s8c + 1675296000*s8d + 
    7225344000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    75264000*li4half*ln2^3*sinf + 3584000*ln2^7*sinf - 
    749952000*ln2*s6*sinf + 1483776000*s7a*sinf - 2354688000*s7b*sinf - 
    677376000*li6half*z2 - 1100736000*li5half*ln2*z2 - 
    310464000*li4half*ln2^2*z2 - 15052800*ln2^6*z2 - 5029920000*s6*z2 + 
    225792000*li4half*ln2*sinf*z2 - 7526400*ln2^5*sinf*z2 + 
    493113600*li4half*z2^2 + 134148000*ln2^4*z2^2 + 
    156643200*ln2^3*sinf*z2^2 + 95407200*ln2^2*z2^3 + 
    200793600*ln2*sinf*z2^3 - 629398944*z2^4 - 2616768000*li5half*z3 - 
    176400000*li4half*ln2*z3 + 14456400*ln2^5*z3 - 
    197568000*li4half*sinf*z3 - 8232000*ln2^4*sinf*z3 - 
    105168000*ln2^3*z2*z3 + 186984000*ln2^2*sinf*z2*z3 - 
    871302600*ln2*z2^2*z3 + 760233600*sinf*z2^2*z3 + 1270584000*ln2^2*z3^2 + 
    1654065000*ln2*sinf*z3^2 - 1164177000*z2*z3^2 + 2775213000*ln2^3*z5 + 
    3718512000*ln2^2*sinf*z5 + 3325896000*ln2*z2*z5 + 7036848000*sinf*z2*z5 + 
    1773347625*z3*z5 - 13458831750*ln2*z7 - 18537246000*sinf*z7)/56448000, 
 H[1, -1, 0, 1, -1, 0, 0, 1, 1] -> 
  (-70560000*li4half^2 - 5880000*li4half*ln2^4 - 122500*ln2^8 + 
    26208000*ln2^2*s6 + 94466925*s8a + 317772000*s8b + 32256000*s8c + 
    66528000*s8d + 51408000*ln2*s6*sinf + 33264000*s7a*sinf + 
    75600000*s7b*sinf + 338688000*li6half*z2 + 7056000*li4half*ln2^2*z2 + 
    764400*ln2^6*z2 - 41328000*s6*z2 - 225792000*li5half*sinf*z2 - 
    56448000*li4half*ln2*sinf*z2 - 470400*ln2^5*sinf*z2 + 
    17539200*li4half*z2^2 - 3679200*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 - 
    38077200*ln2^2*z2^3 - 23007600*ln2*sinf*z2^3 - 63364482*z2^4 + 
    135072000*li5half*z3 + 10584000*li4half*ln2*z3 - 684600*ln2^5*z3 + 
    91728000*li4half*sinf*z3 + 3822000*ln2^4*sinf*z3 + 672000*ln2^3*z2*z3 - 
    38808000*ln2^2*sinf*z2*z3 + 4712400*ln2*z2^2*z3 - 60631200*sinf*z2^2*z3 - 
    29011500*ln2^2*z3^2 - 7371000*ln2*sinf*z3^2 - 71048250*z2*z3^2 - 
    45570000*ln2^3*z5 - 109368000*ln2^2*sinf*z5 + 39942000*ln2*z2*z5 + 
    86184000*sinf*z2*z5 - 112919625*z3*z5 + 304652250*sinf*z7)/14112000, 
 H[1, -1, 0, 1, -1, 0, 0, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    14112000*ln2^2*s6 - 35124075*s8a - 175392000*s8b - 20160000*s8c - 
    28224000*s8d - 2304000*ln2*s6*sinf + 10368000*s7a*sinf - 
    21888000*s7b*sinf - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    84672000*s6*z2 - 9777600*li4half*z2^2 + 96600*ln2^4*z2^2 - 
    7393200*ln2^2*z2^3 - 6751200*ln2*sinf*z2^3 + 6462948*z2^4 + 
    24192000*li5half*z3 - 201600*ln2^5*z3 - 6048000*li4half*sinf*z3 - 
    252000*ln2^4*sinf*z3 + 2016000*ln2^3*z2*z3 + 1512000*ln2^2*sinf*z2*z3 + 
    18975600*ln2*z2^2*z3 + 7754400*sinf*z2^2*z3 + 1890000*ln2^2*z3^2 + 
    11070000*ln2*sinf*z3^2 + 22176000*z2*z3^2 + 31248000*ln2^2*sinf*z5 + 
    44320500*ln2*z2*z5 + 59917500*sinf*z2*z5 - 54227250*z3*z5 - 
    96646500*sinf*z7)/2016000, H[1, -1, 0, 1, -1, 0, 0, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    2016000*ln2^2*s6 + 8265600*ln2*s7a - 11491200*ln2*s7b + 6347250*s8a + 
    63100800*s8b - 3628800*s8c + 20563200*s8d + 4032000*ln2*s6*sinf + 
    12902400*s7a*sinf - 15321600*s7b*sinf + 33868800*li6half*z2 + 
    2822400*li4half*ln2^2*z2 + 164640*ln2^6*z2 - 39715200*s6*z2 - 
    22579200*li5half*sinf*z2 - 5644800*li4half*ln2*sinf*z2 - 
    47040*ln2^5*sinf*z2 + 8981280*li4half*z2^2 - 331380*ln2^4*z2^2 - 
    470400*ln2^3*sinf*z2^2 - 6121080*ln2^2*z2^3 - 10543680*ln2*sinf*z2^3 - 
    13522176*z2^4 - 40420800*li5half*z3 - 11995200*li4half*ln2*z3 - 
    162960*ln2^5*z3 + 11289600*li4half*sinf*z3 + 470400*ln2^4*sinf*z3 + 
    1218000*ln2^3*z2*z3 + 352800*ln2^2*sinf*z2*z3 - 5656140*ln2*z2^2*z3 - 
    190260*sinf*z2^2*z3 + 9387000*ln2^2*z3^2 + 13217400*ln2*sinf*z3^2 - 
    5469975*z2*z3^2 + 19139400*ln2^3*z5 + 27342000*ln2^2*sinf*z5 + 
    45259200*ln2*z2*z5 + 70011900*sinf*z2*z5 + 53222400*z3*z5 - 
    19852875*ln2*z7 - 72029475*sinf*z7)/2822400, 
 H[1, -1, 0, 1, -1, 0, -1, 1, 1] -> 
  (-903168000*li4half^2 - 4515840000*li8half + 2032128000*li6half*ln2^2 + 
    602112000*li5half*ln2^3 - 75264000*li4half*ln2^4 - 3875200*ln2^8 + 
    1214640000*ln2^2*s6 - 504820575*s8a - 5776344000*s8b - 227808000*s8c - 
    590688000*s8d + 2709504000*li6half*ln2*sinf + 903168000*li5half*ln2^2*
     sinf - 3763200*ln2^7*sinf + 1205568000*ln2*s6*sinf + 
    262080000*s7a*sinf + 628992000*s7b*sinf - 2032128000*li6half*z2 - 
    705600000*li5half*ln2*z2 + 310464000*li4half*ln2^2*z2 + 
    26969600*ln2^6*z2 + 489888000*s6*z2 - 903168000*li5half*sinf*z2 - 
    790272000*li4half*ln2*sinf*z2 - 6585600*ln2^5*sinf*z2 + 
    189504000*li4half*z2^2 - 136281600*ln2^4*z2^2 - 
    90787200*ln2^3*sinf*z2^2 + 15271200*ln2^2*z2^3 - 
    172569600*ln2*sinf*z2^3 + 547005168*z2^4 + 3150000000*li5half*z3 + 
    56448000*li4half*ln2*z3 - 23898000*ln2^5*z3 + 649152000*li4half*sinf*z3 + 
    27048000*ln2^4*sinf*z3 + 94920000*ln2^3*z2*z3 - 
    469224000*ln2^2*sinf*z2*z3 + 1003476600*ln2*z2^2*z3 - 
    466956000*sinf*z2^2*z3 - 537957000*ln2^2*z3^2 - 342720000*ln2*sinf*z3^2 + 
    920556000*z2*z3^2 - 802032000*ln2^3*z5 - 1558494000*ln2^2*sinf*z5 + 
    1884267000*ln2*z2*z5 - 656082000*sinf*z2*z5 - 2123375625*z3*z5 + 
    3213000000*sinf*z7)/56448000, H[1, -1, 0, 1, -1, 0, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    106848000*ln2^2*s6 - 189935550*s8a - 579600000*s8b - 213696000*s8c + 
    44352000*s8d + 56448000*ln2*s6*sinf - 56448000*s7a*sinf - 
    169344000*s7b*sinf + 846720000*li6half*z2 + 338688000*li5half*ln2*z2 - 
    1646400*ln2^6*z2 + 511056000*s6*z2 + 112896000*li5half*sinf*z2 + 
    56448000*li4half*ln2*sinf*z2 + 1411200*ln2^5*sinf*z2 + 
    11340000*li4half*z2^2 + 7528500*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 - 
    65776200*ln2^2*z2^3 - 25284000*ln2*sinf*z2^3 - 148332468*z2^4 - 
    180432000*li5half*z3 - 28224000*li4half*ln2*z3 + 327600*ln2^5*z3 - 
    119952000*li4half*sinf*z3 - 4998000*ln2^4*sinf*z3 + 
    13188000*ln2^3*z2*z3 + 72324000*ln2^2*sinf*z2*z3 + 
    101631600*ln2*z2^2*z3 + 100327500*sinf*z2^2*z3 + 58716000*ln2^2*z3^2 - 
    13230000*ln2*sinf*z3^2 - 63370125*z2*z3^2 + 109368000*ln2^2*sinf*z5 + 
    74182500*ln2*z2*z5 + 312007500*sinf*z2*z5 + 209183625*z3*z5 - 
    849917250*sinf*z7)/14112000, H[1, -1, 0, 1, -1, 0, -1, -1, 1] -> 
  (56448000*li4half^2 - 4515840000*li8half - 5419008000*li7half*ln2 - 
    2032128000*li6half*ln2^2 - 301056000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 747600*ln2^8 + 781200000*ln2^2*s6 - 
    1167264000*ln2*s7a + 1161216000*ln2*s7b - 1377159525*s8a - 
    8218728000*s8b - 1372896000*s8c - 122976000*s8d - 
    5419008000*li7half*sinf - 2709504000*li6half*ln2*sinf - 
    451584000*li5half*ln2^2*sinf + 1075200*ln2^7*sinf - 
    54432000*ln2*s6*sinf - 1356768000*s7a*sinf + 1056384000*s7b*sinf + 
    1354752000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 - 2312800*ln2^6*z2 + 1699488000*s6*z2 + 
    141120000*li4half*ln2*sinf*z2 + 2116800*ln2^5*sinf*z2 - 
    11894400*li4half*z2^2 - 5199600*ln2^4*z2^2 - 35280000*ln2^3*sinf*z2^2 - 
    271101600*ln2^2*z2^3 - 242222400*ln2*sinf*z2^3 - 272794824*z2^4 + 
    41328000*li5half*z3 - 303408000*li4half*ln2*z3 - 12986400*ln2^5*z3 - 
    63504000*li4half*sinf*z3 - 2646000*ln2^4*sinf*z3 + 
    195720000*ln2^3*z2*z3 + 248724000*ln2^2*sinf*z2*z3 + 
    659421000*ln2*z2^2*z3 - 275486400*sinf*z2^2*z3 - 601650000*ln2^2*z3^2 - 
    836892000*ln2*sinf*z3^2 + 823945500*z2*z3^2 - 1827357000*ln2^3*z5 - 
    1695204000*ln2^2*sinf*z5 - 7686000*ln2*z2*z5 - 3178539000*sinf*z2*z5 + 
    1469545875*z3*z5 + 11443335750*ln2*z7 + 9851861250*sinf*z7)/56448000, 
 H[1, -1, 0, 1, -1, -1, 1, 1, 1] -> 
  (-846720000*li8half - 45158400*li6half*ln2^2 - 11289600*li5half*ln2^3 - 
    470400*li4half*ln2^4 - 9240*ln2^8 + 41126400*ln2^2*s6 - 239828400*s8a - 
    1534176000*s8b - 144345600*s8c - 146361600*s8d + 135475200*li7half*sinf - 
    90316800*li6half*ln2*sinf - 16934400*li5half*ln2^2*sinf - 
    11200*ln2^7*sinf - 82656000*ln2*s6*sinf + 20563200*s7a*sinf - 
    24595200*s7b*sinf + 45158400*li6half*z2 + 33868800*li5half*ln2*z2 - 
    219520*ln2^6*z2 + 469123200*s6*z2 + 16934400*li5half*sinf*z2 - 
    517440*ln2^5*sinf*z2 - 29836800*li4half*z2^2 + 5812800*ln2^4*z2^2 + 
    12418560*ln2^3*sinf*z2^2 + 20220480*ln2^2*z2^3 + 29121120*ln2*sinf*z2^3 + 
    60452352*z2^4 + 233452800*li5half*z3 + 1411200*li4half*ln2*z3 - 
    1886640*ln2^5*z3 + 18043200*ln2^3*z2*z3 - 2116800*ln2^2*sinf*z2*z3 + 
    166279680*ln2*z2^2*z3 + 7282800*sinf*z2^2*z3 + 31323600*ln2^2*z3^2 + 
    47754000*ln2*sinf*z3^2 + 154123200*z2*z3^2 + 21873600*ln2^3*z5 + 
    76557600*ln2^2*sinf*z5 + 367416000*ln2*z2*z5 + 40849200*sinf*z2*z5 - 
    113803200*z3*z5 - 221361525*sinf*z7)/11289600, 
 H[1, -1, 0, 1, -1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    199584000*ln2^2*s6 - 383487300*s8a - 1631952000*s8b - 399168000*s8c - 
    24192000*s8d + 20160000*ln2*s6*sinf - 20160000*s7a*sinf - 
    118944000*s7b*sinf + 42336000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 
    646800*ln2^6*z2 + 260064000*s6*z2 + 14112000*li5half*sinf*z2 + 
    56448000*li4half*ln2*sinf*z2 + 2234400*ln2^5*sinf*z2 - 
    21067200*li4half*z2^2 + 6178200*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 - 
    73634400*ln2^2*z2^3 - 43848000*ln2*sinf*z2^3 - 76867848*z2^4 + 
    2520000*li5half*z3 - 45864000*li4half*ln2*z3 - 1932000*ln2^5*z3 - 
    35280000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 + 46074000*ln2^3*z2*z3 + 
    77616000*ln2^2*sinf*z2*z3 + 276469200*ln2*z2^2*z3 + 
    52012800*sinf*z2^2*z3 + 74765250*ln2^2*z3^2 + 12064500*ln2*sinf*z3^2 + 
    342924750*z2*z3^2 + 95697000*ln2^2*sinf*z5 + 1175674500*ln2*z2*z5 + 
    345208500*sinf*z2*z5 - 206584875*z3*z5 - 682463250*sinf*z7)/28224000, 
 H[1, -1, 0, 1, -1, -1, 1, -1, 1] -> 
  (169344000*li4half^2 + 6773760000*li8half + 733824000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 16464000*li4half*ln2^4 + 649600*ln2^8 - 
    546336000*ln2^2*s6 + 191520000*ln2*s7a - 260064000*ln2*s7b + 
    1916370225*s8a + 13651848000*s8b + 949536000*s8c + 1675296000*s8d - 
    169344000*li7half*sinf + 338688000*li6half*ln2*sinf + 504000*ln2^7*sinf + 
    330624000*ln2*s6*sinf - 90720000*s7a*sinf - 344736000*s7b*sinf - 
    169344000*li6half*z2 - 705600*ln2^6*z2 - 4782960000*s6*z2 + 
    169344000*li4half*ln2*sinf*z2 + 9878400*ln2^5*sinf*z2 + 
    280022400*li4half*z2^2 - 36842400*ln2^4*z2^2 - 83966400*ln2^3*sinf*z2^2 + 
    3074400*ln2^2*z2^3 - 211226400*ln2*sinf*z2^3 - 662027904*z2^4 - 
    3350592000*li5half*z3 - 155232000*li4half*ln2*z3 + 21453600*ln2^5*z3 - 
    105840000*li4half*sinf*z3 - 4410000*ln2^4*sinf*z3 - 
    129276000*ln2^3*z2*z3 + 248724000*ln2^2*sinf*z2*z3 - 
    1506443400*ln2*z2^2*z3 + 153619200*sinf*z2^2*z3 + 121086000*ln2^2*z3^2 - 
    82971000*ln2*sinf*z3^2 - 1279719000*z2*z3^2 + 437472000*ln2^3*z5 + 
    246078000*ln2^2*sinf*z5 - 2070558000*ln2*z2*z5 + 1020600000*sinf*z2*z5 + 
    2576849625*z3*z5 - 1946314125*ln2*z7 - 1800673875*sinf*z7)/56448000, 
 H[1, -1, 0, 1, -1, -1, 0, 1, 1] -> 
  (4515840000*li8half - 677376000*li6half*ln2^2 - 150528000*li5half*ln2^3 + 
    425600*ln2^8 - 1119888000*ln2^2*s6 + 2267837775*s8a + 12208392000*s8b + 
    1647072000*s8c + 1005984000*s8d - 2709504000*li7half*sinf - 
    1354752000*li6half*ln2*sinf - 225792000*li5half*ln2^2*sinf + 
    537600*ln2^7*sinf + 32256000*ln2*s6*sinf - 624960000*s7a*sinf + 
    927360000*s7b*sinf + 2032128000*li6half*z2 + 451584000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 3684800*ln2^6*z2 - 2308320000*s6*z2 - 
    169344000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 + 
    196963200*li4half*z2^2 + 15850800*ln2^4*z2^2 - 3528000*ln2^3*sinf*z2^2 + 
    97204800*ln2^2*z2^3 - 14750400*ln2*sinf*z2^3 - 525905976*z2^4 - 
    2011968000*li5half*z3 + 35280000*li4half*ln2*z3 + 18236400*ln2^5*z3 - 
    202944000*ln2^3*z2*z3 - 52920000*ln2^2*sinf*z2*z3 - 
    1695065400*ln2*z2^2*z3 - 270144000*sinf*z2^2*z3 - 134820000*ln2^2*z3^2 - 
    587601000*ln2*sinf*z3^2 - 2090403000*z2*z3^2 + 45570000*ln2^3*z5 - 
    1435455000*ln2^2*sinf*z5 - 5077926000*ln2*z2*z5 - 2451141000*sinf*z2*z5 + 
    2159269875*z3*z5 + 6863346000*sinf*z7)/56448000, 
 H[1, -1, 0, 1, -1, -1, 0, 0, 1] -> 
  (8400000*ln2^2*s6 - 23416050*s8a - 116928000*s8b - 13440000*s8c - 
    18816000*s8d - 1920000*ln2*s6*sinf + 5280000*s7a*sinf - 
    4128000*s7b*sinf - 32256000*li6half*z2 - 8064000*li5half*ln2*z2 - 
    1344000*li4half*ln2^2*z2 - 33600*ln2^6*z2 + 36624000*s6*z2 - 
    2688000*li5half*sinf*z2 - 2688000*li4half*ln2*sinf*z2 - 
    89600*ln2^5*sinf*z2 - 3360000*li4half*z2^2 + 952000*ln2^4*z2^2 + 
    1960000*ln2^3*sinf*z2^2 - 5436800*ln2^2*z2^3 - 2161600*ln2*sinf*z2^3 + 
    8388472*z2^4 + 36960000*li5half*z3 + 1344000*li4half*ln2*z3 - 
    252000*ln2^5*z3 - 336000*li4half*sinf*z3 - 14000*ln2^4*sinf*z3 + 
    1736000*ln2^3*z2*z3 - 1932000*ln2^2*sinf*z2*z3 + 19609800*ln2*z2^2*z3 + 
    1216200*sinf*z2^2*z3 + 777000*ln2^2*z3^2 + 4374000*ln2*sinf*z3^2 + 
    23635500*z2*z3^2 + 9114000*ln2^2*sinf*z5 + 43438500*ln2*z2*z5 + 
    13459500*sinf*z2*z5 - 64892625*z3*z5 - 14257500*sinf*z7)/1344000, 
 H[1, -1, 0, 1, -1, -1, 0, -1, 1] -> 
  (-169344000*li4half^2 + 903168000*li7half*ln2 + 225792000*li6half*ln2^2 - 
    14112000*li4half*ln2^4 - 159600*ln2^8 + 36288000*ln2^2*s6 + 
    143136000*ln2*s7a - 289632000*ln2*s7b - 230560050*s8a - 1498896000*s8b - 
    48384000*s8c - 346752000*s8d + 1806336000*li7half*sinf + 
    451584000*li6half*ln2*sinf + 268800*ln2^7*sinf - 204960000*ln2*s6*sinf + 
    515424000*s7a*sinf - 510048000*s7b*sinf + 37632000*li4half*ln2^2*z2 + 
    627200*ln2^6*z2 + 858144000*s6*z2 - 65856000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 4860800*ln2^5*sinf*z2 + 
    33667200*li4half*z2^2 + 18572400*ln2^4*z2^2 + 47667200*ln2^3*sinf*z2^2 - 
    71478400*ln2^2*z2^3 + 67261600*ln2*sinf*z2^3 + 89346952*z2^4 + 
    775824000*li5half*z3 - 94080000*li4half*ln2*z3 - 10385200*ln2^5*z3 + 
    49392000*li4half*sinf*z3 + 2058000*ln2^4*sinf*z3 + 47600000*ln2^3*z2*z3 - 
    93492000*ln2^2*sinf*z2*z3 + 387105600*ln2*z2^2*z3 + 
    122707200*sinf*z2^2*z3 + 105535500*ln2^2*z3^2 + 483903000*ln2*sinf*z3^2 + 
    164104500*z2*z3^2 + 419244000*ln2^3*z5 + 993426000*ln2^2*sinf*z5 + 
    1009470000*ln2*z2*z5 + 1595286000*sinf*z2*z5 - 1120554750*z3*z5 - 
    2317578375*ln2*z7 - 4060678125*sinf*z7)/18816000, 
 H[1, -1, 0, 1, -1, -1, -1, 1, 1] -> 
  (-141120000*li4half^2 - 4515840000*li8half + 338688000*li6half*ln2^2 + 
    94080000*li5half*ln2^3 - 16464000*li4half*ln2^4 - 866600*ln2^8 + 
    255024000*ln2^2*s6 - 504820575*s8a - 5776344000*s8b - 227808000*s8c - 
    590688000*s8d + 225792000*li7half*sinf + 338688000*li6half*ln2*sinf + 
    141120000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf - 
    1142400*ln2^7*sinf + 181440000*ln2*s6*sinf - 40320000*s7a*sinf + 
    368928000*s7b*sinf - 338688000*li6half*z2 - 282240000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 4625600*ln2^6*z2 + 1449504000*s6*z2 - 
    141120000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    2587200*ln2^5*sinf*z2 - 65923200*li4half*z2^2 + 2545200*ln2^4*z2^2 + 
    6820800*ln2^3*sinf*z2^2 + 141069600*ln2^2*z2^3 + 
    118087200*ln2*sinf*z2^3 + 343290888*z2^4 + 1675296000*li5half*z3 + 
    49392000*li4half*ln2*z3 - 11902800*ln2^5*z3 + 77616000*li4half*sinf*z3 + 
    3234000*ln2^4*sinf*z3 + 53172000*ln2^3*z2*z3 - 
    167580000*ln2^2*sinf*z2*z3 + 612574200*ln2*z2^2*z3 - 
    152460000*sinf*z2^2*z3 - 85711500*ln2^2*z3^2 - 168147000*ln2*sinf*z3^2 + 
    468310500*z2*z3^2 - 227850000*ln2^3*z5 - 738234000*ln2^2*sinf*z5 + 
    1366974000*ln2*z2*z5 - 754740000*sinf*z2*z5 - 414610875*z3*z5 + 
    1425666375*sinf*z7)/56448000, H[1, -1, 0, 1, -1, -1, -1, 0, 1] -> 
  (129024000*li8half - 3225600*li6half*ln2^2 - 1280*ln2^8 - 
    8870400*ln2^2*s6 + 32292225*s8a + 246254400*s8b + 18950400*s8c + 
    26208000*s8d - 51609600*li7half*sinf - 6451200*li6half*ln2*sinf + 
    1280*ln2^7*sinf + 10252800*ln2*s6*sinf - 9043200*s7a*sinf + 
    3456000*s7b*sinf + 11289600*li6half*z2 + 2419200*li5half*ln2*z2 - 
    403200*li4half*ln2^2*z2 - 43680*ln2^6*z2 - 65923200*s6*z2 + 
    806400*li5half*sinf*z2 + 806400*li4half*ln2*sinf*z2 - 
    53760*ln2^5*sinf*z2 + 5846400*li4half*z2^2 - 482160*ln2^4*z2^2 - 
    1612800*ln2^3*sinf*z2^2 - 2088000*ln2^2*z2^3 - 6024960*ln2*sinf*z2^3 - 
    10927296*z2^4 - 55036800*li5half*z3 - 1612800*li4half*ln2*z3 + 
    391440*ln2^5*z3 - 806400*li4half*sinf*z3 - 33600*ln2^4*sinf*z3 - 
    2973600*ln2^3*z2*z3 + 2620800*ln2^2*sinf*z2*z3 - 28110600*ln2*z2^2*z3 - 
    353520*sinf*z2^2*z3 - 1530900*ln2^2*z3^2 - 9036000*ln2*sinf*z3^2 - 
    28942200*z2*z3^2 - 12108600*ln2^2*sinf*z5 - 74352600*ln2*z2*z5 - 
    16376400*sinf*z2*z5 + 37631475*z3*z5 + 69475950*sinf*z7)/1612800, 
 H[1, -1, 0, 1, -1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 + 1975680000*li8half - 508032000*li7half*ln2 - 
    395136000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 277200*ln2^8 - 112896000*ln2^2*s6 - 
    135072000*ln2*s7a + 20160000*ln2*s7b + 375883200*s8a + 2548224000*s8b + 
    241920000*s8c + 167328000*s8d - 508032000*li7half*sinf - 
    451584000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf + 806400*ln2^7*sinf - 129024000*ln2*s6*sinf + 
    16128000*s7a*sinf - 110880000*s7b*sinf + 225792000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 980000*ln2^6*z2 - 
    482832000*s6*z2 - 28224000*li4half*ln2*sinf*z2 - 2116800*ln2^5*sinf*z2 + 
    95558400*li4half*z2^2 - 1722000*ln2^4*z2^2 + 18580800*ln2^3*sinf*z2^2 - 
    125244000*ln2^2*z2^3 - 71013600*ln2*sinf*z2^3 - 172699488*z2^4 - 
    362880000*li5half*z3 - 91728000*li4half*ln2*z3 - 798000*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 - 7308000*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 - 246430800*ln2*z2^2*z3 + 
    22881600*sinf*z2^2*z3 - 88861500*ln2^2*z3^2 + 130410000*ln2*sinf*z3^2 - 
    312417000*z2*z3^2 - 13671000*ln2^3*z5 + 328104000*ln2^2*sinf*z5 - 
    994896000*ln2*z2*z5 + 329679000*sinf*z2*z5 + 28460250*z3*z5 + 
    900317250*ln2*z7 - 59842125*sinf*z7)/56448000, 
 H[1, -1, 0, 0, 1, 1, 1, 1, 1] -> (-6048000*li4half^2 - 4032000*li8half + 
    2016000*li6half*ln2^2 + 1344000*li5half*ln2^3 + 2000*ln2^8 - 
    1512000*ln2^2*s6 + 1820700*s8a + 1008000*s8b + 2016000*s8c - 
    1008000*s8d + 4032000*li7half*sinf + 4032000*li6half*ln2*sinf + 
    2016000*li5half*ln2^2*sinf + 672000*li4half*ln2^3*sinf + 
    16000*ln2^7*sinf - 2016000*ln2*s6*sinf + 1008000*s7a*sinf + 
    2016000*s7b*sinf - 2016000*li6half*z2 - 4032000*li5half*ln2*z2 - 
    22400*ln2^6*z2 + 2016000*s6*z2 - 2016000*li5half*sinf*z2 - 
    2016000*li4half*ln2*sinf*z2 - 134400*ln2^5*sinf*z2 - 
    201600*li4half*z2^2 + 75600*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 + 
    374400*ln2^2*z2^3 + 698400*ln2*sinf*z2^3 + 4932*z2^4 + 
    9072000*li5half*z3 + 42000*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    294000*ln2^4*sinf*z3 - 420000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 - 
    63000*ln2*z2^2*z3 - 2721600*sinf*z2^2*z3 - 157500*ln2^2*z3^2 + 
    1512000*ln2*sinf*z3^2 - 1669500*z2*z3^2 + 651000*ln2^3*z5 - 
    8001000*ln2*z2*z5 - 6930000*sinf*z2*z5 + 6473250*z3*z5 + 
    15112125*sinf*z7)/2016000, H[1, -1, 0, 0, 1, 1, 1, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    9072000*ln2^2*s6 - 70070175*s8a + 76104000*s8b + 18144000*s8c - 
    18144000*s8d - 18144000*ln2*s6*sinf + 18144000*s7a*sinf + 
    18144000*s7b*sinf + 56448000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 22176000*s6*z2 + 
    28224000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    940800*ln2^5*sinf*z2 - 24796800*li4half*z2^2 - 3973200*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 - 1646400*ln2^2*z2^3 - 11608800*ln2*sinf*z2^3 + 
    64905072*z2^4 - 55440000*li5half*z3 + 462000*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 + 15960000*ln2^3*z2*z3 + 
    26460000*ln2^2*sinf*z2*z3 - 17073000*ln2*z2^2*z3 + 
    26359200*sinf*z2^2*z3 - 19971000*ln2^2*z3^2 - 12159000*ln2*sinf*z3^2 + 
    69741000*z2*z3^2 - 98091000*ln2*z2*z5 - 67851000*sinf*z2*z5 - 
    454915125*z3*z5 + 62393625*sinf*z7)/28224000, 
 H[1, -1, 0, 0, 1, 1, 1, -1, 1] -> (-18816000*li4half^2 + 18816000*li8half - 
    37632000*li7half*ln2 - 9408000*li6half*ln2^2 - 3920000*li4half*ln2^4 - 
    135800*ln2^8 - 18480000*ln2^2*s6 - 10080000*ln2*s7a - 24192000*ln2*s7b + 
    69599775*s8a + 453096000*s8b + 75936000*s8c + 27552000*s8d - 
    56448000*li7half*sinf - 18816000*li6half*ln2*sinf - 
    3136000*li4half*ln2^3*sinf - 145600*ln2^7*sinf + 6048000*ln2*s6*sinf + 
    12768000*s7a*sinf + 17472000*s7b*sinf + 9408000*li6half*z2 + 
    21168000*li4half*ln2^2*z2 + 1509200*ln2^6*z2 - 116256000*s6*z2 + 
    4704000*li4half*ln2*sinf*z2 + 1136800*ln2^5*sinf*z2 + 
    23856000*li4half*z2^2 - 5964000*ln2^4*z2^2 - 2195200*ln2^3*sinf*z2^2 - 
    3847200*ln2^2*z2^3 - 5040000*ln2*sinf*z2^3 + 16613904*z2^4 - 
    55104000*li5half*z3 - 62328000*li4half*ln2*z3 - 2686600*ln2^5*z3 - 
    2352000*li4half*sinf*z3 - 784000*ln2^4*sinf*z3 + 13244000*ln2^3*z2*z3 - 
    9408000*ln2^2*sinf*z2*z3 - 19895400*ln2*z2^2*z3 - 4258800*sinf*z2^2*z3 - 
    35773500*ln2^2*z3^2 - 9030000*ln2*sinf*z3^2 - 48646500*z2*z3^2 + 
    13671000*ln2^3*z5 - 4557000*ln2^2*sinf*z5 - 156303000*ln2*z2*z5 - 
    51471000*sinf*z2*z5 - 19196625*z3*z5 - 178557750*ln2*z7 + 
    162198750*sinf*z7)/9408000, H[1, -1, 0, 0, 1, 1, 0, 1, 1] -> 
  (21168000*li4half^2 + 1764000*li4half*ln2^4 + 36750*ln2^8 + 
    14616000*ln2^2*s6 + 13000050*s8a - 53424000*s8b - 22176000*s8c + 
    15120000*s8d + 22176000*ln2*s6*sinf - 15120000*s7a*sinf - 
    22176000*s7b*sinf - 14112000*li6half*z2 - 3528000*li4half*ln2^2*z2 - 
    166600*ln2^6*z2 - 33768000*s6*z2 + 14112000*li5half*sinf*z2 + 
    14112000*li4half*ln2*sinf*z2 + 470400*ln2^5*sinf*z2 - 
    7207200*li4half*z2^2 - 447300*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 + 
    2725800*ln2^2*z2^3 - 319200*ln2*sinf*z2^3 - 23803782*z2^4 - 
    58464000*li5half*z3 + 487200*ln2^5*z3 - 8820000*li4half*sinf*z3 - 
    367500*ln2^4*sinf*z3 - 756000*ln2^3*z2*z3 + 8379000*ln2^2*sinf*z2*z3 + 
    7597800*ln2*z2^2*z3 + 11623500*sinf*z2^2*z3 + 6536250*ln2^2*z3^2 - 
    12064500*ln2*sinf*z3^2 - 3984750*z2*z3^2 - 4557000*ln2^3*z5 + 
    80199000*ln2*z2*z5 + 68890500*sinf*z2*z5 + 169281000*z3*z5 - 
    168060375*sinf*z7)/7056000, H[1, -1, 0, 0, 1, 1, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 504000*ln2^2*s6 + 
    508725*s8a + 1512000*s8b + 1008000*s8c - 1008000*s8d - 
    1008000*ln2*s6*sinf + 1008000*s7a*sinf + 1008000*s7b*sinf + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 + 3024000*s6*z2 + 
    201600*li4half*z2^2 - 117600*ln2^4*z2^2 - 75600*ln2^2*z2^3 + 
    176400*ln2*sinf*z2^3 + 381366*z2^4 + 4032000*li5half*z3 - 
    33600*ln2^5*z3 + 1512000*li4half*sinf*z3 + 63000*ln2^4*sinf*z3 + 
    336000*ln2^3*z2*z3 - 378000*ln2^2*sinf*z2*z3 - 1499400*ln2*z2^2*z3 - 
    1845900*sinf*z2^2*z3 + 1543500*ln2*sinf*z3^2 - 409500*z2*z3^2 - 
    5197500*ln2*z2*z5 - 3685500*sinf*z2*z5 - 1464750*z3*z5 + 
    10284750*sinf*z7)/1008000, H[1, -1, 0, 0, 1, 1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    4536000*ln2^2*s6 + 35280000*ln2*s7a + 49392000*ln2*s7b - 16706025*s8a - 
    108360000*s8b - 75600000*s8c + 75600000*s8d + 33264000*ln2*s6*sinf - 
    47376000*s7a*sinf - 19152000*s7b*sinf - 14112000*li6half*z2 - 
    21168000*li4half*ln2^2*z2 - 901600*ln2^6*z2 - 147672000*s6*z2 + 
    14112000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 + 
    470400*ln2^5*sinf*z2 - 27216000*li4half*z2^2 + 924000*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 + 19761000*ln2^2*z2^3 + 1495200*ln2*sinf*z2^3 - 
    59589834*z2^4 - 168840000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    4494000*ln2^5*z3 - 7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 
    28476000*ln2^3*z2*z3 + 7938000*ln2^2*sinf*z2*z3 - 61324200*ln2*z2^2*z3 + 
    5991300*sinf*z2^2*z3 + 78765750*ln2^2*z3^2 - 11151000*ln2*sinf*z3^2 + 
    26491500*z2*z3^2 - 13671000*ln2^3*z5 - 27342000*ln2^2*sinf*z5 + 
    81270000*ln2*z2*z5 + 52069500*sinf*z2*z5 + 357666750*z3*z5 + 
    519387750*ln2*z7 - 156145500*sinf*z7)/14112000, 
 H[1, -1, 0, 0, 1, 1, -1, 1, 1] -> (-84672000*li4half^2 - 451584000*li8half - 
    56448000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 7056000*li4half*ln2^4 + 
    390600*ln2^8 + 433440000*ln2^2*s6 - 942407550*s8a - 6529824000*s8b - 
    782208000*s8c - 770112000*s8d - 338688000*li7half*sinf - 
    112896000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    851200*ln2^7*sinf - 10080000*ln2*s6*sinf - 4032000*s7a*sinf - 
    187488000*s7b*sinf + 56448000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 5997600*ln2^6*z2 + 2274048000*s6*z2 + 
    112896000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    11760000*ln2^5*sinf*z2 - 113097600*li4half*z2^2 + 55616400*ln2^4*z2^2 + 
    28459200*ln2^3*sinf*z2^2 - 175341600*ln2^2*z2^3 - 
    15573600*ln2*sinf*z2^3 - 57597048*z2^4 + 1145088000*li5half*z3 - 
    12835200*ln2^5*z3 + 35280000*li4half*sinf*z3 - 2646000*ln2^4*sinf*z3 + 
    64848000*ln2^3*z2*z3 + 26460000*ln2^2*sinf*z2*z3 + 
    965689200*ln2*z2^2*z3 + 62193600*sinf*z2^2*z3 + 52668000*ln2^2*z3^2 + 
    46998000*ln2*sinf*z3^2 + 705726000*z2*z3^2 + 9114000*ln2^3*z5 + 
    191394000*ln2^2*sinf*z5 + 2319282000*ln2*z2*z5 + 542808000*sinf*z2*z5 - 
    989651250*z3*z5 - 911869875*sinf*z7)/56448000, 
 H[1, -1, 0, 0, 1, 1, -1, 0, 1] -> (-26006400*ln2^2*s6 + 59341275*s8a + 
    339998400*s8b + 47779200*s8c + 36892800*s8d + 3628800*ln2*s6*sinf - 
    7862400*s7a*sinf + 17539200*s7b*sinf - 5644800*li6half*z2 - 
    8467200*li5half*ln2*z2 + 62720*ln2^6*z2 - 112240800*s6*z2 - 
    2822400*li5half*sinf*z2 + 23520*ln2^5*sinf*z2 + 7378560*li4half*z2^2 - 
    1868160*ln2^4*z2^2 - 3410400*ln2^3*sinf*z2^2 + 16748760*ln2^2*z2^3 + 
    3650640*ln2*sinf*z2^3 + 3708174*z2^4 - 64612800*li5half*z3 + 
    538440*ln2^5*z3 - 7442400*ln2^3*z2*z3 - 1234800*ln2^2*sinf*z2*z3 - 
    56780640*ln2*z2^2*z3 - 6268500*sinf*z2^2*z3 - 5726700*ln2^2*z3^2 - 
    7843500*ln2*sinf*z3^2 - 49880250*z2*z3^2 - 24607800*ln2^2*sinf*z5 - 
    151275600*ln2*z2*z5 - 54961200*sinf*z2*z5 + 97349175*z3*z5 + 
    100681875*sinf*z7)/2822400, H[1, -1, 0, 0, 1, 1, -1, -1, 1] -> 
  (225792000*li4half^2 - 1806336000*li8half - 1128960000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 112896000*li5half*ln2^3 + 
    18816000*li4half*ln2^4 - 291200*ln2^8 + 239904000*ln2^2*s6 - 
    322560000*ln2*s7a + 467712000*ln2*s7b - 95073300*s8a - 1695456000*s8b - 
    60480000*s8c - 52416000*s8d - 790272000*li7half*sinf + 
    112896000*li6half*ln2*sinf + 169344000*li5half*ln2^2*sinf - 
    1097600*ln2^7*sinf + 336672000*ln2*s6*sinf - 463680000*s7a*sinf + 
    425376000*s7b*sinf - 56448000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 + 2587200*ln2^6*z2 + 224784000*s6*z2 + 
    56448000*li4half*ln2*sinf*z2 + 10819200*ln2^5*sinf*z2 - 
    179827200*li4half*z2^2 - 57120000*ln2^4*z2^2 - 50332800*ln2^3*sinf*z2^2 + 
    67485600*ln2^2*z2^3 - 5594400*ln2*sinf*z2^3 + 65239992*z2^4 + 
    147168000*li5half*z3 + 296352000*li4half*ln2*z3 + 14414400*ln2^5*z3 - 
    28224000*li4half*sinf*z3 + 2940000*ln2^4*sinf*z3 - 48888000*ln2^3*z2*z3 - 
    17640000*ln2^2*sinf*z2*z3 - 189453600*ln2*z2^2*z3 - 
    120531600*sinf*z2^2*z3 - 221382000*ln2^2*z3^2 - 399672000*ln2*sinf*z3^2 - 
    5796000*z2*z3^2 - 820260000*ln2^3*z5 - 943299000*ln2^2*sinf*z5 - 
    1135134000*ln2*z2*z5 - 1277325000*sinf*z2*z5 + 931581000*z3*z5 + 
    3994767000*ln2*z7 + 2684500875*sinf*z7)/56448000, 
 H[1, -1, 0, 0, 1, 0, 1, 1, 1] -> (2688000*ln2^2*s6 - 2563575*s8a - 
    9912000*s8b - 672000*s8c - 4032000*s8d + 672000*ln2*s6*sinf + 
    4032000*s7a*sinf - 672000*s7b*sinf + 8064000*s6*z2 + 
    2419200*li4half*z2^2 + 100800*ln2^4*z2^2 - 2178400*ln2^2*z2^3 - 
    1416800*ln2*sinf*z2^3 + 2183368*z2^4 + 10752000*li5half*z3 - 
    89600*ln2^5*z3 - 2688000*li4half*sinf*z3 - 112000*ln2^4*sinf*z3 + 
    896000*ln2^3*z2*z3 + 672000*ln2^2*sinf*z2*z3 - 659400*ln2*z2^2*z3 + 
    176400*sinf*z2^2*z3 - 1491000*ln2^2*z3^2 + 1869000*ln2*sinf*z3^2 + 
    9744000*z2*z3^2 - 3038000*ln2^3*z5 + 11130000*ln2*z2*z5 + 
    6678000*sinf*z2*z5 - 41566875*z3*z5 - 4286625*sinf*z7)/1344000, 
 H[1, -1, 0, 0, 1, 0, 1, 0, 1] -> (3360000*ln2^2*s6 - 3635100*s8a - 
    42168000*s8b - 6720000*s8c + 6720000*s8d + 6720000*ln2*s6*sinf - 
    6720000*s7a*sinf - 6720000*s7b*sinf + 3024000*s6*z2 - 
    5241600*li4half*z2^2 - 218400*ln2^4*z2^2 + 4166400*ln2^2*z2^3 + 
    4200000*ln2*sinf*z2^3 - 7622276*z2^4 - 32256000*li5half*z3 + 
    268800*ln2^5*z3 + 18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 - 
    2688000*ln2^3*z2*z3 - 4704000*ln2^2*sinf*z2*z3 + 3112200*ln2*z2^2*z3 - 
    2389800*sinf*z2^2*z3 + 4914000*ln2^2*z3^2 - 462000*ln2*sinf*z3^2 - 
    19288500*z2*z3^2 + 11119500*ln2*z2*z5 + 16726500*sinf*z2*z5 + 
    110950875*z3*z5 - 45005625*sinf*z7)/4704000, 
 H[1, -1, 0, 0, 1, 0, 1, -1, 1] -> 
  (197568000*li4half^2 + 16464000*li4half*ln2^4 + 343000*ln2^8 - 
    48384000*ln2^2*s6 - 4032000*ln2*s7a + 179424000*ln2*s7b - 106389675*s8a - 
    727272000*s8b - 106848000*s8c - 20160000*s8d - 42336000*ln2*s6*sinf - 
    169344000*s7a*sinf + 112896000*s7b*sinf + 84672000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 3645600*ln2^6*z2 + 209664000*s6*z2 - 
    28224000*li4half*ln2*sinf*z2 - 1176000*ln2^5*sinf*z2 - 
    174787200*li4half*z2^2 + 5065200*ln2^4*z2^2 + 7056000*ln2^3*sinf*z2^2 + 
    106352400*ln2^2*z2^3 + 61202400*ln2*sinf*z2^3 - 10009848*z2^4 - 
    16128000*li5half*z3 + 395136000*li4half*ln2*z3 + 16598400*ln2^5*z3 + 
    28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 - 73668000*ln2^3*z2*z3 + 
    45864000*ln2^2*sinf*z2*z3 - 74592000*ln2*z2^2*z3 - 
    36162000*sinf*z2^2*z3 + 70623000*ln2^2*z3^2 - 90405000*ln2*sinf*z3^2 - 
    567000*z2*z3^2 - 177723000*ln2^3*z5 - 273420000*ln2^2*sinf*z5 - 
    437157000*ln2*z2*z5 - 340452000*sinf*z2*z5 + 289729125*z3*z5 + 
    1069873875*ln2*z7 + 433282500*sinf*z7)/28224000, 
 H[1, -1, 0, 0, 1, 0, 0, 1, 1] -> (-19824000*ln2^2*s6 + 13487775*s8a + 
    116256000*s8b + 11424000*s8c + 16800000*s8d - 11424000*ln2*s6*sinf - 
    16800000*s7a*sinf + 11424000*s7b*sinf - 21840000*s6*z2 + 
    8064000*li4half*z2^2 + 336000*ln2^4*z2^2 + 3074400*ln2^2*z2^3 + 
    1461600*ln2*sinf*z2^3 - 1321036*z2^4 - 24192000*li5half*z3 + 
    201600*ln2^5*z3 - 9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 - 
    2016000*ln2^3*z2*z3 + 2352000*ln2^2*sinf*z2*z3 - 12990600*ln2*z2^2*z3 + 
    772800*sinf*z2^2*z3 + 4347000*ln2^2*z3^2 - 9093000*ln2*sinf*z3^2 - 
    35248500*z2*z3^2 + 18228000*ln2^3*z5 - 88956000*ln2*z2*z5 - 
    60165000*sinf*z2*z5 + 82831875*z3*z5 + 87911250*sinf*z7)/4704000, 
 H[1, -1, 0, 0, 1, 0, 0, 0, 1] -> (99225*s8a + 2352000*s8b - 2016000*s6*z2 + 
    268800*li4half*z2^2 + 11200*ln2^4*z2^2 - 451200*ln2^2*z2^3 - 
    768000*ln2*sinf*z2^3 + 425796*z2^4 + 189000*ln2*z2^2*z3 + 
    88200*sinf*z2^2*z3 + 850500*z2*z3^2 + 2835000*ln2*z2*z5 + 
    945000*sinf*z2*z5 - 4664625*z3*z5 - 1044750*sinf*z7)/336000, 
 H[1, -1, 0, 0, 1, 0, 0, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    2880000*ln2^2*s6 + 3168000*ln2*s7a - 8928000*ln2*s7b + 1105650*s8a + 
    21168000*s8b + 1728000*ln2*s6*sinf + 10368000*s7a*sinf - 
    13824000*s7b*sinf + 2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 
    3528000*s6*z2 + 4435200*li4half*z2^2 - 67200*ln2^4*z2^2 - 
    4251600*ln2^2*z2^3 - 5580000*ln2*sinf*z2^3 + 1965864*z2^4 + 
    3024000*li5half*z3 - 7056000*li4half*ln2*z3 - 319200*ln2^5*z3 - 
    3024000*li4half*sinf*z3 - 126000*ln2^4*sinf*z3 + 2016000*ln2^3*z2*z3 + 
    756000*ln2^2*sinf*z2*z3 + 5364000*ln2*z2^2*z3 + 4881600*sinf*z2^2*z3 + 
    1408500*ln2^2*z3^2 + 7857000*ln2*sinf*z3^2 + 3039750*z2*z3^2 + 
    11718000*ln2^3*z5 + 23436000*ln2^2*sinf*z5 + 26604000*ln2*z2*z5 + 
    41710500*sinf*z2*z5 - 22782375*z3*z5 - 68955750*ln2*z7 - 
    64626750*sinf*z7)/2016000, H[1, -1, 0, 0, 1, 0, -1, 1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 + 
    12096000*ln2^2*s6 - 17014200*s8a + 131964000*s8b - 35952000*s8c + 
    59472000*s8d + 13104000*ln2*s6*sinf - 17808000*s7a*sinf - 
    8400000*s7b*sinf - 14112000*li5half*ln2*z2 - 11760000*li4half*ln2^2*z2 - 
    372400*ln2^6*z2 - 124824000*s6*z2 + 32928000*li4half*ln2*sinf*z2 + 
    1372000*ln2^5*sinf*z2 - 3864000*li4half*z2^2 - 1043000*ln2^4*z2^2 - 
    8232000*ln2^3*sinf*z2^2 - 5269600*ln2^2*z2^3 - 14058800*ln2*sinf*z2^3 - 
    14528912*z2^4 - 103656000*li5half*z3 + 863800*ln2^5*z3 - 
    27048000*li4half*sinf*z3 - 1127000*ln2^4*sinf*z3 - 700000*ln2^3*z2*z3 + 
    22638000*ln2^2*sinf*z2*z3 - 14191800*ln2*z2^2*z3 + 
    13616400*sinf*z2^2*z3 + 21556500*ln2^2*z3^2 - 19173000*ln2*sinf*z3^2 + 
    17850000*z2*z3^2 + 15190000*ln2^3*z5 + 13671000*ln2^2*sinf*z5 + 
    99771000*ln2*z2*z5 + 1596000*sinf*z2*z5 + 79558500*z3*z5 - 
    25060875*sinf*z7)/4704000, H[1, -1, 0, 0, 1, 0, -1, 0, 1] -> 
  (-6048000*ln2^2*s6 + 7356825*s8a - 15120000*s8b + 12096000*s8c - 
    12096000*s8d - 12096000*ln2*s6*sinf + 12096000*s7a*sinf + 
    12096000*s7b*sinf - 2856000*s6*z2 - 6417600*li4half*z2^2 - 
    267400*ln2^4*z2^2 + 1260000*ln2^2*z2^3 + 2032800*ln2*sinf*z2^3 + 
    3001232*z2^4 + 10080000*li5half*z3 - 84000*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 840000*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 - 4032000*ln2*z2^2*z3 - 9034200*sinf*z2^2*z3 - 
    5670000*ln2^2*z3^2 + 7182000*ln2*sinf*z3^2 + 7208250*z2*z3^2 + 
    27436500*ln2*z2*z5 - 14290500*sinf*z2*z5 - 34266750*z3*z5 + 
    41173125*sinf*z7)/4704000, H[1, -1, 0, 0, 1, 0, -1, -1, 1] -> 
  (-477120*ln2^2*s6 + 1223040*ln2*s7a + 188160*ln2*s7b - 145110*s8a + 
    3252480*s8b - 268800*s8c + 645120*s8d - 26880*ln2*s6*sinf + 
    967680*s7a*sinf - 443520*s7b*sinf - 1948800*s6*z2 + 157248*li4half*z2^2 + 
    6552*ln2^4*z2^2 + 17752*ln2^2*z2^3 - 193312*ln2*sinf*z2^3 + 119636*z2^4 - 
    1243200*li5half*z3 + 10360*ln2^5*z3 - 47040*li4half*sinf*z3 - 
    1960*ln2^4*sinf*z3 - 103600*ln2^3*z2*z3 + 11760*ln2^2*sinf*z2*z3 - 
    381780*ln2*z2^2*z3 + 158676*sinf*z2^2*z3 + 518490*ln2^2*z3^2 + 
    309960*ln2*sinf*z3^2 + 661710*z2*z3^2 + 698740*ln2^3*z5 + 
    911400*ln2^2*sinf*z5 + 741720*ln2*z2*z5 + 1346940*sinf*z2*z5 - 
    1386105*z3*z5 - 257985*ln2*z7 - 1552740*sinf*z7)/188160, 
 H[1, -1, 0, 0, 1, -1, 1, 1, 1] -> (423360000*li4half^2 + 564480000*li8half - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 82600*ln2^8 - 547344000*ln2^2*s6 + 
    1355908050*s8a + 7377552000*s8b + 995904000*s8c + 796320000*s8d + 
    225792000*li7half*sinf - 338688000*li6half*ln2*sinf - 
    56448000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    828800*ln2^7*sinf + 34272000*ln2*s6*sinf - 133056000*s7a*sinf + 
    276192000*s7b*sinf + 169344000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 3096800*ln2^6*z2 - 2439360000*s6*z2 + 
    56448000*li5half*sinf*z2 + 225792000*li4half*ln2*sinf*z2 + 
    16934400*ln2^5*sinf*z2 + 36489600*li4half*z2^2 - 47401200*ln2^4*z2^2 - 
    43276800*ln2^3*sinf*z2^2 + 277149600*ln2^2*z2^3 + 
    100548000*ln2*sinf*z2^3 - 36638712*z2^4 - 1691424000*li5half*z3 + 
    14095200*ln2^5*z3 - 204624000*li4half*sinf*z3 - 8526000*ln2^4*sinf*z3 - 
    72156000*ln2^3*z2*z3 + 51156000*ln2^2*sinf*z2*z3 - 
    1278295200*ln2*z2^2*z3 - 39009600*sinf*z2^2*z3 - 147546000*ln2^2*z3^2 - 
    181314000*ln2*sinf*z3^2 - 837774000*z2*z3^2 - 127596000*ln2^3*z5 - 
    519498000*ln2^2*sinf*z5 - 2604924000*ln2*z2*z5 - 701064000*sinf*z2*z5 + 
    1606736250*z3*z5 + 967593375*sinf*z7)/56448000, 
 H[1, -1, 0, 0, 1, -1, 1, 0, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 + 
    47208000*ln2^2*s6 - 114758700*s8a - 600222000*s8b - 82656000*s8c - 
    72576000*s8d - 7728000*ln2*s6*sinf + 19488000*s7a*sinf - 
    32256000*s7b*sinf - 14112000*li6half*z2 + 2352000*li5half*ln2*z2 - 
    1176000*li4half*ln2^2*z2 - 88200*ln2^6*z2 + 218652000*s6*z2 - 
    2352000*li4half*ln2*sinf*z2 - 98000*ln2^5*sinf*z2 - 
    12751200*li4half*z2^2 + 3339700*ln2^4*z2^2 + 5880000*ln2^3*sinf*z2^2 - 
    29166200*ln2^2*z2^3 - 8524600*ln2*sinf*z2^3 + 7241623*z2^4 + 
    140448000*li5half*z3 - 1170400*ln2^5*z3 + 4704000*li4half*sinf*z3 + 
    196000*ln2^4*sinf*z3 + 11704000*ln2^3*z2*z3 - 1176000*ln2^2*sinf*z2*z3 + 
    94245900*ln2*z2^2*z3 + 8391600*sinf*z2^2*z3 + 10741500*ln2^2*z3^2 + 
    22596000*ln2*sinf*z3^2 + 88893000*z2*z3^2 + 50127000*ln2^2*sinf*z5 + 
    235656750*ln2*z2*z5 + 94164000*sinf*z2*z5 - 217562625*z3*z5 - 
    156620625*sinf*z7)/2352000, H[1, -1, 0, 0, 1, -1, 1, -1, 1] -> 
  (-564480000*li8half + 225792000*li7half*ln2 + 169344000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 921200*ln2^8 + 
    700560000*ln2^2*s6 + 157248000*ln2*s7a + 143136000*ln2*s7b - 
    1784956950*s8a - 8908704000*s8b - 1475712000*s8c - 768096000*s8d + 
    338688000*li6half*ln2*sinf + 18816000*li4half*ln2^3*sinf + 
    1254400*ln2^7*sinf + 62496000*ln2*s6*sinf + 177408000*s7a*sinf - 
    387072000*s7b*sinf - 169344000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 11524800*ln2^6*z2 + 2538144000*s6*z2 - 
    56448000*li4half*ln2*sinf*z2 - 14112000*ln2^5*sinf*z2 - 
    179020800*li4half*z2^2 + 72038400*ln2^4*z2^2 + 11760000*ln2^3*sinf*z2^2 - 
    311421600*ln2^2*z2^3 - 152510400*ln2*sinf*z2^3 - 8676432*z2^4 + 
    1507968000*li5half*z3 + 225792000*li4half*ln2*z3 - 3158400*ln2^5*z3 + 
    28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 + 19824000*ln2^3*z2*z3 + 
    77616000*ln2^2*sinf*z2*z3 + 1253725200*ln2*z2^2*z3 + 
    110224800*sinf*z2^2*z3 + 382032000*ln2^2*z3^2 + 177660000*ln2*sinf*z3^2 + 
    1493982000*z2*z3^2 + 59241000*ln2^3*z5 + 546840000*ln2^2*sinf*z5 + 
    3870405000*ln2*z2*z5 + 1154664000*sinf*z2*z5 - 2510565750*z3*z5 + 
    867801375*ln2*z7 - 1953756000*sinf*z7)/56448000, 
 H[1, -1, 0, 0, 1, -1, 0, 1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    10248000*ln2^2*s6 - 50135400*s8a - 240156000*s8b - 39312000*s8c - 
    21840000*s8d - 31920000*ln2*s6*sinf + 13104000*s7a*sinf - 
    19824000*s7b*sinf + 28224000*li6half*z2 + 9408000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 254800*ln2^6*z2 + 103656000*s6*z2 - 
    28224000*li4half*ln2*sinf*z2 - 1176000*ln2^5*sinf*z2 + 
    16094400*li4half*z2^2 + 1748600*ln2^4*z2^2 + 7056000*ln2^3*sinf*z2^2 - 
    9192400*ln2^2*z2^3 + 389200*ln2*sinf*z2^3 - 9008504*z2^4 + 
    37800000*li5half*z3 - 315000*ln2^5*z3 + 17640000*li4half*sinf*z3 + 
    735000*ln2^4*sinf*z3 + 3150000*ln2^3*z2*z3 - 4410000*ln2^2*sinf*z2*z3 + 
    45297000*ln2*z2^2*z3 + 672000*sinf*z2^2*z3 + 11040750*ln2^2*z3^2 + 
    27405000*ln2*sinf*z3^2 + 6441750*z2*z3^2 + 15190000*ln2^3*z5 + 
    54684000*ln2^2*sinf*z5 + 49581000*ln2*z2*z5 + 38682000*sinf*z2*z5 + 
    5352375*z3*z5 - 65142000*sinf*z7)/4704000, 
 H[1, -1, 0, 0, 1, -1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    187488000*ln2^2*s6 + 385928550*s8a + 1937376000*s8b + 290304000*s8c + 
    217728000*s8d + 60480000*ln2*s6*sinf - 145152000*s7a*sinf + 
    193536000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    731808000*s6*z2 + 37900800*li4half*z2^2 + 3343200*ln2^4*z2^2 + 
    72777600*ln2^2*z2^3 + 47930400*ln2*sinf*z2^3 - 8661672*z2^4 - 
    414288000*li5half*z3 + 3452400*ln2^5*z3 - 21168000*li4half*sinf*z3 - 
    882000*ln2^4*sinf*z3 - 34524000*ln2^3*z2*z3 + 5292000*ln2^2*sinf*z2*z3 - 
    268493400*ln2*z2^2*z3 - 49291200*sinf*z2^2*z3 - 26932500*ln2^2*z3^2 - 
    153657000*ln2*sinf*z3^2 - 277924500*z2*z3^2 - 328104000*ln2^2*sinf*z5 - 
    778963500*ln2*z2*z5 - 548446500*sinf*z2*z5 + 617738625*z3*z5 + 
    889339500*sinf*z7)/14112000, H[1, -1, 0, 0, 1, -1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    55440000*ln2^2*s6 - 41328000*ln2*s7a + 1008000*ln2*s7b + 106088850*s8a + 
    294336000*s8b + 137088000*s8c - 52416000*s8d + 8064000*ln2*s6*sinf - 
    64512000*s7a*sinf + 76608000*s7b*sinf + 42336000*li6half*z2 + 
    14112000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 
    120708000*s6*z2 + 14112000*li4half*ln2*sinf*z2 + 588000*ln2^5*sinf*z2 - 
    52819200*li4half*z2^2 - 142800*ln2^4*z2^2 - 3528000*ln2^3*sinf*z2^2 + 
    27652800*ln2^2*z2^3 + 22772400*ln2*sinf*z2^3 + 47510196*z2^4 + 
    97776000*li5half*z3 + 74088000*li4half*ln2*z3 + 2272200*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 10374000*ln2^3*z2*z3 + 
    1764000*ln2^2*sinf*z2*z3 - 61185600*ln2*z2^2*z3 - 20613600*sinf*z2^2*z3 - 
    57046500*ln2^2*z3^2 - 52857000*ln2*sinf*z3^2 - 134127000*z2*z3^2 - 
    41013000*ln2^3*z5 - 136710000*ln2^2*sinf*z5 - 449725500*ln2*z2*z5 - 
    226138500*sinf*z2*z5 - 18057375*z3*z5 - 125645625*ln2*z7 + 
    352319625*sinf*z7)/14112000, H[1, -1, 0, 0, 1, -1, -1, 1, 1] -> 
  (12096000*li4half^2 + 80640000*li8half - 36288000*li6half*ln2^2 - 
    6720000*li5half*ln2^3 + 3024000*li4half*ln2^4 + 112600*ln2^8 - 
    15624000*ln2^2*s6 - 8282925*s8a + 96768000*s8b - 20160000*s8c + 
    30240000*s8d + 64512000*li7half*sinf - 24192000*li6half*ln2*sinf - 
    8064000*li5half*ln2^2*sinf + 2688000*li4half*ln2^3*sinf + 
    132800*ln2^7*sinf - 30096000*ln2*s6*sinf + 12960000*s7a*sinf - 
    39456000*s7b*sinf + 36288000*li6half*z2 + 16128000*li5half*ln2*z2 - 
    6048000*li4half*ln2^2*z2 - 700000*ln2^6*z2 - 39816000*s6*z2 + 
    8064000*li5half*sinf*z2 + 8064000*li4half*ln2*sinf*z2 - 
    302400*ln2^5*sinf*z2 + 2217600*li4half*z2^2 + 3628800*ln2^4*z2^2 + 
    3040800*ln2^3*sinf*z2^2 - 946800*ln2^2*z2^3 - 7200*ln2*sinf*z2^3 - 
    18507888*z2^4 - 87696000*li5half*z3 + 730800*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 2394000*ln2^3*z2*z3 + 
    11592000*ln2^2*sinf*z2*z3 - 10621800*ln2*z2^2*z3 + 
    15627600*sinf*z2^2*z3 + 22711500*ln2^2*z3^2 + 25902000*ln2*sinf*z3^2 - 
    9481500*z2*z3^2 + 20181000*ln2^3*z5 + 76167000*ln2^2*sinf*z5 + 
    9702000*ln2*z2*z5 + 92151000*sinf*z2*z5 + 82175625*z3*z5 - 
    239460750*sinf*z7)/4032000, H[1, -1, 0, 0, 1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    162792000*ln2^2*s6 + 385928550*s8a + 1937376000*s8b + 290304000*s8c + 
    217728000*s8d + 18144000*ln2*s6*sinf - 53424000*s7a*sinf + 
    130032000*s7b*sinf - 169344000*li6half*z2 - 14112000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 - 841176000*s6*z2 + 
    28224000*li4half*ln2*sinf*z2 + 1176000*ln2^5*sinf*z2 + 
    4032000*li4half*z2^2 - 16002000*ln2^4*z2^2 - 22932000*ln2^3*sinf*z2^2 + 
    124698000*ln2^2*z2^3 + 29526000*ln2*sinf*z2^3 + 12620568*z2^4 - 
    431928000*li5half*z3 + 3599400*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    294000*ln2^4*sinf*z3 - 35994000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 - 
    320972400*ln2*z2^2*z3 - 37869300*sinf*z2^2*z3 - 46005750*ln2^2*z3^2 - 
    77143500*ln2*sinf*z3^2 - 214200000*z2*z3^2 - 177723000*ln2^2*sinf*z5 - 
    694512000*ln2*z2*z5 - 340294500*sinf*z2*z5 + 599382000*z3*z5 + 
    582679125*sinf*z7)/14112000, H[1, -1, 0, 0, 1, -1, -1, -1, 1] -> 
  (9031680*li4half^2 + 45158400*li8half + 45158400*li7half*ln2 + 
    20321280*li6half*ln2^2 + 2257920*li5half*ln2^3 - 376320*li4half*ln2^4 - 
    29792*ln2^8 - 18668160*ln2^2*s6 + 16611840*ln2*s7a - 8789760*ln2*s7b + 
    36400770*s8a + 216558720*s8b + 29514240*s8c + 19031040*s8d + 
    9031680*li7half*sinf + 13547520*li6half*ln2*sinf + 
    2257920*li5half*ln2^2*sinf - 1505280*li4half*ln2^3*sinf - 
    64512*ln2^7*sinf + 6693120*ln2*s6*sinf - 483840*s7a*sinf + 
    6854400*s7b*sinf - 6773760*li6half*z2 - 2257920*li5half*ln2*z2 - 
    564480*li4half*ln2^2*z2 + 189728*ln2^6*z2 - 65439360*s6*z2 + 
    3386880*li4half*ln2*sinf*z2 + 460992*ln2^5*sinf*z2 - 
    2741760*li4half*z2^2 - 1699488*ln2^4*z2^2 - 2050944*ln2^3*sinf*z2^2 + 
    8813952*ln2^2*z2^3 + 1215648*ln2*sinf*z2^3 + 2326032*z2^4 - 
    37497600*li5half*z3 + 8749440*li4half*ln2*z3 + 677040*ln2^5*z3 - 
    1693440*li4half*sinf*z3 - 70560*ln2^4*sinf*z3 - 4394880*ln2^3*z2*z3 + 
    423360*ln2^2*sinf*z2*z3 - 30701664*ln2*z2^2*z3 - 1307376*sinf*z2^2*z3 + 
    4883760*ln2^2*z3^2 - 7237440*ln2*sinf*z3^2 - 26122320*z2*z3^2 + 
    19139400*ln2^3*z5 - 12577320*ln2^2*sinf*z5 - 56460600*ln2*z2*z5 - 
    20364120*sinf*z2*z5 + 31722390*z3*z5 - 98490105*ln2*z7 + 
    27272385*sinf*z7)/2257920, H[1, -1, 0, 0, 0, 1, 1, 1, 1] -> 
  (-504000*ln2^2*s6 - 88725*s8a + 1848000*s8b + 1008000*s8d - 
    1008000*s7a*sinf - 2016000*s6*z2 - 336000*li4half*z2^2 - 
    14000*ln2^4*z2^2 + 396000*ln2^2*z2^3 + 220800*ln2*sinf*z2^3 - 
    43116*z2^4 - 2016000*li5half*z3 + 16800*ln2^5*z3 - 168000*ln2^3*z2*z3 + 
    655200*ln2*z2^2*z3 + 470400*sinf*z2^2*z3 + 294000*ln2^2*z3^2 - 
    672000*ln2*sinf*z3^2 - 1638000*z2*z3^2 + 651000*ln2^3*z5 - 
    1953000*ln2*z2*z5 - 1008000*sinf*z2*z5 + 5084625*z3*z5 - 771750*sinf*z7)/
   672000, H[1, -1, 0, 0, 0, 1, 1, 0, 1] -> 
  (-2688000*ln2^2*s6 + 7036575*s8a + 19152000*s8b + 5376000*s8c - 
    5376000*s8d - 5376000*ln2*s6*sinf + 5376000*s7a*sinf + 5376000*s7b*sinf + 
    3696000*s6*z2 + 3628800*li4half*z2^2 + 151200*ln2^4*z2^2 - 
    1937600*ln2^2*z2^3 - 851200*ln2*sinf*z2^3 + 548512*z2^4 + 
    10752000*li5half*z3 - 89600*ln2^5*z3 + 896000*ln2^3*z2*z3 - 
    3242400*ln2*z2^2*z3 - 4368000*sinf*z2^2*z3 - 2520000*ln2^2*z3^2 + 
    3192000*ln2*sinf*z3^2 - 2268000*z2*z3^2 - 9733500*ln2*z2*z5 - 
    13660500*sinf*z2*z5 - 13555500*z3*z5 + 39642750*sinf*z7)/4704000, 
 H[1, -1, 0, 0, 0, 1, 1, -1, 1] -> 
  (-70560000*li4half^2 - 5880000*li4half*ln2^4 - 122500*ln2^8 + 
    83664000*ln2^2*s6 - 23184000*ln2*s7a - 37296000*ln2*s7b - 152474175*s8a - 
    861336000*s8b - 85680000*s8c - 147168000*s8d - 19152000*ln2*s6*sinf + 
    54432000*s7a*sinf - 37296000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 + 393120000*s6*z2 - 14112000*li4half*ln2*sinf*z2 - 
    588000*ln2^5*sinf*z2 + 25603200*li4half*z2^2 + 6358800*ln2^4*z2^2 + 
    8820000*ln2^3*sinf*z2^2 - 70182000*ln2^2*z2^3 - 13431600*ln2*sinf*z2^3 + 
    19354662*z2^4 + 294336000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    6568800*ln2^5*z3 + 7056000*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 + 
    38640000*ln2^3*z2*z3 - 14994000*ln2^2*sinf*z2*z3 + 
    175801500*ln2*z2^2*z3 + 6092100*sinf*z2^2*z3 - 27294750*ln2^2*z3^2 + 
    47313000*ln2*sinf*z3^2 + 122031000*z2*z3^2 + 13671000*ln2^3*z5 + 
    88861500*ln2^2*sinf*z5 + 367038000*ln2*z2*z5 + 112423500*sinf*z2*z5 - 
    462396375*z3*z5 - 177967125*ln2*z7 - 146876625*sinf*z7)/14112000, 
 H[1, -1, 0, 0, 0, 1, 0, 1, 1] -> (12096000*ln2^2*s6 - 15500100*s8a - 
    65016000*s8b - 5376000*s8c - 13440000*s8d + 5376000*ln2*s6*sinf + 
    13440000*s7a*sinf - 5376000*s7b*sinf + 15120000*s6*z2 - 
    5510400*li4half*z2^2 - 229600*ln2^4*z2^2 - 2968000*ln2^2*z2^3 - 
    2374400*ln2*sinf*z2^3 + 7372044*z2^4 + 26880000*li5half*z3 - 
    224000*ln2^5*z3 + 2240000*ln2^3*z2*z3 + 6888000*ln2*z2^2*z3 + 
    1192800*sinf*z2^2*z3 - 4536000*ln2^2*z3^2 + 6216000*ln2*sinf*z3^2 + 
    33432000*z2*z3^2 - 12152000*ln2^3*z5 + 52584000*ln2*z2*z5 + 
    25935000*sinf*z2*z5 - 110880000*z3*z5 - 32017125*sinf*z7)/4704000, 
 H[1, -1, 0, 0, 0, 1, 0, 0, 1] -> (-39900*s8a - 3528000*s8b + 1344000*s6*z2 - 
    806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 585600*ln2^2*z2^3 + 
    768000*ln2*sinf*z2^3 - 428464*z2^4 + 302400*sinf*z2^2*z3 - 
    252000*z2*z3^2 - 1890000*ln2*z2*z5 - 630000*sinf*z2*z5 + 4536000*z3*z5 - 
    952875*sinf*z7)/336000, H[1, -1, 0, 0, 0, 1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 4032000*ln2*s7a + 60480000*ln2*s7b + 1557675*s8a - 
    29232000*s8b + 12096000*s8c - 12096000*s8d - 20160000*ln2*s6*sinf - 
    36288000*s7a*sinf + 76608000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 34776000*s6*z2 - 52516800*li4half*z2^2 + 
    1339800*ln2^4*z2^2 + 30828000*ln2^2*z2^3 + 28240800*ln2*sinf*z2^3 + 
    15823188*z2^4 + 24192000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    3914400*ln2^5*z3 - 22680000*ln2^3*z2*z3 - 41882400*ln2*z2^2*z3 - 
    16468200*sinf*z2^2*z3 + 693000*ln2^2*z3^2 - 50652000*ln2*sinf*z3^2 - 
    15246000*z2*z3^2 - 54684000*ln2^3*z5 - 109368000*ln2^2*sinf*z5 - 
    215712000*ln2*z2*z5 - 241573500*sinf*z2*z5 - 2220750*z3*z5 + 
    285043500*ln2*z7 + 381094875*sinf*z7)/14112000, 
 H[1, -1, 0, 0, 0, 1, -1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    66864000*ln2^2*s6 + 152917275*s8a + 728364000*s8b + 126672000*s8c + 
    66192000*s8d + 11424000*ln2*s6*sinf - 11424000*s7a*sinf + 
    37968000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 - 
    225288000*s6*z2 + 5006400*li4half*z2^2 - 4201400*ln2^4*z2^2 - 
    3528000*ln2^3*sinf*z2^2 + 37396800*ln2^2*z2^3 + 11298000*ln2*sinf*z2^3 + 
    6861264*z2^4 - 132384000*li5half*z3 + 1103200*ln2^5*z3 - 
    13678000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 - 
    123799200*ln2*z2^2*z3 - 13385400*sinf*z2^2*z3 - 22370250*ln2^2*z3^2 - 
    17808000*ln2*sinf*z3^2 - 117164250*z2*z3^2 - 7595000*ln2^3*z5 - 
    59241000*ln2^2*sinf*z5 - 357231000*ln2*z2*z5 - 101682000*sinf*z2*z5 + 
    215058375*z3*z5 + 183395625*sinf*z7)/4704000, 
 H[1, -1, 0, 0, 0, 1, -1, 0, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 + 
    5241600*ln2^2*s6 - 10137645*s8a - 52093440*s8b - 8225280*s8c - 
    5322240*s8d - 645120*ln2*s6*sinf + 2903040*s7a*sinf - 6128640*s7b*sinf + 
    1128960*li4half*ln2^2*z2 + 47040*ln2^6*z2 + 18123840*s6*z2 - 
    133056*li4half*z2^2 - 146664*ln2^4*z2^2 - 1511328*ln2^2*z2^3 - 
    1141728*ln2*sinf*z2^3 - 460632*z2^4 + 10644480*li5half*z3 - 
    88704*ln2^5*z3 + 887040*ln2^3*z2*z3 + 7109424*ln2*z2^2*z3 + 
    2100672*sinf*z2^2*z3 + 945000*ln2^2*z3^2 + 3205440*ln2*sinf*z3^2 + 
    7950600*z2*z3^2 + 8749440*ln2^2*sinf*z5 + 22267980*ln2*z2*z5 + 
    17482500*sinf*z2*z5 - 14392350*z3*z5 - 30950640*sinf*z7)/564480, 
 H[1, -1, 0, 0, 0, 1, -1, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    24091200*ln2^2*s6 - 50688225*s8a - 260467200*s8b - 41126400*s8c - 
    26611200*s8d - 4838400*ln2*s6*sinf + 7660800*s7a*sinf - 
    10684800*s7b*sinf - 2822400*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 
    85680000*s6*z2 - 2822400*li4half*ln2*sinf*z2 - 117600*ln2^5*sinf*z2 - 
    1794240*li4half*z2^2 + 1512840*ln2^4*z2^2 + 1764000*ln2^3*sinf*z2^2 - 
    13431600*ln2^2*z2^3 - 2484720*ln2*sinf*z2^3 - 1514232*z2^4 + 
    53222400*li5half*z3 - 443520*ln2^5*z3 + 1411200*li4half*sinf*z3 + 
    58800*ln2^4*sinf*z3 + 4435200*ln2^3*z2*z3 + 1234800*ln2^2*sinf*z2*z3 + 
    42691320*ln2*z2^2*z3 + 3221820*sinf*z2^2*z3 + 6136200*ln2^2*z3^2 + 
    6930000*ln2*sinf*z3^2 + 40877550*z2*z3^2 + 17772300*ln2^2*sinf*z5 + 
    123379200*ln2*z2*z5 + 31959900*sinf*z2*z5 - 85004325*z3*z5 - 
    53028675*sinf*z7)/2822400, H[1, -1, 0, 0, 0, 0, 1, 1, 1] -> 
  (-168000*ln2^2*s6 + 158025*s8a + 1176000*s8b + 336000*s8d - 
    336000*s7a*sinf - 672000*s6*z2 + 96000*ln2^2*z2^3 + 57600*ln2*sinf*z2^3 - 
    218916*z2^4 - 672000*li5half*z3 + 5600*ln2^5*z3 - 56000*ln2^3*z2*z3 - 
    33600*ln2*z2^2*z3 + 75600*sinf*z2^2*z3 + 126000*ln2^2*z3^2 - 
    168000*ln2*sinf*z3^2 - 756000*z2*z3^2 + 217000*ln2^3*z5 - 
    651000*ln2*z2*z5 - 336000*sinf*z2*z5 + 3063375*z3*z5)/336000, 
 H[1, -1, 0, 0, 0, 0, 1, 0, 1] -> (120925*s8a + 784000*s8b - 112000*s6*z2 + 
    268800*li4half*z2^2 + 11200*ln2^4*z2^2 - 131200*ln2^2*z2^3 - 
    128000*ln2*sinf*z2^3 + 55288*z2^4 - 100800*sinf*z2^2*z3 + 
    157500*ln2*z2*z5 + 52500*sinf*z2*z5 - 938000*z3*z5 + 435750*sinf*z7)/
   112000, H[1, -1, 0, 0, 0, 0, 1, -1, 1] -> 
  (1008000*ln2^2*s6 - 336000*ln2*s7a - 866775*s8a - 3192000*s8b - 
    1008000*s8c + 336000*ln2*s6*sinf + 336000*s6*z2 + 319200*li4half*z2^2 + 
    13300*ln2^4*z2^2 - 700800*ln2^2*z2^3 - 192000*ln2*sinf*z2^3 - 
    187824*z2^4 - 1176000*li4half*ln2*z3 - 49000*ln2^5*z3 + 
    294000*ln2^3*z2*z3 + 1064700*ln2*z2^2*z3 - 151200*sinf*z2^2*z3 - 
    183750*ln2^2*z3^2 + 189000*ln2*sinf*z3^2 + 1008000*z2*z3^2 - 
    325500*ln2^3*z5 + 4446750*ln2*z2*z5 - 1666875*z3*z5 - 1672125*ln2*z7 + 
    661500*sinf*z7)/336000, H[1, -1, 0, 0, 0, 0, 0, 1, 1] -> 
  (-151200*s8a - 1176000*s8b + 336000*s6*z2 - 268800*li4half*z2^2 - 
    11200*ln2^4*z2^2 + 105600*ln2^2*z2^3 + 76800*ln2*sinf*z2^3 - 5292*z2^4 + 
    100800*sinf*z2^2*z3 + 315000*sinf*z2*z5 + 672000*z3*z5 - 989625*sinf*z7)/
   336000, H[1, -1, 0, 0, 0, 0, 0, 0, 1] -> 
  (11200*s8b - 1536*z2^4 + 11025*sinf*z7)/11200, 
 H[1, -1, 0, 0, 0, 0, 0, -1, 1] -> 
  (-170100*s8a - 2016000*s8b + 168000*s6*z2 - 235200*li4half*z2^2 - 
    9800*ln2^4*z2^2 + 96000*ln2^2*z2^3 + 74400*ln2*sinf*z2^3 - 228096*z2^4 + 
    88200*sinf*z2^2*z3 + 157500*sinf*z2*z5 + 1559250*z3*z5 + 2333625*ln2*z7 - 
    677250*sinf*z7)/336000, H[1, -1, 0, 0, 0, 0, -1, 1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 - 201600*ln2^2*s6 - 
    806400*s7b*sinf + 403200*li4half*ln2^2*z2 + 16800*ln2^6*z2 + 
    201600*s6*z2 + 161280*li4half*z2^2 - 43680*ln2^4*z2^2 + 
    459360*ln2^2*z2^3 + 21600*ln2*sinf*z2^3 - 54144*z2^4 - 
    37800*ln2*z2^2*z3 + 443520*sinf*z2^2*z3 + 113400*ln2*sinf*z3^2 - 
    491400*z2*z3^2 + 781200*ln2^2*sinf*z5 - 1719900*ln2*z2*z5 + 
    2394000*sinf*z2*z5 + 1863225*z3*z5 - 5219550*sinf*z7)/403200, 
 H[1, -1, 0, 0, 0, 0, -1, 0, 1] -> (45675*s8a + 896000*s8b - 56000*s6*z2 + 
    235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 120800*ln2^2*z2^3 - 
    124000*ln2*sinf*z2^3 + 103898*z2^4 - 88200*sinf*z2^2*z3 - 47250*z2*z3^2 - 
    157500*ln2*z2*z5 - 52500*sinf*z2*z5 - 918750*z3*z5 + 564375*sinf*z7)/
   112000, H[1, -1, 0, 0, 0, 0, -1, -1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 - 201600*ln2^2*s6 - 
    1209600*ln2*s7b + 1058400*s8a + 6249600*s8b + 806400*s8c + 806400*s8d - 
    403200*s7b*sinf + 403200*li4half*ln2^2*z2 + 16800*ln2^6*z2 - 
    2419200*s6*z2 + 766080*li4half*z2^2 - 18480*ln2^4*z2^2 - 
    167040*ln2^2*z2^3 - 203040*ln2*sinf*z2^3 - 163692*z2^4 - 
    1612800*li5half*z3 - 1411200*li4half*ln2*z3 - 45360*ln2^5*z3 + 
    218400*ln2^3*z2*z3 - 357840*ln2*z2^2*z3 + 65520*sinf*z2^2*z3 + 
    151200*ln2^2*z3^2 + 415800*ln2*sinf*z3^2 - 800100*z2*z3^2 + 
    1432200*ln2^3*z5 + 781200*ln2^2*sinf*z5 + 781200*ln2*z2*z5 + 
    1197000*sinf*z2*z5 + 2244375*z3*z5 - 5219550*ln2*z7 - 2000250*sinf*z7)/
   403200, H[1, -1, 0, 0, 0, -1, 1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    31920000*ln2^2*s6 - 93719325*s8a - 445872000*s8b - 68544000*s8c - 
    44352000*s8d - 12096000*ln2*s6*sinf + 7392000*s7a*sinf - 
    25536000*s7b*sinf + 2352000*li4half*ln2^2*z2 + 98000*ln2^6*z2 + 
    147504000*s6*z2 - 9408000*li4half*ln2*sinf*z2 - 392000*ln2^5*sinf*z2 + 
    3124800*li4half*z2^2 + 2188200*ln2^4*z2^2 + 4116000*ln2^3*sinf*z2^2 - 
    18874800*ln2^2*z2^3 - 3343200*ln2*sinf*z2^3 - 1557972*z2^4 + 
    88704000*li5half*z3 - 739200*ln2^5*z3 + 5880000*li4half*sinf*z3 + 
    245000*ln2^4*sinf*z3 + 7392000*ln2^3*z2*z3 + 1176000*ln2^2*sinf*z2*z3 + 
    83059200*ln2*z2^2*z3 + 9193800*sinf*z2^2*z3 + 11844000*ln2^2*z3^2 + 
    13650000*ln2*sinf*z3^2 + 57508500*z2*z3^2 + 11392500*ln2^3*z5 + 
    43291500*ln2^2*sinf*z5 + 171454500*ln2*z2*z5 + 64648500*sinf*z2*z5 - 
    117033000*z3*z5 - 125341125*sinf*z7)/4704000, 
 H[1, -1, 0, 0, 0, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    131040000*ln2^2*s6 + 281157975*s8a + 1337616000*s8b + 205632000*s8c + 
    133056000*s8d + 16128000*ln2*s6*sinf - 72576000*s7a*sinf + 
    153216000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    463680000*s6*z2 + 17438400*li4half*z2^2 + 4254600*ln2^4*z2^2 + 
    33205200*ln2^2*z2^3 + 26443200*ln2*sinf*z2^3 - 2319924*z2^4 - 
    266112000*li5half*z3 + 2217600*ln2^5*z3 - 22176000*ln2^3*z2*z3 - 
    181704600*ln2*z2^2*z3 - 58867200*sinf*z2^2*z3 - 22302000*ln2^2*z3^2 - 
    77490000*ln2*sinf*z3^2 - 213759000*z2*z3^2 - 218736000*ln2^2*sinf*z5 - 
    540382500*ln2*z2*z5 - 443016000*sinf*z2*z5 + 416311875*z3*z5 + 
    806951250*sinf*z7)/14112000, H[1, -1, 0, 0, 0, -1, 1, -1, 1] -> 
  (-2378880*ln2^2*s6 - 188160*ln2*s7a - 752640*ln2*s7b + 6421905*s8a + 
    31543680*s8b + 5134080*s8c + 2956800*s8d + 483840*ln2*s6*sinf - 
    483840*s7a*sinf + 1021440*s7b*sinf + 564480*li4half*ln2^2*z2 + 
    23520*ln2^6*z2 - 9959040*s6*z2 + 723072*li4half*z2^2 - 
    181552*ln2^4*z2^2 - 141120*ln2^3*sinf*z2^2 + 1267896*ln2^2*z2^3 + 
    286608*ln2*sinf*z2^3 + 98976*z2^4 - 5913600*li5half*z3 - 
    987840*li4half*ln2*z3 + 8120*ln2^5*z3 - 351680*ln2^3*z2*z3 - 
    423360*ln2^2*sinf*z2*z3 - 4508868*ln2*z2^2*z3 - 380688*sinf*z2^2*z3 - 
    886620*ln2^2*z3^2 - 463680*ln2*sinf*z3^2 - 5229420*z2*z3^2 + 
    394940*ln2^3*z5 - 1458240*ln2^2*sinf*z5 - 12718020*ln2*z2*z5 - 
    3047520*sinf*z2*z5 + 10373475*z3*z5 - 5055330*ln2*z7 + 5384085*sinf*z7)/
   188160, H[1, -1, 0, 0, 0, -1, 0, 1, 1] -> 
  (12768000*ln2^2*s6 - 9276225*s8a - 71568000*s8b - 6720000*s8c - 
    12096000*s8d + 6720000*ln2*s6*sinf + 12096000*s7a*sinf - 
    6720000*s7b*sinf + 5376000*s6*z2 - 3124800*li4half*z2^2 - 
    130200*ln2^4*z2^2 - 3357200*ln2^2*z2^3 - 2262400*ln2*sinf*z2^3 + 
    701004*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 + 
    2016000*ln2^3*z2*z3 + 8139600*ln2*z2^2*z3 + 1138200*sinf*z2^2*z3 - 
    3906000*ln2^2*z3^2 + 5418000*ln2*sinf*z3^2 + 34146000*z2*z3^2 - 
    12152000*ln2^3*z5 + 79401000*ln2*z2*z5 + 33558000*sinf*z2*z5 - 
    89244750*z3*z5 - 45115875*sinf*z7)/4704000, 
 H[1, -1, 0, 0, 0, -1, 0, 0, 1] -> 
  (-326025*s8a - 3192000*s8b + 1344000*s6*z2 - 705600*li4half*z2^2 - 
    29400*ln2^4*z2^2 + 548400*ln2^2*z2^3 + 744000*ln2*sinf*z2^3 - 
    374324*z2^4 + 264600*sinf*z2^2*z3 - 315000*z2*z3^2 - 2016000*ln2*z2*z5 - 
    672000*sinf*z2*z5 + 4410000*z3*z5 - 714000*sinf*z7)/336000, 
 H[1, -1, 0, 0, 0, -1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 56448000*ln2*s7b + 9902025*s8a - 116928000*s8b + 
    20160000*s8c - 20160000*s8d - 20160000*ln2*s6*sinf - 36288000*s7a*sinf + 
    76608000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    40320000*s6*z2 - 49896000*li4half*z2^2 + 1449000*ln2^4*z2^2 + 
    29652000*ln2^2*z2^3 + 29013600*ln2*sinf*z2^3 - 2400876*z2^4 + 
    40320000*li5half*z3 + 98784000*li4half*ln2*z3 + 3780000*ln2^5*z3 - 
    21336000*ln2^3*z2*z3 - 35708400*ln2*z2^2*z3 - 17173800*sinf*z2^2*z3 - 
    6804000*ln2^2*z3^2 - 53298000*ln2*sinf*z3^2 - 18648000*z2*z3^2 - 
    54684000*ln2^3*z5 - 109368000*ln2^2*sinf*z5 - 193882500*ln2*z2*z5 - 
    236061000*sinf*z2*z5 + 61952625*z3*z5 + 406932750*ln2*z7 + 
    374259375*sinf*z7)/14112000, H[1, -1, 0, 0, 0, -1, -1, 1, 1] -> 
  (-10080000*li4half^2 - 840000*li4half*ln2^4 - 17500*ln2^8 + 
    10080000*ln2^2*s6 - 23818725*s8a - 157248000*s8b - 12096000*s8c - 
    27216000*s8d - 2448000*ln2*s6*sinf + 5472000*s7a*sinf - 
    2592000*s7b*sinf + 70056000*s6*z2 - 4032000*li4half*ln2*sinf*z2 - 
    168000*ln2^5*sinf*z2 - 705600*li4half*z2^2 + 978600*ln2^4*z2^2 + 
    1764000*ln2^3*sinf*z2^2 - 6501600*ln2^2*z2^3 + 590400*ln2*sinf*z2^3 + 
    4399164*z2^4 + 54432000*li5half*z3 - 453600*ln2^5*z3 + 
    2520000*li4half*sinf*z3 + 105000*ln2^4*sinf*z3 + 3024000*ln2^3*z2*z3 - 
    2520000*ln2^2*sinf*z2*z3 + 23700600*ln2*z2^2*z3 - 212400*sinf*z2^2*z3 - 
    3024000*ln2^2*z3^2 + 4792500*ln2*sinf*z3^2 + 21892500*z2*z3^2 - 
    4882500*ln2^3*z5 + 2929500*ln2^2*sinf*z5 + 46053000*ln2*z2*z5 + 
    12748500*sinf*z2*z5 - 83742750*z3*z5 - 17796375*sinf*z7)/2016000, 
 H[1, -1, 0, 0, 0, -1, -1, 0, 1] -> 
  (2688000*ln2^2*s6 - 2531025*s8a + 4368000*s8b - 5376000*s8c + 5376000*s8d + 
    5376000*ln2*s6*sinf - 5376000*s7a*sinf - 5376000*s7b*sinf + 
    6888000*s6*z2 + 2251200*li4half*z2^2 + 93800*ln2^4*z2^2 + 
    61600*ln2^2*z2^3 + 39200*ln2*sinf*z2^3 - 1478084*z2^4 - 
    10752000*li5half*z3 + 89600*ln2^5*z3 - 896000*ln2^3*z2*z3 + 
    1478400*ln2*z2^2*z3 + 1692600*sinf*z2^2*z3 + 3108000*ln2^2*z3^2 - 
    2016000*ln2*sinf*z3^2 - 11586750*z2*z3^2 - 23047500*ln2*z2*z5 + 
    6531000*sinf*z2*z5 + 40052250*z3*z5 - 18033750*sinf*z7)/4704000, 
 H[1, -1, 0, 0, 0, -1, -1, -1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 1440000*ln2^2*s6 - 
    13536000*ln2*s7a + 2592000*ln2*s7b + 1282050*s8a - 47376000*s8b + 
    4032000*s8c - 10080000*s8d - 576000*ln2*s6*sinf - 9504000*s7a*sinf + 
    6624000*s7b*sinf - 2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 
    28224000*s6*z2 - 5241600*li4half*z2^2 + 33600*ln2^4*z2^2 + 
    1303200*ln2^2*z2^3 + 2858400*ln2*sinf*z2^3 - 440352*z2^4 + 
    20160000*li5half*z3 + 7056000*li4half*ln2*z3 + 126000*ln2^5*z3 - 
    84000*ln2^3*z2*z3 + 3286800*ln2*z2^2*z3 - 1627200*sinf*z2^2*z3 - 
    6840000*ln2^2*z3^2 - 5391000*ln2*sinf*z3^2 - 7591500*z2*z3^2 - 
    9765000*ln2^3*z5 - 11718000*ln2^2*sinf*z5 - 24120000*ln2*z2*z5 - 
    19962000*sinf*z2*z5 + 10851750*z3*z5 + 29404125*ln2*z7 + 
    26065125*sinf*z7)/4032000, H[1, -1, 0, 0, -1, 1, 1, 1, 1] -> 
  (-10080000*li4half^2 - 2688000*li5half*ln2^3 - 1512000*li4half*ln2^4 - 
    23100*ln2^8 + 9072000*ln2^2*s6 - 42151725*s8a - 199584000*s8b - 
    24192000*s8c - 28224000*s8d - 16128000*li7half*sinf - 
    4032000*li5half*ln2^2*sinf - 1344000*li4half*ln2^3*sinf - 
    19200*ln2^7*sinf - 8352000*ln2*s6*sinf + 2304000*s7a*sinf - 
    11808000*s7b*sinf + 8064000*li5half*ln2*z2 + 3024000*li4half*ln2^2*z2 + 
    2800*ln2^6*z2 + 85680000*s6*z2 + 4032000*li5half*sinf*z2 - 
    8064000*li4half*ln2*sinf*z2 - 436800*ln2^5*sinf*z2 + 
    3124800*li4half*z2^2 + 1331400*ln2^4*z2^2 + 1831200*ln2^3*sinf*z2^2 - 
    7880400*ln2^2*z2^3 - 2952000*ln2*sinf*z2^3 + 3526164*z2^4 + 
    42336000*li5half*z3 - 352800*ln2^5*z3 + 504000*li4half*sinf*z3 + 
    21000*ln2^4*sinf*z3 + 1890000*ln2^3*z2*z3 - 126000*ln2^2*sinf*z2*z3 + 
    34435800*ln2*z2^2*z3 + 5373000*sinf*z2^2*z3 + 4992750*ln2^2*z3^2 + 
    6061500*ln2*sinf*z3^2 + 21278250*z2*z3^2 + 10416000*ln2^3*z5 + 
    29295000*ln2^2*sinf*z5 + 41328000*ln2*z2*z5 + 19503000*sinf*z2*z5 - 
    61448625*z3*z5 - 32992875*sinf*z7)/4032000, 
 H[1, -1, 0, 0, -1, 1, 1, 0, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 - 
    15573600*ln2^2*s6 + 37168425*s8a + 193737600*s8b + 26208000*s8c + 
    24595200*s8d - 504000*ln2*s6*sinf - 4435200*s7a*sinf + 
    13910400*s7b*sinf - 8467200*li5half*ln2*z2 - 705600*li4half*ln2^2*z2 + 
    41160*ln2^6*z2 - 75650400*s6*z2 - 2822400*li5half*sinf*z2 - 
    1411200*li4half*ln2*sinf*z2 - 35280*ln2^5*sinf*z2 + 
    6118560*li4half*z2^2 - 891660*ln2^4*z2^2 - 1470000*ln2^3*sinf*z2^2 + 
    8210580*ln2^2*z2^3 + 3145800*ln2*sinf*z2^3 - 2517771*z2^4 - 
    40017600*li5half*z3 - 352800*li4half*ln2*z3 + 318780*ln2^5*z3 + 
    2822400*li4half*sinf*z3 + 117600*ln2^4*sinf*z3 - 3246600*ln2^3*z2*z3 - 
    705600*ln2^2*sinf*z2*z3 - 27488790*ln2*z2^2*z3 - 5595660*sinf*z2^2*z3 - 
    3586275*ln2^2*z3^2 - 5345550*ln2*sinf*z3^2 - 28839825*z2*z3^2 - 
    17772300*ln2^2*sinf*z5 - 66187800*ln2*z2*z5 - 37289700*sinf*z2*z5 + 
    68129775*z3*z5 + 70915950*sinf*z7)/1411200, 
 H[1, -1, 0, 0, -1, 1, 1, -1, 1] -> 
  (-16128000*li4half^2 + 16128000*li7half*ln2 - 672000*li4half*ln2^4 - 
    3200*ln2^8 - 16128000*ln2^2*s6 - 2016000*ln2*s7a - 14112000*ln2*s7b + 
    26976600*s8a + 92736000*s8b + 36288000*s8c - 12096000*s8d + 
    32256000*li7half*sinf + 1344000*li4half*ln2^3*sinf + 49600*ln2^7*sinf - 
    12096000*ln2*s6*sinf + 12096000*s7a*sinf + 4032000*s7b*sinf + 
    2016000*li4half*ln2^2*z2 - 16800*ln2^6*z2 + 12096000*s6*z2 - 
    8064000*li4half*ln2*sinf*z2 - 537600*ln2^5*sinf*z2 + 
    8870400*li4half*z2^2 + 1352400*ln2^4*z2^2 + 2973600*ln2^3*sinf*z2^2 + 
    3106800*ln2^2*z2^3 + 7675200*ln2*sinf*z2^3 + 10014696*z2^4 + 
    24192000*li5half*z3 - 12096000*li4half*ln2*z3 - 705600*ln2^5*z3 + 
    4032000*li4half*sinf*z3 + 168000*ln2^4*sinf*z3 + 126000*ln2^3*z2*z3 - 
    10836000*ln2^2*sinf*z2*z3 - 3704400*ln2*z2^2*z3 - 3326400*sinf*z2^2*z3 - 
    10284750*ln2^2*z3^2 + 9796500*ln2*sinf*z3^2 - 26633250*z2*z3^2 + 
    11718000*ln2^3*z5 + 7812000*ln2^2*sinf*z5 - 67032000*ln2*z2*z5 - 
    11592000*sinf*z2*z5 - 20853000*z3*z5 - 103264875*ln2*z7 + 
    2378250*sinf*z7)/4032000, H[1, -1, 0, 0, -1, 1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    4032000*ln2^2*s6 + 42151725*s8a + 199584000*s8b + 24192000*s8c + 
    28224000*s8d + 28800000*ln2*s6*sinf - 12672000*s7a*sinf + 
    15552000*s7b*sinf - 2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 - 
    90720000*s6*z2 - 16128000*li5half*sinf*z2 + 16128000*li4half*ln2*sinf*
     z2 + 806400*ln2^5*sinf*z2 - 9878400*li4half*z2^2 - 1671600*ln2^4*z2^2 - 
    5376000*ln2^3*sinf*z2^2 + 6412800*ln2^2*z2^3 - 2035200*ln2*sinf*z2^3 - 
    2435304*z2^4 - 24192000*li5half*z3 + 2016000*li4half*ln2*z3 + 
    285600*ln2^5*z3 - 10080000*li4half*sinf*z3 - 420000*ln2^4*sinf*z3 - 
    2520000*ln2^3*z2*z3 + 2520000*ln2^2*sinf*z2*z3 - 27581400*ln2*z2^2*z3 - 
    1170000*sinf*z2^2*z3 - 7371000*ln2^2*z3^2 - 23778000*ln2*sinf*z3^2 - 
    13576500*z2*z3^2 - 13020000*ln2^3*z5 - 46872000*ln2^2*sinf*z5 - 
    33516000*ln2*z2*z5 - 13428000*sinf*z2*z5 + 20561625*z3*z5 + 
    44597250*sinf*z7)/4032000, H[1, -1, 0, 0, -1, 1, 0, 0, 1] -> 
  (3852800*ln2^2*s6 - 8259650*s8a - 43052800*s8b - 5824000*s8c - 
    5465600*s8d - 1344000*ln2*s6*sinf + 3225600*s7a*sinf - 4300800*s7b*sinf + 
    17516800*s6*z2 - 1391040*li4half*z2^2 - 57960*ln2^4*z2^2 - 
    1495760*ln2^2*z2^3 - 1065120*ln2*sinf*z2^3 + 535966*z2^4 + 
    9676800*li5half*z3 + 470400*li4half*ln2*z3 - 61040*ln2^5*z3 + 
    688800*ln2^3*z2*z3 + 5584320*ln2*z2^2*z3 + 1265880*sinf*z2^2*z3 + 
    422100*ln2^2*z3^2 + 3238200*ln2*sinf*z3^2 + 6053600*z2*z3^2 + 
    7291200*ln2^2*sinf*z5 + 14958300*ln2*z2*z5 + 12030900*sinf*z2*z5 - 
    14352275*z3*z5 - 19608750*sinf*z7)/313600, 
 H[1, -1, 0, 0, -1, 1, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    7920000*ln2^2*s6 + 5184000*ln2*s7a - 864000*ln2*s7b - 13488300*s8a - 
    46368000*s8b - 18144000*s8c + 6048000*s8d - 1152000*ln2*s6*sinf + 
    9216000*s7a*sinf - 10944000*s7b*sinf + 3024000*li4half*ln2^2*z2 + 
    126000*ln2^6*z2 - 10080000*s6*z2 - 4032000*li5half*sinf*z2 - 
    4032000*li4half*ln2*sinf*z2 - 134400*ln2^5*sinf*z2 + 
    6652800*li4half*z2^2 + 25200*ln2^4*z2^2 + 672000*ln2^3*sinf*z2^2 - 
    4007400*ln2^2*z2^3 - 3489600*ln2*sinf*z2^3 - 7802148*z2^4 - 
    7056000*li5half*z3 - 8064000*li4half*ln2*z3 - 277200*ln2^5*z3 + 
    2016000*li4half*sinf*z3 + 84000*ln2^4*sinf*z3 + 1428000*ln2^3*z2*z3 - 
    504000*ln2^2*sinf*z2*z3 + 11336400*ln2*z2^2*z3 + 2957400*sinf*z2^2*z3 + 
    6669000*ln2^2*z3^2 + 6795000*ln2*sinf*z3^2 + 14655375*z2*z3^2 + 
    5859000*ln2^3*z5 + 19530000*ln2^2*sinf*z5 + 57159000*ln2*z2*z5 + 
    36180000*sinf*z2*z5 + 6174000*z3*z5 + 15212250*ln2*z7 - 51449625*sinf*z7)/
   2016000, H[1, -1, 0, 0, -1, 1, -1, 1, 1] -> 
  (564480000*li8half + 75264000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    809200*ln2^8 - 630000000*ln2^2*s6 + 1733928525*s8a + 8282232000*s8b + 
    1260000000*s8c + 899136000*s8d + 451584000*li7half*sinf + 
    112896000*li5half*ln2^2*sinf - 1030400*ln2^7*sinf + 
    120960000*ln2*s6*sinf - 120960000*s7a*sinf + 330624000*s7b*sinf - 
    225792000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 
    10113600*ln2^6*z2 - 2877840000*s6*z2 - 112896000*li5half*sinf*z2 + 
    12230400*ln2^5*sinf*z2 + 177004800*li4half*z2^2 - 68594400*ln2^4*z2^2 - 
    7056000*ln2^3*sinf*z2^2 + 339998400*ln2^2*z2^3 + 
    171763200*ln2*sinf*z2^3 - 97486416*z2^4 - 1403136000*li5half*z3 - 
    28224000*li4half*ln2*z3 + 10516800*ln2^5*z3 - 60480000*ln2^3*z2*z3 - 
    84672000*ln2^2*sinf*z2*z3 - 1249050600*ln2*z2^2*z3 - 
    113047200*sinf*z2^2*z3 - 288540000*ln2^2*z3^2 - 179424000*ln2*sinf*z3^2 - 
    1201221000*z2*z3^2 - 236964000*ln2^3*z5 - 792918000*ln2^2*sinf*z5 - 
    3069108000*ln2*z2*z5 - 629874000*sinf*z2*z5 + 2301445125*z3*z5 + 
    865147500*sinf*z7)/56448000, H[1, -1, 0, 0, -1, 1, -1, 0, 1] -> 
  (87360000*ln2^2*s6 - 222770100*s8a - 1178688000*s8b - 151200000*s8c - 
    159264000*s8d - 15456000*ln2*s6*sinf + 38976000*s7a*sinf - 
    64512000*s7b*sinf + 28224000*li5half*ln2*z2 - 2352000*li4half*ln2^2*z2 - 
    333200*ln2^6*z2 + 485520000*s6*z2 + 9408000*li5half*sinf*z2 - 
    78400*ln2^5*sinf*z2 - 32793600*li4half*z2^2 + 6865600*ln2^4*z2^2 + 
    11368000*ln2^3*sinf*z2^2 - 56877800*ln2^2*z2^3 - 17080000*ln2*sinf*z2^3 + 
    20946304*z2^4 + 287952000*li5half*z3 + 9408000*li4half*ln2*z3 - 
    2007600*ln2^5*z3 + 21644000*ln2^3*z2*z3 + 177349200*ln2*z2^2*z3 + 
    19723200*sinf*z2^2*z3 + 18322500*ln2^2*z3^2 + 42840000*ln2*sinf*z3^2 + 
    157261125*z2*z3^2 + 100254000*ln2^2*sinf*z5 + 377968500*ln2*z2*z5 + 
    167527500*sinf*z2*z5 - 439590375*z3*z5 - 291632250*sinf*z7)/4704000, 
 H[1, -1, 0, 0, -1, 1, -1, -1, 1] -> 
  (-169344000*li4half^2 + 1693440000*li8half + 1128960000*li7half*ln2 - 
    112896000*li5half*ln2^3 - 9408000*li4half*ln2^4 + 660800*ln2^8 + 
    77616000*ln2^2*s6 + 165312000*ln2*s7a - 427392000*ln2*s7b - 
    384421275*s8a - 1996344000*s8b - 344736000*s8c - 346752000*s8d + 
    677376000*li7half*sinf - 169344000*li5half*ln2^2*sinf + 
    1276800*ln2^7*sinf - 233856000*ln2*s6*sinf + 374976000*s7a*sinf - 
    584640000*s7b*sinf + 169344000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 7879200*ln2^6*z2 + 968688000*s6*z2 - 
    84672000*li4half*ln2*sinf*z2 - 14817600*ln2^5*sinf*z2 + 
    49190400*li4half*z2^2 + 76137600*ln2^4*z2^2 + 50097600*ln2^3*sinf*z2^2 - 
    200944800*ln2^2*z2^3 - 55843200*ln2*sinf*z2^3 - 161846424*z2^4 + 
    651168000*li5half*z3 - 119952000*li4half*ln2*z3 - 10424400*ln2^5*z3 + 
    42336000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 + 15456000*ln2^3*z2*z3 - 
    10584000*ln2^2*sinf*z2*z3 + 617841000*ln2*z2^2*z3 + 
    166496400*sinf*z2^2*z3 + 336924000*ln2^2*z3^2 + 437850000*ln2*sinf*z3^2 + 
    288760500*z2*z3^2 + 729120000*ln2^3*z5 + 1162035000*ln2^2*sinf*z5 + 
    2075787000*ln2*z2*z5 + 1747368000*sinf*z2*z5 - 1098964125*z3*z5 - 
    2724435000*ln2*z7 - 3525480000*sinf*z7)/56448000, 
 H[1, -1, 0, 0, -1, 0, 1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    13608000*ln2^2*s6 + 16668225*s8a - 80640000*s8b + 8064000*s8c - 
    43344000*s8d + 6048000*ln2*s6*sinf + 29232000*s7a*sinf - 
    6048000*s7b*sinf - 7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 
    86688000*s6*z2 - 12196800*li4half*z2^2 + 373800*ln2^4*z2^2 - 
    7593600*ln2^2*z2^3 - 7828800*ln2*sinf*z2^3 + 9083496*z2^4 + 
    30240000*li5half*z3 - 3528000*li4half*ln2*z3 - 399000*ln2^5*z3 + 
    3402000*ln2^3*z2*z3 - 44333100*ln2*z2^2*z3 - 7742700*sinf*z2^2*z3 - 
    8079750*ln2^2*z3^2 + 22648500*ln2*sinf*z3^2 + 26365500*z2*z3^2 - 
    22785000*ln2^3*z5 + 44163000*ln2*z2*z5 + 53046000*sinf*z2*z5 - 
    83341125*z3*z5 - 33586875*sinf*z7)/14112000, 
 H[1, -1, 0, 0, -1, 0, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    46368000*ln2^2*s6 - 64064700*s8a - 46368000*s8b - 92736000*s8c + 
    92736000*s8d + 36288000*ln2*s6*sinf - 36288000*s7a*sinf - 
    36288000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    150192000*s6*z2 + 54532800*li4half*z2^2 - 1255800*ln2^4*z2^2 - 
    8038800*ln2^2*z2^3 + 201600*ln2*sinf*z2^3 - 44788242*z2^4 - 
    72576000*li5half*z3 - 42336000*li4half*ln2*z3 - 1159200*ln2^5*z3 + 
    4536000*ln2^3*z2*z3 + 58401000*ln2*z2^2*z3 + 14931000*sinf*z2^2*z3 + 
    28917000*ln2^2*z3^2 - 13608000*ln2*sinf*z3^2 + 57424500*z2*z3^2 + 
    264316500*ln2*z2*z5 + 101965500*sinf*z2*z5 + 54455625*z3*z5 - 
    230792625*sinf*z7)/14112000, H[1, -1, 0, 0, -1, 0, 1, -1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 + 
    23385600*ln2^2*s6 - 6048000*ln2*s7a + 36288000*ln2*s7b - 59064075*s8a - 
    181036800*s8b - 71366400*s8c + 29030400*s8d + 3628800*ln2*s6*sinf - 
    40320000*s7a*sinf + 16128000*s7b*sinf - 33868800*li5half*ln2*z2 - 
    22579200*li4half*ln2^2*z2 - 658560*ln2^6*z2 - 18547200*s6*z2 + 
    11289600*li4half*ln2*sinf*z2 + 470400*ln2^5*sinf*z2 - 
    12257280*li4half*z2^2 + 900480*ln2^4*z2^2 - 2822400*ln2^3*sinf*z2^2 - 
    1680*ln2^2*z2^3 + 3837120*ln2*sinf*z2^3 - 16592628*z2^4 - 
    35481600*li5half*z3 + 40924800*li4half*ln2*z3 + 2000880*ln2^5*z3 - 
    5644800*li4half*sinf*z3 - 235200*ln2^4*sinf*z3 - 3662400*ln2^3*z2*z3 + 
    20462400*ln2^2*sinf*z2*z3 + 6952680*ln2*z2^2*z3 - 2837520*sinf*z2^2*z3 + 
    16896600*ln2^2*z3^2 - 21558600*ln2*sinf*z3^2 + 52201800*z2*z3^2 - 
    41013000*ln2^3*z5 - 54684000*ln2^2*sinf*z5 + 134757000*ln2*z2*z5 - 
    49140000*sinf*z2*z5 + 10632825*z3*z5 + 184895550*ln2*z7 + 
    52006500*sinf*z7)/5644800, H[1, -1, 0, 0, -1, 0, 0, 1, 1] -> 
  (1411200*li4half^2 + 117600*li4half*ln2^4 + 2450*ln2^8 - 4032000*ln2^2*s6 + 
    2787750*s8a + 14968800*s8b + 3830400*s8c + 403200*s8d - 
    2419200*ln2*s6*sinf - 1814400*s7a*sinf + 2419200*s7b*sinf - 
    705600*li4half*ln2^2*z2 - 29400*ln2^6*z2 + 1663200*s6*z2 - 
    766080*li4half*z2^2 + 56280*ln2^4*z2^2 + 982800*ln2^2*z2^3 + 
    504000*ln2*sinf*z2^3 + 1077981*z2^4 - 3628800*li5half*z3 + 
    1058400*li4half*ln2*z3 + 74340*ln2^5*z3 - 567000*ln2^3*z2*z3 - 
    3589110*ln2*z2^2*z3 - 629370*sinf*z2^2*z3 + 155925*ln2^2*z3^2 - 
    878850*ln2*sinf*z3^2 - 6852825*z2*z3^2 + 2734200*ln2^3*z5 - 
    19693800*ln2*z2*z5 - 10215450*sinf*z2*z5 + 13535550*z3*z5 + 
    16113825*sinf*z7)/705600, H[1, -1, 0, 0, -1, 0, 0, 0, 1] -> 
  (382725*s8a + 2688000*s8b - 2016000*s6*z2 + 235200*li4half*z2^2 + 
    9800*ln2^4*z2^2 - 430800*ln2^2*z2^3 - 744000*ln2*sinf*z2^3 + 
    256926*z2^4 - 189000*ln2*z2^2*z3 - 88200*sinf*z2^2*z3 + 661500*z2*z3^2 + 
    3024000*ln2*z2*z5 + 1008000*sinf*z2*z5 - 3346875*z3*z5 - 622125*sinf*z7)/
   336000, H[1, -1, 0, 0, -1, 0, 0, -1, 1] -> 
  (288000*ln2^2*s6 + 1728000*ln2*s7a - 2304000*ln2*s7b + 595350*s8a + 
    3024000*s8b + 576000*ln2*s6*sinf + 3456000*s7a*sinf - 4608000*s7b*sinf - 
    840000*s6*z2 + 168000*li4half*z2^2 + 7000*ln2^4*z2^2 - 
    897600*ln2^2*z2^3 - 1711200*ln2*sinf*z2^3 + 78146*z2^4 - 
    2016000*li5half*z3 - 1008000*li4half*ln2*z3 - 25200*ln2^5*z3 + 
    84000*ln2^3*z2*z3 + 45000*ln2*z2^2*z3 + 1261800*sinf*z2^2*z3 + 
    1498500*ln2^2*z3^2 + 2997000*ln2*sinf*z3^2 + 15750*z2*z3^2 + 
    3906000*ln2^3*z5 + 7812000*ln2^2*sinf*z5 + 6894000*ln2*z2*z5 + 
    14323500*sinf*z2*z5 + 1173375*z3*z5 - 12963000*ln2*z7 - 22308750*sinf*z7)/
   672000, H[1, -1, 0, 0, -1, 0, -1, 1, 1] -> 
  (70560000*li4half^2 + 5880000*li4half*ln2^4 + 122500*ln2^8 - 
    9324000*ln2^2*s6 + 6602400*s8a + 176904000*s8b - 6048000*s8c + 
    41328000*s8d + 7056000*ln2*s6*sinf - 14112000*s7a*sinf - 
    14112000*s7b*sinf + 42336000*li5half*ln2*z2 - 352800*ln2^6*z2 - 
    87948000*s6*z2 + 28224000*li4half*ln2*sinf*z2 + 1176000*ln2^5*sinf*z2 - 
    29836800*li4half*z2^2 - 2125200*ln2^4*z2^2 - 7056000*ln2^3*sinf*z2^2 + 
    13461000*ln2^2*z2^3 - 12982200*ln2*sinf*z2^3 - 3707646*z2^4 - 
    128520000*li5half*z3 + 14112000*li4half*ln2*z3 + 1659000*ln2^5*z3 - 
    17640000*li4half*sinf*z3 - 735000*ln2^4*sinf*z3 - 7623000*ln2^3*z2*z3 + 
    17640000*ln2^2*sinf*z2*z3 - 36615600*ln2*z2^2*z3 + 
    13494600*sinf*z2^2*z3 + 21853125*ln2^2*z3^2 - 13891500*ln2*sinf*z3^2 - 
    28814625*z2*z3^2 + 22785000*ln2^3*z5 + 34177500*ln2^2*sinf*z5 - 
    85932000*ln2*z2*z5 + 7276500*sinf*z2*z5 + 186826500*z3*z5 - 
    38973375*sinf*z7)/7056000, H[1, -1, 0, 0, -1, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 23944725*s8a + 45360000*s8b - 36288000*s8c + 
    36288000*s8d - 20160000*ln2*s6*sinf + 20160000*s7a*sinf + 
    20160000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    160776000*s6*z2 + 46065600*li4half*z2^2 - 1608600*ln2^4*z2^2 - 
    15019200*ln2^2*z2^3 - 5292000*ln2*sinf*z2^3 - 15423396*z2^4 + 
    12096000*li5half*z3 - 56448000*li4half*ln2*z3 - 2452800*ln2^5*z3 + 
    15120000*ln2^3*z2*z3 + 22327200*ln2*z2^2*z3 - 11529000*sinf*z2^2*z3 + 
    1575000*ln2^2*z3^2 + 18144000*ln2*sinf*z3^2 + 112218750*z2*z3^2 + 
    286807500*ln2*z2*z5 + 94500*sinf*z2*z5 - 265434750*z3*z5 + 
    46265625*sinf*z7)/14112000, H[1, -1, 0, 0, -1, 0, -1, -1, 1] -> 
  (-1128960*li4half^2 - 94080*li4half*ln2^4 - 1960*ln2^8 - 792960*ln2^2*s6 + 
    2526720*ln2*s7a - 672000*ln2*s7b + 261345*s8a + 13224960*s8b - 
    645120*s8c + 2903040*s8d + 107520*ln2*s6*sinf + 1774080*s7a*sinf - 
    1424640*s7b*sinf + 564480*li4half*ln2^2*z2 + 23520*ln2^6*z2 - 
    7875840*s6*z2 + 1483776*li4half*z2^2 - 8736*ln2^4*z2^2 - 
    224672*ln2^2*z2^3 - 656992*ln2*sinf*z2^3 - 222160*z2^4 - 
    5994240*li5half*z3 - 2069760*li4half*ln2*z3 - 36288*ln2^5*z3 + 
    17920*ln2^3*z2*z3 - 1393392*ln2*z2^2*z3 + 303744*sinf*z2^2*z3 + 
    1764420*ln2^2*z3^2 + 1288560*ln2*sinf*z3^2 + 1230600*z2*z3^2 + 
    2734200*ln2^3*z5 + 2551920*ln2^2*sinf*z5 + 4556160*ln2*z2*z5 + 
    4284840*sinf*z2*z5 + 401415*z3*z5 - 5118330*ln2*z7 - 5700450*sinf*z7)/
   376320, H[1, -1, 0, 0, -1, -1, 1, 1, 1] -> 
  (-135475200*li8half + 45158400*li6half*ln2^2 - 3763200*li5half*ln2^3 - 
    3763200*li4half*ln2^4 - 66080*ln2^8 + 79430400*ln2^2*s6 - 158520600*s8a - 
    902160000*s8b - 96768000*s8c - 129024000*s8d - 67737600*li7half*sinf + 
    90316800*li6half*ln2*sinf + 11289600*li5half*ln2^2*sinf - 
    3763200*li4half*ln2^3*sinf - 112000*ln2^7*sinf + 52819200*ln2*s6*sinf + 
    9273600*s7a*sinf - 18950400*s7b*sinf - 45158400*li6half*z2 + 
    11289600*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 - 141120*ln2^6*z2 + 
    339897600*s6*z2 - 11289600*li5half*sinf*z2 - 11289600*li4half*ln2*sinf*
     z2 - 658560*ln2^5*sinf*z2 - 10563840*li4half*z2^2 + 1300320*ln2^4*z2^2 - 
    5832960*ln2^3*sinf*z2^2 - 36721440*ln2^2*z2^3 - 29363040*ln2*sinf*z2^3 + 
    31627152*z2^4 + 238291200*li5half*z3 + 2822400*li4half*ln2*z3 - 
    1209600*ln2^5*z3 - 5644800*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 
    8332800*ln2^3*z2*z3 + 1411200*ln2^2*sinf*z2*z3 + 131957280*ln2*z2^2*z3 + 
    9293760*sinf*z2^2*z3 + 1304100*ln2^2*z3^2 - 13015800*ln2*sinf*z3^2 + 
    127304100*z2*z3^2 + 6379800*ln2^3*z5 + 13671000*ln2^2*sinf*z5 + 
    271164600*ln2*z2*z5 + 70219800*sinf*z2*z5 - 344758050*z3*z5 - 
    36803025*sinf*z7)/11289600, H[1, -1, 0, 0, -1, -1, 1, 0, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 - 
    161280000*ln2^2*s6 + 539621775*s8a + 3195360000*s8b + 252000000*s8c + 
    594720000*s8d + 46368000*ln2*s6*sinf - 116928000*s7a*sinf + 
    137088000*s7b*sinf + 225792000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    1724800*ln2^6*z2 - 1464624000*s6*z2 - 28224000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 940800*ln2^5*sinf*z2 + 
    189504000*li4half*z2^2 - 17976000*ln2^4*z2^2 - 27048000*ln2^3*sinf*z2^2 + 
    92526000*ln2^2*z2^3 + 43176000*ln2*sinf*z2^3 - 171349896*z2^4 - 
    928368000*li5half*z3 - 91728000*li4half*ln2*z3 + 3914400*ln2^5*z3 + 
    56448000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 - 33852000*ln2^3*z2*z3 - 
    1764000*ln2^2*sinf*z2*z3 - 419895000*ln2*z2^2*z3 - 
    73281600*sinf*z2^2*z3 + 5134500*ln2^2*z3^2 - 65016000*ln2*sinf*z3^2 - 
    422950500*z2*z3^2 - 246078000*ln2^2*sinf*z5 - 539910000*ln2*z2*z5 - 
    377338500*sinf*z2*z5 + 1471711500*z3*z5 + 677218500*sinf*z7)/28224000, 
 H[1, -1, 0, 0, -1, -1, 1, -1, 1] -> 
  (-8064000*li4half^2 + 96768000*li8half - 32256000*li7half*ln2 - 
    32256000*li6half*ln2^2 + 8064000*li5half*ln2^3 + 2016000*li4half*ln2^4 - 
    5200*ln2^8 - 62784000*ln2^2*s6 - 9792000*ln2*s7a + 20448000*ln2*s7b + 
    135994950*s8a + 812448000*s8b + 80640000*s8c + 116928000*s8d + 
    16128000*li7half*sinf - 64512000*li6half*ln2*sinf + 
    2688000*li4half*ln2^3*sinf + 19200*ln2^7*sinf - 23904000*ln2*s6*sinf - 
    40608000*s7a*sinf + 29952000*s7b*sinf + 32256000*li6half*z2 - 
    24192000*li5half*ln2*z2 - 6048000*li4half*ln2^2*z2 + 464800*ln2^6*z2 - 
    300384000*s6*z2 - 4032000*li4half*ln2*sinf*z2 + 571200*ln2^5*sinf*z2 + 
    27014400*li4half*z2^2 - 2721600*ln2^4*z2^2 + 5644800*ln2^3*sinf*z2^2 + 
    30931200*ln2^2*z2^3 + 21787200*ln2*sinf*z2^3 - 25281648*z2^4 - 
    221760000*li5half*z3 + 9072000*li4half*ln2*z3 + 1755600*ln2^5*z3 + 
    2016000*li4half*sinf*z3 - 504000*ln2^4*sinf*z3 - 10500000*ln2^3*z2*z3 - 
    2016000*ln2^2*sinf*z2*z3 - 141555600*ln2*z2^2*z3 - 
    13172400*sinf*z2^2*z3 + 1777500*ln2^2*z3^2 - 45000*ln2*sinf*z3^2 - 
    109210500*z2*z3^2 - 40362000*ln2^3*z5 - 68355000*ln2^2*sinf*z5 - 
    269730000*ln2*z2*z5 - 90189000*sinf*z2*z5 + 297092250*z3*z5 + 
    101464875*ln2*z7 + 121311000*sinf*z7)/8064000, 
 H[1, -1, 0, 0, -1, -1, 0, 1, 1] -> 
  (3024000*ln2^2*s6 - 4920300*s8a + 10080000*s8b - 10080000*s8c + 
    14112000*s8d - 2016000*ln2*s6*sinf - 2016000*s7a*sinf + 
    2016000*s7b*sinf - 32256000*li6half*z2 - 24192000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 - 11200*ln2^6*z2 - 46368000*s6*z2 - 
    8064000*li5half*sinf*z2 + 67200*ln2^5*sinf*z2 + 2217600*li4half*z2^2 - 
    243600*ln2^4*z2^2 - 672000*ln2^3*sinf*z2^2 - 516000*ln2^2*z2^3 - 
    1687200*ln2*sinf*z2^3 - 2524128*z2^4 + 3024000*li5half*z3 + 
    5040000*li4half*ln2*z3 + 184800*ln2^5*z3 + 1344000*ln2^3*z2*z3 + 
    3528000*ln2^2*sinf*z2*z3 + 9601200*ln2*z2^2*z3 + 340200*sinf*z2^2*z3 + 
    693000*ln2^2*z3^2 - 3969000*ln2*sinf*z3^2 + 10962000*z2*z3^2 + 
    2604000*ln2^3*z5 + 55629000*ln2*z2*z5 - 2079000*sinf*z2*z5 + 
    3220875*z3*z5 + 12883500*sinf*z7)/4032000, 
 H[1, -1, 0, 0, -1, -1, 0, 0, 1] -> (161280*li4half^2 + 13440*li4half*ln2^4 + 
    280*ln2^8 - 201600*ln2^2*s6 + 203490*s8a - 40320*s8b + 403200*s8c - 
    403200*s8d - 80640*ln2*s6*sinf + 80640*s7a*sinf + 80640*s7b*sinf - 
    80640*li4half*ln2^2*z2 - 3360*ln2^6*z2 + 725760*s6*z2 - 
    201600*li4half*z2^2 + 1680*ln2^4*z2^2 + 40320*ln2^2*z2^3 + 
    14112*ln2*sinf*z2^3 + 188856*z2^4 + 282240*li5half*z3 + 
    161280*li4half*ln2*z3 + 4368*ln2^5*z3 - 16800*ln2^3*z2*z3 - 
    213192*ln2*z2^2*z3 - 13104*sinf*z2^2*z3 - 107100*ln2^2*z3^2 - 
    252000*z2*z3^2 - 1149120*ln2*z2*z5 - 216720*sinf*z2*z5 - 143955*z3*z5 + 
    422730*sinf*z7)/80640, H[1, -1, 0, 0, -1, -1, 0, -1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    47376000*ln2^2*s6 + 52416000*ln2*s7a + 24192000*ln2*s7b + 12881925*s8a - 
    160272000*s8b + 18144000*s8c - 18144000*s8d - 38304000*ln2*s6*sinf + 
    66528000*s7a*sinf + 10080000*s7b*sinf - 112896000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 1803200*ln2^6*z2 - 
    41328000*s6*z2 - 28224000*li5half*sinf*z2 + 235200*ln2^5*sinf*z2 - 
    71366400*li4half*z2^2 + 1142400*ln2^4*z2^2 - 2352000*ln2^3*sinf*z2^2 + 
    19286400*ln2^2*z2^3 - 2906400*ln2*sinf*z2^3 + 1012488*z2^4 + 
    113904000*li5half*z3 + 162288000*li4half*ln2*z3 + 5812800*ln2^5*z3 - 
    22848000*ln2^3*z2*z3 + 12348000*ln2^2*sinf*z2*z3 + 8958600*ln2*z2^2*z3 + 
    11390400*sinf*z2^2*z3 + 6300000*ln2^2*z3^2 - 30177000*ln2*sinf*z3^2 + 
    3039750*z2*z3^2 + 27342000*ln2^3*z5 + 54684000*ln2^2*sinf*z5 - 
    8410500*ln2*z2*z5 - 283500*sinf*z2*z5 + 41595750*z3*z5 + 
    340239375*ln2*z7 + 68032125*sinf*z7)/28224000, 
 H[1, -1, 0, 0, -1, -1, -1, 1, 1] -> 
  (47040000*li4half^2 - 338688000*li8half + 150528000*li6half*ln2^2 + 
    43904000*li5half*ln2^3 + 5488000*li4half*ln2^4 - 18200*ln2^8 + 
    163632000*ln2^2*s6 - 214626825*s8a - 973896000*s8b - 186144000*s8c - 
    30240000*s8d - 263424000*li7half*sinf + 75264000*li6half*ln2*sinf + 
    37632000*li5half*ln2^2*sinf - 156800*ln2^7*sinf + 92736000*ln2*s6*sinf - 
    59808000*s7a*sinf + 43680000*s7b*sinf - 150528000*li6half*z2 - 
    75264000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 196000*ln2^6*z2 + 
    98112000*s6*z2 - 37632000*li5half*sinf*z2 + 18816000*li4half*ln2*sinf*
     z2 + 1568000*ln2^5*sinf*z2 - 34742400*li4half*z2^2 - 
    4936400*ln2^4*z2^2 - 18267200*ln2^3*sinf*z2^2 - 36237600*ln2^2*z2^3 - 
    52869600*ln2*sinf*z2^3 + 18630168*z2^4 + 178080000*li5half*z3 + 
    32928000*li4half*ln2*z3 - 1209600*ln2^5*z3 - 11760000*li4half*sinf*z3 - 
    1862000*ln2^4*sinf*z3 + 15820000*ln2^3*z2*z3 + 
    31164000*ln2^2*sinf*z2*z3 + 184342200*ln2*z2^2*z3 - 562800*sinf*z2^2*z3 + 
    4935000*ln2^2*z3^2 - 98280000*ln2*sinf*z3^2 + 181209000*z2*z3^2 - 
    28861000*ln2^3*z5 - 104811000*ln2^2*sinf*z5 + 567546000*ln2*z2*z5 - 
    126987000*sinf*z2*z5 - 155638875*z3*z5 + 474219375*sinf*z7)/18816000, 
 H[1, -1, 0, 0, -1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    23184000*ln2^2*s6 + 22142925*s8a + 65520000*s8b + 46368000*s8c - 
    46368000*s8d - 18144000*ln2*s6*sinf + 18144000*s7a*sinf + 
    18144000*s7b*sinf + 282240000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 180936000*s6*z2 + 
    28224000*li5half*sinf*z2 - 235200*ln2^5*sinf*z2 + 13305600*li4half*z2^2 + 
    3494400*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 - 4704000*ln2^2*z2^3 + 
    2738400*ln2*sinf*z2^3 - 4804512*z2^4 - 20160000*li5half*z3 - 
    56448000*li4half*ln2*z3 - 2184000*ln2^5*z3 - 8148000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 - 44238600*ln2*z2^2*z3 - 
    13507200*sinf*z2^2*z3 - 2992500*ln2^2*z3^2 + 29736000*ln2*sinf*z3^2 - 
    30696750*z2*z3^2 - 232155000*ln2*z2*z5 - 45580500*sinf*z2*z5 - 
    152499375*z3*z5 + 79758000*sinf*z7)/28224000, 
 H[1, -1, 0, 0, -1, -1, -1, -1, 1] -> 
  (-1241856000*li8half - 1128960000*li7half*ln2 - 451584000*li6half*ln2^2 - 
    94080000*li5half*ln2^3 - 4704000*li4half*ln2^4 + 154000*ln2^8 + 
    73584000*ln2^2*s6 - 88704000*ln2*s7a + 292320000*ln2*s7b - 
    419537475*s8a - 2267496000*s8b - 308448000*s8c - 143136000*s8d - 
    338688000*li7half*sinf - 225792000*li6half*ln2*sinf - 
    56448000*li5half*ln2^2*sinf + 224000*ln2^7*sinf - 68544000*ln2*s6*sinf + 
    54432000*s7a*sinf + 40320000*s7b*sinf + 112896000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 1411200*ln2^6*z2 + 519120000*s6*z2 - 
    1411200*ln2^5*sinf*z2 - 28627200*li4half*z2^2 + 1159200*ln2^4*z2^2 - 
    39614400*ln2^2*z2^3 - 23587200*ln2*sinf*z2^3 + 57214224*z2^4 + 
    272160000*li5half*z3 + 1024800*ln2^5*z3 + 4116000*ln2^4*sinf*z3 + 
    14448000*ln2^3*z2*z3 + 191734200*ln2*z2^2*z3 - 7358400*sinf*z2^2*z3 - 
    75222000*ln2^2*z3^2 - 4284000*ln2*sinf*z3^2 + 346657500*z2*z3^2 - 
    264306000*ln2^3*z5 + 54684000*ln2^2*sinf*z5 + 13734000*ln2*z2*z5 - 
    117999000*sinf*z2*z5 - 314582625*z3*z5 + 2582503875*ln2*z7 + 
    589317750*sinf*z7)/56448000, H[1, -1, 0, -1, 1, 1, 1, 1, 1] -> 
  (1128960000*li8half + 28224000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 - 1400*ln2^8 - 115920000*ln2^2*s6 + 241978275*s8a + 
    1311912000*s8b + 217728000*s8c - 34272000*s8d - 169344000*li7half*sinf + 
    56448000*li6half*ln2*sinf - 14112000*li5half*ln2^2*sinf - 
    4704000*li4half*ln2^3*sinf + 33600*ln2^7*sinf - 14112000*ln2*s6*sinf + 
    28224000*s7b*sinf - 28224000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 - 372400*ln2^6*z2 - 16128000*s6*z2 + 
    14112000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*z2 - 
    823200*ln2^5*sinf*z2 + 13608000*li4half*z2^2 - 3813600*ln2^4*z2^2 - 
    3880800*ln2^3*sinf*z2^2 - 8316000*ln2^2*z2^3 - 23234400*ln2*sinf*z2^3 - 
    39714516*z2^4 + 19152000*li5half*z3 + 2927400*ln2^5*z3 - 
    7056000*li4half*sinf*z3 + 2793000*ln2^4*sinf*z3 - 29274000*ln2^3*z2*z3 - 
    16758000*ln2^2*sinf*z2*z3 - 214313400*ln2*z2^2*z3 - 
    27077400*sinf*z2^2*z3 - 28743750*ln2^2*z3^2 + 3748500*ln2*sinf*z3^2 - 
    187220250*z2*z3^2 + 45570000*ln2^3*z5 + 41013000*ln2^2*sinf*z5 - 
    789894000*ln2*z2*z5 - 152145000*sinf*z2*z5 - 47525625*z3*z5 + 
    461175750*sinf*z7)/28224000, H[1, -1, 0, -1, 1, 1, 1, 0, 1] -> 
  (-7902720*li4half^2 - 180633600*li8half + 4515840*li6half*ln2^2 - 
    658560*li4half*ln2^4 - 11928*ln2^8 + 7418880*ln2^2*s6 - 30306150*s8a - 
    179303040*s8b - 15966720*s8c - 6612480*s8d + 72253440*li7half*sinf + 
    9031680*li6half*ln2*sinf - 1792*ln2^7*sinf - 10160640*ln2*s6*sinf + 
    9031680*s7a*sinf - 2822400*s7b*sinf + 4515840*li6half*z2 - 
    13547520*li5half*ln2*z2 + 1128960*li4half*ln2^2*z2 + 197568*ln2^6*z2 + 
    27336960*s6*z2 - 4515840*li5half*sinf*z2 - 2257920*li4half*ln2*sinf*z2 + 
    56448*ln2^5*sinf*z2 + 2911104*li4half*z2^2 - 414960*ln2^4*z2^2 + 
    987840*ln2^3*sinf*z2^2 + 2296224*ln2^2*z2^3 + 8396640*ln2*sinf*z2^3 + 
    12460824*z2^4 + 27901440*li5half*z3 - 5927040*li4half*ln2*z3 - 
    479472*ln2^5*z3 + 2822400*li4half*sinf*z3 + 117600*ln2^4*sinf*z3 + 
    5076960*ln2^3*z2*z3 - 2610720*ln2^2*sinf*z2*z3 + 25523568*ln2*z2^2*z3 + 
    1263024*sinf*z2^2*z3 - 1997100*ln2^2*z3^2 + 8731800*ln2*sinf*z3^2 + 
    21244860*z2*z3^2 + 11483640*ln2^2*sinf*z5 + 64411200*ln2*z2*z5 + 
    14164920*sinf*z2*z5 - 16551990*z3*z5 - 84017115*sinf*z7)/2257920, 
 H[1, -1, 0, -1, 1, 1, 1, -1, 1] -> 
  (-112896000*li4half^2 - 1270080000*li8half + 310464000*li7half*ln2 - 
    5880000*li4half*ln2^4 - 142100*ln2^8 - 21168000*ln2^2*s6 + 
    45360000*ln2*s7a - 88704000*ln2*s7b - 218913975*s8a - 1453032000*s8b - 
    48384000*s8c - 184464000*s8d + 592704000*li7half*sinf + 
    4704000*li4half*ln2^3*sinf + 78400*ln2^7*sinf - 144144000*ln2*s6*sinf + 
    144144000*s7a*sinf - 46368000*s7b*sinf + 21168000*li4half*ln2^2*z2 + 
    411600*ln2^6*z2 + 485352000*s6*z2 - 42336000*li4half*ln2*sinf*z2 - 
    3998400*ln2^5*sinf*z2 + 41428800*li4half*z2^2 + 23541000*ln2^4*z2^2 + 
    25872000*ln2^3*sinf*z2^2 + 47577600*ln2^2*z2^3 + 90115200*ln2*sinf*z2^3 + 
    147572784*z2^4 + 368928000*li5half*z3 - 91728000*li4half*ln2*z3 - 
    9983400*ln2^5*z3 + 21168000*li4half*sinf*z3 - 2205000*ln2^4*sinf*z3 + 
    47502000*ln2^3*z2*z3 - 60858000*ln2^2*sinf*z2*z3 + 
    284445000*ln2*z2^2*z3 + 6010200*sinf*z2^2*z3 - 1323000*ln2^2*z3^2 + 
    115353000*ln2*sinf*z3^2 + 154035000*z2*z3^2 + 129874500*ln2^3*z5 + 
    184558500*ln2^2*sinf*z5 + 409909500*ln2*z2*z5 + 142159500*sinf*z2*z5 - 
    405381375*z3*z5 - 1040807250*ln2*z7 - 708238125*sinf*z7)/28224000, 
 H[1, -1, 0, -1, 1, 1, 0, 1, 1] -> 
  (296352000*li4half^2 + 2257920000*li8half - 338688000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 + 24696000*li4half*ln2^4 + 727300*ln2^8 - 
    171360000*ln2^2*s6 + 599698575*s8a + 4168584000*s8b + 116928000*s8c + 
    701568000*s8d - 1354752000*li7half*sinf - 677376000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf + 268800*ln2^7*sinf + 96768000*ln2*s6*sinf - 
    322560000*s7a*sinf + 114912000*s7b*sinf + 1016064000*li6half*z2 + 
    225792000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 4782400*ln2^6*z2 - 
    1374912000*s6*z2 - 56448000*li5half*sinf*z2 + 127008000*li4half*ln2*sinf*
     z2 + 4821600*ln2^5*sinf*z2 - 48081600*li4half*z2^2 + 936600*ln2^4*z2^2 - 
    31164000*ln2^3*sinf*z2^2 + 865200*ln2^2*z2^3 - 120590400*ln2*sinf*z2^3 - 
    462717408*z2^4 - 1459584000*li5half*z3 + 222264000*li4half*ln2*z3 + 
    21424200*ln2^5*z3 - 74088000*li4half*sinf*z3 - 3087000*ln2^4*sinf*z3 - 
    79296000*ln2^3*z2*z3 + 177282000*ln2^2*sinf*z2*z3 - 
    553681800*ln2*z2^2*z3 + 7623000*sinf*z2^2*z3 + 157311000*ln2^2*z3^2 - 
    268695000*ln2*sinf*z3^2 - 477760500*z2*z3^2 + 22785000*ln2^3*z5 - 
    389623500*ln2^2*sinf*z5 - 419139000*ln2*z2*z5 - 170194500*sinf*z2*z5 + 
    1381298625*z3*z5 + 1419051375*sinf*z7)/28224000, 
 H[1, -1, 0, -1, 1, 1, 0, 0, 1] -> (-806400*li4half^2 - 67200*li4half*ln2^4 - 
    1400*ln2^8 + 772800*ln2^2*s6 - 2102625*s8a - 12028800*s8b - 1344000*s8c - 
    1881600*s8d - 412800*ln2*s6*sinf + 614400*s7a*sinf - 326400*s7b*sinf - 
    3225600*li6half*z2 - 806400*li5half*ln2*z2 + 336000*li4half*ln2^2*z2 + 
    16240*ln2^6*z2 + 4065600*s6*z2 - 268800*li5half*sinf*z2 - 
    134400*li4half*ln2*sinf*z2 - 3360*ln2^5*sinf*z2 + 80640*li4half*z2^2 + 
    45360*ln2^4*z2^2 + 162400*ln2^3*sinf*z2^2 - 453760*ln2^2*z2^3 - 
    169280*ln2*sinf*z2^3 + 582188*z2^4 + 3830400*li5half*z3 - 
    705600*li4half*ln2*z3 - 61320*ln2^5*z3 + 268800*li4half*sinf*z3 + 
    11200*ln2^4*sinf*z3 + 394800*ln2^3*z2*z3 - 268800*ln2^2*sinf*z2*z3 + 
    1703520*ln2*z2^2*z3 - 206040*sinf*z2^2*z3 + 15750*ln2^2*z3^2 + 
    774300*ln2*sinf*z3^2 + 2097900*z2*z3^2 + 911400*ln2^2*sinf*z5 + 
    4208400*ln2*z2*z5 + 1047000*sinf*z2*z5 - 4736025*z3*z5 - 368175*sinf*z7)/
   134400, H[1, -1, 0, -1, 1, 1, 0, -1, 1] -> 
  (64512000*li7half*ln2 + 16128000*li6half*ln2^2 + 9600*ln2^8 - 
    11088000*ln2^2*s6 + 26208000*ln2*s7a - 20832000*ln2*s7b + 6584025*s8a + 
    72072000*s8b - 11424000*s8c + 31584000*s8d + 129024000*li7half*sinf + 
    32256000*li6half*ln2*sinf + 19200*ln2^7*sinf - 7584000*ln2*s6*sinf + 
    26400000*s7a*sinf - 46848000*s7b*sinf - 67200*ln2^6*z2 - 74928000*s6*z2 - 
    4032000*li5half*sinf*z2 - 100800*ln2^5*sinf*z2 + 6316800*li4half*z2^2 + 
    1405600*ln2^4*z2^2 + 1948800*ln2^3*sinf*z2^2 + 6135200*ln2^2*z2^3 + 
    1600000*ln2*sinf*z2^3 - 14750936*z2^4 - 58128000*li5half*z3 + 
    484400*ln2^5*z3 - 3332000*ln2^3*z2*z3 + 2142000*ln2^2*sinf*z2*z3 - 
    9353400*ln2*z2^2*z3 + 13149600*sinf*z2^2*z3 + 35017500*ln2^2*z3^2 + 
    32097000*ln2*sinf*z3^2 + 1044750*z2*z3^2 + 45570000*ln2^3*z5 + 
    70959000*ln2^2*sinf*z5 + 96936000*ln2*z2*z5 + 145029000*sinf*z2*z5 + 
    86501625*z3*z5 - 124931625*ln2*z7 - 357465000*sinf*z7)/1344000, 
 H[1, -1, 0, -1, 1, 1, -1, 1, 1] -> 
  (338688000*li4half^2 + 4798080000*li8half + 169344000*li6half*ln2^2 + 
    94080000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 158200*ln2^8 - 
    199584000*ln2^2*s6 + 1927637775*s8a + 11796120000*s8b + 836640000*s8c + 
    1689408000*s8d - 1693440000*li7half*sinf + 141120000*li5half*ln2^2*sinf - 
    840000*ln2^7*sinf + 570528000*ln2*s6*sinf - 471744000*s7a*sinf + 
    205632000*s7b*sinf - 169344000*li6half*z2 - 282240000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 + 3096800*ln2^6*z2 - 4860576000*s6*z2 - 
    141120000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    19992000*ln2^5*sinf*z2 + 83865600*li4half*z2^2 - 108049200*ln2^4*z2^2 - 
    103488000*ln2^3*sinf*z2^2 + 153820800*ln2^2*z2^3 - 
    215107200*ln2*sinf*z2^3 - 673497936*z2^4 - 2884896000*li5half*z3 + 
    444528000*li4half*ln2*z3 + 36388800*ln2^5*z3 - 42336000*li4half*sinf*z3 - 
    7938000*ln2^4*sinf*z3 - 178668000*ln2^3*z2*z3 + 
    269892000*ln2^2*sinf*z2*z3 - 1425627000*ln2*z2^2*z3 - 
    9903600*sinf*z2^2*z3 - 83916000*ln2^2*z3^2 - 571158000*ln2*sinf*z3^2 - 
    1201221000*z2*z3^2 - 227850000*ln2^3*z5 - 997983000*ln2^2*sinf*z5 - 
    1826370000*ln2*z2*z5 - 283437000*sinf*z2*z5 + 3301081875*z3*z5 + 
    1924728750*sinf*z7)/56448000, H[1, -1, 0, -1, 1, 1, -1, 0, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    3427200*ln2^2*s6 - 68095125*s8a - 426081600*s8b - 6854400*s8c - 
    111686400*s8d - 14918400*ln2*s6*sinf + 14918400*s7a*sinf + 
    6451200*s7b*sinf + 50803200*li6half*z2 + 50803200*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 + 333446400*s6*z2 + 16934400*li5half*sinf*z2 - 
    5644800*li4half*ln2*sinf*z2 - 376320*ln2^5*sinf*z2 - 
    5402880*li4half*z2^2 + 4361280*ln2^4*z2^2 + 7056000*ln2^3*sinf*z2^2 - 
    21525840*ln2^2*z2^3 + 4505760*ln2*sinf*z2^3 + 33139728*z2^4 + 
    168336000*li5half*z3 - 29635200*li4half*ln2*z3 - 2637600*ln2^5*z3 + 
    2822400*li4half*sinf*z3 + 117600*ln2^4*sinf*z3 + 7148400*ln2^3*z2*z3 - 
    18169200*ln2^2*sinf*z2*z3 + 44856000*ln2*z2^2*z3 - 6688080*sinf*z2^2*z3 - 
    9664200*ln2^2*z3^2 + 21470400*ln2*sinf*z3^2 + 13100850*z2*z3^2 + 
    8202600*ln2^2*sinf*z5 - 86335200*ln2*z2*z5 - 54318600*sinf*z2*z5 - 
    246737925*z3*z5 + 90304200*sinf*z7)/5644800, 
 H[1, -1, 0, -1, 1, 1, -1, -1, 1] -> 
  (-645120000*li8half - 120960000*li7half*ln2 - 16128000*li6half*ln2^2 - 
    5376000*li5half*ln2^3 + 30400*ln2^8 + 71856000*ln2^2*s6 - 
    16416000*ln2*s7a + 19872000*ln2*s7b - 209715975*s8a - 1375416000*s8b - 
    163296000*s8c - 98784000*s8d + 88704000*li7half*sinf + 
    16128000*li6half*ln2*sinf - 8064000*li5half*ln2^2*sinf + 
    72000*ln2^7*sinf - 864000*ln2*s6*sinf - 3168000*s7a*sinf - 
    37440000*s7b*sinf - 8064000*li6half*z2 + 8064000*li5half*ln2*z2 - 
    750400*ln2^6*z2 + 330624000*s6*z2 - 1646400*ln2^5*sinf*z2 - 
    19756800*li4half*z2^2 + 10063200*ln2^4*z2^2 + 2956800*ln2^3*sinf*z2^2 - 
    11052000*ln2^2*z2^3 + 1353600*ln2*sinf*z2^3 + 19424304*z2^4 + 
    195552000*li5half*z3 - 747600*ln2^5*z3 + 882000*ln2^4*sinf*z3 + 
    6720000*ln2^3*z2*z3 - 6804000*ln2^2*sinf*z2*z3 + 145701000*ln2*z2^2*z3 + 
    8848800*sinf*z2^2*z3 + 43141500*ln2^2*z3^2 + 28863000*ln2*sinf*z3^2 + 
    155043000*z2*z3^2 - 18228000*ln2^3*z5 + 58590000*ln2^2*sinf*z5 + 
    404991000*ln2*z2*z5 + 111051000*sinf*z2*z5 - 27334125*z3*z5 + 
    340810875*ln2*z7 - 286191000*sinf*z7)/8064000, 
 H[1, -1, 0, -1, 1, 0, 1, 1, 1] -> 
  (-931392000*li4half^2 - 2257920000*li8half + 677376000*li6half*ln2^2 + 
    301056000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 889000*ln2^8 + 
    570528000*ln2^2*s6 - 483956550*s8a - 2623824000*s8b - 435456000*s8c + 
    68544000*s8d + 1806336000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf + 75264000*li4half*ln2^3*sinf + 
    896000*ln2^7*sinf + 290304000*ln2*s6*sinf + 415296000*s7a*sinf - 
    22176000*s7b*sinf - 677376000*li6half*z2 - 903168000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 9721600*ln2^6*z2 - 306432000*s6*z2 - 
    451584000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*z2 - 
    8702400*ln2^5*sinf*z2 + 497750400*li4half*z2^2 - 10424400*ln2^4*z2^2 + 
    25872000*ln2^3*sinf*z2^2 - 214351200*ln2^2*z2^3 + 
    45612000*ln2*sinf*z2^3 + 86754672*z2^4 + 2233728000*li5half*z3 - 
    444528000*li4half*ln2*z3 - 37136400*ln2^5*z3 + 
    176400000*li4half*sinf*z3 + 7350000*ln2^4*sinf*z3 + 
    180852000*ln2^3*z2*z3 - 276948000*ln2^2*sinf*z2*z3 + 
    1037559600*ln2*z2^2*z3 - 98582400*sinf*z2^2*z3 - 313614000*ln2^2*z3^2 + 
    176904000*ln2*sinf*z3^2 + 745542000*z2*z3^2 - 373674000*ln2^3*z5 - 
    136710000*ln2^2*sinf*z5 + 2427390000*ln2*z2*z5 + 639324000*sinf*z2*z5 - 
    2307296250*z3*z5 - 1631739375*sinf*z7)/56448000, 
 H[1, -1, 0, -1, 1, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    4032000*ln2^2*s6 - 6208650*s8a - 121564800*s8b + 19353600*s8c - 
    53222400*s8d + 8064000*ln2*s6*sinf + 3225600*s7a*sinf - 
    19353600*s7b*sinf + 67737600*li6half*z2 + 67737600*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 150192000*s6*z2 + 
    22579200*li5half*sinf*z2 + 16934400*li4half*ln2*sinf*z2 + 
    517440*ln2^5*sinf*z2 - 43948800*li4half*z2^2 - 420000*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 + 3967320*ln2^2*z2^3 - 3909360*ln2*sinf*z2^3 + 
    15274716*z2^4 - 45964800*li5half*z3 + 29635200*li4half*ln2*z3 + 
    1617840*ln2^5*z3 - 2822400*li4half*sinf*z3 - 117600*ln2^4*sinf*z3 - 
    7005600*ln2^3*z2*z3 + 9172800*ln2^2*sinf*z2*z3 - 32179140*ln2*z2^2*z3 + 
    7945560*sinf*z2^2*z3 + 3628800*ln2^2*z3^2 + 1915200*ln2*sinf*z3^2 - 
    21615300*z2*z3^2 + 21873600*ln2^2*sinf*z5 - 125136900*ln2*z2*z5 + 
    35198100*sinf*z2*z5 + 32487525*z3*z5 - 102208050*sinf*z7)/2822400, 
 H[1, -1, 0, -1, 1, 0, 1, -1, 1] -> 
  (790272000*li4half^2 - 6773760000*li8half - 5419008000*li7half*ln2 - 
    677376000*li6half*ln2^2 + 9408000*li4half*ln2^4 - 1013600*ln2^8 + 
    1526112000*ln2^2*s6 - 1366848000*ln2*s7a + 1582560000*ln2*s7b - 
    1994630400*s8a - 14666400000*s8b - 967680000*s8c - 1911168000*s8d - 
    7225344000*li7half*sinf - 1354752000*li6half*ln2*sinf - 
    75264000*li4half*ln2^3*sinf - 3584000*ln2^7*sinf + 
    1060416000*ln2*s6*sinf - 1709568000*s7a*sinf + 2128896000*s7b*sinf + 
    677376000*li6half*z2 + 1185408000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 3763200*ln2^6*z2 + 5586336000*s6*z2 + 
    112896000*li4half*ln2*sinf*z2 + 21638400*ln2^5*sinf*z2 - 
    963648000*li4half*z2^2 - 125529600*ln2^4*z2^2 - 
    241315200*ln2^3*sinf*z2^2 - 86436000*ln2^2*z2^3 - 
    338486400*ln2*sinf*z2^3 + 717926256*z2^4 + 3032064000*li5half*z3 + 
    677376000*li4half*ln2*z3 + 2956800*ln2^5*z3 + 14532000*ln2^3*z2*z3 + 
    84672000*ln2^2*sinf*z2*z3 + 1063918800*ln2*z2^2*z3 - 
    597945600*sinf*z2^2*z3 - 1362564000*ln2^2*z3^2 - 
    1865304000*ln2*sinf*z3^2 + 1129716000*z2*z3^2 - 2857239000*ln2^3*z5 - 
    3718512000*ln2^2*sinf*z5 - 3216465000*ln2*z2*z5 - 6373584000*sinf*z2*z5 - 
    1985886000*z3*z5 + 12893981625*ln2*z7 + 17071362000*sinf*z7)/56448000, 
 H[1, -1, 0, -1, 1, 0, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    4872000*ln2^2*s6 - 26464200*s8a - 118608000*s8b - 18480000*s8c - 
    14448000*s8d - 18816000*ln2*s6*sinf - 9408000*s7a*sinf - 
    23520000*s7b*sinf - 112896000*li6half*z2 - 4704000*li4half*ln2^2*z2 - 
    352800*ln2^6*z2 + 5376000*s6*z2 + 75264000*li5half*sinf*z2 + 
    18816000*li4half*ln2*sinf*z2 + 156800*ln2^5*sinf*z2 - 
    7123200*li4half*z2^2 + 1467200*ln2^4*z2^2 + 1568000*ln2^3*sinf*z2^2 + 
    13259400*ln2^2*z2^3 + 8072400*ln2*sinf*z2^3 + 13168158*z2^4 - 
    55776000*li5half*z3 + 464800*ln2^5*z3 - 30576000*li4half*sinf*z3 - 
    1274000*ln2^4*sinf*z3 - 2002000*ln2^3*z2*z3 + 12936000*ln2^2*sinf*z2*z3 - 
    489300*ln2*z2^2*z3 + 19815600*sinf*z2^2*z3 + 14285250*ln2^2*z3^2 + 
    2352000*ln2*sinf*z3^2 + 18674250*z2*z3^2 + 15190000*ln2^3*z5 + 
    36456000*ln2^2*sinf*z5 + 9870000*ln2*z2*z5 - 27783000*sinf*z2*z5 + 
    87559500*z3*z5 - 101889375*sinf*z7)/4704000, 
 H[1, -1, 0, -1, 1, 0, 0, 0, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 - 
    2822400*ln2^2*s6 + 6307875*s8a + 36086400*s8b + 4032000*s8c + 
    5644800*s8d + 460800*ln2*s6*sinf - 2073600*s7a*sinf + 4377600*s7b*sinf + 
    806400*li4half*ln2^2*z2 + 33600*ln2^6*z2 - 16934400*s6*z2 + 
    2096640*li4half*z2^2 - 13440*ln2^4*z2^2 + 1362480*ln2^2*z2^3 + 
    1188480*ln2*sinf*z2^3 - 825348*z2^4 - 4838400*li5half*z3 + 
    40320*ln2^5*z3 + 1209600*li4half*sinf*z3 + 50400*ln2^4*sinf*z3 - 
    403200*ln2^3*z2*z3 - 302400*ln2^2*sinf*z2*z3 - 3500280*ln2*z2^2*z3 - 
    1608840*sinf*z2^2*z3 - 415800*ln2^2*z3^2 - 2289600*ln2*sinf*z3^2 - 
    4038300*z2*z3^2 - 6249600*ln2^2*sinf*z5 - 9468900*ln2*z2*z5 - 
    12185100*sinf*z2*z5 + 7474950*z3*z5 + 20233350*sinf*z7)/403200, 
 H[1, -1, 0, -1, 1, 0, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    10080000*ln2^2*s6 - 36288000*ln2*s7a + 62496000*ln2*s7b - 31896900*s8a - 
    313488000*s8b + 8064000*s8c - 92736000*s8d - 20160000*ln2*s6*sinf - 
    64512000*s7a*sinf + 76608000*s7b*sinf - 169344000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 823200*ln2^6*z2 + 189000000*s6*z2 + 
    112896000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 - 41126400*li4half*z2^2 + 1814400*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 + 30025800*ln2^2*z2^3 + 51181200*ln2*sinf*z2^3 + 
    62623836*z2^4 + 192528000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    453600*ln2^5*z3 - 56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 - 
    4242000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 + 26252100*ln2*z2^2*z3 - 
    1738800*sinf*z2^2*z3 - 49801500*ln2^2*z3^2 - 59472000*ln2*sinf*z3^2 + 
    34744500*z2*z3^2 - 95697000*ln2^3*z5 - 136710000*ln2^2*sinf*z5 - 
    210861000*ln2*z2*z5 - 341239500*sinf*z2*z5 - 256764375*z3*z5 + 
    118424250*ln2*z7 + 352319625*sinf*z7)/14112000, 
 H[1, -1, 0, -1, 1, 0, -1, 1, 1] -> 
  (225792000*li4half^2 + 4515840000*li8half - 2032128000*li6half*ln2^2 - 
    602112000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 2699200*ln2^8 - 
    1256976000*ln2^2*s6 + 504820575*s8a + 5776344000*s8b + 227808000*s8c + 
    590688000*s8d - 2709504000*li6half*ln2*sinf - 903168000*li5half*ln2^2*
     sinf + 3763200*ln2^7*sinf - 1503936000*ln2*s6*sinf + 36288000*s7a*sinf - 
    499968000*s7b*sinf + 2032128000*li6half*z2 + 620928000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 15680000*ln2^6*z2 - 447552000*s6*z2 + 
    903168000*li5half*sinf*z2 + 451584000*li4half*ln2*sinf*z2 - 
    7526400*ln2^5*sinf*z2 + 242323200*li4half*z2^2 + 126050400*ln2^4*z2^2 + 
    175459200*ln2^3*sinf*z2^2 - 89157600*ln2^2*z2^3 + 
    272361600*ln2*sinf*z2^3 - 605418768*z2^4 - 3058272000*li5half*z3 - 
    592704000*li4half*ln2*z3 + 789600*ln2^5*z3 - 451584000*li4half*sinf*z3 - 
    18816000*ln2^4*sinf*z3 + 46788000*ln2^3*z2*z3 + 
    197568000*ln2^2*sinf*z2*z3 - 960964200*ln2*z2^2*z3 + 
    327196800*sinf*z2^2*z3 + 484816500*ln2^2*z3^2 + 623952000*ln2*sinf*z3^2 - 
    867415500*z2*z3^2 + 802032000*ln2^3*z5 + 1722546000*ln2^2*sinf*z5 - 
    1710954000*ln2*z2*z5 + 282366000*sinf*z2*z5 + 1935619875*z3*z5 - 
    2184840000*sinf*z7)/56448000, H[1, -1, 0, -1, 1, 0, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    64512000*ln2^2*s6 + 133002450*s8a + 621936000*s8b + 129024000*s8c + 
    40320000*s8d + 112896000*s7b*sinf - 846720000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 117600*ln2^6*z2 - 
    690984000*s6*z2 - 112896000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 2116800*ln2^5*sinf*z2 - 100598400*li4half*z2^2 - 
    11247600*ln2^4*z2^2 - 16464000*ln2^3*sinf*z2^2 + 76175400*ln2^2*z2^3 - 
    12658800*ln2*sinf*z2^3 + 135596472*z2^4 - 10080000*li5half*z3 + 
    148176000*li4half*ln2*z3 + 6258000*ln2^5*z3 + 70560000*li4half*sinf*z3 + 
    2940000*ln2^4*sinf*z3 - 22008000*ln2^3*z2*z3 + 
    14112000*ln2^2*sinf*z2*z3 - 126548100*ln2*z2^2*z3 - 
    59358600*sinf*z2^2*z3 - 8001000*ln2^2*z3^2 - 35280000*ln2*sinf*z3^2 + 
    116455500*z2*z3^2 - 109368000*ln2^2*sinf*z5 + 153373500*ln2*z2*z5 - 
    155011500*sinf*z2*z5 - 85813875*z3*z5 + 499542750*sinf*z7)/14112000, 
 H[1, -1, 0, -1, 1, 0, -1, -1, 1] -> 
  (64512000*li4half^2 + 645120000*li8half + 774144000*li7half*ln2 + 
    290304000*li6half*ln2^2 + 43008000*li5half*ln2^3 + 
    5376000*li4half*ln2^4 + 19200*ln2^8 - 122832000*ln2^2*s6 + 
    200448000*ln2*s7a - 168480000*ln2*s7b + 209715975*s8a + 1375416000*s8b + 
    163296000*s8c + 98784000*s8d + 774144000*li7half*sinf + 
    387072000*li6half*ln2*sinf + 64512000*li5half*ln2^2*sinf - 
    153600*ln2^7*sinf + 32832000*ln2*s6*sinf + 168768000*s7a*sinf - 
    188064000*s7b*sinf - 193536000*li6half*z2 - 64512000*li5half*ln2*z2 - 
    24192000*li4half*ln2^2*z2 - 425600*ln2^6*z2 - 429408000*s6*z2 + 
    16128000*li4half*ln2*sinf*z2 + 1209600*ln2^5*sinf*z2 - 
    26208000*li4half*z2^2 - 420000*ln2^4*z2^2 - 4032000*ln2^3*sinf*z2^2 + 
    49046400*ln2^2*z2^3 + 14695200*ln2*sinf*z2^3 + 13746096*z2^4 - 
    167328000*li5half*z3 + 84672000*li4half*ln2*z3 + 4922400*ln2^5*z3 - 
    12096000*li4half*sinf*z3 - 504000*ln2^4*sinf*z3 - 35868000*ln2^3*z2*z3 + 
    1512000*ln2^2*sinf*z2*z3 - 131653800*ln2*z2^2*z3 + 
    59940000*sinf*z2^2*z3 + 123961500*ln2^2*z3^2 + 105750000*ln2*sinf*z3^2 - 
    116203500*z2*z3^2 + 304017000*ln2^3*z5 + 265608000*ln2^2*sinf*z5 + 
    96624000*ln2*z2*z5 + 563589000*sinf*z2*z5 - 2748375*z3*z5 - 
    1615845375*ln2*z7 - 1633888125*sinf*z7)/8064000, 
 H[1, -1, 0, -1, 1, -1, 1, 1, 1] -> 
  (-13547520*li4half^2 - 593832960*li8half - 9031680*li6half*ln2^2 - 
    3010560*li5half*ln2^3 - 1128960*li4half*ln2^4 - 25704*ln2^8 + 
    56367360*ln2^2*s6 - 196872795*s8a - 1290179520*s8b - 121201920*s8c - 
    135636480*s8d + 92574720*li7half*sinf - 18063360*li6half*ln2*sinf - 
    3386880*li5half*ln2^2*sinf - 15232*ln2^7*sinf - 29352960*ln2*s6*sinf + 
    20885760*s7a*sinf - 9031680*s7b*sinf + 9031680*li6half*z2 + 
    9031680*li5half*ln2*z2 + 5080320*li4half*ln2^2*z2 + 4704*ln2^6*z2 + 
    403925760*s6*z2 + 3386880*li5half*sinf*z2 - 3386880*li4half*ln2*sinf*z2 - 
    677376*ln2^5*sinf*z2 - 16966656*li4half*z2^2 + 5368272*ln2^4*z2^2 + 
    6839616*ln2^3*sinf*z2^2 - 3588480*ln2^2*z2^3 + 15527232*ln2*sinf*z2^3 + 
    47039904*z2^4 + 255467520*li5half*z3 - 17781120*li4half*ln2*z3 - 
    2919168*ln2^5*z3 + 1693440*li4half*sinf*z3 + 70560*ln2^4*sinf*z3 + 
    21359520*ln2^3*z2*z3 - 10160640*ln2^2*sinf*z2*z3 + 
    157343256*ln2*z2^2*z3 + 197568*sinf*z2^2*z3 + 8506260*ln2^2*z3^2 + 
    26071920*ln2*sinf*z3^2 + 150392340*z2*z3^2 - 1458240*ln2^3*z5 + 
    27342000*ln2^2*sinf*z5 + 367980480*ln2*z2*z5 + 29106000*sinf*z2*z5 - 
    223839315*z3*z5 - 125164620*sinf*z7)/2257920, 
 H[1, -1, 0, -1, 1, -1, 1, 0, 1] -> 
  (645120000*li8half - 16128000*li6half*ln2^2 - 6400*ln2^8 - 
    68544000*ln2^2*s6 + 194829075*s8a + 1272096000*s8b + 129024000*s8c + 
    114912000*s8d - 258048000*li7half*sinf - 32256000*li6half*ln2*sinf + 
    6400*ln2^7*sinf + 38592000*ln2*s6*sinf - 46656000*s7a*sinf + 
    54144000*s7b*sinf - 28224000*li6half*z2 - 2016000*li5half*ln2*z2 - 
    134400*ln2^6*z2 - 367920000*s6*z2 - 403200*ln2^5*sinf*z2 + 
    22982400*li4half*z2^2 - 1831200*ln2^4*z2^2 - 5880000*ln2^3*sinf*z2^2 + 
    709200*ln2^2*z2^3 - 20836800*ln2*sinf*z2^3 - 39671568*z2^4 - 
    225792000*li5half*z3 + 1881600*ln2^5*z3 - 17745000*ln2^3*z2*z3 + 
    3024000*ln2^2*sinf*z2*z3 - 151489800*ln2*z2^2*z3 - 
    14886000*sinf*z2^2*z3 - 13041000*ln2^2*z3^2 - 53406000*ln2*sinf*z3^2 - 
    141624000*z2*z3^2 - 97650000*ln2^2*sinf*z5 - 391072500*ln2*z2*z5 - 
    163206000*sinf*z2*z5 + 144246375*z3*z5 + 505737000*sinf*z7)/2016000, 
 H[1, -1, 0, -1, 1, -1, 1, -1, 1] -> 
  (8692992000*li8half + 366912000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 + 182000*ln2^8 - 1005984000*ln2^2*s6 + 
    59472000*ln2*s7a - 74592000*ln2*s7b + 2982843675*s8a + 18709992000*s8b + 
    2062368000*s8c + 1649088000*s8d - 903168000*li7half*sinf + 
    169344000*li6half*ln2*sinf + 414400*ln2^7*sinf + 282240000*ln2*s6*sinf - 
    112896000*s7a*sinf + 112896000*s7b*sinf - 84672000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 1685600*ln2^6*z2 - 5238576000*s6*z2 + 
    6820800*ln2^5*sinf*z2 + 329817600*li4half*z2^2 - 68812800*ln2^4*z2^2 - 
    64680000*ln2^3*sinf*z2^2 + 65973600*ln2^2*z2^3 - 
    135172800*ln2*sinf*z2^3 - 544619232*z2^4 - 3284064000*li5half*z3 + 
    27984600*ln2^5*z3 - 269262000*ln2^3*z2*z3 + 21168000*ln2^2*sinf*z2*z3 - 
    2312352000*ln2*z2^2*z3 - 29988000*sinf*z2^2*z3 - 233541000*ln2^2*z3^2 - 
    195363000*ln2*sinf*z3^2 - 2231208000*z2*z3^2 + 134431500*ln2^3*z5 - 
    218736000*ln2^2*sinf*z5 - 5977471500*ln2*z2*z5 - 338688000*sinf*z2*z5 + 
    2378604375*z3*z5 - 613312875*ln2*z7 + 1398852000*sinf*z7)/28224000, 
 H[1, -1, 0, -1, 1, -1, 0, 1, 1] -> 
  (451584000*li4half^2 - 9031680000*li8half + 1354752000*li6half*ln2^2 + 
    301056000*li5half*ln2^3 + 37632000*li4half*ln2^4 - 67200*ln2^8 + 
    2355696000*ln2^2*s6 - 4245962175*s8a - 23230872000*s8b - 3525984000*s8c - 
    1356768000*s8d + 5419008000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    451584000*li5half*ln2^2*sinf - 1075200*ln2^7*sinf + 
    189504000*ln2*s6*sinf + 995904000*s7a*sinf - 1854720000*s7b*sinf - 
    3725568000*li6half*z2 - 1016064000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 627200*ln2^6*z2 + 3433248000*s6*z2 + 
    112896000*li4half*ln2*sinf*z2 + 8467200*ln2^5*sinf*z2 - 
    610041600*li4half*z2^2 - 28946400*ln2^4*z2^2 - 49392000*ln2^3*sinf*z2^2 - 
    122892000*ln2^2*z2^3 - 52147200*ln2*sinf*z2^3 + 700084032*z2^4 + 
    3461472000*li5half*z3 + 592704000*li4half*ln2*z3 - 4149600*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 + 
    253176000*ln2^3*z2*z3 + 289296000*ln2^2*sinf*z2*z3 + 
    3292216200*ln2*z2^2*z3 + 600264000*sinf*z2^2*z3 + 560227500*ln2^2*z3^2 + 
    892080000*ln2*sinf*z3^2 + 3819973500*z2*z3^2 - 145824000*ln2^3*z5 + 
    2542806000*ln2^2*sinf*z5 + 10960740000*ln2*z2*z5 + 
    5325642000*sinf*z2*z5 - 2290372875*z3*z5 - 14229432000*sinf*z7)/56448000, 
 H[1, -1, 0, -1, 1, -1, 0, 0, 1] -> (-98448000*ln2^2*s6 + 203713650*s8a + 
    954576000*s8b + 173376000*s8c + 80640000*s8d + 3360000*ln2*s6*sinf - 
    26880000*s7a*sinf + 57792000*s7b*sinf + 225792000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 156800*ln2^6*z2 - 177744000*s6*z2 + 
    18816000*li5half*sinf*z2 - 156800*ln2^5*sinf*z2 + 16128000*li4half*z2^2 - 
    4620000*ln2^4*z2^2 - 9016000*ln2^3*sinf*z2^2 + 40035800*ln2^2*z2^3 + 
    23690800*ln2*sinf*z2^3 - 18984076*z2^4 - 191856000*li5half*z3 + 
    1598800*ln2^5*z3 - 18634000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 - 
    168409500*ln2*z2^2*z3 - 18085200*sinf*z2^2*z3 - 27835500*ln2^2*z3^2 - 
    31248000*ln2*sinf*z3^2 - 202576500*z2*z3^2 - 82026000*ln2^2*sinf*z5 - 
    553644000*ln2*z2*z5 - 183582000*sinf*z2*z5 + 319756500*z3*z5 + 
    278893125*sinf*z7)/4704000, H[1, -1, 0, -1, 1, -1, 0, -1, 1] -> 
  (8064000*li4half^2 - 96768000*li7half*ln2 - 24192000*li6half*ln2^2 + 
    672000*li4half*ln2^4 - 400*ln2^8 - 2592000*ln2^2*s6 - 23112000*ln2*s7a + 
    30816000*ln2*s7b + 21590100*s8a + 88704000*s8b + 20160000*s8c + 
    4032000*s8d - 193536000*li7half*sinf - 48384000*li6half*ln2*sinf - 
    28800*ln2^7*sinf + 17712000*ln2*s6*sinf - 48960000*s7a*sinf + 
    63936000*s7b*sinf + 3024000*li6half*z2 - 1008000*li5half*ln2*z2 - 
    3024000*li4half*ln2^2*z2 - 12600*ln2^6*z2 - 14616000*s6*z2 + 
    4032000*li5half*sinf*z2 + 2016000*li4half*ln2*sinf*z2 + 
    252000*ln2^5*sinf*z2 - 5241600*li4half*z2^2 - 1827000*ln2^4*z2^2 - 
    3595200*ln2^3*sinf*z2^2 + 2983800*ln2^2*z2^3 - 4040400*ln2*sinf*z2^3 + 
    3255756*z2^4 - 12600000*li5half*z3 + 10584000*li4half*ln2*z3 + 
    546000*ln2^5*z3 - 1008000*li4half*sinf*z3 - 42000*ln2^4*sinf*z3 - 
    3727500*ln2^3*z2*z3 + 630000*ln2^2*sinf*z2*z3 - 27728100*ln2*z2^2*z3 - 
    17940600*sinf*z2^2*z3 - 25472250*ln2^2*z3^2 - 49356000*ln2*sinf*z3^2 - 
    21601125*z2*z3^2 - 52242750*ln2^3*z5 - 109368000*ln2^2*sinf*z5 - 
    153175500*ln2*z2*z5 - 195183000*sinf*z2*z5 + 32610375*z3*z5 + 
    233721000*ln2*z7 + 491692500*sinf*z7)/1008000, 
 H[1, -1, 0, -1, 1, -1, -1, 1, 1] -> 
  (254016000*li4half^2 + 7225344000*li8half - 338688000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 + 42336000*li4half*ln2^4 + 1345400*ln2^8 - 
    885024000*ln2^2*s6 + 2242685025*s8a + 16214184000*s8b + 1191456000*s8c + 
    1997856000*s8d - 508032000*li7half*sinf - 338688000*li6half*ln2*sinf - 
    84672000*li5half*ln2^2*sinf + 28224000*li4half*ln2^3*sinf + 
    1512000*ln2^7*sinf - 88704000*ln2*s6*sinf - 151200000*s7a*sinf - 
    278208000*s7b*sinf + 338688000*li6half*z2 + 169344000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 5566400*ln2^6*z2 - 5301072000*s6*z2 + 
    84672000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    7761600*ln2^5*sinf*z2 + 297964800*li4half*z2^2 - 29744400*ln2^4*z2^2 - 
    36691200*ln2^3*sinf*z2^2 + 104227200*ln2^2*z2^3 - 
    156139200*ln2*sinf*z2^3 - 761033016*z2^4 - 4306176000*li5half*z3 + 
    37119600*ln2^5*z3 - 127008000*li4half*sinf*z3 - 5292000*ln2^4*sinf*z3 - 
    260064000*ln2^3*z2*z3 + 254016000*ln2^2*sinf*z2*z3 - 
    2044110600*ln2*z2^2*z3 + 164656800*sinf*z2^2*z3 + 181723500*ln2^2*z3^2 - 
    24948000*ln2*sinf*z3^2 - 1909876500*z2*z3^2 + 255192000*ln2^3*z5 + 
    492156000*ln2^2*sinf*z5 - 4312602000*ln2*z2*z5 + 452088000*sinf*z2*z5 + 
    4169867625*z3*z5 - 747447750*sinf*z7)/56448000, 
 H[1, -1, 0, -1, 1, -1, -1, 0, 1] -> 
  (282240000*li4half^2 - 13547520000*li8half + 338688000*li6half*ln2^2 + 
    23520000*li4half*ln2^4 + 624400*ln2^8 + 1491840000*ln2^2*s6 - 
    4336575075*s8a - 27764856000*s8b - 2800224000*s8c - 2618784000*s8d + 
    5419008000*li7half*sinf + 677376000*li6half*ln2*sinf - 
    134400*ln2^7*sinf - 897120000*ln2*s6*sinf + 1080576000*s7a*sinf - 
    1050336000*s7b*sinf + 169344000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 2469600*ln2^6*z2 + 7728336000*s6*z2 + 
    56448000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 + 
    12700800*ln2^5*sinf*z2 - 726969600*li4half*z2^2 + 29450400*ln2^4*z2^2 + 
    110544000*ln2^3*sinf*z2^2 + 18144000*ln2^2*z2^3 + 
    409298400*ln2*sinf*z2^3 + 991992528*z2^4 + 5040000000*li5half*z3 + 
    148176000*li4half*ln2*z3 - 35826000*ln2^5*z3 - 35280000*li4half*sinf*z3 - 
    1470000*ln2^4*sinf*z3 + 390012000*ln2^3*z2*z3 - 
    1764000*ln2^2*sinf*z2*z3 + 3279439800*ln2*z2^2*z3 + 
    294915600*sinf*z2^2*z3 + 274270500*ln2^2*z3^2 + 
    1130220000*ln2*sinf*z3^2 + 3501004500*z2*z3^2 + 
    2064321000*ln2^2*sinf*z5 + 8881803000*ln2*z2*z5 + 3303216000*sinf*z2*z5 - 
    4385737125*z3*z5 - 10355412375*sinf*z7)/56448000, 
 H[1, -1, 0, -1, 1, -1, -1, -1, 1] -> 
  (366912000*li4half^2 - 9765504000*li8half - 508032000*li7half*ln2 + 
    282240000*li6half*ln2^2 + 56448000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 - 464800*ln2^8 + 1041264000*ln2^2*s6 + 
    114912000*ln2*s7a + 227808000*ln2*s7b - 2995186950*s8a - 
    19078416000*s8b - 1959552000*s8c - 1751904000*s8d + 
    225792000*li7half*sinf + 225792000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    1848000*ln2^7*sinf + 102816000*ln2*s6*sinf - 88704000*s7a*sinf + 
    278208000*s7b*sinf - 112896000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 + 5352480000*s6*z2 + 
    112896000*li4half*ln2*sinf*z2 + 3292800*ln2^5*sinf*z2 - 
    621331200*li4half*z2^2 + 27619200*ln2^4*z2^2 - 24931200*ln2^3*sinf*z2^2 + 
    7610400*ln2^2*z2^3 + 77716800*ln2*sinf*z2^3 + 782405208*z2^4 + 
    3532032000*li5half*z3 + 423360000*li4half*ln2*z3 - 13028400*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 + 
    200844000*ln2^3*z2*z3 + 14112000*ln2^2*sinf*z2*z3 + 
    2191694400*ln2*z2^2*z3 - 51408000*sinf*z2^2*z3 + 146223000*ln2^2*z3^2 - 
    252000000*ln2*sinf*z3^2 + 2253762000*z2*z3^2 - 227850000*ln2^3*z5 - 
    519498000*ln2^2*sinf*z5 + 5369994000*ln2*z2*z5 - 828702000*sinf*z2*z5 - 
    2585346750*z3*z5 + 1162499625*ln2*z7 + 1163751750*sinf*z7)/56448000, 
 H[1, -1, 0, -1, 0, 1, 1, 1, 1] -> (7660800*li4half^2 + 3225600*li8half - 
    1612800*li6half*ln2^2 - 1075200*li5half*ln2^3 + 235200*li4half*ln2^4 + 
    3300*ln2^8 + 1209600*ln2^2*s6 - 2001825*s8a + 4132800*s8b - 3225600*s8c + 
    4032000*s8d - 3225600*li7half*sinf - 3225600*li6half*ln2*sinf - 
    1612800*li5half*ln2^2*sinf - 537600*li4half*ln2^3*sinf - 
    12800*ln2^7*sinf + 2016000*ln2*s6*sinf - 2822400*s7a*sinf - 
    2016000*s7b*sinf + 1612800*li6half*z2 + 3225600*li5half*ln2*z2 - 
    806400*li4half*ln2^2*z2 - 15680*ln2^6*z2 - 8064000*s6*z2 + 
    1612800*li5half*sinf*z2 + 2822400*li4half*ln2*sinf*z2 + 
    157920*ln2^5*sinf*z2 + 302400*li4half*z2^2 - 29400*ln2^4*z2^2 - 
    571200*ln2^3*sinf*z2^2 - 17520*ln2^2*z2^3 - 720480*ln2*sinf*z2^3 - 
    1661232*z2^4 - 13708800*li5half*z3 + 2116800*li4half*ln2*z3 + 
    108360*ln2^5*z3 - 3528000*li4half*sinf*z3 - 264600*ln2^4*sinf*z3 - 
    201600*ln2^3*z2*z3 + 2646000*ln2^2*sinf*z2*z3 + 1262520*ln2*z2^2*z3 + 
    2930760*sinf*z2^2*z3 + 1723050*ln2^2*z3^2 - 2841300*ln2*sinf*z3^2 + 
    595350*z2*z3^2 + 520800*ln2^3*z5 + 8114400*ln2*z2*z5 + 
    5115600*sinf*z2*z5 + 6238575*z3*z5 - 14614425*sinf*z7)/806400, 
 H[1, -1, 0, -1, 0, 1, 1, 0, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 - 
    9072000*ln2^2*s6 + 53222400*s8a - 8568000*s8b + 18144000*s8c - 
    18144000*s8d - 18144000*ln2*s6*sinf + 18144000*s7a*sinf + 
    18144000*s7b*sinf - 56448000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 39200*ln2^6*z2 + 22176000*s6*z2 - 
    28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 - 10684800*li4half*z2^2 + 2494800*ln2^4*z2^2 + 
    4704000*ln2^3*sinf*z2^2 + 3750600*ln2^2*z2^3 + 6241200*ln2*sinf*z2^3 - 
    6342636*z2^4 + 128016000*li5half*z3 - 1066800*ln2^5*z3 + 
    56448000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 - 9912000*ln2^3*z2*z3 - 
    26460000*ln2^2*sinf*z2*z3 - 29288700*ln2*z2^2*z3 - 
    43407000*sinf*z2^2*z3 + 3181500*ln2^2*z3^2 + 34146000*ln2*sinf*z3^2 - 
    31248000*z2*z3^2 + 13702500*ln2*z2*z5 - 30586500*sinf*z2*z5 + 
    119818125*z3*z5 + 174958875*sinf*z7)/14112000, 
 H[1, -1, 0, -1, 0, 1, 1, -1, 1] -> 
  (-56448000*li4half^2 + 1016064000*li8half + 677376000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 9408000*li4half*ln2^4 + 459200*ln2^8 - 
    182448000*ln2^2*s6 + 215712000*ln2*s7a + 4032000*ln2*s7b + 22683150*s8a + 
    573552000*s8b - 108864000*s8c + 151200000*s8d + 790272000*li7half*sinf + 
    112896000*li6half*ln2*sinf + 18816000*li4half*ln2^3*sinf + 
    784000*ln2^7*sinf - 187488000*ln2*s6*sinf + 145152000*s7a*sinf - 
    207648000*s7b*sinf - 56448000*li6half*z2 + 14112000*li4half*ln2^2*z2 - 
    2077600*ln2^6*z2 - 302400000*s6*z2 - 84672000*li4half*ln2*sinf*z2 - 
    7291200*ln2^5*sinf*z2 + 38707200*li4half*z2^2 + 14784000*ln2^4*z2^2 + 
    45158400*ln2^3*sinf*z2^2 + 29038800*ln2^2*z2^3 + 65788800*ln2*sinf*z2^3 - 
    142265136*z2^4 - 302400000*li5half*z3 + 176400000*li4half*ln2*z3 + 
    13162800*ln2^5*z3 + 42336000*li4half*sinf*z3 + 5880000*ln2^4*sinf*z3 - 
    33432000*ln2^3*z2*z3 - 14112000*ln2^2*sinf*z2*z3 - 
    240143400*ln2*z2^2*z3 + 33768000*sinf*z2^2*z3 + 320118750*ln2^2*z3^2 + 
    251779500*ln2*sinf*z3^2 + 23987250*z2*z3^2 + 205065000*ln2^3*z5 + 
    341775000*ln2^2*sinf*z5 + 321363000*ln2*z2*z5 + 620991000*sinf*z2*z5 + 
    220200750*z3*z5 - 62574750*ln2*z7 - 1742398875*sinf*z7)/28224000, 
 H[1, -1, 0, -1, 0, 1, 0, 1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 - 
    7176960*ln2^2*s6 + 3903795*s8a + 3366720*s8b + 14353920*s8c - 
    14353920*s8d - 7580160*ln2*s6*sinf + 7580160*s7a*sinf + 
    7580160*s7b*sinf + 4515840*li6half*z2 + 5644800*li4half*ln2^2*z2 + 
    241472*ln2^6*z2 + 29836800*s6*z2 - 4515840*li5half*sinf*z2 - 
    11289600*li4half*ln2*sinf*z2 - 432768*ln2^5*sinf*z2 + 
    11805696*li4half*z2^2 + 397824*ln2^4*z2^2 + 2446080*ln2^3*sinf*z2^2 - 
    2502864*ln2^2*z2^3 + 2941344*ln2*sinf*z2^3 + 5962428*z2^4 + 
    37739520*li5half*z3 - 11854080*li4half*ln2*z3 - 808416*ln2^5*z3 + 
    6773760*li4half*sinf*z3 + 282240*ln2^4*sinf*z3 + 1827840*ln2^3*z2*z3 - 
    9596160*ln2^2*sinf*z2*z3 + 4371696*ln2*z2^2*z3 - 5396832*sinf*z2^2*z3 - 
    8439480*ln2^2*z3^2 + 7005600*ln2*sinf*z3^2 - 7299180*z2*z3^2 - 
    43061760*ln2*z2*z5 - 21102480*sinf*z2*z5 - 49661325*z3*z5 + 
    54786060*sinf*z7)/1128960, H[1, -1, 0, -1, 0, 1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    18144000*ln2^2*s6 - 20659275*s8a - 67536000*s8b - 36288000*s8c + 
    36288000*s8d + 36288000*ln2*s6*sinf - 36288000*s7a*sinf - 
    36288000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    72576000*s6*z2 + 63705600*li4half*z2^2 + 6182400*ln2^4*z2^2 - 
    10659600*ln2^2*z2^3 + 2368800*ln2*sinf*z2^3 - 42449724*z2^4 - 
    129024000*li5half*z3 + 1075200*ln2^5*z3 - 42336000*li4half*sinf*z3 - 
    1764000*ln2^4*sinf*z3 - 10752000*ln2^3*z2*z3 + 
    10584000*ln2^2*sinf*z2*z3 + 78069600*ln2*z2^2*z3 + 
    48182400*sinf*z2^2*z3 + 6426000*ln2^2*z3^2 - 42714000*ln2*sinf*z3^2 + 
    17955000*z2*z3^2 + 151200000*ln2*z2*z5 + 120708000*sinf*z2*z5 + 
    89735625*z3*z5 - 325717875*sinf*z7)/14112000, 
 H[1, -1, 0, -1, 0, 1, 0, -1, 1] -> 
  (-9031680*li4half^2 - 752640*li4half*ln2^4 - 15680*ln2^8 + 
    2822400*ln2^2*s6 - 7499520*ln2*s7a - 7499520*ln2*s7b + 3705660*s8a + 
    4112640*s8b + 9354240*s8c - 9354240*s8d - 2257920*ln2*s6*sinf + 
    2257920*s7a*sinf + 2257920*s7b*sinf + 1128960*li6half*z2 + 
    3951360*li4half*ln2^2*z2 + 166208*ln2^6*z2 + 18990720*s6*z2 - 
    1128960*li5half*sinf*z2 - 1128960*li4half*ln2*sinf*z2 - 
    37632*ln2^5*sinf*z2 + 5523840*li4half*z2^2 - 216720*ln2^4*z2^2 + 
    188160*ln2^3*sinf*z2^2 - 2925720*ln2^2*z2^3 + 398160*ln2*sinf*z2^3 + 
    4341600*z2^4 + 20119680*li5half*z3 - 13829760*li4half*ln2*z3 - 
    743904*ln2^5*z3 + 564480*li4half*sinf*z3 + 23520*ln2^4*sinf*z3 + 
    4804800*ln2^3*z2*z3 - 635040*ln2^2*sinf*z2*z3 + 10504620*ln2*z2^2*z3 - 
    603288*sinf*z2^2*z3 - 12171600*ln2^2*z3^2 - 141120*ln2*sinf*z3^2 - 
    5641965*z2*z3^2 - 6032880*ln2*z2*z5 - 6341580*sinf*z2*z5 - 
    27200565*z3*z5 - 61442010*ln2*z7 + 14641200*sinf*z7)/564480, 
 H[1, -1, 0, -1, 0, 1, -1, 1, 1] -> 
  (-677376000*li4half^2 - 1354752000*li8half + 790272000*li6half*ln2^2 + 
    225792000*li5half*ln2^3 - 56448000*li4half*ln2^4 - 1993600*ln2^8 - 
    349776000*ln2^2*s6 + 949074525*s8a + 3083976000*s8b + 1376928000*s8c - 
    445536000*s8d - 677376000*li7half*sinf + 903168000*li6half*ln2*sinf + 
    338688000*li5half*ln2^2*sinf - 1433600*ln2^7*sinf + 
    572544000*ln2*s6*sinf - 64512000*s7a*sinf + 641088000*s7b*sinf - 
    790272000*li6half*z2 - 677376000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 + 3136000*ln2^6*z2 + 86688000*s6*z2 - 
    338688000*li5half*sinf*z2 - 225792000*li4half*ln2*sinf*z2 + 
    272160000*li4half*z2^2 - 6064800*ln2^4*z2^2 - 67737600*ln2^3*sinf*z2^2 + 
    120372000*ln2^2*z2^3 - 96532800*ln2*sinf*z2^3 + 612747984*z2^4 + 
    2076480000*li5half*z3 - 10718400*ln2^5*z3 + 141120000*li4half*sinf*z3 + 
    14112000*ln2^4*sinf*z3 - 252672000*ln2^3*z2*z3 - 
    338688000*ln2^2*sinf*z2*z3 - 364455000*ln2*z2^2*z3 - 
    274629600*sinf*z2^2*z3 - 479178000*ln2^2*z3^2 - 338184000*ln2*sinf*z3^2 - 
    829395000*z2*z3^2 - 164052000*ln2^3*z5 - 929628000*ln2^2*sinf*z5 - 
    3638628000*ln2*z2*z5 - 1659168000*sinf*z2*z5 - 1566313875*z3*z5 + 
    4323138750*sinf*z7)/56448000, H[1, -1, 0, -1, 0, 1, -1, 0, 1] -> 
  (159264000*ln2^2*s6 - 210300300*s8a - 737856000*s8b - 318528000*s8c + 
    149184000*s8d - 20160000*ln2*s6*sinf + 20160000*s7a*sinf - 
    92736000*s7b*sinf + 310464000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 862400*ln2^6*z2 - 79632000*s6*z2 + 
    28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    1411200*ln2^5*sinf*z2 + 67939200*li4half*z2^2 + 6946800*ln2^4*z2^2 + 
    9408000*ln2^3*sinf*z2^2 - 50799000*ln2^2*z2^3 + 1470000*ln2*sinf*z2^3 - 
    183399288*z2^4 - 390096000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    2923200*ln2^5*z3 + 14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 
    25116000*ln2^3*z2*z3 + 8820000*ln2^2*sinf*z2*z3 + 175927500*ln2*z2^2*z3 + 
    27896400*sinf*z2^2*z3 + 48321000*ln2^2*z3^2 + 32256000*ln2*sinf*z3^2 + 
    188236125*z2*z3^2 + 109368000*ln2^2*sinf*z5 + 989982000*ln2*z2*z5 + 
    287406000*sinf*z2*z5 + 370818000*z3*z5 - 571575375*sinf*z7)/14112000, 
 H[1, -1, 0, -1, 0, 1, -1, -1, 1] -> 
  (-903168000*li4half^2 - 903168000*li8half - 1354752000*li7half*ln2 - 
    790272000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    75264000*li4half*ln2^4 - 1164800*ln2^8 + 549360000*ln2^2*s6 - 
    508032000*ln2*s7a - 211680000*ln2*s7b - 753749325*s8a - 3170664000*s8b - 
    562464000*s8c - 256032000*s8d - 677376000*li7half*sinf - 
    903168000*li6half*ln2*sinf - 225792000*li5half*ln2^2*sinf + 
    761600*ln2^7*sinf - 544320000*ln2*s6*sinf + 233856000*s7a*sinf + 
    50400000*s7b*sinf + 451584000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    536256000*li4half*ln2^2*z2 + 19992000*ln2^6*z2 + 1076544000*s6*z2 - 
    169344000*li4half*ln2*sinf*z2 - 9878400*ln2^5*sinf*z2 + 
    654393600*li4half*z2^2 - 16951200*ln2^4*z2^2 + 90316800*ln2^3*sinf*z2^2 - 
    394749600*ln2^2*z2^3 + 41042400*ln2*sinf*z2^3 - 61614192*z2^4 + 
    455616000*li5half*z3 - 1481760000*li4half*ln2*z3 - 72122400*ln2^5*z3 + 
    84672000*li4half*sinf*z3 - 4704000*ln2^4*sinf*z3 + 
    585396000*ln2^3*z2*z3 + 17640000*ln2^2*sinf*z2*z3 + 
    1164832200*ln2*z2^2*z3 - 35834400*sinf*z2^2*z3 - 643923000*ln2^2*z3^2 + 
    191772000*ln2*sinf*z3^2 + 615226500*z2*z3^2 - 241521000*ln2^3*z5 + 
    246078000*ln2^2*sinf*z5 + 2231586000*ln2*z2*z5 - 142317000*sinf*z2*z5 - 
    1403742375*z3*z5 - 1208395125*ln2*z7 + 1115989875*sinf*z7)/56448000, 
 H[1, -1, 0, -1, 0, 0, 1, 1, 1] -> 
  (98784000*li4half^2 + 8232000*li4half*ln2^4 + 171500*ln2^8 + 
    504000*ln2^2*s6 - 6172425*s8a + 87696000*s8b - 36288000*s8c + 
    71568000*s8d - 6048000*ln2*s6*sinf - 29232000*s7a*sinf + 
    6048000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    143136000*s6*z2 + 42336000*li4half*ln2*sinf*z2 + 1764000*ln2^5*sinf*z2 - 
    110577600*li4half*z2^2 - 3725400*ln2^4*z2^2 - 10584000*ln2^3*sinf*z2^2 + 
    33180000*ln2^2*z2^3 - 3796800*ln2*sinf*z2^3 - 13532388*z2^4 - 
    199584000*li5half*z3 + 74088000*li4half*ln2*z3 + 4750200*ln2^5*z3 + 
    31752000*li4half*sinf*z3 + 1323000*ln2^4*sinf*z3 - 16632000*ln2^3*z2*z3 + 
    29106000*ln2^2*sinf*z2*z3 - 66490200*ln2*z2^2*z3 - 
    12234600*sinf*z2^2*z3 + 50856750*ln2^2*z3^2 - 9859500*ln2*sinf*z3^2 - 
    31326750*z2*z3^2 + 22785000*ln2^3*z5 + 40509000*ln2*z2*z5 - 
    53046000*sinf*z2*z5 + 415855125*z3*z5 + 57786750*sinf*z7)/14112000, 
 H[1, -1, 0, -1, 0, 0, 1, 0, 1] -> (6720000*ln2^2*s6 - 982275*s8a + 
    35616000*s8b - 13440000*s8c + 13440000*s8d + 13440000*ln2*s6*sinf - 
    13440000*s7a*sinf - 13440000*s7b*sinf - 38640000*s6*z2 - 
    6720000*li4half*z2^2 - 280000*ln2^4*z2^2 - 529200*ln2^2*z2^3 - 
    7442400*ln2*sinf*z2^3 + 318856*z2^4 + 10752000*li5half*z3 - 
    89600*ln2^5*z3 - 37632000*li4half*sinf*z3 - 1568000*ln2^4*sinf*z3 + 
    896000*ln2^3*z2*z3 + 9408000*ln2^2*sinf*z2*z3 + 21000*ln2*z2^2*z3 + 
    20269200*sinf*z2^2*z3 + 2331000*ln2^2*z3^2 - 15918000*ln2*sinf*z3^2 + 
    19194000*z2*z3^2 + 37894500*ln2*z2*z5 + 38671500*sinf*z2*z5 - 
    51885750*z3*z5 - 86336250*sinf*z7)/4704000, 
 H[1, -1, 0, -1, 0, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    4032000*ln2^2*s6 + 143136000*ln2*s7a - 68544000*ln2*s7b + 129261825*s8a + 
    1046304000*s8b - 38304000*s8c + 249984000*s8d + 191520000*ln2*s6*sinf + 
    48384000*s7a*sinf - 233856000*s7b*sinf - 169344000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 725760000*s6*z2 + 
    169344000*li4half*ln2*sinf*z2 + 7056000*ln2^5*sinf*z2 - 
    806400*li4half*z2^2 - 10617600*ln2^4*z2^2 - 42336000*ln2^3*sinf*z2^2 - 
    56985600*ln2^2*z2^3 - 122085600*ln2*sinf*z2^3 - 71723868*z2^4 - 
    387072000*li5half*z3 + 3225600*ln2^5*z3 - 112896000*li4half*sinf*z3 - 
    4704000*ln2^4*sinf*z3 - 5796000*ln2^3*z2*z3 + 81144000*ln2^2*sinf*z2*z3 - 
    122434200*ln2*z2^2*z3 + 116449200*sinf*z2^2*z3 + 150570000*ln2^2*z3^2 - 
    6993000*ln2*sinf*z3^2 + 5355000*z2*z3^2 + 205065000*ln2^3*z5 + 
    273420000*ln2^2*sinf*z5 + 664209000*ln2*z2*z5 + 695772000*sinf*z2*z5 + 
    414847125*z3*z5 - 416886750*ln2*z7 - 1221333750*sinf*z7)/28224000, 
 H[1, -1, 0, -1, 0, 0, 0, 1, 1] -> (1344000*ln2^2*s6 - 1196475*s8a - 
    11760000*s8b - 2688000*s8d + 2688000*s7a*sinf + 4368000*s6*z2 - 
    806400*li4half*z2^2 - 33600*ln2^4*z2^2 - 240400*ln2^2*z2^3 + 
    191200*ln2*sinf*z2^3 + 793544*z2^4 + 2688000*li5half*z3 - 
    22400*ln2^5*z3 + 2688000*li4half*sinf*z3 + 112000*ln2^4*sinf*z3 + 
    224000*ln2^3*z2*z3 - 672000*ln2^2*sinf*z2*z3 + 840000*ln2*z2^2*z3 - 
    1276800*sinf*z2^2*z3 - 756000*ln2^2*z3^2 + 1848000*ln2*sinf*z3^2 + 
    3475500*z2*z3^2 - 1736000*ln2^3*z5 + 5208000*ln2*z2*z5 + 
    3549000*sinf*z2*z5 - 10623375*z3*z5 - 2795625*sinf*z7)/672000, 
 H[1, -1, 0, -1, 0, 0, 0, 0, 1] -> (-945*s8a - 33600*s8b + 53760*s6*z2 - 
    21504*li4half*z2^2 - 896*ln2^4*z2^2 + 12816*ln2^2*z2^3 + 
    14880*ln2*sinf*z2^3 - 4924*z2^4 - 20160*ln2*z2^2*z3 - 9408*sinf*z2^2*z3 - 
    30240*z2*z3^2 - 80640*ln2*z2*z5 - 26880*sinf*z2*z5 + 131355*z3*z5 + 
    65520*sinf*z7)/13440, H[1, -1, 0, -1, 0, 0, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 20160000*ln2*s7a + 76608000*ln2*s7b - 31731525*s8a - 
    151200000*s8b - 20160000*s8c + 20160000*s8d - 20160000*ln2*s6*sinf - 
    36288000*s7a*sinf + 76608000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 22680000*s6*z2 - 38304000*li4half*z2^2 + 
    1932000*ln2^4*z2^2 + 31054800*ln2^2*z2^3 + 28543200*ln2*sinf*z2^3 - 
    17932164*z2^4 - 82656000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    4804800*ln2^5*z3 + 42336000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 - 
    31584000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 - 79543800*ln2*z2^2*z3 - 
    42663600*sinf*z2^2*z3 + 43911000*ln2^2*z3^2 - 13608000*ln2*sinf*z3^2 + 
    18537750*z2*z3^2 - 54684000*ln2^3*z5 - 109368000*ln2^2*sinf*z5 - 
    166320000*ln2*z2*z5 - 219523500*sinf*z2*z5 + 146585250*z3*z5 + 
    679596750*ln2*z7 + 374259375*sinf*z7)/14112000, 
 H[1, -1, 0, -1, 0, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    4536000*ln2^2*s6 - 13204800*s8a - 353808000*s8b + 12096000*s8c - 
    82656000*s8d - 62496000*ln2*s6*sinf + 48384000*s7a*sinf + 
    48384000*s7b*sinf + 84672000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 + 190008000*s6*z2 - 84672000*li4half*ln2*sinf*z2 - 
    3528000*ln2^5*sinf*z2 - 15120000*li4half*z2^2 + 4662000*ln2^4*z2^2 + 
    21168000*ln2^3*sinf*z2^2 + 31495800*ln2^2*z2^3 + 44822400*ln2*sinf*z2^3 + 
    17264292*z2^4 + 73584000*li5half*z3 - 613200*ln2^5*z3 + 
    91728000*li4half*sinf*z3 + 3822000*ln2^4*sinf*z3 - 7098000*ln2^3*z2*z3 - 
    49392000*ln2^2*sinf*z2*z3 + 21237300*ln2*z2^2*z3 - 
    54658800*sinf*z2^2*z3 - 20112750*ln2^2*z3^2 + 56952000*ln2*sinf*z3^2 + 
    28302750*z2*z3^2 - 45570000*ln2^3*z5 - 68355000*ln2^2*sinf*z5 - 
    70245000*ln2*z2*z5 - 73773000*sinf*z2*z5 - 111368250*z3*z5 + 
    200395125*sinf*z7)/14112000, H[1, -1, 0, -1, 0, 0, -1, 0, 1] -> 
  (1344000*ln2^2*s6 - 1309350*s8a + 3696000*s8b - 2688000*s8c + 2688000*s8d + 
    2688000*ln2*s6*sinf - 2688000*s7a*sinf - 2688000*s7b*sinf - 
    1176000*s6*z2 - 1142400*li4half*z2^2 - 47600*ln2^4*z2^2 + 
    176400*ln2^2*z2^3 - 823200*ln2*sinf*z2^3 + 75854*z2^4 - 
    1344000*li5half*z3 + 11200*ln2^5*z3 - 4032000*li4half*sinf*z3 - 
    168000*ln2^4*sinf*z3 - 112000*ln2^3*z2*z3 + 1008000*ln2^2*sinf*z2*z3 - 
    155400*ln2*z2^2*z3 + 2629200*sinf*z2^2*z3 + 1050000*ln2^2*z3^2 - 
    2016000*ln2*sinf*z3^2 - 1433250*z2*z3^2 - 3307500*ln2*z2*z5 + 
    4105500*sinf*z2*z5 + 6108375*z3*z5 - 11051250*sinf*z7)/672000, 
 H[1, -1, 0, -1, 0, 0, -1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    36288000*ln2^2*s6 - 86688000*ln2*s7a + 96768000*ln2*s7b - 82668600*s8a - 
    690480000*s8b - 110880000*s8c - 2016000*s8d + 2016000*ln2*s6*sinf - 
    143136000*s7a*sinf + 40320000*s7b*sinf - 56448000*li4half*ln2^2*z2 - 
    2352000*ln2^6*z2 + 131040000*s6*z2 - 93542400*li4half*z2^2 + 
    3158400*ln2^4*z2^2 + 25183200*ln2^2*z2^3 + 16396800*ln2*sinf*z2^3 - 
    55171056*z2^4 - 10080000*li5half*z3 + 197568000*li4half*ln2*z3 + 
    8316000*ln2^5*z3 + 14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 - 
    50232000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 - 58098600*ln2*z2^2*z3 - 
    23234400*sinf*z2^2*z3 + 86940000*ln2^2*z3^2 - 15750000*ln2*sinf*z3^2 + 
    17671500*z2*z3^2 - 113925000*ln2^3*z5 - 82026000*ln2^2*sinf*z5 - 
    53046000*ln2*z2*z5 - 124173000*sinf*z2*z5 + 347964750*z3*z5 + 
    929273625*ln2*z7 + 107690625*sinf*z7)/28224000, 
 H[1, -1, 0, -1, 0, -1, 1, 1, 1] -> 
  (56448000*li4half^2 + 28224000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 
    450800*ln2^8 + 155736000*ln2^2*s6 - 256098150*s8a - 737856000*s8b - 
    346752000*s8c + 177408000*s8d + 112896000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    526400*ln2^7*sinf - 49392000*ln2*s6*sinf + 14112000*s7a*sinf - 
    70560000*s7b*sinf - 84672000*li5half*ln2*z2 - 35280000*li4half*ln2^2*z2 - 
    1940400*ln2^6*z2 - 252504000*s6*z2 - 28224000*li5half*sinf*z2 + 
    14112000*li4half*ln2*sinf*z2 - 1058400*ln2^5*sinf*z2 - 
    78825600*li4half*z2^2 + 949200*ln2^4*z2^2 + 6115200*ln2^3*sinf*z2^2 - 
    25825800*ln2^2*z2^3 - 6795600*ln2*sinf*z2^3 - 105911304*z2^4 - 
    206640000*li5half*z3 + 74088000*li4half*ln2*z3 + 4809000*ln2^5*z3 + 
    56448000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 + 19824000*ln2^3*z2*z3 + 
    38808000*ln2^2*sinf*z2*z3 + 167989500*ln2*z2^2*z3 + 
    5468400*sinf*z2^2*z3 + 113368500*ln2^2*z3^2 + 49612500*ln2*sinf*z3^2 + 
    199867500*z2*z3^2 + 6835500*ln2^3*z5 + 88861500*ln2^2*sinf*z5 + 
    1019749500*ln2*z2*z5 + 203080500*sinf*z2*z5 + 340223625*z3*z5 - 
    443039625*sinf*z7)/14112000, H[1, -1, 0, -1, 0, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    57792000*ln2^2*s6 + 85366050*s8a + 245952000*s8b + 115584000*s8c - 
    59136000*s8d + 25536000*ln2*s6*sinf - 25536000*s7a*sinf + 
    12096000*s7b*sinf + 65856000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 
    39200*ln2^6*z2 + 71232000*s6*z2 + 18816000*li5half*sinf*z2 + 
    28224000*li4half*ln2*sinf*z2 + 1019200*ln2^5*sinf*z2 - 
    48048000*li4half*z2^2 - 3570000*ln2^4*z2^2 - 5488000*ln2^3*sinf*z2^2 + 
    24403400*ln2^2*z2^3 - 1072400*ln2*sinf*z2^3 + 47963968*z2^4 + 
    38304000*li5half*z3 + 49392000*li4half*ln2*z3 + 1738800*ln2^5*z3 - 
    42336000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 - 9156000*ln2^3*z2*z3 + 
    10584000*ln2^2*sinf*z2*z3 - 86013900*ln2*z2^2*z3 + 
    13456800*sinf*z2^2*z3 - 18165000*ln2^2*z3^2 - 35742000*ln2*sinf*z3^2 - 
    72282000*z2*z3^2 - 36456000*ln2^2*sinf*z5 - 394527000*ln2*z2*z5 - 
    53392500*sinf*z2*z5 - 51778125*z3*z5 + 39004875*sinf*z7)/4704000, 
 H[1, -1, 0, -1, 0, -1, 1, -1, 1] -> 
  (22579200*li4half^2 - 112896000*li8half - 67737600*li7half*ln2 - 
    1881600*li5half*ln2^3 - 940800*li4half*ln2^4 - 52080*ln2^8 - 
    6048000*ln2^2*s6 - 2822400*ln2*s7a + 14112000*ln2*s7b + 29869875*s8a + 
    77313600*s8b + 31852800*s8c - 806400*s8d - 90316800*li7half*sinf - 
    3763200*li4half*ln2^3*sinf - 138880*ln2^7*sinf + 36691200*ln2*s6*sinf - 
    22579200*s7a*sinf + 22579200*s7b*sinf + 5644800*li5half*ln2*z2 - 
    8467200*li4half*ln2^2*z2 - 54880*ln2^6*z2 - 20966400*s6*z2 + 
    16934400*li4half*ln2*sinf*z2 + 1270080*ln2^5*sinf*z2 - 
    15966720*li4half*z2^2 - 1888320*ln2^4*z2^2 - 9031680*ln2^3*sinf*z2^2 + 
    11119920*ln2^2*z2^3 - 11649120*ln2*sinf*z2^3 + 15180672*z2^4 - 
    1209600*li5half*z3 + 14112000*li4half*ln2*z3 + 598080*ln2^5*z3 - 
    8467200*li4half*sinf*z3 - 352800*ln2^4*sinf*z3 - 14212800*ln2^3*z2*z3 + 
    4233600*ln2^2*sinf*z2*z3 - 30756600*ln2*z2^2*z3 - 2998800*sinf*z2^2*z3 - 
    10829700*ln2^2*z3^2 - 33868800*ln2*sinf*z3^2 - 25344900*z2*z3^2 - 
    16860900*ln2^3*z5 - 43747200*ln2^2*sinf*z5 - 136174500*ln2*z2*z5 - 
    67737600*sinf*z2*z5 + 53201925*z3*z5 + 130392675*ln2*z7 + 
    190644300*sinf*z7)/2822400, H[1, -1, 0, -1, 0, -1, 0, 1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 - 
    10080000*ln2^2*s6 + 10023300*s8a - 28224000*s8b + 28224000*s8c - 
    36288000*s8d - 4032000*ln2*s6*sinf + 12096000*s7a*sinf + 
    4032000*s7b*sinf + 8064000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 
    184800*ln2^6*z2 + 64512000*s6*z2 + 16128000*li5half*sinf*z2 - 
    4032000*li4half*ln2*sinf*z2 - 302400*ln2^5*sinf*z2 + 
    5443200*li4half*z2^2 + 394800*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 - 
    1020600*ln2^2*z2^3 + 6022800*ln2*sinf*z2^3 + 14285808*z2^4 + 
    35280000*li5half*z3 - 21168000*li4half*ln2*z3 - 1176000*ln2^5*z3 + 
    2016000*li4half*sinf*z3 + 84000*ln2^4*sinf*z3 + 2940000*ln2^3*z2*z3 - 
    11088000*ln2^2*sinf*z2*z3 - 4718700*ln2*z2^2*z3 - 3717000*sinf*z2^2*z3 - 
    16506000*ln2^2*z3^2 + 8568000*ln2*sinf*z3^2 - 1008000*z2*z3^2 - 
    5208000*ln2^3*z5 - 67095000*ln2*z2*z5 - 19530000*sinf*z2*z5 - 
    76474125*z3*z5 + 24286500*sinf*z7)/2016000, 
 H[1, -1, 0, -1, 0, -1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    38304000*ln2^2*s6 - 24697575*s8a - 87696000*s8b - 76608000*s8c + 
    76608000*s8d + 20160000*ln2*s6*sinf - 20160000*s7a*sinf - 
    20160000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    96768000*s6*z2 + 85881600*li4half*z2^2 + 50400*ln2^4*z2^2 - 
    11440800*ln2^2*z2^3 + 12700800*ln2*sinf*z2^3 - 76075452*z2^4 + 
    2016000*li5half*z3 - 16800*ln2^5*z3 + 42336000*li4half*sinf*z3 + 
    1764000*ln2^4*sinf*z3 + 168000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 + 
    96831000*ln2*z2^2*z3 - 10256400*sinf*z2^2*z3 + 24885000*ln2^2*z3^2 + 
    3024000*ln2*sinf*z3^2 - 22365000*z2*z3^2 + 187488000*ln2*z2*z5 + 
    45108000*sinf*z2*z5 + 244542375*z3*z5 - 110100375*sinf*z7)/14112000, 
 H[1, -1, 0, -1, 0, -1, 0, -1, 1] -> 
  (-1008000*ln2*s7a - 336000*ln2*s7b + 678300*s8a - 1344000*s8b + 
    1344000*s8c - 1344000*s8d - 672000*s7a*sinf + 672000*s7b*sinf + 
    336000*li5half*ln2*z2 + 168000*li4half*ln2^2*z2 + 4200*ln2^6*z2 + 
    2688000*s6*z2 + 672000*li5half*sinf*z2 + 336000*li4half*ln2*sinf*z2 + 
    8400*ln2^5*sinf*z2 - 184800*li4half*z2^2 - 21700*ln2^4*z2^2 - 
    28000*ln2^3*sinf*z2^2 + 79350*ln2^2*z2^3 + 368700*ln2*sinf*z2^3 + 
    383388*z2^4 + 1680000*li5half*z3 - 588000*li4half*ln2*z3 - 
    38500*ln2^5*z3 - 168000*li4half*sinf*z3 - 7000*ln2^4*sinf*z3 + 
    287000*ln2^3*z2*z3 + 42000*ln2^2*sinf*z2*z3 + 271425*ln2*z2^2*z3 - 
    135450*sinf*z2^2*z3 - 1286250*ln2^2*z3^2 - 514500*ln2*sinf*z3^2 - 
    918750*z2*z3^2 - 651000*ln2^3*z5 - 1302000*ln2^2*sinf*z5 - 
    2984625*ln2*z2*z5 - 2672250*sinf*z2*z5 - 532875*z3*z5 - 1687875*ln2*z7 + 
    2997750*sinf*z7)/168000, H[1, -1, 0, -1, 0, -1, -1, 1, 1] -> 
  (-141120000*li4half^2 + 1128960000*li8half - 677376000*li6half*ln2^2 - 
    263424000*li5half*ln2^3 - 39984000*li4half*ln2^4 - 138600*ln2^8 - 
    427392000*ln2^2*s6 + 113434650*s8a - 1386000000*s8b + 572544000*s8c - 
    1010016000*s8d + 451584000*li7half*sinf - 677376000*li6half*ln2*sinf - 
    338688000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf + 
    224000*ln2^7*sinf - 602784000*ln2*s6*sinf + 362880000*s7a*sinf + 
    66528000*s7b*sinf + 677376000*li6half*z2 + 677376000*li5half*ln2*z2 + 
    197568000*li4half*ln2^2*z2 + 1960000*ln2^6*z2 + 2379888000*s6*z2 + 
    338688000*li5half*sinf*z2 - 197568000*li4half*ln2*sinf*z2 - 
    13876800*ln2^5*sinf*z2 - 124387200*li4half*z2^2 + 20571600*ln2^4*z2^2 + 
    125596800*ln2^3*sinf*z2^2 + 2956800*ln2^2*z2^3 + 
    319653600*ln2*sinf*z2^3 + 240587664*z2^4 + 862848000*li5half*z3 - 
    148176000*li4half*ln2*z3 - 13364400*ln2^5*z3 + 
    148176000*li4half*sinf*z3 + 6174000*ln2^4*sinf*z3 + 
    98364000*ln2^3*z2*z3 - 291060000*ln2^2*sinf*z2*z3 - 
    104882400*ln2*z2^2*z3 - 119498400*sinf*z2^2*z3 - 271908000*ln2^2*z3^2 + 
    462420000*ln2*sinf*z3^2 - 66024000*z2*z3^2 + 18228000*ln2^3*z5 + 
    328104000*ln2^2*sinf*z5 - 1799658000*ln2*z2*z5 - 227178000*sinf*z2*z5 - 
    2191596750*z3*z5 - 139899375*sinf*z7)/56448000, 
 H[1, -1, 0, -1, 0, -1, -1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    102816000*ln2^2*s6 - 65156175*s8a - 49896000*s8b - 205632000*s8c + 
    205632000*s8d + 92736000*ln2*s6*sinf - 92736000*s7a*sinf - 
    92736000*s7b*sinf - 508032000*li6half*z2 - 395136000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 443016000*s6*z2 - 
    112896000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1411200*ln2^5*sinf*z2 + 106041600*li4half*z2^2 + 3242400*ln2^4*z2^2 + 
    4704000*ln2^3*sinf*z2^2 - 21226800*ln2^2*z2^3 - 15943200*ln2*sinf*z2^3 - 
    64688388*z2^4 - 30240000*li5half*z3 + 252000*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 - 2520000*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 + 137781000*ln2*z2^2*z3 + 
    32835600*sinf*z2^2*z3 + 71253000*ln2^2*z3^2 - 31248000*ln2*sinf*z3^2 + 
    5827500*z2*z3^2 + 616455000*ln2*z2*z5 + 276822000*sinf*z2*z5 + 
    622573875*z3*z5 - 433211625*sinf*z7)/28224000, 
 H[1, -1, 0, -1, 0, -1, -1, -1, 1] -> 
  (1128960000*li8half + 1354752000*li7half*ln2 + 677376000*li6half*ln2^2 + 
    188160000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 308000*ln2^8 + 
    185472000*ln2^2*s6 - 225792000*ln2*s7a - 211680000*ln2*s7b + 
    146109600*s8a + 40320000*s8b + 165312000*s8c - 151200000*s8d + 
    903168000*li7half*sinf + 677376000*li6half*ln2*sinf + 
    225792000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    448000*ln2^7*sinf + 179424000*ln2*s6*sinf - 137088000*s7a*sinf - 
    52416000*s7b*sinf - 338688000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 1568000*ln2^6*z2 + 274176000*s6*z2 - 
    940800*ln2^5*sinf*z2 - 30240000*li4half*z2^2 + 1092000*ln2^4*z2^2 + 
    7375200*ln2^2*z2^3 + 67166400*ln2*sinf*z2^3 - 41803224*z2^4 + 
    358848000*li5half*z3 + 28224000*li4half*ln2*z3 - 1814400*ln2^5*z3 + 
    22848000*ln2^3*z2*z3 + 81723600*ln2*z2^2*z3 + 6249600*sinf*z2^2*z3 - 
    101745000*ln2^2*z3^2 - 25830000*ln2*sinf*z3^2 - 182196000*z2*z3^2 - 
    113925000*ln2^3*z5 - 246078000*ln2^2*sinf*z5 + 289485000*ln2*z2*z5 + 
    151326000*sinf*z2*z5 - 28035000*z3*z5 - 2002084875*ln2*z7 - 
    1277529750*sinf*z7)/56448000, H[1, -1, 0, -1, -1, 1, 1, 1, 1] -> 
  (18063360*li4half^2 + 259660800*li8half + 10160640*li6half*ln2^2 + 
    752640*li5half*ln2^3 + 376320*li4half*ln2^4 - 1400*ln2^8 - 
    9192960*ln2^2*s6 + 52436160*s8a + 422674560*s8b + 28546560*s8c + 
    48222720*s8d - 31610880*li7half*sinf + 20321280*li6half*ln2*sinf + 
    1128960*li5half*ln2^2*sinf - 1128960*li4half*ln2^3*sinf - 
    21952*ln2^7*sinf + 19031040*ln2*s6*sinf - 8870400*s7a*sinf - 
    2661120*s7b*sinf - 10160640*li6half*z2 - 2257920*li5half*ln2*z2 - 
    1693440*li4half*ln2^2*z2 + 98784*ln2^6*z2 - 139910400*s6*z2 - 
    1128960*li5half*sinf*z2 + 4515840*li4half*ln2*sinf*z2 + 
    442176*ln2^5*sinf*z2 + 6257664*li4half*z2^2 - 2074800*ln2^4*z2^2 - 
    3575040*ln2^3*sinf*z2^2 - 6445152*ln2^2*z2^3 - 9243360*ln2*sinf*z2^3 - 
    18991080*z2^4 - 92494080*li5half*z3 + 5927040*li4half*ln2*z3 + 
    770784*ln2^5*z3 - 6491520*li4half*sinf*z3 - 517440*ln2^4*sinf*z3 - 
    5520480*ln2^3*z2*z3 + 6491520*ln2^2*sinf*z2*z3 - 39926880*ln2*z2^2*z3 + 
    6057072*sinf*z2^2*z3 - 2400300*ln2^2*z3^2 - 13786920*ln2*sinf*z3^2 - 
    39094020*z2*z3^2 + 364560*ln2^3*z5 - 5468400*ln2^2*sinf*z5 - 
    86733360*ln2*z2*z5 + 7076160*sinf*z2*z5 + 33844860*z3*z5 + 
    2605995*sinf*z7)/2257920, H[1, -1, 0, -1, -1, 1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4515840000*li8half + 112896000*li6half*ln2^2 - 
    4704000*li4half*ln2^4 - 53200*ln2^8 + 261576000*ln2^2*s6 - 
    783842850*s8a - 6410880000*s8b - 487872000*s8c - 584640000*s8d + 
    1806336000*li7half*sinf + 225792000*li6half*ln2*sinf - 44800*ln2^7*sinf - 
    246960000*ln2*s6*sinf + 282240000*s7a*sinf - 268128000*s7b*sinf + 
    197568000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    63504000*li4half*ln2^2*z2 - 176400*ln2^6*z2 + 1807848000*s6*z2 - 
    56448000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*z2 + 
    2704800*ln2^5*sinf*z2 - 174081600*li4half*z2^2 + 8446200*ln2^4*z2^2 + 
    24108000*ln2^3*sinf*z2^2 + 99565200*ln2^2*z2^3 + 
    165614400*ln2*sinf*z2^3 + 264705264*z2^4 + 1352736000*li5half*z3 + 
    158760000*li4half*ln2*z3 - 4657800*ln2^5*z3 + 70560000*li4half*sinf*z3 + 
    2940000*ln2^4*sinf*z3 + 35994000*ln2^3*z2*z3 - 
    36162000*ln2^2*sinf*z2*z3 + 629496000*ln2*z2^2*z3 + 
    17640000*sinf*z2^2*z3 + 68276250*ln2^2*z3^2 + 342877500*ln2*sinf*z3^2 + 
    511323750*z2*z3^2 + 533169000*ln2^2*sinf*z5 + 1646851500*ln2*z2*z5 + 
    865903500*sinf*z2*z5 - 31539375*z3*z5 - 2879344125*sinf*z7)/28224000, 
 H[1, -1, 0, -1, -1, 1, 1, -1, 1] -> 
  (-6209280000*li8half - 620928000*li7half*ln2 - 310464000*li6half*ln2^2 + 
    28224000*li4half*ln2^4 + 714000*ln2^8 + 427392000*ln2^2*s6 - 
    86688000*ln2*s7a + 449568000*ln2*s7b - 1768403700*s8a - 12187728000*s8b - 
    1161216000*s8c - 1139040000*s8d - 56448000*li7half*sinf - 
    620928000*li6half*ln2*sinf + 28224000*li4half*ln2^3*sinf + 
    324800*ln2^7*sinf - 318528000*ln2*s6*sinf - 161280000*s7a*sinf + 
    276192000*s7b*sinf + 310464000*li6half*z2 - 169344000*li4half*ln2^2*z2 - 
    9016000*ln2^6*z2 + 3668112000*s6*z2 - 84672000*li4half*ln2*sinf*z2 - 
    4939200*ln2^5*sinf*z2 - 287078400*li4half*z2^2 + 36254400*ln2^4*z2^2 + 
    66561600*ln2^3*sinf*z2^2 + 127159200*ln2^2*z2^3 + 
    172216800*ln2*sinf*z2^3 + 369400968*z2^4 + 2278080000*li5half*z3 + 
    486864000*li4half*ln2*z3 + 7476000*ln2^5*z3 + 42336000*li4half*sinf*z3 + 
    7938000*ln2^4*sinf*z3 + 13440000*ln2^3*z2*z3 - 
    58212000*ln2^2*sinf*z2*z3 + 990763200*ln2*z2^2*z3 - 
    113979600*sinf*z2^2*z3 + 160335000*ln2^2*z3^2 + 27720000*ln2*sinf*z3^2 + 
    1204308000*z2*z3^2 - 519498000*ln2^3*z5 - 423801000*ln2^2*sinf*z5 + 
    2146284000*ln2*z2*z5 - 824985000*sinf*z2*z5 - 1032853500*z3*z5 + 
    3511108125*ln2*z7 + 1456331625*sinf*z7)/56448000, 
 H[1, -1, 0, -1, -1, 1, 0, 1, 1] -> 
  (-395136000*li4half^2 + 2257920000*li8half - 338688000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 32928000*li4half*ln2^4 - 473200*ln2^8 - 
    605808000*ln2^2*s6 + 1008548100*s8a + 5340384000*s8b + 957600000*s8c + 
    114912000*s8d - 1354752000*li7half*sinf - 677376000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf + 268800*ln2^7*sinf - 
    129024000*ln2*s6*sinf - 124992000*s7a*sinf + 481824000*s7b*sinf + 
    931392000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2156000*ln2^6*z2 - 399168000*s6*z2 - 
    141120000*li4half*ln2*sinf*z2 - 6820800*ln2^5*sinf*z2 + 
    293932800*li4half*z2^2 + 17833200*ln2^4*z2^2 + 40572000*ln2^3*sinf*z2^2 - 
    16816800*ln2^2*z2^3 + 38841600*ln2*sinf*z2^3 - 108715884*z2^4 - 
    399168000*li5half*z3 - 317520000*li4half*ln2*z3 - 9903600*ln2^5*z3 + 
    81144000*li4half*sinf*z3 + 3381000*ln2^4*sinf*z3 - 46494000*ln2^3*z2*z3 - 
    168462000*ln2^2*sinf*z2*z3 - 692874000*ln2*z2^2*z3 - 
    179537400*sinf*z2^2*z3 - 221539500*ln2^2*z3^2 - 116991000*ln2*sinf*z3^2 - 
    954135000*z2*z3^2 + 22785000*ln2^3*z5 - 553675500*ln2^2*sinf*z5 - 
    2941155000*ln2*z2*z5 - 1437628500*sinf*z2*z5 - 66386250*z3*z5 + 
    3851938125*sinf*z7)/28224000, H[1, -1, 0, -1, -1, 1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    125664000*ln2^2*s6 - 255354225*s8a - 1118208000*s8b - 227808000*s8c - 
    54432000*s8d - 8736000*ln2*s6*sinf + 32256000*s7a*sinf - 
    71232000*s7b*sinf - 225792000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    9408000*li4half*ln2^2*z2 + 548800*ln2^6*z2 + 162960000*s6*z2 - 
    18816000*li5half*sinf*z2 - 9408000*li4half*ln2*sinf*z2 - 
    235200*ln2^5*sinf*z2 + 28862400*li4half*z2^2 + 5906600*ln2^4*z2^2 + 
    11368000*ln2^3*sinf*z2^2 - 46583600*ln2^2*z2^3 - 18642400*ln2*sinf*z2^3 - 
    4051436*z2^4 + 132384000*li5half*z3 - 70560000*li4half*ln2*z3 - 
    4043200*ln2^5*z3 - 2352000*li4half*sinf*z3 - 98000*ln2^4*sinf*z3 + 
    28672000*ln2^3*z2*z3 + 588000*ln2^2*sinf*z2*z3 + 234754800*ln2*z2^2*z3 + 
    35532000*sinf*z2^2*z3 + 16527000*ln2^2*z3^2 + 27825000*ln2*sinf*z3^2 + 
    245164500*z2*z3^2 + 100254000*ln2^2*sinf*z5 + 705253500*ln2*z2*z5 + 
    219754500*sinf*z2*z5 - 306951750*z3*z5 - 385239750*sinf*z7)/9408000, 
 H[1, -1, 0, -1, -1, 1, 0, -1, 1] -> 
  (-1128960000*li4half^2 + 2709504000*li7half*ln2 + 677376000*li6half*ln2^2 - 
    94080000*li4half*ln2^4 - 1556800*ln2^8 + 30240000*ln2^2*s6 + 
    320544000*ln2*s7a - 1316448000*ln2*s7b - 157906350*s8a - 174384000*s8b + 
    32256000*s8c - 201600000*s8d + 5419008000*li7half*sinf + 
    1354752000*li6half*ln2*sinf + 806400*ln2^7*sinf - 812448000*ln2*s6*sinf + 
    1546272000*s7a*sinf - 1530144000*s7b*sinf - 84672000*li6half*z2 + 
    423360000*li4half*ln2^2*z2 + 14700000*ln2^6*z2 + 360864000*s6*z2 - 
    112896000*li5half*sinf*z2 - 197568000*li4half*ln2*sinf*z2 - 
    12936000*ln2^5*sinf*z2 + 831801600*li4half*z2^2 + 49123200*ln2^4*z2^2 + 
    135945600*ln2^3*sinf*z2^2 - 170335200*ln2^2*z2^3 + 
    211461600*ln2*sinf*z2^3 + 42223224*z2^4 + 544320000*li5half*z3 - 
    1587600000*li4half*ln2*z3 - 70686000*ln2^5*z3 + 
    98784000*li4half*sinf*z3 + 4116000*ln2^4*sinf*z3 + 
    405216000*ln2^3*z2*z3 - 61740000*ln2^2*sinf*z2*z3 + 
    1176814800*ln2*z2^2*z3 + 427744800*sinf*z2^2*z3 + 67599000*ln2^2*z3^2 + 
    1368360000*ln2*sinf*z3^2 + 153751500*z2*z3^2 + 1585836000*ln2^3*z5 + 
    2980278000*ln2^2*sinf*z5 + 3821454000*ln2*z2*z5 + 4621806000*sinf*z2*z5 - 
    1453394250*z3*z5 - 10303846875*ln2*z7 - 12182034375*sinf*z7)/56448000, 
 H[1, -1, 0, -1, -1, 1, -1, 1, 1] -> 
  (-254016000*li4half^2 - 14676480000*li8half + 197568000*li6half*ln2^2 + 
    56448000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 707000*ln2^8 + 
    1518048000*ln2^2*s6 - 4700450475*s8a - 31107384000*s8b - 2824416000*s8c - 
    3328416000*s8d + 1919232000*li7half*sinf + 56448000*li6half*ln2*sinf + 
    84672000*li5half*ln2^2*sinf - 1008000*ln2^7*sinf - 
    379008000*ln2*s6*sinf + 463680000*s7a*sinf - 143136000*s7b*sinf - 
    197568000*li6half*z2 - 169344000*li5half*ln2*z2 - 2195200*ln2^6*z2 + 
    9627408000*s6*z2 - 84672000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*
     z2 - 17169600*ln2^5*sinf*z2 - 538675200*li4half*z2^2 + 
    111207600*ln2^4*z2^2 + 128184000*ln2^3*sinf*z2^2 - 109771200*ln2^2*z2^3 + 
    261928800*ln2*sinf*z2^3 + 1269927144*z2^4 + 6953184000*li5half*z3 + 
    42336000*li4half*ln2*z3 - 50005200*ln2^5*z3 + 105840000*li4half*sinf*z3 + 
    10584000*ln2^4*sinf*z3 + 397740000*ln2^3*z2*z3 - 
    306936000*ln2^2*sinf*z2*z3 + 3855159000*ln2*z2^2*z3 - 
    36464400*sinf*z2^2*z3 + 210861000*ln2^2*z3^2 + 504630000*ln2*sinf*z3^2 + 
    3552444000*z2*z3^2 - 109368000*ln2^3*z5 + 423801000*ln2^2*sinf*z5 + 
    8801352000*ln2*z2*z5 + 603477000*sinf*z2*z5 - 5837587875*z3*z5 - 
    2288923875*sinf*z7)/56448000, H[1, -1, 0, -1, -1, 1, -1, 0, 1] -> 
  (-56448000*li4half^2 + 2257920000*li8half - 56448000*li6half*ln2^2 - 
    4704000*li4half*ln2^4 - 120400*ln2^8 - 195048000*ln2^2*s6 + 
    599698050*s8a + 4025280000*s8b + 359520000*s8c + 402528000*s8d - 
    903168000*li7half*sinf - 112896000*li6half*ln2*sinf + 22400*ln2^7*sinf + 
    125664000*ln2*s6*sinf - 156240000*s7a*sinf + 165984000*s7b*sinf + 
    28224000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 548800*ln2^6*z2 - 
    1174320000*s6*z2 + 9408000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*
     z2 - 2077600*ln2^5*sinf*z2 + 125664000*li4half*z2^2 - 
    6288800*ln2^4*z2^2 - 14504000*ln2^3*sinf*z2^2 - 25099200*ln2^2*z2^3 - 
    65486400*ln2*sinf*z2^3 - 189805332*z2^4 - 835632000*li5half*z3 - 
    102312000*li4half*ln2*z3 + 2700600*ln2^5*z3 + 7056000*li4half*sinf*z3 + 
    294000*ln2^4*sinf*z3 - 31710000*ln2^3*z2*z3 + 4410000*ln2^2*sinf*z2*z3 - 
    437585400*ln2*z2^2*z3 - 44104200*sinf*z2^2*z3 - 57466500*ln2^2*z3^2 - 
    184422000*ln2*sinf*z3^2 - 439608750*z2*z3^2 - 312154500*ln2^2*sinf*z5 - 
    1105461000*ln2*z2*z5 - 506614500*sinf*z2*z5 + 563871000*z3*z5 + 
    1628757375*sinf*z7)/9408000, H[1, -1, 0, -1, -1, 1, -1, -1, 1] -> 
  (-8870400*li4half^2 + 137088000*li8half + 8064000*li7half*ln2 - 
    2419200*li6half*ln2^2 - 1075200*li5half*ln2^3 - 806400*li4half*ln2^4 - 
    10800*ln2^8 - 16041600*ln2^2*s6 - 288000*ln2*s7a - 5529600*ln2*s7b + 
    45522225*s8a + 292622400*s8b + 31852800*s8c + 25804800*s8d - 
    8064000*li7half*sinf - 1612800*li6half*ln2*sinf - 
    1612800*li5half*ln2^2*sinf + 12800*ln2^7*sinf - 1555200*ln2*s6*sinf + 
    1958400*s7a*sinf + 748800*s7b*sinf + 806400*li6half*z2 + 
    1612800*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 172480*ln2^6*z2 - 
    80640000*s6*z2 - 1612800*li4half*ln2*sinf*z2 + 11934720*li4half*z2^2 - 
    752640*ln2^4*z2^2 - 6720*ln2^3*sinf*z2^2 - 118560*ln2^2*z2^3 - 
    667680*ln2*sinf*z2^3 - 9516336*z2^4 - 52012800*li5half*z3 - 
    13104000*li4half*ln2*z3 - 171360*ln2^5*z3 + 806400*li4half*sinf*z3 - 
    25200*ln2^4*sinf*z3 - 588000*ln2^3*z2*z3 + 151200*ln2^2*sinf*z2*z3 - 
    30003480*ln2*z2^2*z3 - 411840*sinf*z2^2*z3 - 6363900*ln2^2*z3^2 + 
    268200*ln2*sinf*z3^2 - 33730200*z2*z3^2 + 5338200*ln2^3*z5 + 
    1562400*ln2^2*sinf*z5 - 79542000*ln2*z2*z5 - 2161800*sinf*z2*z5 + 
    31848075*z3*z5 - 41581800*ln2*z7 + 13412025*sinf*z7)/537600, 
 H[1, -1, 0, -1, -1, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    12600000*ln2^2*s6 + 15527925*s8a + 37296000*s8b + 18144000*s8c - 
    11088000*s8d - 18144000*ln2*s6*sinf + 11088000*s7a*sinf + 
    18144000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 
    22176000*s6*z2 - 32558400*li4half*z2^2 - 2238600*ln2^4*z2^2 + 
    9088800*ln2^2*z2^3 + 3158400*ln2*sinf*z2^3 + 12631368*z2^4 + 
    22176000*li5half*z3 + 3528000*li4half*ln2*z3 - 37800*ln2^5*z3 + 
    28224000*li4half*sinf*z3 + 1176000*ln2^4*sinf*z3 + 966000*ln2^3*z2*z3 - 
    7056000*ln2^2*sinf*z2*z3 - 45032400*ln2*z2^2*z3 - 22062600*sinf*z2^2*z3 + 
    1895250*ln2^2*z3^2 + 19666500*ln2*sinf*z3^2 - 16290750*z2*z3^2 + 
    4557000*ln2^3*z5 - 68103000*ln2*z2*z5 - 60354000*sinf*z2*z5 + 
    38563875*z3*z5 + 137253375*sinf*z7)/9408000, 
 H[1, -1, 0, -1, -1, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    24864000*ln2^2*s6 - 10873800*s8a + 22176000*s8b - 49728000*s8c + 
    49728000*s8d + 49728000*ln2*s6*sinf - 49728000*s7a*sinf - 
    49728000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    106512000*s6*z2 - 6283200*li4half*z2^2 + 3266200*ln2^4*z2^2 + 
    1853600*ln2^2*z2^3 - 10623200*ln2*sinf*z2^3 - 25885688*z2^4 - 
    99456000*li5half*z3 + 42336000*li4half*ln2*z3 + 2592800*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 - 18872000*ln2^3*z2*z3 + 
    14112000*ln2^2*sinf*z2*z3 - 3082800*ln2*z2^2*z3 + 39228000*sinf*z2^2*z3 + 
    41538000*ln2^2*z3^2 - 30114000*ln2*sinf*z3^2 + 33180000*z2*z3^2 + 
    160870500*ln2*z2*z5 + 149971500*sinf*z2*z5 + 81692625*z3*z5 - 
    325783500*sinf*z7)/9408000, H[1, -1, 0, -1, -1, 0, 1, -1, 1] -> 
  (874944000*li4half^2 + 72912000*li4half*ln2^4 + 1519000*ln2^8 + 
    357840000*ln2^2*s6 - 60480000*ln2*s7a - 18144000*ln2*s7b - 
    178293150*s8a - 311472000*s8b - 495936000*s8c + 368928000*s8d + 
    411264000*ln2*s6*sinf - 312480000*s7a*sinf - 312480000*s7b*sinf - 
    127008000*li4half*ln2^2*z2 - 5292000*ln2^6*z2 - 723744000*s6*z2 + 
    366912000*li4half*ln2*sinf*z2 + 15288000*ln2^5*sinf*z2 - 
    497750400*li4half*z2^2 - 43671600*ln2^4*z2^2 - 91728000*ln2^3*sinf*z2^2 - 
    16934400*ln2^2*z2^3 - 166874400*ln2*sinf*z2^3 - 148738104*z2^4 - 
    737856000*li5half*z3 + 571536000*li4half*ln2*z3 + 29962800*ln2^5*z3 - 
    225792000*li4half*sinf*z3 - 9408000*ln2^4*sinf*z3 + 
    17892000*ln2^3*z2*z3 + 278712000*ln2^2*sinf*z2*z3 - 
    59497200*ln2*z2^2*z3 + 182448000*sinf*z2^2*z3 + 219271500*ln2^2*z3^2 - 
    181125000*ln2*sinf*z3^2 + 244723500*z2*z3^2 - 41013000*ln2^3*z5 + 
    1769985000*ln2*z2*z5 + 917910000*sinf*z2*z5 + 963569250*z3*z5 - 
    628306875*ln2*z7 - 1963686375*sinf*z7)/56448000, 
 H[1, -1, 0, -1, -1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    6048000*ln2^2*s6 - 17808525*s8a + 1008000*s8b - 26208000*s8c + 
    40320000*s8d - 16128000*ln2*s6*sinf + 2016000*s7a*sinf + 
    16128000*s7b*sinf - 7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 
    55944000*s6*z2 + 42336000*li4half*ln2*sinf*z2 + 1764000*ln2^5*sinf*z2 - 
    50500800*li4half*z2^2 - 3868200*ln2^4*z2^2 - 10584000*ln2^3*sinf*z2^2 + 
    11088000*ln2^2*z2^3 - 7207200*ln2*sinf*z2^3 - 422964*z2^4 - 
    80640000*li5half*z3 + 42336000*li4half*ln2*z3 + 2436000*ln2^5*z3 + 
    17640000*li4half*sinf*z3 + 735000*ln2^4*sinf*z3 + 1218000*ln2^3*z2*z3 + 
    32634000*ln2^2*sinf*z2*z3 - 22780800*ln2*z2^2*z3 - 
    10105200*sinf*z2^2*z3 + 16474500*ln2^2*z3^2 - 8946000*ln2*sinf*z3^2 + 
    11166750*z2*z3^2 + 9114000*ln2^3*z5 + 51282000*ln2*z2*z5 - 
    22459500*sinf*z2*z5 + 88270875*z3*z5 + 40375125*sinf*z7)/14112000, 
 H[1, -1, 0, -1, -1, 0, 0, 0, 1] -> 
  (-2688000*ln2^2*s6 + 2655975*s8a + 16800000*s8b + 5376000*s8c - 
    5376000*s8d - 5376000*ln2*s6*sinf + 5376000*s7a*sinf + 5376000*s7b*sinf + 
    6048000*s6*z2 - 11659200*li4half*z2^2 - 485800*ln2^4*z2^2 + 
    1878800*ln2^2*z2^3 - 862400*ln2*sinf*z2^3 + 6656096*z2^4 + 
    10752000*li5half*z3 - 89600*ln2^5*z3 + 896000*ln2^3*z2*z3 - 
    15502200*ln2*z2^2*z3 - 6661200*sinf*z2^2*z3 - 3108000*ln2^2*z3^2 + 
    2016000*ln2*sinf*z3^2 + 1407000*z2*z3^2 - 12600000*ln2*z2*z5 - 
    14616000*sinf*z2*z5 - 17138625*z3*z5 + 49234500*sinf*z7)/4704000, 
 H[1, -1, 0, -1, -1, 0, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    34608000*ln2^2*s6 + 61152000*ln2*s7a + 51744000*ln2*s7b - 32246025*s8a - 
    59472000*s8b - 43680000*s8c + 43680000*s8d - 12768000*ln2*s6*sinf + 
    22176000*s7a*sinf + 3360000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 83832000*s6*z2 - 25838400*li4half*z2^2 + 
    687400*ln2^4*z2^2 + 15657600*ln2^2*z2^3 - 1310400*ln2*sinf*z2^3 - 
    18186684*z2^4 - 87360000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    3668000*ln2^5*z3 + 21168000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 - 
    24920000*ln2^3*z2*z3 - 5292000*ln2^2*sinf*z2*z3 - 64310400*ln2*z2^2*z3 - 
    11432400*sinf*z2^2*z3 + 66853500*ln2^2*z3^2 + 20958000*ln2*sinf*z3^2 + 
    39558750*z2*z3^2 + 9114000*ln2^3*z5 + 18228000*ln2^2*sinf*z5 - 
    20664000*ln2*z2*z5 + 3727500*sinf*z2*z5 + 91276500*z3*z5 + 
    475489875*ln2*z7 + 22677375*sinf*z7)/9408000, 
 H[1, -1, 0, -1, -1, 0, -1, 1, 1] -> 
  (-1290240*li4half^2 - 107520*li4half*ln2^4 - 2240*ln2^8 - 141120*ln2^2*s6 - 
    552960*ln2*s6*sinf + 391680*s7a*sinf + 149760*s7b*sinf + 
    120960*li4half*ln2^2*z2 + 5040*ln2^6*z2 + 141120*s6*z2 - 
    322560*li4half*ln2*sinf*z2 - 13440*ln2^5*sinf*z2 + 604800*li4half*z2^2 + 
    75600*ln2^4*z2^2 + 80640*ln2^3*sinf*z2^2 + 106560*ln2^2*z2^3 + 
    146880*ln2*sinf*z2^3 - 75312*z2^4 - 907200*li4half*ln2*z3 - 
    37800*ln2^5*z3 + 524160*li4half*sinf*z3 + 21840*ln2^4*sinf*z3 - 
    90720*ln2^3*z2*z3 - 131040*ln2^2*sinf*z2*z3 + 195048*ln2*z2^2*z3 - 
    227520*sinf*z2^2*z3 + 8190*ln2^2*z3^2 + 328320*ln2*sinf*z3^2 - 
    219870*z2*z3^2 + 234360*ln2^2*sinf*z5 - 657720*ln2*z2*z5 - 
    432360*sinf*z2*z5 + 712530*z3*z5 + 1080945*sinf*z7)/161280, 
 H[1, -1, 0, -1, -1, 0, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    12768000*ln2^2*s6 - 15990450*s8a + 74256000*s8b - 25536000*s8c + 
    25536000*s8d + 25536000*ln2*s6*sinf - 25536000*s7a*sinf - 
    25536000*s7b*sinf - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    54600000*s6*z2 - 21705600*li4half*z2^2 + 2623600*ln2^4*z2^2 + 
    2489200*ln2^2*z2^3 - 11620000*ln2*sinf*z2^3 + 4622348*z2^4 - 
    51072000*li5half*z3 + 56448000*li4half*ln2*z3 + 2777600*ln2^5*z3 - 
    42336000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 - 18368000*ln2^3*z2*z3 + 
    10584000*ln2^2*sinf*z2*z3 - 27463800*ln2*z2^2*z3 + 
    21512400*sinf*z2^2*z3 + 40047000*ln2^2*z3^2 - 8400000*ln2*sinf*z3^2 + 
    24921750*z2*z3^2 + 37579500*ln2*z2*z5 + 62002500*sinf*z2*z5 - 
    32337375*z3*z5 - 129291750*sinf*z7)/9408000, 
 H[1, -1, 0, -1, -1, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    22512000*ln2^2*s6 + 28224000*ln2*s7a - 4704000*ln2*s7b + 23589300*s8a + 
    156576000*s8b - 6720000*s8c + 44352000*s8d + 4032000*ln2*s6*sinf - 
    4032000*s7a*sinf - 27552000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 107520000*s6*z2 - 15120000*li4half*z2^2 + 
    1134000*ln2^4*z2^2 + 8142400*ln2^2*z2^3 - 9839200*ln2*sinf*z2^3 - 
    13426312*z2^4 - 88704000*li5half*z3 + 51744000*li4half*ln2*z3 + 
    2895200*ln2^5*z3 + 2352000*li4half*sinf*z3 + 98000*ln2^4*sinf*z3 - 
    20328000*ln2^3*z2*z3 - 588000*ln2^2*sinf*z2*z3 - 51483600*ln2*z2^2*z3 + 
    5745600*sinf*z2^2*z3 + 59034500*ln2^2*z3^2 + 18676000*ln2*sinf*z3^2 - 
    16961000*z2*z3^2 + 47089000*ln2^3*z5 + 45570000*ln2^2*sinf*z5 + 
    12222000*ln2*z2*z5 + 81669000*sinf*z2*z5 + 152276250*z3*z5 + 
    40039125*ln2*z7 - 146992125*sinf*z7)/6272000, 
 H[1, -1, 0, -1, -1, -1, 1, 1, 1] -> 
  (-254016000*li4half^2 + 6547968000*li8half + 141120000*li6half*ln2^2 + 
    94080000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 603400*ln2^8 - 
    286272000*ln2^2*s6 + 1281698775*s8a + 10478664000*s8b + 671328000*s8c + 
    1219680000*s8d - 846720000*li7half*sinf + 282240000*li6half*ln2*sinf + 
    84672000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    1422400*ln2^7*sinf + 159264000*ln2*s6*sinf - 60480000*s7a*sinf + 
    52416000*s7b*sinf - 141120000*li6half*z2 - 282240000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1607200*ln2^6*z2 - 3434256000*s6*z2 - 
    84672000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    2822400*ln2^5*sinf*z2 + 211478400*li4half*z2^2 - 30408000*ln2^4*z2^2 - 
    36456000*ln2^3*sinf*z2^2 - 167479200*ln2^2*z2^3 - 
    156542400*ln2*sinf*z2^3 - 514224576*z2^4 - 1945440000*li5half*z3 - 
    21168000*li4half*ln2*z3 + 19857600*ln2^5*z3 + 162288000*li4half*sinf*z3 + 
    10878000*ln2^4*sinf*z3 - 122724000*ln2^3*z2*z3 + 
    44100000*ln2^2*sinf*z2*z3 - 984501000*ln2*z2^2*z3 - 
    56347200*sinf*z2^2*z3 - 41926500*ln2^2*z3^2 - 100296000*ln2*sinf*z3^2 - 
    964561500*z2*z3^2 + 31899000*ln2^3*z5 - 82026000*ln2^2*sinf*z5 - 
    2109681000*ln2*z2*z5 - 184842000*sinf*z2*z5 + 982666125*z3*z5 + 
    1183376250*sinf*z7)/56448000, H[1, -1, 0, -1, -1, -1, 1, 0, 1] -> 
  (846720000*li4half^2 - 4515840000*li8half + 112896000*li6half*ln2^2 + 
    70560000*li4half*ln2^4 + 1514800*ln2^8 + 73584000*ln2^2*s6 - 
    402579450*s8a - 4935168000*s8b - 189504000*s8c - 544320000*s8d + 
    1806336000*li7half*sinf + 225792000*li6half*ln2*sinf - 44800*ln2^7*sinf + 
    10080000*ln2*s6*sinf - 52416000*s7a*sinf - 292320000*s7b*sinf + 
    56448000*li6half*z2 + 282240000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 6193600*ln2^6*z2 + 1363824000*s6*z2 + 
    56448000*li5half*sinf*z2 + 197568000*li4half*ln2*sinf*z2 + 
    10584000*ln2^5*sinf*z2 - 595728000*li4half*z2^2 - 10004400*ln2^4*z2^2 - 
    14112000*ln2^3*sinf*z2^2 + 288439200*ln2^2*z2^3 + 
    130284000*ln2*sinf*z2^3 + 375991128*z2^4 + 679392000*li5half*z3 + 
    719712000*li4half*ln2*z3 + 24326400*ln2^5*z3 - 
    268128000*li4half*sinf*z3 - 11172000*ln2^4*sinf*z3 - 
    69804000*ln2^3*z2*z3 + 91728000*ln2^2*sinf*z2*z3 + 43293600*ln2*z2^2*z3 + 
    159188400*sinf*z2^2*z3 + 233478000*ln2^2*z3^2 + 107352000*ln2*sinf*z3^2 + 
    313236000*z2*z3^2 + 232407000*ln2^2*sinf*z5 + 612171000*ln2*z2*z5 + 
    867069000*sinf*z2*z5 + 572150250*z3*z5 - 3406402125*sinf*z7)/56448000, 
 H[1, -1, 0, -1, -1, -1, 1, -1, 1] -> 
  (705600000*li4half^2 - 9088128000*li8half - 733824000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    23520000*li4half*ln2^4 - 128800*ln2^8 + 901152000*ln2^2*s6 - 
    147168000*ln2*s7a + 106848000*ln2*s7b - 2184254100*s8a - 
    15374016000*s8b - 1536192000*s8c - 1328544000*s8d + 
    338688000*li7half*sinf - 169344000*li6half*ln2*sinf - 
    37632000*li4half*ln2^3*sinf - 1870400*ln2^7*sinf + 
    245952000*ln2*s6*sinf - 274176000*s7a*sinf - 104832000*s7b*sinf + 
    84672000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 2469600*ln2^6*z2 + 4103568000*s6*z2 + 
    225792000*li4half*ln2*sinf*z2 + 9643200*ln2^5*sinf*z2 - 
    756806400*li4half*z2^2 + 17388000*ln2^4*z2^2 - 26342400*ln2^3*sinf*z2^2 + 
    136936800*ln2^2*z2^3 + 13910400*ln2*sinf*z2^3 + 611072424*z2^4 + 
    2600640000*li5half*z3 + 606816000*li4half*ln2*z3 - 915600*ln2^5*z3 - 
    112896000*li4half*sinf*z3 - 8820000*ln2^4*sinf*z3 + 
    73248000*ln2^3*z2*z3 + 28224000*ln2^2*sinf*z2*z3 + 
    1521399600*ln2*z2^2*z3 + 57657600*sinf*z2^2*z3 + 302841000*ln2^2*z3^2 - 
    60480000*ln2*sinf*z3^2 + 1559187000*z2*z3^2 - 259749000*ln2^3*z5 - 
    164052000*ln2^2*sinf*z5 + 4327785000*ln2*z2*z5 + 302652000*sinf*z2*z5 - 
    633591000*z3*z5 + 756464625*ln2*z7 - 1087411500*sinf*z7)/56448000, 
 H[1, -1, 0, -1, -1, -1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    9072000*ln2^2*s6 + 47103525*s8a - 608328000*s8b + 159264000*s8c - 
    300384000*s8d + 10080000*ln2*s6*sinf + 131040000*s7a*sinf - 
    10080000*s7b*sinf + 56448000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    98784000*li4half*ln2^2*z2 + 2312800*ln2^6*z2 + 445536000*s6*z2 + 
    225792000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    1646400*ln2^5*sinf*z2 - 44553600*li4half*z2^2 - 12440400*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 - 2100000*ln2^2*z2^3 + 36170400*ln2*sinf*z2^3 + 
    69509784*z2^4 + 8064000*li5half*z3 - 254016000*li4half*ln2*z3 - 
    10651200*ln2^5*z3 - 56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 + 
    84756000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 - 1549800*ln2*z2^2*z3 + 
    21772800*sinf*z2^2*z3 - 212026500*ln2^2*z3^2 + 6804000*ln2*sinf*z3^2 + 
    140962500*z2*z3^2 - 91140000*ln2^3*z5 - 122346000*ln2*z2*z5 - 
    55062000*sinf*z2*z5 - 517096125*z3*z5 - 156893625*sinf*z7)/56448000, 
 H[1, -1, 0, -1, -1, -1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    1680000*ln2^2*s6 - 11386725*s8a - 23016000*s8b + 3360000*s8c - 
    3360000*s8d - 12768000*ln2*s6*sinf + 12768000*s7a*sinf + 
    12768000*s7b*sinf + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    30240000*s6*z2 + 26140800*li4half*z2^2 - 2438800*ln2^4*z2^2 - 
    4782400*ln2^2*z2^3 + 5908000*ln2*sinf*z2^3 + 680864*z2^4 + 
    72576000*li5half*z3 - 28224000*li4half*ln2*z3 - 1780800*ln2^5*z3 + 
    21168000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 + 13104000*ln2^3*z2*z3 - 
    5292000*ln2^2*sinf*z2*z3 + 33503400*ln2*z2^2*z3 - 9727200*sinf*z2^2*z3 - 
    18700500*ln2^2*z3^2 + 4200000*ln2*sinf*z3^2 - 17293500*z2*z3^2 - 
    52416000*ln2*z2*z5 - 51618000*sinf*z2*z5 - 31780875*z3*z5 + 
    95993625*sinf*z7)/9408000, H[1, -1, 0, -1, -1, -1, 0, -1, 1] -> 
  (12096000*li4half^2 + 1008000*li4half*ln2^4 + 21000*ln2^8 - 
    27648000*ln2^2*s6 + 9504000*ln2*s7a + 29664000*ln2*s7b - 9834300*s8a - 
    73584000*s8b + 16128000*s8c - 16128000*s8d - 27072000*ln2*s6*sinf + 
    6912000*s7a*sinf + 47232000*s7b*sinf + 4032000*li6half*z2 + 
    16128000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 123200*ln2^6*z2 + 
    31248000*s6*z2 + 16128000*li5half*sinf*z2 + 12096000*li4half*ln2*sinf*
     z2 + 369600*ln2^5*sinf*z2 - 10483200*li4half*z2^2 - 1444800*ln2^4*z2^2 - 
    1680000*ln2^3*sinf*z2^2 + 10365600*ln2^2*z2^3 + 14179200*ln2*sinf*z2^3 + 
    4606512*z2^4 + 4032000*li5half*z3 - 6048000*li4half*ln2*z3 - 
    285600*ln2^5*z3 - 6048000*li4half*sinf*z3 - 252000*ln2^4*sinf*z3 + 
    5964000*ln2^3*z2*z3 + 5040000*ln2^2*sinf*z2*z3 - 8452800*ln2*z2^2*z3 - 
    9043200*sinf*z2^2*z3 - 29007000*ln2^2*z3^2 - 26262000*ln2*sinf*z3^2 + 
    11718000*z2*z3^2 - 19530000*ln2^3*z5 - 39060000*ln2^2*sinf*z5 - 
    130293000*ln2*z2*z5 - 156132000*sinf*z2*z5 - 34524000*z3*z5 + 
    263073375*ln2*z7 + 251986500*sinf*z7)/8064000, 
 H[1, -1, 0, -1, -1, -1, -1, 1, 1] -> 
  (-197568000*li4half^2 + 2201472000*li8half - 254016000*li6half*ln2^2 - 
    131712000*li5half*ln2^3 - 44688000*li4half*ln2^4 - 719600*ln2^8 - 
    145152000*ln2^2*s6 + 306603675*s8a + 1820952000*s8b + 276192000*s8c - 
    50400000*s8d - 56448000*li7half*sinf - 169344000*li6half*ln2*sinf - 
    141120000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    224000*ln2^7*sinf - 169344000*ln2*s6*sinf + 141120000*s7a*sinf + 
    254016000*li6half*z2 + 282240000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 4900000*ln2^6*z2 - 5040000*s6*z2 + 
    141120000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    235200*ln2^5*sinf*z2 + 121161600*li4half*z2^2 - 3948000*ln2^4*z2^2 + 
    16934400*ln2^3*sinf*z2^2 - 60732000*ln2^2*z2^3 + 64512000*ln2*sinf*z2^3 - 
    119670192*z2^4 - 364896000*li5half*z3 - 296352000*li4half*ln2*z3 - 
    13834800*ln2^5*z3 + 35280000*li4half*sinf*z3 - 2646000*ln2^4*sinf*z3 + 
    51912000*ln2^3*z2*z3 - 8820000*ln2^2*sinf*z2*z3 - 163535400*ln2*z2^2*z3 - 
    7056000*sinf*z2^2*z3 - 181282500*ln2^2*z3^2 + 75852000*ln2*sinf*z3^2 - 
    155767500*z2*z3^2 - 13671000*ln2^3*z5 + 136710000*ln2^2*sinf*z5 - 
    828576000*ln2*z2*z5 + 4410000*sinf*z2*z5 - 528640875*z3*z5 - 
    79159500*sinf*z7)/56448000, H[1, -1, 0, -1, -1, -1, -1, 0, 1] -> 
  (-12096000*li4half^2 - 1008000*li4half*ln2^4 - 21000*ln2^8 + 
    9072000*ln2^2*s6 - 12160575*s8a + 22680000*s8b - 18144000*s8c + 
    18144000*s8d + 10080000*ln2*s6*sinf - 10080000*s7a*sinf - 
    10080000*s7b*sinf - 64512000*li6half*z2 - 64512000*li5half*ln2*z2 - 
    24192000*li4half*ln2^2*z2 - 560000*ln2^6*z2 - 35280000*s6*z2 - 
    16128000*li5half*sinf*z2 - 12096000*li4half*ln2*sinf*z2 - 
    369600*ln2^5*sinf*z2 + 10886400*li4half*z2^2 + 3225600*ln2^4*z2^2 + 
    1680000*ln2^3*sinf*z2^2 - 3074400*ln2^2*z2^3 - 3376800*ln2*sinf*z2^3 + 
    5092128*z2^4 + 20160000*li5half*z3 + 24192000*li4half*ln2*z3 + 
    840000*ln2^5*z3 + 3024000*li4half*sinf*z3 + 126000*ln2^4*sinf*z3 - 
    12012000*ln2^3*z2*z3 - 4284000*ln2^2*sinf*z2*z3 + 5556600*ln2*z2^2*z3 + 
    806400*sinf*z2^2*z3 + 22207500*ln2^2*z3^2 + 5544000*ln2*sinf*z3^2 - 
    1354500*z2*z3^2 + 36477000*ln2*z2*z5 + 25578000*sinf*z2*z5 + 
    13017375*z3*z5 - 25948125*sinf*z7)/8064000, 
 H[1, -1, 0, -1, -1, -1, -1, -1, 1] -> 
  (42336000*li4half^2 + 169344000*li8half + 254016000*li7half*ln2 + 
    155232000*li6half*ln2^2 + 56448000*li5half*ln2^3 + 
    17640000*li4half*ln2^4 + 360500*ln2^8 - 27720000*ln2^2*s6 + 
    27216000*ln2*s7a + 20160000*ln2*s7b + 1949850*s8a + 7560000*s8b - 
    6048000*s8c + 27216000*s8d + 169344000*li7half*sinf + 
    141120000*li6half*ln2*sinf + 56448000*li5half*ln2^2*sinf + 
    14112000*li4half*ln2^3*sinf + 280000*ln2^7*sinf - 70560000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 2508800*ln2^6*z2 - 
    65016000*s6*z2 - 1058400*ln2^5*sinf*z2 - 28425600*li4half*z2^2 + 
    3519600*ln2^4*z2^2 + 18244800*ln2^2*z2^3 + 6451200*ln2*sinf*z2^3 - 
    22668084*z2^4 - 40320000*li5half*z3 + 84672000*li4half*ln2*z3 + 
    6127800*ln2^5*z3 + 2058000*ln2^4*sinf*z3 - 28644000*ln2^3*z2*z3 - 
    50614200*ln2*z2^2*z3 + 48541500*ln2^2*z3^2 - 1417500*z2*z3^2 + 
    13671000*ln2^3*z5 - 40855500*ln2*z2*z5 + 110202750*z3*z5 + 
    181762875*ln2*z7 - 169344000*sinf*z7)/28224000, 
 H[1, -1, -1, 1, 1, 1, 1, 1, 1] -> 
  (-56448000*li8half + 4704000*li6half*ln2^2 + 3500*ln2^8 - 
    3360000*ln2^2*s6 + 3785775*s8a - 31920000*s8b + 6720000*s8c - 
    13776000*s8d + 28224000*li7half*sinf + 9408000*li6half*ln2*sinf + 
    5600*ln2^7*sinf - 4704000*ln2*s6*sinf + 4704000*s7a*sinf - 
    4704000*li6half*z2 - 58800*ln2^6*z2 + 31080000*s6*z2 - 
    78400*ln2^5*sinf*z2 - 2755200*li4half*z2^2 - 144200*ln2^4*z2^2 - 
    78400*ln2^3*sinf*z2^2 + 1663200*ln2^2*z2^3 + 1881600*ln2*sinf*z2^3 + 
    6520644*z2^4 + 27552000*li5half*z3 + 84000*ln2^5*z3 + 
    392000*ln2^4*sinf*z3 - 840000*ln2^3*z2*z3 - 2352000*ln2^2*sinf*z2*z3 - 
    7434000*ln2*z2^2*z3 - 3528000*sinf*z2^2*z3 - 945000*ln2^2*z3^2 + 
    5880000*ln2*sinf*z3^2 - 2541000*z2*z3^2 + 3136000*ln2^3*z5 + 
    9261000*ln2^2*sinf*z5 - 29568000*ln2*z2*z5 - 4557000*sinf*z2*z5 + 
    8596875*z3*z5 - 4520250*sinf*z7)/9408000, 
 H[1, -1, -1, 1, 1, 1, 1, 0, 1] -> 
  (-508032000*li8half - 9408000*li5half*ln2^3 + 65800*ln2^8 + 
    72576000*ln2^2*s6 - 234980550*s8a - 1222704000*s8b - 173376000*s8c - 
    52416000*s8d + 141120000*li7half*sinf - 14112000*li5half*ln2^2*sinf + 
    89600*ln2^7*sinf - 29232000*ln2*s6*sinf + 1008000*s7a*sinf - 
    20160000*s7b*sinf - 56448000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    431200*ln2^6*z2 + 217728000*s6*z2 - 14112000*li5half*sinf*z2 - 
    588000*ln2^5*sinf*z2 - 10483200*li4half*z2^2 + 3326400*ln2^4*z2^2 + 
    2940000*ln2^3*sinf*z2^2 + 907200*ln2^2*z2^3 + 18648000*ln2*sinf*z2^3 + 
    27603792*z2^4 + 147168000*li5half*z3 - 285600*ln2^5*z3 + 
    1176000*ln2^4*sinf*z3 + 21672000*ln2^3*z2*z3 + 7056000*ln2^2*sinf*z2*z3 + 
    187563600*ln2*z2^2*z3 + 19202400*sinf*z2^2*z3 + 27909000*ln2^2*z3^2 + 
    8316000*ln2*sinf*z3^2 + 181629000*z2*z3^2 + 9408000*ln2^3*z5 + 
    34618500*ln2^2*sinf*z5 + 548352000*ln2*z2*z5 + 73993500*sinf*z2*z5 - 
    162429750*z3*z5 - 293115375*sinf*z7)/28224000, 
 H[1, -1, -1, 1, 1, 1, 1, -1, 1] -> 
  (282240000*li8half + 18816000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    154000*ln2^8 + 13104000*ln2^2*s6 - 10002825*s8a + 315000000*s8b - 
    26208000*s8c + 68544000*s8d - 112896000*li7half*sinf + 
    28224000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    190400*ln2^7*sinf + 14112000*ln2*s6*sinf - 14112000*s7a*sinf + 
    14112000*s7b*sinf - 28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    784000*ln2^6*z2 - 158256000*s6*z2 - 470400*ln2^5*sinf*z2 + 
    20764800*li4half*z2^2 + 2805600*ln2^4*z2^2 + 470400*ln2^3*sinf*z2^2 - 
    11390400*ln2^2*z2^3 - 8820000*ln2*sinf*z2^3 - 21731832*z2^4 - 
    130032000*li5half*z3 + 848400*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    588000*ln2^4*sinf*z3 + 3864000*ln2^3*z2*z3 + 15876000*ln2^2*sinf*z2*z3 + 
    44692200*ln2*z2^2*z3 + 8114400*sinf*z2^2*z3 - 10206000*ln2^2*z3^2 - 
    45423000*ln2*sinf*z3^2 + 20097000*z2*z3^2 - 18816000*ln2^3*z5 - 
    55566000*ln2^2*sinf*z5 + 106848000*ln2*z2*z5 - 42336000*sinf*z2*z5 - 
    74678625*z3*z5 - 225792000*ln2*z7 + 144813375*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 1, 1, 0, 1, 1] -> (21168000*li4half^2 + 282240000*li8half - 
    21168000*li6half*ln2^2 + 4704000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 
    48650*ln2^8 + 7560000*ln2^2*s6 + 34498800*s8a + 138852000*s8b + 
    13104000*s8c - 9576000*s8d - 155232000*li7half*sinf - 
    42336000*li6half*ln2*sinf + 7056000*li5half*ln2^2*sinf + 
    2352000*li4half*ln2^3*sinf + 11200*ln2^7*sinf + 30744000*ln2*s6*sinf - 
    2520000*s7a*sinf - 13104000*s7b*sinf + 7056000*li6half*z2 + 
    14112000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 303800*ln2^6*z2 + 
    6804000*s6*z2 + 35280000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 + 
    411600*ln2^5*sinf*z2 - 10382400*li4half*z2^2 + 1287300*ln2^4*z2^2 - 
    764400*ln2^3*sinf*z2^2 - 13834800*ln2^2*z2^3 - 16858800*ln2*sinf*z2^3 - 
    18648702*z2^4 - 76104000*li5half*z3 - 306600*ln2^5*z3 - 
    10584000*li4half*sinf*z3 - 1617000*ln2^4*sinf*z3 + 714000*ln2^3*z2*z3 + 
    9702000*ln2^2*sinf*z2*z3 - 36369900*ln2*z2^2*z3 + 4914000*sinf*z2^2*z3 - 
    5370750*ln2^2*z3^2 - 10206000*ln2*sinf*z3^2 + 5276250*z2*z3^2 - 
    23373000*ln2^3*z5 - 24806250*ln2^2*sinf*z5 + 2583000*ln2*z2*z5 + 
    46100250*sinf*z2*z5 - 34240500*z3*z5 + 21097125*sinf*z7)/14112000, 
 H[1, -1, -1, 1, 1, 1, 0, 0, 1] -> 
  (67737600*li8half - 6773760*li6half*ln2^2 - 1505280*li5half*ln2^3 + 
    4816*ln2^8 - 14555520*ln2^2*s6 + 34886565*s8a + 209160000*s8b + 
    22337280*s8c + 21692160*s8d - 31610880*li7half*sinf - 
    13547520*li6half*ln2*sinf - 2257920*li5half*ln2^2*sinf + 
    6272*ln2^7*sinf + 2338560*ln2*s6*sinf - 9112320*s7a*sinf + 
    10080000*s7b*sinf - 4515840*li6half*z2 - 1128960*li5half*ln2*z2 + 
    2257920*li4half*ln2^2*z2 + 65856*ln2^6*z2 - 65963520*s6*z2 - 
    1128960*li5half*sinf*z2 + 1128960*li4half*ln2*sinf*z2 + 
    18816*ln2^5*sinf*z2 + 3209472*li4half*z2^2 - 731808*ln2^4*z2^2 - 
    658560*ln2^3*sinf*z2^2 + 3957408*ln2^2*z2^3 - 735840*ln2*sinf*z2^3 - 
    5446584*z2^4 - 38021760*li5half*z3 + 392112*ln2^5*z3 + 
    1411200*li4half*sinf*z3 + 152880*ln2^4*sinf*z3 - 2415840*ln2^3*z2*z3 + 
    211680*ln2^2*sinf*z2*z3 - 28492632*ln2*z2^2*z3 - 4669056*sinf*z2^2*z3 - 
    601020*ln2^2*z3^2 - 6310080*ln2*sinf*z3^2 - 27645660*z2*z3^2 + 
    776160*ln2^3*z5 - 17428320*ln2^2*sinf*z5 - 71351280*ln2*z2*z5 - 
    31268160*sinf*z2*z5 + 50887305*z3*z5 + 85398705*sinf*z7)/2257920, 
 H[1, -1, -1, 1, 1, 1, 0, -1, 1] -> 
  (112896000*li4half^2 + 1185408000*li8half - 169344000*li7half*ln2 - 
    141120000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 - 74200*ln2^8 + 12096000*ln2^2*s6 + 
    18144000*ln2*s7a + 187488000*ln2*s7b + 122990175*s8a + 1179864000*s8b - 
    102816000*s8c + 286272000*s8d - 903168000*li7half*sinf - 
    282240000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf - 
    9408000*li4half*ln2^3*sinf - 369600*ln2^7*sinf + 187488000*ln2*s6*sinf - 
    229824000*s7a*sinf + 52416000*s7b*sinf + 112896000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 156800*ln2^6*z2 - 
    636048000*s6*z2 + 28224000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*
     z2 + 2822400*ln2^5*sinf*z2 - 34473600*li4half*z2^2 - 
    9198000*ln2^4*z2^2 - 15993600*ln2^3*sinf*z2^2 - 33062400*ln2^2*z2^3 - 
    82555200*ln2*sinf*z2^3 - 229219992*z2^4 - 614880000*li5half*z3 + 
    148176000*li4half*ln2*z3 + 8475600*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    3822000*ln2^4*sinf*z3 - 71820000*ln2^3*z2*z3 + 
    15876000*ln2^2*sinf*z2*z3 - 308662200*ln2*z2^2*z3 - 
    26359200*sinf*z2^2*z3 + 126000000*ln2^2*z3^2 - 109557000*ln2*sinf*z3^2 - 
    46809000*z2*z3^2 - 161700000*ln2^3*z5 - 269892000*ln2^2*sinf*z5 - 
    251118000*ln2*z2*z5 - 161910000*sinf*z2*z5 + 664279875*z3*z5 + 
    1708426125*ln2*z7 + 975996000*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 1, 1, -1, 1, 1] -> 
  (733824000*li8half - 169344000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 462000*ln2^8 - 207648000*ln2^2*s6 + 
    452500650*s8a + 1922256000*s8b + 274176000*s8c + 191520000*s8d - 
    508032000*li7half*sinf - 338688000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    593600*ln2^7*sinf - 14112000*ln2*s6*sinf - 127008000*s7a*sinf + 
    183456000*s7b*sinf + 169344000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 3057600*ln2^6*z2 - 545328000*s6*z2 + 
    2587200*ln2^5*sinf*z2 + 17136000*li4half*z2^2 - 3225600*ln2^4*z2^2 + 
    470400*ln2^3*sinf*z2^2 + 78909600*ln2^2*z2^3 + 33045600*ln2*sinf*z2^3 - 
    113376216*z2^4 - 411264000*li5half*z3 - 1747200*ln2^5*z3 + 
    21168000*li4half*sinf*z3 - 5586000*ln2^4*sinf*z3 - 7224000*ln2^3*z2*z3 + 
    8820000*ln2^2*sinf*z2*z3 - 309304800*ln2*z2^2*z3 - 
    67032000*sinf*z2^2*z3 - 40761000*ln2^2*z3^2 - 106722000*ln2*sinf*z3^2 - 
    289863000*z2*z3^2 - 18816000*ln2^3*z5 - 328986000*ln2^2*sinf*z5 - 
    653184000*ln2*z2*z5 - 407484000*sinf*z2*z5 + 553502250*z3*z5 + 
    1156908375*sinf*z7)/56448000, H[1, -1, -1, 1, 1, 1, -1, 0, 1] -> 
  (5644800*li4half^2 + 84672000*li8half + 8467200*li6half*ln2^2 + 
    7526400*li5half*ln2^3 + 2587200*li4half*ln2^4 + 49140*ln2^8 - 
    3024000*ln2^2*s6 + 28732725*s8a + 200592000*s8b + 22982400*s8c + 
    10886400*s8d - 11289600*li7half*sinf + 16934400*li6half*ln2*sinf + 
    11289600*li5half*ln2^2*sinf + 2822400*li4half*ln2^3*sinf + 
    49280*ln2^7*sinf + 17539200*ln2*s6*sinf - 604800*s7a*sinf - 
    7660800*s7b*sinf + 8467200*li6half*z2 + 5644800*li5half*ln2*z2 - 
    1411200*li4half*ln2^2*z2 - 199920*ln2^6*z2 - 30240000*s6*z2 + 
    5644800*li5half*sinf*z2 + 2822400*li4half*ln2*sinf*z2 - 
    70560*ln2^5*sinf*z2 + 342720*li4half*z2^2 - 679560*ln2^4*z2^2 - 
    1058400*ln2^3*sinf*z2^2 - 1708560*ln2^2*z2^3 - 5775840*ln2*sinf*z2^3 - 
    777744*z2^4 - 37296000*li5half*z3 + 616560*ln2^5*z3 - 
    2822400*li4half*sinf*z3 + 264600*ln2^4*sinf*z3 - 4166400*ln2^3*z2*z3 + 
    529200*ln2^2*sinf*z2*z3 - 30045960*ln2*z2^2*z3 + 2537640*sinf*z2^2*z3 - 
    3276000*ln2^2*z3^2 - 844200*ln2*sinf*z3^2 - 33333300*z2*z3^2 - 
    9172800*ln2^3*z5 - 6923700*ln2^2*sinf*z5 - 104668200*ln2*z2*z5 + 
    6230700*sinf*z2*z5 + 32912775*z3*z5 - 9174375*sinf*z7)/5644800, 
 H[1, -1, -1, 1, 1, 1, -1, -1, 1] -> 
  (-80640000*li8half + 12096000*li6half*ln2^2 + 2688000*li5half*ln2^3 - 
    9000*ln2^8 + 39312000*ln2^2*s6 - 53721675*s8a - 318024000*s8b - 
    54432000*s8c - 16128000*s8d + 48384000*li7half*sinf + 
    24192000*li6half*ln2*sinf + 4032000*li5half*ln2^2*sinf - 
    11200*ln2^7*sinf + 17280000*ln2*s6*sinf + 6912000*s7a*sinf - 
    41472000*s7b*sinf - 12096000*li6half*z2 - 4032000*li5half*ln2*z2 + 
    50400*ln2^6*z2 + 55440000*s6*z2 + 33600*ln2^5*sinf*z2 - 
    3225600*li4half*z2^2 - 327600*ln2^4*z2^2 - 67200*ln2^3*sinf*z2^2 - 
    11503200*ln2^2*z2^3 - 7392000*ln2*sinf*z2^3 - 7434408*z2^4 + 
    33264000*li5half*z3 - 243600*ln2^5*z3 + 42000*ln2^4*sinf*z3 + 
    672000*ln2^3*z2*z3 - 2016000*ln2^2*sinf*z2*z3 + 38215800*ln2*z2^2*z3 + 
    10764000*sinf*z2^2*z3 + 18459000*ln2^2*z3^2 + 22185000*ln2*sinf*z3^2 + 
    45738000*z2*z3^2 + 84000*ln2^3*z5 + 46998000*ln2^2*sinf*z5 + 
    163170000*ln2*z2*z5 + 123336000*sinf*z2*z5 + 2102625*z3*z5 + 
    61488000*ln2*z7 - 260361000*sinf*z7)/8064000, 
 H[1, -1, -1, 1, 1, 0, 1, 1, 1] -> 
  (-254016000*li4half^2 - 225792000*li8half - 21168000*li4half*ln2^4 - 
    446600*ln2^8 - 122976000*ln2^2*s6 + 82578825*s8a + 980280000*s8b + 
    34272000*s8c + 304416000*s8d + 56448000*li7half*sinf - 11200*ln2^7*sinf - 
    143136000*ln2*s6*sinf - 68544000*s7a*sinf + 199584000*s7b*sinf - 
    169344000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 3332000*ln2^6*z2 - 
    672336000*s6*z2 - 169344000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 1881600*ln2^5*sinf*z2 + 39715200*li4half*z2^2 - 
    8811600*ln2^4*z2^2 + 8232000*ln2^3*sinf*z2^2 + 82504800*ln2^2*z2^3 + 
    51357600*ln2*sinf*z2^3 - 30297528*z2^4 - 58464000*li5half*z3 + 
    722400*ln2^5*z3 + 169344000*li4half*sinf*z3 + 7350000*ln2^4*sinf*z3 - 
    5460000*ln2^3*z2*z3 - 42336000*ln2^2*sinf*z2*z3 - 29093400*ln2*z2^2*z3 - 
    118767600*sinf*z2^2*z3 + 34429500*ln2^2*z3^2 - 7182000*ln2*sinf*z3^2 - 
    145876500*z2*z3^2 + 85554000*ln2^3*z5 - 131418000*ln2^2*sinf*z5 - 
    190134000*ln2*z2*z5 - 553644000*sinf*z2*z5 + 506260125*z3*z5 + 
    1151805375*sinf*z7)/56448000, H[1, -1, -1, 1, 1, 0, 1, 0, 1] -> 
  (84672000*li4half^2 + 225792000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 - 166600*ln2^8 + 85680000*ln2^2*s6 - 
    138691350*s8a - 1080576000*s8b + 96768000*s8c - 435456000*s8d + 
    451584000*li7half*sinf + 451584000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 403200*ln2^7*sinf + 34272000*ln2*s6*sinf + 
    233856000*s7a*sinf - 175392000*s7b*sinf + 225792000*li6half*z2 + 
    225792000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 + 
    976752000*s6*z2 + 112896000*li5half*sinf*z2 + 940800*ln2^5*sinf*z2 - 
    32054400*li4half*z2^2 + 7719600*ln2^4*z2^2 - 2587200*ln2^3*sinf*z2^2 - 
    98918400*ln2^2*z2^3 - 43461600*ln2*sinf*z2^3 + 134040504*z2^4 + 
    532224000*li5half*z3 - 8198400*ln2^5*z3 - 148176000*li4half*sinf*z3 - 
    10878000*ln2^4*sinf*z3 - 13860000*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 + 132854400*ln2*z2^2*z3 + 
    119044800*sinf*z2^2*z3 - 128929500*ln2^2*z3^2 + 61677000*ln2*sinf*z3^2 + 
    119479500*z2*z3^2 - 21462000*ln2^3*z5 + 364266000*ln2^2*sinf*z5 - 
    350721000*ln2*z2*z5 + 497133000*sinf*z2*z5 - 1257637500*z3*z5 - 
    1361107125*sinf*z7)/56448000, H[1, -1, -1, 1, 1, 0, 1, -1, 1] -> 
  (-937036800*li8half + 112896000*li7half*ln2 + 135475200*li6half*ln2^2 - 
    5644800*li4half*ln2^4 - 92680*ln2^8 + 122169600*ln2^2*s6 + 
    22579200*ln2*s7a - 76204800*ln2*s7b - 274572900*s8a - 1728115200*s8b - 
    159667200*s8c - 173376000*s8d + 824140800*li7half*sinf + 
    270950400*li6half*ln2*sinf - 7526400*li4half*ln2^3*sinf - 
    100800*ln2^7*sinf - 62092800*ln2*s6*sinf + 191923200*s7a*sinf - 
    197568000*s7b*sinf - 135475200*li6half*z2 + 28224000*li4half*ln2^2*z2 + 
    1262240*ln2^6*z2 + 448358400*s6*z2 + 16934400*li4half*ln2*sinf*z2 + 
    1081920*ln2^5*sinf*z2 - 28465920*li4half*z2^2 - 5031600*ln2^4*z2^2 + 
    329280*ln2^3*sinf*z2^2 - 3225600*ln2^2*z2^3 + 29292480*ln2*sinf*z2^3 + 
    98600328*z2^4 + 346752000*li5half*z3 - 67737600*li4half*ln2*z3 - 
    5100480*ln2^5*z3 - 7056000*li4half*sinf*z3 + 470400*ln2^4*sinf*z3 + 
    43243200*ln2^3*z2*z3 - 352800*ln2^2*sinf*z2*z3 + 266842800*ln2*z2^2*z3 + 
    60963840*sinf*z2^2*z3 + 5739300*ln2^2*z3^2 + 150028200*ln2*sinf*z3^2 + 
    230485500*z2*z3^2 + 105928200*ln2^3*z5 + 392666400*ln2^2*sinf*z5 + 
    682920000*ln2*z2*z5 + 592527600*sinf*z2*z5 - 305008200*z3*z5 - 
    542705625*ln2*z7 - 1715225400*sinf*z7)/11289600, 
 H[1, -1, -1, 1, 1, 0, 0, 1, 1] -> (6773760*li4half^2 - 67737600*li8half + 
    9031680*li6half*ln2^2 + 3010560*li5half*ln2^3 + 1128960*li4half*ln2^4 + 
    21056*ln2^8 + 12378240*ln2^2*s6 - 23990085*s8a - 149970240*s8b - 
    15724800*s8c - 15886080*s8d + 36126720*li7half*sinf + 
    18063360*li6half*ln2*sinf + 4515840*li5half*ln2^2*sinf + 
    752640*li4half*ln2^3*sinf + 11648*ln2^7*sinf + 3386880*ln2*s6*sinf + 
    5644800*s7a*sinf - 10160640*s7b*sinf - 27095040*li6half*z2 - 
    6773760*li5half*ln2*z2 - 2257920*li4half*ln2^2*z2 - 106624*ln2^6*z2 + 
    30643200*s6*z2 + 6773760*li5half*sinf*z2 + 4515840*li4half*ln2*sinf*z2 + 
    94080*ln2^5*sinf*z2 - 5886720*li4half*z2^2 + 74592*ln2^4*z2^2 - 
    338688*ln2^3*sinf*z2^2 + 75936*ln2^2*z2^3 + 1397760*ln2*sinf*z2^3 + 
    9007440*z2^4 + 22176000*li5half*z3 - 109536*ln2^5*z3 - 
    3386880*li4half*sinf*z3 - 47040*ln2^4*sinf*z3 + 1753920*ln2^3*z2*z3 + 
    987840*ln2^2*sinf*z2*z3 + 17579016*ln2*z2^2*z3 + 4367664*sinf*z2^2*z3 + 
    456120*ln2^2*z3^2 + 3545640*ln2*sinf*z3^2 + 24176880*z2*z3^2 - 
    3292800*ln2^3*z5 + 10372320*ln2^2*sinf*z5 + 54847800*ln2*z2*z5 + 
    23302440*sinf*z2*z5 - 21689955*z3*z5 - 85271760*sinf*z7)/2257920, 
 H[1, -1, -1, 1, 1, 0, 0, 0, 1] -> (-1512000*ln2^2*s6 + 2994075*s8a + 
    11088000*s8b + 2016000*s8c + 2016000*s8d - 1008000*s7a*sinf + 
    1008000*s7b*sinf + 8064000*li6half*z2 + 6048000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 44800*ln2^6*z2 + 2016000*li5half*sinf*z2 + 
    1008000*li4half*ln2*sinf*z2 + 25200*ln2^5*sinf*z2 - 604800*li4half*z2^2 - 
    268800*ln2^4*z2^2 - 142800*ln2^3*sinf*z2^2 + 1652400*ln2^2*z2^3 + 
    1062000*ln2*sinf*z2^3 - 1317888*z2^4 - 6552000*li5half*z3 + 
    54600*ln2^5*z3 + 1260000*li4half*sinf*z3 + 52500*ln2^4*sinf*z3 - 
    126000*ln2^3*z2*z3 - 63000*ln2^2*sinf*z2*z3 - 3603600*ln2*z2^2*z3 - 
    844200*sinf*z2^2*z3 + 283500*ln2^2*z3^2 - 126000*ln2*sinf*z3^2 - 
    4969125*z2*z3^2 - 304500*ln2^3*z5 - 2409750*ln2^2*sinf*z5 - 
    12820500*ln2*z2*z5 - 5433750*sinf*z2*z5 + 14356125*z3*z5 + 
    5040000*sinf*z7)/1008000, H[1, -1, -1, 1, 1, 0, 0, -1, 1] -> 
  (32256000*li4half^2 + 258048000*li8half + 16128000*li7half*ln2 - 
    32256000*li6half*ln2^2 - 10752000*li5half*ln2^3 + 672000*li4half*ln2^4 + 
    20000*ln2^8 - 115488000*ln2^2*s6 + 16704000*ln2*s7a + 6624000*ln2*s7b + 
    194222700*s8a + 1042272000*s8b + 133056000*s8c + 108864000*s8d - 
    112896000*li7half*sinf - 64512000*li6half*ln2*sinf - 
    16128000*li5half*ln2^2*sinf - 2688000*li4half*ln2^3*sinf - 
    44800*ln2^7*sinf + 1728000*ln2*s6*sinf - 66240000*s7a*sinf + 
    60768000*s7b*sinf + 16128000*li5half*ln2*z2 - 8064000*li4half*ln2^2*z2 - 
    302400*ln2^6*z2 - 328608000*s6*z2 + 16128000*li5half*sinf*z2 + 
    8064000*li4half*ln2*sinf*z2 + 403200*ln2^5*sinf*z2 - 
    4435200*li4half*z2^2 + 621600*ln2^4*z2^2 - 840000*ln2^3*sinf*z2^2 + 
    48429600*ln2^2*z2^3 + 15650400*ln2*sinf*z2^3 - 21492168*z2^4 - 
    241920000*li5half*z3 + 42336000*li4half*ln2*z3 + 3511200*ln2^5*z3 - 
    2016000*li4half*sinf*z3 - 420000*ln2^4*sinf*z3 - 29904000*ln2^3*z2*z3 + 
    756000*ln2^2*sinf*z2*z3 - 182059200*ln2*z2^2*z3 - 17269200*sinf*z2^2*z3 + 
    22864500*ln2^2*z3^2 - 41409000*ln2*sinf*z3^2 - 158476500*z2*z3^2 + 
    16317000*ln2^3*z5 - 113211000*ln2^2*sinf*z5 - 428139000*ln2*z2*z5 - 
    199926000*sinf*z2*z5 + 347397750*z3*z5 + 29939625*ln2*z7 + 
    383500125*sinf*z7)/8064000, H[1, -1, -1, 1, 1, 0, -1, 1, 1] -> 
  (4798080000*li8half - 508032000*li6half*ln2^2 + 28224000*li4half*ln2^4 + 
    589400*ln2^8 - 787248000*ln2^2*s6 + 1582041825*s8a + 10210536000*s8b + 
    1179360000*s8c + 796320000*s8d - 3612672000*li7half*sinf - 
    1185408000*li6half*ln2*sinf + 37632000*li4half*ln2^3*sinf + 
    638400*ln2^7*sinf + 141120000*ln2*s6*sinf - 705600000*s7a*sinf + 
    903168000*s7b*sinf + 508032000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 4978400*ln2^6*z2 - 2382912000*s6*z2 + 
    84672000*li5half*sinf*z2 - 3998400*ln2^5*sinf*z2 + 
    187488000*li4half*z2^2 + 15632400*ln2^4*z2^2 - 17169600*ln2^3*sinf*z2^2 + 
    27720000*ln2^2*z2^3 - 142934400*ln2*sinf*z2^3 - 300719088*z2^4 - 
    1867824000*li5half*z3 + 18622800*ln2^5*z3 - 28224000*li4half*sinf*z3 + 
    2646000*ln2^4*sinf*z3 - 158004000*ln2^3*z2*z3 + 
    17640000*ln2^2*sinf*z2*z3 - 1314721800*ln2*z2^2*z3 - 
    242726400*sinf*z2^2*z3 - 88231500*ln2^2*z3^2 - 672525000*ln2*sinf*z3^2 - 
    1327063500*z2*z3^2 + 51156000*ln2^3*z5 - 1481760000*ln2^2*sinf*z5 - 
    3740499000*ln2*z2*z5 - 2867382000*sinf*z2*z5 + 1147489875*z3*z5 + 
    7935464250*sinf*z7)/56448000, H[1, -1, -1, 1, 1, 0, -1, 0, 1] -> 
  (22579200*li6half*ln2^2 + 7526400*li5half*ln2^3 - 31360*ln2^8 + 
    6552000*ln2^2*s6 + 207900*s8a - 60883200*s8b + 8064000*s8c - 
    19353600*s8d + 45158400*li7half*sinf + 45158400*li6half*ln2*sinf + 
    11289600*li5half*ln2^2*sinf - 40320*ln2^7*sinf + 5644800*ln2*s6*sinf + 
    15523200*s7a*sinf - 14112000*s7b*sinf + 47980800*li6half*z2 + 
    22579200*li5half*ln2*z2 + 35280*ln2^6*z2 + 66225600*s6*z2 + 
    11289600*li5half*sinf*z2 + 94080*ln2^5*sinf*z2 - 3870720*li4half*z2^2 - 
    472920*ln2^4*z2^2 - 352800*ln2^3*sinf*z2^2 - 4331040*ln2^2*z2^3 - 
    104160*ln2*sinf*z2^3 - 1316964*z2^4 + 4838400*li5half*z3 - 
    322560*ln2^5*z3 - 352800*ln2^4*sinf*z3 - 361200*ln2^3*z2*z3 - 
    882000*ln2^2*sinf*z2*z3 - 4175640*ln2*z2^2*z3 + 3986640*sinf*z2^2*z3 - 
    6624450*ln2^2*z3^2 + 8423100*ln2*sinf*z3^2 - 8429400*z2*z3^2 - 
    6056400*ln2^3*z5 + 19624500*ln2^2*sinf*z5 - 26352900*ln2*z2*z5 + 
    38631600*sinf*z2*z5 - 6959925*z3*z5 - 119907900*sinf*z7)/5644800, 
 H[1, -1, -1, 1, 1, 0, -1, -1, 1] -> 
  (-225792000*li7half*ln2 - 56448000*li6half*ln2^2 - 33600*ln2^8 - 
    75600000*ln2^2*s6 - 52416000*ln2*s7a + 74592000*ln2*s7b + 171898650*s8a + 
    861840000*s8b + 129024000*s8c + 96768000*s8d - 225792000*li7half*sinf - 
    56448000*li6half*ln2*sinf - 33600*ln2^7*sinf + 18144000*ln2*s6*sinf - 
    88704000*s7a*sinf + 122976000*s7b*sinf + 28224000*li6half*z2 + 
    274400*ln2^6*z2 - 271152000*s6*z2 + 235200*ln2^5*sinf*z2 + 
    19353600*li4half*z2^2 - 3603600*ln2^4*z2^2 - 3763200*ln2^3*sinf*z2^2 + 
    43428000*ln2^2*z2^3 + 12919200*ln2*sinf*z2^3 - 5406096*z2^4 - 
    193536000*li5half*z3 + 1691200*ln2^5*z3 + 98000*ln2^4*sinf*z3 - 
    16324000*ln2^3*z2*z3 - 163413600*ln2*z2^2*z3 - 35061600*sinf*z2^2*z3 - 
    63084000*ln2^2*z3^2 - 87801000*ln2*sinf*z3^2 - 150643500*z2*z3^2 - 
    130977000*ln2^3*z5 - 216972000*ln2^2*sinf*z5 - 598248000*ln2*z2*z5 - 
    367857000*sinf*z2*z5 + 335763750*z3*z5 + 501409125*ln2*z7 + 
    803840625*sinf*z7)/18816000, H[1, -1, -1, 1, 1, -1, 1, 1, 1] -> 
  (-846720000*li8half + 254016000*li6half*ln2^2 + 112896000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 282800*ln2^8 + 269136000*ln2^2*s6 - 
    518877450*s8a - 2343600000*s8b - 326592000*s8c - 223776000*s8d + 
    677376000*li7half*sinf + 508032000*li6half*ln2*sinf + 
    169344000*li5half*ln2^2*sinf + 28224000*li4half*ln2^3*sinf + 
    347200*ln2^7*sinf + 54432000*ln2*s6*sinf + 157248000*s7a*sinf - 
    223776000*s7b*sinf - 254016000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1332800*ln2^6*z2 + 616896000*s6*z2 - 
    705600*ln2^5*sinf*z2 - 23587200*li4half*z2^2 + 1545600*ln2^4*z2^2 + 
    470400*ln2^3*sinf*z2^2 - 95558400*ln2^2*z2^3 - 39564000*ln2*sinf*z2^3 + 
    123574608*z2^4 + 489888000*li5half*z3 - 4317600*ln2^5*z3 - 
    21168000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 + 41412000*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 + 360057600*ln2*z2^2*z3 + 
    71920800*sinf*z2^2*z3 + 6457500*ln2^2*z3^2 + 117621000*ln2*sinf*z3^2 + 
    386284500*z2*z3^2 - 32928000*ln2^3*z5 + 326781000*ln2^2*sinf*z5 + 
    909216000*ln2*z2*z5 + 542241000*sinf*z2*z5 - 668792250*z3*z5 - 
    1517347125*sinf*z7)/56448000, H[1, -1, -1, 1, 1, -1, 1, 0, 1] -> 
  (-2419200*li4half^2 + 26611200*li8half - 3628800*li6half*ln2^2 - 
    1344000*li5half*ln2^3 - 504000*li4half*ln2^4 - 9980*ln2^8 - 
    9172800*ln2^2*s6 + 15433425*s8a + 84369600*s8b + 12499200*s8c + 
    6652800*s8d - 13708800*li7half*sinf - 7257600*li6half*ln2*sinf - 
    2016000*li5half*ln2^2*sinf - 403200*li4half*ln2^3*sinf - 
    7360*ln2^7*sinf - 2880000*ln2*s6*sinf - 2966400*s7a*sinf + 
    7315200*s7b*sinf + 1209600*li6half*z2 - 1612800*li5half*ln2*z2 - 
    604800*li4half*ln2^2*z2 + 15120*ln2^6*z2 - 22377600*s6*z2 - 
    1209600*li5half*sinf*z2 - 1209600*li4half*ln2*sinf*z2 - 
    10080*ln2^5*sinf*z2 + 2721600*li4half*z2^2 + 115080*ln2^4*z2^2 + 
    84000*ln2^3*sinf*z2^2 + 1833840*ln2^2*z2^3 + 760320*ln2*sinf*z2^3 - 
    1298052*z2^4 - 9878400*li5half*z3 + 55440*ln2^5*z3 + 
    604800*li4half*sinf*z3 - 8400*ln2^4*sinf*z3 - 1680000*ln2^3*z2*z3 - 
    705600*ln2^2*sinf*z2*z3 - 10475640*ln2*z2^2*z3 - 2093040*sinf*z2^2*z3 - 
    1537200*ln2^2*z3^2 - 3267000*ln2*sinf*z3^2 - 11970000*z2*z3^2 + 
    2074800*ln2^3*z5 - 6848100*ln2^2*sinf*z5 - 33837300*ln2*z2*z5 - 
    19485000*sinf*z2*z5 + 9248400*z3*z5 + 47524725*sinf*z7)/806400, 
 H[1, -1, -1, 1, 1, -1, 1, -1, 1] -> 
  (677376000*li8half - 169344000*li6half*ln2^2 - 56448000*li5half*ln2^3 + 
    242200*ln2^8 - 438480000*ln2^2*s6 + 504048825*s8a + 2904552000*s8b + 
    538272000*s8c + 139104000*s8d - 508032000*li7half*sinf - 
    338688000*li6half*ln2*sinf - 84672000*li5half*ln2^2*sinf + 
    324800*ln2^7*sinf - 266112000*ln2*s6*sinf - 72576000*s7a*sinf + 
    435456000*s7b*sinf + 169344000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    2077600*ln2^6*z2 - 447552000*s6*z2 - 2116800*ln2^5*sinf*z2 + 
    27820800*li4half*z2^2 + 3922800*ln2^4*z2^2 - 470400*ln2^3*sinf*z2^2 + 
    114609600*ln2^2*z2^3 + 76608000*ln2*sinf*z2^3 + 70331832*z2^4 - 
    299376000*li5half*z3 + 7669200*ln2^5*z3 + 6468000*ln2^4*sinf*z3 - 
    37884000*ln2^3*z2*z3 - 373552200*ln2*z2^2*z3 - 113198400*sinf*z2^2*z3 - 
    128173500*ln2^2*z3^2 - 195678000*ln2*sinf*z3^2 - 461695500*z2*z3^2 + 
    114954000*ln2^3*z5 - 326781000*ln2^2*sinf*z5 - 1794303000*ln2*z2*z5 - 
    1295028000*sinf*z2*z5 + 39540375*z3*z5 - 236376000*ln2*z7 + 
    2734782750*sinf*z7)/56448000, H[1, -1, -1, 1, 1, -1, 0, 1, 1] -> 
  (-479808000*li8half - 37632000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 
    286300*ln2^8 + 34272000*ln2^2*s6 - 47190150*s8a - 542304000*s8b - 
    68544000*s8c + 5040000*s8d + 225792000*li7half*sinf - 
    56448000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    358400*ln2^7*sinf - 19152000*ln2*s6*sinf + 19152000*s7a*sinf - 
    16128000*s7b*sinf + 14112000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 
    1979600*ln2^6*z2 + 21672000*s6*z2 - 42336000*li5half*sinf*z2 + 
    1528800*ln2^5*sinf*z2 - 13104000*li4half*z2^2 - 6925800*ln2^4*z2^2 - 
    3175200*ln2^3*sinf*z2^2 + 25905600*ln2^2*z2^3 + 26308800*ln2*sinf*z2^3 - 
    1032804*z2^4 + 113400000*li5half*z3 - 1533000*ln2^5*z3 + 
    14112000*li4half*sinf*z3 - 147000*ln2^4*sinf*z3 + 9744000*ln2^3*z2*z3 - 
    5292000*ln2^2*sinf*z2*z3 + 75033000*ln2*z2^2*z3 - 1801800*sinf*z2^2*z3 + 
    10741500*ln2^2*z3^2 + 26145000*ln2*sinf*z3^2 + 58464000*z2*z3^2 + 
    10290000*ln2^3*z5 + 49612500*ln2^2*sinf*z5 + 258111000*ln2*z2*z5 + 
    129181500*sinf*z2*z5 + 83254500*z3*z5 - 357674625*sinf*z7)/28224000, 
 H[1, -1, -1, 1, 1, -1, 0, 0, 1] -> (56448000*li4half^2 - 903168000*li8half + 
    112896000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 212800*ln2^8 + 259056000*ln2^2*s6 - 
    492735600*s8a - 2813328000*s8b - 362880000*s8c - 258048000*s8d + 
    451584000*li7half*sinf + 225792000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    145600*ln2^7*sinf + 54432000*ln2*s6*sinf + 100800000*s7a*sinf - 
    209664000*s7b*sinf + 112896000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 548800*ln2^6*z2 + 904176000*s6*z2 + 
    56448000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 - 84067200*li4half*z2^2 + 260400*ln2^4*z2^2 + 
    1176000*ln2^3*sinf*z2^2 - 50500800*ln2^2*z2^3 - 5443200*ln2*sinf*z2^3 + 
    46904544*z2^4 + 346752000*li5half*z3 - 2184000*ln2^5*z3 - 
    14112000*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 + 46242000*ln2^3*z2*z3 + 
    14994000*ln2^2*sinf*z2*z3 + 329553000*ln2*z2^2*z3 + 
    60895800*sinf*z2^2*z3 + 40776750*ln2^2*z3^2 + 105493500*ln2*sinf*z3^2 + 
    337097250*z2*z3^2 - 55272000*ln2^3*z5 + 217854000*ln2^2*sinf*z5 + 
    903640500*ln2*z2*z5 + 536287500*sinf*z2*z5 - 325591875*z3*z5 - 
    1414539000*sinf*z7)/28224000, H[1, -1, -1, 1, 1, -1, 0, -1, 1] -> 
  (-903168000*li8half + 169344000*li7half*ln2 - 75264000*li5half*ln2^3 - 
    28224000*li4half*ln2^4 - 604800*ln2^8 + 29232000*ln2^2*s6 + 
    66528000*ln2*s7a - 102816000*ln2*s7b - 91726425*s8a - 1080072000*s8b - 
    191520000*s8c + 50400000*s8d + 620928000*li7half*sinf - 
    112896000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf - 
    750400*ln2^7*sinf + 22176000*ln2*s6*sinf - 22176000*s7a*sinf - 
    262080000*s7b*sinf + 112896000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 3724000*ln2^6*z2 - 30240000*s6*z2 + 
    2822400*ln2^5*sinf*z2 - 18144000*li4half*z2^2 + 2301600*ln2^4*z2^2 + 
    11289600*ln2^3*sinf*z2^2 + 76860000*ln2^2*z2^3 + 45864000*ln2*sinf*z2^3 - 
    63740448*z2^4 - 129024000*li5half*z3 - 4334400*ln2^5*z3 + 
    28224000*li4half*sinf*z3 - 5586000*ln2^4*sinf*z3 + 1596000*ln2^3*z2*z3 - 
    8820000*ln2^2*sinf*z2*z3 + 52680600*ln2*z2^2*z3 + 52416000*sinf*z2^2*z3 + 
    217476000*ln2^2*z3^2 + 187047000*ln2*sinf*z3^2 + 50368500*z2*z3^2 + 
    189042000*ln2^3*z5 + 269892000*ln2^2*sinf*z5 + 830277000*ln2*z2*z5 + 
    776034000*sinf*z2*z5 + 883866375*z3*z5 - 501629625*ln2*z7 - 
    2003337000*sinf*z7)/56448000, H[1, -1, -1, 1, 1, -1, -1, 1, 1] -> 
  (-28*ln2^8 - 32*ln2^7*sinf + 112*ln2^6*z2 - 2184*ln2^4*z2^2 - 
    1344*ln2^3*sinf*z2^2 - 2448*ln2^2*z2^3 + 1188*z2^4 + 672*ln2^5*z3 + 
    840*ln2^4*sinf*z3 - 1680*ln2^3*z2*z3 + 3528*ln2*z2^2*z3 + 
    1008*sinf*z2^2*z3 - 630*ln2^2*z3^2 - 1260*ln2*sinf*z3^2 + 630*z2*z3^2 + 
    15960*ln2^3*z5 + 3780*ln2^2*sinf*z5 - 3780*ln2*z2*z5 - 9135*z3*z5 - 
    2835*sinf*z7)/161280, H[1, -1, -1, 1, 1, -1, -1, 0, 1] -> 
  (-903168000*li8half + 112896000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 114800*ln2^8 + 259056000*ln2^2*s6 - 
    492735600*s8a - 2813328000*s8b - 362880000*s8c - 258048000*s8d + 
    451584000*li7half*sinf + 225792000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    145600*ln2^7*sinf + 26208000*ln2*s6*sinf + 129024000*s7a*sinf - 
    181440000*s7b*sinf - 112896000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 784000*ln2^6*z2 + 748944000*s6*z2 - 
    588000*ln2^5*sinf*z2 - 44553600*li4half*z2^2 + 4258800*ln2^4*z2^2 + 
    4116000*ln2^3*sinf*z2^2 - 68846400*ln2^2*z2^3 - 13557600*ln2*sinf*z2^3 + 
    67558464*z2^4 + 530208000*li5half*z3 - 4300800*ln2^5*z3 - 
    7056000*li4half*sinf*z3 - 147000*ln2^4*sinf*z3 + 45360000*ln2^3*z2*z3 + 
    2646000*ln2^2*sinf*z2*z3 + 396496800*ln2*z2^2*z3 + 
    54545400*sinf*z2^2*z3 + 23247000*ln2^2*z3^2 + 105714000*ln2*sinf*z3^2 + 
    415264500*z2*z3^2 - 40719000*ln2^3*z5 + 239683500*ln2^2*sinf*z5 + 
    1158759000*ln2*z2*z5 + 543343500*sinf*z2*z5 - 602374500*z3*z5 - 
    1307761875*sinf*z7)/28224000, H[1, -1, -1, 1, 1, -1, -1, -1, 1] -> 
  (11289600*li8half - 5644800*li6half*ln2^2 - 3763200*li5half*ln2^3 - 
    1411200*li4half*ln2^4 - 33040*ln2^8 + 6854400*ln2^2*s6 + 530775*s8a + 
    907200*s8b - 10886400*s8c + 8064000*s8d - 11289600*li7half*sinf - 
    11289600*li6half*ln2*sinf - 5644800*li5half*ln2^2*sinf - 
    1881600*li4half*ln2^3*sinf - 42560*ln2^7*sinf + 10886400*ln2*s6*sinf - 
    8064000*s7a*sinf - 10886400*s7b*sinf + 5644800*li6half*z2 + 
    5644800*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 219520*ln2^6*z2 - 
    16128000*s6*z2 + 188160*ln2^5*sinf*z2 + 201600*li4half*z2^2 - 
    191520*ln2^4*z2^2 + 94080*ln2^3*sinf*z2^2 - 171360*ln2^2*z2^3 - 
    1905120*ln2*sinf*z2^3 - 8885088*z2^4 - 17539200*li5half*z3 - 
    230160*ln2^5*z3 + 1411200*li4half*sinf*z3 - 411600*ln2^4*sinf*z3 - 
    520800*ln2^3*z2*z3 - 352800*ln2^2*sinf*z2*z3 - 2915640*ln2*z2^2*z3 + 
    1753920*sinf*z2^2*z3 + 8763300*ln2^2*z3^2 + 4384800*ln2*sinf*z3^2 + 
    447300*z2*z3^2 - 2940000*ln2^3*z5 - 264600*ln2^2*sinf*z5 + 
    35658000*ln2*z2*z5 + 32067000*sinf*z2*z5 + 38601675*z3*z5 - 
    2822400*ln2*z7 - 51526125*sinf*z7)/11289600, 
 H[1, -1, -1, 1, 0, 1, 1, 1, 1] -> (254016000*li4half^2 + 338688000*li8half - 
    28224000*li6half*ln2^2 + 21168000*li4half*ln2^4 + 410200*ln2^8 + 
    97776000*ln2^2*s6 - 22714650*s8a + 191520000*s8b - 40320000*s8c + 
    82656000*s8d - 169344000*li7half*sinf - 56448000*li6half*ln2*sinf - 
    44800*ln2^7*sinf + 191520000*ln2*s6*sinf - 36288000*s7a*sinf - 
    163296000*s7b*sinf + 28224000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 2312800*ln2^6*z2 - 264096000*s6*z2 + 
    112896000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    3057600*ln2^5*sinf*z2 + 37699200*li4half*z2^2 + 2276400*ln2^4*z2^2 - 
    15523200*ln2^3*sinf*z2^2 - 21520800*ln2^2*z2^3 - 41277600*ln2*sinf*z2^3 - 
    31463064*z2^4 - 532224000*li5half*z3 + 2788800*ln2^5*z3 - 
    169344000*li4half*sinf*z3 - 9114000*ln2^4*sinf*z3 - 3192000*ln2^3*z2*z3 + 
    79380000*ln2^2*sinf*z2*z3 + 61891200*ln2*z2^2*z3 + 
    173779200*sinf*z2^2*z3 - 26523000*ln2^2*z3^2 - 109746000*ln2*sinf*z3^2 + 
    47439000*z2*z3^2 - 102606000*ln2^3*z5 - 30870000*ln2^2*sinf*z5 + 
    315882000*ln2*z2*z5 + 524664000*sinf*z2*z5 - 124566750*z3*z5 - 
    1189085625*sinf*z7)/56448000, H[1, -1, -1, 1, 0, 1, 1, 0, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    75096000*ln2^2*s6 - 45750600*s8a - 558432000*s8b - 100800000*s8c - 
    68544000*s8d + 21168000*ln2*s6*sinf + 28224000*s7a*sinf - 
    42336000*s7b*sinf - 28224000*li6half*z2 + 21168000*li4half*ln2^2*z2 + 
    842800*ln2^6*z2 + 225288000*s6*z2 - 41227200*li4half*z2^2 - 
    2011800*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 - 21067200*ln2^2*z2^3 - 
    10483200*ln2*sinf*z2^3 - 33778476*z2^4 + 137088000*li5half*z3 - 
    1142400*ln2^5*z3 + 74088000*li4half*sinf*z3 + 3087000*ln2^4*sinf*z3 + 
    12894000*ln2^3*z2*z3 - 17640000*ln2^2*sinf*z2*z3 + 13343400*ln2*z2^2*z3 - 
    58564800*sinf*z2^2*z3 + 38760750*ln2^2*z3^2 + 84451500*ln2*sinf*z3^2 + 
    32712750*z2*z3^2 - 26019000*ln2^3*z5 + 29326500*ln2^2*sinf*z5 + 
    226327500*ln2*z2*z5 + 88200000*sinf*z2*z5 + 211388625*z3*z5 - 
    3472875*sinf*z7)/28224000, H[1, -1, -1, 1, 0, 1, 1, -1, 1] -> 
  (169344000*li8half - 101606400*li7half*ln2 - 129830400*li6half*ln2^2 - 
    15052800*li5half*ln2^3 + 2822400*li4half*ln2^4 + 87080*ln2^8 - 
    57859200*ln2^2*s6 - 12096000*ln2*s7a + 58464000*ln2*s7b + 37204650*s8a + 
    75600000*s8b + 7257600*s8c + 1209600*s8d - 609638400*li7half*sinf - 
    259660800*li6half*ln2*sinf - 22579200*li5half*ln2^2*sinf + 
    3763200*li4half*ln2^3*sinf + 105280*ln2^7*sinf + 23385600*ln2*s6*sinf - 
    156038400*s7a*sinf + 154425600*s7b*sinf + 129830400*li6half*z2 + 
    22579200*li5half*ln2*z2 - 22579200*li4half*ln2^2*z2 - 1803200*ln2^6*z2 + 
    59673600*s6*z2 - 16934400*li4half*ln2*sinf*z2 - 2069760*ln2^5*sinf*z2 - 
    8789760*li4half*z2^2 + 13581120*ln2^4*z2^2 + 5080320*ln2^3*sinf*z2^2 - 
    987840*ln2^2*z2^3 - 11783520*ln2*sinf*z2^3 - 44917272*z2^4 - 
    8064000*li5half*z3 + 67737600*li4half*ln2*z3 + 2889600*ln2^5*z3 + 
    9878400*li4half*sinf*z3 + 411600*ln2^4*sinf*z3 - 25015200*ln2^3*z2*z3 - 
    8820000*ln2^2*sinf*z2*z3 - 93280320*ln2*z2^2*z3 - 54134640*sinf*z2^2*z3 + 
    35897400*ln2^2*z3^2 - 90972000*ln2*sinf*z3^2 - 58804200*z2*z3^2 - 
    64239000*ln2^3*z5 - 294588000*ln2^2*sinf*z5 - 201889800*ln2*z2*z5 - 
    463327200*sinf*z2*z5 + 116767350*z3*z5 + 569795625*ln2*z7 + 
    1315703025*sinf*z7)/11289600, H[1, -1, -1, 1, 0, 1, 0, 1, 1] -> 
  (-338688000*li4half^2 - 1128960000*li8half - 75264000*li5half*ln2^3 - 
    56448000*li4half*ln2^4 - 1164800*ln2^8 - 86688000*ln2^2*s6 - 
    137995200*s8a - 555408000*s8b - 52416000*s8c + 38304000*s8d + 
    451584000*li7half*sinf - 112896000*li5half*ln2^2*sinf - 
    37632000*li4half*ln2^3*sinf - 716800*ln2^7*sinf - 249984000*ln2*s6*sinf + 
    24192000*s7a*sinf + 179424000*s7b*sinf + 56448000*li6half*z2 + 
    112896000*li4half*ln2^2*z2 + 6350400*ln2^6*z2 + 29232000*s6*z2 - 
    338688000*li5half*sinf*z2 - 225792000*li4half*ln2*sinf*z2 - 
    4704000*ln2^5*sinf*z2 + 143136000*li4half*z2^2 - 4384800*ln2^4*z2^2 + 
    25401600*ln2^3*sinf*z2^2 + 52768800*ln2^2*z2^3 + 81194400*ln2*sinf*z2^3 + 
    45571968*z2^4 + 713664000*li5half*z3 - 5947200*ln2^5*z3 + 
    169344000*li4half*sinf*z3 + 7056000*ln2^4*sinf*z3 + 5376000*ln2^3*z2*z3 - 
    123480000*ln2^2*sinf*z2*z3 + 244969200*ln2*z2^2*z3 - 
    99212400*sinf*z2^2*z3 + 42651000*ln2^2*z3^2 + 100800000*ln2*sinf*z3^2 - 
    130473000*z2*z3^2 + 165228000*ln2^3*z5 + 97461000*ln2^2*sinf*z5 - 
    117936000*ln2*z2*z5 - 484281000*sinf*z2*z5 + 10395000*z3*z5 + 
    962710875*sinf*z7)/56448000, H[1, -1, -1, 1, 0, 1, 0, 0, 1] -> 
  (1344000*ln2^2*s6 - 3203550*s8a - 11088000*s8b - 1680000*s8c - 
    1008000*s8d - 336000*ln2*s6*sinf + 1344000*s7a*sinf - 1344000*s7b*sinf - 
    4032000*li5half*ln2*z2 - 2688000*li4half*ln2^2*z2 - 78400*ln2^6*z2 + 
    1176000*s6*z2 - 1344000*li5half*sinf*z2 - 1344000*li4half*ln2*sinf*z2 - 
    44800*ln2^5*sinf*z2 + 1142400*li4half*z2^2 + 282800*ln2^4*z2^2 + 
    89600*ln2^3*sinf*z2^2 - 1395200*ln2^2*z2^3 - 648400*ln2*sinf*z2^3 + 
    295122*z2^4 + 3696000*li5half*z3 - 30800*ln2^5*z3 - 
    1680000*li4half*sinf*z3 - 70000*ln2^4*sinf*z3 - 252000*ln2^3*z2*z3 + 
    84000*ln2^2*sinf*z2*z3 + 4300800*ln2*z2^2*z3 + 2123100*sinf*z2^2*z3 - 
    787500*ln2^2*z3^2 - 367500*ln2*sinf*z3^2 + 4462500*z2*z3^2 + 
    287000*ln2^3*z5 + 3034500*ln2^2*sinf*z5 + 12736500*ln2*z2*z5 + 
    6741000*sinf*z2*z5 - 16219875*z3*z5 - 11615625*sinf*z7)/672000, 
 H[1, -1, -1, 1, 0, 1, 0, -1, 1] -> 
  (-90316800*li4half^2 + 180633600*li8half - 45158400*li7half*ln2 + 
    15052800*li5half*ln2^3 - 1881600*li4half*ln2^4 - 33600*ln2^8 + 
    8265600*ln2^2*s6 - 75801600*ln2*s7a - 39110400*ln2*s7b + 46876725*s8a + 
    298267200*s8b + 135072000*s8c - 106848000*s8d - 135475200*li7half*sinf + 
    22579200*li5half*ln2^2*sinf + 7526400*li4half*ln2^3*sinf + 
    152320*ln2^7*sinf - 46771200*ln2*s6*sinf + 46771200*s7a*sinf + 
    97574400*s7b*sinf + 5644800*li6half*z2 - 22579200*li5half*ln2*z2 + 
    22579200*li4half*ln2^2*z2 + 666400*ln2^6*z2 + 198172800*s6*z2 - 
    22579200*li5half*sinf*z2 - 22579200*li4half*ln2*sinf*z2 - 
    1317120*ln2^5*sinf*z2 + 52012800*li4half*z2^2 - 2336880*ln2^4*z2^2 + 
    423360*ln2^3*sinf*z2^2 - 39412800*ln2^2*z2^3 - 3024000*ln2*sinf*z2^3 + 
    74079504*z2^4 + 247564800*li5half*z3 - 118540800*li4half*ln2*z3 - 
    5685120*ln2^5*z3 + 5644800*li4half*sinf*z3 + 1881600*ln2^4*sinf*z3 + 
    41563200*ln2^3*z2*z3 - 9525600*ln2^2*sinf*z2*z3 + 87224760*ln2*z2^2*z3 - 
    22584240*sinf*z2^2*z3 - 164196900*ln2^2*z3^2 - 42436800*ln2*sinf*z3^2 - 
    56366100*z2*z3^2 - 39425400*ln2^3*z5 - 55036800*ln2^2*sinf*z5 - 
    285654600*ln2*z2*z5 - 280715400*sinf*z2*z5 - 547846425*z3*z5 - 
    492856875*ln2*z7 + 700260750*sinf*z7)/11289600, 
 H[1, -1, -1, 1, 0, 1, -1, 1, 1] -> 
  (-733824000*li8half + 987840000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    99400*ln2^8 + 539280000*ln2^2*s6 - 452500650*s8a - 1922256000*s8b - 
    274176000*s8c - 191520000*s8d + 5249664000*li7half*sinf + 
    2370816000*li6half*ln2*sinf + 225792000*li5half*ln2^2*sinf + 
    369600*ln2^7*sinf - 26208000*ln2*s6*sinf + 1155168000*s7a*sinf - 
    1526112000*s7b*sinf - 987840000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    3567200*ln2^6*z2 + 213696000*s6*z2 + 5409600*ln2^5*sinf*z2 - 
    38304000*li4half*z2^2 - 73508400*ln2^4*z2^2 - 11054400*ln2^3*sinf*z2^2 - 
    100044000*ln2^2*z2^3 + 54381600*ln2*sinf*z2^3 + 219094416*z2^4 + 
    439488000*li5half*z3 + 1276800*ln2^5*z3 + 6174000*ln2^4*sinf*z3 - 
    12768000*ln2^3*z2*z3 - 47628000*ln2^2*sinf*z2*z3 + 
    275083200*ln2*z2^2*z3 + 440697600*sinf*z2^2*z3 - 25830000*ln2^2*z3^2 + 
    1039122000*ln2*sinf*z3^2 + 356454000*z2*z3^2 - 6762000*ln2^3*z5 + 
    2587347000*ln2^2*sinf*z5 + 627606000*ln2*z2*z5 + 4361679000*sinf*z2*z5 - 
    355272750*z3*z5 - 12047482125*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 0, 1, -1, 0, 1] -> 
  (-225792000*li4half^2 - 4515840000*li8half - 677376000*li6half*ln2^2 - 
    301056000*li5half*ln2^3 - 47040000*li4half*ln2^4 - 112000*ln2^8 + 
    521136000*ln2^2*s6 - 1985330025*s8a - 10861704000*s8b - 1691424000*s8c - 
    481824000*s8d - 1354752000*li6half*ln2*sinf - 451584000*li5half*ln2^2*
     sinf - 37632000*li4half*ln2^3*sinf + 313600*ln2^7*sinf - 
    653184000*ln2*s6*sinf + 4032000*s7a*sinf + 88704000*s7b*sinf - 
    1213632000*li6half*z2 - 903168000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 + 2704800*ln2^6*z2 + 1224720000*s6*z2 - 
    451584000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 + 33465600*li4half*z2^2 + 49669200*ln2^4*z2^2 + 
    73147200*ln2^3*sinf*z2^2 - 82908000*ln2^2*z2^3 + 
    102916800*ln2*sinf*z2^3 + 157221936*z2^4 + 2318400000*li5half*z3 - 
    19320000*ln2^5*z3 + 56448000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 + 
    231420000*ln2^3*z2*z3 + 8820000*ln2^2*sinf*z2*z3 + 
    1927233000*ln2*z2^2*z3 - 20034000*sinf*z2^2*z3 + 299596500*ln2^2*z3^2 + 
    128520000*ln2*sinf*z3^2 + 2099191500*z2*z3^2 + 298116000*ln2^3*z5 + 
    365148000*ln2^2*sinf*z5 + 6538833000*ln2*z2*z5 + 374031000*sinf*z2*z5 - 
    2482869375*z3*z5 + 81963000*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 0, 1, -1, -1, 1] -> 
  (846720000*li7half*ln2 - 310464000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 616000*ln2^8 + 200592000*ln2^2*s6 + 
    114912000*ln2*s7a - 139104000*ln2*s7b - 1198269450*s8a - 5494608000*s8b - 
    616896000*s8c - 907200000*s8d - 1693440000*li7half*sinf - 
    1016064000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 649600*ln2^7*sinf - 370944000*ln2*s6*sinf + 
    60480000*s7a*sinf + 512064000*s7b*sinf + 508032000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 6507200*ln2^6*z2 + 
    2731680000*s6*z2 - 7056000*ln2^5*sinf*z2 - 167328000*li4half*z2^2 + 
    62000400*ln2^4*z2^2 + 29164800*ln2^3*sinf*z2^2 - 237535200*ln2^2*z2^3 - 
    28123200*ln2*sinf*z2^3 + 245297088*z2^4 + 1786176000*li5half*z3 - 
    14884800*ln2^5*z3 - 14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 
    185892000*ln2^3*z2*z3 + 45864000*ln2^2*sinf*z2*z3 + 
    1121626800*ln2*z2^2*z3 - 118818000*sinf*z2^2*z3 - 62433000*ln2^2*z3^2 - 
    233982000*ln2*sinf*z3^2 + 931014000*z2*z3^2 + 271068000*ln2^3*z5 - 
    399987000*ln2^2*sinf*z5 + 2229759000*ln2*z2*z5 - 1518300000*sinf*z2*z5 - 
    3903921000*z3*z5 - 2385676125*ln2*z7 + 4414677750*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 0, 0, 1, 1, 1] -> 
  (169344000*li4half^2 + 1241856000*li8half - 225792000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 + 50400*ln2^8 - 384048000*ln2^2*s6 + 
    478883475*s8a + 2581992000*s8b + 514080000*s8c - 62496000*s8d - 
    790272000*li7half*sinf - 451584000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    313600*ln2^7*sinf - 139104000*ln2*s6*sinf - 114912000*s7a*sinf + 
    223776000*s7b*sinf + 225792000*li6half*z2 + 282240000*li5half*ln2*z2 - 
    940800*ln2^6*z2 + 26208000*s6*z2 + 169344000*li5half*sinf*z2 + 
    56448000*li4half*ln2*sinf*z2 + 2352000*ln2^5*sinf*z2 - 
    147974400*li4half*z2^2 + 1360800*ln2^4*z2^2 - 940800*ln2^3*sinf*z2^2 + 
    82303200*ln2^2*z2^3 + 8517600*ln2*sinf*z2^3 + 60150816*z2^4 - 
    679392000*li5half*z3 + 2368800*ln2^5*z3 + 14112000*li4half*sinf*z3 - 
    3528000*ln2^4*sinf*z3 - 48384000*ln2^3*z2*z3 - 3528000*ln2^2*sinf*z2*z3 - 
    684595800*ln2*z2^2*z3 - 96793200*sinf*z2^2*z3 - 18711000*ln2^2*z3^2 - 
    36477000*ln2*sinf*z3^2 - 495810000*z2*z3^2 + 118188000*ln2^3*z5 - 
    150822000*ln2^2*sinf*z5 - 1951929000*ln2*z2*z5 - 900333000*sinf*z2*z5 + 
    571087125*z3*z5 + 2080283625*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 0, 0, 1, 0, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 - 
    25200000*ln2^2*s6 + 69345675*s8a + 540288000*s8b - 48384000*s8c + 
    217728000*s8d + 30240000*ln2*s6*sinf - 129024000*s7a*sinf + 
    40320000*s7b*sinf - 225792000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 509600*ln2^6*z2 - 555408000*s6*z2 - 
    56448000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    705600*ln2^5*sinf*z2 + 104227200*li4half*z2^2 + 7988400*ln2^4*z2^2 + 
    7996800*ln2^3*sinf*z2^2 + 15590400*ln2^2*z2^3 + 19084800*ln2*sinf*z2^3 - 
    60713112*z2^4 - 26208000*li5half*z3 + 218400*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 - 11004000*ln2^3*z2*z3 + 
    8820000*ln2^2*sinf*z2*z3 + 60492600*ln2*z2^2*z3 + 18307800*sinf*z2^2*z3 + 
    33925500*ln2^2*z3^2 - 107037000*ln2*sinf*z3^2 + 7182000*z2*z3^2 + 
    14994000*ln2^3*z5 - 141561000*ln2^2*sinf*z5 + 265545000*ln2*z2*z5 - 
    76104000*sinf*z2*z5 + 194158125*z3*z5 + 84262500*sinf*z7)/28224000, 
 H[1, -1, -1, 1, 0, 0, 1, -1, 1] -> 
  (56448000*li4half^2 - 1693440000*li8half - 338688000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    18816000*li4half*ln2^4 + 397600*ln2^8 + 882000000*ln2^2*s6 - 
    86688000*ln2*s7a + 195552000*ln2*s7b - 1330734825*s8a - 6549480000*s8b - 
    1280160000*s8c - 229824000*s8d + 451584000*li7half*sinf + 
    451584000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 380800*ln2^7*sinf + 221760000*ln2*s6*sinf + 
    88704000*s7a*sinf - 419328000*s7b*sinf - 225792000*li6half*z2 - 
    451584000*li5half*ln2*z2 - 112896000*li4half*ln2^2*z2 - 
    3449600*ln2^6*z2 + 1059408000*s6*z2 + 112896000*li4half*ln2*sinf*z2 + 
    1881600*ln2^5*sinf*z2 - 68544000*li4half*z2^2 - 6090000*ln2^4*z2^2 - 
    37161600*ln2^3*sinf*z2^2 - 282139200*ln2^2*z2^3 - 
    142732800*ln2*sinf*z2^3 - 65857392*z2^4 + 713664000*li5half*z3 + 
    28224000*li4half*ln2*z3 - 4771200*ln2^5*z3 - 84672000*li4half*sinf*z3 - 
    3528000*ln2^4*sinf*z3 + 121212000*ln2^3*z2*z3 + 
    158760000*ln2^2*sinf*z2*z3 + 973463400*ln2*z2^2*z3 + 
    158130000*sinf*z2^2*z3 + 53802000*ln2^2*z3^2 + 75159000*ln2*sinf*z3^2 + 
    1215459000*z2*z3^2 - 336924000*ln2^3*z5 + 396900000*ln2^2*sinf*z5 + 
    3888297000*ln2*z2*z5 + 1247652000*sinf*z2*z5 - 970664625*z3*z5 + 
    1014827625*ln2*z7 - 2634817500*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 0, 0, 0, 1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    31248000*ln2^2*s6 - 828450*s8a - 137088000*s8b - 6048000*s8c - 
    15120000*s8d + 6048000*ln2*s6*sinf + 50400000*s7a*sinf - 
    6048000*s7b*sinf + 112896000*li6half*z2 + 7056000*li4half*ln2^2*z2 + 
    450800*ln2^6*z2 + 90216000*s6*z2 - 56448000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 705600*ln2^5*sinf*z2 + 
    3326400*li4half*z2^2 - 2037000*ln2^4*z2^2 + 1411200*ln2^3*sinf*z2^2 - 
    16800000*ln2^2*z2^3 - 10718400*ln2*sinf*z2^3 - 15012912*z2^4 + 
    86688000*li5half*z3 - 722400*ln2^5*z3 + 45864000*li4half*sinf*z3 + 
    1911000*ln2^4*sinf*z3 + 3696000*ln2^3*z2*z3 - 16758000*ln2^2*sinf*z2*z3 + 
    15863400*ln2*z2^2*z3 - 18988200*sinf*z2^2*z3 - 12379500*ln2^2*z3^2 + 
    36540000*ln2*sinf*z3^2 + 12143250*z2*z3^2 - 27783000*ln2^3*z5 + 
    13009500*ln2^2*sinf*z5 + 93996000*ln2*z2*z5 + 136615500*sinf*z2*z5 - 
    127496250*z3*z5 - 80443125*sinf*z7)/14112000, 
 H[1, -1, -1, 1, 0, 0, 0, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 3024000*ln2^2*s6 - 
    5988150*s8a - 22176000*s8b - 4032000*s8c - 4032000*s8d + 
    2016000*ln2*s6*sinf - 4032000*s7b*sinf - 2016000*li4half*ln2^2*z2 - 
    84000*ln2^6*z2 + 13104000*s6*z2 - 3225600*li4half*z2^2 + 
    117600*ln2^4*z2^2 - 1137600*ln2^2*z2^3 - 1368000*ln2*sinf*z2^3 + 
    1066176*z2^4 - 3024000*li4half*sinf*z3 - 126000*ln2^4*sinf*z3 + 
    756000*ln2^2*sinf*z2*z3 + 567000*ln2*z2^2*z3 + 1146600*sinf*z2^2*z3 + 
    567000*ln2^2*z3^2 + 2709000*z2*z3^2 - 630000*ln2^3*z5 + 
    2961000*ln2^2*sinf*z5 + 4441500*ln2*z2*z5 + 9103500*sinf*z2*z5 - 
    1078875*z3*z5 - 11985750*sinf*z7)/2016000, 
 H[1, -1, -1, 1, 0, 0, 0, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    4435200*ln2^2*s6 + 2419200*ln2*s7a - 4636800*ln2*s7b - 1343475*s8a - 
    13910400*s8b - 2419200*s8c + 2419200*s8d + 3628800*ln2*s6*sinf + 
    7660800*s7a*sinf - 10684800*s7b*sinf + 11289600*li6half*z2 + 
    1411200*li4half*ln2^2*z2 + 74480*ln2^6*z2 - 2721600*s6*z2 - 
    5644800*li5half*sinf*z2 - 2822400*li4half*ln2*sinf*z2 - 
    70560*ln2^5*sinf*z2 + 2741760*li4half*z2^2 - 244440*ln2^4*z2^2 + 
    70560*ln2^3*sinf*z2^2 - 3202080*ln2^2*z2^3 - 4373040*ln2*sinf*z2^3 - 
    6199356*z2^4 - 6249600*li5half*z3 - 4939200*li4half*ln2*z3 - 
    153720*ln2^5*z3 + 5644800*li4half*sinf*z3 + 235200*ln2^4*sinf*z3 + 
    361200*ln2^3*z2*z3 - 1940400*ln2^2*sinf*z2*z3 - 180180*ln2*z2^2*z3 + 
    346500*sinf*z2^2*z3 + 3628800*ln2^2*z3^2 + 10105200*ln2*sinf*z3^2 + 
    259875*z2*z3^2 + 5100900*ln2^3*z5 + 15170400*ln2^2*sinf*z5 + 
    23700600*ln2*z2*z5 + 40250700*sinf*z2*z5 + 19440225*z3*z5 + 
    16367400*ln2*z7 - 53028675*sinf*z7)/2822400, 
 H[1, -1, -1, 1, 0, 0, -1, 1, 1] -> (-12096000*li4half^2 - 80640000*li8half + 
    8064000*li6half*ln2^2 + 5376000*li5half*ln2^3 - 14600*ln2^8 - 
    4032000*ln2^2*s6 + 8282925*s8a - 96768000*s8b + 20160000*s8c - 
    30240000*s8d + 64512000*li7half*sinf + 24192000*li6half*ln2*sinf + 
    8064000*li5half*ln2^2*sinf + 1344000*li4half*ln2^3*sinf + 
    9600*ln2^7*sinf - 432000*ln2*s6*sinf + 17568000*s7a*sinf + 
    1440000*s7b*sinf - 8064000*li6half*z2 + 8064000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 173600*ln2^6*z2 + 59472000*s6*z2 - 
    8064000*li5half*sinf*z2 - 12096000*li4half*ln2*sinf*z2 - 
    336000*ln2^5*sinf*z2 - 3225600*li4half*z2^2 + 436800*ln2^4*z2^2 + 
    3444000*ln2^3*sinf*z2^2 + 8978400*ln2^2*z2^3 + 10209600*ln2*sinf*z2^3 + 
    15491088*z2^4 + 62496000*li5half*z3 - 520800*ln2^5*z3 + 
    12096000*li4half*sinf*z3 + 504000*ln2^4*sinf*z3 + 294000*ln2^3*z2*z3 - 
    12852000*ln2^2*sinf*z2*z3 + 2746800*ln2*z2^2*z3 - 6310800*sinf*z2^2*z3 - 
    11261250*ln2^2*z3^2 + 12258000*ln2*sinf*z3^2 - 1968750*z2*z3^2 - 
    17556000*ln2^3*z5 - 10710000*ln2^2*sinf*z5 - 47029500*ln2*z2*z5 + 
    21663000*sinf*z2*z5 - 43391250*z3*z5 - 66377250*sinf*z7)/4032000, 
 H[1, -1, -1, 1, 0, 0, -1, 0, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 1512000*ln2^2*s6 - 
    103950*s8a + 30441600*s8b - 4032000*s8c + 9676800*s8d + 
    6854400*ln2*s6*sinf - 13910400*s7a*sinf - 2620800*s7b*sinf + 
    14112000*li6half*z2 + 16934400*li5half*ln2*z2 + 
    2822400*li4half*ln2^2*z2 - 3920*ln2^6*z2 + 1461600*s6*z2 + 
    5644800*li5half*sinf*z2 + 2822400*li4half*ln2*sinf*z2 + 
    70560*ln2^5*sinf*z2 + 383040*li4half*z2^2 + 445200*ln2^4*z2^2 + 
    258720*ln2^3*sinf*z2^2 + 2394840*ln2^2*z2^3 + 1533840*ln2*sinf*z2^3 - 
    2782914*z2^4 - 20764800*li5half*z3 + 173040*ln2^5*z3 - 
    9172800*li4half*sinf*z3 - 382200*ln2^4*sinf*z3 - 848400*ln2^3*z2*z3 + 
    2822400*ln2^2*sinf*z2*z3 - 3230640*ln2*z2^2*z3 + 4131540*sinf*z2^2*z3 + 
    5043150*ln2^2*z3^2 - 8435700*ln2*sinf*z3^2 - 13700925*z2*z3^2 + 
    323400*ln2^3*z5 - 10451700*ln2^2*sinf*z5 - 43690500*ln2*z2*z5 - 
    11088000*sinf*z2*z5 + 43594425*z3*z5 - 4622625*sinf*z7)/2822400, 
 H[1, -1, -1, 1, 0, 0, -1, -1, 1] -> 
  (51609600*li8half + 16128000*li7half*ln2 - 3225600*li6half*ln2^2 - 
    2150400*li5half*ln2^3 - 403200*li4half*ln2^4 - 5280*ln2^8 - 
    14688000*ln2^2*s6 + 2188800*ln2*s7a - 8697600*ln2*s7b + 29717100*s8a + 
    152409600*s8b + 18547200*s8c + 16934400*s8d - 9676800*li7half*sinf - 
    9676800*li6half*ln2*sinf - 3225600*li5half*ln2^2*sinf - 
    537600*li4half*ln2^3*sinf - 7040*ln2^7*sinf - 288000*ln2*s6*sinf - 
    8179200*s7a*sinf + 288000*s7b*sinf + 4838400*li6half*z2 + 
    3225600*li5half*ln2*z2 + 806400*li4half*ln2^2*z2 + 33600*ln2^6*z2 - 
    47376000*s6*z2 + 26880*ln2^5*sinf*z2 + 2741760*li4half*z2^2 + 
    231840*ln2^4*z2^2 + 201600*ln2^3*sinf*z2^2 + 3767040*ln2^2*z2^3 + 
    50400*ln2*sinf*z2^3 - 7814736*z2^4 - 35481600*li5half*z3 + 
    201600*ln2^5*z3 + 806400*li4half*sinf*z3 - 84000*ln2^4*sinf*z3 - 
    2721600*ln2^3*z2*z3 - 201600*ln2^2*sinf*z2*z3 - 21847680*ln2*z2^2*z3 - 
    793440*sinf*z2^2*z3 + 6975900*ln2^2*z3^2 + 612000*ln2*sinf*z3^2 - 
    26170200*z2*z3^2 + 14964600*ln2^3*z5 - 1575000*ln2^2*sinf*z5 - 
    36379800*ln2*z2*z5 - 1110600*sinf*z2*z5 + 61604550*z3*z5 - 
    38135025*ln2*z7 + 5200875*sinf*z7)/1612800, 
 H[1, -1, -1, 1, 0, -1, 1, 1, 1] -> 
  (-282240000*li8half - 677376000*li6half*ln2^2 - 159936000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 203000*ln2^8 - 525168000*ln2^2*s6 + 
    342857025*s8a + 1650600000*s8b + 316512000*s8c + 149184000*s8d - 
    2483712000*li7half*sinf - 1354752000*li6half*ln2*sinf - 
    197568000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    526400*ln2^7*sinf - 133056000*ln2*s6*sinf - 600768000*s7a*sinf + 
    796320000*s7b*sinf + 677376000*li6half*z2 + 282240000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 - 164304000*s6*z2 - 
    940800*ln2^5*sinf*z2 + 15724800*li4half*z2^2 + 31936800*ln2^4*z2^2 + 
    7996800*ln2^3*sinf*z2^2 + 187840800*ln2^2*z2^3 + 22226400*ln2*sinf*z2^3 - 
    37402416*z2^4 - 495936000*li5half*z3 + 4132800*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 - 41328000*ln2^3*z2*z3 + 
    1764000*ln2^2*sinf*z2*z3 - 343261800*ln2*z2^2*z3 - 
    230176800*sinf*z2^2*z3 + 93082500*ln2^2*z3^2 - 475776000*ln2*sinf*z3^2 - 
    456781500*z2*z3^2 + 184632000*ln2^3*z5 - 1158507000*ln2^2*sinf*z5 - 
    1308510000*ln2*z2*z5 - 2382849000*sinf*z2*z5 + 873613125*z3*z5 + 
    6199648875*sinf*z7)/56448000, H[1, -1, -1, 1, 0, -1, 1, 0, 1] -> 
  (225792000*li4half^2 + 4515840000*li8half + 677376000*li6half*ln2^2 + 
    301056000*li5half*ln2^3 + 47040000*li4half*ln2^4 + 112000*ln2^8 - 
    234864000*ln2^2*s6 + 1623259575*s8a + 9284184000*s8b + 1203552000*s8c + 
    631008000*s8d + 1354752000*li6half*ln2*sinf + 451584000*li5half*ln2^2*
     sinf + 37632000*li4half*ln2^3*sinf - 313600*ln2^7*sinf + 
    685440000*ln2*s6*sinf + 48384000*s7a*sinf - 205632000*s7b*sinf + 
    677376000*li6half*z2 + 564480000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 627200*ln2^6*z2 - 1812384000*s6*z2 + 
    366912000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 + 
    1646400*ln2^5*sinf*z2 - 3628800*li4half*z2^2 - 61950000*ln2^4*z2^2 - 
    75499200*ln2^3*sinf*z2^2 - 7056000*ln2^2*z2^3 - 147369600*ln2*sinf*z2^3 - 
    292014288*z2^4 - 2172240000*li5half*z3 + 18102000*ln2^5*z3 - 
    56448000*li4half*sinf*z3 - 2352000*ln2^4*sinf*z3 - 
    142800000*ln2^3*z2*z3 + 37044000*ln2^2*sinf*z2*z3 - 
    1483839000*ln2*z2^2*z3 + 60530400*sinf*z2^2*z3 - 269577000*ln2^2*z3^2 - 
    140175000*ln2*sinf*z3^2 - 1415988000*z2*z3^2 - 321636000*ln2^3*z5 - 
    236376000*ln2^2*sinf*z5 - 4169403000*ln2*z2*z5 + 210231000*sinf*z2*z5 + 
    1922846625*z3*z5 - 942070500*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 0, -1, 1, -1, 1] -> 
  (-677376000*li8half + 733824000*li7half*ln2 + 1354752000*li6half*ln2^2 + 
    235200000*li5half*ln2^3 - 240800*ln2^8 + 811440000*ln2^2*s6 + 
    191520000*ln2*s7a - 260064000*ln2*s7b - 504048825*s8a - 2904552000*s8b - 
    538272000*s8c - 139104000*s8d + 5927040000*li7half*sinf + 
    2709504000*li6half*ln2*sinf + 310464000*li5half*ln2^2*sinf + 
    245952000*ln2*s6*sinf + 1221696000*s7a*sinf - 1925280000*s7b*sinf - 
    1354752000*li6half*z2 - 395136000*li5half*ln2*z2 + 6899200*ln2^6*z2 - 
    116928000*s6*z2 + 8232000*ln2^5*sinf*z2 - 27820800*li4half*z2^2 - 
    70896000*ln2^4*z2^2 + 470400*ln2^3*sinf*z2^2 - 125798400*ln2^2*z2^3 + 
    38253600*ln2*sinf*z2^3 + 83078208*z2^4 + 398160000*li5half*z3 - 
    8257200*ln2^5*z3 - 6174000*ln2^4*sinf*z3 + 45528000*ln2^3*z2*z3 - 
    10584000*ln2^2*sinf*z2*z3 + 477955800*ln2*z2^2*z3 + 
    539935200*sinf*z2^2*z3 + 146412000*ln2^2*z3^2 + 
    1189755000*ln2*sinf*z3^2 + 682857000*z2*z3^2 + 134358000*ln2^3*z5 + 
    2675988000*ln2^2*sinf*z5 + 2929563000*ln2*z2*z5 + 5753853000*sinf*z2*z5 - 
    166327875*z3*z5 - 1946314125*ln2*z7 - 15098698125*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 0, -1, 0, 1, 1] -> (-16934400*li4half^2 - 56448000*li8half - 
    3763200*li5half*ln2^3 - 2822400*li4half*ln2^4 - 58240*ln2^8 + 
    10886400*ln2^2*s6 - 13149675*s8a - 79329600*s8b - 21772800*s8c + 
    11894400*s8d + 22579200*li7half*sinf - 5644800*li5half*ln2^2*sinf - 
    1881600*li4half*ln2^3*sinf - 35840*ln2^7*sinf - 3931200*ln2*s6*sinf + 
    3931200*s7a*sinf + 403200*s7b*sinf - 8467200*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 + 384160*ln2^6*z2 - 18849600*s6*z2 - 
    25401600*li5half*sinf*z2 - 11289600*li4half*ln2*sinf*z2 - 
    164640*ln2^5*sinf*z2 + 9152640*li4half*z2^2 - 703500*ln2^4*z2^2 + 
    670320*ln2^3*sinf*z2^2 - 1237320*ln2^2*z2^3 - 35280*ln2*sinf*z2^3 - 
    8237016*z2^4 + 37951200*li5half*z3 - 316260*ln2^5*z3 + 
    8467200*li4half*sinf*z3 + 352800*ln2^4*sinf*z3 + 2574600*ln2^3*z2*z3 - 
    2998800*ln2^2*sinf*z2*z3 + 25232760*ln2*z2^2*z3 - 3396960*sinf*z2^2*z3 + 
    3337425*ln2^2*z3^2 + 5465250*ln2*sinf*z3^2 + 15921675*z2*z3^2 + 
    1308300*ln2^3*z5 + 5380200*ln2^2*sinf*z5 + 88647300*ln2*z2*z5 + 
    27304200*sinf*z2*z5 - 10048500*z3*z5 - 22155525*sinf*z7)/2822400, 
 H[1, -1, -1, 1, 0, -1, 0, 0, 1] -> 
  (24864000*ln2^2*s6 - 57869700*s8a - 231840000*s8b - 26208000*s8c - 
    49056000*s8d + 1344000*ln2*s6*sinf + 22176000*s7a*sinf - 
    34272000*s7b*sinf - 56448000*li5half*ln2*z2 - 37632000*li4half*ln2^2*z2 - 
    1097600*ln2^6*z2 + 109872000*s6*z2 - 18816000*li5half*sinf*z2 - 
    18816000*li4half*ln2*sinf*z2 - 627200*ln2^5*sinf*z2 + 
    9004800*li4half*z2^2 + 3844400*ln2^4*z2^2 + 1489600*ln2^3*sinf*z2^2 - 
    28145600*ln2^2*z2^3 - 16189600*ln2*sinf*z2^3 + 12176028*z2^4 + 
    72240000*li5half*z3 - 602000*ln2^5*z3 - 23520000*li4half*sinf*z3 - 
    980000*ln2^4*sinf*z3 + 140000*ln2^3*z2*z3 + 2352000*ln2^2*sinf*z2*z3 + 
    45633000*ln2*z2^2*z3 + 21672000*sinf*z2^2*z3 - 4987500*ln2^2*z3^2 + 
    10374000*ln2*sinf*z3^2 + 51702000*z2*z3^2 + 2058000*ln2^3*z5 + 
    57771000*ln2^2*sinf*z5 + 132646500*ln2*z2*z5 + 121474500*sinf*z2*z5 - 
    197754375*z3*z5 - 170278500*sinf*z7)/9408000, 
 H[1, -1, -1, 1, 0, -1, 0, -1, 1] -> 
  (-451584000*li4half^2 + 903168000*li8half - 225792000*li7half*ln2 + 
    75264000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 168000*ln2^8 + 
    196560000*ln2^2*s6 - 179424000*ln2*s7a - 207648000*ln2*s7b + 
    91726425*s8a + 1080072000*s8b + 191520000*s8c - 50400000*s8d - 
    677376000*li7half*sinf + 112896000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 761600*ln2^7*sinf - 8064000*ln2*s6*sinf + 
    233856000*s7a*sinf + 50400000*s7b*sinf - 197568000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 3998400*ln2^6*z2 - 82656000*s6*z2 - 
    197568000*li5half*sinf*z2 - 112896000*li4half*ln2*sinf*z2 - 
    5880000*ln2^5*sinf*z2 + 356832000*li4half*z2^2 - 13062000*ln2^4*z2^2 - 
    3528000*ln2^3*sinf*z2^2 - 253663200*ln2^2*z2^3 - 
    163749600*ln2*sinf*z2^3 - 20755152*z2^4 + 418320000*li5half*z3 - 
    592704000*li4half*ln2*z3 - 21596400*ln2^5*z3 + 28224000*li4half*sinf*z3 + 
    9408000*ln2^4*sinf*z3 + 160692000*ln2^3*z2*z3 - 
    15876000*ln2^2*sinf*z2*z3 + 371561400*ln2*z2^2*z3 - 
    12020400*sinf*z2^2*z3 - 410193000*ln2^2*z3^2 - 25641000*ln2*sinf*z3^2 - 
    1197000*z2*z3^2 + 1176000*ln2^3*z5 + 138474000*ln2^2*sinf*z5 + 
    239589000*ln2*z2*z5 + 52605000*sinf*z2*z5 - 1201276125*z3*z5 - 
    961167375*ln2*z7 + 1115989875*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 0, -1, -1, 1, 1] -> 
  (564480000*li8half - 169344000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 887600*ln2^8 - 654192000*ln2^2*s6 + 
    1574321175*s8a + 7720776000*s8b + 997920000*s8c + 1020096000*s8d - 
    2709504000*li7half*sinf - 846720000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    1187200*ln2^7*sinf + 288288000*ln2*s6*sinf - 810432000*s7a*sinf + 
    1080576000*s7b*sinf + 169344000*li6half*z2 - 141120000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 4743200*ln2^6*z2 - 2893968000*s6*z2 - 
    169344000*li5half*sinf*z2 + 3057600*ln2^5*sinf*z2 + 
    189907200*li4half*z2^2 - 13020000*ln2^4*z2^2 - 44452800*ln2^3*sinf*z2^2 + 
    339141600*ln2^2*z2^3 - 10281600*ln2*sinf*z2^3 - 232009632*z2^4 - 
    1518048000*li5half*z3 + 12650400*ln2^5*z3 + 14112000*li4half*sinf*z3 + 
    588000*ln2^4*sinf*z3 - 126504000*ln2^3*z2*z3 + 1764000*ln2^2*sinf*z2*z3 - 
    1105007400*ln2*z2^2*z3 - 313840800*sinf*z2^2*z3 - 82120500*ln2^2*z3^2 - 
    817236000*ln2*sinf*z3^2 - 1202008500*z2*z3^2 - 139062000*ln2^3*z5 - 
    1958481000*ln2^2*sinf*z5 - 2539089000*ln2*z2*z5 - 2905182000*sinf*z2*z5 + 
    2841827625*z3*z5 + 7494338250*sinf*z7)/56448000, 
 H[1, -1, -1, 1, 0, -1, -1, 0, 1] -> 
  (1108800*ln2^2*s6 - 2715825*s8a - 10920000*s8b - 1478400*s8c - 
    1747200*s8d + 9600*ln2*s6*sinf + 729600*s7a*sinf - 1017600*s7b*sinf + 
    3628800*li6half*z2 + 1612800*li5half*ln2*z2 - 8400*ln2^6*z2 + 
    7257600*s6*z2 + 403200*li5half*sinf*z2 - 3360*ln2^5*sinf*z2 - 
    349440*li4half*z2^2 + 48440*ln2^4*z2^2 + 39200*ln2^3*sinf*z2^2 - 
    751440*ln2^2*z2^3 - 231840*ln2*sinf*z2^3 + 218784*z2^4 + 
    2083200*li5half*z3 - 17360*ln2^5*z3 + 187600*ln2^3*z2*z3 + 
    8400*ln2^2*sinf*z2*z3 + 1582560*ln2*z2^2*z3 + 284160*sinf*z2^2*z3 + 
    82950*ln2^2*z3^2 + 662100*ln2*sinf*z3^2 + 929250*z2*z3^2 - 
    74200*ln2^3*z5 + 1581300*ln2^2*sinf*z5 + 325500*ln2*z2*z5 + 
    1897200*sinf*z2*z5 - 5184900*z3*z5 - 3512100*sinf*z7)/268800, 
 H[1, -1, -1, 1, 0, -1, -1, -1, 1] -> 
  (-1128960*li4half^2 - 2257920*li8half - 42900480*li7half*ln2 - 
    20321280*li6half*ln2^2 - 3386880*li5half*ln2^3 - 94080*li4half*ln2^4 + 
    6496*ln2^8 - 2540160*ln2^2*s6 - 4193280*ln2*s7a + 4273920*ln2*s7b - 
    106155*s8a - 181440*s8b + 2177280*s8c - 1612800*s8d - 
    42900480*li7half*sinf - 20321280*li6half*ln2*sinf - 
    3386880*li5half*ln2^2*sinf + 8512*ln2^7*sinf - 3306240*ln2*s6*sinf + 
    483840*s7a*sinf + 3306240*s7b*sinf + 10160640*li6half*z2 + 
    3386880*li5half*ln2*z2 + 564480*li4half*ln2^2*z2 - 26656*ln2^6*z2 + 
    4354560*s6*z2 - 37632*ln2^5*sinf*z2 + 862848*li4half*z2^2 - 
    76944*ln2^4*z2^2 - 150528*ln2^3*sinf*z2^2 - 4279968*ln2^2*z2^3 - 
    4582368*ln2*sinf*z2^3 - 790560*z2^4 + 2378880*li5half*z3 - 
    2257920*li4half*ln2*z3 - 48048*ln2^5*z3 - 282240*li4half*sinf*z3 + 
    70560*ln2^4*sinf*z3 + 598080*ln2^3*z2*z3 + 70560*ln2^2*sinf*z2*z3 - 
    278712*ln2*z2^2*z3 - 689472*sinf*z2^2*z3 - 4851000*ln2^2*z3^2 - 
    1176840*ln2*sinf*z3^2 - 645120*z2*z3^2 - 1181880*ln2^3*z5 + 
    4515840*ln2^2*sinf*z5 - 26601120*ln2*z2*z5 - 9800280*sinf*z2*z5 - 
    6057765*z3*z5 + 81811485*ln2*z7 + 60539535*sinf*z7)/2257920, 
 H[1, -1, -1, 1, -1, 1, 1, 1, 1] -> 
  (56448000*li8half - 197568000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 + 70000*ln2^8 + 89712000*ln2^2*s6 - 308596050*s8a - 
    1373904000*s8b - 306432000*s8c + 94752000*s8d - 395136000*li7half*sinf - 
    395136000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf - 
    9408000*li4half*ln2^3*sinf + 89600*ln2^7*sinf - 26208000*ln2*s6*sinf - 
    100800000*s7a*sinf + 26208000*s7b*sinf + 197568000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 548800*ln2^6*z2 - 
    20160000*s6*z2 - 470400*ln2^5*sinf*z2 + 11894400*li4half*z2^2 + 
    13843200*ln2^4*z2^2 + 11289600*ln2^3*sinf*z2^2 + 16262400*ln2^2*z2^3 + 
    31869600*ln2*sinf*z2^3 - 95238408*z2^4 - 217728000*li5half*z3 - 
    67200*ln2^5*z3 + 7056000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 + 
    28896000*ln2^3*z2*z3 + 40572000*ln2^2*sinf*z2*z3 + 
    358747200*ln2*z2^2*z3 + 58968000*sinf*z2^2*z3 + 63378000*ln2^2*z3^2 - 
    85428000*ln2*sinf*z3^2 + 228942000*z2*z3^2 - 28224000*ln2^3*z5 - 
    165375000*ln2^2*sinf*z5 + 1116864000*ln2*z2*z5 + 74277000*sinf*z2*z5 - 
    217271250*z3*z5 - 40375125*sinf*z7)/56448000, 
 H[1, -1, -1, 1, -1, 1, 1, 0, 1] -> 
  (169344000*li4half^2 + 1524096000*li8half - 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 390600*ln2^8 - 
    177408000*ln2^2*s6 + 811955025*s8a + 4111128000*s8b + 481824000*s8c + 
    223776000*s8d - 564480000*li7half*sinf - 112896000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    112000*ln2^7*sinf + 221760000*ln2*s6*sinf - 94752000*s7a*sinf - 
    10080000*s7b*sinf + 56448000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 1372000*ln2^6*z2 - 863856000*s6*z2 + 
    84672000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    3057600*ln2^5*sinf*z2 - 66729600*li4half*z2^2 - 23242800*ln2^4*z2^2 - 
    22344000*ln2^3*sinf*z2^2 + 39866400*ln2^2*z2^3 - 88351200*ln2*sinf*z2^3 - 
    121114416*z2^4 - 715680000*li5half*z3 + 5728800*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 - 61992000*ln2^3*z2*z3 + 
    5292000*ln2^2*sinf*z2*z3 - 742933800*ln2*z2^2*z3 - 
    79304400*sinf*z2^2*z3 - 15498000*ln2^2*z3^2 - 13923000*ln2*sinf*z3^2 - 
    621558000*z2*z3^2 - 73500000*ln2^3*z5 - 192276000*ln2^2*sinf*z5 - 
    1831347000*ln2*z2*z5 - 138411000*sinf*z2*z5 + 1267504875*z3*z5 + 
    863029125*sinf*z7)/56448000, H[1, -1, -1, 1, -1, 1, 1, -1, 1] -> 
  (24192000*li6half*ln2^2 + 8064000*li5half*ln2^3 - 35000*ln2^8 + 
    24192000*ln2^2*s6 + 21772800*s8a + 48384000*li7half*sinf + 
    48384000*li6half*ln2*sinf + 12096000*li5half*ln2^2*sinf - 
    44800*ln2^7*sinf + 47520000*ln2*s6*sinf + 864000*s7a*sinf - 
    47520000*s7b*sinf - 24192000*li6half*z2 - 12096000*li5half*ln2*z2 + 
    240800*ln2^6*z2 - 24192000*s6*z2 + 201600*ln2^5*sinf*z2 - 
    2158800*ln2^4*z2^2 - 1612800*ln2^3*sinf*z2^2 - 7701600*ln2^2*z2^3 - 
    12213600*ln2*sinf*z2^3 - 13873272*z2^4 + 3024000*li5half*z3 + 
    8400*ln2^5*z3 + 42000*ln2^4*sinf*z3 - 5880000*ln2^3*z2*z3 - 
    6048000*ln2^2*sinf*z2*z3 - 33742800*ln2*z2^2*z3 + 8899200*sinf*z2^2*z3 + 
    12159000*ln2^2*z3^2 + 25398000*ln2*sinf*z3^2 - 12159000*z2*z3^2 - 
    15498000*ln2^3*z5 + 23625000*ln2^2*sinf*z5 + 23247000*ln2*z2*z5 + 
    141102000*sinf*z2*z5 + 103052250*z3*z5 + 132048000*ln2*z7 - 
    286561125*sinf*z7)/8064000, H[1, -1, -1, 1, -1, 1, 0, 1, 1] -> 
  (-747936000*li8half + 155232000*li6half*ln2^2 + 51744000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 59850*ln2^8 + 146664000*ln2^2*s6 - 
    277029900*s8a - 1603728000*s8b - 152208000*s8c - 197064000*s8d + 
    522144000*li7half*sinf + 310464000*li6half*ln2*sinf + 
    77616000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    72800*ln2^7*sinf + 22176000*ln2*s6*sinf + 118944000*s7a*sinf - 
    128016000*s7b*sinf - 239904000*li6half*z2 - 98784000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 166600*ln2^6*z2 + 413532000*s6*z2 + 
    21168000*li5half*sinf*z2 - 235200*ln2^5*sinf*z2 - 32356800*li4half*z2^2 - 
    1304100*ln2^4*z2^2 + 1940400*ln2^3*sinf*z2^2 - 26359200*ln2^2*z2^3 + 
    6955200*ln2*sinf*z2^3 + 109280856*z2^4 + 397656000*li5half*z3 - 
    3196200*ln2^5*z3 - 7056000*li4half*sinf*z3 - 147000*ln2^4*sinf*z3 + 
    19908000*ln2^3*z2*z3 - 17640000*ln2^2*sinf*z2*z3 + 
    221564700*ln2*z2^2*z3 + 44213400*sinf*z2^2*z3 - 10678500*ln2^2*z3^2 + 
    84514500*ln2*sinf*z3^2 + 211837500*z2*z3^2 - 29032500*ln2^3*z5 + 
    195693750*ln2^2*sinf*z5 + 489919500*ln2*z2*z5 + 290823750*sinf*z2*z5 - 
    350020125*z3*z5 - 994604625*sinf*z7)/14112000, 
 H[1, -1, -1, 1, -1, 1, 0, 0, 1] -> 
  (-1241856000*li8half + 56448000*li6half*ln2^2 + 47600*ln2^8 + 
    20160000*ln2^2*s6 - 425931975*s8a - 2733192000*s8b - 167328000*s8c - 
    213696000*s8d + 451584000*li7half*sinf + 112896000*li6half*ln2*sinf + 
    67200*ln2^7*sinf - 191520000*ln2*s6*sinf + 64512000*s7a*sinf + 
    92736000*s7b*sinf + 395136000*li6half*z2 + 254016000*li5half*ln2*z2 - 
    1881600*ln2^6*z2 + 893088000*s6*z2 + 84672000*li5half*sinf*z2 - 
    1176000*ln2^5*sinf*z2 - 42739200*li4half*z2^2 + 18681600*ln2^4*z2^2 + 
    14112000*ln2^3*sinf*z2^2 + 73332000*ln2^2*z2^3 + 
    126201600*ln2*sinf*z2^3 + 83956464*z2^4 + 321552000*li5half*z3 - 
    1268400*ln2^5*z3 + 1764000*ln2^4*sinf*z3 - 252000*ln2^3*z2*z3 - 
    14112000*ln2^2*sinf*z2*z3 + 390083400*ln2*z2^2*z3 + 
    64008000*sinf*z2^2*z3 - 39973500*ln2^2*z3^2 - 46368000*ln2*sinf*z3^2 + 
    273892500*z2*z3^2 + 35280000*ln2^3*z5 + 25578000*ln2^2*sinf*z5 + 
    487431000*ln2*z2*z5 - 260505000*sinf*z2*z5 - 636512625*z3*z5 - 
    354910500*sinf*z7)/56448000, H[1, -1, -1, 1, -1, 1, 0, -1, 1] -> 
  (-112896000*li8half + 12096000*li7half*ln2 + 20160000*li6half*ln2^2 + 
    6720000*li5half*ln2^3 + 2016000*li4half*ln2^4 + 50800*ln2^8 - 
    31968000*ln2^2*s6 - 4320000*ln2*s7a - 16416000*ln2*s7b + 27319950*s8a + 
    62496000*s8b + 64512000*s8c - 38304000*s8d + 88704000*li7half*sinf + 
    40320000*li6half*ln2*sinf + 10080000*li5half*ln2^2*sinf + 
    2688000*li4half*ln2^3*sinf + 66400*ln2^7*sinf - 31248000*ln2*s6*sinf + 
    23184000*s7a*sinf + 28224000*s7b*sinf - 32256000*li6half*z2 - 
    10080000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 350000*ln2^6*z2 + 
    55440000*s6*z2 + 6048000*li5half*sinf*z2 - 336000*ln2^5*sinf*z2 - 
    5644800*li4half*z2^2 + 1159200*ln2^4*z2^2 + 1310400*ln2^3*sinf*z2^2 + 
    16066800*ln2^2*z2^3 + 17265600*ln2*sinf*z2^3 + 46722432*z2^4 + 
    71568000*li5half*z3 - 159600*ln2^5*z3 - 2016000*li4half*sinf*z3 + 
    462000*ln2^4*sinf*z3 + 3024000*ln2^3*z2*z3 - 2268000*ln2^2*sinf*z2*z3 + 
    990000*ln2*z2^2*z3 - 4485600*sinf*z2^2*z3 - 32521500*ln2^2*z3^2 - 
    7119000*ln2*sinf*z3^2 - 30555000*z2*z3^2 + 9597000*ln2^3*z5 - 
    8064000*ln2^2*sinf*z5 - 141754500*ln2*z2*z5 - 94878000*sinf*z2*z5 - 
    94374000*z3*z5 - 202635000*ln2*z7 + 83624625*sinf*z7)/4032000, 
 H[1, -1, -1, 1, -1, 1, -1, 1, 1] -> 
  (338688000*li8half + 3500*ln2^8 - 33264000*ln2^2*s6 + 69254325*s8a + 
    869400000*s8b + 66528000*s8c + 60480000*s8d - 84672000*li7half*sinf + 
    11200*ln2^7*sinf - 3024000*ln2*s6*sinf + 3024000*s7a*sinf - 
    18144000*s7b*sinf - 215600*ln2^6*z2 - 184464000*s6*z2 - 
    352800*ln2^5*sinf*z2 + 12096000*li4half*z2^2 - 5287800*ln2^4*z2^2 - 
    5644800*ln2^3*sinf*z2^2 - 20017200*ln2^2*z2^3 - 30592800*ln2*sinf*z2^3 + 
    7171212*z2^4 - 120960000*li5half*z3 + 3595200*ln2^5*z3 + 
    3234000*ln2^4*sinf*z3 - 37716000*ln2^3*z2*z3 - 
    21168000*ln2^2*sinf*z2*z3 - 99880200*ln2*z2^2*z3 + 6804000*sinf*z2^2*z3 + 
    43123500*ln2^2*z3^2 + 24066000*ln2*sinf*z3^2 - 126850500*z2*z3^2 + 
    68796000*ln2^3*z5 + 123700500*ln2^2*sinf*z5 - 408618000*ln2*z2*z5 - 
    51880500*sinf*z2*z5 + 89987625*z3*z5 + 164170125*sinf*z7)/28224000, 
 H[1, -1, -1, 1, -1, 1, -1, 0, 1] -> 
  (-790272000*li8half + 42336000*li6half*ln2^2 + 39200*ln2^8 + 
    122472000*ln2^2*s6 - 359285850*s8a - 2228688000*s8b - 266112000*s8c - 
    129024000*s8d + 310464000*li7half*sinf + 84672000*li6half*ln2*sinf + 
    56000*ln2^7*sinf - 85680000*ln2*s6*sinf + 64512000*s7a*sinf - 
    20160000*s7b*sinf + 42336000*li6half*z2 - 431200*ln2^6*z2 + 
    445032000*s6*z2 - 588000*ln2^5*sinf*z2 - 25804800*li4half*z2^2 + 
    2982000*ln2^4*z2^2 + 4116000*ln2^3*sinf*z2^2 - 12978000*ln2^2*z2^3 + 
    39765600*ln2*sinf*z2^3 - 1956216*z2^4 + 258048000*li5half*z3 - 
    1209600*ln2^5*z3 + 1176000*ln2^4*sinf*z3 + 51492000*ln2^3*z2*z3 + 
    19404000*ln2^2*sinf*z2*z3 + 319611600*ln2*z2^2*z3 + 
    17262000*sinf*z2^2*z3 - 2047500*ln2^2*z3^2 + 1701000*ln2*sinf*z3^2 + 
    370030500*z2*z3^2 + 9408000*ln2^3*z5 + 96138000*ln2^2*sinf*z5 + 
    1093806000*ln2*z2*z5 + 165060000*sinf*z2*z5 - 364470750*z3*z5 - 
    572158125*sinf*z7)/28224000, H[1, -1, -1, 1, -1, 1, -1, -1, 1] -> 
  (-423360000*li8half + 42336000*li6half*ln2^2 + 28224000*li5half*ln2^3 + 
    10584000*li4half*ln2^4 + 259000*ln2^8 - 49896000*ln2^2*s6 - 
    111387150*s8a - 553392000*s8b + 78624000*s8c - 184464000*s8d + 
    169344000*li7half*sinf + 84672000*li6half*ln2*sinf + 
    42336000*li5half*ln2^2*sinf + 14112000*li4half*ln2^3*sinf + 
    324800*ln2^7*sinf - 142128000*ln2*s6*sinf + 120960000*s7a*sinf + 
    163296000*s7b*sinf - 42336000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 1489600*ln2^6*z2 + 432432000*s6*z2 - 
    1058400*ln2^5*sinf*z2 - 26308800*li4half*z2^2 + 7341600*ln2^4*z2^2 + 
    5644800*ln2^3*sinf*z2^2 + 24175200*ln2^2*z2^3 + 55994400*ln2*sinf*z2^3 + 
    168073236*z2^4 + 379512000*li5half*z3 - 3280200*ln2^5*z3 - 
    10584000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 53088000*ln2^3*z2*z3 + 
    23814000*ln2^2*sinf*z2*z3 + 141195600*ln2*z2^2*z3 - 
    30542400*sinf*z2^2*z3 - 166068000*ln2^2*z3^2 - 74151000*ln2*sinf*z3^2 + 
    88767000*z2*z3^2 - 55125000*ln2^3*z5 - 123700500*ln2^2*sinf*z5 - 
    153184500*ln2*z2*z5 - 481005000*sinf*z2*z5 - 811211625*z3*z5 - 
    513324000*ln2*z7 + 772891875*sinf*z7)/28224000, 
 H[1, -1, -1, 1, -1, 0, 1, 1, 1] -> 
  (127008000*li4half^2 + 197568000*li8half - 42336000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 - 39200*ln2^8 - 110880000*ln2^2*s6 + 
    61470675*s8a + 424872000*s8b + 137088000*s8c - 115920000*s8d - 
    112896000*li7half*sinf - 84672000*li6half*ln2*sinf - 
    42336000*li5half*ln2^2*sinf - 14112000*li4half*ln2^3*sinf - 
    330400*ln2^7*sinf - 82656000*ln2*s6*sinf - 2016000*s7a*sinf + 
    54432000*s7b*sinf + 42336000*li6half*z2 + 127008000*li5half*ln2*z2 + 
    39200*ln2^6*z2 + 263592000*s6*z2 + 84672000*li5half*sinf*z2 + 
    42336000*li4half*ln2*sinf*z2 + 2352000*ln2^5*sinf*z2 - 
    124790400*li4half*z2^2 - 2612400*ln2^4*z2^2 - 4116000*ln2^3*sinf*z2^2 + 
    19227600*ln2^2*z2^3 + 1310400*ln2*sinf*z2^3 + 84559068*z2^4 - 
    138600000*li5half*z3 - 1432200*ln2^5*z3 + 10584000*li4half*sinf*z3 - 
    2793000*ln2^4*sinf*z3 - 5082000*ln2^3*z2*z3 - 2646000*ln2^2*sinf*z2*z3 - 
    252730800*ln2*z2^2*z3 - 42991200*sinf*z2^2*z3 + 3764250*ln2^2*z3^2 + 
    43564500*ln2*sinf*z3^2 - 116156250*z2*z3^2 + 80262000*ln2^3*z5 + 
    65709000*ln2^2*sinf*z5 - 695709000*ln2*z2*z5 - 325710000*sinf*z2*z5 + 
    107407125*z3*z5 + 611588250*sinf*z7)/28224000, 
 H[1, -1, -1, 1, -1, 0, 1, 0, 1] -> 
  (-479808000*li4half^2 + 225792000*li8half - 338688000*li6half*ln2^2 - 
    150528000*li5half*ln2^3 - 68208000*li4half*ln2^4 - 1219400*ln2^8 - 
    236880000*ln2^2*s6 + 320781825*s8a + 2046744000*s8b - 62496000*s8c + 
    669312000*s8d - 677376000*li7half*sinf - 677376000*li6half*ln2*sinf - 
    225792000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf - 
    492800*ln2^7*sinf - 68544000*ln2*s6*sinf - 467712000*s7a*sinf + 
    209664000*s7b*sinf - 508032000*li6half*z2 - 705600000*li5half*ln2*z2 - 
    98784000*li4half*ln2^2*z2 + 2469600*ln2^6*z2 - 1797264000*s6*z2 - 
    310464000*li5half*sinf*z2 - 197568000*li4half*ln2*sinf*z2 - 
    3763200*ln2^5*sinf*z2 + 445737600*li4half*z2^2 + 35389200*ln2^4*z2^2 + 
    35515200*ln2^3*sinf*z2^2 + 48266400*ln2^2*z2^3 + 49459200*ln2*sinf*z2^3 - 
    254649288*z2^4 - 47376000*li5half*z3 - 2427600*ln2^5*z3 - 
    112896000*li4half*sinf*z3 - 8232000*ln2^4*sinf*z3 - 
    73332000*ln2^3*z2*z3 - 17640000*ln2^2*sinf*z2*z3 + 
    156630600*ln2*z2^2*z3 + 33566400*sinf*z2^2*z3 + 151231500*ln2^2*z3^2 - 
    299754000*ln2*sinf*z3^2 - 35374500*z2*z3^2 + 194628000*ln2^3*z5 - 
    364266000*ln2^2*sinf*z5 + 1013481000*ln2*z2*z5 - 264411000*sinf*z2*z5 + 
    486871875*z3*z5 + 1118958750*sinf*z7)/56448000, 
 H[1, -1, -1, 1, -1, 0, 1, -1, 1] -> 
  (84672000*li4half^2 + 6773760000*li8half - 564480000*li7half*ln2 - 
    1270080000*li6half*ln2^2 - 244608000*li5half*ln2^3 + 407400*ln2^8 - 
    968688000*ln2^2*s6 - 155232000*ln2*s7a + 338688000*ln2*s7b + 
    1916370225*s8a + 13651848000*s8b + 949536000*s8c + 1675296000*s8d - 
    5757696000*li7half*sinf - 2540160000*li6half*ln2*sinf - 
    366912000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf + 
    280000*ln2^7*sinf + 38304000*ln2*s6*sinf - 1336608000*s7a*sinf + 
    1415232000*s7b*sinf + 1270080000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 5919200*ln2^6*z2 - 4013856000*s6*z2 + 
    169344000*li4half*ln2*sinf*z2 + 4233600*ln2^5*sinf*z2 + 
    272966400*li4half*z2^2 + 15313200*ln2^4*z2^2 - 65150400*ln2^3*sinf*z2^2 + 
    24192000*ln2^2*z2^3 - 211680000*ln2*sinf*z2^3 - 798775704*z2^4 - 
    3272976000*li5half*z3 + 42336000*li4half*ln2*z3 + 30920400*ln2^5*z3 - 
    98784000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 - 
    171612000*ln2^3*z2*z3 + 257544000*ln2^2*sinf*z2*z3 - 
    1705926600*ln2*z2^2*z3 - 350078400*sinf*z2^2*z3 - 59881500*ln2^2*z3^2 - 
    1135386000*ln2*sinf*z3^2 - 1532191500*z2*z3^2 - 210651000*ln2^3*z5 - 
    2264094000*ln2^2*sinf*z5 - 3772503000*ln2*z2*z5 - 4243239000*sinf*z2*z5 + 
    2351829375*z3*z5 + 1585064250*ln2*z7 + 12081352500*sinf*z7)/56448000, 
 H[1, -1, -1, 1, -1, 0, 0, 1, 1] -> (-10160640*li4half^2 + 63221760*li8half - 
    6773760*li6half*ln2^2 - 1505280*li5half*ln2^3 - 846720*li4half*ln2^4 - 
    12936*ln2^8 - 7459200*ln2^2*s6 + 20469960*s8a + 93824640*s8b + 
    16611840*s8c + 4273920*s8d - 31610880*li7half*sinf - 
    13547520*li6half*ln2*sinf - 2257920*li5half*ln2^2*sinf + 
    6272*ln2^7*sinf - 4273920*ln2*s6*sinf + 5967360*s7a*sinf + 
    11047680*s7b*sinf + 27095040*li6half*z2 + 4515840*li5half*ln2*z2 + 
    1693440*li4half*ln2^2*z2 + 42336*ln2^6*z2 - 3467520*s6*z2 - 
    9031680*li5half*sinf*z2 - 6773760*li4half*ln2*sinf*z2 - 
    244608*ln2^5*sinf*z2 + 2378880*li4half*z2^2 - 56112*ln2^4*z2^2 + 
    715008*ln2^3*sinf*z2^2 - 1366176*ln2^2*z2^3 - 1242528*ln2*sinf*z2^3 - 
    5036280*z2^4 - 645120*li5half*z3 + 61824*ln2^5*z3 + 
    11007360*li4half*sinf*z3 + 529200*ln2^4*sinf*z3 - 947520*ln2^3*z2*z3 - 
    3880800*ln2^2*sinf*z2*z3 - 14044464*ln2*z2^2*z3 - 8277696*sinf*z2^2*z3 - 
    4629240*ln2^2*z3^2 + 2872800*ln2*sinf*z3^2 - 14805000*z2*z3^2 - 
    3633840*ln2^3*z5 - 10372320*ln2^2*sinf*z5 - 39463200*ln2*z2*z5 - 
    10261440*sinf*z2*z5 - 18894960*z3*z5 + 75985875*sinf*z7)/2257920, 
 H[1, -1, -1, 1, -1, 0, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    33600000*ln2^2*s6 - 42025200*s8a - 113568000*s8b - 43680000*s8c - 
    8064000*s8d + 24864000*ln2*s6*sinf - 1344000*s7a*sinf - 
    34272000*s7b*sinf - 56448000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 431200*ln2^6*z2 + 13776000*s6*z2 - 
    9408000*li5half*sinf*z2 + 78400*ln2^5*sinf*z2 - 18547200*li4half*z2^2 + 
    520800*ln2^4*z2^2 - 235200*ln2^3*sinf*z2^2 - 11575200*ln2^2*z2^3 - 
    14263200*ln2*sinf*z2^3 + 6136188*z2^4 - 336000*li5half*z3 + 
    2800*ln2^5*z3 - 21168000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 
    2912000*ln2^3*z2*z3 + 7056000*ln2^2*sinf*z2*z3 + 8866200*ln2*z2^2*z3 + 
    7854000*sinf*z2^2*z3 + 6951000*ln2^2*z3^2 - 63000*ln2*sinf*z3^2 + 
    36729000*z2*z3^2 - 6272000*ln2^3*z5 + 22491000*ln2^2*sinf*z5 + 
    105388500*ln2*z2*z5 + 90016500*sinf*z2*z5 + 1147125*z3*z5 - 
    114271500*sinf*z7)/9408000, H[1, -1, -1, 1, -1, 0, 0, -1, 1] -> 
  (-33868800*li4half^2 - 338688000*li8half - 22579200*li7half*ln2 + 
    33868800*li6half*ln2^2 + 7526400*li5half*ln2^3 - 2822400*li4half*ln2^4 - 
    78400*ln2^8 + 176198400*ln2^2*s6 - 6451200*ln2*s7a + 7660800*ln2*s7b - 
    288075375*s8a - 1607054400*s8b - 235065600*s8c - 117734400*s8d + 
    135475200*li7half*sinf + 67737600*li6half*ln2*sinf + 
    11289600*li5half*ln2^2*sinf - 26880*ln2^7*sinf + 29433600*ln2*s6*sinf + 
    74995200*s7a*sinf - 116928000*s7b*sinf + 16934400*li6half*z2 - 
    11289600*li5half*ln2*z2 + 8467200*li4half*ln2^2*z2 + 533120*ln2^6*z2 + 
    400579200*s6*z2 - 28224000*li5half*sinf*z2 - 16934400*li4half*ln2*sinf*
     z2 - 376320*ln2^5*sinf*z2 - 9999360*li4half*z2^2 - 957600*ln2^4*z2^2 + 
    2116800*ln2^3*sinf*z2^2 - 62388480*ln2^2*z2^3 - 27484800*ln2*sinf*z2^3 - 
    16116432*z2^4 + 248169600*li5half*z3 - 29635200*li4half*ln2*z3 - 
    3585120*ln2^5*z3 + 33868800*li4half*sinf*z3 + 1058400*ln2^4*sinf*z3 + 
    26913600*ln2^3*z2*z3 - 11289600*ln2^2*sinf*z2*z3 + 
    212504040*ln2*z2^2*z3 + 15553440*sinf*z2^2*z3 + 25168500*ln2^2*z3^2 + 
    94096800*ln2*sinf*z3^2 + 235525500*z2*z3^2 - 31957800*ln2^3*z5 + 
    158495400*ln2^2*sinf*z5 + 709682400*ln2*z2*z5 + 393044400*sinf*z2*z5 - 
    248212125*z3*z5 + 297456075*ln2*z7 - 705096000*sinf*z7)/11289600, 
 H[1, -1, -1, 1, -1, 0, -1, 1, 1] -> 
  (-254016000*li4half^2 - 7225344000*li8half + 1270080000*li6half*ln2^2 + 
    357504000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 222600*ln2^8 + 
    1244880000*ln2^2*s6 - 2242685025*s8a - 16214184000*s8b - 1191456000*s8c - 
    1997856000*s8d + 5588352000*li7half*sinf + 2709504000*li6half*ln2*sinf + 
    536256000*li5half*ln2^2*sinf + 65856000*li4half*ln2^3*sinf + 
    929600*ln2^7*sinf + 34272000*ln2*s6*sinf + 1433376000*s7a*sinf - 
    1233792000*s7b*sinf - 1270080000*li6half*z2 - 366912000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1293600*ln2^6*z2 + 4941216000*s6*z2 - 
    84672000*li5half*sinf*z2 - 254016000*li4half*ln2*sinf*z2 - 
    11289600*ln2^5*sinf*z2 - 312076800*li4half*z2^2 - 5535600*ln2^4*z2^2 + 
    80673600*ln2^3*sinf*z2^2 - 98985600*ln2^2*z2^3 + 
    225086400*ln2*sinf*z2^3 + 883152216*z2^4 + 4129776000*li5half*z3 - 
    32533200*ln2^5*z3 + 225792000*li4half*sinf*z3 + 11760000*ln2^4*sinf*z3 + 
    223020000*ln2^3*z2*z3 - 289296000*ln2^2*sinf*z2*z3 + 
    1967200200*ln2*z2^2*z3 + 235468800*sinf*z2^2*z3 - 255370500*ln2^2*z3^2 + 
    1086120000*ln2*sinf*z3^2 + 1983523500*z2*z3^2 - 534198000*ln2^3*z5 + 
    1782522000*ln2^2*sinf*z5 + 4256595000*ln2*z2*z5 + 4076730000*sinf*z2*z5 - 
    3755878875*z3*z5 - 11295679500*sinf*z7)/56448000, 
 H[1, -1, -1, 1, -1, 0, -1, 0, 1] -> 
  (-11289600*li4half^2 + 45158400*li8half - 67737600*li6half*ln2^2 - 
    30105600*li5half*ln2^3 - 6585600*li4half*ln2^4 - 96880*ln2^8 - 
    806400*ln2^2*s6 + 3986325*s8a + 287985600*s8b - 63302400*s8c + 
    108460800*s8d - 135475200*li7half*sinf - 135475200*li6half*ln2*sinf - 
    45158400*li5half*ln2^2*sinf - 7526400*li4half*ln2^3*sinf - 
    98560*ln2^7*sinf + 35884800*ln2*s6*sinf - 100800000*s7a*sinf - 
    18950400*s7b*sinf - 84672000*li6half*z2 - 39513600*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 + 729120*ln2^6*z2 - 232444800*s6*z2 - 
    28224000*li5half*sinf*z2 - 5644800*li4half*ln2*sinf*z2 + 
    376320*ln2^5*sinf*z2 + 38344320*li4half*z2^2 + 1750560*ln2^4*z2^2 + 
    1646400*ln2^3*sinf*z2^2 + 6706560*ln2^2*z2^3 - 8047200*ln2*sinf*z2^3 - 
    33684456*z2^4 - 85680000*li5half*z3 - 38640*ln2^5*z3 - 
    43747200*li4half*sinf*z3 - 2763600*ln2^4*sinf*z3 - 6434400*ln2^3*z2*z3 + 
    10231200*ln2^2*sinf*z2*z3 + 15062040*ln2*z2^2*z3 + 
    24393600*sinf*z2^2*z3 + 50973300*ln2^2*z3^2 - 41857200*ln2*sinf*z3^2 - 
    19599300*z2*z3^2 + 26695200*ln2^3*z5 - 39249000*ln2^2*sinf*z5 + 
    57519000*ln2*z2*z5 + 22327200*sinf*z2*z5 + 215430075*z3*z5 + 
    38563875*sinf*z7)/11289600, H[1, -1, -1, 1, -1, 0, -1, -1, 1] -> 
  (28224000*li8half + 112896000*li7half*ln2 + 14112000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 70700*ln2^8 + 
    41328000*ln2^2*s6 + 5040000*ln2*s7a - 58464000*ln2*s7b - 43866900*s8a - 
    332136000*s8b - 64512000*s8c - 13104000*s8d + 84672000*li7half*sinf - 
    14112000*li5half*ln2^2*sinf - 4704000*li4half*ln2^3*sinf - 
    95200*ln2^7*sinf + 12096000*ln2*s6*sinf - 12096000*s7a*sinf - 
    82656000*s7b*sinf + 14112000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 
    431200*ln2^6*z2 + 65016000*s6*z2 + 352800*ln2^5*sinf*z2 - 
    8265600*li4half*z2^2 + 978600*ln2^4*z2^2 + 1881600*ln2^3*sinf*z2^2 - 
    18715200*ln2^2*z2^3 - 10164000*ln2*sinf*z2^3 - 32059344*z2^4 + 
    19152000*li5half*z3 - 1022000*ln2^5*z3 + 7056000*li4half*sinf*z3 - 
    784000*ln2^4*sinf*z3 + 3752000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 + 
    50013600*ln2*z2^2*z3 + 17236800*sinf*z2^2*z3 + 62632500*ln2^2*z3^2 + 
    56028000*ln2*sinf*z3^2 + 25158000*z2*z3^2 + 88273500*ln2^3*z5 + 
    108486000*ln2^2*sinf*z5 + 327127500*ln2*z2*z5 + 245007000*sinf*z2*z5 + 
    99217125*z3*z5 - 254866500*ln2*z7 - 525648375*sinf*z7)/9408000, 
 H[1, -1, -1, 1, -1, -1, 1, 1, 1] -> 
  (241920000*li8half - 12096000*li6half*ln2^2 - 12200*ln2^8 - 
    45360000*ln2^2*s6 + 74688075*s8a + 600264000*s8b + 66528000*s8c + 
    48384000*s8d - 96768000*li7half*sinf - 24192000*li6half*ln2*sinf - 
    16000*ln2^7*sinf - 1728000*ln2*s6*sinf - 22464000*s7a*sinf + 
    31968000*s7b*sinf + 12096000*li6half*z2 + 106400*ln2^6*z2 - 
    142128000*s6*z2 + 100800*ln2^5*sinf*z2 + 9676800*li4half*z2^2 - 
    1503600*ln2^4*z2^2 - 1612800*ln2^3*sinf*z2^2 + 1274400*ln2^2*z2^3 - 
    4543200*ln2*sinf*z2^3 - 5185728*z2^4 - 96768000*li5half*z3 + 
    840000*ln2^5*z3 + 42000*ln2^4*sinf*z3 - 8148000*ln2^3*z2*z3 - 
    72261000*ln2*z2^2*z3 - 9115200*sinf*z2^2*z3 - 5512500*ln2^2*z3^2 - 
    20394000*ln2*sinf*z3^2 - 75190500*z2*z3^2 + 18270000*ln2^3*z5 - 
    34398000*ln2^2*sinf*z5 - 254205000*ln2*z2*z5 - 113751000*sinf*z2*z5 + 
    48880125*z3*z5 + 278251875*sinf*z7)/8064000, 
 H[1, -1, -1, 1, -1, -1, 1, 0, 1] -> 
  (-241920000*li8half + 12096000*li6half*ln2^2 - 2688000*li5half*ln2^3 - 
    2016000*li4half*ln2^4 - 50800*ln2^8 + 31248000*ln2^2*s6 - 74688075*s8a - 
    600264000*s8b - 66528000*s8c - 48384000*s8d + 96768000*li7half*sinf + 
    24192000*li6half*ln2*sinf - 4032000*li5half*ln2^2*sinf - 
    2688000*li4half*ln2^3*sinf - 64000*ln2^7*sinf - 4032000*ln2*s6*sinf - 
    26208000*s7b*sinf + 60480000*li6half*z2 + 40320000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 67200*ln2^6*z2 + 186480000*s6*z2 + 
    12096000*li5half*sinf*z2 + 100800*ln2^5*sinf*z2 - 11692800*li4half*z2^2 + 
    2016000*ln2^4*z2^2 + 2184000*ln2^3*sinf*z2^2 - 662400*ln2^2*z2^3 + 
    10389600*ln2*sinf*z2^3 - 4417272*z2^4 + 56448000*li5half*z3 - 
    907200*ln2^5*z3 + 2016000*li4half*sinf*z3 - 462000*ln2^4*sinf*z3 + 
    6216000*ln2^3*z2*z3 - 252000*ln2^2*sinf*z2*z3 + 54646200*ln2*z2^2*z3 + 
    5670000*sinf*z2^2*z3 + 19530000*ln2^2*z3^2 + 20349000*ln2*sinf*z3^2 + 
    49770000*z2*z3^2 + 1386000*ln2^3*z5 + 27468000*ln2^2*sinf*z5 + 
    200340000*ln2*z2*z5 + 72702000*sinf*z2*z5 + 27239625*z3*z5 - 
    245377125*sinf*z7)/8064000, H[1, -1, -1, 1, -1, -1, 1, -1, 1] -> 
  (-1524096000*li8half - 56448000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 
    439600*ln2^8 + 244944000*ln2^2*s6 - 470850975*s8a - 3113208000*s8b - 
    489888000*s8c - 145152000*s8d + 508032000*li7half*sinf - 
    84672000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    560000*ln2^7*sinf + 36288000*ln2*s6*sinf - 36288000*s7a*sinf - 
    247968000*s7b*sinf + 84672000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 2665600*ln2^6*z2 + 607824000*s6*z2 + 
    2116800*ln2^5*sinf*z2 - 50198400*li4half*z2^2 + 5964000*ln2^4*z2^2 + 
    11289600*ln2^3*sinf*z2^2 + 21168000*ln2^2*z2^3 + 27568800*ln2*sinf*z2^3 - 
    599976*z2^4 + 269136000*li5half*z3 - 7417200*ln2^5*z3 + 
    21168000*li4half*sinf*z3 - 5586000*ln2^4*sinf*z3 + 35364000*ln2^3*z2*z3 - 
    5292000*ln2^2*sinf*z2*z3 + 336256200*ln2*z2^2*z3 + 
    51710400*sinf*z2^2*z3 + 175612500*ln2^2*z3^2 + 168084000*ln2*sinf*z3^2 + 
    365872500*z2*z3^2 - 18522000*ln2^3*z5 + 240786000*ln2^2*sinf*z5 + 
    1560951000*ln2*z2*z5 + 735021000*sinf*z2*z5 + 262591875*z3*z5 - 
    359856000*ln2*z7 - 1830961125*sinf*z7)/56448000, 
 H[1, -1, -1, 1, -1, -1, 0, 1, 1] -> 
  (-254016000*li4half^2 + 2935296000*li8half - 592704000*li6half*ln2^2 - 
    188160000*li5half*ln2^3 - 42336000*li4half*ln2^4 - 505400*ln2^8 - 
    568512000*ln2^2*s6 + 1153257525*s8a + 5991048000*s8b + 671328000*s8c + 
    626976000*s8d - 2032128000*li7half*sinf - 1185408000*li6half*ln2*sinf - 
    282240000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    67200*ln2^7*sinf - 151200000*ln2*s6*sinf - 314496000*s7a*sinf + 
    574560000*s7b*sinf + 1100736000*li6half*z2 + 366912000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 1528800*ln2^6*z2 - 1458576000*s6*z2 - 
    254016000*li5half*sinf*z2 - 169344000*li4half*ln2*sinf*z2 - 
    5644800*ln2^5*sinf*z2 + 227001600*li4half*z2^2 + 12810000*ln2^4*z2^2 + 
    20462400*ln2^3*sinf*z2^2 + 59724000*ln2^2*z2^3 - 16884000*ln2*sinf*z2^3 - 
    468416016*z2^4 - 922320000*li5half*z3 + 8862000*ln2^5*z3 + 
    127008000*li4half*sinf*z3 + 6762000*ln2^4*sinf*z3 - 
    77448000*ln2^3*z2*z3 - 28224000*ln2^2*sinf*z2*z3 - 
    700497000*ln2*z2^2*z3 - 209638800*sinf*z2^2*z3 - 32445000*ln2^2*z3^2 - 
    269199000*ln2*sinf*z3^2 - 895545000*z2*z3^2 + 52332000*ln2^3*z5 - 
    782775000*ln2^2*sinf*z5 - 1715427000*ln2*z2*z5 - 1253826000*sinf*z2*z5 + 
    904057875*z3*z5 + 4456974375*sinf*z7)/56448000, 
 H[1, -1, -1, 1, -1, -1, 0, 0, 1] -> 
  (22579200*li4half^2 + 225792000*li8half + 7526400*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 99680*ln2^8 - 10483200*ln2^2*s6 + 37875600*s8a + 
    493113600*s8b + 49190400*s8c + 24192000*s8d - 67737600*li7half*sinf + 
    11289600*li5half*ln2^2*sinf + 3763200*li4half*ln2^3*sinf + 
    76160*ln2^7*sinf + 22579200*ln2*s6*sinf + 5644800*s7a*sinf - 
    2822400*s7b*sinf - 101606400*li6half*z2 - 79027200*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 893760*ln2^6*z2 - 141523200*s6*z2 - 
    22579200*li5half*sinf*z2 - 5644800*li4half*ln2*sinf*z2 - 
    329280*ln2^5*sinf*z2 + 8789760*li4half*z2^2 + 36960*ln2^4*z2^2 - 
    1881600*ln2^3*sinf*z2^2 - 15684480*ln2^2*z2^3 - 22488480*ln2*sinf*z2^3 + 
    20668824*z2^4 - 39916800*li5half*z3 + 708960*ln2^5*z3 - 
    26812800*li4half*sinf*z3 - 646800*ln2^4*sinf*z3 - 3679200*ln2^3*z2*z3 + 
    7056000*ln2^2*sinf*z2*z3 - 40340160*ln2*z2^2*z3 + 11536560*sinf*z2^2*z3 - 
    19750500*ln2^2*z3^2 - 18610200*ln2*sinf*z3^2 - 21325500*z2*z3^2 - 
    8878800*ln2^3*z5 - 5115600*ln2^2*sinf*z5 - 141926400*ln2*z2*z5 + 
    5997600*sinf*z2*z5 - 100604700*z3*z5 + 99721125*sinf*z7)/11289600, 
 H[1, -1, -1, 1, -1, -1, 0, -1, 1] -> 
  (-338688000*li4half^2 + 1185408000*li8half - 169344000*li7half*ln2 - 
    84672000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    74200*ln2^8 + 365904000*ln2^2*s6 - 193536000*ln2*s7a - 24192000*ln2*s7b - 
    359681175*s8a - 1199016000*s8b - 175392000*s8c - 247968000*s8d - 
    846720000*li7half*sinf - 169344000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf + 28224000*li4half*ln2^3*sinf + 
    638400*ln2^7*sinf - 36288000*ln2*s6*sinf + 205632000*s7a*sinf + 
    78624000*s7b*sinf + 338688000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 728784000*s6*z2 - 
    169344000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*z2 - 
    4704000*ln2^5*sinf*z2 + 225590400*li4half*z2^2 - 10122000*ln2^4*z2^2 - 
    4233600*ln2^3*sinf*z2^2 - 335512800*ln2^2*z2^3 - 
    158810400*ln2*sinf*z2^3 - 116837208*z2^4 + 721728000*li5half*z3 - 
    444528000*li4half*ln2*z3 - 19126800*ln2^5*z3 + 21168000*li4half*sinf*z3 + 
    7644000*ln2^4*sinf*z3 + 158928000*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 + 572657400*ln2*z2^2*z3 - 
    17841600*sinf*z2^2*z3 - 365652000*ln2^2*z3^2 - 39753000*ln2*sinf*z3^2 + 
    327127500*z2*z3^2 - 170814000*ln2^3*z5 + 112896000*ln2^2*sinf*z5 + 
    729099000*ln2*z2*z5 - 57645000*sinf*z2*z5 - 1787806125*z3*z5 + 
    476658000*ln2*z7 + 1408262625*sinf*z7)/56448000, 
 H[1, -1, -1, 1, -1, -1, -1, 1, 1] -> 
  (-395136000*li8half + 33868800*li6half*ln2^2 + 7526400*li5half*ln2^3 + 
    1411200*li4half*ln2^4 + 35280*ln2^8 + 27216000*ln2^2*s6 - 30332925*s8a - 
    574056000*s8b - 26208000*s8c - 44352000*s8d + 180633600*li7half*sinf + 
    67737600*li6half*ln2*sinf + 11289600*li5half*ln2^2*sinf + 
    1881600*li4half*ln2^3*sinf + 44800*ln2^7*sinf + 4838400*ln2*s6*sinf + 
    23385600*s7a*sinf - 4838400*s7b*sinf - 33868800*li6half*z2 - 
    11289600*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 
    109872000*s6*z2 - 188160*ln2^5*sinf*z2 - 7459200*li4half*z2^2 + 
    2476320*ln2^4*z2^2 + 2257920*ln2^3*sinf*z2^2 + 24696000*ln2^2*z2^3 + 
    24958080*ln2*sinf*z2^3 + 14508792*z2^4 + 91526400*li5half*z3 - 
    809760*ln2^5*z3 - 1411200*li4half*sinf*z3 - 117600*ln2^4*sinf*z3 + 
    7744800*ln2^3*z2*z3 + 352800*ln2^2*sinf*z2*z3 + 51113160*ln2*z2^2*z3 + 
    2943360*sinf*z2^2*z3 - 13689900*ln2^2*z3^2 + 126000*ln2*sinf*z3^2 + 
    51804900*z2*z3^2 - 49274400*ln2^3*z5 - 33868800*ln2^2*sinf*z5 + 
    196282800*ln2*z2*z5 + 71542800*sinf*z2*z5 + 41392575*z3*z5 - 
    284369400*sinf*z7)/11289600, H[1, -1, -1, 1, -1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 + 931392000*li8half - 84672000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 5880000*li4half*ln2^4 - 133700*ln2^8 - 
    80136000*ln2^2*s6 + 242034975*s8a + 2306304000*s8b + 167328000*s8c + 
    241920000*s8d - 423360000*li7half*sinf - 169344000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf - 4704000*li4half*ln2^3*sinf - 
    112000*ln2^7*sinf + 79632000*ln2*s6*sinf - 72576000*s7a*sinf + 
    26208000*s7b*sinf - 197568000*li6half*z2 - 141120000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 + 1195600*ln2^6*z2 - 691992000*s6*z2 - 
    56448000*li5half*sinf*z2 - 14112000*li4half*ln2*sinf*z2 + 
    588000*ln2^5*sinf*z2 + 64612800*li4half*z2^2 - 6363000*ln2^4*z2^2 - 
    5292000*ln2^3*sinf*z2^2 - 554400*ln2^2*z2^3 - 47829600*ln2*sinf*z2^3 - 
    3646584*z2^4 - 307440000*li5half*z3 + 1621200*ln2^5*z3 + 
    7056000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 - 35028000*ln2^3*z2*z3 - 
    8820000*ln2^2*sinf*z2*z3 - 214036200*ln2*z2^2*z3 - 
    13003200*sinf*z2^2*z3 + 1606500*ln2^2*z3^2 - 40446000*ln2*sinf*z3^2 - 
    241699500*z2*z3^2 - 294000*ln2^3*z5 - 96138000*ln2^2*sinf*z5 - 
    819063000*ln2*z2*z5 - 164745000*sinf*z2*z5 + 156704625*z3*z5 + 
    746148375*sinf*z7)/28224000, H[1, -1, -1, 1, -1, -1, -1, -1, 1] -> 
  (1919232000*li8half - 141120000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    1400*ln2^8 - 53424000*ln2^2*s6 + 175670775*s8a + 1545768000*s8b + 
    106848000*s8c + 104832000*s8d - 846720000*li7half*sinf - 
    282240000*li6half*ln2*sinf - 28224000*li5half*ln2^2*sinf + 
    141120000*li6half*z2 + 28224000*li5half*ln2*z2 + 39200*ln2^6*z2 - 
    315504000*s6*z2 + 20966400*li4half*z2^2 - 11298000*ln2^4*z2^2 - 
    11289600*ln2^3*sinf*z2^2 - 147016800*ln2^2*z2^3 - 
    129024000*ln2*sinf*z2^3 - 178797456*z2^4 - 216720000*li5half*z3 + 
    3687600*ln2^5*z3 + 2352000*ln2^4*sinf*z3 - 22764000*ln2^3*z2*z3 - 
    140779800*ln2*z2^2*z3 - 913500*ln2^2*z3^2 - 121369500*z2*z3^2 + 
    155232000*ln2^3*z5 + 169344000*ln2^2*sinf*z5 - 489888000*ln2*z2*z5 - 
    195575625*z3*z5 + 959616000*ln2*z7 + 846720000*sinf*z7)/56448000, 
 H[1, -1, -1, 0, 1, 1, 1, 1, 1] -> (-12096000*li4half^2 - 32256000*li8half + 
    8064000*li6half*ln2^2 + 2688000*li5half*ln2^3 - 1008000*li4half*ln2^4 - 
    33000*ln2^8 + 7056000*ln2^2*s6 - 9098775*s8a - 21672000*s8b - 
    10080000*s8c + 6048000*s8d + 24192000*li7half*sinf + 
    16128000*li6half*ln2*sinf + 4032000*li5half*ln2^2*sinf - 
    16000*ln2^7*sinf + 4032000*s7a*sinf - 8064000*li6half*z2 - 
    12096000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 252000*ln2^6*z2 - 
    12096000*s6*z2 - 8064000*li5half*sinf*z2 - 4032000*li4half*ln2*sinf*z2 + 
    201600*li4half*z2^2 - 579600*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 - 
    5212800*ln2^2*z2^3 + 1412496*z2^4 + 15120000*li5half*z3 - 
    361200*ln2^5*z3 + 8064000*li4half*sinf*z3 + 42000*ln2^4*sinf*z3 + 
    1848000*ln2^3*z2*z3 - 2016000*ln2^2*sinf*z2*z3 + 9916200*ln2*z2^2*z3 - 
    3376800*sinf*z2^2*z3 + 882000*ln2^2*z3^2 + 3969000*ln2*sinf*z3^2 + 
    8001000*z2*z3^2 + 84000*ln2^3*z5 + 4032000*ln2^2*sinf*z5 + 
    34020000*ln2*z2*z5 + 4032000*sinf*z2*z5 - 8481375*z3*z5 - 
    10993500*sinf*z7)/8064000, H[1, -1, -1, 0, 1, 1, 1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 9072000*ln2^2*s6 - 
    32698575*s8a - 162792000*s8b - 18144000*s8c - 22176000*s8d - 
    10656000*ln2*s6*sinf + 10656000*s7a*sinf - 9504000*s7b*sinf + 
    16128000*li6half*z2 + 12096000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 - 162400*ln2^6*z2 + 68544000*s6*z2 + 
    4032000*li5half*sinf*z2 - 33600*ln2^5*sinf*z2 - 1814400*li4half*z2^2 + 
    848400*ln2^4*z2^2 + 336000*ln2^3*sinf*z2^2 - 4372800*ln2^2*z2^3 - 
    3410400*ln2*sinf*z2^3 + 2352048*z2^4 + 31248000*li5half*z3 - 
    260400*ln2^5*z3 - 7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 + 
    2352000*ln2^3*z2*z3 + 4032000*ln2^2*sinf*z2*z3 + 25943400*ln2*z2^2*z3 + 
    6865200*sinf*z2^2*z3 - 1575000*ln2^2*z3^2 + 5067000*ln2*sinf*z3^2 + 
    25767000*z2*z3^2 + 4956000*ln2^3*z5 + 26964000*ln2^2*sinf*z5 + 
    45486000*ln2*z2*z5 + 28044000*sinf*z2*z5 - 80584875*z3*z5 - 
    53551125*sinf*z7)/8064000, H[1, -1, -1, 0, 1, 1, 1, -1, 1] -> 
  (2765952000*li8half - 225792000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 259000*ln2^8 - 
    305424000*ln2^2*s6 - 72576000*ln2*s7a + 26208000*ln2*s7b + 
    1063756575*s8a + 6724872000*s8b + 784224000*s8c + 598752000*s8d - 
    395136000*li7half*sinf + 112896000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf - 
    392000*ln2^7*sinf + 62496000*ln2*s6*sinf - 34272000*s7a*sinf + 
    135072000*s7b*sinf - 56448000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 5919200*ln2^6*z2 - 1903104000*s6*z2 + 
    28224000*li4half*ln2*sinf*z2 + 8937600*ln2^5*sinf*z2 + 
    132451200*li4half*z2^2 - 68686800*ln2^4*z2^2 - 32457600*ln2^3*sinf*z2^2 + 
    37346400*ln2^2*z2^3 - 52365600*ln2*sinf*z2^3 - 139056048*z2^4 - 
    1190448000*li5half*z3 - 112896000*li4half*ln2*z3 + 6862800*ln2^5*z3 - 
    14112000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 - 56868000*ln2^3*z2*z3 + 
    28224000*ln2^2*sinf*z2*z3 - 802405800*ln2*z2^2*z3 - 
    26132400*sinf*z2^2*z3 - 247968000*ln2^2*z3^2 - 136773000*ln2*sinf*z3^2 - 
    794997000*z2*z3^2 - 78057000*ln2^3*z5 - 137592000*ln2^2*sinf*z5 - 
    2459205000*ln2*z2*z5 - 402066000*sinf*z2*z5 + 813432375*z3*z5 + 
    158295375*ln2*z7 + 1060093125*sinf*z7)/56448000, 
 H[1, -1, -1, 0, 1, 1, 0, 1, 1] -> (-34272000*ln2^2*s6 + 65981475*s8a + 
    250488000*s8b + 62496000*s8c + 4032000*s8d + 9504000*ln2*s6*sinf - 
    15552000*s7a*sinf + 20736000*s7b*sinf - 16128000*li6half*z2 - 
    22400*ln2^6*z2 - 36288000*s6*z2 + 8064000*li5half*sinf*z2 - 
    67200*ln2^5*sinf*z2 + 806400*li4half*z2^2 + 369600*ln2^4*z2^2 + 
    672000*ln2^3*sinf*z2^2 + 13111200*ln2^2*z2^3 + 10036800*ln2*sinf*z2^3 + 
    9770616*z2^4 - 24192000*li5half*z3 + 201600*ln2^5*z3 - 
    9744000*ln2^3*z2*z3 - 11592000*ln2^2*sinf*z2*z3 - 54066600*ln2*z2^2*z3 - 
    7700400*sinf*z2^2*z3 - 4032000*ln2^2*z3^2 - 9927000*ln2*sinf*z3^2 - 
    64638000*z2*z3^2 - 3528000*ln2^3*z5 - 40446000*ln2^2*sinf*z5 - 
    188055000*ln2*z2*z5 - 74205000*sinf*z2*z5 + 101705625*z3*z5 + 
    110855250*sinf*z7)/8064000, H[1, -1, -1, 0, 1, 1, 0, 0, 1] -> 
  (5040000*ln2^2*s6 - 9847950*s8a - 28560000*s8b - 10080000*s8c + 
    672000*s8d - 2352000*ln2*s6*sinf + 2352000*s7a*sinf - 2352000*s7b*sinf - 
    168000*s6*z2 + 134400*li4half*z2^2 + 5600*ln2^4*z2^2 - 
    3995600*ln2^2*z2^3 - 1792000*ln2*sinf*z2^3 - 1110052*z2^4 + 
    3360000*li5half*z3 - 28000*ln2^5*z3 + 1848000*ln2^3*z2*z3 + 
    2352000*ln2^2*sinf*z2*z3 + 8652000*ln2*z2^2*z3 + 1029000*sinf*z2^2*z3 + 
    535500*ln2^2*z3^2 + 1176000*ln2*sinf*z3^2 + 11565750*z2*z3^2 + 
    2254000*ln2^3*z5 + 7938000*ln2^2*sinf*z5 + 31269000*ln2*z2*z5 + 
    8526000*sinf*z2*z5 - 21210000*z3*z5 - 13138125*sinf*z7)/4704000, 
 H[1, -1, -1, 0, 1, 1, 0, -1, 1] -> (142632000*ln2^2*s6 - 45360000*ln2*s7a + 
    60480000*ln2*s7b - 244473075*s8a - 1325016000*s8b - 173376000*s8c - 
    165312000*s8d + 12096000*ln2*s6*sinf + 9072000*s7a*sinf - 
    12096000*s7b*sinf - 28224000*li6half*z2 - 39200*ln2^6*z2 + 
    492912000*s6*z2 + 14112000*li5half*sinf*z2 - 117600*ln2^5*sinf*z2 - 
    33062400*li4half*z2^2 - 789600*ln2^4*z2^2 + 1176000*ln2^3*sinf*z2^2 - 
    60706800*ln2^2*z2^3 - 352800*ln2*sinf*z2^3 + 15349788*z2^4 + 
    312984000*li5half*z3 - 2608200*ln2^5*z3 + 20202000*ln2^3*z2*z3 - 
    8820000*ln2^2*sinf*z2*z3 + 185875200*ln2*z2^2*z3 + 2154600*sinf*z2^2*z3 - 
    33531750*ln2^2*z3^2 + 8914500*ln2*sinf*z3^2 + 194197500*z2*z3^2 - 
    108412500*ln2^3*z5 + 11686500*ln2^2*sinf*z5 + 347980500*ln2*z2*z5 + 
    25168500*sinf*z2*z5 - 490478625*z3*z5 + 333277875*ln2*z7 - 
    54715500*sinf*z7)/28224000, H[1, -1, -1, 0, 1, 1, -1, 1, 1] -> 
  (-4045440000*li8half - 94080000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 219800*ln2^8 + 539616000*ln2^2*s6 - 
    1686020700*s8a - 10330992000*s8b - 1154496000*s8c - 1009344000*s8d + 
    225792000*li7half*sinf - 225792000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    268800*ln2^7*sinf - 143136000*ln2*s6*sinf + 58464000*s7a*sinf - 
    82656000*s7b*sinf + 94080000*li6half*z2 + 65856000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 4272800*ln2^6*z2 + 3138240000*s6*z2 + 
    37632000*li5half*sinf*z2 - 6428800*ln2^5*sinf*z2 - 
    194812800*li4half*z2^2 + 59581200*ln2^4*z2^2 + 40532800*ln2^3*sinf*z2^2 - 
    99439200*ln2^2*z2^3 + 48871200*ln2*sinf*z2^3 + 276961128*z2^4 + 
    1889328000*li5half*z3 - 15744400*ln2^5*z3 - 7056000*li4half*sinf*z3 - 
    294000*ln2^4*sinf*z3 + 139216000*ln2^3*z2*z3 - 
    22932000*ln2^2*sinf*z2*z3 + 1312382400*ln2*z2^2*z3 + 
    22705200*sinf*z2^2*z3 + 183666000*ln2^2*z3^2 + 120267000*ln2*sinf*z3^2 + 
    1253070000*z2*z3^2 + 8918000*ln2^3*z5 + 150087000*ln2^2*sinf*z5 + 
    3399984000*ln2*z2*z5 + 197085000*sinf*z2*z5 - 1705105500*z3*z5 - 
    581655375*sinf*z7)/18816000, H[1, -1, -1, 0, 1, 1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4515840000*li8half + 37632000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 - 103600*ln2^8 - 799848000*ln2^2*s6 + 
    2106627075*s8a + 12435192000*s8b + 1507968000*s8c + 1145088000*s8d - 
    1354752000*li7half*sinf + 56448000*li5half*ln2^2*sinf - 
    201600*ln2^7*sinf + 255024000*ln2*s6*sinf - 346752000*s7a*sinf + 
    457632000*s7b*sinf + 28224000*li6half*z2 + 70560000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 627200*ln2^6*z2 - 3584952000*s6*z2 + 
    42336000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 - 
    117600*ln2^5*sinf*z2 + 189504000*li4half*z2^2 - 39320400*ln2^4*z2^2 - 
    59623200*ln2^3*sinf*z2^2 + 191478000*ln2^2*z2^3 - 
    70039200*ln2*sinf*z2^3 - 288862788*z2^4 - 2413656000*li5half*z3 + 
    20113800*ln2^5*z3 - 7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 
    185850000*ln2^3*z2*z3 + 24696000*ln2^2*sinf*z2*z3 - 
    1702675800*ln2*z2^2*z3 - 125483400*sinf*z2^2*z3 - 202025250*ln2^2*z3^2 - 
    413374500*ln2*sinf*z3^2 - 1629085500*z2*z3^2 - 8232000*ln2^3*z5 - 
    791595000*ln2^2*sinf*z5 - 4588290000*ln2*z2*z5 - 1395009000*sinf*z2*z5 + 
    2378352375*z3*z5 + 3456132750*sinf*z7)/28224000, 
 H[1, -1, -1, 0, 1, 1, -1, -1, 1] -> 
  (9031680000*li8half + 169344000*li6half*ln2^2 + 94080000*li5half*ln2^3 - 
    324800*ln2^8 - 1486800000*ln2^2*s6 + 4213254150*s8a + 24870384000*s8b + 
    3015936000*s8c + 2290176000*s8d - 677376000*li7half*sinf + 
    451584000*li6half*ln2*sinf + 141120000*li5half*ln2^2*sinf - 
    414400*ln2^7*sinf + 336672000*ln2*s6*sinf - 266112000*s7a*sinf + 
    368928000*s7b*sinf - 225792000*li6half*z2 - 141120000*li5half*ln2*z2 + 
    8310400*ln2^6*z2 - 7268688000*s6*z2 + 13641600*ln2^5*sinf*z2 + 
    458035200*li4half*z2^2 - 124504800*ln2^4*z2^2 - 
    73382400*ln2^3*sinf*z2^2 + 344080800*ln2^2*z2^3 - 
    43293600*ln2*sinf*z2^3 - 558425736*z2^4 - 4545072000*li5half*z3 + 
    37875600*ln2^5*z3 - 371700000*ln2^3*z2*z3 + 5292000*ln2^2*sinf*z2*z3 - 
    3340083600*ln2*z2^2*z3 - 105008400*sinf*z2^2*z3 - 436684500*ln2^2*z3^2 - 
    371448000*ln2*sinf*z3^2 - 3237885000*z2*z3^2 - 72324000*ln2^3*z5 - 
    723681000*ln2^2*sinf*z5 - 8939322000*ln2*z2*z5 - 1103571000*sinf*z2*z5 + 
    4569500250*z3*z5 + 2411521875*sinf*z7)/56448000, 
 H[1, -1, -1, 0, 1, 0, 1, 1, 1] -> (338688000*li4half^2 + 903168000*li8half - 
    225792000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 + 924000*ln2^8 - 38304000*ln2^2*s6 - 
    31551975*s8a - 219240000*s8b + 6048000*s8c - 189504000*s8d - 
    677376000*li7half*sinf - 451584000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf + 448000*ln2^7*sinf - 20160000*ln2*s6*sinf - 
    50400000*s7a*sinf - 106848000*s7b*sinf + 225792000*li6half*z2 + 
    338688000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 7056000*ln2^6*z2 + 
    506016000*s6*z2 + 225792000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*
     z2 - 9676800*li4half*z2^2 + 16060800*ln2^4*z2^2 - 
    9408000*ln2^3*sinf*z2^2 - 43596000*ln2^2*z2^3 - 60127200*ln2*sinf*z2^3 - 
    39441096*z2^4 - 552384000*li5half*z3 + 11188800*ln2^5*z3 - 
    225792000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 - 6048000*ln2^3*z2*z3 + 
    141120000*ln2^2*sinf*z2*z3 - 44263800*ln2*z2^2*z3 + 
    146790000*sinf*z2^2*z3 - 21357000*ln2^2*z3^2 - 104013000*ln2*sinf*z3^2 + 
    83664000*z2*z3^2 + 24108000*ln2^3*z5 + 90846000*ln2^2*sinf*z5 - 
    122661000*ln2*z2*z5 + 247275000*sinf*z2*z5 - 344980125*z3*z5 - 
    291430125*sinf*z7)/56448000, H[1, -1, -1, 0, 1, 0, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    8064000*ln2^2*s6 + 123714675*s8a + 764568000*s8b - 16128000*s8c + 
    241920000*s8d + 56448000*ln2*s6*sinf - 56448000*s7a*sinf + 
    56448000*s7b*sinf - 225792000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 2273600*ln2^6*z2 - 632016000*s6*z2 - 
    56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 11692800*li4half*z2^2 - 
    12448800*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 + 49442400*ln2^2*z2^3 + 
    22932000*ln2*sinf*z2^3 - 63035172*z2^4 - 131040000*li5half*z3 + 
    1092000*ln2^5*z3 + 98784000*li4half*sinf*z3 + 4116000*ln2^4*sinf*z3 + 
    11424000*ln2^3*z2*z3 - 28224000*ln2^2*sinf*z2*z3 - 90909000*ln2*z2^2*z3 - 
    73823400*sinf*z2^2*z3 + 44604000*ln2^2*z3^2 + 14112000*ln2*sinf*z3^2 - 
    93964500*z2*z3^2 - 54096000*ln2^3*z5 - 190512000*ln2^2*sinf*z5 + 
    173187000*ln2*z2*z5 - 154791000*sinf*z2*z5 + 664295625*z3*z5 + 
    374960250*sinf*z7)/28224000, H[1, -1, -1, 0, 1, 0, 1, -1, 1] -> 
  (32256000*li8half + 129024000*li7half*ln2 + 32256000*li6half*ln2^2 + 
    10752000*li5half*ln2^3 + 4032000*li4half*ln2^4 + 98400*ln2^8 - 
    68544000*ln2^2*s6 + 50400000*ln2*s7a - 26208000*ln2*s7b + 80984925*s8a + 
    329112000*s8b + 46368000*s8c + 46368000*s8d + 225792000*li7half*sinf + 
    64512000*li6half*ln2*sinf + 16128000*li5half*ln2^2*sinf + 
    5376000*li4half*ln2^3*sinf + 134400*ln2^7*sinf - 4896000*ln2*s6*sinf + 
    14976000*s7a*sinf - 53568000*s7b*sinf - 32256000*li6half*z2 - 
    52416000*li5half*ln2*z2 - 24192000*li4half*ln2^2*z2 - 884800*ln2^6*z2 - 
    144144000*s6*z2 - 16128000*li4half*ln2*sinf*z2 - 1075200*ln2^5*sinf*z2 + 
    2016000*li4half*z2^2 + 8013600*ln2^4*z2^2 + 12398400*ln2^3*sinf*z2^2 + 
    28792800*ln2^2*z2^3 + 20908800*ln2*sinf*z2^3 - 14765832*z2^4 - 
    64512000*li5half*z3 + 64512000*li4half*ln2*z3 + 2284800*ln2^5*z3 + 
    8064000*li4half*sinf*z3 - 840000*ln2^4*sinf*z3 - 25284000*ln2^3*z2*z3 - 
    13104000*ln2^2*sinf*z2*z3 - 79342200*ln2*z2^2*z3 + 9302400*sinf*z2^2*z3 + 
    71757000*ln2^2*z3^2 + 49275000*ln2*sinf*z3^2 - 69048000*z2*z3^2 + 
    52542000*ln2^3*z5 + 33894000*ln2^2*sinf*z5 - 5292000*ln2*z2*z5 + 
    159498000*sinf*z2*z5 + 221437125*z3*z5 - 168643125*ln2*z7 - 
    490673250*sinf*z7)/8064000, H[1, -1, -1, 0, 1, 0, 0, 1, 1] -> 
  (-7257600*ln2^2*s6 + 6947325*s8a + 138499200*s8b + 403200*s8c + 
    30643200*s8d - 2419200*ln2*s6*sinf - 11692800*s7a*sinf + 
    10886400*s7b*sinf + 45158400*li6half*z2 + 62720*ln2^6*z2 - 
    48585600*s6*z2 - 22579200*li5half*sinf*z2 + 188160*ln2^5*sinf*z2 + 
    6128640*li4half*z2^2 - 685440*ln2^4*z2^2 - 1881600*ln2^3*sinf*z2^2 - 
    3370080*ln2^2*z2^3 - 4210080*ln2*sinf*z2^3 - 9556668*z2^4 - 
    33062400*li5half*z3 + 275520*ln2^5*z3 + 67200*ln2^3*z2*z3 + 
    4233600*ln2^2*sinf*z2*z3 - 6302520*ln2*z2^2*z3 - 1965600*sinf*z2^2*z3 + 
    1927800*ln2^2*z3^2 - 10647000*ln2*sinf*z3^2 - 20985300*z2*z3^2 + 
    12112800*ln2^3*z5 - 3704400*ln2^2*sinf*z5 - 33049800*ln2*z2*z5 - 
    28186200*sinf*z2*z5 + 44334675*z3*z5 + 75218850*sinf*z7)/5644800, 
 H[1, -1, -1, 0, 1, 0, 0, 0, 1] -> (806400*ln2^2*s6 - 3773175*s8a - 
    28560000*s8b - 1612800*s8c - 5913600*s8d - 2419200*ln2*s6*sinf + 
    2419200*s7a*sinf - 1344000*s7b*sinf + 13238400*s6*z2 - 
    1182720*li4half*z2^2 - 49280*ln2^4*z2^2 - 1638560*ln2^2*z2^3 - 
    1036000*ln2*sinf*z2^3 + 1382004*z2^4 + 8064000*li5half*z3 - 
    67200*ln2^5*z3 + 672000*ln2^3*z2*z3 + 3565800*ln2*z2^2*z3 + 
    592200*sinf*z2^2*z3 - 126000*ln2^2*z3^2 + 2318400*ln2*sinf*z3^2 + 
    4281900*z2*z3^2 + 1176000*ln2^3*z5 + 5409600*ln2^2*sinf*z5 + 
    8983800*ln2*z2*z5 + 6035400*sinf*z2*z5 - 16561125*z3*z5 - 
    9177525*sinf*z7)/940800, H[1, -1, -1, 0, 1, 0, 0, -1, 1] -> 
  (504000*ln2^2*s6 + 43344000*ln2*s7a - 6048000*ln2*s7b - 54690300*s8a + 
    16128000*s8b - 52416000*s8c + 24192000*s8d - 37296000*ln2*s6*sinf + 
    72576000*s7a*sinf - 33264000*s7b*sinf + 56448000*li6half*z2 + 
    78400*ln2^6*z2 - 25452000*s6*z2 - 28224000*li5half*sinf*z2 + 
    235200*ln2^5*sinf*z2 + 4838400*li4half*z2^2 - 974400*ln2^4*z2^2 - 
    2352000*ln2^3*sinf*z2^2 - 24561600*ln2^2*z2^3 - 29517600*ln2*sinf*z2^3 + 
    4561992*z2^4 - 44856000*li5half*z3 + 373800*ln2^5*z3 + 
    5082000*ln2^3*z2*z3 + 13230000*ln2^2*sinf*z2*z3 + 25017300*ln2*z2^2*z3 + 
    13841100*sinf*z2^2*z3 + 28806750*ln2^2*z3^2 + 25231500*ln2*sinf*z3^2 + 
    61637625*z2*z3^2 + 72250500*ln2^3*z5 + 139135500*ln2^2*sinf*z5 + 
    139954500*ln2*z2*z5 + 123732000*sinf*z2*z5 - 163634625*z3*z5 - 
    110431125*ln2*z7 - 116455500*sinf*z7)/14112000, 
 H[1, -1, -1, 0, 1, 0, -1, 1, 1] -> 
  (-45158400*li8half + 18063360*li6half*ln2^2 + 3010560*li5half*ln2^3 - 
    1128960*li4half*ln2^4 - 48160*ln2^8 + 22982400*ln2^2*s6 - 23845815*s8a - 
    72797760*s8b - 28465920*s8c + 13789440*s8d + 18063360*li7half*sinf + 
    27095040*li6half*ln2*sinf + 4515840*li5half*ln2^2*sinf - 
    1505280*li4half*ln2^3*sinf - 66304*ln2^7*sinf + 10241280*ln2*s6*sinf - 
    80640*s7a*sinf - 2903040*s7b*sinf - 18063360*li6half*z2 - 
    7902720*li5half*ln2*z2 + 2257920*li4half*ln2^2*z2 + 323008*ln2^6*z2 - 
    28990080*s6*z2 - 13547520*li5half*sinf*z2 + 376320*ln2^5*sinf*z2 + 
    1628928*li4half*z2^2 - 2340576*ln2^4*z2^2 - 3471552*ln2^3*sinf*z2^2 - 
    3894912*ln2^2*z2^3 - 5487552*ln2*sinf*z2^3 - 3042504*z2^4 + 
    6572160*li5half*z3 - 54768*ln2^5*z3 + 1128960*li4half*sinf*z3 + 
    47040*ln2^4*sinf*z3 + 3299520*ln2^3*z2*z3 + 4374720*ln2^2*sinf*z2*z3 + 
    22381128*ln2*z2^2*z3 + 1145088*sinf*z2^2*z3 + 1454040*ln2^2*z3^2 - 
    4793040*ln2*sinf*z3^2 + 25089120*z2*z3^2 + 1223040*ln2^3*z5 + 
    4568760*ln2^2*sinf*z5 + 87267600*ln2*z2*z5 + 18459000*sinf*z2*z5 - 
    5498955*z3*z5 - 29492820*sinf*z7)/2257920, 
 H[1, -1, -1, 0, 1, 0, -1, 0, 1] -> 
  (-18144000*ln2^2*s6 + 22070475*s8a - 45360000*s8b + 36288000*s8c - 
    36288000*s8d - 10080000*ln2*s6*sinf + 10080000*s7a*sinf + 
    10080000*s7b*sinf + 197568000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    431200*ln2^6*z2 + 159012000*s6*z2 + 28224000*li5half*sinf*z2 - 
    235200*ln2^5*sinf*z2 - 7257600*li4half*z2^2 + 2637600*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 - 1675800*ln2^2*z2^3 + 11214000*ln2*sinf*z2^3 - 
    15218334*z2^4 + 44352000*li5half*z3 - 369600*ln2^5*z3 - 
    3360000*ln2^3*z2*z3 - 10584000*ln2^2*sinf*z2*z3 - 18005400*ln2*z2^2*z3 - 
    5588100*sinf*z2^2*z3 - 6205500*ln2^2*z3^2 + 10395000*ln2*sinf*z3^2 - 
    50974875*z2*z3^2 - 9408000*ln2^3*z5 - 14112000*ln2^2*sinf*z5 - 
    116581500*ln2*z2*z5 - 36886500*sinf*z2*z5 - 26397000*z3*z5 + 
    32862375*sinf*z7)/14112000, H[1, -1, -1, 0, 1, 0, -1, -1, 1] -> 
  (-90316800*li7half*ln2 - 45158400*li6half*ln2^2 - 7526400*li5half*ln2^3 + 
    17920*ln2^8 - 7963200*ln2^2*s6 - 11894400*ln2*s7a + 31852800*ln2*s7b - 
    5175450*s8a + 19152000*s8b - 4032000*s8c + 4032000*s8d - 
    135475200*li7half*sinf - 67737600*li6half*ln2*sinf - 
    11289600*li5half*ln2^2*sinf + 26880*ln2^7*sinf - 9676800*ln2*s6*sinf - 
    15724800*s7a*sinf + 35078400*s7b*sinf + 33868800*li6half*z2 + 
    11289600*li5half*ln2*z2 - 109760*ln2^6*z2 + 4636800*s6*z2 - 
    94080*ln2^5*sinf*z2 + 806400*li4half*z2^2 + 268800*ln2^4*z2^2 - 
    1663200*ln2^2*z2^3 - 3699360*ln2*sinf*z2^3 - 1314468*z2^4 - 
    13003200*li5half*z3 + 108360*ln2^5*z3 - 260400*ln2^3*z2*z3 + 
    1234800*ln2^2*sinf*z2*z3 - 10712520*ln2*z2^2*z3 - 9502920*sinf*z2^2*z3 - 
    14102550*ln2^2*z3^2 - 20273400*ln2*sinf*z3^2 + 3200400*z2*z3^2 - 
    36323700*ln2^3*z5 - 40131000*ln2^2*sinf*z5 - 91923300*ln2*z2*z5 - 
    104630400*sinf*z2*z5 - 22390200*z3*z5 + 223739775*ln2*z7 + 
    307347075*sinf*z7)/5644800, H[1, -1, -1, 0, 1, -1, 1, 1, 1] -> 
  (4459392000*li8half + 141120000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 144200*ln2^8 - 485856000*ln2^2*s6 + 
    1694251650*s8a + 10427760000*s8b + 1112832000*s8c + 1041600000*s8d - 
    169344000*li7half*sinf + 282240000*li6half*ln2*sinf + 
    9408000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf - 
    44800*ln2^7*sinf + 177408000*ln2*s6*sinf - 36288000*s7a*sinf + 
    53088000*s7b*sinf - 141120000*li6half*z2 - 103488000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 3253600*ln2^6*z2 - 3230976000*s6*z2 - 
    56448000*li5half*sinf*z2 + 4076800*ln2^5*sinf*z2 + 
    201264000*li4half*z2^2 - 52922800*ln2^4*z2^2 - 43982400*ln2^3*sinf*z2^2 + 
    49576800*ln2^2*z2^3 - 57540000*ln2*sinf*z2^3 - 325126176*z2^4 - 
    1831536000*li5half*z3 + 16909200*ln2^5*z3 + 7056000*li4half*sinf*z3 + 
    2352000*ln2^4*sinf*z3 - 138516000*ln2^3*z2*z3 + 
    22932000*ln2^2*sinf*z2*z3 - 1257883200*ln2*z2^2*z3 - 
    11734800*sinf*z2^2*z3 - 192213000*ln2^2*z3^2 - 116802000*ln2*sinf*z3^2 - 
    1209621000*z2*z3^2 - 41209000*ln2^3*z5 - 123333000*ln2^2*sinf*z5 - 
    3142251000*ln2*z2*z5 - 49371000*sinf*z2*z5 + 1518457500*z3*z5 + 
    309763125*sinf*z7)/18816000, H[1, -1, -1, 0, 1, -1, 1, 0, 1] -> 
  (-860160000*li8half - 7168000*li5half*ln2^3 + 38400*ln2^8 + 
    134064000*ln2^2*s6 - 349629525*s8a - 2081016000*s8b - 254688000*s8c - 
    178080000*s8d + 258048000*li7half*sinf - 10752000*li5half*ln2^2*sinf + 
    38400*ln2^7*sinf - 43008000*ln2*s6*sinf + 56448000*s7a*sinf - 
    84672000*s7b*sinf + 8064000*li6half*z2 - 4032000*li5half*ln2*z2 + 
    44800*ln2^6*z2 + 573888000*s6*z2 - 6720000*li5half*sinf*z2 + 
    235200*ln2^5*sinf*z2 - 35616000*li4half*z2^2 + 4653600*ln2^4*z2^2 + 
    8108800*ln2^3*sinf*z2^2 - 21080800*ln2^2*z2^3 + 13883200*ln2*sinf*z2^3 + 
    48981136*z2^4 + 364560000*li5half*z3 - 3038000*ln2^5*z3 + 
    32424000*ln2^3*z2*z3 + 420000*ln2^2*sinf*z2*z3 + 272769000*ln2*z2^2*z3 + 
    23259600*sinf*z2^2*z3 + 36582000*ln2^2*z3^2 + 72093000*ln2*sinf*z3^2 + 
    266784000*z2*z3^2 + 2688000*ln2^3*z5 + 140742000*ln2^2*sinf*z5 + 
    759234000*ln2*z2*z5 + 255255000*sinf*z2*z5 - 308508375*z3*z5 - 
    649477500*sinf*z7)/2688000, H[1, -1, -1, 0, 1, -1, 1, -1, 1] -> 
  (-3409459200*li8half - 135475200*li7half*ln2 - 107251200*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 49840*ln2^8 + 465696000*ln2^2*s6 - 
    24192000*ln2*s7a + 29433600*ln2*s7b - 1320826500*s8a - 8094441600*s8b - 
    962035200*s8c - 694713600*s8d - 33868800*li7half*sinf - 
    214502400*li6half*ln2*sinf - 16934400*li5half*ln2^2*sinf - 
    150080*ln2^7*sinf - 54835200*ln2*s6*sinf - 24192000*s7a*sinf - 
    32659200*s7b*sinf + 107251200*li6half*z2 + 39513600*li5half*ln2*z2 - 
    1473920*ln2^6*z2 + 2257315200*s6*z2 - 2728320*ln2^5*sinf*z2 - 
    138942720*li4half*z2^2 + 35441280*ln2^4*z2^2 + 23284800*ln2^3*sinf*z2^2 - 
    66265920*ln2^2*z2^3 + 15351840*ln2*sinf*z2^3 + 174611232*z2^4 + 
    1373904000*li5half*z3 - 12437040*ln2^5*z3 - 1234800*ln2^4*sinf*z3 + 
    114139200*ln2^3*z2*z3 - 2116800*ln2^2*sinf*z2*z3 + 
    1021532400*ln2*z2^2*z3 + 6743520*sinf*z2^2*z3 + 142707600*ln2^2*z3^2 + 
    45082800*ln2*sinf*z3^2 + 992300400*z2*z3^2 - 43629600*ln2^3*z5 + 
    5644800*ln2^2*sinf*z5 + 2770450200*ln2*z2*z5 + 96201000*sinf*z2*z5 - 
    1048518450*z3*z5 + 344324925*ln2*z7 - 153784575*sinf*z7)/11289600, 
 H[1, -1, -1, 0, 1, -1, 0, 1, 1] -> 
  (338688000*li4half^2 + 6773760000*li8half - 677376000*li6half*ln2^2 + 
    84672000*li4half*ln2^4 + 2167200*ln2^8 - 1482768000*ln2^2*s6 + 
    2497787775*s8a + 14843304000*s8b + 2231712000*s8c + 647136000*s8d - 
    3612672000*li7half*sinf - 1354752000*li6half*ln2*sinf + 
    75264000*li4half*ln2^3*sinf + 1971200*ln2^7*sinf + 12096000*ln2*s6*sinf - 
    745920000*s7a*sinf + 862848000*s7b*sinf + 1862784000*li6half*z2 + 
    677376000*li5half*ln2*z2 - 169344000*li4half*ln2^2*z2 - 
    14817600*ln2^6*z2 - 1802304000*s6*z2 + 620928000*li5half*sinf*z2 + 
    225792000*li4half*ln2*sinf*z2 - 1411200*ln2^5*sinf*z2 + 
    22176000*li4half*z2^2 + 46788000*ln2^4*z2^2 + 5880000*ln2^3*sinf*z2^2 + 
    99640800*ln2^2*z2^3 - 49896000*ln2*sinf*z2^3 - 273031776*z2^4 - 
    3241728000*li5half*z3 + 27014400*ln2^5*z3 - 197568000*li4half*sinf*z3 - 
    8232000*ln2^4*sinf*z3 - 281904000*ln2^3*z2*z3 + 
    31752000*ln2^2*sinf*z2*z3 - 2443253400*ln2*z2^2*z3 - 
    176626800*sinf*z2^2*z3 - 170730000*ln2^2*z3^2 - 646191000*ln2*sinf*z3^2 - 
    2517858000*z2*z3^2 + 106722000*ln2^3*z5 - 1398411000*ln2^2*sinf*z5 - 
    7798518000*ln2*z2*z5 - 3402063000*sinf*z2*z5 + 2311241625*z3*z5 + 
    7913493000*sinf*z7)/56448000, H[1, -1, -1, 0, 1, -1, 0, 0, 1] -> 
  (-10416000*ln2^2*s6 - 20561100*s8a - 213024000*s8b - 26208000*s8c - 
    11424000*s8d - 34272000*ln2*s6*sinf - 12768000*s7a*sinf + 
    53088000*s7b*sinf - 225792000*li6half*z2 + 37632000*li4half*ln2^2*z2 + 
    1254400*ln2^6*z2 - 66528000*s6*z2 + 18816000*li4half*ln2*sinf*z2 + 
    784000*ln2^5*sinf*z2 - 21100800*li4half*z2^2 + 1472800*ln2^4*z2^2 + 
    5880000*ln2^3*sinf*z2^2 + 12409600*ln2^2*z2^3 + 9615200*ln2*sinf*z2^3 + 
    22711364*z2^4 + 79296000*li5half*z3 - 660800*ln2^5*z3 + 
    23520000*li4half*sinf*z3 + 980000*ln2^4*sinf*z3 + 8960000*ln2^3*z2*z3 - 
    2352000*ln2^2*sinf*z2*z3 + 41575800*ln2*z2^2*z3 - 23553600*sinf*z2^2*z3 + 
    7581000*ln2^2*z3^2 - 8169000*ln2*sinf*z3^2 + 71620500*z2*z3^2 + 
    16758000*ln2^3*z5 - 38661000*ln2^2*sinf*z5 + 133528500*ln2*z2*z5 - 
    131323500*sinf*z2*z5 - 77398125*z3*z5 + 224264250*sinf*z7)/9408000, 
 H[1, -1, -1, 0, 1, -1, 0, -1, 1] -> 
  (451584000*li4half^2 - 4515840000*li8half + 1806336000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 37632000*li4half*ln2^4 + 1254400*ln2^8 + 
    349776000*ln2^2*s6 + 661248000*ln2*s7a - 227808000*ln2*s7b - 
    2130034725*s8a - 11718504000*s8b - 1514016000*s8c - 997920000*s8d + 
    5419008000*li7half*sinf + 1354752000*li6half*ln2*sinf + 
    806400*ln2^7*sinf - 673344000*ln2*s6*sinf + 1181376000*s7a*sinf - 
    1316448000*s7b*sinf - 84672000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 11564000*ln2^6*z2 + 3280032000*s6*z2 + 
    84672000*li5half*sinf*z2 + 112896000*li4half*ln2*sinf*z2 - 
    1646400*ln2^5*sinf*z2 - 538272000*li4half*z2^2 + 66830400*ln2^4*z2^2 + 
    74793600*ln2^3*sinf*z2^2 + 53272800*ln2^2*z2^3 + 
    264448800*ln2*sinf*z2^3 + 424099584*z2^4 + 1833552000*li5half*z3 + 
    592704000*li4half*ln2*z3 + 9416400*ln2^5*z3 - 56448000*li4half*sinf*z3 - 
    2352000*ln2^4*sinf*z3 + 24612000*ln2^3*z2*z3 + 
    44100000*ln2^2*sinf*z2*z3 + 1361291400*ln2*z2^2*z3 + 
    409701600*sinf*z2^2*z3 + 839916000*ln2^2*z3^2 + 
    1077615000*ln2*sinf*z3^2 + 1694479500*z2*z3^2 + 936831000*ln2^3*z5 + 
    2533104000*ln2^2*sinf*z5 + 4975299000*ln2*z2*z5 + 3857805000*sinf*z2*z5 - 
    2309713875*z3*z5 - 2858585625*ln2*z7 - 11437216875*sinf*z7)/56448000, 
 H[1, -1, -1, 0, 1, -1, -1, 1, 1] -> 
  (-564480000*li8half - 423360000*li6half*ln2^2 - 169344000*li5half*ln2^3 + 
    809200*ln2^8 + 371952000*ln2^2*s6 - 1574321175*s8a - 7720776000*s8b - 
    997920000*s8c - 1020096000*s8d - 508032000*li6half*ln2*sinf - 
    197568000*li5half*ln2^2*sinf + 940800*ln2^7*sinf - 
    393120000*ln2*s6*sinf + 181440000*s7a*sinf - 241920000*s7b*sinf + 
    423360000*li6half*z2 + 366912000*li5half*ln2*z2 - 7369600*ln2^6*z2 + 
    3176208000*s6*z2 + 169344000*li5half*sinf*z2 - 7291200*ln2^5*sinf*z2 - 
    204019200*li4half*z2^2 + 58884000*ln2^4*z2^2 + 48686400*ln2^3*sinf*z2^2 - 
    293126400*ln2^2*z2^3 + 7056000*ln2*sinf*z2^3 + 161651232*z2^4 + 
    1468656000*li5half*z3 - 12238800*ln2^5*z3 + 122388000*ln2^3*z2*z3 + 
    1094599800*ln2*z2^2*z3 + 69552000*sinf*z2^2*z3 + 192591000*ln2^2*z3^2 + 
    306180000*ln2*sinf*z3^2 + 1091538000*z2*z3^2 + 278565000*ln2^3*z5 + 
    752787000*ln2^2*sinf*z5 + 2322999000*ln2*z2*z5 + 395766000*sinf*z2*z5 - 
    2784387375*z3*z5 - 864438750*sinf*z7)/56448000, 
 H[1, -1, -1, 0, 1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4515840000*li8half + 37632000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 - 103600*ln2^8 - 879480000*ln2^2*s6 + 
    2285071425*s8a + 12909960000*s8b + 1610784000*s8c + 1211616000*s8d - 
    1354752000*li7half*sinf + 56448000*li5half*ln2^2*sinf - 
    201600*ln2^7*sinf + 271152000*ln2*s6*sinf - 419328000*s7a*sinf + 
    554400000*s7b*sinf - 338688000*li6half*z2 - 70560000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1293600*ln2^6*z2 - 3982608000*s6*z2 + 
    14112000*li5half*sinf*z2 + 28224000*li4half*ln2*sinf*z2 + 
    117600*ln2^5*sinf*z2 + 202809600*li4half*z2^2 - 39354000*ln2^4*z2^2 - 
    56683200*ln2^3*sinf*z2^2 + 240374400*ln2^2*z2^3 - 
    42756000*ln2*sinf*z2^3 - 288795552*z2^4 - 2440872000*li5half*z3 + 
    20340600*ln2^5*z3 - 7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 
    202230000*ln2^3*z2*z3 + 3528000*ln2^2*sinf*z2*z3 - 
    1787574600*ln2*z2^2*z3 - 156479400*sinf*z2^2*z3 - 199284750*ln2^2*z3^2 - 
    469696500*ln2*sinf*z3^2 - 1678635000*z2*z3^2 - 14553000*ln2^3*z5 - 
    965128500*ln2^2*sinf*z5 - 4535559000*ln2*z2*z5 - 1592388000*sinf*z2*z5 + 
    2694139875*z3*z5 + 3810618000*sinf*z7)/28224000, 
 H[1, -1, -1, 0, 1, -1, -1, -1, 1] -> 
  (28224000*li4half^2 + 4798080000*li8half + 903168000*li7half*ln2 + 
    536256000*li6half*ln2^2 + 131712000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 - 70000*ln2^8 - 774144000*ln2^2*s6 + 
    116928000*ln2*s7a - 24192000*ln2*s7b + 2042212725*s8a + 12543048000*s8b + 
    1441440000*s8c + 1183392000*s8d + 903168000*li7half*sinf + 
    733824000*li6half*ln2*sinf + 141120000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf + 56000*ln2^7*sinf + 72576000*ln2*s6*sinf + 
    12096000*s7a*sinf + 82656000*s7b*sinf - 366912000*li6half*z2 - 
    141120000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 2665600*ln2^6*z2 - 
    3721536000*s6*z2 + 4939200*ln2^5*sinf*z2 + 214099200*li4half*z2^2 - 
    48938400*ln2^4*z2^2 - 25401600*ln2^3*sinf*z2^2 + 256183200*ln2^2*z2^3 + 
    88653600*ln2*sinf*z2^3 - 231830784*z2^4 - 2331504000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 21781200*ln2^5*z3 - 198408000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 - 1667547000*ln2*z2^2*z3 - 
    20059200*sinf*z2^2*z3 - 120487500*ln2^2*z3^2 - 87633000*ln2*sinf*z3^2 - 
    1525167000*z2*z3^2 + 3969000*ln2^3*z5 - 192276000*ln2^2*sinf*z5 - 
    4124925000*ln2*z2*z5 - 245007000*sinf*z2*z5 + 2031757875*z3*z5 - 
    1408727250*ln2*z7 - 462191625*sinf*z7)/56448000, 
 H[1, -1, -1, 0, 0, 1, 1, 1, 1] -> 
  (-169344000*li4half^2 - 282240000*li8half + 84672000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 203000*ln2^8 + 
    26208000*ln2^2*s6 + 886725*s8a - 234360000*s8b - 10080000*s8c - 
    4032000*s8d + 225792000*li7half*sinf + 169344000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    112000*ln2^7*sinf - 14112000*ln2*s6*sinf + 56448000*s7a*sinf + 
    28224000*s7b*sinf - 84672000*li6half*z2 - 141120000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1450400*ln2^6*z2 - 6048000*s6*z2 - 
    84672000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1881600*ln2^5*sinf*z2 - 30441600*li4half*z2^2 - 4208400*ln2^4*z2^2 + 
    7056000*ln2^3*sinf*z2^2 + 8299200*ln2^2*z2^3 + 13574400*ln2*sinf*z2^3 + 
    17081016*z2^4 + 297360000*li5half*z3 - 2478000*ln2^5*z3 + 
    105840000*li4half*sinf*z3 + 4410000*ln2^4*sinf*z3 + 3024000*ln2^3*z2*z3 - 
    52920000*ln2^2*sinf*z2*z3 + 20853000*ln2*z2^2*z3 - 
    69501600*sinf*z2^2*z3 - 567000*ln2^2*z3^2 + 66591000*ln2*sinf*z3^2 + 
    8442000*z2*z3^2 - 17640000*ln2^3*z5 + 882000*ln2^2*sinf*z5 + 
    97713000*ln2*z2*z5 - 41013000*sinf*z2*z5 + 75166875*z3*z5 + 
    113998500*sinf*z7)/28224000, H[1, -1, -1, 0, 0, 1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    5040000*ln2^2*s6 - 33300225*s8a - 76104000*s8b + 10080000*s8c - 
    38304000*s8d + 2016000*ln2*s6*sinf - 2016000*s7a*sinf - 
    16128000*s7b*sinf + 84672000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    588000*ln2^6*z2 + 111888000*s6*z2 + 28224000*li5half*sinf*z2 + 
    14112000*li4half*ln2*sinf*z2 + 352800*ln2^5*sinf*z2 + 
    5040000*li4half*z2^2 + 1974000*ln2^4*z2^2 - 1176000*ln2^3*sinf*z2^2 - 
    6501600*ln2^2*z2^3 - 3477600*ln2*sinf*z2^3 + 15209424*z2^4 - 
    15120000*li5half*z3 + 126000*ln2^5*z3 - 52920000*li4half*sinf*z3 - 
    2205000*ln2^4*sinf*z3 - 1260000*ln2^3*z2*z3 + 13230000*ln2^2*sinf*z2*z3 + 
    19719000*ln2*z2^2*z3 + 37182600*sinf*z2^2*z3 - 12222000*ln2^2*z3^2 - 
    24129000*ln2*sinf*z3^2 + 14931000*z2*z3^2 + 6762000*ln2^3*z5 + 
    23814000*ln2^2*sinf*z5 - 91980000*ln2*z2*z5 + 30618000*sinf*z2*z5 - 
    189055125*z3*z5 - 145829250*sinf*z7)/14112000, 
 H[1, -1, -1, 0, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 + 564480000*li8half + 112896000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    16464000*li4half*ln2^4 - 449400*ln2^8 - 86688000*ln2^2*s6 - 
    16128000*ln2*s7a - 171360000*ln2*s7b + 281477700*s8a + 1965600000*s8b + 
    233856000*s8c + 161280000*s8d - 112896000*li7half*sinf - 
    169344000*li6half*ln2*sinf - 56448000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 526400*ln2^7*sinf - 44352000*ln2*s6*sinf + 
    72576000*s7a*sinf - 26208000*s7b*sinf + 84672000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 4233600*ln2^6*z2 - 
    534240000*s6*z2 + 56448000*li4half*ln2*sinf*z2 + 5409600*ln2^5*sinf*z2 + 
    83059200*li4half*z2^2 - 14061600*ln2^4*z2^2 - 12700800*ln2^3*sinf*z2^2 - 
    14498400*ln2^2*z2^3 - 25821600*ln2*sinf*z2^3 - 16041408*z2^4 - 
    336672000*li5half*z3 - 275184000*li4half*ln2*z3 - 8660400*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 + 52500000*ln2^3*z2*z3 + 
    21168000*ln2^2*sinf*z2*z3 - 33742800*ln2*z2^2*z3 + 
    27468000*sinf*z2^2*z3 - 99792000*ln2^2*z3^2 - 2772000*ln2*sinf*z3^2 - 
    202072500*z2*z3^2 + 195363000*ln2^3*z5 + 163170000*ln2^2*sinf*z5 - 
    260820000*ln2*z2*z5 + 80073000*sinf*z2*z5 + 50226750*z3*z5 - 
    1286089875*ln2*z7 + 9064125*sinf*z7)/28224000, 
 H[1, -1, -1, 0, 0, 1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    40992000*ln2^2*s6 - 61652325*s8a - 354984000*s8b - 58464000*s8c - 
    30912000*s8d + 7392000*ln2*s6*sinf + 16128000*s7a*sinf - 
    40320000*s7b*sinf - 56448000*li6half*z2 - 4704000*li4half*ln2^2*z2 - 
    274400*ln2^6*z2 + 57120000*s6*z2 + 37632000*li5half*sinf*z2 + 
    18816000*li4half*ln2*sinf*z2 + 470400*ln2^5*sinf*z2 - 
    25468800*li4half*z2^2 - 473200*ln2^4*z2^2 - 1568000*ln2^3*sinf*z2^2 - 
    4614400*ln2^2*z2^3 - 5768000*ln2*sinf*z2^3 + 4487808*z2^4 - 
    13440000*li5half*z3 + 112000*ln2^5*z3 - 11760000*li4half*sinf*z3 - 
    490000*ln2^4*sinf*z3 + 8288000*ln2^3*z2*z3 + 17052000*ln2^2*sinf*z2*z3 + 
    37275000*ln2*z2^2*z3 + 15590400*sinf*z2^2*z3 + 3003000*ln2^2*z3^2 + 
    9723000*ln2*sinf*z3^2 + 94857000*z2*z3^2 - 11172000*ln2^3*z5 + 
    37926000*ln2^2*sinf*z5 + 214935000*ln2*z2*z5 + 120057000*sinf*z2*z5 - 
    89152875*z3*z5 - 262316250*sinf*z7)/9408000, 
 H[1, -1, -1, 0, 0, 1, 0, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    20664000*ln2^2*s6 + 59735025*s8a + 309960000*s8b + 41328000*s8c + 
    43344000*s8d + 18144000*ln2*s6*sinf - 18144000*s7a*sinf + 
    24192000*s7b*sinf + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 - 
    111384000*s6*z2 - 5443200*li4half*z2^2 - 1108800*ln2^4*z2^2 + 
    20260800*ln2^2*z2^3 + 11062800*ln2*sinf*z2^3 - 4273026*z2^4 - 
    58464000*li5half*z3 + 487200*ln2^5*z3 + 10584000*li4half*sinf*z3 + 
    441000*ln2^4*sinf*z3 - 4872000*ln2^3*z2*z3 - 2646000*ln2^2*sinf*z2*z3 - 
    54142200*ln2*z2^2*z3 - 15731100*sinf*z2^2*z3 - 2173500*ln2^2*z3^2 - 
    15403500*ln2*sinf*z3^2 - 62858250*z2*z3^2 - 13230000*ln2^3*z5 - 
    60858000*ln2^2*sinf*z5 - 159043500*ln2*z2*z5 - 90688500*sinf*z2*z5 + 
    184826250*z3*z5 + 161910000*sinf*z7)/7056000, 
 H[1, -1, -1, 0, 0, 1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    69552000*ln2^2*s6 + 36288000*ln2*s7a + 57456000*ln2*s7b + 98172900*s8a + 
    294336000*s8b + 31248000*s8c + 81648000*s8d + 65520000*ln2*s6*sinf - 
    100800000*s7a*sinf + 5040000*s7b*sinf - 42336000*li6half*z2 - 
    49392000*li4half*ln2^2*z2 - 2116800*ln2^6*z2 - 230328000*s6*z2 + 
    28224000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*z2 + 
    352800*ln2^5*sinf*z2 - 76104000*li4half*z2^2 + 3003000*ln2^4*z2^2 - 
    1176000*ln2^3*sinf*z2^2 + 66696000*ln2^2*z2^3 + 19815600*ln2*sinf*z2^3 - 
    36782586*z2^4 - 198576000*li5half*z3 + 172872000*li4half*ln2*z3 + 
    8857800*ln2^5*z3 - 7056000*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 - 
    60942000*ln2^3*z2*z3 - 178888500*ln2*z2^2*z3 - 4403700*sinf*z2^2*z3 + 
    88924500*ln2^2*z3^2 - 30082500*ln2*sinf*z3^2 - 76907250*z2*z3^2 - 
    40204500*ln2^3*z5 - 132079500*ln2^2*sinf*z5 - 233635500*ln2*z2*z5 - 
    35311500*sinf*z2*z5 + 520789500*z3*z5 + 555534000*ln2*z7 - 
    62645625*sinf*z7)/14112000, H[1, -1, -1, 0, 0, 1, -1, 1, 1] -> 
  (24192000*li4half^2 + 16128000*li8half + 8064000*li6half*ln2^2 - 
    10752000*li5half*ln2^3 + 59200*ln2^8 + 10080000*ln2^2*s6 - 17265150*s8a - 
    187488000*s8b - 12096000*s8c - 26208000*s8d - 112896000*li7half*sinf - 
    16128000*li6half*ln2*sinf - 16128000*li5half*ln2^2*sinf - 
    2688000*li4half*ln2^3*sinf + 22400*ln2^7*sinf + 3168000*ln2*s6*sinf - 
    25344000*s7a*sinf + 37152000*s7b*sinf - 8064000*li6half*z2 + 
    32256000*li5half*ln2*z2 + 16128000*li4half*ln2^2*z2 - 179200*ln2^6*z2 + 
    67536000*s6*z2 + 16128000*li5half*sinf*z2 - 940800*ln2^5*sinf*z2 - 
    21369600*li4half*z2^2 - 218400*ln2^4*z2^2 - 1377600*ln2^3*sinf*z2^2 + 
    818400*ln2^2*z2^3 + 1672800*ln2*sinf*z2^3 + 2155416*z2^4 - 
    4032000*li5half*z3 - 436800*ln2^5*z3 + 2016000*li4half*sinf*z3 - 
    504000*ln2^4*sinf*z3 + 7056000*ln2^3*z2*z3 + 5544000*ln2^2*sinf*z2*z3 + 
    11440800*ln2*z2^2*z3 - 11437200*sinf*z2^2*z3 - 9009000*ln2^2*z3^2 - 
    27648000*ln2*sinf*z3^2 + 29043000*z2*z3^2 - 168000*ln2^3*z5 - 
    60795000*ln2^2*sinf*z5 + 44352000*ln2*z2*z5 - 103275000*sinf*z2*z5 - 
    28365750*z3*z5 + 247883625*sinf*z7)/8064000, 
 H[1, -1, -1, 0, 0, 1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    8904000*ln2^2*s6 + 54443025*s8a + 318192000*s8b + 41328000*s8c + 
    33936000*s8d + 17808000*ln2*s6*sinf + 5712000*s7a*sinf - 
    8400000*s7b*sinf - 28224000*li5half*ln2*z2 + 4704000*li4half*ln2^2*z2 + 
    431200*ln2^6*z2 - 102564000*s6*z2 - 9408000*li5half*sinf*z2 - 
    4704000*li4half*ln2*sinf*z2 - 117600*ln2^5*sinf*z2 + 
    21134400*li4half*z2^2 - 4411400*ln2^4*z2^2 - 4900000*ln2^3*sinf*z2^2 + 
    10537800*ln2^2*z2^3 - 3889200*ln2*sinf*z2^3 - 699666*z2^4 - 
    37296000*li5half*z3 + 310800*ln2^5*z3 + 1176000*li4half*sinf*z3 + 
    49000*ln2^4*sinf*z3 - 6538000*ln2^3*z2*z3 - 2352000*ln2^2*sinf*z2*z3 - 
    44116800*ln2*z2^2*z3 + 1547700*sinf*z2^2*z3 - 8163750*ln2^2*z3^2 + 
    2436000*ln2*sinf*z3^2 - 53303250*z2*z3^2 - 6811000*ln2^3*z5 + 
    3454500*ln2^2*sinf*z5 - 130746000*ln2*z2*z5 + 19456500*sinf*z2*z5 + 
    93300375*z3*z5 - 11867625*sinf*z7)/4704000, 
 H[1, -1, -1, 0, 0, 1, -1, -1, 1] -> 
  (22579200*li4half^2 - 361267200*li8half - 225792000*li7half*ln2 - 
    11289600*li6half*ln2^2 + 15052800*li5half*ln2^3 + 1881600*li4half*ln2^4 - 
    66080*ln2^8 + 102412800*ln2^2*s6 - 64512000*ln2*s7a + 93542400*ln2*s7b - 
    125716500*s8a - 935424000*s8b - 104025600*s8c - 76608000*s8d - 
    67737600*li7half*sinf + 22579200*li6half*ln2*sinf + 
    22579200*li5half*ln2^2*sinf - 143360*ln2^7*sinf + 71366400*ln2*s6*sinf - 
    57254400*s7a*sinf + 2016000*s7b*sinf - 11289600*li6half*z2 - 
    22579200*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 203840*ln2^6*z2 + 
    236476800*s6*z2 + 1128960*ln2^5*sinf*z2 - 35078400*li4half*z2^2 - 
    3907680*ln2^4*z2^2 - 4233600*ln2^3*sinf*z2^2 - 9391200*ln2^2*z2^3 - 
    6595680*ln2*sinf*z2^3 + 4406568*z2^4 + 158860800*li5half*z3 + 
    59270400*li4half*ln2*z3 + 1804320*ln2^5*z3 + 823200*ln2^4*sinf*z3 - 
    11222400*ln2^3*z2*z3 - 8467200*ln2^2*sinf*z2*z3 + 59502240*ln2*z2^2*z3 - 
    3260880*sinf*z2^2*z3 - 24381000*ln2^2*z3^2 - 23940000*ln2*sinf*z3^2 + 
    86839200*z2*z3^2 - 171108000*ln2^3*z5 - 84407400*ln2^2*sinf*z5 + 
    59346000*ln2*z2*z5 - 7774200*sinf*z2*z5 + 14578200*z3*z5 + 
    798953400*ln2*z7 + 36406125*sinf*z7)/11289600, 
 H[1, -1, -1, 0, 0, 0, 1, 1, 1] -> (-2688000*ln2^2*s6 + 9792825*s8a + 
    61488000*s8b + 5376000*s8c + 8736000*s8d + 7056000*ln2*s6*sinf - 
    7056000*s7a*sinf - 24528000*s6*z2 + 12096000*li4half*z2^2 + 
    504000*ln2^4*z2^2 - 1170400*ln2^2*z2^3 + 397600*ln2*sinf*z2^3 - 
    3439808*z2^4 + 1344000*li5half*z3 - 11200*ln2^5*z3 - 
    9408000*li4half*sinf*z3 - 392000*ln2^4*sinf*z3 - 1456000*ln2^3*z2*z3 + 
    2167200*ln2*z2^2*z3 + 4410000*sinf*z2^2*z3 - 168000*ln2^2*z3^2 - 
    7644000*ln2*sinf*z3^2 - 8148000*z2*z3^2 - 1421000*ln2^3*z5 - 
    8967000*ln2^2*sinf*z5 - 13996500*ln2*z2*z5 - 220500*sinf*z2*z5 - 
    1758750*z3*z5 - 8581125*sinf*z7)/4704000, 
 H[1, -1, -1, 0, 0, 0, 1, 0, 1] -> (2688000*ln2^2*s6 - 20148975*s8a - 
    143808000*s8b - 5376000*s8c - 32256000*s8d - 18816000*ln2*s6*sinf + 
    18816000*s7a*sinf + 83328000*s6*z2 - 1747200*li4half*z2^2 - 
    72800*ln2^4*z2^2 - 5650400*ln2^2*z2^3 - 1338400*ln2*sinf*z2^3 + 
    7429024*z2^4 + 26880000*li5half*z3 - 224000*ln2^5*z3 + 
    18816000*li4half*sinf*z3 + 784000*ln2^4*sinf*z3 + 2240000*ln2^3*z2*z3 - 
    4704000*ln2^2*sinf*z2*z3 + 8652000*ln2*z2^2*z3 - 8820000*sinf*z2^2*z3 - 
    1008000*ln2^2*z3^2 + 19992000*ln2*sinf*z3^2 + 12852000*z2*z3^2 + 
    5880000*ln2^3*z5 + 27048000*ln2^2*sinf*z5 + 20317500*ln2*z2*z5 + 
    4924500*sinf*z2*z5 - 52447500*z3*z5 + 12586875*sinf*z7)/4704000, 
 H[1, -1, -1, 0, 0, 0, 1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    49896000*ln2^2*s6 - 19152000*ln2*s7a + 37296000*ln2*s7b - 219235275*s8a - 
    1191456000*s8b - 117936000*s8c - 185472000*s8d - 74592000*ln2*s6*sinf + 
    18144000*s7a*sinf + 53424000*s7b*sinf + 84672000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 - 411600*ln2^6*z2 + 550872000*s6*z2 - 
    42336000*li4half*ln2*sinf*z2 - 1764000*ln2^5*sinf*z2 - 
    24393600*li4half*z2^2 + 8685600*ln2^4*z2^2 + 15876000*ln2^3*sinf*z2^2 - 
    32600400*ln2^2*z2^3 + 23276400*ln2*sinf*z2^3 + 40763706*z2^4 + 
    314496000*li5half*z3 - 2620800*ln2^5*z3 + 28224000*li4half*sinf*z3 + 
    1176000*ln2^4*sinf*z3 + 17388000*ln2^3*z2*z3 - 
    25578000*ln2^2*sinf*z2*z3 + 159257700*ln2*z2^2*z3 - 
    27398700*sinf*z2^2*z3 - 9339750*ln2^2*z3^2 + 18711000*ln2*sinf*z3^2 + 
    154050750*z2*z3^2 - 41307000*ln2^3*z5 - 14112000*ln2^2*sinf*z5 + 
    121212000*ln2*z2*z5 - 158035500*sinf*z2*z5 - 540099000*z3*z5 + 
    191307375*ln2*z7 + 303565500*sinf*z7)/14112000, 
 H[1, -1, -1, 0, 0, 0, 0, 1, 1] -> (-168000*ln2^2*s6 + 400050*s8a + 
    3528000*s8b + 1008000*s8d + 336000*ln2*s6*sinf - 672000*s7a*sinf - 
    2016000*s6*z2 + 268800*li4half*z2^2 + 11200*ln2^4*z2^2 + 
    67200*ln2^2*z2^3 - 363612*z2^4 - 672000*li5half*z3 + 5600*ln2^5*z3 - 
    672000*li4half*sinf*z3 - 28000*ln2^4*sinf*z3 - 56000*ln2^3*z2*z3 + 
    168000*ln2^2*sinf*z2*z3 - 33600*ln2*z2^2*z3 + 319200*sinf*z2^2*z3 + 
    126000*ln2^2*z3^2 - 588000*ln2*sinf*z3^2 - 756000*z2*z3^2 + 
    112000*ln2^3*z5 - 483000*ln2^2*sinf*z5 - 493500*ln2*z2*z5 - 
    651000*sinf*z2*z5 + 2638125*z3*z5 + 317625*sinf*z7)/336000, 
 H[1, -1, -1, 0, 0, 0, 0, 0, 1] -> 
  (67200*s8b - 67200*s6*z2 + 53760*li4half*z2^2 + 2240*ln2^4*z2^2 - 
    36000*ln2^2*z2^3 - 14880*ln2*sinf*z2^3 + 2592*z2^4 + 50400*ln2*z2^2*z3 + 
    23520*sinf*z2^2*z3 + 50400*z2*z3^2 + 100800*ln2*z2*z5 + 
    33600*sinf*z2*z5 - 233100*z3*z5 - 131775*sinf*z7)/67200, 
 H[1, -1, -1, 0, 0, 0, 0, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    7056000*ln2^2*s6 - 4032000*ln2*s7a - 2016000*ln2*s7b - 5490450*s8a - 
    27216000*s8b - 4032000*s8c - 4032000*s8d + 2016000*ln2*s6*sinf - 
    2016000*s7b*sinf + 2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 
    12096000*s6*z2 + 2217600*li4half*z2^2 - 159600*ln2^4*z2^2 - 
    3326400*ln2^2*z2^3 - 705600*ln2*sinf*z2^3 + 506448*z2^4 + 
    14112000*li5half*z3 - 7056000*li4half*ln2*z3 - 411600*ln2^5*z3 - 
    3024000*li4half*sinf*z3 - 126000*ln2^4*sinf*z3 + 2940000*ln2^3*z2*z3 + 
    756000*ln2^2*sinf*z2*z3 + 11667600*ln2*z2^2*z3 + 2053800*sinf*z2^2*z3 - 
    5229000*ln2^2*z3^2 - 1512000*ln2*sinf*z3^2 + 4221000*z2*z3^2 - 
    2625000*ln2^3*z5 + 945000*ln2^2*sinf*z5 + 18963000*ln2*z2*z5 + 
    5071500*sinf*z2*z5 - 21128625*z3*z5 - 26097750*ln2*z7 - 10001250*sinf*z7)/
   2016000, H[1, -1, -1, 0, 0, 0, -1, 1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 7056000*ln2^2*s6 + 
    23818725*s8a + 157248000*s8b + 12096000*s8c + 27216000*s8d + 
    7344000*ln2*s6*sinf - 4320000*s7a*sinf - 4320000*s7b*sinf - 
    12096000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 + 58800*ln2^6*z2 - 
    73080000*s6*z2 + 6048000*li4half*ln2*sinf*z2 + 252000*ln2^5*sinf*z2 + 
    5342400*li4half*z2^2 - 1163400*ln2^4*z2^2 - 2268000*ln2^3*sinf*z2^2 + 
    4058400*ln2^2*z2^3 - 3021600*ln2*sinf*z2^3 - 5489004*z2^4 - 
    41328000*li5half*z3 + 344400*ln2^5*z3 - 6552000*li4half*sinf*z3 - 
    273000*ln2^4*sinf*z3 - 2436000*ln2^3*z2*z3 + 3906000*ln2^2*sinf*z2*z3 - 
    19643400*ln2*z2^2*z3 + 4228200*sinf*z2^2*z3 + 630000*ln2^2*z3^2 - 
    5053500*ln2*sinf*z3^2 - 20097000*z2*z3^2 + 1911000*ln2^3*z5 + 
    2866500*ln2^2*sinf*z5 - 29578500*ln2*z2*z5 + 7807500*sinf*z2*z5 + 
    68796000*z3*z5 - 19793250*sinf*z7)/2016000, 
 H[1, -1, -1, 0, 0, 0, -1, 0, 1] -> 
  (4032000*ln2^2*s6 - 18336675*s8a - 138096000*s8b - 8064000*s8c - 
    29568000*s8d - 17472000*ln2*s6*sinf + 17472000*s7a*sinf - 
    1344000*s7b*sinf + 60312000*s6*z2 - 33600*li4half*z2^2 - 
    1400*ln2^4*z2^2 - 6798400*ln2^2*z2^3 - 1988000*ln2*sinf*z2^3 + 
    4125392*z2^4 + 30912000*li5half*z3 - 257600*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 2576000*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 + 13389600*ln2*z2^2*z3 - 6111000*sinf*z2^2*z3 - 
    1218000*ln2^2*z3^2 + 17136000*ln2*sinf*z3^2 + 25562250*z2*z3^2 + 
    6272000*ln2^3*z5 + 27636000*ln2^2*sinf*z5 + 56458500*ln2*z2*z5 + 
    18427500*sinf*z2*z5 - 78965250*z3*z5 - 13374375*sinf*z7)/4704000, 
 H[1, -1, -1, 0, 0, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    5040000*ln2^2*s6 + 38304000*ln2*s7a - 32256000*ln2*s7b - 19610325*s8a + 
    83664000*s8b - 16128000*s8c + 16128000*s8d - 17136000*ln2*s6*sinf + 
    52416000*s7a*sinf - 18144000*s7b*sinf + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 49896000*s6*z2 + 26510400*li4half*z2^2 - 
    659400*ln2^4*z2^2 - 18631200*ln2^2*z2^3 - 10399200*ln2*sinf*z2^3 + 
    6942288*z2^4 - 25200000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1848000*ln2^5*z3 - 3528000*li4half*sinf*z3 - 147000*ln2^4*sinf*z3 + 
    12600000*ln2^3*z2*z3 + 4410000*ln2^2*sinf*z2*z3 + 30290400*ln2*z2^2*z3 + 
    8656200*sinf*z2^2*z3 + 9355500*ln2^2*z3^2 + 14143500*ln2*sinf*z3^2 + 
    36902250*z2*z3^2 + 64092000*ln2^3*z5 + 61960500*ln2^2*sinf*z5 + 
    151735500*ln2*z2*z5 + 55503000*sinf*z2*z5 - 114951375*z3*z5 - 
    248936625*ln2*z7 - 56881125*sinf*z7)/14112000, 
 H[1, -1, -1, 0, 0, -1, 1, 1, 1] -> 
  (135475200*li8half - 45158400*li6half*ln2^2 - 3763200*li5half*ln2^3 - 
    28000*ln2^8 - 57254400*ln2^2*s6 + 74976300*s8a + 374774400*s8b + 
    80640000*s8c - 12902400*s8d - 67737600*li7half*sinf - 
    90316800*li6half*ln2*sinf - 11289600*li5half*ln2^2*sinf - 
    17920*ln2^7*sinf - 14112000*ln2*s6*sinf - 19756800*s7a*sinf + 
    8467200*s7b*sinf + 45158400*li6half*z2 + 33868800*li5half*ln2*z2 - 
    5644800*li4half*ln2^2*z2 + 78400*ln2^6*z2 + 8870400*s6*z2 + 
    33868800*li5half*sinf*z2 + 11289600*li4half*ln2*sinf*z2 + 
    846720*ln2^5*sinf*z2 + 12660480*li4half*z2^2 + 2362080*ln2^4*z2^2 + 
    3245760*ln2^3*sinf*z2^2 + 9744000*ln2^2*z2^3 + 7986720*ln2*sinf*z2^3 + 
    4670616*z2^4 - 67334400*li5half*z3 - 97440*ln2^5*z3 - 
    22579200*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 - 10080000*ln2^3*z2*z3 - 
    2469600*ln2^2*sinf*z2*z3 - 79223760*ln2*z2^2*z3 + 4480560*sinf*z2^2*z3 - 
    1505700*ln2^2*z3^2 - 5027400*ln2*sinf*z3^2 - 80721900*z2*z3^2 + 
    4321800*ln2^3*z5 - 14023800*ln2^2*sinf*z5 - 288048600*ln2*z2*z5 - 
    72235800*sinf*z2*z5 + 54409950*z3*z5 + 124174575*sinf*z7)/11289600, 
 H[1, -1, -1, 0, 0, -1, 1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 5040000*ln2^2*s6 - 
    47251575*s8a - 268128000*s8b - 30240000*s8c - 34272000*s8d - 
    21888000*ln2*s6*sinf + 1728000*s7a*sinf + 13824000*s7b*sinf - 
    32256000*li6half*z2 - 8064000*li5half*ln2*z2 - 
    10080000*li4half*ln2^2*z2 - 397600*ln2^6*z2 + 92736000*s6*z2 - 
    4032000*li5half*sinf*z2 - 4032000*li4half*ln2*sinf*z2 - 
    134400*ln2^5*sinf*z2 - 6451200*li4half*z2^2 + 5023200*ln2^4*z2^2 + 
    5208000*ln2^3*sinf*z2^2 - 11685600*ln2^2*z2^3 + 3218400*ln2*sinf*z2^3 + 
    8300988*z2^4 + 73584000*li5half*z3 - 613200*ln2^5*z3 + 
    8064000*li4half*sinf*z3 + 336000*ln2^4*sinf*z3 + 3192000*ln2^3*z2*z3 - 
    3780000*ln2^2*sinf*z2*z3 + 45133200*ln2*z2^2*z3 - 6708600*sinf*z2^2*z3 + 
    5166000*ln2^2*z3^2 + 3987000*ln2*sinf*z3^2 + 41422500*z2*z3^2 + 
    7182000*ln2^3*z5 - 945000*ln2^2*sinf*z5 + 104454000*ln2*z2*z5 - 
    31189500*sinf*z2*z5 - 116030250*z3*z5 + 62973000*sinf*z7)/4032000, 
 H[1, -1, -1, 0, 0, -1, 1, -1, 1] -> 
  (-248371200*li8half - 45158400*li7half*ln2 + 45158400*li6half*ln2^2 + 
    3763200*li5half*ln2^3 + 2822400*li4half*ln2^4 + 151760*ln2^8 + 
    70358400*ln2^2*s6 - 13708800*ln2*s7a + 28627200*ln2*s7b - 173248425*s8a - 
    892785600*s8b - 107654400*s8c - 92736000*s8d + 22579200*li7half*sinf + 
    90316800*li6half*ln2*sinf + 11289600*li5half*ln2^2*sinf + 
    3763200*li4half*ln2^3*sinf + 183680*ln2^7*sinf - 21369600*ln2*s6*sinf + 
    27014400*s7a*sinf + 29836800*s7b*sinf - 45158400*li6half*z2 + 
    16934400*li4half*ln2^2*z2 - 705600*ln2^6*z2 + 282844800*s6*z2 - 
    11289600*li4half*ln2*sinf*z2 - 2257920*ln2^5*sinf*z2 - 
    15724800*li4half*z2^2 + 756000*ln2^4*z2^2 - 987840*ln2^3*sinf*z2^2 - 
    25257120*ln2^2*z2^3 - 1344000*ln2*sinf*z2^3 + 40402392*z2^4 + 
    182649600*li5half*z3 - 14112000*li4half*ln2*z3 - 1451520*ln2^5*z3 + 
    5644800*li4half*sinf*z3 + 1058400*ln2^4*sinf*z3 + 18984000*ln2^3*z2*z3 - 
    705600*ln2^2*sinf*z2*z3 + 128502360*ln2*z2^2*z3 - 8860320*sinf*z2^2*z3 - 
    23826600*ln2^2*z3^2 - 9891000*ln2*sinf*z3^2 + 141598800*z2*z3^2 - 
    27106800*ln2^3*z5 + 11289600*ln2^2*sinf*z5 + 209853000*ln2*z2*z5 - 
    87733800*sinf*z2*z5 - 305186175*z3*z5 + 142050825*ln2*z7 + 
    153972000*sinf*z7)/11289600, H[1, -1, -1, 0, 0, -1, 0, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    90720000*ln2^2*s6 - 138036150*s8a - 753984000*s8b - 139104000*s8c - 
    44352000*s8d - 16128000*ln2*s6*sinf + 58464000*s7a*sinf - 
    54432000*s7b*sinf + 225792000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 431200*ln2^6*z2 + 272160000*s6*z2 - 
    56448000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    1881600*ln2^5*sinf*z2 + 27820800*li4half*z2^2 + 2923200*ln2^4*z2^2 + 
    9408000*ln2^3*sinf*z2^2 - 47796000*ln2^2*z2^3 - 18429600*ln2*sinf*z2^3 - 
    54479484*z2^4 + 166320000*li5half*z3 - 1386000*ln2^5*z3 + 
    35280000*li4half*sinf*z3 + 1470000*ln2^4*sinf*z3 + 18564000*ln2^3*z2*z3 - 
    1764000*ln2^2*sinf*z2*z3 + 144711000*ln2*z2^2*z3 + 3742200*sinf*z2^2*z3 + 
    9418500*ln2^2*z3^2 + 52794000*ln2*sinf*z3^2 + 106533000*z2*z3^2 - 
    21168000*ln2^3*z5 + 77616000*ln2^2*sinf*z5 + 421722000*ln2*z2*z5 + 
    259560000*sinf*z2*z5 - 274231125*z3*z5 - 312259500*sinf*z7)/28224000, 
 H[1, -1, -1, 0, 0, -1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    41328000*ln2^2*s6 + 107452800*s8a + 634032000*s8b + 82656000*s8c + 
    86688000*s8d + 50400000*ln2*s6*sinf - 50400000*s7a*sinf + 
    34272000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    236880000*s6*z2 - 17942400*li4half*z2^2 + 1016400*ln2^4*z2^2 + 
    39664800*ln2^2*z2^3 + 17589600*ln2*sinf*z2^3 - 180492*z2^4 - 
    180432000*li5half*z3 + 1503600*ln2^5*z3 - 21168000*li4half*sinf*z3 - 
    882000*ln2^4*sinf*z3 - 15036000*ln2^3*z2*z3 + 5292000*ln2^2*sinf*z2*z3 - 
    104844600*ln2*z2^2*z3 - 63000*sinf*z2^2*z3 - 8095500*ln2^2*z3^2 - 
    55944000*ln2*sinf*z3^2 - 104548500*z2*z3^2 - 28224000*ln2^3*z5 - 
    124362000*ln2^2*sinf*z5 - 300888000*ln2*z2*z5 - 135072000*sinf*z2*z5 + 
    316236375*z3*z5 + 192181500*sinf*z7)/14112000, 
 H[1, -1, -1, 0, 0, -1, 0, -1, 1] -> 
  (-12096000*ln2^2*s6 - 84672000*ln2*s7a - 14112000*ln2*s7b + 171841950*s8a + 
    244944000*s8b + 151200000*s8c - 38304000*s8d + 100800000*ln2*s6*sinf - 
    143136000*s7a*sinf + 40320000*s7b*sinf + 112896000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 666400*ln2^6*z2 + 
    97776000*s6*z2 - 28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 - 940800*ln2^5*sinf*z2 - 14716800*li4half*z2^2 + 2914800*ln2^4*z2^2 + 
    4704000*ln2^3*sinf*z2^2 + 34087200*ln2^2*z2^3 + 35364000*ln2*sinf*z2^3 - 
    26930268*z2^4 + 97776000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    1243200*ln2^5*z3 + 14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 - 
    18312000*ln2^3*z2*z3 - 24696000*ln2^2*sinf*z2*z3 - 66364200*ln2*z2^2*z3 - 
    22793400*sinf*z2^2*z3 - 61393500*ln2^2*z3^2 - 47502000*ln2*sinf*z3^2 - 
    216263250*z2*z3^2 - 120099000*ln2^3*z5 - 255339000*ln2^2*sinf*z5 - 
    370912500*ln2*z2*z5 - 96610500*sinf*z2*z5 + 352272375*z3*z5 - 
    22546125*ln2*z7 + 107690625*sinf*z7)/28224000, 
 H[1, -1, -1, 0, 0, -1, -1, 1, 1] -> 
  (-806400*li4half^2 - 1612800*li6half*ln2^2 + 134400*li5half*ln2^3 + 
    134400*li4half*ln2^4 + 3640*ln2^8 - 806400*ln2^2*s6 + 
    6451200*li7half*sinf + 403200*li5half*ln2^2*sinf + 
    268800*li4half*ln2^3*sinf + 6560*ln2^7*sinf - 1036800*ln2*s6*sinf + 
    1641600*s7a*sinf - 2390400*s7b*sinf + 1612800*li6half*z2 - 
    403200*li5half*ln2*z2 - 604800*li4half*ln2^2*z2 - 25200*ln2^6*z2 + 
    806400*s6*z2 - 6720*ln2^5*sinf*z2 + 564480*li4half*z2^2 + 
    220080*ln2^4*z2^2 + 287280*ln2^3*sinf*z2^2 + 9120*ln2^2*z2^3 + 
    266640*ln2*sinf*z2^3 - 294384*z2^4 + 201600*li5half*z3 - 1680*ln2^5*z3 - 
    201600*li4half*sinf*z3 - 8400*ln2^4*sinf*z3 + 63000*ln2^2*sinf*z2*z3 + 
    73080*ln2*z2^2*z3 + 774180*sinf*z2^2*z3 + 288225*ln2^2*z3^2 + 
    1840950*ln2*sinf*z3^2 - 294525*z2*z3^2 - 154350*ln2^3*z5 + 
    3430350*ln2^2*sinf*z5 + 475650*ln2*z2*z5 + 7147800*sinf*z2*z5 - 
    240975*z3*z5 - 17775900*sinf*z7)/403200, 
 H[1, -1, -1, 0, 0, -1, -1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 2016000*ln2^2*s6 + 
    4153275*s8a + 17136000*s8b + 4032000*s8c + 1008000*ln2*s6*sinf - 
    1008000*s7a*sinf + 1008000*s7b*sinf - 8064000*li6half*z2 + 
    4032000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 39200*ln2^6*z2 - 
    7560000*s6*z2 + 2016000*li5half*sinf*z2 + 2016000*li4half*ln2*sinf*z2 + 
    67200*ln2^5*sinf*z2 - 2318400*li4half*z2^2 - 348600*ln2^4*z2^2 - 
    336000*ln2^3*sinf*z2^2 + 2836800*ln2^2*z2^3 + 583200*ln2*sinf*z2^3 + 
    1939644*z2^4 - 6048000*li5half*z3 + 50400*ln2^5*z3 - 
    504000*li4half*sinf*z3 - 21000*ln2^4*sinf*z3 - 504000*ln2^3*z2*z3 + 
    126000*ln2^2*sinf*z2*z3 - 4460400*ln2*z2^2*z3 - 132300*sinf*z2^2*z3 - 
    567000*ln2^2*z3^2 - 1260000*ln2*sinf*z3^2 - 1638000*z2*z3^2 - 
    336000*ln2^3*z5 - 2457000*ln2^2*sinf*z5 - 15057000*ln2*z2*z5 - 
    4992750*sinf*z2*z5 + 7843500*z3*z5 + 4496625*sinf*z7)/2016000, 
 H[1, -1, -1, 0, 0, -1, -1, -1, 1] -> 
  (1693440000*li8half + 1128960000*li7half*ln2 + 225792000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 299600*ln2^8 - 
    388080000*ln2^2*s6 + 217728000*ln2*s7a - 417312000*ln2*s7b + 
    877002525*s8a + 4682664000*s8b + 651168000*s8c + 364896000*s8d + 
    225792000*li7half*sinf - 56448000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 358400*ln2^7*sinf + 40320000*ln2*s6*sinf - 
    40320000*s7a*sinf - 54432000*s7b*sinf + 56448000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1489600*ln2^6*z2 - 1237824000*s6*z2 + 
    940800*ln2^5*sinf*z2 + 72979200*li4half*z2^2 + 688800*ln2^4*z2^2 + 
    119280000*ln2^2*z2^3 + 36708000*ln2*sinf*z2^3 - 107239296*z2^4 - 
    743904000*li5half*z3 - 14112000*li4half*ln2*z3 + 5611200*ln2^5*z3 - 
    67872000*ln2^3*z2*z3 - 14112000*ln2^2*sinf*z2*z3 - 
    512001000*ln2*z2^2*z3 + 11592000*sinf*z2^2*z3 + 164493000*ln2^2*z3^2 + 
    27657000*ln2*sinf*z3^2 - 713727000*z2*z3^2 + 582120000*ln2^3*z5 - 
    1764000*ln2^2*sinf*z5 - 692370000*ln2*z2*z5 + 160335000*sinf*z2*z5 + 
    975342375*z3*z5 - 3168514125*ln2*z7 - 539870625*sinf*z7)/56448000, 
 H[1, -1, -1, 0, -1, 1, 1, 1, 1] -> 
  (-112896000*li4half^2 - 1411200000*li8half - 65856000*li6half*ln2^2 + 
    12544000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 63000*ln2^8 + 
    55104000*ln2^2*s6 - 326601450*s8a - 2461200000*s8b - 185472000*s8c - 
    294336000*s8d - 37632000*li7half*sinf - 131712000*li6half*ln2*sinf + 
    18816000*li5half*ln2^2*sinf + 12544000*li4half*ln2^3*sinf + 
    190400*ln2^7*sinf - 92736000*ln2*s6*sinf + 17472000*s7a*sinf + 
    40992000*s7b*sinf + 65856000*li6half*z2 - 4704000*li4half*ln2^2*z2 - 
    1215200*ln2^6*z2 + 866208000*s6*z2 + 18816000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 2665600*ln2^5*sinf*z2 - 
    56515200*li4half*z2^2 + 16774800*ln2^4*z2^2 + 18972800*ln2^3*sinf*z2^2 + 
    25452000*ln2^2*z2^3 + 27535200*ln2*sinf*z2^3 + 107063568*z2^4 + 
    532224000*li5half*z3 - 4435200*ln2^5*z3 + 47040000*li4half*sinf*z3 + 
    1960000*ln2^4*sinf*z3 + 25928000*ln2^3*z2*z3 - 
    32340000*ln2^2*sinf*z2*z3 + 207589200*ln2*z2^2*z3 - 
    51651600*sinf*z2^2*z3 + 44310000*ln2^2*z3^2 + 58296000*ln2*sinf*z3^2 + 
    218484000*z2*z3^2 + 8918000*ln2^3*z5 - 9408000*ln2^2*sinf*z5 + 
    483798000*ln2*z2*z5 - 180390000*sinf*z2*z5 - 135990750*z3*z5 + 
    415093875*sinf*z7)/18816000, H[1, -1, -1, 0, -1, 1, 1, 0, 1] -> 
  (16128000*li4half^2 + 645120000*li8half + 5376000*li5half*ln2^3 + 
    1344000*li4half*ln2^4 - 800*ln2^8 - 80136000*ln2^2*s6 + 200028150*s8a + 
    1298304000*s8b + 153216000*s8c + 104832000*s8d - 193536000*li7half*sinf + 
    8064000*li5half*ln2^2*sinf - 28800*ln2^7*sinf + 31536000*ln2*s6*sinf - 
    38592000*s7a*sinf + 52128000*s7b*sinf - 12096000*li6half*z2 + 
    16128000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 193200*ln2^6*z2 - 
    344232000*s6*z2 + 8064000*li5half*sinf*z2 + 2016000*li4half*ln2*sinf*z2 - 
    117600*ln2^5*sinf*z2 + 22680000*li4half*z2^2 - 2188200*ln2^4*z2^2 - 
    4821600*ln2^3*sinf*z2^2 + 4821600*ln2^2*z2^3 - 13612800*ln2*sinf*z2^3 - 
    29115516*z2^4 - 233856000*li5half*z3 - 1512000*li4half*ln2*z3 + 
    1885800*ln2^5*z3 - 11088000*li4half*sinf*z3 - 462000*ln2^4*sinf*z3 - 
    19026000*ln2^3*z2*z3 + 2898000*ln2^2*sinf*z2*z3 - 156328200*ln2*z2^2*z3 - 
    4969800*sinf*z2^2*z3 - 25215750*ln2^2*z3^2 - 55579500*ln2*sinf*z3^2 - 
    150270750*z2*z3^2 - 1176000*ln2^3*z5 - 89649000*ln2^2*sinf*z5 - 
    465916500*ln2*z2*z5 - 158638500*sinf*z2*z5 + 95153625*z3*z5 + 
    409543875*sinf*z7)/4032000, H[1, -1, -1, 0, -1, 1, 1, -1, 1] -> 
  (1693440000*li8half + 225792000*li7half*ln2 + 84672000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 28224000*li4half*ln2^4 - 434000*ln2^8 + 
    5040000*ln2^2*s6 - 8064000*ln2*s7a - 318528000*ln2*s7b + 133514325*s8a + 
    2236248000*s8b + 175392000*s8c + 120960000*s8d + 338688000*li7half*sinf + 
    169344000*li6half*ln2*sinf - 112896000*li5half*ln2^2*sinf - 
    28224000*li4half*ln2^3*sinf - 67200*ln2^7*sinf - 127008000*ln2*s6*sinf + 
    296352000*s7a*sinf - 127008000*s7b*sinf - 84672000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 169344000*li4half*ln2^2*z2 + 
    4782400*ln2^6*z2 - 474768000*s6*z2 + 84672000*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 + 83462400*li4half*z2^2 - 2049600*ln2^4*z2^2 - 
    26812800*ln2^3*sinf*z2^2 - 166017600*ln2^2*z2^3 - 
    45108000*ln2*sinf*z2^3 + 25177752*z2^4 - 270144000*li5half*z3 - 
    486864000*li4half*ln2*z3 - 18034800*ln2^5*z3 - 42336000*li4half*sinf*z3 - 
    1764000*ln2^4*sinf*z3 + 136248000*ln2^3*z2*z3 + 
    47628000*ln2^2*sinf*z2*z3 + 296919000*ln2*z2^2*z3 + 
    82026000*sinf*z2^2*z3 - 200781000*ln2^2*z3^2 + 38367000*ln2*sinf*z3^2 - 
    20412000*z2*z3^2 + 419832000*ln2^3*z5 + 588735000*ln2^2*sinf*z5 + 
    240597000*ln2*z2*z5 + 386316000*sinf*z2*z5 - 1032719625*z3*z5 - 
    2785450500*ln2*z7 - 851846625*sinf*z7)/56448000, 
 H[1, -1, -1, 0, -1, 1, 0, 1, 1] -> 
  (-3386880000*li8half + 338688000*li6half*ln2^2 - 28224000*li4half*ln2^4 - 
    789600*ln2^8 + 680400000*ln2^2*s6 - 1174097925*s8a - 6932016000*s8b - 
    1036224000*s8c - 276192000*s8d + 1806336000*li7half*sinf + 
    677376000*li6half*ln2*sinf - 37632000*li4half*ln2^3*sinf - 
    985600*ln2^7*sinf + 30240000*ln2*s6*sinf + 294336000*s7a*sinf - 
    425376000*s7b*sinf - 931392000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 6468000*ln2^6*z2 + 806400000*s6*z2 - 
    225792000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 + 
    3528000*ln2^5*sinf*z2 - 103219200*li4half*z2^2 - 28408800*ln2^4*z2^2 - 
    17052000*ln2^3*sinf*z2^2 + 6199200*ln2^2*z2^3 + 32054400*ln2*sinf*z2^3 + 
    170687232*z2^4 + 1286208000*li5half*z3 + 21168000*li4half*ln2*z3 - 
    9836400*ln2^5*z3 + 45864000*li4half*sinf*z3 + 1911000*ln2^4*sinf*z3 + 
    125412000*ln2^3*z2*z3 + 23814000*ln2^2*sinf*z2*z3 + 
    1058211000*ln2*z2^2*z3 + 97158600*sinf*z2^2*z3 + 94563000*ln2^2*z3^2 + 
    265608000*ln2*sinf*z3^2 + 1202071500*z2*z3^2 - 37779000*ln2^3*z5 + 
    640552500*ln2^2*sinf*z5 + 3445596000*ln2*z2*z5 + 1629022500*sinf*z2*z5 - 
    855532125*z3*z5 - 4016210625*sinf*z7)/28224000, 
 H[1, -1, -1, 0, -1, 1, 0, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    1008000*ln2^2*s6 + 7128975*s8a + 32256000*s8b + 4704000*s8c + 
    672000*s8d + 4416000*ln2*s6*sinf + 2304000*s7a*sinf - 7104000*s7b*sinf + 
    32256000*li6half*z2 - 3360000*li4half*ln2^2*z2 - 95200*ln2^6*z2 + 
    9408000*s6*z2 - 2688000*li4half*ln2*sinf*z2 - 112000*ln2^5*sinf*z2 + 
    1713600*li4half*z2^2 - 516600*ln2^4*z2^2 - 840000*ln2^3*sinf*z2^2 - 
    1979600*ln2^2*z2^3 - 1585600*ln2*sinf*z2^3 - 4410424*z2^4 - 
    1344000*li5half*z3 + 3024000*li4half*ln2*z3 + 137200*ln2^5*z3 - 
    336000*li4half*sinf*z3 - 14000*ln2^4*sinf*z3 - 1036000*ln2^3*z2*z3 - 
    168000*ln2^2*sinf*z2*z3 - 7526400*ln2*z2^2*z3 + 417000*sinf*z2^2*z3 - 
    199500*ln2^2*z3^2 + 3804000*ln2*sinf*z3^2 - 12862500*z2*z3^2 - 
    1946000*ln2^3*z5 + 6195000*ln2^2*sinf*z5 - 19288500*ln2*z2*z5 + 
    18463500*sinf*z2*z5 + 16721250*z3*z5 - 25372500*sinf*z7)/1344000, 
 H[1, -1, -1, 0, -1, 1, 0, -1, 1] -> 
  (225792000*li4half^2 + 4515840000*li8half - 1806336000*li7half*ln2 - 
    677376000*li6half*ln2^2 + 18816000*li4half*ln2^4 - 78400*ln2^8 - 
    371952000*ln2^2*s6 - 316512000*ln2*s7a + 657216000*ln2*s7b + 
    1792795725*s8a + 10125864000*s8b + 953568000*s8c + 1219680000*s8d - 
    5419008000*li7half*sinf - 1354752000*li6half*ln2*sinf - 
    806400*ln2^7*sinf + 933408000*ln2*s6*sinf - 1356768000*s7a*sinf + 
    1056384000*s7b*sinf + 84672000*li6half*z2 - 84672000*li4half*ln2^2*z2 + 
    39200*ln2^6*z2 - 3554208000*s6*z2 - 28224000*li4half*ln2*sinf*z2 + 
    4468800*ln2^5*sinf*z2 + 49190400*li4half*z2^2 - 56632800*ln2^4*z2^2 - 
    88905600*ln2^3*sinf*z2^2 + 79430400*ln2^2*z2^3 - 
    314193600*ln2*sinf*z2^3 - 612210744*z2^4 - 2439360000*li5half*z3 + 
    402192000*li4half*ln2*z3 + 37086000*ln2^5*z3 + 14112000*li4half*sinf*z3 + 
    588000*ln2^4*sinf*z3 - 309708000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 - 1811842200*ln2*z2^2*z3 - 
    344988000*sinf*z2^2*z3 - 198103500*ln2^2*z3^2 - 
    1032696000*ln2*sinf*z3^2 - 1337868000*z2*z3^2 - 1050021000*ln2^3*z5 - 
    2497824000*ln2^2*sinf*z5 - 4661622000*ln2*z2*z5 - 3101805000*sinf*z2*z5 + 
    3389092875*z3*z5 + 6342115500*ln2*z7 + 9851861250*sinf*z7)/56448000, 
 H[1, -1, -1, 0, -1, 1, -1, 1, 1] -> 
  (16821504000*li8half + 197568000*li6half*ln2^2 - 28224000*li4half*ln2^4 - 
    484400*ln2^8 - 2343600000*ln2^2*s6 + 6870038175*s8a + 40752936000*s8b + 
    4828320000*s8c + 3681216000*s8d - 508032000*li7half*sinf + 
    733824000*li6half*ln2*sinf - 28224000*li4half*ln2^3*sinf - 
    56000*ln2^7*sinf + 467712000*ln2*s6*sinf - 199584000*s7a*sinf + 
    308448000*s7b*sinf - 197568000*li6half*z2 + 84672000*li4half*ln2^2*z2 + 
    13328000*ln2^6*z2 - 11687760000*s6*z2 + 17875200*ln2^5*sinf*z2 + 
    710841600*li4half*z2^2 - 188294400*ln2^4*z2^2 - 
    116424000*ln2^3*sinf*z2^2 + 401587200*ln2^2*z2^3 - 
    51156000*ln2*sinf*z2^3 - 1088944272*z2^4 - 7362432000*li5half*z3 - 
    42336000*li4half*ln2*z3 + 54650400*ln2^5*z3 + 21168000*li4half*sinf*z3 - 
    5292000*ln2^4*sinf*z3 - 539448000*ln2^3*z2*z3 + 
    42336000*ln2^2*sinf*z2*z3 - 5328804600*ln2*z2^2*z3 - 
    98204400*sinf*z2^2*z3 - 805770000*ln2^2*z3^2 - 393246000*ln2*sinf*z3^2 - 
    5091093000*z2*z3^2 - 117894000*ln2^3*z5 - 668997000*ln2^2*sinf*z5 - 
    14103054000*ln2*z2*z5 - 716877000*sinf*z2*z5 + 6450577875*z3*z5 + 
    1637519625*sinf*z7)/56448000, H[1, -1, -1, 0, -1, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 860160000*li8half - 7168000*li5half*ln2^3 - 
    672000*li4half*ln2^4 + 24400*ln2^8 + 130032000*ln2^2*s6 - 345773925*s8a - 
    2068584000*s8b - 246624000*s8c - 186144000*s8d + 258048000*li7half*sinf - 
    10752000*li5half*ln2^2*sinf + 38400*ln2^7*sinf - 45024000*ln2*s6*sinf + 
    58464000*s7a*sinf - 82656000*s7b*sinf - 16128000*li6half*z2 - 
    21504000*li5half*ln2*z2 - 6048000*li4half*ln2^2*z2 - 95200*ln2^6*z2 + 
    580944000*s6*z2 - 10752000*li5half*sinf*z2 - 4032000*li4half*ln2*sinf*
     z2 + 100800*ln2^5*sinf*z2 - 32390400*li4half*z2^2 + 5852000*ln2^4*z2^2 + 
    8780800*ln2^3*sinf*z2^2 - 21728000*ln2^2*z2^3 + 13176800*ln2*sinf*z2^3 + 
    57423752*z2^4 + 404544000*li5half*z3 + 8064000*li4half*ln2*z3 - 
    3035200*ln2^5*z3 + 1008000*li4half*sinf*z3 + 42000*ln2^4*sinf*z3 + 
    28308000*ln2^3*z2*z3 - 2688000*ln2^2*sinf*z2*z3 + 275961000*ln2*z2^2*z3 + 
    22478400*sinf*z2^2*z3 + 35857500*ln2^2*z3^2 + 75432000*ln2*sinf*z3^2 + 
    260589000*z2*z3^2 + 4256000*ln2^3*z5 + 143094000*ln2^2*sinf*z5 + 
    734937000*ln2*z2*z5 + 247695000*sinf*z2*z5 - 345079875*z3*z5 - 
    627834375*sinf*z7)/2688000, H[1, -1, -1, 0, -1, 1, -1, -1, 1] -> 
  (7257600*li4half^2 - 391910400*li8half - 2419200*li6half*ln2^2 - 
    1075200*li5half*ln2^3 + 806400*li4half*ln2^4 + 16880*ln2^8 + 
    65404800*ln2^2*s6 - 3110400*ln2*s7a + 5356800*ln2*s7b - 168909300*s8a - 
    1043884800*s8b - 123379200*s8c - 94348800*s8d + 14515200*li7half*sinf - 
    14515200*li6half*ln2*sinf - 1612800*li5half*ln2^2*sinf - 
    9600*ln2^7*sinf - 345600*ln2*s6*sinf - 2073600*s7a*sinf - 
    14169600*s7b*sinf + 7257600*li6half*z2 + 1612800*li5half*ln2*z2 - 
    4838400*li4half*ln2^2*z2 - 425600*ln2^6*z2 + 298771200*s6*z2 - 
    376320*ln2^5*sinf*z2 - 24675840*li4half*z2^2 + 4152960*ln2^4*z2^2 + 
    2217600*ln2^3*sinf*z2^2 - 10867680*ln2^2*z2^3 + 653760*ln2*sinf*z2^3 + 
    20738088*z2^4 + 188294400*li5half*z3 + 13910400*li4half*ln2*z3 - 
    848400*ln2^5*z3 + 176400*ln2^4*sinf*z3 + 9945600*ln2^3*z2*z3 - 
    2116800*ln2^2*sinf*z2*z3 + 129258000*ln2*z2^2*z3 + 3438720*sinf*z2^2*z3 + 
    21570300*ln2^2*z3^2 + 10486800*ln2*sinf*z3^2 + 126667800*z2*z3^2 - 
    7177800*ln2^3*z5 + 13255200*ln2^2*sinf*z5 + 352600200*ln2*z2*z5 + 
    42001200*sinf*z2*z5 - 148113000*z3*z5 + 55156275*ln2*z7 - 
    90111150*sinf*z7)/1612800, H[1, -1, -1, 0, -1, 0, 1, 1, 1] -> 
  (211680000*li4half^2 + 451584000*li8half - 112896000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 + 17640000*li4half*ln2^4 + 535500*ln2^8 - 
    93240000*ln2^2*s6 + 145701675*s8a + 625968000*s8b + 151200000*s8c - 
    59472000*s8d - 338688000*li7half*sinf - 225792000*li6half*ln2*sinf - 
    56448000*li5half*ln2^2*sinf + 224000*ln2^7*sinf + 68544000*ln2*s6*sinf - 
    103824000*s7a*sinf - 40320000*s7b*sinf + 112896000*li6half*z2 + 
    169344000*li5half*ln2*z2 - 49392000*li4half*ln2^2*z2 - 4410000*ln2^6*z2 + 
    90720000*s6*z2 + 112896000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*
     z2 + 93240000*li4half*z2^2 + 14763000*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 - 13230000*ln2^2*z2^3 - 15825600*ln2*sinf*z2^3 - 
    24099552*z2^4 - 374976000*li5half*z3 - 10584000*li4half*ln2*z3 + 
    5976600*ln2^5*z3 - 197568000*li4half*sinf*z3 - 4116000*ln2^4*sinf*z3 - 
    30366000*ln2^3*z2*z3 + 59094000*ln2^2*sinf*z2*z3 - 75272400*ln2*z2^2*z3 + 
    112492800*sinf*z2^2*z3 - 25562250*ln2^2*z3^2 - 138379500*ln2*sinf*z3^2 - 
    113069250*z2*z3^2 - 7497000*ln2^3*z5 - 72765000*ln2^2*sinf*z5 - 
    476532000*ln2*z2*z5 + 82278000*sinf*z2*z5 - 40438125*z3*z5 - 
    178305750*sinf*z7)/28224000, H[1, -1, -1, 0, -1, 0, 1, 0, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    92736000*ln2^2*s6 - 128129400*s8a - 92736000*s8b - 185472000*s8c + 
    185472000*s8d - 149184000*ln2*s6*sinf + 149184000*s7a*sinf + 
    149184000*s7b*sinf - 225792000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 5801600*ln2^6*z2 - 406224000*s6*z2 - 
    56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 49089600*li4half*z2^2 - 
    21474600*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 - 10810800*ln2^2*z2^3 + 
    21218400*ln2*sinf*z2^3 - 44388684*z2^4 + 38304000*li5half*z3 - 
    127008000*li4half*ln2*z3 - 5611200*ln2^5*z3 + 268128000*li4half*sinf*z3 + 
    11172000*ln2^4*sinf*z3 + 83160000*ln2^3*z2*z3 - 
    31752000*ln2^2*sinf*z2*z3 + 83550600*ln2*z2^2*z3 - 
    170868600*sinf*z2^2*z3 + 5355000*ln2^2*z3^2 + 145026000*ln2*sinf*z3^2 + 
    123889500*z2*z3^2 - 18816000*ln2^3*z5 - 28224000*ln2^2*sinf*z5 + 
    643513500*ln2*z2*z5 - 418603500*sinf*z2*z5 + 136749375*z3*z5 + 
    1065881250*sinf*z7)/28224000, H[1, -1, -1, 0, -1, 0, 1, -1, 1] -> 
  (-423360000*li4half^2 + 225792000*li8half + 903168000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 75264000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 46200*ln2^8 - 302400000*ln2^2*s6 + 
    249984000*ln2*s7a + 108864000*ln2*s7b - 321509475*s8a - 2258424000*s8b - 
    50400000*s8c - 443520000*s8d + 1580544000*li7half*sinf + 
    451584000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 940800*ln2^7*sinf - 459648000*ln2*s6*sinf + 
    304416000*s7a*sinf + 36288000*s7b*sinf - 225792000*li6half*z2 - 
    451584000*li5half*ln2*z2 - 211680000*li4half*ln2^2*z2 - 
    7252000*ln2^6*z2 + 1211616000*s6*z2 - 366912000*li4half*ln2*sinf*z2 - 
    18110400*ln2^5*sinf*z2 + 93340800*li4half*z2^2 + 82328400*ln2^4*z2^2 + 
    139708800*ln2^3*sinf*z2^2 + 27216000*ln2^2*z2^3 + 
    303609600*ln2*sinf*z2^3 + 102056904*z2^4 + 1141056000*li5half*z3 + 
    472752000*li4half*ln2*z3 + 3603600*ln2^5*z3 + 225792000*li4half*sinf*z3 + 
    1176000*ln2^4*sinf*z3 - 107184000*ln2^3*z2*z3 - 
    268128000*ln2^2*sinf*z2*z3 + 72084600*ln2*z2^2*z3 - 
    116625600*sinf*z2^2*z3 + 327285000*ln2^2*z3^2 + 395955000*ln2*sinf*z3^2 + 
    155988000*z2*z3^2 + 60564000*ln2^3*z5 + 145530000*ln2^2*sinf*z5 + 
    42651000*ln2*z2*z5 - 98217000*sinf*z2*z5 - 1239989625*z3*z5 + 
    561676500*ln2*z7 - 1058746500*sinf*z7)/56448000, 
 H[1, -1, -1, 0, -1, 0, 0, 1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 - 
    37800000*ln2^2*s6 + 61908525*s8a + 492912000*s8b + 26208000*s8c + 
    93744000*s8d + 31248000*ln2*s6*sinf - 80640000*s7a*sinf + 
    4032000*s7b*sinf + 112896000*li6half*z2 - 21168000*li4half*ln2^2*z2 - 
    725200*ln2^6*z2 - 155736000*s6*z2 - 56448000*li5half*sinf*z2 + 
    470400*ln2^5*sinf*z2 + 14515200*li4half*z2^2 + 898800*ln2^4*z2^2 - 
    4704000*ln2^3*sinf*z2^2 + 1369200*ln2^2*z2^3 - 12230400*ln2*sinf*z2^3 - 
    39622356*z2^4 - 131040000*li5half*z3 + 31752000*li4half*ln2*z3 + 
    2415000*ln2^5*z3 - 42336000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 - 
    14742000*ln2^3*z2*z3 + 16758000*ln2^2*sinf*z2*z3 - 41340600*ln2*z2^2*z3 + 
    21331800*sinf*z2^2*z3 + 18033750*ln2^2*z3^2 - 57361500*ln2*sinf*z3^2 - 
    128142000*z2*z3^2 + 33516000*ln2^3*z5 - 31752000*ln2^2*sinf*z5 - 
    176746500*ln2*z2*z5 - 46242000*sinf*z2*z5 + 339774750*z3*z5 + 
    79758000*sinf*z7)/14112000, H[1, -1, -1, 0, -1, 0, 0, 0, 1] -> 
  (2688000*ln2^2*s6 - 19869675*s8a - 139104000*s8b - 5376000*s8c - 
    32256000*s8d - 13440000*ln2*s6*sinf + 13440000*s7a*sinf - 
    5376000*s7b*sinf + 66864000*s6*z2 + 4132800*li4half*z2^2 + 
    172200*ln2^4*z2^2 - 11438000*ln2^2*z2^3 - 5320000*ln2*sinf*z2^3 + 
    8108892*z2^4 + 45696000*li5half*z3 - 380800*ln2^5*z3 + 
    3808000*ln2^3*z2*z3 + 25027800*ln2*z2^2*z3 + 6279000*sinf*z2^2*z3 - 
    1596000*ln2^2*z3^2 + 12096000*ln2*sinf*z3^2 + 25861500*z2*z3^2 + 
    6272000*ln2^3*z5 + 27636000*ln2^2*sinf*z5 + 45528000*ln2*z2*z5 + 
    29316000*sinf*z2*z5 - 122878875*z3*z5 - 54581625*sinf*z7)/4704000, 
 H[1, -1, -1, 0, -1, 0, 0, -1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    109872000*ln2^2*s6 - 28224000*ln2*s7a - 98784000*ln2*s7b - 
    121449825*s8a - 243936000*s8b - 64512000*s8c - 104832000*s8d - 
    34272000*ln2*s6*sinf + 133056000*s7a*sinf - 106848000*s7b*sinf + 
    112896000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 1920800*ln2^6*z2 + 
    311976000*s6*z2 - 56448000*li5half*sinf*z2 + 470400*ln2^5*sinf*z2 + 
    82756800*li4half*z2^2 - 4195800*ln2^4*z2^2 - 4704000*ln2^3*sinf*z2^2 - 
    114021600*ln2^2*z2^3 - 68174400*ln2*sinf*z2^3 + 56696148*z2^4 + 
    195552000*li5half*z3 - 211680000*li4half*ln2*z3 - 10449600*ln2^5*z3 - 
    63504000*li4half*sinf*z3 - 2646000*ln2^4*sinf*z3 + 78624000*ln2^3*z2*z3 + 
    29988000*ln2^2*sinf*z2*z3 + 258967800*ln2*z2^2*z3 + 
    68909400*sinf*z2^2*z3 - 100516500*ln2^2*z3^2 + 17703000*ln2*sinf*z3^2 + 
    100311750*z2*z3^2 + 110691000*ln2^3*z5 + 295911000*ln2^2*sinf*z5 + 
    422415000*ln2*z2*z5 + 337459500*sinf*z2*z5 - 719003250*z3*z5 - 
    1164129750*ln2*z7 - 427533750*sinf*z7)/28224000, 
 H[1, -1, -1, 0, -1, 0, -1, 1, 1] -> 
  (592704000*li4half^2 - 1128960000*li8half + 451584000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 + 21168000*li4half*ln2^4 - 175000*ln2^8 + 
    406224000*ln2^2*s6 - 113434650*s8a + 1386000000*s8b - 572544000*s8c + 
    1010016000*s8d + 451584000*li7half*sinf + 677376000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf - 
    1657600*ln2^7*sinf + 542304000*ln2*s6*sinf - 274176000*s7a*sinf - 
    344736000*s7b*sinf - 451584000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 5605600*ln2^6*z2 - 2358720000*s6*z2 - 
    338688000*li5half*sinf*z2 + 254016000*li4half*ln2*sinf*z2 + 
    19992000*ln2^5*sinf*z2 - 76003200*li4half*z2^2 - 75726000*ln2^4*z2^2 - 
    139708800*ln2^3*sinf*z2^2 + 67989600*ln2^2*z2^3 - 
    274125600*ln2*sinf*z2^3 - 254380464*z2^4 - 1257984000*li5half*z3 + 
    169344000*li4half*ln2*z3 + 17539200*ln2^5*z3 - 
    246960000*li4half*sinf*z3 - 10290000*ln2^4*sinf*z3 - 
    30156000*ln2^3*z2*z3 + 298116000*ln2^2*sinf*z2*z3 + 
    28677600*ln2*z2^2*z3 + 229118400*sinf*z2^2*z3 + 227146500*ln2^2*z3^2 - 
    285390000*ln2*sinf*z3^2 + 109021500*z2*z3^2 + 106134000*ln2^3*z5 + 
    227556000*ln2^2*sinf*z5 + 1506834000*ln2*z2*z5 + 1055880000*sinf*z2*z5 + 
    2348813250*z3*z5 - 2144874375*sinf*z7)/56448000, 
 H[1, -1, -1, 0, -1, 0, -1, 0, 1] -> 
  (-169344000*li4half^2 - 14112000*li4half*ln2^4 - 294000*ln2^8 + 
    48384000*ln2^2*s6 - 193414725*s8a - 926856000*s8b - 96768000*s8c - 
    129024000*s8d - 225792000*ln2*s6*sinf + 225792000*s7a*sinf + 
    112896000*s7b*sinf + 395136000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2665600*ln2^6*z2 + 385056000*s6*z2 + 
    56448000*li5half*sinf*z2 - 470400*ln2^5*sinf*z2 + 54633600*li4half*z2^2 - 
    2427600*ln2^4*z2^2 + 4704000*ln2^3*sinf*z2^2 - 73533600*ln2^2*z2^3 + 
    19908000*ln2*sinf*z2^3 - 30528396*z2^4 + 243936000*li5half*z3 - 
    169344000*li4half*ln2*z3 - 9088800*ln2^5*z3 + 127008000*li4half*sinf*z3 + 
    5292000*ln2^4*sinf*z3 + 72072000*ln2^3*z2*z3 - 
    17640000*ln2^2*sinf*z2*z3 + 167202000*ln2*z2^2*z3 - 
    85995000*sinf*z2^2*z3 - 67536000*ln2^2*z3^2 + 119952000*ln2*sinf*z3^2 + 
    244014750*z2*z3^2 + 18816000*ln2^3*z5 + 137592000*ln2^2*sinf*z5 + 
    531310500*ln2*z2*z5 - 238360500*sinf*z2*z5 - 860485500*z3*z5 + 
    569275875*sinf*z7)/28224000, H[1, -1, -1, 0, -1, 0, -1, -1, 1] -> 
  (-254016000*li4half^2 - 903168000*li7half*ln2 - 451584000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 21168000*li4half*ln2^4 - 261800*ln2^8 - 
    67536000*ln2^2*s6 + 153216000*ln2*s7a + 167328000*ln2*s7b - 
    243627300*s8a + 732816000*s8b - 185472000*s8c + 185472000*s8d - 
    1354752000*li7half*sinf - 677376000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf + 268800*ln2^7*sinf - 
    284256000*ln2*s6*sinf + 241920000*s7a*sinf + 326592000*s7b*sinf + 
    338688000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 4194400*ln2^6*z2 - 349776000*s6*z2 - 
    940800*ln2^5*sinf*z2 + 253008000*li4half*z2^2 - 2982000*ln2^4*z2^2 - 
    135223200*ln2^2*z2^3 - 81547200*ln2*sinf*z2^3 + 25307712*z2^4 - 
    427392000*li5half*z3 - 465696000*li4half*ln2*z3 - 15842400*ln2^5*z3 - 
    21168000*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 109032000*ln2^3*z2*z3 + 
    47628000*ln2^2*sinf*z2*z3 + 104151600*ln2*z2^2*z3 - 
    61084800*sinf*z2^2*z3 - 125716500*ln2^2*z3^2 - 148302000*ln2*sinf*z3^2 + 
    354753000*z2*z3^2 + 7791000*ln2^3*z5 - 49833000*ln2^2*sinf*z5 + 
    32256000*ln2*z2*z5 - 962010000*sinf*z2*z5 - 1066353750*z3*z5 + 
    934124625*ln2*z7 + 3239223750*sinf*z7)/56448000, 
 H[1, -1, -1, 0, -1, -1, 1, 1, 1] -> 
  (254016000*li4half^2 - 4515840000*li8half - 112896000*li6half*ln2^2 - 
    47040000*li5half*ln2^3 + 7056000*li4half*ln2^4 - 23800*ln2^8 + 
    382536000*ln2^2*s6 - 1196450325*s8a - 8408736000*s8b - 800352000*s8c - 
    836640000*s8d + 169344000*li7half*sinf - 225792000*li6half*ln2*sinf - 
    28224000*li5half*ln2^2*sinf - 14112000*li4half*ln2^3*sinf - 
    700000*ln2^7*sinf - 5040000*ln2*s6*sinf - 30240000*s7a*sinf - 
    72576000*s7b*sinf + 112896000*li6half*z2 + 197568000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 1979600*ln2^6*z2 + 2509416000*s6*z2 + 
    84672000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    2352000*ln2^5*sinf*z2 - 160977600*li4half*z2^2 + 29454600*ln2^4*z2^2 + 
    8114400*ln2^3*sinf*z2^2 + 45057600*ln2^2*z2^3 + 33012000*ln2*sinf*z2^3 + 
    283999248*z2^4 + 1242864000*li5half*z3 + 10584000*li4half*ln2*z3 - 
    9916200*ln2^5*z3 - 158760000*li4half*sinf*z3 - 6615000*ln2^4*sinf*z3 + 
    97398000*ln2^3*z2*z3 + 37044000*ln2^2*sinf*z2*z3 + 
    892269000*ln2*z2^2*z3 + 79871400*sinf*z2^2*z3 + 122251500*ln2^2*z3^2 - 
    18396000*ln2*sinf*z3^2 + 911610000*z2*z3^2 - 20212500*ln2^3*z5 + 
    441000*ln2^2*sinf*z5 + 2400615000*ln2*z2*z5 + 194008500*sinf*z2*z5 - 
    696142125*z3*z5 - 679384125*sinf*z7)/28224000, 
 H[1, -1, -1, 0, -1, -1, 1, 0, 1] -> 
  (-310464000*li4half^2 + 4515840000*li8half + 37632000*li5half*ln2^3 - 
    25872000*li4half*ln2^4 - 740600*ln2^8 - 396648000*ln2^2*s6 + 
    1196450325*s8a + 8408736000*s8b + 800352000*s8c + 836640000*s8d - 
    1354752000*li7half*sinf + 56448000*li5half*ln2^2*sinf - 
    201600*ln2^7*sinf + 119952000*ln2*s6*sinf - 112896000*s7a*sinf + 
    352800000*s7b*sinf - 225792000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 + 1587600*ln2^6*z2 - 2389464000*s6*z2 - 
    28224000*li5half*sinf*z2 - 70560000*li4half*ln2*sinf*z2 - 
    3645600*ln2^5*sinf*z2 + 285163200*li4half*z2^2 - 17106600*ln2^4*z2^2 - 
    24931200*ln2^3*sinf*z2^2 - 73365600*ln2^2*z2^3 - 99657600*ln2*sinf*z2^3 - 
    314114928*z2^4 - 1398096000*li5half*z3 - 137592000*li4half*ln2*z3 + 
    5917800*ln2^5*z3 + 165816000*li4half*sinf*z3 + 6909000*ln2^4*sinf*z3 - 
    74466000*ln2^3*z2*z3 - 29988000*ln2^2*sinf*z2*z3 - 
    899854200*ln2*z2^2*z3 - 160171200*sinf*z2^2*z3 - 146837250*ln2^2*z3^2 - 
    209695500*ln2*sinf*z3^2 - 924509250*z2*z3^2 - 14553000*ln2^3*z5 - 
    472972500*ln2^2*sinf*z5 - 2343505500*ln2*z2*z5 - 1045831500*sinf*z2*z5 + 
    725578875*z3*z5 + 3157174125*sinf*z7)/28224000, 
 H[1, -1, -1, 0, -1, -1, 1, -1, 1] -> 
  (-254016000*li4half^2 + 12700800000*li8half + 677376000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 131712000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 + 1170400*ln2^8 - 1620864000*ln2^2*s6 + 
    290304000*ln2*s7a + 36288000*ln2*s7b + 3914468775*s8a + 25684344000*s8b + 
    2703456000*s8c + 2376864000*s8d + 338688000*li7half*sinf + 
    677376000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    56448000*li4half*ln2^3*sinf + 2284800*ln2^7*sinf - 
    163296000*ln2*s6*sinf + 205632000*s7a*sinf + 78624000*s7b*sinf - 
    338688000*li6half*z2 - 282240000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 3724000*ln2^6*z2 - 7315056000*s6*z2 - 
    169344000*li4half*ln2*sinf*z2 - 3292800*ln2^5*sinf*z2 + 
    602380800*li4half*z2^2 - 53575200*ln2^4*z2^2 - 705600*ln2^3*sinf*z2^2 + 
    101203200*ln2^2*z2^3 + 7308000*ln2*sinf*z2^3 - 783426096*z2^4 - 
    4640832000*li5half*z3 + 211680000*li4half*ln2*z3 + 47493600*ln2^5*z3 + 
    84672000*li4half*sinf*z3 + 3528000*ln2^4*sinf*z3 - 
    409668000*ln2^3*z2*z3 + 15876000*ln2^2*sinf*z2*z3 - 
    3284429400*ln2*z2^2*z3 - 43243200*sinf*z2^2*z3 - 131733000*ln2^2*z3^2 + 
    28161000*ln2*sinf*z3^2 - 2878281000*z2*z3^2 + 240933000*ln2^3*z5 + 
    135828000*ln2^2*sinf*z5 - 8180802000*ln2*z2*z5 - 226989000*sinf*z2*z5 + 
    2848096125*z3*z5 + 83112750*ln2*z7 + 222854625*sinf*z7)/56448000, 
 H[1, -1, -1, 0, -1, -1, 0, 1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 - 
    13944000*ln2^2*s6 - 4692450*s8a + 190344000*s8b - 7392000*s8c + 
    56784000*s8d - 17136000*ln2*s6*sinf - 18144000*s7a*sinf + 
    24192000*s7b*sinf - 56448000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 + 
    176400*ln2^6*z2 - 85344000*s6*z2 - 56448000*li5half*sinf*z2 - 
    28224000*li4half*ln2*sinf*z2 - 705600*ln2^5*sinf*z2 + 
    29702400*li4half*z2^2 + 943600*ln2^4*z2^2 + 2352000*ln2^3*sinf*z2^2 - 
    5023200*ln2^2*z2^3 - 3074400*ln2*sinf*z2^3 - 6614352*z2^4 + 
    34608000*li5half*z3 + 17640000*li4half*ln2*z3 + 446600*ln2^5*z3 + 
    17640000*li4half*sinf*z3 + 735000*ln2^4*sinf*z3 - 2506000*ln2^3*z2*z3 - 
    5880000*ln2^2*sinf*z2*z3 + 9941400*ln2*z2^2*z3 - 14011200*sinf*z2^2*z3 + 
    11880750*ln2^2*z3^2 - 997500*ln2*sinf*z3^2 - 32051250*z2*z3^2 + 
    20188000*ln2^3*z5 - 10731000*ln2^2*sinf*z5 - 28612500*ln2*z2*z5 - 
    50116500*sinf*z2*z5 + 16406250*z3*z5 + 171336375*sinf*z7)/9408000, 
 H[1, -1, -1, 0, -1, -1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    12768000*ln2^2*s6 + 30006900*s8a + 42168000*s8b + 25536000*s8c - 
    16128000*s8d + 8736000*ln2*s6*sinf - 8736000*s7a*sinf - 
    4032000*s7b*sinf - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    9912000*s6*z2 - 16632000*li4half*z2^2 + 1071000*ln2^4*z2^2 + 
    3841600*ln2^2*z2^3 - 1691200*ln2*sinf*z2^3 + 5057504*z2^4 - 
    17136000*li5half*z3 + 14112000*li4half*ln2*z3 + 730800*ln2^5*z3 - 
    10584000*li4half*sinf*z3 - 441000*ln2^4*sinf*z3 - 5740000*ln2^3*z2*z3 + 
    1470000*ln2^2*sinf*z2*z3 - 26279400*ln2*z2^2*z3 + 4775400*sinf*z2^2*z3 - 
    357000*ln2^2*z3^2 - 4452000*ln2*sinf*z3^2 - 15660750*z2*z3^2 - 
    784000*ln2^3*z5 - 5733000*ln2^2*sinf*z5 - 43680000*ln2*z2*z5 + 
    22281000*sinf*z2*z5 + 31712625*z3*z5 - 45341625*sinf*z7)/4704000, 
 H[1, -1, -1, 0, -1, -1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    99120000*ln2^2*s6 - 48384000*ln2*s7a - 34272000*ln2*s7b - 36789900*s8a - 
    354144000*s8b - 30912000*s8c - 81984000*s8d + 82656000*ln2*s6*sinf - 
    12096000*s7a*sinf - 82656000*s7b*sinf - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 220416000*s6*z2 - 
    56448000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    705600*ln2^5*sinf*z2 + 537600*li4half*z2^2 + 610400*ln2^4*z2^2 + 
    2352000*ln2^3*sinf*z2^2 - 43562400*ln2^2*z2^3 - 25754400*ln2*sinf*z2^3 + 
    13376136*z2^4 + 262752000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    1601600*ln2^5*z3 + 14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 
    9352000*ln2^3*z2*z3 - 17052000*ln2^2*sinf*z2*z3 + 115844400*ln2*z2^2*z3 + 
    14414400*sinf*z2^2*z3 - 30481500*ln2^2*z3^2 + 36183000*ln2*sinf*z3^2 + 
    5764500*z2*z3^2 - 41895000*ln2^3*z5 + 26019000*ln2^2*sinf*z5 + 
    248976000*ln2*z2*z5 + 301455000*sinf*z2*z5 - 233163000*z3*z5 - 
    406342125*ln2*z7 - 440976375*sinf*z7)/18816000, 
 H[1, -1, -1, 0, -1, -1, -1, 1, 1] -> 
  (12096000*li4half^2 - 572544000*li8half + 64512000*li6half*ln2^2 + 
    29568000*li5half*ln2^3 + 4032000*li4half*ln2^4 - 24000*ln2^8 + 
    44352000*ln2^2*s6 - 94466925*s8a - 493416000*s8b - 70560000*s8c + 
    6048000*s8d - 8064000*li7half*sinf + 48384000*li6half*ln2*sinf + 
    32256000*li5half*ln2^2*sinf + 2688000*li4half*ln2^3*sinf - 
    88000*ln2^7*sinf + 38880000*ln2*s6*sinf - 20736000*s7a*sinf + 
    7488000*s7b*sinf - 64512000*li6half*z2 - 72576000*li5half*ln2*z2 - 
    10080000*li4half*ln2^2*z2 + 184800*ln2^6*z2 + 11088000*s6*z2 - 
    40320000*li5half*sinf*z2 + 302400*ln2^5*sinf*z2 - 6451200*li4half*z2^2 - 
    1293600*ln2^4*z2^2 - 4670400*ln2^3*sinf*z2^2 + 9489600*ln2^2*z2^3 - 
    18504000*ln2*sinf*z2^3 + 33757632*z2^4 + 120960000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 109200*ln2^5*z3 - 2016000*li4half*sinf*z3 + 
    210000*ln2^4*sinf*z3 + 2772000*ln2^3*z2*z3 - 1260000*ln2^2*sinf*z2*z3 + 
    74579400*ln2*z2^2*z3 - 2102400*sinf*z2^2*z3 + 15120000*ln2^2*z3^2 - 
    19494000*ln2*sinf*z3^2 + 55692000*z2*z3^2 - 2037000*ln2^3*z5 - 
    27468000*ln2^2*sinf*z5 + 211806000*ln2*z2*z5 - 22878000*sinf*z2*z5 + 
    58834125*z3*z5 + 100289250*sinf*z7)/8064000, 
 H[1, -1, -1, 0, -1, -1, -1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 1680000*ln2^2*s6 - 
    2117325*s8a - 55272000*s8b - 3360000*s8c - 10080000*s8d - 
    5568000*ln2*s6*sinf + 5568000*s7a*sinf - 1152000*s7b*sinf + 
    40320000*li6half*z2 + 32256000*li5half*ln2*z2 + 
    8064000*li4half*ln2^2*z2 + 123200*ln2^6*z2 + 26880000*s6*z2 + 
    8064000*li5half*sinf*z2 + 4032000*li4half*ln2*sinf*z2 + 
    100800*ln2^5*sinf*z2 - 4435200*li4half*z2^2 - 604800*ln2^4*z2^2 - 
    336000*ln2^3*sinf*z2^2 - 1631200*ln2^2*z2^3 - 22400*ln2*sinf*z2^3 - 
    6732752*z2^4 - 8064000*li5half*z3 - 8064000*li4half*ln2*z3 - 
    268800*ln2^5*z3 - 1008000*li4half*sinf*z3 - 42000*ln2^4*sinf*z3 + 
    2772000*ln2^3*z2*z3 + 1512000*ln2^2*sinf*z2*z3 + 2205000*ln2*z2^2*z3 + 
    969600*sinf*z2^2*z3 - 2047500*ln2^2*z3^2 + 1920000*ln2*sinf*z3^2 + 
    8862000*z2*z3^2 + 2688000*ln2^3*z5 + 10542000*ln2^2*sinf*z5 + 
    20223000*ln2*z2*z5 + 8970000*sinf*z2*z5 - 11074875*z3*z5 - 
    24699000*sinf*z7)/2688000, H[1, -1, -1, 0, -1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 225792000*li8half - 903168000*li7half*ln2 - 
    564480000*li6half*ln2^2 - 169344000*li5half*ln2^3 - 
    35280000*li4half*ln2^4 - 522200*ln2^8 + 28224000*ln2^2*s6 - 
    40320000*ln2*s7a - 54432000*ln2*s7b + 36521100*s8a + 477792000*s8b + 
    24192000*s8c - 24192000*s8d - 846720000*li7half*sinf - 
    564480000*li6half*ln2*sinf - 169344000*li5half*ln2^2*sinf - 
    28224000*li4half*ln2^3*sinf - 380800*ln2^7*sinf + 282240000*li6half*z2 + 
    169344000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 3606400*ln2^6*z2 + 
    48384000*s6*z2 + 1176000*ln2^5*sinf*z2 + 62899200*li4half*z2^2 - 
    5023200*ln2^4*z2^2 - 85528800*ln2^2*z2^3 - 64512000*ln2*sinf*z2^3 + 
    48109536*z2^4 + 6048000*li5half*z3 - 169344000*li4half*ln2*z3 - 
    8752800*ln2^5*z3 - 2058000*ln2^4*sinf*z3 + 46956000*ln2^3*z2*z3 + 
    69501600*ln2*z2^2*z3 - 67693500*ln2^2*z3^2 - 15498000*z2*z3^2 + 
    46158000*ln2^3*z5 + 28224000*ln2^2*sinf*z5 + 59535000*ln2*z2*z5 - 
    365620500*z3*z5 - 370526625*ln2*z7 + 846720000*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 1, 1, 1, 1, 1] -> 
  (11289600*li8half + 11289600*li6half*ln2^2 + 3763200*li5half*ln2^3 - 
    13440*ln2^8 - 13104000*ln2^2*s6 + 35470575*s8a + 160574400*s8b + 
    31852800*s8c - 3628800*s8d + 22579200*li7half*sinf + 
    22579200*li6half*ln2*sinf + 5644800*li5half*ln2^2*sinf - 
    17920*ln2^7*sinf + 5644800*s7a*sinf - 11289600*li6half*z2 - 
    5644800*li5half*ln2*z2 + 94080*ln2^6*z2 - 9676800*s6*z2 + 
    94080*ln2^5*sinf*z2 - 725760*li4half*z2^2 - 1206240*ln2^4*z2^2 - 
    752640*ln2^3*sinf*z2^2 + 453600*ln2^2*z2^3 - 1854720*ln2*sinf*z2^3 + 
    5774184*z2^4 + 8668800*li5half*z3 + 21840*ln2^5*z3 - 
    3040800*ln2^3*z2*z3 - 2822400*ln2^2*sinf*z2*z3 - 37212840*ln2*z2^2*z3 - 
    4798080*sinf*z2^2*z3 - 5184900*ln2^2*z3^2 + 5644800*ln2*sinf*z3^2 - 
    26756100*z2*z3^2 + 3763200*ln2^3*z5 + 11113200*ln2^2*sinf*z5 - 
    112492800*ln2*z2*z5 - 11113200*sinf*z2*z5 + 31173975*z3*z5 + 
    17066700*sinf*z7)/11289600, H[1, -1, -1, -1, 1, 1, 1, 0, 1] -> 
  (-16934400*li4half^2 - 304819200*li8half + 33868800*li6half*ln2^2 + 
    3763200*li5half*ln2^3 - 2822400*li4half*ln2^4 - 80080*ln2^8 + 
    54835200*ln2^2*s6 - 148053150*s8a - 790070400*s8b - 92736000*s8c - 
    59673600*s8d + 169344000*li7half*sinf + 67737600*li6half*ln2*sinf + 
    5644800*li5half*ln2^2*sinf - 1881600*li4half*ln2^3*sinf - 
    64960*ln2^7*sinf - 18950400*ln2*s6*sinf + 35884800*s7a*sinf - 
    31852800*s7b*sinf - 33868800*li6half*z2 - 22579200*li5half*ln2*z2 + 
    376320*ln2^6*z2 + 187084800*s6*z2 - 5644800*li5half*sinf*z2 - 
    5644800*li4half*ln2*sinf*z2 + 94080*ln2^5*sinf*z2 + 483840*li4half*z2^2 + 
    325920*ln2^4*z2^2 + 1693440*ln2^3*sinf*z2^2 - 10402560*ln2^2*z2^3 + 
    8739360*ln2*sinf*z2^3 + 28397808*z2^4 + 139104000*li5half*z3 - 
    11289600*li4half*ln2*z3 - 2005920*ln2^5*z3 + 1411200*li4half*sinf*z3 - 
    411600*ln2^4*sinf*z3 + 16296000*ln2^3*z2*z3 - 352800*ln2^2*sinf*z2*z3 + 
    126297360*ln2*z2^2*z3 + 15120000*sinf*z2^2*z3 - 3187800*ln2^2*z3^2 + 
    23688000*ln2*sinf*z3^2 + 119385000*z2*z3^2 + 3528000*ln2^3*z5 + 
    70912800*ln2^2*sinf*z5 + 306255600*ln2*z2*z5 + 106797600*sinf*z2*z5 - 
    203915250*z3*z5 - 338267475*sinf*z7)/11289600, 
 H[1, -1, -1, -1, 1, 1, 1, -1, 1] -> 
  (-161280*li4half^2 - 483840*li6half*ln2^2 - 215040*li5half*ln2^3 - 
    53760*li4half*ln2^4 - 896*ln2^8 - 483840*ln2^2*s6 - 483840*s8a - 
    967680*li7half*sinf - 967680*li6half*ln2*sinf - 
    322560*li5half*ln2^2*sinf - 53760*li4half*ln2^3*sinf - 768*ln2^7*sinf - 
    910080*ln2*s6*sinf - 57600*s7a*sinf + 910080*s7b*sinf + 
    483840*li6half*z2 + 322560*li5half*ln2*z2 + 161280*li4half*ln2^2*z2 + 
    7168*ln2^6*z2 + 483840*s6*z2 + 2688*ln2^5*sinf*z2 + 129024*li4half*z2^2 + 
    18816*ln2^4*z2^2 + 21504*ln2^3*sinf*z2^2 + 98496*ln2^2*z2^3 + 
    212256*ln2*sinf*z2^3 + 274176*z2^4 - 80640*li5half*z3 - 
    322560*li4half*ln2*z3 - 24864*ln2^5*z3 - 11760*ln2^4*sinf*z3 + 
    204960*ln2^3*z2*z3 + 80640*ln2^2*sinf*z2*z3 + 693504*ln2*z2^2*z3 - 
    190080*sinf*z2^2*z3 - 313740*ln2^2*z3^2 - 417240*ln2*sinf*z3^2 + 
    313740*z2*z3^2 + 413280*ln2^3*z5 - 317520*ln2^2*sinf*z5 - 
    619920*ln2*z2*z5 - 2703600*sinf*z2*z5 - 2264220*z3*z5 - 2197440*ln2*z7 + 
    5554665*sinf*z7)/322560, H[1, -1, -1, -1, 1, 1, 0, 1, 1] -> 
  (84672000*li4half^2 + 1636992000*li8half - 310464000*li6half*ln2^2 - 
    94080000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 540400*ln2^8 - 
    276192000*ln2^2*s6 + 651563325*s8a + 3497256000*s8b + 312480000*s8c + 
    435456000*s8d - 1016064000*li7half*sinf - 620928000*li6half*ln2*sinf - 
    141120000*li5half*ln2^2*sinf + 515200*ln2^7*sinf + 16128000*ln2*s6*sinf - 
    256032000*s7a*sinf + 209664000*s7b*sinf + 479808000*li6half*z2 + 
    169344000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 4625600*ln2^6*z2 - 
    955584000*s6*z2 - 28224000*li5half*sinf*z2 - 2352000*ln2^5*sinf*z2 - 
    1814400*li4half*z2^2 + 8332800*ln2^4*z2^2 - 1646400*ln2^3*sinf*z2^2 + 
    71316000*ln2^2*z2^3 - 8568000*ln2*sinf*z2^3 - 267683328*z2^4 - 
    885024000*li5half*z3 + 169344000*li4half*ln2*z3 + 19840800*ln2^5*z3 + 
    21168000*li4half*sinf*z3 + 7644000*ln2^4*sinf*z3 - 
    103740000*ln2^3*z2*z3 + 19404000*ln2^2*sinf*z2*z3 - 
    565475400*ln2*z2^2*z3 - 78447600*sinf*z2^2*z3 + 122314500*ln2^2*z3^2 - 
    149814000*ln2*sinf*z3^2 - 543280500*z2*z3^2 + 11466000*ln2^3*z5 - 
    433944000*ln2^2*sinf*z5 - 940968000*ln2*z2*z5 - 505638000*sinf*z2*z5 + 
    1181620125*z3*z5 + 1778143500*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 1, 1, 0, 0, 1] -> 
  (-24192000*li4half^2 - 24192000*li6half*ln2^2 - 10752000*li5half*ln2^3 - 
    4032000*li4half*ln2^4 - 70000*ln2^8 + 10080000*ln2^2*s6 - 30882600*s8a - 
    92736000*s8b - 32256000*s8c - 4032000*s8d - 48384000*li7half*sinf - 
    48384000*li6half*ln2*sinf - 16128000*li5half*ln2^2*sinf - 
    2688000*li4half*ln2^3*sinf - 35200*ln2^7*sinf - 14112000*ln2*s6*sinf + 
    2016000*s7a*sinf + 2016000*s7b*sinf - 48384000*li6half*z2 - 
    44352000*li5half*ln2*z2 + 414400*ln2^6*z2 - 4032000*s6*z2 - 
    20160000*li5half*sinf*z2 - 8064000*li4half*ln2*sinf*z2 - 
    33600*ln2^5*sinf*z2 + 16934400*li4half*z2^2 + 604800*ln2^4*z2^2 + 
    1344000*ln2^3*sinf*z2^2 - 15638400*ln2^2*z2^3 - 7682400*ln2*sinf*z2^3 + 
    176544*z2^4 + 61488000*li5half*z3 - 16128000*li4half*ln2*z3 - 
    1453200*ln2^5*z3 + 2016000*li4half*sinf*z3 - 252000*ln2^4*sinf*z3 + 
    9408000*ln2^3*z2*z3 - 756000*ln2^2*sinf*z2*z3 + 35431200*ln2*z2^2*z3 - 
    4989600*sinf*z2^2*z3 + 3024000*ln2^2*z3^2 + 7560000*ln2*sinf*z3^2 + 
    40383000*z2*z3^2 + 12852000*ln2^3*z5 + 19278000*ln2^2*sinf*z5 + 
    123984000*ln2*z2*z5 + 9576000*sinf*z2*z5 - 92358000*z3*z5 + 
    80884125*sinf*z7)/8064000, H[1, -1, -1, -1, 1, 1, 0, -1, 1] -> 
  (112896000*li8half + 33868800*li7half*ln2 - 28224000*li6half*ln2^2 - 
    11289600*li5half*ln2^3 + 50960*ln2^8 + 70761600*ln2^2*s6 + 
    15724800*ln2*s7a + 21369600*ln2*s7b - 140329350*s8a - 574761600*s8b - 
    153216000*s8c - 7660800*s8d - 33868800*li7half*sinf - 
    56448000*li6half*ln2*sinf - 16934400*li5half*ln2^2*sinf + 
    69440*ln2^7*sinf + 4435200*ln2*s6*sinf + 15321600*s7a*sinf - 
    58060800*s7b*sinf + 45158400*li6half*z2 + 16934400*li5half*ln2*z2 - 
    329280*ln2^6*z2 + 102816000*s6*z2 - 5644800*li5half*sinf*z2 - 
    282240*ln2^5*sinf*z2 - 1532160*li4half*z2^2 + 1958880*ln2^4*z2^2 + 
    1787520*ln2^3*sinf*z2^2 - 38092320*ln2^2*z2^3 - 18224640*ln2*sinf*z2^3 - 
    49656456*z2^4 + 18144000*li5half*z3 + 84000*ln2^5*z3 + 
    294000*ln2^4*sinf*z3 + 3511200*ln2^3*z2*z3 + 2469600*ln2^2*sinf*z2*z3 + 
    80125920*ln2*z2^2*z3 + 14716800*sinf*z2^2*z3 + 52756200*ln2^2*z3^2 + 
    35204400*ln2*sinf*z3^2 + 127833300*z2*z3^2 + 1352400*ln2^3*z5 + 
    81320400*ln2^2*sinf*z5 + 386467200*ln2*z2*z5 + 183960000*sinf*z2*z5 - 
    107588250*z3*z5 + 219206925*ln2*z7 - 266030100*sinf*z7)/11289600, 
 H[1, -1, -1, -1, 1, 1, -1, 1, 1] -> 
  (16934400*li4half^2 - 90316800*li8half + 16934400*li6half*ln2^2 + 
    11289600*li5half*ln2^3 + 5644800*li4half*ln2^4 + 131040*ln2^8 + 
    39312000*ln2^2*s6 - 32676525*s8a - 309556800*s8b - 44755200*s8c - 
    17337600*s8d + 45158400*li7half*sinf + 33868800*li6half*ln2*sinf + 
    16934400*li5half*ln2^2*sinf + 5644800*li4half*ln2^3*sinf + 
    129920*ln2^7*sinf + 29433600*ln2*s6*sinf + 4435200*s7a*sinf - 
    26611200*s7b*sinf - 16934400*li6half*z2 - 16934400*li5half*ln2*z2 - 
    16934400*li4half*ln2^2*z2 - 987840*ln2^6*z2 + 48787200*s6*z2 - 
    517440*ln2^5*sinf*z2 - 17015040*li4half*z2^2 + 2348640*ln2^4*z2^2 + 
    752640*ln2^3*sinf*z2^2 - 668640*ln2^2*z2^3 - 1001280*ln2*sinf*z2^3 - 
    8534976*z2^4 + 38908800*li5half*z3 + 33868800*li4half*ln2*z3 + 
    1651440*ln2^5*z3 + 823200*ln2^4*sinf*z3 - 3108000*ln2^3*z2*z3 + 
    2822400*ln2^2*sinf*z2*z3 + 28342440*ln2*z2^2*z3 + 6592320*sinf*z2^2*z3 + 
    13085100*ln2^2*z3^2 + 5014800*ln2*sinf*z3^2 + 37403100*z2*z3^2 - 
    31105200*ln2^3*z5 - 16581600*ln2^2*sinf*z5 + 195035400*ln2*z2*z5 + 
    93252600*sinf*z2*z5 + 31170825*z3*z5 - 204075900*sinf*z7)/11289600, 
 H[1, -1, -1, -1, 1, 1, -1, 0, 1] -> 
  (-56448000*li4half^2 + 1693440000*li8half - 254016000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 18816000*li4half*ln2^4 - 369600*ln2^8 - 
    471744000*ln2^2*s6 + 777408975*s8a + 4814712000*s8b + 647136000*s8c + 
    326592000*s8d - 1016064000*li7half*sinf - 508032000*li6half*ln2*sinf - 
    112896000*li5half*ln2^2*sinf - 18816000*li4half*ln2^3*sinf - 
    347200*ln2^7*sinf - 88704000*ln2*s6*sinf - 207648000*s7a*sinf + 
    342720000*s7b*sinf + 197568000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 2744000*ln2^6*z2 - 977760000*s6*z2 + 
    1411200*ln2^5*sinf*z2 + 110476800*li4half*z2^2 - 2805600*ln2^4*z2^2 - 
    3763200*ln2^3*sinf*z2^2 + 61538400*ln2^2*z2^3 - 11592000*ln2*sinf*z2^3 - 
    37149984*z2^4 - 681408000*li5half*z3 - 112896000*li4half*ln2*z3 - 
    2083200*ln2^5*z3 - 3822000*ln2^4*sinf*z3 - 46200000*ln2^3*z2*z3 - 
    12348000*ln2^2*sinf*z2*z3 - 631927800*ln2*z2^2*z3 - 
    101707200*sinf*z2^2*z3 - 89019000*ln2^2*z3^2 - 163863000*ln2*sinf*z3^2 - 
    711144000*z2*z3^2 + 119070000*ln2^3*z5 - 354564000*ln2^2*sinf*z5 - 
    2327724000*ln2*z2*z5 - 1093176000*sinf*z2*z5 + 483595875*z3*z5 + 
    2792900250*sinf*z7)/56448000, H[1, -1, -1, -1, 1, 1, -1, -1, 1] -> 
  (56448000*li8half + 3360*ln2^8 - 3628800*ln2^2*s6 + 22806000*s8a + 
    116524800*s8b + 7257600*s8c + 20966400*s8d - 11289600*li7half*sinf + 
    4480*ln2^7*sinf + 8064000*ln2*s6*sinf - 8064000*s7a*sinf - 
    10886400*s7b*sinf - 47040*ln2^6*z2 - 56044800*s6*z2 - 
    47040*ln2^5*sinf*z2 + 4193280*li4half*z2^2 - 766080*ln2^4*z2^2 - 
    752640*ln2^3*sinf*z2^2 - 1962240*ln2^2*z2^3 - 5560800*ln2*sinf*z2^3 - 
    14996472*z2^4 - 41932800*li5half*z3 + 772800*ln2^5*z3 + 
    411600*ln2^4*sinf*z3 - 8080800*ln2^3*z2*z3 - 2822400*ln2^2*sinf*z2*z3 - 
    24398640*ln2*z2^2*z3 + 2318400*sinf*z2^2*z3 + 14546700*ln2^2*z3^2 + 
    5531400*ln2*sinf*z3^2 - 18805500*z2*z3^2 + 9231600*ln2^3*z5 + 
    16581600*ln2^2*sinf*z5 - 35620200*ln2*z2*z5 + 32067000*sinf*z2*z5 + 
    83648250*z3*z5 + 86083200*ln2*z7 - 51526125*sinf*z7)/11289600, 
 H[1, -1, -1, -1, 1, 0, 1, 1, 1] -> (-33868800*li4half^2 - 11289600*li8half + 
    16934400*li6half*ln2^2 + 7526400*li5half*ln2^3 - 1411200*li4half*ln2^4 - 
    39480*ln2^8 + 28627200*ln2^2*s6 - 35470575*s8a - 160574400*s8b - 
    31852800*s8c + 3628800*s8d + 33868800*li7half*sinf + 
    33868800*li6half*ln2*sinf + 11289600*li5half*ln2^2*sinf + 
    1881600*li4half*ln2^3*sinf + 24640*ln2^7*sinf + 10080000*ln2*s6*sinf + 
    15321600*s7a*sinf - 10080000*s7b*sinf - 16934400*li6half*z2 - 
    22579200*li5half*ln2*z2 + 8467200*li4half*ln2^2*z2 + 446880*ln2^6*z2 - 
    5846400*s6*z2 - 11289600*li5half*sinf*z2 - 5644800*li4half*ln2*sinf*z2 - 
    235200*ln2^5*sinf*z2 + 32054400*li4half*z2^2 + 136080*ln2^4*z2^2 + 
    235200*ln2^3*sinf*z2^2 - 15372000*ln2^2*z2^3 - 2449440*ln2*sinf*z2^3 - 
    6558912*z2^4 + 54835200*li5half*z3 - 33868800*li4half*ln2*z3 - 
    1915200*ln2^5*z3 - 5644800*li4half*sinf*z3 - 294000*ln2^4*sinf*z3 + 
    13154400*ln2^3*z2*z3 + 1411200*ln2^2*sinf*z2*z3 + 74468520*ln2*z2^2*z3 + 
    9742320*sinf*z2^2*z3 - 23832900*ln2^2*z3^2 - 6426000*ln2*sinf*z3^2 + 
    55773900*z2*z3^2 - 13465200*ln2^3*z5 + 4410000*ln2^2*sinf*z5 + 
    151300800*ln2*z2*z5 + 65948400*sinf*z2*z5 - 157035375*z3*z5 - 
    130257225*sinf*z7)/11289600, H[1, -1, -1, -1, 1, 0, 1, 0, 1] -> 
  (211680000*li4half^2 - 564480000*li8half + 56448000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 31752000*li4half*ln2^4 + 706300*ln2^8 + 
    83664000*ln2^2*s6 - 145213425*s8a - 1230264000*s8b - 68544000*s8c - 
    192528000*s8d + 225792000*li7half*sinf + 112896000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf + 18816000*li4half*ln2^3*sinf + 
    425600*ln2^7*sinf + 68544000*ln2*s6*sinf + 30240000*s7a*sinf - 
    96768000*s7b*sinf + 141120000*li6half*z2 + 197568000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 - 2332400*ln2^6*z2 + 579096000*s6*z2 + 
    84672000*li5half*sinf*z2 + 70560000*li4half*ln2*sinf*z2 + 
    823200*ln2^5*sinf*z2 - 193032000*li4half*z2^2 - 4338600*ln2^4*z2^2 - 
    4586400*ln2^3*sinf*z2^2 + 30508800*ln2^2*z2^3 + 3813600*ln2*sinf*z2^3 + 
    64733232*z2^4 + 11088000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    6493200*ln2^5*z3 + 14112000*li4half*sinf*z3 + 2940000*ln2^4*sinf*z3 + 
    1806000*ln2^3*z2*z3 + 16758000*ln2^2*sinf*z2*z3 - 37951200*ln2*z2^2*z3 + 
    6476400*sinf*z2^2*z3 + 50762250*ln2^2*z3^2 + 63598500*ln2*sinf*z3^2 + 
    16899750*z2*z3^2 - 75852000*ln2^3*z5 + 9261000*ln2^2*sinf*z5 - 
    3402000*ln2*z2*z5 + 180621000*sinf*z2*z5 + 274372875*z3*z5 - 
    626692500*sinf*z7)/28224000, H[1, -1, -1, -1, 1, 0, 1, -1, 1] -> 
  (84672000*li4half^2 - 4064256000*li8half - 564480000*li7half*ln2 + 
    592704000*li6half*ln2^2 + 263424000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 - 331800*ln2^8 + 350784000*ln2^2*s6 - 
    108864000*ln2*s7a - 10080000*ln2*s7b - 256765950*s8a - 4228560000*s8b - 
    4032000*s8c - 504000000*s8d + 1072512000*li7half*sinf + 
    1185408000*li6half*ln2*sinf + 395136000*li5half*ln2^2*sinf + 
    28224000*li4half*ln2^3*sinf - 683200*ln2^7*sinf + 481824000*ln2*s6*sinf - 
    2016000*s7a*sinf - 171360000*s7b*sinf - 592704000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 + 666400*ln2^6*z2 + 
    1022112000*s6*z2 - 56448000*li4half*ln2*sinf*z2 - 235200*ln2^5*sinf*z2 - 
    179827200*li4half*z2^2 - 7081200*ln2^4*z2^2 - 8702400*ln2^3*sinf*z2^2 + 
    154425600*ln2^2*z2^3 + 20109600*ln2*sinf*z2^3 + 363630168*z2^4 + 
    993888000*li5half*z3 + 211680000*li4half*ln2*z3 - 2520000*ln2^5*z3 + 
    42336000*li4half*sinf*z3 - 2058000*ln2^4*sinf*z3 - 41832000*ln2^3*z2*z3 - 
    84672000*ln2^2*sinf*z2*z3 + 229975200*ln2*z2^2*z3 + 
    15926400*sinf*z2^2*z3 - 103099500*ln2^2*z3^2 + 5859000*ln2*sinf*z3^2 + 
    97177500*z2*z3^2 - 402045000*ln2^3*z5 - 295470000*ln2^2*sinf*z5 + 
    172683000*ln2*z2*z5 + 508662000*sinf*z2*z5 + 863556750*z3*z5 + 
    765237375*ln2*z7 - 1937336625*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 1, 0, 0, 1, 1] -> 
  (254016000*li4half^2 + 1016064000*li8half + 37632000*li5half*ln2^3 + 
    35280000*li4half*ln2^4 + 740600*ln2^8 - 214704000*ln2^2*s6 + 
    379129275*s8a + 2913624000*s8b + 288288000*s8c + 247968000*s8d - 
    338688000*li7half*sinf + 56448000*li5half*ln2^2*sinf + 
    18816000*li4half*ln2^3*sinf + 380800*ln2^7*sinf + 46368000*ln2*s6*sinf - 
    187488000*s7a*sinf + 38304000*s7b*sinf - 169344000*li6half*z2 - 
    70560000*li4half*ln2^2*z2 - 4272800*ln2^6*z2 - 862848000*s6*z2 + 
    282240000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    3292800*ln2^5*sinf*z2 - 30844800*li4half*z2^2 - 462000*ln2^4*z2^2 - 
    24460800*ln2^3*sinf*z2^2 + 51172800*ln2^2*z2^3 - 15943200*ln2*sinf*z2^3 - 
    17314656*z2^4 - 1003968000*li5half*z3 + 9777600*ln2^5*z3 - 
    176400000*li4half*sinf*z3 - 5586000*ln2^4*sinf*z3 - 
    56616000*ln2^3*z2*z3 + 89964000*ln2^2*sinf*z2*z3 - 
    451218600*ln2*z2^2*z3 + 68367600*sinf*z2^2*z3 + 11277000*ln2^2*z3^2 - 
    173061000*ln2*sinf*z3^2 - 369684000*z2*z3^2 + 82320000*ln2^3*z5 - 
    95256000*ln2^2*sinf*z5 - 1207080000*ln2*z2*z5 - 613494000*sinf*z2*z5 + 
    1004479875*z3*z5 + 702520875*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 1, 0, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 
    6552000*ln2^2*s6 + 7720650*s8a + 23184000*s8b + 8064000*s8c + 
    1008000*s8d - 5040000*ln2*s6*sinf + 8064000*s7b*sinf + 
    6048000*li5half*ln2*z2 + 5040000*li4half*ln2^2*z2 + 159600*ln2^6*z2 - 
    7056000*s6*z2 + 2016000*li5half*sinf*z2 + 2016000*li4half*ln2*sinf*z2 + 
    67200*ln2^5*sinf*z2 - 604800*li4half*z2^2 - 504000*ln2^4*z2^2 - 
    218400*ln2^3*sinf*z2^2 + 2894400*ln2^2*z2^3 + 2260800*ln2*sinf*z2^3 + 
    1447704*z2^4 - 504000*li5half*z3 + 4200*ln2^5*z3 + 
    4032000*li4half*sinf*z3 + 168000*ln2^4*sinf*z3 + 588000*ln2^3*z2*z3 - 
    630000*ln2^2*sinf*z2*z3 - 4233600*ln2*z2^2*z3 - 3175200*sinf*z2^2*z3 - 
    1386000*ln2^2*z3^2 - 504000*ln2*sinf*z3^2 - 4835250*z2*z3^2 + 
    1911000*ln2^3*z5 - 4945500*ln2^2*sinf*z5 - 21388500*ln2*z2*z5 - 
    22050000*sinf*z2*z5 + 417375*z3*z5 + 34051500*sinf*z7)/2016000, 
 H[1, -1, -1, -1, 1, 0, 0, -1, 1] -> 
  (225792000*li4half^2 - 1128960000*li8half - 112896000*li7half*ln2 - 
    37632000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 112000*ln2^8 - 
    127008000*ln2^2*s6 + 86688000*ln2*s7a + 157248000*ln2*s7b - 
    215797050*s8a - 1025136000*s8b - 116928000*s8c - 80640000*s8d + 
    225792000*li7half*sinf - 56448000*li5half*ln2^2*sinf - 
    18816000*li4half*ln2^3*sinf - 358400*ln2^7*sinf - 185472000*ln2*s6*sinf - 
    12096000*s7a*sinf + 171360000*s7b*sinf - 84672000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 + 
    274176000*s6*z2 + 112896000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*
     z2 + 3528000*ln2^5*sinf*z2 - 162892800*li4half*z2^2 - 84000*ln2^4*z2^2 - 
    10584000*ln2^3*sinf*z2^2 + 116558400*ln2^2*z2^3 + 
    87511200*ln2*sinf*z2^3 + 188890512*z2^4 + 90720000*li5half*z3 + 
    232848000*li4half*ln2*z3 + 7534800*ln2^5*z3 - 84672000*li4half*sinf*z3 - 
    5292000*ln2^4*sinf*z3 - 31836000*ln2^3*z2*z3 + 
    44100000*ln2^2*sinf*z2*z3 + 4586400*ln2*z2^2*z3 - 3402000*sinf*z2^2*z3 + 
    56227500*ln2^2*z3^2 - 109935000*ln2*sinf*z3^2 + 193315500*z2*z3^2 + 
    31605000*ln2^3*z5 - 27783000*ln2^2*sinf*z5 - 263277000*ln2*z2*z5 - 
    646695000*sinf*z2*z5 - 305534250*z3*z5 + 341853750*ln2*z7 + 
    681809625*sinf*z7)/56448000, H[1, -1, -1, -1, 1, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 + 4515840000*li8half - 931392000*li6half*ln2^2 - 
    338688000*li5half*ln2^3 - 37632000*li4half*ln2^4 + 121800*ln2^8 - 
    537264000*ln2^2*s6 + 504820575*s8a + 5776344000*s8b + 227808000*s8c + 
    590688000*s8d - 2032128000*li7half*sinf - 1693440000*li6half*ln2*sinf - 
    508032000*li5half*ln2^2*sinf - 47040000*li4half*ln2^3*sinf + 
    324800*ln2^7*sinf - 530208000*ln2*s6*sinf - 344736000*s7a*sinf + 
    332640000*s7b*sinf + 931392000*li6half*z2 + 479808000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 509600*ln2^6*z2 - 1167264000*s6*z2 + 
    141120000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    2116800*ln2^5*sinf*z2 + 188697600*li4half*z2^2 + 11802000*ln2^4*z2^2 + 
    14817600*ln2^3*sinf*z2^2 - 159264000*ln2^2*z2^3 - 
    30592800*ln2*sinf*z2^3 - 429666408*z2^4 - 1583568000*li5half*z3 - 
    225792000*li4half*ln2*z3 + 730800*ln2^5*z3 - 84672000*li4half*sinf*z3 - 
    7350000*ln2^4*sinf*z3 + 11508000*ln2^3*z2*z3 + 
    95256000*ln2^2*sinf*z2*z3 - 551892600*ln2*z2^2*z3 - 
    49240800*sinf*z2^2*z3 + 142600500*ln2^2*z3^2 - 118251000*ln2*sinf*z3^2 - 
    525199500*z2*z3^2 + 495684000*ln2^3*z5 + 87318000*ln2^2*sinf*z5 - 
    1443267000*ln2*z2*z5 - 1340073000*sinf*z2*z5 + 162469125*z3*z5 + 
    3801900375*sinf*z7)/56448000, H[1, -1, -1, -1, 1, 0, -1, 0, 1] -> 
  (282240000*li4half^2 - 1128960000*li8half + 112896000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 + 51744000*li4half*ln2^4 + 1167600*ln2^8 - 
    139104000*ln2^2*s6 + 140034825*s8a - 915768000*s8b + 235872000*s8c - 
    207648000*s8d + 451584000*li7half*sinf + 225792000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 37632000*li4half*ln2^3*sinf + 
    851200*ln2^7*sinf - 30240000*ln2*s6*sinf - 12096000*s7a*sinf + 
    157248000*s7b*sinf - 310464000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 4429600*ln2^6*z2 + 168336000*s6*z2 + 
    56448000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    235200*ln2^5*sinf*z2 - 274377600*li4half*z2^2 + 1092000*ln2^4*z2^2 - 
    3528000*ln2^3*sinf*z2^2 + 185438400*ln2^2*z2^3 + 92568000*ln2*sinf*z2^3 + 
    171940152*z2^4 + 90720000*li5half*z3 + 225792000*li4half*ln2*z3 + 
    11474400*ln2^5*z3 + 63504000*li4half*sinf*z3 + 6174000*ln2^4*sinf*z3 - 
    41244000*ln2^3*z2*z3 - 7056000*ln2^2*sinf*z2*z3 - 214716600*ln2*z2^2*z3 - 
    76431600*sinf*z2^2*z3 + 2110500*ln2^2*z3^2 - 29232000*ln2*sinf*z3^2 - 
    17262000*z2*z3^2 - 76146000*ln2^3*z5 - 278271000*ln2^2*sinf*z5 - 
    152838000*ln2*z2*z5 - 320355000*sinf*z2*z5 + 439259625*z3*z5 + 
    55424250*sinf*z7)/56448000, H[1, -1, -1, -1, 1, 0, -1, -1, 1] -> 
  (5644800*li4half^2 - 56448000*li8half + 135475200*li7half*ln2 + 
    50803200*li6half*ln2^2 + 7526400*li5half*ln2^3 + 1881600*li4half*ln2^4 + 
    48160*ln2^8 - 16732800*ln2^2*s6 + 10483200*ln2*s7a + 13305600*ln2*s7b - 
    22806000*s8a - 116524800*s8b - 7257600*s8c - 20966400*s8d + 
    180633600*li7half*sinf + 67737600*li6half*ln2*sinf + 
    11289600*li5half*ln2^2*sinf + 1881600*li4half*ln2^3*sinf + 
    42560*ln2^7*sinf - 16531200*ln2*s6*sinf + 2419200*s7a*sinf + 
    16531200*s7b*sinf - 33868800*li6half*z2 - 11289600*li5half*ln2*z2 - 
    5644800*li4half*ln2^2*z2 - 368480*ln2^6*z2 + 63100800*s6*z2 - 
    188160*ln2^5*sinf*z2 - 7862400*li4half*z2^2 + 2788800*ln2^4*z2^2 + 
    2257920*ln2^3*sinf*z2^2 + 23506560*ln2^2*z2^3 + 28697760*ln2*sinf*z2^3 + 
    24807672*z2^4 + 47577600*li5half*z3 + 11289600*li4half*ln2*z3 + 
    26880*ln2^5*z3 - 1411200*li4half*sinf*z3 - 117600*ln2^4*sinf*z3 + 
    1260000*ln2^3*z2*z3 + 352800*ln2^2*sinf*z2*z3 + 16128000*ln2*z2^2*z3 - 
    3447360*sinf*z2^2*z3 - 3868200*ln2^2*z3^2 - 5884200*ln2*sinf*z3^2 + 
    16865100*z2*z3^2 - 16199400*ln2^3*z5 - 33868800*ln2^2*sinf*z5 + 
    2797200*ln2*z2*z5 - 49001400*sinf*z2*z5 - 90660150*z3*z5 - 
    203453775*ln2*z7 - 92438325*sinf*z7)/11289600, 
 H[1, -1, -1, -1, 1, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 - 1128960000*li8half - 56448000*li5half*ln2^3 - 
    28224000*li4half*ln2^4 - 596400*ln2^8 + 87696000*ln2^2*s6 - 
    277500825*s8a - 2412648000*s8b - 175392000*s8c - 219744000*s8d + 
    395136000*li7half*sinf - 84672000*li5half*ln2^2*sinf - 
    28224000*li4half*ln2^3*sinf - 560000*ln2^7*sinf - 100800000*ln2*s6*sinf + 
    100800000*s7a*sinf - 26208000*s7b*sinf + 84672000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 4233600*ln2^6*z2 + 637056000*s6*z2 + 
    1646400*ln2^5*sinf*z2 + 23788800*li4half*z2^2 - 3124800*ln2^4*z2^2 + 
    3763200*ln2^3*sinf*z2^2 + 25586400*ln2^2*z2^3 + 61000800*ln2*sinf*z2^3 + 
    61751328*z2^4 + 418320000*li5half*z3 - 169344000*li4half*ln2*z3 - 
    12658800*ln2^5*z3 - 2058000*ln2^4*sinf*z3 + 86016000*ln2^3*z2*z3 + 
    342203400*ln2*z2^2*z3 + 17236800*sinf*z2^2*z3 - 95508000*ln2^2*z3^2 + 
    47943000*ln2*sinf*z3^2 + 331317000*z2*z3^2 - 21462000*ln2^3*z5 + 
    133182000*ln2^2*sinf*z5 + 755937000*ln2*z2*z5 + 236187000*sinf*z2*z5 - 
    503944875*z3*z5 - 739312875*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 1, -1, 1, 0, 1] -> 
  (903168000*li8half - 127008000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 
    81200*ln2^8 - 11088000*ln2^2*s6 + 159552225*s8a + 1573992000*s8b + 
    22176000*s8c + 217728000*s8d - 536256000*li7half*sinf - 
    254016000*li6half*ln2*sinf - 42336000*li5half*ln2^2*sinf + 
    106400*ln2^7*sinf + 75600000*ln2*s6*sinf - 75600000*s7a*sinf + 
    2016000*s7b*sinf - 70560000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    117600*ln2^6*z2 - 618912000*s6*z2 - 42336000*li5half*sinf*z2 - 
    235200*ln2^5*sinf*z2 + 43545600*li4half*z2^2 - 4830000*ln2^4*z2^2 - 
    5409600*ln2^3*sinf*z2^2 - 36086400*ln2^2*z2^3 - 63352800*ln2*sinf*z2^3 - 
    93926544*z2^4 - 308448000*li5half*z3 + 3511200*ln2^5*z3 + 
    1176000*ln2^4*sinf*z3 - 9828000*ln2^3*z2*z3 + 12348000*ln2^2*sinf*z2*z3 - 
    136722600*ln2*z2^2*z3 - 8517600*sinf*z2^2*z3 + 41863500*ln2^2*z3^2 - 
    32760000*ln2*sinf*z3^2 - 102406500*z2*z3^2 - 4263000*ln2^3*z5 - 
    81585000*ln2^2*sinf*z5 - 87255000*ln2*z2*z5 - 3276000*sinf*z2*z5 + 
    204962625*z3*z5 + 568141875*sinf*z7)/28224000, 
 H[1, -1, -1, -1, 1, -1, 1, -1, 1] -> 
  (649152000*li8half - 42336000*li6half*ln2^2 - 37800*ln2^8 - 
    13608000*ln2^2*s6 + 154307475*s8a + 1008504000*s8b + 48384000*s8c + 
    128016000*s8d - 282240000*li7half*sinf - 84672000*li6half*ln2*sinf - 
    56000*ln2^7*sinf + 89712000*ln2*s6*sinf - 68544000*s7a*sinf - 
    26208000*s7b*sinf + 42336000*li6half*z2 + 470400*ln2^6*z2 - 
    354816000*s6*z2 + 588000*ln2^5*sinf*z2 + 25603200*li4half*z2^2 - 
    2167200*ln2^4*z2^2 - 1881600*ln2^3*sinf*z2^2 - 25418400*ln2^2*z2^3 - 
    37380000*ln2*sinf*z2^3 - 94302084*z2^4 - 256032000*li5half*z3 + 
    722400*ln2^5*z3 - 2058000*ln2^4*sinf*z3 - 19572000*ln2^3*z2*z3 - 
    133257600*ln2*z2^2*z3 + 3124800*sinf*z2^2*z3 + 33106500*ln2^2*z3^2 - 
    12915000*ln2*sinf*z3^2 - 115006500*z2*z3^2 - 2940000*ln2^3*z5 - 
    66591000*ln2^2*sinf*z5 - 161910000*ln2*z2*z5 + 75663000*sinf*z2*z5 + 
    298659375*z3*z5 + 202860000*ln2*z7 + 95059125*sinf*z7)/28224000, 
 H[1, -1, -1, -1, 1, -1, 0, 1, 1] -> 
  (366912000*li4half^2 - 2032128000*li8half + 508032000*li6half*ln2^2 + 
    225792000*li5half*ln2^3 + 79968000*li4half*ln2^4 + 1468600*ln2^8 + 
    470736000*ln2^2*s6 - 828083025*s8a - 4108104000*s8b - 546336000*s8c - 
    356832000*s8d + 1411200000*li7half*sinf + 1016064000*li6half*ln2*sinf + 
    338688000*li5half*ln2^2*sinf + 65856000*li4half*ln2^3*sinf + 
    1052800*ln2^7*sinf + 217728000*ln2*s6*sinf + 177408000*s7a*sinf - 
    443520000*s7b*sinf - 846720000*li6half*z2 - 366912000*li5half*ln2*z2 - 
    197568000*li4half*ln2^2*z2 - 9447200*ln2^6*z2 + 826560000*s6*z2 + 
    197568000*li5half*sinf*z2 + 169344000*li4half*ln2*sinf*z2 + 
    1411200*ln2^5*sinf*z2 - 263289600*li4half*z2^2 + 3553200*ln2^4*z2^2 - 
    26577600*ln2^3*sinf*z2^2 - 30240000*ln2^2*z2^3 - 32356800*ln2*sinf*z2^3 + 
    298138296*z2^4 + 438480000*li5half*z3 + 225792000*li4half*ln2*z3 + 
    11869200*ln2^5*z3 - 127008000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 - 
    11676000*ln2^3*z2*z3 + 81144000*ln2^2*sinf*z2*z3 + 
    420222600*ln2*z2^2*z3 + 177962400*sinf*z2^2*z3 + 119164500*ln2^2*z3^2 + 
    122976000*ln2*sinf*z3^2 + 585490500*z2*z3^2 - 111720000*ln2^3*z5 + 
    433944000*ln2^2*sinf*z5 + 1432179000*ln2*z2*z5 + 891387000*sinf*z2*z5 - 
    126039375*z3*z5 - 3233207250*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 1, -1, 0, 0, 1] -> 
  (112896000*li8half + 112896000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    154000*ln2^8 - 301392000*ln2^2*s6 + 488700450*s8a + 1402128000*s8b + 
    475776000*s8c - 10080000*s8d + 225792000*li7half*sinf + 
    225792000*li6half*ln2*sinf + 56448000*li5half*ln2^2*sinf - 
    201600*ln2^7*sinf - 151200000*ln2*s6*sinf + 24192000*s7a*sinf + 
    235872000*s7b*sinf + 451584000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 4625600*ln2^6*z2 + 6048000*s6*z2 + 
    169344000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    3057600*ln2^5*sinf*z2 - 86688000*li4half*z2^2 - 25250400*ln2^4*z2^2 - 
    14112000*ln2^3*sinf*z2^2 + 137592000*ln2^2*z2^3 + 
    97524000*ln2*sinf*z2^3 + 13660632*z2^4 - 290304000*li5half*z3 + 
    1008000*ln2^5*z3 + 105840000*li4half*sinf*z3 + 2646000*ln2^4*sinf*z3 + 
    2856000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 - 388735200*ln2*z2^2*z3 - 
    105033600*sinf*z2^2*z3 - 112329000*ln2^2*z3^2 - 18270000*ln2*sinf*z3^2 - 
    411957000*z2*z3^2 + 46746000*ln2^3*z5 - 134946000*ln2^2*sinf*z5 - 
    1535814000*ln2*z2*z5 - 712278000*sinf*z2*z5 + 499511250*z3*z5 + 
    778483125*sinf*z7)/56448000, H[1, -1, -1, -1, 1, -1, 0, -1, 1] -> 
  (366912000*li4half^2 - 620928000*li8half - 169344000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    37632000*li4half*ln2^4 + 557200*ln2^8 - 474768000*ln2^2*s6 + 
    175392000*ln2*s7a + 147168000*ln2*s7b + 569056950*s8a + 2924208000*s8b + 
    499968000*s8c + 304416000*s8d + 225792000*li7half*sinf + 
    338688000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf - 123200*ln2^7*sinf - 10080000*ln2*s6*sinf - 
    88704000*s7a*sinf + 278208000*s7b*sinf - 338688000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 155232000*li4half*ln2^2*z2 - 
    5488000*ln2^6*z2 - 1032192000*s6*z2 + 112896000*li5half*sinf*z2 + 
    84672000*li4half*ln2*sinf*z2 + 3292800*ln2^5*sinf*z2 - 
    215712000*li4half*z2^2 - 3225600*ln2^4*z2^2 - 23049600*ln2^3*sinf*z2^2 + 
    297410400*ln2^2*z2^3 + 89006400*ln2*sinf*z2^3 + 208721112*z2^4 - 
    721728000*li5half*z3 + 500976000*li4half*ln2*z3 + 27358800*ln2^5*z3 - 
    42336000*li4half*sinf*z3 - 1176000*ln2^4*sinf*z3 - 
    174804000*ln2^3*z2*z3 + 35280000*ln2^2*sinf*z2*z3 - 
    757512000*ln2*z2^2*z3 - 57052800*sinf*z2^2*z3 + 106596000*ln2^2*z3^2 - 
    209664000*ln2*sinf*z3^2 - 453033000*z2*z3^2 - 6762000*ln2^3*z5 - 
    406602000*ln2^2*sinf*z5 - 1964844000*ln2*z2*z5 - 941598000*sinf*z2*z5 + 
    1122612750*z3*z5 + 494101125*ln2*z7 + 1163751750*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 1, -1, -1, 1, 1] -> 
  (395136000*li8half - 50803200*li6half*ln2^2 - 11289600*li5half*ln2^3 + 
    35280*ln2^8 - 34272000*ln2^2*s6 + 30332925*s8a + 574056000*s8b + 
    26208000*s8c + 44352000*s8d - 214502400*li7half*sinf - 
    101606400*li6half*ln2*sinf - 16934400*li5half*ln2^2*sinf + 
    44800*ln2^7*sinf - 21369600*ln2*s6*sinf - 20966400*s7a*sinf + 
    21369600*s7b*sinf + 50803200*li6half*z2 + 16934400*li5half*ln2*z2 - 
    235200*ln2^6*z2 - 102816000*s6*z2 - 188160*ln2^5*sinf*z2 + 
    8870400*li4half*z2^2 - 218400*ln2^4*z2^2 - 752640*ln2^3*sinf*z2^2 - 
    22683360*ln2^2*z2^3 - 22065120*ln2*sinf*z2^3 - 17438712*z2^4 - 
    92937600*li5half*z3 + 1197840*ln2^5*z3 + 411600*ln2^4*sinf*z3 - 
    9508800*ln2^3*z2*z3 - 50442840*ln2*z2^2*z3 - 6390720*sinf*z2^2*z3 + 
    16997400*ln2^2*z3^2 - 6010200*ln2*sinf*z3^2 - 55112400*z2*z3^2 + 
    48039600*ln2^3*z5 + 22579200*ln2^2*sinf*z5 - 198664200*ln2*z2*z5 - 
    120544200*sinf*z2*z5 - 38680425*z3*z5 + 406433475*sinf*z7)/11289600, 
 H[1, -1, -1, -1, 1, -1, -1, 0, 1] -> 
  (197568000*li4half^2 - 1862784000*li8half + 282240000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 + 23520000*li4half*ln2^4 + 355600*ln2^8 + 
    59472000*ln2^2*s6 - 220920525*s8a - 3301704000*s8b - 118944000*s8c - 
    360864000*s8d + 1128960000*li7half*sinf + 564480000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf + 9408000*li4half*ln2^3*sinf + 
    11200*ln2^7*sinf - 76608000*ln2*s6*sinf + 76608000*s7a*sinf - 
    78624000*s7b*sinf + 282240000*li6half*z2 + 395136000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 313600*ln2^6*z2 + 961632000*s6*z2 + 
    169344000*li5half*sinf*z2 + 84672000*li4half*ln2*sinf*z2 + 
    2352000*ln2^5*sinf*z2 - 213292800*li4half*z2^2 - 6182400*ln2^4*z2^2 - 
    3292800*ln2^3*sinf*z2^2 + 105588000*ln2^2*z2^3 + 
    113652000*ln2*sinf*z2^3 + 57177696*z2^4 + 199584000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 453600*ln2^5*z3 - 21168000*li4half*sinf*z3 - 
    1176000*ln2^4*sinf*z3 + 28392000*ln2^3*z2*z3 + 
    17640000*ln2^2*sinf*z2*z3 + 128053800*ln2*z2^2*z3 + 
    31953600*sinf*z2^2*z3 - 693000*ln2^2*z3^2 + 67977000*ln2*sinf*z3^2 + 
    266490000*z2*z3^2 + 8526000*ln2^3*z5 + 163170000*ln2^2*sinf*z5 + 
    767403000*ln2*z2*z5 + 348705000*sinf*z2*z5 + 304408125*z3*z5 - 
    1961717625*sinf*z7)/56448000, H[1, -1, -1, -1, 1, -1, -1, -1, 1] -> 
  (3528000*li4half^2 - 254016000*li8half + 35280000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 5950*ln2^8 + 
    1512000*ln2^2*s6 - 13798575*s8a - 165564000*s8b - 3024000*s8c - 
    14616000*s8d + 141120000*li7half*sinf + 70560000*li6half*ln2*sinf + 
    14112000*li5half*ln2^2*sinf + 1176000*li4half*ln2^3*sinf - 
    35280000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    3528000*li4half*ln2^2*z2 - 68600*ln2^6*z2 + 38052000*s6*z2 - 
    5745600*li4half*z2^2 + 569100*ln2^4*z2^2 + 470400*ln2^3*sinf*z2^2 + 
    19185600*ln2^2*z2^3 + 16128000*ln2*sinf*z2^3 + 30351798*z2^4 + 
    32760000*li5half*z3 + 7056000*li4half*ln2*z3 - 37800*ln2^5*z3 + 
    1554000*ln2^3*z2*z3 + 11812500*ln2*z2^2*z3 - 3102750*ln2^2*z3^2 + 
    6347250*z2*z3^2 - 12936000*ln2^3*z5 - 14112000*ln2^2*sinf*z5 + 
    23184000*ln2*z2*z5 + 28861875*z3*z5 - 127008000*ln2*z7 - 
    141120000*sinf*z7)/7056000, H[1, -1, -1, -1, 0, 1, 1, 1, 1] -> 
  (112896000*li4half^2 - 282240000*li8half - 18816000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 51800*ln2^8 + 89712000*ln2^2*s6 - 209095425*s8a - 
    968184000*s8b - 179424000*s8c - 18144000*s8d + 112896000*li7half*sinf - 
    28224000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf - 
    179200*ln2^7*sinf + 28224000*ln2*s6*sinf - 28224000*s7a*sinf - 
    56448000*s7b*sinf + 28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    431200*ln2^6*z2 + 135072000*s6*z2 + 28224000*li4half*ln2*sinf*z2 + 
    1646400*ln2^5*sinf*z2 - 10684800*li4half*z2^2 + 1201200*ln2^4*z2^2 - 
    3292800*ln2^3*sinf*z2^2 - 10785600*ln2^2*z2^3 + 2822400*ln2*sinf*z2^3 - 
    8269848*z2^4 + 29232000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    2108400*ln2^5*z3 - 42336000*li4half*sinf*z3 - 1764000*ln2^4*sinf*z3 + 
    672000*ln2^3*z2*z3 + 22932000*ln2^2*sinf*z2*z3 + 181553400*ln2*z2^2*z3 + 
    49392000*sinf*z2^2*z3 + 60732000*ln2^2*z3^2 - 13671000*ln2*sinf*z3^2 + 
    128835000*z2*z3^2 + 2352000*ln2^3*z5 + 30870000*ln2^2*sinf*z5 + 
    534744000*ln2*z2*z5 + 166698000*sinf*z2*z5 - 93956625*z3*z5 - 
    496566000*sinf*z7)/56448000, H[1, -1, -1, -1, 0, 1, 1, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 
    2016000*ln2^2*s6 + 6038550*s8a + 23016000*s8b + 4032000*s8c + 
    1680000*s8d - 240000*ln2*s6*sinf + 240000*s7a*sinf + 1248000*s7b*sinf - 
    2016000*li5half*ln2*z2 - 336000*li4half*ln2^2*z2 + 2800*ln2^6*z2 - 
    6216000*s6*z2 - 672000*li5half*sinf*z2 - 672000*li4half*ln2*sinf*z2 - 
    22400*ln2^5*sinf*z2 + 168000*li4half*z2^2 - 35000*ln2^4*z2^2 + 
    1000800*ln2^2*z2^3 + 364800*ln2*sinf*z2^3 - 321432*z2^4 - 
    1176000*li5half*z3 + 9800*ln2^5*z3 + 1344000*li4half*sinf*z3 + 
    56000*ln2^4*sinf*z3 - 658000*ln2^3*z2*z3 - 672000*ln2^2*sinf*z2*z3 - 
    4699800*ln2*z2^2*z3 - 1366800*sinf*z2^2*z3 - 488250*ln2^2*z3^2 + 
    457500*ln2*sinf*z3^2 - 4688250*z2*z3^2 - 280000*ln2^3*z5 - 
    1396500*ln2^2*sinf*z5 - 10101000*ln2*z2*z5 - 3172500*sinf*z2*z5 + 
    10689000*z3*z5 + 8750625*sinf*z7)/1344000, 
 H[1, -1, -1, -1, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 + 3612672000*li8half + 508032000*li7half*ln2 - 
    56448000*li5half*ln2^3 - 9408000*li4half*ln2^4 + 116200*ln2^8 - 
    486864000*ln2^2*s6 + 129024000*ln2*s7a - 26208000*ln2*s7b + 
    1159946550*s8a + 7364448000*s8b + 758016000*s8c + 681408000*s8d + 
    395136000*li7half*sinf - 84672000*li5half*ln2^2*sinf - 
    9408000*li4half*ln2^3*sinf + 235200*ln2^7*sinf - 76608000*ln2*s6*sinf + 
    118944000*s7a*sinf - 149184000*s7b*sinf + 84672000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 3018400*ln2^6*z2 - 2103696000*s6*z2 - 
    28224000*li4half*ln2*sinf*z2 + 2822400*ln2^5*sinf*z2 + 
    143337600*li4half*z2^2 - 41420400*ln2^4*z2^2 + 2822400*ln2^3*sinf*z2^2 + 
    70610400*ln2^2*z2^3 + 21067200*ln2*sinf*z2^3 - 264494952*z2^4 - 
    1383984000*li5half*z3 + 49392000*li4half*ln2*z3 + 15237600*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 2646000*ln2^4*sinf*z3 - 
    101808000*ln2^3*z2*z3 - 15876000*ln2^2*sinf*z2*z3 - 
    1016593200*ln2*z2^2*z3 + 31424400*sinf*z2^2*z3 + 57550500*ln2^2*z3^2 + 
    154413000*ln2*sinf*z3^2 - 848326500*z2*z3^2 + 184485000*ln2^3*z5 + 
    310905000*ln2^2*sinf*z5 - 2243367000*ln2*z2*z5 + 446607000*sinf*z2*z5 + 
    1032459750*z3*z5 - 269427375*ln2*z7 - 1067424750*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, 1, 0, 1, 1] -> 
  (-197568000*li4half^2 + 1354752000*li8half - 112896000*li6half*ln2^2 - 
    16464000*li4half*ln2^4 - 466200*ln2^8 - 216720000*ln2^2*s6 + 
    298662525*s8a + 1892520000*s8b + 376992000*s8c - 80640000*s8d - 
    677376000*li7half*sinf - 225792000*li6half*ln2*sinf - 179200*ln2^7*sinf - 
    74592000*ln2*s6*sinf + 18144000*s7a*sinf + 145152000*s7b*sinf + 
    338688000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 3880800*ln2^6*z2 + 97776000*s6*z2 + 
    56448000*li5half*sinf*z2 - 56448000*li4half*ln2*sinf*z2 - 
    940800*ln2^5*sinf*z2 + 160272000*li4half*z2^2 + 5854800*ln2^4*z2^2 + 
    21638400*ln2^3*sinf*z2^2 - 80287200*ln2^2*z2^3 - 24393600*ln2*sinf*z2^3 - 
    9252216*z2^4 - 92736000*li5half*z3 - 225792000*li4half*ln2*z3 - 
    15220800*ln2^5*z3 + 7056000*li4half*sinf*z3 - 7938000*ln2^4*sinf*z3 + 
    36960000*ln2^3*z2*z3 - 44100000*ln2^2*sinf*z2*z3 - 
    159856200*ln2*z2^2*z3 - 37144800*sinf*z2^2*z3 - 182007000*ln2^2*z3^2 - 
    37737000*ln2*sinf*z3^2 - 270837000*z2*z3^2 + 17052000*ln2^3*z5 - 
    97461000*ln2^2*sinf*z5 - 1211238000*ln2*z2*z5 - 477981000*sinf*z2*z5 - 
    653979375*z3*z5 + 1430320500*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, 1, 0, 0, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 - 1310400*ln2^2*s6 + 
    4106025*s8a + 18950400*s8b + 2620800*s8c + 4435200*s8d + 
    5846400*ln2*s6*sinf - 5846400*s7a*sinf + 1209600*s7b*sinf - 
    11289600*li6half*z2 - 1411200*li4half*ln2^2*z2 - 74480*ln2^6*z2 - 
    15220800*s6*z2 + 3709440*li4half*z2^2 + 989520*ln2^4*z2^2 + 
    564480*ln2^3*sinf*z2^2 + 2997120*ln2^2*z2^3 + 1947120*ln2*sinf*z2^3 - 
    1346274*z2^4 - 11692800*li5half*z3 + 97440*ln2^5*z3 - 
    2116800*li4half*sinf*z3 - 88200*ln2^4*sinf*z3 - 2738400*ln2^3*z2*z3 - 
    529200*ln2^2*sinf*z2*z3 + 761040*ln2*z2^2*z3 + 1513260*sinf*z2^2*z3 + 
    667800*ln2^2*z3^2 - 5235300*ln2*sinf*z3^2 - 4192650*z2*z3^2 - 
    3939600*ln2^3*z5 - 12744900*ln2^2*sinf*z5 - 7377300*ln2*z2*z5 - 
    5581800*sinf*z2*z5 + 22787100*z3*z5 + 907200*sinf*z7)/2822400, 
 H[1, -1, -1, -1, 0, 1, 0, -1, 1] -> 
  (-225792000*li4half^2 - 1128960000*li8half + 225792000*li7half*ln2 + 
    112896000*li6half*ln2^2 - 18816000*li4half*ln2^4 - 308000*ln2^8 + 
    84672000*ln2^2*s6 - 157248000*ln2*s7a - 340704000*ln2*s7b - 
    24106950*s8a - 1303344000*s8b + 201600000*s8c - 399168000*s8d + 
    903168000*li7half*sinf + 225792000*li6half*ln2*sinf + 134400*ln2^7*sinf - 
    106848000*ln2*s6*sinf + 163296000*s7a*sinf - 147168000*s7b*sinf + 
    98784000*li4half*ln2^2*z2 + 3488800*ln2^6*z2 + 897120000*s6*z2 - 
    28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    1881600*ln2^5*sinf*z2 + 105033600*li4half*z2^2 + 6316800*ln2^4*z2^2 + 
    21403200*ln2^3*sinf*z2^2 - 21268800*ln2^2*z2^3 + 74743200*ln2*sinf*z2^3 + 
    190691208*z2^4 + 833616000*li5half*z3 - 345744000*li4half*ln2*z3 - 
    21352800*ln2^5*z3 + 14112000*li4half*sinf*z3 + 588000*ln2^4*sinf*z3 + 
    141792000*ln2^3*z2*z3 - 24696000*ln2^2*sinf*z2*z3 + 
    450878400*ln2*z2^2*z3 + 41781600*sinf*z2^2*z3 - 250267500*ln2^2*z3^2 + 
    153405000*ln2*sinf*z3^2 - 96516000*z2*z3^2 + 160671000*ln2^3*z5 + 
    275184000*ln2^2*sinf*z5 + 427329000*ln2*z2*z5 + 445536000*sinf*z2*z5 - 
    557282250*z3*z5 - 2551098375*ln2*z7 - 1520528625*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, 1, -1, 1, 1] -> 
  (-16934400*li4half^2 - 1670860800*li8half + 79027200*li6half*ln2^2 + 
    33868800*li5half*ln2^3 - 184520*ln2^8 + 185673600*ln2^2*s6 - 
    493760925*s8a - 3207758400*s8b - 320544000*s8c - 289094400*s8d + 
    45158400*li7half*sinf + 79027200*li6half*ln2*sinf + 
    50803200*li5half*ln2^2*sinf + 1881600*li4half*ln2^3*sinf - 
    244160*ln2^7*sinf + 28224000*ln2*s6*sinf - 2822400*s7a*sinf + 
    22579200*s7b*sinf - 79027200*li6half*z2 - 73382400*li5half*ln2*z2 - 
    11289600*li4half*ln2^2*z2 - 101920*ln2^6*z2 + 857606400*s6*z2 - 
    22579200*li5half*sinf*z2 - 329280*ln2^5*sinf*z2 - 46529280*li4half*z2^2 + 
    12208560*ln2^4*z2^2 + 329280*ln2^3*sinf*z2^2 - 5725440*ln2^2*z2^3 - 
    2721600*ln2*sinf*z2^3 + 125505864*z2^4 + 664272000*li5half*z3 - 
    6194160*ln2^5*z3 - 1411200*li4half*sinf*z3 - 882000*ln2^4*sinf*z3 + 
    37598400*ln2^3*z2*z3 - 2116800*ln2^2*sinf*z2*z3 + 416130120*ln2*z2^2*z3 - 
    4974480*sinf*z2^2*z3 + 19807200*ln2^2*z3^2 - 24784200*ln2*sinf*z3^2 + 
    383027400*z2*z3^2 - 25989600*ln2^3*z5 - 63592200*ln2^2*sinf*z5 + 
    1030692600*ln2*z2*z5 - 37044000*sinf*z2*z5 - 470857275*z3*z5 + 
    57352050*sinf*z7)/11289600, H[1, -1, -1, -1, 0, 1, -1, 0, 1] -> 
  (-2257920*li4half^2 + 90316800*li8half - 564480*li4half*ln2^4 - 
    17360*ln2^8 - 8211840*ln2^2*s6 + 30109485*s8a + 196983360*s8b + 
    19057920*s8c + 20079360*s8d - 24084480*li7half*sinf - 
    501760*li4half*ln2^3*sinf - 16128*ln2^7*sinf + 5886720*ln2*s6*sinf - 
    3252480*s7a*sinf + 3709440*s7b*sinf + 7902720*li6half*z2 + 
    1128960*li5half*ln2*z2 - 376320*li4half*ln2^2*z2 + 17248*ln2^6*z2 - 
    56622720*s6*z2 + 376320*li5half*sinf*z2 - 1128960*li4half*ln2*sinf*z2 - 
    25088*ln2^5*sinf*z2 + 6179712*li4half*z2^2 - 511616*ln2^4*z2^2 - 
    787136*ln2^3*sinf*z2^2 + 2688*ln2^2*z2^3 - 2081856*ln2*sinf*z2^3 - 
    8655840*z2^4 - 41381760*li5half*z3 - 3010560*li4half*ln2*z3 + 
    219408*ln2^5*z3 + 282240*li4half*sinf*z3 + 11760*ln2^4*sinf*z3 - 
    2931040*ln2^3*z2*z3 - 211680*ln2^2*sinf*z2*z3 - 23512440*ln2*z2^2*z3 - 
    1137024*sinf*z2^2*z3 - 3032820*ln2^2*z3^2 - 4771200*ln2*sinf*z3^2 - 
    23498580*z2*z3^2 - 1422960*ln2^3*z5 - 8878800*ln2^2*sinf*z5 - 
    57561840*ln2*z2*z5 - 11954880*sinf*z2*z5 + 32716005*z3*z5 + 
    41685630*sinf*z7)/752640, H[1, -1, -1, -1, 0, 1, -1, -1, 1] -> 
  (-141120000*li4half^2 + 4572288000*li8half - 846720000*li7half*ln2 - 
    395136000*li6half*ln2^2 - 94080000*li5half*ln2^3 - 
    32928000*li4half*ln2^4 - 610400*ln2^8 - 613872000*ln2^2*s6 - 
    82656000*ln2*s7a - 26208000*ln2*s7b + 1930836600*s8a + 11964960000*s8b + 
    1350720000*s8c + 1118880000*s8d - 1072512000*li7half*sinf - 
    395136000*li6half*ln2*sinf - 141120000*li5half*ln2^2*sinf - 
    28224000*li4half*ln2^3*sinf - 336000*ln2^7*sinf + 72576000*ln2*s6*sinf + 
    12096000*s7a*sinf + 82656000*s7b*sinf + 197568000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 155232000*li4half*ln2^2*z2 + 
    9839200*ln2^6*z2 - 3514896000*s6*z2 + 6115200*ln2^5*sinf*z2 + 
    340905600*li4half*z2^2 - 71232000*ln2^4*z2^2 - 29164800*ln2^3*sinf*z2^2 + 
    13204800*ln2^2*z2^3 - 104882400*ln2*sinf*z2^3 - 352769544*z2^4 - 
    2273040000*li5half*z3 - 317520000*li4half*ln2*z3 + 4065600*ln2^5*z3 - 
    2058000*ln2^4*sinf*z3 - 51240000*ln2^3*z2*z3 + 
    12348000*ln2^2*sinf*z2*z3 - 1436954400*ln2*z2^2*z3 - 
    20059200*sinf*z2^2*z3 - 345523500*ln2^2*z3^2 - 87633000*ln2*sinf*z3^2 - 
    1431328500*z2*z3^2 - 43218000*ln2^3*z5 - 51156000*ln2^2*sinf*z5 - 
    3994137000*ln2*z2*z5 - 245007000*sinf*z2*z5 + 1862862750*z3*z5 + 
    581371875*ln2*z7 + 1513488375*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 141120000*li8half + 21168000*li6half*ln2^2 + 
    4704000*li5half*ln2^3 - 1176000*li4half*ln2^4 - 37800*ln2^8 + 
    26964000*ln2^2*s6 - 40008150*s8a - 212184000*s8b - 43344000*s8c + 
    8064000*s8d + 84672000*li7half*sinf + 42336000*li6half*ln2*sinf + 
    7056000*li5half*ln2^2*sinf - 16800*ln2^7*sinf - 3528000*ln2*s6*sinf + 
    14112000*s7a*sinf - 7056000*s7b*sinf - 21168000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 254800*ln2^6*z2 - 3780000*s6*z2 - 
    21168000*li5half*sinf*z2 - 7056000*li4half*ln2*sinf*z2 - 
    58800*ln2^5*sinf*z2 - 15321600*li4half*z2^2 - 1579200*ln2^4*z2^2 + 
    117600*ln2^3*sinf*z2^2 + 1877400*ln2^2*z2^3 + 2595600*ln2*sinf*z2^3 + 
    1222506*z2^4 + 61488000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    75600*ln2^5*z3 + 22932000*li4half*sinf*z3 + 955500*ln2^4*sinf*z3 + 
    1596000*ln2^3*z2*z3 - 5733000*ln2^2*sinf*z2*z3 + 29030400*ln2*z2^2*z3 - 
    9261000*sinf*z2^2*z3 + 13592250*ln2^2*z3^2 + 20286000*ln2*sinf*z3^2 + 
    29090250*z2*z3^2 - 1102500*ln2^3*z5 + 18852750*ln2^2*sinf*z5 + 
    141939000*ln2*z2*z5 + 31641750*sinf*z2*z5 + 29594250*z3*z5 - 
    84065625*sinf*z7)/7056000, H[1, -1, -1, -1, 0, 0, 1, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    5040000*ln2^2*s6 - 9100350*s8a - 86688000*s8b + 10080000*s8c - 
    45360000*s8d - 1008000*ln2*s6*sinf + 1008000*s7a*sinf - 
    34272000*s7b*sinf + 84672000*li6half*z2 + 42336000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 529200*ln2^6*z2 + 129528000*s6*z2 + 
    14112000*li5half*sinf*z2 - 117600*ln2^5*sinf*z2 - 6955200*li4half*z2^2 + 
    239400*ln2^4*z2^2 - 1646400*ln2^3*sinf*z2^2 - 8853600*ln2^2*z2^3 - 
    12012000*ln2*sinf*z2^3 + 13069104*z2^4 + 16632000*li5half*z3 - 
    138600*ln2^5*z3 - 52920000*li4half*sinf*z3 - 2205000*ln2^4*sinf*z3 - 
    4494000*ln2^3*z2*z3 + 9702000*ln2^2*sinf*z2*z3 - 478800*ln2*z2^2*z3 + 
    36225000*sinf*z2^2*z3 - 8804250*ln2^2*z3^2 - 13513500*ln2*sinf*z3^2 + 
    13056750*z2*z3^2 + 24402000*ln2^3*z5 + 70780500*ln2^2*sinf*z5 - 
    76765500*ln2*z2*z5 + 98469000*sinf*z2*z5 - 150026625*z3*z5 - 
    218365875*sinf*z7)/14112000, H[1, -1, -1, -1, 0, 0, 1, -1, 1] -> 
  (14112000*li4half^2 + 263424000*li8half + 56448000*li7half*ln2 - 
    28224000*li6half*ln2^2 - 6272000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 
    32900*ln2^8 - 42672000*ln2^2*s6 + 22848000*ln2*s7a - 24192000*ln2*s7b + 
    65400825*s8a + 527856000*s8b + 34944000*s8c + 56784000*s8d - 
    56448000*li7half*sinf - 56448000*li6half*ln2*sinf - 
    9408000*li5half*ln2^2*sinf + 11200*ln2^7*sinf - 12096000*ln2*s6*sinf + 
    7392000*s7a*sinf - 11424000*s7b*sinf + 28224000*li6half*z2 + 
    23520000*li5half*ln2*z2 + 2352000*li4half*ln2^2*z2 + 58800*ln2^6*z2 - 
    157080000*s6*z2 + 23520000*li4half*ln2*sinf*z2 + 1136800*ln2^5*sinf*z2 + 
    3830400*li4half*z2^2 - 771400*ln2^4*z2^2 - 4390400*ln2^3*sinf*z2^2 - 
    2032800*ln2^2*z2^3 - 15338400*ln2*sinf*z2^3 - 18872388*z2^4 - 
    125328000*li5half*z3 - 18816000*li4half*ln2*z3 + 809200*ln2^5*z3 - 
    14112000*li4half*sinf*z3 + 98000*ln2^4*sinf*z3 - 56000*ln2^3*z2*z3 + 
    17640000*ln2^2*sinf*z2*z3 - 47283600*ln2*z2^2*z3 + 
    10752000*sinf*z2^2*z3 + 17031000*ln2^2*z3^2 - 3990000*ln2*sinf*z3^2 - 
    38703000*z2*z3^2 + 62230000*ln2^3*z5 + 43218000*ln2^2*sinf*z5 - 
    44058000*ln2*z2*z5 + 34146000*sinf*z2*z5 + 24215625*z3*z5 - 
    220048500*ln2*z7 - 4176375*sinf*z7)/9408000, 
 H[1, -1, -1, -1, 0, 0, 0, 1, 1] -> 
  (504000*ln2^2*s6 - 1196475*s8a - 11760000*s8b - 2688000*s8d + 
    1008000*s7a*sinf - 4032000*li6half*z2 - 5600*ln2^6*z2 + 4200000*s6*z2 + 
    1344000*li5half*sinf*z2 - 11200*ln2^5*sinf*z2 - 604800*li4half*z2^2 + 
    92400*ln2^4*z2^2 + 156800*ln2^3*sinf*z2^2 + 179600*ln2^2*z2^3 + 
    460000*ln2*sinf*z2^3 + 1189624*z2^4 + 3360000*li5half*z3 - 
    28000*ln2^5*z3 + 672000*li4half*sinf*z3 + 28000*ln2^4*sinf*z3 + 
    56000*ln2^3*z2*z3 - 504000*ln2^2*sinf*z2*z3 + 772800*ln2*z2^2*z3 - 
    403200*sinf*z2^2*z3 - 210000*ln2^2*z3^2 + 840000*ln2*sinf*z3^2 + 
    2394000*z2*z3^2 - 1064000*ln2^3*z5 - 619500*ln2^2*sinf*z5 + 
    2572500*ln2*z2*z5 + 315000*sinf*z2*z5 - 6762000*z3*z5 - 1407000*sinf*z7)/
   672000, H[1, -1, -1, -1, 0, 0, 0, 0, 1] -> 
  (105525*s8a + 772800*s8b + 201600*s8d + 67200*ln2*s6*sinf - 
    67200*s7a*sinf - 403200*s6*z2 + 13440*li4half*z2^2 + 560*ln2^4*z2^2 + 
    51360*ln2^2*z2^3 + 22080*ln2*sinf*z2^3 - 72732*z2^4 - 268800*li5half*z3 + 
    2240*ln2^5*z3 - 22400*ln2^3*z2*z3 - 114240*ln2*z2^2*z3 - 
    23520*sinf*z2^2*z3 + 16800*ln2^2*z3^2 - 50400*ln2*sinf*z3^2 - 
    126000*z2*z3^2 - 22400*ln2^3*z5 - 98700*ln2^2*sinf*z5 - 
    168000*ln2*z2*z5 - 69300*sinf*z2*z5 + 712425*z3*z5 + 129675*sinf*z7)/
   67200, H[1, -1, -1, -1, 0, 0, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    21168000*ln2^2*s6 - 24192000*ln2*s7a + 46368000*ln2*s7b - 55575450*s8a - 
    476784000*s8b - 36288000*s8c - 34272000*s8d + 24192000*ln2*s6*sinf - 
    66528000*s7a*sinf + 46368000*s7b*sinf - 84672000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 705600*ln2^6*z2 + 82656000*s6*z2 + 
    28224000*li5half*sinf*z2 - 235200*ln2^5*sinf*z2 - 28022400*li4half*z2^2 + 
    3595200*ln2^4*z2^2 + 3998400*ln2^3*sinf*z2^2 + 19572000*ln2^2*z2^3 + 
    33146400*ln2*sinf*z2^3 - 16606032*z2^4 + 54432000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 1604400*ln2^5*z3 + 21168000*li4half*sinf*z3 + 
    882000*ln2^4*sinf*z3 - 12516000*ln2^3*z2*z3 - 12348000*ln2^2*sinf*z2*z3 + 
    2646000*ln2*z2^2*z3 - 26913600*sinf*z2^2*z3 + 8379000*ln2^2*z3^2 - 
    16128000*ln2*sinf*z3^2 + 39123000*z2*z3^2 - 96579000*ln2^3*z5 - 
    151704000*ln2^2*sinf*z5 + 12789000*ln2*z2*z5 - 154287000*sinf*z2*z5 + 
    88578000*z3*z5 + 501409125*ln2*z7 + 182455875*sinf*z7)/28224000, 
 H[1, -1, -1, -1, 0, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 + 1016064000*li8half - 56448000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 2352000*li4half*ln2^4 + 211400*ln2^8 - 
    279216000*ln2^2*s6 + 643880475*s8a + 2921688000*s8b + 558432000*s8c + 
    90720000*s8d - 790272000*li7half*sinf - 225792000*li6half*ln2*sinf - 
    56448000*li5half*ln2^2*sinf + 313600*ln2^7*sinf + 36288000*ln2*s6*sinf - 
    106848000*s7a*sinf + 288288000*s7b*sinf + 56448000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 2704800*ln2^6*z2 - 
    506016000*s6*z2 + 112896000*li5half*sinf*z2 - 84672000*li4half*ln2*sinf*
     z2 - 7761600*ln2^5*sinf*z2 + 19555200*li4half*z2^2 + 
    5166000*ln2^4*z2^2 + 15288000*ln2^3*sinf*z2^2 + 110678400*ln2^2*z2^3 + 
    60429600*ln2*sinf*z2^3 - 6770664*z2^4 - 470736000*li5half*z3 + 
    7215600*ln2^5*z3 + 91728000*li4half*sinf*z3 + 7938000*ln2^4*sinf*z3 - 
    89796000*ln2^3*z2*z3 - 107604000*ln2^2*sinf*z2*z3 - 
    526037400*ln2*z2^2*z3 - 133862400*sinf*z2^2*z3 - 83380500*ln2^2*z3^2 - 
    92106000*ln2*sinf*z3^2 - 515182500*z2*z3^2 - 82320000*ln2^3*z5 - 
    506268000*ln2^2*sinf*z5 - 1644867000*ln2*z2*z5 - 872865000*sinf*z2*z5 + 
    576725625*z3*z5 + 2117422125*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, 0, -1, 0, 1] -> 
  (7728000*ln2^2*s6 - 2934225*s8a + 53424000*s8b - 15456000*s8c + 
    20160000*s8d + 6048000*ln2*s6*sinf - 6048000*s7a*sinf - 
    20160000*s7b*sinf - 28224000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    196000*ln2^6*z2 - 39144000*s6*z2 - 9408000*li5half*sinf*z2 + 
    78400*ln2^5*sinf*z2 - 1848000*li4half*z2^2 - 3075800*ln2^4*z2^2 - 
    2430400*ln2^3*sinf*z2^2 - 2413600*ln2^2*z2^3 - 10169600*ln2*sinf*z2^3 + 
    2516264*z2^4 - 23856000*li5half*z3 + 198800*ln2^5*z3 - 
    14112000*li4half*sinf*z3 - 588000*ln2^4*sinf*z3 + 1932000*ln2^3*z2*z3 + 
    5880000*ln2^2*sinf*z2*z3 - 4540200*ln2*z2^2*z3 + 12499200*sinf*z2^2*z3 + 
    4525500*ln2^2*z3^2 - 2856000*ln2*sinf*z3^2 + 640500*z2*z3^2 + 
    14112000*ln2^3*z5 + 34839000*ln2^2*sinf*z5 + 4473000*ln2*z2*z5 + 
    52752000*sinf*z2*z5 + 36280125*z3*z5 - 89208000*sinf*z7)/9408000, 
 H[1, -1, -1, -1, 0, 0, -1, -1, 1] -> 
  (56448000*li4half^2 - 1693440000*li8half - 564480000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 4704000*li4half*ln2^4 - 
    67200*ln2^8 + 448560000*ln2^2*s6 - 183456000*ln2*s7a + 
    197568000*ln2*s7b - 768903975*s8a - 4720968000*s8b - 586656000*s8c - 
    372960000*s8d + 225792000*li7half*sinf + 225792000*li6half*ln2*sinf + 
    56448000*li5half*ln2^2*sinf - 201600*ln2^7*sinf + 54432000*ln2*s6*sinf - 
    40320000*s7a*sinf - 54432000*s7b*sinf - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 78400*ln2^6*z2 + 
    1218672000*s6*z2 + 940800*ln2^5*sinf*z2 - 121161600*li4half*z2^2 - 
    9164400*ln2^4*z2^2 - 7056000*ln2^3*sinf*z2^2 - 89359200*ln2^2*z2^3 - 
    9525600*ln2*sinf*z2^3 + 75370104*z2^4 + 767088000*li5half*z3 + 
    98784000*li4half*ln2*z3 - 2276400*ln2^5*z3 + 7056000*li4half*sinf*z3 + 
    294000*ln2^4*sinf*z3 + 39228000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 + 
    504340200*ln2*z2^2*z3 + 8769600*sinf*z2^2*z3 - 35689500*ln2^2*z3^2 + 
    21924000*ln2*sinf*z3^2 + 579568500*z2*z3^2 - 341481000*ln2^3*z5 + 
    55125000*ln2^2*sinf*z5 + 1126251000*ln2*z2*z5 + 160335000*sinf*z2*z5 - 
    456883875*z3*z5 + 1848451500*ln2*z7 - 539870625*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, -1, 1, 1, 1] -> 
  (-197568000*li4half^2 + 4741632000*li8half + 28224000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 460600*ln2^8 - 
    299376000*ln2^2*s6 + 1034808075*s8a + 8163288000*s8b + 542304000*s8c + 
    981792000*s8d - 169344000*li7half*sinf + 56448000*li6half*ln2*sinf + 
    28224000*li4half*ln2^3*sinf + 1288000*ln2^7*sinf - 64512000*ln2*s6*sinf + 
    8064000*s7a*sinf + 36288000*s7b*sinf - 28224000*li6half*z2 - 
    197568000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 509600*ln2^6*z2 - 
    2697408000*s6*z2 - 112896000*li5half*sinf*z2 - 
    112896000*li4half*ln2*sinf*z2 - 5644800*ln2^5*sinf*z2 + 
    98985600*li4half*z2^2 - 24805200*ln2^4*z2^2 + 10819200*ln2^3*sinf*z2^2 - 
    66931200*ln2^2*z2^3 - 17740800*ln2*sinf*z2^3 - 397012968*z2^4 - 
    1448496000*li5half*z3 + 112896000*li4half*ln2*z3 + 18421200*ln2^5*z3 + 
    218736000*li4half*sinf*z3 + 11172000*ln2^4*sinf*z3 - 
    110712000*ln2^3*z2*z3 - 54684000*ln2^2*sinf*z2*z3 - 
    844414200*ln2*z2^2*z3 - 101102400*sinf*z2^2*z3 + 43911000*ln2^2*z3^2 + 
    102249000*ln2*sinf*z3^2 - 848610000*z2*z3^2 + 61446000*ln2^3*z5 + 
    51156000*ln2^2*sinf*z5 - 1773765000*ln2*z2*z5 - 148491000*sinf*z2*z5 + 
    1125865125*z3*z5 + 643954500*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, -1, 1, 0, 1] -> 
  (395136000*li4half^2 - 6773760000*li8half + 61152000*li4half*ln2^4 + 
    1694000*ln2^8 + 413280000*ln2^2*s6 - 1913927400*s8a - 13706784000*s8b - 
    1024128000*s8c - 1657152000*s8d + 1806336000*li7half*sinf + 
    37632000*li4half*ln2^3*sinf + 1209600*ln2^7*sinf - 
    391104000*ln2*s6*sinf + 193536000*s7a*sinf - 243936000*s7b*sinf + 
    56448000*li6half*z2 + 423360000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 4625600*ln2^6*z2 + 4598496000*s6*z2 + 
    112896000*li5half*sinf*z2 + 141120000*li4half*ln2*sinf*z2 + 
    3057600*ln2^5*sinf*z2 - 527587200*li4half*z2^2 + 46872000*ln2^4*z2^2 + 
    51979200*ln2^3*sinf*z2^2 + 83462400*ln2^2*z2^3 + 
    186127200*ln2*sinf*z2^3 + 677908656*z2^4 + 2778048000*li5half*z3 + 
    225792000*li4half*ln2*z3 - 13742400*ln2^5*z3 - 
    232848000*li4half*sinf*z3 - 9702000*ln2^4*sinf*z3 + 
    157416000*ln2^3*z2*z3 + 47628000*ln2^2*sinf*z2*z3 + 
    1439524800*ln2*z2^2*z3 + 171208800*sinf*z2^2*z3 + 126819000*ln2^2*z3^2 + 
    207522000*ln2*sinf*z3^2 + 1436211000*z2*z3^2 + 75558000*ln2^3*z5 + 
    537138000*ln2^2*sinf*z5 + 2879226000*ln2*z2*z5 + 694512000*sinf*z2*z5 - 
    2307595500*z3*z5 - 3098678625*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, -1, 1, -1, 1] -> 
  (84672000*li4half^2 - 8297856000*li8half - 733824000*li7half*ln2 - 
    28224000*li6half*ln2^2 + 47040000*li5half*ln2^3 - 638400*ln2^8 + 
    863856000*ln2^2*s6 - 147168000*ln2*s7a + 106848000*ln2*s7b - 
    2280376350*s8a - 14998032000*s8b - 1419264000*s8c - 1445472000*s8d - 
    564480000*li7half*sinf - 56448000*li6half*ln2*sinf + 
    112896000*li5half*ln2^2*sinf - 9408000*li4half*ln2^3*sinf - 
    1299200*ln2^7*sinf + 102816000*ln2*s6*sinf - 88704000*s7a*sinf + 
    278208000*s7b*sinf + 28224000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    1332800*ln2^6*z2 + 4316256000*s6*z2 + 112896000*li4half*ln2*sinf*z2 + 
    1176000*ln2^5*sinf*z2 - 325785600*li4half*z2^2 + 43226400*ln2^4*z2^2 - 
    28694400*ln2^3*sinf*z2^2 - 12650400*ln2^2*z2^3 - 38404800*ln2*sinf*z2^3 + 
    646770024*z2^4 + 2876832000*li5half*z3 - 134064000*li4half*ln2*z3 - 
    26266800*ln2^5*z3 - 56448000*li4half*sinf*z3 + 1764000*ln2^4*sinf*z3 + 
    180348000*ln2^3*z2*z3 + 14112000*ln2^2*sinf*z2*z3 + 
    1850335200*ln2*z2^2*z3 - 51408000*sinf*z2^2*z3 - 54936000*ln2^2*z3^2 - 
    252000000*ln2*sinf*z3^2 + 1695960000*z2*z3^2 - 289296000*ln2^3*z5 - 
    406602000*ln2^2*sinf*z5 + 4014486000*ln2*z2*z5 - 828702000*sinf*z2*z5 - 
    1991508750*z3*z5 + 756464625*ln2*z7 + 1954023750*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 + 1354752000*li8half - 112896000*li6half*ln2^2 - 
    2352000*li4half*ln2^4 - 172200*ln2^8 - 161280000*ln2^2*s6 + 
    384125175*s8a + 933912000*s8b + 449568000*s8c - 379008000*s8d - 
    677376000*li7half*sinf - 225792000*li6half*ln2*sinf - 179200*ln2^7*sinf + 
    64512000*ln2*s6*sinf + 62496000*s7a*sinf + 6048000*s7b*sinf + 
    282240000*li6half*z2 + 282240000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 + 546336000*s6*z2 + 
    338688000*li5half*sinf*z2 + 56448000*li4half*ln2*sinf*z2 + 
    1411200*ln2^5*sinf*z2 + 6048000*li4half*z2^2 + 9601200*ln2^4*z2^2 + 
    14817600*ln2^3*sinf*z2^2 - 48283200*ln2^2*z2^3 + 3175200*ln2*sinf*z2^3 + 
    22376448*z2^4 - 166320000*li5half*z3 - 225792000*li4half*ln2*z3 - 
    14607600*ln2^5*z3 - 63504000*li4half*sinf*z3 - 10878000*ln2^4*sinf*z3 + 
    21420000*ln2^3*z2*z3 - 40572000*ln2^2*sinf*z2*z3 - 
    261664200*ln2*z2^2*z3 + 18547200*sinf*z2^2*z3 - 211396500*ln2^2*z3^2 - 
    20664000*ln2*sinf*z3^2 - 129244500*z2*z3^2 - 108192000*ln2^3*z5 - 
    107604000*ln2^2*sinf*z5 - 1008693000*ln2*z2*z5 - 118755000*sinf*z2*z5 - 
    703906875*z3*z5 + 382528125*sinf*z7)/56448000, 
 H[1, -1, -1, -1, 0, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    5040000*ln2^2*s6 + 42561225*s8a + 499464000*s8b - 10080000*s8c + 
    165312000*s8d + 84672000*ln2*s6*sinf - 84672000*s7a*sinf + 
    14112000*s7b*sinf - 112896000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 
    431200*ln2^6*z2 - 344736000*s6*z2 + 68342400*li4half*z2^2 + 
    7140000*ln2^4*z2^2 + 4939200*ln2^3*sinf*z2^2 + 48703200*ln2^2*z2^3 + 
    33045600*ln2*sinf*z2^3 - 53140464*z2^4 - 154224000*li5half*z3 + 
    1285200*ln2^5*z3 + 21168000*li4half*sinf*z3 + 882000*ln2^4*sinf*z3 - 
    36372000*ln2^3*z2*z3 - 19404000*ln2^2*sinf*z2*z3 + 4095000*ln2*z2^2*z3 - 
    13406400*sinf*z2^2*z3 + 29641500*ln2^2*z3^2 - 49392000*ln2*sinf*z3^2 - 
    109084500*z2*z3^2 - 51744000*ln2^3*z5 - 173313000*ln2^2*sinf*z5 - 
    124992000*ln2*z2*z5 - 122157000*sinf*z2*z5 + 521569125*z3*z5 + 
    134119125*sinf*z7)/28224000, H[1, -1, -1, -1, 0, -1, 0, -1, 1] -> 
  (-45158400*li8half + 9031680*li7half*ln2 + 4515840*li6half*ln2^2 + 
    3360*ln2^8 + 1491840*ln2^2*s6 - 7499520*ln2*s7a - 6370560*ln2*s7b + 
    128520*s8a - 82897920*s8b + 6935040*s8c - 16531200*s8d + 
    36126720*li7half*sinf + 9031680*li6half*ln2*sinf + 5376*ln2^7*sinf + 
    403200*ln2*s6*sinf - 5483520*s7a*sinf - 2096640*s7b*sinf - 
    1128960*li6half*z2 + 3386880*li5half*ln2*z2 + 564480*li4half*ln2^2*z2 - 
    31360*ln2^6*z2 + 38142720*s6*z2 + 4515840*li5half*sinf*z2 + 
    1128960*li4half*ln2*sinf*z2 - 28224*ln2^5*sinf*z2 - 
    3024000*li4half*z2^2 + 497280*ln2^4*z2^2 + 705600*ln2^3*sinf*z2^2 + 
    3610656*ln2^2*z2^3 + 6535872*ln2*sinf*z2^3 + 3248856*z2^4 + 
    25724160*li5half*z3 - 1975680*li4half*ln2*z3 - 296688*ln2^5*z3 - 
    564480*li4half*sinf*z3 - 23520*ln2^4*sinf*z3 + 1884960*ln2^3*z2*z3 - 
    987840*ln2^2*sinf*z2*z3 + 8391600*ln2*z2^2*z3 + 475776*sinf*z2^2*z3 - 
    6151320*ln2^2*z3^2 + 1542240*ln2*sinf*z3^2 - 5677560*z2*z3^2 - 
    2598960*ln2^3*z5 - 5538960*ln2^2*sinf*z5 + 1224720*ln2*z2*z5 + 
    1537200*sinf*z2*z5 + 15533280*z3*z5 - 26419995*ln2*z7 - 51101190*sinf*z7)/
   2257920, H[1, -1, -1, -1, 0, -1, -1, 1, 1] -> 
  (4032000*li4half^2 + 572544000*li8half - 76608000*li6half*ln2^2 - 
    25536000*li5half*ln2^3 + 1344000*li4half*ln2^4 + 169600*ln2^8 - 
    51408000*ln2^2*s6 + 94466925*s8a + 493416000*s8b + 70560000*s8c - 
    6048000*s8d - 8064000*li7half*sinf - 80640000*li6half*ln2*sinf - 
    32256000*li5half*ln2^2*sinf + 1344000*li4half*ln2^3*sinf + 
    214400*ln2^7*sinf - 41184000*ln2*s6*sinf + 10944000*s7a*sinf - 
    11232000*s7b*sinf + 76608000*li6half*z2 + 72576000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 - 840000*ln2^6*z2 - 4032000*s6*z2 + 
    40320000*li5half*sinf*z2 - 705600*ln2^5*sinf*z2 + 403200*li4half*z2^2 + 
    3511200*ln2^4*z2^2 + 7694400*ln2^3*sinf*z2^2 - 9626400*ln2^2*z2^3 + 
    19231200*ln2*sinf*z2^3 - 34840512*z2^4 - 123984000*li5half*z3 - 
    8064000*li4half*ln2*z3 + 462000*ln2^5*z3 - 2016000*li4half*sinf*z3 - 
    378000*ln2^4*sinf*z3 - 1680000*ln2^3*z2*z3 + 504000*ln2^2*sinf*z2*z3 - 
    76444200*ln2*z2^2*z3 + 4161600*sinf*z2^2*z3 - 12474000*ln2^2*z3^2 + 
    21933000*ln2*sinf*z3^2 - 58779000*z2*z3^2 - 2268000*ln2^3*z5 + 
    20034000*ln2^2*sinf*z5 - 210231000*ln2*z2*z5 + 33687000*sinf*z2*z5 - 
    56786625*z3*z5 - 110901375*sinf*z7)/8064000, 
 H[1, -1, -1, -1, 0, -1, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    101808000*ln2^2*s6 + 227557575*s8a + 2081016000*s8b + 203616000*s8c + 
    318528000*s8d + 104832000*ln2*s6*sinf - 104832000*s7a*sinf + 
    106848000*s7b*sinf - 818496000*li6half*z2 - 423360000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 - 905184000*s6*z2 - 
    112896000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*z2 - 
    235200*ln2^5*sinf*z2 + 96163200*li4half*z2^2 - 4519200*ln2^4*z2^2 - 
    3528000*ln2^3*sinf*z2^2 + 123732000*ln2^2*z2^3 + 29988000*ln2*sinf*z2^3 + 
    127250352*z2^4 - 248976000*li5half*z3 + 2074800*ln2^5*z3 + 
    7056000*li4half*sinf*z3 + 294000*ln2^4*sinf*z3 - 44268000*ln2^3*z2*z3 - 
    15876000*ln2^2*sinf*z2*z3 - 215371800*ln2*z2^2*z3 - 
    34776000*sinf*z2^2*z3 - 14521500*ln2^2*z3^2 - 102816000*ln2*sinf*z3^2 - 
    325363500*z2*z3^2 - 84672000*ln2^3*z5 - 332073000*ln2^2*sinf*z5 - 
    1019214000*ln2*z2*z5 - 489825000*sinf*z2*z5 + 799414875*z3*z5 + 
    959655375*sinf*z7)/56448000, H[1, -1, -1, -1, 0, -1, -1, -1, 1] -> 
  (1072512000*li7half*ln2 + 536256000*li6half*ln2^2 + 
    103488000*li5half*ln2^3 + 7056000*li4half*ln2^4 - 36400*ln2^8 + 
    59472000*ln2^2*s6 - 40320000*ln2*s7a - 54432000*ln2*s7b - 110388600*s8a - 
    1324512000*s8b - 24192000*s8c - 116928000*s8d + 1128960000*li7half*sinf + 
    564480000*li6half*ln2*sinf + 112896000*li5half*ln2^2*sinf + 
    9408000*li4half*ln2^3*sinf + 11200*ln2^7*sinf - 282240000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 117600*ln2^6*z2 + 
    304416000*s6*z2 - 23385600*li4half*z2^2 + 1848000*ln2^4*z2^2 + 
    3763200*ln2^3*sinf*z2^2 + 90468000*ln2^2*z2^3 + 129024000*ln2*sinf*z2^3 - 
    40393296*z2^4 + 262080000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    1890000*ln2^5*z3 + 20076000*ln2^3*z2*z3 + 125848800*ln2*z2^2*z3 - 
    24948000*ln2^2*z3^2 + 50778000*z2*z3^2 - 52479000*ln2^3*z5 - 
    112896000*ln2^2*sinf*z5 + 345807000*ln2*z2*z5 + 230895000*z3*z5 - 
    370526625*ln2*z7 - 1128960000*sinf*z7)/56448000, 
 H[1, -1, -1, -1, -1, 1, 1, 1, 1] -> 
  (4032000*li4half^2 + 32256000*li8half + 2688000*li5half*ln2^3 + 
    1344000*li4half*ln2^4 + 26000*ln2^8 - 1008000*ln2^2*s6 + 6014925*s8a + 
    61992000*s8b + 2016000*s8c + 6048000*s8d - 16128000*li7half*sinf + 
    4032000*li5half*ln2^2*sinf + 1344000*li4half*ln2^3*sinf + 
    24000*ln2^7*sinf + 4032000*ln2*s6*sinf - 4032000*s7a*sinf - 
    4032000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 179200*ln2^6*z2 - 
    16128000*s6*z2 - 67200*ln2^5*sinf*z2 - 2016000*li4half*z2^2 + 
    470400*ln2^4*z2^2 - 1735200*ln2^2*z2^3 - 2995200*ln2*sinf*z2^3 - 
    2465352*z2^4 - 11088000*li5half*z3 + 8064000*li4half*ln2*z3 + 
    361200*ln2^5*z3 - 2940000*ln2^3*z2*z3 - 10495800*ln2*z2^2*z3 - 
    604800*sinf*z2^2*z3 + 5764500*ln2^2*z3^2 - 1008000*ln2*sinf*z3^2 - 
    9355500*z2*z3^2 + 84000*ln2^3*z5 - 3780000*ln2^2*sinf*z5 - 
    14238000*ln2*z2*z5 - 8190000*sinf*z2*z5 + 19994625*z3*z5 + 
    28129500*sinf*z7)/8064000, H[1, -1, -1, -1, -1, 1, 1, 0, 1] -> 
  (8064000*li4half^2 - 96768000*li8half + 32256000*li6half*ln2^2 + 
    13440000*li5half*ln2^3 + 2688000*li4half*ln2^4 + 28400*ln2^8 - 
    2016000*ln2^2*s6 + 4658850*s8a - 73584000*s8b + 20160000*s8c - 
    20160000*s8d + 80640000*li7half*sinf + 64512000*li6half*ln2*sinf + 
    20160000*li5half*ln2^2*sinf + 2688000*li4half*ln2^3*sinf + 
    17600*ln2^7*sinf + 6048000*ln2*s6*sinf + 10080000*s7a*sinf - 
    2016000*s7b*sinf - 16128000*li6half*z2 - 8064000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 - 324800*ln2^6*z2 + 36288000*s6*z2 + 
    4032000*li5half*sinf*z2 - 67200*ln2^5*sinf*z2 - 10483200*li4half*z2^2 + 
    436800*ln2^4*z2^2 - 201600*ln2^3*sinf*z2^2 + 8798400*ln2^2*z2^3 + 
    5637600*ln2*sinf*z2^3 + 17516016*z2^4 + 32256000*li5half*z3 + 
    16128000*li4half*ln2*z3 + 436800*ln2^5*z3 + 42000*ln2^4*sinf*z3 - 
    5040000*ln2^3*z2*z3 - 1764000*ln2^2*sinf*z2*z3 - 3250800*ln2*z2^2*z3 + 
    1612800*sinf*z2^2*z3 - 8883000*ln2^2*z3^2 - 504000*ln2*sinf*z3^2 - 
    6867000*z2*z3^2 - 10332000*ln2^3*z5 - 3780000*ln2^2*sinf*z5 - 
    44604000*ln2*z2*z5 + 6426000*sinf*z2*z5 - 1464750*z3*z5 - 
    92822625*sinf*z7)/8064000, H[1, -1, -1, -1, -1, 1, 1, -1, 1] -> 
  (-282240000*li8half + 28224000*li6half*ln2^2 + 42000*ln2^8 - 
    20160000*ln2^2*s6 - 46445175*s8a - 315000000*s8b + 26208000*s8c - 
    68544000*s8d + 169344000*li7half*sinf + 56448000*li6half*ln2*sinf + 
    56000*ln2^7*sinf - 68544000*ln2*s6*sinf + 54432000*s7a*sinf + 
    40320000*s7b*sinf - 28224000*li6half*z2 - 470400*ln2^6*z2 + 
    165312000*s6*z2 - 470400*ln2^5*sinf*z2 - 13708800*li4half*z2^2 - 
    924000*ln2^4*z2^2 + 20916000*ln2^2*z2^3 + 28022400*ln2*sinf*z2^3 + 
    65680632*z2^4 + 137088000*li5half*z3 + 974400*ln2^5*z3 + 
    2058000*ln2^4*sinf*z3 + 7308000*ln2^3*z2*z3 + 51445800*ln2*z2^2*z3 - 
    7358400*sinf*z2^2*z3 - 43375500*ln2^2*z3^2 - 4284000*ln2*sinf*z3^2 + 
    29956500*z2*z3^2 + 8526000*ln2^3*z5 + 26460000*ln2^2*sinf*z5 - 
    91413000*ln2*z2*z5 - 117999000*sinf*z2*z5 - 211420125*z3*z5 - 
    112896000*ln2*z7 + 81285750*sinf*z7)/56448000, 
 H[1, -1, -1, -1, -1, 1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 32256000*li8half - 16128000*li6half*ln2^2 - 
    13440000*li5half*ln2^3 - 7392000*li4half*ln2^4 - 170200*ln2^8 - 
    3024000*ln2^2*s6 - 6014925*s8a - 61992000*s8b - 2016000*s8c - 
    6048000*s8d - 16128000*li7half*sinf - 32256000*li6half*ln2*sinf - 
    20160000*li5half*ln2^2*sinf - 6720000*li4half*ln2^3*sinf - 
    153600*ln2^7*sinf - 14112000*ln2*s6*sinf + 6048000*s7a*sinf + 
    10080000*s7b*sinf + 16128000*li6half*z2 + 16128000*li5half*ln2*z2 + 
    20160000*li4half*ln2^2*z2 + 1170400*ln2^6*z2 + 20160000*s6*z2 - 
    12096000*li5half*sinf*z2 - 8064000*li4half*ln2*sinf*z2 + 
    302400*ln2^5*sinf*z2 + 16531200*li4half*z2^2 - 1436400*ln2^4*z2^2 + 
    907200*ln2^3*sinf*z2^2 - 648000*ln2^2*z2^3 + 3146400*ln2*sinf*z2^3 - 
    652608*z2^4 + 36288000*li5half*z3 - 32256000*li4half*ln2*z3 - 
    2419200*ln2^5*z3 + 6048000*li4half*sinf*z3 - 714000*ln2^4*sinf*z3 + 
    9324000*ln2^3*z2*z3 - 5040000*ln2^2*sinf*z2*z3 + 23952600*ln2*z2^2*z3 - 
    5166000*sinf*z2^2*z3 - 13324500*ln2^2*z3^2 + 3528000*ln2*sinf*z3^2 + 
    15970500*z2*z3^2 + 7476000*ln2^3*z5 + 7308000*ln2^2*sinf*z5 + 
    14364000*ln2*z2*z5 - 2142000*sinf*z2*z5 - 70552125*z3*z5 + 
    48880125*sinf*z7)/8064000, H[1, -1, -1, -1, -1, 1, 0, 0, 1] -> 
  (-12096000*li4half^2 + 48384000*li8half - 4032000*li6half*ln2^2 - 
    2688000*li5half*ln2^3 - 2016000*li4half*ln2^4 - 45000*ln2^8 + 
    9072000*ln2^2*s6 - 2329425*s8a + 36792000*s8b - 10080000*s8c + 
    10080000*s8d - 16128000*li7half*sinf - 8064000*li6half*ln2*sinf - 
    4032000*li5half*ln2^2*sinf - 1344000*li4half*ln2^3*sinf - 
    30400*ln2^7*sinf + 8064000*ln2*s6*sinf - 10080000*s7b*sinf - 
    4032000*li6half*z2 - 14112000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 + 
    22400*ln2^6*z2 - 22176000*s6*z2 - 6048000*li5half*sinf*z2 - 
    6048000*li4half*ln2*sinf*z2 - 100800*ln2^5*sinf*z2 + 
    12902400*li4half*z2^2 + 672000*ln2^4*z2^2 + 504000*ln2^3*sinf*z2^2 - 
    6703200*ln2^2*z2^3 - 3952800*ln2*sinf*z2^3 - 9472248*z2^4 - 
    5544000*li5half*z3 - 8064000*li4half*ln2*z3 - 390600*ln2^5*z3 - 
    1512000*li4half*sinf*z3 - 189000*ln2^4*sinf*z3 - 924000*ln2^3*z2*z3 - 
    1260000*ln2^2*sinf*z2*z3 + 7950600*ln2*z2^2*z3 + 3301200*sinf*z2^2*z3 + 
    913500*ln2^2*z3^2 + 2016000*ln2*sinf*z3^2 + 1638000*z2*z3^2 - 
    2520000*ln2^3*z5 + 5985000*ln2^2*sinf*z5 + 34209000*ln2*z2*z5 + 
    29988000*sinf*z2*z5 + 1472625*z3*z5 - 27066375*sinf*z7)/4032000, 
 H[1, -1, -1, -1, -1, 1, 0, -1, 1] -> 
  (-197568000*li4half^2 + 282240000*li8half - 169344000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 56448000*li5half*ln2^3 - 
    37632000*li4half*ln2^4 - 870800*ln2^8 + 133056000*ln2^2*s6 - 
    56448000*ln2*s7a - 84672000*ln2*s7b + 46445175*s8a + 315000000*s8b - 
    26208000*s8c + 68544000*s8d - 508032000*li7half*sinf - 
    225792000*li6half*ln2*sinf - 84672000*li5half*ln2^2*sinf - 
    28224000*li4half*ln2^3*sinf - 683200*ln2^7*sinf + 110880000*ln2*s6*sinf + 
    16128000*s7a*sinf - 110880000*s7b*sinf + 112896000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 127008000*li4half*ln2^2*z2 + 6585600*ln2^6*z2 - 
    221760000*s6*z2 - 28224000*li5half*sinf*z2 - 28224000*li4half*ln2*sinf*
     z2 + 1411200*ln2^5*sinf*z2 + 166118400*li4half*z2^2 - 
    15540000*ln2^4*z2^2 - 6585600*ln2^3*sinf*z2^2 - 82706400*ln2^2*z2^3 - 
    83916000*ln2*sinf*z2^3 - 124063992*z2^4 - 122976000*li5half*z3 - 
    317520000*li4half*ln2*z3 - 13381200*ln2^5*z3 + 14112000*li4half*sinf*z3 - 
    882000*ln2^4*sinf*z3 + 59136000*ln2^3*z2*z3 - 15876000*ln2^2*sinf*z2*z3 + 
    104491800*ln2*z2^2*z3 + 22881600*sinf*z2^2*z3 - 72828000*ln2^2*z3^2 + 
    43533000*ln2*sinf*z3^2 - 5260500*z2*z3^2 + 20580000*ln2^3*z5 + 
    112896000*ln2^2*sinf*z5 + 338373000*ln2*z2*z5 + 357903000*sinf*z2*z5 + 
    176801625*z3*z5 - 44210250*ln2*z7 - 59842125*sinf*z7)/56448000, 
 H[1, -1, -1, -1, -1, 1, -1, 1, 1] -> 
  (-959616000*li8half + 197568000*li6half*ln2^2 + 56448000*li5half*ln2^3 - 
    210000*ln2^8 + 48384000*ln2^2*s6 - 56131425*s8a - 1265544000*s8b + 
    30240000*s8c - 157248000*s8d + 677376000*li7half*sinf + 
    395136000*li6half*ln2*sinf + 84672000*li5half*ln2^2*sinf - 
    280000*ln2^7*sinf + 40320000*ln2*s6*sinf + 86688000*s7a*sinf - 
    40320000*s7b*sinf - 197568000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    1646400*ln2^6*z2 + 314496000*s6*z2 + 1646400*ln2^5*sinf*z2 - 
    31449600*li4half*z2^2 - 5191200*ln2^4*z2^2 + 51861600*ln2^2*z2^3 + 
    57456000*ln2*sinf*z2^3 + 111286872*z2^4 + 335664000*li5half*z3 - 
    5619600*ln2^5*z3 - 4116000*ln2^4*sinf*z3 + 36204000*ln2^3*z2*z3 + 
    118956600*ln2*z2^2*z3 + 14414400*sinf*z2^2*z3 - 116266500*ln2^2*z3^2 + 
    11340000*ln2*sinf*z3^2 + 131449500*z2*z3^2 - 100842000*ln2^3*z5 - 
    28224000*ln2^2*sinf*z5 + 201663000*ln2*z2*z5 + 263529000*sinf*z2*z5 - 
    209073375*z3*z5 - 1063613250*sinf*z7)/56448000, 
 H[1, -1, -1, -1, -1, 1, -1, 0, 1] -> 
  (-254016000*li4half^2 + 733824000*li8half - 254016000*li6half*ln2^2 - 
    112896000*li5half*ln2^3 - 42336000*li4half*ln2^4 - 716800*ln2^8 + 
    85680000*ln2^2*s6 - 128658600*s8a + 245952000*s8b - 185472000*s8c + 
    86688000*s8d - 620928000*li7half*sinf - 508032000*li6half*ln2*sinf - 
    169344000*li5half*ln2^2*sinf - 28224000*li4half*ln2^3*sinf - 
    347200*ln2^7*sinf + 2016000*ln2*s6*sinf - 16128000*s7a*sinf - 
    30240000*s7b*sinf - 28224000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    2352000*ln2^6*z2 - 116928000*s6*z2 - 112896000*li5half*sinf*z2 - 
    84672000*li4half*ln2*sinf*z2 - 1411200*ln2^5*sinf*z2 + 
    203616000*li4half*z2^2 + 12952800*ln2^4*z2^2 + 15523200*ln2^3*sinf*z2^2 - 
    112795200*ln2^2*z2^3 - 47224800*ln2*sinf*z2^3 - 107356176*z2^4 + 
    151200000*li5half*z3 - 169344000*li4half*ln2*z3 - 10197600*ln2^5*z3 + 
    21168000*li4half*sinf*z3 - 1470000*ln2^4*sinf*z3 + 23184000*ln2^3*z2*z3 - 
    29988000*ln2^2*sinf*z2*z3 + 208000800*ln2*z2^2*z3 - 
    1713600*sinf*z2^2*z3 + 25200000*ln2^2*z3^2 + 34524000*ln2*sinf*z3^2 + 
    52668000*z2*z3^2 + 8526000*ln2^3*z5 + 26460000*ln2^2*sinf*z5 + 
    458955000*ln2*z2*z5 + 61047000*sinf*z2*z5 - 332529750*z3*z5 + 
    689920875*sinf*z7)/56448000, H[1, -1, -1, -1, -1, 1, -1, -1, 1] -> 
  (-2419200*li4half^2 + 32256000*li8half - 8064000*li6half*ln2^2 - 
    3225600*li5half*ln2^3 - 806400*li4half*ln2^4 - 13200*ln2^8 + 
    1008000*ln2^2*s6 - 288225*s8a + 12600000*s8b - 2016000*s8c + 
    2016000*s8d - 24192000*li7half*sinf - 16128000*li6half*ln2*sinf - 
    4838400*li5half*ln2^2*sinf - 806400*li4half*ln2^3*sinf - 
    11200*ln2^7*sinf + 8064000*li6half*z2 + 4838400*li5half*ln2*z2 + 
    2419200*li4half*ln2^2*z2 + 100800*ln2^6*z2 - 4032000*s6*z2 + 
    33600*ln2^5*sinf*z2 + 2338560*li4half*z2^2 - 94080*ln2^4*z2^2 - 
    2538720*ln2^2*z2^3 - 1843200*ln2*sinf*z2^3 - 5491368*z2^4 - 
    5241600*li5half*z3 - 4838400*li4half*ln2*z3 - 218400*ln2^5*z3 - 
    58800*ln2^4*sinf*z3 + 890400*ln2^3*z2*z3 + 859320*ln2*z2^2*z3 - 
    18900*ln2^2*z3^2 + 1291500*z2*z3^2 + 537600*ln2^3*z5 + 
    806400*ln2^2*sinf*z5 + 5241600*ln2*z2*z5 - 4106025*z3*z5 + 
    16128000*ln2*z7 + 24192000*sinf*z7)/1612800, 
 H[1, -1, -1, -1, -1, 0, 1, 1, 1] -> 
  (42336000*li4half^2 - 28224000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 112700*ln2^8 - 34272000*ln2^2*s6 + 46583775*s8a + 
    111888000*s8b + 54432000*s8c - 33264000*s8d - 56448000*li7half*sinf - 
    56448000*li6half*ln2*sinf - 14112000*li5half*ln2^2*sinf + 
    50400*ln2^7*sinf - 14112000*s7a*sinf + 28224000*li6half*z2 + 
    42336000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 803600*ln2^6*z2 + 
    63000000*s6*z2 + 28224000*li5half*sinf*z2 + 14112000*li4half*ln2*sinf*
     z2 + 117600*ln2^5*sinf*z2 - 3124800*li4half*z2^2 + 1104600*ln2^4*z2^2 - 
    588000*ln2^3*sinf*z2^2 + 9928800*ln2^2*z2^3 + 1713600*ln2*sinf*z2^3 + 
    12595824*z2^4 - 56952000*li5half*z3 + 1415400*ln2^5*z3 - 
    28224000*li4half*sinf*z3 - 7098000*ln2^3*z2*z3 + 
    7056000*ln2^2*sinf*z2*z3 - 53776800*ln2*z2^2*z3 + 11818800*sinf*z2^2*z3 - 
    4016250*ln2^2*z3^2 - 13891500*ln2*sinf*z3^2 - 42036750*z2*z3^2 + 
    1764000*ln2^3*z5 - 11025000*ln2^2*sinf*z5 - 179613000*ln2*z2*z5 - 
    14112000*sinf*z2*z5 + 40501125*z3*z5 + 17088750*sinf*z7)/28224000, 
 H[1, -1, -1, -1, -1, 0, 1, 0, 1] -> 
  (-2016000*li4half^2 + 64512000*li8half - 168000*li4half*ln2^4 - 
    1900*ln2^8 + 1008000*ln2^2*s6 + 11391975*s8a + 121968000*s8b - 
    2016000*s8c + 25200000*s8d - 16128000*li7half*sinf + 3200*ln2^7*sinf + 
    2016000*ln2*s6*sinf - 2016000*s7a*sinf + 2016000*s7b*sinf - 
    8064000*li6half*z2 - 6048000*li5half*ln2*z2 + 1008000*li4half*ln2^2*z2 + 
    36400*ln2^6*z2 - 64008000*s6*z2 - 2016000*li5half*sinf*z2 - 
    50400*ln2^5*sinf*z2 + 3729600*li4half*z2^2 - 1045800*ln2^4*z2^2 - 
    1024800*ln2^3*sinf*z2^2 - 924000*ln2^2*z2^3 - 2611200*ln2*sinf*z2^3 - 
    9273864*z2^4 - 35784000*li5half*z3 + 499800*ln2^5*z3 + 
    3528000*li4half*sinf*z3 + 399000*ln2^4*sinf*z3 - 966000*ln2^3*z2*z3 + 
    630000*ln2^2*sinf*z2*z3 - 11642400*ln2*z2^2*z3 - 2280600*sinf*z2^2*z3 + 
    4110750*ln2^2*z3^2 - 913500*ln2*sinf*z3^2 - 3512250*z2*z3^2 + 
    1722000*ln2^3*z5 - 1323000*ln2^2*sinf*z5 + 8568000*ln2*z2*z5 - 
    4347000*sinf*z2*z5 + 27003375*z3*z5 + 26656875*sinf*z7)/4032000, 
 H[1, -1, -1, -1, -1, 0, 1, -1, 1] -> 
  (84672000*li4half^2 + 1862784000*li8half + 564480000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    35280000*li4half*ln2^4 + 1178800*ln2^8 - 176400000*ln2^2*s6 + 
    58464000*ln2*s7a - 40320000*ln2*s7b + 252666225*s8a + 1934856000*s8b + 
    122976000*s8c + 159264000*s8d + 677376000*li7half*sinf + 
    112896000*li6half*ln2*sinf + 28224000*li5half*ln2^2*sinf + 
    37632000*li4half*ln2^3*sinf + 1355200*ln2^7*sinf - 
    129024000*ln2*s6*sinf + 16128000*s7a*sinf - 110880000*s7b*sinf - 
    56448000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 7212800*ln2^6*z2 - 403200000*s6*z2 - 
    28224000*li4half*ln2*sinf*z2 - 4233600*ln2^5*sinf*z2 - 
    48585600*li4half*z2^2 + 18144000*ln2^4*z2^2 + 29870400*ln2^3*sinf*z2^2 - 
    13860000*ln2^2*z2^3 + 70912800*ln2*sinf*z2^3 - 104448744*z2^4 - 
    255024000*li5half*z3 + 282240000*li4half*ln2*z3 + 15296400*ln2^5*z3 + 
    14112000*li4half*sinf*z3 + 2352000*ln2^4*sinf*z3 - 53004000*ln2^3*z2*z3 - 
    3528000*ln2^2*sinf*z2*z3 - 254809800*ln2*z2^2*z3 + 
    22881600*sinf*z2^2*z3 + 156775500*ln2^2*z3^2 + 130410000*ln2*sinf*z3^2 - 
    204466500*z2*z3^2 + 119511000*ln2^3*z5 + 158760000*ln2^2*sinf*z5 - 
    198450000*ln2*z2*z5 + 329679000*sinf*z2*z5 - 67780125*z3*z5 - 
    753810750*ln2*z7 - 1245250125*sinf*z7)/56448000, 
 H[1, -1, -1, -1, -1, 0, 0, 1, 1] -> 
  (14112000*li4half^2 - 282240000*li8half + 14112000*li6half*ln2^2 + 
    1176000*li4half*ln2^4 + 37100*ln2^8 + 34776000*ln2^2*s6 - 91652400*s8a - 
    511056000*s8b - 76608000*s8c - 15120000*s8d + 112896000*li7half*sinf + 
    28224000*li6half*ln2*sinf + 16800*ln2^7*sinf - 7056000*ln2*s6*sinf - 
    14112000*s7b*sinf - 14112000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 93744000*s6*z2 - 
    28224000*li5half*sinf*z2 + 117600*ln2^5*sinf*z2 - 17841600*li4half*z2^2 + 
    373800*ln2^4*z2^2 - 940800*ln2^3*sinf*z2^2 + 2175600*ln2^2*z2^3 + 
    3192000*ln2*sinf*z2^3 + 8135556*z2^4 + 90216000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 894600*ln2^5*z3 + 3528000*li4half*sinf*z3 + 
    735000*ln2^4*sinf*z3 + 3990000*ln2^3*z2*z3 + 6174000*ln2^2*sinf*z2*z3 + 
    68518800*ln2*z2^2*z3 + 3175200*sinf*z2^2*z3 + 22349250*ln2^2*z3^2 + 
    9040500*ln2*sinf*z3^2 + 51612750*z2*z3^2 + 6762000*ln2^3*z5 + 
    23814000*ln2^2*sinf*z5 + 212845500*ln2*z2*z5 + 49171500*sinf*z2*z5 + 
    21727125*z3*z5 - 154680750*sinf*z7)/14112000, 
 H[1, -1, -1, -1, -1, 0, 0, 0, 1] -> 
  (-84420*s8a - 483840*s8b - 161280*s8d - 120960*ln2*s6*sinf + 
    120960*s7a*sinf + 161280*li6half*z2 + 224*ln2^6*z2 + 362880*s6*z2 - 
    32256*li4half*z2^2 - 10752*ln2^4*z2^2 - 4704*ln2^3*sinf*z2^2 - 
    69408*ln2^2*z2^3 - 33984*ln2*sinf*z2^3 + 56304*z2^4 + 241920*li5half*z3 - 
    2016*ln2^5*z3 + 53760*ln2^3*z2*z3 + 20160*ln2^2*sinf*z2*z3 + 
    24192*ln2*z2^2*z3 + 2016*sinf*z2^2*z3 - 40320*ln2^2*z3^2 + 
    70560*ln2*sinf*z3^2 + 131040*z2*z3^2 + 53760*ln2^3*z5 + 
    197820*ln2^2*sinf*z5 + 161280*ln2*z2*z5 + 84420*sinf*z2*z5 - 
    744660*z3*z5 - 34965*sinf*z7)/80640, H[1, -1, -1, -1, -1, 0, 0, -1, 1] -> 
  (1241856000*li8half + 112896000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    70000*ln2^8 - 162288000*ln2^2*s6 + 110880000*ln2*s7a + 40320000*ln2*s7b + 
    237527325*s8a + 2164680000*s8b + 131040000*s8c + 235872000*s8d - 
    338688000*li7half*sinf - 112896000*li6half*ln2*sinf - 89600*ln2^7*sinf - 
    26208000*ln2*s6*sinf + 54432000*s7a*sinf + 40320000*s7b*sinf + 
    56448000*li6half*z2 + 862400*ln2^6*z2 - 641088000*s6*z2 - 
    28224000*li5half*sinf*z2 + 1176000*ln2^5*sinf*z2 + 
    47174400*li4half*z2^2 - 2973600*ln2^4*z2^2 - 3528000*ln2^3*sinf*z2^2 - 
    19538400*ln2^2*z2^3 - 50467200*ln2*sinf*z2^3 - 78710568*z2^4 - 
    478800000*li5half*z3 + 2108400*ln2^5*z3 - 2352000*ln2^4*sinf*z3 - 
    25788000*ln2^3*z2*z3 + 14112000*ln2^2*sinf*z2*z3 - 
    263806200*ln2*z2^2*z3 - 7358400*sinf*z2^2*z3 + 46084500*ln2^2*z3^2 - 
    23688000*ln2*sinf*z3^2 - 136867500*z2*z3^2 + 77763000*ln2^3*z5 + 
    27783000*ln2^2*sinf*z5 - 523467000*ln2*z2*z5 - 89775000*sinf*z2*z5 - 
    13804875*z3*z5 + 84372750*ln2*z7 + 589317750*sinf*z7)/56448000, 
 H[1, -1, -1, -1, -1, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2201472000*li8half + 225792000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 30576000*li4half*ln2^4 - 1122800*ln2^8 + 
    194544000*ln2^2*s6 - 306603675*s8a - 1820952000*s8b - 276192000*s8c + 
    50400000*s8d + 169344000*li7half*sinf + 282240000*li6half*ln2*sinf + 
    28224000*li5half*ln2^2*sinf - 37632000*li4half*ln2^3*sinf - 
    1444800*ln2^7*sinf + 157248000*ln2*s6*sinf - 16128000*s7a*sinf - 
    30240000*s7b*sinf - 225792000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 5958400*ln2^6*z2 - 44352000*s6*z2 - 
    141120000*li5half*sinf*z2 + 4233600*ln2^5*sinf*z2 + 
    11491200*li4half*z2^2 - 20512800*ln2^4*z2^2 - 35985600*ln2^3*sinf*z2^2 + 
    88552800*ln2^2*z2^3 - 56901600*ln2*sinf*z2^3 + 83382192*z2^4 + 
    273168000*li5half*z3 - 56448000*li4half*ln2*z3 - 3217200*ln2^5*z3 + 
    21168000*li4half*sinf*z3 + 2646000*ln2^4*sinf*z3 - 8988000*ln2^3*z2*z3 - 
    5292000*ln2^2*sinf*z2*z3 + 247678200*ln2*z2^2*z3 - 1713600*sinf*z2^2*z3 + 
    72796500*ln2^2*z3^2 - 29862000*ln2*sinf*z3^2 + 171202500*z2*z3^2 + 
    23814000*ln2^3*z5 + 49392000*ln2^2*sinf*z5 + 708183000*ln2*z2*z5 + 
    89271000*sinf*z2*z5 + 639552375*z3*z5 - 100351125*sinf*z7)/56448000, 
 H[1, -1, -1, -1, -1, 0, -1, 0, 1] -> 
  (903168000*li8half + 22400*ln2^8 + 59472000*ln2^2*s6 - 19824525*s8a + 
    642600000*s8b - 118944000*s8c + 133056000*s8d - 225792000*li7half*sinf + 
    44800*ln2^7*sinf - 86688000*ln2*s6*sinf + 86688000*s7a*sinf - 
    40320000*s7b*sinf + 366912000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    823200*ln2^6*z2 - 287280000*s6*z2 + 28224000*li5half*sinf*z2 - 
    1176000*ln2^5*sinf*z2 + 26611200*li4half*z2^2 - 11415600*ln2^4*z2^2 - 
    10584000*ln2^3*sinf*z2^2 - 117952800*ln2^2*z2^3 - 
    72105600*ln2*sinf*z2^3 - 140054304*z2^4 - 273168000*li5half*z3 + 
    6039600*ln2^5*z3 + 4704000*ln2^4*sinf*z3 + 14868000*ln2^3*z2*z3 + 
    28224000*ln2^2*sinf*z2*z3 - 25061400*ln2*z2^2*z3 + 
    14414400*sinf*z2^2*z3 + 44950500*ln2^2*z3^2 + 51912000*ln2*sinf*z3^2 + 
    174982500*z2*z3^2 + 103488000*ln2^3*z5 + 278271000*ln2^2*sinf*z5 + 
    540288000*ln2*z2*z5 + 235305000*sinf*z2*z5 - 532720125*z3*z5 - 
    160445250*sinf*z7)/56448000, H[1, -1, -1, -1, -1, 0, -1, -1, 1] -> 
  (112896000*li8half - 338688000*li7half*ln2 - 112896000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 8400*ln2^8 - 23184000*ln2^2*s6 + 
    27216000*ln2*s7a + 20160000*ln2*s7b + 64530900*s8a + 754488000*s8b + 
    6048000*s8c + 99792000*s8d - 423360000*li7half*sinf - 
    141120000*li6half*ln2*sinf - 14112000*li5half*ln2^2*sinf + 
    5600*ln2^7*sinf + 70560000*li6half*z2 + 14112000*li5half*ln2*z2 + 
    58800*ln2^6*z2 - 252504000*s6*z2 + 19958400*li4half*z2^2 - 
    5195400*ln2^4*z2^2 - 5644800*ln2^3*sinf*z2^2 - 42134400*ln2^2*z2^3 - 
    64512000*ln2*sinf*z2^3 - 533556*z2^4 - 206640000*li5half*z3 + 
    2662800*ln2^5*z3 + 1176000*ln2^4*sinf*z3 - 19572000*ln2^3*z2*z3 - 
    89397000*ln2*z2^2*z3 + 38461500*ln2^2*z3^2 - 30334500*z2*z3^2 + 
    63283500*ln2^3*z5 + 84672000*ln2^2*sinf*z5 - 161815500*ln2*z2*z5 + 
    16695000*z3*z5 + 181762875*ln2*z7 + 423360000*sinf*z7)/28224000, 
 H[1, -1, -1, -1, -1, -1, 1, 1, 1] -> 
  (4032000*li8half - 806400*li6half*ln2^2 - 268800*li5half*ln2^3 + 
    1360*ln2^8 + 184275*s8a + 4939200*s8b - 403200*s8c + 806400*s8d - 
    2419200*li7half*sinf - 1612800*li6half*ln2*sinf - 
    403200*li5half*ln2^2*sinf + 1760*ln2^7*sinf - 403200*s7a*sinf + 
    806400*li6half*z2 + 403200*li5half*ln2*z2 - 11200*ln2^6*z2 - 
    1612800*s6*z2 - 10080*ln2^5*sinf*z2 + 161280*li4half*z2^2 + 
    10080*ln2^4*z2^2 - 226080*ln2^2*z2^3 - 184320*ln2*sinf*z2^3 - 
    636552*z2^4 - 1713600*li5half*z3 + 44520*ln2^5*z3 + 29400*ln2^4*sinf*z3 - 
    201600*ln2^3*z2*z3 - 481320*ln2*z2^2*z3 - 20160*sinf*z2^2*z3 + 
    661500*ln2^2*z3^2 - 497700*z2*z3^2 + 394800*ln2^3*z5 + 12600*ln2*z2*z5 - 
    415800*sinf*z2*z5 + 1730925*z3*z5 + 2806650*sinf*z7)/806400, 
 H[1, -1, -1, -1, -1, -1, 1, 0, 1] -> 
  (2016000*li4half^2 - 4032000*li8half + 1209600*li6half*ln2^2 + 
    806400*li5half*ln2^3 + 470400*li4half*ln2^4 + 10960*ln2^8 - 
    403200*ln2^2*s6 - 184275*s8a - 4939200*s8b + 403200*s8c - 806400*s8d + 
    3225600*li7half*sinf + 2419200*li6half*ln2*sinf + 
    1209600*li5half*ln2^2*sinf + 403200*li4half*ln2^3*sinf + 
    9440*ln2^7*sinf - 403200*ln2*s6*sinf + 403200*s7b*sinf - 
    403200*li6half*z2 - 806400*li4half*ln2^2*z2 - 60480*ln2^6*z2 + 
    2016000*s6*z2 + 403200*li5half*sinf*z2 + 403200*li4half*ln2*sinf*z2 - 
    20160*ln2^5*sinf*z2 - 1693440*li4half*z2^2 + 43680*ln2^4*z2^2 - 
    13440*ln2^3*sinf*z2^2 + 447840*ln2^2*z2^3 + 254880*ln2*sinf*z2^3 + 
    903816*z2^4 + 604800*li5half*z3 + 2419200*li4half*ln2*z3 + 
    139440*ln2^5*z3 - 100800*li4half*sinf*z3 + 50400*ln2^4*sinf*z3 - 
    302400*ln2^3*z2*z3 + 201600*ln2^2*sinf*z2*z3 - 859320*ln2*z2^2*z3 - 
    60480*sinf*z2^2*z3 + 497700*ln2^2*z3^2 - 201600*ln2*sinf*z3^2 + 
    296100*z2*z3^2 - 8400*ln2^3*z5 - 403200*ln2^2*sinf*z5 - 
    793800*ln2*z2*z5 - 1197000*sinf*z2*z5 - 426825*z3*z5 - 1800225*sinf*z7)/
   806400, H[1, -1, -1, -1, -1, -1, 1, -1, 1] -> 
  (6048000*li4half^2 - 32256000*li8half + 10080000*li6half*ln2^2 + 
    5376000*li5half*ln2^3 + 2016000*li4half*ln2^4 + 41200*ln2^8 - 
    1008000*ln2^2*s6 + 288225*s8a - 12600000*s8b + 2016000*s8c - 
    2016000*s8d + 24192000*li7half*sinf + 20160000*li6half*ln2*sinf + 
    8064000*li5half*ln2^2*sinf + 2016000*li4half*ln2^3*sinf + 
    39200*ln2^7*sinf - 10080000*li6half*z2 - 8064000*li5half*ln2*z2 - 
    6048000*li4half*ln2^2*z2 - 313600*ln2^6*z2 + 4032000*s6*z2 - 
    151200*ln2^5*sinf*z2 - 5241600*li4half*z2^2 + 520800*ln2^4*z2^2 + 
    2642400*ln2^2*z2^3 + 921600*ln2*sinf*z2^3 + 6532776*z2^4 + 
    6048000*li5half*z3 + 12096000*li4half*ln2*z3 + 655200*ln2^5*z3 + 
    294000*ln2^4*sinf*z3 - 3108000*ln2^3*z2*z3 - 3439800*ln2*z2^2*z3 + 
    3244500*ln2^2*z3^2 - 1291500*z2*z3^2 - 672000*ln2^3*z5 - 
    4032000*ln2*z2*z5 + 3299625*z3*z5 - 16128000*ln2*z7 - 24192000*sinf*z7)/
   4032000, H[1, -1, -1, -1, -1, -1, 0, 1, 1] -> 
  (-2016000*li4half^2 + 36288000*li8half - 2016000*li6half*ln2^2 - 
    168000*li4half*ln2^4 - 5400*ln2^8 - 4032000*ln2^2*s6 + 8290800*s8a + 
    46368000*s8b + 8064000*s8c - 12096000*li7half*sinf - 
    4032000*li6half*ln2*sinf - 3200*ln2^7*sinf + 2016000*s7b*sinf + 
    6048000*li6half*z2 + 2016000*li5half*ln2*z2 + 1008000*li4half*ln2^2*z2 + 
    78400*ln2^6*z2 - 4032000*s6*z2 + 2016000*li5half*sinf*z2 + 
    50400*ln2^5*sinf*z2 + 2116800*li4half*z2^2 - 67200*ln2^4*z2^2 + 
    218400*ln2^3*sinf*z2^2 - 1641600*ln2^2*z2^3 - 338400*ln2*sinf*z2^3 - 
    1748592*z2^4 - 6552000*li5half*z3 - 4032000*li4half*ln2*z3 - 
    315000*ln2^5*z3 - 504000*li4half*sinf*z3 - 273000*ln2^4*sinf*z3 + 
    1638000*ln2^3*z2*z3 + 126000*ln2^2*sinf*z2*z3 - 4788000*ln2*z2^2*z3 - 
    302400*sinf*z2^2*z3 - 4929750*ln2^2*z3^2 - 1543500*ln2*sinf*z3^2 - 
    4646250*z2*z3^2 - 1134000*ln2^3*z5 - 3654000*ln2^2*sinf*z5 - 
    18459000*ln2*z2*z5 - 5985000*sinf*z2*z5 - 10001250*z3*z5 + 
    19222875*sinf*z7)/4032000, H[1, -1, -1, -1, -1, -1, 0, 0, 1] -> 
  (-4032000*li8half - 100*ln2^8 - 422100*s8a - 5443200*s8b - 806400*s8d + 
    806400*li7half*sinf - 160*ln2^7*sinf + 201600*ln2*s6*sinf - 
    201600*s7a*sinf - 403200*li6half*z2 + 2240*ln2^6*z2 + 2016000*s6*z2 + 
    3360*ln2^5*sinf*z2 - 161280*li4half*z2^2 + 55440*ln2^4*z2^2 + 
    50400*ln2^3*sinf*z2^2 + 252000*ln2^2*z2^3 + 218880*ln2*sinf*z2^3 + 
    378864*z2^4 + 1612800*li5half*z3 - 26880*ln2^5*z3 - 16800*ln2^4*sinf*z3 - 
    100800*ln2^2*sinf*z2*z3 + 584640*ln2*z2^2*z3 - 10080*sinf*z2^2*z3 - 
    100800*ln2^2*z3^2 - 50400*ln2*sinf*z3^2 - 100800*z2*z3^2 - 
    268800*ln2^3*z5 - 598500*ln2^2*sinf*z5 - 201600*ln2*z2*z5 - 
    207900*sinf*z2*z5 + 774900*z3*z5 - 612675*sinf*z7)/403200, 
 H[1, -1, -1, -1, -1, -1, 0, -1, 1] -> 
  (-806400*li8half + 1209600*li7half*ln2 + 201600*li6half*ln2^2 + 20*ln2^8 + 
    201600*ln2^2*s6 - 201600*ln2*s7a - 633150*s8a - 7257600*s8b - 
    1209600*s8d + 2419200*li7half*sinf + 403200*li6half*ln2*sinf + 
    80*ln2^7*sinf + 2800*ln2^6*z2 + 3024000*s6*z2 + 3360*ln2^5*sinf*z2 - 
    241920*li4half*z2^2 + 45360*ln2^4*z2^2 + 80640*ln2^3*sinf*z2^2 + 
    72000*ln2^2*z2^3 + 460800*ln2*sinf*z2^3 + 27432*z2^4 + 
    2419200*li5half*z3 - 47040*ln2^5*z3 - 33600*ln2^4*sinf*z3 + 
    302400*ln2^3*z2*z3 + 957600*ln2*z2^2*z3 - 655200*ln2^2*z3^2 + 
    302400*z2*z3^2 - 732900*ln2^3*z5 - 806400*ln2^2*sinf*z5 + 
    1001700*ln2*z2*z5 - 1275750*z3*z5 + 596925*ln2*z7 - 2419200*sinf*z7)/
   403200, H[1, -1, -1, -1, -1, -1, -1, 1, 1] -> 
  (-50400*li4half^2 - 50400*li6half*ln2^2 - 33600*li5half*ln2^3 - 
    16800*li4half*ln2^4 - 420*ln2^8 - 100800*li7half*sinf - 
    100800*li6half*ln2*sinf - 50400*li5half*ln2^2*sinf - 
    16800*li4half*ln2^3*sinf - 420*ln2^7*sinf + 50400*li6half*z2 + 
    50400*li5half*ln2*z2 + 50400*li4half*ln2^2*z2 + 3220*ln2^6*z2 + 
    1680*ln2^5*sinf*z2 + 40320*li4half*z2^2 - 2940*ln2^4*z2^2 + 
    1440*ln2^2*z2^3 - 19584*z2^4 - 12600*li5half*z3 - 100800*li4half*ln2*z3 - 
    7875*ln2^5*z3 - 3675*ln2^4*sinf*z3 + 31500*ln2^3*z2*z3 + 
    35280*ln2*z2^2*z3 - 44100*ln2^2*z3^2 - 16800*ln2^3*z5 + 12600*z3*z5 + 
    100800*sinf*z7)/100800, H[1, -1, -1, -1, -1, -1, -1, 0, 1] -> 
  (403200*li8half + 10*ln2^8 + 105525*s8a + 1209600*s8b + 201600*s8d - 
    201600*li7half*sinf + 40*ln2^7*sinf - 1400*ln2^6*z2 - 504000*s6*z2 - 
    1680*ln2^5*sinf*z2 + 40320*li4half*z2^2 - 5880*ln2^4*z2^2 - 
    13440*ln2^3*sinf*z2^2 + 1440*ln2^2*z2^3 - 46080*ln2*sinf*z2^3 - 
    41436*z2^4 - 403200*li5half*z3 + 10080*ln2^5*z3 + 8400*ln2^4*sinf*z3 - 
    67200*ln2^3*z2*z3 - 161280*ln2*z2^2*z3 + 100800*ln2^2*z3^2 - 
    50400*z2*z3^2 + 67200*ln2^3*z5 + 100800*ln2^2*sinf*z5 - 
    201600*ln2*z2*z5 + 212625*z3*z5 + 201600*sinf*z7)/201600, 
 H[1, -1, -1, -1, -1, -1, -1, -1, 1] -> 
  (25200*li8half + 5*ln2^8 + 5*ln2^7*sinf - 35*ln2^6*z2 - 420*ln2^4*z2^2 - 
    2880*ln2^2*z2^3 - 3456*z2^4 + 210*ln2^5*z3 + 4200*ln2^3*z5 + 
    25200*ln2*z7)/25200, H[0, 1, 1, 1, 1, 1, 1, 1, 1] -> (24*z2^4)/175, 
 H[0, 1, 1, 1, 1, 1, 1, 0, 1] -> (-54*z2^4 + 175*z3*z5)/175, 
 H[0, 1, 1, 1, 1, 1, 1, -1, 1] -> (2016000*li8half + 403200*li7half*ln2 - 
    30*ln2^8 + 105525*s8a + 1209600*s8b + 201600*s8d - 403200*li6half*z2 + 
    560*ln2^6*z2 - 504000*s6*z2 - 120960*li4half*z2^2 + 2520*ln2^4*z2^2 + 
    36000*ln2^2*z2^3 - 184284*z2^4 - 50400*z2*z3^2 + 162225*z3*z5)/403200, 
 H[0, 1, 1, 1, 1, 1, 0, 1, 1] -> (2*(175*s8a + 163*z2^4 - 875*z3*z5))/875, 
 H[0, 1, 1, 1, 1, 1, 0, 0, 1] -> (-100*s8a + 94*z2^4 + 125*z2*z3^2 - 
    500*z3*z5)/250, H[0, 1, 1, 1, 1, 1, 0, -1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 1008000*ln2^2*s6 + 
    2016000*ln2*s7a + 2016000*ln2*s7b - 1746675*s8a + 12600000*s8b - 
    2016000*s8c + 2016000*s8d + 6048000*li6half*z2 + 6048000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 42000*ln2^6*z2 - 4032000*s6*z2 + 
    201600*li4half*z2^2 - 243600*ln2^4*z2^2 + 352800*ln2^2*z2^3 + 
    1149552*z2^4 - 4032000*li5half*z3 + 3528000*li4half*ln2*z3 + 
    180600*ln2^5*z3 - 336000*ln2^3*z2*z3 - 1171800*ln2*z2^2*z3 + 
    2803500*ln2^2*z3^2 + 2835000*z2*z3^2 + 126000*ln2*z2*z5 - 
    15001875*z3*z5 - 10938375*ln2*z7)/4032000, 
 H[0, 1, 1, 1, 1, 1, -1, 1, 1] -> 
  (-122304000*li8half + 4704000*li6half*ln2^2 + 3500*ln2^8 - 
    3360000*ln2^2*s6 + 3785775*s8a - 31920000*s8b + 6720000*s8c - 
    13776000*s8d + 51744000*li6half*z2 - 58800*ln2^6*z2 + 31080000*s6*z2 + 
    8534400*li4half*z2^2 - 144200*ln2^4*z2^2 + 588000*ln2^2*z2^3 + 
    7595844*z2^4 - 10080000*li5half*z3 + 84000*ln2^5*z3 - 
    840000*ln2^3*z2*z3 - 7434000*ln2*z2^2*z3 - 945000*ln2^2*z3^2 - 
    2541000*z2*z3^2 - 20160000*ln2*z2*z5 - 7867125*z3*z5)/9408000, 
 H[0, 1, 1, 1, 1, 1, -1, 0, 1] -> (112896000*li8half + 2800*ln2^8 + 
    10080000*ln2^2*s6 - 33517575*s8a - 144144000*s8b - 20160000*s8c - 
    1008000*s8d - 70560000*li6half*z2 - 176400*ln2^6*z2 + 26712000*s6*z2 - 
    19958400*li4half*z2^2 - 919800*ln2^4*z2^2 - 4485600*ln2^2*z2^3 - 
    54612*z2^4 + 30240000*li5half*z3 - 252000*ln2^5*z3 + 
    2520000*ln2^3*z2*z3 + 22302000*ln2*z2^2*z3 + 2835000*ln2^2*z3^2 + 
    25263000*z2*z3^2 + 60480000*ln2*z2*z5 - 24577875*z3*z5)/28224000, 
 H[0, 1, 1, 1, 1, 1, -1, -1, 1] -> 
  (-112896000*li8half - 84672000*li7half*ln2 - 14112000*li6half*ln2^2 - 
    5600*ln2^8 - 4032000*ln2^2*s6 + 14112000*ln2*s7a - 18744075*s8a - 
    17136000*s8b - 20160000*s8c + 27216000*s8d - 42336000*li6half*z2 + 
    254800*ln2^6*z2 - 72072000*s6*z2 + 5443200*li4half*z2^2 + 
    1432200*ln2^4*z2^2 + 2872800*ln2^2*z2^3 + 8901468*z2^4 - 
    26208000*li5half*z3 + 218400*ln2^5*z3 + 4872000*ln2^3*z2*z3 + 
    10306800*ln2*z2^2*z3 + 20475000*ln2^2*z3^2 + 28791000*z2*z3^2 + 
    13671000*ln2^3*z5 + 103257000*ln2*z2*z5 + 11363625*z3*z5 - 
    41784750*ln2*z7)/28224000, H[0, 1, 1, 1, 1, 0, 1, 1, 1] -> -s8a + z3*z5, 
 H[0, 1, 1, 1, 1, 0, 1, 0, 1] -> (1575*s8a - 3128*z2^4 - 5250*z2*z3^2 + 
    21000*z3*z5)/5250, H[0, 1, 1, 1, 1, 0, 1, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    2016000*ln2^2*s6 - 3360000*ln2*s7a - 3360000*ln2*s7b + 1724100*s8a - 
    6720000*s8b + 2688000*s8c - 2688000*s8d - 20160000*li6half*z2 - 
    16128000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 61600*ln2^6*z2 - 
    1344000*s6*z2 + 4166400*li4half*z2^2 + 509600*ln2^4*z2^2 - 
    1696800*ln2^2*z2^3 + 1300416*z2^4 + 5376000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 338800*ln2^5*z3 + 1036000*ln2^3*z2*z3 + 
    2637600*ln2*z2^2*z3 - 4578000*ln2^2*z3^2 - 1260000*z2*z3^2 + 
    1806000*ln2*z2*z5 + 6394500*z3*z5 + 18230625*ln2*z7)/2688000, 
 H[0, 1, 1, 1, 1, 0, 0, 1, 1] -> (210*s8a - 142*z2^4 - 210*z2*z3^2 + 
    1155*z3*z5)/210, H[0, 1, 1, 1, 1, 0, 0, 0, 1] -> 
  (-300*s8a + 167*z2^4 + 1000*z2*z3^2 - 3500*z3*z5)/1000, 
 H[0, 1, 1, 1, 1, 0, 0, -1, 1] -> (2016000*li4half^2 + 168000*li4half*ln2^4 + 
    3500*ln2^8 - 1008000*ln2^2*s6 + 2016000*ln2*s7a + 2016000*ln2*s7b - 
    1293075*s8a + 5040000*s8b - 2016000*s8c + 2016000*s8d + 
    6048000*li6half*z2 + 6048000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 
    42000*ln2^6*z2 - 5544000*s6*z2 + 201600*li4half*z2^2 - 
    243600*ln2^4*z2^2 + 352800*ln2^2*z2^3 - 1626312*z2^4 - 
    4032000*li5half*z3 + 3528000*li4half*ln2*z3 + 180600*ln2^5*z3 - 
    336000*ln2^3*z2*z3 - 1171800*ln2*z2^2*z3 + 2803500*ln2^2*z3^2 + 
    3213000*z2*z3^2 + 3055500*ln2*z2*z5 - 3630375*z3*z5 + 4063500*ln2*z7)/
   2016000, H[0, 1, 1, 1, 1, 0, -1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 336000*ln2^2*s6 + 
    662025*s8a - 14280000*s8b + 672000*s8c - 672000*s8d - 
    4032000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 50400*ln2^6*z2 + 
    8064000*s6*z2 - 1008000*li4half*z2^2 + 378000*ln2^4*z2^2 + 
    235200*ln2^2*z2^3 - 1281456*z2^4 + 8400000*li5half*z3 - 70000*ln2^5*z3 - 
    1064000*ln2^3*z2*z3 + 2373000*ln2*z2^2*z3 - 609000*ln2^2*z3^2 - 
    5523000*z2*z3^2 - 2016000*ln2*z2*z5 + 17117625*z3*z5)/2688000, 
 H[0, 1, 1, 1, 1, 0, -1, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 + 1066275*s8a - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    5342400*li4half*z2^2 + 281400*ln2^4*z2^2 + 1335600*ln2^2*z2^3 + 
    986604*z2^4 - 14112000*li5half*z3 + 117600*ln2^5*z3 - 
    1176000*ln2^3*z2*z3 - 4674600*ln2*z2^2*z3 + 834750*z2*z3^2 + 
    6969375*z3*z5)/4032000, H[0, 1, 1, 1, 1, 0, -1, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    5040000*ln2^2*s6 - 10080000*ln2*s7a - 10080000*ln2*s7b + 5564475*s8a - 
    2520000*s8b + 10080000*s8c - 10080000*s8d + 24192000*li6half*z2 + 
    24192000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 420000*ln2^6*z2 + 
    26208000*s6*z2 + 1411200*li4half*z2^2 - 1705200*ln2^4*z2^2 - 
    2368800*ln2^2*z2^3 - 349344*z2^4 + 13104000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 697200*ln2^5*z3 + 8148000*ln2^3*z2*z3 + 
    7975800*ln2*z2^2*z3 - 12474000*ln2^2*z3^2 - 8064000*z2*z3^2 - 
    12348000*ln2*z2*z5 - 13033125*z3*z5 - 65323125*ln2*z7)/8064000, 
 H[0, 1, 1, 1, 1, -1, 1, 1, 1] -> 
  (1411200000*li8half + 9408000*li5half*ln2^3 - 43400*ln2^8 + 
    47376000*ln2^2*s6 - 103056975*s8a - 36792000*s8b - 94752000*s8c + 
    94752000*s8d - 846720000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    627200*ln2^6*z2 - 189504000*s6*z2 - 48787200*li4half*z2^2 + 
    201600*ln2^4*z2^2 - 16077600*ln2^2*z2^3 - 27417816*z2^4 + 
    142128000*li5half*z3 - 1184400*ln2^5*z3 + 11844000*ln2^3*z2*z3 + 
    104819400*ln2*z2^2*z3 + 13324500*ln2^2*z3^2 + 60700500*z2*z3^2 + 
    284256000*ln2*z2*z5 - 60330375*z3*z5)/56448000, 
 H[0, 1, 1, 1, 1, -1, 1, 0, 1] -> (-564480000*li8half - 14000*ln2^8 + 
    26208000*ln2^2*s6 - 48505275*s8a - 287280000*s8b - 52416000*s8c + 
    3024000*s8d + 254016000*li6half*z2 + 14112000*li5half*ln2*z2 + 
    627200*ln2^6*z2 + 25704000*s6*z2 - 7862400*li4half*z2^2 + 
    1583400*ln2^4*z2^2 + 1915200*ln2^2*z2^3 - 17667684*z2^4 + 
    78624000*li5half*z3 - 655200*ln2^5*z3 + 6552000*ln2^3*z2*z3 + 
    57985200*ln2*z2^2*z3 + 7371000*ln2^2*z3^2 + 18585000*z2*z3^2 + 
    157248000*ln2*z2*z5 + 83876625*z3*z5)/28224000, 
 H[0, 1, 1, 1, 1, -1, 1, -1, 1] -> (-11289600*li8half + 3386880*li7half*ln2 - 
    188160*li5half*ln2^3 + 616*ln2^8 + 2661120*ln2^2*s6 - 1733760*ln2*s7a + 
    806400*ln2*s7b - 4086495*s8a - 32679360*s8b - 1854720*s8c - 4919040*s8d + 
    5080320*li6half*z2 - 1128960*li5half*ln2*z2 - 14896*ln2^6*z2 + 
    15765120*s6*z2 - 983808*li4half*z2^2 - 22176*ln2^4*z2^2 - 
    266112*ln2^2*z2^3 + 492840*z2^4 + 7297920*li5half*z3 - 60816*ln2^5*z3 + 
    43680*ln2^3*z2*z3 + 2779560*ln2*z2^2*z3 - 1906380*ln2^2*z3^2 + 
    941220*z2*z3^2 - 2460780*ln2^3*z5 - 3657780*ln2*z2*z5 - 2468655*z3*z5 + 
    15627465*ln2*z7)/1128960, H[0, 1, 1, 1, 1, -1, 0, 1, 1] -> 
  (-37968000*ln2^2*s6 + 120498525*s8a + 596568000*s8b + 75936000*s8c + 
    22848000*s8d + 169344000*li6half*z2 + 18816000*li5half*ln2*z2 + 
    78400*ln2^6*z2 - 137424000*s6*z2 + 21504000*li4half*z2^2 - 
    770000*ln2^4*z2^2 + 3040800*ln2^2*z2^3 - 18926496*z2^4 - 
    113904000*li5half*z3 + 949200*ln2^5*z3 - 9492000*ln2^3*z2*z3 - 
    84004200*ln2*z2^2*z3 - 10678500*ln2^2*z3^2 - 73930500*z2*z3^2 - 
    227808000*ln2*z2*z5 + 76096125*z3*z5)/18816000, 
 H[0, 1, 1, 1, 1, -1, 0, 0, 1] -> (1008000*ln2^2*s6 - 9420075*s8a - 
    61992000*s8b - 2016000*s8c - 8064000*s8d - 8064000*li6half*z2 - 
    11200*ln2^6*z2 + 29232000*s6*z2 - 3628800*li4half*z2^2 + 
    394800*ln2^4*z2^2 + 1159200*ln2^2*z2^3 + 4249008*z2^4 + 
    3024000*li5half*z3 - 25200*ln2^5*z3 + 252000*ln2^3*z2*z3 + 
    2230200*ln2*z2^2*z3 + 283500*ln2^2*z3^2 + 5827500*z2*z3^2 + 
    6048000*ln2*z2*z5 - 10654875*z3*z5)/4032000, 
 H[0, 1, 1, 1, 1, -1, 0, -1, 1] -> (42336000*li4half^2 - 1128960000*li8half - 
    225792000*li7half*ln2 + 3528000*li4half*ln2^4 + 90300*ln2^8 - 
    25200000*ln2^2*s6 + 57456000*ln2*s7a + 22176000*ln2*s7b - 117767475*s8a - 
    910728000*s8b - 64512000*s8c - 48384000*s8d + 183456000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1430800*ln2^6*z2 + 
    181440000*s6*z2 - 1915200*li4half*z2^2 + 5682600*ln2^4*z2^2 + 
    14162400*ln2^2*z2^3 + 43490844*z2^4 - 51408000*li5half*z3 + 
    74088000*li4half*ln2*z3 + 3515400*ln2^5*z3 - 4284000*ln2^3*z2*z3 + 
    5720400*ln2*z2^2*z3 + 80892000*ln2^2*z3^2 + 89066250*z2*z3^2 + 
    34177500*ln2^3*z5 + 334561500*ln2*z2*z5 + 199324125*z3*z5 + 
    163264500*ln2*z7)/28224000, H[0, 1, 1, 1, 1, -1, -1, 1, 1] -> 
  (254016000*li8half - 21168000*li6half*ln2^2 - 2352000*li5half*ln2^3 - 
    3500*ln2^8 - 39816000*ln2^2*s6 + 117490275*s8a + 611352000*s8b + 
    86688000*s8c + 26208000*s8d + 63504000*li6half*z2 + 
    21168000*li5half*ln2*z2 - 284200*ln2^6*z2 - 108864000*s6*z2 + 
    5241600*li4half*z2^2 - 781200*ln2^4*z2^2 + 2368800*ln2^2*z2^3 - 
    17934696*z2^4 - 73584000*li5half*z3 + 613200*ln2^5*z3 - 
    16716000*ln2^3*z2*z3 - 77200200*ln2*z2^2*z3 - 16600500*ln2^2*z3^2 - 
    99193500*z2*z3^2 - 281232000*ln2*z2*z5 + 76584375*z3*z5)/14112000, 
 H[0, 1, 1, 1, 1, -1, -1, 0, 1] -> (903168000*li8half + 22400*ln2^8 + 
    73584000*ln2^2*s6 - 92611575*s8a + 113400000*s8b - 147168000*s8c + 
    133056000*s8d - 536256000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    1136800*ln2^6*z2 - 357840000*s6*z2 - 18547200*li4half*z2^2 - 
    3536400*ln2^4*z2^2 - 10130400*ln2^2*z2^3 - 28400832*z2^4 - 
    5040000*li5half*z3 + 42000*ln2^5*z3 - 420000*ln2^3*z2*z3 + 
    88011000*ln2*z2^2*z3 + 20695500*ln2^2*z3^2 + 171895500*z2*z3^2 + 
    441504000*ln2*z2*z5 - 275286375*z3*z5)/56448000, 
 H[0, 1, 1, 1, 1, -1, -1, -1, 1] -> 
  (-47416320*li8half - 2257920*li7half*ln2 + 3386880*li6half*ln2^2 + 
    376320*li5half*ln2^3 + 840*ln2^8 + 3669120*ln2^2*s6 - 1048320*ln2*s7a - 
    1612800*ln2*s7b - 11821635*s8a - 81789120*s8b - 6370560*s8c - 
    8305920*s8d + 2257920*li6half*z2 + 34496*ln2^6*z2 + 24514560*s6*z2 - 
    758016*li4half*z2^2 + 147168*ln2^4*z2^2 - 679392*ln2^2*z2^3 + 
    3318264*z2^4 + 14071680*li5half*z3 - 117264*ln2^5*z3 + 
    2866080*ln2^3*z2*z3 + 10051272*ln2*z2^2*z3 + 291060*ln2^2*z3^2 + 
    8738100*z2*z3^2 + 546840*ln2^3*z5 + 30640680*ln2*z2*z5 - 9903915*z3*z5 - 
    15643530*ln2*z7)/2257920, H[0, 1, 1, 1, 0, 1, 1, 1, 1] -> (2*z2^4)/175, 
 H[0, 1, 1, 1, 0, 1, 1, 0, 1] -> (175*s8a - 4*z2^4 + 35*z2*z3^2 - 210*z3*z5)/
   70, H[0, 1, 1, 1, 0, 1, 1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    42672000*ln2^2*s6 + 19488000*ln2*s7a - 4032000*ln2*s7b + 71571675*s8a + 
    332472000*s8b + 46368000*s8c + 24192000*s8d + 141120000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 78400*ln2^6*z2 - 
    48384000*s6*z2 - 4099200*li4half*z2^2 - 464800*ln2^4*z2^2 + 
    16884000*ln2^2*z2^3 - 11496792*z2^4 - 86016000*li5half*z3 + 
    24696000*li4half*ln2*z3 + 1745800*ln2^5*z3 - 11284000*ln2^3*z2*z3 - 
    62895000*ln2*z2^2*z3 + 17839500*ln2^2*z3^2 - 56973000*z2*z3^2 + 
    22785000*ln2^3*z5 - 70077000*ln2*z2*z5 + 68404875*z3*z5 - 
    255790500*ln2*z7)/9408000, H[0, 1, 1, 1, 0, 1, 0, 1, 1] -> 
  (-1925*s8a + 1067*z2^4 + 1750*z2*z3^2 - 7875*z3*z5)/875, 
 H[0, 1, 1, 1, 0, 1, 0, 0, 1] -> (6300*s8a - 5437*z2^4 - 42000*z2*z3^2 + 
    147000*z3*z5)/21000, H[0, 1, 1, 1, 0, 1, 0, -1, 1] -> 
  (-1152000*li4half^2 - 96000*li4half*ln2^4 - 2000*ln2^8 + 576000*ln2^2*s6 - 
    1152000*ln2*s7a - 1152000*ln2*s7b + 318600*s8a - 5256000*s8b + 
    1152000*s8c - 1152000*s8d - 3456000*li6half*z2 - 3456000*li5half*ln2*z2 - 
    1152000*li4half*ln2^2*z2 - 24000*ln2^6*z2 + 4248000*s6*z2 - 
    115200*li4half*z2^2 + 139200*ln2^4*z2^2 - 201600*ln2^2*z2^3 + 
    727416*z2^4 + 2304000*li5half*z3 - 2016000*li4half*ln2*z3 - 
    103200*ln2^5*z3 + 192000*ln2^3*z2*z3 + 669600*ln2*z2^2*z3 - 
    1602000*ln2^2*z3^2 - 2241000*z2*z3^2 - 3838500*ln2*z2*z5 + 
    4720500*z3*z5 + 2392875*ln2*z7)/576000, H[0, 1, 1, 1, 0, 1, -1, 1, 1] -> 
  (21168000*li4half^2 + 1764000*li4half*ln2^4 + 36750*ln2^8 + 
    18984000*ln2^2*s6 - 39601275*s8a - 144228000*s8b - 26208000*s8c - 
    9072000*s8d + 28224000*li5half*ln2*z2 + 10584000*li4half*ln2^2*z2 + 
    205800*ln2^6*z2 + 41664000*s6*z2 - 19807200*li4half*z2^2 - 
    2442300*ln2^4*z2^2 - 5061000*ln2^2*z2^3 + 5773296*z2^4 + 
    6384000*li5half*z3 - 53200*ln2^5*z3 + 6706000*ln2^3*z2*z3 + 
    18085200*ln2*z2^2*z3 + 3281250*ln2^2*z3^2 + 32408250*z2*z3^2 + 
    50400000*ln2*z2*z5 - 58949625*z3*z5)/4704000, 
 H[0, 1, 1, 1, 0, 1, -1, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 672000*ln2^2*s6 + 
    203175*s8a + 1596000*s8b - 1344000*s8c + 1344000*s8d + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 4200000*s6*z2 + 
    2671200*li4half*z2^2 - 140700*ln2^4*z2^2 - 634200*ln2^2*z2^3 - 
    1504212*z2^4 + 6720000*li5half*z3 - 56000*ln2^5*z3 + 560000*ln2^3*z2*z3 + 
    3045000*ln2*z2^2*z3 + 189000*ln2^2*z3^2 + 393750*z2*z3^2 + 
    4032000*ln2*z2*z5 - 2947875*z3*z5)/672000, 
 H[0, 1, 1, 1, 0, 1, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    42336000*ln2^2*s6 + 22176000*ln2*s7a + 69216000*ln2*s7b + 5515650*s8a - 
    80976000*s8b - 6720000*s8c + 6720000*s8d - 28224000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 98784000*li4half*ln2^2*z2 - 3214400*ln2^6*z2 + 
    31248000*s6*z2 - 37699200*li4half*z2^2 + 12541200*ln2^4*z2^2 + 
    28929600*ln2^2*z2^3 - 2878656*z2^4 - 22848000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 4306400*ln2^5*z3 - 55412000*ln2^3*z2*z3 - 
    79556400*ln2*z2^2*z3 + 30282000*ln2^2*z3^2 - 37149000*z2*z3^2 - 
    45570000*ln2^3*z5 - 225645000*ln2*z2*z5 + 195053250*z3*z5 + 
    613837875*ln2*z7)/18816000, H[0, 1, 1, 1, 0, 0, 1, 1, 1] -> 
  (482*z2^4 + 1575*z2*z3^2 - 5775*z3*z5)/1050, 
 H[0, 1, 1, 1, 0, 0, 1, 0, 1] -> (-69300*s8a + 11267*z2^4 - 10500*z2*z3^2 - 
    21000*z3*z5)/21000, H[0, 1, 1, 1, 0, 0, 1, -1, 1] -> 
  (-3024000*ln2*s7a - 3024000*ln2*s7b - 7862925*s8a - 9324000*s8b + 
    6048000*s8c - 6048000*s8d - 28224000*li6half*z2 - 
    14112000*li5half*ln2*z2 + 78400*ln2^6*z2 + 5628000*s6*z2 - 
    1209600*li4half*z2^2 - 638400*ln2^4*z2^2 - 378000*ln2^2*z2^3 + 
    9157132*z2^4 + 12096000*li5half*z3 - 100800*ln2^5*z3 + 
    3066000*ln2^3*z2*z3 + 7497000*ln2*z2^2*z3 - 4630500*ln2^2*z3^2 + 
    94500*z2*z3^2 - 34287750*ln2*z2*z5 - 17868375*z3*z5 + 22575000*ln2*z7)/
   4704000, H[0, 1, 1, 1, 0, 0, 0, 1, 1] -> 
  (2520*s8a - 1037*z2^4 - 1680*z2*z3^2 + 7560*z3*z5)/840, 
 H[0, 1, 1, 1, 0, 0, 0, 0, 1] -> (-525*s8a + 1416*z2^4 + 875*z2*z3^2 - 
    7875*z3*z5)/1750, H[0, 1, 1, 1, 0, 0, 0, -1, 1] -> 
  (1268400*s8a + 4536000*s8b - 1512000*s6*z2 + 238144*z2^4 + 546000*z2*z3^2 + 
    2929500*ln2*z2*z5 - 2614500*z3*z5 - 9001125*ln2*z7)/672000, 
 H[0, 1, 1, 1, 0, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    3024000*ln2^2*s6 + 23356725*s8a - 25368000*s8b - 6048000*s8c + 
    6048000*s8d - 28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    352800*ln2^6*z2 - 2688000*s6*z2 + 25200000*li4half*z2^2 + 
    3990000*ln2^4*z2^2 - 6148800*ln2^2*z2^3 - 20898064*z2^4 + 
    37296000*li5half*z3 - 310800*ln2^5*z3 - 9240000*ln2^3*z2*z3 + 
    8983800*ln2*z2^2*z3 + 5481000*ln2^2*z3^2 - 15309000*z2*z3^2 + 
    75033000*ln2*z2*z5 + 55794375*z3*z5)/9408000, 
 H[0, 1, 1, 1, 0, 0, -1, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 5529825*s8a - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    5342400*li4half*z2^2 + 281400*ln2^4*z2^2 + 1335600*ln2^2*z2^3 + 
    3070608*z2^4 - 14112000*li5half*z3 + 117600*ln2^5*z3 - 
    1176000*ln2^3*z2*z3 - 4674600*ln2*z2^2*z3 + 3102750*z2*z3^2 - 
    3110625*z3*z5)/2016000, H[0, 1, 1, 1, 0, 0, -1, -1, 1] -> 
  (1680000*ln2^2*s6 - 3360000*ln2*s7a - 3360000*ln2*s7b - 2757825*s8a + 
    40488000*s8b + 3360000*s8c - 3360000*s8d + 84672000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    27888000*s6*z2 + 6384000*li4half*z2^2 - 5026000*ln2^4*z2^2 - 
    2268000*ln2^2*z2^3 - 3559232*z2^4 - 9744000*li5half*z3 - 
    16464000*li4half*ln2*z3 - 604800*ln2^5*z3 + 15652000*ln2^3*z2*z3 + 
    7833000*ln2*z2^2*z3 - 9303000*ln2^2*z3^2 + 714000*z2*z3^2 - 
    41223000*ln2*z2*z5 - 66987375*z3*z5 - 103784625*ln2*z7)/9408000, 
 H[0, 1, 1, 1, 0, -1, 1, 1, 1] -> (7056000*li4half^2 + 588000*li4half*ln2^4 + 
    12250*ln2^8 - 2520000*ln2^2*s6 + 12545925*s8a + 88368000*s8b + 
    5040000*s8c + 6720000*s8d - 48720000*s6*z2 + 4401600*li4half*z2^2 - 
    257600*ln2^4*z2^2 + 2931600*ln2^2*z2^3 - 71082*z2^4 - 
    32256000*li5half*z3 + 268800*ln2^5*z3 + 399000*ln2^3*z2*z3 - 
    11440800*ln2*z2^2*z3 - 708750*ln2^2*z3^2 + 10258500*z2*z3^2 - 
    3797500*ln2^3*z5 - 3727500*ln2*z2*z5 - 15303750*z3*z5)/4704000, 
 H[0, 1, 1, 1, 0, -1, 1, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 
    1008000*ln2^2*s6 - 806400*s8a - 2394000*s8b + 2016000*s8c - 2016000*s8d + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 + 7560000*s6*z2 - 
    176400*li4half*z2^2 - 133350*ln2^4*z2^2 - 6300*ln2^2*z2^3 + 
    1753236*z2^4 + 4032000*li5half*z3 - 33600*ln2^5*z3 + 336000*ln2^3*z2*z3 - 
    1215900*ln2*z2^2*z3 - 283500*ln2^2*z3^2 - 2236500*z2*z3^2 - 
    8489250*ln2*z2*z5 - 4386375*z3*z5)/1008000, 
 H[0, 1, 1, 1, 0, -1, 1, -1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 + 
    13392000*ln2^2*s6 + 5760000*ln2*s7a + 15840000*ln2*s7b - 43783425*s8a - 
    157248000*s8b - 38304000*s8c - 2016000*s8d - 42336000*li6half*z2 - 
    18144000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 75600*ln2^6*z2 + 
    5544000*s6*z2 - 3628800*li4half*z2^2 + 100800*ln2^4*z2^2 - 
    6523200*ln2^2*z2^3 + 1928232*z2^4 + 36288000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 285600*ln2^5*z3 - 1386000*ln2^3*z2*z3 + 
    25912800*ln2*z2^2*z3 + 12586500*ln2^2*z3^2 + 45580500*z2*z3^2 - 
    6510000*ln2^3*z5 + 89770500*ln2*z2*z5 - 77702625*z3*z5 + 87062625*ln2*z7)/
   4032000, H[0, 1, 1, 1, 0, -1, 0, 1, 1] -> 
  (-159775*s8a + 1120000*s6*z2 + 168000*li4half*z2^2 + 7000*ln2^4*z2^2 - 
    42000*ln2^2*z2^3 + 151636*z2^4 + 147000*ln2*z2^2*z3 - 777000*z2*z3^2 - 
    2170000*ln2*z2*z5 + 963375*z3*z5)/448000, 
 H[0, 1, 1, 1, 0, -1, 0, 0, 1] -> (168525*s8a + 302400*li4half*z2^2 + 
    12600*ln2^4*z2^2 - 75600*ln2^2*z2^3 - 93572*z2^4 + 264600*ln2*z2^2*z3 - 
    98700*z2*z3^2 + 135975*z3*z5)/134400, H[0, 1, 1, 1, 0, -1, 0, -1, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 + 806400*ln2^2*s6 - 
    1612800*ln2*s7a - 1612800*ln2*s7b + 1124025*s8a + 235200*s8b + 
    1612800*s8c - 1612800*s8d - 1612800*li6half*z2 - 1612800*li5half*ln2*z2 + 
    11200*ln2^6*z2 + 3158400*s6*z2 + 645120*li4half*z2^2 + 26880*ln2^4*z2^2 - 
    483840*ln2^2*z2^3 + 864912*z2^4 + 3225600*li5half*z3 - 
    2822400*li4half*ln2*z3 - 144480*ln2^5*z3 + 739200*ln2^3*z2*z3 + 
    1643040*ln2*z2^2*z3 - 2242800*ln2^2*z3^2 - 1433250*z2*z3^2 + 
    29400*ln2*z2*z5 - 1675275*z3*z5 - 11718525*ln2*z7)/268800, 
 H[0, 1, 1, 1, 0, -1, -1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    19152000*ln2^2*s6 + 32698575*s8a + 162792000*s8b + 18144000*s8c + 
    22176000*s8d - 12096000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 
    67200*ln2^6*z2 - 60480000*s6*z2 + 14313600*li4half*z2^2 + 
    848400*ln2^4*z2^2 + 7128000*ln2^2*z2^3 - 6040368*z2^4 - 
    55440000*li5half*z3 + 462000*ln2^5*z3 - 4620000*ln2^3*z2*z3 - 
    29421000*ln2*z2^2*z3 + 5859000*ln2^2*z3^2 - 27846000*z2*z3^2 + 
    6510000*ln2^3*z5 - 52920000*ln2*z2*z5 + 92176875*z3*z5)/8064000, 
 H[0, 1, 1, 1, 0, -1, -1, 0, 1] -> (576000*li4half^2 + 48000*li4half*ln2^4 + 
    1000*ln2^8 - 79425*s8a - 288000*li4half*ln2^2*z2 - 12000*ln2^6*z2 - 
    360000*s6*z2 - 273600*li4half*z2^2 + 24600*ln2^4*z2^2 + 
    68400*ln2^2*z2^3 + 34992*z2^4 - 1008000*li5half*z3 + 8400*ln2^5*z3 - 
    84000*ln2^3*z2*z3 - 239400*ln2*z2^2*z3 + 334125*z2*z3^2 + 
    697500*ln2*z2*z5 + 112500*z3*z5)/288000, 
 H[0, 1, 1, 1, 0, -1, -1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    19152000*ln2^2*s6 - 38304000*ln2*s7a - 179424000*ln2*s7b + 
    179548425*s8a + 657720000*s8b + 179424000*s8c - 38304000*s8d + 
    56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 6048000*s6*z2 + 
    67132800*li4half*z2^2 - 4258800*ln2^4*z2^2 - 24444000*ln2^2*z2^3 + 
    45454968*z2^4 + 27216000*li5half*z3 - 246960000*li4half*ln2*z3 - 
    10516800*ln2^5*z3 + 64008000*ln2^3*z2*z3 + 48195000*ln2*z2^2*z3 - 
    131985000*ln2^2*z3^2 - 161028000*z2*z3^2 + 91140000*ln2^3*z5 - 
    6804000*ln2*z2*z5 + 29129625*z3*z5 - 1294563375*ln2*z7)/56448000, 
 H[0, 1, 1, 1, -1, 1, 1, 1, 1] -> 
  (-5*li4half^2 - 350*li8half + 200*li6half*z2 + 8*li4half*z2^2)/10, 
 H[0, 1, 1, 1, -1, 1, 1, 0, 1] -> (4704000*li4half^2 + 376320000*li8half + 
    392000*li4half*ln2^4 + 17500*ln2^8 - 45360000*ln2^2*s6 + 112677075*s8a + 
    427560000*s8b + 90720000*s8c - 6048000*s8d - 94080000*li6half*z2 - 
    392000*ln2^6*z2 - 30240000*s6*z2 + 4905600*li4half*z2^2 - 
    971600*ln2^4*z2^2 + 8736000*ln2^2*z2^3 + 3308352*z2^4 - 
    138432000*li5half*z3 - 1176000*li4half*ln2*z3 + 1104600*ln2^5*z3 - 
    10948000*ln2^3*z2*z3 - 100417800*ln2*z2^2*z3 - 12757500*ln2^2*z3^2 - 
    74655000*z2*z3^2 - 272160000*ln2*z2*z5 + 87052875*z3*z5)/9408000, 
 H[0, 1, 1, 1, -1, 1, 1, -1, 1] -> (28224000*li4half^2 + 1693440000*li8half - 
    56448000*li7half*ln2 + 4200*ln2^8 - 284256000*ln2^2*s6 + 
    104832000*ln2*s7a - 106848000*ln2*s7b + 602881650*s8a + 3523968000*s8b + 
    358848000*s8c + 290304000*s8d - 225792000*li6half*z2 + 
    338688000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 39200*ln2^6*z2 - 
    1116864000*s6*z2 + 39715200*li4half*z2^2 + 2478000*ln2^4*z2^2 + 
    65822400*ln2^2*z2^3 - 66654576*z2^4 - 637056000*li5half*z3 + 
    5308800*ln2^5*z3 - 40740000*ln2^3*z2*z3 - 387248400*ln2*z2^2*z3 + 
    80577000*ln2^2*z3^2 - 291186000*z2*z3^2 + 205065000*ln2^3*z5 - 
    248031000*ln2*z2*z5 + 183062250*z3*z5 - 1919271375*ln2*z7)/56448000, 
 H[0, 1, 1, 1, -1, 1, 0, 1, 1] -> (3528000*li4half^2 + 294000*li4half*ln2^4 + 
    6125*ln2^8 + 34776000*ln2^2*s6 - 104717025*s8a - 531342000*s8b - 
    69552000*s8c - 39816000*s8d - 155232000*li6half*z2 + 
    1764000*li4half*ln2^2*z2 - 142100*ln2^6*z2 + 129024000*s6*z2 - 
    5670000*li4half*z2^2 + 1895250*ln2^4*z2^2 - 4479300*ln2^2*z2^3 + 
    19819746*z2^4 + 107856000*li5half*z3 + 1764000*li4half*ln2*z3 - 
    825300*ln2^5*z3 + 8106000*ln2^3*z2*z3 + 77030100*ln2*z2^2*z3 + 
    9780750*ln2^2*z3^2 + 85459500*z2*z3^2 + 208656000*ln2*z2*z5 - 
    146569500*z3*z5)/7056000, H[0, 1, 1, 1, -1, 1, 0, 0, 1] -> 
  (-23184000*ln2^2*s6 + 95282775*s8a + 730548000*s8b + 46368000*s8c + 
    94752000*s8d + 56448000*li6half*z2 + 78400*ln2^6*z2 - 291816000*s6*z2 + 
    58816800*li4half*z2^2 - 4017300*ln2^4*z2^2 + 869400*ln2^2*z2^3 - 
    27773136*z2^4 - 48384000*li5half*z3 + 10584000*li4half*ln2*z3 + 
    844200*ln2^5*z3 - 9324000*ln2^3*z2*z3 - 50765400*ln2*z2^2*z3 - 
    6520500*ln2^2*z3^2 - 77112000*z2*z3^2 - 139104000*ln2*z2*z5 + 
    75938625*z3*z5)/14112000, H[0, 1, 1, 1, -1, 1, 0, -1, 1] -> 
  (-254016000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 - 
    21168000*li4half*ln2^4 - 575400*ln2^8 - 586656000*ln2^2*s6 - 
    86688000*ln2*s7a - 312480000*ln2*s7b + 2029715100*s8a + 13917456000*s8b + 
    1346688000*s8c + 1165248000*s8d - 1467648000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 268128000*li4half*ln2^2*z2 + 
    11093600*ln2^6*z2 - 4052160000*s6*z2 + 374169600*li4half*z2^2 - 
    44032800*ln2^4*z2^2 + 66427200*ln2^2*z2^3 - 408554064*z2^4 - 
    1653120000*li5half*z3 - 458640000*li4half*ln2*z3 - 5334000*ln2^5*z3 - 
    68964000*ln2^3*z2*z3 - 1149976800*ln2*z2^2*z3 - 297738000*ln2^2*z3^2 - 
    1387071000*z2*z3^2 + 218736000*ln2^3*z5 - 3730293000*ln2*z2*z5 + 
    366628500*z3*z5 - 2563556625*ln2*z7)/56448000, 
 H[0, 1, 1, 1, -1, 1, -1, 1, 1] -> (-42336000*li4half^2 + 225792000*li8half + 
    42336000*li6half*ln2^2 - 4704000*li4half*ln2^4 - 58100*ln2^8 - 
    5544000*ln2^2*s6 - 34084575*s8a + 333648000*s8b - 52416000*s8c + 
    172368000*s8d - 324576000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 1156400*ln2^6*z2 - 415296000*s6*z2 + 
    58464000*li4half*z2^2 - 5943000*ln2^4*z2^2 + 1738800*ln2^2*z2^3 - 
    15682932*z2^4 - 161280000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    1050000*ln2^5*z3 + 32424000*ln2^3*z2*z3 - 17161200*ln2*z2^2*z3 + 
    31626000*ln2^2*z3^2 + 72387000*z2*z3^2 + 326592000*ln2*z2*z5 + 
    74395125*z3*z5)/28224000, H[0, 1, 1, 1, -1, 1, -1, 0, 1] -> 
  (11289600*li4half^2 - 248371200*li8half + 940800*li4half*ln2^4 + 
    13440*ln2^8 + 5241600*ln2^2*s6 - 27790875*s8a - 272664000*s8b - 
    10483200*s8c - 44553600*s8d + 59270400*li6half*z2 - 
    7056000*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 110275200*s6*z2 - 
    14132160*li4half*z2^2 + 1251600*ln2^4*z2^2 - 1038240*ln2^2*z2^3 + 
    15805548*z2^4 + 72172800*li5half*z3 + 5644800*li4half*ln2*z3 - 
    366240*ln2^5*z3 + 3192000*ln2^3*z2*z3 + 26838000*ln2*z2^2*z3 + 
    1474200*ln2^2*z3^2 + 12978000*z2*z3^2 + 31449600*ln2*z2*z5 - 
    19386675*z3*z5)/5644800, H[0, 1, 1, 1, -1, 1, -1, -1, 1] -> 
  (28224000*li4half^2 + 508032000*li8half + 169344000*li7half*ln2 - 
    84672000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 8400*ln2^8 + 
    117936000*ln2^2*s6 + 36288000*ln2*s7a + 78624000*ln2*s7b - 
    108511200*s8a - 302400000*s8b - 181440000*s8c + 26208000*s8d - 
    197568000*li6half*z2 + 14112000*li4half*ln2^2*z2 - 1097600*ln2^6*z2 - 
    38304000*s6*z2 - 80841600*li4half*z2^2 + 5745600*ln2^4*z2^2 + 
    11944800*ln2^2*z2^3 - 41705352*z2^4 + 145152000*li5half*z3 + 
    14112000*li4half*ln2*z3 - 621600*ln2^5*z3 - 88452000*ln2^3*z2*z3 + 
    66805200*ln2*z2^2*z3 + 22365000*ln2^2*z3^2 + 97272000*z2*z3^2 - 
    41013000*ln2^3*z5 - 153657000*ln2*z2*z5 - 94248000*z3*z5 + 
    954914625*ln2*z7)/56448000, H[0, 1, 1, 1, -1, 0, 1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    13104000*ln2^2*s6 - 89162325*s8a - 775152000*s8b - 26208000*s8c - 
    72576000*s8d - 112896000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 
    450800*ln2^6*z2 + 363888000*s6*z2 - 29332800*li4half*z2^2 + 
    2011800*ln2^4*z2^2 + 4006800*ln2^2*z2^3 + 27302328*z2^4 + 
    32256000*li5half*z3 - 3528000*li4half*ln2*z3 - 415800*ln2^5*z3 + 
    4452000*ln2^3*z2*z3 + 28816200*ln2*z2^2*z3 + 3685500*ln2^2*z3^2 + 
    16569000*z2*z3^2 + 78624000*ln2*z2*z5 + 56298375*z3*z5)/28224000, 
 H[0, 1, 1, 1, -1, 0, 1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    15120000*ln2^2*s6 - 35960400*s8a + 35154000*s8b - 30240000*s8c + 
    30240000*s8d + 28224000*li6half*z2 + 7056000*li4half*ln2^2*z2 + 
    333200*ln2^6*z2 - 65772000*s6*z2 + 15750000*li4half*z2^2 - 
    813750*ln2^4*z2^2 - 12959100*ln2^2*z2^3 - 13997064*z2^4 + 
    24192000*li5half*z3 - 10584000*li4half*ln2*z3 - 642600*ln2^5*z3 + 
    7308000*ln2^3*z2*z3 + 32923800*ln2*z2^2*z3 + 4252500*ln2^2*z3^2 + 
    17608500*z2*z3^2 + 90720000*ln2*z2*z5 - 44942625*z3*z5)/7056000, 
 H[0, 1, 1, 1, -1, 0, 1, -1, 1] -> 
  (-141120000*li4half^2 - 9031680000*li8half - 1806336000*li7half*ln2 - 
    11760000*li4half*ln2^4 - 110600*ln2^8 + 1153152000*ln2^2*s6 - 
    385056000*ln2*s7a + 348768000*ln2*s7b - 2590966350*s8a - 
    16813440000*s8b - 1536192000*s8c - 1596672000*s8d + 
    1749888000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 470400*ln2^6*z2 + 5768784000*s6*z2 - 
    124588800*li4half*z2^2 + 9744000*ln2^4*z2^2 - 307692000*ln2^2*z2^3 + 
    414358704*z2^4 + 2515968000*li5half*z3 - 141120000*li4half*ln2*z3 - 
    26846400*ln2^5*z3 + 267876000*ln2^3*z2*z3 + 1789653600*ln2*z2^2*z3 - 
    265293000*ln2^2*z3^2 + 1407483000*z2*z3^2 - 710892000*ln2^3*z5 + 
    2945943000*ln2*z2*z5 - 1105791750*z3*z5 + 4356977625*ln2*z7)/56448000, 
 H[0, 1, 1, 1, -1, 0, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    23184000*ln2^2*s6 + 113937075*s8a + 428904000*s8b + 46368000*s8c + 
    24192000*s8d + 56448000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 
    215600*ln2^6*z2 - 164808000*s6*z2 - 27619200*li4half*z2^2 - 
    1444800*ln2^4*z2^2 + 14540400*ln2^2*z2^3 - 16251528*z2^4 - 
    48384000*li5half*z3 + 10584000*li4half*ln2*z3 + 844200*ln2^5*z3 - 
    9324000*ln2^3*z2*z3 - 50765400*ln2*z2^2*z3 - 6520500*ln2^2*z3^2 - 
    56826000*z2*z3^2 - 139104000*ln2*z2*z5 + 155428875*z3*z5)/14112000, 
 H[0, 1, 1, 1, -1, 0, 0, 0, 1] -> (672000*ln2^2*s6 - 3742725*s8a - 
    28602000*s8b - 1344000*s8c - 3360000*s8d + 12012000*s6*z2 - 
    3318000*li4half*z2^2 - 138250*ln2^4*z2^2 + 107100*ln2^2*z2^3 + 
    1590444*z2^4 + 2016000*li5half*z3 - 16800*ln2^5*z3 + 168000*ln2^3*z2*z3 + 
    1486800*ln2*z2^2*z3 + 189000*ln2^2*z3^2 + 2331000*z2*z3^2 + 
    4032000*ln2*z2*z5 - 4935000*z3*z5)/1176000, 
 H[0, 1, 1, 1, -1, 0, 0, -1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    304416000*ln2^2*s6 + 143136000*ln2*s7a - 26208000*ln2*s7b + 
    472060575*s8a + 2292192000*s8b + 322560000*s8c + 213696000*s8d + 
    56448000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 3920000*ln2^6*z2 - 797832000*s6*z2 - 
    78624000*li4half*z2^2 + 7896000*ln2^4*z2^2 + 112039200*ln2^2*z2^3 + 
    15316332*z2^4 - 526176000*li5half*z3 + 225792000*li4half*ln2*z3 + 
    13792800*ln2^5*z3 - 95004000*ln2^3*z2*z3 - 442965600*ln2*z2^2*z3 + 
    133560000*ln2^2*z3^2 - 295832250*z2*z3^2 + 164052000*ln2^3*z5 - 
    557298000*ln2*z2*z5 + 700347375*z3*z5 - 521238375*ln2*z7)/28224000, 
 H[0, 1, 1, 1, -1, 0, -1, 1, 1] -> (3951360*li4half^2 + 90316800*li8half - 
    4515840*li6half*ln2^2 + 329280*li4half*ln2^4 + 2828*ln2^8 - 
    3286080*ln2^2*s6 + 15153075*s8a + 89651520*s8b + 7983360*s8c + 
    3306240*s8d - 27095040*li6half*z2 + 10160640*li5half*ln2*z2 + 
    1411200*li4half*ln2^2*z2 - 32144*ln2^6*z2 - 27074880*s6*z2 - 
    3544128*li4half*z2^2 - 46536*ln2^4*z2^2 + 993888*ln2^2*z2^3 - 
    1853676*z2^4 - 1814400*li5half*z3 + 1128960*li4half*ln2*z3 + 
    62160*ln2^5*z3 - 2938320*ln2^3*z2*z3 - 6898248*ln2*z2^2*z3 - 
    1171170*ln2^2*z3^2 - 5868450*z2*z3^2 - 32152680*ln2*z2*z5 - 
    10162215*z3*z5)/1128960, H[0, 1, 1, 1, -1, 0, -1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    159264000*ln2^2*s6 - 294520275*s8a - 635544000*s8b - 318528000*s8c + 
    205632000*s8d + 56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 - 
    238392000*s6*z2 + 91929600*li4half*z2^2 - 3225600*ln2^4*z2^2 - 
    43369200*ln2^2*z2^3 - 92504904*z2^4 + 68544000*li5half*z3 - 
    56448000*li4half*ln2*z3 - 2923200*ln2^5*z3 + 33936000*ln2^3*z2*z3 + 
    251382600*ln2*z2^2*z3 + 44793000*ln2^2*z3^2 + 256866750*z2*z3^2 + 
    955584000*ln2*z2*z5 - 301651875*z3*z5)/28224000, 
 H[0, 1, 1, 1, -1, 0, -1, -1, 1] -> (8064000*li4half^2 + 645120000*li8half + 
    258048000*li7half*ln2 + 32256000*li6half*ln2^2 + 672000*li4half*ln2^4 + 
    23600*ln2^8 - 93744000*ln2^2*s6 + 26208000*ln2*s7a - 30240000*ln2*s7b + 
    170654400*s8a + 1169280000*s8b + 124992000*s8c + 92736000*s8d - 
    52416000*li6half*z2 - 24192000*li5half*ln2*z2 + 
    8064000*li4half*ln2^2*z2 + 420000*ln2^6*z2 - 328608000*s6*z2 + 
    19958400*li4half*z2^2 - 2612400*ln2^4*z2^2 + 15825600*ln2^2*z2^3 - 
    26143056*z2^4 - 175392000*li5half*z3 + 20160000*li4half*ln2*z3 + 
    2301600*ln2^5*z3 - 3528000*ln2^3*z2*z3 - 124336800*ln2*z2^2*z3 + 
    15529500*ln2^2*z3^2 - 108423000*z2*z3^2 + 54684000*ln2^3*z5 - 
    208215000*ln2*z2*z5 + 8536500*z3*z5 - 479122875*ln2*z7)/8064000, 
 H[0, 1, 1, 1, -1, -1, 1, 1, 1] -> (84672000*li4half^2 - 1693440000*li8half - 
    28224000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 242200*ln2^8 + 
    307440000*ln2^2*s6 - 836840025*s8a - 4946760000*s8b - 614880000*s8c - 
    401184000*s8d - 56448000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    784000*ln2^6*z2 + 1324512000*s6*z2 - 114105600*li4half*z2^2 + 
    12768000*ln2^4*z2^2 - 29383200*ln2^2*z2^3 + 104323896*z2^4 + 
    597744000*li5half*z3 + 7056000*li4half*ln2*z3 - 4687200*ln2^5*z3 + 
    88620000*ln2^3*z2*z3 + 600125400*ln2*z2^2*z3 + 86467500*ln2^2*z3^2 + 
    713632500*z2*z3^2 - 9114000*ln2^3*z5 + 1871982000*ln2*z2*z5 - 
    767017125*z3*z5)/56448000, H[0, 1, 1, 1, -1, -1, 1, 0, 1] -> 
  (-42336000*li4half^2 - 282240000*li8half - 3528000*li4half*ln2^4 - 
    80500*ln2^8 - 504000*ln2^2*s6 - 43329825*s8a - 209412000*s8b + 
    1008000*s8c - 25704000*s8d + 127008000*li6half*z2 - 
    21168000*li5half*ln2*z2 + 17640000*li4half*ln2^2*z2 + 1283800*ln2^6*z2 + 
    137844000*s6*z2 + 23083200*li4half*z2^2 - 1316700*ln2^4*z2^2 - 
    14893200*ln2^2*z2^3 + 12703518*z2^4 + 65520000*li5half*z3 - 
    22932000*li4half*ln2*z3 - 1501500*ln2^5*z3 + 16926000*ln2^3*z2*z3 + 
    13967100*ln2*z2^2*z3 - 141750*ln2^2*z3^2 - 18396000*z2*z3^2 - 
    9859500*ln2*z2*z5 - 2307375*z3*z5)/14112000, 
 H[0, 1, 1, 1, -1, -1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 846720000*li8half - 169344000*li7half*ln2 + 
    28224000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 229600*ln2^8 - 
    64512000*ln2^2*s6 + 18144000*ln2*s7a + 187488000*ln2*s7b + 81814950*s8a + 
    1351728000*s8b + 92736000*s8c + 189504000*s8d + 141120000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 156800*ln2^6*z2 - 
    343728000*s6*z2 + 153619200*li4half*z2^2 - 7240800*ln2^4*z2^2 - 
    79632000*ln2^2*z2^3 - 97546608*z2^4 - 449568000*li5half*z3 - 
    7056000*li4half*ln2*z3 + 3452400*ln2^5*z3 - 53340000*ln2^3*z2*z3 - 
    253688400*ln2*z2^2*z3 + 9639000*ln2^2*z3^2 - 138789000*z2*z3^2 - 
    154938000*ln2^3*z5 - 906570000*ln2*z2*z5 + 175470750*z3*z5 + 
    1708426125*ln2*z7)/56448000, H[0, 1, 1, 1, -1, -1, 0, 1, 1] -> 
  (-80304000*ln2^2*s6 + 233637075*s8a + 1158696000*s8b + 160608000*s8c + 
    98112000*s8d + 169344000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    9408000*li4half*ln2^2*z2 + 313600*ln2^6*z2 - 306768000*s6*z2 + 
    19622400*li4half*z2^2 - 4180400*ln2^4*z2^2 + 22797600*ln2^2*z2^3 - 
    21289248*z2^4 - 217392000*li5half*z3 + 11760000*li4half*ln2*z3 + 
    2301600*ln2^5*z3 - 23996000*ln2^3*z2*z3 - 170028600*ln2*z2^2*z3 - 
    22585500*ln2^2*z3^2 - 212698500*z2*z3^2 - 500052000*ln2*z2*z5 + 
    401076375*z3*z5)/18816000, H[0, 1, 1, 1, -1, -1, 0, 0, 1] -> 
  (1128960*li4half^2 + 94080*li4half*ln2^4 + 1960*ln2^8 + 443520*ln2^2*s6 - 
    3522645*s8a - 34453440*s8b - 887040*s8c - 6451200*s8d - 
    6773760*li6half*z2 - 564480*li4half*ln2^2*z2 - 32928*ln2^6*z2 + 
    14878080*s6*z2 - 725760*li4half*z2^2 + 498960*ln2^4*z2^2 + 
    191520*ln2^2*z2^3 + 1980576*z2^4 + 3588480*li5half*z3 + 
    1128960*li4half*ln2*z3 + 17136*ln2^5*z3 - 265440*ln2^3*z2*z3 + 
    3577896*ln2*z2^2*z3 + 124740*ln2^2*z3^2 + 3108420*z2*z3^2 + 
    2661120*ln2*z2*z5 - 6893145*z3*z5)/1128960, 
 H[0, 1, 1, 1, -1, -1, 0, -1, 1] -> 
  (-112896000*li4half^2 - 6773760000*li8half - 1354752000*li7half*ln2 - 
    9408000*li4half*ln2^4 - 95200*ln2^8 + 467712000*ln2^2*s6 - 
    258048000*ln2*s7a - 187488000*ln2*s7b - 933404850*s8a - 8775648000*s8b - 
    419328000*s8c - 1048320000*s8d + 733824000*li6half*z2 - 
    84672000*li4half*ln2^2*z2 - 3449600*ln2^6*z2 + 3147984000*s6*z2 - 
    177206400*li4half*z2^2 + 29542800*ln2^4*z2^2 - 15876000*ln2^2*z2^3 + 
    487549224*z2^4 + 1856736000*li5half*z3 - 183456000*li4half*ln2*z3 - 
    23116800*ln2^5*z3 + 160020000*ln2^3*z2*z3 + 1016820000*ln2*z2^2*z3 - 
    263592000*ln2^2*z3^2 + 437755500*z2*z3^2 - 68355000*ln2^3*z5 + 
    1820196000*ln2*z2*z5 - 126425250*z3*z5 - 648041625*ln2*z7)/56448000, 
 H[0, 1, 1, 1, -1, -1, -1, 1, 1] -> (8467200*li4half^2 + 152409600*li8half - 
    2822400*li6half*ln2^2 + 2822400*li5half*ln2^3 + 940800*li4half*ln2^4 + 
    840*ln2^8 - 22478400*ln2^2*s6 + 74026575*s8a + 395035200*s8b + 
    46368000*s8c + 29836800*s8d - 14112000*li6half*z2 + 
    8467200*li5half*ln2*z2 - 90160*ln2^6*z2 - 115416000*s6*z2 - 
    1088640*li4half*z2^2 - 750960*ln2^4*z2^2 + 7958160*ln2^2*z2^3 - 
    8497656*z2^4 - 59673600*li5half*z3 + 4939200*li4half*ln2*z3 + 
    703080*ln2^5*z3 - 11676000*ln2^3*z2*z3 - 51047640*ln2*z2^2*z3 - 
    4315500*ln2^2*z3^2 - 54180000*z2*z3^2 + 911400*ln2^3*z5 - 
    155773800*ln2*z2*z5 + 80238375*z3*z5)/5644800, 
 H[0, 1, 1, 1, -1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 + 1354752000*li8half - 2352000*li4half*ln2^4 - 
    15400*ln2^8 + 93744000*ln2^2*s6 - 104411475*s8a + 650664000*s8b - 
    187488000*s8c + 258048000*s8d - 366912000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 - 980000*ln2^6*z2 - 
    628992000*s6*z2 + 61488000*li4half*z2^2 - 4082400*ln2^4*z2^2 - 
    26258400*ln2^2*z2^3 - 118436256*z2^4 - 283248000*li5half*z3 - 
    56448000*li4half*ln2*z3 + 8400*ln2^5*z3 + 4620000*ln2^3*z2*z3 + 
    76167000*ln2*z2^2*z3 + 26365500*ln2^2*z3^2 + 230359500*z2*z3^2 + 
    589806000*ln2*z2*z5 - 373944375*z3*z5)/56448000, 
 H[0, 1, 1, 1, -1, -1, -1, -1, 1] -> 
  (-4032000*li4half^2 - 193536000*li8half + 8064000*li7half*ln2 + 
    4032000*li6half*ln2^2 - 4032000*li5half*ln2^3 - 672000*li4half*ln2^4 + 
    11800*ln2^8 + 2592000*ln2^2*s6 - 2592000*ln2*s7a - 22752000*ln2*s7b - 
    22898925*s8a - 239400000*s8b - 2016000*s8c - 38304000*s8d + 
    16128000*li6half*z2 + 2016000*li4half*ln2^2*z2 + 106400*ln2^6*z2 + 
    100800000*s6*z2 - 4435200*li4half*z2^2 + 924000*ln2^4*z2^2 + 
    2073600*ln2^2*z2^3 + 20681352*z2^4 + 67536000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 856800*ln2^5*z3 + 13440000*ln2^3*z2*z3 + 
    37222200*ln2*z2^2*z3 - 6106500*ln2^2*z3^2 + 12379500*z2*z3^2 + 
    18228000*ln2^3*z5 + 97704000*ln2*z2*z5 - 40910625*z3*z5 - 
    205993125*ln2*z7)/8064000, H[0, 1, 1, 0, 1, 1, 1, 1, 1] -> 
  (175*s8a - 24*z2^4)/175, H[0, 1, 1, 0, 1, 1, 1, 0, 1] -> 
  (-525*s8a - 22*z2^4 - 210*z2*z3^2 + 945*z3*z5)/210, 
 H[0, 1, 1, 0, 1, 1, 1, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    51609600*ln2^2*s6 - 20966400*ln2*s7a + 21369600*ln2*s7b - 87866100*s8a - 
    428601600*s8b - 61286400*s8c - 34675200*s8d - 124185600*li6half*z2 - 
    67737600*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 
    91929600*s6*z2 - 1854720*li4half*z2^2 - 1370880*ln2^4*z2^2 - 
    15775200*ln2^2*z2^3 + 7569936*z2^4 + 91929600*li5half*z3 - 
    9878400*li4half*ln2*z3 - 1177680*ln2^5*z3 + 10130400*ln2^3*z2*z3 + 
    65358720*ln2*z2^2*z3 - 17589600*ln2^2*z3^2 + 62899200*z2*z3^2 - 
    41013000*ln2^3*z5 + 18156600*ln2*z2*z5 - 64026900*z3*z5 + 
    383854275*ln2*z7)/11289600, H[0, 1, 1, 0, 1, 1, 0, 1, 1] -> 
  (-4725*s8a + 2234*z2^4 + 3500*z2*z3^2 - 15750*z3*z5)/1750, 
 H[0, 1, 1, 0, 1, 1, 0, 0, 1] -> (56700*s8a - 17533*z2^4 - 10500*z2*z3^2 + 
    84000*z3*z5)/21000, H[0, 1, 1, 0, 1, 1, 0, -1, 1] -> 
  (528325*s8a + 3696000*s8b - 2520000*s6*z2 + 141292*z2^4 + 1188250*z2*z3^2 + 
    4882500*ln2*z2*z5 - 3707375*z3*z5 - 7334250*ln2*z7)/448000, 
 H[0, 1, 1, 0, 1, 1, -1, 1, 1] -> 
  (-4233600*li4half^2 - 352800*li4half*ln2^4 - 7350*ln2^8 - 
    1192800*ln2^2*s6 - 1685775*s8a + 5426400*s8b - 1142400*s8c + 
    3964800*s8d - 11289600*li6half*z2 - 8467200*li5half*ln2*z2 - 
    2116800*li4half*ln2^2*z2 - 33320*ln2^6*z2 - 11810400*s6*z2 + 
    3262560*li4half*z2^2 + 459340*ln2^4*z2^2 + 435120*ln2^2*z2^3 + 
    422094*z2^4 + 5006400*li5half*z3 - 41720*ln2^5*z3 - 200200*ln2^3*z2*z3 + 
    2354520*ln2*z2^2*z3 + 642075*ln2^2*z3^2 + 2521575*z2*z3^2 + 
    11894400*ln2*z2*z5 - 6432825*z3*z5)/940800, 
 H[0, 1, 1, 0, 1, 1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    18144000*ln2^2*s6 + 39129825*s8a + 34608000*s8b + 36288000*s8c - 
    36288000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    57288000*s6*z2 - 35246400*li4half*z2^2 + 2059400*ln2^4*z2^2 + 
    4502400*ln2^2*z2^3 + 15207292*z2^4 - 87360000*li5half*z3 + 
    728000*ln2^5*z3 - 7280000*ln2^3*z2*z3 - 51051000*ln2*z2^2*z3 - 
    5103000*ln2^2*z3^2 - 27914250*z2*z3^2 - 108864000*ln2*z2*z5 + 
    108163125*z3*z5)/9408000, H[0, 1, 1, 0, 1, 1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    341712000*ln2^2*s6 - 145152000*ln2*s7a - 102816000*ln2*s7b - 
    235673550*s8a - 1360800000*s8b - 181440000*s8c - 270144000*s8d + 
    451584000*li6half*z2 + 508032000*li5half*ln2*z2 + 
    296352000*li4half*ln2^2*z2 + 8741600*ln2^6*z2 + 730800000*s6*z2 + 
    17942400*li4half*z2^2 - 35120400*ln2^4*z2^2 - 133408800*ln2^2*z2^3 - 
    20239488*z2^4 + 469728000*li5half*z3 - 296352000*li4half*ln2*z3 - 
    16262400*ln2^5*z3 + 137928000*ln2^3*z2*z3 + 417967200*ln2*z2^2*z3 - 
    184810500*ln2^2*z3^2 + 239274000*z2*z3^2 - 41013000*ln2^3*z5 + 
    721980000*ln2*z2*z5 - 1023765750*z3*z5 - 1219026375*ln2*z7)/56448000, 
 H[0, 1, 1, 0, 1, 0, 1, 1, 1] -> (1400*s8a - 976*z2^4 - 2100*z2*z3^2 + 
    8575*z3*z5)/350, H[0, 1, 1, 0, 1, 0, 1, 0, 1] -> 
  (12600*s8a + 4121*z2^4 + 28000*z2*z3^2 - 91000*z3*z5)/7000, 
 H[0, 1, 1, 0, 1, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    28224000*ln2^2*s6 + 92736000*ln2*s7a + 92736000*ln2*s7b - 25663050*s8a + 
    178920000*s8b - 129024000*s8c + 129024000*s8d + 508032000*li6half*z2 + 
    338688000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    113400000*s6*z2 - 24998400*li4half*z2^2 - 1041600*ln2^4*z2^2 + 
    25704000*ln2^2*z2^3 - 100621728*z2^4 - 258048000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 6266400*ln2^5*z3 - 46200000*ln2^3*z2*z3 - 
    122774400*ln2*z2^2*z3 + 134064000*ln2^2*z3^2 + 80671500*z2*z3^2 + 
    291942000*ln2*z2*z5 - 41910750*z3*z5 - 80112375*ln2*z7)/28224000, 
 H[0, 1, 1, 0, 1, 0, 0, 1, 1] -> (-37800*s8a + 17897*z2^4 + 28000*z2*z3^2 - 
    126000*z3*z5)/7000, H[0, 1, 1, 0, 1, 0, 0, 0, 1] -> 
  (150*s8a - 661*z2^4 - 375*z2*z3^2 + 3375*z3*z5)/375, 
 H[0, 1, 1, 0, 1, 0, 0, -1, 1] -> 
  (-530775*s8a - 3584000*s8b + 1176000*s6*z2 - 326444*z2^4 - 610750*z2*z3^2 - 
    2278500*ln2*z2*z5 + 3058125*z3*z5 + 7112000*ln2*z7)/224000, 
 H[0, 1, 1, 0, 1, 0, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    6048000*ln2^2*s6 - 7438725*s8a + 62496000*s8b + 12096000*s8c - 
    12096000*s8d + 56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 
    705600*ln2^6*z2 - 13440000*s6*z2 - 35347200*li4half*z2^2 - 
    7352800*ln2^4*z2^2 + 8534400*ln2^2*z2^3 + 21419184*z2^4 - 
    74592000*li5half*z3 + 621600*ln2^5*z3 + 18480000*ln2^3*z2*z3 - 
    17967600*ln2*z2^2*z3 - 10962000*ln2^2*z3^2 + 16506000*z2*z3^2 - 
    115888500*ln2*z2*z5 - 25152750*z3*z5)/9408000, 
 H[0, 1, 1, 0, 1, 0, -1, 0, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 + 204750*s8a + 
    806400*li4half*ln2^2*z2 + 33600*ln2^6*z2 + 1068480*li4half*z2^2 - 
    56280*ln2^4*z2^2 - 267120*ln2^2*z2^3 - 357417*z2^4 + 2822400*li5half*z3 - 
    23520*ln2^5*z3 + 235200*ln2^3*z2*z3 + 934920*ln2*z2^2*z3 - 
    166950*z2*z3^2 - 1645875*z3*z5)/201600, H[0, 1, 1, 0, 1, 0, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 76608000*ln2*s7a + 76608000*ln2*s7b - 51984450*s8a - 
    228816000*s8b - 76608000*s8c + 76608000*s8d - 338688000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 197568000*li4half*ln2^2*z2 - 
    5880000*ln2^6*z2 - 206136000*s6*z2 - 32659200*li4half*z2^2 + 
    23335200*ln2^4*z2^2 + 23486400*ln2^2*z2^3 - 11235852*z2^4 - 
    54432000*li5half*z3 + 197568000*li4half*ln2*z3 + 8685600*ln2^5*z3 - 
    103320000*ln2^3*z2*z3 - 79808400*ln2*z2^2*z3 + 134316000*ln2^2*z3^2 + 
    42131250*z2*z3^2 + 107320500*ln2*z2*z5 + 336931875*z3*z5 + 
    988517250*ln2*z7)/28224000, H[0, 1, 1, 0, 1, -1, 1, 1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 - 
    28896000*ln2^2*s6 + 86106825*s8a + 265272000*s8b + 57792000*s8c - 
    15456000*s8d + 112896000*li6half*z2 + 156800*ln2^6*z2 + 16800000*s6*z2 + 
    12432000*li4half*z2^2 + 812000*ln2^4*z2^2 - 3444000*ln2^2*z2^3 - 
    14567268*z2^4 + 12096000*li5half*z3 - 100800*ln2^5*z3 - 
    11340000*ln2^3*z2*z3 - 40471200*ln2*z2^2*z3 - 8127000*ln2^2*z3^2 - 
    96558000*z2*z3^2 + 11392500*ln2^3*z5 - 207553500*ln2*z2*z5 + 
    138962250*z3*z5)/9408000, H[0, 1, 1, 0, 1, -1, 1, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    2016000*ln2^2*s6 - 1143975*s8a - 25242000*s8b - 4032000*s8c + 
    4032000*s8d - 7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 
    3696000*s6*z2 + 2041200*li4half*z2^2 + 967050*ln2^4*z2^2 + 
    1291500*ln2^2*z2^3 - 3822596*z2^4 - 26880000*li5half*z3 + 
    224000*ln2^5*z3 - 2240000*ln2^3*z2*z3 - 273000*ln2*z2^2*z3 + 
    567000*ln2^2*z3^2 + 2583000*z2*z3^2 + 20640375*ln2*z2*z5 + 
    22055250*z3*z5)/2352000, H[0, 1, 1, 0, 1, -1, 1, -1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    49392000*ln2^2*s6 - 81648000*ln2*s7a - 187488000*ln2*s7b + 
    100491300*s8a + 466200000*s8b + 64512000*s8c + 48384000*s8d - 
    324576000*li6half*z2 + 84672000*li4half*ln2^2*z2 + 3077200*ln2^6*z2 - 
    297864000*s6*z2 + 77414400*li4half*z2^2 - 8534400*ln2^4*z2^2 - 
    3326400*ln2^2*z2^3 + 34248888*z2^4 - 96768000*li5half*z3 - 
    296352000*li4half*ln2*z3 - 11541600*ln2^5*z3 + 115416000*ln2^3*z2*z3 + 
    123303600*ln2*z2^2*z3 - 111132000*ln2^2*z3^2 + 1669500*z2*z3^2 + 
    68355000*ln2^3*z5 + 655546500*ln2*z2*z5 + 58164750*z3*z5 - 
    1723420125*ln2*z7)/28224000, H[0, 1, 1, 0, 1, -1, 0, 1, 1] -> 
  (-2494275*s8a - 5152000*s8b + 1792000*s6*z2 + 33600*li4half*z2^2 + 
    1400*ln2^4*z2^2 - 8400*ln2^2*z2^3 + 767556*z2^4 - 294000*ln2*z2^2*z3 + 
    2058000*z2*z3^2 + 3255000*ln2*z2*z5 - 7134750*z3*z5)/448000, 
 H[0, 1, 1, 0, 1, -1, 0, 0, 1] -> (604275*s8a + 7728000*s8b - 3360000*s6*z2 - 
    2654400*li4half*z2^2 - 110600*ln2^4*z2^2 + 663600*ln2^2*z2^3 + 
    465764*z2^4 - 2646000*ln2*z2^2*z3 - 21000*z2*z3^2 + 1916250*z3*z5)/
   672000, H[0, 1, 1, 0, 1, -1, 0, -1, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    8064000*ln2^2*s6 + 16128000*ln2*s7a + 16128000*ln2*s7b - 9753975*s8a - 
    16128000*s8b - 16128000*s8c + 16128000*s8d + 72576000*li6half*z2 + 
    48384000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 - 134400*ln2^6*z2 + 
    2520000*s6*z2 - 10281600*li4half*z2^2 + 75600*ln2^4*z2^2 + 
    5796000*ln2^2*z2^3 - 17033526*z2^4 - 32256000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 1444800*ln2^5*z3 - 9744000*ln2^3*z2*z3 - 
    19958400*ln2*z2^2*z3 + 22428000*ln2^2*z3^2 - 1764000*z2*z3^2 - 
    51723000*ln2*z2*z5 + 42351750*z3*z5 + 161524125*ln2*z7)/2016000, 
 H[0, 1, 1, 0, 1, -1, -1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    20328000*ln2^2*s6 + 15250200*s8a + 186144000*s8b + 33600000*s8c + 
    22848000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 
    77448000*s6*z2 - 7425600*li4half*z2^2 - 4719400*ln2^4*z2^2 + 
    12180000*ln2^2*z2^3 + 12267492*z2^4 - 83328000*li5half*z3 + 
    694400*ln2^5*z3 + 11578000*ln2^3*z2*z3 - 48077400*ln2*z2^2*z3 - 
    8804250*ln2^2*z3^2 + 3501750*z2*z3^2 - 11392500*ln2^3*z5 - 
    62433000*ln2*z2*z5 - 5635875*z3*z5)/9408000, 
 H[0, 1, 1, 0, 1, -1, -1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    3628800*ln2^2*s6 + 5952450*s8a + 13507200*s8b + 7257600*s8c - 
    7257600*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 + 
    10516800*s6*z2 + 5792640*li4half*z2^2 - 464240*ln2^4*z2^2 - 
    2310000*ln2^2*z2^3 + 1507708*z2^4 + 22041600*li5half*z3 - 
    183680*ln2^5*z3 + 1836800*ln2^3*z2*z3 + 1643880*ln2*z2^2*z3 - 
    1020600*ln2^2*z3^2 - 8684550*z2*z3^2 - 28608300*ln2*z2*z5 - 
    9075675*z3*z5)/1881600, H[0, 1, 1, 0, 1, -1, -1, -1, 1] -> 
  (70560000*li4half^2 + 5880000*li4half*ln2^4 + 122500*ln2^8 - 
    40572000*ln2^2*s6 + 89208000*ln2*s7a + 78624000*ln2*s7b - 50469300*s8a - 
    113904000*s8b - 86688000*s8c + 72576000*s8d + 119952000*li6half*z2 + 
    42336000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 2538200*ln2^6*z2 - 
    65772000*s6*z2 - 45813600*li4half*z2^2 + 8822100*ln2^4*z2^2 + 
    21168000*ln2^2*z2^3 - 53485758*z2^4 - 116928000*li5half*z3 + 
    160524000*li4half*ln2*z3 + 7662900*ln2^5*z3 - 74571000*ln2^3*z2*z3 - 
    85068900*ln2*z2^2*z3 + 129819375*ln2^2*z3^2 + 21908250*z2*z3^2 + 
    27342000*ln2^3*z5 - 103855500*ln2*z2*z5 + 200584125*z3*z5 + 
    794721375*ln2*z7)/14112000, H[0, 1, 1, 0, 0, 1, 1, 1, 1] -> 
  (-1050*s8a + 428*z2^4 + 525*z2*z3^2 - 2625*z3*z5)/1050, 
 H[0, 1, 1, 0, 0, 1, 1, 0, 1] -> (17*z2^4 - 140*z3*z5)/280, 
 H[0, 1, 1, 0, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    30240000*ln2^2*s6 + 14112000*ln2*s7a - 14112000*ln2*s7b + 54578475*s8a + 
    280728000*s8b + 32256000*s8c + 52416000*s8d - 84672000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 104832000*s6*z2 + 
    35884800*li4half*z2^2 + 3259200*ln2^4*z2^2 - 9273600*ln2^2*z2^3 - 
    15146004*z2^4 - 104832000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1184400*ln2^5*z3 + 3612000*ln2^3*z2*z3 - 44856000*ln2*z2^2*z3 + 
    13104000*ln2^2*z3^2 - 58259250*z2*z3^2 + 27342000*ln2^3*z5 + 
    28255500*ln2*z2*z5 + 200851875*z3*z5 - 70008750*ln2*z7)/28224000, 
 H[0, 1, 1, 0, 0, 1, 0, 1, 1] -> (18900*s8a - 8751*z2^4 - 10500*z2*z3^2 + 
    56000*z3*z5)/7000, H[0, 1, 1, 0, 0, 1, 0, 0, 1] -> 
  (2975*s8a - 1264*z2^4 + 875*z2*z3^2 + 9625*z3*z5)/1750, 
 H[0, 1, 1, 0, 0, 1, 0, -1, 1] -> (138950*s8a + 728000*s8b - 504000*s6*z2 + 
    2992*z2^4 + 171500*z2*z3^2 + 976500*ln2*z2*z5 - 491750*z3*z5 - 
    1444625*ln2*z7)/224000, H[0, 1, 1, 0, 0, 1, -1, 1, 1] -> 
  (-201600*ln2^2*s6 + 3371550*s8a - 10852800*s8b + 2284800*s8c - 
    7929600*s8d + 5644800*li5half*ln2*z2 - 47040*ln2^6*z2 + 10214400*s6*z2 - 
    1585920*li4half*z2^2 + 404320*ln2^4*z2^2 + 1071840*ln2^2*z2^3 + 
    954952*z2^4 + 5980800*li5half*z3 - 49840*ln2^5*z3 - 1971200*ln2^3*z2*z3 + 
    2352840*ln2*z2^2*z3 - 2217600*ln2^2*z3^2 - 596400*z2*z3^2 - 
    12366900*ln2*z2*z5 - 3330075*z3*z5)/1881600, 
 H[0, 1, 1, 0, 0, 1, -1, 0, 1] -> (1344000*ln2^2*s6 - 1258425*s8a - 
    4200000*s8b - 2688000*s8c + 2688000*s8d - 1680000*s6*z2 + 
    537600*li4half*z2^2 + 22400*ln2^4*z2^2 - 67200*ln2^2*z2^3 - 
    1350318*z2^4 - 672000*li5half*z3 + 5600*ln2^5*z3 - 56000*ln2^3*z2*z3 - 
    96600*ln2*z2^2*z3 + 378000*ln2^2*z3^2 + 740250*z2*z3^2 + 
    8064000*ln2*z2*z5 + 4664625*z3*z5)/672000, 
 H[0, 1, 1, 0, 0, 1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    33264000*ln2^2*s6 - 52416000*ln2*s7a - 24192000*ln2*s7b + 5485725*s8a - 
    30240000*s8b + 10080000*s8c - 10080000*s8d - 338688000*li6half*z2 - 
    254016000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 470400*ln2^6*z2 - 
    128016000*s6*z2 + 23385600*li4half*z2^2 - 4317600*ln2^4*z2^2 - 
    24292800*ln2^2*z2^3 + 41688156*z2^4 + 69552000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 2637600*ln2^5*z3 + 42840000*ln2^3*z2*z3 + 
    35141400*ln2*z2^2*z3 - 38493000*ln2^2*z3^2 + 46572750*z2*z3^2 - 
    27342000*ln2^3*z5 + 388552500*ln2*z2*z5 - 48651750*z3*z5 - 
    340239375*ln2*z7)/28224000, H[0, 1, 1, 0, 0, 0, 1, 1, 1] -> 
  (-6300*s8a + 3907*z2^4 + 8400*z2*z3^2 - 33600*z3*z5)/4200, 
 H[0, 1, 1, 0, 0, 0, 1, 0, 1] -> (-4725*s8a + 1489*z2^4 - 2625*z2*z3^2 - 
    5250*z3*z5)/2625, H[0, 1, 1, 0, 0, 0, 1, -1, 1] -> 
  (-5376000*ln2*s7a - 5376000*ln2*s7b + 2066925*s8a - 8736000*s8b + 
    10752000*s8c - 10752000*s8d + 20328000*s6*z2 - 2150400*li4half*z2^2 - 
    89600*ln2^4*z2^2 - 672000*ln2^2*z2^3 + 4441148*z2^4 + 
    21504000*li5half*z3 - 179200*ln2^5*z3 + 1792000*ln2^3*z2*z3 + 
    9996000*ln2*z2^2*z3 - 8232000*ln2^2*z3^2 - 7953750*z2*z3^2 - 
    47775000*ln2*z2*z5 - 17721375*z3*z5 + 17834250*ln2*z7)/4704000, 
 H[0, 1, 1, 0, 0, 0, 0, 1, 1] -> (210*s8a - 142*z2^4 - 210*z2*z3^2 + 
    1155*z3*z5)/210, H[0, 1, 1, 0, 0, 0, 0, 0, 1] -> 
  (-2*(175*s8a - 227*z2^4 + 1750*z3*z5))/875, 
 H[0, 1, 1, 0, 0, 0, 0, -1, 1] -> (235200*s8a + 1512000*s8b - 504000*s6*z2 + 
    77992*z2^4 + 210000*z2*z3^2 + 976500*ln2*z2*z5 - 703500*z3*z5 - 
    3000375*ln2*z7)/336000, H[0, 1, 1, 0, 0, 0, -1, 1, 1] -> 
  (2688000*ln2^2*s6 - 7036575*s8a - 19152000*s8b - 5376000*s8c + 
    5376000*s8d + 8064000*s6*z2 + 1075200*li4half*z2^2 + 44800*ln2^4*z2^2 - 
    134400*ln2^2*z2^3 - 1606912*z2^4 - 10752000*li5half*z3 + 89600*ln2^5*z3 - 
    896000*ln2^3*z2*z3 - 7341600*ln2*z2^2*z3 + 4872000*ln2^2*z3^2 - 
    672000*z2*z3^2 + 13261500*ln2*z2*z5 + 23110500*z3*z5)/4704000, 
 H[0, 1, 1, 0, 0, 0, -1, 0, 1] -> (-6825*s8a + 4997*z2^4 + 840*z2*z3^2 - 
    38640*z3*z5)/6720, H[0, 1, 1, 0, 0, 0, -1, -1, 1] -> 
  (-2688000*ln2^2*s6 + 5376000*ln2*s7a + 5376000*ln2*s7b - 2406075*s8a + 
    4368000*s8b - 5376000*s8c + 5376000*s8d - 10752000*s6*z2 + 
    1075200*li4half*z2^2 + 44800*ln2^4*z2^2 + 806400*ln2^2*z2^3 - 
    1830632*z2^4 - 10752000*li5half*z3 + 89600*ln2^5*z3 - 
    896000*ln2^3*z2*z3 - 2654400*ln2*z2^2*z3 + 3360000*ln2^2*z3^2 + 
    5208000*z2*z3^2 + 336000*ln2*z2*z5 + 3706500*z3*z5 + 28838250*ln2*z7)/
   4704000, H[0, 1, 1, 0, 0, -1, 1, 1, 1] -> 
  (7056000*li4half^2 + 588000*li4half*ln2^4 + 12250*ln2^8 + 
    2184000*ln2^2*s6 - 7769475*s8a - 420000*s8b - 4368000*s8c + 6720000*s8d - 
    8736000*s6*z2 - 1243200*li4half*z2^2 - 492800*ln2^4*z2^2 - 
    273000*ln2^2*z2^3 + 487994*z2^4 - 13440000*li5half*z3 + 112000*ln2^5*z3 + 
    1967000*ln2^3*z2*z3 - 798000*ln2*z2^2*z3 + 614250*ln2^2*z3^2 + 
    7318500*z2*z3^2 - 759500*ln2^3*z5 + 15382500*ln2*z2*z5 - 8578500*z3*z5)/
   2352000, H[0, 1, 1, 0, 0, -1, 1, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 
    1008000*ln2^2*s6 + 481950*s8a + 3150000*s8b + 2016000*s8c - 2016000*s8d + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 + 1512000*s6*z2 - 
    579600*li4half*z2^2 - 150150*ln2^4*z2^2 + 94500*ln2^2*z2^3 + 
    1332117*z2^4 + 4032000*li5half*z3 - 33600*ln2^5*z3 + 336000*ln2^3*z2*z3 - 
    81900*ln2*z2^2*z3 - 283500*ln2^2*z3^2 - 787500*z2*z3^2 - 
    6536250*ln2*z2*z5 - 5819625*z3*z5)/504000, 
 H[0, 1, 1, 0, 0, -1, 1, -1, 1] -> 
  (7056000*li4half^2 + 588000*li4half*ln2^4 + 12250*ln2^8 - 
    9576000*ln2^2*s6 + 17640000*ln2*s7a + 24696000*ln2*s7b - 25122825*s8a - 
    116550000*s8b - 16128000*s8c - 12096000*s8d - 21168000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 617400*ln2^6*z2 + 23310000*s6*z2 - 
    13708800*li4half*z2^2 + 2956800*ln2^4*z2^2 + 9487800*ln2^2*z2^3 + 
    3833238*z2^4 + 24192000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    1856400*ln2^5*z3 - 22680000*ln2^3*z2*z3 - 7956900*ln2*z2^2*z3 + 
    24318000*ln2^2*z3^2 + 21798000*z2*z3^2 - 4557000*ln2^3*z5 - 
    77521500*ln2*z2*z5 - 31326750*z3*z5 + 259693875*ln2*z7)/7056000, 
 H[0, 1, 1, 0, 0, -1, 0, 1, 1] -> 
  (844025*s8a + 224000*s6*z2 + 168000*li4half*z2^2 + 7000*ln2^4*z2^2 - 
    42000*ln2^2*z2^3 - 453296*z2^4 + 147000*ln2*z2^2*z3 - 973000*z2*z3^2 - 
    434000*ln2*z2*z5 + 3553375*z3*z5)/224000, 
 H[0, 1, 1, 0, 0, -1, 0, 0, 1] -> (86275*s8a + 504000*li4half*z2^2 + 
    21000*ln2^4*z2^2 - 126000*ln2^2*z2^3 - 135896*z2^4 + 441000*ln2*z2^2*z3 + 
    115500*z2*z3^2 - 263375*z3*z5)/112000, H[0, 1, 1, 0, 0, -1, 0, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    8064000*ln2^2*s6 - 16128000*ln2*s7a - 16128000*ln2*s7b + 9753975*s8a + 
    16128000*s8b + 16128000*s8c - 16128000*s8d + 8064000*li4half*ln2^2*z2 + 
    336000*ln2^6*z2 + 25704000*s6*z2 + 10483200*li4half*z2^2 - 
    571200*ln2^4*z2^2 - 5846400*ln2^2*z2^3 + 6619176*z2^4 + 
    32256000*li5half*z3 - 28224000*li4half*ln2*z3 - 1444800*ln2^5*z3 + 
    9744000*ln2^3*z2*z3 + 19958400*ln2*z2^2*z3 - 22428000*ln2^2*z3^2 - 
    8709750*z2*z3^2 + 11686500*ln2*z2*z5 - 44123625*z3*z5 - 144522000*ln2*z7)/
   2016000, H[0, 1, 1, 0, 0, -1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    2016000*ln2^2*s6 + 33300225*s8a + 76104000*s8b - 10080000*s8c + 
    38304000*s8d - 84672000*li5half*ln2*z2 - 35280000*li4half*ln2^2*z2 - 
    764400*ln2^6*z2 - 48384000*s6*z2 + 44352000*li4half*z2^2 + 
    7140000*ln2^4*z2^2 - 12171600*ln2^2*z2^3 - 32908224*z2^4 + 
    71568000*li5half*z3 - 596400*ln2^5*z3 - 12558000*ln2^3*z2*z3 + 
    24557400*ln2*z2^2*z3 + 8694000*ln2^2*z3^2 - 52636500*z2*z3^2 + 
    4557000*ln2^3*z5 + 81837000*ln2*z2*z5 + 120700125*z3*z5)/14112000, 
 H[0, 1, 1, 0, 0, -1, -1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 1633275*s8a - 
    8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 - 1008000*s6*z2 - 
    9172800*li4half*z2^2 + 625800*ln2^4*z2^2 + 2293200*ln2^2*z2^3 + 
    2734776*z2^4 - 28224000*li5half*z3 + 235200*ln2^5*z3 - 
    2352000*ln2^3*z2*z3 - 8026200*ln2*z2^2*z3 + 4126500*z2*z3^2 + 
    1953000*ln2*z2*z5 + 11442375*z3*z5)/2016000, 
 H[0, 1, 1, 0, 0, -1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    18144000*ln2^2*s6 - 36288000*ln2*s7a - 43344000*ln2*s7b + 25234650*s8a + 
    56952000*s8b + 43344000*s8c - 36288000*s8d + 63504000*li6half*z2 + 
    63504000*li5half*ln2*z2 + 45864000*li4half*ln2^2*z2 + 1470000*ln2^6*z2 + 
    84924000*s6*z2 + 16732800*li4half*z2^2 - 5035800*ln2^4*z2^2 - 
    11440800*ln2^2*z2^3 + 10246434*z2^4 + 47880000*li5half*z3 - 
    74088000*li4half*ln2*z3 - 3486000*ln2^5*z3 + 31773000*ln2^3*z2*z3 + 
    37100700*ln2*z2^2*z3 - 55093500*ln2^2*z3^2 - 32728500*z2*z3^2 + 
    4557000*ln2^3*z5 - 33248250*ln2*z2*z5 - 81577125*z3*z5 - 
    352288125*ln2*z7)/7056000, H[0, 1, 1, 0, -1, 1, 1, 1, 1] -> 
  (39312000*ln2^2*s6 - 164182725*s8a - 1319976000*s8b - 78624000*s8c - 
    76608000*s8d - 225792000*li6half*z2 - 313600*ln2^6*z2 + 569520000*s6*z2 - 
    37900800*li4half*z2^2 + 3124800*ln2^4*z2^2 - 3326400*ln2^2*z2^3 + 
    23642064*z2^4 + 266112000*li5half*z3 - 2217600*ln2^5*z3 + 
    9828000*ln2^3*z2*z3 + 94386600*ln2*z2^2*z3 + 11056500*ln2^2*z3^2 - 
    10048500*z2*z3^2 + 235872000*ln2*z2*z5 + 100429875*z3*z5)/56448000, 
 H[0, 1, 1, 0, -1, 1, 1, 0, 1] -> (504000*ln2^2*s6 - 1376550*s8a + 
    3318000*s8b - 1008000*s8c + 1008000*s8d - 4485600*s6*z2 - 
    268800*li4half*z2^2 - 11200*ln2^4*z2^2 - 77700*ln2^2*z2^3 - 35128*z2^4 - 
    134400*li5half*z3 + 1120*ln2^5*z3 - 11200*ln2^3*z2*z3 + 
    1187130*ln2*z2^2*z3 + 141750*ln2^2*z3^2 + 1579200*z2*z3^2 + 
    3024000*ln2*z2*z5 - 3263925*z3*z5)/470400, 
 H[0, 1, 1, 0, -1, 1, 1, -1, 1] -> (-94416000*ln2^2*s6 + 25536000*ln2*s7a - 
    45024000*ln2*s7b + 148368675*s8a + 785064000*s8b + 137760000*s8c + 
    73920000*s8d + 254016000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    352800*ln2^6*z2 - 112560000*s6*z2 + 14784000*li4half*z2^2 + 
    2380000*ln2^4*z2^2 + 25754400*ln2^2*z2^3 - 26408832*z2^4 - 
    223104000*li5half*z3 + 1859200*ln2^5*z3 - 18592000*ln2^3*z2*z3 - 
    134925000*ln2*z2^2*z3 + 12547500*ln2^2*z3^2 - 194092500*z2*z3^2 + 
    68355000*ln2^3*z5 - 519603000*ln2*z2*z5 + 371791875*z3*z5 + 
    27365625*ln2*z7)/18816000, H[0, 1, 1, 0, -1, 1, 0, 1, 1] -> 
  (1278025*s8a + 5152000*s8b - 3472000*s6*z2 - 537600*li4half*z2^2 - 
    22400*ln2^4*z2^2 + 134400*ln2^2*z2^3 - 163696*z2^4 - 147000*ln2*z2^2*z3 + 
    626500*z2*z3^2 - 238875*z3*z5)/448000, H[0, 1, 1, 0, -1, 1, 0, 0, 1] -> 
  (68025*s8a - 552000*s8b + 240000*s6*z2 - 134400*li4half*z2^2 - 
    5600*ln2^4*z2^2 + 33600*ln2^2*z2^3 - 19421*z2^4 - 94500*ln2*z2^2*z3 - 
    55500*z2*z3^2 + 569625*z3*z5)/48000, H[0, 1, 1, 0, -1, 1, 0, -1, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    8064000*ln2^2*s6 + 16128000*ln2*s7a + 16128000*ln2*s7b - 2184525*s8a + 
    15624000*s8b - 16128000*s8c + 16128000*s8d - 145152000*li6half*z2 - 
    96768000*li5half*ln2*z2 - 32256000*li4half*ln2^2*z2 - 739200*ln2^6*z2 - 
    118440000*s6*z2 - 10886400*li4half*z2^2 + 1562400*ln2^4*z2^2 + 
    5947200*ln2^2*z2^3 + 11634516*z2^4 - 32256000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 1444800*ln2^5*z3 - 9744000*ln2^3*z2*z3 - 
    19958400*ln2*z2^2*z3 + 22428000*ln2^2*z3^2 + 42336000*z2*z3^2 + 
    138694500*ln2*z2*z5 + 23128875*z3*z5 + 47509875*ln2*z7)/4032000, 
 H[0, 1, 1, 0, -1, 1, -1, 1, 1] -> (-4284000*ln2^2*s6 + 69791400*s8a + 
    110124000*s8b + 61488000*s8c - 65016000*s8d + 225792000*li6half*z2 + 
    63504000*li5half*ln2*z2 - 215600*ln2^6*z2 + 161784000*s6*z2 - 
    13003200*li4half*z2^2 + 46200*ln2^4*z2^2 - 12927600*ln2^2*z2^3 - 
    9990936*z2^4 + 18900000*li5half*z3 - 157500*ln2^5*z3 - 
    13860000*ln2^3*z2*z3 - 25420500*ln2*z2^2*z3 - 34776000*ln2^2*z3^2 - 
    83711250*z2*z3^2 - 249952500*ln2*z2*z5 + 23963625*z3*z5)/14112000, 
 H[0, 1, 1, 0, -1, 1, -1, 0, 1] -> (8064000*ln2^2*s6 - 13193775*s8a - 
    100968000*s8b - 16128000*s8c + 16128000*s8d + 32424000*s6*z2 + 
    3225600*li4half*z2^2 + 134400*ln2^4*z2^2 + 6400800*ln2^2*z2^3 - 
    8231164*z2^4 - 8736000*li5half*z3 + 72800*ln2^5*z3 - 728000*ln2^3*z2*z3 - 
    5413800*ln2*z2^2*z3 + 2268000*ln2^2*z3^2 - 5838000*z2*z3^2 + 
    48384000*ln2*z2*z5 + 58067625*z3*z5)/9408000, 
 H[0, 1, 1, 0, -1, 1, -1, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 - 
    8400000*ln2^2*s6 - 7257600*ln2*s7a - 10080000*ln2*s7b + 19537350*s8a + 
    73516800*s8b + 17203200*s8c + 2553600*s8d - 62092800*li6half*z2 - 
    33868800*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 
    48854400*s6*z2 + 5591040*li4half*z2^2 + 468160*ln2^4*z2^2 + 
    3121440*ln2^2*z2^3 + 8248584*z2^4 - 2755200*li5half*z3 - 
    9878400*li4half*ln2*z3 - 388640*ln2^5*z3 + 4709600*ln2^3*z2*z3 - 
    4855200*ln2*z2^2*z3 - 4523400*ln2^2*z3^2 - 3567900*z2*z3^2 + 
    2734200*ln2^3*z5 + 43709400*ln2*z2*z5 + 14503650*z3*z5 - 
    104083875*ln2*z7)/3763200, H[0, 1, 1, 0, -1, 0, 1, 1, 1] -> 
  (78925*s8a - 53912*z2^4 - 114100*z2*z3^2 + 468825*z3*z5)/89600, 
 H[0, 1, 1, 0, -1, 0, 1, 0, 1] -> (140525*s8a - 19871*z2^4 + 91000*z2*z3^2 - 
    196875*z3*z5)/112000, H[0, 1, 1, 0, -1, 0, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    14112000*ln2^2*s6 + 10080000*ln2*s7a + 10080000*ln2*s7b + 19203975*s8a + 
    39312000*s8b + 8064000*s8c - 8064000*s8d + 254016000*li6half*z2 + 
    169344000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 117600*ln2^6*z2 + 
    111384000*s6*z2 - 27014400*li4half*z2^2 - 1125600*ln2^4*z2^2 + 
    8316000*ln2^2*z2^3 - 24041484*z2^4 + 16128000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 1923600*ln2^5*z3 - 11004000*ln2^3*z2*z3 - 
    22358700*ln2*z2^2*z3 + 11466000*ln2^2*z3^2 - 33059250*z2*z3^2 - 
    152696250*ln2*z2*z5 - 56660625*z3*z5 - 24688125*ln2*z7)/14112000, 
 H[0, 1, 1, 0, -1, 0, 0, 1, 1] -> 
  (-673575*s8a + 311348*z2^4 + 402500*z2*z3^2 - 2020375*z3*z5)/224000, 
 H[0, 1, 1, 0, -1, 0, 0, 0, 1] -> 
  (-156450*s8a - 15677*z2^4 - 126000*z2*z3^2 - 5250*z3*z5)/168000, 
 H[0, 1, 1, 0, -1, 0, 0, -1, 1] -> (-10675*s8a - 41600*s8b + 24000*s6*z2 - 
    308*z2^4 - 10450*z2*z3^2 - 46500*ln2*z2*z5 + 30800*z3*z5 + 82550*ln2*z7)/
   6400, H[0, 1, 1, 0, -1, 0, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    6048000*ln2^2*s6 - 35481600*s8a + 5712000*s8b - 12096000*s8c + 
    12096000*s8d + 56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 
    705600*ln2^6*z2 - 24192000*s6*z2 - 30508800*li4half*z2^2 - 
    7151200*ln2^4*z2^2 + 7929600*ln2^2*z2^3 + 14227224*z2^4 - 
    122976000*li5half*z3 + 1024800*ln2^5*z3 + 14448000*ln2^3*z2*z3 - 
    32041800*ln2*z2^2*z3 + 10962000*ln2^2*z3^2 + 32592000*z2*z3^2 - 
    20821500*ln2*z2*z5 + 8633625*z3*z5)/9408000, 
 H[0, 1, 1, 0, -1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 1278900*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 5342400*li4half*z2^2 - 
    281400*ln2^4*z2^2 - 1335600*ln2^2*z2^3 - 1797741*z2^4 + 
    14112000*li5half*z3 - 117600*ln2^5*z3 + 1176000*ln2^3*z2*z3 + 
    4674600*ln2*z2^2*z3 - 1149750*z2*z3^2 - 7599375*z3*z5)/1008000, 
 H[0, 1, 1, 0, -1, 0, -1, -1, 1] -> 
  (2257920*li4half^2 + 188160*li4half*ln2^4 + 3920*ln2^8 - 2983680*ln2^2*s6 + 
    5967360*ln2*s7a + 5967360*ln2*s7b - 3273480*s8a - 4677120*s8b - 
    5967360*s8c + 5967360*s8d - 13547520*li6half*z2 - 
    13547520*li5half*ln2*z2 - 7902720*li4half*ln2^2*z2 - 235200*ln2^6*z2 - 
    14051520*s6*z2 - 725760*li4half*z2^2 + 957600*ln2^4*z2^2 + 
    1374912*ln2^2*z2^3 - 1037376*z2^4 - 7983360*li5half*z3 + 
    7902720*li4half*ln2*z3 + 395808*ln2^5*z3 - 4616640*ln2^3*z2*z3 - 
    4625712*ln2*z2^2*z3 + 7187040*ln2^2*z3^2 + 4515210*z2*z3^2 + 
    4474260*ln2*z2*z5 + 13622175*z3*z5 + 50912820*ln2*z7)/1128960, 
 H[0, 1, 1, 0, -1, -1, 1, 1, 1] -> (97776000*ln2^2*s6 - 297733275*s8a - 
    1611288000*s8b - 195552000*s8c - 157248000*s8d - 451584000*li6half*z2 - 
    627200*ln2^6*z2 + 462672000*s6*z2 - 31449600*li4half*z2^2 + 
    8097600*ln2^4*z2^2 - 27216000*ln2^2*z2^3 + 65887056*z2^4 + 
    540288000*li5half*z3 - 4502400*ln2^5*z3 + 20328000*ln2^3*z2*z3 + 
    265721400*ln2*z2^2*z3 + 27499500*ln2^2*z3^2 + 227146500*z2*z3^2 + 
    13671000*ln2^3*z5 + 545643000*ln2*z2*z5 - 556471125*z3*z5)/56448000, 
 H[0, 1, 1, 0, -1, -1, 1, 0, 1] -> (10080000*ln2^2*s6 - 7660275*s8a + 
    33432000*s8b - 20160000*s8c + 20160000*s8d - 70896000*s6*z2 - 
    5376000*li4half*z2^2 - 224000*ln2^4*z2^2 - 1554000*ln2^2*z2^3 - 
    6888124*z2^4 - 2688000*li5half*z3 + 22400*ln2^5*z3 - 224000*ln2^3*z2*z3 + 
    20655600*ln2*z2^2*z3 + 2835000*ln2^2*z3^2 + 26292000*z2*z3^2 + 
    67315500*ln2*z2*z5 - 34426875*z3*z5)/9408000, 
 H[0, 1, 1, 0, -1, -1, 1, -1, 1] -> 
  (1128960*li4half^2 + 94080*li4half*ln2^4 + 1960*ln2^8 + 1384320*ln2^2*s6 - 
    1209600*ln2*s7a + 1612800*ln2*s7b - 755475*s8a - 5396160*s8b - 
    349440*s8c - 1344000*s8d + 9031680*li6half*z2 + 3386880*li5half*ln2*z2 + 
    1128960*li4half*ln2^2*z2 + 31360*ln2^6*z2 + 7203840*s6*z2 - 
    1284864*li4half*z2^2 - 312256*ln2^4*z2^2 - 288960*ln2^2*z2^3 - 
    588072*z2^4 + 1182720*li5half*z3 + 1975680*li4half*ln2*z3 + 
    72464*ln2^5*z3 + 98560*ln2^3*z2*z3 - 142968*ln2*z2^2*z3 - 
    1462860*ln2^2*z3^2 - 481740*z2*z3^2 - 2916480*ln2^3*z5 - 
    8363880*ln2*z2*z5 - 3415335*z3*z5 + 8887410*ln2*z7)/752640, 
 H[0, 1, 1, 0, -1, -1, 0, 1, 1] -> (160*s8a - 1920*s6*z2 - 376*z2^4 + 
    520*z2*z3^2 + 3720*ln2*z2*z5 + 75*z3*z5)/2560, 
 H[0, 1, 1, 0, -1, -1, 0, 0, 1] -> 
  (-122325*s8a + 12388*z2^4 - 42000*z2*z3^2 + 246750*z3*z5)/672000, 
 H[0, 1, 1, 0, -1, -1, 0, -1, 1] -> (-40775*s8a - 336000*s6*z2 - 40804*z2^4 + 
    45500*z2*z3^2 + 651000*ln2*z2*z5 + 8750*z3*z5)/224000, 
 H[0, 1, 1, 0, -1, -1, -1, 1, 1] -> 
  (6048000*li4half^2 + 504000*li4half*ln2^4 + 10500*ln2^8 + 
    7560000*ln2^2*s6 - 18115650*s8a - 69048000*s8b - 12096000*s8c - 
    5040000*s8d - 16128000*li6half*z2 + 6048000*li5half*ln2*z2 + 
    3024000*li4half*ln2^2*z2 + 53200*ln2^6*z2 + 13104000*s6*z2 - 
    4536000*li4half*z2^2 - 483000*ln2^4*z2^2 - 968400*ln2^2*z2^3 + 
    3451896*z2^4 + 7560000*li5half*z3 - 63000*ln2^5*z3 + 
    2394000*ln2^3*z2*z3 + 8883000*ln2*z2^2*z3 + 2677500*ln2^2*z3^2 + 
    16758000*z2*z3^2 - 976500*ln2^3*z5 + 31563000*ln2*z2*z5 - 27869625*z3*z5)/
   4032000, H[0, 1, 1, 0, -1, -1, -1, 0, 1] -> 
  (-1152000*li4half^2 - 96000*li4half*ln2^4 - 2000*ln2^8 + 108900*s8a + 
    576000*li4half*ln2^2*z2 + 24000*ln2^6*z2 + 216000*s6*z2 + 
    763200*li4half*z2^2 - 40200*ln2^4*z2^2 - 190800*ln2^2*z2^3 - 
    187836*z2^4 + 2016000*li5half*z3 - 16800*ln2^5*z3 + 168000*ln2^3*z2*z3 + 
    667800*ln2*z2^2*z3 - 198000*z2*z3^2 - 418500*ln2*z2*z5 - 1231875*z3*z5)/
   576000, H[0, 1, 1, 0, -1, -1, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    16632000*ln2^2*s6 + 33264000*ln2*s7a + 54432000*ln2*s7b - 41600475*s8a - 
    111888000*s8b - 54432000*s8c + 33264000*s8d - 84672000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 49392000*li4half*ln2^2*z2 - 1470000*ln2^6*z2 - 
    77112000*s6*z2 - 5342400*li4half*z2^2 + 5951400*ln2^4*z2^2 + 
    7988400*ln2^2*z2^3 - 8910576*z2^4 - 41832000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 2406600*ln2^5*z3 - 28182000*ln2^3*z2*z3 - 
    21495600*ln2*z2^2*z3 + 42399000*ln2^2*z3^2 + 45785250*z2*z3^2 - 
    13671000*ln2^3*z5 + 43753500*ln2*z2*z5 + 61369875*z3*z5 + 
    412421625*ln2*z7)/28224000, H[0, 1, 1, -1, 1, 1, 1, 1, 1] -> 
  (1749888000*li8half + 43400*ln2^8 - 47376000*ln2^2*s6 + 103056975*s8a + 
    36792000*s8b + 94752000*s8c - 94752000*s8d - 846720000*li6half*z2 - 
    627200*ln2^6*z2 + 189504000*s6*z2 - 86688000*li4half*z2^2 - 
    201600*ln2^4*z2^2 + 16077600*ln2^2*z2^3 + 27417816*z2^4 - 
    92736000*li5half*z3 + 1184400*ln2^5*z3 - 11844000*ln2^3*z2*z3 - 
    104819400*ln2*z2^2*z3 - 13324500*ln2^2*z3^2 - 60700500*z2*z3^2 - 
    284256000*ln2*z2*z5 + 60330375*z3*z5)/56448000, 
 H[0, 1, 1, -1, 1, 1, 1, 0, 1] -> (-14112000*li4half^2 - 1128960000*li8half - 
    1176000*li4half*ln2^4 - 52500*ln2^8 + 136080000*ln2^2*s6 - 
    338031225*s8a - 1282680000*s8b - 272160000*s8c + 18144000*s8d + 
    169344000*li6half*z2 - 14112000*li4half*ln2^2*z2 + 431200*ln2^6*z2 + 
    83664000*s6*z2 + 44553600*li4half*z2^2 + 7736400*ln2^4*z2^2 - 
    30088800*ln2^2*z2^3 - 14521536*z2^4 + 471744000*li5half*z3 - 
    24696000*li4half*ln2*z3 - 4960200*ln2^5*z3 + 26376000*ln2^3*z2*z3 + 
    339708600*ln2*z2^2*z3 + 25924500*ln2^2*z3^2 + 203458500*z2*z3^2 + 
    816480000*ln2*z2*z5 - 249251625*z3*z5)/28224000, 
 H[0, 1, 1, -1, 1, 1, 1, -1, 1] -> 
  (-56448000*li4half^2 - 1016064000*li8half - 28224000*li7half*ln2 - 
    4704000*li4half*ln2^4 - 117600*ln2^8 + 124992000*ln2^2*s6 - 
    58464000*ln2*s7a + 12096000*ln2*s7b - 220281075*s8a - 1453032000*s8b - 
    133056000*s8c - 92736000*s8d + 28224000*li6half*z2 - 
    254016000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 548800*ln2^6*z2 + 
    368928000*s6*z2 + 32256000*li4half*z2^2 + 4401600*ln2^4*z2^2 - 
    35380800*ln2^2*z2^3 + 29323548*z2^4 + 298368000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 6808200*ln2^5*z3 + 26922000*ln2^3*z2*z3 + 
    214716600*ln2*z2^2*z3 - 65173500*ln2^2*z3^2 + 82813500*z2*z3^2 - 
    68355000*ln2^3*z5 + 192087000*ln2*z2*z5 + 127126125*z3*z5 + 
    767371500*ln2*z7)/28224000, H[0, 1, 1, -1, 1, 1, 0, 1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 - 
    73584000*ln2^2*s6 + 221317425*s8a + 2052792000*s8b + 147168000*s8c + 
    276192000*s8d + 620928000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 
    2626400*ln2^6*z2 - 742896000*s6*z2 - 33667200*li4half*z2^2 - 
    24922800*ln2^4*z2^2 + 6904800*ln2^2*z2^3 - 55021752*z2^4 - 
    495936000*li5half*z3 + 74088000*li4half*ln2*z3 + 7219800*ln2^5*z3 + 
    5124000*ln2^3*z2*z3 - 282051000*ln2*z2^2*z3 + 14805000*ln2^2*z3^2 - 
    126252000*z2*z3^2 - 441504000*ln2*z2*z5 + 132953625*z3*z5)/28224000, 
 H[0, 1, 1, -1, 1, 1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    73584000*ln2^2*s6 - 221317425*s8a - 2052792000*s8b - 147168000*s8c - 
    276192000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    834624000*s6*z2 - 218937600*li4half*z2^2 + 15573600*ln2^4*z2^2 - 
    16430400*ln2^2*z2^3 + 46186632*z2^4 + 270144000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 4309200*ln2^5*z3 + 13692000*ln2^3*z2*z3 + 
    183796200*ln2*z2^2*z3 + 8347500*ln2^2*z3^2 + 150286500*z2*z3^2 + 
    441504000*ln2*z2*z5 - 102083625*z3*z5)/28224000, 
 H[0, 1, 1, -1, 1, 1, 0, -1, 1] -> (84672000*li4half^2 - 1935360000*li8half - 
    387072000*li7half*ln2 + 7056000*li4half*ln2^4 + 175800*ln2^8 + 
    176400000*ln2^2*s6 + 12096000*ln2*s7a + 96768000*ln2*s7b - 
    535029075*s8a - 3483144000*s8b - 376992000*s8c - 288288000*s8d + 
    245952000*li6half*z2 + 36288000*li5half*ln2*z2 - 
    60480000*li4half*ln2^2*z2 - 2749600*ln2^6*z2 + 990864000*s6*z2 - 
    132652800*li4half*z2^2 + 9055200*ln2^4*z2^2 - 12636000*ln2^2*z2^3 + 
    100860408*z2^4 + 495936000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    2041200*ln2^5*z3 + 8652000*ln2^3*z2*z3 + 307402200*ln2*z2^2*z3 + 
    70339500*ln2^2*z3^2 + 383166000*z2*z3^2 - 82026000*ln2^3*z5 + 
    896805000*ln2*z2*z5 - 250747875*z3*z5 + 769797000*ln2*z7)/8064000, 
 H[0, 1, 1, -1, 1, 1, -1, 1, 1] -> 
  (338688000*li4half^2 - 1016064000*li8half - 28224000*li6half*ln2^2 + 
    28224000*li4half*ln2^4 + 523600*ln2^8 + 320544000*ln2^2*s6 - 
    702602775*s8a - 2998296000*s8b - 429408000*s8c - 290304000*s8d + 
    536256000*li6half*z2 + 508032000*li5half*ln2*z2 + 
    211680000*li4half*ln2^2*z2 + 5566400*ln2^6*z2 + 1046304000*s6*z2 - 
    282441600*li4half*z2^2 - 43932000*ln2^4*z2^2 - 53575200*ln2^2*z2^3 + 
    116137296*z2^4 + 199584000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    4099200*ln2^5*z3 + 94836000*ln2^3*z2*z3 + 284873400*ln2*z2^2*z3 + 
    74718000*ln2^2*z3^2 + 555786000*z2*z3^2 + 780192000*ln2*z2*z5 - 
    1061589375*z3*z5)/56448000, H[0, 1, 1, -1, 1, 1, -1, 0, 1] -> 
  (-395136000*li4half^2 + 2032128000*li8half - 32928000*li4half*ln2^4 - 
    635600*ln2^8 - 186480000*ln2^2*s6 + 589221675*s8a + 2610216000*s8b + 
    372960000*s8c + 177408000*s8d - 197568000*li6half*z2 + 
    112896000*li4half*ln2^2*z2 + 3018400*ln2^6*z2 - 495936000*s6*z2 + 
    225993600*li4half*z2^2 + 3124800*ln2^4*z2^2 + 11995200*ln2^2*z2^3 - 
    169749792*z2^4 - 241920000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    2100000*ln2^5*z3 - 68376000*ln2^3*z2*z3 - 293517000*ln2*z2^2*z3 - 
    92578500*ln2^2*z3^2 - 517860000*z2*z3^2 - 1118880000*ln2*z2*z5 + 
    606256875*z3*z5)/56448000, H[0, 1, 1, -1, 1, 1, -1, -1, 1] -> 
  (84672000*li4half^2 + 987840000*li8half + 84672000*li7half*ln2 + 
    14112000*li6half*ln2^2 + 7056000*li4half*ln2^4 + 174300*ln2^8 - 
    348264000*ln2^2*s6 + 96768000*ln2*s7a + 12096000*ln2*s7b + 
    569140425*s8a + 3137400000*s8b + 397152000*s8c + 273168000*s8d + 
    42336000*li6half*z2 - 105840000*li4half*ln2^2*z2 - 4390400*ln2^6*z2 - 
    913248000*s6*z2 - 19454400*li4half*z2^2 + 12037200*ln2^4*z2^2 + 
    104932800*ln2^2*z2^3 - 53917272*z2^4 - 567504000*li5half*z3 + 
    222264000*li4half*ln2*z3 + 14196000*ln2^5*z3 - 105798000*ln2^3*z2*z3 - 
    519120000*ln2*z2^2*z3 + 90357750*ln2^2*z3^2 - 412854750*z2*z3^2 + 
    82026000*ln2^3*z5 - 1033830000*ln2*z2*z5 + 590459625*z3*z5 - 
    238329000*ln2*z7)/28224000, H[0, 1, 1, -1, 1, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    30240000*ln2^2*s6 + 112996275*s8a + 471240000*s8b + 60480000*s8c + 
    38304000*s8d + 112896000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    431200*ln2^6*z2 - 118944000*s6*z2 + 20361600*li4half*z2^2 + 
    2906400*ln2^4*z2^2 + 1310400*ln2^2*z2^3 - 35742636*z2^4 - 
    20160000*li5half*z3 - 24696000*li4half*ln2*z3 - 861000*ln2^5*z3 - 
    14910000*ln2^3*z2*z3 - 33654600*ln2*z2^2*z3 - 19824000*ln2^2*z3^2 - 
    125769000*z2*z3^2 - 181440000*ln2*z2*z5 + 243334875*z3*z5)/9408000, 
 H[0, 1, 1, -1, 1, 0, 1, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    20160000*ln2^2*s6 + 33574275*s8a - 21294000*s8b + 40320000*s8c - 
    40320000*s8d - 84672000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 
    470400*ln2^6*z2 + 40068000*s6*z2 - 17236800*li4half*z2^2 - 
    3364200*ln2^4*z2^2 + 20821500*ln2^2*z2^3 + 31952994*z2^4 - 
    60480000*li5half*z3 + 24696000*li4half*ln2*z3 + 1533000*ln2^5*z3 - 
    630000*ln2^3*z2*z3 - 53093250*ln2*z2^2*z3 + 504000*ln2^2*z3^2 + 
    19593000*z2*z3^2 - 120960000*ln2*z2*z5 - 15561000*z3*z5)/7056000, 
 H[0, 1, 1, -1, 1, 0, 1, -1, 1] -> 
  (98784000*li4half^2 + 13547520000*li8half + 2709504000*li7half*ln2 + 
    8232000*li4half*ln2^4 - 30100*ln2^8 - 2310336000*ln2^2*s6 + 
    665280000*ln2*s7a - 689472000*ln2*s7b + 4844492100*s8a + 
    30317112000*s8b + 3290112000*s8c + 2763936000*s8d - 
    1185408000*li6half*z2 + 254016000*li5half*ln2*z2 + 
    98784000*li4half*ln2^2*z2 + 2234400*ln2^6*z2 - 9278136000*s6*z2 + 
    463881600*li4half*z2^2 - 18950400*ln2^4*z2^2 + 567302400*ln2^2*z2^3 - 
    727794504*z2^4 - 5245632000*li5half*z3 + 172872000*li4half*ln2*z3 + 
    50916600*ln2^5*z3 - 477708000*ln2^3*z2*z3 - 3656671200*ln2*z2^2*z3 + 
    381276000*ln2^2*z3^2 - 3292915500*z2*z3^2 + 1312416000*ln2^3*z5 - 
    7556598000*ln2*z2*z5 + 3685122000*z3*z5 - 6460185375*ln2*z7)/28224000, 
 H[0, 1, 1, -1, 1, 0, 0, 1, 1] -> (70560*ln2^2*s6 - 240345*s8a - 986160*s8b - 
    141120*s8c - 60480*s8d - 161280*li6half*z2 - 224*ln2^6*z2 + 
    278880*s6*z2 + 3360*ln2^4*z2^2 - 23940*ln2^2*z2^3 + 31483*z2^4 + 
    147840*li5half*z3 - 1232*ln2^5*z3 + 19880*ln2^3*z2*z3 + 
    135702*ln2*z2^2*z3 + 24255*ln2^2*z3^2 + 171045*z2*z3^2 + 
    423360*ln2*z2*z5 - 348180*z3*z5)/13440, H[0, 1, 1, -1, 1, 0, 0, 0, 1] -> 
  (-15456000*ln2^2*s6 + 48406575*s8a + 269472000*s8b + 30912000*s8c + 
    25536000*s8d - 91056000*s6*z2 + 22041600*li4half*z2^2 + 
    918400*ln2^4*z2^2 + 1755600*ln2^2*z2^3 - 11186508*z2^4 - 
    32256000*li5half*z3 + 268800*ln2^5*z3 - 2688000*ln2^3*z2*z3 - 
    28081200*ln2*z2^2*z3 - 4347000*ln2^2*z3^2 - 33180000*z2*z3^2 - 
    92736000*ln2*z2*z5 + 81403875*z3*z5)/4704000, 
 H[0, 1, 1, -1, 1, 0, 0, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    23251200*ln2^2*s6 - 9273600*ln2*s7a + 5779200*ln2*s7b - 39078900*s8a - 
    199550400*s8b - 27955200*s8c - 20025600*s8d - 14112000*li6half*z2 - 
    2822400*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 121520*ln2^6*z2 + 
    62395200*s6*z2 + 1004640*li4half*z2^2 - 252140*ln2^4*z2^2 - 
    8722560*ln2^2*z2^3 + 356546*z2^4 + 44755200*li5half*z3 - 
    9878400*li4half*ln2*z3 - 784560*ln2^5*z3 + 5670000*ln2^3*z2*z3 + 
    34006140*ln2*z2^2*z3 - 7969500*ln2^2*z3^2 + 29632050*z2*z3^2 - 
    14582400*ln2^3*z5 + 60266850*ln2*z2*z5 - 62329575*z3*z5 + 
    51885225*ln2*z7)/940800, H[0, 1, 1, -1, 1, 0, -1, 1, 1] -> 
  (-183456000*li4half^2 - 6773760000*li8half + 338688000*li6half*ln2^2 - 
    15288000*li4half*ln2^4 - 16100*ln2^8 + 729288000*ln2^2*s6 - 
    1887229575*s8a - 12054168000*s8b - 1310400000*s8c - 891072000*s8d + 
    1354752000*li6half*z2 - 381024000*li5half*ln2*z2 - 
    119952000*li4half*ln2^2*z2 - 2293200*ln2^6*z2 + 3669624000*s6*z2 - 
    53323200*li4half*z2^2 + 32529000*ln2^4*z2^2 - 199836000*ln2^2*z2^3 + 
    189880128*z2^4 + 1828008000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    19349400*ln2^5*z3 + 216720000*ln2^3*z2*z3 + 1482616800*ln2*z2^2*z3 + 
    104013000*ln2^2*z3^2 + 1100988000*z2*z3^2 + 4238797500*ln2*z2*z5 - 
    645057000*z3*z5)/28224000, H[0, 1, 1, -1, 1, 0, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    132048000*ln2^2*s6 + 230417775*s8a + 830592000*s8b + 264096000*s8c - 
    94752000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    7812000*s6*z2 - 51055200*li4half*z2^2 - 5655300*ln2^4*z2^2 + 
    34057800*ln2^2*z2^3 + 74146974*z2^4 - 198576000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 3712800*ln2^5*z3 - 13020000*ln2^3*z2*z3 - 
    242455500*ln2*z2^2*z3 - 27877500*ln2^2*z3^2 - 178447500*z2*z3^2 - 
    792288000*ln2*z2*z5 + 227579625*z3*z5)/14112000, 
 H[0, 1, 1, -1, 1, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2257920000*li8half - 903168000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 2352000*li4half*ln2^4 - 82600*ln2^8 + 
    480648000*ln2^2*s6 - 197568000*ln2*s7a + 197568000*ln2*s7b - 
    884658075*s8a - 5409264000*s8b - 615552000*s8c - 485184000*s8d + 
    98784000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    35280000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 + 1584240000*s6*z2 - 
    72340800*li4half*z2^2 - 5072200*ln2^4*z2^2 - 111552000*ln2^2*z2^3 + 
    123281808*z2^4 + 952728000*li5half*z3 - 74088000*li4half*ln2*z3 - 
    11026400*ln2^5*z3 + 84686000*ln2^3*z2*z3 + 662138400*ln2*z2^2*z3 - 
    140847000*ln2^2*z3^2 + 636961500*z2*z3^2 - 382788000*ln2^3*z5 + 
    1089900000*ln2*z2*z5 - 745431750*z3*z5 + 1953244125*ln2*z7)/9408000, 
 H[0, 1, 1, -1, 1, -1, 1, 1, 1] -> 
  (-169344000*li4half^2 - 451584000*li8half + 14112000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 422800*ln2^8 - 94752000*ln2^2*s6 + 
    206113950*s8a + 73584000*s8b + 189504000*s8c - 189504000*s8d + 
    169344000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1450400*ln2^6*z2 + 336672000*s6*z2 + 
    46771200*li4half*z2^2 + 22999200*ln2^4*z2^2 + 9223200*ln2^2*z2^3 + 
    30643632*z2^4 + 453096000*li5half*z3 - 74088000*li4half*ln2*z3 - 
    7068600*ln2^5*z3 - 63378000*ln2^3*z2*z3 + 12889800*ln2*z2^2*z3 - 
    62149500*ln2^2*z3^2 - 283027500*z2*z3^2 + 20506500*ln2^3*z5 - 
    630031500*ln2*z2*z5 + 228319875*z3*z5)/28224000, 
 H[0, 1, 1, -1, 1, -1, 1, 0, 1] -> (56448000*li4half^2 + 564480000*li8half + 
    4704000*li4half*ln2^4 + 112000*ln2^8 - 15456000*ln2^2*s6 + 96233025*s8a + 
    752808000*s8b + 30912000*s8c + 112560000*s8d - 28224000*li6half*z2 + 
    14112000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1724800*ln2^6*z2 - 
    289800000*s6*z2 + 13339200*li4half*z2^2 + 2172800*ln2^4*z2^2 - 
    2142000*ln2^2*z2^3 - 55125396*z2^4 - 309792000*li5half*z3 + 
    2581600*ln2^5*z3 - 19446000*ln2^3*z2*z3 - 81706800*ln2*z2^2*z3 - 
    231000*ln2^2*z3^2 - 35679000*z2*z3^2 - 72229500*ln2*z2*z5 + 
    126275625*z3*z5)/9408000, H[0, 1, 1, -1, 1, -1, 1, -1, 1] -> 
  (28224000*li8half - 84672000*li7half*ln2 - 14112000*li5half*ln2^3 + 
    135100*ln2^8 + 100800000*ln2^2*s6 - 123984000*ln2*s7a - 
    145152000*ln2*s7b + 60421725*s8a + 256032000*s8b + 46368000*s8c - 
    4032000*s8d + 42336000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 4214000*ln2^6*z2 - 23688000*s6*z2 + 
    28828800*li4half*z2^2 - 23200800*ln2^4*z2^2 - 27216000*ln2^2*z2^3 + 
    8465976*z2^4 - 97776000*li5half*z3 - 222264000*li4half*ln2*z3 - 
    8240400*ln2^5*z3 + 131796000*ln2^3*z2*z3 + 113740200*ln2*z2^2*z3 - 
    158413500*ln2^2*z3^2 - 14931000*z2*z3^2 + 418918500*ln2*z2*z5 - 
    54046125*z3*z5 - 1450386000*ln2*z7)/28224000, 
 H[0, 1, 1, -1, 1, -1, 0, 1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    42134400*ln2^2*s6 - 131173875*s8a - 528292800*s8b - 84268800*s8c - 
    30038400*s8d - 107251200*li6half*z2 + 16934400*li5half*ln2*z2 + 
    11289600*li4half*ln2^2*z2 + 180320*ln2^6*z2 + 98884800*s6*z2 - 
    17438400*li4half*z2^2 - 1226400*ln2^4*z2^2 - 5760720*ln2^2*z2^3 + 
    19429632*z2^4 + 77716800*li5half*z3 + 19756800*li4half*ln2*z3 + 
    175560*ln2^5*z3 + 14473200*ln2^3*z2*z3 + 65174760*ln2*z2^2*z3 + 
    19876500*ln2^2*z3^2 + 132659100*z2*z3^2 + 277414200*ln2*z2*z5 - 
    246736350*z3*z5)/5644800, H[0, 1, 1, -1, 1, -1, 0, 0, 1] -> 
  (-136080000*ln2^2*s6 + 421578675*s8a + 2252880000*s8b + 272160000*s8c + 
    221760000*s8d + 56448000*li6half*z2 + 78400*ln2^6*z2 - 753984000*s6*z2 - 
    44553600*li4half*z2^2 - 21554400*ln2^4*z2^2 + 94626000*ln2^2*z2^3 - 
    14393952*z2^4 - 210672000*li5half*z3 + 1755600*ln2^5*z3 - 
    33432000*ln2^3*z2*z3 - 406476000*ln2*z2^2*z3 - 47533500*ln2^2*z3^2 - 
    337081500*z2*z3^2 - 816480000*ln2*z2*z5 + 736115625*z3*z5)/28224000, 
 H[0, 1, 1, -1, 1, -1, 0, -1, 1] -> 
  (225792000*li4half^2 + 7902720000*li8half + 1580544000*li7half*ln2 + 
    18816000*li4half*ln2^4 + 274400*ln2^8 - 1022112000*ln2^2*s6 + 
    430416000*ln2*s7a + 56448000*ln2*s7b + 2049363225*s8a + 14421456000*s8b + 
    1183392000*s8c + 1596672000*s8d - 747936000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 411600*ln2^6*z2 - 
    4939704000*s6*z2 + 130939200*li4half*z2^2 - 21063000*ln2^4*z2^2 + 
    236426400*ln2^2*z2^3 - 569501244*z2^4 - 2904048000*li5half*z3 + 
    395136000*li4half*ln2*z3 + 40664400*ln2^5*z3 - 337554000*ln2^3*z2*z3 - 
    1924410600*ln2*z2^2*z3 + 374692500*ln2^2*z3^2 - 1304068500*z2*z3^2 + 
    362281500*ln2^3*z5 - 3704305500*ln2*z2*z5 + 1869438375*z3*z5 + 
    14608125*ln2*z7)/28224000, H[0, 1, 1, -1, 1, -1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 508032000*li8half + 28224000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 + 7000*ln2^8 + 
    73248000*ln2^2*s6 - 270651675*s8a - 1370376000*s8b - 160608000*s8c - 
    74592000*s8d + 84672000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 386736000*s6*z2 + 
    10483200*li4half*z2^2 + 319200*ln2^4*z2^2 - 34692000*ln2^2*z2^3 + 
    22266672*z2^4 + 191520000*li5half*z3 - 1458800*ln2^5*z3 + 
    55160000*ln2^3*z2*z3 + 157915800*ln2*z2^2*z3 + 13398000*ln2^2*z3^2 + 
    199542000*z2*z3^2 - 13671000*ln2^3*z5 + 647199000*ln2*z2*z5 - 
    312949875*z3*z5)/18816000, H[0, 1, 1, -1, 1, -1, -1, 0, 1] -> 
  (672000*li4half^2 - 75264000*li8half + 56000*li4half*ln2^4 - 700*ln2^8 - 
    1344000*ln2^2*s6 - 6652800*s8a - 89376000*s8b + 2688000*s8c - 
    20496000*s8d + 4704000*li6half*z2 - 2016000*li5half*ln2*z2 + 
    672000*li4half*ln2^2*z2 + 103600*ln2^6*z2 + 46368000*s6*z2 - 
    2184000*li4half*z2^2 - 53200*ln2^4*z2^2 - 50400*ln2^2*z2^3 + 
    8935632*z2^4 + 28728000*li5half*z3 + 1176000*li4half*ln2*z3 - 
    190400*ln2^5*z3 + 2072000*ln2^3*z2*z3 + 6157200*ln2*z2^2*z3 - 
    451500*ln2^2*z3^2 - 320250*z2*z3^2 - 10993500*ln2*z2*z5 - 6250125*z3*z5)/
   1344000, H[0, 1, 1, -1, 1, -1, -1, -1, 1] -> 
  (22579200*li4half^2 + 338688000*li8half + 11289600*li7half*ln2 - 
    16934400*li6half*ln2^2 + 5644800*li5half*ln2^3 + 1881600*li4half*ln2^4 - 
    25200*ln2^8 + 16531200*ln2^2*s6 + 18950400*ln2*s7a + 61286400*ln2*s7b - 
    26792325*s8a + 147268800*s8b - 62496000*s8c + 68140800*s8d - 
    79027200*li6half*z2 - 2822400*li4half*ln2^2*z2 - 180320*ln2^6*z2 - 
    164505600*s6*z2 - 4999680*li4half*z2^2 - 231840*ln2^4*z2^2 - 
    2550240*ln2^2*z2^3 - 43840368*z2^4 - 86889600*li5half*z3 + 
    39513600*li4half*ln2*z3 + 2288160*ln2^5*z3 - 35700000*ln2^3*z2*z3 - 
    36295560*ln2*z2^2*z3 + 42310800*ln2^2*z3^2 + 38934000*z2*z3^2 - 
    32810400*ln2^3*z5 - 87003000*ln2*z2*z5 + 35486325*z3*z5 + 
    594127800*ln2*z7)/11289600, H[0, 1, 1, -1, 0, 1, 1, 1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 + 
    10684800*ln2^2*s6 - 21339675*s8a + 141019200*s8b - 21369600*s8c + 
    21369600*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    113299200*s6*z2 + 17256960*li4half*z2^2 - 1044960*ln2^4*z2^2 - 
    8074080*ln2^2*z2^3 - 289008*z2^4 + 2419200*li5half*z3 + 
    9878400*li4half*ln2*z3 + 391440*ln2^5*z3 + 5140800*ln2^3*z2*z3 + 
    14502600*ln2*z2^2*z3 + 7326900*ln2^2*z3^2 + 48793500*z2*z3^2 + 
    64108800*ln2*z2*z5 - 149544675*z3*z5)/11289600, 
 H[0, 1, 1, -1, 0, 1, 1, 0, 1] -> (-504000*ln2^2*s6 + 1376550*s8a - 
    3318000*s8b + 1008000*s8c - 1008000*s8d + 3309600*s6*z2 - 
    907200*li4half*z2^2 - 37800*ln2^4*z2^2 + 459900*ln2^2*z2^3 + 
    300288*z2^4 - 1747200*li5half*z3 + 14560*ln2^5*z3 - 145600*ln2^3*z2*z3 - 
    1398810*ln2*z2^2*z3 - 141750*ln2^2*z3^2 - 1108800*z2*z3^2 - 
    3024000*ln2*z2*z5 + 4381125*z3*z5)/470400, 
 H[0, 1, 1, -1, 0, 1, 1, -1, 1] -> (5644800*li4half^2 - 2709504000*li8half - 
    541900800*li7half*ln2 + 470400*li4half*ln2^4 + 50120*ln2^8 + 
    580809600*ln2^2*s6 - 138700800*ln2*s7a + 211276800*ln2*s7b - 
    1228287375*s8a - 7366161600*s8b - 884217600*s8c - 673747200*s8d + 
    118540800*li6half*z2 + 16934400*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 2188569600*s6*z2 - 
    139829760*li4half*z2^2 + 2005920*ln2^4*z2^2 - 136311840*ln2^2*z2^3 + 
    160433424*z2^4 + 1257177600*li5half*z3 + 9878400*li4half*ln2*z3 - 
    10064880*ln2^5*z3 + 109704000*ln2^3*z2*z3 + 885565800*ln2*z2^2*z3 - 
    49032900*ln2^2*z3^2 + 932658300*z2*z3^2 - 339040800*ln2^3*z5 + 
    2100999600*ln2*z2*z5 - 1224343575*z3*z5 + 1392507900*ln2*z7)/11289600, 
 H[0, 1, 1, -1, 0, 1, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    58464000*ln2^2*s6 + 118721925*s8a - 294336000*s8b + 116928000*s8c - 
    116928000*s8d - 56448000*li4half*ln2^2*z2 - 2352000*ln2^6*z2 + 
    452592000*s6*z2 + 86688000*li4half*z2^2 + 21252000*ln2^4*z2^2 - 
    3805200*ln2^2*z2^3 - 16698492*z2^4 + 120960000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 5124000*ln2^5*z3 - 39312000*ln2^3*z2*z3 + 
    8946000*ln2*z2^2*z3 - 59661000*ln2^2*z3^2 - 233446500*z2*z3^2 - 
    350784000*ln2*z2*z5 + 389930625*z3*z5)/28224000, 
 H[0, 1, 1, -1, 0, 1, 0, 0, 1] -> (192000*ln2^2*s6 - 200925*s8a + 
    1248000*s8b - 384000*s8c + 384000*s8d - 1008000*s6*z2 + 
    691200*li4half*z2^2 + 28800*ln2^4*z2^2 - 130800*ln2^2*z2^3 - 
    227428*z2^4 + 334800*ln2*z2^2*z3 + 54000*ln2^2*z3^2 + 360000*z2*z3^2 + 
    1152000*ln2*z2*z5 - 1184625*z3*z5)/96000, 
 H[0, 1, 1, -1, 0, 1, 0, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    15744000*ln2^2*s6 - 11712000*ln2*s7a - 6336000*ln2*s7b - 12585825*s8a - 
    62664000*s8b - 8064000*s8c - 8064000*s8d + 8064000*li5half*ln2*z2 + 
    12096000*li4half*ln2^2*z2 + 436800*ln2^6*z2 + 26712000*s6*z2 + 
    12667200*li4half*z2^2 - 816200*ln2^4*z2^2 - 6649200*ln2^2*z2^3 - 
    1481112*z2^4 + 21504000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    1355200*ln2^5*z3 + 8848000*ln2^3*z2*z3 + 25177800*ln2*z2^2*z3 - 
    13506000*ln2^2*z3^2 + 8148000*z2*z3^2 - 5208000*ln2^3*z5 + 
    29941500*ln2*z2*z5 - 31754625*z3*z5 - 38905875*ln2*z7)/1344000, 
 H[0, 1, 1, -1, 0, 1, -1, 1, 1] -> 
  (-42336000*li4half^2 + 2257920000*li8half - 112896000*li6half*ln2^2 - 
    3528000*li4half*ln2^4 - 174300*ln2^8 - 374136000*ln2^2*s6 + 
    861573825*s8a + 5160456000*s8b + 590688000*s8c + 453600000*s8d - 
    564480000*li6half*z2 - 98784000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 58800*ln2^6*z2 - 1717464000*s6*z2 + 
    115416000*li4half*z2^2 - 1482600*ln2^4*z2^2 + 102076800*ln2^2*z2^3 - 
    86929308*z2^4 - 696696000*li5half*z3 + 5805800*ln2^5*z3 - 
    88928000*ln2^3*z2*z3 - 591708600*ln2*z2^2*z3 - 64323000*ln2^2*z3^2 - 
    553045500*z2*z3^2 - 1674603000*ln2*z2*z5 + 600313875*z3*z5)/9408000, 
 H[0, 1, 1, -1, 0, 1, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    177408000*ln2^2*s6 - 340548075*s8a - 1189944000*s8b - 354816000*s8c + 
    16128000*s8d + 338688000*li6half*z2 - 141120000*li4half*ln2^2*z2 - 
    5409600*ln2^6*z2 + 267624000*s6*z2 - 72273600*li4half*z2^2 + 
    18156600*ln2^4*z2^2 - 118666800*ln2^2*z2^3 - 81634032*z2^4 - 
    46368000*li5half*z3 - 98784000*li4half*ln2*z3 - 3729600*ln2^5*z3 + 
    20832000*ln2^3*z2*z3 + 245926800*ln2*z2^2*z3 + 49896000*ln2^2*z3^2 + 
    280224000*z2*z3^2 + 1064448000*ln2*z2*z5 - 332584875*z3*z5)/28224000, 
 H[0, 1, 1, -1, 0, 1, -1, -1, 1] -> 
  (-225792000*li4half^2 + 2709504000*li7half*ln2 + 677376000*li6half*ln2^2 - 
    18816000*li4half*ln2^4 + 11200*ln2^8 + 188496000*ln2^2*s6 + 
    429408000*ln2*s7a - 868896000*ln2*s7b - 389302200*s8a - 1965600000*s8b - 
    290304000*s8c - 217728000*s8d + 677376000*li6half*z2 + 
    155232000*li4half*ln2^2*z2 + 4586400*ln2^6*z2 + 1056384000*s6*z2 + 
    155433600*li4half*z2^2 + 20941200*ln2^4*z2^2 - 187891200*ln2^2*z2^3 - 
    108072792*z2^4 + 89712000*li5half*z3 - 543312000*li4half*ln2*z3 - 
    23385600*ln2^5*z3 + 180348000*ln2^3*z2*z3 + 652453200*ln2*z2^2*z3 + 
    400302000*ln2^2*z3^2 + 175392000*z2*z3^2 + 1257732000*ln2^3*z5 + 
    3463866000*ln2*z2*z5 - 411295500*z3*z5 - 6952735125*ln2*z7)/56448000, 
 H[0, 1, 1, -1, 0, 0, 1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    5040000*ln2^2*s6 - 69695325*s8a - 135576000*s8b - 10080000*s8c + 
    10080000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    50400000*s6*z2 - 20563200*li4half*z2^2 - 9676800*ln2^4*z2^2 + 
    7660800*ln2^2*z2^3 + 36534408*z2^4 - 133056000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 3166800*ln2^5*z3 + 13608000*ln2^3*z2*z3 - 
    51823800*ln2*z2^2*z3 + 23026500*ln2^2*z3^2 + 92011500*z2*z3^2 + 
    30240000*ln2*z2*z5 - 199135125*z3*z5)/28224000, 
 H[0, 1, 1, -1, 0, 0, 1, 0, 1] -> (1680000*ln2^2*s6 - 8472975*s8a - 
    4620000*s8b - 3360000*s8c + 3360000*s8d - 840000*s6*z2 + 
    201600*li4half*z2^2 + 8400*ln2^4*z2^2 - 2650200*ln2^2*z2^3 - 
    642476*z2^4 + 12096000*li5half*z3 - 100800*ln2^5*z3 + 
    1008000*ln2^3*z2*z3 + 3584700*ln2*z2^2*z3 + 472500*ln2^2*z3^2 - 
    4536000*z2*z3^2 + 10080000*ln2*z2*z5 + 4218375*z3*z5)/2352000, 
 H[0, 1, 1, -1, 0, 0, 1, -1, 1] -> 
  (-1411200*li4half^2 - 117600*li4half*ln2^4 - 2450*ln2^8 - 
    21672000*ln2^2*s6 + 2923200*ln2*s7a - 8366400*ln2*s7b + 44599275*s8a + 
    219668400*s8b + 37497600*s8c + 21772800*s8d + 12700800*li6half*z2 - 
    8467200*li5half*ln2*z2 - 1411200*li4half*ln2^2*z2 + 29400*ln2^6*z2 - 
    61714800*s6*z2 + 4954320*li4half*z2^2 - 322770*ln2^4*z2^2 + 
    6655320*ln2^2*z2^3 - 1470396*z2^4 - 37900800*li5half*z3 + 
    315840*ln2^5*z3 - 3158400*ln2^3*z2*z3 - 31804290*ln2*z2^2*z3 - 
    1619100*ln2^2*z3^2 - 44142525*z2*z3^2 + 10936800*ln2^3*z5 - 
    98511525*ln2*z2*z5 + 84590100*z3*z5 - 14686875*ln2*z7)/1411200, 
 H[0, 1, 1, -1, 0, 0, 0, 1, 1] -> (-2688000*ln2^2*s6 + 17098725*s8a + 
    52080000*s8b + 5376000*s8c - 5376000*s8d - 24528000*s6*z2 - 
    2016000*li4half*z2^2 - 84000*ln2^4*z2^2 + 2158800*ln2^2*z2^3 - 
    1312004*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 - 
    4300800*ln2*z2^2*z3 - 756000*ln2^2*z3^2 + 157500*z2*z3^2 - 
    16128000*ln2*z2*z5 + 11416125*z3*z5)/4704000, 
 H[0, 1, 1, -1, 0, 0, 0, 0, 1] -> (-2345*s8a - 31360*s8b + 4480*s6*z2 - 
    10752*li4half*z2^2 - 448*ln2^4*z2^2 + 7728*ln2^2*z2^3 + 4748*z2^4 - 
    3605*z3*z5)/4480, H[0, 1, 1, -1, 0, 0, 0, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    35884800*ln2^2*s6 + 15321600*ln2*s7a - 7257600*ln2*s7b + 58890825*s8a + 
    297158400*s8b + 41126400*s8c + 26611200*s8d - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 - 103320000*s6*z2 - 3709440*li4half*z2^2 + 
    551040*ln2^4*z2^2 + 15432480*ln2^2*z2^3 + 3181044*z2^4 - 
    61689600*li5half*z3 + 19756800*li4half*ln2*z3 + 1337280*ln2^5*z3 - 
    10080000*ln2^3*z2*z3 - 49953960*ln2*z2^2*z3 + 13368600*ln2^2*z3^2 - 
    36643950*z2*z3^2 + 21873600*ln2^3*z5 - 80847900*ln2*z2*z5 + 
    78223950*z3*z5 - 85484700*ln2*z7)/2822400, 
 H[0, 1, 1, -1, 0, 0, -1, 1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 + 
    69350400*ln2^2*s6 - 148673700*s8a - 774950400*s8b - 104832000*s8c - 
    98380800*s8d + 67737600*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 - 
    329280*ln2^6*z2 + 295545600*s6*z2 - 30683520*li4half*z2^2 + 
    1543920*ln2^4*z2^2 - 25436880*ln2^2*z2^3 + 11923116*z2^4 + 
    100800000*li5half*z3 - 840000*ln2^5*z3 + 8400000*ln2^3*z2*z3 + 
    93602880*ln2*z2^2*z3 + 16417800*ln2^2*z3^2 + 121312800*z2*z3^2 + 
    251653500*ln2*z2*z5 - 239278725*z3*z5)/5644800, 
 H[0, 1, 1, -1, 0, 0, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    23184000*ln2^2*s6 - 35306775*s8a - 72576000*s8b - 46368000*s8c + 
    46368000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 
    46872000*s6*z2 + 13507200*li4half*z2^2 - 1201200*ln2^4*z2^2 - 
    6073200*ln2^2*z2^3 - 18471279*z2^4 + 48384000*li5half*z3 - 
    403200*ln2^5*z3 + 4032000*ln2^3*z2*z3 + 37800000*ln2*z2^2*z3 + 
    6520500*ln2^2*z3^2 + 15923250*z2*z3^2 + 139104000*ln2*z2*z5 - 
    17671500*z3*z5)/7056000, H[0, 1, 1, -1, 0, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    3696000*ln2^2*s6 - 10080000*ln2*s7a + 65184000*ln2*s7b - 47423775*s8a - 
    207648000*s8b - 43680000*s8c - 12768000*s8d - 112896000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 627200*ln2^6*z2 - 
    2688000*s6*z2 - 26073600*li4half*z2^2 - 498400*ln2^4*z2^2 + 
    7761600*ln2^2*z2^3 + 17366876*z2^4 + 53760000*li5half*z3 + 
    65856000*li4half*ln2*z3 + 2296000*ln2^5*z3 - 3752000*ln2^3*z2*z3 + 
    1297800*ln2*z2^2*z3 - 2047500*ln2^2*z3^2 + 68150250*z2*z3^2 - 
    72912000*ln2^3*z5 + 53413500*ln2*z2*z5 - 114192750*z3*z5 + 
    261560250*ln2*z7)/9408000, H[0, 1, 1, -1, 0, -1, 1, 1, 1] -> 
  (155232000*li4half^2 - 2257920000*li8half - 37632000*li5half*ln2^3 + 
    12936000*li4half*ln2^4 + 527100*ln2^8 + 235872000*ln2^2*s6 - 
    617136975*s8a - 2991240000*s8b - 471744000*s8c - 8064000*s8d + 
    1354752000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 548800*ln2^6*z2 + 905184000*s6*z2 - 
    73584000*li4half*z2^2 - 12003600*ln2^4*z2^2 - 79632000*ln2^2*z2^3 - 
    63954756*z2^4 - 181440000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    3570000*ln2^5*z3 + 102186000*ln2^3*z2*z3 + 270585000*ln2*z2^2*z3 + 
    98752500*ln2^2*z3^2 + 340798500*z2*z3^2 + 11392500*ln2^3*z5 + 
    1381054500*ln2*z2*z5 + 42509250*z3*z5)/28224000, 
 H[0, 1, 1, -1, 0, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    159264000*ln2^2*s6 + 229494825*s8a + 674352000*s8b + 318528000*s8c - 
    149184000*s8d - 338688000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 2940000*ln2^6*z2 + 51408000*s6*z2 - 
    13255200*li4half*z2^2 - 12312300*ln2^4*z2^2 + 76179600*ln2^2*z2^3 + 
    139926222*z2^4 + 72576000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    1453200*ln2^5*z3 - 6300000*ln2^3*z2*z3 - 254337300*ln2*z2^2*z3 - 
    44793000*ln2^2*z3^2 - 209349000*z2*z3^2 - 938495250*ln2*z2*z5 + 
    164390625*z3*z5)/14112000, H[0, 1, 1, -1, 0, -1, 1, -1, 1] -> 
  (9031680000*li8half + 1354752000*li7half*ln2 + 37632000*li5half*ln2^3 - 
    358400*ln2^8 - 1901088000*ln2^2*s6 + 550368000*ln2*s7a - 
    437472000*ln2*s7b + 3758104350*s8a + 22546944000*s8b + 2701440000*s8c + 
    2011968000*s8d - 762048000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 4312000*ln2^6*z2 - 6698160000*s6*z2 + 
    372758400*li4half*z2^2 + 14590800*ln2^4*z2^2 + 471189600*ln2^2*z2^3 - 
    473635584*z2^4 - 3854592000*li5half*z3 + 222264000*li4half*ln2*z3 + 
    41382600*ln2^5*z3 - 487914000*ln2^3*z2*z3 - 2933695800*ln2*z2^2*z3 + 
    308070000*ln2^2*z3^2 - 2803783500*z2*z3^2 + 945577500*ln2^3*z5 - 
    7118023500*ln2*z2*z5 + 3645243000*z3*z5 - 2623564125*ln2*z7)/28224000, 
 H[0, 1, 1, -1, 0, -1, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    38304000*ln2^2*s6 + 189003150*s8a + 115920000*s8b + 76608000*s8c - 
    76608000*s8d - 677376000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 1411200*ln2^6*z2 - 171360000*s6*z2 + 
    75700800*li4half*z2^2 + 16090200*ln2^4*z2^2 + 33717600*ln2^2*z2^3 + 
    34116444*z2^4 + 181440000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    5628000*ln2^5*z3 - 34272000*ln2^3*z2*z3 + 75776400*ln2*z2^2*z3 - 
    53991000*ln2^2*z3^2 - 130221000*z2*z3^2 - 161469000*ln2*z2*z5 + 
    482776875*z3*z5)/28224000, H[0, 1, 1, -1, 0, -1, 0, 0, 1] -> 
  (6720000*ln2^2*s6 - 10110975*s8a + 2688000*s8b - 13440000*s8c + 
    13440000*s8d - 33936000*s6*z2 + 30676800*li4half*z2^2 + 
    1278200*ln2^4*z2^2 - 3250800*ln2^2*z2^3 - 8989856*z2^4 - 
    17472000*li5half*z3 + 145600*ln2^5*z3 - 1456000*ln2^3*z2*z3 + 
    34507200*ln2*z2^2*z3 + 1890000*ln2^2*z3^2 + 18826500*z2*z3^2 + 
    40320000*ln2*z2*z5 - 54715500*z3*z5)/4704000, 
 H[0, 1, 1, -1, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    8064000*ln2^2*s6 - 53088000*ln2*s7a - 71904000*ln2*s7b + 76604325*s8a + 
    277872000*s8b + 90048000*s8c - 33600000*s8d - 56448000*li6half*z2 + 
    9408000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1607200*ln2^6*z2 - 
    6888000*s6*z2 + 41143200*li4half*z2^2 - 3381700*ln2^4*z2^2 - 
    4586400*ln2^2*z2^3 + 31264302*z2^4 + 95424000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 4911200*ln2^5*z3 + 32648000*ln2^3*z2*z3 + 
    49990500*ln2*z2^2*z3 - 79023000*ln2^2*z3^2 - 56290500*z2*z3^2 + 
    18228000*ln2^3*z5 - 45806250*ln2*z2*z5 - 106018500*z3*z5 - 
    577358250*ln2*z7)/4704000, H[0, 1, 1, -1, 0, -1, -1, 1, 1] -> 
  (-4032000*li4half^2 - 322560000*li8half + 24192000*li6half*ln2^2 + 
    2688000*li5half*ln2^3 - 336000*li4half*ln2^4 - 3800*ln2^8 + 
    49140000*ln2^2*s6 - 100014075*s8a - 649152000*s8b - 76608000*s8c - 
    52416000*s8d + 24192000*li6half*z2 - 12096000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 - 89600*ln2^6*z2 + 180180000*s6*z2 - 
    7005600*li4half*z2^2 + 1358700*ln2^4*z2^2 - 8976600*ln2^2*z2^3 + 
    11959398*z2^4 + 107856000*li5half*z3 - 1764000*li4half*ln2*z3 - 
    972300*ln2^5*z3 + 6783000*ln2^3*z2*z3 + 83865600*ln2*z2^2*z3 + 
    7867125*ln2^2*z3^2 + 69166125*z2*z3^2 - 813750*ln2^3*z5 + 
    233840250*ln2*z2*z5 - 44982000*z3*z5)/2016000, 
 H[0, 1, 1, -1, 0, -1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    19488000*ln2^2*s6 - 30088800*s8a - 47712000*s8b - 38976000*s8c + 
    38976000*s8d + 112896000*li6half*z2 + 37632000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1332800*ln2^6*z2 - 10920000*s6*z2 - 
    33129600*li4half*z2^2 + 2931600*ln2^4*z2^2 + 6678000*ln2^2*z2^3 - 
    19744128*z2^4 - 143808000*li5half*z3 + 1198400*ln2^5*z3 - 
    11984000*ln2^3*z2*z3 - 15653400*ln2*z2^2*z3 + 5481000*ln2^2*z3^2 + 
    27284250*z2*z3^2 + 105535500*ln2*z2*z5 + 63695625*z3*z5)/9408000, 
 H[0, 1, 1, -1, 0, -1, -1, -1, 1] -> 
  (-24192000*li4half^2 - 645120000*li8half - 387072000*li7half*ln2 - 
    96768000*li6half*ln2^2 - 10752000*li5half*ln2^3 - 2016000*li4half*ln2^4 - 
    26000*ln2^8 + 100944000*ln2^2*s6 - 108000000*ln2*s7a + 45216000*ln2*s7b - 
    144178650*s8a - 1069488000*s8b - 72576000*s8c - 137088000*s8d + 
    12096000*li6half*z2 + 48384000*li5half*ln2*z2 + 
    48384000*li4half*ln2^2*z2 + 1584800*ln2^6*z2 + 352800000*s6*z2 - 
    7459200*li4half*z2^2 - 7114800*ln2^4*z2^2 - 20311200*ln2^2*z2^3 + 
    60910416*z2^4 + 278208000*li5half*z3 - 63504000*li4half*ln2*z3 - 
    4964400*ln2^5*z3 + 51408000*ln2^3*z2*z3 + 158662800*ln2*z2^2*z3 - 
    116257500*ln2^2*z3^2 + 114691500*z2*z3^2 - 145173000*ln2^3*z5 + 
    97695000*ln2*z2*z5 - 240849000*z3*z5 + 362921625*ln2*z7)/8064000, 
 H[0, 1, 1, -1, -1, 1, 1, 1, 1] -> (18816000*li4half^2 + 319872000*li8half + 
    392000*li4half*ln2^4 - 8400*ln2^8 - 43344000*ln2^2*s6 + 122297175*s8a + 
    818328000*s8b + 86688000*s8c + 82656000*s8d - 9408000*li6half*z2 + 
    4704000*li4half*ln2^2*z2 + 352800*ln2^6*z2 - 247632000*s6*z2 + 
    12297600*li4half*z2^2 - 4603200*ln2^4*z2^2 + 5040000*ln2^2*z2^3 - 
    18892632*z2^4 - 155904000*li5half*z3 + 8232000*li4half*ln2*z3 + 
    1573600*ln2^5*z3 - 8288000*ln2^3*z2*z3 - 108599400*ln2*z2^2*z3 - 
    8074500*ln2^2*z3^2 - 91035000*z2*z3^2 - 260064000*ln2*z2*z5 + 
    109806375*z3*z5)/9408000, H[0, 1, 1, -1, -1, 1, 1, 0, 1] -> 
  (-14400*li4half^2 - 1200*li4half*ln2^4 - 25*ln2^8 - 230400*li6half*z2 + 
    28800*li4half*ln2^2*z2 + 880*ln2^6*z2 - 158400*s6*z2 - 
    30240*li4half*z2^2 - 7260*ln2^4*z2^2 + 42480*ln2^2*z2^3 + 34524*z2^4 + 
    115200*li5half*z3 + 61200*li4half*ln2*z3 + 1590*ln2^5*z3 - 
    6000*ln2^3*z2*z3 + 28980*ln2*z2^2*z3 + 1575*ln2^2*z3^2 + 58500*z2*z3^2 - 
    124650*z3*z5)/28800, H[0, 1, 1, -1, -1, 1, 1, -1, 1] -> 
  (-327398400*li8half + 11289600*li7half*ln2 + 1411200*li4half*ln2^4 + 
    48440*ln2^8 + 54230400*ln2^2*s6 + 8064000*ln2*s7a + 10886400*ln2*s7b - 
    171638775*s8a - 994392000*s8b - 124588800*s8c - 89913600*s8d - 
    8467200*li4half*ln2^2*z2 - 525280*ln2^6*z2 + 287078400*s6*z2 - 
    22216320*li4half*z2^2 + 4719120*ln2^4*z2^2 - 7660800*ln2^2*z2^3 + 
    21712896*z2^4 + 179827200*li5half*z3 + 29635200*li4half*ln2*z3 - 
    181440*ln2^5*z3 + 6871200*ln2^3*z2*z3 + 122277960*ln2*z2^2*z3 + 
    26982900*ln2^2*z3^2 + 133308000*z2*z3^2 - 2734200*ln2^3*z5 + 
    340905600*ln2*z2*z5 - 190878975*z3*z5 + 48902175*ln2*z7)/11289600, 
 H[0, 1, 1, -1, -1, 1, 0, 1, 1] -> 
  (-19756800*li4half^2 - 1646400*li4half*ln2^4 - 34300*ln2^8 + 
    8064000*ln2^2*s6 - 21660975*s8a - 214099200*s8b - 16128000*s8c - 
    40320000*s8d - 15523200*li4half*ln2^2*z2 - 646800*ln2^6*z2 + 
    108864000*s6*z2 + 10140480*li4half*z2^2 + 5361720*ln2^4*z2^2 - 
    9722160*ln2^2*z2^3 - 840564*z2^4 + 58060800*li5half*z3 - 
    23990400*li4half*ln2*z3 - 1483440*ln2^5*z3 - 1806000*ln2^3*z2*z3 + 
    36240120*ln2*z2^2*z3 - 4832100*ln2^2*z3^2 + 11831400*z2*z3^2 + 
    48384000*ln2*z2*z5 - 43729875*z3*z5)/5644800, 
 H[0, 1, 1, -1, -1, 1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    52416000*ln2^2*s6 - 14488425*s8a + 229824000*s8b - 104832000*s8c + 
    161280000*s8d + 225792000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 
    862400*ln2^6*z2 - 195552000*s6*z2 + 69652800*li4half*z2^2 + 
    1726200*ln2^4*z2^2 - 27543600*ln2^2*z2^3 - 96242508*z2^4 - 
    209664000*li5half*z3 - 112896000*li4half*ln2*z3 - 2956800*ln2^5*z3 + 
    168000*ln2^3*z2*z3 + 19744200*ln2*z2^2*z3 + 5481000*ln2^2*z3^2 + 
    11151000*z2*z3^2 + 314496000*ln2*z2*z5 + 201103875*z3*z5)/28224000, 
 H[0, 1, 1, -1, -1, 1, 0, -1, 1] -> 
  (-451584000*li4half^2 + 4515840000*li8half + 903168000*li7half*ln2 - 
    37632000*li4half*ln2^4 - 851200*ln2^8 - 194544000*ln2^2*s6 - 
    50400000*ln2*s7a - 191520000*ln2*s7b + 871499475*s8a + 6316632000*s8b + 
    489888000*s8c + 554400000*s8d - 254016000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 3332000*ln2^6*z2 - 1630944000*s6*z2 + 
    491904000*li4half*z2^2 + 8030400*ln2^4*z2^2 - 185169600*ln2^2*z2^3 - 
    385088544*z2^4 - 1334592000*li5half*z3 - 747936000*li4half*ln2*z3 - 
    20042400*ln2^5*z3 + 54012000*ln2^3*z2*z3 - 439601400*ln2*z2^2*z3 - 
    147325500*ln2^2*z3^2 - 578434500*z2*z3^2 + 136710000*ln2^3*z5 - 
    410508000*ln2*z2*z5 + 304864875*z3*z5 - 2217056625*ln2*z7)/56448000, 
 H[0, 1, 1, -1, -1, 1, -1, 1, 1] -> 
  (-197568000*li8half - 42336000*li6half*ln2^2 + 3528000*li4half*ln2^4 + 
    83300*ln2^8 - 117936000*ln2^2*s6 + 194366025*s8a + 407232000*s8b + 
    151200000*s8c - 59472000*s8d - 211680000*li6half*z2 - 
    21168000*li4half*ln2^2*z2 - 1685600*ln2^6*z2 - 138600000*s6*z2 - 
    9777600*li4half*z2^2 + 15439200*ln2^4*z2^2 + 79884000*ln2^2*z2^3 + 
    49302504*z2^4 + 203616000*li5half*z3 + 21168000*li4half*ln2*z3 - 
    609000*ln2^5*z3 - 44772000*ln2^3*z2*z3 - 24292800*ln2*z2^2*z3 - 
    41658750*ln2^2*z3^2 - 110864250*z2*z3^2 - 451615500*ln2*z2*z5 + 
    101288250*z3*z5)/28224000, H[0, 1, 1, -1, -1, 1, -1, 0, 1] -> 
  (-84672000*li4half^2 + 225792000*li8half - 7056000*li4half*ln2^4 - 
    141400*ln2^8 + 144144000*ln2^2*s6 - 125664525*s8a + 127512000*s8b - 
    288288000*s8c + 330624000*s8d + 423360000*li6half*z2 - 
    42336000*li4half*ln2^2*z2 - 1332800*ln2^6*z2 - 357840000*s6*z2 + 
    74592000*li4half*z2^2 + 15867600*ln2^4*z2^2 - 57456000*ln2^2*z2^3 - 
    195526224*z2^4 - 604800000*li5half*z3 - 317520000*li4half*ln2*z3 - 
    8190000*ln2^5*z3 + 4872000*ln2^3*z2*z3 + 54142200*ln2*z2^2*z3 + 
    15844500*ln2^2*z3^2 + 98910000*z2*z3^2 + 864864000*ln2*z2*z5 + 
    481579875*z3*z5)/56448000, H[0, 1, 1, -1, -1, 1, -1, -1, 1] -> 
  (-67737600*li4half^2 - 112896000*li8half - 33868800*li7half*ln2 + 
    16934400*li6half*ln2^2 - 7056000*li4half*ln2^4 - 148960*ln2^8 + 
    33667200*ln2^2*s6 - 16934400*ln2*s7a - 42336000*ln2*s7b + 8027775*s8a - 
    54129600*s8b + 403200*s8c - 3225600*s8d + 84672000*li6half*z2 + 
    16934400*li4half*ln2^2*z2 + 995680*ln2^6*z2 + 33264000*s6*z2 + 
    55238400*li4half*z2^2 - 1097040*ln2^4*z2^2 - 28869120*ln2^2*z2^3 - 
    18340128*z2^4 - 61286400*li5half*z3 - 127008000*li4half*ln2*z3 - 
    4863600*ln2^5*z3 + 26292000*ln2^3*z2*z3 + 35257320*ln2*z2^2*z3 - 
    26031600*ln2^2*z3^2 - 9872100*z2*z3^2 + 24607800*ln2^3*z5 + 
    200151000*ln2*z2*z5 + 95204025*z3*z5 - 290762325*ln2*z7)/11289600, 
 H[0, 1, 1, -1, -1, 0, 1, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    101808000*ln2^2*s6 - 300146175*s8a - 1911672000*s8b - 203616000*s8c - 
    191520000*s8d - 451584000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 
    1136800*ln2^6*z2 + 552384000*s6*z2 - 17136000*li4half*z2^2 + 
    3402000*ln2^4*z2^2 - 3376800*ln2^2*z2^3 + 56415312*z2^4 + 
    383040000*li5half*z3 + 21168000*li4half*ln2*z3 - 2310000*ln2^5*z3 + 
    30156000*ln2^3*z2*z3 + 234423000*ln2*z2^2*z3 + 31720500*ln2^2*z3^2 + 
    253480500*z2*z3^2 + 610848000*ln2*z2*z5 - 382890375*z3*z5)/56448000, 
 H[0, 1, 1, -1, -1, 0, 1, 0, 1] -> 
  (169344000*li4half^2 + 14112000*li4half*ln2^4 + 294000*ln2^8 - 
    4032000*ln2^2*s6 - 18281025*s8a + 42840000*s8b + 8064000*s8c - 
    8064000*s8d + 225792000*li6half*z2 - 84672000*li4half*ln2^2*z2 - 
    3214400*ln2^6*z2 + 121968000*s6*z2 - 109569600*li4half*z2^2 + 
    1314600*ln2^4*z2^2 - 44301600*ln2^2*z2^3 + 1819596*z2^4 + 
    129024000*li5half*z3 + 127008000*li4half*ln2*z3 + 4216800*ln2^5*z3 + 
    168000*ln2^3*z2*z3 + 957600*ln2*z2^2*z3 + 17388000*ln2^2*z3^2 - 
    49707000*z2*z3^2 - 24192000*ln2*z2*z5 - 151475625*z3*z5)/28224000, 
 H[0, 1, 1, -1, -1, 0, 1, -1, 1] -> 
  (451584000*li4half^2 - 18063360000*li8half - 3612672000*li7half*ln2 + 
    37632000*li4half*ln2^4 + 1052800*ln2^8 + 2902032000*ln2^2*s6 - 
    814464000*ln2*s7a + 1048320000*ln2*s7b - 6130597725*s8a - 
    38471832000*s8b - 4175136000*s8c - 3445344000*s8d + 
    874944000*li6half*z2 + 254016000*li5half*ln2*z2 + 
    197568000*li4half*ln2^2*z2 + 4821600*ln2^6*z2 + 11145456000*s6*z2 - 
    1027756800*li4half*z2^2 - 46468800*ln2^4*z2^2 - 419680800*ln2^2*z2^3 + 
    1132210944*z2^4 + 6890688000*li5half*z3 + 472752000*li4half*ln2*z3 - 
    37724400*ln2^5*z3 + 538944000*ln2^3*z2*z3 + 4397967000*ln2*z2^2*z3 - 
    390820500*ln2^2*z3^2 + 4422600000*z2*z3^2 - 1804572000*ln2^3*z5 + 
    8895600000*ln2*z2*z5 - 4958092125*z3*z5 + 8842758750*ln2*z7)/56448000, 
 H[0, 1, 1, -1, -1, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    11088000*ln2^2*s6 + 68728275*s8a + 663768000*s8b + 22176000*s8c + 
    118944000*s8d + 112896000*li6half*z2 + 35280000*li4half*ln2^2*z2 + 
    1626800*ln2^6*z2 - 326088000*s6*z2 + 28022400*li4half*z2^2 - 
    8240400*ln2^4*z2^2 + 6325200*ln2^2*z2^3 - 31144776*z2^4 - 
    124992000*li5half*z3 - 7056000*li4half*ln2*z3 + 747600*ln2^5*z3 + 
    4578000*ln2^3*z2*z3 - 54343800*ln2*z2^2*z3 + 3055500*ln2^2*z3^2 - 
    27326250*z2*z3^2 - 66528000*ln2*z2*z5 + 65496375*z3*z5)/14112000, 
 H[0, 1, 1, -1, -1, 0, 0, 0, 1] -> (2688000*ln2^2*s6 - 22331925*s8a - 
    176736000*s8b - 5376000*s8c - 32256000*s8d + 88032000*s6*z2 - 
    17976000*li4half*z2^2 - 749000*ln2^4*z2^2 - 2276400*ln2^2*z2^3 + 
    9280692*z2^4 + 26880000*li5half*z3 - 224000*ln2^5*z3 + 
    2240000*ln2^3*z2*z3 + 10739400*ln2*z2^2*z3 + 756000*ln2^2*z3^2 + 
    9618000*z2*z3^2 + 16128000*ln2*z2*z5 - 24866625*z3*z5)/4704000, 
 H[0, 1, 1, -1, -1, 0, 0, -1, 1] -> 
  (16934400*li4half^2 + 1411200*li4half*ln2^4 + 29400*ln2^8 - 
    91728000*ln2^2*s6 + 43948800*ln2*s7a - 12499200*ln2*s7b + 135627975*s8a + 
    706809600*s8b + 95558400*s8c + 85075200*s8d + 90316800*li6half*z2 + 
    16934400*li5half*ln2*z2 - 16934400*li4half*ln2^2*z2 - 721280*ln2^6*z2 - 
    218836800*s6*z2 - 60480*li4half*z2^2 + 2702280*ln2^4*z2^2 + 
    32376960*ln2^2*z2^3 - 14785608*z2^4 - 175795200*li5half*z3 + 
    42336000*li4half*ln2*z3 + 3228960*ln2^5*z3 - 28056000*ln2^3*z2*z3 - 
    131065200*ln2*z2^2*z3 + 39028500*ln2^2*z3^2 - 122648400*z2*z3^2 + 
    54684000*ln2^3*z5 - 268701300*ln2*z2*z5 + 286503525*z3*z5 - 
    34312950*ln2*z7)/5644800, H[0, 1, 1, -1, -1, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 + 2257920000*li8half - 112896000*li6half*ln2^2 - 
    2352000*li4half*ln2^4 - 149800*ln2^8 - 139608000*ln2^2*s6 + 
    391921425*s8a + 3205440000*s8b + 243936000*s8c + 292320000*s8d - 
    338688000*li6half*z2 + 3528000*li4half*ln2^2*z2 + 460600*ln2^6*z2 - 
    1015056000*s6*z2 + 80690400*li4half*z2^2 - 6457500*ln2^4*z2^2 - 
    25074000*ln2^2*z2^3 - 101255832*z2^4 - 584640000*li5half*z3 - 
    54684000*li4half*ln2*z3 + 2593500*ln2^5*z3 - 23583000*ln2^3*z2*z3 - 
    331902900*ln2*z2^2*z3 - 14568750*ln2^2*z3^2 - 199710000*z2*z3^2 - 
    731808000*ln2*z2*z5 - 45115875*z3*z5)/14112000, 
 H[0, 1, 1, -1, -1, 0, -1, 0, 1] -> 
  (2688000*ln2^2*s6 - 22331925*s8a - 176736000*s8b - 5376000*s8c - 
    32256000*s8d + 99792000*s6*z2 - 7156800*li4half*z2^2 - 
    298200*ln2^4*z2^2 - 9214800*ln2^2*z2^3 + 6052852*z2^4 + 
    83328000*li5half*z3 + 28224000*li4half*ln2*z3 + 481600*ln2^5*z3 + 
    4592000*ln2^3*z2*z3 + 22205400*ln2*z2^2*z3 + 4872000*ln2^2*z3^2 + 
    3370500*z2*z3^2 + 16128000*ln2*z2*z5 - 70510125*z3*z5)/4704000, 
 H[0, 1, 1, -1, -1, 0, -1, -1, 1] -> 
  (56448000*li4half^2 + 1505280000*li8half + 602112000*li7half*ln2 + 
    75264000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 120400*ln2^8 - 
    271488000*ln2^2*s6 + 129696000*ln2*s7a - 67872000*ln2*s7b + 
    441508725*s8a + 2872464000*s8b + 307104000*s8c + 257376000*s8d - 
    37632000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 2391200*ln2^6*z2 - 767592000*s6*z2 + 
    5611200*li4half*z2^2 + 8073800*ln2^4*z2^2 + 55641600*ln2^2*z2^3 - 
    80388744*z2^4 - 514752000*li5half*z3 + 127008000*li4half*ln2*z3 + 
    9581600*ln2^5*z3 - 74060000*ln2^3*z2*z3 - 388693200*ln2*z2^2*z3 + 
    112980000*ln2^2*z3^2 - 347634000*z2*z3^2 + 191394000*ln2^3*z5 - 
    695257500*ln2*z2*z5 + 346691625*z3*z5 - 785132250*ln2*z7)/9408000, 
 H[0, 1, 1, -1, -1, -1, 1, 1, 1] -> 
  (-508032000*li8half - 9408000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    359800*ln2^8 + 224784000*ln2^2*s6 - 573005475*s8a - 2528568000*s8b - 
    449568000*s8c - 58464000*s8d + 338688000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 784000*ln2^6*z2 + 709632000*s6*z2 - 
    3225600*li4half*z2^2 + 2452800*ln2^4*z2^2 - 104781600*ln2^2*z2^3 - 
    48063816*z2^4 + 67536000*li5half*z3 - 21168000*li4half*ln2*z3 - 
    1033200*ln2^5*z3 + 88536000*ln2^3*z2*z3 + 326403000*ln2*z2^2*z3 + 
    84829500*ln2^2*z3^2 + 410161500*z2*z3^2 - 4557000*ln2^3*z5 + 
    1362375000*ln2*z2*z5 - 460333125*z3*z5)/56448000, 
 H[0, 1, 1, -1, -1, -1, 1, 0, 1] -> 
  (127008000*li4half^2 - 564480000*li8half + 10584000*li4half*ln2^4 + 
    206500*ln2^8 - 90720000*ln2^2*s6 + 68810175*s8a - 159768000*s8b + 
    181440000*s8c - 174384000*s8d - 84672000*li6half*z2 - 
    14112000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 1274000*ln2^6*z2 + 
    260568000*s6*z2 - 132955200*li4half*z2^2 - 13036800*ln2^4*z2^2 + 
    52693200*ln2^2*z2^3 + 144413748*z2^4 + 320544000*li5half*z3 + 
    211680000*li4half*ln2*z3 + 6148800*ln2^5*z3 - 1218000*ln2^3*z2*z3 - 
    106873200*ln2*z2^2*z3 - 5449500*ln2^2*z3^2 - 103887000*z2*z3^2 - 
    551155500*ln2*z2*z5 - 80222625*z3*z5)/28224000, 
 H[0, 1, 1, -1, -1, -1, 1, -1, 1] -> 
  (338688000*li4half^2 + 1354752000*li8half + 169344000*li7half*ln2 + 
    9408000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 215600*ln2^8 - 
    323568000*ln2^2*s6 + 78624000*ln2*s7a + 106848000*ln2*s7b + 
    525314475*s8a + 3028536000*s8b + 489888000*s8c + 159264000*s8d - 
    254016000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1568000*ln2^6*z2 - 699552000*s6*z2 - 
    247564800*li4half*z2^2 - 20311200*ln2^4*z2^2 + 153014400*ln2^2*z2^3 + 
    59169816*z2^4 - 135072000*li5half*z3 + 613872000*li4half*ln2*z3 + 
    26292000*ln2^5*z3 - 166488000*ln2^3*z2*z3 - 601057800*ln2*z2^2*z3 + 
    72607500*ln2^2*z3^2 - 451647000*z2*z3^2 - 22785000*ln2^3*z5 - 
    2218797000*ln2*z2*z5 + 149853375*z3*z5 + 1096034625*ln2*z7)/56448000, 
 H[0, 1, 1, -1, -1, -1, 0, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    96768000*ln2^2*s6 + 312961950*s8a + 1440936000*s8b + 193536000*s8c + 
    138096000*s8d + 28224000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1450400*ln2^6*z2 - 498456000*s6*z2 + 
    55137600*li4half*z2^2 - 5493600*ln2^4*z2^2 + 46317600*ln2^2*z2^3 - 
    33239088*z2^4 - 286776000*li5half*z3 - 77616000*li4half*ln2*z3 - 
    844200*ln2^5*z3 - 27720000*ln2^3*z2*z3 - 176437800*ln2*z2^2*z3 - 
    45738000*ln2^2*z3^2 - 255402000*z2*z3^2 - 594279000*ln2*z2*z5 + 
    631535625*z3*z5)/28224000, H[0, 1, 1, -1, -1, -1, 0, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    11088000*ln2^2*s6 - 25146450*s8a - 112224000*s8b - 22176000*s8c - 
    3696000*s8d - 28224000*li6half*z2 + 7056000*li4half*ln2^2*z2 + 
    254800*ln2^6*z2 + 6216000*s6*z2 + 13137600*li4half*z2^2 + 
    1576400*ln2^4*z2^2 - 1621200*ln2^2*z2^3 - 1476372*z2^4 + 
    3864000*li5half*z3 - 14112000*li4half*ln2*z3 - 620200*ln2^5*z3 + 
    1498000*ln2^3*z2*z3 + 29971200*ln2*z2^2*z3 + 1060500*ln2^2*z3^2 + 
    28906500*z2*z3^2 + 66528000*ln2*z2*z5 - 36133125*z3*z5)/4704000, 
 H[0, 1, 1, -1, -1, -1, 0, -1, 1] -> 
  (-67737600*li4half^2 - 1354752000*li8half - 270950400*li7half*ln2 - 
    5644800*li4half*ln2^4 - 97440*ln2^8 + 115718400*ln2^2*s6 - 
    51609600*ln2*s7a - 37497600*ln2*s7b - 211806000*s8a - 1679932800*s8b - 
    128217600*s8c - 154022400*s8d + 11289600*li6half*z2 + 
    45158400*li5half*ln2*z2 + 50803200*li4half*ln2^2*z2 + 1568000*ln2^6*z2 + 
    411062400*s6*z2 + 24796800*li4half*z2^2 + 892080*ln2^4*z2^2 + 
    5130720*ln2^2*z2^3 + 81402264*z2^4 + 322156800*li5half*z3 - 
    127008000*li4half*ln2*z3 - 7976640*ln2^5*z3 + 48132000*ln2^3*z2*z3 + 
    253063440*ln2*z2^2*z3 - 56359800*ln2^2*z3^2 + 162445500*z2*z3^2 - 
    13671000*ln2^3*z5 + 508032000*ln2*z2*z5 - 45895500*z3*z5 - 
    129608325*ln2*z7)/11289600, H[0, 1, 1, -1, -1, -1, -1, 1, 1] -> 
  (-2688000*li4half^2 + 16128000*li8half + 672000*li6half*ln2^2 + 
    224000*li5half*ln2^3 - 392000*li4half*ln2^4 - 12200*ln2^8 + 
    3360000*ln2^2*s6 - 776475*s8a + 12264000*s8b - 3360000*s8c + 
    3360000*s8d - 3360000*li6half*z2 - 2016000*li5half*ln2*z2 + 
    336000*li4half*ln2^2*z2 + 50400*ln2^6*z2 - 9072000*s6*z2 + 
    2889600*li4half*z2^2 - 134400*ln2^4*z2^2 - 2066400*ln2^2*z2^3 - 
    2309256*z2^4 - 6048000*li5half*z3 - 4704000*li4half*ln2*z3 - 
    155400*ln2^5*z3 + 42000*ln2^3*z2*z3 + 1444800*ln2*z2^2*z3 + 
    246750*ln2^2*z3^2 + 1968750*z2*z3^2 + 108500*ln2^3*z5 + 
    10017000*ln2*z2*z5 + 861000*z3*z5)/1344000, 
 H[0, 1, 1, -1, -1, -1, -1, 0, 1] -> 
  (42336000*li4half^2 + 451584000*li8half + 3528000*li4half*ln2^4 + 
    84700*ln2^8 - 1008000*ln2^2*s6 - 3321675*s8a + 113904000*s8b + 
    2016000*s8c + 5040000*s8d + 14112000*li6half*z2 + 
    14112000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 2175600*ln2^6*z2 + 
    49896000*s6*z2 - 32860800*li4half*z2^2 + 2541000*ln2^4*z2^2 - 
    16833600*ln2^2*z2^3 - 19549008*z2^4 - 27720000*li5half*z3 + 
    84672000*li4half*ln2*z3 + 3759000*ln2^5*z3 - 11424000*ln2^3*z2*z3 - 
    26926200*ln2*z2^2*z3 + 12064500*ln2^2*z3^2 - 2283750*z2*z3^2 + 
    787500*ln2*z2*z5 - 136694250*z3*z5)/28224000, 
 H[0, 1, 1, -1, -1, -1, -1, -1, 1] -> 
  (-24192000*li8half - 1612800*li7half*ln2 - 806400*li6half*ln2^2 - 
    268800*li5half*ln2^3 + 201600*li4half*ln2^4 + 9240*ln2^8 - 
    2016000*ln2^2*s6 - 403200*ln2*s7a - 403200*ln2*s7b - 790650*s8a - 
    16329600*s8b + 806400*s8c - 2419200*s8d - 29120*ln2^6*z2 + 
    5241600*s6*z2 - 483840*li4half*z2^2 + 265440*ln2^4*z2^2 + 
    1789920*ln2^2*z2^3 + 2498688*z2^4 + 5040000*li5half*z3 - 30240*ln2^5*z3 + 
    823200*ln2^3*z2*z3 + 1809360*ln2*z2^2*z3 - 963900*ln2^2*z3^2 + 
    390600*z2*z3^2 - 130200*ln2^3*z5 + 1184400*ln2*z2*z5 + 22050*z3*z5 - 
    9813825*ln2*z7)/1612800, H[0, 1, 0, 1, 1, 1, 1, 1, 1] -> 
  (-2*(175*s8a + 123*z2^4 - 875*z3*z5))/875, H[0, 1, 0, 1, 1, 1, 1, 0, 1] -> 
  (-525*s8a + 2066*z2^4 + 4375*z2*z3^2 - 20125*z3*z5)/1750, 
 H[0, 1, 0, 1, 1, 1, 1, -1, 1] -> 
  (-564480000*li8half - 112896000*li7half*ln2 + 8400*ln2^8 - 
    33264000*ln2^2*s6 + 43344000*ln2*s7a - 20160000*ln2*s7b - 34443675*s8a - 
    144144000*s8b - 20160000*s8c + 27216000*s8d + 155232000*li6half*z2 + 
    42336000*li5half*ln2*z2 - 215600*ln2^6*z2 - 43848000*s6*z2 - 
    3024000*li4half*z2^2 + 2608200*ln2^4*z2^2 + 13960800*ln2^2*z2^3 + 
    31387932*z2^4 - 82656000*li5half*z3 + 688800*ln2^5*z3 + 
    7224000*ln2^3*z2*z3 + 4107600*ln2*z2^2*z3 + 57015000*ln2^2*z3^2 + 
    67599000*z2*z3^2 + 61519500*ln2^3*z5 + 291028500*ln2*z2*z5 - 
    33618375*z3*z5 - 390686625*ln2*z7)/28224000, 
 H[0, 1, 0, 1, 1, 1, 0, 1, 1] -> (300*s8a - 176*z2^4 - 375*z2*z3^2 + 
    1500*z3*z5)/75, H[0, 1, 0, 1, 1, 1, 0, 0, 1] -> 
  (-44100*s8a + 12659*z2^4 + 31500*z2*z3^2 - 94500*z3*z5)/21000, 
 H[0, 1, 0, 1, 1, 1, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b + 3310650*s8a - 
    36792000*s8b + 8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 31248000*s6*z2 + 6753600*li4half*z2^2 - 
    222600*ln2^4*z2^2 - 3301200*ln2^2*z2^3 - 3370296*z2^4 + 
    16128000*li5half*z3 - 14112000*li4half*ln2*z3 - 722400*ln2^5*z3 + 
    4872000*ln2^3*z2*z3 + 11302200*ln2*z2^2*z3 - 11214000*ln2^2*z3^2 - 
    16915500*z2*z3^2 - 29799000*ln2*z2*z5 + 34791750*z3*z5 + 16750125*ln2*z7)/
   4032000, H[0, 1, 0, 1, 1, 1, -1, 1, 1] -> 
  (1008000*li4half^2 + 26880000*li8half - 1344000*li6half*ln2^2 + 
    84000*li4half*ln2^4 + 550*ln2^8 - 2940000*ln2^2*s6 + 10514175*s8a + 
    44940000*s8b + 7392000*s8c + 672000*s8d + 1344000*li6half*z2 + 
    4032000*li5half*ln2*z2 + 504000*li4half*ln2^2*z2 - 1400*ln2^6*z2 - 
    4452000*s6*z2 + 352800*li4half*z2^2 - 98700*ln2^4*z2^2 + 
    217200*ln2^2*z2^3 - 1826352*z2^4 - 5712000*li5half*z3 + 47600*ln2^5*z3 - 
    1484000*ln2^3*z2*z3 - 6396600*ln2*z2^2*z3 - 1617000*ln2^2*z3^2 - 
    10332000*z2*z3^2 - 26208000*ln2*z2*z5 + 12749625*z3*z5)/672000, 
 H[0, 1, 0, 1, 1, 1, -1, 0, 1] -> (-564480*li4half^2 - 47040*li4half*ln2^4 - 
    980*ln2^8 + 725760*ln2^2*s6 - 1604295*s8a + 15120*s8b - 1451520*s8c + 
    1451520*s8d + 564480*li6half*z2 + 282240*li4half*ln2^2*z2 + 
    12544*ln2^6*z2 - 2797200*s6*z2 + 269136*li4half*z2^2 - 35826*ln2^4*z2^2 + 
    11592*ln2^2*z2^3 - 279108*z2^4 - 80640*li5half*z3 + 672*ln2^5*z3 - 
    6720*ln2^3*z2*z3 + 857808*ln2*z2^2*z3 + 204120*ln2^2*z3^2 + 
    1666350*z2*z3^2 + 4354560*ln2*z2*z5 - 3270330*z3*z5)/282240, 
 H[0, 1, 0, 1, 1, 1, -1, -1, 1] -> 
  (-56448000*li4half^2 - 1128960000*li8half + 225792000*li7half*ln2 + 
    112896000*li6half*ln2^2 - 4704000*li4half*ln2^4 - 14000*ln2^8 + 
    172368000*ln2^2*s6 - 187488000*ln2*s7a - 159264000*ln2*s7b - 
    402768450*s8a - 3068352000*s8b - 96768000*s8c - 453600000*s8d - 
    366912000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 1140048000*s6*z2 - 
    39916800*li4half*z2^2 + 6510000*ln2^4*z2^2 - 39362400*ln2^2*z2^3 + 
    189177048*z2^4 + 1048320000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    10794000*ln2^5*z3 + 156156000*ln2^3*z2*z3 + 548150400*ln2*z2^2*z3 - 
    172242000*ln2^2*z3^2 + 211932000*z2*z3^2 - 27342000*ln2^3*z5 + 
    675234000*ln2*z2*z5 - 723224250*z3*z5 - 660499875*ln2*z7)/56448000, 
 H[0, 1, 0, 1, 1, 0, 1, 1, 1] -> (-2275*s8a + 2686*z2^4 + 7875*z2*z3^2 - 
    28875*z3*z5)/1750, H[0, 1, 0, 1, 1, 0, 1, 0, 1] -> 
  (-3889*z2^4 - 12600*z2*z3^2 + 46200*z3*z5)/4200, 
 H[0, 1, 0, 1, 1, 0, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    14112000*ln2^2*s6 + 12768000*ln2*s7a + 12768000*ln2*s7b + 4258800*s8a + 
    4284000*s8b + 2688000*s8c - 2688000*s8d - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 + 672000*s6*z2 - 24175200*li4half*z2^2 + 
    756700*ln2^4*z2^2 + 8211000*ln2^2*z2^3 + 3462168*z2^4 + 
    5376000*li5half*z3 + 49392000*li4half*ln2*z3 + 2013200*ln2^5*z3 - 
    11900000*ln2^3*z2*z3 - 20962200*ln2*z2^2*z3 + 15582000*ln2^2*z3^2 - 
    7528500*z2*z3^2 - 64863750*ln2*z2*z5 + 18212250*z3*z5 + 108745875*ln2*z7)/
   4704000, H[0, 1, 0, 1, 1, 0, 0, 1, 1] -> 
  (18900*s8a - 8751*z2^4 - 10500*z2*z3^2 + 56000*z3*z5)/7000, 
 H[0, 1, 0, 1, 1, 0, 0, 0, 1] -> (-5775*s8a + 5911*z2^4 - 2625*z2*z3^2 - 
    26250*z3*z5)/2625, H[0, 1, 0, 1, 1, 0, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b + 4784850*s8a + 
    17640000*s8b + 8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 19152000*s6*z2 + 6753600*li4half*z2^2 - 
    222600*ln2^4*z2^2 - 3301200*ln2^2*z2^3 + 5929596*z2^4 + 
    16128000*li5half*z3 - 14112000*li4half*ln2*z3 - 722400*ln2^5*z3 + 
    4872000*ln2^3*z2*z3 + 11302200*ln2*z2^2*z3 - 11214000*ln2^2*z3^2 - 
    5197500*z2*z3^2 - 6363000*ln2*z2*z5 - 32807250*z3*z5 - 91263375*ln2*z7)/
   2016000, H[0, 1, 0, 1, 1, 0, -1, 1, 1] -> 
  (15456000*ln2^2*s6 - 24022950*s8a - 28392000*s8b - 30912000*s8c + 
    30912000*s8d - 52416000*s6*z2 - 5107200*li4half*z2^2 - 
    212800*ln2^4*z2^2 + 2049600*ln2^2*z2^3 - 8495532*z2^4 - 
    61824000*li5half*z3 + 515200*ln2^5*z3 - 5152000*ln2^3*z2*z3 - 
    21928200*ln2*z2^2*z3 + 28014000*ln2^2*z3^2 + 45969000*z2*z3^2 + 
    131323500*ln2*z2*z5 + 1871625*z3*z5)/9408000, 
 H[0, 1, 0, 1, 1, 0, -1, 0, 1] -> (-80325*s8a + 69983*z2^4 - 425250*z2*z3^2 + 
    420000*z3*z5)/336000, H[0, 1, 0, 1, 1, 0, -1, -1, 1] -> 
  (-3091200*ln2^2*s6 + 6182400*ln2*s7a + 6182400*ln2*s7b - 2886975*s8a + 
    13137600*s8b - 6182400*s8c + 6182400*s8d - 14481600*s6*z2 + 
    1236480*li4half*z2^2 + 51520*ln2^4*z2^2 + 927360*ln2^2*z2^3 - 
    773964*z2^4 - 12364800*li5half*z3 + 103040*ln2^5*z3 - 
    1030400*ln2^3*z2*z3 - 3052560*ln2*z2^2*z3 + 3864000*ln2^2*z3^2 + 
    6290550*z2*z3^2 + 4487700*ln2*z2*z5 - 2694300*z3*z5 + 17061975*ln2*z7)/
   1881600, H[0, 1, 0, 1, 1, -1, 1, 1, 1] -> 
  (25401600*li4half^2 - 225792000*li8half - 3763200*li5half*ln2^3 + 
    2116800*li4half*ln2^4 + 69860*ln2^8 + 33667200*ln2^2*s6 - 85486275*s8a - 
    425275200*s8b - 67334400*s8c - 17337600*s8d + 67737600*li6half*z2 + 
    11289600*li5half*ln2*z2 - 156800*ln2^6*z2 + 81244800*s6*z2 - 
    22942080*li4half*z2^2 - 85680*ln2^4*z2^2 - 2520000*ln2^2*z2^3 + 
    4875624*z2^4 + 3628800*li5half*z3 - 30240*ln2^5*z3 + 
    12474000*ln2^3*z2*z3 + 51362640*ln2*z2^2*z3 + 9468900*ln2^2*z3^2 + 
    84016800*z2*z3^2 - 4101300*ln2^3*z5 + 214307100*ln2*z2*z5 - 
    72254700*z3*z5)/5644800, H[0, 1, 0, 1, 1, -1, 1, 0, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 - 
    1545600*ln2^2*s6 + 2154600*s8a + 898800*s8b + 3091200*s8c - 3091200*s8d - 
    5644800*li6half*z2 - 940800*li5half*ln2*z2 + 1411200*li4half*ln2^2*z2 + 
    58800*ln2^6*z2 + 4653600*s6*z2 + 263760*li4half*z2^2 - 
    126210*ln2^4*z2^2 + 190260*ln2^2*z2^3 + 1936824*z2^4 + 
    6182400*li5half*z3 - 51520*ln2^5*z3 + 515200*ln2^3*z2*z3 - 
    1864380*ln2*z2^2*z3 - 434700*ln2^2*z3^2 - 1554000*z2*z3^2 - 
    10298925*ln2*z2*z5 - 2500575*z3*z5)/470400, 
 H[0, 1, 0, 1, 1, -1, 1, -1, 1] -> 
  (169344000*li4half^2 + 1693440000*li8half + 112896000*li7half*ln2 + 
    18816000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 156800*ln2^8 - 
    509040000*ln2^2*s6 + 349776000*ln2*s7a + 258048000*ln2*s7b + 
    651355425*s8a + 4325832000*s8b + 318528000*s8c + 563472000*s8d + 
    98784000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    211680000*li4half*ln2^2*z2 - 7702800*ln2^6*z2 - 1589112000*s6*z2 - 
    67233600*li4half*z2^2 + 19219200*ln2^4*z2^2 + 152737200*ln2^2*z2^3 - 
    184251492*z2^4 - 1126944000*li5half*z3 + 518616000*li4half*ln2*z3 + 
    31000200*ln2^5*z3 - 304710000*ln2^3*z2*z3 - 959817600*ln2*z2^2*z3 + 
    392427000*ln2^2*z3^2 - 406917000*z2*z3^2 + 109368000*ln2^3*z5 - 
    1572480000*ln2*z2*z5 + 1048044375*z3*z5 + 1742713875*ln2*z7)/28224000, 
 H[0, 1, 0, 1, 1, -1, 0, 1, 1] -> (672000*ln2^2*s6 + 4647300*s8a - 
    4670400*s8b - 1344000*s8c + 1344000*s8d - 22579200*li6half*z2 - 
    7526400*li5half*ln2*z2 + 31360*ln2^6*z2 - 1276800*s6*z2 + 
    4643520*li4half*z2^2 + 36680*ln2^4*z2^2 + 68880*ln2^2*z2^3 - 
    1425464*z2^4 + 2016000*li5half*z3 - 16800*ln2^5*z3 + 168000*ln2^3*z2*z3 + 
    3515400*ln2*z2^2*z3 + 189000*ln2^2*z3^2 - 10222800*z2*z3^2 - 
    4170600*ln2*z2*z5 + 38705625*z3*z5)/1881600, 
 H[0, 1, 0, 1, 1, -1, 0, 0, 1] -> (3360000*ln2^2*s6 - 14843850*s8a - 
    9240000*s8b - 6720000*s8c + 6720000*s8d - 25200000*s6*z2 + 
    18984000*li4half*z2^2 + 791000*ln2^4*z2^2 - 3066000*ln2^2*z2^3 - 
    2426176*z2^4 + 10080000*li5half*z3 - 84000*ln2^5*z3 + 
    840000*ln2^3*z2*z3 + 37863000*ln2*z2^2*z3 + 945000*ln2^2*z3^2 + 
    11434500*z2*z3^2 + 20160000*ln2*z2*z5 - 65669625*z3*z5)/4704000, 
 H[0, 1, 0, 1, 1, -1, 0, -1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    23385600*ln2^2*s6 - 32524800*ln2*s7a - 24998400*ln2*s7b - 3596250*s8a - 
    84000000*s8b + 18278400*s8c - 40857600*s8d - 79027200*li6half*z2 - 
    26342400*li5half*ln2*z2 + 11289600*li4half*ln2^2*z2 + 580160*ln2^6*z2 + 
    64545600*s6*z2 + 13278720*li4half*z2^2 - 1406720*ln2^4*z2^2 - 
    9470160*ln2^2*z2^3 + 23986604*z2^4 + 98649600*li5half*z3 - 
    39513600*li4half*ln2*z3 - 2468480*ln2^5*z3 + 18099200*ln2^3*z2*z3 + 
    54063240*ln2*z2^2*z3 - 43226400*ln2^2*z3^2 + 1064700*z2*z3^2 - 
    7291200*ln2^3*z5 + 21096600*ln2*z2*z5 - 108931200*z3*z5 - 
    194189625*ln2*z7)/1881600, H[0, 1, 0, 1, 1, -1, -1, 1, 1] -> 
  (-42336000*li4half^2 + 56448000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 - 151900*ln2^8 + 17136000*ln2^2*s6 + 69345675*s8a + 
    540288000*s8b - 48384000*s8c + 217728000*s8d - 56448000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 
    393120000*s6*z2 + 79531200*li4half*z2^2 - 1272600*ln2^4*z2^2 - 
    7585200*ln2^2*z2^3 - 80712252*z2^4 - 266112000*li5half*z3 + 
    2217600*ln2^5*z3 - 22176000*ln2^3*z2*z3 - 61311600*ln2*z2^2*z3 + 
    65787750*ln2^2*z3^2 - 106044750*z2*z3^2 + 20506500*ln2^3*z5 + 
    191457000*ln2*z2*z5 + 634992750*z3*z5)/28224000, 
 H[0, 1, 0, 1, 1, -1, -1, 0, 1] -> 
  (169344000*li4half^2 + 14112000*li4half*ln2^4 + 294000*ln2^8 - 
    12096000*ln2^2*s6 - 14866425*s8a + 36792000*s8b + 24192000*s8c - 
    24192000*s8d + 282240000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 3606400*ln2^6*z2 + 76608000*s6*z2 - 
    102211200*li4half*z2^2 + 5149200*ln2^4*z2^2 + 13154400*ln2^2*z2^3 + 
    3687732*z2^4 - 360864000*li5half*z3 + 3007200*ln2^5*z3 - 
    30072000*ln2^3*z2*z3 - 103849200*ln2*z2^2*z3 - 3402000*ln2^2*z3^2 + 
    34445250*z2*z3^2 - 11056500*ln2*z2*z5 + 59062500*z3*z5)/28224000, 
 H[0, 1, 0, 1, 1, -1, -1, -1, 1] -> 
  (-50803200*li4half^2 - 225792000*li8half - 45158400*li7half*ln2 - 
    22579200*li6half*ln2^2 - 7526400*li5half*ln2^3 - 4233600*li4half*ln2^4 - 
    53480*ln2^8 + 74995200*ln2^2*s6 - 59270400*ln2*s7a - 47980800*ln2*s7b - 
    93791250*s8a - 621129600*s8b - 25804800*s8c - 118137600*s8d - 
    163699200*li6half*z2 - 16934400*li5half*ln2*z2 + 
    50803200*li4half*ln2^2*z2 + 1842400*ln2^6*z2 + 233452800*s6*z2 + 
    22942080*li4half*z2^2 - 3642240*ln2^4*z2^2 - 20895840*ln2^2*z2^3 + 
    66315384*z2^4 + 253209600*li5half*z3 - 118540800*li4half*ln2*z3 - 
    7049280*ln2^5*z3 + 58850400*ln2^3*z2*z3 + 178592400*ln2*z2^2*z3 - 
    94052700*ln2^2*z3^2 + 83034000*z2*z3^2 - 19139400*ln2^3*z5 + 
    209802600*ln2*z2*z5 - 316993950*z3*z5 - 397925325*ln2*z7)/11289600, 
 H[0, 1, 0, 1, 0, 1, 1, 1, 1] -> (-4725*s8a + 3034*z2^4 + 7875*z2*z3^2 - 
    28875*z3*z5)/2625, H[0, 1, 0, 1, 0, 1, 1, 0, 1] -> 
  (-37800*s8a + 4187*z2^4 - 63000*z2*z3^2 + 126000*z3*z5)/21000, 
 H[0, 1, 0, 1, 0, 1, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    81984000*ln2^2*s6 - 75264000*ln2*s7a - 37632000*ln2*s7b - 78984150*s8a - 
    497112000*s8b - 13440000*s8c - 99456000*s8d - 169344000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1411200*ln2^6*z2 + 
    211848000*s6*z2 + 33028800*li4half*z2^2 - 3327800*ln2^4*z2^2 - 
    32356800*ln2^2*z2^3 + 37099096*z2^4 + 236544000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 6087200*ln2^5*z3 + 44408000*ln2^3*z2*z3 + 
    159427800*ln2*z2^2*z3 - 92190000*ln2^2*z3^2 + 41317500*z2*z3^2 - 
    36456000*ln2^3*z5 + 59944500*ln2*z2*z5 - 239825250*z3*z5 - 
    97442625*ln2*z7)/9408000, H[0, 1, 0, 1, 0, 1, 0, 1, 1] -> z2^4/280, 
 H[0, 1, 0, 1, 0, 1, 0, 0, 1] -> (31*z2^4 + 350*z2*z3^2 - 700*z3*z5)/175, 
 H[0, 1, 0, 1, 0, 1, 0, -1, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 4032000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 
    2623950*s8a + 8064000*s8b - 8064000*s8c + 8064000*s8d - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 22176000*s6*z2 - 
    6753600*li4half*z2^2 + 222600*ln2^4*z2^2 + 3301200*ln2^2*z2^3 - 
    2005317*z2^4 - 16128000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    722400*ln2^5*z3 - 4872000*ln2^3*z2*z3 - 11302200*ln2*z2^2*z3 + 
    11214000*ln2^2*z3^2 + 8977500*z2*z3^2 + 12222000*ln2*z2*z5 + 
    7292250*z3*z5 + 40257000*ln2*z7)/1008000, 
 H[0, 1, 0, 1, 0, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    16128000*ln2^2*s6 + 32918025*s8a + 189588000*s8b + 13440000*s8c + 
    43008000*s8d - 56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 - 100128000*s6*z2 + 19420800*li4half*z2^2 + 
    1397200*ln2^4*z2^2 + 1369200*ln2^2*z2^3 - 12946366*z2^4 - 
    24864000*li5half*z3 + 207200*ln2^5*z3 - 2072000*ln2^3*z2*z3 - 
    17308200*ln2*z2^2*z3 + 2667000*ln2^2*z3^2 - 27720000*z2*z3^2 + 
    14805000*ln2*z2*z5 + 82700625*z3*z5)/4704000, 
 H[0, 1, 0, 1, 0, 1, -1, 0, 1] -> (1152000*li4half^2 + 96000*li4half*ln2^4 + 
    2000*ln2^8 - 576000*ln2^2*s6 + 565200*s8a + 720000*s8b + 1152000*s8c - 
    1152000*s8d - 576000*li4half*ln2^2*z2 - 24000*ln2^6*z2 + 2016000*s6*z2 - 
    532800*li4half*z2^2 + 49800*ln2^4*z2^2 + 104400*ln2^2*z2^3 + 
    617277*z2^4 - 1728000*li5half*z3 + 14400*ln2^5*z3 - 144000*ln2^3*z2*z3 - 
    1274400*ln2*z2^2*z3 - 162000*ln2^2*z3^2 - 481500*z2*z3^2 - 
    3456000*ln2*z2*z5 + 769500*z3*z5)/144000, 
 H[0, 1, 0, 1, 0, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    18144000*ln2^2*s6 + 84672000*ln2*s7a + 28224000*ln2*s7b - 26285175*s8a + 
    95760000*s8b - 76608000*s8c + 76608000*s8d + 84672000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 117600*ln2^6*z2 - 216720000*s6*z2 - 
    43948800*li4half*z2^2 - 1831200*ln2^4*z2^2 + 24935400*ln2^2*z2^3 - 
    21168978*z2^4 - 195552000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    3687600*ln2^5*z3 - 28644000*ln2^3*z2*z3 - 79613100*ln2*z2^2*z3 + 
    102942000*ln2^2*z3^2 + 89869500*z2*z3^2 + 54684000*ln2^3*z5 + 
    169186500*ln2*z2*z5 + 91294875*z3*z5 + 141781500*ln2*z7)/14112000, 
 H[0, 1, 0, 1, 0, 0, 1, 1, 1] -> (12600*s8a - 11219*z2^4 - 31500*z2*z3^2 + 
    115500*z3*z5)/7000, H[0, 1, 0, 1, 0, 0, 1, 0, 1] -> 
  (700*s8a - 111*z2^4 + 350*z2*z3^2 - 700*z3*z5)/175, 
 H[0, 1, 0, 1, 0, 0, 1, -1, 1] -> (6720000*ln2*s7a + 6720000*ln2*s7b + 
    2938950*s8a + 16800000*s8b - 13440000*s8c + 13440000*s8d - 
    33936000*s6*z2 + 2688000*li4half*z2^2 + 112000*ln2^4*z2^2 + 
    840000*ln2^2*z2^3 - 6678078*z2^4 - 26880000*li5half*z3 + 
    224000*ln2^5*z3 - 2240000*ln2^3*z2*z3 - 8085000*ln2*z2^2*z3 + 
    10290000*ln2^2*z3^2 + 13828500*z2*z3^2 + 94006500*ln2*z2*z5 + 
    9633750*z3*z5 - 70132125*ln2*z7)/4704000, H[0, 1, 0, 1, 0, 0, 0, 1, 1] -> 
  (-1925*s8a + 1067*z2^4 + 1750*z2*z3^2 - 7875*z3*z5)/875, 
 H[0, 1, 0, 1, 0, 0, 0, 0, 1] -> (-2*(47*z2^4 - 700*z3*z5))/175, 
 H[0, 1, 0, 1, 0, 0, 0, -1, 1] -> (-138600*s8a - 728000*s8b + 336000*s6*z2 - 
    30501*z2^4 - 133000*z2*z3^2 - 651000*ln2*z2*z5 + 507500*z3*z5 + 
    1444625*ln2*z7)/56000, H[0, 1, 0, 1, 0, 0, -1, 1, 1] -> 
  (-3360000*ln2^2*s6 + 3635100*s8a + 42168000*s8b + 6720000*s8c - 
    6720000*s8d - 14784000*s6*z2 - 1344000*li4half*z2^2 - 56000*ln2^4*z2^2 + 
    168000*ln2^2*z2^3 + 5654436*z2^4 + 13440000*li5half*z3 - 
    112000*ln2^5*z3 + 1120000*ln2^3*z2*z3 + 4767000*ln2*z2^2*z3 - 
    6090000*ln2^2*z3^2 + 4809000*z2*z3^2 - 25231500*ln2*z2*z5 - 
    45682875*z3*z5)/4704000, H[0, 1, 0, 1, 0, 0, -1, 0, 1] -> 
  (9225*s8a - 5139*z2^4 - 7250*z2*z3^2 + 32000*z3*z5)/8000, 
 H[0, 1, 0, 1, 0, 0, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    38304000*ln2^2*s6 - 76608000*ln2*s7a - 76608000*ln2*s7b + 26285175*s8a - 
    95760000*s8b + 76608000*s8c - 76608000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 206136000*s6*z2 + 43243200*li4half*z2^2 - 
    1726200*ln2^4*z2^2 - 26132400*ln2^2*z2^3 + 18579888*z2^4 + 
    153216000*li5half*z3 - 98784000*li4half*ln2*z3 - 5392800*ln2^5*z3 + 
    37464000*ln2^3*z2*z3 + 89069400*ln2*z2^2*z3 - 91098000*ln2^2*z3^2 - 
    83585250*z2*z3^2 - 107320500*ln2*z2*z5 - 49124250*z3*z5 - 
    344436750*ln2*z7)/14112000, H[0, 1, 0, 1, 0, -1, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    3024000*ln2^2*s6 + 1442175*s8a - 33726000*s8b + 6048000*s8c - 
    15456000*s8d + 41496000*s6*z2 + 6316800*li4half*z2^2 + 
    1145200*ln2^4*z2^2 - 2429700*ln2^2*z2^3 + 2204998*z2^4 + 
    40320000*li5half*z3 - 336000*ln2^5*z3 - 2814000*ln2^3*z2*z3 + 
    5040000*ln2*z2^2*z3 - 850500*ln2^2*z3^2 - 12327000*z2*z3^2 + 
    3038000*ln2^3*z5 - 27258000*ln2*z2*z5 - 11198250*z3*z5)/2352000, 
 H[0, 1, 0, 1, 0, -1, 1, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 + 4032000*ln2^2*s6 - 2790900*s8a - 5040000*s8b - 
    8064000*s8c + 8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    16128000*s6*z2 - 907200*li4half*z2^2 + 466200*ln2^4*z2^2 + 
    428400*ln2^2*z2^3 - 4163289*z2^4 - 16128000*li5half*z3 + 
    134400*ln2^5*z3 - 1344000*ln2^3*z2*z3 + 4863600*ln2*z2^2*z3 + 
    1134000*ln2^2*z3^2 + 4662000*z2*z3^2 + 28098000*ln2*z2*z5 + 
    13387500*z3*z5)/1008000, H[0, 1, 0, 1, 0, -1, 1, -1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    72576000*ln2^2*s6 - 338688000*ln2*s7a - 451584000*ln2*s7b + 
    485988300*s8a + 1733760000*s8b + 532224000*s8c - 80640000*s8d + 
    677376000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    282240000*li4half*ln2^2*z2 + 9878400*ln2^6*z2 + 302400000*s6*z2 + 
    223776000*li4half*z2^2 - 33012000*ln2^4*z2^2 - 86335200*ln2^2*z2^3 - 
    2125992*z2^4 - 64512000*li5half*z3 - 691488000*li4half*ln2*z3 - 
    28274400*ln2^5*z3 + 266280000*ln2^3*z2*z3 + 187563600*ln2*z2^2*z3 - 
    498204000*ln2^2*z3^2 - 613053000*z2*z3^2 + 72912000*ln2^3*z5 - 
    482706000*ln2*z2*z5 + 326749500*z3*z5 - 3323761875*ln2*z7)/28224000, 
 H[0, 1, 0, 1, 0, -1, 0, 1, 1] -> 
  (-48025*s8a - 64000*s6*z2 - 24000*li4half*z2^2 - 1000*ln2^4*z2^2 + 
    6000*ln2^2*z2^3 + 27171*z2^4 - 21000*ln2*z2^2*z3 + 115000*z2*z3^2 + 
    124000*ln2*z2*z5 - 317625*z3*z5)/16000, H[0, 1, 0, 1, 0, -1, 0, 0, 1] -> 
  (26775*s8a - 504000*li4half*z2^2 - 21000*ln2^4*z2^2 + 126000*ln2^2*z2^3 + 
    81259*z2^4 - 441000*ln2*z2^2*z3 + 10500*z2*z3^2 + 683375*z3*z5)/56000, 
 H[0, 1, 0, 1, 0, -1, 0, -1, 1] -> (1152000*li4half^2 + 96000*li4half*ln2^4 + 
    2000*ln2^8 - 576000*ln2^2*s6 + 1152000*ln2*s7a + 1152000*ln2*s7b - 
    581400*s8a - 384000*s8b - 1152000*s8c + 1152000*s8d - 
    576000*li4half*ln2^2*z2 - 24000*ln2^6*z2 - 2400000*s6*z2 - 
    820800*li4half*z2^2 + 37800*ln2^4*z2^2 + 435600*ln2^2*z2^3 - 
    434889*z2^4 - 2304000*li5half*z3 + 2016000*li4half*ln2*z3 + 
    103200*ln2^5*z3 - 696000*ln2^3*z2*z3 - 1488600*ln2*z2^2*z3 + 
    1602000*ln2^2*z3^2 + 868500*z2*z3^2 + 258000*ln2*z2*z5 + 2472000*z3*z5 + 
    8799000*ln2*z7)/48000, H[0, 1, 0, 1, 0, -1, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    48384000*ln2^2*s6 - 123714675*s8a - 764568000*s8b + 16128000*s8c - 
    241920000*s8d + 169344000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 
    940800*ln2^6*z2 + 469728000*s6*z2 - 79430400*li4half*z2^2 - 
    6837600*ln2^4*z2^2 - 11516400*ln2^2*z2^3 + 94698132*z2^4 + 
    300384000*li5half*z3 - 2503200*ln2^5*z3 + 25032000*ln2^3*z2*z3 + 
    76444200*ln2*z2^2*z3 - 72828000*ln2^2*z3^2 + 162981000*z2*z3^2 - 
    36456000*ln2^3*z5 - 92043000*ln2*z2*z5 - 759551625*z3*z5)/28224000, 
 H[0, 1, 0, 1, 0, -1, -1, 0, 1] -> 
  (-1152000*li4half^2 - 96000*li4half*ln2^4 - 2000*ln2^8 + 85050*s8a + 
    576000*li4half*ln2^2*z2 + 24000*ln2^6*z2 + 288000*s6*z2 + 
    547200*li4half*z2^2 - 49200*ln2^4*z2^2 - 136800*ln2^2*z2^3 - 
    112107*z2^4 + 2016000*li5half*z3 - 16800*ln2^5*z3 + 168000*ln2^3*z2*z3 + 
    478800*ln2*z2^2*z3 - 477000*z2*z3^2 - 558000*ln2*z2*z5 - 585000*z3*z5)/
   144000, H[0, 1, 0, 1, 0, -1, -1, -1, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    6048000*ln2^2*s6 + 12096000*ln2*s7a + 20160000*ln2*s7b - 14060025*s8a - 
    44352000*s8b - 20160000*s8c + 12096000*s8d - 12096000*li6half*z2 - 
    12096000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 504000*ln2^6*z2 - 
    23184000*s6*z2 - 12045600*li4half*z2^2 + 1262100*ln2^4*z2^2 + 
    5430600*ln2^2*z2^3 - 5152134*z2^4 - 17136000*li5half*z3 + 
    35280000*li4half*ln2*z3 + 1612800*ln2^5*z3 - 12012000*ln2^3*z2*z3 - 
    16562700*ln2*z2^2*z3 + 22995000*ln2^2*z3^2 + 15568875*z2*z3^2 - 
    5208000*ln2^3*z5 + 6867000*ln2*z2*z5 + 26349750*z3*z5 + 156523500*ln2*z7)/
   2016000, H[0, 1, 0, 1, -1, 1, 1, 1, 1] -> 
  (14112000*li4half^2 + 141120000*li8half - 21000*ln2^8 - 13356000*ln2^2*s6 + 
    18485775*s8a + 126252000*s8b + 26712000*s8c + 3276000*s8d - 
    112896000*li6half*z2 + 39200*ln2^6*z2 - 28602000*s6*z2 + 
    6300000*li4half*z2^2 - 707700*ln2^4*z2^2 + 6810300*ln2^2*z2^3 + 
    12672909*z2^4 - 34776000*li5half*z3 + 289800*ln2^5*z3 - 
    3339000*ln2^3*z2*z3 - 29285550*ln2*z2^2*z3 - 3756375*ln2^2*z3^2 - 
    4213125*z2*z3^2 - 80136000*ln2*z2*z5 - 17348625*z3*z5)/7056000, 
 H[0, 1, 0, 1, -1, 1, 1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    20160000*ln2^2*s6 - 33574275*s8a + 21294000*s8b - 40320000*s8c + 
    40320000*s8d + 84672000*li6half*z2 + 117600*ln2^6*z2 - 57708000*s6*z2 + 
    8064000*li4half*z2^2 - 546000*ln2^4*z2^2 - 14206500*ln2^2*z2^3 - 
    25729434*z2^4 + 60480000*li5half*z3 + 3528000*li4half*ln2*z3 - 
    357000*ln2^5*z3 + 4158000*ln2^3*z2*z3 + 46742850*ln2*z2^2*z3 + 
    5670000*ln2^2*z3^2 - 1622250*z2*z3^2 + 120960000*ln2*z2*z5 - 
    40887000*z3*z5)/7056000, H[0, 1, 0, 1, -1, 1, 1, -1, 1] -> 
  (-24460800*li4half^2 + 15052800*li7half*ln2 - 1411200*li4half*ln2^4 - 
    19320*ln2^8 + 20025600*ln2^2*s6 - 23654400*ln2*s7a - 15187200*ln2*s7b - 
    11908050*s8a - 88099200*s8b + 7257600*s8c - 24192000*s8d - 
    28224000*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 376320*ln2^6*z2 + 
    71433600*s6*z2 + 15012480*li4half*z2^2 - 632800*ln2^4*z2^2 - 
    13584480*ln2^2*z2^3 + 4973016*z2^4 + 67200000*li5half*z3 - 
    29635200*li4half*ln2*z3 - 1794800*ln2^5*z3 + 13008800*ln2^3*z2*z3 + 
    43024800*ln2*z2^2*z3 - 30588600*ln2^2*z3^2 - 10206000*z2*z3^2 - 
    8202600*ln2^3*z5 - 8206800*ln2*z2*z5 - 53194050*z3*z5 - 49746375*ln2*z7)/
   3763200, H[0, 1, 0, 1, -1, 1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    4032000*ln2^2*s6 + 663075*s8a + 212940000*s8b - 8064000*s8c + 
    8064000*s8d + 169344000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    352800*ln2^6*z2 - 76104000*s6*z2 - 5443200*li4half*z2^2 + 
    1537200*ln2^4*z2^2 - 16380000*ln2^2*z2^3 - 9761838*z2^4 - 
    16128000*li5half*z3 - 14112000*li4half*ln2*z3 - 453600*ln2^5*z3 + 
    2184000*ln2^3*z2*z3 + 277200*ln2*z2^2*z3 + 1134000*ln2^2*z3^2 + 
    33610500*z2*z3^2 + 24192000*ln2*z2*z5 - 160531875*z3*z5)/14112000, 
 H[0, 1, 0, 1, -1, 1, 0, 0, 1] -> (-3360000*ln2^2*s6 + 4921350*s8a - 
    18984000*s8b + 6720000*s8c - 6720000*s8d + 25200000*s6*z2 - 
    8164800*li4half*z2^2 - 340200*ln2^4*z2^2 + 361200*ln2^2*z2^3 + 
    3574141*z2^4 - 24192000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    92400*ln2^5*z3 - 252000*ln2^3*z2*z3 - 12417300*ln2*z2^2*z3 - 
    945000*ln2^2*z3^2 - 5701500*z2*z3^2 - 20160000*ln2*z2*z5 + 
    34928250*z3*z5)/2352000, H[0, 1, 0, 1, -1, 1, 0, -1, 1] -> 
  (-30240000*ln2^2*s6 + 18816000*ln2*s7a + 41918100*s8a + 232512000*s8b + 
    22848000*s8c + 33600000*s8d + 183456000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 2352000*li4half*ln2^2*z2 - 313600*ln2^6*z2 - 
    14574000*s6*z2 + 2721600*li4half*z2^2 + 1583400*ln2^4*z2^2 + 
    2045400*ln2^2*z2^3 - 27150164*z2^4 - 104832000*li5half*z3 + 
    2352000*li4half*ln2*z3 + 971600*ln2^5*z3 - 9324000*ln2^3*z2*z3 - 
    57248100*ln2*z2^2*z3 + 20307000*ln2^2*z3^2 - 55815375*z2*z3^2 + 
    18228000*ln2^3*z5 - 95298000*ln2*z2*z5 + 123658500*z3*z5 - 
    9040500*ln2*z7)/2352000, H[0, 1, 0, 1, -1, 1, -1, 1, 1] -> 
  (16934400*li4half^2 - 169344000*li8half + 5644800*li6half*ln2^2 + 
    1881600*li4half*ln2^4 + 52640*ln2^8 + 24847200*ln2^2*s6 - 67427325*s8a - 
    422805600*s8b - 40521600*s8c - 51912000*s8d + 39513600*li6half*z2 + 
    33868800*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 - 109760*ln2^6*z2 + 
    156744000*s6*z2 - 19978560*li4half*z2^2 + 649320*ln2^4*z2^2 - 
    3412080*ln2^2*z2^3 + 13982904*z2^4 + 67132800*li5half*z3 + 
    2822400*li4half*ln2*z3 - 441840*ln2^5*z3 + 5594400*ln2^3*z2*z3 + 
    47384820*ln2*z2^2*z3 + 2898000*ln2^2*z3^2 + 46664100*z2*z3^2 + 
    89283600*ln2*z2*z5 - 78373575*z3*z5)/2822400, 
 H[0, 1, 0, 1, -1, 1, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 16414650*s8a - 42840000*s8b - 36288000*s8c + 
    36288000*s8d - 98784000*li6half*z2 + 35280000*li4half*ln2^2*z2 + 
    1332800*ln2^6*z2 - 89334000*s6*z2 + 33364800*li4half*z2^2 - 
    1843800*ln2^4*z2^2 + 4699800*ln2^2*z2^3 - 10841994*z2^4 + 
    12096000*li5half*z3 - 28224000*li4half*ln2*z3 - 1276800*ln2^5*z3 + 
    8064000*ln2^3*z2*z3 + 27531000*ln2*z2^2*z3 + 5103000*ln2^2*z3^2 + 
    32563125*z2*z3^2 + 108864000*ln2*z2*z5 + 24302250*z3*z5)/7056000, 
 H[0, 1, 0, 1, -1, 1, -1, -1, 1] -> 
  (-11289600*li4half^2 + 225792000*li8half - 22579200*li7half*ln2 - 
    11289600*li6half*ln2^2 - 1881600*li4half*ln2^4 - 64400*ln2^8 - 
    60580800*ln2^2*s6 + 17740800*ln2*s7a + 14918400*ln2*s7b + 124779375*s8a + 
    787248000*s8b + 67334400*s8c + 104832000*s8d + 107251200*li6half*z2 + 
    25401600*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 78400*ln2^6*z2 - 
    246355200*s6*z2 + 23224320*li4half*z2^2 - 449400*ln2^4*z2^2 + 
    12232080*ln2^2*z2^3 - 43287228*z2^4 - 232243200*li5half*z3 - 
    5644800*li4half*ln2*z3 + 1700160*ln2^5*z3 - 19000800*ln2^3*z2*z3 - 
    135878400*ln2*z2^2*z3 + 18307800*ln2^2*z3^2 - 98834400*z2*z3^2 + 
    2734200*ln2^3*z5 - 233433900*ln2*z2*z5 + 240617475*z3*z5 + 
    89521425*ln2*z7)/5644800, H[0, 1, 0, 1, -1, 0, 1, 1, 1] -> 
  (-576000*li4half^2 - 48000*li4half*ln2^4 - 1000*ln2^8 + 288000*ln2^2*s6 + 
    324675*s8a + 1692000*s8b - 576000*s8c + 576000*s8d + 
    288000*li4half*ln2^2*z2 + 12000*ln2^6*z2 - 2592000*s6*z2 - 
    86400*li4half*z2^2 - 39600*ln2^4*z2^2 + 36000*ln2^2*z2^3 - 542682*z2^4 + 
    1152000*li5half*z3 + 144000*li4half*ln2*z3 - 3600*ln2^5*z3 + 
    60000*ln2^3*z2*z3 + 711900*ln2*z2^2*z3 + 81000*ln2^2*z3^2 - 
    216000*z2*z3^2 + 1728000*ln2*z2*z5 + 1706625*z3*z5)/288000, 
 H[0, 1, 0, 1, -1, 0, 1, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 4032000*ln2^2*s6 + 6907950*s8a - 2016000*s8b + 
    8064000*s8c - 8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    16128000*s6*z2 - 5544000*li4half*z2^2 + 273000*ln2^4*z2^2 + 
    1184400*ln2^2*z2^3 + 3740487*z2^4 + 6048000*li4half*ln2*z3 + 
    252000*ln2^5*z3 - 1512000*ln2^3*z2*z3 - 5783400*ln2*z2^2*z3 - 
    1134000*ln2^2*z3^2 - 2457000*z2*z3^2 - 24192000*ln2*z2*z5 - 
    4583250*z3*z5)/1008000, H[0, 1, 0, 1, -1, 0, 1, -1, 1] -> 
  (451584000*li4half^2 + 37632000*li4half*ln2^4 + 784000*ln2^8 + 
    157248000*ln2^2*s6 + 92736000*ln2*s7a + 318528000*ln2*s7b - 
    508529700*s8a - 2437344000*s8b - 499968000*s8c - 177408000*s8d - 
    2032128000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2352000*ln2^6*z2 - 463680000*s6*z2 - 
    360057600*li4half*z2^2 - 15002400*ln2^4*z2^2 + 154576800*ln2^2*z2^3 + 
    261051408*z2^4 + 580608000*li5half*z3 + 578592000*li4half*ln2*z3 + 
    19269600*ln2^5*z3 - 96264000*ln2^3*z2*z3 + 166219200*ln2*z2^2*z3 + 
    186228000*ln2^2*z3^2 + 939897000*z2*z3^2 - 218736000*ln2^3*z5 + 
    1390662000*ln2*z2*z5 - 1177186500*z3*z5 + 1155569625*ln2*z7)/28224000, 
 H[0, 1, 0, 1, -1, 0, 0, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    2016000*ln2^2*s6 - 3390975*s8a - 13356000*s8b - 4032000*s8c + 
    4032000*s8d + 2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 2016000*s6*z2 + 
    4435200*li4half*z2^2 - 67200*ln2^4*z2^2 - 1008000*ln2^2*z2^3 - 
    2589156*z2^4 - 3024000*li4half*ln2*z3 - 126000*ln2^5*z3 + 
    756000*ln2^3*z2*z3 + 2891700*ln2*z2^2*z3 + 567000*ln2^2*z3^2 - 
    189000*z2*z3^2 + 12096000*ln2*z2*z5 + 6307875*z3*z5)/1008000, 
 H[0, 1, 0, 1, -1, 0, 0, 0, 1] -> (-18900*s8a + 235200*s8b - 134400*s6*z2 + 
    114240*li4half*z2^2 + 4760*ln2^4*z2^2 - 28560*ln2^2*z2^3 - 20411*z2^4 + 
    25200*z2*z3^2 - 23100*z3*z5)/33600, H[0, 1, 0, 1, -1, 0, 0, -1, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 + 806400*ln2^2*s6 - 
    806400*ln2*s7a - 806400*ln2*s7b - 467775*s8a - 2116800*s8b + 
    806400*li4half*ln2^2*z2 + 33600*ln2^6*z2 + 1612800*s6*z2 + 
    1330560*li4half*z2^2 - 45360*ln2^4*z2^2 - 473760*ln2^2*z2^3 - 
    243837*z2^4 + 1209600*li5half*z3 - 2217600*li4half*ln2*z3 - 
    102480*ln2^5*z3 + 655200*ln2^3*z2*z3 + 1603980*ln2*z2^2*z3 - 
    1008000*ln2^2*z3^2 - 702450*z2*z3^2 - 560700*ln2*z2*z5 + 526050*z3*z5 - 
    1025325*ln2*z7)/201600, H[0, 1, 0, 1, -1, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    2016000*ln2^2*s6 + 3104325*s8a + 60782400*s8b - 9676800*s8c + 
    26611200*s8d - 50803200*li5half*ln2*z2 - 11289600*li4half*ln2^2*z2 - 
    47040*ln2^6*z2 - 58867200*s6*z2 + 18869760*li4half*z2^2 + 
    1139040*ln2^4*z2^2 - 7678440*ln2^2*z2^3 - 11475738*z2^4 + 
    1814400*li5half*z3 - 5644800*li4half*ln2*z3 - 250320*ln2^5*z3 + 
    1562400*ln2^3*z2*z3 + 7176960*ln2*z2^2*z3 + 2727900*ln2^2*z3^2 + 
    1171800*z2*z3^2 + 77584500*ln2*z2*z5 + 13441050*z3*z5)/1411200, 
 H[0, 1, 0, 1, -1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 4069800*s8a + 2688000*s8b + 8064000*s8c - 
    8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    14112000*s6*z2 - 5275200*li4half*z2^2 + 284200*ln2^4*z2^2 + 
    1117200*ln2^2*z2^3 + 4360273*z2^4 - 6720000*li5half*z3 + 
    2688000*li4half*ln2*z3 + 168000*ln2^5*z3 - 1232000*ln2^3*z2*z3 - 
    7526400*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 4504500*z2*z3^2 - 
    24192000*ln2*z2*z5 + 4252500*z3*z5)/336000, 
 H[0, 1, 0, 1, -1, 0, -1, -1, 1] -> (-23520000*ln2^2*s6 - 6048000*ln2*s7a - 
    43680000*ln2*s7b + 62606775*s8a + 208320000*s8b + 77952000*s8c - 
    21504000*s8d + 169344000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 100632000*s6*z2 + 
    1932000*li4half*z2^2 - 1095500*ln2^4*z2^2 + 1213800*ln2^2*z2^3 - 
    2376966*z2^4 - 18144000*li5half*z3 - 30576000*li4half*ln2*z3 - 
    1122800*ln2^5*z3 + 6132000*ln2^3*z2*z3 - 17728200*ln2*z2^2*z3 - 
    23079000*ln2^2*z3^2 - 101020500*z2*z3^2 + 36456000*ln2^3*z5 - 
    244497750*ln2*z2*z5 + 66961125*z3*z5 - 212136750*ln2*z7)/4704000, 
 H[0, 1, 0, 1, -1, -1, 1, 1, 1] -> (-84672000*li4half^2 + 282240000*li8half + 
    9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 120400*ln2^8 - 
    34272000*ln2^2*s6 + 93770775*s8a + 438228000*s8b + 68544000*s8c - 
    8568000*s8d - 112896000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    78400*ln2^6*z2 - 90468000*s6*z2 + 32155200*li4half*z2^2 + 
    4191600*ln2^4*z2^2 - 2545200*ln2^2*z2^3 - 1516176*z2^4 + 
    122976000*li5half*z3 - 7056000*li4half*ln2*z3 - 1318800*ln2^5*z3 - 
    17535000*ln2^3*z2*z3 - 23171400*ln2*z2^2*z3 - 9639000*ln2^2*z3^2 - 
    80624250*z2*z3^2 + 2278500*ln2^3*z5 - 212467500*ln2*z2*z5 - 
    24270750*z3*z5)/14112000, H[0, 1, 0, 1, -1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    3360000*ln2^2*s6 + 2667525*s8a - 22176000*s8b - 6720000*s8c + 
    6720000*s8d + 9408000*li5half*ln2*z2 - 23520000*li4half*ln2^2*z2 - 
    1058400*ln2^6*z2 - 13440000*s6*z2 - 18412800*li4half*z2^2 + 
    2368800*ln2^4*z2^2 + 6077400*ln2^2*z2^3 - 3855366*z2^4 - 
    32256000*li5half*z3 + 30576000*li4half*ln2*z3 + 1542800*ln2^5*z3 - 
    10332000*ln2^3*z2*z3 + 8859900*ln2*z2^2*z3 + 945000*ln2^2*z3^2 + 
    7612500*z2*z3^2 + 22438500*ln2*z2*z5 + 12350625*z3*z5)/4704000, 
 H[0, 1, 0, 1, -1, -1, 1, -1, 1] -> 
  (338688000*li4half^2 - 2257920000*li8half - 225792000*li7half*ln2 - 
    37632000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 498400*ln2^8 + 
    522144000*ln2^2*s6 - 379008000*ln2*s7a - 195552000*ln2*s7b - 
    678185550*s8a - 5421024000*s8b - 286272000*s8c - 870912000*s8d - 
    169344000*li6half*z2 + 197568000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 5017600*ln2^6*z2 + 2052288000*s6*z2 - 
    315302400*li4half*z2^2 - 42008400*ln2^4*z2^2 - 75146400*ln2^2*z2^3 + 
    355115592*z2^4 + 1628928000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    12398400*ln2^5*z3 + 287448000*ln2^3*z2*z3 + 995425200*ln2*z2^2*z3 - 
    433503000*ln2^2*z3^2 + 545454000*z2*z3^2 - 186837000*ln2^3*z5 + 
    1834560000*ln2*z2*z5 - 1716954750*z3*z5 - 2464284375*ln2*z7)/56448000, 
 H[0, 1, 0, 1, -1, -1, 0, 1, 1] -> (3360000*ln2^2*s6 - 28261275*s8a - 
    56280000*s8b - 6720000*s8c + 6720000*s8d + 37632000*li5half*ln2*z2 + 
    18816000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 10080000*s6*z2 + 
    1344000*li4half*z2^2 - 1512000*ln2^4*z2^2 + 5812800*ln2^2*z2^3 + 
    5776816*z2^4 - 36960000*li5half*z3 - 23520000*li4half*ln2*z3 - 
    672000*ln2^5*z3 + 2800000*ln2^3*z2*z3 - 14028000*ln2*z2^2*z3 + 
    945000*ln2^2*z3^2 + 37821000*z2*z3^2 + 29274000*ln2*z2*z5 - 
    64420125*z3*z5)/9408000, H[0, 1, 0, 1, -1, -1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    38304000*ln2^2*s6 - 31643325*s8a + 46368000*s8b - 76608000*s8c + 
    76608000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    174384000*s6*z2 - 43948800*li4half*z2^2 - 5359200*ln2^4*z2^2 + 
    17438400*ln2^2*z2^3 - 25141632*z2^4 + 2016000*li5half*z3 - 
    56448000*li4half*ln2*z3 - 2368800*ln2^5*z3 + 14280000*ln2^3*z2*z3 - 
    27883800*ln2*z2^2*z3 + 10773000*ln2^2*z3^2 + 46651500*z2*z3^2 + 
    229824000*ln2*z2*z5 + 123818625*z3*z5)/14112000, 
 H[0, 1, 0, 1, -1, -1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    34272000*ln2^2*s6 + 159264000*ln2*s7a + 215712000*ln2*s7b - 
    291789225*s8a - 779184000*s8b - 387072000*s8c + 217728000*s8d - 
    508032000*li6half*z2 - 141120000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1293600*ln2^6*z2 - 544824000*s6*z2 - 
    68292000*li4half*z2^2 - 493500*ln2^4*z2^2 + 54608400*ln2^2*z2^3 - 
    61895706*z2^4 - 336672000*li5half*z3 + 183456000*li4half*ln2*z3 + 
    10449600*ln2^5*z3 - 73920000*ln2^3*z2*z3 - 84741300*ln2*z2^2*z3 + 
    253512000*ln2^2*z3^2 + 382914000*z2*z3^2 - 54684000*ln2^3*z5 + 
    583899750*ln2*z2*z5 + 305951625*z3*z5 + 1732074750*ln2*z7)/14112000, 
 H[0, 1, 0, 1, -1, -1, -1, 1, 1] -> 
  (-211680000*li4half^2 + 564480000*li8half - 56448000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 22344000*li4half*ln2^4 - 471100*ln2^8 - 
    48384000*ln2^2*s6 + 145213425*s8a + 1230264000*s8b + 68544000*s8c + 
    192528000*s8d - 56448000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 + 1548400*ln2^6*z2 - 529704000*s6*z2 + 
    142228800*li4half*z2^2 - 424200*ln2^4*z2^2 - 40899600*ln2^2*z2^3 - 
    70031952*z2^4 - 95760000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    3318000*ln2^5*z3 + 14952000*ln2^3*z2*z3 - 79795800*ln2*z2^2*z3 - 
    29814750*ln2^2*z3^2 - 41375250*z2*z3^2 - 4557000*ln2^3*z5 + 
    117180000*ln2*z2*z5 - 82427625*z3*z5)/28224000, 
 H[0, 1, 0, 1, -1, -1, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    10080000*ln2^2*s6 + 10806075*s8a + 9072000*s8b + 20160000*s8c - 
    20160000*s8d + 4032000*li6half*z2 - 4032000*li5half*ln2*z2 - 
    6048000*li4half*ln2^2*z2 - 212800*ln2^6*z2 + 38304000*s6*z2 - 
    7308000*li4half*z2^2 + 283500*ln2^4*z2^2 + 176400*ln2^2*z2^3 + 
    9414522*z2^4 + 7056000*li5half*z3 + 8064000*li4half*ln2*z3 + 
    277200*ln2^5*z3 - 1428000*ln2^3*z2*z3 - 13091400*ln2*z2^2*z3 - 
    2835000*ln2^2*z3^2 - 16387875*z2*z3^2 - 61456500*ln2*z2*z5 - 
    976500*z3*z5)/2016000, H[0, 1, 0, 1, -1, -1, -1, -1, 1] -> 
  (84672000*li4half^2 + 112896000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 11760000*li4half*ln2^4 + 242200*ln2^8 - 
    8064000*ln2^2*s6 + 98784000*ln2*s7a + 70560000*ln2*s7b - 124210800*s8a - 
    401184000*s8b - 153216000*s8c + 82656000*s8d - 112896000*li6half*z2 + 
    42336000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 1705200*ln2^6*z2 - 
    130032000*s6*z2 - 54028800*li4half*z2^2 + 6069000*ln2^4*z2^2 + 
    40748400*ln2^2*z2^3 - 40299948*z2^4 - 172368000*li5half*z3 + 
    123480000*li4half*ln2*z3 + 6581400*ln2^5*z3 - 63756000*ln2^3*z2*z3 - 
    59031000*ln2*z2^2*z3 + 165201750*ln2^2*z3^2 + 104989500*z2*z3^2 + 
    31899000*ln2^3*z5 + 48195000*ln2*z2*z5 + 275751000*z3*z5 + 
    793744875*ln2*z7)/28224000, H[0, 1, 0, 0, 1, 1, 1, 1, 1] -> 
  (2100*s8a + 26*z2^4 - 7875*z2*z3^2 + 13125*z3*z5)/5250, 
 H[0, 1, 0, 0, 1, 1, 1, 0, 1] -> (69300*s8a - 40847*z2^4 - 31500*z2*z3^2 + 
    241500*z3*z5)/21000, H[0, 1, 0, 0, 1, 1, 1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    504000*ln2^2*s6 + 4536000*ln2*s7a + 15120000*ln2*s7b + 7167825*s8a - 
    49014000*s8b - 8064000*s8c - 6048000*s8d + 42336000*li6half*z2 + 
    21168000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 411600*ln2^6*z2 + 
    32382000*s6*z2 - 13734000*li4half*z2^2 + 1191750*ln2^4*z2^2 + 
    4599000*ln2^2*z2^3 - 12355548*z2^4 - 2016000*li5half*z3 + 
    24696000*li4half*ln2*z3 + 1045800*ln2^5*z3 - 11634000*ln2^3*z2*z3 - 
    20916000*ln2*z2^2*z3 + 6804000*ln2^2*z3^2 - 8615250*z2*z3^2 - 
    10253250*ln2^3*z5 - 5008500*ln2*z2*z5 + 53408250*z3*z5 + 71316000*ln2*z7)/
   7056000, H[0, 1, 0, 0, 1, 1, 0, 1, 1] -> 
  (-113400*s8a + 71801*z2^4 + 126000*z2*z3^2 - 567000*z3*z5)/21000, 
 H[0, 1, 0, 0, 1, 1, 0, 0, 1] -> (350*s8a - 108*z2^4 - 875*z2*z3^2 + 
    2100*z3*z5)/350, H[0, 1, 0, 0, 1, 1, 0, -1, 1] -> 
  (-896175*s8a + 2184000*s8b + 1008000*s6*z2 + 1153322*z2^4 + 
    225750*z2*z3^2 - 1953000*ln2*z2*z5 - 5226375*z3*z5 - 4333875*ln2*z7)/
   672000, H[0, 1, 0, 0, 1, 1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    12096000*ln2^2*s6 - 77611275*s8a - 60312000*s8b - 38304000*s8c + 
    10080000*s8d + 28224000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 
    352800*ln2^6*z2 - 36624000*s6*z2 - 17270400*li4half*z2^2 - 
    3659600*ln2^4*z2^2 - 974400*ln2^2*z2^3 + 24039856*z2^4 - 
    50736000*li5half*z3 + 422800*ln2^5*z3 + 16940000*ln2^3*z2*z3 + 
    7417200*ln2*z2^2*z3 + 13177500*ln2^2*z3^2 + 98332500*z2*z3^2 + 
    87349500*ln2*z2*z5 - 239284500*z3*z5)/9408000, 
 H[0, 1, 0, 0, 1, 1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    5040000*ln2^2*s6 + 25981200*s8a - 21420000*s8b + 10080000*s8c - 
    10080000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 
    32508000*s6*z2 + 9626400*li4half*z2^2 - 1362900*ln2^4*z2^2 - 
    8895600*ln2^2*z2^3 - 10321158*z2^4 + 69552000*li5half*z3 - 
    579600*ln2^5*z3 + 5796000*ln2^3*z2*z3 + 16896600*ln2*z2^2*z3 - 
    1417500*ln2^2*z3^2 - 35232750*z2*z3^2 - 30240000*ln2*z2*z5 + 
    51289875*z3*z5)/7056000, H[0, 1, 0, 0, 1, 1, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    90720000*ln2^2*s6 + 84672000*ln2*s7a + 14112000*ln2*s7b + 146988450*s8a + 
    937440000*s8b + 54432000*s8c + 171360000*s8d + 338688000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 823200*ln2^6*z2 - 
    243936000*s6*z2 + 85075200*li4half*z2^2 + 10600800*ln2^4*z2^2 + 
    22428000*ln2^2*z2^3 - 81028308*z2^4 - 406224000*li5half*z3 - 
    49392000*li4half*ln2*z3 + 1327200*ln2^5*z3 - 63840000*ln2^3*z2*z3 - 
    171700200*ln2*z2^2*z3 + 74812500*ln2^2*z3^2 - 182715750*z2*z3^2 + 
    68355000*ln2^3*z5 - 305077500*ln2*z2*z5 + 550627875*z3*z5 + 
    22546125*ln2*z7)/28224000, H[0, 1, 0, 0, 1, 0, 1, 1, 1] -> 
  (56700*s8a - 35863*z2^4 - 63000*z2*z3^2 + 283500*z3*z5)/21000, 
 H[0, 1, 0, 0, 1, 0, 1, 0, 1] -> (-700*s8a + 248*z2^4 + 350*z2*z3^2 - 
    1575*z3*z5)/175, H[0, 1, 0, 0, 1, 0, 1, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 4032000*ln2*s7a - 4032000*ln2*s7b - 2427075*s8a - 
    4536000*s8b + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 
    3528000*s6*z2 + 7156800*li4half*z2^2 - 205800*ln2^4*z2^2 - 
    2494800*ln2^2*z2^3 - 877857*z2^4 - 14112000*li4half*ln2*z3 - 
    588000*ln2^5*z3 + 3528000*ln2^3*z2*z3 + 6451200*ln2*z2^2*z3 - 
    5040000*ln2^2*z3^2 - 299250*z2*z3^2 + 1590750*ln2*z2*z5 - 1047375*z3*z5 - 
    7126875*ln2*z7)/1008000, H[0, 1, 0, 0, 1, 0, 0, 1, 1] -> 
  (-4725*s8a + 2234*z2^4 + 3500*z2*z3^2 - 15750*z3*z5)/1750, 
 H[0, 1, 0, 0, 1, 0, 0, 0, 1] -> (-2*(-50*s8a + 41*z2^4 - 100*z3*z5))/25, 
 H[0, 1, 0, 0, 1, 0, 0, -1, 1] -> (38525*s8a + 72000*s8b - 144000*s6*z2 - 
    26666*z2^4 + 40750*z2*z3^2 + 279000*ln2*z2*z5 - 6875*z3*z5 - 
    142875*ln2*z7)/16000, H[0, 1, 0, 0, 1, 0, -1, 1, 1] -> 
  (-1344000*ln2^2*s6 + 1835925*s8a - 4032000*s8b + 2688000*s8c - 
    2688000*s8d + 8064000*s6*z2 + 268800*li4half*z2^2 + 11200*ln2^4*z2^2 - 
    134400*ln2^2*z2^3 + 362048*z2^4 + 5376000*li5half*z3 - 44800*ln2^5*z3 + 
    448000*ln2^3*z2*z3 + 1906800*ln2*z2^2*z3 - 2436000*ln2^2*z3^2 - 
    4830000*z2*z3^2 - 10993500*ln2*z2*z5 + 4205250*z3*z5)/672000, 
 H[0, 1, 0, 0, 1, 0, -1, 0, 1] -> (66325*s8a - 32953*z2^4 + 59500*z2*z3^2 + 
    14000*z3*z5)/56000, H[0, 1, 0, 0, 1, 0, -1, -1, 1] -> 
  (1344000*ln2^2*s6 - 2688000*ln2*s7a - 2688000*ln2*s7b + 2332050*s8a - 
    672000*s8b + 2688000*s8c - 2688000*s8d + 2856000*s6*z2 - 
    537600*li4half*z2^2 - 22400*ln2^4*z2^2 - 403200*ln2^2*z2^3 + 
    340318*z2^4 + 5376000*li5half*z3 - 44800*ln2^5*z3 + 448000*ln2^3*z2*z3 + 
    1327200*ln2*z2^2*z3 - 1680000*ln2^2*z3^2 - 1349250*z2*z3^2 + 
    4714500*ln2*z2*z5 - 2648625*z3*z5 - 17419500*ln2*z7)/672000, 
 H[0, 1, 0, 0, 1, -1, 1, 1, 1] -> (-1680000*ln2^2*s6 + 5206425*s8a + 
    9996000*s8b + 3360000*s8c + 672000*s8d + 1680000*s6*z2 + 
    739200*li4half*z2^2 + 30800*ln2^4*z2^2 + 298200*ln2^2*z2^3 - 
    899092*z2^4 - 630000*ln2^3*z2*z3 - 2520000*ln2*z2^2*z3 - 
    472500*ln2^2*z3^2 - 6909000*z2*z3^2 + 325500*ln2^3*z5 - 
    11056500*ln2*z2*z5 + 15566250*z3*z5)/672000, 
 H[0, 1, 0, 0, 1, -1, 1, 0, 1] -> (3360000*ln2^2*s6 - 11742150*s8a + 
    2520000*s8b - 6720000*s8c + 6720000*s8d - 25200000*s6*z2 + 
    1344000*li4half*z2^2 + 56000*ln2^4*z2^2 + 3990000*ln2^2*z2^3 - 
    1376239*z2^4 - 13440000*li5half*z3 + 112000*ln2^5*z3 - 
    1120000*ln2^3*z2*z3 + 4053000*ln2*z2^2*z3 + 945000*ln2^2*z3^2 + 
    10185000*z2*z3^2 + 23577750*ln2*z2*z5 - 3543750*z3*z5)/2352000, 
 H[0, 1, 0, 0, 1, -1, 1, -1, 1] -> (1056000*ln2^2*s6 - 1056000*ln2*s7a - 
    2064000*ln2*s7b - 2816100*s8a - 14112000*s8b - 2688000*s8d + 
    8400000*s6*z2 - 537600*li4half*z2^2 - 22400*ln2^4*z2^2 - 
    633600*ln2^2*z2^3 + 934624*z2^4 + 5376000*li5half*z3 - 44800*ln2^5*z3 + 
    1288000*ln2^3*z2*z3 + 3499800*ln2*z2^2*z3 - 1320000*ln2^2*z3^2 + 
    63000*z2*z3^2 + 651000*ln2^3*z5 - 2221500*ln2*z2*z5 - 5391750*z3*z5 - 
    763125*ln2*z7)/672000, H[0, 1, 0, 0, 1, -1, 0, 1, 1] -> 
  (-355950*s8a + 1545600*s8b - 1209600*s6*z2 - 161280*li4half*z2^2 - 
    6720*ln2^4*z2^2 + 40320*ln2^2*z2^3 + 341938*z2^4 - 63000*ln2*z2^2*z3 + 
    1029000*z2*z3^2 + 390600*ln2*z2*z5 - 3472875*z3*z5)/134400, 
 H[0, 1, 0, 0, 1, -1, 0, 0, 1] -> (387800*s8a + 672000*s6*z2 - 144582*z2^4 - 
    315000*ln2*z2^2*z3 - 388500*z2*z3^2 + 986125*z3*z5)/112000, 
 H[0, 1, 0, 0, 1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b - 3509100*s8a + 
    64512000*s8b - 40320000*s8c + 40320000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 126504000*s6*z2 + 58161600*li4half*z2^2 - 
    1104600*ln2^4*z2^2 - 14943600*ln2^2*z2^3 - 31687491*z2^4 - 
    80640000*li5half*z3 - 98784000*li4half*ln2*z3 - 3444000*ln2^5*z3 + 
    17976000*ln2^3*z2*z3 + 27518400*ln2*z2^2*z3 - 4410000*ln2^2*z3^2 + 
    46336500*z2*z3^2 + 257433750*ln2*z2*z5 + 27412875*z3*z5 - 
    155271375*ln2*z7)/7056000, H[0, 1, 0, 0, 1, -1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    3696000*ln2^2*s6 - 23115225*s8a - 180096000*s8b + 16128000*s8c - 
    72576000*s8d + 56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 
    117600*ln2^6*z2 + 138096000*s6*z2 - 25334400*li4half*z2^2 - 
    1643600*ln2^4*z2^2 - 1520400*ln2^2*z2^3 + 29026904*z2^4 + 
    84000000*li5half*z3 - 700000*ln2^5*z3 + 7000000*ln2^3*z2*z3 + 
    29463000*ln2*z2^2*z3 - 27772500*ln2^2*z3^2 + 20905500*z2*z3^2 - 
    4557000*ln2^3*z5 - 96012000*ln2*z2*z5 - 178497375*z3*z5)/9408000, 
 H[0, 1, 0, 0, 1, -1, -1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    3628800*ln2^2*s6 + 1768725*s8a - 13507200*s8b - 7257600*s8c + 
    7257600*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    1108800*s6*z2 + 6108480*li4half*z2^2 - 451080*ln2^4*z2^2 - 
    3840480*ln2^2*z2^3 - 7043028*z2^4 + 24998400*li5half*z3 - 
    208320*ln2^5*z3 + 2083200*ln2^3*z2*z3 + 11380320*ln2*z2^2*z3 + 
    1020600*ln2^2*z3^2 - 3839850*z2*z3^2 + 17671500*ln2*z2*z5 + 
    7285950*z3*z5)/2822400, H[0, 1, 0, 0, 1, -1, -1, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    7156800*ln2^2*s6 - 11491200*ln2*s7a - 4435200*ln2*s7b + 7106400*s8a + 
    14918400*s8b + 1612800*s8c + 1209600*s8d - 8467200*li5half*ln2*z2 + 
    1411200*li4half*ln2^2*z2 + 129360*ln2^6*z2 - 11592000*s6*z2 + 
    10332000*li4half*z2^2 + 77700*ln2^4*z2^2 - 3548160*ln2^2*z2^3 - 
    4688538*z2^4 + 1814400*li5half*z3 - 14817600*li4half*ln2*z3 - 
    632520*ln2^5*z3 + 2973600*ln2^3*z2*z3 + 6105960*ln2*z2^2*z3 - 
    6939450*ln2^2*z3^2 - 448875*z2*z3^2 - 5468400*ln2^3*z5 + 
    40779900*ln2*z2*z5 + 4466700*z3*z5 - 50855175*ln2*z7)/2822400, 
 H[0, 1, 0, 0, 0, 1, 1, 1, 1] -> (-3600*s8a + 1559*z2^4 + 1500*z2*z3^2 - 
    9000*z3*z5)/3000, H[0, 1, 0, 0, 0, 1, 1, 0, 1] -> 
  (4725*s8a - 1114*z2^4 + 2625*z2*z3^2 - 2625*z3*z5)/2625, 
 H[0, 1, 0, 0, 0, 1, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    92736000*ln2^2*s6 + 52416000*ln2*s7a - 4032000*ln2*s7b + 134786925*s8a + 
    675360000*s8b + 80640000*s8c + 88704000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 300888000*s6*z2 - 32356800*li4half*z2^2 + 
    2179800*ln2^4*z2^2 + 51307200*ln2^2*z2^3 - 5248272*z2^4 - 
    177408000*li5half*z3 + 98784000*li4half*ln2*z3 + 5594400*ln2^5*z3 - 
    39480000*ln2^3*z2*z3 - 143791200*ln2*z2^2*z3 + 54180000*ln2^2*z3^2 - 
    72497250*z2*z3^2 + 54684000*ln2^3*z5 - 103288500*ln2*z2*z5 + 
    245219625*z3*z5 - 136261125*ln2*z7)/14112000, 
 H[0, 1, 0, 0, 0, 1, 0, 1, 1] -> (300*s8a - 176*z2^4 - 375*z2*z3^2 + 
    1500*z3*z5)/75, H[0, 1, 0, 0, 0, 1, 0, 0, 1] -> 
  (2*(-50*s8a + 47*z2^4 - 150*z3*z5))/25, H[0, 1, 0, 0, 0, 1, 0, -1, 1] -> 
  (-71925*s8a - 201600*s8b + 201600*s6*z2 + 25517*z2^4 - 70350*z2*z3^2 - 
    390600*ln2*z2*z5 + 89775*z3*z5 + 400050*ln2*z7)/33600, 
 H[0, 1, 0, 0, 0, 1, -1, 1, 1] -> (24864000*ln2^2*s6 - 30979725*s8a - 
    203616000*s8b - 30912000*s8c - 25536000*s8d + 88704000*s6*z2 - 
    5107200*li4half*z2^2 - 212800*ln2^4*z2^2 - 17287200*ln2^2*z2^3 - 
    2106856*z2^4 + 51072000*li5half*z3 - 425600*ln2^5*z3 + 
    4256000*ln2^3*z2*z3 + 24288600*ln2*z2^2*z3 + 8022000*ln2^2*z3^2 + 
    17745000*z2*z3^2 + 85239000*ln2*z2*z5 - 33922875*z3*z5)/4704000, 
 H[0, 1, 0, 0, 0, 1, -1, 0, 1] -> (-534450*s8a - 1176000*s8b - 336000*s6*z2 + 
    180433*z2^4 + 756000*ln2*z2^2*z3 + 288750*z2*z3^2 - 1165500*z3*z5)/
   168000, H[0, 1, 0, 0, 0, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 56448000*ln2*s7b - 21298725*s8a - 81648000*s8b + 
    20160000*s8c - 20160000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 82656000*s6*z2 - 54129600*li4half*z2^2 + 
    1272600*ln2^4*z2^2 + 34977600*ln2^2*z2^3 + 28100784*z2^4 + 
    40320000*li5half*z3 + 98784000*li4half*ln2*z3 + 3780000*ln2^5*z3 - 
    21336000*ln2^3*z2*z3 - 35708400*ln2*z2^2*z3 - 13860000*ln2^2*z3^2 - 
    16443000*z2*z3^2 - 54684000*ln2^3*z5 - 330592500*ln2*z2*z5 - 
    49179375*z3*z5 + 406932750*ln2*z7)/14112000, 
 H[0, 1, 0, 0, 0, 0, 1, 1, 1] -> (-1225*s8a + 1574*z2^4 + 3500*z2*z3^2 - 
    14875*z3*z5)/1750, H[0, 1, 0, 0, 0, 0, 1, 0, 1] -> 
  (-2*(163*z2^4 - 700*z3*z5))/175, H[0, 1, 0, 0, 0, 0, 1, -1, 1] -> 
  (45675*s8a + 504000*s8b + 1978*z2^4 - 168000*ln2*z2^2*z3 - 36750*z2*z3^2 - 
    514500*ln2*z2*z5 + 98875*z3*z5 + 555625*ln2*z7)/112000, 
 H[0, 1, 0, 0, 0, 0, 0, 1, 1] -> (2*(175*s8a + 163*z2^4 - 875*z3*z5))/875, 
 H[0, 1, 0, 0, 0, 0, 0, 0, 1] -> (24*z2^4)/25, 
 H[0, 1, 0, 0, 0, 0, 0, -1, 1] -> (12600*s8a + 168000*s8b + 40001*z2^4 - 
    178500*z3*z5 - 333375*ln2*z7)/28000, H[0, 1, 0, 0, 0, 0, -1, 1, 1] -> 
  (-120925*s8a - 784000*s8b + 7432*z2^4 + 168000*ln2*z2^2*z3 + 
    168000*z2*z3^2 + 514500*ln2*z2*z5 - 427000*z3*z5)/112000, 
 H[0, 1, 0, 0, 0, 0, -1, 0, 1] -> (26775*s8a - 53311*z2^4 + 210000*z3*z5)/
   28000, H[0, 1, 0, 0, 0, 0, -1, -1, 1] -> 
  (114975*s8a + 392000*s8b - 168000*s6*z2 - 6184*z2^4 + 14000*z2*z3^2 + 
    325500*ln2*z2*z5 - 52500*z3*z5 - 777875*ln2*z7)/112000, 
 H[0, 1, 0, 0, 0, -1, 1, 1, 1] -> (-672000*ln2^2*s6 + 1633275*s8a + 
    20370000*s8b + 1344000*s8c + 3360000*s8d - 14952000*s6*z2 - 
    33600*li4half*z2^2 - 1400*ln2^4*z2^2 + 1921500*ln2^2*z2^3 + 252614*z2^4 - 
    6720000*li5half*z3 + 56000*ln2^5*z3 - 560000*ln2^3*z2*z3 - 
    1722000*ln2*z2^2*z3 - 189000*ln2^2*z3^2 + 2667000*z2*z3^2 - 
    1519000*ln2^3*z5 + 525000*ln2*z2*z5 - 4767000*z3*z5)/1176000, 
 H[0, 1, 0, 0, 0, -1, 1, 0, 1] -> (340200*s8a + 1176000*s8b + 672000*s6*z2 - 
    35963*z2^4 - 756000*ln2*z2^2*z3 - 126000*z2*z3^2 - 651000*ln2*z2*z5 + 
    325500*z3*z5)/168000, H[0, 1, 0, 0, 0, -1, 1, -1, 1] -> 
  (12096000*ln2^2*s6 + 672000*ln2*s7a + 10080000*ln2*s7b - 26438475*s8a - 
    132720000*s8b - 25536000*s8c - 12096000*s8d + 38304000*s6*z2 - 
    2419200*li4half*z2^2 - 100800*ln2^4*z2^2 - 8542800*ln2^2*z2^3 - 
    1946851*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 + 
    2016000*ln2^3*z2*z3 + 14223300*ln2*z2^2*z3 + 4431000*ln2^2*z3^2 + 
    27273750*z2*z3^2 - 6076000*ln2^3*z5 + 61183500*ln2*z2*z5 - 
    49095375*z3*z5 + 47507250*ln2*z7)/2352000, 
 H[0, 1, 0, 0, 0, -1, 0, 1, 1] -> (345450*s8a + 672000*s6*z2 - 133733*z2^4 - 
    882000*z2*z3^2 - 1302000*ln2*z2*z5 + 2541000*z3*z5)/168000, 
 H[0, 1, 0, 0, 0, -1, 0, 0, 1] -> (-72450*s8a + 95423*z2^4 - 315000*z3*z5)/
   28000, H[0, 1, 0, 0, 0, -1, 0, -1, 1] -> 
  (-217350*s8a + 672000*s6*z2 + 206989*z2^4 - 210000*z2*z3^2 - 
    1302000*ln2*z2*z5 - 273000*z3*z5)/84000, 
 H[0, 1, 0, 0, 0, -1, -1, 1, 1] -> (-12096000*ln2^2*s6 + 20148975*s8a + 
    143808000*s8b + 5376000*s8c + 32256000*s8d - 78624000*s6*z2 + 
    3628800*li4half*z2^2 + 151200*ln2^4*z2^2 + 10508400*ln2^2*z2^3 - 
    7166384*z2^4 - 64512000*li5half*z3 + 537600*ln2^5*z3 - 
    5376000*ln2^3*z2*z3 - 24645600*ln2*z2^2*z3 + 11004000*ln2^2*z3^2 - 
    16380000*z2*z3^2 + 6076000*ln2^3*z5 - 29137500*ln2*z2*z5 + 
    95077500*z3*z5)/4704000, H[0, 1, 0, 0, 0, -1, -1, 0, 1] -> 
  (-14175*s8a - 48000*s6*z2 + 3692*z2^4 + 42000*z2*z3^2 + 93000*ln2*z2*z5 - 
    117000*z3*z5)/24000, H[0, 1, 0, 0, 0, -1, -1, -1, 1] -> 
  (-1344000*ln2^2*s6 + 2688000*ln2*s7a + 544425*s8a + 11760000*s8b + 
    2688000*s8d - 5208000*s6*z2 + 537600*li4half*z2^2 + 22400*ln2^4*z2^2 + 
    403200*ln2^2*z2^3 + 45848*z2^4 - 5376000*li5half*z3 + 44800*ln2^5*z3 - 
    448000*ln2^3*z2*z3 - 2016000*ln2*z2^2*z3 + 1680000*ln2^2*z3^2 - 
    798000*z2*z3^2 + 1736000*ln2^3*z5 - 2845500*ln2*z2*z5 + 4053000*z3*z5 + 
    708750*ln2*z7)/672000, H[0, 1, 0, 0, -1, 1, 1, 1, 1] -> 
  (9072000*ln2^2*s6 - 22723575*s8a - 54936000*s8b - 18144000*s8c - 
    5376000*s8d - 24528000*s6*z2 - 17068800*li4half*z2^2 - 
    711200*ln2^4*z2^2 + 2452800*ln2^2*z2^3 + 2462368*z2^4 - 
    8064000*li5half*z3 + 67200*ln2^5*z3 + 2268000*ln2^3*z2*z3 + 
    18307800*ln2*z2^2*z3 + 2551500*ln2^2*z3^2 + 25588500*z2*z3^2 + 
    54432000*ln2*z2*z5 - 21291375*z3*z5)/9408000, 
 H[0, 1, 0, 0, -1, 1, 1, 0, 1] -> (-1680000*ln2^2*s6 + 8472975*s8a + 
    4620000*s8b + 3360000*s8c - 3360000*s8d + 12600000*s6*z2 + 
    1680000*li4half*z2^2 + 70000*ln2^4*z2^2 - 2583000*ln2^2*z2^3 + 
    291356*z2^4 + 6720000*li5half*z3 - 56000*ln2^5*z3 + 560000*ln2^3*z2*z3 - 
    4231500*ln2*z2^2*z3 - 472500*ln2^2*z3^2 - 609000*z2*z3^2 - 
    10080000*ln2*z2*z5 - 10686375*z3*z5)/2352000, 
 H[0, 1, 0, 0, -1, 1, 1, -1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 6384000*ln2^2*s6 + 
    8198400*ln2*s7a + 5376000*ln2*s7b + 5954025*s8a + 44049600*s8b - 
    3628800*s8c + 12096000*s8d - 16934400*li6half*z2 - 
    11289600*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 164640*ln2^6*z2 - 
    43713600*s6*z2 - 2567040*li4half*z2^2 + 363440*ln2^4*z2^2 + 
    2575440*ln2^2*z2^3 - 1408004*z2^4 - 16665600*li5half*z3 + 
    9878400*li4half*ln2*z3 + 550480*ln2^5*z3 - 3858400*ln2^3*z2*z3 - 
    12813360*ln2*z2^2*z3 + 10758300*ln2^2*z3^2 + 7278600*z2*z3^2 + 
    2734200*ln2^3*z5 + 32050200*ln2*z2*z5 + 12279225*z3*z5 + 6946275*ln2*z7)/
   1881600, H[0, 1, 0, 0, -1, 1, 0, 1, 1] -> 
  (978075*s8a - 7728000*s8b + 5040000*s6*z2 + 806400*li4half*z2^2 + 
    33600*ln2^4*z2^2 - 201600*ln2^2*z2^3 - 1290208*z2^4 + 
    315000*ln2*z2^2*z3 - 3622500*z2*z3^2 + 12135375*z3*z5)/672000, 
 H[0, 1, 0, 0, -1, 1, 0, 0, 1] -> (-35000*s8a - 67200*s6*z2 + 14913*z2^4 + 
    31500*ln2*z2^2*z3 + 27300*z2*z3^2 - 77700*z3*z5)/11200, 
 H[0, 1, 0, 0, -1, 1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    28224000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b + 400050*s8a - 
    57456000*s8b + 40320000*s8c - 40320000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 121212000*s6*z2 - 58161600*li4half*z2^2 + 
    1104600*ln2^4*z2^2 + 14943600*ln2^2*z2^3 + 34837953*z2^4 + 
    80640000*li5half*z3 + 98784000*li4half*ln2*z3 + 3444000*ln2^5*z3 - 
    17976000*ln2^3*z2*z3 - 27518400*ln2*z2^2*z3 + 4410000*ln2^2*z3^2 - 
    40658625*z2*z3^2 - 247180500*ln2*z2*z5 - 54699750*z3*z5 + 
    141269625*ln2*z7)/7056000, H[0, 1, 0, 0, -1, 1, -1, 1, 1] -> 
  (-7392000*ln2^2*s6 + 47064675*s8a + 164976000*s8b + 28896000*s8c + 
    22848000*s8d - 31584000*s6*z2 + 4569600*li4half*z2^2 + 
    190400*ln2^4*z2^2 + 6652800*ln2^2*z2^3 - 6608932*z2^4 - 
    45696000*li5half*z3 + 380800*ln2^5*z3 - 15568000*ln2^3*z2*z3 - 
    45313800*ln2*z2^2*z3 + 9240000*ln2^2*z3^2 - 56217000*z2*z3^2 - 
    93303000*ln2*z2*z5 + 156872625*z3*z5)/9408000, 
 H[0, 1, 0, 0, -1, 1, -1, 0, 1] -> (672000*ln2^2*s6 - 1717800*s8a + 
    504000*s8b - 1344000*s8c + 1344000*s8d - 4687200*s6*z2 + 
    268800*li4half*z2^2 + 11200*ln2^4*z2^2 + 798000*ln2^2*z2^3 - 
    213883*z2^4 - 2688000*li5half*z3 + 22400*ln2^5*z3 - 224000*ln2^3*z2*z3 + 
    810600*ln2*z2^2*z3 + 189000*ln2^2*z3^2 + 2172975*z2*z3^2 + 
    4032000*ln2*z2*z5 - 1664250*z3*z5)/470400, 
 H[0, 1, 0, 0, -1, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    2016000*ln2^2*s6 + 18816000*ln2*s7a + 42336000*ln2*s7b - 98105175*s8a - 
    411264000*s8b - 55776000*s8c - 43008000*s8d - 84672000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 + 
    122472000*s6*z2 - 58699200*li4half*z2^2 + 494200*ln2^4*z2^2 + 
    7014000*ln2^2*z2^3 + 33863752*z2^4 + 104832000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 3242400*ln2^5*z3 - 7140000*ln2^3*z2*z3 + 
    26010600*ln2*z2^2*z3 + 18060000*ln2^2*z3^2 + 73510500*z2*z3^2 - 
    22785000*ln2^3*z5 - 19288500*ln2*z2*z5 - 192509625*z3*z5 + 
    308994000*ln2*z7)/9408000, H[0, 1, 0, 0, -1, 0, 1, 1, 1] -> 
  (-413175*s8a + 456992*z2^4 + 1564500*z2*z3^2 - 5320875*z3*z5)/672000, 
 H[0, 1, 0, 0, -1, 0, 1, 0, 1] -> (-4725*s8a - 337*z2^4 - 5880*z2*z3^2 + 
    16835*z3*z5)/2240, H[0, 1, 0, 0, -1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 36288000*ln2*s7a - 36288000*ln2*s7b + 978075*s8a - 
    30744000*s8b + 16128000*s8c - 16128000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 56952000*s6*z2 + 46872000*li4half*z2^2 - 
    1575000*ln2^4*z2^2 - 18471600*ln2^2*z2^3 - 5544003*z2^4 + 
    32256000*li5half*z3 - 98784000*li4half*ln2*z3 - 4384800*ln2^5*z3 + 
    27384000*ln2^3*z2*z3 + 58167900*ln2*z2^2*z3 - 47628000*ln2^2*z3^2 - 
    30507750*z2*z3^2 - 44320500*ln2*z2*z5 + 30499875*z3*z5 - 86144625*ln2*z7)/
   7056000, H[0, 1, 0, 0, -1, 0, 0, 1, 1] -> 
  (-158725*s8a + 93844*z2^4 + 178500*z2*z3^2 - 755125*z3*z5)/112000, 
 H[0, 1, 0, 0, -1, 0, 0, 0, 1] -> (72450*s8a - 55313*z2^4 + 47250*z3*z5)/
   28000, H[0, 1, 0, 0, -1, 0, 0, -1, 1] -> 
  (51975*s8a + 235200*s8b - 201600*s6*z2 - 4724*z2^4 + 87150*z2*z3^2 + 
    390600*ln2*z2*z5 - 215250*z3*z5 - 466725*ln2*z7)/22400, 
 H[0, 1, 0, 0, -1, 0, -1, 1, 1] -> (-6720000*ln2^2*s6 + 982275*s8a - 
    35616000*s8b + 13440000*s8c - 13440000*s8d + 45696000*s6*z2 + 
    2956800*li4half*z2^2 + 123200*ln2^4*z2^2 - 1075200*ln2^2*z2^3 + 
    5507944*z2^4 + 26880000*li5half*z3 - 224000*ln2^5*z3 + 
    2240000*ln2^3*z2*z3 + 7329000*ln2*z2^2*z3 - 12180000*ln2^2*z3^2 - 
    12726000*z2*z3^2 - 40320000*ln2*z2*z5 - 21338625*z3*z5)/4704000, 
 H[0, 1, 0, 0, -1, 0, -1, 0, 1] -> (72450*s8a - 44473*z2^4 - 49000*z2*z3^2 + 
    290500*z3*z5)/28000, H[0, 1, 0, 0, -1, 0, -1, -1, 1] -> 
  (6720000*ln2^2*s6 - 13440000*ln2*s7a - 13440000*ln2*s7b + 18563475*s8a + 
    13776000*s8b + 13440000*s8c - 13440000*s8d + 2184000*s6*z2 - 
    2688000*li4half*z2^2 - 112000*ln2^4*z2^2 - 2016000*ln2^2*z2^3 - 
    580264*z2^4 + 26880000*li5half*z3 - 224000*ln2^5*z3 + 
    2240000*ln2^3*z2*z3 + 6636000*ln2*z2^2*z3 - 8400000*ln2^2*z3^2 - 
    4163250*z2*z3^2 + 47008500*ln2*z2*z5 - 11636625*z3*z5 - 121101750*ln2*z7)/
   4704000, H[0, 1, 0, 0, -1, -1, 1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    23856000*ln2^2*s6 - 44381925*s8a - 93240000*s8b - 47712000*s8c + 
    24192000*s8d - 60144000*s6*z2 - 11155200*li4half*z2^2 - 
    2228800*ln2^4*z2^2 + 252000*ln2^2*z2^3 - 8072728*z2^4 - 
    86016000*li5half*z3 + 716800*ln2^5*z3 + 11060000*ln2^3*z2*z3 + 
    17560200*ln2*z2^2*z3 + 6709500*ln2^2*z3^2 + 67315500*z2*z3^2 - 
    7595000*ln2^3*z5 + 165921000*ln2*z2*z5 - 29386875*z3*z5)/9408000, 
 H[0, 1, 0, 0, -1, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    38304000*ln2^2*s6 + 39581325*s8a + 52416000*s8b + 76608000*s8c - 
    76608000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    174384000*s6*z2 - 6148800*li4half*z2^2 - 3784200*ln2^4*z2^2 - 
    12852000*ln2^2*z2^3 + 36433752*z2^4 + 153216000*li5half*z3 - 
    1276800*ln2^5*z3 + 12768000*ln2^3*z2*z3 - 52819200*ln2*z2^2*z3 - 
    10773000*ln2^2*z3^2 - 73332000*z2*z3^2 - 264001500*ln2*z2*z5 - 
    56676375*z3*z5)/14112000, H[0, 1, 0, 0, -1, -1, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    59472000*ln2^2*s6 + 72576000*ln2*s7a + 114912000*ln2*s7b + 9511425*s8a + 
    8064000*s8b - 26208000*s8c + 40320000*s8d - 84672000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 - 
    98280000*s6*z2 + 38404800*li4half*z2^2 + 13948200*ln2^4*z2^2 + 
    15624000*ln2^2*z2^3 - 36420072*z2^4 - 24192000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 2259600*ln2^5*z3 - 90216000*ln2^3*z2*z3 - 
    100976400*ln2*z2^2*z3 + 94405500*ln2^2*z3^2 - 9009000*z2*z3^2 - 
    18228000*ln2^3*z5 - 327946500*ln2*z2*z5 + 243833625*z3*z5 + 
    1111068000*ln2*z7)/28224000, H[0, 1, 0, 0, -1, -1, 0, 1, 1] -> 
  (102525*s8a + 240000*s6*z2 + 72000*li4half*z2^2 + 3000*ln2^4*z2^2 - 
    18000*ln2^2*z2^3 - 48536*z2^4 + 63000*ln2*z2^2*z3 - 336000*z2*z3^2 - 
    465000*ln2*z2*z5 + 803250*z3*z5)/96000, H[0, 1, 0, 0, -1, -1, 0, 0, 1] -> 
  (-72450*s8a + 504000*li4half*z2^2 + 21000*ln2^4*z2^2 - 126000*ln2^2*z2^3 - 
    30732*z2^4 + 441000*ln2*z2^2*z3 + 101500*z2*z3^2 - 1091125*z3*z5)/112000, 
 H[0, 1, 0, 0, -1, -1, 0, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    8064000*ln2^2*s6 - 16128000*ln2*s7a - 16128000*ln2*s7b + 6896925*s8a + 
    16128000*s8b + 16128000*s8c - 16128000*s8d + 8064000*li4half*ln2^2*z2 + 
    336000*ln2^6*z2 + 31752000*s6*z2 + 10483200*li4half*z2^2 - 
    571200*ln2^4*z2^2 - 5846400*ln2^2*z2^3 + 9335328*z2^4 + 
    32256000*li5half*z3 - 28224000*li4half*ln2*z3 - 1444800*ln2^5*z3 + 
    9744000*ln2^3*z2*z3 + 19958400*ln2*z2^2*z3 - 22428000*ln2^2*z3^2 - 
    9150750*z2*z3^2 - 31500*ln2*z2*z5 - 53668125*z3*z5 - 144522000*ln2*z7)/
   2016000, H[0, 1, 0, 0, -1, -1, -1, 1, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 - 
    6300000*ln2^2*s6 + 4550175*s8a + 43344000*s8b - 5040000*s8c + 
    22680000*s8d - 21168000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 - 34776000*s6*z2 + 12650400*li4half*z2^2 + 
    968100*ln2^4*z2^2 - 604800*ln2^2*z2^3 - 9682872*z2^4 - 
    22428000*li5half*z3 + 186900*ln2^5*z3 + 336000*ln2^3*z2*z3 + 
    3414600*ln2*z2^2*z3 + 4016250*ln2^2*z3^2 - 14852250*z2*z3^2 + 
    5696250*ln2^3*z5 + 20081250*ln2*z2*z5 + 62086500*z3*z5)/7056000, 
 H[0, 1, 0, 0, -1, -1, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 1620675*s8a - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 2520000*s6*z2 - 
    3830400*li4half*z2^2 + 344400*ln2^4*z2^2 + 957600*ln2^2*z2^3 - 
    629592*z2^4 - 14112000*li5half*z3 + 117600*ln2^5*z3 - 
    1176000*ln2^3*z2*z3 - 3351600*ln2*z2^2*z3 + 2173500*z2*z3^2 + 
    4882500*ln2*z2*z5 + 12458250*z3*z5)/2016000, 
 H[0, 1, 0, 0, -1, -1, -1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    6888000*ln2^2*s6 - 13776000*ln2*s7a - 25536000*ln2*s7b + 20701800*s8a + 
    66864000*s8b + 25536000*s8c - 13776000*s8d + 14112000*li6half*z2 + 
    14112000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 490000*ln2^6*z2 + 
    18144000*s6*z2 + 9240000*li4half*z2^2 - 1379000*ln2^4*z2^2 - 
    5065200*ln2^2*z2^3 + 6591148*z2^4 + 19320000*li5half*z3 - 
    32928000*li4half*ln2*z3 - 1533000*ln2^5*z3 + 11900000*ln2^3*z2*z3 + 
    14284200*ln2*z2^2*z3 - 23016000*ln2^2*z3^2 - 17204250*z2*z3^2 + 
    7595000*ln2^3*z5 + 5607000*ln2*z2*z5 - 32489625*z3*z5 - 205639875*ln2*z7)/
   4704000, H[0, 1, 0, -1, 1, 1, 1, 1, 1] -> 
  (-112896000*li8half - 2800*ln2^8 + 20160000*ln2^2*s6 - 9010575*s8a + 
    290304000*s8b - 40320000*s8c + 61488000*s8d + 169344000*li6half*z2 + 
    313600*ln2^6*z2 - 211176000*s6*z2 + 37699200*li4half*z2^2 + 
    483000*ln2^4*z2^2 - 19051200*ln2^2*z2^3 - 35867772*z2^4 - 
    38304000*li5half*z3 - 504000*ln2^5*z3 + 5040000*ln2^3*z2*z3 + 
    44604000*ln2*z2^2*z3 + 5670000*ln2^2*z3^2 + 12600000*z2*z3^2 + 
    120960000*ln2*z2*z5 - 47446875*z3*z5)/28224000, 
 H[0, 1, 0, -1, 1, 1, 1, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    15120000*ln2^2*s6 + 35960400*s8a - 35154000*s8b + 30240000*s8c - 
    30240000*s8d - 28224000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 
    333200*ln2^6*z2 + 65772000*s6*z2 - 29156400*li4half*z2^2 + 
    255150*ln2^4*z2^2 + 13664700*ln2^2*z2^3 + 14321304*z2^4 - 
    24192000*li5half*z3 + 24696000*li4half*ln2*z3 + 1230600*ln2^5*z3 - 
    10248000*ln2^3*z2*z3 - 49329000*ln2*z2^2*z3 + 8095500*ln2^2*z3^2 - 
    17388000*z2*z3^2 - 90720000*ln2*z2*z5 + 73938375*z3*z5)/7056000, 
 H[0, 1, 0, -1, 1, 1, 1, -1, 1] -> (77616000*li4half^2 + 338688000*li8half + 
    56448000*li7half*ln2 + 6468000*li4half*ln2^4 + 131950*ln2^8 - 
    18144000*ln2^2*s6 + 27720000*ln2*s7a + 59472000*ln2*s7b + 17250975*s8a + 
    140364000*s8b - 19152000*s8c + 5040000*s8d - 98784000*li6half*z2 + 
    42336000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 784000*ln2^6*z2 - 
    71820000*s6*z2 - 68140800*li4half*z2^2 - 2780400*ln2^4*z2^2 + 
    25124400*ln2^2*z2^3 - 3612654*z2^4 - 38304000*li5half*z3 + 
    135828000*li4half*ln2*z3 + 6390300*ln2^5*z3 - 39060000*ln2^3*z2*z3 - 
    101839500*ln2*z2^2*z3 + 58952250*ln2^2*z3^2 + 43139250*z2*z3^2 - 
    30759750*ln2^3*z5 - 8095500*ln2*z2*z5 - 87577875*z3*z5 + 
    116376750*ln2*z7)/14112000, H[0, 1, 0, -1, 1, 1, 0, 1, 1] -> 
  (-169344000*li4half^2 - 14112000*li4half*ln2^4 - 294000*ln2^8 - 
    18144000*ln2^2*s6 - 13319775*s8a - 355824000*s8b + 36288000*s8c - 
    36288000*s8d - 112896000*li6half*z2 + 84672000*li4half*ln2^2*z2 + 
    3371200*ln2^6*z2 + 234864000*s6*z2 + 202305600*li4half*z2^2 + 
    197400*ln2^4*z2^2 - 33541200*ln2^2*z2^3 - 18861204*z2^4 + 
    72576000*li5half*z3 - 296352000*li4half*ln2*z3 - 12952800*ln2^5*z3 + 
    63672000*ln2^3*z2*z3 + 175152600*ln2*z2^2*z3 - 147105000*ln2^2*z3^2 - 
    94248000*z2*z3^2 - 108864000*ln2*z2*z5 + 105958125*z3*z5)/28224000, 
 H[0, 1, 0, -1, 1, 1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    2520000*ln2^2*s6 - 5791275*s8a + 35406000*s8b - 5040000*s8c + 
    5040000*s8d - 7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 
    18900000*s6*z2 + 13885200*li4half*z2^2 + 1460550*ln2^4*z2^2 - 
    2211300*ln2^2*z2^3 - 2425629*z2^4 + 18144000*li5half*z3 + 
    24696000*li4half*ln2*z3 + 877800*ln2^5*z3 - 4662000*ln2^3*z2*z3 + 
    4120200*ln2*z2^2*z3 + 6882750*ln2^2*z3^2 + 5874750*z2*z3^2 + 
    15120000*ln2*z2*z5 - 50699250*z3*z5)/3528000, 
 H[0, 1, 0, -1, 1, 1, 0, -1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    266112000*ln2^2*s6 - 245952000*ln2*s7a - 133056000*ln2*s7b - 
    220591350*s8a - 1381968000*s8b - 40320000*s8c - 298368000*s8d - 
    1072512000*li6half*z2 - 338688000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 6036800*ln2^6*z2 + 318024000*s6*z2 + 
    140716800*li4half*z2^2 - 14128800*ln2^4*z2^2 - 77238000*ln2^2*z2^3 + 
    187801464*z2^4 + 822528000*li5half*z3 - 395136000*li4half*ln2*z3 - 
    23318400*ln2^5*z3 + 159096000*ln2^3*z2*z3 + 541762200*ln2*z2^2*z3 - 
    332640000*ln2^2*z3^2 + 266285250*z2*z3^2 - 109368000*ln2^3*z5 + 
    610816500*ln2*z2*z5 - 988044750*z3*z5 - 817023375*ln2*z7)/28224000, 
 H[0, 1, 0, -1, 1, 1, -1, 1, 1] -> 
  (-677376000*li4half^2 - 2032128000*li8half + 112896000*li6half*ln2^2 - 
    56448000*li4half*ln2^4 - 1069600*ln2^8 + 213696000*ln2^2*s6 - 
    702958725*s8a - 3928680000*s8b - 554400000*s8c - 165312000*s8d - 
    451584000*li6half*z2 - 592704000*li5half*ln2*z2 + 3371200*ln2^6*z2 + 
    514080000*s6*z2 + 465091200*li4half*z2^2 + 36372000*ln2^4*z2^2 - 
    122320800*ln2^2*z2^3 + 31423104*z2^4 + 972720000*li5half*z3 - 
    592704000*li4half*ln2*z3 - 31155600*ln2^5*z3 + 186312000*ln2^3*z2*z3 + 
    942820200*ln2*z2^2*z3 - 122031000*ln2^2*z3^2 + 612045000*z2*z3^2 + 
    2247966000*ln2*z2*z5 - 748904625*z3*z5)/56448000, 
 H[0, 1, 0, -1, 1, 1, -1, 0, 1] -> 
  (33868800*li4half^2 + 2822400*li4half*ln2^4 + 58800*ln2^8 - 
    1209600*ln2^2*s6 + 1343475*s8a + 13910400*s8b + 2419200*s8c - 
    2419200*s8d + 5644800*li6half*z2 - 16934400*li4half*ln2^2*z2 - 
    697760*ln2^6*z2 + 1663200*s6*z2 - 19817280*li4half*z2^2 + 
    1173480*ln2^4*z2^2 + 1615320*ln2^2*z2^3 + 3999942*z2^4 - 
    19152000*li5half*z3 + 19756800*li4half*ln2*z3 + 982800*ln2^5*z3 - 
    5712000*ln2^3*z2*z3 - 14036400*ln2*z2^2*z3 + 7686000*ln2^2*z3^2 - 
    17325*z2*z3^2 - 7257600*ln2*z2*z5 + 9268875*z3*z5)/2822400, 
 H[0, 1, 0, -1, 1, 1, -1, -1, 1] -> 
  (-45158400*li4half^2 + 180633600*li8half - 45158400*li7half*ln2 - 
    22579200*li6half*ln2^2 - 3763200*li4half*ln2^4 - 96320*ln2^8 + 
    8870400*ln2^2*s6 - 35884800*ln2*s7a - 41529600*ln2*s7b + 93162825*s8a + 
    549864000*s8b + 79430400*s8c + 39110400*s8d + 90316800*li6half*z2 + 
    50803200*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 2210880*ln2^6*z2 - 
    75398400*s6*z2 + 47335680*li4half*z2^2 - 8917440*ln2^4*z2^2 - 
    20563200*ln2^2*z2^3 - 20312784*z2^4 - 102211200*li5half*z3 - 
    118540800*li4half*ln2*z3 - 4416720*ln2^5*z3 + 27938400*ln2^3*z2*z3 - 
    20646360*ln2*z2^2*z3 - 67888800*ln2^2*z3^2 - 103716900*z2*z3^2 + 
    5468400*ln2^3*z5 - 214552800*ln2*z2*z5 + 105655725*z3*z5 - 
    192233475*ln2*z7)/11289600, H[0, 1, 0, -1, 1, 0, 1, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 672000*ln2^2*s6 + 
    150675*s8a - 3948000*s8b + 1344000*s8c - 1344000*s8d - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 6048000*s6*z2 - 
    3645600*li4half*z2^2 + 100100*ln2^4*z2^2 + 877800*ln2^2*z2^3 + 
    1703508*z2^4 + 7056000*li4half*ln2*z3 + 294000*ln2^5*z3 - 
    1764000*ln2^3*z2*z3 - 5027400*ln2*z2^2*z3 + 3045000*ln2^2*z3^2 - 
    4032000*ln2*z2*z5 - 2601375*z3*z5)/672000, 
 H[0, 1, 0, -1, 1, 0, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 6907950*s8a + 2016000*s8b - 8064000*s8c + 
    8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    16128000*s6*z2 + 8769600*li4half*z2^2 - 138600*ln2^4*z2^2 - 
    1990800*ln2^2*z2^3 - 4843047*z2^4 - 8064000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 520800*ln2^5*z3 + 2856000*ln2^3*z2*z3 + 
    8605800*ln2*z2^2*z3 - 2394000*ln2^2*z3^2 + 2898000*z2*z3^2 + 
    24192000*ln2*z2*z5 + 10725750*z3*z5)/1008000, 
 H[0, 1, 0, -1, 1, 0, 1, -1, 1] -> 
  (-9031680*li4half^2 - 752640*li4half*ln2^4 - 15680*ln2^8 - 
    2016000*ln2^2*s6 - 725760*ln2*s7a - 5241600*ln2*s7b + 8193150*s8a + 
    49875840*s8b + 5483520*s8c + 8064000*s8d + 40642560*li6half*z2 + 
    10160640*li5half*ln2*z2 + 4515840*li4half*ln2^2*z2 + 159936*ln2^6*z2 + 
    241920*s6*z2 + 9628416*li4half*z2^2 - 163296*ln2^4*z2^2 - 
    3387888*ln2^2*z2^3 - 7797456*z2^4 - 22901760*li5half*z3 - 
    15805440*li4half*ln2*z3 - 467712*ln2^5*z3 + 3524640*ln2^3*z2*z3 - 
    3052728*ln2*z2^2*z3 - 2666160*ln2^2*z3^2 - 16028460*z2*z3^2 + 
    4374720*ln2^3*z5 - 19103490*ln2*z2*z5 + 33651450*z3*z5 - 16215255*ln2*z7)/
   564480, H[0, 1, 0, -1, 1, 0, 0, 1, 1] -> 
  (-1344000*ln2^2*s6 + 1621725*s8a + 8904000*s8b + 2688000*s8c - 
    2688000*s8d - 1344000*s6*z2 - 1344000*li4half*z2^2 - 56000*ln2^4*z2^2 + 
    268800*ln2^2*z2^3 + 1826406*z2^4 + 2688000*li5half*z3 - 22400*ln2^5*z3 + 
    224000*ln2^3*z2*z3 - 516600*ln2*z2^2*z3 - 1260000*ln2^2*z3^2 + 
    777000*z2*z3^2 - 8064000*ln2*z2*z5 - 9447375*z3*z5)/672000, 
 H[0, 1, 0, -1, 1, 0, 0, 0, 1] -> (298200*s8a - 1176000*s8b + 672000*s6*z2 - 
    806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 201600*ln2^2*z2^3 + 
    107627*z2^4 - 205800*ln2*z2^2*z3 - 378000*z2*z3^2 + 798000*z3*z5)/168000, 
 H[0, 1, 0, -1, 1, 0, 0, -1, 1] -> (645120*li4half^2 + 53760*li4half*ln2^4 + 
    1120*ln2^8 - 322560*ln2^2*s6 + 322560*ln2*s7a + 322560*ln2*s7b + 
    177030*s8a + 927360*s8b - 322560*li4half*ln2^2*z2 - 13440*ln2^6*z2 - 
    645120*s6*z2 - 572544*li4half*z2^2 + 16464*ln2^4*z2^2 + 
    199584*ln2^2*z2^3 + 129618*z2^4 - 241920*li5half*z3 + 
    1128960*li4half*ln2*z3 + 49056*ln2^5*z3 - 302400*ln2^3*z2*z3 - 
    676872*ln2*z2^2*z3 + 509040*ln2^2*z3^2 + 286020*z2*z3^2 + 
    224280*ln2*z2*z5 - 520695*z3*z5 + 250110*ln2*z7)/80640, 
 H[0, 1, 0, -1, 1, 0, -1, 1, 1] -> 
  (564480000*li4half^2 + 47040000*li4half*ln2^4 + 980000*ln2^8 - 
    124992000*ln2^2*s6 - 25825275*s8a - 1247400000*s8b + 362880000*s8c - 
    701568000*s8d + 846720000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 - 
    4704000*ln2^6*z2 + 1516032000*s6*z2 - 504403200*li4half*z2^2 + 
    151200*ln2^4*z2^2 + 181087200*ln2^2*z2^3 + 357594516*z2^4 + 
    485856000*li5half*z3 + 395136000*li4half*ln2*z3 + 12415200*ln2^5*z3 - 
    132384000*ln2^3*z2*z3 - 199810800*ln2*z2^2*z3 - 41328000*ln2^2*z3^2 - 
    86058000*z2*z3^2 - 1983649500*ln2*z2*z5 - 891623250*z3*z5)/28224000, 
 H[0, 1, 0, -1, 1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 3141600*s8a - 2688000*s8b - 8064000*s8c + 
    8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    14112000*s6*z2 + 6216000*li4half*z2^2 - 245000*ln2^4*z2^2 - 
    1352400*ln2^2*z2^3 - 5087081*z2^4 + 4704000*li5half*z3 - 
    4704000*li4half*ln2*z3 - 235200*ln2^5*z3 + 1568000*ln2^3*z2*z3 + 
    8349600*ln2*z2^2*z3 + 252000*ln2^2*z3^2 + 3769500*z2*z3^2 + 
    24192000*ln2*z2*z5 + 454125*z3*z5)/336000, 
 H[0, 1, 0, -1, 1, 0, -1, -1, 1] -> (56448000*ln2^2*s6 - 6720000*ln2*s7a + 
    68544000*ln2*s7b - 107874900*s8a - 407232000*s8b - 137088000*s8c + 
    24192000*s8d - 338688000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 940800*ln2^6*z2 - 184800000*s6*z2 + 
    5779200*li4half*z2^2 + 2592800*ln2^4*z2^2 - 8601600*ln2^2*z2^3 + 
    5389896*z2^4 + 78624000*li5half*z3 + 65856000*li4half*ln2*z3 + 
    2088800*ln2^5*z3 - 9912000*ln2^3*z2*z3 + 56477400*ln2*z2^2*z3 + 
    36456000*ln2^2*z3^2 + 188921250*z2*z3^2 - 72912000*ln2^3*z5 + 
    528832500*ln2*z2*z5 - 169000125*z3*z5 + 274333500*ln2*z7)/9408000, 
 H[0, 1, 0, -1, 1, -1, 1, 1, 1] -> (112896000*li4half^2 + 413952000*li8half + 
    6272000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 154000*ln2^8 - 
    27552000*ln2^2*s6 + 113291325*s8a + 823704000*s8b + 55104000*s8c + 
    130704000*s8d - 169344000*li6half*z2 - 18816000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 - 370776000*s6*z2 - 
    44654400*li4half*z2^2 - 5594400*ln2^4*z2^2 + 30954000*ln2^2*z2^3 - 
    14425668*z2^4 - 275520000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    6686400*ln2^5*z3 - 27468000*ln2^3*z2*z3 - 159831000*ln2*z2^2*z3 + 
    39585000*ln2^2*z3^2 - 48825000*z2*z3^2 - 9873500*ln2^3*z5 - 
    135691500*ln2*z2*z5 + 221114250*z3*z5)/9408000, 
 H[0, 1, 0, -1, 1, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    18144000*ln2^2*s6 + 6183450*s8a + 42840000*s8b + 36288000*s8c - 
    36288000*s8d + 112896000*li6half*z2 + 14112000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 + 100800000*s6*z2 + 
    1915200*li4half*z2^2 - 4624200*ln2^4*z2^2 - 13519800*ln2^2*z2^3 + 
    7524162*z2^4 + 157248000*li5half*z3 - 1310400*ln2^5*z3 + 
    15162000*ln2^3*z2*z3 + 3339000*ln2*z2^2*z3 - 17451000*ln2^2*z3^2 - 
    40887000*z2*z3^2 - 131079375*ln2*z2*z5 - 141718500*z3*z5)/7056000, 
 H[0, 1, 0, -1, 1, -1, 1, -1, 1] -> 
  (-903168000*li8half - 56448000*li7half*ln2 - 9408000*li5half*ln2^3 + 
    67200*ln2^8 + 95256000*ln2^2*s6 + 57960000*ln2*s7a + 103824000*ln2*s7b - 
    431745300*s8a - 2467584000*s8b - 306432000*s8c - 201600000*s8d - 
    112896000*li6half*z2 - 141120000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 2900800*ln2^6*z2 + 628992000*s6*z2 - 
    60076800*li4half*z2^2 + 19017600*ln2^4*z2^2 - 15422400*ln2^2*z2^3 + 
    64976472*z2^4 + 501984000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    1579200*ln2^5*z3 - 36960000*ln2^3*z2*z3 + 244755000*ln2*z2^2*z3 + 
    109368000*ln2^2*z3^2 + 325962000*z2*z3^2 - 29620500*ln2^3*z5 + 
    571095000*ln2*z2*z5 - 401995125*z3*z5 + 1015654500*ln2*z7)/14112000, 
 H[0, 1, 0, -1, 1, -1, 0, 1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    8064000*ln2^2*s6 + 35757225*s8a + 425880000*s8b - 16128000*s8c + 
    16128000*s8d + 451584000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 4390400*ln2^6*z2 - 60480000*s6*z2 + 
    212083200*li4half*z2^2 - 5275200*ln2^4*z2^2 - 88502400*ln2^2*z2^3 - 
    98640924*z2^4 - 102816000*li5half*z3 - 395136000*li4half*ln2*z3 - 
    15607200*ln2^5*z3 + 106680000*ln2^3*z2*z3 + 195652800*ln2*z2^2*z3 - 
    158256000*ln2^2*z3^2 - 58464000*z2*z3^2 - 129339000*ln2*z2*z5 - 
    37831500*z3*z5)/28224000, H[0, 1, 0, -1, 1, -1, 0, 0, 1] -> 
  (-6720000*ln2^2*s6 + 10827600*s8a - 37968000*s8b + 13440000*s8c - 
    13440000*s8d + 50400000*s6*z2 + 17068800*li4half*z2^2 + 
    711200*ln2^4*z2^2 - 7627200*ln2^2*z2^3 - 394274*z2^4 - 
    34272000*li5half*z3 + 285600*ln2^5*z3 - 2856000*ln2^3*z2*z3 + 
    4389000*ln2*z2^2*z3 + 4284000*ln2^2*z3^2 - 18606000*z2*z3^2 - 
    40320000*ln2*z2*z5 + 36101625*z3*z5)/4704000, 
 H[0, 1, 0, -1, 1, -1, 0, -1, 1] -> 
  (-45158400*li4half^2 - 3763200*li4half*ln2^4 - 78400*ln2^8 - 
    13708800*ln2^2*s6 - 22579200*ln2*s7a - 45158400*ln2*s7b + 73004400*s8a + 
    290304000*s8b + 72576000*s8c - 4838400*s8d + 225792000*li6half*z2 + 
    73382400*li5half*ln2*z2 + 22579200*li4half*ln2^2*z2 + 642880*ln2^6*z2 + 
    77414400*s6*z2 + 37416960*li4half*z2^2 + 147840*ln2^4*z2^2 - 
    15114960*ln2^2*z2^3 - 17695632*z2^4 - 38304000*li5half*z3 - 
    79027200*li4half*ln2*z3 - 2973600*ln2^5*z3 + 17388000*ln2^3*z2*z3 - 
    8615880*ln2*z2^2*z3 - 39664800*ln2^2*z3^2 - 101619000*z2*z3^2 + 
    21873600*ln2^3*z5 - 126066150*ln2*z2*z5 + 55372275*z3*z5 - 
    348301800*ln2*z7)/2822400, H[0, 1, 0, -1, 1, -1, -1, 1, 1] -> 
  (479808000*li4half^2 - 225792000*li8half - 112896000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 + 39984000*li4half*ln2^4 + 984200*ln2^8 - 
    17136000*ln2^2*s6 - 320781825*s8a - 2046744000*s8b + 62496000*s8c - 
    669312000*s8d + 451584000*li6half*z2 + 931392000*li5half*ln2*z2 + 
    183456000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 1642032000*s6*z2 - 
    332841600*li4half*z2^2 - 6871200*ln2^4*z2^2 + 31852800*ln2^2*z2^3 + 
    241536888*z2^4 + 357840000*li5half*z3 - 4628400*ln2^5*z3 + 
    46284000*ln2^3*z2*z3 + 232331400*ln2*z2^2*z3 - 165343500*ln2^2*z3^2 + 
    96232500*z2*z3^2 + 59241000*ln2^3*z5 - 1305423000*ln2*z2*z5 - 
    1109233125*z3*z5)/56448000, H[0, 1, 0, -1, 1, -1, -1, 0, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    177408000*ln2^2*s6 - 98472150*s8a - 262080000*s8b - 354816000*s8c + 
    354816000*s8d - 395136000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 4625600*ln2^6*z2 - 759024000*s6*z2 + 
    176803200*li4half*z2^2 - 3217200*ln2^4*z2^2 + 4989600*ln2^2*z2^3 - 
    185826204*z2^4 + 52416000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    4552800*ln2^5*z3 + 20832000*ln2^3*z2*z3 + 288174600*ln2*z2^2*z3 + 
    56070000*ln2^2*z3^2 + 229288500*z2*z3^2 + 1153309500*ln2*z2*z5 + 
    310944375*z3*z5)/28224000, H[0, 1, 0, -1, 1, -1, -1, -1, 1] -> 
  (-395136000*li4half^2 + 1354752000*li8half + 225792000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    32928000*li4half*ln2^4 - 854000*ln2^8 - 123984000*ln2^2*s6 - 
    239904000*ln2*s7a - 296352000*ln2*s7b + 928435725*s8a + 4713912000*s8b + 
    699552000*s8c + 288288000*s8d + 1072512000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 4508000*ln2^6*z2 - 
    717696000*s6*z2 + 400579200*li4half*z2^2 - 11062800*ln2^4*z2^2 - 
    104832000*ln2^2*z2^3 - 229609224*z2^4 - 710640000*li5half*z3 - 
    543312000*li4half*ln2*z3 - 15069600*ln2^5*z3 + 106008000*ln2^3*z2*z3 - 
    345227400*ln2*z2^2*z3 - 328135500*ln2^2*z3^2 - 808888500*z2*z3^2 - 
    4557000*ln2^3*z5 - 611163000*ln2*z2*z5 + 567795375*z3*z5 - 
    3025756125*ln2*z7)/56448000, H[0, 1, 0, -1, 0, 1, 1, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 2515275*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 1915200*li4half*z2^2 - 
    424200*ln2^4*z2^2 - 478800*ln2^2*z2^3 + 1663716*z2^4 - 
    14112000*li4half*ln2*z3 - 588000*ln2^5*z3 + 3528000*ln2^3*z2*z3 + 
    1675800*ln2*z2^2*z3 - 6174000*ln2^2*z3^2 + 5985000*z2*z3^2 - 
    16230375*z3*z5)/4032000, H[0, 1, 0, -1, 0, 1, 1, 0, 1] -> 
  (-421575*s8a + 672000*li4half*z2^2 + 28000*ln2^4*z2^2 - 168000*ln2^2*z2^3 - 
    40787*z2^4 + 588000*ln2*z2^2*z3 - 168000*z2*z3^2 - 637875*z3*z5)/336000, 
 H[0, 1, 0, -1, 0, 1, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    26208000*ln2^2*s6 - 76608000*ln2*s7a - 76608000*ln2*s7b + 79323300*s8a - 
    66528000*s8b + 205632000*s8c - 205632000*s8d - 508032000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 112896000*li4half*ln2^2*z2 - 
    3998400*ln2^6*z2 + 150192000*s6*z2 - 90518400*li4half*z2^2 + 
    17396400*ln2^4*z2^2 + 55792800*ln2^2*z2^3 + 168444348*z2^4 + 
    524160000*li5half*z3 + 98784000*li4half*ln2*z3 - 252000*ln2^5*z3 - 
    55104000*ln2^3*z2*z3 + 102097800*ln2*z2^2*z3 - 124677000*ln2^2*z3^2 - 
    41548500*z2*z3^2 - 348201000*ln2*z2*z5 - 482611500*z3*z5 - 
    407444625*ln2*z7)/28224000, H[0, 1, 0, -1, 0, 1, 0, 1, 1] -> 
  (230400*li4half^2 + 19200*li4half*ln2^4 + 400*ln2^8 + 53550*s8a - 
    115200*li4half*ln2^2*z2 - 4800*ln2^6*z2 - 273600*li4half*z2^2 + 
    3000*ln2^4*z2^2 + 68400*ln2^2*z2^3 + 28827*z2^4 + 403200*li4half*ln2*z3 + 
    16800*ln2^5*z3 - 100800*ln2^3*z2*z3 - 239400*ln2*z2^2*z3 + 
    176400*ln2^2*z3^2 - 31500*z2*z3^2 + 267750*z3*z5)/28800, 
 H[0, 1, 0, -1, 0, 1, 0, 0, 1] -> (-20825*s8a - 53760*li4half*z2^2 - 
    2240*ln2^4*z2^2 + 13440*ln2^2*z2^3 + 29537*z2^4 - 47040*ln2*z2^2*z3 + 
    16800*z2*z3^2 - 59325*z3*z5)/11200, H[0, 1, 0, -1, 0, 1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 4069800*s8a - 
    8064000*s8c + 8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    16128000*s6*z2 - 5544000*li4half*z2^2 + 273000*ln2^4*z2^2 + 
    2998800*ln2^2*z2^3 - 2482443*z2^4 - 16128000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 722400*ln2^5*z3 - 4872000*ln2^3*z2*z3 - 
    10243800*ln2*z2^2*z3 + 11214000*ln2^2*z3^2 + 5717250*z2*z3^2 + 
    504000*ln2*z2*z5 + 15435000*z3*z5 + 56259000*ln2*z7)/1008000, 
 H[0, 1, 0, -1, 0, 1, -1, 1, 1] -> (4334400*ln2^2*s6 - 3493875*s8a - 
    1276800*s8b - 8668800*s8c + 8668800*s8d - 5644800*li5half*ln2*z2 + 
    47040*ln2^6*z2 - 14985600*s6*z2 + 1169280*li4half*z2^2 - 
    421680*ln2^4*z2^2 - 1799280*ln2^2*z2^3 - 4401956*z2^4 - 
    11222400*li5half*z3 + 93520*ln2^5*z3 + 1534400*ln2^3*z2*z3 + 
    614040*ln2*z2^2*z3 + 3637200*ln2^2*z3^2 + 3973200*z2*z3^2 + 
    31430700*ln2*z2*z5 + 16319100*z3*z5)/470400, 
 H[0, 1, 0, -1, 0, 1, -1, 0, 1] -> (230400*li4half^2 + 19200*li4half*ln2^4 + 
    400*ln2^8 - 345600*ln2^2*s6 + 258750*s8a + 28800*s8b + 691200*s8c - 
    691200*s8d - 115200*li4half*ln2^2*z2 - 4800*ln2^6*z2 + 1267200*s6*z2 - 
    342720*li4half*z2^2 + 120*ln2^4*z2^2 + 68400*ln2^2*z2^3 + 411951*z2^4 + 
    576000*li5half*z3 + 403200*li4half*ln2*z3 + 12000*ln2^5*z3 - 
    52800*ln2^3*z2*z3 - 414360*ln2*z2^2*z3 - 97200*ln2^2*z3^2 - 
    350550*z2*z3^2 - 2073600*ln2*z2*z5 - 872550*z3*z5)/28800, 
 H[0, 1, 0, -1, 0, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38976000*ln2^2*s6 + 22176000*ln2*s7a + 22176000*ln2*s7b + 13438425*s8a - 
    6720000*s8b + 33600000*s8c - 33600000*s8d + 28224000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1411200*ln2^6*z2 + 60144000*s6*z2 - 
    56817600*li4half*z2^2 + 3512600*ln2^4*z2^2 + 25863600*ln2^2*z2^3 + 
    25581758*z2^4 + 53088000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    3673600*ln2^5*z3 - 32620000*ln2^3*z2*z3 - 44251200*ln2*z2^2*z3 + 
    20422500*ln2^2*z3^2 - 18235875*z2*z3^2 - 210372750*ln2*z2*z5 - 
    50507625*z3*z5 + 162713250*ln2*z7)/4704000, 
 H[0, 1, 0, -1, 0, 0, 1, 1, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 + 382725*s8a + 
    806400*li4half*ln2^2*z2 + 33600*ln2^6*z2 + 1512000*li4half*z2^2 - 
    37800*ln2^4*z2^2 - 378000*ln2^2*z2^3 - 576288*z2^4 - 
    2822400*li4half*ln2*z3 - 117600*ln2^5*z3 + 705600*ln2^3*z2*z3 + 
    1323000*ln2*z2^2*z3 - 1234800*ln2^2*z3^2 - 919800*z2*z3^2 + 
    2795625*z3*z5)/403200, H[0, 1, 0, -1, 0, 0, 1, 0, 1] -> 
  (23625*s8a + 53760*li4half*z2^2 + 2240*ln2^4*z2^2 - 13440*ln2^2*z2^3 - 
    22371*z2^4 + 47040*ln2*z2^2*z3 + 16800*z2*z3^2 - 47075*z3*z5)/11200, 
 H[0, 1, 0, -1, 0, 0, 1, -1, 1] -> (9408000*ln2^2*s6 - 3360000*ln2*s7a - 
    3360000*ln2*s7b - 3718575*s8a + 12768000*s8b - 12096000*s8c + 
    12096000*s8d - 27720000*s6*z2 + 6888000*li4half*z2^2 + 
    287000*ln2^4*z2^2 - 2007600*ln2^2*z2^3 - 5925237*z2^4 - 
    24192000*li5half*z3 - 16464000*li4half*ln2*z3 - 484400*ln2^5*z3 + 
    2100000*ln2^3*z2*z3 + 7776300*ln2*z2^2*z3 - 2499000*ln2^2*z3^2 + 
    11387250*z2*z3^2 + 70964250*ln2*z2*z5 + 6575625*z3*z5 - 64113000*ln2*z7)/
   2352000, H[0, 1, 0, -1, 0, 0, 0, 1, 1] -> 
  (57225*s8a - 268800*li4half*z2^2 - 11200*ln2^4*z2^2 + 67200*ln2^2*z2^3 + 
    97071*z2^4 - 235200*ln2*z2^2*z3 + 31500*z2*z3^2 - 49875*z3*z5)/168000, 
 H[0, 1, 0, -1, 0, 0, 0, 0, 1] -> (-26775*s8a + 13411*z2^4 + 76125*z3*z5)/
   28000, H[0, 1, 0, -1, 0, 0, 0, -1, 1] -> 
  (-146475*s8a - 1176000*s8b + 1008000*s6*z2 - 235200*li4half*z2^2 - 
    9800*ln2^4*z2^2 + 58800*ln2^2*z2^3 + 65454*z2^4 - 205800*ln2*z2^2*z3 - 
    504000*z2*z3^2 - 1953000*ln2*z2*z5 + 1420125*z3*z5 + 2333625*ln2*z7)/
   168000, H[0, 1, 0, -1, 0, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    46368000*ln2^2*s6 + 64064700*s8a + 46368000*s8b + 92736000*s8c - 
    92736000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    100800000*s6*z2 - 7257600*li4half*z2^2 - 3830400*ln2^4*z2^2 - 
    504000*ln2^2*z2^3 + 36594882*z2^4 + 185472000*li5half*z3 - 
    1545600*ln2^5*z3 + 15456000*ln2^3*z2*z3 - 3364200*ln2*z2^2*z3 - 
    40824000*ln2^2*z3^2 - 35595000*z2*z3^2 - 221980500*ln2*z2*z5 - 
    195575625*z3*z5)/14112000, H[0, 1, 0, -1, 0, 0, -1, 0, 1] -> 
  (-37800*s8a + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 58800*ln2^2*z2^3 - 
    73158*z2^4 + 205800*ln2*z2^2*z3 + 26250*z2*z3^2 - 144375*z3*z5)/56000, 
 H[0, 1, 0, -1, 0, 0, -1, -1, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 + 725760*ln2^2*s6 - 
    1451520*ln2*s7a - 1451520*ln2*s7b + 418005*s8a - 1249920*s8b + 
    1451520*s8c - 1451520*s8d + 1128960*li4half*ln2^2*z2 + 47040*ln2^6*z2 + 
    4173120*s6*z2 + 1403136*li4half*z2^2 - 82656*ln2^4*z2^2 - 
    641088*ln2^2*z2^3 + 469116*z2^4 + 2903040*li5half*z3 - 
    3951360*li4half*ln2*z3 - 188832*ln2^5*z3 + 1229760*ln2^3*z2*z3 + 
    2198448*ln2*z2^2*z3 - 2635920*ln2^2*z3^2 - 1467900*z2*z3^2 - 
    2551500*ln2*z2*z5 - 1726200*z3*z5 - 7646310*ln2*z7)/564480, 
 H[0, 1, 0, -1, 0, -1, 1, 1, 1] -> 
  (-90316800*li4half^2 - 7526400*li4half*ln2^4 - 156800*ln2^8 - 
    39110400*ln2^2*s6 + 48385575*s8a + 15825600*s8b + 78220800*s8c - 
    78220800*s8d + 11289600*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 
    142329600*s6*z2 + 36005760*li4half*z2^2 + 4322640*ln2^4*z2^2 - 
    614880*ln2^2*z2^3 + 24592656*z2^4 + 179020800*li5half*z3 - 
    39513600*li4half*ln2*z3 - 3138240*ln2^5*z3 - 4838400*ln2^3*z2*z3 + 
    10400040*ln2*z2^2*z3 - 36930600*ln2^2*z3^2 - 59371200*z2*z3^2 - 
    234662400*ln2*z2*z5 - 125834625*z3*z5)/5644800, 
 H[0, 1, 0, -1, 0, -1, 1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    12096000*ln2^2*s6 - 10650150*s8a - 1008000*s8b - 24192000*s8c + 
    24192000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    44352000*s6*z2 + 9374400*li4half*z2^2 + 894600*ln2^4*z2^2 - 
    1738800*ln2^2*z2^3 - 13328859*z2^4 - 48384000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 184800*ln2^5*z3 - 504000*ln2^3*z2*z3 + 
    12209400*ln2*z2^2*z3 + 3402000*ln2^2*z3^2 + 14490000*z2*z3^2 + 
    72576000*ln2*z2*z5 + 40871250*z3*z5)/1008000, 
 H[0, 1, 0, -1, 0, -1, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    111888000*ln2^2*s6 - 93744000*ln2*s7a - 93744000*ln2*s7b - 11155725*s8a + 
    38304000*s8b - 36288000*s8c + 36288000*s8d + 169344000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 4233600*ln2^6*z2 + 
    5040000*s6*z2 + 77112000*li4half*z2^2 - 17955000*ln2^4*z2^2 - 
    60631200*ln2^2*z2^3 - 49057206*z2^4 - 129024000*li5half*z3 - 
    246960000*li4half*ln2*z3 - 9214800*ln2^5*z3 + 112728000*ln2^3*z2*z3 + 
    124028100*ln2*z2^2*z3 - 112077000*ln2^2*z3^2 - 2000250*z2*z3^2 + 
    383575500*ln2*z2*z5 + 69780375*z3*z5 - 768025125*ln2*z7)/7056000, 
 H[0, 1, 0, -1, 0, -1, 0, 1, 1] -> (322560*li4half^2 + 26880*li4half*ln2^4 + 
    560*ln2^8 - 74970*s8a - 161280*li4half*ln2^2*z2 - 6720*ln2^6*z2 - 
    407232*li4half*z2^2 + 3192*ln2^4*z2^2 + 101808*ln2^2*z2^3 + 132921*z2^4 + 
    564480*li4half*ln2*z3 + 23520*ln2^5*z3 - 141120*ln2^3*z2*z3 - 
    356328*ln2*z2^2*z3 + 246960*ln2^2*z3^2 + 158760*z2*z3^2 - 374850*z3*z5)/
   40320, H[0, 1, 0, -1, 0, -1, 0, 0, 1] -> 
  (-26775*s8a - 369600*li4half*z2^2 - 15400*ln2^4*z2^2 + 92400*ln2^2*z2^3 + 
    112261*z2^4 - 323400*ln2*z2^2*z3 + 19250*z2*z3^2 + 188125*z3*z5)/28000, 
 H[0, 1, 0, -1, 0, -1, 0, -1, 1] -> (230400*li4half^2 + 19200*li4half*ln2^4 + 
    400*ln2^8 - 115200*ln2^2*s6 + 230400*ln2*s7a + 230400*ln2*s7b - 
    130050*s8a - 76800*s8b - 230400*s8c + 230400*s8d - 
    115200*li4half*ln2^2*z2 - 4800*ln2^6*z2 - 403200*s6*z2 - 
    146880*li4half*z2^2 + 8280*ln2^4*z2^2 + 82800*ln2^2*z2^3 - 75471*z2^4 - 
    460800*li5half*z3 + 403200*li4half*ln2*z3 + 20640*ln2^5*z3 - 
    139200*ln2^3*z2*z3 - 282600*ln2*z2^2*z3 + 320400*ln2^2*z3^2 + 
    132300*z2*z3^2 - 97200*ln2*z2*z5 + 518550*z3*z5 + 1759800*ln2*z7)/9600, 
 H[0, 1, 0, -1, 0, -1, -1, 1, 1] -> 
  (-30912000*ln2^2*s6 + 42709800*s8a + 30912000*s8b + 61824000*s8c - 
    61824000*s8d + 56448000*li5half*ln2*z2 - 470400*ln2^6*z2 + 
    90720000*s6*z2 - 36590400*li4half*z2^2 + 3179400*ln2^4*z2^2 + 
    24838800*ln2^2*z2^3 + 31913188*z2^4 + 62496000*li5half*z3 + 
    32928000*li4half*ln2*z3 + 851200*ln2^5*z3 - 27720000*ln2^3*z2*z3 - 
    64423800*ln2*z2^2*z3 + 14973000*ln2^2*z3^2 - 20496000*z2*z3^2 - 
    205096500*ln2*z2*z5 - 68515125*z3*z5)/9408000, 
 H[0, 1, 0, -1, 0, -1, -1, 0, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 - 579600*s8a + 
    806400*li4half*ln2^2*z2 + 33600*ln2^6*z2 + 866880*li4half*z2^2 - 
    64680*ln2^4*z2^2 - 216720*ln2^2*z2^3 + 136617*z2^4 + 2822400*li5half*z3 - 
    23520*ln2^5*z3 + 235200*ln2^3*z2*z3 + 758520*ln2*z2^2*z3 + 
    53550*z2*z3^2 - 3778425*z3*z5)/201600, 
 H[0, 1, 0, -1, 0, -1, -1, -1, 1] -> 
  (45158400*li4half^2 + 3763200*li4half*ln2^4 + 78400*ln2^8 - 
    31852800*ln2^2*s6 + 63705600*ln2*s7a + 63705600*ln2*s7b - 38847375*s8a - 
    28324800*s8b - 63705600*s8c + 63705600*s8d - 33868800*li6half*z2 - 
    33868800*li5half*ln2*z2 - 39513600*li4half*ln2^2*z2 - 1411200*ln2^6*z2 - 
    108360000*s6*z2 - 25079040*li4half*z2^2 + 3894240*ln2^4*z2^2 + 
    19010880*ln2^2*z2^3 - 17384352*z2^4 - 107654400*li5half*z3 + 
    98784000*li4half*ln2*z3 + 5013120*ln2^5*z3 - 38606400*ln2^3*z2*z3 - 
    64547280*ln2*z2^2*z3 + 83034000*ln2^2*z3^2 + 31815000*z2*z3^2 - 
    32930100*ln2*z2*z5 + 140600250*z3*z5 + 500653125*ln2*z7)/5644800, 
 H[0, 1, 0, -1, -1, 1, 1, 1, 1] -> 
  (-225792000*li4half^2 - 903168000*li8half - 9408000*li4half*ln2^4 - 
    22400*ln2^8 + 41328000*ln2^2*s6 - 134122275*s8a - 651672000*s8b - 
    82656000*s8c - 44352000*s8d + 790272000*li6half*z2 + 
    56448000*li4half*ln2^2*z2 + 1724800*ln2^6*z2 + 307440000*s6*z2 + 
    91324800*li4half*z2^2 + 1982400*ln2^4*z2^2 - 67737600*ln2^2*z2^3 - 
    46242864*z2^4 + 258048000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    8736000*ln2^5*z3 + 62076000*ln2^3*z2*z3 + 223738200*ln2*z2^2*z3 - 
    87160500*ln2^2*z3^2 + 35752500*z2*z3^2 + 247968000*ln2*z2*z5 - 
    279412875*z3*z5)/56448000, H[0, 1, 0, -1, -1, 1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    4032000*ln2^2*s6 + 18281025*s8a - 42840000*s8b - 8064000*s8c + 
    8064000*s8d - 225792000*li6half*z2 + 56448000*li4half*ln2^2*z2 + 
    2038400*ln2^6*z2 - 51408000*s6*z2 + 107452800*li4half*z2^2 - 
    1402800*ln2^4*z2^2 + 10080000*ln2^2*z2^3 - 4643676*z2^4 - 
    467712000*li5half*z3 - 211680000*li4half*ln2*z3 - 4922400*ln2^5*z3 + 
    22176000*ln2^3*z2*z3 - 74428200*ln2*z2^2*z3 - 5040000*ln2^2*z3^2 + 
    19719000*z2*z3^2 + 24192000*ln2*z2*z5 + 486635625*z3*z5)/28224000, 
 H[0, 1, 0, -1, -1, 1, 1, -1, 1] -> (-6451200*li8half - 6451200*li7half*ln2 - 
    268800*li4half*ln2^4 - 10080*ln2^8 - 1468800*ln2^2*s6 - 345600*ln2*s7a - 
    3974400*ln2*s7b + 4474575*s8a + 14011200*s8b + 3628800*s8c + 403200*s8d + 
    806400*li6half*z2 + 9676800*li5half*ln2*z2 + 1612800*li4half*ln2^2*z2 + 
    32480*ln2^6*z2 - 3427200*s6*z2 + 887040*li4half*z2^2 + 
    144480*ln2^4*z2^2 + 1261440*ln2^2*z2^3 + 445608*z2^4 - 
    7257600*li5half*z3 - 5644800*li4half*ln2*z3 - 221760*ln2^5*z3 + 
    806400*ln2^3*z2*z3 - 1178280*ln2*z2^2*z3 - 589500*ln2^2*z3^2 - 
    3061800*z2*z3^2 + 3515400*ln2^3*z5 - 2311200*ln2*z2*z5 + 10648575*z3*z5 - 
    25013475*ln2*z7)/1612800, H[0, 1, 0, -1, -1, 1, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    907200*ln2^2*s6 + 2405025*s8a - 12852000*s8b + 1814400*s8c - 
    1814400*s8d - 11289600*li6half*z2 - 4233600*li4half*ln2^2*z2 - 
    192080*ln2^6*z2 + 5392800*s6*z2 - 13063680*li4half*z2^2 - 
    132720*ln2^4*z2^2 + 4117680*ln2^2*z2^3 + 2953914*z2^4 + 
    3628800*li5half*z3 + 21168000*li4half*ln2*z3 + 851760*ln2^5*z3 - 
    4166400*ln2^3*z2*z3 - 9654120*ln2*z2^2*z3 + 6844950*ln2^2*z3^2 - 
    3422475*z2*z3^2 - 5443200*ln2*z2*z5 + 16022475*z3*z5)/1411200, 
 H[0, 1, 0, -1, -1, 1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    18144000*ln2^2*s6 - 14400225*s8a + 67536000*s8b + 36288000*s8c - 
    36288000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    23184000*s6*z2 - 50299200*li4half*z2^2 + 1432200*ln2^4*z2^2 + 
    16203600*ln2^2*z2^3 + 44557284*z2^4 + 185472000*li5half*z3 + 
    141120000*li4half*ln2*z3 + 4334400*ln2^5*z3 - 19824000*ln2^3*z2*z3 - 
    22944600*ln2*z2^2*z3 + 13419000*ln2^2*z3^2 + 14238000*z2*z3^2 - 
    108864000*ln2*z2*z5 - 321040125*z3*z5)/14112000, 
 H[0, 1, 0, -1, -1, 1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    4032000*ln2^2*s6 + 19152000*ln2*s7a + 47376000*ln2*s7b - 63092925*s8a - 
    357336000*s8b - 30240000*s8c - 54432000*s8d - 282240000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 49392000*li4half*ln2^2*z2 - 1744400*ln2^6*z2 + 
    19782000*s6*z2 - 107553600*li4half*z2^2 - 365400*ln2^4*z2^2 + 
    30989700*ln2^2*z2^3 + 62892672*z2^4 + 165312000*li5half*z3 + 
    190512000*li4half*ln2*z3 + 6560400*ln2^5*z3 - 31794000*ln2^3*z2*z3 - 
    6539400*ln2*z2^2*z3 + 35910000*ln2^2*z3^2 + 87396750*z2*z3^2 - 
    27342000*ln2^3*z5 - 23695875*ln2*z2*z5 - 186172875*z3*z5 + 
    342082125*ln2*z7)/7056000, H[0, 1, 0, -1, -1, 1, -1, 1, 1] -> 
  (-127008000*li4half^2 + 1580544000*li8half - 56448000*li6half*ln2^2 - 
    15288000*li4half*ln2^4 - 455700*ln2^8 - 147672000*ln2^2*s6 + 
    594469575*s8a + 3989664000*s8b + 203616000*s8c + 664272000*s8d - 
    338688000*li6half*z2 - 296352000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 + 1783600*ln2^6*z2 - 1780128000*s6*z2 + 
    178718400*li4half*z2^2 - 10516800*ln2^4*z2^2 + 31701600*ln2^2*z2^3 - 
    230680368*z2^4 - 1007496000*li5half*z3 - 28224000*li4half*ln2*z3 + 
    6396600*ln2^5*z3 - 59262000*ln2^3*z2*z3 - 521425800*ln2*z2^2*z3 + 
    109730250*ln2^2*z3^2 - 378173250*z2*z3^2 - 308542500*ln2*z2*z5 + 
    1309817250*z3*z5)/28224000, H[0, 1, 0, -1, -1, 1, -1, 0, 1] -> 
  (33868800*li4half^2 + 2822400*li4half*ln2^4 + 58800*ln2^8 - 
    15724800*ln2^2*s6 + 5966100*s8a + 12902400*s8b + 31449600*s8c - 
    31449600*s8d + 28224000*li6half*z2 - 19756800*li4half*ln2^2*z2 - 
    784000*ln2^6*z2 + 63957600*s6*z2 - 29433600*li4half*z2^2 + 
    1008000*ln2^4*z2^2 + 3323880*ln2^2*z2^3 + 20875356*z2^4 + 
    27619200*li5half*z3 + 40924800*li4half*ln2*z3 + 1475040*ln2^5*z3 - 
    8752800*ln2^3*z2*z3 - 24118920*ln2*z2^2*z3 + 516600*ln2^2*z3^2 - 
    15042825*z2*z3^2 - 94348800*ln2*z2*z5 - 69542550*z3*z5)/2822400, 
 H[0, 1, 0, -1, -1, 1, -1, -1, 1] -> 
  (141120000*li4half^2 - 338688000*li8half + 37632000*li7half*ln2 + 
    18816000*li6half*ln2^2 + 13328000*li4half*ln2^4 + 320600*ln2^8 + 
    32088000*ln2^2*s6 + 40992000*ln2*s7a + 45696000*ln2*s7b - 205042425*s8a - 
    1222032000*s8b - 115584000*s8c - 152544000*s8d - 183456000*li6half*z2 - 
    42336000*li5half*ln2*z2 - 58800000*li4half*ln2^2*z2 - 2744000*ln2^6*z2 + 
    365064000*s6*z2 - 151166400*li4half*z2^2 + 4755800*ln2^4*z2^2 + 
    24402000*ln2^2*z2^3 + 91168872*z2^4 + 341544000*li5half*z3 + 
    231672000*li4half*ln2*z3 + 7081200*ln2^5*z3 - 33866000*ln2^3*z2*z3 + 
    90589800*ln2*z2^2*z3 + 64590750*ln2^2*z3^2 + 165002250*z2*z3^2 - 
    4557000*ln2^3*z5 + 150853500*ln2*z2*z5 - 356275500*z3*z5 + 
    322061250*ln2*z7)/9408000, H[0, 1, 0, -1, -1, 0, 1, 1, 1] -> 
  (288000*li4half^2 + 24000*li4half*ln2^4 + 500*ln2^8 - 7425*s8a - 
    144000*li4half*ln2^2*z2 - 6000*ln2^6*z2 - 72000*li4half*z2^2 + 
    15000*ln2^4*z2^2 + 18000*ln2^2*z2^3 + 14337*z2^4 - 576000*li5half*z3 - 
    72000*li4half*ln2*z3 + 1800*ln2^5*z3 - 30000*ln2^3*z2*z3 - 
    63000*ln2*z2^2*z3 - 31500*ln2^2*z3^2 + 34875*z2*z3^2 + 336375*z3*z5)/
   144000, H[0, 1, 0, -1, -1, 0, 1, 0, 1] -> 
  (-230400*li4half^2 - 19200*li4half*ln2^4 - 400*ln2^8 + 
    115200*li4half*ln2^2*z2 + 4800*ln2^6*z2 + 146880*li4half*z2^2 - 
    8280*ln2^4*z2^2 - 36720*ln2^2*z2^3 - 29289*z2^4 + 230400*li5half*z3 - 
    172800*li4half*ln2*z3 - 9120*ln2^5*z3 + 62400*ln2^3*z2*z3 + 
    128520*ln2*z2^2*z3 - 75600*ln2^2*z3^2 - 1800*z2*z3^2 - 185400*z3*z5)/
   28800, H[0, 1, 0, -1, -1, 0, 1, -1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    42336000*ln2^2*s6 - 10080000*ln2*s7a - 10080000*ln2*s7b - 36810900*s8a + 
    17136000*s8b - 64512000*s8c + 64512000*s8d - 84672000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1881600*ln2^6*z2 - 114912000*s6*z2 + 
    192124800*li4half*z2^2 + 8005200*ln2^4*z2^2 - 48182400*ln2^2*z2^3 - 
    58761684*z2^4 - 72576000*li5half*z3 - 289296000*li4half*ln2*z3 - 
    11449200*ln2^5*z3 + 29232000*ln2^3*z2*z3 + 108662400*ln2*z2^2*z3 - 
    43659000*ln2^2*z3^2 + 46013625*z2*z3^2 + 308810250*ln2*z2*z5 + 
    29043000*z3*z5 - 38319750*ln2*z7)/14112000, 
 H[0, 1, 0, -1, -1, 0, 0, 1, 1] -> (-50925*s8a + 1176000*li4half*z2^2 + 
    49000*ln2^4*z2^2 - 294000*ln2^2*z2^3 - 269508*z2^4 - 2688000*li5half*z3 - 
    2688000*li4half*ln2*z3 - 89600*ln2^5*z3 + 448000*ln2^3*z2*z3 + 
    1029000*ln2*z2^2*z3 - 1176000*ln2^2*z3^2 - 157500*z2*z3^2 + 
    1908375*z3*z5)/672000, H[0, 1, 0, -1, -1, 0, 0, 0, 1] -> 
  (174825*s8a + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 58800*ln2^2*z2^3 - 
    137708*z2^4 + 205800*ln2*z2^2*z3 - 168000*z2*z3^2 + 391125*z3*z5)/168000, 
 H[0, 1, 0, -1, -1, 0, 0, -1, 1] -> 
  (672000*ln2^2*s6 - 1344000*ln2*s7a - 1344000*ln2*s7b + 975975*s8a + 
    840000*s8b + 1344000*s8c - 1344000*s8d + 2184000*s6*z2 - 
    100800*li4half*z2^2 - 4200*ln2^4*z2^2 - 243600*ln2^2*z2^3 + 559911*z2^4 + 
    1680000*li5half*z3 - 1008000*li4half*ln2*z3 - 56000*ln2^5*z3 + 
    392000*ln2^3*z2*z3 + 810600*ln2*z2^2*z3 - 1281000*ln2^2*z3^2 - 
    858375*z2*z3^2 + 892500*ln2*z2*z5 - 1711500*z3*z5 - 11043375*ln2*z7)/
   336000, H[0, 1, 0, -1, -1, 0, -1, 1, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 - 
    74592000*ln2^2*s6 + 32621400*s8a - 66528000*s8b + 149184000*s8c - 
    149184000*s8d + 169344000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 + 270144000*s6*z2 - 195652800*li4half*z2^2 - 
    18736200*ln2^4*z2^2 + 45183600*ln2^2*z2^3 + 107779464*z2^4 + 
    114912000*li5half*z3 + 211680000*li4half*ln2*z3 + 7862400*ln2^5*z3 + 
    30744000*ln2^3*z2*z3 - 38820600*ln2*z2^2*z3 - 85806000*ln2^2*z3^2 - 
    62496000*z2*z3^2 - 618880500*ln2*z2*z5 - 250921125*z3*z5)/28224000, 
 H[0, 1, 0, -1, -1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 3266550*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 5544000*li4half*z2^2 - 
    273000*ln2^4*z2^2 - 1386000*ln2^2*z2^3 - 2703567*z2^4 + 
    6048000*li5half*z3 - 8064000*li4half*ln2*z3 - 386400*ln2^5*z3 + 
    2520000*ln2^3*z2*z3 + 4851000*ln2*z2^2*z3 - 3528000*ln2^2*z3^2 - 
    1590750*z2*z3^2 + 4638375*z3*z5)/1008000, 
 H[0, 1, 0, -1, -1, 0, -1, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    4972800*ln2^2*s6 - 9945600*ln2*s7a - 9945600*ln2*s7b + 6903750*s8a + 
    3561600*s8b + 9945600*s8c - 9945600*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 + 9307200*s6*z2 + 7042560*li4half*z2^2 - 
    412160*ln2^4*z2^2 - 3749760*ln2^2*z2^3 + 1624212*z2^4 + 
    18950400*li5half*z3 - 20697600*li4half*ln2*z3 - 1020320*ln2^5*z3 + 
    6753600*ln2^3*z2*z3 + 12813360*ln2*z2^2*z3 - 15271200*ln2^2*z3^2 - 
    1468950*z2*z3^2 + 19884900*ln2*z2*z5 - 25673025*z3*z5 - 76453650*ln2*z7)/
   1881600, H[0, 1, 0, -1, -1, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 - 1354752000*li8half - 37632000*li5half*ln2^3 - 
    16464000*li4half*ln2^4 - 259000*ln2^8 - 27216000*ln2^2*s6 - 
    176341725*s8a - 2283624000*s8b + 54432000*s8c - 491904000*s8d + 
    564480000*li6half*z2 + 112896000*li5half*ln2*z2 + 1343664000*s6*z2 - 
    61689600*li4half*z2^2 + 15010800*ln2^4*z2^2 - 3931200*ln2^2*z2^3 + 
    131234904*z2^4 + 842688000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    7492800*ln2^5*z3 + 8484000*ln2^3*z2*z3 + 241605000*ln2*z2^2*z3 - 
    94090500*ln2^2*z3^2 - 12820500*z2*z3^2 + 18228000*ln2^3*z5 - 
    217980000*ln2*z2*z5 - 561574125*z3*z5)/56448000, 
 H[0, 1, 0, -1, -1, -1, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    60480000*ln2^2*s6 - 51110325*s8a + 3024000*s8b - 120960000*s8c + 
    120960000*s8d - 56448000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1920800*ln2^6*z2 - 234864000*s6*z2 + 
    144144000*li4half*z2^2 + 1302000*ln2^4*z2^2 - 28904400*ln2^2*z2^3 - 
    75376422*z2^4 - 241920000*li5half*z3 - 239904000*li4half*ln2*z3 - 
    7980000*ln2^5*z3 + 35700000*ln2^3*z2*z3 + 98091000*ln2*z2^2*z3 - 
    23121000*ln2^2*z3^2 + 77269500*z2*z3^2 + 376551000*ln2*z2*z5 + 
    228099375*z3*z5)/14112000, H[0, 1, 0, -1, -1, -1, 1, -1, 1] -> 
  (-22579200*li4half^2 + 70963200*li8half + 6451200*li7half*ln2 + 
    1075200*li5half*ln2^3 - 1612800*li4half*ln2^4 - 36480*ln2^8 - 
    2563200*ln2^2*s6 - 4492800*ln2*s7a - 9734400*ln2*s7b + 27375075*s8a + 
    188395200*s8b + 14112000*s8c + 24595200*s8d + 13708800*li6half*z2 + 
    6451200*li5half*ln2*z2 + 13708800*li4half*ln2^2*z2 + 536480*ln2^6*z2 - 
    62697600*s6*z2 + 24675840*li4half*z2^2 - 1293600*ln2^4*z2^2 - 
    4908960*ln2^2*z2^3 - 13472856*z2^4 - 54028800*li5half*z3 - 
    44553600*li4half*ln2*z3 - 1359120*ln2^5*z3 + 8803200*ln2^3*z2*z3 - 
    7067160*ln2*z2^2*z3 - 12539700*ln2^2*z3^2 - 19366200*z2*z3^2 + 
    4557000*ln2^3*z5 - 9973800*ln2*z2*z5 + 43062075*z3*z5 - 72888525*ln2*z7)/
   1612800, H[0, 1, 0, -1, -1, -1, 0, 1, 1] -> 
  (576000*li4half^2 + 48000*li4half*ln2^4 + 1000*ln2^8 - 130725*s8a - 
    1152000*li6half*z2 - 1152000*li5half*ln2*z2 - 864000*li4half*ln2^2*z2 - 
    28000*ln2^6*z2 - 288000*s6*z2 - 792000*li4half*z2^2 + 75000*ln2^4*z2^2 + 
    198000*ln2^2*z2^3 + 430824*z2^4 + 720000*li5half*z3 + 
    1728000*li4half*ln2*z3 + 66000*ln2^5*z3 - 540000*ln2^3*z2*z3 - 
    693000*ln2*z2^2*z3 + 756000*ln2^2*z3^2 + 292500*z2*z3^2 + 
    558000*ln2*z2*z5 - 1002375*z3*z5)/288000, 
 H[0, 1, 0, -1, -1, -1, 0, 0, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 - 165375*s8a - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 2116800*li4half*z2^2 + 
    12600*ln2^4*z2^2 + 529200*ln2^2*z2^3 + 561144*z2^4 - 1209600*li5half*z3 + 
    1612800*li4half*ln2*z3 + 77280*ln2^5*z3 - 504000*ln2^3*z2*z3 - 
    1852200*ln2*z2^2*z3 + 705600*ln2^2*z3^2 + 119700*z2*z3^2 + 1245825*z3*z5)/
   403200, H[0, 1, 0, -1, -1, -1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    2419200*ln2^2*s6 + 4838400*ln2*s7a + 4838400*ln2*s7b - 2691675*s8a - 
    705600*s8b - 4838400*s8c + 4838400*s8d - 1612800*li6half*z2 - 
    1612800*li5half*ln2*z2 - 4838400*li4half*ln2^2*z2 - 190400*ln2^6*z2 - 
    7056000*s6*z2 - 5644800*li4half*z2^2 + 369600*ln2^4*z2^2 + 
    2378880*ln2^2*z2^3 - 477048*z2^4 - 8870400*li5half*z3 + 
    14918400*li4half*ln2*z3 + 695520*ln2^5*z3 - 4704000*ln2^3*z2*z3 - 
    8174880*ln2*z2^2*z3 + 9550800*ln2^2*z3^2 + 1489950*z2*z3^2 - 
    4775400*ln2*z2*z5 + 12188925*z3*z5 + 35155575*ln2*z7)/806400, 
 H[0, 1, 0, -1, -1, -1, -1, 1, 1] -> 
  (18144000*li4half^2 - 64512000*li8half + 8064000*li6half*ln2^2 + 
    2688000*li5half*ln2^3 + 2184000*li4half*ln2^4 + 46700*ln2^8 + 
    1008000*ln2^2*s6 - 11391975*s8a - 121968000*s8b + 2016000*s8c - 
    25200000*s8d + 6048000*li5half*ln2*z2 - 6048000*li4half*ln2^2*z2 - 
    369600*ln2^6*z2 + 57960000*s6*z2 - 20361600*li4half*z2^2 + 
    382200*ln2^4*z2^2 + 4784400*ln2^2*z2^3 + 13733784*z2^4 + 
    41832000*li5half*z3 + 28224000*li4half*ln2*z3 + 945000*ln2^5*z3 - 
    4200000*ln2^3*z2*z3 + 2570400*ln2*z2^2*z3 + 3370500*ln2^2*z3^2 + 
    6457500*z2*z3^2 - 1302000*ln2^3*z5 - 11151000*ln2*z2*z5 - 33445125*z3*z5)/
   4032000, H[0, 1, 0, -1, -1, -1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 332325*s8a + 
    4032000*li6half*z2 + 4032000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 
    224000*ln2^6*z2 + 1008000*s6*z2 + 5140800*li4half*z2^2 - 
    541800*ln2^4*z2^2 - 1285200*ln2^2*z2^3 - 1726758*z2^4 + 
    6048000*li5half*z3 - 8064000*li4half*ln2*z3 - 386400*ln2^5*z3 + 
    3108000*ln2^3*z2*z3 + 4498200*ln2*z2^2*z3 - 3528000*ln2^2*z3^2 - 
    614250*z2*z3^2 - 1953000*ln2*z2*z5 - 4433625*z3*z5)/2016000, 
 H[0, 1, 0, -1, -1, -1, -1, -1, 1] -> 
  (3024000*li4half^2 - 8064000*li8half - 8064000*li7half*ln2 - 
    4032000*li6half*ln2^2 - 1344000*li5half*ln2^3 - 84000*li4half*ln2^4 - 
    1750*ln2^8 - 1008000*ln2^2*s6 + 2016000*ln2*s7a + 4032000*ln2*s7b - 
    3167325*s8a - 12096000*s8b - 4032000*s8c + 2016000*s8d - 
    3024000*li6half*z2 - 3024000*li5half*ln2*z2 - 3024000*li4half*ln2^2*z2 - 
    77000*ln2^6*z2 - 3024000*s6*z2 - 2167200*li4half*z2^2 + 
    287700*ln2^4*z2^2 + 945000*ln2^2*z2^3 + 46548*z2^4 - 2268000*li5half*z3 + 
    7056000*li4half*ln2*z3 + 254100*ln2^5*z3 - 2394000*ln2^3*z2*z3 - 
    2727900*ln2*z2^2*z3 + 4347000*ln2^2*z3^2 + 2701125*z2*z3^2 - 
    1302000*ln2^3*z5 + 189000*ln2*z2*z5 + 5922000*z3*z5 + 34098750*ln2*z7)/
   2016000, H[0, 1, -1, 1, 1, 1, 1, 1, 1] -> 
  (-141120000*li8half - 3500*ln2^8 + 3360000*ln2^2*s6 - 3785775*s8a + 
    31920000*s8b - 6720000*s8c + 13776000*s8d + 56448000*li6half*z2 + 
    58800*ln2^6*z2 - 31080000*s6*z2 + 14044800*li4half*z2^2 + 
    144200*ln2^4*z2^2 - 2738400*ln2^2*z2^3 - 5445444*z2^4 + 
    10080000*li5half*z3 - 84000*ln2^5*z3 + 840000*ln2^3*z2*z3 + 
    7434000*ln2*z2^2*z3 + 945000*ln2^2*z3^2 + 2541000*z2*z3^2 + 
    20160000*ln2*z2*z5 + 7867125*z3*z5)/9408000, 
 H[0, 1, -1, 1, 1, 1, 1, 0, 1] -> (564480000*li8half + 14000*ln2^8 - 
    26208000*ln2^2*s6 + 48505275*s8a + 287280000*s8b + 52416000*s8c - 
    3024000*s8d - 84672000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    156800*ln2^6*z2 - 32760000*s6*z2 - 42940800*li4half*z2^2 - 
    4288200*ln2^4*z2^2 + 6199200*ln2^2*z2^3 + 17466084*z2^4 - 
    247968000*li5half*z3 + 2066400*ln2^5*z3 + 504000*ln2^3*z2*z3 - 
    98204400*ln2*z2^2*z3 - 7371000*ln2^2*z3^2 + 21105000*z2*z3^2 - 
    114912000*ln2*z2*z5 - 99311625*z3*z5)/28224000, 
 H[0, 1, -1, 1, 1, 1, 1, -1, 1] -> (169344000*li4half^2 + 564480000*li8half - 
    56448000*li7half*ln2 + 14112000*li4half*ln2^4 + 319200*ln2^8 - 
    20160000*ln2^2*s6 + 70560000*ln2*s7a + 70560000*ln2*s7b - 107512650*s8a + 
    97776000*s8b - 100800000*s8c + 30240000*s8d + 141120000*li6half*z2 + 
    423360000*li5half*ln2*z2 + 127008000*li4half*ln2^2*z2 + 
    1920800*ln2^6*z2 - 25200000*s6*z2 - 119548800*li4half*z2^2 - 
    19269600*ln2^4*z2^2 + 40320000*ln2^2*z2^3 + 1642896*z2^4 - 
    342720000*li5half*z3 + 148176000*li4half*ln2*z3 + 9030000*ln2^5*z3 - 
    3864000*ln2^3*z2*z3 - 76708800*ln2*z2^2*z3 + 102375000*ln2^2*z3^2 + 
    190260000*z2*z3^2 + 95130000*ln2*z2*z5 - 450938250*z3*z5 - 
    382843125*ln2*z7)/56448000, H[0, 1, -1, 1, 1, 1, 0, 1, 1] -> 
  (201600*li4half^2 + 16800*li4half*ln2^4 + 350*ln2^8 - 134400*ln2^2*s6 + 
    300825*s8a - 3376800*s8b + 268800*s8c - 873600*s8d - 1209600*li6half*z2 + 
    806400*li5half*ln2*z2 + 100800*li4half*ln2^2*z2 - 4200*ln2^6*z2 + 
    2352000*s6*z2 - 131040*li4half*z2^2 + 40740*ln2^4*z2^2 + 
    147000*ln2^2*z2^3 + 115356*z2^4 + 1209600*li5half*z3 - 10080*ln2^5*z3 - 
    100800*ln2^3*z2*z3 + 85680*ln2*z2^2*z3 - 37800*ln2^2*z3^2 - 
    722400*z2*z3^2 - 1612800*ln2*z2*z5 + 1708875*z3*z5)/134400, 
 H[0, 1, -1, 1, 1, 1, 0, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    16128000*ln2^2*s6 + 41282325*s8a + 343350000*s8b + 32256000*s8c + 
    38304000*s8d - 28224000*li6half*z2 - 21168000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 431200*ln2^6*z2 - 124236000*s6*z2 + 
    47350800*li4half*z2^2 - 2731050*ln2^4*z2^2 - 1732500*ln2^2*z2^3 - 
    1836288*z2^4 - 34272000*li5half*z3 + 285600*ln2^5*z3 + 
    2436000*ln2^3*z2*z3 - 37623600*ln2*z2^2*z3 - 4536000*ln2^2*z3^2 - 
    21766500*z2*z3^2 - 85853250*ln2*z2*z5 + 3559500*z3*z5)/7056000, 
 H[0, 1, -1, 1, 1, 1, 0, -1, 1] -> 
  (-536256000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 - 
    44688000*li4half*ln2^4 - 1065400*ln2^8 - 677376000*ln2^2*s6 - 
    86688000*ln2*s7a - 312480000*ln2*s7b + 2217959100*s8a + 14495040000*s8b + 
    1528128000*s8c + 1153152000*s8d - 959616000*li6half*z2 - 
    338688000*li5half*ln2*z2 + 183456000*li4half*ln2^2*z2 + 
    10388000*ln2^6*z2 - 3893904000*s6*z2 + 680803200*li4half*z2^2 - 
    24200400*ln2^4*z2^2 - 63352800*ln2^2*z2^3 - 542957904*z2^4 - 
    2080512000*li5half*z3 - 790272000*li4half*ln2*z3 - 15590400*ln2^5*z3 - 
    51660000*ln2^3*z2*z3 - 1283662800*ln2*z2^2*z3 - 323253000*ln2^2*z3^2 - 
    1621494000*z2*z3^2 + 218736000*ln2^3*z5 - 3730860000*ln2*z2*z5 + 
    989635500*z3*z5 - 2563556625*ln2*z7)/56448000, 
 H[0, 1, -1, 1, 1, 1, -1, 1, 1] -> (-42336000*li4half^2 + 131712000*li8half - 
    2352000*li6half*ln2^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 - 
    20664000*ln2^2*s6 + 49775775*s8a + 184128000*s8b + 29568000*s8c + 
    5712000*s8d - 54096000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 411600*ln2^6*z2 - 46704000*s6*z2 + 
    25838400*li4half*z2^2 + 4781000*ln2^4*z2^2 - 4678800*ln2^2*z2^3 - 
    10225476*z2^4 + 37968000*li5half*z3 - 316400*ln2^5*z3 - 
    9184000*ln2^3*z2*z3 - 10071600*ln2*z2^2*z3 - 3753750*ln2^2*z3^2 - 
    40955250*z2*z3^2 - 32256000*ln2*z2*z5 + 30163875*z3*z5)/4704000, 
 H[0, 1, -1, 1, 1, 1, -1, 0, 1] -> (59976000*li4half^2 - 169344000*li8half + 
    4998000*li4half*ln2^4 + 99925*ln2^8 + 5796000*ln2^2*s6 - 29424150*s8a - 
    57834000*s8b - 11592000*s8c + 4536000*s8d + 38808000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 1764000*li4half*ln2^2*z2 - 107800*ln2^6*z2 + 
    3276000*s6*z2 - 29257200*li4half*z2^2 - 2115750*ln2^4*z2^2 + 
    10905300*ln2^2*z2^3 + 18751311*z2^4 - 51408000*li5half*z3 + 
    428400*ln2^5*z3 + 4315500*ln2^3*z2*z3 - 12776400*ln2*z2^2*z3 + 
    1630125*ln2^2*z3^2 + 25176375*z2*z3^2 - 16821000*ln2*z2*z5 - 
    3535875*z3*z5)/7056000, H[0, 1, -1, 1, 1, 1, -1, -1, 1] -> 
  (-169344000*li4half^2 - 620928000*li8half + 169344000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 14112000*li4half*ln2^4 - 303800*ln2^8 + 
    304416000*ln2^2*s6 - 175392000*ln2*s7a - 147168000*ln2*s7b - 
    315749700*s8a - 1984752000*s8b - 116928000*s8c - 278208000*s8d + 
    84672000*li5half*ln2*z2 + 211680000*li4half*ln2^2*z2 + 7369600*ln2^6*z2 + 
    852768000*s6*z2 + 92534400*li4half*z2^2 - 27661200*ln2^4*z2^2 - 
    101001600*ln2^2*z2^3 + 64869048*z2^4 + 528192000*li5half*z3 - 
    444528000*li4half*ln2*z3 - 22923600*ln2^5*z3 + 153384000*ln2^3*z2*z3 + 
    447552000*ln2*z2^2*z3 - 207648000*ln2^2*z3^2 + 144585000*z2*z3^2 - 
    27342000*ln2^3*z5 + 361494000*ln2*z2*z5 - 453379500*z3*z5 - 
    494101125*ln2*z7)/56448000, H[0, 1, -1, 1, 1, 0, 1, 1, 1] -> 
  (-10584000*li4half^2 - 882000*li4half*ln2^4 - 18375*ln2^8 + 
    5964000*ln2^2*s6 - 20673450*s8a - 105630000*s8b - 11928000*s8c - 
    12768000*s8d - 28224000*li6half*z2 - 21168000*li5half*ln2*z2 - 
    5292000*li4half*ln2^2*z2 - 83300*ln2^6*z2 + 27300000*s6*z2 + 
    3620400*li4half*z2^2 + 959350*ln2^4*z2^2 - 3567900*ln2^2*z2^3 + 
    6543903*z2^4 + 16128000*li5half*z3 - 134400*ln2^5*z3 + 
    1564500*ln2^3*z2*z3 + 12776400*ln2*z2^2*z3 + 1677375*ln2^2*z3^2 + 
    27431250*z2*z3^2 + 56952000*ln2*z2*z5 - 59674125*z3*z5)/2352000, 
 H[0, 1, -1, 1, 1, 0, 1, 0, 1] -> (2822400*li4half^2 + 235200*li4half*ln2^4 + 
    4900*ln2^8 + 1545600*ln2^2*s6 - 2154600*s8a - 898800*s8b - 3091200*s8c + 
    3091200*s8d + 5644800*li6half*z2 + 2822400*li5half*ln2*z2 - 
    1411200*li4half*ln2^2*z2 - 74480*ln2^6*z2 - 4183200*s6*z2 - 
    546000*li4half*z2^2 + 271250*ln2^4*z2^2 - 166740*ln2^2*z2^3 - 
    2408624*z2^4 - 537600*li5half*z3 + 4480*ln2^5*z3 - 750400*ln2^3*z2*z3 + 
    3205020*ln2*z2^2*z3 + 434700*ln2^2*z3^2 - 562800*z2*z3^2 + 
    8468775*ln2*z2*z5 + 4661475*z3*z5)/470400, 
 H[0, 1, -1, 1, 1, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 - 9031680000*li8half - 1806336000*li7half*ln2 - 
    2352000*li4half*ln2^4 + 85400*ln2^8 + 1472352000*ln2^2*s6 - 
    413280000*ln2*s7a + 320544000*ln2*s7b - 3108239400*s8a - 
    19729248000*s8b - 2118144000*s8c - 1804992000*s8d + 
    423360000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 313600*ln2^6*z2 + 5759712000*s6*z2 - 
    344534400*li4half*z2^2 + 8223600*ln2^4*z2^2 - 318192000*ln2^2*z2^3 + 
    527625576*z2^4 + 3685248000*li5half*z3 - 30710400*ln2^5*z3 + 
    342384000*ln2^3*z2*z3 + 2484064800*ln2*z2^2*z3 - 218736000*ln2^2*z3^2 + 
    2230116000*z2*z3^2 - 710892000*ln2^3*z5 + 5425623000*ln2*z2*z5 - 
    2626533000*z3*z5 + 3277960875*ln2*z7)/18816000, 
 H[0, 1, -1, 1, 1, 0, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    43008000*ln2^2*s6 + 137939025*s8a + 641592000*s8b + 86016000*s8c + 
    55104000*s8d + 112896000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 509600*ln2^6*z2 - 187824000*s6*z2 - 
    8265600*li4half*z2^2 - 5636400*ln2^4*z2^2 + 20781600*ln2^2*z2^3 - 
    18058196*z2^4 - 185472000*li5half*z3 + 1545600*ln2^5*z3 - 
    8400000*ln2^3*z2*z3 - 108120600*ln2*z2^2*z3 - 12096000*ln2^2*z3^2 - 
    101997000*z2*z3^2 - 285610500*ln2*z2*z5 + 267164625*z3*z5)/9408000, 
 H[0, 1, -1, 1, 1, 0, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    40320000*ln2^2*s6 - 147730275*s8a - 738864000*s8b - 80640000*s8c - 
    88704000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    283248000*s6*z2 - 11390400*li4half*z2^2 - 4002600*ln2^4*z2^2 - 
    16153200*ln2^2*z2^3 + 34679016*z2^4 + 233856000*li5half*z3 - 
    1948800*ln2^5*z3 + 19488000*ln2^3*z2*z3 + 109405800*ln2*z2^2*z3 + 
    11340000*ln2^2*z3^2 + 79663500*z2*z3^2 + 222736500*ln2*z2*z5 - 
    387552375*z3*z5)/14112000, H[0, 1, -1, 1, 1, 0, 0, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 - 
    118944000*ln2^2*s6 + 46368000*ln2*s7a - 32659200*ln2*s7b + 
    198046800*s8a + 1052654400*s8b + 145152000*s8c + 108864000*s8d + 
    16934400*li6half*z2 - 16934400*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 423360*ln2^6*z2 - 337680000*s6*z2 + 
    21631680*li4half*z2^2 + 3018120*ln2^4*z2^2 + 44407440*ln2^2*z2^3 + 
    4664136*z2^4 - 231840000*li5half*z3 + 19756800*li4half*ln2*z3 + 
    2755200*ln2^5*z3 - 30962400*ln2^3*z2*z3 - 166037760*ln2*z2^2*z3 + 
    37548000*ln2^2*z3^2 - 154595700*z2*z3^2 + 76557600*ln2^3*z5 - 
    336917700*ln2*z2*z5 + 329524650*z3*z5 - 252017325*ln2*z7)/5644800, 
 H[0, 1, -1, 1, 1, 0, -1, 1, 1] -> 
  (197568000*li4half^2 + 4515840000*li8half - 225792000*li6half*ln2^2 + 
    16464000*li4half*ln2^4 + 141400*ln2^8 - 565824000*ln2^2*s6 + 
    1482354825*s8a + 9544584000*s8b + 1032864000*s8c + 829920000*s8d - 
    451584000*li6half*z2 + 282240000*li5half*ln2*z2 + 
    98784000*li4half*ln2^2*z2 + 2704800*ln2^6*z2 - 2871120000*s6*z2 + 
    50736000*li4half*z2^2 - 37517200*ln2^4*z2^2 + 145706400*ln2^2*z2^3 - 
    196125528*z2^4 - 1930320000*li5half*z3 + 16086000*ln2^5*z3 - 
    137928000*ln2^3*z2*z3 - 1288665000*ln2*z2^2*z3 - 83506500*ln2^2*z3^2 - 
    969937500*z2*z3^2 - 3308949000*ln2*z2*z5 + 1173760875*z3*z5)/18816000, 
 H[0, 1, -1, 1, 1, 0, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    27216000*ln2^2*s6 - 57329475*s8a - 264768000*s8b - 54432000*s8c - 
    2016000*s8d + 28224000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 
    352800*ln2^6*z2 + 52836000*s6*z2 + 11239200*li4half*z2^2 + 
    1056300*ln2^4*z2^2 - 5871600*ln2^2*z2^3 - 12110836*z2^4 + 
    100464000*li5half*z3 - 837200*ln2^5*z3 + 3080000*ln2^3*z2*z3 + 
    66889200*ln2*z2^2*z3 + 7654500*ln2^2*z3^2 + 35017500*z2*z3^2 + 
    140584500*ln2*z2*z5 - 94891125*z3*z5)/4704000, 
 H[0, 1, -1, 1, 1, 0, -1, -1, 1] -> 
  (56448000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 165200*ln2^8 - 
    1053696000*ln2^2*s6 + 461664000*ln2*s7a - 385056000*ln2*s7b + 
    1865788575*s8a + 11482968000*s8b + 1282848000*s8c + 1087968000*s8d - 
    112896000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 2704800*ln2^6*z2 - 3417792000*s6*z2 + 
    168201600*li4half*z2^2 + 16416400*ln2^4*z2^2 + 270664800*ln2^2*z2^3 - 
    275208288*z2^4 - 2135952000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    23973600*ln2^5*z3 - 213276000*ln2^3*z2*z3 - 1441452600*ln2*z2^2*z3 + 
    334939500*ln2^2*z3^2 - 1379469000*z2*z3^2 + 820260000*ln2^3*z5 - 
    2562651000*ln2*z2*z5 + 1834457625*z3*z5 - 3678262875*ln2*z7)/18816000, 
 H[0, 1, -1, 1, 1, -1, 1, 1, 1] -> (508032000*li4half^2 - 564480000*li8half - 
    9408000*li5half*ln2^3 + 42336000*li4half*ln2^4 + 946400*ln2^8 - 
    37296000*ln2^2*s6 + 105293475*s8a + 788760000*s8b + 74592000*s8c + 
    221760000*s8d + 508032000*li6half*z2 + 536256000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 78400*ln2^6*z2 - 380016000*s6*z2 - 
    196963200*li4half*z2^2 - 28963200*ln2^4*z2^2 + 138801600*ln2^2*z2^3 - 
    9559584*z2^4 - 1000944000*li5half*z3 + 8341200*ln2^5*z3 + 
    27720000*ln2^3*z2*z3 - 293668200*ln2*z2^2*z3 - 10489500*ln2^2*z3^2 - 
    6772500*z2*z3^2 - 68355000*ln2^3*z5 - 526743000*ln2*z2*z5 + 
    637111125*z3*z5)/56448000, H[0, 1, -1, 1, 1, -1, 1, 0, 1] -> 
  (-60480*li4half^2 - 5040*li4half*ln2^4 - 105*ln2^8 - 80640*li6half*z2 - 
    107520*li5half*ln2*z2 - 30240*li4half*ln2^2*z2 - 476*ln2^6*z2 - 
    57120*s6*z2 + 15120*li4half*z2^2 + 2170*ln2^4*z2^2 - 4620*ln2^2*z2^3 + 
    2823*z2^4 + 80640*li5half*z3 - 672*ln2^5*z3 - 3360*ln2^3*z2*z3 + 
    19152*ln2*z2^2*z3 + 3780*z2*z3^2 + 106785*ln2*z2*z5 - 6090*z3*z5)/13440, 
 H[0, 1, -1, 1, 1, -1, 1, -1, 1] -> 
  (-282240000*li8half - 169344000*li7half*ln2 + 9408000*li5half*ln2^3 - 
    51800*ln2^8 - 143136000*ln2^2*s6 + 169344000*ln2*s7a + 42336000*ln2*s7b + 
    36993600*s8a - 153216000*s8b - 52416000*s8c + 94752000*s8d - 
    338688000*li6half*z2 - 536256000*li5half*ln2*z2 - 
    254016000*li4half*ln2^2*z2 - 5135200*ln2^6*z2 - 549360000*s6*z2 - 
    40320000*li4half*z2^2 + 17665200*ln2^4*z2^2 - 7005600*ln2^2*z2^3 - 
    41266224*z2^4 + 163296000*li5half*z3 + 444528000*li4half*ln2*z3 + 
    17161200*ln2^5*z3 - 93996000*ln2^3*z2*z3 - 92307600*ln2*z2^2*z3 + 
    219051000*ln2^2*z3^2 + 134127000*z2*z3^2 + 191394000*ln2^3*z5 + 
    816102000*ln2*z2*z5 + 168934500*z3*z5 + 906420375*ln2*z7)/56448000, 
 H[0, 1, -1, 1, 1, -1, 0, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    14448000*ln2^2*s6 + 32278575*s8a + 45528000*s8b - 28896000*s8c + 
    14784000*s8d - 216384000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 
    548800*ln2^6*z2 - 22512000*s6*z2 + 73046400*li4half*z2^2 + 
    7061600*ln2^4*z2^2 - 44788800*ln2^2*z2^3 - 37187688*z2^4 + 
    113904000*li5half*z3 - 949200*ln2^5*z3 + 672000*ln2^3*z2*z3 + 
    67246200*ln2*z2^2*z3 + 4063500*ln2^2*z3^2 - 73657500*z2*z3^2 + 
    144900000*ln2*z2*z5 + 148630125*z3*z5)/18816000, 
 H[0, 1, -1, 1, 1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    15120000*ln2^2*s6 - 162119475*s8a - 928872000*s8b - 30240000*s8c - 
    181440000*s8d + 169344000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    98784000*li4half*ln2^2*z2 + 2940000*ln2^6*z2 + 588672000*s6*z2 + 
    49795200*li4half*z2^2 - 2335200*ln2^4*z2^2 - 56750400*ln2^2*z2^3 + 
    34082604*z2^4 + 285264000*li5half*z3 - 2377200*ln2^5*z3 + 
    39648000*ln2^3*z2*z3 + 222730200*ln2*z2^2*z3 + 4252500*ln2^2*z3^2 + 
    59944500*z2*z3^2 - 158004000*ln2*z2*z5 - 629708625*z3*z5)/28224000, 
 H[0, 1, -1, 1, 1, -1, 0, -1, 1] -> 
  (-225792000*li4half^2 - 2257920000*li8half - 451584000*li7half*ln2 - 
    18816000*li4half*ln2^4 - 358400*ln2^8 + 289632000*ln2^2*s6 - 
    169344000*ln2*s7a - 70560000*ln2*s7b - 567316050*s8a - 4146912000*s8b - 
    240576000*s8c - 577920000*s8d + 169344000*li6half*z2 - 
    37632000*li5half*ln2*z2 + 235200*ln2^6*z2 + 1734432000*s6*z2 + 
    42000000*li4half*z2^2 + 17194800*ln2^4*z2^2 - 88872000*ln2^2*z2^3 + 
    236410392*z2^4 + 1179360000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    18060000*ln2^5*z3 + 94752000*ln2^3*z2*z3 + 653688000*ln2*z2^2*z3 - 
    177849000*ln2^2*z3^2 + 273630000*z2*z3^2 - 95697000*ln2^3*z5 + 
    730989000*ln2*z2*z5 - 883254750*z3*z5 - 402798375*ln2*z7)/18816000, 
 H[0, 1, -1, 1, 1, -1, -1, 1, 1] -> (2419200*li4half^2 - 26611200*li8half + 
    1209600*li6half*ln2^2 + 134400*li5half*ln2^3 + 201600*li4half*ln2^4 + 
    4100*ln2^8 + 7459200*ln2^2*s6 - 15433425*s8a - 84369600*s8b - 
    12499200*s8c - 6652800*s8d + 1209600*li6half*z2 + 
    3628800*li5half*ln2*z2 + 604800*li4half*ln2^2*z2 + 6160*ln2^6*z2 + 
    24091200*s6*z2 - 2419200*li4half*z2^2 + 19320*ln2^4*z2^2 - 
    1609920*ln2^2*z2^3 + 1122732*z2^4 + 9273600*li5half*z3 - 77280*ln2^5*z3 + 
    848400*ln2^3*z2*z3 + 10745280*ln2*z2^2*z3 + 2759400*ln2^2*z3^2 + 
    11018700*z2*z3^2 + 976500*ln2^3*z5 + 30580200*ln2*z2*z5 - 8837325*z3*z5)/
   806400, H[0, 1, -1, 1, 1, -1, -1, 0, 1] -> 
  (33868800*li4half^2 + 45158400*li8half + 2822400*li4half*ln2^4 + 
    59920*ln2^8 + 11491200*ln2^2*s6 - 10431225*s8a + 52718400*s8b - 
    22982400*s8c + 45561600*s8d + 73382400*li6half*z2 + 
    73382400*li5half*ln2*z2 + 16934400*li4half*ln2^2*z2 + 164640*ln2^6*z2 - 
    57254400*s6*z2 - 14878080*li4half*z2^2 - 361200*ln2^4*z2^2 + 
    9233280*ln2^2*z2^3 - 23134536*z2^4 - 86889600*li5half*z3 + 
    724080*ln2^5*z3 - 6182400*ln2^3*z2*z3 - 4457880*ln2*z2^2*z3 + 
    3231900*ln2^2*z3^2 + 15605100*z2*z3^2 + 36666000*ln2*z2*z5 + 
    28518525*z3*z5)/11289600, H[0, 1, -1, 1, 1, -1, -1, -1, 1] -> 
  (-33868800*li4half^2 + 406425600*li8half + 11289600*li7half*ln2 - 
    16934400*li6half*ln2^2 - 1881600*li5half*ln2^3 - 2822400*li4half*ln2^4 - 
    58800*ln2^8 - 96566400*ln2^2*s6 - 8870400*ln2*s7a - 6048000*ln2*s7b + 
    210497175*s8a + 1223812800*s8b + 177004800*s8c + 74188800*s8d + 
    5644800*li6half*z2 - 16934400*li5half*ln2*z2 + 15680*ln2^6*z2 - 
    254217600*s6*z2 + 38263680*li4half*z2^2 + 171360*ln2^4*z2^2 + 
    19383840*ln2^2*z2^3 + 905832*z2^4 - 141321600*li5half*z3 - 
    29635200*li4half*ln2*z3 - 57120*ln2^5*z3 - 7896000*ln2^3*z2*z3 - 
    138506760*ln2*z2^2*z3 - 50003100*ln2^2*z3^2 - 178926300*z2*z3^2 - 
    16405200*ln2^3*z5 - 522333000*ln2*z2*z5 + 91512225*z3*z5 - 
    192457125*ln2*z7)/11289600, H[0, 1, -1, 1, 0, 1, 1, 1, 1] -> 
  (2116800*li4half^2 + 176400*li4half*ln2^4 + 3675*ln2^8 + 168000*ln2^2*s6 - 
    1017450*s8a - 3990000*s8b - 336000*s8c + 336000*s8d + 
    2822400*li5half*ln2*z2 + 1058400*li4half*ln2^2*z2 + 20580*ln2^6*z2 + 
    504000*s6*z2 - 2296560*li4half*z2^2 - 257390*ln2^4*z2^2 + 
    940380*ln2^2*z2^3 + 502338*z2^4 - 4435200*li5half*z3 + 36960*ln2^5*z3 + 
    247800*ln2^3*z2*z3 - 801360*ln2*z2^2*z3 + 47250*ln2^2*z3^2 + 
    854700*z2*z3^2 - 1814400*ln2*z2*z5 + 2878575*z3*z5)/470400, 
 H[0, 1, -1, 1, 0, 1, 1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    2016000*ln2^2*s6 + 1143975*s8a + 25242000*s8b + 4032000*s8c - 
    4032000*s8d + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 
    10416000*s6*z2 + 12070800*li4half*z2^2 - 379050*ln2^4*z2^2 - 
    5701500*ln2^2*z2^3 + 1897596*z2^4 + 45696000*li5half*z3 - 
    380800*ln2^5*z3 + 3808000*ln2^3*z2*z3 + 2977800*ln2*z2^2*z3 - 
    567000*ln2^2*z3^2 - 6699000*z2*z3^2 - 21853125*ln2*z2*z5 - 
    43811250*z3*z5)/2352000, H[0, 1, -1, 1, 0, 1, 1, -1, 1] -> 
  (-12096000*li4half^2 + 1290240000*li8half + 258048000*li7half*ln2 - 
    1008000*li4half*ln2^4 - 40200*ln2^8 - 239904000*ln2^2*s6 + 
    54432000*ln2*s7a - 67872000*ln2*s7b + 525161700*s8a + 3214512000*s8b + 
    370944000*s8c + 294336000*s8d - 76608000*li6half*z2 - 
    48384000*li5half*ln2*z2 - 10080000*li4half*ln2^2*z2 + 56000*ln2^6*z2 - 
    949200000*s6*z2 + 68476800*li4half*z2^2 - 1380400*ln2^4*z2^2 + 
    48256800*ln2^2*z2^3 - 74883408*z2^4 - 556416000*li5half*z3 - 
    14112000*li4half*ln2*z3 + 4048800*ln2^5*z3 - 49896000*ln2^3*z2*z3 - 
    389785200*ln2*z2^2*z3 + 15876000*ln2^2*z3^2 - 394821000*z2*z3^2 + 
    118482000*ln2^3*z5 - 903777000*ln2*z2*z5 + 498613500*z3*z5 - 
    523942125*ln2*z7)/2688000, H[0, 1, -1, 1, 0, 1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    5376000*ln2^2*s6 - 6028575*s8a + 16380000*s8b - 10752000*s8c + 
    10752000*s8d - 56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 - 40320000*s6*z2 + 8736000*li4half*z2^2 + 
    952000*ln2^4*z2^2 - 8845200*ln2^2*z2^3 - 4140162*z2^4 + 
    16128000*li5half*z3 - 134400*ln2^5*z3 + 1344000*ln2^3*z2*z3 + 
    11453400*ln2*z2^2*z3 + 1512000*ln2^2*z3^2 + 15855000*z2*z3^2 + 
    87381000*ln2*z2*z5 - 34537125*z3*z5)/4704000, 
 H[0, 1, -1, 1, 0, 1, 0, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 864675*s8a - 10584000*s8b - 4032000*li4half*ln2^2*z2 - 
    168000*ln2^6*z2 - 1008000*s6*z2 - 11793600*li4half*z2^2 + 
    12600*ln2^4*z2^2 + 2268000*ln2^2*z2^3 + 1799157*z2^4 - 
    16128000*li5half*z3 + 134400*ln2^5*z3 - 1344000*ln2^3*z2*z3 - 
    2885400*ln2*z2^2*z3 + 1291500*z2*z3^2 + 1937250*ln2*z2*z5 + 
    18608625*z3*z5)/1008000, H[0, 1, -1, 1, 0, 1, 0, -1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    108864000*ln2^2*s6 + 56448000*ln2*s7a + 139974975*s8a + 659232000*s8b + 
    104832000*s8c + 64512000*s8d + 169344000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 - 
    171360000*s6*z2 - 99464400*li4half*z2^2 - 2380350*ln2^4*z2^2 + 
    49284900*ln2^2*z2^3 - 4720284*z2^4 - 185472000*li5half*z3 + 
    172872000*li4half*ln2*z3 + 8748600*ln2^5*z3 - 33978000*ln2^3*z2*z3 - 
    177269400*ln2*z2^2*z3 + 55818000*ln2^2*z3^2 - 120519000*z2*z3^2 + 
    54684000*ln2^3*z5 - 313393500*ln2*z2*z5 + 262717875*z3*z5 - 
    27121500*ln2*z7)/7056000, H[0, 1, -1, 1, 0, 1, -1, 1, 1] -> 
  (3024000*li4half^2 - 322560000*li8half + 16128000*li6half*ln2^2 + 
    252000*li4half*ln2^4 + 19650*ln2^8 + 53088000*ln2^2*s6 - 128430225*s8a - 
    791280000*s8b - 88704000*s8c - 73584000*s8d + 48384000*li6half*z2 + 
    16128000*li5half*ln2*z2 + 1512000*li4half*ln2^2*z2 - 116200*ln2^6*z2 + 
    254520000*s6*z2 - 16480800*li4half*z2^2 + 1619100*ln2^4*z2^2 - 
    11772600*ln2^2*z2^3 + 16052754*z2^4 + 133056000*li5half*z3 - 
    1108800*ln2^5*z3 + 11088000*ln2^3*z2*z3 + 98128800*ln2*z2^2*z3 + 
    9198000*ln2^2*z3^2 + 87570000*z2*z3^2 + 250740000*ln2*z2*z5 - 
    111974625*z3*z5)/672000, H[0, 1, -1, 1, 0, 1, -1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    22176000*ln2^2*s6 + 61119450*s8a + 327348000*s8b + 44352000*s8c + 
    40320000*s8d - 84672000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 168840000*s6*z2 + 17501400*li4half*z2^2 - 
    152775*ln2^4*z2^2 + 11790450*ln2^2*z2^3 + 5201802*z2^4 - 
    94752000*li5half*z3 + 789600*ln2^5*z3 - 7896000*ln2^3*z2*z3 - 
    53121600*ln2*z2^2*z3 - 6237000*ln2^2*z3^2 - 30618000*z2*z3^2 - 
    49210875*ln2*z2*z5 + 136505250*z3*z5)/3528000, 
 H[0, 1, -1, 1, 0, 1, -1, -1, 1] -> 
  (2822400*li4half^2 - 45158400*li7half*ln2 - 11289600*li6half*ln2^2 + 
    235200*li4half*ln2^4 - 1820*ln2^8 + 5678400*ln2^2*s6 - 10785600*ln2*s7a + 
    14380800*ln2*s7b - 2146725*s8a - 10416000*s8b - 2016000*s8c - 
    806400*s8d - 4233600*li6half*z2 - 2822400*li5half*ln2*z2 - 
    1058400*li4half*ln2^2*z2 + 20580*ln2^6*z2 - 504000*s6*z2 - 
    2219280*li4half*z2^2 - 1039150*ln2^4*z2^2 - 1785840*ln2^2*z2^3 + 
    641574*z2^4 + 3024000*li5half*z3 + 3704400*li4half*ln2*z3 + 
    129150*ln2^5*z3 + 560700*ln2^3*z2*z3 - 2552550*ln2*z2^2*z3 - 
    10905300*ln2^2*z3^2 + 3551625*z2*z3^2 - 24379950*ln2^3*z5 - 
    30918300*ln2*z2*z5 - 6377175*z3*z5 + 109069800*ln2*z7)/470400, 
 H[0, 1, -1, 1, 0, 0, 1, 1, 1] -> (-168000*ln2^2*s6 + 1017450*s8a + 
    3990000*s8b + 336000*s8c - 336000*s8d + 1411200*li5half*ln2*z2 - 
    11760*ln2^6*z2 - 1209600*s6*z2 - 208320*li4half*z2^2 + 
    108920*ln2^4*z2^2 - 31920*ln2^2*z2^3 - 212783*z2^4 + 4435200*li5half*z3 - 
    36960*ln2^5*z3 - 247800*ln2^3*z2*z3 + 801360*ln2*z2^2*z3 - 
    47250*ln2^2*z3^2 - 1295700*z2*z3^2 - 2386125*ln2*z2*z5 - 291375*z3*z5)/
   470400, H[0, 1, -1, 1, 0, 0, 1, 0, 1] -> 
  (-3360000*ln2^2*s6 + 11742150*s8a - 2520000*s8b + 6720000*s8c - 
    6720000*s8d + 11088000*s6*z2 + 7123200*li4half*z2^2 + 296800*ln2^4*z2^2 + 
    3418800*ln2^2*z2^3 - 1013561*z2^4 - 24192000*li5half*z3 + 
    201600*ln2^5*z3 - 2016000*ln2^3*z2*z3 - 9462600*ln2*z2^2*z3 - 
    945000*ln2^2*z3^2 - 189000*z2*z3^2 - 14537250*ln2*z2*z5 + 15303750*z3*z5)/
   2352000, H[0, 1, -1, 1, 0, 0, 1, -1, 1] -> 
  (245280000*ln2^2*s6 - 51744000*ln2*s7a + 61152000*ln2*s7b - 499077600*s8a - 
    2573760000*s8b - 387072000*s8c - 290304000*s8d + 
    112896000*li5half*ln2*z2 - 940800*ln2^6*z2 + 895776000*s6*z2 - 
    44654400*li4half*z2^2 + 7547400*ln2^4*z2^2 - 102572400*ln2^2*z2^3 + 
    11551864*z2^4 + 505344000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    6269200*ln2^5*z3 + 54460000*ln2^3*z2*z3 + 395505600*ln2*z2^2*z3 - 
    10248000*ln2^2*z3^2 + 430248000*z2*z3^2 - 109368000*ln2^3*z5 + 
    1014657000*ln2*z2*z5 - 971754000*z3*z5 + 77156625*ln2*z7)/9408000, 
 H[0, 1, -1, 1, 0, 0, 0, 1, 1] -> (5376000*ln2^2*s6 - 19743675*s8a - 
    61824000*s8b - 10752000*s8c + 10752000*s8d + 20832000*s6*z2 - 
    3494400*li4half*z2^2 - 145600*ln2^4*z2^2 - 2436000*ln2^2*z2^3 + 
    98632*z2^4 + 16128000*li5half*z3 - 134400*ln2^5*z3 + 
    1344000*ln2^3*z2*z3 + 10571400*ln2*z2^2*z3 + 1512000*ln2^2*z3^2 + 
    1449000*z2*z3^2 + 24759000*ln2*z2*z5 - 10392375*z3*z5)/4704000, 
 H[0, 1, -1, 1, 0, 0, 0, 0, 1] -> 
  (96075*s8a + 1176000*s8b - 252000*ln2^2*z2^3 + 12822*z2^4 - 
    189000*ln2*z2^2*z3 - 31500*z2*z3^2 - 157500*ln2*z2*z5 - 69125*z3*z5)/
   112000, H[0, 1, -1, 1, 0, 0, 0, -1, 1] -> 
  (50400000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 97903575*s8a - 
    466368000*s8b - 76608000*s8c - 36288000*s8d + 144312000*s6*z2 - 
    9727200*li4half*z2^2 - 405300*ln2^4*z2^2 - 19189800*ln2^2*z2^3 - 
    3795797*z2^4 + 86688000*li5half*z3 - 722400*ln2^5*z3 + 
    7224000*ln2^3*z2*z3 + 66116400*ln2*z2^2*z3 - 4347000*ln2^2*z3^2 + 
    71641500*z2*z3^2 - 36456000*ln2^3*z5 + 130042500*ln2*z2*z5 - 
    135415875*z3*z5 + 186566625*ln2*z7)/2352000, 
 H[0, 1, -1, 1, 0, 0, -1, 1, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 - 
    53088000*ln2^2*s6 + 114758700*s8a + 600222000*s8b + 82656000*s8c + 
    72576000*s8d - 28224000*li5half*ln2*z2 + 3528000*li4half*ln2^2*z2 + 
    382200*ln2^6*z2 - 222768000*s6*z2 + 15926400*li4half*z2^2 - 
    2129400*ln2^4*z2^2 + 25758600*ln2^2*z2^3 - 5900423*z2^4 - 
    114576000*li5half*z3 + 954800*ln2^5*z3 - 9548000*ln2^3*z2*z3 - 
    86557800*ln2*z2^2*z3 - 9271500*ln2^2*z3^2 - 92347500*z2*z3^2 - 
    226248750*ln2*z2*z5 + 211903125*z3*z5)/2352000, 
 H[0, 1, -1, 1, 0, 0, -1, 0, 1] -> (-6048000*ln2^2*s6 + 10498950*s8a + 
    28392000*s8b + 12096000*s8c - 12096000*s8d + 10080000*s6*z2 + 
    4989600*li4half*z2^2 + 207900*ln2^4*z2^2 + 1020600*ln2^2*z2^3 + 
    3617267*z2^4 - 4032000*li5half*z3 + 33600*ln2^5*z3 - 336000*ln2^3*z2*z3 - 
    11352600*ln2*z2^2*z3 - 1701000*ln2^2*z3^2 - 3633000*z2*z3^2 - 
    35075250*ln2*z2*z5 - 7439250*z3*z5)/2352000, 
 H[0, 1, -1, 1, 0, 0, -1, -1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    1008000*ln2^2*s6 + 7056000*ln2*s7a - 26812800*ln2*s7b + 12880350*s8a + 
    62496000*s8b + 12096000*s8c + 4838400*s8d - 8467200*li6half*z2 + 
    7056000*li4half*ln2^2*z2 + 282240*ln2^6*z2 - 18496800*s6*z2 + 
    17196480*li4half*z2^2 + 540120*ln2^4*z2^2 - 5927040*ln2^2*z2^3 - 
    1285554*z2^4 - 6854400*li5half*z3 - 29635200*li4half*ln2*z3 - 
    1177680*ln2^5*z3 + 1898400*ln2^3*z2*z3 + 6710760*ln2*z2^2*z3 + 
    4296600*ln2^2*z3^2 - 13393800*z2*z3^2 + 32810400*ln2^3*z5 + 
    25011000*ln2*z2*z5 + 26708850*z3*z5 - 108122175*ln2*z7)/2822400, 
 H[0, 1, -1, 1, 0, -1, 1, 1, 1] -> 
  (-52920000*li4half^2 + 1128960000*li8half + 18816000*li5half*ln2^3 - 
    4410000*li4half*ln2^4 - 220675*ln2^8 - 119700000*ln2^2*s6 + 
    341064675*s8a + 2153592000*s8b + 239400000*s8c + 159264000*s8d - 
    508032000*li6half*z2 - 130536000*li5half*ln2*z2 - 
    10584000*li4half*ln2^2*z2 + 725200*ln2^6*z2 - 793044000*s6*z2 + 
    55843200*li4half*z2^2 - 5331900*ln2^4*z2^2 + 31392900*ln2^2*z2^3 - 
    5318622*z2^4 - 247968000*li5half*z3 + 2066400*ln2^5*z3 - 
    34555500*ln2^3*z2*z3 - 238442400*ln2*z2^2*z3 - 33665625*ln2^2*z3^2 - 
    174147750*z2*z3^2 - 9114000*ln2^3*z5 - 617762250*ln2*z2*z5 + 
    140482125*z3*z5)/7056000, H[0, 1, -1, 1, 0, -1, 1, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    36288000*ln2^2*s6 - 69344100*s8a - 341460000*s8b - 72576000*s8c - 
    12096000*s8d + 169344000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 158256000*s6*z2 - 
    6564600*li4half*z2^2 + 1196475*ln2^4*z2^2 - 17832150*ln2^2*z2^3 - 
    31579146*z2^4 + 80640000*li5half*z3 - 672000*ln2^5*z3 + 
    6720000*ln2^3*z2*z3 + 76230000*ln2*z2^2*z3 + 10206000*ln2^2*z3^2 + 
    35028000*z2*z3^2 + 113596875*ln2*z2*z5 - 133308000*z3*z5)/3528000, 
 H[0, 1, -1, 1, 0, -1, 1, -1, 1] -> 
  (-36126720000*li8half - 5419008000*li7half*ln2 - 150528000*li5half*ln2^3 + 
    1433600*ln2^8 + 6679008000*ln2^2*s6 - 1421280000*ln2*s7a + 
    1598688000*ln2*s7b - 14790232800*s8a - 89139456000*s8b - 
    10515456000*s8c - 7999488000*s8d + 1354752000*li6half*z2 + 
    451584000*li5half*ln2*z2 + 254016000*li4half*ln2^2*z2 - 
    1332800*ln2^6*z2 + 25990272000*s6*z2 - 1540627200*li4half*z2^2 + 
    94802400*ln2^4*z2^2 - 1391090400*ln2^2*z2^3 + 2159445312*z2^4 + 
    15773184000*li5half*z3 - 444528000*li4half*ln2*z3 - 149965200*ln2^5*z3 + 
    1425564000*ln2^3*z2*z3 + 11339798400*ln2*z2^2*z3 - 297864000*ln2^2*z3^2 + 
    11090016000*z2*z3^2 - 2852682000*ln2^3*z5 + 26537112000*ln2*z2*z5 - 
    14199444000*z3*z5 + 11635225875*ln2*z7)/56448000, 
 H[0, 1, -1, 1, 0, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    1344000*ln2^2*s6 - 13392225*s8a - 50400000*s8b + 2688000*s8c - 
    2688000*s8d + 225792000*li6half*z2 + 18816000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 431200*ln2^6*z2 + 127680000*s6*z2 + 
    9223200*li4half*z2^2 + 2540300*ln2^4*z2^2 - 20559000*ln2^2*z2^3 - 
    24072696*z2^4 - 4032000*li5half*z3 + 33600*ln2^5*z3 - 
    336000*ln2^3*z2*z3 - 8706600*ln2*z2^2*z3 - 378000*ln2^2*z3^2 - 
    22743000*z2*z3^2 + 9723000*ln2*z2*z5 - 45016125*z3*z5)/4704000, 
 H[0, 1, -1, 1, 0, -1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    8064000*ln2^2*s6 - 7923825*s8a + 30744000*s8b - 16128000*s8c + 
    16128000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    39312000*s6*z2 - 76154400*li4half*z2^2 + 354900*ln2^4*z2^2 + 
    7194600*ln2^2*z2^3 + 7022823*z2^4 - 60480000*li5half*z3 + 
    504000*ln2^5*z3 - 5040000*ln2^3*z2*z3 - 45927000*ln2*z2^2*z3 + 
    2268000*ln2^2*z3^2 + 9670500*z2*z3^2 + 55329750*ln2*z2*z5 + 
    103453875*z3*z5)/7056000, H[0, 1, -1, 1, 0, -1, 0, -1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 + 
    32256000*ln2^2*s6 + 56448000*ln2*s7a + 112896000*ln2*s7b - 
    174193425*s8a - 751968000*s8b - 177408000*s8c + 8064000*s8d + 
    338688000*li6half*z2 + 141120000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1881600*ln2^6*z2 + 230832000*s6*z2 - 
    107578800*li4half*z2^2 - 1542450*ln2^4*z2^2 - 10514700*ln2^2*z2^3 - 
    73107288*z2^4 - 100800000*li5half*z3 + 172872000*li4half*ln2*z3 + 
    8043000*ln2^5*z3 - 26922000*ln2^3*z2*z3 - 32974200*ln2*z2^2*z3 + 
    95508000*ln2^2*z3^2 + 102627000*z2*z3^2 - 54684000*ln2^3*z5 + 
    90121500*ln2*z2*z5 + 43540875*z3*z5 + 870754500*ln2*z7)/7056000, 
 H[0, 1, -1, 1, 0, -1, -1, 1, 1] -> 
  (-48384000*li4half^2 + 2580480000*li8half - 193536000*li6half*ln2^2 - 
    21504000*li5half*ln2^3 - 4032000*li4half*ln2^4 - 109600*ln2^8 - 
    486864000*ln2^2*s6 + 1048888575*s8a + 6243048000*s8b + 764064000*s8c + 
    534240000*s8d - 24192000*li5half*ln2*z2 - 18144000*li4half*ln2^2*z2 - 
    106400*ln2^6*z2 - 1717632000*s6*z2 + 131846400*li4half*z2^2 - 
    4183200*ln2^4*z2^2 + 85046400*ln2^2*z2^3 - 156550608*z2^4 - 
    1061424000*li5half*z3 + 8845200*ln2^5*z3 - 88452000*ln2^3*z2*z3 - 
    817198200*ln2*z2^2*z3 - 82026000*ln2^2*z3^2 - 800163000*z2*z3^2 + 
    10416000*ln2^3*z5 - 2224908000*ln2*z2*z5 + 906121125*z3*z5)/8064000, 
 H[0, 1, -1, 1, 0, -1, -1, 0, 1] -> 
  (-5376000*ln2^2*s6 + 8178450*s8a + 45360000*s8b + 10752000*s8c - 
    10752000*s8d - 112896000*li6half*z2 - 37632000*li5half*ln2*z2 + 
    156800*ln2^6*z2 - 44352000*s6*z2 - 386400*li4half*z2^2 - 
    800100*ln2^4*z2^2 + 2406600*ln2^2*z2^3 + 20464932*z2^4 + 
    37968000*li5half*z3 - 316400*ln2^5*z3 + 3164000*ln2^3*z2*z3 + 
    512400*ln2*z2^2*z3 - 1512000*ln2^2*z3^2 + 8638875*z2*z3^2 - 
    19871250*ln2*z2*z5 - 32035500*z3*z5)/4704000, 
 H[0, 1, -1, 1, 0, -1, -1, -1, 1] -> 
  (6451200*li4half^2 + 258048000*li8half + 154828800*li7half*ln2 + 
    38707200*li6half*ln2^2 + 4300800*li5half*ln2^3 + 537600*li4half*ln2^4 + 
    4800*ln2^8 - 40118400*ln2^2*s6 + 33868800*ln2*s7a - 39513600*ln2*s7b + 
    80046225*s8a + 508132800*s8b + 54432000*s8c + 46368000*s8d + 
    16934400*li6half*z2 + 7257600*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 
    103040*ln2^6*z2 - 133660800*s6*z2 + 4515840*li4half*z2^2 + 
    540960*ln2^4*z2^2 + 6743520*ln2^2*z2^3 - 19700136*z2^4 - 
    98582400*li5half*z3 + 8467200*li4half*ln2*z3 + 1174320*ln2^5*z3 - 
    9979200*ln2^3*z2*z3 - 58169160*ln2*z2^2*z3 + 29597400*ln2^2*z3^2 - 
    64285200*z2*z3^2 + 69006000*ln2^3*z5 - 57519000*ln2*z2*z5 + 
    75324375*z3*z5 - 308526750*ln2*z7)/1612800, 
 H[0, 1, -1, 1, -1, 1, 1, 1, 1] -> (-84672000*li4half^2 + 846720000*li8half - 
    3528000*li4half*ln2^4 + 21000*ln2^8 + 71568000*ln2^2*s6 - 125759025*s8a + 
    108360000*s8b - 143136000*s8c + 129024000*s8d - 282240000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 
    293328000*s6*z2 + 50500800*li4half*z2^2 - 3217200*ln2^4*z2^2 - 
    55893600*ln2^2*z2^3 - 56967264*z2^4 - 145152000*li5half*z3 + 
    1209600*ln2^5*z3 + 32004000*ln2^3*z2*z3 + 76847400*ln2*z2^2*z3 + 
    20128500*ln2^2*z3^2 + 188275500*z2*z3^2 + 598752000*ln2*z2*z5 - 
    313070625*z3*z5)/28224000, H[0, 1, -1, 1, -1, 1, 1, 0, 1] -> 
  (-84672000*li4half^2 - 1693440000*li8half - 7056000*li4half*ln2^4 - 
    189000*ln2^8 + 46368000*ln2^2*s6 - 288699075*s8a - 2258424000*s8b - 
    92736000*s8c - 337680000*s8d + 28224000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 105840000*li4half*ln2^2*z2 + 5272400*ln2^6*z2 + 
    932904000*s6*z2 - 18144000*li4half*z2^2 - 9723000*ln2^4*z2^2 + 
    8190000*ln2^2*z2^3 + 178354188*z2^4 + 816480000*li5half*z3 - 
    10584000*li4half*ln2*z3 - 7245000*ln2^5*z3 + 67158000*ln2^3*z2*z3 + 
    196522200*ln2*z2^2*z3 + 13041000*ln2^2*z3^2 + 109683000*z2*z3^2 + 
    112833000*ln2*z2*z5 - 363391875*z3*z5)/28224000, 
 H[0, 1, -1, 1, -1, 1, 1, -1, 1] -> 
  (-705600000*li8half + 28224000*li7half*ln2 - 3528000*li4half*ln2^4 - 
    170100*ln2^8 + 70560000*ln2^2*s6 + 5040000*ln2*s7a + 110880000*ln2*s7b - 
    277935525*s8a - 1536192000*s8b - 151200000*s8c - 159264000*s8d + 
    127008000*li6half*z2 + 127008000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 19600*ln2^6*z2 + 653688000*s6*z2 - 
    21268800*li4half*z2^2 + 9374400*ln2^4*z2^2 + 17992800*ln2^2*z2^3 + 
    59669856*z2^4 + 233856000*li5half*z3 - 74088000*li4half*ln2*z3 - 
    5035800*ln2^5*z3 - 43134000*ln2^3*z2*z3 + 112543200*ln2*z2^2*z3 + 
    27562500*ln2^2*z3^2 + 91791000*z2*z3^2 - 102532500*ln2^3*z5 - 
    429093000*ln2*z2*z5 - 93074625*z3*z5 + 1070944875*ln2*z7)/28224000, 
 H[0, 1, -1, 1, -1, 1, 0, 1, 1] -> 
  (52920000*li4half^2 + 4410000*li4half*ln2^4 + 91875*ln2^8 - 
    48384000*ln2^2*s6 + 121939650*s8a + 612864000*s8b + 96768000*s8c + 
    44352000*s8d + 134064000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    26460000*li4half*ln2^2*z2 + 583100*ln2^6*z2 - 136332000*s6*z2 - 
    25880400*li4half*z2^2 - 5855850*ln2^4*z2^2 + 27083700*ln2^2*z2^3 - 
    5156001*z2^4 - 145152000*li5half*z3 + 5292000*li4half*ln2*z3 + 
    1430100*ln2^5*z3 - 11655000*ln2^3*z2*z3 - 106652700*ln2*z2^2*z3 - 
    13608000*ln2^2*z3^2 - 110612250*z2*z3^2 - 371007000*ln2*z2*z5 + 
    197552250*z3*z5)/7056000, H[0, 1, -1, 1, -1, 1, 0, 0, 1] -> 
  (8064000*ln2^2*s6 - 20323275*s8a - 102144000*s8b - 16128000*s8c - 
    7392000*s8d + 26544000*s6*z2 - 3154200*li4half*z2^2 + 750575*ln2^4*z2^2 - 
    3426150*ln2^2*z2^3 - 1026729*z2^4 + 14784000*li5half*z3 + 
    2646000*li4half*ln2*z3 - 12950*ln2^5*z3 + 1452500*ln2^3*z2*z3 + 
    17349150*ln2*z2^2*z3 + 2268000*ln2^2*z3^2 + 17130750*z2*z3^2 + 
    51691500*ln2*z2*z5 - 28515375*z3*z5)/1176000, 
 H[0, 1, -1, 1, -1, 1, 0, -1, 1] -> (16934400*li4half^2 - 451584000*li8half - 
    90316800*li7half*ln2 + 1411200*li4half*ln2^4 + 36120*ln2^8 + 
    54835200*ln2^2*s6 - 11289600*ln2*s7a + 11289600*ln2*s7b - 129487050*s8a - 
    856396800*s8b - 87091200*s8c - 76608000*s8d + 24696000*li6half*z2 + 
    16934400*li5half*ln2*z2 + 1058400*li4half*ln2^2*z2 - 125440*ln2^6*z2 + 
    240181200*s6*z2 - 27246240*li4half*z2^2 + 37800*ln2^4*z2^2 - 
    4687200*ln2^2*z2^3 + 27674064*z2^4 + 141926400*li5half*z3 + 
    13759200*li4half*ln2*z3 - 609420*ln2^5*z3 + 12973800*ln2^3*z2*z3 + 
    95206860*ln2*z2^2*z3 - 1864800*ln2^2*z3^2 + 95670225*z2*z3^2 - 
    21873600*ln2^3*z5 + 227140200*ln2*z2*z5 - 82022850*z3*z5 + 
    123215400*ln2*z7)/1411200, H[0, 1, -1, 1, -1, 1, -1, 1, 1] -> 
  (-2352000*li8half - 1176000*li6half*ln2^2 - 98000*li4half*ln2^4 - 
    5775*ln2^8 + 42000*ln2^2*s6 + 662550*s8a + 3192000*s8b + 504000*s8c + 
    84000*s8d + 1176000*li6half*z2 + 588000*li4half*ln2^2*z2 + 
    24500*ln2^6*z2 - 756000*s6*z2 - 42000*li4half*z2^2 - 36050*ln2^4*z2^2 + 
    52500*ln2^2*z2^3 + 150228*z2^4 - 168000*li5half*z3 - 
    588000*li4half*ln2*z3 - 23100*ln2^5*z3 - 259000*ln2^3*z2*z3 - 
    351750*ln2*z2^2*z3 - 52500*ln2^2*z3^2 - 561750*z2*z3^2 - 
    1953000*ln2*z2*z5 + 711375*z3*z5)/784000, 
 H[0, 1, -1, 1, -1, 1, -1, 0, 1] -> 
  (64512000*li8half + 1600*ln2^8 - 4032000*ln2^2*s6 + 12511800*s8a + 
    88704000*s8b + 8064000*s8c + 8064000*s8d - 1512000*li6half*z2 - 
    756000*li4half*ln2^2*z2 - 78400*ln2^6*z2 - 23814000*s6*z2 + 
    1310400*li4half*z2^2 - 111300*ln2^4*z2^2 - 1024200*ln2^2*z2^3 - 
    4246452*z2^4 - 16128000*li5half*z3 + 3024000*li4half*ln2*z3 + 
    260400*ln2^5*z3 - 1092000*ln2^3*z2*z3 - 10029600*ln2*z2^2*z3 - 
    1134000*ln2^2*z3^2 - 8796375*z2*z3^2 - 22680000*ln2*z2*z5 + 
    3433500*z3*z5)/1008000, H[0, 1, -1, 1, -1, 1, -1, -1, 1] -> 
  (50803200*li4half^2 - 79027200*li8half - 16934400*li7half*ln2 + 
    8467200*li6half*ln2^2 + 4939200*li4half*ln2^4 + 130760*ln2^8 - 
    2520000*ln2^2*s6 + 604800*ln2*s7a - 3628800*ln2*s7b - 7156800*s8a - 
    99691200*s8b - 403200*s8c - 12297600*s8d + 16934400*li6half*z2 + 
    25401600*li5half*ln2*z2 - 4233600*li4half*ln2^2*z2 - 368480*ln2^6*z2 + 
    26712000*s6*z2 - 37598400*li4half*z2^2 - 2495640*ln2^4*z2^2 + 
    8028720*ln2^2*z2^3 + 8872992*z2^4 + 7660800*li5half*z3 + 
    48686400*li4half*ln2*z3 + 1964760*ln2^5*z3 + 5754000*ln2^3*z2*z3 - 
    3714480*ln2*z2^2*z3 + 680400*ln2^2*z3^2 + 8990100*z2*z3^2 + 
    4101300*ln2^3*z5 + 25893000*ln2*z2*z5 + 1915200*z3*z5 - 33051375*ln2*z7)/
   5644800, H[0, 1, -1, 1, -1, 0, 1, 1, 1] -> 
  (3024000*li4half^2 + 252000*li4half*ln2^4 + 5250*ln2^8 - 
    12600000*ln2^2*s6 + 31473225*s8a + 129024000*s8b + 25200000*s8c + 
    3024000*s8d + 32256000*li6half*z2 + 9072000*li5half*ln2*z2 - 
    1512000*li4half*ln2^2*z2 - 93800*ln2^6*z2 - 12096000*s6*z2 - 
    151200*li4half*z2^2 + 266700*ln2^4*z2^2 + 2230200*ln2^2*z2^3 - 
    2104344*z2^4 - 6048000*li5half*z3 - 756000*li4half*ln2*z3 + 
    18900*ln2^5*z3 - 4536000*ln2^3*z2*z3 - 20204100*ln2*z2^2*z3 - 
    3543750*ln2^2*z3^2 - 34146000*z2*z3^2 - 84955500*ln2*z2*z5 + 
    41351625*z3*z5)/2016000, H[0, 1, -1, 1, -1, 0, 1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    9072000*ln2^2*s6 - 3091725*s8a - 21420000*s8b - 18144000*s8c + 
    18144000*s8d - 56448000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 313600*ln2^6*z2 - 68040000*s6*z2 + 
    17829000*li4half*z2^2 + 2800875*ln2^4*z2^2 + 3739050*ln2^2*z2^3 - 
    7567806*z2^4 - 64512000*li5half*z3 - 15876000*li4half*ln2*z3 - 
    123900*ln2^5*z3 - 6699000*ln2^3*z2*z3 + 9664200*ln2*z2^2*z3 + 
    2551500*ln2^2*z3^2 + 28822500*z2*z3^2 + 109171125*ln2*z2*z5 + 
    49525875*z3*z5)/3528000, H[0, 1, -1, 1, -1, 0, 1, -1, 1] -> 
  (-225792000*li4half^2 + 12042240000*li8half + 2408448000*li7half*ln2 - 
    18816000*li4half*ln2^4 - 571200*ln2^8 - 1946784000*ln2^2*s6 + 
    452256000*ln2*s7a - 676704000*ln2*s7b + 4366580400*s8a + 
    26971392000*s8b + 2989056000*s8c + 2429952000*s8d - 
    752640000*li6half*z2 - 451584000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 + 862400*ln2^6*z2 - 8020992000*s6*z2 + 
    630873600*li4half*z2^2 - 7739200*ln2^4*z2^2 + 309943200*ln2^2*z2^3 - 
    726588096*z2^4 - 4558848000*li5half*z3 - 91728000*li4half*ln2*z3 + 
    34168400*ln2^5*z3 - 338156000*ln2^3*z2*z3 - 3098272800*ln2*z2^2*z3 + 
    144984000*ln2^2*z3^2 - 3097332000*z2*z3^2 + 1093680000*ln2^3*z5 - 
    6173202000*ln2*z2*z5 + 3429342000*z3*z5 - 6063264375*ln2*z7)/18816000, 
 H[0, 1, -1, 1, -1, 0, 0, 1, 1] -> 
  (4233600*li4half^2 + 352800*li4half*ln2^4 + 7350*ln2^8 + 8064000*ln2^2*s6 - 
    25277175*s8a - 128898000*s8b - 16128000*s8c - 12096000*s8d - 
    22579200*li6half*z2 - 2116800*li4half*ln2^2*z2 - 119560*ln2^6*z2 + 
    39715200*s6*z2 - 4959360*li4half*z2^2 + 528360*ln2^4*z2^2 - 
    2366280*ln2^2*z2^3 + 4481949*z2^4 + 24192000*li5half*z3 + 
    3175200*li4half*ln2*z3 - 69300*ln2^5*z3 + 2280600*ln2^3*z2*z3 + 
    16756740*ln2*z2^2*z3 + 2268000*ln2^2*z3^2 + 20166300*z2*z3^2 + 
    47391750*ln2*z2*z5 - 39507300*z3*z5)/1411200, 
 H[0, 1, -1, 1, -1, 0, 0, 0, 1] -> (-4256000*ln2^2*s6 + 11072950*s8a + 
    57960000*s8b + 8512000*s8c + 4032000*s8d - 14336000*s6*z2 + 
    1629600*li4half*z2^2 + 67900*ln2^4*z2^2 + 1051400*ln2^2*z2^3 + 
    564717*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 - 
    10504200*ln2*z2^2*z3 - 1197000*ln2^2*z3^2 - 9177000*z2*z3^2 - 
    27888000*ln2*z2*z5 + 15587250*z3*z5)/784000, 
 H[0, 1, -1, 1, -1, 0, 0, -1, 1] -> (94752000*ln2^2*s6 - 22176000*ln2*s7a + 
    48384000*ln2*s7b - 188466075*s8a - 894600000*s8b - 145152000*s8c - 
    80640000*s8d - 28224000*li6half*z2 - 39200*ln2^6*z2 + 284760000*s6*z2 - 
    14805000*li4half*z2^2 - 28875*ln2^4*z2^2 - 34306650*ln2^2*z2^3 + 
    2405913*z2^4 + 161280000*li5half*z3 - 7938000*li4half*ln2*z3 - 
    1674750*ln2^5*z3 + 12778500*ln2^3*z2*z3 + 125473950*ln2*z2^2*z3 - 
    7308000*ln2^2*z3^2 + 145687500*z2*z3^2 - 68355000*ln2^3*z5 + 
    242337375*ln2*z2*z5 - 285193125*z3*z5 + 314448750*ln2*z7)/3528000, 
 H[0, 1, -1, 1, -1, 0, -1, 1, 1] -> (24192000*li4half^2 - 645120000*li8half + 
    32256000*li6half*ln2^2 + 2016000*li4half*ln2^4 + 70800*ln2^8 + 
    72576000*ln2^2*s6 - 194829075*s8a - 1272096000*s8b - 129024000*s8c - 
    114912000*s8d + 96768000*li6half*z2 + 48384000*li5half*ln2*z2 + 
    9072000*li4half*ln2^2*z2 - 114800*ln2^6*z2 + 404208000*s6*z2 - 
    37598400*li4half*z2^2 + 1743000*ln2^4*z2^2 - 2966400*ln2^2*z2^3 + 
    33276168*z2^4 + 197568000*li5half*z3 + 6048000*li4half*ln2*z3 - 
    1394400*ln2^5*z3 + 16968000*ln2^3*z2*z3 + 143577000*ln2*z2^2*z3 + 
    14238000*ln2^2*z3^2 + 124740000*z2*z3^2 + 340767000*ln2*z2*z5 - 
    108147375*z3*z5)/2016000, H[0, 1, -1, 1, -1, 0, -1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    19152000*ln2^2*s6 + 49828275*s8a + 260820000*s8b + 38304000*s8c + 
    18144000*s8d - 42336000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 - 82152000*s6*z2 + 18887400*li4half*z2^2 + 
    1668975*ln2^4*z2^2 + 1181250*ln2^2*z2^3 + 56874*z2^4 - 
    64512000*li5half*z3 - 21168000*li4half*ln2*z3 - 344400*ln2^5*z3 - 
    7140000*ln2^3*z2*z3 - 39683700*ln2*z2^2*z3 - 5386500*ln2^2*z3^2 - 
    34240500*z2*z3^2 - 77371875*ln2*z2*z5 + 78631875*z3*z5)/3528000, 
 H[0, 1, -1, 1, -1, 0, -1, -1, 1] -> 
  (-225792000*li4half^2 - 6021120000*li8half - 2408448000*li7half*ln2 - 
    301056000*li6half*ln2^2 - 18816000*li4half*ln2^4 - 481600*ln2^8 + 
    1343328000*ln2^2*s6 - 536928000*ln2*s7a + 592032000*ln2*s7b - 
    2486528100*s8a - 14925456000*s8b - 1763328000*s8c - 1341312000*s8d + 
    65856000*li6half*z2 + 70560000*li4half*ln2^2*z2 + 3449600*ln2^6*z2 + 
    4293744000*s6*z2 - 101740800*li4half*z2^2 - 9139200*ln2^4*z2^2 - 
    352413600*ln2^2*z2^3 + 350964984*z2^4 + 2682624000*li5half*z3 - 
    303408000*li4half*ln2*z3 - 34997200*ln2^5*z3 + 247660000*ln2^3*z2*z3 + 
    1877316000*ln2*z2^2*z3 - 386736000*ln2^2*z3^2 + 1869483000*z2*z3^2 - 
    1093680000*ln2^3*z5 + 3387279000*ln2*z2*z5 - 2366143500*z3*z5 + 
    5206511625*ln2*z7)/18816000, H[0, 1, -1, 1, -1, -1, 1, 1, 1] -> 
  (1975680000*li8half + 28224000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    480200*ln2^8 - 517104000*ln2^2*s6 + 1314383175*s8a + 6694632000*s8b + 
    1034208000*s8c + 292320000*s8d - 508032000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 1450400*ln2^6*z2 - 1755936000*s6*z2 + 
    49996800*li4half*z2^2 - 13498800*ln2^4*z2^2 + 149486400*ln2^2*z2^3 + 
    24439248*z2^4 - 605808000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    5930400*ln2^5*z3 - 168672000*ln2^3*z2*z3 - 920593800*ln2*z2^2*z3 - 
    145435500*ln2^2*z3^2 - 1023277500*z2*z3^2 + 13671000*ln2^3*z5 - 
    3139668000*ln2*z2*z5 + 1163665125*z3*z5)/56448000, 
 H[0, 1, -1, 1, -1, -1, 1, 0, 1] -> 
  (-21168000*li4half^2 + 141120000*li8half - 1764000*li4half*ln2^4 - 
    33250*ln2^8 + 8064000*ln2^2*s6 + 13729275*s8a + 153342000*s8b - 
    16128000*s8c + 44352000*s8d - 2646000*li4half*ln2^2*z2 - 
    208250*ln2^6*z2 - 96642000*s6*z2 + 24305400*li4half*z2^2 + 
    1931475*ln2^4*z2^2 - 4202100*ln2^2*z2^3 - 27903096*z2^4 - 
    53424000*li5half*z3 - 17199000*li4half*ln2*z3 - 271425*ln2^5*z3 - 
    5885250*ln2^3*z2*z3 + 9363375*ln2*z2^2*z3 + 2268000*ln2^2*z3^2 + 
    4599000*z2*z3^2 + 53676000*ln2*z2*z5 + 15088500*z3*z5)/3528000, 
 H[0, 1, -1, 1, -1, -1, 1, -1, 1] -> 
  (-127008000*li4half^2 - 282240000*li8half + 42336000*li7half*ln2 - 
    7056000*li5half*ln2^3 - 8820000*li4half*ln2^4 - 103600*ln2^8 + 
    68544000*ln2^2*s6 - 15120000*ln2*s7a - 57456000*ln2*s7b - 106103025*s8a - 
    635544000*s8b - 106848000*s8c - 41328000*s8d - 42336000*li6half*z2 - 
    105840000*li5half*ln2*z2 + 460600*ln2^6*z2 + 114408000*s6*z2 + 
    79581600*li4half*z2^2 + 7564200*ln2^4*z2^2 - 37989000*ln2^2*z2^3 + 
    2205936*z2^4 + 156744000*li5half*z3 - 116424000*li4half*ln2*z3 - 
    6157200*ln2^5*z3 + 43050000*ln2^3*z2*z3 + 176878800*ln2*z2^2*z3 - 
    3874500*ln2^2*z3^2 + 119715750*z2*z3^2 + 37595250*ln2^3*z5 + 
    746975250*ln2*z2*z5 - 194654250*z3*z5 - 709222500*ln2*z7)/14112000, 
 H[0, 1, -1, 1, -1, -1, 0, 1, 1] -> 
  (-16934400*li4half^2 - 1411200*li4half*ln2^4 - 29400*ln2^8 + 
    22377600*ln2^2*s6 - 67633125*s8a - 311438400*s8b - 44755200*s8c - 
    23923200*s8d - 22579200*li6half*z2 - 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 384160*ln2^6*z2 + 87830400*s6*z2 + 
    860160*li4half*z2^2 + 2329040*ln2^4*z2^2 - 13651680*ln2^2*z2^3 + 
    4053096*z2^4 + 67132800*li5half*z3 + 7056000*li4half*ln2*z3 - 
    265440*ln2^5*z3 + 6182400*ln2^3*z2*z3 + 44218440*ln2*z2^2*z3 + 
    6293700*ln2^2*z3^2 + 61893300*z2*z3^2 + 180041400*ln2*z2*z5 - 
    139716675*z3*z5)/3763200, H[0, 1, -1, 1, -1, -1, 0, 0, 1] -> 
  (9031680*li4half^2 + 752640*li4half*ln2^4 + 15680*ln2^8 - 
    5765760*ln2^2*s6 + 15515325*s8a + 81688320*s8b + 11531520*s8c + 
    7096320*s8d + 2257920*li6half*z2 + 3386880*li5half*ln2*z2 - 
    1128960*li4half*ln2^2*z2 - 72128*ln2^6*z2 - 23224320*s6*z2 - 
    8092224*li4half*z2^2 - 1125096*ln2^4*z2^2 + 4841424*ln2^2*z2^3 + 
    1605600*z2^4 - 16168320*li5half*z3 + 3386880*li4half*ln2*z3 + 
    275856*ln2^5*z3 - 1065120*ln2^3*z2*z3 - 20490120*ln2*z2^2*z3 - 
    1621620*ln2^2*z3^2 - 13155660*z2*z3^2 - 38590020*ln2*z2*z5 + 
    33555375*z3*z5)/1128960, H[0, 1, -1, 1, -1, -1, 0, -1, 1] -> 
  (60480000*li4half^2 + 1128960000*li8half + 225792000*li7half*ln2 + 
    5040000*li4half*ln2^4 + 88200*ln2^8 - 147168000*ln2^2*s6 + 
    61488000*ln2*s7a + 8064000*ln2*s7b + 287952525*s8a + 2030112000*s8b + 
    171360000*s8c + 221760000*s8d - 18144000*li6half*z2 - 
    15120000*li4half*ln2^2*z2 - 498400*ln2^6*z2 - 635544000*s6*z2 - 
    2217600*li4half*z2^2 - 3712800*ln2^4*z2^2 + 27367200*ln2^2*z2^3 - 
    85039236*z2^4 - 442512000*li5half*z3 + 77112000*li4half*ln2*z3 + 
    6900600*ln2^5*z3 - 44562000*ln2^3*z2*z3 - 288036000*ln2*z2^2*z3 + 
    52762500*ln2^2*z3^2 - 205411500*z2*z3^2 + 51754500*ln2^3*z5 - 
    561708000*ln2*z2*z5 + 292453875*z3*z5 + 2086875*ln2*z7)/4032000, 
 H[0, 1, -1, 1, -1, -1, -1, 1, 1] -> 
  (84672000*li4half^2 - 903168000*li8half + 14112000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 + 10584000*li4half*ln2^4 + 408800*ln2^8 - 
    41832000*ln2^2*s6 - 159552225*s8a - 1573992000*s8b - 22176000*s8c - 
    217728000*s8d + 352800000*li6half*z2 + 211680000*li5half*ln2*z2 - 
    1999200*ln2^6*z2 + 742392000*s6*z2 - 102110400*li4half*z2^2 + 
    8887200*ln2^4*z2^2 + 49266000*ln2^2*z2^3 + 58503744*z2^4 + 
    252000000*li5half*z3 + 74088000*li4half*ln2*z3 + 987000*ln2^5*z3 + 
    28938000*ln2^3*z2*z3 + 86007600*ln2*z2^2*z3 - 15624000*ln2^2*z3^2 + 
    48825000*z2*z3^2 - 6835500*ln2^3*z5 + 15592500*ln2*z2*z5 - 
    92948625*z3*z5)/28224000, H[0, 1, -1, 1, -1, -1, -1, 0, 1] -> 
  (-18816000*li4half^2 - 827904000*li8half - 1568000*li4half*ln2^4 - 
    53200*ln2^8 + 15792000*ln2^2*s6 - 87852975*s8a - 746088000*s8b - 
    31584000*s8c - 109536000*s8d - 47040000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 4704000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 + 
    216720000*s6*z2 + 1612800*li4half*z2^2 + 2184000*ln2^4*z2^2 + 
    9861600*ln2^2*z2^3 + 80667144*z2^4 + 197904000*li5half*z3 - 
    56448000*li4half*ln2*z3 - 4001200*ln2^5*z3 + 11788000*ln2^3*z2*z3 + 
    80568600*ln2*z2^2*z3 + 4441500*ln2^2*z3^2 + 50074500*z2*z3^2 + 
    80199000*ln2*z2*z5 + 6717375*z3*z5)/18816000, 
 H[0, 1, -1, 1, -1, -1, -1, -1, 1] -> 
  (1636992000*li8half - 56448000*li7half*ln2 - 28224000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 516600*ln2^8 + 
    205632000*ln2^2*s6 - 32256000*ln2*s7a + 108864000*ln2*s7b - 
    72587025*s8a + 662760000*s8b - 135072000*s8c + 135072000*s8d - 
    84672000*li6half*z2 - 84672000*li5half*ln2*z2 + 2038400*ln2^6*z2 - 
    206640000*s6*z2 + 27014400*li4half*z2^2 - 20571600*ln2^4*z2^2 - 
    153417600*ln2^2*z2^3 - 147804624*z2^4 - 234864000*li5half*z3 + 
    1957200*ln2^5*z3 - 47796000*ln2^3*z2*z3 - 62861400*ln2*z2^2*z3 + 
    16159500*ln2^2*z3^2 + 38020500*z2*z3^2 - 123039000*ln2^3*z5 - 
    257670000*ln2*z2*z5 - 156562875*z3*z5 + 1453378500*ln2*z7)/56448000, 
 H[0, 1, -1, 0, 1, 1, 1, 1, 1] -> (-1008000*li4half^2 - 84000*li4half*ln2^4 - 
    1750*ln2^8 - 504000*ln2^2*s6 + 943425*s8a - 3780000*s8b + 1008000*s8c - 
    1008000*s8d - 1008000*li5half*ln2*z2 - 504000*li4half*ln2^2*z2 - 
    12600*ln2^6*z2 + 3696000*s6*z2 - 420000*li4half*z2^2 + 87500*ln2^4*z2^2 + 
    79800*ln2^2*z2^3 + 351438*z2^4 + 2016000*li5half*z3 - 16800*ln2^5*z3 - 
    273000*ln2^3*z2*z3 - 277200*ln2*z2^2*z3 - 141750*ln2^2*z3^2 - 
    2047500*z2*z3^2 - 2016000*ln2*z2*z5 + 2265375*z3*z5)/672000, 
 H[0, 1, -1, 0, 1, 1, 1, 0, 1] -> (2016000*li4half^2 + 168000*li4half*ln2^4 + 
    3500*ln2^8 + 1008000*ln2^2*s6 + 806400*s8a + 2394000*s8b - 2016000*s8c + 
    2016000*s8d - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 6552000*s6*z2 + 
    1083600*li4half*z2^2 + 171150*ln2^4*z2^2 - 220500*ln2^2*z2^3 - 
    2956596*z2^4 - 4032000*li5half*z3 + 33600*ln2^5*z3 - 336000*ln2^3*z2*z3 + 
    1593900*ln2*z2^2*z3 + 283500*ln2^2*z3^2 - 283500*z2*z3^2 + 
    8835750*ln2*z2*z5 + 13127625*z3*z5)/1008000, 
 H[0, 1, -1, 0, 1, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 3010560000*li8half - 602112000*li7half*ln2 - 
    2352000*li4half*ln2^4 - 4200*ln2^8 + 476448000*ln2^2*s6 - 
    116928000*ln2*s7a + 57120000*ln2*s7b - 1017116100*s8a - 6660528000*s8b - 
    719040000*s8c - 607488000*s8d + 272832000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1685600*ln2^6*z2 + 
    1984080000*s6*z2 - 96096000*li4half*z2^2 + 15674400*ln2^4*z2^2 - 
    114055200*ln2^2*z2^3 + 128400264*z2^4 + 1177344000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 11869200*ln2^5*z3 + 114576000*ln2^3*z2*z3 + 
    834582000*ln2*z2^2*z3 - 45045000*ln2^2*z3^2 + 707301000*z2*z3^2 - 
    168609000*ln2^3*z5 + 1947288000*ln2*z2*z5 - 683581500*z3*z5 + 
    940183125*ln2*z7)/18816000, H[0, 1, -1, 0, 1, 1, 0, 1, 1] -> 
  (-376725*s8a + 496000*s8b - 160000*s6*z2 - 76800*li4half*z2^2 - 
    3200*ln2^4*z2^2 + 19200*ln2^2*z2^3 + 293744*z2^4 - 69000*ln2*z2^2*z3 + 
    527000*z2*z3^2 - 265500*ln2*z2*z5 - 2171625*z3*z5)/64000, 
 H[0, 1, -1, 0, 1, 1, 0, 0, 1] -> (1086225*s8a - 5208000*s8b - 672000*s6*z2 - 
    3225600*li4half*z2^2 - 134400*ln2^4*z2^2 + 806400*ln2^2*z2^3 - 
    118474*z2^4 + 441000*ln2*z2^2*z3 - 1690500*z2*z3^2 + 1449000*ln2*z2*z5 + 
    8234625*z3*z5)/672000, H[0, 1, -1, 0, 1, 1, 0, -1, 1] -> 
  (1290240*li4half^2 + 107520*li4half*ln2^4 + 2240*ln2^8 - 645120*ln2^2*s6 + 
    645120*ln2*s7a + 645120*ln2*s7b - 118440*s8a + 1048320*s8b - 
    645120*li4half*ln2^2*z2 - 26880*ln2^6*z2 - 201600*s6*z2 - 
    1145088*li4half*z2^2 + 32928*ln2^4*z2^2 + 399168*ln2^2*z2^3 + 
    504360*z2^4 + 2257920*li4half*ln2*z3 + 94080*ln2^5*z3 - 
    564480*ln2^3*z2*z3 - 1069992*ln2*z2^2*z3 + 806400*ln2^2*z3^2 + 
    279090*z2*z3^2 - 1694700*ln2*z2*z5 - 1708560*z3*z5 + 1900395*ln2*z7)/
   161280, H[0, 1, -1, 0, 1, 1, -1, 1, 1] -> 
  (1128960*li4half^2 + 25804800*li8half - 1290240*li6half*ln2^2 + 
    94080*li4half*ln2^4 + 808*ln2^8 - 4502400*ln2^2*s6 + 10556175*s8a + 
    67865280*s8b + 7875840*s8c + 6155520*s8d - 2580480*li6half*z2 + 
    645120*li5half*ln2*z2 + 564480*li4half*ln2^2*z2 + 23520*ln2^6*z2 - 
    20643840*s6*z2 + 572544*li4half*z2^2 - 283248*ln2^4*z2^2 + 
    1282560*ln2^2*z2^3 - 827568*z2^4 - 12942720*li5half*z3 + 
    107856*ln2^5*z3 - 866880*ln2^3*z2*z3 - 9192456*ln2*z2^2*z3 - 
    834120*ln2^2*z3^2 - 7292040*z2*z3^2 - 24756480*ln2*z2*z5 + 8663235*z3*z5)/
   107520, H[0, 1, -1, 0, 1, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    2688000*ln2^2*s6 - 4187400*s8a - 37128000*s8b - 5376000*s8c - 
    2688000*s8d + 8064000*li6half*z2 + 4032000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 145600*ln2^6*z2 + 12936000*s6*z2 + 
    2788800*li4half*z2^2 - 219800*ln2^4*z2^2 - 1696800*ln2^2*z2^3 - 
    3614714*z2^4 + 15120000*li5half*z3 - 126000*ln2^5*z3 + 
    1260000*ln2^3*z2*z3 + 8694000*ln2*z2^2*z3 + 756000*ln2^2*z3^2 + 
    1315125*z2*z3^2 + 15246000*ln2*z2*z5 - 5145000*z3*z5)/672000, 
 H[0, 1, -1, 0, 1, 1, -1, -1, 1] -> 
  (225792000*li4half^2 - 4515840000*li8half + 1806336000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 18816000*li4half*ln2^4 + 862400*ln2^8 + 
    539280000*ln2^2*s6 + 661248000*ln2*s7a - 227808000*ln2*s7b - 
    2358409725*s8a - 13559112000*s8b - 1808352000*s8c - 1155168000*s8d + 
    28224000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    282240000*li4half*ln2^2*z2 - 15876000*ln2^6*z2 + 3749760000*s6*z2 - 
    428601600*li4half*z2^2 + 116088000*ln2^4*z2^2 - 19303200*ln2^2*z2^3 + 
    275648544*z2^4 + 2232720000*li5half*z3 + 592704000*li4half*ln2*z3 + 
    6090000*ln2^5*z3 - 36204000*ln2^3*z2*z3 + 1661851800*ln2*z2^2*z3 + 
    937314000*ln2^2*z3^2 + 1888992000*z2*z3^2 + 861273000*ln2^3*z5 + 
    6247710000*ln2*z2*z5 - 2416199625*z3*z5 - 2858585625*ln2*z7)/56448000, 
 H[0, 1, -1, 0, 1, 0, 1, 1, 1] -> (288000*li4half^2 + 24000*li4half*ln2^4 + 
    500*ln2^8 + 144000*ln2^2*s6 - 14775*s8a + 18000*s8b - 288000*s8c + 
    288000*s8d + 288000*li5half*ln2*z2 + 144000*li4half*ln2^2*z2 + 
    3600*ln2^6*z2 - 768000*s6*z2 - 110400*li4half*z2^2 - 34600*ln2^4*z2^2 + 
    34800*ln2^2*z2^3 - 225699*z2^4 - 576000*li5half*z3 + 4800*ln2^5*z3 + 
    78000*ln2^3*z2*z3 + 133200*ln2*z2^2*z3 + 40500*ln2^2*z3^2 + 
    9000*z2*z3^2 + 781875*ln2*z2*z5 + 1320000*z3*z5)/48000, 
 H[0, 1, -1, 0, 1, 0, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    4032000*ln2^2*s6 + 2790900*s8a + 5040000*s8b + 8064000*s8c - 
    8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 
    20160000*s6*z2 + 1713600*li4half*z2^2 - 432600*ln2^4*z2^2 - 
    630000*ln2^2*z2^3 + 5549769*z2^4 + 16128000*li5half*z3 - 
    134400*ln2^5*z3 + 1344000*ln2^3*z2*z3 - 5619600*ln2*z2^2*z3 - 
    1134000*ln2^2*z3^2 - 1890000*z2*z3^2 - 32886000*ln2*z2*z5 - 
    26838000*z3*z5)/1008000, H[0, 1, -1, 0, 1, 0, 1, -1, 1] -> 
  (4896000*ln2^2*s6 + 1824000*ln2*s7a + 7200000*ln2*s7b - 15500100*s8a - 
    59808000*s8b - 13440000*s8c - 2688000*s8d - 16128000*li6half*z2 - 
    22400*ln2^6*z2 + 8064000*s6*z2 - 537600*li4half*z2^2 + 
    313600*ln2^4*z2^2 + 145200*ln2^2*z2^3 + 1478784*z2^4 + 
    5376000*li5half*z3 - 44800*ln2^5*z3 - 1904000*ln2^3*z2*z3 + 
    4402200*ln2*z2^2*z3 + 4170000*ln2^2*z3^2 + 16243500*z2*z3^2 - 
    5208000*ln2^3*z5 + 14954250*ln2*z2*z5 - 20580000*z3*z5 + 44956125*ln2*z7)/
   672000, H[0, 1, -1, 0, 1, 0, 0, 1, 1] -> 
  (-37275*s8a - 124000*s8b + 64000*s6*z2 + 19200*li4half*z2^2 + 
    800*ln2^4*z2^2 - 4800*ln2^2*z2^3 + 1146*z2^4 + 9000*ln2*z2^2*z3 - 
    11000*z2*z3^2 + 38250*ln2*z2*z5 - 4875*z3*z5)/16000, 
 H[0, 1, -1, 0, 1, 0, 0, 0, 1] -> 
  (387975*s8a - 672000*s6*z2 + 806400*li4half*z2^2 + 33600*ln2^4*z2^2 - 
    201600*ln2^2*z2^3 - 657749*z2^4 + 567000*ln2*z2^2*z3 + 346500*z2*z3^2 + 
    945000*ln2*z2*z5 + 1089375*z3*z5)/168000, 
 H[0, 1, -1, 0, 1, 0, 0, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    56448000*ln2^2*s6 - 129024000*ln2*s7a - 129024000*ln2*s7b + 
    89693100*s8a - 153216000*s8b + 145152000*s8c - 145152000*s8d + 
    56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 212688000*s6*z2 + 
    71164800*li4half*z2^2 - 4090800*ln2^4*z2^2 - 43999200*ln2^2*z2^3 + 
    3749166*z2^4 + 290304000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    10651200*ln2^5*z3 + 73584000*ln2^3*z2*z3 + 157789800*ln2*z2^2*z3 - 
    181692000*ln2^2*z3^2 - 87916500*z2*z3^2 + 155893500*ln2*z2*z5 - 
    133536375*z3*z5 - 720121500*ln2*z7)/14112000, 
 H[0, 1, -1, 0, 1, 0, -1, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    40320000*ln2^2*s6 + 91201425*s8a + 356664000*s8b + 43008000*s8c + 
    69888000*s8d - 225792000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 
    470400*ln2^6*z2 - 177408000*s6*z2 + 79833600*li4half*z2^2 + 
    5678400*ln2^4*z2^2 - 21420000*ln2^2*z2^3 - 41278812*z2^4 + 
    57792000*li5half*z3 - 481600*ln2^5*z3 + 4816000*ln2^3*z2*z3 + 
    23805600*ln2*z2^2*z3 - 25746000*ln2^2*z3^2 - 104874000*z2*z3^2 + 
    82876500*ln2*z2*z5 + 192465000*z3*z5)/9408000, 
 H[0, 1, -1, 0, 1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 4438350*s8a + 7056000*s8b + 8064000*s8c - 
    8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    14112000*s6*z2 - 4939200*li4half*z2^2 + 298200*ln2^4*z2^2 + 
    1033200*ln2^2*z2^3 + 4631661*z2^4 - 12096000*li5half*z3 + 
    100800*ln2^5*z3 - 1008000*ln2^3*z2*z3 - 9487800*ln2*z2^2*z3 - 
    1134000*ln2^2*z3^2 - 2362500*z2*z3^2 - 27216000*ln2*z2*z5 + 
    4370625*z3*z5)/1008000, H[0, 1, -1, 0, 1, 0, -1, -1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 - 
    5644800*ln2^2*s6 - 26611200*ln2*s7a - 71769600*ln2*s7b + 80028900*s8a + 
    232646400*s8b + 87091200*s8c - 19353600*s8d + 101606400*li6half*z2 + 
    67737600*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 752640*ln2^6*z2 + 
    42940800*s6*z2 + 15886080*li4half*z2^2 - 1454880*ln2^4*z2^2 - 
    5160960*ln2^2*z2^3 - 3871656*z2^4 - 806400*li5half*z3 - 
    59270400*li4half*ln2*z3 - 2462880*ln2^5*z3 + 14750400*ln2^3*z2*z3 - 
    3122280*ln2*z2^2*z3 - 33692400*ln2^2*z3^2 - 92616300*z2*z3^2 + 
    43747200*ln2^3*z5 - 95608800*ln2*z2*z5 + 81570825*z3*z5 - 
    375183900*ln2*z7)/5644800, H[0, 1, -1, 0, 1, -1, 1, 1, 1] -> 
  (-11854080*li4half^2 - 180633600*li8half - 3010560*li5half*ln2^3 - 
    987840*li4half*ln2^4 + 28*ln2^8 + 26933760*ln2^2*s6 - 71815590*s8a - 
    452269440*s8b - 53867520*s8c - 38142720*s8d + 67737600*li6half*z2 + 
    564480*li5half*ln2*z2 - 2540160*li4half*ln2^2*z2 - 141904*ln2^6*z2 + 
    156723840*s6*z2 - 2181312*li4half*z2^2 + 2051784*ln2^4*z2^2 - 
    12113136*ln2^2*z2^3 - 832716*z2^4 + 80801280*li5half*z3 - 
    673344*ln2^5*z3 + 6733440*ln2^3*z2*z3 + 60702264*ln2*z2^2*z3 + 
    7575120*ln2^2*z3^2 + 39783240*z2*z3^2 + 4283580*ln2^3*z5 + 
    161823060*ln2*z2*z5 - 49122675*z3*z5)/1128960, 
 H[0, 1, -1, 0, 1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    72576000*ln2^2*s6 + 138688200*s8a + 682920000*s8b + 145152000*s8c + 
    24192000*s8d - 338688000*li6half*z2 - 141120000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 281232000*s6*z2 - 
    4334400*li4half*z2^2 - 1356600*ln2^4*z2^2 + 44793000*ln2^2*z2^3 + 
    70498842*z2^4 - 217728000*li5half*z3 + 1814400*ln2^5*z3 - 
    18144000*ln2^3*z2*z3 - 163220400*ln2*z2^2*z3 - 20412000*ln2^2*z3^2 - 
    68292000*z2*z3^2 - 323386875*ln2*z2*z5 + 260111250*z3*z5)/7056000, 
 H[0, 1, -1, 0, 1, -1, 1, -1, 1] -> 
  (1806336000*li8half + 180633600*li7half*ln2 + 15052800*li5half*ln2^3 - 
    116480*ln2^8 - 318326400*ln2^2*s6 + 28022400*ln2*s7a - 69350400*ln2*s7b + 
    789629400*s8a + 4738406400*s8b + 580608000*s8c + 412876800*s8d + 
    45158400*li6half*z2 + 90316800*li5half*ln2*z2 + 
    33868800*li4half*ln2^2*z2 + 1473920*ln2^6*z2 - 1271692800*s6*z2 + 
    90478080*li4half*z2^2 - 12317760*ln2^4*z2^2 + 75388320*ln2^2*z2^3 - 
    107397216*z2^4 - 893491200*li5half*z3 - 59270400*li4half*ln2*z3 + 
    4976160*ln2^5*z3 - 59640000*ln2^3*z2*z3 - 609693840*ln2*z2^2*z3 - 
    46620000*ln2^2*z3^2 - 636904800*z2*z3^2 + 72912000*ln2^3*z5 - 
    1693603800*ln2*z2*z5 + 833505750*z3*z5 - 490907025*ln2*z7)/5644800, 
 H[0, 1, -1, 0, 1, -1, 0, 1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    8064000*ln2^2*s6 - 19859175*s8a + 32760000*s8b + 16128000*s8c - 
    16128000*s8d - 451584000*li6half*z2 + 75264000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1097600*ln2^6*z2 - 212352000*s6*z2 - 
    60614400*li4half*z2^2 - 8013600*ln2^4*z2^2 + 64982400*ln2^2*z2^3 + 
    87847092*z2^4 - 24192000*li5half*z3 + 201600*ln2^5*z3 - 
    2016000*ln2^3*z2*z3 - 29307600*ln2*z2^2*z3 - 2268000*ln2^2*z3^2 + 
    131082000*z2*z3^2 - 75432000*ln2*z2*z5 - 174620250*z3*z5)/9408000, 
 H[0, 1, -1, 0, 1, -1, 0, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    40320000*ln2^2*s6 - 8539650*s8a - 33264000*s8b - 80640000*s8c + 
    80640000*s8d + 56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 - 
    217728000*s6*z2 + 71164800*li4half*z2^2 - 4090800*ln2^4*z2^2 + 
    18244800*ln2^2*z2^3 - 75753474*z2^4 + 120960000*li5half*z3 - 
    1008000*ln2^5*z3 + 10080000*ln2^3*z2*z3 + 61425000*ln2*z2^2*z3 + 
    11340000*ln2^2*z3^2 + 50337000*z2*z3^2 + 355036500*ln2*z2*z5 + 
    29413125*z3*z5)/14112000, H[0, 1, -1, 0, 1, -1, 0, -1, 1] -> 
  (13440000*ln2^2*s6 - 2846550*s8a - 11088000*s8b - 26880000*s8c + 
    26880000*s8d - 451584000*li6half*z2 - 150528000*li5half*ln2*z2 + 
    627200*ln2^6*z2 - 317184000*s6*z2 + 8198400*li4half*z2^2 - 
    2794400*ln2^4*z2^2 + 21663600*ln2^2*z2^3 + 29594472*z2^4 + 
    40320000*li5half*z3 - 336000*ln2^5*z3 + 3360000*ln2^3*z2*z3 + 
    29295000*ln2*z2^2*z3 + 3780000*ln2^2*z3^2 + 117915000*z2*z3^2 + 
    323153250*ln2*z2*z5 - 37309125*z3*z5)/4704000, 
 H[0, 1, -1, 0, 1, -1, -1, 1, 1] -> 
  (-225792000*li4half^2 - 4515840000*li8half + 677376000*li6half*ln2^2 + 
    150528000*li5half*ln2^3 - 18816000*li4half*ln2^4 - 817600*ln2^8 + 
    968688000*ln2^2*s6 - 1623259575*s8a - 9284184000*s8b - 1203552000*s8c - 
    631008000*s8d - 2032128000*li6half*z2 - 1185408000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 + 6272000*ln2^6*z2 + 1078560000*s6*z2 - 
    24595200*li4half*z2^2 - 29248800*ln2^4*z2^2 - 116474400*ln2^2*z2^3 + 
    460476288*z2^4 + 2398032000*li5half*z3 - 19983600*ln2^5*z3 + 
    199836000*ln2^3*z2*z3 + 1527762600*ln2*z2^2*z3 - 65583000*ln2^2*z3^2 + 
    1739682000*z2*z3^2 - 214179000*ln2^3*z5 + 4859568000*ln2*z2*z5 - 
    2240035875*z3*z5)/56448000, H[0, 1, -1, 0, 1, -1, -1, 0, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    1612800*ln2^2*s6 - 25789050*s8a - 272563200*s8b - 3225600*s8c - 
    64512000*s8d + 203212800*li6half*z2 + 79027200*li5half*ln2*z2 + 
    11289600*li4half*ln2^2*z2 + 94080*ln2^6*z2 + 264499200*s6*z2 - 
    766080*li4half*z2^2 + 908880*ln2^4*z2^2 - 18547200*ln2^2*z2^3 - 
    14245068*z2^4 + 64108800*li5half*z3 - 534240*ln2^5*z3 + 
    5342400*ln2^3*z2*z3 + 17909640*ln2*z2^2*z3 + 453600*ln2^2*z3^2 - 
    30898350*z2*z3^2 - 67674600*ln2*z2*z5 - 50001525*z3*z5)/5644800, 
 H[0, 1, -1, 0, 1, -1, -1, -1, 1] -> 
  (11289600*li4half^2 - 903168000*li8half - 361267200*li7half*ln2 - 
    135475200*li6half*ln2^2 - 30105600*li5half*ln2^3 + 940800*li4half*ln2^4 + 
    131600*ln2^8 + 43344000*ln2^2*s6 - 48787200*ln2*s7a + 38707200*ln2*s7b - 
    183369375*s8a - 1436097600*s8b - 135878400*s8c - 106848000*s8d - 
    191923200*li6half*z2 - 16934400*li5half*ln2*z2 + 
    2822400*li4half*ln2^2*z2 - 572320*ln2^6*z2 + 193939200*s6*z2 - 
    29554560*li4half*z2^2 + 7047600*ln2^4*z2^2 + 21137760*ln2^2*z2^3 + 
    53915976*z2^4 + 243331200*li5half*z3 + 9878400*li4half*ln2*z3 - 
    1616160*ln2^5*z3 + 10399200*ln2^3*z2*z3 + 149806440*ln2*z2^2*z3 + 
    5090400*ln2^2*z3^2 + 192931200*z2*z3^2 - 41924400*ln2^3*z5 + 
    413708400*ln2*z2*z5 + 5299875*z3*z5 + 578714850*ln2*z7)/11289600, 
 H[0, 1, -1, 0, 0, 1, 1, 1, 1] -> (-28800*li4half^2 - 2400*li4half*ln2^4 - 
    50*ln2^8 - 14400*ln2^2*s6 + 10875*s8a + 38400*s8b + 28800*s8c - 
    28800*s8d - 28800*li5half*ln2*z2 - 14400*li4half*ln2^2*z2 - 
    360*ln2^6*z2 + 67200*s6*z2 + 34080*li4half*z2^2 + 4420*ln2^4*z2^2 - 
    9240*ln2^2*z2^3 + 10024*z2^4 + 57600*li5half*z3 - 480*ln2^5*z3 - 
    7800*ln2^3*z2*z3 - 11520*ln2*z2^2*z3 - 4050*ln2^2*z3^2 - 23700*z2*z3^2 - 
    71550*ln2*z2*z5 - 68325*z3*z5)/9600, H[0, 1, -1, 0, 0, 1, 1, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 + 1008000*ln2^2*s6 - 
    481950*s8a - 3150000*s8b - 2016000*s8c + 2016000*s8d - 
    1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 4536000*s6*z2 - 
    1940400*li4half*z2^2 + 45150*ln2^4*z2^2 + 535500*ln2^2*z2^3 - 
    848817*z2^4 - 4032000*li5half*z3 + 33600*ln2^5*z3 - 336000*ln2^3*z2*z3 + 
    1215900*ln2*z2^2*z3 + 283500*ln2^2*z3^2 + 1921500*z2*z3^2 + 
    7134750*ln2*z2*z5 + 3882375*z3*z5)/504000, 
 H[0, 1, -1, 0, 0, 1, 1, -1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 1881600*ln2^2*s6 - 
    2956800*ln2*s7a + 2688000*ln2*s7b + 14818650*s8a + 63873600*s8b + 
    9676800*s8c + 7257600*s8d + 5644800*li6half*z2 + 
    5644800*li4half*ln2^2*z2 + 243040*ln2^6*z2 - 23688000*s6*z2 - 
    3628800*li4half*z2^2 - 2032800*ln2^4*z2^2 + 4169760*ln2^2*z2^3 - 
    852592*z2^4 - 14515200*li5half*z3 + 9878400*li4half*ln2*z3 + 
    532560*ln2^5*z3 - 386400*ln2^3*z2*z3 - 12594960*ln2*z2^2*z3 - 
    5056800*ln2^2*z3^2 - 9462600*z2*z3^2 - 5468400*ln2^3*z5 - 
    16816800*ln2*z2*z5 + 22309350*z3*z5 - 17406375*ln2*z7)/1881600, 
 H[0, 1, -1, 0, 0, 1, 0, 1, 1] -> (629825*s8a + 224000*s8b - 224000*s6*z2 + 
    268800*li4half*z2^2 + 11200*ln2^4*z2^2 - 67200*ln2^2*z2^3 - 426688*z2^4 + 
    105000*ln2*z2^2*z3 - 707000*z2*z3^2 + 430500*ln2*z2*z5 + 2652125*z3*z5)/
   224000, H[0, 1, -1, 0, 0, 1, 0, 0, 1] -> 
  (-127925*s8a + 1176000*s8b + 672000*s6*z2 + 537600*li4half*z2^2 + 
    22400*ln2^4*z2^2 - 134400*ln2^2*z2^3 + 169462*z2^4 - 189000*ln2*z2^2*z3 - 
    283500*z2*z3^2 - 945000*ln2*z2*z5 - 1189125*z3*z5)/112000, 
 H[0, 1, -1, 0, 0, 1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 48716325*s8a + 
    2520000*s8b - 72576000*s8c + 72576000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 95760000*s6*z2 + 64612800*li4half*z2^2 - 
    835800*ln2^4*z2^2 - 12927600*ln2^2*z2^3 - 34555077*z2^4 - 
    145152000*li5half*z3 - 98784000*li4half*ln2*z3 - 2906400*ln2^5*z3 + 
    12600000*ln2^3*z2*z3 + 13406400*ln2*z2^2*z3 + 20286000*ln2^2*z3^2 + 
    30838500*z2*z3^2 + 98453250*ln2*z2*z5 + 139836375*z3*z5 + 
    141269625*ln2*z7)/7056000, H[0, 1, -1, 0, 0, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    53424000*ln2^2*s6 - 127587075*s8a - 680232000*s8b - 102144000*s8c - 
    81312000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    228480000*s6*z2 + 201600*li4half*z2^2 + 5300400*ln2^4*z2^2 - 
    33112800*ln2^2*z2^3 - 2316652*z2^4 + 162624000*li5half*z3 - 
    1355200*ln2^5*z3 + 13552000*ln2^3*z2*z3 + 113467200*ln2*z2^2*z3 + 
    15540000*ln2^2*z3^2 + 108948000*z2*z3^2 + 316354500*ln2*z2*z5 - 
    251616750*z3*z5)/4704000, H[0, 1, -1, 0, 0, 1, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 1660050*s8a - 
    1008000*s8b - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    6552000*s6*z2 - 3326400*li4half*z2^2 + 365400*ln2^4*z2^2 - 
    2570400*ln2^2*z2^3 + 2000277*z2^4 + 2268000*ln2*z2^2*z3 - 
    2016000*z2*z3^2 - 6567750*ln2*z2*z5 - 4630500*z3*z5)/1008000, 
 H[0, 1, -1, 0, 0, 1, -1, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 - 
    24998400*ln2^2*s6 + 8265600*ln2*s7a - 201600*ln2*s7b + 51319800*s8a + 
    325785600*s8b + 30643200*s8c + 54028800*s8d + 25401600*li6half*z2 + 
    7056000*li4half*ln2^2*z2 + 329280*ln2^6*z2 - 122522400*s6*z2 + 
    15744960*li4half*z2^2 - 1284360*ln2^4*z2^2 + 11234160*ln2^2*z2^3 - 
    11088894*z2^4 - 108057600*li5half*z3 - 14817600*li4half*ln2*z3 + 
    283080*ln2^5*z3 - 5300400*ln2^3*z2*z3 - 52063200*ln2*z2^2*z3 + 
    5317200*ln2^2*z3^2 - 49530600*z2*z3^2 + 8202600*ln2^3*z5 - 
    119517300*ln2*z2*z5 + 157136175*z3*z5 + 25129125*ln2*z7)/2822400, 
 H[0, 1, -1, 0, 0, 0, 1, 1, 1] -> (-212100*s8a - 714000*s8b + 672000*s6*z2 + 
    67200*li4half*z2^2 + 2800*ln2^4*z2^2 - 16800*ln2^2*z2^3 + 177269*z2^4 - 
    63000*ln2*z2^2*z3 + 294000*z2*z3^2 - 228375*ln2*z2*z5 - 1446375*z3*z5)/
   168000, H[0, 1, -1, 0, 0, 0, 1, 0, 1] -> 
  (-48600*s8a - 168000*s8b - 96000*s6*z2 - 115200*li4half*z2^2 - 
    4800*ln2^4*z2^2 + 28800*ln2^2*z2^3 - 8731*z2^4 + 18000*z2*z3^2 + 
    135000*ln2*z2*z5 + 258000*z3*z5)/24000, H[0, 1, -1, 0, 0, 0, 1, -1, 1] -> 
  (-53088000*ln2^2*s6 + 14784000*ln2*s7a - 22848000*ln2*s7b + 91123200*s8a + 
    425208000*s8b + 76608000*s8c + 36288000*s8d - 133728000*s6*z2 + 
    2788800*li4half*z2^2 + 116200*ln2^4*z2^2 + 23184000*ln2^2*z2^3 + 
    1887947*z2^4 - 72576000*li5half*z3 + 16464000*li4half*ln2*z3 + 
    1290800*ln2^5*z3 - 10164000*ln2^3*z2*z3 - 68520900*ln2*z2^2*z3 + 
    7707000*ln2^2*z3^2 - 76970250*z2*z3^2 + 36456000*ln2^3*z5 - 
    176856750*ln2*z2*z5 + 157668000*z3*z5 - 76468875*ln2*z7)/2352000, 
 H[0, 1, -1, 0, 0, 0, 0, 1, 1] -> (130200*s8a + 882000*s8b - 336000*s6*z2 + 
    134400*li4half*z2^2 + 5600*ln2^4*z2^2 - 33600*ln2^2*z2^3 - 1523*z2^4 + 
    63000*z2*z3^2 - 118125*ln2*z2*z5 - 462000*z3*z5)/84000, 
 H[0, 1, -1, 0, 0, 0, 0, 0, 1] -> (-12600*s8a - 168000*s8b + 11539*z2^4 + 
    42000*z3*z5)/28000, H[0, 1, -1, 0, 0, 0, 0, -1, 1] -> 
  (85050*s8a + 1008000*s8b - 134400*s6*z2 + 94080*li4half*z2^2 + 
    3920*ln2^4*z2^2 - 23520*ln2^2*z2^3 + 107812*z2^4 + 53550*z2*z3^2 + 
    94500*ln2*z2*z5 - 801675*z3*z5 - 1400175*ln2*z7)/67200, 
 H[0, 1, -1, 0, 0, 0, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    159264000*ln2^2*s6 - 281157975*s8a - 1337616000*s8b - 205632000*s8c - 
    133056000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    491904000*s6*z2 - 37900800*li4half*z2^2 + 1948800*ln2^4*z2^2 - 
    96415200*ln2^2*z2^3 + 14375604*z2^4 + 266112000*li5half*z3 - 
    2217600*ln2^5*z3 + 22176000*ln2^3*z2*z3 + 212133600*ln2*z2^2*z3 + 
    17010000*ln2^2*z3^2 + 220374000*z2*z3^2 + 624172500*ln2*z2*z5 - 
    556053750*z3*z5)/14112000, H[0, 1, -1, 0, 0, 0, -1, 0, 1] -> 
  (-61425*s8a - 2184000*s8b - 705600*li4half*z2^2 - 29400*ln2^4*z2^2 + 
    176400*ln2^2*z2^3 - 134618*z2^4 + 15750*z2*z3^2 + 1008000*ln2*z2*z5 + 
    2016000*z3*z5)/168000, H[0, 1, -1, 0, 0, 0, -1, -1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 + 2937600*ln2^2*s6 - 
    2534400*ln2*s7a + 3916800*ln2*s7b - 6307875*s8a - 37094400*s8b - 
    4032000*s8c - 5644800*s8d - 806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 + 
    15422400*s6*z2 - 2338560*li4half*z2^2 + 3360*ln2^4*z2^2 - 
    564480*ln2^2*z2^3 + 1058844*z2^4 + 11289600*li5half*z3 + 
    2822400*li4half*ln2*z3 + 23520*ln2^5*z3 + 235200*ln2^3*z2*z3 + 
    4402800*ln2*z2^2*z3 - 2260800*ln2^2*z3^2 + 5181750*z2*z3^2 - 
    6249600*ln2^3*z5 + 2770200*ln2*z2*z5 - 17469900*z3*z5 + 15109200*ln2*z7)/
   403200, H[0, 1, -1, 0, 0, -1, 1, 1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    59136000*ln2^2*s6 + 149435475*s8a + 825888000*s8b + 118272000*s8c + 
    98112000*s8d + 56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 
    117600*ln2^6*z2 - 280896000*s6*z2 - 17539200*li4half*z2^2 - 
    4846800*ln2^4*z2^2 + 44318400*ln2^2*z2^3 + 8872576*z2^4 - 
    196224000*li5half*z3 + 1635200*ln2^5*z3 - 16352000*ln2^3*z2*z3 - 
    137512200*ln2*z2^2*z3 - 16632000*ln2^2*z3^2 - 106197000*z2*z3^2 - 
    15190000*ln2^3*z5 - 392154000*ln2*z2*z5 + 216811875*z3*z5)/9408000, 
 H[0, 1, -1, 0, 0, -1, 1, 0, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 + 
    806400*li4half*ln2^2*z2 + 33600*ln2^6*z2 - 1209600*s6*z2 + 
    262080*li4half*z2^2 - 89880*ln2^4*z2^2 + 614880*ln2^2*z2^3 - 
    198927*z2^4 - 453600*ln2*z2^2*z3 + 453600*z2*z3^2 + 639450*ln2*z2*z5 + 
    875700*z3*z5)/201600, H[0, 1, -1, 0, 0, -1, 1, -1, 1] -> 
  (2016000*ln2^2*s6 + 1209600*ln2*s7a - 201600*ln2*s7b - 9925650*s8a - 
    60144000*s8b - 6451200*s8c - 8601600*s8d - 2822400*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 + 22377600*s6*z2 - 2378880*li4half*z2^2 + 
    606480*ln2^4*z2^2 - 2182320*ln2^2*z2^3 + 687208*z2^4 + 
    17203200*li5half*z3 + 4939200*li4half*ln2*z3 + 62440*ln2^5*z3 + 
    198800*ln2^3*z2*z3 + 7870800*ln2*z2^2*z3 + 2419200*ln2^2*z3^2 + 
    8601600*z2*z3^2 + 2126600*ln2^3*z5 + 22893150*ln2*z2*z5 - 
    24320100*z3*z5 + 3549525*ln2*z7)/470400, 
 H[0, 1, -1, 0, 0, -1, 0, 1, 1] -> 
  (572075*s8a + 1456000*s8b + 67200*li4half*z2^2 + 2800*ln2^4*z2^2 - 
    16800*ln2^2*z2^3 - 143688*z2^4 + 189000*ln2*z2^2*z3 - 1071000*z2*z3^2 - 
    1949500*ln2*z2*z5 + 2704625*z3*z5)/224000, 
 H[0, 1, -1, 0, 0, -1, 0, 0, 1] -> (-80325*s8a + 504000*s8b + 672000*s6*z2 + 
    470400*li4half*z2^2 + 19600*ln2^4*z2^2 - 117600*ln2^2*z2^3 + 
    166268*z2^4 + 189000*ln2*z2^2*z3 - 220500*z2*z3^2 - 1008000*ln2*z2*z5 - 
    1372875*z3*z5)/112000, H[0, 1, -1, 0, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b - 33000975*s8a + 
    96264000*s8b - 40320000*s8c + 40320000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 27720000*s6*z2 + 53928000*li4half*z2^2 - 
    1281000*ln2^4*z2^2 - 13885200*ln2^2*z2^3 + 1567899*z2^4 - 
    80640000*li5half*z3 - 98784000*li4half*ln2*z3 - 3444000*ln2^5*z3 + 
    17976000*ln2^3*z2*z3 + 27518400*ln2*z2^2*z3 - 4410000*ln2^2*z3^2 + 
    9292500*z2*z3^2 + 21498750*ln2*z2*z5 + 70875*z3*z5 - 155271375*ln2*z7)/
   7056000, H[0, 1, -1, 0, 0, -1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    17136000*ln2^2*s6 + 47251575*s8a + 268128000*s8b + 30240000*s8c + 
    34272000*s8d + 24192000*li5half*ln2*z2 + 10080000*li4half*ln2^2*z2 + 
    218400*ln2^6*z2 - 96768000*s6*z2 - 7459200*li4half*z2^2 - 
    2578800*ln2^4*z2^2 + 14464800*ln2^2*z2^3 - 757308*z2^4 - 
    89712000*li5half*z3 + 747600*ln2^5*z3 - 7476000*ln2^3*z2*z3 - 
    46821600*ln2*z2^2*z3 + 2898000*ln2^2*z3^2 - 42336000*z2*z3^2 + 
    6510000*ln2^3*z5 - 134379000*ln2*z2*z5 + 133119000*z3*z5)/4032000, 
 H[0, 1, -1, 0, 0, -1, -1, 0, 1] -> 
  (672000*ln2^2*s6 - 838950*s8a - 1680000*s8b - 1344000*s8c + 1344000*s8d - 
    2520000*s6*z2 + 100800*li4half*z2^2 + 4200*ln2^4*z2^2 + 8400*ln2^2*z2^3 - 
    641157*z2^4 - 336000*li5half*z3 + 2800*ln2^5*z3 - 28000*ln2^3*z2*z3 + 
    928200*ln2*z2^2*z3 + 189000*ln2^2*z3^2 + 1367625*z2*z3^2 + 
    5407500*ln2*z2*z5 - 656250*z3*z5)/336000, 
 H[0, 1, -1, 0, 0, -1, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    119952000*ln2^2*s6 + 2016000*ln2*s7a + 86688000*ln2*s7b - 224440650*s8a - 
    566496000*s8b - 215712000*s8c + 18144000*s8d - 169344000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 + 
    37800000*s6*z2 + 48787200*li4half*z2^2 - 5023200*ln2^4*z2^2 - 
    31147200*ln2^2*z2^3 + 21887256*z2^4 + 13104000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 4225200*ln2^5*z3 + 38136000*ln2^3*z2*z3 + 
    130447800*ln2*z2^2*z3 - 17199000*ln2^2*z3^2 + 218232000*z2*z3^2 - 
    127596000*ln2^3*z5 + 366691500*ln2*z2*z5 - 354540375*z3*z5 + 
    157405500*ln2*z7)/28224000, H[0, 1, -1, 0, -1, 1, 1, 1, 1] -> 
  (10348800*li4half^2 + 75264000*li8half + 235200*li4half*ln2^4 - 
    6300*ln2^8 - 16329600*ln2^2*s6 + 32019225*s8a + 137457600*s8b + 
    32659200*s8c - 7257600*s8d - 52684800*li6half*z2 + 
    11289600*li5half*ln2*z2 + 1411200*li4half*ln2^2*z2 - 3920*ln2^6*z2 - 
    21705600*s6*z2 - 6108480*li4half*z2^2 - 399560*ln2^4*z2^2 + 
    9251760*ln2^2*z2^3 + 10208484*z2^4 - 19353600*li5half*z3 + 
    161280*ln2^5*z3 - 5317200*ln2^3*z2*z3 - 29708280*ln2*z2^2*z3 - 
    4592700*ln2^2*z3^2 - 22260000*z2*z3^2 - 111736800*ln2*z2*z5 + 
    22955625*z3*z5)/1881600, H[0, 1, -1, 0, -1, 1, 1, 0, 1] -> 
  (53088000*ln2^2*s6 - 76498275*s8a - 224784000*s8b - 106176000*s8c + 
    49728000*s8d + 112896000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    9408000*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 28896000*s6*z2 + 
    9710400*li4half*z2^2 + 2756600*ln2^4*z2^2 - 23394000*ln2^2*z2^3 - 
    48839234*z2^4 + 69888000*li5half*z3 + 4704000*li4half*ln2*z3 - 
    386400*ln2^5*z3 + 4648000*ln2^3*z2*z3 + 105256200*ln2*z2^2*z3 + 
    14931000*ln2^2*z3^2 + 72355500*z2*z3^2 + 312354000*ln2*z2*z5 - 
    136602375*z3*z5)/4704000, H[0, 1, -1, 0, -1, 1, 1, -1, 1] -> 
  (-112896000*li4half^2 + 6773760000*li8half + 1806336000*li7half*ln2 + 
    9408000*li4half*ln2^4 + 397600*ln2^8 - 911232000*ln2^2*s6 + 
    153216000*ln2*s7a - 368928000*ln2*s7b + 2511948600*s8a + 
    15900192000*s8b + 1516032000*s8c + 1701504000*s8d - 
    1185408000*li6half*z2 - 1693440000*li5half*ln2*z2 - 
    225792000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 5844384000*s6*z2 + 
    385459200*li4half*z2^2 - 36859200*ln2^4*z2^2 + 43092000*ln2^2*z2^3 - 
    459352224*z2^4 - 2274048000*li5half*z3 + 197568000*li4half*ln2*z3 + 
    27182400*ln2^5*z3 - 90720000*ln2^3*z2*z3 - 1556226000*ln2*z2^2*z3 - 
    21672000*ln2^2*z3^2 - 1435581000*z2*z3^2 + 505827000*ln2^3*z5 - 
    1000503000*ln2*z2*z5 + 1561077000*z3*z5 - 4562940375*ln2*z7)/56448000, 
 H[0, 1, -1, 0, -1, 1, 0, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    20160000*ln2^2*s6 - 19881225*s8a - 9576000*s8b - 40320000*s8c + 
    40320000*s8d + 169344000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 705600*ln2^6*z2 + 504000*s6*z2 + 
    67334400*li4half*z2^2 + 6333600*ln2^4*z2^2 - 53499600*ln2^2*z2^3 - 
    49527936*z2^4 + 32256000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    856800*ln2^5*z3 + 6216000*ln2^3*z2*z3 + 38606400*ln2*z2^2*z3 + 
    5670000*ln2^2*z3^2 - 4378500*z2*z3^2 + 288650250*ln2*z2*z5 - 
    23302125*z3*z5)/7056000, H[0, 1, -1, 0, -1, 1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    20160000*ln2^2*s6 + 19881225*s8a + 9576000*s8b + 40320000*s8c - 
    40320000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    108864000*s6*z2 - 72273600*li4half*z2^2 + 516600*ln2^4*z2^2 + 
    50400*ln2^2*z2^3 + 37063491*z2^4 - 145152000*li5half*z3 - 
    42336000*li4half*ln2*z3 - 554400*ln2^5*z3 - 1512000*ln2^3*z2*z3 - 
    78472800*ln2*z2^2*z3 - 5670000*ln2^2*z3^2 - 38398500*z2*z3^2 - 
    166934250*ln2*z2*z5 + 165745125*z3*z5)/7056000, 
 H[0, 1, -1, 0, -1, 1, 0, -1, 1] -> (-6720000*ln2^2*s6 + 18816000*ln2*s7a + 
    18816000*ln2*s7b - 16238775*s8a + 840000*s8b - 24192000*s8c + 
    24192000*s8d + 197568000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    4704000*li4half*ln2^2*z2 - 392000*ln2^6*z2 + 66276000*s6*z2 + 
    2486400*li4half*z2^2 + 1867600*ln2^4*z2^2 - 8244600*ln2^2*z2^3 - 
    31438224*z2^4 - 86016000*li5half*z3 + 4704000*li4half*ln2*z3 + 
    912800*ln2^5*z3 - 8344000*ln2^3*z2*z3 - 29332800*ln2*z2^2*z3 + 
    26922000*ln2^2*z3^2 - 26544000*z2*z3^2 - 72770250*ln2*z2*z5 + 
    85420125*z3*z5 + 149940000*ln2*z7)/2352000, 
 H[0, 1, -1, 0, -1, 1, -1, 1, 1] -> (16934400*li4half^2 - 790272000*li8half + 
    33868800*li6half*ln2^2 + 2352000*li4half*ln2^4 + 96040*ln2^8 + 
    134164800*ln2^2*s6 - 338220225*s8a - 2087265600*s8b - 227404800*s8c - 
    212889600*s8d + 146764800*li6half*z2 + 67737600*li5half*ln2*z2 + 
    2822400*li4half*ln2^2*z2 - 635040*ln2^6*z2 + 710136000*s6*z2 - 
    51891840*li4half*z2^2 + 5764080*ln2^4*z2^2 - 32382000*ln2^2*z2^3 + 
    43963452*z2^4 + 352396800*li5half*z3 + 5644800*li4half*ln2*z3 - 
    2701440*ln2^5*z3 + 27955200*ln2^3*z2*z3 + 254230200*ln2*z2^2*z3 + 
    24305400*ln2^2*z3^2 + 230441400*z2*z3^2 + 621621000*ln2*z2*z5 - 
    336396375*z3*z5)/2822400, H[0, 1, -1, 0, -1, 1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    8064000*ln2^2*s6 + 46875150*s8a + 327348000*s8b + 16128000*s8c + 
    68544000*s8d - 127008000*li6half*z2 - 42336000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 - 227934000*s6*z2 + 
    28173600*li4half*z2^2 - 3236100*ln2^4*z2^2 + 16222500*ln2^2*z2^3 - 
    1143831*z2^4 - 80640000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    504000*ln2^5*z3 + 336000*ln2^3*z2*z3 - 29836800*ln2*z2^2*z3 - 
    2268000*ln2^2*z3^2 - 12867750*z2*z3^2 - 23247000*ln2*z2*z5 + 
    134741250*z3*z5)/3528000, H[0, 1, -1, 0, -1, 1, -1, -1, 1] -> 
  (-94080000*li4half^2 + 2257920000*li8half - 602112000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 14112000*li4half*ln2^4 - 562800*ln2^8 - 
    403872000*ln2^2*s6 - 38976000*ln2*s7a + 257376000*ln2*s7b + 
    1031261700*s8a + 6833232000*s8b + 612864000*s8c + 854784000*s8d + 
    225792000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 2391200*ln2^6*z2 - 2212896000*s6*z2 + 
    236342400*li4half*z2^2 - 25667600*ln2^4*z2^2 + 70879200*ln2^2*z2^3 - 
    265596648*z2^4 - 1709568000*li5half*z3 - 87024000*li4half*ln2*z3 + 
    10620400*ln2^5*z3 - 120708000*ln2^3*z2*z3 - 1035451200*ln2*z2^2*z3 - 
    83748000*ln2^2*z3^2 - 839790000*z2*z3^2 - 287091000*ln2^3*z5 - 
    2755158000*ln2*z2*z5 + 1762834500*z3*z5 + 2048668125*ln2*z7)/18816000, 
 H[0, 1, -1, 0, -1, 0, 1, 1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 + 4032000*ln2^2*s6 - 
    5529825*s8a - 2721600*s8b - 8064000*s8c + 8064000*s8d + 
    4838400*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 127680*ln2^6*z2 - 
    16128000*s6*z2 - 403200*li4half*z2^2 - 722400*ln2^4*z2^2 + 
    302400*ln2^2*z2^3 - 2642076*z2^4 - 3225600*li5half*z3 + 
    806400*li4half*ln2*z3 + 60480*ln2^5*z3 + 1646400*ln2^3*z2*z3 + 
    5430600*ln2*z2^2*z3 + 1134000*ln2^2*z3^2 + 7736400*z2*z3^2 + 
    20298600*ln2*z2*z5 - 5996025*z3*z5)/806400, 
 H[0, 1, -1, 0, -1, 0, 1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    12096000*ln2^2*s6 + 10650150*s8a + 1008000*s8b + 24192000*s8c - 
    24192000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    48384000*s6*z2 - 11793600*li4half*z2^2 + 12600*ln2^4*z2^2 + 
    2343600*ln2^2*z2^3 + 12719349*z2^4 + 16128000*li5half*z3 + 
    12096000*li4half*ln2*z3 + 369600*ln2^5*z3 - 1680000*ln2^3*z2*z3 - 
    17564400*ln2*z2^2*z3 - 3402000*ln2^2*z3^2 - 17199000*z2*z3^2 - 
    75600000*ln2*z2*z5 - 6914250*z3*z5)/1008000, 
 H[0, 1, -1, 0, -1, 0, 1, -1, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    19440000*ln2^2*s6 + 5328000*ln2*s7a - 2736000*ln2*s7b + 23999850*s8a + 
    87696000*s8b + 28224000*s8c - 4032000*s8d - 24192000*li6half*z2 + 
    24192000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 - 67200*ln2^6*z2 - 
    14112000*s6*z2 - 12096000*li4half*z2^2 + 14536800*ln2^2*z2^3 + 
    10859616*z2^4 - 8064000*li5half*z3 + 13104000*li4half*ln2*z3 + 
    613200*ln2^5*z3 - 7476000*ln2^3*z2*z3 - 23852700*ln2*z2^2*z3 + 
    2691000*ln2^2*z3^2 - 21183750*z2*z3^2 + 7812000*ln2^3*z5 - 
    114986250*ln2*z2*z5 + 30507750*z3*z5 + 13327875*ln2*z7)/1008000, 
 H[0, 1, -1, 0, -1, 0, 0, 1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    8064000*ln2^2*s6 - 5076225*s8a + 5040000*s8b - 16128000*s8c + 
    16128000*s8d + 8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 - 
    32256000*s6*z2 + 15321600*li4half*z2^2 - 369600*ln2^4*z2^2 - 
    3427200*ln2^2*z2^3 - 10803456*z2^4 - 12096000*li4half*ln2*z3 - 
    504000*ln2^5*z3 + 3024000*ln2^3*z2*z3 + 13645800*ln2*z2^2*z3 + 
    2268000*ln2^2*z3^2 + 6930000*z2*z3^2 + 49423500*ln2*z2*z5 + 
    8827875*z3*z5)/2016000, H[0, 1, -1, 0, -1, 0, 0, 0, 1] -> 
  (-5400*s8a - 72000*s8b - 48000*s6*z2 + 24000*li4half*z2^2 + 
    1000*ln2^4*z2^2 - 6000*ln2^2*z2^3 - 14159*z2^4 + 54000*ln2*z2^2*z3 + 
    27000*z2*z3^2 + 72000*ln2*z2*z5 - 38250*z3*z5)/12000, 
 H[0, 1, -1, 0, -1, 0, 0, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    5644800*ln2^2*s6 - 9676800*ln2*s7a - 9676800*ln2*s7b + 7374150*s8a + 
    8265600*s8b + 8064000*s8c - 8064000*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 + 5544000*s6*z2 + 6995520*li4half*z2^2 - 
    414120*ln2^4*z2^2 - 3643920*ln2^2*z2^3 + 1258623*z2^4 + 
    33062400*li5half*z3 - 11289600*li4half*ln2*z3 - 745920*ln2^5*z3 + 
    5577600*ln2^3*z2*z3 + 16158240*ln2*z2^2*z3 - 13230000*ln2^2*z3^2 - 
    1571850*z2*z3^2 + 28113750*ln2*z2*z5 - 39351375*z3*z5 - 91113750*ln2*z7)/
   1411200, H[0, 1, -1, 0, -1, 0, -1, 1, 1] -> 
  (-197568000*li4half^2 - 16464000*li4half*ln2^4 - 343000*ln2^8 + 
    100800000*ln2^2*s6 - 128049075*s8a - 368928000*s8b - 173376000*s8c + 
    88704000*s8d - 338688000*li5half*ln2*z2 - 70560000*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 - 92736000*s6*z2 + 137692800*li4half*z2^2 + 
    7501200*ln2^4*z2^2 - 102034800*ln2^2*z2^3 - 76717152*z2^4 + 
    154224000*li5half*z3 - 56448000*li4half*ln2*z3 - 3637200*ln2^5*z3 + 
    26964000*ln2^3*z2*z3 + 172128600*ln2*z2^2*z3 + 17545500*ln2^2*z3^2 + 
    113935500*z2*z3^2 + 837978750*ln2*z2*z5 - 160886250*z3*z5)/7056000, 
 H[0, 1, -1, 0, -1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 4107600*s8a - 1680000*s8b + 8064000*s8c - 
    8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    15456000*s6*z2 - 6417600*li4half*z2^2 + 236600*ln2^4*z2^2 + 
    1402800*ln2^2*z2^3 + 4233891*z2^4 - 1344000*li5half*z3 + 
    5376000*li4half*ln2*z3 + 235200*ln2^5*z3 - 1456000*ln2^3*z2*z3 - 
    6636000*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 5008500*z2*z3^2 - 
    23184000*ln2*z2*z5 + 2467500*z3*z5)/336000, 
 H[0, 1, -1, 0, -1, 0, -1, -1, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 + 
    28224000*ln2^2*s6 - 205632000*ln2*s7a + 20160000*ln2*s7b - 9550800*s8a - 
    1424304000*s8b + 241920000*s8c - 580608000*s8d + 508032000*li6half*z2 + 
    338688000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 3292800*ln2^6*z2 + 
    1418760000*s6*z2 - 288288000*li4half*z2^2 - 1428000*ln2^4*z2^2 + 
    1814400*ln2^2*z2^3 + 138126132*z2^4 + 1020096000*li5half*z3 + 
    324576000*li4half*ln2*z3 + 5023200*ln2^5*z3 + 3864000*ln2^3*z2*z3 + 
    157348800*ln2*z2^2*z3 - 263718000*ln2^2*z3^2 - 115510500*z2*z3^2 - 
    218736000*ln2^3*z5 - 805266000*ln2*z2*z5 - 1149340500*z3*z5 - 
    255929625*ln2*z7)/28224000, H[0, 1, -1, 0, -1, -1, 1, 1, 1] -> 
  (84672000*li4half^2 + 3386880000*li8half + 75264000*li5half*ln2^3 + 
    16464000*li4half*ln2^4 - 4200*ln2^8 - 327600000*ln2^2*s6 + 
    1074509100*s8a + 7454160000*s8b + 655200000*s8c + 883008000*s8d - 
    903168000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    63504000*li4half*ln2^2*z2 + 3430000*ln2^6*z2 - 2894976000*s6*z2 + 
    129326400*li4half*z2^2 - 37182600*ln2^4*z2^2 + 122169600*ln2^2*z2^3 - 
    167018364*z2^4 - 1483776000*li5half*z3 - 28224000*li4half*ln2*z3 + 
    11188800*ln2^5*z3 - 61026000*ln2^3*z2*z3 - 843708600*ln2*z2^2*z3 - 
    92137500*ln2^2*z3^2 - 565929000*z2*z3^2 - 93418500*ln2^3*z5 - 
    1868580000*ln2*z2*z5 + 896214375*z3*z5)/28224000, 
 H[0, 1, -1, 0, -1, -1, 1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    10080000*ln2^2*s6 - 3579975*s8a - 85680000*s8b + 20160000*s8c - 
    44352000*s8d + 48384000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 - 336000*ln2^6*z2 + 116928000*s6*z2 - 
    21974400*li4half*z2^2 + 428400*ln2^4*z2^2 - 1814400*ln2^2*z2^3 + 
    12610014*z2^4 + 64512000*li5half*z3 + 26208000*li4half*ln2*z3 + 
    554400*ln2^5*z3 - 1176000*ln2^3*z2*z3 - 5077800*ln2*z2^2*z3 - 
    2835000*ln2^2*z3^2 - 15970500*z2*z3^2 - 85176000*ln2*z2*z5 - 
    69559875*z3*z5)/2016000, H[0, 1, -1, 0, -1, -1, 1, -1, 1] -> 
  (169344000*li4half^2 - 3951360000*li8half - 451584000*li7half*ln2 - 
    37632000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 403200*ln2^8 + 
    591192000*ln2^2*s6 - 79128000*ln2*s7a + 164304000*ln2*s7b - 
    1606109400*s8a - 10199952000*s8b - 1024128000*s8c - 1078560000*s8d - 
    63504000*li6half*z2 + 70560000*li5half*ln2*z2 - 
    63504000*li4half*ln2^2*z2 - 4419800*ln2^6*z2 + 3153780000*s6*z2 - 
    346248000*li4half*z2^2 + 24704400*ln2^4*z2^2 - 81106200*ln2^2*z2^3 + 
    342559656*z2^4 + 2128896000*li5half*z3 + 273420000*li4half*ln2*z3 - 
    6348300*ln2^5*z3 + 72009000*ln2^3*z2*z3 + 1198026900*ln2*z2^2*z3 + 
    45108000*ln2^2*z3^2 + 1190684250*z2*z3^2 - 189115500*ln2^3*z5 + 
    2424807000*ln2*z2*z5 - 1858492125*z3*z5 + 1585528875*ln2*z7)/14112000, 
 H[0, 1, -1, 0, -1, -1, 0, 1, 1] -> 
  (3432450*s8a + 8736000*s8b + 32256000*li6half*z2 + 
    21504000*li5half*ln2*z2 + 5376000*li4half*ln2^2*z2 + 89600*ln2^6*z2 + 
    15456000*s6*z2 + 1915200*li4half*z2^2 - 144200*ln2^4*z2^2 - 
    478800*ln2^2*z2^3 - 5303448*z2^4 - 13440000*li5half*z3 - 
    6720000*li4half*ln2*z3 - 168000*ln2^5*z3 + 560000*ln2^3*z2*z3 - 
    1533000*ln2*z2^2*z3 - 11424000*z2*z3^2 - 28360500*ln2*z2*z5 + 
    26767125*z3*z5)/1344000, H[0, 1, -1, 0, -1, -1, 0, 0, 1] -> 
  (-3225600*li4half^2 - 268800*li4half*ln2^4 - 5600*ln2^8 + 
    1612800*ln2^2*s6 - 1929375*s8a - 1411200*s8b - 3225600*s8c + 
    3225600*s8d + 1612800*li4half*ln2^2*z2 + 67200*ln2^6*z2 - 6048000*s6*z2 + 
    4092480*li4half*z2^2 - 31080*ln2^4*z2^2 - 942480*ln2^2*z2^3 - 
    1933656*z2^4 - 1612800*li5half*z3 - 3225600*li4half*ln2*z3 - 
    120960*ln2^5*z3 + 672000*ln2^3*z2*z3 + 4692240*ln2*z2^2*z3 + 
    453600*ln2^2*z3^2 + 2381400*z2*z3^2 + 9374400*ln2*z2*z5 - 2044350*z3*z5)/
   403200, H[0, 1, -1, 0, -1, -1, 0, -1, 1] -> 
  (-32256000*li4half^2 - 2688000*li4half*ln2^4 - 56000*ln2^8 + 
    16128000*ln2^2*s6 - 16128000*ln2*s7a - 16128000*ln2*s7b + 1919925*s8a + 
    32256000*s8b + 24192000*li6half*z2 + 16128000*li5half*ln2*z2 + 
    20160000*li4half*ln2^2*z2 + 739200*ln2^6*z2 + 11592000*s6*z2 + 
    26812800*li4half*z2^2 - 1066800*ln2^4*z2^2 - 9525600*ln2^2*z2^3 - 
    3061062*z2^4 - 8064000*li5half*z3 - 60480000*li4half*ln2*z3 - 
    2452800*ln2^5*z3 + 14448000*ln2^3*z2*z3 + 24091200*ln2*z2^2*z3 - 
    20160000*ln2^2*z3^2 - 4284000*z2*z3^2 + 35721000*ln2*z2*z5 - 
    16206750*z3*z5 - 161524125*ln2*z7)/2016000, 
 H[0, 1, -1, 0, -1, -1, -1, 1, 1] -> 
  (-77616000*li4half^2 + 846720000*li8half - 84672000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 8820000*li4half*ln2^4 - 172550*ln2^8 - 
    95760000*ln2^2*s6 + 239240925*s8a + 1713348000*s8b + 128016000*s8c + 
    207144000*s8d + 56448000*li6half*z2 - 63504000*li5half*ln2*z2 - 
    8820000*li4half*ln2^2*z2 + 436100*ln2^6*z2 - 516600000*s6*z2 + 
    91879200*li4half*z2^2 - 23100*ln2^4*z2^2 - 18490500*ln2^2*z2^3 - 
    91684962*z2^4 - 340200000*li5half*z3 - 49392000*li4half*ln2*z3 + 
    777000*ln2^5*z3 - 16002000*ln2^3*z2*z3 - 178970400*ln2*z2^2*z3 + 
    2008125*ln2^2*z3^2 - 197607375*z2*z3^2 + 23354625*ln2^3*z5 - 
    370983375*ln2*z2*z5 + 267860250*z3*z5)/7056000, 
 H[0, 1, -1, 0, -1, -1, -1, 0, 1] -> 
  (40320000*li4half^2 + 3360000*li4half*ln2^4 + 70000*ln2^8 - 
    12096000*ln2^2*s6 + 12491325*s8a - 23688000*s8b + 24192000*s8c - 
    24192000*s8d - 48384000*li6half*z2 - 32256000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 974400*ln2^6*z2 + 20160000*s6*z2 - 
    27216000*li4half*z2^2 + 1722000*ln2^4*z2^2 + 6199200*ln2^2*z2^3 + 
    17625912*z2^4 + 32256000*li4half*ln2*z3 + 1344000*ln2^5*z3 - 
    8064000*ln2^3*z2*z3 - 19756800*ln2*z2^2*z3 - 3402000*ln2^2*z3^2 - 
    346500*z2*z3^2 - 14395500*ln2*z2*z5 - 4882500*z3*z5)/4032000, 
 H[0, 1, -1, 0, -1, -1, -1, -1, 1] -> 
  (-70560000*li4half^2 + 1128960000*li8half + 903168000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 - 38500*ln2^8 + 9072000*ln2^2*s6 + 
    23184000*ln2*s7a - 195552000*ln2*s7b + 223875225*s8a + 1382472000*s8b + 
    189504000*s8c - 6048000*s8d + 211680000*li6half*z2 + 
    169344000*li5half*ln2*z2 + 98784000*li4half*ln2^2*z2 + 2842000*ln2^6*z2 - 
    44352000*s6*z2 + 61588800*li4half*z2^2 - 8017800*ln2^4*z2^2 - 
    17665200*ln2^2*z2^3 - 51272244*z2^4 - 86688000*li5half*z3 - 
    197568000*li4half*ln2*z3 - 7509600*ln2^5*z3 + 54516000*ln2^3*z2*z3 + 
    2167200*ln2*z2^2*z3 - 77710500*ln2^2*z3^2 - 169690500*z2*z3^2 + 
    118482000*ln2^3*z5 + 55093500*ln2*z2*z5 - 350878500*z3*z5 - 
    2317982625*ln2*z7)/28224000, H[0, 1, -1, -1, 1, 1, 1, 1, 1] -> 
  (-225792000*li8half - 5600*ln2^8 + 15120000*ln2^2*s6 - 49169925*s8a - 
    371448000*s8b - 30240000*s8c - 40320000*s8d + 24192000*li6half*z2 + 
    12096000*li5half*ln2*z2 - 61600*ln2^6*z2 + 117936000*s6*z2 - 
    8064000*li4half*z2^2 + 1772400*ln2^4*z2^2 + 3276000*ln2^2*z2^3 + 
    14224752*z2^4 + 72576000*li5half*z3 - 781200*ln2^5*z3 + 
    1764000*ln2^3*z2*z3 + 44944200*ln2*z2^2*z3 + 4252500*ln2^2*z3^2 + 
    25672500*z2*z3^2 + 78624000*ln2*z2*z5 - 20719125*z3*z5)/8064000, 
 H[0, 1, -1, -1, 1, 1, 1, 0, 1] -> (42336000*li4half^2 + 282240000*li8half + 
    3528000*li4half*ln2^4 + 80500*ln2^8 + 504000*ln2^2*s6 + 43329825*s8a + 
    209412000*s8b - 1008000*s8c + 25704000*s8d + 70560000*li6half*z2 + 
    21168000*li5half*ln2*z2 - 31752000*li4half*ln2^2*z2 - 1597400*ln2^6*z2 - 
    39060000*s6*z2 - 18849600*li4half*z2^2 + 5315100*ln2^4*z2^2 - 
    10508400*ln2^2*z2^3 - 45917118*z2^4 - 93744000*li5half*z3 + 
    37044000*li4half*ln2*z3 + 2324700*ln2^5*z3 - 20160000*ln2^3*z2*z3 - 
    35664300*ln2*z2^2*z3 + 18663750*ln2^2*z3^2 - 27137250*z2*z3^2 + 
    22869000*ln2*z2*z5 + 92050875*z3*z5)/14112000, 
 H[0, 1, -1, -1, 1, 1, 1, -1, 1] -> 
  (56448000*li4half^2 + 1862784000*li8half + 56448000*li7half*ln2 + 
    4704000*li4half*ln2^4 + 133000*ln2^8 - 280224000*ln2^2*s6 + 
    10080000*ln2*s7a - 131040000*ln2*s7b + 853857900*s8a + 4510800000*s8b + 
    540288000*s8c + 405216000*s8d - 141120000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 70560000*li4half*ln2^2*z2 - 1607200*ln2^6*z2 - 
    1459584000*s6*z2 + 31651200*li4half*z2^2 - 7089600*ln2^4*z2^2 + 
    20865600*ln2^2*z2^3 - 158399856*z2^4 - 697536000*li5half*z3 + 
    148176000*li4half*ln2*z3 + 13221600*ln2^5*z3 - 52836000*ln2^3*z2*z3 - 
    588596400*ln2*z2^2*z3 + 1449000*ln2^2*z3^2 - 573678000*z2*z3^2 + 
    136710000*ln2^3*z5 - 698355000*ln2*z2*z5 + 892174500*z3*z5 - 
    880999875*ln2*z7)/56448000, H[0, 1, -1, -1, 1, 1, 0, 1, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 - 
    302400*ln2^2*s6 - 2652825*s8a - 2284800*s8b + 604800*s8c - 604800*s8d - 
    8467200*li6half*z2 - 5644800*li5half*ln2*z2 + 1411200*li4half*ln2^2*z2 + 
    94080*ln2^6*z2 + 268800*s6*z2 + 4818240*li4half*z2^2 - 34440*ln2^4*z2^2 - 
    967680*ln2^2*z2^3 + 2248278*z2^4 + 4972800*li5half*z3 - 
    7408800*li4half*ln2*z3 - 350140*ln2^5*z3 + 1855000*ln2^3*z2*z3 + 
    4043760*ln2*z2^2*z3 - 3635100*ln2^2*z3^2 + 2743650*z2*z3^2 - 
    270900*ln2*z2*z5 - 14834925*z3*z5)/940800, 
 H[0, 1, -1, -1, 1, 1, 0, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    41832000*ln2^2*s6 + 101189025*s8a + 454608000*s8b + 83664000*s8c + 
    29232000*s8d - 112896000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    63504000*li4half*ln2^2*z2 - 2097200*ln2^6*z2 - 192528000*s6*z2 - 
    42134400*li4half*z2^2 + 1478400*ln2^4*z2^2 + 26308800*ln2^2*z2^3 + 
    25736814*z2^4 - 114912000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    4044600*ln2^5*z3 - 28098000*ln2^3*z2*z3 - 99300600*ln2*z2^2*z3 + 
    6756750*ln2^2*z3^2 - 70355250*z2*z3^2 - 149782500*ln2*z2*z5 + 
    193591125*z3*z5)/14112000, H[0, 1, -1, -1, 1, 1, 0, -1, 1] -> 
  (4515840000*li8half + 903168000*li7half*ln2 - 67200*ln2^8 - 
    561456000*ln2^2*s6 - 50400000*ln2*s7a - 191520000*ln2*s7b + 
    1470090825*s8a + 9019080000*s8b + 1223712000*s8c + 497952000*s8d - 
    733824000*li6half*z2 - 338688000*li5half*ln2*z2 + 2430400*ln2^6*z2 - 
    2174256000*s6*z2 + 99590400*li4half*z2^2 - 24780000*ln2^4*z2^2 + 
    82252800*ln2^2*z2^3 - 2091888*z2^4 - 770112000*li5half*z3 + 
    6417600*ln2^5*z3 - 76524000*ln2^3*z2*z3 - 885893400*ln2*z2^2*z3 - 
    281389500*ln2^2*z3^2 - 1079851500*z2*z3^2 + 136710000*ln2^3*z5 - 
    2991681000*ln2*z2*z5 - 46281375*z3*z5 - 2217056625*ln2*z7)/56448000, 
 H[0, 1, -1, -1, 1, 1, -1, 1, 1] -> 
  (-169344000*li4half^2 + 846720000*li8half + 28224000*li6half*ln2^2 - 
    14112000*li4half*ln2^4 - 233800*ln2^8 - 229824000*ln2^2*s6 + 
    377736975*s8a + 2907576000*s8b + 445536000*s8c + 175392000*s8d + 
    141120000*li6half*z2 + 254016000*li5half*ln2*z2 + 
    211680000*li4half*ln2^2*z2 + 6076000*ln2^6*z2 - 484848000*s6*z2 + 
    183254400*li4half*z2^2 - 24234000*ln2^4*z2^2 + 25754400*ln2^2*z2^3 + 
    54329256*z2^4 - 520128000*li5half*z3 - 444528000*li4half*ln2*z3 - 
    12952800*ln2^5*z3 + 60732000*ln2^3*z2*z3 - 315063000*ln2*z2^2*z3 - 
    225162000*ln2^2*z3^2 - 332388000*z2*z3^2 - 1820826000*ln2*z2*z5 - 
    125787375*z3*z5)/56448000, H[0, 1, -1, -1, 1, 1, -1, 0, 1] -> 
  (112896000*li4half^2 - 903168000*li8half + 9408000*li4half*ln2^4 + 
    173600*ln2^8 + 95760000*ln2^2*s6 - 91726425*s8a - 1080072000*s8b - 
    191520000*s8c + 50400000*s8d - 423360000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 141120000*li4half*ln2^2*z2 - 
    3018400*ln2^6*z2 - 347760000*s6*z2 - 88704000*li4half*z2^2 - 
    50400*ln2^4*z2^2 + 61639200*ln2^2*z2^3 - 9381528*z2^4 + 
    124992000*li5half*z3 + 296352000*li4half*ln2*z3 + 11306400*ln2^5*z3 - 
    51324000*ln2^3*z2*z3 + 113790600*ln2*z2^2*z3 + 147325500*ln2^2*z3^2 + 
    179802000*z2*z3^2 + 1110375000*ln2*z2*z5 + 517836375*z3*z5)/56448000, 
 H[0, 1, -1, -1, 1, 1, -1, -1, 1] -> 
  (-1806336000*li8half - 169344000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    50400*ln2^8 + 436464000*ln2^2*s6 - 66528000*ln2*s7a + 102816000*ln2*s7b - 
    985471200*s8a - 5626656000*s8b - 725760000*s8c - 516096000*s8d + 
    666400*ln2^6*z2 + 1653120000*s6*z2 - 103219200*li4half*z2^2 + 
    7576800*ln2^4*z2^2 - 101606400*ln2^2*z2^3 + 121758408*z2^4 + 
    1032192000*li5half*z3 - 9836400*ln2^5*z3 + 94836000*ln2^3*z2*z3 + 
    771548400*ln2*z2^2*z3 - 13072500*ln2^2*z3^2 + 765481500*z2*z3^2 - 
    164052000*ln2^3*z5 + 1865997000*ln2*z2*z5 - 1164066750*z3*z5 + 
    501629625*ln2*z7)/56448000, H[0, 1, -1, -1, 1, 0, 1, 1, 1] -> 
  (70560000*li4half^2 + 5880000*li4half*ln2^4 + 122500*ln2^8 + 
    21840000*ln2^2*s6 - 18663225*s8a - 28896000*s8b - 43680000*s8c + 
    43680000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    94416000*s6*z2 - 40656000*li4half*z2^2 - 2576000*ln2^4*z2^2 + 
    6266400*ln2^2*z2^3 - 18609036*z2^4 - 87360000*li5half*z3 + 
    74088000*li4half*ln2*z3 + 3815000*ln2^5*z3 - 7280000*ln2^3*z2*z3 - 
    18064200*ln2*z2^2*z3 + 40099500*ln2^2*z3^2 + 29085000*z2*z3^2 + 
    169407000*ln2*z2*z5 + 102025875*z3*z5)/9408000, 
 H[0, 1, -1, -1, 1, 0, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    3360000*ln2^2*s6 - 2667525*s8a + 22176000*s8b + 6720000*s8c - 
    6720000*s8d + 28224000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 
    1528800*ln2^6*z2 + 25200000*s6*z2 + 30643200*li4half*z2^2 - 
    3427200*ln2^4*z2^2 - 2196600*ln2^2*z2^3 + 3684566*z2^4 + 
    32256000*li5half*z3 - 49392000*li4half*ln2*z3 - 2326800*ln2^5*z3 + 
    15036000*ln2^3*z2*z3 + 4605300*ln2*z2^2*z3 - 13293000*ln2^2*z3^2 - 
    4158000*z2*z3^2 - 77049000*ln2*z2*z5 - 38516625*z3*z5)/4704000, 
 H[0, 1, -1, -1, 1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    26208000*ln2^2*s6 + 163296000*ln2*s7a + 78624000*ln2*s7b - 
    258659100*s8a - 616896000*s8b - 274176000*s8c + 104832000*s8d + 
    931392000*li6half*z2 + 677376000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 1528800*ln2^6*z2 + 453600000*s6*z2 + 
    119750400*li4half*z2^2 + 13809600*ln2^4*z2^2 - 25351200*ln2^2*z2^3 - 
    184207896*z2^4 - 661248000*li5half*z3 - 296352000*li4half*ln2*z3 - 
    6837600*ln2^5*z3 + 462000*ln2^3*z2*z3 - 70862400*ln2*z2^2*z3 + 
    205632000*ln2^2*z3^2 + 24160500*z2*z3^2 + 82026000*ln2^3*z5 - 
    361651500*ln2*z2*z5 + 493321500*z3*z5 + 984902625*ln2*z7)/28224000, 
 H[0, 1, -1, -1, 1, 0, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    21840000*ln2^2*s6 + 18663225*s8a + 28896000*s8b + 43680000*s8c - 
    43680000*s8d + 56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 
    117600*ln2^6*z2 + 63840000*s6*z2 - 19555200*li4half*z2^2 - 
    1402800*ln2^4*z2^2 + 10374000*ln2^2*z2^3 + 23606336*z2^4 + 
    12096000*li5half*z3 - 100800*ln2^5*z3 + 1008000*ln2^3*z2*z3 - 
    18421200*ln2*z2^2*z3 - 15403500*ln2^2*z3^2 - 22396500*z2*z3^2 - 
    178668000*ln2*z2*z5 - 36316875*z3*z5)/9408000, 
 H[0, 1, -1, -1, 1, 0, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    10080000*ln2^2*s6 + 8002575*s8a - 66528000*s8b - 20160000*s8c + 
    20160000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    54432000*s6*z2 + 61185600*li4half*z2^2 - 978600*ln2^4*z2^2 - 
    6552000*ln2^2*z2^3 - 39836088*z2^4 + 72576000*li5half*z3 - 
    604800*ln2^5*z3 + 6048000*ln2^3*z2*z3 + 70988400*ln2*z2^2*z3 + 
    2835000*ln2^2*z3^2 + 12253500*z2*z3^2 + 120676500*ln2*z2*z5 - 
    14104125*z3*z5)/14112000, H[0, 1, -1, -1, 1, 0, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    21168000*ln2^2*s6 - 47376000*ln2*s7a - 75600000*ln2*s7b + 129329550*s8a + 
    308448000*s8b + 137088000*s8c - 52416000*s8d - 127008000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    76860000*s6*z2 + 14918400*li4half*z2^2 - 260400*ln2^4*z2^2 + 
    163800*ln2^2*z2^3 + 30686298*z2^4 + 118944000*li5half*z3 - 
    24696000*li4half*ln2*z3 - 2020200*ln2^5*z3 + 16086000*ln2^3*z2*z3 + 
    7452900*ln2*z2^2*z3 - 64606500*ln2^2*z3^2 - 64228500*z2*z3^2 + 
    27342000*ln2^3*z5 + 88200000*ln2*z2*z5 - 45399375*z3*z5 - 
    566992125*ln2*z7)/14112000, H[0, 1, -1, -1, 1, 0, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    99792000*ln2^2*s6 + 191743650*s8a + 815976000*s8b + 199584000*s8c + 
    12096000*s8d - 338688000*li6half*z2 - 211680000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 - 313488000*s6*z2 - 
    46972800*li4half*z2^2 + 1570800*ln2^4*z2^2 + 60278400*ln2^2*z2^3 + 
    85135824*z2^4 + 90468000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    5420100*ln2^5*z3 - 57288000*ln2^3*z2*z3 - 126151200*ln2*z2^2*z3 - 
    22278375*ln2^2*z3^2 - 117770625*z2*z3^2 - 420477750*ln2*z2*z5 + 
    47533500*z3*z5)/14112000, H[0, 1, -1, -1, 1, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 9648975*s8a - 11088000*s8b - 36288000*s8c + 
    36288000*s8d + 28224000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 
    1528800*ln2^6*z2 - 65520000*s6*z2 + 39244800*li4half*z2^2 - 
    3068800*ln2^4*z2^2 - 651000*ln2^2*z2^3 - 26515106*z2^4 - 
    4368000*li5half*z3 - 49392000*li4half*ln2*z3 - 2021600*ln2^5*z3 + 
    11984000*ln2^3*z2*z3 + 35307300*ln2*z2^2*z3 - 4158000*ln2^2*z3^2 + 
    17716125*z2*z3^2 + 80309250*ln2*z2*z5 + 36227625*z3*z5)/4704000, 
 H[0, 1, -1, -1, 1, 0, -1, -1, 1] -> 
  (-94080000*ln2^2*s6 + 36288000*ln2*s7a - 48384000*ln2*s7b + 190607025*s8a + 
    964488000*s8b + 115584000*s8c + 138432000*s8d - 127008000*li6half*z2 - 
    42336000*li5half*ln2*z2 + 176400*ln2^6*z2 - 492072000*s6*z2 + 
    27686400*li4half*z2^2 + 271600*ln2^4*z2^2 + 47871600*ln2^2*z2^3 - 
    15673956*z2^4 - 252168000*li5half*z3 + 2101400*ln2^5*z3 - 
    21014000*ln2^3*z2*z3 - 145147800*ln2*z2^2*z3 + 46856250*ln2^2*z3^2 - 
    106018500*z2*z3^2 + 82026000*ln2^3*z5 - 81585000*ln2*z2*z5 + 
    430933125*z3*z5 - 230217750*ln2*z7)/9408000, 
 H[0, 1, -1, -1, 1, -1, 1, 1, 1] -> (483840*li4half^2 + 2096640*li8half - 
    80640*li5half*ln2^3 + 40320*li4half*ln2^4 + 1564*ln2^8 + 
    846720*ln2^2*s6 - 1298745*s8a - 4435200*s8b - 1693440*s8c + 685440*s8d + 
    967680*li6half*z2 - 483840*li5half*ln2*z2 - 604800*li4half*ln2^2*z2 - 
    19936*ln2^6*z2 + 100800*s6*z2 - 286272*li4half*z2^2 + 17472*ln2^4*z2^2 - 
    422784*ln2^2*z2^3 - 788688*z2^4 - 826560*li5half*z3 + 
    1270080*li4half*ln2*z3 + 63336*ln2^5*z3 - 73920*ln2^3*z2*z3 + 
    608832*ln2*z2^2*z3 + 846720*ln2^2*z3^2 + 973980*z2*z3^2 + 
    156240*ln2^3*z5 + 6029100*ln2*z2*z5 + 281295*z3*z5)/161280, 
 H[0, 1, -1, -1, 1, -1, 1, 0, 1] -> 
  (-282240000*li8half - 7000*ln2^8 - 16128000*ln2^2*s6 - 27458550*s8a - 
    306684000*s8b + 32256000*s8c - 88704000*s8d - 56448000*li6half*z2 - 
    42336000*li5half*ln2*z2 + 470400*ln2^6*z2 + 179172000*s6*z2 - 
    17740800*li4half*z2^2 - 1841700*ln2^4*z2^2 + 4347000*ln2^2*z2^3 + 
    61265142*z2^4 + 135072000*li5half*z3 - 1125600*ln2^5*z3 + 
    12799500*ln2^3*z2*z3 - 2828700*ln2*z2^2*z3 - 13797000*ln2^2*z3^2 + 
    4914000*z2*z3^2 - 81057375*ln2*z2*z5 - 81884250*z3*z5)/7056000, 
 H[0, 1, -1, -1, 1, -1, 1, -1, 1] -> 
  (112896000*li8half + 169344000*li7half*ln2 + 28224000*li5half*ln2^3 - 
    266000*ln2^8 - 223776000*ln2^2*s6 + 120960000*ln2*s7a + 
    163296000*ln2*s7b + 145649700*s8a + 1055376000*s8b + 205632000*s8c + 
    62496000*s8d + 169344000*li5half*ln2*z2 - 1372000*ln2^6*z2 - 
    47376000*s6*z2 + 12499200*li4half*z2^2 + 23394000*ln2^4*z2^2 + 
    143740800*ln2^2*z2^3 + 51813792*z2^4 - 252000000*li5half*z3 + 
    865200*ln2^5*z3 - 170940000*ln2^3*z2*z3 - 356806800*ln2*z2^2*z3 + 
    103761000*ln2^2*z3^2 - 290052000*z2*z3^2 - 95697000*ln2^3*z5 - 
    2041200000*ln2*z2*z5 + 504787500*z3*z5 + 1783663875*ln2*z7)/56448000, 
 H[0, 1, -1, -1, 1, -1, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    78624000*ln2^2*s6 + 146596275*s8a + 847728000*s8b + 157248000*s8c - 
    9072000*s8d + 169344000*li6half*z2 + 381024000*li5half*ln2*z2 + 
    204624000*li4half*ln2^2*z2 + 5586000*ln2^6*z2 - 98280000*s6*z2 + 
    48283200*li4half*z2^2 - 20479200*ln2^4*z2^2 + 35406000*ln2^2*z2^3 + 
    18823284*z2^4 - 239400000*li5half*z3 - 296352000*li4half*ln2*z3 - 
    10353000*ln2^5*z3 + 66486000*ln2^3*z2*z3 - 59824800*ln2*z2^2*z3 - 
    142506000*ln2^2*z3^2 - 112644000*z2*z3^2 - 866659500*ln2*z2*z5 + 
    75481875*z3*z5)/28224000, H[0, 1, -1, -1, 1, -1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    34608000*ln2^2*s6 - 73050075*s8a - 460320000*s8b - 69216000*s8c - 
    29568000*s8d + 56448000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 + 124992000*s6*z2 + 
    51240000*li4half*z2^2 + 2429000*ln2^4*z2^2 - 28140000*ln2^2*z2^3 - 
    35605152*z2^4 + 113232000*li5half*z3 - 943600*ln2^5*z3 + 
    9436000*ln2^3*z2*z3 + 119994000*ln2*z2^2*z3 + 18994500*ln2^2*z3^2 + 
    49927500*z2*z3^2 + 242707500*ln2*z2*z5 - 130764375*z3*z5)/9408000, 
 H[0, 1, -1, -1, 1, -1, 0, -1, 1] -> 
  (-395136000*li4half^2 - 6773760000*li8half - 1354752000*li7half*ln2 - 
    32928000*li4half*ln2^4 - 585200*ln2^8 + 1046304000*ln2^2*s6 - 
    508032000*ln2*s7a - 211680000*ln2*s7b - 1816009650*s8a - 
    13344912000*s8b - 1076544000*s8c - 1548288000*s8d + 
    508032000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    239904000*li4half*ln2^2*z2 + 6938400*ln2^6*z2 + 4281984000*s6*z2 + 
    40320000*li4half*z2^2 + 8030400*ln2^4*z2^2 - 264096000*ln2^2*z2^3 + 
    416221056*z2^4 + 2856672000*li5half*z3 - 740880000*li4half*ln2*z3 - 
    54675600*ln2^5*z3 + 435624000*ln2^3*z2*z3 + 2029885200*ln2*z2^2*z3 - 
    502173000*ln2^2*z3^2 + 1402758000*z2*z3^2 - 287091000*ln2^3*z5 + 
    4467960000*ln2*z2*z5 - 2189045250*z3*z5 - 1208395125*ln2*z7)/56448000, 
 H[0, 1, -1, -1, 1, -1, -1, 1, 1] -> 
  (80640000*li8half - 4032000*li6half*ln2^2 + 1344000*li5half*ln2^3 - 
    14800*ln2^8 - 8064000*ln2^2*s6 + 24896025*s8a + 200088000*s8b + 
    22176000*s8c + 16128000*s8d - 44352000*li6half*z2 - 
    24192000*li5half*ln2*z2 + 179200*ln2^6*z2 - 74592000*s6*z2 + 
    3225600*li4half*z2^2 - 1335600*ln2^4*z2^2 + 547200*ln2^2*z2^3 + 
    5138424*z2^4 - 12096000*li5half*z3 + 42000*ln2^5*z3 - 
    420000*ln2^3*z2*z3 - 16065000*ln2*z2^2*z3 - 9324000*ln2^2*z3^2 - 
    10017000*z2*z3^2 - 2604000*ln2^3*z5 - 56322000*ln2*z2*z5 - 
    22451625*z3*z5)/2688000, H[0, 1, -1, -1, 1, -1, -1, 0, 1] -> 
  (-19756800*li4half^2 + 101606400*li8half - 1646400*li4half*ln2^4 - 
    31780*ln2^8 - 2318400*ln2^2*s6 + 19868625*s8a + 93340800*s8b + 
    4636800*s8c + 12297600*s8d + 21168000*li6half*z2 + 
    21168000*li5half*ln2*z2 + 11995200*li4half*ln2^2*z2 + 282240*ln2^6*z2 - 
    19303200*s6*z2 + 11914560*li4half*z2^2 - 420840*ln2^4*z2^2 - 
    2860200*ln2^2*z2^3 - 17655444*z2^4 - 15775200*li5half*z3 - 
    7408800*li4half*ln2*z3 - 177240*ln2^5*z3 - 79800*ln2^3*z2*z3 - 
    6337800*ln2*z2^2*z3 - 189000*ln2^2*z3^2 - 18151875*z2*z3^2 - 
    20194650*ln2*z2*z5 + 28083825*z3*z5)/2822400, 
 H[0, 1, -1, -1, 1, -1, -1, -1, 1] -> 
  (-8064000*li4half^2 - 266112000*li8half - 8064000*li7half*ln2 + 
    12096000*li6half*ln2^2 - 4032000*li5half*ln2^3 - 672000*li4half*ln2^4 + 
    31400*ln2^8 - 10944000*ln2^2*s6 + 10944000*ln2*s7a - 19296000*ln2*s7b - 
    8774325*s8a - 222264000*s8b - 18144000*s8c + 44352000*li6half*z2 + 
    48384000*li5half*ln2*z2 + 10080000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 
    6048000*s6*z2 + 7056000*li4half*z2^2 + 2503200*ln2^4*z2^2 + 
    16545600*ln2^2*z2^3 - 10152792*z2^4 - 29232000*li5half*z3 - 
    21168000*li4half*ln2*z3 - 462000*ln2^5*z3 + 2856000*ln2^3*z2*z3 + 
    11860200*ln2*z2^2*z3 + 25587000*ln2^2*z3^2 + 23373000*z2*z3^2 + 
    37107000*ln2^3*z5 + 184635000*ln2*z2*z5 + 126181125*z3*z5 - 
    120288375*ln2*z7)/8064000, H[0, 1, -1, -1, 0, 1, 1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    5040000*ln2^2*s6 - 13092975*s8a + 50702400*s8b - 10080000*s8c + 
    10080000*s8d - 16934400*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 
    376320*ln2^6*z2 - 28627200*s6*z2 + 21772800*li4half*z2^2 - 
    151200*ln2^4*z2^2 - 9485280*ln2^2*z2^3 + 580896*z2^4 + 
    24998400*li5half*z3 - 29635200*li4half*ln2*z3 - 1443120*ln2^5*z3 + 
    9492000*ln2^3*z2*z3 + 12385800*ln2*z2^2*z3 - 11547900*ln2^2*z3^2 + 
    22598100*z2*z3^2 + 32356800*ln2*z2*z5 - 90141975*z3*z5)/11289600, 
 H[0, 1, -1, -1, 0, 1, 1, 0, 1] -> (-10080000*ln2^2*s6 + 7660275*s8a - 
    33432000*s8b + 20160000*s8c - 20160000*s8d + 47376000*s6*z2 - 
    4032000*li4half*z2^2 - 168000*ln2^4*z2^2 + 5670000*ln2^2*z2^3 + 
    9396924*z2^4 - 34944000*li5half*z3 + 291200*ln2^5*z3 - 
    2912000*ln2^3*z2*z3 - 11071200*ln2*z2^2*z3 - 2835000*ln2^2*z3^2 - 
    13944000*z2*z3^2 - 69300000*ln2*z2*z5 + 34867875*z3*z5)/9408000, 
 H[0, 1, -1, -1, 0, 1, 1, -1, 1] -> 
  (112896000*li4half^2 - 13547520000*li8half - 2709504000*li7half*ln2 + 
    9408000*li4half*ln2^4 + 397600*ln2^8 + 2482704000*ln2^2*s6 - 
    647136000*ln2*s7a + 764064000*ln2*s7b - 5435729775*s8a - 
    33598152000*s8b - 3671136000*s8c - 3271968000*s8d - 
    141120000*li4half*ln2^2*z2 - 7761600*ln2^6*z2 + 10036656000*s6*z2 - 
    753177600*li4half*z2^2 + 50114400*ln2^4*z2^2 - 440697600*ln2^2*z2^3 + 
    1014642576*z2^4 + 6543936000*li5half*z3 + 296352000*li4half*ln2*z3 - 
    42184800*ln2^5*z3 + 360108000*ln2^3*z2*z3 + 4152695400*ln2*z2^2*z3 - 
    292666500*ln2^2*z3^2 + 4079659500*z2*z3^2 - 1367100000*ln2^3*z5 + 
    8724870000*ln2*z2*z5 - 5860299375*z3*z5 + 5891563125*ln2*z7)/56448000, 
 H[0, 1, -1, -1, 0, 1, 0, 1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    1008000*ln2^2*s6 + 39719925*s8a - 51912000*s8b + 2016000*s8c - 
    2016000*s8d + 84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 
    1881600*ln2^6*z2 + 14616000*s6*z2 - 99187200*li4half*z2^2 + 
    1159200*ln2^4*z2^2 + 35141400*ln2^2*z2^3 - 9431082*z2^4 - 
    52416000*li5half*z3 + 148176000*li4half*ln2*z3 + 6610800*ln2^5*z3 - 
    41412000*ln2^3*z2*z3 - 82095300*ln2*z2^2*z3 + 64543500*ln2^2*z3^2 - 
    44178750*z2*z3^2 - 27877500*ln2*z2*z5 + 252874125*z3*z5)/14112000, 
 H[0, 1, -1, -1, 0, 1, 0, 0, 1] -> (672000*ln2^2*s6 - 1175475*s8a + 
    2688000*s8b - 1344000*s8c + 1344000*s8d - 1848000*s6*z2 + 
    268800*li4half*z2^2 + 11200*ln2^4*z2^2 + 79800*ln2^2*z2^3 + 95429*z2^4 - 
    522900*ln2*z2^2*z3 + 189000*ln2^2*z3^2 + 1160250*z2*z3^2 + 
    1921500*ln2*z2*z5 - 3189375*z3*z5)/336000, 
 H[0, 1, -1, -1, 0, 1, 0, -1, 1] -> (5376000*ln2^2*s6 + 2553600*ln2*s7a + 
    6316800*ln2*s7b - 13890975*s8a - 44150400*s8b - 15859200*s8c + 
    4569600*s8d - 16934400*li6half*z2 - 5644800*li5half*ln2*z2 + 
    23520*ln2^6*z2 - 9492000*s6*z2 + 913920*li4half*z2^2 - 79520*ln2^4*z2^2 - 
    529200*ln2^2*z2^3 - 1893006*z2^4 - 5376000*li5half*z3 + 44800*ln2^5*z3 - 
    448000*ln2^3*z2*z3 + 3877020*ln2*z2^2*z3 + 5422200*ln2^2*z3^2 + 
    15690675*z2*z3^2 - 3645600*ln2^3*z5 + 30359700*ln2*z2*z5 - 
    1700475*z3*z5 + 45610950*ln2*z7)/940800, 
 H[0, 1, -1, -1, 0, 1, -1, 1, 1] -> 
  (2257920000*li8half - 112896000*li6half*ln2^2 - 100800*ln2^8 - 
    293496000*ln2^2*s6 + 790064100*s8a + 5022192000*s8b + 457632000*s8c + 
    558432000*s8d - 112896000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    862400*ln2^6*z2 - 1682520000*s6*z2 + 111686400*li4half*z2^2 - 
    13104000*ln2^4*z2^2 + 44797200*ln2^2*z2^3 - 202938444*z2^4 - 
    1056888000*li5half*z3 + 8807400*ln2^5*z3 - 51030000*ln2^3*z2*z3 - 
    626031000*ln2*z2^2*z3 - 7686000*ln2^2*z3^2 - 557991000*z2*z3^2 - 
    1294398000*ln2*z2*z5 + 990698625*z3*z5)/9408000, 
 H[0, 1, -1, -1, 0, 1, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    2688000*ln2^2*s6 - 3161025*s8a - 27552000*s8b + 5376000*s8c - 
    13440000*s8d + 8064000*li6half*z2 - 6048000*li4half*ln2^2*z2 - 
    240800*ln2^6*z2 + 35700000*s6*z2 - 7257600*li4half*z2^2 + 
    537600*ln2^4*z2^2 - 1948800*ln2^2*z2^3 + 6332526*z2^4 + 
    15792000*li5half*z3 + 7056000*li4half*ln2*z3 + 162400*ln2^5*z3 - 
    448000*ln2^3*z2*z3 - 854700*ln2*z2^2*z3 - 756000*ln2^2*z3^2 - 
    1722000*z2*z3^2 - 21845250*ln2*z2*z5 - 29407875*z3*z5)/672000, 
 H[0, 1, -1, -1, 0, 1, -1, -1, 1] -> 
  (11289600*li4half^2 + 270950400*li7half*ln2 + 67737600*li6half*ln2^2 + 
    940800*li4half*ln2^4 + 59920*ln2^8 + 18244800*ln2^2*s6 + 
    41126400*ln2*s7a - 54835200*ln2*s7b - 84138075*s8a - 454507200*s8b - 
    41126400*s8c - 77414400*s8d + 8467200*li6half*z2 - 
    8467200*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 787920*ln2^6*z2 + 
    230328000*s6*z2 - 25361280*li4half*z2^2 + 6210960*ln2^4*z2^2 - 
    7519680*ln2^2*z2^3 + 21269592*z2^4 + 165412800*li5half*z3 + 
    29635200*li4half*ln2*z3 - 143640*ln2^5*z3 - 4737600*ln2^3*z2*z3 + 
    86821560*ln2*z2^2*z3 + 42638400*ln2^2*z3^2 + 49896000*z2*z3^2 + 
    92962800*ln2^3*z5 + 247501800*ln2*z2*z5 - 242430300*z3*z5 - 
    505477350*ln2*z7)/5644800, H[0, 1, -1, -1, 0, 0, 1, 1, 1] -> 
  (-45158400*li4half^2 - 3763200*li4half*ln2^4 - 78400*ln2^8 - 
    13104000*ln2^2*s6 + 13949775*s8a - 13003200*s8b + 26208000*s8c - 
    26208000*s8d - 33868800*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 + 
    164640*ln2^6*z2 + 66528000*s6*z2 + 23264640*li4half*z2^2 + 
    1674960*ln2^4*z2^2 - 6017760*ln2^2*z2^3 + 8259576*z2^4 + 
    29836800*li5half*z3 - 29635200*li4half*ln2*z3 - 1483440*ln2^5*z3 + 
    2486400*ln2^3*z2*z3 - 3308760*ln2*z2^2*z3 - 16650900*ln2^2*z3^2 - 
    21023100*z2*z3^2 - 57985200*ln2*z2*z5 - 16189425*z3*z5)/5644800, 
 H[0, 1, -1, -1, 0, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    38304000*ln2^2*s6 - 39581325*s8a - 52416000*s8b - 76608000*s8c + 
    76608000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    188496000*s6*z2 + 25905600*li4half*z2^2 + 4607400*ln2^4*z2^2 - 
    20664000*ln2^2*z2^3 - 58004952*z2^4 - 40320000*li5half*z3 + 
    336000*ln2^5*z3 - 3360000*ln2^3*z2*z3 + 110854800*ln2*z2^2*z3 + 
    10773000*ln2^2*z3^2 + 58338000*z2*z3^2 + 339633000*ln2*z2*z5 + 
    27129375*z3*z5)/14112000, H[0, 1, -1, -1, 0, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    59472000*ln2^2*s6 - 55440000*ln2*s7a - 111888000*ln2*s7b + 
    321526800*s8a + 1624896000*s8b + 229824000*s8c + 193536000*s8d + 
    42336000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    35280000*li4half*ln2^2*z2 + 2234400*ln2^6*z2 - 614628000*s6*z2 + 
    76809600*li4half*z2^2 - 11793600*ln2^4*z2^2 + 25641000*ln2^2*z2^3 - 
    36886002*z2^4 - 330624000*li5half*z3 - 123480000*li4half*ln2*z3 - 
    2389800*ln2^5*z3 + 28014000*ln2^3*z2*z3 - 126863100*ln2*z2^2*z3 - 
    101619000*ln2^2*z3^2 - 243258750*z2*z3^2 + 54684000*ln2^3*z5 - 
    188370000*ln2*z2*z5 + 564732000*z3*z5 - 729705375*ln2*z7)/14112000, 
 H[0, 1, -1, -1, 0, 0, 0, 1, 1] -> (-2688000*ln2^2*s6 + 4589025*s8a + 
    28560000*s8b + 5376000*s8c - 5376000*s8d - 1008000*s6*z2 - 
    7660800*li4half*z2^2 - 319200*ln2^4*z2^2 + 3570000*ln2^2*z2^3 + 
    7173284*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 - 
    12650400*ln2*z2^2*z3 - 756000*ln2^2*z3^2 + 3391500*z2*z3^2 - 
    29137500*ln2*z2*z5 - 14896875*z3*z5)/4704000, 
 H[0, 1, -1, -1, 0, 0, 0, 0, 1] -> (-42525*s8a - 280000*s8b + 112000*s6*z2 - 
    268800*li4half*z2^2 - 11200*ln2^4*z2^2 + 193200*ln2^2*z2^3 + 92096*z2^4 - 
    252000*ln2*z2^2*z3 - 84000*z2*z3^2 - 168000*ln2*z2*z5 + 364875*z3*z5)/
   112000, H[0, 1, -1, -1, 0, 0, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    25632000*ln2^2*s6 + 15552000*ln2*s7a - 576000*ln2*s7b + 33495525*s8a + 
    196560000*s8b + 20160000*s8c + 28224000*s8d - 4032000*li4half*ln2^2*z2 - 
    168000*ln2^6*z2 - 75600000*s6*z2 - 2923200*li4half*z2^2 + 
    382200*ln2^4*z2^2 + 12128400*ln2^2*z2^3 - 681396*z2^4 - 
    62496000*li5half*z3 + 14112000*li4half*ln2*z3 + 1108800*ln2^5*z3 - 
    8736000*ln2^3*z2*z3 - 42183000*ln2*z2^2*z3 + 16605000*ln2^2*z3^2 - 
    27625500*z2*z3^2 + 15624000*ln2^3*z5 - 76144500*ln2*z2*z5 + 
    91436625*z3*z5 + 9663750*ln2*z7)/2016000, 
 H[0, 1, -1, -1, 0, 0, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    182448000*ln2^2*s6 - 539621775*s8a - 3195360000*s8b - 252000000*s8c - 
    594720000*s8d + 338688000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 
    117600*ln2^6*z2 + 1570464000*s6*z2 - 157046400*li4half*z2^2 + 
    2276400*ln2^4*z2^2 - 101379600*ln2^2*z2^3 + 154701096*z2^4 + 
    857808000*li5half*z3 - 7148400*ln2^5*z3 + 71484000*ln2^3*z2*z3 + 
    386908200*ln2*z2^2*z3 - 15057000*ln2^2*z3^2 + 422289000*z2*z3^2 + 
    413343000*ln2*z2*z5 - 1526836500*z3*z5)/28224000, 
 H[0, 1, -1, -1, 0, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 24143175*s8a - 102816000*s8b - 36288000*s8c + 
    36288000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    65520000*s6*z2 + 60177600*li4half*z2^2 - 1020600*ln2^4*z2^2 - 
    21848400*ln2^2*z2^3 - 43093668*z2^4 + 110880000*li5half*z3 - 
    924000*ln2^5*z3 + 9240000*ln2^3*z2*z3 + 92446200*ln2*z2^2*z3 + 
    5103000*ln2^2*z3^2 + 17624250*z2*z3^2 + 204120000*ln2*z2*z5 - 
    50392125*z3*z5)/14112000, H[0, 1, -1, -1, 0, 0, -1, -1, 1] -> 
  (-1920000*ln2^2*s6 - 1440000*ln2*s7a + 3936000*ln2*s7b + 678300*s8a - 
    1344000*s8b + 1344000*s8c - 1344000*s8d - 4032000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 - 50400*ln2^6*z2 + 3696000*s6*z2 - 
    604800*li4half*z2^2 + 142800*ln2^4*z2^2 + 811200*ln2^2*z2^3 + 
    763288*z2^4 + 4368000*li5half*z3 + 2352000*li4half*ln2*z3 + 
    61600*ln2^5*z3 - 224000*ln2^3*z2*z3 - 1106400*ln2*z2^2*z3 - 
    2671500*ln2^2*z3^2 - 1202250*z2*z3^2 - 5208000*ln2^3*z5 - 
    11824500*ln2*z2*z5 - 3394125*z3*z5 + 17279250*ln2*z7)/1344000, 
 H[0, 1, -1, -1, 0, -1, 1, 1, 1] -> 
  (-310464000*li4half^2 - 2257920000*li8half - 37632000*li5half*ln2^3 - 
    25872000*li4half*ln2^4 - 281400*ln2^8 - 4032000*ln2^2*s6 - 
    292605075*s8a - 3185280000*s8b + 8064000*s8c - 572544000*s8d + 
    677376000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 137200*ln2^6*z2 + 1730736000*s6*z2 + 
    55540800*li4half*z2^2 + 27774600*ln2^4*z2^2 - 37119600*ln2^2*z2^3 + 
    182645388*z2^4 + 1173312000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    15951600*ln2^5*z3 + 23688000*ln2^3*z2*z3 + 337440600*ln2*z2^2*z3 - 
    98374500*ln2^2*z3^2 + 22176000*z2*z3^2 + 11392500*ln2^3*z5 - 
    2142000*ln2*z2*z5 - 673233750*z3*z5)/28224000, 
 H[0, 1, -1, -1, 0, -1, 1, 0, 1] -> 
  (3360000*ln2^2*s6 + 1193325*s8a + 28560000*s8b - 6720000*s8c + 
    14784000*s8d - 16128000*li6half*z2 - 2688000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 42000000*s6*z2 + 
    5208000*li4half*z2^2 - 175000*ln2^4*z2^2 + 2877000*ln2^2*z2^3 - 
    4809438*z2^4 - 29568000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    47600*ln2^5*z3 - 700000*ln2^3*z2*z3 + 795900*ln2*z2^2*z3 + 
    945000*ln2^2*z3^2 + 5397000*z2*z3^2 + 25021500*ln2*z2*z5 + 
    33245625*z3*z5)/672000, H[0, 1, -1, -1, 0, -1, 1, -1, 1] -> 
  (-169344000*li4half^2 + 18063360000*li8half + 2709504000*li7half*ln2 + 
    75264000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 1010800*ln2^8 - 
    2731680000*ln2^2*s6 + 320544000*ln2*s7a - 1316448000*ln2*s7b + 
    7018344900*s8a + 42806736000*s8b + 4822272000*s8c + 3927168000*s8d + 
    931392000*li6half*z2 + 790272000*li5half*ln2*z2 + 
    465696000*li4half*ln2^2*z2 + 19129600*ln2^6*z2 - 11967984000*s6*z2 + 
    992880000*li4half*z2^2 - 124563600*ln2^4*z2^2 + 346953600*ln2^2*z2^3 - 
    1391835096*z2^4 - 8418816000*li5half*z3 - 889056000*li4half*ln2*z3 + 
    33112800*ln2^5*z3 - 108864000*ln2^3*z2*z3 - 4874662800*ln2*z2^2*z3 - 
    277452000*ln2^2*z3^2 - 5346747000*z2*z3^2 + 1563051000*ln2^3*z5 - 
    10603278000*ln2*z2*z5 + 6966666000*z3*z5 - 10303846875*ln2*z7)/56448000, 
 H[0, 1, -1, -1, 0, -1, 0, 1, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 + 
    18144000*ln2^2*s6 - 23426550*s8a + 24192000*s8b - 36288000*s8c + 
    36288000*s8d - 677376000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2822400*ln2^6*z2 - 397152000*s6*z2 - 
    222062400*li4half*z2^2 - 3372600*ln2^4*z2^2 + 110980800*ln2^2*z2^3 + 
    117186732*z2^4 - 44352000*li5half*z3 + 296352000*li4half*ln2*z3 + 
    12717600*ln2^5*z3 - 77784000*ln2^3*z2*z3 - 126730800*ln2*z2^2*z3 + 
    134757000*ln2^2*z3^2 + 156429000*z2*z3^2 + 118345500*ln2*z2*z5 + 
    17742375*z3*z5)/28224000, H[0, 1, -1, -1, 0, -1, 0, 0, 1] -> 
  (6720000*ln2^2*s6 - 9434775*s8a + 23856000*s8b - 13440000*s8c + 
    13440000*s8d - 10416000*s6*z2 - 29064000*li4half*z2^2 - 
    1211000*ln2^4*z2^2 + 11684400*ln2^2*z2^3 + 9291176*z2^4 - 
    17472000*li5half*z3 + 145600*ln2^5*z3 - 1456000*ln2^3*z2*z3 - 
    37464000*ln2*z2^2*z3 + 1890000*ln2^2*z3^2 + 10300500*z2*z3^2 + 
    1512000*ln2*z2*z5 + 13786500*z3*z5)/4704000, 
 H[0, 1, -1, -1, 0, -1, 0, -1, 1] -> 
  (645120*li4half^2 + 53760*li4half*ln2^4 + 1120*ln2^8 - 552960*ln2^2*s6 + 
    929280*ln2*s7a + 714240*ln2*s7b - 174720*s8a + 2567040*s8b - 752640*s8c + 
    1397760*s8d - 1612800*li6half*z2 - 537600*li5half*ln2*z2 - 
    322560*li4half*ln2^2*z2 - 11200*ln2^6*z2 - 3487680*s6*z2 - 
    268800*li4half*z2^2 + 17920*ln2^4*z2^2 + 445680*ln2^2*z2^3 - 
    146100*z2^4 - 2472960*li5half*z3 + 1128960*li4half*ln2*z3 + 
    67648*ln2^5*z3 - 488320*ln2^3*z2*z3 - 1226280*ln2*z2^2*z3 + 
    1267440*ln2^2*z3^2 + 487620*z2*z3^2 + 208320*ln2^3*z5 - 
    281160*ln2*z2*z5 + 2828490*z3*z5 + 5548275*ln2*z7)/53760, 
 H[0, 1, -1, -1, 0, -1, -1, 1, 1] -> 
  (197568000*li4half^2 - 4515840000*li8half + 338688000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 16464000*li4half*ln2^4 + 387800*ln2^8 + 
    509544000*ln2^2*s6 - 1196450325*s8a - 8408736000*s8b - 800352000*s8c - 
    836640000*s8d - 338688000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 2170728000*s6*z2 - 
    302097600*li4half*z2^2 + 5229000*ln2^4*z2^2 + 76683600*ln2^2*z2^3 + 
    361600128*z2^4 + 1496880000*li5half*z3 + 74088000*li4half*ln2*z3 - 
    9387000*ln2^5*z3 + 50652000*ln2^3*z2*z3 + 922433400*ln2*z2^2*z3 + 
    120156750*ln2^2*z3^2 + 993746250*z2*z3^2 - 11392500*ln2^3*z5 + 
    2370627000*ln2*z2*z5 - 753361875*z3*z5)/28224000, 
 H[0, 1, -1, -1, 0, -1, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    19488000*ln2^2*s6 - 44899050*s8a - 3024000*s8b - 38976000*s8c + 
    38976000*s8d + 112896000*li6half*z2 + 37632000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 - 6216000*s6*z2 + 
    34608000*li4half*z2^2 - 1302000*ln2^4*z2^2 - 10256400*ln2^2*z2^3 - 
    22457748*z2^4 + 53760000*li5half*z3 - 448000*ln2^5*z3 + 
    4480000*ln2^3*z2*z3 + 45087000*ln2*z2^2*z3 + 5481000*ln2^2*z3^2 + 
    15891750*z2*z3^2 + 42031500*ln2*z2*z5 - 121487625*z3*z5)/9408000, 
 H[0, 1, -1, -1, 0, -1, -1, -1, 1] -> 
  (127008000*li4half^2 - 2257920000*li8half - 1354752000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    10584000*li4half*ln2^4 + 276500*ln2^8 + 109368000*ln2^2*s6 - 
    2016000*ln2*s7a + 364896000*ln2*s7b - 533197350*s8a - 2883888000*s8b - 
    433440000*s8c - 46368000*s8d - 423360000*li6half*z2 - 
    254016000*li5half*ln2*z2 - 127008000*li4half*ln2^2*z2 - 
    3920000*ln2^6*z2 + 279720000*s6*z2 - 117230400*li4half*z2^2 + 
    6581400*ln2^4*z2^2 + 43142400*ln2^2*z2^3 + 173092284*z2^4 + 
    255024000*li5half*z3 + 296352000*li4half*ln2*z3 + 10222800*ln2^5*z3 - 
    59010000*ln2^3*z2*z3 + 109720800*ln2*z2^2*z3 + 83238750*ln2^2*z3^2 + 
    412067250*z2*z3^2 - 344053500*ln2^3*z5 + 47628000*ln2*z2*z5 + 
    245944125*z3*z5 + 3385092375*ln2*z7)/28224000, 
 H[0, 1, -1, -1, -1, 1, 1, 1, 1] -> (-3528000*li4half^2 - 119952000*li8half - 
    588000*li4half*ln2^4 - 21350*ln2^8 - 9072000*ln2^2*s6 + 1261575*s8a - 
    77364000*s8b + 18144000*s8c - 32256000*s8d - 21168000*li6half*z2 + 
    10584000*li5half*ln2*z2 + 8820000*li4half*ln2^2*z2 + 245000*ln2^6*z2 + 
    50400000*s6*z2 - 3099600*li4half*z2^2 - 195300*ln2^4*z2^2 + 
    9412200*ln2^2*z2^3 + 22664412*z2^4 + 43344000*li5half*z3 - 
    18522000*li4half*ln2*z3 - 978600*ln2^5*z3 + 1407000*ln2^3*z2*z3 + 
    1184400*ln2*z2^2*z3 - 11812500*ln2^2*z3^2 - 2858625*z2*z3^2 - 
    75269250*ln2*z2*z5 - 14466375*z3*z5)/7056000, 
 H[0, 1, -1, -1, -1, 1, 1, 0, 1] -> 
  (-70560000*li4half^2 + 564480000*li8half - 5880000*li4half*ln2^4 - 
    108500*ln2^8 + 90720000*ln2^2*s6 - 68810175*s8a + 159768000*s8b - 
    181440000*s8c + 174384000*s8d + 254016000*li6half*z2 + 
    211680000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 1136800*ln2^6*z2 - 
    218232000*s6*z2 + 96969600*li4half*z2^2 + 1541400*ln2^4*z2^2 - 
    41403600*ln2^2*z2^3 - 163590948*z2^4 - 320544000*li5half*z3 - 
    144648000*li4half*ln2*z3 - 3355800*ln2^5*z3 + 16506000*ln2^3*z2*z3 + 
    115605000*ln2*z2^2*z3 + 20884500*ln2^2*z3^2 + 81175500*z2*z3^2 + 
    381591000*ln2*z2*z5 + 64787625*z3*z5)/28224000, 
 H[0, 1, -1, -1, -1, 1, 1, -1, 1] -> 
  (-806400*li4half^2 + 19353600*li8half - 1612800*li7half*ln2 + 2200*ln2^8 + 
    950400*ln2^2*s6 - 1555200*ln2*s7a - 1958400*ln2*s7b + 4380075*s8a + 
    29736000*s8b + 1209600*s8c + 3628800*s8d - 806400*li6half*z2 - 
    4838400*li5half*ln2*z2 - 1209600*li4half*ln2^2*z2 - 14560*ln2^6*z2 - 
    12499200*s6*z2 + 1249920*li4half*z2^2 - 114240*ln2^4*z2^2 - 
    1920960*ln2^2*z2^3 - 2010168*z2^4 - 4032000*li5half*z3 - 1680*ln2^5*z3 + 
    1226400*ln2^3*z2*z3 + 36360*ln2*z2^2*z3 - 1849500*ln2^2*z3^2 - 
    667800*z2*z3^2 + 390600*ln2^3*z5 + 17370000*ln2*z2*z5 - 3053925*z3*z5 - 
    27201150*ln2*z7)/1612800, H[0, 1, -1, -1, -1, 1, 0, 1, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 + 3427200*ln2^2*s6 - 
    5296725*s8a - 37296000*s8b - 6854400*s8c - 201600*s8d - 
    1411200*li6half*z2 - 12700800*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 - 
    248920*ln2^6*z2 + 6753600*s6*z2 - 3921120*li4half*z2^2 + 
    703920*ln2^4*z2^2 - 1839600*ln2^2*z2^3 - 1919898*z2^4 + 
    8870400*li5half*z3 + 14464800*li4half*ln2*z3 + 528780*ln2^5*z3 - 
    2347800*ln2^3*z2*z3 + 1576260*ln2*z2^2*z3 + 6288975*ln2^2*z3^2 + 
    3476025*z2*z3^2 + 36703800*ln2*z2*z5 + 1236375*z3*z5)/1411200, 
 H[0, 1, -1, -1, -1, 1, 0, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    3427200*ln2^2*s6 + 5296725*s8a + 37296000*s8b + 6854400*s8c + 
    201600*s8d - 4233600*li5half*ln2*z2 - 7761600*li4half*ln2^2*z2 - 
    288120*ln2^6*z2 - 1814400*s6*z2 - 8638560*li4half*z2^2 + 
    257460*ln2^4*z2^2 + 1874880*ln2^2*z2^3 + 4849713*z2^4 - 
    8870400*li5half*z3 + 6350400*li4half*ln2*z3 + 338520*ln2^5*z3 - 
    2591400*ln2^3*z2*z3 - 13888980*ln2*z2^2*z3 + 425250*ln2^2*z3^2 - 
    4721850*z2*z3^2 - 24532200*ln2*z2*z5 + 4408425*z3*z5)/1411200, 
 H[0, 1, -1, -1, -1, 1, 0, -1, 1] -> 
  (56448000*li4half^2 + 903168000*li8half + 180633600*li7half*ln2 + 
    4704000*li4half*ln2^4 + 84560*ln2^8 - 46569600*ln2^2*s6 + 
    38707200*ln2*s7a + 66931200*ln2*s7b + 63852075*s8a + 842587200*s8b + 
    15724800*s8c + 91526400*s8d + 73382400*li6half*z2 - 
    33868800*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 1842400*ln2^6*z2 - 
    152006400*s6*z2 - 32780160*li4half*z2^2 + 1668240*ln2^4*z2^2 - 
    17418240*ln2^2*z2^3 - 62125344*z2^4 - 160473600*li5half*z3 + 
    131241600*li4half*ln2*z3 + 6805680*ln2^5*z3 - 45477600*ln2^3*z2*z3 - 
    143924760*ln2*z2^2*z3 + 55433700*ln2^2*z3^2 - 71416800*z2*z3^2 - 
    27342000*ln2^3*z5 - 332778600*ln2*z2*z5 - 72807525*z3*z5 + 
    345293550*ln2*z7)/11289600, H[0, 1, -1, -1, -1, 1, -1, 1, 1] -> 
  (282240*li4half^2 - 1881600*li8half + 282240*li6half*ln2^2 + 
    31360*li4half*ln2^4 + 1162*ln2^8 + 725760*ln2^2*s6 - 1100085*s8a - 
    7852320*s8b - 1545600*s8c - 100800*s8d + 2163840*li6half*z2 + 
    1411200*li5half*ln2*z2 + 94080*li4half*ln2^2*z2 - 4704*ln2^6*z2 + 
    1965600*s6*z2 - 180096*li4half*z2^2 + 26208*ln2^4*z2^2 - 
    119952*ln2^2*z2^3 - 752406*z2^4 - 974400*li5half*z3 + 
    47040*li4half*ln2*z3 + 5964*ln2^5*z3 + 83440*ln2^3*z2*z3 + 
    592032*ln2*z2^2*z3 + 682605*ln2^2*z3^2 + 580755*z2*z3^2 + 
    4297230*ln2*z2*z5 + 2768430*z3*z5)/188160, 
 H[0, 1, -1, -1, -1, 1, -1, 0, 1] -> 
  (79027200*li4half^2 - 270950400*li8half + 6585600*li4half*ln2^4 + 
    130480*ln2^8 - 11491200*ln2^2*s6 - 27186075*s8a - 83764800*s8b + 
    22982400*s8c - 28627200*s8d - 95961600*li6half*z2 - 
    101606400*li5half*ln2*z2 - 62092800*li4half*ln2^2*z2 - 1685600*ln2^6*z2 + 
    26208000*s6*z2 - 52859520*li4half*z2^2 + 3183600*ln2^4*z2^2 + 
    16833600*ln2^2*z2^3 + 72011952*z2^4 + 68544000*li5half*z3 + 
    77616000*li4half*ln2*z3 + 2662800*ln2^5*z3 - 18984000*ln2^3*z2*z3 - 
    21296520*ln2*z2^2*z3 + 11585700*ln2^2*z3^2 + 22541400*z2*z3^2 - 
    61273800*ln2*z2*z5 - 109993275*z3*z5)/11289600, 
 H[0, 1, -1, -1, -1, 1, -1, -1, 1] -> 
  (141120000*li4half^2 + 1524096000*li8half + 169344000*li7half*ln2 - 
    84672000*li6half*ln2^2 + 9408000*li4half*ln2^4 + 33600*ln2^8 - 
    93744000*ln2^2*s6 - 2016000*ln2*s7a + 124992000*ln2*s7b + 223739775*s8a + 
    2173752000*s8b + 219744000*s8c + 104832000*s8d - 395136000*li6half*z2 - 
    508032000*li5half*ln2*z2 - 225792000*li4half*ln2^2*z2 - 
    5605600*ln2^6*z2 - 301392000*s6*z2 - 108864000*li4half*z2^2 + 
    4166400*ln2^4*z2^2 - 19555200*ln2^2*z2^3 + 91366704*z2^4 + 
    114912000*li5half*z3 + 430416000*li4half*ln2*z3 + 18211200*ln2^5*z3 - 
    147420000*ln2^3*z2*z3 - 293491800*ln2*z2^2*z3 + 21483000*ln2^2*z3^2 - 
    291595500*z2*z3^2 - 123039000*ln2^3*z5 - 1369053000*ln2*z2*z5 - 
    425116125*z3*z5 + 700008750*ln2*z7)/56448000, 
 H[0, 1, -1, -1, -1, 0, 1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    132048000*ln2^2*s6 - 271100025*s8a - 939960000*s8b - 264096000*s8c + 
    66528000*s8d - 225792000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1332800*ln2^6*z2 - 90720000*s6*z2 - 
    29030400*li4half*z2^2 - 7089600*ln2^4*z2^2 + 9072000*ln2^2*z2^3 - 
    12729744*z2^4 - 20160000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    462000*ln2^5*z3 + 35364000*ln2^3*z2*z3 + 212247000*ln2*z2^2*z3 + 
    27877500*ln2^2*z3^2 + 323095500*z2*z3^2 + 726138000*ln2*z2*z5 - 
    339593625*z3*z5)/56448000, H[0, 1, -1, -1, -1, 0, 1, 0, 1] -> 
  (-60480000*ln2^2*s6 + 51110325*s8a - 3024000*s8b + 120960000*s8c - 
    120960000*s8d + 56448000*li6half*z2 + 78400*ln2^6*z2 + 256032000*s6*z2 - 
    30542400*li4half*z2^2 - 2448600*ln2^4*z2^2 - 11579400*ln2^2*z2^3 + 
    48250722*z2^4 + 185472000*li5half*z3 + 21168000*li4half*ln2*z3 - 
    663600*ln2^5*z3 + 15456000*ln2^3*z2*z3 - 37012500*ln2*z2^2*z3 - 
    44793000*ln2^2*z3^2 - 91822500*z2*z3^2 - 335758500*ln2*z2*z5 - 
    135930375*z3*z5)/14112000, H[0, 1, -1, -1, -1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 9031680000*li8half - 1806336000*li7half*ln2 - 
    4704000*li4half*ln2^4 + 36400*ln2^8 + 950544000*ln2^2*s6 - 
    213696000*ln2*s7a + 350784000*ln2*s7b - 2300345775*s8a - 
    15438024000*s8b - 1473696000*s8c - 1320480000*s8d - 
    705600000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    239904000*li4half*ln2^2*z2 + 6350400*ln2^6*z2 + 3678192000*s6*z2 - 
    194947200*li4half*z2^2 - 243600*ln2^4*z2^2 + 82152000*ln2^2*z2^3 + 
    635025456*z2^4 + 2528064000*li5half*z3 - 352800000*li4half*ln2*z3 - 
    35767200*ln2^5*z3 + 161280000*ln2^3*z2*z3 + 1737754200*ln2*z2^2*z3 - 
    180274500*ln2^2*z3^2 + 1816164000*z2*z3^2 - 546840000*ln2^3*z5 + 
    3070053000*ln2*z2*z5 - 939873375*z3*z5 + 4102654500*ln2*z7)/56448000, 
 H[0, 1, -1, -1, -1, 0, 0, 1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    2520000*ln2^2*s6 + 19014975*s8a + 166824000*s8b - 5040000*s8c + 
    40320000*s8d + 28224000*li6half*z2 - 21168000*li5half*ln2*z2 + 
    10584000*li4half*ln2^2*z2 + 656600*ln2^6*z2 - 91224000*s6*z2 + 
    39110400*li4half*z2^2 - 722400*ln2^4*z2^2 - 7106400*ln2^2*z2^3 - 
    20675364*z2^4 - 38304000*li5half*z3 - 42336000*li4half*ln2*z3 - 
    1444800*ln2^5*z3 + 6069000*ln2^3*z2*z3 + 6722100*ln2*z2^2*z3 - 
    8552250*ln2^2*z3^2 - 13915125*z2*z3^2 + 20081250*ln2*z2*z5 + 
    57841875*z3*z5)/7056000, H[0, 1, -1, -1, -1, 0, 0, 0, 1] -> 
  (-170925*s8a - 1920000*s8b - 384000*s8d + 816000*s6*z2 + 
    4800*li4half*z2^2 + 200*ln2^4*z2^2 - 80400*ln2^2*z2^3 + 45072*z2^4 + 
    384000*li5half*z3 - 3200*ln2^5*z3 + 32000*ln2^3*z2*z3 + 
    395400*ln2*z2^2*z3 + 54000*z2*z3^2 + 288000*ln2*z2*z5 - 512625*z3*z5)/
   96000, H[0, 1, -1, -1, -1, 0, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    48888000*ln2^2*s6 - 36288000*ln2*s7a - 92736000*ln2*s7b + 193597425*s8a + 
    787248000*s8b + 170352000*s8c + 13104000*s8d + 112896000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 392000*ln2^6*z2 - 
    105588000*s6*z2 + 25905600*li4half*z2^2 + 491400*ln2^4*z2^2 + 
    12864600*ln2^2*z2^3 + 9276528*z2^4 - 12096000*li5half*z3 - 
    38808000*li4half*ln2*z3 - 1516200*ln2^5*z3 + 5166000*ln2^3*z2*z3 - 
    47791800*ln2*z2^2*z3 - 50793750*ln2^2*z3^2 - 170265375*z2*z3^2 + 
    54684000*ln2^3*z5 - 205789500*ln2*z2*z5 + 101107125*z3*z5 - 
    731107125*ln2*z7)/14112000, H[0, 1, -1, -1, -1, 0, -1, 1, 1] -> 
  (-197568000*li4half^2 + 2257920000*li8half - 112896000*li6half*ln2^2 - 
    16464000*li4half*ln2^4 - 443800*ln2^8 - 29736000*ln2^2*s6 + 
    201289725*s8a + 2467584000*s8b + 94752000*s8c + 272160000*s8d - 
    423360000*li5half*ln2*z2 - 134064000*li4half*ln2^2*z2 - 
    1274000*ln2^6*z2 - 611352000*s6*z2 + 163800000*li4half*z2^2 - 
    348600*ln2^4*z2^2 - 194619600*ln2^2*z2^3 - 154504764*z2^4 - 
    156240000*li5half*z3 + 45864000*li4half*ln2*z3 + 3213000*ln2^5*z3 + 
    24024000*ln2^3*z2*z3 - 115491600*ln2*z2^2*z3 - 42320250*ln2^2*z3^2 - 
    145923750*z2*z3^2 - 25609500*ln2*z2*z5 - 586396125*z3*z5)/28224000, 
 H[0, 1, -1, -1, -1, 0, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    143136000*ln2^2*s6 + 154442925*s8a - 615384000*s8b + 286272000*s8c - 
    399168000*s8d - 56448000*li4half*ln2^2*z2 - 2352000*ln2^6*z2 + 
    808920000*s6*z2 - 141926400*li4half*z2^2 + 1142400*ln2^4*z2^2 - 
    10155600*ln2^2*z2^3 + 116798088*z2^4 + 318528000*li5half*z3 + 
    56448000*li4half*ln2*z3 - 302400*ln2^5*z3 + 26544000*ln2^3*z2*z3 - 
    89220600*ln2*z2^2*z3 - 114345000*ln2^2*z3^2 - 185487750*z2*z3^2 - 
    625968000*ln2*z2*z5 - 75985875*z3*z5)/28224000, 
 H[0, 1, -1, -1, -1, 0, -1, -1, 1] -> 
  (14112000*li4half^2 + 2257920000*li8half + 903168000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 1176000*li4half*ln2^4 + 58100*ln2^8 - 
    247464000*ln2^2*s6 + 6048000*ln2*s7a - 106848000*ln2*s7b + 
    538147575*s8a + 2957976000*s8b + 447552000*s8c + 60480000*s8d + 
    366912000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 343224000*s6*z2 + 
    2923200*li4half*z2^2 + 2179800*ln2^4*z2^2 + 12196800*ln2^2*z2^3 - 
    139947228*z2^4 - 212688000*li5half*z3 + 3528000*li4half*ln2*z3 + 
    1919400*ln2^5*z3 - 11550000*ln2^3*z2*z3 - 283928400*ln2*z2^2*z3 - 
    91208250*ln2^2*z3^2 - 400932000*z2*z3^2 + 109368000*ln2^3*z5 - 
    771246000*ln2*z2*z5 - 317937375*z3*z5 - 1549768500*ln2*z7)/28224000, 
 H[0, 1, -1, -1, -1, -1, 1, 1, 1] -> 
  (-4032000*li4half^2 - 21504000*li8half + 448000*li5half*ln2^3 - 
    224000*li4half*ln2^4 - 6600*ln2^8 - 3696000*ln2^2*s6 + 3557925*s8a - 
    3864000*s8b + 7392000*s8c - 4704000*s8d - 5376000*li6half*z2 - 
    5376000*li5half*ln2*z2 + 39200*ln2^6*z2 + 6720000*s6*z2 + 
    672000*li4half*z2^2 + 215600*ln2^4*z2^2 + 1908000*ln2^2*z2^3 + 
    5054328*z2^4 + 17136000*li5half*z3 - 336000*li4half*ln2*z3 - 
    215600*ln2^5*z3 + 252000*ln2^3*z2*z3 + 130200*ln2*z2^2*z3 - 
    4126500*ln2^2*z3^2 - 1669500*z2*z3^2 - 2170000*ln2^3*z5 - 
    15792000*ln2*z2*z5 - 15138375*z3*z5)/2688000, 
 H[0, 1, -1, -1, -1, -1, 1, 0, 1] -> 
  (-80640*li4half^2 - 6720*li4half*ln2^4 - 140*ln2^8 + 80640*li6half*z2 + 
    201600*li5half*ln2*z2 + 141120*li4half*ln2^2*z2 + 4312*ln2^6*z2 - 
    20160*s6*z2 + 90720*li4half*z2^2 - 10080*ln2^4*z2^2 + 2268*ln2^2*z2^3 - 
    45387*z2^4 - 161280*li5half*z3 - 252000*li4half*ln2*z3 - 9156*ln2^5*z3 + 
    57120*ln2^3*z2*z3 + 67662*ln2*z2^2*z3 - 85995*ln2^2*z3^2 - 
    12285*z2*z3^2 - 99540*ln2*z2*z5 + 196560*z3*z5)/40320, 
 H[0, 1, -1, -1, -1, -1, 1, -1, 1] -> 
  (-4032000*li4half^2 - 18816000*li8half - 8064000*li7half*ln2 - 
    448000*li5half*ln2^3 - 448000*li4half*ln2^4 - 6800*ln2^8 + 
    4368000*ln2^2*s6 - 2688000*ln2*s7a - 4032000*ln2*s7b - 6986175*s8a - 
    55608000*s8b - 3360000*s8c - 6048000*s8d + 13440000*li6half*z2 + 
    21504000*li5half*ln2*z2 + 12096000*li4half*ln2^2*z2 + 341600*ln2^6*z2 + 
    16800000*s6*z2 + 3561600*li4half*z2^2 - 1282400*ln2^4*z2^2 - 
    2241600*ln2^2*z2^3 - 2849208*z2^4 - 2016000*li5half*z3 - 
    20832000*li4half*ln2*z3 - 792400*ln2^5*z3 + 7980000*ln2^3*z2*z3 + 
    12100200*ln2*z2^2*z3 - 9061500*ln2^2*z3^2 + 7077000*z2*z3^2 + 
    3472000*ln2^3*z5 + 15456000*ln2*z2*z5 - 501375*z3*z5 - 2105250*ln2*z7)/
   2688000, H[0, 1, -1, -1, -1, -1, 0, 1, 1] -> 
  (70560000*li4half^2 + 5880000*li4half*ln2^4 + 122500*ln2^8 - 
    19152000*ln2^2*s6 + 85328775*s8a + 456624000*s8b + 38304000*s8c + 
    53424000*s8d + 70560000*li5half*ln2*z2 - 588000*ln2^6*z2 - 
    152712000*s6*z2 - 38707200*li4half*z2^2 + 298200*ln2^4*z2^2 + 
    41554800*ln2^2*z2^3 + 1515744*z2^4 - 152712000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 3624600*ln2^5*z3 - 43596000*ln2^3*z2*z3 - 
    103143600*ln2*z2^2*z3 + 50179500*ln2^2*z3^2 - 87601500*z2*z3^2 - 
    287343000*ln2*z2*z5 + 287555625*z3*z5)/28224000, 
 H[0, 1, -1, -1, -1, -1, 0, 0, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 + 
    19152000*ln2^2*s6 - 27359325*s8a - 43848000*s8b - 38304000*s8c + 
    27720000*s8d - 14112000*li6half*z2 + 3528000*li4half*ln2^2*z2 + 
    127400*ln2^6*z2 - 46620000*s6*z2 + 3427200*li4half*z2^2 + 
    657300*ln2^4*z2^2 + 2192400*ln2^2*z2^3 - 8076942*z2^4 - 
    36036000*li5half*z3 - 7056000*li4half*ln2*z3 + 6300*ln2^5*z3 - 
    3003000*ln2^3*z2*z3 + 12782700*ln2*z2^2*z3 + 14647500*ln2^2*z3^2 + 
    32476500*z2*z3^2 + 93744000*ln2*z2*z5 + 8300250*z3*z5)/7056000, 
 H[0, 1, -1, -1, -1, -1, 0, -1, 1] -> 
  (1411200*li4half^2 - 112896000*li8half - 22579200*li7half*ln2 + 
    117600*li4half*ln2^4 + 4130*ln2^8 + 4435200*ln2^2*s6 + 5745600*ln2*s7a + 
    2217600*ln2*s7b - 16126425*s8a - 65217600*s8b - 20361600*s8c + 
    11894400*s8d - 21168000*li6half*z2 - 2822400*li5half*ln2*z2 - 
    21560*ln2^6*z2 - 19555200*s6*z2 + 1179360*li4half*z2^2 + 
    566580*ln2^4*z2^2 + 6985440*ln2^2*z2^3 + 6312834*z2^4 - 
    21672000*li5half*z3 + 1764000*li4half*ln2*z3 + 254100*ln2^5*z3 - 
    4275600*ln2^3*z2*z3 + 243180*ln2*z2^2*z3 + 17454150*ln2^2*z3^2 + 
    12151125*z2*z3^2 + 3417750*ln2^3*z5 + 30910950*ln2*z2*z5 + 
    53290125*z3*z5 + 16326450*ln2*z7)/2822400, 
 H[0, 1, -1, -1, -1, -1, -1, 1, 1] -> 
  (-403200*li4half^2 + 4032000*li8half - 403200*li6half*ln2^2 - 
    134400*li5half*ln2^3 - 67200*li4half*ln2^4 - 1440*ln2^8 + 
    201600*ln2^2*s6 + 184275*s8a + 4939200*s8b - 403200*s8c + 806400*s8d - 
    1209600*li6half*z2 - 2419200*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 
    24080*ln2^6*z2 - 1814400*s6*z2 + 141120*li4half*z2^2 + 65520*ln2^4*z2^2 - 
    520560*ln2^2*z2^3 - 137736*z2^4 + 604800*li5half*z3 + 
    1411200*li4half*ln2*z3 + 71400*ln2^5*z3 - 655200*ln2^3*z2*z3 - 
    418320*ln2*z2^2*z3 + 1137150*ln2^2*z3^2 - 305550*z2*z3^2 + 
    651000*ln2^3*z5 + 1209600*ln2*z2*z5 - 870975*z3*z5)/806400, 
 H[0, 1, -1, -1, -1, -1, -1, 0, 1] -> 
  (336000*li4half^2 + 2688000*li8half + 28000*li4half*ln2^4 + 650*ln2^8 - 
    672000*ln2^2*s6 + 502425*s8a - 2352000*s8b + 1344000*s8c - 1680000*s8d + 
    336000*li6half*z2 - 336000*li5half*ln2*z2 - 336000*li4half*ln2^2*z2 - 
    12600*ln2^6*z2 + 3528000*s6*z2 - 520800*li4half*z2^2 - 20300*ln2^4*z2^2 - 
    295200*ln2^2*z2^3 + 314988*z2^4 + 2436000*li5half*z3 + 
    672000*li4half*ln2*z3 + 7700*ln2^5*z3 + 350000*ln2^3*z2*z3 + 
    75600*ln2*z2^2*z3 - 1071000*ln2^2*z3^2 - 354375*z2*z3^2 - 
    1396500*ln2*z2*z5 - 3606750*z3*z5)/672000, 
 H[0, 1, -1, -1, -1, -1, -1, -1, 1] -> 
  (403200*li4half^2 - 1612800*li8half + 806400*li7half*ln2 + 
    403200*li6half*ln2^2 + 134400*li5half*ln2^3 + 67200*li4half*ln2^4 + 
    1340*ln2^8 - 403200*ln2^2*s6 + 403200*ln2*s7a + 403200*ln2*s7b + 
    211050*s8a + 2419200*s8b + 403200*s8d - 403200*li6half*z2 - 
    201600*li4half*ln2^2*z2 - 8400*ln2^6*z2 - 1008000*s6*z2 - 
    241920*li4half*z2^2 + 66360*ln2^4*z2^2 + 603360*ln2^2*z2^3 + 
    405576*z2^4 - 705600*li5half*z3 + 705600*li4half*ln2*z3 + 
    17640*ln2^5*z3 - 235200*ln2^3*z2*z3 - 645120*ln2*z2^2*z3 + 
    349650*ln2^2*z3^2 - 100800*z2*z3^2 - 651000*ln2^3*z5 - 
    1184400*ln2*z2*z5 + 324450*z3*z5 - 2187675*ln2*z7)/806400, 
 H[0, 0, 1, 1, 1, 1, 1, 1, 1] -> (6*z2^4 - 35*z3*z5)/35, 
 H[0, 0, 1, 1, 1, 1, 1, 0, 1] -> (350*s8a - 514*z2^4 - 875*z2*z3^2 + 
    4375*z3*z5)/875, H[0, 0, 1, 1, 1, 1, 1, -1, 1] -> 
  (225792000*li8half + 56448000*li7half*ln2 - 5600*ln2^8 + 4032000*ln2^2*s6 - 
    14112000*ln2*s7a + 33517575*s8a + 172368000*s8b + 20160000*s8c + 
    1008000*s8d - 14112000*li6half*z2 + 58800*ln2^6*z2 - 12600000*s6*z2 - 
    2620800*li4half*z2^2 - 256200*ln2^4*z2^2 - 2671200*ln2^2*z2^3 - 
    18734508*z2^4 + 26208000*li5half*z3 - 218400*ln2^5*z3 - 
    4872000*ln2^3*z2*z3 - 10306800*ln2*z2^2*z3 - 20475000*ln2^2*z3^2 - 
    42903000*z2*z3^2 - 13671000*ln2^3*z5 - 103257000*ln2*z2*z5 + 
    25459875*z3*z5 + 41784750*ln2*z7)/28224000, 
 H[0, 0, 1, 1, 1, 1, 0, 1, 1] -> (-1225*s8a + 1574*z2^4 + 3500*z2*z3^2 - 
    14875*z3*z5)/1750, H[0, 0, 1, 1, 1, 1, 0, 0, 1] -> 
  (-z2^4 - 200*z2*z3^2 + 400*z3*z5)/200, H[0, 0, 1, 1, 1, 1, 0, -1, 1] -> 
  (-26880*ln2^2*s6 + 53760*ln2*s7a + 53760*ln2*s7b - 41265*s8a + 134400*s8b - 
    53760*s8c + 53760*s8d - 107520*s6*z2 - 9408*li4half*z2^2 - 
    392*ln2^4*z2^2 + 13104*ln2^2*z2^3 + 16836*z2^4 - 13440*li5half*z3 + 
    94080*li4half*ln2*z3 + 4032*ln2^5*z3 - 24640*ln2^3*z2*z3 - 
    44184*ln2*z2^2*z3 + 74760*ln2^2*z3^2 + 54810*z2*z3^2 + 3360*ln2*z2*z5 - 
    179445*z3*z5 + 108360*ln2*z7)/53760, H[0, 0, 1, 1, 1, 1, -1, 1, 1] -> 
  (-564480000*li8half + 56448000*li6half*ln2^2 + 64400*ln2^8 + 
    79632000*ln2^2*s6 - 292608225*s8a - 1642536000*s8b - 187488000*s8c - 
    122976000*s8d - 225792000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    392000*ln2^6*z2 + 387072000*s6*z2 - 7660800*li4half*z2^2 + 
    621600*ln2^4*z2^2 - 756000*ln2^2*z2^3 + 88916904*z2^4 + 
    55440000*li5half*z3 - 462000*ln2^5*z3 + 46956000*ln2^3*z2*z3 + 
    132615000*ln2*z2^2*z3 + 44005500*ln2^2*z3^2 + 314149500*z2*z3^2 + 
    647136000*ln2*z2*z5 - 366557625*z3*z5)/56448000, 
 H[0, 0, 1, 1, 1, 1, -1, 0, 1] -> (-7560000*ln2^2*s6 + 19865475*s8a + 
    86940000*s8b + 15120000*s8c + 2520000*s8d + 7056000*li6half*z2 + 
    9800*ln2^6*z2 - 15624000*s6*z2 + 6854400*li4half*z2^2 - 
    522900*ln2^4*z2^2 - 1701000*ln2^2*z2^3 - 2615814*z2^4 + 
    5544000*li5half*z3 - 46200*ln2^5*z3 + 462000*ln2^3*z2*z3 - 
    7377300*ln2*z2^2*z3 - 2126250*ln2^2*z3^2 - 23357250*z2*z3^2 - 
    45360000*ln2*z2*z5 + 28342125*z3*z5)/7056000, 
 H[0, 0, 1, 1, 1, 1, -1, -1, 1] -> 
  (248371200*li8half + 22579200*li7half*ln2 - 11289600*li6half*ln2^2 - 
    14000*ln2^8 - 44553600*ln2^2*s6 + 22176000*ln2*s7a + 8064000*ln2*s7b + 
    91109025*s8a + 639777600*s8b + 50400000*s8c + 73785600*s8d + 
    156800*ln2^6*z2 - 215308800*s6*z2 + 14757120*li4half*z2^2 - 
    490560*ln2^4*z2^2 + 8436960*ln2^2*z2^3 - 21643704*z2^4 - 
    143337600*li5half*z3 + 1194480*ln2^5*z3 - 17589600*ln2^3*z2*z3 - 
    88273080*ln2*z2^2*z3 + 17104500*ln2^2*z3^2 - 63333900*z2*z3^2 + 
    13671000*ln2^3*z5 - 174447000*ln2*z2*z5 + 112970025*z3*z5 + 
    16874550*ln2*z7)/11289600, H[0, 0, 1, 1, 1, 0, 1, 1, 1] -> 
  (-225*s8a - 62*z2^4 - 300*z2*z3^2 + 1125*z3*z5)/150, 
 H[0, 0, 1, 1, 1, 0, 1, 0, 1] -> (2100*s8a - 109*z2^4 + 2000*z2*z3^2 - 
    5000*z3*z5)/1000, H[0, 0, 1, 1, 1, 0, 1, -1, 1] -> 
  (9408000*ln2^2*s6 - 12768000*ln2*s7a - 12768000*ln2*s7b + 11720100*s8a + 
    16296000*s8b + 6720000*s8c - 6720000*s8d + 1680000*s6*z2 + 
    13003200*li4half*z2^2 + 541800*ln2^4*z2^2 - 5653200*ln2^2*z2^3 - 
    417224*z2^4 - 52416000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1621200*ln2^5*z3 + 7980000*ln2^3*z2*z3 - 352800*ln2*z2^2*z3 - 
    16905000*ln2^2*z3^2 + 9439500*z2*z3^2 + 87906000*ln2*z2*z5 + 
    6594000*z3*z5 - 160085625*ln2*z7)/9408000, 
 H[0, 0, 1, 1, 1, 0, 0, 1, 1] -> (-6300*s8a + 3907*z2^4 + 8400*z2*z3^2 - 
    33600*z3*z5)/4200, H[0, 0, 1, 1, 1, 0, 0, 0, 1] -> 
  (525*s8a - 652*z2^4 + 3325*z3*z5)/350, H[0, 0, 1, 1, 1, 0, 0, -1, 1] -> 
  (-672000*ln2^2*s6 + 1344000*ln2*s7a + 1344000*ln2*s7b - 982275*s8a - 
    4368000*s8b - 1344000*s8c + 1344000*s8d - 2688000*s6*z2 - 
    235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 327600*ln2^2*z2^3 - 
    1367584*z2^4 - 336000*li5half*z3 + 2352000*li4half*ln2*z3 + 
    100800*ln2^5*z3 - 616000*ln2^3*z2*z3 - 1104600*ln2*z2^2*z3 + 
    1869000*ln2^2*z3^2 + 446250*z2*z3^2 + 84000*ln2*z2*z5 + 5320875*z3*z5 + 
    18044250*ln2*z7)/672000, H[0, 0, 1, 1, 1, 0, -1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    4536000*ln2^2*s6 - 3277575*s8a + 29232000*s8b + 9072000*s8c - 
    9072000*s8d - 7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 
    17136000*s6*z2 - 8870400*li4half*z2^2 + 512400*ln2^4*z2^2 + 
    1990800*ln2^2*z2^3 + 6993438*z2^4 + 18144000*li5half*z3 - 
    151200*ln2^5*z3 + 1512000*ln2^3*z2*z3 + 22642200*ln2*z2^2*z3 - 
    19026000*ln2^2*z3^2 + 4000500*z2*z3^2 - 30523500*ln2*z2*z5 - 
    50699250*z3*z5)/14112000, H[0, 0, 1, 1, 1, 0, -1, 0, 1] -> 
  (246575*s8a - 504000*li4half*z2^2 - 21000*ln2^4*z2^2 + 126000*ln2^2*z2^3 - 
    9988*z2^4 - 441000*ln2*z2^2*z3 + 54250*z2*z3^2 + 893375*z3*z5)/224000, 
 H[0, 0, 1, 1, 1, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    5040000*ln2^2*s6 + 10080000*ln2*s7a + 10080000*ln2*s7b + 798525*s8a - 
    117936000*s8b - 10080000*s8c + 10080000*s8d - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 20160000*s6*z2 - 32558400*li4half*z2^2 + 
    407400*ln2^4*z2^2 + 10155600*ln2^2*z2^3 - 25022136*z2^4 + 
    29232000*li5half*z3 + 98784000*li4half*ln2*z3 + 3872400*ln2^5*z3 - 
    22260000*ln2^3*z2*z3 - 35229600*ln2*z2^2*z3 + 49518000*ln2^2*z3^2 - 
    11513250*z2*z3^2 + 630000*ln2*z2*z5 + 135142875*z3*z5 + 304353000*ln2*z7)/
   28224000, H[0, 0, 1, 1, 1, -1, 1, 1, 1] -> 
  (-42336000*li4half^2 + 9408000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 
    151900*ln2^8 - 41328000*ln2^2*s6 + 131917275*s8a + 1209096000*s8b + 
    82656000*s8c + 171360000*s8d + 169344000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 1254400*ln2^6*z2 - 476784000*s6*z2 + 
    44150400*li4half*z2^2 - 3570000*ln2^4*z2^2 - 3477600*ln2^2*z2^3 - 
    48378096*z2^4 + 45360000*li5half*z3 - 378000*ln2^5*z3 - 
    17388000*ln2^3*z2*z3 - 51219000*ln2*z2^2*z3 - 11623500*ln2^2*z3^2 - 
    163201500*z2*z3^2 + 4557000*ln2^3*z5 - 261639000*ln2*z2*z5 + 
    152515125*z3*z5)/28224000, H[0, 0, 1, 1, 1, -1, 1, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    16128000*ln2^2*s6 - 41282325*s8a - 343350000*s8b - 32256000*s8c - 
    38304000*s8d + 7056000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 
    352800*ln2^6*z2 + 111888000*s6*z2 - 41706000*li4half*z2^2 + 
    2378250*ln2^4*z2^2 + 2702700*ln2^2*z2^3 + 5956488*z2^4 - 
    8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 + 
    27568800*ln2*z2^2*z3 + 4536000*ln2^2*z3^2 + 45360000*z2*z3^2 + 
    100185750*ln2*z2*z5 - 14474250*z3*z5)/7056000, 
 H[0, 0, 1, 1, 1, -1, 1, -1, 1] -> 
  (-90316800*li8half - 22579200*li7half*ln2 - 3763200*li5half*ln2^3 + 
    33600*ln2^8 + 11289600*ln2^2*s6 - 14515200*ln2*s7a - 39916800*ln2*s7b - 
    5156550*s8a - 175996800*s8b + 6451200*s8c - 31852800*s8d + 
    16934400*li6half*z2 + 45158400*li5half*ln2*z2 + 
    16934400*li4half*ln2^2*z2 + 7840*ln2^6*z2 + 87696000*s6*z2 - 
    7781760*li4half*z2^2 - 100800*ln2^4*z2^2 + 4415040*ln2^2*z2^3 + 
    10914984*z2^4 + 35481600*li5half*z3 - 9878400*li4half*ln2*z3 - 
    707280*ln2^5*z3 + 16716000*ln2^3*z2*z3 + 40219200*ln2*z2^2*z3 - 
    19051200*ln2^2*z3^2 + 2217600*z2*z3^2 + 22785000*ln2^3*z5 + 
    104693400*ln2*z2*z5 - 19155150*z3*z5 - 305088525*ln2*z7)/11289600, 
 H[0, 0, 1, 1, 1, -1, 0, 1, 1] -> (3696000*ln2^2*s6 - 35735175*s8a - 
    243600000*s8b - 7392000*s8c - 39648000*s8d + 18816000*li5half*ln2*z2 - 
    156800*ln2^6*z2 + 126336000*s6*z2 - 5812800*li4half*z2^2 + 
    1325800*ln2^4*z2^2 - 697200*ln2^2*z2^3 + 14077872*z2^4 + 
    11088000*li5half*z3 - 92400*ln2^5*z3 + 924000*ln2^3*z2*z3 + 
    4649400*ln2*z2^2*z3 + 1039500*ln2^2*z3^2 + 38251500*z2*z3^2 + 
    31290000*ln2*z2*z5 - 105622125*z3*z5)/9408000, 
 H[0, 0, 1, 1, 1, -1, 0, 0, 1] -> (-380800*ln2^2*s6 + 1654275*s8a + 
    9945600*s8b + 761600*s8c + 1120000*s8d - 3180800*s6*z2 + 
    960960*li4half*z2^2 + 40040*ln2^4*z2^2 - 7280*ln2^2*z2^3 - 554816*z2^4 - 
    1142400*li5half*z3 + 9520*ln2^5*z3 - 95200*ln2^3*z2*z3 - 
    1548120*ln2*z2^2*z3 - 107100*ln2^2*z3^2 - 1193500*z2*z3^2 - 
    2284800*ln2*z2*z5 + 3557225*z3*z5)/313600, 
 H[0, 0, 1, 1, 1, -1, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    31752000*ln2^2*s6 + 36288000*ln2*s7a + 92736000*ln2*s7b - 144281025*s8a - 
    621936000*s8b - 136080000*s8c - 19152000*s8d + 56448000*li6half*z2 + 
    14112000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 627200*ln2^6*z2 + 
    124740000*s6*z2 - 14414400*li4half*z2^2 + 1163400*ln2^4*z2^2 - 
    17249400*ln2^2*z2^3 - 37568304*z2^4 - 95760000*li5half*z3 + 
    24696000*li4half*ln2*z3 + 1827000*ln2^5*z3 - 14154000*ln2^3*z2*z3 - 
    17375400*ln2*z2^2*z3 + 64496250*ln2^2*z3^2 + 123503625*z2*z3^2 - 
    54684000*ln2^3*z5 + 140899500*ln2*z2*z5 + 29476125*z3*z5 + 
    731107125*ln2*z7)/14112000, H[0, 0, 1, 1, 1, -1, -1, 1, 1] -> 
  (-67737600*li8half + 2257920*li6half*ln2^2 - 752640*li5half*ln2^3 + 
    7728*ln2^8 + 12579840*ln2^2*s6 - 34886565*s8a - 209160000*s8b - 
    22337280*s8c - 21692160*s8d + 9031680*li6half*z2 + 
    3386880*li5half*ln2*z2 - 1693440*li4half*ln2^2*z2 - 148960*ln2^6*z2 + 
    67939200*s6*z2 - 3773952*li4half*z2^2 + 901152*ln2^4*z2^2 - 
    3326400*ln2^2*z2^3 + 4716792*z2^4 + 38021760*li5half*z3 - 
    316848*ln2^5*z3 + 3168480*ln2^3*z2*z3 + 28323288*ln2*z2^2*z3 + 
    142380*ln2^2*z3^2 + 27822060*z2*z3^2 - 364560*ln2^3*z5 + 
    70187040*ln2*z2*z5 - 51345945*z3*z5)/2257920, 
 H[0, 0, 1, 1, 1, -1, -1, 0, 1] -> (-57456000*ln2^2*s6 + 202007925*s8a + 
    1059408000*s8b + 114912000*s8c + 124992000*s8d + 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 274400*ln2^6*z2 - 352296000*s6*z2 - 
    6753600*li4half*z2^2 - 11159400*ln2^4*z2^2 + 24292800*ln2^2*z2^3 - 
    18128232*z2^4 - 59472000*li5half*z3 + 495600*ln2^5*z3 - 
    4956000*ln2^3*z2*z3 - 163812600*ln2*z2^2*z3 - 16159500*ln2^2*z3^2 - 
    174604500*z2*z3^2 - 358407000*ln2*z2*z5 + 356178375*z3*z5)/28224000, 
 H[0, 0, 1, 1, 1, -1, -1, -1, 1] -> (12096000*li4half^2 + 145152000*li8half - 
    16128000*li7half*ln2 - 8064000*li6half*ln2^2 + 2688000*li5half*ln2^3 + 
    1008000*li4half*ln2^4 - 5800*ln2^8 - 9792000*ln2^2*s6 + 3744000*ln2*s7a + 
    36000000*ln2*s7b + 23894325*s8a + 203112000*s8b + 2016000*s8c + 
    34272000*s8d + 24192000*li6half*z2 - 6048000*li4half*ln2^2*z2 + 
    5600*ln2^6*z2 - 80640000*s6*z2 - 1612800*li4half*z2^2 - 
    1428000*ln2^4*z2^2 - 1742400*ln2^2*z2^3 - 24942888*z2^4 - 
    83664000*li5half*z3 + 21168000*li4half*ln2*z3 + 1579200*ln2^5*z3 - 
    14280000*ln2^3*z2*z3 - 58822200*ln2*z2^2*z3 + 15106500*ln2^2*z3^2 - 
    17923500*z2*z3^2 - 29946000*ln2^3*z5 - 112806000*ln2*z2*z5 + 
    85294125*z3*z5 + 293371875*ln2*z7)/8064000, 
 H[0, 0, 1, 1, 0, 1, 1, 1, 1] -> (875*s8a - 62*z2^4 + 175*z2*z3^2 - 
    700*z3*z5)/350, H[0, 0, 1, 1, 0, 1, 1, 0, 1] -> 
  (-3*(6300*s8a - 887*z2^4))/7000, H[0, 0, 1, 1, 0, 1, 1, -1, 1] -> 
  (-8568000*ln2^2*s6 + 8736000*ln2*s7a + 4032000*ln2*s7b + 232050*s8a + 
    34524000*s8b - 336000*s8c + 14448000*s8d - 27132000*s6*z2 - 
    3343200*li4half*z2^2 - 139300*ln2^4*z2^2 + 6367200*ln2^2*z2^3 - 
    2908902*z2^4 + 1680000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    1015000*ln2^5*z3 - 6034000*ln2^3*z2*z3 - 9387000*ln2*z2^2*z3 + 
    10967250*ln2^2*z3^2 - 6601875*z2*z3^2 + 4557000*ln2^3*z5 - 
    42441000*ln2*z2*z5 + 22396500*z3*z5 + 81209625*ln2*z7)/4704000, 
 H[0, 0, 1, 1, 0, 1, 0, 1, 1] -> (12600*s8a - 11219*z2^4 - 31500*z2*z3^2 + 
    115500*z3*z5)/7000, H[0, 0, 1, 1, 0, 1, 0, 0, 1] -> 
  (-4025*s8a + 5736*z2^4 - 29750*z3*z5)/1750, 
 H[0, 0, 1, 1, 0, 1, 0, -1, 1] -> (268800*ln2^2*s6 - 537600*ln2*s7a - 
    537600*ln2*s7b + 341775*s8a + 1176000*s8b + 537600*s8c - 537600*s8d + 
    1075200*s6*z2 + 94080*li4half*z2^2 + 3920*ln2^4*z2^2 - 
    131040*ln2^2*z2^3 + 446898*z2^4 + 134400*li5half*z3 - 
    940800*li4half*ln2*z3 - 40320*ln2^5*z3 + 246400*ln2^3*z2*z3 + 
    441840*ln2*z2^2*z3 - 747600*ln2^2*z3^2 - 279300*z2*z3^2 - 
    33600*ln2*z2*z5 - 1477350*z3*z5 - 6084225*ln2*z7)/134400, 
 H[0, 0, 1, 1, 0, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    16128000*ln2^2*s6 - 17578575*s8a - 61992000*s8b - 22848000*s8c - 
    5376000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 
    29568000*s6*z2 + 1747200*li4half*z2^2 - 1691200*ln2^4*z2^2 - 
    13490400*ln2^2*z2^3 - 2952132*z2^4 + 86016000*li5half*z3 - 
    716800*ln2^5*z3 + 7168000*ln2^3*z2*z3 + 18160800*ln2*z2^2*z3 + 
    12768000*ln2^2*z3^2 - 4326000*z2*z3^2 + 29515500*ln2*z2*z5 - 
    22669500*z3*z5)/9408000, H[0, 0, 1, 1, 0, 1, -1, 0, 1] -> 
  (-502950*s8a - 2604000*s8b + 168000*s6*z2 + 789600*li4half*z2^2 + 
    32900*ln2^4*z2^2 - 197400*ln2^2*z2^3 + 19968*z2^4 + 2079000*ln2*z2^2*z3 + 
    341250*z2*z3^2 - 2816625*z3*z5)/336000, H[0, 0, 1, 1, 0, 1, -1, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    5846400*ln2^2*s6 - 12230400*ln2*s7a - 10348800*ln2*s7b + 4695075*s8a + 
    4032000*s8b + 10886400*s8c - 10886400*s8d + 2822400*li4half*ln2^2*z2 + 
    117600*ln2^6*z2 + 23419200*s6*z2 + 4361280*li4half*z2^2 - 
    171080*ln2^4*z2^2 - 2375520*ln2^2*z2^3 + 6201708*z2^4 + 
    14246400*li5half*z3 - 19756800*li4half*ln2*z3 - 941920*ln2^5*z3 + 
    6126400*ln2^3*z2*z3 + 14117040*ln2*z2^2*z3 - 18729900*ln2^2*z3^2 - 
    5335050*z2*z3^2 - 1822800*ln2^3*z5 - 2318400*ln2*z2*z5 - 29300250*z3*z5 - 
    95097975*ln2*z7)/1881600, H[0, 0, 1, 1, 0, 0, 1, 1, 1] -> z2^4/1400, 
 H[0, 0, 1, 1, 0, 0, 1, 0, 1] -> (-350*s8a + 66*z2^4 - 175*z3*z5)/350, 
 H[0, 0, 1, 1, 0, 0, 1, -1, 1] -> (-672000*ln2^2*s6 + 672000*ln2*s7a + 
    672000*ln2*s7b - 232050*s8a + 1680000*s8b - 336000*s6*z2 + 
    117600*ln2^2*z2^3 + 196002*z2^4 - 2352000*li5half*z3 + 19600*ln2^5*z3 - 
    196000*ln2^3*z2*z3 - 1516200*ln2*z2^2*z3 + 840000*ln2^2*z3^2 + 
    89250*z2*z3^2 - 1974000*ln2*z2*z5 + 1514625*z3*z5 + 3354750*ln2*z7)/
   672000, H[0, 0, 1, 1, 0, 0, 0, 1, 1] -> 
  (482*z2^4 + 1575*z2*z3^2 - 5775*z3*z5)/1050, 
 H[0, 0, 1, 1, 0, 0, 0, 0, 1] -> (35*s8a - 36*z2^4 + 210*z3*z5)/35, 
 H[0, 0, 1, 1, 0, 0, 0, -1, 1] -> (16575*s8a - 120000*s8b - 27058*z2^4 - 
    6000*z2*z3^2 + 121500*z3*z5 + 238125*ln2*z7)/48000, 
 H[0, 0, 1, 1, 0, 0, -1, 1, 1] -> (2016000*li4half^2 + 168000*li4half*ln2^4 + 
    3500*ln2^8 + 504000*ln2^2*s6 - 508725*s8a - 1512000*s8b - 1008000*s8c + 
    1008000*s8d - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 3024000*s6*z2 + 
    126000*ln2^4*z2^2 + 25200*ln2^2*z2^3 - 401526*z2^4 - 2016000*li5half*z3 + 
    16800*ln2^5*z3 - 168000*ln2^3*z2*z3 + 1600200*ln2*z2^2*z3 - 
    630000*ln2^2*z3^2 + 2677500*z2*z3^2 + 5953500*ln2*z2*z5 - 4709250*z3*z5)/
   1008000, H[0, 0, 1, 1, 0, 0, -1, 0, 1] -> 
  (19775*s8a - 504000*li4half*z2^2 - 21000*ln2^4*z2^2 + 126000*ln2^2*z2^3 + 
    46944*z2^4 - 441000*ln2*z2^2*z3 - 85750*z2*z3^2 + 1005375*z3*z5)/112000, 
 H[0, 0, 1, 1, 0, 0, -1, -1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 2520000*ln2^2*s6 + 
    5040000*ln2*s7a + 5040000*ln2*s7b - 2195550*s8a - 2016000*s8b - 
    5040000*s8c + 5040000*s8d - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 
    10080000*s6*z2 - 2217600*li4half*z2^2 + 33600*ln2^4*z2^2 + 
    1562400*ln2^2*z2^3 - 2413638*z2^4 - 3024000*li5half*z3 + 
    10584000*li4half*ln2*z3 + 466200*ln2^5*z3 - 2898000*ln2^3*z2*z3 - 
    5310900*ln2*z2^2*z3 + 7780500*ln2^2*z3^2 + 2457000*z2*z3^2 + 
    315000*ln2*z2*z5 + 8733375*z3*z5 + 39162375*ln2*z7)/1008000, 
 H[0, 0, 1, 1, 0, -1, 1, 1, 1] -> (-7728000*ln2^2*s6 + 24396225*s8a - 
    18144000*s8b + 15456000*s8c - 6048000*s8d + 33264000*s6*z2 + 
    672000*li4half*z2^2 + 28000*ln2^4*z2^2 + 5317200*ln2^2*z2^3 - 
    1461504*z2^4 - 25536000*li5half*z3 + 212800*ln2^5*z3 - 
    2128000*ln2^3*z2*z3 - 17215800*ln2*z2^2*z3 - 2173500*ln2^2*z3^2 - 
    21000000*z2*z3^2 - 3038000*ln2^3*z5 - 37254000*ln2*z2*z5 + 
    67244625*z3*z5)/9408000, H[0, 0, 1, 1, 0, -1, 1, 0, 1] -> 
  (-1086225*s8a + 5208000*s8b + 2956800*li4half*z2^2 + 123200*ln2^4*z2^2 - 
    739200*ln2^2*z2^3 - 56886*z2^4 - 189000*ln2*z2^2*z3 - 651000*ln2*z2*z5 - 
    4087125*z3*z5)/672000, H[0, 0, 1, 1, 0, -1, 1, -1, 1] -> 
  (10752000*ln2^2*s6 + 10752000*ln2*s7a + 20160000*ln2*s7b - 44756775*s8a - 
    114408000*s8b - 43008000*s8c + 5376000*s8d + 3360000*s6*z2 + 
    1075200*li4half*z2^2 + 44800*ln2^4*z2^2 - 11172000*ln2^2*z2^3 - 
    6200844*z2^4 + 15120000*li5half*z3 - 126000*ln2^5*z3 + 
    1260000*ln2^3*z2*z3 + 12793200*ln2*z2^2*z3 + 19488000*ln2^2*z3^2 + 
    37658250*z2*z3^2 - 6076000*ln2^3*z5 + 48709500*ln2*z2*z5 - 
    49819875*z3*z5 + 160503000*ln2*z7)/9408000, 
 H[0, 0, 1, 1, 0, -1, 0, 1, 1] -> (1800*s8a + 16000*s6*z2 - 2027*z2^4 - 
    23250*z2*z3^2 - 31000*ln2*z2*z5 + 63375*z3*z5)/16000, 
 H[0, 0, 1, 1, 0, -1, 0, 0, 1] -> (21700*s8a + 35157*z2^4 - 207375*z3*z5)/
   56000, H[0, 0, 1, 1, 0, -1, 0, -1, 1] -> 
  (672000*ln2^2*s6 - 1344000*ln2*s7a - 1344000*ln2*s7b + 756525*s8a + 
    840000*s8b + 1344000*s8c - 1344000*s8d + 2856000*s6*z2 + 
    235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 327600*ln2^2*z2^3 + 734709*z2^4 + 
    336000*li5half*z3 - 2352000*li4half*ln2*z3 - 100800*ln2^5*z3 + 
    616000*ln2^3*z2*z3 + 1104600*ln2*z2^2*z3 - 1869000*ln2^2*z3^2 - 
    847875*z2*z3^2 - 409500*ln2*z2*z5 - 1648500*z3*z5 - 11043375*ln2*z7)/
   336000, H[0, 0, 1, 1, 0, -1, -1, 1, 1] -> 
  (-3696000*ln2^2*s6 + 4923975*s8a + 14280000*s8b + 5040000*s8c - 
    336000*s8d + 1260000*s6*z2 + 403200*li4half*z2^2 + 16800*ln2^4*z2^2 + 
    1711500*ln2^2*z2^3 + 794286*z2^4 - 8736000*li5half*z3 + 72800*ln2^5*z3 - 
    728000*ln2^3*z2*z3 - 5854800*ln2*z2^2*z3 - 139125*ln2^2*z3^2 - 
    5617500*z2*z3^2 + 759500*ln2^3*z5 - 17325000*ln2*z2*z5 + 14721000*z3*z5)/
   2352000, H[0, 0, 1, 1, 0, -1, -1, 0, 1] -> 
  (280*s8a - 2240*s6*z2 - 421*z2^4 + 1085*z2*z3^2 + 4340*ln2*z2*z5 - 
    1085*z3*z5)/4480, H[0, 0, 1, 1, 0, -1, -1, -1, 1] -> 
  (168000*ln2^2*s6 - 336000*ln2*s7a - 1008000*ln2*s7b + 911925*s8a + 
    3360000*s8b + 1008000*s8c - 336000*s8d + 336000*s6*z2 + 
    184800*li4half*z2^2 + 7700*ln2^4*z2^2 - 113400*ln2^2*z2^3 + 362358*z2^4 - 
    504000*li5half*z3 - 1176000*li4half*ln2*z3 - 44800*ln2^5*z3 + 
    252000*ln2^3*z2*z3 + 214200*ln2*z2^2*z3 - 724500*ln2^2*z3^2 - 
    774375*z2*z3^2 + 434000*ln2^3*z5 - 42000*ln2*z2*z5 + 28875*z3*z5 - 
    7688625*ln2*z7)/672000, H[0, 0, 1, 1, -1, 1, 1, 1, 1] -> 
  (-8064000*li4half^2 + 80640000*li8half + 16000*ln2^8 + 5040000*ln2^2*s6 - 
    22968225*s8a - 340200000*s8b - 10080000*s8c - 62496000*s8d - 
    80640000*li6half*z2 - 336000*ln2^6*z2 + 161280000*s6*z2 - 
    17337600*li4half*z2^2 + 1764000*ln2^4*z2^2 + 1980000*ln2^2*z2^3 + 
    16425864*z2^4 + 12096000*li5half*z3 - 100800*ln2^5*z3 + 
    1260000*ln2^3*z2*z3 + 10999800*ln2*z2^2*z3 + 1417500*ln2^2*z3^2 + 
    28570500*z2*z3^2 + 30240000*ln2*z2*z5 - 31523625*z3*z5)/8064000, 
 H[0, 0, 1, 1, -1, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    73584000*ln2^2*s6 + 221317425*s8a + 2052792000*s8b + 147168000*s8c + 
    276192000*s8d - 764064000*s6*z2 + 272563200*li4half*z2^2 - 
    6283200*ln2^4*z2^2 - 8265600*ln2^2*z2^3 - 66588552*z2^4 - 
    213696000*li5half*z3 - 7056000*li4half*ln2*z3 + 1486800*ln2^5*z3 - 
    16044000*ln2^3*z2*z3 - 164745000*ln2*z2^2*z3 - 20695500*ln2^2*z3^2 - 
    200340000*z2*z3^2 - 441504000*ln2*z2*z5 + 181463625*z3*z5)/28224000, 
 H[0, 0, 1, 1, -1, 1, 1, -1, 1] -> (-1881600*li4half^2 - 67737600*li8half - 
    7526400*li7half*ln2 - 470400*li4half*ln2^4 - 16520*ln2^8 + 
    21705600*ln2^2*s6 - 14784000*ln2*s7a + 268800*ln2*s7b - 21935025*s8a - 
    102177600*s8b - 13843200*s8c - 5913600*s8d - 16934400*li6half*z2 - 
    22579200*li5half*ln2*z2 + 258720*ln2^6*z2 + 14649600*s6*z2 + 
    6814080*li4half*z2^2 - 1209600*ln2^4*z2^2 - 8336160*ln2^2*z2^3 + 
    4059336*z2^4 + 21235200*li5half*z3 - 29635200*li4half*ln2*z3 - 
    1411760*ln2^5*z3 + 9178400*ln2^3*z2*z3 + 26220600*ln2*z2^2*z3 - 
    16533300*ln2^2*z3^2 + 16453500*z2*z3^2 - 14582400*ln2^3*z5 + 
    37711800*ln2*z2*z5 - 13900425*z3*z5 + 41111700*ln2*z7)/3763200, 
 H[0, 0, 1, 1, -1, 1, 0, 1, 1] -> (5644800*li4half^2 + 470400*li4half*ln2^4 + 
    9800*ln2^8 - 16531200*ln2^2*s6 + 67458825*s8a + 377092800*s8b + 
    33062400*s8c + 51609600*s8d + 67737600*li6half*z2 + 
    2822400*li4half*ln2^2*z2 + 211680*ln2^6*z2 - 141321600*s6*z2 + 
    2701440*li4half*z2^2 - 2357040*ln2^4*z2^2 + 4536000*ln2^2*z2^3 - 
    21350556*z2^4 - 46771200*li5half*z3 + 2822400*li4half*ln2*z3 + 
    507360*ln2^5*z3 - 4603200*ln2^3*z2*z3 - 35781480*ln2*z2^2*z3 - 
    4649400*ln2^2*z3^2 - 67000500*z2*z3^2 - 99187200*ln2*z2*z5 + 
    147078225*z3*z5)/5644800, H[0, 0, 1, 1, -1, 1, 0, 0, 1] -> 
  (21840000*ln2^2*s6 - 75941775*s8a - 388752000*s8b - 43680000*s8c - 
    40992000*s8d + 124320000*s6*z2 - 35246400*li4half*z2^2 - 
    1468600*ln2^4*z2^2 - 1436400*ln2^2*z2^3 + 19729236*z2^4 + 
    72576000*li5half*z3 + 7056000*li4half*ln2*z3 - 310800*ln2^5*z3 + 
    4284000*ln2^3*z2*z3 + 50967000*ln2*z2^2*z3 + 6142500*ln2^2*z3^2 + 
    49371000*z2*z3^2 + 131040000*ln2*z2*z5 - 155922375*z3*z5)/4704000, 
 H[0, 0, 1, 1, -1, 1, 0, -1, 1] -> (322560*li4half^2 + 26880*li4half*ln2^4 + 
    560*ln2^8 - 992640*ln2^2*s6 + 441600*ln2*s7a - 311040*ln2*s7b + 
    1581405*s8a + 8312640*s8b + 1102080*s8c + 994560*s8d - 
    322560*li6half*z2 - 134400*li4half*ln2^2*z2 - 6048*ln2^6*z2 - 
    3158400*s6*z2 - 172032*li4half*z2^2 + 12992*ln2^4*z2^2 + 
    503520*ln2^2*z2^3 + 100740*z2^4 - 1196160*li5half*z3 + 
    819840*li4half*ln2*z3 + 44128*ln2^5*z3 - 304640*ln2^3*z2*z3 - 
    1197624*ln2*z2^2*z3 + 397020*ln2^2*z3^2 - 1160670*z2*z3^2 + 
    729120*ln2^3*z5 - 2369040*ln2*z2*z5 + 2195865*z3*z5 - 2400165*ln2*z7)/
   53760, H[0, 0, 1, 1, -1, 1, -1, 1, 1] -> 
  (-42336000*li4half^2 - 28224000*li6half*ln2^2 - 5880000*li4half*ln2^4 - 
    210700*ln2^8 - 5544000*ln2^2*s6 + 102184425*s8a + 481824000*s8b + 
    74592000*s8c - 4032000*s8d + 56448000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 77616000*li4half*ln2^2*z2 + 4135600*ln2^6*z2 - 
    16632000*s6*z2 - 9979200*li4half*z2^2 - 17526600*ln2^4*z2^2 - 
    5594400*ln2^2*z2^3 + 9644328*z2^4 + 46872000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 978600*ln2^5*z3 + 3906000*ln2^3*z2*z3 - 
    105625800*ln2*z2^2*z3 + 15419250*ln2^2*z3^2 - 148664250*z2*z3^2 - 
    389151000*ln2*z2*z5 + 217389375*z3*z5)/28224000, 
 H[0, 0, 1, 1, -1, 1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    65520000*ln2^2*s6 - 214551225*s8a - 1125684000*s8b - 131040000*s8c - 
    115920000*s8d - 14112000*li6half*z2 + 7056000*li4half*ln2^2*z2 + 
    274400*ln2^6*z2 + 371196000*s6*z2 + 30088800*li4half*z2^2 + 
    10808700*ln2^4*z2^2 - 44175600*ln2^2*z2^3 + 7547364*z2^4 + 
    210672000*li5half*z3 + 28224000*li4half*ln2*z3 - 579600*ln2^5*z3 + 
    10500000*ln2^3*z2*z3 + 239513400*ln2*z2^2*z3 + 18427500*ln2^2*z3^2 + 
    159523875*z2*z3^2 + 393120000*ln2*z2*z5 - 466554375*z3*z5)/14112000, 
 H[0, 0, 1, 1, -1, 1, -1, -1, 1] -> (14112000*li4half^2 - 169344000*li8half - 
    28224000*li7half*ln2 + 14112000*li6half*ln2^2 + 2352000*li4half*ln2^4 + 
    94500*ln2^8 - 29988000*ln2^2*s6 - 21672000*ln2*s7a - 53424000*ln2*s7b + 
    42135975*s8a + 44604000*s8b + 71568000*s8c - 36288000*s8d - 
    14112000*li6half*z2 - 24696000*li4half*ln2^2*z2 - 1636600*ln2^6*z2 + 
    70812000*s6*z2 - 25956000*li4half*z2^2 + 6415500*ln2^4*z2^2 + 
    27165600*ln2^2*z2^3 + 55153926*z2^4 + 144900000*li5half*z3 + 
    44100000*li4half*ln2*z3 + 630000*ln2^5*z3 + 2373000*ln2^3*z2*z3 + 
    49568400*ln2*z2^2*z3 - 50108625*ln2^2*z3^2 - 41713875*z2*z3^2 + 
    30759750*ln2^3*z5 - 56778750*ln2*z2*z5 - 152026875*z3*z5 - 
    516237750*ln2*z7)/14112000, H[0, 0, 1, 1, -1, 0, 1, 1, 1] -> 
  (7056000*li4half^2 + 588000*li4half*ln2^4 + 12250*ln2^8 + 
    6300000*ln2^2*s6 - 14825475*s8a + 74844000*s8b - 12600000*s8c + 
    12600000*s8d - 3528000*li4half*ln2^2*z2 - 147000*ln2^6*z2 - 
    62244000*s6*z2 + 2167200*li4half*z2^2 + 531300*ln2^4*z2^2 - 
    5329800*ln2^2*z2^3 - 527811*z2^4 + 17136000*li5half*z3 - 
    1764000*li4half*ln2*z3 - 216300*ln2^5*z3 + 1869000*ln2^3*z2*z3 + 
    13608000*ln2*z2^2*z3 + 1771875*ln2^2*z3^2 + 21632625*z2*z3^2 + 
    37800000*ln2*z2*z5 - 71182125*z3*z5)/7056000, 
 H[0, 0, 1, 1, -1, 0, 1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    2520000*ln2^2*s6 + 5791275*s8a - 35406000*s8b + 5040000*s8c - 
    5040000*s8d + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 
    10080000*s6*z2 - 16002000*li4half*z2^2 - 1548750*ln2^4*z2^2 + 
    6709500*ln2^2*z2^3 + 3088809*z2^4 - 18144000*li5half*z3 - 
    10584000*li4half*ln2*z3 - 289800*ln2^5*z3 + 1134000*ln2^3*z2*z3 - 
    7560000*ln2*z2^2*z3 - 708750*ln2^2*z3^2 - 3559500*z2*z3^2 - 
    15120000*ln2*z2*z5 + 48328875*z3*z5)/3528000, 
 H[0, 0, 1, 1, -1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    114912000*ln2^2*s6 + 8064000*ln2*s7a + 64512000*ln2*s7b - 354499425*s8a - 
    1961064000*s8b - 245952000*s8c - 262080000*s8d + 338688000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1411200*ln2^6*z2 + 
    940464000*s6*z2 + 11088000*li4half*z2^2 + 14574000*ln2^4*z2^2 - 
    89560800*ln2^2*z2^3 - 20707608*z2^4 + 248976000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 1780800*ln2^5*z3 + 18984000*ln2^3*z2*z3 + 
    188004600*ln2*z2^2*z3 + 44667000*ln2^2*z3^2 + 220295250*z2*z3^2 - 
    54684000*ln2^3*z5 + 580986000*ln2*z2*z5 - 546832125*z3*z5 + 
    149152500*ln2*z7)/28224000, H[0, 0, 1, 1, -1, 0, 0, 1, 1] -> 
  (1008000*li4half^2 + 84000*li4half*ln2^4 + 1750*ln2^8 - 252000*ln2^2*s6 - 
    234675*s8a - 4536000*s8b + 504000*s8c - 504000*s8d - 
    504000*li4half*ln2^2*z2 - 21000*ln2^6*z2 + 3528000*s6*z2 - 
    806400*li4half*z2^2 + 29400*ln2^4*z2^2 + 189000*ln2^2*z2^3 + 
    576717*z2^4 + 756000*li4half*ln2*z3 + 31500*ln2^5*z3 - 
    189000*ln2^3*z2*z3 - 415800*ln2*z2^2*z3 - 70875*ln2^2*z3^2 + 
    55125*z2*z3^2 - 1512000*ln2*z2*z5 - 1590750*z3*z5)/504000, 
 H[0, 0, 1, 1, -1, 0, 0, 0, 1] -> 
  (21525*s8a + 126000*s8b + 37200*li4half*z2^2 + 1550*ln2^4*z2^2 - 
    36300*ln2^2*z2^3 - 21231*z2^4 + 23625*z3*z5)/12000, 
 H[0, 0, 1, 1, -1, 0, 0, -1, 1] -> (72576000*ln2^2*s6 - 28896000*ln2*s7a + 
    27552000*ln2*s7b - 126077700*s8a - 678720000*s8b - 87360000*s8c - 
    81984000*s8d + 246288000*s6*z2 - 10752000*li4half*z2^2 - 
    448000*ln2^4*z2^2 - 31029600*ln2^2*z2^3 + 1162438*z2^4 + 
    123984000*li5half*z3 - 23520000*li4half*ln2*z3 - 2013200*ln2^5*z3 + 
    16212000*ln2^3*z2*z3 + 93571800*ln2*z2^2*z3 - 23835000*ln2^2*z3^2 + 
    98337750*z2*z3^2 - 54684000*ln2^3*z5 + 179382000*ln2*z2*z5 - 
    207125625*z3*z5 + 195336750*ln2*z7)/4704000, 
 H[0, 0, 1, 1, -1, 0, -1, 1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 - 1881600*ln2^2*s6 + 
    4205250*s8a + 24057600*s8b + 2688000*s8c + 3763200*s8d + 
    6451200*li6half*z2 + 2419200*li5half*ln2*z2 - 11200*ln2^6*z2 - 
    7795200*s6*z2 - 134400*li4half*z2^2 - 39200*ln2^4*z2^2 + 
    943200*ln2^2*z2^3 - 1173176*z2^4 - 4771200*li5half*z3 + 
    537600*li4half*ln2*z3 + 62160*ln2^5*z3 - 532000*ln2^3*z2*z3 - 
    2621640*ln2*z2^2*z3 - 514500*ln2^2*z3^2 - 3740100*z2*z3^2 - 
    9368100*ln2*z2*z5 + 6126225*z3*z5)/268800, 
 H[0, 0, 1, 1, -1, 0, -1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    3628800*ln2^2*s6 + 1305675*s8a + 16128000*s8b - 7257600*s8c + 
    7257600*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    20160000*s6*z2 - 9132480*li4half*z2^2 - 1086120*ln2^4*z2^2 + 
    1557360*ln2^2*z2^3 - 3013884*z2^4 - 403200*li5half*z3 - 
    11289600*li4half*ln2*z3 - 467040*ln2^5*z3 + 2788800*ln2^3*z2*z3 - 
    10757880*ln2*z2^2*z3 + 1020600*ln2^2*z3^2 + 2863350*z2*z3^2 + 
    21772800*ln2*z2*z5 + 32676525*z3*z5)/2822400, 
 H[0, 0, 1, 1, -1, 0, -1, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    6192000*ln2^2*s6 + 19008000*ln2*s7a + 10944000*ln2*s7b - 27044325*s8a - 
    100800000*s8b - 34272000*s8c + 10080000*s8d + 2016000*li4half*ln2^2*z2 + 
    84000*ln2^6*z2 - 11592000*s6*z2 + 1108800*li4half*z2^2 - 
    205800*ln2^4*z2^2 - 5767200*ln2^2*z2^3 - 13739892*z2^4 - 
    11088000*li5half*z3 + 13104000*li4half*ln2*z3 + 638400*ln2^5*z3 - 
    4200000*ln2^3*z2*z3 - 2768400*ln2*z2^2*z3 + 30627000*ln2^2*z3^2 + 
    24302250*z2*z3^2 + 7812000*ln2^3*z5 + 70920000*ln2*z2*z5 + 
    27704250*z3*z5 + 135342000*ln2*z7)/4032000, 
 H[0, 0, 1, 1, -1, -1, 1, 1, 1] -> (56448000*li4half^2 + 564480000*li8half + 
    6272000*li5half*ln2^3 + 3136000*li4half*ln2^4 - 5600*ln2^8 - 
    102480000*ln2^2*s6 + 278946675*s8a + 1648920000*s8b + 204960000*s8c + 
    133728000*s8d - 150528000*li6half*z2 - 18816000*li5half*ln2*z2 + 
    470400*ln2^6*z2 - 540288000*s6*z2 + 4166400*li4half*z2^2 - 
    7274400*ln2^4*z2^2 + 35666400*ln2^2*z2^3 - 7931592*z2^4 - 
    309792000*li5half*z3 + 4704000*li4half*ln2*z3 + 2777600*ln2^5*z3 - 
    25816000*ln2^3*z2*z3 - 227971800*ln2*z2^2*z3 - 28822500*ln2^2*z3^2 - 
    178783500*z2*z3^2 - 7595000*ln2^3*z5 - 592095000*ln2*z2*z5 + 
    272173125*z3*z5)/18816000, H[0, 0, 1, 1, -1, -1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    13944000*ln2^2*s6 - 33729675*s8a - 151536000*s8b - 27888000*s8c - 
    9744000*s8d + 4704000*li5half*ln2*z2 + 11760000*li4half*ln2^2*z2 + 
    450800*ln2^6*z2 + 38304000*s6*z2 + 10281600*li4half*z2^2 + 
    526400*ln2^4*z2^2 - 7064400*ln2^2*z2^3 - 3782538*z2^4 + 
    28896000*li5half*z3 - 15288000*li4half*ln2*z3 - 877800*ln2^5*z3 + 
    6230000*ln2^3*z2*z3 + 29425200*ln2*z2^2*z3 + 3921750*ln2^2*z3^2 + 
    26796000*z2*z3^2 + 77967750*ln2*z2*z5 - 45861375*z3*z5)/4704000, 
 H[0, 0, 1, 1, -1, -1, 1, -1, 1] -> (-6773760*li4half^2 - 49674240*li8half + 
    4515840*li7half*ln2 - 752640*li5half*ln2^3 - 376320*li4half*ln2^4 + 
    224*ln2^8 + 6491520*ln2^2*s6 + 4677120*ln2*s7a + 1854720*ln2*s7b - 
    27931995*s8a - 144809280*s8b - 22337280*s8c - 9838080*s8d - 
    5644800*li6half*z2 - 11289600*li5half*ln2*z2 - 3386880*li4half*ln2^2*z2 - 
    111328*ln2^6*z2 + 32941440*s6*z2 + 2548224*li4half*z2^2 + 
    1176336*ln2^4*z2^2 - 3665088*ln2^2*z2^3 + 1693296*z2^4 + 
    20805120*li5half*z3 - 564480*li4half*ln2*z3 - 196896*ln2^5*z3 + 
    1663200*ln2^3*z2*z3 + 17403624*ln2*z2^2*z3 + 8987580*ln2^2*z3^2 + 
    23103360*z2*z3^2 + 3645600*ln2^3*z5 + 73576440*ln2*z2*z5 - 
    22914675*z3*z5 + 8383095*ln2*z7)/2257920, 
 H[0, 0, 1, 1, -1, -1, 0, 1, 1] -> (12768000*ln2^2*s6 - 60435900*s8a - 
    440832000*s8b - 25536000*s8c - 68544000*s8d + 18816000*li5half*ln2*z2 - 
    9408000*li4half*ln2^2*z2 - 548800*ln2^6*z2 + 224112000*s6*z2 - 
    13708800*li4half*z2^2 + 3348800*ln2^4*z2^2 - 5359200*ln2^2*z2^3 + 
    12576336*z2^4 + 50064000*li5half*z3 + 11760000*li4half*ln2*z3 + 
    72800*ln2^5*z3 + 1232000*ln2^3*z2*z3 + 30454200*ln2*z2^2*z3 + 
    3591000*ln2^2*z3^2 + 28339500*z2*z3^2 + 53823000*ln2*z2*z5 - 
    66808875*z3*z5)/9408000, H[0, 0, 1, 1, -1, -1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    41328000*ln2^2*s6 + 132766200*s8a + 768096000*s8b + 82656000*s8c + 
    86688000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    258048000*s6*z2 + 56851200*li4half*z2^2 + 4132800*ln2^4*z2^2 + 
    6400800*ln2^2*z2^3 - 15837588*z2^4 - 95760000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 1974000*ln2^5*z3 - 15036000*ln2^3*z2*z3 - 
    86146200*ln2*z2^2*z3 - 11623500*ln2^2*z3^2 - 94405500*z2*z3^2 - 
    247968000*ln2*z2*z5 + 129472875*z3*z5)/14112000, 
 H[0, 0, 1, 1, -1, -1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    392112000*ln2^2*s6 - 219744000*ln2*s7a + 62496000*ln2*s7b - 
    546599025*s8a - 3058272000*s8b - 344736000*s8c - 445536000*s8d + 
    225792000*li6half*z2 + 28224000*li5half*ln2*z2 + 78400*ln2^6*z2 + 
    1381464000*s6*z2 - 33364800*li4half*z2^2 - 1978200*ln2^4*z2^2 - 
    175089600*ln2^2*z2^3 + 26442936*z2^4 + 679392000*li5half*z3 - 
    183456000*li4half*ln2*z3 - 13305600*ln2^5*z3 + 102480000*ln2^3*z2*z3 + 
    523479600*ln2*z2^2*z3 - 226201500*ln2^2*z3^2 + 386221500*z2*z3^2 - 
    273420000*ln2^3*z5 + 807628500*ln2*z2*z5 - 1209434625*z3*z5 + 
    171564750*ln2*z7)/28224000, H[0, 0, 1, 1, -1, -1, -1, 1, 1] -> 
  (12096000*li4half^2 - 4032000*li6half*ln2^2 - 1344000*li5half*ln2^3 + 
    1344000*li4half*ln2^4 + 40600*ln2^8 - 16128000*ln2^2*s6 + 15441300*s8a + 
    46368000*s8b + 16128000*s8c + 2016000*s8d + 40320000*li6half*z2 + 
    30240000*li5half*ln2*z2 - 308000*ln2^6*z2 + 13104000*s6*z2 - 
    6854400*li4half*z2^2 + 1159200*ln2^4*z2^2 + 8892000*ln2^2*z2^3 - 
    2158992*z2^4 - 23688000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    491400*ln2^5*z3 - 3612000*ln2^3*z2*z3 - 14956200*ln2*z2^2*z3 - 
    1338750*ln2^2*z3^2 - 20396250*z2*z3^2 + 1627500*ln2^3*z5 - 
    71631000*ln2*z2*z5 + 31870125*z3*z5)/4032000, 
 H[0, 0, 1, 1, -1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    33264000*ln2^2*s6 + 184697100*s8a + 1211616000*s8b + 66528000*s8c + 
    201600000*s8d - 28224000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1372000*ln2^6*z2 - 593712000*s6*z2 + 
    24796800*li4half*z2^2 - 13960800*ln2^4*z2^2 + 30794400*ln2^2*z2^3 - 
    40983804*z2^4 - 156240000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    1050000*ln2^5*z3 + 1092000*ln2^3*z2*z3 - 147684600*ln2*z2^2*z3 - 
    9355500*ln2^2*z3^2 - 104910750*z2*z3^2 - 165406500*ln2*z2*z5 + 
    369802125*z3*z5)/28224000, H[0, 0, 1, 1, -1, -1, -1, -1, 1] -> 
  (-2688000*li4half^2 + 32256000*li8half + 5376000*li7half*ln2 + 
    2688000*li6half*ln2^2 + 896000*li5half*ln2^3 - 448000*li4half*ln2^4 - 
    18000*ln2^8 + 9408000*ln2^2*s6 - 672000*ln2*s7a + 672000*ln2*s7b - 
    5773950*s8a - 13104000*s8b - 6720000*s8c - 1344000*s8d + 
    10752000*li6half*z2 + 1344000*li4half*ln2^2*z2 + 145600*ln2^6*z2 + 
    9408000*s6*z2 + 1881600*li4half*z2^2 - 767200*ln2^4*z2^2 - 
    6693600*ln2^2*z2^3 - 5084112*z2^4 + 336000*li5half*z3 - 
    4704000*li4half*ln2*z3 - 198800*ln2^5*z3 + 1204000*ln2^3*z2*z3 + 
    4074000*ln2*z2^2*z3 - 514500*ln2^2*z3^2 + 4137000*z2*z3^2 - 
    2387000*ln2^3*z5 + 18144000*ln2*z2*z5 - 13466250*z3*z5 + 9667875*ln2*z7)/
   2688000, H[0, 0, 1, 0, 1, 1, 1, 1, 1] -> 
  (-3675*s8a - 4028*z2^4 - 5250*z2*z3^2 + 36750*z3*z5)/5250, 
 H[0, 0, 1, 0, 1, 1, 1, 0, 1] -> (-2100*s8a + 11939*z2^4 + 21000*z2*z3^2 - 
    108500*z3*z5)/7000, H[0, 0, 1, 0, 1, 1, 1, -1, 1] -> 
  (-25804800*ln2^2*s6 + 16934400*ln2*s7a - 2822400*ln2*s7b + 29131200*s8a + 
    211377600*s8b + 17740800*s8c + 27417600*s8d + 11289600*li6half*z2 + 
    15680*ln2^6*z2 - 83764800*s6*z2 + 8164800*li4half*z2^2 + 
    105000*ln2^4*z2^2 + 3296160*ln2^2*z2^3 + 1827696*z2^4 - 
    83059200*li5half*z3 - 9878400*li4half*ln2*z3 + 280560*ln2^5*z3 - 
    218400*ln2^3*z2*z3 - 35007840*ln2*z2^2*z3 + 18673200*ln2^2*z3^2 - 
    5808600*z2*z3^2 + 19139400*ln2^3*z5 + 2255400*ln2*z2*z5 + 
    26642700*z3*z5 - 104792625*ln2*z7)/5644800, 
 H[0, 0, 1, 0, 1, 1, 0, 1, 1] -> (56700*s8a - 35863*z2^4 - 63000*z2*z3^2 + 
    283500*z3*z5)/21000, H[0, 0, 1, 0, 1, 1, 0, 0, 1] -> 
  (4025*s8a - 5526*z2^4 + 5250*z2*z3^2 + 19250*z3*z5)/1750, 
 H[0, 0, 1, 0, 1, 1, 0, -1, 1] -> (256200*s8a - 10752000*s8b - 2531398*z2^4 - 
    1060500*z2*z3^2 + 13311375*z3*z5 + 21336000*ln2*z7)/672000, 
 H[0, 0, 1, 0, 1, 1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    10080000*ln2^2*s6 + 23540475*s8a - 112392000*s8b + 12768000*s8c - 
    40992000*s8d + 112896000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 901600*ln2^6*z2 + 119616000*s6*z2 - 
    13843200*li4half*z2^2 + 3539200*ln2^4*z2^2 - 3494400*ln2^2*z2^3 - 
    22650304*z2^4 + 39648000*li5half*z3 - 330400*ln2^5*z3 - 
    17864000*ln2^3*z2*z3 + 30710400*ln2*z2^2*z3 - 25977000*ln2^2*z3^2 - 
    52500000*z2*z3^2 - 54400500*ln2*z2*z5 + 83889750*z3*z5)/9408000, 
 H[0, 0, 1, 0, 1, 1, -1, 0, 1] -> (1344000*ln2^2*s6 - 1592325*s8a + 
    1680000*s8b - 2688000*s8c + 2688000*s8d - 4200000*s6*z2 - 
    2385600*li4half*z2^2 - 99400*ln2^4*z2^2 + 1041600*ln2^2*z2^3 - 
    180732*z2^4 - 4032000*li5half*z3 + 33600*ln2^5*z3 - 336000*ln2^3*z2*z3 - 
    4044600*ln2*z2^2*z3 + 378000*ln2^2*z3^2 + 3270750*z2*z3^2 + 
    8064000*ln2*z2*z5 + 2281125*z3*z5)/672000, 
 H[0, 0, 1, 0, 1, 1, -1, -1, 1] -> 
  (16934400*li4half^2 + 1411200*li4half*ln2^4 + 29400*ln2^8 - 
    7459200*ln2^2*s6 + 5644800*ln2*s7a + 19756800*ln2*s7b - 12929175*s8a - 
    104025600*s8b - 16128000*s8c + 4838400*s8d + 22579200*li6half*z2 - 
    8467200*li4half*ln2^2*z2 - 321440*ln2^6*z2 + 9374400*s6*z2 - 
    19776960*li4half*z2^2 - 236040*ln2^4*z2^2 + 2026080*ln2^2*z2^3 - 
    14748276*z2^4 + 27014400*li5half*z3 + 59270400*li4half*ln2*z3 + 
    2244480*ln2^5*z3 - 4099200*ln2^3*z2*z3 - 15868440*ln2*z2^2*z3 + 
    23832900*ln2^2*z3^2 + 4091850*z2*z3^2 - 13671000*ln2^3*z5 - 
    10092600*ln2*z2*z5 + 33147450*z3*z5 + 232825950*ln2*z7)/5644800, 
 H[0, 0, 1, 0, 1, 0, 1, 1, 1] -> (-3600*s8a + 3209*z2^4 + 9000*z2*z3^2 - 
    33000*z3*z5)/1000, H[0, 0, 1, 0, 1, 0, 1, 0, 1] -> 
  (-24*z2^4 - 150*z2*z3^2 + 425*z3*z5)/25, H[0, 0, 1, 0, 1, 0, 1, -1, 1] -> 
  (-6720000*ln2*s7a - 6720000*ln2*s7b + 5278350*s8a - 26208000*s8b + 
    13440000*s8c - 13440000*s8d + 36288000*s6*z2 - 11625600*li4half*z2^2 - 
    484400*ln2^4*z2^2 + 1394400*ln2^2*z2^3 + 5371626*z2^4 + 
    92736000*li5half*z3 + 32928000*li4half*ln2*z3 + 599200*ln2^5*z3 - 
    504000*ln2^3*z2*z3 + 25166400*ln2*z2^2*z3 - 10290000*ln2^2*z3^2 - 
    25515000*z2*z3^2 - 73500000*ln2*z2*z5 - 34329750*z3*z5 + 9457875*ln2*z7)/
   4704000, H[0, 0, 1, 0, 1, 0, 0, 1, 1] -> 
  (1400*s8a - 976*z2^4 - 2100*z2*z3^2 + 8575*z3*z5)/350, 
 H[0, 0, 1, 0, 1, 0, 0, 0, 1] -> (2*(-350*s8a + 381*z2^4 - 2100*z3*z5))/175, 
 H[0, 0, 1, 0, 1, 0, 0, -1, 1] -> (81550*s8a + 1680000*s8b + 314138*z2^4 + 
    164500*z2*z3^2 - 1698375*z3*z5 - 3333750*ln2*z7)/112000, 
 H[0, 0, 1, 0, 1, 0, -1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    2520000*ln2^2*s6 - 2186100*s8a - 1638000*s8b - 5040000*s8c + 
    5040000*s8d + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 
    4032000*s6*z2 + 3830400*li4half*z2^2 - 722400*ln2^4*z2^2 - 
    831600*ln2^2*z2^3 - 1851426*z2^4 - 10080000*li5half*z3 + 84000*ln2^5*z3 - 
    840000*ln2^3*z2*z3 - 19782000*ln2*z2^2*z3 + 15372000*ln2^2*z3^2 + 
    913500*z2*z3^2 + 13797000*ln2*z2*z5 + 23774625*z3*z5)/3528000, 
 H[0, 0, 1, 0, 1, 0, -1, 0, 1] -> (-157675*s8a + 504000*li4half*z2^2 + 
    21000*ln2^4*z2^2 - 126000*ln2^2*z2^3 - 12333*z2^4 + 441000*ln2*z2^2*z3 - 
    19250*z2*z3^2 - 921375*z3*z5)/56000, H[0, 0, 1, 0, 1, 0, -1, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    3628800*ln2^2*s6 - 7257600*ln2*s7a - 7257600*ln2*s7b + 1208025*s8a + 
    33264000*s8b + 7257600*s8c - 7257600*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 + 14515200*s6*z2 + 12378240*li4half*z2^2 - 
    189840*ln2^4*z2^2 - 4546080*ln2^2*z2^3 + 8739072*z2^4 - 
    5241600*li5half*z3 - 39513600*li4half*ln2*z3 - 1602720*ln2^5*z3 + 
    9441600*ln2^3*z2*z3 + 15684480*ln2*z2^2*z3 - 21823200*ln2^2*z3^2 + 
    1524600*z2*z3^2 - 453600*ln2*z2*z5 - 45994725*z3*z5 - 116641350*ln2*z7)/
   2822400, H[0, 0, 1, 0, 1, -1, 1, 1, 1] -> 
  (1128960*li4half^2 + 94080*li4half*ln2^4 + 1960*ln2^8 + 201600*ln2^2*s6 - 
    1178310*s8a - 3706080*s8b - 403200*s8c - 349440*s8d - 
    2257920*li6half*z2 - 3136*ln2^6*z2 - 6720*s6*z2 - 502656*li4half*z2^2 - 
    44464*ln2^4*z2^2 + 300552*ln2^2*z2^3 + 748960*z2^4 - 2688000*li5half*z3 + 
    22400*ln2^5*z3 + 199360*ln2^3*z2*z3 - 353640*ln2*z2^2*z3 + 
    56700*ln2^2*z3^2 + 2295720*z2*z3^2 - 212660*ln2^3*z5 + 
    1847580*ln2*z2*z5 - 2852745*z3*z5)/188160, 
 H[0, 0, 1, 0, 1, -1, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 864675*s8a + 
    10584000*s8b + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 
    6148800*li4half*z2^2 - 247800*ln2^4*z2^2 - 2671200*ln2^2*z2^3 - 
    730557*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 + 
    2016000*ln2^3*z2*z3 + 4044600*ln2*z2^2*z3 - 3024000*z2*z3^2 - 
    3417750*ln2*z2*z5 - 17852625*z3*z5)/1008000, 
 H[0, 0, 1, 0, 1, -1, 1, -1, 1] -> (-14112000*ln2^2*s6 + 54432000*ln2*s7a + 
    153216000*ln2*s7b - 89132400*s8a - 364896000*s8b - 80640000*s8c - 
    32256000*s8d - 225792000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 4547200*ln2^6*z2 - 6048000*s6*z2 + 
    7660800*li4half*z2^2 + 19135200*ln2^4*z2^2 - 29181600*ln2^2*z2^3 + 
    15868056*z2^4 + 120960000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    3108000*ln2^5*z3 - 99288000*ln2^3*z2*z3 - 35456400*ln2*z2^2*z3 + 
    79380000*ln2^2*z3^2 + 103698000*z2*z3^2 - 63798000*ln2^3*z5 - 
    6615000*ln2*z2*z5 - 138883500*z3*z5 + 1170390375*ln2*z7)/28224000, 
 H[0, 0, 1, 0, 1, -1, 0, 1, 1] -> (2746275*s8a + 1848000*s8b + 672000*s6*z2 + 
    201600*li4half*z2^2 + 8400*ln2^4*z2^2 - 50400*ln2^2*z2^3 - 1801006*z2^4 + 
    756000*ln2*z2^2*z3 - 6615000*z2*z3^2 - 4557000*ln2*z2*z5 + 
    21357000*z3*z5)/672000, H[0, 0, 1, 0, 1, -1, 0, 0, 1] -> 
  (-320075*s8a - 1176000*s8b - 67200*li4half*z2^2 - 2800*ln2^4*z2^2 + 
    16800*ln2^2*z2^3 + 165378*z2^4 + 756000*ln2*z2^2*z3 + 252000*z2*z3^2 - 
    1554000*z3*z5)/112000, H[0, 0, 1, 0, 1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 48384000*ln2*s7a - 48384000*ln2*s7b + 19881225*s8a + 
    9576000*s8b + 40320000*s8c - 40320000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 98280000*s6*z2 + 10987200*li4half*z2^2 - 
    3070200*ln2^4*z2^2 - 12222000*ln2^2*z2^3 + 26403261*z2^4 + 
    278208000*li5half*z3 - 2318400*ln2^5*z3 + 23184000*ln2^3*z2*z3 + 
    104781600*ln2*z2^2*z3 - 66150000*ln2^2*z3^2 - 38288250*z2*z3^2 - 
    2756250*ln2*z2*z5 - 272167875*z3*z5 - 455568750*ln2*z7)/7056000, 
 H[0, 0, 1, 0, 1, -1, -1, 1, 1] -> (-240000*ln2^2*s6 + 457650*s8a + 
    1584000*s8b + 240000*s8c + 144000*s8d + 576000*li5half*ln2*z2 + 
    288000*li4half*ln2^2*z2 + 7200*ln2^6*z2 - 120000*s6*z2 - 
    67200*li4half*z2^2 - 26800*ln2^4*z2^2 + 204600*ln2^2*z2^3 - 57046*z2^4 - 
    912000*li5half*z3 + 7600*ln2^5*z3 - 76000*ln2^3*z2*z3 - 
    693600*ln2*z2^2*z3 + 300000*ln2^2*z3^2 - 801000*z2*z3^2 + 
    108500*ln2^3*z5 - 1881000*ln2*z2*z5 + 2858625*z3*z5)/96000, 
 H[0, 0, 1, 0, 1, -1, -1, 0, 1] -> (448000*ln2^2*s6 - 1060850*s8a - 
    560000*s8b - 896000*s8c + 896000*s8d - 2072000*s6*z2 + 
    1545600*li4half*z2^2 + 64400*ln2^4*z2^2 - 238000*ln2^2*z2^3 - 
    408186*z2^4 - 1344000*li5half*z3 + 11200*ln2^5*z3 - 112000*ln2^3*z2*z3 + 
    1675800*ln2*z2^2*z3 + 126000*ln2^2*z3^2 + 1436750*z2*z3^2 + 
    3447500*ln2*z2*z5 - 3506125*z3*z5)/224000, 
 H[0, 0, 1, 0, 1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    38808000*ln2^2*s6 - 55440000*ln2*s7a - 90720000*ln2*s7b + 27841275*s8a + 
    126000000*s8b + 68544000*s8c - 54432000*s8d + 28224000*li6half*z2 + 
    42336000*li4half*ln2^2*z2 + 1803200*ln2^6*z2 + 126504000*s6*z2 + 
    47325600*li4half*z2^2 - 3908100*ln2^4*z2^2 - 31008600*ln2^2*z2^3 + 
    43037634*z2^4 + 221760000*li5half*z3 - 123480000*li4half*ln2*z3 - 
    6993000*ln2^5*z3 + 59934000*ln2^3*z2*z3 + 142222500*ln2*z2^2*z3 - 
    128000250*ln2^2*z3^2 - 34815375*z2*z3^2 + 18228000*ln2^3*z5 + 
    61960500*ln2*z2*z5 - 364557375*z3*z5 - 841388625*ln2*z7)/14112000, 
 H[0, 0, 1, 0, 0, 1, 1, 1, 1] -> (6300*s8a - 2783*z2^4 - 6300*z2*z3^2 + 
    23100*z3*z5)/4200, H[0, 0, 1, 0, 0, 1, 1, 0, 1] -> 
  (-2975*s8a + 414*z2^4)/1750, H[0, 0, 1, 0, 0, 1, 1, -1, 1] -> 
  (38640000*ln2^2*s6 - 16800000*ln2*s7a + 11424000*ln2*s7b - 67254075*s8a - 
    327600000*s8b - 43680000*s8c - 40992000*s8d + 127848000*s6*z2 - 
    3729600*li4half*z2^2 - 155400*ln2^4*z2^2 - 16867200*ln2^2*z2^3 + 
    4076228*z2^4 + 65520000*li5half*z3 - 16464000*li4half*ln2*z3 - 
    1232000*ln2^5*z3 + 9576000*ln2^3*z2*z3 + 51210600*ln2*z2^2*z3 - 
    14857500*ln2^2*z3^2 + 47901000*z2*z3^2 - 27342000*ln2^3*z5 + 
    64848000*ln2*z2*z5 - 118970250*z3*z5 + 99928500*ln2*z7)/4704000, 
 H[0, 0, 1, 0, 0, 1, 0, 1, 1] -> (-2275*s8a + 2686*z2^4 + 7875*z2*z3^2 - 
    28875*z3*z5)/1750, H[0, 0, 1, 0, 0, 1, 0, 0, 1] -> 
  (-6*(3*z2^4 - 25*z3*z5))/25, H[0, 0, 1, 0, 0, 1, 0, -1, 1] -> 
  (4725*s8a + 100800*s8b + 18406*z2^4 + 1400*z2*z3^2 - 82950*z3*z5 - 
    200025*ln2*z7)/22400, H[0, 0, 1, 0, 0, 1, -1, 1, 1] -> 
  (-7190400*ln2^2*s6 + 11603025*s8a + 57993600*s8b + 8736000*s8c + 
    8198400*s8d - 22982400*s6*z2 + 1639680*li4half*z2^2 + 68320*ln2^4*z2^2 + 
    4341120*ln2^2*z2^3 - 542912*z2^4 - 16396800*li5half*z3 + 
    136640*ln2^5*z3 - 1366400*ln2^3*z2*z3 - 9211440*ln2*z2^2*z3 - 
    890400*ln2^2*z3^2 - 7581000*z2*z3^2 - 23958900*ln2*z2*z5 + 
    20097000*z3*z5)/940800, H[0, 0, 1, 0, 0, 1, -1, 0, 1] -> 
  (11475*s8a + 168000*s8b - 48000*s6*z2 - 414*z2^4 - 63000*ln2*z2^2*z3 + 
    5750*z2*z3^2 + 23625*z3*z5)/16000, H[0, 0, 1, 0, 0, 1, -1, -1, 1] -> 
  (288000*ln2^2*s6 + 1728000*ln2*s7a - 2304000*ln2*s7b + 311850*s8a + 
    4704000*s8b - 1176000*s6*z2 + 638400*li4half*z2^2 + 26600*ln2^4*z2^2 - 
    1128000*ln2^2*z2^3 + 170026*z2^4 - 4704000*li5half*z3 - 
    2352000*li4half*ln2*z3 - 58800*ln2^5*z3 + 196000*ln2^3*z2*z3 - 
    778200*ln2*z2^2*z3 + 1918500*ln2^2*z3^2 + 99750*z2*z3^2 + 
    3906000*ln2^3*z5 + 6894000*ln2*z2*z5 + 2664375*z3*z5 - 12963000*ln2*z7)/
   672000, H[0, 0, 1, 0, 0, 0, 1, 1, 1] -> 
  (-225*s8a - 62*z2^4 - 300*z2*z3^2 + 1125*z3*z5)/150, 
 H[0, 0, 1, 0, 0, 0, 1, 0, 1] -> (-2*(-350*s8a + 3*z2^4 + 350*z3*z5))/175, 
 H[0, 0, 1, 0, 0, 0, 1, -1, 1] -> (88575*s8a - 120000*s8b - 96000*s6*z2 - 
    45698*z2^4 + 36000*ln2*z2^2*z3 + 40500*z2*z3^2 + 720000*ln2*z2*z5 + 
    17625*z3*z5 - 762000*ln2*z7)/48000, H[0, 0, 1, 0, 0, 0, 0, 1, 1] -> 
  -s8a + z3*z5, H[0, 0, 1, 0, 0, 0, 0, 0, 1] -> (-72*z2^4)/25, 
 H[0, 0, 1, 0, 0, 0, 0, -1, 1] -> 
  (-3*(29925*s8a + 280000*s8b + 48898*z2^4 - 227500*z3*z5 - 555625*ln2*z7))/
   56000, H[0, 0, 1, 0, 0, 0, -1, 1, 1] -> 
  (1425*s8a + 126000*s8b - 48000*s6*z2 + 4468*z2^4 - 9000*ln2*z2^2*z3 - 
    40500*ln2*z2*z5 - 10875*z3*z5)/12000, H[0, 0, 1, 0, 0, 0, -1, 0, 1] -> 
  (3*(6300*s8a + 3733*z2^4 - 35000*z3*z5))/28000, 
 H[0, 0, 1, 0, 0, 0, -1, -1, 1] -> (-155925*s8a - 2352000*s8b - 402718*z2^4 + 
    42000*z2*z3^2 + 1680000*z3*z5 + 4667250*ln2*z7)/336000, 
 H[0, 0, 1, 0, 0, -1, 1, 1, 1] -> (5712000*ln2^2*s6 - 20249775*s8a - 
    99792000*s8b - 11424000*s8c - 16800000*s8d + 59472000*s6*z2 - 
    4300800*li4half*z2^2 - 179200*ln2^4*z2^2 - 8240400*ln2^2*z2^3 + 
    1109216*z2^4 + 33600000*li5half*z3 - 280000*ln2^5*z3 + 
    2800000*ln2^3*z2*z3 + 13461000*ln2*z2^2*z3 + 1606500*ln2^2*z3^2 - 
    8190000*z2*z3^2 + 9114000*ln2^3*z5 + 6930000*ln2*z2*z5 + 15437625*z3*z5)/
   4704000, H[0, 0, 1, 0, 0, -1, 1, 0, 1] -> 
  (127925*s8a - 1176000*s8b - 104742*z2^4 + 441000*ln2*z2^2*z3 + 
    651000*ln2*z2*z5 + 30625*z3*z5)/112000, H[0, 0, 1, 0, 0, -1, 1, -1, 1] -> 
  (-19824000*ln2^2*s6 + 3696000*ln2*s7a - 10416000*ln2*s7b + 43722525*s8a + 
    212520000*s8b + 32256000*s8c + 24192000*s8d - 75432000*s6*z2 + 
    4838400*li4half*z2^2 + 201600*ln2^4*z2^2 + 11407200*ln2^2*z2^3 - 
    1427341*z2^4 - 48384000*li5half*z3 + 403200*ln2^5*z3 - 
    4032000*ln2^3*z2*z3 - 28469700*ln2*z2^2*z3 + 84000*ln2^2*z3^2 - 
    34482000*z2*z3^2 + 9114000*ln2^3*z5 - 53271750*ln2*z2*z5 + 
    81837000*z3*z5 - 80448375*ln2*z7)/2352000, 
 H[0, 0, 1, 0, 0, -1, 0, 1, 1] -> (-4900*s8a - 48000*s6*z2 + 3451*z2^4 + 
    60750*z2*z3^2 + 93000*ln2*z2*z5 - 157625*z3*z5)/8000, 
 H[0, 0, 1, 0, 0, -1, 0, 0, 1] -> (-9*(191*z2^4 - 1275*z3*z5))/800, 
 H[0, 0, 1, 0, 0, -1, 0, -1, 1] -> (29925*s8a - 1176000*s8b - 336000*s6*z2 - 
    301412*z2^4 + 82250*z2*z3^2 + 651000*ln2*z2*z5 + 1041250*z3*z5 + 
    2333625*ln2*z7)/112000, H[0, 0, 1, 0, 0, -1, -1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    41832000*ln2^2*s6 - 59735025*s8a - 309960000*s8b - 41328000*s8c - 
    43344000*s8d - 7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 
    90216000*s6*z2 - 11491200*li4half*z2^2 + 403200*ln2^4*z2^2 - 
    18963000*ln2^2*z2^3 + 4668666*z2^4 + 86688000*li5half*z3 - 
    722400*ln2^5*z3 + 7224000*ln2^3*z2*z3 + 60845400*ln2*z2^2*z3 - 
    12930750*ln2^2*z3^2 + 77080500*z2*z3^2 - 13671000*ln2^3*z5 + 
    178888500*ln2*z2*z5 - 213270750*z3*z5)/7056000, 
 H[0, 0, 1, 0, 0, -1, -1, 0, 1] -> 
  (26775*s8a + 336000*s6*z2 - 504000*li4half*z2^2 - 21000*ln2^4*z2^2 + 
    126000*ln2^2*z2^3 + 93834*z2^4 - 441000*ln2*z2^2*z3 - 297500*z2*z3^2 - 
    651000*ln2*z2*z5 + 1329125*z3*z5)/112000, 
 H[0, 0, 1, 0, 0, -1, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    2016000*ln2^2*s6 - 4032000*ln2*s7a + 38304000*ln2*s7b - 37403100*s8a - 
    223776000*s8b - 38304000*s8c - 4032000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 + 29232000*s6*z2 - 18093600*li4half*z2^2 + 
    128100*ln2^4*z2^2 + 3717000*ln2^2*z2^3 - 15521946*z2^4 + 
    32760000*li5half*z3 + 49392000*li4half*ln2*z3 + 1785000*ln2^5*z3 - 
    9618000*ln2^3*z2*z3 - 2286900*ln2*z2^2*z3 + 19089000*ln2^2*z3^2 + 
    27901125*z2*z3^2 - 27342000*ln2^3*z5 + 1071000*ln2*z2*z5 + 
    17010000*z3*z5 + 332577000*ln2*z7)/7056000, 
 H[0, 0, 1, 0, -1, 1, 1, 1, 1] -> (6552000*ln2^2*s6 + 2137275*s8a + 
    123984000*s8b - 13104000*s8c + 30744000*s8d + 28224000*li6half*z2 + 
    39200*ln2^6*z2 - 75600000*s6*z2 + 19555200*li4half*z2^2 + 
    226800*ln2^4*z2^2 - 8668800*ln2^2*z2^3 - 17048946*z2^4 + 
    9072000*li5half*z3 - 75600*ln2^5*z3 + 1638000*ln2^3*z2*z3 + 
    13967100*ln2*z2^2*z3 + 1842750*ln2^2*z3^2 - 3953250*z2*z3^2 + 
    39312000*ln2*z2*z5 - 6386625*z3*z5)/7056000, 
 H[0, 0, 1, 0, -1, 1, 1, 0, 1] -> (-1344000*ln2^2*s6 + 1406475*s8a - 
    8736000*s8b + 2688000*s8c - 2688000*s8d + 5376000*s6*z2 - 
    6720000*li4half*z2^2 - 280000*ln2^4*z2^2 + 1990800*ln2^2*z2^3 + 
    2033916*z2^4 - 2688000*li5half*z3 + 22400*ln2^5*z3 - 224000*ln2^3*z2*z3 - 
    3032400*ln2*z2^2*z3 - 378000*ln2^2*z3^2 - 1743000*z2*z3^2 - 
    8064000*ln2*z2*z5 + 9772875*z3*z5)/672000, 
 H[0, 0, 1, 0, -1, 1, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    32256000*ln2^2*s6 + 56448000*ln2*s7a + 155232000*ln2*s7b - 
    230222475*s8a - 1252944000*s8b - 177408000*s8c - 118944000*s8d + 
    169344000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 940800*ln2^6*z2 + 
    407232000*s6*z2 - 128217600*li4half*z2^2 - 8870400*ln2^4*z2^2 + 
    48711600*ln2^2*z2^3 + 17933844*z2^4 + 244944000*li5half*z3 + 
    296352000*li4half*ln2*z3 + 10306800*ln2^5*z3 - 53676000*ln2^3*z2*z3 + 
    16770600*ln2*z2^2*z3 + 95508000*ln2^2*z3^2 + 179250750*z2*z3^2 - 
    95697000*ln2^3*z5 - 98185500*ln2*z2*z5 - 336490875*z3*z5 + 
    913421250*ln2*z7)/28224000, H[0, 0, 1, 0, -1, 1, 0, 1, 1] -> 
  (-230475*s8a - 462000*s8b + 420000*s6*z2 + 201600*li4half*z2^2 + 
    8400*ln2^4*z2^2 - 50400*ln2^2*z2^3 + 185459*z2^4 + 31500*ln2*z2^2*z3 + 
    561750*z2*z3^2 - 2346750*z3*z5)/168000, H[0, 0, 1, 0, -1, 1, 0, 0, 1] -> 
  (155925*s8a + 1176000*s8b + 1075200*li4half*z2^2 + 44800*ln2^4*z2^2 - 
    268800*ln2^2*z2^3 - 404442*z2^4 + 126000*ln2*z2^2*z3 + 21000*z2*z3^2 + 
    275625*z3*z5)/112000, H[0, 0, 1, 0, -1, 1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 64512000*ln2*s7a - 64512000*ln2*s7b + 31340925*s8a + 
    4536000*s8b + 72576000*s8c - 72576000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 139860000*s6*z2 + 62395200*li4half*z2^2 - 
    928200*ln2^4*z2^2 - 28702800*ln2^2*z2^3 + 15923373*z2^4 - 
    52416000*li5half*z3 - 197568000*li4half*ln2*z3 - 7795200*ln2^5*z3 + 
    45024000*ln2^3*z2*z3 + 34927200*ln2*z2^2*z3 - 90846000*ln2^2*z3^2 - 
    43958250*z2*z3^2 - 28224000*ln2*z2*z5 + 41469750*z3*z5 - 
    360060750*ln2*z7)/7056000, H[0, 0, 1, 0, -1, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    6552000*ln2^2*s6 - 26855325*s8a - 65772000*s8b - 36288000*s8c + 
    43344000*s8d - 225792000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 1842400*ln2^6*z2 - 192528000*s6*z2 + 
    46771200*li4half*z2^2 + 11944800*ln2^4*z2^2 + 7383600*ln2^2*z2^3 + 
    3680178*z2^4 - 16128000*li5half*z3 + 134400*ln2^5*z3 - 
    8400000*ln2^3*z2*z3 + 56460600*ln2*z2^2*z3 - 1071000*ln2^2*z3^2 + 
    101745000*z2*z3^2 + 327820500*ln2*z2*z5 - 106013250*z3*z5)/14112000, 
 H[0, 0, 1, 0, -1, 1, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 1545075*s8a + 
    10584000*s8b - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    1764000*s6*z2 - 7560000*li4half*z2^2 + 189000*ln2^4*z2^2 + 
    756000*ln2^2*z2^3 + 964287*z2^4 - 4032000*li5half*z3 + 33600*ln2^5*z3 - 
    336000*ln2^3*z2*z3 - 7950600*ln2*z2^2*z3 - 189000*z2*z3^2 + 
    10418625*z3*z5)/1008000, H[0, 0, 1, 0, -1, 1, -1, -1, 1] -> 
  (2016000*ln2^2*s6 - 23520000*ln2*s7b + 33342225*s8a + 181440000*s8b + 
    28896000*s8c + 13440000*s8d - 56448000*li6half*z2 + 
    28224000*li4half*ln2^2*z2 + 1097600*ln2^6*z2 - 92736000*s6*z2 + 
    20798400*li4half*z2^2 - 5013400*ln2^4*z2^2 - 4216800*ln2^2*z2^3 - 
    1676704*z2^4 - 142128000*li5half*z3 - 82320000*li4half*ln2*z3 - 
    2245600*ln2^5*z3 + 12264000*ln2^3*z2*z3 - 43667400*ln2*z2^2*z3 + 
    52500*ln2^2*z3^2 - 18585000*z2*z3^2 + 22785000*ln2^3*z5 - 
    16863000*ln2*z2*z5 + 183406125*z3*z5 - 28371000*ln2*z7)/9408000, 
 H[0, 0, 1, 0, -1, 0, 1, 1, 1] -> (-28525*s8a + 13864*z2^4 + 33600*z2*z3^2 - 
    121625*z3*z5)/44800, H[0, 0, 1, 0, -1, 0, 1, 0, 1] -> 
  (2975*s8a - 783*z2^4 - 600*z2*z3^2 + 3175*z3*z5)/1600, 
 H[0, 0, 1, 0, -1, 0, 1, -1, 1] -> (6048000*ln2*s7a + 6048000*ln2*s7b - 
    2424975*s8a - 3696000*s8b - 12096000*s8c + 12096000*s8d - 
    24192000*s6*z2 - 2049600*li4half*z2^2 - 85400*ln2^4*z2^2 + 
    1873200*ln2^2*z2^3 - 6151911*z2^4 + 8736000*li5half*z3 + 
    16464000*li4half*ln2*z3 + 613200*ln2^5*z3 - 3388000*ln2^3*z2*z3 + 
    1705200*ln2*z2^2*z3 + 9261000*ln2^2*z3^2 + 6426000*z2*z3^2 + 
    27893250*ln2*z2*z5 + 879375*z3*z5 + 27192375*ln2*z7)/2352000, 
 H[0, 0, 1, 0, -1, 0, 0, 1, 1] -> (-3325*s8a - 15812*z2^4 - 58800*z2*z3^2 + 
    208075*z3*z5)/22400, H[0, 0, 1, 0, -1, 0, 0, 0, 1] -> 
  (-3*(6300*s8a - 9497*z2^4 + 66500*z3*z5))/28000, 
 H[0, 0, 1, 0, -1, 0, 0, -1, 1] -> (-18900*s8a + 7831*z2^4 + 10500*z2*z3^2 - 
    49875*z3*z5)/28000, H[0, 0, 1, 0, -1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    18144000*ln2^2*s6 + 20659275*s8a + 67536000*s8b + 36288000*s8c - 
    36288000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    72576000*s6*z2 + 4032000*li4half*z2^2 - 3360000*ln2^4*z2^2 - 
    1915200*ln2^2*z2^3 + 16922124*z2^4 + 72576000*li5half*z3 - 
    604800*ln2^5*z3 + 6048000*ln2^3*z2*z3 - 41731200*ln2*z2^2*z3 + 
    10332000*ln2^2*z3^2 - 55440000*z2*z3^2 - 165091500*ln2*z2*z5 + 
    39091500*z3*z5)/14112000, H[0, 0, 1, 0, -1, 0, -1, 0, 1] -> 
  (-53550*s8a + 504000*li4half*z2^2 + 21000*ln2^4*z2^2 - 126000*ln2^2*z2^3 - 
    62418*z2^4 + 441000*ln2*z2^2*z3 + 33250*z2*z3^2 - 812875*z3*z5)/56000, 
 H[0, 0, 1, 0, -1, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    23184000*ln2^2*s6 - 46368000*ln2*s7a - 46368000*ln2*s7b + 24866100*s8a + 
    23184000*s8b + 46368000*s8c - 46368000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 92736000*s6*z2 + 25300800*li4half*z2^2 - 
    709800*ln2^4*z2^2 - 15598800*ln2^2*z2^3 + 20351241*z2^4 + 
    43344000*li5half*z3 - 98784000*li4half*ln2*z3 - 4477200*ln2^5*z3 + 
    28308000*ln2^3*z2*z3 + 53146800*ln2*z2^2*z3 - 72198000*ln2^2*z3^2 - 
    24963750*z2*z3^2 - 2898000*ln2*z2*z5 - 85412250*z3*z5 - 369495000*ln2*z7)/
   7056000, H[0, 0, 1, 0, -1, -1, 1, 1, 1] -> 
  (33264000*ln2^2*s6 - 20281275*s8a + 390096000*s8b - 66528000*s8c + 
    137088000*s8d + 225792000*li6half*z2 + 313600*ln2^6*z2 - 
    203616000*s6*z2 + 27417600*li4half*z2^2 - 3561600*ln2^4*z2^2 - 
    47199600*ln2^2*z2^3 - 65885784*z2^4 + 64512000*li5half*z3 - 
    537600*ln2^5*z3 + 12432000*ln2^3*z2*z3 + 61248600*ln2*z2^2*z3 + 
    9355500*ln2^2*z3^2 - 32571000*z2*z3^2 + 22785000*ln2^3*z5 + 
    131229000*ln2*z2*z5 - 33760125*z3*z5)/28224000, 
 H[0, 0, 1, 0, -1, -1, 1, 0, 1] -> (-672000*ln2^2*s6 + 1175475*s8a - 
    2688000*s8b + 1344000*s8c - 1344000*s8d + 2688000*s6*z2 - 
    1075200*li4half*z2^2 - 44800*ln2^4*z2^2 + 424200*ln2^2*z2^3 + 
    463971*z2^4 - 1344000*li5half*z3 + 11200*ln2^5*z3 - 112000*ln2^3*z2*z3 - 
    980700*ln2*z2^2*z3 - 189000*ln2^2*z3^2 - 997500*z2*z3^2 - 
    3218250*ln2*z2*z5 + 3262875*z3*z5)/336000, 
 H[0, 0, 1, 0, -1, -1, 1, -1, 1] -> (-39984000*ln2^2*s6 + 28896000*ln2*s7a - 
    4032000*ln2*s7b + 48655425*s8a + 182784000*s8b + 22176000*s8c + 
    29568000*s8d + 56448000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    392000*ln2^6*z2 - 52080000*s6*z2 - 7492800*li4half*z2^2 + 
    3215800*ln2^4*z2^2 + 25074000*ln2^2*z2^3 - 12288652*z2^4 - 
    37968000*li5half*z3 + 49392000*li4half*ln2*z3 + 2374400*ln2^5*z3 - 
    19040000*ln2^3*z2*z3 - 40689600*ln2*z2^2*z3 + 33001500*ln2^2*z3^2 - 
    44194500*z2*z3^2 + 24304000*ln2^3*z5 - 76293000*ln2*z2*z5 + 
    102540375*z3*z5 - 73620750*ln2*z7)/9408000, 
 H[0, 0, 1, 0, -1, -1, 0, 1, 1] -> (-8400*s8a - 336000*s6*z2 - 31342*z2^4 + 
    241500*z2*z3^2 + 651000*ln2*z2*z5 - 448875*z3*z5)/134400, 
 H[0, 0, 1, 0, -1, -1, 0, 0, 1] -> (-48825*s8a - 56082*z2^4 + 28000*z2*z3^2 + 
    323750*z3*z5)/112000, H[0, 0, 1, 0, -1, -1, 0, -1, 1] -> 
  (-788025*s8a - 4368000*s8b - 840000*s6*z2 - 688924*z2^4 + 666750*z2*z3^2 + 
    1627500*ln2*z2*z5 + 1617000*z3*z5 + 8667750*ln2*z7)/672000, 
 H[0, 0, 1, 0, -1, -1, -1, 1, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 + 
    4838400*ln2^2*s6 - 4106025*s8a - 18950400*s8b - 2620800*s8c - 
    4435200*s8d + 11289600*li6half*z2 + 1411200*li4half*ln2^2*z2 + 
    74480*ln2^6*z2 + 11692800*s6*z2 - 322560*li4half*z2^2 - 
    425040*ln2^4*z2^2 - 3822840*ln2^2*z2^3 - 876198*z2^4 + 
    14515200*li5half*z3 - 120960*ln2^5*z3 + 1562400*ln2^3*z2*z3 + 
    3825360*ln2*z2^2*z3 - 954450*ln2^2*z3^2 + 2979900*z2*z3^2 - 
    2278500*ln2^3*z5 + 13286700*ln2*z2*z5 - 19909575*z3*z5)/2822400, 
 H[0, 0, 1, 0, -1, -1, -1, 0, 1] -> 
  (-129150*s8a + 280000*s6*z2 + 504000*li4half*z2^2 + 21000*ln2^4*z2^2 - 
    126000*ln2^2*z2^3 - 17294*z2^4 + 441000*ln2*z2^2*z3 - 161000*z2*z3^2 - 
    542500*ln2*z2*z5 - 492625*z3*z5)/224000, 
 H[0, 0, 1, 0, -1, -1, -1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    21672000*ln2^2*s6 - 43344000*ln2*s7a - 8064000*ln2*s7b - 17046225*s8a - 
    172368000*s8b + 8064000*s8c - 43344000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 + 104328000*s6*z2 + 8618400*li4half*z2^2 - 
    522900*ln2^4*z2^2 - 10823400*ln2^2*z2^3 + 6084024*z2^4 + 
    61992000*li5half*z3 - 49392000*li4half*ln2*z3 - 2574600*ln2^5*z3 + 
    17514000*ln2^3*z2*z3 + 45567900*ln2*z2^2*z3 - 48699000*ln2^2*z3^2 + 
    6465375*z2*z3^2 - 22785000*ln2^3*z5 - 1606500*ln2*z2*z5 - 
    73143000*z3*z5 - 29806875*ln2*z7)/14112000, 
 H[0, 0, 1, -1, 1, 1, 1, 1, 1] -> (-56448000*li8half - 1400*ln2^8 - 
    3276000*ln2^2*s6 + 20854575*s8a + 224658000*s8b + 6552000*s8c + 
    37548000*s8d + 63504000*li6half*z2 + 127400*ln2^6*z2 - 95382000*s6*z2 + 
    18093600*li4half*z2^2 - 561750*ln2^4*z2^2 - 4372200*ln2^2*z2^3 - 
    16156323*z2^4 + 2520000*li5half*z3 + 81900*ln2^5*z3 - 
    819000*ln2^3*z2*z3 - 7248150*ln2*z2^2*z3 - 921375*ln2^2*z3^2 - 
    22057875*z2*z3^2 - 19656000*ln2*z2*z5 + 29515500*z3*z5)/7056000, 
 H[0, 0, 1, -1, 1, 1, 1, 0, 1] -> (7728000*ln2^2*s6 - 31760925*s8a - 
    243516000*s8b - 15456000*s8c - 31584000*s8d + 86688000*s6*z2 - 
    33717600*li4half*z2^2 + 359100*ln2^4*z2^2 + 3649800*ln2^2*z2^3 + 
    13494672*z2^4 - 2688000*li5half*z3 - 8232000*li4half*ln2*z3 - 
    320600*ln2^5*z3 + 2520000*ln2^3*z2*z3 + 18803400*ln2*z2^2*z3 - 
    1942500*ln2^2*z3^2 + 30481500*z2*z3^2 + 46368000*ln2*z2*z5 - 
    37146375*z3*z5)/4704000, H[0, 0, 1, -1, 1, 1, 1, -1, 1] -> 
  (16934400*li4half^2 - 22579200*li7half*ln2 + 1411200*li4half*ln2^4 + 
    33880*ln2^8 - 10483200*ln2^2*s6 + 42336000*ln2*s7a + 36691200*ln2*s7b - 
    70389900*s8a - 292924800*s8b - 63705600*s8c - 15321600*s8d + 
    56448000*li6half*z2 + 101606400*li5half*ln2*z2 + 
    16934400*li4half*ln2^2*z2 - 156800*ln2^6*z2 + 85680000*s6*z2 - 
    29030400*li4half*z2^2 + 954240*ln2^4*z2^2 + 15896160*ln2^2*z2^3 + 
    1187208*z2^4 - 25804800*li5half*z3 + 69148800*li4half*ln2*z3 + 
    2931600*ln2^5*z3 - 14968800*ln2^3*z2*z3 + 2278080*ln2*z2^2*z3 + 
    53235000*ln2^2*z3^2 + 72651600*z2*z3^2 + 5468400*ln2^3*z5 + 
    75839400*ln2*z2*z5 - 115157700*z3*z5 + 44640225*ln2*z7)/11289600, 
 H[0, 0, 1, -1, 1, 1, 0, 1, 1] -> (18900000*ln2^2*s6 - 60341400*s8a - 
    469602000*s8b - 37800000*s8c - 68040000*s8d - 112896000*li6half*z2 - 
    156800*ln2^6*z2 + 181944000*s6*z2 - 17312400*li4half*z2^2 + 
    1630650*ln2^4*z2^2 - 4567500*ln2^2*z2^3 + 20878461*z2^4 + 
    121968000*li5half*z3 + 37044000*li4half*ln2*z3 + 527100*ln2^5*z3 + 
    2961000*ln2^3*z2*z3 + 30372300*ln2*z2^2*z3 + 23065875*ln2^2*z3^2 + 
    51557625*z2*z3^2 + 113400000*ln2*z2*z5 - 102965625*z3*z5)/7056000, 
 H[0, 0, 1, -1, 1, 1, 0, 0, 1] -> (-21840000*ln2^2*s6 + 75941775*s8a + 
    388752000*s8b + 43680000*s8c + 40992000*s8d - 124320000*s6*z2 + 
    35246400*li4half*z2^2 + 1468600*ln2^4*z2^2 + 1436400*ln2^2*z2^3 - 
    19505796*z2^4 - 91392000*li5half*z3 - 16464000*li4half*ln2*z3 + 
    75600*ln2^5*z3 - 3500000*ln2^3*z2*z3 - 52260600*ln2*z2^2*z3 - 
    10258500*ln2^2*z3^2 - 40845000*z2*z3^2 - 131040000*ln2*z2*z5 + 
    155334375*z3*z5)/4704000, H[0, 0, 1, -1, 1, 1, 0, -1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    327096000*ln2^2*s6 - 139104000*ln2*s7a + 86688000*ln2*s7b - 
    488768175*s8a - 2594088000*s8b - 375984000*s8c - 259056000*s8d + 
    56448000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 1842400*ln2^6*z2 + 
    865620000*s6*z2 + 43444800*li4half*z2^2 - 4657800*ln2^4*z2^2 - 
    149650200*ln2^2*z2^3 - 57789918*z2^4 + 408744000*li5half*z3 - 
    222264000*li4half*ln2*z3 - 12667200*ln2^5*z3 + 91686000*ln2^3*z2*z3 + 
    403401600*ln2*z2^2*z3 - 113289750*ln2^2*z3^2 + 375700500*z2*z3^2 - 
    218736000*ln2^3*z5 + 866250000*ln2*z2*z5 - 622432125*z3*z5 + 
    778278375*ln2*z7)/14112000, H[0, 0, 1, -1, 1, 1, -1, 1, 1] -> 
  (-84672000*li4half^2 + 1016064000*li8half - 56448000*li6half*ln2^2 - 
    7056000*li4half*ln2^4 - 200200*ln2^8 - 327600000*ln2^2*s6 + 
    702602775*s8a + 2998296000*s8b + 429408000*s8c + 290304000*s8d - 
    282240000*li6half*z2 - 423360000*li5half*ln2*z2 - 
    211680000*li4half*ln2^2*z2 - 5213600*ln2^6*z2 - 1067472000*s6*z2 + 
    91929600*li4half*z2^2 + 29290800*ln2^4*z2^2 + 77263200*ln2^2*z2^3 - 
    128649096*z2^4 - 121968000*li5half*z3 + 296352000*li4half*ln2*z3 + 
    12541200*ln2^5*z3 - 118356000*ln2^3*z2*z3 - 387891000*ln2*z2^2*z3 + 
    12820500*ln2^2*z3^2 - 512347500*z2*z3^2 - 634662000*ln2*z2*z5 + 
    832489875*z3*z5)/56448000, H[0, 0, 1, -1, 1, 1, -1, 0, 1] -> 
  (33868800*li4half^2 + 2822400*li4half*ln2^4 + 58800*ln2^8 - 
    11692800*ln2^2*s6 + 34169625*s8a + 224784000*s8b + 23385600*s8c + 
    18950400*s8d - 5644800*li6half*z2 - 16934400*li4half*ln2^2*z2 - 
    713440*ln2^6*z2 - 70358400*s6*z2 - 22599360*li4half*z2^2 - 
    294840*ln2^4*z2^2 + 10951920*ln2^2*z2^3 + 7470396*z2^4 - 
    85881600*li5half*z3 - 19756800*li4half*ln2*z3 - 107520*ln2^5*z3 - 
    3040800*ln2^3*z2*z3 - 64660680*ln2*z2^2*z3 - 11314800*ln2^2*z3^2 - 
    14011200*z2*z3^2 - 70156800*ln2*z2*z5 + 86012325*z3*z5)/5644800, 
 H[0, 0, 1, -1, 1, 1, -1, -1, 1] -> 
  (-564480000*li8half - 37632000*li7half*ln2 + 18816000*li6half*ln2^2 + 
    19600*ln2^8 + 161616000*ln2^2*s6 - 10752000*ln2*s7a + 12768000*ln2*s7b - 
    282176475*s8a - 1702008000*s8b - 226464000*s8c - 116928000*s8d - 
    84672000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 1489600*ln2^6*z2 + 
    337344000*s6*z2 - 16329600*li4half*z2^2 - 7638400*ln2^4*z2^2 - 
    42520800*ln2^2*z2^3 - 3167856*z2^4 + 203280000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 3477600*ln2^5*z3 + 35952000*ln2^3*z2*z3 + 
    188878200*ln2*z2^2*z3 + 37222500*ln2^2*z3^2 + 240481500*z2*z3^2 - 
    22785000*ln2^3*z5 + 641151000*ln2*z2*z5 - 57169875*z3*z5 + 
    495760125*ln2*z7)/18816000, H[0, 0, 1, -1, 1, 0, 1, 1, 1] -> 
  (-3696000*ln2^2*s6 - 8107575*s8a - 60396000*s8b + 7392000*s8c - 
    7392000*s8d + 38304000*s6*z2 + 3813600*li4half*z2^2 + 158900*ln2^4*z2^2 + 
    5665800*ln2^2*z2^3 + 7397288*z2^4 - 69888000*li5half*z3 - 
    24696000*li4half*ln2*z3 - 446600*ln2^5*z3 + 350000*ln2^3*z2*z3 - 
    5649000*ln2*z2^2*z3 - 12358500*ln2^2*z3^2 + 11287500*z2*z3^2 - 
    22176000*ln2*z2*z5 + 8418375*z3*z5)/4704000, 
 H[0, 0, 1, -1, 1, 0, 1, 0, 1] -> (3360000*ln2^2*s6 - 4921350*s8a + 
    18984000*s8b - 6720000*s8c + 6720000*s8d - 13440000*s6*z2 + 
    8164800*li4half*z2^2 + 340200*ln2^4*z2^2 - 5653200*ln2^2*z2^3 - 
    4008981*z2^4 + 52416000*li5half*z3 + 16464000*li4half*ln2*z3 + 
    249200*ln2^5*z3 + 252000*ln2^3*z2*z3 + 12711300*ln2*z2^2*z3 + 
    5061000*ln2^2*z3^2 - 4000500*z2*z3^2 + 20160000*ln2*z2*z5 - 
    39926250*z3*z5)/2352000, H[0, 0, 1, -1, 1, 0, 1, -1, 1] -> 
  (-160608000*ln2^2*s6 + 7392000*ln2*s7a - 67872000*ln2*s7b + 364492800*s8a + 
    1700832000*s8b + 306432000*s8c + 145152000*s8d - 225792000*li6half*z2 - 
    141120000*li5half*ln2*z2 + 862400*ln2^6*z2 - 614880000*s6*z2 + 
    11155200*li4half*z2^2 - 6591200*ln2^4*z2^2 + 81211200*ln2^2*z2^3 + 
    39286568*z2^4 - 102144000*li5half*z3 + 65856000*li4half*ln2*z3 + 
    3595200*ln2^5*z3 - 37324000*ln2^3*z2*z3 - 211873200*ln2*z2^2*z3 - 
    25620000*ln2^2*z3^2 - 289212000*z2*z3^2 + 72912000*ln2^3*z5 - 
    685597500*ln2*z2*z5 + 478233000*z3*z5 - 238641375*ln2*z7)/9408000, 
 H[0, 0, 1, -1, 1, 0, 0, 1, 1] -> (36075*s8a + 168000*s8b - 96000*s6*z2 - 
    11623*z2^4 - 19200*li5half*z3 + 160*ln2^5*z3 - 1600*ln2^3*z2*z3 - 
    12060*ln2*z2^2*z3 + 6300*ln2^2*z3^2 - 6300*z2*z3^2 + 69525*z3*z5)/9600, 
 H[0, 0, 1, -1, 1, 0, 0, 0, 1] -> 
  (-84175*s8a - 392000*s8b + 100800*ln2^2*z2^3 + 31546*z2^4 + 
    51520*ln2*z2^2*z3 + 14700*z2*z3^2 - 98175*z3*z5)/22400, 
 H[0, 0, 1, -1, 1, 0, 0, -1, 1] -> (-145152000*ln2^2*s6 + 48384000*ln2*s7a - 
    64512000*ln2*s7b + 263099550*s8a + 1369200000*s8b + 193536000*s8c + 
    145152000*s8d - 459648000*s6*z2 + 29030400*li4half*z2^2 + 
    1209600*ln2^4*z2^2 + 58060800*ln2^2*z2^3 + 3364738*z2^4 - 
    297360000*li5half*z3 + 2478000*ln2^5*z3 - 24780000*ln2^3*z2*z3 - 
    193552800*ln2*z2^2*z3 + 30177000*ln2^2*z3^2 - 204981000*z2*z3^2 + 
    109368000*ln2^3*z5 - 387576000*ln2*z2*z5 + 451129875*z3*z5 - 
    446974500*ln2*z7)/4704000, H[0, 0, 1, -1, 1, 0, -1, 1, 1] -> 
  (206304000*ln2^2*s6 - 394480275*s8a - 1865640000*s8b - 318528000*s8c - 
    189504000*s8d - 451584000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    78400*ln2^6*z2 + 388416000*s6*z2 - 20025600*li4half*z2^2 + 
    1517600*ln2^4*z2^2 - 78170400*ln2^2*z2^3 + 50820236*z2^4 + 
    244944000*li5half*z3 - 65856000*li4half*ln2*z3 - 4785200*ln2^5*z3 + 
    49224000*ln2^3*z2*z3 + 274696800*ln2*z2^2*z3 + 43617000*ln2^2*z3^2 + 
    412209000*z2*z3^2 + 1032979500*ln2*z2*z5 - 572481000*z3*z5)/9408000, 
 H[0, 0, 1, -1, 1, 0, -1, 0, 1] -> (-6048000*ln2^2*s6 - 2040150*s8a - 
    37464000*s8b + 12096000*s8c - 12096000*s8d + 35952000*s6*z2 + 
    4401600*li4half*z2^2 + 183400*ln2^4*z2^2 + 109200*ln2^2*z2^3 + 
    6442971*z2^4 + 21840000*li5half*z3 + 16464000*li4half*ln2*z3 + 
    504000*ln2^5*z3 - 2296000*ln2^3*z2*z3 + 8507100*ln2*z2^2*z3 + 
    1386000*ln2^2*z3^2 - 10027500*z2*z3^2 - 36288000*ln2*z2*z5 - 
    33733875*z3*z5)/2352000, H[0, 0, 1, -1, 1, 0, -1, -1, 1] -> 
  (-43008000*ln2^2*s6 - 35616000*ln2*s7a + 39648000*ln2*s7b + 52262700*s8a + 
    257376000*s8b + 63168000*s8c - 6720000*s8d + 8736000*s6*z2 - 
    1344000*li4half*z2^2 - 56000*ln2^4*z2^2 + 32961600*ln2^2*z2^3 + 
    33089872*z2^4 + 13440000*li5half*z3 - 112000*ln2^5*z3 + 
    1120000*ln2^3*z2*z3 - 26535600*ln2*z2^2*z3 - 66633000*ln2^2*z3^2 - 
    49691250*z2*z3^2 - 72912000*ln2^3*z5 - 308322000*ln2*z2*z5 - 
    69496875*z3*z5 - 44609250*ln2*z7)/9408000, 
 H[0, 0, 1, -1, 1, -1, 1, 1, 1] -> (10752000*li8half - 448000*li5half*ln2^3 + 
    4000*ln2^8 + 5040000*ln2^2*s6 - 13057800*s8a - 42336000*s8b - 
    10080000*s8c + 1008000*s8d - 4032000*li6half*z2 + 
    1344000*li5half*ln2*z2 - 61600*ln2^6*z2 + 3528000*s6*z2 + 
    2116800*li4half*z2^2 + 386400*ln2^4*z2^2 - 1508400*ln2^2*z2^3 - 
    1021428*z2^4 - 8400000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    243600*ln2^5*z3 + 2268000*ln2^3*z2*z3 + 10206000*ln2*z2^2*z3 - 
    1963500*ln2^2*z3^2 + 15697500*z2*z3^2 - 976500*ln2^3*z5 + 
    33169500*ln2*z2*z5 - 23879625*z3*z5)/1344000, 
 H[0, 0, 1, -1, 1, -1, 1, 0, 1] -> (-16128000*ln2^2*s6 + 40646550*s8a + 
    204288000*s8b + 32256000*s8c + 14784000*s8d - 2352000*li5half*ln2*z2 + 
    19600*ln2^6*z2 - 53088000*s6*z2 + 2956800*li4half*z2^2 - 
    1836800*ln2^4*z2^2 + 6337800*ln2^2*z2^3 + 2098608*z2^4 - 
    24864000*li5half*z3 + 207200*ln2^5*z3 - 2415000*ln2^3*z2*z3 - 
    36682800*ln2*z2^2*z3 - 2478000*ln2^2*z3^2 - 37348500*z2*z3^2 - 
    101894625*ln2*z2*z5 + 65226000*z3*z5)/2352000, 
 H[0, 0, 1, -1, 1, -1, 1, -1, 1] -> 
  (322560*li7half*ln2 + 53760*li5half*ln2^3 - 512*ln2^8 - 5760*ln2^2*s6 + 
    5760*ln2*s7a + 368640*ln2*s7b - 161280*li5half*ln2*z2 + 7168*ln2^6*z2 - 
    28224*ln2^4*z2^2 + 19872*ln2^2*z2^3 - 49680*z2^4 + 80640*li5half*z3 + 
    1680*ln2^5*z3 - 178080*ln2^3*z2*z3 - 248112*ln2*z2^2*z3 + 
    42480*ln2^2*z3^2 - 95760*z2*z3^2 - 234360*ln2^3*z5 - 1687680*ln2*z2*z5 + 
    389970*z3*z5 + 3532005*ln2*z7)/161280, H[0, 0, 1, -1, 1, -1, 0, 1, 1] -> 
  (-185472000*ln2^2*s6 + 569997225*s8a + 2552760000*s8b + 370944000*s8c + 
    193536000*s8d + 451584000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    1097600*ln2^6*z2 - 556416000*s6*z2 - 14918400*li4half*z2^2 - 
    14733600*ln2^4*z2^2 + 40824000*ln2^2*z2^3 - 69599844*z2^4 - 
    126000000*li5half*z3 + 197568000*li4half*ln2*z3 + 9282000*ln2^5*z3 - 
    68124000*ln2^3*z2*z3 - 401536800*ln2*z2^2*z3 + 28098000*ln2^2*z3^2 - 
    617778000*z2*z3^2 - 1235871000*ln2*z2*z5 + 1007937000*z3*z5)/28224000, 
 H[0, 0, 1, -1, 1, -1, 0, 0, 1] -> (10752000*ln2^2*s6 - 33668600*s8a - 
    169120000*s8b - 21504000*s8c - 16128000*s8d + 51072000*s6*z2 - 
    3225600*li4half*z2^2 - 134400*ln2^4*z2^2 - 3696000*ln2^2*z2^3 + 
    1799774*z2^4 + 29904000*li5half*z3 - 249200*ln2^5*z3 + 
    2492000*ln2^3*z2*z3 + 32471600*ln2*z2^2*z3 + 1995000*ln2^2*z3^2 + 
    26761000*z2*z3^2 + 64512000*ln2*z2*z5 - 65907625*z3*z5)/1568000, 
 H[0, 0, 1, -1, 1, -1, 0, -1, 1] -> (-71769600*ln2^2*s6 + 17740800*ln2*s7a - 
    38707200*ln2*s7b + 130032000*s8a + 619920000*s8b + 108057600*s8c + 
    49996800*s8d - 22579200*li6half*z2 - 2822400*li5half*ln2*z2 - 
    7840*ln2^6*z2 - 184665600*s6*z2 + 4636800*li4half*z2^2 + 
    428400*ln2^4*z2^2 + 30134160*ln2^2*z2^3 + 12643452*z2^4 - 
    76003200*li5half*z3 + 19756800*li4half*ln2*z3 + 1456560*ln2^5*z3 - 
    11684400*ln2^3*z2*z3 - 82391400*ln2*z2^2*z3 + 7597800*ln2^2*z3^2 - 
    107944200*z2*z3^2 + 54684000*ln2^3*z5 - 214858350*ln2*z2*z5 + 
    171500175*z3*z5 - 251559000*ln2*z7)/2822400, 
 H[0, 0, 1, -1, 1, -1, -1, 1, 1] -> 
  (1241856000*li8half - 56448000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    204400*ln2^8 - 20160000*ln2^2*s6 + 425931975*s8a + 2733192000*s8b + 
    167328000*s8c + 213696000*s8d - 395136000*li6half*z2 - 
    254016000*li5half*ln2*z2 + 3449600*ln2^6*z2 - 893088000*s6*z2 + 
    42739200*li4half*z2^2 - 24620400*ln2^4*z2^2 - 77817600*ln2^2*z2^3 - 
    76119264*z2^4 - 505008000*li5half*z3 + 5031600*ln2^5*z3 - 
    50316000*ln2^3*z2*z3 - 436476600*ln2*z2^2*z3 + 137875500*ln2^2*z3^2 - 
    364738500*z2*z3^2 + 41013000*ln2^3*z5 - 540351000*ln2*z2*z5 + 
    944440875*z3*z5)/56448000, H[0, 0, 1, -1, 1, -1, -1, 0, 1] -> 
  (28828800*ln2^2*s6 - 99604575*s8a - 481824000*s8b - 57657600*s8c - 
    46771200*s8d - 5644800*li6half*z2 + 5644800*li5half*ln2*z2 - 
    54880*ln2^6*z2 + 152107200*s6*z2 + 8285760*li4half*z2^2 + 
    4637640*ln2^4*z2^2 - 17821440*ln2^2*z2^3 + 5352696*z2^4 + 
    72374400*li5half*z3 + 9878400*li4half*ln2*z3 - 191520*ln2^5*z3 + 
    4384800*ln2^3*z2*z3 + 96117840*ln2*z2^2*z3 + 7490700*ln2^2*z3^2 + 
    80507700*z2*z3^2 + 185276700*ln2*z2*z5 - 217554750*z3*z5)/5644800, 
 H[0, 0, 1, -1, 1, -1, -1, -1, 1] -> 
  (-564480000*li8half + 112896000*li7half*ln2 + 56448000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 198800*ln2^8 - 352800000*ln2^2*s6 + 
    24192000*ln2*s7a - 201600000*ln2*s7b + 439300575*s8a + 1637496000*s8b + 
    530208000*s8c - 64512000*s8d - 254016000*li6half*z2 - 2234400*ln2^6*z2 - 
    103824000*s6*z2 - 39715200*li4half*z2^2 + 14868000*ln2^4*z2^2 + 
    203817600*ln2^2*z2^3 + 272593512*z2^4 + 248976000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 1218000*ln2^5*z3 + 18396000*ln2^3*z2*z3 - 
    104517000*ln2*z2^2*z3 - 162508500*ln2^2*z3^2 - 394348500*z2*z3^2 + 
    177723000*ln2^3*z5 - 991368000*ln2*z2*z5 - 123361875*z3*z5 - 
    2359066500*ln2*z7)/56448000, H[0, 0, 1, -1, 0, 1, 1, 1, 1] -> 
  (-672000*ln2^2*s6 + 2521575*s8a - 12432000*s8b + 1344000*s8c - 
    1344000*s8d + 7392000*s6*z2 - 3460800*li4half*z2^2 - 144200*ln2^4*z2^2 + 
    831600*ln2^2*z2^3 + 365892*z2^4 + 2688000*li5half*z3 + 
    2352000*li4half*ln2*z3 + 75600*ln2^5*z3 - 364000*ln2^3*z2*z3 - 
    869400*ln2*z2^2*z3 + 840000*ln2^2*z3^2 - 3150000*z2*z3^2 - 
    4032000*ln2*z2*z5 + 7840875*z3*z5)/1344000, 
 H[0, 0, 1, -1, 0, 1, 1, 0, 1] -> 
  (-476175*s8a + 3864000*s8b + 2284800*li4half*z2^2 + 95200*ln2^4*z2^2 - 
    571200*ln2^2*z2^3 - 279453*z2^4 - 388500*ln2*z2^2*z3 - 36750*z2*z3^2 - 
    1913625*z3*z5)/336000, H[0, 0, 1, -1, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    30744000*ln2^2*s6 - 6048000*ln2*s7a - 104832000*ln2*s7b + 80929800*s8a + 
    509544000*s8b + 73584000*s8c + 53424000*s8d + 169344000*li6half*z2 - 
    28224000*li4half*ln2^2*z2 - 940800*ln2^6*z2 - 71568000*s6*z2 + 
    76305600*li4half*z2^2 + 8471400*ln2^4*z2^2 - 46393200*ln2^2*z2^3 - 
    35355132*z2^4 - 237384000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    6253800*ln2^5*z3 + 48132000*ln2^3*z2*z3 - 21760200*ln2*z2^2*z3 - 
    17907750*ln2^2*z3^2 - 115219125*z2*z3^2 + 95697000*ln2^3*z5 - 
    29783250*ln2*z2*z5 + 298194750*z3*z5 - 322772625*ln2*z7)/14112000, 
 H[0, 0, 1, -1, 0, 1, 0, 1, 1] -> (1344000*ln2^2*s6 - 1878975*s8a + 
    2856000*s8b - 2688000*s8c + 2688000*s8d - 8736000*s6*z2 + 
    1008000*li4half*z2^2 + 42000*ln2^4*z2^2 - 184800*ln2^2*z2^3 - 
    954306*z2^4 - 5376000*li5half*z3 - 4704000*li4half*ln2*z3 - 
    151200*ln2^5*z3 + 728000*ln2^3*z2*z3 + 3973200*ln2*z2^2*z3 - 
    1680000*ln2^2*z3^2 + 3580500*z2*z3^2 + 8064000*ln2*z2*z5 - 1929375*z3*z5)/
   672000, H[0, 0, 1, -1, 0, 1, 0, 0, 1] -> 
  (-155925*s8a - 1176000*s8b - 1075200*li4half*z2^2 - 44800*ln2^4*z2^2 + 
    268800*ln2^2*z2^3 + 340602*z2^4 - 142800*ln2*z2^2*z3 - 147000*z2*z3^2 + 
    396375*z3*z5)/112000, H[0, 0, 1, -1, 0, 1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 4032000*ln2*s7a + 4032000*ln2*s7b + 368550*s8a + 
    7056000*s8b - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 504000*s6*z2 - 
    9072000*li4half*z2^2 + 126000*ln2^4*z2^2 + 2973600*ln2^2*z2^3 + 
    3594033*z2^4 + 14112000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    764400*ln2^5*z3 - 4116000*ln2^3*z2*z3 - 3320100*ln2*z2^2*z3 + 
    5040000*ln2^2*z3^2 + 196875*z2*z3^2 - 11844000*ln2*z2*z5 - 
    20341125*z3*z5 + 3126375*ln2*z7)/1008000, 
 H[0, 0, 1, -1, 0, 1, -1, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    33264000*ln2^2*s6 + 69421275*s8a + 309960000*s8b + 70560000*s8c + 
    14112000*s8d + 193536000*li6half*z2 + 96768000*li5half*ln2*z2 + 
    20160000*li4half*ln2^2*z2 + 302400*ln2^6*z2 + 32256000*s6*z2 - 
    8064000*li4half*z2^2 - 1848000*ln2^4*z2^2 + 13960800*ln2^2*z2^3 - 
    9270216*z2^4 - 36288000*li5half*z3 + 302400*ln2^5*z3 - 
    13608000*ln2^3*z2*z3 - 52075800*ln2*z2^2*z3 - 17073000*ln2^2*z3^2 - 
    96516000*z2*z3^2 - 315063000*ln2*z2*z5 + 67591125*z3*z5)/4032000, 
 H[0, 0, 1, -1, 0, 1, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    36288000*ln2^2*s6 - 31340925*s8a - 4536000*s8b - 72576000*s8c + 
    72576000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    141624000*s6*z2 + 46972800*li4half*z2^2 - 1570800*ln2^4*z2^2 - 
    3124800*ln2^2*z2^3 - 42800013*z2^4 - 88704000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 1318800*ln2^5*z3 + 4956000*ln2^3*z2*z3 + 
    37377900*ln2*z2^2*z3 + 10206000*ln2^2*z3^2 + 40154625*z2*z3^2 + 
    217728000*ln2*z2*z5 + 109297125*z3*z5)/7056000, 
 H[0, 0, 1, -1, 0, 1, -1, -1, 1] -> 
  (1603200*ln2^2*s6 - 393600*ln2*s7a + 547200*ln2*s7b - 3240825*s8a - 
    14784000*s8b - 2553600*s8c - 1478400*s8d + 1612800*li6half*z2 - 
    403200*li4half*ln2^2*z2 - 14560*ln2^6*z2 + 5846400*s6*z2 - 
    235200*li4half*z2^2 + 57400*ln2^4*z2^2 - 931680*ln2^2*z2^3 - 44514*z2^4 + 
    3057600*li5half*z3 - 25480*ln2^5*z3 + 431200*ln2^3*z2*z3 + 
    2516820*ln2*z2^2*z3 - 203250*ln2^2*z3^2 + 2405025*z2*z3^2 - 
    911400*ln2^3*z5 + 6024000*ln2*z2*z5 - 6603975*z3*z5 + 945375*ln2*z7)/
   134400, H[0, 0, 1, -1, 0, 0, 1, 1, 1] -> 
  (-672000*ln2^2*s6 + 330225*s8a + 6048000*s8b + 1344000*s8c - 1344000*s8d - 
    672000*s6*z2 - 772800*li4half*z2^2 - 32200*ln2^4*z2^2 + 
    159600*ln2^2*z2^3 + 622536*z2^4 + 2688000*li5half*z3 + 
    2352000*li4half*ln2*z3 + 75600*ln2^5*z3 - 364000*ln2^3*z2*z3 - 
    1692600*ln2*z2^2*z3 + 840000*ln2^2*z3^2 - 1218000*z2*z3^2 - 
    4032000*ln2*z2*z5 - 217875*z3*z5)/672000, 
 H[0, 0, 1, -1, 0, 0, 1, 0, 1] -> (35000*s8a + 351*z2^4 - 4620*ln2*z2^2*z3 + 
    7350*z2*z3^2 - 38150*z3*z5)/11200, H[0, 0, 1, -1, 0, 0, 1, -1, 1] -> 
  (23408000*ln2^2*s6 - 7280000*ln2*s7a + 11536000*ln2*s7b - 41589800*s8a - 
    214480000*s8b - 32256000*s8c - 24192000*s8d + 74256000*s6*z2 - 
    4838400*li4half*z2^2 - 201600*ln2^4*z2^2 - 9539600*ln2^2*z2^3 + 
    1185407*z2^4 + 48384000*li5half*z3 - 403200*ln2^5*z3 + 
    4032000*ln2^3*z2*z3 + 31337600*ln2*z2^2*z3 - 4564000*ln2^2*z3^2 + 
    35658000*z2*z3^2 - 18228000*ln2^3*z5 + 73685500*ln2*z2*z5 - 
    85897875*z3*z5 + 41071625*ln2*z7)/784000, 
 H[0, 0, 1, -1, 0, 0, 0, 1, 1] -> (-151725*s8a - 1176000*s8b + 672000*s6*z2 - 
    4754*z2^4 + 47040*ln2*z2^2*z3 - 132300*z2*z3^2 + 387975*z3*z5)/67200, 
 H[0, 0, 1, -1, 0, 0, 0, 0, 1] -> 
  (3*(4275*s8a + 40000*s8b - 3386*z2^4 - 13625*z3*z5))/8000, 
 H[0, 0, 1, -1, 0, 0, 0, -1, 1] -> 
  (-642600*s8a - 6720000*s8b + 336000*s6*z2 - 1008956*z2^4 + 
    205800*ln2*z2^2*z3 - 47250*z2*z3^2 + 4580625*z3*z5 + 11668125*ln2*z7)/
   336000, H[0, 0, 1, -1, 0, 0, -1, 1, 1] -> 
  (-7190400*ln2^2*s6 + 12389475*s8a + 64579200*s8b + 8736000*s8c + 
    8198400*s8d - 24864000*s6*z2 + 1639680*li4half*z2^2 + 68320*ln2^4*z2^2 + 
    4129440*ln2^2*z2^3 - 945741*z2^4 - 16396800*li5half*z3 + 
    136640*ln2^5*z3 - 1366400*ln2^3*z2*z3 - 10219860*ln2*z2^2*z3 - 
    170100*ln2^2*z3^2 - 9830100*z2*z3^2 - 26208000*ln2*z2*z5 + 
    27200775*z3*z5)/470400, H[0, 0, 1, -1, 0, 0, -1, 0, 1] -> 
  (3*(29925*s8a + 280000*s8b - 112000*s6*z2 + 6918*z2^4 - 65800*ln2*z2^2*z3 + 
     29750*z2*z3^2 - 83125*z3*z5))/56000, H[0, 0, 1, -1, 0, 0, -1, -1, 1] -> 
  (-68544000*ln2^2*s6 + 53088000*ln2*s7a - 59808000*ln2*s7b + 125519100*s8a + 
    634032000*s8b + 87360000*s8c + 81984000*s8d - 260400000*s6*z2 + 
    16396800*li4half*z2^2 + 683200*ln2^4*z2^2 + 17119200*ln2^2*z2^3 - 
    16518954*z2^4 - 180432000*li5half*z3 + 1503600*ln2^5*z3 - 
    15036000*ln2^3*z2*z3 - 101879400*ln2*z2^2*z3 + 50694000*ln2^2*z3^2 - 
    97235250*z2*z3^2 + 109368000*ln2^3*z5 - 82866000*ln2*z2*z5 + 
    317485875*z3*z5 - 180794250*ln2*z7)/4704000, 
 H[0, 0, 1, -1, 0, -1, 1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    840000*ln2^2*s6 - 33873525*s8a - 296016000*s8b - 1680000*s8c - 
    78288000*s8d - 112896000*li6half*z2 - 156800*ln2^6*z2 + 142464000*s6*z2 - 
    32356800*li4half*z2^2 - 760200*ln2^4*z2^2 + 6745200*ln2^2*z2^3 + 
    33951756*z2^4 - 12768000*li5half*z3 + 16464000*li4half*ln2*z3 + 
    792400*ln2^5*z3 + 994000*ln2^3*z2*z3 - 16913400*ln2*z2^2*z3 + 
    11040750*ln2^2*z3^2 + 20553750*z2*z3^2 + 7595000*ln2^3*z5 - 
    17745000*ln2*z2*z5 + 37582125*z3*z5)/4704000, 
 H[0, 0, 1, -1, 0, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    20160000*ln2^2*s6 - 19881225*s8a - 9576000*s8b - 40320000*s8c + 
    40320000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    80640000*s6*z2 + 71568000*li4half*z2^2 - 546000*ln2^4*z2^2 - 
    23688000*ln2^2*z2^3 - 27967761*z2^4 + 258048000*li5half*z3 + 
    49392000*li4half*ln2*z3 - 92400*ln2^5*z3 + 9156000*ln2^3*z2*z3 + 
    113091300*ln2*z2^2*z3 + 5670000*ln2^2*z3^2 + 32004000*z2*z3^2 + 
    155137500*ln2*z2*z5 - 315244125*z3*z5)/7056000, 
 H[0, 0, 1, -1, 0, -1, 1, -1, 1] -> (-6048000*ln2*s7a + 10416000*ln2*s7b + 
    15982050*s8a + 82488000*s8b + 12096000*s8c + 6720000*s8d - 
    56448000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 196000*ln2^6*z2 - 53424000*s6*z2 + 
    2520000*li4half*z2^2 + 105000*ln2^4*z2^2 + 2772000*ln2^2*z2^3 + 
    8170998*z2^4 + 14784000*li5half*z3 + 8232000*li4half*ln2*z3 + 
    219800*ln2^5*z3 - 7000000*ln2^3*z2*z3 - 7585200*ln2*z2^2*z3 - 
    9261000*ln2^2*z3^2 - 399000*z2*z3^2 - 19747000*ln2^3*z5 - 
    110250*ln2*z2*z5 - 13245750*z3*z5 + 19737375*ln2*z7)/2352000, 
 H[0, 0, 1, -1, 0, -1, 0, 1, 1] -> (672000*ln2^2*s6 - 1474725*s8a - 
    3192000*s8b - 1344000*s8c + 1344000*s8d - 2688000*s6*z2 + 
    1008000*li4half*z2^2 + 42000*ln2^4*z2^2 - 218400*ln2^2*z2^3 - 
    657621*z2^4 - 2688000*li5half*z3 - 2352000*li4half*ln2*z3 - 
    75600*ln2^5*z3 + 364000*ln2^3*z2*z3 + 1854300*ln2*z2^2*z3 - 
    840000*ln2^2*z3^2 + 2656500*z2*z3^2 + 7287000*ln2*z2*z5 - 2814000*z3*z5)/
   336000, H[0, 0, 1, -1, 0, -1, 0, 0, 1] -> 
  (209475*s8a + 504000*s8b - 67200*li4half*z2^2 - 2800*ln2^4*z2^2 + 
    16800*ln2^2*z2^3 - 192564*z2^4 - 298200*ln2*z2^2*z3 - 196000*z2*z3^2 + 
    1532125*z3*z5)/112000, H[0, 0, 1, -1, 0, -1, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 4032000*ln2*s7a - 4032000*ln2*s7b + 113400*s8a - 
    13104000*s8b + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    2016000*s6*z2 + 4636800*li4half*z2^2 - 310800*ln2^4*z2^2 - 
    1864800*ln2^2*z2^3 - 3511611*z2^4 + 14112000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 411600*ln2^5*z3 + 2940000*ln2^3*z2*z3 + 
    9317700*ln2*z2^2*z3 - 5040000*ln2^2*z3^2 + 362250*z2*z3^2 + 
    16726500*ln2*z2*z5 - 2827125*z3*z5 - 5126625*ln2*z7)/1008000, 
 H[0, 0, 1, -1, 0, -1, -1, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 1680000*ln2^2*s6 - 
    7128975*s8a - 32256000*s8b - 4704000*s8c - 672000*s8d - 
    32256000*li6half*z2 + 2016000*li4half*ln2^2*z2 + 39200*ln2^6*z2 - 
    12096000*s6*z2 - 1646400*li4half*z2^2 - 152600*ln2^4*z2^2 + 
    3966000*ln2^2*z2^3 + 3727704*z2^4 - 4032000*li5half*z3 - 
    2352000*li4half*ln2*z3 - 64400*ln2^5*z3 + 2016000*ln2^3*z2*z3 + 
    6274800*ln2*z2^2*z3 - 2761500*ln2^2*z3^2 + 15760500*z2*z3^2 - 
    2170000*ln2^3*z5 + 22207500*ln2*z2*z5 - 14353500*z3*z5)/1344000, 
 H[0, 0, 1, -1, 0, -1, -1, 0, 1] -> 
  (1751925*s8a + 7392000*s8b - 336000*s6*z2 - 2049600*li4half*z2^2 - 
    85400*ln2^4*z2^2 + 512400*ln2^2*z2^3 + 43488*z2^4 - 4305000*ln2*z2^2*z3 - 
    1785000*z2*z3^2 - 3255000*ln2*z2*z5 + 8549625*z3*z5)/672000, 
 H[0, 0, 1, -1, 0, -1, -1, -1, 1] -> 
  (-161280*li4half^2 - 13440*li4half*ln2^4 - 280*ln2^8 - 238080*ln2^2*s6 + 
    103680*ln2*s7a - 272640*ln2*s7b + 512715*s8a + 2298240*s8b + 322560*s8c + 
    376320*s8d + 80640*li4half*ln2^2*z2 + 3360*ln2^6*z2 - 1196160*s6*z2 + 
    124992*li4half*z2^2 - 4872*ln2^4*z2^2 + 52752*ln2^2*z2^3 - 167148*z2^4 - 
    376320*li5half*z3 + 3136*ln2^5*z3 - 31360*ln2^3*z2*z3 - 
    280464*ln2*z2^2*z3 + 180000*ln2^2*z3^2 - 397740*z2*z3^2 + 
    451360*ln2^3*z5 - 155040*ln2*z2*z5 + 1349040*z3*z5 - 286485*ln2*z7)/
   53760, H[0, 0, 1, -1, -1, 1, 1, 1, 1] -> 
  (-56448000*li4half^2 - 1241856000*li8half + 67200*ln2^8 + 
    154224000*ln2^2*s6 - 331580025*s8a - 2126376000*s8b - 308448000*s8c - 
    58464000*s8d + 508032000*li6half*z2 + 392000*ln2^6*z2 + 596736000*s6*z2 + 
    6652800*li4half*z2^2 + 3511200*ln2^4*z2^2 - 49946400*ln2^2*z2^3 - 
    51245064*z2^4 + 399168000*li5half*z3 + 98784000*li4half*ln2*z3 - 
    33600*ln2^5*z3 + 31500000*ln2^3*z2*z3 + 306999000*ln2*z2^2*z3 + 
    92767500*ln2^2*z3^2 + 144238500*z2*z3^2 + 925344000*ln2*z2*z5 - 
    24404625*z3*z5)/56448000, H[0, 0, 1, -1, -1, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    52416000*ln2^2*s6 + 14488425*s8a - 229824000*s8b + 104832000*s8c - 
    161280000*s8d + 350784000*s6*z2 - 84470400*li4half*z2^2 + 
    8400*ln2^4*z2^2 + 10609200*ln2^2*z2^3 + 72216828*z2^4 + 
    209664000*li5half*z3 + 91728000*li4half*ln2*z3 + 2074800*ln2^5*z3 - 
    9576000*ln2^3*z2*z3 - 77162400*ln2*z2^2*z3 - 11655000*ln2^2*z3^2 - 
    52825500*z2*z3^2 - 314496000*ln2*z2*z5 - 157444875*z3*z5)/28224000, 
 H[0, 0, 1, -1, -1, 1, 1, -1, 1] -> 
  (56448000*li4half^2 + 1693440000*li8half + 112896000*li7half*ln2 - 
    78400*ln2^8 - 500976000*ln2^2*s6 + 114912000*ln2*s7a - 
    110880000*ln2*s7b + 953062425*s8a + 5251176000*s8b + 772128000*s8c + 
    399168000*s8d + 225792000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 1489600*ln2^6*z2 - 1228752000*s6*z2 + 
    43142400*li4half*z2^2 - 10550400*ln2^4*z2^2 + 130132800*ln2^2*z2^3 - 
    95498712*z2^4 - 1024128000*li5half*z3 + 9357600*ln2^5*z3 - 
    85344000*ln2^3*z2*z3 - 820701000*ln2*z2^2*z3 + 28885500*ln2^2*z3^2 - 
    842593500*z2*z3^2 + 218736000*ln2^3*z5 - 2519433000*ln2*z2*z5 + 
    1234162125*z3*z5 - 102949875*ln2*z7)/56448000, 
 H[0, 0, 1, -1, -1, 1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    45360000*ln2^2*s6 - 71994825*s8a + 46368000*s8b - 90720000*s8c + 
    90720000*s8d - 225792000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 
    274400*ln2^6*z2 - 336672000*s6*z2 + 61891200*li4half*z2^2 + 
    1990800*ln2^4*z2^2 + 6148800*ln2^2*z2^3 - 2924892*z2^4 - 
    181440000*li5half*z3 - 183456000*li4half*ln2*z3 - 6132000*ln2^5*z3 + 
    22512000*ln2^3*z2*z3 + 142871400*ln2*z2^2*z3 - 58243500*ln2^2*z3^2 + 
    166824000*z2*z3^2 + 272160000*ln2*z2*z5 - 141994125*z3*z5)/28224000, 
 H[0, 0, 1, -1, -1, 1, 0, 0, 1] -> (-1083*z2^4 - 38400*li5half*z3 - 
    19200*li4half*ln2*z3 - 480*ln2^5*z3 + 1600*ln2^3*z2*z3 - 
    3780*ln2*z2^2*z3 - 6300*ln2^2*z3^2 - 7800*z2*z3^2 + 56400*z3*z5)/9600, 
 H[0, 0, 1, -1, -1, 1, 0, -1, 1] -> (-22176000*ln2^2*s6 - 47376000*ln2*s7a - 
    75600000*ln2*s7b + 101135475*s8a + 394128000*s8b + 139104000*s8c - 
    54432000*s8d - 56448000*li6half*z2 + 7056000*li4half*ln2^2*z2 + 
    215600*ln2^6*z2 + 27720000*s6*z2 + 19454400*li4half*z2^2 + 
    222600*ln2^4*z2^2 - 1474200*ln2^2*z2^3 + 54705906*z2^4 + 
    20664000*li5half*z3 - 105840000*li4half*ln2*z3 - 4582200*ln2^5*z3 + 
    26124000*ln2^3*z2*z3 + 5046300*ln2*z2^2*z3 - 86499000*ln2^2*z3^2 - 
    87790500*z2*z3^2 + 27342000*ln2^3*z5 - 194355000*ln2*z2*z5 - 
    66276000*z3*z5 - 566992125*ln2*z7)/14112000, 
 H[0, 0, 1, -1, -1, 1, -1, 1, 1] -> (-16934400*li4half^2 + 67737600*li8half + 
    5644800*li6half*ln2^2 - 1881600*li4half*ln2^4 - 39480*ln2^8 + 
    2923200*ln2^2*s6 - 270900*s8a + 56347200*s8b + 1209600*s8c + 
    12902400*s8d - 5644800*li6half*z2 - 8467200*li5half*ln2*z2 - 
    5644800*li4half*ln2^2*z2 - 219520*ln2^6*z2 - 26510400*s6*z2 + 
    12176640*li4half*z2^2 + 1689240*ln2^4*z2^2 - 1562400*ln2^2*z2^3 - 
    3429432*z2^4 + 17236800*li5half*z3 - 2822400*li4half*ln2*z3 - 
    178920*ln2^5*z3 - 7030800*ln2^3*z2*z3 + 18065880*ln2*z2^2*z3 - 
    8747550*ln2^2*z3^2 + 7626150*z2*z3^2 + 737100*ln2*z2*z5 - 76096125*z3*z5)/
   5644800, H[0, 0, 1, -1, -1, 1, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    9072000*ln2^2*s6 + 97147575*s8a + 618912000*s8b - 18144000*s8c + 
    145152000*s8d + 28224000*li6half*z2 - 70560000*li4half*ln2^2*z2 - 
    2900800*ln2^6*z2 - 336168000*s6*z2 - 84571200*li4half*z2^2 - 
    1465800*ln2^4*z2^2 + 45788400*ln2^2*z2^3 - 46423728*z2^4 - 
    473760000*li5half*z3 - 91728000*li4half*ln2*z3 + 126000*ln2^5*z3 - 
    12432000*ln2^3*z2*z3 - 208013400*ln2*z2^2*z3 - 22144500*ln2^2*z3^2 - 
    40083750*z2*z3^2 + 54432000*ln2*z2*z5 + 709923375*z3*z5)/28224000, 
 H[0, 0, 1, -1, -1, 1, -1, -1, 1] -> 
  (18816000*li4half^2 + 37632000*li7half*ln2 - 18816000*li6half*ln2^2 + 
    3136000*li4half*ln2^4 + 64400*ln2^8 + 66864000*ln2^2*s6 - 
    41664000*ln2*s7a + 672000*ln2*s7b - 124525800*s8a - 488544000*s8b - 
    73920000*s8c - 67200000*s8d + 28224000*li6half*z2 + 
    9408000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 200256000*s6*z2 + 
    1142400*li4half*z2^2 - 2480800*ln2^4*z2^2 - 41630400*ln2^2*z2^3 + 
    11335392*z2^4 + 66192000*li5half*z3 - 89376000*li4half*ln2*z3 - 
    4550000*ln2^5*z3 + 50792000*ln2^3*z2*z3 + 110392800*ln2*z2^2*z3 - 
    56311500*ln2^2*z3^2 + 104464500*z2*z3^2 - 41013000*ln2^3*z5 + 
    218463000*ln2*z2*z5 - 280796250*z3*z5 - 72316125*ln2*z7)/18816000, 
 H[0, 0, 1, -1, -1, 0, 1, 1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 + 2217600*ln2^2*s6 - 
    4691925*s8a + 42940800*s8b - 4435200*s8c + 4435200*s8d - 
    2822400*li4half*ln2^2*z2 - 117600*ln2^6*z2 - 27216000*s6*z2 + 
    604800*li4half*z2^2 + 378000*ln2^4*z2^2 - 4122720*ln2^2*z2^3 - 
    226176*z2^4 + 13708800*li5half*z3 - 1411200*li4half*ln2*z3 - 
    173040*ln2^5*z3 + 1495200*ln2^3*z2*z3 + 5276880*ln2*z2^2*z3 + 
    1241100*ln2^2*z3^2 + 6281100*z2*z3^2 + 13305600*ln2*z2*z5 - 
    30452625*z3*z5)/5644800, H[0, 0, 1, -1, -1, 0, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 + 14400225*s8a - 67536000*s8b - 36288000*s8c + 
    36288000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    72576000*s6*z2 + 9374400*li4half*z2^2 - 3137400*ln2^4*z2^2 + 
    9903600*ln2^2*z2^3 - 27862704*z2^4 - 129024000*li5half*z3 - 
    42336000*li4half*ln2*z3 - 688800*ln2^5*z3 - 168000*ln2^3*z2*z3 + 
    2570400*ln2*z2^2*z3 + 23625000*ln2^2*z3^2 + 13765500*z2*z3^2 + 
    108864000*ln2*z2*z5 + 200647125*z3*z5)/14112000, 
 H[0, 0, 1, -1, -1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    162288000*ln2^2*s6 + 4032000*ln2*s7a + 88704000*ln2*s7b - 333747225*s8a - 
    1626912000*s8b - 332640000*s8c - 90720000*s8d + 169344000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 352800*ln2^6*z2 + 467208000*s6*z2 - 
    18849600*li4half*z2^2 + 2742600*ln2^4*z2^2 - 78876000*ln2^2*z2^3 - 
    62044446*z2^4 + 297864000*li5half*z3 + 102312000*li4half*ln2*z3 + 
    1780800*ln2^5*z3 + 17766000*ln2^3*z2*z3 + 219397500*ln2*z2^2*z3 + 
    71883000*ln2^2*z3^2 + 268939125*z2*z3^2 - 82026000*ln2^3*z5 + 
    840546000*ln2*z2*z5 - 471271500*z3*z5 + 313488000*ln2*z7)/14112000, 
 H[0, 0, 1, -1, -1, 0, 0, 1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 2520000*ln2^2*s6 + 
    1245825*s8a - 8568000*s8b + 5040000*s8c - 5040000*s8d - 
    1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 + 15120000*s6*z2 - 
    3175200*li4half*z2^2 - 6300*ln2^4*z2^2 + 667800*ln2^2*z2^3 + 
    2668902*z2^4 + 6048000*li5half*z3 + 5040000*li4half*ln2*z3 + 
    159600*ln2^5*z3 - 756000*ln2^3*z2*z3 - 4076100*ln2*z2^2*z3 + 
    173250*ln2^2*z3^2 - 4788000*z2*z3^2 - 15120000*ln2*z2*z5 + 181125*z3*z5)/
   1008000, H[0, 0, 1, -1, -1, 0, 0, 0, 1] -> 
  (155925*s8a + 2688000*s8b + 1041600*li4half*z2^2 + 43400*ln2^4*z2^2 - 
    1016400*ln2^2*z2^3 - 216642*z2^4 + 550200*ln2*z2^2*z3 + 294000*z2*z3^2 - 
    2044875*z3*z5)/336000, H[0, 0, 1, -1, -1, 0, 0, -1, 1] -> 
  (72576000*ln2^2*s6 - 28896000*ln2*s7a + 27552000*ln2*s7b - 132332550*s8a - 
    690480000*s8b - 87360000*s8c - 81984000*s8d + 250992000*s6*z2 - 
    10752000*li4half*z2^2 - 448000*ln2^4*z2^2 - 31029600*ln2^2*z2^3 + 
    3550082*z2^4 + 133392000*li5half*z3 - 23520000*li4half*ln2*z3 - 
    2091600*ln2^5*z3 + 16996000*ln2^3*z2*z3 + 99628200*ln2*z2^2*z3 - 
    27951000*ln2^2*z3^2 + 102380250*z2*z3^2 - 54684000*ln2^3*z5 + 
    179382000*ln2*z2*z5 - 234063375*z3*z5 + 195336750*ln2*z7)/4704000, 
 H[0, 0, 1, -1, -1, 0, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    142128000*ln2^2*s6 + 255354225*s8a + 1118208000*s8b + 227808000*s8c + 
    54432000*s8d + 225792000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 146496000*s6*z2 - 
    6283200*li4half*z2^2 - 849800*ln2^4*z2^2 + 55650000*ln2^2*z2^3 - 
    4250564*z2^4 - 193536000*li5half*z3 + 2352000*li4half*ln2*z3 + 
    1710800*ln2^5*z3 - 29064000*ln2^3*z2*z3 - 221701200*ln2*z2^2*z3 - 
    21451500*ln2^2*z3^2 - 270154500*z2*z3^2 - 788161500*ln2*z2*z5 + 
    422346750*z3*z5)/9408000, H[0, 0, 1, -1, -1, 0, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    23184000*ln2^2*s6 - 28338975*s8a + 33264000*s8b - 46368000*s8c + 
    46368000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 
    113904000*s6*z2 + 61488000*li4half*z2^2 + 798000*ln2^4*z2^2 - 
    16480800*ln2^2*z2^3 - 27383301*z2^4 - 36288000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 873600*ln2^5*z3 + 4032000*ln2^3*z2*z3 + 
    62672400*ln2*z2^2*z3 + 18868500*ln2^2*z3^2 + 33894000*z2*z3^2 + 
    139104000*ln2*z2*z5 - 37626750*z3*z5)/7056000, 
 H[0, 0, 1, -1, -1, 0, -1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    104832000*ln2^2*s6 - 36288000*ln2*s7a - 205632000*ln2*s7b + 
    51965550*s8a + 44352000*s8b + 32256000*s8c - 32256000*s8d + 
    56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 68040000*s6*z2 + 
    122673600*li4half*z2^2 - 1944600*ln2^4*z2^2 - 91425600*ln2^2*z2^3 - 
    25235832*z2^4 - 175392000*li5half*z3 - 352800000*li4half*ln2*z3 - 
    13238400*ln2^5*z3 + 73584000*ln2^3*z2*z3 + 102727800*ln2*z2^2*z3 - 
    38430000*ln2^2*z3^2 - 57818250*z2*z3^2 + 164052000*ln2^3*z5 + 
    512568000*ln2*z2*z5 + 278247375*z3*z5 - 1117919250*ln2*z7)/28224000, 
 H[0, 0, 1, -1, -1, -1, 1, 1, 1] -> (36288000*li4half^2 - 145152000*li8half - 
    2688000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 53800*ln2^8 + 
    17136000*ln2^2*s6 - 54776925*s8a - 295848000*s8b - 34272000*s8c - 
    38304000*s8d - 24192000*li6half*z2 + 8064000*li5half*ln2*z2 - 
    56000*ln2^6*z2 + 88704000*s6*z2 - 22579200*li4half*z2^2 - 
    1453200*ln2^4*z2^2 - 1346400*ln2^2*z2^3 + 18158472*z2^4 + 
    6048000*li5half*z3 + 2016000*li4half*ln2*z3 + 151200*ln2^5*z3 + 
    6552000*ln2^3*z2*z3 + 18887400*ln2*z2^2*z3 + 10993500*ln2^2*z3^2 + 
    33988500*z2*z3^2 + 10416000*ln2^3*z5 + 71568000*ln2*z2*z5 + 
    19726875*z3*z5)/8064000, H[0, 0, 1, -1, -1, -1, 1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    3427200*ln2^2*s6 - 5296725*s8a - 37296000*s8b - 6854400*s8c - 
    201600*s8d - 1411200*li5half*ln2*z2 + 4939200*li4half*ln2^2*z2 + 
    217560*ln2^6*z2 + 3931200*s6*z2 + 5181120*li4half*z2^2 - 
    166320*ln2^4*z2^2 - 2236500*ln2^2*z2^3 - 2857023*z2^4 + 
    20160000*li5half*z3 + 2822400*li4half*ln2*z3 - 50400*ln2^5*z3 + 
    1180200*ln2^3*z2*z3 + 11776590*ln2*z2^2*z3 + 2970450*ln2^2*z3^2 + 
    5372325*z2*z3^2 + 26031600*ln2*z2*z5 - 19578825*z3*z5)/1411200, 
 H[0, 0, 1, -1, -1, -1, 1, -1, 1] -> 
  (-56448000*li4half^2 + 188160000*li8half - 37632000*li7half*ln2 + 
    6272000*li5half*ln2^3 - 3136000*li4half*ln2^4 - 72800*ln2^8 - 
    33936000*ln2^2*s6 + 28896000*ln2*s7a + 52416000*ln2*s7b + 94163475*s8a + 
    507192000*s8b + 10080000*s8c + 88704000*s8d - 56448000*li6half*z2 - 
    131712000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 1489600*ln2^6*z2 - 
    250320000*s6*z2 + 25267200*li4half*z2^2 + 7834400*ln2^4*z2^2 + 
    11676000*ln2^2*z2^3 - 31885344*z2^4 - 45696000*li5half*z3 + 
    110544000*li4half*ln2*z3 + 4712400*ln2^5*z3 - 54376000*ln2^3*z2*z3 - 
    96957000*ln2*z2^2*z3 + 63514500*ln2^2*z3^2 - 51660000*z2*z3^2 - 
    47089000*ln2^3*z5 + 25557000*ln2*z2*z5 + 135667875*z3*z5 + 
    113951250*ln2*z7)/18816000, H[0, 0, 1, -1, -1, -1, 0, 1, 1] -> 
  (20664000*ln2^2*s6 - 72546075*s8a - 384048000*s8b - 41328000*s8c - 
    29232000*s8d - 56448000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 431200*ln2^6*z2 + 79632000*s6*z2 + 
    1915200*li4half*z2^2 + 2431800*ln2^4*z2^2 - 10080000*ln2^2*z2^3 + 
    5216598*z2^4 + 47880000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    693000*ln2^5*z3 + 9870000*ln2^3*z2*z3 + 61771500*ln2*z2^2*z3 - 
    12710250*ln2^2*z3^2 + 87444000*z2*z3^2 + 233352000*ln2*z2*z5 - 
    168123375*z3*z5)/14112000, H[0, 0, 1, -1, -1, -1, 0, 0, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 - 3830400*ln2^2*s6 + 
    8849925*s8a + 41227200*s8b + 7660800*s8c + 806400*s8d - 
    1411200*li4half*ln2^2*z2 - 58800*ln2^6*z2 - 5846400*s6*z2 + 
    796320*li4half*z2^2 + 209580*ln2^4*z2^2 + 743400*ln2^2*z2^3 + 
    14382*z2^4 - 907200*li5half*z3 + 2822400*li4half*ln2*z3 + 
    125160*ln2^5*z3 - 781200*ln2^3*z2*z3 - 8069040*ln2*z2^2*z3 - 
    2312100*ln2^2*z3^2 - 7112700*z2*z3^2 - 22982400*ln2*z2*z5 + 
    10632825*z3*z5)/1411200, H[0, 0, 1, -1, -1, -1, 0, -1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    243936000*ln2^2*s6 - 143136000*ln2*s7a + 26208000*ln2*s7b - 
    384887475*s8a - 2154096000*s8b - 201600000*s8c - 278208000*s8d + 
    56448000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1489600*ln2^6*z2 + 764568000*s6*z2 + 
    806400*li4half*z2^2 - 5258400*ln2^4*z2^2 - 112593600*ln2^2*z2^3 - 
    8825076*z2^4 + 725760000*li5half*z3 - 84672000*li4half*ln2*z3 - 
    9576000*ln2^5*z3 + 85764000*ln2^3*z2*z3 + 436514400*ln2*z2^2*z3 - 
    199962000*ln2^2*z3^2 + 309188250*z2*z3^2 - 164052000*ln2^3*z5 + 
    631890000*ln2*z2*z5 - 1006558875*z3*z5 + 521238375*ln2*z7)/28224000, 
 H[0, 0, 1, -1, -1, -1, -1, 1, 1] -> 
  (4032000*li4half^2 - 16128000*li8half + 1344000*li6half*ln2^2 + 
    448000*li5half*ln2^3 + 448000*li4half*ln2^4 + 9400*ln2^8 - 
    2016000*ln2^2*s6 + 776475*s8a - 12264000*s8b + 3360000*s8c - 
    3360000*s8d + 1344000*li6half*z2 + 6048000*li5half*ln2*z2 + 
    1008000*li4half*ln2^2*z2 - 14000*ln2^6*z2 + 6384000*s6*z2 - 
    2654400*li4half*z2^2 - 16800*ln2^4*z2^2 + 2744400*ln2^2*z2^3 + 
    2232456*z2^4 - 168000*li5half*z3 - 18200*ln2^5*z3 + 532000*ln2^3*z2*z3 - 
    1268400*ln2*z2^2*z3 - 2367750*ln2^2*z3^2 - 152250*z2*z3^2 - 
    1736000*ln2^3*z5 - 10143000*ln2*z2*z5 + 1840125*z3*z5)/1344000, 
 H[0, 0, 1, -1, -1, -1, -1, 0, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 + 806400*ln2^2*s6 + 
    5351850*s8a + 57052800*s8b - 1612800*s8c + 11491200*s8d + 
    2822400*li6half*z2 + 2822400*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 
    98000*ln2^6*z2 - 28627200*s6*z2 + 6461280*li4half*z2^2 - 
    348180*ln2^4*z2^2 - 100800*ln2^2*z2^3 - 4200804*z2^4 - 
    13809600*li5half*z3 - 5644800*li4half*ln2*z3 - 120120*ln2^5*z3 - 
    151200*ln2^3*z2*z3 - 3648960*ln2*z2^2*z3 + 2696400*ln2^2*z3^2 - 
    5548725*z2*z3^2 - 6098400*ln2*z2*z5 + 23514750*z3*z5)/2822400, 
 H[0, 0, 1, -1, -1, -1, -1, -1, 1] -> 
  (-2016000*li4half^2 - 1612800*li7half*ln2 - 806400*li6half*ln2^2 - 
    268800*li5half*ln2^3 - 235200*li4half*ln2^4 - 4860*ln2^8 + 
    1814400*ln2^2*s6 - 1612800*ln2*s7a - 2016000*ln2*s7b - 633150*s8a - 
    7660800*s8b - 1209600*s8d + 1209600*li6half*z2 + 
    1008000*li4half*ln2^2*z2 + 48160*ln2^6*z2 + 2822400*s6*z2 + 
    1330560*li4half*z2^2 - 136920*ln2^4*z2^2 - 1548000*ln2^2*z2^3 - 
    841176*z2^4 + 2721600*li5half*z3 - 3528000*li4half*ln2*z3 - 
    157920*ln2^5*z3 + 1108800*ln2^3*z2*z3 + 2923200*ln2*z2^2*z3 - 
    1496250*ln2^2*z3^2 + 201600*z2*z3^2 + 1432200*ln2^3*z5 + 
    5934600*ln2*z2*z5 - 592200*z3*z5 - 2256975*ln2*z7)/806400, 
 H[0, 0, 0, 1, 1, 1, 1, 1, 1] -> (122*z2^4 + 175*z2*z3^2 - 1050*z3*z5)/350, 
 H[0, 0, 0, 1, 1, 1, 1, 0, 1] -> (2100*s8a - 4589*z2^4 - 7000*z2*z3^2 + 
    38500*z3*z5)/7000, H[0, 0, 0, 1, 1, 1, 1, -1, 1] -> 
  (13104000*ln2^2*s6 - 8467200*ln2*s7a - 16000425*s8a - 115416000*s8b - 
    9273600*s8c - 16128000*s8d - 5644800*li6half*z2 - 7840*ln2^6*z2 + 
    46368000*s6*z2 - 5483520*li4half*z2^2 + 65520*ln2^4*z2^2 - 
    2520000*ln2^2*z2^3 + 746064*z2^4 + 36489600*li5half*z3 - 
    304080*ln2^5*z3 + 1629600*ln2^3*z2*z3 + 19008360*ln2*z2^2*z3 - 
    9279900*ln2^2*z3^2 + 6999300*z2*z3^2 - 8202600*ln2^3*z5 + 
    10621800*ln2*z2*z5 - 20435625*z3*z5 + 30671550*ln2*z7)/5644800, 
 H[0, 0, 0, 1, 1, 1, 0, 1, 1] -> (-3600*s8a + 1559*z2^4 + 1500*z2*z3^2 - 
    9000*z3*z5)/3000, H[0, 0, 0, 1, 1, 1, 0, 0, 1] -> 
  (-525*s8a + 638*z2^4 - 350*z2*z3^2 - 2625*z3*z5)/350, 
 H[0, 0, 0, 1, 1, 1, 0, -1, 1] -> 
  (-49350*s8a + 907200*s8b + 100800*li4half*z2^2 + 4200*ln2^4*z2^2 - 
    25200*ln2^2*z2^3 + 204136*z2^4 + 88200*ln2*z2^2*z3 + 93450*z2*z3^2 - 
    1283100*z3*z5 - 1800225*ln2*z7)/134400, H[0, 0, 0, 1, 1, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    48384000*ln2^2*s6 + 87001425*s8a + 856296000*s8b + 54432000*s8c + 
    143136000*s8d - 112896000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1136800*ln2^6*z2 - 413280000*s6*z2 + 
    79430400*li4half*z2^2 - 6686400*ln2^4*z2^2 + 12751200*ln2^2*z2^3 - 
    1079712*z2^4 - 138096000*li5half*z3 + 1150800*ln2^5*z3 + 
    9660000*ln2^3*z2*z3 - 105373800*ln2*z2^2*z3 + 18805500*ln2^2*z3^2 - 
    44572500*z2*z3^2 - 119637000*ln2*z2*z5 + 97500375*z3*z5)/28224000, 
 H[0, 0, 0, 1, 1, 1, -1, 0, 1] -> (13440*ln2^2*s6 - 244125*s8a - 
    1824480*s8b - 26880*s8c - 349440*s8d + 816480*s6*z2 - 
    84000*li4half*z2^2 - 3500*ln2^4*z2^2 - 46368*ln2^2*z2^3 + 118932*z2^4 + 
    416640*li5half*z3 - 3472*ln2^5*z3 + 34720*ln2^3*z2*z3 + 
    366072*ln2*z2^2*z3 + 3780*ln2^2*z3^2 + 46620*z2*z3^2 + 80640*ln2*z2*z5 - 
    680085*z3*z5)/94080, H[0, 0, 0, 1, 1, 1, -1, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    2448000*ln2^2*s6 + 3456000*ln2*s7a - 6624000*ln2*s7b + 3808350*s8a + 
    36288000*s8b + 4032000*s8c + 2016000*s8d - 12096000*li6half*z2 + 
    2016000*li4half*ln2^2*z2 + 67200*ln2^6*z2 - 13104000*s6*z2 + 
    4838400*li4half*z2^2 + 579600*ln2^4*z2^2 + 1216800*ln2^2*z2^3 + 
    4714416*z2^4 - 6048000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    243600*ln2^5*z3 - 756000*ln2^3*z2*z3 + 4827600*ln2*z2^2*z3 - 
    27000*ln2^2*z3^2 - 63000*z2*z3^2 + 9765000*ln2^3*z5 + 7677000*ln2*z2*z5 - 
    13167000*z3*z5 - 71629875*ln2*z7)/4032000, 
 H[0, 0, 0, 1, 1, 0, 1, 1, 1] -> (6300*s8a - 2783*z2^4 - 6300*z2*z3^2 + 
    23100*z3*z5)/4200, H[0, 0, 0, 1, 1, 0, 1, 0, 1] -> 
  (1925*s8a - 1742*z2^4 + 1750*z2*z3^2 + 5250*z3*z5)/875, 
 H[0, 0, 0, 1, 1, 0, 1, -1, 1] -> (5376000*ln2*s7a + 5376000*ln2*s7b - 
    2316825*s8a - 672000*s8b - 10752000*s8c + 10752000*s8d - 23856000*s6*z2 - 
    907200*li4half*z2^2 - 37800*ln2^4*z2^2 + 1436400*ln2^2*z2^3 - 
    8012212*z2^4 - 21504000*li5half*z3 + 179200*ln2^5*z3 - 
    1792000*ln2^3*z2*z3 - 16170000*ln2*z2^2*z3 + 8232000*ln2^2*z3^2 + 
    9754500*z2*z3^2 + 34104000*ln2*z2*z5 + 34755000*z3*z5 + 52174500*ln2*z7)/
   4704000, H[0, 0, 0, 1, 1, 0, 0, 1, 1] -> 
  (-1050*s8a + 428*z2^4 + 525*z2*z3^2 - 2625*z3*z5)/1050, 
 H[0, 0, 0, 1, 1, 0, 0, 0, 1] -> (-2*z2^4)/25, 
 H[0, 0, 0, 1, 1, 0, 0, -1, 1] -> 
  (-217350*s8a - 840000*s8b + 504000*li4half*z2^2 + 21000*ln2^4*z2^2 - 
    126000*ln2^2*z2^3 - 171676*z2^4 + 441000*ln2*z2^2*z3 - 36750*z2*z3^2 - 
    157500*z3*z5 + 1666875*ln2*z7)/336000, H[0, 0, 0, 1, 1, 0, -1, 1, 1] -> 
  (-2688000*ln2^2*s6 + 4912425*s8a - 6720000*s8b + 5376000*s8c - 
    5376000*s8d + 6048000*s6*z2 - 8601600*li4half*z2^2 - 358400*ln2^4*z2^2 + 
    2016000*ln2^2*z2^3 + 2403428*z2^4 + 10752000*li5half*z3 - 
    89600*ln2^5*z3 + 896000*ln2^3*z2*z3 + 4254600*ln2*z2^2*z3 - 
    4872000*ln2^2*z3^2 - 6457500*z2*z3^2 - 20097000*ln2*z2*z5 + 
    7410375*z3*z5)/4704000, H[0, 0, 0, 1, 1, 0, -1, 0, 1] -> 
  (1260*s8a - 1399*z2^4 + 1400*z2*z3^2 + 4410*z3*z5)/2240, 
 H[0, 0, 0, 1, 1, 0, -1, -1, 1] -> (2688000*ln2^2*s6 - 5376000*ln2*s7a - 
    5376000*ln2*s7b + 2531025*s8a - 16128000*s8b + 5376000*s8c - 
    5376000*s8d + 10752000*s6*z2 - 1075200*li4half*z2^2 - 44800*ln2^4*z2^2 - 
    806400*ln2^2*z2^3 - 627236*z2^4 + 10752000*li5half*z3 - 89600*ln2^5*z3 + 
    896000*ln2^3*z2*z3 + 2654400*ln2*z2^2*z3 - 3360000*ln2^2*z3^2 - 
    4914000*z2*z3^2 - 336000*ln2*z2*z5 + 6454875*z3*z5 - 5502000*ln2*z7)/
   4704000, H[0, 0, 0, 1, 1, -1, 1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    13776000*ln2^2*s6 - 43972425*s8a - 403032000*s8b - 27552000*s8c - 
    57120000*s8d + 180096000*s6*z2 - 24595200*li4half*z2^2 + 
    2503200*ln2^4*z2^2 - 6014400*ln2^2*z2^3 + 7499232*z2^4 + 
    95424000*li5half*z3 - 795200*ln2^5*z3 + 896000*ln2^3*z2*z3 + 
    43768200*ln2*z2^2*z3 + 3874500*ln2^2*z3^2 + 18606000*z2*z3^2 + 
    4557000*ln2^3*z5 + 68985000*ln2*z2*z5 - 45105375*z3*z5)/9408000, 
 H[0, 0, 0, 1, 1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    40320000*ln2^2*s6 + 147730275*s8a + 738864000*s8b + 80640000*s8c + 
    88704000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    262080000*s6*z2 + 42436800*li4half*z2^2 + 5296200*ln2^4*z2^2 + 
    11566800*ln2^2*z2^3 - 39769416*z2^4 - 233856000*li5half*z3 + 
    1948800*ln2^5*z3 - 19488000*ln2^3*z2*z3 - 109405800*ln2*z2^2*z3 - 
    11340000*ln2^2*z3^2 - 79884000*z2*z3^2 - 221413500*ln2*z2*z5 + 
    359328375*z3*z5)/14112000, H[0, 0, 0, 1, 1, -1, 1, -1, 1] -> 
  (85680000*ln2^2*s6 - 108864000*ln2*s7a - 38304000*ln2*s7b + 58922325*s8a + 
    185472000*s8b + 46368000*s8c - 4032000*s8d + 28224000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 2861600*ln2^6*z2 - 
    9576000*s6*z2 + 2721600*li4half*z2^2 - 20760600*ln2^4*z2^2 - 
    7912800*ln2^2*z2^3 - 14847048*z2^4 - 69552000*li5half*z3 - 
    197568000*li4half*ln2*z3 - 7652400*ln2^5*z3 + 71820000*ln2^3*z2*z3 - 
    13734000*ln2*z2^2*z3 - 142600500*ln2^2*z3^2 - 48888000*z2*z3^2 - 
    82026000*ln2^3*z5 - 87664500*ln2*z2*z5 + 205151625*z3*z5 - 
    180321750*ln2*z7)/28224000, H[0, 0, 0, 1, 1, -1, 0, 1, 1] -> 
  (2688000*ln2^2*s6 - 7698075*s8a + 39648000*s8b - 5376000*s8c + 
    5376000*s8d - 29568000*s6*z2 + 11659200*li4half*z2^2 + 
    485800*ln2^4*z2^2 - 4040400*ln2^2*z2^3 - 560272*z2^4 + 
    8064000*li5half*z3 - 67200*ln2^5*z3 + 672000*ln2^3*z2*z3 + 
    4183200*ln2*z2^2*z3 + 756000*ln2^2*z3^2 + 18952500*z2*z3^2 + 
    29799000*ln2*z2*z5 - 67625250*z3*z5)/4704000, 
 H[0, 0, 0, 1, 1, -1, 0, 0, 1] -> 
  (-326025*s8a - 2352000*s8b - 974400*li4half*z2^2 - 40600*ln2^4*z2^2 + 
    999600*ln2^2*z2^3 + 358776*z2^4 - 756000*ln2*z2^2*z3 - 252000*z2*z3^2 + 
    1307250*z3*z5)/336000, H[0, 0, 0, 1, 1, -1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    25632000*ln2^2*s6 + 15552000*ln2*s7a - 576000*ln2*s7b + 32304825*s8a + 
    187488000*s8b + 20160000*s8c + 28224000*s8d - 4032000*li4half*ln2^2*z2 - 
    168000*ln2^6*z2 - 80640000*s6*z2 + 3729600*li4half*z2^2 + 
    659400*ln2^4*z2^2 + 10314000*ln2^2*z2^3 - 3598548*z2^4 - 
    62496000*li5half*z3 + 14112000*li4half*ln2*z3 + 1108800*ln2^5*z3 - 
    8736000*ln2^3*z2*z3 - 36361800*ln2*z2^2*z3 + 16605000*ln2^2*z3^2 - 
    23436000*z2*z3^2 + 15624000*ln2^3*z5 - 55354500*ln2*z2*z5 + 
    80616375*z3*z5 + 9663750*ln2*z7)/2016000, 
 H[0, 0, 0, 1, 1, -1, -1, 1, 1] -> (2268000*ln2^2*s6 - 2994075*s8a - 
    11088000*s8b - 2016000*s8c - 2016000*s8d - 8064000*li6half*z2 - 
    6048000*li5half*ln2*z2 - 1512000*li4half*ln2^2*z2 - 23800*ln2^6*z2 - 
    756000*s6*z2 + 100800*li4half*z2^2 - 16800*ln2^4*z2^2 - 
    1443600*ln2^2*z2^3 + 1373688*z2^4 + 6552000*li5half*z3 - 54600*ln2^5*z3 + 
    546000*ln2^3*z2*z3 + 3351600*ln2*z2^2*z3 - 795375*ln2^2*z3^2 + 
    5355000*z2*z3^2 - 488250*ln2^3*z5 + 13277250*ln2*z2*z5 - 14104125*z3*z5)/
   1008000, H[0, 0, 0, 1, 1, -1, -1, 0, 1] -> 
  (4032000*ln2^2*s6 - 22901025*s8a - 175728000*s8b - 8064000*s8c - 
    29568000*s8d + 83832000*s6*z2 - 18379200*li4half*z2^2 - 
    765800*ln2^4*z2^2 - 621600*ln2^2*z2^3 + 8198496*z2^4 + 
    30912000*li5half*z3 - 257600*ln2^5*z3 + 2576000*ln2^3*z2*z3 + 
    13389600*ln2*z2^2*z3 + 1134000*ln2^2*z3^2 + 8951250*z2*z3^2 + 
    17356500*ln2*z2*z5 - 22002750*z3*z5)/4704000, 
 H[0, 0, 0, 1, 1, -1, -1, -1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 3864000*ln2^2*s6 + 
    1680000*ln2*s7a + 672000*ln2*s7b + 3628800*s8a + 17136000*s8b + 
    2688000*s8c + 2352000*s8d - 2016000*li6half*z2 - 
    1008000*li4half*ln2^2*z2 - 44800*ln2^6*z2 - 7728000*s6*z2 - 
    806400*li4half*z2^2 + 197400*ln2^4*z2^2 + 1995600*ln2^2*z2^3 + 
    74808*z2^4 - 6888000*li5half*z3 + 3528000*li4half*ln2*z3 + 
    204400*ln2^5*z3 - 1624000*ln2^3*z2*z3 - 5157600*ln2*z2^2*z3 + 
    2441250*ln2^2*z3^2 - 2772000*z2*z3^2 + 1302000*ln2^3*z5 - 
    10006500*ln2*z2*z5 + 10901625*z3*z5 + 7037625*ln2*z7)/672000, 
 H[0, 0, 0, 1, 0, 1, 1, 1, 1] -> (-12600*s8a - 13171*z2^4 - 42000*z2*z3^2 + 
    168000*z3*z5)/21000, H[0, 0, 0, 1, 0, 1, 1, 0, 1] -> 
  (-350*s8a + 1984*z2^4 - 11375*z3*z5)/875, H[0, 0, 0, 1, 0, 1, 1, -1, 1] -> 
  (-28896000*ln2^2*s6 + 13440000*ln2*s7a - 5376000*ln2*s7b + 46194225*s8a + 
    248304000*s8b + 30912000*s8c + 25536000*s8d - 87528000*s6*z2 + 
    11928000*li4half*z2^2 + 497000*ln2^4*z2^2 + 8349600*ln2^2*z2^3 + 
    1820276*z2^4 - 65184000*li5half*z3 + 543200*ln2^5*z3 - 
    5432000*ln2^3*z2*z3 - 33091800*ln2*z2^2*z3 + 12453000*ln2^2*z3^2 - 
    28586250*z2*z3^2 + 18228000*ln2^3*z5 - 37548000*ln2*z2*z5 + 
    54374250*z3*z5 - 119555625*ln2*z7)/4704000, 
 H[0, 0, 0, 1, 0, 1, 0, 1, 1] -> (-4725*s8a + 3034*z2^4 + 7875*z2*z3^2 - 
    28875*z3*z5)/2625, H[0, 0, 0, 1, 0, 1, 0, 0, 1] -> 
  (-2*(-350*s8a + 339*z2^4 - 1750*z3*z5))/175, 
 H[0, 0, 0, 1, 0, 1, 0, -1, 1] -> 
  (10500*s8a - 436800*s8b - 100800*li4half*z2^2 - 4200*ln2^4*z2^2 + 
    25200*ln2^2*z2^3 - 78767*z2^4 - 88200*ln2*z2^2*z3 - 30450*z2*z3^2 + 
    606900*z3*z5 + 866775*ln2*z7)/33600, H[0, 0, 0, 1, 0, 1, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    68544000*ln2^2*s6 - 136374525*s8a - 640080000*s8b - 80640000*s8c - 
    88704000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    219744000*s6*z2 - 51609600*li4half*z2^2 + 1377600*ln2^4*z2^2 - 
    29484000*ln2^2*z2^3 + 23913996*z2^4 + 64512000*li5half*z3 - 
    537600*ln2^5*z3 + 5376000*ln2^3*z2*z3 + 94323600*ln2*z2^2*z3 - 
    11592000*ln2^2*z3^2 + 135009000*z2*z3^2 + 269041500*ln2*z2*z5 - 
    298856250*z3*z5)/14112000, H[0, 0, 0, 1, 0, 1, -1, 0, 1] -> 
  (397425*s8a + 336000*s6*z2 - 436800*li4half*z2^2 - 18200*ln2^4*z2^2 + 
    109200*ln2^2*z2^3 - 150147*z2^4 - 756000*ln2*z2^2*z3 - 273000*z2*z3^2 + 
    2310000*z3*z5)/168000, H[0, 0, 0, 1, 0, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 20160000*ln2*s7a + 76608000*ln2*s7b + 2644425*s8a - 
    115920000*s8b - 20160000*s8c + 20160000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 29736000*s6*z2 - 69350400*li4half*z2^2 + 
    638400*ln2^4*z2^2 + 36514800*ln2^2*z2^3 - 25975752*z2^4 - 
    82656000*li5half*z3 + 98784000*li4half*ln2*z3 + 4804800*ln2^5*z3 - 
    31584000*ln2^3*z2*z3 - 120292200*ln2*z2^2*z3 + 50967000*ln2^2*z3^2 - 
    8583750*z2*z3^2 - 54684000*ln2^3*z5 - 166320000*ln2*z2*z5 + 
    294430500*z3*z5 + 679596750*ln2*z7)/14112000, 
 H[0, 0, 0, 1, 0, 0, 1, 1, 1] -> (875*s8a - 62*z2^4 + 175*z2*z3^2 - 
    700*z3*z5)/350, H[0, 0, 0, 1, 0, 0, 1, 0, 1] -> 
  (2*(-70*s8a + 9*z2^4))/35, H[0, 0, 0, 1, 0, 0, 1, -1, 1] -> 
  (-241325*s8a - 280000*s8b + 336000*s6*z2 + 76918*z2^4 + 63000*ln2*z2^2*z3 - 
    110250*z2*z3^2 - 1680000*ln2*z2*z5 + 42000*z3*z5 + 2111375*ln2*z7)/
   112000, H[0, 0, 0, 1, 0, 0, 0, 1, 1] -> (2*z2^4)/175, 
 H[0, 0, 0, 1, 0, 0, 0, 0, 1] -> (24*z2^4)/5, 
 H[0, 0, 0, 1, 0, 0, 0, -1, 1] -> (53550*s8a + 560000*s8b + 94063*z2^4 - 
    420000*z3*z5 - 1111250*ln2*z7)/28000, H[0, 0, 0, 1, 0, 0, -1, 1, 1] -> 
  (-33075*s8a - 784000*s8b + 672000*s6*z2 - 22892*z2^4 - 63000*ln2*z2^2*z3 - 
    283500*z2*z3^2 - 273000*ln2*z2*z5 + 826875*z3*z5)/112000, 
 H[0, 0, 0, 1, 0, 0, -1, 0, 1] -> (-3*(6300*s8a - 9637*z2^4 + 54250*z3*z5))/
   28000, H[0, 0, 0, 1, 0, 0, -1, -1, 1] -> 
  (33075*s8a + 1176000*s8b + 168000*li4half*z2^2 + 7000*ln2^4*z2^2 - 
    42000*ln2^2*z2^3 + 203432*z2^4 + 147000*ln2*z2^2*z3 + 57750*z2*z3^2 - 
    1350125*z3*z5 - 2333625*ln2*z7)/112000, H[0, 0, 0, 1, 0, -1, 1, 1, 1] -> 
  (-336000*ln2^2*s6 + 6683775*s8a + 45612000*s8b + 672000*s8c + 8736000*s8d - 
    28056000*s6*z2 + 8332800*li4half*z2^2 + 347200*ln2^4*z2^2 + 
    659400*ln2^2*z2^3 - 3850736*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 
    672000*ln2^3*z2*z3 - 1096200*ln2*z2^2*z3 - 94500*ln2^2*z3^2 + 
    1554000*z2*z3^2 - 3038000*ln2^3*z5 + 7098000*ln2*z2*z5 - 3467625*z3*z5)/
   2352000, H[0, 0, 0, 1, 0, -1, 1, 0, 1] -> 
  (-387975*s8a - 1075200*li4half*z2^2 - 44800*ln2^4*z2^2 + 
    268800*ln2^2*z2^3 + 536589*z2^4 - 567000*ln2*z2^2*z3 - 651000*ln2*z2*z5 - 
    417375*z3*z5)/168000, H[0, 0, 0, 1, 0, -1, 1, -1, 1] -> 
  (10080000*ln2^2*s6 + 2688000*ln2*s7a + 12096000*ln2*s7b - 33024075*s8a - 
    149184000*s8b - 25536000*s8c - 12096000*s8d + 44184000*s6*z2 - 
    3595200*li4half*z2^2 - 149800*ln2^4*z2^2 - 5628000*ln2^2*z2^3 + 
    482933*z2^4 + 38304000*li5half*z3 + 16464000*li4half*ln2*z3 + 
    366800*ln2^5*z3 - 924000*ln2^3*z2*z3 + 20714400*ln2*z2^2*z3 + 
    6951000*ln2^2*z3^2 + 25877250*z2*z3^2 - 6076000*ln2^3*z5 + 
    29352750*ln2*z2*z5 - 67562250*z3*z5 + 84574875*ln2*z7)/2352000, 
 H[0, 0, 0, 1, 0, -1, 0, 1, 1] -> (-18900*s8a + 672000*s6*z2 + 58151*z2^4 - 
    535500*z2*z3^2 - 1302000*ln2*z2*z5 + 1055250*z3*z5)/168000, 
 H[0, 0, 0, 1, 0, -1, 0, 0, 1] -> (3*(6300*s8a + 3873*z2^4 - 22750*z3*z5))/
   28000, H[0, 0, 0, 1, 0, -1, 0, -1, 1] -> 
  (99225*s8a + 1176000*s8b + 336000*s6*z2 - 504000*li4half*z2^2 - 
    21000*ln2^4*z2^2 + 126000*ln2^2*z2^3 + 332506*z2^4 - 441000*ln2*z2^2*z3 - 
    157500*z2*z3^2 - 651000*ln2*z2*z5 - 28875*z3*z5 - 2333625*ln2*z7)/168000, 
 H[0, 0, 0, 1, 0, -1, -1, 1, 1] -> (-2688000*ln2^2*s6 + 3773175*s8a + 
    28560000*s8b + 1612800*s8c + 5913600*s8d - 11356800*s6*z2 + 
    1935360*li4half*z2^2 + 80640*ln2^4*z2^2 + 1332240*ln2^2*z2^3 - 
    1150948*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 - 
    3565800*ln2*z2^2*z3 + 1096200*ln2^2*z3^2 - 5252100*z2*z3^2 + 
    1215200*ln2^3*z5 - 10747800*ln2*z2*z5 + 16090725*z3*z5)/940800, 
 H[0, 0, 0, 1, 0, -1, -1, 0, 1] -> (12600*s8a - 56000*s6*z2 + 4111*z2^4 + 
    39375*z2*z3^2 + 108500*ln2*z2*z5 - 140000*z3*z5)/28000, 
 H[0, 0, 0, 1, 0, -1, -1, -1, 1] -> (-6048000*ln2^2*s6 + 12096000*ln2*s7a - 
    6720000*ln2*s7b + 13840575*s8a + 104496000*s8b + 6720000*s8c + 
    12096000*s8d - 33600000*s6*z2 - 1108800*li4half*z2^2 - 46200*ln2^4*z2^2 + 
    2696400*ln2^2*z2^3 + 4104692*z2^4 - 24192000*li5half*z3 + 
    201600*ln2^5*z3 - 2016000*ln2^3*z2*z3 - 13881000*ln2*z2^2*z3 + 
    7560000*ln2^2*z3^2 - 7281750*z2*z3^2 + 12152000*ln2^3*z5 + 
    168000*ln2*z2*z5 + 11095875*z3*z5 - 85926750*ln2*z7)/4704000, 
 H[0, 0, 0, 1, -1, 1, 1, 1, 1] -> (-37296000*ln2^2*s6 + 139691475*s8a + 
    1155672000*s8b + 74592000*s8c + 137088000*s8d + 112896000*li6half*z2 + 
    156800*ln2^6*z2 - 443520000*s6*z2 + 81043200*li4half*z2^2 - 
    2503200*ln2^4*z2^2 - 6804000*ln2^2*z2^3 - 49451184*z2^4 - 
    48384000*li5half*z3 + 403200*ln2^5*z3 - 9324000*ln2^3*z2*z3 - 
    79342200*ln2*z2^2*z3 - 10489500*ln2^2*z3^2 - 124960500*z2*z3^2 - 
    223776000*ln2*z2*z5 + 148372875*z3*z5)/28224000, 
 H[0, 0, 0, 1, -1, 1, 1, 0, 1] -> (15456000*ln2^2*s6 - 48406575*s8a - 
    269472000*s8b - 30912000*s8c - 25536000*s8d + 79296000*s6*z2 - 
    23923200*li4half*z2^2 - 996800*ln2^4*z2^2 + 831600*ln2^2*z2^3 + 
    12234828*z2^4 + 32256000*li5half*z3 - 268800*ln2^5*z3 + 
    2688000*ln2^3*z2*z3 + 35254800*ln2*z2^2*z3 + 4347000*ln2^2*z3^2 + 
    34135500*z2*z3^2 + 92736000*ln2*z2*z5 - 90811875*z3*z5)/4704000, 
 H[0, 0, 0, 1, -1, 1, 1, -1, 1] -> (-1344000*ln2^2*s6 + 3360000*ln2*s7a + 
    1344000*ln2*s7b - 3467100*s8a - 12768000*s8b - 4032000*s8c + 
    4032000*li6half*z2 + 4032000*li5half*ln2*z2 - 28000*ln2^6*z2 + 
    3192000*s6*z2 - 504000*li4half*z2^2 + 357000*ln2^4*z2^2 + 
    714000*ln2^2*z2^3 + 208644*z2^4 + 2352000*li5half*z3 + 
    7056000*li4half*ln2*z3 + 274400*ln2^5*z3 - 1568000*ln2^3*z2*z3 + 
    2839200*ln2*z2^2*z3 + 4767000*ln2^2*z3^2 + 3769500*z2*z3^2 + 
    1953000*ln2^3*z5 + 13219500*ln2*z2*z5 - 13965000*z3*z5 - 17595375*ln2*z7)/
   1344000, H[0, 0, 0, 1, -1, 1, 0, 1, 1] -> 
  (-5376000*ln2^2*s6 - 1968225*s8a - 69888000*s8b + 10752000*s8c - 
    10752000*s8d + 56784000*s6*z2 - 9676800*li4half*z2^2 - 
    403200*ln2^4*z2^2 + 4670400*ln2^2*z2^3 + 6965264*z2^4 - 
    16128000*li5half*z3 + 134400*ln2^5*z3 - 1344000*ln2^3*z2*z3 - 
    14099400*ln2*z2^2*z3 - 1512000*ln2^2*z3^2 - 8872500*z2*z3^2 - 
    32256000*ln2*z2*z5 + 30310875*z3*z5)/4704000, 
 H[0, 0, 0, 1, -1, 1, 0, 0, 1] -> (16835*s8a + 78400*s8b - 20160*ln2^2*z2^3 - 
    5458*z2^4 - 10080*ln2*z2^2*z3 - 1260*z2*z3^2 + 10675*z3*z5)/4480, 
 H[0, 0, 0, 1, -1, 1, 0, -1, 1] -> (50400000*ln2^2*s6 - 12096000*ln2*s7a + 
    25536000*ln2*s7b - 90788775*s8a - 449904000*s8b - 76608000*s8c - 
    36288000*s8d + 126084000*s6*z2 - 11020800*li4half*z2^2 - 
    459200*ln2^4*z2^2 - 18513600*ln2^2*z2^3 - 7833859*z2^4 + 
    86688000*li5half*z3 - 722400*ln2^5*z3 + 7224000*ln2^3*z2*z3 + 
    60383400*ln2*z2^2*z3 - 4347000*ln2^2*z3^2 + 76400625*z2*z3^2 - 
    36456000*ln2^3*z5 + 153636000*ln2*z2*z5 - 127918875*z3*z5 + 
    186566625*ln2*z7)/2352000, H[0, 0, 0, 1, -1, 1, -1, 1, 1] -> 
  (672000*ln2^2*s6 - 34061475*s8a - 160608000*s8b - 24864000*s8c + 
    1344000*s8d + 20832000*s6*z2 + 268800*li4half*z2^2 + 2363200*ln2^4*z2^2 + 
    571200*ln2^2*z2^3 - 5612556*z2^4 - 2688000*li5half*z3 + 22400*ln2^5*z3 + 
    6832000*ln2^3*z2*z3 + 29916600*ln2*z2^2*z3 - 840000*ln2^2*z3^2 + 
    33495000*z2*z3^2 + 101052000*ln2*z2*z5 - 37146375*z3*z5)/9408000, 
 H[0, 0, 0, 1, -1, 1, -1, 0, 1] -> (-170240*ln2^2*s6 + 488390*s8a + 
    2318400*s8b + 340480*s8c + 161280*s8d - 612640*s6*z2 + 
    32256*li4half*z2^2 + 1344*ln2^4*z2^2 + 45584*ln2^2*z2^3 + 775*z2^4 - 
    322560*li5half*z3 + 2688*ln2^5*z3 - 26880*ln2^3*z2*z3 - 
    443688*ln2*z2^2*z3 - 47880*ln2^2*z3^2 - 369775*z2*z3^2 - 
    1021440*ln2*z2*z5 + 758730*z3*z5)/31360, 
 H[0, 0, 0, 1, -1, 1, -1, -1, 1] -> (59976000*ln2^2*s6 + 2016000*ln2*s7a + 
    37296000*ln2*s7b - 63089775*s8a - 333648000*s8b - 88704000*s8c + 
    4032000*s8d + 14112000*li6half*z2 + 19600*ln2^6*z2 + 18396000*s6*z2 - 
    16128000*li4half*z2^2 - 4053000*ln2^4*z2^2 - 17136000*ln2^2*z2^3 - 
    39681594*z2^4 + 23688000*li5half*z3 - 197400*ln2^5*z3 - 
    5964000*ln2^3*z2*z3 + 4233600*ln2*z2^2*z3 + 21498750*ln2^2*z3^2 + 
    62779500*z2*z3^2 - 34177500*ln2^3*z5 + 155452500*ln2*z2*z5 + 
    69646500*z3*z5 + 422667000*ln2*z7)/14112000, 
 H[0, 0, 0, 1, -1, 0, 1, 1, 1] -> (86625*s8a - 756000*s8b + 336000*s6*z2 - 
    134400*li4half*z2^2 - 5600*ln2^4*z2^2 + 33600*ln2^2*z2^3 + 2006*z2^4 + 
    6300*ln2*z2^2*z3 - 52500*z2*z3^2 + 267225*z3*z5)/67200, 
 H[0, 0, 0, 1, -1, 0, 1, 0, 1] -> 
  (-298200*s8a + 1176000*s8b + 1075200*li4half*z2^2 + 44800*ln2^4*z2^2 - 
    268800*ln2^2*z2^3 - 316707*z2^4 + 189000*ln2*z2^2*z3 + 94500*z2*z3^2 - 
    126000*z3*z5)/168000, H[0, 0, 0, 1, -1, 0, 1, -1, 1] -> 
  (-47712000*ln2^2*s6 + 9408000*ln2*s7a - 28224000*ln2*s7b + 87183600*s8a + 
    425208000*s8b + 76608000*s8c + 36288000*s8d - 124320000*s6*z2 + 
    12196800*li4half*z2^2 + 508200*ln2^4*z2^2 + 16489200*ln2^2*z2^3 + 
    1640021*z2^4 - 100800000*li5half*z3 - 16464000*li4half*ln2*z3 + 
    154000*ln2^5*z3 - 4284000*ln2^3*z2*z3 - 64814400*ln2*z2^2*z3 + 
    987000*ln2^2*z3^2 - 78072750*z2*z3^2 + 36456000*ln2^3*z5 - 
    171648750*ln2*z2*z5 + 175179375*z3*z5 - 93639000*ln2*z7)/2352000, 
 H[0, 0, 0, 1, -1, 0, 0, 1, 1] -> (42525*s8a + 588000*s8b - 336000*s6*z2 + 
    9932*z2^4 - 18900*ln2*z2^2*z3 + 88200*z2*z3^2 - 259875*z3*z5)/33600, 
 H[0, 0, 0, 1, -1, 0, 0, 0, 1] -> (-53550*s8a - 560000*s8b + 37907*z2^4 + 
    257250*z3*z5)/28000, H[0, 0, 0, 1, -1, 0, 0, -1, 1] -> 
  (76950*s8a + 720000*s8b + 48000*s6*z2 + 133732*z2^4 + 27000*ln2*z2^2*z3 - 
    24750*z2*z3^2 - 554625*z3*z5 - 1666875*ln2*z7)/48000, 
 H[0, 0, 0, 1, -1, 0, -1, 1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 + 3628800*ln2^2*s6 - 
    6307875*s8a - 36086400*s8b - 4032000*s8c - 5644800*s8d - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 + 16128000*s6*z2 - 
    2741760*li4half*z2^2 - 13440*ln2^4*z2^2 - 1802880*ln2^2*z2^3 + 
    1175028*z2^4 + 4838400*li5half*z3 - 40320*ln2^5*z3 + 403200*ln2^3*z2*z3 + 
    3341520*ln2*z2^2*z3 + 226800*ln2^2*z3^2 + 4473000*z2*z3^2 + 
    10678500*ln2*z2*z5 - 8785350*z3*z5)/403200, 
 H[0, 0, 0, 1, -1, 0, -1, 0, 1] -> 
  (-335475*s8a - 2184000*s8b + 672000*s6*z2 - 436800*li4half*z2^2 - 
    18200*ln2^4*z2^2 + 109200*ln2^2*z2^3 + 213474*z2^4 + 252000*ln2*z2^2*z3 - 
    15750*z2*z3^2 - 220500*z3*z5)/168000, H[0, 0, 0, 1, -1, 0, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    102816000*ln2^2*s6 - 56448000*ln2*s7a + 169344000*ln2*s7b - 
    280408275*s8a - 1274112000*s8b - 205632000*s8c - 133056000*s8d - 
    28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 470736000*s6*z2 - 
    56952000*li4half*z2^2 + 1155000*ln2^4*z2^2 - 18723600*ln2^2*z2^3 + 
    35553516*z2^4 + 266112000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    1898400*ln2^5*z3 - 2520000*ln2^3*z2*z3 + 154980000*ln2*z2^2*z3 - 
    29736000*ln2^2*z3^2 + 221917500*z2*z3^2 - 218736000*ln2^3*z5 + 
    112392000*ln2*z2*z5 - 624684375*z3*z5 + 631842750*ln2*z7)/14112000, 
 H[0, 0, 0, 1, -1, -1, 1, 1, 1] -> (-864000*li4half^2 - 72000*li4half*ln2^4 - 
    1500*ln2^8 - 144000*ln2^2*s6 + 1035675*s8a + 4608000*s8b + 288000*s8c + 
    1296000*s8d + 2304000*li6half*z2 + 3200*ln2^6*z2 - 1800000*s6*z2 + 
    633600*li4half*z2^2 + 14400*ln2^4*z2^2 + 36000*ln2^2*z2^3 - 700632*z2^4 - 
    288000*li5half*z3 + 2400*ln2^5*z3 - 132000*ln2^3*z2*z3 - 
    176400*ln2*z2^2*z3 - 40500*ln2^2*z3^2 - 803250*z2*z3^2 - 
    232500*ln2^3*z5 - 166500*ln2*z2*z5 + 884250*z3*z5)/288000, 
 H[0, 0, 0, 1, -1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    10080000*ln2^2*s6 - 8002575*s8a + 66528000*s8b + 20160000*s8c - 
    20160000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    40320000*s6*z2 - 35784000*li4half*z2^2 + 2037000*ln2^4*z2^2 + 
    6552000*ln2^2*z2^3 + 22498488*z2^4 - 72576000*li5half*z3 + 
    604800*ln2^5*z3 - 6048000*ln2^3*z2*z3 - 58816800*ln2*z2^2*z3 - 
    2835000*ln2^2*z3^2 - 4315500*z2*z3^2 - 94657500*ln2*z2*z5 + 
    42328125*z3*z5)/14112000, H[0, 0, 0, 1, -1, -1, 1, -1, 1] -> 
  (-9408000*ln2^2*s6 + 4032000*ln2*s7a - 7728000*ln2*s7b + 1684725*s8a + 
    17136000*s8b + 10752000*s8c - 1344000*s8d + 14112000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 372400*ln2^6*z2 + 
    7980000*s6*z2 + 4200000*li4half*z2^2 - 854000*ln2^4*z2^2 + 
    357000*ln2^2*z2^3 - 4734*z2^4 - 12600000*li5half*z3 - 
    8232000*li4half*ln2*z3 - 238000*ln2^5*z3 + 3654000*ln2^3*z2*z3 - 
    1543500*ln2*z2^2*z3 + 3528000*ln2^2*z3^2 - 10269000*z2*z3^2 + 
    15190000*ln2^3*z5 - 62034000*ln2*z2*z5 + 12027750*z3*z5 + 
    27279000*ln2*z7)/4704000, H[0, 0, 0, 1, -1, -1, 0, 1, 1] -> 
  (537600*ln2^2*s6 + 300825*s8a + 9811200*s8b - 1075200*s8c + 1075200*s8d - 
    4502400*s6*z2 + 826560*li4half*z2^2 + 34440*ln2^4*z2^2 - 
    431760*ln2^2*z2^3 - 354568*z2^4 + 1612800*li5half*z3 - 13440*ln2^5*z3 + 
    134400*ln2^3*z2*z3 + 748440*ln2*z2^2*z3 + 151200*ln2^2*z3^2 - 
    369600*z2*z3^2 - 1331400*ln2*z2*z5 - 897750*z3*z5)/940800, 
 H[0, 0, 0, 1, -1, -1, 0, 0, 1] -> 
  (-316575*s8a - 3192000*s8b - 974400*li4half*z2^2 - 40600*ln2^4*z2^2 + 
    999600*ln2^2*z2^3 + 465288*z2^4 - 252000*ln2*z2^2*z3 - 126000*z2*z3^2 + 
    189000*z3*z5)/336000, H[0, 0, 0, 1, -1, -1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    179424000*ln2^2*s6 + 76608000*ln2*s7a - 36288000*ln2*s7b + 
    288544725*s8a + 1450512000*s8b + 205632000*s8c + 133056000*s8d - 
    28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 410760000*s6*z2 - 
    41126400*li4half*z2^2 + 1814400*ln2^4*z2^2 + 81748800*ln2^2*z2^3 + 
    32365356*z2^4 - 308448000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    6686400*ln2^5*z3 - 50400000*ln2^3*z2*z3 - 284520600*ln2*z2^2*z3 + 
    66843000*ln2^2*z3^2 - 233714250*z2*z3^2 + 109368000*ln2^3*z5 - 
    540949500*ln2*z2*z5 + 495085500*z3*z5 - 427423500*ln2*z7)/14112000, 
 H[0, 0, 0, 1, -1, -1, -1, 1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 + 5544000*ln2^2*s6 - 
    7720650*s8a - 23184000*s8b - 8064000*s8c - 1008000*s8d - 
    6048000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 
    8064000*s6*z2 - 1209600*li4half*z2^2 + 201600*ln2^4*z2^2 - 
    3502800*ln2^2*z2^3 - 239544*z2^4 + 504000*li5half*z3 - 4200*ln2^5*z3 - 
    336000*ln2^3*z2*z3 + 3238200*ln2*z2^2*z3 + 2331000*ln2^2*z3^2 + 
    3984750*z2*z3^2 + 1627500*ln2^3*z5 + 18522000*ln2*z2*z5 - 921375*z3*z5)/
   2016000, H[0, 0, 0, 1, -1, -1, -1, 0, 1] -> 
  (3360000*ln2^2*s6 - 16552725*s8a - 116256000*s8b - 6720000*s8c - 
    12096000*s8d + 37128000*s6*z2 - 14179200*li4half*z2^2 - 
    590800*ln2^4*z2^2 + 1696800*ln2^2*z2^3 + 6072804*z2^4 + 
    10080000*li5half*z3 - 84000*ln2^5*z3 + 840000*ln2^3*z2*z3 + 
    10962000*ln2*z2^2*z3 + 945000*ln2^2*z3^2 + 13566000*z2*z3^2 + 
    31552500*ln2*z2*z5 - 31767750*z3*z5)/4704000, 
 H[0, 0, 0, 1, -1, -1, -1, -1, 1] -> 
  (322560*li4half^2 + 26880*li4half*ln2^4 + 560*ln2^8 - 262080*ln2^2*s6 + 
    201600*ln2*s7a + 322560*ln2*s7b + 42210*s8a + 645120*s8b + 80640*s8d - 
    80640*li6half*z2 - 161280*li4half*ln2^2*z2 - 6832*ln2^6*z2 - 
    120960*s6*z2 - 258048*li4half*z2^2 + 13608*ln2^4*z2^2 + 
    189504*ln2^2*z2^3 + 144432*z2^4 - 322560*li5half*z3 + 
    564480*li4half*ln2*z3 + 26208*ln2^5*z3 - 168000*ln2^3*z2*z3 - 
    425376*ln2*z2^2*z3 + 204120*ln2^2*z3^2 - 182280*ln2^3*z5 - 
    951300*ln2*z2*z5 - 65520*z3*z5 + 768285*ln2*z7)/80640, 
 H[0, 0, 0, 0, 1, 1, 1, 1, 1] -> (499*z2^4 + 1400*z2*z3^2 - 5600*z3*z5)/1400, 
 H[0, 0, 0, 0, 1, 1, 1, 0, 1] -> (525*s8a - 1716*z2^4 + 9625*z3*z5)/1750, 
 H[0, 0, 0, 0, 1, 1, 1, -1, 1] -> (1008000*ln2^2*s6 - 672000*ln2*s7a - 
    1069425*s8a - 6720000*s8b - 672000*s8c - 672000*s8d + 2520000*s6*z2 - 
    369600*li4half*z2^2 - 15400*ln2^4*z2^2 - 235200*ln2^2*z2^3 - 
    246408*z2^4 + 2352000*li5half*z3 - 19600*ln2^5*z3 + 196000*ln2^3*z2*z3 + 
    995400*ln2*z2^2*z3 - 745500*ln2^2*z3^2 + 472500*z2*z3^2 - 
    651000*ln2^3*z5 - 21000*ln2*z2*z5 - 364875*z3*z5 + 4656750*ln2*z7)/
   672000, H[0, 0, 0, 0, 1, 1, 0, 1, 1] -> 
  (2100*s8a + 26*z2^4 - 7875*z2*z3^2 + 13125*z3*z5)/5250, 
 H[0, 0, 0, 0, 1, 1, 0, 0, 1] -> (-35*s8a + 36*z2^4 - 175*z3*z5)/35, 
 H[0, 0, 0, 0, 1, 1, 0, -1, 1] -> (35175*s8a + 1512000*s8b + 335218*z2^4 + 
    42000*z2*z3^2 - 1603875*z3*z5 - 3000375*ln2*z7)/336000, 
 H[0, 0, 0, 0, 1, 1, -1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    1008000*ln2^2*s6 - 107100*s8a - 7056000*s8b + 2016000*li4half*ln2^2*z2 + 
    84000*ln2^6*z2 + 4032000*s6*z2 - 252000*ln2^4*z2^2 + 856800*ln2^2*z2^3 + 
    368784*z2^4 + 4032000*li5half*z3 - 33600*ln2^5*z3 + 336000*ln2^3*z2*z3 - 
    365400*ln2*z2^2*z3 + 1260000*ln2^2*z3^2 - 3307500*z2*z3^2 - 
    2740500*ln2*z2*z5 + 4291875*z3*z5)/2016000, 
 H[0, 0, 0, 0, 1, 1, -1, 0, 1] -> (-13825*s8a + 196000*s8b - 28000*s6*z2 + 
    117600*li4half*z2^2 + 4900*ln2^4*z2^2 - 92400*ln2^2*z2^3 - 8642*z2^4 + 
    126000*ln2*z2^2*z3 + 35000*z2*z3^2 - 329000*z3*z5)/56000, 
 H[0, 0, 0, 0, 1, 1, -1, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    7056000*ln2^2*s6 - 4032000*ln2*s7a - 2016000*ln2*s7b - 5988150*s8a - 
    22176000*s8b - 4032000*s8c - 4032000*s8d + 2016000*li4half*ln2^2*z2 + 
    84000*ln2^6*z2 + 11088000*s6*z2 + 3628800*li4half*z2^2 - 
    100800*ln2^4*z2^2 - 3729600*ln2^2*z2^3 + 1016136*z2^4 + 
    14112000*li5half*z3 - 7056000*li4half*ln2*z3 - 411600*ln2^5*z3 + 
    2940000*ln2^3*z2*z3 + 11667600*ln2*z2^2*z3 - 5733000*ln2^2*z3^2 + 
    5733000*z2*z3^2 - 1953000*ln2^3*z5 + 17955000*ln2*z2*z5 - 
    29003625*z3*z5 - 26097750*ln2*z7)/2016000, 
 H[0, 0, 0, 0, 1, 0, 1, 1, 1] -> (-3675*s8a - 4028*z2^4 - 5250*z2*z3^2 + 
    36750*z3*z5)/5250, H[0, 0, 0, 0, 1, 0, 1, 0, 1] -> 
  (2*(21*z2^4 - 125*z3*z5))/25, H[0, 0, 0, 0, 1, 0, 1, -1, 1] -> 
  (137025*s8a + 1512000*s8b - 672000*s6*z2 + 470400*li4half*z2^2 + 
    19600*ln2^4*z2^2 - 117600*ln2^2*z2^3 + 156614*z2^4 + 504000*ln2*z2^2*z3 + 
    378000*z2*z3^2 + 2520000*ln2*z2*z5 - 2735250*z3*z5 - 5334000*ln2*z7)/
   336000, H[0, 0, 0, 0, 1, 0, 0, 1, 1] -> (175*s8a - 24*z2^4)/175, 
 H[0, 0, 0, 0, 1, 0, 0, 0, 1] -> (-24*z2^4)/5, 
 H[0, 0, 0, 0, 1, 0, 0, -1, 1] -> 
  (-3*(945*s8a + 11200*s8b + 2074*z2^4 - 9485*z3*z5 - 22225*ln2*z7))/2240, 
 H[0, 0, 0, 0, 1, 0, -1, 1, 1] -> (18075*s8a + 84000*s8b - 96000*s6*z2 + 
    38400*li4half*z2^2 + 1600*ln2^4*z2^2 - 9600*ln2^2*z2^3 - 18788*z2^4 + 
    27000*ln2*z2^2*z3 + 49500*z2*z3^2 + 99000*ln2*z2*z5 - 111375*z3*z5)/
   24000, H[0, 0, 0, 0, 1, 0, -1, 0, 1] -> (-3*(193*z2^4 - 1100*z3*z5))/800, 
 H[0, 0, 0, 0, 1, 0, -1, -1, 1] -> (-137025*s8a - 2352000*s8b - 483734*z2^4 - 
    126000*z2*z3^2 + 2459625*z3*z5 + 4667250*ln2*z7)/336000, 
 H[0, 0, 0, 0, 1, -1, 1, 1, 1] -> (-67200*ln2^2*s6 + 221025*s8a + 
    2150400*s8b + 134400*s8c + 134400*s8d - 739200*s6*z2 + 
    188160*li4half*z2^2 + 7840*ln2^4*z2^2 - 65520*ln2^2*z2^3 - 83136*z2^4 - 
    138600*ln2*z2^2*z3 - 18900*ln2^2*z3^2 - 176400*z2*z3^2 + 43400*ln2^3*z5 - 
    533400*ln2*z2*z5 + 348075*z3*z5)/134400, H[0, 0, 0, 0, 1, -1, 1, 0, 1] -> 
  (-96075*s8a - 1176000*s8b + 252000*ln2^2*z2^3 + 31578*z2^4 + 
    189000*ln2*z2^2*z3 + 108500*ln2*z2*z5 - 42875*z3*z5)/112000, 
 H[0, 0, 0, 0, 1, -1, 1, -1, 1] -> (-67200*ln2*s7b + 30240*ln2^2*z2^3 + 
    40377*z2^4 + 121380*ln2*z2^2*z3 + 25200*z2*z3^2 + 43400*ln2^3*z5 + 
    466200*ln2*z2*z5 - 261450*z3*z5 - 1267875*ln2*z7)/67200, 
 H[0, 0, 0, 0, 1, -1, 0, 1, 1] -> (-7725*s8a - 504000*s8b + 192000*s6*z2 - 
    76800*li4half*z2^2 - 3200*ln2^4*z2^2 + 19200*ln2^2*z2^3 + 11374*z2^4 - 
    31500*z2*z3^2 + 93000*ln2*z2*z5 + 119250*z3*z5)/48000, 
 H[0, 0, 0, 0, 1, -1, 0, 0, 1] -> 
  (3*(4725*s8a + 56000*s8b - 4178*z2^4 - 23450*z3*z5))/11200, 
 H[0, 0, 0, 0, 1, -1, 0, -1, 1] -> 
  (-151200*s8a - 2016000*s8b - 672000*s6*z2 + 470400*li4half*z2^2 + 
    19600*ln2^4*z2^2 - 117600*ln2^2*z2^3 - 741052*z2^4 + 173250*z2*z3^2 + 
    325500*ln2*z2*z5 + 2065875*z3*z5 + 7000875*ln2*z7)/336000, 
 H[0, 0, 0, 0, 1, -1, -1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    3024000*ln2^2*s6 + 5988150*s8a + 22176000*s8b + 4032000*s8c + 
    4032000*s8d + 2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 
    13104000*s6*z2 + 3225600*li4half*z2^2 - 117600*ln2^4*z2^2 + 
    1537200*ln2^2*z2^3 - 1465776*z2^4 - 567000*ln2*z2^2*z3 - 
    850500*ln2^2*z3^2 - 2425500*z2*z3^2 - 651000*ln2^3*z5 - 
    3496500*ln2*z2*z5 + 1330875*z3*z5)/2016000, 
 H[0, 0, 0, 0, 1, -1, -1, 0, 1] -> (96075*s8a + 896000*s8b - 56000*s6*z2 + 
    235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 184800*ln2^2*z2^3 - 117238*z2^4 - 
    15750*z2*z3^2 - 108500*ln2*z2*z5 + 145250*z3*z5)/112000, 
 H[0, 0, 0, 0, 1, -1, -1, -1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 + 604800*ln2^2*s6 - 
    403200*ln2*s7a - 806400*ln2*s7b - 1008000*s8b + 403200*li4half*ln2^2*z2 + 
    16800*ln2^6*z2 - 504000*s6*z2 + 1028160*li4half*z2^2 - 7560*ln2^4*z2^2 - 
    544320*ln2^2*z2^3 - 703224*z2^4 + 604800*li5half*z3 - 
    1411200*li4half*ln2*z3 - 63840*ln2^5*z3 + 403200*ln2^3*z2*z3 + 
    987840*ln2*z2^2*z3 - 447300*ln2^2*z3^2 - 50400*z2*z3^2 + 
    520800*ln2^3*z5 + 2381400*ln2*z2*z5 + 1368675*z3*z5 + 381150*ln2*z7)/
   403200, H[0, 0, 0, 0, 0, 1, 1, 1, 1] -> 
  (122*z2^4 + 175*z2*z3^2 - 1050*z3*z5)/350, H[0, 0, 0, 0, 0, 1, 1, 0, 1] -> 
  (2*(175*s8a - 327*z2^4 + 1750*z3*z5))/875, H[0, 0, 0, 0, 0, 1, 1, -1, 1] -> 
  (-17850*s8a - 840000*s8b + 168000*s6*z2 - 235200*li4half*z2^2 - 
    9800*ln2^4*z2^2 + 134400*ln2^2*z2^3 - 87996*z2^4 - 252000*ln2*z2^2*z3 - 
    126000*z2*z3^2 - 504000*ln2*z2*z5 + 1262625*z3*z5 + 1666875*ln2*z7)/
   336000, H[0, 0, 0, 0, 0, 1, 0, 1, 1] -> 
  (-2*(175*s8a + 123*z2^4 - 875*z3*z5))/875, H[0, 0, 0, 0, 0, 1, 0, 0, 1] -> 
  (72*z2^4)/25, H[0, 0, 0, 0, 0, 1, 0, -1, 1] -> 
  (3*(4725*s8a + 56000*s8b + 11721*z2^4 - 55125*z3*z5 - 111125*ln2*z7))/
   28000, H[0, 0, 0, 0, 0, 1, -1, 1, 1] -> 
  (5950*s8a + 392000*s8b - 50400*ln2^2*z2^3 + 5912*z2^4 - 63000*ln2*z2^2*z3 - 
    31500*z2*z3^2 - 157500*ln2*z2*z5 + 56875*z3*z5)/112000, 
 H[0, 0, 0, 0, 0, 1, -1, 0, 1] -> 
  (-3*(4725*s8a + 56000*s8b - 5529*z2^4 - 15750*z3*z5))/28000, 
 H[0, 0, 0, 0, 0, 1, -1, -1, 1] -> 
  (13440*s8b + 6720*s6*z2 - 9408*li4half*z2^2 - 392*ln2^4*z2^2 + 
    5376*ln2^2*z2^3 + 12612*z2^4 - 39690*z3*z5 - 93345*ln2*z7)/13440, 
 H[0, 0, 0, 0, 0, 0, 1, 1, 1] -> (6*z2^4 - 35*z3*z5)/35, 
 H[0, 0, 0, 0, 0, 0, 1, 0, 1] -> (-24*z2^4)/25, 
 H[0, 0, 0, 0, 0, 0, 1, -1, 1] -> (-138*z2^4 + 315*z3*z5 + 889*ln2*z7)/448, 
 H[0, 0, 0, 0, 0, 0, 0, 1, 1] -> (24*z2^4)/175, 
 H[0, 0, 0, 0, 0, 0, 0, 0, 1] -> 0, H[0, 0, 0, 0, 0, 0, 0, -1, 1] -> 
  (381*z2^4)/2800, H[0, 0, 0, 0, 0, 0, -1, 1, 1] -> (-175*s8b + 24*z2^4)/175, 
 H[0, 0, 0, 0, 0, 0, -1, 0, 1] -> (-381*z2^4)/400, 
 H[0, 0, 0, 0, 0, 0, -1, -1, 1] -> (-11200*s8b - 3804*z2^4 + 18900*z3*z5 + 
    22225*ln2*z7)/11200, H[0, 0, 0, 0, 0, -1, 1, 1, 1] -> 
  (-2940*s8b + 840*s6*z2 - 672*li4half*z2^2 - 28*ln2^4*z2^2 + 
    357*ln2^2*z2^3 + 312*z2^4 - 420*z3*z5)/840, 
 H[0, 0, 0, 0, 0, -1, 1, 0, 1] -> 
  (3*(4200*s8a + 56000*s8b - 5913*z2^4 - 14000*z3*z5))/28000, 
 H[0, 0, 0, 0, 0, -1, 1, -1, 1] -> (-10080*ln2^2*z2^3 - 11212*z2^4 - 
    12600*ln2*z2^2*z3 - 3150*z2*z3^2 - 31500*ln2*z2*z5 + 54600*z3*z5 + 
    155575*ln2*z7)/22400, H[0, 0, 0, 0, 0, -1, 0, 1, 1] -> 
  (-3*(4200*s8a + 1767*z2^4 - 14000*z3*z5))/28000, 
 H[0, 0, 0, 0, 0, -1, 0, 0, 1] -> (1143*z2^4)/400, 
 H[0, 0, 0, 0, 0, -1, 0, -1, 1] -> 
  (3*(600*s8a + 8000*s8b + 1791*z2^4 - 8500*z3*z5 - 15875*ln2*z7))/4000, 
 H[0, 0, 0, 0, 0, -1, -1, 1, 1] -> 
  (-16800*s8b + 16800*s6*z2 - 13440*li4half*z2^2 - 560*ln2^4*z2^2 + 
    7140*ln2^2*z2^3 + 1212*z2^4 - 12600*ln2*z2^2*z3 - 12600*z2*z3^2 - 
    25200*ln2*z2*z5 + 58275*z3*z5)/16800, H[0, 0, 0, 0, 0, -1, -1, 0, 1] -> 
  (-3*(4200*s8a - 6483*z2^4 + 35000*z3*z5))/28000, 
 H[0, 0, 0, 0, 0, -1, -1, -1, 1] -> (56000*s8b + 15352*z2^4 + 5600*z2*z3^2 - 
    83300*z3*z5 - 111125*ln2*z7)/22400, H[0, 0, 0, 0, -1, 1, 1, 1, 1] -> 
  (-35175*s8a - 705600*s8b - 67200*s8d + 336000*s6*z2 - 107520*li4half*z2^2 - 
    4480*ln2^4*z2^2 + 26880*ln2^2*z2^3 + 52788*z2^4 + 33600*z2*z3^2 - 
    87675*z3*z5)/67200, H[0, 0, 0, 0, -1, 1, 1, 0, 1] -> 
  (2345*s8a + 31360*s8b + 10752*li4half*z2^2 + 448*ln2^4*z2^2 - 
    7728*ln2^2*z2^3 - 5772*z2^4 + 7805*z3*z5)/4480, 
 H[0, 0, 0, 0, -1, 1, 1, -1, 1] -> (-24000*ln2^2*s6 - 48000*ln2*s7a - 
    96000*ln2*s7b + 123825*s8a + 456000*s8b + 144000*s8c - 48000*s6*z2 + 
    12000*li4half*z2^2 + 500*ln2^4*z2^2 + 1200*ln2^2*z2^3 - 7908*z2^4 - 
    144000*li5half*z3 - 168000*li4half*ln2*z3 - 5800*ln2^5*z3 + 
    30000*ln2^3*z2*z3 - 86700*ln2*z2^2*z3 - 80250*ln2^2*z3^2 - 
    150750*z2*z3^2 + 46500*ln2^3*z5 - 353250*ln2*z2*z5 + 449625*z3*z5 + 
    45375*ln2*z7)/48000, H[0, 0, 0, 0, -1, 1, 0, 1, 1] -> 
  (84525*s8a + 1764000*s8b - 840000*s6*z2 + 268800*li4half*z2^2 + 
    11200*ln2^4*z2^2 - 67200*ln2^2*z2^3 - 53986*z2^4 + 126000*z2*z3^2 - 
    501375*z3*z5)/168000, H[0, 0, 0, 0, -1, 1, 0, 0, 1] -> 
  (-3*(4275*s8a + 40000*s8b - 3386*z2^4 - 16125*z3*z5))/8000, 
 H[0, 0, 0, 0, -1, 1, 0, -1, 1] -> (170100*s8a + 2016000*s8b + 504000*s6*z2 - 
    470400*li4half*z2^2 - 19600*ln2^4*z2^2 + 117600*ln2^2*z2^3 + 
    772676*z2^4 - 157500*z2*z3^2 - 2386125*z3*z5 - 7000875*ln2*z7)/336000, 
 H[0, 0, 0, 0, -1, 1, -1, 1, 1] -> (24525*s8a + 168000*s8b + 16000*s8c - 
    16000*s6*z2 - 7200*ln2^2*z2^3 + 5744*z2^4 - 33000*ln2*z2^2*z3 - 
    28500*z2*z3^2 - 96000*ln2*z2*z5 + 37125*z3*z5)/16000, 
 H[0, 0, 0, 0, -1, 1, -1, 0, 1] -> (-171675*s8a - 1176000*s8b + 56000*s6*z2 + 
    252000*ln2^2*z2^3 + 50692*z2^4 + 189000*ln2*z2^2*z3 + 15750*z2*z3^2 - 
    91875*z3*z5)/112000, H[0, 0, 0, 0, -1, 1, -1, -1, 1] -> 
  (-89600*ln2^2*s6 - 44800*ln2*s7b + 117950*s8a + 582400*s8b + 134400*s8c - 
    11200*s6*z2 - 47040*li4half*z2^2 - 1960*ln2^4*z2^2 + 57680*ln2^2*z2^3 + 
    99776*z2^4 - 67200*li5half*z3 + 560*ln2^5*z3 - 5600*ln2^3*z2*z3 - 
    69440*ln2*z2^2*z3 - 25200*ln2^2*z3^2 - 115850*z2*z3^2 + 43400*ln2^3*z5 - 
    270200*ln2*z2*z5 - 112525*z3*z5 - 845250*ln2*z7)/44800, 
 H[0, 0, 0, 0, -1, 0, 1, 1, 1] -> 
  (-344925*s8a - 83128*z2^4 - 252000*z2*z3^2 + 1257375*z3*z5)/336000, 
 H[0, 0, 0, 0, -1, 0, 1, 0, 1] -> (3*(8925*s8a + 5863*z2^4 - 42875*z3*z5))/
   28000, H[0, 0, 0, 0, -1, 0, 1, -1, 1] -> 
  (344925*s8a + 1512000*s8b - 672000*s6*z2 + 470400*li4half*z2^2 + 
    19600*ln2^4*z2^2 - 117600*ln2^2*z2^3 - 83852*z2^4 + 378000*ln2*z2^2*z3 + 
    346500*z2*z3^2 + 2362500*ln2*z2*z5 - 1433250*z3*z5 - 4667250*ln2*z7)/
   336000, H[0, 0, 0, 0, -1, 0, 0, 1, 1] -> 
  (3*(12075*s8a + 2972*z2^4 - 27125*z3*z5))/56000, 
 H[0, 0, 0, 0, -1, 0, 0, 0, 1] -> (-381*z2^4)/80, 
 H[0, 0, 0, 0, -1, 0, 0, -1, 1] -> 
  (-3*(29925*s8a + 280000*s8b + 46358*z2^4 - 210000*z3*z5 - 555625*ln2*z7))/
   56000, H[0, 0, 0, 0, -1, 0, -1, 1, 1] -> 
  (945*s8a + 33600*s8b - 53760*s6*z2 + 21504*li4half*z2^2 + 896*ln2^4*z2^2 - 
    5376*ln2^2*z2^3 - 2516*z2^4 + 20160*ln2*z2^2*z3 + 30240*z2*z3^2 + 
    61740*ln2*z2*z5 - 110880*z3*z5)/13440, H[0, 0, 0, 0, -1, 0, -1, 0, 1] -> 
  (3*(8925*s8a - 16327*z2^4 + 87500*z3*z5))/28000, 
 H[0, 0, 0, 0, -1, 0, -1, -1, 1] -> (-5925*s8a - 384000*s8b - 98668*z2^4 - 
    24000*z2*z3^2 + 510000*z3*z5 + 762000*ln2*z7)/48000, 
 H[0, 0, 0, 0, -1, -1, 1, 1, 1] -> (-21105*s8a - 188160*s8b - 40320*s8d + 
    114240*s6*z2 - 21504*li4half*z2^2 - 896*ln2^4*z2^2 - 672*ln2^2*z2^3 + 
    11052*z2^4 + 26880*li5half*z3 - 224*ln2^5*z3 + 2240*ln2^3*z2*z3 + 
    1344*ln2*z2^2*z3 - 5040*z2*z3^2 + 4340*ln2^3*z5 - 13020*ln2*z2*z5 + 
    16380*z3*z5)/13440, H[0, 0, 0, 0, -1, -1, 1, 0, 1] -> 
  (42525*s8a + 280000*s8b + 268800*li4half*z2^2 + 11200*ln2^4*z2^2 - 
    193200*ln2^2*z2^3 - 55296*z2^4 + 252000*ln2*z2^2*z3 + 108500*ln2*z2*z5 - 
    469875*z3*z5)/112000, H[0, 0, 0, 0, -1, -1, 1, -1, 1] -> 
  (1008000*ln2^2*s6 - 1344000*ln2*s7a - 672000*ln2*s7b + 994350*s8a + 
    4704000*s8b + 672000*s8c - 840000*s6*z2 + 873600*li4half*z2^2 + 
    36400*ln2^4*z2^2 - 394800*ln2^2*z2^3 - 163584*z2^4 - 1008000*li5half*z3 - 
    2352000*li4half*ln2*z3 - 89600*ln2^5*z3 + 504000*ln2^3*z2*z3 + 
    957600*ln2*z2^2*z3 - 1774500*ln2^2*z3^2 - 257250*z2*z3^2 - 
    868000*ln2^3*z5 + 1501500*ln2*z2*z5 + 396375*z3*z5 - 8699250*ln2*z7)/
   672000, H[0, 0, 0, 0, -1, -1, 0, 1, 1] -> 
  (-151200*s8a - 336000*s6*z2 + 107588*z2^4 + 504000*z2*z3^2 + 
    651000*ln2*z2*z5 - 1645875*z3*z5)/336000, 
 H[0, 0, 0, 0, -1, -1, 0, 0, 1] -> (3*(12075*s8a - 16088*z2^4 + 87500*z3*z5))/
   56000, H[0, 0, 0, 0, -1, -1, 0, -1, 1] -> 
  (-4350*s8a - 43200*s8b - 4800*s6*z2 - 4744*z2^4 - 1200*z2*z3^2 + 
    9300*ln2*z2*z5 + 17700*z3*z5 + 85725*ln2*z7)/9600, 
 H[0, 0, 0, 0, -1, -1, -1, 1, 1] -> 
  (33600*ln2^2*s6 - 105525*s8a - 772800*s8b - 201600*s8d + 369600*s6*z2 - 
    13440*li4half*z2^2 - 560*ln2^4*z2^2 - 40320*ln2^2*z2^3 + 61692*z2^4 + 
    268800*li5half*z3 - 2240*ln2^5*z3 + 22400*ln2^3*z2*z3 + 
    114240*ln2*z2^2*z3 - 42000*ln2^2*z3^2 + 151200*z2*z3^2 - 21700*ln2^3*z5 + 
    201600*ln2*z2*z5 - 704550*z3*z5)/67200, 
 H[0, 0, 0, 0, -1, -1, -1, 0, 1] -> (64575*s8a + 56000*s6*z2 - 98228*z2^4 - 
    70000*z2*z3^2 - 108500*ln2*z2*z5 + 686000*z3*z5)/112000, 
 H[0, 0, 0, 0, -1, -1, -1, -1, 1] -> 
  (33600*ln2^2*s6 - 67200*ln2*s7a - 35175*s8a - 537600*s8b - 67200*s8d + 
    168000*s6*z2 - 13440*li4half*z2^2 - 560*ln2^4*z2^2 - 10080*ln2^2*z2^3 - 
    39492*z2^4 + 134400*li5half*z3 - 1120*ln2^5*z3 + 11200*ln2^3*z2*z3 + 
    50400*ln2*z2^2*z3 - 42000*ln2^2*z3^2 - 16800*z2*z3^2 - 43400*ln2^3*z5 - 
    2100*ln2*z2*z5 + 155925*z3*z5 + 465675*ln2*z7)/67200, 
 H[0, 0, 0, -1, 1, 1, 1, 1, 1] -> (-75375*s8a - 1008000*s8b - 144000*s8d - 
    115200*li6half*z2 - 160*ln2^6*z2 + 475200*s6*z2 - 115200*li4half*z2^2 - 
    600*ln2^4*z2^2 + 31680*ln2^2*z2^3 + 81828*z2^4 + 64800*z2*z3^2 - 
    87075*z3*z5)/57600, H[0, 0, 0, -1, 1, 1, 1, 0, 1] -> 
  (-224000*ln2^2*s6 + 1247575*s8a + 9534000*s8b + 448000*s8c + 1120000*s8d - 
    3024000*s6*z2 + 1890000*li4half*z2^2 + 78750*ln2^4*z2^2 - 
    378700*ln2^2*z2^3 - 887428*z2^4 - 672000*li5half*z3 + 5600*ln2^5*z3 - 
    56000*ln2^3*z2*z3 - 789600*ln2*z2^2*z3 - 63000*ln2^2*z3^2 - 
    973000*z2*z3^2 - 1344000*ln2*z2*z5 + 2759750*z3*z5)/392000, 
 H[0, 0, 0, -1, 1, 1, 1, -1, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 - 907200*ln2^2*s6 - 
    7056000*ln2*s7a - 11289600*ln2*s7b + 17597475*s8a + 73231200*s8b + 
    15926400*s8c + 3830400*s8d - 8467200*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 - 47040*ln2^6*z2 - 15422400*s6*z2 + 
    5352480*li4half*z2^2 + 223020*ln2^4*z2^2 - 1791720*ln2^2*z2^3 - 
    1433826*z2^4 - 10483200*li5half*z3 - 19756800*li4half*ln2*z3 - 
    735840*ln2^5*z3 + 3536400*ln2^3*z2*z3 - 4609080*ln2*z2^2*z3 - 
    11059650*ln2^2*z3^2 - 18107775*z2*z3^2 + 4101300*ln2^3*z5 - 
    22421700*ln2*z2*z5 + 39593925*z3*z5 - 26889975*ln2*z7)/2822400, 
 H[0, 0, 0, -1, 1, 1, 0, 1, 1] -> (2688000*ln2^2*s6 - 6198675*s8a + 
    30240000*s8b - 5376000*s8c + 5376000*s8d - 34272000*s6*z2 + 
    5073600*li4half*z2^2 + 211400*ln2^4*z2^2 - 2394000*ln2^2*z2^3 - 
    237628*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 + 672000*ln2^3*z2*z3 + 
    16090200*ln2*z2^2*z3 + 756000*ln2^2*z3^2 + 9397500*z2*z3^2 + 
    16128000*ln2*z2*z5 - 42763875*z3*z5)/4704000, 
 H[0, 0, 0, -1, 1, 1, 0, 0, 1] -> 
  (-21525*s8a - 126000*s8b - 37200*li4half*z2^2 - 1550*ln2^4*z2^2 + 
    36300*ln2^2*z2^3 + 20811*z2^4 - 9000*ln2*z2^2*z3 - 9000*z2*z3^2 + 
    10500*z3*z5)/12000, H[0, 0, 0, -1, 1, 1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    179424000*ln2^2*s6 + 76608000*ln2*s7a - 36288000*ln2*s7b + 
    265546575*s8a + 1401120000*s8b + 205632000*s8c + 133056000*s8d - 
    28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 428400000*s6*z2 - 
    33364800*li4half*z2^2 + 2137800*ln2^4*z2^2 + 79808400*ln2^2*z2^3 + 
    37129332*z2^4 - 308448000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    6686400*ln2^5*z3 - 50400000*ln2^3*z2*z3 - 247476600*ln2*z2^2*z3 + 
    66843000*ln2^2*z3^2 - 211884750*z2*z3^2 + 109368000*ln2^3*z5 - 
    506772000*ln2*z2*z5 + 402199875*z3*z5 - 427423500*ln2*z7)/14112000, 
 H[0, 0, 0, -1, 1, 1, -1, 1, 1] -> 
  (7056000*li4half^2 + 588000*li4half*ln2^4 + 12250*ln2^8 + 
    8568000*ln2^2*s6 - 28494900*s8a - 116172000*s8b - 6552000*s8c - 
    25200000*s8d + 42336000*li6half*z2 + 42336000*li5half*ln2*z2 + 
    17640000*li4half*ln2^2*z2 + 441000*ln2^6*z2 + 90972000*s6*z2 - 
    7156800*li4half*z2^2 - 1841700*ln2^4*z2^2 - 6892200*ln2^2*z2^3 + 
    8119791*z2^4 + 11592000*li5half*z3 - 96600*ln2^5*z3 + 
    4935000*ln2^3*z2*z3 + 10974600*ln2*z2^2*z3 + 5110875*ln2^2*z3^2 + 
    4858875*z2*z3^2 - 42525000*ln2*z2*z5 - 61818750*z3*z5)/7056000, 
 H[0, 0, 0, -1, 1, 1, -1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    1209600*ln2^2*s6 - 1343475*s8a - 13910400*s8b - 2419200*s8c + 
    2419200*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    2721600*s6*z2 + 9092160*li4half*z2^2 - 326760*ln2^4*z2^2 - 
    927360*ln2^2*z2^3 - 3437604*z2^4 + 12096000*li5half*z3 - 
    100800*ln2^5*z3 + 1008000*ln2^3*z2*z3 + 12360600*ln2*z2^2*z3 + 
    340200*ln2^2*z3^2 - 214200*z2*z3^2 + 7257600*ln2*z2*z5 - 7813575*z3*z5)/
   2822400, H[0, 0, 0, -1, 1, 1, -1, -1, 1] -> 
  (2232000*ln2^2*s6 - 1728000*ln2*s7a + 3312000*ln2*s7b - 5988150*s8a - 
    22176000*s8b - 4032000*s8c - 4032000*s8d + 8064000*li6half*z2 - 
    3024000*li4half*ln2^2*z2 - 114800*ln2^6*z2 + 17640000*s6*z2 - 
    1310400*li4half*z2^2 + 407400*ln2^4*z2^2 - 734400*ln2^2*z2^3 + 
    2159136*z2^4 + 13104000*li5half*z3 + 3528000*li4half*ln2*z3 + 
    37800*ln2^5*z3 - 546000*ln2^3*z2*z3 + 6122700*ln2*z2^2*z3 - 
    2790000*ln2^2*z3^2 + 3677625*z2*z3^2 - 4882500*ln2^3*z5 + 
    2209500*ln2*z2*z5 - 30090375*z3*z5 - 11691000*ln2*z7)/2016000, 
 H[0, 0, 0, -1, 1, 0, 1, 1, 1] -> (326025*s8a + 3780000*s8b - 1680000*s6*z2 - 
    84000*li4half*z2^2 - 3500*ln2^4*z2^2 + 21000*ln2^2*z2^3 - 194336*z2^4 - 
    693000*ln2*z2^2*z3 - 262500*z2*z3^2 + 1850625*z3*z5)/336000, 
 H[0, 0, 0, -1, 1, 0, 1, 0, 1] -> 
  (18900*s8a - 235200*s8b - 114240*li4half*z2^2 - 4760*ln2^4*z2^2 + 
    28560*ln2^2*z2^3 + 39843*z2^4 + 50400*ln2*z2^2*z3 + 50400*z2*z3^2 - 
    168000*z3*z5)/33600, H[0, 0, 0, -1, 1, 0, 1, -1, 1] -> 
  (47712000*ln2^2*s6 - 9408000*ln2*s7a + 28224000*ln2*s7b - 91123200*s8a - 
    425208000*s8b - 76608000*s8c - 36288000*s8d + 124320000*s6*z2 - 
    5140800*li4half*z2^2 - 214200*ln2^4*z2^2 - 18253200*ln2^2*z2^3 - 
    1932607*z2^4 + 100800000*li5half*z3 + 16464000*li4half*ln2*z3 - 
    154000*ln2^5*z3 + 4284000*ln2^3*z2*z3 + 67680900*ln2*z2^2*z3 - 
    987000*ln2^2*z3^2 + 81159750*z2*z3^2 - 36456000*ln2^3*z5 + 
    171097500*ln2*z2*z5 - 192304875*z3*z5 + 105307125*ln2*z7)/2352000, 
 H[0, 0, 0, -1, 1, 0, 0, 1, 1] -> (-84525*s8a - 1176000*s8b + 672000*s6*z2 - 
    16418*z2^4 + 37800*ln2*z2^2*z3 - 182700*z2*z3^2 + 511875*z3*z5)/67200, 
 H[0, 0, 0, -1, 1, 0, 0, 0, 1] -> (53550*s8a + 560000*s8b - 41827*z2^4 - 
    257250*z3*z5)/28000, H[0, 0, 0, -1, 1, 0, 0, -1, 1] -> 
  (-85050*s8a - 1008000*s8b - 67200*s6*z2 - 198064*z2^4 - 37800*ln2*z2^2*z3 + 
    3150*z2*z3^2 + 882000*z3*z5 + 2333625*ln2*z7)/67200, 
 H[0, 0, 0, -1, 1, 0, -1, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    18144000*ln2^2*s6 + 35124075*s8a + 175392000*s8b + 20160000*s8c + 
    28224000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    80640000*s6*z2 + 7660800*li4half*z2^2 - 184800*ln2^4*z2^2 + 
    10526400*ln2^2*z2^3 - 6640188*z2^4 - 24192000*li5half*z3 + 
    201600*ln2^5*z3 - 2016000*ln2^3*z2*z3 - 19164600*ln2*z2^2*z3 - 
    1134000*ln2^2*z3^2 - 25389000*z2*z3^2 - 52920000*ln2*z2*z5 + 
    63543375*z3*z5)/2016000, H[0, 0, 0, -1, 1, 0, -1, 0, 1] -> 
  (146475*s8a + 2184000*s8b - 672000*s6*z2 + 940800*li4half*z2^2 + 
    39200*ln2^4*z2^2 - 235200*ln2^2*z2^3 - 333024*z2^4 + 189000*ln2*z2^2*z3 + 
    330750*z2*z3^2 - 685125*z3*z5)/168000, H[0, 0, 0, -1, 1, 0, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    102816000*ln2^2*s6 + 56448000*ln2*s7a - 169344000*ln2*s7b + 
    258314175*s8a + 1238832000*s8b + 205632000*s8c + 133056000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 470736000*s6*z2 + 
    88704000*li4half*z2^2 + 168000*ln2^4*z2^2 + 10785600*ln2^2*z2^3 - 
    39730332*z2^4 - 266112000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    1898400*ln2^5*z3 + 2520000*ln2^3*z2*z3 - 127197000*ln2*z2^2*z3 + 
    29736000*ln2^2*z3^2 - 211884750*z2*z3^2 + 218736000*ln2^3*z5 - 
    112392000*ln2*z2*z5 + 564543000*z3*z5 - 561834000*ln2*z7)/14112000, 
 H[0, 0, 0, -1, 1, -1, 1, 1, 1] -> (-37296000*ln2^2*s6 + 114091425*s8a + 
    571788000*s8b + 74592000*s8c + 31248000*s8d + 28224000*li6half*z2 + 
    39200*ln2^6*z2 - 147168000*s6*z2 - 8568000*li4half*z2^2 - 
    4032000*ln2^4*z2^2 + 12159000*ln2^2*z2^3 - 3687732*z2^4 - 
    20160000*li5half*z3 + 168000*ln2^5*z3 - 9618000*ln2^3*z2*z3 - 
    96453000*ln2*z2^2*z3 - 10489500*ln2^2*z3^2 - 104674500*z2*z3^2 + 
    11392500*ln2^3*z5 - 257953500*ln2*z2*z5 + 199584000*z3*z5)/14112000, 
 H[0, 0, 0, -1, 1, -1, 1, 0, 1] -> (4256000*ln2^2*s6 - 11072950*s8a - 
    57960000*s8b - 8512000*s8c - 4032000*s8d + 14336000*s6*z2 - 
    806400*li4half*z2^2 - 33600*ln2^4*z2^2 - 1139600*ln2^2*z2^3 - 
    445017*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 + 672000*ln2^3*z2*z3 + 
    11092200*ln2*z2^2*z3 + 1197000*ln2^2*z3^2 + 9177000*z2*z3^2 + 
    27434750*ln2*z2*z5 - 17816750*z3*z5)/784000, 
 H[0, 0, 0, -1, 1, -1, 1, -1, 1] -> 
  (9600*ln2^2*s6 - 9600*ln2*s7a - 177600*ln2*s7b + 16800*ln2^4*z2^2 + 
    2640*ln2^2*z2^3 + 33636*z2^4 + 50400*ln2^3*z2*z3 + 175380*ln2*z2^2*z3 - 
    12000*ln2^2*z3^2 + 35700*z2*z3^2 + 108500*ln2^3*z5 + 878700*ln2*z2*z5 - 
    257775*z3*z5 - 2012700*ln2*z7)/67200, H[0, 0, 0, -1, 1, -1, 0, 1, 1] -> 
  (-1075200*ln2^2*s6 - 1314600*s8a - 13977600*s8b + 2150400*s8c - 
    2150400*s8d + 9004800*s6*z2 + 887040*li4half*z2^2 + 36960*ln2^4*z2^2 + 
    228480*ln2^2*z2^3 + 1110614*z2^4 - 3225600*li5half*z3 + 26880*ln2^5*z3 - 
    268800*ln2^3*z2*z3 - 350280*ln2*z2^2*z3 - 302400*ln2^2*z3^2 + 
    210000*z2*z3^2 - 1894200*ln2*z2*z5 - 3037125*z3*z5)/940800, 
 H[0, 0, 0, -1, 1, -1, 0, 0, 1] -> 
  (12915*s8a + 78400*s8b - 20160*ln2^2*z2^3 - 3932*z2^4 - 10080*ln2*z2^2*z3 - 
    2520*z2*z3^2 + 7350*z3*z5)/4480, H[0, 0, 0, -1, 1, -1, 0, -1, 1] -> 
  (50400000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 93140775*s8a - 
    449904000*s8b - 76608000*s8c - 36288000*s8d + 123144000*s6*z2 - 
    3964800*li4half*z2^2 - 165200*ln2^4*z2^2 - 20277600*ln2^2*z2^3 - 
    8427599*z2^4 + 86688000*li5half*z3 - 722400*ln2^5*z3 + 
    7224000*ln2^3*z2*z3 + 66557400*ln2*z2^2*z3 - 4347000*ln2^2*z3^2 + 
    79212000*z2*z3^2 - 36456000*ln2^3*z5 + 159332250*ln2*z2*z5 - 
    145614000*z3*z5 + 186566625*ln2*z7)/2352000, 
 H[0, 0, 0, -1, 1, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    33600000*ln2^2*s6 + 42025200*s8a + 113568000*s8b + 43680000*s8c + 
    8064000*s8d + 56448000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 431200*ln2^6*z2 - 13776000*s6*z2 + 
    18547200*li4half*z2^2 + 1066800*ln2^4*z2^2 + 12910800*ln2^2*z2^3 - 
    7883388*z2^4 + 336000*li5half*z3 - 2800*ln2^5*z3 + 28000*ln2^3*z2*z3 - 
    11512200*ln2*z2^2*z3 - 10479000*ln2^2*z3^2 - 34083000*z2*z3^2 - 
    7595000*ln2^3*z5 - 95980500*ln2*z2*z5 + 2197125*z3*z5)/9408000, 
 H[0, 0, 0, -1, 1, -1, -1, 0, 1] -> 
  (-16128000*ln2^2*s6 + 51715650*s8a + 277200000*s8b + 32256000*s8c + 
    24192000*s8d - 82488000*s6*z2 + 21302400*li4half*z2^2 + 
    887600*ln2^4*z2^2 + 546000*ln2^2*z2^3 - 9973746*z2^4 - 
    34272000*li5half*z3 + 285600*ln2^5*z3 - 2856000*ln2^3*z2*z3 - 
    32772600*ln2*z2^2*z3 - 4536000*ln2^2*z3^2 - 37385250*z2*z3^2 - 
    108160500*ln2*z2*z5 + 91153125*z3*z5)/4704000, 
 H[0, 0, 0, -1, 1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    199584000*ln2^2*s6 - 70560000*ln2*s7a - 28224000*ln2*s7b - 
    220890600*s8a - 1085112000*s8b - 187488000*s8c - 66528000*s8d + 
    56448000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 1842400*ln2^6*z2 + 
    228312000*s6*z2 + 89712000*li4half*z2^2 - 6258000*ln2^4*z2^2 - 
    110703600*ln2^2*z2^3 - 88111836*z2^4 + 253008000*li5half*z3 - 
    148176000*li4half*ln2*z3 - 8282400*ln2^5*z3 + 52836000*ln2^3*z2*z3 + 
    257329800*ln2*z2^2*z3 - 48825000*ln2^2*z3^2 + 171486000*z2*z3^2 - 
    18228000*ln2^3*z5 + 644049000*ln2*z2*z5 - 241975125*z3*z5 + 
    369502875*ln2*z7)/28224000, H[0, 0, 0, -1, 0, 1, 1, 1, 1] -> 
  (-498225*s8a + 504000*li4half*z2^2 + 21000*ln2^4*z2^2 - 126000*ln2^2*z2^3 - 
    167596*z2^4 + 441000*ln2*z2^2*z3 - 493500*z2*z3^2 + 1183875*z3*z5)/
   672000, H[0, 0, 0, -1, 0, 1, 1, 0, 1] -> 
  (52150*s8a + 27959*z2^4 - 208250*z3*z5)/56000, 
 H[0, 0, 0, -1, 0, 1, 1, -1, 1] -> (-14112000*ln2^2*s6 + 6048000*ln2*s7a - 
    3360000*ln2*s7b + 23715300*s8a + 113904000*s8b + 16128000*s8c + 
    12096000*s8d - 41244000*s6*z2 + 772800*li4half*z2^2 + 32200*ln2^4*z2^2 + 
    5489400*ln2^2*z2^3 + 159023*z2^4 - 31248000*li5half*z3 + 
    260400*ln2^5*z3 - 2604000*ln2^3*z2*z3 - 19742100*ln2*z2^2*z3 + 
    5292000*ln2^2*z3^2 - 16120125*z2*z3^2 + 9114000*ln2^3*z5 - 
    23446500*ln2*z2*z5 + 43656375*z3*z5 - 42963375*ln2*z7)/2352000, 
 H[0, 0, 0, -1, 0, 1, 0, 1, 1] -> (-1425*s8a - 72000*li4half*z2^2 - 
    3000*ln2^4*z2^2 + 18000*ln2^2*z2^3 + 14117*z2^4 - 63000*ln2*z2^2*z3 + 
    22500*z2*z3^2 + 40875*z3*z5)/24000, H[0, 0, 0, -1, 0, 1, 0, 0, 1] -> 
  (-9*(-2100*s8a + 1859*z2^4 - 10500*z3*z5))/28000, 
 H[0, 0, 0, -1, 0, 1, 0, -1, 1] -> (-61425*s8a - 1176000*s8b - 222008*z2^4 - 
    31500*z2*z3^2 + 1047375*z3*z5 + 2333625*ln2*z7)/168000, 
 H[0, 0, 0, -1, 0, 1, -1, 1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    13305600*ln2^2*s6 - 22672125*s8a - 113500800*s8b - 15321600*s8c - 
    18547200*s8d - 5644800*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 
    45561600*s6*z2 - 10483200*li4half*z2^2 + 268800*ln2^4*z2^2 - 
    6239520*ln2^2*z2^3 + 3513516*z2^4 + 14515200*li5half*z3 - 
    120960*ln2^5*z3 + 1209600*ln2^3*z2*z3 + 11234160*ln2*z2^2*z3 - 
    1814400*ln2^2*z3^2 + 21987000*z2*z3^2 + 48743100*ln2*z2*z5 - 
    41904450*z3*z5)/2822400, H[0, 0, 0, -1, 0, 1, -1, 0, 1] -> 
  (-85050*s8a - 1008000*s8b + 336000*s6*z2 - 940800*li4half*z2^2 - 
    39200*ln2^4*z2^2 + 235200*ln2^2*z2^3 + 323772*z2^4 - 567000*ln2*z2^2*z3 - 
    236250*z2*z3^2 + 685125*z3*z5)/168000, H[0, 0, 0, -1, 0, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 16128000*ln2*s7a + 72576000*ln2*s7b - 3233475*s8a - 
    104832000*s8b - 12096000*s8c + 12096000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 6552000*s6*z2 - 69552000*li4half*z2^2 + 
    630000*ln2^4*z2^2 + 36565200*ln2^2*z2^3 - 5500596*z2^4 - 
    66528000*li5half*z3 + 98784000*li4half*ln2*z3 + 4670400*ln2^5*z3 - 
    30240000*ln2^3*z2*z3 - 86335200*ln2*z2^2*z3 + 41706000*ln2^2*z3^2 - 
    5260500*z2*z3^2 - 54684000*ln2^3*z5 - 178668000*ln2*z2*z5 + 
    177463125*z3*z5 + 507449250*ln2*z7)/14112000, 
 H[0, 0, 0, -1, 0, 0, 1, 1, 1] -> (36225*s8a + 33600*li4half*z2^2 + 
    1400*ln2^4*z2^2 - 8400*ln2^2*z2^3 - 1096*z2^4 + 29400*ln2*z2^2*z3 + 
    23100*z2*z3^2 - 145075*z3*z5)/22400, H[0, 0, 0, -1, 0, 0, 1, 0, 1] -> 
  (-3*(24150*s8a + 6149*z2^4 - 54250*z3*z5))/28000, 
 H[0, 0, 0, -1, 0, 0, 1, -1, 1] -> (-5175*s8a - 8000*s8b + 9600*s6*z2 + 
    628*z2^4 - 1800*ln2*z2^2*z3 - 4050*z2*z3^2 - 45000*ln2*z2*z5 + 
    10800*z3*z5 + 66675*ln2*z7)/3200, H[0, 0, 0, -1, 0, 0, 0, 1, 1] -> 
  (41*z2^4)/5600, H[0, 0, 0, -1, 0, 0, 0, 0, 1] -> (381*z2^4)/80, 
 H[0, 0, 0, -1, 0, 0, 0, -1, 1] -> (53550*s8a + 560000*s8b + 93953*z2^4 - 
    420000*z3*z5 - 1111250*ln2*z7)/28000, H[0, 0, 0, -1, 0, 0, -1, 1, 1] -> 
  (-127575*s8a - 896000*s8b + 672000*s6*z2 + 30518*z2^4 + 63000*ln2*z2^2*z3 - 
    220500*z2*z3^2 - 378000*ln2*z2*z5 + 433125*z3*z5)/112000, 
 H[0, 0, 0, -1, 0, 0, -1, 0, 1] -> (3*(6300*s8a - 1237*z2^4))/28000, 
 H[0, 0, 0, -1, 0, 0, -1, -1, 1] -> (88900*s8a + 1064000*s8b + 188164*z2^4 + 
    28000*z2*z3^2 - 899500*z3*z5 - 2111375*ln2*z7)/112000, 
 H[0, 0, 0, -1, 0, -1, 1, 1, 1] -> (134475*s8a + 1344000*s8b + 384000*s8d - 
    1104000*s6*z2 + 336000*li4half*z2^2 + 14000*ln2^4*z2^2 + 
    34800*ln2^2*z2^3 - 106304*z2^4 - 384000*li5half*z3 + 3200*ln2^5*z3 - 
    32000*ln2^3*z2*z3 + 169800*ln2*z2^2*z3 + 196500*z2*z3^2 - 
    124000*ln2^3*z5 + 372000*ln2*z2*z5 - 671625*z3*z5)/96000, 
 H[0, 0, 0, -1, 0, -1, 1, 0, 1] -> 
  (18900*s8a + 252000*s8b - 142800*li4half*z2^2 - 5950*ln2^4*z2^2 + 
    35700*ln2^2*z2^3 + 15234*z2^4 - 189000*ln2*z2^2*z3 - 162750*ln2*z2*z5 + 
    291375*z3*z5)/42000, H[0, 0, 0, -1, 0, -1, 1, -1, 1] -> 
  (9408000*ln2^2*s6 + 3360000*ln2*s7a + 12768000*ln2*s7b - 31201275*s8a - 
    149184000*s8b - 25536000*s8c - 12096000*s8d + 44184000*s6*z2 - 
    3595200*li4half*z2^2 - 149800*ln2^4*z2^2 - 5812800*ln2^2*z2^3 - 
    2020379*z2^4 + 38304000*li5half*z3 + 16464000*li4half*ln2*z3 + 
    366800*ln2^5*z3 - 924000*ln2^3*z2*z3 + 14023800*ln2*z2^2*z3 + 
    7791000*ln2^2*z3^2 + 24260250*z2*z3^2 - 6076000*ln2^3*z5 + 
    25173750*ln2*z2*z5 - 51245250*z3*z5 + 113266125*ln2*z7)/2352000, 
 H[0, 0, 0, -1, 0, -1, 0, 1, 1] -> 
  (51975*s8a + 134400*s6*z2 - 100800*li4half*z2^2 - 4200*ln2^4*z2^2 + 
    25200*ln2^2*z2^3 - 5338*z2^4 - 88200*ln2*z2^2*z3 - 170100*z2*z3^2 - 
    260400*ln2*z2*z5 + 615825*z3*z5)/33600, H[0, 0, 0, -1, 0, -1, 0, 0, 1] -> 
  (-3*(24150*s8a - 33891*z2^4 + 175000*z3*z5))/28000, 
 H[0, 0, 0, -1, 0, -1, 0, -1, 1] -> (-2700*s8a + 312000*s8b + 48000*s6*z2 + 
    72683*z2^4 - 3000*z2*z3^2 - 93000*ln2*z2*z5 - 295500*z3*z5 - 
    619125*ln2*z7)/24000, H[0, 0, 0, -1, 0, -1, -1, 1, 1] -> 
  (-12096000*ln2^2*s6 + 19869675*s8a + 139104000*s8b + 5376000*s8c + 
    32256000*s8d - 57456000*s6*z2 - 840000*li4half*z2^2 - 35000*ln2^4*z2^2 + 
    9660000*ln2^2*z2^3 - 6660172*z2^4 - 45696000*li5half*z3 + 
    380800*ln2^5*z3 - 3808000*ln2^3*z2*z3 - 25027800*ln2*z2^2*z3 + 
    6888000*ln2^2*z3^2 - 31153500*z2*z3^2 + 6076000*ln2^3*z5 - 
    54936000*ln2*z2*z5 + 120673875*z3*z5)/4704000, 
 H[0, 0, 0, -1, 0, -1, -1, 0, 1] -> 
  (-54950*s8a - 112000*s6*z2 + 102693*z2^4 + 91000*z2*z3^2 + 
    217000*ln2*z2*z5 - 791000*z3*z5)/56000, 
 H[0, 0, 0, -1, 0, -1, -1, -1, 1] -> 
  (-6720000*ln2^2*s6 + 13440000*ln2*s7a - 5376000*ln2*s7b + 13559700*s8a + 
    126168000*s8b + 5376000*s8c + 13440000*s8d - 36288000*s6*z2 + 
    2688000*li4half*z2^2 + 112000*ln2^4*z2^2 + 2016000*ln2^2*z2^3 + 
    7735552*z2^4 - 26880000*li5half*z3 + 224000*ln2^5*z3 - 
    2240000*ln2^3*z2*z3 - 11457600*ln2*z2^2*z3 + 8400000*ln2^2*z3^2 - 
    3444000*z2*z3^2 + 12152000*ln2^3*z5 + 252000*ln2*z2*z5 - 18774000*z3*z5 - 
    119555625*ln2*z7)/4704000, H[0, 0, 0, -1, -1, 1, 1, 1, 1] -> 
  (-105525*s8a - 940800*s8b - 201600*s8d - 201600*li6half*z2 - 280*ln2^6*z2 + 
    453600*s6*z2 - 62160*li4half*z2^2 + 4760*ln2^4*z2^2 + 14280*ln2^2*z2^3 + 
    80412*z2^4 + 100800*li5half*z3 - 840*ln2^5*z3 + 30240*ln2*z2^2*z3 + 
    71400*z2*z3^2 - 124425*z3*z5)/33600, H[0, 0, 0, -1, -1, 1, 1, 0, 1] -> 
  (-2688000*ln2^2*s6 + 22331925*s8a + 176736000*s8b + 5376000*s8c + 
    32256000*s8d - 83328000*s6*z2 + 25737600*li4half*z2^2 + 
    1072400*ln2^4*z2^2 - 2662800*ln2^2*z2^3 - 10673412*z2^4 - 
    26880000*li5half*z3 + 224000*ln2^5*z3 - 2240000*ln2^3*z2*z3 - 
    5124000*ln2*z2^2*z3 - 756000*ln2^2*z3^2 - 12558000*z2*z3^2 - 
    16128000*ln2*z2*z5 + 20603625*z3*z5)/4704000, 
 H[0, 0, 0, -1, -1, 1, 1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    32760000*ln2^2*s6 - 35280000*ln2*s7a - 14112000*ln2*s7b + 15283800*s8a + 
    118944000*s8b + 5040000*s8c + 16128000*s8d - 56448000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 39200*ln2^6*z2 - 
    81648000*s6*z2 + 29332800*li4half*z2^2 - 1129800*ln2^4*z2^2 - 
    19706400*ln2^2*z2^3 - 619182*z2^4 - 18144000*li5half*z3 - 
    74088000*li4half*ln2*z3 - 2935800*ln2^5*z3 + 17010000*ln2^3*z2*z3 + 
    30807000*ln2*z2^2*z3 - 44808750*ln2^2*z3^2 + 5315625*z2*z3^2 - 
    20506500*ln2^3*z5 + 126882000*ln2*z2*z5 + 1582875*z3*z5 - 
    147790125*ln2*z7)/14112000, H[0, 0, 0, -1, -1, 1, 0, 1, 1] -> 
  (2688000*ln2^2*s6 - 620025*s8a + 20832000*s8b - 5376000*s8c + 5376000*s8d - 
    22512000*s6*z2 - 12096000*li4half*z2^2 - 504000*ln2^4*z2^2 + 
    1898400*ln2^2*z2^3 - 62264*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 + 
    672000*ln2^3*z2*z3 - 5077800*ln2*z2^2*z3 + 756000*ln2^2*z3^2 + 
    7927500*z2*z3^2 + 16128000*ln2*z2*z5 - 2890125*z3*z5)/4704000, 
 H[0, 0, 0, -1, -1, 1, 0, 0, 1] -> 
  (-155925*s8a - 2688000*s8b - 1041600*li4half*z2^2 - 43400*ln2^4*z2^2 + 
    1016400*ln2^2*z2^3 + 272502*z2^4 - 756000*ln2*z2^2*z3 - 126000*z2*z3^2 + 
    1740375*z3*z5)/336000, H[0, 0, 0, -1, -1, 1, 0, -1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 - 5126400*ln2^2*s6 + 
    3110400*ln2*s7a - 115200*ln2*s7b + 6925275*s8a + 36086400*s8b + 
    4032000*s8c + 5644800*s8d - 806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 
    15825600*s6*z2 - 1149120*li4half*z2^2 + 52920*ln2^4*z2^2 + 
    2536560*ln2^2*z2^3 - 618036*z2^4 - 12499200*li5half*z3 + 
    2822400*li4half*ln2*z3 + 221760*ln2^5*z3 - 1747200*ln2^3*z2*z3 - 
    8066160*ln2*z2^2*z3 + 3321000*ln2^2*z3^2 - 5235300*z2*z3^2 + 
    3124800*ln2^3*z5 - 11656800*ln2*z2*z5 + 20263950*z3*z5 + 1932750*ln2*z7)/
   403200, H[0, 0, 0, -1, -1, 1, -1, 1, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 
    3024000*ln2^2*s6 + 6180300*s8a + 42336000*s8b + 4032000*s8c + 
    8064000*li6half*z2 + 12096000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 
    78400*ln2^6*z2 - 6048000*s6*z2 - 12700800*li4half*z2^2 - 
    2587200*ln2^4*z2^2 + 1029600*ln2^2*z2^3 + 1924848*z2^4 - 
    17136000*li5half*z3 + 142800*ln2^5*z3 + 2604000*ln2^3*z2*z3 - 
    15409800*ln2*z2^2*z3 - 4882500*ln2^2*z3^2 - 3244500*z2*z3^2 - 
    26365500*ln2*z2*z5 + 19900125*z3*z5)/4032000, 
 H[0, 0, 0, -1, -1, 1, -1, 0, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 + 
    1532160*ln2^2*s6 - 5429655*s8a - 30602880*s8b - 3064320*s8c - 
    3709440*s8d + 1128960*li4half*ln2^2*z2 + 47040*ln2^6*z2 + 
    11511360*s6*z2 - 995904*li4half*z2^2 - 182616*ln2^4*z2^2 - 
    551376*ln2^2*z2^3 + 1206468*z2^4 + 9112320*li5half*z3 - 75936*ln2^5*z3 + 
    759360*ln2^3*z2*z3 + 4197816*ln2*z2^2*z3 + 430920*ln2^2*z3^2 + 
    2770110*z2*z3^2 + 9192960*ln2*z2*z5 - 12682845*z3*z5)/564480, 
 H[0, 0, 0, -1, -1, 1, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    66528000*ln2^2*s6 + 36288000*ln2*s7a + 12768000*ln2*s7b + 62262900*s8a + 
    244272000*s8b + 36960000*s8c + 33600000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 90720000*s6*z2 - 36556800*li4half*z2^2 + 
    5532800*ln2^4*z2^2 + 35145600*ln2^2*z2^3 + 3195564*z2^4 - 
    97776000*li5half*z3 + 65856000*li4half*ln2*z3 + 3558800*ln2^5*z3 - 
    31668000*ln2^3*z2*z3 - 89040000*ln2*z2^2*z3 + 50232000*ln2^2*z3^2 - 
    51423750*z2*z3^2 + 22785000*ln2^3*z5 - 147651000*ln2*z2*z5 + 
    186886875*z3*z5 + 60107250*ln2*z7)/9408000, 
 H[0, 0, 0, -1, -1, 0, 1, 1, 1] -> (25425*s8a + 9628*z2^4 + 42000*z2*z3^2 - 
    157875*z3*z5)/96000, H[0, 0, 0, -1, -1, 0, 1, 0, 1] -> 
  (-58275*s8a - 554*z2^4 + 42000*z2*z3^2 - 28875*z3*z5)/56000, 
 H[0, 0, 0, -1, -1, 0, 1, -1, 1] -> (-1075200*ln2*s7a - 1075200*ln2*s7b - 
    197400*s8a + 134400*s8b + 2150400*s8c - 2150400*s8d + 4771200*s6*z2 + 
    887040*li4half*z2^2 + 36960*ln2^4*z2^2 - 463680*ln2^2*z2^3 + 
    1155526*z2^4 + 4300800*li5half*z3 - 35840*ln2^5*z3 + 358400*ln2^3*z2*z3 + 
    852600*ln2*z2^2*z3 - 1646400*ln2^2*z3^2 - 664650*z2*z3^2 - 
    6600300*ln2*z2*z5 - 7866075*z3*z5 - 1100400*ln2*z7)/940800, 
 H[0, 0, 0, -1, -1, 0, 0, 1, 1] -> (108675*s8a + 252000*li4half*z2^2 + 
    10500*ln2^4*z2^2 - 63000*ln2^2*z2^3 - 93412*z2^4 + 220500*ln2*z2^2*z3 - 
    141750*z2*z3^2 + 149625*z3*z5)/168000, H[0, 0, 0, -1, -1, 0, 0, 0, 1] -> 
  (-49*z2^4)/800, H[0, 0, 0, -1, -1, 0, 0, -1, 1] -> 
  (219975*s8a + 840000*s8b + 46106*z2^4 - 210000*z2*z3^2 + 210000*z3*z5 - 
    1666875*ln2*z7)/336000, H[0, 0, 0, -1, -1, 0, -1, 1, 1] -> 
  (2688000*ln2^2*s6 - 2655975*s8a - 16800000*s8b - 5376000*s8c + 
    5376000*s8d - 6048000*s6*z2 + 5073600*li4half*z2^2 + 211400*ln2^4*z2^2 - 
    1134000*ln2^2*z2^3 - 3696496*z2^4 - 10752000*li5half*z3 + 
    89600*ln2^5*z3 - 896000*ln2^3*z2*z3 + 7652400*ln2*z2^2*z3 + 
    4872000*ln2^2*z3^2 + 651000*z2*z3^2 + 18994500*ln2*z2*z5 + 
    10211250*z3*z5)/4704000, H[0, 0, 0, -1, -1, 0, -1, 0, 1] -> 
  (34475*s8a - 74269*z2^4 + 105000*z2*z3^2 + 206500*z3*z5)/56000, 
 H[0, 0, 0, -1, -1, 0, -1, -1, 1] -> 
  (-2688000*ln2^2*s6 + 5376000*ln2*s7a + 5376000*ln2*s7b - 8660925*s8a - 
    7392000*s8b - 5376000*s8c + 5376000*s8d - 10752000*s6*z2 + 
    1075200*li4half*z2^2 + 44800*ln2^4*z2^2 + 806400*ln2^2*z2^3 - 
    2052308*z2^4 - 10752000*li5half*z3 + 89600*ln2^5*z3 - 
    896000*ln2^3*z2*z3 - 2654400*ln2*z2^2*z3 + 3360000*ln2^2*z3^2 + 
    6972000*z2*z3^2 + 336000*ln2*z2*z5 + 3118500*z3*z5 + 52174500*ln2*z7)/
   4704000, H[0, 0, 0, -1, -1, -1, 1, 1, 1] -> 
  (-211050*s8a - 1881600*s8b - 403200*s8d - 806400*li6half*z2 - 
    1120*ln2^6*z2 + 604800*s6*z2 - 13440*li4half*z2^2 + 28840*ln2^4*z2^2 + 
    63840*ln2^2*z2^3 + 221448*z2^4 + 403200*li5half*z3 - 3360*ln2^5*z3 - 
    33600*ln2^3*z2*z3 + 221760*ln2*z2^2*z3 + 394800*z2*z3^2 - 
    65100*ln2^3*z5 + 195300*ln2*z2*z5 - 1157625*z3*z5)/134400, 
 H[0, 0, 0, -1, -1, -1, 1, 0, 1] -> 
  (1196475*s8a + 13440000*s8b + 2688000*s8d - 6720000*s6*z2 + 
    436800*li4half*z2^2 + 18200*ln2^4*z2^2 + 268800*ln2^2*z2^3 - 
    804504*z2^4 - 2688000*li5half*z3 + 22400*ln2^5*z3 - 224000*ln2^3*z2*z3 - 
    1646400*ln2*z2^2*z3 - 126000*z2*z3^2 - 976500*ln2*z2*z5 + 4197375*z3*z5)/
   672000, H[0, 0, 0, -1, -1, -1, 1, -1, 1] -> 
  (70560000*ln2^2*s6 - 24192000*ln2*s7a + 46368000*ln2*s7b - 140004900*s8a - 
    494424000*s8b - 92736000*s8c - 34272000*s8d - 56448000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 627200*ln2^6*z2 + 107352000*s6*z2 + 
    19252800*li4half*z2^2 - 8605800*ln2^4*z2^2 - 45007200*ln2^2*z2^3 - 
    1173384*z2^4 + 167328000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    663600*ln2^5*z3 + 22764000*ln2^3*z2*z3 + 70736400*ln2*z2^2*z3 - 
    17199000*ln2^2*z3^2 + 124236000*z2*z3^2 - 54684000*ln2^3*z5 + 
    142443000*ln2*z2*z5 - 317142000*z3*z5 + 501409125*ln2*z7)/28224000, 
 H[0, 0, 0, -1, -1, -1, 0, 1, 1] -> 
  (80775*s8a + 144000*s6*z2 - 72000*li4half*z2^2 - 3000*ln2^4*z2^2 + 
    18000*ln2^2*z2^3 - 26236*z2^4 - 63000*ln2*z2^2*z3 - 223500*z2*z3^2 - 
    279000*ln2*z2*z5 + 755250*z3*z5)/96000, 
 H[0, 0, 0, -1, -1, -1, 0, 0, 1] -> 
  (-108675*s8a + 168032*z2^4 - 56000*z2*z3^2 - 787500*z3*z5)/112000, 
 H[0, 0, 0, -1, -1, -1, 0, -1, 1] -> 
  (817950*s8a + 4536000*s8b + 504000*s6*z2 + 632512*z2^4 - 798000*z2*z3^2 - 
    976500*ln2*z2*z5 - 1186500*z3*z5 - 9001125*ln2*z7)/672000, 
 H[0, 0, 0, -1, -1, -1, -1, 1, 1] -> 
  (-43200*ln2^2*s6 + 60300*s8a + 345600*s8b + 115200*s8d - 
    115200*li6half*z2 - 160*ln2^6*z2 - 216000*s6*z2 + 2880*li4half*z2^2 + 
    4320*ln2^4*z2^2 + 47520*ln2^2*z2^3 - 20016*z2^4 - 172800*li5half*z3 + 
    1440*ln2^5*z3 - 28800*ln2^3*z2*z3 - 51840*ln2*z2^2*z3 + 
    54000*ln2^2*z3^2 - 115200*z2*z3^2 + 27900*ln2^3*z5 - 172800*ln2*z2*z5 + 
    525375*z3*z5)/57600, H[0, 0, 0, -1, -1, -1, -1, 0, 1] -> 
  (-36925*s8a - 168000*s6*z2 + 45092*z2^4 + 322000*z2*z3^2 + 
    325500*ln2*z2*z5 - 938000*z3*z5)/224000, 
 H[0, 0, 0, -1, -1, -1, -1, -1, 1] -> 
  (-33600*ln2^2*s6 + 67200*ln2*s7a + 35175*s8a + 425600*s8b + 67200*s8d - 
    168000*s6*z2 + 13440*li4half*z2^2 + 560*ln2^4*z2^2 + 10080*ln2^2*z2^3 + 
    12428*z2^4 - 134400*li5half*z3 + 1120*ln2^5*z3 - 11200*ln2^3*z2*z3 - 
    50400*ln2*z2^2*z3 + 42000*ln2^2*z3^2 - 5600*z2*z3^2 + 43400*ln2^3*z5 + 
    2100*ln2*z2*z5 + 10675*z3*z5 - 243425*ln2*z7)/44800, 
 H[0, 0, -1, 1, 1, 1, 1, 1, 1] -> (40320*li8half + ln2^8 - 21105*s8a - 
    252000*s8b - 40320*s8d - 60480*li6half*z2 - 112*ln2^6*z2 + 110880*s6*z2 - 
    34272*li4half*z2^2 - 252*ln2^4*z2^2 + 9936*ln2^2*z2^3 + 24876*z2^4 + 
    15120*z2*z3^2 - 22365*z3*z5)/20160, H[0, 0, -1, 1, 1, 1, 1, 0, 1] -> 
  (-336000*ln2^2*s6 + 3140025*s8a + 20664000*s8b + 672000*s8c + 2688000*s8d - 
    7056000*s6*z2 + 4166400*li4half*z2^2 + 47600*ln2^4*z2^2 - 
    1058400*ln2^2*z2^3 - 2336016*z2^4 + 1680000*li5half*z3 - 14000*ln2^5*z3 + 
    140000*ln2^3*z2*z3 - 609000*ln2*z2^2*z3 - 94500*ln2^2*z3^2 - 
    3454500*z2*z3^2 - 2016000*ln2*z2*z5 + 7079625*z3*z5)/1344000, 
 H[0, 0, -1, 1, 1, 1, 1, -1, 1] -> (-70560000*li4half^2 - 282240000*li8half - 
    56448000*li7half*ln2 - 5880000*li4half*ln2^4 - 118300*ln2^8 + 
    31248000*ln2^2*s6 - 56448000*ln2*s7a - 70560000*ln2*s7b + 53756325*s8a - 
    48888000*s8b + 50400000*s8c - 15120000*s8d - 28224000*li6half*z2 - 
    127008000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 196000*ln2^6*z2 + 
    19656000*s6*z2 + 54129600*li4half*z2^2 + 4284000*ln2^4*z2^2 - 
    26233200*ln2^2*z2^3 - 3608568*z2^4 + 114912000*li5half*z3 - 
    123480000*li4half*ln2*z3 - 6102600*ln2^5*z3 + 28980000*ln2^3*z2*z3 + 
    60580800*ln2*z2^2*z3 - 77647500*ln2^2*z3^2 - 83112750*z2*z3^2 + 
    13671000*ln2^3*z5 + 57834000*ln2*z2*z5 + 224587125*z3*z5 - 
    78994125*ln2*z7)/28224000, H[0, 0, -1, 1, 1, 1, 0, 1, 1] -> 
  (-705600*li4half^2 - 58800*li4half*ln2^4 - 1225*ln2^8 - 100800*ln2^2*s6 + 
    270900*s8a + 18093600*s8b + 201600*s8c + 3326400*s8d + 
    4233600*li6half*z2 + 352800*li4half*ln2^2*z2 + 20580*ln2^6*z2 - 
    10357200*s6*z2 + 171360*li4half*z2^2 - 125160*ln2^4*z2^2 + 
    356580*ln2^2*z2^3 - 256698*z2^4 - 3124800*li5half*z3 + 26040*ln2^5*z3 - 
    260400*ln2^3*z2*z3 - 364140*ln2*z2^2*z3 - 28350*ln2^2*z3^2 + 
    1083600*z2*z3^2 - 604800*ln2*z2*z5 - 5147100*z3*z5)/705600, 
 H[0, 0, -1, 1, 1, 1, 0, 0, 1] -> (1142400*ln2^2*s6 - 4962825*s8a - 
    29836800*s8b - 2284800*s8c - 3360000*s8d + 9542400*s6*z2 - 
    3071040*li4half*z2^2 - 127960*ln2^4*z2^2 + 68880*ln2^2*z2^3 + 
    1683264*z2^4 + 5308800*li5half*z3 - 44240*ln2^5*z3 + 442400*ln2^3*z2*z3 + 
    4738440*ln2*z2^2*z3 + 321300*ln2^2*z3^2 + 1346100*z2*z3^2 + 
    6854400*ln2*z2*z5 - 7496475*z3*z5)/940800, 
 H[0, 0, -1, 1, 1, 1, 0, -1, 1] -> 
  (197568000*li4half^2 + 16464000*li4half*ln2^4 + 343000*ln2^8 - 
    281232000*ln2^2*s6 + 143136000*ln2*s7a - 26208000*ln2*s7b + 
    353647350*s8a + 2039688000*s8b + 276192000*s8c + 203616000*s8d - 
    28224000*li6half*z2 - 98784000*li4half*ln2^2*z2 - 4155200*ln2^6*z2 - 
    668304000*s6*z2 - 115214400*li4half*z2^2 + 8135400*ln2^4*z2^2 + 
    140187600*ln2^2*z2^3 + 77910156*z2^4 - 449568000*li5half*z3 + 
    296352000*li4half*ln2*z3 + 16094400*ln2^5*z3 - 111552000*ln2^3*z2*z3 - 
    385585200*ln2*z2^2*z3 + 140080500*ln2^2*z3^2 - 261056250*z2*z3^2 + 
    164052000*ln2^3*z5 - 746298000*ln2*z2*z5 + 442496250*z3*z5 - 
    521238375*ln2*z7)/28224000, H[0, 0, -1, 1, 1, 1, -1, 1, 1] -> 
  (183456000*li4half^2 + 225792000*li8half - 28224000*li6half*ln2^2 + 
    15288000*li4half*ln2^4 + 284900*ln2^8 - 50400000*ln2^2*s6 + 
    97601175*s8a + 1080576000*s8b + 114912000*s8c + 96768000*s8d + 
    197568000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    35280000*li4half*ln2^2*z2 + 764400*ln2^6*z2 - 235872000*s6*z2 - 
    66024000*li4half*z2^2 - 14569800*ln2^4*z2^2 + 15397200*ln2^2*z2^3 + 
    17444088*z2^4 - 405216000*li5half*z3 + 3376800*ln2^5*z3 + 
    630000*ln2^3*z2*z3 - 199621800*ln2*z2^2*z3 + 2031750*ln2^2*z3^2 - 
    83207250*z2*z3^2 - 551124000*ln2*z2*z5 + 56518875*z3*z5)/28224000, 
 H[0, 0, -1, 1, 1, 1, -1, 0, 1] -> 
  (-127008000*li4half^2 - 10584000*li4half*ln2^4 - 220500*ln2^8 + 
    18648000*ln2^2*s6 - 46390050*s8a - 390852000*s8b - 37296000*s8c - 
    33264000*s8d - 14112000*li6half*z2 + 63504000*li4half*ln2^2*z2 + 
    2626400*ln2^6*z2 + 105336000*s6*z2 + 66376800*li4half*z2^2 - 
    2232300*ln2^4*z2^2 - 16443000*ln2^2*z2^3 - 19390158*z2^4 + 
    193536000*li5half*z3 - 1612800*ln2^5*z3 + 16128000*ln2^3*z2*z3 + 
    129502800*ln2*z2^2*z3 + 5244750*ln2^2*z3^2 + 13363875*z2*z3^2 + 
    111888000*ln2*z2*z5 - 123826500*z3*z5)/14112000, 
 H[0, 0, -1, 1, 1, 1, -1, -1, 1] -> (56448000*li4half^2 - 564480000*li8half - 
    56448000*li7half*ln2 + 28224000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 
    134400*ln2^8 + 72576000*ln2^2*s6 + 43344000*ln2*s7a + 78624000*ln2*s7b - 
    308767725*s8a - 1618848000*s8b - 245952000*s8c - 120960000*s8d + 
    42336000*li6half*z2 - 91728000*li4half*ln2^2*z2 - 4194400*ln2^6*z2 + 
    467712000*s6*z2 - 77112000*li4half*z2^2 + 17955000*ln2^4*z2^2 + 
    11163600*ln2^2*z2^3 + 53124444*z2^4 + 291312000*li5half*z3 + 
    172872000*li4half*ln2*z3 + 4775400*ln2^5*z3 - 41874000*ln2^3*z2*z3 + 
    191620800*ln2*z2^2*z3 + 70575750*ln2^2*z3^2 + 243337500*z2*z3^2 - 
    34177500*ln2^3*z5 + 505795500*ln2*z2*z5 - 439448625*z3*z5 + 
    170926875*ln2*z7)/28224000, H[0, 0, -1, 1, 1, 0, 1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    1008000*ln2^2*s6 + 10658025*s8a + 21000000*s8b + 2016000*s8c - 
    2016000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    6384000*s6*z2 - 5107200*li4half*z2^2 + 1551200*ln2^4*z2^2 - 
    5577600*ln2^2*z2^3 - 5845976*z2^4 - 672000*li5half*z3 + 5600*ln2^5*z3 - 
    56000*ln2^3*z2*z3 - 2112600*ln2*z2^2*z3 - 283500*ln2^2*z3^2 - 
    26061000*z2*z3^2 - 6048000*ln2*z2*z5 + 73460625*z3*z5)/9408000, 
 H[0, 0, -1, 1, 1, 0, 1, 0, 1] -> (-3360000*ln2^2*s6 + 14843850*s8a + 
    9240000*s8b + 6720000*s8c - 6720000*s8d + 13440000*s6*z2 - 
    21806400*li4half*z2^2 - 908600*ln2^4*z2^2 + 9063600*ln2^2*z2^3 + 
    4948416*z2^4 - 28896000*li5half*z3 + 240800*ln2^5*z3 - 
    2408000*ln2^3*z2*z3 - 38803800*ln2*z2^2*z3 - 945000*ln2^2*z3^2 + 
    10983000*z2*z3^2 - 20160000*ln2*z2*z5 + 28625625*z3*z5)/4704000, 
 H[0, 0, -1, 1, 1, 0, 1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    127008000*ln2^2*s6 + 18144000*ln2*s7a + 102816000*ln2*s7b - 
    341222175*s8a - 1596924000*s8b - 290304000*s8c - 133056000*s8d + 
    169344000*li6half*z2 + 127008000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 1117200*ln2^6*z2 + 534240000*s6*z2 - 
    36136800*li4half*z2^2 + 6432300*ln2^4*z2^2 - 68909400*ln2^2*z2^3 - 
    36703788*z2^4 + 223776000*li5half*z3 + 24696000*li4half*ln2*z3 - 
    835800*ln2^5*z3 + 12474000*ln2^3*z2*z3 + 160965000*ln2*z2^2*z3 + 
    63504000*ln2^2*z3^2 + 282885750*z2*z3^2 - 82026000*ln2^3*z5 + 
    573189750*ln2*z2*z5 - 522262125*z3*z5 + 558959625*ln2*z7)/14112000, 
 H[0, 0, -1, 1, 1, 0, 0, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    1008000*ln2^2*s6 - 4633650*s8a - 17136000*s8b - 2016000*s8c + 
    2016000*s8d + 2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 6048000*s6*z2 + 
    1209600*li4half*z2^2 - 201600*ln2^4*z2^2 - 252000*ln2^2*z2^3 - 
    374124*z2^4 + 7056000*li5half*z3 - 58800*ln2^5*z3 + 588000*ln2^3*z2*z3 + 
    2431800*ln2*z2^2*z3 + 283500*ln2^2*z3^2 - 567000*z2*z3^2 + 
    6048000*ln2*z2*z5 - 2086875*z3*z5)/2016000, 
 H[0, 0, -1, 1, 1, 0, 0, 0, 1] -> 
  (108675*s8a + 784000*s8b + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 
    310800*ln2^2*z2^3 - 110632*z2^4 + 252000*ln2*z2^2*z3 - 267750*z3*z5)/
   112000, H[0, 0, -1, 1, 1, 0, 0, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    115920000*ln2^2*s6 - 43344000*ln2*s7a + 41328000*ln2*s7b - 
    199612350*s8a - 1042776000*s8b - 145152000*s8c - 108864000*s8d - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 348264000*s6*z2 - 
    24595200*li4half*z2^2 - 142800*ln2^4*z2^2 - 44074800*ln2^2*z2^3 - 
    2842176*z2^4 + 228312000*li5half*z3 - 1902600*ln2^5*z3 + 
    19026000*ln2^3*z2*z3 + 161878500*ln2*z2^2*z3 - 33768000*ln2^2*z3^2 + 
    152964000*z2*z3^2 - 82026000*ln2^3*z5 + 311409000*ln2*z2*z5 - 
    347263875*z3*z5 + 293005125*ln2*z7)/7056000, 
 H[0, 0, -1, 1, 1, 0, -1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    28476000*ln2^2*s6 + 57110550*s8a + 256620000*s8b + 42840000*s8c + 
    27720000*s8d + 56448000*li6half*z2 + 7056000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 313600*ln2^6*z2 - 58968000*s6*z2 + 
    8366400*li4half*z2^2 - 1121400*ln2^4*z2^2 + 11075400*ln2^2*z2^3 - 
    9755017*z2^4 - 41328000*li5half*z3 + 344400*ln2^5*z3 - 
    3444000*ln2^3*z2*z3 - 39078900*ln2*z2^2*z3 - 6722625*ln2^2*z3^2 - 
    61052250*z2*z3^2 - 138222000*ln2*z2*z5 + 112137375*z3*z5)/2352000, 
 H[0, 0, -1, 1, 1, 0, -1, 0, 1] -> (2016000*ln2^2*s6 - 1107225*s8a + 
    16016000*s8b - 4032000*s8c + 4032000*s8d - 12768000*s6*z2 + 
    4099200*li4half*z2^2 + 170800*ln2^4*z2^2 - 1428000*ln2^2*z2^3 - 
    2194676*z2^4 + 1344000*li5half*z3 - 11200*ln2^5*z3 + 112000*ln2^3*z2*z3 + 
    2020200*ln2*z2^2*z3 + 567000*ln2^2*z3^2 + 5939500*z2*z3^2 + 
    12096000*ln2*z2*z5 - 12912375*z3*z5)/1568000, 
 H[0, 0, -1, 1, 1, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    38304000*ln2^2*s6 - 4032000*ln2*s7a - 88704000*ln2*s7b + 7593075*s8a - 
    48384000*s8b + 16128000*s8c - 16128000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 9324000*s6*z2 + 17942400*li4half*z2^2 - 
    1016400*ln2^4*z2^2 - 32394600*ln2^2*z2^3 - 11487108*z2^4 + 
    71064000*li5half*z3 - 49392000*li4half*ln2*z3 - 2650200*ln2^5*z3 + 
    18270000*ln2^3*z2*z3 + 60757200*ln2*z2^2*z3 - 3118500*ln2^2*z3^2 - 
    8182125*z2*z3^2 + 82026000*ln2^3*z5 + 214830000*ln2*z2*z5 - 
    10843875*z3*z5 - 313488000*ln2*z7)/14112000, 
 H[0, 0, -1, 1, 1, -1, 1, 1, 1] -> (-967680*li4half^2 - 322560*li8half - 
    53760*li5half*ln2^3 - 80640*li4half*ln2^4 - 1240*ln2^8 + 
    322560*ln2^2*s6 - 1083285*s8a - 7943040*s8b - 645120*s8c - 1209600*s8d - 
    483840*li6half*z2 + 161280*li5half*ln2*z2 + 241920*li4half*ln2^2*z2 + 
    3808*ln2^6*z2 + 3427200*s6*z2 + 32256*li4half*z2^2 + 37968*ln2^4*z2^2 - 
    136944*ln2^2*z2^3 + 171684*z2^4 + 2540160*li5half*z3 - 21168*ln2^5*z3 + 
    15120*ln2^3*z2*z3 + 1087128*ln2*z2^2*z3 + 90720*ln2^2*z3^2 + 
    502740*z2*z3^2 + 208320*ln2^3*z5 + 1310400*ln2*z2*z5 - 1689345*z3*z5)/
   161280, H[0, 0, -1, 1, 1, -1, 1, 0, 1] -> 
  (197568000*li4half^2 + 16464000*li4half*ln2^4 + 343000*ln2^8 - 
    15120000*ln2^2*s6 + 162119475*s8a + 928872000*s8b + 30240000*s8c + 
    181440000*s8d - 28224000*li5half*ln2*z2 - 98784000*li4half*ln2^2*z2 - 
    3880800*ln2^6*z2 - 468720000*s6*z2 - 87897600*li4half*z2^2 - 
    1604400*ln2^4*z2^2 + 55339200*ln2^2*z2^3 - 44817804*z2^4 - 
    468720000*li5half*z3 + 3906000*ln2^5*z3 - 39060000*ln2^3*z2*z3 - 
    255717000*ln2*z2^2*z3 - 4252500*ln2^2*z3^2 - 26428500*z2*z3^2 + 
    18648000*ln2*z2*z5 + 586380375*z3*z5)/28224000, 
 H[0, 0, -1, 1, 1, -1, 1, -1, 1] -> (16128000*li8half + 3225600*li7half*ln2 + 
    537600*li5half*ln2^3 - 4720*ln2^8 + 345600*ln2^2*s6 - 3571200*ln2*s7a + 
    57600*ln2*s7b + 7437150*s8a + 40723200*s8b + 6451200*s8c + 1209600*s8d + 
    806400*li5half*ln2*z2 + 4838400*li4half*ln2^2*z2 + 241920*ln2^6*z2 - 
    7660800*s6*z2 + 1370880*li4half*z2^2 - 1241520*ln2^4*z2^2 - 
    967680*ln2^2*z2^3 - 819792*z2^4 - 10483200*li5half*z3 - 
    8467200*li4half*ln2*z3 - 265440*ln2^5*z3 + 3864000*ln2^3*z2*z3 - 
    7198560*ln2*z2^2*z3 - 5371200*ln2^2*z3^2 - 5859000*z2*z3^2 - 
    5598600*ln2^3*z5 - 14634000*ln2*z2*z5 + 11355750*z3*z5 - 6198525*ln2*z7)/
   1612800, H[0, 0, -1, 1, 1, -1, 0, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 252000*ln2^2*s6 - 
    1455300*s8a + 252000*s8b + 504000*s8c - 504000*s8d - 6048000*li6half*z2 - 
    2016000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 75600*ln2^6*z2 - 
    3276000*s6*z2 - 1058400*li4half*z2^2 + 165900*ln2^4*z2^2 - 
    75600*ln2^2*z2^3 + 1729692*z2^4 - 2016000*li5half*z3 + 16800*ln2^5*z3 - 
    168000*ln2^3*z2*z3 - 1234800*ln2*z2^2*z3 - 70875*ln2^2*z3^2 + 
    4457250*z2*z3^2 + 6300000*ln2*z2*z5 - 9930375*z3*z5)/1008000, 
 H[0, 0, -1, 1, 1, -1, 0, 0, 1] -> (-14400*li4half^2 - 1200*li4half*ln2^4 - 
    25*ln2^8 + 7200*li4half*ln2^2*z2 + 300*ln2^6*z2 + 2880*li4half*z2^2 - 
    780*ln2^4*z2^2 - 720*ln2^2*z2^3 - 144*z2^4 + 10800*li5half*z3 - 
    90*ln2^5*z3 + 900*ln2^3*z2*z3 + 540*ln2*z2^2*z3 - 8775*z2*z3^2 + 
    10125*z3*z5)/7200, H[0, 0, -1, 1, 1, -1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    31248000*ln2^2*s6 + 47376000*ln2*s7a + 75600000*ln2*s7b - 121326975*s8a - 
    374976000*s8b - 157248000*s8c + 72576000*s8d - 42336000*li6half*z2 - 
    14112000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 2293200*ln2^6*z2 - 
    132804000*s6*z2 - 42638400*li4half*z2^2 + 4985400*ln2^4*z2^2 + 
    6867000*ln2^2*z2^3 - 42994746*z2^4 - 138096000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 5266800*ln2^5*z3 - 36204000*ln2^3*z2*z3 + 
    6029100*ln2*z2^2*z3 + 81333000*ln2^2*z3^2 + 148144500*z2*z3^2 - 
    27342000*ln2^3*z5 + 303471000*ln2*z2*z5 + 39619125*z3*z5 + 
    566992125*ln2*z7)/14112000, H[0, 0, -1, 1, 1, -1, -1, 1, 1] -> 
  (-18816000*li4half^2 + 301056000*li8half - 9408000*li6half*ln2^2 + 
    3136000*li5half*ln2^3 - 1568000*li4half*ln2^4 - 64400*ln2^8 - 
    66360000*ln2^2*s6 + 164245200*s8a + 937776000*s8b + 120960000*s8c + 
    86016000*s8d - 65856000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    4704000*li4half*ln2^2*z2 + 431200*ln2^6*z2 - 321384000*s6*z2 + 
    25670400*li4half*z2^2 - 2203600*ln2^4*z2^2 + 15926400*ln2^2*z2^3 - 
    13257648*z2^4 - 113232000*li5half*z3 + 943600*ln2^5*z3 - 
    9436000*ln2^3*z2*z3 - 112320600*ln2*z2^2*z3 - 25352250*ln2^2*z3^2 - 
    102516750*z2*z3^2 - 12152000*ln2^3*z5 - 273577500*ln2*z2*z5 + 
    107538375*z3*z5)/9408000, H[0, 0, -1, 1, 1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    4032000*ln2^2*s6 - 41397300*s8a - 307440000*s8b - 8064000*s8c - 
    76608000*s8d - 14112000*li6half*z2 + 14112000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 450800*ln2^6*z2 + 186732000*s6*z2 - 
    6148800*li4half*z2^2 + 2095800*ln2^4*z2^2 - 10999800*ln2^2*z2^3 + 
    21039282*z2^4 + 107352000*li5half*z3 - 894600*ln2^5*z3 + 
    8946000*ln2^3*z2*z3 + 34851600*ln2*z2^2*z3 + 1134000*ln2^2*z3^2 + 
    10954125*z2*z3^2 - 30492000*ln2*z2*z5 - 103973625*z3*z5)/14112000, 
 H[0, 0, -1, 1, 1, -1, -1, -1, 1] -> 
  (112896000*li4half^2 - 1128960000*li8half + 112896000*li7half*ln2 + 
    56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 
    380800*ln2^8 + 81648000*ln2^2*s6 + 114912000*ln2*s7a - 
    110880000*ln2*s7b - 366033150*s8a - 2306304000*s8b - 322560000*s8c - 
    72576000*s8d - 254016000*li6half*z2 - 56448000*li4half*ln2^2*z2 - 
    4194400*ln2^6*z2 + 194544000*s6*z2 - 70963200*li4half*z2^2 + 
    20916000*ln2^4*z2^2 + 33667200*ln2^2*z2^3 + 13518936*z2^4 + 
    131040000*li5half*z3 + 98784000*li4half*ln2*z3 + 3024000*ln2^5*z3 - 
    36708000*ln2^3*z2*z3 + 263466000*ln2*z2^2*z3 + 239053500*ln2^2*z3^2 + 
    353272500*z2*z3^2 + 291648000*ln2^3*z5 + 1300446000*ln2*z2*z5 + 
    191740500*z3*z5 - 102949875*ln2*z7)/56448000, 
 H[0, 0, -1, 1, 0, 1, 1, 1, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 336000*ln2^2*s6 + 
    185325*s8a + 6216000*s8b - 672000*s8c + 672000*s8d + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 - 3696000*s6*z2 + 
    2217600*li4half*z2^2 - 33600*ln2^4*z2^2 - 537600*ln2^2*z2^3 - 
    876768*z2^4 + 3360000*li5half*z3 - 28000*ln2^5*z3 + 280000*ln2^3*z2*z3 + 
    861000*ln2*z2^2*z3 + 94500*ln2^2*z3^2 + 21000*z2*z3^2 + 
    2016000*ln2*z2*z5 - 2086875*z3*z5)/672000, 
 H[0, 0, -1, 1, 0, 1, 1, 0, 1] -> 
  (-201425*s8a - 2576000*s8b - 235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 
    58800*ln2^2*z2^3 + 126612*z2^4 + 1386000*ln2*z2^2*z3 - 855750*z3*z5)/
   224000, H[0, 0, -1, 1, 0, 1, 1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    122976000*ln2^2*s6 - 54432000*ln2*s7a + 143136000*ln2*s7b - 
    169394400*s8a - 964656000*s8b - 137088000*s8c - 116928000*s8d - 
    338688000*li6half*z2 + 70560000*li4half*ln2^2*z2 + 2469600*ln2^6*z2 + 
    184464000*s6*z2 - 118641600*li4half*z2^2 - 22583400*ln2^4*z2^2 + 
    65671200*ln2^2*z2^3 + 86461236*z2^4 + 149184000*li5half*z3 + 
    197568000*li4half*ln2*z3 + 6988800*ln2^5*z3 - 36960000*ln2^3*z2*z3 + 
    80602200*ln2*z2^2*z3 - 48762000*ln2^2*z3^2 + 235116000*z2*z3^2 - 
    191394000*ln2^3*z5 + 154633500*ln2*z2*z5 - 450450000*z3*z5 + 
    150404625*ln2*z7)/28224000, H[0, 0, -1, 1, 0, 1, 0, 1, 1] -> 
  (1008000*li4half^2 + 84000*li4half*ln2^4 + 1750*ln2^8 - 504000*ln2^2*s6 + 
    269325*s8a - 1071000*s8b + 1008000*s8c - 1008000*s8d - 
    504000*li4half*ln2^2*z2 - 21000*ln2^6*z2 + 3276000*s6*z2 + 
    50400*li4half*z2^2 + 65100*ln2^4*z2^2 - 37800*ln2^2*z2^3 + 453132*z2^4 - 
    1512000*li5half*z3 + 12600*ln2^5*z3 - 126000*ln2^3*z2*z3 - 
    1115100*ln2*z2^2*z3 - 141750*ln2^2*z3^2 - 811125*z2*z3^2 - 
    3024000*ln2*z2*z5 + 1141875*z3*z5)/252000, 
 H[0, 0, -1, 1, 0, 1, 0, 0, 1] -> 
  (320075*s8a + 1176000*s8b + 336000*li4half*z2^2 + 14000*ln2^4*z2^2 - 
    84000*ln2^2*z2^3 - 192258*z2^4 - 504000*ln2*z2^2*z3 + 605500*z3*z5)/
   112000, H[0, 0, -1, 1, 0, 1, 0, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    4032000*ln2^2*s6 - 4032000*ln2*s7a - 4032000*ln2*s7b + 100800*s8a - 
    6048000*s8b + 8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 + 504000*s6*z2 + 
    11541600*li4half*z2^2 - 527100*ln2^4*z2^2 - 3591000*ln2^2*z2^3 - 
    3927537*z2^4 - 21168000*li4half*ln2*z3 - 882000*ln2^5*z3 + 
    5292000*ln2^3*z2*z3 + 5481000*ln2*z2^2*z3 - 5040000*ln2^2*z3^2 - 
    1118250*z2*z3^2 + 11844000*ln2*z2*z5 + 11489625*z3*z5 - 5126625*ln2*z7)/
   1008000, H[0, 0, -1, 1, 0, 1, -1, 1, 1] -> 
  (-70560000*li4half^2 - 5880000*li4half*ln2^4 - 122500*ln2^8 + 
    113904000*ln2^2*s6 - 271950525*s8a - 1092924000*s8b - 241920000*s8c - 
    54432000*s8d - 677376000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    91728000*li4half*ln2^2*z2 - 1940400*ln2^6*z2 - 102816000*s6*z2 + 
    51912000*li4half*z2^2 + 15393000*ln2^4*z2^2 - 48182400*ln2^2*z2^3 + 
    51796566*z2^4 + 334656000*li5half*z3 - 2788800*ln2^5*z3 + 
    27888000*ln2^3*z2*z3 + 271504800*ln2*z2^2*z3 + 30492000*ln2^2*z3^2 + 
    377244000*z2*z3^2 + 1061140500*ln2*z2*z5 - 619400250*z3*z5)/14112000, 
 H[0, 0, -1, 1, 0, 1, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    36288000*ln2^2*s6 + 48716325*s8a - 2520000*s8b + 72576000*s8c - 
    72576000*s8d - 56448000*li4half*ln2^2*z2 - 2352000*ln2^6*z2 + 
    141624000*s6*z2 - 114357600*li4half*z2^2 + 2291100*ln2^4*z2^2 + 
    19971000*ln2^2*z2^3 + 45573777*z2^4 - 108864000*li5half*z3 + 
    907200*ln2^5*z3 - 9072000*ln2^3*z2*z3 - 112039200*ln2*z2^2*z3 - 
    10206000*ln2^2*z3^2 - 48258000*z2*z3^2 - 217728000*ln2*z2*z5 + 
    175423500*z3*z5)/7056000, H[0, 0, -1, 1, 0, 1, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    168336000*ln2^2*s6 + 36288000*ln2*s7a - 62496000*ln2*s7b + 
    350105175*s8a + 1571472000*s8b + 278208000*s8c + 145152000*s8d - 
    169344000*li6half*z2 + 91728000*li4half*ln2^2*z2 + 3586800*ln2^6*z2 - 
    583128000*s6*z2 + 66427200*li4half*z2^2 - 13108200*ln2^4*z2^2 + 
    82895400*ln2^2*z2^3 - 507942*z2^4 - 473760000*li5half*z3 - 
    123480000*li4half*ln2*z3 - 1197000*ln2^5*z3 - 8610000*ln2^3*z2*z3 - 
    309336300*ln2*z2^2*z3 + 9765000*ln2^2*z3^2 - 268632000*z2*z3^2 + 
    95697000*ln2^3*z5 - 647955000*ln2*z2*z5 + 881858250*z3*z5 - 
    118424250*ln2*z7)/14112000, H[0, 0, -1, 1, 0, 0, 1, 1, 1] -> 
  (672000*ln2^2*s6 - 98175*s8a - 6048000*s8b - 1344000*s8c + 1344000*s8d + 
    672000*s6*z2 + 403200*li4half*z2^2 + 16800*ln2^4*z2^2 - 
    67200*ln2^2*z2^3 - 723348*z2^4 - 336000*li5half*z3 + 2800*ln2^5*z3 - 
    28000*ln2^3*z2*z3 + 1369200*ln2*z2^2*z3 + 189000*ln2^2*z3^2 + 
    556500*z2*z3^2 + 4032000*ln2*z2*z5 + 383250*z3*z5)/672000, 
 H[0, 0, -1, 1, 0, 0, 1, 0, 1] -> (-387800*s8a - 268800*li4half*z2^2 - 
    11200*ln2^4*z2^2 + 67200*ln2^2*z2^3 + 82662*z2^4 - 189000*ln2*z2^2*z3 + 
    364875*z3*z5)/112000, H[0, 0, -1, 1, 0, 0, 1, -1, 1] -> 
  (-74928000*ln2^2*s6 + 26544000*ln2*s7a - 29904000*ln2*s7b + 124769400*s8a + 
    643440000*s8b + 96768000*s8c + 72576000*s8d - 222768000*s6*z2 + 
    12280800*li4half*z2^2 + 511700*ln2^4*z2^2 + 30000600*ln2^2*z2^3 - 
    3031641*z2^4 - 145152000*li5half*z3 + 8232000*li4half*ln2*z3 + 
    1552600*ln2^5*z3 - 14154000*ln2^3*z2*z3 - 101539200*ln2*z2^2*z3 + 
    19572000*ln2^2*z3^2 - 106974000*z2*z3^2 + 54684000*ln2^3*z5 - 
    234874500*ln2*z2*z5 + 259623000*z3*z5 - 90397125*ln2*z7)/2352000, 
 H[0, 0, -1, 1, 0, 0, 0, 1, 1] -> (321300*s8a + 2940000*s8b - 1680000*s6*z2 + 
    134400*li4half*z2^2 + 5600*ln2^4*z2^2 - 33600*ln2^2*z2^3 + 38008*z2^4 + 
    488250*z2*z3^2 - 1677375*z3*z5)/168000, H[0, 0, -1, 1, 0, 0, 0, 0, 1] -> 
  (-3*(4725*s8a + 56000*s8b - 4178*z2^4 - 26250*z3*z5))/11200, 
 H[0, 0, -1, 1, 0, 0, 0, -1, 1] -> (642600*s8a + 6720000*s8b - 336000*s6*z2 + 
    235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 58800*ln2^2*z2^3 + 1001176*z2^4 + 
    204750*z2*z3^2 - 5362875*z3*z5 - 11668125*ln2*z7)/336000, 
 H[0, 0, -1, 1, 0, 0, -1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    114912000*ln2^2*s6 - 192964275*s8a - 968688000*s8b - 145152000*s8c - 
    108864000*s8d - 7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 + 
    344736000*s6*z2 - 24595200*li4half*z2^2 - 142800*ln2^4*z2^2 - 
    61588800*ln2^2*z2^3 + 7410276*z2^4 + 217728000*li5half*z3 - 
    1814400*ln2^5*z3 + 18144000*ln2^3*z2*z3 + 160574400*ln2*z2^2*z3 + 
    4536000*ln2^2*z3^2 + 156492000*z2*z3^2 + 435456000*ln2*z2*z5 - 
    386788500*z3*z5)/7056000, H[0, 0, -1, 1, 0, 0, -1, 0, 1] -> 
  (-4050*s8a - 48000*s8b + 19200*s6*z2 - 6720*li4half*z2^2 - 280*ln2^4*z2^2 + 
    1680*ln2^2*z2^3 - 48*z2^4 + 5400*ln2*z2^2*z3 - 7200*z2*z3^2 + 
    25575*z3*z5)/3200, H[0, 0, -1, 1, 0, 0, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    31920000*ln2^2*s6 - 21840000*ln2*s7a + 34608000*ln2*s7b - 64321425*s8a - 
    317016000*s8b - 48384000*s8c - 36288000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 + 120792000*s6*z2 - 15254400*li4half*z2^2 + 
    246400*ln2^4*z2^2 - 5854800*ln2^2*z2^3 + 6983412*z2^4 + 
    72576000*li5half*z3 + 16464000*li4half*ln2*z3 + 81200*ln2^5*z3 + 
    1932000*ln2^3*z2*z3 + 41619900*ln2*z2^2*z3 - 15204000*ln2^2*z3^2 + 
    50988000*z2*z3^2 - 54684000*ln2^3*z5 + 41727000*ln2*z2*z5 - 
    141057000*z3*z5 + 123214875*ln2*z7)/2352000, 
 H[0, 0, -1, 1, 0, -1, 1, 1, 1] -> 
  (-1008000*li4half^2 - 84000*li4half*ln2^4 - 1750*ln2^8 - 1008000*ln2^2*s6 + 
    10204425*s8a + 62622000*s8b + 2016000*s8c + 15120000*s8d + 
    24192000*li6half*z2 - 1008000*li4half*ln2^2*z2 - 8400*ln2^6*z2 - 
    25704000*s6*z2 + 4132800*li4half*z2^2 - 16800*ln2^4*z2^2 - 
    1026900*ln2^2*z2^3 - 7452162*z2^4 - 6300000*li5half*z3 + 52500*ln2^5*z3 - 
    525000*ln2^3*z2*z3 - 2394000*ln2*z2^2*z3 - 283500*ln2^2*z3^2 - 
    9158625*z2*z3^2 - 1627500*ln2^3*z5 - 1165500*ln2*z2*z5 + 13797000*z3*z5)/
   1008000, H[0, 0, -1, 1, 0, -1, 1, 0, 1] -> 
  (-6720000*ln2^2*s6 + 1423275*s8a + 5544000*s8b + 13440000*s8c - 
    13440000*s8d + 26880000*s6*z2 - 3746400*li4half*z2^2 - 
    156100*ln2^4*z2^2 + 2868600*ln2^2*z2^3 + 8559699*z2^4 - 
    20160000*li5half*z3 + 168000*ln2^5*z3 - 1680000*ln2^3*z2*z3 - 
    14868000*ln2*z2^2*z3 - 1890000*ln2^2*z3^2 - 8610000*z2*z3^2 - 
    51712500*ln2*z2*z5 + 15319500*z3*z5)/2352000, 
 H[0, 0, -1, 1, 0, -1, 1, -1, 1] -> (-1680000*ln2^2*s6 + 13776000*ln2*s7a - 
    19152000*ln2*s7b - 33492900*s8a - 164976000*s8b - 24192000*s8c - 
    13440000*s8d + 112896000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 196000*ln2^6*z2 + 106848000*s6*z2 - 
    8332800*li4half*z2^2 + 3180800*ln2^4*z2^2 - 2184000*ln2^2*z2^3 - 
    13118244*z2^4 + 36288000*li5half*z3 + 8232000*li4half*ln2*z3 + 
    40600*ln2^5*z3 + 966000*ln2^3*z2*z3 + 34003200*ln2*z2^2*z3 + 
    20622000*ln2^2*z3^2 + 3150000*z2*z3^2 + 39494000*ln2^3*z5 - 
    13534500*ln2*z2*z5 - 53917500*z3*z5 - 33088125*ln2*z7)/4704000, 
 H[0, 0, -1, 1, 0, -1, 0, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 2016000*ln2^2*s6 + 
    2537325*s8a + 9576000*s8b + 4032000*s8c - 4032000*s8d - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 8064000*s6*z2 - 
    1764000*li4half*z2^2 + 178500*ln2^4*z2^2 + 340200*ln2^2*z2^3 + 
    2654937*z2^4 - 6048000*li5half*z3 + 50400*ln2^5*z3 - 504000*ln2^3*z2*z3 - 
    4460400*ln2*z2^2*z3 - 567000*ln2^2*z3^2 - 5134500*z2*z3^2 - 
    21861000*ln2*z2*z5 + 8158500*z3*z5)/1008000, 
 H[0, 0, -1, 1, 0, -1, 0, 0, 1] -> 
  (-3*(1575*s8a + 168000*s8b + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 
     58800*ln2^2*z2^3 - 108788*z2^4 + 126000*ln2*z2^2*z3 + 103250*z3*z5))/
   112000, H[0, 0, -1, 1, 0, -1, 0, -1, 1] -> 
  (-1344000*ln2^2*s6 + 1344000*ln2*s7a + 1344000*ln2*s7b + 127050*s8a + 
    4704000*s8b + 672000*s6*z2 - 823200*li4half*z2^2 - 34300*ln2^4*z2^2 + 
    441000*ln2^2*z2^3 + 1107453*z2^4 + 2352000*li4half*ln2*z3 + 
    98000*ln2^5*z3 - 588000*ln2^3*z2*z3 - 2473800*ln2*z2^2*z3 + 
    1680000*ln2^2*z3^2 - 309750*z2*z3^2 - 5575500*ln2*z2*z5 - 2291625*z3*z5 + 
    1042125*ln2*z7)/336000, H[0, 0, -1, 1, 0, -1, -1, 1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    25200000*ln2^2*s6 + 61683300*s8a + 639072000*s8b + 78624000*s8c + 
    34272000*s8d + 677376000*li6half*z2 - 98784000*li4half*ln2^2*z2 - 
    3175200*ln2^6*z2 + 256032000*s6*z2 - 1612800*li4half*z2^2 + 
    3460800*ln2^4*z2^2 - 80463600*ln2^2*z2^3 - 42115932*z2^4 - 
    301392000*li5half*z3 + 2511600*ln2^5*z3 - 25116000*ln2^3*z2*z3 - 
    130548600*ln2*z2^2*z3 + 3717000*ln2^2*z3^2 - 238675500*z2*z3^2 + 
    45570000*ln2^3*z5 - 475996500*ln2*z2*z5 + 255236625*z3*z5)/28224000, 
 H[0, 0, -1, 1, 0, -1, -1, 0, 1] -> (103650*s8a - 1056000*s8b + 48000*s6*z2 - 
    379200*li4half*z2^2 - 15800*ln2^4*z2^2 + 94800*ln2^2*z2^3 - 23046*z2^4 + 
    27000*ln2*z2^2*z3 + 50250*z2*z3^2 + 465000*ln2*z2*z5 + 515625*z3*z5)/
   96000, H[0, 0, -1, 1, 0, -1, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    30576000*ln2^2*s6 + 4032000*ln2*s7a + 69888000*ln2*s7b - 93655800*s8a - 
    407400000*s8b - 78624000*s8c - 43680000*s8d - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 + 164976000*s6*z2 - 35548800*li4half*z2^2 + 
    282800*ln2^4*z2^2 - 1377600*ln2^2*z2^3 + 18684132*z2^4 + 
    87360000*li5half*z3 + 65856000*li4half*ln2*z3 + 2016000*ln2^5*z3 - 
    9184000*ln2^3*z2*z3 + 22285200*ln2*z2^2*z3 + 11172000*ln2^2*z3^2 + 
    76534500*z2*z3^2 - 78988000*ln2^3*z5 + 28518000*ln2*z2*z5 - 
    211945125*z3*z5 + 215181750*ln2*z7)/9408000, 
 H[0, 0, -1, 1, -1, 1, 1, 1, 1] -> (18816000*li4half^2 - 112896000*li8half + 
    784000*li4half*ln2^4 - 2800*ln2^8 - 28896000*ln2^2*s6 + 80270925*s8a + 
    382872000*s8b + 57792000*s8c + 24528000*s8d + 84672000*li6half*z2 - 
    4704000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 90216000*s6*z2 + 
    3024000*li4half*z2^2 - 1951600*ln2^4*z2^2 + 4544400*ln2^2*z2^3 - 
    3830052*z2^4 - 20832000*li5half*z3 + 173600*ln2^5*z3 - 
    4088000*ln2^3*z2*z3 - 60639600*ln2*z2^2*z3 - 8127000*ln2^2*z3^2 - 
    78183000*z2*z3^2 - 173376000*ln2*z2*z5 + 128911125*z3*z5)/9408000, 
 H[0, 0, -1, 1, -1, 1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    136080000*ln2^2*s6 - 421578675*s8a - 2252880000*s8b - 272160000*s8c - 
    221760000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 
    690480000*s6*z2 + 47376000*li4half*z2^2 + 20496000*ln2^4*z2^2 - 
    83336400*ln2^2*z2^3 + 8476992*z2^4 + 295344000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 2167200*ln2^5*z3 + 22848000*ln2^3*z2*z3 + 
    489560400*ln2*z2^2*z3 + 38272500*ln2^2*z3^2 + 299596500*z2*z3^2 + 
    816480000*ln2*z2*z5 - 779443875*z3*z5)/28224000, 
 H[0, 0, -1, 1, -1, 1, 1, -1, 1] -> (94080000*li8half + 9408000*li7half*ln2 + 
    392000*li4half*ln2^4 + 16800*ln2^8 - 7392000*ln2^2*s6 + 2016000*ln2*s7a - 
    16800000*ln2*s7b + 21548100*s8a + 150024000*s8b + 10752000*s8c + 
    15120000*s8d + 18816000*li6half*z2 + 21168000*li5half*ln2*z2 - 
    2352000*li4half*ln2^2*z2 - 372400*ln2^6*z2 - 34356000*s6*z2 + 
    1848000*li4half*z2^2 + 2120300*ln2^4*z2^2 + 3259200*ln2^2*z2^3 - 
    5415384*z2^4 - 23184000*li5half*z3 + 8232000*li4half*ln2*z3 + 
    536200*ln2^5*z3 - 3990000*ln2^3*z2*z3 + 3681300*ln2*z2^2*z3 + 
    1008000*ln2^2*z3^2 - 13319250*z2*z3^2 + 18228000*ln2^3*z5 + 
    20879250*ln2*z2*z5 - 25126500*z3*z5 - 196588875*ln2*z7)/4704000, 
 H[0, 0, -1, 1, -1, 1, 0, 1, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 + 
    9273600*ln2^2*s6 - 24955875*s8a - 127638000*s8b - 18547200*s8c - 
    9676800*s8d - 25401600*li6half*z2 + 2116800*li4half*ln2^2*z2 + 
    52920*ln2^6*z2 + 30996000*s6*z2 + 534240*li4half*z2^2 + 
    463260*ln2^4*z2^2 - 1988280*ln2^2*z2^3 + 2367513*z2^4 + 
    27820800*li5half*z3 - 705600*li4half*ln2*z3 - 261240*ln2^5*z3 + 
    2494800*ln2^3*z2*z3 + 19891620*ln2*z2^2*z3 + 2608200*ln2^2*z3^2 + 
    22465800*z2*z3^2 + 55641600*ln2*z2*z5 - 39901050*z3*z5)/1411200, 
 H[0, 0, -1, 1, -1, 1, 0, 0, 1] -> (-16128000*ln2^2*s6 + 50502900*s8a + 
    253680000*s8b + 32256000*s8c + 24192000*s8d - 76608000*s6*z2 + 
    7072800*li4half*z2^2 + 294700*ln2^4*z2^2 + 4985400*ln2^2*z2^3 - 
    2923101*z2^4 - 48384000*li5half*z3 - 3528000*li4half*ln2*z3 + 
    256200*ln2^5*z3 - 3150000*ln2^3*z2*z3 - 46752300*ln2*z2^2*z3 - 
    4536000*ln2^2*z3^2 - 35658000*z2*z3^2 - 96768000*ln2*z2*z5 + 
    90069000*z3*z5)/2352000, H[0, 0, -1, 1, -1, 1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    89712000*ln2^2*s6 - 22176000*ln2*s7a + 48384000*ln2*s7b - 160599600*s8a - 
    774900000*s8b - 135072000*s8c - 62496000*s8d + 24696000*li6half*z2 + 
    12348000*li4half*ln2^2*z2 + 548800*ln2^6*z2 + 234801000*s6*z2 + 
    1965600*li4half*z2^2 - 1755600*ln2^4*z2^2 - 39608100*ln2^2*z2^3 - 
    16826301*z2^4 + 146160000*li5half*z3 - 22932000*li4half*ln2*z3 - 
    2173500*ln2^5*z3 + 17913000*ln2^3*z2*z3 + 109780650*ln2*z2^2*z3 - 
    8725500*ln2^2*z3^2 + 127984500*z2*z3^2 - 68355000*ln2^3*z5 + 
    260883000*ln2*z2*z5 - 233352000*z3*z5 + 314448750*ln2*z7)/3528000, 
 H[0, 0, -1, 1, -1, 1, -1, 1, 1] -> 
  (56448000*li8half + 28224000*li6half*ln2^2 + 2352000*li4half*ln2^4 + 
    138600*ln2^8 + 504000*ln2^2*s6 - 84273525*s8a - 370944000*s8b - 
    64512000*s8c + 1008000*s8d - 28224000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 1842400*ln2^6*z2 + 61488000*s6*z2 + 
    1612800*li4half*z2^2 + 6770400*ln2^4*z2^2 - 3679200*ln2^2*z2^3 - 
    13561704*z2^4 - 2016000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    604800*ln2^5*z3 + 24528000*ln2^3*z2*z3 + 60429600*ln2*z2^2*z3 - 
    630000*ln2^2*z3^2 + 77490000*z2*z3^2 + 235872000*ln2*z2*z5 - 
    84569625*z3*z5)/28224000, H[0, 0, -1, 1, -1, 1, -1, 0, 1] -> 
  (-24192000*ln2^2*s6 + 64145025*s8a + 306432000*s8b + 48384000*s8c + 
    22176000*s8d + 3528000*li6half*z2 + 1764000*li4half*ln2^2*z2 + 
    78400*ln2^6*z2 - 83601000*s6*z2 + 5140800*li4half*z2^2 - 
    2946300*ln2^4*z2^2 + 9330300*ln2^2*z2^3 + 1385424*z2^4 - 
    44352000*li5half*z3 - 7056000*li4half*ln2*z3 + 75600*ln2^5*z3 - 
    1932000*ln2^3*z2*z3 - 54406800*ln2*z2^2*z3 - 6804000*ln2^2*z3^2 - 
    51612750*z2*z3^2 - 145152000*ln2*z2*z5 + 95689125*z3*z5)/3528000, 
 H[0, 0, -1, 1, -1, 1, -1, -1, 1] -> 
  (-33868800*li4half^2 + 56448000*li8half + 11289600*li7half*ln2 - 
    5644800*li6half*ln2^2 - 3292800*li4half*ln2^4 - 87080*ln2^8 + 
    17236800*ln2^2*s6 + 201600*ln2*s7a + 12902400*ln2*s7b - 10990350*s8a - 
    28022400*s8b - 22176000*s8c + 6652800*s8d + 8467200*li6half*z2 + 
    19756800*li4half*ln2^2*z2 + 1078000*ln2^6*z2 - 7660800*s6*z2 + 
    18264960*li4half*z2^2 - 2978640*ln2^4*z2^2 - 12257280*ln2^2*z2^3 - 
    18745596*z2^4 - 604800*li5half*z3 - 32457600*li4half*ln2*z3 - 
    1347360*ln2^5*z3 + 3830400*ln2^3*z2*z3 + 307440*ln2*z2^2*z3 + 
    5310900*ln2^2*z3^2 + 10546200*z2*z3^2 - 12303900*ln2^3*z5 + 
    28230300*ln2*z2*z5 + 15989400*z3*z5 + 123620175*ln2*z7)/5644800, 
 H[0, 0, -1, 1, -1, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    11088000*ln2^2*s6 + 64575*s8a - 181188000*s8b + 22176000*s8c - 
    22176000*s8d + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 
    114912000*s6*z2 - 907200*li4half*z2^2 - 919800*ln2^4*z2^2 + 
    20084400*ln2^2*z2^3 + 12210942*z2^4 - 107352000*li5half*z3 + 
    3528000*li4half*ln2*z3 + 1041600*ln2^5*z3 - 9828000*ln2^3*z2*z3 - 
    27751500*ln2*z2^2*z3 - 3118500*ln2^2*z3^2 - 5276250*z2*z3^2 - 
    66528000*ln2*z2*z5 + 77182875*z3*z5)/14112000, 
 H[0, 0, -1, 1, -1, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    10080000*ln2^2*s6 - 16241400*s8a + 56952000*s8b - 20160000*s8c + 
    20160000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    40320000*s6*z2 - 49240800*li4half*z2^2 + 1476300*ln2^4*z2^2 + 
    1474200*ln2^2*z2^3 + 832491*z2^4 + 30240000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 630000*ln2^5*z3 - 2772000*ln2^3*z2*z3 - 
    26384400*ln2*z2^2*z3 + 2835000*ln2^2*z3^2 + 18207000*z2*z3^2 + 
    60480000*ln2*z2*z5 - 6276375*z3*z5)/7056000, 
 H[0, 0, -1, 1, -1, 0, 1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    283248000*ln2^2*s6 + 53424000*ln2*s7a - 59472000*ln2*s7b + 
    523101600*s8a + 2551248000*s8b + 459648000*s8c + 217728000*s8d - 
    338688000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 352800*ln2^6*z2 - 922320000*s6*z2 - 
    7257600*li4half*z2^2 - 10886400*ln2^4*z2^2 + 135223200*ln2^2*z2^3 + 
    61425996*z2^4 - 576576000*li5half*z3 + 45864000*li4half*ln2*z3 + 
    6715800*ln2^5*z3 - 59514000*ln2^3*z2*z3 - 477892800*ln2*z2^2*z3 + 
    2142000*ln2^2*z3^2 - 403830000*z2*z3^2 + 109368000*ln2^3*z5 - 
    1176903000*ln2*z2*z5 + 1041043500*z3*z5 + 66913875*ln2*z7)/14112000, 
 H[0, 0, -1, 1, -1, 0, 0, 1, 1] -> (-80640*li4half^2 - 6720*li4half*ln2^4 - 
    140*ln2^8 + 116235*s8a + 705600*s8b + 40320*li4half*ln2^2*z2 + 
    1680*ln2^6*z2 - 403200*s6*z2 + 48384*li4half*z2^2 - 3024*ln2^4*z2^2 - 
    12096*ln2^2*z2^3 - 21612*z2^4 - 60480*li4half*ln2*z3 - 2520*ln2^5*z3 + 
    15120*ln2^3*z2*z3 - 8316*ln2*z2^2*z3 + 45360*z2*z3^2 - 94500*z3*z5)/
   40320, H[0, 0, -1, 1, -1, 0, 0, 0, 1] -> 
  (-193725*s8a - 1176000*s8b - 47040*li4half*z2^2 - 1960*ln2^4*z2^2 + 
    314160*ln2^2*z2^3 + 63684*z2^4 + 113400*ln2*z2^2*z3 + 33075*z3*z5)/67200, 
 H[0, 0, -1, 1, -1, 0, 0, -1, 1] -> (-72576000*ln2^2*s6 + 24192000*ln2*s7a - 
    32256000*ln2*s7b + 133607775*s8a + 684600000*s8b + 96768000*s8c + 
    72576000*s8d - 229824000*s6*z2 + 13927200*li4half*z2^2 + 
    580300*ln2^4*z2^2 + 29177400*ln2^2*z2^3 + 1415599*z2^4 - 
    145152000*li5half*z3 + 3528000*li4half*ln2*z3 + 1356600*ln2^5*z3 - 
    12978000*ln2^3*z2*z3 - 97290900*ln2*z2^2*z3 + 16632000*ln2^2*z3^2 - 
    104034000*z2*z3^2 + 54684000*ln2^3*z5 - 193788000*ln2*z2*z5 + 
    226180500*z3*z5 - 223487250*ln2*z7)/2352000, 
 H[0, 0, -1, 1, -1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    165312000*ln2^2*s6 - 305570475*s8a - 1431864000*s8b - 260064000*s8c - 
    120960000*s8d - 338688000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 529200*ln2^6*z2 + 248976000*s6*z2 - 
    907200*li4half*z2^2 + 1726200*ln2^4*z2^2 - 61626600*ln2^2*z2^3 + 
    27491214*z2^4 + 361872000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    3603600*ln2^5*z3 + 33684000*ln2^3*z2*z3 + 273760200*ln2*z2^2*z3 + 
    29515500*ln2^2*z3^2 + 321835500*z2*z3^2 + 850311000*ln2*z2*z5 - 
    587293875*z3*z5)/7056000, H[0, 0, -1, 1, -1, 0, -1, 0, 1] -> 
  (2257920*li4half^2 + 188160*li4half*ln2^4 + 3920*ln2^8 - 725760*ln2^2*s6 + 
    204120*s8a - 4495680*s8b + 1451520*s8c - 1451520*s8d - 
    1128960*li4half*ln2^2*z2 - 47040*ln2^6*z2 + 4314240*s6*z2 - 
    2477664*li4half*z2^2 + 37884*ln2^4*z2^2 + 764568*ln2^2*z2^3 + 
    1048779*z2^4 - 2177280*li5half*z3 + 1128960*li4half*ln2*z3 + 
    65184*ln2^5*z3 - 463680*ln2^3*z2*z3 - 1609272*ln2*z2^2*z3 - 
    204120*ln2^2*z3^2 - 929880*z2*z3^2 - 4354560*ln2*z2*z5 + 3100545*z3*z5)/
   282240, H[0, 0, -1, 1, -1, 0, -1, -1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    57120000*ln2^2*s6 - 7392000*ln2*s7a + 67872000*ln2*s7b + 35908950*s8a + 
    213864000*s8b + 34944000*s8c + 21504000*s8d - 42336000*li4half*ln2^2*z2 - 
    1764000*ln2^6*z2 - 47712000*s6*z2 - 45091200*li4half*z2^2 + 
    3413200*ln2^4*z2^2 + 49543200*ln2^2*z2^3 + 20253272*z2^4 - 
    90048000*li5half*z3 + 101136000*li4half*ln2*z3 + 4964400*ln2^5*z3 - 
    32788000*ln2^3*z2*z3 - 83689200*ln2*z2^2*z3 - 4746000*ln2^2*z3^2 - 
    31794000*z2*z3^2 - 72912000*ln2^3*z5 - 306558000*ln2*z2*z5 + 
    53119500*z3*z5 + 238641375*ln2*z7)/9408000, 
 H[0, 0, -1, 1, -1, -1, 1, 1, 1] -> 
  (-25401600*li4half^2 - 158054400*li8half - 1881600*li5half*ln2^3 - 
    1646400*li4half*ln2^4 - 12740*ln2^8 + 28425600*ln2^2*s6 - 69789825*s8a - 
    442612800*s8b - 56851200*s8c - 23587200*s8d + 50803200*li6half*z2 + 
    5644800*li5half*ln2*z2 - 141120*ln2^6*z2 + 128318400*s6*z2 + 
    6854400*li4half*z2^2 + 2908080*ln2^4*z2^2 - 6234480*ln2^2*z2^3 - 
    3853512*z2^4 + 82454400*li5half*z3 - 1411200*li4half*ln2*z3 - 
    745920*ln2^5*z3 + 4401600*ln2^3*z2*z3 + 66790080*ln2*z2^2*z3 + 
    7994700*ln2^2*z3^2 + 53090100*z2*z3^2 - 4101300*ln2^3*z5 + 
    182857500*ln2*z2*z5 - 85843800*z3*z5)/5644800, 
 H[0, 0, -1, 1, -1, -1, 1, 0, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 - 
    103824000*ln2^2*s6 + 219150225*s8a + 1380960000*s8b + 207648000*s8c + 
    88704000*s8d - 28224000*li5half*ln2*z2 - 127008000*li4half*ln2^2*z2 - 
    5056800*ln2^6*z2 - 325584000*s6*z2 - 172065600*li4half*z2^2 - 
    3347400*ln2^4*z2^2 + 83714400*ln2^2*z2^3 + 56768256*z2^4 - 
    424368000*li5half*z3 + 91728000*li4half*ln2*z3 + 7358400*ln2^5*z3 - 
    58296000*ln2^3*z2*z3 - 389440800*ln2*z2^2*z3 - 29200500*ln2^2*z3^2 - 
    184180500*z2*z3^2 - 684463500*ln2*z2*z5 + 579166875*z3*z5)/28224000, 
 H[0, 0, -1, 1, -1, -1, 1, -1, 1] -> 
  (338688000*li4half^2 + 1128960000*li8half - 112896000*li7half*ln2 + 
    18816000*li5half*ln2^3 + 23520000*li4half*ln2^4 + 285600*ln2^8 - 
    181440000*ln2^2*s6 - 32256000*ln2*s7a + 38304000*ln2*s7b + 
    424412100*s8a + 2542176000*s8b + 427392000*s8c + 165312000*s8d + 
    169344000*li6half*z2 + 366912000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2195200*ln2^6*z2 - 507024000*s6*z2 - 
    157449600*li4half*z2^2 - 37195200*ln2^4*z2^2 + 67082400*ln2^2*z2^3 - 
    42773184*z2^4 - 584640000*li5half*z3 + 162288000*li4half*ln2*z3 + 
    11634000*ln2^5*z3 - 46956000*ln2^3*z2*z3 - 486813600*ln2*z2^2*z3 - 
    100422000*ln2^2*z3^2 - 429912000*z2*z3^2 - 27342000*ln2^3*z5 - 
    2173500000*ln2*z2*z5 + 599130000*z3*z5 + 1487280375*ln2*z7)/56448000, 
 H[0, 0, -1, 1, -1, -1, 0, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 6720000*ln2^2*s6 + 
    18552975*s8a + 94752000*s8b + 13440000*s8c + 6720000*s8d + 
    8064000*li6half*z2 - 2688000*li5half*ln2*z2 - 672000*li4half*ln2^2*z2 + 
    5600*ln2^6*z2 - 23184000*s6*z2 + 436800*li4half*z2^2 - 
    457800*ln2^4*z2^2 + 1671600*ln2^2*z2^3 - 298524*z2^4 - 
    20160000*li5half*z3 - 1680000*li4half*ln2*z3 + 98000*ln2^5*z3 - 
    1260000*ln2^3*z2*z3 - 15099000*ln2*z2^2*z3 - 1890000*ln2^2*z3^2 - 
    18165000*z2*z3^2 - 46179000*ln2*z2*z5 + 37264500*z3*z5)/1344000, 
 H[0, 0, -1, 1, -1, -1, 0, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    14515200*ln2^2*s6 - 43915725*s8a - 224784000*s8b - 29030400*s8c - 
    21772800*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 + 
    68947200*s6*z2 - 10846080*li4half*z2^2 - 1157520*ln2^4*z2^2 - 
    3366720*ln2^2*z2^3 + 7929828*z2^4 + 43545600*li5half*z3 - 
    5644800*li4half*ln2*z3 - 598080*ln2^5*z3 + 5040000*ln2^3*z2*z3 + 
    32132520*ln2*z2^2*z3 + 4082400*ln2^2*z3^2 + 29887200*z2*z3^2 + 
    87091200*ln2*z2*z5 - 87930675*z3*z5)/2822400, 
 H[0, 0, -1, 1, -1, -1, 0, -1, 1] -> 
  (-15360000*ln2^2*s6 + 6624000*ln2*s7a - 4128000*ln2*s7b + 24372600*s8a + 
    127512000*s8b + 17472000*s8c + 12768000*s8d - 6048000*li6half*z2 - 
    672000*li5half*ln2*z2 + 336000*li4half*ln2^2*z2 + 11200*ln2^6*z2 - 
    42336000*s6*z2 + 1293600*li4half*z2^2 + 39900*ln2^4*z2^2 + 
    6276000*ln2^2*z2^3 + 2254506*z2^4 - 26208000*li5half*z3 + 
    3192000*li4half*ln2*z3 + 351400*ln2^5*z3 - 2982000*ln2^3*z2*z3 - 
    21318900*ln2*z2^2*z3 + 5823000*ln2^2*z3^2 - 18537750*z2*z3^2 + 
    10416000*ln2^3*z5 - 41418750*ln2*z2*z5 + 40401375*z3*z5 - 
    37060875*ln2*z7)/672000, H[0, 0, -1, 1, -1, -1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 56448000*li8half + 28224000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 236600*ln2^8 + 
    175392000*ln2^2*s6 - 244350225*s8a - 701064000*s8b - 237888000*s8c + 
    5040000*s8d - 310464000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 + 1038800*ln2^6*z2 - 27720000*s6*z2 + 
    50400000*li4half*z2^2 - 3780000*ln2^4*z2^2 - 92761200*ln2^2*z2^3 + 
    18404964*z2^4 + 187488000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    3620400*ln2^5*z3 + 20916000*ln2^3*z2*z3 + 210861000*ln2*z2^2*z3 + 
    40068000*ln2^2*z3^2 + 223839000*z2*z3^2 + 20506500*ln2^3*z5 + 
    732847500*ln2*z2*z5 - 337735125*z3*z5)/28224000, 
 H[0, 0, -1, 1, -1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    53424000*ln2^2*s6 - 207279450*s8a - 1683360000*s8b - 106848000*s8c - 
    231840000*s8d + 28224000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1960000*ln2^6*z2 + 689472000*s6*z2 - 
    182548800*li4half*z2^2 + 11797800*ln2^4*z2^2 - 5090400*ln2^2*z2^3 + 
    49767408*z2^4 + 160272000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    1016400*ln2^5*z3 - 756000*ln2^3*z2*z3 + 125962200*ln2*z2^2*z3 + 
    15025500*ln2^2*z3^2 + 173848500*z2*z3^2 + 382063500*ln2*z2*z5 - 
    272215125*z3*z5)/28224000, H[0, 0, -1, 1, -1, -1, -1, -1, 1] -> 
  (254016000*li4half^2 - 564480000*li8half - 112896000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    25872000*li4half*ln2^4 + 723800*ln2^8 - 421344000*ln2^2*s6 + 
    211680000*ln2*s7a + 183456000*ln2*s7b + 297063900*s8a + 1507968000*s8b + 
    193536000*s8c + 187488000*s8d - 254016000*li6half*z2 - 
    127008000*li4half*ln2^2*z2 - 7291200*ln2^6*z2 - 572544000*s6*z2 - 
    157248000*li4half*z2^2 + 23906400*ln2^4*z2^2 + 269337600*ln2^2*z2^3 + 
    162246384*z2^4 - 544320000*li5half*z3 + 444528000*li4half*ln2*z3 + 
    23058000*ln2^5*z3 - 156492000*ln2^3*z2*z3 - 528796800*ln2*z2^2*z3 + 
    224154000*ln2^2*z3^2 - 191898000*z2*z3^2 - 13671000*ln2^3*z5 - 
    1118628000*ln2*z2*z5 + 662240250*z3*z5 + 223201125*ln2*z7)/56448000, 
 H[0, 0, -1, 0, 1, 1, 1, 1, 1] -> (201600*li4half^2 + 16800*li4half*ln2^4 + 
    350*ln2^8 - 40950*s8a - 100800*li4half*ln2^2*z2 - 4200*ln2^6*z2 - 
    20160*li4half*z2^2 + 11760*ln2^4*z2^2 + 5040*ln2^2*z2^3 - 47148*z2^4 - 
    352800*li5half*z3 + 2940*ln2^5*z3 - 29400*ln2^3*z2*z3 - 
    17640*ln2*z2^2*z3 + 80325*z2*z3^2 + 374850*z3*z5)/201600, 
 H[0, 0, -1, 0, 1, 1, 1, 0, 1] -> (-2247*s8a - 4032*li4half*z2^2 - 
    168*ln2^4*z2^2 + 1008*ln2^2*z2^3 + 2860*z2^4 - 3528*ln2*z2^2*z3 + 
    4032*z2*z3^2 - 13349*z3*z5)/1792, H[0, 0, -1, 0, 1, 1, 1, -1, 1] -> 
  (-10584000*ln2^2*s6 + 8668800*ln2*s7a + 1612800*ln2*s7b + 6304725*s8a + 
    70358400*s8b + 3830400*s8c + 13104000*s8d + 5644800*li6half*z2 + 
    7840*ln2^6*z2 - 33264000*s6*z2 + 1280160*li4half*z2^2 - 
    64260*ln2^4*z2^2 + 1859760*ln2^2*z2^3 - 916872*z2^4 - 
    21974400*li5half*z3 + 4939200*li4half*ln2*z3 + 388920*ln2^5*z3 - 
    1478400*ln2^3*z2*z3 - 13768020*ln2*z2^2*z3 + 10297350*ln2^2*z3^2 - 
    2332575*z2*z3^2 + 6835500*ln2^3*z5 - 10584000*ln2*z2*z5 + 
    11231325*z3*z5 + 5961375*ln2*z7)/2822400, 
 H[0, 0, -1, 0, 1, 1, 0, 1, 1] -> 
  (2906925*s8a - 1564012*z2^4 - 3055500*z2*z3^2 + 12584250*z3*z5)/672000, 
 H[0, 0, -1, 0, 1, 1, 0, 0, 1] -> (-21700*s8a - 29277*z2^4 + 126000*z2*z3^2 - 
    48125*z3*z5)/56000, H[0, 0, -1, 0, 1, 1, 0, -1, 1] -> 
  (49350*s8a - 436800*s8b - 120389*z2^4 - 66675*z2*z3^2 + 656250*z3*z5 + 
    866775*ln2*z7)/67200, H[0, 0, -1, 0, 1, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    11088000*ln2^2*s6 + 26380725*s8a - 145152000*s8b + 1344000*s8c - 
    29568000*s8d + 112896000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 127344000*s6*z2 - 
    268800*li4half*z2^2 + 576800*ln2^4*z2^2 - 2352000*ln2^2*z2^3 - 
    29194664*z2^4 + 70896000*li5half*z3 - 590800*ln2^5*z3 - 
    9968000*ln2^3*z2*z3 + 28177800*ln2*z2^2*z3 - 11802000*ln2^2*z3^2 - 
    59514000*z2*z3^2 - 49455000*ln2*z2*z5 + 108882375*z3*z5)/9408000, 
 H[0, 0, -1, 0, 1, 1, -1, 0, 1] -> 
  (403200*ln2^2*s6 - 747950*s8a + 772800*s8b - 806400*s8c + 806400*s8d - 
    1416800*s6*z2 + 490560*li4half*z2^2 + 20440*ln2^4*z2^2 - 
    115080*ln2^2*z2^3 - 214077*z2^4 - 201600*li5half*z3 + 1680*ln2^5*z3 - 
    16800*ln2^3*z2*z3 + 204120*ln2*z2^2*z3 + 113400*ln2^2*z3^2 + 
    896350*z2*z3^2 + 2419200*ln2*z2*z5 - 1745800*z3*z5)/156800, 
 H[0, 0, -1, 0, 1, 1, -1, -1, 1] -> (47880000*ln2^2*s6 - 43344000*ln2*s7a + 
    6048000*ln2*s7b - 69222825*s8a - 374976000*s8b - 44352000*s8c - 
    40320000*s8d + 56448000*li6half*z2 + 78400*ln2^6*z2 + 149436000*s6*z2 - 
    8064000*li4half*z2^2 - 1512000*ln2^4*z2^2 - 30945600*ln2^2*z2^3 - 
    11391342*z2^4 + 158256000*li5half*z3 - 1318800*ln2^5*z3 + 
    29064000*ln2^3*z2*z3 + 79121700*ln2*z2^2*z3 - 30523500*ln2^2*z3^2 + 
    40485375*z2*z3^2 - 47848500*ln2^3*z5 + 113746500*ln2*z2*z5 - 
    174762000*z3*z5 + 110431125*ln2*z7)/14112000, 
 H[0, 0, -1, 0, 1, 0, 1, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 5621175*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 806400*li4half*z2^2 - 
    470400*ln2^4*z2^2 - 201600*ln2^2*z2^3 + 3073572*z2^4 + 
    14112000*li5half*z3 - 117600*ln2^5*z3 + 1176000*ln2^3*z2*z3 + 
    705600*ln2*z2^2*z3 + 7875000*z2*z3^2 - 37044000*z3*z5)/2016000, 
 H[0, 0, -1, 0, 1, 0, 1, 0, 1] -> (-26775*s8a + 504000*li4half*z2^2 + 
    21000*ln2^4*z2^2 - 126000*ln2^2*z2^3 - 89619*z2^4 + 441000*ln2*z2^2*z3 - 
    252000*z2*z3^2 - 130375*z3*z5)/56000, H[0, 0, -1, 0, 1, 0, 1, -1, 1] -> 
  (9408000*ln2^2*s6 - 15456000*ln2*s7a - 15456000*ln2*s7b + 7356825*s8a + 
    3696000*s8b + 12096000*s8c - 12096000*s8d + 24192000*s6*z2 + 
    2049600*li4half*z2^2 + 85400*ln2^4*z2^2 - 3519600*ln2^2*z2^3 + 
    5834097*z2^4 + 24192000*li5half*z3 - 16464000*li4half*ln2*z3 - 
    887600*ln2^5*z3 + 6132000*ln2^3*z2*z3 + 24593100*ln2*z2^2*z3 - 
    21021000*ln2^2*z3^2 - 10836000*z2*z3^2 + 1396500*ln2*z2*z5 - 
    27615000*z3*z5 - 123165000*ln2*z7)/2352000, 
 H[0, 0, -1, 0, 1, 0, 0, 1, 1] -> (167825*s8a - 76588*z2^4 - 63000*z2*z3^2 + 
    430500*z3*z5)/112000, H[0, 0, -1, 0, 1, 0, 0, 0, 1] -> 
  (3*(-6300*s8a + 47*z2^4 - 5250*z3*z5))/28000, 
 H[0, 0, -1, 0, 1, 0, 0, -1, 1] -> (-37800*s8a - 4588*z2^4 + 15750*z2*z3^2 + 
    28875*z3*z5)/56000, H[0, 0, -1, 0, 1, 0, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    10080000*ln2^2*s6 - 9810675*s8a + 24192000*s8b + 20160000*s8c - 
    20160000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    40320000*s6*z2 - 15321600*li4half*z2^2 + 2889600*ln2^4*z2^2 + 
    3326400*ln2^2*z2^3 + 21275532*z2^4 - 157248000*li5half*z3 + 
    1310400*ln2^5*z3 - 13104000*ln2^3*z2*z3 - 88187400*ln2*z2^2*z3 + 
    24948000*ln2^2*z3^2 + 30744000*z2*z3^2 - 14175000*ln2*z2*z5 + 
    6607125*z3*z5)/14112000, H[0, 0, -1, 0, 1, 0, -1, 0, 1] -> 
  (3*(278*z2^4 - 2625*z2*z3^2 + 3325*z3*z5))/5600, 
 H[0, 0, -1, 0, 1, 0, -1, -1, 1] -> (-2016000*ln2^2*s6 + 4032000*ln2*s7a + 
    4032000*ln2*s7b - 2628675*s8a + 5040000*s8b - 4032000*s8c + 4032000*s8d - 
    8064000*s6*z2 + 806400*li4half*z2^2 + 33600*ln2^4*z2^2 + 
    604800*ln2^2*z2^3 - 859468*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 
    672000*ln2^3*z2*z3 - 1990800*ln2*z2^2*z3 + 2520000*ln2^2*z3^2 + 
    3269000*z2*z3^2 + 252000*ln2*z2*z5 + 2167375*z3*z5 + 18128250*ln2*z7)/
   1568000, H[0, 0, -1, 0, 1, -1, 1, 1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    15792000*ln2^2*s6 - 16568475*s8a - 5376000*s8b + 31584000*s8c - 
    50400000*s8d - 112896000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    744800*ln2^6*z2 + 20832000*s6*z2 - 40185600*li4half*z2^2 - 
    1086400*ln2^4*z2^2 + 12910800*ln2^2*z2^3 + 50179264*z2^4 - 
    113232000*li5half*z3 + 943600*ln2^5*z3 + 6440000*ln2^3*z2*z3 - 
    62046600*ln2*z2^2*z3 - 4441500*ln2^2*z3^2 + 48709500*z2*z3^2 - 
    7595000*ln2^3*z5 - 71967000*ln2*z2*z5 - 53573625*z3*z5)/9408000, 
 H[0, 0, -1, 0, 1, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    8064000*ln2^2*s6 + 7923825*s8a - 30744000*s8b + 16128000*s8c - 
    16128000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    32256000*s6*z2 + 39816000*li4half*z2^2 - 1869000*ln2^4*z2^2 - 
    9223200*ln2^2*z2^3 + 3042477*z2^4 + 102816000*li5half*z3 - 
    856800*ln2^5*z3 + 8568000*ln2^3*z2*z3 + 52012800*ln2*z2^2*z3 - 
    2268000*ln2^2*z3^2 - 26208000*z2*z3^2 - 65472750*ln2*z2*z5 - 
    99043875*z3*z5)/7056000, H[0, 0, -1, 0, 1, -1, 1, -1, 1] -> 
  (10080000*ln2^2*s6 + 17640000*ln2*s7b - 18402300*s8a - 91224000*s8b - 
    20160000*s8c - 8064000*s8d - 56448000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1136800*ln2^6*z2 - 
    1512000*s6*z2 + 1915200*li4half*z2^2 + 4783800*ln2^4*z2^2 - 
    4611600*ln2^2*z2^3 + 9250782*z2^4 + 30240000*li5half*z3 + 
    24696000*li4half*ln2*z3 + 777000*ln2^5*z3 - 19530000*ln2^3*z2*z3 + 
    21949200*ln2*z2^2*z3 + 2835000*ln2^2*z3^2 + 33201000*z2*z3^2 - 
    11392500*ln2^3*z5 + 100500750*ln2*z2*z5 - 83120625*z3*z5 + 
    21278250*ln2*z7)/7056000, H[0, 0, -1, 0, 1, -1, 0, 1, 1] -> 
  (-3225600*li4half^2 - 268800*li4half*ln2^4 - 5600*ln2^8 + 
    1612800*ln2^2*s6 - 721350*s8a - 3225600*s8b - 3225600*s8c + 3225600*s8d + 
    1612800*li4half*ln2^2*z2 + 67200*ln2^6*z2 - 4435200*s6*z2 + 
    1411200*li4half*z2^2 - 142800*ln2^4*z2^2 - 272160*ln2^2*z2^3 - 
    2105238*z2^4 + 4838400*li5half*z3 - 40320*ln2^5*z3 + 403200*ln2^3*z2*z3 + 
    3908520*ln2*z2^2*z3 + 453600*ln2^2*z3^2 - 163800*z2*z3^2 + 
    7723800*ln2*z2*z5 + 2890125*z3*z5)/403200, 
 H[0, 0, -1, 0, 1, -1, 0, 0, 1] -> 
  (4725*s8a + 504000*s8b + 940800*li4half*z2^2 + 39200*ln2^4*z2^2 - 
    235200*ln2^2*z2^3 - 349884*z2^4 + 567000*ln2*z2^2*z3 + 189000*z2*z3^2 - 
    406875*z3*z5)/112000, H[0, 0, -1, 0, 1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 64512000*ln2*s7a - 64512000*ln2*s7b + 28849275*s8a - 
    44856000*s8b + 72576000*s8c - 72576000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 148680000*s6*z2 + 31348800*li4half*z2^2 - 
    2221800*ln2^4*z2^2 - 20941200*ln2^2*z2^3 + 17878809*z2^4 + 
    145152000*li5half*z3 - 98784000*li4half*ln2*z3 - 5325600*ln2^5*z3 + 
    36792000*ln2^3*z2*z3 + 76910400*ln2*z2^2*z3 - 90846000*ln2^2*z3^2 - 
    58952250*z2*z3^2 - 45312750*ln2*z2*z5 - 75946500*z3*z5 - 
    360060750*ln2*z7)/7056000, H[0, 0, -1, 0, 1, -1, -1, 1, 1] -> 
  (-29568000*ln2^2*s6 + 57869700*s8a + 231840000*s8b + 26208000*s8c + 
    49056000*s8d + 56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 
    705600*ln2^6*z2 - 105168000*s6*z2 + 403200*li4half*z2^2 - 
    2335200*ln2^4*z2^2 + 30651600*ln2^2*z2^3 - 15799228*z2^4 - 
    100464000*li5half*z3 + 837200*ln2^5*z3 - 8372000*ln2^3*z2*z3 - 
    51454200*ln2*z2^2*z3 + 13807500*ln2^2*z3^2 - 58758000*z2*z3^2 + 
    7595000*ln2^3*z5 - 135733500*ln2*z2*z5 + 237481125*z3*z5)/9408000, 
 H[0, 0, -1, 0, 1, -1, -1, 0, 1] -> 
  (6048000*ln2^2*s6 - 8621025*s8a + 22176000*s8b - 12096000*s8c + 
    12096000*s8d - 28308000*s6*z2 + 16060800*li4half*z2^2 + 
    669200*ln2^4*z2^2 - 3901800*ln2^2*z2^3 - 6430959*z2^4 - 
    3024000*li5half*z3 + 25200*ln2^5*z3 - 252000*ln2^3*z2*z3 + 
    8353800*ln2*z2^2*z3 + 1701000*ln2^2*z3^2 + 12783750*z2*z3^2 + 
    41984250*ln2*z2*z5 - 28649250*z3*z5)/2352000, 
 H[0, 0, -1, 0, 1, -1, -1, -1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    72576000*ln2^2*s6 - 56448000*ln2*s7a - 155232000*ln2*s7b + 19542600*s8a + 
    163800000*s8b + 66528000*s8c - 38304000*s8d + 56448000*li6half*z2 + 
    70560000*li4half*ln2^2*z2 + 3018400*ln2^6*z2 + 51912000*s6*z2 + 
    101001600*li4half*z2^2 - 5787600*ln2^4*z2^2 - 70887600*ln2^2*z2^3 + 
    3066636*z2^4 + 189504000*li5half*z3 - 246960000*li4half*ln2*z3 - 
    11869200*ln2^5*z3 + 93408000*ln2^3*z2*z3 + 181654200*ln2*z2^2*z3 - 
    132394500*ln2^2*z3^2 - 43942500*z2*z3^2 + 72912000*ln2^3*z5 + 
    259497000*ln2*z2*z5 - 222240375*z3*z5 - 913421250*ln2*z7)/28224000, 
 H[0, 0, -1, 0, 0, 1, 1, 1, 1] -> (2016000*li4half^2 + 168000*li4half*ln2^4 + 
    3500*ln2^8 + 978075*s8a - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 
    201600*li4half*z2^2 + 117600*ln2^4*z2^2 + 50400*ln2^2*z2^3 - 22668*z2^4 - 
    3528000*li5half*z3 + 29400*ln2^5*z3 - 294000*ln2^3*z2*z3 - 
    176400*ln2*z2^2*z3 + 299250*z2*z3^2 + 913500*z3*z5)/1008000, 
 H[0, 0, -1, 0, 0, 1, 1, 0, 1] -> (-86275*s8a - 504000*li4half*z2^2 - 
    21000*ln2^4*z2^2 + 126000*ln2^2*z2^3 + 64296*z2^4 - 441000*ln2*z2^2*z3 + 
    851375*z3*z5)/112000, H[0, 0, -1, 0, 0, 1, 1, -1, 1] -> 
  (26880000*ln2^2*s6 - 2688000*ln2*s7a + 25536000*ln2*s7b - 69010725*s8a - 
    341712000*s8b - 48384000*s8c - 36288000*s8d + 120792000*s6*z2 - 
    11726400*li4half*z2^2 - 488600*ln2^4*z2^2 - 11222400*ln2^2*z2^3 + 
    1113604*z2^4 + 72576000*li5half*z3 + 16464000*li4half*ln2*z3 + 
    81200*ln2^5*z3 + 1932000*ln2^3*z2*z3 + 31571400*ln2*z2^2*z3 + 
    3444000*ln2^2*z3^2 + 48084750*z2*z3^2 - 27342000*ln2^3*z5 + 
    32655000*ln2*z2*z5 - 100135875*z3*z5 + 221718000*ln2*z7)/4704000, 
 H[0, 0, -1, 0, 0, 1, 0, 1, 1] -> 
  (-131075*s8a + 67388*z2^4 + 157500*z2*z3^2 - 586250*z3*z5)/112000, 
 H[0, 0, -1, 0, 0, 1, 0, 0, 1] -> (9*(79*z2^4 - 375*z3*z5))/800, 
 H[0, 0, -1, 0, 0, 1, 0, -1, 1] -> (137025*s8a + 1176000*s8b + 222844*z2^4 + 
    78750*z2*z3^2 - 1204875*z3*z5 - 2333625*ln2*z7)/112000, 
 H[0, 0, -1, 0, 0, 1, -1, 1, 1] -> (-38304000*ln2^2*s6 + 59882025*s8a + 
    308784000*s8b + 48384000*s8c + 36288000*s8d - 105504000*s6*z2 + 
    7257600*li4half*z2^2 + 302400*ln2^4*z2^2 + 19706400*ln2^2*z2^3 - 
    1063316*z2^4 - 72576000*li5half*z3 + 604800*ln2^5*z3 - 
    6048000*ln2^3*z2*z3 - 53524800*ln2*z2^2*z3 - 1512000*ln2^2*z3^2 - 
    50400000*z2*z3^2 - 142726500*ln2*z2*z5 + 119815500*z3*z5)/4704000, 
 H[0, 0, -1, 0, 0, 1, -1, 0, 1] -> 
  (3*(26775*s8a + 168000*s8b - 112000*s6*z2 + 5924*z2^4 + 42000*z2*z3^2 - 
     126000*z3*z5))/112000, H[0, 0, -1, 0, 0, 1, -1, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    2880000*ln2^2*s6 + 3168000*ln2*s7a - 8928000*ln2*s7b + 1956150*s8a + 
    16128000*s8b + 2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 
    2520000*s6*z2 + 3024000*li4half*z2^2 - 126000*ln2^4*z2^2 - 
    3560400*ln2^2*z2^3 + 1933224*z2^4 - 7056000*li4half*ln2*z3 - 
    294000*ln2^5*z3 + 1764000*ln2^3*z2*z3 + 5212800*ln2*z2^2*z3 + 
    1692000*ln2^2*z3^2 + 1968750*z2*z3^2 + 11718000*ln2^3*z5 + 
    26604000*ln2*z2*z5 - 16293375*z3*z5 - 68955750*ln2*z7)/2016000, 
 H[0, 0, -1, 0, 0, 0, 1, 1, 1] -> 
  (-326025*s8a - 115244*z2^4 - 504000*z2*z3^2 + 1911000*z3*z5)/336000, 
 H[0, 0, -1, 0, 0, 0, 1, 0, 1] -> (3*(24150*s8a + 619*z2^4 - 28000*z3*z5))/
   28000, H[0, 0, -1, 0, 0, 0, 1, -1, 1] -> 
  (326025*s8a - 840000*s8b - 672000*s6*z2 - 306556*z2^4 + 
    189000*ln2*z2^2*z3 + 220500*z2*z3^2 + 4725000*ln2*z2*z5 + 448875*z3*z5 - 
    4667250*ln2*z7)/336000, H[0, 0, -1, 0, 0, 0, 0, 1, 1] -> 
  (-3*(12075*s8a + 412*z2^4 - 14000*z3*z5))/56000, 
 H[0, 0, -1, 0, 0, 0, 0, 0, 1] -> (-1143*z2^4)/400, 
 H[0, 0, -1, 0, 0, 0, 0, -1, 1] -> 
  (-3*(4725*s8a + 56000*s8b + 9862*z2^4 - 44625*z3*z5 - 111125*ln2*z7))/
   11200, H[0, 0, -1, 0, 0, 0, -1, 1, 1] -> 
  (46575*s8a + 456000*s8b - 192000*s6*z2 + 10412*z2^4 - 27000*ln2*z2^2*z3 + 
    18000*z2*z3^2 - 117000*ln2*z2*z5 - 88875*z3*z5)/48000, 
 H[0, 0, -1, 0, 0, 0, -1, 0, 1] -> (-3*(6300*s8a - 4667*z2^4 + 26250*z3*z5))/
   28000, H[0, 0, -1, 0, 0, 0, -1, -1, 1] -> 
  (-326025*s8a - 2688000*s8b - 460904*z2^4 - 42000*z2*z3^2 + 2218125*z3*z5 + 
    5334000*ln2*z7)/336000, H[0, 0, -1, 0, 0, -1, 1, 1, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 + 
    9576000*ln2^2*s6 - 20487600*s8a - 87192000*s8b - 19152000*s8c - 
    2016000*s8d + 3528000*li4half*ln2^2*z2 + 147000*ln2^6*z2 + 
    26964000*s6*z2 + 1008000*li4half*z2^2 - 399000*ln2^4*z2^2 - 
    6180300*ln2^2*z2^3 - 2721876*z2^4 + 28728000*li5half*z3 - 
    239400*ln2^5*z3 + 2394000*ln2^3*z2*z3 + 21186900*ln2*z2^2*z3 + 
    2693250*ln2^2*z3^2 + 6481125*z2*z3^2 + 6835500*ln2^3*z5 + 
    36949500*ln2*z2*z5 - 13600125*z3*z5)/3528000, 
 H[0, 0, -1, 0, 0, -1, 1, 0, 1] -> 
  (3*(26775*s8a - 168000*s8b - 37496*z2^4 + 217000*ln2*z2*z5 + 126000*z3*z5))/
   112000, H[0, 0, -1, 0, 0, -1, 1, -1, 1] -> 
  (-22176000*ln2^2*s6 + 6048000*ln2*s7a - 8064000*ln2*s7b + 41664525*s8a + 
    212520000*s8b + 32256000*s8c + 24192000*s8d - 75432000*s6*z2 + 
    4838400*li4half*z2^2 + 201600*ln2^4*z2^2 + 10760400*ln2^2*z2^3 - 
    2189501*z2^4 - 48384000*li5half*z3 + 403200*ln2^5*z3 - 
    4032000*ln2^3*z2*z3 - 33364800*ln2*z2^2*z3 + 3024000*ln2^2*z3^2 - 
    35952000*z2*z3^2 + 9114000*ln2^3*z5 - 64590750*ln2*z2*z5 + 
    91024500*z3*z5 - 45370500*ln2*z7)/2352000, 
 H[0, 0, -1, 0, 0, -1, 0, 1, 1] -> (-945*s8a - 26880*s6*z2 - 2078*z2^4 + 
    21420*z2*z3^2 + 52080*ln2*z2*z5 - 42210*z3*z5)/4480, 
 H[0, 0, -1, 0, 0, -1, 0, 0, 1] -> (-9*(49*z2^4 - 375*z3*z5))/800, 
 H[0, 0, -1, 0, 0, -1, 0, -1, 1] -> (178325*s8a - 504000*s8b - 336000*s6*z2 - 
    171718*z2^4 + 169750*z2*z3^2 + 651000*ln2*z2*z5 + 198625*z3*z5 + 
    1000125*ln2*z7)/112000, H[0, 0, -1, 0, 0, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    83664000*ln2^2*s6 - 107452800*s8a - 634032000*s8b - 82656000*s8c - 
    86688000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 
    194544000*s6*z2 - 11692800*li4half*z2^2 - 2251200*ln2^4*z2^2 - 
    37573200*ln2^2*z2^3 + 1052412*z2^4 + 222768000*li5half*z3 - 
    1856400*ln2^5*z3 + 18564000*ln2^3*z2*z3 + 114899400*ln2*z2^2*z3 - 
    15057000*ln2^2*z3^2 + 126378000*z2*z3^2 - 27342000*ln2^3*z5 + 
    343224000*ln2*z2*z5 - 356918625*z3*z5)/14112000, 
 H[0, 0, -1, 0, 0, -1, -1, 0, 1] -> (-11900*s8a + 33600*s6*z2 + 6813*z2^4 - 
    21175*z2*z3^2 - 65100*ln2*z2*z5 + 28175*z3*z5)/11200, 
 H[0, 0, -1, 0, 0, -1, -1, -1, 1] -> 
  (1680000*ln2^2*s6 - 3360000*ln2*s7a + 2284800*ln2*s7b - 3551625*s8a - 
    27484800*s8b - 2284800*s8c - 3360000*s8d + 9542400*s6*z2 - 
    672000*li4half*z2^2 - 28000*ln2^4*z2^2 - 504000*ln2^2*z2^3 - 
    489424*z2^4 + 6720000*li5half*z3 - 56000*ln2^5*z3 + 560000*ln2^3*z2*z3 + 
    3105480*ln2*z2^2*z3 - 2100000*ln2^2*z3^2 + 2757300*z2*z3^2 - 
    3645600*ln2^3*z5 - 33600*ln2*z2*z5 - 5666325*z3*z5 + 19985700*ln2*z7)/
   940800, H[0, 0, -1, 0, -1, 1, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    38304000*ln2^2*s6 - 36979425*s8a + 46368000*s8b - 76608000*s8c + 
    97776000*s8d + 56448000*li6half*z2 + 7056000*li4half*ln2^2*z2 + 
    372400*ln2^6*z2 - 156744000*s6*z2 + 50601600*li4half*z2^2 + 
    50400*ln2^4*z2^2 - 15548400*ln2^2*z2^3 - 46448148*z2^4 - 
    12096000*li5half*z3 + 100800*ln2^5*z3 + 3402000*ln2^3*z2*z3 + 
    78397200*ln2*z2^2*z3 + 10773000*ln2^2*z3^2 + 47423250*z2*z3^2 + 
    229824000*ln2*z2*z5 - 80695125*z3*z5)/14112000, 
 H[0, 0, -1, 0, -1, 1, 1, 0, 1] -> (-6720000*ln2^2*s6 + 10110975*s8a - 
    2688000*s8b + 13440000*s8c - 13440000*s8d + 26880000*s6*z2 - 
    44553600*li4half*z2^2 - 1856400*ln2^4*z2^2 + 10424400*ln2^2*z2^3 + 
    10541616*z2^4 + 3360000*li5half*z3 - 28000*ln2^5*z3 + 
    280000*ln2^3*z2*z3 - 43680000*ln2*z2^2*z3 - 1890000*ln2^2*z3^2 - 
    8977500*z2*z3^2 - 40320000*ln2*z2*z5 + 66199875*z3*z5)/4704000, 
 H[0, 0, -1, 0, -1, 1, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    69552000*ln2^2*s6 + 110880000*ln2*s7a + 181440000*ln2*s7b - 
    162346275*s8a - 979776000*s8b - 82656000*s8c - 129024000*s8d + 
    169344000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 940800*ln2^6*z2 + 
    399168000*s6*z2 - 130233600*li4half*z2^2 - 8954400*ln2^4*z2^2 + 
    56070000*ln2^2*z2^3 + 16532016*z2^4 + 145152000*li5half*z3 + 
    296352000*li4half*ln2*z3 + 11138400*ln2^5*z3 - 61992000*ln2^3*z2*z3 - 
    165438000*ln2*z2^2*z3 + 150223500*ln2^2*z3^2 + 73899000*z2*z3^2 - 
    68355000*ln2^3*z5 - 628551000*ln2*z2*z5 - 39375*z3*z5 + 
    1682777250*ln2*z7)/28224000, H[0, 0, -1, 0, -1, 1, 0, 1, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    8064000*ln2^2*s6 + 9753975*s8a + 16128000*s8b + 16128000*s8c - 
    16128000*s8d - 8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 + 
    27216000*s6*z2 - 4032000*li4half*z2^2 + 840000*ln2^4*z2^2 + 
    604800*ln2^2*z2^3 + 7139136*z2^4 - 24192000*li5half*z3 + 
    201600*ln2^5*z3 - 2016000*ln2^3*z2*z3 - 16896600*ln2*z2^2*z3 - 
    2268000*ln2^2*z3^2 - 10678500*z2*z3^2 - 48384000*ln2*z2*z5 + 
    17978625*z3*z5)/2016000, H[0, 0, -1, 0, -1, 1, 0, 0, 1] -> 
  (-209475*s8a - 504000*s8b + 67200*li4half*z2^2 + 2800*ln2^4*z2^2 - 
    16800*ln2^2*z2^3 + 136704*z2^4 + 315000*ln2*z2^2*z3 + 52500*z2*z3^2 - 
    939750*z3*z5)/112000, H[0, 0, -1, 0, -1, 1, 0, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    5644800*ln2^2*s6 - 9676800*ln2*s7a - 9676800*ln2*s7b + 4827375*s8a + 
    11793600*s8b + 8064000*s8c - 8064000*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 + 17186400*s6*z2 + 8406720*li4half*z2^2 - 
    355320*ln2^4*z2^2 - 3996720*ln2^2*z2^3 + 4869069*z2^4 + 
    16128000*li5half*z3 - 19756800*li4half*ln2*z3 - 957600*ln2^5*z3 + 
    6283200*ln2^3*z2*z3 + 12559680*ln2*z2^2*z3 - 13230000*ln2^2*z3^2 - 
    3898125*z2*z3^2 + 4233600*ln2*z2*z5 - 32956875*z3*z5 - 91113750*ln2*z7)/
   1411200, H[0, 0, -1, 0, -1, 1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    40320000*ln2^2*s6 + 32519025*s8a + 252000000*s8b + 10080000*s8c + 
    32256000*s8d - 451584000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 3684800*ln2^6*z2 - 304416000*s6*z2 + 
    82656000*li4half*z2^2 + 23436000*ln2^4*z2^2 - 4132800*ln2^2*z2^3 + 
    36040164*z2^4 + 76608000*li5half*z3 - 638400*ln2^5*z3 - 
    28896000*ln2^3*z2*z3 + 9311400*ln2*z2^2*z3 + 31878000*ln2^2*z3^2 + 
    47565000*z2*z3^2 + 270081000*ln2*z2*z5 - 45950625*z3*z5)/28224000, 
 H[0, 0, -1, 0, -1, 1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    8064000*ln2^2*s6 + 3161025*s8a - 30744000*s8b + 16128000*s8c - 
    16128000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    23436000*s6*z2 - 56145600*li4half*z2^2 + 1188600*ln2^4*z2^2 + 
    14767200*ln2^2*z2^3 + 18089649*z2^4 - 94752000*li5half*z3 + 
    789600*ln2^5*z3 - 7896000*ln2^3*z2*z3 - 31953600*ln2*z2^2*z3 - 
    2268000*ln2^2*z3^2 + 2401875*z2*z3^2 - 48384000*ln2*z2*z5 + 
    73276875*z3*z5)/7056000, H[0, 0, -1, 0, -1, 1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    6048000*ln2^2*s6 - 18144000*ln2*s7a - 51072000*ln2*s7b + 69216525*s8a + 
    305256000*s8b + 71904000*s8c - 1344000*s8d - 56448000*li6half*z2 + 
    42336000*li4half*ln2^2*z2 + 1685600*ln2^6*z2 - 59640000*s6*z2 + 
    25603200*li4half*z2^2 - 6577200*ln2^4*z2^2 + 3074400*ln2^2*z2^3 + 
    26950684*z2^4 - 58464000*li5half*z3 - 82320000*li4half*ln2*z3 - 
    2942800*ln2^5*z3 + 24528000*ln2^3*z2*z3 - 10999800*ln2*z2^2*z3 - 
    43890000*ln2^2*z3^2 - 39081000*z2*z3^2 + 31899000*ln2^3*z5 - 
    64659000*ln2*z2*z5 + 17485125*z3*z5 - 390130125*ln2*z7)/9408000, 
 H[0, 0, -1, 0, -1, 0, 1, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 855225*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 806400*li4half*z2^2 - 
    470400*ln2^4*z2^2 - 201600*ln2^2*z2^3 - 1849104*z2^4 + 
    14112000*li5half*z3 - 117600*ln2^5*z3 + 1176000*ln2^3*z2*z3 + 
    705600*ln2*z2^2*z3 - 5260500*z2*z3^2 + 11505375*z3*z5)/2016000, 
 H[0, 0, -1, 0, -1, 0, 1, 0, 1] -> 
  (3*(8925*s8a + 84000*li4half*z2^2 + 3500*ln2^4*z2^2 - 21000*ln2^2*z2^3 - 
     14192*z2^4 + 73500*ln2*z2^2*z3 - 8750*z2*z3^2 - 100625*z3*z5))/28000, 
 H[0, 0, -1, 0, -1, 0, 1, -1, 1] -> (9408000*ln2^2*s6 - 6048000*ln2*s7a - 
    6048000*ln2*s7b + 1175475*s8a + 13104000*s8b - 6720000*s8c + 
    6720000*s8d - 18144000*s6*z2 + 5812800*li4half*z2^2 + 242200*ln2^4*z2^2 - 
    2343600*ln2^2*z2^3 - 3704859*z2^4 - 13440000*li5half*z3 - 
    16464000*li4half*ln2*z3 - 574000*ln2^5*z3 + 2996000*ln2^3*z2*z3 + 
    14376600*ln2*z2^2*z3 - 6615000*ln2^2*z3^2 + 4819500*z2*z3^2 + 
    62732250*ln2*z2*z5 + 2189250*z3*z5 - 97201125*ln2*z7)/2352000, 
 H[0, 0, -1, 0, -1, 0, 0, 1, 1] -> 
  (-289800*s8a + 163792*z2^4 + 367500*z2*z3^2 - 1420125*z3*z5)/112000, 
 H[0, 0, -1, 0, -1, 0, 0, 0, 1] -> 
  (3*(24150*s8a - 30461*z2^4 + 148750*z3*z5))/28000, 
 H[0, 0, -1, 0, -1, 0, 0, -1, 1] -> (-47950*s8a - 336000*s8b - 55022*z2^4 - 
    3500*z2*z3^2 + 264775*z3*z5 + 666750*ln2*z7)/22400, 
 H[0, 0, -1, 0, -1, 0, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 24697575*s8a + 87696000*s8b + 76608000*s8c - 
    76608000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    96768000*s6*z2 - 26611200*li4half*z2^2 + 2419200*ln2^4*z2^2 + 
    4737600*ln2^2*z2^3 + 49439052*z2^4 - 44352000*li5half*z3 + 
    369600*ln2^5*z3 - 3696000*ln2^3*z2*z3 - 54759600*ln2*z2^2*z3 - 
    26208000*ln2^2*z3^2 - 1890000*z2*z3^2 - 214609500*ln2*z2*z5 - 
    129827250*z3*z5)/14112000, H[0, 0, -1, 0, -1, 0, -1, 0, 1] -> 
  (3*(26775*s8a - 20651*z2^4 - 43750*z2*z3^2 + 182000*z3*z5))/56000, 
 H[0, 0, -1, 0, -1, 0, -1, -1, 1] -> 
  (3360000*ln2^2*s6 - 6720000*ln2*s7a - 6720000*ln2*s7b + 3914400*s8a - 
    28392000*s8b + 6720000*s8c - 6720000*s8d + 13440000*s6*z2 - 
    1344000*li4half*z2^2 - 56000*ln2^4*z2^2 - 1008000*ln2^2*z2^3 - 
    4909656*z2^4 + 13440000*li5half*z3 - 112000*ln2^5*z3 + 
    1120000*ln2^3*z2*z3 + 3318000*ln2*z2^2*z3 - 4200000*ln2^2*z3^2 - 
    13125000*z2*z3^2 - 420000*ln2*z2*z5 + 42406875*z3*z5 + 9457875*ln2*z7)/
   4704000, H[0, 0, -1, 0, -1, -1, 1, 1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    25200000*ln2^2*s6 - 30603825*s8a - 4032000*s8b - 50400000*s8c + 
    43344000*s8d + 112896000*li6half*z2 + 21168000*li4half*ln2^2*z2 + 
    1038800*ln2^6*z2 - 16128000*s6*z2 + 12902400*li4half*z2^2 - 
    4460400*ln2^4*z2^2 - 25729200*ln2^2*z2^3 - 38812272*z2^4 + 
    68544000*li5half*z3 - 571200*ln2^5*z3 + 14532000*ln2^3*z2*z3 + 
    42172200*ln2*z2^2*z3 + 7087500*ln2^2*z3^2 - 23829750*z2*z3^2 + 
    15949500*ln2^3*z5 + 103351500*ln2*z2*z5 + 53904375*z3*z5)/14112000, 
 H[0, 0, -1, 0, -1, -1, 1, 0, 1] -> 
  (-6720000*ln2^2*s6 + 9434775*s8a - 23856000*s8b + 13440000*s8c - 
    13440000*s8d + 26880000*s6*z2 + 19185600*li4half*z2^2 + 
    799400*ln2^4*z2^2 - 5510400*ln2^2*z2^3 + 126624*z2^4 + 
    3360000*li5half*z3 - 28000*ln2^5*z3 + 280000*ln2^3*z2*z3 + 
    16737000*ln2*z2^2*z3 - 1890000*ln2^2*z3^2 - 13387500*z2*z3^2 - 
    24370500*ln2*z2*z5 - 16726500*z3*z5)/4704000, 
 H[0, 0, -1, 0, -1, -1, 1, -1, 1] -> 
  (-9744000*ln2^2*s6 - 9408000*ln2*s7a - 32928000*ln2*s7b + 57633975*s8a + 
    277872000*s8b + 38304000*s8c + 22848000*s8d + 56448000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 392000*ln2^6*z2 - 56280000*s6*z2 + 
    17976000*li4half*z2^2 + 4277000*ln2^4*z2^2 + 11272800*ln2^2*z2^3 - 
    7237784*z2^4 - 69216000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1481200*ln2^5*z3 - 2240000*ln2^3*z2*z3 + 1285200*ln2*z2^2*z3 - 
    17146500*ln2^2*z3^2 - 55996500*z2*z3^2 + 12152000*ln2^3*z5 - 
    1648500*ln2*z2*z5 + 91347375*z3*z5 - 388043250*ln2*z7)/9408000, 
 H[0, 0, -1, 0, -1, -1, 0, 1, 1] -> (-32235*s8a - 94080*s6*z2 + 15272*z2^4 + 
    132720*z2*z3^2 + 182280*ln2*z2*z5 - 366135*z3*z5)/26880, 
 H[0, 0, -1, 0, -1, -1, 0, 0, 1] -> 
  (203525*s8a - 314256*z2^4 + 70000*z2*z3^2 + 1545250*z3*z5)/112000, 
 H[0, 0, -1, 0, -1, -1, 0, -1, 1] -> 
  (-639975*s8a - 10752000*s8b - 1176000*s6*z2 - 1905956*z2^4 + 
    1044750*z2*z3^2 + 2278500*ln2*z2*z5 + 5740875*z3*z5 + 21336000*ln2*z7)/
   672000, H[0, 0, -1, 0, -1, -1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    44352000*ln2^2*s6 - 42561225*s8a - 499464000*s8b + 10080000*s8c - 
    165312000*s8d + 112896000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    431200*ln2^6*z2 + 295344000*s6*z2 - 38707200*li4half*z2^2 - 
    2200800*ln2^4*z2^2 - 48232800*ln2^2*z2^3 + 25998384*z2^4 + 
    175392000*li5half*z3 - 1461600*ln2^5*z3 + 23436000*ln2^3*z2*z3 + 
    40710600*ln2*z2^2*z3 - 52353000*ln2^2*z3^2 + 119007000*z2*z3^2 - 
    31899000*ln2^3*z5 + 202608000*ln2*z2*z5 - 497203875*z3*z5)/28224000, 
 H[0, 0, -1, 0, -1, -1, -1, 0, 1] -> 
  (-218925*s8a + 392000*s6*z2 - 2908*z2^4 - 544250*z2*z3^2 - 
    759500*ln2*z2*z5 + 1447250*z3*z5)/224000, 
 H[0, 0, -1, 0, -1, -1, -1, -1, 1] -> 
  (2016000*ln2^2*s6 - 4032000*ln2*s7a + 672000*ln2*s7b - 3440325*s8a - 
    31416000*s8b - 672000*s8c - 4032000*s8d + 10416000*s6*z2 - 
    806400*li4half*z2^2 - 33600*ln2^4*z2^2 - 604800*ln2^2*z2^3 - 
    1373632*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 + 672000*ln2^3*z2*z3 + 
    3196200*ln2*z2^2*z3 - 2520000*ln2^2*z3^2 + 934500*z2*z3^2 - 
    3038000*ln2^3*z5 - 105000*ln2*z2*z5 + 1414875*z3*z5 + 24950625*ln2*z7)/
   1344000, H[0, 0, -1, -1, 1, 1, 1, 1, 1] -> 
  (4032000*li8half + 100*ln2^8 - 527625*s8a - 4032000*s8b - 1008000*s8d - 
    3225600*li6half*z2 - 7280*ln2^6*z2 + 1713600*s6*z2 - 
    524160*li4half*z2^2 + 24360*ln2^4*z2^2 + 197280*ln2^2*z2^3 + 
    493308*z2^4 - 100800*li5half*z3 + 6720*ln2^5*z3 - 67200*ln2^3*z2*z3 - 
    40320*ln2*z2^2*z3 + 907200*z2*z3^2 - 1466325*z3*z5)/403200, 
 H[0, 0, -1, -1, 1, 1, 1, 0, 1] -> 
  (-1128960*li4half^2 - 94080*li4half*ln2^4 - 1960*ln2^8 - 443520*ln2^2*s6 + 
    3522645*s8a + 34453440*s8b + 887040*s8c + 6451200*s8d + 
    564480*li4half*ln2^2*z2 + 23520*ln2^6*z2 - 16571520*s6*z2 + 
    2080512*li4half*z2^2 - 301392*ln2^4*z2^2 + 62496*ln2^2*z2^3 - 
    1222560*z2^4 - 766080*li5half*z3 - 1975680*li4half*ln2*z3 - 
    75936*ln2^5*z3 + 594720*ln2^3*z2*z3 - 2350152*ln2*z2^2*z3 - 
    1112580*ln2^2*z3^2 - 1556100*z2*z3^2 - 2661120*ln2*z2*z5 + 1468845*z3*z5)/
   1128960, H[0, 0, -1, -1, 1, 1, 1, -1, 1] -> 
  (-22579200*li4half^2 - 22579200*li8half + 22579200*li7half*ln2 - 
    1881600*li4half*ln2^4 - 44240*ln2^8 - 4032000*ln2^2*s6 - 
    2822400*ln2*s7a + 2822400*ln2*s7b + 15885450*s8a + 142329600*s8b + 
    13708800*s8c + 22982400*s8d - 50803200*li6half*z2 - 
    84672000*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 + 509600*ln2^6*z2 - 
    89712000*s6*z2 + 23224320*li4half*z2^2 - 1795920*ln2^4*z2^2 - 
    8638560*ln2^2*z2^3 + 1901664*z2^4 - 14918400*li5half*z3 - 
    39513600*li4half*ln2*z3 - 1686720*ln2^5*z3 + 9928800*ln2^3*z2*z3 - 
    8568000*ln2*z2^2*z3 - 14099400*ln2^2*z3^2 - 3798900*z2*z3^2 - 
    5468400*ln2^3*z5 + 15498000*ln2*z2*z5 + 30866850*z3*z5 + 40605075*ln2*z7)/
   11289600, H[0, 0, -1, -1, 1, 1, 0, 1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 - 
    19152000*ln2^2*s6 + 65516850*s8a + 317268000*s8b + 38304000*s8c + 
    32256000*s8d + 98784000*li6half*z2 - 21168000*li4half*ln2^2*z2 - 
    744800*ln2^6*z2 - 80388000*s6*z2 - 17892000*li4half*z2^2 - 
    157500*ln2^4*z2^2 + 8038800*ln2^2*z2^3 - 14612004*z2^4 - 
    113904000*li5half*z3 + 37044000*li4half*ln2*z3 + 2492700*ln2^5*z3 - 
    16695000*ln2^3*z2*z3 - 67510800*ln2*z2^2*z3 + 12363750*ln2^2*z3^2 - 
    61968375*z2*z3^2 - 114912000*ln2*z2*z5 + 165508875*z3*z5)/7056000, 
 H[0, 0, -1, -1, 1, 1, 0, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    20664000*ln2^2*s6 - 66383100*s8a - 384048000*s8b - 41328000*s8c - 
    43344000*s8d + 7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 
    129024000*s6*z2 - 29836800*li4half*z2^2 - 2125200*ln2^4*z2^2 - 
    2847600*ln2^2*z2^3 + 8447994*z2^4 + 65520000*li5half*z3 - 
    24696000*li4half*ln2*z3 - 1575000*ln2^5*z3 + 11634000*ln2^3*z2*z3 + 
    46557000*ln2*z2^2*z3 - 362250*ln2^2*z3^2 + 52164000*z2*z3^2 + 
    123984000*ln2*z2*z5 - 85987125*z3*z5)/7056000, 
 H[0, 0, -1, -1, 1, 1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    29304000*ln2^2*s6 + 15696000*ln2*s7a - 4464000*ln2*s7b + 41614650*s8a + 
    215712000*s8b + 27216000*s8c + 29232000*s8d - 2016000*li6half*z2 - 
    4032000*li4half*ln2^2*z2 - 170800*ln2^6*z2 - 86436000*s6*z2 - 
    1310400*li4half*z2^2 + 491400*ln2^4*z2^2 + 13487400*ln2^2*z2^3 - 
    2452446*z2^4 - 70560000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    1176000*ln2^5*z3 - 9114000*ln2^3*z2*z3 - 45103500*ln2*z2^2*z3 + 
    16895250*ln2^2*z3^2 - 31759875*z2*z3^2 + 19530000*ln2^3*z5 - 
    67905000*ln2*z2*z5 + 108832500*z3*z5 - 12254625*ln2*z7)/2016000, 
 H[0, 0, -1, -1, 1, 1, -1, 1, 1] -> 
  (169344000*li4half^2 - 564480000*li8half + 28224000*li6half*ln2^2 + 
    14112000*li4half*ln2^4 + 319200*ln2^8 + 196560000*ln2^2*s6 - 
    334744200*s8a - 2038176000*s8b - 280224000*s8c - 185472000*s8d + 
    112896000*li6half*z2 + 169344000*li5half*ln2*z2 - 1450400*ln2^6*z2 + 
    617904000*s6*z2 - 149990400*li4half*z2^2 - 1957200*ln2^4*z2^2 - 
    16884000*ln2^2*z2^3 + 20756628*z2^4 + 250992000*li5half*z3 + 
    148176000*li4half*ln2*z3 + 3670800*ln2^5*z3 - 9366000*ln2^3*z2*z3 + 
    236791800*ln2*z2^2*z3 + 76119750*ln2^2*z3^2 + 240486750*z2*z3^2 + 
    657436500*ln2*z2*z5 - 217121625*z3*z5)/28224000, 
 H[0, 0, -1, -1, 1, 1, -1, 0, 1] -> 
  (-16934400*li4half^2 - 1411200*li4half*ln2^4 - 29400*ln2^8 + 
    2318400*ln2^2*s6 - 10320975*s8a - 52416000*s8b - 4636800*s8c - 
    6652800*s8d + 2822400*li6half*z2 + 8467200*li4half*ln2^2*z2 + 
    356720*ln2^6*z2 + 24595200*s6*z2 + 7560000*li4half*z2^2 - 
    273000*ln2^4*z2^2 - 3129840*ln2^2*z2^3 + 129222*z2^4 + 
    21772800*li5half*z3 - 9878400*li4half*ln2*z3 - 593040*ln2^5*z3 + 
    3872400*ln2^3*z2*z3 + 10500840*ln2*z2^2*z3 - 3361050*ln2^2*z3^2 + 
    6421275*z2*z3^2 + 13910400*ln2*z2*z5 - 29858850*z3*z5)/2822400, 
 H[0, 0, -1, -1, 1, 1, -1, -1, 1] -> 
  (112896000*li4half^2 + 1806336000*li8half + 112896000*li7half*ln2 - 
    56448000*li6half*ln2^2 + 9408000*li4half*ln2^4 + 140000*ln2^8 - 
    592704000*ln2^2*s6 + 116928000*ln2*s7a + 46368000*ln2*s7b + 
    985471200*s8a + 5626656000*s8b + 725760000*s8c + 516096000*s8d + 
    225792000*li6half*z2 - 141120000*li4half*ln2^2*z2 - 5174400*ln2^6*z2 - 
    1497888000*s6*z2 + 4435200*li4half*z2^2 + 15237600*ln2^4*z2^2 + 
    164152800*ln2^2*z2^3 - 119049408*z2^4 - 1060416000*li5half*z3 + 
    296352000*li4half*ln2*z3 + 22008000*ln2^5*z3 - 174216000*ln2^3*z2*z3 - 
    929980800*ln2*z2^2*z3 + 100327500*ln2^2*z3^2 - 825678000*z2*z3^2 + 
    68355000*ln2^3*z5 - 2311281000*ln2*z2*z5 + 1196921250*z3*z5 + 
    209577375*ln2*z7)/56448000, H[0, 0, -1, -1, 1, 0, 1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    3696000*ln2^2*s6 - 7569975*s8a + 49224000*s8b - 7392000*s8c + 
    7392000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    31248000*s6*z2 + 26409600*li4half*z2^2 - 2427600*ln2^4*z2^2 - 
    13221600*ln2^2*z2^3 - 4830976*z2^4 + 98112000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 2875600*ln2^5*z3 + 20524000*ln2^3*z2*z3 + 
    33167400*ln2*z2^2*z3 - 21598500*ln2^2*z3^2 + 10101000*z2*z3^2 + 
    22176000*ln2*z2*z5 - 97720875*z3*z5)/9408000, 
 H[0, 0, -1, -1, 1, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 31643325*s8a - 46368000*s8b + 76608000*s8c - 
    76608000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    153216000*s6*z2 + 35481600*li4half*z2^2 + 5006400*ln2^4*z2^2 + 
    554400*ln2^2*z2^3 + 29056032*z2^4 - 30240000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 4368000*ln2^5*z3 - 27216000*ln2^3*z2*z3 + 
    3276000*ln2*z2^2*z3 + 13923000*ln2^2*z3^2 - 67158000*z2*z3^2 - 
    229824000*ln2*z2*z5 - 63952875*z3*z5)/14112000, 
 H[0, 0, -1, -1, 1, 0, 1, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    21369600*ln2^2*s6 - 13305600*ln2*s7a - 7660800*ln2*s7b - 31274775*s8a - 
    190108800*s8b - 16128000*s8c - 34675200*s8d + 33868800*li6half*z2 + 
    33868800*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 470400*ln2^6*z2 + 
    107452800*s6*z2 - 12720960*li4half*z2^2 + 2292360*ln2^4*z2^2 - 
    7333200*ln2^2*z2^3 + 5684934*z2^4 + 89107200*li5half*z3 + 
    9878400*li4half*ln2*z3 - 330960*ln2^5*z3 + 1251600*ln2^3*z2*z3 + 
    50367240*ln2*z2^2*z3 - 11894400*ln2^2*z3^2 + 17983350*z2*z3^2 - 
    5468400*ln2^3*z5 + 46764900*ln2*z2*z5 - 134906625*z3*z5 - 
    94739400*ln2*z7)/2822400, H[0, 0, -1, -1, 1, 0, 0, 1, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 
    2520000*ln2^2*s6 - 2663325*s8a - 9072000*s8b - 5040000*s8c + 
    5040000*s8d + 1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 - 5040000*s6*z2 + 
    1411200*li4half*z2^2 - 67200*ln2^4*z2^2 - 226800*ln2^2*z2^3 - 
    2767152*z2^4 + 1008000*li5half*z3 - 8400*ln2^5*z3 + 84000*ln2^3*z2*z3 + 
    3798900*ln2*z2^2*z3 + 1370250*ln2^2*z3^2 + 1811250*z2*z3^2 + 
    15120000*ln2*z2*z5 + 4260375*z3*z5)/1008000, 
 H[0, 0, -1, -1, 1, 0, 0, 0, 1] -> 
  (105525*s8a + 1064000*s8b + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 
    310800*ln2^2*z2^3 - 121496*z2^4 + 68600*ln2*z2^2*z3 + 73500*z2*z3^2 - 
    231000*z3*z5)/112000, H[0, 0, -1, -1, 1, 0, 0, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    115920000*ln2^2*s6 - 43344000*ln2*s7a + 41328000*ln2*s7b - 
    199810800*s8a - 1025136000*s8b - 145152000*s8c - 108864000*s8d + 
    7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 + 341208000*s6*z2 - 
    11188800*li4half*z2^2 - 1348200*ln2^4*z2^2 - 47426400*ln2^2*z2^3 - 
    5669448*z2^4 + 238896000*li5half*z3 - 24696000*li4half*ln2*z3 - 
    3019800*ln2^5*z3 + 26082000*ln2^3*z2*z3 + 164524500*ln2*z2^2*z3 - 
    38398500*ln2^2*z3^2 + 155389500*z2*z3^2 - 82026000*ln2^3*z5 + 
    311409000*ln2*z2*z5 - 349579125*z3*z5 + 293005125*ln2*z7)/7056000, 
 H[0, 0, -1, -1, 1, 0, -1, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    9408000*ln2^2*s6 + 23416050*s8a + 116928000*s8b + 13440000*s8c + 
    18816000*s8d + 32256000*li6half*z2 + 4032000*li4half*ln2^2*z2 + 
    212800*ln2^6*z2 - 35616000*s6*z2 + 8332800*li4half*z2^2 - 
    828800*ln2^4*z2^2 + 2061600*ln2^2*z2^3 - 9154472*z2^4 - 
    41328000*li5half*z3 - 9408000*li4half*ln2*z3 - 47600*ln2^5*z3 + 
    672000*ln2^3*z2*z3 - 20382600*ln2*z2^2*z3 - 1396500*ln2^2*z3^2 - 
    23289000*z2*z3^2 - 33799500*ln2*z2*z5 + 68798625*z3*z5)/1344000, 
 H[0, 0, -1, -1, 1, 0, -1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    2016000*ln2^2*s6 - 1626975*s8a + 31651200*s8b + 4032000*s8c - 
    4032000*s8d - 5644800*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 
    2419200*s6*z2 + 8507520*li4half*z2^2 + 1060080*ln2^4*z2^2 - 
    3134880*ln2^2*z2^3 + 2889468*z2^4 + 16531200*li5half*z3 + 
    19756800*li4half*ln2*z3 + 685440*ln2^5*z3 - 3561600*ln2^3*z2*z3 - 
    1690920*ln2*z2^2*z3 + 3137400*ln2^2*z3^2 + 834750*z2*z3^2 - 
    12096000*ln2*z2*z5 - 50573250*z3*z5)/2822400, 
 H[0, 0, -1, -1, 1, 0, -1, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    14256000*ln2^2*s6 - 1152000*ln2*s7a - 9216000*ln2*s7b - 19889100*s8a - 
    91728000*s8b - 10080000*s8c - 14112000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 29736000*s6*z2 + 3225600*li4half*z2^2 - 
    369600*ln2^4*z2^2 - 10429200*ln2^2*z2^3 - 118956*z2^4 + 
    40320000*li5half*z3 - 14112000*li4half*ln2*z3 - 924000*ln2^5*z3 + 
    6888000*ln2^3*z2*z3 + 28794600*ln2*z2^2*z3 - 7677000*ln2^2*z3^2 + 
    16773750*z2*z3^2 + 7812000*ln2^3*z5 + 57564000*ln2*z2*z5 - 
    57668625*z3*z5 - 21307500*ln2*z7)/4032000, 
 H[0, 0, -1, -1, 1, -1, 1, 1, 1] -> 
  (-42336000*li4half^2 - 282240000*li8half + 9408000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 - 158900*ln2^8 - 121968000*ln2^2*s6 + 
    197264025*s8a + 838152000*s8b + 243936000*s8c - 60480000*s8d + 
    56448000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 3057600*ln2^6*z2 - 34272000*s6*z2 + 
    27417600*li4half*z2^2 - 11029200*ln2^4*z2^2 + 15019200*ln2^2*z2^3 + 
    71713944*z2^4 - 6048000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    6535200*ln2^5*z3 + 38010000*ln2^3*z2*z3 - 180860400*ln2*z2^2*z3 - 
    105304500*ln2^2*z3^2 - 182952000*z2*z3^2 - 11392500*ln2^3*z5 - 
    697630500*ln2*z2*z5 + 157358250*z3*z5)/28224000, 
 H[0, 0, -1, -1, 1, -1, 1, 0, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 + 
    5765760*ln2^2*s6 - 15515325*s8a - 81688320*s8b - 11531520*s8c - 
    7096320*s8d + 1128960*li5half*ln2*z2 + 1128960*li4half*ln2^2*z2 + 
    37632*ln2^6*z2 + 23506560*s6*z2 + 3011904*li4half*z2^2 + 
    819336*ln2^4*z2^2 - 3613680*ln2^2*z2^3 - 699408*z2^4 + 
    11652480*li5half*z3 - 97104*ln2^5*z3 + 806400*ln2^3*z2*z3 + 
    18627336*ln2*z2^2*z3 + 2609460*ln2^2*z3^2 + 10950660*z2*z3^2 + 
    33227460*ln2*z2*z5 - 27310815*z3*z5)/1128960, 
 H[0, 0, -1, -1, 1, -1, 1, -1, 1] -> 
  (14112000*li8half - 14112000*li7half*ln2 - 2352000*li5half*ln2^3 + 
    22750*ln2^8 + 9576000*ln2^2*s6 - 10836000*ln2*s7a - 26712000*ln2*s7b + 
    4477725*s8a + 27720000*s8b + 2520000*s8c - 756000*s8d - 
    3528000*li6half*z2 - 3528000*li5half*ln2*z2 - 10584000*li4half*ln2^2*z2 - 
    681100*ln2^6*z2 - 4662000*s6*z2 + 7434000*li4half*z2^2 + 
    3021900*ln2^4*z2^2 - 5172300*ln2^2*z2^3 + 3729591*z2^4 - 
    10836000*li5half*z3 - 18522000*li4half*ln2*z3 - 578550*ln2^5*z3 + 
    3580500*ln2^3*z2*z3 + 31792950*ln2*z2^2*z3 - 12355875*ln2^2*z3^2 + 
    3732750*z2*z3^2 + 18228000*ln2^3*z5 + 104202000*ln2*z2*z5 - 
    39036375*z3*z5 - 258118875*ln2*z7)/7056000, 
 H[0, 0, -1, -1, 1, -1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    186480000*ln2^2*s6 - 393153075*s8a - 1943424000*s8b - 372960000*s8c - 
    50400000*s8d - 395136000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1607200*ln2^6*z2 + 248976000*s6*z2 - 
    75700800*li4half*z2^2 + 11545800*ln2^4*z2^2 + 3150000*ln2^2*z2^3 - 
    532152*z2^4 + 439488000*li5half*z3 + 197568000*li4half*ln2*z3 + 
    4569600*ln2^5*z3 - 21000000*ln2^3*z2*z3 + 347583600*ln2*z2^2*z3 + 
    132709500*ln2^2*z3^2 + 376960500*z2*z3^2 + 1050525000*ln2*z2*z5 - 
    557471250*z3*z5)/28224000, H[0, 0, -1, -1, 1, -1, 0, 0, 1] -> 
  (-1612800*ln2^2*s6 + 4879525*s8a + 24976000*s8b + 3225600*s8c + 
    2419200*s8d - 7660800*s6*z2 + 1800960*li4half*z2^2 + 75040*ln2^4*z2^2 + 
    225120*ln2^2*z2^3 - 928132*z2^4 - 3897600*li5half*z3 + 32480*ln2^5*z3 - 
    324800*ln2^3*z2*z3 - 3172400*ln2*z2^2*z3 - 659400*ln2^2*z3^2 - 
    3026800*z2*z3^2 - 9676800*ln2*z2*z5 + 8204525*z3*z5)/313600, 
 H[0, 0, -1, -1, 1, -1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    530208000*ln2^2*s6 - 231840000*ln2*s7a + 163296000*ln2*s7b - 
    846537300*s8a - 4493160000*s8b - 596736000*s8c - 504000000*s8d + 
    141120000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 548800*ln2^6*z2 + 1600704000*s6*z2 - 
    76104000*li4half*z2^2 - 5523000*ln2^4*z2^2 - 223146000*ln2^2*z2^3 - 
    36746928*z2^4 + 1205568000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    12104400*ln2^5*z3 + 108696000*ln2^3*z2*z3 + 758016000*ln2*z2^2*z3 - 
    199710000*ln2^2*z3^2 + 610060500*z2*z3^2 - 382788000*ln2^3*z5 + 
    1264000500*ln2*z2*z5 - 1599759000*z3*z5 + 1260086625*ln2*z7)/28224000, 
 H[0, 0, -1, -1, 1, -1, -1, 1, 1] -> 
  (-5644800*li4half^2 - 56448000*li8half + 2822400*li6half*ln2^2 - 
    940800*li5half*ln2^3 - 470400*li4half*ln2^4 + 560*ln2^8 + 
    2973600*ln2^2*s6 - 9468900*s8a - 123278400*s8b - 12297600*s8c - 
    6048000*s8d + 22579200*li6half*z2 + 16934400*li5half*ln2*z2 + 
    4939200*li4half*ln2^2*z2 - 1960*ln2^6*z2 + 35028000*s6*z2 - 
    786240*li4half*z2^2 + 555240*ln2^4*z2^2 + 3439800*ln2^2*z2^3 - 
    5638446*z2^4 + 5040000*li5half*z3 - 840*ln2^5*z3 + 8400*ln2^3*z2*z3 + 
    8144640*ln2*z2^2*z3 + 6238575*ln2^2*z3^2 + 3986325*z2*z3^2 + 
    1139250*ln2^3*z5 + 38811150*ln2*z2*z5 + 35669025*z3*z5)/2822400, 
 H[0, 0, -1, -1, 1, -1, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    94752000*ln2^2*s6 + 229652325*s8a + 1999872000*s8b + 189504000*s8c + 
    233856000*s8d + 28224000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 313600*ln2^6*z2 - 711144000*s6*z2 + 
    199886400*li4half*z2^2 - 8723400*ln2^4*z2^2 + 15372000*ln2^2*z2^3 - 
    28058508*z2^4 - 206640000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    3780000*ln2^5*z3 - 25452000*ln2^3*z2*z3 - 197996400*ln2*z2^2*z3 - 
    29736000*ln2^2*z3^2 - 179502750*z2*z3^2 - 534334500*ln2*z2*z5 + 
    66748500*z3*z5)/28224000, H[0, 0, -1, -1, 1, -1, -1, -1, 1] -> 
  (-10080000*li4half^2 + 32256000*li8half - 8064000*li7half*ln2 - 
    4032000*li6half*ln2^2 + 1344000*li5half*ln2^3 - 840000*li4half*ln2^4 - 
    31900*ln2^8 + 29448000*ln2^2*s6 - 15840000*ln2*s7a + 288000*ln2*s7b - 
    30041550*s8a - 122976000*s8b - 18144000*s8c - 16128000*s8d + 
    20160000*li6half*z2 + 5040000*li4half*ln2^2*z2 + 378000*ln2^6*z2 + 
    49392000*s6*z2 + 4435200*li4half*z2^2 - 1461600*ln2^4*z2^2 - 
    17618400*ln2^2*z2^3 - 6922188*z2^4 + 60480000*li5half*z3 - 
    17640000*li4half*ln2*z3 - 1297800*ln2^5*z3 + 9912000*ln2^3*z2*z3 + 
    39531600*ln2*z2^2*z3 - 20603250*ln2^2*z3^2 + 19199250*z2*z3^2 - 
    17251500*ln2^3*z5 + 53082000*ln2*z2*z5 - 85294125*z3*z5 + 
    44048250*ln2*z7)/4032000, H[0, 0, -1, -1, 0, 1, 1, 1, 1] -> 
  (161280*li4half^2 + 13440*li4half*ln2^4 + 280*ln2^8 + 35595*s8a - 
    80640*li4half*ln2^2*z2 - 3360*ln2^6*z2 - 12096*li4half*z2^2 + 
    9576*ln2^4*z2^2 + 3024*ln2^2*z2^3 - 17820*z2^4 - 141120*li5half*z3 + 
    141120*li4half*ln2*z3 + 7056*ln2^5*z3 - 47040*ln2^3*z2*z3 - 
    10584*ln2*z2^2*z3 + 61740*ln2^2*z3^2 - 52290*z2*z3^2 + 198135*z3*z5)/
   80640, H[0, 0, -1, -1, 0, 1, 1, 0, 1] -> 
  (122325*s8a - 672000*li4half*z2^2 - 28000*ln2^4*z2^2 + 168000*ln2^2*z2^3 + 
    75612*z2^4 - 588000*ln2*z2^2*z3 - 73500*z2*z3^2 + 1136625*z3*z5)/672000, 
 H[0, 0, -1, -1, 0, 1, 1, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    9273600*ln2^2*s6 + 2822400*ln2*s7a + 8467200*ln2*s7b - 19200825*s8a - 
    65721600*s8b - 24192000*s8c + 7257600*s8d + 11289600*li4half*ln2^2*z2 + 
    470400*ln2^6*z2 - 3931200*s6*z2 + 4838400*li4half*z2^2 - 
    2268000*ln2^4*z2^2 - 4404960*ln2^2*z2^3 - 7324848*z2^4 - 
    31449600*li5half*z3 - 9878400*li4half*ln2*z3 - 149520*ln2^5*z3 + 
    7257600*ln2^3*z2*z3 + 672840*ln2*z2^2*z3 + 6930000*ln2^2*z3^2 + 
    18959850*z2*z3^2 - 5468400*ln2^3*z5 + 42235200*ln2*z2*z5 + 
    22908375*z3*z5 + 64584450*ln2*z7)/5644800, 
 H[0, 0, -1, -1, 0, 1, 0, 1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 - 2823975*s8a + 
    8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 + 8870400*li4half*z2^2 - 
    638400*ln2^4*z2^2 - 2217600*ln2^2*z2^3 - 141336*z2^4 + 
    14112000*li5half*z3 - 14112000*li4half*ln2*z3 - 705600*ln2^5*z3 + 
    4704000*ln2^3*z2*z3 + 7761600*ln2*z2^2*z3 - 6174000*ln2^2*z3^2 + 
    2835000*z2*z3^2 - 22168125*z3*z5)/2016000, 
 H[0, 0, -1, -1, 0, 1, 0, 0, 1] -> (48825*s8a + 268800*li4half*z2^2 + 
    11200*ln2^4*z2^2 - 67200*ln2^2*z2^3 - 44718*z2^4 + 235200*ln2*z2^2*z3 - 
    147000*z2*z3^2 - 107625*z3*z5)/112000, H[0, 0, -1, -1, 0, 1, 0, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    2016000*ln2^2*s6 - 4032000*ln2*s7a - 4032000*ln2*s7b + 2282175*s8a + 
    2520000*s8b + 4032000*s8c - 4032000*s8d + 2016000*li4half*ln2^2*z2 + 
    84000*ln2^6*z2 + 8064000*s6*z2 + 2772000*li4half*z2^2 - 
    136500*ln2^4*z2^2 - 1499400*ln2^2*z2^3 + 1745253*z2^4 + 
    8064000*li5half*z3 - 7056000*li4half*ln2*z3 - 361200*ln2^5*z3 + 
    2436000*ln2^3*z2*z3 + 5121900*ln2*z2^2*z3 - 5607000*ln2^2*z3^2 - 
    2646000*z2*z3^2 - 252000*ln2*z2*z5 - 10497375*z3*z5 - 33130125*ln2*z7)/
   1008000, H[0, 0, -1, -1, 0, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    52080000*ln2^2*s6 + 42331275*s8a + 129696000*s8b + 94752000*s8c - 
    66528000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    114240000*s6*z2 + 3158400*li4half*z2^2 + 5423600*ln2^4*z2^2 + 
    8803200*ln2^2*z2^3 + 44599764*z2^4 + 140112000*li5half*z3 - 
    1167600*ln2^5*z3 - 13020000*ln2^3*z2*z3 - 23646000*ln2*z2^2*z3 - 
    32655000*ln2^2*z3^2 - 47029500*z2*z3^2 - 295942500*ln2*z2*z5 - 
    192160500*z3*z5)/9408000, H[0, 0, -1, -1, 0, 1, -1, 0, 1] -> 
  (2688000*ln2^2*s6 - 1434300*s8a - 2352000*s8b - 5376000*s8c + 5376000*s8d - 
    11088000*s6*z2 - 840000*li4half*z2^2 - 35000*ln2^4*z2^2 + 
    344400*ln2^2*z2^3 - 2741898*z2^4 - 10752000*li5half*z3 - 
    4704000*li4half*ln2*z3 - 106400*ln2^5*z3 + 280000*ln2^3*z2*z3 + 
    2049600*ln2*z2^2*z3 + 756000*ln2^2*z3^2 + 2651250*z2*z3^2 + 
    16128000*ln2*z2*z5 + 15196125*z3*z5)/672000, 
 H[0, 0, -1, -1, 0, 1, -1, -1, 1] -> 
  (-645120*li4half^2 - 53760*li4half*ln2^4 - 1120*ln2^8 + 466560*ln2^2*s6 - 
    184320*ln2*s7a - 345600*ln2*s7b - 68040*s8a + 120960*s8b - 403200*s8c + 
    403200*s8d + 564480*li4half*ln2^2*z2 + 23520*ln2^6*z2 - 584640*s6*z2 + 
    604800*li4half*z2^2 - 75600*ln2^4*z2^2 - 255744*ln2^2*z2^3 - 
    251280*z2^4 - 1290240*li5half*z3 - 1411200*li4half*ln2*z3 - 
    48048*ln2^5*z3 + 456960*ln2^3*z2*z3 + 415872*ln2*z2^2*z3 - 
    212760*ln2^2*z3^2 + 183330*z2*z3^2 + 156240*ln2^3*z5 + 
    2229840*ln2*z2*z5 + 1155735*z3*z5 - 2751480*ln2*z7)/161280, 
 H[0, 0, -1, -1, 0, 0, 1, 1, 1] -> (201600*li4half^2 + 16800*li4half*ln2^4 + 
    350*ln2^8 - 100800*li4half*ln2^2*z2 - 4200*ln2^6*z2 - 
    63840*li4half*z2^2 + 9940*ln2^4*z2^2 + 15960*ln2^2*z2^3 + 9642*z2^4 - 
    235200*li5half*z3 + 117600*li4half*ln2*z3 + 6860*ln2^5*z3 - 
    49000*ln2^3*z2*z3 - 55860*ln2*z2^2*z3 + 51450*ln2^2*z3^2 + 143325*z3*z5)/
   33600, H[0, 0, -1, -1, 0, 0, 1, 0, 1] -> 
  (36225*s8a - 386400*li4half*z2^2 - 16100*ln2^4*z2^2 + 96600*ln2^2*z2^3 + 
    65766*z2^4 - 338100*ln2*z2^2*z3 + 36750*z2*z3^2 + 399000*z3*z5)/56000, 
 H[0, 0, -1, -1, 0, 0, 1, -1, 1] -> (80640*li4half^2 + 6720*li4half*ln2^4 + 
    140*ln2^8 - 201600*ln2^2*s6 + 201600*ln2*s7a + 201600*ln2*s7b - 
    100800*s8b - 40320*li4half*ln2^2*z2 - 1680*ln2^6*z2 + 20160*s6*z2 - 
    137088*li4half*z2^2 - 672*ln2^4*z2^2 + 69552*ln2^2*z2^3 + 4824*z2^4 + 
    423360*li4half*ln2*z3 + 17640*ln2^5*z3 - 105840*ln2^3*z2*z3 - 
    341964*ln2*z2^2*z3 + 252000*ln2^2*z3^2 - 25200*z2*z3^2 - 
    592200*ln2*z2*z5 + 240975*z3*z5 + 1566495*ln2*z7)/40320, 
 H[0, 0, -1, -1, 0, 0, 0, 1, 1] -> (1536*li4half*z2^2 + 64*ln2^4*z2^2 - 
    384*ln2^2*z2^3 - 620*z2^4 + 1344*ln2*z2^2*z3 - 900*z2*z3^2 + 1845*z3*z5)/
   1920, H[0, 0, -1, -1, 0, 0, 0, 0, 1] -> 
  (-3*(12075*s8a - 16088*z2^4 + 74375*z3*z5))/56000, 
 H[0, 0, -1, -1, 0, 0, 0, -1, 1] -> 
  (33600*s8b + 9408*li4half*z2^2 + 392*ln2^4*z2^2 - 2352*ln2^2*z2^3 + 
    6812*z2^4 + 8232*ln2*z2^2*z3 + 8610*z2*z3^2 - 67410*z3*z5 - 66675*ln2*z7)/
   13440, H[0, 0, -1, -1, 0, 0, -1, 1, 1] -> 
  (161280*li4half^2 + 13440*li4half*ln2^4 + 280*ln2^8 + 201600*ln2^2*s6 - 
    203490*s8a + 40320*s8b - 403200*s8c + 403200*s8d - 
    80640*li4half*ln2^2*z2 - 3360*ln2^6*z2 - 725760*s6*z2 + 
    48384*li4half*z2^2 + 12096*ln2^4*z2^2 - 2016*ln2^2*z2^3 - 176760*z2^4 - 
    524160*li5half*z3 + 4368*ln2^5*z3 - 43680*ln2^3*z2*z3 + 
    216720*ln2*z2^2*z3 + 118440*ln2^2*z3^2 + 175140*z2*z3^2 + 
    975240*ln2*z2*z5 + 536445*z3*z5)/80640, 
 H[0, 0, -1, -1, 0, 0, -1, 0, 1] -> 
  (19775*s8a - 235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 58800*ln2^2*z2^3 + 
    58704*z2^4 - 205800*ln2*z2^2*z3 + 12250*z2*z3^2 + 151375*z3*z5)/112000, 
 H[0, 0, -1, -1, 0, 0, -1, -1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 504000*ln2^2*s6 + 
    1008000*ln2*s7a + 1008000*ln2*s7b - 508725*s8a + 1008000*s8b - 
    1008000*s8c + 1008000*s8d - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 
    2016000*s6*z2 - 1310400*li4half*z2^2 + 71400*ln2^4*z2^2 + 
    529200*ln2^2*z2^3 - 27666*z2^4 - 2016000*li5half*z3 + 
    3528000*li4half*ln2*z3 + 163800*ln2^5*z3 - 1050000*ln2^3*z2*z3 - 
    1820700*ln2*z2^2*z3 + 2173500*ln2^2*z3^2 + 645750*z2*z3^2 + 
    63000*ln2*z2*z5 + 1228500*z3*z5 + 5032125*ln2*z7)/1008000, 
 H[0, 0, -1, -1, 0, -1, 1, 1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    51408000*ln2^2*s6 - 57687525*s8a - 100800000*s8b - 102816000*s8c + 
    88704000*s8d - 35280000*li4half*ln2^2*z2 - 1470000*ln2^6*z2 - 
    145656000*s6*z2 - 23184000*li4half*z2^2 + 798000*ln2^4*z2^2 + 
    806400*ln2^2*z2^3 - 38499084*z2^4 - 219744000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 3889200*ln2^5*z3 - 12138000*ln2^3*z2*z3 + 
    27127800*ln2*z2^2*z3 + 46872000*ln2^2*z3^2 + 61566750*z2*z3^2 + 
    4557000*ln2^3*z5 + 294777000*ln2*z2*z5 + 169092000*z3*z5)/14112000, 
 H[0, 0, -1, -1, 0, -1, 1, 0, 1] -> 
  (-76800*ln2^2*s6 + 91875*s8a + 67200*s8b + 153600*s8c - 153600*s8d + 
    307200*s6*z2 - 124800*li4half*z2^2 - 5200*ln2^4*z2^2 + 27360*ln2^2*z2^3 + 
    83376*z2^4 + 307200*li5half*z3 + 134400*li4half*ln2*z3 + 3040*ln2^5*z3 - 
    8000*ln2^3*z2*z3 - 188760*ln2*z2^2*z3 - 21600*ln2^2*z3^2 - 
    81600*z2*z3^2 - 442200*ln2*z2*z5 - 158400*z3*z5)/19200, 
 H[0, 0, -1, -1, 0, -1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    82656000*ln2^2*s6 + 61152000*ln2*s7a + 51744000*ln2*s7b + 37630950*s8a + 
    114408000*s8b + 43008000*s8c - 5376000*s8d - 42336000*li4half*ln2^2*z2 - 
    1764000*ln2^6*z2 - 3360000*s6*z2 - 42235200*li4half*z2^2 + 
    7060200*ln2^4*z2^2 + 32382000*ln2^2*z2^3 + 10192272*z2^4 + 
    67200000*li5half*z3 + 148176000*li4half*ln2*z3 + 5614000*ln2^5*z3 - 
    56140000*ln2^3*z2*z3 - 106671600*ln2*z2^2*z3 + 70392000*ln2^2*z3^2 - 
    45192000*z2*z3^2 + 6076000*ln2^3*z5 - 310642500*ln2*z2*z5 + 
    33264000*z3*z5 + 475489875*ln2*z7)/9408000, 
 H[0, 0, -1, -1, 0, -1, 0, 1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 414225*s8a + 
    8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 - 2016000*s6*z2 + 
    7963200*li4half*z2^2 - 676200*ln2^4*z2^2 - 1990800*ln2^2*z2^3 - 
    2226564*z2^4 + 14112000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    705600*ln2^5*z3 + 4704000*ln2^3*z2*z3 + 6967800*ln2*z2^2*z3 - 
    6174000*ln2^2*z3^2 - 756000*z2*z3^2 + 3906000*ln2*z2*z5 - 4772250*z3*z5)/
   2016000, H[0, 0, -1, -1, 0, -1, 0, 0, 1] -> 
  (-203525*s8a + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 58800*ln2^2*z2^3 + 
    226056*z2^4 + 205800*ln2*z2^2*z3 - 196000*z2*z3^2 - 1316875*z3*z5)/
   112000, H[0, 0, -1, -1, 0, -1, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b + 5556600*s8a + 
    17640000*s8b + 8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 15120000*s6*z2 + 4939200*li4half*z2^2 - 
    298200*ln2^4*z2^2 - 2847600*ln2^2*z2^3 + 6160716*z2^4 + 
    16128000*li5half*z3 - 14112000*li4half*ln2*z3 - 722400*ln2^5*z3 + 
    4872000*ln2^3*z2*z3 + 9714600*ln2*z2^2*z3 - 11214000*ln2^2*z3^2 - 
    3118500*z2*z3^2 + 1449000*ln2*z2*z5 - 36855000*z3*z5 - 91263375*ln2*z7)/
   2016000, H[0, 0, -1, -1, 0, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    45360000*ln2^2*s6 - 90020700*s8a - 126504000*s8b - 76608000*s8c + 
    48384000*s8d + 35280000*li4half*ln2^2*z2 + 1470000*ln2^6*z2 - 
    36792000*s6*z2 + 16027200*li4half*z2^2 - 6388200*ln2^4*z2^2 - 
    12474000*ln2^2*z2^3 - 8931312*z2^4 + 9072000*li5half*z3 - 
    24696000*li4half*ln2*z3 - 1104600*ln2^5*z3 + 25452000*ln2^3*z2*z3 + 
    70723800*ln2*z2^2*z3 - 7308000*ln2^2*z3^2 + 54479250*z2*z3^2 - 
    4557000*ln2^3*z5 + 134568000*ln2*z2*z5 - 81025875*z3*z5)/14112000, 
 H[0, 0, -1, -1, 0, -1, -1, 0, 1] -> 
  (1978725*s8a + 336000*s6*z2 - 168000*li4half*z2^2 - 7000*ln2^4*z2^2 + 
    42000*ln2^2*z2^3 - 435744*z2^4 - 147000*ln2*z2^2*z3 - 934500*z2*z3^2 - 
    651000*ln2*z2*z5 + 3252375*z3*z5)/672000, 
 H[0, 0, -1, -1, 0, -1, -1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    13104000*ln2^2*s6 - 26208000*ln2*s7a - 12096000*ln2*s7b + 18326700*s8a + 
    16632000*s8b + 12096000*s8c - 26208000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 + 59472000*s6*z2 + 6048000*li4half*z2^2 - 
    630000*ln2^4*z2^2 - 6753600*ln2^2*z2^3 + 19589832*z2^4 + 
    52416000*li5half*z3 - 24696000*li4half*ln2*z3 - 1465800*ln2^5*z3 + 
    10542000*ln2^3*z2*z3 + 26434800*ln2*z2^2*z3 - 27184500*ln2^2*z3^2 - 
    693000*z2*z3^2 - 9114000*ln2^3*z5 - 1197000*ln2*z2*z5 - 129339000*z3*z5 - 
    243628875*ln2*z7)/14112000, H[0, 0, -1, -1, -1, 1, 1, 1, 1] -> 
  (80640*li4half^2 + 806400*li8half + 3360*li4half*ln2^4 + 20*ln2^8 + 
    84420*s8a + 887040*s8b + 161280*s8d - 241920*li6half*z2 - 
    20160*li4half*ln2^2*z2 - 896*ln2^6*z2 - 463680*s6*z2 + 
    22176*li4half*z2^2 + 672*ln2^4*z2^2 + 4176*ln2^2*z2^3 - 56304*z2^4 - 
    292320*li5half*z3 + 70560*li4half*ln2*z3 + 4788*ln2^5*z3 - 
    31920*ln2^3*z2*z3 - 51912*ln2*z2^2*z3 + 35280*ln2^2*z3^2 + 28665*z3*z5)/
   40320, H[0, 0, -1, -1, -1, 1, 1, 0, 1] -> 
  (7056000*li4half^2 + 588000*li4half*ln2^4 + 12250*ln2^8 - 
    16632000*ln2^2*s6 + 37719675*s8a + 168336000*s8b + 33264000*s8c + 
    5544000*s8d - 7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 
    30492000*s6*z2 - 22176000*li4half*z2^2 - 1585500*ln2^4*z2^2 + 
    10369800*ln2^2*z2^3 + 7871958*z2^4 + 29484000*li5half*z3 + 
    26460000*li4half*ln2*z3 + 856800*ln2^5*z3 - 5187000*ln2^3*z2*z3 - 
    43104600*ln2*z2^2*z3 - 3906000*ln2^2*z3^2 - 30681000*z2*z3^2 - 
    99792000*ln2*z2*z5 + 24018750*z3*z5)/7056000, 
 H[0, 0, -1, -1, -1, 1, 1, -1, 1] -> 
  (28224000*li4half^2 - 1580544000*li8half - 112896000*li7half*ln2 + 
    7056000*li4half*ln2^4 + 228200*ln2^8 + 276192000*ln2^2*s6 + 
    26208000*ln2*s7a + 252000000*ln2*s7b - 839755350*s8a - 4853520000*s8b - 
    604800000*s8c - 425376000*s8d - 141120000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 39200*ln2^6*z2 + 1316448000*s6*z2 - 
    151401600*li4half*z2^2 - 3897600*ln2^4*z2^2 - 40168800*ln2^2*z2^3 + 
    107641944*z2^4 + 949536000*li5half*z3 + 246960000*li4half*ln2*z3 + 
    3200400*ln2^5*z3 + 17388000*ln2^3*z2*z3 + 430264800*ln2*z2^2*z3 + 
    111636000*ln2^2*z3^2 + 651168000*z2*z3^2 - 218736000*ln2^3*z5 + 
    987714000*ln2*z2*z5 - 818921250*z3*z5 + 2053603125*ln2*z7)/56448000, 
 H[0, 0, -1, -1, -1, 1, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    43344000*ln2^2*s6 + 75595275*s8a + 360864000*s8b + 86688000*s8c - 
    16128000*s8d + 141120000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 
    784000*ln2^6*z2 + 32256000*s6*z2 + 53928000*li4half*z2^2 - 
    693000*ln2^4*z2^2 - 14691600*ln2^2*z2^3 - 2611836*z2^4 - 
    87696000*li5half*z3 - 105840000*li4half*ln2*z3 - 3679200*ln2^5*z3 + 
    15036000*ln2^3*z2*z3 - 57267000*ln2*z2^2*z3 - 47691000*ln2^2*z3^2 - 
    85412250*z2*z3^2 - 260064000*ln2*z2*z5 + 73497375*z3*z5)/14112000, 
 H[0, 0, -1, -1, -1, 1, 0, 0, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 + 
    3830400*ln2^2*s6 - 8849925*s8a - 41227200*s8b - 7660800*s8c - 
    806400*s8d + 1411200*li4half*ln2^2*z2 + 58800*ln2^6*z2 + 5846400*s6*z2 + 
    544320*li4half*z2^2 - 153720*ln2^4*z2^2 - 1078560*ln2^2*z2^3 - 
    517122*z2^4 - 504000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    289800*ln2^5*z3 + 1722000*ln2^3*z2*z3 + 9797760*ln2*z2^2*z3 + 
    151200*ln2^2*z3^2 + 5547150*z2*z3^2 + 22982400*ln2*z2*z5 - 5870025*z3*z5)/
   1411200, H[0, 0, -1, -1, -1, 1, 0, -1, 1] -> 
  (-127008000*li4half^2 - 10584000*li4half*ln2^4 - 220500*ln2^8 - 
    22176000*ln2^2*s6 - 36288000*ln2*s7a - 92736000*ln2*s7b + 139625325*s8a + 
    659988000*s8b + 116928000*s8c + 38304000*s8d + 14112000*li6half*z2 + 
    56448000*li4half*ln2^2*z2 + 2371600*ln2^6*z2 - 127764000*s6*z2 + 
    111031200*li4half*z2^2 - 1841700*ln2^4*z2^2 - 5997600*ln2^2*z2^3 + 
    6124392*z2^4 - 140112000*li5half*z3 - 215208000*li4half*ln2*z3 - 
    7799400*ln2^5*z3 + 40068000*ln2^3*z2*z3 - 4964400*ln2*z2^2*z3 - 
    69520500*ln2^2*z3^2 - 114597000*z2*z3^2 + 54684000*ln2^3*z5 - 
    76608000*ln2*z2*z5 + 148869000*z3*z5 - 731107125*ln2*z7)/14112000, 
 H[0, 0, -1, -1, -1, 1, -1, 1, 1] -> 
  (-4704000*li4half^2 - 94080000*li8half - 9408000*li6half*ln2^2 + 
    392000*li4half*ln2^4 + 9100*ln2^8 - 26376000*ln2^2*s6 + 4114425*s8a - 
    3024000*s8b + 40992000*s8c - 40992000*s8d - 18816000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 16464000*li4half*ln2^2*z2 - 411600*ln2^6*z2 + 
    69048000*s6*z2 - 1377600*li4half*z2^2 + 3078600*ln2^4*z2^2 + 
    3864000*ln2^2*z2^3 + 35973408*z2^4 + 96096000*li5half*z3 + 
    4704000*li4half*ln2*z3 - 467600*ln2^5*z3 - 2576000*ln2^3*z2*z3 - 
    2776200*ln2*z2^2*z3 - 15907500*ln2^2*z3^2 - 10531500*z2*z3^2 - 
    123417000*ln2*z2*z5 - 122920875*z3*z5)/9408000, 
 H[0, 0, -1, -1, -1, 1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    109872000*ln2^2*s6 - 175362075*s8a - 1062432000*s8b - 219744000*s8c - 
    6048000*s8d - 28224000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 
    1136800*ln2^6*z2 + 107352000*s6*z2 - 73886400*li4half*z2^2 + 
    2801400*ln2^4*z2^2 - 14968800*ln2^2*z2^3 - 43172712*z2^4 - 
    199584000*li5half*z3 - 204624000*li4half*ln2*z3 - 6862800*ln2^5*z3 + 
    38640000*ln2^3*z2*z3 + 167416200*ln2*z2^2*z3 + 6205500*ln2^2*z3^2 + 
    180904500*z2*z3^2 + 659232000*ln2*z2*z5 + 241770375*z3*z5)/28224000, 
 H[0, 0, -1, -1, -1, 1, -1, -1, 1] -> 
  (-338688000*li4half^2 - 112896000*li8half - 112896000*li7half*ln2 + 
    56448000*li6half*ln2^2 - 32928000*li4half*ln2^4 - 686000*ln2^8 + 
    27216000*ln2^2*s6 - 72576000*ln2*s7a - 199584000*ln2*s7b + 
    258262200*s8a + 1103760000*s8b + 161280000*s8c + 120960000*s8d - 
    169344000*li6half*z2 + 239904000*li4half*ln2^2*z2 + 9368800*ln2^6*z2 - 
    375984000*s6*z2 + 293731200*li4half*z2^2 - 24922800*ln2^4*z2^2 - 
    24847200*ln2^2*z2^3 + 10004832*z2^4 - 651168000*li5half*z3 - 
    670320000*li4half*ln2*z3 - 23326800*ln2^5*z3 + 155652000*ln2^3*z2*z3 - 
    3729600*ln2*z2^2*z3 - 182196000*ln2^2*z3^2 - 127134000*z2*z3^2 + 
    123039000*ln2^3*z5 + 106407000*ln2*z2*z5 + 617116500*z3*z5 - 
    1525442625*ln2*z7)/56448000, H[0, 0, -1, -1, -1, 0, 1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 533925*s8a + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 705600*li4half*z2^2 - 
    222600*ln2^4*z2^2 - 176400*ln2^2*z2^3 - 796692*z2^4 + 
    7560000*li5half*z3 + 504000*li4half*ln2*z3 - 42000*ln2^5*z3 + 
    504000*ln2^3*z2*z3 + 617400*ln2*z2^2*z3 + 220500*ln2^2*z3^2 - 
    2189250*z2*z3^2 + 2874375*z3*z5)/2016000, 
 H[0, 0, -1, -1, -1, 0, 1, 0, 1] -> (230400*li4half^2 + 19200*li4half*ln2^4 + 
    400*ln2^8 + 23625*s8a - 115200*li4half*ln2^2*z2 - 4800*ln2^6*z2 - 
    17280*li4half*z2^2 + 13680*ln2^4*z2^2 + 4320*ln2^2*z2^3 - 2592*z2^4 - 
    230400*li5half*z3 + 172800*li4half*ln2*z3 + 9120*ln2^5*z3 - 
    62400*ln2^3*z2*z3 - 15120*ln2*z2^2*z3 + 75600*ln2^2*z3^2 - 
    11700*z2*z3^2 + 79875*z3*z5)/57600, H[0, 0, -1, -1, -1, 0, 1, -1, 1] -> 
  (98784000*li4half^2 + 8232000*li4half*ln2^4 + 171500*ln2^8 - 
    5040000*ln2*s7a - 5040000*ln2*s7b + 15165675*s8a + 24444000*s8b + 
    10080000*s8c - 10080000*s8d + 42336000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 646800*ln2^6*z2 + 2520000*s6*z2 - 
    66578400*li4half*z2^2 - 3656100*ln2^4*z2^2 + 15510600*ln2^2*z2^3 + 
    12790308*z2^4 - 8064000*li5half*z3 + 95256000*li4half*ln2*z3 + 
    4036200*ln2^5*z3 - 5964000*ln2^3*z2*z3 - 26768700*ln2*z2^2*z3 + 
    12348000*ln2^2*z3^2 - 10426500*z2*z3^2 + 1764000*ln2*z2*z5 + 
    19041750*z3*z5 - 152176500*ln2*z7)/14112000, 
 H[0, 0, -1, -1, -1, 0, 0, 1, 1] -> (288000*li4half^2 + 24000*li4half*ln2^4 + 
    500*ln2^8 - 139725*s8a - 144000*li4half*ln2^2*z2 - 6000*ln2^6*z2 - 
    100800*li4half*z2^2 + 13800*ln2^4*z2^2 + 25200*ln2^2*z2^3 + 100884*z2^4 - 
    216000*li5half*z3 + 288000*li4half*ln2*z3 + 13800*ln2^5*z3 - 
    90000*ln2^3*z2*z3 - 88200*ln2*z2^2*z3 + 126000*ln2^2*z3^2 + 
    189000*z2*z3^2 - 648000*z3*z5)/144000, H[0, 0, -1, -1, -1, 0, 0, 0, 1] -> 
  (326025*s8a - 235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 58800*ln2^2*z2^3 - 
    415896*z2^4 - 205800*ln2*z2^2*z3 + 294000*z2*z3^2 + 2134125*z3*z5)/
   336000, H[0, 0, -1, -1, -1, 0, 0, -1, 1] -> 
  (-672000*ln2^2*s6 + 1344000*ln2*s7a + 1344000*ln2*s7b - 1338225*s8a - 
    4368000*s8b - 1344000*s8c + 1344000*s8d - 2688000*s6*z2 + 
    100800*li4half*z2^2 + 4200*ln2^4*z2^2 + 243600*ln2^2*z2^3 - 
    1230896*z2^4 - 1680000*li5half*z3 + 1008000*li4half*ln2*z3 + 
    56000*ln2^5*z3 - 392000*ln2^3*z2*z3 - 810600*ln2*z2^2*z3 + 
    1281000*ln2^2*z3^2 + 1107750*z2*z3^2 + 84000*ln2*z2*z5 + 4108125*z3*z5 + 
    18044250*ln2*z7)/672000, H[0, 0, -1, -1, -1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    5040000*ln2^2*s6 + 34160175*s8a + 69048000*s8b - 10080000*s8c + 
    10080000*s8d - 84672000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 
    1646400*ln2^6*z2 - 90720000*s6*z2 + 76809600*li4half*z2^2 + 
    13784400*ln2^4*z2^2 - 18950400*ln2^2*z2^3 - 34012992*z2^4 - 
    126000000*li5half*z3 - 105840000*li4half*ln2*z3 - 3360000*ln2^5*z3 - 
    21084000*ln2^3*z2*z3 + 10974600*ln2*z2^2*z3 + 6048000*ln2^2*z3^2 + 
    17262000*z2*z3^2 + 200907000*ln2*z2*z5 + 105595875*z3*z5)/28224000, 
 H[0, 0, -1, -1, -1, 0, -1, 0, 1] -> 
  (230400*li4half^2 + 19200*li4half*ln2^4 + 400*ln2^8 - 84825*s8a - 
    115200*li4half*ln2^2*z2 - 4800*ln2^6*z2 - 158400*li4half*z2^2 + 
    7800*ln2^4*z2^2 + 39600*ln2^2*z2^3 + 35712*z2^4 - 172800*li5half*z3 + 
    230400*li4half*ln2*z3 + 11040*ln2^5*z3 - 72000*ln2^3*z2*z3 - 
    138600*ln2*z2^2*z3 + 100800*ln2^2*z3^2 + 14850*z2*z3^2 + 161775*z3*z5)/
   57600, H[0, 0, -1, -1, -1, 0, -1, -1, 1] -> 
  (1128960*li4half^2 + 94080*li4half*ln2^4 + 1960*ln2^8 - 255360*ln2^2*s6 + 
    510720*ln2*s7a + 510720*ln2*s7b - 554715*s8a - 1431360*s8b - 510720*s8c + 
    510720*s8d - 564480*li4half*ln2^2*z2 - 23520*ln2^6*z2 - 1021440*s6*z2 - 
    801024*li4half*z2^2 + 37184*ln2^4*z2^2 + 302400*ln2^2*z2^3 - 
    416336*z2^4 - 927360*li5half*z3 + 2069760*li4half*ln2*z3 + 
    93968*ln2^5*z3 - 594720*ln2^3*z2*z3 - 1042440*ln2*z2^2*z3 + 
    1224720*ln2^2*z3^2 - 49140*z2*z3^2 + 31920*ln2*z2*z5 + 3467415*z3*z5 + 
    6403425*ln2*z7)/376320, H[0, 0, -1, -1, -1, -1, 1, 1, 1] -> 
  (8064000*li8half + 134400*li5half*ln2^3 + 33600*li4half*ln2^4 + 480*ln2^8 + 
    1477350*s8a + 14515200*s8b + 2822400*s8d - 403200*li5half*ln2*z2 + 
    560*ln2^6*z2 - 6652800*s6*z2 + 604800*li4half*z2^2 - 57960*ln2^4*z2^2 - 
    230400*ln2^2*z2^3 - 1270008*z2^4 - 4435200*li5half*z3 - 
    100800*li4half*ln2*z3 + 38640*ln2^5*z3 - 142800*ln2^3*z2*z3 - 
    1068480*ln2*z2^2*z3 + 308700*ln2^2*z3^2 - 1134000*z2*z3^2 + 
    65100*ln2^3*z5 - 195300*ln2*z2*z5 + 4065075*z3*z5)/403200, 
 H[0, 0, -1, -1, -1, -1, 1, 0, 1] -> 
  (35280000*li4half^2 + 2940000*li4half*ln2^4 + 61250*ln2^8 - 
    19152000*ln2^2*s6 + 27359325*s8a + 43848000*s8b + 38304000*s8c - 
    27720000*s8d + 7056000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    646800*ln2^6*z2 + 50148000*s6*z2 - 26359200*li4half*z2^2 + 
    151200*ln2^4*z2^2 + 7509600*ln2^2*z2^3 + 16537842*z2^4 + 
    43092000*li5half*z3 + 59976000*li4half*ln2*z3 + 2139900*ln2^5*z3 - 
    10374000*ln2^3*z2*z3 - 36023400*ln2*z2^2*z3 + 4646250*ln2^2*z3^2 - 
    27515250*z2*z3^2 - 111494250*ln2*z2*z5 - 26822250*z3*z5)/7056000, 
 H[0, 0, -1, -1, -1, -1, 1, -1, 1] -> 
  (169344000*li4half^2 - 338688000*li8half + 56448000*li7half*ln2 - 
    9408000*li5half*ln2^3 + 11760000*li4half*ln2^4 + 254800*ln2^8 - 
    58464000*ln2^2*s6 + 55440000*ln2*s7a + 20160000*ln2*s7b - 38883600*s8a - 
    501480000*s8b + 6048000*s8c - 97776000*s8d + 42336000*li6half*z2 + 
    70560000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 3782800*ln2^6*z2 + 
    248472000*s6*z2 - 150796800*li4half*z2^2 + 12327000*ln2^4*z2^2 + 
    60480000*ln2^2*z2^3 + 56282364*z2^4 + 259056000*li5half*z3 + 
    303408000*li4half*ln2*z3 + 10071600*ln2^5*z3 - 75432000*ln2^3*z2*z3 - 
    42827400*ln2*z2^2*z3 + 111667500*ln2^2*z3^2 - 14458500*z2*z3^2 + 
    29620500*ln2^3*z5 - 104926500*ln2*z2*z5 - 79443000*z3*z5 + 
    42186375*ln2*z7)/28224000, H[0, 0, -1, -1, -1, -1, 0, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 688275*s8a + 
    4032000*li6half*z2 + 4032000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 
    140000*ln2^6*z2 - 1008000*s6*z2 + 2217600*li4half*z2^2 - 
    411600*ln2^4*z2^2 - 554400*ln2^2*z2^3 - 775044*z2^4 + 
    1008000*li5half*z3 - 6048000*li4half*ln2*z3 - 260400*ln2^5*z3 + 
    2184000*ln2^3*z2*z3 + 1940400*ln2*z2^2*z3 - 2646000*ln2^2*z3^2 + 
    2441250*z2*z3^2 + 1953000*ln2*z2*z5 - 7953750*z3*z5)/2016000, 
 H[0, 0, -1, -1, -1, -1, 0, 0, 1] -> 
  (-11520*li4half^2 - 960*li4half*ln2^4 - 20*ln2^8 + 5760*li4half*ln2^2*z2 + 
    240*ln2^6*z2 + 8640*li4half*z2^2 - 360*ln2^4*z2^2 - 2160*ln2^2*z2^3 - 
    1620*z2^4 + 8640*li5half*z3 - 11520*li4half*ln2*z3 - 552*ln2^5*z3 + 
    3600*ln2^3*z2*z3 + 7560*ln2*z2^2*z3 - 5040*ln2^2*z3^2 - 2160*z2*z3^2 - 
    4455*z3*z5)/5760, H[0, 0, -1, -1, -1, -1, 0, -1, 1] -> 
  (-6048000*li4half^2 - 504000*li4half*ln2^4 - 10500*ln2^8 + 
    1008000*ln2^2*s6 - 2016000*ln2*s7a - 2016000*ln2*s7b + 688275*s8a - 
    5040000*s8b + 2016000*s8c - 2016000*s8d + 2016000*li6half*z2 + 
    2016000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 154000*ln2^6*z2 + 
    3528000*s6*z2 + 4435200*li4half*z2^2 - 319200*ln2^4*z2^2 - 
    1512000*ln2^2*z2^3 - 570096*z2^4 + 3024000*li5half*z3 - 
    11592000*li4half*ln2*z3 - 508200*ln2^5*z3 + 3444000*ln2^3*z2*z3 + 
    5229000*ln2*z2^2*z3 - 6331500*ln2^2*z3^2 + 1354500*z2*z3^2 + 
    850500*ln2*z2*z5 - 8827875*z3*z5 - 4063500*ln2*z7)/2016000, 
 H[0, 0, -1, -1, -1, -1, -1, 1, 1] -> 
  (-806400*li4half^2 + 4032000*li8half - 403200*li6half*ln2^2 - 
    134400*li5half*ln2^3 - 100800*li4half*ln2^4 - 2140*ln2^8 + 
    100800*ln2^2*s6 + 422100*s8a + 5443200*s8b + 806400*s8d + 
    806400*li6half*z2 + 403200*li4half*ln2^2*z2 + 20720*ln2^6*z2 - 
    2116800*s6*z2 + 786240*li4half*z2^2 - 50400*ln2^4*z2^2 - 
    374400*ln2^2*z2^3 - 609264*z2^4 - 1814400*li5half*z3 - 
    1411200*li4half*ln2*z3 - 49560*ln2^5*z3 + 302400*ln2^3*z2*z3 - 
    20160*ln2*z2^2*z3 - 434700*ln2^2*z3^2 + 100800*z2*z3^2 - 65100*ln2^3*z5 + 
    604800*ln2*z2*z5 - 524475*z3*z5)/403200, 
 H[0, 0, -1, -1, -1, -1, -1, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 + 77175*s8a - 
    2016000*li6half*z2 - 2016000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 
    70000*ln2^6*z2 + 504000*s6*z2 - 1612800*li4half*z2^2 + 
    184800*ln2^4*z2^2 + 403200*ln2^2*z2^3 + 384588*z2^4 + 504000*li5half*z3 + 
    4032000*li4half*ln2*z3 + 163800*ln2^5*z3 - 1260000*ln2^3*z2*z3 - 
    1411200*ln2*z2^2*z3 + 1764000*ln2^2*z3^2 - 1638000*z2*z3^2 - 
    976500*ln2*z2*z5 + 5166000*z3*z5)/2016000, 
 H[0, 0, -1, -1, -1, -1, -1, -1, 1] -> 
  (806400*li8half + 806400*li7half*ln2 + 403200*li6half*ln2^2 + 
    134400*li5half*ln2^3 + 33600*li4half*ln2^4 + 700*ln2^8 + 
    100800*ln2^2*s6 - 201600*ln2*s7a - 105525*s8a - 1209600*s8b - 
    201600*s8d - 2800*ln2^6*z2 + 504000*s6*z2 - 40320*li4half*z2^2 - 
    1680*ln2^4*z2^2 - 30240*ln2^2*z2^3 - 124452*z2^4 + 403200*li5half*z3 + 
    2520*ln2^5*z3 + 33600*ln2^3*z2*z3 + 151200*ln2*z2^2*z3 - 
    126000*ln2^2*z3^2 + 50400*z2*z3^2 - 130200*ln2^3*z5 - 6300*ln2*z2*z5 - 
    212625*z3*z5 + 596925*ln2*z7)/403200, H[0, -1, 1, 1, 1, 1, 1, 1, 1] -> 
  (1209600*li8half + 30*ln2^8 - 105525*s8a - 1209600*s8b - 201600*s8d - 
    403200*li6half*z2 - 560*ln2^6*z2 + 504000*s6*z2 - 201600*li4half*z2^2 - 
    2520*ln2^4*z2^2 + 56160*ln2^2*z2^3 + 92124*z2^4 + 50400*z2*z3^2 - 
    162225*z3*z5)/403200, H[0, -1, 1, 1, 1, 1, 1, 0, 1] -> 
  (-112896000*li8half - 2800*ln2^8 - 10080000*ln2^2*s6 + 33517575*s8a + 
    144144000*s8b + 20160000*s8c + 1008000*s8d - 14112000*li6half*z2 + 
    58800*ln2^6*z2 - 12600000*s6*z2 + 14313600*li4half*z2^2 + 
    684600*ln2^4*z2^2 - 453600*ln2^2*z2^3 + 3038292*z2^4 + 
    54432000*li5half*z3 - 453600*ln2^5*z3 - 2520000*ln2^3*z2*z3 - 
    18068400*ln2*z2^2*z3 - 2835000*ln2^2*z3^2 - 42903000*z2*z3^2 - 
    102816000*ln2*z2*z5 + 69559875*z3*z5)/28224000, 
 H[0, -1, 1, 1, 1, 1, 1, -1, 1] -> (-8064000*li4half^2 - 32256000*li8half - 
    4032000*li7half*ln2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    1008000*ln2^2*s6 - 2016000*ln2*s7a - 2016000*ln2*s7b + 1901025*s8a - 
    12600000*s8b + 2016000*s8c - 2016000*s8d - 4032000*li6half*z2 - 
    12096000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 + 4032000*s6*z2 + 
    3628800*li4half*z2^2 + 268800*ln2^4*z2^2 - 1425600*ln2^2*z2^3 + 
    1434024*z2^4 + 14616000*li5half*z3 - 3528000*li4half*ln2*z3 - 
    268800*ln2^5*z3 + 336000*ln2^3*z2*z3 + 1701000*ln2*z2^2*z3 - 
    2803500*ln2^2*z3^2 - 4378500*z2*z3^2 - 126000*ln2*z2*z5 + 
    12371625*z3*z5 + 10938375*ln2*z7)/4032000, 
 H[0, -1, 1, 1, 1, 1, 0, 1, 1] -> (39312000*ln2^2*s6 - 70690725*s8a - 
    226296000*s8b - 78624000*s8c + 64512000*s8d + 479808000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 39200*ln2^6*z2 - 121968000*s6*z2 - 
    4032000*li4half*z2^2 - 2226000*ln2^4*z2^2 - 22024800*ln2^2*z2^3 - 
    97660656*z2^4 - 220752000*li5half*z3 + 1839600*ln2^5*z3 + 
    9828000*ln2^3*z2*z3 + 70043400*ln2*z2^2*z3 + 11056500*ln2^2*z3^2 + 
    152680500*z2*z3^2 + 574560000*ln2*z2*z5 - 213121125*z3*z5)/56448000, 
 H[0, -1, 1, 1, 1, 1, 0, 0, 1] -> (7560000*ln2^2*s6 - 19865475*s8a - 
    86940000*s8b - 15120000*s8c - 2520000*s8d - 7056000*li6half*z2 - 
    9800*ln2^6*z2 + 15624000*s6*z2 - 8971200*li4half*z2^2 + 
    434700*ln2^4*z2^2 + 1701000*ln2^2*z2^3 + 2399094*z2^4 + 
    15624000*li5half*z3 - 130200*ln2^5*z3 - 462000*ln2^3*z2*z3 + 
    19019700*ln2*z2^2*z3 + 2126250*ln2^2*z3^2 + 7481250*z2*z3^2 + 
    24192000*ln2*z2*z5 - 5630625*z3*z5)/7056000, 
 H[0, -1, 1, 1, 1, 1, 0, -1, 1] -> (39513600*li4half^2 - 451584000*li8half - 
    90316800*li7half*ln2 + 3292800*li4half*ln2^4 + 75320*ln2^8 + 
    1814400*ln2^2*s6 + 22982400*ln2*s7a + 8870400*ln2*s7b - 68967675*s8a - 
    434750400*s8b - 49593600*s8c - 12499200*s8d + 5644800*li6half*z2 - 
    16934400*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1089760*ln2^6*z2 + 
    56044800*s6*z2 - 32699520*li4half*z2^2 + 3294480*ln2^4*z2^2 + 
    19101600*ln2^2*z2^3 + 32767848*z2^4 + 43344000*li5half*z3 + 
    69148800*li4half*ln2*z3 + 2520000*ln2^5*z3 - 11911200*ln2^3*z2*z3 + 
    28040040*ln2*z2^2*z3 + 35702100*ln2^2*z3^2 + 51307200*z2*z3^2 + 
    13671000*ln2^3*z5 + 137453400*ln2*z2*z5 + 30603825*z3*z5 + 
    65305800*ln2*z7)/11289600, H[0, -1, 1, 1, 1, 1, -1, 1, 1] -> 
  (338688000*li4half^2 + 564480000*li8half - 28224000*li6half*ln2^2 + 
    28224000*li4half*ln2^4 + 562800*ln2^8 - 15120000*ln2^2*s6 + 
    40976775*s8a + 343224000*s8b + 30240000*s8c + 40320000*s8d + 
    169344000*li6half*z2 + 423360000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 - 744800*ln2^6*z2 - 115920000*s6*z2 - 
    134467200*li4half*z2^2 - 8719200*ln2^4*z2^2 + 14716800*ln2^2*z2^3 - 
    49011336*z2^4 - 539280000*li5half*z3 + 4494000*ln2^5*z3 + 
    16800000*ln2^3*z2*z3 - 113715000*ln2*z2^2*z3 + 6552000*ln2^2*z3^2 + 
    60228000*z2*z3^2 - 90720000*ln2*z2*z5 + 17931375*z3*z5)/56448000, 
 H[0, -1, 1, 1, 1, 1, -1, 0, 1] -> (-86400*li4half^2 - 7200*li4half*ln2^4 - 
    150*ln2^8 - 28800*li6half*z2 - 86400*li5half*ln2*z2 + 680*ln2^6*z2 + 
    4800*s6*z2 + 41280*li4half*z2^2 + 1720*ln2^4*z2^2 - 6000*ln2^2*z2^3 - 
    2904*z2^4 + 93600*li5half*z3 - 780*ln2^5*z3 + 29880*ln2*z2^2*z3 - 
    24900*z2*z3^2 + 900*ln2*z2*z5 - 975*z3*z5)/19200, 
 H[0, -1, 1, 1, 1, 1, -1, -1, 1] -> (3763200*li4half^2 + 26342400*li8half + 
    11289600*li7half*ln2 + 1881600*li6half*ln2^2 + 313600*li4half*ln2^4 + 
    7560*ln2^8 + 67200*ln2^2*s6 + 3763200*ln2*s7a + 5644800*ln2*s7b - 
    5270475*s8a + 13339200*s8b - 7660800*s8c + 4838400*s8d - 
    3763200*li6half*z2 - 5644800*li5half*ln2*z2 - 4704000*li4half*ln2^2*z2 - 
    196000*ln2^6*z2 - 9206400*s6*z2 - 2325120*li4half*z2^2 + 
    385280*ln2^4*z2^2 + 1317120*ln2^2*z2^3 - 722376*z2^4 - 
    4032000*li5half*z3 + 9878400*li4half*ln2*z3 + 445200*ln2^5*z3 - 
    4569600*ln2^3*z2*z3 - 850920*ln2*z2^2*z3 + 5061000*ln2^2*z3^2 + 
    5451600*z2*z3^2 - 1822800*ln2^3*z5 + 6165600*ln2*z2*z5 - 14961975*z3*z5 + 
    2947350*ln2*z7)/3763200, H[0, -1, 1, 1, 1, 0, 1, 1, 1] -> 
  (-10584000*li4half^2 - 882000*li4half*ln2^4 - 18375*ln2^8 + 
    1512000*ln2^2*s6 - 5948775*s8a + 157248000*s8b - 3024000*s8c + 
    27720000*s8d - 77616000*li6half*z2 - 42336000*li5half*ln2*z2 + 
    245000*ln2^6*z2 - 83664000*s6*z2 + 9424800*li4half*z2^2 - 
    856800*ln2^4*z2^2 + 1663200*ln2^2*z2^3 + 13660326*z2^4 + 
    25704000*li5half*z3 - 214200*ln2^5*z3 + 378000*ln2^3*z2*z3 + 
    4403700*ln2*z2^2*z3 + 425250*ln2^2*z3^2 - 10631250*z2*z3^2 - 
    54432000*ln2*z2*z5 - 795375*z3*z5)/7056000, 
 H[0, -1, 1, 1, 1, 0, 1, 0, 1] -> (2822400*li4half^2 + 235200*li4half*ln2^4 + 
    4900*ln2^8 - 3628800*ln2^2*s6 + 8021475*s8a - 75600*s8b + 7257600*s8c - 
    7257600*s8d + 2822400*li6half*z2 - 1411200*li4half*ln2^2*z2 - 
    54880*ln2^6*z2 + 12927600*s6*z2 - 1910160*li4half*z2^2 + 
    38010*ln2^4*z2^2 - 110880*ln2^2*z2^3 + 1339428*z2^4 - 
    8064000*li5half*z3 + 67200*ln2^5*z3 + 33600*ln2^3*z2*z3 - 
    8946000*ln2*z2^2*z3 - 1020600*ln2^2*z3^2 - 1672650*z2*z3^2 - 
    10130400*ln2*z2*z5 + 3827250*z3*z5)/1411200, 
 H[0, -1, 1, 1, 1, 0, 1, -1, 1] -> (2822400*li4half^2 + 301056000*li8half + 
    60211200*li7half*ln2 + 235200*li4half*ln2^4 + 420*ln2^8 - 
    27888000*ln2^2*s6 + 403200*ln2*s7a - 7123200*ln2*s7b + 80428950*s8a + 
    514113600*s8b + 54969600*s8c + 38169600*s8d + 3763200*li6half*z2 + 
    25401600*li5half*ln2*z2 + 11289600*li4half*ln2^2*z2 + 305760*ln2^6*z2 - 
    127377600*s6*z2 + 9233280*li4half*z2^2 - 1759520*ln2^4*z2^2 + 
    1938720*ln2^2*z2^3 - 18517284*z2^4 - 97977600*li5half*z3 - 
    19756800*li4half*ln2*z3 - 6720*ln2^5*z3 - 2755200*ln2^3*z2*z3 - 
    58427040*ln2*z2^2*z3 - 7226100*ln2^2*z3^2 - 55280400*z2*z3^2 + 
    7291200*ln2^3*z5 - 147321300*ln2*z2*z5 + 35198625*z3*z5 - 
    103317900*ln2*z7)/1881600, H[0, -1, 1, 1, 1, 0, 0, 1, 1] -> 
  (27216000*ln2^2*s6 - 114916725*s8a - 711648000*s8b - 54432000*s8c - 
    86688000*s8d + 56448000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    627200*ln2^6*z2 + 318024000*s6*z2 - 19454400*li4half*z2^2 + 
    5069400*ln2^4*z2^2 - 16279200*ln2^2*z2^3 + 3990144*z2^4 + 
    166320000*li5half*z3 - 1386000*ln2^5*z3 + 6804000*ln2^3*z2*z3 + 
    53865000*ln2*z2^2*z3 + 7654500*ln2^2*z3^2 + 89995500*z2*z3^2 + 
    225477000*ln2*z2*z5 - 272136375*z3*z5)/28224000, 
 H[0, -1, 1, 1, 1, 0, 0, 0, 1] -> (-67200*ln2^2*s6 + 1220625*s8a + 
    9122400*s8b + 134400*s8c + 1747200*s8d - 4082400*s6*z2 - 
    144480*li4half*z2^2 - 6020*ln2^4*z2^2 + 231840*ln2^2*z2^3 - 568452*z2^4 - 
    2083200*li5half*z3 + 17360*ln2^5*z3 - 173600*ln2^3*z2*z3 - 
    1124760*ln2*z2^2*z3 - 18900*ln2^2*z3^2 - 762300*z2*z3^2 - 
    1814400*ln2*z2*z5 + 4929225*z3*z5)/470400, 
 H[0, -1, 1, 1, 1, 0, 0, -1, 1] -> 
  (70560000*li4half^2 + 5880000*li4half*ln2^4 + 122500*ln2^8 + 
    58464000*ln2^2*s6 + 36288000*ln2*s7a + 92736000*ln2*s7b - 191505825*s8a - 
    798588000*s8b - 189504000*s8c + 6048000*s8d - 28224000*li6half*z2 - 
    42336000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 2038400*ln2^6*z2 + 
    95508000*s6*z2 - 47124000*li4half*z2^2 + 4798500*ln2^4*z2^2 - 
    14943600*ln2^2*z2^3 - 37007052*z2^4 + 65520000*li5half*z3 + 
    123480000*li4half*ln2*z3 + 4599000*ln2^5*z3 - 28056000*ln2^3*z2*z3 + 
    54734400*ln2*z2^2*z3 + 72009000*ln2^2*z3^2 + 153704250*z2*z3^2 - 
    54684000*ln2^3*z5 + 304258500*ln2*z2*z5 - 78435000*z3*z5 + 
    731107125*ln2*z7)/14112000, H[0, -1, 1, 1, 1, 0, -1, 1, 1] -> 
  (-254016000*li4half^2 - 4515840000*li8half + 225792000*li6half*ln2^2 - 
    21168000*li4half*ln2^4 - 239400*ln2^8 + 431424000*ln2^2*s6 - 
    1419520725*s8a - 9135000000*s8b - 933408000*s8c - 816480000*s8d + 
    592704000*li6half*z2 - 84672000*li5half*ln2*z2 - 39200*ln2^6*z2 + 
    2860704000*s6*z2 - 70156800*li4half*z2^2 + 29064000*ln2^4*z2^2 - 
    35280000*ln2^2*z2^3 + 217068624*z2^4 + 1724688000*li5half*z3 - 
    14372400*ln2^5*z3 + 170184000*ln2^3*z2*z3 + 1122899400*ln2*z2^2*z3 + 
    68859000*ln2^2*z3^2 + 892332000*z2*z3^2 + 2693061000*ln2*z2*z5 - 
    946897875*z3*z5)/56448000, H[0, -1, 1, 1, 1, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    58464000*ln2^2*s6 + 147431025*s8a + 562968000*s8b + 116928000*s8c - 
    4032000*s8d + 169344000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 
    1411200*ln2^6*z2 - 51912000*s6*z2 + 8366400*li4half*z2^2 - 
    6707400*ln2^4*z2^2 - 5922000*ln2^2*z2^3 - 11117616*z2^4 - 
    34272000*li5half*z3 + 285600*ln2^5*z3 + 7728000*ln2^3*z2*z3 - 
    110388600*ln2*z2^2*z3 - 16443000*ln2^2*z3^2 - 109305000*z2*z3^2 - 
    296541000*ln2*z2*z5 + 97878375*z3*z5)/28224000, 
 H[0, -1, 1, 1, 1, 0, -1, -1, 1] -> 
  (-215040000*li8half - 86016000*li7half*ln2 - 10752000*li6half*ln2^2 - 
    3200*ln2^8 + 40416000*ln2^2*s6 - 10176000*ln2*s7a + 16704000*ln2*s7b - 
    77800275*s8a - 490728000*s8b - 57120000*s8c - 39648000*s8d + 
    5376000*li6half*z2 - 4032000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 
    112000*ln2^6*z2 + 129024000*s6*z2 - 8870400*li4half*z2^2 + 
    190400*ln2^4*z2^2 - 10742400*ln2^2*z2^3 + 8722776*z2^4 + 
    84336000*li5half*z3 + 7056000*li4half*ln2*z3 - 408800*ln2^5*z3 + 
    3416000*ln2^3*z2*z3 + 53791800*ln2*z2^2*z3 - 1716000*ln2^2*z3^2 + 
    58075500*z2*z3^2 - 26040000*ln2^3*z5 + 124602000*ln2*z2*z5 - 
    48139875*z3*z5 + 195364500*ln2*z7)/2688000, 
 H[0, -1, 1, 1, 1, -1, 1, 1, 1] -> (-4838400*li4half^2 - 22579200*li8half - 
    134400*li5half*ln2^3 - 403200*li4half*ln2^4 - 7840*ln2^8 + 
    806400*ln2^2*s6 - 3816225*s8a - 8971200*s8b - 1612800*s8c + 
    806400*li6half*z2 - 6854400*li5half*ln2*z2 + 35840*ln2^6*z2 + 
    2822400*s6*z2 + 1774080*li4half*z2^2 - 20160*ln2^4*z2^2 - 
    141120*ln2^2*z2^3 + 2294172*z2^4 + 8769600*li5half*z3 - 73080*ln2^5*z3 + 
    25200*ln2^3*z2*z3 + 2895480*ln2*z2^2*z3 + 226800*ln2^2*z3^2 - 
    554400*z2*z3^2 + 651000*ln2^3*z5 - 1953000*ln2*z2*z5 - 1683675*z3*z5)/
   806400, H[0, -1, 1, 1, 1, -1, 1, 0, 1] -> 
  (14112000*li4half^2 + 677376000*li8half + 1176000*li4half*ln2^4 + 
    41300*ln2^8 - 23184000*ln2^2*s6 + 117696600*s8a + 231336000*s8b + 
    46368000*s8c - 18144000*s8d + 141120000*li6half*z2 + 
    239904000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 78400*ln2^6*z2 + 
    60984000*s6*z2 - 31852800*li4half*z2^2 - 5090400*ln2^4*z2^2 + 
    4536000*ln2^2*z2^3 - 83800044*z2^4 - 154224000*li5half*z3 + 
    1285200*ln2^5*z3 - 5796000*ln2^3*z2*z3 - 92572200*ln2*z2^2*z3 - 
    6520500*ln2^2*z3^2 - 28161000*z2*z3^2 - 89932500*ln2*z2*z5 + 
    35807625*z3*z5)/28224000, H[0, -1, 1, 1, 1, -1, 1, -1, 1] -> 
  (733824000*li8half - 169344000*li7half*ln2 + 9408000*li5half*ln2^3 - 
    26600*ln2^8 - 194544000*ln2^2*s6 + 2016000*ln2*s7a - 124992000*ln2*s7b + 
    479680425*s8a + 1960056000*s8b + 385056000*s8c + 66528000*s8d + 
    366912000*li6half*z2 + 395136000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2312800*ln2^6*z2 - 224784000*s6*z2 + 
    33062400*li4half*z2^2 - 5796000*ln2^4*z2^2 + 7509600*ln2^2*z2^3 - 
    80846352*z2^4 - 507024000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    1948800*ln2^5*z3 + 47712000*ln2^3*z2*z3 - 337995000*ln2*z2^2*z3 - 
    51628500*ln2^2*z3^2 - 394411500*z2*z3^2 + 77469000*ln2^3*z5 - 
    749196000*ln2*z2*z5 + 586065375*z3*z5 - 700008750*ln2*z7)/56448000, 
 H[0, -1, 1, 1, 1, -1, 0, 1, 1] -> 
  (127008000*li4half^2 + 10584000*li4half*ln2^4 + 220500*ln2^8 + 
    37296000*ln2^2*s6 - 92780100*s8a - 781704000*s8b - 74592000*s8c - 
    66528000*s8d - 366912000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    980000*ln2^6*z2 - 4536000*s6*z2 - 64108800*li4half*z2^2 + 
    856800*ln2^4*z2^2 + 14918400*ln2^2*z2^3 + 24774084*z2^4 + 
    58968000*li5half*z3 - 491400*ln2^5*z3 + 9324000*ln2^3*z2*z3 + 
    61349400*ln2*z2^2*z3 + 10489500*ln2^2*z3^2 + 239841000*z2*z3^2 + 
    580765500*ln2*z2*z5 - 262150875*z3*z5)/28224000, 
 H[0, -1, 1, 1, 1, -1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    6216000*ln2^2*s6 + 15463350*s8a + 130284000*s8b + 12432000*s8c + 
    11088000*s8d - 14112000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    470400*ln2^6*z2 - 30408000*s6*z2 - 7072800*li4half*z2^2 + 
    293300*ln2^4*z2^2 + 1835400*ln2^2*z2^3 + 4148346*z2^4 - 
    38640000*li5half*z3 + 322000*ln2^5*z3 - 4102000*ln2^3*z2*z3 - 
    30408000*ln2*z2^2*z3 - 1748250*ln2^2*z3^2 - 18787125*z2*z3^2 - 
    50526000*ln2*z2*z5 + 55497750*z3*z5)/4704000, 
 H[0, -1, 1, 1, 1, -1, 0, -1, 1] -> 
  (564480000*li4half^2 + 4515840000*li8half + 903168000*li7half*ln2 + 
    47040000*li4half*ln2^4 + 912800*ln2^8 - 170352000*ln2^2*s6 + 
    193536000*ln2*s7a + 334656000*ln2*s7b + 292951575*s8a + 4284504000*s8b - 
    46368000*s8c + 582624000*s8d - 56448000*li6half*z2 + 
    479808000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 4625600*ln2^6*z2 - 
    1475712000*s6*z2 - 171360000*li4half*z2^2 - 10197600*ln2^4*z2^2 + 
    45511200*ln2^2*z2^3 - 379401408*z2^4 - 1701504000*li5half*z3 + 
    246960000*li4half*ln2*z3 + 24469200*ln2^5*z3 - 200004000*ln2^3*z2*z3 - 
    731115000*ln2*z2^2*z3 + 248440500*ln2^2*z3^2 - 83853000*z2*z3^2 - 
    136710000*ln2^3*z5 - 1357272000*ln2*z2*z5 + 329340375*z3*z5 + 
    1726467750*ln2*z7)/56448000, H[0, -1, 1, 1, 1, -1, -1, 1, 1] -> 
  (-1881600*li4half^2 - 28224000*li8half + 2822400*li6half*ln2^2 + 
    313600*li5half*ln2^3 - 156800*li4half*ln2^4 - 2660*ln2^8 + 
    3360000*ln2^2*s6 - 9577575*s8a - 66864000*s8b - 7660800*s8c - 
    3628800*s8d - 7526400*li6half*z2 - 5644800*li5half*ln2*z2 - 
    470400*li4half*ln2^2*z2 + 43120*ln2^6*z2 + 7492800*s6*z2 + 
    120960*li4half*z2^2 + 106960*ln2^4*z2^2 - 208320*ln2^2*z2^3 + 
    714528*z2^4 + 13137600*li5half*z3 - 109480*ln2^5*z3 + 
    2917600*ln2^3*z2*z3 + 9703680*ln2*z2^2*z3 - 1061550*ln2^2*z3^2 + 
    12323850*z2*z3^2 - 1519000*ln2^3*z5 + 40754700*ln2*z2*z5 - 
    12363750*z3*z5)/1881600, H[0, -1, 1, 1, 1, -1, -1, 0, 1] -> 
  (-169344000*li4half^2 - 1128960000*li8half - 14112000*li4half*ln2^4 - 
    322000*ln2^8 - 79632000*ln2^2*s6 + 109416825*s8a - 1512000*s8b + 
    159264000*s8c - 102816000*s8d - 169344000*li6half*z2 - 
    395136000*li5half*ln2*z2 + 3841600*ln2^6*z2 + 36288000*s6*z2 + 
    48585600*li4half*z2^2 - 5619600*ln2^4*z2^2 + 9576000*ln2^2*z2^3 + 
    138573072*z2^4 + 403200000*li5half*z3 - 3360000*ln2^5*z3 + 
    31836000*ln2^3*z2*z3 - 62055000*ln2*z2^2*z3 - 22396500*ln2^2*z3^2 - 
    152743500*z2*z3^2 - 289044000*ln2*z2*z5 + 230729625*z3*z5)/56448000, 
 H[0, -1, 1, 1, 1, -1, -1, -1, 1] -> 
  (16128000*li4half^2 + 145152000*li8half + 8064000*li7half*ln2 - 
    12096000*li6half*ln2^2 - 1344000*li5half*ln2^3 + 1344000*li4half*ln2^4 + 
    24400*ln2^8 - 6768000*ln2^2*s6 + 7776000*ln2*s7a + 9792000*ln2*s7b + 
    23894325*s8a + 203112000*s8b + 2016000*s8c + 34272000*s8d - 
    12096000*li6half*z2 + 12096000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 - 313600*ln2^6*z2 - 98784000*s6*z2 - 
    806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 2772000*ln2^2*z2^3 - 
    20798568*z2^4 - 79632000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    957600*ln2^5*z3 - 16212000*ln2^3*z2*z3 - 36066600*ln2*z2^2*z3 + 
    18603000*ln2^2*z3^2 - 12663000*z2*z3^2 + 4557000*ln2^3*z5 - 
    58689000*ln2*z2*z5 + 80380125*z3*z5 + 136005750*ln2*z7)/8064000, 
 H[0, -1, 1, 1, 0, 1, 1, 1, 1] -> 
  (16934400*li4half^2 + 1411200*li4half*ln2^4 + 29400*ln2^8 - 
    4905600*ln2^2*s6 + 15627675*s8a - 15086400*s8b + 9811200*s8c - 
    9811200*s8d + 56448000*li6half*z2 + 33868800*li5half*ln2*z2 - 
    203840*ln2^6*z2 + 33734400*s6*z2 - 2150400*li4half*z2^2 + 
    498400*ln2^4*z2^2 - 1139040*ln2^2*z2^3 - 10509144*z2^4 - 
    24595200*li5half*z3 + 204960*ln2^5*z3 - 1226400*ln2^3*z2*z3 - 
    11347560*ln2*z2^2*z3 - 1379700*ln2^2*z3^2 - 10136700*z2*z3^2 - 
    6854400*ln2*z2*z5 + 25636275*z3*z5)/3763200, 
 H[0, -1, 1, 1, 0, 1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 39129825*s8a - 34608000*s8b - 36288000*s8c + 
    36288000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    54936000*s6*z2 - 2385600*li4half*z2^2 - 3627400*ln2^4*z2^2 + 
    6669600*ln2^2*z2^3 - 5384892*z2^4 + 49728000*li5half*z3 - 
    414400*ln2^5*z3 + 4144000*ln2^3*z2*z3 + 40349400*ln2*z2^2*z3 + 
    5103000*ln2^2*z3^2 + 16668750*z2*z3^2 + 45360000*ln2*z2*z5 - 
    24814125*z3*z5)/9408000, H[0, -1, 1, 1, 0, 1, 1, -1, 1] -> 
  (14112000*li4half^2 - 967680000*li8half - 193536000*li7half*ln2 + 
    1176000*li4half*ln2^4 + 38900*ln2^8 + 124272000*ln2^2*s6 - 
    288000*ln2*s7a + 52128000*ln2*s7b - 349640550*s8a - 2140992000*s8b - 
    247968000*s8c - 175392000*s8d - 24192000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1108800*ln2^6*z2 + 577584000*s6*z2 - 
    53020800*li4half*z2^2 + 5754000*ln2^4*z2^2 - 17100000*ln2^2*z2^3 + 
    59656572*z2^4 + 371952000*li5half*z3 + 77616000*li4half*ln2*z3 + 
    134400*ln2^5*z3 + 11592000*ln2^3*z2*z3 + 230221800*ln2*z2^2*z3 + 
    34510500*ln2^2*z3^2 + 259024500*z2*z3^2 - 50778000*ln2^3*z5 + 
    593487000*ln2*z2*z5 - 258528375*z3*z5 + 483584625*ln2*z7)/4032000, 
 H[0, -1, 1, 1, 0, 1, 0, 1, 1] -> (8736000*ln2^2*s6 - 15841350*s8a + 
    65352000*s8b - 17472000*s8c + 17472000*s8d - 169344000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 235200*ln2^6*z2 - 80808000*s6*z2 + 
    16900800*li4half*z2^2 - 471800*ln2^4*z2^2 + 3141600*ln2^2*z2^3 + 
    20487024*z2^4 + 26208000*li5half*z3 - 218400*ln2^5*z3 + 
    2184000*ln2^3*z2*z3 + 29471400*ln2*z2^2*z3 + 2457000*ln2^2*z3^2 - 
    5418000*z2*z3^2 - 37327500*ln2*z2*z5 + 34279875*z3*z5)/9408000, 
 H[0, -1, 1, 1, 0, 1, 0, 0, 1] -> (-1344000*ln2^2*s6 + 1592325*s8a - 
    1680000*s8b + 2688000*s8c - 2688000*s8d + 4200000*s6*z2 + 
    4804800*li4half*z2^2 + 200200*ln2^4*z2^2 - 1041600*ln2^2*z2^3 + 
    62012*z2^4 + 1344000*li5half*z3 - 11200*ln2^5*z3 + 112000*ln2^3*z2*z3 + 
    1138200*ln2*z2^2*z3 - 378000*ln2^2*z3^2 - 960750*z2*z3^2 - 
    2520000*ln2*z2*z5 - 7247625*z3*z5)/672000, 
 H[0, -1, 1, 1, 0, 1, 0, -1, 1] -> 
  (-564480000*li4half^2 - 47040000*li4half*ln2^4 - 980000*ln2^8 + 
    358848000*ln2^2*s6 - 487872000*ln2*s7a - 374976000*ln2*s7b - 
    23059575*s8a - 1172808000*s8b + 258048000*s8c - 596736000*s8d + 
    169344000*li5half*ln2*z2 + 366912000*li4half*ln2^2*z2 + 
    13876800*ln2^6*z2 + 1309896000*s6*z2 + 320241600*li4half*z2^2 - 
    28992600*ln2^4*z2^2 - 206211600*ln2^2*z2^3 + 165202668*z2^4 + 
    1010016000*li5half*z3 - 987840000*li4half*ln2*z3 - 49576800*ln2^5*z3 + 
    331128000*ln2^3*z2*z3 + 684936000*ln2*z2^2*z3 - 646128000*ln2^2*z3^2 - 
    48116250*z2*z3^2 - 109368000*ln2^3*z5 + 264946500*ln2*z2*z5 - 
    1388346750*z3*z5 - 2912844375*ln2*z7)/28224000, 
 H[0, -1, 1, 1, 0, 1, -1, 1, 1] -> (-39513600*li4half^2 + 903168000*li8half - 
    45158400*li6half*ln2^2 - 3292800*li4half*ln2^4 - 108920*ln2^8 - 
    143808000*ln2^2*s6 + 369619425*s8a + 2322936000*s8b + 258451200*s8c + 
    215712000*s8d - 62092800*li6half*z2 - 67737600*li5half*ln2*z2 - 
    11289600*li4half*ln2^2*z2 + 321440*ln2^6*z2 - 692966400*s6*z2 + 
    62522880*li4half*z2^2 - 3557120*ln2^4*z2^2 + 20986560*ln2^2*z2^3 - 
    50357448*z2^4 - 358041600*li5half*z3 + 2983680*ln2^5*z3 - 
    39715200*ln2^3*z2*z3 - 280725480*ln2*z2^2*z3 - 24393600*ln2^2*z3^2 - 
    283273200*z2*z3^2 - 767151000*ln2*z2*z5 + 322328475*z3*z5)/3763200, 
 H[0, -1, 1, 1, 0, 1, -1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 
    6720000*ln2^2*s6 - 13748175*s8a - 76440000*s8b - 13440000*s8c - 
    2688000*s8d - 32256000*li6half*z2 - 4032000*li4half*ln2^2*z2 - 
    212800*ln2^6*z2 - 168000*s6*z2 - 7492800*li4half*z2^2 + 
    359800*ln2^4*z2^2 + 2562000*ln2^2*z2^3 + 2131632*z2^4 - 
    2688000*li5half*z3 + 22400*ln2^5*z3 - 224000*ln2^3*z2*z3 + 
    10575600*ln2*z2^2*z3 + 1890000*ln2^2*z3^2 + 20900250*z2*z3^2 + 
    48415500*ln2*z2*z5 - 10972500*z3*z5)/1344000, 
 H[0, -1, 1, 1, 0, 1, -1, -1, 1] -> 
  (-395136000*li4half^2 + 2709504000*li7half*ln2 + 677376000*li6half*ln2^2 - 
    32928000*li4half*ln2^4 - 282800*ln2^8 - 519120000*ln2^2*s6 + 
    320544000*ln2*s7a - 1316448000*ln2*s7b + 796795650*s8a + 3324384000*s8b + 
    834624000*s8c + 12096000*s8d - 677376000*li6half*z2 + 
    338688000*li5half*ln2*z2 + 536256000*li4half*ln2^2*z2 + 
    15758400*ln2^6*z2 - 750960000*s6*z2 + 321350400*li4half*z2^2 - 
    369600*ln2^4*z2^2 + 236628000*ln2^2*z2^3 + 222158304*z2^4 - 
    362880000*li5half*z3 - 1037232000*li4half*ln2*z3 - 40194000*ln2^5*z3 + 
    340200000*ln2^3*z2*z3 + 151603200*ln2*z2^2*z3 + 104044500*ln2^2*z3^2 - 
    535342500*z2*z3^2 + 1585836000*ln2^3*z5 + 1301895000*ln2*z2*z5 + 
    505953000*z3*z5 - 10303846875*ln2*z7)/56448000, 
 H[0, -1, 1, 1, 0, 0, 1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    1680000*ln2^2*s6 + 1945650*s8a - 34608000*s8b - 3360000*s8c + 
    3360000*s8d - 28224000*li5half*ln2*z2 + 235200*ln2^6*z2 + 7392000*s6*z2 + 
    13843200*li4half*z2^2 - 11200*ln2^4*z2^2 - 2620800*ln2^2*z2^3 - 
    6071956*z2^4 + 5040000*li5half*z3 - 42000*ln2^5*z3 + 420000*ln2^3*z2*z3 + 
    3717000*ln2*z2^2*z3 + 472500*ln2^2*z3^2 - 2735250*z2*z3^2 + 
    37642500*ln2*z2*z5 + 19579875*z3*z5)/9408000, 
 H[0, -1, 1, 1, 0, 0, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    5040000*ln2^2*s6 - 25981200*s8a + 21420000*s8b - 10080000*s8c + 
    10080000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    14868000*s6*z2 - 27972000*li4half*z2^2 + 598500*ln2^4*z2^2 - 
    806400*ln2^2*z2^3 + 10971318*z2^4 - 13104000*li5half*z3 + 
    109200*ln2^5*z3 - 1092000*ln2^3*z2*z3 + 12385800*ln2*z2^2*z3 + 
    1417500*ln2^2*z3^2 + 5024250*z2*z3^2 - 17388000*ln2*z2*z5 - 
    21522375*z3*z5)/7056000, H[0, -1, 1, 1, 0, 0, 1, -1, 1] -> 
  (-3655680*ln2^2*s6 + 403200*ln2*s7a - 1102080*ln2*s7b + 8081745*s8a + 
    45071040*s8b + 6504960*s8c + 4784640*s8d + 1128960*li4half*ln2^2*z2 + 
    47040*ln2^6*z2 - 15120000*s6*z2 + 684096*li4half*z2^2 - 
    253736*ln2^4*z2^2 + 2092608*ln2^2*z2^3 + 250732*z2^4 - 
    10039680*li5half*z3 + 83664*ln2^5*z3 - 836640*ln2^3*z2*z3 - 
    6547632*ln2*z2^2*z3 - 410760*ln2^2*z3^2 - 6998460*z2*z3^2 + 
    1458240*ln2^3*z5 - 19432140*ln2*z2*z5 + 15607830*z3*z5 - 4838190*ln2*z7)/
   376320, H[0, -1, 1, 1, 0, 0, 0, 1, 1] -> 
  (-537600*ln2^2*s6 + 2220225*s8a + 1948800*s8b + 1075200*s8c - 1075200*s8d - 
    2788800*s6*z2 + 772800*li4half*z2^2 + 32200*ln2^4*z2^2 + 
    137760*ln2^2*z2^3 - 488344*z2^4 - 1612800*li5half*z3 + 13440*ln2^5*z3 - 
    134400*ln2^3*z2*z3 - 1542240*ln2*z2^2*z3 - 151200*ln2^2*z3^2 + 
    2185050*z2*z3^2 + 5109300*ln2*z2*z5 - 3071250*z3*z5)/940800, 
 H[0, -1, 1, 1, 0, 0, 0, 0, 1] -> (13825*s8a - 196000*s8b + 28000*s6*z2 - 
    117600*li4half*z2^2 - 4900*ln2^4*z2^2 + 92400*ln2^2*z2^3 + 3842*z2^4 - 
    126000*ln2*z2^2*z3 - 21000*z2*z3^2 - 84000*ln2*z2*z5 + 420000*z3*z5)/
   56000, H[0, -1, 1, 1, 0, 0, 0, -1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 - 5126400*ln2^2*s6 + 
    3110400*ln2*s7a - 115200*ln2*s7b + 7211925*s8a + 37900800*s8b + 
    4032000*s8c + 5644800*s8d - 806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 
    16430400*s6*z2 + 241920*li4half*z2^2 + 110880*ln2^4*z2^2 + 
    2219040*ln2^2*z2^3 - 963096*z2^4 - 12499200*li5half*z3 + 
    2822400*li4half*ln2*z3 + 221760*ln2^5*z3 - 1747200*ln2^3*z2*z3 - 
    8066160*ln2*z2^2*z3 + 3321000*ln2^2*z3^2 - 4970700*z2*z3^2 + 
    3124800*ln2^3*z5 - 10541700*ln2*z2*z5 + 18788175*z3*z5 + 1932750*ln2*z7)/
   403200, H[0, -1, 1, 1, 0, 0, -1, 1, 1] -> 
  (2257920*li4half^2 + 188160*li4half*ln2^4 + 3920*ln2^8 + 3937920*ln2^2*s6 - 
    7912170*s8a - 45333120*s8b - 6370560*s8c - 4919040*s8d + 
    1128960*li6half*z2 + 2257920*li5half*ln2*z2 - 564480*li4half*ln2^2*z2 - 
    40768*ln2^6*z2 + 14589120*s6*z2 - 1623552*li4half*z2^2 + 
    96992*ln2^4*z2^2 - 2142000*ln2^2*z2^3 - 403748*z2^4 + 
    7392000*li5half*z3 - 61600*ln2^5*z3 + 1274560*ln2^3*z2*z3 + 
    6621720*ln2*z2^2*z3 + 222600*ln2^2*z3^2 + 7747320*z2*z3^2 + 
    22295700*ln2*z2*z5 - 15282645*z3*z5)/376320, 
 H[0, -1, 1, 1, 0, 0, -1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    2016000*ln2^2*s6 - 3589425*s8a - 5040000*s8b + 4032000*s8c - 
    4032000*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 + 
    17236800*s6*z2 - 7862400*li4half*z2^2 - 1033200*ln2^4*z2^2 + 
    322560*ln2^2*z2^3 + 5773524*z2^4 + 24998400*li5half*z3 - 
    208320*ln2^5*z3 + 2083200*ln2^3*z2*z3 + 1590120*ln2*z2^2*z3 - 
    567000*ln2^2*z3^2 - 9947700*z2*z3^2 - 34057800*ln2*z2*z5 - 3948525*z3*z5)/
   2822400, H[0, -1, 1, 1, 0, 0, -1, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4608000*ln2^2*s6 + 5280000*ln2*s7a + 10656000*ln2*s7b - 2927400*s8a - 
    2688000*s8b - 6720000*s8c + 6720000*s8d - 8064000*li5half*ln2*z2 - 
    10080000*li4half*ln2^2*z2 - 352800*ln2^6*z2 - 11760000*s6*z2 - 
    5040000*li4half*z2^2 + 1134000*ln2^4*z2^2 + 3297600*ln2^2*z2^3 - 
    2654584*z2^4 - 4704000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    921200*ln2^5*z3 - 7448000*ln2^3*z2*z3 - 8700000*ln2*z2^2*z3 + 
    9949500*ln2^2*z3^2 + 2257500*z2*z3^2 - 5208000*ln2^3*z5 - 
    6396000*ln2*z2*z5 + 11836125*z3*z5 + 69495750*ln2*z7)/1344000, 
 H[0, -1, 1, 1, 0, -1, 1, 1, 1] -> (36288000*li4half^2 - 645120000*li8half - 
    10752000*li5half*ln2^3 + 3024000*li4half*ln2^4 + 136600*ln2^8 + 
    85680000*ln2^2*s6 - 224470575*s8a - 1572984000*s8b - 171360000*s8c - 
    135072000*s8d + 84672000*li6half*z2 + 44352000*li5half*ln2*z2 - 
    700000*ln2^6*z2 + 467712000*s6*z2 - 40320000*li4half*z2^2 + 
    5594400*ln2^4*z2^2 - 14076000*ln2^2*z2^3 + 16440048*z2^4 + 
    257040000*li5half*z3 - 2142000*ln2^5*z3 + 21420000*ln2^3*z2*z3 + 
    189567000*ln2*z2^2*z3 + 24097500*ln2^2*z3^2 + 169753500*z2*z3^2 + 
    3255000*ln2^3*z5 + 561393000*ln2*z2*z5 - 157870125*z3*z5)/8064000, 
 H[0, -1, 1, 1, 0, -1, 1, 0, 1] -> (-768000*ln2^2*s6 + 1196400*s8a + 
    10608000*s8b + 1536000*s8c + 768000*s8d + 2304000*li6half*z2 - 
    768000*li5half*ln2*z2 - 576000*li4half*ln2^2*z2 - 14400*ln2^6*z2 - 
    1344000*s6*z2 + 388800*li4half*z2^2 + 48200*ln2^4*z2^2 - 
    76800*ln2^2*z2^3 + 184284*z2^4 - 3552000*li5half*z3 + 29600*ln2^5*z3 - 
    296000*ln2^3*z2*z3 - 1644600*ln2*z2^2*z3 - 216000*ln2^2*z3^2 - 
    2054250*z2*z3^2 - 6009000*ln2*z2*z5 + 2942625*z3*z5)/192000, 
 H[0, -1, 1, 1, 0, -1, 1, -1, 1] -> 
  (9031680000*li8half + 1354752000*li7half*ln2 + 37632000*li5half*ln2^3 - 
    358400*ln2^8 - 1432368000*ln2^2*s6 + 205632000*ln2*s7a - 
    274176000*ln2*s7b + 3453507225*s8a + 21473928000*s8b + 2453472000*s8c + 
    1921248000*s8d + 338688000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 1450400*ln2^6*z2 - 5846400000*s6*z2 + 
    374371200*li4half*z2^2 - 36498000*ln2^4*z2^2 + 239148000*ln2^2*z2^3 - 
    587674224*z2^4 - 3754296000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    34372800*ln2^5*z3 - 331380000*ln2^3*z2*z3 - 2642736600*ln2*z2^2*z3 - 
    87979500*ln2^2*z3^2 - 2734231500*z2*z3^2 + 453421500*ln2^3*z5 - 
    6741346500*ln2*z2*z5 + 3039135750*z3*z5 - 2527386750*ln2*z7)/28224000, 
 H[0, -1, 1, 1, 0, -1, 0, 1, 1] -> (15456000*ln2^2*s6 - 23339400*s8a + 
    62160000*s8b - 30912000*s8c + 30912000*s8d - 395136000*li6half*z2 - 
    131712000*li5half*ln2*z2 + 548800*ln2^6*z2 - 247632000*s6*z2 + 
    6888000*li4half*z2^2 - 2457000*ln2^4*z2^2 + 17236800*ln2^2*z2^3 + 
    45804756*z2^4 + 46368000*li5half*z3 - 386400*ln2^5*z3 + 
    3864000*ln2^3*z2*z3 + 36401400*ln2*z2^2*z3 + 4347000*ln2^2*z3^2 + 
    82131000*z2*z3^2 + 130074000*ln2*z2*z5 - 67806375*z3*z5)/9408000, 
 H[0, -1, 1, 1, 0, -1, 0, 0, 1] -> (-483840*ln2^2*s6 + 897540*s8a - 
    927360*s8b + 967680*s8c - 967680*s8d + 1700160*s6*z2 + 
    4032*li4half*z2^2 + 168*ln2^4*z2^2 + 138096*ln2^2*z2^3 + 193366*z2^4 - 
    322560*li5half*z3 + 2688*ln2^5*z3 - 26880*ln2^3*z2*z3 - 
    855288*ln2*z2^2*z3 - 136080*ln2^2*z3^2 - 518490*z2*z3^2 - 
    1721160*ln2*z2*z5 + 1032885*z3*z5)/188160, 
 H[0, -1, 1, 1, 0, -1, 0, -1, 1] -> 
  (-3225600*li4half^2 - 268800*li4half*ln2^4 - 5600*ln2^8 - 
    1324800*ln2^2*s6 - 1094400*ln2*s7a - 2707200*ln2*s7b + 5117175*s8a + 
    20361600*s8b + 4838400*s8c - 4838400*li6half*z2 + 806400*li5half*ln2*z2 + 
    2822400*li4half*ln2^2*z2 + 104160*ln2^6*z2 - 5040000*s6*z2 + 
    2106720*li4half*z2^2 - 248220*ln2^4*z2^2 + 638640*ln2^2*z2^3 + 
    1315998*z2^4 - 1814400*li5half*z3 - 5644800*li4half*ln2*z3 - 
    220080*ln2^5*z3 + 1260000*ln2^3*z2*z3 - 1232640*ln2*z2^2*z3 - 
    2048400*ln2^2*z3^2 - 3287025*z2*z3^2 + 1562400*ln2^3*z5 - 
    6647850*ln2*z2*z5 + 3904425*z3*z5 - 19547550*ln2*z7)/403200, 
 H[0, -1, 1, 1, 0, -1, -1, 1, 1] -> 
  (112896000*li4half^2 - 4515840000*li8half + 338688000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 240800*ln2^8 + 
    948024000*ln2^2*s6 - 2106627075*s8a - 12435192000*s8b - 1507968000*s8c - 
    1145088000*s8d - 338688000*li6half*z2 + 7056000*li4half*ln2^2*z2 - 
    960400*ln2^6*z2 + 3433248000*s6*z2 - 272764800*li4half*z2^2 + 
    13507200*ln2^4*z2^2 - 192528000*ln2^2*z2^3 + 342434628*z2^4 + 
    2261952000*li5half*z3 - 18849600*ln2^5*z3 + 188496000*ln2^3*z2*z3 + 
    1668189600*ln2*z2^2*z3 + 139293000*ln2^2*z3^2 + 1698102000*z2*z3^2 - 
    11392500*ln2^3*z5 + 4523904000*ln2*z2*z5 - 2289766500*z3*z5)/28224000, 
 H[0, -1, 1, 1, 0, -1, -1, 0, 1] -> 
  (-8736000*ln2^2*s6 + 9520350*s8a - 43008000*s8b + 17472000*s8c - 
    17472000*s8d + 112896000*li6half*z2 + 37632000*li5half*ln2*z2 - 
    156800*ln2^6*z2 + 103152000*s6*z2 - 4670400*li4half*z2^2 + 
    589400*ln2^4*z2^2 - 1848000*ln2^2*z2^3 - 9701004*z2^4 - 
    30912000*li5half*z3 + 257600*ln2^5*z3 - 2576000*ln2^3*z2*z3 - 
    19122600*ln2*z2^2*z3 - 2457000*ln2^2*z3^2 - 36734250*z2*z3^2 - 
    72628500*ln2*z2*z5 + 59395875*z3*z5)/9408000, 
 H[0, -1, 1, 1, 0, -1, -1, -1, 1] -> 
  (-22579200*li4half^2 - 903168000*li8half - 541900800*li7half*ln2 - 
    135475200*li6half*ln2^2 - 15052800*li5half*ln2^3 - 
    1881600*li4half*ln2^4 - 16800*ln2^8 + 161280000*ln2^2*s6 - 
    129427200*ln2*s7a + 152812800*ln2*s7b - 311760225*s8a - 1957435200*s8b - 
    218937600*s8c - 176198400*s8d + 16934400*li5half*ln2*z2 + 
    19756800*li4half*ln2^2*z2 + 619360*ln2^6*z2 + 554198400*s6*z2 - 
    20563200*li4half*z2^2 - 2973600*ln2^4*z2^2 - 27629280*ln2^2*z2^3 + 
    58371552*z2^4 + 338284800*li5half*z3 - 39513600*li4half*ln2*z3 - 
    4465440*ln2^5*z3 + 38068800*ln2^3*z2*z3 + 210367080*ln2*z2^2*z3 - 
    101889900*ln2^2*z3^2 + 237453300*z2*z3^2 - 268863000*ln2^3*z5 + 
    196988400*ln2*z2*z5 - 258890625*z3*z5 + 1178312625*ln2*z7)/11289600, 
 H[0, -1, 1, 1, -1, 1, 1, 1, 1] -> 
  (112896000*li4half^2 + 1806336000*li8half + 7056000*li4half*ln2^4 + 
    142800*ln2^8 - 51408000*ln2^2*s6 + 226546425*s8a + 231336000*s8b + 
    102816000*s8c - 116928000*s8d - 225792000*li6half*z2 + 
    338688000*li5half*ln2*z2 - 1568000*ln2^6*z2 + 29232000*s6*z2 - 
    54432000*li4half*z2^2 + 4082400*ln2^4*z2^2 - 17841600*ln2^2*z2^3 - 
    145822032*z2^4 - 302400000*li5half*z3 + 2520000*ln2^5*z3 - 
    12852000*ln2^3*z2*z3 - 121149000*ln2*z2^2*z3 - 14458500*ln2^2*z3^2 + 
    38650500*z2*z3^2 + 199584000*ln2*z2*z5 - 73119375*z3*z5)/56448000, 
 H[0, -1, 1, 1, -1, 1, 1, 0, 1] -> 
  (225792000*li4half^2 - 2032128000*li8half + 18816000*li4half*ln2^4 + 
    341600*ln2^8 + 186480000*ln2^2*s6 - 589221675*s8a - 2610216000*s8b - 
    372960000*s8c - 177408000*s8d - 254016000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 169344000*li4half*ln2^2*z2 - 
    3175200*ln2^6*z2 + 524160000*s6*z2 - 62294400*li4half*z2^2 + 
    20160000*ln2^4*z2^2 - 49392000*ln2^2*z2^3 + 204666912*z2^4 + 
    552384000*li5half*z3 + 7056000*li4half*ln2*z3 - 4309200*ln2^5*z3 + 
    44268000*ln2^3*z2*z3 + 411881400*ln2*z2^2*z3 + 52447500*ln2^2*z3^2 + 
    416209500*z2*z3^2 + 1080513000*ln2*z2*z5 - 535586625*z3*z5)/56448000, 
 H[0, -1, 1, 1, -1, 1, 1, -1, 1] -> 
  (-1524096000*li8half + 56448000*li7half*ln2 + 2352000*li4half*ln2^4 + 
    49000*ln2^8 + 321552000*ln2^2*s6 - 76608000*ln2*s7a + 135072000*ln2*s7b - 
    623260575*s8a - 3113208000*s8b - 489888000*s8c - 145152000*s8d - 
    508032000*li6half*z2 - 508032000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 1528800*ln2^6*z2 + 396144000*s6*z2 - 
    36086400*li4half*z2^2 - 10323600*ln2^4*z2^2 - 40924800*ln2^2*z2^3 + 
    124846128*z2^4 + 734832000*li5half*z3 + 49392000*li4half*ln2*z3 - 
    4065600*ln2^5*z3 + 48888000*ln2^3*z2*z3 + 484583400*ln2*z2^2*z3 - 
    26869500*ln2^2*z3^2 + 551974500*z2*z3^2 - 205065000*ln2^3*z5 + 
    1280601000*ln2*z2*z5 - 632417625*z3*z5 + 842018625*ln2*z7)/56448000, 
 H[0, -1, 1, 1, -1, 1, 0, 1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 - 
    27216000*ln2^2*s6 + 81299925*s8a + 567000000*s8b + 54432000*s8c + 
    72576000*s8d + 24192000*li6half*z2 - 60480000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 + 453600*ln2^6*z2 - 181440000*s6*z2 + 
    24595200*li4half*z2^2 - 2629200*ln2^4*z2^2 + 4788000*ln2^2*z2^3 - 
    4635432*z2^4 - 79632000*li5half*z3 - 2016000*li4half*ln2*z3 + 
    579600*ln2^5*z3 - 6132000*ln2^3*z2*z3 - 52075800*ln2*z2^2*z3 - 
    7654500*ln2^2*z3^2 - 103288500*z2*z3^2 - 229257000*ln2*z2*z5 + 
    189070875*z3*z5)/8064000, H[0, -1, 1, 1, -1, 1, 0, 0, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 + 779520*ln2^2*s6 - 
    2277975*s8a - 14985600*s8b - 1559040*s8c - 1263360*s8d + 
    1128960*li6half*z2 + 1128960*li5half*ln2*z2 + 1128960*li4half*ln2^2*z2 + 
    39200*ln2^6*z2 + 4267200*s6*z2 + 1478400*li4half*z2^2 + 
    96880*ln2^4*z2^2 - 727776*ln2^2*z2^3 - 462612*z2^4 + 4126080*li5half*z3 - 
    282240*li4half*ln2*z3 - 46144*ln2^5*z3 + 414400*ln2^3*z2*z3 + 
    3909696*ln2*z2^2*z3 + 219240*ln2^2*z3^2 + 1754340*z2*z3^2 + 
    6079500*ln2*z2*z5 - 7059360*z3*z5)/376320, 
 H[0, -1, 1, 1, -1, 1, 0, -1, 1] -> 
  (-158054400*li4half^2 - 1354752000*li8half - 270950400*li7half*ln2 - 
    13171200*li4half*ln2^4 - 254240*ln2^8 + 183254400*ln2^2*s6 - 
    101606400*ln2*s7a - 42336000*ln2*s7b - 315291375*s8a - 2375553600*s8b - 
    163296000*s8c - 276998400*s8d - 16934400*li6half*z2 - 
    186278400*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 + 987840*ln2^6*z2 + 
    769910400*s6*z2 + 31248000*li4half*z2^2 + 2924880*ln2^4*z2^2 - 
    68937120*ln2^2*z2^3 + 116228376*z2^4 + 755798400*li5half*z3 - 
    66326400*li4half*ln2*z3 - 9061920*ln2^5*z3 + 79564800*ln2^3*z2*z3 + 
    397265400*ln2*z2^2*z3 - 104044500*ln2^2*z3^2 + 220903200*z2*z3^2 - 
    57418200*ln2^3*z5 + 835984800*ln2*z2*z5 - 545591025*z3*z5 - 
    241679025*ln2*z7)/11289600, H[0, -1, 1, 1, -1, 1, -1, 1, 1] -> 
  (-20160000*li8half - 6048000*li6half*ln2^2 + 168000*li4half*ln2^4 - 
    1900*ln2^8 + 1512000*ln2^2*s6 - 9164925*s8a - 30240000*s8b + 
    6048000*s8c - 22176000*s8d + 24192000*li6half*z2 + 
    18144000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 271600*ln2^6*z2 + 
    73584000*s6*z2 - 4334400*li4half*z2^2 + 2083200*ln2^4*z2^2 + 
    39600*ln2^2*z2^3 + 12645792*z2^4 + 24696000*li5half*z3 + 
    1008000*li4half*ln2*z3 - 163800*ln2^5*z3 - 9786000*ln2^3*z2*z3 - 
    705600*ln2*z2^2*z3 + 5055750*ln2^2*z3^2 - 17561250*z2*z3^2 - 
    97240500*ln2*z2*z5 - 20112750*z3*z5)/4032000, 
 H[0, -1, 1, 1, -1, 1, -1, 0, 1] -> 
  (2257920000*li8half + 56000*ln2^8 + 33264000*ln2^2*s6 + 287404425*s8a + 
    2771496000*s8b - 66528000*s8c + 659232000*s8d + 141120000*li6half*z2 + 
    254016000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 2900800*ln2^6*z2 - 
    1445472000*s6*z2 + 137491200*li4half*z2^2 - 151200*ln2^4*z2^2 + 
    16531200*ln2^2*z2^3 - 363298032*z2^4 - 1085616000*li5half*z3 - 
    56448000*li4half*ln2*z3 + 6694800*ln2^5*z3 - 76356000*ln2^3*z2*z3 - 
    109859400*ln2*z2^2*z3 + 9355500*ln2^2*z3^2 - 22428000*z2*z3^2 + 
    237951000*ln2*z2*z5 + 367770375*z3*z5)/56448000, 
 H[0, -1, 1, 1, -1, 1, -1, -1, 1] -> 
  (-338688000*li4half^2 - 677376000*li8half - 169344000*li7half*ln2 + 
    84672000*li6half*ln2^2 - 30576000*li4half*ln2^4 - 551600*ln2^8 - 
    85680000*ln2^2*s6 - 120960000*ln2*s7a - 163296000*ln2*s7b + 
    168543900*s8a + 178416000*s8b + 286272000*s8c - 145152000*s8d + 
    169344000*li6half*z2 - 254016000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 6115200*ln2^6*z2 + 389088000*s6*z2 + 
    131846400*li4half*z2^2 - 22083600*ln2^4*z2^2 - 59724000*ln2^2*z2^3 + 
    146434464*z2^4 + 544320000*li5half*z3 - 162288000*li4half*ln2*z3 - 
    11298000*ln2^5*z3 + 207648000*ln2^3*z2*z3 + 127864800*ln2*z2^2*z3 - 
    274144500*ln2^2*z3^2 - 175675500*z2*z3^2 + 41013000*ln2^3*z5 + 
    118314000*ln2*z2*z5 - 553644000*z3*z5 - 1783663875*ln2*z7)/56448000, 
 H[0, -1, 1, 1, -1, 0, 1, 1, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 - 
    9576000*ln2^2*s6 - 13656825*s8a + 73080000*s8b + 19152000*s8c - 
    19152000*s8d + 190512000*li6half*z2 + 63504000*li5half*ln2*z2 + 
    3528000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 144144000*s6*z2 - 
    2066400*li4half*z2^2 + 795900*ln2^4*z2^2 - 5859000*ln2^2*z2^3 + 
    5483628*z2^4 - 30492000*li5half*z3 + 1764000*li4half*ln2*z3 + 
    327600*ln2^5*z3 - 2982000*ln2^3*z2*z3 - 21363300*ln2*z2^2*z3 - 
    2693250*ln2^2*z3^2 - 51959250*z2*z3^2 - 238045500*ln2*z2*z5 - 
    26145000*z3*z5)/14112000, H[0, -1, 1, 1, -1, 0, 1, 0, 1] -> 
  (806400*ln2^2*s6 - 895650*s8a - 9273600*s8b - 1612800*s8c + 1612800*s8d + 
    11289600*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 141120*ln2^6*z2 - 
    1814400*s6*z2 - 3769920*li4half*z2^2 - 627480*ln2^4*z2^2 + 
    4132800*ln2^2*z2^3 - 642676*z2^4 + 4300800*li5half*z3 + 
    2822400*li4half*ln2*z3 + 81760*ln2^5*z3 - 347200*ln2^3*z2*z3 + 
    1296120*ln2*z2^2*z3 + 226800*ln2^2*z3^2 + 467250*z2*z3^2 - 
    6583500*ln2*z2*z5 + 4254075*z3*z5)/1881600, 
 H[0, -1, 1, 1, -1, 0, 1, -1, 1] -> 
  (32256000*li4half^2 + 2688000*li4half*ln2^4 + 56000*ln2^8 - 
    33696000*ln2^2*s6 + 15552000*ln2*s7a - 20736000*ln2*s7b + 26976600*s8a + 
    92736000*s8b + 36288000*s8c - 12096000*s8d + 48384000*li6half*z2 + 
    78624000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 - 504000*ln2^6*z2 + 
    38304000*s6*z2 - 16934400*li4half*z2^2 + 2318400*ln2^4*z2^2 + 
    16286400*ln2^2*z2^3 + 6932376*z2^4 - 60984000*li5half*z3 + 
    6552000*li4half*ln2*z3 + 781200*ln2^5*z3 - 6720000*ln2^3*z2*z3 - 
    34837200*ln2*z2^2*z3 + 14337000*ln2^2*z3^2 - 39123000*z2*z3^2 + 
    35154000*ln2^3*z5 - 132907500*ln2*z2*z5 + 72410625*z3*z5 - 
    98664750*ln2*z7)/4032000, H[0, -1, 1, 1, -1, 0, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    9576000*ln2^2*s6 + 13656825*s8a - 73080000*s8b - 19152000*s8c + 
    19152000*s8d - 127008000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 823200*ln2^6*z2 - 152964000*s6*z2 + 
    25704000*li4half*z2^2 - 1575000*ln2^4*z2^2 - 3490200*ln2^2*z2^3 - 
    16464948*z2^4 + 39312000*li5half*z3 - 10584000*li4half*ln2*z3 - 
    768600*ln2^5*z3 + 5922000*ln2^3*z2*z3 + 13645800*ln2*z2^2*z3 + 
    2693250*ln2^2*z3^2 + 83931750*z2*z3^2 + 333963000*ln2*z2*z5 - 
    70489125*z3*z5)/14112000, H[0, -1, 1, 1, -1, 0, 0, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    1209600*ln2^2*s6 + 1343475*s8a + 13910400*s8b + 2419200*s8c - 
    2419200*s8d - 5644800*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 
    6249600*s6*z2 - 9233280*li4half*z2^2 + 320880*ln2^4*z2^2 + 
    2867760*ln2^2*z2^3 + 2892276*z2^4 - 12096000*li5half*z3 + 
    100800*ln2^5*z3 - 1008000*ln2^3*z2*z3 - 12625200*ln2*z2^2*z3 - 
    340200*ln2^2*z3^2 - 2872800*z2*z3^2 - 19296900*ln2*z2*z5 + 
    20856150*z3*z5)/2822400, H[0, -1, 1, 1, -1, 0, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    2304000*ln2^2*s6 + 6768000*ln2*s7a + 10800000*ln2*s7b - 13488300*s8a - 
    46368000*s8b - 18144000*s8c + 6048000*s8d + 12096000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 - 16800*ln2^6*z2 - 8568000*s6*z2 - 
    4183200*li4half*z2^2 - 174300*ln2^4*z2^2 + 2700000*ln2^2*z2^3 - 
    5552148*z2^4 - 26712000*li5half*z3 + 5040000*li4half*ln2*z3 + 
    432600*ln2^5*z3 - 3486000*ln2^3*z2*z3 - 5473800*ln2*z2^2*z3 + 
    11011500*ln2^2*z3^2 + 15080625*z2*z3^2 - 3906000*ln2^3*z5 + 
    12375000*ln2*z2*z5 + 22262625*z3*z5 + 80998875*ln2*z7)/2016000, 
 H[0, -1, 1, 1, -1, 0, -1, 1, 1] -> 
  (-45158400*li4half^2 - 3763200*li4half*ln2^4 - 78400*ln2^8 - 
    3427200*ln2^2*s6 + 68095125*s8a + 426081600*s8b + 6854400*s8c + 
    111686400*s8d - 118540800*li6half*z2 - 160876800*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 + 1058400*ln2^6*z2 - 365904000*s6*z2 + 
    41811840*li4half*z2^2 - 5666640*ln2^4*z2^2 - 4546080*ln2^2*z2^3 - 
    27762048*z2^4 - 49089600*li5half*z3 - 5644800*li4half*ln2*z3 + 
    173880*ln2^5*z3 + 12138000*ln2^3*z2*z3 - 14797440*ln2*z2^2*z3 - 
    10687950*ln2^2*z3^2 + 9698850*z2*z3^2 + 219825900*ln2*z2*z5 + 
    102123000*z3*z5)/5644800, H[0, -1, 1, 1, -1, 0, -1, 0, 1] -> 
  (-3360000*ln2^2*s6 + 2911125*s8a + 2419200*s8b + 6720000*s8c - 
    6720000*s8d + 5644800*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 
    70560*ln2^6*z2 + 14616000*s6*z2 - 3484320*li4half*z2^2 - 
    380380*ln2^4*z2^2 + 1678320*ln2^2*z2^3 + 3729758*z2^4 + 
    8736000*li5half*z3 + 1881600*li4half*ln2*z3 + 5600*ln2^5*z3 + 
    257600*ln2^3*z2*z3 - 4823280*ln2*z2^2*z3 - 945000*ln2^2*z3^2 - 
    6991425*z2*z3^2 - 31537800*ln2*z2*z5 + 1121925*z3*z5)/940800, 
 H[0, -1, 1, 1, -1, 0, -1, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    8112000*ln2^2*s6 + 7776000*ln2*s7a + 3744000*ln2*s7b + 6602925*s8a + 
    42672000*s8b + 672000*s8c + 11424000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 - 28392000*s6*z2 - 2956800*li4half*z2^2 + 
    1136800*ln2^4*z2^2 + 5161200*ln2^2*z2^3 - 3891552*z2^4 - 
    22344000*li5half*z3 + 14280000*li4half*ln2*z3 + 781200*ln2^5*z3 - 
    8078000*ln2^3*z2*z3 - 14449200*ln2*z2^2*z3 + 11940750*ln2^2*z3^2 - 
    5958750*z2*z3^2 + 3906000*ln2^3*z5 - 18369000*ln2*z2*z5 + 
    41104875*z3*z5 + 46900125*ln2*z7)/1344000, 
 H[0, -1, 1, 1, -1, -1, 1, 1, 1] -> 
  (1862784000*li8half + 28224000*li5half*ln2^3 + 2352000*li4half*ln2^4 - 
    91000*ln2^8 - 335664000*ln2^2*s6 + 988125075*s8a + 5631192000*s8b + 
    671328000*s8c + 556416000*s8d - 84672000*li5half*ln2*z2 + 
    705600*ln2^6*z2 - 1726704000*s6*z2 + 114105600*li4half*z2^2 - 
    17236800*ln2^4*z2^2 + 72172800*ln2^2*z2^3 - 150884928*z2^4 - 
    964656000*li5half*z3 - 7056000*li4half*ln2*z3 + 7744800*ln2^5*z3 - 
    82152000*ln2^3*z2*z3 - 734895000*ln2*z2^2*z3 - 94405500*ln2^2*z3^2 - 
    737667000*z2*z3^2 - 54684000*ln2^3*z5 - 1853901000*ln2*z2*z5 + 
    1082993625*z3*z5)/56448000, H[0, -1, 1, 1, -1, -1, 1, 0, 1] -> 
  (225792000*li4half^2 + 903168000*li8half + 18816000*li4half*ln2^4 + 
    414400*ln2^8 - 95760000*ln2^2*s6 + 91726425*s8a + 1080072000*s8b + 
    191520000*s8c - 50400000*s8d + 225792000*li6half*z2 + 
    423360000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 4429600*ln2^6*z2 + 
    185472000*s6*z2 - 121564800*li4half*z2^2 - 1066800*ln2^4*z2^2 + 
    62899200*ln2^2*z2^3 + 38563128*z2^4 - 435456000*li5half*z3 + 
    91728000*li4half*ln2*z3 + 7450800*ln2^5*z3 - 59220000*ln2^3*z2*z3 - 
    221218200*ln2*z2^2*z3 - 26932500*ln2^2*z3^2 - 213097500*z2*z3^2 - 
    1274427000*ln2*z2*z5 + 33523875*z3*z5)/56448000, 
 H[0, -1, 1, 1, -1, -1, 1, -1, 1] -> 
  (338688000*li4half^2 - 1016064000*li8half + 169344000*li7half*ln2 - 
    28224000*li5half*ln2^3 + 25872000*li4half*ln2^4 + 666400*ln2^8 + 
    50400000*ln2^2*s6 + 66528000*ln2*s7a - 102816000*ln2*s7b - 
    449013600*s8a - 2346624000*s8b - 233856000*s8c - 260064000*s8d + 
    84672000*li6half*z2 + 338688000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 4468800*ln2^6*z2 + 851760000*s6*z2 - 
    212889600*li4half*z2^2 + 19824000*ln2^4*z2^2 + 68594400*ln2^2*z2^3 + 
    133947504*z2^4 + 202608000*li5half*z3 + 155232000*li4half*ln2*z3 + 
    4779600*ln2^5*z3 - 16632000*ln2^3*z2*z3 + 279972000*ln2*z2^2*z3 + 
    116046000*ln2^2*z3^2 + 246172500*z2*z3^2 + 218736000*ln2^3*z5 + 
    360612000*ln2*z2*z5 - 282192750*z3*z5 - 501629625*ln2*z7)/56448000, 
 H[0, -1, 1, 1, -1, -1, 0, 1, 1] -> 
  (76608000*ln2^2*s6 - 256808475*s8a - 1597176000*s8b - 153216000*s8c - 
    241920000*s8d + 239904000*li6half*z2 + 254016000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 1195600*ln2^6*z2 + 826056000*s6*z2 - 
    46267200*li4half*z2^2 + 9832200*ln2^4*z2^2 - 44679600*ln2^2*z2^3 + 
    6525684*z2^4 + 247464000*li5half*z3 - 17640000*li4half*ln2*z3 - 
    2797200*ln2^5*z3 + 25032000*ln2^3*z2*z3 + 169936200*ln2*z2^2*z3 + 
    21546000*ln2^2*z3^2 + 146553750*z2*z3^2 + 239368500*ln2*z2*z5 - 
    449804250*z3*z5)/28224000, H[0, -1, 1, 1, -1, -1, 0, 0, 1] -> 
  (-2318400*ln2^2*s6 + 10320975*s8a + 52416000*s8b + 4636800*s8c + 
    6652800*s8d - 11289600*li6half*z2 - 16934400*li5half*ln2*z2 - 
    4233600*li4half*ln2^2*z2 - 50960*ln2^6*z2 - 26712000*s6*z2 + 
    4717440*li4half*z2^2 - 450240*ln2^4*z2^2 - 1632960*ln2^2*z2^3 - 
    769302*z2^4 - 5544000*li5half*z3 - 2822400*li4half*ln2*z3 - 
    71400*ln2^5*z3 + 243600*ln2^3*z2*z3 - 5579280*ln2*z2^2*z3 - 
    652050*ln2^2*z3^2 - 3025575*z2*z3^2 + 6331500*ln2*z2*z5 + 9021600*z3*z5)/
   2822400, H[0, -1, 1, 1, -1, -1, 0, -1, 1] -> 
  (-112896000*li4half^2 + 1505280000*li8half + 301056000*li7half*ln2 - 
    9408000*li4half*ln2^4 - 218400*ln2^8 - 115248000*ln2^2*s6 - 
    16800000*ln2*s7a - 63840000*ln2*s7b + 368965275*s8a + 2301768000*s8b + 
    264096000*s8c + 121632000*s8d + 75264000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 103488000*li4half*ln2^2*z2 + 
    3449600*ln2^6*z2 - 424368000*s6*z2 + 97708800*li4half*z2^2 - 
    9884000*ln2^4*z2^2 - 16027200*ln2^2*z2^3 - 85514976*z2^4 - 
    379680000*li5half*z3 - 202272000*li4half*ln2*z3 - 5264000*ln2^5*z3 + 
    18928000*ln2^3*z2*z3 - 227879400*ln2*z2^2*z3 - 58138500*ln2^2*z3^2 - 
    272086500*z2*z3^2 + 45570000*ln2^3*z5 - 688842000*ln2*z2*z5 + 
    46365375*z3*z5 - 739018875*ln2*z7)/18816000, 
 H[0, -1, 1, 1, -1, -1, -1, 1, 1] -> 
  (-112896000*li4half^2 - 1693440000*li8half + 28224000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 - 11760000*li4half*ln2^4 - 61600*ln2^8 + 
    316512000*ln2^2*s6 - 777408975*s8a - 4814712000*s8b - 647136000*s8c - 
    326592000*s8d - 56448000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1920800*ln2^6*z2 + 1048320000*s6*z2 - 
    11692800*li4half*z2^2 + 2217600*ln2^4*z2^2 - 113551200*ln2^2*z2^3 + 
    19439424*z2^4 + 857808000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    9206400*ln2^5*z3 + 138516000*ln2^3*z2*z3 + 691551000*ln2*z2^2*z3 + 
    58149000*ln2^2*z3^2 + 736942500*z2*z3^2 + 54684000*ln2^3*z5 + 
    2474577000*ln2*z2*z5 - 832537125*z3*z5)/56448000, 
 H[0, -1, 1, 1, -1, -1, -1, 0, 1] -> 
  (-282240000*li8half - 7000*ln2^8 + 1008000*ln2^2*s6 - 21253050*s8a - 
    223272000*s8b - 2016000*s8c - 26208000*s8d - 28224000*li6half*z2 - 
    42336000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 803600*ln2^6*z2 + 
    52416000*s6*z2 - 14061600*li4half*z2^2 - 1173900*ln2^4*z2^2 + 
    7232400*ln2^2*z2^3 + 27297882*z2^4 + 101808000*li5half*z3 + 
    14112000*li4half*ln2*z3 - 260400*ln2^5*z3 + 4956000*ln2^3*z2*z3 + 
    17047800*ln2*z2^2*z3 + 283500*ln2^2*z3^2 + 1677375*z2*z3^2 + 
    27216000*ln2*z2*z5 + 25893000*z3*z5)/14112000, 
 H[0, -1, 1, 1, -1, -1, -1, -1, 1] -> 
  (217728000*li8half - 8064000*li7half*ln2 - 4032000*li6half*ln2^2 + 
    4032000*li5half*ln2^3 + 336000*li4half*ln2^4 - 18200*ln2^8 - 
    13680000*ln2^2*s6 - 1440000*ln2*s7a + 18720000*ln2*s7b + 59049900*s8a + 
    389088000*s8b + 32256000*s8c + 38304000*s8d + 12096000*li6half*z2 + 
    12096000*li5half*ln2*z2 - 84000*ln2^6*z2 - 110880000*s6*z2 + 
    7660800*li4half*z2^2 - 672000*ln2^4*z2^2 + 1972800*ln2^2*z2^3 - 
    20380176*z2^4 - 89712000*li5half*z3 + 747600*ln2^5*z3 - 
    13524000*ln2^3*z2*z3 - 60393600*ln2*z2^2*z3 - 1642500*ln2^2*z3^2 - 
    43974000*z2*z3^2 - 27342000*ln2^3*z5 - 164484000*ln2*z2*z5 + 
    69000750*z3*z5 + 125857125*ln2*z7)/8064000, 
 H[0, -1, 1, 0, 1, 1, 1, 1, 1] -> (-864000*li4half^2 - 72000*li4half*ln2^4 - 
    1500*ln2^8 + 144000*ln2^2*s6 - 213675*s8a + 1080000*s8b - 288000*s8c + 
    288000*s8d - 1440000*li6half*z2 - 1152000*li5half*ln2*z2 + 
    7600*ln2^6*z2 - 1056000*s6*z2 + 451200*li4half*z2^2 + 6800*ln2^4*z2^2 - 
    105600*ln2^2*z2^3 + 59352*z2^4 + 1440000*li5half*z3 - 12000*ln2^5*z3 + 
    36000*ln2^3*z2*z3 + 369000*ln2*z2^2*z3 + 40500*ln2^2*z3^2 + 
    217500*z2*z3^2 + 576000*ln2*z2*z5 - 733875*z3*z5)/192000, 
 H[0, -1, 1, 0, 1, 1, 1, 0, 1] -> (4032000*li4half^2 + 336000*li4half*ln2^4 + 
    7000*ln2^8 - 672000*ln2^2*s6 - 203175*s8a - 1596000*s8b + 1344000*s8c - 
    1344000*s8d - 2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 1848000*s6*z2 - 
    1260000*li4half*z2^2 + 199500*ln2^4*z2^2 + 281400*ln2^2*z2^3 + 
    1369652*z2^4 - 6720000*li5half*z3 + 56000*ln2^5*z3 - 560000*ln2^3*z2*z3 - 
    1533000*ln2*z2^2*z3 - 189000*ln2^2*z3^2 + 1212750*z2*z3^2 - 
    1008000*ln2*z2*z5 - 3026625*z3*z5)/672000, 
 H[0, -1, 1, 0, 1, 1, 1, -1, 1] -> (14112000*li4half^2 + 4515840000*li8half + 
    903168000*li7half*ln2 + 1176000*li4half*ln2^4 - 42700*ln2^8 - 
    568512000*ln2^2*s6 + 23184000*ln2*s7a - 195552000*ln2*s7b + 
    1530197550*s8a + 9771048000*s8b + 1090656000*s8c + 814464000*s8d + 
    56448000*li6half*z2 + 254016000*li5half*ln2*z2 + 
    183456000*li4half*ln2^2*z2 + 6232800*ln2^6*z2 - 2648520000*s6*z2 + 
    189705600*li4half*z2^2 - 36607200*ln2^4*z2^2 + 111736800*ln2^2*z2^3 - 
    251577612*z2^4 - 1833552000*li5half*z3 - 271656000*li4half*ln2*z3 + 
    3960600*ln2^5*z3 - 66360000*ln2^3*z2*z3 - 1075611600*ln2*z2^2*z3 - 
    124393500*ln2^2*z3^2 - 1086561000*z2*z3^2 + 211900500*ln2^3*z5 - 
    2742957000*ln2*z2*z5 + 948402000*z3*z5 - 2317982625*ln2*z7)/28224000, 
 H[0, -1, 1, 0, 1, 1, 0, 1, 1] -> 
  (1420825*s8a - 3472000*s8b + 1120000*s6*z2 + 33600*li4half*z2^2 + 
    1400*ln2^4*z2^2 - 8400*ln2^2*z2^3 - 1152348*z2^4 + 42000*ln2*z2^2*z3 - 
    1736000*z2*z3^2 + 1858500*ln2*z2*z5 + 8345750*z3*z5)/448000, 
 H[0, -1, 1, 0, 1, 1, 0, 0, 1] -> (502950*s8a + 2604000*s8b - 168000*s6*z2 - 
    655200*li4half*z2^2 - 27300*ln2^4*z2^2 + 163800*ln2^2*z2^3 - 
    115688*z2^4 - 2205000*ln2*z2^2*z3 + 750750*z2*z3^2 + 252000*ln2*z2*z5 + 
    1194375*z3*z5)/336000, H[0, -1, 1, 0, 1, 1, 0, -1, 1] -> 
  (3225600*li4half^2 + 268800*li4half*ln2^4 + 5600*ln2^8 - 1612800*ln2^2*s6 + 
    6451200*ln2*s7a + 6451200*ln2*s7b - 3939075*s8a - 8568000*s8b - 
    9676800*s8c + 9676800*s8d - 1612800*li4half*ln2^2*z2 - 67200*ln2^6*z2 - 
    18345600*s6*z2 - 564480*li4half*z2^2 + 178080*ln2^4*z2^2 + 
    1512000*ln2^2*z2^3 - 6511896*z2^4 - 19353600*li5half*z3 + 
    5644800*li4half*ln2*z3 + 396480*ln2^5*z3 - 3024000*ln2^3*z2*z3 - 
    6625080*ln2*z2^2*z3 + 9424800*ln2^2*z3^2 + 4662000*z2*z3^2 + 
    9078300*ln2*z2*z5 + 32363100*z3*z5 + 64609650*ln2*z7)/806400, 
 H[0, -1, 1, 0, 1, 1, -1, 1, 1] -> (-5644800*li4half^2 - 903168000*li8half + 
    45158400*li6half*ln2^2 - 470400*li4half*ln2^4 + 30520*ln2^8 + 
    154089600*ln2^2*s6 - 377861925*s8a - 2377435200*s8b - 274310400*s8c - 
    216787200*s8d + 39513600*li6half*z2 + 11289600*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 - 470400*ln2^6*z2 + 699820800*s6*z2 - 
    40064640*li4half*z2^2 + 6609680*ln2^4*z2^2 - 32014080*ln2^2*z2^3 + 
    43986696*z2^4 + 421344000*li5half*z3 - 3511200*ln2^5*z3 + 
    37581600*ln2^3*z2*z3 + 315063000*ln2*z2^2*z3 + 23580900*ln2^2*z3^2 + 
    275925300*z2*z3^2 + 827517600*ln2*z2*z5 - 320489925*z3*z5)/3763200, 
 H[0, -1, 1, 0, 1, 1, -1, 0, 1] -> (-6720000*ln2^2*s6 + 13748175*s8a + 
    76440000*s8b + 13440000*s8c + 2688000*s8d + 32256000*li6half*z2 + 
    8064000*li5half*ln2*z2 - 22400*ln2^6*z2 - 2016000*s6*z2 - 
    134400*li4half*z2^2 - 5600*ln2^4*z2^2 - 705600*ln2^2*z2^3 - 930592*z2^4 - 
    6048000*li5half*z3 + 50400*ln2^5*z3 - 504000*ln2^3*z2*z3 - 
    16304400*ln2*z2^2*z3 - 1890000*ln2^2*z3^2 - 15298500*z2*z3^2 - 
    43438500*ln2*z2*z5 + 5580750*z3*z5)/1344000, 
 H[0, -1, 1, 0, 1, 1, -1, -1, 1] -> 
  (-11289600*li4half^2 + 903168000*li8half - 361267200*li7half*ln2 - 
    135475200*li6half*ln2^2 - 940800*li4half*ln2^4 - 113680*ln2^8 - 
    119548800*ln2^2*s6 - 63302400*ln2*s7a + 131443200*ln2*s7b + 
    414160425*s8a + 2396318400*s8b + 264096000*s8c + 260870400*s8d + 
    180633600*li6half*z2 - 67737600*li5half*ln2*z2 - 
    36691200*li4half*ln2^2*z2 - 23520*ln2^6*z2 - 712252800*s6*z2 + 
    50198400*li4half*z2^2 - 11644080*ln2^4*z2^2 - 7922880*ln2^2*z2^3 - 
    122108904*z2^4 - 448358400*li5half*z3 + 59270400*li4half*ln2*z3 + 
    6205920*ln2^5*z3 - 59589600*ln2^3*z2*z3 - 385441560*ln2*z2^2*z3 - 
    71284500*ln2^2*z3^2 - 342543600*z2*z3^2 - 188659800*ln2^3*z5 - 
    1111194000*ln2*z2*z5 + 570523275*z3*z5 + 1268423100*ln2*z7)/11289600, 
 H[0, -1, 1, 0, 1, 0, 1, 1, 1] -> (2016000*li4half^2 + 168000*li4half*ln2^4 + 
    3500*ln2^8 - 1008000*ln2^2*s6 + 369600*s8a - 126000*s8b + 2016000*s8c - 
    2016000*s8d + 6048000*li6half*z2 + 4032000*li5half*ln2*z2 - 
    25200*ln2^6*z2 + 5754000*s6*z2 - 1142400*li4half*z2^2 + 
    36400*ln2^4*z2^2 + 235200*ln2^2*z2^3 + 713826*z2^4 - 3024000*li5half*z3 + 
    25200*ln2^5*z3 - 252000*ln2^3*z2*z3 - 2608200*ln2*z2^2*z3 - 
    283500*ln2^2*z3^2 + 616875*z2*z3^2 - 6205500*ln2*z2*z5 - 5775000*z3*z5)/
   336000, H[0, -1, 1, 0, 1, 0, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 3956400*s8a - 5040000*s8b - 8064000*s8c + 
    8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    14112000*s6*z2 + 2923200*li4half*z2^2 - 382200*ln2^4*z2^2 - 
    529200*ln2^2*z2^3 - 4545819*z2^4 + 12096000*li5half*z3 - 
    100800*ln2^5*z3 + 1008000*ln2^3*z2*z3 + 9676800*ln2*z2^2*z3 + 
    1134000*ln2^2*z3^2 - 850500*z2*z3^2 + 21168000*ln2*z2*z5 + 5985000*z3*z5)/
   1008000, H[0, -1, 1, 0, 1, 0, 1, -1, 1] -> 
  (-17856000*ln2^2*s6 + 9792000*ln2*s7a - 960000*ln2*s7b + 23402400*s8a + 
    112896000*s8b + 16128000*s8c + 16128000*s8d - 32256000*li5half*ln2*z2 - 
    16128000*li4half*ln2^2*z2 - 403200*ln2^6*z2 - 43008000*s6*z2 - 
    537600*li4half*z2^2 + 1321600*ln2^4*z2^2 + 2733600*ln2^2*z2^3 - 
    1972416*z2^4 - 4032000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    1209600*ln2^5*z3 - 7392000*ln2^3*z2*z3 - 18258600*ln2*z2^2*z3 + 
    9972000*ln2^2*z3^2 - 23877000*z2*z3^2 + 10416000*ln2^3*z5 - 
    24721500*ln2*z2*z5 + 42950250*z3*z5 + 12187125*ln2*z7)/1344000, 
 H[0, -1, 1, 0, 1, 0, 0, 1, 1] -> (50925*s8a + 347200*s8b + 156800*s6*z2 + 
    13440*li4half*z2^2 + 560*ln2^4*z2^2 - 3360*ln2^2*z2^3 + 12946*z2^4 + 
    33600*ln2*z2^2*z3 - 273700*z2*z3^2 - 758100*ln2*z2*z5 + 570500*z3*z5)/
   44800, H[0, -1, 1, 0, 1, 0, 0, 0, 1] -> 
  (-397425*s8a - 336000*s6*z2 + 705600*li4half*z2^2 + 29400*ln2^4*z2^2 - 
    176400*ln2^2*z2^3 + 153907*z2^4 + 756000*ln2*z2^2*z3 + 189000*z2*z3^2 + 
    1008000*ln2*z2*z5 - 3402000*z3*z5)/168000, 
 H[0, -1, 1, 0, 1, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 48384000*ln2*s7a - 48384000*ln2*s7b + 20641950*s8a + 
    90720000*s8b + 40320000*s8c - 40320000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 66528000*s6*z2 + 37800000*li4half*z2^2 - 
    1953000*ln2^4*z2^2 - 18925200*ln2^2*z2^3 + 25965747*z2^4 + 
    80640000*li5half*z3 - 98784000*li4half*ln2*z3 - 4788000*ln2^5*z3 + 
    31416000*ln2^3*z2*z3 + 60813900*ln2*z2^2*z3 - 66150000*ln2^2*z3^2 - 
    10725750*z2*z3^2 + 17529750*ln2*z2*z5 - 178069500*z3*z5 - 
    455568750*ln2*z7)/7056000, H[0, -1, 1, 0, 1, 0, -1, 1, 1] -> 
  (49728000*ln2^2*s6 - 94843350*s8a - 339024000*s8b - 61824000*s8c - 
    51072000*s8d - 225792000*li6half*z2 - 313600*ln2^6*z2 + 64512000*s6*z2 - 
    10214400*li4half*z2^2 + 4278400*ln2^4*z2^2 + 4485600*ln2^2*z2^3 + 
    49084344*z2^4 + 102144000*li5half*z3 - 851200*ln2^5*z3 - 
    24416000*ln2^3*z2*z3 + 30496200*ln2*z2^2*z3 + 42798000*ln2^2*z3^2 + 
    110313000*z2*z3^2 + 105430500*ln2*z2*z5 - 225742125*z3*z5)/9408000, 
 H[0, -1, 1, 0, 1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    4032000*ln2^2*s6 - 5629050*s8a - 7056000*s8b - 8064000*s8c + 
    8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    14112000*s6*z2 + 302400*li4half*z2^2 + 516600*ln2^4*z2^2 + 
    126000*ln2^2*z2^3 - 3261663*z2^4 - 16128000*li5half*z3 + 
    134400*ln2^5*z3 - 1344000*ln2^3*z2*z3 + 5430600*ln2*z2^2*z3 + 
    1134000*ln2^2*z3^2 + 5701500*z2*z3^2 + 27216000*ln2*z2*z5 + 
    6418125*z3*z5)/1008000, H[0, -1, 1, 0, 1, 0, -1, -1, 1] -> 
  (56448000*ln2^2*s6 - 49728000*ln2*s7a + 25536000*ln2*s7b - 94191300*s8a - 
    340704000*s8b - 51072000*s8c - 61824000*s8d + 56448000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1881600*ln2^6*z2 + 180096000*s6*z2 + 
    806400*li4half*z2^2 - 9374400*ln2^4*z2^2 - 17035200*ln2^2*z2^3 + 
    32351472*z2^4 + 57792000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    4597600*ln2^5*z3 + 54208000*ln2^3*z2*z3 + 91992600*ln2*z2^2*z3 - 
    89082000*ln2^2*z3^2 + 86740500*z2*z3^2 - 72912000*ln2^3*z5 + 
    30429000*ln2*z2*z5 - 301363125*z3*z5 - 124393500*ln2*z7)/9408000, 
 H[0, -1, 1, 0, 1, -1, 1, 1, 1] -> (14817600*li4half^2 + 225792000*li8half + 
    3763200*li5half*ln2^3 + 1234800*li4half*ln2^4 - 35*ln2^8 - 
    31953600*ln2^2*s6 + 91046025*s8a + 574736400*s8b + 63907200*s8c + 
    55339200*s8d - 59270400*li6half*z2 - 7056000*li5half*ln2*z2 + 
    133280*ln2^6*z2 - 206463600*s6*z2 + 5634720*li4half*z2^2 - 
    2708160*ln2^4*z2^2 + 11143440*ln2^2*z2^3 - 6970644*z2^4 - 
    118087200*li5half*z3 + 984060*ln2^5*z3 - 7062300*ln2^3*z2*z3 - 
    77365260*ln2*z2^2*z3 - 8986950*ln2^2*z3^2 - 47698875*z2*z3^2 - 
    4670925*ln2^3*z5 - 166364100*ln2*z2*z5 + 72249975*z3*z5)/1411200, 
 H[0, -1, 1, 0, 1, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    44352000*ln2^2*s6 - 122238900*s8a - 654696000*s8b - 88704000*s8c - 
    80640000*s8d - 169344000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 171864000*s6*z2 - 
    6955200*li4half*z2^2 - 2641800*ln2^4*z2^2 - 15334200*ln2^2*z2^3 + 
    27926646*z2^4 + 281232000*li5half*z3 - 2343600*ln2^5*z3 + 
    23436000*ln2^3*z2*z3 + 122075100*ln2*z2^2*z3 + 12474000*ln2^2*z3^2 + 
    108864000*z2*z3^2 + 246322125*ln2*z2*z5 - 299139750*z3*z5)/7056000, 
 H[0, -1, 1, 0, 1, -1, 1, -1, 1] -> 
  (-3612672000*li8half - 361267200*li7half*ln2 - 30105600*li5half*ln2^3 + 
    232960*ln2^8 + 603993600*ln2^2*s6 - 23385600*ln2*s7a + 
    154425600*ln2*s7b - 1601838000*s8a - 9476812800*s8b - 1161216000*s8c - 
    825753600*s8d - 361267200*li6half*z2 - 180633600*li5half*ln2*z2 - 
    67737600*li4half*ln2^2*z2 - 3324160*ln2^6*z2 + 2475648000*s6*z2 - 
    180956160*li4half*z2^2 + 30280320*ln2^4*z2^2 - 109801440*ln2^2*z2^3 + 
    263190528*z2^4 + 1786982400*li5half*z3 + 118540800*li4half*ln2*z3 - 
    9952320*ln2^5*z3 + 89644800*ln2^3*z2*z3 + 1197085680*ln2*z2^2*z3 + 
    134064000*ln2^2*z3^2 + 1295506800*z2*z3^2 - 134887200*ln2^3*z5 + 
    3154737600*ln2*z2*z5 - 1645578900*z3*z5 + 1229200875*ln2*z7)/11289600, 
 H[0, -1, 1, 0, 1, -1, 0, 1, 1] -> (-48384000*ln2^2*s6 + 64955100*s8a - 
    3360000*s8b + 96768000*s8c - 96768000*s8d + 1128960000*li6half*z2 + 
    376320000*li5half*ln2*z2 - 1568000*ln2^6*z2 + 823872000*s6*z2 - 
    13708800*li4half*z2^2 + 7268800*ln2^4*z2^2 - 49224000*ln2^2*z2^3 - 
    99934944*z2^4 - 145152000*li5half*z3 + 1209600*ln2^5*z3 - 
    12096000*ln2^3*z2*z3 - 86322600*ln2*z2^2*z3 - 13608000*ln2^2*z3^2 - 
    376719000*z2*z3^2 - 837438000*ln2*z2*z5 + 405612375*z3*z5)/9408000, 
 H[0, -1, 1, 0, 1, -1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    36288000*ln2^2*s6 - 48716325*s8a + 2520000*s8b - 72576000*s8c + 
    72576000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    159264000*s6*z2 + 82958400*li4half*z2^2 - 71400*ln2^4*z2^2 - 
    35935200*ln2^2*z2^3 - 40322937*z2^4 + 108864000*li5half*z3 - 
    907200*ln2^5*z3 + 9072000*ln2^3*z2*z3 + 135853200*ln2*z2^2*z3 + 
    10206000*ln2^2*z3^2 + 66669750*z2*z3^2 + 263702250*ln2*z2*z5 - 
    246479625*z3*z5)/7056000, H[0, -1, 1, 0, 1, -1, 0, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    36288000*ln2^2*s6 - 56448000*ln2*s7a - 56448000*ln2*s7b + 19881225*s8a + 
    9576000*s8b + 40320000*s8c - 40320000*s8d + 169344000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 172368000*s6*z2 + 
    63907200*li4half*z2^2 + 3838800*ln2^4*z2^2 - 61425000*ln2^2*z2^3 - 
    8230464*z2^4 + 235872000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    4023600*ln2^5*z3 + 32004000*ln2^3*z2*z3 + 109349100*ln2*z2^2*z3 - 
    76230000*ln2^2*z3^2 - 64748250*z2*z3^2 + 142482375*ln2*z2*z5 - 
    235123875*z3*z5 - 449820000*ln2*z7)/7056000, 
 H[0, -1, 1, 0, 1, -1, -1, 1, 1] -> 
  (225792000*li4half^2 + 4515840000*li8half - 677376000*li6half*ln2^2 - 
    150528000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 817600*ln2^8 - 
    1254960000*ln2^2*s6 + 1985330025*s8a + 10861704000*s8b + 1691424000*s8c + 
    481824000*s8d + 2540160000*li6half*z2 + 1693440000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 9800000*ln2^6*z2 - 483840000*s6*z2 - 
    5241600*li4half*z2^2 + 59757600*ln2^4*z2^2 + 283802400*ln2^2*z2^3 - 
    329211936*z2^4 - 2685312000*li5half*z3 + 22377600*ln2^5*z3 - 
    371952000*ln2^3*z2*z3 - 1989678600*ln2*z2^2*z3 + 110092500*ln2^2*z3^2 - 
    2436556500*z2*z3^2 + 186837000*ln2^3*z5 - 7521822000*ln2*z2*z5 + 
    3035001375*z3*z5)/56448000, H[0, -1, 1, 0, 1, -1, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    133056000*ln2^2*s6 - 19318950*s8a + 1292256000*s8b - 266112000*s8c + 
    604800000*s8d - 56448000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 
    1881600*ln2^6*z2 - 1456560000*s6*z2 + 88502400*li4half*z2^2 + 
    6039600*ln2^4*z2^2 + 22528800*ln2^2*z2^3 - 194306892*z2^4 - 
    489888000*li5half*z3 + 4082400*ln2^5*z3 - 40824000*ln2^3*z2*z3 + 
    137478600*ln2*z2^2*z3 + 37422000*ln2^2*z3^2 + 239715000*z2*z3^2 + 
    1041547500*ln2*z2*z5 + 122007375*z3*z5)/28224000, 
 H[0, -1, 1, 0, 1, -1, -1, -1, 1] -> 
  (-112896000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 150528000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 756000*ln2^8 - 130032000*ln2^2*s6 + 
    153216000*ln2*s7a - 368928000*ln2*s7b + 981440775*s8a + 7276248000*s8b + 
    772128000*s8c + 441504000*s8d + 790272000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 5566400*ln2^6*z2 - 
    1137024000*s6*z2 + 158860800*li4half*z2^2 - 59472000*ln2^4*z2^2 - 
    241416000*ln2^2*z2^3 - 216325656*z2^4 - 614880000*li5half*z3 - 
    49392000*li4half*ln2*z3 + 3066000*ln2^5*z3 + 109284000*ln2^3*z2*z3 - 
    452982600*ln2*z2^2*z3 - 265009500*ln2^2*z3^2 - 808416000*z2*z3^2 + 
    318990000*ln2^3*z5 - 803565000*ln2*z2*z5 - 1045918125*z3*z5 - 
    4562940375*ln2*z7)/56448000, H[0, -1, 1, 0, 0, 1, 1, 1, 1] -> 
  (403200*ln2^2*s6 - 382725*s8a - 1075200*s8b - 806400*s8c + 806400*s8d - 
    1612800*li6half*z2 - 806400*li5half*ln2*z2 + 4480*ln2^6*z2 - 
    1982400*s6*z2 - 268800*li4half*z2^2 - 44800*ln2^4*z2^2 + 
    87360*ln2^2*z2^3 - 126116*z2^4 - 201600*li5half*z3 + 1680*ln2^5*z3 + 
    100800*ln2^3*z2*z3 + 922320*ln2*z2^2*z3 + 113400*ln2^2*z3^2 + 
    306600*z2*z3^2 + 2198700*ln2*z2*z5 + 1605450*z3*z5)/268800, 
 H[0, -1, 1, 0, 0, 1, 1, 0, 1] -> (-192000*ln2^2*s6 + 179775*s8a + 
    600000*s8b + 384000*s8c - 384000*s8d + 720000*s6*z2 + 
    115200*li4half*z2^2 + 4800*ln2^4*z2^2 - 38400*ln2^2*z2^3 + 160674*z2^4 + 
    96000*li5half*z3 - 800*ln2^5*z3 + 8000*ln2^3*z2*z3 - 454200*ln2*z2^2*z3 - 
    54000*ln2^2*z3^2 - 233250*z2*z3^2 - 1080000*ln2*z2*z5 - 231375*z3*z5)/
   96000, H[0, -1, 1, 0, 0, 1, 1, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    7344000*ln2^2*s6 - 288000*ln2*s7a - 12384000*ln2*s7b - 26159175*s8a - 
    134568000*s8b - 14112000*s8c - 22176000*s8d + 24192000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 - 33600*ln2^6*z2 + 63504000*s6*z2 + 
    5644800*li4half*z2^2 + 1747200*ln2^4*z2^2 - 9900000*ln2^2*z2^3 + 
    2239752*z2^4 + 23184000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    1663200*ln2^5*z3 + 10752000*ln2^3*z2*z3 + 26316000*ln2*z2^2*z3 + 
    1624500*ln2^2*z3^2 + 17608500*z2*z3^2 + 11718000*ln2^3*z5 + 
    35433000*ln2*z2*z5 - 45312750*z3*z5 - 22486500*ln2*z7)/4032000, 
 H[0, -1, 1, 0, 0, 1, 0, 1, 1] -> (-3100*s8a - 32000*s8b - 208000*s6*z2 - 
    38400*li4half*z2^2 - 1600*ln2^4*z2^2 + 9600*ln2^2*z2^3 + 174*z2^4 - 
    15000*ln2*z2^2*z3 + 206000*z2*z3^2 + 403500*ln2*z2*z5 - 422625*z3*z5)/
   32000, H[0, -1, 1, 0, 0, 1, 0, 0, 1] -> 
  (-80325*s8a - 1176000*s8b + 336000*s6*z2 - 537600*li4half*z2^2 - 
    22400*ln2^4*z2^2 + 134400*ln2^2*z2^3 + 52978*z2^4 + 189000*ln2*z2^2*z3 - 
    110250*z2*z3^2 - 1008000*ln2*z2*z5 + 1525125*z3*z5)/112000, 
 H[0, -1, 1, 0, 0, 1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    56448000*ln2^2*s6 - 16128000*ln2*s7a - 16128000*ln2*s7b + 62681850*s8a + 
    9072000*s8b + 145152000*s8c - 145152000*s8d - 56448000*li4half*ln2^2*z2 - 
    2352000*ln2^6*z2 + 297360000*s6*z2 - 129225600*li4half*z2^2 + 
    1671600*ln2^4*z2^2 + 25855200*ln2^2*z2^3 + 102384486*z2^4 + 
    290304000*li5half*z3 + 197568000*li4half*ln2*z3 + 5812800*ln2^5*z3 - 
    25200000*ln2^3*z2*z3 - 26812800*ln2*z2^2*z3 - 40572000*ln2^2*z3^2 - 
    93539250*z2*z3^2 - 401971500*ln2*z2*z5 - 324158625*z3*z5 - 
    310542750*ln2*z7)/14112000, H[0, -1, 1, 0, 0, 1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    52584000*ln2^2*s6 + 138081825*s8a + 682920000*s8b + 100464000*s8c + 
    82992000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 
    267120000*s6*z2 + 134400*li4half*z2^2 - 5286400*ln2^4*z2^2 + 
    33474000*ln2^2*z2^3 - 6690718*z2^4 - 165984000*li5half*z3 + 
    1383200*ln2^5*z3 - 13832000*ln2^3*z2*z3 - 110800200*ln2*z2^2*z3 - 
    16590000*ln2^2*z3^2 - 93649500*z2*z3^2 - 249574500*ln2*z2*z5 + 
    247653000*z3*z5)/4704000, H[0, -1, 1, 0, 0, 1, -1, 0, 1] -> 
  (-3225600*li4half^2 - 268800*li4half*ln2^4 - 5600*ln2^8 + 
    1612800*li4half*ln2^2*z2 + 67200*ln2^6*z2 + 1008000*s6*z2 + 
    1330560*li4half*z2^2 - 146160*ln2^4*z2^2 + 1028160*ln2^2*z2^3 - 
    140454*z2^4 - 1474200*ln2*z2^2*z3 - 664650*z2*z3^2 - 3231900*ln2*z2*z5 + 
    3501225*z3*z5)/403200, H[0, -1, 1, 0, 0, 1, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    55440000*ln2^2*s6 - 18144000*ln2*s7a + 3024000*ln2*s7b - 138633075*s8a - 
    806400000*s8b - 67536000*s8c - 144144000*s8d + 42336000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 402948000*s6*z2 - 
    48585600*li4half*z2^2 + 3267600*ln2^4*z2^2 - 25867800*ln2^2*z2^3 + 
    39421248*z2^4 + 238896000*li5half*z3 + 37044000*li4half*ln2*z3 - 
    447300*ln2^5*z3 + 10647000*ln2^3*z2*z3 + 110687850*ln2*z2^2*z3 - 
    9489375*ln2^2*z3^2 + 90011250*z2*z3^2 - 20506500*ln2^3*z5 + 
    130882500*ln2*z2*z5 - 374164875*z3*z5 - 53242875*ln2*z7)/7056000, 
 H[0, -1, 1, 0, 0, 0, 1, 1, 1] -> (-45300*s8a + 204000*s8b - 12000*s6*z2 - 
    19200*li4half*z2^2 - 800*ln2^4*z2^2 + 4800*ln2^2*z2^3 + 17452*z2^4 + 
    18000*ln2*z2^2*z3 - 106875*z2*z3^2 - 283500*ln2*z2*z5 + 241875*z3*z5)/
   48000, H[0, -1, 1, 0, 0, 0, 1, 0, 1] -> 
  (534450*s8a + 1176000*s8b - 336000*s6*z2 + 806400*li4half*z2^2 + 
    33600*ln2^4*z2^2 - 201600*ln2^2*z2^3 - 162553*z2^4 + 78750*z2*z3^2 + 
    1008000*ln2*z2*z5 - 1722000*z3*z5)/168000, 
 H[0, -1, 1, 0, 0, 0, 1, -1, 1] -> (53088000*ln2^2*s6 - 14784000*ln2*s7a + 
    22848000*ln2*s7b - 87183600*s8a - 425208000*s8b - 76608000*s8c - 
    36288000*s8d + 119616000*s6*z2 - 2788800*li4half*z2^2 - 
    116200*ln2^4*z2^2 - 23184000*ln2^2*z2^3 - 5746081*z2^4 + 
    72576000*li5half*z3 - 16464000*li4half*ln2*z3 - 1290800*ln2^5*z3 + 
    10164000*ln2^3*z2*z3 + 70284900*ln2*z2^2*z3 - 7707000*ln2^2*z3^2 + 
    80277750*z2*z3^2 - 36456000*ln2^3*z5 + 194496750*ln2*z2*z5 - 
    152670000*z3*z5 + 88137000*ln2*z7)/2352000, 
 H[0, -1, 1, 0, 0, 0, 0, 1, 1] -> 
  (-541275*s8a - 3528000*s8b + 1344000*s6*z2 - 537600*li4half*z2^2 - 
    22400*ln2^4*z2^2 + 134400*ln2^2*z2^3 - 13394*z2^4 - 173250*z2*z3^2 + 
    472500*ln2*z2*z5 + 1884750*z3*z5)/336000, 
 H[0, -1, 1, 0, 0, 0, 0, 0, 1] -> (14175*s8a + 168000*s8b - 19787*z2^4 - 
    47250*z3*z5)/28000, H[0, -1, 1, 0, 0, 0, 0, -1, 1] -> 
  (-538650*s8a - 5040000*s8b + 672000*s6*z2 - 470400*li4half*z2^2 - 
    19600*ln2^4*z2^2 + 117600*ln2^2*z2^3 - 529444*z2^4 - 157500*z2*z3^2 - 
    472500*ln2*z2*z5 + 3890250*z3*z5 + 7000875*ln2*z7)/336000, 
 H[0, -1, 1, 0, 0, 0, -1, 1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    31852800*ln2^2*s6 + 50688225*s8a + 260467200*s8b + 41126400*s8c + 
    26611200*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    81446400*s6*z2 + 7580160*li4half*z2^2 - 389760*ln2^4*z2^2 + 
    19283040*ln2^2*z2^3 + 637944*z2^4 - 53222400*li5half*z3 + 
    443520*ln2^5*z3 - 4435200*ln2^3*z2*z3 - 44543520*ln2*z2^2*z3 - 
    3402000*ln2^2*z3^2 - 47646900*z2*z3^2 - 146002500*ln2*z2*z5 + 
    109512900*z3*z5)/2822400, H[0, -1, 1, 0, 0, 0, -1, 0, 1] -> 
  (7425*s8a + 62400*s8b - 28800*s6*z2 + 20160*li4half*z2^2 + 840*ln2^4*z2^2 - 
    5040*ln2^2*z2^3 - 2662*z2^4 + 5850*z2*z3^2 + 27000*ln2*z2*z5 - 
    55350*z3*z5)/4800, H[0, -1, 1, 0, 0, 0, -1, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    14688000*ln2^2*s6 + 12672000*ln2*s7a - 19584000*ln2*s7b + 34427925*s8a + 
    180432000*s8b + 20160000*s8c + 28224000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 - 84672000*s6*z2 + 11692800*li4half*z2^2 - 
    16800*ln2^4*z2^2 + 2822400*ln2^2*z2^3 - 8651712*z2^4 - 
    56448000*li5half*z3 - 14112000*li4half*ln2*z3 - 117600*ln2^5*z3 - 
    1176000*ln2^3*z2*z3 - 22014000*ln2*z2^2*z3 + 11304000*ln2^2*z3^2 - 
    24129000*z2*z3^2 + 31248000*ln2^3*z5 + 796500*ln2*z2*z5 + 
    95649750*z3*z5 - 65544750*ln2*z7)/2016000, 
 H[0, -1, 1, 0, 0, -1, 1, 1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    28728000*ln2^2*s6 - 86254350*s8a - 410340000*s8b - 57456000*s8c - 
    50736000*s8d + 42336000*li6half*z2 + 58800*ln2^6*z2 + 193788000*s6*z2 + 
    5376000*li4half*z2^2 + 1988000*ln2^4*z2^2 - 21554400*ln2^2*z2^3 + 
    935534*z2^4 + 101472000*li5half*z3 - 845600*ln2^5*z3 + 
    8456000*ln2^3*z2*z3 + 67191600*ln2*z2^2*z3 + 8079750*ln2^2*z3^2 + 
    33757500*z2*z3^2 + 7595000*ln2^3*z5 + 102175500*ln2*z2*z5 - 
    115072125*z3*z5)/4704000, H[0, -1, 1, 0, 0, -1, 1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 3320100*s8a + 
    2016000*s8b - 8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 - 
    6048000*s6*z2 - 2620800*li4half*z2^2 + 898800*ln2^4*z2^2 - 
    6148800*ln2^2*z2^3 - 1364814*z2^4 + 7371000*ln2*z2^2*z3 + 
    2268000*z2*z3^2 + 22900500*ln2*z2*z5 - 15742125*z3*z5)/2016000, 
 H[0, -1, 1, 0, 0, -1, 1, -1, 1] -> (-3696000*ln2^2*s6 - 2755200*ln2*s7a + 
    67200*ln2*s7b + 21732900*s8a + 120288000*s8b + 12902400*s8c + 
    17203200*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    51811200*s6*z2 + 4757760*li4half*z2^2 - 1212960*ln2^4*z2^2 + 
    4386480*ln2^2*z2^3 - 3142672*z2^4 - 34406400*li5half*z3 - 
    9878400*li4half*ln2*z3 - 124880*ln2^5*z3 - 397600*ln2^3*z2*z3 - 
    15042300*ln2*z2^2*z3 - 5258400*ln2^2*z3^2 - 14674800*z2*z3^2 - 
    4253200*ln2^3*z5 - 32451300*ln2*z2*z5 + 48713700*z3*z5 - 8376375*ln2*z7)/
   940800, H[0, -1, 1, 0, 0, -1, 0, 1, 1] -> 
  (32900*s8a - 291200*s8b - 336000*s6*z2 - 13440*li4half*z2^2 - 
    560*ln2^4*z2^2 + 3360*ln2^2*z2^3 - 70066*z2^4 - 37800*ln2*z2^2*z3 + 
    333900*z2*z3^2 + 1040900*ln2*z2*z5 - 491225*z3*z5)/44800, 
 H[0, -1, 1, 0, 0, -1, 0, 0, 1] -> (-80325*s8a - 504000*s8b + 336000*s6*z2 - 
    470400*li4half*z2^2 - 19600*ln2^4*z2^2 + 117600*ln2^2*z2^3 + 14048*z2^4 - 
    189000*ln2*z2^2*z3 - 141750*z2*z3^2 - 945000*ln2*z2*z5 + 1850625*z3*z5)/
   112000, H[0, -1, 1, 0, 0, -1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    56448000*ln2^2*s6 + 16128000*ln2*s7a + 16128000*ln2*s7b + 34779150*s8a - 
    178416000*s8b + 80640000*s8c - 80640000*s8d - 56448000*li4half*ln2^2*z2 - 
    2352000*ln2^6*z2 + 161280000*s6*z2 - 107856000*li4half*z2^2 + 
    2562000*ln2^4*z2^2 + 27770400*ln2^2*z2^3 + 27512694*z2^4 + 
    161280000*li5half*z3 + 197568000*li4half*ln2*z3 + 6888000*ln2^5*z3 - 
    35952000*ln2^3*z2*z3 - 55036800*ln2*z2^2*z3 + 8820000*ln2^2*z3^2 - 
    56070000*z2*z3^2 - 248062500*ln2*z2*z5 - 21475125*z3*z5 + 
    282539250*ln2*z7)/14112000, H[0, -1, 1, 0, 0, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    69048000*ln2^2*s6 - 163329075*s8a - 954576000*s8b - 123984000*s8c - 
    101808000*s8d + 42336000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 + 293580000*s6*z2 - 7660800*li4half*z2^2 + 
    2326800*ln2^4*z2^2 - 42336000*ln2^2*z2^3 - 14925282*z2^4 + 
    203616000*li5half*z3 - 1696800*ln2^5*z3 + 41664000*ln2^3*z2*z3 + 
    146638800*ln2*z2^2*z3 - 11450250*ln2^2*z3^2 + 171706500*z2*z3^2 - 
    22785000*ln2^3*z5 + 524097000*ln2*z2*z5 - 380118375*z3*z5)/14112000, 
 H[0, -1, 1, 0, 0, -1, -1, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    2016000*ln2^2*s6 + 2168775*s8a + 5040000*s8b + 4032000*s8c - 
    4032000*s8d + 2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 9072000*s6*z2 + 
    100800*li4half*z2^2 - 247800*ln2^4*z2^2 - 126000*ln2^2*z2^3 + 
    2233089*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 + 672000*ln2^3*z2*z3 - 
    2431800*ln2*z2^2*z3 - 567000*ln2^2*z3^2 - 5276250*z2*z3^2 - 
    19152000*ln2*z2*z5 - 874125*z3*z5)/1008000, 
 H[0, -1, 1, 0, 0, -1, -1, -1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 
    20448000*ln2^2*s6 + 6336000*ln2*s7a - 5760000*ln2*s7b + 27449100*s8a + 
    74088000*s8b + 24192000*s8c + 4032000*s8d - 12096000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 487200*ln2^6*z2 - 20160000*s6*z2 - 
    5241600*li4half*z2^2 + 2049600*ln2^4*z2^2 + 5342400*ln2^2*z2^3 - 
    2774544*z2^4 + 6048000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    1125600*ln2^5*z3 - 11844000*ln2^3*z2*z3 - 21553200*ln2*z2^2*z3 + 
    12771000*ln2^2*z3^2 - 28948500*z2*z3^2 + 18228000*ln2^3*z5 - 
    49041000*ln2*z2*z5 + 58605750*z3*z5 + 37299375*ln2*z7)/4032000, 
 H[0, -1, 1, 0, -1, 1, 1, 1, 1] -> (-34496000*li4half^2 - 250880000*li8half - 
    784000*li4half*ln2^4 + 21000*ln2^8 + 37072000*ln2^2*s6 - 92706075*s8a - 
    474152000*s8b - 74144000*s8c - 19936000*s8d + 194432000*li6half*z2 + 
    9408000*li5half*ln2*z2 - 156800*ln2^6*z2 + 199024000*s6*z2 + 
    9497600*li4half*z2^2 + 3231200*ln2^4*z2^2 - 22808800*ln2^2*z2^3 - 
    14041192*z2^4 + 111216000*li5half*z3 - 926800*ln2^5*z3 + 
    9268000*ln2^3*z2*z3 + 84079800*ln2*z2^2*z3 + 10426500*ln2^2*z3^2 + 
    22116500*z2*z3^2 + 154371000*ln2*z2*z5 - 64224125*z3*z5)/6272000, 
 H[0, -1, 1, 0, -1, 1, 1, 0, 1] -> (-59136000*ln2^2*s6 + 113516025*s8a + 
    396648000*s8b + 118272000*s8c - 5376000*s8d + 112896000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 18816000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 
    8400000*s6*z2 - 10012800*li4half*z2^2 - 2769200*ln2^4*z2^2 + 
    28089600*ln2^2*z2^3 + 4501664*z2^4 - 196224000*li5half*z3 - 
    9408000*li4half*ln2*z3 + 1243200*ln2^5*z3 - 14000000*ln2^3*z2*z3 - 
    134836800*ln2*z2^2*z3 - 16632000*ln2^2*z3^2 - 124461750*z2*z3^2 - 
    376645500*ln2*z2*z5 + 295328250*z3*z5)/9408000, 
 H[0, -1, 1, 0, -1, 1, 1, -1, 1] -> 
  (22579200*li4half^2 - 1354752000*li8half - 361267200*li7half*ln2 - 
    1881600*li4half*ln2^4 - 79520*ln2^8 + 194544000*ln2^2*s6 - 
    48787200*ln2*s7a + 38707200*ln2*s7b - 458808525*s8a - 2990030400*s8b - 
    291513600*s8c - 301190400*s8d + 135475200*li6half*z2 + 
    237081600*li5half*ln2*z2 + 45158400*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 
    972115200*s6*z2 - 69269760*li4half*z2^2 + 1347360*ln2^4*z2^2 - 
    16763040*ln2^2*z2^3 + 85514832*z2^4 + 437270400*li5half*z3 - 
    39513600*li4half*ln2*z3 - 5290320*ln2^5*z3 + 46317600*ln2^3*z2*z3 + 
    326176200*ln2*z2^2*z3 - 19989900*ln2^2*z3^2 + 307408500*z2*z3^2 - 
    84760200*ln2^3*z5 + 508321800*ln2*z2*z5 - 286821675*z3*z5 + 
    578714850*ln2*z7)/11289600, H[0, -1, 1, 0, -1, 1, 0, 1, 1] -> 
  (4515840*li4half^2 + 376320*li4half*ln2^4 + 7840*ln2^8 + 3548160*ln2^2*s6 - 
    1948275*s8a - 1995840*s8b - 7096320*s8c + 7096320*s8d - 
    108380160*li6half*z2 - 27095040*li5half*ln2*z2 + 
    2257920*li4half*ln2^2*z2 + 169344*ln2^6*z2 - 75156480*s6*z2 - 
    1854720*li4half*z2^2 - 924000*ln2^4*z2^2 + 6668928*ln2^2*z2^3 + 
    9123012*z2^4 + 15160320*li5half*z3 + 2257920*li4half*ln2*z3 - 
    32256*ln2^5*z3 + 698880*ln2^3*z2*z3 + 7698600*ln2*z2^2*z3 + 
    997920*ln2^2*z3^2 + 31156020*z2*z3^2 + 66641400*ln2*z2*z5 - 
    25512165*z3*z5)/1128960, H[0, -1, 1, 0, -1, 1, 0, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    72576000*ln2^2*s6 + 62681850*s8a + 9072000*s8b + 145152000*s8c - 
    145152000*s8d - 56448000*li4half*ln2^2*z2 - 2352000*ln2^6*z2 + 
    318528000*s6*z2 - 92534400*li4half*z2^2 + 3200400*ln2^4*z2^2 + 
    53524800*ln2^2*z2^3 + 80730966*z2^4 - 48384000*li5half*z3 + 
    84672000*li4half*ln2*z3 + 3931200*ln2^5*z3 - 25200000*ln2^3*z2*z3 - 
    176185800*ln2*z2^2*z3 - 20412000*ln2^2*z3^2 - 106218000*z2*z3^2 - 
    548572500*ln2*z2*z5 + 145175625*z3*z5)/14112000, 
 H[0, -1, 1, 0, -1, 1, 0, -1, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 - 
    72576000*ln2^2*s6 + 62681850*s8a + 9072000*s8b + 145152000*s8c - 
    145152000*s8d - 169344000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 198576000*s6*z2 - 
    167328000*li4half*z2^2 - 10500000*ln2^4*z2^2 + 107326800*ln2^2*z2^3 + 
    116206056*z2^4 - 76608000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    3578400*ln2^5*z3 - 24024000*ln2^3*z2*z3 - 130586400*ln2*z2^2*z3 - 
    20412000*ln2^2*z3^2 - 57211875*z2*z3^2 - 797296500*ln2*z2*z5 + 
    52786125*z3*z5)/14112000, H[0, -1, 1, 0, -1, 1, -1, 1, 1] -> 
  (-338688000*li4half^2 + 15805440000*li8half - 677376000*li6half*ln2^2 - 
    47040000*li4half*ln2^4 - 1920800*ln2^8 - 2601648000*ln2^2*s6 + 
    6876640575*s8a + 41780088000*s8b + 4469472000*s8c + 4421088000*s8d - 
    1580544000*li6half*z2 - 1354752000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 + 14582400*ln2^6*z2 - 14275296000*s6*z2 + 
    1070496000*li4half*z2^2 - 142144800*ln2^4*z2^2 + 467258400*ln2^2*z2^3 - 
    1218591648*z2^4 - 7374528000*li5half*z3 - 112896000*li4half*ln2*z3 + 
    56750400*ln2^5*z3 - 438144000*ln2^3*z2*z3 - 5075418600*ln2*z2^2*z3 - 
    588168000*ln2^2*z3^2 - 4574997000*z2*z3^2 - 11180484000*ln2*z2*z5 + 
    6862755375*z3*z5)/56448000, H[0, -1, 1, 0, -1, 1, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    24192000*ln2^2*s6 - 145429200*s8a - 1252944000*s8b + 48384000*s8c - 
    387072000*s8d - 508032000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 2822400*ln2^6*z2 + 703584000*s6*z2 - 
    135273600*li4half*z2^2 + 4947600*ln2^4*z2^2 - 5972400*ln2^2*z2^3 + 
    195683388*z2^4 + 449568000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    957600*ln2^5*z3 + 9240000*ln2^3*z2*z3 + 37056600*ln2*z2^2*z3 - 
    6804000*ln2^2*z3^2 + 112273875*z2*z3^2 - 81648000*ln2*z2*z5 - 
    546462000*z3*z5)/14112000, H[0, -1, 1, 0, -1, 1, -1, -1, 1] -> 
  (150528000*li4half^2 - 2257920000*li8half + 602112000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 18816000*li4half*ln2^4 + 660800*ln2^8 + 
    328944000*ln2^2*s6 + 93408000*ln2*s7a - 231168000*ln2*s7b - 
    1012292925*s8a - 6505800000*s8b - 600096000*s8c - 782880000*s8d - 
    564480000*li6half*z2 + 141120000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 2979200*ln2^6*z2 + 1970304000*s6*z2 - 
    251596800*li4half*z2^2 + 32088000*ln2^4*z2^2 + 19303200*ln2^2*z2^3 + 
    311755392*z2^4 + 1443456000*li5half*z3 + 87024000*li4half*ln2*z3 - 
    8402800*ln2^5*z3 + 61488000*ln2^3*z2*z3 + 897720600*ln2*z2^2*z3 + 
    187698000*ln2^2*z3^2 + 813088500*z2*z3^2 + 314433000*ln2^3*z5 + 
    2271633000*ln2*z2*z5 - 1369417875*z3*z5 - 1636356750*ln2*z7)/18816000, 
 H[0, -1, 1, 0, -1, 0, 1, 1, 1] -> 
  (5760000*li4half^2 + 480000*li4half*ln2^4 + 10000*ln2^8 - 
    2880000*ln2^2*s6 + 2713275*s8a + 1944000*s8b + 5760000*s8c - 
    5760000*s8d + 10368000*li6half*z2 + 6912000*li5half*ln2*z2 - 
    1152000*li4half*ln2^2*z2 - 91200*ln2^6*z2 + 15408000*s6*z2 - 
    2995200*li4half*z2^2 + 163200*ln2^4*z2^2 + 604800*ln2^2*z2^3 + 
    1617084*z2^4 - 9792000*li5half*z3 - 576000*li4half*ln2*z3 + 
    57600*ln2^5*z3 - 672000*ln2^3*z2*z3 - 6751800*ln2*z2^2*z3 - 
    810000*ln2^2*z3^2 - 4833000*z2*z3^2 - 22032000*ln2*z2*z5 + 7135875*z3*z5)/
   576000, H[0, -1, 1, 0, -1, 0, 1, 0, 1] -> 
  (-322560*li4half^2 - 26880*li4half*ln2^4 - 560*ln2^8 + 161280*ln2^2*s6 - 
    120750*s8a - 13440*s8b - 322560*s8c + 322560*s8d + 
    161280*li4half*ln2^2*z2 + 6720*ln2^6*z2 - 645120*s6*z2 + 
    219072*li4half*z2^2 - 11032*ln2^4*z2^2 - 46704*ln2^2*z2^3 - 186453*z2^4 + 
    161280*li5half*z3 - 161280*li4half*ln2*z3 - 8064*ln2^5*z3 + 
    53760*ln2^3*z2*z3 + 288288*ln2*z2^2*z3 + 45360*ln2^2*z3^2 + 
    200340*z2*z3^2 + 1008000*ln2*z2*z5 - 95970*z3*z5)/13440, 
 H[0, -1, 1, 0, -1, 0, 1, -1, 1] -> 
  (-32256000*li4half^2 - 2688000*li4half*ln2^4 - 56000*ln2^8 + 
    26784000*ln2^2*s6 + 9504000*ln2*s7a + 25632000*ln2*s7b - 53953200*s8a - 
    185472000*s8b - 72576000*s8c + 24192000*s8d - 96768000*li5half*ln2*z2 - 
    32256000*li4half*ln2^2*z2 - 537600*ln2^6*z2 - 24192000*s6*z2 + 
    21772800*li4half*z2^2 + 2923200*ln2^4*z2^2 - 24537600*ln2^2*z2^3 - 
    24570432*z2^4 + 26208000*li5half*z3 + 16128000*li4half*ln2*z3 + 
    453600*ln2^5*z3 - 1848000*ln2^3*z2*z3 + 33807600*ln2*z2^2*z3 + 
    22086000*ln2^2*z3^2 + 57172500*z2*z3^2 - 15624000*ln2^3*z5 + 
    256180500*ln2*z2*z5 - 47494125*z3*z5 + 133994250*ln2*z7)/2016000, 
 H[0, -1, 1, 0, -1, 0, 0, 1, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    8064000*ln2^2*s6 + 2501100*s8a - 5040000*s8b + 16128000*s8c - 
    16128000*s8d - 8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 + 
    47376000*s6*z2 - 12297600*li4half*z2^2 + 495600*ln2^4*z2^2 + 
    2671200*ln2^2*z2^3 + 11826846*z2^4 + 12096000*li4half*ln2*z3 + 
    504000*ln2^5*z3 - 3024000*ln2^3*z2*z3 - 10999800*ln2*z2^2*z3 - 
    2268000*ln2^2*z3^2 - 19782000*z2*z3^2 - 78718500*ln2*z2*z5 + 
    12985875*z3*z5)/2016000, H[0, -1, 1, 0, -1, 0, 0, 0, 1] -> 
  (85050*s8a + 1008000*s8b - 336000*s6*z2 + 1176000*li4half*z2^2 + 
    49000*ln2^4*z2^2 - 294000*ln2^2*z2^3 - 323482*z2^4 + 567000*ln2*z2^2*z3 + 
    173250*z2*z3^2 + 945000*ln2*z2*z5 - 1708875*z3*z5)/168000, 
 H[0, -1, 1, 0, -1, 0, 0, -1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    11289600*ln2^2*s6 - 25804800*ln2*s7a - 25804800*ln2*s7b + 10035900*s8a - 
    10886400*s8b + 29030400*s8c - 29030400*s8d + 11289600*li4half*ln2^2*z2 + 
    470400*ln2^6*z2 + 58060800*s6*z2 + 15361920*li4half*z2^2 - 
    771120*ln2^4*z2^2 - 9082080*ln2^2*z2^3 + 9314406*z2^4 + 
    24192000*li5half*z3 - 56448000*li4half*ln2*z3 - 2553600*ln2^5*z3 + 
    16128000*ln2^3*z2*z3 + 23567040*ln2*z2^2*z3 - 36338400*ln2^2*z3^2 - 
    17274600*z2*z3^2 - 18036900*ln2*z2*z5 - 24943275*z3*z5 - 
    144024300*ln2*z7)/2822400, H[0, -1, 1, 0, -1, 0, -1, 1, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 - 
    187488000*ln2^2*s6 + 210300300*s8a + 737856000*s8b + 318528000*s8c - 
    149184000*s8d - 338688000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 100800000*s6*z2 - 
    170956800*li4half*z2^2 - 67200*ln2^4*z2^2 + 178668000*ln2^2*z2^3 + 
    191774088*z2^4 - 68544000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    5275200*ln2^5*z3 - 83328000*ln2^3*z2*z3 - 264789000*ln2*z2^2*z3 - 
    9513000*ln2^2*z3^2 - 230296500*z2*z3^2 - 1522489500*ln2*z2*z5 + 
    206065125*z3*z5)/14112000, H[0, -1, 1, 0, -1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    12096000*ln2^2*s6 - 10703700*s8a + 5040000*s8b - 24192000*s8c + 
    24192000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    52416000*s6*z2 + 14616000*li4half*z2^2 + 105000*ln2^4*z2^2 - 
    3049200*ln2^2*z2^3 - 13587867*z2^4 - 24192000*li5half*z3 - 
    16128000*li4half*ln2*z3 - 470400*ln2^5*z3 + 2016000*ln2^3*z2*z3 + 
    15850800*ln2*z2^2*z3 + 3402000*ln2^2*z3^2 + 19026000*z2*z3^2 + 
    81270000*ln2*z2*z5 + 9828000*z3*z5)/1008000, 
 H[0, -1, 1, 0, -1, 0, -1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    37632000*ln2^2*s6 - 25536000*ln2*s7a - 100800000*ln2*s7b + 64765575*s8a + 
    504168000*s8b + 13440000*s8c + 99456000*s8d + 56448000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 4233600*ln2^6*z2 - 274176000*s6*z2 + 
    123379200*li4half*z2^2 - 11323200*ln2^4*z2^2 - 26241600*ln2^2*z2^3 - 
    40949628*z2^4 - 283584000*li5half*z3 - 305760000*li4half*ln2*z3 - 
    10376800*ln2^5*z3 + 77504000*ln2^3*z2*z3 + 34339200*ln2*z2^2*z3 - 
    57330000*ln2^2*z3^2 - 16989000*z2*z3^2 + 72912000*ln2^3*z5 + 
    242035500*ln2*z2*z5 + 264245625*z3*z5 - 629385750*ln2*z7)/9408000, 
 H[0, -1, 1, 0, -1, -1, 1, 1, 1] -> (48384000*li4half^2 - 967680000*li8half - 
    21504000*li5half*ln2^3 + 1344000*li4half*ln2^4 + 127200*ln2^8 + 
    115920000*ln2^2*s6 - 377135325*s8a - 2268504000*s8b - 231840000*s8c - 
    243936000*s8d + 124992000*li6half*z2 + 52416000*li5half*ln2*z2 - 
    711200*ln2^6*z2 + 789264000*s6*z2 - 69753600*li4half*z2^2 + 
    5980800*ln2^4*z2^2 - 23104800*ln2^2*z2^3 + 76861008*z2^4 + 
    363888000*li5half*z3 + 8064000*li4half*ln2*z3 - 2696400*ln2^5*z3 + 
    28308000*ln2^3*z2*z3 + 260278200*ln2*z2^2*z3 + 32602500*ln2^2*z3^2 + 
    242550000*z2*z3^2 + 30597000*ln2^3*z5 + 585774000*ln2*z2*z5 - 
    339026625*z3*z5)/8064000, H[0, -1, 1, 0, -1, -1, 1, 0, 1] -> 
  (-5760000*li4half^2 - 480000*li4half*ln2^4 - 10000*ln2^8 + 
    1152000*ln2^2*s6 + 1354725*s8a + 11808000*s8b - 2304000*s8c + 
    5760000*s8d + 3456000*li6half*z2 - 576000*li5half*ln2*z2 + 
    2304000*li4half*ln2^2*z2 + 105600*ln2^6*z2 - 11736000*s6*z2 + 
    3729600*li4half*z2^2 - 180600*ln2^4*z2^2 - 475200*ln2^2*z2^3 - 
    3337554*z2^4 - 4032000*li5half*z3 - 3744000*li4half*ln2*z3 - 
    122400*ln2^5*z3 + 600000*ln2^3*z2*z3 + 957600*ln2*z2^2*z3 + 
    324000*ln2^2*z3^2 - 28125*z2*z3^2 + 9812250*ln2*z2*z5 + 8089875*z3*z5)/
   288000, H[0, -1, 1, 0, -1, -1, 1, -1, 1] -> 
  (-677376000*li4half^2 + 15805440000*li8half + 1806336000*li7half*ln2 + 
    150528000*li5half*ln2^3 - 37632000*li4half*ln2^4 - 1612800*ln2^8 - 
    2680272000*ln2^2*s6 + 661248000*ln2*s7a - 227808000*ln2*s7b + 
    6523632675*s8a + 40802328000*s8b + 4038048000*s8c + 4457376000*s8d + 
    1016064000*li6half*z2 - 790272000*li5half*ln2*z2 - 
    254016000*li4half*ln2^2*z2 + 1803200*ln2^6*z2 - 12668544000*s6*z2 + 
    1295078400*li4half*z2^2 - 33768000*ln2^4*z2^2 + 349272000*ln2^2*z2^3 - 
    1601156952*z2^4 - 8427888000*li5half*z3 - 204624000*li4half*ln2*z3 + 
    61706400*ln2^5*z3 - 651168000*ln2^3*z2*z3 - 5273188200*ln2*z2^2*z3 + 
    258709500*ln2^2*z3^2 - 4919103000*z2*z3^2 + 647094000*ln2^3*z5 - 
    10181934000*ln2*z2*z5 + 7981729875*z3*z5 - 2858585625*ln2*z7)/56448000, 
 H[0, -1, 1, 0, -1, -1, 0, 1, 1] -> 
  (19740*s8a - 174720*s8b - 645120*li6half*z2 - 430080*li5half*ln2*z2 - 
    107520*li4half*ln2^2*z2 - 1792*ln2^6*z2 - 349440*s6*z2 - 
    8064*li4half*z2^2 + 4144*ln2^4*z2^2 + 2016*ln2^2*z2^3 + 44220*z2^4 + 
    268800*li5half*z3 + 134400*li4half*ln2*z3 + 3360*ln2^5*z3 - 
    11200*ln2^3*z2*z3 + 57120*ln2*z2^2*z3 + 133665*z2*z3^2 + 
    645330*ln2*z2*z5 - 156135*z3*z5)/26880, 
 H[0, -1, 1, 0, -1, -1, 0, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    8064000*ln2^2*s6 + 4302900*s8a + 7056000*s8b + 16128000*s8c - 
    16128000*s8d - 8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 + 
    33264000*s6*z2 - 6854400*li4half*z2^2 + 722400*ln2^4*z2^2 + 
    1310400*ln2^2*z2^3 + 9227094*z2^4 + 8064000*li5half*z3 + 
    16128000*li4half*ln2*z3 + 604800*ln2^5*z3 - 3360000*ln2^3*z2*z3 - 
    11554200*ln2*z2^2*z3 - 2268000*ln2^2*z3^2 - 10442250*z2*z3^2 - 
    52731000*ln2*z2*z5 - 15033375*z3*z5)/2016000, 
 H[0, -1, 1, 0, -1, -1, 0, -1, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    8064000*ln2^2*s6 - 16128000*ln2*s7a - 16128000*ln2*s7b + 16504425*s8a - 
    47880000*s8b + 48384000*s8c - 48384000*s8d - 48384000*li6half*z2 - 
    32256000*li5half*ln2*z2 - 16128000*li4half*ln2^2*z2 - 470400*ln2^6*z2 + 
    70560000*s6*z2 - 22176000*li4half*z2^2 + 420000*ln2^4*z2^2 + 
    1512000*ln2^2*z2^3 + 26289108*z2^4 + 112896000*li5half*z3 + 
    36288000*li4half*ln2*z3 + 571200*ln2^5*z3 + 336000*ln2^3*z2*z3 + 
    11692800*ln2*z2^2*z3 - 26964000*ln2^2*z3^2 - 19356750*z2*z3^2 - 
    68607000*ln2*z2*z5 - 92121750*z3*z5 - 47509875*ln2*z7)/4032000, 
 H[0, -1, 1, 0, -1, -1, -1, 1, 1] -> 
  (79027200*li4half^2 - 1354752000*li8half + 135475200*li6half*ln2^2 + 
    30105600*li5half*ln2^3 + 10348800*li4half*ln2^4 + 197680*ln2^8 + 
    202204800*ln2^2*s6 - 451642275*s8a - 2954750400*s8b - 285868800*s8c - 
    301190400*s8d - 276595200*li6half*z2 - 33868800*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1003520*ln2^6*z2 + 764668800*s6*z2 - 
    111605760*li4half*z2^2 + 3981600*ln2^4*z2^2 + 11723040*ln2^2*z2^3 + 
    146052288*z2^4 + 616492800*li5half*z3 + 79027200*li4half*ln2*z3 - 
    1844640*ln2^5*z3 + 21739200*ln2^3*z2*z3 + 355015080*ln2*z2^2*z3 + 
    24456600*ln2^2*z3^2 + 372323700*z2*z3^2 - 42835800*ln2^3*z5 + 
    879568200*ln2*z2*z5 - 449418375*z3*z5)/11289600, 
 H[0, -1, 1, 0, -1, -1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    12096000*ln2^2*s6 - 14123025*s8a + 23688000*s8b - 24192000*s8c + 
    24192000*s8d + 48384000*li6half*z2 + 32256000*li5half*ln2*z2 + 
    12096000*li4half*ln2^2*z2 + 302400*ln2^6*z2 - 32256000*s6*z2 + 
    14918400*li4half*z2^2 - 218400*ln2^4*z2^2 - 3124800*ln2^2*z2^3 - 
    16541904*z2^4 - 56448000*li5half*z3 - 32256000*li4half*ln2*z3 - 
    873600*ln2^5*z3 + 3360000*ln2^3*z2*z3 + 8996400*ln2*z2^2*z3 + 
    3402000*ln2^2*z3^2 + 12017250*z2*z3^2 + 37831500*ln2*z2*z5 + 
    26680500*z3*z5)/4032000, H[0, -1, 1, 0, -1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 2257920000*li8half - 1806336000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    25872000*li4half*ln2^4 - 315000*ln2^8 + 134064000*ln2^2*s6 - 
    350784000*ln2*s7a + 171360000*ln2*s7b - 369695025*s8a - 3004344000*s8b - 
    159264000*s8c - 292320000*s8d + 84672000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 4900000*ln2^6*z2 + 739872000*s6*z2 + 
    29030400*li4half*z2^2 - 18194400*ln2^4*z2^2 - 63604800*ln2^2*z2^3 + 
    128638656*z2^4 + 485856000*li5half*z3 - 296352000*li4half*ln2*z3 - 
    16396800*ln2^5*z3 + 151620000*ln2^3*z2*z3 + 354123000*ln2*z2^2*z3 - 
    337365000*ln2^2*z3^2 + 273798000*z2*z3^2 - 291648000*ln2^3*z5 - 
    126567000*ln2*z2*z5 + 35965125*z3*z5 + 2820549375*ln2*z7)/56448000, 
 H[0, -1, 1, -1, 1, 1, 1, 1, 1] -> (-35280000*li8half - 875*ln2^8 - 
    672000*ln2^2*s6 + 8925*s8a - 4620000*s8b + 1344000*s8c - 1344000*s8d + 
    5292000*li6half*z2 - 1764000*li5half*ln2*z2 + 7350*ln2^6*z2 + 
    5334000*s6*z2 - 268800*li4half*z2^2 - 11200*ln2^4*z2^2 + 
    959700*ln2^2*z2^3 + 2689188*z2^4 + 8127000*li5half*z3 - 42000*ln2^5*z3 - 
    168000*ln2^3*z2*z3 - 1134000*ln2*z2^2*z3 - 189000*ln2^2*z3^2 - 
    2882250*z2*z3^2 - 11088000*ln2*z2*z5 + 5633250*z3*z5)/1176000, 
 H[0, -1, 1, -1, 1, 1, 1, 0, 1] -> (-11289600*li4half^2 + 248371200*li8half - 
    940800*li4half*ln2^4 - 13440*ln2^8 - 5241600*ln2^2*s6 + 27790875*s8a + 
    272664000*s8b + 10483200*s8c + 44553600*s8d + 8467200*li6half*z2 + 
    16934400*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 286160*ln2^6*z2 - 
    110980800*s6*z2 + 12720960*li4half*z2^2 - 2016000*ln2^4*z2^2 - 
    2242800*ln2^2*z2^3 - 24228396*z2^4 - 107452800*li5half*z3 - 
    14817600*li4half*ln2*z3 + 278040*ln2^5*z3 + 1629600*ln2^3*z2*z3 - 
    11844000*ln2*z2^2*z3 - 8883000*ln2^2*z3^2 - 13066200*z2*z3^2 - 
    31185000*ln2*z2*z5 + 16542225*z3*z5)/5644800, 
 H[0, -1, 1, -1, 1, 1, 1, -1, 1] -> 
  (1975680000*li8half + 56448000*li7half*ln2 + 37800*ln2^8 - 
    128016000*ln2^2*s6 + 32256000*ln2*s7a - 108864000*ln2*s7b + 
    317959425*s8a + 2752344000*s8b + 191520000*s8c + 260064000*s8d + 
    366912000*li6half*z2 + 423360000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 1372000*ln2^6*z2 - 611856000*s6*z2 + 
    71769600*li4half*z2^2 - 3007200*ln2^4*z2^2 - 17488800*ln2^2*z2^3 - 
    150424272*z2^4 - 872928000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    134400*ln2^5*z3 + 29568000*ln2^3*z2*z3 - 181452600*ln2*z2^2*z3 - 
    51439500*ln2^2*z3^2 - 205600500*z2*z3^2 + 136710000*ln2^3*z5 - 
    352233000*ln2*z2*z5 - 21049875*z3*z5 - 1453378500*ln2*z7)/56448000, 
 H[0, -1, 1, -1, 1, 1, 0, 1, 1] -> (806400*ln2^2*s6 - 2783025*s8a - 
    26611200*s8b - 1612800*s8c - 4334400*s8d - 2217600*li6half*z2 + 
    604800*li5half*ln2*z2 - 1814400*li4half*ln2^2*z2 - 83720*ln2^6*z2 + 
    11340000*s6*z2 - 1380960*li4half*z2^2 + 448560*ln2^4*z2^2 - 
    88200*ln2^2*z2^3 + 614196*z2^4 + 8013600*li5half*z3 + 
    3175200*li4half*ln2*z3 + 65520*ln2^5*z3 - 1108800*ln2^3*z2*z3 + 
    1455300*ln2*z2^2*z3 + 1748250*ln2^2*z3^2 + 2705850*z2*z3^2 + 
    7692300*ln2*z2*z5 - 7575750*z3*z5)/403200, 
 H[0, -1, 1, -1, 1, 1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    131040000*ln2^2*s6 + 429102450*s8a + 2251368000*s8b + 262080000*s8c + 
    231840000*s8d + 28224000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1685600*ln2^6*z2 - 707112000*s6*z2 - 
    31953600*li4half*z2^2 - 31025400*ln2^4*z2^2 + 96818400*ln2^2*z2^3 - 
    24942888*z2^4 - 597744000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    1192800*ln2^5*z3 + 15456000*ln2^3*z2*z3 - 518452200*ln2*z2^2*z3 - 
    73899000*ln2^2*z3^2 - 267561000*z2*z3^2 - 886126500*ln2*z2*z5 + 
    1028530125*z3*z5)/28224000, H[0, -1, 1, -1, 1, 1, 0, -1, 1] -> 
  (338688000*li4half^2 + 15805440000*li8half + 3161088000*li7half*ln2 + 
    28224000*li4half*ln2^4 + 352800*ln2^8 - 2061360000*ln2^2*s6 + 
    860832000*ln2*s7a + 112896000*ln2*s7b + 4276627425*s8a + 
    29329272000*s8b + 2401056000*s8c + 3243744000*s8d + 
    141120000*li6half*z2 + 592704000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 980000*ln2^6*z2 - 9246384000*s6*z2 + 
    432835200*li4half*z2^2 - 33826800*ln2^4*z2^2 + 404964000*ln2^2*z2^3 - 
    1436555592*z2^4 - 7129584000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    65587200*ln2^5*z3 - 654108000*ln2^3*z2*z3 - 4175501400*ln2*z2^2*z3 + 
    784696500*ln2^2*z3^2 - 3020377500*z2*z3^2 + 724563000*ln2^3*z5 - 
    8116038000*ln2*z2*z5 + 5408053875*z3*z5 + 29216250*ln2*z7)/56448000, 
 H[0, -1, 1, -1, 1, 1, -1, 1, 1] -> 
  (319872000*li8half + 9408000*li6half*ln2^2 + 21000*ln2^8 - 
    99456000*ln2^2*s6 + 232415925*s8a + 935592000*s8b + 128352000*s8c + 
    111552000*s8d - 122304000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 2312800*ln2^6*z2 - 420672000*s6*z2 + 
    2553600*li4half*z2^2 + 6750800*ln2^4*z2^2 + 27384000*ln2^2*z2^3 - 
    48736032*z2^4 - 39648000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    6092800*ln2^5*z3 - 35056000*ln2^3*z2*z3 - 132052200*ln2*z2^2*z3 + 
    12673500*ln2^2*z3^2 - 135880500*z2*z3^2 - 56952000*ln2*z2*z5 + 
    274588125*z3*z5)/18816000, H[0, -1, 1, -1, 1, 1, -1, 0, 1] -> 
  (-2257920000*li8half - 56000*ln2^8 - 33264000*ln2^2*s6 - 287404425*s8a - 
    2771496000*s8b + 66528000*s8c - 659232000*s8d + 28224000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 169344000*li4half*ln2^2*z2 + 7957600*ln2^6*z2 + 
    1459584000*s6*z2 - 92332800*li4half*z2^2 - 33247200*ln2^4*z2^2 - 
    16884000*ln2^2*z2^3 + 335648592*z2^4 + 718704000*li5half*z3 - 
    296352000*li4half*ln2*z3 - 18337200*ln2^5*z3 + 213360000*ln2^3*z2*z3 + 
    38770200*ln2*z2^2*z3 - 129748500*ln2^2*z3^2 + 130252500*z2*z3^2 - 
    243243000*ln2*z2*z5 - 362037375*z3*z5)/56448000, 
 H[0, -1, 1, -1, 1, 1, -1, -1, 1] -> 
  (-479808000*li8half - 42336000*li7half*ln2 - 7056000*li6half*ln2^2 - 
    13300*ln2^8 + 136836000*ln2^2*s6 + 15120000*ln2*s7a + 57456000*ln2*s7b - 
    273953925*s8a - 1594908000*s8b - 250992000*s8c - 84168000*s8d - 
    63504000*li6half*z2 - 107800*ln2^6*z2 + 272412000*s6*z2 - 
    16833600*li4half*z2^2 + 3870300*ln2^4*z2^2 - 23095800*ln2^2*z2^3 - 
    21240108*z2^4 + 173628000*li5half*z3 - 1138200*ln2^5*z3 - 
    16842000*ln2^3*z2*z3 + 161563500*ln2*z2^2*z3 + 79773750*ln2^2*z3^2 + 
    243589500*z2*z3^2 - 41013000*ln2^3*z5 + 583868250*ln2*z2*z5 - 
    49974750*z3*z5 + 709222500*ln2*z7)/14112000, 
 H[0, -1, 1, -1, 1, 0, 1, 1, 1] -> 
  (-18144000*li4half^2 - 1512000*li4half*ln2^4 - 31500*ln2^8 + 
    25200000*ln2^2*s6 - 58667175*s8a - 258048000*s8b - 50400000*s8c - 
    6048000*s8d - 46368000*li6half*z2 + 18144000*li4half*ln2^2*z2 + 
    691600*ln2^6*z2 + 19656000*s6*z2 + 9676800*li4half*z2^2 - 
    2032800*ln2^4*z2^2 - 6804000*ln2^2*z2^3 - 2826648*z2^4 - 
    31752000*li4half*ln2*z3 - 1323000*ln2^5*z3 + 19026000*ln2^3*z2*z3 + 
    48610800*ln2*z2^2*z3 - 7465500*ln2^2*z3^2 + 72639000*z2*z3^2 + 
    178699500*ln2*z2*z5 - 78624000*z3*z5)/4032000, 
 H[0, -1, 1, -1, 1, 0, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    36288000*ln2^2*s6 + 32829300*s8a + 85680000*s8b + 72576000*s8c - 
    72576000*s8d - 112896000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 4625600*ln2^6*z2 + 81648000*s6*z2 - 
    52617600*li4half*z2^2 + 14271600*ln2^4*z2^2 - 19630800*ln2^2*z2^3 + 
    56433948*z2^4 + 243936000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    4141200*ln2^5*z3 - 44940000*ln2^3*z2*z3 - 22295700*ln2*z2^2*z3 + 
    26838000*ln2^2*z3^2 - 61708500*z2*z3^2 - 67567500*ln2*z2*z5 - 
    198489375*z3*z5)/14112000, H[0, -1, 1, -1, 1, 0, 1, -1, 1] -> 
  (-12042240000*li8half - 2408448000*li7half*ln2 + 179200*ln2^8 + 
    2031456000*ln2^2*s6 - 536928000*ln2*s7a + 592032000*ln2*s7b - 
    4328948400*s8a - 26971392000*s8b - 2989056000*s8c - 2429952000*s8d - 
    602112000*li6half*z2 - 536256000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 2744000*ln2^6*z2 + 7287168000*s6*z2 - 
    512332800*li4half*z2^2 + 22086400*ln2^4*z2^2 - 354396000*ln2^2*z2^3 + 
    857607936*z2^4 + 5405568000*li5half*z3 + 197568000*li4half*ln2*z3 - 
    36814400*ln2^5*z3 + 345212000*ln2^3*z2*z3 + 3407854800*ln2*z2^2*z3 - 
    226128000*ln2^2*z3^2 + 3347820000*z2*z3^2 - 1093680000*ln2^3*z5 + 
    7583961000*ln2*z2*z5 - 4195947000*z3*z5 + 5206511625*ln2*z7)/18816000, 
 H[0, -1, 1, -1, 1, 0, 0, 1, 1] -> (-161280000*ln2^2*s6 + 475588575*s8a + 
    2577960000*s8b + 322560000*s8c + 241920000*s8d + 451584000*li6half*z2 + 
    627200*ln2^6*z2 - 582624000*s6*z2 + 48384000*li4half*z2^2 - 
    7392000*ln2^4*z2^2 + 60026400*ln2^2*z2^3 - 52753908*z2^4 - 
    568512000*li5half*z3 + 4737600*ln2^5*z3 - 68544000*ln2^3*z2*z3 - 
    379587600*ln2*z2^2*z3 - 17577000*ln2^2*z3^2 - 536949000*z2*z3^2 - 
    1357965000*ln2*z2*z5 + 1091845125*z3*z5)/28224000, 
 H[0, -1, 1, -1, 1, 0, 0, 0, 1] -> (851200*ln2^2*s6 - 2441950*s8a - 
    11592000*s8b - 1702400*s8c - 806400*s8d + 2867200*s6*z2 - 
    161280*li4half*z2^2 - 6720*ln2^4*z2^2 - 251440*ln2^2*z2^3 + 21437*z2^4 + 
    1612800*li5half*z3 - 13440*ln2^5*z3 + 134400*ln2^3*z2*z3 + 
    2244900*ln2*z2^2*z3 + 239400*ln2^2*z3^2 + 1930950*z2*z3^2 + 
    5577600*ln2*z2*z5 - 4303250*z3*z5)/156800, 
 H[0, -1, 1, -1, 1, 0, 0, -1, 1] -> (-94752000*ln2^2*s6 + 22176000*ln2*s7a - 
    48384000*ln2*s7b + 181410075*s8a + 894600000*s8b + 145152000*s8c + 
    80640000*s8d + 28224000*li6half*z2 + 39200*ln2^6*z2 - 258300000*s6*z2 + 
    16128000*li4half*z2^2 + 84000*ln2^4*z2^2 + 33975900*ln2^2*z2^3 + 
    4130862*z2^4 - 169218000*li5half*z3 + 1410150*ln2^5*z3 - 
    11455500*ln2^3*z2*z3 - 124316325*ln2*z2^2*z3 + 3835125*ln2^2*z3^2 - 
    153460125*z2*z3^2 + 68355000*ln2^3*z5 - 293603625*ln2*z2*z5 + 
    286571250*z3*z5 - 314448750*ln2*z7)/3528000, 
 H[0, -1, 1, -1, 1, 0, -1, 1, 1] -> 
  (258048000*li8half - 12902400*li6half*ln2^2 - 11520*ln2^8 - 
    30844800*ln2^2*s6 + 79110675*s8a + 514584000*s8b + 55238400*s8c + 
    42336000*s8d + 19353600*li6half*z2 + 22982400*li5half*ln2*z2 + 
    4838400*li4half*ln2^2*z2 + 126560*ln2^6*z2 - 122976000*s6*z2 + 
    9596160*li4half*z2^2 - 1327200*ln2^4*z2^2 + 2456640*ln2^2*z2^3 - 
    17017632*z2^4 - 109569600*li5half*z3 - 8467200*li4half*ln2*z3 + 
    560280*ln2^5*z3 - 6232800*ln2^3*z2*z3 - 68589360*ln2*z2^2*z3 - 
    5147100*ln2^2*z3^2 - 65072700*z2*z3^2 - 196994700*ln2*z2*z5 + 
    73899000*z3*z5)/806400, H[0, -1, 1, -1, 1, 0, -1, 0, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 + 
    15321600*ln2^2*s6 - 43955100*s8a - 208656000*s8b - 30643200*s8c - 
    14515200*s8d - 67737600*li6half*z2 - 33868800*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 987840*ln2^6*z2 + 27619200*s6*z2 - 
    10523520*li4half*z2^2 + 3795120*ln2^4*z2^2 - 2091600*ln2^2*z2^3 + 
    9709404*z2^4 + 44553600*li5half*z3 + 29635200*li4half*ln2*z3 + 
    863520*ln2^5*z3 - 7929600*ln2^3*z2*z3 + 35760060*ln2*z2^2*z3 + 
    9865800*ln2^2*z3^2 + 48957300*z2*z3^2 + 135720900*ln2*z2*z5 - 
    101107125*z3*z5)/2822400, H[0, -1, 1, -1, 1, 0, -1, -1, 1] -> 
  (6021120000*li8half + 2408448000*li7half*ln2 + 301056000*li6half*ln2^2 + 
    89600*ln2^8 - 1300992000*ln2^2*s6 + 452256000*ln2*s7a - 
    676704000*ln2*s7b + 2496377100*s8a + 15059520000*s8b + 1848000000*s8c + 
    1256640000*s8d - 150528000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    78400*ln2^6*z2 - 4103232000*s6*z2 + 251328000*li4half*z2^2 + 
    6552000*ln2^4*z2^2 + 298082400*ln2^2*z2^3 - 278394024*z2^4 - 
    2421552000*li5half*z3 + 20179600*ln2^5*z3 - 162400000*ln2^3*z2*z3 - 
    1689802800*ln2*z2^2*z3 + 201075000*ln2^2*z3^2 - 1905424500*z2*z3^2 + 
    1093680000*ln2^3*z5 - 3433584000*ln2*z2*z5 + 1904931000*z3*z5 - 
    6063264375*ln2*z7)/18816000, H[0, -1, 1, -1, 1, -1, 1, 1, 1] -> 
  (14112000*li8half - 470400*li5half*ln2^3 + 4270*ln2^8 + 1814400*ln2^2*s6 - 
    3630375*s8a - 4284000*s8b - 3628800*s8c + 2217600*s8d + 
    1411200*li6half*z2 + 5644800*li5half*ln2*z2 + 4233600*li4half*ln2^2*z2 + 
    143080*ln2^6*z2 - 4082400*s6*z2 + 1431360*li4half*z2^2 - 
    757680*ln2^4*z2^2 - 1265040*ln2^2*z2^3 - 2232828*z2^4 - 
    11491200*li5half*z3 - 7408800*li4half*ln2*z3 - 233520*ln2^5*z3 + 
    3981600*ln2^3*z2*z3 + 2197440*ln2*z2^2*z3 - 3039750*ln2^2*z3^2 + 
    7175700*z2*z3^2 - 227850*ln2^3*z5 + 13885200*ln2*z2*z5 - 7293825*z3*z5)/
   940800, H[0, -1, 1, -1, 1, -1, 1, 0, 1] -> 
  (-64512000*li8half - 1600*ln2^8 + 4032000*ln2^2*s6 - 12511800*s8a - 
    88704000*s8b - 8064000*s8c - 8064000*s8d - 1512000*li5half*ln2*z2 + 
    57400*ln2^6*z2 + 24192000*s6*z2 - 1612800*li4half*z2^2 + 
    193200*ln2^4*z2^2 + 1099800*ln2^2*z2^3 + 4403052*z2^4 + 
    19152000*li5half*z3 - 159600*ln2^5*z3 + 367500*ln2^3*z2*z3 + 
    9765000*ln2*z2^2*z3 + 2457000*ln2^2*z3^2 + 7166250*z2*z3^2 + 
    21947625*ln2*z2*z5 - 1338750*z3*z5)/1008000, 
 H[0, -1, 1, -1, 1, -1, 1, -1, 1] -> 
  (806400*li7half*ln2 + 134400*li5half*ln2^3 - 1280*ln2^8 + 28800*ln2^2*s6 - 
    28800*ln2*s7a + 172800*ln2*s7b - 403200*li5half*ln2*z2 + 
    13440*ln2^4*z2^2 + 8640*ln2^2*z2^3 - 36576*z2^4 + 201600*li5half*z3 + 
    4200*ln2^5*z3 - 176400*ln2^3*z2*z3 - 37080*ln2*z2^2*z3 + 
    52200*ln2^2*z3^2 - 113400*z2*z3^2 - 130200*ln2^3*z5 - 860400*ln2*z2*z5 + 
    229950*z3*z5 + 1573875*ln2*z7)/268800, H[0, -1, 1, -1, 1, -1, 0, 1, 1] -> 
  (-193536000*ln2^2*s6 + 513160200*s8a + 2451456000*s8b + 387072000*s8c + 
    177408000*s8d - 225792000*li6half*z2 - 423360000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 3841600*ln2^6*z2 - 693504000*s6*z2 - 
    4032000*li4half*z2^2 + 15120000*ln2^4*z2^2 + 83462400*ln2^2*z2^3 + 
    61972272*z2^4 + 65016000*li5half*z3 + 296352000*li4half*ln2*z3 + 
    11806200*ln2^5*z3 - 172746000*ln2^3*z2*z3 - 339557400*ln2*z2^2*z3 + 
    65961000*ln2^2*z3^2 - 535059000*z2*z3^2 - 1196937000*ln2*z2*z5 + 
    721909125*z3*z5)/28224000, H[0, -1, 1, -1, 1, -1, 0, 0, 1] -> 
  (32256000*ln2^2*s6 - 85526700*s8a - 408576000*s8b - 64512000*s8c - 
    29568000*s8d + 106176000*s6*z2 - 5913600*li4half*z2^2 + 
    3281600*ln2^4*z2^2 - 15380400*ln2^2*z2^3 - 2457912*z2^4 + 
    48552000*li5half*z3 - 404600*ln2^5*z3 + 7574000*ln2^3*z2*z3 + 
    75261900*ln2*z2^2*z3 + 4441500*ln2^2*z3^2 + 78151500*z2*z3^2 + 
    206766000*ln2*z2*z5 - 143516625*z3*z5)/4704000, 
 H[0, -1, 1, -1, 1, -1, 0, -1, 1] -> 
  (-4515840000*li8half - 903168000*li7half*ln2 + 67200*ln2^8 + 
    548352000*ln2^2*s6 - 112896000*ln2*s7a + 112896000*ln2*s7b - 
    1307571300*s8a - 8563968000*s8b - 870912000*s8c - 766080000*s8d - 
    112896000*li6half*z2 - 190512000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 2724400*ln2^6*z2 + 2322432000*s6*z2 - 
    172972800*li4half*z2^2 + 16430400*ln2^4*z2^2 - 71744400*ln2^2*z2^3 + 
    324047592*z2^4 + 1726200000*li5half*z3 + 148176000*li4half*ln2*z3 - 
    8211000*ln2^5*z3 + 100191000*ln2^3*z2*z3 + 1039122000*ln2*z2^2*z3 - 
    14017500*ln2^2*z3^2 + 970263000*z2*z3^2 - 218736000*ln2^3*z5 + 
    2425200750*ln2*z2*z5 - 1055226375*z3*z5 + 1232154000*ln2*z7)/14112000, 
 H[0, -1, 1, -1, 1, -1, -1, 1, 1] -> 
  (395136000*li8half - 21168000*li6half*ln2^2 + 7056000*li5half*ln2^3 - 
    78400*ln2^8 - 61236000*ln2^2*s6 + 179642925*s8a + 1114344000*s8b + 
    133056000*s8c + 64512000*s8d + 21168000*li6half*z2 + 
    63504000*li5half*ln2*z2 - 480200*ln2^6*z2 - 180180000*s6*z2 + 
    12902400*li4half*z2^2 + 3683400*ln2^4*z2^2 + 22654800*ln2^2*z2^3 - 
    4733892*z2^4 - 203112000*li5half*z3 + 2001300*ln2^5*z3 - 
    60585000*ln2^3*z2*z3 - 175020300*ln2*z2^2*z3 + 34870500*ln2^2*z3^2 - 
    215664750*z2*z3^2 + 3417750*ln2^3*z5 - 676005750*ln2*z2*z5 + 
    313653375*z3*z5)/14112000, H[0, -1, 1, -1, 1, -1, -1, 0, 1] -> 
  (169344000*li4half^2 + 1693440000*li8half + 14112000*li4half*ln2^4 + 
    336000*ln2^8 - 38304000*ln2^2*s6 + 189532350*s8a + 2102184000*s8b + 
    76608000*s8c + 318528000*s8d - 56448000*li6half*z2 - 
    127008000*li4half*ln2^2*z2 - 6546400*ln2^6*z2 - 845208000*s6*z2 + 
    26308800*li4half*z2^2 + 12856200*ln2^4*z2^2 - 17136000*ln2^2*z2^3 - 
    140815404*z2^4 - 728784000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    9160200*ln2^5*z3 - 69552000*ln2^3*z2*z3 - 179209800*ln2*z2^2*z3 - 
    15403500*ln2^2*z3^2 - 6741000*z2*z3^2 - 43942500*ln2*z2*z5 - 
    102430125*z3*z5)/28224000, H[0, -1, 1, -1, 1, -1, -1, -1, 1] -> 
  (-874944000*li8half - 28224000*li7half*ln2 + 42336000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 + 160300*ln2^8 - 49896000*ln2^2*s6 - 
    5040000*ln2*s7a - 110880000*ln2*s7b - 33081300*s8a - 601272000*s8b + 
    88704000*s8c - 145152000*s8d - 141120000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    297360000*s6*z2 - 38908800*li4half*z2^2 + 1142400*ln2^4*z2^2 + 
    24040800*ln2^2*z2^3 + 166439232*z2^4 + 473760000*li5half*z3 + 
    74088000*li4half*ln2*z3 - 1478400*ln2^5*z3 + 71232000*ln2^3*z2*z3 + 
    166950000*ln2*z2^2*z3 - 93523500*ln2^2*z3^2 + 3811500*z2*z3^2 + 
    95697000*ln2^3*z5 + 232249500*ln2*z2*z5 - 387607500*z3*z5 - 
    1070944875*ln2*z7)/28224000, H[0, -1, 1, -1, 0, 1, 1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    3360000*ln2^2*s6 - 1231650*s8a - 79800000*s8b - 6720000*s8c + 
    6720000*s8d - 98784000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 372400*ln2^6*z2 - 56952000*s6*z2 - 
    7123200*li4half*z2^2 + 879200*ln2^4*z2^2 + 9105600*ln2^2*z2^3 + 
    3762216*z2^4 - 14616000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    1150800*ln2^5*z3 - 9450000*ln2^3*z2*z3 + 17929800*ln2*z2^2*z3 + 
    11749500*ln2^2*z3^2 + 19078500*z2*z3^2 + 93586500*ln2*z2*z5 + 
    33775875*z3*z5)/9408000, H[0, -1, 1, -1, 0, 1, 1, 0, 1] -> 
  (-8064000*ln2^2*s6 + 13193775*s8a + 100968000*s8b + 16128000*s8c - 
    16128000*s8d + 27552000*s6*z2 - 3225600*li4half*z2^2 - 
    134400*ln2^4*z2^2 - 9928800*ln2^2*z2^3 + 11017164*z2^4 + 
    84000000*li5half*z3 - 700000*ln2^5*z3 + 7000000*ln2^3*z2*z3 - 
    33159000*ln2*z2^2*z3 - 2268000*ln2^2*z3^2 - 11177250*z2*z3^2 - 
    60070500*ln2*z2*z5 - 73631250*z3*z5)/9408000, 
 H[0, -1, 1, -1, 0, 1, 1, -1, 1] -> 
  (1290240000*li8half + 258048000*li7half*ln2 - 19200*ln2^8 - 
    242928000*ln2^2*s6 + 56448000*ln2*s7a - 65856000*ln2*s7b + 
    529258275*s8a + 3213336000*s8b + 372960000*s8c + 292320000*s8d + 
    32256000*li6half*z2 + 8064000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 + 
    492800*ln2^6*z2 - 899808000*s6*z2 + 60345600*li4half*z2^2 - 
    4575200*ln2^4*z2^2 + 44392800*ln2^2*z2^3 - 88580736*z2^4 - 
    601776000*li5half*z3 - 14112000*li4half*ln2*z3 + 4426800*ln2^5*z3 - 
    41328000*ln2^3*z2*z3 - 410411400*ln2*z2^2*z3 + 18112500*ln2^2*z3^2 - 
    411799500*z2*z3^2 + 118482000*ln2^3*z5 - 944034000*ln2*z2*z5 + 
    542107125*z3*z5 - 514211250*ln2*z7)/2688000, 
 H[0, -1, 1, -1, 0, 1, 0, 1, 1] -> (10752000*ln2^2*s6 - 19153575*s8a + 
    32760000*s8b - 21504000*s8c + 21504000*s8d + 225792000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 1724800*ln2^6*z2 + 
    32256000*s6*z2 + 20294400*li4half*z2^2 - 8562400*ln2^4*z2^2 - 
    18396000*ln2^2*z2^3 - 37425972*z2^4 - 165312000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 2738400*ln2^5*z3 + 43848000*ln2^3*z2*z3 + 
    25376400*ln2*z2^2*z3 - 40194000*ln2^2*z3^2 - 10993500*z2*z3^2 - 
    43974000*ln2*z2*z5 + 86470125*z3*z5)/9408000, 
 H[0, -1, 1, -1, 0, 1, 0, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 - 3090150*s8a - 
    21168000*s8b + 8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 + 
    1008000*s6*z2 + 11088000*li4half*z2^2 - 546000*ln2^4*z2^2 - 
    4132800*ln2^2*z2^3 - 1568094*z2^4 + 24192000*li5half*z3 - 
    201600*ln2^5*z3 + 2016000*ln2^3*z2*z3 + 24570000*ln2*z2^2*z3 - 
    3874500*z2*z3^2 - 1984500*ln2*z2*z5 - 24735375*z3*z5)/2016000, 
 H[0, -1, 1, -1, 0, 1, 0, -1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 - 
    20966400*ln2^2*s6 - 22579200*ln2*s7a - 45158400*ln2*s7b + 73656450*s8a + 
    274982400*s8b + 87091200*s8c - 19353600*s8d - 33868800*li5half*ln2*z2 - 
    5644800*li4half*ln2^2*z2 + 47040*ln2^6*z2 + 4838400*s6*z2 + 
    10523520*li4half*z2^2 + 438480*ln2^4*z2^2 - 1895040*ln2^2*z2^3 + 
    24544116*z2^4 + 75398400*li5half*z3 - 9878400*li4half*ln2*z3 - 
    1039920*ln2^5*z3 + 8752800*ln2^3*z2*z3 + 3312540*ln2*z2^2*z3 - 
    40471200*ln2^2*z3^2 - 72451575*z2*z3^2 + 21873600*ln2^3*z5 - 
    95369400*ln2*z2*z5 - 52989300*z3*z5 - 348301800*ln2*z7)/2822400, 
 H[0, -1, 1, -1, 0, 1, -1, 1, 1] -> 
  (-258048000*li8half + 12902400*li6half*ln2^2 + 11520*ln2^8 + 
    41865600*ln2^2*s6 - 102792375*s8a - 630302400*s8b - 69753600*s8c - 
    60076800*s8d - 89600*ln2^6*z2 + 185068800*s6*z2 - 12015360*li4half*z2^2 + 
    1528800*ln2^4*z2^2 - 7260960*ln2^2*z2^3 + 18476544*z2^4 + 
    120153600*li5half*z3 - 1001280*ln2^5*z3 + 7896000*ln2^3*z2*z3 + 
    82139400*ln2*z2^2*z3 + 6262200*ln2^2*z3^2 + 78069600*z2*z3^2 + 
    209260800*ln2*z2*z5 - 108500175*z3*z5)/537600, 
 H[0, -1, 1, -1, 0, 1, -1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    24192000*ln2^2*s6 + 145429200*s8a + 1252944000*s8b - 48384000*s8c + 
    387072000*s8d + 677376000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 3998400*ln2^6*z2 - 576576000*s6*z2 + 
    115516800*li4half*z2^2 - 9298800*ln2^4*z2^2 + 41428800*ln2^2*z2^3 - 
    211600548*z2^4 - 633024000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    898800*ln2^5*z3 - 15708000*ln2^3*z2*z3 - 91431900*ln2*z2^2*z3 + 
    6804000*ln2^2*z3^2 - 193528125*z2*z3^2 - 216688500*ln2*z2*z5 + 
    869659875*z3*z5)/14112000, H[0, -1, 1, -1, 0, 1, -1, -1, 1] -> 
  (-361267200*li7half*ln2 - 90316800*li6half*ln2^2 - 53760*ln2^8 + 
    48249600*ln2^2*s6 - 94752000*ln2*s7a + 106579200*ln2*s7b - 18298350*s8a - 
    65923200*s8b - 4838400*s8c - 17740800*s8d + 135475200*li6half*z2 + 
    39513600*li5half*ln2*z2 + 11289600*li4half*ln2^2*z2 + 705600*ln2^6*z2 + 
    120153600*s6*z2 - 913920*li4half*z2^2 - 9493120*ln2^4*z2^2 - 
    28939680*ln2^2*z2^3 - 4650552*z2^4 - 12499200*li5half*z3 - 
    19756800*li4half*ln2*z3 - 719040*ln2^5*z3 + 18715200*ln2^3*z2*z3 - 
    19115040*ln2*z2^2*z3 - 105896700*ln2^2*z3^2 - 12291300*z2*z3^2 - 
    195039600*ln2^3*z5 - 343837200*ln2*z2*z5 - 45857700*z3*z5 + 
    775681725*ln2*z7)/3763200, H[0, -1, 1, -1, 0, 0, 1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    1680000*ln2^2*s6 + 615825*s8a + 39900000*s8b + 3360000*s8c - 
    3360000*s8d - 14112000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    607600*ln2^6*z2 - 3276000*s6*z2 - 9139200*li4half*z2^2 + 
    2559200*ln2^4*z2^2 + 1444800*ln2^2*z2^3 + 6760532*z2^4 + 
    44352000*li5half*z3 + 24696000*li4half*ln2*z3 + 659400*ln2^5*z3 - 
    10710000*ln2^3*z2*z3 + 1839600*ln2*z2^2*z3 + 10332000*ln2^2*z3^2 - 
    12369000*z2*z3^2 - 40950000*ln2*z2*z5 - 21086625*z3*z5)/4704000, 
 H[0, -1, 1, -1, 0, 0, 1, 0, 1] -> (-1344000*ln2^2*s6 + 3435600*s8a - 
    1008000*s8b + 2688000*s8c - 2688000*s8d + 5846400*s6*z2 - 
    537600*li4half*z2^2 - 22400*ln2^4*z2^2 + 2214240*ln2^2*z2^3 + 
    1024502*z2^4 - 9676800*li5half*z3 + 80640*ln2^5*z3 - 806400*ln2^3*z2*z3 - 
    6748560*ln2*z2^2*z3 - 378000*ln2^2*z3^2 - 1148700*z2*z3^2 - 
    8549100*ln2*z2*z5 + 9498825*z3*z5)/940800, 
 H[0, -1, 1, -1, 0, 0, 1, -1, 1] -> (108528000*ln2^2*s6 - 11760000*ln2*s7a + 
    44688000*ln2*s7b - 249538800*s8a - 1286880000*s8b - 193536000*s8c - 
    145152000*s8d + 56448000*li5half*ln2*z2 - 470400*ln2^6*z2 + 
    447888000*s6*z2 - 29030400*li4half*z2^2 + 3494400*ln2^4*z2^2 - 
    47140800*ln2^2*z2^3 + 6376672*z2^4 + 252672000*li5half*z3 - 
    2105600*ln2^5*z3 + 21056000*ln2^3*z2*z3 + 176937600*ln2*z2^2*z3 + 
    12516000*ln2^2*z3^2 + 210420000*z2*z3^2 - 54684000*ln2^3*z5 + 
    436327500*ln2*z2*z5 - 464800875*z3*z5 + 180203625*ln2*z7)/4704000, 
 H[0, -1, 1, -1, 0, 0, 0, 1, 1] -> (2688000*ln2^2*s6 - 7099050*s8a - 
    30912000*s8b - 5376000*s8c + 5376000*s8d - 3696000*s6*z2 + 
    1075200*li4half*z2^2 + 44800*ln2^4*z2^2 - 1923600*ln2^2*z2^3 - 
    3526823*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 + 672000*ln2^3*z2*z3 + 
    7755300*ln2*z2^2*z3 + 756000*ln2^2*z3^2 + 8405250*z2*z3^2 + 
    39721500*ln2*z2*z5 - 15274875*z3*z5)/2352000, 
 H[0, -1, 1, -1, 0, 0, 0, 0, 1] -> 
  (3*(57225*s8a + 392000*s8b - 84000*ln2^2*z2^3 - 21164*z2^4 - 
     63000*ln2*z2^2*z3 - 5250*z2*z3^2 - 52500*ln2*z2*z5 + 87500*z3*z5))/
   112000, H[0, -1, 1, -1, 0, 0, 0, -1, 1] -> 
  (50400000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 96021975*s8a - 
    466368000*s8b - 76608000*s8c - 36288000*s8d + 130200000*s6*z2 - 
    7257600*li4half*z2^2 - 302400*ln2^4*z2^2 - 19807200*ln2^2*z2^3 - 
    7353421*z2^4 + 86688000*li5half*z3 - 722400*ln2^5*z3 + 
    7224000*ln2^3*z2*z3 + 68277300*ln2*z2^2*z3 - 4347000*ln2^2*z3^2 + 
    78624000*z2*z3^2 - 36456000*ln2^3*z5 + 157384500*ln2*z2*z5 - 
    142710750*z3*z5 + 186566625*ln2*z7)/2352000, 
 H[0, -1, 1, -1, 0, 0, -1, 1, 1] -> (-99120000*ln2^2*s6 + 222770100*s8a + 
    1178688000*s8b + 151200000*s8c + 159264000*s8d - 
    56448000*li5half*ln2*z2 + 470400*ln2^6*z2 - 473760000*s6*z2 + 
    31852800*li4half*z2^2 - 3376800*ln2^4*z2^2 + 51870000*ln2^2*z2^3 - 
    21371624*z2^4 - 257376000*li5half*z3 + 2144800*ln2^5*z3 - 
    21448000*ln2^3*z2*z3 - 167603100*ln2*z2^2*z3 - 16558500*ln2^2*z3^2 - 
    169774500*z2*z3^2 - 380614500*ln2*z2*z5 + 442456875*z3*z5)/4704000, 
 H[0, -1, 1, -1, 0, 0, -1, 0, 1] -> 
  (-12096000*ln2^2*s6 + 20806800*s8a + 56784000*s8b + 24192000*s8c - 
    24192000*s8d + 27216000*s6*z2 - 4838400*li4half*z2^2 - 
    201600*ln2^4*z2^2 + 5745600*ln2^2*z2^3 + 10391198*z2^4 - 
    8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 - 
    35670600*ln2*z2^2*z3 - 3402000*ln2^2*z3^2 - 19540500*z2*z3^2 - 
    83821500*ln2*z2*z5 + 28615125*z3*z5)/4704000, 
 H[0, -1, 1, -1, 0, 0, -1, -1, 1] -> 
  (-2150400*ln2^2*s6 + 10348800*ln2*s7a - 12230400*ln2*s7b + 9149175*s8a + 
    32961600*s8b + 2419200*s8c + 8870400*s8d + 5644800*li5half*ln2*z2 - 
    47040*ln2^6*z2 - 27148800*s6*z2 + 1774080*li4half*z2^2 + 
    544320*ln2^4*z2^2 - 399840*ln2^2*z2^3 - 6637972*z2^4 - 
    22444800*li5half*z3 + 187040*ln2^5*z3 - 4340000*ln2^3*z2*z3 - 
    7780080*ln2*z2^2*z3 + 15036000*ln2^2*z3^2 - 6533100*z2*z3^2 + 
    21873600*ln2^3*z5 + 23862300*ln2*z2*z5 + 51832725*z3*z5 - 
    15431325*ln2*z7)/1881600, H[0, -1, 1, -1, 0, -1, 1, 1, 1] -> 
  (9031680000*li8half + 150528000*li5half*ln2^3 - 1030400*ln2^8 - 
    851760000*ln2^2*s6 + 2551400775*s8a + 17013528000*s8b + 1703520000*s8c + 
    1485792000*s8d - 1524096000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 1960000*ln2^6*z2 - 5201280000*s6*z2 + 
    257644800*li4half*z2^2 - 31130400*ln2^4*z2^2 + 173527200*ln2^2*z2^3 - 
    379135296*z2^4 - 2999808000*li5half*z3 + 296352000*li4half*ln2*z3 + 
    37346400*ln2^5*z3 - 361116000*ln2^3*z2*z3 - 2091965400*ln2*z2^2*z3 - 
    45076500*ln2^2*z3^2 - 1872769500*z2*z3^2 - 72912000*ln2^3*z5 - 
    5619474000*ln2*z2*z5 + 2242618875*z3*z5)/56448000, 
 H[0, -1, 1, -1, 0, -1, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    32256000*ln2^2*s6 - 187500600*s8a - 1309392000*s8b - 64512000*s8c - 
    274176000*s8d - 338688000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 4468800*ln2^6*z2 + 534240000*s6*z2 - 
    92937600*li4half*z2^2 + 12591600*ln2^4*z2^2 - 60303600*ln2^2*z2^3 + 
    114421284*z2^4 + 576576000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    1369200*ln2^5*z3 + 11004000*ln2^3*z2*z3 + 165343500*ln2*z2^2*z3 + 
    9072000*ln2^2*z3^2 + 216846000*z2*z3^2 + 474232500*ln2*z2*z5 - 
    859957875*z3*z5)/14112000, H[0, -1, 1, -1, 0, -1, 1, -1, 1] -> 
  (-2257920000*li8half - 338688000*li7half*ln2 - 9408000*li5half*ln2^3 + 
    89600*ln2^8 + 409500000*ln2^2*s6 - 80892000*ln2*s7a + 107856000*ln2*s7b - 
    924389550*s8a - 5571216000*s8b - 657216000*s8c - 499968000*s8d - 
    169344000*li6half*z2 - 56448000*li5half*ln2*z2 - 392000*ln2^6*z2 + 
    1486800000*s6*z2 - 99993600*li4half*z2^2 + 7975800*ln2^4*z2^2 - 
    68355000*ln2^2*z2^3 + 164649042*z2^4 + 1059912000*li5half*z3 - 
    8832600*ln2^5*z3 + 74434500*ln2^3*z2*z3 + 717336900*ln2*z2^2*z3 - 
    8694000*ln2^2*z3^2 + 744723000*z2*z3^2 - 178292625*ln2^3*z5 + 
    1715954625*ln2*z2*z5 - 958080375*z3*z5 + 818023500*ln2*z7)/3528000, 
 H[0, -1, 1, -1, 0, -1, 0, 1, 1] -> 
  (-672000*ln2^2*s6 - 689325*s8a - 25200000*s8b + 1344000*s8c - 1344000*s8d + 
    169344000*li6half*z2 + 65856000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 77952000*s6*z2 + 
    3729600*li4half*z2^2 - 1412600*ln2^4*z2^2 - 10059000*ln2^2*z2^3 - 
    23938602*z2^4 - 51408000*li5half*z3 - 24696000*li4half*ln2*z3 - 
    600600*ln2^5*z3 + 10122000*ln2^3*z2*z3 - 5125050*ln2*z2^2*z3 - 
    10993500*ln2^2*z3^2 - 18243750*z2*z3^2 - 22480500*ln2*z2*z5 + 
    25845750*z3*z5)/2352000, H[0, -1, 1, -1, 0, -1, 0, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    16128000*ln2^2*s6 - 6322050*s8a + 61488000*s8b - 32256000*s8c + 
    32256000*s8d + 56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 - 
    57456000*s6*z2 + 84067200*li4half*z2^2 - 3553200*ln2^4*z2^2 - 
    44704800*ln2^2*z2^3 - 35703858*z2^4 + 274176000*li5half*z3 - 
    2284800*ln2^5*z3 + 22848000*ln2^3*z2*z3 + 114975000*ln2*z2^2*z3 + 
    4536000*ln2^2*z3^2 - 25420500*z2*z3^2 + 69646500*ln2*z2*z5 - 
    148924125*z3*z5)/14112000, H[0, -1, 1, -1, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    88704000*ln2^2*s6 - 56448000*ln2*s7a - 114151275*s8a - 723744000*s8b - 
    64512000*s8c - 104832000*s8d + 169344000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 
    371952000*s6*z2 + 15019200*li4half*z2^2 + 1801800*ln2^4*z2^2 - 
    63743400*ln2^2*z2^3 - 19789254*z2^4 + 273168000*li5half*z3 - 
    24696000*li4half*ln2*z3 - 3305400*ln2^5*z3 + 28938000*ln2^3*z2*z3 + 
    149798250*ln2*z2^2*z3 - 61488000*ln2^2*z3^2 + 53676000*z2*z3^2 - 
    54684000*ln2^3*z5 + 247117500*ln2*z2*z5 - 327505500*z3*z5 + 
    27121500*ln2*z7)/7056000, H[0, -1, 1, -1, 0, -1, -1, 1, 1] -> 
  (24192000*li4half^2 + 2580480000*li8half - 193536000*li6half*ln2^2 - 
    21504000*li5half*ln2^3 + 2016000*li4half*ln2^4 + 16400*ln2^8 - 
    474768000*ln2^2*s6 + 1037321775*s8a + 6205752000*s8b + 739872000*s8c + 
    558432000*s8d + 326592000*li6half*z2 + 145152000*li5half*ln2*z2 + 
    18144000*li4half*ln2^2*z2 + 448000*ln2^6*z2 - 1623888000*s6*z2 + 
    103622400*li4half*z2^2 - 11659200*ln2^4*z2^2 + 74109600*ln2^2*z2^3 - 
    209504376*z2^4 - 1257984000*li5half*z3 - 21168000*li4half*ln2*z3 + 
    9601200*ln2^5*z3 - 62496000*ln2^3*z2*z3 - 840180600*ln2*z2^2*z3 - 
    92515500*ln2^2*z3^2 - 820102500*z2*z3^2 + 10416000*ln2^3*z5 - 
    2237193000*ln2*z2*z5 + 1046548125*z3*z5)/8064000, 
 H[0, -1, 1, -1, 0, -1, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    10752000*ln2^2*s6 + 28910700*s8a + 90720000*s8b + 21504000*s8c - 
    21504000*s8d - 225792000*li6half*z2 - 75264000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1489600*ln2^6*z2 - 74592000*s6*z2 + 
    1344000*li4half*z2^2 - 5040000*ln2^4*z2^2 + 4284000*ln2^2*z2^3 + 
    37331892*z2^4 + 174720000*li5half*z3 - 1456000*ln2^5*z3 + 
    14560000*ln2^3*z2*z3 + 2877000*ln2*z2^2*z3 - 3024000*ln2^2*z3^2 - 
    10101000*z2*z3^2 - 67084500*ln2*z2*z5 - 46192125*z3*z5)/9408000, 
 H[0, -1, 1, -1, 0, -1, -1, -1, 1] -> 
  (-12096000*li4half^2 + 1290240000*li8half + 774144000*li7half*ln2 + 
    193536000*li6half*ln2^2 + 21504000*li5half*ln2^3 - 
    1008000*li4half*ln2^4 - 53000*ln2^8 - 197568000*ln2^2*s6 + 
    163296000*ln2*s7a - 203616000*ln2*s7b + 411556950*s8a + 2534112000*s8b + 
    278208000*s8c + 225792000*s8d - 48384000*li5half*ln2*z2 - 
    30240000*li4half*ln2^2*z2 - 767200*ln2^6*z2 - 713664000*s6*z2 + 
    46368000*li4half*z2^2 + 6216000*ln2^4*z2^2 + 26560800*ln2^2*z2^3 - 
    96297408*z2^4 - 403200000*li5half*z3 + 42336000*li4half*ln2*z3 + 
    5124000*ln2^5*z3 - 54768000*ln2^3*z2*z3 - 265986000*ln2*z2^2*z3 + 
    144207000*ln2^2*z3^2 - 309708000*z2*z3^2 + 345030000*ln2^3*z5 - 
    176652000*ln2*z2*z5 + 318417750*z3*z5 - 1571826375*ln2*z7)/8064000, 
 H[0, -1, 1, -1, -1, 1, 1, 1, 1] -> 
  (-21168000*li4half^2 - 493920000*li8half + 24500*ln2^8 + 
    94248000*ln2^2*s6 - 243523350*s8a - 1374912000*s8b - 188496000*s8c - 
    90216000*s8d + 35280000*li6half*z2 - 21168000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 872200*ln2^6*z2 + 363888000*s6*z2 - 
    6048000*li4half*z2^2 + 8773800*ln2^4*z2^2 - 19278000*ln2^2*z2^3 + 
    13945194*z2^4 + 245700000*li5half*z3 + 37044000*li4half*ln2*z3 - 
    812700*ln2^5*z3 + 6804000*ln2^3*z2*z3 + 208259100*ln2*z2^2*z3 + 
    45029250*ln2^2*z3^2 + 169706250*z2*z3^2 + 554242500*ln2*z2*z5 - 
    223957125*z3*z5)/14112000, H[0, -1, 1, -1, -1, 1, 1, 0, 1] -> 
  (84672000*li4half^2 - 225792000*li8half + 7056000*li4half*ln2^4 + 
    141400*ln2^8 - 144144000*ln2^2*s6 + 125664525*s8a - 127512000*s8b + 
    288288000*s8c - 330624000*s8d - 141120000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 169344000*li4half*ln2^2*z2 - 
    4272800*ln2^6*z2 + 611856000*s6*z2 - 181843200*li4half*z2^2 + 
    12591600*ln2^4*z2^2 - 22276800*ln2^2*z2^3 + 191070864*z2^4 + 
    689472000*li5half*z3 + 275184000*li4half*ln2*z3 + 5720400*ln2^5*z3 - 
    28980000*ln2^3*z2*z3 - 233188200*ln2*z2^2*z3 - 31279500*ln2^2*z3^2 - 
    146097000*z2*z3^2 - 498393000*ln2*z2*z5 - 442882125*z3*z5)/56448000, 
 H[0, -1, 1, -1, -1, 1, 1, -1, 1] -> 
  (84672000*li4half^2 + 1693440000*li8half - 56448000*li7half*ln2 - 
    93800*ln2^8 - 430416000*ln2^2*s6 + 44352000*ln2*s7a + 30240000*ln2*s7b + 
    953062425*s8a + 5251176000*s8b + 772128000*s8c + 399168000*s8d + 
    84672000*li6half*z2 + 254016000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 3998400*ln2^6*z2 - 1299312000*s6*z2 + 
    24796800*li4half*z2^2 - 36128400*ln2^4*z2^2 + 111283200*ln2^2*z2^3 - 
    80358552*z2^4 - 967680000*li5half*z3 + 9298800*ln2^5*z3 - 
    75348000*ln2^3*z2*z3 - 881559000*ln2*z2^2*z3 - 62401500*ln2^2*z3^2 - 
    814590000*z2*z3^2 + 13671000*ln2^3*z5 - 2888991000*ln2*z2*z5 + 
    1202740875*z3*z5 + 962285625*ln2*z7)/56448000, 
 H[0, -1, 1, -1, -1, 1, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    5376000*ln2^2*s6 + 56567175*s8a + 384048000*s8b + 10752000*s8c + 
    80976000*s8d - 112896000*li6half*z2 + 14112000*li5half*ln2*z2 + 
    63504000*li4half*ln2^2*z2 + 2371600*ln2^6*z2 - 320712000*s6*z2 + 
    24427200*li4half*z2^2 - 11771200*ln2^4*z2^2 + 16606800*ln2^2*z2^3 - 
    15482532*z2^4 - 177240000*li5half*z3 - 91728000*li4half*ln2*z3 - 
    2345000*ln2^5*z3 + 30506000*ln2^3*z2*z3 - 14569800*ln2*z2^2*z3 - 
    37012500*ln2^2*z3^2 + 21777000*z2*z3^2 + 31027500*ln2*z2*z5 + 
    156234750*z3*z5)/9408000, H[0, -1, 1, -1, -1, 1, 0, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    9072000*ln2^2*s6 - 97147575*s8a - 618912000*s8b + 18144000*s8c - 
    145152000*s8d + 84672000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 4586400*ln2^6*z2 + 413784000*s6*z2 + 
    70459200*li4half*z2^2 - 5002200*ln2^4*z2^2 - 25855200*ln2^2*z2^3 + 
    32735088*z2^4 + 149184000*li5half*z3 - 84672000*li4half*ln2*z3 - 
    4771200*ln2^5*z3 + 49476000*ln2^3*z2*z3 + 169734600*ln2*z2^2*z3 - 
    30334500*ln2^2*z3^2 - 46242000*z2*z3^2 - 303156000*ln2*z2*z5 - 
    222618375*z3*z5)/28224000, H[0, -1, 1, -1, -1, 1, 0, -1, 1] -> 
  (-2257920000*li8half - 451584000*li7half*ln2 + 33600*ln2^8 + 
    260400000*ln2^2*s6 - 169344000*ln2*s7a - 70560000*ln2*s7b - 
    476351925*s8a - 3622584000*s8b - 182112000*s8c - 495264000*s8d - 
    28224000*li6half*z2 + 197568000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 3292800*ln2^6*z2 + 1300992000*s6*z2 - 
    65654400*li4half*z2^2 - 9438800*ln2^4*z2^2 - 2016000*ln2^2*z2^3 + 
    252853872*z2^4 + 776496000*li5half*z3 - 211680000*li4half*ln2*z3 - 
    15290800*ln2^5*z3 + 122332000*ln2^3*z2*z3 + 511513800*ln2*z2^2*z3 - 
    201505500*ln2^2*z3^2 + 313572000*z2*z3^2 - 95697000*ln2^3*z5 + 
    555597000*ln2*z2*z5 - 548795625*z3*z5 - 402798375*ln2*z7)/18816000, 
 H[0, -1, 1, -1, -1, 1, -1, 1, 1] -> 
  (-254016000*li4half^2 + 451584000*li8half + 84672000*li6half*ln2^2 - 
    28224000*li4half*ln2^4 - 606200*ln2^8 + 140112000*ln2^2*s6 - 
    79636725*s8a - 362376000*s8b - 110880000*s8c + 26208000*s8d - 
    254016000*li6half*z2 - 508032000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 - 264096000*s6*z2 + 
    149184000*li4half*z2^2 - 7954800*ln2^4*z2^2 - 156643200*ln2^2*z2^3 - 
    76323096*z2^4 + 497952000*li5half*z3 - 42336000*li4half*ln2*z3 - 
    4678800*ln2^5*z3 + 55608000*ln2^3*z2*z3 + 275776200*ln2*z2^2*z3 - 
    118030500*ln2^2*z3^2 + 301234500*z2*z3^2 + 1316952000*ln2*z2*z5 - 
    955576125*z3*z5)/56448000, H[0, -1, 1, -1, -1, 1, -1, 0, 1] -> 
  (604800*li6half*z2 + 1008000*li5half*ln2*z2 + 504000*li4half*ln2^2*z2 + 
    13440*ln2^6*z2 + 487200*s6*z2 - 100800*li4half*z2^2 - 71400*ln2^4*z2^2 + 
    115920*ln2^2*z2^3 - 46632*z2^4 - 1092000*li5half*z3 - 
    655200*li4half*ln2*z3 - 18200*ln2^5*z3 + 203000*ln2^3*z2*z3 - 
    144060*ln2*z2^2*z3 - 176400*ln2^2*z3^2 - 337050*z2*z3^2 - 
    1556100*ln2*z2*z5 + 1685775*z3*z5)/134400, 
 H[0, -1, 1, -1, -1, 1, -1, -1, 1] -> 
  (9408000*li4half^2 + 56448000*li8half + 18816000*li7half*ln2 - 
    9408000*li6half*ln2^2 + 1568000*li4half*ln2^4 + 33600*ln2^8 + 
    6048000*ln2^2*s6 - 18816000*ln2*s7a - 4704000*ln2*s7b - 8815800*s8a + 
    12768000*s8b + 6720000*s8c - 16128000*s8d + 28224000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 32928000*li4half*ln2^2*z2 + 862400*ln2^6*z2 + 
    48720000*s6*z2 - 2755200*li4half*z2^2 - 3701600*ln2^4*z2^2 - 
    537600*ln2^2*z2^3 + 7069752*z2^4 - 26544000*li5half*z3 - 
    44688000*li4half*ln2*z3 - 1778000*ln2^5*z3 + 21308000*ln2^3*z2*z3 + 
    11088000*ln2*z2^2*z3 - 31227000*ln2^2*z3^2 + 4441500*z2*z3^2 - 
    13671000*ln2^3*z5 - 63231000*ln2*z2*z5 - 61577250*z3*z5 - 
    100713375*ln2*z7)/6272000, H[0, -1, 1, -1, -1, 0, 1, 1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    91056000*ln2^2*s6 + 174950475*s8a + 898968000*s8b + 182112000*s8c + 
    15456000*s8d + 225792000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 980000*ln2^6*z2 - 37968000*s6*z2 - 
    35011200*li4half*z2^2 - 2634800*ln2^4*z2^2 + 18967200*ln2^2*z2^3 + 
    14113416*z2^4 - 235536000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    1668800*ln2^5*z3 - 19628000*ln2^3*z2*z3 - 198168600*ln2*z2^2*z3 - 
    22522500*ln2^2*z3^2 - 218977500*z2*z3^2 - 674667000*ln2*z2*z5 + 
    334837125*z3*z5)/18816000, H[0, -1, 1, -1, -1, 0, 1, 0, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 + 
    1048320*ln2^2*s6 - 397740*s8a - 860160*s8b - 2096640*s8c + 2096640*s8d + 
    1128960*li6half*z2 + 1128960*li5half*ln2*z2 + 1128960*li4half*ln2^2*z2 + 
    39200*ln2^6*z2 - 3534720*s6*z2 + 1322496*li4half*z2^2 - 
    15456*ln2^4*z2^2 + 144144*ln2^2*z2^3 - 1507868*z2^4 - 
    1182720*li5half*z3 - 846720*li4half*ln2*z3 - 25424*ln2^5*z3 - 
    98560*ln2^3*z2*z3 + 1208676*ln2*z2^2*z3 + 665280*ln2^2*z3^2 + 
    909510*z2*z3^2 + 5381460*ln2*z2*z5 + 2715615*z3*z5)/188160, 
 H[0, -1, 1, -1, -1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 - 
    9408000*li4half*ln2^4 - 330400*ln2^8 - 1496208000*ln2^2*s6 + 
    461664000*ln2*s7a - 385056000*ln2*s7b + 3151905225*s8a + 
    19644744000*s8b + 2069088000*s8c + 1854048000*s8d + 
    338688000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    225792000*li4half*ln2^2*z2 - 5566400*ln2^6*z2 - 5505024000*s6*z2 + 
    403737600*li4half*z2^2 + 16587200*ln2^4*z2^2 + 171460800*ln2^2*z2^3 - 
    696043704*z2^4 - 3503472000*li5half*z3 + 254016000*li4half*ln2*z3 + 
    39779600*ln2^5*z3 - 341348000*ln2^3*z2*z3 - 2435475000*ln2*z2^2*z3 + 
    326245500*ln2^2*z3^2 - 2415882000*z2*z3^2 + 820260000*ln2^3*z5 - 
    4634280000*ln2*z2*z5 + 2804626125*z3*z5 - 3678262875*ln2*z7)/18816000, 
 H[0, -1, 1, -1, -1, 0, 0, 1, 1] -> (576000*li4half^2 + 48000*li4half*ln2^4 + 
    1000*ln2^8 + 240000*ln2^2*s6 - 2159775*s8a - 12480000*s8b - 480000*s8c - 
    2400000*s8d - 2880000*li6half*z2 - 576000*li5half*ln2*z2 - 
    864000*li4half*ln2^2*z2 - 35200*ln2^6*z2 + 5784000*s6*z2 - 
    945600*li4half*z2^2 + 152600*ln2^4*z2^2 - 93600*ln2^2*z2^3 + 
    1239976*z2^4 + 4464000*li5half*z3 + 1440000*li4half*ln2*z3 + 
    22800*ln2^5*z3 - 216000*ln2^3*z2*z3 + 1177200*ln2*z2^2*z3 + 
    319500*ln2^2*z3^2 + 1512000*z2*z3^2 + 1444500*ln2*z2*z5 - 6471750*z3*z5)/
   192000, H[0, -1, 1, -1, -1, 0, 0, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    7660800*ln2^2*s6 + 27148275*s8a + 153014400*s8b + 15321600*s8c + 
    18547200*s8d - 5644800*li4half*ln2^2*z2 - 235200*ln2^6*z2 - 
    56145600*s6*z2 + 7801920*li4half*z2^2 + 1030680*ln2^4*z2^2 + 
    3003840*ln2^2*z2^3 - 6326676*z2^4 - 45561600*li5half*z3 + 
    379680*ln2^5*z3 - 3796800*ln2^3*z2*z3 - 23582160*ln2*z2^2*z3 - 
    2154600*ln2^2*z3^2 - 13144950*z2*z3^2 - 42128100*ln2*z2*z5 + 
    59257800*z3*z5)/2822400, H[0, -1, 1, -1, -1, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    575568000*ln2^2*s6 - 231840000*ln2*s7a + 163296000*ln2*s7b - 
    1014405525*s8a - 5166504000*s8b - 687456000*s8c - 582624000*s8d - 
    169344000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 3763200*ln2^6*z2 + 1715616000*s6*z2 - 
    40320000*li4half*z2^2 - 15792000*ln2^4*z2^2 - 224229600*ln2^2*z2^3 + 
    28575996*z2^4 + 967680000*li5half*z3 - 310464000*li4half*ln2*z3 - 
    21000000*ln2^5*z3 + 179424000*ln2^3*z2*z3 + 808894800*ln2*z2^2*z3 - 
    230170500*ln2^2*z3^2 + 837742500*z2*z3^2 - 382788000*ln2^3*z5 + 
    1487650500*ln2*z2*z5 - 1767055500*z3*z5 + 1260086625*ln2*z7)/28224000, 
 H[0, -1, 1, -1, -1, 0, -1, 1, 1] -> 
  (28224000*li4half^2 - 1128960000*li8half + 56448000*li6half*ln2^2 + 
    2352000*li4half*ln2^4 + 99400*ln2^8 + 102228000*ln2^2*s6 - 
    299849025*s8a - 2012640000*s8b - 179760000*s8c - 201264000*s8d - 
    77616000*li6half*z2 + 21168000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 88200*ln2^6*z2 + 562464000*s6*z2 - 
    56246400*li4half*z2^2 + 4624200*ln2^4*z2^2 + 22764000*ln2^2*z2^3 + 
    101059866*z2^4 + 379596000*li5half*z3 + 1764000*li4half*ln2*z3 - 
    3089800*ln2^5*z3 + 13111000*ln2^3*z2*z3 + 231787500*ln2*z2^2*z3 + 
    19876500*ln2^2*z3^2 + 218793750*z2*z3^2 + 479083500*ln2*z2*z5 - 
    202151250*z3*z5)/4704000, H[0, -1, 1, -1, -1, 0, -1, 0, 1] -> 
  (31584000*ln2^2*s6 + 33695550*s8a + 495264000*s8b - 63168000*s8c + 
    176064000*s8d + 169344000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    235200*ln2^6*z2 - 363888000*s6*z2 + 64848000*li4half*z2^2 + 
    3878000*ln2^4*z2^2 + 7341600*ln2^2*z2^3 - 95479892*z2^4 - 
    314496000*li5half*z3 - 56448000*li4half*ln2*z3 + 268800*ln2^5*z3 - 
    26208000*ln2^3*z2*z3 - 18232200*ln2*z2^2*z3 + 33579000*ln2^2*z3^2 - 
    8557500*z2*z3^2 + 173407500*ln2*z2*z5 + 334868625*z3*z5)/9408000, 
 H[0, -1, 1, -1, -1, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 - 4515840000*li8half - 1806336000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 7056000*li4half*ln2^4 - 214200*ln2^8 + 
    931056000*ln2^2*s6 - 413280000*ln2*s7a + 320544000*ln2*s7b - 
    1597940400*s8a - 10099824000*s8b - 1134336000*s8c - 897792000*s8d + 
    112896000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 4351200*ln2^6*z2 + 2853984000*s6*z2 - 
    92064000*li4half*z2^2 - 18536000*ln2^4*z2^2 - 212066400*ln2^2*z2^3 + 
    231486816*z2^4 + 1590960000*li5half*z3 - 303408000*li4half*ln2*z3 - 
    25900000*ln2^5*z3 + 206668000*ln2^3*z2*z3 + 1230205200*ln2*z2^2*z3 - 
    292257000*ln2^2*z3^2 + 1180252500*z2*z3^2 - 710892000*ln2^3*z5 + 
    2269134000*ln2*z2*z5 - 1034444250*z3*z5 + 3277960875*ln2*z7)/18816000, 
 H[0, -1, 1, -1, -1, -1, 1, 1, 1] -> 
  (127008000*li4half^2 + 282240000*li8half + 4704000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 41300*ln2^8 - 46368000*ln2^2*s6 + 101726100*s8a + 
    1143576000*s8b + 92736000*s8c + 111888000*s8d - 127008000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 19600*ln2^6*z2 - 354312000*s6*z2 - 
    28425600*li4half*z2^2 - 8710800*ln2^4*z2^2 + 30895200*ln2^2*z2^3 + 
    31601376*z2^4 - 357840000*li5half*z3 + 10584000*li4half*ln2*z3 + 
    4040400*ln2^5*z3 - 33348000*ln2^3*z2*z3 - 162477000*ln2*z2^2*z3 + 
    19372500*ln2^2*z3^2 - 135371250*z2*z3^2 + 34177500*ln2^3*z5 - 
    591097500*ln2*z2*z5 + 325355625*z3*z5)/28224000, 
 H[0, -1, 1, -1, -1, -1, 1, 0, 1] -> 
  (-79027200*li4half^2 + 270950400*li8half - 6585600*li4half*ln2^4 - 
    130480*ln2^8 + 11491200*ln2^2*s6 + 27186075*s8a + 83764800*s8b - 
    22982400*s8c + 28627200*s8d - 33868800*li6half*z2 - 
    62092800*li5half*ln2*z2 - 19756800*li4half*ln2^2*z2 - 540960*ln2^6*z2 - 
    74188800*s6*z2 + 30844800*li4half*z2^2 + 4719120*ln2^4*z2^2 - 
    18315360*ln2^2*z2^3 - 41973552*z2^4 + 61286400*li5half*z3 + 
    33868800*li4half*ln2*z3 + 900480*ln2^5*z3 - 14649600*ln2^3*z2*z3 + 
    7396200*ln2*z2^2*z3 + 27310500*ln2^2*z3^2 + 13973400*z2*z3^2 + 
    192515400*ln2*z2*z5 - 66583125*z3*z5)/11289600, 
 H[0, -1, 1, -1, -1, -1, 1, -1, 1] -> 
  (-7257600*li4half^2 - 40320000*li8half - 4838400*li7half*ln2 - 
    268800*li5half*ln2^3 - 403200*li4half*ln2^4 - 2000*ln2^8 + 
    1843200*ln2^2*s6 + 5011200*ln2*s7a + 4204800*ln2*s7b - 11069100*s8a - 
    77011200*s8b - 13708800*s8c - 2016000*s8d - 9676800*li6half*z2 - 
    18547200*li5half*ln2*z2 - 10886400*li4half*ln2^2*z2 - 337120*ln2^6*z2 + 
    7862400*s6*z2 + 2016000*li4half*z2^2 + 2237760*ln2^4*z2^2 + 
    1440*ln2^2*z2^3 + 134856*z2^4 + 20563200*li5half*z3 + 
    12096000*li4half*ln2*z3 + 297360*ln2^5*z3 - 5544000*ln2^3*z2*z3 + 
    6351120*ln2*z2^2*z3 + 11896200*ln2^2*z3^2 + 10521000*z2*z3^2 - 
    1171800*ln2^3*z5 + 54012600*ln2*z2*z5 - 2129400*z3*z5 + 14117175*ln2*z7)/
   1612800, H[0, -1, 1, -1, -1, -1, 0, 1, 1] -> 
  (72576000*ln2^2*s6 - 211673700*s8a - 1522584000*s8b - 145152000*s8c - 
    179424000*s8d + 522144000*li6half*z2 + 197568000*li5half*ln2*z2 - 
    921200*ln2^6*z2 + 701064000*s6*z2 - 23889600*li4half*z2^2 + 
    2826600*ln2^4*z2^2 - 86335200*ln2^2*z2^3 - 88144092*z2^4 + 
    157752000*li5half*z3 - 21168000*li4half*ln2*z3 - 2196600*ln2^5*z3 + 
    68712000*ln2^3*z2*z3 + 174774600*ln2*z2^2*z3 - 35154000*ln2^2*z3^2 + 
    162996750*z2*z3^2 + 676242000*ln2*z2*z5 - 391143375*z3*z5)/28224000, 
 H[0, -1, 1, -1, -1, -1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    109872000*ln2^2*s6 + 175362075*s8a + 1062432000*s8b + 219744000*s8c + 
    6048000*s8d - 56448000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 39200*ln2^6*z2 - 149688000*s6*z2 + 
    65419200*li4half*z2^2 - 11974200*ln2^4*z2^2 - 7963200*ln2^2*z2^3 + 
    51841512*z2^4 + 185472000*li5half*z3 + 84672000*li4half*ln2*z3 + 
    1982400*ln2^5*z3 + 15456000*ln2^3*z2*z3 - 120493800*ln2*z2^2*z3 - 
    67945500*ln2^2*z3^2 - 201190500*z2*z3^2 - 615573000*ln2*z2*z5 - 
    125677125*z3*z5)/28224000, H[0, -1, 1, -1, -1, -1, 0, -1, 1] -> 
  (-197568000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 - 
    16464000*li4half*ln2^4 - 477400*ln2^8 - 713664000*ln2^2*s6 - 
    86688000*ln2*s7a - 312480000*ln2*s7b + 1999308150*s8a + 13120128000*s8b + 
    1600704000*s8c + 798336000*s8d + 282240000*li6half*z2 - 
    310464000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 3057600*ln2^6*z2 - 
    2789136000*s6*z2 + 303609600*li4half*z2^2 - 31684800*ln2^4*z2^2 - 
    195703200*ln2^2*z2^3 - 527043456*z2^4 - 1243872000*li5half*z3 - 
    155232000*li4half*ln2*z3 + 3897600*ln2^5*z3 + 32172000*ln2^3*z2*z3 - 
    1124046000*ln2*z2^2*z3 - 481635000*ln2^2*z3^2 - 1482768000*z2*z3^2 + 
    218736000*ln2^3*z5 - 3333393000*ln2*z2*z5 - 729807750*z3*z5 - 
    2563556625*ln2*z7)/56448000, H[0, -1, 1, -1, -1, -1, -1, 1, 1] -> 
  (127008000*li4half^2 - 366912000*li8half - 14112000*li6half*ln2^2 - 
    4704000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 378000*ln2^8 - 
    81648000*ln2^2*s6 + 64329300*s8a - 122976000*s8b + 92736000*s8c - 
    43344000*s8d + 155232000*li6half*z2 + 211680000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 - 215600*ln2^6*z2 + 97272000*s6*z2 - 
    70761600*li4half*z2^2 - 1066800*ln2^4*z2^2 + 77666400*ln2^2*z2^3 + 
    17873928*z2^4 - 139104000*li5half*z3 + 541800*ln2^5*z3 + 
    19278000*ln2^3*z2*z3 - 74806200*ln2*z2^2*z3 - 43029000*ln2^2*z3^2 - 
    47171250*z2*z3^2 - 34177500*ln2^3*z5 - 278208000*ln2*z2*z5 + 
    239360625*z3*z5)/28224000, H[0, -1, 1, -1, -1, -1, -1, 0, 1] -> 
  (-84672000*li4half^2 - 1128960000*li8half - 7056000*li4half*ln2^4 - 
    175000*ln2^8 + 126000000*ln2^2*s6 - 181441575*s8a - 327096000*s8b - 
    252000000*s8c + 195552000*s8d + 56448000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 3920000*ln2^6*z2 - 
    419328000*s6*z2 + 85680000*li4half*z2^2 + 630000*ln2^4*z2^2 + 
    42789600*ln2^2*z2^3 - 30403152*z2^4 - 52416000*li5half*z3 - 
    169344000*li4half*ln2*z3 - 6619200*ln2^5*z3 - 16716000*ln2^3*z2*z3 + 
    150355800*ln2*z2^2*z3 + 109525500*ln2^2*z3^2 + 113368500*z2*z3^2 + 
    466263000*ln2*z2*z5 + 445480875*z3*z5)/56448000, 
 H[0, -1, 1, -1, -1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 + 903168000*li8half + 56448000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 
    469000*ln2^8 + 135072000*ln2^2*s6 - 70560000*ln2*s7a - 70560000*ln2*s7b - 
    3899700*s8a - 15120000*s8b + 12096000*s8c - 54432000*s8d + 
    169344000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 2861600*ln2^6*z2 + 
    130032000*s6*z2 + 56851200*li4half*z2^2 - 18328800*ln2^4*z2^2 - 
    153064800*ln2^2*z2^3 - 131426712*z2^4 + 80640000*li5half*z3 - 
    148176000*li4half*ln2*z3 - 5611200*ln2^5*z3 + 43764000*ln2^3*z2*z3 + 
    99514800*ln2*z2^2*z3 - 94752000*ln2^2*z3^2 + 2835000*z2*z3^2 + 
    68355000*ln2^3*z5 + 170982000*ln2*z2*z5 - 220405500*z3*z5 + 
    382843125*ln2*z7)/56448000, H[0, -1, 0, 1, 1, 1, 1, 1, 1] -> 
  (1008000*li4half^2 + 84000*li4half*ln2^4 + 1750*ln2^8 - 25725*s8a + 
    1008000*li6half*z2 + 1008000*li5half*ln2*z2 - 7000*ln2^6*z2 - 
    100800*li4half*z2^2 - 4200*ln2^4*z2^2 + 25200*ln2^2*z2^3 - 200196*z2^4 - 
    1764000*li5half*z3 + 14700*ln2^5*z3 - 88200*ln2*z2^2*z3 + 
    257250*z2*z3^2 + 438375*z3*z5)/672000, H[0, -1, 0, 1, 1, 1, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 1066275*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 705600*li4half*z2^2 - 
    533400*ln2^4*z2^2 + 176400*ln2^2*z2^3 + 1537236*z2^4 + 
    14112000*li5half*z3 - 117600*ln2^5*z3 + 1176000*ln2^3*z2*z3 - 
    617400*ln2*z2^2*z3 + 2535750*z2*z3^2 - 18183375*z3*z5)/4032000, 
 H[0, -1, 0, 1, 1, 1, 1, -1, 1] -> (28224000*li4half^2 - 1128960000*li8half - 
    225792000*li7half*ln2 + 2352000*li4half*ln2^4 + 65800*ln2^8 + 
    99792000*ln2^2*s6 + 56448000*ln2*s7a + 112896000*ln2*s7b - 
    448482825*s8a - 2622312000*s8b - 312480000*s8c - 195552000*s8d - 
    56448000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 1881600*ln2^6*z2 + 659232000*s6*z2 - 
    88502400*li4half*z2^2 + 6778800*ln2^4*z2^2 - 15170400*ln2^2*z2^3 + 
    82614528*z2^4 + 447552000*li5half*z3 + 197568000*li4half*ln2*z3 + 
    4502400*ln2^5*z3 - 3276000*ln2^3*z2*z3 + 210558600*ln2*z2^2*z3 + 
    114502500*ln2^2*z3^2 + 354312000*z2*z3^2 - 54684000*ln2^3*z5 + 
    675486000*ln2*z2*z5 - 381866625*z3*z5 + 954765000*ln2*z7)/56448000, 
 H[0, -1, 0, 1, 1, 1, 0, 1, 1] -> 
  (273525*s8a + 5040000*s6*z2 + 504000*li4half*z2^2 + 21000*ln2^4*z2^2 - 
    126000*ln2^2*z2^3 - 147436*z2^4 + 441000*ln2*z2^2*z3 - 5124000*z2*z3^2 - 
    9765000*ln2*z2*z5 + 11946375*z3*z5)/1344000, 
 H[0, -1, 0, 1, 1, 1, 0, 0, 1] -> (-739725*s8a + 1512000*li4half*z2^2 + 
    63000*ln2^4*z2^2 - 378000*ln2^2*z2^3 + 200924*z2^4 + 
    1323000*ln2*z2^2*z3 + 803250*z2*z3^2 - 5557125*z3*z5)/672000, 
 H[0, -1, 0, 1, 1, 1, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b + 3439275*s8a + 
    1176000*s8b + 8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 16128000*s6*z2 + 5241600*li4half*z2^2 - 
    285600*ln2^4*z2^2 - 2923200*ln2^2*z2^3 + 3144724*z2^4 + 
    16128000*li5half*z3 - 14112000*li4half*ln2*z3 - 722400*ln2^5*z3 + 
    4872000*ln2^3*z2*z3 + 9979200*ln2*z2^2*z3 - 11214000*ln2^2*z3^2 - 
    4688250*z2*z3^2 - 504000*ln2*z2*z5 - 19690125*z3*z5 - 58592625*ln2*z7)/
   1344000, H[0, -1, 0, 1, 1, 1, -1, 1, 1] -> 
  (-84672000*li4half^2 + 2257920000*li8half - 112896000*li6half*ln2^2 - 
    7056000*li4half*ln2^4 - 247800*ln2^8 - 412272000*ln2^2*s6 + 
    1102920525*s8a + 6730920000*s8b + 768096000*s8c + 614880000*s8d - 
    592704000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 - 2132928000*s6*z2 + 
    189302400*li4half*z2^2 - 8106000*ln2^4*z2^2 + 100195200*ln2^2*z2^3 - 
    73231776*z2^4 - 862848000*li5half*z3 + 7190400*ln2^5*z3 - 
    147756000*ln2^3*z2*z3 - 777029400*ln2*z2^2*z3 - 72733500*ln2^2*z3^2 - 
    872644500*z2*z3^2 - 2375730000*ln2*z2*z5 + 1145930625*z3*z5)/56448000, 
 H[0, -1, 0, 1, 1, 1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    58464000*ln2^2*s6 - 147431025*s8a - 562968000*s8b - 116928000*s8c + 
    4032000*s8d - 112896000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 
    1332800*ln2^6*z2 + 41328000*s6*z2 - 28828800*li4half*z2^2 + 
    4678800*ln2^4*z2^2 + 10684800*ln2^2*z2^3 + 13676256*z2^4 - 
    92736000*li5half*z3 + 772800*ln2^5*z3 - 7728000*ln2^3*z2*z3 + 
    77578200*ln2*z2^2*z3 + 16443000*ln2^2*z3^2 + 163658250*z2*z3^2 + 
    350784000*ln2*z2*z5 - 155318625*z3*z5)/28224000, 
 H[0, -1, 0, 1, 1, 1, -1, -1, 1] -> (-4838400*li4half^2 - 32256000*li8half + 
    6451200*li7half*ln2 + 3225600*li6half*ln2^2 - 403200*li4half*ln2^4 - 
    6000*ln2^8 + 6508800*ln2^2*s6 - 4492800*ln2*s7a - 9734400*ln2*s7b - 
    11459700*s8a - 80236800*s8b - 2419200*s8c - 13708800*s8d - 
    8064000*li6half*z2 + 3628800*li4half*ln2^2*z2 + 122080*ln2^6*z2 + 
    33465600*s6*z2 + 1290240*li4half*z2^2 - 40320*ln2^4*z2^2 - 
    2033280*ln2^2*z2^3 + 6672528*z2^4 + 27619200*li5half*z3 - 
    9878400*li4half*ln2*z3 - 641760*ln2^5*z3 + 6333600*ln2^3*z2*z3 + 
    19218960*ln2*z2^2*z3 - 6283800*ln2^2*z3^2 + 8334900*z2*z3^2 + 
    5077800*ln2^3*z5 + 36016200*ln2*z2*z5 - 32854500*z3*z5 - 72888525*ln2*z7)/
   1612800, H[0, -1, 0, 1, 1, 0, 1, 1, 1] -> 
  (924525*s8a - 2520000*s6*z2 - 535876*z2^4 + 1384250*z2*z3^2 + 
    4882500*ln2*z2*z5 - 1611750*z3*z5)/448000, 
 H[0, -1, 0, 1, 1, 0, 1, 0, 1] -> (11475*s8a - 42649*z2^4 - 114750*z2*z3^2 + 
    459000*z3*z5)/48000, H[0, -1, 0, 1, 1, 0, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    14112000*ln2^2*s6 + 24864000*ln2*s7a + 24864000*ln2*s7b - 4508700*s8a + 
    5712000*s8b - 21504000*s8c + 21504000*s8d - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 45360000*s6*z2 - 18278400*li4half*z2^2 + 
    1002400*ln2^4*z2^2 + 9458400*ln2^2*z2^3 - 9890142*z2^4 - 
    43008000*li5half*z3 + 49392000*li4half*ln2*z3 + 2416400*ln2^5*z3 - 
    15932000*ln2^3*z2*z3 - 30884700*ln2*z2^2*z3 + 34104000*ln2^2*z3^2 + 
    4809000*z2*z3^2 - 23409750*ln2*z2*z5 + 77448000*z3*z5 + 191134125*ln2*z7)/
   4704000, H[0, -1, 0, 1, 1, 0, 0, 1, 1] -> 
  (1400*s8a + 33600*s6*z2 + 1893*z2^4 - 22575*z2*z3^2 - 65100*ln2*z2*z5 + 
    48825*z3*z5)/22400, H[0, -1, 0, 1, 1, 0, 0, 0, 1] -> 
  (-18900*s8a + 26377*z2^4 + 12600*z2*z3^2 - 166950*z3*z5)/33600, 
 H[0, -1, 0, 1, 1, 0, 0, -1, 1] -> (-115200*li4half^2 - 9600*li4half*ln2^4 - 
    200*ln2^8 + 57600*ln2^2*s6 - 115200*ln2*s7a - 115200*ln2*s7b + 
    36450*s8a + 72000*s8b + 115200*s8c - 115200*s8d + 
    57600*li4half*ln2^2*z2 + 2400*ln2^6*z2 + 230400*s6*z2 + 
    74880*li4half*z2^2 - 4080*ln2^4*z2^2 - 41760*ln2^2*z2^3 + 64683*z2^4 + 
    230400*li5half*z3 - 201600*li4half*ln2*z3 - 10320*ln2^5*z3 + 
    69600*ln2^3*z2*z3 + 142560*ln2*z2^2*z3 - 160200*ln2^2*z3^2 - 
    38250*z2*z3^2 - 7200*ln2*z2*z5 - 424125*z3*z5 - 946575*ln2*z7)/28800, 
 H[0, -1, 0, 1, 1, 0, -1, 1, 1] -> 
  (672000*ln2^2*s6 - 343350*s8a - 5846400*s8b - 1344000*s8c + 1344000*s8d - 
    1747200*s6*z2 - 295680*li4half*z2^2 - 12320*ln2^4*z2^2 + 
    107520*ln2^2*z2^3 - 1138296*z2^4 - 2688000*li5half*z3 + 22400*ln2^5*z3 - 
    224000*ln2^3*z2*z3 - 953400*ln2*z2^2*z3 + 1218000*ln2^2*z3^2 + 
    1853250*z2*z3^2 + 9985500*ln2*z2*z5 + 3278625*z3*z5)/1881600, 
 H[0, -1, 0, 1, 1, 0, -1, 0, 1] -> 
  (-7489*z2^4 - 45150*z2*z3^2 + 129150*z3*z5)/67200, 
 H[0, -1, 0, 1, 1, 0, -1, -1, 1] -> (-1680000*ln2^2*s6 + 3360000*ln2*s7a + 
    3360000*ln2*s7b - 1935150*s8a + 5376000*s8b - 3360000*s8c + 3360000*s8d - 
    6720000*s6*z2 + 672000*li4half*z2^2 + 28000*ln2^4*z2^2 + 
    504000*ln2^2*z2^3 - 438384*z2^4 - 6720000*li5half*z3 + 56000*ln2^5*z3 - 
    560000*ln2^3*z2*z3 - 1659000*ln2*z2^2*z3 + 2100000*ln2^2*z3^2 + 
    2997750*z2*z3^2 + 210000*ln2*z2*z5 - 191625*z3*z5 + 12773250*ln2*z7)/
   4704000, H[0, -1, 0, 1, 1, -1, 1, 1, 1] -> 
  (-254016000*li4half^2 - 2257920000*li8half - 37632000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 183400*ln2^8 + 494928000*ln2^2*s6 - 
    1237497975*s8a - 8069544000*s8b - 989856000*s8c - 675360000*s8d + 
    1439424000*li6half*z2 + 366912000*li5half*ln2*z2 - 2626400*ln2^6*z2 + 
    2754864000*s6*z2 - 67334400*li4half*z2^2 + 37648800*ln2^4*z2^2 - 
    212032800*ln2^2*z2^3 - 150586776*z2^4 + 1273104000*li5half*z3 - 
    10609200*ln2^5*z3 + 132552000*ln2^3*z2*z3 + 1044754200*ln2*z2^2*z3 + 
    139198500*ln2^2*z3^2 + 882409500*z2*z3^2 + 18228000*ln2^3*z5 + 
    3284001000*ln2*z2*z5 - 1285696125*z3*z5)/56448000, 
 H[0, -1, 0, 1, 1, -1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    27216000*ln2^2*s6 + 57329475*s8a + 264768000*s8b + 54432000*s8c + 
    2016000*s8d + 28224000*li6half*z2 - 9408000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 27552000*s6*z2 - 
    3124800*li4half*z2^2 + 261800*ln2^4*z2^2 + 1520400*ln2^2*z2^3 + 
    4978536*z2^4 - 58128000*li5half*z3 + 484400*ln2^5*z3 - 
    4844000*ln2^3*z2*z3 - 56834400*ln2*z2^2*z3 - 7654500*ln2^2*z3^2 - 
    58464000*z2*z3^2 - 158739000*ln2*z2*z5 + 97720875*z3*z5)/4704000, 
 H[0, -1, 0, 1, 1, -1, 1, -1, 1] -> (84672000*li4half^2 + 846720000*li8half + 
    56448000*li7half*ln2 + 9408000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    78400*ln2^8 - 164304000*ln2^2*s6 + 61488000*ln2*s7a + 68544000*ln2*s7b + 
    373238775*s8a + 2348388000*s8b + 205632000*s8c + 274176000*s8d + 
    98784000*li6half*z2 + 119952000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 450800*ln2^6*z2 - 772380000*s6*z2 + 
    856800*li4half*z2^2 - 9607500*ln2^4*z2^2 + 59648400*ln2^2*z2^3 - 
    99528966*z2^4 - 633024000*li5half*z3 + 37044000*li4half*ln2*z3 + 
    6818700*ln2^5*z3 - 70833000*ln2^3*z2*z3 - 396200700*ln2*z2^2*z3 + 
    47943000*ln2^2*z3^2 - 283326750*z2*z3^2 - 11392500*ln2^3*z5 - 
    955946250*ln2*z2*z5 + 675289125*z3*z5 + 483091875*ln2*z7)/14112000, 
 H[0, -1, 0, 1, 1, -1, 0, 1, 1] -> (20832000*ln2^2*s6 - 28180950*s8a + 
    80304000*s8b - 41664000*s8c + 41664000*s8d - 451584000*li6half*z2 - 
    150528000*li5half*ln2*z2 + 627200*ln2^6*z2 - 302064000*s6*z2 + 
    11155200*li4half*z2^2 - 2671200*ln2^4*z2^2 + 17388000*ln2^2*z2^3 + 
    47009248*z2^4 + 62496000*li5half*z3 - 520800*ln2^5*z3 + 
    5208000*ln2^3*z2*z3 + 48295800*ln2*z2^2*z3 + 5859000*ln2^2*z3^2 + 
    97140750*z2*z3^2 + 177397500*ln2*z2*z5 - 79723875*z3*z5)/9408000, 
 H[0, -1, 0, 1, 1, -1, 0, 0, 1] -> (-6048000*ln2^2*s6 + 3321675*s8a - 
    48048000*s8b + 12096000*s8c - 12096000*s8d + 32424000*s6*z2 - 
    13003200*li4half*z2^2 - 541800*ln2^4*z2^2 + 7106400*ln2^2*z2^3 + 
    7774588*z2^4 - 18144000*li5half*z3 + 151200*ln2^5*z3 - 
    1512000*ln2^3*z2*z3 - 6766200*ln2*z2^2*z3 - 1701000*ln2^2*z3^2 - 
    5654250*z2*z3^2 - 36288000*ln2*z2*z5 + 20986875*z3*z5)/4704000, 
 H[0, -1, 0, 1, 1, -1, 0, -1, 1] -> (-11760000*ln2^2*s6 - 6384000*ln2*s7a - 
    15792000*ln2*s7b + 28159950*s8a + 105168000*s8b + 36288000*s8c - 
    8064000*s8d - 14112000*li6half*z2 - 4704000*li5half*ln2*z2 + 
    19600*ln2^6*z2 - 336000*s6*z2 - 907200*li4half*z2^2 - 135800*ln2^4*z2^2 + 
    3964800*ln2^2*z2^3 + 13029032*z2^4 + 18480000*li5half*z3 - 
    154000*ln2^5*z3 + 1540000*ln2^3*z2*z3 - 6438600*ln2*z2^2*z3 - 
    13083000*ln2^2*z3^2 - 26334000*z2*z3^2 + 9114000*ln2^3*z5 - 
    59902500*ln2*z2*z5 - 12358500*z3*z5 - 114027375*ln2*z7)/2352000, 
 H[0, -1, 0, 1, 1, -1, -1, 1, 1] -> 
  (11289600*li6half*ln2^2 + 3763200*li5half*ln2^3 - 15680*ln2^8 + 
    13204800*ln2^2*s6 - 207900*s8a + 60883200*s8b - 8064000*s8c + 
    19353600*s8d - 59270400*li6half*z2 - 33868800*li5half*ln2*z2 + 
    278320*ln2^6*z2 - 70459200*s6*z2 + 3870720*li4half*z2^2 - 
    2226000*ln2^4*z2^2 - 1794240*ln2^2*z2^3 + 2944044*z2^4 - 
    4838400*li5half*z3 + 40320*ln2^5*z3 - 403200*ln2^3*z2*z3 + 
    3046680*ln2*z2^2*z3 + 626850*ln2^2*z3^2 + 9355500*z2*z3^2 - 
    1822800*ln2^3*z5 + 35437500*ln2*z2*z5 + 9892575*z3*z5)/5644800, 
 H[0, -1, 0, 1, 1, -1, -1, 0, 1] -> 
  (12096000*ln2^2*s6 - 68703075*s8a - 527184000*s8b - 24192000*s8c - 
    88704000*s8d - 28224000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    274400*ln2^6*z2 + 247968000*s6*z2 - 19857600*li4half*z2^2 + 
    2112600*ln2^4*z2^2 + 4662000*ln2^2*z2^3 + 21373038*z2^4 + 
    1008000*li5half*z3 - 8400*ln2^5*z3 + 84000*ln2^3*z2*z3 + 
    18383400*ln2*z2^2*z3 + 3402000*ln2^2*z3^2 + 48462750*z2*z3^2 + 
    58905000*ln2*z2*z5 - 49195125*z3*z5)/14112000, 
 H[0, -1, 0, 1, 1, -1, -1, -1, 1] -> 
  (-161280000*li8half - 32256000*li7half*ln2 - 16128000*li6half*ln2^2 - 
    5376000*li5half*ln2^3 + 24800*ln2^8 - 22464000*ln2^2*s6 - 
    1728000*ln2*s7a - 19872000*ln2*s7b + 1460025*s8a - 97272000*s8b + 
    22176000*s8c - 22176000*s8d - 56448000*li6half*z2 - 212800*ln2^6*z2 + 
    33264000*s6*z2 - 3830400*li4half*z2^2 + 2730000*ln2^4*z2^2 + 
    16372800*ln2^2*z2^3 + 29746944*z2^4 + 47376000*li5half*z3 - 
    394800*ln2^5*z3 + 5208000*ln2^3*z2*z3 + 13789800*ln2*z2^2*z3 - 
    4554000*ln2^2*z3^2 - 3654000*z2*z3^2 + 20181000*ln2^3*z5 - 
    7587000*ln2*z2*z5 - 1740375*z3*z5 - 125067375*ln2*z7)/8064000, 
 H[0, -1, 0, 1, 0, 1, 1, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 2248575*s8a - 
    8064000*li6half*z2 - 8064000*li5half*ln2*z2 + 56000*ln2^6*z2 + 
    4536000*s6*z2 + 806400*li4half*z2^2 + 33600*ln2^4*z2^2 - 
    201600*ln2^2*z2^3 + 2630668*z2^4 + 14112000*li5half*z3 - 
    117600*ln2^5*z3 + 705600*ln2*z2^2*z3 - 2835000*z2*z3^2 - 
    8788500*ln2*z2*z5 - 3591000*z3*z5)/1344000, 
 H[0, -1, 0, 1, 0, 1, 1, 0, 1] -> (230400*li4half^2 + 19200*li4half*ln2^4 + 
    400*ln2^8 - 29250*s8a - 115200*li4half*ln2^2*z2 - 4800*ln2^6*z2 + 
    20160*li4half*z2^2 + 15240*ln2^4*z2^2 - 5040*ln2^2*z2^3 + 20751*z2^4 - 
    403200*li5half*z3 + 3360*ln2^5*z3 - 33600*ln2^3*z2*z3 + 
    17640*ln2*z2^2*z3 + 35550*z2*z3^2 - 16875*z3*z5)/28800, 
 H[0, -1, 0, 1, 0, 1, 1, -1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    223776000*ln2^2*s6 - 318528000*ln2*s7a - 318528000*ln2*s7b + 
    62722800*s8a + 137088000*s8b + 189504000*s8c - 189504000*s8d + 
    169344000*li5half*ln2*z2 + 197568000*li4half*ln2^2*z2 + 
    6820800*ln2^6*z2 + 329616000*s6*z2 + 192124800*li4half*z2^2 - 
    13162800*ln2^4*z2^2 - 88250400*ln2^2*z2^3 + 84600528*z2^4 + 
    266112000*li5half*z3 - 691488000*li4half*ln2*z3 - 31029600*ln2^5*z3 + 
    195048000*ln2^3*z2*z3 + 428072400*ln2*z2^2*z3 - 424809000*ln2^2*z3^2 - 
    57235500*z2*z3^2 + 308290500*ln2*z2*z5 - 616581000*z3*z5 - 
    2503265625*ln2*z7)/28224000, H[0, -1, 0, 1, 0, 1, 0, 1, 1] -> 
  (-32725*s8a - 672000*s6*z2 - 168000*li4half*z2^2 - 7000*ln2^4*z2^2 + 
    42000*ln2^2*z2^3 + 36359*z2^4 - 147000*ln2*z2^2*z3 + 742000*z2*z3^2 + 
    1302000*ln2*z2*z5 - 1574125*z3*z5)/112000, 
 H[0, -1, 0, 1, 0, 1, 0, 0, 1] -> (157675*s8a - 504000*li4half*z2^2 - 
    21000*ln2^4*z2^2 + 126000*ln2^2*z2^3 - 14627*z2^4 - 441000*ln2*z2^2*z3 - 
    78750*z2*z3^2 + 1271375*z3*z5)/56000, H[0, -1, 0, 1, 0, 1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 3141600*s8a - 
    2688000*s8b - 8064000*s8c + 8064000*s8d - 4032000*li4half*ln2^2*z2 - 
    168000*ln2^6*z2 - 16128000*s6*z2 - 5241600*li4half*z2^2 + 
    285600*ln2^4*z2^2 + 2923200*ln2^2*z2^3 - 3642801*z2^4 - 
    16128000*li5half*z3 + 14112000*li4half*ln2*z3 + 722400*ln2^5*z3 - 
    4872000*ln2^3*z2*z3 - 9979200*ln2*z2^2*z3 + 11214000*ln2^2*z3^2 + 
    4320750*z2*z3^2 + 504000*ln2*z2*z5 + 22596000*z3*z5 + 61593000*ln2*z7)/
   336000, H[0, -1, 0, 1, 0, 1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    1008000*ln2^2*s6 + 1573425*s8a - 29568000*s8b + 2016000*s8c - 
    2016000*s8d + 112896000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 44016000*s6*z2 - 
    18278400*li4half*z2^2 - 3701600*ln2^4*z2^2 - 2234400*ln2^2*z2^3 - 
    14342072*z2^4 - 57120000*li5half*z3 + 476000*ln2^5*z3 + 
    11704000*ln2^3*z2*z3 - 12873000*ln2*z2^2*z3 - 10059000*ln2^2*z3^2 - 
    3570000*z2*z3^2 - 6489000*ln2*z2*z5 + 27118875*z3*z5)/4704000, 
 H[0, -1, 0, 1, 0, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    4032000*ln2^2*s6 + 5629050*s8a + 7056000*s8b + 8064000*s8c - 
    8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 
    14112000*s6*z2 + 2016000*li4half*z2^2 - 420000*ln2^4*z2^2 - 
    705600*ln2^2*z2^3 + 2463693*z2^4 + 16128000*li5half*z3 - 
    134400*ln2^5*z3 + 1344000*ln2^3*z2*z3 - 4863600*ln2*z2^2*z3 - 
    1134000*ln2^2*z3^2 - 7638750*z2*z3^2 - 24192000*ln2*z2*z5 - 
    3622500*z3*z5)/1008000, H[0, -1, 0, 1, 0, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    36288000*ln2^2*s6 + 62496000*ln2*s7a + 62496000*ln2*s7b - 11498025*s8a - 
    23856000*s8b - 52416000*s8c + 52416000*s8d - 42336000*li4half*ln2^2*z2 - 
    1764000*ln2^6*z2 - 110712000*s6*z2 - 37262400*li4half*z2^2 + 
    5503400*ln2^4*z2^2 + 24939600*ln2^2*z2^3 - 30527314*z2^4 - 
    107184000*li5half*z3 + 115248000*li4half*ln2*z3 + 5695200*ln2^5*z3 - 
    50092000*ln2^3*z2*z3 - 83168400*ln2*z2^2*z3 + 95266500*ln2^2*z3^2 + 
    18915750*z2*z3^2 - 26334000*ln2*z2*z5 + 198077250*z3*z5 + 
    512016750*ln2*z7)/4704000, H[0, -1, 0, 1, 0, 0, 1, 1, 1] -> 
  (60375*s8a - 100800*s6*z2 - 27644*z2^4 + 45500*z2*z3^2 + 195300*ln2*z2*z5 - 
    28700*z3*z5)/44800, H[0, -1, 0, 1, 0, 0, 1, 0, 1] -> 
  (-66325*s8a + 26913*z2^4 + 31500*z2*z3^2 - 168000*z3*z5)/56000, 
 H[0, -1, 0, 1, 0, 0, 1, -1, 1] -> (-2016000*ln2*s7a - 2016000*ln2*s7b + 
    521675*s8a - 4256000*s8b + 4032000*s8c - 4032000*s8d + 10416000*s6*z2 - 
    806400*li4half*z2^2 - 33600*ln2^4*z2^2 - 252000*ln2^2*z2^3 + 
    2352253*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 + 672000*ln2^3*z2*z3 + 
    1764000*ln2*z2^2*z3 - 3087000*ln2^2*z3^2 - 2472750*z2*z3^2 - 
    9297750*ln2*z2*z5 - 9211125*z3*z5 - 10619875*ln2*z7)/784000, 
 H[0, -1, 0, 1, 0, 0, 0, 1, 1] -> (-1260*s8a + 13440*s6*z2 + 1511*z2^4 - 
    9450*z2*z3^2 - 26040*ln2*z2*z5 + 17430*z3*z5)/2240, 
 H[0, -1, 0, 1, 0, 0, 0, 0, 1] -> (7253*z2^4 - 31500*z3*z5)/5600, 
 H[0, -1, 0, 1, 0, 0, 0, -1, 1] -> (58275*s8a + 392000*s8b + 50294*z2^4 - 
    31500*z2*z3^2 - 160125*z3*z5 - 777875*ln2*z7)/56000, 
 H[0, -1, 0, 1, 0, 0, -1, 1, 1] -> (2016000*ln2^2*s6 - 2452275*s8a + 
    5040000*s8b - 4032000*s8c + 4032000*s8d - 1008000*s6*z2 + 
    806400*li4half*z2^2 + 33600*ln2^4*z2^2 - 100800*ln2^2*z2^3 - 
    842864*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 - 
    1537200*ln2*z2^2*z3 + 3654000*ln2^2*z3^2 - 3591000*z2*z3^2 - 
    4441500*ln2*z2*z5 + 18821250*z3*z5)/1568000, 
 H[0, -1, 0, 1, 0, 0, -1, 0, 1] -> 
  (-3*(6300*s8a - 13467*z2^4 - 31500*z2*z3^2 + 134750*z3*z5))/28000, 
 H[0, -1, 0, 1, 0, 0, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    10080000*ln2^2*s6 - 20160000*ln2*s7a - 20160000*ln2*s7b - 16271325*s8a + 
    122976000*s8b + 20160000*s8c - 20160000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 40320000*s6*z2 + 43948800*li4half*z2^2 - 
    1696800*ln2^4*z2^2 - 15019200*ln2^2*z2^3 + 39109068*z2^4 + 
    40320000*li5half*z3 - 98784000*li4half*ln2*z3 - 4452000*ln2^5*z3 + 
    28056000*ln2^3*z2*z3 + 51937200*ln2*z2^2*z3 - 55818000*ln2^2*z3^2 + 
    24790500*z2*z3^2 - 1260000*ln2*z2*z5 - 282247875*z3*z5 - 
    384678000*ln2*z7)/14112000, H[0, -1, 0, 1, 0, -1, 1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    19488000*ln2^2*s6 + 12937575*s8a + 60648000*s8b + 38976000*s8c - 
    38976000*s8d + 56448000*li5half*ln2*z2 - 470400*ln2^6*z2 + 
    70896000*s6*z2 - 24259200*li4half*z2^2 + 165200*ln2^4*z2^2 + 
    11844000*ln2^2*z2^3 + 28425752*z2^4 - 58464000*li5half*z3 + 
    487200*ln2^5*z3 - 4872000*ln2^3*z2*z3 - 43117200*ln2*z2^2*z3 - 
    5481000*ln2^2*z3^2 - 20301750*z2*z3^2 - 205789500*ln2*z2*z5 + 
    3465000*z3*z5)/9408000, H[0, -1, 0, 1, 0, -1, 1, 0, 1] -> 
  (-1152000*li4half^2 - 96000*li4half*ln2^4 - 2000*ln2^8 + 576000*ln2^2*s6 - 
    634050*s8a - 1008000*s8b - 1152000*s8c + 1152000*s8d + 
    576000*li4half*ln2^2*z2 + 24000*ln2^6*z2 - 2016000*s6*z2 + 
    374400*li4half*z2^2 - 56400*ln2^4*z2^2 - 64800*ln2^2*z2^3 - 503013*z2^4 + 
    1728000*li5half*z3 - 14400*ln2^5*z3 + 144000*ln2^3*z2*z3 + 
    1274400*ln2*z2^2*z3 + 162000*ln2^2*z3^2 + 751500*z2*z3^2 + 
    3456000*ln2*z2*z5 - 1561500*z3*z5)/144000, 
 H[0, -1, 0, 1, 0, -1, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    15120000*ln2^2*s6 - 33264000*ln2*s7a - 33264000*ln2*s7b + 4695075*s8a - 
    38304000*s8b + 36288000*s8c - 36288000*s8d - 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 117600*ln2^6*z2 + 90216000*s6*z2 + 
    28728000*li4half*z2^2 + 1197000*ln2^4*z2^2 - 24040800*ln2^2*z2^3 + 
    16546602*z2^4 + 129024000*li5half*z3 - 24696000*li4half*ln2*z3 - 
    2104200*ln2^5*z3 + 16926000*ln2^3*z2*z3 + 52063200*ln2*z2^2*z3 - 
    46683000*ln2^2*z3^2 - 16962750*z2*z3^2 + 70213500*ln2*z2*z5 - 
    155885625*z3*z5 - 244069875*ln2*z7)/7056000, 
 H[0, -1, 0, 1, 0, -1, 0, 1, 1] -> z2^4/4480, 
 H[0, -1, 0, 1, 0, -1, 0, 0, 1] -> (-1693*z2^4 - 3150*z2*z3^2 + 16800*z3*z5)/
   5600, H[0, -1, 0, 1, 0, -1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 2195550*s8a - 
    8064000*s8c + 8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    16128000*s6*z2 - 5241600*li4half*z2^2 + 285600*ln2^4*z2^2 + 
    2923200*ln2^2*z2^3 - 3640383*z2^4 - 16128000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 722400*ln2^5*z3 - 4872000*ln2^3*z2*z3 - 
    9979200*ln2*z2^2*z3 + 11214000*ln2^2*z3^2 + 3181500*z2*z3^2 + 
    504000*ln2*z2*z5 + 24806250*z3*z5 + 56259000*ln2*z7)/1008000, 
 H[0, -1, 0, 1, 0, -1, -1, 1, 1] -> 
  (6048000*ln2^2*s6 - 7356825*s8a + 15120000*s8b - 12096000*s8c + 
    12096000*s8d - 84672000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    117600*ln2^6*z2 - 61824000*s6*z2 + 3124800*li4half*z2^2 - 
    457800*ln2^4*z2^2 + 2898000*ln2^2*z2^3 + 6839018*z2^4 + 
    6384000*li5half*z3 - 53200*ln2^5*z3 + 532000*ln2^3*z2*z3 + 
    8383200*ln2*z2^2*z3 + 4273500*ln2^2*z3^2 + 18921000*z2*z3^2 + 
    43564500*ln2*z2*z5 - 5166000*z3*z5)/4704000, 
 H[0, -1, 0, 1, 0, -1, -1, 0, 1] -> 
  (-37800*s8a + 126187*z2^4 + 304500*z2*z3^2 - 1291500*z3*z5)/336000, 
 H[0, -1, 0, 1, 0, -1, -1, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    7660800*ln2^2*s6 + 15321600*ln2*s7a + 15321600*ln2*s7b - 6663825*s8a + 
    12801600*s8b - 15321600*s8c + 15321600*s8d - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 - 30643200*s6*z2 - 6531840*li4half*z2^2 + 
    433440*ln2^4*z2^2 + 4697280*ln2^2*z2^3 - 3728544*z2^4 - 
    30643200*li5half*z3 + 19756800*li4half*ln2*z3 + 1078560*ln2^5*z3 - 
    7492800*ln2^3*z2*z3 - 15961680*ln2*z2^2*z3 + 18219600*ln2^2*z3^2 + 
    9683100*z2*z3^2 + 957600*ln2*z2*z5 + 23308425*z3*z5 + 81488925*ln2*z7)/
   5644800, H[0, -1, 0, 1, -1, 1, 1, 1, 1] -> 
  (122304000*li4half^2 + 376320000*li8half + 7056000*li4half*ln2^4 + 
    91000*ln2^8 - 140112000*ln2^2*s6 + 270516225*s8a + 1587768000*s8b + 
    280224000*s8c + 30240000*s8d - 432768000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 156800*ln2^6*z2 - 373296000*s6*z2 - 
    49459200*li4half*z2^2 - 8372000*ln2^4*z2^2 + 75381600*ln2^2*z2^3 + 
    115209216*z2^4 - 236880000*li5half*z3 + 1974000*ln2^5*z3 - 
    35028000*ln2^3*z2*z3 - 300825000*ln2*z2^2*z3 - 39406500*ln2^2*z3^2 - 
    213475500*z2*z3^2 - 1045737000*ln2*z2*z5 + 274782375*z3*z5)/18816000, 
 H[0, -1, 0, 1, -1, 1, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    132048000*ln2^2*s6 - 230417775*s8a - 830592000*s8b - 264096000*s8c + 
    94752000*s8d - 84672000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 
    1646400*ln2^6*z2 - 118944000*s6*z2 + 57052800*li4half*z2^2 + 
    613200*ln2^4*z2^2 - 21092400*ln2^2*z2^3 - 63246294*z2^4 + 
    226800000*li5half*z3 + 7056000*li4half*ln2*z3 - 1596000*ln2^5*z3 + 
    17136000*ln2^3*z2*z3 + 303181200*ln2*z2^2*z3 + 37138500*ln2^2*z3^2 + 
    233131500*z2*z3^2 + 792288000*ln2*z2*z5 - 383142375*z3*z5)/14112000, 
 H[0, -1, 0, 1, -1, 1, 1, -1, 1] -> 
  (-150528000*li4half^2 + 75264000*li7half*ln2 - 9408000*li4half*ln2^4 - 
    145600*ln2^8 + 102144000*ln2^2*s6 - 79968000*ln2*s7a - 98784000*ln2*s7b - 
    113304450*s8a - 591360000*s8b - 44352000*s8c - 96768000*s8d - 
    56448000*li6half*z2 - 310464000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 1489600*ln2^6*z2 + 261744000*s6*z2 + 
    77078400*li4half*z2^2 + 13090000*ln2^4*z2^2 - 83848800*ln2^2*z2^3 + 
    30224568*z2^4 + 400512000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    5395600*ln2^5*z3 + 45724000*ln2^3*z2*z3 + 270858000*ln2*z2^2*z3 - 
    93723000*ln2^2*z3^2 + 92358000*z2*z3^2 + 18228000*ln2^3*z5 + 
    796467000*ln2*z2*z5 - 601760250*z3*z5 - 1008585375*ln2*z7)/18816000, 
 H[0, -1, 0, 1, -1, 1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    48384000*ln2^2*s6 + 43783425*s8a - 135072000*s8b + 96768000*s8c - 
    96768000*s8d + 1185408000*li6half*z2 + 338688000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 + 772128000*s6*z2 - 
    13708800*li4half*z2^2 + 8248800*ln2^4*z2^2 - 56397600*ln2^2*z2^3 - 
    108928992*z2^4 - 173376000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    856800*ln2^5*z3 - 10920000*ln2^3*z2*z3 - 130246200*ln2*z2^2*z3 - 
    13608000*ln2^2*z3^2 - 223618500*z2*z3^2 - 454356000*ln2*z2*z5 + 
    93862125*z3*z5)/14112000, H[0, -1, 0, 1, -1, 1, 0, 0, 1] -> 
  (6048000*ln2^2*s6 + 2040150*s8a + 37464000*s8b - 12096000*s8c + 
    12096000*s8d - 30072000*s6*z2 - 4401600*li4half*z2^2 - 
    183400*ln2^4*z2^2 - 2755200*ln2^2*z2^3 - 6744181*z2^4 + 
    4032000*li5half*z3 - 7056000*li4half*ln2*z3 - 327600*ln2^5*z3 + 
    2100000*ln2^3*z2*z3 - 6816600*ln2*z2^2*z3 + 1701000*ln2^2*z3^2 + 
    6646500*z2*z3^2 + 36288000*ln2*z2*z5 + 18170250*z3*z5)/2352000, 
 H[0, -1, 0, 1, -1, 1, 0, -1, 1] -> (3360000*ln2^2*s6 + 2688000*ln2*s7a + 
    5376000*ln2*s7b - 8992200*s8a - 30912000*s8b - 12096000*s8c + 
    4032000*s8d + 2016000*li6half*z2 - 336000*li4half*ln2^2*z2 - 
    11200*ln2^6*z2 - 4116000*s6*z2 + 537600*li4half*z2^2 + 64400*ln2^4*z2^2 - 
    1008000*ln2^2*z2^3 - 4426432*z2^4 - 8064000*li5half*z3 + 
    336000*li4half*ln2*z3 + 81200*ln2^5*z3 - 756000*ln2^3*z2*z3 + 
    1226400*ln2*z2^2*z3 + 5061000*ln2^2*z3^2 + 9011625*z2*z3^2 - 
    2604000*ln2^3*z5 + 20412000*ln2*z2*z5 + 6951000*z3*z5 + 41464500*ln2*z7)/
   336000, H[0, -1, 0, 1, -1, 1, -1, 1, 1] -> 
  (169344000*li4half^2 - 1693440000*li8half + 56448000*li6half*ln2^2 + 
    18816000*li4half*ln2^4 + 526400*ln2^8 + 262080000*ln2^2*s6 - 
    804876975*s8a - 5035464000*s8b - 538272000*s8c - 491904000*s8d + 
    395136000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 1097600*ln2^6*z2 + 1618848000*s6*z2 - 
    194342400*li4half*z2^2 + 3192000*ln2^4*z2^2 - 45309600*ln2^2*z2^3 + 
    76760064*z2^4 + 616896000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    3964800*ln2^5*z3 + 136080000*ln2^3*z2*z3 + 571296600*ln2*z2^2*z3 + 
    11970000*ln2^2*z3^2 + 645813000*z2*z3^2 + 1609524000*ln2*z2*z5 - 
    836868375*z3*z5)/28224000, H[0, -1, 0, 1, -1, 1, -1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    7660800*ln2^2*s6 + 21977550*s8a + 104328000*s8b + 15321600*s8c + 
    7257600*s8d + 14112000*li6half*z2 + 7056000*li4half*ln2^2*z2 + 
    313600*ln2^6*z2 - 23335200*s6*z2 + 6672960*li4half*z2^2 - 
    1074360*ln2^4*z2^2 - 735840*ln2^2*z2^3 - 2896578*z2^4 + 
    2419200*li5half*z3 - 5644800*li4half*ln2*z3 - 255360*ln2^5*z3 + 
    1612800*ln2^3*z2*z3 - 14074200*ln2*z2^2*z3 - 2154600*ln2^2*z3^2 - 
    21953925*z2*z3^2 - 45964800*ln2*z2*z5 + 27792450*z3*z5)/1411200, 
 H[0, -1, 0, 1, -1, 1, -1, -1, 1] -> 
  (-112896000*li4half^2 + 2257920000*li8half - 225792000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 18816000*li4half*ln2^4 - 644000*ln2^8 - 
    269136000*ln2^2*s6 + 231840000*ln2*s7a + 415296000*ln2*s7b + 
    893250225*s8a + 5939640000*s8b + 102816000*s8c + 1139040000*s8d + 
    508032000*li6half*z2 - 56448000*li4half*ln2^2*z2 + 548800*ln2^6*z2 - 
    2849616000*s6*z2 + 288489600*li4half*z2^2 - 5384400*ln2^4*z2^2 + 
    48333600*ln2^2*z2^3 - 669973464*z2^4 - 2313360000*li5half*z3 - 
    56448000*li4half*ln2*z3 + 16926000*ln2^5*z3 - 316260000*ln2^3*z2*z3 - 
    1141245000*ln2*z2^2*z3 + 402790500*ln2^2*z3^2 - 617116500*z2*z3^2 - 
    177723000*ln2^3*z5 - 1534113000*ln2*z2*z5 + 3187303875*z3*z5 + 
    4062618000*ln2*z7)/56448000, H[0, -1, 0, 1, -1, 0, 1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 17531325*s8a - 35784000*s8b - 56448000*s8c + 
    56448000*s8d - 145152000*li6half*z2 - 96768000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 772800*ln2^6*z2 - 193536000*s6*z2 + 
    29836800*li4half*z2^2 - 1276800*ln2^4*z2^2 - 6048000*ln2^2*z2^3 - 
    18568692*z2^4 + 88704000*li5half*z3 + 2016000*li4half*ln2*z3 - 
    655200*ln2^5*z3 + 6888000*ln2^3*z2*z3 + 63302400*ln2*z2^2*z3 + 
    7938000*ln2^2*z3^2 + 67551750*z2*z3^2 + 307030500*ln2*z2*z5 - 
    63409500*z3*z5)/4032000, H[0, -1, 0, 1, -1, 0, 1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 3141600*s8a + 2688000*s8b + 8064000*s8c - 
    8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    15456000*s6*z2 - 4099200*li4half*z2^2 + 333200*ln2^4*z2^2 + 
    823200*ln2^2*z2^3 + 4372951*z2^4 - 8064000*li5half*z3 + 
    2016000*li4half*ln2*z3 + 151200*ln2^5*z3 - 1176000*ln2^3*z2*z3 - 
    8064000*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 4630500*z2*z3^2 - 
    24192000*ln2*z2*z5 + 4457250*z3*z5)/336000, 
 H[0, -1, 0, 1, -1, 0, 1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    95760000*ln2^2*s6 + 5040000*ln2*s7a - 51408000*ln2*s7b + 157495275*s8a + 
    644616000*s8b + 181440000*s8c - 12096000*s8d + 254016000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 823200*ln2^6*z2 - 60480000*s6*z2 - 
    65923200*li4half*z2^2 - 6274800*ln2^4*z2^2 + 76104000*ln2^2*z2^3 + 
    49880484*z2^4 - 145152000*li5half*z3 - 3528000*li4half*ln2*z3 + 
    1062600*ln2^5*z3 - 11214000*ln2^3*z2*z3 - 133812000*ln2*z2^2*z3 - 
    19215000*ln2^2*z3^2 - 149640750*z2*z3^2 + 54684000*ln2^3*z5 - 
    681943500*ln2*z2*z5 + 217231875*z3*z5 - 205750125*ln2*z7)/7056000, 
 H[0, -1, 0, 1, -1, 0, 0, 1, 1] -> (-576000*li4half^2 - 48000*li4half*ln2^4 - 
    1000*ln2^8 + 288000*ln2^2*s6 - 230850*s8a + 1152000*s8b - 576000*s8c + 
    576000*s8d + 288000*li4half*ln2^2*z2 + 12000*ln2^6*z2 - 720000*s6*z2 + 
    417600*li4half*z2^2 - 18600*ln2^4*z2^2 - 90000*ln2^2*z2^3 - 199431*z2^4 - 
    432000*li4half*ln2*z3 - 18000*ln2^5*z3 + 108000*ln2^3*z2*z3 + 
    453600*ln2*z2^2*z3 + 81000*ln2^2*z3^2 - 279000*z2*z3^2 - 
    364500*ln2*z2*z5 + 1099125*z3*z5)/144000, 
 H[0, -1, 0, 1, -1, 0, 0, 0, 1] -> 
  (-146475*s8a - 2184000*s8b + 336000*s6*z2 - 940800*li4half*z2^2 - 
    39200*ln2^4*z2^2 + 235200*ln2^2*z2^3 + 386014*z2^4 - 78750*z2*z3^2 - 
    31500*z3*z5)/168000, H[0, -1, 0, 1, -1, 0, 0, -1, 1] -> 
  (1152000*li4half^2 + 96000*li4half*ln2^4 + 2000*ln2^8 - 576000*ln2^2*s6 + 
    576000*ln2*s7a + 576000*ln2*s7b + 127575*s8a + 648000*s8b - 
    576000*li4half*ln2^2*z2 - 24000*ln2^6*z2 + 432000*s6*z2 - 
    1008000*li4half*z2^2 + 30000*ln2^4*z2^2 + 352800*ln2^2*z2^3 + 
    383967*z2^4 + 864000*li5half*z3 + 2448000*li4half*ln2*z3 + 
    94800*ln2^5*z3 - 540000*ln2^3*z2*z3 - 738000*ln2*z2^2*z3 + 
    720000*ln2^2*z3^2 - 222750*z2*z3^2 - 1692000*ln2*z2*z5 - 1086750*z3*z5 + 
    446625*ln2*z7)/144000, H[0, -1, 0, 1, -1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    46368000*ln2^2*s6 - 66501225*s8a - 310968000*s8b - 64512000*s8c - 
    20160000*s8d + 508032000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 371952000*s6*z2 + 
    27014400*li4half*z2^2 + 4653600*ln2^4*z2^2 - 61362000*ln2^2*z2^3 - 
    72149436*z2^4 - 51408000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    747600*ln2^5*z3 + 2772000*ln2^3*z2*z3 + 20386800*ln2*z2^2*z3 + 
    23845500*ln2^2*z3^2 - 72891000*z2*z3^2 + 32791500*ln2*z2*z5 + 
    96626250*z3*z5)/7056000, H[0, -1, 0, 1, -1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 1231650*s8a - 6048000*s8b + 8064000*s8c - 
    8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    18144000*s6*z2 - 6854400*li4half*z2^2 + 218400*ln2^4*z2^2 + 
    1512000*ln2^2*z2^3 + 6743769*z2^4 + 4032000*li5half*z3 + 
    8064000*li4half*ln2*z3 + 302400*ln2^5*z3 - 1680000*ln2^3*z2*z3 - 
    5493600*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 378000*z2*z3^2 - 
    24192000*ln2*z2*z5 - 22963500*z3*z5)/1008000, 
 H[0, -1, 0, 1, -1, 0, -1, -1, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 - 
    28224000*ln2^2*s6 + 36288000*ln2*s7a + 262080000*ln2*s7b - 
    314352675*s8a - 1161720000*s8b - 129024000*s8c - 209664000*s8d - 
    112896000*li4half*ln2^2*z2 - 4704000*ln2^6*z2 + 659232000*s6*z2 - 
    216921600*li4half*z2^2 + 5073600*ln2^4*z2^2 + 35582400*ln2^2*z2^3 + 
    167629752*z2^4 + 447552000*li5half*z3 + 409248000*li4half*ln2*z3 + 
    13322400*ln2^5*z3 - 65016000*ln2^3*z2*z3 + 24696000*ln2*z2^2*z3 + 
    4410000*ln2^2*z3^2 + 253323000*z2*z3^2 - 218736000*ln2^3*z5 - 
    389844000*ln2*z2*z5 - 1217837250*z3*z5 + 810762750*ln2*z7)/28224000, 
 H[0, -1, 0, 1, -1, -1, 1, 1, 1] -> 
  (-33868800*li4half^2 + 112896000*li8half + 3763200*li5half*ln2^3 - 
    1881600*li4half*ln2^4 - 48160*ln2^8 - 7862400*ln2^2*s6 + 49442400*s8a + 
    284457600*s8b + 15724800*s8c + 49190400*s8d - 22579200*li6half*z2 - 
    36691200*li5half*ln2*z2 + 274400*ln2^6*z2 - 146361600*s6*z2 + 
    23385600*li4half*z2^2 - 295680*ln2^4*z2^2 - 2136960*ln2^2*z2^3 - 
    22233744*z2^4 - 11592000*li5half*z3 - 2822400*li4half*ln2*z3 - 
    21000*ln2^5*z3 - 2024400*ln2^3*z2*z3 - 15067080*ln2*z2^2*z3 - 
    2211300*ln2^2*z3^2 - 21451500*z2*z3^2 - 5924100*ln2^3*z5 + 
    19813500*ln2*z2*z5 + 34840575*z3*z5)/5644800, 
 H[0, -1, 0, 1, -1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    18144000*ln2^2*s6 + 9648975*s8a + 11088000*s8b + 36288000*s8c - 
    36288000*s8d + 9408000*li5half*ln2*z2 - 23520000*li4half*ln2^2*z2 - 
    1058400*ln2^6*z2 + 72576000*s6*z2 - 29131200*li4half*z2^2 + 
    1922200*ln2^4*z2^2 + 4972800*ln2^2*z2^3 + 24235206*z2^4 - 
    5040000*li5half*z3 + 30576000*li4half*ln2*z3 + 1316000*ln2^5*z3 - 
    8064000*ln2^3*z2*z3 - 27736800*ln2*z2^2*z3 - 5103000*ln2^2*z3^2 - 
    17752875*z2*z3^2 - 123674250*ln2*z2*z5 - 32221875*z3*z5)/4704000, 
 H[0, -1, 0, 1, -1, -1, 1, -1, 1] -> 
  (338688000*li4half^2 - 2257920000*li8half - 225792000*li7half*ln2 - 
    37632000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 498400*ln2^8 + 
    198576000*ln2^2*s6 - 179424000*ln2*s7a - 207648000*ln2*s7b - 
    608883975*s8a - 4813704000*s8b - 38304000*s8c - 864864000*s8d + 
    169344000*li6half*z2 + 705600000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 1254400*ln2^6*z2 + 2301264000*s6*z2 - 
    352195200*li4half*z2^2 - 10911600*ln2^4*z2^2 + 53222400*ln2^2*z2^3 + 
    401473584*z2^4 + 1278144000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    9475200*ln2^5*z3 + 125916000*ln2^3*z2*z3 + 601813800*ln2*z2^2*z3 - 
    218893500*ln2^2*z3^2 + 311850000*z2*z3^2 + 86583000*ln2^3*z5 - 
    36729000*ln2*z2*z5 - 1326220875*z3*z5 - 961167375*ln2*z7)/56448000, 
 H[0, -1, 0, 1, -1, -1, 0, 1, 1] -> 
  (10416000*ln2^2*s6 - 16174200*s8a + 50736000*s8b - 20832000*s8c + 
    20832000*s8d - 169344000*li6half*z2 - 37632000*li5half*ln2*z2 + 
    9408000*li4half*ln2^2*z2 + 470400*ln2^6*z2 - 127512000*s6*z2 + 
    4166400*li4half*z2^2 - 1786400*ln2^4*z2^2 + 9046800*ln2^2*z2^3 + 
    19166248*z2^4 + 7728000*li5half*z3 - 11760000*li4half*ln2*z3 - 
    554400*ln2^5*z3 + 3584000*ln2^3*z2*z3 + 18047400*ln2*z2^2*z3 + 
    2929500*ln2^2*z3^2 + 43425375*z2*z3^2 + 49964250*ln2*z2*z5 - 
    35994000*z3*z5)/4704000, H[0, -1, 0, 1, -1, -1, 0, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    2016000*ln2^2*s6 + 1626975*s8a - 31651200*s8b - 4032000*s8c + 
    4032000*s8d + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    4536000*s6*z2 - 8930880*li4half*z2^2 - 1077720*ln2^4*z2^2 + 
    4828320*ln2^2*z2^3 - 2656788*z2^4 - 16531200*li5half*z3 - 
    11289600*li4half*ln2*z3 - 332640*ln2^5*z3 + 1444800*ln2^3*z2*z3 - 
    337680*ln2*z2^2*z3 + 567000*ln2^2*z3^2 - 636300*z2*z3^2 + 
    12096000*ln2*z2*z5 + 48919500*z3*z5)/2822400, 
 H[0, -1, 0, 1, -1, -1, 0, -1, 1] -> 
  (45158400*li4half^2 + 3763200*li4half*ln2^4 + 78400*ln2^8 - 
    50803200*ln2^2*s6 + 49190400*ln2*s7a + 26611200*ln2*s7b + 44300025*s8a + 
    273268800*s8b + 3225600*s8c + 64512000*s8d + 11289600*li5half*ln2*z2 - 
    16934400*li4half*ln2^2*z2 - 799680*ln2^6*z2 - 153014400*s6*z2 - 
    25482240*li4half*z2^2 + 1290240*ln2^4*z2^2 + 28728000*ln2^2*z2^3 - 
    12991512*z2^4 - 134668800*li5half*z3 + 73382400*li4half*ln2*z3 + 
    4179840*ln2^5*z3 - 29568000*ln2^3*z2*z3 - 90669600*ln2*z2^2*z3 + 
    61034400*ln2^2*z3^2 - 34369650*z2*z3^2 + 21873600*ln2^3*z5 - 
    104913900*ln2*z2*z5 + 218132775*z3*z5 + 163404675*ln2*z7)/5644800, 
 H[0, -1, 0, 1, -1, -1, -1, 1, 1] -> 
  (-282240000*li4half^2 + 1128960000*li8half - 112896000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 32928000*li4half*ln2^4 - 697200*ln2^8 + 
    181440000*ln2^2*s6 - 140034825*s8a + 915768000*s8b - 235872000*s8c + 
    207648000*s8d + 395136000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 3332000*ln2^6*z2 - 126000000*s6*z2 + 
    199584000*li4half*z2^2 - 7912800*ln2^4*z2^2 - 215258400*ln2^2*z2^3 - 
    163913112*z2^4 - 203616000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    6535200*ln2^5*z3 + 23604000*ln2^3*z2*z3 + 94764600*ln2*z2^2*z3 + 
    60291000*ln2^2*z3^2 - 37642500*z2*z3^2 + 59241000*ln2^3*z5 + 
    267057000*ln2*z2*z5 - 186787125*z3*z5)/56448000, 
 H[0, -1, 0, 1, -1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    34272000*ln2^2*s6 - 25122825*s8a - 681912000*s8b + 68544000*s8c - 
    181440000*s8d - 112896000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2038400*ln2^6*z2 + 461664000*s6*z2 - 
    68745600*li4half*z2^2 + 5367600*ln2^4*z2^2 + 13104000*ln2^2*z2^3 + 
    87019488*z2^4 + 122976000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    3679200*ln2^5*z3 - 17976000*ln2^3*z2*z3 - 27846000*ln2*z2^2*z3 - 
    9639000*ln2^2*z3^2 + 26538750*z2*z3^2 - 116770500*ln2*z2*z5 - 
    257008500*z3*z5)/28224000, H[0, -1, 0, 1, -1, -1, -1, -1, 1] -> 
  (98784000*li4half^2 + 112896000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 12936000*li4half*ln2^4 + 266700*ln2^8 - 
    56952000*ln2^2*s6 + 55440000*ln2*s7a + 118944000*ln2*s7b - 64688400*s8a - 
    121968000*s8b - 60480000*s8c + 18144000*s8d - 84672000*li6half*z2 - 
    49392000*li4half*ln2^2*z2 - 2489200*ln2^6*z2 + 23688000*s6*z2 - 
    76104000*li4half*z2^2 + 6766200*ln2^4*z2^2 + 64058400*ln2^2*z2^3 + 
    41968296*z2^4 - 25704000*li5half*z3 + 172872000*li4half*ln2*z3 + 
    7417200*ln2^5*z3 - 45360000*ln2^3*z2*z3 - 75776400*ln2*z2^2*z3 + 
    64244250*ln2^2*z3^2 + 53298000*z2*z3^2 - 91140000*ln2^3*z5 - 
    169942500*ln2*z2*z5 - 100855125*z3*z5 + 232753500*ln2*z7)/28224000, 
 H[0, -1, 0, 0, 1, 1, 1, 1, 1] -> (2016000*li4half^2 + 168000*li4half*ln2^4 + 
    3500*ln2^8 + 25725*s8a + 2016000*li6half*z2 + 2016000*li5half*ln2*z2 - 
    14000*ln2^6*z2 - 504000*s6*z2 - 201600*li4half*z2^2 - 8400*ln2^4*z2^2 + 
    50400*ln2^2*z2^3 - 189844*z2^4 - 3528000*li5half*z3 + 29400*ln2^5*z3 - 
    176400*ln2*z2^2*z3 + 472500*z2*z3^2 + 976500*ln2*z2*z5 - 614250*z3*z5)/
   672000, H[0, -1, 0, 0, 1, 1, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 5529825*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 705600*li4half*z2^2 - 
    533400*ln2^4*z2^2 + 176400*ln2^2*z2^3 - 3650928*z2^4 + 
    14112000*li5half*z3 - 117600*ln2^5*z3 + 1176000*ln2^3*z2*z3 - 
    617400*ln2*z2^2*z3 - 5780250*z2*z3^2 + 22640625*z3*z5)/2016000, 
 H[0, -1, 0, 0, 1, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    11760000*ln2^2*s6 + 27552000*ln2*s7a + 51072000*ln2*s7b - 14426475*s8a - 
    173376000*s8b - 31584000*s8c - 6048000*s8d - 28224000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 37968000*s6*z2 - 
    31550400*li4half*z2^2 + 1625400*ln2^4*z2^2 + 7501200*ln2^2*z2^3 - 
    14439616*z2^4 + 30912000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    3858400*ln2^5*z3 - 27412000*ln2^3*z2*z3 - 42424200*ln2*z2^2*z3 + 
    38881500*ln2^2*z3^2 + 1638000*z2*z3^2 - 22785000*ln2^3*z5 - 
    49392000*ln2*z2*z5 + 82679625*z3*z5 + 411279750*ln2*z7)/9408000, 
 H[0, -1, 0, 0, 1, 1, 0, 1, 1] -> 
  (-418725*s8a + 144000*s6*z2 + 72000*li4half*z2^2 + 3000*ln2^4*z2^2 - 
    18000*ln2^2*z2^3 + 242384*z2^4 + 63000*ln2*z2^2*z3 + 330000*z2*z3^2 - 
    279000*ln2*z2*z5 - 1791375*z3*z5)/96000, H[0, -1, 0, 0, 1, 1, 0, 0, 1] -> 
  (-19775*s8a + 504000*li4half*z2^2 + 21000*ln2^4*z2^2 - 126000*ln2^2*z2^3 - 
    58704*z2^4 + 441000*ln2*z2^2*z3 - 236250*z2*z3^2 - 340375*z3*z5)/112000, 
 H[0, -1, 0, 0, 1, 1, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b + 2696400*s8a + 
    8064000*s8b + 8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 16128000*s6*z2 + 5241600*li4half*z2^2 - 
    285600*ln2^4*z2^2 - 2923200*ln2^2*z2^3 + 5062299*z2^4 + 
    16128000*li5half*z3 - 14112000*li4half*ln2*z3 - 722400*ln2^5*z3 + 
    4872000*ln2^3*z2*z3 + 9979200*ln2*z2^2*z3 - 11214000*ln2^2*z3^2 - 
    3803625*z2*z3^2 - 504000*ln2*z2*z5 - 29862000*z3*z5 - 72261000*ln2*z7)/
   1008000, H[0, -1, 0, 0, 1, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    5040000*ln2^2*s6 - 70334775*s8a - 115584000*s8b - 33600000*s8c + 
    5376000*s8d - 28224000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 392000*ln2^6*z2 + 11592000*s6*z2 + 
    16833600*li4half*z2^2 + 4229400*ln2^4*z2^2 - 5896800*ln2^2*z2^3 + 
    17899316*z2^4 + 19824000*li5half*z3 - 165200*ln2^5*z3 + 
    1064000*ln2^3*z2*z3 + 19765200*ln2*z2^2*z3 + 23541000*ln2^2*z3^2 + 
    68344500*z2*z3^2 + 101020500*ln2*z2*z5 - 202056750*z3*z5)/9408000, 
 H[0, -1, 0, 0, 1, 1, -1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    2016000*ln2^2*s6 + 3589425*s8a + 5040000*s8b - 4032000*s8c + 
    4032000*s8d - 5644800*li4half*ln2^2*z2 - 235200*ln2^6*z2 - 
    13708800*s6*z2 - 3850560*li4half*z2^2 + 545160*ln2^4*z2^2 - 
    1204560*ln2^2*z2^3 - 4103268*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 
    672000*ln2^3*z2*z3 + 7194600*ln2*z2^2*z3 + 567000*ln2^2*z3^2 - 
    1099350*z2*z3^2 + 12096000*ln2*z2*z5 + 21191625*z3*z5)/2822400, 
 H[0, -1, 0, 0, 1, 1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    12768000*ln2^2*s6 - 12096000*ln2*s7a - 19152000*ln2*s7b + 13081425*s8a + 
    116928000*s8b + 10416000*s8c + 8400000*s8d + 21168000*li4half*ln2^2*z2 + 
    882000*ln2^6*z2 - 32088000*s6*z2 + 25200000*li4half*z2^2 - 
    2478000*ln2^4*z2^2 - 7148400*ln2^2*z2^3 + 2688758*z2^4 - 
    14448000*li5half*z3 - 57624000*li4half*ln2*z3 - 2280600*ln2^5*z3 + 
    14084000*ln2^3*z2*z3 + 19414500*ln2*z2^2*z3 - 25992750*ln2^2*z3^2 - 
    6195000*z2*z3^2 + 6835500*ln2^3*z5 + 25231500*ln2*z2*z5 - 
    20131125*z3*z5 - 185178000*ln2*z7)/4704000, 
 H[0, -1, 0, 0, 1, 0, 1, 1, 1] -> (1407525*s8a + 3528000*s6*z2 - 
    961036*z2^4 - 5948250*z2*z3^2 - 6835500*ln2*z2*z5 + 17697750*z3*z5)/
   672000, H[0, -1, 0, 0, 1, 0, 1, 0, 1] -> 
  (-64575*s8a + 77333*z2^4 + 299250*z2*z3^2 - 973000*z3*z5)/56000, 
 H[0, -1, 0, 0, 1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 20160000*ln2*s7a - 20160000*ln2*s7b - 13480425*s8a + 
    30744000*s8b - 16128000*s8c + 16128000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 46368000*s6*z2 + 49089600*li4half*z2^2 - 
    1482600*ln2^4*z2^2 - 15397200*ln2^2*z2^3 - 9046083*z2^4 - 
    32256000*li5half*z3 - 98784000*li4half*ln2*z3 - 3847200*ln2^5*z3 + 
    22008000*ln2^3*z2*z3 + 32148900*ln2*z2^2*z3 - 22932000*ln2^2*z3^2 + 
    36130500*z2*z3^2 + 158870250*ln2*z2*z5 - 58834125*z3*z5 - 
    181652625*ln2*z7)/7056000, H[0, -1, 0, 0, 1, 0, 0, 1, 1] -> 
  (-140*s8a - 20160*s6*z2 - 1273*z2^4 + 14805*z2*z3^2 + 39060*ln2*z2*z5 - 
    31395*z3*z5)/2240, H[0, -1, 0, 0, 1, 0, 0, 0, 1] -> 
  (18900*s8a - 72671*z2^4 + 330750*z3*z5)/28000, 
 H[0, -1, 0, 0, 1, 0, 0, -1, 1] -> (-61425*s8a - 1176000*s8b - 222508*z2^4 - 
    126000*z2*z3^2 + 1231125*z3*z5 + 2333625*ln2*z7)/112000, 
 H[0, -1, 0, 0, 1, 0, -1, 1, 1] -> (-12096000*ln2^2*s6 + 20983200*s8a - 
    6720000*s8b + 24192000*s8c - 24192000*s8d + 22512000*s6*z2 - 
    3427200*li4half*z2^2 - 142800*ln2^4*z2^2 + 252000*ln2^2*z2^3 + 
    3652102*z2^4 + 48384000*li5half*z3 - 403200*ln2^5*z3 + 
    4032000*ln2^3*z2*z3 + 13192200*ln2*z2^2*z3 - 21924000*ln2^2*z3^2 - 
    11749500*z2*z3^2 - 38398500*ln2*z2*z5 - 33161625*z3*z5)/4704000, 
 H[0, -1, 0, 0, 1, 0, -1, 0, 1] -> (2700*s8a - 5158*z2^4 - 5625*z2*z3^2 + 
    38625*z3*z5)/4000, H[0, -1, 0, 0, 1, 0, -1, -1, 1] -> 
  (6048000*ln2^2*s6 - 12096000*ln2*s7a - 12096000*ln2*s7b + 9348675*s8a - 
    28056000*s8b + 12096000*s8c - 12096000*s8d + 24192000*s6*z2 - 
    2419200*li4half*z2^2 - 100800*ln2^4*z2^2 - 1814400*ln2^2*z2^3 - 
    1423517*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 + 
    2016000*ln2^3*z2*z3 + 5972400*ln2*z2^2*z3 - 7560000*ln2^2*z3^2 - 
    13812750*z2*z3^2 - 756000*ln2*z2*z5 + 19369875*z3*z5 - 28714875*ln2*z7)/
   2352000, H[0, -1, 0, 0, 1, -1, 1, 1, 1] -> 
  (-5040000*ln2^2*s6 + 13252050*s8a + 48384000*s8b + 10080000*s8c + 
    672000*s8d - 12096000*li6half*z2 - 4032000*li5half*ln2*z2 + 
    16800*ln2^6*z2 - 6888000*s6*z2 + 436800*li4half*z2^2 - 65800*ln2^4*z2^2 + 
    2007600*ln2^2*z2^3 + 2094728*z2^4 + 3024000*li5half*z3 - 25200*ln2^5*z3 - 
    2016000*ln2^3*z2*z3 - 6841800*ln2*z2^2*z3 - 1417500*ln2^2*z3^2 - 
    17220000*z2*z3^2 + 1085000*ln2^3*z5 - 42283500*ln2*z2*z5 + 
    31749375*z3*z5)/1344000, H[0, -1, 0, 0, 1, -1, 1, 0, 1] -> 
  (6048000*ln2^2*s6 - 10498950*s8a - 28392000*s8b - 12096000*s8c + 
    12096000*s8d - 18312000*s6*z2 + 2419200*li4half*z2^2 + 
    100800*ln2^4*z2^2 + 3477600*ln2^2*z2^3 - 5467367*z2^4 - 
    24192000*li5half*z3 + 201600*ln2^5*z3 - 2016000*ln2^3*z2*z3 + 
    7295400*ln2*z2^2*z3 + 1701000*ln2^2*z3^2 + 12159000*z2*z3^2 + 
    41984250*ln2*z2*z5 + 11996250*z3*z5)/2352000, 
 H[0, -1, 0, 0, 1, -1, 1, -1, 1] -> 
  (672000*ln2^2*s6 - 672000*ln2*s7a - 1512000*ln2*s7b - 1105650*s8a - 
    7056000*s8b - 1344000*s8d + 4200000*s6*z2 - 268800*li4half*z2^2 - 
    11200*ln2^4*z2^2 - 428400*ln2^2*z2^3 + 535936*z2^4 + 2688000*li5half*z3 - 
    22400*ln2^5*z3 + 980000*ln2^3*z2*z3 + 1963500*ln2*z2^2*z3 - 
    840000*ln2^2*z3^2 + 493500*z2*z3^2 + 542500*ln2^3*z5 + 
    5045250*ln2*z2*z5 - 4286625*z3*z5 - 11035500*ln2*z7)/336000, 
 H[0, -1, 0, 0, 1, -1, 0, 1, 1] -> 
  (-862050*s8a - 2688000*s8b - 4704000*s6*z2 - 201600*li4half*z2^2 - 
    8400*ln2^4*z2^2 + 50400*ln2^2*z2^3 + 66382*z2^4 - 567000*ln2*z2^2*z3 + 
    6205500*z2*z3^2 + 13020000*ln2*z2*z5 - 14403375*z3*z5)/672000, 
 H[0, -1, 0, 0, 1, -1, 0, 0, 1] -> 
  (3*(1890*s8a + 22400*s8b - 4480*s6*z2 - 256*z2^4 - 7560*ln2*z2^2*z3 - 
     1050*z2*z3^2 + 3605*z3*z5))/4480, H[0, -1, 0, 0, 1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 31726800*s8a + 
    34272000*s8b - 72576000*s8c + 72576000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 176904000*s6*z2 + 60379200*li4half*z2^2 - 
    1012200*ln2^4*z2^2 - 11869200*ln2^2*z2^3 - 47555043*z2^4 - 
    145152000*li5half*z3 - 98784000*li4half*ln2*z3 - 2906400*ln2^5*z3 + 
    12600000*ln2^3*z2*z3 + 13406400*ln2*z2^2*z3 + 20286000*ln2^2*z3^2 + 
    60054750*z2*z3^2 + 211128750*ln2*z2*z5 + 122747625*z3*z5 + 
    141269625*ln2*z7)/7056000, H[0, -1, 0, 0, 1, -1, -1, 1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 100800*ln2^2*s6 + 
    103950*s8a - 30441600*s8b + 4032000*s8c - 9676800*s8d - 
    25401600*li6half*z2 - 16934400*li5half*ln2*z2 - 
    1411200*li4half*ln2^2*z2 + 47040*ln2^6*z2 - 7812000*s6*z2 + 
    1028160*li4half*z2^2 - 133560*ln2^4*z2^2 - 1998360*ln2^2*z2^3 + 
    4097514*z2^4 + 37699200*li5half*z3 - 314160*ln2^5*z3 + 
    3141600*ln2^3*z2*z3 + 11750760*ln2*z2^2*z3 - 9541350*ln2^2*z3^2 + 
    18827550*z2*z3^2 - 2278500*ln2^3*z5 + 43205400*ln2*z2*z5 - 
    68555025*z3*z5)/2822400, H[0, -1, 0, 0, 1, -1, -1, 0, 1] -> 
  (-6048000*ln2^2*s6 + 11921175*s8a + 22512000*s8b + 12096000*s8c - 
    12096000*s8d + 21840000*s6*z2 - 1243200*li4half*z2^2 - 51800*ln2^4*z2^2 - 
    3771600*ln2^2*z2^3 + 671128*z2^4 + 24192000*li5half*z3 - 
    201600*ln2^5*z3 + 2016000*ln2^3*z2*z3 - 3326400*ln2*z2^2*z3 - 
    1701000*ln2^2*z3^2 - 25756500*z2*z3^2 - 47680500*ln2*z2*z5 + 
    38388000*z3*z5)/4704000, H[0, -1, 0, 0, 1, -1, -1, -1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    104832000*ln2^2*s6 - 122976000*ln2*s7a - 80640000*ln2*s7b + 
    56104650*s8a + 42840000*s8b - 6048000*s8c + 34272000*s8d + 
    70560000*li4half*ln2^2*z2 + 2940000*ln2^6*z2 - 153216000*s6*z2 + 
    121867200*li4half*z2^2 - 3742200*ln2^4*z2^2 - 37018800*ln2^2*z2^3 - 
    88591116*z2^4 - 61488000*li5half*z3 - 246960000*li4half*ln2*z3 - 
    9777600*ln2^5*z3 + 40740000*ln2^3*z2*z3 + 86499000*ln2*z2^2*z3 - 
    63126000*ln2^2*z3^2 - 34272000*z2*z3^2 - 18228000*ln2^3*z5 + 
    253701000*ln2*z2*z5 + 356060250*z3*z5 - 104194125*ln2*z7)/28224000, 
 H[0, -1, 0, 0, 0, 1, 1, 1, 1] -> (-541275*s8a - 1512000*s6*z2 + 
    170516*z2^4 + 1722000*z2*z3^2 + 2929500*ln2*z2*z5 - 4641000*z3*z5)/
   672000, H[0, -1, 0, 0, 0, 1, 1, 0, 1] -> 
  (6825*s8a - 3317*z2^4 - 2520*z2*z3^2 + 18480*z3*z5)/6720, 
 H[0, -1, 0, 0, 0, 1, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    94752000*ln2^2*s6 + 56448000*ln2*s7a + 128442825*s8a + 616896000*s8b + 
    76608000*s8c + 92736000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 263088000*s6*z2 - 27316800*li4half*z2^2 + 
    2389800*ln2^4*z2^2 + 48358800*ln2^2*z2^3 - 12981768*z2^4 - 
    185472000*li5half*z3 + 98784000*li4half*ln2*z3 + 5661600*ln2^5*z3 - 
    40152000*ln2^3*z2*z3 - 143136000*ln2*z2^2*z3 + 59787000*ln2^2*z3^2 - 
    100674000*z2*z3^2 + 54684000*ln2^3*z5 - 189031500*ln2*z2*z5 + 
    343531125*z3*z5 + 14883750*ln2*z7)/14112000, 
 H[0, -1, 0, 0, 0, 1, 0, 1, 1] -> (202650*s8a + 1008000*s6*z2 - 81071*z2^4 - 
    1197000*z2*z3^2 - 1953000*ln2*z2*z5 + 3129000*z3*z5)/168000, 
 H[0, -1, 0, 0, 0, 1, 0, 0, 1] -> (-18900*s8a + 56081*z2^4 - 252000*z3*z5)/
   28000, H[0, -1, 0, 0, 0, 1, 0, -1, 1] -> 
  (-4050*s8a + 2567*z2^4 + 4500*z2*z3^2 - 20250*z3*z5)/6000, 
 H[0, -1, 0, 0, 0, 1, -1, 1, 1] -> (2553600*ln2^2*s6 - 3790500*s8a - 
    17841600*s8b - 3225600*s8c - 2419200*s8d + 8601600*s6*z2 - 
    483840*li4half*z2^2 - 20160*ln2^4*z2^2 - 1565760*ln2^2*z2^3 + 
    298153*z2^4 + 4838400*li5half*z3 - 40320*ln2^5*z3 + 403200*ln2^3*z2*z3 + 
    2774520*ln2*z2^2*z3 + 718200*ln2^2*z3^2 + 1493100*z2*z3^2 + 
    4958100*ln2*z2*z5 - 4321275*z3*z5)/470400, 
 H[0, -1, 0, 0, 0, 1, -1, 0, 1] -> (-7425*s8a - 62400*s8b + 19200*s6*z2 + 
    2104*z2^4 + 16200*ln2*z2^2*z3 + 900*z2*z3^2 - 12375*z3*z5)/4800, 
 H[0, -1, 0, 0, 0, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    38304000*ln2^2*s6 + 4032000*ln2*s7a + 60480000*ln2*s7b - 18596025*s8a - 
    64512000*s8b + 12096000*s8c - 12096000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 59472000*s6*z2 - 48283200*li4half*z2^2 + 
    1516200*ln2^4*z2^2 + 31928400*ln2^2*z2^3 + 24857556*z2^4 + 
    24192000*li5half*z3 + 98784000*li4half*ln2*z3 + 3914400*ln2^5*z3 - 
    22680000*ln2^3*z2*z3 - 41882400*ln2*z2^2*z3 - 4599000*ln2^2*z3^2 + 
    4158000*z2*z3^2 - 54684000*ln2^3*z5 - 215712000*ln2*z2*z5 - 
    82923750*z3*z5 + 285043500*ln2*z7)/14112000, 
 H[0, -1, 0, 0, 0, 0, 1, 1, 1] -> (-1575*s8a - 33600*s6*z2 + 9308*z2^4 + 
    58800*z2*z3^2 + 65100*ln2*z2*z5 - 183400*z3*z5)/22400, 
 H[0, -1, 0, 0, 0, 0, 1, 0, 1] -> (-26775*s8a - 28969*z2^4 + 168000*z3*z5)/
   28000, H[0, -1, 0, 0, 0, 0, 1, -1, 1] -> 
  (1575*s8a + 100800*s8b + 5368*z2^4 - 25200*ln2*z2^2*z3 - 12600*z2*z3^2 - 
    157500*ln2*z2*z5 + 18375*z3*z5 + 155575*ln2*z7)/22400, 
 H[0, -1, 0, 0, 0, 0, 0, 1, 1] -> (1800*s8a + 863*z2^4 - 6000*z3*z5)/4000, 
 H[0, -1, 0, 0, 0, 0, 0, 0, 1] -> (381*z2^4)/400, 
 H[0, -1, 0, 0, 0, 0, 0, -1, 1] -> (14175*s8a + 168000*s8b + 35773*z2^4 - 
    165375*z3*z5 - 333375*ln2*z7)/28000, H[0, -1, 0, 0, 0, 0, -1, 1, 1] -> 
  (-45675*s8a - 896000*s8b - 52618*z2^4 + 126000*ln2*z2^2*z3 + 
    173250*z2*z3^2 + 787500*ln2*z2*z5 - 241500*z3*z5)/112000, 
 H[0, -1, 0, 0, 0, 0, -1, 0, 1] -> (-6187*z2^4 + 31500*z3*z5)/5600, 
 H[0, -1, 0, 0, 0, 0, -1, -1, 1] -> (84350*s8a + 280000*s8b + 9676*z2^4 - 
    84000*z2*z3^2 + 120750*z3*z5 - 555625*ln2*z7)/112000, 
 H[0, -1, 0, 0, 0, -1, 1, 1, 1] -> (-3360000*ln2^2*s6 + 12120675*s8a + 
    55104000*s8b + 6720000*s8c + 12096000*s8d - 54768000*s6*z2 + 
    1713600*li4half*z2^2 + 71400*ln2^4*z2^2 + 6358800*ln2^2*z2^3 - 
    3883652*z2^4 - 24192000*li5half*z3 + 201600*ln2^5*z3 - 
    2016000*ln2^3*z2*z3 - 8139600*ln2*z2^2*z3 - 945000*ln2^2*z3^2 + 
    13482000*z2*z3^2 - 6076000*ln2^3*z5 + 32245500*ln2*z2*z5 - 
    13067250*z3*z5)/4704000, H[0, -1, 0, 0, 0, -1, 1, 0, 1] -> 
  (61425*s8a + 2184000*s8b - 336000*s6*z2 + 71948*z2^4 - 567000*ln2*z2^2*z3 + 
    78750*z2*z3^2 - 651000*ln2*z2*z5 - 291375*z3*z5)/168000, 
 H[0, -1, 0, 0, 0, -1, 1, -1, 1] -> 
  (510720*ln2^2*s6 + 376320*ln2*s7b - 1111635*s8a - 5308800*s8b - 
    1021440*s8c - 483840*s8d + 1532160*s6*z2 - 96768*li4half*z2^2 - 
    4032*ln2^4*z2^2 - 313152*ln2^2*z2^3 - 76007*z2^4 + 967680*li5half*z3 - 
    8064*ln2^5*z3 + 80640*ln2^3*z2*z3 + 651336*ln2*z2^2*z3 + 
    143640*ln2^2*z3^2 + 990990*z2*z3^2 - 243040*ln2^3*z5 + 
    1732500*ln2*z2*z5 - 1705095*z3*z5 + 2712885*ln2*z7)/94080, 
 H[0, -1, 0, 0, 0, -1, 0, 1, 1] -> (-56700*s8a + 840000*s6*z2 + 85438*z2^4 - 
    622125*z2*z3^2 - 1627500*ln2*z2*z5 + 1181250*z3*z5)/84000, 
 H[0, -1, 0, 0, 0, -1, 0, 0, 1] -> (18900*s8a + 47869*z2^4 - 236250*z3*z5)/
   28000, H[0, -1, 0, 0, 0, -1, 0, -1, 1] -> 
  (-198975*s8a + 1008000*s8b + 336000*s6*z2 + 362029*z2^4 + 78750*z2*z3^2 - 
    651000*ln2*z2*z5 - 1614375*z3*z5 - 2000250*ln2*z7)/168000, 
 H[0, -1, 0, 0, 0, -1, -1, 1, 1] -> 
  (-13440000*ln2^2*s6 + 18336675*s8a + 138096000*s8b + 8064000*s8c + 
    29568000*s8d - 53256000*s6*z2 + 5208000*li4half*z2^2 + 
    217000*ln2^4*z2^2 + 9214800*ln2^2*z2^3 - 4404832*z2^4 - 
    59136000*li5half*z3 + 492800*ln2^5*z3 - 4928000*ln2^3*z2*z3 - 
    23620800*ln2*z2^2*z3 + 9597000*ln2^2*z3^2 - 30413250*z2*z3^2 + 
    6076000*ln2^3*z5 - 65866500*ln2*z2*z5 + 110496750*z3*z5)/4704000, 
 H[0, -1, 0, 0, 0, -1, -1, 0, 1] -> (18900*s8a - 336000*s6*z2 + 40819*z2^4 + 
    467250*z2*z3^2 + 651000*ln2*z2*z5 - 1328250*z3*z5)/168000, 
 H[0, -1, 0, 0, 0, -1, -1, -1, 1] -> 
  (-349440*ln2^2*s6 + 698880*ln2*s7a - 53760*ln2*s7b + 206010*s8a + 
    4119360*s8b + 53760*s8c + 698880*s8d - 1774080*s6*z2 + 
    139776*li4half*z2^2 + 5824*ln2^4*z2^2 + 104832*ln2^2*z2^3 + 135208*z2^4 - 
    1397760*li5half*z3 + 11648*ln2^5*z3 - 116480*ln2^3*z2*z3 - 
    537936*ln2*z2^2*z3 + 436800*ln2^2*z3^2 + 59640*z2*z3^2 + 
    486080*ln2^3*z5 + 20160*ln2*z2*z5 - 130410*z3*z5 - 1816815*ln2*z7)/
   188160, H[0, -1, 0, 0, -1, 1, 1, 1, 1] -> 
  (-80640*li4half^2 - 6720*li4half*ln2^4 - 140*ln2^8 + 80640*ln2^2*s6 - 
    131670*s8a - 524160*s8b - 161280*s8c + 67200*s8d - 80640*li5half*ln2*z2 + 
    672*ln2^6*z2 - 174720*s6*z2 + 36960*li4half*z2^2 - 140*ln2^4*z2^2 - 
    29904*ln2^2*z2^3 - 67352*z2^4 + 60480*li5half*z3 - 504*ln2^5*z3 + 
    20160*ln2^3*z2*z3 + 169344*ln2*z2^2*z3 + 22680*ln2^2*z3^2 + 
    201915*z2*z3^2 + 796320*ln2*z2*z5 - 239190*z3*z5)/26880, 
 H[0, -1, 0, 0, -1, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    23184000*ln2^2*s6 + 35306775*s8a + 72576000*s8b + 46368000*s8c - 
    46368000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    80388000*s6*z2 - 13860000*li4half*z2^2 + 1186500*ln2^4*z2^2 - 
    3364200*ln2^2*z2^3 + 20079039*z2^4 - 6048000*li5half*z3 + 
    50400*ln2^5*z3 - 504000*ln2^3*z2*z3 - 54072900*ln2*z2^2*z3 - 
    6520500*ln2^2*z3^2 - 30200625*z2*z3^2 - 139104000*ln2*z2*z5 + 
    12544875*z3*z5)/7056000, H[0, -1, 0, 0, -1, 1, 1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    148176000*ln2^2*s6 + 114912000*ln2*s7a + 44352000*ln2*s7b + 
    169956675*s8a + 887040000*s8b + 66528000*s8c + 145152000*s8d + 
    169344000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 - 235200*ln2^6*z2 - 
    431424000*s6*z2 - 42940800*li4half*z2^2 - 1789200*ln2^4*z2^2 + 
    73105200*ln2^2*z2^3 - 36836052*z2^4 - 403200000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 5418000*ln2^5*z3 - 45948000*ln2^3*z2*z3 - 
    269098200*ln2*z2^2*z3 + 134284500*ln2^2*z3^2 - 108108000*z2*z3^2 + 
    68355000*ln2^3*z5 - 470547000*ln2*z2*z5 + 625251375*z3*z5 + 
    508551750*ln2*z7)/28224000, H[0, -1, 0, 0, -1, 1, 0, 1, 1] -> 
  (-156975*s8a + 2688000*s8b + 3024000*s6*z2 + 201600*li4half*z2^2 + 
    8400*ln2^4*z2^2 - 50400*ln2^2*z2^3 + 372664*z2^4 + 567000*ln2*z2^2*z3 - 
    3843000*z2*z3^2 - 9765000*ln2*z2*z5 + 7273875*z3*z5)/672000, 
 H[0, -1, 0, 0, -1, 1, 0, 0, 1] -> 
  (-3*(29925*s8a + 280000*s8b - 56000*s6*z2 - 9792*z2^4 - 94500*ln2*z2^2*z3 + 
     7875*z2*z3^2 + 36750*z3*z5))/56000, H[0, -1, 0, 0, -1, 1, 0, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    5644800*ln2^2*s6 - 1612800*ln2*s7a - 1612800*ln2*s7b + 5017950*s8a - 
    5443200*s8b + 14515200*s8c - 14515200*s8d - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 + 33616800*s6*z2 - 12075840*li4half*z2^2 + 
    202440*ln2^4*z2^2 + 2373840*ln2^2*z2^3 + 10391253*z2^4 + 
    29030400*li5half*z3 + 19756800*li4half*ln2*z3 + 581280*ln2^5*z3 - 
    2520000*ln2^3*z2*z3 - 2681280*ln2*z2^2*z3 - 4057200*ln2^2*z3^2 - 
    9331875*z2*z3^2 - 38808000*ln2*z2*z5 - 34218450*z3*z5 - 31054275*ln2*z7)/
   1411200, H[0, -1, 0, 0, -1, 1, -1, 1, 1] -> 
  (-1344000*ln2^2*s6 + 7203525*s8a + 44352000*s8b + 6048000*s8c + 
    2688000*s8d - 4704000*s6*z2 + 537600*li4half*z2^2 + 22400*ln2^4*z2^2 + 
    1310400*ln2^2*z2^3 + 1655764*z2^4 - 5376000*li5half*z3 + 44800*ln2^5*z3 - 
    3472000*ln2^3*z2*z3 - 7387800*ln2*z2^2*z3 + 1680000*ln2^2*z3^2 - 
    12411000*z2*z3^2 - 36729000*ln2*z2*z5 + 21039375*z3*z5)/1344000, 
 H[0, -1, 0, 0, -1, 1, -1, 0, 1] -> 
  (6048000*ln2^2*s6 - 10403400*s8a - 28392000*s8b - 12096000*s8c + 
    12096000*s8d - 15372000*s6*z2 + 2419200*li4half*z2^2 + 
    100800*ln2^4*z2^2 + 3477600*ln2^2*z2^3 - 3961639*z2^4 - 
    24192000*li5half*z3 + 201600*ln2^5*z3 - 2016000*ln2^3*z2*z3 + 
    7295400*ln2*z2^2*z3 + 1701000*ln2^2*z3^2 + 13353375*z2*z3^2 + 
    36288000*ln2*z2*z5 + 2367750*z3*z5)/2352000, 
 H[0, -1, 0, 0, -1, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    16464000*ln2^2*s6 + 14784000*ln2*s7a + 28896000*ln2*s7b - 70164675*s8a - 
    280560000*s8b - 20160000*s8c - 50400000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 171360000*s6*z2 - 55944000*li4half*z2^2 + 
    1197000*ln2^4*z2^2 + 5376000*ln2^2*z2^3 + 42285812*z2^4 + 
    98448000*li5half*z3 + 98784000*li4half*ln2*z3 + 3295600*ln2^5*z3 - 
    616000*ln2^3*z2*z3 + 12583200*ln2*z2^2*z3 + 3601500*ln2^2*z3^2 + 
    47533500*z2*z3^2 - 13671000*ln2^3*z5 - 24843000*ln2*z2*z5 - 
    261633750*z3*z5 + 10683750*ln2*z7)/9408000, 
 H[0, -1, 0, 0, -1, 0, 1, 1, 1] -> (-85050*s8a + 360000*s6*z2 + 59482*z2^4 - 
    218250*z2*z3^2 - 697500*ln2*z2*z5 + 330375*z3*z5)/96000, 
 H[0, -1, 0, 0, -1, 0, 1, 0, 1] -> (37800*s8a - 18212*z2^4 - 31500*z2*z3^2 + 
    133875*z3*z5)/56000, H[0, -1, 0, 0, -1, 0, 1, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 4032000*ln2*s7a - 4032000*ln2*s7b + 893025*s8a + 
    4536000*s8b + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    2016000*s6*z2 + 6552000*li4half*z2^2 - 231000*ln2^4*z2^2 - 
    2343600*ln2^2*z2^3 - 1404681*z2^4 - 14112000*li4half*ln2*z3 - 
    588000*ln2^5*z3 + 3528000*ln2^3*z2*z3 + 6451200*ln2*z2^2*z3 - 
    5040000*ln2^2*z3^2 - 94500*z2*z3^2 + 11844000*ln2*z2*z5 + 212625*z3*z5 - 
    26129250*ln2*z7)/1008000, H[0, -1, 0, 0, -1, 0, 0, 1, 1] -> 
  (99225*s8a - 1008000*s6*z2 - 100714*z2^4 + 740250*z2*z3^2 + 
    1953000*ln2*z2*z5 - 1441125*z3*z5)/112000, 
 H[0, -1, 0, 0, -1, 0, 0, 0, 1] -> (-18900*s8a - 37579*z2^4 + 157500*z3*z5)/
   28000, H[0, -1, 0, 0, -1, 0, 0, -1, 1] -> 
  (-99225*s8a - 504000*s8b - 51866*z2^4 + 63000*z2*z3^2 + 110250*z3*z5 + 
    1000125*ln2*z7)/112000, H[0, -1, 0, 0, -1, 0, -1, 1, 1] -> 
  (-672000*ln2^2*s6 + 654675*s8a - 1848000*s8b + 1344000*s8c - 1344000*s8d + 
    840000*s6*z2 - 168000*li4half*z2^2 - 7000*ln2^4*z2^2 + 8400*ln2^2*z2^3 + 
    356473*z2^4 + 2688000*li5half*z3 - 22400*ln2^5*z3 + 224000*ln2^3*z2*z3 + 
    512400*ln2*z2^2*z3 - 1218000*ln2^2*z3^2 + 1023750*z2*z3^2 + 
    850500*ln2*z2*z5 - 6247500*z3*z5)/336000, 
 H[0, -1, 0, 0, -1, 0, -1, 0, 1] -> (23975*s8a - 27689*z2^4 - 62300*z2*z3^2 + 
    261100*z3*z5)/11200, H[0, -1, 0, 0, -1, 0, -1, -1, 1] -> 
  (1344000*ln2^2*s6 - 2688000*ln2*s7a - 2688000*ln2*s7b + 3054975*s8a - 
    7056000*s8b + 2688000*s8c - 2688000*s8d + 5376000*s6*z2 - 
    537600*li4half*z2^2 - 22400*ln2^4*z2^2 - 403200*ln2^2*z2^3 - 
    1040204*z2^4 + 5376000*li5half*z3 - 44800*ln2^5*z3 + 448000*ln2^3*z2*z3 + 
    1327200*ln2*z2^2*z3 - 1680000*ln2^2*z3^2 - 4242000*z2*z3^2 - 
    168000*ln2*z2*z5 + 9717750*z3*z5 - 4751250*ln2*z7)/672000, 
 H[0, -1, 0, 0, -1, -1, 1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    2352000*ln2^2*s6 - 5959800*s8a - 34272000*s8b - 4704000*s8c - 
    2688000*s8d + 16128000*li6half*z2 + 4032000*li5half*ln2*z2 - 
    11200*ln2^6*z2 + 18144000*s6*z2 + 739200*li4half*z2^2 + 
    282800*ln2^4*z2^2 - 1680000*ln2^2*z2^3 - 2524148*z2^4 + 
    3696000*li5half*z3 - 30800*ln2^5*z3 + 644000*ln2^3*z2*z3 + 
    4531800*ln2*z2^2*z3 + 661500*ln2^2*z3^2 + 1748250*z2*z3^2 - 
    651000*ln2^3*z5 + 11182500*ln2*z2*z5 - 5730375*z3*z5)/1344000, 
 H[0, -1, 0, 0, -1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    18144000*ln2^2*s6 + 24143175*s8a + 102816000*s8b + 36288000*s8c - 
    36288000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    54936000*s6*z2 - 16430400*li4half*z2^2 + 2843400*ln2^4*z2^2 - 
    8139600*ln2^2*z2^3 + 19796268*z2^4 - 26208000*li5half*z3 + 
    218400*ln2^5*z3 - 2184000*ln2^3*z2*z3 - 38732400*ln2*z2^2*z3 - 
    5103000*ln2^2*z3^2 - 28759500*z2*z3^2 - 129370500*ln2*z2*z5 + 
    9379125*z3*z5)/14112000, H[0, -1, 0, 0, -1, -1, 1, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    10080000*ln2^2*s6 - 12096000*ln2*s7a - 2016000*ln2*s7b + 9758700*s8a + 
    39816000*s8b + 4032000*s8c + 2016000*s8d + 12096000*li5half*ln2*z2 + 
    16128000*li4half*ln2^2*z2 + 571200*ln2^6*z2 - 15120000*s6*z2 + 
    9777600*li4half*z2^2 - 2112600*ln2^4*z2^2 - 2394000*ln2^2*z2^3 - 
    4013328*z2^4 - 12096000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    1369200*ln2^5*z3 + 6300000*ln2^3*z2*z3 + 5670000*ln2*z2^2*z3 - 
    15687000*ln2^2*z3^2 - 6646500*z2*z3^2 - 7812000*ln2^3*z5 - 
    24160500*ln2*z2*z5 + 27436500*z3*z5 - 3220875*ln2*z7)/4032000, 
 H[0, -1, 0, 0, -1, -1, 0, 1, 1] -> 
  (-16800*s8a + 26386*z2^4 + 64050*z2*z3^2 - 263025*z3*z5)/134400, 
 H[0, -1, 0, 0, -1, -1, 0, 0, 1] -> 
  (-19775*s8a + 29496*z2^4 + 56000*z2*z3^2 - 259000*z3*z5)/112000, 
 H[0, -1, 0, 0, -1, -1, 0, -1, 1] -> 
  (-844200*s8a + 2184000*s8b + 504000*s6*z2 + 1004128*z2^4 + 808500*z2*z3^2 - 
    976500*ln2*z2*z5 - 5780250*z3*z5 - 4333875*ln2*z7)/672000, 
 H[0, -1, 0, 0, -1, -1, -1, 1, 1] -> 
  (-14784000*ln2^2*s6 + 2934225*s8a - 53424000*s8b + 15456000*s8c - 
    20160000*s8d + 56448000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    156800*ln2^6*z2 + 60312000*s6*z2 - 3326400*li4half*z2^2 + 
    1037400*ln2^4*z2^2 + 621600*ln2^2*z2^3 - 603304*z2^4 + 
    9744000*li5half*z3 - 81200*ln2^5*z3 + 1988000*ln2^3*z2*z3 - 
    1339800*ln2*z2^2*z3 - 8788500*ln2^2*z3^2 - 787500*z2*z3^2 + 
    4557000*ln2^3*z5 - 25641000*ln2*z2*z5 - 47635875*z3*z5)/9408000, 
 H[0, -1, 0, 0, -1, -1, -1, 0, 1] -> 
  (655725*s8a - 504000*s6*z2 - 713404*z2^4 - 1144500*z2*z3^2 + 
    976500*ln2*z2*z5 + 5554500*z3*z5)/672000, 
 H[0, -1, 0, 0, -1, -1, -1, -1, 1] -> 
  (378000*ln2^2*s6 - 756000*ln2*s7a - 2520000*ln2*s7b + 2695350*s8a + 
    5082000*s8b + 2520000*s8c - 756000*s8d + 630000*s6*z2 - 
    151200*li4half*z2^2 - 6300*ln2^4*z2^2 - 113400*ln2^2*z2^3 + 36041*z2^4 + 
    1512000*li5half*z3 - 12600*ln2^5*z3 + 126000*ln2^3*z2*z3 - 
    78750*ln2*z2^2*z3 - 472500*ln2^2*z3^2 - 2937375*z2*z3^2 + 
    1139250*ln2^3*z5 - 102375*ln2*z2*z5 + 4181625*z3*z5 - 11886000*ln2*z7)/
   1176000, H[0, -1, 0, -1, 1, 1, 1, 1, 1] -> 
  (-21168000*li4half^2 - 56448000*li8half - 1764000*li4half*ln2^4 - 
    38150*ln2^8 + 52416000*ln2^2*s6 - 83736450*s8a - 285264000*s8b - 
    104832000*s8c + 55440000*s8d + 70560000*li6half*z2 - 
    21168000*li5half*ln2*z2 + 313600*ln2^6*z2 - 75600000*s6*z2 + 
    40370400*li4half*z2^2 + 770700*ln2^4*z2^2 - 24872400*ln2^2*z2^3 - 
    47748132*z2^4 - 3276000*li5half*z3 - 384300*ln2^5*z3 + 
    13104000*ln2^3*z2*z3 + 110413800*ln2*z2^2*z3 + 14742000*ln2^2*z3^2 + 
    87499125*z2*z3^2 + 417028500*ln2*z2*z5 - 93043125*z3*z5)/14112000, 
 H[0, -1, 0, -1, 1, 1, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    159264000*ln2^2*s6 + 294520275*s8a + 635544000*s8b + 318528000*s8c - 
    205632000*s8d + 56448000*li6half*z2 - 56448000*li4half*ln2^2*z2 - 
    2273600*ln2^6*z2 + 347760000*s6*z2 - 152611200*li4half*z2^2 - 
    478800*ln2^4*z2^2 + 43898400*ln2^2*z2^3 + 91480104*z2^4 - 
    96768000*li5half*z3 + 98784000*li4half*ln2*z3 + 4922400*ln2^5*z3 - 
    40992000*ln2^3*z2*z3 - 418257000*ln2*z2^2*z3 + 4599000*ln2^2*z3^2 - 
    290603250*z2*z3^2 - 955584000*ln2*z2*z5 + 530530875*z3*z5)/28224000, 
 H[0, -1, 0, -1, 1, 1, 1, -1, 1] -> (67737600*li4half^2 + 270950400*li8half + 
    45158400*li7half*ln2 + 5644800*li4half*ln2^4 + 115360*ln2^8 - 
    87292800*ln2^2*s6 + 39513600*ln2*s7a + 28224000*ln2*s7b + 139949775*s8a + 
    675057600*s8b + 95558400*s8c + 45561600*s8d + 22579200*li6half*z2 + 
    101606400*li5half*ln2*z2 + 16934400*li4half*ln2^2*z2 - 109760*ln2^6*z2 - 
    156038400*s6*z2 - 43948800*li4half*z2^2 - 3900960*ln2^4*z2^2 + 
    40430880*ln2^2*z2^3 - 19209888*z2^4 - 158860800*li5half*z3 + 
    88905600*li4half*ln2*z3 + 5357520*ln2^5*z3 - 38052000*ln2^3*z2*z3 - 
    190101240*ln2*z2^2*z3 + 53241300*ln2^2*z3^2 - 121457700*z2*z3^2 + 
    10936800*ln2^3*z5 - 498355200*ln2*z2*z5 + 266945175*z3*z5 + 
    317497950*ln2*z7)/11289600, H[0, -1, 0, -1, 1, 1, 0, 1, 1] -> 
  (-169344000*li4half^2 - 14112000*li4half*ln2^4 - 294000*ln2^8 + 
    34272000*ln2^2*s6 - 115280550*s8a + 29232000*s8b - 68544000*s8c + 
    68544000*s8d - 1128960000*li6half*z2 - 338688000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 4782400*ln2^6*z2 - 602784000*s6*z2 + 
    191520000*li4half*z2^2 - 7308000*ln2^4*z2^2 + 11239200*ln2^2*z2^3 + 
    122417292*z2^4 + 229824000*li5half*z3 - 296352000*li4half*ln2*z3 - 
    14263200*ln2^5*z3 + 76776000*ln2^3*z2*z3 + 288477000*ln2*z2^2*z3 - 
    132363000*ln2^2*z3^2 + 227808000*z2*z3^2 + 308164500*ln2*z2*z5 - 
    410720625*z3*z5)/28224000, H[0, -1, 0, -1, 1, 1, 0, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    3628800*ln2^2*s6 - 1305675*s8a - 16128000*s8b + 7257600*s8c - 
    7257600*s8d - 5644800*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 
    16632000*s6*z2 + 8850240*li4half*z2^2 + 1074360*ln2^4*z2^2 + 
    100800*ln2^2*z2^3 + 3071004*z2^4 - 2419200*li5half*z3 + 
    19756800*li4half*ln2*z3 + 843360*ln2^5*z3 - 5140800*ln2^3*z2*z3 + 
    8535240*ln2*z2^2*z3 + 3918600*ln2^2*z3^2 - 8199450*z2*z3^2 - 
    21772800*ln2*z2*z5 - 19909575*z3*z5)/2822400, 
 H[0, -1, 0, -1, 1, 1, 0, -1, 1] -> 
  (-4515840*li4half^2 - 376320*li4half*ln2^4 - 7840*ln2^8 - 
    1128960*ln2^2*s6 - 6370560*ln2*s7a - 8628480*ln2*s7b + 9941400*s8a + 
    28385280*s8b + 14999040*s8c - 8225280*s8d - 1128960*li6half*z2 + 
    2257920*li4half*ln2^2*z2 + 92512*ln2^6*z2 + 13487040*s6*z2 + 
    2362752*li4half*z2^2 - 160272*ln2^4*z2^2 - 697536*ln2^2*z2^3 + 
    5835792*z2^4 + 16450560*li5half*z3 - 7902720*li4half*ln2*z3 - 
    466368*ln2^5*z3 + 3181920*ln2^3*z2*z3 + 4417056*ln2*z2^2*z3 - 
    10689840*ln2^2*z3^2 - 11013345*z2*z3^2 + 2187360*ln2^3*z5 - 
    19580400*ln2*z2*z5 - 17637480*z3*z5 - 69282990*ln2*z7)/564480, 
 H[0, -1, 0, -1, 1, 1, -1, 1, 1] -> 
  (-338688000*li4half^2 - 1016064000*li8half + 56448000*li6half*ln2^2 - 
    28224000*li4half*ln2^4 - 534800*ln2^8 + 154224000*ln2^2*s6 - 
    531816075*s8a - 2779056000*s8b - 280224000*s8c - 312480000*s8d + 
    112896000*li6half*z2 - 42336000*li5half*ln2*z2 + 39200*ln2^6*z2 + 
    1101240000*s6*z2 + 173880000*li4half*z2^2 + 28530600*ln2^4*z2^2 - 
    85024800*ln2^2*z2^3 + 97782948*z2^4 + 670824000*li5half*z3 - 
    296352000*li4half*ln2*z3 - 17115000*ln2^5*z3 + 42378000*ln2^3*z2*z3 + 
    471844800*ln2*z2^2*z3 - 26853750*ln2^2*z3^2 + 307298250*z2*z3^2 + 
    650821500*ln2*z2*z5 - 864234000*z3*z5)/28224000, 
 H[0, -1, 0, -1, 1, 1, -1, 0, 1] -> 
  (33868800*li4half^2 + 2822400*li4half*ln2^4 + 58800*ln2^8 + 
    10080000*ln2^2*s6 - 8733375*s8a - 7257600*s8b - 20160000*s8c + 
    20160000*s8d + 5644800*li6half*z2 - 16934400*li4half*ln2^2*z2 - 
    697760*ln2^6*z2 - 38908800*s6*z2 - 14454720*li4half*z2^2 + 
    1396920*ln2^4*z2^2 + 2691360*ln2^2*z2^3 - 8193834*z2^4 - 
    40320000*li5half*z3 + 19756800*li4half*ln2*z3 + 1159200*ln2^5*z3 - 
    7476000*ln2^3*z2*z3 + 5544000*ln2*z2^2*z3 + 10861200*ln2^2*z3^2 + 
    13080375*z2*z3^2 + 60480000*ln2*z2*z5 + 31429125*z3*z5)/2822400, 
 H[0, -1, 0, -1, 1, 1, -1, -1, 1] -> 
  (-225792000*li4half^2 + 903168000*li8half - 225792000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 18816000*li4half*ln2^4 - 481600*ln2^8 + 
    144144000*ln2^2*s6 - 379008000*ln2*s7a - 195552000*ln2*s7b + 
    328814325*s8a + 2277576000*s8b + 413280000*s8c - 46368000*s8d + 
    225792000*li6half*z2 + 282240000*li4half*ln2^2*z2 + 12857600*ln2^6*z2 + 
    64512000*s6*z2 + 188294400*li4half*z2^2 - 61303200*ln2^4*z2^2 - 
    158860800*ln2^2*z2^3 + 108978192*z2^4 + 120960000*li5half*z3 - 
    592704000*li4half*ln2*z3 - 27350400*ln2^5*z3 + 292908000*ln2^3*z2*z3 + 
    193498200*ln2*z2^2*z3 - 658665000*ln2^2*z3^2 - 324072000*z2*z3^2 - 
    177723000*ln2^3*z5 - 671139000*ln2*z2*z5 - 935605125*z3*z5 - 
    2464284375*ln2*z7)/56448000, H[0, -1, 0, -1, 1, 0, 1, 1, 1] -> 
  (322560*li4half^2 + 26880*li4half*ln2^4 + 560*ln2^8 - 125440*ln2^2*s6 + 
    158655*s8a + 159040*s8b + 250880*s8c - 250880*s8d + 645120*li6half*z2 + 
    430080*li5half*ln2*z2 - 53760*li4half*ln2^2*z2 - 4928*ln2^6*z2 + 
    819840*s6*z2 - 215040*li4half*z2^2 + 6720*ln2^4*z2^2 + 47488*ln2^2*z2^3 + 
    54184*z2^4 - 322560*li5half*z3 + 188160*li4half*ln2*z3 + 10528*ln2^5*z3 - 
    73920*ln2^3*z2*z3 - 353472*ln2*z2^2*z3 + 50960*ln2^2*z3^2 - 
    365680*z2*z3^2 - 1286460*ln2*z2*z5 + 537600*z3*z5)/17920, 
 H[0, -1, 0, -1, 1, 0, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 4069800*s8a - 2688000*s8b - 8064000*s8c + 
    8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    15456000*s6*z2 + 4670400*li4half*z2^2 - 309400*ln2^4*z2^2 - 
    966000*ln2^2*z2^3 - 4142573*z2^4 + 5376000*li5half*z3 - 
    4704000*li4half*ln2*z3 - 240800*ln2^5*z3 + 1624000*ln2^3*z2*z3 + 
    8563800*ln2*z2^2*z3 - 42000*ln2^2*z3^2 + 5901000*z2*z3^2 + 
    24192000*ln2*z2*z5 - 6095250*z3*z5)/336000, 
 H[0, -1, 0, -1, 1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    109872000*ln2^2*s6 + 9072000*ln2*s7a + 65520000*ln2*s7b - 199500525*s8a - 
    630504000*s8b - 237888000*s8c + 68544000*s8d - 211680000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 52416000*s6*z2 + 
    85680000*li4half*z2^2 + 42000*ln2^4*z2^2 - 77162400*ln2^2*z2^3 - 
    70250904*z2^4 + 4032000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    2091600*ln2^5*z3 + 31206000*ln2^3*z2*z3 + 129269700*ln2*z2^2*z3 + 
    32445000*ln2^2*z3^2 + 207191250*z2*z3^2 - 54684000*ln2^3*z5 + 
    772458750*ln2*z2*z5 - 165083625*z3*z5 + 318205125*ln2*z7)/7056000, 
 H[0, -1, 0, -1, 1, 0, 0, 1, 1] -> (-672000*ln2^2*s6 + 175350*s8a - 
    2688000*s8b + 1344000*s8c - 1344000*s8d + 1680000*s6*z2 - 
    168000*li4half*z2^2 - 7000*ln2^4*z2^2 + 8400*ln2^2*z2^3 + 527091*z2^4 + 
    1344000*li5half*z3 - 11200*ln2^5*z3 + 112000*ln2^3*z2*z3 - 
    352800*ln2*z2^2*z3 - 630000*ln2^2*z3^2 + 934500*z2*z3^2 + 
    850500*ln2*z2*z5 - 5147625*z3*z5)/336000, 
 H[0, -1, 0, -1, 1, 0, 0, 0, 1] -> (335475*s8a + 2184000*s8b - 336000*s6*z2 + 
    705600*li4half*z2^2 + 29400*ln2^4*z2^2 - 176400*ln2^2*z2^3 - 
    367574*z2^4 - 205800*ln2*z2^2*z3 - 157500*z2*z3^2 + 724500*z3*z5)/168000, 
 H[0, -1, 0, -1, 1, 0, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 4032000*ln2*s7a - 4032000*ln2*s7b - 767025*s8a - 
    3528000*s8b + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    3024000*s6*z2 + 6552000*li4half*z2^2 - 231000*ln2^4*z2^2 - 
    2343600*ln2^2*z2^3 - 2436039*z2^4 - 3024000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 562800*ln2^5*z3 + 3276000*ln2^3*z2*z3 + 
    4725000*ln2*z2^2*z3 - 3717000*ln2^2*z3^2 + 992250*z2*z3^2 + 
    11844000*ln2*z2*z5 + 5567625*z3*z5 - 5126625*ln2*z7)/1008000, 
 H[0, -1, 0, -1, 1, 0, -1, 1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    135072000*ln2^2*s6 + 189935550*s8a + 579600000*s8b + 213696000*s8c - 
    44352000*s8d - 1016064000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 - 574560000*s6*z2 - 
    96364800*li4half*z2^2 + 3040800*ln2^4*z2^2 + 131191200*ln2^2*z2^3 + 
    178570368*z2^4 + 363888000*li5half*z3 + 197568000*li4half*ln2*z3 + 
    5199600*ln2^5*z3 - 56112000*ln2^3*z2*z3 - 53033400*ln2*z2^2*z3 - 
    41076000*ln2^2*z3^2 + 65079000*z2*z3^2 - 244849500*ln2*z2*z5 - 
    325607625*z3*z5)/14112000, H[0, -1, 0, -1, 1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 1231650*s8a + 6048000*s8b - 8064000*s8c + 
    8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    18144000*s6*z2 + 8164800*li4half*z2^2 - 163800*ln2^4*z2^2 - 
    1839600*ln2^2*z2^3 - 7157019*z2^4 - 10080000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 504000*ln2^5*z3 + 2688000*ln2^3*z2*z3 + 
    6640200*ln2*z2^2*z3 - 1512000*ln2^2*z3^2 + 1417500*z2*z3^2 + 
    24192000*ln2*z2*z5 + 26412750*z3*z5)/1008000, 
 H[0, -1, 0, -1, 1, 0, -1, -1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    56448000*ln2^2*s6 - 92736000*ln2*s7a - 318528000*ln2*s7b + 
    295136100*s8a + 1137024000*s8b + 185472000*s8c + 153216000*s8d + 
    112896000*li4half*ln2^2*z2 + 4704000*ln2^6*z2 - 546336000*s6*z2 + 
    214099200*li4half*z2^2 - 5191200*ln2^4*z2^2 - 46166400*ln2^2*z2^3 - 
    120555144*z2^4 - 320544000*li5half*z3 - 395136000*li4half*ln2*z3 - 
    13792800*ln2^5*z3 + 72072000*ln2^3*z2*z3 + 10584000*ln2*z2^2*z3 - 
    33516000*ln2^2*z3^2 - 237667500*z2*z3^2 + 218736000*ln2^3*z5 + 
    386316000*ln2*z2*z5 + 892213875*z3*z5 - 1155569625*ln2*z7)/28224000, 
 H[0, -1, 0, -1, 1, -1, 1, 1, 1] -> 
  (135475200*li4half^2 + 496742400*li8half + 7526400*li5half*ln2^3 + 
    11289600*li4half*ln2^4 + 184800*ln2^8 - 96969600*ln2^2*s6 + 
    299138175*s8a + 1721966400*s8b + 193939200*s8c + 161683200*s8d - 
    293529600*li6half*z2 - 73382400*li5half*ln2*z2 - 
    33868800*li4half*ln2^2*z2 - 925120*ln2^6*z2 - 635241600*s6*z2 - 
    47537280*li4half*z2^2 - 7578480*ln2^4*z2^2 + 57163680*ln2^2*z2^3 + 
    7557624*z2^4 - 319132800*li5half*z3 + 118540800*li4half*ln2*z3 + 
    7927920*ln2^5*z3 - 57405600*ln2^3*z2*z3 - 272757240*ln2*z2^2*z3 + 
    29528100*ln2^2*z3^2 - 219057300*z2*z3^2 + 1822800*ln2^3*z5 - 
    611893800*ln2*z2*z5 + 498863925*z3*z5)/11289600, 
 H[0, -1, 0, -1, 1, -1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    19152000*ln2^2*s6 - 49828275*s8a - 260820000*s8b - 38304000*s8c - 
    18144000*s8d - 28224000*li6half*z2 + 7056000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 490000*ln2^6*z2 + 57456000*s6*z2 + 
    957600*li4half*z2^2 - 548100*ln2^4*z2^2 - 2570400*ln2^2*z2^3 + 
    1143801*z2^4 + 78624000*li5half*z3 - 655200*ln2^5*z3 + 
    7581000*ln2^3*z2*z3 + 50620500*ln2*z2^2*z3 - 787500*ln2^2*z3^2 + 
    49785750*z2*z3^2 + 116620875*ln2*z2*z5 - 112368375*z3*z5)/3528000, 
 H[0, -1, 0, -1, 1, -1, 1, -1, 1] -> 
  (-361267200*li8half - 22579200*li7half*ln2 - 3763200*li5half*ln2^3 + 
    26880*ln2^8 + 43545600*ln2^2*s6 + 17740800*ln2*s7a + 14918400*ln2*s7b - 
    167617800*s8a - 987033600*s8b - 122572800*s8c - 80640000*s8d - 
    45158400*li6half*z2 - 56448000*li5half*ln2*z2 - 
    33868800*li4half*ln2^2*z2 - 1160320*ln2^6*z2 + 251596800*s6*z2 - 
    24030720*li4half*z2^2 + 6901440*ln2^4*z2^2 - 9223200*ln2^2*z2^3 + 
    27795312*z2^4 + 200793600*li5half*z3 + 59270400*li4half*ln2*z3 + 
    631680*ln2^5*z3 + 2150400*ln2^3*z2*z3 + 114654960*ln2*z2^2*z3 + 
    36943200*ln2^2*z3^2 + 136735200*z2*z3^2 + 1822800*ln2^3*z5 + 
    391280400*ln2*z2*z5 - 187985700*z3*z5 + 89521425*ln2*z7)/5644800, 
 H[0, -1, 0, -1, 1, -1, 0, 1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 - 
    9676800*ln2^2*s6 + 4132800*s8a - 27014400*s8b + 19353600*s8c - 
    19353600*s8d + 248371200*li6half*z2 + 79027200*li5half*ln2*z2 + 
    11289600*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 153014400*s6*z2 + 
    15321600*li4half*z2^2 + 638400*ln2^4*z2^2 - 15795360*ln2^2*z2^3 - 
    25076784*z2^4 - 41731200*li5half*z3 - 39513600*li4half*ln2*z3 - 
    1298640*ln2^5*z3 + 8047200*ln2^3*z2*z3 - 10243800*ln2*z2^2*z3 - 
    18774000*ln2^2*z3^2 - 37976400*z2*z3^2 - 88137000*ln2*z2*z5 - 
    6055875*z3*z5)/2822400, H[0, -1, 0, -1, 1, -1, 0, 0, 1] -> 
  (241920*ln2^2*s6 - 68040*s8a + 1498560*s8b - 483840*s8c + 483840*s8d - 
    1202880*s6*z2 + 491904*li4half*z2^2 + 20496*ln2^4*z2^2 - 
    277200*ln2^2*z2^3 - 334109*z2^4 + 443520*li5half*z3 - 3696*ln2^5*z3 + 
    36960*ln2^3*z2*z3 + 311808*ln2*z2^2*z3 + 191520*ln2^2*z3^2 + 
    63000*z2*z3^2 + 1451520*ln2*z2*z5 - 200025*z3*z5)/94080, 
 H[0, -1, 0, -1, 1, -1, 0, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    18144000*ln2^2*s6 - 8064000*ln2*s7a - 21590100*s8a - 88704000*s8b - 
    20160000*s8c - 4032000*s8d + 8064000*li6half*z2 + 
    2016000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 + 330400*ln2^6*z2 + 
    19656000*s6*z2 + 12297600*li4half*z2^2 - 495600*ln2^4*z2^2 - 
    8920800*ln2^2*z2^3 - 6199656*z2^4 + 7056000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 1234800*ln2^5*z3 + 7938000*ln2^3*z2*z3 + 
    23814000*ln2*z2^2*z3 - 7686000*ln2^2*z3^2 + 19813500*z2*z3^2 - 
    7812000*ln2^3*z5 + 60716250*ln2*z2*z5 - 27806625*z3*z5 + 3874500*ln2*z7)/
   1008000, H[0, -1, 0, -1, 1, -1, -1, 1, 1] -> 
  (11289600*li4half^2 - 45158400*li8half - 22579200*li6half*ln2^2 - 
    7526400*li5half*ln2^3 + 940800*li4half*ln2^4 + 49840*ln2^8 - 
    49996800*ln2^2*s6 - 3986325*s8a - 287985600*s8b + 63302400*s8c - 
    108460800*s8d + 124185600*li6half*z2 + 84672000*li5half*ln2*z2 + 
    2822400*li4half*ln2^2*z2 - 540960*ln2^6*z2 + 242323200*s6*z2 - 
    24232320*li4half*z2^2 + 4446960*ln2^4*z2^2 + 7126560*ln2^2*z2^3 + 
    24805656*z2^4 + 130838400*li5half*z3 - 1419600*ln2^5*z3 + 
    14196000*ln2^3*z2*z3 + 24028200*ln2*z2^2*z3 - 54501300*ln2^2*z3^2 + 
    25861500*z2*z3^2 - 1822800*ln2^3*z5 - 97561800*ln2*z2*z5 - 
    301689675*z3*z5)/11289600, H[0, -1, 0, -1, 1, -1, -1, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    1008000*ln2^2*s6 + 18698400*s8a + 110880000*s8b + 2016000*s8c + 
    22176000*s8d + 8064000*li6half*z2 - 4032000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 128800*ln2^6*z2 - 56448000*s6*z2 + 
    7459200*li4half*z2^2 - 445200*ln2^4*z2^2 - 806400*ln2^2*z2^3 - 
    11210166*z2^4 - 13104000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    184800*ln2^5*z3 + 84000*ln2^3*z2*z3 - 3843000*ln2*z2^2*z3 + 
    157500*ln2^2*z3^2 - 19797750*z2*z3^2 - 7024500*ln2*z2*z5 + 
    66220875*z3*z5)/2016000, H[0, -1, 0, -1, 1, -1, -1, -1, 1] -> 
  (-479808000*li4half^2 + 1354752000*li8half + 225792000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    39984000*li4half*ln2^4 - 1001000*ln2^8 + 458640000*ln2^2*s6 - 
    354816000*ln2*s7a - 227808000*ln2*s7b + 123870600*s8a + 1039248000*s8b - 
    24192000*s8c + 137088000*s8d + 451584000*li6half*z2 + 
    239904000*li4half*ln2^2*z2 + 11407200*ln2^6*z2 - 302400000*s6*z2 + 
    416908800*li4half*z2^2 - 38018400*ln2^4*z2^2 - 282592800*ln2^2*z2^3 - 
    334805904*z2^4 - 302400000*li5half*z3 - 839664000*li4half*ln2*z3 - 
    30819600*ln2^5*z3 + 171780000*ln2^3*z2*z3 + 267422400*ln2*z2^2*z3 - 
    298557000*ln2^2*z3^2 - 94311000*z2*z3^2 - 113925000*ln2^3*z5 + 
    737793000*ln2*z2*z5 + 195615000*z3*z5 - 746195625*ln2*z7)/56448000, 
 H[0, -1, 0, -1, 0, 1, 1, 1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 - 335475*s8a - 
    12096000*li6half*z2 - 12096000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 3024000*s6*z2 + 
    1411200*li4half*z2^2 - 193200*ln2^4*z2^2 - 352800*ln2^2*z2^3 + 
    1999614*z2^4 + 21168000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    470400*ln2^5*z3 + 1764000*ln2^3*z2*z3 + 1234800*ln2*z2^2*z3 - 
    3087000*ln2^2*z3^2 + 1787625*z2*z3^2 + 5859000*ln2*z2*z5 - 
    10103625*z3*z5)/2016000, H[0, -1, 0, -1, 0, 1, 1, 0, 1] -> 
  (1152000*li4half^2 + 96000*li4half*ln2^4 + 2000*ln2^8 - 182700*s8a - 
    576000*li4half*ln2^2*z2 - 24000*ln2^6*z2 + 388800*li4half*z2^2 + 
    88200*ln2^4*z2^2 - 97200*ln2^2*z2^3 - 2937*z2^4 - 2016000*li5half*z3 + 
    16800*ln2^5*z3 - 168000*ln2^3*z2*z3 + 340200*ln2*z2^2*z3 + 
    90000*z2*z3^2 + 78750*z3*z5)/144000, H[0, -1, 0, -1, 0, 1, 1, -1, 1] -> 
  (-8064000*ln2^2*s6 - 28224000*ln2*s7a - 47040000*ln2*s7b + 62174175*s8a + 
    226800000*s8b + 72576000*s8c - 16128000*s8d + 28224000*li5half*ln2*z2 - 
    235200*ln2^6*z2 - 1848000*s6*z2 + 5006400*li4half*z2^2 + 
    2560600*ln2^4*z2^2 + 9710400*ln2^2*z2^3 + 18626738*z2^4 + 
    13440000*li5half*z3 - 49392000*li4half*ln2*z3 - 2170000*ln2^5*z3 + 
    1120000*ln2^3*z2*z3 + 12616800*ln2*z2^2*z3 - 45486000*ln2^2*z3^2 - 
    56747250*z2*z3^2 + 18228000*ln2^3*z5 - 86236500*ln2*z2*z5 - 
    3751125*z3*z5 - 365221500*ln2*z7)/4704000, 
 H[0, -1, 0, -1, 0, 1, 0, 1, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 + 374850*s8a - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 1915200*li4half*z2^2 + 
    21000*ln2^4*z2^2 + 478800*ln2^2*z2^3 + 201609*z2^4 + 
    2822400*li4half*ln2*z3 + 117600*ln2^5*z3 - 705600*ln2^3*z2*z3 - 
    1675800*ln2*z2^2*z3 + 1234800*ln2^2*z3^2 - 220500*z2*z3^2 + 
    1874250*z3*z5)/201600, H[0, -1, 0, -1, 0, 1, 0, 0, 1] -> 
  (26775*s8a - 386400*li4half*z2^2 - 16100*ln2^4*z2^2 + 96600*ln2^2*z2^3 + 
    86059*z2^4 - 338100*ln2*z2^2*z3 + 76125*z2*z3^2 + 217875*z3*z5)/28000, 
 H[0, -1, 0, -1, 0, 1, 0, -1, 1] -> 
  (1152000*li4half^2 + 96000*li4half*ln2^4 + 2000*ln2^8 - 576000*ln2^2*s6 + 
    1152000*ln2*s7a + 1152000*ln2*s7b - 538050*s8a - 384000*s8b - 
    1152000*s8c + 1152000*s8d - 576000*li4half*ln2^2*z2 - 24000*ln2^6*z2 - 
    2304000*s6*z2 - 763200*li4half*z2^2 + 40200*ln2^4*z2^2 + 
    421200*ln2^2*z2^3 - 465303*z2^4 - 2304000*li5half*z3 + 
    2016000*li4half*ln2*z3 + 103200*ln2^5*z3 - 696000*ln2^3*z2*z3 - 
    1438200*ln2*z2^2*z3 + 1602000*ln2^2*z3^2 + 738000*z2*z3^2 + 
    72000*ln2*z2*z5 + 2781750*z3*z5 + 8799000*ln2*z7)/48000, 
 H[0, -1, 0, -1, 0, 1, -1, 1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 + 5846400*ln2^2*s6 - 
    6502650*s8a - 19488000*s8b - 9811200*s8c + 4166400*s8d + 
    11289600*li6half*z2 + 5644800*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 
    86240*ln2^6*z2 - 571200*s6*z2 - 2600640*li4half*z2^2 - 
    931560*ln2^4*z2^2 - 2177280*ln2^2*z2^3 - 4285762*z2^4 - 
    14448000*li5half*z3 + 120400*ln2^5*z3 + 2912000*ln2^3*z2*z3 + 
    1586760*ln2*z2^2*z3 + 2364600*ln2^2*z3^2 + 4624200*z2*z3^2 + 
    24009300*ln2*z2*z5 + 13649475*z3*z5)/470400, 
 H[0, -1, 0, -1, 0, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    12096000*ln2^2*s6 + 10703700*s8a - 5040000*s8b + 24192000*s8c - 
    24192000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 
    50400000*s6*z2 - 4737600*li4half*z2^2 - 701400*ln2^4*z2^2 + 
    579600*ln2^2*z2^3 + 12543717*z2^4 + 48384000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 184800*ln2^5*z3 + 504000*ln2^3*z2*z3 - 
    10445400*ln2*z2^2*z3 - 3402000*ln2^2*z3^2 - 14899500*z2*z3^2 - 
    72576000*ln2*z2*z5 - 45092250*z3*z5)/1008000, 
 H[0, -1, 0, -1, 0, 1, -1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    83059200*ln2^2*s6 + 67737600*ln2*s7a + 90316800*ln2*s7b + 10659600*s8a - 
    70761600*s8b + 8064000*s8c - 8064000*s8d - 90316800*li4half*ln2^2*z2 - 
    3763200*ln2^6*z2 + 23184000*s6*z2 - 96163200*li4half*z2^2 + 
    11516400*ln2^4*z2^2 + 51307200*ln2^2*z2^3 + 7133772*z2^4 + 
    13305600*li5half*z3 + 237081600*li4half*ln2*z3 + 9767520*ln2^5*z3 - 
    87796800*ln2^3*z2*z3 - 126614880*ln2*z2^2*z3 + 97650000*ln2^2*z3^2 - 
    18131400*z2*z3^2 - 21873600*ln2^3*z5 - 290203200*ln2*z2*z5 + 
    84834225*z3*z5 + 664752375*ln2*z7)/5644800, 
 H[0, -1, 0, -1, 0, 0, 1, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 335475*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 7560000*s6*z2 + 
    6048000*li4half*z2^2 - 252000*ln2^4*z2^2 - 1512000*ln2^2*z2^3 - 
    387504*z2^4 - 14112000*li4half*ln2*z3 - 588000*ln2^5*z3 + 
    3528000*ln2^3*z2*z3 + 5292000*ln2*z2^2*z3 - 6174000*ln2^2*z3^2 + 
    10316250*z2*z3^2 + 14647500*ln2*z2*z5 - 28365750*z3*z5)/2016000, 
 H[0, -1, 0, -1, 0, 0, 1, 0, 1] -> (-20700*s8a + 38400*li4half*z2^2 + 
    1600*ln2^4*z2^2 - 9600*ln2^2*z2^3 - 9822*z2^4 + 33600*ln2*z2^2*z3 - 
    9750*z2*z3^2 + 4875*z3*z5)/8000, H[0, -1, 0, -1, 0, 0, 1, -1, 1] -> 
  (1881600*ln2^2*s6 - 2553600*ln2*s7a - 2553600*ln2*s7b - 512925*s8a - 
    1680000*s8b + 1344000*s8c - 1344000*s8d + 4099200*s6*z2 + 
    624960*li4half*z2^2 + 26040*ln2^4*z2^2 - 636720*ln2^2*z2^3 + 
    749607*z2^4 + 2688000*li5half*z3 - 3292800*li4half*ln2*z3 - 
    159600*ln2^5*z3 + 1047200*ln2^3*z2*z3 + 3598560*ln2*z2^2*z3 - 
    3381000*ln2^2*z3^2 - 1059450*z2*z3^2 - 1492050*ln2*z2*z5 - 
    3646125*z3*z5 - 11481225*ln2*z7)/470400, 
 H[0, -1, 0, -1, 0, 0, 0, 1, 1] -> 
  (335475*s8a + 1008000*s6*z2 - 268800*li4half*z2^2 - 11200*ln2^4*z2^2 + 
    67200*ln2^2*z2^3 + 5676*z2^4 - 235200*ln2*z2^2*z3 - 1039500*z2*z3^2 - 
    1953000*ln2*z2*z5 + 2827125*z3*z5)/168000, 
 H[0, -1, 0, -1, 0, 0, 0, 0, 1] -> (-26775*s8a + 64481*z2^4 - 301875*z3*z5)/
   28000, H[0, -1, 0, -1, 0, 0, 0, -1, 1] -> 
  (65550*s8a + 312000*s8b - 33600*li4half*z2^2 - 1400*ln2^4*z2^2 + 
    8400*ln2^2*z2^3 + 43083*z2^4 - 29400*ln2*z2^2*z3 - 33750*z2*z3^2 - 
    68250*z3*z5 - 619125*ln2*z7)/24000, H[0, -1, 0, -1, 0, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    18144000*ln2^2*s6 + 23944725*s8a - 45360000*s8b + 36288000*s8c - 
    36288000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    136080000*s6*z2 + 4032000*li4half*z2^2 - 3360000*ln2^4*z2^2 - 
    1915200*ln2^2*z2^3 + 15293196*z2^4 + 72576000*li5half*z3 - 
    604800*ln2^5*z3 + 6048000*ln2^3*z2*z3 - 36792000*ln2*z2^2*z3 + 
    10332000*ln2^2*z3^2 - 64701000*z2*z3^2 - 165091500*ln2*z2*z5 + 
    62133750*z3*z5)/14112000, H[0, -1, 0, -1, 0, 0, -1, 0, 1] -> 
  (-23975*s8a + 47040*li4half*z2^2 + 1960*ln2^4*z2^2 - 11760*ln2^2*z2^3 + 
    5079*z2^4 + 41160*ln2*z2^2*z3 + 38150*z2*z3^2 - 191275*z3*z5)/11200, 
 H[0, -1, 0, -1, 0, 0, -1, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    2016000*ln2^2*s6 + 4032000*ln2*s7a + 4032000*ln2*s7b - 5329800*s8a + 
    35380800*s8b - 4032000*s8c + 4032000*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 - 8064000*s6*z2 + 9273600*li4half*z2^2 - 
    319200*ln2^4*z2^2 - 1512000*ln2^2*z2^3 + 5241564*z2^4 - 
    8064000*li5half*z3 - 19756800*li4half*ln2*z3 - 756000*ln2^5*z3 + 
    4267200*ln2^3*z2*z3 + 5418000*ln2*z2^2*z3 - 6123600*ln2^2*z3^2 + 
    8933400*z2*z3^2 + 252000*ln2*z2*z5 - 42014700*z3*z5 - 42079275*ln2*z7)/
   2822400, H[0, -1, 0, -1, 0, -1, 1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    108864000*ln2^2*s6 + 127053675*s8a + 214704000*s8b + 217728000*s8c - 
    161280000*s8d + 84672000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 
    470400*ln2^6*z2 + 220248000*s6*z2 + 17841600*li4half*z2^2 + 
    4271400*ln2^4*z2^2 + 30542400*ln2^2*z2^3 + 83058918*z2^4 + 
    117936000*li5half*z3 - 98784000*li4half*ln2*z3 - 5098800*ln2^5*z3 - 
    2520000*ln2^3*z2*z3 - 82807200*ln2*z2^2*z3 - 95445000*ln2^2*z3^2 - 
    55140750*z2*z3^2 - 18228000*ln2^3*z5 - 577993500*ln2*z2*z5 - 
    324639000*z3*z5)/14112000, H[0, -1, 0, -1, 0, -1, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    12096000*ln2^2*s6 - 12322800*s8a + 5040000*s8b - 24192000*s8c + 
    24192000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    48384000*s6*z2 + 11390400*li4half*z2^2 - 29400*ln2^4*z2^2 - 
    2242800*ln2^2*z2^3 - 12672123*z2^4 - 20160000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 420000*ln2^5*z3 + 1848000*ln2^3*z2*z3 + 
    16266600*ln2*z2^2*z3 + 3402000*ln2^2*z3^2 + 13324500*z2*z3^2 + 
    68670000*ln2*z2*z5 + 22349250*z3*z5)/1008000, 
 H[0, -1, 0, -1, 0, -1, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    108864000*ln2^2*s6 - 42336000*ln2*s7a - 14112000*ln2*s7b - 
    124782525*s8a - 433440000*s8b - 133056000*s8c + 20160000*s8d - 
    84672000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1881600*ln2^6*z2 + 
    19656000*s6*z2 + 49896000*li4half*z2^2 - 8505000*ln2^4*z2^2 - 
    63352800*ln2^2*z2^3 - 37344774*z2^4 + 16128000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 4250400*ln2^5*z3 + 63084000*ln2^3*z2*z3 + 
    137138400*ln2*z2^2*z3 - 34209000*ln2^2*z3^2 + 113132250*z2*z3^2 - 
    18228000*ln2^3*z5 + 495085500*ln2*z2*z5 - 98996625*z3*z5 - 
    70890750*ln2*z7)/7056000, H[0, -1, 0, -1, 0, -1, 0, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 1445850*s8a - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 10080000*s6*z2 - 
    7156800*li4half*z2^2 + 205800*ln2^4*z2^2 + 1789200*ln2^2*z2^3 + 
    1285821*z2^4 + 14112000*li4half*ln2*z3 + 588000*ln2^5*z3 - 
    3528000*ln2^3*z2*z3 - 6262200*ln2*z2^2*z3 + 6174000*ln2^2*z3^2 - 
    9954000*z2*z3^2 - 19530000*ln2*z2*z5 + 24806250*z3*z5)/1008000, 
 H[0, -1, 0, -1, 0, -1, 0, 0, 1] -> 
  (-80325*s8a - 235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 58800*ln2^2*z2^3 + 
    175003*z2^4 - 205800*ln2*z2^2*z3 + 252000*z2*z3^2 - 895125*z3*z5)/56000, 
 H[0, -1, 0, -1, 0, -1, 0, -1, 1] -> 
  (1152000*li4half^2 + 96000*li4half*ln2^4 + 2000*ln2^8 - 576000*ln2^2*s6 + 
    1152000*ln2*s7a + 1152000*ln2*s7b - 581400*s8a + 1152000*s8b - 
    1152000*s8c + 1152000*s8d - 576000*li4half*ln2^2*z2 - 24000*ln2^6*z2 - 
    2016000*s6*z2 - 705600*li4half*z2^2 + 42600*ln2^4*z2^2 + 
    406800*ln2^2*z2^3 - 114129*z2^4 - 2304000*li5half*z3 + 
    2016000*li4half*ln2*z3 + 103200*ln2^5*z3 - 696000*ln2^3*z2*z3 - 
    1387800*ln2*z2^2*z3 + 1602000*ln2^2*z3^2 + 661500*z2*z3^2 - 
    486000*ln2*z2*z5 + 1404000*z3*z5 + 5751000*ln2*z7)/144000, 
 H[0, -1, 0, -1, 0, -1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    104832000*ln2^2*s6 + 193414725*s8a + 926856000*s8b + 96768000*s8c + 
    129024000*s8d - 508032000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 - 395640000*s6*z2 + 
    24393600*li4half*z2^2 + 15128400*ln2^4*z2^2 + 94953600*ln2^2*z2^3 + 
    45539196*z2^4 - 74592000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    4737600*ln2^5*z3 - 105000000*ln2^3*z2*z3 - 195602400*ln2*z2^2*z3 + 
    143388000*ln2^2*z3^2 - 255150000*z2*z3^2 + 36456000*ln2^3*z5 - 
    559534500*ln2*z2*z5 + 793894500*z3*z5)/28224000, 
 H[0, -1, 0, -1, 0, -1, -1, 0, 1] -> 
  (-988575*s8a - 672000*s6*z2 + 168000*li4half*z2^2 + 7000*ln2^4*z2^2 - 
    42000*ln2^2*z2^3 + 759893*z2^4 + 147000*ln2*z2^2*z3 + 2446500*z2*z3^2 + 
    1302000*ln2*z2*z5 - 9048375*z3*z5)/336000, 
 H[0, -1, 0, -1, 0, -1, -1, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    16128000*ln2^2*s6 + 32256000*ln2*s7a + 16128000*ln2*s7b - 2828700*s8a + 
    108360000*s8b - 16128000*s8c + 32256000*s8d - 4032000*li4half*ln2^2*z2 - 
    168000*ln2^6*z2 - 72576000*s6*z2 + 504000*ln2^4*z2^2 + 
    6451200*ln2^2*z2^3 - 1210992*z2^4 - 64512000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 1125600*ln2^5*z3 - 8904000*ln2^3*z2*z3 - 
    25704000*ln2*z2^2*z3 + 26334000*ln2^2*z3^2 + 12348000*z2*z3^2 + 
    10416000*ln2^3*z5 + 1512000*ln2*z2*z5 + 18333000*z3*z5 + 41761125*ln2*z7)/
   4032000, H[0, -1, 0, -1, -1, 1, 1, 1, 1] -> 
  (-239904000*li4half^2 - 451584000*li8half - 15288000*li4half*ln2^4 - 
    231700*ln2^8 + 67536000*ln2^2*s6 - 236198025*s8a - 1577520000*s8b - 
    135072000*s8c - 196560000*s8d + 437472000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 568400*ln2^6*z2 + 
    742392000*s6*z2 + 19252800*li4half*z2^2 + 9151800*ln2^4*z2^2 - 
    58867200*ln2^2*z2^3 - 12180744*z2^4 + 460152000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 7127400*ln2^5*z3 + 42756000*ln2^3*z2*z3 + 
    214515000*ln2*z2^2*z3 - 30397500*ln2^2*z3^2 + 116849250*z2*z3^2 + 
    425722500*ln2*z2*z5 - 420115500*z3*z5)/28224000, 
 H[0, -1, 0, -1, -1, 1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    8064000*ln2^2*s6 + 66995775*s8a + 530208000*s8b + 16128000*s8c + 
    96768000*s8d + 56448000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    509600*ln2^6*z2 - 241164000*s6*z2 + 75448800*li4half*z2^2 + 
    1967700*ln2^4*z2^2 - 7018200*ln2^2*z2^3 - 39406356*z2^4 - 
    391104000*li5half*z3 - 105840000*li4half*ln2*z3 - 1150800*ln2^5*z3 - 
    2016000*ln2^3*z2*z3 - 53959500*ln2*z2^2*z3 - 5355000*ln2^2*z3^2 - 
    43903125*z2*z3^2 - 48384000*ln2*z2*z5 + 319244625*z3*z5)/14112000, 
 H[0, -1, 0, -1, -1, 1, 1, -1, 1] -> 
  (-483840*li4half^2 - 1290240*li8half - 1290240*li7half*ln2 - 
    94080*li4half*ln2^4 - 2856*ln2^8 + 1411200*ln2^2*s6 - 1693440*ln2*s7a - 
    1370880*ln2*s7b + 901845*s8a + 4616640*s8b + 564480*s8c + 322560*s8d + 
    1935360*li5half*ln2*z2 + 1290240*li4half*ln2^2*z2 + 46592*ln2^6*z2 - 
    1774080*s6*z2 + 999936*li4half*z2^2 - 135072*ln2^4*z2^2 - 
    218304*ln2^2*z2^3 - 17712*z2^4 - 1935360*li5half*z3 - 
    4515840*li4half*ln2*z3 - 181440*ln2^5*z3 + 967680*ln2^3*z2*z3 + 
    1593144*ln2*z2^2*z3 - 2125620*ln2^2*z3^2 - 379260*z2*z3^2 - 
    312480*ln2^3*z5 + 1794240*ln2*z2*z5 + 1410885*z3*z5 - 11369295*ln2*z7)/
   322560, H[0, -1, 0, -1, -1, 1, 0, 1, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 + 
    34272000*ln2^2*s6 - 33320700*s8a - 34272000*s8b - 68544000*s8c + 
    68544000*s8d - 1241856000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 2430400*ln2^6*z2 - 623952000*s6*z2 - 
    255124800*li4half*z2^2 - 9454200*ln2^4*z2^2 + 122900400*ln2^2*z2^3 + 
    173262408*z2^4 + 229824000*li5half*z3 + 423360000*li4half*ln2*z3 + 
    15724800*ln2^5*z3 - 70224000*ln2^3*z2*z3 - 73143000*ln2*z2^2*z3 + 
    151641000*ln2^2*z3^2 + 177534000*z2*z3^2 + 308164500*ln2*z2*z5 + 
    58613625*z3*z5)/28224000, H[0, -1, 0, -1, -1, 1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    23184000*ln2^2*s6 + 28338975*s8a - 33264000*s8b + 46368000*s8c - 
    46368000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    101556000*s6*z2 - 78422400*li4half*z2^2 - 1503600*ln2^4*z2^2 + 
    24683400*ln2^2*z2^3 + 34028751*z2^4 + 50400000*li5half*z3 + 
    70560000*li4half*ln2*z3 + 2520000*ln2^5*z3 - 13440000*ln2^3*z2*z3 - 
    78416100*ln2*z2^2*z3 + 2740500*ln2^2*z3^2 - 14986125*z2*z3^2 - 
    139104000*ln2*z2*z5 - 16506000*z3*z5)/7056000, 
 H[0, -1, 0, -1, -1, 1, 0, -1, 1] -> 
  (31610880*li4half^2 + 2634240*li4half*ln2^4 + 54880*ln2^8 - 
    20321280*ln2^2*s6 + 19514880*ln2*s7a + 14999040*ln2*s7b + 8131725*s8a + 
    38767680*s8b + 1612800*s8c + 11934720*s8d - 4515840*li6half*z2 - 
    14676480*li4half*ln2^2*z2 - 617792*ln2^6*z2 - 30502080*s6*z2 - 
    23917824*li4half*z2^2 + 790944*ln2^4*z2^2 + 12120192*ln2^2*z2^3 - 
    103776*z2^4 - 23869440*li5half*z3 + 54190080*li4half*ln2*z3 + 
    2456832*ln2^5*z3 - 15207360*ln2^3*z2*z3 - 35463456*ln2*z2^2*z3 + 
    25401600*ln2^2*z3^2 - 5632830*z2*z3^2 + 4374720*ln2^3*z5 - 
    48756960*ln2*z2*z5 + 48807045*z3*z5 + 116513775*ln2*z7)/1128960, 
 H[0, -1, 0, -1, -1, 1, -1, 1, 1] -> 
  (42336000*li4half^2 + 526848000*li8half - 18816000*li6half*ln2^2 + 
    1960000*li4half*ln2^4 - 4900*ln2^8 - 38304000*ln2^2*s6 + 201516525*s8a + 
    1475376000*s8b + 81312000*s8c + 217392000*s8d - 61152000*li6half*z2 - 
    14112000*li5half*ln2*z2 + 30576000*li4half*ln2^2*z2 + 1724800*ln2^6*z2 - 
    593544000*s6*z2 + 15724800*li4half*z2^2 - 14201600*ln2^4*z2^2 + 
    13952400*ln2^2*z2^3 - 61291176*z2^4 - 419496000*li5half*z3 - 
    9408000*li4half*ln2*z3 + 2829400*ln2^5*z3 - 5558000*ln2^3*z2*z3 - 
    189646800*ln2*z2^2*z3 + 14180250*ln2^2*z3^2 - 150396750*z2*z3^2 - 
    310527000*ln2*z2*z5 + 474544875*z3*z5)/9408000, 
 H[0, -1, 0, -1, -1, 1, -1, 0, 1] -> 
  (-47376000*ln2^2*s6 - 50543325*s8a - 742896000*s8b + 94752000*s8c - 
    264096000*s8d - 112896000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    744800*ln2^6*z2 + 593460000*s6*z2 - 92332800*li4half*z2^2 + 
    2032800*ln2^4*z2^2 + 8744400*ln2^2*z2^3 + 129893238*z2^4 + 
    485856000*li5half*z3 + 204624000*li4half*ln2*z3 + 4477200*ln2^5*z3 - 
    14784000*ln2^3*z2*z3 - 14943600*ln2*z2^2*z3 + 11371500*ln2^2*z3^2 + 
    26452125*z2*z3^2 - 284256000*ln2*z2*z5 - 639536625*z3*z5)/14112000, 
 H[0, -1, 0, -1, -1, 1, -1, -1, 1] -> 
  (79027200*li4half^2 - 135475200*li8half + 15052800*li7half*ln2 + 
    7526400*li6half*ln2^2 + 7212800*li4half*ln2^4 + 167440*ln2^8 - 
    32726400*ln2^2*s6 + 46636800*ln2*s7a + 34406400*ln2*s7b - 43885275*s8a - 
    350011200*s8b - 29702400*s8c - 35212800*s8d - 22579200*li6half*z2 - 
    51744000*li4half*ln2^2*z2 - 2344160*ln2^6*z2 + 101472000*s6*z2 - 
    71675520*li4half*z2^2 + 7080080*ln2^4*z2^2 + 27672960*ln2^2*z2^3 + 
    20949864*z2^4 + 69484800*li5half*z3 + 151939200*li4half*ln2*z3 + 
    5861520*ln2^5*z3 - 40308800*ln2^3*z2*z3 - 28812840*ln2*z2^2*z3 + 
    69514200*ln2^2*z3^2 + 28686000*z2*z3^2 + 11848200*ln2^3*z5 - 
    11579400*ln2*z2*z5 - 6806625*z3*z5 + 232361850*ln2*z7)/3763200, 
 H[0, -1, 0, -1, -1, 0, 1, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 2564100*s8a - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 4536000*s6*z2 - 
    2016000*li4half*z2^2 + 420000*ln2^4*z2^2 + 504000*ln2^2*z2^3 + 
    99396*z2^4 - 16128000*li5half*z3 - 2016000*li4half*ln2*z3 + 
    50400*ln2^5*z3 - 840000*ln2^3*z2*z3 - 1764000*ln2*z2^2*z3 - 
    882000*ln2^2*z3^2 + 6063750*z2*z3^2 + 8788500*ln2*z2*z5 - 3252375*z3*z5)/
   4032000, H[0, -1, 0, -1, -1, 0, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 3266550*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 5140800*li4half*z2^2 - 
    289800*ln2^4*z2^2 - 1285200*ln2^2*z2^3 + 67317*z2^4 + 
    8064000*li5half*z3 - 6048000*li4half*ln2*z3 - 319200*ln2^5*z3 + 
    2184000*ln2^3*z2*z3 + 4498200*ln2*z2^2*z3 - 2646000*ln2^2*z3^2 + 
    803250*z2*z3^2 - 11804625*z3*z5)/1008000, 
 H[0, -1, 0, -1, -1, 0, 1, -1, 1] -> 
  (-451584000*li4half^2 - 37632000*li4half*ln2^4 - 784000*ln2^8 + 
    84672000*ln2^2*s6 - 92736000*ln2*s7a - 92736000*ln2*s7b - 85502025*s8a + 
    25704000*s8b + 16128000*s8c - 16128000*s8d - 169344000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 3763200*ln2^6*z2 + 46368000*s6*z2 + 
    338284800*li4half*z2^2 + 14095200*ln2^4*z2^2 - 101203200*ln2^2*z2^3 - 
    8199684*z2^4 + 145152000*li5half*z3 - 578592000*li4half*ln2*z3 - 
    25317600*ln2^5*z3 + 82656000*ln2^3*z2*z3 + 280828800*ln2*z2^2*z3 - 
    198450000*ln2^2*z3^2 + 64417500*z2*z3^2 + 155232000*ln2*z2*z5 - 
    477311625*z3*z5 - 255929625*ln2*z7)/28224000, 
 H[0, -1, 0, -1, -1, 0, 0, 1, 1] -> 
  (1496775*s8a - 1008000*s6*z2 + 672000*li4half*z2^2 + 28000*ln2^4*z2^2 - 
    168000*ln2^2*z2^3 - 964776*z2^4 - 2688000*li5half*z3 - 
    2688000*li4half*ln2*z3 - 89600*ln2^5*z3 + 448000*ln2^3*z2*z3 + 
    588000*ln2*z2^2*z3 - 1176000*ln2^2*z3^2 - 588000*z2*z3^2 + 
    1953000*ln2*z2*z5 + 6134625*z3*z5)/672000, 
 H[0, -1, 0, -1, -1, 0, 0, 0, 1] -> 
  (-103425*s8a + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 58800*ln2^2*z2^3 + 
    109757*z2^4 + 205800*ln2*z2^2*z3 - 378000*z2*z3^2 - 391125*z3*z5)/168000, 
 H[0, -1, 0, -1, -1, 0, 0, -1, 1] -> 
  (1344000*ln2^2*s6 - 2688000*ln2*s7a - 2688000*ln2*s7b + 2840775*s8a + 
    5880000*s8b + 2688000*s8c - 2688000*s8d + 5376000*s6*z2 - 
    201600*li4half*z2^2 - 8400*ln2^4*z2^2 - 487200*ln2^2*z2^3 + 
    1613454*z2^4 + 3360000*li5half*z3 - 2016000*li4half*ln2*z3 - 
    112000*ln2^5*z3 + 784000*ln2^3*z2*z3 + 1621200*ln2*z2^2*z3 - 
    2562000*ln2^2*z3^2 - 3055500*z2*z3^2 - 168000*ln2*z2*z5 - 2661750*z3*z5 - 
    30421125*ln2*z7)/672000, H[0, -1, 0, -1, -1, 0, -1, 1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    19152000*ln2^2*s6 + 23985675*s8a - 111384000*s8b + 38304000*s8c - 
    38304000*s8d + 84672000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 + 69552000*s6*z2 - 97977600*li4half*z2^2 - 
    9374400*ln2^4*z2^2 + 23536800*ln2^2*z2^3 + 18249678*z2^4 - 
    15120000*li5half*z3 + 105840000*li4half*ln2*z3 + 4536000*ln2^5*z3 + 
    9324000*ln2^3*z2*z3 - 47136600*ln2*z2^2*z3 - 10017000*ln2^2*z3^2 - 
    3591000*z2*z3^2 - 80514000*ln2*z2*z5 + 17112375*z3*z5)/14112000, 
 H[0, -1, 0, -1, -1, 0, -1, 0, 1] -> 
  (-322560*li4half^2 - 26880*li4half*ln2^4 - 560*ln2^8 + 
    161280*li4half*ln2^2*z2 + 6720*ln2^6*z2 + 221760*li4half*z2^2 - 
    10920*ln2^4*z2^2 - 55440*ln2^2*z2^3 - 53439*z2^4 + 241920*li5half*z3 - 
    322560*li4half*ln2*z3 - 15456*ln2^5*z3 + 100800*ln2^3*z2*z3 + 
    194040*ln2*z2^2*z3 - 141120*ln2^2*z3^2 - 40950*z2*z3^2 - 68985*z3*z5)/
   40320, H[0, -1, 0, -1, -1, 0, -1, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    2553600*ln2^2*s6 - 5107200*ln2*s7a - 5107200*ln2*s7b - 718725*s8a + 
    3964800*s8b + 5107200*s8c - 5107200*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 + 10214400*s6*z2 + 8010240*li4half*z2^2 - 
    371840*ln2^4*z2^2 - 3024000*ln2^2*z2^3 + 3324228*z2^4 + 
    9273600*li5half*z3 - 20697600*li4half*ln2*z3 - 939680*ln2^5*z3 + 
    5947200*ln2^3*z2*z3 + 10424400*ln2*z2^2*z3 - 12247200*ln2^2*z3^2 + 
    961800*z2*z3^2 - 319200*ln2*z2*z5 - 28647150*z3*z5 - 43498350*ln2*z7)/
   1881600, H[0, -1, 0, -1, -1, -1, 1, 1, 1] -> 
  (84672000*li4half^2 - 1354752000*li8half - 37632000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 35000*ln2^8 - 71568000*ln2^2*s6 - 160361775*s8a - 
    3163608000*s8b + 143136000*s8c - 749952000*s8d + 310464000*li6half*z2 + 
    366912000*li5half*ln2*z2 - 2469600*ln2^6*z2 + 1739808000*s6*z2 - 
    188092800*li4half*z2^2 + 22974000*ln2^4*z2^2 + 73231200*ln2^2*z2^3 + 
    224440416*z2^4 + 801360000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    7148400*ln2^5*z3 + 3276000*ln2^3*z2*z3 + 129540600*ln2*z2^2*z3 - 
    106564500*ln2^2*z3^2 + 173785500*z2*z3^2 - 41013000*ln2^3*z5 - 
    224343000*ln2*z2*z5 - 862966125*z3*z5)/56448000, 
 H[0, -1, 0, -1, -1, -1, 1, 0, 1] -> 
  (-338688000*li4half^2 - 28224000*li4half*ln2^4 - 588000*ln2^8 + 
    143136000*ln2^2*s6 - 154442925*s8a + 615384000*s8b - 286272000*s8c + 
    399168000*s8d + 56448000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 6428800*ln2^6*z2 - 865368000*s6*z2 + 
    325382400*li4half*z2^2 - 6434400*ln2^4*z2^2 - 63403200*ln2^2*z2^3 - 
    184287888*z2^4 - 374976000*li5half*z3 - 479808000*li4half*ln2*z3 - 
    16867200*ln2^5*z3 + 80472000*ln2^3*z2*z3 + 265885200*ln2*z2^2*z3 - 
    40005000*ln2^2*z3^2 + 160902000*z2*z3^2 + 797296500*ln2*z2*z5 + 
    250180875*z3*z5)/28224000, H[0, -1, 0, -1, -1, -1, 1, -1, 1] -> 
  (-263424000*li4half^2 + 827904000*li8half + 75264000*li7half*ln2 + 
    12544000*li5half*ln2^3 - 18816000*li4half*ln2^4 - 425600*ln2^8 + 
    45024000*ln2^2*s6 - 62496000*ln2*s7a - 53088000*ln2*s7b + 126343350*s8a + 
    1553328000*s8b + 34944000*s8c + 252000000*s8d - 
    150528000*li5half*ln2*z2 + 103488000*li4half*ln2^2*z2 + 
    5566400*ln2^6*z2 - 670992000*s6*z2 + 256435200*li4half*z2^2 - 
    16598400*ln2^4*z2^2 - 98061600*ln2^2*z2^3 - 127471704*z2^4 - 
    409920000*li5half*z3 - 421008000*li4half*ln2*z3 - 13577200*ln2^5*z3 + 
    99316000*ln2^3*z2*z3 + 23234400*ln2*z2^2*z3 - 140658000*ln2^2*z3^2 - 
    35910000*z2*z3^2 + 4557000*ln2^3*z5 + 122703000*ln2*z2*z5 + 
    59624250*z3*z5 - 220166625*ln2*z7)/18816000, 
 H[0, -1, 0, -1, -1, -1, 0, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 2775150*s8a - 
    16128000*li6half*z2 - 16128000*li5half*ln2*z2 - 
    12096000*li4half*ln2^2*z2 - 392000*ln2^6*z2 + 24192000*s6*z2 - 
    8064000*li4half*z2^2 + 1176000*ln2^4*z2^2 + 2016000*ln2^2*z2^3 + 
    7696056*z2^4 + 10080000*li5half*z3 + 24192000*li4half*ln2*z3 + 
    924000*ln2^5*z3 - 7560000*ln2^3*z2*z3 - 7056000*ln2*z2^2*z3 + 
    10584000*ln2^2*z3^2 - 18837000*z2*z3^2 - 46872000*ln2*z2*z5 + 
    28846125*z3*z5)/4032000, H[0, -1, 0, -1, -1, -1, 0, 0, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 + 593775*s8a - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 1209600*li4half*z2^2 + 
    50400*ln2^4*z2^2 + 302400*ln2^2*z2^3 + 244536*z2^4 - 1209600*li5half*z3 + 
    1612800*li4half*ln2*z3 + 77280*ln2^5*z3 - 504000*ln2^3*z2*z3 - 
    1058400*ln2*z2^2*z3 + 705600*ln2^2*z3^2 + 403200*z2*z3^2 - 163800*z3*z5)/
   403200, H[0, -1, 0, -1, -1, -1, 0, -1, 1] -> 
  (3456000*li4half^2 + 288000*li4half*ln2^4 + 6000*ln2^8 - 576000*ln2^2*s6 + 
    1152000*ln2*s7a + 1152000*ln2*s7b + 702450*s8a + 5256000*s8b - 
    1152000*s8c + 1152000*s8d - 1152000*li6half*z2 - 1152000*li5half*ln2*z2 - 
    2304000*li4half*ln2^2*z2 - 88000*ln2^6*z2 - 1656000*s6*z2 - 
    2534400*li4half*z2^2 + 182400*ln2^4*z2^2 + 864000*ln2^2*z2^3 + 
    589272*z2^4 - 1728000*li5half*z3 + 6624000*li4half*ln2*z3 + 
    290400*ln2^5*z3 - 1968000*ln2^3*z2*z3 - 2988000*ln2*z2^2*z3 + 
    3618000*ln2^2*z3^2 - 1197000*z2*z3^2 - 1183500*ln2*z2*z5 + 
    4324500*z3*z5 - 2392875*ln2*z7)/576000, 
 H[0, -1, 0, -1, -1, -1, -1, 1, 1] -> 
  (225792000*li4half^2 - 903168000*li8half + 112896000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 604800*ln2^8 - 
    122976000*ln2^2*s6 + 19824525*s8a - 642600000*s8b + 118944000*s8c - 
    133056000*s8d - 479808000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 5605600*ln2^6*z2 + 322560000*s6*z2 - 
    208656000*li4half*z2^2 + 12356400*ln2^4*z2^2 + 149637600*ln2^2*z2^3 + 
    210076704*z2^4 + 329616000*li5half*z3 + 395136000*li4half*ln2*z3 + 
    15363600*ln2^5*z3 - 99540000*ln2^3*z2*z3 - 125937000*ln2*z2^2*z3 + 
    118219500*ln2^2*z3^2 - 177628500*z2*z3^2 + 41013000*ln2^3*z5 - 
    695520000*ln2*z2*z5 + 456096375*z3*z5)/56448000, 
 H[0, -1, 0, -1, -1, -1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 1611225*s8a + 
    8064000*li6half*z2 + 8064000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 + 
    280000*ln2^6*z2 - 4536000*s6*z2 + 6451200*li4half*z2^2 - 
    739200*ln2^4*z2^2 - 1612800*ln2^2*z2^3 - 2042604*z2^4 - 
    2016000*li5half*z3 - 16128000*li4half*ln2*z3 - 655200*ln2^5*z3 + 
    5040000*ln2^3*z2*z3 + 5644800*ln2*z2^2*z3 - 7056000*ln2^2*z3^2 + 
    8505000*z2*z3^2 + 8788500*ln2*z2*z5 - 24381000*z3*z5)/4032000, 
 H[0, -1, 0, -1, -1, -1, -1, -1, 1] -> 
  (-112896000*li8half - 112896000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    21672000*ln2^2*s6 + 43344000*ln2*s7a - 20160000*ln2*s7b + 44388225*s8a + 
    412272000*s8b + 20160000*s8c + 43344000*s8d + 392000*ln2^6*z2 - 
    118440000*s6*z2 + 8668800*li4half*z2^2 + 361200*ln2^4*z2^2 + 
    6501600*ln2^2*z2^3 + 35511516*z2^4 - 86688000*li5half*z3 - 
    100800*ln2^5*z3 - 7224000*ln2^3*z2*z3 - 37674000*ln2*z2^2*z3 + 
    27090000*ln2^2*z3^2 - 28791000*z2*z3^2 + 41013000*ln2^3*z5 + 
    724500*ln2*z2*z5 + 2197125*z3*z5 - 390686625*ln2*z7)/28224000, 
 H[0, -1, -1, 1, 1, 1, 1, 1, 1] -> (403200*li8half + 10*ln2^8 + 15075*s8a + 
    201600*s8b + 28800*s8d - 43200*li6half*z2 - 40*ln2^6*z2 - 86400*s6*z2 + 
    5760*li4half*z2^2 - 600*ln2^4*z2^2 - 9360*ln2^2*z2^3 - 28548*z2^4 - 
    86400*li5half*z3 + 720*ln2^5*z3 - 4320*ln2*z2^2*z3 + 10800*z2*z3^2 + 
    43200*ln2*z2*z5 - 51525*z3*z5)/28800, H[0, -1, -1, 1, 1, 1, 1, 0, 1] -> 
  (-903168000*li8half - 22400*ln2^8 - 73584000*ln2^2*s6 + 92611575*s8a - 
    113400000*s8b + 147168000*s8c - 133056000*s8d + 627200*ln2^6*z2 + 
    230832000*s6*z2 - 26611200*li4half*z2^2 - 1873200*ln2^4*z2^2 + 
    37648800*ln2^2*z2^3 + 116379072*z2^4 + 287280000*li5half*z3 - 
    2394000*ln2^5*z3 - 4284000*ln2^3*z2*z3 - 116235000*ln2*z2^2*z3 - 
    20695500*ln2^2*z3^2 - 97807500*z2*z3^2 - 441504000*ln2*z2*z5 + 
    65370375*z3*z5)/56448000, H[0, -1, -1, 1, 1, 1, 1, -1, 1] -> 
  (-1612800*li4half^2 - 14515200*li8half + 1612800*li7half*ln2 - 
    134400*li4half*ln2^4 - 3480*ln2^8 - 1209600*ln2^2*s6 + 403200*ln2*s7a + 
    403200*ln2*s7b + 327600*s8a - 10483200*s8b + 1612800*s8c - 2419200*s8d - 
    1612800*li6half*z2 - 2419200*li5half*ln2*z2 - 403200*li4half*ln2^2*z2 + 
    4480*ln2^6*z2 + 4838400*s6*z2 + 241920*li4half*z2^2 + 137760*ln2^4*z2^2 + 
    436320*ln2^2*z2^3 + 1539504*z2^4 + 6652800*li5half*z3 - 55440*ln2^5*z3 - 
    201600*ln2^3*z2*z3 - 846720*ln2*z2^2*z3 + 277200*ln2^2*z3^2 - 
    900900*z2*z3^2 - 6098400*ln2*z2*z5 + 1083600*z3*z5 + 9813825*ln2*z7)/
   1612800, H[0, -1, -1, 1, 1, 1, 0, 1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    20764800*ln2^2*s6 - 24152625*s8a + 73080000*s8b - 41529600*s8c + 
    55641600*s8d + 16934400*li6half*z2 - 50803200*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 + 329280*ln2^6*z2 - 104227200*s6*z2 + 
    17055360*li4half*z2^2 - 1935360*ln2^4*z2^2 - 8910720*ln2^2*z2^3 - 
    20218608*z2^4 - 50601600*li5half*z3 + 421680*ln2^5*z3 + 
    7072800*ln2^3*z2*z3 + 27596520*ln2*z2^2*z3 + 5840100*ln2^2*z3^2 + 
    7200900*z2*z3^2 + 108183600*ln2*z2*z5 + 60941475*z3*z5)/11289600, 
 H[0, -1, -1, 1, 1, 1, 0, 0, 1] -> (19152000*ln2^2*s6 - 67335975*s8a - 
    353136000*s8b - 38304000*s8c - 41664000*s8d - 28224000*li6half*z2 - 
    39200*ln2^6*z2 + 109200000*s6*z2 + 2721600*li4half*z2^2 + 
    3347400*ln2^4*z2^2 - 8038800*ln2^2*z2^3 + 9624504*z2^4 + 
    66864000*li5half*z3 - 557200*ln2^5*z3 + 868000*ln2^3*z2*z3 + 
    71068200*ln2*z2^2*z3 + 5386500*ln2^2*z3^2 + 53938500*z2*z3^2 + 
    114912000*ln2*z2*z5 - 152536125*z3*z5)/9408000, 
 H[0, -1, -1, 1, 1, 1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 6773760000*li8half - 1354752000*li7half*ln2 - 
    4704000*li4half*ln2^4 + 2800*ln2^8 + 670320000*ln2^2*s6 - 
    258048000*ln2*s7a - 187488000*ln2*s7b - 1468796175*s8a - 
    10315368000*s8b - 824544000*s8c - 1010016000*s8d - 56448000*li6half*z2 + 
    70560000*li4half*ln2^2*z2 + 1920800*ln2^6*z2 + 2923200000*s6*z2 - 
    135676800*li4half*z2^2 + 5401200*ln2^4*z2^2 - 38203200*ln2^2*z2^3 + 
    548833392*z2^4 + 2012976000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    25006800*ln2^5*z3 + 271824000*ln2^3*z2*z3 + 1416756600*ln2*z2^2*z3 - 
    206608500*ln2^2*z3^2 + 1037358000*z2*z3^2 - 68355000*ln2^3*z5 + 
    3022173000*ln2*z2*z5 - 1007787375*z3*z5 - 648041625*ln2*z7)/56448000, 
 H[0, -1, -1, 1, 1, 1, -1, 1, 1] -> (33868800*li4half^2 - 304819200*li8half + 
    5644800*li6half*ln2^2 + 2822400*li4half*ln2^4 + 59080*ln2^8 + 
    50601600*ln2^2*s6 - 102883725*s8a - 508536000*s8b - 72979200*s8c - 
    31449600*s8d - 5644800*li6half*z2 + 16934400*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 + 39200*ln2^6*z2 + 120758400*s6*z2 - 
    21530880*li4half*z2^2 - 2226000*ln2^4*z2^2 + 3538080*ln2^2*z2^3 + 
    24480216*z2^4 + 38908800*li5half*z3 - 324240*ln2^5*z3 + 
    2889600*ln2^3*z2*z3 + 65033640*ln2*z2^2*z3 + 12688200*ln2^2*z3^2 + 
    64612800*z2*z3^2 + 134794800*ln2*z2*z5 - 15156225*z3*z5)/11289600, 
 H[0, -1, -1, 1, 1, 1, -1, 0, 1] -> 
  (-169344000*li4half^2 + 1128960000*li8half - 14112000*li4half*ln2^4 - 
    266000*ln2^8 + 79632000*ln2^2*s6 - 109416825*s8a + 1512000*s8b - 
    159264000*s8c + 102816000*s8d + 112896000*li6half*z2 - 
    42336000*li4half*ln2^2*z2 - 2391200*ln2^6*z2 - 22176000*s6*z2 + 
    103824000*li4half*z2^2 + 20790000*ln2^4*z2^2 - 76608000*ln2^2*z2^3 - 
    140851152*z2^4 + 76608000*li5half*z3 - 638400*ln2^5*z3 - 
    39480000*ln2^3*z2*z3 + 202469400*ln2*z2^2*z3 + 22396500*ln2^2*z3^2 + 
    116361000*z2*z3^2 + 477792000*ln2*z2*z5 - 583529625*z3*z5)/56448000, 
 H[0, -1, -1, 1, 1, 1, -1, -1, 1] -> 
  (80640000*li8half - 24192000*li7half*ln2 - 4032000*li6half*ln2^2 + 
    1200*ln2^8 - 26064000*ln2^2*s6 - 11232000*ln2*s7a - 15264000*ln2*s7b + 
    53721675*s8a + 318024000*s8b + 54432000*s8c + 16128000*s8d + 
    24192000*li6half*z2 + 128800*ln2^6*z2 - 43344000*s6*z2 + 
    3225600*li4half*z2^2 - 764400*ln2^4*z2^2 + 1324800*ln2^2*z2^3 + 
    7390728*z2^4 - 32256000*li5half*z3 + 268800*ln2^5*z3 + 
    8400000*ln2^3*z2*z3 - 29165400*ln2*z2^2*z3 - 23427000*ln2^2*z3^2 - 
    51187500*z2*z3^2 + 3906000*ln2^3*z5 - 118332000*ln2*z2*z5 - 
    2071125*z3*z5 - 156576375*ln2*z7)/8064000, 
 H[0, -1, -1, 1, 1, 0, 1, 1, 1] -> 
  (423360000*li4half^2 + 35280000*li4half*ln2^4 + 735000*ln2^8 - 
    194544000*ln2^2*s6 + 468494775*s8a + 1792728000*s8b + 389088000*s8c + 
    6048000*s8d + 451584000*li6half*z2 + 508032000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 - 1842400*ln2^6*z2 - 244944000*s6*z2 - 
    168134400*li4half*z2^2 - 11121600*ln2^4*z2^2 + 98582400*ln2^2*z2^3 - 
    4882176*z2^4 - 548352000*li5half*z3 + 4569600*ln2^5*z3 - 
    49224000*ln2^3*z2*z3 - 423372600*ln2*z2^2*z3 - 54715500*ln2^2*z3^2 - 
    348484500*z2*z3^2 - 1290303000*ln2*z2*z5 + 644639625*z3*z5)/56448000, 
 H[0, -1, -1, 1, 1, 0, 1, 0, 1] -> 
  (-169344000*li4half^2 - 14112000*li4half*ln2^4 - 294000*ln2^8 + 
    12096000*ln2^2*s6 + 14866425*s8a - 36792000*s8b - 24192000*s8c + 
    24192000*s8d + 112896000*li6half*z2 + 84672000*li4half*ln2^2*z2 + 
    3684800*ln2^6*z2 + 18648000*s6*z2 + 21772800*li4half*z2^2 - 
    12028800*ln2^4*z2^2 - 14389200*ln2^2*z2^3 - 41978292*z2^4 + 
    78624000*li5half*z3 - 655200*ln2^5*z3 + 34776000*ln2^3*z2*z3 - 
    13456800*ln2*z2^2*z3 + 3402000*ln2^2*z3^2 - 35106750*z2*z3^2 + 
    72576000*ln2*z2*z5 + 138505500*z3*z5)/28224000, 
 H[0, -1, -1, 1, 1, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 18063360000*li8half + 3612672000*li7half*ln2 + 
    4704000*li4half*ln2^4 - 170800*ln2^8 - 2885904000*ln2^2*s6 + 
    778176000*ln2*s7a - 407232000*ln2*s7b + 6195780675*s8a + 
    38407320000*s8b + 4215456000*s8c + 3405024000*s8d + 
    903168000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    239904000*li4half*ln2^2*z2 - 6938400*ln2^6*z2 - 10260432000*s6*z2 + 
    596332800*li4half*z2^2 - 1495200*ln2^4*z2^2 + 438530400*ln2^2*z2^3 - 
    1309669992*z2^4 - 6866496000*li5half*z3 + 444528000*li4half*ln2*z3 + 
    75742800*ln2^5*z3 - 766248000*ln2^3*z2*z3 - 4969099800*ln2*z2^2*z3 + 
    379921500*ln2^2*z3^2 - 4833423000*z2*z3^2 + 1148364000*ln2^3*z5 - 
    11372067000*ln2*z2*z5 + 5310876375*z3*z5 - 4710793500*ln2*z7)/56448000, 
 H[0, -1, -1, 1, 1, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    34272000*ln2^2*s6 - 110815425*s8a - 634032000*s8b - 68544000*s8c - 
    72576000*s8d + 56448000*li6half*z2 + 42336000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 568400*ln2^6*z2 + 303912000*s6*z2 + 
    302400*li4half*z2^2 + 5892600*ln2^4*z2^2 - 24570000*ln2^2*z2^3 - 
    1203828*z2^4 + 173376000*li5half*z3 - 1444800*ln2^5*z3 + 
    7392000*ln2^3*z2*z3 + 89938800*ln2*z2^2*z3 + 9639000*ln2^2*z3^2 + 
    48596625*z2*z3^2 + 154365750*ln2*z2*z5 - 195678000*z3*z5)/14112000, 
 H[0, -1, -1, 1, 1, 0, 0, 0, 1] -> (-4032000*ln2^2*s6 + 22901025*s8a + 
    175728000*s8b + 8064000*s8c + 29568000*s8d - 80304000*s6*z2 + 
    16968000*li4half*z2^2 + 707000*ln2^4*z2^2 - 1318800*ln2^2*z2^3 - 
    7376976*z2^4 - 30912000*li5half*z3 + 257600*ln2^5*z3 - 
    2576000*ln2^3*z2*z3 - 9861600*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 
    11928000*z2*z3^2 - 24192000*ln2*z2*z5 + 23178750*z3*z5)/4704000, 
 H[0, -1, -1, 1, 1, 0, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    234360000*ln2^2*s6 - 109872000*ln2*s7a + 31248000*ln2*s7b - 
    355365675*s8a - 1750896000*s8b - 248976000*s8c - 202608000*s8d - 
    56448000*li6half*z2 + 35280000*li4half*ln2^2*z2 + 1391600*ln2^6*z2 + 
    604548000*s6*z2 - 7358400*li4half*z2^2 - 6186600*ln2^4*z2^2 - 
    94537800*ln2^2*z2^3 + 20590062*z2^4 + 451080000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 7875000*ln2^5*z3 + 75516000*ln2^3*z2*z3 + 
    339387300*ln2*z2^2*z3 - 102327750*ln2^2*z3^2 + 296816625*z2*z3^2 - 
    136710000*ln2^3*z5 + 650727000*ln2*z2*z5 - 788578875*z3*z5 + 
    85782375*ln2*z7)/14112000, H[0, -1, -1, 1, 1, 0, -1, 1, 1] -> 
  (-4515840*li4half^2 - 180633600*li8half + 9031680*li6half*ln2^2 - 
    376320*li4half*ln2^4 + 224*ln2^8 + 24917760*ln2^2*s6 - 66457125*s8a - 
    418783680*s8b - 47013120*s8c - 36529920*s8d - 8467200*li6half*z2 - 
    6773760*li5half*ln2*z2 - 1128960*li4half*ln2^2*z2 - 65072*ln2^6*z2 + 
    112573440*s6*z2 - 5273856*li4half*z2^2 + 1377264*ln2^4*z2^2 - 
    3099600*ln2^2*z2^3 + 11344464*z2^4 + 80821440*li5half*z3 - 
    673512*ln2^5*z3 + 5817840*ln2^3*z2*z3 + 54375552*ln2*z2^2*z3 + 
    5835060*ln2^2*z3^2 + 51784110*z2*z3^2 + 150062220*ln2*z2*z5 - 
    59774400*z3*z5)/1128960, H[0, -1, -1, 1, 1, 0, -1, 0, 1] -> 
  (-4032000*ln2^2*s6 + 22901025*s8a + 175728000*s8b + 8064000*s8c + 
    29568000*s8d + 56448000*li6half*z2 + 78400*ln2^6*z2 - 63252000*s6*z2 + 
    5913600*li4half*z2^2 - 929600*ln2^4*z2^2 - 3670800*ln2^2*z2^3 - 
    13014986*z2^4 - 35616000*li5half*z3 + 296800*ln2^5*z3 + 
    560000*ln2^3*z2*z3 - 15388800*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 
    21501375*z2*z3^2 - 24192000*ln2*z2*z5 + 42766500*z3*z5)/4704000, 
 H[0, -1, -1, 1, 1, 0, -1, -1, 1] -> 
  (-301056000*li8half - 120422400*li7half*ln2 - 15052800*li6half*ln2^2 - 
    4480*ln2^8 + 76003200*ln2^2*s6 - 27148800*ln2*s7a + 34944000*ln2*s7b - 
    143368575*s8a - 846888000*s8b - 102412800*s8c - 78220800*s8d + 
    7526400*li6half*z2 + 31360*ln2^6*z2 + 247228800*s6*z2 - 
    15644160*li4half*z2^2 - 808640*ln2^4*z2^2 - 21260400*ln2^2*z2^3 + 
    18089964*z2^4 + 156676800*li5half*z3 - 1305640*ln2^5*z3 + 
    12938800*ln2^3*z2*z3 + 104188560*ln2*z2^2*z3 - 18240600*ln2^2*z3^2 + 
    110340300*z2*z3^2 - 60152400*ln2^3*z5 + 202650000*ln2*z2*z5 - 
    157277925*z3*z5 + 294758625*ln2*z7)/1881600, 
 H[0, -1, -1, 1, 1, -1, 1, 1, 1] -> 
  (-28224000*li4half^2 + 103488000*li8half + 1568000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 - 59500*ln2^8 + 11424000*ln2^2*s6 - 14076300*s8a - 
    105504000*s8b - 22848000*s8c - 10080000*s8d + 14112000*li6half*z2 - 
    4704000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 + 19600*ln2^6*z2 + 
    26040000*s6*z2 + 10684800*li4half*z2^2 + 1680000*ln2^4*z2^2 - 
    14322000*ln2^2*z2^3 - 19846968*z2^4 + 35448000*li5half*z3 - 
    295400*ln2^5*z3 + 2660000*ln2^3*z2*z3 + 25775400*ln2*z2^2*z3 + 
    3213000*ln2^2*z3^2 + 25404750*z2*z3^2 + 759500*ln2^3*z5 + 
    129769500*ln2*z2*z5 - 67045125*z3*z5)/9408000, 
 H[0, -1, -1, 1, 1, -1, 1, 0, 1] -> (33868800*li4half^2 - 45158400*li8half + 
    2822400*li4half*ln2^4 + 57680*ln2^8 - 11491200*ln2^2*s6 + 10431225*s8a - 
    52718400*s8b + 22982400*s8c - 45561600*s8d - 50803200*li6half*z2 + 
    5644800*li5half*ln2*z2 + 8467200*li4half*ln2^2*z2 + 266560*ln2^6*z2 + 
    61488000*s6*z2 - 28586880*li4half*z2^2 - 1332240*ln2^4*z2^2 + 
    1632960*ln2^2*z2^3 + 24898536*z2^4 + 21974400*li5half*z3 - 
    183120*ln2^5*z3 + 7476000*ln2^3*z2*z3 - 32127480*ln2*z2^2*z3 - 
    3231900*ln2^2*z3^2 - 4580100*z2*z3^2 - 66213000*ln2*z2*z5 + 
    15515325*z3*z5)/11289600, H[0, -1, -1, 1, 1, -1, 1, -1, 1] -> 
  (75264000*li8half + 56448000*li7half*ln2 - 3136000*li5half*ln2^3 + 
    16800*ln2^8 - 5040000*ln2^2*s6 + 28224000*ln2*s7a + 70560000*ln2*s7b - 
    10779825*s8a - 99624000*s8b - 46368000*s8c - 672000*s8d - 
    84672000*li6half*z2 + 9408000*li5half*ln2*z2 - 705600*ln2^6*z2 - 
    59808000*s6*z2 - 134400*li4half*z2^2 + 5051200*ln2^4*z2^2 + 
    16111200*ln2^2*z2^3 - 22721952*z2^4 - 10416000*li5half*z3 + 
    86800*ln2^5*z3 - 38500000*ln2^3*z2*z3 - 30143400*ln2*z2^2*z3 + 
    41800500*ln2^2*z3^2 + 37054500*z2*z3^2 - 42532000*ln2^3*z5 - 
    63609000*ln2*z2*z5 + 76537125*z3*z5 + 484603875*ln2*z7)/18816000, 
 H[0, -1, -1, 1, 1, -1, 0, 1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 - 
    9072000*ln2^2*s6 + 14160825*s8a + 91627200*s8b + 18144000*s8c + 
    4435200*s8d + 16934400*li6half*z2 + 31046400*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 - 3225600*s6*z2 - 9273600*li4half*z2^2 - 
    1150800*ln2^4*z2^2 + 7801920*ln2^2*z2^3 + 4775436*z2^4 - 
    44856000*li5half*z3 + 373800*ln2^5*z3 - 1974000*ln2^3*z2*z3 - 
    23864400*ln2*z2^2*z3 - 2551500*ln2^2*z3^2 - 22031100*z2*z3^2 - 
    100913400*ln2*z2*z5 + 46953900*z3*z5)/5644800, 
 H[0, -1, -1, 1, 1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    4032000*ln2^2*s6 + 41397300*s8a + 307440000*s8b + 8064000*s8c + 
    76608000*s8d + 56448000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 
    215600*ln2^6*z2 - 156744000*s6*z2 + 31550400*li4half*z2^2 + 
    1020600*ln2^4*z2^2 + 5090400*ln2^2*z2^3 - 26227962*z2^4 - 
    50904000*li5half*z3 + 424200*ln2^5*z3 - 9534000*ln2^3*z2*z3 - 
    6892200*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 32783625*z2*z3^2 - 
    24192000*ln2*z2*z5 + 66598875*z3*z5)/14112000, 
 H[0, -1, -1, 1, 1, -1, 0, -1, 1] -> 
  (225792000*li4half^2 + 4515840000*li8half + 903168000*li7half*ln2 + 
    18816000*li4half*ln2^4 + 324800*ln2^8 - 410256000*ln2^2*s6 - 
    50400000*ln2*s7a - 191520000*ln2*s7b + 1230923925*s8a + 8430408000*s8b + 
    921312000*s8c + 687456000*s8d + 84672000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 2861600*ln2^6*z2 - 
    2094624000*s6*z2 + 35884800*li4half*z2^2 - 42134400*ln2^4*z2^2 + 
    10785600*ln2^2*z2^3 - 206760672*z2^4 - 1417248000*li5half*z3 + 
    11810400*ln2^5*z3 + 84000*ln2^3*z2*z3 - 871529400*ln2*z2^2*z3 - 
    192559500*ln2^2*z3^2 - 919642500*z2*z3^2 + 136710000*ln2^3*z5 - 
    2183265000*ln2*z2*z5 + 298753875*z3*z5 - 2217056625*ln2*z7)/56448000, 
 H[0, -1, -1, 1, 1, -1, -1, 1, 1] -> 
  (903168000*li8half - 42336000*li6half*ln2^2 - 4704000*li5half*ln2^3 + 
    2800*ln2^8 - 223776000*ln2^2*s6 + 492735600*s8a + 2813328000*s8b + 
    362880000*s8c + 258048000*s8d + 42336000*li6half*z2 - 313600*ln2^6*z2 - 
    784224000*s6*z2 + 51609600*li4half*z2^2 - 3318000*ln2^4*z2^2 + 
    57430800*ln2^2*z2^3 - 62039664*z2^4 - 512568000*li5half*z3 + 
    4271400*ln2^5*z3 - 44478000*ln2^3*z2*z3 - 393233400*ln2*z2^2*z3 - 
    37469250*ln2^2*z3^2 - 401593500*z2*z3^2 - 2278500*ln2^3*z5 - 
    1090624500*ln2*z2*z5 + 587215125*z3*z5)/28224000, 
 H[0, -1, -1, 1, 1, -1, -1, 0, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 + 
    1008000*li6half*z2 - 201600*li5half*ln2*z2 - 201600*li4half*ln2^2*z2 - 
    5320*ln2^6*z2 + 504000*s6*z2 + 362880*li4half*z2^2 - 10080*ln2^4*z2^2 - 
    65520*ln2^2*z2^3 - 148464*z2^4 + 252000*li5half*z3 - 2100*ln2^5*z3 - 
    4200*ln2^3*z2*z3 + 88200*ln2*z2^2*z3 - 209475*z2*z3^2 - 97650*ln2*z2*z5 - 
    193725*z3*z5)/403200, H[0, -1, -1, 1, 1, -1, -1, -1, 1] -> 
  (56448000*li4half^2 - 1975680000*li8half - 56448000*li7half*ln2 + 
    84672000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 
    99400*ln2^8 + 450576000*ln2^2*s6 - 40320000*ln2*s7a - 54432000*ln2*s7b - 
    950870025*s8a - 5529384000*s8b - 651168000*s8c - 506016000*s8d - 
    28224000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 1293600*ln2^6*z2 + 
    1597680000*s6*z2 - 126604800*li4half*z2^2 - 2688000*ln2^4*z2^2 - 
    115668000*ln2^2*z2^3 + 146512656*z2^4 + 1004976000*li5half*z3 - 
    8374800*ln2^5*z3 + 124320000*ln2^3*z2*z3 + 782220600*ln2*z2^2*z3 + 
    14049000*ln2^2*z3^2 + 739305000*z2*z3^2 + 18228000*ln2^3*z5 + 
    2113839000*ln2*z2*z5 - 1096176375*z3*z5 - 244510875*ln2*z7)/56448000, 
 H[0, -1, -1, 1, 0, 1, 1, 1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 - 
    15120000*ln2^2*s6 + 10790325*s8a + 75096000*s8b + 30240000*s8c - 
    30240000*s8d - 28224000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 313600*ln2^6*z2 + 105168000*s6*z2 + 
    50400000*li4half*z2^2 + 5628000*ln2^4*z2^2 - 20512800*ln2^2*z2^3 + 
    21663072*z2^4 + 267456000*li5half*z3 - 2228800*ln2^5*z3 - 
    6524000*ln2^3*z2*z3 + 6883800*ln2*z2^2*z3 - 4252500*ln2^2*z3^2 - 
    60826500*z2*z3^2 - 131733000*ln2*z2*z5 - 140608125*z3*z5)/18816000, 
 H[0, -1, -1, 1, 0, 1, 1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    3628800*ln2^2*s6 - 5952450*s8a - 13507200*s8b - 7257600*s8c + 
    7257600*s8d - 5644800*li4half*ln2^2*z2 - 235200*ln2^6*z2 - 
    12868800*s6*z2 + 322560*li4half*z2^2 + 719040*ln2^4*z2^2 + 
    1134000*ln2^2*z2^3 - 2669148*z2^4 - 29568000*li5half*z3 + 
    246400*ln2^5*z3 - 2464000*ln2^3*z2*z3 + 7858200*ln2*z2^2*z3 + 
    1020600*ln2^2*z3^2 + 6288450*z2*z3^2 + 21772800*ln2*z2*z5 + 
    11780475*z3*z5)/1881600, H[0, -1, -1, 1, 0, 1, 1, -1, 1] -> 
  (56448000*li4half^2 - 13547520000*li8half - 2709504000*li7half*ln2 + 
    4704000*li4half*ln2^4 + 299600*ln2^8 + 2655072000*ln2^2*s6 - 
    756000000*ln2*s7a + 316512000*ln2*s7b - 5469102450*s8a - 
    32790240000*s8b - 3798144000*s8c - 2975616000*s8d - 
    677376000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    268128000*li4half*ln2^2*z2 + 5527200*ln2^6*z2 + 9034704000*s6*z2 - 
    561254400*li4half*z2^2 + 1663200*ln2^4*z2^2 - 440748000*ln2^2*z2^3 + 
    1026064728*z2^4 + 5697216000*li5half*z3 - 444528000*li4half*ln2*z3 - 
    65998800*ln2^5*z3 + 697032000*ln2^3*z2*z3 + 4470026400*ln2*z2^2*z3 - 
    410886000*ln2^2*z3^2 + 4337644500*z2*z3^2 - 1038996000*ln2^3*z5 + 
    10318707000*ln2*z2*z5 - 5492670750*z3*z5 + 2540451375*ln2*z7)/56448000, 
 H[0, -1, -1, 1, 0, 1, 0, 1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 - 
    6048000*ln2^2*s6 + 2880675*s8a + 1108800*s8b + 12096000*s8c - 
    12096000*s8d + 33868800*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 - 
    47040*ln2^6*z2 + 8668800*s6*z2 - 14273280*li4half*z2^2 - 
    594720*ln2^4*z2^2 + 7423920*ln2^2*z2^3 + 8847828*z2^4 - 
    18144000*li5half*z3 + 151200*ln2^5*z3 - 1512000*ln2^3*z2*z3 - 
    18937800*ln2*z2^2*z3 - 1701000*ln2^2*z3^2 + 16814700*z2*z3^2 - 
    28085400*ln2*z2*z5 - 43685775*z3*z5)/5644800, 
 H[0, -1, -1, 1, 0, 1, 0, 0, 1] -> (-1344000*ln2^2*s6 + 3182550*s8a + 
    1680000*s8b + 2688000*s8c - 2688000*s8d + 5880000*s6*z2 - 
    3696000*li4half*z2^2 - 154000*ln2^4*z2^2 + 1083600*ln2^2*z2^3 + 
    865078*z2^4 + 1344000*li5half*z3 - 11200*ln2^5*z3 + 112000*ln2^3*z2*z3 - 
    6673800*ln2*z2^2*z3 - 378000*ln2^2*z3^2 - 2745750*z2*z3^2 - 
    8064000*ln2*z2*z5 + 10644375*z3*z5)/672000, 
 H[0, -1, -1, 1, 0, 1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    2592000*ln2^2*s6 + 22752000*ln2*s7a + 30816000*ln2*s7b - 26889975*s8a - 
    107856000*s8b - 40320000*s8c + 16128000*s8d - 10080000*li4half*ln2^2*z2 - 
    420000*ln2^6*z2 - 20916000*s6*z2 - 6249600*li4half*z2^2 + 
    1755600*ln2^4*z2^2 + 4100400*ln2^2*z2^3 - 16330446*z2^4 - 
    31248000*li5half*z3 + 28224000*li4half*ln2*z3 + 1436400*ln2^5*z3 - 
    14952000*ln2^3*z2*z3 - 15940800*ln2*z2^2*z3 + 34110000*ln2^2*z3^2 + 
    27066375*z2*z3^2 - 7812000*ln2^3*z5 + 30186000*ln2*z2*z5 + 
    53093250*z3*z5 + 247439250*ln2*z7)/2016000, 
 H[0, -1, -1, 1, 0, 1, -1, 1, 1] -> 
  (1505280000*li8half - 75264000*li6half*ln2^2 - 67200*ln2^8 - 
    251104000*ln2^2*s6 + 632592975*s8a + 3872008000*s8b + 434784000*s8c + 
    374304000*s8d + 18816000*li6half*z2 - 37632000*li5half*ln2*z2 + 
    862400*ln2^6*z2 - 1166480000*s6*z2 + 74860800*li4half*z2^2 - 
    12247200*ln2^4*z2^2 + 37609600*ln2^2*z2^3 - 110571464*z2^4 - 
    701568000*li5half*z3 + 5846400*ln2^5*z3 - 42000000*ln2^3*z2*z3 - 
    489623400*ln2*z2^2*z3 - 59304000*ln2^2*z3^2 - 461916000*z2*z3^2 - 
    1223502000*ln2*z2*z5 + 594685875*z3*z5)/6272000, 
 H[0, -1, -1, 1, 0, 1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    66528000*ln2^2*s6 + 9659475*s8a - 646128000*s8b + 133056000*s8c - 
    302400000*s8d - 338688000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 
    117600*ln2^6*z2 + 532476000*s6*z2 - 92937600*li4half*z2^2 - 
    3872400*ln2^4*z2^2 + 27014400*ln2^2*z2^3 + 141217326*z2^4 + 
    153216000*li5half*z3 - 1276800*ln2^5*z3 + 12768000*ln2^3*z2*z3 - 
    101770200*ln2*z2^2*z3 - 18711000*ln2^2*z3^2 - 23333625*z2*z3^2 - 
    399168000*ln2*z2*z5 - 48021750*z3*z5)/14112000, 
 H[0, -1, -1, 1, 0, 1, -1, -1, 1] -> 
  (-56448000*li4half^2 + 1354752000*li7half*ln2 + 338688000*li6half*ln2^2 - 
    4704000*li4half*ln2^4 + 103600*ln2^8 - 552888000*ln2^2*s6 + 
    550368000*ln2*s7a - 437472000*ln2*s7b + 599134725*s8a + 2747304000*s8b + 
    308448000*s8c + 453600000*s8d - 677376000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 2940000*ln2^6*z2 - 1612800000*s6*z2 + 
    116121600*li4half*z2^2 + 52642800*ln2^4*z2^2 + 297813600*ln2^2*z2^3 - 
    83708244*z2^4 - 907200000*li5half*z3 + 7560000*ln2^5*z3 - 
    186732000*ln2^3*z2*z3 - 465494400*ln2*z2^2*z3 + 636315750*ln2^2*z3^2 - 
    363636000*z2*z3^2 + 956970000*ln2^3*z5 + 390600000*ln2*z2*z5 + 
    1956646125*z3*z5 - 2623564125*ln2*z7)/28224000, 
 H[0, -1, -1, 1, 0, 0, 1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    25200000*ln2^2*s6 - 17733975*s8a - 58128000*s8b - 50400000*s8c + 
    50400000*s8d - 112896000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    548800*ln2^6*z2 - 150192000*s6*z2 + 22310400*li4half*z2^2 - 
    2010400*ln2^4*z2^2 - 3561600*ln2^2*z2^3 - 17705816*z2^4 - 
    6720000*li5half*z3 + 56000*ln2^5*z3 + 7672000*ln2^3*z2*z3 + 
    39291000*ln2*z2^2*z3 + 7087500*ln2^2*z3^2 + 57608250*z2*z3^2 + 
    267403500*ln2*z2*z5 + 14251125*z3*z5)/9408000, 
 H[0, -1, -1, 1, 0, 0, 1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    3628800*ln2^2*s6 - 1768725*s8a + 13507200*s8b + 7257600*s8c - 
    7257600*s8d - 5644800*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 
    9576000*s6*z2 - 10059840*li4half*z2^2 + 286440*ln2^4*z2^2 - 
    887040*ln2^2*z2^3 + 7193724*z2^4 - 2419200*li5half*z3 + 20160*ln2^5*z3 - 
    201600*ln2^3*z2*z3 - 7605360*ln2*z2^2*z3 - 1020600*ln2^2*z3^2 - 
    1937250*z2*z3^2 - 21772800*ln2*z2*z5 - 10637550*z3*z5)/2822400, 
 H[0, -1, -1, 1, 0, 0, 1, -1, 1] -> (-69888000*ln2^2*s6 + 5040000*ln2*s7a - 
    32592000*ln2*s7b + 150663450*s8a + 753984000*s8b + 129696000*s8c + 
    67872000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 
    228648000*s6*z2 + 12398400*li4half*z2^2 - 3011400*ln2^4*z2^2 + 
    31621800*ln2^2*z2^3 + 6476452*z2^4 - 133392000*li5half*z3 - 
    8232000*li4half*ln2*z3 + 768600*ln2^5*z3 - 9058000*ln2^3*z2*z3 - 
    106558200*ln2*z2^2*z3 - 11938500*ln2^2*z3^2 - 130383750*z2*z3^2 + 
    36456000*ln2^3*z5 - 327453000*ln2*z2*z5 + 245694750*z3*z5 - 
    130780125*ln2*z7)/4704000, H[0, -1, -1, 1, 0, 0, 0, 1, 1] -> 
  (-2688000*ln2^2*s6 + 6963075*s8a + 33264000*s8b + 5376000*s8c - 
    5376000*s8d + 8400000*s6*z2 + 1982400*li4half*z2^2 + 82600*ln2^4*z2^2 + 
    1159200*ln2^2*z2^3 + 3297692*z2^4 - 8064000*li5half*z3 + 67200*ln2^5*z3 - 
    672000*ln2^3*z2*z3 - 5947200*ln2*z2^2*z3 - 756000*ln2^2*z3^2 - 
    12043500*z2*z3^2 - 50305500*ln2*z2*z5 + 20291250*z3*z5)/4704000, 
 H[0, -1, -1, 1, 0, 0, 0, 0, 1] -> (-96075*s8a - 896000*s8b + 56000*s6*z2 - 
    235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 184800*ln2^2*z2^3 + 139438*z2^4 - 
    131250*z3*z5)/112000, H[0, -1, -1, 1, 0, 0, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    179424000*ln2^2*s6 + 76608000*ln2*s7a - 36288000*ln2*s7b + 
    278754525*s8a + 1436400000*s8b + 205632000*s8c + 133056000*s8d - 
    28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 424872000*s6*z2 - 
    9374400*li4half*z2^2 + 3137400*ln2^4*z2^2 + 74869200*ln2^2*z2^3 + 
    26502744*z2^4 - 308448000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    6686400*ln2^5*z3 - 50400000*ln2^3*z2*z3 - 254091600*ln2*z2^2*z3 + 
    66843000*ln2^2*z3^2 - 221366250*z2*z3^2 + 109368000*ln2^3*z5 - 
    506772000*ln2*z2*z5 + 431912250*z3*z5 - 427423500*ln2*z7)/14112000, 
 H[0, -1, -1, 1, 0, 0, -1, 1, 1] -> 
  (31248000*ln2^2*s6 - 64321425*s8a - 322896000*s8b - 48384000*s8c - 
    36288000*s8d + 21168000*li6half*z2 + 14112000*li5half*ln2*z2 - 
    3528000*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 131082000*s6*z2 - 
    6081600*li4half*z2^2 + 1363600*ln2^4*z2^2 - 16831500*ln2^2*z2^3 - 
    423148*z2^4 + 57288000*li5half*z3 - 477400*ln2^5*z3 + 
    4774000*ln2^3*z2*z3 + 47027400*ln2*z2^2*z3 + 7502250*ln2^2*z3^2 + 
    42278250*z2*z3^2 + 118361250*ln2*z2*z5 - 98114625*z3*z5)/2352000, 
 H[0, -1, -1, 1, 0, 0, -1, 0, 1] -> 
  (6048000*ln2^2*s6 - 11921175*s8a - 22512000*s8b - 12096000*s8c + 
    12096000*s8d - 15960000*s6*z2 - 6283200*li4half*z2^2 - 
    261800*ln2^4*z2^2 - 697200*ln2^2*z2^3 + 677912*z2^4 + 
    4032000*li5half*z3 - 33600*ln2^5*z3 + 336000*ln2^3*z2*z3 + 
    12675600*ln2*z2^2*z3 + 1701000*ln2^2*z3^2 + 16605750*z2*z3^2 + 
    36288000*ln2*z2*z5 - 41511750*z3*z5)/4704000, 
 H[0, -1, -1, 1, 0, 0, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    19656000*ln2^2*s6 - 29232000*ln2*s7a + 83664000*ln2*s7b - 96344325*s8a - 
    223272000*s8b - 65520000*s8c - 19152000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 + 98280000*s6*z2 - 37699200*li4half*z2^2 - 
    3334800*ln2^4*z2^2 + 8820000*ln2^2*z2^3 + 36378618*z2^4 + 
    31248000*li5half*z3 + 49392000*li4half*ln2*z3 + 1797600*ln2^5*z3 + 
    8778000*ln2^3*z2*z3 + 20821500*ln2*z2^2*z3 - 31515750*ln2^2*z3^2 + 
    89932500*z2*z3^2 - 109368000*ln2^3*z5 - 52731000*ln2*z2*z5 - 
    298793250*z3*z5 + 146868750*ln2*z7)/14112000, 
 H[0, -1, -1, 1, 0, -1, 1, 1, 1] -> (16128000*li4half^2 - 645120000*li8half - 
    10752000*li5half*ln2^3 + 1344000*li4half*ln2^4 + 101600*ln2^8 + 
    79632000*ln2^2*s6 - 220322025*s8a - 1431864000*s8b - 159264000*s8c - 
    122976000*s8d + 96768000*li6half*z2 + 32256000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 - 414400*ln2^6*z2 + 439488000*s6*z2 - 
    31852800*li4half*z2^2 + 4939200*ln2^4*z2^2 - 11959200*ln2^2*z2^3 + 
    24817536*z2^4 + 238896000*li5half*z3 - 1990800*ln2^5*z3 + 
    19908000*ln2^3*z2*z3 + 176185800*ln2*z2^2*z3 + 22396500*ln2^2*z3^2 + 
    152932500*z2*z3^2 + 3255000*ln2^3*z5 + 468027000*ln2*z2*z5 - 
    160185375*z3*z5)/8064000, H[0, -1, -1, 1, 0, -1, 1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    806400*ln2^2*s6 + 12894525*s8a + 136281600*s8b + 1612800*s8c + 
    32256000*s8d + 33868800*li6half*z2 - 11289600*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 + 23520*ln2^6*z2 - 63100800*s6*z2 + 
    12942720*li4half*z2^2 + 304080*ln2^4*z2^2 - 3092040*ln2^2*z2^3 - 
    11405682*z2^4 - 20764800*li5half*z3 + 173040*ln2^5*z3 - 
    1730400*ln2^3*z2*z3 - 2701440*ln2*z2^2*z3 - 226800*ln2^2*z3^2 - 
    14516775*z2*z3^2 - 1420650*ln2*z2*z5 + 24532200*z3*z5)/2822400, 
 H[0, -1, -1, 1, 0, -1, 1, -1, 1] -> 
  (18063360000*li8half + 2709504000*li7half*ln2 + 75264000*li5half*ln2^3 - 
    716800*ln2^8 - 3173184000*ln2^2*s6 + 429408000*ln2*s7a - 
    868896000*ln2*s7b + 7502714100*s8a + 45235008000*s8b + 5487552000*s8c + 
    3939264000*s8d + 2032128000*li6half*z2 + 366912000*li5half*ln2*z2 + 
    4782400*ln2^6*z2 - 11491200000*s6*z2 + 787852800*li4half*z2^2 - 
    85478400*ln2^4*z2^2 + 458085600*ln2^2*z2^3 - 1279895544*z2^4 - 
    8083152000*li5half*z3 + 67359600*ln2^5*z3 - 562464000*ln2^3*z2*z3 - 
    5668916400*ln2*z2^2*z3 - 234927000*ln2^2*z3^2 - 6187702500*z2*z3^2 + 
    1234947000*ln2^3*z5 - 14386113000*ln2*z2*z5 + 6956979750*z3*z5 - 
    6952735125*ln2*z7)/56448000, H[0, -1, -1, 1, 0, -1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    5040000*ln2^2*s6 - 11338425*s8a + 139104000*s8b + 10080000*s8c - 
    10080000*s8d - 338688000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 352800*ln2^6*z2 - 163296000*s6*z2 - 
    31651200*li4half*z2^2 - 3670800*ln2^4*z2^2 + 34939800*ln2^2*z2^3 + 
    74431062*z2^4 - 15120000*li5half*z3 + 126000*ln2^5*z3 - 
    1260000*ln2^3*z2*z3 - 11151000*ln2*z2^2*z3 - 1417500*ln2^2*z3^2 + 
    63716625*z2*z3^2 - 129354750*ln2*z2*z5 - 95232375*z3*z5)/14112000, 
 H[0, -1, -1, 1, 0, -1, 0, 0, 1] -> 
  (-6048000*ln2^2*s6 + 8621025*s8a - 22176000*s8b + 12096000*s8c - 
    12096000*s8d + 27132000*s6*z2 - 13473600*li4half*z2^2 - 
    561400*ln2^4*z2^2 + 5107200*ln2^2*z2^3 + 5916739*z2^4 - 
    4032000*li5half*z3 + 33600*ln2^5*z3 - 336000*ln2^3*z2*z3 - 
    12675600*ln2*z2^2*z3 - 1701000*ln2^2*z3^2 - 9917250*z2*z3^2 - 
    36288000*ln2*z2*z5 + 28961625*z3*z5)/2352000, 
 H[0, -1, -1, 1, 0, -1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    318528000*ln2^2*s6 + 245952000*ln2*s7a + 133056000*ln2*s7b + 
    277713450*s8a + 1399104000*s8b + 145152000*s8c + 193536000*s8d - 
    338688000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 5409600*ln2^6*z2 - 683424000*s6*z2 - 
    93945600*li4half*z2^2 + 21957600*ln2^4*z2^2 + 166345200*ln2^2*z2^3 + 
    39346812*z2^4 - 316512000*li5half*z3 + 395136000*li4half*ln2*z3 + 
    19101600*ln2^5*z3 - 199248000*ln2^3*z2*z3 - 448257600*ln2*z2^2*z3 + 
    287028000*ln2^2*z3^2 - 182180250*z2*z3^2 + 109368000*ln2^3*z5 - 
    788602500*ln2*z2*z5 + 702048375*z3*z5 + 817023375*ln2*z7)/28224000, 
 H[0, -1, -1, 1, 0, -1, -1, 1, 1] -> 
  (56448000*li4half^2 - 4515840000*li8half + 338688000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 142800*ln2^8 + 
    1041768000*ln2^2*s6 - 2285071425*s8a - 12909960000*s8b - 1610784000*s8c - 
    1211616000*s8d - 296352000*li6half*z2 - 42336000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 254800*ln2^6*z2 + 3679200000*s6*z2 - 
    267724800*li4half*z2^2 + 11071200*ln2^4*z2^2 - 246708000*ln2^2*z2^3 + 
    379166112*z2^4 + 2416176000*li5half*z3 - 20134800*ln2^5*z3 + 
    201348000*ln2^3*z2*z3 + 1781929800*ln2*z2^2*z3 + 137875500*ln2^2*z3^2 + 
    1795720500*z2*z3^2 - 11392500*ln2^3*z5 + 4632579000*ln2*z2*z5 - 
    2684658375*z3*z5)/28224000, H[0, -1, -1, 1, 0, -1, -1, 0, 1] -> 
  (-4368000*ln2^2*s6 + 10849650*s8a - 43848000*s8b + 8736000*s8c - 
    8736000*s8d + 56448000*li6half*z2 + 18816000*li5half*ln2*z2 - 
    78400*ln2^6*z2 + 63336000*s6*z2 - 1747200*li4half*z2^2 + 
    319200*ln2^4*z2^2 - 1071000*ln2^2*z2^3 - 7423086*z2^4 - 
    15456000*li5half*z3 + 128800*ln2^5*z3 - 1288000*ln2^3*z2*z3 - 
    9781800*ln2*z2^2*z3 - 1228500*ln2^2*z3^2 - 22556625*z2*z3^2 - 
    31904250*ln2*z2*z5 + 46060875*z3*z5)/4704000, 
 H[0, -1, -1, 1, 0, -1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 4515840000*li8half - 2709504000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 63000*ln2^8 + 941472000*ln2^2*s6 - 
    693504000*ln2*s7a + 1056384000*ln2*s7b - 1968345225*s8a - 
    11696328000*s8b - 1441440000*s8c - 1042272000*s8d - 
    28224000*li4half*ln2^2*z2 - 1489600*ln2^6*z2 + 3502800000*s6*z2 - 
    205632000*li4half*z2^2 + 252000*ln2^4*z2^2 - 154224000*ln2^2*z2^3 + 
    322011504*z2^4 + 2112768000*li5half*z3 + 49392000*li4half*ln2*z3 - 
    15548400*ln2^5*z3 + 126672000*ln2^3*z2*z3 + 1221733800*ln2*z2^2*z3 - 
    486895500*ln2^2*z3^2 + 1445787000*z2*z3^2 - 1672419000*ln2^3*z5 + 
    1166508000*ln2*z2*z5 - 1952598375*z3*z5 + 6962539500*ln2*z7)/56448000, 
 H[0, -1, -1, 1, -1, 1, 1, 1, 1] -> 
  (141120000*li4half^2 - 1636992000*li8half + 4704000*li4half*ln2^4 - 
    89600*ln2^8 - 210672000*ln2^2*s6 + 239102325*s8a + 249480000*s8b + 
    421344000*s8c - 308448000*s8d - 197568000*li6half*z2 + 
    14112000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 496944000*s6*z2 - 
    154828800*li4half*z2^2 - 336000*ln2^4*z2^2 + 155836800*ln2^2*z2^3 + 
    340159032*z2^4 + 419328000*li5half*z3 - 3494400*ln2^5*z3 - 
    62076000*ln2^3*z2*z3 - 328872600*ln2*z2^2*z3 - 59251500*ln2^2*z3^2 - 
    355918500*z2*z3^2 - 1729728000*ln2*z2*z5 + 385804125*z3*z5)/56448000, 
 H[0, -1, -1, 1, -1, 1, 1, 0, 1] -> (-5040000*li4half^2 + 112896000*li8half - 
    420000*li4half*ln2^4 - 5950*ln2^8 + 2016000*ln2^2*s6 + 9979200*s8a + 
    134064000*s8b - 4032000*s8c + 30744000*s8d - 2016000*li6half*z2 - 
    504000*li4half*ln2^2*z2 - 102200*ln2^6*z2 - 72576000*s6*z2 + 
    10533600*li4half*z2^2 + 340200*ln2^4*z2^2 - 1940400*ln2^2*z2^3 - 
    15388488*z2^4 - 40068000*li5half*z3 + 756000*li4half*ln2*z3 + 
    365400*ln2^5*z3 - 3339000*ln2^3*z2*z3 + 4290300*ln2*z2^2*z3 + 
    567000*ln2^2*z3^2 - 2244375*z2*z3^2 + 12096000*ln2*z2*z5 + 1614375*z3*z5)/
   2016000, H[0, -1, -1, 1, -1, 1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 1354752000*li8half - 56448000*li7half*ln2 + 
    191800*ln2^8 - 31248000*ln2^2*s6 - 94752000*ln2*s7a - 306432000*ln2*s7b + 
    335504925*s8a + 2726136000*s8b + 252000000*s8c + 284256000*s8d + 
    169344000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 3057600*ln2^6*z2 - 667296000*s6*z2 + 
    111888000*li4half*z2^2 + 2780400*ln2^4*z2^2 - 100850400*ln2^2*z2^3 - 
    52898472*z2^4 - 378000000*li5half*z3 + 3150000*ln2^5*z3 + 
    90216000*ln2^3*z2*z3 + 20298600*ln2*z2^2*z3 - 153877500*ln2^2*z3^2 - 
    252504000*z2*z3^2 + 205065000*ln2^3*z5 + 646884000*ln2*z2*z5 - 
    323434125*z3*z5 - 2970639000*ln2*z7)/56448000, 
 H[0, -1, -1, 1, -1, 1, 0, 1, 1] -> 
  (-62092800*li4half^2 - 5174400*li4half*ln2^4 - 107800*ln2^8 + 
    48182400*ln2^2*s6 - 151463025*s8a - 846216000*s8b - 96364800*s8c - 
    92736000*s8d + 191923200*li6half*z2 + 50803200*li5half*ln2*z2 - 
    19756800*li4half*ln2^2*z2 - 980000*ln2^6*z2 + 404208000*s6*z2 + 
    7701120*li4half*z2^2 + 8141280*ln2^4*z2^2 - 40844160*ln2^2*z2^3 - 
    18950328*z2^4 + 141724800*li5half*z3 - 8467200*li4half*ln2*z3 - 
    1533840*ln2^5*z3 + 11810400*ln2^3*z2*z3 + 94714200*ln2*z2^2*z3 + 
    13551300*ln2^2*z3^2 + 100718100*z2*z3^2 + 313702200*ln2*z2*z5 - 
    294734475*z3*z5)/11289600, H[0, -1, -1, 1, -1, 1, 0, 0, 1] -> 
  (-28828800*ln2^2*s6 + 99604575*s8a + 481824000*s8b + 57657600*s8c + 
    46771200*s8d + 5644800*li6half*z2 + 7840*ln2^6*z2 - 152107200*s6*z2 - 
    2923200*li4half*z2^2 - 3943800*ln2^4*z2^2 + 17715600*ln2^2*z2^3 - 
    7678152*z2^4 - 68140800*li5half*z3 - 12700800*li4half*ln2*z3 + 
    38640*ln2^5*z3 - 5678400*ln2^3*z2*z3 - 98746200*ln2*z2^2*z3 - 
    8108100*ln2^2*z3^2 - 69129900*z2*z3^2 - 172972800*ln2*z2*z5 + 
    193751775*z3*z5)/5644800, H[0, -1, -1, 1, -1, 1, 0, -1, 1] -> 
  (-225792000*li4half^2 + 15805440000*li8half + 3161088000*li7half*ln2 - 
    18816000*li4half*ln2^4 - 627200*ln2^8 - 2087568000*ln2^2*s6 + 
    860832000*ln2*s7a + 112896000*ln2*s7b + 4414468275*s8a + 
    29644776000*s8b + 2453472000*s8c + 3247776000*s8d + 
    451584000*li6half*z2 - 98784000*li4half*ln2^2*z2 - 1293600*ln2^6*z2 - 
    9233280000*s6*z2 + 729993600*li4half*z2^2 + 3838800*ln2^4*z2^2 + 
    262180800*ln2^2*z2^3 - 1547579016*z2^4 - 6460272000*li5half*z3 + 
    42336000*li4half*ln2*z3 + 55599600*ln2^5*z3 - 686532000*ln2^3*z2*z3 - 
    3989172600*ln2*z2^2*z3 + 731020500*ln2^2*z3^2 - 3195297000*z2*z3^2 + 
    724563000*ln2^3*z5 - 7668675000*ln2*z2*z5 + 5117954625*z3*z5 + 
    29216250*ln2*z7)/56448000, H[0, -1, -1, 1, -1, 1, -1, 1, 1] -> 
  (127008000*li4half^2 + 56448000*li8half + 42336000*li6half*ln2^2 + 
    14112000*li4half*ln2^4 + 427700*ln2^8 + 21672000*ln2^2*s6 - 
    84273525*s8a - 370944000*s8b - 64512000*s8c + 1008000*s8d + 
    42336000*li6half*z2 + 127008000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 784000*ln2^6*z2 + 19152000*s6*z2 - 
    71769600*li4half*z2^2 - 16249800*ln2^4*z2^2 + 604800*ln2^2*z2^3 - 
    15934284*z2^4 - 139608000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    2045400*ln2^5*z3 + 69510000*ln2^3*z2*z3 + 28060200*ln2*z2^2*z3 - 
    40209750*ln2^2*z3^2 + 134268750*z2*z3^2 + 262993500*ln2*z2*z5 - 
    105351750*z3*z5)/28224000, H[0, -1, -1, 1, -1, 1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 282240000*li8half - 2352000*li4half*ln2^4 - 
    56000*ln2^8 + 6384000*ln2^2*s6 - 31588725*s8a - 350364000*s8b - 
    12768000*s8c - 53088000*s8d + 14112000*li6half*z2 + 
    17640000*li4half*ln2^2*z2 + 950600*ln2^6*z2 + 135576000*s6*z2 + 
    2436000*li4half*z2^2 - 1221500*ln2^4*z2^2 + 415800*ln2^2*z2^3 + 
    20456154*z2^4 + 127344000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    1649200*ln2^5*z3 + 10612000*ln2^3*z2*z3 + 30382800*ln2*z2^2*z3 + 
    1795500*ln2^2*z3^2 + 10145625*z2*z3^2 + 38304000*ln2*z2*z5 - 
    13054125*z3*z5)/4704000, H[0, -1, -1, 1, -1, 1, -1, -1, 1] -> 
  (-21168000*li4half^2 + 70560000*li8half + 14112000*li7half*ln2 - 
    7056000*li6half*ln2^2 - 2352000*li4half*ln2^4 - 72100*ln2^8 - 
    12348000*ln2^2*s6 + 20664000*ln2*s7a + 24192000*ln2*s7b + 18564525*s8a + 
    92232000*s8b - 13104000*s8c + 30744000*s8d + 14112000*li6half*z2 - 
    7056000*li4half*ln2^2*z2 - 264600*ln2^6*z2 - 73836000*s6*z2 + 
    17085600*li4half*z2^2 + 3901800*ln2^4*z2^2 + 3742200*ln2^2*z2^3 - 
    31990446*z2^4 - 61488000*li5half*z3 - 3528000*li4half*ln2*z3 + 
    365400*ln2^5*z3 - 24528000*ln2^3*z2*z3 - 36779400*ln2*z2^2*z3 + 
    35886375*ln2^2*z3^2 - 12442500*z2*z3^2 - 3417750*ln2^3*z5 - 
    31862250*ln2*z2*z5 + 131756625*z3*z5 + 241731000*ln2*z7)/4704000, 
 H[0, -1, -1, 1, -1, 0, 1, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    134736000*ln2^2*s6 - 203184975*s8a - 956760000*s8b - 269472000*s8c + 
    71904000*s8d - 310464000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1568000*ln2^6*z2 - 214368000*s6*z2 + 
    52483200*li4half*z2^2 - 1929200*ln2^4*z2^2 - 31130400*ln2^2*z2^3 - 
    61475496*z2^4 + 159600000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    1036000*ln2^5*z3 + 37996000*ln2^3*z2*z3 + 248476200*ln2*z2^2*z3 + 
    37894500*ln2^2*z3^2 + 308679000*z2*z3^2 + 1136520000*ln2*z2*z5 - 
    257866875*z3*z5)/18816000, H[0, -1, -1, 1, -1, 0, 1, 0, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 - 
    88704000*ln2^2*s6 + 49236075*s8a + 131040000*s8b + 177408000*s8c - 
    177408000*s8d - 84672000*li6half*z2 - 70560000*li4half*ln2^2*z2 - 
    3057600*ln2^6*z2 + 287784000*s6*z2 - 135676800*li4half*z2^2 - 
    361200*ln2^4*z2^2 + 14704200*ln2^2*z2^3 + 124756662*z2^4 - 
    61488000*li5half*z3 + 63504000*li4half*ln2*z3 + 3158400*ln2^5*z3 - 
    5124000*ln2^3*z2*z3 - 189201600*ln2*z2^2*z3 - 24948000*ln2^2*z3^2 - 
    79364250*z2*z3^2 - 532224000*ln2*z2*z5 - 38083500*z3*z5)/14112000, 
 H[0, -1, -1, 1, -1, 0, 1, -1, 1] -> 
  (564480000*li4half^2 - 27095040000*li8half - 5419008000*li7half*ln2 + 
    47040000*li4half*ln2^4 + 1383200*ln2^8 + 4422096000*ln2^2*s6 - 
    1185408000*ln2*s7a + 1185408000*ln2*s7b - 9672690825*s8a - 
    60316200000*s8b - 6473376000*s8c - 5634720000*s8d - 
    1693440000*li6half*z2 + 508032000*li5half*ln2*z2 + 
    395136000*li4half*ln2^2*z2 + 6115200*ln2^6*z2 + 16462656000*s6*z2 - 
    1406361600*li4half*z2^2 - 8500800*ln2^4*z2^2 - 485704800*ln2^2*z2^3 + 
    2112113088*z2^4 + 10839024000*li5half*z3 - 169344000*li4half*ln2*z3 - 
    97381200*ln2^5*z3 + 903252000*ln2^3*z2*z3 + 7300175400*ln2*z2^2*z3 - 
    571441500*ln2^2*z3^2 + 7543147500*z2*z3^2 - 2296728000*ln2^3*z5 + 
    14879592000*ln2*z2*z5 - 8496880875*z3*z5 + 11719464750*ln2*z7)/56448000, 
 H[0, -1, -1, 1, -1, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    33600000*ln2^2*s6 + 119946225*s8a + 640416000*s8b + 67200000*s8c + 
    73920000*s8d + 28224000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 862400*ln2^6*z2 - 212520000*s6*z2 + 
    29601600*li4half*z2^2 - 3470600*ln2^4*z2^2 + 14254800*ln2^2*z2^3 - 
    15159944*z2^4 - 107856000*li5half*z3 - 21168000*li4half*ln2*z3 + 
    16800*ln2^5*z3 - 8988000*ln2^3*z2*z3 - 73634400*ln2*z2^2*z3 - 
    9450000*ln2^2*z3^2 - 116109000*z2*z3^2 - 263119500*ln2*z2*z5 + 
    268506000*z3*z5)/9408000, H[0, -1, -1, 1, -1, 0, 0, 0, 1] -> 
  (2688000*ln2^2*s6 - 8619275*s8a - 46200000*s8b - 5376000*s8c - 
    4032000*s8d + 13748000*s6*z2 - 4099200*li4half*z2^2 - 170800*ln2^4*z2^2 + 
    134400*ln2^2*z2^3 + 1965671*z2^4 + 5712000*li5half*z3 - 47600*ln2^5*z3 + 
    476000*ln2^3*z2*z3 + 5829600*ln2*z2^2*z3 + 756000*ln2^2*z3^2 + 
    5863375*z2*z3^2 + 16128000*ln2*z2*z5 - 14913500*z3*z5)/784000, 
 H[0, -1, -1, 1, -1, 0, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    229488000*ln2^2*s6 + 92736000*ln2*s7a - 57792000*ln2*s7b + 
    374297700*s8a + 1952496000*s8b + 273504000*s8c + 206304000*s8d + 
    56448000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 1097600*ln2^6*z2 - 
    607824000*s6*z2 - 8131200*li4half*z2^2 + 2013200*ln2^4*z2^2 + 
    92139600*ln2^2*z2^3 + 12701912*z2^4 - 403200000*li5half*z3 + 
    119952000*li4half*ln2*z3 + 8358000*ln2^5*z3 - 58296000*ln2^3*z2*z3 - 
    323698200*ln2*z2^2*z3 + 77458500*ln2^2*z3^2 - 309792000*z2*z3^2 + 
    145824000*ln2^3*z5 - 646044000*ln2*z2*z5 + 623340375*z3*z5 - 
    518852250*ln2*z7)/9408000, H[0, -1, -1, 1, -1, 0, -1, 1, 1] -> 
  (-733824000*li4half^2 + 13547520000*li8half - 677376000*li6half*ln2^2 - 
    61152000*li4half*ln2^4 - 1878800*ln2^8 - 1548288000*ln2^2*s6 + 
    4336575075*s8a + 27764856000*s8b + 2800224000*s8c + 2618784000*s8d + 
    1354752000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    183456000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 - 7107408000*s6*z2 + 
    913248000*li4half*z2^2 - 26157600*ln2^4*z2^2 - 134719200*ln2^2*z2^3 - 
    1191122928*z2^4 - 4849488000*li5half*z3 - 169344000*li4half*ln2*z3 + 
    33356400*ln2^5*z3 - 404124000*ln2^3*z2*z3 - 3344002200*ln2*z2^2*z3 - 
    208561500*ln2^2*z3^2 - 3648739500*z2*z3^2 - 8523711000*ln2*z2*z5 + 
    3912544125*z3*z5)/56448000, H[0, -1, -1, 1, -1, 0, -1, 0, 1] -> 
  (20160000*li4half^2 + 1680000*li4half*ln2^4 + 35000*ln2^8 + 
    1008000*ln2^2*s6 - 18698400*s8a - 110880000*s8b - 2016000*s8c - 
    22176000*s8d - 36288000*li6half*z2 - 4032000*li4half*ln2^2*z2 - 
    218400*ln2^6*z2 + 45360000*s6*z2 - 16632000*li4half*z2^2 - 
    189000*ln2^4*z2^2 + 3036600*ln2^2*z2^3 + 15690966*z2^4 + 
    9072000*li5half*z3 + 12096000*li4half*ln2*z3 + 428400*ln2^5*z3 + 
    756000*ln2^3*z2*z3 + 1927800*ln2*z2^2*z3 + 283500*ln2^2*z3^2 + 
    21215250*z2*z3^2 + 6048000*ln2*z2*z5 - 52376625*z3*z5)/2016000, 
 H[0, -1, -1, 1, -1, 0, -1, -1, 1] -> 
  (141120000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 11760000*li4half*ln2^4 + 312200*ln2^8 - 
    1098048000*ln2^2*s6 + 443520000*ln2*s7a - 459648000*ln2*s7b + 
    1955072175*s8a + 12166392000*s8b + 1407840000*s8c + 1132320000*s8d - 
    112896000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 - 
    3541776000*s6*z2 + 133324800*li4half*z2^2 + 6143200*ln2^4*z2^2 + 
    302870400*ln2^2*z2^3 - 215010672*z2^4 - 2257584000*li5half*z3 + 
    155232000*li4half*ln2*z3 + 25281200*ln2^5*z3 - 188132000*ln2^3*z2*z3 - 
    1504536600*ln2*z2^2*z3 + 294682500*ln2^2*z3^2 - 1463290500*z2*z3^2 + 
    874944000*ln2^3*z5 - 2845080000*ln2*z2*z5 + 1799161875*z3*z5 - 
    4306790250*ln2*z7)/18816000, H[0, -1, -1, 1, -1, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 - 677376000*li8half - 9408000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 + 12600*ln2^8 + 137424000*ln2^2*s6 - 
    315087675*s8a - 2196600000*s8b - 274848000*s8c - 167328000*s8d + 
    141120000*li6half*z2 + 28224000*li5half*ln2*z2 - 548800*ln2^6*z2 + 
    598080000*s6*z2 + 403200*li4half*z2^2 + 11424000*ln2^4*z2^2 - 
    35868000*ln2^2*z2^3 - 24768888*z2^4 + 398160000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 3612000*ln2^5*z3 + 34356000*ln2^3*z2*z3 + 
    301933800*ln2*z2^2*z3 + 38650500*ln2^2*z3^2 + 269419500*z2*z3^2 - 
    13671000*ln2^3*z5 + 992565000*ln2*z2*z5 - 304434375*z3*z5)/18816000, 
 H[0, -1, -1, 1, -1, -1, 1, 0, 1] -> 
  (62092800*li4half^2 - 203212800*li8half + 5174400*li4half*ln2^4 + 
    102760*ln2^8 + 4636800*ln2^2*s6 - 39737250*s8a - 186681600*s8b - 
    9273600*s8c - 24595200*s8d + 8467200*li6half*z2 - 
    8467200*li5half*ln2*z2 - 18345600*li4half*ln2^2*z2 - 540960*ln2^6*z2 + 
    64713600*s6*z2 - 30320640*li4half*z2^2 + 42000*ln2^4*z2^2 + 
    3533040*ln2^2*z2^3 + 27065448*z2^4 + 23083200*li5half*z3 + 
    27518400*li4half*ln2*z3 + 954240*ln2^5*z3 + 1923600*ln2^3*z2*z3 + 
    9341640*ln2*z2^2*z3 + 1304100*ln2^2*z3^2 + 20956950*z2*z3^2 + 
    15516900*ln2*z2*z5 - 29652525*z3*z5)/5644800, 
 H[0, -1, -1, 1, -1, -1, 1, -1, 1] -> 
  (70560000*li4half^2 + 197568000*li8half - 28224000*li7half*ln2 + 
    4704000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 44800*ln2^8 - 
    7056000*ln2^2*s6 - 32256000*ln2*s7a - 4032000*ln2*s7b + 71627850*s8a + 
    455616000*s8b + 78624000*s8c + 20160000*s8d + 42336000*li6half*z2 + 
    70560000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 901600*ln2^6*z2 - 
    72072000*s6*z2 - 32659200*li4half*z2^2 - 10827600*ln2^4*z2^2 + 
    2646000*ln2^2*z2^3 + 1813716*z2^4 - 93240000*li5half*z3 + 
    3528000*li4half*ln2*z3 + 924000*ln2^5*z3 + 9870000*ln2^3*z2*z3 - 
    61828200*ln2*z2^2*z3 - 51376500*ln2^2*z3^2 - 65472750*z2*z3^2 - 
    20506500*ln2^3*z5 - 330088500*ln2*z2*z5 + 26908875*z3*z5 + 
    79443000*ln2*z7)/9408000, H[0, -1, -1, 1, -1, -1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    31584000*ln2^2*s6 + 76550775*s8a + 666624000*s8b + 63168000*s8c + 
    77952000*s8d - 268128000*li6half*z2 - 70560000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 1097600*ln2^6*z2 - 335832000*s6*z2 + 
    772800*li4half*z2^2 - 6435800*ln2^4*z2^2 + 38346000*ln2^2*z2^3 + 
    50947404*z2^4 - 100632000*li5half*z3 - 17640000*li4half*ln2*z3 + 
    103600*ln2^5*z3 - 8386000*ln2^3*z2*z3 - 69291600*ln2*z2^2*z3 - 
    8883000*ln2^2*z3^2 - 38592750*z2*z3^2 - 292036500*ln2*z2*z5 + 
    116182500*z3*z5)/9408000, H[0, -1, -1, 1, -1, -1, 0, 0, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    94752000*ln2^2*s6 - 229652325*s8a - 1999872000*s8b - 189504000*s8c - 
    233856000*s8d + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    714672000*s6*z2 - 139204800*li4half*z2^2 + 11839800*ln2^4*z2^2 - 
    19429200*ln2^2*z2^3 + 20599308*z2^4 + 241920000*li5half*z3 - 
    84672000*li4half*ln2*z3 - 5544000*ln2^5*z3 + 20160000*ln2^3*z2*z3 + 
    211755600*ln2*z2^2*z3 + 26649000*ln2^2*z3^2 + 196922250*z2*z3^2 + 
    568512000*ln2*z2*z5 - 166304250*z3*z5)/28224000, 
 H[0, -1, -1, 1, -1, -1, 0, -1, 1] -> 
  (12096000*li4half^2 - 645120000*li8half - 129024000*li7half*ln2 + 
    1008000*li4half*ln2^4 + 30600*ln2^8 + 60816000*ln2^2*s6 + 
    4032000*ln2*s7a + 32256000*ln2*s7b - 179136825*s8a - 1156008000*s8b - 
    129696000*s8c - 92064000*s8d - 28224000*li6half*z2 - 
    4032000*li5half*ln2*z2 - 10080000*li4half*ln2^2*z2 - 515200*ln2^6*z2 + 
    288960000*s6*z2 - 31315200*li4half*z2^2 + 2996000*ln2^4*z2^2 + 
    3583200*ln2^2*z2^3 + 45415728*z2^4 + 186816000*li5half*z3 + 
    33264000*li4half*ln2*z3 - 170800*ln2^5*z3 + 1456000*ln2^3*z2*z3 + 
    113807400*ln2*z2^2*z3 + 23278500*ln2^2*z3^2 + 135723000*z2*z3^2 - 
    27342000*ln2^3*z5 + 287595000*ln2*z2*z5 - 79051875*z3*z5 + 
    256599000*ln2*z7)/2688000, H[0, -1, -1, 1, -1, -1, -1, 1, 1] -> 
  (-310464000*li4half^2 + 1862784000*li8half - 28224000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 - 32928000*li4half*ln2^4 - 1061200*ln2^8 + 
    46368000*ln2^2*s6 + 220920525*s8a + 3301704000*s8b + 118944000*s8c + 
    360864000*s8d - 366912000*li6half*z2 - 508032000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 4664800*ln2^6*z2 - 996912000*s6*z2 + 
    241516800*li4half*z2^2 - 18984000*ln2^4*z2^2 - 169646400*ln2^2*z2^3 - 
    38576736*z2^4 - 178416000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    4687200*ln2^5*z3 - 27216000*ln2^3*z2*z3 - 124173000*ln2*z2^2*z3 - 
    45612000*ln2^2*z3^2 - 236943000*z2*z3^2 + 41013000*ln2^3*z5 - 
    695520000*ln2*z2*z5 - 359092125*z3*z5)/56448000, 
 H[0, -1, -1, 1, -1, -1, -1, 0, 1] -> 
  (141120000*li4half^2 + 2257920000*li8half + 11760000*li4half*ln2^4 + 
    301000*ln2^8 - 222768000*ln2^2*s6 + 514358775*s8a + 1651608000*s8b + 
    445536000*s8c - 135072000*s8d - 197568000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 70560000*li4half*ln2^2*z2 - 5488000*ln2^6*z2 + 
    227808000*s6*z2 - 106041600*li4half*z2^2 + 285600*ln2^4*z2^2 + 
    6199200*ln2^2*z2^3 - 18212976*z2^4 - 611856000*li5half*z3 + 
    169344000*li4half*ln2*z3 + 12154800*ln2^5*z3 - 50988000*ln2^3*z2*z3 - 
    498519000*ln2*z2^2*z3 - 62653500*ln2^2*z3^2 - 345177000*z2*z3^2 - 
    1213569000*ln2*z2*z5 + 199009125*z3*z5)/56448000, 
 H[0, -1, -1, 1, -1, -1, -1, -1, 1] -> 
  (21168000*li4half^2 - 423360000*li8half + 14112000*li7half*ln2 + 
    7056000*li6half*ln2^2 - 7056000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 
    165550*ln2^8 - 52668000*ln2^2*s6 + 29232000*ln2*s7a - 6048000*ln2*s7b - 
    9130275*s8a - 119448000*s8b - 6048000*s8c + 6048000*s8d - 
    105840000*li6half*z2 - 10584000*li4half*ln2^2*z2 - 970200*ln2^6*z2 - 
    12096000*s6*z2 - 15724800*li4half*z2^2 + 7224000*ln2^4*z2^2 + 
    60278400*ln2^2*z2^3 + 61838856*z2^4 - 3276000*li5half*z3 + 
    37044000*li4half*ln2*z3 + 1570800*ln2^5*z3 - 9534000*ln2^3*z2*z3 - 
    10092600*ln2*z2^2*z3 + 44611875*ln2^2*z3^2 + 3874500*z2*z3^2 + 
    23924250*ln2^3*z5 + 37012500*ln2*z2*z5 + 93169125*z3*z5 - 
    383685750*ln2*z7)/14112000, H[0, -1, -1, 0, 1, 1, 1, 1, 1] -> 
  (5040000*li4half^2 + 420000*li4half*ln2^4 + 8750*ln2^8 + 355950*s8a + 
    6048000*li6half*z2 + 6048000*li5half*ln2*z2 + 504000*li4half*ln2^2*z2 - 
    21000*ln2^6*z2 + 1512000*s6*z2 - 2016000*li4half*z2^2 - 
    147000*ln2^4*z2^2 + 504000*ln2^2*z2^3 - 804528*z2^4 - 
    8820000*li5half*z3 + 73500*ln2^5*z3 + 147000*ln2^3*z2*z3 - 
    1764000*ln2*z2^2*z3 - 401625*z2*z3^2 - 2929500*ln2*z2*z5 + 6780375*z3*z5)/
   2016000, H[0, -1, -1, 0, 1, 1, 1, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 555975*s8a + 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 403200*li4half*z2^2 - 
    235200*ln2^4*z2^2 - 100800*ln2^2*z2^3 - 434544*z2^4 + 
    7056000*li5half*z3 - 58800*ln2^5*z3 + 588000*ln2^3*z2*z3 + 
    352800*ln2*z2^2*z3 - 1031625*z2*z3^2 - 283500*z3*z5)/2016000, 
 H[0, -1, -1, 0, 1, 1, 1, -1, 1] -> (-21168000*ln2^2*s6 + 33264000*ln2*s7a + 
    54432000*ln2*s7b - 3534300*s8a - 50904000*s8b - 24192000*s8c + 
    10080000*s8d + 56448000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1332800*ln2^6*z2 + 1008000*s6*z2 - 
    7862400*li4half*z2^2 + 5552400*ln2^4*z2^2 + 630000*ln2^2*z2^3 - 
    23672088*z2^4 + 11592000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    2990400*ln2^5*z3 - 36078000*ln2^3*z2*z3 - 41983200*ln2*z2^2*z3 + 
    44982000*ln2^2*z3^2 - 6331500*z2*z3^2 - 20506500*ln2^3*z5 - 
    54904500*ln2*z2*z5 + 64858500*z3*z5 + 412421625*ln2*z7)/28224000, 
 H[0, -1, -1, 0, 1, 1, 0, 1, 1] -> (40775*s8a - 252000*s6*z2 - 23546*z2^4 + 
    195125*z2*z3^2 + 488250*ln2*z2*z5 - 402500*z3*z5)/224000, 
 H[0, -1, -1, 0, 1, 1, 0, 0, 1] -> (-840*s8a - 877*z2^4 - 2520*z2*z3^2 + 
    10815*z3*z5)/13440, H[0, -1, -1, 0, 1, 1, 0, -1, 1] -> 
  (-80*s8a + 56*z2^4 + 125*z2*z3^2 - 500*z3*z5)/1280, 
 H[0, -1, -1, 0, 1, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    11256000*ln2^2*s6 - 26939325*s8a - 141792000*s8b - 29568000*s8c + 
    1344000*s8d - 56448000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 19600*ln2^6*z2 - 13272000*s6*z2 + 
    12969600*li4half*z2^2 + 1716400*ln2^4*z2^2 - 5350800*ln2^2*z2^3 - 
    3819912*z2^4 + 44352000*li5half*z3 - 369600*ln2^5*z3 + 
    3696000*ln2^3*z2*z3 + 32709600*ln2*z2^2*z3 + 5481000*ln2^2*z3^2 + 
    39117750*z2*z3^2 + 152869500*ln2*z2*z5 - 52269000*z3*z5)/9408000, 
 H[0, -1, -1, 0, 1, 1, -1, 0, 1] -> 
  (4368000*ln2^2*s6 - 4760175*s8a + 21504000*s8b - 8736000*s8c + 
    8736000*s8d - 26880000*s6*z2 + 2923200*li4half*z2^2 + 121800*ln2^4*z2^2 - 
    2780400*ln2^2*z2^3 - 3346498*z2^4 + 13104000*li5half*z3 - 
    109200*ln2^5*z3 + 1092000*ln2^3*z2*z3 + 9664200*ln2*z2^2*z3 + 
    1228500*ln2^2*z3^2 + 7930125*z2*z3^2 + 26208000*ln2*z2*z5 - 
    24010875*z3*z5)/4704000, H[0, -1, -1, 0, 1, 1, -1, -1, 1] -> 
  (138600000*ln2^2*s6 - 45360000*ln2*s7a + 60480000*ln2*s7b - 213946425*s8a - 
    1024632000*s8b - 165312000*s8c - 116928000*s8d + 112896000*li6half*z2 + 
    156800*ln2^6*z2 + 382032000*s6*z2 - 23385600*li4half*z2^2 - 
    3326400*ln2^4*z2^2 - 64436400*ln2^2*z2^3 - 9308088*z2^4 + 
    247968000*li5half*z3 - 2066400*ln2^5*z3 + 20664000*ln2^3*z2*z3 + 
    165488400*ln2*z2^2*z3 - 37422000*ln2^2*z3^2 + 170730000*z2*z3^2 - 
    102532500*ln2^3*z5 + 314968500*ln2*z2*z5 - 462412125*z3*z5 + 
    333277875*ln2*z7)/28224000, H[0, -1, -1, 0, 1, 0, 1, 1, 1] -> 
  (-20160000*li4half^2 - 1680000*li4half*ln2^4 - 35000*ln2^8 - 1655325*s8a - 
    24192000*li6half*z2 - 24192000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 - 3780000*s6*z2 + 
    8064000*li4half*z2^2 + 588000*ln2^4*z2^2 - 2016000*ln2^2*z2^3 + 
    3262788*z2^4 + 35280000*li5half*z3 - 294000*ln2^5*z3 - 
    588000*ln2^3*z2*z3 + 7056000*ln2*z2^2*z3 - 622125*z2*z3^2 + 
    7323750*ln2*z2*z5 - 21727125*z3*z5)/2016000, 
 H[0, -1, -1, 0, 1, 0, 1, 0, 1] -> (1152000*li4half^2 + 96000*li4half*ln2^4 + 
    2000*ln2^8 - 85050*s8a - 576000*li4half*ln2^2*z2 - 24000*ln2^6*z2 - 
    115200*li4half*z2^2 + 67200*ln2^4*z2^2 + 28800*ln2^2*z2^3 + 77607*z2^4 - 
    2016000*li5half*z3 + 16800*ln2^5*z3 - 168000*ln2^3*z2*z3 - 
    100800*ln2*z2^2*z3 + 216000*z2*z3^2 + 441000*z3*z5)/144000, 
 H[0, -1, -1, 0, 1, 0, 1, -1, 1] -> (3920000*ln2^2*s6 - 4144000*ln2*s7a - 
    4144000*ln2*s7b - 758975*s8a + 2184000*s8b + 448000*s8c - 448000*s8d + 
    4704000*li5half*ln2*z2 + 4704000*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 
    896000*s6*z2 + 1008000*li4half*z2^2 - 742000*ln2^4*z2^2 - 
    988400*ln2^2*z2^3 + 993864*z2^4 - 1848000*li5half*z3 - 
    8232000*li4half*ln2*z3 - 327600*ln2^5*z3 + 3962000*ln2^3*z2*z3 + 
    5027400*ln2*z2^2*z3 - 5243000*ln2^2*z3^2 + 1219750*z2*z3^2 + 
    7778750*ln2*z2*z5 - 6587000*z3*z5 - 35356125*ln2*z7)/784000, 
 H[0, -1, -1, 0, 1, 0, 0, 1, 1] -> (106225*s8a - 420000*s6*z2 - 81789*z2^4 + 
    223125*z2*z3^2 + 813750*ln2*z2*z5 - 258125*z3*z5)/112000, 
 H[0, -1, -1, 0, 1, 0, 0, 0, 1] -> (-5400*s8a - 7469*z2^4 - 4500*z2*z3^2 + 
    54000*z3*z5)/12000, H[0, -1, -1, 0, 1, 0, 0, -1, 1] -> 
  (15050*s8a - 145600*s8b - 39301*z2^4 - 33600*z2*z3^2 + 236775*z3*z5 + 
    288925*ln2*z7)/22400, H[0, -1, -1, 0, 1, 0, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    33264000*ln2^2*s6 + 37050300*s8a + 19152000*s8b + 66528000*s8c - 
    66528000*s8d + 254016000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 470400*ln2^6*z2 + 228312000*s6*z2 - 
    38707200*li4half*z2^2 + 151200*ln2^4*z2^2 + 8013600*ln2^2*z2^3 + 
    1348668*z2^4 - 64512000*li5half*z3 + 537600*ln2^5*z3 - 
    5376000*ln2^3*z2*z3 - 58602600*ln2*z2^2*z3 - 17073000*ln2^2*z3^2 - 
    74481750*z2*z3^2 - 329238000*ln2*z2*z5 + 30783375*z3*z5)/14112000, 
 H[0, -1, -1, 0, 1, 0, -1, 0, 1] -> (12600*s8a - 29879*z2^4 - 70000*z2*z3^2 + 
    297500*z3*z5)/112000, H[0, -1, -1, 0, 1, 0, -1, -1, 1] -> 
  (336000*ln2^2*s6 - 672000*ln2*s7a - 672000*ln2*s7b + 862575*s8a - 
    3192000*s8b + 672000*s8c - 672000*s8d + 1344000*s6*z2 - 
    134400*li4half*z2^2 - 5600*ln2^4*z2^2 - 100800*ln2^2*z2^3 - 603408*z2^4 + 
    1344000*li5half*z3 - 11200*ln2^5*z3 + 112000*ln2^3*z2*z3 + 
    331800*ln2*z2^2*z3 - 420000*ln2^2*z3^2 - 1312500*z2*z3^2 - 
    42000*ln2*z2*z5 + 4396875*z3*z5 + 1645875*ln2*z7)/940800, 
 H[0, -1, -1, 0, 1, -1, 1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    47712000*ln2^2*s6 + 57493275*s8a + 234696000*s8b + 95424000*s8c - 
    53088000*s8d + 98784000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 - 274400*ln2^6*z2 + 148512000*s6*z2 - 
    23318400*li4half*z2^2 + 498400*ln2^4*z2^2 + 14960400*ln2^2*z2^3 + 
    35281524*z2^4 - 19656000*li5half*z3 + 163800*ln2^5*z3 - 
    13986000*ln2^3*z2*z3 - 80866800*ln2*z2^2*z3 - 13419000*ln2^2*z3^2 - 
    101703000*z2*z3^2 + 2278500*ln2^3*z5 - 457159500*ln2*z2*z5 + 
    33269250*z3*z5)/9408000, H[0, -1, -1, 0, 1, -1, 1, 0, 1] -> 
  (5376000*ln2^2*s6 - 8178450*s8a - 45360000*s8b - 10752000*s8c + 
    10752000*s8d - 9744000*s6*z2 + 2150400*li4half*z2^2 + 89600*ln2^4*z2^2 + 
    4267200*ln2^2*z2^3 - 5475832*z2^4 - 33264000*li5half*z3 + 
    277200*ln2^5*z3 - 2772000*ln2^3*z2*z3 + 9424800*ln2*z2^2*z3 + 
    1512000*ln2^2*z3^2 + 8229375*z2*z3^2 + 35673750*ln2*z2*z5 + 
    26302500*z3*z5)/4704000, H[0, -1, -1, 0, 1, -1, 1, -1, 1] -> 
  (173376000*ln2^2*s6 - 108864000*ln2*s7a - 151200000*ln2*s7b - 
    260892450*s8a - 932400000*s8b - 129024000*s8c - 96768000*s8d - 
    451584000*li6half*z2 - 254016000*li5half*ln2*z2 + 1489600*ln2^6*z2 + 
    193536000*s6*z2 - 19353600*li4half*z2^2 - 12566400*ln2^4*z2^2 - 
    64562400*ln2^2*z2^3 + 132261048*z2^4 + 341712000*li5half*z3 - 
    2847600*ln2^5*z3 + 139608000*ln2^3*z2*z3 + 338083200*ln2*z2^2*z3 - 
    117936000*ln2^2*z3^2 + 291028500*z2*z3^2 + 27342000*ln2^3*z5 + 
    1135512000*ln2*z2*z5 - 916965000*z3*z5 - 1561258125*ln2*z7)/56448000, 
 H[0, -1, -1, 0, 1, -1, 0, 1, 1] -> 
  (-460800*li4half^2 - 38400*li4half*ln2^4 - 800*ln2^8 + 230400*ln2^2*s6 - 
    103050*s8a - 460800*s8b - 460800*s8c + 460800*s8d - 2073600*li6half*z2 - 
    1382400*li5half*ln2*z2 - 115200*li4half*ln2^2*z2 + 3840*ln2^6*z2 - 
    2044800*s6*z2 + 316800*li4half*z2^2 - 1200*ln2^4*z2^2 - 
    67680*ln2^2*z2^3 - 113436*z2^4 + 691200*li5half*z3 - 5760*ln2^5*z3 + 
    57600*ln2^3*z2*z3 + 509760*ln2*z2^2*z3 + 64800*ln2^2*z3^2 + 
    722025*z2*z3^2 + 3433050*ln2*z2*z5 - 344700*z3*z5)/57600, 
 H[0, -1, -1, 0, 1, -1, 0, 0, 1] -> 
  (-362775*s8a + 3696000*s8b - 840000*s6*z2 + 1579200*li4half*z2^2 + 
    65800*ln2^4*z2^2 - 394800*ln2^2*z2^3 - 190439*z2^4 + 139125*z2*z3^2 - 
    1829625*z3*z5)/336000, H[0, -1, -1, 0, 1, -1, 0, -1, 1] -> 
  (-32256000*li4half^2 - 2688000*li4half*ln2^4 - 56000*ln2^8 + 
    16128000*ln2^2*s6 - 16128000*ln2*s7a - 16128000*ln2*s7b + 5125050*s8a - 
    13104000*s8b + 16128000*li4half*ln2^2*z2 + 672000*ln2^6*z2 - 
    8064000*s6*z2 + 26208000*li4half*z2^2 - 924000*ln2^4*z2^2 - 
    9374400*ln2^2*z2^3 - 12592512*z2^4 - 56448000*li4half*ln2*z3 - 
    2352000*ln2^5*z3 + 14112000*ln2^3*z2*z3 + 25804800*ln2*z2^2*z3 - 
    20160000*ln2^2*z3^2 - 4425750*z2*z3^2 + 50305500*ln2*z2*z5 + 
    38469375*z3*z5 - 47509875*ln2*z7)/4032000, 
 H[0, -1, -1, 0, 1, -1, -1, 1, 1] -> 
  (-1243200*ln2^2*s6 + 2715825*s8a + 10920000*s8b + 1478400*s8c + 
    1747200*s8d - 3628800*li6half*z2 - 1209600*li5half*ln2*z2 + 
    5040*ln2^6*z2 - 7123200*s6*z2 + 349440*li4half*z2^2 - 10640*ln2^4*z2^2 + 
    902400*ln2^2*z2^3 - 200184*z2^4 - 2217600*li5half*z3 + 18480*ln2^5*z3 - 
    184800*ln2^3*z2*z3 - 1635480*ln2*z2^2*z3 - 18900*ln2^2*z3^2 - 
    997500*z2*z3^2 - 65100*ln2^3*z5 - 995400*ln2*z2*z5 + 5418525*z3*z5)/
   268800, H[0, -1, -1, 0, 1, -1, -1, 0, 1] -> 
  (4368000*ln2^2*s6 - 10849650*s8a + 43848000*s8b - 8736000*s8c + 
    8736000*s8d - 38640000*s6*z2 + 2923200*li4half*z2^2 + 121800*ln2^4*z2^2 - 
    2780400*ln2^2*z2^3 - 545714*z2^4 + 13104000*li5half*z3 - 
    109200*ln2^5*z3 + 1092000*ln2^3*z2*z3 + 9664200*ln2*z2^2*z3 + 
    1228500*ln2^2*z3^2 + 13442625*z2*z3^2 + 22790250*ln2*z2*z5 - 
    45178875*z3*z5)/4704000, H[0, -1, -1, 0, 1, -1, -1, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    2160000*ln2^2*s6 + 10944000*ln2*s7a - 19296000*ln2*s7b + 9705150*s8a + 
    32256000*s8b + 4032000*s8c + 4032000*s8d + 16128000*li6half*z2 + 
    2016000*li4half*ln2^2*z2 + 106400*ln2^6*z2 - 36288000*s6*z2 + 
    4032000*li4half*z2^2 - 420000*ln2^4*z2^2 - 8560800*ln2^2*z2^3 - 
    11981376*z2^4 - 6048000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    243600*ln2^5*z3 + 1260000*ln2^3*z2*z3 + 3733200*ln2*z2^2*z3 + 
    7443000*ln2^2*z3^2 - 598500*z2*z3^2 + 31248000*ln2^3*z5 + 
    45531000*ln2*z2*z5 + 29830500*z3*z5 + 11728125*ln2*z7)/8064000, 
 H[0, -1, -1, 0, 0, 1, 1, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 177975*s8a + 
    9072000*li6half*z2 + 9072000*li5half*ln2*z2 + 504000*li4half*ln2^2*z2 - 
    42000*ln2^6*z2 + 2268000*s6*z2 - 2318400*li4half*z2^2 - 
    159600*ln2^4*z2^2 + 579600*ln2^2*z2^3 - 931236*z2^4 - 
    14112000*li5half*z3 + 117600*ln2^5*z3 + 147000*ln2^3*z2*z3 - 
    2028600*ln2*z2^2*z3 + 181125*z2*z3^2 - 4394250*ln2*z2*z5 + 6457500*z3*z5)/
   1008000, H[0, -1, -1, 0, 0, 1, 1, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 1633275*s8a + 
    8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 + 100800*li4half*z2^2 - 
    1003800*ln2^4*z2^2 - 25200*ln2^2*z2^3 - 617976*z2^4 + 
    28224000*li5half*z3 - 235200*ln2^5*z3 + 2352000*ln2^3*z2*z3 + 
    88200*ln2*z2^2*z3 - 1543500*z2*z3^2 - 8670375*z3*z5)/2016000, 
 H[0, -1, -1, 0, 0, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    105840000*ln2^2*s6 + 145152000*ln2*s7a + 173376000*ln2*s7b - 
    61694325*s8a - 455616000*s8b - 78624000*s8c - 6048000*s8d - 
    169344000*li5half*ln2*z2 - 141120000*li4half*ln2^2*z2 - 
    4468800*ln2^6*z2 + 89712000*s6*z2 - 66124800*li4half*z2^2 + 
    16648800*ln2^4*z2^2 + 19026000*ln2^2*z2^3 - 27723432*z2^4 + 
    110880000*li5half*z3 + 345744000*li4half*ln2*z3 + 13482000*ln2^5*z3 - 
    114240000*ln2^3*z2*z3 - 160700400*ln2*z2^2*z3 + 192496500*ln2^2*z3^2 + 
    28318500*z2*z3^2 - 27342000*ln2^3*z5 - 171108000*ln2*z2*z5 + 
    92822625*z3*z5 + 1409152500*ln2*z7)/28224000, 
 H[0, -1, -1, 0, 0, 1, 0, 1, 1] -> 
  (-5825*s8a + 120000*s6*z2 + 24000*li4half*z2^2 + 1000*ln2^4*z2^2 - 
    6000*ln2^2*z2^3 + 988*z2^4 + 21000*ln2*z2^2*z3 - 115250*z2*z3^2 - 
    232500*ln2*z2*z5 + 227875*z3*z5)/32000, H[0, -1, -1, 0, 0, 1, 0, 0, 1] -> 
  (-3825*s8a + 72000*li4half*z2^2 + 3000*ln2^4*z2^2 - 18000*ln2^2*z2^3 - 
    3262*z2^4 + 63000*ln2*z2^2*z3 + 8250*z2*z3^2 - 154875*z3*z5)/16000, 
 H[0, -1, -1, 0, 0, 1, 0, -1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b + 2633400*s8a + 
    8064000*s8b + 8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 16128000*s6*z2 + 5241600*li4half*z2^2 - 
    285600*ln2^4*z2^2 - 2923200*ln2^2*z2^3 + 5043429*z2^4 + 
    16128000*li5half*z3 - 14112000*li4half*ln2*z3 - 722400*ln2^5*z3 + 
    4872000*ln2^3*z2*z3 + 9979200*ln2*z2^2*z3 - 11214000*ln2^2*z3^2 - 
    3276000*z2*z3^2 - 504000*ln2*z2*z5 - 30704625*z3*z5 - 72261000*ln2*z7)/
   1008000, H[0, -1, -1, 0, 0, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    58464000*ln2^2*s6 + 80817975*s8a + 425376000*s8b + 88704000*s8c - 
    4032000*s8d - 84672000*li6half*z2 - 28224000*li4half*ln2^2*z2 - 
    1293600*ln2^6*z2 - 23688000*s6*z2 + 23184000*li4half*z2^2 + 
    11550000*ln2^4*z2^2 + 34675200*ln2^2*z2^3 + 37644216*z2^4 + 
    8064000*li5half*z3 - 67200*ln2^5*z3 - 48720000*ln2^3*z2*z3 - 
    71227800*ln2*z2^2*z3 + 23688000*ln2^2*z3^2 - 124740000*z2*z3^2 - 
    451332000*ln2*z2*z5 + 141757875*z3*z5)/28224000, 
 H[0, -1, -1, 0, 0, 1, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    4032000*ln2^2*s6 - 4337550*s8a - 10080000*s8b - 8064000*s8c + 
    8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 
    12096000*s6*z2 - 2217600*li4half*z2^2 + 411600*ln2^4*z2^2 + 
    756000*ln2^2*z2^3 - 2906478*z2^4 - 16128000*li5half*z3 + 
    134400*ln2^5*z3 - 1344000*ln2^3*z2*z3 + 4296600*ln2*z2^2*z3 + 
    1134000*ln2^2*z3^2 + 6741000*z2*z3^2 + 24192000*ln2*z2*z5 + 
    7804125*z3*z5)/2016000, H[0, -1, -1, 0, 0, 1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    25704000*ln2^2*s6 - 35280000*ln2*s7a - 49392000*ln2*s7b - 6534675*s8a + 
    58968000*s8b + 33264000*s8c - 33264000*s8d + 35280000*li4half*ln2^2*z2 + 
    1470000*ln2^6*z2 + 84168000*s6*z2 + 18043200*li4half*z2^2 - 
    6304200*ln2^4*z2^2 - 20424600*ln2^2*z2^3 + 40450812*z2^4 + 
    66528000*li5half*z3 - 74088000*li4half*ln2*z3 - 3641400*ln2^5*z3 + 
    42588000*ln2^3*z2*z3 + 59736600*ln2*z2^2*z3 - 66858750*ln2^2*z3^2 + 
    4047750*z2*z3^2 + 13671000*ln2^3*z5 + 45738000*ln2*z2*z5 - 
    239699250*z3*z5 - 519387750*ln2*z7)/14112000, 
 H[0, -1, -1, 0, 0, 0, 1, 1, 1] -> 
  (-177975*s8a - 23756*z2^4 - 168000*z2*z3^2 + 609000*z3*z5)/672000, 
 H[0, -1, -1, 0, 0, 0, 1, 0, 1] -> (99225*s8a - 39944*z2^4 - 63000*z2*z3^2 + 
    252000*z3*z5)/168000, H[0, -1, -1, 0, 0, 0, 1, -1, 1] -> 
  (1075200*ln2*s7a + 1075200*ln2*s7b + 197400*s8a + 1747200*s8b - 
    2150400*s8c + 2150400*s8d - 6182400*s6*z2 + 430080*li4half*z2^2 + 
    17920*ln2^4*z2^2 + 134400*ln2^2*z2^3 - 1691726*z2^4 - 
    4300800*li5half*z3 + 35840*ln2^5*z3 - 358400*ln2^3*z2*z3 - 
    852600*ln2*z2^2*z3 + 1646400*ln2^2*z3^2 + 1068900*z2*z3^2 + 
    6600300*ln2*z2*z5 + 7020825*z3*z5 + 5767650*ln2*z7)/940800, 
 H[0, -1, -1, 0, 0, 0, 0, 1, 1] -> (-108675*s8a - 252000*s6*z2 + 35692*z2^4 + 
    315000*z2*z3^2 + 488250*ln2*z2*z5 - 850500*z3*z5)/168000, 
 H[0, -1, -1, 0, 0, 0, 0, 0, 1] -> (12600*s8a - 22549*z2^4 + 105000*z3*z5)/
   28000, H[0, -1, -1, 0, 0, 0, 0, -1, 1] -> 
  (-219975*s8a - 1512000*s8b - 197606*z2^4 + 126000*z2*z3^2 + 637875*z3*z5 + 
    3000375*ln2*z7)/336000, H[0, -1, -1, 0, 0, 0, -1, 1, 1] -> 
  (-2688000*ln2^2*s6 + 2531025*s8a - 4368000*s8b + 5376000*s8c - 
    5376000*s8d + 2520000*s6*z2 - 1075200*li4half*z2^2 - 44800*ln2^4*z2^2 + 
    134400*ln2^2*z2^3 + 1923284*z2^4 + 10752000*li5half*z3 - 89600*ln2^5*z3 + 
    896000*ln2^3*z2*z3 + 1608600*ln2*z2^2*z3 - 4872000*ln2^2*z3^2 + 
    4677750*z2*z3^2 + 1512000*ln2*z2*z5 - 27391875*z3*z5)/4704000, 
 H[0, -1, -1, 0, 0, 0, -1, 0, 1] -> 
  (-18900*s8a - 76669*z2^4 - 231000*z2*z3^2 + 887250*z3*z5)/168000, 
 H[0, -1, -1, 0, 0, 0, -1, -1, 1] -> 
  (2688000*ln2^2*s6 - 5376000*ln2*s7a - 5376000*ln2*s7b + 6536775*s8a - 
    27888000*s8b + 5376000*s8c - 5376000*s8d + 10752000*s6*z2 - 
    1075200*li4half*z2^2 - 44800*ln2^4*z2^2 - 806400*ln2^2*z2^3 - 
    5105696*z2^4 + 10752000*li5half*z3 - 89600*ln2^5*z3 + 
    896000*ln2^3*z2*z3 + 2654400*ln2*z2^2*z3 - 3360000*ln2^2*z3^2 - 
    10206000*z2*z3^2 - 336000*ln2*z2*z5 + 35818125*z3*z5 + 17834250*ln2*z7)/
   4704000, H[0, -1, -1, 0, 0, -1, 1, 1, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    13104000*ln2^2*s6 - 15321600*s8a - 28224000*s8b - 26208000*s8c + 
    22176000*s8d - 48384000*li6half*z2 - 36288000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 + 151200*ln2^6*z2 - 66528000*s6*z2 + 
    8064000*li4half*z2^2 - 672000*ln2^4*z2^2 - 4006800*ln2^2*z2^3 - 
    7101156*z2^4 + 5040000*li5half*z3 - 42000*ln2^5*z3 + 
    3948000*ln2^3*z2*z3 + 21987000*ln2*z2^2*z3 + 3685500*ln2^2*z3^2 + 
    28145250*z2*z3^2 + 1302000*ln2^3*z5 + 124519500*ln2*z2*z5 - 
    7174125*z3*z5)/4032000, H[0, -1, -1, 0, 0, -1, 1, 0, 1] -> 
  (-1344000*ln2^2*s6 + 1677900*s8a + 3360000*s8b + 2688000*s8c - 
    2688000*s8d + 3696000*s6*z2 - 537600*li4half*z2^2 - 22400*ln2^4*z2^2 + 
    67200*ln2^2*z2^3 + 1131414*z2^4 + 672000*li5half*z3 - 5600*ln2^5*z3 + 
    56000*ln2^3*z2*z3 - 2549400*ln2*z2^2*z3 - 378000*ln2^2*z3^2 - 
    1569750*z2*z3^2 - 7413000*ln2*z2*z5 - 18375*z3*z5)/672000, 
 H[0, -1, -1, 0, 0, -1, 1, -1, 1] -> 
  (-28224000*ln2^2*s6 + 17472000*ln2*s7a + 8064000*ln2*s7b + 43482075*s8a + 
    155400000*s8b + 21504000*s8c + 16128000*s8d + 28224000*li5half*ln2*z2 - 
    235200*ln2^6*z2 - 69888000*s6*z2 + 3225600*li4half*z2^2 + 
    2486400*ln2^4*z2^2 + 16178400*ln2^2*z2^3 - 11812868*z2^4 - 
    48720000*li5half*z3 + 406000*ln2^5*z3 - 16408000*ln2^3*z2*z3 - 
    41777400*ln2*z2^2*z3 + 18816000*ln2^2*z3^2 - 33400500*z2*z3^2 + 
    6076000*ln2^3*z5 - 106354500*ln2*z2*z5 + 136510500*z3*z5 + 
    113413125*ln2*z7)/9408000, H[0, -1, -1, 0, 0, -1, 0, 1, 1] -> 
  (-85225*s8a + 140000*s6*z2 + 43679*z2^4 - 45500*z2*z3^2 - 
    271250*ln2*z2*z5 - 23625*z3*z5)/112000, 
 H[0, -1, -1, 0, 0, -1, 0, 0, 1] -> (11900*s8a - 743*z2^4 + 2800*z2*z3^2 - 
    8225*z3*z5)/11200, H[0, -1, -1, 0, 0, -1, 0, -1, 1] -> 
  (-284725*s8a + 728000*s8b - 112000*s6*z2 + 304834*z2^4 + 516250*z2*z3^2 + 
    217000*ln2*z2*z5 - 2368625*z3*z5 - 1444625*ln2*z7)/224000, 
 H[0, -1, -1, 0, 0, -1, -1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    3024000*ln2^2*s6 - 4153275*s8a - 17136000*s8b - 4032000*s8c - 
    6048000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 + 8400*ln2^6*z2 + 
    2520000*s6*z2 + 1814400*li4half*z2^2 + 75600*ln2^4*z2^2 - 
    2079000*ln2^2*z2^3 - 988644*z2^4 + 7056000*li5half*z3 - 58800*ln2^5*z3 + 
    588000*ln2^3*z2*z3 + 4699800*ln2*z2^2*z3 + 78750*ln2^2*z3^2 + 
    3535875*z2*z3^2 - 651000*ln2^3*z5 + 18002250*ln2*z2*z5 - 8686125*z3*z5)/
   2016000, H[0, -1, -1, 0, 0, -1, -1, 0, 1] -> 
  (2240*s6*z2 + 417*z2^4 - 1085*z2*z3^2 - 4340*ln2*z2*z5 + 805*z3*z5)/4480, 
 H[0, -1, -1, 0, 0, -1, -1, -1, 1] -> 
  (336000*ln2^2*s6 - 672000*ln2*s7a + 672000*ln2*s7b - 1617525*s8a - 
    5376000*s8b - 672000*s8c - 672000*s8d + 2016000*s6*z2 - 
    134400*li4half*z2^2 - 5600*ln2^4*z2^2 - 100800*ln2^2*z2^3 + 442976*z2^4 + 
    1344000*li5half*z3 - 11200*ln2^5*z3 + 112000*ln2^3*z2*z3 + 
    676200*ln2*z2^2*z3 - 420000*ln2^2*z3^2 + 1690500*z2*z3^2 - 
    868000*ln2^3*z5 - 5609625*z3*z5 + 3333750*ln2*z7)/1344000, 
 H[0, -1, -1, 0, -1, 1, 1, 1, 1] -> 
  (19756800*li4half^2 + 1646400*li4half*ln2^4 + 34300*ln2^8 + 
    22780800*ln2^2*s6 - 29504475*s8a - 67939200*s8b - 45561600*s8c + 
    35683200*s8d - 36691200*li6half*z2 - 16934400*li5half*ln2*z2 - 
    1411200*li4half*ln2^2*z2 + 31360*ln2^6*z2 - 90417600*s6*z2 + 
    7136640*li4half*z2^2 - 1231440*ln2^4*z2^2 - 4399920*ln2^2*z2^3 - 
    16588584*z2^4 - 50198400*li5half*z3 + 418320*ln2^5*z3 + 
    6930000*ln2^3*z2*z3 + 33362280*ln2*z2^2*z3 + 6407100*ln2^2*z3^2 + 
    49297500*z2*z3^2 + 190001700*ln2*z2*z5 + 4142250*z3*z5)/5644800, 
 H[0, -1, -1, 0, -1, 1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    9744000*ln2^2*s6 + 15044400*s8a + 23856000*s8b + 19488000*s8c - 
    19488000*s8d + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 
    34860000*s6*z2 - 7543200*li4half*z2^2 - 2078300*ln2^4*z2^2 - 
    869400*ln2^2*z2^3 + 8122064*z2^4 + 69552000*li5half*z3 - 
    579600*ln2^5*z3 + 5796000*ln2^3*z2*z3 - 21249900*ln2*z2^2*z3 - 
    2740500*ln2^2*z3^2 - 16765875*z2*z3^2 - 58464000*ln2*z2*z5 - 
    17928750*z3*z5)/4704000, H[0, -1, -1, 0, -1, 1, 1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    66192000*ln2^2*s6 + 59472000*ln2*s7a + 52416000*ln2*s7b + 26450025*s8a + 
    42000000*s8b + 13440000*s8c + 7728000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 22512000*s6*z2 - 21033600*li4half*z2^2 + 
    5297600*ln2^4*z2^2 + 24175200*ln2^2*z2^3 - 9967656*z2^4 - 
    20160000*li5half*z3 + 98784000*li4half*ln2*z3 + 4284000*ln2^5*z3 - 
    44898000*ln2^3*z2*z3 - 99086400*ln2*z2^2*z3 + 72450000*ln2^2*z3^2 - 
    31431750*z2*z3^2 + 6835500*ln2^3*z5 - 232438500*ln2*z2*z5 + 
    146958000*z3*z5 + 529814250*ln2*z7)/9408000, 
 H[0, -1, -1, 0, -1, 1, 0, 1, 1] -> 
  (32256000*li4half^2 + 2688000*li4half*ln2^4 + 56000*ln2^8 - 
    16128000*ln2^2*s6 + 19507950*s8a + 32256000*s8b + 32256000*s8c - 
    32256000*s8d + 145152000*li6half*z2 + 96768000*li5half*ln2*z2 + 
    8064000*li4half*ln2^2*z2 - 268800*ln2^6*z2 + 131040000*s6*z2 - 
    17640000*li4half*z2^2 + 273000*ln2^4*z2^2 + 3603600*ln2^2*z2^3 - 
    717768*z2^4 - 48384000*li5half*z3 + 403200*ln2^5*z3 - 
    4032000*ln2^3*z2*z3 - 31714200*ln2*z2^2*z3 - 4536000*ln2^2*z3^2 - 
    58117500*z2*z3^2 - 216877500*ln2*z2*z5 + 62267625*z3*z5)/4032000, 
 H[0, -1, -1, 0, -1, 1, 0, 0, 1] -> 
  (-1751925*s8a - 7392000*s8b + 1680000*s6*z2 + 1377600*li4half*z2^2 + 
    57400*ln2^4*z2^2 - 344400*ln2^2*z2^3 + 481412*z2^4 + 
    3969000*ln2*z2^2*z3 + 231000*z2*z3^2 - 6242250*z3*z5)/672000, 
 H[0, -1, -1, 0, -1, 1, 0, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    8064000*ln2^2*s6 - 32256000*ln2*s7a - 32256000*ln2*s7b + 15219225*s8a + 
    29736000*s8b + 48384000*s8c - 48384000*s8d + 8064000*li4half*ln2^2*z2 + 
    336000*ln2^6*z2 + 103320000*s6*z2 + 5241600*li4half*z2^2 - 
    789600*ln2^4*z2^2 - 8164800*ln2^2*z2^3 + 33612696*z2^4 + 
    96768000*li5half*z3 - 28224000*li4half*ln2*z3 - 1982400*ln2^5*z3 + 
    15120000*ln2^3*z2*z3 + 34070400*ln2*z2^2*z3 - 47124000*ln2^2*z3^2 - 
    22380750*z2*z3^2 - 50400000*ln2*z2*z5 - 169344000*z3*z5 - 
    323048250*ln2*z7)/4032000, H[0, -1, -1, 0, -1, 1, -1, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 - 
    118944000*ln2^2*s6 + 305957925*s8a + 1378440000*s8b + 280224000*s8c - 
    12096000*s8d + 197568000*li6half*z2 - 84672000*li4half*ln2^2*z2 - 
    3253600*ln2^6*z2 + 45360000*s6*z2 + 69552000*li4half*z2^2 + 
    25242000*ln2^4*z2^2 + 30240000*ln2^2*z2^3 + 36244008*z2^4 + 
    24192000*li5half*z3 - 201600*ln2^5*z3 - 146160000*ln2^3*z2*z3 - 
    232205400*ln2*z2^2*z3 + 49896000*ln2^2*z3^2 - 442134000*z2*z3^2 - 
    1225665000*ln2*z2*z5 + 440377875*z3*z5)/56448000, 
 H[0, -1, -1, 0, -1, 1, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    5376000*ln2^2*s6 - 14455350*s8a - 45360000*s8b - 10752000*s8c + 
    10752000*s8d - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 
    7980000*s6*z2 - 11256000*li4half*z2^2 + 1295000*ln2^4*z2^2 + 
    7618800*ln2^2*z2^3 - 514946*z2^4 - 82656000*li5half*z3 + 
    688800*ln2^5*z3 - 6888000*ln2^3*z2*z3 - 2305800*ln2*z2^2*z3 + 
    1512000*ln2^2*z3^2 + 16387875*z2*z3^2 + 32256000*ln2*z2*z5 + 
    42472500*z3*z5)/4704000, H[0, -1, -1, 0, -1, 1, -1, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    6585600*ln2^2*s6 - 10886400*ln2*s7a - 24998400*ln2*s7b + 20654025*s8a + 
    135307200*s8b + 32121600*s8c - 1075200*s8d - 22579200*li6half*z2 + 
    14112000*li4half*ln2^2*z2 + 556640*ln2^6*z2 - 14784000*s6*z2 + 
    9663360*li4half*z2^2 - 1949360*ln2^4*z2^2 + 1236480*ln2^2*z2^3 + 
    18291144*z2^4 + 1209600*li5half*z3 - 29635200*li4half*ln2*z3 - 
    1244880*ln2^5*z3 + 14918400*ln2^3*z2*z3 + 5979960*ln2*z2^2*z3 - 
    24078600*ln2^2*z3^2 - 14227500*z2*z3^2 + 13671000*ln2^3*z5 - 
    22491000*ln2*z2*z5 - 48137775*z3*z5 - 229789350*ln2*z7)/3763200, 
 H[0, -1, -1, 0, -1, 0, 1, 1, 1] -> 
  (-5760000*li4half^2 - 480000*li4half*ln2^4 - 10000*ln2^8 - 728100*s8a - 
    6912000*li6half*z2 - 6912000*li5half*ln2*z2 - 576000*li4half*ln2^2*z2 + 
    24000*ln2^6*z2 - 1080000*s6*z2 + 2304000*li4half*z2^2 + 
    168000*ln2^4*z2^2 - 576000*ln2^2*z2^3 + 889524*z2^4 + 
    10080000*li5half*z3 - 84000*ln2^5*z3 - 168000*ln2^3*z2*z3 + 
    2016000*ln2*z2^2*z3 - 461250*z2*z3^2 + 2092500*ln2*z2*z5 - 5203125*z3*z5)/
   576000, H[0, -1, -1, 0, -1, 0, 1, 0, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 + 579600*s8a - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 161280*li4half*z2^2 + 
    94080*ln2^4*z2^2 + 40320*ln2^2*z2^3 - 184167*z2^4 - 2822400*li5half*z3 + 
    23520*ln2^5*z3 - 235200*ln2^3*z2*z3 - 141120*ln2*z2^2*z3 - 
    148050*z2*z3^2 + 2612925*z3*z5)/201600, 
 H[0, -1, -1, 0, -1, 0, 1, -1, 1] -> 
  (15680000*ln2^2*s6 - 8512000*ln2*s7a - 8512000*ln2*s7b - 816725*s8a + 
    19880000*s8b - 14336000*s8c + 14336000*s8d + 18816000*li5half*ln2*z2 + 
    18816000*li4half*ln2^2*z2 + 627200*ln2^6*z2 - 34944000*s6*z2 + 
    7257600*li4half*z2^2 - 2833600*ln2^4*z2^2 - 2945600*ln2^2*z2^3 - 
    8121836*z2^4 - 39648000*li5half*z3 - 32928000*li4half*ln2*z3 - 
    1041600*ln2^5*z3 + 13160000*ln2^3*z2*z3 + 13053600*ln2*z2^2*z3 - 
    8624000*ln2^2*z3^2 + 8596000*z2*z3^2 + 75656000*ln2*z2*z5 + 
    34212500*z3*z5 - 109835250*ln2*z7)/3136000, 
 H[0, -1, -1, 0, -1, 0, 0, 1, 1] -> 
  (-358225*s8a - 1176000*s6*z2 + 119484*z2^4 + 1363250*z2*z3^2 + 
    2278500*ln2*z2*z5 - 3630375*z3*z5)/224000, 
 H[0, -1, -1, 0, -1, 0, 0, 0, 1] -> 
  (164850*s8a - 393629*z2^4 - 84000*z2*z3^2 + 2294250*z3*z5)/168000, 
 H[0, -1, -1, 0, -1, 0, 0, -1, 1] -> 
  (-42000*s8a - 716800*s8b - 125782*z2^4 - 16100*z2*z3^2 + 580125*z3*z5 + 
    1422400*ln2*z7)/44800, H[0, -1, -1, 0, -1, 0, -1, 1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    102816000*ln2^2*s6 + 65156175*s8a + 49896000*s8b + 205632000*s8c - 
    205632000*s8d + 508032000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 499464000*s6*z2 - 
    91929600*li4half*z2^2 - 302400*ln2^4*z2^2 + 17841600*ln2^2*z2^3 + 
    59177988*z2^4 + 16128000*li5half*z3 - 134400*ln2^5*z3 + 
    1344000*ln2^3*z2*z3 - 89535600*ln2*z2^2*z3 - 99918000*ln2^2*z3^2 - 
    64480500*z2*z3^2 - 747211500*ln2*z2*z5 - 467286750*z3*z5)/28224000, 
 H[0, -1, -1, 0, -1, 0, -1, 0, 1] -> 
  (329525*s8a - 271681*z2^4 - 603750*z2*z3^2 + 2471000*z3*z5)/112000, 
 H[0, -1, -1, 0, -1, 0, -1, -1, 1] -> 
  (15456000*ln2^2*s6 - 30912000*ln2*s7a - 30912000*ln2*s7b + 40604550*s8a - 
    122136000*s8b + 30912000*s8c - 30912000*s8d + 61824000*s6*z2 - 
    6182400*li4half*z2^2 - 257600*ln2^4*z2^2 - 4636800*ln2^2*z2^3 - 
    23396832*z2^4 + 61824000*li5half*z3 - 515200*ln2^5*z3 + 
    5152000*ln2^3*z2*z3 + 15262800*ln2*z2^2*z3 - 19320000*ln2^2*z3^2 - 
    60375000*z2*z3^2 - 1932000*ln2*z2*z5 + 183605625*z3*z5 + 26704125*ln2*z7)/
   9408000, H[0, -1, -1, 0, -1, -1, 1, 1, 1] -> 
  (-211680000*li4half^2 - 17640000*li4half*ln2^4 - 367500*ln2^8 + 
    123984000*ln2^2*s6 - 300661200*s8a - 833112000*s8b - 247968000*s8c + 
    43344000*s8d - 112896000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 + 1078000*ln2^6*z2 + 103824000*s6*z2 + 
    93340800*li4half*z2^2 + 3595200*ln2^4*z2^2 - 87116400*ln2^2*z2^3 - 
    12535812*z2^4 + 371952000*li5half*z3 - 3099600*ln2^5*z3 + 
    30996000*ln2^3*z2*z3 + 274314600*ln2*z2^2*z3 + 34870500*ln2^2*z3^2 + 
    180022500*z2*z3^2 + 34177500*ln2^3*z5 + 702891000*ln2*z2*z5 - 
    473862375*z3*z5)/28224000, H[0, -1, -1, 0, -1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    19488000*ln2^2*s6 + 44899050*s8a + 3024000*s8b + 38976000*s8c - 
    38976000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    79128000*s6*z2 - 15792000*li4half*z2^2 + 2870000*ln2^4*z2^2 - 
    1562400*ln2^2*z2^3 + 7540748*z2^4 - 58464000*li5half*z3 + 
    487200*ln2^5*z3 - 4872000*ln2^3*z2*z3 - 43117200*ln2*z2^2*z3 - 
    5481000*ln2^2*z3^2 - 36398250*z2*z3^2 - 82750500*ln2*z2*z5 + 
    96497625*z3*z5)/9408000, H[0, -1, -1, 0, -1, -1, 1, -1, 1] -> 
  (-2688000*ln2^2*s6 - 48384000*ln2*s7a - 34272000*ln2*s7b + 146303850*s8a + 
    566160000*s8b + 102144000*s8c + 24864000*s8d + 112896000*li6half*z2 + 
    169344000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 2273600*ln2^6*z2 - 
    70896000*s6*z2 + 24729600*li4half*z2^2 - 8377600*ln2^4*z2^2 + 
    24276000*ln2^2*z2^3 - 15679704*z2^4 - 153216000*li5half*z3 - 
    148176000*li4half*ln2*z3 - 4897200*ln2^5*z3 + 24276000*ln2^3*z2*z3 - 
    47577600*ln2*z2^2*z3 - 74844000*ln2^2*z3^2 - 148564500*z2*z3^2 - 
    36456000*ln2^3*z5 - 307188000*ln2*z2*z5 + 311482500*z3*z5 - 
    406342125*ln2*z7)/18816000, H[0, -1, -1, 0, -1, -1, 0, 1, 1] -> 
  (1319150*s8a - 4200000*s6*z2 - 1014796*z2^4 + 1776250*z2*z3^2 + 
    8137500*ln2*z2*z5 - 774375*z3*z5)/448000, 
 H[0, -1, -1, 0, -1, -1, 0, 0, 1] -> 
  (-282675*s8a + 61192*z2^4 + 66000*z2*z3^2 - 248250*z3*z5)/96000, 
 H[0, -1, -1, 0, -1, -1, 0, -1, 1] -> 
  (-25515*s8a - 147840*s8b - 33600*s6*z2 - 18044*z2^4 + 49630*z2*z3^2 + 
    65100*ln2*z2*z5 - 31605*z3*z5 + 293370*ln2*z7)/17920, 
 H[0, -1, -1, 0, -1, -1, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    207648000*ln2^2*s6 - 227557575*s8a - 2081016000*s8b - 203616000*s8c - 
    318528000*s8d + 733824000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 1215200*ln2^6*z2 + 855792000*s6*z2 - 
    89107200*li4half*z2^2 + 2167200*ln2^4*z2^2 - 117381600*ln2^2*z2^3 - 
    123621552*z2^4 + 256032000*li5half*z3 - 2133600*ln2^5*z3 + 
    33684000*ln2^3*z2*z3 + 222780600*ln2*z2^2*z3 - 21861000*ln2^2*z3^2 + 
    333963000*z2*z3^2 - 68355000*ln2^3*z5 + 1118880000*ln2*z2*z5 - 
    773285625*z3*z5)/56448000, H[0, -1, -1, 0, -1, -1, -1, 0, 1] -> 
  (-91425*s8a + 72000*s6*z2 + 13772*z2^4 - 70350*z2*z3^2 - 139500*ln2*z2*z5 + 
    168150*z3*z5)/38400, H[0, -1, -1, 0, -1, -1, -1, -1, 1] -> 
  (17472000*ln2^2*s6 - 34944000*ln2*s7a + 35616000*ln2*s7b - 58556925*s8a - 
    515256000*s8b - 35616000*s8c - 34944000*s8d + 105168000*s6*z2 - 
    6988800*li4half*z2^2 - 291200*ln2^4*z2^2 - 5241600*ln2^2*z2^3 - 
    38889168*z2^4 + 69888000*li5half*z3 - 582400*ln2^5*z3 + 
    5824000*ln2^3*z2*z3 + 35334600*ln2*z2^2*z3 - 21840000*ln2^2*z3^2 + 
    40456500*z2*z3^2 - 45570000*ln2^3*z5 + 21000*ln2*z2*z5 + 67543875*z3*z5 + 
    639757125*ln2*z7)/18816000, H[0, -1, -1, -1, 1, 1, 1, 1, 1] -> 
  (1008000*li8half + 25*ln2^8 + 105525*s8a + 1108800*s8b + 201600*s8d + 
    40320*li6half*z2 + 196*ln2^6*z2 - 493920*s6*z2 + 56448*li4half*z2^2 - 
    4368*ln2^4*z2^2 - 41400*ln2^2*z2^3 - 127908*z2^4 - 357840*li5half*z3 + 
    2688*ln2^5*z3 + 3360*ln2^3*z2*z3 - 46368*ln2*z2^2*z3 - 32760*z2*z3^2 + 
    120960*ln2*z2*z5 + 41265*z3*z5)/40320, H[0, -1, -1, -1, 1, 1, 1, 0, 1] -> 
  (28224000*li4half^2 - 1354752000*li8half + 2352000*li4half*ln2^4 + 
    15400*ln2^8 - 93744000*ln2^2*s6 + 104411475*s8a - 650664000*s8b + 
    187488000*s8c - 258048000*s8d + 169344000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 593712000*s6*z2 - 
    109468800*li4half*z2^2 - 6148800*ln2^4*z2^2 + 62596800*ln2^2*z2^3 + 
    144886176*z2^4 + 325584000*li5half*z3 + 49392000*li4half*ln2*z3 - 
    655200*ln2^5*z3 - 3444000*ln2^3*z2*z3 - 205644600*ln2*z2^2*z3 - 
    1669500*ln2^2*z3^2 - 180085500*z2*z3^2 - 562464000*ln2*z2*z5 + 
    426643875*z3*z5)/56448000, H[0, -1, -1, -1, 1, 1, 1, -1, 1] -> 
  (18816000*li4half^2 - 564480000*li8half - 18816000*li7half*ln2 + 
    1568000*li4half*ln2^4 + 22400*ln2^8 + 53424000*ln2^2*s6 + 
    6048000*ln2*s7a + 53088000*ln2*s7b - 169154475*s8a - 1215480000*s8b - 
    118944000*s8c - 125664000*s8d - 28224000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 4704000*li4half*ln2^2*z2 - 196000*ln2^6*z2 + 
    345408000*s6*z2 - 41126400*li4half*z2^2 + 1657600*ln2^4*z2^2 + 
    12364800*ln2^2*z2^3 + 35358024*z2^4 + 227808000*li5half*z3 + 
    32928000*li4half*ln2*z3 - 389200*ln2^5*z3 - 8848000*ln2^3*z2*z3 + 
    86507400*ln2*z2^2*z3 + 31489500*ln2^2*z3^2 + 124782000*z2*z3^2 - 
    45570000*ln2^3*z5 + 143850000*ln2*z2*z5 - 64929375*z3*z5 + 
    480650625*ln2*z7)/18816000, H[0, -1, -1, -1, 1, 1, 0, 1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 - 
    3024000*ln2^2*s6 + 22613850*s8a + 444024000*s8b + 6048000*s8c + 
    85680000*s8d - 239904000*li6half*z2 - 42336000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1783600*ln2^6*z2 - 361872000*s6*z2 + 
    21369600*li4half*z2^2 - 9546600*ln2^4*z2^2 + 19782000*ln2^2*z2^3 + 
    22689756*z2^4 - 139608000*li5half*z3 - 74088000*li4half*ln2*z3 - 
    1923600*ln2^5*z3 + 23058000*ln2^3*z2*z3 + 11566800*ln2*z2^2*z3 - 
    36351000*ln2^2*z3^2 + 35154000*z2*z3^2 - 38650500*ln2*z2*z5 + 
    45745875*z3*z5)/28224000, H[0, -1, -1, -1, 1, 1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    16632000*ln2^2*s6 - 92348550*s8a - 605808000*s8b - 33264000*s8c - 
    100800000*s8d - 42336000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 
    352800*ln2^6*z2 + 258048000*s6*z2 - 18043200*li4half*z2^2 + 
    4981200*ln2^4*z2^2 - 8341200*ln2^2*z2^3 + 27739422*z2^4 + 
    88704000*li5half*z3 + 24696000*li4half*ln2*z3 + 289800*ln2^5*z3 - 
    2310000*ln2^3*z2*z3 + 75121200*ln2*z2^2*z3 + 10851750*ln2^2*z3^2 + 
    53833500*z2*z3^2 + 99792000*ln2*z2*z5 - 167509125*z3*z5)/14112000, 
 H[0, -1, -1, -1, 1, 1, 0, -1, 1] -> 
  (-112896000*li4half^2 - 6773760000*li8half - 1354752000*li7half*ln2 - 
    9408000*li4half*ln2^4 - 95200*ln2^8 + 621936000*ln2^2*s6 - 
    258048000*ln2*s7a - 187488000*ln2*s7b - 1434174525*s8a - 
    10619784000*s8b - 727776000*s8c - 1163232000*s8d - 225792000*li6half*z2 + 
    56448000*li4half*ln2^2*z2 + 1097600*ln2^6*z2 + 3236688000*s6*z2 - 
    132451200*li4half*z2^2 + 16119600*ln2^4*z2^2 - 25099200*ln2^2*z2^3 + 
    616025016*z2^4 + 2305296000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    27442800*ln2^5*z3 + 246204000*ln2^3*z2*z3 + 1429659000*ln2*z2^2*z3 - 
    235651500*ln2^2*z3^2 + 978453000*z2*z3^2 - 68355000*ln2^3*z5 + 
    2731869000*ln2*z2*z5 - 1181998125*z3*z5 - 648041625*ln2*z7)/56448000, 
 H[0, -1, -1, -1, 1, 1, -1, 1, 1] -> 
  (-33868800*li4half^2 - 135475200*li8half - 5644800*li6half*ln2^2 - 
    2822400*li4half*ln2^4 - 70000*ln2^8 + 31852800*ln2^2*s6 - 84424725*s8a - 
    382536000*s8b - 60883200*s8c - 20966400*s8d + 11289600*li6half*z2 - 
    16934400*li5half*ln2*z2 + 274400*ln2^6*z2 + 101203200*s6*z2 + 
    19232640*li4half*z2^2 + 2224320*ln2^4*z2^2 - 12892320*ln2^2*z2^3 + 
    4663296*z2^4 + 64512000*li5half*z3 - 29635200*li4half*ln2*z3 - 
    1690080*ln2^5*z3 + 8433600*ln2^3*z2*z3 + 70491960*ln2*z2^2*z3 + 
    4328100*ln2^2*z3^2 + 60965100*z2*z3^2 + 173653200*ln2*z2*z5 - 
    103768875*z3*z5)/11289600, H[0, -1, -1, -1, 1, 1, -1, 0, 1] -> 
  (84672000*li4half^2 + 564480000*li8half + 7056000*li4half*ln2^4 + 
    161000*ln2^8 - 2016000*ln2^2*s6 + 42506100*s8a + 446544000*s8b + 
    4032000*s8c + 52416000*s8d - 141120000*li6half*z2 - 
    42336000*li4half*ln2^2*z2 - 2352000*ln2^6*z2 - 203616000*s6*z2 - 
    35380800*li4half*z2^2 + 8227800*ln2^4*z2^2 + 1940400*ln2^2*z2^3 - 
    24874884*z2^4 - 161280000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    3402000*ln2^5*z3 - 35196000*ln2^3*z2*z3 - 33390000*ln2*z2^2*z3 + 
    19498500*ln2^2*z3^2 + 8993250*z2*z3^2 - 12096000*ln2*z2*z5 - 
    6969375*z3*z5)/28224000, H[0, -1, -1, -1, 1, 1, -1, -1, 1] -> 
  (-56448000*li4half^2 + 1636992000*li8half + 169344000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 4704000*li4half*ln2^4 - 51800*ln2^8 - 
    323568000*ln2^2*s6 - 18144000*ln2*s7a - 187488000*ln2*s7b + 
    834186150*s8a + 4942224000*s8b + 669312000*s8c + 360864000*s8d - 
    28224000*li6half*z2 + 70560000*li4half*ln2^2*z2 + 2469600*ln2^6*z2 - 
    1229760000*s6*z2 + 121564800*li4half*z2^2 - 17337600*ln2^4*z2^2 + 
    48938400*ln2^2*z2^3 - 24739416*z2^4 - 714672000*li5half*z3 - 
    148176000*li4half*ln2*z3 - 630000*ln2^5*z3 + 22176000*ln2^3*z2*z3 - 
    491778000*ln2*z2^2*z3 - 160461000*ln2^2*z3^2 - 656554500*z2*z3^2 + 
    164052000*ln2^3*z5 - 1451898000*ln2*z2*z5 + 498487500*z3*z5 - 
    1708426125*ln2*z7)/56448000, H[0, -1, -1, -1, 1, 0, 1, 1, 1] -> 
  (-52617600*ln2^2*s6 + 76285125*s8a + 222667200*s8b + 105235200*s8c - 
    65721600*s8d + 95961600*li6half*z2 + 33868800*li5half*ln2*z2 - 
    16934400*li4half*ln2^2*z2 - 854560*ln2^6*z2 + 169545600*s6*z2 - 
    17660160*li4half*z2^2 + 4320960*ln2^4*z2^2 + 8729280*ln2^2*z2^3 + 
    30641544*z2^4 + 60883200*li5half*z3 + 29635200*li4half*ln2*z3 + 
    727440*ln2^5*z3 - 24914400*ln2^3*z2*z3 - 83994120*ln2*z2^2*z3 - 
    1215900*ln2^2*z3^2 - 125540100*z2*z3^2 - 422339400*ln2*z2*z5 + 
    41316975*z3*z5)/11289600, H[0, -1, -1, -1, 1, 0, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    10080000*ln2^2*s6 - 10806075*s8a - 9072000*s8b - 20160000*s8c + 
    20160000*s8d + 4032000*li6half*z2 + 4032000*li4half*ln2^2*z2 + 
    173600*ln2^6*z2 - 36792000*s6*z2 + 8920800*li4half*z2^2 - 
    216300*ln2^4*z2^2 - 1827000*ln2^2*z2^3 - 10166442*z2^4 - 
    9072000*li5half*z3 - 7056000*li4half*ln2*z3 - 218400*ln2^5*z3 + 
    2016000*ln2^3*z2*z3 + 18792900*ln2*z2^2*z3 + 1071000*ln2^2*z3^2 + 
    15379875*z2*z3^2 + 60480000*ln2*z2*z5 - 4591125*z3*z5)/2016000, 
 H[0, -1, -1, -1, 1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 - 
    9408000*li4half*ln2^4 - 330400*ln2^8 - 884016000*ln2^2*s6 + 
    183456000*ln2*s7a - 211680000*ln2*s7b + 2332387575*s8a + 
    16763544000*s8b + 1401120000*s8c + 1731744000*s8d + 
    790272000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 3292800*ln2^6*z2 - 4677120000*s6*z2 + 
    416908800*li4half*z2^2 - 41664000*ln2^4*z2^2 - 79430400*ln2^2*z2^3 - 
    757264248*z2^4 - 3195360000*li5half*z3 - 49392000*li4half*ln2*z3 + 
    24570000*ln2^5*z3 - 91644000*ln2^3*z2*z3 - 1783366200*ln2*z2^2*z3 + 
    7591500*ln2^2*z3^2 - 1706607000*z2*z3^2 + 382788000*ln2^3*z5 - 
    3077046000*ln2*z2*z5 + 1229704875*z3*z5 - 3353860125*ln2*z7)/56448000, 
 H[0, -1, -1, -1, 1, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    27720000*ln2^2*s6 - 65611350*s8a - 376992000*s8b - 55440000*s8c - 
    15120000*s8d - 56448000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 19600*ln2^6*z2 + 33768000*s6*z2 + 
    12852000*li4half*z2^2 + 1711500*ln2^4*z2^2 - 16783200*ln2^2*z2^3 - 
    10202106*z2^4 + 97272000*li5half*z3 - 810600*ln2^5*z3 + 
    10752000*ln2^3*z2*z3 + 68210100*ln2*z2^2*z3 + 3165750*ln2^2*z3^2 + 
    90806625*z2*z3^2 + 330372000*ln2*z2*z5 - 168068250*z3*z5)/14112000, 
 H[0, -1, -1, -1, 1, 0, 0, 0, 1] -> 
  (-3360000*ln2^2*s6 + 16552725*s8a + 116256000*s8b + 6720000*s8c + 
    12096000*s8d - 39480000*s6*z2 + 18412800*li4half*z2^2 + 
    767200*ln2^4*z2^2 - 3637200*ln2^2*z2^3 - 8891844*z2^4 - 
    10080000*li5half*z3 + 84000*ln2^5*z3 - 840000*ln2^3*z2*z3 - 
    8874600*ln2*z2^2*z3 - 945000*ln2^2*z3^2 - 11140500*z2*z3^2 - 
    20160000*ln2*z2*z5 + 30591750*z3*z5)/4704000, 
 H[0, -1, -1, -1, 1, 0, 0, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    11813760*ln2^2*s6 - 5725440*ln2*s7a + 1048320*ln2*s7b - 16128630*s8a - 
    89490240*s8b - 12176640*s8c - 9273600*s8d - 2257920*li6half*z2 + 
    2822400*li4half*ln2^2*z2 + 114464*ln2^6*z2 + 26732160*s6*z2 + 
    2745792*li4half*z2^2 - 191352*ln2^4*z2^2 - 5028912*ln2^2*z2^3 - 
    2018244*z2^4 + 19111680*li5half*z3 - 9878400*li4half*ln2*z3 - 
    570864*ln2^5*z3 + 3850560*ln2^3*z2*z3 + 16792272*ln2*z2^2*z3 - 
    5074020*ln2^2*z3^2 + 12858930*z2*z3^2 - 6562080*ln2^3*z5 + 
    33238800*ln2*z2*z5 - 22947750*z3*z5 + 20849535*ln2*z7)/1128960, 
 H[0, -1, -1, -1, 1, 0, -1, 1, 1] -> 
  (4838400*li4half^2 - 129024000*li8half + 6451200*li6half*ln2^2 + 
    403200*li4half*ln2^4 + 14160*ln2^8 + 8467200*ln2^2*s6 - 32292225*s8a - 
    246254400*s8b - 18950400*s8c - 26208000*s8d - 33868800*li6half*z2 - 
    4838400*li5half*ln2*z2 - 1209600*li4half*ln2^2*z2 - 101920*ln2^6*z2 + 
    55843200*s6*z2 - 8547840*li4half*z2^2 + 960960*ln2^4*z2^2 + 
    5139360*ln2^2*z2^3 + 13847328*z2^4 + 55036800*li5half*z3 + 
    5644800*li4half*ln2*z3 - 223440*ln2^5*z3 + 1461600*ln2^3*z2*z3 + 
    28256760*ln2*z2^2*z3 + 2028600*ln2^2*z3^2 + 31229100*z2*z3^2 + 
    72084600*ln2*z2*z5 - 32304825*z3*z5)/1612800, 
 H[0, -1, -1, -1, 1, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    34272000*ln2^2*s6 + 25122825*s8a + 681912000*s8b - 68544000*s8c + 
    181440000*s8d + 169344000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 
    1411200*ln2^6*z2 - 447552000*s6*z2 + 92030400*li4half*z2^2 - 
    3221400*ln2^4*z2^2 - 32331600*ln2^2*z2^3 - 98945808*z2^4 - 
    137088000*li5half*z3 - 98784000*li4half*ln2*z3 - 2973600*ln2^5*z3 + 
    23856000*ln2^3*z2*z3 + 39753000*ln2*z2^2*z3 - 8883000*ln2^2*z3^2 - 
    8237250*z2*z3^2 + 205632000*ln2*z2*z5 + 180825750*z3*z5)/28224000, 
 H[0, -1, -1, -1, 1, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 4515840000*li8half - 1806336000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 2352000*li4half*ln2^4 - 116200*ln2^8 + 
    1137024000*ln2^2*s6 - 385056000*ln2*s7a + 348768000*ln2*s7b - 
    1996118775*s8a - 12186216000*s8b - 1433376000*s8c - 1106784000*s8d + 
    112896000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 + 
    3314304000*s6*z2 - 198777600*li4half*z2^2 - 12398400*ln2^4*z2^2 - 
    335966400*ln2^2*z2^3 + 188355816*z2^4 + 2206512000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 20445600*ln2^5*z3 + 194460000*ln2^3*z2*z3 + 
    1519093800*ln2*z2^2*z3 - 214263000*ln2^2*z3^2 + 1575126000*z2*z3^2 - 
    710892000*ln2^3*z5 + 3252690000*ln2*z2*z5 - 1864004625*z3*z5 + 
    4356977625*ln2*z7)/56448000, H[0, -1, -1, -1, 1, -1, 1, 1, 1] -> 
  (84672000*li4half^2 - 282240000*li8half + 14112000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 22400*ln2^8 - 121968000*ln2^2*s6 + 
    197264025*s8a + 838152000*s8b + 243936000*s8c - 60480000*s8d - 
    197568000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 901600*ln2^6*z2 - 34272000*s6*z2 - 
    61488000*li4half*z2^2 + 1965600*ln2^4*z2^2 + 71467200*ln2^2*z2^3 + 
    137672424*z2^4 + 71568000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    2696400*ln2^5*z3 - 63126000*ln2^3*z2*z3 - 208731600*ln2*z2^2*z3 + 
    1197000*ln2^2*z3^2 - 236864250*z2*z3^2 + 4557000*ln2^3*z5 - 
    978327000*ln2*z2*z5 + 227256750*z3*z5)/28224000, 
 H[0, -1, -1, -1, 1, -1, 1, 0, 1] -> 
  (-112896000*li4half^2 + 2483712000*li8half - 9408000*li4half*ln2^4 - 
    134400*ln2^8 - 47376000*ln2^2*s6 + 263558925*s8a + 2238264000*s8b + 
    94752000*s8c + 328608000*s8d - 254016000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 - 431200*ln2^6*z2 - 
    868896000*s6*z2 + 84067200*li4half*z2^2 - 3435600*ln2^4*z2^2 - 
    8064000*ln2^2*z2^3 - 187821432*z2^4 - 650160000*li5half*z3 + 
    5418000*ln2^5*z3 - 35952000*ln2^3*z2*z3 - 125281800*ln2*z2^2*z3 - 
    38020500*ln2^2*z3^2 - 73930500*z2*z3^2 - 256914000*ln2*z2*z5 - 
    66016125*z3*z5)/56448000, H[0, -1, -1, -1, 1, -1, 1, -1, 1] -> 
  (-282240000*li8half - 169344000*li7half*ln2 - 28224000*li5half*ln2^3 + 
    261800*ln2^8 + 129024000*ln2^2*s6 - 36288000*ln2*s7a - 78624000*ln2*s7b - 
    294783300*s8a - 1299312000*s8b - 185472000*s8c - 96768000*s8d - 
    282240000*li6half*z2 - 254016000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 1607200*ln2^6*z2 + 292320000*s6*z2 - 
    39110400*li4half*z2^2 - 1512000*ln2^4*z2^2 - 59320800*ln2^2*z2^3 + 
    103246272*z2^4 + 376992000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    2620800*ln2^5*z3 + 86688000*ln2^3*z2*z3 + 285994800*ln2*z2^2*z3 - 
    25452000*ln2^2*z3^2 + 288603000*z2*z3^2 + 31899000*ln2^3*z5 + 
    1154727000*ln2*z2*z5 - 761071500*z3*z5 - 954914625*ln2*z7)/56448000, 
 H[0, -1, -1, -1, 1, -1, 0, 1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    90720000*ln2^2*s6 - 170967825*s8a - 1223208000*s8b - 181440000*s8c - 
    58464000*s8d + 620928000*li6half*z2 + 127008000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 98000*ln2^6*z2 + 469728000*s6*z2 + 
    80035200*li4half*z2^2 + 6274800*ln2^4*z2^2 - 99716400*ln2^2*z2^3 - 
    160713612*z2^4 + 56952000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    4590600*ln2^5*z3 + 56490000*ln2^3*z2*z3 + 184401000*ln2*z2^2*z3 - 
    14616000*ln2^2*z3^2 + 144459000*z2*z3^2 + 879259500*ln2*z2*z5 - 
    214475625*z3*z5)/28224000, H[0, -1, -1, -1, 1, -1, 0, 0, 1] -> 
  (-53424000*ln2^2*s6 + 207279450*s8a + 1683360000*s8b + 106848000*s8c + 
    231840000*s8d + 56448000*li6half*z2 + 78400*ln2^6*z2 - 664776000*s6*z2 + 
    175492800*li4half*z2^2 - 4447800*ln2^4*z2^2 - 3729600*ln2^2*z2^3 - 
    75002688*z2^4 - 139104000*li5half*z3 + 1159200*ln2^5*z3 - 
    16884000*ln2^3*z2*z3 - 128872800*ln2*z2^2*z3 - 5764500*ln2^2*z3^2 - 
    186858000*z2*z3^2 - 320544000*ln2*z2*z5 + 285445125*z3*z5)/28224000, 
 H[0, -1, -1, -1, 1, -1, 0, -1, 1] -> 
  (-479808000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 - 
    39984000*li4half*ln2^4 - 967400*ln2^8 - 655200000*ln2^2*s6 - 
    86688000*ln2*s7a - 312480000*ln2*s7b + 2302259400*s8a + 15114960000*s8b + 
    1483776000*s8c + 1310400000*s8d + 536256000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 239904000*li4half*ln2^2*z2 + 
    11289600*ln2^6*z2 - 3933216000*s6*z2 + 651571200*li4half*z2^2 - 
    38942400*ln2^4*z2^2 - 138448800*ln2^2*z2^3 - 814912416*z2^4 - 
    2634912000*li5half*z3 - 839664000*li4half*ln2*z3 - 13028400*ln2^5*z3 - 
    2016000*ln2^3*z2*z3 - 1393005600*ln2*z2^2*z3 - 323190000*ln2^2*z3^2 - 
    1739493000*z2*z3^2 + 218736000*ln2^3*z5 - 3499020000*ln2*z2*z5 + 
    1383102000*z3*z5 - 2563556625*ln2*z7)/56448000, 
 H[0, -1, -1, -1, 1, -1, -1, 1, 1] -> 
  (28224000*li4half^2 - 931392000*li8half + 42336000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 202300*ln2^8 + 
    51912000*ln2^2*s6 - 242034975*s8a - 2306304000*s8b - 167328000*s8c - 
    241920000*s8d + 112896000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 - 1254400*ln2^6*z2 + 667296000*s6*z2 - 
    61084800*li4half*z2^2 + 11155200*ln2^4*z2^2 + 31147200*ln2^2*z2^3 + 
    15137784*z2^4 + 300384000*li5half*z3 - 2709000*ln2^5*z3 + 
    33264000*ln2^3*z2*z3 + 213507000*ln2*z2^2*z3 + 12285000*ln2^2*z3^2 + 
    245999250*z2*z3^2 - 4557000*ln2^3*z5 + 756000000*ln2*z2*z5 - 
    133056000*z3*z5)/28224000, H[0, -1, -1, -1, 1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2257920000*li8half - 2352000*li4half*ln2^4 - 
    105000*ln2^8 + 222768000*ln2^2*s6 - 514358775*s8a - 1651608000*s8b - 
    445536000*s8c + 135072000*s8d + 366912000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 3371200*ln2^6*z2 - 
    178416000*s6*z2 + 63705600*li4half*z2^2 - 2049600*ln2^4*z2^2 - 
    30542400*ln2^2*z2^3 - 8720784*z2^4 + 625968000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 7274400*ln2^5*z3 + 58632000*ln2^3*z2*z3 + 
    488287800*ln2*z2^2*z3 + 65740500*ln2^2*z3^2 + 323568000*z2*z3^2 + 
    1309266000*ln2*z2*z5 - 219956625*z3*z5)/56448000, 
 H[0, -1, -1, -1, 1, -1, -1, -1, 1] -> 
  (-56448000*li4half^2 + 2032128000*li8half + 56448000*li7half*ln2 - 
    84672000*li6half*ln2^2 + 28224000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    411600*ln2^8 + 156240000*ln2^2*s6 - 104832000*ln2*s7a + 
    106848000*ln2*s7b + 110388600*s8a + 1324512000*s8b + 24192000*s8c + 
    116928000*s8d + 564480000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 
    2548000*ln2^6*z2 - 304416000*s6*z2 + 68544000*li4half*z2^2 - 
    23251200*ln2^4*z2^2 - 211125600*ln2^2*z2^3 - 311842224*z2^4 - 
    233856000*li5half*z3 - 98784000*li4half*ln2*z3 - 1755600*ln2^5*z3 + 
    1092000*ln2^3*z2*z3 - 98229600*ln2*z2^2*z3 - 133560000*ln2^2*z3^2 - 
    50778000*z2*z3^2 - 195951000*ln2^3*z5 - 393057000*ln2*z2*z5 - 
    259119000*z3*z5 + 1919271375*ln2*z7)/56448000, 
 H[0, -1, -1, -1, 0, 1, 1, 1, 1] -> 
  (-403200*li4half^2 - 33600*li4half*ln2^4 - 700*ln2^8 + 
    201600*li4half*ln2^2*z2 + 8400*ln2^6*z2 - 120960*li4half*z2^2 - 
    30240*ln2^4*z2^2 + 30240*ln2^2*z2^3 + 31608*z2^4 + 352800*li5half*z3 - 
    352800*li4half*ln2*z3 - 17640*ln2^5*z3 + 117600*ln2^3*z2*z3 - 
    105840*ln2*z2^2*z3 - 154350*ln2^2*z3^2 + 77175*z2*z3^2 - 44100*z3*z5)/
   403200, H[0, -1, -1, -1, 0, 1, 1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 381150*s8a - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 1360800*li4half*z2^2 + 
    308700*ln2^4*z2^2 - 340200*ln2^2*z2^3 - 108774*z2^4 - 
    7056000*li5half*z3 + 58800*ln2^5*z3 - 588000*ln2^3*z2*z3 + 
    1190700*ln2*z2^2*z3 + 228375*z2*z3^2 + 803250*z3*z5)/2016000, 
 H[0, -1, -1, -1, 0, 1, 1, -1, 1] -> 
  (-45360000*ln2^2*s6 - 12768000*ln2*s7a - 59808000*ln2*s7b + 126587475*s8a + 
    536760000*s8b + 116256000*s8c + 24864000*s8d + 28224000*li5half*ln2*z2 - 
    235200*ln2^6*z2 - 113232000*s6*z2 + 13440000*li4half*z2^2 + 
    2912000*ln2^4*z2^2 + 24712800*ln2^2*z2^3 + 12870216*z2^4 - 
    75600000*li5half*z3 - 49392000*li4half*ln2*z3 - 1428000*ln2^5*z3 - 
    6300000*ln2^3*z2*z3 - 41441400*ln2*z2^2*z3 - 32308500*ln2^2*z3^2 - 
    112402500*z2*z3^2 + 45570000*ln2^3*z5 - 175140000*ln2*z2*z5 + 
    158473875*z3*z5 - 431521125*ln2*z7)/18816000, 
 H[0, -1, -1, -1, 0, 1, 0, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 579600*s8a - 
    12096000*li6half*z2 - 12096000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 - 84000*ln2^6*z2 - 3024000*s6*z2 - 
    957600*li4half*z2^2 + 464100*ln2^4*z2^2 + 239400*ln2^2*z2^3 + 
    1810566*z2^4 + 14112000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    176400*ln2^5*z3 - 2352000*ln2^3*z2*z3 - 837900*ln2*z2^2*z3 + 
    3087000*ln2^2*z3^2 - 543375*z2*z3^2 + 5859000*ln2*z2*z5 - 3709125*z3*z5)/
   2016000, H[0, -1, -1, -1, 0, 1, 0, 0, 1] -> 
  (27675*s8a - 165600*li4half*z2^2 - 6900*ln2^4*z2^2 + 41400*ln2^2*z2^3 + 
    41503*z2^4 - 144900*ln2*z2^2*z3 + 49125*z2*z3^2 + 21000*z3*z5)/48000, 
 H[0, -1, -1, -1, 0, 1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 4143825*s8a - 
    1176000*s8b - 8064000*s8c + 8064000*s8d - 4032000*li4half*ln2^2*z2 - 
    168000*ln2^6*z2 - 16128000*s6*z2 - 5342400*li4half*z2^2 + 
    281400*ln2^4*z2^2 + 2948400*ln2^2*z2^3 - 2730192*z2^4 - 
    16128000*li5half*z3 + 14112000*li4half*ln2*z3 + 722400*ln2^5*z3 - 
    4872000*ln2^3*z2*z3 - 10067400*ln2*z2^2*z3 + 11214000*ln2^2*z3^2 + 
    5769750*z2*z3^2 + 504000*ln2*z2*z5 + 16015125*z3*z5 + 58592625*ln2*z7)/
   1344000, H[0, -1, -1, -1, 0, 1, -1, 1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    234864000*ln2^2*s6 - 355825575*s8a - 1367352000*s8b - 328608000*s8c - 
    94752000*s8d + 592704000*li6half*z2 + 254016000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 + 662256000*s6*z2 - 
    92332800*li4half*z2^2 - 19723200*ln2^4*z2^2 - 132703200*ln2^2*z2^3 - 
    75585672*z2^4 - 50400000*li5half*z3 + 420000*ln2^5*z3 + 
    82236000*ln2^3*z2*z3 + 170893800*ln2*z2^2*z3 + 52164000*ln2^2*z3^2 + 
    162886500*z2*z3^2 + 545265000*ln2*z2*z5 - 186960375*z3*z5)/56448000, 
 H[0, -1, -1, -1, 0, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    12096000*ln2^2*s6 + 14123025*s8a - 23688000*s8b + 24192000*s8c - 
    24192000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 
    60480000*s6*z2 - 6148800*li4half*z2^2 - 760200*ln2^4*z2^2 + 
    932400*ln2^2*z2^3 + 11228544*z2^4 + 48384000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 184800*ln2^5*z3 + 504000*ln2^3*z2*z3 - 
    10445400*ln2*z2^2*z3 - 3402000*ln2^2*z3^2 - 18726750*z2*z3^2 - 
    72576000*ln2*z2*z5 - 30145500*z3*z5)/4032000, 
 H[0, -1, -1, -1, 0, 1, -1, -1, 1] -> 
  (3951360*li4half^2 + 329280*li4half*ln2^4 + 6860*ln2^8 - 3386880*ln2^2*s6 + 
    1612800*ln2*s7a + 4435200*ln2*s7b + 803250*s8a - 5281920*s8b + 
    725760*s8c - 725760*s8d - 3669120*li4half*ln2^2*z2 - 152880*ln2^6*z2 + 
    4979520*s6*z2 - 3475584*li4half*z2^2 + 525504*ln2^4*z2^2 + 
    2420208*ln2^2*z2^3 + 533052*z2^4 + 887040*li5half*z3 + 
    8890560*li4half*ln2*z3 + 363048*ln2^5*z3 - 3630480*ln2^3*z2*z3 - 
    5288472*ln2*z2^2*z3 + 3091410*ln2^2*z3^2 - 2436210*z2*z3^2 - 
    2734200*ln2^3*z5 - 15293880*ln2*z2*z5 + 5815845*z3*z5 + 24377535*ln2*z7)/
   1128960, H[0, -1, -1, -1, 0, 0, 1, 1, 1] -> 
  (806400*li4half^2 + 67200*li4half*ln2^4 + 1400*ln2^8 + 1209600*li6half*z2 + 
    1209600*li5half*ln2*z2 + 201600*li4half*ln2^2*z2 + 302400*s6*z2 - 
    295680*li4half*z2^2 - 37520*ln2^4*z2^2 + 73920*ln2^2*z2^3 - 109048*z2^4 - 
    1646400*li5half*z3 - 235200*li4half*ln2*z3 + 3920*ln2^5*z3 + 
    98000*ln2^3*z2*z3 - 258720*ln2*z2^2*z3 - 102900*ln2^2*z3^2 + 
    109200*z2*z3^2 - 585900*ln2*z2*z5 + 566475*z3*z5)/134400, 
 H[0, -1, -1, -1, 0, 0, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 1620675*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 3225600*li4half*z2^2 - 
    369600*ln2^4*z2^2 - 806400*ln2^2*z2^3 - 798888*z2^4 + 
    14112000*li5half*z3 - 117600*ln2^5*z3 + 1176000*ln2^3*z2*z3 + 
    2822400*ln2*z2^2*z3 - 1716750*z2*z3^2 - 4937625*z3*z5)/2016000, 
 H[0, -1, -1, -1, 0, 0, 1, -1, 1] -> 
  (-1128960*li4half^2 - 94080*li4half*ln2^4 - 1960*ln2^8 - 1128960*ln2^2*s6 + 
    403200*ln2*s7a + 403200*ln2*s7b + 406980*s8a - 2237760*s8b + 
    1451520*s8c - 1451520*s8d - 3386880*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 - 89376*ln2^6*z2 + 3467520*s6*z2 + 
    358848*li4half*z2^2 + 508872*ln2^4*z2^2 - 55440*ln2^2*z2^3 + 
    177384*z2^4 + 4878720*li5half*z3 + 1975680*li4half*ln2*z3 + 
    41664*ln2^5*z3 - 1569120*ln2^3*z2*z3 - 134064*ln2*z2^2*z3 + 
    299880*ln2^2*z3^2 - 1803060*z2*z3^2 - 6914880*ln2*z2*z5 - 641340*z3*z5 + 
    12454155*ln2*z7)/1128960, H[0, -1, -1, -1, 0, 0, 0, 1, 1] -> 
  (67725*s8a + 216000*s6*z2 - 38400*li4half*z2^2 - 1600*ln2^4*z2^2 + 
    9600*ln2^2*z2^3 - 3284*z2^4 - 33600*ln2*z2^2*z3 - 223500*z2*z3^2 - 
    418500*ln2*z2*z5 + 592875*z3*z5)/96000, 
 H[0, -1, -1, -1, 0, 0, 0, 0, 1] -> 
  (-64575*s8a + 116628*z2^4 + 28000*z2*z3^2 - 672875*z3*z5)/112000, 
 H[0, -1, -1, -1, 0, 0, 0, -1, 1] -> 
  (373800*s8a + 4536000*s8b - 235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 
    58800*ln2^2*z2^3 + 848768*z2^4 - 205800*ln2*z2^2*z3 + 120750*z2*z3^2 - 
    3564750*z3*z5 - 9001125*ln2*z7)/672000, 
 H[0, -1, -1, -1, 0, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    23184000*ln2^2*s6 - 22142925*s8a - 65520000*s8b - 46368000*s8c + 
    46368000*s8d - 169344000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 - 117432000*s6*z2 + 
    14918400*li4half*z2^2 - 4670400*ln2^4*z2^2 - 2570400*ln2^2*z2^3 - 
    3459408*z2^4 + 6048000*li5half*z3 - 50400*ln2^5*z3 + 
    12852000*ln2^3*z2*z3 + 17514000*ln2*z2^2*z3 + 20412000*ln2^2*z3^2 + 
    32350500*z2*z3^2 + 194008500*ln2*z2*z5 + 79844625*z3*z5)/28224000, 
 H[0, -1, -1, -1, 0, 0, -1, 0, 1] -> 
  (-655725*s8a + 705600*li4half*z2^2 + 29400*ln2^4*z2^2 - 176400*ln2^2*z2^3 + 
    188764*z2^4 + 617400*ln2*z2^2*z3 + 719250*z2*z3^2 - 3562125*z3*z5)/
   672000, H[0, -1, -1, -1, 0, 0, -1, -1, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 - 907200*ln2^2*s6 + 
    1814400*ln2*s7a + 1814400*ln2*s7b - 2008125*s8a + 13204800*s8b - 
    1814400*s8c + 1814400*s8d + 1411200*li4half*ln2^2*z2 + 58800*ln2^6*z2 - 
    3628800*s6*z2 + 2479680*li4half*z2^2 - 73080*ln2^4*z2^2 - 
    257040*ln2^2*z2^3 + 1903722*z2^4 - 3628800*li5half*z3 - 
    4939200*li4half*ln2*z3 - 175560*ln2^5*z3 + 932400*ln2^3*z2*z3 + 
    956340*ln2*z2^2*z3 - 1026900*ln2^2*z3^2 + 3279150*z2*z3^2 + 
    113400*ln2*z2*z5 - 14137200*z3*z5 - 13545000*ln2*z7)/2822400, 
 H[0, -1, -1, -1, 0, -1, 1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    15926400*ln2^2*s6 + 39219075*s8a + 82958400*s8b + 31852800*s8c - 
    3628800*s8d + 16934400*li6half*z2 + 67737600*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 47040*ln2^6*z2 - 43545600*s6*z2 - 
    19353600*li4half*z2^2 - 2570400*ln2^4*z2^2 + 17619840*ln2^2*z2^3 - 
    2466216*z2^4 - 116928000*li5half*z3 - 19756800*li4half*ln2*z3 + 
    151200*ln2^5*z3 + 5073600*ln2^3*z2*z3 - 37459800*ln2*z2^2*z3 - 
    17444700*ln2^2*z3^2 + 7597800*z2*z3^2 - 9114000*ln2^3*z5 - 
    43608600*ln2*z2*z5 + 57104775*z3*z5)/11289600, 
 H[0, -1, -1, -1, 0, -1, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 4163775*s8a + 7896000*s8b - 8064000*s8c + 
    8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    18480000*s6*z2 + 4804800*li4half*z2^2 - 303800*ln2^4*z2^2 - 
    999600*ln2^2*z2^3 - 4155384*z2^4 + 2688000*li5half*z3 - 
    4704000*li4half*ln2*z3 - 218400*ln2^5*z3 + 1400000*ln2^3*z2*z3 + 
    5892600*ln2*z2^2*z3 + 1134000*ln2^2*z3^2 + 4168500*z2*z3^2 + 
    20937000*ln2*z2*z5 + 1443750*z3*z5)/1344000, 
 H[0, -1, -1, -1, 0, -1, 1, -1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    9600000*ln2^2*s6 + 3168000*ln2*s7a + 9888000*ln2*s7b - 23726850*s8a - 
    104832000*s8b - 25536000*s8c - 1344000*s8d - 16128000*li5half*ln2*z2 - 
    6048000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 12768000*s6*z2 + 
    1075200*li4half*z2^2 + 464800*ln2^4*z2^2 - 7053600*ln2^2*z2^3 - 
    6732816*z2^4 + 14784000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    170800*ln2^5*z3 - 532000*ln2^3*z2*z3 + 12529200*ln2*z2^2*z3 + 
    7551000*ln2^2*z3^2 + 21252000*z2*z3^2 - 4340000*ln2^3*z5 + 
    56970000*ln2*z2*z5 - 17624250*z3*z5 + 87691125*ln2*z7)/2688000, 
 H[0, -1, -1, -1, 0, -1, 0, 1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 - 710325*s8a - 
    2419200*li6half*z2 - 2419200*li5half*ln2*z2 - 806400*li4half*ln2^2*z2 - 
    16800*ln2^6*z2 + 2368800*s6*z2 + 50400*li4half*z2^2 + 102900*ln2^4*z2^2 - 
    12600*ln2^2*z2^3 + 950436*z2^4 + 2822400*li5half*z3 + 
    1411200*li4half*ln2*z3 + 35280*ln2^5*z3 - 470400*ln2^3*z2*z3 + 
    44100*ln2*z2^2*z3 + 617400*ln2^2*z3^2 - 1644300*z2*z3^2 - 
    4589550*ln2*z2*z5 + 455175*z3*z5)/403200, 
 H[0, -1, -1, -1, 0, -1, 0, 0, 1] -> 
  (656775*s8a - 705600*li4half*z2^2 - 29400*ln2^4*z2^2 + 176400*ln2^2*z2^3 + 
    654964*z2^4 - 617400*ln2*z2^2*z3 + 1260000*z2*z3^2 - 5163375*z3*z5)/
   672000, H[0, -1, -1, -1, 0, -1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 7837200*s8a + 
    36792000*s8b - 8064000*s8c + 8064000*s8d - 4032000*li4half*ln2^2*z2 - 
    168000*ln2^6*z2 - 11088000*s6*z2 - 4939200*li4half*z2^2 + 
    298200*ln2^4*z2^2 + 2847600*ln2^2*z2^3 + 7496208*z2^4 - 
    16128000*li5half*z3 + 14112000*li4half*ln2*z3 + 722400*ln2^5*z3 - 
    4872000*ln2^3*z2*z3 - 9714600*ln2*z2^2*z3 + 11214000*ln2^2*z3^2 + 
    9292500*z2*z3^2 - 9261000*ln2*z2*z5 - 34020000*z3*z5 - 16750125*ln2*z7)/
   4032000, H[0, -1, -1, -1, 0, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    15120000*ln2^2*s6 + 6351975*s8a + 165816000*s8b + 10080000*s8c + 
    30240000*s8d - 120960000*li6half*z2 - 72576000*li5half*ln2*z2 - 
    10080000*li4half*ln2^2*z2 + 16800*ln2^6*z2 - 85680000*s6*z2 + 
    17337600*li4half*z2^2 + 1478400*ln2^4*z2^2 + 9144000*ln2^2*z2^3 + 
    20090736*z2^4 + 20160000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    126000*ln2^5*z3 - 7140000*ln2^3*z2*z3 - 7270200*ln2*z2^2*z3 + 
    8536500*ln2^2*z3^2 - 22365000*z2*z3^2 + 6510000*ln2^3*z5 - 
    78624000*ln2*z2*z5 + 32468625*z3*z5)/8064000, 
 H[0, -1, -1, -1, 0, -1, -1, 0, 1] -> 
  (91425*s8a - 48000*s6*z2 + 4800*li4half*z2^2 + 200*ln2^4*z2^2 - 
    1200*ln2^2*z2^3 - 10572*z2^4 + 4200*ln2*z2^2*z3 + 59100*z2*z3^2 + 
    93000*ln2*z2*z5 - 163725*z3*z5)/38400, 
 H[0, -1, -1, -1, 0, -1, -1, -1, 1] -> 
  (3528000*li4half^2 + 294000*li4half*ln2^4 + 6125*ln2^8 - 7308000*ln2^2*s6 + 
    14616000*ln2*s7a - 3024000*ln2*s7b + 13798575*s8a + 165564000*s8b + 
    3024000*s8c + 14616000*s8d - 1764000*li4half*ln2^2*z2 - 73500*ln2^6*z2 - 
    38052000*s6*z2 + 100800*li4half*z2^2 + 224700*ln2^4*z2^2 + 
    2898000*ln2^2*z2^3 + 13677642*z2^4 - 29232000*li5half*z3 + 
    6174000*li4half*ln2*z3 + 500850*ln2^5*z3 - 3979500*ln2^3*z2*z3 - 
    14206500*ln2*z2^2*z3 + 11836125*ln2^2*z3^2 - 6347250*z2*z3^2 + 
    11392500*ln2^3*z5 + 362250*ln2*z2*z5 - 32389875*z3*z5 - 191842875*ln2*z7)/
   7056000, H[0, -1, -1, -1, -1, 1, 1, 1, 1] -> 
  (-403200*li4half^2 + 8064000*li8half - 16800*li4half*ln2^4 + 200*ln2^8 + 
    844200*s8a + 8870400*s8b + 1612800*s8d + 806400*li6half*z2 + 
    100800*li4half*ln2^2*z2 + 3920*ln2^6*z2 - 3830400*s6*z2 + 
    483840*li4half*z2^2 - 52080*ln2^4*z2^2 - 391680*ln2^2*z2^3 - 
    1105344*z2^4 - 2772000*li5half*z3 - 352800*li4half*ln2*z3 + 
    11340*ln2^5*z3 + 159600*ln2^3*z2*z3 - 405720*ln2*z2^2*z3 - 
    176400*ln2^2*z3^2 - 176400*z2*z3^2 + 1209600*ln2*z2*z5 + 240975*z3*z5)/
   403200, H[0, -1, -1, -1, -1, 1, 1, 0, 1] -> 
  (-4704000*li4half^2 - 150528000*li8half - 392000*li4half*ln2^4 - 
    11900*ln2^8 + 336000*ln2^2*s6 + 1107225*s8a - 37968000*s8b - 672000*s8c - 
    1680000*s8d + 37632000*li6half*z2 + 4704000*li4half*ln2^2*z2 + 
    352800*ln2^6*z2 + 13944000*s6*z2 + 7660800*li4half*z2^2 - 
    1180200*ln2^4*z2^2 - 151200*ln2^2*z2^3 + 1976976*z2^4 + 
    4536000*li5half*z3 - 17640000*li4half*ln2*z3 - 772800*ln2^5*z3 + 
    5474000*ln2^3*z2*z3 - 4578000*ln2*z2^2*z3 - 420000*ln2^2*z3^2 - 
    7140000*z2*z3^2 + 2016000*ln2*z2*z5 + 49882875*z3*z5)/9408000, 
 H[0, -1, -1, -1, -1, 1, 1, -1, 1] -> 
  (-282240000*li8half + 18816000*li7half*ln2 - 784000*li4half*ln2^4 - 
    43400*ln2^8 + 17808000*ln2^2*s6 + 8736000*ln2*s7a + 13440000*ln2*s7b - 
    65747325*s8a - 493416000*s8b - 53088000*s8c - 40992000*s8d + 
    28224000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    4704000*li4half*ln2^2*z2 + 117600*ln2^6*z2 + 131376000*s6*z2 - 
    5846400*li4half*z2^2 + 2892400*ln2^4*z2^2 + 7946400*ln2^2*z2^3 + 
    4563288*z2^4 + 63168000*li5half*z3 - 16464000*li4half*ln2*z3 - 
    1349600*ln2^5*z3 - 4732000*ln2^3*z2*z3 + 41811000*ln2*z2^2*z3 + 
    19414500*ln2^2*z3^2 + 44299500*z2*z3^2 - 4557000*ln2^3*z5 + 
    91413000*ln2*z2*z5 + 30620625*z3*z5 + 130362750*ln2*z7)/18816000, 
 H[0, -1, -1, -1, -1, 1, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    7056000*ln2^2*s6 + 11089575*s8a + 41328000*s8b + 14112000*s8c - 
    7056000*s8d - 16128000*li6half*z2 + 6048000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 - 156800*ln2^6*z2 + 6552000*s6*z2 - 
    11894400*li4half*z2^2 + 29400*ln2^4*z2^2 + 6476400*ln2^2*z2^3 + 
    9565992*z2^4 + 4536000*li5half*z3 + 15120000*li4half*ln2*z3 + 
    592200*ln2^5*z3 - 5460000*ln2^3*z2*z3 - 14817600*ln2*z2^2*z3 + 
    3087000*ln2^2*z3^2 - 15907500*z2*z3^2 - 71631000*ln2*z2*z5 + 
    16561125*z3*z5)/4032000, H[0, -1, -1, -1, -1, 1, 0, 0, 1] -> 
  (282240*li4half^2 + 23520*li4half*ln2^4 + 490*ln2^8 - 80640*ln2^2*s6 - 
    535185*s8a - 5705280*s8b + 161280*s8c - 1149120*s8d - 282240*li6half*z2 - 
    141120*li4half*ln2^2*z2 - 6272*ln2^6*z2 + 3074400*s6*z2 - 
    991872*li4half*z2^2 + 8652*ln2^4*z2^2 + 182952*ln2^2*z2^3 + 614322*z2^4 + 
    957600*li5half*z3 + 705600*li4half*ln2*z3 + 21420*ln2^5*z3 - 
    96600*ln2^3*z2*z3 + 6804*ln2*z2^2*z3 + 69930*ln2^2*z3^2 + 
    414855*z2*z3^2 - 483840*ln2*z2*z5 - 1861965*z3*z5)/282240, 
 H[0, -1, -1, -1, -1, 1, 0, -1, 1] -> 
  (310464000*li4half^2 - 2257920000*li8half - 451584000*li7half*ln2 + 
    25872000*li4half*ln2^4 + 572600*ln2^8 - 67536000*ln2^2*s6 + 
    114912000*ln2*s7a + 44352000*ln2*s7b - 292951575*s8a - 2619288000*s8b - 
    94752000*s8c - 272160000*s8d - 169344000*li6half*z2 - 
    141120000*li4half*ln2^2*z2 - 6428800*ln2^6*z2 + 777168000*s6*z2 - 
    307036800*li4half*z2^2 + 14607600*ln2^4*z2^2 + 143892000*ln2^2*z2^3 + 
    280725768*z2^4 + 523152000*li5half*z3 + 529200000*li4half*ln2*z3 + 
    17690400*ln2^5*z3 - 84588000*ln2^3*z2*z3 + 40206600*ln2*z2^2*z3 + 
    172399500*ln2^2*z3^2 + 167863500*z2*z3^2 + 68355000*ln2^3*z5 + 
    156177000*ln2*z2*z5 + 9898875*z3*z5 + 326529000*ln2*z7)/56448000, 
 H[0, -1, -1, -1, -1, 1, -1, 1, 1] -> 
  (395136000*li8half - 84672000*li6half*ln2^2 - 2352000*li4half*ln2^4 - 
    205800*ln2^8 - 71568000*ln2^2*s6 + 267209775*s8a + 2029608000*s8b + 
    171360000*s8c + 209664000*s8d - 84672000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1489600*ln2^6*z2 - 560448000*s6*z2 + 
    40521600*li4half*z2^2 - 6602400*ln2^4*z2^2 + 11844000*ln2^2*z2^3 - 
    7680816*z2^4 - 306432000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    1554000*ln2^5*z3 - 50232000*ln2^3*z2*z3 - 243192600*ln2*z2^2*z3 + 
    26176500*ln2^2*z3^2 - 309991500*z2*z3^2 - 852768000*ln2*z2*z5 + 
    489911625*z3*z5)/56448000, H[0, -1, -1, -1, -1, 1, -1, 0, 1] -> 
  (84672000*li4half^2 + 1128960000*li8half + 7056000*li4half*ln2^4 + 
    175000*ln2^8 - 126000000*ln2^2*s6 + 181441575*s8a + 327096000*s8b + 
    252000000*s8c - 195552000*s8d - 338688000*li6half*z2 - 
    56448000*li4half*ln2^2*z2 - 3606400*ln2^6*z2 + 369936000*s6*z2 - 
    133660800*li4half*z2^2 + 6190800*ln2^4*z2^2 + 39060000*ln2^2*z2^3 + 
    101205072*z2^4 - 74592000*li5half*z3 + 204624000*li4half*ln2*z3 + 
    9147600*ln2^5*z3 - 61488000*ln2^3*z2*z3 - 235557000*ln2*z2^2*z3 - 
    10741500*ln2^2*z3^2 - 97933500*z2*z3^2 - 756000000*ln2*z2*z5 - 
    299289375*z3*z5)/56448000, H[0, -1, -1, -1, -1, 1, -1, -1, 1] -> 
  (84672000*li4half^2 - 677376000*li8half - 84672000*li7half*ln2 + 
    42336000*li6half*ln2^2 + 8232000*li4half*ln2^4 + 254800*ln2^8 - 
    47376000*ln2^2*s6 + 43344000*ln2*s7a - 20160000*ln2*s7b - 64530900*s8a - 
    754488000*s8b - 6048000*s8c - 99792000*s8d - 211680000*li6half*z2 - 
    49392000*li4half*ln2^2*z2 - 2528400*ln2^6*z2 + 252504000*s6*z2 - 
    87696000*li4half*z2^2 + 8723400*ln2^4*z2^2 + 67536000*ln2^2*z2^3 + 
    123751476*z2^4 + 181944000*li5half*z3 + 155232000*li4half*ln2*z3 + 
    5157600*ln2^5*z3 - 23646000*ln2^3*z2*z3 + 20953800*ln2*z2^2*z3 + 
    62307000*ln2^2*z3^2 + 30334500*z2*z3^2 + 61519500*ln2^3*z5 + 
    79348500*ln2*z2*z5 + 8001000*z3*z5 - 390686625*ln2*z7)/28224000, 
 H[0, -1, -1, -1, -1, 0, 1, 1, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 355950*s8a - 
    6048000*li6half*z2 - 6048000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 
    1512000*s6*z2 + 1764000*li4half*z2^2 + 199500*ln2^4*z2^2 - 
    441000*ln2^2*z2^3 + 813528*z2^4 + 6804000*li5half*z3 - 
    252000*li4half*ln2*z3 - 67200*ln2^5*z3 - 252000*ln2^3*z2*z3 + 
    1543500*ln2*z2^2*z3 - 110250*ln2^2*z3^2 + 401625*z2*z3^2 + 
    2929500*ln2*z2*z5 - 5150250*z3*z5)/2016000, 
 H[0, -1, -1, -1, -1, 0, 1, 0, 1] -> 
  (-110775*s8a + 722400*li4half*z2^2 + 30100*ln2^4*z2^2 - 180600*ln2^2*z2^3 - 
    148534*z2^4 - 1008000*li5half*z3 - 1008000*li4half*ln2*z3 - 
    33600*ln2^5*z3 + 168000*ln2^3*z2*z3 + 632100*ln2*z2^2*z3 - 
    441000*ln2^2*z3^2 - 49875*z2*z3^2 + 404250*z3*z5)/672000, 
 H[0, -1, -1, -1, -1, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    14112000*ln2^2*s6 - 10080000*ln2*s7a - 10080000*ln2*s7b - 7519050*s8a + 
    20160000*s8b - 8064000*s8c + 8064000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 26208000*s6*z2 + 25401600*li4half*z2^2 - 
    705600*ln2^4*z2^2 - 7912800*ln2^2*z2^3 - 5173848*z2^4 - 
    15120000*li5half*z3 - 55440000*li4half*ln2*z3 - 2184000*ln2^5*z3 + 
    12600000*ln2^3*z2*z3 + 25225200*ln2*z2^2*z3 - 17199000*ln2^2*z3^2 + 
    13576500*z2*z3^2 + 53802000*ln2*z2*z5 - 19435500*z3*z5 - 65323125*ln2*z7)/
   8064000, H[0, -1, -1, -1, -1, 0, 0, 1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 + 177975*s8a + 
    3024000*li6half*z2 + 3024000*li5half*ln2*z2 + 504000*li4half*ln2^2*z2 - 
    756000*s6*z2 - 705600*li4half*z2^2 - 92400*ln2^4*z2^2 + 
    176400*ln2^2*z2^3 - 509484*z2^4 - 4536000*li5half*z3 - 
    1008000*li4half*ln2*z3 - 4200*ln2^5*z3 + 315000*ln2^3*z2*z3 - 
    617400*ln2*z2^2*z3 - 441000*ln2^2*z3^2 + 1228500*z2*z3^2 + 
    1464750*ln2*z2*z5 + 370125*z3*z5)/1008000, 
 H[0, -1, -1, -1, -1, 0, 0, 0, 1] -> 
  (110775*s8a + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 58800*ln2^2*z2^3 - 
    370956*z2^4 + 205800*ln2*z2^2*z3 - 630000*z2*z3^2 + 2737875*z3*z5)/
   672000, H[0, -1, -1, -1, -1, 0, 0, -1, 1] -> 
  (672000*ln2^2*s6 - 1344000*ln2*s7a - 1344000*ln2*s7b + 1253175*s8a - 
    3360000*s8b + 1344000*s8c - 1344000*s8d + 2688000*s6*z2 - 
    100800*li4half*z2^2 - 4200*ln2^4*z2^2 - 243600*ln2^2*z2^3 - 396572*z2^4 + 
    1680000*li5half*z3 - 1008000*li4half*ln2*z3 - 56000*ln2^5*z3 + 
    392000*ln2^3*z2*z3 + 810600*ln2*z2^2*z3 - 1281000*ln2^2*z3^2 - 
    1863750*z2*z3^2 - 84000*ln2*z2*z5 + 4543875*z3*z5 - 2709000*ln2*z7)/
   1344000, H[0, -1, -1, -1, -1, 0, -1, 1, 1] -> 
  (44352000*li4half^2 + 3696000*li4half*ln2^4 + 77000*ln2^8 - 
    9072000*ln2^2*s6 + 12160575*s8a - 22680000*s8b + 18144000*s8c - 
    18144000*s8d + 60480000*li6half*z2 + 60480000*li5half*ln2*z2 + 
    8064000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 46368000*s6*z2 - 
    27820800*li4half*z2^2 - 2167200*ln2^4*z2^2 + 6501600*ln2^2*z2^3 - 
    23328*z2^4 - 33264000*li5half*z3 + 15120000*li4half*ln2*z3 + 
    907200*ln2^5*z3 + 2268000*ln2^3*z2*z3 - 20601000*ln2*z2^2*z3 - 
    6741000*ln2^2*z3^2 - 4599000*z2*z3^2 - 54432000*ln2*z2*z5 + 
    2827125*z3*z5)/8064000, H[0, -1, -1, -1, -1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 1611225*s8a + 
    4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 5544000*li4half*z2^2 - 
    273000*ln2^4*z2^2 - 1386000*ln2^2*z2^3 - 2901396*z2^4 + 
    6048000*li5half*z3 - 8064000*li4half*ln2*z3 - 386400*ln2^5*z3 + 
    2520000*ln2^3*z2*z3 + 4851000*ln2*z2^2*z3 - 3528000*ln2^2*z3^2 - 
    6315750*z2*z3^2 + 18907875*z3*z5)/4032000, 
 H[0, -1, -1, -1, -1, 0, -1, -1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 + 336000*ln2^2*s6 - 
    672000*ln2*s7a - 672000*ln2*s7b + 96075*s8a - 4200000*s8b + 672000*s8c - 
    672000*s8d + 403200*li4half*ln2^2*z2 + 16800*ln2^6*z2 + 1344000*s6*z2 + 
    510720*li4half*z2^2 - 29120*ln2^4*z2^2 - 262080*ln2^2*z2^3 - 
    516552*z2^4 + 1276800*li5half*z3 - 1478400*li4half*ln2*z3 - 
    72240*ln2^5*z3 + 476000*ln2^3*z2*z3 + 896280*ln2*z2^2*z3 - 
    1066800*ln2^2*z3^2 - 430500*z2*z3^2 - 42000*ln2*z2*z5 + 1839075*z3*z5 + 
    3646125*ln2*z7)/537600, H[0, -1, -1, -1, -1, -1, 1, 1, 1] -> 
  (403200*li8half - 13440*li5half*ln2^3 - 3360*li4half*ln2^4 - 18*ln2^8 - 
    21105*s8a - 120960*s8b - 40320*s8d + 40320*li5half*ln2*z2 - 56*ln2^6*z2 + 
    80640*s6*z2 - 12096*li4half*z2^2 - 1008*ln2^4*z2^2 - 17568*ln2^2*z2^3 - 
    17748*z2^4 + 10080*li4half*ln2*z3 - 168*ln2^5*z3 + 17640*ln2^3*z2*z3 + 
    24192*ln2*z2^2*z3 - 30870*ln2^2*z3^2 + 70560*z2*z3^2 + 120960*ln2*z2*z5 - 
    277200*z3*z5)/80640, H[0, -1, -1, -1, -1, -1, 1, 0, 1] -> 
  (-5040000*li4half^2 - 8064000*li8half - 420000*li4half*ln2^4 - 8950*ln2^8 + 
    2016000*ln2^2*s6 - 1507275*s8a + 7056000*s8b - 4032000*s8c + 
    5040000*s8d + 3024000*li6half*z2 - 1008000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 102200*ln2^6*z2 - 11088000*s6*z2 + 
    5443200*li4half*z2^2 - 92400*ln2^4*z2^2 - 1332000*ln2^2*z2^3 - 
    2860164*z2^4 - 4284000*li5half*z3 - 8568000*li4half*ln2*z3 - 
    321300*ln2^5*z3 + 1638000*ln2^3*z2*z3 + 3754800*ln2*z2^2*z3 - 
    866250*ln2^2*z3^2 + 1307250*z2*z3^2 + 12096000*ln2*z2*z5 + 7575750*z3*z5)/
   2016000, H[0, -1, -1, -1, -1, -1, 1, -1, 1] -> 
  (-1209600*li4half^2 + 4032000*li8half + 1209600*li7half*ln2 + 
    67200*li5half*ln2^3 - 84000*li4half*ln2^4 - 2100*ln2^8 + 
    201600*ln2^2*s6 - 201600*ln2*s7a + 633150*s8a + 7257600*s8b + 
    1209600*s8d + 1209600*li6half*z2 - 201600*li5half*ln2*z2 + 
    604800*li4half*ln2^2*z2 + 27160*ln2^6*z2 - 3024000*s6*z2 + 
    1209600*li4half*z2^2 - 63000*ln2^4*z2^2 - 429120*ln2^2*z2^3 - 
    939816*z2^4 - 2116800*li5half*z3 - 2167200*li4half*ln2*z3 - 
    69720*ln2^5*z3 + 365400*ln2^3*z2*z3 + 10080*ln2*z2^2*z3 - 
    560700*ln2^2*z3^2 - 302400*z2*z3^2 - 195300*ln2^3*z5 - 6300*ln2*z2*z5 + 
    973350*z3*z5 + 596925*ln2*z7)/403200, 
 H[0, -1, -1, -1, -1, -1, 0, 1, 1] -> 
  (-1008000*li4half^2 - 84000*li4half*ln2^4 - 1750*ln2^8 + 77175*s8a - 
    5040000*li6half*z2 - 5040000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 
    49000*ln2^6*z2 - 50400*li4half*z2^2 + 249900*ln2^4*z2^2 + 
    12600*ln2^2*z2^3 + 848268*z2^4 + 4788000*li5half*z3 + 
    3024000*li4half*ln2*z3 + 86100*ln2^5*z3 - 1092000*ln2^3*z2*z3 - 
    44100*ln2*z2^2*z3 + 1323000*ln2^2*z3^2 - 1157625*z2*z3^2 + 173250*z3*z5)/
   2016000, H[0, -1, -1, -1, -1, -1, 0, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 77175*s8a - 
    1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 1512000*li4half*z2^2 + 
    63000*ln2^4*z2^2 + 378000*ln2^2*z2^3 + 767412*z2^4 - 1512000*li5half*z3 + 
    2016000*li4half*ln2*z3 + 96600*ln2^5*z3 - 630000*ln2^3*z2*z3 - 
    1323000*ln2*z2^2*z3 + 882000*ln2^2*z3^2 + 1386000*z2*z3^2 - 
    3913875*z3*z5)/2016000, H[0, -1, -1, -1, -1, -1, 0, -1, 1] -> 
  (864000*li4half^2 + 72000*li4half*ln2^4 + 1500*ln2^8 - 144000*ln2^2*s6 + 
    288000*ln2*s7a + 288000*ln2*s7b - 41175*s8a + 1800000*s8b - 288000*s8c + 
    288000*s8d - 288000*li6half*z2 - 288000*li5half*ln2*z2 - 
    576000*li4half*ln2^2*z2 - 22000*ln2^6*z2 - 576000*s6*z2 - 
    633600*li4half*z2^2 + 45600*ln2^4*z2^2 + 216000*ln2^2*z2^3 + 
    370152*z2^4 - 432000*li5half*z3 + 1656000*li4half*ln2*z3 + 
    72600*ln2^5*z3 - 492000*ln2^3*z2*z3 - 747000*ln2*z2^2*z3 + 
    904500*ln2^2*z3^2 + 184500*z2*z3^2 + 18000*ln2*z2*z5 - 903375*z3*z5 - 
    1562625*ln2*z7)/576000, H[0, -1, -1, -1, -1, -1, -1, 1, 1] -> 
  (201600*li4half^2 - 403200*li8half + 100800*li6half*ln2^2 + 
    33600*li5half*ln2^3 + 25200*li4half*ln2^4 + 550*ln2^8 - 105525*s8a - 
    1209600*s8b - 201600*s8d - 201600*li6half*z2 - 100800*li4half*ln2^2*z2 - 
    5180*ln2^6*z2 + 504000*s6*z2 - 201600*li4half*z2^2 + 7980*ln2^4*z2^2 + 
    56160*ln2^2*z2^3 + 119772*z2^4 + 352800*li5half*z3 + 
    352800*li4half*ln2*z3 + 13230*ln2^5*z3 - 58800*ln2^3*z2*z3 + 
    77175*ln2^2*z3^2 + 50400*z2*z3^2 - 162225*z3*z5)/201600, 
 H[0, -1, -1, -1, -1, -1, -1, 0, 1] -> 
  (-100800*li4half^2 - 8400*li4half*ln2^4 - 175*ln2^8 + 100800*li6half*z2 + 
    100800*li5half*ln2*z2 + 100800*li4half*ln2^2*z2 + 3500*ln2^6*z2 + 
    80640*li4half*z2^2 - 9240*ln2^4*z2^2 - 20160*ln2^2*z2^3 - 39168*z2^4 - 
    25200*li5half*z3 - 201600*li4half*ln2*z3 - 8190*ln2^5*z3 + 
    63000*ln2^3*z2*z3 + 70560*ln2*z2^2*z3 - 88200*ln2^2*z3^2 + 25200*z3*z5)/
   201600, H[0, -1, -1, -1, -1, -1, -1, -1, 1] -> 
  (-201600*li8half - 201600*li7half*ln2 - 100800*li6half*ln2^2 - 
    33600*li5half*ln2^3 - 8400*li4half*ln2^4 - 175*ln2^8 + 700*ln2^6*z2 + 
    27648*z2^4 - 1470*ln2^5*z3)/201600, H[-1, 1, 1, 1, 1, 1, 1, 1, 1] -> 
  li8half, H[-1, 1, 1, 1, 1, 1, 1, 0, 1] -> 
  (-2016000*li8half - 403200*li7half*ln2 + 30*ln2^8 - 105525*s8a - 
    1209600*s8b - 201600*s8d - 560*ln2^6*z2 + 504000*s6*z2 - 
    40320*li4half*z2^2 - 2520*ln2^4*z2^2 + 10080*ln2^2*z2^3 + 138204*z2^4 + 
    403200*li5half*z3 + 50400*z2*z3^2 + 67200*ln2^3*z5 - 201600*ln2*z2*z5 + 
    190575*z3*z5 + 403200*ln2*z7)/403200, H[-1, 1, 1, 1, 1, 1, 1, -1, 1] -> 
  (-12*li4half^2 + 24*li7half*ln2 + 12*li6half*ln2^2 + 4*li5half*ln2^3 - 
    12*li6half*z2 - 12*li5half*ln2*z2 + 21*li5half*z3)/24, 
 H[-1, 1, 1, 1, 1, 1, 0, 1, 1] -> (159936000*li8half + 56448000*li7half*ln2 + 
    4704000*li6half*ln2^2 - 700*ln2^8 - 3360000*ln2^2*s6 + 18559275*s8a + 
    137424000*s8b + 6720000*s8c + 14448000*s8d + 4704000*li6half*z2 + 
    19600*ln2^6*z2 - 39480000*s6*z2 + 2889600*li4half*z2^2 + 
    208600*ln2^4*z2^2 + 252000*ln2^2*z2^3 - 12827916*z2^4 - 
    28896000*li5half*z3 + 84000*ln2^5*z3 - 840000*ln2^3*z2*z3 - 
    7434000*ln2*z2^2*z3 - 945000*ln2^2*z3^2 - 9597000*z2*z3^2 - 
    6272000*ln2^3*z5 - 1344000*ln2*z2*z5 - 18083625*z3*z5 - 56448000*ln2*z7)/
   9408000, H[-1, 1, 1, 1, 1, 1, 0, 0, 1] -> 
  (-225792000*li8half - 56448000*li7half*ln2 + 5600*ln2^8 - 
    4032000*ln2^2*s6 + 14112000*ln2*s7a - 33517575*s8a - 172368000*s8b - 
    20160000*s8c - 1008000*s8d + 14112000*li6half*z2 - 58800*ln2^6*z2 + 
    12600000*s6*z2 - 201600*li4half*z2^2 + 256200*ln2^4*z2^2 + 
    5090400*ln2^2*z2^3 + 16315308*z2^4 + 2016000*li5half*z3 + 
    218400*ln2^5*z3 + 168000*ln2^3*z2*z3 + 13129200*ln2*z2^2*z3 + 
    13419000*ln2^2*z3^2 + 25263000*z2*z3^2 + 23079000*ln2^3*z5 + 
    46809000*ln2*z2*z5 + 23932125*z3*z5 + 42887250*ln2*z7)/28224000, 
 H[-1, 1, 1, 1, 1, 1, 0, -1, 1] -> (14112000*li4half^2 - 620928000*li8half - 
    169344000*li7half*ln2 - 14112000*li6half*ln2^2 + 1176000*li4half*ln2^4 + 
    23100*ln2^8 + 24192000*ln2^2*s6 + 14112000*ln2*s7a + 14112000*ln2*s7b - 
    98939925*s8a - 581616000*s8b - 76608000*s8c - 15120000*s8d + 
    28224000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 254800*ln2^6*z2 + 
    76104000*s6*z2 - 6552000*li4half*z2^2 + 1961400*ln2^4*z2^2 + 
    11037600*ln2^2*z2^3 + 36979812*z2^4 + 47880000*li5half*z3 + 
    24696000*li4half*ln2*z3 + 277200*ln2^5*z3 + 1344000*ln2^3*z2*z3 + 
    62168400*ln2*z2^2*z3 + 23010750*ln2^2*z3^2 + 77411250*z2*z3^2 - 
    3969000*ln2^3*z5 + 200277000*ln2*z2*z5 + 19963125*z3*z5 + 
    92775375*ln2*z7)/28224000, H[-1, 1, 1, 1, 1, 1, -1, 1, 1] -> 
  (6048000*li4half^2 - 32256000*li8half - 24192000*li7half*ln2 - 
    10080000*li6half*ln2^2 - 2688000*li5half*ln2^3 + 2000*ln2^8 - 
    1008000*ln2^2*s6 + 1901025*s8a - 12600000*s8b + 2016000*s8c - 
    2016000*s8d + 10080000*li6half*z2 + 8064000*li5half*ln2*z2 - 
    22400*ln2^6*z2 + 4032000*s6*z2 - 403200*li4half*z2^2 + 67200*ln2^4*z2^2 + 
    50400*ln2^2*z2^3 + 1030824*z2^4 - 10080000*li5half*z3 + 25200*ln2^5*z3 - 
    252000*ln2^3*z2*z3 - 2230200*ln2*z2^2*z3 - 283500*ln2^2*z3^2 - 
    1291500*z2*z3^2 - 6048000*ln2*z2*z5 + 12371625*z3*z5 + 24192000*ln2*z7)/
   4032000, H[-1, 1, 1, 1, 1, 1, -1, 0, 1] -> 
  (-4032000*li4half^2 + 32256000*li8half + 16128000*li7half*ln2 + 
    6048000*li6half*ln2^2 + 2016000*li5half*ln2^3 + 168000*li4half*ln2^4 + 
    3200*ln2^8 + 2016000*ln2*s7b - 1901025*s8a + 12600000*s8b - 2016000*s8c + 
    2016000*s8d - 4032000*li6half*z2 - 4032000*li5half*ln2*z2 - 
    8400*ln2^6*z2 - 3024000*s6*z2 + 604800*li4half*z2^2 + 33600*ln2^4*z2^2 - 
    151200*ln2^2*z2^3 - 1434024*z2^4 + 2520000*li5half*z3 - 
    504000*li4half*ln2*z3 + 12600*ln2^5*z3 + 84000*ln2^3*z2*z3 + 
    693000*ln2*z2^2*z3 - 220500*ln2^2*z3^2 + 1795500*z2*z3^2 - 
    1974000*ln2^3*z5 + 126000*ln2*z2*z5 - 12481875*z3*z5 - 9001125*ln2*z7)/
   4032000, H[-1, 1, 1, 1, 1, 1, -1, -1, 1] -> 
  (20160000*li8half + 12096000*li7half*ln2 + 4032000*li6half*ln2^2 + 
    672000*li5half*ln2^3 - 2000*ln2^8 + 2016000*ln2*s7a - 691425*s8a + 
    24696000*s8b - 2016000*s8c + 4032000*s8d - 4032000*li6half*z2 - 
    2016000*li5half*ln2*z2 + 22400*ln2^6*z2 - 10080000*s6*z2 + 
    806400*li4half*z2^2 - 50400*ln2^4*z2^2 + 252000*ln2^2*z2^3 - 88488*z2^4 - 
    4536000*li5half*z3 + 8400*ln2^5*z3 - 84000*ln2^3*z2*z3 + 
    718200*ln2*z2^2*z3 + 1543500*ln2^2*z3^2 + 2047500*z2*z3^2 + 
    1302000*ln2^3*z5 + 8064000*ln2*z2*z5 - 10875375*z3*z5 - 30161250*ln2*z7)/
   4032000, H[-1, 1, 1, 1, 1, 0, 1, 1, 1] -> 
  (-1975680000*li8half - 846720000*li7half*ln2 - 141120000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 1400*ln2^8 + 53424000*ln2^2*s6 - 232118775*s8a - 
    1545768000*s8b - 106848000*s8c - 104832000*s8d + 141120000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 39200*ln2^6*z2 + 315504000*s6*z2 - 
    20966400*li4half*z2^2 - 1167600*ln2^4*z2^2 - 12650400*ln2^2*z2^3 + 
    122026896*z2^4 + 216720000*li5half*z3 - 1335600*ln2^5*z3 + 
    13356000*ln2^3*z2*z3 + 118200600*ln2*z2^2*z3 + 15025500*ln2^2*z3^2 + 
    121369500*z2*z3^2 + 56448000*ln2^3*z5 + 151200000*ln2*z2*z5 + 
    252023625*z3*z5 + 846720000*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, 1, 0, 1, 0, 1] -> 
  (564480000*li8half + 112896000*li7half*ln2 - 8400*ln2^8 + 
    33264000*ln2^2*s6 - 43344000*ln2*s7a + 20160000*ln2*s7b + 34443675*s8a + 
    144144000*s8b + 20160000*s8c - 27216000*s8d - 70560000*li6half*z2 - 
    14112000*li5half*ln2*z2 + 98000*ln2^6*z2 + 57960000*s6*z2 - 
    5443200*li4half*z2^2 - 1432200*ln2^4*z2^2 - 17556000*ln2^2*z2^3 - 
    32731932*z2^4 + 26208000*li5half*z3 - 688800*ln2^5*z3 + 
    2184000*ln2^3*z2*z3 - 9752400*ln2*z2^2*z3 - 42903000*ln2^2*z3^2 - 
    25263000*z2*z3^2 - 87391500*ln2^3*z5 - 100516500*ln2*z2*z5 - 
    102209625*z3*z5 + 80222625*ln2*z7)/28224000, 
 H[-1, 1, 1, 1, 1, 0, 1, -1, 1] -> (806400*li4half^2 + 99993600*li8half + 
    24192000*li7half*ln2 + 4032000*li6half*ln2^2 + 268800*li5half*ln2^3 - 
    201600*li4half*ln2^4 - 8760*ln2^8 - 2016000*ln2^2*s6 - 2016000*ln2*s7a - 
    2016000*ln2*s7b + 16471350*s8a + 104428800*s8b + 12096000*s8c + 
    4435200*s8d - 4032000*li6half*z2 + 1612800*li5half*ln2*z2 + 
    1209600*li4half*ln2^2*z2 + 88480*ln2^6*z2 - 19152000*s6*z2 + 
    1491840*li4half*z2^2 - 737520*ln2^4*z2^2 - 2584800*ln2^2*z2^3 - 
    5877072*z2^4 - 14112000*li5half*z3 - 4233600*li4half*ln2*z3 - 
    48720*ln2^5*z3 - 218400*ln2^3*z2*z3 - 10155600*ln2*z2^2*z3 - 
    4359600*ln2^2*z3^2 - 11743200*z2*z3^2 + 340200*ln2^3*z5 - 
    31386600*ln2*z2*z5 - 4410000*z3*z5 - 13253625*ln2*z7)/1612800, 
 H[-1, 1, 1, 1, 1, 0, 0, 1, 1] -> 
  (188160000*li8half + 112896000*li7half*ln2 + 18816000*li6half*ln2^2 + 
    8400*ln2^8 + 17808000*ln2^2*s6 - 18144000*ln2*s7a - 13440000*ln2*s7b - 
    8773275*s8a - 69048000*s8b - 8736000*s8c - 19488000*s8d - 
    75264000*li6half*z2 - 18816000*li5half*ln2*z2 + 48384000*s6*z2 - 
    3897600*li4half*z2^2 + 308000*ln2^4*z2^2 - 3903200*ln2^2*z2^3 - 
    4536904*z2^4 + 69552000*li5half*z3 - 422800*ln2^5*z3 + 
    7364000*ln2^3*z2*z3 + 25758600*ln2*z2^2*z3 - 6163500*ln2^2*z3^2 + 
    9124500*z2*z3^2 - 6125000*ln2^3*z5 + 89061000*ln2*z2*z5 - 
    67963875*z3*z5 - 196439250*ln2*z7)/18816000, 
 H[-1, 1, 1, 1, 1, 0, 0, 0, 1] -> (-13104000*ln2^2*s6 + 8467200*ln2*s7a + 
    16000425*s8a + 115416000*s8b + 9273600*s8c + 16128000*s8d + 
    5644800*li6half*z2 + 7840*ln2^6*z2 - 46368000*s6*z2 + 
    3225600*li4half*z2^2 - 65520*ln2^4*z2^2 + 3447360*ln2^2*z2^3 - 
    1673424*z2^4 - 36489600*li5half*z3 + 304080*ln2^5*z3 - 
    2570400*ln2^3*z2*z3 - 19008360*ln2*z2^2*z3 + 6457500*ln2^2*z3^2 - 
    9116100*z2*z3^2 + 10084200*ln2^3*z5 - 27556200*ln2*z2*z5 + 
    30314025*z3*z5 - 2447550*ln2*z7)/5644800, 
 H[-1, 1, 1, 1, 1, 0, 0, -1, 1] -> (28224000*li4half^2 - 338688000*li8half - 
    169344000*li7half*ln2 - 28224000*li6half*ln2^2 + 2352000*li4half*ln2^4 + 
    35000*ln2^8 + 2016000*ln2^2*s6 + 55440000*ln2*s7a + 48384000*ln2*s7b - 
    68318775*s8a - 99792000*s8b - 100800000*s8c + 93744000*s8d - 
    14112000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 372400*ln2^6*z2 - 198072000*s6*z2 + 
    11692800*li4half*z2^2 + 1222200*ln2^4*z2^2 + 9055200*ln2^2*z2^3 - 
    11314524*z2^4 - 123984000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    2856000*ln2^5*z3 - 17976000*ln2^3*z2*z3 - 17766000*ln2*z2^2*z3 + 
    74434500*ln2^2*z3^2 + 84199500*z2*z3^2 + 73500*ln2^3*z5 + 
    194890500*ln2*z2*z5 + 146892375*z3*z5 + 351547875*ln2*z7)/28224000, 
 H[-1, 1, 1, 1, 1, 0, -1, 1, 1] -> (-84672000*li4half^2 - 338688000*li8half + 
    677376000*li7half*ln2 + 141120000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 219800*ln2^8 - 32256000*ln2^2*s6 + 
    16128000*ln2*s7a - 110880000*ln2*s7b - 190209600*s8a - 1317456000*s8b - 
    108864000*s8c - 131040000*s8d - 141120000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 1999200*ln2^6*z2 + 
    452592000*s6*z2 - 24796800*li4half*z2^2 + 24250800*ln2^4*z2^2 + 
    69501600*ln2^2*z2^3 + 41680584*z2^4 + 403200000*li5half*z3 + 
    14112000*li4half*ln2*z3 - 2419200*ln2^5*z3 + 26544000*ln2^3*z2*z3 + 
    208756800*ln2*z2^2*z3 + 83538000*ln2^2*z3^2 + 81648000*z2*z3^2 + 
    134946000*ln2^3*z5 + 620550000*ln2*z2*z5 - 84971250*z3*z5 - 
    1245250125*ln2*z7)/56448000, H[-1, 1, 1, 1, 1, 0, -1, 0, 1] -> 
  (-28224000*li4half^2 + 1128960000*li8half + 225792000*li7half*ln2 - 
    2352000*li4half*ln2^4 - 65800*ln2^8 - 184464000*ln2^2*s6 + 
    28224000*ln2*s7a - 28224000*ln2*s7b + 448482825*s8a + 2622312000*s8b + 
    312480000*s8c + 195552000*s8d + 141120000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 705600*ln2^6*z2 - 
    645120000*s6*z2 + 41932800*li4half*z2^2 - 3838800*ln2^4*z2^2 + 
    28408800*ln2^2*z2^3 - 75390528*z2^4 - 532224000*li5half*z3 - 
    49392000*li4half*ln2*z3 + 1671600*ln2^5*z3 - 32004000*ln2^3*z2*z3 - 
    347092200*ln2*z2^2*z3 - 19908000*ln2^2*z3^2 - 326749500*z2*z3^2 + 
    42630000*ln2^3*z5 - 840420000*ln2*z2*z5 + 318583125*z3*z5 - 
    373196250*ln2*z7)/56448000, H[-1, 1, 1, 1, 1, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 - 1072512000*li8half - 677376000*li7half*ln2 - 
    141120000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    156800*ln2^8 + 174384000*ln2^2*s6 - 86688000*ln2*s7a + 40320000*ln2*s7b - 
    248593275*s8a - 1650600000*s8b - 175392000*s8c - 120960000*s8d + 
    56448000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1685600*ln2^6*z2 + 404208000*s6*z2 + 
    36489600*li4half*z2^2 - 5418000*ln2^4*z2^2 - 62143200*ln2^2*z2^3 + 
    40711176*z2^4 + 270144000*li5half*z3 - 112896000*li4half*ln2*z3 - 
    6484800*ln2^5*z3 + 46032000*ln2^3*z2*z3 + 218597400*ln2*z2^2*z3 - 
    72891000*ln2^2*z3^2 + 182700000*z2*z3^2 - 121275000*ln2^3*z5 + 
    398475000*ln2*z2*z5 - 71985375*z3*z5 + 787988250*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, 1, -1, 1, 1, 1] -> (-2419200*li4half^2 + 32256000*li8half + 
    24192000*li7half*ln2 + 8064000*li6half*ln2^2 + 1612800*li5half*ln2^3 - 
    2000*ln2^8 + 1008000*ln2^2*s6 - 1901025*s8a + 12600000*s8b - 
    2016000*s8c + 2016000*s8d - 8064000*li6half*z2 - 4838400*li5half*ln2*z2 + 
    22400*ln2^6*z2 - 4032000*s6*z2 + 403200*li4half*z2^2 - 67200*ln2^4*z2^2 - 
    50400*ln2^2*z2^3 - 1030824*z2^4 + 4435200*li5half*z3 - 25200*ln2^5*z3 + 
    252000*ln2^3*z2*z3 + 2230200*ln2*z2^2*z3 + 283500*ln2^2*z3^2 + 
    1291500*z2*z3^2 + 6048000*ln2*z2*z5 - 12371625*z3*z5 - 24192000*ln2*z7)/
   1612800, H[-1, 1, 1, 1, 1, -1, 1, 0, 1] -> 
  (-188160000*li8half - 206976000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 22400*ln2^8 - 
    13776000*ln2^2*s6 - 5376000*ln2*s7a - 10080000*ln2*s7b + 35837550*s8a - 
    32592000*s8b + 33600000*s8c - 10080000*s8d + 37632000*li6half*z2 + 
    18816000*li5half*ln2*z2 - 39200*ln2^6*z2 + 10752000*s6*z2 - 
    4838400*li4half*z2^2 + 621600*ln2^4*z2^2 + 1428000*ln2^2*z2^3 - 
    1085232*z2^4 - 3360000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    165200*ln2^5*z3 - 3220000*ln2^3*z2*z3 - 26216400*ln2*z2^2*z3 - 
    2331000*ln2^2*z3^2 - 36519000*z2*z3^2 + 5978000*ln2^3*z5 - 
    75306000*ln2*z2*z5 + 157773000*z3*z5 + 229973625*ln2*z7)/18816000, 
 H[-1, 1, 1, 1, 1, -1, 1, -1, 1] -> 
  (-959616000*li8half - 677376000*li7half*ln2 - 197568000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 + 70000*ln2^8 + 8064000*ln2^2*s6 - 
    86688000*ln2*s7a + 40320000*ln2*s7b - 39197025*s8a - 1265544000*s8b + 
    30240000*s8c - 157248000*s8d + 197568000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 784000*ln2^6*z2 + 441504000*s6*z2 - 
    31449600*li4half*z2^2 + 1629600*ln2^4*z2^2 - 11239200*ln2^2*z2^3 + 
    1342296*z2^4 + 166320000*li5half*z3 - 562800*ln2^5*z3 + 
    5628000*ln2^3*z2*z3 - 2709000*ln2*z2^2*z3 - 64102500*ln2^2*z3^2 - 
    36130500*z2*z3^2 - 82026000*ln2^3*z5 - 336168000*ln2*z2*z5 + 
    446252625*z3*z5 + 1628093250*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, 1, -1, 0, 1, 1] -> (3225600*li4half^2 - 32256000*li8half - 
    14515200*li7half*ln2 - 3225600*li6half*ln2^2 - 806400*li5half*ln2^3 + 
    67200*li4half*ln2^4 + 1520*ln2^8 + 345600*ln2^2*s6 + 460800*ln2*s7a - 
    3168000*ln2*s7b + 1901025*s8a - 12600000*s8b + 2016000*s8c - 
    2016000*s8d + 3225600*li6half*z2 + 4032000*li5half*ln2*z2 + 
    403200*li4half*ln2^2*z2 + 2240*ln2^6*z2 + 2217600*s6*z2 - 
    1169280*li4half*z2^2 - 114240*ln2^4*z2^2 + 217440*ln2^2*z2^3 + 
    1560744*z2^4 - 1209600*li5half*z3 + 403200*li4half*ln2*z3 + 
    18480*ln2^5*z3 + 117600*ln2^3*z2*z3 - 553320*ln2*z2^2*z3 + 
    626400*ln2^2*z3^2 - 1008000*z2*z3^2 + 3418800*ln2^3*z5 + 
    3661200*ln2*z2*z5 + 11864475*z3*z5 - 1709775*ln2*z7)/1612800, 
 H[-1, 1, 1, 1, 1, -1, 0, 0, 1] -> (14112000*li4half^2 + 282240000*li8half + 
    112896000*li7half*ln2 + 28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 67900*ln2^8 - 3024000*ln2^2*s6 + 
    70560000*ln2*s7b - 53756325*s8a + 48888000*s8b - 50400000*s8c + 
    15120000*s8d + 14112000*li5half*ln2*z2 - 235200*ln2^6*z2 + 
    8568000*s6*z2 - 6148800*li4half*z2^2 - 520800*ln2^4*z2^2 - 
    680400*ln2^2*z2^3 - 7177032*z2^4 - 44352000*li5half*z3 + 
    10584000*li4half*ln2*z3 + 987000*ln2^5*z3 - 4284000*ln2^3*z2*z3 - 
    13658400*ln2*z2^2*z3 + 31500*ln2^2*z3^2 + 50037750*z2*z3^2 - 
    59535000*ln2^3*z5 - 85176000*ln2*z2*z5 - 178282125*z3*z5 + 
    189464625*ln2*z7)/28224000, H[-1, 1, 1, 1, 1, -1, 0, -1, 1] -> 
  (225792000*li4half^2 + 959616000*li8half + 56448000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 47040000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 149800*ln2^8 - 111888000*ln2^2*s6 + 
    98784000*ln2*s7a + 155232000*ln2*s7b + 39197025*s8a + 1265544000*s8b - 
    30240000*s8c + 157248000*s8d + 112896000*li6half*z2 + 
    169344000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1450400*ln2^6*z2 - 
    349776000*s6*z2 - 54633600*li4half*z2^2 - 1453200*ln2^4*z2^2 + 
    20260800*ln2^2*z2^3 - 48504096*z2^4 - 610848000*li5half*z3 + 
    134064000*li4half*ln2*z3 + 9324000*ln2^5*z3 - 66780000*ln2^3*z2*z3 - 
    254079000*ln2*z2^2*z3 + 113620500*ln2^2*z3^2 + 12537000*z2*z3^2 - 
    28518000*ln2^3*z5 - 445536000*ln2*z2*z5 - 63795375*z3*z5 + 
    386371125*ln2*z7)/56448000, H[-1, 1, 1, 1, 1, -1, -1, 1, 1] -> 
  (-282240000*li8half - 169344000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    14000*ln2^8 + 48384000*ln2^2*s6 - 54432000*ln2*s7a - 40320000*ln2*s7b + 
    10002825*s8a - 315000000*s8b + 26208000*s8c - 68544000*s8d + 
    28224000*li6half*z2 + 156800*ln2^6*z2 + 151200000*s6*z2 - 
    13708800*li4half*z2^2 - 1159200*ln2^4*z2^2 - 12751200*ln2^2*z2^3 + 
    17699832*z2^4 + 137088000*li5half*z3 - 1554000*ln2^5*z3 + 
    15540000*ln2^3*z2*z3 + 53159400*ln2*z2^2*z3 - 49675500*ln2^2*z3^2 - 
    28255500*z2*z3^2 - 27342000*ln2^3*z5 + 52164000*ln2*z2*z5 + 
    52297875*z3*z5 - 81285750*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, 1, -1, -1, 0, 1] -> (-537600*li4half^2 + 4838400*li8half + 
    5376000*li7half*ln2 + 2150400*li6half*ln2^2 + 448000*li5half*ln2^3 - 
    760*ln2^8 + 134400*ln2^2*s6 + 672000*ln2*s7a - 134400*ln2*s7b - 
    109200*s8a + 3494400*s8b - 537600*s8c + 806400*s8d - 1612800*li6half*z2 - 
    1075200*li5half*ln2*z2 + 6720*ln2^6*z2 - 2150400*s6*z2 + 
    161280*li4half*z2^2 - 16800*ln2^4*z2^2 + 57120*ln2^2*z2^3 - 196368*z2^4 + 
    201600*li5half*z3 - 1120*ln2^5*z3 - 28000*ln2^3*z2*z3 + 
    181440*ln2*z2^2*z3 + 478800*ln2^2*z3^2 + 546000*z2*z3^2 + 
    436800*ln2^3*z5 + 2805600*ln2*z2*z5 - 2169300*z3*z5 - 6188175*ln2*z7)/
   537600, H[-1, 1, 1, 1, 1, -1, -1, -1, 1] -> 
  (4032000*li4half^2 + 32256000*li8half + 16128000*li7half*ln2 - 
    1344000*li5half*ln2^3 + 2000*ln2^8 - 5040000*ln2^2*s6 + 4032000*ln2*s7a + 
    3595725*s8a + 61992000*s8b + 2016000*s8c + 6048000*s8d + 
    4032000*li5half*ln2*z2 - 22400*ln2^6*z2 - 16128000*s6*z2 + 
    1209600*li4half*z2^2 + 134400*ln2^4*z2^2 + 1260000*ln2^2*z2^3 + 
    206136*z2^4 - 19152000*li5half*z3 + 159600*ln2^5*z3 - 
    1596000*ln2^3*z2*z3 - 6262200*ln2*z2^2*z3 + 4756500*ln2^2*z3^2 - 
    1291500*z2*z3^2 + 5208000*ln2^3*z5 - 5796000*ln2*z2*z5 - 8481375*z3*z5 - 
    44257500*ln2*z7)/8064000, H[-1, 1, 1, 1, 0, 1, 1, 1, 1] -> 
  (-3528000*li4half^2 + 246960000*li8half + 141120000*li7half*ln2 + 
    35280000*li6half*ln2^2 + 4704000*li5half*ln2^3 - 5950*ln2^8 - 
    1512000*ln2^2*s6 + 13798575*s8a + 165564000*s8b + 3024000*s8c + 
    14616000*s8d - 35280000*li6half*z2 - 14112000*li5half*ln2*z2 + 
    68600*ln2^6*z2 - 38052000*s6*z2 + 5745600*li4half*z2^2 - 
    98700*ln2^4*z2^2 + 907200*ln2^2*z2^3 - 13175478*z2^4 - 
    4536000*li5half*z3 + 37800*ln2^5*z3 - 378000*ln2^3*z2*z3 - 
    3345300*ln2*z2^2*z3 - 425250*ln2^2*z3^2 - 6347250*z2*z3^2 - 
    4704000*ln2^3*z5 + 5040000*ln2*z2*z5 - 57085875*z3*z5 - 141120000*ln2*z7)/
   7056000, H[-1, 1, 1, 1, 0, 1, 1, 0, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 
    51609600*ln2^2*s6 + 20966400*ln2*s7a - 21369600*ln2*s7b + 87866100*s8a + 
    428601600*s8b + 61286400*s8c + 34675200*s8d + 56448000*li6half*z2 + 
    22579200*li5half*ln2*z2 - 109760*ln2^6*z2 - 117331200*s6*z2 + 
    1854720*li4half*z2^2 + 665280*ln2^4*z2^2 + 13860000*ln2^2*z2^3 + 
    494064*z2^4 - 114508800*li5half*z3 - 1411200*li4half*ln2*z3 + 
    895440*ln2^5*z3 - 8248800*ln2^3*z2*z3 - 64794240*ln2*z2^2*z3 + 
    14767200*ln2^2*z3^2 - 60429600*z2*z3^2 + 49480200*ln2^3*z5 - 
    111295800*ln2*z2*z5 + 108126900*z3*z5 - 191931075*ln2*z7)/11289600, 
 H[-1, 1, 1, 1, 0, 1, 1, -1, 1] -> (1344000*li4half^2 - 129024000*li8half - 
    26880000*li7half*ln2 - 6720000*li6half*ln2^2 - 1792000*li5half*ln2^3 + 
    168000*li4half*ln2^4 + 12400*ln2^8 + 1416000*ln2^2*s6 + 2784000*ln2*s7a - 
    576000*ln2*s7b - 19572525*s8a - 138936000*s8b - 13440000*s8c - 
    9408000*s8d + 6720000*li6half*z2 + 5376000*li5half*ln2*z2 - 
    123200*ln2^6*z2 + 32760000*s6*z2 - 2822400*li4half*z2^2 + 
    1131200*ln2^4*z2^2 + 3994800*ln2^2*z2^3 + 8471436*z2^4 + 
    17808000*li5half*z3 + 3528000*li4half*ln2*z3 - 11200*ln2^5*z3 + 
    700000*ln2^3*z2*z3 + 13269600*ln2*z2^2*z3 + 6057750*ln2^2*z3^2 + 
    13634250*z2*z3^2 + 3174500*ln2^3*z5 + 42358500*ln2*z2*z5 + 
    4499250*z3*z5 - 9661500*ln2*z7)/1344000, H[-1, 1, 1, 1, 0, 1, 0, 1, 1] -> 
  (14112000*li4half^2 - 1128960000*li8half - 451584000*li7half*ln2 - 
    56448000*li6half*ln2^2 + 1176000*li4half*ln2^4 + 7700*ln2^8 + 
    1512000*ln2^2*s6 + 68544000*ln2*s7a + 26208000*ln2*s7b - 135509850*s8a - 
    832104000*s8b - 76608000*s8c - 36288000*s8d + 225792000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 - 254800*ln2^6*z2 + 
    160776000*s6*z2 - 12196800*li4half*z2^2 + 1197000*ln2^4*z2^2 + 
    5392800*ln2^2*z2^3 + 52019424*z2^4 + 2016000*li5half*z3 + 
    7056000*li4half*ln2*z3 + 277200*ln2^5*z3 - 11004000*ln2^3*z2*z3 + 
    37875600*ln2*z2^2*z3 + 43974000*ln2^2*z3^2 + 81270000*z2*z3^2 + 
    50421000*ln2^3*z5 + 13041000*ln2*z2*z5 + 132032250*z3*z5 + 
    638764875*ln2*z7)/28224000, H[-1, 1, 1, 1, 0, 1, 0, 0, 1] -> 
  (25804800*ln2^2*s6 - 16934400*ln2*s7a + 2822400*ln2*s7b - 29131200*s8a - 
    211377600*s8b - 17740800*s8c - 27417600*s8d - 11289600*li6half*z2 - 
    15680*ln2^6*z2 + 83764800*s6*z2 - 1391040*li4half*z2^2 - 
    105000*ln2^4*z2^2 - 6024480*ln2^2*z2^3 + 900624*z2^4 + 
    71769600*li5half*z3 + 4233600*li4half*ln2*z3 - 421680*ln2^5*z3 + 
    3981600*ln2^3*z2*z3 + 34725600*ln2*z2^2*z3 - 13028400*ln2^2*z3^2 + 
    14981400*z2*z3^2 - 24313800*ln2^3*z5 + 44314200*ln2*z2*z5 - 
    53984700*z3*z5 + 26823825*ln2*z7)/5644800, 
 H[-1, 1, 1, 1, 0, 1, 0, -1, 1] -> 
  (-56448000*li4half^2 + 1241856000*li8half + 451584000*li7half*ln2 + 
    56448000*li6half*ln2^2 - 4704000*li4half*ln2^4 - 78400*ln2^8 - 
    31752000*ln2^2*s6 - 124992000*ln2*s7a - 82656000*ln2*s7b + 
    198301950*s8a + 657720000*s8b + 249984000*s8c - 158256000*s8d + 
    28224000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    35280000*li4half*ln2^2*z2 + 882000*ln2^6*z2 + 334152000*s6*z2 - 
    14011200*li4half*z2^2 - 3847200*ln2^4*z2^2 - 26838000*ln2^2*z2^3 - 
    22895748*z2^4 + 217728000*li5half*z3 - 105840000*li4half*ln2*z3 - 
    5401200*ln2^5*z3 + 31668000*ln2^3*z2*z3 - 19404000*ln2*z2^2*z3 - 
    166698000*ln2^2*z3^2 - 232029000*z2*z3^2 - 13965000*ln2^3*z5 - 
    646065000*ln2*z2*z5 - 291367125*z3*z5 - 521514000*ln2*z7)/28224000, 
 H[-1, 1, 1, 1, 0, 1, -1, 1, 1] -> 
  (-84672000*li4half^2 + 3725568000*li8half - 282240000*li7half*ln2 - 
    141120000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    8232000*li4half*ln2^4 - 400400*ln2^8 - 363888000*ln2^2*s6 - 
    44352000*ln2*s7a + 139104000*ln2*s7b + 1202841675*s8a + 8004024000*s8b + 
    816480000*s8c + 735840000*s8d + 141120000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 3763200*ln2^6*z2 - 
    2247840000*s6*z2 + 169041600*li4half*z2^2 - 40555200*ln2^4*z2^2 - 
    27316800*ln2^2*z2^3 - 249420672*z2^4 - 1372896000*li5half*z3 - 
    28224000*li4half*ln2*z3 + 10676400*ln2^5*z3 - 111468000*ln2^3*z2*z3 - 
    994379400*ln2*z2^2*z3 - 191866500*ln2^2*z3^2 - 889528500*z2*z3^2 - 
    186249000*ln2^3*z5 - 2838213000*ln2*z2*z5 + 760764375*z3*z5 + 
    977011875*ln2*z7)/28224000, H[-1, 1, 1, 1, 0, 1, -1, 0, 1] -> 
  (197568000*li4half^2 - 9031680000*li8half - 1806336000*li7half*ln2 + 
    7056000*li4half*ln2^4 + 85400*ln2^8 + 1382976000*ln2^2*s6 - 
    193536000*ln2*s7a + 243936000*ln2*s7b - 3060395100*s8a - 
    19542096000*s8b - 2181312000*s8c - 1628928000*s8d - 
    282240000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 3057600*ln2^6*z2 + 5134752000*s6*z2 - 
    397756800*li4half*z2^2 + 22646400*ln2^4*z2^2 - 211377600*ln2^2*z2^3 + 
    526440024*z2^4 + 3483648000*li5half*z3 + 232848000*li4half*ln2*z3 - 
    19328400*ln2^5*z3 + 235620000*ln2^3*z2*z3 + 2352999600*ln2*z2^2*z3 + 
    82026000*ln2^2*z3^2 + 2327913000*z2*z3^2 - 461580000*ln2^3*z5 + 
    5962761000*ln2*z2*z5 - 2098010250*z3*z5 + 3098678625*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, 0, 1, -1, -1, 1] -> 
  (225792000*li4half^2 - 4459392000*li8half + 564480000*li7half*ln2 + 
    282240000*li6half*ln2^2 + 25872000*li4half*ln2^4 + 855400*ln2^8 + 
    240912000*ln2^2*s6 + 155232000*ln2*s7a - 70560000*ln2*s7b - 
    1278720450*s8a - 9103248000*s8b - 834624000*s8c - 844704000*s8d - 
    28224000*li6half*z2 - 112896000*li4half*ln2^2*z2 - 8702400*ln2^6*z2 + 
    2557296000*s6*z2 - 369331200*li4half*z2^2 + 51702000*ln2^4*z2^2 + 
    128268000*ln2^2*z2^3 + 288183528*z2^4 + 1548288000*li5half*z3 + 
    352800000*li4half*ln2*z3 + 2209200*ln2^5*z3 + 36708000*ln2^3*z2*z3 + 
    879202800*ln2*z2^2*z3 + 330151500*ln2^2*z3^2 + 908428500*z2*z3^2 + 
    244902000*ln2^3*z5 + 2639700000*ln2*z2*z5 - 471996000*z3*z5 - 
    112510125*ln2*z7)/56448000, H[-1, 1, 1, 1, 0, 0, 1, 1, 1] -> 
  (4032000*li4half^2 - 32256000*li7half*ln2 - 16128000*li6half*ln2^2 - 
    2688000*li5half*ln2^3 + 336000*li4half*ln2^4 + 13400*ln2^8 - 
    8784000*ln2^2*s6 + 5760000*ln2*s7a + 7776000*ln2*s7b + 9705150*s8a + 
    32256000*s8b + 4032000*s8c + 4032000*s8d + 16128000*li6half*z2 + 
    8064000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 151200*ln2^6*z2 - 
    11088000*s6*z2 + 604800*li4half*z2^2 + 579600*ln2^4*z2^2 + 
    1764000*ln2^2*z2^3 - 2822976*z2^4 - 38304000*li5half*z3 - 
    1008000*li4half*ln2*z3 + 277200*ln2^5*z3 - 2940000*ln2^3*z2*z3 - 
    16398000*ln2*z2^2*z3 + 1467000*ln2^2*z3^2 + 567000*z2*z3^2 - 
    3927000*ln2^3*z5 - 29079000*ln2*z2*z5 + 20522250*z3*z5 + 77124375*ln2*z7)/
   8064000, H[-1, 1, 1, 1, 0, 0, 1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    504000*ln2^2*s6 - 4536000*ln2*s7a - 15120000*ln2*s7b - 7167825*s8a + 
    49014000*s8b + 8064000*s8c + 6048000*s8d - 14112000*li6half*z2 - 
    7056000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 333200*ln2^6*z2 - 
    20034000*s6*z2 + 1738800*li4half*z2^2 - 750750*ln2^4*z2^2 - 
    3612000*ln2^2*z2^3 + 6189948*z2^4 + 30240000*li5half*z3 - 
    10584000*li4half*ln2*z3 - 693000*ln2^5*z3 + 5754000*ln2^3*z2*z3 + 
    16682400*ln2*z2^2*z3 - 5040000*ln2^2*z3^2 - 9686250*z2*z3^2 + 
    15545250*ln2^3*z5 - 504000*ln2*z2*z5 - 25184250*z3*z5 - 66906000*ln2*z7)/
   7056000, H[-1, 1, 1, 1, 0, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 + 451584000*li8half + 225792000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 229600*ln2^8 - 23184000*ln2^2*s6 - 
    76608000*ln2*s7a - 90720000*ln2*s7b + 132561450*s8a + 685440000*s8b + 
    270144000*s8c - 114912000*s8d - 112896000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 
    116928000*s6*z2 + 29232000*li4half*z2^2 - 4485600*ln2^4*z2^2 - 
    32608800*ln2^2*z2^3 + 72650232*z2^4 + 300384000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 3032400*ln2^5*z3 - 10836000*ln2^3*z2*z3 + 
    34700400*ln2*z2^2*z3 - 154476000*ln2^2*z3^2 - 191142000*z2*z3^2 + 
    54831000*ln2^3*z5 - 669627000*ln2*z2*z5 - 351792000*z3*z5 - 
    268970625*ln2*z7)/56448000, H[-1, 1, 1, 1, 0, 0, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    82656000*ln2^2*s6 - 66528000*ln2*s7a + 46368000*ln2*s7b - 58679775*s8a - 
    591192000*s8b - 74592000*s8c - 66528000*s8d - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 274400*ln2^6*z2 + 
    175392000*s6*z2 - 18950400*li4half*z2^2 - 1848000*ln2^4*z2^2 - 
    6988800*ln2^2*z2^3 - 1510944*z2^4 + 111888000*li5half*z3 + 
    21168000*li4half*ln2*z3 - 50400*ln2^5*z3 + 8736000*ln2^3*z2*z3 + 
    62659800*ln2*z2^2*z3 - 39154500*ln2^2*z3^2 + 66307500*z2*z3^2 - 
    123480000*ln2^3*z5 + 155484000*ln2*z2*z5 - 39335625*z3*z5 + 
    182455875*ln2*z7)/28224000, H[-1, 1, 1, 1, 0, 0, 0, 0, 1] -> 
  (-1008000*ln2^2*s6 + 672000*ln2*s7a + 1069425*s8a + 6720000*s8b + 
    672000*s8c + 672000*s8d - 2520000*s6*z2 + 369600*li4half*z2^2 + 
    15400*ln2^4*z2^2 + 292800*ln2^2*z2^3 + 188808*z2^4 - 2352000*li5half*z3 + 
    19600*ln2^5*z3 - 196000*ln2^3*z2*z3 - 1331400*ln2*z2^2*z3 + 
    577500*ln2^2*z3^2 - 304500*z2*z3^2 + 763000*ln2^3*z5 - 
    1659000*ln2*z2*z5 + 952875*z3*z5 - 1296750*ln2*z7)/672000, 
 H[-1, 1, 1, 1, 0, 0, 0, -1, 1] -> (-105840000*ln2^2*s6 + 66528000*ln2*s7a - 
    46368000*ln2*s7b + 235172700*s8a + 1341144000*s8b + 120960000*s8c + 
    175392000*s8d - 56448000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    156800*ln2^6*z2 - 544824000*s6*z2 + 48484800*li4half*z2^2 + 
    432600*ln2^4*z2^2 + 50080800*ln2^2*z2^3 - 3712728*z2^4 - 
    379008000*li5half*z3 - 21168000*li4half*ln2*z3 + 2276400*ln2^5*z3 - 
    23940000*ln2^3*z2*z3 - 187336800*ln2*z2^2*z3 + 57330000*ln2^2*z3^2 - 
    134379000*z2*z3^2 + 87024000*ln2^3*z5 - 141561000*ln2*z2*z5 + 
    437645250*z3*z5 - 560503125*ln2*z7)/28224000, 
 H[-1, 1, 1, 1, 0, 0, -1, 1, 1] -> (112896000*li4half^2 - 56448000*li8half + 
    169344000*li7half*ln2 + 56448000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 161000*ln2^8 + 125496000*ln2^2*s6 - 
    22176000*ln2*s7a + 34272000*ln2*s7b - 208799325*s8a - 1359288000*s8b - 
    227808000*s8c - 82656000*s8d - 56448000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 784000*ln2^6*z2 + 
    331128000*s6*z2 - 56044800*li4half*z2^2 + 2486400*ln2^4*z2^2 - 
    11466000*ln2^2*z2^3 - 41828112*z2^4 + 122976000*li5half*z3 + 
    42336000*li4half*ln2*z3 + 327600*ln2^5*z3 + 24948000*ln2^3*z2*z3 + 
    150431400*ln2*z2^2*z3 + 36949500*ln2^2*z3^2 + 190921500*z2*z3^2 - 
    79674000*ln2^3*z5 + 657279000*ln2*z2*z5 - 75040875*z3*z5 + 
    12529125*ln2*z7)/28224000, H[-1, 1, 1, 1, 0, 0, -1, 0, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 - 
    49392000*ln2^2*s6 + 2016000*ln2*s7a - 68544000*ln2*s7b + 43279425*s8a + 
    520128000*s8b + 94752000*s8c + 18144000*s8d + 56448000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1607200*ln2^6*z2 - 
    89208000*s6*z2 + 15624000*li4half*z2^2 - 2230200*ln2^4*z2^2 - 
    3544800*ln2^2*z2^3 + 39404448*z2^4 - 8064000*li5half*z3 - 
    105840000*li4half*ln2*z3 - 4342800*ln2^5*z3 + 23436000*ln2^3*z2*z3 - 
    10672200*ln2*z2^2*z3 - 25578000*ln2^2*z3^2 - 63346500*z2*z3^2 + 
    92757000*ln2^3*z5 - 160524000*ln2*z2*z5 - 118605375*z3*z5 - 
    436731750*ln2*z7)/28224000, H[-1, 1, 1, 1, 0, 0, -1, -1, 1] -> 
  (-10080000*li4half^2 - 40320000*li8half - 24192000*li7half*ln2 - 
    8064000*li6half*ln2^2 - 1344000*li5half*ln2^3 - 840000*li4half*ln2^4 - 
    13700*ln2^8 - 7272000*ln2^2*s6 + 1728000*ln2*s7a - 6336000*ln2*s7b + 
    13760775*s8a + 87192000*s8b + 10080000*s8c + 12096000*s8d + 
    12096000*li6half*z2 + 4032000*li5half*ln2*z2 + 5040000*li4half*ln2^2*z2 + 
    176400*ln2^6*z2 - 32256000*s6*z2 + 11894400*li4half*z2^2 + 
    75600*ln2^4*z2^2 + 957600*ln2^2*z2^3 + 874224*z2^4 - 
    17136000*li5half*z3 - 13104000*li4half*ln2*z3 - 403200*ln2^5*z3 + 
    1848000*ln2^3*z2*z3 - 3105000*ln2*z2^2*z3 - 1840500*ln2^2*z3^2 - 
    11245500*z2*z3^2 + 8127000*ln2^3*z5 - 12321000*ln2*z2*z5 + 
    21191625*z3*z5 - 46269000*ln2*z7)/4032000, 
 H[-1, 1, 1, 1, 0, -1, 1, 1, 1] -> 
  (169344000*li4half^2 - 6547968000*li8half - 1072512000*li7half*ln2 - 
    197568000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 403200*ln2^8 + 744912000*ln2^2*s6 + 
    12096000*ln2*s7a + 82656000*ln2*s7b - 2038571325*s8a - 13284936000*s8b - 
    1429344000*s8c - 1195488000*s8d + 197568000*li6half*z2 + 
    225792000*li5half*ln2*z2 - 3684800*ln2^6*z2 + 3661056000*s6*z2 - 
    270144000*li4half*z2^2 + 37077600*ln2^4*z2^2 - 92131200*ln2^2*z2^3 + 
    382459608*z2^4 + 1995840000*li5half*z3 - 17043600*ln2^5*z3 + 
    170436000*ln2^3*z2*z3 + 1500647400*ln2*z2^2*z3 + 164745000*ln2^2*z3^2 + 
    1623258000*z2*z3^2 - 71736000*ln2^3*z5 + 4053168000*ln2*z2*z5 - 
    1420437375*z3*z5 + 1513488375*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, 0, -1, 1, 0, 1] -> 
  (-70560000*li4half^2 + 4515840000*li8half + 903168000*li7half*ln2 - 
    1176000*li4half*ln2^4 + 6300*ln2^8 - 710640000*ln2^2*s6 + 
    121968000*ln2*s7a - 139104000*ln2*s7b + 1525674150*s8a + 9990792000*s8b + 
    1078560000*s8c + 911232000*s8d - 98784000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 960400*ln2^6*z2 - 
    2835000000*s6*z2 + 195652800*li4half*z2^2 - 9987600*ln2^4*z2^2 + 
    124135200*ln2^2*z2^3 - 256709196*z2^4 - 1709568000*li5half*z3 - 
    10584000*li4half*ln2*z3 + 13805400*ln2^5*z3 - 138054000*ln2^3*z2*z3 - 
    1166571000*ln2*z2^2*z3 + 14017500*ln2^2*z3^2 - 1178037000*z2*z3^2 + 
    279594000*ln2^3*z5 - 2881084500*ln2*z2*z5 + 1166326875*z3*z5 - 
    1563211125*ln2*z7)/28224000, H[-1, 1, 1, 1, 0, -1, 1, -1, 1] -> 
  (9765504000*li8half + 1072512000*li7half*ln2 + 197568000*li6half*ln2^2 + 
    112896000*li5half*ln2^3 + 2352000*li4half*ln2^4 - 539000*ln2^8 - 
    933408000*ln2^2*s6 + 68544000*ln2*s7a + 139104000*ln2*s7b + 
    2759732325*s8a + 18748296000*s8b + 1856736000*s8c + 1713600000*s8d - 
    197568000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    98784000*li4half*ln2^2*z2 + 4351200*ln2^6*z2 - 5275872000*s6*z2 + 
    315907200*li4half*z2^2 - 70333200*ln2^4*z2^2 + 30794400*ln2^2*z2^3 - 
    580303008*z2^4 - 3081456000*li5half*z3 + 197568000*li4half*ln2*z3 + 
    33087600*ln2^5*z3 - 297948000*ln2^3*z2*z3 - 2222425800*ln2*z2^2*z3 - 
    228564000*ln2^2*z3^2 - 2028915000*z2*z3^2 - 124215000*ln2^3*z5 - 
    5813451000*ln2*z2*z5 + 1455307875*z3*z5 - 294611625*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, 0, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2257920000*li8half - 903168000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 2352000*li4half*ln2^4 - 82600*ln2^8 + 
    363888000*ln2^2*s6 - 163296000*ln2*s7a + 147168000*ln2*s7b - 
    681963975*s8a - 4197816000*s8b - 457632000*s8c - 360864000*s8d - 
    508032000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 744800*ln2^6*z2 + 975744000*s6*z2 - 
    41126400*li4half*z2^2 - 4830000*ln2^4*z2^2 - 52970400*ln2^2*z2^3 + 
    224145504*z2^4 + 862848000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    7778400*ln2^5*z3 + 61320000*ln2^3*z2*z3 + 543853800*ln2*z2^2*z3 - 
    114408000*ln2^2*z3^2 + 519624000*z2*z3^2 - 292236000*ln2^3*z5 + 
    857682000*ln2*z2*z5 - 489612375*z3*z5 + 1520528625*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, 0, -1, 0, 0, 1] -> (7761600*ln2^2*s6 - 5846400*ln2*s7a + 
    1209600*ln2*s7b - 6304725*s8a - 70358400*s8b - 3830400*s8c - 
    13104000*s8d - 5644800*li6half*z2 - 7840*ln2^6*z2 + 33264000*s6*z2 + 
    1683360*li4half*z2^2 + 64260*ln2^4*z2^2 - 2042880*ln2^2*z2^3 + 
    1593912*z2^4 + 17740800*li5half*z3 - 2116800*li4half*ln2*z3 - 
    236040*ln2^5*z3 + 1654800*ln2^3*z2*z3 + 9393300*ln2*z2^2*z3 - 
    5733000*ln2^2*z3^2 + 6852825*z2*z3^2 - 8805300*ln2^3*z5 + 
    11818800*ln2*z2*z5 - 21638925*z3*z5 + 907200*ln2*z7)/2822400, 
 H[-1, 1, 1, 1, 0, -1, 0, -1, 1] -> 
  (-338688000*li4half^2 + 2483712000*li8half + 903168000*li7half*ln2 + 
    112896000*li6half*ln2^2 - 28224000*li4half*ln2^4 - 548800*ln2^8 - 
    246960000*ln2^2*s6 - 175392000*ln2*s7a - 485856000*ln2*s7b + 
    1036474425*s8a + 5174568000*s8b + 901152000*s8c + 114912000*s8d - 
    423360000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    155232000*li4half*ln2^2*z2 + 6507200*ln2^6*z2 - 857808000*s6*z2 + 
    236073600*li4half*z2^2 - 12213600*ln2^4*z2^2 + 18043200*ln2^2*z2^3 + 
    24387408*z2^4 - 314496000*li5half*z3 - 578592000*li4half*ln2*z3 - 
    19840800*ln2^5*z3 + 94920000*ln2^3*z2*z3 - 312669000*ln2*z2^2*z3 - 
    315756000*ln2^2*z3^2 - 837931500*z2*z3^2 + 292236000*ln2^3*z5 - 
    1264788000*ln2*z2*z5 + 241597125*z3*z5 - 3981418875*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, 0, -1, -1, 1, 1] -> 
  (112896000*li4half^2 - 2765952000*li8half + 395136000*li7half*ln2 + 
    197568000*li6half*ln2^2 + 7056000*li4half*ln2^4 + 225400*ln2^8 + 
    357840000*ln2^2*s6 + 118944000*ln2*s7a - 149184000*ln2*s7b - 
    1063756575*s8a - 6724872000*s8b - 784224000*s8c - 598752000*s8d - 
    197568000*li6half*z2 + 84672000*li5half*ln2*z2 - 2704800*ln2^6*z2 + 
    1804320000*s6*z2 - 143740800*li4half*z2^2 + 29643600*ln2^4*z2^2 - 
    19454400*ln2^2*z2^3 + 176654448*z2^4 + 1028160000*li5half*z3 + 
    14112000*li4half*ln2*z3 - 7568400*ln2^5*z3 + 78036000*ln2^3*z2*z3 + 
    845875800*ln2*z2^2*z3 + 262710000*ln2^2*z3^2 + 844389000*z2*z3^2 + 
    285915000*ln2^3*z5 + 2748123000*ln2*z2*z5 - 724129875*z3*z5 - 
    1067424750*ln2*z7)/56448000, H[-1, 1, 1, 1, 0, -1, -1, 0, 1] -> 
  (-7056000*ln2^2*s6 - 5040000*ln2*s7a - 26208000*ln2*s7b + 3534300*s8a + 
    50904000*s8b + 24192000*s8c - 10080000*s8d + 98784000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 
    44856000*s6*z2 - 2721600*li4half*z2^2 + 915600*ln2^4*z2^2 - 
    3830400*ln2^2*z2^3 + 336888*z2^4 - 18648000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 1020600*ln2^5*z3 + 7854000*ln2^3*z2*z3 + 
    1940400*ln2*z2^2*z3 - 11355750*ln2^2*z3^2 - 11529000*z2*z3^2 + 
    23446500*ln2^3*z5 - 1102500*ln2*z2*z5 - 49533750*z3*z5 - 
    183763125*ln2*z7)/28224000, H[-1, 1, 1, 1, 0, -1, -1, -1, 1] -> 
  (-141120000*li4half^2 - 395136000*li7half*ln2 - 197568000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 225400*ln2^8 + 
    4032000*ln2^2*s6 - 157248000*ln2*s7a - 30240000*ln2*s7b + 179548425*s8a + 
    657720000*s8b + 179424000*s8c - 38304000*s8d + 28224000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 3214400*ln2^6*z2 + 6048000*s6*z2 + 
    89712000*li4half*z2^2 - 7198800*ln2^4*z2^2 - 16077600*ln2^2*z2^3 + 
    40939128*z2^4 + 27216000*li5half*z3 - 261072000*li4half*ln2*z3 - 
    11104800*ln2^5*z3 + 67536000*ln2^3*z2*z3 + 4422600*ln2*z2^2*z3 - 
    211869000*ln2^2*z3^2 - 161028000*z2*z3^2 - 130977000*ln2^3*z5 - 
    456939000*ln2*z2*z5 + 29129625*z3*z5 - 227138625*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, -1, 1, 1, 1, 1] -> (3528000*li4half^2 - 254016000*li8half - 
    141120000*li7half*ln2 - 35280000*li6half*ln2^2 - 4704000*li5half*ln2^3 + 
    5950*ln2^8 + 1512000*ln2^2*s6 - 13798575*s8a - 165564000*s8b - 
    3024000*s8c - 14616000*s8d + 35280000*li6half*z2 + 
    14112000*li5half*ln2*z2 - 68600*ln2^6*z2 + 38052000*s6*z2 - 
    2923200*li4half*z2^2 + 98700*ln2^4*z2^2 - 907200*ln2^2*z2^3 + 
    13175478*z2^4 + 4536000*li5half*z3 - 37800*ln2^5*z3 + 
    378000*ln2^3*z2*z3 + 3345300*ln2*z2^2*z3 + 425250*ln2^2*z3^2 + 
    6347250*z2*z3^2 + 4704000*ln2^3*z5 - 5040000*ln2*z2*z5 + 57085875*z3*z5 + 
    141120000*ln2*z7)/7056000, H[-1, 1, 1, 1, -1, 1, 1, 0, 1] -> 
  (18816000*li4half^2 + 677376000*li8half + 376320000*li7half*ln2 + 
    94080000*li6half*ln2^2 + 12544000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 
    33600*ln2^8 - 69888000*ln2^2*s6 + 25536000*ln2*s7a - 26208000*ln2*s7b + 
    146854050*s8a + 968688000*s8b + 88704000*s8c + 61824000*s8d + 
    18816000*li5half*ln2*z2 - 156800*ln2^6*z2 - 198912000*s6*z2 + 
    15187200*li4half*z2^2 + 1064000*ln2^4*z2^2 + 14901600*ln2^2*z2^3 - 
    29225832*z2^4 - 170688000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    1108800*ln2^5*z3 - 10892000*ln2^3*z2*z3 - 94180800*ln2*z2^2*z3 + 
    14815500*ln2^2*z3^2 - 89827500*z2*z3^2 + 51548000*ln2^3*z5 - 
    154140000*ln2*z2*z5 - 61414500*z3*z5 - 653905875*ln2*z7)/18816000, 
 H[-1, 1, 1, 1, -1, 1, 1, -1, 1] -> 
  (395136000*li8half + 214502400*li7half*ln2 + 50803200*li6half*ln2^2 + 
    5644800*li5half*ln2^3 - 9520*ln2^8 - 12902400*ln2^2*s6 + 
    20966400*ln2*s7a - 21369600*ln2*s7b + 58556925*s8a + 574056000*s8b + 
    26208000*s8c + 44352000*s8d - 50803200*li6half*z2 - 
    16934400*li5half*ln2*z2 + 109760*ln2^6*z2 - 145152000*s6*z2 + 
    8870400*li4half*z2^2 + 16800*ln2^4*z2^2 + 4596480*ln2^2*z2^3 - 
    1767672*z2^4 - 59068800*li5half*z3 + 409920*ln2^5*z3 - 
    4099200*ln2^3*z2*z3 - 26553240*ln2*z2^2*z3 + 12423600*ln2^2*z3^2 - 
    24330600*z2*z3^2 + 19815600*ln2^3*z5 + 49064400*ln2*z2*z5 - 
    133407225*z3*z5 - 609646275*ln2*z7)/11289600, 
 H[-1, 1, 1, 1, -1, 1, 0, 1, 1] -> (-56448000*li4half^2 - 112896000*li8half + 
    112896000*li7half*ln2 + 84672000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 - 113400*ln2^8 + 164808000*ln2^2*s6 - 
    44352000*ln2*s7a + 139104000*ln2*s7b - 356932800*s8a - 1605744000*s8b - 
    290304000*s8c - 90720000*s8d - 254016000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 
    326088000*s6*z2 + 22075200*li4half*z2^2 + 361200*ln2^4*z2^2 - 
    40849200*ln2^2*z2^3 + 17514432*z2^4 + 350784000*li5half*z3 - 
    21168000*li4half*ln2*z3 - 3746400*ln2^5*z3 + 25704000*ln2^3*z2*z3 + 
    259635600*ln2*z2^2*z3 - 39312000*ln2^2*z3^2 + 310779000*z2*z3^2 - 
    186249000*ln2^3*z5 + 595035000*ln2*z2*z5 - 559030500*z3*z5 + 
    581875875*ln2*z7)/28224000, H[-1, 1, 1, 1, -1, 1, 0, 0, 1] -> 
  (-16934400*li4half^2 - 45158400*li7half*ln2 - 22579200*li6half*ln2^2 - 
    3763200*li5half*ln2^3 - 1411200*li4half*ln2^4 - 20440*ln2^8 - 
    14313600*ln2^2*s6 - 4838400*ln2*s7a - 47174400*ln2*s7b + 70389900*s8a + 
    292924800*s8b + 63705600*s8c + 15321600*s8d - 33868800*li6half*z2 - 
    22579200*li5half*ln2*z2 + 109760*ln2^6*z2 - 98380800*s6*z2 + 
    17458560*li4half*z2^2 + 386400*ln2^4*z2^2 - 1915200*ln2^2*z2^3 + 
    2824632*z2^4 - 16531200*li5half*z3 - 21168000*li4half*ln2*z3 - 
    673680*ln2^5*z3 + 2268000*ln2^3*z2*z3 - 17927280*ln2*z2^2*z3 - 
    10155600*ln2^2*z3^2 - 58980600*z2*z3^2 + 36338400*ln2^3*z5 - 
    34637400*ln2*z2*z5 + 100141650*z3*z5 - 155696625*ln2*z7)/11289600, 
 H[-1, 1, 1, 1, -1, 1, 0, -1, 1] -> 
  (-18063360*li4half^2 + 110638080*li8half + 63221760*li7half*ln2 + 
    20321280*li6half*ln2^2 + 4515840*li5half*ln2^3 - 846720*li4half*ln2^4 - 
    23128*ln2^8 - 5846400*ln2^2*s6 + 80640*ln2*s7a - 23627520*ln2*s7b + 
    35011935*s8a + 183153600*s8b + 27336960*s8c + 11612160*s8d - 
    27095040*li6half*z2 - 18063360*li5half*ln2*z2 + 
    3386880*li4half*ln2^2*z2 + 230496*ln2^6*z2 - 53424000*s6*z2 + 
    12652416*li4half*z2^2 - 286608*ln2^4*z2^2 - 2060352*ln2^2*z2^3 - 
    6112656*z2^4 + 1330560*li5half*z3 - 16087680*li4half*ln2*z3 - 
    620256*ln2^5*z3 + 3192000*ln2^3*z2*z3 - 3698856*ln2*z2^2*z3 - 
    5719140*ln2^2*z3^2 - 25080300*z2*z3^2 + 20732880*ln2^3*z5 - 
    645120*ln2*z2*z5 + 6297165*z3*z5 - 149092335*ln2*z7)/2257920, 
 H[-1, 1, 1, 1, -1, 1, -1, 1, 1] -> 
  (649152000*li8half + 282240000*li7half*ln2 + 42336000*li6half*ln2^2 + 
    18200*ln2^8 - 103320000*ln2^2*s6 + 68544000*ln2*s7a + 26208000*ln2*s7b + 
    92214675*s8a + 1008504000*s8b + 48384000*s8c + 128016000*s8d - 
    42336000*li6half*z2 - 196000*ln2^6*z2 - 333648000*s6*z2 + 
    25603200*li4half*z2^2 + 1948800*ln2^4*z2^2 + 24998400*ln2^2*z2^3 - 
    36647172*z2^4 - 256032000*li5half*z3 + 2545200*ln2^5*z3 - 
    25452000*ln2^3*z2*z3 - 134265600*ln2*z2^2*z3 + 56605500*ln2^2*z3^2 - 
    52825500*z2*z3^2 + 49539000*ln2^3*z5 - 246393000*ln2*z2*z5 + 
    18183375*z3*z5 - 95059125*ln2*z7)/28224000, 
 H[-1, 1, 1, 1, -1, 1, -1, 0, 1] -> 
  (-658560000*li8half - 357504000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 15400*ln2^8 + 82320000*ln2^2*s6 - 
    50400000*ln2*s7a + 1344000*ln2*s7b - 105986475*s8a - 917448000*s8b - 
    63840000*s8c - 86688000*s8d + 18816000*li6half*z2 - 39200*ln2^6*z2 + 
    227472000*s6*z2 - 17337600*li4half*z2^2 - 1153600*ln2^4*z2^2 - 
    19336800*ln2^2*z2^3 + 31560624*z2^4 + 180432000*li5half*z3 - 
    1346800*ln2^5*z3 + 16212000*ln2^3*z2*z3 + 108927000*ln2*z2^2*z3 - 
    33442500*ln2^2*z3^2 + 74119500*z2*z3^2 - 51548000*ln2^3*z5 + 
    193599000*ln2*z2*z5 + 25354875*z3*z5 + 378761250*ln2*z7)/18816000, 
 H[-1, 1, 1, 1, -1, 1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 1128960000*li8half - 395136000*li7half*ln2 + 
    28224000*li5half*ln2^3 - 36400*ln2^8 + 188496000*ln2^2*s6 - 
    100800000*ln2*s7a + 26208000*ln2*s7b - 260566425*s8a - 2412648000*s8b - 
    175392000*s8c - 219744000*s8d - 84672000*li5half*ln2*z2 + 
    392000*ln2^6*z2 + 637056000*s6*z2 - 43948800*li4half*z2^2 - 
    3595200*ln2^4*z2^2 - 44553600*ln2^2*z2^3 + 19853472*z2^4 + 
    587664000*li5half*z3 - 4485600*ln2^5*z3 + 44856000*ln2^3*z2*z3 + 
    261462600*ln2*z2^2*z3 - 90531000*ln2^2*z3^2 + 172116000*z2*z3^2 - 
    126420000*ln2^3*z5 + 455364000*ln2*z2*z5 + 19081125*z3*z5 + 
    1145032875*ln2*z7)/56448000, H[-1, 1, 1, 1, -1, 0, 1, 1, 1] -> 
  (2032128000*li8half + 903168000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 47600*ln2^8 - 
    59472000*ln2^2*s6 + 12096000*ln2*s7a + 82656000*ln2*s7b + 110388600*s8a + 
    1324512000*s8b + 24192000*s8c + 116928000*s8d - 169344000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 548800*ln2^6*z2 - 
    269136000*s6*z2 + 16329600*li4half*z2^2 + 2738400*ln2^4*z2^2 + 
    16228800*ln2^2*z2^3 - 112661424*z2^4 - 247968000*li5half*z3 - 
    7056000*li4half*ln2*z3 + 1713600*ln2^5*z3 - 18312000*ln2^3*z2*z3 - 
    112266000*ln2*z2^2*z3 - 10552500*ln2^2*z3^2 - 28507500*z2*z3^2 - 
    102018000*ln2^3*z5 - 216594000*ln2*z2*z5 - 388221750*z3*z5 - 
    462191625*ln2*z7)/56448000, H[-1, 1, 1, 1, -1, 0, 1, 0, 1] -> 
  (-42336000*li4half^2 - 677376000*li8half - 225792000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 8232000*li4half*ln2^4 - 
    163100*ln2^8 - 14616000*ln2^2*s6 + 6048000*ln2*s7a - 78624000*ln2*s7b - 
    34501950*s8a - 280728000*s8b + 38304000*s8c - 10080000*s8d + 
    84672000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1372000*ln2^6*z2 + 62496000*s6*z2 + 
    29736000*li4half*z2^2 - 1083600*ln2^4*z2^2 + 4023600*ln2^2*z2^3 + 
    31602108*z2^4 + 90720000*li5half*z3 - 31752000*li4half*ln2*z3 - 
    2431800*ln2^5*z3 + 17556000*ln2^3*z2*z3 + 50526000*ln2*z2^2*z3 + 
    5701500*ln2^2*z3^2 - 58716000*z2*z3^2 + 101062500*ln2^3*z5 - 
    11844000*ln2*z2*z5 + 227469375*z3*z5 - 27712125*ln2*z7)/28224000, 
 H[-1, 1, 1, 1, -1, 0, 1, -1, 1] -> 
  (-830592000*li8half - 387072000*li7half*ln2 - 120960000*li6half*ln2^2 - 
    24192000*li5half*ln2^3 - 1680000*li4half*ln2^4 + 19800*ln2^8 + 
    17424000*ln2^2*s6 - 56736000*ln2*s7a + 38016000*ln2*s7b - 130720275*s8a - 
    1113336000*s8b - 46368000*s8c - 120960000*s8d + 120960000*li6half*z2 + 
    48384000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 532000*ln2^6*z2 + 
    388080000*s6*z2 - 11894400*li4half*z2^2 + 4846800*ln2^4*z2^2 + 
    1634400*ln2^2*z2^3 + 44554896*z2^4 + 156240000*li5half*z3 - 
    20160000*li4half*ln2*z3 - 2251200*ln2^5*z3 + 13860000*ln2^3*z2*z3 + 
    86405400*ln2*z2^2*z3 - 42066000*ln2^2*z3^2 + 49203000*z2*z3^2 - 
    56385000*ln2^3*z5 - 71541000*ln2*z2*z5 + 76017375*z3*z5 + 
    688452750*ln2*z7)/8064000, H[-1, 1, 1, 1, -1, 0, 0, 1, 1] -> 
  (84672000*li4half^2 - 451584000*li8half - 225792000*li7half*ln2 + 
    18816000*li5half*ln2^3 + 11760000*li4half*ln2^4 + 219800*ln2^8 - 
    32256000*ln2^2*s6 + 12096000*ln2*s7a - 171360000*ln2*s7b + 
    342307350*s8a + 866880000*s8b + 237888000*s8c + 16128000*s8d + 
    338688000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 116928000*s6*z2 - 
    111081600*li4half*z2^2 - 7803600*ln2^4*z2^2 + 33936000*ln2^2*z2^3 - 
    6594144*z2^4 - 187488000*li5half*z3 + 84672000*li4half*ln2*z3 + 
    5443200*ln2^5*z3 - 25032000*ln2^3*z2*z3 - 199785600*ln2*z2^2*z3 + 
    29074500*ln2^2*z3^2 - 300793500*z2*z3^2 + 127743000*ln2^3*z5 - 
    329805000*ln2*z2*z5 + 768867750*z3*z5 - 681809625*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, -1, 0, 0, 0, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 + 4435200*ln2^2*s6 + 
    11289600*ln2*s7b - 17597475*s8a - 73231200*s8b - 15926400*s8c - 
    3830400*s8d + 2822400*li5half*ln2*z2 - 23520*ln2^6*z2 + 18950400*s6*z2 - 
    3517920*li4half*z2^2 - 46620*ln2^4*z2^2 - 400680*ln2^2*z2^3 + 
    345186*z2^4 + 10483200*li5half*z3 + 5644800*li4half*ln2*z3 + 
    147840*ln2^5*z3 - 361200*ln2^3*z2*z3 + 6814080*ln2*z2^2*z3 + 
    1886850*ln2^2*z3^2 + 16608375*z2*z3^2 - 9599100*ln2^3*z5 + 
    12896100*ln2*z2*z5 - 32571000*z3*z5 + 47672100*ln2*z7)/2822400, 
 H[-1, 1, 1, 1, -1, 0, 0, -1, 1] -> (48384000*li4half^2 + 80640000*li8half + 
    32256000*li7half*ln2 - 2688000*li5half*ln2^3 + 3360000*li4half*ln2^4 + 
    74000*ln2^8 - 28080000*ln2^2*s6 + 39168000*ln2*s7a + 16992000*ln2*s7b + 
    20344275*s8a + 221256000*s8b - 2016000*s8c + 28224000*s8d + 
    24192000*li6half*z2 + 24192000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 733600*ln2^6*z2 - 69552000*s6*z2 - 
    31248000*li4half*z2^2 + 756000*ln2^4*z2^2 + 15391200*ln2^2*z2^3 + 
    1263264*z2^4 - 100800000*li5half*z3 + 58464000*li4half*ln2*z3 + 
    3225600*ln2^5*z3 - 21420000*ln2^3*z2*z3 - 62328600*ln2*z2^2*z3 + 
    44865000*ln2^2*z3^2 - 3559500*z2*z3^2 + 15603000*ln2^3*z5 - 
    45189000*ln2*z2*z5 + 26278875*z3*z5 - 51523875*ln2*z7)/8064000, 
 H[-1, 1, 1, 1, -1, 0, -1, 1, 1] -> 
  (2540160000*li8half + 1072512000*li7half*ln2 + 508032000*li6half*ln2^2 + 
    131712000*li5half*ln2^3 + 7056000*li4half*ln2^4 - 247800*ln2^8 + 
    207648000*ln2^2*s6 - 2016000*ln2*s7a - 171360000*ln2*s7b + 
    437827950*s8a + 2906064000*s8b + 96768000*s8c + 368928000*s8d - 
    508032000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 4978400*ln2^6*z2 - 1224720000*s6*z2 + 
    1814400*li4half*z2^2 - 41672400*ln2^4*z2^2 - 67687200*ln2^2*z2^3 - 
    216370368*z2^4 - 229824000*li5half*z3 + 42336000*li4half*ln2*z3 + 
    2914800*ln2^5*z3 + 14952000*ln2^3*z2*z3 - 108057600*ln2*z2^2*z3 - 
    21861000*ln2^2*z3^2 - 172683000*z2*z3^2 + 10878000*ln2^3*z5 + 
    606438000*ln2*z2*z5 + 83994750*z3*z5 - 1937336625*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, -1, 0, -1, 0, 1] -> 
  (-22579200*li4half^2 - 270950400*li8half - 90316800*li7half*ln2 - 
    22579200*li6half*ln2^2 - 7526400*li5half*ln2^3 - 3763200*li4half*ln2^4 - 
    75040*ln2^8 + 40118400*ln2^2*s6 - 12096000*ln2*s7a + 38707200*ln2*s7b - 
    139949775*s8a - 675057600*s8b - 95558400*s8c - 45561600*s8d - 
    33868800*li6half*z2 - 11289600*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 + 525280*ln2^6*z2 + 161683200*s6*z2 + 
    3024000*li4half*z2^2 - 168000*ln2^4*z2^2 - 9824640*ln2^2*z2^3 + 
    25415808*z2^4 + 153216000*li5half*z3 - 5644800*li4half*ln2*z3 - 
    1700160*ln2^5*z3 + 13356000*ln2^3*z2*z3 + 93842280*ln2*z2^2*z3 - 
    6841800*ln2^2*z3^2 + 110609100*z2*z3^2 - 34045200*ln2^3*z5 + 
    168915600*ln2*z2*z5 - 201588975*z3*z5 + 250677000*ln2*z7)/11289600, 
 H[-1, 1, 1, 1, -1, 0, -1, -1, 1] -> 
  (84672000*li4half^2 + 1128960000*li8half + 733824000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 205800*ln2^8 - 223776000*ln2^2*s6 + 
    185472000*ln2*s7a - 40320000*ln2*s7b + 260566425*s8a + 2412648000*s8b + 
    175392000*s8c + 219744000*s8d - 84672000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 2273600*ln2^6*z2 - 
    700560000*s6*z2 + 22780800*li4half*z2^2 + 9651600*ln2^4*z2^2 + 
    67082400*ln2^2*z2^3 - 6400872*z2^4 - 425376000*li5half*z3 + 
    155232000*li4half*ln2*z3 + 9954000*ln2^5*z3 - 73668000*ln2^3*z2*z3 - 
    258111000*ln2*z2^2*z3 + 153153000*ln2^2*z3^2 - 147199500*z2*z3^2 + 
    185073000*ln2^3*z5 - 299691000*ln2*z2*z5 - 179494875*z3*z5 - 
    1416523500*ln2*z7)/56448000, H[-1, 1, 1, 1, -1, -1, 1, 1, 1] -> 
  (11289600*li8half + 2257920*li7half*ln2 - 224*ln2^8 - 2338560*ln2^2*s6 + 
    1612800*ln2*s7a + 2177280*ln2*s7b + 4561200*s8a + 23304960*s8b + 
    1451520*s8c + 4193280*s8d + 3136*ln2^6*z2 - 11208960*s6*z2 + 
    838656*li4half*z2^2 + 34944*ln2^4*z2^2 + 1254624*ln2^2*z2^3 - 
    2007960*z2^4 - 8386560*li5half*z3 + 53424*ln2^5*z3 - 534240*ln2^3*z2*z3 - 
    4722480*ln2*z2^2*z3 + 250740*ln2^2*z3^2 - 779940*z2*z3^2 - 
    2598960*ln2^3*z5 - 4611600*ln2*z2*z5 + 5263650*z3*z5 + 10305225*ln2*z7)/
   2257920, H[-1, 1, 1, 1, -1, -1, 1, 0, 1] -> 
  (28224000*li4half^2 - 931392000*li8half - 508032000*li7half*ln2 - 
    127008000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 9100*ln2^8 + 
    164808000*ln2^2*s6 - 103824000*ln2*s7a + 171360000*ln2*s7b - 
    426928950*s8a - 2255400000*s8b - 270144000*s8c - 202608000*s8d + 
    112896000*li6half*z2 + 56448000*li5half*ln2*z2 - 137200*ln2^6*z2 + 
    719208000*s6*z2 - 40521600*li4half*z2^2 - 1159200*ln2^4*z2^2 - 
    40773600*ln2^2*z2^3 + 61543128*z2^4 + 306432000*li5half*z3 - 
    2935800*ln2^5*z3 + 27300000*ln2^3*z2*z3 + 228412800*ln2*z2^2*z3 - 
    67866750*ln2^2*z3^2 + 264237750*z2*z3^2 - 236817000*ln2^3*z5 + 
    132205500*ln2*z2*z5 - 313621875*z3*z5 + 1396450125*ln2*z7)/28224000, 
 H[-1, 1, 1, 1, -1, -1, 1, -1, 1] -> 
  (84672000*li4half^2 - 451584000*li8half - 225792000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 5600*ln2^8 + 
    49392000*ln2^2*s6 - 22176000*ln2*s7a + 133056000*ln2*s7b - 
    349661025*s8a - 1547784000*s8b - 223776000*s8c - 86688000*s8d + 
    84672000*li6half*z2 + 84672000*li5half*ln2*z2 - 78400*ln2^6*z2 + 
    413280000*s6*z2 - 17337600*li4half*z2^2 - 722400*ln2^4*z2^2 - 
    28644000*ln2^2*z2^3 - 24384*z2^4 + 25200000*li5half*z3 - 
    1033200*ln2^5*z3 + 10332000*ln2^3*z2*z3 + 152497800*ln2*z2^2*z3 + 
    5071500*ln2^2*z3^2 + 219649500*z2*z3^2 - 44394000*ln2^3*z5 - 
    42336000*ln2*z2*z5 - 125503875*z3*z5 + 1450795500*ln2*z7)/56448000, 
 H[-1, 1, 1, 1, -1, -1, 0, 1, 1] -> (10080000*li8half - 6048000*li7half*ln2 - 
    5040000*li6half*ln2^2 - 1008000*li5half*ln2^3 + 2850*ln2^8 - 
    11556000*ln2^2*s6 + 2736000*ln2*s7a - 10368000*ln2*s7b + 25116525*s8a + 
    116172000*s8b + 21168000*s8c + 6048000*s8d + 11088000*li6half*z2 + 
    5040000*li5half*ln2*z2 - 40600*ln2^6*z2 - 21420000*s6*z2 + 
    1209600*li4half*z2^2 + 279300*ln2^4*z2^2 + 2134800*ln2^2*z2^3 + 
    209154*z2^4 - 18648000*li5half*z3 + 165900*ln2^5*z3 - 
    1953000*ln2^3*z2*z3 - 15818400*ln2*z2^2*z3 + 1876500*ln2^2*z3^2 - 
    24207750*z2*z3^2 + 13303500*ln2^3*z5 - 44482500*ln2*z2*z5 + 
    35957250*z3*z5 - 47505375*ln2*z7)/2016000, 
 H[-1, 1, 1, 1, -1, -1, 0, 0, 1] -> 
  (22579200*li8half + 67737600*li7half*ln2 + 33868800*li6half*ln2^2 + 
    7526400*li5half*ln2^3 + 940800*li4half*ln2^4 + 10640*ln2^8 + 
    18144000*ln2^2*s6 - 2822400*ln2*s7a - 2822400*ln2*s7b - 15885450*s8a - 
    142329600*s8b - 13708800*s8c - 22982400*s8d + 16934400*li6half*z2 + 
    5644800*li5half*ln2*z2 - 70560*ln2^6*z2 + 81244800*s6*z2 - 
    3467520*li4half*z2^2 + 196560*ln2^4*z2^2 - 3114720*ln2^2*z2^3 + 
    194976*z2^4 + 37497600*li5half*z3 - 2822400*li4half*ln2*z3 - 
    336000*ln2^5*z3 + 3007200*ln2^3*z2*z3 + 24444000*ln2*z2^2*z3 - 
    5128200*ln2^2*z3^2 + 14735700*z2*z3^2 - 8996400*ln2^3*z5 + 
    54709200*ln2*z2*z5 - 70953750*z3*z5 - 113237775*ln2*z7)/11289600, 
 H[-1, 1, 1, 1, -1, -1, 0, -1, 1] -> 
  (-16934400*li4half^2 - 474163200*li8half - 237081600*li7half*ln2 - 
    62092800*li6half*ln2^2 - 9408000*li5half*ln2^3 - 1411200*li4half*ln2^4 - 
    1960*ln2^8 + 62496000*ln2^2*s6 - 66931200*ln2*s7a + 20563200*ln2*s7b - 
    93424275*s8a - 811944000*s8b - 39110400*s8c - 124588800*s8d + 
    79027200*li6half*z2 + 33868800*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 + 23520*ln2^6*z2 + 371952000*s6*z2 - 
    20684160*li4half*z2^2 + 31920*ln2^4*z2^2 - 13648320*ln2^2*z2^3 + 
    50421936*z2^4 + 204019200*li5half*z3 - 29635200*li4half*ln2*z3 - 
    2664480*ln2^5*z3 + 20882400*ln2^3*z2*z3 + 92284920*ln2*z2^2*z3 - 
    61141500*ln2^2*z3^2 + 42210000*z2*z3^2 - 83613600*ln2^3*z5 + 
    22705200*ln2*z2*z5 - 133013475*z3*z5 + 136421775*ln2*z7)/11289600, 
 H[-1, 1, 1, 1, -1, -1, -1, 1, 1] -> 
  (-161280*li4half^2 + 967680*li7half*ln2 + 483840*li6half*ln2^2 + 
    107520*li5half*ln2^3 - 128*ln2^8 + 426240*ln2^2*s6 + 57600*ln2*s7a - 
    910080*ln2*s7b + 483840*s8a - 483840*li6half*z2 - 322560*li5half*ln2*z2 + 
    1344*ln2^6*z2 - 483840*s6*z2 - 6720*ln2^4*z2^2 - 157920*ln2^2*z2^3 - 
    197760*z2^4 + 564480*li5half*z3 - 2352*ln2^5*z3 + 23520*ln2^3*z2*z3 + 
    383616*ln2*z2^2*z3 + 325260*ln2^2*z3^2 - 253260*z2*z3^2 + 
    892080*ln2^3*z5 + 3323520*ln2*z2*z5 + 1213380*z3*z5 - 5554665*ln2*z7)/
   322560, H[-1, 1, 1, 1, -1, -1, -1, 0, 1] -> 
  (564480000*li8half + 282240000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    3136000*li5half*ln2^3 - 784000*li4half*ln2^4 - 22400*ln2^8 - 
    105168000*ln2^2*s6 + 59808000*ln2*s7a - 53088000*ln2*s7b + 
    169154475*s8a + 1215480000*s8b + 118944000*s8c + 125664000*s8d - 
    56448000*li6half*z2 - 18816000*li5half*ln2*z2 + 156800*ln2^6*z2 - 
    387744000*s6*z2 + 24192000*li4half*z2^2 + 655200*ln2^4*z2^2 + 
    26006400*ln2^2*z2^3 - 25905224*z2^4 - 216048000*li5half*z3 + 
    2352000*li4half*ln2*z3 + 1741600*ln2^5*z3 - 17024000*ln2^3*z2*z3 - 
    130372200*ln2*z2^2*z3 + 40393500*ln2^2*z3^2 - 110302500*z2*z3^2 + 
    112308000*ln2^3*z5 - 159432000*ln2*z2*z5 + 82348875*z3*z5 - 
    563779125*ln2*z7)/18816000, H[-1, 1, 1, 1, -1, -1, -1, -1, 1] -> 
  (56448000*li8half - 112896000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 22400*ln2^8 - 65520000*ln2^2*s6 - 
    28224000*ln2*s7a + 160418475*s8a + 802872000*s8b + 159264000*s8c - 
    18144000*s8d + 56448000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    235200*ln2^6*z2 - 20160000*s6*z2 - 3628800*li4half*z2^2 + 
    1024800*ln2^4*z2^2 + 24914400*ln2^2*z2^3 + 63255816*z2^4 - 
    13104000*li5half*z3 + 109200*ln2^5*z3 - 1092000*ln2^3*z2*z3 - 
    94336200*ln2*z2^2*z3 - 68260500*ln2^2*z3^2 - 140836500*z2*z3^2 - 
    64974000*ln2^3*z5 - 450450000*ln2*z2*z5 - 98146125*z3*z5 - 
    469885500*ln2*z7)/56448000, H[-1, 1, 1, 0, 1, 1, 1, 1, 1] -> 
  (2419200*li4half^2 - 33868800*li8half - 24192000*li7half*ln2 - 
    8064000*li6half*ln2^2 - 1612800*li5half*ln2^3 + 2000*ln2^8 - 
    1008000*ln2^2*s6 + 1901025*s8a - 12600000*s8b + 2016000*s8c - 
    2016000*s8d + 8064000*li6half*z2 + 4838400*li5half*ln2*z2 - 
    22400*ln2^6*z2 + 4032000*s6*z2 - 403200*li4half*z2^2 + 67200*ln2^4*z2^2 + 
    50400*ln2^2*z2^3 + 1030824*z2^4 - 4435200*li5half*z3 + 25200*ln2^5*z3 - 
    252000*ln2^3*z2*z3 - 2230200*ln2*z2^2*z3 - 283500*ln2^2*z3^2 - 
    1291500*z2*z3^2 + 268800*ln2^3*z5 - 6854400*ln2*z2*z5 + 13782825*z3*z5 + 
    24192000*ln2*z7)/1612800, H[-1, 1, 1, 0, 1, 1, 1, 0, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    128016000*ln2^2*s6 - 58464000*ln2*s7a + 12096000*ln2*s7b - 
    214715025*s8a - 997416000*s8b - 139104000*s8c - 72576000*s8d - 
    141120000*li6half*z2 - 84672000*li5half*ln2*z2 + 509600*ln2^6*z2 + 
    250992000*s6*z2 - 18748800*li4half*z2^2 - 2251200*ln2^4*z2^2 - 
    35112000*ln2^2*z2^3 + 6562056*z2^4 + 314496000*li5half*z3 + 
    10584000*li4half*ln2*z3 - 2179800*ln2^5*z3 + 26208000*ln2^3*z2*z3 + 
    172809000*ln2*z2^2*z3 - 27058500*ln2^2*z3^2 + 140269500*z2*z3^2 - 
    82467000*ln2^3*z5 + 365463000*ln2*z2*z5 - 289445625*z3*z5 + 
    259339500*ln2*z7)/28224000, H[-1, 1, 1, 0, 1, 1, 1, -1, 1] -> 
  (774144000*li8half + 120960000*li7half*ln2 + 24192000*li6half*ln2^2 + 
    10752000*li5half*ln2^3 + 672000*li4half*ln2^4 - 32800*ln2^8 - 
    16272000*ln2^2*s6 - 14976000*ln2*s7a + 15264000*ln2*s7b + 117435150*s8a + 
    833616000*s8b + 80640000*s8c + 56448000*s8d - 24192000*li6half*z2 - 
    32256000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 + 593600*ln2^6*z2 - 
    190512000*s6*z2 + 9273600*li4half*z2^2 - 6283200*ln2^4*z2^2 - 
    22608000*ln2^2*z2^3 - 51289416*z2^4 - 106848000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 1537200*ln2^5*z3 - 10080000*ln2^3*z2*z3 - 
    94654800*ln2*z2^2*z3 - 26847000*ln2^2*z3^2 - 82971000*z2*z3^2 - 
    29337000*ln2^3*z5 - 287577000*ln2*z2*z5 - 29751750*z3*z5 + 
    153221625*ln2*z7)/8064000, H[-1, 1, 1, 0, 1, 1, 0, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 - 
    65520000*ln2^2*s6 + 36288000*ln2*s7a + 247968000*ln2*s7b - 
    130847850*s8a - 118944000*s8b - 153216000*s8c + 153216000*s8d - 
    564480000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 274400*ln2^6*z2 - 412272000*s6*z2 + 
    111081600*li4half*z2^2 + 4040400*ln2^4*z2^2 + 41882400*ln2^2*z2^3 + 
    5959944*z2^4 - 94752000*li5half*z3 - 42336000*li4half*ln2*z3 - 
    974400*ln2^5*z3 - 24360000*ln2^3*z2*z3 + 8593200*ln2*z2^2*z3 - 
    10048500*ln2^2*z3^2 + 134095500*z2*z3^2 - 162729000*ln2^3*z5 - 
    63693000*ln2*z2*z5 + 147750750*z3*z5 + 1322929125*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, 1, 1, 0, 0, 1] -> (8568000*ln2^2*s6 - 8736000*ln2*s7a - 
    4032000*ln2*s7b - 232050*s8a - 34524000*s8b + 336000*s8c - 14448000*s8d + 
    27132000*s6*z2 + 3813600*li4half*z2^2 + 158900*ln2^4*z2^2 - 
    5180000*ln2^2*z2^3 + 1745222*z2^4 + 7728000*li5half*z3 - 
    10584000*li4half*ln2*z3 - 505400*ln2^5*z3 + 4074000*ln2^3*z2*z3 + 
    7093800*ln2*z2^2*z3 - 7733250*ln2^2*z3^2 + 7483875*z2*z3^2 - 
    4949000*ln2^3*z5 + 22449000*ln2*z2*z5 - 26145000*z3*z5 - 45341625*ln2*z7)/
   4704000, H[-1, 1, 1, 0, 1, 1, 0, -1, 1] -> 
  (-338688000*li4half^2 - 28224000*li4half*ln2^4 - 588000*ln2^8 + 
    103824000*ln2^2*s6 - 36288000*ln2*s7a - 247968000*ln2*s7b + 
    166732650*s8a + 1266048000*s8b + 76608000*s8c + 135072000*s8d - 
    282240000*li6half*z2 - 169344000*li5half*ln2*z2 + 
    127008000*li4half*ln2^2*z2 + 6311200*ln2^6*z2 - 587664000*s6*z2 + 
    306432000*li4half*z2^2 - 6048000*ln2^4*z2^2 - 77817600*ln2^2*z2^3 + 
    13297464*z2^4 - 185472000*li5half*z3 - 550368000*li4half*ln2*z3 - 
    21386400*ln2^5*z3 + 116256000*ln2^3*z2*z3 + 169999200*ln2*z2^2*z3 - 
    121180500*ln2^2*z3^2 - 17325000*z2*z3^2 + 144501000*ln2^3*z5 + 
    856233000*ln2*z2*z5 - 32476500*z3*z5 - 2247044625*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, 1, 1, -1, 1, 1] -> 
  (-1935360000*li8half + 48384000*li7half*ln2 + 88704000*li6half*ln2^2 + 
    5376000*li5half*ln2^3 + 2016000*li4half*ln2^4 + 104800*ln2^8 + 
    221616000*ln2^2*s6 + 29376000*ln2*s7a + 11232000*ln2*s7b - 
    699281100*s8a - 4281984000*s8b - 495936000*s8c - 350784000*s8d - 
    88704000*li6half*z2 - 16128000*li5half*ln2*z2 - 
    12096000*li4half*ln2^2*z2 - 1859200*ln2^6*z2 + 1121904000*s6*z2 - 
    68947200*li4half*z2^2 + 18916800*ln2^4*z2^2 - 4003200*ln2^2*z2^3 + 
    123412824*z2^4 + 729792000*li5half*z3 + 12096000*li4half*ln2*z3 - 
    5577600*ln2^5*z3 + 48972000*ln2^3*z2*z3 + 536454000*ln2*z2^2*z3 + 
    88569000*ln2^2*z3^2 + 528759000*z2*z3^2 + 18186000*ln2^3*z5 + 
    1453554000*ln2*z2*z5 - 506252250*z3*z5 + 31836375*ln2*z7)/8064000, 
 H[-1, 1, 1, 0, 1, 1, -1, 0, 1] -> (-2016000*li4half^2 + 967680000*li8half + 
    193536000*li7half*ln2 - 2688000*li5half*ln2^3 - 168000*li4half*ln2^4 + 
    4500*ln2^8 - 140616000*ln2^2*s6 + 16128000*ln2*s7a - 50400000*ln2*s7b + 
    349640550*s8a + 2140992000*s8b + 247968000*s8c + 175392000*s8d + 
    20160000*li6half*z2 + 12096000*li5half*ln2*z2 + 
    6048000*li4half*ln2^2*z2 + 89600*ln2^6*z2 - 569520000*s6*z2 + 
    37296000*li4half*z2^2 - 2805600*ln2^4*z2^2 + 21540000*ln2^2*z2^3 - 
    58778652*z2^4 - 372960000*li5half*z3 - 23688000*li4half*ln2*z3 + 
    2121000*ln2^5*z3 - 24066000*ln2^3*z2*z3 - 251357400*ln2*z2^2*z3 - 
    9812250*ln2^2*z3^2 - 261796500*z2*z3^2 + 65488500*ln2^3*z5 - 
    597618000*ln2*z2*z5 + 261631125*z3*z5 - 451024875*ln2*z7)/4032000, 
 H[-1, 1, 1, 0, 1, 1, -1, -1, 1] -> 
  (-508032000*li4half^2 + 9878400000*li8half - 338688000*li7half*ln2 - 
    508032000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    49392000*li4half*ln2^4 - 1412600*ln2^8 - 868896000*ln2^2*s6 - 
    350784000*ln2*s7a - 181440000*ln2*s7b + 3373399575*s8a + 
    21107016000*s8b + 2368800000*s8c + 1751904000*s8d + 
    225792000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    296352000*li4half*ln2^2*z2 + 19404000*ln2^6*z2 - 5528880000*s6*z2 + 
    735638400*li4half*z2^2 - 102354000*ln2^4*z2^2 - 116776800*ln2^2*z2^3 - 
    654943608*z2^4 - 3390912000*li5half*z3 - 825552000*li4half*ln2*z3 - 
    6140400*ln2^5*z3 - 49728000*ln2^3*z2*z3 - 2197175400*ln2*z2^2*z3 - 
    741384000*ln2^2*z3^2 - 2557831500*z2*z3^2 - 191100000*ln2^3*z5 - 
    6497568000*ln2*z2*z5 + 2084536125*z3*z5 - 1441881000*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, 1, 0, 1, 1, 1] -> (-42336000*li4half^2 + 1128960000*li8half + 
    677376000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 101500*ln2^8 + 
    83160000*ln2^2*s6 - 120960000*ln2*s7a - 163296000*ln2*s7b + 
    84300300*s8a + 439992000*s8b + 96768000*s8c - 96768000*s8d - 
    169344000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 1195600*ln2^6*z2 + 182952000*s6*z2 - 
    8769600*li4half*z2^2 - 4187400*ln2^4*z2^2 - 39160800*ln2^2*z2^3 - 
    17101872*z2^4 + 348768000*li5half*z3 + 10584000*li4half*ln2*z3 - 
    2465400*ln2^5*z3 + 40530000*ln2^3*z2*z3 + 92395800*ln2*z2^2*z3 - 
    52132500*ln2^2*z3^2 - 100579500*z2*z3^2 + 35647500*ln2^3*z5 + 
    206797500*ln2*z2*z5 - 458710875*z3*z5 - 1619611875*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, 1, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    81984000*ln2^2*s6 + 75264000*ln2*s7a + 37632000*ln2*s7b + 78984150*s8a + 
    497112000*s8b + 13440000*s8c + 99456000*s8d + 56448000*li6half*z2 + 
    18816000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1254400*ln2^6*z2 - 
    251832000*s6*z2 - 16094400*li4half*z2^2 + 3249400*ln2^4*z2^2 + 
    35028000*ln2^2*z2^3 - 23473176*z2^4 - 274176000*li5half*z3 + 
    42336000*li4half*ln2*z3 + 4048800*ln2^5*z3 - 36568000*ln2^3*z2*z3 - 
    128851800*ln2*z2^2*z3 + 65142000*ln2^2*z3^2 - 29263500*z2*z3^2 + 
    39592000*ln2^3*z5 - 129181500*ln2*z2*z5 + 263051250*z3*z5 + 
    189758625*ln2*z7)/9408000, H[-1, 1, 1, 0, 1, 0, 1, -1, 1] -> 
  (84672000*li4half^2 - 846720000*li8half - 338688000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 
    252000*ln2^8 - 47124000*ln2^2*s6 + 106848000*ln2*s7a + 
    128016000*ln2*s7b - 101976525*s8a - 299628000*s8b - 186480000*s8c + 
    175896000*s8d + 84672000*li6half*z2 + 70560000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 - 607600*ln2^6*z2 - 312984000*s6*z2 - 
    31147200*li4half*z2^2 + 642600*ln2^4*z2^2 + 62445600*ln2^2*z2^3 - 
    16548804*z2^4 - 323568000*li5half*z3 + 118188000*li4half*ln2*z3 + 
    7620900*ln2^5*z3 - 28140000*ln2^3*z2*z3 - 99168300*ln2*z2^2*z3 + 
    152617500*ln2^2*z3^2 + 118471500*z2*z3^2 - 33773250*ln2^3*z5 + 
    214924500*ln2*z2*z5 + 480776625*z3*z5 + 769749750*ln2*z7)/14112000, 
 H[-1, 1, 1, 0, 1, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    71232000*ln2^2*s6 + 44352000*ln2*s7a - 35616000*ln2*s7b + 91140525*s8a + 
    585480000*s8b + 86688000*s8c + 54432000*s8d + 112896000*li6half*z2 + 
    37632000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 431200*ln2^6*z2 - 
    155904000*s6*z2 + 27820800*li4half*z2^2 + 179200*ln2^4*z2^2 + 
    7772800*ln2^2*z2^3 - 6113936*z2^4 - 113568000*li5half*z3 - 
    21168000*li4half*ln2*z3 + 64400*ln2^5*z3 - 7308000*ln2^3*z2*z3 - 
    73722600*ln2*z2^2*z3 + 18480000*ln2^2*z3^2 - 83979000*z2*z3^2 + 
    84525000*ln2^3*z5 - 184842000*ln2*z2*z5 + 100527000*z3*z5 - 
    142511250*ln2*z7)/9408000, H[-1, 1, 1, 0, 1, 0, 0, 0, 1] -> 
  (28896000*ln2^2*s6 - 13440000*ln2*s7a + 5376000*ln2*s7b - 46194225*s8a - 
    248304000*s8b - 30912000*s8c - 25536000*s8d + 87528000*s6*z2 - 
    10046400*li4half*z2^2 - 418600*ln2^4*z2^2 - 9066400*ln2^2*z2^3 - 
    1009396*z2^4 + 65184000*li5half*z3 - 543200*ln2^5*z3 + 
    5432000*ln2^3*z2*z3 + 39442200*ln2*z2^2*z3 - 10101000*ln2^2*z3^2 + 
    26234250*z2*z3^2 - 21364000*ln2^3*z5 + 72828000*ln2*z2*z5 - 
    70838250*z3*z5 + 54581625*ln2*z7)/4704000, 
 H[-1, 1, 1, 0, 1, 0, 0, -1, 1] -> (12902400*ln2^2*s6 - 8870400*ln2*s7a + 
    7123200*ln2*s7b - 26230575*s8a - 164438400*s8b - 14649600*s8c - 
    20160000*s8d + 11289600*li6half*z2 + 3763200*li5half*ln2*z2 - 
    15680*ln2^6*z2 + 65016000*s6*z2 - 4737600*li4half*z2^2 - 
    119000*ln2^4*z2^2 - 5744480*ln2^2*z2^3 - 2329616*z2^4 + 
    41260800*li5half*z3 + 4233600*li4half*ln2*z3 - 167440*ln2^5*z3 + 
    2419200*ln2^3*z2*z3 + 19338480*ln2*z2^2*z3 - 6132000*ln2^2*z3^2 + 
    15250200*z2*z3^2 - 13259400*ln2^3*z5 + 14748300*ln2*z2*z5 - 
    40910625*z3*z5 + 88243050*ln2*z7)/1881600, 
 H[-1, 1, 1, 0, 1, 0, -1, 1, 1] -> 
  (-338688000*li4half^2 - 2032128000*li8half - 1580544000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    37632000*li4half*ln2^4 - 873600*ln2^8 + 399168000*ln2^2*s6 - 
    304416000*ln2*s7a - 36288000*ln2*s7b - 518022225*s8a - 3675672000*s8b - 
    6048000*s8c - 798336000*s8d + 338688000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 862400*ln2^6*z2 + 
    1907136000*s6*z2 + 46368000*li4half*z2^2 - 1125600*ln2^4*z2^2 - 
    253764000*ln2^2*z2^3 + 340536744*z2^4 + 1582560000*li5half*z3 - 
    225792000*li4half*ln2*z3 - 20949600*ln2^5*z3 + 71316000*ln2^3*z2*z3 + 
    626056200*ln2*z2^2*z3 - 406570500*ln2^2*z3^2 + 343003500*z2*z3^2 - 
    221676000*ln2^3*z5 + 32571000*ln2*z2*z5 - 2017126125*z3*z5 + 
    1058746500*ln2*z7)/56448000, H[-1, 1, 1, 0, 1, 0, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    27216000*ln2^2*s6 + 74592000*ln2*s7a + 74592000*ln2*s7b - 31361400*s8a - 
    68544000*s8b - 94752000*s8c + 94752000*s8d - 84672000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 2234400*ln2^6*z2 - 
    194796000*s6*z2 - 42084000*li4half*z2^2 + 4714500*ln2^4*z2^2 + 
    30668400*ln2^2*z2^3 - 42075144*z2^4 - 175392000*li5half*z3 + 
    134064000*li4half*ln2*z3 + 7047600*ln2^5*z3 - 47544000*ln2^3*z2*z3 - 
    57789900*ln2*z2^2*z3 + 96201000*ln2^2*z3^2 + 43170750*z2*z3^2 - 
    4704000*ln2^3*z5 + 89066250*ln2*z2*z5 + 291201750*z3*z5 + 
    532940625*ln2*z7)/14112000, H[-1, 1, 1, 0, 1, 0, -1, -1, 1] -> 
  (296352000*li4half^2 + 1580544000*li8half + 790272000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    24696000*li4half*ln2^4 + 475300*ln2^8 - 264600000*ln2^2*s6 + 
    228816000*ln2*s7a + 94752000*ln2*s7b + 244411650*s8a + 1993824000*s8b + 
    92736000*s8c + 281232000*s8d - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 148176000*li4half*ln2^2*z2 - 5625200*ln2^6*z2 - 
    767088000*s6*z2 - 166723200*li4half*z2^2 + 9223200*ln2^4*z2^2 + 
    106142400*ln2^2*z2^3 - 126144576*z2^4 - 597744000*li5half*z3 + 
    458640000*li4half*ln2*z3 + 23268000*ln2^5*z3 - 154182000*ln2^3*z2*z3 - 
    470547000*ln2*z2^2*z3 + 286870500*ln2^2*z3^2 - 146396250*z2*z3^2 + 
    133623000*ln2^3*z5 - 563598000*ln2*z2*z5 + 428218875*z3*z5 + 
    459144000*ln2*z7)/28224000, H[-1, 1, 1, 0, 1, -1, 1, 1, 1] -> 
  (15128064000*li8half + 508032000*li7half*ln2 - 254016000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 392000*ln2^8 - 2254896000*ln2^2*s6 - 
    72576000*ln2*s7a - 495936000*ln2*s7b + 6381857475*s8a + 38090808000*s8b + 
    4570272000*s8c + 3304224000*s8d + 254016000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 8388800*ln2^6*z2 - 10503360000*s6*z2 + 
    660844800*li4half*z2^2 - 117348000*ln2^4*z2^2 + 294184800*ln2^2*z2^3 - 
    969194664*z2^4 - 6410880000*li5half*z3 + 54658800*ln2^5*z3 - 
    484848000*ln2^3*z2*z3 - 4716948600*ln2*z2^2*z3 - 504535500*ln2^2*z3^2 - 
    4995679500*z2*z3^2 + 414393000*ln2^3*z5 - 12253563000*ln2*z2*z5 + 
    5962469625*z3*z5 - 3153890250*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, 1, -1, 1, 0, 1] -> (12096000*li4half^2 - 3870720000*li8half - 
    774144000*li7half*ln2 + 10752000*li5half*ln2^3 + 1008000*li4half*ln2^4 - 
    11000*ln2^8 + 711648000*ln2^2*s6 - 175392000*ln2*s7a + 
    247968000*ln2*s7b - 1575485100*s8a - 9643536000*s8b - 1112832000*s8c - 
    883008000*s8d + 12096000*li6half*z2 + 24192000*li5half*ln2*z2 + 
    173600*ln2^6*z2 + 2781072000*s6*z2 - 175392000*li4half*z2^2 + 
    5930400*ln2^4*z2^2 - 134479200*ln2^2*z2^3 + 251273424*z2^4 + 
    1709568000*li5half*z3 - 3024000*li4half*ln2*z3 - 14372400*ln2^5*z3 + 
    143640000*ln2^3*z2*z3 + 1165903200*ln2*z2^2*z3 - 66276000*ln2^2*z3^2 + 
    1210797000*z2*z3^2 - 416514000*ln2^3*z5 + 2608704000*ln2*z2*z5 - 
    1526458500*z3*z5 + 1883503125*ln2*z7)/8064000, 
 H[-1, 1, 1, 0, 1, -1, 1, -1, 1] -> 
  (-4558176000*li8half - 127008000*li7half*ln2 + 91728000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 - 1764000*li4half*ln2^4 + 83650*ln2^8 + 
    696780000*ln2^2*s6 - 22680000*ln2*s7a + 30240000*ln2*s7b - 
    1802724525*s8a - 10903536000*s8b - 1281168000*s8c - 980280000*s8d - 
    91728000*li6half*z2 + 42336000*li5half*ln2*z2 + 
    10584000*li4half*ln2^2*z2 - 2401000*ln2^6*z2 + 3057768000*s6*z2 - 
    190764000*li4half*z2^2 + 34769700*ln2^4*z2^2 - 91110600*ln2^2*z2^3 + 
    315496656*z2^4 + 1939392000*li5half*z3 - 37044000*li4half*ln2*z3 - 
    18013800*ln2^5*z3 + 160734000*ln2^3*z2*z3 + 1421651700*ln2*z2^2*z3 + 
    133843500*ln2^2*z3^2 + 1399450500*z2*z3^2 - 62585250*ln2^3*z5 + 
    3786977250*ln2*z2*z5 - 1736303625*z3*z5 - 73237500*ln2*z7)/14112000, 
 H[-1, 1, 1, 0, 1, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 + 13547520000*li8half + 5419008000*li7half*ln2 + 
    677376000*li6half*ln2^2 - 2352000*li4half*ln2^4 + 152600*ln2^8 - 
    2783088000*ln2^2*s6 + 1356768000*ln2*s7a - 1056384000*ln2*s7b + 
    4751716725*s8a + 30521736000*s8b + 3276000000*s8c + 2905056000*s8d + 
    846720000*li6half*z2 + 338688000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 3175200*ln2^6*z2 - 8505504000*s6*z2 + 
    607824000*li4half*z2^2 + 44730000*ln2^4*z2^2 + 540691200*ln2^2*z2^3 - 
    1015797744*z2^4 - 6021792000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    49593600*ln2^5*z3 - 504168000*ln2^3*z2*z3 - 3708444600*ln2*z2^2*z3 + 
    903640500*ln2^2*z3^2 - 3681877500*z2*z3^2 + 2391102000*ln2^3*z5 - 
    6738102000*ln2*z2*z5 + 4407976125*z3*z5 - 9851861250*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, 1, -1, 0, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    11592000*ln2^2*s6 + 12096000*ln2*s7a - 37296000*ln2*s7b + 42348600*s8a + 
    241164000*s8b + 34272000*s8c + 29232000*s8d + 84672000*li6half*z2 + 
    117600*ln2^6*z2 - 63756000*s6*z2 + 7786800*li4half*z2^2 + 
    2088450*ln2^4*z2^2 - 14091000*ln2^2*z2^3 - 16893669*z2^4 - 
    26712000*li5half*z3 - 1764000*li4half*ln2*z3 + 149100*ln2^5*z3 - 
    903000*ln2^3*z2*z3 - 9352350*ln2*z2^2*z3 + 12726000*ln2^2*z3^2 - 
    56574000*z2*z3^2 + 42740250*ln2^3*z5 + 9442125*ln2*z2*z5 + 
    83892375*z3*z5 - 133205625*ln2*z7)/7056000, 
 H[-1, 1, 1, 0, 1, -1, 0, -1, 1] -> 
  (-11289600*li4half^2 - 1580544000*li8half - 541900800*li7half*ln2 - 
    67737600*li6half*ln2^2 + 940800*li4half*ln2^4 + 33040*ln2^8 + 
    277401600*ln2^2*s6 - 90518400*ln2*s7a + 150796800*ln2*s7b - 
    598540950*s8a - 3647145600*s8b - 438681600*s8c - 283852800*s8d + 
    143942400*li6half*z2 + 16934400*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 454720*ln2^6*z2 + 991771200*s6*z2 - 
    53101440*li4half*z2^2 + 1868160*ln2^4*z2^2 - 67878720*ln2^2*z2^3 + 
    52139016*z2^4 + 615686400*li5half*z3 + 21168000*li4half*ln2*z3 - 
    4248720*ln2^5*z3 + 47014800*ln2^3*z2*z3 + 418017600*ln2*z2^2*z3 - 
    41227200*ln2^2*z3^2 + 439746300*z2*z3^2 - 229996200*ln2^3*z5 + 
    857776500*ln2*z2*z5 - 433534500*z3*z5 + 1437453675*ln2*z7)/5644800, 
 H[-1, 1, 1, 0, 1, -1, -1, 1, 1] -> 
  (-169344000*li8half + 67737600*li7half*ln2 - 16934400*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 1411200*li4half*ln2^4 + 56840*ln2^8 - 
    51408000*ln2^2*s6 + 59270400*ln2*s7a - 25401600*ln2*s7b - 37204650*s8a - 
    75600000*s8b - 7257600*s8c - 1209600*s8d + 16934400*li6half*z2 + 
    22579200*li5half*ln2*z2 + 8467200*li4half*ln2^2*z2 - 274400*ln2^6*z2 + 
    2419200*s6*z2 - 1088640*li4half*z2^2 + 4070640*ln2^4*z2^2 + 
    17075520*ln2^2*z2^3 + 23870232*z2^4 - 28627200*li5half*z3 - 
    8467200*li4half*ln2*z3 - 114240*ln2^5*z3 - 268800*ln2^3*z2*z3 + 
    3936240*ln2*z2^2*z3 + 45738000*ln2^2*z3^2 + 36136800*z2*z3^2 + 
    96667200*ln2^3*z5 + 63315000*ln2*z2*z5 - 54762750*z3*z5 - 
    170369325*ln2*z7)/11289600, H[-1, 1, 1, 0, 1, -1, -1, 0, 1] -> 
  (28224000*li4half^2 + 6773760000*li8half + 1354752000*li7half*ln2 - 
    18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 105000*ln2^8 - 
    1194984000*ln2^2*s6 + 270144000*ln2*s7a - 364896000*ln2*s7b + 
    2734551225*s8a + 16395120000*s8b + 1899072000*s8c + 1487808000*s8d - 
    42336000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 862400*ln2^6*z2 - 4693752000*s6*z2 + 
    291916800*li4half*z2^2 - 13650000*ln2^4*z2^2 + 231730800*ln2^2*z2^3 - 
    464367804*z2^4 - 2940336000*li5half*z3 + 77616000*li4half*ln2*z3 + 
    27736800*ln2^5*z3 - 263844000*ln2^3*z2*z3 - 2022136200*ln2*z2^2*z3 + 
    96311250*ln2^2*z3^2 - 2106751500*z2*z3^2 + 619311000*ln2^3*z5 - 
    4578588000*ln2*z2*z5 + 2766676500*z3*z5 - 2866807125*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, 1, -1, -1, -1, 1] -> 
  (36288000*li4half^2 + 483840000*li8half - 48384000*li7half*ln2 - 
    4032000*li6half*ln2^2 + 10752000*li5half*ln2^3 + 4368000*li4half*ln2^4 + 
    45400*ln2^8 - 40896000*ln2^2*s6 + 8640000*ln2*s7a + 63072000*ln2*s7b + 
    104591025*s8a + 759528000*s8b + 50400000*s8c + 102816000*s8d + 
    28224000*li6half*z2 - 8064000*li5half*ln2*z2 - 
    26208000*li4half*ln2^2*z2 - 543200*ln2^6*z2 - 266112000*s6*z2 - 
    9475200*li4half*z2^2 - 3754800*ln2^4*z2^2 - 554400*ln2^2*z2^3 - 
    55791936*z2^4 - 181440000*li5half*z3 + 76608000*li4half*ln2*z3 + 
    4704000*ln2^5*z3 - 31920000*ln2^3*z2*z3 - 141247800*ln2*z2^2*z3 + 
    8784000*ln2^2*z3^2 - 75316500*z2*z3^2 - 52773000*ln2^3*z5 - 
    343908000*ln2*z2*z5 + 149680125*z3*z5 + 575818875*ln2*z7)/8064000, 
 H[-1, 1, 1, 0, 0, 1, 1, 1, 1] -> (-56448000*li4half^2 - 564480000*li8half - 
    225792000*li7half*ln2 + 18816000*li5half*ln2^3 - 28000*ln2^8 - 
    11088000*ln2^2*s6 + 40320000*ln2*s7a + 54432000*ln2*s7b - 62894475*s8a - 
    300888000*s8b - 58464000*s8c + 58464000*s8d - 56448000*li5half*ln2*z2 + 
    313600*ln2^6*z2 - 116928000*s6*z2 - 10886400*li4half*z2^2 - 
    1629600*ln2^4*z2^2 + 22344000*ln2^2*z2^3 + 17997024*z2^4 - 
    18144000*li5half*z3 + 151200*ln2^5*z3 - 10920000*ln2^3*z2*z3 + 
    17803800*ln2*z2^2*z3 + 19593000*ln2^2*z3^2 + 27090000*z2*z3^2 - 
    8526000*ln2^3*z5 - 378000*ln2*z2*z5 + 254055375*z3*z5 + 539870625*ln2*z7)/
   56448000, H[-1, 1, 1, 0, 0, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    30240000*ln2^2*s6 - 14112000*ln2*s7a + 14112000*ln2*s7b - 54578475*s8a - 
    280728000*s8b - 32256000*s8c - 52416000*s8d + 28224000*li5half*ln2*z2 - 
    235200*ln2^6*z2 + 147168000*s6*z2 + 6451200*li4half*z2^2 + 
    856800*ln2^4*z2^2 - 15926400*ln2^2*z2^3 + 8358804*z2^4 + 
    48384000*li5half*z3 - 7056000*li4half*ln2*z3 - 697200*ln2^5*z3 + 
    5796000*ln2^3*z2*z3 + 32508000*ln2*z2^2*z3 - 13104000*ln2^2*z3^2 + 
    41721750*z2*z3^2 - 29694000*ln2^3*z5 + 33925500*ln2*z2*z5 - 
    146608875*z3*z5 + 62952750*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, 0, 1, 1, -1, 1] -> (-806400*li4half^2 + 6451200*li7half*ln2 - 
    537600*li5half*ln2^3 - 336000*li4half*ln2^4 - 9400*ln2^8 - 
    864000*ln2^2*s6 - 345600*ln2*s7a - 2361600*ln2*s7b + 
    1612800*li5half*ln2*z2 + 806400*li4half*ln2^2*z2 + 69440*ln2^6*z2 + 
    1209600*s6*z2 + 1532160*li4half*z2^2 + 137760*ln2^4*z2^2 - 
    43680*ln2^2*z2^3 - 250656*z2^4 - 2822400*li5half*z3 - 
    7056000*li4half*ln2*z3 - 270480*ln2^5*z3 + 1663200*ln2^3*z2*z3 + 
    1722240*ln2*z2^2*z3 - 9900*ln2^2*z3^2 - 510300*z2*z3^2 + 
    2587200*ln2^3*z5 + 5097600*ln2*z2*z5 + 3329550*z3*z5 - 19425375*ln2*z7)/
   1612800, H[-1, 1, 1, 0, 0, 1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    215712000*ln2^2*s6 - 143136000*ln2*s7a + 40320000*ln2*s7b - 
    274615425*s8a - 1698984000*s8b - 187488000*s8c - 235872000*s8d + 
    56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 117600*ln2^6*z2 + 
    662256000*s6*z2 - 82454400*li4half*z2^2 - 4023600*ln2^4*z2^2 - 
    50383200*ln2^2*z2^3 + 24158112*z2^4 + 436464000*li5half*z3 + 
    14112000*li4half*ln2*z3 - 3049200*ln2^5*z3 + 46956000*ln2^3*z2*z3 + 
    241327800*ln2*z2^2*z3 - 86845500*ln2^2*z3^2 + 249102000*z2*z3^2 - 
    203595000*ln2^3*z5 + 460782000*ln2*z2*z5 - 663736500*z3*z5 + 
    107690625*ln2*z7)/28224000, H[-1, 1, 1, 0, 0, 1, 0, 0, 1] -> 
  (-38640000*ln2^2*s6 + 16800000*ln2*s7a - 11424000*ln2*s7b + 67254075*s8a + 
    327600000*s8b + 43680000*s8c + 40992000*s8d - 127848000*s6*z2 - 
    1915200*li4half*z2^2 - 79800*ln2^4*z2^2 + 16598400*ln2^2*z2^3 - 
    4089668*z2^4 - 74928000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    918400*ln2^5*z3 - 8008000*ln2^3*z2*z3 - 52739400*ln2*z2^2*z3 + 
    13681500*ln2^2*z3^2 - 47019000*z2*z3^2 + 32046000*ln2^3*z5 - 
    100128000*ln2*z2*z5 + 154764750*z3*z5 - 64060500*ln2*z7)/4704000, 
 H[-1, 1, 1, 0, 0, 1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    91728000*ln2^2*s6 + 47712000*ln2*s7a - 13440000*ln2*s7b + 127833300*s8a + 
    630840000*s8b + 102144000*s8c + 53088000*s8d + 9408000*li5half*ln2*z2 - 
    23520000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 - 197904000*s6*z2 - 
    37128000*li4half*z2^2 + 1589000*ln2^4*z2^2 + 41734000*ln2^2*z2^3 + 
    15083728*z2^4 - 110880000*li5half*z3 + 94080000*li4half*ln2*z3 + 
    4844000*ln2^5*z3 - 33152000*ln2^3*z2*z3 - 127507800*ln2*z2^2*z3 + 
    41895000*ln2^2*z3^2 - 100458750*z2*z3^2 + 55713000*ln2^3*z5 - 
    263644500*ln2*z2*z5 + 189472500*z3*z5 - 96571125*ln2*z7)/9408000, 
 H[-1, 1, 1, 0, 0, 1, -1, 1, 1] -> (84672000*li4half^2 + 1016064000*li8half - 
    112896000*li7half*ln2 - 18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 
    155400*ln2^8 + 97776000*ln2^2*s6 - 135072000*ln2*s7a - 
    149184000*ln2*s7b + 428127525*s8a + 2009448000*s8b + 356832000*s8c + 
    24192000*s8d + 56448000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 
    901600*ln2^6*z2 - 380016000*s6*z2 - 47376000*li4half*z2^2 - 
    31021200*ln2^4*z2^2 - 60093600*ln2^2*z2^3 - 18598656*z2^4 - 
    147168000*li5half*z3 - 28224000*li4half*ln2*z3 - 772800*ln2^5*z3 + 
    1848000*ln2^3*z2*z3 - 142644600*ln2*z2^2*z3 - 214389000*ln2^2*z3^2 - 
    279090000*z2*z3^2 - 9702000*ln2^3*z5 - 561708000*ln2*z2*z5 + 
    3283875*z3*z5 - 769860000*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, 0, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    18864000*ln2^2*s6 + 1728000*ln2*s7a + 13824000*ln2*s7b + 26159175*s8a + 
    134568000*s8b + 14112000*s8c + 22176000*s8d - 4032000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 117600*ln2^6*z2 - 50400000*s6*z2 + 
    6955200*li4half*z2^2 - 1558200*ln2^4*z2^2 + 14677200*ln2^2*z2^3 - 
    3987432*z2^4 - 36288000*li5half*z3 + 8064000*li4half*ln2*z3 + 
    638400*ln2^5*z3 - 5628000*ln2^3*z2*z3 - 38700000*ln2*z2^2*z3 + 
    1089000*ln2^2*z3^2 - 23073750*z2*z3^2 - 8127000*ln2^3*z5 - 
    84298500*ln2*z2*z5 + 79624125*z3*z5 + 62973000*ln2*z7)/4032000, 
 H[-1, 1, 1, 0, 0, 1, -1, -1, 1] -> 
  (112896000*li4half^2 + 338688000*li8half + 56448000*li7half*ln2 + 
    9408000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 114800*ln2^8 - 
    114912000*ln2^2*s6 + 15120000*ln2*s7a + 50400000*ln2*s7b + 
    119474775*s8a + 590184000*s8b + 129024000*s8c - 30240000*s8d - 
    112896000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    77616000*li4half*ln2^2*z2 - 2371600*ln2^6*z2 - 31248000*s6*z2 - 
    91425600*li4half*z2^2 + 6127800*ln2^4*z2^2 + 52273200*ln2^2*z2^3 + 
    55383864*z2^4 + 4032000*li5half*z3 + 186984000*li4half*ln2*z3 + 
    8169000*ln2^5*z3 - 51702000*ln2^3*z2*z3 - 163749600*ln2*z2^2*z3 + 
    28428750*ln2^2*z3^2 - 102831750*z2*z3^2 - 45276000*ln2^3*z5 - 
    502929000*ln2*z2*z5 - 64866375*z3*z5 + 44690625*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, 0, 0, 1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    127008000*ln2^2*s6 + 104832000*ln2*s7a - 36288000*ln2*s7b + 
    171137925*s8a + 1041768000*s8b + 114912000*s8c + 139104000*s8d - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 440496000*s6*z2 + 
    17942400*li4half*z2^2 + 2511600*ln2^4*z2^2 + 38287200*ln2^2*z2^3 - 
    9777792*z2^4 - 334656000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    2494800*ln2^5*z3 - 30828000*ln2^3*z2*z3 - 164669400*ln2*z2^2*z3 + 
    63504000*ln2^2*z3^2 - 110439000*z2*z3^2 + 132447000*ln2^3*z5 - 
    220941000*ln2*z2*z5 + 381756375*z3*z5 - 113762250*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, 0, 0, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    92736000*ln2^2*s6 - 52416000*ln2*s7a + 4032000*ln2*s7b - 134786925*s8a - 
    675360000*s8b - 80640000*s8c - 88704000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 279720000*s6*z2 + 35179200*li4half*z2^2 - 
    2062200*ln2^4*z2^2 - 41949600*ln2^2*z2^3 + 5708592*z2^4 + 
    233856000*li5half*z3 - 42336000*li4half*ln2*z3 - 3712800*ln2^5*z3 + 
    30072000*ln2^3*z2*z3 + 140968800*ln2*z2^2*z3 - 47124000*ln2^2*z3^2 + 
    81537750*z2*z3^2 - 64092000*ln2^3*z5 + 214861500*ln2*z2*z5 - 
    361202625*z3*z5 + 40123125*ln2*z7)/14112000, 
 H[-1, 1, 1, 0, 0, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    336672000*ln2^2*s6 - 137088000*ln2*s7a + 4032000*ln2*s7b - 
    543735675*s8a - 3007872000*s8b - 356832000*s8c - 391104000*s8d - 
    84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 470400*ln2^6*z2 + 
    1135008000*s6*z2 + 14212800*li4half*z2^2 + 11176200*ln2^4*z2^2 - 
    192939600*ln2^2*z2^3 + 11786592*z2^4 + 838656000*li5half*z3 - 
    141120000*li4half*ln2*z3 - 12868800*ln2^5*z3 + 85764000*ln2^3*z2*z3 + 
    577218600*ln2*z2^2*z3 - 118755000*ln2^2*z3^2 + 422415000*z2*z3^2 - 
    123333000*ln2^3*z5 + 1113997500*ln2*z2*z5 - 1248667875*z3*z5 + 
    220767750*ln2*z7)/28224000, H[-1, 1, 1, 0, 0, 0, 0, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 1008000*ln2^2*s6 + 
    2016000*ln2*s7b + 497700*s8a - 5040000*s8b - 2016000*li4half*ln2^2*z2 - 
    84000*ln2^6*z2 + 4032000*s6*z2 - 3225600*li4half*z2^2 + 
    117600*ln2^4*z2^2 + 1159200*ln2^2*z2^3 - 133488*z2^4 - 
    4032000*li5half*z3 + 3024000*li4half*ln2*z3 + 159600*ln2^5*z3 - 
    1092000*ln2^3*z2*z3 - 2822400*ln2*z2^2*z3 + 756000*ln2^2*z3^2 - 
    2803500*z2*z3^2 - 1617000*ln2^3*z5 - 8820000*ln2*z2*z5 + 14875875*z3*z5 + 
    10001250*ln2*z7)/2016000, H[-1, 1, 1, 0, 0, 0, 0, 0, 1] -> 
  (17850*s8a + 840000*s8b - 168000*s6*z2 + 235200*li4half*z2^2 + 
    9800*ln2^4*z2^2 - 96000*ln2^2*z2^3 + 49596*z2^4 + 117600*ln2*z2^2*z3 + 
    126000*z2*z3^2 + 168000*ln2*z2*z5 - 1262625*z3*z5 - 658875*ln2*z7)/
   336000, H[-1, 1, 1, 0, 0, 0, 0, -1, 1] -> 
  (-96000*ln2*s7b + 110700*s8a + 672000*s8b + 96000*s8c - 24000*s6*z2 - 
    9600*li4half*z2^2 - 400*ln2^4*z2^2 - 6000*ln2^2*z2^3 + 67752*z2^4 - 
    144000*li5half*z3 - 144000*li4half*ln2*z3 - 4800*ln2^5*z3 + 
    24000*ln2^3*z2*z3 - 8400*ln2*z2^2*z3 - 49500*ln2^2*z3^2 - 98250*z2*z3^2 + 
    77000*ln2^3*z5 + 1500*ln2*z2*z5 + 87375*z3*z5 - 1333500*ln2*z7)/96000, 
 H[-1, 1, 1, 0, 0, 0, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    71232000*ln2^2*s6 + 12096000*ln2*s7a + 35616000*ln2*s7b + 101649450*s8a + 
    574224000*s8b + 57120000*s8c + 98112000*s8d + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 352800*ln2^6*z2 - 243264000*s6*z2 - 
    2016000*li4half*z2^2 - 4200000*ln2^4*z2^2 + 52186400*ln2^2*z2^3 - 
    15284228*z2^4 - 226800000*li5half*z3 + 18816000*li4half*ln2*z3 + 
    2674000*ln2^5*z3 - 17724000*ln2^3*z2*z3 - 137902800*ln2*z2^2*z3 + 
    15834000*ln2^2*z3^2 - 90321000*z2*z3^2 - 18326000*ln2^3*z5 - 
    323389500*ln2*z2*z5 + 367744125*z3*z5 + 202377000*ln2*z7)/9408000, 
 H[-1, 1, 1, 0, 0, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    94752000*ln2^2*s6 - 56448000*ln2*s7a - 128442825*s8a - 616896000*s8b - 
    76608000*s8c - 92736000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 252504000*s6*z2 + 35078400*li4half*z2^2 - 
    2066400*ln2^4*z2^2 - 43352400*ln2^2*z2^3 + 13201848*z2^4 + 
    227808000*li5half*z3 - 56448000*li4half*ln2*z3 - 4250400*ln2^5*z3 + 
    33096000*ln2^3*z2*z3 + 144635400*ln2*z2^2*z3 - 54495000*ln2^2*z3^2 + 
    103871250*z2*z3^2 - 63504000*ln2^3*z5 + 241510500*ln2*z2*z5 - 
    439779375*z3*z5 - 37760625*ln2*z7)/14112000, 
 H[-1, 1, 1, 0, 0, 0, -1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    55440000*ln2^2*s6 - 4032000*ln2*s7a - 74592000*ln2*s7b - 14436450*s8a + 
    26208000*s8b - 32256000*s8c + 32256000*s8d + 56448000*li4half*ln2^2*z2 + 
    2352000*ln2^6*z2 - 64512000*s6*z2 + 95356800*li4half*z2^2 - 
    3082800*ln2^4*z2^2 - 43310400*ln2^2*z2^3 - 28447392*z2^4 - 
    71568000*li5half*z3 - 204624000*li4half*ln2*z3 - 7929600*ln2^5*z3 + 
    47544000*ln2^3*z2*z3 + 86763600*ln2*z2^2*z3 - 27184500*ln2^2*z3^2 + 
    29484000*z2*z3^2 + 64092000*ln2^3*z5 + 330876000*ln2*z2*z5 + 
    32326875*z3*z5 - 434101500*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, 0, -1, 1, 1, 1] -> (-84672000*li4half^2 + 451584000*li8half + 
    338688000*li7half*ln2 - 56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 124600*ln2^8 - 380016000*ln2^2*s6 + 
    286272000*ln2*s7a - 10080000*ln2*s7b + 200141550*s8a + 1646064000*s8b + 
    116928000*s8c + 249984000*s8d + 56448000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 313600*ln2^6*z2 - 648144000*s6*z2 + 
    81043200*li4half*z2^2 + 19840800*ln2^4*z2^2 + 113332800*ln2^2*z2^3 - 
    54908832*z2^4 - 598752000*li5half*z3 + 4166400*ln2^5*z3 - 
    51660000*ln2^3*z2*z3 - 303030000*ln2*z2^2*z3 + 222327000*ln2^2*z3^2 - 
    127827000*z2*z3^2 + 309288000*ln2^3*z5 - 378504000*ln2*z2*z5 + 
    454041000*z3*z5 - 182030625*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, 0, -1, 1, 0, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 + 
    10886400*ln2^2*s6 + 3427200*ln2*s7a - 5040000*ln2*s7b - 22227975*s8a - 
    95810400*s8b - 14515200*s8c - 10886400*s8d - 2822400*li6half*z2 - 
    2822400*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 - 98000*ln2^6*z2 + 
    29181600*s6*z2 - 3376800*li4half*z2^2 + 1270500*ln2^4*z2^2 - 
    10165680*ln2^2*z2^3 + 1483344*z2^4 + 27417600*li5half*z3 + 
    705600*li4half*ln2*z3 - 199080*ln2^5*z3 + 1696800*ln2^3*z2*z3 + 
    23883300*ln2*z2^2*z3 + 4914000*ln2^2*z3^2 + 16178400*z2*z3^2 + 
    6159300*ln2^3*z5 + 57931650*ln2*z2*z5 - 50850450*z3*z5 - 7120575*ln2*z7)/
   2822400, H[-1, 1, 1, 0, 0, -1, 1, -1, 1] -> 
  (112896000*li8half - 338688000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 187600*ln2^8 + 
    408240000*ln2^2*s6 - 145152000*ln2*s7a + 207648000*ln2*s7b - 
    426154050*s8a - 1991808000*s8b - 370944000*s8c - 94752000*s8d - 
    56448000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 344736000*s6*z2 - 
    13305600*li4half*z2^2 - 29013600*ln2^4*z2^2 - 156828000*ln2^2*z2^3 - 
    91225968*z2^4 + 217728000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    3049200*ln2^5*z3 + 16380000*ln2^3*z2*z3 + 281862000*ln2*z2^2*z3 - 
    143388000*ln2^2*z3^2 + 392868000*z2*z3^2 - 318402000*ln2^3*z5 + 
    421722000*ln2*z2*z5 - 423942750*z3*z5 + 2259581625*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, 0, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    240912000*ln2^2*s6 - 201600000*ln2*s7a + 10080000*ln2*s7b - 
    238954275*s8a - 1753920000*s8b - 149184000*s8c - 274176000*s8d - 
    56448000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 196000*ln2^6*z2 + 788256000*s6*z2 - 
    30139200*li4half*z2^2 + 508200*ln2^4*z2^2 - 76095600*ln2^2*z2^3 + 
    27438276*z2^4 + 583632000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    5451600*ln2^5*z3 + 54516000*ln2^3*z2*z3 + 301228200*ln2*z2^2*z3 - 
    135103500*ln2^2*z3^2 + 157090500*z2*z3^2 - 224763000*ln2^3*z5 + 
    470862000*ln2*z2*z5 - 606217500*z3*z5 - 125291250*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, 0, -1, 0, 0, 1] -> (-36288000*ln2^2*s6 + 12096000*ln2*s7a - 
    16128000*ln2*s7b + 69010725*s8a + 341712000*s8b + 48384000*s8c + 
    36288000*s8d - 120792000*s6*z2 + 6787200*li4half*z2^2 + 
    282800*ln2^4*z2^2 + 13137600*ln2^2*z2^3 - 1629364*z2^4 - 
    79632000*li5half*z3 - 7056000*li4half*ln2*z3 + 369600*ln2^5*z3 - 
    4872000*ln2^3*z2*z3 - 46036200*ln2*z2^2*z3 + 5890500*ln2^2*z3^2 - 
    45879750*z2*z3^2 + 31752000*ln2^3*z5 - 97923000*ln2*z2*z5 + 
    131612250*z3*z5 - 107940000*ln2*z7)/4704000, 
 H[-1, 1, 1, 0, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    175392000*ln2^2*s6 - 24192000*ln2*s7a - 235872000*ln2*s7b + 
    483715575*s8a + 2147040000*s8b + 469728000*s8c + 24192000*s8d - 
    28224000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 784000*ln2^6*z2 - 334152000*s6*z2 + 
    52113600*li4half*z2^2 + 407400*ln2^4*z2^2 + 46888800*ln2^2*z2^3 + 
    110159232*z2^4 - 34272000*li5half*z3 - 84672000*li4half*ln2*z3 - 
    3242400*ln2^5*z3 + 11256000*ln2^3*z2*z3 - 155559600*ln2*z2^2*z3 - 
    111951000*ln2^2*z3^2 - 426163500*z2*z3^2 + 188307000*ln2^3*z5 - 
    659200500*ln2*z2*z5 + 201733875*z3*z5 - 1898016750*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, 0, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 564480000*li8half + 112896000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 
    71400*ln2^8 + 122472000*ln2^2*s6 - 72576000*ln2*s7a + 26208000*ln2*s7b - 
    281477700*s8a - 1965600000*s8b - 233856000*s8c - 161280000*s8d - 
    28224000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 1156400*ln2^6*z2 + 587160000*s6*z2 - 
    16732800*li4half*z2^2 + 13591200*ln2^4*z2^2 - 5082000*ln2^2*z2^3 + 
    2463648*z2^4 + 428400000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    2394000*ln2^5*z3 + 30702000*ln2^3*z2*z3 + 261135000*ln2*z2^2*z3 + 
    8757000*ln2^2*z3^2 + 178920000*z2*z3^2 - 106795500*ln2^3*z5 + 
    688968000*ln2*z2*z5 - 159980625*z3*z5 - 9064125*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, 0, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    35280000*ln2^2*s6 - 4032000*ln2*s7a - 32256000*ln2*s7b + 61694325*s8a + 
    455616000*s8b + 78624000*s8c + 6048000*s8d + 28224000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 980000*ln2^6*z2 - 
    86184000*s6*z2 + 13204800*li4half*z2^2 - 2977800*ln2^4*z2^2 + 
    8870400*ln2^2*z2^3 + 35174232*z2^4 - 117936000*li5half*z3 - 
    105840000*li4half*ln2*z3 - 3427200*ln2^5*z3 + 16632000*ln2^3*z2*z3 - 
    54507600*ln2*z2^2*z3 - 37705500*ln2^2*z3^2 - 26554500*z2*z3^2 + 
    34104000*ln2^3*z5 - 160744500*ln2*z2*z5 - 48998250*z3*z5 - 
    291658500*ln2*z7)/28224000, H[-1, 1, 1, 0, 0, -1, -1, -1, 1] -> 
  (-10348800*li4half^2 - 18816000*li8half - 7526400*li7half*ln2 - 
    1881600*li6half*ln2^2 - 627200*li5half*ln2^3 - 1019200*li4half*ln2^4 - 
    20860*ln2^8 - 840000*ln2^2*s6 - 4838400*ln2*s7a - 13305600*ln2*s7b + 
    13702500*s8a + 47779200*s8b + 15590400*s8c - 3360000*s8d + 
    5644800*li6half*z2 + 3763200*li5half*ln2*z2 + 6115200*li4half*ln2^2*z2 + 
    239120*ln2^6*z2 + 2016000*s6*z2 + 7136640*li4half*z2^2 - 
    388640*ln2^4*z2^2 - 1285760*ln2^2*z2^3 + 4190888*z2^4 + 
    7190400*li5half*z3 - 16699200*li4half*ln2*z3 - 755720*ln2^5*z3 + 
    4617200*ln2^3*z2*z3 + 4430160*ln2*z2^2*z3 - 9431100*ln2^2*z3^2 - 
    14000700*z2*z3^2 + 8031100*ln2^3*z5 - 9185400*ln2*z2*z5 + 834750*z3*z5 - 
    93339225*ln2*z7)/1881600, H[-1, 1, 1, 0, -1, 1, 1, 1, 1] -> 
  (-37632000*li4half^2 - 1128960000*li8half + 301056000*li7half*ln2 + 
    122304000*li6half*ln2^2 + 15680000*li5half*ln2^3 + 16800*ln2^8 + 
    256032000*ln2^2*s6 + 4032000*ln2*s7a + 27552000*ln2*s7b - 664906200*s8a - 
    3839808000*s8b - 491904000*s8c - 336000000*s8d - 122304000*li6half*z2 - 
    47040000*li5half*ln2*z2 - 548800*ln2^6*z2 + 1071840000*s6*z2 - 
    67200000*li4half*z2^2 + 11782400*ln2^4*z2^2 - 30290400*ln2^2*z2^3 + 
    80325648*z2^4 + 754320000*li5half*z3 - 6286000*ln2^5*z3 + 
    56000000*ln2^3*z2*z3 + 528015600*ln2*z2^2*z3 + 57088500*ln2^2*z3^2 + 
    524821500*z2*z3^2 - 36554000*ln2^3*z5 + 1435350000*ln2*z2*z5 - 
    770558250*z3*z5 - 154063875*ln2*z7)/18816000, 
 H[-1, 1, 1, 0, -1, 1, 1, 0, 1] -> (1128960*li4half^2 + 541900800*li8half + 
    108380160*li7half*ln2 - 1505280*li5half*ln2^3 + 94080*li4half*ln2^4 + 
    6440*ln2^8 - 116040960*ln2^2*s6 + 33546240*ln2*s7a - 44352000*ln2*s7b + 
    245657475*s8a + 1473232320*s8b + 176843520*s8c + 134749440*s8d + 
    10160640*li6half*z2 + 3386880*li5half*ln2*z2 - 64288*ln2^6*z2 - 
    422755200*s6*z2 + 27062784*li4half*z2^2 - 302400*ln2^4*z2^2 + 
    22880256*ln2^2*z2^3 - 36196368*z2^4 - 275143680*li5half*z3 - 
    282240*li4half*ln2*z3 + 2281104*ln2^5*z3 - 22834560*ln2^3*z2*z3 - 
    183213576*ln2*z2^2*z3 + 14885640*ln2^2*z3^2 - 192061800*z2*z3^2 + 
    76046040*ln2^3*z5 - 404885880*ln2*z2*z5 + 264047805*z3*z5 - 
    304849440*ln2*z7)/2257920, H[-1, 1, 1, 0, -1, 1, 1, -1, 1] -> 
  (-423360000*li8half - 451584000*li7half*ln2 - 127008000*li6half*ln2^2 - 
    32928000*li5half*ln2^3 - 3528000*li4half*ln2^4 + 30100*ln2^8 - 
    278712000*ln2^2*s6 + 32256000*ln2*s7a - 108864000*ln2*s7b + 
    487747575*s8a + 2193912000*s8b + 387072000*s8c + 269136000*s8d + 
    127008000*li6half*z2 + 98784000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 - 568400*ln2^6*z2 - 813456000*s6*z2 + 
    64411200*li4half*z2^2 + 1801800*ln2^4*z2^2 + 94172400*ln2^2*z2^3 - 
    30635208*z2^4 - 605304000*li5half*z3 - 74088000*li4half*ln2*z3 + 
    1957200*ln2^5*z3 - 31920000*ln2^3*z2*z3 - 362325600*ln2*z2^2*z3 + 
    5733000*ln2^2*z3^2 - 431865000*z2*z3^2 + 193819500*ln2^3*z5 - 
    1008346500*ln2*z2*z5 + 1260866250*z3*z5 + 272144250*ln2*z7)/28224000, 
 H[-1, 1, 1, 0, -1, 1, 0, 1, 1] -> 
  (197568000*li4half^2 - 13547520000*li8half - 5419008000*li7half*ln2 - 
    677376000*li6half*ln2^2 + 16464000*li4half*ln2^4 + 141400*ln2^8 + 
    2621808000*ln2^2*s6 - 1181376000*ln2*s7a + 1316448000*ln2*s7b - 
    4866531075*s8a - 30472344000*s8b - 3388896000*s8c - 2792160000*s8d - 
    169344000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    98784000*li4half*ln2^2*z2 + 3410400*ln2^6*z2 + 8406720000*s6*z2 - 
    746121600*li4half*z2^2 - 54020400*ln2^4*z2^2 - 451735200*ln2^2*z2^3 + 
    926056008*z2^4 + 5478480000*li5half*z3 + 98784000*li4half*ln2*z3 - 
    41538000*ln2^5*z3 + 455364000*ln2^3*z2*z3 + 3450396600*ln2*z2^2*z3 - 
    800604000*ln2^2*z3^2 + 3836007000*z2*z3^2 - 2457546000*ln2^3*z5 + 
    6160266000*ln2*z2*z5 - 4381075125*z3*z5 + 11437216875*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, -1, 1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    20664000*ln2^2*s6 - 19152000*ln2*s7a + 79632000*ln2*s7b - 80929800*s8a - 
    509544000*s8b - 73584000*s8c - 53424000*s8d - 169344000*li6half*z2 - 
    235200*ln2^6*z2 + 106848000*s6*z2 - 54784800*li4half*z2^2 - 
    5810700*ln2^4*z2^2 + 37438800*ln2^2*z2^3 + 27972372*z2^4 + 
    138600000*li5half*z3 + 67032000*li4half*ln2*z3 + 1638000*ln2^5*z3 - 
    6090000*ln2^3*z2*z3 + 6867000*ln2*z2^2*z3 - 7749000*ln2^2*z3^2 + 
    104745375*z2*z3^2 - 83128500*ln2^3*z5 - 13938750*ln2*z2*z5 - 
    131441625*z3*z5 + 336396375*ln2*z7)/14112000, 
 H[-1, 1, 1, 0, -1, 1, 0, -1, 1] -> 
  (158054400*li4half^2 + 3161088000*li8half + 1083801600*li7half*ln2 + 
    135475200*li6half*ln2^2 + 9408000*li4half*ln2^4 + 169120*ln2^8 - 
    627580800*ln2^2*s6 + 281433600*ln2*s7a - 218131200*ln2*s7b + 
    1186877475*s8a + 7289956800*s8b + 839059200*s8c + 622944000*s8d - 
    220147200*li6half*z2 + 16934400*li5half*ln2*z2 - 
    36691200*li4half*ln2^2*z2 - 1536640*ln2^6*z2 - 2102486400*s6*z2 + 
    5483520*li4half*z2^2 - 876960*ln2^4*z2^2 + 179464320*ln2^2*z2^3 - 
    133732512*z2^4 - 1367251200*li5half*z3 + 177811200*li4half*ln2*z3 + 
    18802560*ln2^5*z3 - 158978400*ln2^3*z2*z3 - 975817080*ln2*z2^2*z3 + 
    205178400*ln2^2*z3^2 - 857908800*z2*z3^2 + 473281200*ln2^3*z5 - 
    1846252800*ln2*z2*z5 + 1063951875*z3*z5 - 2154415725*ln2*z7)/11289600, 
 H[-1, 1, 1, 0, -1, 1, -1, 1, 1] -> 
  (17894016000*li8half - 169344000*li7half*ln2 - 705600000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 561400*ln2^8 - 
    2784096000*ln2^2*s6 - 120960000*ln2*s7a - 163296000*ln2*s7b + 
    7501074525*s8a + 44510760000*s8b + 5372640000*s8c + 3842496000*s8d + 
    705600000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 12426400*ln2^6*z2 - 12073824000*s6*z2 + 
    764265600*li4half*z2^2 - 146084400*ln2^4*z2^2 + 384501600*ln2^2*z2^3 - 
    1188574416*z2^4 - 7833168000*li5half*z3 - 42336000*li4half*ln2*z3 + 
    62277600*ln2^5*z3 - 576912000*ln2^3*z2*z3 - 5751358200*ln2*z2^2*z3 - 
    779940000*ln2^2*z3^2 - 5853897000*z2*z3^2 + 36750000*ln2^3*z5 - 
    15624126000*ln2*z2*z5 + 7045770375*z3*z5 - 768922875*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, -1, 1, -1, 0, 1] -> 
  (-3870720000*li8half - 774144000*li7half*ln2 + 10752000*li5half*ln2^3 - 
    32000*ln2^8 + 708624000*ln2^2*s6 - 169344000*ln2*s7a + 
    254016000*ln2*s7b - 1587774825*s8a - 9640008000*s8b - 1118880000*s8c - 
    876960000*s8d - 36288000*li6half*z2 - 12096000*li5half*ln2*z2 - 
    6048000*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 2756880000*s6*z2 - 
    177811200*li4half*z2^2 + 6081600*ln2^4*z2^2 - 134253600*ln2^2*z2^3 + 
    258662688*z2^4 + 1770048000*li5half*z3 + 24192000*li4half*ln2*z3 - 
    13742400*ln2^5*z3 + 139020000*ln2^3*z2*z3 + 1169217000*ln2*z2^2*z3 - 
    56637000*ln2^2*z3^2 + 1210923000*z2*z3^2 - 414162000*ln2^3*z5 + 
    2602971000*ln2*z2*z5 - 1553918625*z3*z5 + 1948432500*ln2*z7)/8064000, 
 H[-1, 1, 1, 0, -1, 1, -1, -1, 1] -> 
  (254016000*li4half^2 - 14224896000*li8half + 169344000*li7half*ln2 + 
    592704000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 799400*ln2^8 + 2116800000*ln2^2*s6 + 
    12096000*ln2*s7a + 12096000*ln2*s7b - 5565657825*s8a - 34336008000*s8b - 
    3792096000*s8c - 3320352000*s8d - 423360000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 127008000*li4half*ln2^2*z2 - 
    13680800*ln2^6*z2 + 9985248000*s6*z2 - 846115200*li4half*z2^2 + 
    109628400*ln2^4*z2^2 - 236275200*ln2^2*z2^3 + 1131868368*z2^4 + 
    6478416000*li5half*z3 + 338688000*li4half*ln2*z3 - 38640000*ln2^5*z3 + 
    393456000*ln2^3*z2*z3 + 4341115800*ln2*z2^2*z3 + 502740000*ln2^2*z3^2 + 
    4249759500*z2*z3^2 - 36750000*ln2^3*z5 + 11451006000*ln2*z2*z5 - 
    5709871125*z3*z5 - 792335250*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, -1, 0, 1, 1, 1] -> (84672000*li4half^2 + 2257920000*li8half + 
    1354752000*li7half*ln2 + 338688000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 91000*ln2^8 - 
    315504000*ln2^2*s6 + 157248000*ln2*s7a - 350784000*ln2*s7b + 
    726438825*s8a + 4261320000*s8b + 570528000*s8c + 247968000*s8d - 
    338688000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1136800*ln2^6*z2 - 1032192000*s6*z2 + 
    28425600*li4half*z2^2 + 4124400*ln2^4*z2^2 + 72172800*ln2^2*z2^3 - 
    49933368*z2^4 - 693504000*li5half*z3 - 21168000*li4half*ln2*z3 + 
    4897200*ln2^5*z3 - 46032000*ln2^3*z2*z3 - 474906600*ln2*z2^2*z3 + 
    119416500*ln2^2*z3^2 - 539248500*z2*z3^2 + 461874000*ln2^3*z5 - 
    574434000*ln2*z2*z5 + 470098125*z3*z5 - 3073470750*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, -1, 0, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    13776000*ln2^2*s6 + 3360000*ln2*s7a + 3360000*ln2*s7b - 13220550*s8a + 
    11088000*s8b - 34272000*s8c + 34272000*s8d + 28224000*li6half*z2 + 
    9408000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 548800*ln2^6*z2 - 
    57960000*s6*z2 + 24847200*li4half*z2^2 - 532700*ln2^4*z2^2 - 
    5174400*ln2^2*z2^3 - 22218978*z2^4 - 21504000*li5half*z3 - 
    21168000*li4half*ln2*z3 - 702800*ln2^5*z3 + 4088000*ln2^3*z2*z3 + 
    17146500*ln2*z2^2*z3 + 8652000*ln2^2*z3^2 + 21257250*z2*z3^2 - 
    1568000*ln2^3*z5 + 95224500*ln2*z2*z5 + 5024250*z3*z5 + 10954125*ln2*z7)/
   4704000, H[-1, 1, 1, 0, -1, 0, 1, -1, 1] -> 
  (-169344000*li4half^2 - 1693440000*li8half - 677376000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 84000*ln2^8 + 344736000*ln2^2*s6 - 
    58464000*ln2*s7a + 195552000*ln2*s7b - 752586975*s8a - 3817800000*s8b - 
    699552000*s8c - 104832000*s8d + 169344000*li6half*z2 - 
    239904000*li5half*ln2*z2 - 70560000*li4half*ln2^2*z2 - 1568000*ln2^6*z2 + 
    675360000*s6*z2 + 83462400*li4half*z2^2 + 16178400*ln2^4*z2^2 - 
    144043200*ln2^2*z2^3 - 32649696*z2^4 + 520128000*li5half*z3 - 
    38808000*li4half*ln2*z3 - 5951400*ln2^5*z3 + 71568000*ln2^3*z2*z3 + 
    526528800*ln2*z2^2*z3 + 54621000*ln2^2*z3^2 + 647703000*z2*z3^2 - 
    253722000*ln2^3*z5 + 1841521500*ln2*z2*z5 - 541666125*z3*z5 + 
    1487359125*ln2*z7)/28224000, H[-1, 1, 1, 0, -1, 0, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    92400000*ln2^2*s6 + 48384000*ln2*s7a - 22176000*ln2*s7b + 113357475*s8a + 
    554400000*s8b + 111552000*s8c + 29568000*s8d + 112896000*li6half*z2 + 
    37632000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 744800*ln2^6*z2 - 
    75600000*s6*z2 - 11020800*li4half*z2^2 + 2088800*ln2^4*z2^2 + 
    19997600*ln2^2*z2^3 + 5437616*z2^4 - 148512000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 2119600*ln2^5*z3 - 21784000*ln2^3*z2*z3 - 
    115617600*ln2*z2^2*z3 + 22963500*ln2^2*z3^2 - 128278500*z2*z3^2 + 
    76489000*ln2^3*z5 - 321993000*ln2*z2*z5 + 218854125*z3*z5 - 
    77637000*ln2*z7)/9408000, H[-1, 1, 1, 0, -1, 0, 0, 0, 1] -> 
  (28224000*ln2^2*s6 - 12096000*ln2*s7a + 6720000*ln2*s7b - 47430600*s8a - 
    227808000*s8b - 32256000*s8c - 24192000*s8d + 82488000*s6*z2 + 
    100800*li4half*z2^2 + 4200*ln2^4*z2^2 - 11522000*ln2^2*z2^3 + 
    307474*z2^4 + 62496000*li5half*z3 - 520800*ln2^5*z3 + 
    5208000*ln2^3*z2*z3 + 41365800*ln2*z2^2*z3 - 8820000*ln2^2*z3^2 + 
    30476250*z2*z3^2 - 21168000*ln2^3*z5 + 75411000*ln2*z2*z5 - 
    102747750*z3*z5 + 45887625*ln2*z7)/4704000, 
 H[-1, 1, 1, 0, -1, 0, 0, -1, 1] -> (61152000*ln2^2*s6 - 48384000*ln2*s7a + 
    22176000*ln2*s7b - 110603325*s8a - 713664000*s8b - 49056000*s8c - 
    115584000*s8d + 56448000*li6half*z2 + 18816000*li5half*ln2*z2 - 
    78400*ln2^6*z2 + 358176000*s6*z2 - 19588800*li4half*z2^2 - 
    424200*ln2^4*z2^2 - 31169600*ln2^2*z2^3 + 8591908*z2^4 + 
    172368000*li5half*z3 - 21168000*li4half*ln2*z3 - 2318400*ln2^5*z3 + 
    18480000*ln2^3*z2*z3 + 94256400*ln2*z2^2*z3 - 50274000*ln2^2*z3^2 + 
    52227000*z2*z3^2 - 58261000*ln2^3*z5 + 34398000*ln2*z2*z5 - 
    211493625*z3*z5 + 198985500*ln2*z7)/9408000, 
 H[-1, 1, 1, 0, -1, 0, -1, 1, 1] -> 
  (169344000*li4half^2 - 1016064000*li8half - 790272000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 151200*ln2^8 - 65520000*ln2^2*s6 - 
    52416000*ln2*s7a + 187488000*ln2*s7b - 22683150*s8a - 573552000*s8b + 
    108864000*s8c - 151200000*s8d + 169344000*li6half*z2 + 
    352800000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 784000*ln2^6*z2 + 
    387072000*s6*z2 - 138902400*li4half*z2^2 - 16136400*ln2^4*z2^2 + 
    91224000*ln2^2*z2^3 + 141047136*z2^4 - 117432000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 4153800*ln2^5*z3 - 46536000*ln2^3*z2*z3 - 
    192061800*ln2*z2^2*z3 - 82372500*ln2^2*z3^2 - 63787500*z2*z3^2 - 
    194481000*ln2^3*z5 - 1300918500*ln2*z2*z5 + 306408375*z3*z5 + 
    1717356375*ln2*z7)/28224000, H[-1, 1, 1, 0, -1, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    137088000*ln2^2*s6 - 28224000*ln2*s7a + 28224000*ln2*s7b - 
    186522525*s8a - 680400000*s8b - 217728000*s8c + 48384000*s8d - 
    84672000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1293600*ln2^6*z2 - 43848000*s6*z2 + 
    65066400*li4half*z2^2 - 1404900*ln2^4*z2^2 - 39715200*ln2^2*z2^3 - 
    60853014*z2^4 + 107856000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    2368800*ln2^5*z3 + 24276000*ln2^3*z2*z3 + 181811700*ln2*z2^2*z3 + 
    16506000*ln2^2*z3^2 + 199347750*z2*z3^2 - 68208000*ln2^3*z5 + 
    616360500*ln2*z2*z5 - 210900375*z3*z5 + 187480125*ln2*z7)/14112000, 
 H[-1, 1, 1, 0, -1, 0, -1, -1, 1] -> 
  (42336000*li4half^2 + 1580544000*li8half + 790272000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 34300*ln2^8 - 148176000*ln2^2*s6 + 
    201600000*ln2*s7a - 38304000*ln2*s7b + 214559100*s8a + 2105712000*s8b + 
    20160000*s8c + 353808000*s8d - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 333200*ln2^6*z2 - 
    912240000*s6*z2 + 51004800*li4half*z2^2 + 2419200*ln2^4*z2^2 + 
    20160000*ln2^2*z2^3 - 181485684*z2^4 - 774648000*li5half*z3 - 
    7056000*li4half*ln2*z3 + 5338200*ln2^5*z3 - 47502000*ln2^3*z2*z3 - 
    289472400*ln2*z2^2*z3 + 207490500*ln2^2*z3^2 - 79616250*z2*z3^2 + 
    226380000*ln2^3*z5 + 77616000*ln2*z2*z5 + 471255750*z3*z5 - 
    444535875*ln2*z7)/28224000, H[-1, 1, 1, 0, -1, -1, 1, 1, 1] -> 
  (-10442880000*li8half - 677376000*li7half*ln2 + 225792000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 183400*ln2^8 + 
    1913184000*ln2^2*s6 - 266112000*ln2*s7a + 368928000*ln2*s7b - 
    4590921825*s8a - 27475560000*s8b - 3223584000*s8c - 2534112000*s8d - 
    225792000*li6half*z2 - 28224000*li5half*ln2*z2 - 2508800*ln2^6*z2 + 
    7911792000*s6*z2 - 515289600*li4half*z2^2 + 50383200*ln2^4*z2^2 - 
    335815200*ln2^2*z2^3 + 729474048*z2^4 + 5117616000*li5half*z3 + 
    21168000*li4half*ln2*z3 - 41764800*ln2^5*z3 + 394716000*ln2^3*z2*z3 + 
    3516471000*ln2*z2^2*z3 + 101272500*ln2^2*z3^2 + 3514675500*z2*z3^2 - 
    601230000*ln2^3*z5 + 8525286000*ln2*z2*z5 - 4769517375*z3*z5 + 
    2411521875*ln2*z7)/56448000, H[-1, 1, 1, 0, -1, -1, 1, 0, 1] -> 
  (-225792000*li4half^2 + 13547520000*li8half + 2709504000*li7half*ln2 - 
    37632000*li5half*ln2^3 - 18816000*li4half*ln2^4 - 280000*ln2^8 - 
    2437344000*ln2^2*s6 + 693504000*ln2*s7a - 915264000*ln2*s7b + 
    5435729775*s8a + 33598152000*s8b + 3671136000*s8c + 3271968000*s8d - 
    84672000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 - 
    10086048000*s6*z2 + 796924800*li4half*z2^2 - 9601200*ln2^4*z2^2 + 
    412910400*ln2^2*z2^3 - 1011803376*z2^4 - 6346368000*li5half*z3 - 
    261072000*li4half*ln2*z3 + 42008400*ln2^5*z3 - 455952000*ln2^3*z2*z3 - 
    3964577400*ln2*z2^2*z3 + 330561000*ln2^2*z3^2 - 4035339000*z2*z3^2 + 
    1566726000*ln2^3*z5 - 8097705000*ln2*z2*z5 + 5500443375*z3*z5 - 
    6912265500*ln2*z7)/56448000, H[-1, 1, 1, 0, -1, -1, 1, -1, 1] -> 
  (-254016000*li4half^2 + 13547520000*li8half + 677376000*li7half*ln2 - 
    338688000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    200200*ln2^8 - 2137968000*ln2^2*s6 + 175392000*ln2*s7a - 
    247968000*ln2*s7b + 5435729775*s8a + 33598152000*s8b + 3671136000*s8c + 
    3271968000*s8d + 338688000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 9016000*ln2^6*z2 - 9888480000*s6*z2 + 
    836438400*li4half*z2^2 - 78867600*ln2^4*z2^2 + 307288800*ln2^2*z2^3 - 
    1061837136*z2^4 - 6494544000*li5half*z3 - 317520000*li4half*ln2*z3 + 
    40891200*ln2^5*z3 - 412440000*ln2^3*z2*z3 - 4231395000*ln2*z2^2*z3 - 
    226233000*ln2^2*z3^2 - 4093551000*z2*z3^2 + 373380000*ln2^3*z5 - 
    10161522000*ln2*z2*z5 + 5667361875*z3*z5 - 1744966125*ln2*z7)/56448000, 
 H[-1, 1, 1, 0, -1, -1, 0, 1, 1] -> (-3864000*ln2^2*s6 - 3024000*ln2*s7a + 
    4032000*ln2*s7b + 4458300*s8a - 10752000*s8b + 6720000*s8c - 
    6720000*s8d - 28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    352800*ln2^6*z2 + 9912000*s6*z2 - 3460800*li4half*z2^2 + 
    1031800*ln2^4*z2^2 - 2251200*ln2^2*z2^3 + 1180428*z2^4 + 
    31080000*li5half*z3 + 17640000*li4half*ln2*z3 + 476000*ln2^5*z3 - 
    2310000*ln2^3*z2*z3 + 1108800*ln2*z2^2*z3 - 4320750*ln2^2*z3^2 - 
    4635750*z2*z3^2 - 5855500*ln2^3*z5 + 7612500*ln2*z2*z5 - 19039125*z3*z5 + 
    18238500*ln2*z7)/9408000, H[-1, 1, 1, 0, -1, -1, 0, 0, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 4972800*ln2^2*s6 + 
    940800*ln2*s7a - 940800*ln2*s7b + 6400275*s8a + 21907200*s8b + 
    8064000*s8c - 2419200*s8d - 2822400*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 
    1310400*s6*z2 - 4717440*li4half*z2^2 + 156240*ln2^4*z2^2 + 
    1744960*ln2^2*z2^3 + 2847056*z2^4 + 604800*li5half*z3 + 
    5644800*li4half*ln2*z3 + 230160*ln2^5*z3 - 1517600*ln2^3*z2*z3 - 
    5833800*ln2*z2^2*z3 - 310800*ln2^2*z3^2 - 6790350*z2*z3^2 + 
    2273600*ln2^3*z5 - 22134000*ln2*z2*z5 + 4807425*z3*z5 - 5255250*ln2*z7)/
   1881600, H[-1, 1, 1, 0, -1, -1, 0, -1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    55104000*ln2^2*s6 + 6048000*ln2*s7a - 8064000*ln2*s7b + 60436425*s8a + 
    17304000*s8b + 112224000*s8c - 98112000*s8d - 28224000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2116800*ln2^6*z2 + 175056000*s6*z2 - 
    87360000*li4half*z2^2 + 2828000*ln2^4*z2^2 + 14800800*ln2^2*z2^3 + 
    54800208*z2^4 + 210336000*li5half*z3 + 162288000*li4half*ln2*z3 + 
    5009200*ln2^5*z3 - 27552000*ln2^3*z2*z3 - 32571000*ln2*z2^2*z3 - 
    19320000*ln2^2*z3^2 - 85344000*z2*z3^2 + 17787000*ln2^3*z5 - 
    282114000*ln2*z2*z5 - 140923125*z3*z5 - 36477000*ln2*z7)/18816000, 
 H[-1, 1, 1, 0, -1, -1, -1, 1, 1] -> 
  (84672000*li4half^2 - 3612672000*li8half - 395136000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 47040000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 96600*ln2^8 + 441504000*ln2^2*s6 - 
    34272000*ln2*s7a + 135072000*ln2*s7b - 1159946550*s8a - 7364448000*s8b - 
    758016000*s8c - 681408000*s8d - 112896000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 2195200*ln2^6*z2 + 
    2054304000*s6*z2 - 205430400*li4half*z2^2 + 14372400*ln2^4*z2^2 - 
    11894400*ln2^2*z2^3 + 283828392*z2^4 + 1383984000*li5half*z3 + 
    134064000*li4half*ln2*z3 - 5535600*ln2^5*z3 + 61236000*ln2^3*z2*z3 + 
    827240400*ln2*z2^2*z3 + 34650000*ln2^2*z3^2 + 852957000*z2*z3^2 - 
    205359000*ln2^3*z5 + 1845522000*ln2*z2*z5 - 935770500*z3*z5 + 
    1060093125*ln2*z7)/56448000, H[-1, 1, 1, 0, -1, -1, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    248976000*ln2^2*s6 - 74592000*ln2*s7a + 66528000*ln2*s7b - 
    379762425*s8a - 1610280000*s8b - 348768000*s8c - 74592000*s8d + 
    84672000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 2234400*ln2^6*z2 + 
    360864000*s6*z2 + 49996800*li4half*z2^2 - 4972800*ln2^4*z2^2 - 
    74928000*ln2^2*z2^3 - 51257688*z2^4 + 177408000*li5half*z3 - 
    119952000*li4half*ln2*z3 - 6476400*ln2^5*z3 + 53592000*ln2^3*z2*z3 + 
    294550200*ln2*z2^2*z3 - 15309000*ln2^2*z3^2 + 346689000*z2*z3^2 - 
    154056000*ln2^3*z5 + 751653000*ln2*z2*z5 - 516103875*z3*z5 + 
    374857875*ln2*z7)/56448000, H[-1, 1, 1, 0, -1, -1, -1, -1, 1] -> 
  (84672000*li4half^2 + 1072512000*li8half + 395136000*li7half*ln2 - 
    28224000*li5half*ln2^3 + 36400*ln2^8 - 169344000*ln2^2*s6 + 
    100800000*ln2*s7a - 26208000*ln2*s7b + 204343650*s8a + 1409184000*s8b + 
    137088000*s8c + 116928000*s8d - 56448000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1293600*ln2^6*z2 - 
    374976000*s6*z2 - 37296000*li4half*z2^2 + 2562000*ln2^4*z2^2 + 
    19857600*ln2^2*z2^3 - 60977736*z2^4 - 255024000*li5half*z3 + 
    112896000*li4half*ln2*z3 + 6417600*ln2^5*z3 - 45360000*ln2^3*z2*z3 - 
    198802800*ln2*z2^2*z3 + 85113000*ln2^2*z3^2 - 147577500*z2*z3^2 + 
    173460000*ln2^3*z5 - 331191000*ln2*z2*z5 + 96437250*z3*z5 - 
    235249875*ln2*z7)/56448000, H[-1, 1, 1, -1, 1, 1, 1, 1, 1] -> 
  (1919232000*li8half + 846720000*li7half*ln2 + 141120000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 1400*ln2^8 - 53424000*ln2^2*s6 + 232118775*s8a + 
    1545768000*s8b + 106848000*s8c + 104832000*s8d - 141120000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 39200*ln2^6*z2 - 315504000*s6*z2 + 
    20966400*li4half*z2^2 + 1167600*ln2^4*z2^2 + 12650400*ln2^2*z2^3 - 
    122026896*z2^4 - 160272000*li5half*z3 + 1335600*ln2^5*z3 - 
    13356000*ln2^3*z2*z3 - 118200600*ln2*z2^2*z3 - 15025500*ln2^2*z3^2 - 
    121369500*z2*z3^2 - 56448000*ln2^3*z5 - 151200000*ln2*z2*z5 - 
    252023625*z3*z5 - 846720000*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, 1, 1, 1, 0, 1] -> (-14112000*li4half^2 - 846720000*li8half - 
    423360000*li7half*ln2 - 84672000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 - 49700*ln2^8 + 165816000*ln2^2*s6 - 
    72576000*ln2*s7a + 26208000*ln2*s7b - 301440825*s8a - 1761984000*s8b - 
    179424000*s8c - 145152000*s8d - 56448000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 568400*ln2^6*z2 + 
    449064000*s6*z2 - 26913600*li4half*z2^2 - 3120600*ln2^4*z2^2 - 
    45158400*ln2^2*z2^3 + 51672888*z2^4 + 353808000*li5half*z3 - 
    21168000*li4half*ln2*z3 - 4065600*ln2^5*z3 + 37128000*ln2^3*z2*z3 + 
    234171000*ln2*z2^2*z3 - 54463500*ln2^2*z3^2 + 185062500*z2*z3^2 - 
    95844000*ln2^3*z5 + 373968000*ln2*z2*z5 - 128023875*z3*z5 + 
    746148375*ln2*z7)/28224000, H[-1, 1, 1, -1, 1, 1, 1, -1, 1] -> 
  (-395136000*li8half - 180633600*li7half*ln2 - 33868800*li6half*ln2^2 - 
    3763200*li5half*ln2^3 - 470400*li4half*ln2^4 - 9520*ln2^8 + 
    22377600*ln2^2*s6 - 23385600*ln2*s7a + 4838400*ln2*s7b - 58556925*s8a - 
    574056000*s8b - 26208000*s8c - 44352000*s8d + 33868800*li6half*z2 + 
    11289600*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 109760*ln2^6*z2 + 
    138096000*s6*z2 - 7459200*li4half*z2^2 - 722400*ln2^4*z2^2 - 
    6390720*ln2^2*z2^3 + 3219192*z2^4 + 68947200*li5half*z3 - 
    9878400*li4half*ln2*z3 - 1068480*ln2^5*z3 + 9038400*ln2^3*z2*z3 + 
    43653960*ln2*z2^2*z3 - 15932700*ln2^2*z3^2 + 24815700*z2*z3^2 - 
    6938400*ln2^3*z5 + 2318400*ln2*z2*z5 + 129239775*z3*z5 + 
    476292600*ln2*z7)/11289600, H[-1, 1, 1, -1, 1, 1, 0, 1, 1] -> 
  (84672000*li4half^2 - 2032128000*li8half - 846720000*li7half*ln2 - 
    84672000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 284200*ln2^8 - 45360000*ln2^2*s6 + 
    205632000*ln2*s7a + 78624000*ln2*s7b - 215644275*s8a - 1144584000*s8b - 
    151200000*s8c + 24192000*s8d + 592704000*li6half*z2 + 
    282240000*li5half*ln2*z2 - 1999200*ln2^6*z2 + 142128000*s6*z2 - 
    96768000*li4half*z2^2 + 730800*ln2^4*z2^2 + 33163200*ln2^2*z2^3 + 
    69132456*z2^4 - 161280000*li5half*z3 + 190512000*li4half*ln2*z3 + 
    10634400*ln2^5*z3 - 66360000*ln2^3*z2*z3 - 97536600*ln2*z2^2*z3 + 
    211050000*ln2^2*z3^2 + 138096000*z2*z3^2 + 119658000*ln2^3*z5 - 
    101934000*ln2*z2*z5 + 375487875*z3*z5 + 1408262625*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, 1, 1, 0, 0, 1] -> (5644800*li4half^2 + 203212800*li8half + 
    67737600*li7half*ln2 - 3763200*li5half*ln2^3 - 470400*li4half*ln2^4 - 
    6440*ln2^8 - 29232000*ln2^2*s6 - 5644800*ln2*s7a + 2822400*ln2*s7b + 
    65805075*s8a + 306532800*s8b + 41529600*s8c + 17740800*s8d + 
    50803200*li6half*z2 + 33868800*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 + 86240*ln2^6*z2 - 29836800*s6*z2 - 
    9152640*li4half*z2^2 - 604800*ln2^4*z2^2 + 11027520*ln2^2*z2^3 - 
    16371288*z2^4 - 49593600*li5half*z3 + 4233600*li4half*ln2*z3 + 
    495600*ln2^5*z3 - 4368000*ln2^3*z2*z3 - 47459160*ln2*z2^2*z3 - 
    5707800*ln2^2*z3^2 - 57166200*z2*z3^2 - 3763200*ln2^3*z5 - 
    143904600*ln2*z2*z5 + 50719725*z3*z5 - 99721125*ln2*z7)/11289600, 
 H[-1, 1, 1, -1, 1, 1, 0, -1, 1] -> 
  (338688000*li4half^2 - 2201472000*li8half - 1862784000*li7half*ln2 - 
    592704000*li6half*ln2^2 - 94080000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 569800*ln2^8 + 66528000*ln2^2*s6 - 
    120960000*ln2*s7a + 598752000*ln2*s7b - 498114225*s8a - 3067848000*s8b - 
    356832000*s8c - 278208000*s8d + 846720000*li6half*z2 + 
    451584000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 6036800*ln2^6*z2 + 
    1212624000*s6*z2 - 313891200*li4half*z2^2 + 3032400*ln2^4*z2^2 + 
    44352000*ln2^2*z2^3 + 141995664*z2^4 + 83664000*li5half*z3 + 
    402192000*li4half*ln2*z3 + 16354800*ln2^5*z3 - 92400000*ln2^3*z2*z3 - 
    109380600*ln2*z2^2*z3 - 21420000*ln2^2*z3^2 + 278869500*z2*z3^2 - 
    671055000*ln2^3*z5 - 958671000*ln2*z2*z5 - 76269375*z3*z5 + 
    3980316375*ln2*z7)/56448000, H[-1, 1, 1, -1, 1, 1, -1, 1, 1] -> 
  (-1524096000*li8half - 508032000*li7half*ln2 + 28224000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 120400*ln2^8 + 208656000*ln2^2*s6 + 
    36288000*ln2*s7a + 247968000*ln2*s7b - 623260575*s8a - 3113208000*s8b - 
    489888000*s8c - 145152000*s8d - 84672000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1489600*ln2^6*z2 + 607824000*s6*z2 - 
    50198400*li4half*z2^2 + 1730400*ln2^4*z2^2 - 37044000*ln2^2*z2^3 + 
    74685528*z2^4 + 438480000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    3343200*ln2^5*z3 - 8736000*ln2^3*z2*z3 + 291601800*ln2*z2^2*z3 + 
    71032500*ln2^2*z3^2 + 515812500*z2*z3^2 - 216972000*ln2^3*z5 + 
    770364000*ln2*z2*z5 - 507394125*z3*z5 + 1830961125*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, 1, 1, -1, 0, 1] -> 
  (508032000*li8half + 225792000*li7half*ln2 + 28224000*li6half*ln2^2 - 
    3136000*li5half*ln2^3 - 1568000*li4half*ln2^4 - 32200*ln2^8 - 
    86352000*ln2^2*s6 - 61152000*ln2*s7b + 207753525*s8a + 1037736000*s8b + 
    163296000*s8c + 48384000*s8d + 56448000*li6half*z2 + 
    37632000*li5half*ln2*z2 + 9408000*li4half*ln2^2*z2 + 274400*ln2^6*z2 - 
    162624000*s6*z2 + 14380800*li4half*z2^2 + 168000*ln2^4*z2^2 + 
    21319200*ln2^2*z2^3 - 27503376*z2^4 - 169680000*li5half*z3 - 
    32928000*li4half*ln2*z3 - 212800*ln2^5*z3 - 4732000*ln2^3*z2*z3 - 
    125668200*ln2*z2^2*z3 - 14511000*ln2^2*z3^2 - 182815500*z2*z3^2 + 
    60858000*ln2^3*z5 - 325101000*ln2*z2*z5 + 180597375*z3*z5 - 
    572546625*ln2*z7)/18816000, H[-1, 1, 1, -1, 1, 1, -1, -1, 1] -> 
  (9676800*li8half + 3870720*li7half*ln2 + 483840*li6half*ln2^2 + 152*ln2^8 - 
    1745280*ln2^2*s6 + 898560*ln2*s7a - 1278720*ln2*s7b + 3858435*s8a + 
    24010560*s8b + 2661120*s8c + 1935360*s8d - 483840*li6half*z2 - 
    1568*ln2^6*z2 - 6652800*s6*z2 + 387072*li4half*z2^2 + 24528*ln2^4*z2^2 + 
    407808*ln2^2*z2^3 - 332352*z2^4 - 3870720*li5half*z3 + 34608*ln2^5*z3 - 
    346080*ln2^3*z2*z3 - 2566152*ln2*z2^2*z3 + 655740*ln2^2*z3^2 - 
    2680020*z2*z3^2 + 1864800*ln2^3*z5 - 3425760*ln2*z2*z5 + 2121525*z3*z5 - 
    13186395*ln2*z7)/322560, H[-1, 1, 1, -1, 1, 0, 1, 1, 1] -> 
  (-84672000*li4half^2 + 1580544000*li8half + 508032000*li7half*ln2 - 
    28224000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 267400*ln2^8 - 
    349776000*ln2^2*s6 - 72576000*ln2*s7a - 495936000*ln2*s7b + 
    987788025*s8a + 4857048000*s8b + 844704000*s8c + 213696000*s8d + 
    84672000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 3253600*ln2^6*z2 - 
    956592000*s6*z2 + 85075200*li4half*z2^2 - 5569200*ln2^4*z2^2 + 
    60732000*ln2^2*z2^3 - 41775696*z2^4 - 406224000*li5half*z3 - 
    127008000*li4half*ln2*z3 - 3200400*ln2^5*z3 + 10836000*ln2^3*z2*z3 - 
    426724200*ln2*z2^2*z3 - 73678500*ln2^2*z3^2 - 941566500*z2*z3^2 + 
    490392000*ln2^3*z5 - 1304856000*ln2*z2*z5 + 1022167125*z3*z5 - 
    3153890250*ln2*z7)/56448000, H[-1, 1, 1, -1, 1, 0, 1, 0, 1] -> 
  (73382400*li4half^2 + 135475200*li7half*ln2 + 67737600*li6half*ln2^2 + 
    15052800*li5half*ln2^3 + 7996800*li4half*ln2^4 + 147560*ln2^8 - 
    57456000*ln2^2*s6 + 100800000*ln2*s7a + 18950400*ln2*s7b + 35724150*s8a + 
    264297600*s8b - 21772800*s8c + 72576000*s8d - 16934400*li5half*ln2*z2 - 
    45158400*li4half*ln2^2*z2 - 1803200*ln2^6*z2 - 198777600*s6*z2 - 
    33747840*li4half*z2^2 + 4485600*ln2^4*z2^2 + 30670080*ln2^2*z2^3 - 
    12375528*z2^4 - 190310400*li5half*z3 + 88905600*li4half*ln2*z3 + 
    5478480*ln2^5*z3 - 39732000*ln2^3*z2*z3 - 95492880*ln2*z2^2*z3 + 
    98280000*ln2^2*z3^2 + 29824200*z2*z3^2 + 65944200*ln2^3*z5 + 
    83034000*ln2*z2*z5 + 118084050*z3*z5 - 38563875*ln2*z7)/11289600, 
 H[-1, 1, 1, -1, 1, 0, 1, -1, 1] -> (12096000*li4half^2 + 211680000*li8half + 
    175392000*li7half*ln2 + 48384000*li6half*ln2^2 + 6384000*li5half*ln2^3 + 
    1596000*li4half*ln2^4 + 29950*ln2^8 - 34488000*ln2^2*s6 + 
    50112000*ln2*s7a - 31536000*ln2*s7b + 54758025*s8a + 438480000*s8b + 
    21168000*s8c + 58968000*s8d - 48384000*li6half*z2 - 
    10080000*li5half*ln2*z2 - 504000*li4half*ln2^2*z2 - 68600*ln2^6*z2 - 
    184212000*s6*z2 + 1562400*li4half*z2^2 + 434700*ln2^4*z2^2 + 
    13939200*ln2^2*z2^3 - 12753396*z2^4 - 94248000*li5half*z3 + 
    22176000*li4half*ln2*z3 + 1726200*ln2^5*z3 - 10920000*ln2^3*z2*z3 - 
    46883700*ln2*z2^2*z3 + 48071250*ln2^2*z3^2 - 22002750*z2*z3^2 + 
    69557250*ln2^3*z5 + 56475000*ln2*z2*z5 + 43249500*z3*z5 - 
    348802875*ln2*z7)/2016000, H[-1, 1, 1, -1, 1, 0, 0, 1, 1] -> 
  (-36288000*li4half^2 - 145152000*li8half - 96768000*li7half*ln2 - 
    24192000*li6half*ln2^2 - 2688000*li5half*ln2^3 - 3024000*li4half*ln2^4 - 
    58600*ln2^8 + 75744000*ln2^2*s6 - 53568000*ln2*s7a + 83520000*ln2*s7b - 
    169988175*s8a - 826056000*s8b - 118944000*s8c - 68544000*s8d - 
    24192000*li6half*z2 - 32256000*li5half*ln2*z2 + 
    6048000*li4half*ln2^2*z2 + 464800*ln2^6*z2 + 233856000*s6*z2 + 
    12297600*li4half*z2^2 - 1117200*ln2^4*z2^2 - 24225600*ln2^2*z2^3 + 
    10661592*z2^4 + 172368000*li5half*z3 - 24192000*li4half*ln2*z3 - 
    2394000*ln2^5*z3 + 18564000*ln2^3*z2*z3 + 112307400*ln2*z2^2*z3 - 
    47335500*ln2^2*z3^2 + 136552500*z2*z3^2 - 126273000*ln2^3*z5 + 
    149859000*ln2*z2*z5 - 277318125*z3*z5 + 503640000*ln2*z7)/8064000, 
 H[-1, 1, 1, -1, 1, 0, 0, 0, 1] -> (-36000*ln2^2*s6 - 48000*ln2*s7a - 
    1224000*ln2*s7b + 866775*s8a + 3192000*s8b + 1008000*s8c - 
    1008000*li6half*z2 - 336000*li5half*ln2*z2 + 1400*ln2^6*z2 - 
    1218000*s6*z2 + 126000*li4half*z2^2 + 3150*ln2^4*z2^2 - 
    33900*ln2^2*z2^3 - 28161*z2^4 - 588000*li5half*z3 - 
    756000*li4half*ln2*z3 - 26600*ln2^5*z3 + 161000*ln2^3*z2*z3 - 
    72300*ln2*z2^2*z3 - 172875*ln2^2*z3^2 - 861000*z2*z3^2 + 
    1027250*ln2^3*z5 + 526875*ln2*z2*z5 + 2903250*z3*z5 - 4081125*ln2*z7)/
   336000, H[-1, 1, 1, -1, 1, 0, 0, -1, 1] -> 
  (-169344000*li4half^2 + 564480000*li8half + 338688000*li7half*ln2 + 
    84672000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 
    308000*ln2^8 + 34776000*ln2^2*s6 - 90720000*ln2*s7a - 118944000*ln2*s7b + 
    65864925*s8a + 158256000*s8b + 90720000*s8c - 6048000*s8d - 
    169344000*li6half*z2 - 98784000*li5half*ln2*z2 + 
    63504000*li4half*ln2^2*z2 + 3273200*ln2^6*z2 - 79632000*s6*z2 + 
    127915200*li4half*z2^2 - 4519200*ln2^4*z2^2 - 40530000*ln2^2*z2^3 - 
    81262932*z2^4 + 124992000*li5half*z3 - 211680000*li4half*ln2*z3 - 
    10038000*ln2^5*z3 + 62748000*ln2^3*z2*z3 + 111825000*ln2*z2^2*z3 - 
    108076500*ln2^2*z3^2 - 68701500*z2*z3^2 + 50053500*ln2^3*z5 + 
    118912500*ln2*z2*z5 + 62283375*z3*z5 - 206183250*ln2*z7)/28224000, 
 H[-1, 1, 1, -1, 1, 0, -1, 1, 1] -> 
  (-12096000*li4half^2 - 296352000*li8half - 205632000*li7half*ln2 - 
    48384000*li6half*ln2^2 - 4368000*li5half*ln2^3 - 1092000*li4half*ln2^4 - 
    21850*ln2^8 + 47232000*ln2^2*s6 - 47736000*ln2*s7a + 50544000*ln2*s7b - 
    90701100*s8a - 598752000*s8b - 51408000*s8c - 65016000*s8d + 
    48384000*li6half*z2 + 4032000*li5half*ln2*z2 - 2520000*li4half*ln2^2*z2 - 
    32200*ln2^6*z2 + 214452000*s6*z2 - 4284000*li4half*z2^2 - 
    283500*ln2^4*z2^2 - 14925600*ln2^2*z2^3 + 19087524*z2^4 + 
    116928000*li5half*z3 - 11592000*li4half*ln2*z3 - 1440600*ln2^5*z3 + 
    9828000*ln2^3*z2*z3 + 61364700*ln2*z2^2*z3 - 44376750*ln2^2*z3^2 + 
    53975250*z2*z3^2 - 90426000*ln2^3*z5 - 7841250*ln2*z2*z5 - 
    86955750*z3*z5 + 431476875*ln2*z7)/2016000, 
 H[-1, 1, 1, -1, 1, 0, -1, 0, 1] -> 
  (225792000*li4half^2 + 338688000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 23520000*li4half*ln2^4 + 442400*ln2^8 - 
    133056000*ln2^2*s6 + 233856000*ln2*s7a - 104832000*ln2*s7b + 
    169956675*s8a + 887040000*s8b + 66528000*s8c + 145152000*s8d + 
    42336000*li5half*ln2*z2 - 91728000*li4half*ln2^2*z2 - 4331600*ln2^6*z2 - 
    466704000*s6*z2 - 87393600*li4half*z2^2 + 10323600*ln2^4*z2^2 + 
    69157200*ln2^2*z2^3 - 37268652*z2^4 - 530208000*li5half*z3 + 
    169344000*li4half*ln2*z3 + 11827200*ln2^5*z3 - 82404000*ln2^3*z2*z3 - 
    228501000*ln2*z2^2*z3 + 232911000*ln2^2*z3^2 - 89365500*z2*z3^2 + 
    279447000*ln2^3*z5 + 78592500*ln2*z2*z5 + 700772625*z3*z5 - 
    559479375*ln2*z7)/28224000, H[-1, 1, 1, -1, 1, 0, -1, -1, 1] -> 
  (45158400*li8half + 22579200*li7half*ln2 - 1881600*li5half*ln2^3 - 
    470400*li4half*ln2^4 - 7280*ln2^8 - 21974400*ln2^2*s6 + 
    10080000*ln2*s7a - 15321600*ln2*s7b + 36717975*s8a + 198878400*s8b + 
    23788800*s8c + 29836800*s8d + 5644800*li6half*z2 + 
    5644800*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 101920*ln2^6*z2 - 
    80841600*s6*z2 + 5967360*li4half*z2^2 + 84000*ln2^4*z2^2 + 
    6303360*ln2^2*z2^3 - 12477576*z2^4 - 54028800*li5half*z3 - 
    1411200*li4half*ln2*z3 + 305200*ln2^5*z3 - 3287200*ln2^3*z2*z3 - 
    27462120*ln2*z2^2*z3 + 11827200*ln2^2*z3^2 - 31483200*z2*z3^2 + 
    29958600*ln2^3*z5 - 41617800*ln2*z2*z5 + 96180525*z3*z5 - 
    24125850*ln2*z7)/3763200, H[-1, 1, 1, -1, 1, -1, 1, 1, 1] -> 
  (-423360000*li8half - 169344000*li7half*ln2 - 42336000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 65800*ln2^8 + 
    92232000*ln2^2*s6 - 120960000*ln2*s7a - 163296000*ln2*s7b + 1508850*s8a - 
    553392000*s8b + 78624000*s8c - 184464000*s8d + 42336000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 784000*ln2^6*z2 + 
    411264000*s6*z2 - 26308800*li4half*z2^2 - 3595200*ln2^4*z2^2 - 
    44604000*ln2^2*z2^3 + 61950996*z2^4 + 294840000*li5half*z3 - 
    74088000*li4half*ln2*z3 - 5749800*ln2^5*z3 + 45150000*ln2^3*z2*z3 + 
    154098000*ln2*z2^2*z3 - 90153000*ln2^2*z3^2 - 96012000*z2*z3^2 + 
    89743500*ln2^3*z5 + 98941500*ln2*z2*z5 + 29775375*z3*z5 - 
    772891875*ln2*z7)/28224000, H[-1, 1, 1, -1, 1, -1, 1, 0, 1] -> 
  (705600000*li8half + 310464000*li7half*ln2 + 42336000*li6half*ln2^2 + 
    14700*ln2^8 - 150696000*ln2^2*s6 + 64512000*ln2*s7a - 20160000*ln2*s7b + 
    277935525*s8a + 1536192000*s8b + 151200000*s8c + 159264000*s8d - 
    98000*ln2^6*z2 - 473760000*s6*z2 + 31852800*li4half*z2^2 + 
    1268400*ln2^4*z2^2 + 42865200*ln2^2*z2^3 - 55650456*z2^4 - 
    318528000*li5half*z3 + 2889600*ln2^5*z3 - 24780000*ln2^3*z2*z3 - 
    196749000*ln2*z2^2*z3 + 34020000*ln2^2*z3^2 - 143167500*z2*z3^2 + 
    86730000*ln2^3*z5 - 239148000*ln2*z2*z5 + 153491625*z3*z5 - 
    572158125*ln2*z7)/28224000, H[-1, 1, 1, -1, 1, -1, 1, -1, 1] -> 
  (338688000*li8half + 84672000*li7half*ln2 - 7700*ln2^8 - 
    30240000*ln2^2*s6 - 3024000*ln2*s7a + 18144000*ln2*s7b + 120057525*s8a + 
    869400000*s8b + 66528000*s8c + 60480000*s8d + 98000*ln2^6*z2 - 
    184464000*s6*z2 + 12096000*li4half*z2^2 + 357000*ln2^4*z2^2 + 
    23360400*ln2^2*z2^3 + 14076684*z2^4 - 120960000*li5half*z3 + 
    596400*ln2^5*z3 - 5964000*ln2^3*z2*z3 - 89044200*ln2*z2^2*z3 - 
    19750500*ln2^2*z3^2 - 67756500*z2*z3^2 - 76072500*ln2^3*z5 - 
    86845500*ln2*z2*z5 - 105816375*z3*z5 - 677494125*ln2*z7)/28224000, 
 H[-1, 1, 1, -1, 1, -1, 0, 1, 1] -> 
  (404544000*li8half + 206976000*li7half*ln2 + 47040000*li6half*ln2^2 + 
    7840000*li5half*ln2^3 + 1568000*li4half*ln2^4 + 34300*ln2^8 - 
    36624000*ln2^2*s6 + 54096000*ln2*s7a + 65856000*ln2*s7b - 25211025*s8a + 
    294168000*s8b - 53760000*s8c + 84336000*s8d - 103488000*li6half*z2 - 
    51744000*li5half*ln2*z2 - 9408000*li4half*ln2^2*z2 - 254800*ln2^6*z2 - 
    231000000*s6*z2 + 12163200*li4half*z2^2 + 889000*ln2^4*z2^2 + 
    13137600*ln2^2*z2^3 - 32526624*z2^4 - 109872000*li5half*z3 + 
    32928000*li4half*ln2*z3 + 2542400*ln2^5*z3 - 17192000*ln2^3*z2*z3 - 
    48720000*ln2*z2^2*z3 + 48352500*ln2^2*z3^2 + 76114500*z2*z3^2 - 
    13867000*ln2^3*z5 + 72345000*ln2*z2*z5 - 120610875*z3*z5 + 
    195124125*ln2*z7)/9408000, H[-1, 1, 1, -1, 1, -1, 0, 0, 1] -> 
  (-282240000*li8half - 112896000*li7half*ln2 - 14112000*li6half*ln2^2 - 
    4200*ln2^8 + 48132000*ln2^2*s6 - 16128000*ln2*s7a - 23184000*ln2*s7b - 
    64644300*s8a - 450072000*s8b - 32256000*s8c - 45360000*s8d - 
    42336000*li6half*z2 - 21168000*li5half*ln2*z2 + 137200*ln2^6*z2 + 
    87192000*s6*z2 - 9072000*li4half*z2^2 - 980700*ln2^4*z2^2 - 
    13293000*ln2^2*z2^3 + 15049152*z2^4 + 101304000*li5half*z3 - 
    932400*ln2^5*z3 + 10500000*ln2^3*z2*z3 + 57783600*ln2*z2^2*z3 - 
    5040000*ln2^2*z3^2 + 35547750*z2*z3^2 + 2425500*ln2^3*z5 + 
    175124250*ln2*z2*z5 + 38831625*z3*z5 + 88727625*ln2*z7)/14112000, 
 H[-1, 1, 1, -1, 1, -1, 0, -1, 1] -> 
  (564480000*li8half + 479808000*li7half*ln2 + 155232000*li6half*ln2^2 + 
    25872000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 16800*ln2^8 - 
    68544000*ln2^2*s6 + 134064000*ln2*s7a - 70560000*ln2*s7b + 96375825*s8a + 
    798840000*s8b + 10080000*s8c + 173376000*s8d - 197568000*li6half*z2 - 
    98784000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 107800*ln2^6*z2 - 
    551376000*s6*z2 + 27619200*li4half*z2^2 + 1533000*ln2^4*z2^2 + 
    22390200*ln2^2*z2^3 - 88424568*z2^4 - 226800000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 3977400*ln2^5*z3 - 29484000*ln2^3*z2*z3 - 
    92912400*ln2*z2^2*z3 + 135843750*ln2^2*z3^2 - 5134500*z2*z3^2 + 
    183713250*ln2^3*z5 + 300069000*ln2*z2*z5 + 262087875*z3*z5 - 
    285382125*ln2*z7)/14112000, H[-1, 1, 1, -1, 1, -1, -1, 1, 1] -> 
  (-48384000*li7half*ln2 - 24192000*li6half*ln2^2 - 4032000*li5half*ln2^3 + 
    9800*ln2^8 - 23328000*ln2^2*s6 - 864000*ln2*s7a + 47520000*ln2*s7b - 
    21772800*s8a + 24192000*li6half*z2 + 12096000*li5half*ln2*z2 - 
    106400*ln2^6*z2 + 24192000*s6*z2 + 462000*ln2^4*z2^2 + 
    8164800*ln2^2*z2^3 + 10094472*z2^4 - 21168000*li5half*z3 + 
    235200*ln2^5*z3 - 2352000*ln2^3*z2*z3 - 23288400*ln2*z2^2*z3 - 
    13743000*ln2^2*z3^2 + 12663000*z2*z3^2 - 45171000*ln2^3*z5 - 
    164349000*ln2*z2*z5 - 63645750*z3*z5 + 286561125*ln2*z7)/8064000, 
 H[-1, 1, 1, -1, 1, -1, -1, 0, 1] -> 
  (84672000*li4half^2 - 1354752000*li8half - 564480000*li7half*ln2 - 
    56448000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 
    166600*ln2^8 + 284256000*ln2^2*s6 - 94752000*ln2*s7a - 10080000*ln2*s7b - 
    335504925*s8a - 2726136000*s8b - 252000000*s8c - 284256000*s8d + 
    56448000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 980000*ln2^6*z2 + 773136000*s6*z2 - 
    55440000*li4half*z2^2 - 428400*ln2^4*z2^2 - 80942400*ln2^2*z2^3 + 
    27648072*z2^4 + 448560000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    2620800*ln2^5*z3 + 35028000*ln2^3*z2*z3 + 356113800*ln2*z2^2*z3 - 
    34272000*ln2^2*z3^2 + 201127500*z2*z3^2 - 118776000*ln2^3*z5 + 
    600831000*ln2*z2*z5 + 121566375*z3*z5 + 863029125*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, 1, -1, -1, -1, 1] -> 
  (56448000*li8half + 395136000*li7half*ln2 + 197568000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 2352000*li4half*ln2^4 - 19600*ln2^8 + 
    115920000*ln2^2*s6 + 100800000*ln2*s7a - 26208000*ln2*s7b - 
    286016850*s8a - 1373904000*s8b - 306432000*s8c + 94752000*s8d - 
    197568000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 156800*ln2^6*z2 - 147168000*s6*z2 + 
    11894400*li4half*z2^2 - 974400*ln2^4*z2^2 - 41176800*ln2^2*z2^3 - 
    157643016*z2^4 + 8064000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    1990800*ln2^5*z3 - 11676000*ln2^3*z2*z3 + 164304000*ln2*z2^2*z3 + 
    177030000*ln2^2*z3^2 + 269514000*z2*z3^2 + 179487000*ln2^3*z5 + 
    957915000*ln2*z2*z5 + 290760750*z3*z5 + 964711125*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, 0, 1, 1, 1, 1] -> (28224000*li4half^2 - 1919232000*li8half - 
    1072512000*li7half*ln2 - 254016000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 96600*ln2^8 + 
    6048000*ln2^2*s6 + 12096000*ln2*s7a + 82656000*ln2*s7b - 232118775*s8a - 
    1545768000*s8b - 106848000*s8c - 104832000*s8d + 254016000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 1136800*ln2^6*z2 + 
    350784000*s6*z2 - 28022400*li4half*z2^2 + 3301200*ln2^4*z2^2 - 
    9324000*ln2^2*z2^3 + 111946896*z2^4 + 61488000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 1957200*ln2^5*z3 - 11340000*ln2^3*z2*z3 + 
    52453800*ln2*z2^2*z3 + 32571000*ln2^2*z3^2 + 118944000*z2*z3^2 - 
    7938000*ln2^3*z5 - 105714000*ln2*z2*z5 + 272860875*z3*z5 + 
    1513488375*ln2*z7)/56448000, H[-1, 1, 1, -1, 0, 1, 1, 0, 1] -> 
  (94080000*ln2^2*s6 - 51072000*ln2*s7a + 71232000*ln2*s7b - 148368675*s8a - 
    785064000*s8b - 137760000*s8c - 73920000*s8d - 84672000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 117600*ln2^6*z2 + 208992000*s6*z2 - 
    14784000*li4half*z2^2 - 1596000*ln2^4*z2^2 - 23402400*ln2^2*z2^3 + 
    7508832*z2^4 + 204288000*li5half*z3 - 1702400*ln2^5*z3 + 
    16828000*ln2^3*z2*z3 + 121804200*ln2*z2^2*z3 - 35721000*ln2^2*z3^2 + 
    157857000*z2*z3^2 - 115885000*ln2^3*z5 + 272685000*ln2*z2*z5 - 
    348455625*z3*z5 + 245847000*ln2*z7)/18816000, 
 H[-1, 1, 1, -1, 0, 1, 1, -1, 1] -> 
  (846720000*li8half - 1636992000*li7half*ln2 - 423360000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 359800*ln2^8 + 
    831600000*ln2^2*s6 - 705600000*ln2*s7a + 973728000*ln2*s7b - 
    975495150*s8a - 4387824000*s8b - 774144000*s8c - 538272000*s8d + 
    423360000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 5096000*ln2^6*z2 + 1993824000*s6*z2 - 
    93542400*li4half*z2^2 - 60463200*ln2^4*z2^2 - 345340800*ln2^2*z2^3 - 
    27534384*z2^4 + 815472000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    10911600*ln2^5*z3 + 129696000*ln2^3*z2*z3 + 472726800*ln2*z2^2*z3 - 
    675234000*ln2^2*z3^2 + 726138000*z2*z3^2 - 1669038000*ln2^3*z5 - 
    463806000*ln2*z2*z5 - 2143575000*z3*z5 + 5449051125*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, 0, 1, 0, 1, 1] -> 
  (-112896000*li4half^2 + 2032128000*li8half + 677376000*li7half*ln2 - 
    37632000*li5half*ln2^3 - 18816000*li4half*ln2^4 - 358400*ln2^8 + 
    45360000*ln2^2*s6 - 233856000*ln2*s7a - 50400000*ln2*s7b + 
    215644275*s8a + 1144584000*s8b + 151200000*s8c - 24192000*s8d - 
    508032000*li6half*z2 - 282240000*li5half*ln2*z2 + 2273600*ln2^6*z2 - 
    113904000*s6*z2 + 130636800*li4half*z2^2 + 268800*ln2^4*z2^2 - 
    56700000*ln2^2*z2^3 - 86865696*z2^4 + 97776000*li5half*z3 - 
    254016000*li4half*ln2*z3 - 13045200*ln2^5*z3 + 82236000*ln2^3*z2*z3 + 
    107238600*ln2*z2^2*z3 - 253386000*ln2^2*z3^2 - 140301000*z2*z3^2 - 
    164640000*ln2^3*z5 + 39312000*ln2*z2*z5 - 356524875*z3*z5 - 
    1115989875*ln2*z7)/56448000, H[-1, 1, 1, -1, 0, 1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    119952000*ln2^2*s6 + 66528000*ln2*s7a - 102816000*ln2*s7b + 
    230222475*s8a + 1252944000*s8b + 177408000*s8c + 118944000*s8d - 
    56448000*li5half*ln2*z2 + 470400*ln2^6*z2 - 442512000*s6*z2 + 
    71769600*li4half*z2^2 + 3225600*ln2^4*z2^2 + 10290000*ln2^2*z2^3 - 
    5266644*z2^4 - 273168000*li5half*z3 - 70560000*li4half*ln2*z3 - 
    663600*ln2^5*z3 - 8652000*ln2^3*z2*z3 - 122862600*ln2*z2^2*z3 + 
    32193000*ln2^2*z3^2 - 171753750*z2*z3^2 + 167139000*ln2^3*z5 - 
    177061500*ln2*z2*z5 + 367250625*z3*z5 - 510835500*ln2*z7)/28224000, 
 H[-1, 1, 1, -1, 0, 1, 0, -1, 1] -> 
  (-451584000*li4half^2 - 2257920000*li8half - 677376000*li7half*ln2 + 
    37632000*li5half*ln2^3 - 28224000*li4half*ln2^4 - 627200*ln2^8 + 
    317520000*ln2^2*s6 - 258048000*ln2*s7a - 215712000*ln2*s7b - 
    264226725*s8a - 2440872000*s8b - 118944000*s8c - 191520000*s8d - 
    254016000*li6half*z2 - 310464000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 6468000*ln2^6*z2 + 432432000*s6*z2 + 
    306028800*li4half*z2^2 - 3654000*ln2^4*z2^2 - 117432000*ln2^2*z2^3 + 
    100922544*z2^4 + 820512000*li5half*z3 - 536256000*li4half*ln2*z3 - 
    29181600*ln2^5*z3 + 199500000*ln2^3*z2*z3 + 654355800*ln2*z2^2*z3 - 
    311346000*ln2^2*z3^2 + 183582000*z2*z3^2 - 54096000*ln2^3*z5 + 
    1223334000*ln2*z2*z5 - 76946625*z3*z5 - 518056875*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, 0, 1, -1, 1, 1] -> 
  (1524096000*li8half + 5927040000*li7half*ln2 + 1608768000*li6half*ln2^2 + 
    103488000*li5half*ln2^3 + 233800*ln2^8 - 626976000*ln2^2*s6 + 
    1221696000*ln2*s7a - 1925280000*ln2*s7b + 623260575*s8a + 
    3113208000*s8b + 489888000*s8c + 145152000*s8d - 1608768000*li6half*z2 - 
    310464000*li5half*ln2*z2 - 4429600*ln2^6*z2 - 1447488000*s6*z2 + 
    29030400*li4half*z2^2 + 95818800*ln2^4*z2^2 + 321098400*ln2^2*z2^3 + 
    124679232*z2^4 + 253008000*li5half*z3 - 3343200*ln2^5*z3 - 
    40656000*ln2^3*z2*z3 + 370906200*ln2*z2^2*z3 + 1175769000*ln2^2*z3^2 - 
    190134000*z2*z3^2 + 2924418000*ln2^3*z5 + 4656834000*ln2*z2*z5 - 
    207246375*z3*z5 - 15098698125*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, 0, 1, -1, 0, 1] -> 
  (-22579200*li4half^2 + 1354752000*li8half - 135475200*li6half*ln2^2 - 
    30105600*li5half*ln2^3 - 3763200*li4half*ln2^4 - 21280*ln2^8 - 
    209462400*ln2^2*s6 - 9676800*ln2*s7a + 41126400*ln2*s7b + 458808525*s8a + 
    2990030400*s8b + 291513600*s8c + 301190400*s8d + 50803200*li6half*z2 + 
    16934400*li5half*ln2*z2 + 11289600*li4half*ln2^2*z2 + 243040*ln2^6*z2 - 
    877564800*s6*z2 + 63624960*li4half*z2^2 - 3781680*ln2^4*z2^2 + 
    31741920*ln2^2*z2^3 - 107050752*z2^4 - 613670400*li5half*z3 - 
    33868800*li4half*ln2*z3 + 3702720*ln2^5*z3 - 44200800*ln2^3*z2*z3 - 
    385431480*ln2*z2^2*z3 - 33024600*ln2^2*z3^2 - 343438200*z2*z3^2 - 
    17052000*ln2^3*z5 - 1013077800*ln2*z2*z5 + 465140025*z3*z5 + 
    188414100*ln2*z7)/11289600, H[-1, 1, 1, -1, 0, 1, -1, -1, 1] -> 
  (-804384000*li7half*ln2 - 232848000*li6half*ln2^2 - 
    16464000*li5half*ln2^3 - 1176000*li4half*ln2^4 - 75600*ln2^8 + 
    116172000*ln2^2*s6 - 198072000*ln2*s7a + 264096000*ln2*s7b - 
    97325550*s8a - 491400000*s8b - 72576000*s8c - 54432000*s8d + 
    169344000*li6half*z2 + 49392000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 980000*ln2^6*z2 + 264096000*s6*z2 - 
    7358400*li4half*z2^2 - 14580300*ln2^4*z2^2 - 60303600*ln2^2*z2^3 - 
    17602848*z2^4 + 22428000*li5half*z3 - 24696000*li4half*ln2*z3 - 
    1215900*ln2^5*z3 + 17304000*ln2^3*z2*z3 - 16940700*ln2*z2^2*z3 - 
    193063500*ln2^2*z3^2 + 43848000*z2*z3^2 - 431481750*ln2^3*z5 - 
    621227250*ln2*z2*z5 - 102823875*z3*z5 + 2036490750*ln2*z7)/14112000, 
 H[-1, 1, 1, -1, 0, 0, 1, 1, 1] -> (18816000*li4half^2 + 37632000*li8half + 
    112896000*li7half*ln2 + 56448000*li6half*ln2^2 + 12544000*li5half*ln2^3 + 
    3136000*li4half*ln2^4 + 50400*ln2^8 - 33936000*ln2^2*s6 + 
    95424000*ln2*s7a - 3360000*ln2*s7b + 20066550*s8a + 340704000*s8b - 
    24192000*s8c + 99456000*s8d - 56448000*li6half*z2 - 
    37632000*li5half*ln2*z2 - 18816000*li4half*ln2^2*z2 - 627200*ln2^6*z2 - 
    285936000*s6*z2 + 10483200*li4half*z2^2 + 2083200*ln2^4*z2^2 + 
    14683200*ln2^2*z2^3 - 17574192*z2^4 - 151872000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 2716000*ln2^5*z3 - 22456000*ln2^3*z2*z3 - 
    48241200*ln2*z2^2*z3 + 75936000*ln2^2*z3^2 + 43428000*z2*z3^2 + 
    69923000*ln2^3*z5 + 162855000*ln2*z2*z5 + 49607250*z3*z5 - 
    60676875*ln2*z7)/18816000, H[-1, 1, 1, -1, 0, 0, 1, 0, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    5107200*ln2^2*s6 - 9273600*ln2*s7a - 1747200*ln2*s7b - 5954025*s8a - 
    44049600*s8b + 3628800*s8c - 12096000*s8d + 5644800*li6half*z2 + 
    3763200*li5half*ln2*z2 + 3763200*li4half*ln2^2*z2 + 133280*ln2^6*z2 + 
    38068800*s6*z2 + 2567040*li4half*z2^2 - 379120*ln2^4*z2^2 - 
    1891120*ln2^2*z2^3 + 2534724*z2^4 + 20428800*li5half*z3 - 
    6115200*li4half*ln2*z3 - 425040*ln2^5*z3 + 3348800*ln2^3*z2*z3 + 
    6419280*ln2*z2^2*z3 - 9118200*ln2^2*z3^2 - 5117700*z2*z3^2 - 
    7183400*ln2^3*z5 - 18601800*ln2*z2*z5 - 13653675*z3*z5 - 3081750*ln2*z7)/
   1881600, H[-1, 1, 1, -1, 0, 0, 1, -1, 1] -> 
  (-32256000*li4half^2 - 80640000*li8half - 48384000*li7half*ln2 - 
    24192000*li6half*ln2^2 - 5376000*li5half*ln2^3 - 3360000*li4half*ln2^4 - 
    65200*ln2^8 - 37296000*ln2^2*s6 - 24192000*ln2*s7a - 46368000*ln2*s7b + 
    60407550*s8a + 78624000*s8b + 88704000*s8c - 38304000*s8d + 
    24192000*li6half*z2 + 4032000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 
    89600*ln2^6*z2 + 68544000*s6*z2 + 16934400*li4half*z2^2 + 
    4040400*ln2^4*z2^2 + 331200*ln2^2*z2^3 + 12863088*z2^4 + 
    76608000*li5half*z3 - 40320000*li4half*ln2*z3 - 2318400*ln2^5*z3 + 
    6636000*ln2^3*z2*z3 + 5619600*ln2*z2^2*z3 - 33012000*ln2^2*z3^2 - 
    79128000*z2*z3^2 + 39039000*ln2^3*z5 - 175644000*ln2*z2*z5 + 
    51392250*z3*z5 - 57920625*ln2*z7)/8064000, 
 H[-1, 1, 1, -1, 0, 0, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    14616000*ln2^2*s6 + 12768000*ln2*s7a - 17808000*ln2*s7b + 33370575*s8a + 
    145320000*s8b + 22512000*s8c + 12768000*s8d + 28224000*li6half*z2 + 
    18816000*li5half*ln2*z2 - 2352000*li4half*ln2^2*z2 - 215600*ln2^6*z2 - 
    32592000*s6*z2 - 7560000*li4half*z2^2 + 449400*ln2^4*z2^2 + 
    4180400*ln2^2*z2^3 - 3191918*z2^4 - 42000000*li5half*z3 + 
    9408000*li4half*ln2*z3 + 742000*ln2^5*z3 - 5264000*ln2^3*z2*z3 - 
    23958900*ln2*z2^2*z3 + 13235250*ln2^2*z3^2 - 31914750*z2*z3^2 + 
    28175000*ln2^3*z5 - 37569000*ln2*z2*z5 + 77332500*z3*z5 - 
    88381125*ln2*z7)/4704000, H[-1, 1, 1, -1, 0, 0, 0, 0, 1] -> 
  (336000*ln2^2*s6 + 672000*ln2*s7b - 866775*s8a - 3192000*s8b - 
    1008000*s8c + 504000*s6*z2 - 84000*li4half*z2^2 - 3500*ln2^4*z2^2 - 
    104400*ln2^2*z2^3 + 16956*z2^4 + 1008000*li5half*z3 + 
    504000*li4half*ln2*z3 + 12600*ln2^5*z3 - 42000*ln2^3*z2*z3 + 
    615300*ln2*z2^2*z3 + 141750*ln2^2*z3^2 + 1055250*z2*z3^2 - 
    598500*ln2^3*z5 + 1349250*ln2*z2*z5 - 2871750*z3*z5 + 1997625*ln2*z7)/
   336000, H[-1, 1, 1, -1, 0, 0, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    17136000*ln2^2*s6 + 38304000*ln2*s7a + 17136000*ln2*s7b - 49461300*s8a - 
    118944000*s8b - 54432000*s8c - 16128000*s8d + 42336000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 + 
    69300000*s6*z2 - 46267200*li4half*z2^2 + 1512000*ln2^4*z2^2 - 
    5220600*ln2^2*z2^3 + 18912282*z2^4 + 7560000*li5half*z3 + 
    70560000*li4half*ln2*z3 + 2877000*ln2^5*z3 - 16128000*ln2^3*z2*z3 + 
    6646500*ln2*z2^2*z3 + 42304500*ln2^2*z3^2 + 53392500*z2*z3^2 + 
    6615000*ln2^3*z5 + 113841000*ln2*z2*z5 - 167288625*z3*z5 - 
    162280125*ln2*z7)/14112000, H[-1, 1, 1, -1, 0, 0, -1, 1, 1] -> 
  (16128000*li4half^2 - 32256000*li7half*ln2 - 12096000*li6half*ln2^2 - 
    2688000*li5half*ln2^3 + 1008000*li4half*ln2^4 + 26000*ln2^8 + 
    15912000*ln2^2*s6 - 6336000*ln2*s7a + 29952000*ln2*s7b - 26976600*s8a - 
    92736000*s8b - 36288000*s8c + 12096000*s8d + 12096000*li6half*z2 + 
    14112000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 128800*ln2^6*z2 - 
    3528000*s6*z2 - 7862400*li4half*z2^2 - 2276400*ln2^4*z2^2 - 
    284400*ln2^2*z2^3 - 11033496*z2^4 - 44856000*li5half*z3 + 
    6048000*li4half*ln2*z3 + 625800*ln2^5*z3 - 336000*ln2^3*z2*z3 - 
    5058000*ln2*z2^2*z3 + 2034000*ln2^2*z3^2 + 24444000*z2*z3^2 - 
    32886000*ln2^3*z5 + 9823500*ln2*z2*z5 + 36138375*z3*z5 + 
    188201250*ln2*z7)/4032000, H[-1, 1, 1, -1, 0, 0, -1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    112896000*ln2^2*s6 - 129024000*ln2*s7a + 40320000*ln2*s7b - 
    169956675*s8a - 887040000*s8b - 66528000*s8c - 145152000*s8d - 
    84672000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 2116800*ln2^6*z2 + 420840000*s6*z2 + 
    42940800*li4half*z2^2 - 5913600*ln2^4*z2^2 - 36498000*ln2^2*z2^3 + 
    48285252*z2^4 + 445536000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    6064800*ln2^5*z3 + 49476000*ln2^3*z2*z3 + 172166400*ln2*z2^2*z3 - 
    124803000*ln2^2*z3^2 + 105682500*z2*z3^2 - 156555000*ln2^3*z5 + 
    100989000*ln2*z2*z5 - 607721625*z3*z5 + 84262500*ln2*z7)/28224000, 
 H[-1, 1, 1, -1, 0, 0, -1, -1, 1] -> 
  (338688000*li8half + 225792000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 22400*ln2^8 + 
    37800000*ln2^2*s6 + 14112000*ln2*s7a - 14112000*ln2*s7b - 28282275*s8a - 
    2520000*s8b - 12096000*s8c - 58464000*s8d - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 352800*ln2^6*z2 + 
    88704000*s6*z2 - 11692800*li4half*z2^2 - 193200*ln2^4*z2^2 - 
    19353600*ln2^2*z2^3 + 29281536*z2^4 + 106344000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 180600*ln2^5*z3 + 2982000*ln2^3*z2*z3 + 
    45133200*ln2*z2^2*z3 - 7780500*ln2^2*z3^2 + 52179750*z2*z3^2 - 
    2205000*ln2^3*z5 + 167265000*ln2*z2*z5 - 362431125*z3*z5 - 
    532728000*ln2*z7)/28224000, H[-1, 1, 1, -1, 0, -1, 1, 1, 1] -> 
  (282240000*li8half - 241920000*li7half*ln2 - 72576000*li6half*ln2^2 - 
    1344000*li5half*ln2^3 + 672000*li4half*ln2^4 - 6600*ln2^8 - 
    84240000*ln2^2*s6 + 8640000*ln2*s7a + 73152000*ln2*s7b + 180751725*s8a + 
    1194984000*s8b + 106848000*s8c + 161280000*s8d + 72576000*li6half*z2 + 
    4032000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 + 179200*ln2^6*z2 - 
    434448000*s6*z2 + 30240000*li4half*z2^2 - 5224800*ln2^4*z2^2 + 
    14637600*ln2^2*z2^3 - 43401024*z2^4 - 329616000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 3334800*ln2^5*z3 - 25704000*ln2^3*z2*z3 - 
    203617800*ln2*z2^2*z3 - 15754500*ln2^2*z3^2 - 123952500*z2*z3^2 - 
    68523000*ln2^3*z5 - 519363000*ln2*z2*z5 + 299919375*z3*z5 + 
    630668250*ln2*z7)/8064000, H[-1, 1, 1, -1, 0, -1, 1, 0, 1] -> 
  (28224000*li4half^2 - 1693440000*li8half + 169344000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 26600*ln2^8 + 
    271656000*ln2^2*s6 - 1008000*ln2*s7a - 22176000*ln2*s7b - 627987150*s8a - 
    3975048000*s8b - 379008000*s8c - 425376000*s8d + 42336000*li6half*z2 + 
    21168000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 509600*ln2^6*z2 + 
    1295280000*s6*z2 - 89308800*li4half*z2^2 + 5348700*ln2^4*z2^2 - 
    46153800*ln2^2*z2^3 + 136440756*z2^4 + 780192000*li5half*z3 + 
    42336000*li4half*ln2*z3 - 4737600*ln2^5*z3 + 52521000*ln2^3*z2*z3 + 
    472619700*ln2*z2^2*z3 + 36603000*ln2^2*z3^2 + 416886750*z2*z3^2 - 
    16758000*ln2^3*z5 + 1114296750*ln2*z2*z5 - 593184375*z3*z5 - 
    20490750*ln2*z7)/14112000, H[-1, 1, 1, -1, 0, -1, 1, -1, 1] -> 
  (-338688000*li8half + 2201472000*li7half*ln2 + 592704000*li6half*ln2^2 + 
    23520000*li5half*ln2^3 + 182000*ln2^8 - 204624000*ln2^2*s6 + 
    520128000*ln2*s7a - 693504000*ln2*s7b - 120057525*s8a - 869400000*s8b - 
    66528000*s8c - 60480000*s8d - 592704000*li6half*z2 - 
    70560000*li5half*ln2*z2 - 2979200*ln2^6*z2 - 97776000*s6*z2 - 
    12096000*li4half*z2^2 + 48006000*ln2^4*z2^2 + 124840800*ln2^2*z2^3 + 
    61403616*z2^4 + 297360000*li5half*z3 - 1860600*ln2^5*z3 - 
    18438000*ln2^3*z2*z3 + 331632000*ln2*z2^2*z3 + 558306000*ln2^2*z3^2 + 
    175581000*z2*z3^2 + 1201357500*ln2^3*z5 + 2197723500*ln2*z2*z5 - 
    70252875*z3*z5 - 4830903000*ln2*z7)/28224000, 
 H[-1, 1, 1, -1, 0, -1, 0, 1, 1] -> 
  (-56448000*li4half^2 + 1016064000*li8half + 338688000*li7half*ln2 - 
    18816000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 179200*ln2^8 - 
    82656000*ln2^2*s6 - 116928000*ln2*s7a - 243936000*ln2*s7b + 
    456803550*s8a + 1871856000*s8b + 399168000*s8c - 18144000*s8d + 
    169344000*li6half*z2 + 28224000*li5half*ln2*z2 + 313600*ln2^6*z2 + 
    15120000*s6*z2 + 64108800*li4half*z2^2 + 5111400*ln2^4*z2^2 - 
    24116400*ln2^2*z2^3 - 43870392*z2^4 - 44856000*li5half*z3 - 
    127008000*li4half*ln2*z3 - 5741400*ln2^5*z3 + 22722000*ln2^3*z2*z3 - 
    93794400*ln2*z2^2*z3 - 125559000*ln2^2*z3^2 - 506646000*z2*z3^2 + 
    127890000*ln2^3*z5 - 618093000*ln2*z2*z5 + 315070875*z3*z5 - 
    1750651875*ln2*z7)/28224000, H[-1, 1, 1, -1, 0, -1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    76608000*ln2^2*s6 + 56448000*ln2*s7a - 56448000*ln2*s7b + 162346275*s8a + 
    979776000*s8b + 82656000*s8c + 129024000*s8d - 56448000*li5half*ln2*z2 + 
    470400*ln2^6*z2 - 420336000*s6*z2 + 73785600*li4half*z2^2 + 
    3133200*ln2^4*z2^2 - 2629200*ln2^2*z2^3 - 8913216*z2^4 - 
    166320000*li5half*z3 - 70560000*li4half*ln2*z3 - 1554000*ln2^5*z3 - 
    924000*ln2^3*z2*z3 - 24141600*ln2*z2^2*z3 + 15939000*ln2^2*z3^2 - 
    55597500*z2*z3^2 + 115395000*ln2^3*z5 + 17073000*ln2*z2*z5 + 
    42595875*z3*z5 - 487856250*ln2*z7)/28224000, 
 H[-1, 1, 1, -1, 0, -1, 0, -1, 1] -> 
  (-225792000*li4half^2 - 1128960000*li8half - 338688000*li7half*ln2 + 
    18816000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 313600*ln2^8 + 
    268128000*ln2^2*s6 - 201600000*ln2*s7a - 187488000*ln2*s7b - 
    192751650*s8a - 1597680000*s8b - 20160000*s8c - 346752000*s8d + 
    84672000*li6half*z2 - 70560000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 2822400*ln2^6*z2 + 905184000*s6*z2 + 
    102816000*li4half*z2^2 - 1449000*ln2^4*z2^2 - 122094000*ln2^2*z2^3 + 
    179568216*z2^4 + 869904000*li5half*z3 - 268128000*li4half*ln2*z3 - 
    18421200*ln2^5*z3 + 132762000*ln2^3*z2*z3 + 506885400*ln2*z2^2*z3 - 
    266805000*ln2^2*z3^2 + 82813500*z2*z3^2 - 54978000*ln2^3*z5 + 
    671422500*ln2*z2*z5 - 943456500*z3*z5 - 1713497625*ln2*z7)/28224000, 
 H[-1, 1, 1, -1, 0, -1, -1, 1, 1] -> 
  (-1693440000*li8half - 3048192000*li7half*ln2 - 846720000*li6half*ln2^2 - 
    65856000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 131600*ln2^8 + 
    373968000*ln2^2*s6 - 780192000*ln2*s7a + 772128000*ln2*s7b - 
    133514325*s8a - 2236248000*s8b - 175392000*s8c - 120960000*s8d + 
    846720000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 884016000*s6*z2 - 
    12902400*li4half*z2^2 - 33230400*ln2^4*z2^2 - 120052800*ln2^2*z2^3 - 
    112974552*z2^4 + 65520000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    840000*ln2^5*z3 + 44268000*ln2^3*z2*z3 - 61122600*ln2*z2^2*z3 - 
    626440500*ln2^2*z3^2 - 137686500*z2*z3^2 - 1438836000*ln2^3*z5 - 
    1821330000*ln2*z2*z5 + 1090380375*z3*z5 + 6578515125*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, 0, -1, -1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    7896000*ln2^2*s6 - 9408000*ln2*s7a + 14112000*ln2*s7b - 26450025*s8a - 
    42000000*s8b - 13440000*s8c - 7728000*s8d - 28224000*li6half*z2 - 
    14112000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 372400*ln2^6*z2 + 
    2520000*s6*z2 - 134400*li4half*z2^2 - 1524600*ln2^4*z2^2 - 
    680400*ln2^2*z2^3 + 16246656*z2^4 + 18984000*li5half*z3 - 
    24696000*li4half*ln2*z3 - 1187200*ln2^5*z3 + 7658000*ln2^3*z2*z3 + 
    10075800*ln2*z2^2*z3 - 18065250*ln2^2*z3^2 + 40435500*z2*z3^2 - 
    18448500*ln2^3*z5 + 25252500*ln2*z2*z5 - 123585000*z3*z5 + 
    1157625*ln2*z7)/9408000, H[-1, 1, 1, -1, 0, -1, -1, -1, 1] -> 
  (-127008000*li4half^2 - 28224000*li8half + 169344000*li7half*ln2 + 
    84672000*li6half*ln2^2 + 14112000*li5half*ln2^3 - 
    10584000*li4half*ln2^4 - 254800*ln2^8 + 31248000*ln2^2*s6 + 
    12096000*ln2*s7a - 227808000*ln2*s7b + 143008425*s8a + 686952000*s8b + 
    153216000*s8c - 47376000*s8d + 14112000*li6half*z2 + 
    63504000*li4half*ln2^2*z2 + 2802800*ln2^6*z2 + 3024000*s6*z2 + 
    81547200*li4half*z2^2 - 4363800*ln2^4*z2^2 - 36867600*ln2^2*z2^3 + 
    68445828*z2^4 + 165312000*li5half*z3 - 169344000*li4half*ln2*z3 - 
    8639400*ln2^5*z3 + 58170000*ln2^3*z2*z3 + 107679600*ln2*z2^2*z3 - 
    66843000*ln2^2*z3^2 - 108517500*z2*z3^2 + 179413500*ln2^3*z5 + 
    293989500*ln2*z2*z5 - 314393625*z3*z5 - 2019031875*ln2*z7)/28224000, 
 H[-1, 1, 1, -1, -1, 1, 1, 1, 1] -> 
  (11289600*li8half + 11289600*li7half*ln2 + 5644800*li6half*ln2^2 + 
    1881600*li5half*ln2^3 + 470400*li4half*ln2^4 + 9520*ln2^8 - 
    4032000*ln2^2*s6 + 8064000*ln2*s7a + 10886400*ln2*s7b - 10758825*s8a + 
    907200*s8b - 10886400*s8c + 8064000*s8d - 5644800*li6half*z2 - 
    5644800*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 - 109760*ln2^6*z2 - 
    13305600*s6*z2 + 201600*li4half*z2^2 + 420000*ln2^4*z2^2 + 
    1391040*ln2^2*z2^3 - 627552*z2^4 - 6249600*li5half*z3 + 
    9878400*li4half*ln2*z3 + 463680*ln2^5*z3 - 3931200*ln2^3*z2*z3 - 
    5234040*ln2*z2^2*z3 + 10023300*ln2^2*z3^2 + 9267300*z2*z3^2 - 
    1734600*ln2^3*z5 - 2406600*ln2*z2*z5 - 11848725*z3*z5 + 51526125*ln2*z7)/
   11289600, H[-1, 1, 1, -1, -1, 1, 1, 0, 1] -> 
  (327398400*li8half + 180633600*li7half*ln2 + 45158400*li6half*ln2^2 + 
    7526400*li5half*ln2^3 + 940800*li4half*ln2^4 + 11480*ln2^8 - 
    82857600*ln2^2*s6 + 51609600*ln2*s7a - 72576000*ln2*s7b + 171638775*s8a + 
    994392000*s8b + 124588800*s8c + 89913600*s8d - 45158400*li6half*z2 - 
    22579200*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 141120*ln2^6*z2 - 
    318124800*s6*z2 + 15160320*li4half*z2^2 + 1078560*ln2^4*z2^2 + 
    21903840*ln2^2*z2^3 - 14666976*z2^4 - 140313600*li5half*z3 + 
    19756800*li4half*ln2*z3 + 2004240*ln2^5*z3 - 17572800*ln2^3*z2*z3 - 
    105071400*ln2*z2^2*z3 + 36584100*ln2^2*z3^2 - 121665600*z2*z3^2 + 
    112161000*ln2^3*z5 - 131997600*ln2*z2*z5 + 147594825*z3*z5 - 
    523104750*ln2*z7)/11289600, H[-1, 1, 1, -1, -1, 1, 1, -1, 1] -> 
  (4*ln2^8 - 112*ln2^6*z2 - 840*ln2^4*z2^2 + 2448*ln2^2*z2^3 + 1188*z2^4 + 
    1176*ln2^5*z3 + 1680*ln2^3*z2*z3 + 10584*ln2*z2^2*z3 - 9450*ln2^2*z3^2 - 
    630*z2*z3^2 - 1260*ln2^3*z5 + 3780*ln2*z2*z5 - 6615*z3*z5 - 37485*ln2*z7)/
   161280, H[-1, 1, 1, -1, -1, 1, 0, 1, 1] -> 
  (349977600*li8half + 124185600*li7half*ln2 - 7526400*li5half*ln2^3 - 
    1881600*li4half*ln2^4 - 31640*ln2^8 - 47376000*ln2^2*s6 - 
    4435200*ln2*s7a - 52416000*ln2*s7b + 133410375*s8a + 684734400*s8b + 
    103622400*s8c + 34675200*s8d + 22579200*li5half*ln2*z2 + 
    11289600*li4half*ln2^2*z2 + 384160*ln2^6*z2 - 138499200*s6*z2 + 
    12579840*li4half*z2^2 - 193200*ln2^4*z2^2 + 9384480*ln2^2*z2^3 - 
    18346968*z2^4 - 108864000*li5half*z3 - 39513600*li4half*ln2*z3 - 
    1009680*ln2^5*z3 + 1864800*ln2^3*z2*z3 - 64212120*ln2*z2^2*z3 - 
    14868000*ln2^2*z3^2 - 106293600*z2*z3^2 + 48980400*ln2^3*z5 - 
    162363600*ln2*z2*z5 + 105337575*z3*z5 - 400667400*ln2*z7)/11289600, 
 H[-1, 1, 1, -1, -1, 1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 1693440000*li8half - 903168000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 156800*ln2^8 + 432432000*ln2^2*s6 - 
    201600000*ln2*s7a + 419328000*ln2*s7b - 953062425*s8a - 5251176000*s8b - 
    772128000*s8c - 399168000*s8d + 28224000*li4half*ln2^2*z2 + 
    1332800*ln2^6*z2 + 1383984000*s6*z2 - 71366400*li4half*z2^2 - 
    5384400*ln2^4*z2^2 - 110880000*ln2^2*z2^3 + 74154312*z2^4 + 
    826560000*li5half*z3 - 84672000*li4half*ln2*z3 - 10768800*ln2^5*z3 + 
    85932000*ln2^3*z2*z3 + 603955800*ln2*z2^2*z3 - 144081000*ln2^2*z3^2 + 
    781956000*z2*z3^2 - 546252000*ln2^3*z5 + 1077993000*ln2*z2*z5 - 
    946630125*z3*z5 + 2829078000*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, 1, 0, -1, 1] -> 
  (225792000*li8half + 282240000*li7half*ln2 - 37632000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 128800*ln2^8 + 201600000*ln2^2*s6 - 
    28224000*ln2*s7a + 70560000*ln2*s7b - 412322400*s8a - 1824480000*s8b - 
    346752000*s8c - 189504000*s8d + 112896000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1607200*ln2^6*z2 + 647136000*s6*z2 - 
    9676800*li4half*z2^2 - 1226400*ln2^4*z2^2 - 63000000*ln2^2*z2^3 - 
    7334784*z2^4 + 75600000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    9156000*ln2^5*z3 + 54516000*ln2^3*z2*z3 + 269816400*ln2*z2^2*z3 - 
    1953000*ln2^2*z3^2 + 357304500*z2*z3^2 - 85407000*ln2^3*z5 + 
    800352000*ln2*z2*z5 - 598500000*z3*z5 - 213719625*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, 1, -1, 1, 1] -> 
  (677376000*li8half + 508032000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 - 82600*ln2^8 - 172368000*ln2^2*s6 + 
    72576000*ln2*s7a - 435456000*ln2*s7b + 656458425*s8a + 2904552000*s8b + 
    538272000*s8c + 139104000*s8d - 169344000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 901600*ln2^6*z2 - 786240000*s6*z2 + 
    27820800*li4half*z2^2 - 2662800*ln2^4*z2^2 + 39715200*ln2^2*z2^3 + 
    771768*z2^4 - 130032000*li5half*z3 + 260400*ln2^5*z3 + 
    2100000*ln2^3*z2*z3 - 192616200*ln2*z2^2*z3 - 10111500*ln2^2*z3^2 - 
    481981500*z2*z3^2 + 437031000*ln2^3*z5 - 154413000*ln2*z2*z5 + 
    463782375*z3*z5 - 2734782750*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, 1, -1, 0, 1] -> 
  (-84672000*li4half^2 - 1693440000*li8half - 959616000*li7half*ln2 - 
    254016000*li6half*ln2^2 - 47040000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 253400*ln2^8 + 389088000*ln2^2*s6 - 
    207648000*ln2*s7a + 512064000*ln2*s7b - 953062425*s8a - 5251176000*s8b - 
    772128000*s8c - 399168000*s8d + 169344000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1881600*ln2^6*z2 + 
    1503936000*s6*z2 - 67132800*li4half*z2^2 - 6795600*ln2^4*z2^2 - 
    101606400*ln2^2*z2^3 + 62617752*z2^4 + 720720000*li5half*z3 - 
    127008000*li4half*ln2*z3 - 11768400*ln2^5*z3 + 88284000*ln2^3*z2*z3 + 
    524550600*ln2*z2^2*z3 - 163768500*ln2^2*z3^2 + 731020500*z2*z3^2 - 
    624603000*ln2^3*z5 + 734580000*ln2*z2*z5 - 825796125*z3*z5 + 
    3326730750*ln2*z7)/56448000, H[-1, 1, 1, -1, -1, 1, -1, -1, 1] -> 
  (-846720000*li8half - 677376000*li7half*ln2 - 254016000*li6half*ln2^2 - 
    56448000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 64400*ln2^8 + 
    214704000*ln2^2*s6 - 157248000*ln2*s7a + 223776000*ln2*s7b - 
    422915850*s8a - 2343600000*s8b - 326592000*s8c - 223776000*s8d + 
    254016000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 862400*ln2^6*z2 + 828576000*s6*z2 - 
    23587200*li4half*z2^2 - 2452800*ln2^4*z2^2 - 57708000*ln2^2*z2^3 + 
    39257424*z2^4 + 151200000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    7845600*ln2^5*z3 + 49056000*ln2^3*z2*z3 + 220399200*ln2*z2^2*z3 - 
    107635500*ln2^2*z3^2 + 307345500*z2*z3^2 - 355005000*ln2^3*z5 + 
    268191000*ln2*z2*z5 - 333632250*z3*z5 + 1280971125*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, 0, 1, 1, 1] -> 
  (-1749888000*li8half - 677376000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    26600*ln2^8 + 519120000*ln2^2*s6 - 266112000*ln2*s7a + 
    368928000*ln2*s7b - 994193550*s8a - 5883696000*s8b - 717696000*s8c - 
    552384000*s8d + 84672000*li6half*z2 + 274400*ln2^6*z2 + 
    1845648000*s6*z2 - 110476800*li4half*z2^2 - 6073200*ln2^4*z2^2 - 
    122119200*ln2^2*z2^3 + 104188032*z2^4 + 1104768000*li5half*z3 - 
    9147600*ln2^5*z3 + 91476000*ln2^3*z2*z3 + 685238400*ln2*z2^2*z3 - 
    193567500*ln2^2*z3^2 + 742675500*z2*z3^2 - 627102000*ln2^3*z5 + 
    1085238000*ln2*z2*z5 - 1177564500*z3*z5 + 2411521875*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, 0, 1, 0, 1] -> (6451200*li8half - 12902400*li7half*ln2 - 
    6451200*li6half*ln2^2 - 1075200*li5half*ln2^3 + 2720*ln2^8 + 
    3225600*ln2^2*s6 - 4435200*ln2*s7a + 4032000*ln2*s7b - 4474575*s8a - 
    14011200*s8b - 3628800*s8c - 403200*s8d - 2419200*li6half*z2 - 
    16800*ln2^6*z2 + 2419200*s6*z2 - 80640*li4half*z2^2 - 38640*ln2^4*z2^2 - 
    1163040*ln2^2*z2^3 - 527448*z2^4 + 1612800*li5half*z3 + 6720*ln2^5*z3 + 
    16800*ln2^3*z2*z3 + 1862280*ln2*z2^2*z3 - 2255400*ln2^2*z3^2 + 
    3534300*z2*z3^2 - 7337400*ln2^3*z5 - 2746800*ln2*z2*z5 - 5955075*z3*z5 + 
    34259400*ln2*z7)/1612800, H[-1, 1, 1, -1, -1, 0, 1, -1, 1] -> 
  (-3499776000*li8half - 2935296000*li7half*ln2 - 592704000*li6half*ln2^2 + 
    9408000*li4half*ln2^4 + 64400*ln2^8 + 535248000*ln2^2*s6 - 
    548352000*ln2*s7a + 679392000*ln2*s7b - 843905475*s8a - 5853960000*s8b - 
    538272000*s8c - 491904000*s8d + 592704000*li6half*z2 - 
    56448000*li4half*ln2^2*z2 - 627200*ln2^6*z2 + 1781136000*s6*z2 - 
    126604800*li4half*z2^2 - 26796000*ln2^4*z2^2 - 163850400*ln2^2*z2^3 + 
    137890224*z2^4 + 1089648000*li5half*z3 + 197568000*li4half*ln2*z3 - 
    84000*ln2^5*z3 + 70812000*ln2^3*z2*z3 + 435594600*ln2*z2^2*z3 - 
    459144000*ln2^2*z3^2 + 497637000*z2*z3^2 - 1163799000*ln2^3*z5 - 
    499968000*ln2*z2*z5 - 338538375*z3*z5 + 6431236875*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 1128960000*li8half + 790272000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 165200*ln2^8 - 574560000*ln2^2*s6 + 
    463680000*ln2*s7a - 425376000*ln2*s7b + 937043100*s8a + 5600448000*s8b + 
    673344000*s8c + 568512000*s8d + 56448000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 1097600*ln2^6*z2 - 1842624000*s6*z2 + 
    45964800*li4half*z2^2 + 8030400*ln2^4*z2^2 + 154308000*ln2^2*z2^3 - 
    66818424*z2^4 - 1080576000*li5half*z3 + 127008000*li4half*ln2*z3 + 
    14767200*ln2^5*z3 - 125328000*ln2^3*z2*z3 - 711849600*ln2*z2^2*z3 + 
    368266500*ln2^2*z3^2 - 696181500*z2*z3^2 + 838341000*ln2^3*z5 - 
    918225000*ln2*z2*z5 + 1211064750*z3*z5 - 2684500875*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, 0, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    9576000*ln2^2*s6 - 14112000*ln2*s7a + 14112000*ln2*s7b - 15283800*s8a - 
    118944000*s8b - 5040000*s8c - 16128000*s8d + 56448000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 156800*ln2^6*z2 + 88704000*s6*z2 - 
    15220800*li4half*z2^2 - 546000*ln2^4*z2^2 + 680400*ln2^2*z2^3 - 
    1963818*z2^4 + 18144000*li5half*z3 + 17640000*li4half*ln2*z3 + 
    583800*ln2^5*z3 - 1722000*ln2^3*z2*z3 - 289800*ln2*z2^2*z3 - 
    8993250*ln2^2*z3^2 - 7079625*z2*z3^2 - 29473500*ln2^3*z5 - 
    54558000*ln2*z2*z5 - 12773250*z3*z5 + 70560000*ln2*z7)/14112000, 
 H[-1, 1, 1, -1, -1, 0, 0, -1, 1] -> 
  (225792000*li4half^2 - 1241856000*li8half - 790272000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 322000*ln2^8 + 33264000*ln2^2*s6 - 
    24192000*ln2*s7a + 300384000*ln2*s7b - 354678975*s8a - 2277576000*s8b - 
    243936000*s8c - 193536000*s8d + 366912000*li6half*z2 + 
    225792000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 3410400*ln2^6*z2 + 
    789264000*s6*z2 - 210873600*li4half*z2^2 + 2091600*ln2^4*z2^2 + 
    28694400*ln2^2*z2^3 + 68228544*z2^4 + 203616000*li5half*z3 + 
    268128000*li4half*ln2*z3 + 9004800*ln2^5*z3 - 44772000*ln2^3*z2*z3 + 
    21911400*ln2*z2^2*z3 + 19719000*ln2^2*z3^2 + 196843500*z2*z3^2 - 
    273273000*ln2^3*z5 - 406350000*ln2*z2*z5 - 33823125*z3*z5 + 
    2341371375*ln2*z7)/56448000, H[-1, 1, 1, -1, -1, 0, -1, 1, 1] -> 
  (3104640000*li8half + 2060352000*li7half*ln2 + 381024000*li6half*ln2^2 - 
    4704000*li4half*ln2^4 + 1400*ln2^8 - 565488000*ln2^2*s6 + 
    479808000*ln2*s7a - 493920000*ln2*s7b + 884201850*s8a + 6093864000*s8b + 
    580608000*s8c + 569520000*s8d - 381024000*li6half*z2 + 
    28224000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 1918728000*s6*z2 + 
    115315200*li4half*z2^2 + 17152800*ln2^4*z2^2 + 140036400*ln2^2*z2^3 - 
    151864884*z2^4 - 1139040000*li5half*z3 - 45864000*li4half*ln2*z3 + 
    7963200*ln2^5*z3 - 105798000*ln2^3*z2*z3 - 600667200*ln2*z2^2*z3 + 
    415138500*ln2^2*z3^2 - 570622500*z2*z3^2 + 956088000*ln2^3*z5 - 
    296887500*ln2*z2*z5 + 581419125*z3*z5 - 4288063500*ln2*z7)/28224000, 
 H[-1, 1, 1, -1, -1, 0, -1, 0, 1] -> 
  (483840*li4half^2 + 1290240*li8half - 2580480*li7half*ln2 - 
    1290240*li6half*ln2^2 - 215040*li5half*ln2^3 + 40320*li4half*ln2^4 + 
    1384*ln2^8 + 852480*ln2^2*s6 - 1336320*ln2*s7a + 1002240*ln2*s7b - 
    901845*s8a - 4616640*s8b - 564480*s8c - 322560*s8d + 483840*li6half*z2 - 
    241920*li4half*ln2^2*z2 - 12096*ln2^6*z2 + 2136960*s6*z2 - 
    112896*li4half*z2^2 - 3024*ln2^4*z2^2 - 245184*ln2^2*z2^3 - 249024*z2^4 + 
    806400*li5half*z3 + 846720*li4half*ln2*z3 + 33936*ln2^5*z3 - 
    120960*ln2^3*z2*z3 + 352440*ln2*z2^2*z3 - 609480*ln2^2*z3^2 + 
    286020*z2*z3^2 - 2204160*ln2^3*z5 - 1331280*ln2*z2*z5 - 1066275*z3*z5 + 
    7777755*ln2*z7)/322560, H[-1, 1, 1, -1, -1, 0, -1, -1, 1] -> 
  (84672000*li4half^2 - 282240000*li8half - 169344000*li7half*ln2 - 
    28224000*li6half*ln2^2 + 7056000*li4half*ln2^4 + 134400*ln2^8 + 
    114912000*ln2^2*s6 - 60480000*ln2*s7a + 193536000*ln2*s7b - 
    320006925*s8a - 1744344000*s8b - 235872000*s8c - 159264000*s8d - 
    42336000*li4half*ln2^2*z2 - 1685600*ln2^6*z2 + 551376000*s6*z2 - 
    92534400*li4half*z2^2 + 495600*ln2^4*z2^2 - 17858400*ln2^2*z2^3 + 
    23695512*z2^4 + 247968000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    2657200*ln2^5*z3 - 7756000*ln2^3*z2*z3 + 121737000*ln2*z2^2*z3 - 
    19131000*ln2^2*z3^2 + 236806500*z2*z3^2 - 231819000*ln2^3*z5 + 
    88389000*ln2*z2*z5 - 332647875*z3*z5 + 1288444500*ln2*z7)/18816000, 
 H[-1, 1, 1, -1, -1, -1, 1, 1, 1] -> 
  (-80640000*li8half - 48384000*li7half*ln2 - 12096000*li6half*ln2^2 - 
    1344000*li5half*ln2^3 + 2200*ln2^8 + 22032000*ln2^2*s6 - 
    6912000*ln2*s7a + 41472000*ln2*s7b - 65817675*s8a - 318024000*s8b - 
    54432000*s8c - 16128000*s8d + 12096000*li6half*z2 + 
    4032000*li5half*ln2*z2 - 28000*ln2^6*z2 + 79632000*s6*z2 - 
    3225600*li4half*z2^2 - 92400*ln2^4*z2^2 - 4188000*ln2^2*z2^3 + 
    201432*z2^4 + 25200000*li5half*z3 - 151200*ln2^5*z3 + 
    2184000*ln2^3*z2*z3 + 25839000*ln2*z2^2*z3 - 4230000*ln2^2*z3^2 + 
    55251000*z2*z3^2 - 47586000*ln2^3*z5 + 42102000*ln2*z2*z5 - 
    62157375*z3*z5 + 260361000*ln2*z7)/8064000, 
 H[-1, 1, 1, -1, -1, -1, 1, 0, 1] -> 
  (806400*li4half^2 - 19353600*li8half - 3225600*li7half*ln2 + 
    2419200*li6half*ln2^2 + 1075200*li5half*ln2^3 + 268800*li4half*ln2^4 + 
    4360*ln2^8 + 3196800*ln2^2*s6 - 172800*ln2*s7a - 2188800*ln2*s7b - 
    4380075*s8a - 29736000*s8b - 1209600*s8c - 3628800*s8d - 
    1612800*li5half*ln2*z2 - 1209600*li4half*ln2^2*z2 - 47040*ln2^6*z2 + 
    9676800*s6*z2 - 1249920*li4half*z2^2 + 68880*ln2^4*z2^2 - 
    809280*ln2^2*z2^3 + 1821288*z2^4 + 9676800*li5half*z3 + 
    4032000*li4half*ln2*z3 + 109200*ln2^5*z3 - 302400*ln2^3*z2*z3 + 
    3555000*ln2*z2^2*z3 + 1251900*ln2^2*z3^2 + 1650600*z2*z3^2 + 
    642600*ln2^3*z5 + 8937000*ln2*z2*z5 - 3750075*z3*z5 - 2621250*ln2*z7)/
   1612800, H[-1, 1, 1, -1, -1, -1, 1, -1, 1] -> 
  (146764800*li8half + 101606400*li7half*ln2 + 33868800*li6half*ln2^2 + 
    7526400*li5half*ln2^3 + 1411200*li4half*ln2^4 + 26320*ln2^8 - 
    38707200*ln2^2*s6 + 25401600*ln2*s7a - 36691200*ln2*s7b + 70178850*s8a + 
    384451200*s8b + 54835200*s8c + 38304000*s8d - 33868800*li6half*z2 - 
    22579200*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 - 313600*ln2^6*z2 - 
    137289600*s6*z2 + 3427200*li4half*z2^2 + 1142400*ln2^4*z2^2 + 
    9280320*ln2^2*z2^3 - 10572792*z2^4 - 37094400*li5half*z3 + 
    29635200*li4half*ln2*z3 + 1708560*ln2^5*z3 - 13087200*ln2^3*z2*z3 - 
    46196640*ln2*z2^2*z3 + 28715400*ln2^2*z3^2 - 53209800*z2*z3^2 + 
    62974800*ln2^3*z5 - 63252000*ln2*z2*z5 + 78242850*z3*z5 - 
    145298475*ln2*z7)/11289600, H[-1, 1, 1, -1, -1, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2032128000*li8half - 903168000*li7half*ln2 - 
    141120000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    135800*ln2^8 + 362880000*ln2^2*s6 - 229824000*ln2*s7a + 
    52416000*ln2*s7b - 502643925*s8a - 3833928000*s8b - 308448000*s8c - 
    425376000*s8d + 84672000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    823200*ln2^6*z2 + 1252944000*s6*z2 - 51206400*li4half*z2^2 - 
    5602800*ln2^4*z2^2 - 100245600*ln2^2*z2^3 + 131079792*z2^4 + 
    836640000*li5half*z3 - 63504000*li4half*ln2*z3 - 10323600*ln2^5*z3 + 
    92652000*ln2^3*z2*z3 + 510665400*ln2*z2^2*z3 - 197379000*ln2^2*z3^2 + 
    304542000*z2*z3^2 - 272244000*ln2^3*z5 + 729036000*ln2*z2*z5 - 
    322961625*z3*z5 + 975996000*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 + 1580544000*li8half + 790272000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 - 88200*ln2^8 - 445536000*ln2^2*s6 + 
    227808000*ln2*s7a - 252000000*ln2*s7b + 839755350*s8a + 4853520000*s8b + 
    604800000*s8c + 425376000*s8d - 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 431200*ln2^6*z2 - 1401120000*s6*z2 + 
    109065600*li4half*z2^2 + 3427200*ln2^4*z2^2 + 106696800*ln2^2*z2^3 - 
    80778744*z2^4 - 850752000*li5half*z3 - 35280000*li4half*ln2*z3 + 
    5149200*ln2^5*z3 - 62076000*ln2^3*z2*z3 - 552333600*ln2*z2^2*z3 + 
    107982000*ln2^2*z3^2 - 612360000*z2*z3^2 + 455112000*ln2^3*z5 - 
    1003590000*ln2*z2*z5 + 766001250*z3*z5 - 2134967625*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, -1, 0, -1, 1] -> 
  (-37632000*li4half^2 - 131712000*li8half - 150528000*li7half*ln2 - 
    28224000*li6half*ln2^2 + 3136000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 
    71400*ln2^8 - 57792000*ln2^2*s6 - 9408000*ln2*s7a - 79968000*ln2*s7b + 
    194873700*s8a + 888048000*s8b + 172032000*s8c + 44352000*s8d + 
    18816000*li6half*z2 - 18816000*li5half*ln2*z2 + 
    9408000*li4half*ln2^2*z2 + 705600*ln2^6*z2 - 213360000*s6*z2 + 
    37564800*li4half*z2^2 - 1688400*ln2^4*z2^2 + 8652000*ln2^2*z2^3 + 
    32367632*z2^4 - 32256000*li5half*z3 - 44688000*li4half*ln2*z3 - 
    1906800*ln2^5*z3 + 11620000*ln2^3*z2*z3 - 56952000*ln2*z2^2*z3 - 
    59472000*ln2^2*z3^2 - 161658000*z2*z3^2 + 52773000*ln2^3*z5 - 
    237237000*ln2*z2*z5 + 135481500*z3*z5 - 541345875*ln2*z7)/18816000, 
 H[-1, 1, 1, -1, -1, -1, -1, 1, 1] -> 
  (282240000*li8half + 112896000*li7half*ln2 - 9408000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 - 36400*ln2^8 - 1008000*ln2^2*s6 + 
    14112000*ln2*s7a - 14112000*ln2*s7b + 46445175*s8a + 315000000*s8b - 
    26208000*s8c + 68544000*s8d + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 470400*ln2^6*z2 - 158256000*s6*z2 + 
    20764800*li4half*z2^2 - 16800*ln2^4*z2^2 - 2032800*ln2^2*z2^3 - 
    59363832*z2^4 - 186480000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    915600*ln2^5*z3 - 3780000*ln2^3*z2*z3 - 31159800*ln2*z2^2*z3 + 
    38745000*ln2^2*z3^2 - 35910000*z2*z3^2 + 41454000*ln2^3*z5 + 
    92736000*ln2*z2*z5 + 260481375*z3*z5 - 144813375*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, -1, -1, 0, 1] -> 
  (846720000*li8half + 282240000*li7half*ln2 - 9408000*li5half*ln2^3 + 
    43400*ln2^8 - 109872000*ln2^2*s6 + 2016000*ln2*s7a - 40320000*ln2*s7b + 
    197241975*s8a + 1480248000*s8b + 159264000*s8c + 122976000*s8d - 
    56448000*li6half*z2 - 313600*ln2^6*z2 - 372960000*s6*z2 + 
    24595200*li4half*z2^2 + 2083200*ln2^4*z2^2 + 32306400*ln2^2*z2^3 - 
    20813064*z2^4 - 238896000*li5half*z3 + 2461200*ln2^5*z3 - 
    24612000*ln2^3*z2*z3 - 167416200*ln2*z2^2*z3 + 15403500*ln2^2*z3^2 - 
    133780500*z2*z3^2 + 50421000*ln2^3*z5 - 343917000*ln2*z2*z5 - 
    42800625*z3*z5 - 586230750*ln2*z7)/56448000, 
 H[-1, 1, 1, -1, -1, -1, -1, -1, 1] -> 
  (-56448000*li8half - 28224000*li7half*ln2 - 4704000*li6half*ln2^2 - 
    2100*ln2^8 + 1344000*ln2^2*s6 - 4704000*ln2*s7a + 22575*s8a - 
    31920000*s8b + 6720000*s8c - 13776000*s8d + 4704000*li6half*z2 + 
    19600*ln2^6*z2 + 31080000*s6*z2 - 2755200*li4half*z2^2 - 
    261800*ln2^4*z2^2 - 308000*ln2^2*z2^3 + 11402052*z2^4 + 
    27552000*li5half*z3 - 229600*ln2^5*z3 + 3080000*ln2^3*z2*z3 + 
    7383600*ln2*z2^2*z3 - 11529000*ln2^2*z3^2 - 2541000*z2*z3^2 - 
    6909000*ln2^3*z5 - 15603000*ln2*z2*z5 - 29035125*z3*z5 - 33111750*ln2*z7)/
   9408000, H[-1, 1, 0, 1, 1, 1, 1, 1, 1] -> 
  (-6048000*li4half^2 + 28224000*li8half + 24192000*li7half*ln2 + 
    10080000*li6half*ln2^2 + 2688000*li5half*ln2^3 - 2000*ln2^8 + 
    1008000*ln2^2*s6 - 1901025*s8a + 12600000*s8b - 2016000*s8c + 
    2016000*s8d - 10080000*li6half*z2 - 8064000*li5half*ln2*z2 + 
    22400*ln2^6*z2 - 4032000*s6*z2 + 403200*li4half*z2^2 - 67200*ln2^4*z2^2 - 
    511200*ln2^2*z2^3 - 570024*z2^4 + 10080000*li5half*z3 - 25200*ln2^5*z3 + 
    252000*ln2^3*z2*z3 + 2230200*ln2*z2^2*z3 + 283500*ln2^2*z3^2 + 
    1291500*z2*z3^2 + 6048000*ln2*z2*z5 - 12371625*z3*z5 - 24192000*ln2*z7)/
   4032000, H[-1, 1, 0, 1, 1, 1, 1, 0, 1] -> 
  (1728000*li4half^2 + 144000*li4half*ln2^4 + 3000*ln2^8 - 864000*ln2^2*s6 + 
    1440000*ln2*s7a + 1440000*ln2*s7b - 738900*s8a + 2880000*s8b - 
    1152000*s8c + 1152000*s8d + 2880000*li6half*z2 + 2304000*li5half*ln2*z2 - 
    15200*ln2^6*z2 - 2304000*s6*z2 + 403200*li4half*z2^2 + 40800*ln2^4*z2^2 + 
    410400*ln2^2*z2^3 - 183744*z2^4 - 6912000*li5half*z3 - 
    432000*li4half*ln2*z3 + 39600*ln2^5*z3 - 300000*ln2^3*z2*z3 - 
    1072800*ln2*z2^2*z3 + 666000*ln2^2*z3^2 + 2034000*z2*z3^2 - 
    198000*ln2*z2*z5 - 2434500*z3*z5 + 3706875*ln2*z7)/1152000, 
 H[-1, 1, 0, 1, 1, 1, 1, -1, 1] -> (403200*li4half^2 - 49996800*li8half - 
    8064000*li7half*ln2 - 1209600*li6half*ln2^2 - 672000*li5half*ln2^3 - 
    67200*li4half*ln2^4 + 780*ln2^8 + 1584000*ln2^2*s6 + 1238400*ln2*s7a - 
    576000*ln2*s7b - 8235675*s8a - 52214400*s8b - 6048000*s8c - 2217600*s8d + 
    1209600*li6half*z2 + 2016000*li5half*ln2*z2 + 806400*li4half*ln2^2*z2 - 
    11200*ln2^6*z2 + 8769600*s6*z2 - 524160*li4half*z2^2 + 
    147000*ln2^4*z2^2 + 1488960*ln2^2*z2^3 + 2984616*z2^4 + 
    3427200*li5half*z3 - 1915200*li4half*ln2*z3 - 120120*ln2^5*z3 + 
    882000*ln2^3*z2*z3 + 6163200*ln2*z2^2*z3 + 1680300*ln2^2*z3^2 + 
    6659100*z2*z3^2 + 1757700*ln2^3*z5 + 19892700*ln2*z2*z5 + 3098025*z3*z5 - 
    6324075*ln2*z7)/806400, H[-1, 1, 0, 1, 1, 1, 0, 1, 1] -> 
  (21168000*li4half^2 + 1764000*li4half*ln2^4 + 36750*ln2^8 - 
    28728000*ln2^2*s6 - 12096000*ln2*s7a - 82656000*ln2*s7b + 132117300*s8a + 
    423612000*s8b + 116928000*s8c - 11088000*s8d + 70560000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 10584000*li4half*ln2^2*z2 + 68600*ln2^6*z2 - 
    13104000*s6*z2 - 22327200*li4half*z2^2 - 1665300*ln2^4*z2^2 + 
    6001800*ln2^2*z2^3 + 5817288*z2^4 - 13104000*li5half*z3 + 
    10584000*li4half*ln2*z3 + 550200*ln2^5*z3 + 378000*ln2^3*z2*z3 - 
    58224600*ln2*z2^2*z3 - 1023750*ln2^2*z3^2 - 134331750*z2*z3^2 + 
    68355000*ln2^3*z5 - 162225000*ln2*z2*z5 + 183377250*z3*z5 - 
    440976375*ln2*z7)/14112000, H[-1, 1, 0, 1, 1, 1, 0, 0, 1] -> 
  (-9408000*ln2^2*s6 + 12768000*ln2*s7a + 12768000*ln2*s7b - 11720100*s8a - 
    16296000*s8b - 6720000*s8c + 6720000*s8d - 1680000*s6*z2 - 
    12062400*li4half*z2^2 - 502600*ln2^4*z2^2 + 3424400*ln2^2*z2^3 + 
    2434344*z2^4 + 14784000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    758800*ln2^5*z3 - 4060000*ln2^3*z2*z3 - 9996000*ln2*z2^2*z3 + 
    11025000*ln2^2*z3^2 + 5848500*z2*z3^2 - 31458000*ln2*z2*z5 - 
    13503000*z3*z5 + 95993625*ln2*z7)/9408000, 
 H[-1, 1, 0, 1, 1, 1, 0, -1, 1] -> 
  (98784000*li4half^2 + 8232000*li4half*ln2^4 + 171500*ln2^8 + 
    56448000*ln2^2*s6 - 32256000*ln2*s7a + 108864000*ln2*s7b - 
    196852950*s8a - 1315440000*s8b - 118944000*s8c - 163296000*s8d + 
    70560000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    49392000*li4half*ln2^2*z2 - 2430400*ln2^6*z2 + 538272000*s6*z2 - 
    112392000*li4half*z2^2 + 4725000*ln2^4*z2^2 - 10441200*ln2^2*z2^3 - 
    5127792*z2^4 + 298368000*li5half*z3 + 176400000*li4half*ln2*z3 + 
    4863600*ln2^5*z3 - 33642000*ln2^3*z2*z3 + 71001000*ln2*z2^2*z3 + 
    15655500*ln2^2*z3^2 + 105084000*z2*z3^2 - 113925000*ln2^3*z5 - 
    92169000*ln2*z2*z5 - 236864250*z3*z5 + 999203625*ln2*z7)/28224000, 
 H[-1, 1, 0, 1, 1, 1, -1, 1, 1] -> (-2257920*li4half^2 + 212244480*li8half + 
    6773760*li7half*ln2 - 5080320*li6half*ln2^2 - 376320*li4half*ln2^4 - 
    14896*ln2^8 - 16632000*ln2^2*s6 - 5483520*ln2*s7a - 2096640*ln2*s7b + 
    61351605*s8a + 379149120*s8b + 43948800*s8c + 26046720*s8d + 
    5080320*li6half*z2 + 181888*ln2^6*z2 - 86950080*s6*z2 + 
    7241472*li4half*z2^2 - 1429344*ln2^4*z2^2 - 2966544*ln2^2*z2^3 - 
    12297384*z2^4 - 52093440*li5half*z3 - 2257920*li4half*ln2*z3 + 
    323568*ln2^5*z3 - 3612000*ln2^3*z2*z3 - 42229656*ln2*z2^2*z3 - 
    10759140*ln2^2*z3^2 - 47929140*z2*z3^2 - 3281040*ln2^3*z5 - 
    125793360*ln2*z2*z5 + 23140845*z3*z5 - 21748230*ln2*z7)/1128960, 
 H[-1, 1, 0, 1, 1, 1, -1, 0, 1] -> (16934400*li4half^2 - 1806336000*li8half - 
    361267200*li7half*ln2 - 22579200*li6half*ln2^2 + 1411200*li4half*ln2^4 + 
    24920*ln2^8 + 158659200*ln2^2*s6 + 10483200*ln2*s7a + 58464000*ln2*s7b - 
    482573700*s8a - 3084681600*s8b - 329817600*s8c - 229017600*s8d - 
    28224000*li6half*z2 - 11289600*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 745920000*s6*z2 - 
    66407040*li4half*z2^2 + 5253360*ln2^4*z2^2 + 2217600*ln2^2*z2^3 + 
    113811192*z2^4 + 480614400*li5half*z3 + 53625600*li4half*ln2*z3 - 
    1770720*ln2^5*z3 + 24998400*ln2^3*z2*z3 + 316617840*ln2*z2^2*z3 + 
    42197400*ln2^2*z3^2 + 359818200*z2*z3^2 - 46481400*ln2^3*z5 + 
    816039000*ln2*z2*z5 - 187620300*z3*z5 + 681280425*ln2*z7)/11289600, 
 H[-1, 1, 0, 1, 1, 1, -1, -1, 1] -> 
  (225792000*li4half^2 - 7507584000*li8half - 112896000*li7half*ln2 + 
    310464000*li6half*ln2^2 + 28224000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 + 816200*ln2^8 + 582624000*ln2^2*s6 + 
    86688000*ln2*s7a - 54432000*ln2*s7b - 2046419550*s8a - 14132160000*s8b - 
    1253952000*s8c - 1356768000*s8d - 141120000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 183456000*li4half*ln2^2*z2 - 
    14151200*ln2^6*z2 + 3969504000*s6*z2 - 449164800*li4half*z2^2 + 
    67074000*ln2^4*z2^2 + 82353600*ln2^2*z2^3 + 559370592*z2^4 + 
    2755872000*li5half*z3 + 465696000*li4half*ln2*z3 - 2738400*ln2^5*z3 + 
    62664000*ln2^3*z2*z3 + 1554184800*ln2*z2^2*z3 + 299691000*ln2^2*z3^2 + 
    1468341000*z2*z3^2 + 145824000*ln2^3*z5 + 3898818000*ln2*z2*z5 - 
    1358484750*z3*z5 + 426911625*ln2*z7)/56448000, 
 H[-1, 1, 0, 1, 1, 0, 1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    47040000*ln2^2*s6 + 12096000*ln2*s7a + 82656000*ln2*s7b - 121509150*s8a - 
    581280000*s8b - 118272000*s8c - 22848000*s8d - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 116256000*s6*z2 - 
    11625600*li4half*z2^2 + 1279600*ln2^4*z2^2 - 6820800*ln2^2*z2^3 - 
    12045144*z2^4 - 29568000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    47600*ln2^5*z3 - 700000*ln2^3*z2*z3 + 45040800*ln2*z2^2*z3 - 
    3822000*ln2^2*z3^2 + 146622000*z2*z3^2 - 91140000*ln2^3*z5 + 
    178164000*ln2*z2*z5 - 171591000*z3*z5 + 440976375*ln2*z7)/18816000, 
 H[-1, 1, 0, 1, 1, 0, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    14112000*ln2^2*s6 - 12768000*ln2*s7a - 12768000*ln2*s7b - 4258800*s8a - 
    4284000*s8b - 2688000*s8c + 2688000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 5376000*s6*z2 + 18530400*li4half*z2^2 - 
    991900*ln2^4*z2^2 - 5198200*ln2^2*z2^3 - 6540488*z2^4 + 
    32256000*li5half*z3 - 21168000*li4half*ln2*z3 - 1150800*ln2^5*z3 + 
    7980000*ln2^3*z2*z3 + 23079000*ln2*z2^2*z3 - 9702000*ln2^2*z3^2 - 
    4231500*z2*z3^2 + 39065250*ln2*z2*z5 - 4247250*z3*z5 - 64645875*ln2*z7)/
   4704000, H[-1, 1, 0, 1, 1, 0, 1, -1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 - 2534400*ln2^2*s6 + 
    3340800*ln2*s7a - 2707200*ln2*s7b - 9676800*li5half*ln2*z2 - 
    6451200*li4half*ln2^2*z2 - 188160*ln2^6*z2 - 806400*s6*z2 - 
    443520*li4half*z2^2 + 838320*ln2^4*z2^2 - 1506240*ln2^2*z2^3 - 
    239544*z2^4 + 6451200*li5half*z3 + 7459200*li4half*ln2*z3 + 
    257040*ln2^5*z3 - 1327200*ln2^3*z2*z3 - 2880*ln2*z2^2*z3 + 
    4982400*ln2^2*z3^2 - 806400*z2*z3^2 + 5859000*ln2^3*z5 + 
    11203200*ln2*z2*z5 - 2041200*z3*z5 - 513675*ln2*z7)/1612800, 
 H[-1, 1, 0, 1, 1, 0, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    18144000*ln2^2*s6 + 22176000*ln2*s7a + 3360000*ln2*s7b + 27027525*s8a + 
    133560000*s8b + 1344000*s8c + 26880000*s8d - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 63168000*s6*z2 - 11558400*li4half*z2^2 + 
    1282400*ln2^4*z2^2 + 9962400*ln2^2*z2^3 - 6882276*z2^4 - 
    91392000*li5half*z3 + 21168000*li4half*ln2*z3 + 1643600*ln2^5*z3 - 
    12908000*ln2^3*z2*z3 - 37674000*ln2*z2^2*z3 + 24150000*ln2^2*z3^2 - 
    21000000*z2*z3^2 + 18228000*ln2^3*z5 - 39333000*ln2*z2*z5 + 
    139734000*z3*z5 + 22677375*ln2*z7)/9408000, 
 H[-1, 1, 0, 1, 1, 0, 0, 0, 1] -> (-5376000*ln2*s7a - 5376000*ln2*s7b + 
    2316825*s8a + 672000*s8b + 10752000*s8c - 10752000*s8d + 23856000*s6*z2 + 
    2788800*li4half*z2^2 + 116200*ln2^4*z2^2 - 1862000*ln2^2*z2^3 + 
    8014452*z2^4 + 21504000*li5half*z3 - 179200*ln2^5*z3 + 
    1792000*ln2^3*z2*z3 + 7232400*ln2*z2^2*z3 - 5880000*ln2^2*z3^2 - 
    7402500*z2*z3^2 - 17640000*ln2*z2*z5 - 44163000*z3*z5 - 49234500*ln2*z7)/
   4704000, H[-1, 1, 0, 1, 1, 0, 0, -1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    84672000*ln2^2*s6 - 179424000*ln2*s7a - 122976000*ln2*s7b + 
    36064350*s8a - 240408000*s8b + 161280000*s8c - 274176000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 633024000*s6*z2 + 
    75700800*li4half*z2^2 + 4918200*ln2^4*z2^2 - 55717200*ln2^2*z2^3 + 
    125471736*z2^4 + 463680000*li5half*z3 - 261072000*li4half*ln2*z3 - 
    14742000*ln2^5*z3 + 66864000*ln2^3*z2*z3 + 241844400*ln2*z2^2*z3 - 
    258426000*ln2^2*z3^2 - 88326000*z2*z3^2 - 45570000*ln2^3*z5 - 
    190732500*ln2*z2*z5 - 680415750*z3*z5 - 1345719375*ln2*z7)/28224000, 
 H[-1, 1, 0, 1, 1, 0, -1, 1, 1] -> 
  (90316800*li4half^2 + 7526400*li4half*ln2^4 + 156800*ln2^8 - 
    49392000*ln2^2*s6 + 62496000*ln2*s7a + 62496000*ln2*s7b + 51781275*s8a + 
    482932800*s8b - 37497600*s8c + 164505600*s8d + 67737600*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 611520*ln2^6*z2 - 386870400*s6*z2 - 
    30885120*li4half*z2^2 - 8342880*ln2^4*z2^2 + 50772960*ln2^2*z2^3 - 
    48564288*z2^4 - 402393600*li5half*z3 + 45158400*li4half*ln2*z3 + 
    5234880*ln2^5*z3 - 22596000*ln2^3*z2*z3 - 160823880*ln2*z2^2*z3 + 
    80306100*ln2^2*z3^2 - 4643100*z2*z3^2 - 92521800*ln2*z2*z5 + 
    479989125*z3*z5 + 392737275*ln2*z7)/11289600, 
 H[-1, 1, 0, 1, 1, 0, -1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    7056000*ln2^2*s6 - 12432000*ln2*s7a - 12432000*ln2*s7b + 2254350*s8a - 
    2856000*s8b + 10752000*s8c - 10752000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 + 21504000*s6*z2 + 7551600*li4half*z2^2 - 
    567350*ln2^4*z2^2 - 4282600*ln2^2*z2^3 + 4521781*z2^4 + 
    35616000*li5half*z3 - 14112000*li4half*ln2*z3 - 884800*ln2^5*z3 + 
    6496000*ln2^3*z2*z3 + 15052800*ln2*z2^2*z3 - 13046250*ln2^2*z3^2 - 
    5969250*z2*z3^2 + 5236875*ln2*z2*z5 - 40175625*z3*z5 - 81445875*ln2*z7)/
   2352000, H[-1, 1, 0, 1, 1, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    17136000*ln2^2*s6 - 42336000*ln2*s7a - 42336000*ln2*s7b + 34991775*s8a + 
    148680000*s8b + 50400000*s8c - 36288000*s8d + 42336000*li4half*ln2^2*z2 + 
    1764000*ln2^6*z2 + 58464000*s6*z2 + 60480000*li4half*z2^2 - 
    2772000*ln2^4*z2^2 - 19236000*ln2^2*z2^3 + 23393064*z2^4 + 
    63168000*li5half*z3 - 155232000*li4half*ln2*z3 - 6994400*ln2^5*z3 + 
    44072000*ln2^3*z2*z3 + 70959000*ln2*z2^2*z3 - 95581500*ln2^2*z3^2 - 
    30009000*z2*z3^2 - 4557000*ln2^3*z5 - 13167000*ln2*z2*z5 - 
    138135375*z3*z5 - 483942375*ln2*z7)/18816000, 
 H[-1, 1, 0, 1, 1, -1, 1, 1, 1] -> (24192000*li4half^2 - 2161152000*li8half - 
    120960000*li7half*ln2 - 12096000*li6half*ln2^2 - 13440000*li5half*ln2^3 + 
    2016000*li4half*ln2^4 + 107600*ln2^8 + 214560000*ln2^2*s6 + 
    29376000*ln2*s7a + 11232000*ln2*s7b - 685973925*s8a - 4370184000*s8b - 
    481824000*s8c - 364896000*s8d + 12096000*li6half*z2 + 
    40320000*li5half*ln2*z2 + 12096000*li4half*ln2^2*z2 - 1198400*ln2^6*z2 + 
    1150128000*s6*z2 - 95961600*li4half*z2^2 + 15086400*ln2^4*z2^2 + 
    2196000*ln2^2*z2^3 + 130628592*z2^4 + 659232000*li5half*z3 + 
    12096000*li4half*ln2*z3 - 5166000*ln2^5*z3 + 53676000*ln2^3*z2*z3 + 
    500909400*ln2*z2^2*z3 + 88128000*ln2^2*z3^2 + 536697000*z2*z3^2 + 
    17577000*ln2^3*z5 + 1413045000*ln2*z2*z5 - 422848125*z3*z5 + 
    201180375*ln2*z7)/8064000, H[-1, 1, 0, 1, 1, -1, 1, 0, 1] -> 
  (-14112000*li4half^2 + 4515840000*li8half + 903168000*li7half*ln2 + 
    56448000*li6half*ln2^2 - 1176000*li4half*ln2^4 - 13300*ln2^8 - 
    670488000*ln2^2*s6 + 156240000*ln2*s7a - 165984000*ln2*s7b + 
    1554119700*s8a + 9864624000*s8b + 1059072000*s8c + 902496000*s8d - 
    14112000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 627200*ln2^6*z2 - 2794008000*s6*z2 + 
    193905600*li4half*z2^2 - 9619400*ln2^4*z2^2 + 103857600*ln2^2*z2^3 - 
    300785388*z2^4 - 1748544000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    14277200*ln2^5*z3 - 146006000*ln2^3*z2*z3 - 1180473000*ln2*z2^2*z3 + 
    40929000*ln2^2*z3^2 - 1169154000*z2*z3^2 + 312154500*ln2^3*z5 - 
    2677437000*ln2*z2*z5 + 1297096500*z3*z5 - 1628757375*ln2*z7)/9408000, 
 H[-1, 1, 0, 1, 1, -1, 1, -1, 1] -> 
  (48384000*li4half^2 + 2282112000*li8half + 153216000*li7half*ln2 + 
    4032000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 4032000*li4half*ln2^4 + 
    37400*ln2^8 - 276192000*ln2^2*s6 + 70560000*ln2*s7a + 62496000*ln2*s7b + 
    701901900*s8a + 4755744000*s8b + 423360000*s8c + 506016000*s8d - 
    4032000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    18144000*li4half*ln2^2*z2 + 991200*ln2^6*z2 - 1482768000*s6*z2 + 
    61286400*li4half*z2^2 - 19328400*ln2^4*z2^2 + 32508000*ln2^2*z2^3 - 
    176895936*z2^4 - 997920000*li5half*z3 + 78624000*li4half*ln2*z3 + 
    11768400*ln2^5*z3 - 87192000*ln2^3*z2*z3 - 655326000*ln2*z2^2*z3 + 
    23310000*ln2^2*z3^2 - 498204000*z2*z3^2 + 1953000*ln2^3*z5 - 
    1435833000*ln2*z2*z5 + 706797000*z3*z5 + 296737875*ln2*z7)/8064000, 
 H[-1, 1, 0, 1, 1, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 1935360000*li8half - 774144000*li7half*ln2 - 
    96768000*li6half*ln2^2 - 2352000*li4half*ln2^4 - 77800*ln2^8 + 
    488016000*ln2^2*s6 - 220896000*ln2*s7a + 218592000*ln2*s7b - 
    904536675*s8a - 5431608000*s8b - 639072000*s8c - 522144000*s8d - 
    120960000*li6half*z2 - 64512000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 1590624000*s6*z2 - 
    77616000*li4half*z2^2 - 1554000*ln2^4*z2^2 - 122863200*ln2^2*z2^3 + 
    145472712*z2^4 + 1084608000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    9626400*ln2^5*z3 + 90384000*ln2^3*z2*z3 + 697527000*ln2*z2^2*z3 - 
    145930500*ln2^2*z3^2 + 689251500*z2*z3^2 - 425754000*ln2^3*z5 + 
    1258470000*ln2*z2*z5 - 1019993625*z3*z5 + 1740290625*ln2*z7)/8064000, 
 H[-1, 1, 0, 1, 1, -1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    175896000*ln2^2*s6 + 48384000*ln2*s7a - 106848000*ln2*s7b + 
    341222175*s8a + 1596924000*s8b + 290304000*s8c + 133056000*s8d - 
    169344000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 - 551880000*s6*z2 + 
    19908000*li4half*z2^2 - 8578500*ln2^4*z2^2 + 88179000*ln2^2*z2^3 + 
    41404428*z2^4 - 294336000*li5half*z3 - 3528000*li4half*ln2*z3 + 
    2305800*ln2^5*z3 - 23646000*ln2^3*z2*z3 - 221104800*ln2*z2^2*z3 + 
    10284750*ln2^2*z3^2 - 250582500*z2*z3^2 + 150381000*ln2^3*z5 - 
    541280250*ln2*z2*z5 + 509197500*z3*z5 - 577859625*ln2*z7)/14112000, 
 H[-1, 1, 0, 1, 1, -1, 0, -1, 1] -> 
  (-64512000*li4half^2 + 2580480000*li8half + 774144000*li7half*ln2 + 
    96768000*li6half*ln2^2 + 10752000*li5half*ln2^3 - 5376000*li4half*ln2^4 - 
    156800*ln2^8 - 512928000*ln2^2*s6 + 81504000*ln2*s7a - 
    325728000*ln2*s7b + 1183284900*s8a + 6685056000*s8b + 935424000*s8c + 
    459648000*s8d - 205632000*li6half*z2 - 64512000*li5half*ln2*z2 + 
    10080000*li4half*ln2^2*z2 + 985600*ln2^6*z2 - 1696464000*s6*z2 + 
    147168000*li4half*z2^2 - 302400*ln2^4*z2^2 + 111386400*ln2^2*z2^3 - 
    73031136*z2^4 - 887040000*li5half*z3 - 86688000*li4half*ln2*z3 + 
    3780000*ln2^5*z3 - 69888000*ln2^3*z2*z3 - 709275600*ln2*z2^2*z3 - 
    35271000*ln2^2*z3^2 - 927486000*z2*z3^2 + 391251000*ln2^3*z5 - 
    1828404000*ln2*z2*z5 + 812794500*z3*z5 - 2572531875*ln2*z7)/8064000, 
 H[-1, 1, 0, 1, 1, -1, -1, 1, 1] -> 
  (937036800*li8half - 11289600*li7half*ln2 - 28224000*li6half*ln2^2 + 
    7526400*li5half*ln2^3 + 1411200*li4half*ln2^4 - 17640*ln2^8 - 
    82857600*ln2^2*s6 - 32256000*ln2*s7a + 55238400*ln2*s7b + 274572900*s8a + 
    1728115200*s8b + 159667200*s8c + 173376000*s8d + 28224000*li6half*z2 - 
    8467200*li4half*ln2^2*z2 + 556640*ln2^6*z2 - 477993600*s6*z2 + 
    35521920*li4half*z2^2 - 6140400*ln2^4*z2^2 + 5433120*ln2^2*z2^3 - 
    83132568*z2^4 - 352396800*li5half*z3 + 8467200*li4half*ln2*z3 + 
    3536400*ln2^5*z3 - 32894400*ln2^3*z2*z3 - 239893920*ln2*z2^2*z3 - 
    28860300*ln2^2*z3^2 - 219460500*z2*z3^2 - 82026000*ln2^3*z5 - 
    643998600*ln2*z2*z5 + 311909850*z3*z5 + 291266325*ln2*z7)/11289600, 
 H[-1, 1, 0, 1, 1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 - 18063360000*li8half - 3612672000*li7half*ln2 - 
    225792000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 53200*ln2^8 + 
    2636928000*ln2^2*s6 - 564480000*ln2*s7a + 536256000*ln2*s7b - 
    6195780675*s8a - 38407320000*s8b - 4215456000*s8c - 3405024000*s8d + 
    84672000*li6half*z2 + 225792000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 3371200*ln2^6*z2 + 10599120000*s6*z2 - 
    717696000*li4half*z2^2 + 47947200*ln2^4*z2^2 - 399168000*ln2^2*z2^3 + 
    1190897352*z2^4 + 6556032000*li5half*z3 - 141120000*li4half*ln2*z3 - 
    60513600*ln2^5*z3 + 593964000*ln2^3*z2*z3 + 4663524600*ln2*z2^2*z3 - 
    102879000*ln2^2*z3^2 + 4729567500*z2*z3^2 - 1066338000*ln2^3*z5 + 
    10955574000*ln2*z2*z5 - 5084974125*z3*z5 + 5758688250*ln2*z7)/56448000, 
 H[-1, 1, 0, 1, 1, -1, -1, -1, 1] -> 
  (-40320000*li4half^2 - 790272000*li8half - 24192000*li7half*ln2 + 
    12096000*li6half*ln2^2 - 4032000*li5half*ln2^3 - 4368000*li4half*ln2^4 - 
    76400*ln2^8 + 53568000*ln2^2*s6 - 19296000*ln2*s7a - 73728000*ln2*s7b - 
    133605675*s8a - 1117368000*s8b - 50400000*s8c - 145152000*s8d - 
    36288000*li6half*z2 - 4032000*li5half*ln2*z2 + 
    22176000*li4half*ln2^2*z2 + 263200*ln2^6*z2 + 369936000*s6*z2 + 
    3830400*li4half*z2^2 + 4972800*ln2^4*z2^2 + 3240000*ln2^2*z2^3 + 
    78002352*z2^4 + 292320000*li5half*z3 - 71568000*li4half*ln2*z3 - 
    5594400*ln2^5*z3 + 37968000*ln2^3*z2*z3 + 187932600*ln2*z2^2*z3 - 
    29695500*ln2^2*z3^2 + 85995000*z2*z3^2 + 51429000*ln2^3*z5 + 
    367524000*ln2*z2*z5 - 141411375*z3*z5 - 492279750*ln2*z7)/8064000, 
 H[-1, 1, 0, 1, 0, 1, 1, 1, 1] -> (56448000*li4half^2 - 564480000*li8half - 
    451584000*li7half*ln2 - 169344000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 + 56000*ln2^8 - 104328000*ln2^2*s6 + 
    68544000*ln2*s7a + 26208000*ln2*s7b + 50327550*s8a + 258048000*s8b + 
    50400000*s8c + 55440000*s8d + 169344000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 627200*ln2^6*z2 - 153216000*s6*z2 - 
    201600*li4half*z2^2 + 2343600*ln2^4*z2^2 + 28845600*ln2^2*z2^3 + 
    18687468*z2^4 - 308448000*li5half*z3 + 2570400*ln2^5*z3 - 
    25704000*ln2^3*z2*z3 - 139318200*ln2*z2^2*z3 + 42210000*ln2^2*z3^2 - 
    22365000*z2*z3^2 + 68355000*ln2^3*z5 - 308889000*ln2*z2*z5 + 
    333128250*z3*z5 + 638764875*ln2*z7)/28224000, 
 H[-1, 1, 0, 1, 0, 1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 92736000*ln2*s7a - 92736000*ln2*s7b + 25663050*s8a - 
    178920000*s8b + 129024000*s8c - 129024000*s8d - 169344000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 705600*ln2^6*z2 + 247464000*s6*z2 - 
    17337600*li4half*z2^2 - 3074400*ln2^4*z2^2 - 27552000*ln2^2*z2^3 + 
    80092128*z2^4 + 483840000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    3444000*ln2^5*z3 + 36792000*ln2^3*z2*z3 + 117129600*ln2*z2^2*z3 - 
    91728000*ln2^2*z3^2 - 115510500*z2*z3^2 - 110250000*ln2*z2*z5 - 
    285311250*z3*z5 - 433211625*ln2*z7)/28224000, 
 H[-1, 1, 0, 1, 0, 1, 1, -1, 1] -> (-98784000*li4half^2 + 846720000*li8half + 
    225792000*li7half*ln2 + 84672000*li6half*ln2^2 + 28224000*li5half*ln2^3 - 
    5880000*li4half*ln2^4 - 214900*ln2^8 + 83916000*ln2^2*s6 - 
    147168000*ln2*s7a - 69552000*ln2*s7b + 101976525*s8a + 299628000*s8b + 
    186480000*s8c - 175896000*s8d - 84672000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 1234800*ln2^6*z2 + 
    316512000*s6*z2 + 40672800*li4half*z2^2 - 6507900*ln2^4*z2^2 - 
    69182400*ln2^2*z2^3 + 17938164*z2^4 + 394128000*li5half*z3 - 
    104076000*li4half*ln2*z3 - 7620900*ln2^5*z3 + 25788000*ln2^3*z2*z3 + 
    112303800*ln2*z2^2*z3 - 211286250*ln2^2*z3^2 - 121007250*z2*z3^2 - 
    78608250*ln2^3*z5 - 347303250*ln2*z2*z5 - 563298750*z3*z5 - 
    465546375*ln2*z7)/14112000, H[-1, 1, 0, 1, 0, 1, 0, 1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 + 2419200*ln2^2*s6 - 
    1612800*ln2*s7a + 1612800*ln2*s7b - 3951675*s8a - 20512800*s8b - 
    3225600*s8c - 1612800*s8d - 4838400*li6half*z2 - 3225600*li5half*ln2*z2 - 
    403200*li4half*ln2^2*z2 + 3360*ln2^6*z2 + 4536000*s6*z2 + 
    322560*li4half*z2^2 - 3360*ln2^4*z2^2 - 694080*ln2^2*z2^3 + 270378*z2^4 + 
    5241600*li5half*z3 - 403200*li4half*ln2*z3 - 60480*ln2^5*z3 + 
    537600*ln2^3*z2*z3 + 3376800*ln2*z2^2*z3 - 1171800*ln2^2*z3^2 + 
    3635100*z2*z3^2 - 3124800*ln2^3*z5 + 7988400*ln2*z2*z5 - 6629175*z3*z5 + 
    7194600*ln2*z7)/403200, H[-1, 1, 0, 1, 0, 1, 0, 0, 1] -> 
  (6720000*ln2*s7a + 6720000*ln2*s7b - 5278350*s8a + 26208000*s8b - 
    13440000*s8c + 13440000*s8d - 36288000*s6*z2 + 5980800*li4half*z2^2 + 
    249200*ln2^4*z2^2 - 117600*ln2^2*z2^3 - 5378346*z2^4 - 
    55104000*li5half*z3 - 14112000*li4half*ln2*z3 - 128800*ln2^5*z3 - 
    1064000*ln2^3*z2*z3 - 9290400*ln2*z2^2*z3 + 5586000*ln2^2*z3^2 + 
    16695000*z2*z3^2 + 25284000*ln2*z2*z5 + 26832750*z3*z5 + 36700125*ln2*z7)/
   4704000, H[-1, 1, 0, 1, 0, 1, 0, -1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 6048000*ln2^2*s6 + 
    12096000*ln2*s7a + 4032000*ln2*s7b + 4372200*s8a + 72576000*s8b - 
    8064000*s8c + 24192000*s8d - 6048000*li6half*z2 - 
    4032000*li5half*ln2*z2 + 25200*ln2^6*z2 - 60858000*s6*z2 + 
    1134000*li4half*z2^2 - 414750*ln2^4*z2^2 + 3364200*ln2^2*z2^3 - 
    5926698*z2^4 - 46368000*li5half*z3 + 4536000*li4half*ln2*z3 + 
    575400*ln2^5*z3 - 2352000*ln2^3*z2*z3 - 16461900*ln2*z2^2*z3 + 
    14616000*ln2^2*z3^2 + 3709125*z2*z3^2 + 6510000*ln2^3*z5 + 
    20443500*ln2*z2*z5 + 47171250*z3*z5 + 22270500*ln2*z7)/1008000, 
 H[-1, 1, 0, 1, 0, 1, -1, 1, 1] -> 
  (1176000*li4half^2 + 10752000*li7half*ln2 + 2016000*li6half*ln2^2 + 
    210000*li4half*ln2^4 + 7375*ln2^8 - 5418000*ln2^2*s6 + 2688000*ln2*s7a - 
    2688000*ln2*s7b + 5850600*s8a + 28224000*s8b + 4032000*s8c + 
    4032000*s8d - 2016000*li6half*z2 - 84000*li4half*ln2^2*z2 - 
    31500*ln2^6*z2 - 11382000*s6*z2 - 58800*li4half*z2^2 + 
    335650*ln2^4*z2^2 + 2840200*ln2^2*z2^3 - 261049*z2^4 - 
    8064000*li5half*z3 + 1008000*li4half*ln2*z3 + 109200*ln2^5*z3 - 
    735000*ln2^3*z2*z3 - 4771200*ln2*z2^2*z3 + 3136875*ln2^2*z3^2 - 
    4942875*z2*z3^2 + 5208000*ln2^3*z5 - 4032000*ln2*z2*z5 + 15645000*z3*z5 - 
    22695750*ln2*z7)/336000, H[-1, 1, 0, 1, 0, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    23040000*ln2^2*s6 - 10944000*ln2*s7a + 5184000*ln2*s7b - 35103600*s8a - 
    169344000*s8b - 24192000*s8c - 24192000*s8d + 12096000*li6half*z2 + 
    8064000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 117600*ln2^6*z2 + 
    69300000*s6*z2 + 2268000*li4half*z2^2 + 10500*ln2^4*z2^2 - 
    10430400*ln2^2*z2^3 + 1226604*z2^4 + 32256000*li5half*z3 - 
    18144000*li4half*ln2*z3 - 1024800*ln2^5*z3 + 7224000*ln2^3*z2*z3 + 
    30438000*ln2*z2^2*z3 - 11097000*ln2^2*z3^2 + 30129750*z2*z3^2 - 
    15624000*ln2^3*z5 + 49693500*ln2*z2*z5 - 79569000*z3*z5 + 
    16716375*ln2*z7)/2016000, H[-1, 1, 0, 1, 0, 1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 564480000*li8half - 451584000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    208600*ln2^8 + 218988000*ln2^2*s6 - 28224000*ln2*s7a + 
    141120000*ln2*s7b - 352473975*s8a - 1536696000*s8b - 356832000*s8c + 
    4032000*s8d + 28224000*li5half*ln2*z2 + 59976000*li4half*ln2^2*z2 + 
    2930200*ln2^6*z2 + 150696000*s6*z2 + 17388000*li4half*z2^2 - 
    17474100*ln2^4*z2^2 - 66368400*ln2^2*z2^3 - 27771276*z2^4 - 
    22176000*li5half*z3 - 97020000*li4half*ln2*z3 - 3857700*ln2^5*z3 + 
    47544000*ln2^3*z2*z3 + 175700700*ln2*z2^2*z3 - 1417500*ln2^2*z3^2 + 
    332781750*z2*z3^2 - 166330500*ln2^3*z5 + 657499500*ln2*z2*z5 - 
    86743125*z3*z5 + 1095003000*ln2*z7)/14112000, 
 H[-1, 1, 0, 1, 0, 0, 1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    122976000*ln2^2*s6 - 143136000*ln2*s7a + 40320000*ln2*s7b - 
    156088800*s8a - 928872000*s8b - 100800000*s8c - 124992000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 433440000*s6*z2 - 
    13708800*li4half*z2^2 - 4099200*ln2^4*z2^2 - 39278400*ln2^2*z2^3 + 
    8635812*z2^4 + 475776000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    3376800*ln2^5*z3 + 36120000*ln2^3*z2*z3 + 194468400*ln2*z2^2*z3 - 
    83160000*ln2^2*z3^2 + 39438000*z2*z3^2 - 145824000*ln2^3*z5 + 
    82530000*ln2*z2*z5 - 355902750*z3*z5 + 107690625*ln2*z7)/28224000, 
 H[-1, 1, 0, 1, 0, 0, 1, 0, 1] -> (1152000*li4half^2 + 96000*li4half*ln2^4 + 
    2000*ln2^8 - 576000*ln2^2*s6 + 576000*ln2*s7a + 576000*ln2*s7b + 
    346725*s8a + 648000*s8b - 576000*li4half*ln2^2*z2 - 24000*ln2^6*z2 - 
    360000*s6*z2 - 561600*li4half*z2^2 + 48600*ln2^4*z2^2 + 
    327600*ln2^2*z2^3 + 41871*z2^4 - 2304000*li5half*z3 + 
    864000*li4half*ln2*z3 + 55200*ln2^5*z3 - 408000*ln2^3*z2*z3 - 
    1245600*ln2*z2^2*z3 + 576000*ln2^2*z3^2 + 254250*z2*z3^2 - 
    879750*ln2*z2*z5 + 1544625*z3*z5 + 2368125*ln2*z7)/144000, 
 H[-1, 1, 0, 1, 0, 0, 1, -1, 1] -> 
  (32256000*li4half^2 + 2688000*li4half*ln2^4 + 56000*ln2^8 - 
    44352000*ln2^2*s6 + 26208000*ln2*s7a + 58319100*s8a + 344736000*s8b + 
    32256000*s8c + 48384000*s8d + 48384000*li5half*ln2*z2 + 
    8064000*li4half*ln2^2*z2 - 67200*ln2^6*z2 - 135072000*s6*z2 - 
    10987200*li4half*z2^2 - 457800*ln2^4*z2^2 + 29572800*ln2^2*z2^3 + 
    453576*z2^4 - 129024000*li5half*z3 + 19152000*li4half*ln2*z3 + 
    1873200*ln2^5*z3 - 11760000*ln2^3*z2*z3 - 73105200*ln2*z2^2*z3 + 
    27720000*ln2^2*z3^2 - 40320000*z2*z3^2 + 18879000*ln2^3*z5 - 
    119322000*ln2*z2*z5 + 151546500*z3*z5 - 75497625*ln2*z7)/4032000, 
 H[-1, 1, 0, 1, 0, 0, 0, 1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    9676800*ln2^2*s6 + 7257600*ln2*s7a - 15321600*ln2*s7b + 21749175*s8a + 
    140716800*s8b + 16128000*s8c + 17740800*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 - 60883200*s6*z2 + 9192960*li4half*z2^2 - 
    322560*ln2^4*z2^2 + 719040*ln2^2*z2^3 - 1210212*z2^4 - 
    12902400*li5half*z3 - 8467200*li4half*ln2*z3 - 245280*ln2^5*z3 + 
    1041600*ln2^3*z2*z3 - 7156800*ln2*z2^2*z3 + 3628800*ln2^2*z3^2 - 
    12007800*z2*z3^2 + 21873600*ln2^3*z5 + 945000*ln2*z2*z5 + 
    12099150*z3*z5 - 74851875*ln2*z7)/2822400, 
 H[-1, 1, 0, 1, 0, 0, 0, 0, 1] -> (-137025*s8a - 1512000*s8b + 672000*s6*z2 - 
    470400*li4half*z2^2 - 19600*ln2^4*z2^2 - 74400*ln2^2*z2^3 + 35386*z2^4 - 
    235200*ln2*z2^2*z3 - 378000*z2*z3^2 - 672000*ln2*z2*z5 + 2399250*z3*z5 + 
    1638000*ln2*z7)/336000, H[-1, 1, 0, 1, 0, 0, 0, -1, 1] -> 
  (28224000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 66437700*s8a - 
    347760000*s8b - 51072000*s8c - 24192000*s8d + 93072000*s6*z2 - 
    8836800*li4half*z2^2 - 368200*ln2^4*z2^2 - 10001600*ln2^2*z2^3 - 
    8412762*z2^4 + 76608000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    50400*ln2^5*z3 + 2856000*ln2^3*z2*z3 + 42277200*ln2*z2^2*z3 - 
    2646000*ln2^2*z3^2 + 49255500*z2*z3^2 - 30380000*ln2^3*z5 + 
    61813500*ln2*z2*z5 - 83895000*z3*z5 + 246101625*ln2*z7)/4704000, 
 H[-1, 1, 0, 1, 0, 0, -1, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    17808000*ln2^2*s6 + 16128000*ln2*s7a - 77952000*ln2*s7b + 35463225*s8a + 
    242424000*s8b + 35616000*s8c + 6720000*s8d - 112896000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 352800*ln2^6*z2 - 86352000*s6*z2 + 
    50265600*li4half*z2^2 + 1506400*ln2^4*z2^2 - 44682400*ln2^2*z2^3 + 
    3492856*z2^4 + 108864000*li5half*z3 - 37632000*li4half*ln2*z3 - 
    2475200*ln2^5*z3 + 9660000*ln2^3*z2*z3 + 56040600*ln2*z2^2*z3 - 
    7192500*ln2^2*z3^2 - 11056500*z2*z3^2 + 91140000*ln2^3*z5 + 
    225183000*ln2*z2*z5 - 155045625*z3*z5 - 407111250*ln2*z7)/9408000, 
 H[-1, 1, 0, 1, 0, 0, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    28224000*ln2^2*s6 + 20160000*ln2*s7a + 20160000*ln2*s7b + 13480425*s8a - 
    30744000*s8b + 16128000*s8c - 16128000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 49896000*s6*z2 - 34624800*li4half*z2^2 + 
    2085300*ln2^4*z2^2 + 13784400*ln2^2*z2^3 + 7192203*z2^4 - 
    52416000*li5half*z3 + 56448000*li4half*ln2*z3 + 2788800*ln2^5*z3 - 
    18480000*ln2^3*z2*z3 - 53625600*ln2*z2^2*z3 + 22270500*ln2^2*z3^2 - 
    22790250*z2*z3^2 - 106391250*ln2*z2*z5 + 97311375*z3*z5 + 
    129504375*ln2*z7)/7056000, H[-1, 1, 0, 1, 0, 0, -1, -1, 1] -> 
  (58800000*ln2^2*s6 - 67200000*ln2*s7a + 26880000*ln2*s7b - 98196525*s8a - 
    704256000*s8b - 30240000*s8c - 134400000*s8d - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 362880000*s6*z2 - 
    24998400*li4half*z2^2 + 2486400*ln2^4*z2^2 - 19695200*ln2^2*z2^3 + 
    25425536*z2^4 + 278208000*li5half*z3 + 21168000*li4half*ln2*z3 - 
    1436400*ln2^5*z3 + 5544000*ln2^3*z2*z3 + 106692600*ln2*z2^2*z3 - 
    59755500*ln2^2*z3^2 + 51639000*z2*z3^2 - 83545000*ln2^3*z5 - 
    13965000*ln2*z2*z5 - 321192375*z3*z5 + 177486750*ln2*z7)/9408000, 
 H[-1, 1, 0, 1, 0, -1, 1, 1, 1] -> 
  (-254016000*li4half^2 + 1354752000*li8half + 677376000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 112896000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 855400*ln2^8 + 687456000*ln2^2*s6 - 
    233856000*ln2*s7a - 50400000*ln2*s7b - 778579200*s8a - 3092544000*s8b - 
    596736000*s8c - 419328000*s8d - 451584000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 + 548800*ln2^6*z2 + 
    1191456000*s6*z2 + 108057600*li4half*z2^2 - 6552000*ln2^4*z2^2 - 
    337310400*ln2^2*z2^3 - 19270392*z2^4 + 1431360000*li5half*z3 - 
    84672000*li4half*ln2*z3 - 13809600*ln2^5*z3 + 113400000*ln2^3*z2*z3 + 
    906066000*ln2*z2^2*z3 - 158130000*ln2^2*z3^2 + 586026000*z2*z3^2 - 
    191394000*ln2^3*z5 + 1973538000*ln2*z2*z5 - 2291136750*z3*z5 - 
    1115989875*ln2*z7)/56448000, H[-1, 1, 0, 1, 0, -1, 1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    23040000*ln2^2*s6 + 2880000*ln2*s7a - 13248000*ln2*s7b + 46500300*s8a + 
    179424000*s8b + 40320000*s8c + 8064000*s8d + 16128000*li6half*z2 + 
    8064000*li5half*ln2*z2 - 44800*ln2^6*z2 - 32256000*s6*z2 - 
    2872800*li4half*z2^2 - 287700*ln2^4*z2^2 + 8201400*ln2^2*z2^3 + 
    2456868*z2^4 - 32256000*li5half*z3 + 2016000*li4half*ln2*z3 + 
    352800*ln2^5*z3 - 2604000*ln2^3*z2*z3 - 30513600*ln2*z2^2*z3 - 
    1566000*ln2^2*z3^2 - 40855500*z2*z3^2 + 15624000*ln2^3*z5 - 
    78925500*ln2*z2*z5 + 64606500*z3*z5 - 81653625*ln2*z7)/2016000, 
 H[-1, 1, 0, 1, 0, -1, 1, -1, 1] -> 
  (-64512000*li4half^2 - 516096000*li8half - 96768000*li7half*ln2 - 
    64512000*li6half*ln2^2 - 21504000*li5half*ln2^3 - 5376000*li4half*ln2^4 - 
    16000*ln2^8 - 53568000*ln2^2*s6 - 63360000*ln2*s7a - 121824000*ln2*s7b + 
    105184800*s8a + 161280000*s8c - 96768000*s8d + 64512000*li6half*z2 + 
    64512000*li5half*ln2*z2 + 36288000*li4half*ln2^2*z2 + 571200*ln2^6*z2 + 
    197568000*s6*z2 + 36691200*li4half*z2^2 + 8887200*ln2^4*z2^2 + 
    26594400*ln2^2*z2^3 + 68170848*z2^4 + 161280000*li5half*z3 - 
    126000000*li4half*ln2*z3 - 6829200*ln2^5*z3 + 30660000*ln2^3*z2*z3 + 
    59695200*ln2*z2^2*z3 - 83484000*ln2^2*z3^2 - 137844000*z2*z3^2 + 
    67053000*ln2^3*z5 - 155403000*ln2*z2*z5 + 71820000*z3*z5 - 
    790219125*ln2*z7)/8064000, H[-1, 1, 0, 1, 0, -1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    33264000*ln2^2*s6 + 56448000*ln2*s7a + 56448000*ln2*s7b - 39386025*s8a + 
    12096000*s8b - 46368000*s8c + 46368000*s8d + 225792000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 
    36288000*s6*z2 - 18597600*li4half*z2^2 - 1362900*ln2^4*z2^2 + 
    7018200*ln2^2*z2^3 - 39100104*z2^4 - 163296000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 1948800*ln2^5*z3 - 8904000*ln2^3*z2*z3 - 
    62748000*ln2*z2^2*z3 + 40036500*ln2^2*z3^2 + 52195500*z2*z3^2 - 
    27594000*ln2*z2*z5 - 1960875*z3*z5 + 366030000*ln2*z7)/14112000, 
 H[-1, 1, 0, 1, 0, -1, 0, 0, 1] -> (12096000*ln2*s7a + 12096000*ln2*s7b - 
    14713650*s8a - 7392000*s8b - 24192000*s8c + 24192000*s8d - 
    48384000*s6*z2 - 9038400*li4half*z2^2 - 376600*ln2^4*z2^2 + 
    3603600*ln2^2*z2^3 - 10414074*z2^4 - 20160000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 756000*ln2^5*z3 - 5208000*ln2^3*z2*z3 - 
    10642800*ln2*z2^2*z3 + 18081000*ln2^2*z3^2 + 11970000*z2*z3^2 + 
    32340000*ln2*z2*z5 + 49901250*z3*z5 + 108572625*ln2*z7)/4704000, 
 H[-1, 1, 0, 1, 0, -1, 0, -1, 1] -> 
  (10080000*li4half^2 + 840000*li4half*ln2^4 + 17500*ln2^8 - 
    4032000*ln2^2*s6 + 10080000*ln2*s7a + 10080000*ln2*s7b - 6104700*s8a - 
    4032000*s8b - 12096000*s8c + 12096000*s8d + 4032000*li6half*z2 + 
    2016000*li5half*ln2*z2 - 3024000*li4half*ln2^2*z2 - 137200*ln2^6*z2 - 
    23184000*s6*z2 - 6010200*li4half*z2^2 - 40425*ln2^4*z2^2 + 
    2955150*ln2^2*z2^3 - 5663547*z2^4 - 25200000*li5half*z3 + 
    15372000*li4half*ln2*z3 + 850500*ln2^5*z3 - 4473000*ln2^3*z2*z3 - 
    12080250*ln2*z2^2*z3 + 13749750*ln2^2*z3^2 + 8040375*z2*z3^2 + 
    6662250*ln2*z2*z5 + 26940375*z3*z5 + 79317000*ln2*z7)/504000, 
 H[-1, 1, 0, 1, 0, -1, -1, 1, 1] -> (-16128000*li4half^2 - 32256000*li8half - 
    225792000*li7half*ln2 - 64512000*li6half*ln2^2 - 5376000*li5half*ln2^3 - 
    2688000*li4half*ln2^4 - 84800*ln2^8 + 58608000*ln2^2*s6 - 
    41472000*ln2*s7a + 59328000*ln2*s7b - 80984925*s8a - 329112000*s8b - 
    46368000*s8c - 46368000*s8d + 64512000*li6half*z2 + 
    2016000*li4half*ln2^2*z2 + 487200*ln2^6*z2 + 145152000*s6*z2 + 
    1209600*li4half*z2^2 - 4972800*ln2^4*z2^2 - 38817600*ln2^2*z2^3 + 
    7522152*z2^4 + 96768000*li5half*z3 - 12096000*li4half*ln2*z3 - 
    1545600*ln2^5*z3 + 15708000*ln2^3*z2*z3 + 49836600*ln2*z2^2*z3 - 
    60754500*ln2^2*z3^2 + 68323500*z2*z3^2 - 98952000*ln2^3*z5 - 
    38322000*ln2*z2*z5 - 243203625*z3*z5 + 497828250*ln2*z7)/8064000, 
 H[-1, 1, 0, 1, 0, -1, -1, 0, 1] -> (-14112000*ln2^2*s6 + 18144000*ln2*s7a + 
    18144000*ln2*s7b + 13661550*s8a - 39312000*s8b - 8064000*s8c + 
    8064000*s8d - 112896000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 274400*ln2^6*z2 - 44352000*s6*z2 - 
    2268000*li4half*z2^2 + 1081500*ln2^4*z2^2 + 7883400*ln2^2*z2^3 - 
    1625052*z2^4 + 47376000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    1957200*ln2^5*z3 - 14280000*ln2^3*z2*z3 - 10231200*ln2*z2^2*z3 + 
    29547000*ln2^2*z3^2 - 15781500*z2*z3^2 - 13230000*ln2*z2*z5 + 
    97232625*z3*z5 + 174958875*ln2*z7)/14112000, 
 H[-1, 1, 0, 1, 0, -1, -1, -1, 1] -> 
  (508032000*li4half^2 + 2483712000*li8half + 1580544000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    51744000*li4half*ln2^4 + 1022000*ln2^8 - 515088000*ln2^2*s6 + 
    628992000*ln2*s7a + 149184000*ln2*s7b + 406748475*s8a + 3883320000*s8b - 
    2016000*s8c + 792288000*s8d - 112896000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 268128000*li4half*ln2^2*z2 - 
    11015200*ln2^6*z2 - 2007936000*s6*z2 - 255024000*li4half*z2^2 + 
    17598000*ln2^4*z2^2 + 215930400*ln2^2*z2^3 - 336041304*z2^4 - 
    1528128000*li5half*z3 + 896112000*li4half*ln2*z3 + 51718800*ln2^5*z3 - 
    330792000*ln2^3*z2*z3 - 970817400*ln2*z2^2*z3 + 800194500*ln2^2*z3^2 - 
    172242000*z2*z3^2 + 455700000*ln2^3*z5 - 362502000*ln2*z2*z5 + 
    1387645875*z3*z5 + 897860250*ln2*z7)/56448000, 
 H[-1, 1, 0, 1, -1, 1, 1, 1, 1] -> (28224000*li4half^2 + 4515840000*li8half + 
    112896000*li7half*ln2 + 56448000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 - 233800*ln2^8 - 373464000*ln2^2*s6 - 
    44352000*ln2*s7a + 139104000*ln2*s7b + 1271343150*s8a + 8578080000*s8b + 
    842688000*s8c + 780192000*s8d - 56448000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 2234400*ln2^6*z2 - 
    2375352000*s6*z2 + 209664000*li4half*z2^2 - 36010800*ln2^4*z2^2 - 
    27140400*ln2^2*z2^3 - 294100416*z2^4 - 1461600000*li5half*z3 - 
    28224000*li4half*ln2*z3 + 11004000*ln2^5*z3 - 114744000*ln2^3*z2*z3 - 
    1023372000*ln2*z2^2*z3 - 209223000*ln2^2*z3^2 - 910287000*z2*z3^2 - 
    205065000*ln2^3*z5 - 2860389000*ln2*z2*z5 + 619022250*z3*z5 + 
    581875875*ln2*z7)/28224000, H[-1, 1, 0, 1, -1, 1, 1, 0, 1] -> 
  (-141120000*li4half^2 - 27095040000*li8half - 5419008000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 11760000*li4half*ln2^4 - 312200*ln2^8 + 
    4278960000*ln2^2*s6 - 1080576000*ln2*s7a + 1050336000*ln2*s7b - 
    9688984200*s8a - 60634224000*s8b - 6580224000*s8c - 5527872000*s8d - 
    56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 4351200*ln2^6*z2 + 
    17180352000*s6*z2 - 1149321600*li4half*z2^2 + 41252400*ln2^4*z2^2 - 
    696326400*ln2^2*z2^3 + 1805536368*z2^4 + 11168640000*li5half*z3 + 
    56448000*li4half*ln2*z3 - 90720000*ln2^5*z3 + 911316000*ln2^3*z2*z3 + 
    7410816000*ln2*z2^2*z3 - 315126000*ln2^2*z3^2 + 7149429000*z2*z3^2 - 
    2064321000*ln2^3*z5 + 16437456000*ln2*z2*z5 - 8260182000*z3*z5 + 
    10355412375*ln2*z7)/56448000, H[-1, 1, 0, 1, -1, 1, 1, -1, 1] -> 
  (-16128000*li4half^2 - 282240000*li8half - 8064000*li6half*ln2^2 - 
    1344000*li5half*ln2^3 - 672000*li4half*ln2^4 - 7000*ln2^8 + 
    21072000*ln2^2*s6 - 12672000*ln2*s7a - 24096000*ln2*s7b - 73010700*s8a - 
    584640000*s8b - 28224000*s8c - 78624000*s8d + 8064000*li6half*z2 + 
    4032000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 - 106400*ln2^6*z2 + 
    216384000*s6*z2 - 4435200*li4half*z2^2 + 4074000*ln2^4*z2^2 - 
    1766400*ln2^2*z2^3 + 24959328*z2^4 + 155232000*li5half*z3 - 
    12096000*li4half*ln2*z3 - 1797600*ln2^5*z3 + 10668000*ln2^3*z2*z3 + 
    86080800*ln2*z2^2*z3 - 7965000*ln2^2*z3^2 + 40887000*z2*z3^2 + 
    16926000*ln2^3*z5 + 138234000*ln2*z2*z5 - 90279000*z3*z5 - 
    90949875*ln2*z7)/2688000, H[-1, 1, 0, 1, -1, 1, 0, 1, 1] -> 
  (201600*li4half^2 + 193536000*li8half + 77414400*li7half*ln2 + 
    9676800*li6half*ln2^2 + 16800*li4half*ln2^4 + 3230*ln2^8 - 
    43977600*ln2^2*s6 + 19584000*ln2*s7a - 25574400*ln2*s7b + 85694175*s8a + 
    510249600*s8b + 61286400*s8c + 45763200*s8d + 9676800*li6half*z2 + 
    3225600*li5half*ln2*z2 + 100800*li4half*ln2^2*z2 - 22680*ln2^6*z2 - 
    140817600*s6*z2 + 8961120*li4half*z2^2 + 478380*ln2^4*z2^2 + 
    9143880*ln2^2*z2^3 - 13329762*z2^4 - 93542400*li5half*z3 + 
    100800*li4half*ln2*z3 + 783720*ln2^5*z3 - 7744800*ln2^3*z2*z3 - 
    61103160*ln2*z2^2*z3 + 13492800*ln2^2*z3^2 - 67586400*z2*z3^2 + 
    43747200*ln2^3*z5 - 110397600*ln2*z2*z5 + 88201575*z3*z5 - 
    196677000*ln2*z7)/403200, H[-1, 1, 0, 1, -1, 1, 0, 0, 1] -> 
  (91728000*ln2^2*s6 - 26880000*ln2*s7a + 57792000*ln2*s7b - 182246400*s8a - 
    850416000*s8b - 153216000*s8c - 72576000*s8d + 112896000*li6half*z2 + 
    18816000*li5half*ln2*z2 + 319200000*s6*z2 - 7812000*li4half*z2^2 + 
    4182500*ln2^4*z2^2 - 51952600*ln2^2*z2^3 - 19351944*z2^4 + 
    135744000*li5half*z3 - 10584000*li4half*ln2*z3 - 1572200*ln2^5*z3 + 
    16604000*ln2^3*z2*z3 + 122098200*ln2*z2^2*z3 - 10878000*ln2^2*z3^2 + 
    134610000*z2*z3^2 - 82026000*ln2^3*z5 + 276066000*ln2*z2*z5 - 
    299460000*z3*z5 + 278893125*ln2*z7)/4704000, 
 H[-1, 1, 0, 1, -1, 1, 0, -1, 1] -> 
  (-7056000*li4half^2 - 1128960000*li8half - 338688000*li7half*ln2 - 
    42336000*li6half*ln2^2 - 4704000*li5half*ln2^3 - 588000*li4half*ln2^4 + 
    7350*ln2^8 + 242046000*ln2^2*s6 - 71568000*ln2*s7a + 111888000*ln2*s7b - 
    507099600*s8a - 2940840000*s8b - 378000000*s8c - 242928000*s8d + 
    84672000*li6half*z2 + 21168000*li5half*ln2*z2 + 
    5733000*li4half*ln2^2*z2 + 42875*ln2^6*z2 + 837774000*s6*z2 - 
    43205400*li4half*z2^2 + 206325*ln2^4*z2^2 - 61352025*ln2^2*z2^3 + 
    51390429*z2^4 + 475272000*li5half*z3 - 15435000*li4half*ln2*z3 - 
    4603725*ln2^5*z3 + 47764500*ln2^3*z2*z3 + 356524875*ln2*z2^2*z3 - 
    30791250*ln2^2*z3^2 + 383276250*z2*z3^2 - 175444500*ln2^3*z5 + 
    786035250*ln2*z2*z5 - 461593125*z3*z5 + 853681500*ln2*z7)/1764000, 
 H[-1, 1, 0, 1, -1, 1, -1, 1, 1] -> 
  (-4727520000*li8half - 451584000*li7half*ln2 + 1764000*li4half*ln2^4 + 
    45850*ln2^8 + 635544000*ln2^2*s6 - 56448000*ln2*s7a + 56448000*ln2*s7b - 
    1666802025*s8a - 10386936000*s8b - 1158192000*s8c - 919800000*s8d - 
    10584000*li4half*ln2^2*z2 - 3008600*ln2^6*z2 + 2878596000*s6*z2 - 
    182901600*li4half*z2^2 + 33656700*ln2^4*z2^2 - 86184000*ln2^2*z2^3 + 
    298615896*z2^4 + 1839600000*li5half*z3 + 10584000*li4half*ln2*z3 - 
    14889000*ln2^5*z3 + 145362000*ln2^3*z2*z3 + 1299948300*ln2*z2^2*z3 + 
    92310750*ln2^2*z3^2 + 1261464750*z2*z3^2 - 109368000*ln2^3*z5 + 
    3305232000*ln2*z2*z5 - 1379125125*z3*z5 + 699426000*ln2*z7)/14112000, 
 H[-1, 1, 0, 1, -1, 1, -1, 0, 1] -> 
  (2257920000*li8half + 451584000*li7half*ln2 + 28224000*li6half*ln2^2 + 
    5600*ln2^8 - 354816000*ln2^2*s6 + 81648000*ln2*s7a - 94752000*ln2*s7b + 
    811677825*s8a + 5057136000*s8b + 560448000*s8c + 455616000*s8d + 
    2646000*li4half*ln2^2*z2 - 164150*ln2^6*z2 - 1419264000*s6*z2 + 
    92181600*li4half*z2^2 - 5082000*ln2^4*z2^2 + 57874950*ln2^2*z2^3 - 
    146156508*z2^4 - 911232000*li5half*z3 - 10584000*li4half*ln2*z3 + 
    7152600*ln2^5*z3 - 70644000*ln2^3*z2*z3 - 615465900*ln2*z2^2*z3 + 
    18947250*ln2^2*z3^2 - 612171000*z2*z3^2 + 170887500*ln2^3*z5 - 
    1395733500*ln2*z2*z5 + 700552125*z3*z5 - 885039750*ln2*z7)/3528000, 
 H[-1, 1, 0, 1, -1, 1, -1, -1, 1] -> 
  (-84672000*li4half^2 + 7902720000*li8half + 790272000*li7half*ln2 - 
    28224000*li6half*ln2^2 - 14112000*li5half*ln2^3 - 
    10584000*li4half*ln2^4 - 176400*ln2^8 - 919800000*ln2^2*s6 + 
    201600000*ln2*s7a - 38304000*ln2*s7b + 2480508450*s8a + 16760016000*s8b + 
    1499904000*s8c + 1774080000*s8d + 112896000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 105840000*li4half*ln2^2*z2 + 8486800*ln2^6*z2 - 
    5132232000*s6*z2 + 416203200*li4half*z2^2 - 64831200*ln2^4*z2^2 + 
    72021600*ln2^2*z2^3 - 650260008*z2^4 - 3569328000*li5half*z3 - 
    222264000*li4half*ln2*z3 + 20483400*ln2^5*z3 - 181020000*ln2^3*z2*z3 - 
    2072410200*ln2*z2^2*z3 + 13734000*ln2^2*z3^2 - 1779151500*z2*z3^2 + 
    225571500*ln2^3*z5 - 4359190500*ln2*z2*z5 + 2506014000*z3*z5 - 
    951244875*ln2*z7)/28224000, H[-1, 1, 0, 1, -1, 0, 1, 1, 1] -> 
  (-84672000*li4half^2 - 9031680000*li8half - 5419008000*li7half*ln2 - 
    1354752000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 + 77000*ln2^8 + 1318464000*ln2^2*s6 - 
    1181376000*ln2*s7a + 1316448000*ln2*s7b - 2542686300*s8a - 
    17156160000*s8b - 1685376000*s8c - 1560384000*s8d + 
    1354752000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    155232000*li4half*ln2^2*z2 + 3959200*ln2^6*z2 + 5449248000*s6*z2 - 
    369936000*li4half*z2^2 - 39522000*ln2^4*z2^2 - 259963200*ln2^2*z2^3 + 
    426308472*z2^4 + 3233664000*li5half*z3 + 105840000*li4half*ln2*z3 - 
    22537200*ln2^5*z3 + 237720000*ln2^3*z2*z3 + 1674892800*ln2*z2^2*z3 - 
    871479000*ln2^2*z3^2 + 1522899000*z2*z3^2 - 2232930000*ln2^3*z5 + 
    550494000*ln2*z2*z5 - 1408601250*z3*z5 + 11437216875*ln2*z7)/56448000, 
 H[-1, 1, 0, 1, -1, 0, 1, 0, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 + 2284800*ln2^2*s6 + 
    3763200*ln2*s7b - 6827625*s8a - 41563200*s8b - 4569600*s8c - 
    6720000*s8d - 11289600*li6half*z2 - 3763200*li5half*ln2*z2 - 
    3763200*li4half*ln2^2*z2 - 141120*ln2^6*z2 + 12028800*s6*z2 - 
    4648560*li4half*z2^2 + 315910*ln2^4*z2^2 + 32620*ln2^2*z2^3 + 
    2966954*z2^4 + 5913600*li5half*z3 + 4468800*li4half*ln2*z3 + 
    136920*ln2^5*z3 - 1153600*ln2^3*z2*z3 + 2394420*ln2*z2^2*z3 + 
    54600*ln2^2*z3^2 + 8888250*z2*z3^2 - 3645600*ln2^3*z5 + 
    8541750*ln2*z2*z5 - 15540525*z3*z5 + 16651425*ln2*z7)/470400, 
 H[-1, 1, 0, 1, -1, 0, 1, -1, 1] -> 
  (1128960000*li4half^2 + 18063360000*li8half + 5419008000*li7half*ln2 + 
    1354752000*li6half*ln2^2 + 301056000*li5half*ln2^3 + 
    94080000*li4half*ln2^4 + 705600*ln2^8 - 2761920000*ln2^2*s6 + 
    1366848000*ln2*s7a - 679392000*ln2*s7b + 6205802400*s8a + 
    39158784000*s8b + 4257792000*s8c + 3419136000*s8d - 
    1354752000*li6half*z2 + 451584000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 78400*ln2^6*z2 - 11410560000*s6*z2 - 
    134668800*li4half*z2^2 - 109804800*ln2^4*z2^2 + 912189600*ln2^2*z2^3 - 
    759211776*z2^4 - 7289856000*li5half*z3 + 1319472000*li4half*ln2*z3 + 
    115726800*ln2^5*z3 - 895020000*ln2^3*z2*z3 - 5356814400*ln2*z2^2*z3 + 
    820512000*ln2^2*z3^2 - 4357584000*z2*z3^2 + 1581279000*ln2^3*z5 - 
    10807209000*ln2*z2*z5 + 4954824000*z3*z5 - 9126077625*ln2*z7)/56448000, 
 H[-1, 1, 0, 1, -1, 0, 0, 1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 + 
    67872000*ln2^2*s6 - 21504000*ln2*s7a + 25536000*ln2*s7b - 124073775*s8a - 
    484428000*s8b - 120960000*s8c - 6048000*s8d - 225792000*li6half*z2 - 
    75264000*li5half*ln2*z2 + 11760000*li4half*ln2^2*z2 + 803600*ln2^6*z2 - 
    32592000*s6*z2 + 27484800*li4half*z2^2 - 716800*ln2^4*z2^2 - 
    14036400*ln2^2*z2^3 + 5417466*z2^4 + 134400000*li5half*z3 - 
    29400000*li4half*ln2*z3 - 2345000*ln2^5*z3 + 21196000*ln2^3*z2*z3 + 
    118620600*ln2*z2^2*z3 - 6342000*ln2^2*z3^2 + 153930000*z2*z3^2 - 
    45570000*ln2^3*z5 + 360927000*ln2*z2*z5 - 232286250*z3*z5 + 
    117439875*ln2*z7)/4704000, H[-1, 1, 0, 1, -1, 0, 0, 0, 1] -> 
  (-45696000*ln2^2*s6 + 12096000*ln2*s7a - 25536000*ln2*s7b + 91123200*s8a + 
    425208000*s8b + 76608000*s8c + 36288000*s8d - 129024000*s6*z2 + 
    5964000*li4half*z2^2 + 248500*ln2^4*z2^2 + 18503800*ln2^2*z2^3 + 
    2345187*z2^4 - 100800000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    546000*ln2^5*z3 - 6636000*ln2^3*z2*z3 - 70688100*ln2*z2^2*z3 + 
    3465000*ln2^2*z3^2 - 78513750*z2*z3^2 + 36456000*ln2^3*z5 - 
    158744250*ln2*z2*z5 + 185616375*z3*z5 - 118027875*ln2*z7)/2352000, 
 H[-1, 1, 0, 1, -1, 0, 0, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    203616000*ln2^2*s6 + 8064000*ln2*s7a - 133056000*ln2*s7b + 
    411084450*s8a + 2037168000*s8b + 306432000*s8c + 258048000*s8d - 
    338688000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 2234400*ln2^6*z2 - 939456000*s6*z2 + 
    132400800*li4half*z2^2 - 363300*ln2^4*z2^2 + 92723400*ln2^2*z2^3 - 
    12178188*z2^4 - 290304000*li5half*z3 - 109368000*li4half*ln2*z3 - 
    2137800*ln2^5*z3 - 4788000*ln2^3*z2*z3 - 196396200*ln2*z2^2*z3 - 
    11844000*ln2^2*z3^2 - 286272000*z2*z3^2 + 159495000*ln2^3*z5 - 
    480595500*ln2*z2*z5 + 754078500*z3*z5 - 424092375*ln2*z7)/14112000, 
 H[-1, 1, 0, 1, -1, 0, -1, 1, 1] -> 
  (-23520000*li4half^2 + 282240000*li8half + 301056000*li7half*ln2 + 
    56448000*li6half*ln2^2 - 1176000*li4half*ln2^4 + 17500*ln2^8 - 
    60816000*ln2^2*s6 + 71232000*ln2*s7a - 88704000*ln2*s7b + 83109600*s8a + 
    611100000*s8b + 40320000*s8c + 79632000*s8d - 56448000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 8232000*li4half*ln2^2*z2 - 264600*ln2^6*z2 - 
    249816000*s6*z2 + 28039200*li4half*z2^2 + 5607700*ln2^4*z2^2 + 
    7988400*ln2^2*z2^3 - 24459894*z2^4 - 98112000*li5half*z3 - 
    7056000*li4half*ln2*z3 + 523600*ln2^5*z3 - 4648000*ln2^3*z2*z3 - 
    30920400*ln2*z2^2*z3 + 71316000*ln2^2*z3^2 - 43764000*z2*z3^2 + 
    154938000*ln2^3*z5 + 198628500*ln2*z2*z5 + 62514375*z3*z5 - 
    711306750*ln2*z7)/2352000, H[-1, 1, 0, 1, -1, 0, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    37632000*ln2^2*s6 + 2688000*ln2*s7a - 16128000*ln2*s7b + 66500175*s8a + 
    210168000*s8b + 79296000*s8c - 22848000*s8d + 56448000*li6half*z2 + 
    18816000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 666400*ln2^6*z2 + 
    43344000*s6*z2 - 20857200*li4half*z2^2 + 1286950*ln2^4*z2^2 + 
    10542700*ln2^2*z2^3 + 15431018*z2^4 - 48384000*li5half*z3 + 
    11760000*li4half*ln2*z3 + 893200*ln2^5*z3 - 10500000*ln2^3*z2*z3 - 
    60196500*ln2*z2^2*z3 - 8673000*ln2^2*z3^2 - 75531750*z2*z3^2 + 
    18228000*ln2^3*z5 - 208556250*ln2*z2*z5 + 90087375*z3*z5 - 
    85173375*ln2*z7)/2352000, H[-1, 1, 0, 1, -1, 0, -1, -1, 1] -> 
  (-14112000*li4half^2 - 3951360000*li8half - 1806336000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    5880000*li4half*ln2^4 - 116900*ln2^8 + 630000000*ln2^2*s6 - 
    445536000*ln2*s7a + 401184000*ln2*s7b - 1240254225*s8a - 8380008000*s8b - 
    749952000*s8c - 887040000*s8d + 169344000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 17640000*li4half*ln2^2*z2 + 343000*ln2^6*z2 + 
    2680776000*s6*z2 - 163648800*li4half*z2^2 - 4466700*ln2^4*z2^2 - 
    114508800*ln2^2*z2^3 + 289144404*z2^4 + 1745856000*li5half*z3 - 
    17640000*li4half*ln2*z3 - 15283800*ln2^5*z3 + 120792000*ln2^3*z2*z3 + 
    959578200*ln2*z2^2*z3 - 370314000*ln2^2*z3^2 + 846909000*z2*z3^2 - 
    773550750*ln2^3*z5 + 904790250*ln2*z2*z5 - 1215081000*z3*z5 + 
    3631430250*ln2*z7)/14112000, H[-1, 1, 0, 1, -1, -1, 1, 1, 1] -> 
  (5249664000*li8half + 620928000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    7056000*li4half*ln2^4 + 379400*ln2^8 - 700560000*ln2^2*s6 - 
    22176000*ln2*s7a - 262080000*ln2*s7b + 1920512475*s8a + 11550168000*s8b + 
    1417248000*s8c + 883008000*s8d - 56448000*li6half*z2 - 548800*ln2^6*z2 - 
    2902032000*s6*z2 + 185068800*li4half*z2^2 - 23335200*ln2^4*z2^2 + 
    64663200*ln2^2*z2^3 - 277367904*z2^4 - 1766016000*li5half*z3 - 
    21168000*li4half*ln2*z3 + 15069600*ln2^5*z3 - 148932000*ln2^3*z2*z3 - 
    1348716600*ln2*z2^2*z3 - 112140000*ln2^2*z3^2 - 1597869000*z2*z3^2 + 
    300762000*ln2^3*z5 - 3679452000*ln2*z2*z5 + 1613831625*z3*z5 - 
    2003337000*ln2*z7)/56448000, H[-1, 1, 0, 1, -1, -1, 1, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    15624000*ln2^2*s6 - 18648000*ln2*s7a - 8064000*ln2*s7b + 64664775*s8a + 
    154224000*s8b + 68544000*s8c - 26208000*s8d - 21168000*li6half*z2 - 
    14112000*li5half*ln2*z2 - 8820000*li4half*ln2^2*z2 - 279300*ln2^6*z2 + 
    10080000*s6*z2 - 17060400*li4half*z2^2 - 1445850*ln2^4*z2^2 + 
    12499200*ln2^2*z2^3 + 21951324*z2^4 + 80640000*li5half*z3 + 
    30870000*li4half*ln2*z3 + 614250*ln2^5*z3 - 8053500*ln2^3*z2*z3 - 
    12716550*ln2*z2^2*z3 - 34713000*ln2^2*z3^2 - 43635375*z2*z3^2 - 
    10253250*ln2^3*z5 - 134316000*ln2*z2*z5 - 59936625*z3*z5 - 
    112880250*ln2*z7)/7056000, H[-1, 1, 0, 1, -1, -1, 1, -1, 1] -> 
  (56448000*li4half^2 - 2032128000*li8half - 282240000*li7half*ln2 + 
    9408000*li5half*ln2^3 + 2352000*li4half*ln2^4 - 72800*ln2^8 + 
    274512000*ln2^2*s6 - 118944000*ln2*s7a + 22176000*ln2*s7b - 
    584838450*s8a - 4309200000*s8b - 278208000*s8c - 596736000*s8d - 
    28224000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 2273600*ln2^6*z2 + 
    1614480000*s6*z2 - 160272000*li4half*z2^2 + 13725600*ln2^4*z2^2 - 
    21369600*ln2^2*z2^3 + 249596208*z2^4 + 1207584000*li5half*z3 + 
    141120000*li4half*ln2*z3 - 4594800*ln2^5*z3 + 32424000*ln2^3*z2*z3 + 
    550998000*ln2*z2^2*z3 - 106470000*ln2^2*z3^2 + 393876000*z2*z3^2 - 
    177723000*ln2^3*z5 + 888111000*ln2*z2*z5 - 1047012750*z3*z5 - 
    153649125*ln2*z7)/18816000, H[-1, 1, 0, 1, -1, -1, 0, 1, 1] -> 
  (-4515840000*li8half - 1806336000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    67200*ln2^8 + 1032528000*ln2^2*s6 - 369600000*ln2*s7a + 
    655872000*ln2*s7b - 2119156725*s8a - 12021912000*s8b - 1589280000*s8c - 
    950880000*s8d - 338688000*li6half*z2 - 75264000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 + 2974272000*s6*z2 - 
    185942400*li4half*z2^2 - 15783600*ln2^4*z2^2 - 211321600*ln2^2*z2^3 + 
    273768424*z2^4 + 1948800000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    17710000*ln2^5*z3 + 188272000*ln2^3*z2*z3 + 1412934600*ln2*z2^2*z3 - 
    232186500*ln2^2*z3^2 + 1776505500*z2*z3^2 - 993426000*ln2^3*z5 + 
    2970870000*ln2*z2*z5 - 2058233625*z3*z5 + 5004510000*ln2*z7)/18816000, 
 H[-1, 1, 0, 1, -1, -1, 0, 0, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 - 
    18849600*ln2^2*s6 + 12902400*ln2*s7a - 6854400*ln2*s7b + 31274775*s8a + 
    190108800*s8b + 16128000*s8c + 34675200*s8d - 33868800*li6half*z2 - 
    5644800*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 
    109569600*s6*z2 + 7922880*li4half*z2^2 - 2080680*ln2^4*z2^2 + 
    13050240*ln2^2*z2^3 - 4605534*z2^4 - 66528000*li5half*z3 - 
    2822400*li4half*ln2*z3 + 436800*ln2^5*z3 - 2721600*ln2^3*z2*z3 - 
    34710480*ln2*z2^2*z3 + 13926150*ln2^2*z3^2 - 20166300*z2*z3^2 + 
    19139400*ln2^3*z5 - 26397000*ln2*z2*z5 + 115987725*z3*z5 - 
    7731675*ln2*z7)/2822400, H[-1, 1, 0, 1, -1, -1, 0, -1, 1] -> 
  (42336000*li4half^2 + 4515840000*li8half + 1354752000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 - 4900*ln2^8 - 936432000*ln2^2*s6 + 
    436464000*ln2*s7a - 276192000*ln2*s7b + 1805931225*s8a + 
    11549664000*s8b + 1112832000*s8c + 1328544000*s8d - 
    381024000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 1607200*ln2^6*z2 - 4057704000*s6*z2 + 
    226548000*li4half*z2^2 - 9611700*ln2^4*z2^2 + 254667000*ln2^2*z2^3 - 
    387648804*z2^4 - 2614752000*li5half*z3 + 26460000*li4half*ln2*z3 + 
    22892100*ln2^5*z3 - 190995000*ln2^3*z2*z3 - 1527794100*ln2*z2^2*z3 + 
    355461750*ln2^2*z3^2 - 1241005500*z2*z3^2 + 684689250*ln2^3*z5 - 
    2427185250*ln2*z2*z5 + 2532537000*z3*z5 - 2021307750*ln2*z7)/14112000, 
 H[-1, 1, 0, 1, -1, -1, -1, 1, 1] -> 
  (-14112000*li4half^2 + 2032128000*li8half + 592704000*li7half*ln2 + 
    84672000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 3528000*li4half*ln2^4 + 
    6300*ln2^8 - 60480000*ln2^2*s6 + 144144000*ln2*s7a - 46368000*ln2*s7b + 
    128382975*s8a + 2114280000*s8b + 2016000*s8c + 252000000*s8d - 
    84672000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 1920800*ln2^6*z2 - 
    715680000*s6*z2 + 58161600*li4half*z2^2 - 10806600*ln2^4*z2^2 - 
    65520000*ln2^2*z2^3 - 136863324*z2^4 - 496944000*li5half*z3 - 
    52920000*li4half*ln2*z3 + 1318800*ln2^5*z3 + 15036000*ln2^3*z2*z3 - 
    152422200*ln2*z2^2*z3 + 94893750*ln2^2*z3^2 + 20207250*z2*z3^2 + 
    180001500*ln2^3*z5 + 136111500*ln2*z2*z5 - 377314875*z3*z5 - 
    708238125*ln2*z7)/28224000, H[-1, 1, 0, 1, -1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 - 9031680000*li8half - 1806336000*li7half*ln2 - 
    112896000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 75600*ln2^8 + 
    940464000*ln2^2*s6 - 225792000*ln2*s7a + 70560000*ln2*s7b - 
    2332387575*s8a - 16763544000*s8b - 1401120000*s8c - 1731744000*s8d + 
    169344000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 2665600*ln2^6*z2 + 5156928000*s6*z2 - 
    381628800*li4half*z2^2 + 41252400*ln2^4*z2^2 - 105688800*ln2^2*z2^3 + 
    651535128*z2^4 + 3251808000*li5half*z3 + 98784000*li4half*ln2*z3 - 
    22982400*ln2^5*z3 + 191604000*ln2^3*z2*z3 + 1911432600*ln2*z2^2*z3 - 
    53235000*ln2^2*z3^2 + 1529545500*z2*z3^2 - 287091000*ln2^3*z5 + 
    3821895000*ln2*z2*z5 - 1390669875*z3*z5 + 2100427875*ln2*z7)/56448000, 
 H[-1, 1, 0, 1, -1, -1, -1, -1, 1] -> 
  (28224000*li4half^2 - 3217536000*li8half - 959616000*li7half*ln2 - 
    112896000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    120400*ln2^8 + 109872000*ln2^2*s6 - 90720000*ln2*s7a + 
    233856000*ln2*s7b - 523153575*s8a - 3889368000*s8b - 405216000*s8c - 
    88704000*s8d - 56448000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 1293600*ln2^6*z2 + 438480000*s6*z2 - 
    43142400*li4half*z2^2 + 7904400*ln2^4*z2^2 + 120556800*ln2^2*z2^3 + 
    66175488*z2^4 + 163296000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    756000*ln2^5*z3 - 4032000*ln2^3*z2*z3 + 198991800*ln2*z2^2*z3 + 
    52510500*ln2^2*z3^2 + 379323000*z2*z3^2 - 259749000*ln2^3*z5 + 
    381843000*ln2*z2*z5 + 1013945625*z3*z5 + 3003966000*ln2*z7)/56448000, 
 H[-1, 1, 0, 0, 1, 1, 1, 1, 1] -> 
  (225792000*li8half + 169344000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 28000*ln2^8 + 34776000*ln2^2*s6 - 
    27216000*ln2*s7a - 20160000*ln2*s7b - 14959350*s8a - 25200000*s8b - 
    8064000*s8c - 13104000*s8d - 56448000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 313600*ln2^6*z2 + 33264000*s6*z2 - 
    2620800*li4half*z2^2 - 1285200*ln2^4*z2^2 - 9324000*ln2^2*z2^3 + 
    445464*z2^4 + 75600000*li5half*z3 - 1041600*ln2^5*z3 + 
    10416000*ln2^3*z2*z3 + 49996800*ln2*z2^2*z3 - 14805000*ln2^2*z3^2 - 
    7623000*z2*z3^2 - 13671000*ln2^3*z5 + 103698000*ln2*z2*z5 - 
    131977125*z3*z5 - 294658875*ln2*z7)/28224000, 
 H[-1, 1, 0, 0, 1, 1, 1, 0, 1] -> (9072000*ln2*s7a + 9072000*ln2*s7b + 
    23588775*s8a + 27972000*s8b - 18144000*s8c + 18144000*s8d + 
    28224000*li6half*z2 + 14112000*li5half*ln2*z2 - 78400*ln2^6*z2 - 
    34524000*s6*z2 + 3628800*li4half*z2^2 + 739200*ln2^4*z2^2 + 
    4830000*ln2^2*z2^3 - 29791476*z2^4 - 64512000*li5half*z3 + 
    537600*ln2^5*z3 - 7434000*ln2^3*z2*z3 - 22138200*ln2*z2^2*z3 + 
    15655500*ln2^2*z3^2 - 5796000*z2*z3^2 + 31641750*ln2*z2*z5 + 
    164516625*z3*z5 + 39879000*ln2*z7)/14112000, 
 H[-1, 1, 0, 0, 1, 1, 1, -1, 1] -> (56448000*li4half^2 - 225792000*li8half - 
    169344000*li7half*ln2 - 56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 204400*ln2^8 - 2520000*ln2^2*s6 + 
    45360000*ln2*s7a + 80640000*ln2*s7b - 66280725*s8a - 342720000*s8b - 
    135072000*s8c + 57456000*s8d + 56448000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 2214800*ln2^6*z2 - 
    51408000*s6*z2 - 35078400*li4half*z2^2 + 4242000*ln2^4*z2^2 + 
    18849600*ln2^2*z2^3 - 41743116*z2^4 - 143136000*li5half*z3 + 
    91728000*li4half*ln2*z3 + 5426400*ln2^5*z3 - 24864000*ln2^3*z2*z3 - 
    66036600*ln2*z2^2*z3 + 93334500*ln2^2*z3^2 + 63598500*z2*z3^2 - 
    31899000*ln2^3*z5 + 160398000*ln2*z2*z5 + 296785125*z3*z5 + 
    579922875*ln2*z7)/28224000, H[-1, 1, 0, 0, 1, 1, 0, 1, 1] -> 
  (-3669120*ln2^2*s6 + 2661120*ln2*s7a + 403200*ln2*s7b - 298620*s8a + 
    16390080*s8b + 3144960*s8c + 241920*s8d + 4515840*li6half*z2 + 
    2257920*li5half*ln2*z2 - 12544*ln2^6*z2 - 1330560*s6*z2 + 
    48384*li4half*z2^2 + 96096*ln2^4*z2^2 + 372288*ln2^2*z2^3 + 
    2533416*z2^4 - 1895040*li5half*z3 + 15792*ln2^5*z3 - 487200*ln2^3*z2*z3 - 
    2847096*ln2*z2^2*z3 + 617400*ln2^2*z3^2 + 834120*z2*z3^2 + 
    2187360*ln2^3*z5 - 12753720*ln2*z2*z5 - 16523955*z3*z5 + 2721285*ln2*z7)/
   1128960, H[-1, 1, 0, 0, 1, 1, 0, 0, 1] -> 
  (224000*ln2^2*s6 - 224000*ln2*s7a - 224000*ln2*s7b + 77350*s8a - 
    560000*s8b + 112000*s6*z2 - 39200*ln2^2*z2^3 - 75974*z2^4 + 
    336000*li5half*z3 - 2800*ln2^5*z3 + 28000*ln2^3*z2*z3 + 
    410200*ln2*z2^2*z3 - 140000*ln2^2*z3^2 - 393750*z2*z3^2 + 
    602000*ln2*z2*z5 + 695625*z3*z5 - 1174250*ln2*z7)/224000, 
 H[-1, 1, 0, 0, 1, 1, 0, -1, 1] -> (28224000*ln2^2*s6 - 66528000*ln2*s7a - 
    10080000*ln2*s7b - 50228325*s8a - 395640000*s8b + 48384000*s8c - 
    161280000*s8d + 56448000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    156800*ln2^6*z2 + 410760000*s6*z2 - 32256000*li4half*z2^2 - 
    168000*ln2^4*z2^2 - 22335600*ln2^2*z2^3 + 73792668*z2^4 + 
    308448000*li5half*z3 - 2570400*ln2^5*z3 + 21588000*ln2^3*z2*z3 + 
    96579000*ln2*z2^2*z3 - 95035500*ln2^2*z3^2 - 2772000*z2*z3^2 - 
    45570000*ln2^3*z5 - 172210500*ln2*z2*z5 - 497896875*z3*z5 - 
    250054875*ln2*z7)/28224000, H[-1, 1, 0, 0, 1, 1, -1, 1, 1] -> 
  (28224000*li4half^2 - 1016064000*li8half - 112896000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 2352000*li4half*ln2^4 - 306600*ln2^8 - 
    431424000*ln2^2*s6 + 284256000*ln2*s7a - 209664000*ln2*s7b + 
    417905775*s8a + 2867256000*s8b + 421344000*s8c + 383040000*s8d + 
    112896000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 5684000*ln2^6*z2 - 
    1231776000*s6*z2 + 46972800*li4half*z2^2 - 8509200*ln2^4*z2^2 + 
    149284800*ln2^2*z2^3 + 129168504*z2^4 - 766080000*li5half*z3 - 
    14112000*li4half*ln2*z3 + 6619200*ln2^5*z3 - 31500000*ln2^3*z2*z3 - 
    475511400*ln2*z2^2*z3 + 211837500*ln2^2*z3^2 - 238612500*z2*z3^2 + 
    478485000*ln2^3*z5 - 632709000*ln2*z2*z5 + 598476375*z3*z5 - 
    849177000*ln2*z7)/56448000, H[-1, 1, 0, 0, 1, 1, -1, 0, 1] -> 
  (65116800*ln2^2*s6 - 23385600*ln2*s7a + 27417600*ln2*s7b - 121226175*s8a - 
    676065600*s8b - 97574400*s8c - 71769600*s8d - 11289600*li6half*z2 - 
    5644800*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 - 86240*ln2^6*z2 + 
    230328000*s6*z2 - 15482880*li4half*z2^2 + 3000480*ln2^4*z2^2 - 
    29047200*ln2^2*z2^3 - 2506356*z2^4 + 154828800*li5half*z3 + 
    11289600*li4half*ln2*z3 - 819840*ln2^5*z3 + 10903200*ln2^3*z2*z3 + 
    103675320*ln2*z2^2*z3 - 7396200*ln2^2*z3^2 + 92232000*z2*z3^2 - 
    49215600*ln2^3*z5 + 217255500*ln2*z2*z5 - 198275175*z3*z5 + 
    135443700*ln2*z7)/5644800, H[-1, 1, 0, 0, 1, 1, -1, -1, 1] -> 
  (-56448000*li4half^2 - 1241856000*li8half + 112896000*li7half*ln2 + 
    112896000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 358400*ln2^8 + 
    667296000*ln2^2*s6 - 114912000*ln2*s7a + 237888000*ln2*s7b - 
    1416981825*s8a - 7470792000*s8b - 1090656000*s8c - 701568000*s8d + 
    225792000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 5096000*ln2^6*z2 + 2454480000*s6*z2 - 
    89510400*li4half*z2^2 + 20496000*ln2^4*z2^2 - 226497600*ln2^2*z2^3 + 
    48584808*z2^4 + 1374912000*li5half*z3 - 42336000*li4half*ln2*z3 - 
    14044800*ln2^5*z3 + 105168000*ln2^3*z2*z3 + 1067056200*ln2*z2^2*z3 - 
    22018500*ln2^2*z3^2 + 1074654000*z2*z3^2 - 318990000*ln2^3*z5 + 
    2493792000*ln2*z2*z5 - 2039932125*z3*z5 + 894269250*ln2*z7)/56448000, 
 H[-1, 1, 0, 0, 1, 0, 1, 1, 1] -> (-20496000*ln2^2*s6 + 22176000*ln2*s7a - 
    17808000*ln2*s7b + 47537700*s8a + 227052000*s8b + 20160000*s8c + 
    36288000*s8d - 112560000*s6*z2 + 7257600*li4half*z2^2 + 
    302400*ln2^4*z2^2 + 8128400*ln2^2*z2^3 - 14213138*z2^4 - 
    81984000*li5half*z3 + 683200*ln2^5*z3 - 6832000*ln2^3*z2*z3 - 
    32999400*ln2*z2^2*z3 + 19078500*ln2^2*z3^2 - 35332500*z2*z3^2 + 
    36456000*ln2^3*z5 - 84000*ln2*z2*z5 + 161471625*z3*z5 - 71255625*ln2*z7)/
   4704000, H[-1, 1, 0, 0, 1, 0, 1, 0, 1] -> 
  (-6720000*ln2*s7a - 6720000*ln2*s7b - 2938950*s8a - 16800000*s8b + 
    13440000*s8c - 13440000*s8d + 38640000*s6*z2 - 2688000*li4half*z2^2 - 
    112000*ln2^4*z2^2 - 3528000*ln2^2*z2^3 + 10076158*z2^4 + 
    45696000*li5half*z3 - 380800*ln2^5*z3 + 3808000*ln2^3*z2*z3 + 
    9025800*ln2*z2^2*z3 - 9114000*ln2^2*z3^2 - 4420500*z2*z3^2 - 
    40351500*ln2*z2*z5 - 64758750*z3*z5 - 15421875*ln2*z7)/4704000, 
 H[-1, 1, 0, 0, 1, 0, 1, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    24624000*ln2^2*s6 - 17568000*ln2*s7a - 432000*ln2*s7b - 29159550*s8a - 
    172368000*s8b - 16128000*s8c - 24192000*s8d - 6048000*li5half*ln2*z2 + 
    6048000*li4half*ln2^2*z2 + 302400*ln2^6*z2 + 69552000*s6*z2 + 
    8467200*li4half*z2^2 - 655200*ln2^4*z2^2 - 12823800*ln2^2*z2^3 - 
    396048*z2^4 + 52416000*li5half*z3 - 26208000*li4half*ln2*z3 - 
    1528800*ln2^5*z3 + 9030000*ln2^3*z2*z3 + 37357200*ln2*z2^2*z3 - 
    19156500*ln2^2*z3^2 + 21640500*z2*z3^2 - 13345500*ln2^3*z5 + 
    54047250*ln2*z2*z5 - 71268750*z3*z5 + 16284375*ln2*z7)/2016000, 
 H[-1, 1, 0, 0, 1, 0, 0, 1, 1] -> (31920000*ln2^2*s6 - 24192000*ln2*s7a + 
    32256000*ln2*s7b - 71524425*s8a - 351120000*s8b - 43680000*s8c - 
    40992000*s8d + 133728000*s6*z2 - 8198400*li4half*z2^2 - 
    341600*ln2^4*z2^2 - 7879200*ln2^2*z2^3 + 6343472*z2^4 + 
    72576000*li5half*z3 - 604800*ln2^5*z3 + 6048000*ln2^3*z2*z3 + 
    41164200*ln2*z2^2*z3 - 19467000*ln2^2*z3^2 + 52752000*z2*z3^2 - 
    54684000*ln2^3*z5 + 42021000*ln2*z2*z5 - 139256250*z3*z5 + 
    156161250*ln2*z7)/4704000, H[-1, 1, 0, 0, 1, 0, 0, 0, 1] -> 
  (241325*s8a + 280000*s8b - 336000*s6*z2 + 128000*ln2^2*z2^3 - 226198*z2^4 - 
    29400*ln2*z2^2*z3 + 110250*z2*z3^2 + 336000*ln2*z2*z5 + 406000*z3*z5 - 
    207375*ln2*z7)/112000, H[-1, 1, 0, 0, 1, 0, 0, -1, 1] -> 
  (-42336000*ln2^2*s6 + 24192000*ln2*s7a - 32256000*ln2*s7b + 90091050*s8a + 
    457968000*s8b + 64512000*s8c + 48384000*s8d - 169680000*s6*z2 + 
    9676800*li4half*z2^2 + 403200*ln2^4*z2^2 + 16590000*ln2^2*z2^3 - 
    3333902*z2^4 - 103824000*li5half*z3 + 865200*ln2^5*z3 - 
    8652000*ln2^3*z2*z3 - 64209600*ln2*z2^2*z3 + 16537500*ln2^2*z3^2 - 
    66097500*z2*z3^2 + 45570000*ln2^3*z5 - 65929500*ln2*z2*z5 + 
    166852875*z3*z5 - 198166500*ln2*z7)/4704000, 
 H[-1, 1, 0, 0, 1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    30240000*ln2^2*s6 - 201600000*ln2*s7a + 80640000*ln2*s7b - 
    118293525*s8a - 1373904000*s8b + 88704000*s8c - 385056000*s8d + 
    84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1881600*ln2^6*z2 + 
    1045296000*s6*z2 - 23385600*li4half*z2^2 + 16665600*ln2^4*z2^2 + 
    17102400*ln2^2*z2^3 + 107180256*z2^4 + 678384000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 6829200*ln2^5*z3 + 15960000*ln2^3*z2*z3 + 
    219315600*ln2*z2^2*z3 - 245511000*ln2^2*z3^2 - 65205000*z2*z3^2 - 
    273420000*ln2^3*z5 - 717538500*ln2*z2*z5 - 604028250*z3*z5 + 
    260032500*ln2*z7)/28224000, H[-1, 1, 0, 0, 1, 0, -1, 0, 1] -> 
  (12096000*ln2*s7a + 12096000*ln2*s7b - 3130050*s8a + 25536000*s8b - 
    24192000*s8c + 24192000*s8d - 60144000*s6*z2 + 4838400*li4half*z2^2 + 
    201600*ln2^4*z2^2 + 1554000*ln2^2*z2^3 - 13632898*z2^4 - 
    34272000*li5half*z3 + 285600*ln2^5*z3 - 2856000*ln2^3*z2*z3 - 
    2910600*ln2*z2^2*z3 + 13230000*ln2^2*z3^2 + 19540500*z2*z3^2 + 
    38587500*ln2*z2*z5 + 30387000*z3*z5 + 76930875*ln2*z7)/4704000, 
 H[-1, 1, 0, 0, 1, 0, -1, -1, 1] -> (-49392000*ln2^2*s6 + 29568000*ln2*s7a - 
    64512000*ln2*s7b + 127559775*s8a + 643104000*s8b + 86688000*s8c + 
    77952000*s8d - 249984000*s6*z2 + 15590400*li4half*z2^2 + 
    649600*ln2^4*z2^2 + 18466000*ln2^2*z2^3 - 10997416*z2^4 - 
    158256000*li5half*z3 + 1318800*ln2^5*z3 - 13188000*ln2^3*z2*z3 - 
    88611600*ln2*z2^2*z3 + 37852500*ln2^2*z3^2 - 96180000*z2*z3^2 + 
    83545000*ln2^3*z5 - 44835000*ln2*z2*z5 + 272223000*z3*z5 - 
    330550500*ln2*z7)/9408000, H[-1, 1, 0, 0, 1, -1, 1, 1, 1] -> 
  (-7056000*li4half^2 - 56448000*li7half*ln2 - 588000*li4half*ln2^4 - 
    1050*ln2^8 + 71904000*ln2^2*s6 - 31248000*ln2*s7a + 48720000*ln2*s7b - 
    111456975*s8a - 603960000*s8b - 93072000*s8c - 62160000*s8d - 
    3528000*li4half*ln2^2*z2 - 382200*ln2^6*z2 + 207816000*s6*z2 - 
    5728800*li4half*z2^2 + 172900*ln2^4*z2^2 - 28589400*ln2^2*z2^3 - 
    5519736*z2^4 + 124320000*li5half*z3 - 3528000*li4half*ln2*z3 - 
    1183000*ln2^5*z3 + 7714000*ln2^3*z2*z3 + 83691300*ln2*z2^2*z3 - 
    24685500*ln2^2*z3^2 + 84798000*z2*z3^2 - 77469000*ln2^3*z5 + 
    133602000*ln2*z2*z5 - 169887375*z3*z5 + 293790000*ln2*z7)/4704000, 
 H[-1, 1, 0, 0, 1, -1, 1, 0, 1] -> (-61992000*ln2^2*s6 + 19488000*ln2*s7a - 
    32256000*ln2*s7b + 124769400*s8a + 643440000*s8b + 96768000*s8c + 
    72576000*s8d - 2352000*li5half*ln2*z2 + 19600*ln2^6*z2 - 
    229824000*s6*z2 + 14515200*li4half*z2^2 - 2237200*ln2^4*z2^2 + 
    28851200*ln2^2*z2^3 - 3480516*z2^4 - 140448000*li5half*z3 + 
    1170400*ln2^5*z3 - 11704000*ln2^3*z2*z3 - 92542800*ln2*z2^2*z3 + 
    9282000*ln2^2*z3^2 - 102564000*z2*z3^2 + 50127000*ln2^3*z5 - 
    196856625*ln2*z2*z5 + 242681250*z3*z5 - 145816125*ln2*z7)/2352000, 
 H[-1, 1, 0, 0, 1, -1, 1, -1, 1] -> 
  (169344000*li7half*ln2 + 4704000*li5half*ln2^3 - 72800*ln2^8 - 
    265104000*ln2^2*s6 + 71568000*ln2*s7a - 189504000*ln2*s7b + 
    450846900*s8a + 2056320000*s8b + 387072000*s8c + 177408000*s8d - 
    14112000*li5half*ln2*z2 + 1215200*ln2^6*z2 - 637056000*s6*z2 + 
    35481600*li4half*z2^2 + 2830800*ln2^4*z2^2 + 99943200*ln2^2*z2^3 + 
    805824*z2^4 - 347760000*li5half*z3 + 2898000*ln2^5*z3 - 
    25452000*ln2^3*z2*z3 - 276784200*ln2*z2^2*z3 + 38556000*ln2^2*z3^2 - 
    387324000*z2*z3^2 + 263166750*ln2^3*z5 - 627149250*ln2*z2*z5 + 
    776262375*z3*z5 - 897395625*ln2*z7)/14112000, 
 H[-1, 1, 0, 0, 1, -1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    351792000*ln2^2*s6 + 129024000*ln2*s7a - 153216000*ln2*s7b + 
    668741850*s8a + 3623760000*s8b + 558432000*s8c + 372960000*s8d - 
    56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 - 
    1268064000*s6*z2 + 20966400*li4half*z2^2 - 14414400*ln2^4*z2^2 + 
    131208000*ln2^2*z2^3 + 33135636*z2^4 - 710640000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 7098000*ln2^5*z3 - 66276000*ln2^3*z2*z3 - 
    556781400*ln2*z2^2*z3 + 49675500*ln2^2*z3^2 - 479902500*z2*z3^2 + 
    273420000*ln2^3*z5 - 1079253000*ln2*z2*z5 + 933604875*z3*z5 - 
    720294750*ln2*z7)/28224000, H[-1, 1, 0, 0, 1, -1, 0, 0, 1] -> 
  (43680000*ln2^2*s6 - 16128000*ln2*s7a + 21504000*ln2*s7b - 83179600*s8a - 
    428960000*s8b - 64512000*s8c - 48384000*s8d + 153216000*s6*z2 - 
    9676800*li4half*z2^2 - 403200*ln2^4*z2^2 - 16968000*ln2^2*z2^3 + 
    1548454*z2^4 + 94416000*li5half*z3 - 786800*ln2^5*z3 + 
    7868000*ln2^3*z2*z3 + 60950400*ln2*z2^2*z3 - 9103500*ln2^2*z3^2 + 
    68155500*z2*z3^2 - 36456000*ln2^3*z5 + 133381500*ln2*z2*z5 - 
    160556375*z3*z5 + 98043750*ln2*z7)/1568000, 
 H[-1, 1, 0, 0, 1, -1, 0, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    302400000*ln2^2*s6 - 80640000*ln2*s7a + 60480000*ln2*s7b - 
    450846900*s8a - 2056320000*s8b - 387072000*s8c - 177408000*s8d - 
    14112000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1881600*ln2^6*z2 + 
    608832000*s6*z2 + 57657600*li4half*z2^2 - 2301600*ln2^4*z2^2 - 
    128276400*ln2^2*z2^3 - 23699184*z2^4 + 361872000*li5half*z3 - 
    183456000*li4half*ln2*z3 - 10659600*ln2^5*z3 + 76020000*ln2^3*z2*z3 + 
    393170400*ln2*z2^2*z3 - 60259500*ln2^2*z3^2 + 402979500*z2*z3^2 - 
    159495000*ln2^3*z5 + 1081788750*ln2*z2*z5 - 812203875*z3*z5 + 
    49604625*ln2*z7)/14112000, H[-1, 1, 0, 0, 1, -1, -1, 1, 1] -> 
  (-56448000*li4half^2 + 1693440000*li8half - 451584000*li7half*ln2 + 
    56448000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 632800*ln2^8 - 
    470736000*ln2^2*s6 - 169344000*ln2*s7a - 56448000*ln2*s7b + 
    1330734825*s8a + 6549480000*s8b + 1280160000*s8c + 229824000*s8d + 
    2822400*ln2^6*z2 - 1214640000*s6*z2 + 96768000*li4half*z2^2 - 
    23133600*ln2^4*z2^2 + 117230400*ln2^2*z2^3 + 87201792*z2^4 - 
    501984000*li5half*z3 - 56448000*li4half*ln2*z3 + 1831200*ln2^5*z3 - 
    96516000*ln2^3*z2*z3 - 856812600*ln2*z2^2*z3 - 451678500*ln2^2*z3^2 - 
    1137622500*z2*z3^2 - 186837000*ln2^3*z5 - 3678192000*ln2*z2*z5 + 
    647742375*z3*z5 - 33295500*ln2*z7)/56448000, 
 H[-1, 1, 0, 0, 1, -1, -1, 0, 1] -> (142800000*ln2^2*s6 - 29568000*ln2*s7a + 
    92736000*ln2*s7b - 301326900*s8a - 1507968000*s8b - 259392000*s8c - 
    135744000*s8d + 9408000*li5half*ln2*z2 - 4704000*li4half*ln2^2*z2 - 
    274400*ln2^6*z2 + 473760000*s6*z2 - 29030400*li4half*z2^2 + 
    6042400*ln2^4*z2^2 - 61989200*ln2^2*z2^3 - 12540744*z2^4 + 
    302064000*li5half*z3 + 18816000*li4half*ln2*z3 - 1733200*ln2^5*z3 + 
    20468000*ln2^3*z2*z3 + 217513800*ln2*z2^2*z3 + 178500*ln2^2*z3^2 + 
    248934000*z2*z3^2 - 118482000*ln2^3*z5 + 490843500*ln2*z2*z5 - 
    493906875*z3*z5 + 472773000*ln2*z7)/9408000, 
 H[-1, 1, 0, 0, 1, -1, -1, -1, 1] -> 
  (-169344000*li4half^2 + 564480000*li8half + 451584000*li7half*ln2 - 
    37632000*li5half*ln2^3 - 9408000*li4half*ln2^4 + 140000*ln2^8 + 
    416304000*ln2^2*s6 - 60480000*ln2*s7a - 32256000*ln2*s7b - 
    659583225*s8a - 2737224000*s8b - 626976000*s8c - 205632000*s8d - 
    56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 + 
    785232000*s6*z2 + 102816000*li4half*z2^2 + 19454400*ln2^4*z2^2 - 
    205430400*ln2^2*z2^3 - 101952576*z2^4 + 439488000*li5half*z3 - 
    225792000*li4half*ln2*z3 - 13070400*ln2^5*z3 + 78960000*ln2^3*z2*z3 + 
    590499000*ln2*z2^2*z3 + 87538500*ln2^2*z3^2 + 607383000*z2*z3^2 - 
    22785000*ln2^3*z5 + 2193534000*ln2*z2*z5 - 1233248625*z3*z5 - 
    983808000*ln2*z7)/56448000, H[-1, 1, 0, 0, 0, 1, 1, 1, 1] -> 
  (18144000*ln2^2*s6 - 22176000*ln2*s7a + 15456000*ln2*s7b - 40470675*s8a - 
    204120000*s8b - 15456000*s8c - 36288000*s8d + 110208000*s6*z2 - 
    7257600*li4half*z2^2 - 302400*ln2^4*z2^2 - 6988800*ln2^2*z2^3 + 
    12773952*z2^4 + 72576000*li5half*z3 - 604800*ln2^5*z3 + 
    6048000*ln2^3*z2*z3 + 24591000*ln2*z2^2*z3 - 17976000*ln2^2*z3^2 + 
    24675000*z2*z3^2 - 33418000*ln2^3*z5 - 9324000*ln2*z2*z5 - 
    123729375*z3*z5 + 60818625*ln2*z7)/9408000, 
 H[-1, 1, 0, 0, 0, 1, 1, 0, 1] -> (5376000*ln2*s7a + 5376000*ln2*s7b - 
    2066925*s8a + 8736000*s8b - 10752000*s8c + 10752000*s8d - 
    27384000*s6*z2 + 2150400*li4half*z2^2 + 89600*ln2^4*z2^2 + 
    1568000*ln2^2*z2^3 - 5451948*z2^4 - 21504000*li5half*z3 + 
    179200*ln2^5*z3 - 1792000*ln2^3*z2*z3 - 940800*ln2*z2^2*z3 + 
    5880000*ln2^2*z3^2 + 11261250*z2*z3^2 + 25725000*ln2*z2*z5 + 
    10665375*z3*z5 + 18033750*ln2*z7)/4704000, 
 H[-1, 1, 0, 0, 0, 1, 1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    328608000*ln2^2*s6 + 171360000*ln2*s7a - 54432000*ln2*s7b + 
    543735675*s8a + 3007872000*s8b + 356832000*s8c + 391104000*s8d - 
    42336000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 - 1177344000*s6*z2 - 
    14918400*li4half*z2^2 - 2385600*ln2^4*z2^2 + 169419600*ln2^2*z2^3 - 
    14661072*z2^4 - 782208000*li5half*z3 + 183456000*li4half*ln2*z3 + 
    14162400*ln2^5*z3 - 105756000*ln2^3*z2*z3 - 529830000*ln2*z2^2*z3 + 
    149688000*ln2^2*z3^2 - 399483000*z2*z3^2 + 195951000*ln2^3*z5 - 
    835191000*ln2*z2*z5 + 1132684875*z3*z5 - 454978125*ln2*z7)/28224000, 
 H[-1, 1, 0, 0, 0, 1, 0, 1, 1] -> (-18144000*ln2^2*s6 + 12096000*ln2*s7a - 
    25536000*ln2*s7b + 54624675*s8a + 224784000*s8b + 30912000*s8c + 
    25536000*s8d - 81648000*s6*z2 + 5107200*li4half*z2^2 + 
    212800*ln2^4*z2^2 + 5488000*ln2^2*z2^3 - 8547032*z2^4 - 
    51072000*li5half*z3 + 425600*ln2^5*z3 - 4256000*ln2^3*z2*z3 - 
    28266000*ln2*z2^2*z3 + 12096000*ln2^2*z3^2 - 48541500*z2*z3^2 + 
    36456000*ln2^3*z5 - 21546000*ln2*z2*z5 + 143548125*z3*z5 - 
    124753125*ln2*z7)/4704000, H[-1, 1, 0, 0, 0, 1, 0, 0, 1] -> 
  (-620025*s8a + 840000*s8b + 672000*s6*z2 - 384000*ln2^2*z2^3 + 
    895406*z2^4 - 302400*ln2*z2^2*z3 - 157500*z2*z3^2 - 672000*ln2*z2*z5 - 
    2811375*z3*z5 - 714000*ln2*z7)/336000, H[-1, 1, 0, 0, 0, 1, 0, -1, 1] -> 
  (5644800*ln2^2*s6 - 2419200*ln2*s7a + 5107200*ln2*s7b - 13196400*s8a - 
    62966400*s8b - 10214400*s8c - 4838400*s8d + 19790400*s6*z2 - 
    967680*li4half*z2^2 - 40320*ln2^4*z2^2 - 2114000*ln2^2*z2^3 - 
    497066*z2^4 + 9676800*li5half*z3 - 80640*ln2^5*z3 + 806400*ln2^3*z2*z3 + 
    7344120*ln2*z2^2*z3 - 617400*ln2^2*z3^2 + 9652650*z2*z3^2 - 
    6076000*ln2^3*z5 + 11260200*ln2*z2*z5 - 16940700*z3*z5 + 36152025*ln2*z7)/
   940800, H[-1, 1, 0, 0, 0, 1, -1, 1, 1] -> 
  (31528000*ln2^2*s6 - 4032000*ln2*s7a + 8512000*ln2*s7b - 58122400*s8a - 
    283472000*s8b - 51072000*s8c - 24192000*s8d + 84056000*s6*z2 - 
    4838400*li4half*z2^2 + 386400*ln2^4*z2^2 - 14949200*ln2^2*z2^3 - 
    3388484*z2^4 + 48384000*li5half*z3 - 403200*ln2^5*z3 + 
    6678000*ln2^3*z2*z3 + 42800800*ln2*z2^2*z3 + 3452750*ln2^2*z3^2 + 
    48655250*z2*z3^2 - 12152000*ln2^3*z5 + 127820000*ln2*z2*z5 - 
    85169000*z3*z5 + 44867375*ln2*z7)/1568000, 
 H[-1, 1, 0, 0, 0, 1, -1, 0, 1] -> (-45696000*ln2^2*s6 + 12096000*ln2*s7a - 
    25536000*ln2*s7b + 87183600*s8a + 425208000*s8b + 76608000*s8c + 
    36288000*s8d - 126084000*s6*z2 + 7257600*li4half*z2^2 + 
    302400*ln2^4*z2^2 + 15297800*ln2^2*z2^3 + 5703591*z2^4 - 
    72576000*li5half*z3 + 604800*ln2^5*z3 - 6048000*ln2^3*z2*z3 - 
    58266600*ln2*z2^2*z3 + 3244500*ln2^2*z3^2 - 75886125*z2*z3^2 + 
    36456000*ln2^3*z5 - 155988000*ln2*z2*z5 + 132457500*z3*z5 - 
    134491875*ln2*z7)/2352000, H[-1, 1, 0, 0, 0, 1, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    201096000*ln2^2*s6 + 36288000*ln2*s7a - 20160000*ln2*s7b + 
    322616700*s8a + 1523088000*s8b + 280224000*s8c + 129024000*s8d - 
    21168000*li4half*ln2^2*z2 - 882000*ln2^6*z2 - 455616000*s6*z2 - 
    20764800*li4half*z2^2 - 1747200*ln2^4*z2^2 + 96075000*ln2^2*z2^3 + 
    20258262*z2^4 - 258048000*li5half*z3 + 91728000*li4half*ln2*z3 + 
    5972400*ln2^5*z3 - 52374000*ln2^3*z2*z3 - 274698900*ln2*z2^2*z3 + 
    6063750*ln2^2*z3^2 - 276979500*z2*z3^2 + 66076500*ln2^3*z5 - 
    813865500*ln2*z2*z5 + 519041250*z3*z5 + 3126375*ln2*z7)/14112000, 
 H[-1, 1, 0, 0, 0, 0, 1, 1, 1] -> (336000*ln2^2*s6 + 672000*ln2*s7b - 
    1301475*s8a - 5376000*s8b - 672000*s8c - 672000*s8d + 2016000*s6*z2 - 
    134400*li4half*z2^2 - 5600*ln2^4*z2^2 - 158400*ln2^2*z2^3 + 449724*z2^4 + 
    1344000*li5half*z3 - 11200*ln2^5*z3 + 112000*ln2^3*z2*z3 + 
    525000*ln2*z2^2*z3 - 252000*ln2^2*z3^2 + 1785000*z2*z3^2 - 
    868000*ln2^3*z5 + 672000*ln2*z2*z5 - 6092625*z3*z5 + 3333750*ln2*z7)/
   672000, H[-1, 1, 0, 0, 0, 0, 1, 0, 1] -> 
  (-45675*s8a - 504000*s8b + 64000*ln2^2*z2^3 - 174218*z2^4 + 
    100800*ln2*z2^2*z3 - 15750*z2*z3^2 - 52500*ln2*z2*z5 + 797125*z3*z5 + 
    564375*ln2*z7)/112000, H[-1, 1, 0, 0, 0, 0, 1, -1, 1] -> 
  (-22400*ln2*s7b + 4440*ln2^2*z2^3 - 6967*z2^4 + 4340*ln2*z2^2*z3 - 
    3150*ln2^2*z3^2 - 5250*z2*z3^2 + 21700*ln2^3*z5 - 700*ln2*z2*z5 + 
    44800*z3*z5)/22400, H[-1, 1, 0, 0, 0, 0, 0, 1, 1] -> 
  (2030*s8a + 11200*s8b - 512*ln2^2*z2^3 + 2008*z2^4 - 1344*ln2*z2^2*z3 - 
    1260*z2*z3^2 - 4200*ln2*z2*z5 - 6685*z3*z5 - 9030*ln2*z7)/4480, 
 H[-1, 1, 0, 0, 0, 0, 0, 0, 1] -> (3*(46*z2^4 - 105*z3*z5 - 147*ln2*z7))/448, 
 H[-1, 1, 0, 0, 0, 0, 0, -1, 1] -> 
  (25200*s8a + 336000*s8b - 6200*ln2^2*z2^3 + 63022*z2^4 - 
    14700*ln2*z2^2*z3 - 7875*z2*z3^2 - 26250*ln2*z2*z5 - 259875*z3*z5 - 
    553875*ln2*z7)/56000, H[-1, 1, 0, 0, 0, 0, -1, 1, 1] -> 
  (-168000*ln2^2*s6 + 288925*s8a + 1064000*s8b + 336000*s8c - 168000*s6*z2 + 
    26400*ln2^2*z2^3 + 86968*z2^4 - 180600*ln2*z2^2*z3 - 63000*ln2^2*z3^2 - 
    199500*z2*z3^2 - 672000*ln2*z2*z5 - 126875*z3*z5 - 220500*ln2*z7)/112000, 
 H[-1, 1, 0, 0, 0, 0, -1, 0, 1] -> (-315*s8a - 20160*s8b + 2480*ln2^2*z2^3 - 
    6676*z2^4 + 3528*ln2*z2^2*z3 + 630*z2*z3^2 + 2100*ln2*z2*z5 + 
    26565*z3*z5 + 17430*ln2*z7)/4480, H[-1, 1, 0, 0, 0, 0, -1, -1, 1] -> 
  (-168000*ln2^2*s6 + 497175*s8a + 2016000*s8b + 336000*s8c - 336000*s6*z2 + 
    114000*ln2^2*z2^3 + 88368*z2^4 - 140700*ln2*z2^2*z3 - 220500*ln2^2*z3^2 - 
    341250*z2*z3^2 - 108500*ln2^3*z5 - 682500*ln2*z2*z5 + 139125*z3*z5 - 
    1672125*ln2*z7)/336000, H[-1, 1, 0, 0, 0, -1, 1, 1, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 - 
    34776000*ln2^2*s6 + 7660800*ln2*s7a - 10684800*ln2*s7b + 68285700*s8a + 
    333698400*s8b + 57052800*s8c + 30441600*s8d + 1411200*li4half*ln2^2*z2 + 
    58800*ln2^6*z2 - 106041600*s6*z2 + 3407040*li4half*z2^2 - 
    916440*ln2^4*z2^2 + 15823080*ln2^2*z2^3 + 3310542*z2^4 - 
    60883200*li5half*z3 + 1411200*li4half*ln2*z3 + 566160*ln2^5*z3 - 
    7014000*ln2^3*z2*z3 - 52969140*ln2*z2^2*z3 + 229950*ln2^2*z3^2 - 
    52513650*z2*z3^2 + 15493800*ln2^3*z5 - 132363000*ln2*z2*z5 + 
    97024725*z3*z5 - 53028675*ln2*z7)/2822400, 
 H[-1, 1, 0, 0, 0, -1, 1, 0, 1] -> (45696000*ln2^2*s6 - 12096000*ln2*s7a + 
    25536000*ln2*s7b - 91123200*s8a - 425208000*s8b - 76608000*s8c - 
    36288000*s8d + 129024000*s6*z2 - 7257600*li4half*z2^2 - 
    302400*ln2^4*z2^2 - 15122800*ln2^2*z2^3 - 3703257*z2^4 + 
    72576000*li5half*z3 - 604800*ln2^5*z3 + 6048000*ln2^3*z2*z3 + 
    59325000*ln2*z2^2*z3 - 3465000*ln2^2*z3^2 + 77631750*z2*z3^2 - 
    36456000*ln2^3*z5 + 151284000*ln2*z2*z5 - 142747500*z3*z5 + 
    128961000*ln2*z7)/2352000, H[-1, 1, 0, 0, 0, -1, 1, -1, 1] -> 
  (29344000*ln2^2*s6 - 3808000*ln2*s7a + 12656000*ln2*s7b - 60748800*s8a - 
    283472000*s8b - 51072000*s8c - 24192000*s8d + 86016000*s6*z2 - 
    4838400*li4half*z2^2 + 386400*ln2^4*z2^2 - 13897800*ln2^2*z2^3 - 
    1471548*z2^4 + 48384000*li5half*z3 - 403200*ln2^5*z3 + 
    6678000*ln2^3*z2*z3 + 41511400*ln2*z2^2*z3 + 1834000*ln2^2*z3^2 + 
    51338000*z2*z3^2 - 15949500*ln2^3*z5 + 115524500*ln2*z2*z5 - 
    98301000*z3*z5 + 61131875*ln2*z7)/1568000, 
 H[-1, 1, 0, 0, 0, -1, 0, 1, 1] -> (-18816000*ln2^2*s6 + 12096000*ln2*s7a - 
    25536000*ln2*s7b + 49745850*s8a + 227808000*s8b + 32256000*s8c + 
    24192000*s8d - 67200000*s6*z2 + 4838400*li4half*z2^2 + 
    201600*ln2^4*z2^2 + 5348000*ln2^2*z2^3 - 2932474*z2^4 - 
    48384000*li5half*z3 + 403200*ln2^5*z3 - 4032000*ln2^3*z2*z3 - 
    27547800*ln2*z2^2*z3 + 11466000*ln2^2*z3^2 - 51093000*z2*z3^2 + 
    36456000*ln2^3*z5 - 52038000*ln2*z2*z5 + 126892500*z3*z5 - 
    127031625*ln2*z7)/4704000, H[-1, 1, 0, 0, 0, -1, 0, 0, 1] -> 
  (-326025*s8a + 840000*s8b + 672000*s6*z2 - 372000*ln2^2*z2^3 + 
    846136*z2^4 - 264600*ln2*z2^2*z3 - 126000*z2*z3^2 - 630000*ln2*z2*z5 - 
    2842875*z3*z5 - 952875*ln2*z7)/336000, H[-1, 1, 0, 0, 0, -1, 0, -1, 1] -> 
  (28224000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 66966900*s8a - 
    286608000*s8b - 51072000*s8c - 24192000*s8d + 104832000*s6*z2 - 
    4838400*li4half*z2^2 - 201600*ln2^4*z2^2 - 10698800*ln2^2*z2^3 + 
    4401886*z2^4 + 48384000*li5half*z3 - 403200*ln2^5*z3 + 
    4032000*ln2^3*z2*z3 + 36955800*ln2*z2^2*z3 - 2646000*ln2^2*z3^2 + 
    46756500*z2*z3^2 - 30380000*ln2^3*z5 + 43071000*ln2*z2*z5 - 
    109473000*z3*z5 + 127031625*ln2*z7)/4704000, 
 H[-1, 1, 0, 0, 0, -1, -1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    106344000*ln2^2*s6 + 54432000*ln2*s7a - 37296000*ln2*s7b + 
    219235275*s8a + 1191456000*s8b + 117936000*s8c + 185472000*s8d + 
    7056000*li4half*ln2^2*z2 + 294000*ln2^6*z2 - 529704000*s6*z2 + 
    23688000*li4half*z2^2 - 4305000*ln2^4*z2^2 + 51471000*ln2^2*z2^3 - 
    36455346*z2^4 - 370944000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    3385200*ln2^5*z3 - 30030000*ln2^3*z2*z3 - 194273100*ln2*z2^2*z3 + 
    65126250*ln2^2*z3^2 - 163311750*z2*z3^2 + 100254000*ln2^3*z5 - 
    241384500*ln2*z2*z5 + 604044000*z3*z5 - 146876625*ln2*z7)/14112000, 
 H[-1, 1, 0, 0, 0, -1, -1, 0, 1] -> (-1075200*ln2*s7a - 1075200*ln2*s7b - 
    197400*s8a - 1747200*s8b + 2150400*s8c - 2150400*s8d + 4300800*s6*z2 - 
    430080*li4half*z2^2 - 17920*ln2^4*z2^2 - 232400*ln2^2*z2^3 + 
    1458906*z2^4 + 4300800*li5half*z3 - 35840*ln2^5*z3 + 358400*ln2^3*z2*z3 + 
    723240*ln2*z2^2*z3 - 1293600*ln2^2*z3^2 - 69300*z2*z3^2 - 
    1440600*ln2*z2*z5 - 8608425*z3*z5 - 7928550*ln2*z7)/940800, 
 H[-1, 1, 0, 0, 0, -1, -1, -1, 1] -> 
  (9408000*ln2^2*s6 + 672000*ln2*s7a + 12432000*ln2*s7b - 26505675*s8a - 
    109452000*s8b - 20160000*s8c - 10416000*s8d + 39648000*s6*z2 - 
    2083200*li4half*z2^2 - 86800*ln2^4*z2^2 - 3906000*ln2^2*z2^3 + 
    2648172*z2^4 + 20832000*li5half*z3 - 173600*ln2^5*z3 + 
    1736000*ln2^3*z2*z3 + 14876400*ln2*z2^2*z3 - 2278500*ln2^2*z3^2 + 
    20853000*z2*z3^2 - 12911500*ln2^3*z5 + 16758000*ln2*z2*z5 - 
    53610375*z3*z5 + 53920125*ln2*z7)/4704000, 
 H[-1, 1, 0, 0, -1, 1, 1, 1, 1] -> (9408000*li4half^2 - 188160000*li8half - 
    75264000*li7half*ln2 - 56448000*li6half*ln2^2 - 6272000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 65800*ln2^8 - 125328000*ln2^2*s6 + 
    4032000*ln2*s7a - 57120000*ln2*s7b + 205391550*s8a + 909216000*s8b + 
    190848000*s8c + 77280000*s8d + 56448000*li6half*z2 + 
    18816000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 
    262752000*s6*z2 - 11356800*li4half*z2^2 - 2237200*ln2^4*z2^2 + 
    58396800*ln2^2*z2^3 + 23549928*z2^4 - 187488000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 2150400*ln2^5*z3 - 14448000*ln2^3*z2*z3 - 
    154719600*ln2*z2^2*z3 + 5838000*ln2^2*z3^2 - 200466000*z2*z3^2 + 
    74431000*ln2^3*z5 - 448413000*ln2*z2*z5 + 429665250*z3*z5 - 
    227269875*ln2*z7)/18816000, H[-1, 1, 0, 0, -1, 1, 1, 0, 1] -> 
  (564480*li4half^2 + 47040*li4half*ln2^4 + 980*ln2^8 + 8930880*ln2^2*s6 - 
    2136960*ln2*s7a + 5201280*ln2*s7b - 17839710*s8a - 87867360*s8b - 
    14999040*s8c - 8709120*s8d - 1693440*li6half*z2 - 2352*ln2^6*z2 + 
    27790560*s6*z2 - 1685376*li4half*z2^2 + 247296*ln2^4*z2^2 - 
    3863328*ln2^2*z2^3 + 61344*z2^4 + 17418240*li5half*z3 - 
    141120*li4half*ln2*z3 - 151032*ln2^5*z3 + 1486800*ln2^3*z2*z3 + 
    12514824*ln2*z2^2*z3 - 769230*ln2^2*z3^2 + 16470720*z2*z3^2 - 
    7108920*ln2^3*z5 + 31385340*ln2*z2*z5 - 34444620*z3*z5 + 23307165*ln2*z7)/
   564480, H[-1, 1, 0, 0, -1, 1, 1, -1, 1] -> 
  (32256000*li4half^2 + 80640000*li8half + 32256000*li7half*ln2 + 
    24192000*li6half*ln2^2 + 5376000*li5half*ln2^3 + 2016000*li4half*ln2^4 + 
    12400*ln2^8 + 28080000*ln2^2*s6 + 33408000*ln2*s7a + 47520000*ln2*s7b - 
    60407550*s8a - 78624000*s8b - 88704000*s8c + 38304000*s8d - 
    24192000*li6half*z2 - 16128000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 - 44800*ln2^6*z2 - 68544000*s6*z2 - 
    16934400*li4half*z2^2 - 2503200*ln2^4*z2^2 - 7401600*ln2^2*z2^3 - 
    13809888*z2^4 - 68544000*li5half*z3 + 38304000*li4half*ln2*z3 + 
    2167200*ln2^5*z3 - 5460000*ln2^3*z2*z3 - 12704400*ln2*z2^2*z3 + 
    44532000*ln2^2*z3^2 + 79128000*z2*z3^2 - 30597000*ln2^3*z5 + 
    176859000*ln2*z2*z5 - 52242750*z3*z5 + 127171125*ln2*z7)/8064000, 
 H[-1, 1, 0, 0, -1, 1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    173376000*ln2^2*s6 - 64512000*ln2*s7a + 76608000*ln2*s7b - 
    342614475*s8a - 1805832000*s8b - 274176000*s8c - 191520000*s8d - 
    84672000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 705600*ln2^6*z2 + 
    584136000*s6*z2 - 11491200*li4half*z2^2 + 6577200*ln2^4*z2^2 - 
    62941200*ln2^2*z2^3 + 2310324*z2^4 + 383040000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 3780000*ln2^5*z3 + 35448000*ln2^3*z2*z3 + 
    282958200*ln2*z2^2*z3 - 28192500*ln2^2*z3^2 + 276853500*z2*z3^2 - 
    136710000*ln2^3*z5 + 586467000*ln2*z2*z5 - 574780500*z3*z5 + 
    352319625*ln2*z7)/14112000, H[-1, 1, 0, 0, -1, 1, 0, 0, 1] -> 
  (-21840000*ln2^2*s6 + 8064000*ln2*s7a - 10752000*ln2*s7b + 41589800*s8a + 
    214480000*s8b + 32256000*s8c + 24192000*s8d - 76608000*s6*z2 + 
    4838400*li4half*z2^2 + 201600*ln2^4*z2^2 + 8484000*ln2^2*z2^3 - 
    697717*z2^4 - 48384000*li5half*z3 + 403200*ln2^5*z3 - 
    4032000*ln2^3*z2*z3 - 30901500*ln2*z2^2*z3 + 4772250*ln2^2*z3^2 - 
    34592250*z2*z3^2 + 18228000*ln2^3*z5 - 66298750*ln2*z2*z5 + 
    82075875*z3*z5 - 49407750*ln2*z7)/784000, 
 H[-1, 1, 0, 0, -1, 1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    302400000*ln2^2*s6 + 80640000*ln2*s7a - 60480000*ln2*s7b + 
    445863600*s8a + 2070432000*s8b + 387072000*s8c + 177408000*s8d - 
    42336000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 1822800*ln2^6*z2 - 
    638820000*s6*z2 - 57657600*li4half*z2^2 + 2007600*ln2^4*z2^2 + 
    129103800*ln2^2*z2^3 + 33951216*z2^4 - 354816000*li5half*z3 + 
    183456000*li4half*ln2*z3 + 10600800*ln2^5*z3 - 75432000*ln2^3*z2*z3 - 
    393258600*ln2*z2^2*z3 + 62905500*ln2^2*z3^2 - 384237000*z2*z3^2 + 
    159495000*ln2^3*z5 - 1050808500*ln2*z2*z5 + 758567250*z3*z5 - 
    69780375*ln2*z7)/14112000, H[-1, 1, 0, 0, -1, 1, -1, 1, 1] -> 
  (56448000*li8half + 8467200*li6half*ln2^2 + 13160*ln2^8 + 
    42890400*ln2^2*s6 - 8870400*ln2*s7a + 19353600*ln2*s7b - 63303975*s8a - 
    284155200*s8b - 56044800*s8c - 27216000*s8d - 8467200*li6half*z2 - 
    227360*ln2^6*z2 + 90064800*s6*z2 - 5443200*li4half*z2^2 - 
    556080*ln2^4*z2^2 - 18983160*ln2^2*z2^3 - 4754808*z2^4 + 
    54432000*li5half*z3 - 453600*ln2^5*z3 + 3830400*ln2^3*z2*z3 + 
    43822800*ln2*z2^2*z3 - 2898000*ln2^2*z3^2 + 55351800*z2*z3^2 - 
    27342000*ln2^3*z5 + 110401200*ln2*z2*z5 - 118857375*z3*z5 + 
    97687800*ln2*z7)/2822400, H[-1, 1, 0, 0, -1, 1, -1, 0, 1] -> 
  (-61992000*ln2^2*s6 + 19488000*ln2*s7a - 32256000*ln2*s7b + 124769400*s8a + 
    643440000*s8b + 96768000*s8c + 72576000*s8d + 7056000*li6half*z2 + 
    9800*ln2^6*z2 - 224826000*s6*z2 + 14515200*li4half*z2^2 - 
    2188200*ln2^4*z2^2 + 28858900*ln2^2*z2^3 - 3488916*z2^4 - 
    145152000*li5half*z3 + 1209600*ln2^5*z3 - 12096000*ln2^3*z2*z3 - 
    94012800*ln2*z2^2*z3 + 9870000*ln2^2*z3^2 - 102894750*z2*z3^2 + 
    50127000*ln2^3*z5 - 196140000*ln2*z2*z5 + 241248000*z3*z5 - 
    156620625*ln2*z7)/2352000, H[-1, 1, 0, 0, -1, 1, -1, -1, 1] -> 
  (12096000*li4half^2 + 40320000*li8half - 6048000*li6half*ln2^2 + 
    672000*li5half*ln2^3 + 1008000*li4half*ln2^4 + 8000*ln2^8 - 
    44388000*ln2^2*s6 + 10368000*ln2*s7a - 4752000*ln2*s7b + 67422600*s8a + 
    350784000*s8b + 54432000*s8c + 33264000*s8d - 6048000*li6half*z2 - 
    2016000*li5half*ln2*z2 - 4536000*li4half*ln2^2*z2 - 26600*ln2^6*z2 - 
    112140000*s6*z2 - 3326400*li4half*z2^2 - 79800*ln2^4*z2^2 + 
    17348400*ln2^2*z2^3 + 898596*z2^4 - 65520000*li5half*z3 + 
    19656000*li4half*ln2*z3 + 1365000*ln2^5*z3 - 8862000*ln2^3*z2*z3 - 
    59724900*ln2*z2^2*z3 + 6140250*ln2^2*z3^2 - 54416250*z2*z3^2 + 
    16112250*ln2^3*z5 - 153258750*ln2*z2*z5 + 103249125*z3*z5 - 
    3564000*ln2*z7)/2016000, H[-1, 1, 0, 0, -1, 0, 1, 1, 1] -> 
  (-18984000*ln2^2*s6 + 24192000*ln2*s7a - 11088000*ln2*s7b + 30515100*s8a + 
    191184000*s8b + 13104000*s8c + 33936000*s8d - 103152000*s6*z2 + 
    6787200*li4half*z2^2 + 282800*ln2^4*z2^2 + 6571600*ln2^2*z2^3 - 
    7801054*z2^4 - 67872000*li5half*z3 + 565600*ln2^5*z3 - 
    5656000*ln2^3*z2*z3 - 26229000*ln2*z2^2*z3 + 17151750*ln2^2*z3^2 - 
    12143250*z2*z3^2 + 30380000*ln2^3*z5 + 5754000*ln2*z2*z5 + 
    76799625*z3*z5 - 38818500*ln2*z7)/4704000, 
 H[-1, 1, 0, 0, -1, 0, 1, 0, 1] -> (-12096000*ln2*s7a - 12096000*ln2*s7b + 
    7437150*s8a - 25536000*s8b + 24192000*s8c - 24192000*s8d + 
    60144000*s6*z2 - 4838400*li4half*z2^2 - 201600*ln2^4*z2^2 - 
    2604000*ln2^2*z2^3 + 9124814*z2^4 + 48384000*li5half*z3 - 
    403200*ln2^5*z3 + 4032000*ln2^3*z2*z3 + 6967800*ln2*z2^2*z3 - 
    14553000*ln2^2*z3^2 - 26743500*z2*z3^2 - 58285500*ln2*z2*z5 - 
    8153250*z3*z5 - 41173125*ln2*z7)/4704000, 
 H[-1, 1, 0, 0, -1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    81144000*ln2^2*s6 - 72576000*ln2*s7a - 19656000*ln2*s7b - 79573725*s8a - 
    615384000*s8b - 24192000*s8c - 116928000*s8d + 
    21168000*li4half*ln2^2*z2 + 882000*ln2^6*z2 + 307944000*s6*z2 + 
    23184000*li4half*z2^2 - 798000*ln2^4*z2^2 - 39914700*ln2^2*z2^3 + 
    7193544*z2^4 + 233856000*li5half*z3 - 91728000*li4half*ln2*z3 - 
    5770800*ln2^5*z3 + 30513000*ln2^3*z2*z3 + 143854200*ln2*z2^2*z3 - 
    85002750*ln2^2*z3^2 + 40524750*z2*z3^2 - 39873750*ln2^3*z5 + 
    99445500*ln2*z2*z5 - 237832875*z3*z5 - 27916875*ln2*z7)/7056000, 
 H[-1, 1, 0, 0, -1, 0, 0, 1, 1] -> (34272000*ln2^2*s6 - 24192000*ln2*s7a + 
    32256000*ln2*s7b - 70862925*s8a - 341712000*s8b - 48384000*s8c - 
    36288000*s8d + 124320000*s6*z2 - 7257600*li4half*z2^2 - 
    302400*ln2^4*z2^2 - 8534400*ln2^2*z2^3 + 4609012*z2^4 + 
    72576000*li5half*z3 - 604800*ln2^5*z3 + 6048000*ln2^3*z2*z3 + 
    43810200*ln2*z2^2*z3 - 17482500*ln2^2*z3^2 + 55030500*z2*z3^2 - 
    54684000*ln2^3*z5 + 50253000*ln2*z2*z5 - 140873250*z3*z5 + 
    150795750*ln2*z7)/4704000, H[-1, 1, 0, 0, -1, 0, 0, 0, 1] -> 
  (7245*s8a + 11200*s8b - 13440*s6*z2 + 4960*ln2^2*z2^3 - 6584*z2^4 + 
    1176*ln2*z2^2*z3 + 5670*z2*z3^2 + 12600*ln2*z2*z5 + 1680*z3*z5 - 
    13930*ln2*z7)/4480, H[-1, 1, 0, 0, -1, 0, 0, -1, 1] -> 
  (-21168000*ln2^2*s6 + 12096000*ln2*s7a - 16128000*ln2*s7b + 44839725*s8a + 
    243096000*s8b + 32256000*s8c + 24192000*s8d - 84840000*s6*z2 + 
    4838400*li4half*z2^2 + 201600*ln2^4*z2^2 + 8034600*ln2^2*z2^3 + 
    1446481*z2^4 - 48384000*li5half*z3 + 403200*ln2^5*z3 - 
    4032000*ln2^3*z2*z3 - 30825900*ln2*z2^2*z3 + 7607250*ln2^2*z3^2 - 
    30917250*z2*z3^2 + 22785000*ln2^3*z5 - 34434750*ln2*z2*z5 + 
    62157375*z3*z5 - 124404000*ln2*z7)/2352000, 
 H[-1, 1, 0, 0, -1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    23184000*ln2^2*s6 - 169344000*ln2*s7a + 112896000*ln2*s7b - 
    129261825*s8a - 1046304000*s8b + 38304000*s8c - 249984000*s8d - 
    28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 732816000*s6*z2 + 
    3628800*li4half*z2^2 + 10735200*ln2^4*z2^2 + 6283200*ln2^2*z2^3 + 
    80065068*z2^4 + 499968000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    5342400*ln2^5*z3 + 22260000*ln2^3*z2*z3 + 147961800*ln2*z2^2*z3 - 
    196339500*ln2^2*z3^2 + 14710500*z2*z3^2 - 273420000*ln2^3*z5 - 
    475209000*ln2*z2*z5 - 620904375*z3*z5 + 433282500*ln2*z7)/28224000, 
 H[-1, 1, 0, 0, -1, 0, -1, 0, 1] -> 
  (1344000*ln2*s7a + 1344000*ln2*s7b + 1025850*s8a + 3360000*s8b - 
    2688000*s8c + 2688000*s8d - 7728000*s6*z2 + 537600*li4half*z2^2 + 
    22400*ln2^4*z2^2 + 462000*ln2^2*z2^3 - 2504554*z2^4 - 
    5376000*li5half*z3 + 44800*ln2^5*z3 - 448000*ln2^3*z2*z3 - 
    558600*ln2*z2^2*z3 + 1264200*ln2^2*z3^2 + 678300*z2*z3^2 + 
    4718700*ln2*z2*z5 + 12040350*z3*z5 + 9001125*ln2*z7)/940800, 
 H[-1, 1, 0, 0, -1, 0, -1, -1, 1] -> 
  (-56112000*ln2^2*s6 + 29568000*ln2*s7a - 64512000*ln2*s7b + 145987275*s8a + 
    699216000*s8b + 100128000*s8c + 73920000*s8d - 251328000*s6*z2 + 
    14784000*li4half*z2^2 + 616000*ln2^4*z2^2 + 22416800*ln2^2*z2^3 - 
    8274296*z2^4 - 147840000*li5half*z3 + 1232000*ln2^5*z3 - 
    12320000*ln2^3*z2*z3 - 88691400*ln2*z2^2*z3 + 25084500*ln2^2*z3^2 - 
    110670000*z2*z3^2 + 80507000*ln2^3*z5 - 76041000*ln2*z2*z5 + 
    278263125*z3*z5 - 386631000*ln2*z7)/9408000, 
 H[-1, 1, 0, 0, -1, -1, 1, 1, 1] -> (8064000*li4half^2 - 16128000*li8half + 
    112896000*li7half*ln2 - 8064000*li6half*ln2^2 - 5376000*li5half*ln2^3 + 
    1344000*li4half*ln2^4 + 52800*ln2^8 - 93456000*ln2^2*s6 + 
    66240000*ln2*s7a - 60768000*ln2*s7b + 107663850*s8a + 570528000*s8b + 
    72576000*s8c + 78624000*s8d + 8064000*li6half*z2 + 
    16128000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 78400*ln2^6*z2 - 
    241920000*s6*z2 + 8870400*li4half*z2^2 + 3427200*ln2^4*z2^2 + 
    39960000*ln2^2*z2^3 - 8463384*z2^4 - 185472000*li5half*z3 + 
    2016000*li4half*ln2*z3 + 1512000*ln2^5*z3 - 10752000*ln2^3*z2*z3 - 
    86126400*ln2*z2^2*z3 + 59742000*ln2^2*z3^2 - 69930000*z2*z3^2 + 
    120435000*ln2^3*z5 - 27441000*ln2*z2*z5 + 244172250*z3*z5 - 
    383500125*ln2*z7)/8064000, H[-1, 1, 0, 0, -1, -1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    143640000*ln2^2*s6 - 39312000*ln2*s7a + 87696000*ln2*s7b - 
    321526800*s8a - 1624896000*s8b - 229824000*s8c - 193536000*s8d - 
    14112000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 313600*ln2^6*z2 + 
    607572000*s6*z2 - 63403200*li4half*z2^2 + 5590200*ln2^4*z2^2 - 
    67922400*ln2^2*z2^3 + 19361502*z2^4 + 387072000*li5half*z3 + 
    45864000*li4half*ln2*z3 - 1314600*ln2^5*z3 + 18732000*ln2^3*z2*z3 + 
    210155400*ln2*z2^2*z3 - 11859750*ln2^2*z3^2 + 235651500*z2*z3^2 - 
    123039000*ln2^3*z5 + 380488500*ln2*z2*z5 - 583695000*z3*z5 + 
    503409375*ln2*z7)/14112000, H[-1, 1, 0, 0, -1, -1, 1, -1, 1] -> 
  (752640*li4half^2 + 1505280*li8half - 10536960*li7half*ln2 + 
    752640*li6half*ln2^2 + 250880*li5half*ln2^3 - 224*ln2^8 + 
    11007360*ln2^2*s6 - 4247040*ln2*s7a + 8736000*ln2*s7b - 16902690*s8a - 
    87669120*s8b - 13332480*s8c - 8682240*s8d - 752640*li6half*z2 - 
    752640*li5half*ln2*z2 - 564480*li4half*ln2^2*z2 - 42336*ln2^6*z2 + 
    28277760*s6*z2 - 2300928*li4half*z2^2 - 354592*ln2^4*z2^2 - 
    4423104*ln2^2*z2^3 - 672744*z2^4 + 17740800*li5half*z3 + 
    1693440*li4half*ln2*z3 - 66304*ln2^5*z3 + 451360*ln2^3*z2*z3 + 
    10532256*ln2*z2^2*z3 - 3780840*ln2^2*z3^2 + 13403880*z2*z3^2 - 
    12030480*ln2^3*z5 + 12289200*ln2*z2*z5 - 26271630*z3*z5 + 
    65421825*ln2*z7)/752640, H[-1, 1, 0, 0, -1, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    68544000*ln2^2*s6 - 94752000*ln2*s7a - 38304000*ln2*s7b - 20092275*s8a - 
    354816000*s8b + 24192000*s8c - 108864000*s8d - 56448000*li6half*z2 + 
    14112000*li4half*ln2^2*z2 + 509600*ln2^6*z2 + 309456000*s6*z2 + 
    9273600*li4half*z2^2 - 201600*ln2^4*z2^2 - 19420800*ln2^2*z2^3 + 
    37767876*z2^4 + 217728000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    3872400*ln2^5*z3 + 22260000*ln2^3*z2*z3 + 100233000*ln2*z2^2*z3 - 
    73773000*ln2^2*z3^2 - 51219000*z2*z3^2 - 54684000*ln2^3*z5 - 
    85302000*ln2*z2*z5 - 120810375*z3*z5 - 312291000*ln2*z7)/28224000, 
 H[-1, 1, 0, 0, -1, -1, 0, 0, 1] -> (-40320*li4half^2 - 3360*li4half*ln2^4 - 
    70*ln2^8 + 20160*ln2^2*s6 - 20160*ln2*s7a - 20160*ln2*s7b + 50400*s8b + 
    20160*li4half*ln2^2*z2 + 840*ln2^6*z2 - 10080*s6*z2 + 
    49392*li4half*z2^2 - 462*ln2^4*z2^2 - 15876*ln2^2*z2^3 + 4770*z2^4 - 
    70560*li4half*ln2*z3 - 2940*ln2^5*z3 + 17640*ln2^3*z2*z3 + 
    46494*ln2*z2^2*z3 - 28035*ln2^2*z3^2 + 25515*z2*z3^2 + 73710*ln2*z2*z5 - 
    142380*z3*z5 - 205695*ln2*z7)/20160, H[-1, 1, 0, 0, -1, -1, 0, -1, 1] -> 
  (-1975680*li4half^2 - 164640*li4half*ln2^4 - 3430*ln2^8 + 564480*ln2^2*s6 - 
    1310400*ln2*s7a - 1874880*ln2*s7b + 1274805*s8a + 7131600*s8b + 
    1774080*s8c - 645120*s8d - 282240*li6half*z2 + 987840*li4half*ln2^2*z2 + 
    40768*ln2^6*z2 + 761040*s6*z2 + 1479744*li4half*z2^2 - 55944*ln2^4*z2^2 - 
    493248*ln2^2*z2^3 + 916140*z2^4 + 1290240*li5half*z3 - 
    3457440*li4half*ln2*z3 - 154812*ln2^5*z3 + 930720*ln2^3*z2*z3 + 
    1323000*ln2*z2^2*z3 - 1750770*ln2^2*z3^2 - 1237950*z2*z3^2 + 
    455700*ln2^3*z5 - 141120*ln2*z2*z5 - 3708180*z3*z5 - 17110170*ln2*z7)/
   282240, H[-1, 1, 0, 0, -1, -1, -1, 1, 1] -> 
  (-42336000*li4half^2 - 790272000*li8half + 169344000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 
    9100*ln2^8 + 37800000*ln2^2*s6 - 38304000*ln2*s7a - 52416000*ln2*s7b - 
    196202475*s8a - 1583568000*s8b - 104832000*s8c - 170352000*s8d - 
    28224000*li6half*z2 - 7056000*li4half*ln2^2*z2 - 450800*ln2^6*z2 + 
    531216000*s6*z2 + 3326400*li4half*z2^2 + 14074200*ln2^4*z2^2 + 
    29685600*ln2^2*z2^3 + 57191724*z2^4 + 347760000*li5half*z3 - 
    42336000*li4half*ln2*z3 - 4250400*ln2^5*z3 + 21336000*ln2^3*z2*z3 + 
    220739400*ln2*z2^2*z3 + 13608000*ln2^2*z3^2 + 101556000*z2*z3^2 + 
    36456000*ln2^3*z5 + 468909000*ln2*z2*z5 - 97453125*z3*z5 - 
    486596250*ln2*z7)/28224000, H[-1, 1, 0, 0, -1, -1, -1, 0, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 + 3628800*ln2*s7a + 
    3628800*ln2*s7b - 2034900*s8a + 11188800*s8b - 7257600*s8c + 
    7257600*s8d + 5644800*li6half*z2 - 2822400*li4half*ln2^2*z2 - 
    109760*ln2^6*z2 - 20865600*s6*z2 - 1935360*li4half*z2^2 + 
    154560*ln2^4*z2^2 + 1344000*ln2^2*z2^3 - 4261032*z2^4 - 
    24393600*li5half*z3 + 203280*ln2^5*z3 - 1209600*ln2^3*z2*z3 - 
    3845520*ln2*z2^2*z3 + 2072700*ln2^2*z3^2 + 8971200*z2*z3^2 + 
    21873600*ln2*z2*z5 + 13945050*z3*z5 + 12478725*ln2*z7)/5644800, 
 H[-1, 1, 0, 0, -1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 338688000*li8half - 169344000*li7half*ln2 - 
    28224000*li6half*ln2^2 - 7056000*li4half*ln2^4 - 161000*ln2^8 + 
    35784000*ln2^2*s6 - 44352000*ln2*s7a - 100800000*ln2*s7b + 73995075*s8a + 
    230832000*s8b + 80640000*s8c - 17136000*s8d + 28224000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 2273600*ln2^6*z2 - 
    4536000*s6*z2 + 64310400*li4half*z2^2 - 4376400*ln2^4*z2^2 - 
    15372000*ln2^2*z2^3 + 42533532*z2^4 + 20160000*li5half*z3 - 
    162288000*li4half*ln2*z3 - 7341600*ln2^5*z3 + 46368000*ln2^3*z2*z3 + 
    55137600*ln2*z2^2*z3 - 77805000*ln2^2*z3^2 - 65772000*z2*z3^2 + 
    27342000*ln2^3*z5 + 69615000*ln2*z2*z5 + 31003875*z3*z5 - 
    747243000*ln2*z7)/28224000, H[-1, 1, 0, -1, 1, 1, 1, 1, 1] -> 
  (-2709504000*li8half - 508032000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 131600*ln2^8 + 
    21168000*ln2^2*s6 + 16128000*ln2*s7a - 110880000*ln2*s7b - 
    395714025*s8a - 3039624000*s8b - 187488000*s8c - 264096000*s8d + 
    225792000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 + 810432000*s6*z2 - 
    79632000*li4half*z2^2 + 17908800*ln2^4*z2^2 + 62496000*ln2^2*z2^3 + 
    178139016*z2^4 + 330624000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    3402000*ln2^5*z3 + 36372000*ln2^3*z2*z3 + 295734600*ln2*z2^2*z3 + 
    101650500*ln2^2*z3^2 + 177880500*z2*z3^2 + 191394000*ln2^3*z5 + 
    687078000*ln2*z2*z5 + 340255125*z3*z5 - 59842125*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, 1, 1, 1, 0, 1] -> (70560000*li4half^2 + 4515840000*li8half + 
    903168000*li7half*ln2 + 56448000*li6half*ln2^2 + 5880000*li4half*ln2^4 + 
    133700*ln2^8 - 552888000*ln2^2*s6 + 158256000*ln2*s7a - 
    60480000*ln2*s7b + 1295483175*s8a + 8406720000*s8b + 768096000*s8c + 
    798336000*s8d - 84672000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 1430800*ln2^6*z2 - 2436336000*s6*z2 + 
    114508800*li4half*z2^2 - 4989600*ln2^4*z2^2 + 67208400*ln2^2*z2^3 - 
    325851192*z2^4 - 1568448000*li5half*z3 + 88200000*li4half*ln2*z3 + 
    16745400*ln2^5*z3 - 137760000*ln2^3*z2*z3 - 1047438000*ln2*z2^2*z3 + 
    107005500*ln2^2*z3^2 - 877275000*z2*z3^2 + 211900500*ln2^3*z5 - 
    2017701000*ln2*z2*z5 + 955528875*z3*z5 - 1215829125*ln2*z7)/28224000, 
 H[-1, 1, 0, -1, 1, 1, 1, -1, 1] -> (32256000*li4half^2 + 830592000*li8half + 
    104832000*li7half*ln2 + 24192000*li6half*ln2^2 + 6720000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 19400*ln2^8 - 26640000*ln2^2*s6 + 
    13536000*ln2*s7a + 49824000*ln2*s7b + 130720275*s8a + 1113336000*s8b + 
    46368000*s8c + 120960000*s8d - 24192000*li6half*z2 - 
    20160000*li5half*ln2*z2 - 10080000*li4half*ln2^2*z2 + 218400*ln2^6*z2 - 
    335664000*s6*z2 - 1411200*li4half*z2^2 - 6123600*ln2^4*z2^2 - 
    10785600*ln2^2*z2^3 - 56888496*z2^4 - 231840000*li5half*z3 + 
    45360000*li4half*ln2*z3 + 3998400*ln2^5*z3 - 21840000*ln2^3*z2*z3 - 
    152483400*ln2*z2^2*z3 + 11250000*ln2^2*z3^2 - 72387000*z2*z3^2 - 
    51429000*ln2^3*z5 - 237771000*ln2*z2*z5 + 17616375*z3*z5 + 
    75049875*ln2*z7)/8064000, H[-1, 1, 0, -1, 1, 1, 0, 1, 1] -> 
  (-141120000*li4half^2 - 4515840000*li8half - 1806336000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 11760000*li4half*ln2^4 - 312200*ln2^8 + 
    914592000*ln2^2*s6 - 515424000*ln2*s7a + 510048000*ln2*s7b - 
    1732448550*s8a - 10834992000*s8b - 1108800000*s8c - 1092672000*s8d - 
    338688000*li6half*z2 - 131712000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 2116800*ln2^6*z2 + 3149664000*s6*z2 - 
    98582400*li4half*z2^2 - 8027600*ln2^4*z2^2 - 183377600*ln2^2*z2^3 + 
    381758312*z2^4 + 2267664000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    27129200*ln2^5*z3 + 189560000*ln2^3*z2*z3 + 1385672400*ln2*z2^2*z3 - 
    479167500*ln2^2*z3^2 + 1339264500*z2*z3^2 - 993426000*ln2^3*z5 + 
    1926036000*ln2*z2*z5 - 2058467250*z3*z5 + 4060678125*ln2*z7)/18816000, 
 H[-1, 1, 0, -1, 1, 1, 0, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    198576000*ln2^2*s6 + 110880000*ln2*s7a - 86688000*ln2*s7b + 
    354499425*s8a + 1961064000*s8b + 245952000*s8c + 262080000*s8d - 
    338688000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 - 975744000*s6*z2 - 
    13910400*li4half*z2^2 - 10575600*ln2^4*z2^2 + 134954400*ln2^2*z2^3 + 
    21208248*z2^4 - 559440000*li5half*z3 + 141120000*li4half*ln2*z3 + 
    10542000*ln2^5*z3 - 60732000*ln2^3*z2*z3 - 336772800*ln2*z2^2*z3 + 
    117684000*ln2^2*z3^2 - 232202250*z2*z3^2 + 191394000*ln2^3*z5 - 
    455206500*ln2*z2*z5 + 881992125*z3*z5 - 299407500*ln2*z7)/28224000, 
 H[-1, 1, 0, -1, 1, 1, 0, -1, 1] -> 
  (18063360000*li8half + 5419008000*li7half*ln2 + 677376000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 - 313600*ln2^8 - 3731616000*ln2^2*s6 + 
    1054368000*ln2*s7a - 1796256000*ln2*s7b + 7953822450*s8a + 
    46431504000*s8b + 5947200000*s8c + 3818304000*s8d - 
    1524096000*li6half*z2 - 423360000*li5half*ln2*z2 + 3606400*ln2^6*z2 - 
    13253184000*s6*z2 + 763660800*li4half*z2^2 - 19689600*ln2^4*z2^2 + 
    907620000*ln2^2*z2^3 - 789144288*z2^4 - 7424928000*li5half*z3 + 
    61874400*ln2^5*z3 - 657552000*ln2^3*z2*z3 - 5479488000*ln2*z2^2*z3 + 
    338530500*ln2^2*z3^2 - 5976558000*z2*z3^2 + 2738757000*ln2^3*z5 - 
    12212739000*ln2*z2*z5 + 6948222750*z3*z5 - 13816081125*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, 1, 1, -1, 1, 1] -> (-5376000*li4half^2 - 131712000*li8half - 
    2688000*li7half*ln2 + 5376000*li6half*ln2^2 - 448000*li4half*ln2^4 - 
    4600*ln2^8 + 15888000*ln2^2*s6 - 1440000*ln2*s7a - 5472000*ln2*s7b - 
    40311600*s8a - 266112000*s8b - 22848000*s8c - 28896000*s8d - 
    5376000*li6half*z2 + 2016000*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 
    80640000*s6*z2 - 1344000*li4half*z2^2 + 971600*ln2^4*z2^2 - 
    2243200*ln2^2*z2^3 + 11613184*z2^4 + 57792000*li5half*z3 - 
    8736000*li4half*ln2*z3 - 826000*ln2^5*z3 + 5040000*ln2^3*z2*z3 + 
    38650800*ln2*z2^2*z3 - 1338000*ln2^2*z3^2 + 30324000*z2*z3^2 + 
    3906000*ln2^3*z5 + 84744000*ln2*z2*z5 - 47964000*z3*z5 - 28582125*ln2*z7)/
   896000, H[-1, 1, 0, -1, 1, 1, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    7632000*ln2^2*s6 + 1440000*ln2*s7a + 8496000*ln2*s7b - 13488300*s8a - 
    46368000*s8b - 18144000*s8c + 6048000*s8d + 6048000*li6half*z2 - 
    1008000*li5half*ln2*z2 - 3024000*li4half*ln2^2*z2 - 109200*ln2^6*z2 - 
    3528000*s6*z2 - 5443200*li4half*z2^2 - 940800*ln2^4*z2^2 - 
    433800*ln2^2*z2^3 - 5490468*z2^4 - 10080000*li5half*z3 + 
    13104000*li4half*ln2*z3 + 630000*ln2^5*z3 - 1218000*ln2^3*z2*z3 + 
    978300*ln2*z2^2*z3 + 7320375*ln2^2*z3^2 + 11891250*z2*z3^2 - 
    6835500*ln2^3*z5 + 29774250*ln2*z2*z5 + 9387000*z3*z5 + 48747375*ln2*z7)/
   2016000, H[-1, 1, 0, -1, 1, 1, -1, -1, 1] -> 
  (259660800*li8half - 2822400*li7half*ln2 - 19756800*li6half*ln2^2 - 
    1411200*li5half*ln2^3 - 8680*ln2^8 - 37699200*ln2^2*s6 - 
    4435200*ln2*s7a + 6854400*ln2*s7b + 87481800*s8a + 544521600*s8b + 
    61689600*s8c + 46972800*s8d + 11289600*li6half*z2 + 
    4233600*li5half*ln2*z2 + 258720*ln2^6*z2 - 140515200*s6*z2 + 
    9394560*li4half*z2^2 - 1396080*ln2^4*z2^2 + 4699800*ln2^2*z2^3 - 
    17432532*z2^4 - 96062400*li5half*z3 + 738780*ln2^5*z3 - 
    7123200*ln2^3*z2*z3 - 70585200*ln2*z2^2*z3 - 11760525*ln2^2*z3^2 - 
    69904800*z2*z3^2 - 8202600*ln2^3*z5 - 213759000*ln2*z2*z5 + 
    71549100*z3*z5 + 41975325*ln2*z7)/2822400, 
 H[-1, 1, 0, -1, 1, 0, 1, 1, 1] -> 
  (211680000*li4half^2 + 4515840000*li8half + 2709504000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    17640000*li4half*ln2^4 + 255500*ln2^8 - 616896000*ln2^2*s6 + 
    678384000*ln2*s7a - 528192000*ln2*s7b + 1169349300*s8a + 8257536000*s8b + 
    582624000*s8c + 955584000*s8d - 677376000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 98784000*li4half*ln2^2*z2 - 2861600*ln2^6*z2 - 
    3033072000*s6*z2 + 50702400*li4half*z2^2 + 8874600*ln2^4*z2^2 + 
    160851600*ln2^2*z2^3 - 314105112*z2^4 - 1882944000*li5half*z3 + 
    254016000*li4half*ln2*z3 + 26275200*ln2^5*z3 - 162204000*ln2^3*z2*z3 - 
    966306600*ln2*z2^2*z3 + 653152500*ln2^2*z3^2 - 644899500*z2*z3^2 + 
    1061781000*ln2^3*z5 + 162666000*ln2*z2*z5 + 1223861625*z3*z5 - 
    4925930625*ln2*z7)/28224000, H[-1, 1, 0, -1, 1, 0, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    34272000*ln2^2*s6 - 28224000*ln2*s7a - 84672000*ln2*s7b + 127132425*s8a + 
    609336000*s8b + 124992000*s8c + 44352000*s8d + 169344000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 49392000*li4half*ln2^2*z2 + 1822800*ln2^6*z2 - 
    67536000*s6*z2 + 91425600*li4half*z2^2 - 306600*ln2^4*z2^2 - 
    5256300*ln2^2*z2^3 - 25422072*z2^4 - 18144000*li5half*z3 - 
    134064000*li4half*ln2*z3 - 5434800*ln2^5*z3 + 21420000*ln2^3*z2*z3 + 
    69300*ln2*z2^2*z3 - 57046500*ln2^2*z3^2 - 159342750*z2*z3^2 + 
    54684000*ln2^3*z5 - 218972250*ln2*z2*z5 + 143474625*z3*z5 - 
    424958625*ln2*z7)/7056000, H[-1, 1, 0, -1, 1, 0, 1, -1, 1] -> 
  (-677376000*li4half^2 - 9031680000*li8half - 2709504000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    56448000*li4half*ln2^4 - 548800*ln2^8 + 1412208000*ln2^2*s6 - 
    714672000*ln2*s7a + 266112000*ln2*s7b - 3102901200*s8a - 
    19579392000*s8b - 2128896000*s8c - 1709568000*s8d + 
    677376000*li6half*z2 - 98784000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 3018400*ln2^6*z2 + 5705280000*s6*z2 + 
    188697600*li4half*z2^2 + 52903200*ln2^4*z2^2 - 476733600*ln2^2*z2^3 + 
    354083328*z2^4 + 3560256000*li5half*z3 - 917280000*li4half*ln2*z3 - 
    67888800*ln2^5*z3 + 504840000*ln2^3*z2*z3 + 2760156000*ln2*z2^2*z3 - 
    463428000*ln2^2*z3^2 + 2192904000*z2*z3^2 - 749626500*ln2^3*z5 + 
    5575437000*ln2*z2*z5 - 2446983000*z3*z5 + 4115167875*ln2*z7)/28224000, 
 H[-1, 1, 0, -1, 1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    134064000*ln2^2*s6 + 43008000*ln2*s7a - 51072000*ln2*s7b + 
    228539325*s8a + 983640000*s8b + 238560000*s8c + 15456000*s8d + 
    451584000*li6half*z2 + 150528000*li5half*ln2*z2 - 
    9408000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 + 58464000*s6*z2 - 
    37363200*li4half*z2^2 + 403200*ln2^4*z2^2 + 23646000*ln2^2*z2^3 - 
    3488448*z2^4 - 247296000*li5half*z3 + 37632000*li4half*ln2*z3 + 
    3628800*ln2^5*z3 - 35308000*ln2^3*z2*z3 - 223293000*ln2*z2^2*z3 + 
    6100500*ln2^2*z3^2 - 289243500*z2*z3^2 + 91140000*ln2^3*z5 - 
    723534000*ln2*z2*z5 + 364788375*z3*z5 - 240098250*ln2*z7)/9408000, 
 H[-1, 1, 0, -1, 1, 0, 0, 0, 1] -> (45696000*ln2^2*s6 - 12096000*ln2*s7a + 
    25536000*ln2*s7b - 87183600*s8a - 425208000*s8b - 76608000*s8c - 
    36288000*s8d + 129024000*s6*z2 - 8433600*li4half*z2^2 - 
    351400*ln2^4*z2^2 - 17414600*ln2^2*z2^3 - 3820941*z2^4 + 
    100800000*li5half*z3 + 7056000*li4half*ln2*z3 - 546000*ln2^5*z3 + 
    6636000*ln2^3*z2*z3 + 68865300*ln2*z2^2*z3 - 3244500*ln2^2*z3^2 + 
    76088250*z2*z3^2 - 36456000*ln2^3*z5 + 159920250*ln2*z2*z5 - 
    170475375*z3*z5 + 112754250*ln2*z7)/2352000, 
 H[-1, 1, 0, -1, 1, 0, 0, -1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 + 
    40723200*ln2^2*s6 - 1612800*ln2*s7a + 26611200*ln2*s7b - 82816650*s8a - 
    404611200*s8b - 61286400*s8c - 51609600*s8d + 67737600*li6half*z2 + 
    22579200*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 - 446880*ln2^6*z2 + 
    187891200*s6*z2 - 27538560*li4half*z2^2 + 28560*ln2^4*z2^2 - 
    18126360*ln2^2*z2^3 + 3431088*z2^4 + 64411200*li5half*z3 + 
    28224000*li4half*ln2*z3 + 639240*ln2^5*z3 - 100800*ln2^3*z2*z3 + 
    38891160*ln2*z2^2*z3 + 4485600*ln2^2*z3^2 + 56548800*z2*z3^2 - 
    31899000*ln2^3*z5 + 94355100*ln2*z2*z5 - 157860675*z3*z5 + 
    80783325*ln2*z7)/2822400, H[-1, 1, 0, -1, 1, 0, -1, 1, 1] -> 
  (790272000*li4half^2 - 6773760000*li8half - 7225344000*li7half*ln2 - 
    1354752000*li6half*ln2^2 + 47040000*li4half*ln2^4 - 28000*ln2^8 + 
    1224720000*ln2^2*s6 - 1483776000*ln2*s7a + 2354688000*ln2*s7b - 
    1916370225*s8a - 13651848000*s8b - 949536000*s8c - 1675296000*s8d + 
    1354752000*li6half*z2 + 1100736000*li5half*ln2*z2 + 235200*ln2^6*z2 + 
    5396832000*s6*z2 - 893894400*li4half*z2^2 - 129679200*ln2^4*z2^2 - 
    81295200*ln2^2*z2^3 + 610085664*z2^4 + 2158128000*li5half*z3 + 
    790272000*li4half*ln2*z3 + 14943600*ln2^5*z3 - 60060000*ln2^3*z2*z3 + 
    352283400*ln2*z2^2*z3 - 1460119500*ln2^2*z3^2 + 1003432500*z2*z3^2 - 
    3718512000*ln2^3*z5 - 5393493000*ln2*z2*z5 - 1271158875*z3*z5 + 
    18537246000*ln2*z7)/56448000, H[-1, 1, 0, -1, 1, 0, -1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    112896000*ln2^2*s6 - 36288000*ln2*s7a + 20160000*ln2*s7b - 
    157495275*s8a - 644616000*s8b - 181440000*s8c + 12096000*s8d - 
    169344000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    35280000*li4half*ln2^2*z2 + 1705200*ln2^6*z2 - 17136000*s6*z2 + 
    82152000*li4half*z2^2 + 483000*ln2^4*z2^2 - 35857500*ln2^2*z2^3 - 
    35125464*z2^4 + 226296000*li5half*z3 - 91728000*li4half*ln2*z3 - 
    5707800*ln2^5*z3 + 33852000*ln2^3*z2*z3 + 214987500*ln2*z2^2*z3 - 
    25798500*ln2^2*z3^2 + 180290250*z2*z3^2 - 54684000*ln2^3*z5 + 
    543642750*ln2*z2*z5 - 294903000*z3*z5 + 64897875*ln2*z7)/7056000, 
 H[-1, 1, 0, -1, 1, 0, -1, -1, 1] -> 
  (-16128000*li4half^2 + 2257920000*li8half + 1032192000*li7half*ln2 + 
    193536000*li6half*ln2^2 + 21504000*li5half*ln2^3 + 
    1344000*li4half*ln2^4 + 24800*ln2^8 - 354384000*ln2^2*s6 + 
    206208000*ln2*s7a - 277632000*ln2*s7b + 759674475*s8a + 4826808000*s8b + 
    514080000*s8c + 433440000*s8d - 96768000*li6half*z2 - 
    64512000*li5half*ln2*z2 - 16128000*li4half*ln2^2*z2 - 448000*ln2^6*z2 - 
    1397088000*s6*z2 + 101203200*li4half*z2^2 + 5896800*ln2^4*z2^2 + 
    62028000*ln2^2*z2^3 - 135164664*z2^4 - 847728000*li5half*z3 - 
    8064000*li4half*ln2*z3 + 6728400*ln2^5*z3 - 67872000*ln2^3*z2*z3 - 
    516173400*ln2*z2^2*z3 + 159448500*ln2^2*z3^2 - 545958000*z2*z3^2 + 
    438123000*ln2^3*z5 - 619785000*ln2*z2*z5 + 572882625*z3*z5 - 
    2413035000*ln2*z7)/8064000, H[-1, 1, 0, -1, 1, -1, 1, 1, 1] -> 
  (48384000*li4half^2 + 2459520000*li8half + 177408000*li7half*ln2 + 
    8064000*li6half*ln2^2 + 8064000*li5half*ln2^3 + 4032000*li4half*ln2^4 + 
    53800*ln2^8 - 298368000*ln2^2*s6 + 46368000*ln2*s7a + 56448000*ln2*s7b + 
    796223925*s8a + 5178600000*s8b + 485856000*s8c + 540288000*s8d - 
    8064000*li6half*z2 - 24192000*li5half*ln2*z2 - 
    18144000*li4half*ln2^2*z2 + 733600*ln2^6*z2 - 1584576000*s6*z2 + 
    68140800*li4half*z2^2 - 18958800*ln2^4*z2^2 + 45244800*ln2^2*z2^3 - 
    191887632*z2^4 - 1038240000*li5half*z3 + 78624000*li4half*ln2*z3 + 
    11928000*ln2^5*z3 - 88788000*ln2^3*z2*z3 - 698733000*ln2*z2^2*z3 - 
    2551500*ln2^2*z3^2 - 575599500*z2*z3^2 - 25389000*ln2^3*z5 - 
    1576827000*ln2*z2*z5 + 800344125*z3*z5 + 167249250*ln2*z7)/8064000, 
 H[-1, 1, 0, -1, 1, -1, 1, 0, 1] -> 
  (-4515840000*li8half - 903168000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    11200*ln2^8 + 709632000*ln2^2*s6 - 163296000*ln2*s7a + 
    189504000*ln2*s7b - 1637467650*s8a - 10114272000*s8b - 1120896000*s8c - 
    911232000*s8d + 10584000*li5half*ln2*z2 + 460600*ln2^6*z2 + 
    2838528000*s6*z2 - 182246400*li4half*z2^2 + 9811200*ln2^4*z2^2 - 
    115970400*ln2^2*z2^3 + 294659136*z2^4 + 1801296000*li5half*z3 - 
    15010800*ln2^5*z3 + 144816000*ln2^3*z2*z3 + 1229873400*ln2*z2^2*z3 - 
    41422500*ln2^2*z3^2 + 1227870000*z2*z3^2 - 341775000*ln2^3*z5 + 
    2752383375*ln2*z2*z5 - 1393497000*z3*z5 + 1827189000*ln2*z7)/7056000, 
 H[-1, 1, 0, -1, 1, -1, 1, -1, 1] -> 
  (-9031680000*li8half - 733824000*li7half*ln2 - 14112000*li5half*ln2^3 + 
    39200*ln2^8 + 1110816000*ln2^2*s6 - 46368000*ln2*s7a + 10080000*ln2*s7b - 
    3102901200*s8a - 19579392000*s8b - 2128896000*s8c - 1709568000*s8d + 
    42336000*li5half*ln2*z2 - 5370400*ln2^6*z2 + 5338368000*s6*z2 - 
    341913600*li4half*z2^2 + 66544800*ln2^4*z2^2 - 142632000*ln2^2*z2^3 + 
    531813888*z2^4 + 3397968000*li5half*z3 - 28316400*ln2^5*z3 + 
    272580000*ln2^3*z2*z3 + 2429985600*ln2*z2^2*z3 + 241416000*ln2^2*z3^2 + 
    2323440000*z2*z3^2 + 6835500*ln2^3*z5 + 6170755500*ln2*z2*z5 - 
    2253714750*z3*z5 + 1445936625*ln2*z7)/28224000, 
 H[-1, 1, 0, -1, 1, -1, 0, 1, 1] -> 
  (-64512000*li4half^2 + 3870720000*li8half + 1548288000*li7half*ln2 + 
    193536000*li6half*ln2^2 - 5376000*li4half*ln2^4 - 54400*ln2^8 - 
    870480000*ln2^2*s6 + 327168000*ln2*s7a - 576000000*ln2*s7b + 
    1757698425*s8a + 10196424000*s8b + 1336608000*s8c + 804384000*s8d + 
    193536000*li6half*z2 + 88704000*li5half*ln2*z2 + 
    24192000*li4half*ln2^2*z2 + 268800*ln2^6*z2 - 2594592000*s6*z2 + 
    214099200*li4half*z2^2 + 11776800*ln2^4*z2^2 + 169648800*ln2^2*z2^3 - 
    219142752*z2^4 - 1664208000*li5half*z3 - 104832000*li4half*ln2*z3 + 
    9500400*ln2^5*z3 - 132132000*ln2^3*z2*z3 - 1145946600*ln2*z2^2*z3 + 
    167575500*ln2^2*z3^2 - 1416712500*z2*z3^2 + 874944000*ln2^3*z5 - 
    2396070000*ln2*z2*z5 + 1527222375*z3*z5 - 4352112000*ln2*z7)/8064000, 
 H[-1, 1, 0, -1, 1, -1, 0, 0, 1] -> (91728000*ln2^2*s6 - 26880000*ln2*s7a + 
    57792000*ln2*s7b - 174367200*s8a - 850416000*s8b - 153216000*s8c - 
    72576000*s8d + 112896000*li6half*z2 + 18816000*li5half*ln2*z2 + 
    319200000*s6*z2 - 14515200*li4half*z2^2 + 3903200*ln2^4*z2^2 - 
    49410200*ln2^2*z2^3 - 19677612*z2^4 + 146328000*li5half*z3 - 
    1219400*ln2^5*z3 + 14840000*ln2^3*z2*z3 + 122157000*ln2*z2^2*z3 - 
    8526000*ln2^2*z3^2 + 128730000*z2*z3^2 - 82026000*ln2^3*z5 + 
    280182000*ln2*z2*z5 - 287975625*z3*z5 + 252139125*ln2*z7)/4704000, 
 H[-1, 1, 0, -1, 1, -1, 0, -1, 1] -> 
  (-112896000*li4half^2 - 9031680000*li8half - 2709504000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 39200*ln2^8 + 1936368000*ln2^2*s6 - 
    685440000*ln2*s7a + 782208000*ln2*s7b - 3943283400*s8a - 
    23470272000*s8b - 2798208000*s8c - 2169216000*s8d + 
    677376000*li6half*z2 + 190512000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 19600*ln2^6*z2 + 7153776000*s6*z2 - 
    340704000*li4half*z2^2 + 8030400*ln2^4*z2^2 - 501622800*ln2^2*z2^3 + 
    522879216*z2^4 + 4243176000*li5half*z3 - 183456000*li4half*ln2*z3 - 
    43003800*ln2^5*z3 + 396816000*ln2^3*z2*z3 + 2956627800*ln2*z2^2*z3 - 
    408618000*ln2^2*z3^2 + 2910978000*z2*z3^2 - 1403556000*ln2^3*z5 + 
    5903178750*ln2*z2*z5 - 4160370375*z3*z5 + 5874687000*ln2*z7)/14112000, 
 H[-1, 1, 0, -1, 1, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2257920000*li8half - 112896000*li7half*ln2 + 
    56448000*li6half*ln2^2 - 4704000*li4half*ln2^4 - 102200*ln2^8 + 
    250656000*ln2^2*s6 - 52416000*ln2*s7a - 80640000*ln2*s7b - 
    638790075*s8a - 4550616000*s8b - 316512000*s8c - 558432000*s8d - 
    56448000*li6half*z2 - 1332800*ln2^6*z2 + 1514352000*s6*z2 - 
    86284800*li4half*z2^2 + 16808400*ln2^4*z2^2 - 24326400*ln2^2*z2^3 + 
    224930568*z2^4 + 1116864000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    10483200*ln2^5*z3 + 63084000*ln2^3*z2*z3 + 624695400*ln2*z2^2*z3 - 
    48352500*ln2^2*z3^2 + 448843500*z2*z3^2 + 27342000*ln2^3*z5 + 
    1187298000*ln2*z2*z5 - 858949875*z3*z5 - 361242000*ln2*z7)/18816000, 
 H[-1, 1, 0, -1, 1, -1, -1, 0, 1] -> 
  (-112896000*li4half^2 + 27095040000*li8half + 5419008000*li7half*ln2 + 
    338688000*li6half*ln2^2 - 9408000*li4half*ln2^4 - 128800*ln2^8 - 
    4206384000*ln2^2*s6 + 1026144000*ln2*s7a - 963648000*ln2*s7b + 
    9672690825*s8a + 60316200000*s8b + 6473376000*s8c + 5634720000*s8d - 
    141120000*li5half*ln2*z2 - 2116800*ln2^6*z2 - 17252928000*s6*z2 + 
    1203148800*li4half*z2^2 - 59001600*ln2^4*z2^2 + 712756800*ln2^2*z2^3 - 
    1906249248*z2^4 - 10987200000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    90972000*ln2^5*z3 - 906780000*ln2^3*z2*z3 - 7339235400*ln2*z2^2*z3 + 
    297391500*ln2^2*z3^2 - 7267081500*z2*z3^2 + 1927611000*ln2^3*z5 - 
    16309377000*ln2*z2*z5 + 8817818625*z3*z5 - 9878667750*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, 1, -1, -1, -1, 1] -> 
  (-197568000*li4half^2 + 7620480000*li8half + 564480000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 
    50400*ln2^8 - 605808000*ln2^2*s6 - 82656000*ln2*s7a - 54432000*ln2*s7b + 
    2082852450*s8a + 14052528000*s8b + 1362816000*s8c + 1163232000*s8d + 
    282240000*li6half*z2 + 28224000*li5half*ln2*z2 + 4076800*ln2^6*z2 - 
    3511872000*s6*z2 + 401990400*li4half*z2^2 - 32995200*ln2^4*z2^2 - 
    74138400*ln2^2*z2^3 - 480508488*z2^4 - 2340576000*li5half*z3 - 
    246960000*li4half*ln2*z3 + 9214800*ln2^5*z3 - 133308000*ln2^3*z2*z3 - 
    1517896800*ln2*z2^2*z3 - 224406000*ln2^2*z3^2 - 1536759000*z2*z3^2 - 
    95697000*ln2^3*z5 - 3724371000*ln2*z2*z5 + 720546750*z3*z5 - 
    1942030125*ln2*z7)/56448000, H[-1, 1, 0, -1, 0, 1, 1, 1, 1] -> 
  (-28224000*li4half^2 - 1128960000*li8half - 903168000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    11760000*li4half*ln2^4 - 133000*ln2^8 + 39312000*ln2^2*s6 - 
    163296000*ln2*s7a + 147168000*ln2*s7b - 226543275*s8a - 1883448000*s8b - 
    6048000*s8c - 360864000*s8d + 338688000*li6half*z2 + 
    225792000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 - 78400*ln2^6*z2 + 
    1032192000*s6*z2 - 42537600*li4half*z2^2 + 4695600*ln2^4*z2^2 - 
    23973600*ln2^2*z2^3 + 137525376*z2^4 + 326592000*li5half*z3 - 
    197568000*li4half*ln2*z3 - 10953600*ln2^5*z3 + 39564000*ln2^3*z2*z3 + 
    92975400*ln2*z2^2*z3 - 232375500*ln2^2*z3^2 + 124708500*z2*z3^2 - 
    236964000*ln2^3*z5 - 615258000*ln2*z2*z5 - 404058375*z3*z5 + 
    1520528625*ln2*z7)/56448000, H[-1, 1, 0, -1, 0, 1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    14112000*ln2^2*s6 - 10080000*ln2*s7a - 10080000*ln2*s7b - 19203975*s8a - 
    39312000*s8b - 8064000*s8c + 8064000*s8d - 84672000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 352800*ln2^6*z2 - 47880000*s6*z2 + 
    27014400*li4half*z2^2 - 50400*ln2^4*z2^2 - 9849000*ln2^2*z2^3 + 
    4356084*z2^4 + 96768000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    512400*ln2^5*z3 + 6300000*ln2^3*z2*z3 + 61651800*ln2*z2^2*z3 - 
    6394500*ln2^2*z3^2 + 15419250*z2*z3^2 + 92610000*ln2*z2*z5 - 
    100996875*z3*z5 - 40690125*ln2*z7)/14112000, 
 H[-1, 1, 0, -1, 0, 1, 1, -1, 1] -> 
  (112896000*li4half^2 + 3386880000*li8half + 903168000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 112896000*li5half*ln2^3 + 
    18816000*li4half*ln2^4 + 22400*ln2^8 - 512064000*ln2^2*s6 + 
    10080000*ln2*s7a - 300384000*ln2*s7b + 1505173950*s8a + 7635600000*s8b + 
    1399104000*s8c + 209664000*s8d - 338688000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 254016000*li4half*ln2^2*z2 - 
    6820800*ln2^6*z2 - 1421280000*s6*z2 - 70963200*li4half*z2^2 + 
    8332800*ln2^4*z2^2 + 141960000*ln2^2*z2^3 + 56667552*z2^4 - 
    249984000*li5half*z3 + 366912000*li4half*ln2*z3 + 17371200*ln2^5*z3 - 
    276612000*ln2^3*z2*z3 - 859168800*ln2*z2^2*z3 - 249417000*ln2^2*z3^2 - 
    1233225000*z2*z3^2 + 218736000*ln2^3*z5 - 3059154000*ln2*z2*z5 + 
    169359750*z3*z5 - 2335417875*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, 0, 1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    9576000*ln2^2*s6 + 28224000*ln2*s7a + 28224000*ln2*s7b - 18260550*s8a + 
    1008000*s8b - 75600000*s8c + 75600000*s8d - 84672000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 529200*ln2^6*z2 - 
    182952000*s6*z2 - 39916800*li4half*z2^2 - 2839200*ln2^4*z2^2 + 
    11762100*ln2^2*z2^3 - 24374178*z2^4 - 115920000*li5half*z3 + 
    91728000*li4half*ln2*z3 + 4788000*ln2^5*z3 - 14070000*ln2^3*z2*z3 - 
    51754500*ln2*z2^2*z3 + 72150750*ln2^2*z3^2 + 41265000*z2*z3^2 + 
    198135000*ln2*z2*z5 + 209325375*z3*z5 + 183015000*ln2*z7)/7056000, 
 H[-1, 1, 0, -1, 0, 1, 0, 0, 1] -> (-12096000*ln2*s7a - 12096000*ln2*s7b + 
    4849950*s8a + 7392000*s8b + 24192000*s8c - 24192000*s8d + 
    48384000*s6*z2 - 18480000*li4half*z2^2 - 770000*ln2^4*z2^2 + 
    445200*ln2^2*z2^3 + 21659742*z2^4 + 20160000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 756000*ln2^5*z3 + 5208000*ln2^3*z2*z3 - 
    16052400*ln2*z2^2*z3 - 15876000*ln2^2*z3^2 - 6678000*z2*z3^2 - 
    41748000*ln2*z2*z5 - 53502750*z3*z5 - 74872875*ln2*z7)/4704000, 
 H[-1, 1, 0, -1, 0, 1, 0, -1, 1] -> 
  (1344000*ln2*s7a + 1344000*ln2*s7b - 1356600*s8a - 2688000*s8c + 
    2688000*s8d - 2016000*li6half*z2 - 1344000*li5half*ln2*z2 - 
    336000*li4half*ln2^2*z2 - 5600*ln2^6*z2 - 6132000*s6*z2 + 
    369600*li4half*z2^2 + 29400*ln2^4*z2^2 + 209100*ln2^2*z2^3 - 
    984036*z2^4 - 4704000*li5half*z3 + 336000*li4half*ln2*z3 + 
    53200*ln2^5*z3 - 476000*ln2^3*z2*z3 - 1115100*ln2*z2^2*z3 + 
    2058000*ln2^2*z3^2 + 2176125*z2*z3^2 + 5407500*ln2*z2*z5 + 
    4499250*z3*z5 + 10038000*ln2*z7)/336000, 
 H[-1, 1, 0, -1, 0, 1, -1, 1, 1] -> 
  (2688000*li4half^2 + 10752000*li7half*ln2 + 2016000*li6half*ln2^2 + 
    336000*li4half*ln2^4 + 10000*ln2^8 + 3276000*ln2^2*s6 + 2688000*ln2*s7a - 
    8992200*s8a - 30912000*s8b - 12096000*s8c + 4032000*s8d - 
    2016000*li6half*z2 + 672000*li4half*ln2^2*z2 - 3948000*s6*z2 - 
    940800*li4half*z2^2 - 47600*ln2^4*z2^2 - 504400*ln2^2*z2^3 - 
    3235952*z2^4 - 8064000*li5half*z3 + 1008000*li4half*ln2*z3 + 
    109200*ln2^5*z3 + 1533000*ln2^3*z2*z3 + 3830400*ln2*z2^2*z3 + 
    6082125*ln2^2*z3^2 + 8743875*z2*z3^2 + 2604000*ln2^3*z5 + 
    36372000*ln2*z2*z5 + 6951000*z3*z5 - 7932750*ln2*z7)/336000, 
 H[-1, 1, 0, -1, 0, 1, -1, 0, 1] -> (-9792000*ln2^2*s6 - 960000*ln2*s7a - 
    6336000*ln2*s7b + 17984400*s8a + 61824000*s8b + 24192000*s8c - 
    8064000*s8d + 4032000*li6half*z2 + 2688000*li5half*ln2*z2 + 
    2016000*li4half*ln2^2*z2 + 67200*ln2^6*z2 + 8232000*s6*z2 - 
    3292800*li4half*z2^2 - 501200*ln2^4*z2^2 + 1970200*ln2^2*z2^3 + 
    7621784*z2^4 + 10752000*li5half*z3 + 3360000*li4half*ln2*z3 + 
    50400*ln2^5*z3 + 56000*ln2^3*z2*z3 - 10988400*ln2*z2^2*z3 - 
    4539000*ln2^2*z3^2 - 18044250*z2*z3^2 + 5208000*ln2^3*z5 - 
    57271500*ln2*z2*z5 - 6951000*z3*z5 - 34957875*ln2*z7)/672000, 
 H[-1, 1, 0, -1, 0, 1, -1, -1, 1] -> 
  (225792000*li4half^2 - 2257920000*li8half - 1806336000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 246400*ln2^8 - 
    210672000*ln2^2*s6 - 185472000*ln2*s7a + 266112000*ln2*s7b + 
    425639025*s8a + 110376000*s8b + 622944000*s8c - 256032000*s8d + 
    112896000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 1803200*ln2^6*z2 + 
    286272000*s6*z2 - 265708800*li4half*z2^2 - 18597600*ln2^4*z2^2 + 
    207412800*ln2^2*z2^3 + 318972504*z2^4 + 455616000*li5half*z3 + 
    395136000*li4half*ln2*z3 + 12667200*ln2^5*z3 - 198408000*ln2^3*z2*z3 - 
    417425400*ln2*z2^2*z3 - 311944500*ln2^2*z3^2 - 473823000*z2*z3^2 - 
    378231000*ln2^3*z5 - 2842371000*ln2*z2*z5 + 748117125*z3*z5 + 
    3285261000*ln2*z7)/56448000, H[-1, 1, 0, -1, 0, 0, 1, 1, 1] -> 
  (-197568000*li4half^2 - 16464000*li4half*ln2^4 - 343000*ln2^8 + 
    142128000*ln2^2*s6 - 201600000*ln2*s7a + 10080000*ln2*s7b - 
    169783425*s8a - 1189440000*s8b - 22176000*s8c - 260064000*s8d + 
    56448000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 + 731808000*s6*z2 + 
    70761600*li4half*z2^2 + 1184400*ln2^4*z2^2 - 66964800*ln2^2*z2^3 + 
    61417452*z2^4 + 745920000*li5half*z3 - 183456000*li4half*ln2*z3 - 
    13860000*ln2^5*z3 + 70980000*ln2^3*z2*z3 + 332627400*ln2*z2^2*z3 - 
    231241500*ln2^2*z3^2 + 67126500*z2*z3^2 - 182280000*ln2^3*z5 - 
    38052000*ln2*z2*z5 - 883771875*z3*z5 - 125291250*ln2*z7)/28224000, 
 H[-1, 1, 0, -1, 0, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    28224000*ln2^2*s6 + 36288000*ln2*s7a + 36288000*ln2*s7b - 978075*s8a + 
    30744000*s8b - 16128000*s8c + 16128000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 49896000*s6*z2 + 1108800*li4half*z2^2 + 
    3574200*ln2^4*z2^2 + 10294200*ln2^2*z2^3 - 13710477*z2^4 - 
    145152000*li5half*z3 + 42336000*li4half*ln2*z3 + 2973600*ln2^5*z3 - 
    22680000*ln2^3*z2*z3 - 40219200*ln2*z2^2*z3 + 37705500*ln2^2*z3^2 + 
    17277750*z2*z3^2 - 22821750*ln2*z2*z5 + 113045625*z3*z5 + 
    181014750*ln2*z7)/7056000, H[-1, 1, 0, -1, 0, 0, 1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    111888000*ln2^2*s6 + 80640000*ln2*s7a - 25200000*ln2*s7b + 
    159147450*s8a + 1230768000*s8b + 48384000*s8c + 233856000*s8d + 
    169344000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 - 235200*ln2^6*z2 - 
    601776000*s6*z2 - 5443200*li4half*z2^2 - 226800*ln2^4*z2^2 + 
    91316400*ln2^2*z2^3 - 28807368*z2^4 - 580608000*li5half*z3 - 
    7056000*li4half*ln2*z3 + 4544400*ln2^5*z3 - 22806000*ln2^3*z2*z3 - 
    204510600*ln2*z2^2*z3 + 88704000*ln2^2*z3^2 - 96264000*z2*z3^2 + 
    79747500*ln2^3*z5 - 218421000*ln2*z2*z5 + 615021750*z3*z5 - 
    322032375*ln2*z7)/14112000, H[-1, 1, 0, -1, 0, 0, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    46368000*ln2^2*s6 + 36288000*ln2*s7a - 76608000*ln2*s7b + 134991675*s8a + 
    715680000*s8b + 76608000*s8c + 92736000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 312480000*s6*z2 + 29836800*li4half*z2^2 - 
    2284800*ln2^4*z2^2 + 9080400*ln2^2*z2^3 - 13203612*z2^4 - 
    72576000*li5half*z3 - 42336000*li4half*ln2*z3 - 1159200*ln2^5*z3 + 
    4536000*ln2^3*z2*z3 - 52491600*ln2*z2^2*z3 + 20034000*ln2^2*z3^2 - 
    78183000*z2*z3^2 + 109368000*ln2^3*z5 + 8001000*ln2*z2*z5 + 
    157925250*z3*z5 - 381094875*ln2*z7)/14112000, 
 H[-1, 1, 0, -1, 0, 0, 0, 0, 1] -> 
  (-344925*s8a - 1512000*s8b + 672000*s6*z2 - 470400*li4half*z2^2 - 
    19600*ln2^4*z2^2 - 68400*ln2^2*z2^3 + 269852*z2^4 - 176400*ln2*z2^2*z3 - 
    346500*z2*z3^2 - 630000*ln2*z2*z5 + 1118250*z3*z5 + 1362375*ln2*z7)/
   336000, H[-1, 1, 0, -1, 0, 0, 0, -1, 1] -> 
  (28224000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 60013800*s8a - 
    319536000*s8b - 51072000*s8c - 24192000*s8d + 93072000*s6*z2 - 
    13776000*li4half*z2^2 - 574000*ln2^4*z2^2 - 8386000*ln2^2*z2^3 - 
    4095498*z2^4 + 76608000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    50400*ln2^5*z3 + 2856000*ln2^3*z2*z3 + 37632000*ln2*z2^2*z3 - 
    3087000*ln2^2*z3^2 + 46462500*z2*z3^2 - 30380000*ln2^3*z5 + 
    60343500*ln2*z2*z5 - 88966500*z3*z5 + 192373125*ln2*z7)/4704000, 
 H[-1, 1, 0, -1, 0, 0, -1, 1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 - 
    2620800*ln2^2*s6 + 1075200*ln2*s7a - 17740800*ln2*s7b + 19688025*s8a + 
    60345600*s8b + 23788800*s8c - 9676800*s8d - 22579200*li5half*ln2*z2 + 
    188160*ln2^6*z2 + 1948800*s6*z2 + 8977920*li4half*z2^2 - 
    96320*ln2^4*z2^2 - 8056720*ln2^2*z2^3 + 5393788*z2^4 + 
    43814400*li5half*z3 - 7526400*li4half*ln2*z3 - 678720*ln2^5*z3 + 
    2357600*ln2^3*z2*z3 + 6373080*ln2*z2^2*z3 - 6940500*ln2^2*z3^2 - 
    13828500*z2*z3^2 + 18228000*ln2^3*z5 + 10529400*ln2*z2*z5 - 
    41521725*z3*z5 - 95853450*ln2*z7)/1881600, 
 H[-1, 1, 0, -1, 0, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 4032000*ln2*s7a + 4032000*ln2*s7b - 893025*s8a - 
    4536000*s8b - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    2520000*s6*z2 - 1310400*li4half*z2^2 + 449400*ln2^4*z2^2 + 
    1297800*ln2^2*z2^3 - 597579*z2^4 - 12096000*li5half*z3 + 
    8064000*li4half*ln2*z3 + 436800*ln2^5*z3 - 3024000*ln2^3*z2*z3 - 
    5090400*ln2*z2^2*z3 + 4473000*ln2^2*z3^2 - 992250*z2*z3^2 - 
    11040750*ln2*z2*z5 + 13820625*z3*z5 + 25578000*ln2*z7)/1008000, 
 H[-1, 1, 0, -1, 0, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    67536000*ln2^2*s6 - 44352000*ln2*s7a + 96768000*ln2*s7b - 172545975*s8a - 
    931644000*s8b - 116928000*s8c - 115920000*s8d - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 358848000*s6*z2 - 
    48585600*li4half*z2^2 - 260400*ln2^4*z2^2 - 16900800*ln2^2*z2^3 + 
    15691164*z2^4 + 245952000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    302400*ln2^5*z3 + 6384000*ln2^3*z2*z3 + 106293600*ln2*z2^2*z3 - 
    40981500*ln2^2*z3^2 + 128929500*z2*z3^2 - 129874500*ln2^3*z5 + 
    41611500*ln2*z2*z5 - 366171750*z3*z5 + 527743125*ln2*z7)/14112000, 
 H[-1, 1, 0, -1, 0, -1, 1, 1, 1] -> 
  (-677376000*li4half^2 + 1354752000*li8half + 677376000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 112896000*li5half*ln2^3 - 
    56448000*li4half*ln2^4 - 1590400*ln2^8 - 321552000*ln2^2*s6 - 
    233856000*ln2*s7a - 487872000*ln2*s7b + 1236118275*s8a + 4778424000*s8b + 
    1477728000*s8c - 376992000*s8d - 451584000*li6half*z2 - 
    338688000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 5252800*ln2^6*z2 + 
    20160000*s6*z2 + 342316800*li4half*z2^2 + 6736800*ln2^4*z2^2 + 
    17472000*ln2^2*z2^3 + 311396784*z2^4 + 1346688000*li5half*z3 - 
    423360000*li4half*ln2*z3 - 27216000*ln2^5*z3 - 47124000*ln2^3*z2*z3 - 
    188231400*ln2*z2^2*z3 - 594058500*ln2^2*z3^2 - 1127920500*z2*z3^2 + 
    164052000*ln2^3*z5 - 2746044000*ln2*z2*z5 - 1090679625*z3*z5 - 
    3501303750*ln2*z7)/56448000, H[-1, 1, 0, -1, 0, -1, 1, 0, 1] -> 
  (29376000*ln2^2*s6 - 5184000*ln2*s7a + 10944000*ln2*s7b - 47999700*s8a - 
    175392000*s8b - 56448000*s8c + 8064000*s8d + 16128000*li6half*z2 + 
    8064000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 128800*ln2^6*z2 + 
    16128000*s6*z2 + 12297600*li4half*z2^2 + 1352400*ln2^4*z2^2 - 
    8910600*ln2^2*z2^3 - 17276952*z2^4 - 32256000*li5half*z3 - 
    26208000*li4half*ln2*z3 - 823200*ln2^5*z3 + 4452000*ln2^3*z2*z3 + 
    36115200*ln2*z2^2*z3 + 702000*ln2^2*z3^2 + 44698500*z2*z3^2 - 
    15624000*ln2^3*z5 + 136030500*ln2*z2*z5 - 8221500*z3*z5 + 
    37290375*ln2*z7)/2016000, H[-1, 1, 0, -1, 0, -1, 1, -1, 1] -> 
  (-32256000*li4half^2 - 258048000*li8half - 48384000*li7half*ln2 - 
    32256000*li6half*ln2^2 - 10752000*li5half*ln2^3 - 2688000*li4half*ln2^4 - 
    8000*ln2^8 + 75168000*ln2^2*s6 - 36864000*ln2*s7a - 18720000*ln2*s7b - 
    136407600*s8a - 709632000*s8b - 112896000*s8c - 48384000*s8d + 
    32256000*li6half*z2 + 32256000*li5half*ln2*z2 + 
    36288000*li4half*ln2^2*z2 + 1041600*ln2^6*z2 + 195552000*s6*z2 + 
    22579200*li4half*z2^2 - 672000*ln2^4*z2^2 - 27816000*ln2^2*z2^3 + 
    3249024*z2^4 + 80640000*li5half*z3 - 94752000*li4half*ln2*z3 - 
    4737600*ln2^5*z3 + 50484000*ln2^3*z2*z3 + 141512400*ln2*z2^2*z3 - 
    24030000*ln2^2*z3^2 + 106470000*z2*z3^2 - 12369000*ln2^3*z5 + 
    377487000*ln2*z2*z5 - 122850000*z3*z5 - 188778375*ln2*z7)/4032000, 
 H[-1, 1, 0, -1, 0, -1, 0, 1, 1] -> 
  (12096000*li4half^2 + 1008000*li4half*ln2^4 + 21000*ln2^8 - 
    7056000*ln2^2*s6 + 12096000*ln2*s7a + 4032000*ln2*s7b + 3734325*s8a + 
    52416000*s8b - 6048000*s8c + 18144000*s8d + 16128000*li6half*z2 + 
    8064000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 86800*ln2^6*z2 - 
    36288000*s6*z2 - 7156800*li4half*z2^2 - 466200*ln2^4*z2^2 + 
    3735900*ln2^2*z2^3 - 6290208*z2^4 - 41328000*li5half*z3 + 
    15120000*li4half*ln2*z3 + 974400*ln2^5*z3 - 3990000*ln2^3*z2*z3 - 
    19637100*ln2*z2^2*z3 + 16096500*ln2^2*z3^2 - 1449000*z2*z3^2 + 
    7812000*ln2^3*z5 - 1197000*ln2*z2*z5 + 47328750*z3*z5 + 34240500*ln2*z7)/
   1008000, H[-1, 1, 0, -1, 0, -1, 0, 0, 1] -> 
  (-6720000*ln2*s7a - 6720000*ln2*s7b - 2350950*s8a - 26208000*s8b + 
    13440000*s8c - 13440000*s8d + 36288000*s6*z2 - 31382400*li4half*z2^2 - 
    1307600*ln2^4*z2^2 + 3628800*ln2^2*z2^3 + 17029398*z2^4 + 
    55104000*li5half*z3 + 14112000*li4half*ln2*z3 + 128800*ln2^5*z3 + 
    1064000*ln2^3*z2*z3 - 15052800*ln2*z2^2*z3 - 3675000*ln2^2*z3^2 - 
    7581000*z2*z3^2 - 34104000*ln2*z2*z5 - 46898250*z3*z5 - 5058375*ln2*z7)/
   4704000, H[-1, 1, 0, -1, 0, -1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    1008000*ln2^2*s6 + 6048000*ln2*s7a + 10080000*ln2*s7b - 10325700*s8a - 
    36288000*s8b - 12096000*s8c + 4032000*s8d + 4032000*li6half*z2 + 
    2016000*li5half*ln2*z2 - 3528000*li4half*ln2^2*z2 - 158200*ln2^6*z2 - 
    1008000*s6*z2 - 5796000*li4half*z2^2 + 220500*ln2^4*z2^2 + 
    1525950*ln2^2*z2^3 - 3320982*z2^4 - 9072000*li5half*z3 + 
    13608000*li4half*ln2*z3 + 642600*ln2^5*z3 - 4011000*ln2^3*z2*z3 - 
    5295150*ln2*z2^2*z3 + 9528750*ln2^2*z3^2 + 8953875*z2*z3^2 - 
    3255000*ln2^3*z5 + 2661750*ln2*z2*z5 + 7268625*z3*z5 + 75269250*ln2*z7)/
   504000, H[-1, 1, 0, -1, 0, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 225792000*li8half - 1580544000*li7half*ln2 - 
    451584000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    11760000*li4half*ln2^4 - 446600*ln2^8 - 105840000*ln2^2*s6 + 
    66528000*ln2*s7a + 334656000*ln2*s7b + 321509475*s8a + 2258424000*s8b + 
    50400000*s8c + 443520000*s8d + 451584000*li6half*z2 + 2822400*ln2^6*z2 - 
    1119888000*s6*z2 + 11088000*li4half*z2^2 - 31172400*ln2^4*z2^2 - 
    44940000*ln2^2*z2^3 - 133805544*z2^4 - 858816000*li5half*z3 + 
    169344000*li4half*ln2*z3 + 12566400*ln2^5*z3 - 113316000*ln2^3*z2*z3 - 
    609021000*ln2*z2^2*z3 + 100327500*ln2^2*z3^2 - 180022500*z2*z3^2 - 
    200508000*ln2^3*z5 - 1142631000*ln2*z2*z5 + 1105264125*z3*z5 + 
    3414285000*ln2*z7)/56448000, H[-1, 1, 0, -1, 0, -1, -1, 0, 1] -> 
  (-28224000*ln2^2*s6 - 36288000*ln2*s7a - 36288000*ln2*s7b + 7350525*s8a - 
    178920000*s8b + 129024000*s8c - 129024000*s8d - 225792000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 548800*ln2^6*z2 + 
    201600000*s6*z2 - 22982400*li4half*z2^2 + 1394400*ln2^4*z2^2 - 
    3973200*ln2^2*z2^3 + 98943324*z2^4 + 385056000*li5half*z3 + 
    112896000*li4half*ln2*z3 + 1495200*ln2^5*z3 - 4368000*ln2^3*z2*z3 + 
    33339600*ln2*z2^2*z3 - 28665000*ln2^2*z3^2 - 35469000*z2*z3^2 - 
    175518000*ln2*z2*z5 - 422462250*z3*z5 - 111888000*ln2*z7)/28224000, 
 H[-1, 1, 0, -1, 0, -1, -1, -1, 1] -> 
  (225792000*li4half^2 + 1241856000*li8half + 790272000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    23520000*li4half*ln2^4 + 462000*ln2^8 - 166320000*ln2^2*s6 + 
    285264000*ln2*s7a + 151200000*ln2*s7b - 11546325*s8a + 773640000*s8b - 
    124992000*s8c + 216720000*s8d - 56448000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 141120000*li4half*ln2^2*z2 - 5801600*ln2^6*z2 - 
    447552000*s6*z2 - 137289600*li4half*z2^2 + 11919600*ln2^4*z2^2 + 
    63168000*ln2^2*z2^3 - 130878492*z2^4 - 405216000*li5half*z3 + 
    423360000*li4half*ln2*z3 + 21840000*ln2^5*z3 - 147840000*ln2^3*z2*z3 - 
    291690000*ln2*z2^2*z3 + 323442000*ln2^2*z3^2 + 46998000*z2*z3^2 + 
    120760500*ln2^3*z5 - 126504000*ln2*z2*z5 + 152105625*z3*z5 + 
    796123125*ln2*z7)/28224000, H[-1, 1, 0, -1, -1, 1, 1, 1, 1] -> 
  (-112896000*li4half^2 - 6604416000*li8half - 169344000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 
    130200*ln2^8 + 486864000*ln2^2*s6 + 76608000*ln2*s7a - 
    290304000*ln2*s7b - 1770695325*s8a - 11800152000*s8b - 1042272000*s8c - 
    1187424000*s8d + 84672000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 - 1842400*ln2^6*z2 + 3447360000*s6*z2 - 
    144345600*li4half*z2^2 + 55666800*ln2^4*z2^2 + 9676800*ln2^2*z2^3 + 
    496259208*z2^4 + 2177280000*li5half*z3 - 183456000*li4half*ln2*z3 - 
    24553200*ln2^5*z3 + 184968000*ln2^3*z2*z3 + 1541118600*ln2*z2^2*z3 + 
    180148500*ln2^2*z3^2 + 1287310500*z2*z3^2 + 405573000*ln2^3*z5 + 
    3840669000*ln2*z2*z5 - 1403301375*z3*z5 - 1330150500*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, -1, 1, 1, 0, 1] -> 
  (-225792000*li4half^2 + 18063360000*li8half + 3612672000*li7half*ln2 + 
    225792000*li6half*ln2^2 - 18816000*li4half*ln2^4 - 347200*ln2^8 - 
    2640960000*ln2^2*s6 + 588672000*ln2*s7a - 794304000*ln2*s7b + 
    6130597725*s8a + 38471832000*s8b + 4175136000*s8c + 3445344000*s8d + 
    84672000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 - 10616256000*s6*z2 + 
    875347200*li4half*z2^2 - 20210400*ln2^4*z2^2 + 327196800*ln2^2*z2^3 - 
    1219725504*z2^4 - 6947136000*li5half*z3 - 366912000*li4half*ln2*z3 + 
    42604800*ln2^5*z3 - 474852000*ln2^3*z2*z3 - 4524975000*ln2*z2^2*z3 + 
    119826000*ln2^2*z3^2 - 4615978500*z2*z3^2 + 1339758000*ln2^3*z5 - 
    10107027000*ln2*z2*z5 + 5027770125*z3*z5 - 7451734500*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, -1, 1, 1, -1, 1] -> 
  (3499776000*li8half - 56448000*li7half*ln2 + 141120000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 + 58800*ln2^8 - 109872000*ln2^2*s6 - 
    88704000*ln2*s7a + 151200000*ln2*s7b + 843905475*s8a + 5853960000*s8b + 
    538272000*s8c + 491904000*s8d - 141120000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 784000*ln2^6*z2 - 1569456000*s6*z2 + 
    98380800*li4half*z2^2 - 39883200*ln2^4*z2^2 - 73483200*ln2^2*z2^3 - 
    185971824*z2^4 - 941472000*li5half*z3 + 6610800*ln2^5*z3 - 
    73164000*ln2^3*z2*z3 - 698203800*ln2*z2^2*z3 - 205317000*ln2^2*z3^2 - 
    574371000*z2*z3^2 - 287091000*ln2^3*z5 - 1902411000*ln2*z2*z5 + 
    188377875*z3*z5 + 454678875*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, -1, 1, 0, 1, 1] -> 
  (225792000*li4half^2 - 6773760000*li8half - 2709504000*li7half*ln2 - 
    338688000*li6half*ln2^2 + 18816000*li4half*ln2^4 + 291200*ln2^8 + 
    1467648000*ln2^2*s6 - 554400000*ln2*s7a + 983808000*ln2*s7b - 
    2904923700*s8a - 17163216000*s8b - 2263968000*s8c - 1292256000*s8d - 
    254016000*li6half*z2 - 197568000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 + 4299120000*s6*z2 - 
    444729600*li4half*z2^2 - 25292400*ln2^4*z2^2 - 268144800*ln2^2*z2^3 + 
    343617108*z2^4 + 2707992000*li5half*z3 + 366912000*li4half*ln2*z3 - 
    7278600*ln2^5*z3 + 201852000*ln2^3*z2*z3 + 1831120200*ln2*z2^2*z3 - 
    215979750*ln2^2*z3^2 + 2291231250*z2*z3^2 - 1490139000*ln2^3*z5 + 
    4055436000*ln2*z2*z5 - 2071810125*z3*z5 + 7506765000*ln2*z7)/28224000, 
 H[-1, 1, 0, -1, -1, 1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    180936000*ln2^2*s6 + 39312000*ln2*s7a - 115920000*ln2*s7b + 
    333747225*s8a + 1626912000*s8b + 332640000*s8c + 90720000*s8d - 
    169344000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 882000*ln2^6*z2 - 491904000*s6*z2 - 
    15019200*li4half*z2^2 - 5623800*ln2^4*z2^2 + 84756000*ln2^2*z2^3 + 
    75502926*z2^4 - 199080000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    4599000*ln2^5*z3 - 34230000*ln2^3*z2*z3 - 252321300*ln2*z2^2*z3 + 
    15923250*ln2^2*z3^2 - 257142375*z2*z3^2 + 150381000*ln2^3*z5 - 
    646380000*ln2*z2*z5 + 344704500*z3*z5 - 555392250*ln2*z7)/14112000, 
 H[-1, 1, 0, -1, -1, 1, 0, -1, 1] -> 
  (6451200*li4half^2 + 258048000*li8half + 77414400*li7half*ln2 + 
    9676800*li6half*ln2^2 + 1075200*li5half*ln2^3 + 537600*li4half*ln2^4 + 
    6720*ln2^8 - 54720000*ln2^2*s6 + 18028800*ln2*s7a - 22694400*ln2*s7b + 
    112718025*s8a + 661953600*s8b + 82656000*s8c + 56851200*s8d - 
    18144000*li6half*z2 - 6048000*li5half*ln2*z2 - 2419200*li4half*ln2^2*z2 - 
    44240*ln2^6*z2 - 192124800*s6*z2 + 6048000*li4half*z2^2 - 
    357840*ln2^4*z2^2 + 14007360*ln2^2*z2^3 - 12230616*z2^4 - 
    110678400*li5half*z3 + 10483200*li4half*ln2*z3 + 1359120*ln2^5*z3 - 
    11667600*ln2^3*z2*z3 - 83734200*ln2*z2^2*z3 + 9850950*ln2^2*z3^2 - 
    84659400*z2*z3^2 + 39125100*ln2^3*z5 - 176175000*ln2*z2*z5 + 
    106166025*z3*z5 - 175383900*ln2*z7)/806400, 
 H[-1, 1, 0, -1, -1, 1, -1, 1, 1] -> 
  (10584000*li4half^2 + 2060352000*li8half + 218736000*li7half*ln2 - 
    3528000*li6half*ln2^2 + 1764000*li4half*ln2^4 + 57925*ln2^8 - 
    284382000*ln2^2*s6 + 49644000*ln2*s7a - 5040000*ln2*s7b + 711274725*s8a + 
    4557420000*s8b + 432432000*s8c + 481320000*s8d + 3528000*li6half*z2 + 
    882000*ln2^6*z2 - 1400994000*s6*z2 + 86738400*li4half*z2^2 - 
    12004650*ln2^4*z2^2 + 47609100*ln2^2*z2^3 - 173612799*z2^4 - 
    962640000*li5half*z3 + 10584000*li4half*ln2*z3 + 8308650*ln2^5*z3 - 
    67651500*ln2^3*z2*z3 - 599901750*ln2*z2^2*z3 + 24782625*ln2^2*z3^2 - 
    531318375*z2*z3^2 + 52975125*ln2^3*z5 - 1280782125*ln2*z2*z5 + 
    848554875*z3*z5 - 196497000*ln2*z7)/7056000, 
 H[-1, 1, 0, -1, -1, 1, -1, 0, 1] -> 
  (112896000*li4half^2 - 9031680000*li8half - 1806336000*li7half*ln2 - 
    112896000*li6half*ln2^2 + 9408000*li4half*ln2^4 + 173600*ln2^8 + 
    1374576000*ln2^2*s6 - 358848000*ln2*s7a + 332640000*ln2*s7b - 
    3151905225*s8a - 19644744000*s8b - 2069088000*s8c - 1854048000*s8d - 
    28224000*li6half*z2 + 9408000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 196000*ln2^6*z2 + 5617920000*s6*z2 - 
    458304000*li4half*z2^2 + 13557600*ln2^4*z2^2 - 205195200*ln2^2*z2^3 + 
    677913144*z2^4 + 3689280000*li5half*z3 + 127008000*li4half*ln2*z3 - 
    25452000*ln2^5*z3 + 271572000*ln2^3*z2*z3 + 2363873400*ln2*z2^2*z3 - 
    106732500*ln2^2*z3^2 + 2380675500*z2*z3^2 - 669879000*ln2^3*z5 + 
    5171775000*ln2*z2*z5 - 3044456625*z3*z5 + 3289531875*ln2*z7)/18816000, 
 H[-1, 1, 0, -1, -1, 1, -1, -1, 1] -> 
  (70560000*li4half^2 - 2229696000*li8half - 254016000*li7half*ln2 + 
    14112000*li6half*ln2^2 + 4704000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 
    49000*ln2^8 + 287280000*ln2^2*s6 - 25200000*ln2*s7a + 52416000*ln2*s7b - 
    746223975*s8a - 4774392000*s8b - 495936000*s8c - 442512000*s8d - 
    42336000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1411200*ln2^6*z2 + 1336608000*s6*z2 - 
    147772800*li4half*z2^2 + 7484400*ln2^4*z2^2 - 24712800*ln2^2*z2^3 + 
    165739164*z2^4 + 892080000*li5half*z3 + 102312000*li4half*ln2*z3 - 
    2965200*ln2^5*z3 + 48762000*ln2^3*z2*z3 + 552610800*ln2*z2^2*z3 + 
    32177250*ln2^2*z3^2 + 558936000*z2*z3^2 - 68355000*ln2^3*z5 + 
    1310904000*ln2*z2*z5 - 621991125*z3*z5 + 584057250*ln2*z7)/9408000, 
 H[-1, 1, 0, -1, -1, 0, 1, 1, 1] -> (4704000*ln2^2*s6 - 1008000*ln2*s7a + 
    1344000*ln2*s7b - 5478900*s8a - 21336000*s8b - 7392000*s8c + 
    2688000*s8d - 3024000*s6*z2 + 537600*li4half*z2^2 + 22400*ln2^4*z2^2 - 
    652400*ln2^2*z2^3 - 2584144*z2^4 + 4032000*li5half*z3 - 33600*ln2^5*z3 + 
    336000*ln2^3*z2*z3 + 7232400*ln2*z2^2*z3 - 747250*ln2^2*z3^2 + 
    5923750*z2*z3^2 - 3038000*ln2^3*z5 + 20433000*ln2*z2*z5 - 6213375*z3*z5 + 
    6079500*ln2*z7)/3136000, H[-1, 1, 0, -1, -1, 0, 1, 0, 1] -> 
  (-14112000*ln2^2*s6 + 3360000*ln2*s7a + 3360000*ln2*s7b + 12270300*s8a - 
    5712000*s8b + 21504000*s8c - 21504000*s8d + 43008000*s6*z2 - 
    4300800*li4half*z2^2 - 179200*ln2^4*z2^2 + 1605800*ln2^2*z2^3 + 
    7837588*z2^4 + 14784000*li5half*z3 - 123200*ln2^5*z3 + 
    1232000*ln2^3*z2*z3 - 8996400*ln2*z2^2*z3 - 9408000*ln2^2*z3^2 - 
    16771125*z2*z3^2 - 76329750*ln2*z2*z5 + 4284000*z3*z5 + 24202500*ln2*z7)/
   4704000, H[-1, 1, 0, -1, -1, 0, 1, -1, 1] -> 
  (-3225600*li4half^2 - 268800*li4half*ln2^4 - 5600*ln2^8 - 43200*ln2^2*s6 - 
    158400*ln2*s7a - 460800*ln2*s7b + 1814400*li5half*ln2*z2 + 
    1209600*li4half*ln2^2*z2 + 35280*ln2^6*z2 + 201600*s6*z2 + 
    2661120*li4half*z2^2 + 161280*ln2^4*z2^2 - 67680*ln2^2*z2^3 - 
    518256*z2^4 - 1209600*li5half*z3 - 5241600*li4half*ln2*z3 - 
    208320*ln2^5*z3 + 415800*ln2^3*z2*z3 + 1429020*ln2*z2^2*z3 - 
    1002825*ln2^2*z3^2 - 55125*z2*z3^2 + 292950*ln2^3*z5 - 508050*ln2*z2*z5 + 
    1247400*z3*z5 - 1876500*ln2*z7)/403200, 
 H[-1, 1, 0, -1, -1, 0, 0, 1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    77616000*ln2^2*s6 - 94752000*ln2*s7a - 38304000*ln2*s7b - 72675225*s8a - 
    286272000*s8b + 6048000*s8c - 90720000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 209664000*s6*z2 + 101808000*li4half*z2^2 + 
    6006000*ln2^4*z2^2 - 39211200*ln2^2*z2^3 + 29555244*z2^4 + 
    266112000*li5half*z3 - 197568000*li4half*ln2*z3 - 10449600*ln2^5*z3 + 
    34524000*ln2^3*z2*z3 + 191658600*ln2*z2^2*z3 - 129654000*ln2^2*z3^2 + 
    59629500*z2*z3^2 - 54684000*ln2^3*z5 + 69237000*ln2*z2*z5 - 
    517356000*z3*z5 - 312291000*ln2*z7)/28224000, 
 H[-1, 1, 0, -1, -1, 0, 0, 0, 1] -> 
  (1075200*ln2*s7a + 1075200*ln2*s7b + 197400*s8a - 134400*s8b - 
    2150400*s8c + 2150400*s8d - 4771200*s6*z2 + 430080*li4half*z2^2 + 
    17920*ln2^4*z2^2 + 314720*ln2^2*z2^3 - 1796838*z2^4 - 
    4300800*li5half*z3 + 35840*ln2^5*z3 - 358400*ln2^3*z2*z3 + 
    270480*ln2*z2^2*z3 + 1293600*ln2^2*z3^2 + 547050*z2*z3^2 + 
    3969000*ln2*z2*z5 + 8718675*z3*z5 + 5422200*ln2*z7)/940800, 
 H[-1, 1, 0, -1, -1, 0, 0, -1, 1] -> 
  (-1209600*ln2*s7a - 4972800*ln2*s7b + 6304725*s8a + 37195200*s8b + 
    4300800*s8c + 3225600*s8d - 12096000*s6*z2 + 645120*li4half*z2^2 + 
    26880*ln2^4*z2^2 + 556080*ln2^2*z2^3 + 800172*z2^4 - 2217600*li5half*z3 + 
    18480*ln2^5*z3 - 184800*ln2^3*z2*z3 - 1234800*ln2*z2^2*z3 + 
    14700*ln2^2*z3^2 - 4159050*z2*z3^2 + 3038000*ln2^3*z5 + 
    2866500*ln2*z2*z5 + 1374975*z3*z5 - 41023500*ln2*z7)/1881600, 
 H[-1, 1, 0, -1, -1, 0, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    48384000*ln2^2*s6 - 171360000*ln2*s7a - 171360000*ln2*s7b + 
    178293150*s8a + 311472000*s8b + 495936000*s8c - 368928000*s8d - 
    254016000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 1411200*ln2^6*z2 + 
    646128000*s6*z2 - 86486400*li4half*z2^2 - 5367600*ln2^4*z2^2 - 
    55339200*ln2^2*z2^3 + 247018104*z2^4 + 1013040000*li5half*z3 + 
    141120000*li4half*ln2*z3 - 2562000*ln2^5*z3 + 49140000*ln2^3*z2*z3 + 
    161607600*ln2*z2^2*z3 - 352957500*ln2^2*z3^2 - 206356500*z2*z3^2 - 
    722484000*ln2*z2*z5 - 1400820750*z3*z5 - 1093813875*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, -1, 0, -1, 0, 1] -> 
  (-28224000*ln2^2*s6 + 30912000*ln2*s7a + 30912000*ln2*s7b + 28500675*s8a - 
    8568000*s8b - 5376000*s8c + 5376000*s8d - 10752000*s6*z2 + 
    1075200*li4half*z2^2 + 44800*ln2^4*z2^2 + 8850800*ln2^2*z2^3 - 
    21825572*z2^4 - 53088000*li5half*z3 + 442400*ln2^5*z3 - 
    4424000*ln2^3*z2*z3 - 24166800*ln2*z2^2*z3 + 3969000*ln2^2*z3^2 - 
    25551750*z2*z3^2 - 61666500*ln2*z2*z5 + 192031875*z3*z5 + 
    183799875*ln2*z7)/9408000, H[-1, 1, 0, -1, -1, 0, -1, -1, 1] -> 
  (-6720000*ln2^2*s6 - 14112000*ln2*s7a - 14112000*ln2*s7b + 34141800*s8a + 
    100800000*s8b + 41664000*s8c - 18144000*s8d + 12768000*s6*z2 - 
    3628800*li4half*z2^2 - 151200*ln2^4*z2^2 + 4608800*ln2^2*z2^3 + 
    12672808*z2^4 + 38640000*li5half*z3 - 322000*ln2^5*z3 + 
    3220000*ln2^3*z2*z3 - 2814000*ln2*z2^2*z3 - 24552500*ln2^2*z3^2 - 
    28136500*z2*z3^2 - 7595000*ln2^3*z5 - 60753000*ln2*z2*z5 - 
    32823000*z3*z5 - 133310625*ln2*z7)/6272000, 
 H[-1, 1, 0, -1, -1, -1, 1, 1, 1] -> 
  (-28224000*li4half^2 - 7451136000*li8half - 903168000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    427000*ln2^8 + 901152000*ln2^2*s6 - 229824000*ln2*s7a + 
    52416000*ln2*s7b - 2089752525*s8a - 14172984000*s8b - 1300320000*s8c - 
    1380960000*s8d - 28224000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 431200*ln2^6*z2 + 4081392000*s6*z2 - 
    252201600*li4half*z2^2 + 29652000*ln2^4*z2^2 - 72525600*ln2^2*z2^3 + 
    540108936*z2^4 + 2959488000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    25779600*ln2^5*z3 + 201936000*ln2^3*z2*z3 + 1808843400*ln2*z2^2*z3 - 
    118534500*ln2^2*z3^2 + 1526710500*z2*z3^2 - 323547000*ln2^3*z5 + 
    3888549000*ln2*z2*z5 - 1876966875*z3*z5 + 975996000*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, -1, -1, 1, 0, 1] -> 
  (-131712000*li4half^2 + 3010560000*li8half + 602112000*li7half*ln2 + 
    37632000*li6half*ln2^2 - 10976000*li4half*ln2^4 - 221200*ln2^8 - 
    304752000*ln2^2*s6 + 54432000*ln2*s7a - 72576000*ln2*s7b + 
    766781925*s8a + 5146008000*s8b + 491232000*s8c + 440160000*s8d + 
    65856000*li6half*z2 + 47040000*li5half*ln2*z2 + 
    47040000*li4half*ln2^2*z2 + 1293600*ln2^6*z2 - 1310736000*s6*z2 + 
    197635200*li4half*z2^2 - 1996400*ln2^4*z2^2 - 5745600*ln2^2*z2^3 - 
    223569552*z2^4 - 974400000*li5half*z3 - 214032000*li4half*ln2*z3 - 
    798000*ln2^5*z3 - 30436000*ln2^3*z2*z3 - 526617000*ln2*z2^2*z3 - 
    50652000*ln2^2*z3^2 - 572680500*z2*z3^2 + 123039000*ln2^3*z5 - 
    1297842000*ln2*z2*z5 + 463231125*z3*z5 - 1002545250*ln2*z7)/18816000, 
 H[-1, 1, 0, -1, -1, -1, 1, -1, 1] -> 
  (-107251200*li4half^2 + 1659571200*li8half + 225792000*li7half*ln2 - 
    16934400*li6half*ln2^2 - 13171200*li5half*ln2^3 - 8467200*li4half*ln2^4 - 
    84000*ln2^8 - 203212800*ln2^2*s6 + 14515200*ln2*s7a - 78624000*ln2*s7b + 
    518392350*s8a + 3334262400*s8b + 354816000*s8c + 285868800*s8d + 
    16934400*li6half*z2 + 39513600*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1795360*ln2^6*z2 - 880790400*s6*z2 + 
    145232640*li4half*z2^2 - 4485600*ln2^4*z2^2 + 1058400*ln2^2*z2^3 - 
    117182376*z2^4 - 591494400*li5half*z3 - 177811200*li4half*ln2*z3 - 
    2315040*ln2^5*z3 - 4015200*ln2^3*z2*z3 - 324964080*ln2*z2^2*z3 - 
    54684000*ln2^2*z3^2 - 390474000*z2*z3^2 + 98431200*ln2^3*z5 - 
    855187200*ln2*z2*z5 + 346509450*z3*z5 - 705418875*ln2*z7)/11289600, 
 H[-1, 1, 0, -1, -1, -1, 0, 1, 1] -> 
  (169344000*li4half^2 + 14112000*li4half*ln2^4 + 294000*ln2^8 - 
    206640000*ln2^2*s6 + 262080000*ln2*s7a - 20160000*ln2*s7b + 
    218765925*s8a + 1796760000*s8b + 30240000*s8c + 393120000*s8d + 
    395136000*li6half*z2 + 169344000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 2626400*ln2^6*z2 - 800352000*s6*z2 - 
    72374400*li4half*z2^2 + 2864400*ln2^4*z2^2 + 79514400*ln2^2*z2^3 - 
    107208552*z2^4 - 892080000*li5half*z3 + 246960000*li4half*ln2*z3 + 
    17724000*ln2^5*z3 - 115500000*ln2^3*z2*z3 - 456485400*ln2*z2^2*z3 + 
    348925500*ln2^2*z3^2 - 198859500*z2*z3^2 + 273420000*ln2^3*z5 - 
    316386000*ln2*z2*z5 + 1072803375*z3*z5 + 167564250*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, -1, -1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    14112000*ln2^2*s6 - 9072000*ln2*s7a - 9072000*ln2*s7b - 15165675*s8a - 
    24444000*s8b - 10080000*s8c + 10080000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 - 2520000*s6*z2 - 15271200*li4half*z2^2 + 
    245700*ln2^4*z2^2 - 273000*ln2^2*z2^3 + 4782492*z2^4 + 
    11592000*li5half*z3 + 24696000*li4half*ln2*z3 + 932400*ln2^5*z3 - 
    5208000*ln2^3*z2*z3 - 5512500*ln2*z2^2*z3 + 16647750*ln2^2*z3^2 + 
    9434250*z2*z3^2 + 43879500*ln2*z2*z5 - 37233000*z3*z5 - 25160625*ln2*z7)/
   14112000, H[-1, 1, 0, -1, -1, -1, 0, -1, 1] -> 
  (19756800*li4half^2 + 1646400*li4half*ln2^4 + 34300*ln2^8 + 
    19756800*ln2^2*s6 + 7660800*ln2*s7a + 35884800*ln2*s7b - 62847225*s8a - 
    216518400*s8b - 68947200*s8c + 12499200*s8d + 19756800*li6half*z2 + 
    8467200*li5half*ln2*z2 - 9878400*li4half*ln2^2*z2 - 454720*ln2^6*z2 + 
    23688000*s6*z2 - 13587840*li4half*z2^2 + 962640*ln2^4*z2^2 - 
    1958880*ln2^2*z2^3 - 13516224*z2^4 - 29232000*li5half*z3 + 
    34574400*li4half*ln2*z3 + 1684200*ln2^5*z3 - 11902800*ln2^3*z2*z3 + 
    546840*ln2*z2^2*z3 + 36779400*ln2^2*z3^2 + 50872500*z2*z3^2 - 
    22785000*ln2^3*z5 + 72191700*ln2*z2*z5 - 6326775*z3*z5 + 
    229332600*ln2*z7)/5644800, H[-1, 1, 0, -1, -1, -1, -1, 1, 1] -> 
  (141120000*li4half^2 - 1862784000*li8half - 903168000*li7half*ln2 - 
    254016000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 182000*ln2^8 + 70560000*ln2^2*s6 - 
    58464000*ln2*s7a + 124992000*ln2*s7b - 252666225*s8a - 1934856000*s8b - 
    122976000*s8c - 159264000*s8d + 254016000*li6half*z2 - 
    42336000*li4half*ln2^2*z2 - 1920800*ln2^6*z2 + 509040000*s6*z2 - 
    148982400*li4half*z2^2 - 3561600*ln2^4*z2^2 + 2268000*ln2^2*z2^3 + 
    124770024*z2^4 + 332640000*li5half*z3 + 218736000*li4half*ln2*z3 + 
    7165200*ln2^5*z3 - 22848000*ln2^3*z2*z3 + 73647000*ln2*z2^2*z3 - 
    6394500*ln2^2*z3^2 + 164776500*z2*z3^2 - 136710000*ln2^3*z5 - 
    3969000*ln2*z2*z5 - 10497375*z3*z5 + 1550587500*ln2*z7)/56448000, 
 H[-1, 1, 0, -1, -1, -1, -1, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 - 
    6048000*ln2^2*s6 + 2016000*ln2*s7a + 2016000*ln2*s7b + 7519050*s8a - 
    20160000*s8b + 8064000*s8c - 8064000*s8d - 28224000*li6half*z2 - 
    12096000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 145600*ln2^6*z2 + 
    7056000*s6*z2 + 806400*li4half*z2^2 - 638400*ln2^4*z2^2 + 
    756000*ln2^2*z2^3 + 2386008*z2^4 + 26208000*li5half*z3 - 
    218400*ln2^5*z3 + 3360000*ln2^3*z2*z3 + 5292000*ln2*z2^2*z3 - 
    9229500*ln2^2*z3^2 - 6804000*z2*z3^2 - 8505000*ln2*z2*z5 + 
    8253000*z3*z5 + 9694125*ln2*z7)/8064000, 
 H[-1, 1, 0, -1, -1, -1, -1, -1, 1] -> 
  (21168000*li4half^2 + 254016000*li8half + 169344000*li7half*ln2 + 
    49392000*li6half*ln2^2 + 7056000*li5half*ln2^3 + 1764000*li4half*ln2^4 + 
    19250*ln2^8 - 14364000*ln2^2*s6 + 28728000*ln2*s7a - 3024000*ln2*s7b + 
    21185325*s8a + 250236000*s8b + 3024000*s8c + 28728000*s8d - 
    7056000*li6half*z2 - 7056000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    450800*ln2^6*z2 - 73332000*s6*z2 - 11188800*li4half*z2^2 + 
    1297800*ln2^4*z2^2 + 6930000*ln2^2*z2^3 - 15753438*z2^4 - 
    53928000*li5half*z3 + 40572000*li4half*ln2*z3 + 1934100*ln2^5*z3 - 
    15666000*ln2^3*z2*z3 - 37138500*ln2*z2^2*z3 + 35705250*ln2^2*z3^2 - 
    9875250*z2*z3^2 + 20506500*ln2^3*z5 + 803250*ln2*z2*z5 - 21034125*z3*z5 - 
    148955625*ln2*z7)/14112000, H[-1, 1, -1, 1, 1, 1, 1, 1, 1] -> 
  (-169344000*li8half - 56448000*li7half*ln2 - 4704000*li6half*ln2^2 + 
    700*ln2^8 + 3360000*ln2^2*s6 - 18559275*s8a - 137424000*s8b - 
    6720000*s8c - 14448000*s8d + 4704000*li6half*z2 - 19600*ln2^6*z2 + 
    39480000*s6*z2 - 2889600*li4half*z2^2 - 208600*ln2^4*z2^2 - 
    252000*ln2^2*z2^3 + 12827916*z2^4 + 28896000*li5half*z3 - 
    84000*ln2^5*z3 + 840000*ln2^3*z2*z3 + 7434000*ln2*z2^2*z3 + 
    945000*ln2^2*z3^2 + 9597000*z2*z3^2 + 6272000*ln2^3*z5 + 
    1344000*ln2*z2*z5 + 18083625*z3*z5 + 56448000*ln2*z7)/9408000, 
 H[-1, 1, -1, 1, 1, 1, 1, 0, 1] -> (56448000*li8half + 33868800*li7half*ln2 + 
    8467200*li6half*ln2^2 + 940800*li5half*ln2^3 - 1400*ln2^8 - 
    17337600*ln2^2*s6 + 14112000*ln2*s7a + 20432475*s8a + 163396800*s8b + 
    9273600*s8c + 24595200*s8d + 5644800*li6half*z2 + 15680*ln2^6*z2 - 
    67536000*s6*z2 + 4919040*li4half*z2^2 + 110880*ln2^4*z2^2 + 
    5664960*ln2^2*z2^3 - 5101128*z2^4 - 53424000*li5half*z3 + 
    398160*ln2^5*z3 - 3040800*ln2^3*z2*z3 - 20419560*ln2*z2^2*z3 + 
    8927100*ln2^2*z3^2 - 6999300*z2*z3^2 + 12730200*ln2^3*z5 - 
    13267800*ln2*z2*z5 + 12960675*z3*z5 - 47429550*ln2*z7)/5644800, 
 H[-1, 1, -1, 1, 1, 1, 1, -1, 1] -> 
  (959616000*li8half + 282240000*li7half*ln2 - 9408000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 - 53200*ln2^8 - 55440000*ln2^2*s6 + 
    70560000*ln2*s7a + 70560000*ln2*s7b + 39197025*s8a + 1265544000*s8b - 
    30240000*s8c + 157248000*s8d + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 705600*ln2^6*z2 - 378000000*s6*z2 + 
    30038400*li4half*z2^2 + 16800*ln2^4*z2^2 + 12448800*ln2^2*z2^3 - 
    19889496*z2^4 - 328608000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    798000*ln2^5*z3 - 10332000*ln2^3*z2*z3 - 80677800*ln2*z2^2*z3 + 
    32256000*ln2^2*z3^2 + 47817000*z2*z3^2 - 37632000*ln2^3*z5 - 
    3654000*ln2*z2*z5 - 428502375*z3*z5 - 721531125*ln2*z7)/56448000, 
 H[-1, 1, -1, 1, 1, 1, 0, 1, 1] -> (-4704000*li4half^2 + 263424000*li8half + 
    56448000*li7half*ln2 - 14112000*li6half*ln2^2 - 6272000*li5half*ln2^3 - 
    784000*li4half*ln2^4 + 3500*ln2^8 + 4368000*ln2^2*s6 - 45696000*ln2*s7a - 
    17472000*ln2*s7b + 53382525*s8a + 196560000*s8b + 40320000*s8c - 
    9744000*s8d - 51744000*li6half*z2 - 18816000*li5half*ln2*z2 + 
    19600*ln2^6*z2 + 4200000*s6*z2 + 2284800*li4half*z2^2 - 
    287000*ln2^4*z2^2 - 3998400*ln2^2*z2^3 - 10466796*z2^4 + 
    33600000*li5half*z3 - 4704000*li4half*ln2*z3 - 319200*ln2^5*z3 + 
    5544000*ln2^3*z2*z3 - 3948000*ln2*z2^2*z3 - 27804000*ln2^2*z3^2 - 
    52290000*z2*z3^2 - 21070000*ln2^3*z5 - 51702000*ln2*z2*z5 + 
    6176625*z3*z5 - 181235250*ln2*z7)/9408000, 
 H[-1, 1, -1, 1, 1, 1, 0, 0, 1] -> (45158400*li8half + 33868800*li7half*ln2 + 
    11289600*li6half*ln2^2 + 1881600*li5half*ln2^3 - 5600*ln2^8 - 
    9979200*ln2^2*s6 + 16531200*ln2*s7a + 5241600*ln2*s7b + 2578275*s8a + 
    87998400*s8b - 3225600*s8c + 15926400*s8d - 19756800*li6half*z2 - 
    11289600*li5half*ln2*z2 - 1411200*li4half*ln2^2*z2 + 39200*ln2^6*z2 - 
    48787200*s6*z2 + 5302080*li4half*z2^2 - 67200*ln2^4*z2^2 + 
    1764000*ln2^2*z2^3 - 3576564*z2^4 - 34675200*li5half*z3 + 
    1411200*li4half*ln2*z3 + 300720*ln2^5*z3 - 3242400*ln2^3*z2*z3 - 
    19353600*ln2*z2^2*z3 + 13797000*ln2^2*z3^2 + 7623000*z2*z3^2 + 
    9966600*ln2^3*z5 - 2545200*ln2*z2*z5 + 8783775*z3*z5 + 23610825*ln2*z7)/
   5644800, H[-1, 1, -1, 1, 1, 1, 0, -1, 1] -> 
  (-112896000*li4half^2 + 3217536000*li8half + 1467648000*li7half*ln2 + 
    310464000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 191800*ln2^8 - 219744000*ln2^2*s6 + 
    187488000*ln2*s7a - 207648000*ln2*s7b + 584124975*s8a + 4417560000*s8b + 
    247968000*s8c + 584640000*s8d - 508032000*li6half*z2 - 
    225792000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 - 
    1740816000*s6*z2 + 211478400*li4half*z2^2 - 3301200*ln2^4*z2^2 + 
    10584000*ln2^2*z2^3 - 316828944*z2^4 - 1056384000*li5half*z3 - 
    169344000*li4half*ln2*z3 + 2452800*ln2^5*z3 - 43344000*ln2^3*z2*z3 - 
    422591400*ln2*z2^2*z3 + 211176000*ln2^2*z3^2 - 330183000*z2*z3^2 + 
    390726000*ln2^3*z5 - 32508000*ln2*z2*z5 + 808581375*z3*z5 - 
    1476145125*ln2*z7)/56448000, H[-1, 1, -1, 1, 1, 1, -1, 1, 1] -> 
  (10080000*li8half + 4838400*li7half*ln2 + 1209600*li6half*ln2^2 + 
    268800*li5half*ln2^3 + 50400*li4half*ln2^4 + 820*ln2^8 - 
    864000*ln2^2*s6 - 345600*ln2*s7a - 2361600*ln2*s7b + 4380075*s8a + 
    19252800*s8b + 3427200*s8c + 504000*s8d - 1209600*li6half*z2 - 
    806400*li5half*ln2*z2 - 302400*li4half*ln2^2*z2 - 9520*ln2^6*z2 - 
    3477600*s6*z2 + 131040*li4half*z2^2 + 38640*ln2^4*z2^2 + 
    122040*ln2^2*z2^3 - 375282*z2^4 - 604800*li5half*z3 + 
    302400*li4half*ln2*z3 + 16800*ln2^5*z3 - 117600*ln2^3*z2*z3 - 
    1406340*ln2*z2^2*z3 - 243000*ln2^2*z3^2 - 3849300*z2*z3^2 + 
    1684200*ln2^3*z5 - 2475000*ln2*z2*z5 + 3227175*z3*z5 - 17437725*ln2*z7)/
   403200, H[-1, 1, -1, 1, 1, 1, -1, 0, 1] -> 
  (-733824000*li8half - 508032000*li7half*ln2 - 169344000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 133000*ln2^8 + 
    83664000*ln2^2*s6 + 38304000*ln2*s7a + 292320000*ln2*s7b - 
    479680425*s8a - 1960056000*s8b - 385056000*s8c - 66528000*s8d + 
    56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 + 
    358848000*s6*z2 - 23184000*li4half*z2^2 - 3553200*ln2^4*z2^2 - 
    27266400*ln2^2*z2^3 + 41504112*z2^4 + 189504000*li5half*z3 + 
    14112000*li4half*ln2*z3 - 1755600*ln2^5*z3 + 6384000*ln2^3*z2*z3 + 
    135891000*ln2*z2^2*z3 + 29043000*ln2^2*z3^2 + 431235000*z2*z3^2 - 
    200214000*ln2^3*z5 + 174762000*ln2*z2*z5 - 552659625*z3*z5 + 
    2150875125*ln2*z7)/56448000, H[-1, 1, -1, 1, 1, 1, -1, -1, 1] -> 
  (-1241856000*li8half - 508032000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 32200*ln2^8 + 208656000*ln2^2*s6 - 
    127008000*ln2*s7a + 183456000*ln2*s7b - 490169925*s8a - 3091032000*s8b - 
    332640000*s8c - 245952000*s8d + 84672000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 431200*ln2^6*z2 + 865872000*s6*z2 - 
    49190400*li4half*z2^2 - 1402800*ln2^4*z2^2 - 44452800*ln2^2*z2^3 + 
    34120392*z2^4 + 477792000*li5half*z3 - 2629200*ln2^5*z3 + 
    26292000*ln2^3*z2*z3 + 294424200*ln2*z2^2*z3 - 57078000*ln2^2*z3^2 + 
    331065000*z2*z3^2 - 254016000*ln2^3*z5 + 309078000*ln2*z2*z5 - 
    212680125*z3*z5 + 1947180375*ln2*z7)/56448000, 
 H[-1, 1, -1, 1, 1, 0, 1, 1, 1] -> (84672000*li4half^2 + 903168000*li8half + 
    338688000*li7half*ln2 + 84672000*li6half*ln2^2 + 28224000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 278600*ln2^8 - 118944000*ln2^2*s6 + 
    205632000*ln2*s7a + 78624000*ln2*s7b + 127830150*s8a + 1225728000*s8b - 
    4032000*s8c + 215712000*s8d - 84672000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 3332000*ln2^6*z2 - 
    621936000*s6*z2 + 26208000*li4half*z2^2 + 11382000*ln2^4*z2^2 + 
    29685600*ln2^2*z2^3 - 86316336*z2^4 - 664272000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 6358800*ln2^5*z3 - 60060000*ln2^3*z2*z3 - 
    237056400*ln2*z2^2*z3 + 109210500*ln2^2*z3^2 + 98059500*z2*z3^2 + 
    25578000*ln2^3*z5 + 77490000*ln2*z2*z5 + 35248500*z3*z5 + 
    222854625*ln2*z7)/56448000, H[-1, 1, -1, 1, 1, 0, 1, 0, 1] -> 
  (-169344000*li4half^2 - 1693440000*li8half - 790272000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 257600*ln2^8 + 461160000*ln2^2*s6 - 
    361872000*ln2*s7a + 12096000*ln2*s7b - 651355425*s8a - 4325832000*s8b - 
    318528000*s8c - 563472000*s8d + 42336000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 105840000*li4half*ln2^2*z2 + 3959200*ln2^6*z2 + 
    1606752000*s6*z2 + 3729600*li4half*z2^2 - 11575200*ln2^4*z2^2 - 
    149066400*ln2^2*z2^3 + 161393412*z2^4 + 1296288000*li5half*z3 - 
    211680000*li4half*ln2*z3 - 19152000*ln2^5*z3 + 163002000*ln2^3*z2*z3 + 
    726478200*ln2*z2^2*z3 - 324198000*ln2^2*z3^2 + 359289000*z2*z3^2 - 
    356916000*ln2^3*z5 + 825678000*ln2*z2*z5 - 1029522375*z3*z5 + 
    569031750*ln2*z7)/28224000, H[-1, 1, -1, 1, 1, 0, 1, -1, 1] -> 
  (-12096000*li4half^2 - 570528000*li8half - 205632000*li7half*ln2 - 
    27216000*li6half*ln2^2 - 1008000*li5half*ln2^3 - 924000*li4half*ln2^4 - 
    20250*ln2^8 + 93708000*ln2^2*s6 - 51624000*ln2*s7a + 31536000*ln2*s7b - 
    175475475*s8a - 1188936000*s8b - 105840000*s8c - 126504000*s8d + 
    27216000*li6half*z2 - 6048000*li5half*ln2*z2 - 3528000*li4half*ln2^2*z2 - 
    82600*ln2^6*z2 + 380016000*s6*z2 - 16783200*li4half*z2^2 + 
    699300*ln2^4*z2^2 - 22786200*ln2^2*z2^3 + 40222044*z2^4 + 
    257544000*li5half*z3 - 9324000*li4half*ln2*z3 - 2562000*ln2^5*z3 + 
    19719000*ln2^3*z2*z3 + 149346900*ln2*z2^2*z3 - 43015500*ln2^2*z3^2 + 
    119259000*z2*z3^2 - 79521750*ln2^3*z5 + 220252500*ln2*z2*z5 - 
    178061625*z3*z5 + 343251000*ln2*z7)/2016000, 
 H[-1, 1, -1, 1, 1, 0, 0, 1, 1] -> 
  (16464000*li4half^2 - 9408000*li7half*ln2 - 4704000*li6half*ln2^2 - 
    1568000*li5half*ln2^3 + 980000*li4half*ln2^4 + 20650*ln2^8 - 
    34356000*ln2^2*s6 + 23688000*ln2*s7a - 17472000*ln2*s7b + 64306725*s8a + 
    325836000*s8b + 38976000*s8c + 38640000*s8d + 9408000*li6half*z2 + 
    9408000*li5half*ln2*z2 - 3528000*li4half*ln2^2*z2 - 186200*ln2^6*z2 - 
    117852000*s6*z2 - 3208800*li4half*z2^2 + 189700*ln2^4*z2^2 + 
    12294800*ln2^2*z2^3 - 4407524*z2^4 - 96684000*li5half*z3 + 
    9408000*li4half*ln2*z3 + 1158500*ln2^5*z3 - 10115000*ln2^3*z2*z3 - 
    53984700*ln2*z2^2*z3 + 20454000*ln2^2*z3^2 - 50179500*z2*z3^2 + 
    41405000*ln2^3*z5 - 87286500*ln2*z2*z5 + 154489125*z3*z5 - 
    70764750*ln2*z7)/4704000, H[-1, 1, -1, 1, 1, 0, 0, 0, 1] -> 
  (-2016000*ln2^2*s6 + 4032000*ln2*s7a + 46368000*ln2*s7b - 58922325*s8a - 
    185472000*s8b - 46368000*s8c + 4032000*s8d - 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 392000*ln2^6*z2 + 
    30744000*s6*z2 + 11390400*li4half*z2^2 + 2650200*ln2^4*z2^2 + 
    1965600*ln2^2*z2^3 + 14413608*z2^4 + 69552000*li5half*z3 + 
    77616000*li4half*ln2*z3 + 2654400*ln2^5*z3 - 15960000*ln2^3*z2*z3 + 
    36111600*ln2*z2^2*z3 + 25893000*ln2^2*z3^2 + 41611500*z2*z3^2 - 
    36750000*ln2^3*z5 + 22081500*ln2*z2*z5 - 219263625*z3*z5 + 
    171706500*ln2*z7)/28224000, H[-1, 1, -1, 1, 1, 0, 0, -1, 1] -> 
  (56448000*li4half^2 + 56448000*li8half + 56448000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    147000*ln2^8 - 212184000*ln2^2*s6 + 89712000*ln2*s7a - 58464000*ln2*s7b + 
    346871700*s8a + 1967616000*s8b + 252000000*s8c + 178416000*s8d - 
    14112000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 1568000*ln2^6*z2 - 554400000*s6*z2 + 
    1108800*li4half*z2^2 + 4603200*ln2^4*z2^2 + 84134400*ln2^2*z2^3 + 
    49179252*z2^4 - 413280000*li5half*z3 + 42336000*li4half*ln2*z3 + 
    5443200*ln2^5*z3 - 47670000*ln2^3*z2*z3 - 279694800*ln2*z2^2*z3 + 
    48258000*ln2^2*z3^2 - 269041500*z2*z3^2 + 143472000*ln2^3*z5 - 
    634536000*ln2*z2*z5 + 447489000*z3*z5 - 835498125*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, 1, 0, -1, 1, 1] -> 
  (338688000*li4half^2 + 14958720000*li8half + 5249664000*li7half*ln2 + 
    592704000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 289800*ln2^8 - 2524032000*ln2^2*s6 + 
    1372896000*ln2*s7a - 1167264000*ln2*s7b + 4963374675*s8a + 
    32448024000*s8b + 3078432000*s8c + 3342528000*s8d - 
    592704000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    183456000*li4half*ln2^2*z2 + 5605600*ln2^6*z2 - 10283616000*s6*z2 + 
    446947200*li4half*z2^2 - 30769200*ln2^4*z2^2 + 575013600*ln2^2*z2^3 - 
    1081328832*z2^4 - 7002576000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    60530400*ln2^5*z3 - 471828000*ln2^3*z2*z3 - 3993028200*ln2*z2^2*z3 + 
    1112328000*ln2^2*z3^2 - 3406473000*z2*z3^2 + 2489886000*ln2^3*z5 - 
    5844825000*ln2*z2*z5 + 5292842625*z3*z5 - 10242453375*ln2*z7)/56448000, 
 H[-1, 1, -1, 1, 1, 0, -1, 0, 1] -> 
  (-169344000*li4half^2 - 1693440000*li8half - 790272000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 257600*ln2^8 + 453600000*ln2^2*s6 - 
    346752000*ln2*s7a + 104832000*ln2*s7b - 746477550*s8a - 4696776000*s8b - 
    411264000*s8c - 548352000*s8d - 42336000*li6half*z2 - 
    42336000*li5half*ln2*z2 + 63504000*li4half*ln2^2*z2 + 2783200*ln2^6*z2 + 
    1622376000*s6*z2 - 1713600*li4half*z2^2 - 6392400*ln2^4*z2^2 - 
    137457600*ln2^2*z2^3 + 172435812*z2^4 + 1393056000*li5half*z3 - 
    84672000*li4half*ln2*z3 - 14784000*ln2^5*z3 + 135198000*ln2^3*z2*z3 + 
    740313000*ln2*z2^2*z3 - 282114000*ln2^2*z3^2 + 496755000*z2*z3^2 - 
    422331000*ln2^3*z5 + 967081500*ln2*z2*z5 - 1356752250*z3*z5 + 
    972916875*ln2*z7)/28224000, H[-1, 1, -1, 1, 1, 0, -1, -1, 1] -> 
  (56448000*li7half*ln2 + 28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 47600*ln2^8 - 29232000*ln2^2*s6 + 
    4032000*ln2*s7a + 4032000*ln2*s7b + 34991775*s8a + 148680000*s8b + 
    50400000*s8c - 36288000*s8d - 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 509600*ln2^6*z2 + 58464000*s6*z2 - 
    7257600*li4half*z2^2 + 1814400*ln2^4*z2^2 + 7576800*ln2^2*z2^3 + 
    36940584*z2^4 + 79632000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    389200*ln2^5*z3 + 5068000*ln2^3*z2*z3 + 2650200*ln2*z2^2*z3 - 
    40929000*ln2^2*z3^2 - 29788500*z2*z3^2 - 14259000*ln2^3*z5 - 
    120267000*ln2*z2*z5 - 154819875*z3*z5 - 264111750*ln2*z7)/18816000, 
 H[-1, 1, -1, 1, 1, -1, 1, 1, 1] -> 
  (-24192000*li8half - 72576000*li7half*ln2 - 36288000*li6half*ln2^2 - 
    8064000*li5half*ln2^3 - 1008000*li4half*ln2^4 - 11600*ln2^8 - 
    17280000*ln2^2*s6 + 5184000*ln2*s7a + 35424000*ln2*s7b + 6720525*s8a + 
    37800000*s8b - 6048000*s8c + 24192000*s8d + 36288000*li6half*z2 + 
    24192000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 156800*ln2^6*z2 - 
    42336000*s6*z2 + 4233600*li4half*z2^2 - 84000*ln2^4*z2^2 + 
    8971200*ln2^2*z2^3 - 11210616*z2^4 - 60480000*li5half*z3 - 
    6048000*li4half*ln2*z3 + 58800*ln2^5*z3 - 1596000*ln2^3*z2*z3 - 
    27887400*ln2*z2^2*z3 - 3663000*ln2^2*z3^2 + 10332000*z2*z3^2 - 
    34671000*ln2^3*z5 - 70731000*ln2*z2*z5 + 35713125*z3*z5 + 
    261565875*ln2*z7)/8064000, H[-1, 1, -1, 1, 1, -1, 1, 0, 1] -> 
  (141120000*li8half + 169344000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    23520000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 38500*ln2^8 + 
    58968000*ln2^2*s6 - 12096000*ln2*s7a - 82656000*ln2*s7b - 18496800*s8a + 
    76608000*s8b + 26208000*s8c - 47376000*s8d - 84672000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 19600*ln2^6*z2 + 45360000*s6*z2 + 
    1108800*li4half*z2^2 - 659400*ln2^4*z2^2 - 21394800*ln2^2*z2^3 + 
    28029312*z2^4 + 45360000*li5half*z3 - 63504000*li4half*ln2*z3 - 
    2788800*ln2^5*z3 + 16716000*ln2^3*z2*z3 + 50337000*ln2*z2^2*z3 - 
    19246500*ln2^2*z3^2 - 11497500*z2*z3^2 + 32046000*ln2^3*z5 + 
    116329500*ln2*z2*z5 - 97807500*z3*z5 - 608335875*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, 1, -1, 1, -1, 1] -> 
  (4838400*li7half*ln2 + 2419200*li6half*ln2^2 + 403200*li5half*ln2^3 - 
    940*ln2^8 + 518400*ln2^2*s6 + 1900800*ln2*s7a - 2937600*ln2*s7b - 
    2419200*li6half*z2 - 1209600*li5half*ln2*z2 + 9520*ln2^6*z2 - 
    2419200*s6*z2 - 49560*ln2^4*z2^2 - 519120*ln2^2*z2^3 - 5292*z2^4 + 
    604800*li5half*z3 - 3360*ln2^5*z3 + 33600*ln2^3*z2*z3 + 
    1076400*ln2*z2^2*z3 + 1613700*ln2^2*z3^2 + 762300*z2*z3^2 + 
    4638900*ln2^3*z5 + 8925300*ln2*z2*z5 - 72450*z3*z5 - 13207725*ln2*z7)/
   806400, H[-1, 1, -1, 1, 1, -1, 0, 1, 1] -> 
  (-1411200000*li8half - 169344000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    65856000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 77000*ln2^8 + 
    156240000*ln2^2*s6 - 90720000*ln2*s7a - 344736000*ln2*s7b + 
    101204775*s8a - 922824000*s8b + 207648000*s8c - 306432000*s8d + 
    169344000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2077600*ln2^6*z2 + 831600000*s6*z2 - 
    55641600*li4half*z2^2 + 7030800*ln2^4*z2^2 - 38505600*ln2^2*z2^3 + 
    166852944*z2^4 + 605808000*li5half*z3 + 56448000*li4half*ln2*z3 - 
    2402400*ln2^5*z3 + 6384000*ln2^3*z2*z3 + 209323800*ln2*z2^2*z3 - 
    48888000*ln2^2*z3^2 - 349335000*z2*z3^2 + 181104000*ln2^3*z5 - 
    43344000*ln2*z2*z5 + 373109625*z3*z5 - 1800673875*ln2*z7)/56448000, 
 H[-1, 1, -1, 1, 1, -1, 0, 0, 1] -> (-8064000*li8half - 6451200*li7half*ln2 - 
    2419200*li6half*ln2^2 - 537600*li5half*ln2^3 - 67200*li4half*ln2^4 - 
    600*ln2^8 + 590400*ln2^2*s6 - 691200*ln2*s7a + 2937600*ln2*s7b - 
    3718575*s8a - 20361600*s8b - 3225600*s8c - 604800*s8d + 
    2419200*li6half*z2 + 1209600*li5half*ln2*z2 - 5600*ln2^6*z2 + 
    5544000*s6*z2 - 322560*li4half*z2^2 + 52920*ln2^4*z2^2 - 
    26640*ln2^2*z2^3 + 190008*z2^4 + 3024000*li5half*z3 + 
    1209600*li4half*ln2*z3 + 20160*ln2^5*z3 - 109200*ln2^3*z2*z3 + 
    2544840*ln2*z2^2*z3 - 309600*ln2^2*z3^2 + 3156300*z2*z3^2 - 
    2725800*ln2^3*z5 - 1226700*ln2*z2*z5 - 5838525*z3*z5 + 19770750*ln2*z7)/
   806400, H[-1, 1, -1, 1, 1, -1, 0, -1, 1] -> 
  (-1467648000*li8half - 592704000*li7half*ln2 - 84672000*li6half*ln2^2 + 
    4704000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 120400*ln2^8 + 
    167328000*ln2^2*s6 - 208656000*ln2*s7a + 66528000*ln2*s7b - 
    312809175*s8a - 2467080000*s8b - 86688000*s8c - 407232000*s8d + 
    169344000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1666000*ln2^6*z2 + 1230768000*s6*z2 - 
    78624000*li4half*z2^2 + 4544400*ln2^4*z2^2 - 35053200*ln2^2*z2^3 + 
    206964432*z2^4 + 800352000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    4817400*ln2^5*z3 + 46116000*ln2^3*z2*z3 + 331758000*ln2*z2^2*z3 - 
    202104000*ln2^2*z3^2 + 95665500*z2*z3^2 - 245490000*ln2^3*z5 - 
    166225500*ln2*z2*z5 - 638418375*z3*z5 + 296139375*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, 1, -1, -1, 1, 1] -> 
  (-677376000*li8half - 169344000*li7half*ln2 + 18200*ln2^8 + 
    335664000*ln2^2*s6 - 66528000*ln2*s7a + 102816000*ln2*s7b - 
    504048825*s8a - 2904552000*s8b - 538272000*s8c - 139104000*s8d - 
    274400*ln2^6*z2 + 616896000*s6*z2 - 27820800*li4half*z2^2 - 
    1100400*ln2^4*z2^2 - 97423200*ln2^2*z2^3 - 70659432*z2^4 + 
    278208000*li5half*z3 - 966000*ln2^5*z3 + 9660000*ln2^3*z2*z3 + 
    354576600*ln2*z2^2*z3 + 109179000*ln2^2*z3^2 + 397530000*z2*z3^2 - 
    112749000*ln2^3*z5 + 1308825000*ln2*z2*z5 - 30610125*z3*z5 + 
    724885875*ln2*z7)/56448000, H[-1, 1, -1, 1, 1, -1, -1, 0, 1] -> 
  (-225792000*li8half - 282240000*li7half*ln2 - 141120000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 28000*ln2^8 - 
    71568000*ln2^2*s6 - 68544000*ln2*s7a - 26208000*ln2*s7b + 32339475*s8a + 
    298872000*s8b + 139104000*s8c + 2016000*s8d + 225792000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 548800*ln2^6*z2 + 
    80640000*s6*z2 - 2419200*li4half*z2^2 - 2217600*ln2^4*z2^2 + 
    24292800*ln2^2*z2^3 + 53378496*z2^4 - 60480000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 730800*ln2^5*z3 + 16128000*ln2^3*z2*z3 - 
    64146600*ln2*z2^2*z3 - 87381000*ln2^2*z3^2 - 52731000*z2*z3^2 - 
    294000*ln2^3*z5 - 309897000*ln2*z2*z5 - 172832625*z3*z5 - 
    132937875*ln2*z7)/56448000, H[-1, 1, -1, 1, 1, -1, -1, -1, 1] -> 
  (183456000*li8half + 56448000*li7half*ln2 + 7056000*li6half*ln2^2 + 
    2352000*li5half*ln2^3 + 588000*li4half*ln2^4 + 7700*ln2^8 - 
    78372000*ln2^2*s6 + 5544000*ln2*s7a - 33264000*ln2*s7b + 155252475*s8a + 
    804888000*s8b + 142128000*s8c + 23688000*s8d - 7056000*li6half*z2 - 
    7056000*li5half*ln2*z2 - 3528000*li4half*ln2^2*z2 - 78400*ln2^6*z2 - 
    128520000*s6*z2 + 5090400*li4half*z2^2 + 638400*ln2^4*z2^2 + 
    22604400*ln2^2*z2^3 + 25512846*z2^4 - 43848000*li5half*z3 + 
    3528000*li4half*ln2*z3 + 277200*ln2^5*z3 - 2184000*ln2^3*z2*z3 - 
    81956700*ln2*z2^2*z3 - 32681250*ln2^2*z3^2 - 134048250*z2*z3^2 + 
    25908750*ln2^3*z5 - 331206750*ln2*z2*z5 + 25034625*z3*z5 - 
    421792875*ln2*z7)/14112000, H[-1, 1, -1, 1, 0, 1, 1, 1, 1] -> 
  (-6048000*li4half^2 - 88704000*li8half - 40320000*li7half*ln2 - 
    6048000*li6half*ln2^2 - 504000*li4half*ln2^4 - 13100*ln2^8 + 
    22968000*ln2^2*s6 - 6336000*ln2*s7a + 19872000*ln2*s7b - 50921325*s8a - 
    265104000*s8b - 40320000*s8c - 15120000*s8d + 6048000*li6half*z2 + 
    3024000*li4half*ln2^2*z2 + 154000*ln2^6*z2 + 61488000*s6*z2 - 
    3326400*li4half*z2^2 - 575400*ln2^4*z2^2 - 5137200*ln2^2*z2^3 + 
    2499948*z2^4 + 40320000*li5half*z3 - 3024000*li4half*ln2*z3 - 
    520800*ln2^5*z3 + 4704000*ln2^3*z2*z3 + 32691600*ln2*z2^2*z3 - 
    5778000*ln2^2*z3^2 + 43218000*z2*z3^2 - 26607000*ln2^3*z5 + 
    65421000*ln2*z2*z5 - 54991125*z3*z5 + 139573125*ln2*z7)/4032000, 
 H[-1, 1, -1, 1, 0, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    14112000*ln2^2*s6 - 2016000*ln2*s7a + 35616000*ln2*s7b - 66994200*s8a - 
    310800000*s8b - 43008000*s8c - 32256000*s8d - 28224000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 627200*ln2^6*z2 + 118608000*s6*z2 - 
    9273600*li4half*z2^2 + 1573600*ln2^4*z2^2 - 6098400*ln2^2*z2^3 + 
    2098608*z2^4 + 64512000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    1520400*ln2^5*z3 - 11284000*ln2^3*z2*z3 + 11289600*ln2*z2^2*z3 + 
    19992000*ln2^2*z3^2 + 23877000*z2*z3^2 - 27783000*ln2^3*z5 - 
    45570000*ln2*z2*z5 - 41128500*z3*z5 + 320399625*ln2*z7)/18816000, 
 H[-1, 1, -1, 1, 0, 1, 1, -1, 1] -> 
  (18232704000*li8half + 5983488000*li7half*ln2 + 762048000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 186200*ln2^8 - 
    3490704000*ln2^2*s6 + 1231776000*ln2*s7a - 1703520000*ln2*s7b + 
    7210898100*s8a + 43614144000*s8b + 5124672000*s8c + 3921120000*s8d - 
    762048000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 3528000*ln2^6*z2 - 12668544000*s6*z2 + 
    806803200*li4half*z2^2 - 10012800*ln2^4*z2^2 + 759427200*ln2^2*z2^3 - 
    1115201664*z2^4 - 7785792000*li5half*z3 - 134064000*li4half*ln2*z3 + 
    60530400*ln2^5*z3 - 617064000*ln2^3*z2*z3 - 5165647200*ln2*z2^2*z3 + 
    714546000*ln2^2*z3^2 - 5439924000*z2*z3^2 + 2901633000*ln2^3*z5 - 
    10452393000*ln2*z2*z5 + 6999678000*z3*z5 - 12956808375*ln2*z7)/56448000, 
 H[-1, 1, -1, 1, 0, 1, 0, 1, 1] -> (28224000*li4half^2 + 846720000*li8half + 
    451584000*li7half*ln2 + 112896000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 78400*ln2^8 - 
    173880000*ln2^2*s6 + 112896000*ln2*s7a - 112896000*ln2*s7b + 
    325399725*s8a + 2017260000*s8b + 234864000*s8c + 170856000*s8d + 
    70560000*li6half*z2 + 56448000*li5half*ln2*z2 - 450800*ln2^6*z2 - 
    533988000*s6*z2 + 8769600*li4half*z2^2 + 2011800*ln2^4*z2^2 + 
    44112600*ln2^2*z2^3 - 51139224*z2^4 - 384048000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 4376400*ln2^5*z3 - 38472000*ln2^3*z2*z3 - 
    249146100*ln2*z2^2*z3 + 80970750*ln2^2*z3^2 - 250566750*z2*z3^2 + 
    200361000*ln2^3*z5 - 418383000*ln2*z2*z5 + 280105875*z3*z5 - 
    953221500*ln2*z7)/14112000, H[-1, 1, -1, 1, 0, 1, 0, 0, 1] -> 
  (-21168000*ln2^2*s6 + 8064000*ln2*s7a - 20160000*ln2*s7b + 44566200*s8a + 
    182448000*s8b + 40320000*s8c + 16128000*s8d + 112896000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 274400*ln2^6*z2 - 
    4032000*s6*z2 - 17942400*li4half*z2^2 - 1218000*ln2^4*z2^2 + 
    6934200*ln2^2*z2^3 - 7439268*z2^4 - 60480000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 84000*ln2^5*z3 + 840000*ln2^3*z2*z3 - 
    28135800*ln2*z2^2*z3 - 4630500*ln2^2*z3^2 - 55156500*z2*z3^2 + 
    24328500*ln2^3*z5 - 101871000*ln2*z2*z5 + 102957750*z3*z5 - 
    126307125*ln2*z7)/14112000, H[-1, 1, -1, 1, 0, 1, 0, -1, 1] -> 
  (8064000*li4half^2 - 64512000*li8half - 32256000*li7half*ln2 - 
    8064000*li6half*ln2^2 - 1344000*li5half*ln2^3 + 504000*li4half*ln2^4 + 
    11800*ln2^8 + 2016000*ln2^2*s6 + 8064000*ln2*s7b - 12511800*s8a - 
    88704000*s8b - 8064000*s8c - 8064000*s8d + 14616000*li6half*z2 + 
    8064000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 122500*ln2^6*z2 + 
    28602000*s6*z2 - 8366400*li4half*z2^2 + 93450*ln2^4*z2^2 + 
    1477800*ln2^2*z2^3 + 4190562*z2^4 + 12096000*li5half*z3 + 
    12096000*li4half*ln2*z3 + 373800*ln2^5*z3 - 1701000*ln2^3*z2*z3 + 
    2009700*ln2*z2^2*z3 + 1653750*ln2^2*z3^2 + 7756875*z2*z3^2 - 
    7801500*ln2^3*z5 - 3622500*ln2*z2*z5 - 3165750*z3*z5 + 64212750*ln2*z7)/
   1008000, H[-1, 1, -1, 1, 0, 1, -1, 1, 1] -> 
  (-2940000000*li8half - 903168000*li7half*ln2 - 105840000*li6half*ln2^2 - 
    6272000*li5half*ln2^3 + 11550*ln2^8 + 569268000*ln2^2*s6 - 
    209664000*ln2*s7a + 279552000*ln2*s7b - 1194068925*s8a - 7229208000*s8b - 
    845040000*s8c - 644952000*s8d + 105840000*li6half*z2 + 
    18816000*li5half*ln2*z2 - 343000*ln2^6*z2 + 2097816000*s6*z2 - 
    128990400*li4half*z2^2 + 1235500*ln2^4*z2^2 - 122560200*ln2^2*z2^3 + 
    172853892*z2^4 + 1280496000*li5half*z3 - 10670800*ln2^5*z3 + 
    104944000*ln2^3*z2*z3 + 858599700*ln2*z2^2*z3 - 120424500*ln2^2*z3^2 + 
    891030000*z2*z3^2 - 467950000*ln2^3*z5 + 1680714000*ln2*z2*z5 - 
    1114724625*z3*z5 + 2209966500*ln2*z7)/4704000, 
 H[-1, 1, -1, 1, 0, 1, -1, 0, 1] -> 
  (150528000*li8half + 60211200*li7half*ln2 + 11289600*li6half*ln2^2 + 
    1254400*li5half*ln2^3 + 78400*li4half*ln2^4 + 280*ln2^8 - 
    31920000*ln2^2*s6 + 13843200*ln2*s7a - 19084800*ln2*s7b + 66743250*s8a + 
    394867200*s8b + 48384000*s8c + 34406400*s8d + 705600*li6half*z2 - 
    2940*ln2^6*z2 - 110384400*s6*z2 + 7116480*li4half*z2^2 + 
    57890*ln2^4*z2^2 + 7343280*ln2^2*z2^3 - 9169134*z2^4 - 
    74457600*li5half*z3 - 1411200*li4half*ln2*z3 + 561680*ln2^5*z3 - 
    5812800*ln2^3*z2*z3 - 48046740*ln2*z2^2*z3 + 8089200*ln2^2*z3^2 - 
    51528225*z2*z3^2 + 30656850*ln2^3*z5 - 87936450*ln2*z2*z5 + 
    69802425*z3*z5 - 150104850*ln2*z7)/470400, 
 H[-1, 1, -1, 1, 0, 1, -1, -1, 1] -> 
  (1874073600*li8half + 541900800*li7half*ln2 + 59270400*li6half*ln2^2 + 
    3763200*li5half*ln2^3 - 470400*li4half*ln2^4 - 29680*ln2^8 - 
    352296000*ln2^2*s6 + 122169600*ln2*s7a - 162892800*ln2*s7b + 
    749871675*s8a + 4558276800*s8b + 529401600*s8c + 404812800*s8d - 
    84672000*li6half*z2 - 11289600*li5half*ln2*z2 + 
    2822400*li4half*ln2^2*z2 + 423360*ln2^6*z2 - 1326124800*s6*z2 + 
    80680320*li4half*z2^2 - 1759800*ln2^4*z2^2 + 77747040*ln2^2*z2^3 - 
    105878088*z2^4 - 803980800*li5half*z3 - 2822400*li4half*ln2*z3 + 
    6458760*ln2^5*z3 - 63999600*ln2^3*z2*z3 - 541623600*ln2*z2^2*z3 + 
    64373400*ln2^2*z3^2 - 553253400*z2*z3^2 + 268069200*ln2^3*z5 - 
    1076544000*ln2*z2*z5 + 676319175*z3*z5 - 1343122200*ln2*z7)/5644800, 
 H[-1, 1, -1, 1, 0, 0, 1, 1, 1] -> 
  (-225792000*li8half - 56448000*li7half*ln2 + 5600*ln2^8 + 
    17136000*ln2^2*s6 - 67536000*ln2*s7a - 74592000*ln2*s7b + 41583150*s8a - 
    58968000*s8b + 72576000*s8c - 65520000*s8d - 78400*ln2^6*z2 + 
    141624000*s6*z2 - 13104000*li4half*z2^2 - 428400*ln2^4*z2^2 - 
    6829200*ln2^2*z2^3 + 34107084*z2^4 + 166320000*li5half*z3 - 
    974400*ln2^5*z3 + 9744000*ln2^3*z2*z3 + 39236400*ln2*z2^2*z3 - 
    31342500*ln2^2*z3^2 - 111541500*z2*z3^2 + 36529500*ln2^3*z5 - 
    87475500*ln2*z2*z5 + 117707625*z3*z5 - 384930000*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, 0, 0, 1, 0, 1] -> (-504000*ln2^2*s6 + 672000*ln2*s7a + 
    1408050*s8a + 7056000*s8b + 1344000*s8d - 4368000*s6*z2 + 
    268800*li4half*z2^2 - 5600*ln2^4*z2^2 + 351700*ln2^2*z2^3 - 393492*z2^4 - 
    2688000*li5half*z3 + 22400*ln2^5*z3 - 203000*ln2^3*z2*z3 - 
    1008000*ln2*z2^2*z3 + 546000*ln2^2*z3^2 + 283500*z2*z3^2 + 
    561750*ln2^3*z5 + 1837500*ln2*z2*z5 + 1645875*z3*z5 - 2533125*ln2*z7)/
   336000, H[-1, 1, -1, 1, 0, 0, 1, -1, 1] -> 
  (56448000*li7half*ln2 - 11200*ln2^8 + 474768000*ln2^2*s6 - 
    87696000*ln2*s7a + 258048000*ln2*s7b - 901693800*s8a - 4112640000*s8b - 
    774144000*s8c - 354816000*s8d + 235200*ln2^6*z2 + 1274112000*s6*z2 - 
    70963200*li4half*z2^2 - 1281000*ln2^4*z2^2 - 169923600*ln2^2*z2^3 + 
    3647592*z2^4 + 709632000*li5half*z3 - 5913600*ln2^5*z3 + 
    80304000*ln2^3*z2*z3 + 603338400*ln2*z2^2*z3 - 7812000*ln2^2*z3^2 + 
    785232000*z2*z3^2 - 378304500*ln2^3*z5 + 1726042500*ln2*z2*z5 - 
    1615036500*z3*z5 + 616399875*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, 0, 0, 0, 1, 1] -> (44016000*ln2^2*s6 - 24192000*ln2*s7a + 
    51072000*ln2*s7b - 112455525*s8a - 534912000*s8b - 77280000*s8c - 
    49728000*s8d + 181776000*s6*z2 - 9945600*li4half*z2^2 - 
    257600*ln2^4*z2^2 - 14218400*ln2^2*z2^3 + 3380996*z2^4 + 
    99456000*li5half*z3 - 828800*ln2^5*z3 + 9464000*ln2^3*z2*z3 + 
    63457800*ln2*z2^2*z3 - 19813500*ln2^2*z3^2 + 88168500*z2*z3^2 - 
    71246000*ln2^3*z5 + 92106000*ln2*z2*z5 - 201203625*z3*z5 + 
    269204250*ln2*z7)/9408000, H[-1, 1, -1, 1, 0, 0, 0, 0, 1] -> 
  (-4440*ln2^2*z2^3 - 9019*z2^4 - 15820*ln2*z2^2*z3 + 3150*ln2^2*z3^2 - 
    11550*z2*z3^2 + 3500*ln2^3*z5 - 32900*ln2*z2*z5 + 81550*z3*z5 + 
    110250*ln2*z7)/22400, H[-1, 1, -1, 1, 0, 0, 0, -1, 1] -> 
  (28224000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 66437700*s8a - 
    347760000*s8b - 51072000*s8c - 24192000*s8d + 95424000*s6*z2 - 
    4838400*li4half*z2^2 - 133000*ln2^4*z2^2 - 10442600*ln2^2*z2^3 - 
    9396892*z2^4 + 48384000*li5half*z3 - 403200*ln2^5*z3 + 
    4326000*ln2^3*z2*z3 + 37867200*ln2*z2^2*z3 - 3748500*ln2^2*z3^2 + 
    48961500*z2*z3^2 - 31213000*ln2^3*z5 + 65709000*ln2*z2*z5 - 
    57288000*z3*z5 + 238531125*ln2*z7)/4704000, 
 H[-1, 1, -1, 1, 0, 0, -1, 1, 1] -> 
  (282240000*li8half + 7000*ln2^8 - 457632000*ln2^2*s6 + 88704000*ln2*s7a - 
    193536000*ln2*s7b + 892478475*s8a + 4454352000*s8b + 737856000*s8c + 
    384048000*s8d - 196000*ln2^6*z2 - 1329048000*s6*z2 + 
    76809600*li4half*z2^2 + 730800*ln2^4*z2^2 + 171183600*ln2^2*z2^3 + 
    11429496*z2^4 - 768096000*li5half*z3 + 6400800*ln2^5*z3 - 
    85176000*ln2^3*z2*z3 - 627782400*ln2*z2^2*z3 + 63000*ln2^2*z3^2 - 
    746109000*z2*z3^2 + 275625000*ln2^3*z5 - 1685187000*ln2*z2*z5 + 
    1338631875*z3*z5 - 949095000*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, 0, 0, -1, 0, 1] -> 
  (-504000*ln2^2*s6 + 672000*ln2*s7a + 1105650*s8a + 7056000*s8b + 
    1344000*s8d - 4368000*s6*z2 + 268800*li4half*z2^2 - 3500*ln2^4*z2^2 + 
    295100*ln2^2*z2^3 - 483456*z2^4 - 2688000*li5half*z3 + 22400*ln2^5*z3 - 
    245000*ln2^3*z2*z3 - 1079400*ln2*z2^2*z3 + 714000*ln2^2*z3^2 - 
    199500*z2*z3^2 + 631750*ln2^3*z5 + 157500*ln2*z2*z5 + 3346875*z3*z5 + 
    553875*ln2*z7)/336000, H[-1, 1, -1, 1, 0, 0, -1, -1, 1] -> 
  (-12096000*li4half^2 + 8064000*li8half - 1008000*li4half*ln2^4 - 
    20800*ln2^8 + 4608000*ln2^2*s6 - 2592000*ln2*s7a - 10656000*ln2*s7b + 
    2316825*s8a + 13608000*s8b + 7056000*s8d - 4032000*li6half*z2 + 
    6048000*li4half*ln2^2*z2 + 240800*ln2^6*z2 - 15120000*s6*z2 + 
    11289600*li4half*z2^2 - 327600*ln2^4*z2^2 - 4132800*ln2^2*z2^3 - 
    6279228*z2^4 - 14112000*li5half*z3 - 21168000*li4half*ln2*z3 - 
    705600*ln2^5*z3 + 3528000*ln2^3*z2*z3 + 5583600*ln2*z2^2*z3 - 
    342000*ln2^2*z3^2 - 3276000*z2*z3^2 + 10752000*ln2^3*z5 + 
    22734000*ln2*z2*z5 + 30641625*z3*z5 - 18875250*ln2*z7)/4032000, 
 H[-1, 1, -1, 1, 0, -1, 1, 1, 1] -> 
  (19361664000*li8half + 5927040000*li7half*ln2 + 677376000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 127400*ln2^8 - 
    3610656000*ln2^2*s6 + 1221696000*ln2*s7a - 1925280000*ln2*s7b + 
    7638460200*s8a + 46263168000*s8b + 5511744000*s8c + 3929184000*s8d - 
    677376000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 313600*ln2^6*z2 - 12945744000*s6*z2 + 
    788659200*li4half*z2^2 + 403200*ln2^4*z2^2 + 723996000*ln2^2*z2^3 - 
    1057500288*z2^4 - 7907760000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    68308800*ln2^5*z3 - 667800000*ln2^3*z2*z3 - 5400612000*ln2*z2^2*z3 + 
    730201500*ln2^2*z3^2 - 5869363500*z2*z3^2 + 3106698000*ln2^3*z5 - 
    10955574000*ln2*z2*z5 + 6904248750*z3*z5 - 15098698125*ln2*z7)/56448000, 
 H[-1, 1, -1, 1, 0, -1, 1, 0, 1] -> 
  (-30105600*li8half - 12042240*li7half*ln2 - 2257920*li6half*ln2^2 - 
    250880*li5half*ln2^3 - 15680*li4half*ln2^4 - 56*ln2^8 + 
    6384000*ln2^2*s6 - 2768640*ln2*s7a + 3816960*ln2*s7b - 13160490*s8a - 
    78973440*s8b - 9676800*s8c - 6881280*s8d + 784*ln2^6*z2 + 
    22041600*s6*z2 - 1423296*li4half*z2^2 - 16478*ln2^4*z2^2 - 
    1479996*ln2^2*z2^3 + 1776606*z2^4 + 14891520*li5half*z3 + 
    282240*li4half*ln2*z3 - 112336*ln2^5*z3 + 1178240*ln2^3*z2*z3 + 
    9616404*ln2*z2^2*z3 - 1664880*ln2^2*z3^2 + 10374000*z2*z3^2 - 
    6111770*ln2^3*z5 + 18092970*ln2*z2*z5 - 14119245*z3*z5 + 29485890*ln2*z7)/
   94080, H[-1, 1, -1, 1, 0, -1, 1, -1, 1] -> 
  (-1505280000*li8half - 472752000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    3136000*li5half*ln2^3 + 4200*ln2^8 + 298620000*ln2^2*s6 - 
    110124000*ln2*s7a + 146832000*ln2*s7b - 616259700*s8a - 3714144000*s8b - 
    438144000*s8c - 333312000*s8d + 56448000*li6half*z2 + 
    9408000*li5half*ln2*z2 - 156800*ln2^6*z2 + 1082928000*s6*z2 - 
    66662400*li4half*z2^2 + 333900*ln2^4*z2^2 - 65100000*ln2^2*z2^3 + 
    90820668*z2^4 + 661920000*li5half*z3 - 5516000*ln2^5*z3 + 
    54278000*ln2^3*z2*z3 + 443835000*ln2*z2^2*z3 - 64575000*ln2^2*z3^2 + 
    462084000*z2*z3^2 - 248877125*ln2^3*z5 + 874936125*ln2*z2*z5 - 
    596127000*z3*z5 + 1113913500*ln2*z7)/2352000, 
 H[-1, 1, -1, 1, 0, -1, 0, 1, 1] -> 
  (56448000*li4half^2 + 1693440000*li8half + 903168000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 156800*ln2^8 - 244944000*ln2^2*s6 + 
    225792000*ln2*s7a + 291716775*s8a + 2584008000*s8b + 151200000*s8c + 
    314496000*s8d + 225792000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    784000*ln2^6*z2 - 805392000*s6*z2 + 12096000*li4half*z2^2 + 
    1768200*ln2^4*z2^2 + 54709200*ln2^2*z2^3 - 159182136*z2^4 - 
    713664000*li5half*z3 + 56448000*li4half*ln2*z3 + 8299200*ln2^5*z3 - 
    58296000*ln2^3*z2*z3 - 379650600*ln2*z2^2*z3 + 159106500*ln2^2*z3^2 - 
    143167500*z2*z3^2 + 182574000*ln2^3*z5 - 341586000*ln2*z2*z5 + 
    88554375*z3*z5 - 666351000*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, 0, -1, 0, 0, 1] -> (-21168000*ln2^2*s6 + 8064000*ln2*s7a - 
    20160000*ln2*s7b + 36804600*s8a + 182448000*s8b + 40320000*s8c + 
    16128000*s8d + 112896000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 274400*ln2^6*z2 - 4032000*s6*z2 - 
    17942400*li4half*z2^2 - 1306200*ln2^4*z2^2 + 3952200*ln2^2*z2^3 - 
    14548524*z2^4 - 60480000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    84000*ln2^5*z3 + 252000*ln2^3*z2*z3 - 49480200*ln2*z2^2*z3 + 
    5071500*ln2^2*z3^2 - 76324500*z2*z3^2 + 25798500*ln2^3*z5 - 
    129213000*ln2*z2*z5 + 191598750*z3*z5 - 12088125*ln2*z7)/14112000, 
 H[-1, 1, -1, 1, 0, -1, 0, -1, 1] -> 
  (4032000*li4half^2 - 32256000*li8half - 16128000*li7half*ln2 - 
    4032000*li6half*ln2^2 - 672000*li5half*ln2^3 + 252000*li4half*ln2^4 + 
    5900*ln2^8 + 4032000*ln2^2*s6 + 8064000*ln2*s7b - 14546700*s8a - 
    84672000*s8b - 12096000*s8c - 4032000*s8d + 8064000*li6half*z2 + 
    4032000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 - 60200*ln2^6*z2 + 
    19152000*s6*z2 - 4183200*li4half*z2^2 + 27825*ln2^4*z2^2 - 
    300150*ln2^2*z2^3 - 1021437*z2^4 + 6048000*li5half*z3 + 
    6048000*li4half*ln2*z3 + 186900*ln2^5*z3 - 724500*ln2^3*z2*z3 + 
    3984750*ln2*z2^2*z3 + 2244375*ln2^2*z3^2 + 10954125*z2*z3^2 - 
    7166250*ln2^3*z5 + 10379250*ln2*z2*z5 - 181125*z3*z5 + 74095875*ln2*z7)/
   504000, H[-1, 1, -1, 1, 0, -1, -1, 1, 1] -> 
  (340945920*li8half + 111767040*li7half*ln2 + 13547520*li6half*ln2^2 + 
    752640*li5half*ln2^3 + 94080*li4half*ln2^4 + 2744*ln2^8 - 
    65076480*ln2^2*s6 + 24312960*ln2*s7a - 31852800*ln2*s7b + 132082650*s8a + 
    809444160*s8b + 96203520*s8c + 69471360*s8d - 13547520*li6half*z2 - 
    3951360*li5half*ln2*z2 - 564480*li4half*ln2^2*z2 + 11760*ln2^6*z2 - 
    229118400*s6*z2 + 13950720*li4half*z2^2 + 45024*ln2^4*z2^2 + 
    13708800*ln2^2*z2^3 - 17626032*z2^4 - 136543680*li5half*z3 + 
    564480*li4half*ln2*z3 + 1136688*ln2^5*z3 - 11061120*ln2^3*z2*z3 - 
    94169880*ln2*z2^2*z3 + 11795490*ln2^2*z3^2 - 97982010*z2*z3^2 + 
    52793580*ln2^3*z5 - 189257040*ln2*z2*z5 + 104481405*z3*z5 - 
    262014165*ln2*z7)/1128960, H[-1, 1, -1, 1, 0, -1, -1, 0, 1] -> 
  (-42336000*ln2^2*s6 + 30240000*ln2*s7a - 7392000*ln2*s7b + 86964150*s8a + 
    310800000*s8b + 43008000*s8c + 32256000*s8d - 111552000*s6*z2 + 
    6451200*li4half*z2^2 + 170800*ln2^4*z2^2 + 12499200*ln2^2*z2^3 - 
    18105816*z2^4 - 113904000*li5half*z3 + 949200*ln2^5*z3 - 
    13804000*ln2^3*z2*z3 - 69736800*ln2*z2^2*z3 + 30355500*ln2^2*z3^2 - 
    83853000*z2*z3^2 + 39053000*ln2^3*z5 - 156702000*ln2*z2*z5 + 
    305067000*z3*z5 + 76867875*ln2*z7)/18816000, 
 H[-1, 1, -1, 1, 0, -1, -1, -1, 1] -> 
  (21168000*li4half^2 - 183456000*li8half - 42336000*li7half*ln2 + 
    1764000*li4half*ln2^4 + 40600*ln2^8 + 50904000*ln2^2*s6 - 
    7560000*ln2*s7a + 52416000*ln2*s7b - 142770600*s8a - 791280000*s8b - 
    121968000*s8c - 29736000*s8d + 49392000*li6half*z2 + 
    21168000*li5half*ln2*z2 - 10584000*li4half*ln2^2*z2 - 597800*ln2^6*z2 + 
    168840000*s6*z2 - 23234400*li4half*z2^2 + 1325100*ln2^4*z2^2 - 
    9286200*ln2^2*z2^3 - 25349706*z2^4 + 48888000*li5half*z3 + 
    37044000*li4half*ln2*z3 + 1341900*ln2^5*z3 - 7245000*ln2^3*z2*z3 + 
    52693200*ln2*z2^2*z3 + 33610500*ln2^2*z3^2 + 104265000*z2*z3^2 - 
    42446250*ln2^3*z5 + 173344500*ln2*z2*z5 + 9190125*z3*z5 + 
    575568000*ln2*z7)/14112000, H[-1, 1, -1, 1, -1, 1, 1, 1, 1] -> 
  (366912000*li8half + 282240000*li7half*ln2 + 98784000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 1176000*li4half*ln2^4 - 18200*ln2^8 - 
    14616000*ln2^2*s6 + 68544000*ln2*s7a + 26208000*ln2*s7b - 24637725*s8a + 
    242424000*s8b - 44352000*s8c + 65520000*s8d - 98784000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 
    173376000*s6*z2 + 13809600*li4half*z2^2 - 336000*ln2^4*z2^2 + 
    6602400*ln2^2*z2^3 - 20619036*z2^4 - 102816000*li5half*z3 + 
    7056000*li4half*ln2*z3 + 680400*ln2^5*z3 - 5628000*ln2^3*z2*z3 - 
    26031600*ln2*z2^2*z3 + 39438000*ln2^2*z3^2 + 75600000*z2*z3^2 + 
    12789000*ln2^3*z5 + 142065000*ln2*z2*z5 - 150562125*z3*z5 - 
    95059125*ln2*z7)/28224000, H[-1, 1, -1, 1, -1, 1, 1, 0, 1] -> 
  (-28224000*li8half - 28224000*li7half*ln2 - 14112000*li6half*ln2^2 - 
    4704000*li5half*ln2^3 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    2016000*ln2^2*s6 + 4032000*ln2*s7a + 46368000*ln2*s7b - 60421725*s8a - 
    256032000*s8b - 46368000*s8c + 4032000*s8d - 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 313600*ln2^6*z2 + 
    44856000*s6*z2 - 8366400*li4half*z2^2 + 1297800*ln2^4*z2^2 + 
    2066400*ln2^2*z2^3 - 9458856*z2^4 + 69552000*li5half*z3 + 
    77616000*li4half*ln2*z3 + 2683800*ln2^5*z3 - 20664000*ln2^3*z2*z3 + 
    831600*ln2*z2^2*z3 + 40005000*ln2^2*z3^2 + 2803500*z2*z3^2 - 
    22638000*ln2^3*z5 - 76702500*ln2*z2*z5 + 56140875*z3*z5 + 
    481068000*ln2*z7)/28224000, H[-1, 1, -1, 1, -1, 1, 1, -1, 1] -> 
  (-338688000*li8half - 254016000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 + 42700*ln2^8 + 12096000*ln2^2*s6 - 
    63504000*ln2*s7a + 84672000*ln2*s7b - 120057525*s8a - 869400000*s8b - 
    66528000*s8c - 60480000*s8d + 84672000*li6half*z2 + 
    42336000*li5half*ln2*z2 - 490000*ln2^6*z2 + 269136000*s6*z2 - 
    12096000*li4half*z2^2 + 1289400*ln2^4*z2^2 - 6022800*ln2^2*z2^3 - 
    14643684*z2^4 + 99792000*li5half*z3 - 155400*ln2^5*z3 + 
    1554000*ln2^3*z2*z3 + 51282000*ln2*z2^2*z3 - 33201000*ln2^2*z3^2 + 
    37548000*z2*z3^2 - 81144000*ln2^3*z5 - 240975000*ln2*z2*z5 + 
    119377125*z3*z5 + 1166004000*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, -1, 1, 0, 1, 1] -> 
  (-430416000*li8half - 225792000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 1176000*li4half*ln2^4 - 14875*ln2^8 + 
    44604000*ln2^2*s6 - 28224000*ln2*s7a + 28224000*ln2*s7b - 93545550*s8a - 
    649656000*s8b - 60984000*s8c - 57204000*s8d + 56448000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 171500*ln2^6*z2 + 
    187614000*s6*z2 - 12146400*li4half*z2^2 - 954450*ln2^4*z2^2 - 
    10029600*ln2^2*z2^3 + 21010302*z2^4 + 100296000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 1144500*ln2^5*z3 + 9975000*ln2^3*z2*z3 + 
    65434950*ln2*z2^2*z3 - 20089125*ln2^2*z3^2 + 61779375*z2*z3^2 - 
    45717000*ln2^3*z5 + 70056000*ln2*z2*z5 - 24373125*z3*z5 + 
    349713000*ln2*z7)/7056000, H[-1, 1, -1, 1, -1, 1, 0, 0, 1] -> 
  (665*ln2^4*z2^2 + 2670*ln2^2*z2^3 + 4089*z2^4 - 210*ln2^5*z3 + 
    4900*ln2^3*z2*z3 + 6720*ln2*z2^2*z3 - 11550*ln2^2*z3^2 + 15750*z2*z3^2 - 
    10500*ln2^3*z5 + 48300*ln2*z2*z5 - 54075*z3*z5 - 99225*ln2*z7)/33600, 
 H[-1, 1, -1, 1, -1, 1, 0, -1, 1] -> 
  (-32256000*li8half - 16128000*li7half*ln2 - 4032000*li6half*ln2^2 - 
    672000*li5half*ln2^3 - 84000*li4half*ln2^4 - 1100*ln2^8 + 
    3024000*ln2^2*s6 - 2016000*ln2*s7a + 2016000*ln2*s7b - 6255900*s8a - 
    44352000*s8b - 4032000*s8c - 4032000*s8d + 4032000*li6half*z2 + 
    2016000*li5half*ln2*z2 + 504000*li4half*ln2^2*z2 + 13650*ln2^6*z2 + 
    13104000*s6*z2 - 856800*li4half*z2^2 - 43050*ln2^4*z2^2 - 
    404550*ln2^2*z2^3 + 1898586*z2^4 + 7056000*li5half*z3 - 
    504000*li4half*ln2*z3 - 93450*ln2^5*z3 + 840000*ln2^3*z2*z3 + 
    4425750*ln2*z2^2*z3 - 1669500*ln2^2*z3^2 + 4307625*z2*z3^2 - 
    3895500*ln2^3*z5 + 5969250*ln2*z2*z5 - 2512125*z3*z5 + 19026000*ln2*z7)/
   504000, H[-1, 1, -1, 1, -1, 1, -1, 1, 1] -> 
  (5*ln2^8 - 140*ln2^6*z2 + 210*ln2^4*z2^2 - 900*ln2^2*z2^3 - 603*z2^4 + 
    420*ln2^5*z3 - 4200*ln2^3*z2*z3 + 1260*ln2*z2^2*z3 + 3150*ln2^2*z3^2 - 
    3150*z2*z3^2 + 6300*ln2^3*z5 - 18900*ln2*z2*z5 + 9450*z3*z5 + 
    28350*ln2*z7)/201600, H[-1, 1, -1, 1, -1, 1, -1, 0, 1] -> 
  (70*ln2^6*z2 + 420*ln2^4*z2^2 + 2970*ln2^2*z2^3 + 2988*z2^4 - 
    840*ln2^5*z3 + 10500*ln2^3*z2*z3 - 12600*ln2^2*z3^2 + 14175*z2*z3^2 - 
    16800*ln2^3*z5 + 59850*ln2*z2*z5 - 44100*z3*z5 - 100800*ln2*z7)/100800, 
 H[-1, 1, -1, 1, -1, 1, -1, -1, 1] -> 
  (-84672000*li8half - 84672000*li7half*ln2 - 42336000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 74200*ln2^8 - 
    1512000*ln2^2*s6 + 3024000*ln2*s7a - 18144000*ln2*s7b + 23851800*s8a + 
    114912000*s8b + 18144000*s8c + 3024000*s8d + 42336000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 901600*ln2^6*z2 - 
    27216000*s6*z2 - 1512000*li4half*z2^2 - 2738400*ln2^4*z2^2 + 
    1108800*ln2^2*z2^3 + 9333108*z2^4 - 27216000*li5half*z3 - 
    21168000*li4half*ln2*z3 - 1331400*ln2^5*z3 + 9786000*ln2^3*z2*z3 - 
    8946000*ln2*z2^2*z3 - 7812000*ln2^2*z3^2 - 7875000*z2*z3^2 + 
    12789000*ln2^3*z5 + 22680000*ln2*z2*z5 + 141750*z3*z5 - 169225875*ln2*z7)/
   28224000, H[-1, 1, -1, 1, -1, 0, 1, 1, 1] -> 
  (-733824000*li8half - 169344000*li7half*ln2 + 15400*ln2^8 + 
    76608000*ln2^2*s6 - 120960000*ln2*s7a - 163296000*ln2*s7b + 
    49275450*s8a - 484848000*s8b + 88704000*s8c - 131040000*s8d - 
    196000*ln2^6*z2 + 283248000*s6*z2 - 26208000*li4half*z2^2 - 
    798000*ln2^4*z2^2 - 12751200*ln2^2*z2^3 + 61289712*z2^4 + 
    367920000*li5half*z3 - 1772400*ln2^5*z3 + 17724000*ln2^3*z2*z3 + 
    137037600*ln2*z2^2*z3 - 47029500*ln2^2*z3^2 - 162886500*z2*z3^2 + 
    83790000*ln2^3*z5 + 86562000*ln2*z2*z5 + 271908000*z3*z5 - 
    768922875*ln2*z7)/56448000, H[-1, 1, -1, 1, -1, 0, 1, 0, 1] -> 
  (451584000*li8half + 225792000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 15400*ln2^8 - 
    95256000*ln2^2*s6 + 50400000*ln2*s7a - 76608000*ln2*s7b + 215872650*s8a + 
    1233792000*s8b + 153216000*s8c + 100800000*s8d - 58800*ln2^6*z2 - 
    346248000*s6*z2 + 23688000*li4half*z2^2 + 612150*ln2^4*z2^2 + 
    23097900*ln2^2*z2^3 - 24355146*z2^4 - 243936000*li5half*z3 - 
    21168000*li4half*ln2*z3 + 1239000*ln2^5*z3 - 14007000*ln2^3*z2*z3 - 
    141869700*ln2*z2^2*z3 + 23593500*ln2^2*z3^2 - 147766500*z2*z3^2 + 
    110874750*ln2^3*z5 - 194591250*ln2*z2*z5 + 191212875*z3*z5 - 
    658098000*ln2*z7)/7056000, H[-1, 1, -1, 1, -1, 0, 1, -1, 1] -> 
  (3010560000*li8half + 1232448000*li7half*ln2 + 225792000*li6half*ln2^2 + 
    25088000*li5half*ln2^3 + 1568000*li4half*ln2^4 - 478800000*ln2^2*s6 + 
    246288000*ln2*s7a - 311136000*ln2*s7b + 1034300400*s8a + 6526464000*s8b + 
    709632000*s8c + 569856000*s8d - 225792000*li6half*z2 - 
    75264000*li5half*ln2*z2 - 9408000*li4half*ln2^2*z2 + 78400*ln2^6*z2 - 
    1901760000*s6*z2 + 114912000*li4half*z2^2 + 1691200*ln2^4*z2^2 + 
    102144000*ln2^2*z2^3 - 151560576*z2^4 - 1102080000*li5half*z3 + 
    9408000*li4half*ln2*z3 + 9497600*ln2^5*z3 - 91644000*ln2^3*z2*z3 - 
    713806800*ln2*z2^2*z3 + 161028000*ln2^2*z3^2 - 727440000*z2*z3^2 + 
    497178500*ln2^3*z5 - 1066390500*ln2*z2*z5 + 715995000*z3*z5 - 
    2903478375*ln2*z7)/9408000, H[-1, 1, -1, 1, -1, 0, 0, 1, 1] -> 
  (-56448000*li8half - 1400*ln2^8 + 179424000*ln2^2*s6 - 88704000*ln2*s7a + 
    193536000*ln2*s7b - 428886675*s8a - 2080512000*s8b - 322560000*s8c - 
    178416000*s8d + 39200*ln2^6*z2 + 677880000*s6*z2 - 
    35683200*li4half*z2^2 - 781200*ln2^4*z2^2 - 49350000*ln2^2*z2^3 + 
    3968472*z2^4 + 356832000*li5half*z3 - 3150000*ln2^5*z3 + 
    36204000*ln2^3*z2*z3 + 249152400*ln2*z2^2*z3 - 64638000*ln2^2*z3^2 + 
    338058000*z2*z3^2 - 271215000*ln2^3*z5 + 411957000*ln2*z2*z5 - 
    681604875*z3*z5 + 976878000*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, -1, 0, 0, 0, 1] -> 
  (-245*ln2^4*z2^2 - 2385*ln2^2*z2^3 - 4701*z2^4 - 1050*ln2^3*z2*z3 - 
    10710*ln2*z2^2*z3 + 6300*ln2^2*z3^2 - 12075*z2*z3^2 + 5600*ln2^3*z5 - 
    32550*ln2*z2*z5 + 52500*z3*z5 + 84000*ln2*z7)/16800, 
 H[-1, 1, -1, 1, -1, 0, 0, -1, 1] -> 
  (17640000*ln2^2*s6 - 7392000*ln2*s7a + 16128000*ln2*s7b - 40646550*s8a - 
    204288000*s8b - 32256000*s8c - 14784000*s8d + 58968000*s6*z2 - 
    2956800*li4half*z2^2 - 135450*ln2^4*z2^2 - 6278300*ln2^2*z2^3 - 
    4073938*z2^4 + 29568000*li5half*z3 - 231700*ln2^5*z3 + 
    2513000*ln2^3*z2*z3 + 23608200*ln2*z2^2*z3 - 2425500*ln2^2*z3^2 + 
    30439500*z2*z3^2 - 19171250*ln2^3*z5 + 38991750*ln2*z2*z5 - 
    42753375*z3*z5 + 128226000*ln2*z7)/2352000, 
 H[-1, 1, -1, 1, -1, 0, -1, 1, 1] -> 
  (-2897664000*li8half - 1204224000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    25088000*li5half*ln2^3 - 1568000*li4half*ln2^4 - 2800*ln2^8 + 
    468720000*ln2^2*s6 - 247296000*ln2*s7a + 317184000*ln2*s7b - 
    994281225*s8a - 6236664000*s8b - 687456000*s8c - 549696000*s8d + 
    225792000*li6half*z2 + 75264000*li5half*ln2*z2 + 
    9408000*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 1840272000*s6*z2 - 
    110880000*li4half*z2^2 - 1582000*ln2^4*z2^2 - 94315200*ln2^2*z2^3 + 
    156280944*z2^4 + 1061760000*li5half*z3 - 9408000*li4half*ln2*z3 - 
    9318400*ln2^5*z3 + 89852000*ln2^3*z2*z3 + 684066600*ln2*z2^2*z3 - 
    167758500*ln2^2*z3^2 + 705001500*z2*z3^2 - 522830000*ln2^3*z5 + 
    1038324000*ln2*z2*z5 - 751708125*z3*z5 + 2676324000*ln2*z7)/9408000, 
 H[-1, 1, -1, 1, -1, 0, -1, 0, 1] -> 
  (90316800*li8half + 45158400*li7half*ln2 + 11289600*li6half*ln2^2 + 
    1881600*li5half*ln2^3 + 235200*li4half*ln2^4 + 3080*ln2^8 - 
    19051200*ln2^2*s6 + 10080000*ln2*s7a - 15321600*ln2*s7b + 41904450*s8a + 
    246758400*s8b + 30643200*s8c + 20160000*s8d - 11760*ln2^6*z2 - 
    69249600*s6*z2 + 4737600*li4half*z2^2 + 116550*ln2^4*z2^2 + 
    4258380*ln2^2*z2^3 - 5085498*z2^4 - 48787200*li5half*z3 - 
    4233600*li4half*ln2*z3 + 253680*ln2^5*z3 - 3213000*ln2^3*z2*z3 - 
    28814940*ln2*z2^2*z3 + 5865300*ln2^2*z3^2 - 31229100*z2*z3^2 + 
    22939350*ln2^3*z5 - 46503450*ln2*z2*z5 + 43755075*z3*z5 - 
    117375300*ln2*z7)/1411200, H[-1, 1, -1, 1, -1, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 + 56448000*li8half - 7056000*li4half*ln2^4 - 
    145600*ln2^8 + 48384000*ln2^2*s6 - 42336000*ln2*s7a - 42336000*ln2*s7b - 
    15901200*s8a - 76608000*s8b - 12096000*s8c - 2016000*s8d - 
    28224000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 1685600*ln2^6*z2 + 
    18144000*s6*z2 + 68745600*li4half*z2^2 - 2780400*ln2^4*z2^2 - 
    30609600*ln2^2*z2^3 - 19769592*z2^4 + 4032000*li5half*z3 - 
    148176000*li4half*ln2*z3 - 5776400*ln2^5*z3 + 33068000*ln2^3*z2*z3 + 
    76767600*ln2*z2^2*z3 - 44751000*ln2^2*z3^2 + 5250000*z2*z3^2 + 
    14259000*ln2^3*z5 + 117873000*ln2*z2*z5 + 14017500*z3*z5 - 
    146136375*ln2*z7)/18816000, H[-1, 1, -1, 1, -1, -1, 1, 1, 1] -> 
  (101606400*li8half + 50803200*li7half*ln2 + 8467200*li6half*ln2^2 + 
    4340*ln2^8 - 29030400*ln2^2*s6 + 7257600*ln2*s7a - 43545600*ln2*s7b + 
    72571275*s8a + 377395200*s8b + 60480000*s8c + 19958400*s8d - 
    8467200*li6half*z2 - 50960*ln2^6*z2 - 88603200*s6*z2 + 
    3991680*li4half*z2^2 + 348600*ln2^4*z2^2 + 4908960*ln2^2*z2^3 - 
    531684*z2^4 - 39916800*li5half*z3 + 467880*ln2^5*z3 - 
    4678800*ln2^3*z2*z3 - 34929720*ln2*z2^2*z3 + 9519300*ln2^2*z3^2 - 
    67806900*z2*z3^2 + 56227500*ln2^3*z5 - 72972900*ln2*z2*z5 + 
    84317625*z3*z5 - 273478275*ln2*z7)/5644800, 
 H[-1, 1, -1, 1, -1, -1, 1, 0, 1] -> 
  (-28224000*li8half - 14112000*li7half*ln2 + 2352000*li5half*ln2^3 + 
    1176000*li4half*ln2^4 + 31500*ln2^8 + 30996000*ln2^2*s6 - 
    17640000*ln2*s7a + 28224000*ln2*s7b - 36412425*s8a - 263844000*s8b - 
    51408000*s8c - 15624000*s8d - 42336000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 245000*ln2^6*z2 + 
    34776000*s6*z2 - 2419200*li4half*z2^2 + 252000*ln2^4*z2^2 - 
    6161400*ln2^2*z2^3 + 484452*z2^4 + 77112000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 157500*ln2^5*z3 + 6132000*ln2^3*z2*z3 + 
    50740200*ln2*z2^2*z3 - 18900000*ln2^2*z3^2 + 72182250*z2*z3^2 - 
    45643500*ln2^3*z5 + 167123250*ln2*z2*z5 - 151168500*z3*z5 + 
    42060375*ln2*z7)/14112000, H[-1, 1, -1, 1, -1, -1, 1, -1, 1] -> 
  (-423360000*li8half - 169344000*li7half*ln2 + 14112000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 51800*ln2^8 + 160272000*ln2^2*s6 - 
    66528000*ln2*s7a + 102816000*ln2*s7b - 230702850*s8a - 1194480000*s8b - 
    187488000*s8c - 130032000*s8d - 42336000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 627200*ln2^6*z2 + 418824000*s6*z2 - 
    23889600*li4half*z2^2 + 739200*ln2^4*z2^2 - 29610000*ln2^2*z2^3 + 
    65502324*z2^4 + 281232000*li5half*z3 + 21168000*li4half*ln2*z3 - 
    1520400*ln2^5*z3 + 18732000*ln2^3*z2*z3 + 169734600*ln2*z2^2*z3 - 
    57235500*ln2^2*z3^2 + 199930500*z2*z3^2 - 226453500*ln2^3*z5 + 
    442354500*ln2*z2*z5 - 505858500*z3*z5 - 51053625*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, -1, -1, 0, 1, 1] -> 
  (42336000*li4half^2 + 1693440000*li8half + 874944000*li7half*ln2 + 
    211680000*li6half*ln2^2 + 32928000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 108500*ln2^8 - 221256000*ln2^2*s6 + 
    198576000*ln2*s7a - 20160000*ln2*s7b + 291716775*s8a + 2584008000*s8b + 
    151200000*s8c + 314496000*s8d - 127008000*li6half*z2 - 
    14112000*li5half*ln2*z2 - 98000*ln2^6*z2 - 935928000*s6*z2 + 
    24796800*li4half*z2^2 - 701400*ln2^4*z2^2 + 63201600*ln2^2*z2^3 - 
    113669676*z2^4 - 632520000*li5half*z3 + 42336000*li4half*ln2*z3 + 
    6888000*ln2^5*z3 - 48300000*ln2^3*z2*z3 - 338045400*ln2*z2^2*z3 + 
    140080500*ln2^2*z3^2 - 108328500*z2*z3^2 + 178311000*ln2^3*z5 - 
    240471000*ln2*z2*z5 + 61267500*z3*z5 - 785988000*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, -1, -1, 0, 0, 1] -> 
  (-56448000*li8half - 56448000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    1512000*ln2^2*s6 + 3024000*ln2*s7a + 10080000*ln2*s7b - 17910900*s8a - 
    110880000*s8b - 10080000*s8c + 3024000*s8d + 42336000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 784000*ln2^6*z2 + 
    22176000*s6*z2 - 38203200*li4half*z2^2 - 4796400*ln2^4*z2^2 + 
    7912800*ln2^2*z2^3 - 12322764*z2^4 + 15120000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 520800*ln2^5*z3 - 1974000*ln2^3*z2*z3 - 
    39286800*ln2*z2^2*z3 + 20853000*ln2^2*z3^2 - 35878500*z2*z3^2 + 
    4263000*ln2^3*z5 - 88011000*ln2*z2*z5 + 193851000*z3*z5 + 
    310582125*ln2*z7)/28224000, H[-1, 1, -1, 1, -1, -1, 0, -1, 1] -> 
  (169344000*li4half^2 + 1608768000*li8half + 705600000*li7half*ln2 + 
    127008000*li6half*ln2^2 + 4704000*li5half*ln2^3 + 
    10584000*li4half*ln2^4 + 184100*ln2^8 - 228816000*ln2^2*s6 + 
    231840000*ln2*s7a + 76608000*ln2*s7b + 210366450*s8a + 1891512000*s8b + 
    36288000*s8c + 344736000*s8d - 84672000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 - 
    911736000*s6*z2 - 72878400*li4half*z2^2 - 861000*ln2^4*z2^2 + 
    76658400*ln2^2*z2^3 - 201562128*z2^4 - 703584000*li5half*z3 + 
    254016000*li4half*ln2*z3 + 15771000*ln2^5*z3 - 108612000*ln2^3*z2*z3 - 
    415056600*ln2*z2^2*z3 + 266616000*ln2^2*z3^2 - 91381500*z2*z3^2 + 
    172578000*ln2^3*z5 - 372487500*ln2*z2*z5 + 591885000*z3*z5 + 
    800596125*ln2*z7)/28224000, H[-1, 1, -1, 1, -1, -1, -1, 1, 1] -> 
  (-649152000*li8half - 366912000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 1176000*li4half*ln2^4 - 32200*ln2^8 + 
    48384000*ln2^2*s6 - 59472000*ln2*s7a + 74592000*ln2*s7b - 154307475*s8a - 
    1008504000*s8b - 48384000*s8c - 128016000*s8d + 84672000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 
    379512000*s6*z2 - 26308800*li4half*z2^2 - 2301600*ln2^4*z2^2 - 
    9198000*ln2^2*z2^3 + 69048324*z2^4 + 241920000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 2986200*ln2^5*z3 + 28686000*ln2^3*z2*z3 + 
    101845800*ln2*z2^2*z3 - 96421500*ln2^2*z3^2 + 103981500*z2*z3^2 - 
    135313500*ln2^3*z5 - 90058500*ln2*z2*z5 - 270876375*z3*z5 + 
    665791875*ln2*z7)/28224000, H[-1, 1, -1, 1, -1, -1, -1, 0, 1] -> 
  (141120000*li8half + 112896000*li7half*ln2 + 42336000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 10500*ln2^8 - 
    70560000*ln2^2*s6 + 52416000*ln2*s7a - 46368000*ln2*s7b + 147391650*s8a + 
    649656000*s8b + 92736000*s8c + 48384000*s8d + 56448000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 196000*ln2^6*z2 - 163800000*s6*z2 + 
    13204800*li4half*z2^2 + 1608600*ln2^4*z2^2 + 13658400*ln2^2*z2^3 - 
    30535776*z2^4 - 195552000*li5half*z3 - 21168000*li4half*ln2*z3 + 
    982800*ln2^5*z3 - 18060000*ln2^3*z2*z3 - 107427600*ln2*z2^2*z3 + 
    45423000*ln2^2*z3^2 - 140112000*z2*z3^2 + 95844000*ln2^3*z5 - 
    224028000*ln2*z2*z5 + 374582250*z3*z5 - 192709125*ln2*z7)/28224000, 
 H[-1, 1, -1, 1, -1, -1, -1, -1, 1] -> 
  (620928000*li8half + 338688000*li7half*ln2 + 70560000*li6half*ln2^2 + 
    4704000*li5half*ln2^3 + 7700*ln2^8 - 40320000*ln2^2*s6 + 
    43344000*ln2*s7a - 20160000*ln2*s7b + 46270350*s8a + 515592000*s8b - 
    6048000*s8c + 111888000*s8d - 70560000*li6half*z2 - 
    14112000*li5half*ln2*z2 - 98000*ln2^6*z2 - 276696000*s6*z2 + 
    22377600*li4half*z2^2 + 1255800*ln2^4*z2^2 + 6955200*ln2^2*z2^3 - 
    85552164*z2^4 - 216720000*li5half*z3 + 2276400*ln2^5*z3 - 
    22764000*ln2^3*z2*z3 - 76419000*ln2*z2^2*z3 + 83254500*ln2^2*z3^2 - 
    22585500*z2*z3^2 + 89743500*ln2^3*z5 + 22900500*ln2*z2*z5 + 
    206561250*z3*z5 + 60897375*ln2*z7)/28224000, 
 H[-1, 1, -1, 0, 1, 1, 1, 1, 1] -> (28224000*li4half^2 + 1016064000*li8half + 
    677376000*li7half*ln2 + 197568000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 + 2352000*li4half*ln2^4 - 21000*ln2^8 + 
    27216000*ln2^2*s6 + 16128000*ln2*s7a - 110880000*ln2*s7b + 
    111355650*s8a + 824544000*s8b + 40320000*s8c + 86688000*s8d - 
    197568000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 300384000*s6*z2 + 
    18748800*li4half*z2^2 - 394800*ln2^4*z2^2 + 302400*ln2^2*z2^3 - 
    58420296*z2^4 - 60480000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    268800*ln2^5*z3 - 336000*ln2^3*z2*z3 + 38782800*ln2*z2^2*z3 + 
    26176500*ln2^2*z3^2 - 69268500*z2*z3^2 + 72618000*ln2^3*z5 + 
    359982000*ln2*z2*z5 - 140364000*z3*z5 - 1245250125*ln2*z7)/56448000, 
 H[-1, 1, -1, 0, 1, 1, 1, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 
    14112000*ln2^2*s6 - 20160000*ln2*s7b + 43783425*s8a + 157248000*s8b + 
    38304000*s8c + 2016000*s8d + 14112000*li6half*z2 + 
    6048000*li5half*ln2*z2 + 1008000*li4half*ln2^2*z2 + 11200*ln2^6*z2 - 
    19656000*s6*z2 + 604800*li4half*z2^2 + 109200*ln2^4*z2^2 + 
    3864000*ln2^2*z2^3 + 173688*z2^4 - 16128000*li5half*z3 - 
    3528000*li4half*ln2*z3 - 12600*ln2^5*z3 - 1722000*ln2^3*z2*z3 - 
    23499000*ln2*z2^2*z3 - 2236500*ln2^2*z3^2 - 42147000*z2*z3^2 + 
    18291000*ln2^3*z5 - 61834500*ln2*z2*z5 + 74363625*z3*z5 - 
    104761125*ln2*z7)/4032000, H[-1, 1, -1, 0, 1, 1, 1, -1, 1] -> 
  (-9765504000*li8half - 2483712000*li7half*ln2 - 310464000*li6half*ln2^2 - 
    47040000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 309400*ln2^8 + 
    1203552000*ln2^2*s6 - 366912000*ln2*s7a + 282240000*ln2*s7b - 
    2759732325*s8a - 18748296000*s8b - 1856736000*s8c - 1713600000*s8d + 
    310464000*li6half*z2 + 141120000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 5292000*ln2^6*z2 + 5304096000*s6*z2 - 
    349776000*li4half*z2^2 + 32701200*ln2^4*z2^2 - 174081600*ln2^2*z2^3 + 
    553540608*z2^4 + 3356640000*li5half*z3 + 49392000*li4half*ln2*z3 - 
    25090800*ln2^5*z3 + 247380000*ln2^3*z2*z3 + 2112226200*ln2*z2^2*z3 - 
    93681000*ln2^2*z3^2 + 1965852000*z2*z3^2 - 587559000*ln2^3*z5 + 
    4596921000*ln2*z2*z5 - 1532813625*z3*z5 + 4065799500*ln2*z7)/56448000, 
 H[-1, 1, -1, 0, 1, 1, 0, 1, 1] -> (-108864000*ln2^2*s6 + 312480000*ln2*s7a + 
    312480000*ln2*s7b - 468543600*s8a - 521136000*s8b - 407232000*s8c + 
    195552000*s8d + 395136000*li6half*z2 + 169344000*li5half*ln2*z2 - 
    862400*ln2^6*z2 - 158256000*s6*z2 + 39110400*li4half*z2^2 + 
    7509600*ln2^4*z2^2 - 9676800*ln2^2*z2^3 - 46241856*z2^4 - 
    496944000*li5half*z3 + 4141200*ln2^5*z3 - 39060000*ln2^3*z2*z3 - 
    56170800*ln2*z2^2*z3 + 209506500*ln2^2*z3^2 + 474106500*z2*z3^2 + 
    26019000*ln2^3*z5 + 51093000*ln2*z2*z5 - 705915000*z3*z5 + 
    1963686375*ln2*z7)/56448000, H[-1, 1, -1, 0, 1, 1, 0, 0, 1] -> 
  (-16800000*ln2*s7a - 35616000*ln2*s7b + 44756775*s8a + 114408000*s8b + 
    43008000*s8c - 5376000*s8d - 8064000*s6*z2 - 1075200*li4half*z2^2 - 
    44800*ln2^4*z2^2 + 1867600*ln2^2*z2^3 + 4491164*z2^4 + 
    31920000*li5half*z3 - 266000*ln2^5*z3 + 1092000*ln2^3*z2*z3 + 
    12054000*ln2*z2^2*z3 - 15214500*ln2^2*z3^2 - 51843750*z2*z3^2 + 
    15974000*ln2^3*z5 - 13156500*ln2*z2*z5 + 36148875*z3*z5 - 
    219906750*ln2*z7)/9408000, H[-1, 1, -1, 0, 1, 1, 0, -1, 1] -> 
  (-42336000*ln2^2*s6 - 86688000*ln2*s7a - 86688000*ln2*s7b + 105789600*s8a + 
    298368000*s8b + 258048000*s8c - 258048000*s8d + 197568000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 431200*ln2^6*z2 + 579600000*s6*z2 - 
    51609600*li4half*z2^2 + 789600*ln2^4*z2^2 - 10483200*ln2^2*z2^3 + 
    173644416*z2^4 + 473760000*li5half*z3 - 3948000*ln2^5*z3 + 
    33012000*ln2^3*z2*z3 + 80967600*ln2*z2^2*z3 - 196465500*ln2^2*z3^2 - 
    163989000*z2*z3^2 - 7791000*ln2^3*z5 - 583443000*ln2*z2*z5 - 
    863887500*z3*z5 - 1298548125*ln2*z7)/56448000, 
 H[-1, 1, -1, 0, 1, 1, -1, 1, 1] -> 
  (3894912000*li8half + 749952000*li7half*ln2 + 20160000*li6half*ln2^2 - 
    1344000*li5half*ln2^3 - 1008000*li4half*ln2^4 - 55000*ln2^8 - 
    713232000*ln2^2*s6 + 196128000*ln2*s7a - 166752000*ln2*s7b + 
    1502909100*s8a + 9416736000*s8b + 1052352000*s8c + 876960000*s8d - 
    20160000*li6half*z2 + 4032000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 
    1338400*ln2^6*z2 - 2727648000*s6*z2 + 174787200*li4half*z2^2 - 
    11734800*ln2^4*z2^2 + 139737600*ln2^2*z2^3 - 244581264*z2^4 - 
    1755936000*li5half*z3 - 6048000*li4half*ln2*z3 + 14557200*ln2^5*z3 - 
    141540000*ln2^3*z2*z3 - 1184893200*ln2*z2^2*z3 + 67752000*ln2^2*z3^2 - 
    1121778000*z2*z3^2 + 356790000*ln2^3*z5 - 2671632000*ln2*z2*z5 + 
    1379920500*z3*z5 - 1463207625*ln2*z7)/8064000, 
 H[-1, 1, -1, 0, 1, 1, -1, 0, 1] -> 
  (-9031680000*li8half - 2709504000*li7half*ln2 - 338688000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 1683360000*ln2^2*s6 - 604800000*ln2*s7a + 
    622944000*ln2*s7b - 3453507225*s8a - 21473928000*s8b - 2453472000*s8c - 
    1921248000*s8d - 98784000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 98000*ln2^6*z2 + 5962824000*s6*z2 - 
    389894400*li4half*z2^2 + 10743600*ln2^4*z2^2 - 337512000*ln2^2*z2^3 + 
    551938944*z2^4 + 4011840000*li5half*z3 + 56448000*li4half*ln2*z3 - 
    31080000*ln2^5*z3 + 318738000*ln2^3*z2*z3 + 2673090000*ln2*z2^2*z3 - 
    288051750*ln2^2*z3^2 + 2629494000*z2*z3^2 - 1185261000*ln2^3*z5 + 
    5580571500*ln2*z2*z5 - 3122429625*z3*z5 + 5487000750*ln2*z7)/28224000, 
 H[-1, 1, -1, 0, 1, 1, -1, -1, 1] -> 
  (-19079424000*li8half - 3443328000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 249200*ln2^8 + 3462480000*ln2^2*s6 - 
    711648000*ln2*s7a + 939456000*ln2*s7b - 7645101975*s8a - 
    46176984000*s8b - 5445216000*s8c - 4108608000*s8d + 
    310464000*li6half*z2 + 28224000*li5half*ln2*z2 - 5801600*ln2^6*z2 + 
    13114080000*s6*z2 - 821721600*li4half*z2^2 + 52315200*ln2^4*z2^2 - 
    698896800*ln2^2*z2^3 + 1175136624*z2^4 + 8203104000*li5half*z3 - 
    69594000*ln2^5*z3 + 687120000*ln2^3*z2*z3 + 5786487000*ln2*z2^2*z3 - 
    163737000*ln2^2*z3^2 + 5818365000*z2*z3^2 - 1613472000*ln2^3*z5 + 
    13566294000*ln2*z2*z5 - 7216342875*z3*z5 + 7383867750*ln2*z7)/56448000, 
 H[-1, 1, -1, 0, 1, 0, 1, 1, 1] -> (-8064000*li4half^2 - 177408000*li8half - 
    112896000*li7half*ln2 - 32256000*li6half*ln2^2 - 5376000*li5half*ln2^3 - 
    1344000*li4half*ln2^4 - 24000*ln2^8 + 7632000*ln2^2*s6 - 
    21744000*ln2*s7a - 2592000*ln2*s7b + 1458450*s8a - 134568000*s8b + 
    12096000*s8c - 25200000*s8d + 32256000*li6half*z2 + 
    16128000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 + 291200*ln2^6*z2 + 
    65016000*s6*z2 - 3427200*li4half*z2^2 - 982800*ln2^4*z2^2 - 
    1040400*ln2^2*z2^3 + 10081692*z2^4 + 52416000*li5half*z3 - 
    2016000*li4half*ln2*z3 - 638400*ln2^5*z3 + 4032000*ln2^3*z2*z3 + 
    12160800*ln2*z2^2*z3 - 17163000*ln2^2*z3^2 - 19215000*z2*z3^2 - 
    13555500*ln2^3*z5 - 44266500*ln2*z2*z5 + 46816875*z3*z5 + 
    75624750*ln2*z7)/4032000, H[-1, 1, -1, 0, 1, 0, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    28224000*ln2^2*s6 + 76608000*ln2*s7a + 189504000*ln2*s7b - 
    242994150*s8a - 866880000*s8b - 266112000*s8c + 40320000*s8d - 
    112896000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 2626400*ln2^6*z2 + 4032000*s6*z2 - 
    69552000*li4half*z2^2 + 5334000*ln2^4*z2^2 + 8782200*ln2^2*z2^3 - 
    24337764*z2^4 - 108864000*li5half*z3 + 141120000*li4half*ln2*z3 + 
    6787200*ln2^5*z3 - 43764000*ln2^3*z2*z3 - 970200*ln2*z2^2*z3 + 
    110250000*ln2^2*z3^2 + 272128500*z2*z3^2 - 95844000*ln2^3*z5 + 
    251811000*ln2*z2*z5 - 125889750*z3*z5 + 1166846625*ln2*z7)/14112000, 
 H[-1, 1, -1, 0, 1, 0, 1, -1, 1] -> (8064000*li4half^2 + 64512000*li8half + 
    28224000*li7half*ln2 + 8064000*li6half*ln2^2 + 1344000*li5half*ln2^3 + 
    672000*li4half*ln2^4 + 10000*ln2^8 + 3924000*ln2^2*s6 + 8172000*ln2*s7a + 
    11448000*ln2*s7b - 13148100*s8a - 20160000*s8c + 12096000*s8d - 
    8064000*li6half*z2 + 3528000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 
    60200*ln2^6*z2 - 22176000*s6*z2 - 3225600*li4half*z2^2 - 
    1029000*ln2^4*z2^2 - 421200*ln2^2*z2^3 - 8219736*z2^4 - 
    27216000*li5half*z3 + 6552000*li4half*ln2*z3 + 529200*ln2^5*z3 - 
    1596000*ln2^3*z2*z3 - 5603400*ln2*z2^2*z3 + 10892250*ln2^2*z3^2 + 
    17309250*z2*z3^2 - 3283875*ln2^3*z5 + 24693750*ln2*z2*z5 - 
    5599125*z3*z5 + 48528000*ln2*z7)/1008000, 
 H[-1, 1, -1, 0, 1, 0, 0, 1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    123984000*ln2^2*s6 - 100800000*ln2*s7a + 40320000*ln2*s7b - 
    192920175*s8a - 977508000*s8b - 116928000*s8c - 115920000*s8d - 
    225792000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 + 256536000*s6*z2 + 
    37497600*li4half*z2^2 - 1377600*ln2^4*z2^2 - 38320800*ln2^2*z2^3 + 
    31890522*z2^4 + 372960000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    5460000*ln2^5*z3 + 41664000*ln2^3*z2*z3 + 208252800*ln2*z2^2*z3 - 
    87727500*ln2^2*z3^2 + 182731500*z2*z3^2 - 140458500*ln2^3*z5 + 
    385150500*ln2*z2*z5 - 536177250*z3*z5 + 130016250*ln2*z7)/14112000, 
 H[-1, 1, -1, 0, 1, 0, 0, 0, 1] -> (-28224000*ln2^2*s6 + 12096000*ln2*s7a - 
    25536000*ln2*s7b + 66048150*s8a + 298368000*s8b + 51072000*s8c + 
    24192000*s8d - 97776000*s6*z2 + 7190400*li4half*z2^2 + 
    299600*ln2^4*z2^2 + 9511600*ln2^2*z2^3 - 3626426*z2^4 - 
    76608000*li5half*z3 - 14112000*li4half*ln2*z3 + 50400*ln2^5*z3 - 
    2856000*ln2^3*z2*z3 - 45864000*ln2*z2^2*z3 + 3087000*ln2^2*z3^2 - 
    46903500*z2*z3^2 + 33516000*ln2^3*z5 - 66664500*ln2*z2*z5 + 
    139828500*z3*z5 - 126259875*ln2*z7)/4704000, 
 H[-1, 1, -1, 0, 1, 0, 0, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 - 
    7056000*ln2^2*s6 - 4032000*ln2*s7a - 24192000*ln2*s7b + 35828100*s8a + 
    145152000*s8b + 32256000*s8c + 8064000*s8d - 16128000*li6half*z2 - 
    8064000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 296800*ln2^6*z2 - 
    50400000*s6*z2 + 13910400*li4half*z2^2 - 260400*ln2^4*z2^2 + 
    1239000*ln2^2*z2^3 - 50304*z2^4 - 4536000*li5half*z3 - 
    20160000*li4half*ln2*z3 - 802200*ln2^5*z3 + 4032000*ln2^3*z2*z3 - 
    4712400*ln2*z2^2*z3 - 8725500*ln2^2*z3^2 - 27058500*z2*z3^2 + 
    16159500*ln2^3*z5 - 4536000*ln2*z2*z5 + 40989375*z3*z5 - 
    121448250*ln2*z7)/2016000, H[-1, 1, -1, 0, 1, 0, -1, 1, 1] -> 
  (-90316800*li4half^2 + 451584000*li8half + 361267200*li7half*ln2 + 
    90316800*li6half*ln2^2 + 15052800*li5half*ln2^3 - 3763200*li4half*ln2^4 - 
    60480*ln2^8 - 144144000*ln2^2*s6 - 180633600*ln2*s7b + 326451825*s8a + 
    1444564800*s8b + 333446400*s8c - 403200*s8d - 90316800*li6half*z2 - 
    129830400*li5half*ln2*z2 - 45158400*li4half*ln2^2*z2 - 1301440*ln2^6*z2 - 
    188294400*s6*z2 + 58625280*li4half*z2^2 + 14343840*ln2^4*z2^2 + 
    27024480*ln2^2*z2^3 + 35430624*z2^4 + 115113600*li5half*z3 - 
    22579200*li4half*ln2*z3 - 1900080*ln2^5*z3 - 16514400*ln2^3*z2*z3 - 
    73581480*ln2*z2^2*z3 - 46361700*ln2^2*z3^2 - 303754500*z2*z3^2 + 
    155526000*ln2^3*z5 - 378970200*ln2*z2*z5 + 9892575*z3*z5 - 
    1348578000*ln2*z7)/11289600, H[-1, 1, -1, 0, 1, 0, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    56448000*ln2^2*s6 + 92736000*ln2*s7a + 92736000*ln2*s7b - 9390150*s8a + 
    76608000*s8b - 72576000*s8c + 72576000*s8d + 112896000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 2077600*ln2^6*z2 - 
    116928000*s6*z2 - 57456000*li4half*z2^2 + 3486000*ln2^4*z2^2 + 
    27682200*ln2^2*z2^3 - 42329844*z2^4 - 363888000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 5384400*ln2^5*z3 - 40908000*ln2^3*z2*z3 - 
    141208200*ln2*z2^2*z3 + 91728000*ln2^2*z3^2 + 35248500*z2*z3^2 + 
    4704000*ln2^3*z5 - 123039000*ln2*z2*z5 + 352233000*z3*z5 + 
    618431625*ln2*z7)/14112000, H[-1, 1, -1, 0, 1, 0, -1, -1, 1] -> 
  (-1693440000*li8half - 903168000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 58800*ln2^8 + 
    216720000*ln2^2*s6 - 133056000*ln2*s7a + 92736000*ln2*s7b - 
    390850425*s8a - 2733192000*s8b - 280224000*s8c - 185472000*s8d + 
    169344000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 627200*ln2^6*z2 + 667296000*s6*z2 - 
    37094400*li4half*z2^2 - 2721600*ln2^4*z2^2 - 36036000*ln2^2*z2^3 + 
    43491312*z2^4 + 332136000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    3355800*ln2^5*z3 + 29148000*ln2^3*z2*z3 + 251672400*ln2*z2^2*z3 - 
    32539500*ln2^2*z3^2 + 262206000*z2*z3^2 - 192864000*ln2^3*z5 + 
    483588000*ln2*z2*z5 + 109383750*z3*z5 + 1495525500*ln2*z7)/28224000, 
 H[-1, 1, -1, 0, 1, -1, 1, 1, 1] -> 
  (-814464000*li8half - 164505600*li7half*ln2 - 9676800*li6half*ln2^2 - 
    268800*li5half*ln2^3 + 201600*li4half*ln2^4 + 9640*ln2^8 + 
    146044800*ln2^2*s6 - 38188800*ln2*s7a + 40435200*ln2*s7b - 
    319446225*s8a - 1967918400*s8b - 222969600*s8c - 182246400*s8d + 
    9676800*li6half*z2 + 806400*li5half*ln2*z2 - 1209600*li4half*ln2^2*z2 - 
    236320*ln2^6*z2 + 570729600*s6*z2 - 36328320*li4half*z2^2 + 
    2373840*ln2^4*z2^2 - 29463840*ln2^2*z2^3 + 51920352*z2^4 + 
    358041600*li5half*z3 + 1209600*li4half*ln2*z3 - 2933280*ln2^5*z3 + 
    28526400*ln2^3*z2*z3 + 243517320*ln2*z2^2*z3 - 11580300*ln2^2*z3^2 + 
    238284900*z2*z3^2 - 75117000*ln2^3*z5 + 544523400*ln2*z2*z5 - 
    294473025*z3*z5 + 345181500*ln2*z7)/1612800, 
 H[-1, 1, -1, 0, 1, -1, 1, 0, 1] -> 
  (1505280000*li8half + 451584000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    3136000*li5half*ln2^3 - 291816000*ln2^2*s6 + 97440000*ln2*s7a - 
    123648000*ln2*s7b + 616259700*s8a + 3714144000*s8b + 438144000*s8c + 
    333312000*s8d - 3528000*li5half*ln2*z2 - 49000*ln2^6*z2 - 
    1046472000*s6*z2 + 66662400*li4half*z2^2 - 1083600*ln2^4*z2^2 + 
    61712000*ln2^2*z2^3 - 95234588*z2^4 - 673680000*li5half*z3 + 
    5614000*ln2^5*z3 - 55748000*ln2^3*z2*z3 - 454469400*ln2*z2^2*z3 + 
    49014000*ln2^2*z3^2 - 473256000*z2*z3^2 + 213003000*ln2^3*z5 - 
    942634875*ln2*z2*z5 + 598148250*z3*z5 - 1014867000*ln2*z7)/2352000, 
 H[-1, 1, -1, 0, 1, -1, 1, -1, 1] -> 
  (18063360000*li8half + 3782016000*li7half*ln2 + 225792000*li6half*ln2^2 + 
    14112000*li5half*ln2^3 - 106400*ln2^8 - 3380832000*ln2^2*s6 + 
    808416000*ln2*s7a - 1054368000*ln2*s7b + 7395116400*s8a + 
    44569728000*s8b + 5257728000*s8c + 3999744000*s8d - 
    225792000*li6half*z2 - 42336000*li5half*ln2*z2 + 4429600*ln2^6*z2 - 
    12684672000*s6*z2 + 799948800*li4half*z2^2 - 45343200*ln2^4*z2^2 + 
    709027200*ln2^2*z2^3 - 1124770176*z2^4 - 7978320000*li5half*z3 + 
    66486000*ln2^5*z3 - 656040000*ln2^3*z2*z3 - 5545159200*ln2*z2^2*z3 + 
    243810000*ln2^2*z3^2 - 5652612000*z2*z3^2 + 1806703500*ln2^3*z5 - 
    12624160500*ln2*z2*z5 + 7157603250*z3*z5 - 8495211375*ln2*z7)/28224000, 
 H[-1, 1, -1, 0, 1, -1, 0, 1, 1] -> 
  (-16128000*li4half^2 - 2257920000*li8half - 1032192000*li7half*ln2 - 
    193536000*li6half*ln2^2 - 21504000*li5half*ln2^3 - 
    4032000*li4half*ln2^4 - 80800*ln2^8 + 460944000*ln2^2*s6 - 
    211968000*ln2*s7a + 336384000*ln2*s7b - 956691225*s8a - 5535432000*s8b - 
    707616000*s8c - 433440000*s8d - 193536000*li6half*z2 - 
    88704000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 + 985600*ln2^6*z2 + 
    1332576000*s6*z2 - 72979200*li4half*z2^2 - 7912800*ln2^4*z2^2 - 
    93866400*ln2^2*z2^3 + 140026464*z2^4 + 930384000*li5half*z3 - 
    24192000*li4half*ln2*z3 - 8761200*ln2^5*z3 + 87948000*ln2^3*z2*z3 + 
    642645000*ln2*z2^2*z3 - 147433500*ln2^2*z3^2 + 805738500*z2*z3^2 - 
    508242000*ln2^3*z5 + 1257192000*ln2*z2*z5 - 900088875*z3*z5 + 
    2648178000*ln2*z7)/8064000, H[-1, 1, -1, 0, 1, -1, 0, 0, 1] -> 
  (-12096000*ln2^2*s6 + 9408000*ln2*s7a - 18816000*ln2*s7b + 33492900*s8a + 
    164976000*s8b + 24192000*s8c + 13440000*s8d - 112896000*li6half*z2 - 
    37632000*li5half*ln2*z2 - 4704000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 
    116256000*s6*z2 + 9744000*li4half*z2^2 - 966000*ln2^4*z2^2 + 
    12833800*ln2^2*z2^3 + 9534524*z2^4 - 18648000*li5half*z3 + 
    4704000*li4half*ln2*z3 + 351400*ln2^5*z3 - 3318000*ln2^3*z2*z3 - 
    21029400*ln2*z2^2*z3 + 8578500*ln2^2*z3^2 - 4252500*z2*z3^2 + 
    23152500*ln2^3*z5 + 36351000*ln2*z2*z5 + 53458125*z3*z5 - 
    99629250*ln2*z7)/4704000, H[-1, 1, -1, 0, 1, -1, 0, -1, 1] -> 
  (-37632000*li4half^2 + 1505280000*li8half + 602112000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 12544000*li5half*ln2^3 - 
    3136000*li4half*ln2^4 - 95200*ln2^8 - 258720000*ln2^2*s6 + 
    123648000*ln2*s7a - 196224000*ln2*s7b + 599058600*s8a + 3658368000*s8b + 
    411264000*s8c + 341376000*s8d - 225792000*li6half*z2 - 
    82320000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1117200*ln2^6*z2 - 
    1190784000*s6*z2 + 99321600*li4half*z2^2 - 1859200*ln2^4*z2^2 + 
    59413200*ln2^2*z2^3 - 85084464*z2^4 - 641592000*li5half*z3 - 
    61152000*li4half*ln2*z3 + 2798600*ln2^5*z3 - 37982000*ln2^3*z2*z3 - 
    385463400*ln2*z2^2*z3 + 69310500*ln2^2*z3^2 - 400984500*z2*z3^2 + 
    288879500*ln2^3*z5 - 523577250*ln2*z2*z5 + 548123625*z3*z5 - 
    1544770500*ln2*z7)/4704000, H[-1, 1, -1, 0, 1, -1, -1, 1, 1] -> 
  (677376000*li8half - 508032000*li7half*ln2 + 65856000*li5half*ln2^3 - 
    431200*ln2^8 - 178416000*ln2^2*s6 - 90720000*ln2*s7a + 
    120960000*ln2*s7b + 504048825*s8a + 2904552000*s8b + 538272000*s8c + 
    139104000*s8d - 28224000*li5half*ln2*z2 + 3136000*ln2^6*z2 - 
    616896000*s6*z2 + 27820800*li4half*z2^2 - 24712800*ln2^4*z2^2 + 
    53272800*ln2^2*z2^3 + 69885792*z2^4 - 306432000*li5half*z3 + 
    1318800*ln2^5*z3 - 13188000*ln2^3*z2*z3 - 433729800*ln2*z2^2*z3 - 
    304857000*ln2^2*z3^2 - 398412000*z2*z3^2 - 319284000*ln2^3*z5 - 
    1962198000*ln2*z2*z5 + 65890125*z3*z5 + 1037988000*ln2*z7)/56448000, 
 H[-1, 1, -1, 0, 1, -1, -1, 0, 1] -> 
  (-6021120000*li8half - 1806336000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    12544000*li5half*ln2^3 + 1167264000*ln2^2*s6 - 360864000*ln2*s7a + 
    532896000*ln2*s7b - 2500904700*s8a - 15078336000*s8b - 1829184000*s8c - 
    1313088000*s8d + 28224000*li5half*ln2*z2 - 9408000*li4half*ln2^2*z2 - 
    313600*ln2^6*z2 + 4183200000*s6*z2 - 266380800*li4half*z2^2 + 
    9049600*ln2^4*z2^2 - 249928000*ln2^2*z2^3 + 347504968*z2^4 + 
    2724960000*li5half*z3 + 37632000*li4half*ln2*z3 - 21140000*ln2^5*z3 + 
    213164000*ln2^3*z2*z3 + 1841868000*ln2*z2^2*z3 - 149824500*ln2^2*z3^2 + 
    1920051000*z2*z3^2 - 860979000*ln2^3*z5 + 3835293000*ln2*z2*z5 - 
    2326821000*z3*z5 + 4372879875*ln2*z7)/18816000, 
 H[-1, 1, -1, 0, 1, -1, -1, -1, 1] -> 
  (-6048000*li4half^2 - 552384000*li8half - 92736000*li7half*ln2 - 
    8064000*li6half*ln2^2 - 3360000*li5half*ln2^3 - 672000*li4half*ln2^4 + 
    4000*ln2^8 + 83016000*ln2^2*s6 - 10944000*ln2*s7a + 5184000*ln2*s7b - 
    185197950*s8a - 1157184000*s8b - 135072000*s8c - 91728000*s8d - 
    4032000*li6half*z2 - 2016000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 - 
    61600*ln2^6*z2 + 287280000*s6*z2 - 13507200*li4half*z2^2 + 
    1915200*ln2^4*z2^2 - 14479200*ln2^2*z2^3 + 26575308*z2^4 + 
    184464000*li5half*z3 - 11592000*li4half*ln2*z3 - 1932000*ln2^5*z3 + 
    16842000*ln2^3*z2*z3 + 145060200*ln2*z2^2*z3 + 9787500*ln2^2*z3^2 + 
    146160000*z2*z3^2 - 12673500*ln2^3*z5 + 404068500*ln2*z2*z5 - 
    113715000*z3*z5 + 132541875*ln2*z7)/4032000, 
 H[-1, 1, -1, 0, 0, 1, 1, 1, 1] -> (28224000*li4half^2 + 338688000*li8half + 
    169344000*li7half*ln2 + 28224000*li6half*ln2^2 + 2352000*li4half*ln2^4 + 
    63000*ln2^8 + 6552000*ln2^2*s6 - 22176000*ln2*s7a + 34272000*ln2*s7b - 
    52197075*s8a - 61992000*s8b - 32256000*s8c - 31248000*s8d - 
    28224000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 744800*ln2^6*z2 + 
    126000000*s6*z2 - 4838400*li4half*z2^2 + 2150400*ln2^4*z2^2 - 
    9004800*ln2^2*z2^3 - 3425892*z2^4 + 27216000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 772800*ln2^5*z3 - 672000*ln2^3*z2*z3 - 
    277200*ln2*z2^2*z3 - 4882500*ln2^2*z3^2 + 25294500*z2*z3^2 - 
    36750000*ln2^3*z5 - 59472000*ln2*z2*z5 - 189496125*z3*z5 + 
    12529125*ln2*z7)/28224000, H[-1, 1, -1, 0, 0, 1, 1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    14112000*ln2^2*s6 + 5040000*ln2*s7a - 23184000*ln2*s7b + 50245650*s8a + 
    233100000*s8b + 32256000*s8c + 24192000*s8d + 14112000*li6half*z2 + 
    7056000*li4half*ln2^2*z2 + 313600*ln2^6*z2 - 92484000*s6*z2 + 
    6249600*li4half*z2^2 - 915600*ln2^4*z2^2 + 5191200*ln2^2*z2^3 - 
    1299276*z2^4 - 48384000*li5half*z3 - 24696000*li4half*ln2*z3 - 
    625800*ln2^5*z3 + 4200000*ln2^3*z2*z3 - 10231200*ln2*z2^2*z3 - 
    7056000*ln2^2*z3^2 - 20664000*z2*z3^2 + 23961000*ln2^3*z5 + 
    13230000*ln2*z2*z5 + 37957500*z3*z5 - 201781125*ln2*z7)/14112000, 
 H[-1, 1, -1, 0, 0, 1, 1, -1, 1] -> 
  (-56448000*li8half - 169344000*li7half*ln2 - 28224000*li6half*ln2^2 + 
    2352000*li4half*ln2^4 + 91000*ln2^8 - 74088000*ln2^2*s6 - 
    22176000*ln2*s7a + 6048000*ln2*s7b + 213077025*s8a + 995904000*s8b + 
    185472000*s8c + 47376000*s8d + 28224000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 1215200*ln2^6*z2 - 207648000*s6*z2 + 
    2419200*li4half*z2^2 + 1453200*ln2^4*z2^2 + 50836800*ln2^2*z2^3 + 
    43343304*z2^4 - 94752000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    2436000*ln2^5*z3 - 37002000*ln2^3*z2*z3 - 149410800*ln2*z2^2*z3 - 
    55786500*ln2^2*z3^2 - 174604500*z2*z3^2 - 58947000*ln2^3*z5 - 
    480249000*ln2*z2*z5 + 149018625*z3*z5 - 273624750*ln2*z7)/28224000, 
 H[-1, 1, -1, 0, 0, 1, 0, 1, 1] -> (-24048000*ln2^2*s6 + 6912000*ln2*s7a - 
    33408000*ln2*s7b + 69506325*s8a + 289296000*s8b + 54432000*s8c + 
    20160000*s8d + 8064000*li6half*z2 + 11200*ln2^6*z2 - 76608000*s6*z2 + 
    4032000*li4half*z2^2 + 6427200*ln2^2*z2^3 - 1100868*z2^4 - 
    40320000*li5half*z3 + 336000*ln2^5*z3 - 4200000*ln2^3*z2*z3 - 
    35818200*ln2*z2^2*z3 + 4828500*ln2^2*z3^2 - 62401500*z2*z3^2 + 
    38199000*ln2^3*z5 - 63207000*ln2*z2*z5 + 119046375*z3*z5 - 
    174476250*ln2*z7)/4032000, H[-1, 1, -1, 0, 0, 1, 0, 0, 1] -> 
  (21168000*ln2^2*s6 - 12096000*ln2*s7a + 16128000*ln2*s7b - 43722525*s8a - 
    212520000*s8b - 32256000*s8c - 24192000*s8d + 82488000*s6*z2 - 
    4838400*li4half*z2^2 - 201600*ln2^4*z2^2 - 7589400*ln2^2*z2^3 + 
    3553381*z2^4 + 48384000*li5half*z3 - 403200*ln2^5*z3 + 
    4032000*ln2^3*z2*z3 + 27386100*ln2*z2^2*z3 - 7607250*ln2^2*z3^2 + 
    32681250*z2*z3^2 - 25137000*ln2^3*z5 + 42299250*ln2*z2*z5 - 
    89775000*z3*z5 + 75140625*ln2*z7)/2352000, 
 H[-1, 1, -1, 0, 0, 1, 0, -1, 1] -> (105840000*ln2^2*s6 - 8064000*ln2*s7a + 
    133056000*ln2*s7b - 278891550*s8a - 1149120000*s8b - 266112000*s8c - 
    16128000*s8d + 14112000*li6half*z2 + 19600*ln2^6*z2 + 228060000*s6*z2 - 
    3225600*li4half*z2^2 - 428400*ln2^4*z2^2 - 35170800*ln2^2*z2^3 - 
    45815388*z2^4 + 32256000*li5half*z3 - 268800*ln2^5*z3 + 
    5334000*ln2^3*z2*z3 + 109897200*ln2*z2^2*z3 + 38587500*ln2^2*z3^2 + 
    227146500*z2*z3^2 - 115468500*ln2^3*z5 + 336042000*ln2*z2*z5 - 
    178809750*z3*z5 + 893206125*ln2*z7)/14112000, 
 H[-1, 1, -1, 0, 0, 1, -1, 1, 1] -> 
  (-282240000*li8half - 14112000*li6half*ln2^2 - 26600*ln2^8 + 
    60228000*ln2^2*s6 + 44352000*ln2*s7a - 96768000*ln2*s7b - 106103025*s8a - 
    635544000*s8b - 106848000*s8c - 41328000*s8d + 14112000*li6half*z2 + 
    509600*ln2^6*z2 + 105588000*s6*z2 - 8265600*li4half*z2^2 + 
    2066400*ln2^4*z2^2 - 35175000*ln2^2*z2^3 - 4635024*z2^4 + 
    82656000*li5half*z3 - 688800*ln2^5*z3 + 25704000*ln2^3*z2*z3 + 
    123177600*ln2*z2^2*z3 + 73552500*ln2^2*z3^2 + 98878500*z2*z3^2 + 
    132300000*ln2^3*z5 + 622440000*ln2*z2*z5 - 32090625*z3*z5 - 
    474547500*ln2*z7)/14112000, H[-1, 1, -1, 0, 0, 1, -1, 0, 1] -> 
  (15523200*ln2^2*s6 - 10080000*ln2*s7a + 9676800*ln2*s7b - 32599350*s8a - 
    180432000*s8b - 19353600*s8c - 25804800*s8d - 1411200*li6half*z2 - 
    1960*ln2^6*z2 + 80010000*s6*z2 - 5160960*li4half*z2^2 + 
    343560*ln2^4*z2^2 - 8046360*ln2^2*z2^3 + 5200704*z2^4 + 
    51609600*li5half*z3 - 430080*ln2^5*z3 + 4300800*ln2^3*z2*z3 + 
    26442360*ln2*z2^2*z3 - 8290800*ln2^2*z3^2 + 22232700*z2*z3^2 - 
    18117750*ln2^3*z5 + 26283600*ln2*z2*z5 - 79255575*z3*z5 + 
    40045950*ln2*z7)/1411200, H[-1, 1, -1, 0, 0, 1, -1, -1, 1] -> 
  (84672000*li4half^2 - 282240000*li8half + 28224000*li6half*ln2^2 + 
    9408000*li4half*ln2^4 + 277200*ln2^8 - 8568000*ln2^2*s6 - 
    6048000*ln2*s7a + 191520000*ln2*s7b - 167361075*s8a - 860328000*s8b - 
    133056000*s8c - 29232000*s8d + 84672000*li6half*z2 - 
    56448000*li4half*ln2^2*z2 - 3214400*ln2^6*z2 + 248976000*s6*z2 - 
    73584000*li4half*z2^2 + 6400800*ln2^4*z2^2 + 40336800*ln2^2*z2^3 + 
    2471268*z2^4 + 58464000*li5half*z3 + 162288000*li4half*ln2*z3 + 
    6274800*ln2^5*z3 - 53046000*ln2^3*z2*z3 - 29408400*ln2*z2^2*z3 + 
    35626500*ln2^2*z3^2 + 93397500*z2*z3^2 - 159789000*ln2^3*z5 - 
    264411000*ln2*z2*z5 - 11127375*z3*z5 + 1200386250*ln2*z7)/28224000, 
 H[-1, 1, -1, 0, 0, 0, 1, 1, 1] -> (9408000*ln2^2*s6 + 6048000*ln2*s7a + 
    17808000*ln2*s7b - 31457475*s8a - 120708000*s8b - 30912000*s8c + 
    336000*s8d + 14616000*s6*z2 + 67200*li4half*z2^2 + 2800*ln2^4*z2^2 - 
    2441600*ln2^2*z2^3 - 3392266*z2^4 - 672000*li5half*z3 + 5600*ln2^5*z3 + 
    728000*ln2^3*z2*z3 + 11377800*ln2*z2^2*z3 + 3601500*ln2^2*z3^2 + 
    36928500*z2*z3^2 - 14479500*ln2^3*z5 + 49318500*ln2*z2*z5 - 
    51213750*z3*z5 + 101188500*ln2*z7)/4704000, 
 H[-1, 1, -1, 0, 0, 0, 1, 0, 1] -> (-28224000*ln2^2*s6 + 12096000*ln2*s7a - 
    25536000*ln2*s7b + 52876950*s8a + 265440000*s8b + 51072000*s8c + 
    24192000*s8d - 86016000*s6*z2 + 4838400*li4half*z2^2 + 
    201600*ln2^4*z2^2 + 8766800*ln2^2*z2^3 - 909978*z2^4 - 
    48384000*li5half*z3 + 403200*ln2^5*z3 - 4032000*ln2^3*z2*z3 - 
    33721800*ln2*z2^2*z3 + 6174000*ln2^2*z3^2 - 53959500*z2*z3^2 + 
    33516000*ln2^3*z5 - 83937000*ln2*z2*z5 + 120534750*z3*z5 - 
    93846375*ln2*z7)/4704000, H[-1, 1, -1, 0, 0, 0, 1, -1, 1] -> 
  (-45360000*ln2^2*s6 + 11760000*ln2*s7a - 31752000*ln2*s7b + 91123200*s8a + 
    425208000*s8b + 76608000*s8c + 36288000*s8d - 133728000*s6*z2 + 
    7257600*li4half*z2^2 + 8400*ln2^4*z2^2 + 17411800*ln2^2*z2^3 + 
    589202*z2^4 - 72576000*li5half*z3 + 604800*ln2^5*z3 - 
    7518000*ln2^3*z2*z3 - 57890700*ln2*z2^2*z3 + 2714250*ln2^2*z3^2 - 
    76308750*z2*z3^2 + 42936250*ln2^3*z5 - 144159750*ln2*z2*z5 + 
    153037500*z3*z5 - 127063125*ln2*z7)/2352000, 
 H[-1, 1, -1, 0, 0, 0, 0, 1, 1] -> (160*ln2^2*s6 - 320*s8c + 160*s6*z2 - 
    56*ln2^2*z2^3 + 82*ln2*z2^2*z3 + 90*ln2^2*z3^2 + 50*ln2^3*z5 + 
    170*ln2*z2*z5 + 75*z3*z5 - 630*ln2*z7)/320, 
 H[-1, 1, -1, 0, 0, 0, 0, 0, 1] -> 
  (1240*ln2^2*z2^3 + 4366*z2^4 + 2940*ln2*z2^2*z3 + 1575*z2*z3^2 + 
    5250*ln2*z2*z5 - 27300*z3*z5 - 33600*ln2*z7)/11200, 
 H[-1, 1, -1, 0, 0, 0, 0, -1, 1] -> 
  (96075*s8a + 1176000*s8b + 9800*ln2^2*z2^3 + 183017*z2^4 - 
    28700*ln2*z2^2*z3 - 15750*ln2^2*z3^2 - 26250*z2*z3^2 - 17500*ln2^3*z5 - 
    59500*ln2*z2*z5 - 749875*z3*z5 - 2113125*ln2*z7)/112000, 
 H[-1, 1, -1, 0, 0, 0, -1, 1, 1] -> (15792000*ln2^2*s6 - 4838400*ln2*s7a + 
    10214400*ln2*s7b - 32109525*s8a - 157718400*s8b - 25670400*s8c - 
    14784000*s8d + 51676800*s6*z2 - 2956800*li4half*z2^2 - 5600*ln2^4*z2^2 - 
    6505520*ln2^2*z2^3 - 134296*z2^4 + 29568000*li5half*z3 - 
    246400*ln2^5*z3 + 3110800*ln2^3*z2*z3 + 21439320*ln2*z2^2*z3 - 
    2129400*ln2^2*z3^2 + 26426400*z2*z3^2 - 14268800*ln2^3*z5 + 
    48241200*ln2*z2*z5 - 55402725*z3*z5 + 50062950*ln2*z7)/940800, 
 H[-1, 1, -1, 0, 0, 0, -1, 0, 1] -> (-5644800*ln2^2*s6 + 2419200*ln2*s7a - 
    5107200*ln2*s7b + 11116350*s8a + 53088000*s8b + 10214400*s8c + 
    4838400*s8d - 17203200*s6*z2 + 967680*li4half*z2^2 + 40320*ln2^4*z2^2 + 
    1794800*ln2^2*z2^3 + 23166*z2^4 - 9676800*li5half*z3 + 80640*ln2^5*z3 - 
    806400*ln2^3*z2*z3 - 6814920*ln2*z2^2*z3 + 1146600*ln2^2*z3^2 - 
    9821700*z2*z3^2 + 6664000*ln2^3*z5 - 14023800*ln2*z2*z5 + 
    20578950*z3*z5 - 23186625*ln2*z7)/940800, 
 H[-1, 1, -1, 0, 0, 0, -1, -1, 1] -> 
  (-12432000*ln2^2*s6 - 10752000*ln2*s7a - 10752000*ln2*s7b + 38195325*s8a + 
    119616000*s8b + 46368000*s8c - 22848000*s8d + 22176000*s6*z2 - 
    4569600*li4half*z2^2 - 190400*ln2^4*z2^2 + 5213600*ln2^2*z2^3 + 
    17770432*z2^4 + 45696000*li5half*z3 - 380800*ln2^5*z3 + 
    3024000*ln2^3*z2*z3 - 3045000*ln2*z2^2*z3 - 28339500*ln2^2*z3^2 - 
    32718000*z2*z3^2 - 6174000*ln2^3*z5 - 88998000*ln2*z2*z5 - 
    48717375*z3*z5 - 148081500*ln2*z7)/9408000, 
 H[-1, 1, -1, 0, 0, -1, 1, 1, 1] -> 
  (-564480000*li8half - 451584000*li7half*ln2 - 4704000*li4half*ln2^4 - 
    120400*ln2^8 + 128016000*ln2^2*s6 - 88704000*ln2*s7a + 
    419328000*ln2*s7b - 251765325*s8a - 1355256000*s8b - 219744000*s8c - 
    20160000*s8d + 28224000*li4half*ln2^2*z2 + 862400*ln2^6*z2 + 
    230832000*s6*z2 - 6854400*li4half*z2^2 - 14985600*ln2^4*z2^2 + 
    10953600*ln2^2*z2^3 + 17948208*z2^4 + 181440000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 2688000*ln2^5*z3 - 4872000*ln2^3*z2*z3 + 
    16871400*ln2*z2^2*z3 - 165091500*ln2^2*z3^2 + 308794500*z2*z3^2 - 
    555366000*ln2^3*z5 - 398790000*ln2*z2*z5 - 466916625*z3*z5 + 
    2634817500*ln2*z7)/56448000, H[-1, 1, -1, 0, 0, -1, 1, 0, 1] -> 
  (-1034880*ln2^2*s6 + 672000*ln2*s7a - 645120*ln2*s7b + 1985130*s8a + 
    12028800*s8b + 1290240*s8c + 1720320*s8d - 5228160*s6*z2 + 
    344064*li4half*z2^2 - 20944*ln2^4*z2^2 + 551292*ln2^2*z2^3 - 
    259152*z2^4 - 3440640*li5half*z3 + 28672*ln2^5*z3 - 286720*ln2^3*z2*z3 - 
    1715784*ln2*z2^2*z3 + 552720*ln2^2*z3^2 - 1496880*z2*z3^2 + 
    1192170*ln2^3*z5 - 2116800*ln2*z2*z5 + 5142585*z3*z5 - 2716770*ln2*z7)/
   94080, H[-1, 1, -1, 0, 0, -1, 1, -1, 1] -> 
  (3225600*li7half*ln2 - 640*ln2^8 - 662400*ln2^2*s6 + 1670400*ln2*s7a - 
    3168000*ln2*s7b + 13440*ln2^6*z2 - 1008000*s6*z2 + 77280*ln2^4*z2^2 - 
    367680*ln2^2*z2^3 - 214296*z2^4 + 571200*ln2^3*z2*z3 + 
    1150200*ln2*z2^2*z3 + 1735200*ln2^2*z3^2 + 302400*z2*z3^2 + 
    4813200*ln2^3*z5 + 9079200*ln2*z2*z5 + 189000*z3*z5 - 15777675*ln2*z7)/
   403200, H[-1, 1, -1, 0, 0, -1, 0, 1, 1] -> 
  (-49392000*ln2^2*s6 + 5376000*ln2*s7a - 88704000*ln2*s7b + 157847025*s8a + 
    653184000*s8b + 135072000*s8c + 29568000*s8d - 117936000*s6*z2 + 
    5913600*li4half*z2^2 + 246400*ln2^4*z2^2 + 14033600*ln2^2*z2^3 + 
    14029724*z2^4 - 59136000*li5half*z3 + 492800*ln2^5*z3 - 
    8456000*ln2^3*z2*z3 - 68707800*ln2*z2^2*z3 + 4336500*ln2^2*z3^2 - 
    166057500*z2*z3^2 + 90111000*ln2^3*z5 - 225351000*ln2*z2*z5 + 
    257845875*z3*z5 - 479267250*ln2*z7)/9408000, 
 H[-1, 1, -1, 0, 0, -1, 0, 0, 1] -> (21168000*ln2^2*s6 - 12096000*ln2*s7a + 
    16128000*ln2*s7b - 41664525*s8a - 212520000*s8b - 32256000*s8c - 
    24192000*s8d + 82488000*s6*z2 - 4838400*li4half*z2^2 - 
    201600*ln2^4*z2^2 - 7417200*ln2^2*z2^3 + 4019861*z2^4 + 
    48384000*li5half*z3 - 403200*ln2^5*z3 + 4032000*ln2^3*z2*z3 + 
    29414700*ln2*z2^2*z3 - 8268750*ln2^2*z3^2 + 34518750*z2*z3^2 - 
    24990000*ln2^3*z5 + 43328250*ln2*z2*z5 - 97639500*z3*z5 + 
    66669750*ln2*z7)/2352000, H[-1, 1, -1, 0, 0, -1, 0, -1, 1] -> 
  (35280000*ln2^2*s6 - 8064000*ln2*s7a + 38976000*ln2*s7b - 87100650*s8a - 
    321216000*s8b - 77952000*s8c - 16128000*s8d + 102816000*s6*z2 - 
    3225600*li4half*z2^2 - 134400*ln2^4*z2^2 - 11599000*ln2^2*z2^3 + 
    3458396*z2^4 + 32256000*li5half*z3 - 268800*ln2^5*z3 + 
    3178000*ln2^3*z2*z3 + 41806800*ln2*z2^2*z3 + 4924500*ln2^2*z3^2 + 
    66034500*z2*z3^2 - 38979500*ln2^3*z5 + 76440000*ln2*z2*z5 - 
    126404250*z3*z5 + 136119375*ln2*z7)/4704000, 
 H[-1, 1, -1, 0, 0, -1, -1, 1, 1] -> 
  (248371200*li8half - 22579200*li7half*ln2 - 940800*li4half*ln2^4 - 
    28560*ln2^8 - 55440000*ln2^2*s6 - 6854400*ln2*s7a + 1612800*ln2*s7b + 
    173248425*s8a + 892785600*s8b + 107654400*s8c + 92736000*s8d + 
    11289600*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 109760*ln2^6*z2 - 
    277200000*s6*z2 + 17982720*li4half*z2^2 - 2849280*ln2^4*z2^2 + 
    18090240*ln2^2*z2^3 - 29772024*z2^4 - 193939200*li5half*z3 - 
    5644800*li4half*ln2*z3 + 1545600*ln2^5*z3 - 24628800*ln2^3*z2*z3 - 
    136737720*ln2*z2^2*z3 + 1165500*ln2^2*z3^2 - 143583300*z2*z3^2 + 
    4439400*ln2^3*z5 - 341283600*ln2*z2*z5 + 316034775*z3*z5 + 
    37658250*ln2*z7)/11289600, H[-1, 1, -1, 0, 0, -1, -1, 0, 1] -> 
  (18816000*ln2^2*s6 - 12768000*ln2*s7a + 6048000*ln2*s7b - 43482075*s8a - 
    155400000*s8b - 21504000*s8c - 16128000*s8d + 51072000*s6*z2 - 
    3225600*li4half*z2^2 - 134400*ln2^4*z2^2 - 6073200*ln2^2*z2^3 + 
    7926468*z2^4 + 48720000*li5half*z3 - 406000*ln2^5*z3 + 
    5432000*ln2^3*z2*z3 + 31046400*ln2*z2^2*z3 - 11686500*ln2^2*z3^2 + 
    43029000*z2*z3^2 - 17444000*ln2^3*z5 + 73500000*ln2*z2*z5 - 
    142096500*z3*z5 - 12754875*ln2*z7)/9408000, 
 H[-1, 1, -1, 0, 0, -1, -1, -1, 1] -> 
  (45158400*li8half + 11289600*li7half*ln2 - 1120*ln2^8 + 7862400*ln2^2*s6 + 
    3830400*ln2*s7a + 16531200*ln2*s7b - 22196475*s8a - 33566400*s8b - 
    23385600*s8c - 604800*s8d - 11289600*li6half*z2 - 
    5644800*li5half*ln2*z2 + 47040*ln2^6*z2 + 12499200*s6*z2 - 
    120960*li4half*z2^2 - 240240*ln2^4*z2^2 - 3601920*ln2^2*z2^3 + 
    2742492*z2^4 + 4032000*li5half*z3 - 115920*ln2^5*z3 + 
    1629600*ln2^3*z2*z3 + 9228240*ln2*z2^2*z3 - 302400*ln2^2*z3^2 + 
    22302000*z2*z3^2 - 15890700*ln2^3*z5 + 19656000*ln2*z2*z5 - 
    66431925*z3*z5 + 12651975*ln2*z7)/5644800, 
 H[-1, 1, -1, 0, -1, 1, 1, 1, 1] -> 
  (230630400*li8half + 30643200*li7half*ln2 - 1612800*li6half*ln2^2 - 
    537600*li5half*ln2^3 - 67200*li4half*ln2^4 - 920*ln2^8 - 
    32198400*ln2^2*s6 - 57600*ln2*s7a - 4896000*ln2*s7b + 79137450*s8a + 
    485654400*s8b + 56448000*s8c + 40723200*s8d + 1612800*li6half*z2 + 
    1612800*li5half*ln2*z2 + 403200*li4half*ln2^2*z2 + 45920*ln2^6*z2 - 
    126000000*s6*z2 + 8104320*li4half*z2^2 - 828240*ln2^4*z2^2 + 
    4851360*ln2^2*z2^3 - 14013504*z2^4 - 80236800*li5half*z3 - 
    403200*li4half*ln2*z3 + 687120*ln2^5*z3 - 6602400*ln2^3*z2*z3 - 
    58865760*ln2*z2^2*z3 - 4601700*ln2^2*z3^2 - 63510300*z2*z3^2 + 
    6258000*ln2^3*z5 - 159523200*ln2*z2*z5 + 63696150*z3*z5 - 
    55352475*ln2*z7)/1612800, H[-1, 1, -1, 0, -1, 1, 1, 0, 1] -> 
  (-1505280000*li8half - 451584000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    3136000*li5half*ln2^3 + 303072000*ln2^2*s6 - 99120000*ln2*s7a + 
    124320000*ln2*s7b - 626350725*s8a - 3757824000*s8b - 450240000*s8c - 
    335328000*s8d - 14112000*li6half*z2 + 2352000*li4half*ln2^2*z2 + 
    156800*ln2^6*z2 + 1043448000*s6*z2 - 66124800*li4half*z2^2 - 
    70000*ln2^4*z2^2 - 65202200*ln2^2*z2^3 + 96279944*z2^4 + 
    684768000*li5half*z3 - 9408000*li4half*ln2*z3 - 6098400*ln2^5*z3 + 
    60396000*ln2^3*z2*z3 + 468745200*ln2*z2^2*z3 - 55697250*ln2^2*z3^2 + 
    496072500*z2*z3^2 - 215771500*ln2^3*z5 + 996702000*ln2*z2*z5 - 
    645227625*z3*z5 + 995856750*ln2*z7)/4704000, 
 H[-1, 1, -1, 0, -1, 1, 1, -1, 1] -> 
  (338688000*li8half + 366912000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 103600*ln2^8 - 26208000*ln2^2*s6 + 
    77616000*ln2*s7a - 98784000*ln2*s7b + 120057525*s8a + 869400000*s8b + 
    66528000*s8c + 60480000*s8d - 84672000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 1450400*ln2^6*z2 - 269136000*s6*z2 + 
    12096000*li4half*z2^2 - 1260000*ln2^4*z2^2 + 14565600*ln2^2*z2^3 + 
    14070384*z2^4 - 92736000*li5half*z3 + 155400*ln2^5*z3 - 
    1554000*ln2^3*z2*z3 - 48988800*ln2*z2^2*z3 + 51282000*ln2^2*z3^2 - 
    37989000*z2*z3^2 + 106942500*ln2^3*z5 + 287941500*ln2*z2*z5 - 
    121692375*z3*z5 - 1312801875*ln2*z7)/28224000, 
 H[-1, 1, -1, 0, -1, 1, 0, 1, 1] -> 
  (28224000*li4half^2 + 3951360000*li8half + 1806336000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 141400*ln2^8 - 816480000*ln2^2*s6 + 
    427392000*ln2*s7a - 532224000*ln2*s7b + 1599492825*s8a + 9621864000*s8b + 
    1145088000*s8c + 830592000*s8d + 254016000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 1489600*ln2^6*z2 - 
    2550240000*s6*z2 + 142128000*li4half*z2^2 + 12684000*ln2^4*z2^2 + 
    167126400*ln2^2*z2^3 - 265119228*z2^4 - 1745856000*li5half*z3 + 
    42336000*li4half*ln2*z3 + 16312800*ln2^5*z3 - 155778000*ln2^3*z2*z3 - 
    1139405400*ln2*z2^2*z3 + 304195500*ln2^2*z3^2 - 1268505000*z2*z3^2 + 
    892363500*ln2^3*z5 - 1946164500*ln2*z2*z5 + 1507078125*z3*z5 - 
    4267840500*ln2*z7)/14112000, H[-1, 1, -1, 0, -1, 1, 0, 0, 1] -> 
  (6048000*ln2^2*s6 - 4704000*ln2*s7a + 9408000*ln2*s7b - 15982050*s8a - 
    82488000*s8b - 12096000*s8c - 6720000*s8d + 56448000*li6half*z2 + 
    18816000*li5half*ln2*z2 + 2352000*li4half*ln2^2*z2 + 19600*ln2^6*z2 + 
    58128000*s6*z2 - 4872000*li4half*z2^2 + 483000*ln2^4*z2^2 - 
    6157900*ln2^2*z2^3 - 6082478*z2^4 + 4032000*li5half*z3 - 
    2352000*li4half*ln2*z3 - 131600*ln2^5*z3 + 1071000*ln2^3*z2*z3 + 
    6207600*ln2*z2^2*z3 - 2084250*ln2^2*z3^2 - 1475250*z2*z3^2 - 
    11968250*ln2^3*z5 - 15529500*ln2*z2*z5 - 7830375*z3*z5 + 53011875*ln2*z7)/
   2352000, H[-1, 1, -1, 0, -1, 1, 0, -1, 1] -> 
  (3763200*li4half^2 - 150528000*li8half - 60211200*li7half*ln2 - 
    11289600*li6half*ln2^2 - 1254400*li5half*ln2^3 + 313600*li4half*ln2^4 + 
    9520*ln2^8 + 25872000*ln2^2*s6 - 10483200*ln2*s7a + 21504000*ln2*s7b - 
    61790400*s8a - 367718400*s8b - 44889600*s8c - 30374400*s8d + 
    21168000*li6half*z2 + 7526400*li5half*ln2*z2 - 1411200*li4half*ln2^2*z2 - 
    107800*ln2^6*z2 + 110140800*s6*z2 - 9179520*li4half*z2^2 + 
    187880*ln2^4*z2^2 - 5688480*ln2^2*z2^3 + 6376728*z2^4 + 
    56985600*li5half*z3 + 6115200*li4half*ln2*z3 - 220080*ln2^5*z3 + 
    3347400*ln2^3*z2*z3 + 37120440*ln2*z2^2*z3 - 4240950*ln2^2*z3^2 + 
    43372875*z2*z3^2 - 28985950*ln2^3*z5 + 60894750*ln2*z2*z5 - 
    47159175*z3*z5 + 172249350*ln2*z7)/470400, 
 H[-1, 1, -1, 0, -1, 1, -1, 1, 1] -> 
  (-4515840000*li8half - 903168000*li7half*ln2 - 35280000*li6half*ln2^2 + 
    18200*ln2^8 + 849744000*ln2^2*s6 - 185472000*ln2*s7a + 
    237888000*ln2*s7b - 1848779100*s8a - 11142432000*s8b - 1314432000*s8c - 
    999936000*s8d + 35280000*li6half*z2 - 1019200*ln2^6*z2 + 
    3150000000*s6*z2 - 199987200*li4half*z2^2 + 10894800*ln2^4*z2^2 - 
    181767600*ln2^2*z2^3 + 281167344*z2^4 + 1999872000*li5half*z3 - 
    16665600*ln2^5*z3 + 164451000*ln2^3*z2*z3 + 1395664200*ln2*z2^2*z3 - 
    46942875*ln2^2*z3^2 + 1419933375*z2*z3^2 - 411306000*ln2^3*z5 + 
    3234798000*ln2*z2*z5 - 1790365500*z3*z5 + 2007243000*ln2*z7)/7056000, 
 H[-1, 1, -1, 0, -1, 1, -1, 0, 1] -> 
  (1505280000*li8half + 451584000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    3136000*li5half*ln2^3 - 291816000*ln2^2*s6 + 97440000*ln2*s7a - 
    123648000*ln2*s7b + 616259700*s8a + 3714144000*s8b + 438144000*s8c + 
    333312000*s8d + 7056000*li6half*z2 - 68600*ln2^6*z2 - 1039416000*s6*z2 + 
    66662400*li4half*z2^2 - 936600*ln2^4*z2^2 + 62175400*ln2^2*z2^3 - 
    95851708*z2^4 - 680736000*li5half*z3 + 5672800*ln2^5*z3 - 
    56532000*ln2^3*z2*z3 - 457233000*ln2*z2^2*z3 + 50778000*ln2^2*z3^2 - 
    477574125*z2*z3^2 + 212317000*ln2^3*z5 - 947688000*ln2*z2*z5 + 
    611341500*z3*z5 - 1023540000*ln2*z7)/2352000, 
 H[-1, 1, -1, 0, -1, 1, -1, -1, 1] -> 
  (254016000*li4half^2 + 27941760000*li8half + 5419008000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 + 431200*ln2^8 - 5428080000*ln2^2*s6 + 
    1366848000*ln2*s7a - 1130976000*ln2*s7b + 11249544600*s8a + 
    68856480000*s8b + 7826112000*s8c + 6441120000*s8d - 
    338688000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 548800*ln2^6*z2 - 20037024000*s6*z2 + 
    1085011200*li4half*z2^2 - 48518400*ln2^4*z2^2 + 1214992800*ln2^2*z2^3 - 
    1800451224*z2^4 - 12854016000*li5half*z3 + 486864000*li4half*ln2*z3 + 
    127402800*ln2^5*z3 - 1169952000*ln2^3*z2*z3 - 8948646000*ln2*z2^2*z3 + 
    645057000*ln2^2*z3^2 - 8544690000*z2*z3^2 + 2470188000*ln2^3*z5 - 
    20229300000*ln2*z2*z5 + 11435854500*z3*z5 - 9911939625*ln2*z7)/56448000, 
 H[-1, 1, -1, 0, -1, 0, 1, 1, 1] -> 
  (-112896000*li4half^2 - 2483712000*li8half - 1580544000*li7half*ln2 - 
    451584000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 336000*ln2^8 + 289296000*ln2^2*s6 - 
    104832000*ln2*s7a + 374976000*ln2*s7b - 739190025*s8a - 4231080000*s8b - 
    594720000*s8c - 195552000*s8d + 451584000*li6half*z2 + 
    225792000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    4076800*ln2^6*z2 + 899136000*s6*z2 - 16531200*li4half*z2^2 - 
    12448800*ln2^4*z2^2 - 64663200*ln2^2*z2^3 + 40249296*z2^4 + 
    588672000*li5half*z3 - 28224000*li4half*ln2*z3 - 7728000*ln2^5*z3 + 
    66108000*ln2^3*z2*z3 + 443028600*ln2*z2^2*z3 - 108265500*ln2^2*z3^2 + 
    629716500*z2*z3^2 - 443646000*ln2^3*z5 + 604170000*ln2*z2*z5 - 
    535996125*z3*z5 + 3434712750*ln2*z7)/56448000, 
 H[-1, 1, -1, 0, -1, 0, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    56448000*ln2^2*s6 + 20160000*ln2*s7a + 20160000*ln2*s7b + 22311450*s8a - 
    76608000*s8b + 72576000*s8c - 72576000*s8d - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 70560000*li4half*ln2^2*z2 - 2626400*ln2^6*z2 + 
    116928000*s6*z2 - 92131200*li4half*z2^2 + 4393200*ln2^4*z2^2 + 
    25968600*ln2^2*z2^3 + 53013132*z2^4 + 32256000*li5half*z3 + 
    141120000*li4half*ln2*z3 + 5611200*ln2^5*z3 - 38472000*ln2^3*z2*z3 - 
    87053400*ln2*z2^2*z3 + 26901000*ln2^2*z3^2 - 53770500*z2*z3^2 + 
    4704000*ln2^3*z5 - 290619000*ln2*z2*z5 + 82703250*z3*z5 + 
    264119625*ln2*z7)/14112000, H[-1, 1, -1, 0, -1, 0, 1, -1, 1] -> 
  (32256000*li4half^2 + 258048000*li8half + 112896000*li7half*ln2 + 
    32256000*li6half*ln2^2 + 5376000*li5half*ln2^3 + 2688000*li4half*ln2^4 + 
    40000*ln2^8 - 69120000*ln2^2*s6 + 28800000*ln2*s7a - 37728000*ln2*s7b + 
    136407600*s8a + 709632000*s8b + 112896000*s8c + 48384000*s8d - 
    32256000*li6half*z2 + 32256000*li5half*ln2*z2 + 
    8064000*li4half*ln2^2*z2 + 89600*ln2^6*z2 - 193536000*s6*z2 - 
    12902400*li4half*z2^2 - 2352000*ln2^4*z2^2 + 28058400*ln2^2*z2^3 - 
    6215904*z2^4 - 120960000*li5half*z3 + 26208000*li4half*ln2*z3 + 
    2217600*ln2^5*z3 - 17808000*ln2^3*z2*z3 - 104367600*ln2*z2^2*z3 + 
    15273000*ln2^2*z3^2 - 108927000*z2*z3^2 + 66192000*ln2^3*z5 - 
    277128000*ln2*z2*z5 + 164020500*z3*z5 - 192025125*ln2*z7)/4032000, 
 H[-1, 1, -1, 0, -1, 0, 0, 1, 1] -> 
  (-24192000*li4half^2 - 2016000*li4half*ln2^4 - 42000*ln2^8 + 
    41328000*ln2^2*s6 - 24192000*ln2*s7a + 16128000*ln2*s7b - 59939775*s8a - 
    274176000*s8b - 54432000*s8c - 16128000*s8d - 64512000*li6half*z2 - 
    32256000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 347200*ln2^6*z2 + 
    41328000*s6*z2 + 14112000*li4half*z2^2 - 252000*ln2^4*z2^2 - 
    11608800*ln2^2*z2^3 - 374964*z2^4 + 84672000*li5half*z3 - 
    16128000*li4half*ln2*z3 - 1377600*ln2^5*z3 + 10500000*ln2^3*z2*z3 + 
    62659800*ln2*z2^2*z3 - 15088500*ln2^2*z3^2 + 60007500*z2*z3^2 - 
    39291000*ln2^3*z5 + 143955000*ln2*z2*z5 - 119093625*z3*z5 + 
    61897500*ln2*z7)/4032000, H[-1, 1, -1, 0, -1, 0, 0, 0, 1] -> 
  (-28224000*ln2^2*s6 + 12096000*ln2*s7a - 25536000*ln2*s7b + 62402550*s8a + 
    298368000*s8b + 51072000*s8c + 24192000*s8d - 97776000*s6*z2 + 
    7190400*li4half*z2^2 + 299600*ln2^4*z2^2 + 9699200*ln2^2*z2^3 + 
    1274918*z2^4 - 76608000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    50400*ln2^5*z3 - 2856000*ln2^3*z2*z3 - 39807600*ln2*z2^2*z3 + 
    2646000*ln2^2*z3^2 - 43228500*z2*z3^2 + 33320000*ln2^3*z5 - 
    64606500*ln2*z2*z5 + 106900500*z3*z5 - 148861125*ln2*z7)/4704000, 
 H[-1, 1, -1, 0, -1, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    24696000*ln2^2*s6 - 6048000*ln2*s7a - 76608000*ln2*s7b + 121939650*s8a + 
    612864000*s8b + 96768000*s8c + 44352000*s8d - 56448000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 1038800*ln2^6*z2 - 
    208656000*s6*z2 + 51912000*li4half*z2^2 - 777000*ln2^4*z2^2 + 
    5604900*ln2^2*z2^3 + 10415184*z2^4 - 32256000*li5half*z3 - 
    70560000*li4half*ln2*z3 - 2671200*ln2^5*z3 + 13776000*ln2^3*z2*z3 - 
    14332500*ln2*z2^2*z3 - 26570250*ln2^2*z3^2 - 79742250*z2*z3^2 + 
    55088250*ln2^3*z5 + 1764000*ln2*z2*z5 + 70985250*z3*z5 - 
    563889375*ln2*z7)/7056000, H[-1, 1, -1, 0, -1, 0, -1, 1, 1] -> 
  (-22579200*li4half^2 + 112896000*li8half + 90316800*li7half*ln2 + 
    22579200*li6half*ln2^2 + 3763200*li5half*ln2^3 - 940800*li4half*ln2^4 - 
    15120*ln2^8 + 15926400*ln2^2*s6 - 29869875*s8a - 77313600*s8b - 
    31852800*s8c + 806400*s8d - 22579200*li6half*z2 - 
    45158400*li5half*ln2*z2 - 11289600*li4half*ln2^2*z2 - 219520*ln2^6*z2 + 
    13910400*s6*z2 + 14837760*li4half*z2^2 + 2358720*ln2^4*z2^2 - 
    12610080*ln2^2*z2^3 - 11165472*z2^4 + 40723200*li5half*z3 - 
    5644800*li4half*ln2*z3 - 574560*ln2^5*z3 + 4393200*ln2^3*z2*z3 + 
    34496280*ln2*z2^2*z3 + 4082400*ln2^2*z3^2 + 28740600*z2*z3^2 - 
    3336900*ln2^3*z5 + 137850300*ln2*z2*z5 - 93862125*z3*z5 - 
    89214300*ln2*z7)/2822400, H[-1, 1, -1, 0, -1, 0, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    141120000*ln2^2*s6 + 36288000*ln2*s7a - 76608000*ln2*s7b + 
    249565050*s8a + 866880000*s8b + 266112000*s8c - 40320000*s8d + 
    112896000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 2077600*ln2^6*z2 - 4032000*s6*z2 - 
    80035200*li4half*z2^2 + 2545200*ln2^4*z2^2 + 45070200*ln2^2*z2^3 + 
    49145148*z2^4 - 201600000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    4032000*ln2^5*z3 - 33264000*ln2^3*z2*z3 - 214767000*ln2*z2^2*z3 - 
    2205000*ln2^2*z3^2 - 247432500*z2*z3^2 + 104664000*ln2^3*z5 - 
    610785000*ln2*z2*z5 + 379685250*z3*z5 - 390135375*ln2*z7)/14112000, 
 H[-1, 1, -1, 0, -1, 0, -1, -1, 1] -> 
  (-1693440000*li8half - 903168000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 58800*ln2^8 + 
    150192000*ln2^2*s6 - 205632000*ln2*s7a + 20160000*ln2*s7b - 
    187840800*s8a - 2202480000*s8b - 2016000*s8c - 357840000*s8d + 
    169344000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 627200*ln2^6*z2 + 906192000*s6*z2 - 
    71568000*li4half*z2^2 - 4158000*ln2^4*z2^2 - 15825600*ln2^2*z2^3 + 
    158233932*z2^4 + 687456000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    6316800*ln2^5*z3 + 53760000*ln2^3*z2*z3 + 270559800*ln2*z2^2*z3 - 
    219271500*ln2^2*z3^2 + 71190000*z2*z3^2 - 217266000*ln2^3*z5 - 
    64638000*ln2*z2*z5 - 262080000*z3*z5 + 636213375*ln2*z7)/28224000, 
 H[-1, 1, -1, 0, -1, -1, 1, 1, 1] -> 
  (9652608000*li8half + 2060352000*li7half*ln2 + 70560000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 85400*ln2^8 - 1744848000*ln2^2*s6 + 
    479808000*ln2*s7a - 493920000*ln2*s7b + 3704779575*s8a + 
    22747032000*s8b + 2586528000*s8c + 2077488000*s8d - 70560000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 1509200*ln2^6*z2 - 
    6515208000*s6*z2 + 417614400*li4half*z2^2 - 16468200*ln2^4*z2^2 + 
    352170000*ln2^2*z2^3 - 616325688*z2^4 - 4183200000*li5half*z3 - 
    31752000*li4half*ln2*z3 + 32919600*ln2^5*z3 - 330078000*ln2^3*z2*z3 - 
    2817775800*ln2*z2^2*z3 + 169107750*ln2^2*z3^2 - 2754753750*z2*z3^2 + 
    929481000*ln2^3*z5 - 6236811000*ln2*z2*z5 + 3353505750*z3*z5 - 
    4288063500*ln2*z7)/28224000, H[-1, 1, -1, 0, -1, -1, 1, 0, 1] -> 
  (56448000*li4half^2 - 6021120000*li8half - 1806336000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 12544000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 98000*ln2^8 + 1082592000*ln2^2*s6 - 
    354144000*ln2*s7a + 464352000*ln2*s7b - 2339448300*s8a - 
    14268912000*s8b - 1607424000*s8c - 1309056000*s8d - 28224000*li6half*z2 - 
    18816000*li4half*ln2^2*z2 - 509600*ln2^6*z2 + 4050480000*s6*z2 - 
    313084800*li4half*z2^2 + 1811600*ln2^4*z2^2 - 210011200*ln2^2*z2^3 + 
    408365032*z2^4 + 2674560000*li5half*z3 + 110544000*li4half*ln2*z3 - 
    17682000*ln2^5*z3 + 188580000*ln2^3*z2*z3 + 1695573600*ln2*z2^2*z3 - 
    174153000*ln2^2*z3^2 + 1747410000*z2*z3^2 - 788067000*ln2^3*z5 + 
    3360042000*ln2*z2*z5 - 2182866000*z3*z5 + 4098546375*ln2*z7)/18816000, 
 H[-1, 1, -1, 0, -1, -1, 1, -1, 1] -> 
  (12700800*li4half^2 - 1346284800*li8half - 296352000*li7half*ln2 - 
    12700800*li6half*ln2^2 + 940800*li5half*ln2^3 + 705600*li4half*ln2^4 + 
    7280*ln2^8 + 248875200*ln2^2*s6 - 63806400*ln2*s7a + 82252800*ln2*s7b - 
    541792125*s8a - 3334867200*s8b - 374371200*s8c - 309355200*s8d + 
    12700800*li6half*z2 - 2822400*li5half*ln2*z2 - 6350400*li4half*ln2^2*z2 - 
    444920*ln2^6*z2 + 962690400*s6*z2 - 72031680*li4half*z2^2 + 
    2243640*ln2^4*z2^2 - 51796080*ln2^2*z2^3 + 86603274*z2^4 + 
    620121600*li5half*z3 + 23284800*li4half*ln2*z3 - 4135740*ln2^5*z3 + 
    44091600*ln2^3*z2*z3 + 404568360*ln2*z2^2*z3 - 25392150*ln2^2*z3^2 + 
    408117150*z2*z3^2 - 138973800*ln2^3*z5 + 869368500*ln2*z2*z5 - 
    524175750*z3*z5 + 745912125*ln2*z7)/2822400, 
 H[-1, 1, -1, 0, -1, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    39312000*ln2^2*s6 - 57120000*ln2*s7a - 57120000*ln2*s7b + 31097325*s8a - 
    49224000*s8b + 35616000*s8c - 49728000*s8d - 56448000*li6half*z2 + 
    14112000*li4half*ln2^2*z2 + 509600*ln2^6*z2 + 120624000*s6*z2 + 
    21100800*li4half*z2^2 + 291200*ln2^4*z2^2 - 11676000*ln2^2*z2^3 + 
    15313392*z2^4 + 99456000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    2886800*ln2^5*z3 + 13384000*ln2^3*z2*z3 + 56049000*ln2*z2^2*z3 - 
    37012500*ln2^2*z3^2 - 68680500*z2*z3^2 + 2597000*ln2^3*z5 - 
    32403000*ln2*z2*z5 + 47152875*z3*z5 - 364604625*ln2*z7)/18816000, 
 H[-1, 1, -1, 0, -1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    28224000*ln2^2*s6 - 11424000*ln2*s7a + 7392000*ln2*s7b - 37630950*s8a - 
    114408000*s8b - 43008000*s8c + 5376000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 8064000*s6*z2 + 35649600*li4half*z2^2 - 
    278600*ln2^4*z2^2 - 13084400*ln2^2*z2^3 - 8708272*z2^4 - 
    10752000*li5half*z3 - 49392000*li4half*ln2*z3 - 1968400*ln2^5*z3 + 
    12236000*ln2^3*z2*z3 + 46628400*ln2*z2^2*z3 - 11907000*ln2^2*z3^2 + 
    50043000*z2*z3^2 - 17444000*ln2^3*z5 + 117379500*ln2*z2*z5 - 
    90447000*z3*z5 - 29460375*ln2*z7)/9408000, 
 H[-1, 1, -1, 0, -1, -1, 0, -1, 1] -> 
  (-197568000*li4half^2 - 16464000*li4half*ln2^4 - 343000*ln2^8 + 
    98784000*ln2^2*s6 - 93408000*ln2*s7a - 93408000*ln2*s7b + 884100*s8a + 
    283920000*s8b - 10752000*s8c + 10752000*s8d - 28224000*li6half*z2 + 
    98784000*li4half*ln2^2*z2 + 4076800*ln2^6*z2 - 14448000*s6*z2 + 
    163027200*li4half*z2^2 - 4967200*ln2^4*z2^2 - 51189600*ln2^2*z2^3 + 
    21560016*z2^4 - 21504000*li5half*z3 - 345744000*li4half*ln2*z3 - 
    14226800*ln2^5*z3 + 85036000*ln2^3*z2*z3 + 153585600*ln2*z2^2*z3 - 
    115542000*ln2^2*z3^2 + 8211000*z2*z3^2 - 8673000*ln2^3*z5 + 
    289884000*ln2*z2*z5 - 205663500*z3*z5 - 1142953875*ln2*z7)/18816000, 
 H[-1, 1, -1, 0, -1, -1, -1, 1, 1] -> 
  (-84672000*li4half^2 + 8297856000*li8half + 2370816000*li7half*ln2 + 
    197568000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 + 117600*ln2^8 - 1048320000*ln2^2*s6 + 
    254016000*ln2*s7a - 268128000*ln2*s7b + 2280376350*s8a + 
    14998032000*s8b + 1419264000*s8c + 1445472000*s8d - 
    197568000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 196000*ln2^6*z2 - 4238640000*s6*z2 + 
    362476800*li4half*z2^2 + 2167200*ln2^4*z2^2 + 165362400*ln2^2*z2^3 - 
    604998504*z2^4 - 2834496000*li5half*z3 - 91728000*li4half*ln2*z3 + 
    20622000*ln2^5*z3 - 213864000*ln2^3*z2*z3 - 1733407200*ln2*z2^2*z3 + 
    214515000*ln2^2*z3^2 - 1715805000*z2*z3^2 + 560805000*ln2^3*z5 - 
    3454731000*ln2*z2*z5 + 1924476750*z3*z5 - 3459038625*ln2*z7)/56448000, 
 H[-1, 1, -1, 0, -1, -1, -1, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 5376000*ln2^2*s6 + 
    672000*ln2*s7a - 6048000*ln2*s7b + 11863425*s8a + 52416000*s8b + 
    12768000*s8c + 672000*s8d + 2016000*li6half*z2 - 
    1008000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 8568000*s6*z2 - 
    1075200*li4half*z2^2 + 39200*ln2^4*z2^2 + 1534400*ln2^2*z2^3 + 
    2570248*z2^4 - 6048000*li5half*z3 + 50400*ln2^5*z3 - 420000*ln2^3*z2*z3 - 
    7035000*ln2*z2^2*z3 - 1575000*ln2^2*z3^2 - 9912000*z2*z3^2 + 
    5838000*ln2^3*z5 - 17094000*ln2*z2*z5 + 8150625*z3*z5 - 37944375*ln2*z7)/
   1344000, H[-1, 1, -1, 0, -1, -1, -1, -1, 1] -> 
  (-254016000*li4half^2 - 1241856000*li8half - 564480000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 21168000*li4half*ln2^4 - 477400*ln2^8 + 
    222768000*ln2^2*s6 - 207648000*ln2*s7a - 122976000*ln2*s7b - 
    92540700*s8a - 1031184000*s8b + 12096000*s8c - 223776000*s8d + 
    141120000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 6585600*ln2^6*z2 + 553392000*s6*z2 + 
    158457600*li4half*z2^2 - 13389600*ln2^4*z2^2 - 71517600*ln2^2*z2^3 + 
    130461768*z2^4 + 391104000*li5half*z3 - 486864000*li4half*ln2*z3 - 
    24368400*ln2^5*z3 + 162540000*ln2^3*z2*z3 + 365425200*ln2*z2^2*z3 - 
    315504000*ln2^2*z3^2 + 45171000*z2*z3^2 - 146118000*ln2^3*z5 + 
    350532000*ln2*z2*z5 - 370786500*z3*z5 - 1176926625*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 1, 1, 1, 1] -> 
  (-197568000*li8half - 84672000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    4704000*li5half*ln2^3 + 11200*ln2^8 + 43344000*ln2^2*s6 - 
    27216000*ln2*s7a - 20160000*ln2*s7b - 73541475*s8a - 464184000*s8b - 
    46368000*s8c - 38304000*s8d + 28224000*li6half*z2 + 
    14112000*li5half*ln2*z2 - 78400*ln2^6*z2 + 126000000*s6*z2 - 
    7660800*li4half*z2^2 + 1680000*ln2^4*z2^2 - 10718400*ln2^2*z2^3 + 
    10079544*z2^4 + 69552000*li5half*z3 - 1050000*ln2^5*z3 + 
    10500000*ln2^3*z2*z3 + 89548200*ln2*z2^2*z3 - 4567500*ln2^2*z3^2 + 
    27940500*z2*z3^2 + 220500*ln2^3*z5 + 176935500*ln2*z2*z5 - 
    30184875*z3*z5 - 40642875*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, 1, 1, 1, 0, 1] -> (28224000*li4half^2 - 282240000*li8half - 
    188160000*li7half*ln2 - 47040000*li6half*ln2^2 - 3136000*li5half*ln2^3 + 
    3136000*li4half*ln2^4 + 72800*ln2^8 + 39312000*ln2^2*s6 - 
    40320000*ln2*s7a + 39648000*ln2*s7b - 27271650*s8a - 450576000*s8b - 
    30912000*s8c - 63168000*s8d + 56448000*li6half*z2 + 
    18816000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 744800*ln2^6*z2 + 
    187488000*s6*z2 - 33331200*li4half*z2^2 + 688800*ln2^4*z2^2 - 
    6837600*ln2^2*z2^3 + 7669456*z2^4 + 102816000*li5half*z3 + 
    35280000*li4half*ln2*z3 + 770000*ln2^5*z3 - 4956000*ln2^3*z2*z3 + 
    7215600*ln2*z2^2*z3 - 16947000*ln2^2*z3^2 + 16275000*z2*z3^2 - 
    80409000*ln2^3*z5 - 12411000*ln2*z2*z5 + 50142750*z3*z5 + 
    312508875*ln2*z7)/18816000, H[-1, 1, -1, -1, 1, 1, 1, -1, 1] -> 
  (84672000*li4half^2 + 451584000*li8half + 225792000*li7half*ln2 + 
    84672000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 
    173600*ln2^8 - 91728000*ln2^2*s6 + 64512000*ln2*s7a - 90720000*ln2*s7b + 
    349661025*s8a + 1547784000*s8b + 223776000*s8c + 86688000*s8d - 
    84672000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2195200*ln2^6*z2 - 413280000*s6*z2 - 
    50400000*li4half*z2^2 + 957600*ln2^4*z2^2 + 39883200*ln2^2*z2^3 - 
    13079616*z2^4 - 145152000*li5half*z3 + 162288000*li4half*ln2*z3 + 
    9324000*ln2^5*z3 - 66192000*ln2^3*z2*z3 - 279505800*ln2*z2^2*z3 + 
    86436000*ln2^2*z3^2 - 258237000*z2*z3^2 + 90699000*ln2^3*z5 - 
    220941000*ln2*z2*z5 + 398372625*z3*z5 - 799714125*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 1, 0, 1, 1] -> 
  (-254016000*li4half^2 - 1072512000*li8half - 56448000*li7half*ln2 + 
    141120000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 574000*ln2^8 + 398160000*ln2^2*s6 - 
    161280000*ln2*s7a + 276192000*ln2*s7b - 961367400*s8a - 4562208000*s8b - 
    572544000*s8c - 457632000*s8d - 310464000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 127008000*li4half*ln2^2*z2 + 
    6428800*ln2^6*z2 + 1310400000*s6*z2 + 115920000*li4half*z2^2 - 
    12868800*ln2^4*z2^2 - 114055200*ln2^2*z2^3 + 175709616*z2^4 + 
    971712000*li5half*z3 - 444528000*li4half*ln2*z3 - 27972000*ln2^5*z3 + 
    178584000*ln2^3*z2*z3 + 791406000*ln2*z2^2*z3 - 346657500*ln2^2*z3^2 + 
    840199500*z2*z3^2 - 434091000*ln2^3*z5 + 926163000*ln2*z2*z5 - 
    1933737750*z3*z5 + 1456331625*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 1, 0, 0, 1] -> (33868800*li4half^2 + 248371200*li8half + 
    158054400*li7half*ln2 + 45158400*li6half*ln2^2 + 7526400*li5half*ln2^3 + 
    3763200*li4half*ln2^4 + 72800*ln2^8 - 64310400*ln2^2*s6 + 
    39513600*ln2*s7a - 70560000*ln2*s7b + 139659975*s8a + 724046400*s8b + 
    111686400*s8c + 49190400*s8d - 16934400*li6half*z2 - 
    16934400*li4half*ln2^2*z2 - 791840*ln2^6*z2 - 195753600*s6*z2 - 
    14999040*li4half*z2^2 + 2068080*ln2^4*z2^2 + 23728320*ln2^2*z2^3 - 
    3571632*z2^4 - 132249600*li5half*z3 + 42336000*li4half*ln2*z3 + 
    2960160*ln2^5*z3 - 22428000*ln2^3*z2*z3 - 91201320*ln2*z2^2*z3 + 
    38845800*ln2^2*z3^2 - 120500100*z2*z3^2 + 97637400*ln2^3*z5 - 
    121791600*ln2*z2*z5 + 173005875*z3*z5 - 500082975*ln2*z7)/11289600, 
 H[-1, 1, -1, -1, 1, 1, 0, -1, 1] -> 
  (790272000*li8half + 959616000*li7half*ln2 + 310464000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 53200*ln2^8 - 397152000*ln2^2*s6 + 
    110880000*ln2*s7a - 467712000*ln2*s7b + 782795475*s8a + 3655512000*s8b + 
    812448000*s8c + 20160000*s8d - 395136000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 470400*ln2^6*z2 - 661248000*s6*z2 + 
    4032000*li4half*z2^2 + 2872800*ln2^4*z2^2 + 139154400*ln2^2*z2^3 + 
    186909816*z2^4 + 16128000*li5half*z3 - 428400*ln2^5*z3 - 
    9240000*ln2^3*z2*z3 - 274264200*ln2*z2^2*z3 - 72891000*ln2^2*z3^2 - 
    636237000*z2*z3^2 + 548016000*ln2^3*z5 - 1006551000*ln2*z2*z5 + 
    36610875*z3*z5 - 3673388250*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 1, -1, 1, 1] -> 
  (-36288000*li4half^2 - 24192000*li7half*ln2 - 12096000*li6half*ln2^2 - 
    4032000*li5half*ln2^3 - 4032000*li4half*ln2^4 - 83200*ln2^8 - 
    2592000*ln2^2*s6 - 9504000*ln2*s7a + 14688000*ln2*s7b - 21772800*s8a + 
    12096000*li6half*z2 + 12096000*li5half*ln2*z2 + 
    24192000*li4half*ln2^2*z2 + 985600*ln2^6*z2 + 12096000*s6*z2 + 
    29030400*li4half*z2^2 - 2217600*ln2^4*z2^2 - 6592800*ln2^2*z2^3 + 
    6074112*z2^4 - 6048000*li5half*z3 - 69552000*li4half*ln2*z3 - 
    2830800*ln2^5*z3 + 16716000*ln2^3*z2*z3 + 18230400*ln2*z2^2*z3 - 
    33867000*ln2^2*z3^2 + 21987000*z2*z3^2 - 15687000*ln2^3*z5 - 
    67149000*ln2*z2*z5 - 97240500*z3*z5 + 103555125*ln2*z7)/8064000, 
 H[-1, 1, -1, -1, 1, 1, -1, 0, 1] -> 
  (169344000*li4half^2 + 1016064000*li8half + 733824000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    18816000*li4half*ln2^4 + 369600*ln2^8 - 153216000*ln2^2*s6 + 
    191520000*ln2*s7a - 260064000*ln2*s7b + 449013600*s8a + 2346624000*s8b + 
    233856000*s8c + 260064000*s8d - 225792000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 112896000*li4half*ln2^2*z2 - 
    4429600*ln2^6*z2 - 922320000*s6*z2 - 83462400*li4half*z2^2 + 
    9693600*ln2^4*z2^2 + 80488800*ln2^2*z2^3 - 91131024*z2^4 - 
    463680000*li5half*z3 + 324576000*li4half*ln2*z3 + 18152400*ln2^5*z3 - 
    113904000*ln2^3*z2*z3 - 283600800*ln2*z2^2*z3 + 283248000*ln2^2*z3^2 - 
    318055500*z2*z3^2 + 377937000*ln2^3*z5 + 253764000*ln2*z2*z5 + 
    803785500*z3*z5 - 2002762125*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 1, -1, -1, 1] -> 
  (-169344000*li8half - 5600*ln2^8 + 51408000*ln2^2*s6 - 127277325*s8a - 
    654696000*s8b - 102816000*s8c - 66528000*s8d + 156800*ln2^6*z2 + 
    217728000*s6*z2 - 13305600*li4half*z2^2 + 2268000*ln2^4*z2^2 - 
    14632800*ln2^2*z2^3 + 22076928*z2^4 + 133056000*li5half*z3 - 
    2461200*ln2^5*z3 + 24612000*ln2^3*z2*z3 + 126441000*ln2*z2^2*z3 - 
    17514000*ln2^2*z3^2 + 97839000*z2*z3^2 + 441000*ln2^3*z5 + 
    307125000*ln2*z2*z5 - 211325625*z3*z5 - 223256250*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 0, 1, 1, 1] -> (254016000*li4half^2 - 56448000*li8half + 
    338688000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 372400*ln2^8 - 
    168336000*ln2^2*s6 + 296352000*ln2*s7a - 127008000*ln2*s7b + 
    332737650*s8a + 1452528000*s8b + 124992000*s8c + 213696000*s8d - 
    169344000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 4547200*ln2^6*z2 - 787248000*s6*z2 - 
    164707200*li4half*z2^2 + 5779200*ln2^4*z2^2 + 103521600*ln2^2*z2^3 - 
    27840096*z2^4 - 448560000*li5half*z3 + 444528000*li4half*ln2*z3 + 
    22318800*ln2^5*z3 - 149100000*ln2^3*z2*z3 - 422276400*ln2*z2^2*z3 + 
    398065500*ln2^2*z3^2 - 209947500*z2*z3^2 + 329868000*ln2^3*z5 + 
    252126000*ln2*z2*z5 + 1038539250*z3*z5 - 851846625*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 0, 1, 0, 1] -> 
  (-169344000*li4half^2 + 1128960000*li8half + 338688000*li7half*ln2 - 
    18816000*li5half*ln2^3 - 18816000*li4half*ln2^4 - 372400*ln2^8 - 
    195552000*ln2^2*s6 + 88704000*ln2*s7a - 38304000*ln2*s7b + 
    339092775*s8a + 2710512000*s8b + 143136000*s8c + 435456000*s8d + 
    84672000*li6half*z2 + 42336000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 3528000*ln2^6*z2 - 1040256000*s6*z2 + 
    211276800*li4half*z2^2 - 1516200*ln2^4*z2^2 + 34431600*ln2^2*z2^3 - 
    184677636*z2^4 - 701568000*li5half*z3 - 211680000*li4half*ln2*z3 - 
    3444000*ln2^5*z3 - 7602000*ln2^3*z2*z3 - 236149200*ln2*z2^2*z3 + 
    41580000*ln2^2*z3^2 - 233698500*z2*z3^2 + 160965000*ln2^3*z5 - 
    489982500*ln2*z2*z5 + 583072875*z3*z5 - 228666375*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, 1, 0, 1, -1, 1] -> 
  (-338688000*li4half^2 + 6096384000*li8half - 338688000*li7half*ln2 - 
    846720000*li6half*ln2^2 - 178752000*li5half*ln2^3 - 
    37632000*li4half*ln2^4 - 448000*ln2^8 - 941472000*ln2^2*s6 + 
    30240000*ln2*s7a + 284256000*ln2*s7b + 1754515350*s8a + 12927600000*s8b + 
    834624000*s8c + 1790208000*s8d + 846720000*li6half*z2 + 
    282240000*li5half*ln2*z2 + 225792000*li4half*ln2^2*z2 + 
    8388800*ln2^6*z2 - 4398912000*s6*z2 + 628992000*li4half*z2^2 - 
    26476800*ln2^4*z2^2 - 1864800*ln2^2*z2^3 - 865787184*z2^4 - 
    3679200000*li5half*z3 - 649152000*li4half*ln2*z3 + 4376400*ln2^5*z3 - 
    30240000*ln2^3*z2*z3 - 1688223600*ln2*z2^2*z3 + 33768000*ln2^2*z3^2 - 
    1304226000*z2*z3^2 + 21021000*ln2^3*z5 - 3659922000*ln2*z2*z5 + 
    3031670250*z3*z5 + 2821651875*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 338688000*li8half - 225792000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    71400*ln2^8 + 21672000*ln2^2*s6 - 84672000*ln2*s7a - 28224000*ln2*s7b - 
    85684725*s8a - 797832000*s8b + 76608000*s8c - 217728000*s8d + 
    84672000*li6half*z2 + 28224000*li5half*ln2*z2 - 39200*ln2^6*z2 + 
    580104000*s6*z2 - 18144000*li4half*z2^2 + 2301600*ln2^4*z2^2 - 
    30550800*ln2^2*z2^3 + 95786724*z2^4 + 340200000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 4187400*ln2^5*z3 + 29526000*ln2^3*z2*z3 + 
    98620200*ln2*z2^2*z3 - 100516500*ln2^2*z3^2 - 13576500*z2*z3^2 - 
    38808000*ln2^3*z5 - 181755000*ln2*z2*z5 - 380976750*z3*z5 - 
    16647750*ln2*z7)/28224000, H[-1, 1, -1, -1, 1, 0, 0, 0, 1] -> 
  (7056000*ln2^2*s6 + 672000*ln2*s7a + 3024000*ln2*s7b - 1684725*s8a - 
    17136000*s8b - 10752000*s8c + 1344000*s8d - 14112000*li6half*z2 - 
    9408000*li5half*ln2*z2 - 2352000*li4half*ln2^2*z2 - 39200*ln2^6*z2 - 
    10332000*s6*z2 + 3796800*li4half*z2^2 + 187600*ln2^4*z2^2 - 
    2700600*ln2^2*z2^3 - 4319586*z2^4 + 12600000*li5half*z3 + 
    2352000*li4half*ln2*z3 - 7000*ln2^5*z3 + 168000*ln2^3*z2*z3 + 
    7364700*ln2*z2^2*z3 + 147000*ln2^2*z3^2 + 12033000*z2*z3^2 - 
    4508000*ln2^3*z5 + 43806000*ln2*z2*z5 - 9675750*z3*z5 - 3759000*ln2*z7)/
   4704000, H[-1, 1, -1, -1, 1, 0, 0, -1, 1] -> 
  (-7056000*li4half^2 + 70560000*li8half + 56448000*li7half*ln2 + 
    21168000*li6half*ln2^2 + 4704000*li5half*ln2^3 - 7000*ln2^8 + 
    27594000*ln2^2*s6 - 2520000*ln2*s7a - 30744000*ln2*s7b - 10519425*s8a - 
    79758000*s8b + 4536000*s8c - 38052000*s8d - 21168000*li6half*z2 - 
    17640000*li5half*ln2*z2 - 3528000*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 
    71694000*s6*z2 - 1260000*li4half*z2^2 + 204750*ln2^4*z2^2 - 
    15596700*ln2^2*z2^3 + 10212162*z2^4 + 69048000*li5half*z3 - 
    5292000*li4half*ln2*z3 - 751800*ln2^5*z3 + 5680500*ln2^3*z2*z3 + 
    33037200*ln2*z2^2*z3 - 5717250*ln2^2*z3^2 + 9442125*z2*z3^2 + 
    11980500*ln2^3*z5 + 125488125*ln2*z2*z5 - 119172375*z3*z5 - 
    279334125*ln2*z7)/7056000, H[-1, 1, -1, -1, 1, 0, -1, 1, 1] -> 
  (338688000*li4half^2 - 6773760000*li8half - 508032000*li7half*ln2 + 
    508032000*li6half*ln2^2 + 122304000*li5half*ln2^3 + 
    37632000*li4half*ln2^4 + 599200*ln2^8 + 763056000*ln2^2*s6 - 
    90720000*ln2*s7a + 120960000*ln2*s7b - 1916370225*s8a - 13651848000*s8b - 
    949536000*s8c - 1675296000*s8d - 508032000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 225792000*li4half*ln2^2*z2 - 
    10035200*ln2^6*z2 + 4465440000*s6*z2 - 606009600*li4half*z2^2 + 
    34137600*ln2^4*z2^2 + 69098400*ln2^2*z2^3 + 786788064*z2^4 + 
    3258864000*li5half*z3 + 649152000*li4half*ln2*z3 + 655200*ln2^5*z3 - 
    20076000*ln2^3*z2*z3 + 1453296600*ln2*z2^2*z3 - 28602000*ln2^2*z3^2 + 
    1313235000*z2*z3^2 - 338982000*ln2^3*z5 + 2400237000*ln2*z2*z5 - 
    2248855875*z3*z5 + 1037988000*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 0, -1, 0, 1] -> 
  (-338688000*li4half^2 + 2257920000*li8half + 677376000*li7half*ln2 - 
    37632000*li5half*ln2^3 - 37632000*li4half*ln2^4 - 744800*ln2^8 - 
    202608000*ln2^2*s6 + 141120000*ln2*s7a - 14112000*ln2*s7b + 
    608883975*s8a + 4813704000*s8b + 38304000*s8c + 864864000*s8d - 
    169344000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 7996800*ln2^6*z2 - 2308320000*s6*z2 + 
    421344000*li4half*z2^2 - 10374000*ln2^4*z2^2 + 21050400*ln2^2*z2^3 - 
    418532304*z2^4 - 1137024000*li5half*z3 - 423360000*li4half*ln2*z3 - 
    8870400*ln2^5*z3 + 15204000*ln2^3*z2*z3 - 261286200*ln2*z2^2*z3 + 
    66276000*ln2^2*z3^2 - 239305500*z2*z3^2 + 188454000*ln2^3*z5 + 
    12096000*ln2*z2*z5 + 984004875*z3*z5 - 602240625*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, 0, -1, -1, 1] -> 
  (282240000*li8half + 169344000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 26600*ln2^8 - 66528000*ln2^2*s6 + 
    102816000*ln2*s7a - 137088000*ln2*s7b + 204417675*s8a + 1251432000*s8b + 
    110880000*s8c + 171360000*s8d - 84672000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 235200*ln2^6*z2 - 554400000*s6*z2 + 
    34272000*li4half*z2^2 - 100800*ln2^4*z2^2 + 17623200*ln2^2*z2^3 - 
    40155672*z2^4 - 335664000*li5half*z3 + 2816800*ln2^5*z3 - 
    28168000*ln2^3*z2*z3 - 150985800*ln2*z2^2*z3 + 117411000*ln2^2*z3^2 - 
    118513500*z2*z3^2 + 205653000*ln2^3*z5 + 157815000*ln2*z2*z5 + 
    406310625*z3*z5 - 806431500*ln2*z7)/18816000, 
 H[-1, 1, -1, -1, 1, -1, 1, 1, 1] -> 
  (254016000*li4half^2 - 677376000*li8half - 338688000*li7half*ln2 + 
    28224000*li5half*ln2^3 + 28224000*li4half*ln2^4 + 551600*ln2^8 + 
    275184000*ln2^2*s6 - 6048000*ln2*s7a + 332640000*ln2*s7b - 
    504048825*s8a - 2904552000*s8b - 538272000*s8c - 139104000*s8d - 
    84672000*li5half*ln2*z2 - 169344000*li4half*ln2^2*z2 - 6742400*ln2^6*z2 + 
    616896000*s6*z2 - 231033600*li4half*z2^2 + 6955200*ln2^4*z2^2 - 
    22982400*ln2^2*z2^3 - 29883312*z2^4 + 320544000*li5half*z3 + 
    486864000*li4half*ln2*z3 + 18967200*ln2^5*z3 - 108528000*ln2^3*z2*z3 + 
    122509800*ln2*z2^2*z3 + 184779000*ln2^2*z3^2 + 397530000*z2*z3^2 - 
    383229000*ln2^3*z5 + 792477000*ln2*z2*z5 - 73828125*z3*z5 + 
    2005927875*ln2*z7)/56448000, H[-1, 1, -1, -1, 1, -1, 1, 0, 1] -> 
  (188160000*li8half + 131712000*li7half*ln2 + 37632000*li6half*ln2^2 + 
    4704000*li5half*ln2^3 - 8400*ln2^8 - 49560000*ln2^2*s6 + 
    31584000*ln2*s7a - 43680000*ln2*s7b + 70735350*s8a + 423696000*s8b + 
    71232000*s8c + 27552000*s8d - 9408000*li6half*z2 + 19600*ln2^6*z2 - 
    93912000*s6*z2 + 5510400*li4half*z2^2 + 464800*ln2^4*z2^2 + 
    10987200*ln2^2*z2^3 - 4133424*z2^4 - 76272000*li5half*z3 + 
    557200*ln2^5*z3 - 5376000*ln2^3*z2*z3 - 53835600*ln2*z2^2*z3 + 
    16012500*ln2^2*z3^2 - 65772000*z2*z3^2 + 73622500*ln2^3*z5 - 
    112728000*ln2*z2*z5 + 73174500*z3*z5 - 251293875*ln2*z7)/9408000, 
 H[-1, 1, -1, -1, 1, -1, 1, -1, 1] -> 
  (211680000*li8half + 127008000*li7half*ln2 + 21168000*li6half*ln2^2 + 
    9100*ln2^8 - 83916000*ln2^2*s6 + 31752000*ln2*s7a - 42336000*ln2*s7b + 
    115351425*s8a + 597240000*s8b + 93744000*s8c + 65016000*s8d - 
    21168000*li6half*z2 - 78400*ln2^6*z2 - 204120000*s6*z2 + 
    13003200*li4half*z2^2 + 1688400*ln2^4*z2^2 + 22982400*ln2^2*z2^3 - 
    26320122*z2^4 - 130032000*li5half*z3 + 1054200*ln2^5*z3 - 
    10542000*ln2^3*z2*z3 - 87299100*ln2*z2^2*z3 + 25956000*ln2^2*z3^2 - 
    99193500*z2*z3^2 + 88971750*ln2^3*z5 - 206151750*ln2*z2*z5 + 
    231926625*z3*z5 - 55566000*ln2*z7)/14112000, 
 H[-1, 1, -1, -1, 1, -1, 0, 1, 1] -> 
  (-423360000*li4half^2 + 677376000*li8half - 338688000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 103488000*li5half*ln2^3 - 
    51744000*li4half*ln2^4 - 945000*ln2^8 - 238896000*ln2^2*s6 - 
    157248000*ln2*s7a - 241920000*ln2*s7b + 504048825*s8a + 2904552000*s8b + 
    538272000*s8c + 139104000*s8d + 338688000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 225792000*li4half*ln2^2*z2 + 
    9447200*ln2^6*z2 - 489888000*s6*z2 + 374976000*li4half*z2^2 - 
    10777200*ln2^4*z2^2 - 72374400*ln2^2*z2^3 - 41959368*z2^4 - 
    327600000*li5half*z3 - 733824000*li4half*ln2*z3 - 29374800*ln2^5*z3 + 
    173796000*ln2^3*z2*z3 - 58451400*ln2*z2^2*z3 - 367951500*ln2^2*z3^2 - 
    416713500*z2*z3^2 + 206241000*ln2^3*z5 - 948717000*ln2*z2*z5 - 
    25948125*z3*z5 - 1083726000*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, -1, 0, 0, 1] -> 
  (-282240000*li8half - 169344000*li7half*ln2 - 42336000*li6half*ln2^2 - 
    4704000*li5half*ln2^3 + 7000*ln2^8 + 70308000*ln2^2*s6 - 
    29232000*ln2*s7a + 55440000*ln2*s7b - 106103025*s8a - 635544000*s8b - 
    106848000*s8c - 41328000*s8d - 21168000*li5half*ln2*z2 - 
    10584000*li4half*ln2^2*z2 - 284200*ln2^6*z2 + 139104000*s6*z2 + 
    7610400*li4half*z2^2 + 919800*ln2^4*z2^2 - 22843800*ln2^2*z2^3 + 
    333576*z2^4 + 114408000*li5half*z3 + 10584000*li4half*ln2*z3 - 
    424200*ln2^5*z3 + 4830000*ln2^3*z2*z3 + 77212800*ln2*z2^2*z3 - 
    8174250*ln2^2*z3^2 + 92373750*z2*z3^2 - 87869250*ln2^3*z5 + 
    227036250*ln2*z2*z5 - 82144125*z3*z5 + 335120625*ln2*z7)/14112000, 
 H[-1, 1, -1, -1, 1, -1, 0, -1, 1] -> 
  (-141120000*li4half^2 - 282240000*li8half - 338688000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 15680000*li5half*ln2^3 - 
    12544000*li4half*ln2^4 - 243600*ln2^8 + 172368000*ln2^2*s6 - 
    116928000*ln2*s7a + 10080000*ln2*s7b - 153801900*s8a - 796320000*s8b - 
    124992000*s8c - 86688000*s8d + 112896000*li6half*z2 + 
    18816000*li5half*ln2*z2 + 61152000*li4half*ln2^2*z2 + 2587200*ln2^6*z2 + 
    286272000*s6*z2 + 98380800*li4half*z2^2 - 4446400*ln2^4*z2^2 - 
    87309600*ln2^2*z2^3 - 2592264*z2^4 + 163968000*li5half*z3 - 
    237552000*li4half*ln2*z3 - 11303600*ln2^5*z3 + 73836000*ln2^3*z2*z3 + 
    215283600*ln2*z2^2*z3 - 129612000*ln2^2*z3^2 + 134316000*z2*z3^2 - 
    140140000*ln2^3*z5 + 446943000*ln2*z2*z5 - 327610500*z3*z5 - 
    41556375*ln2*z7)/18816000, H[-1, 1, -1, -1, 1, -1, -1, 1, 1] -> 
  (1524096000*li8half + 1016064000*li7half*ln2 + 254016000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 - 47600*ln2^8 - 320544000*ln2^2*s6 + 
    181440000*ln2*s7a - 241920000*ln2*s7b + 470850975*s8a + 3113208000*s8b + 
    489888000*s8c + 145152000*s8d - 254016000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 627200*ln2^6*z2 - 713664000*s6*z2 + 
    29030400*li4half*z2^2 + 2268000*ln2^4*z2^2 + 82101600*ln2^2*z2^3 + 
    44548776*z2^4 - 247968000*li5half*z3 + 714000*ln2^5*z3 - 
    7140000*ln2^3*z2*z3 - 277641000*ln2*z2^2*z3 + 1575000*ln2^2*z3^2 - 
    316260000*z2*z3^2 + 355887000*ln2^3*z5 - 710073000*ln2*z2*z5 - 
    303274125*z3*z5 - 2083914000*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 1, -1, -1, 0, 1] -> 
  (-42336000*li4half^2 - 592704000*li8half - 423360000*li7half*ln2 - 
    127008000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 - 72800*ln2^8 + 137592000*ln2^2*s6 - 
    72576000*ln2*s7a + 153216000*ln2*s7b - 214883550*s8a - 1366848000*s8b - 
    235872000*s8c - 60480000*s8d - 28224000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 529200*ln2^6*z2 + 269136000*s6*z2 + 
    13305600*li4half*z2^2 - 1033200*ln2^4*z2^2 - 35985600*ln2^2*z2^3 - 
    16408188*z2^4 + 262080000*li5half*z3 + 3528000*li4half*ln2*z3 - 
    2007600*ln2^5*z3 + 13902000*ln2^3*z2*z3 + 172783800*ln2*z2^2*z3 - 
    32634000*ln2^2*z3^2 + 161799750*z2*z3^2 - 220867500*ln2^3*z5 + 
    278050500*ln2*z2*z5 - 32823000*z3*z5 + 1098617625*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, 1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 1580544000*li8half - 1072512000*li7half*ln2 - 
    282240000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 148400*ln2^8 + 282240000*ln2^2*s6 - 
    104832000*ln2*s7a + 106848000*ln2*s7b - 371517300*s8a - 2209536000*s8b - 
    354816000*s8c - 68544000*s8d + 282240000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 1724800*ln2^6*z2 + 
    348768000*s6*z2 + 54028800*li4half*z2^2 - 5863200*ln2^4*z2^2 - 
    87544800*ln2^2*z2^3 - 13253328*z2^4 + 80640000*li5half*z3 - 
    162288000*li4half*ln2*z3 - 6493200*ln2^5*z3 + 37884000*ln2^3*z2*z3 + 
    244843200*ln2*z2^2*z3 - 24696000*ln2^2*z3^2 + 333144000*z2*z3^2 - 
    219177000*ln2^3*z5 + 913311000*ln2*z2*z5 + 89617500*z3*z5 + 
    1241895375*ln2*z7)/56448000, H[-1, 1, -1, -1, 0, 1, 1, 1, 1] -> 
  (536256000*li8half + 197568000*li7half*ln2 - 14112000*li5half*ln2^3 - 
    3528000*li4half*ln2^4 - 55300*ln2^8 - 168336000*ln2^2*s6 + 
    59472000*ln2*s7a - 74592000*ln2*s7b + 259320600*s8a + 1636488000*s8b + 
    217728000*s8c + 120960000*s8d + 42336000*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 686000*ln2^6*z2 - 411264000*s6*z2 + 
    24897600*li4half*z2^2 - 1197000*ln2^4*z2^2 + 38581200*ln2^2*z2^3 - 
    6414984*z2^4 - 333648000*li5half*z3 - 74088000*li4half*ln2*z3 - 
    512400*ln2^5*z3 - 7224000*ln2^3*z2*z3 - 224884800*ln2*z2^2*z3 + 
    8221500*ln2^2*z3^2 - 188653500*z2*z3^2 + 154350000*ln2^3*z5 - 
    503307000*ln2*z2*z5 + 218176875*z3*z5 - 533712375*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, 0, 1, 1, 0, 1] -> 
  (-1128960*li4half^2 - 94080*li4half*ln2^4 - 1960*ln2^8 - 591360*ln2^2*s6 + 
    134400*ln2*s7a - 53760*ln2*s7b + 755475*s8a + 5396160*s8b + 349440*s8c + 
    1344000*s8d - 1128960*li5half*ln2*z2 + 9408*ln2^6*z2 - 3534720*s6*z2 + 
    1284864*li4half*z2^2 + 45696*ln2^4*z2^2 + 26208*ln2^2*z2^3 - 
    446136*z2^4 - 430080*li5half*z3 + 282240*li4half*ln2*z3 + 
    15344*ln2^5*z3 - 98560*ln2^3*z2*z3 + 649656*ln2*z2^2*z3 + 
    221760*ln2^2*z3^2 - 509040*z2*z3^2 + 260680*ln2^3*z5 + 591360*ln2*z2*z5 + 
    319515*z3*z5 - 1072260*ln2*z7)/752640, 
 H[-1, 1, -1, -1, 0, 1, 1, -1, 1] -> 
  (84672000*li4half^2 - 13547520000*li8half - 3104640000*li7half*ln2 + 
    65856000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 368200*ln2^8 + 
    2580480000*ln2^2*s6 - 766080000*ln2*s7a + 913248000*ln2*s7b - 
    5435729775*s8a - 33598152000*s8b - 3671136000*s8c - 3271968000*s8d - 
    197568000*li5half*ln2*z2 - 239904000*li4half*ln2^2*z2 - 
    11093600*ln2^6*z2 + 10036656000*s6*z2 - 734832000*li4half*z2^2 + 
    50643600*ln2^4*z2^2 - 490795200*ln2^2*z2^3 + 1012102416*z2^4 + 
    6642720000*li5half*z3 + 324576000*li4half*ln2*z3 - 41832000*ln2^5*z3 + 
    350700000*ln2^3*z2*z3 + 4139440200*ln2*z2^2*z3 - 433408500*ln2^2*z3^2 + 
    4079659500*z2*z3^2 - 1694028000*ln2^3*z5 + 8479800000*ln2*z2*z5 - 
    5961067875*z3*z5 + 6958987875*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 0, 1, 0, 1, 1] -> (18144000*li4half^2 - 225792000*li8half - 
    112896000*li7half*ln2 - 24192000*li6half*ln2^2 - 2688000*li5half*ln2^3 + 
    1512000*li4half*ln2^4 + 37100*ln2^8 + 43920000*ln2^2*s6 - 
    20736000*ln2*s7a + 29664000*ln2*s7b - 72594900*s8a - 510048000*s8b - 
    64512000*s8c - 37296000*s8d - 24192000*li6half*z2 - 
    20160000*li5half*ln2*z2 - 15120000*li4half*ln2^2*z2 - 529200*ln2^6*z2 + 
    116424000*s6*z2 - 25099200*li4half*z2^2 + 373800*ln2^4*z2^2 - 
    4651200*ln2^2*z2^3 + 9916956*z2^4 + 88200000*li5half*z3 + 
    39312000*li4half*ln2*z3 + 1020600*ln2^5*z3 - 3234000*ln2^3*z2*z3 + 
    40095000*ln2*z2^2*z3 + 4792500*ln2^2*z3^2 + 55881000*z2*z3^2 - 
    48132000*ln2^3*z5 + 131535000*ln2*z2*z5 - 3630375*z3*z5 + 
    248914125*ln2*z7)/4032000, H[-1, 1, -1, -1, 0, 1, 0, 0, 1] -> 
  (23520000*ln2^2*s6 - 24192000*ln2*s7a + 8736000*ln2*s7b - 48655425*s8a - 
    182784000*s8b - 22176000*s8c - 29568000*s8d - 56448000*li6half*z2 - 
    18816000*li5half*ln2*z2 + 78400*ln2^6*z2 + 63840000*s6*z2 - 
    26376000*li4half*z2^2 - 1961400*ln2^4*z2^2 + 1198400*ln2^2*z2^3 + 
    28728572*z2^4 + 47376000*li5half*z3 - 21168000*li4half*ln2*z3 - 
    1276800*ln2^5*z3 + 10416000*ln2^3*z2*z3 + 1411200*ln2*z2^2*z3 - 
    22050000*ln2^2*z3^2 + 53235000*z2*z3^2 - 25333000*ln2^3*z5 + 
    35280000*ln2*z2*z5 - 140833875*z3*z5 + 46499250*ln2*z7)/9408000, 
 H[-1, 1, -1, -1, 0, 1, 0, -1, 1] -> 
  (1693440000*li8half + 790272000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 36400*ln2^8 - 167328000*ln2^2*s6 + 
    221760000*ln2*s7a - 18144000*ln2*s7b + 256534425*s8a + 2559816000*s8b + 
    18144000*s8c + 447552000*s8d - 338688000*li6half*z2 - 
    155232000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 + 98000*ln2^6*z2 - 
    1254960000*s6*z2 + 78926400*li4half*z2^2 + 613200*ln2^4*z2^2 + 
    41806800*ln2^2*z2^3 - 178836552*z2^4 - 817488000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 7694400*ln2^5*z3 - 71946000*ln2^3*z2*z3 - 
    344106000*ln2*z2^2*z3 + 249732000*ln2^2*z3^2 - 65535750*z2*z3^2 + 
    227556000*ln2^3*z5 + 121684500*ln2*z2*z5 + 520135875*z3*z5 - 
    374070375*ln2*z7)/28224000, H[-1, 1, -1, -1, 0, 1, -1, 1, 1] -> 
  (127008000*li4half^2 + 13208832000*li8half + 2794176000*li7half*ln2 - 
    23520000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 336700*ln2^8 - 
    2304288000*ln2^2*s6 + 607824000*ln2*s7a - 796320000*ln2*s7b + 
    5144575275*s8a + 31638600000*s8b + 3392928000*s8c + 3084480000*s8d + 
    70560000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 2567600*ln2^6*z2 - 
    9407664000*s6*z2 + 544924800*li4half*z2^2 - 33419400*ln2^4*z2^2 + 
    455490000*ln2^2*z2^3 - 995001156*z2^4 - 6204240000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 53201400*ln2^5*z3 - 406770000*ln2^3*z2*z3 - 
    3907360800*ln2*z2^2*z3 + 389151000*ln2^2*z3^2 - 3899448000*z2*z3^2 + 
    1367688000*ln2^3*z5 - 7817985000*ln2*z2*z5 + 5711824125*z3*z5 - 
    6550354125*ln2*z7)/28224000, H[-1, 1, -1, -1, 0, 1, -1, 0, 1] -> 
  (-15805440000*li8half - 5419008000*li7half*ln2 - 677376000*li6half*ln2^2 + 
    9408000*li4half*ln2^4 + 134400*ln2^8 + 3002832000*ln2^2*s6 - 
    1378944000*ln2*s7a + 1514016000*ln2*s7b - 6523632675*s8a - 
    40802328000*s8b - 4038048000*s8c - 4457376000*s8d + 
    84672000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 + 
    13190688000*s6*z2 - 983203200*li4half*z2^2 - 17623200*ln2^4*z2^2 - 
    741031200*ln2^2*z2^3 + 1472747832*z2^4 + 8745408000*li5half*z3 + 
    254016000*li4half*ln2*z3 - 62294400*ln2^5*z3 + 672924000*ln2^3*z2*z3 + 
    4787508600*ln2*z2^2*z3 - 1010520000*ln2^2*z3^2 + 4834872000*z2*z3^2 - 
    2749194000*ln2^3*z5 + 7328916000*ln2*z2*z5 - 8581269375*z3*z5 + 
    12369160125*ln2*z7)/56448000, H[-1, 1, -1, -1, 0, 1, -1, -1, 1] -> 
  (84672000*li4half^2 - 14394240000*li8half - 2878848000*li7half*ln2 + 
    9408000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 184800*ln2^8 + 
    2727648000*ln2^2*s6 - 804384000*ln2*s7a + 1044288000*ln2*s7b - 
    6007322475*s8a - 36988056000*s8b - 4058208000*s8c - 3604608000*s8d + 
    254016000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    155232000*li4half*ln2^2*z2 - 8271200*ln2^6*z2 + 11252304000*s6*z2 - 
    801360000*li4half*z2^2 + 44872800*ln2^4*z2^2 - 535449600*ln2^2*z2^3 + 
    1027967904*z2^4 + 7223328000*li5half*z3 + 282240000*li4half*ln2*z3 - 
    48434400*ln2^5*z3 + 409668000*ln2^3*z2*z3 + 4484982600*ln2*z2^2*z3 - 
    395104500*ln2^2*z3^2 + 4436113500*z2*z3^2 - 1746507000*ln2^3*z5 + 
    8916075000*ln2*z2*z5 - 6499906875*z3*z5 + 8045934750*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 0, 0, 1, 1, 1] -> 
  (-98784000*li4half^2 + 282240000*li8half + 112896000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 5880000*li4half*ln2^4 - 
    128100*ln2^8 + 52920000*ln2^2*s6 - 72576000*ln2*s7a + 26208000*ln2*s7b - 
    74094300*s8a - 326088000*s8b - 24192000*s8c - 74592000*s8d - 
    28224000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    35280000*li4half*ln2^2*z2 + 1548400*ln2^6*z2 + 230328000*s6*z2 + 
    50702400*li4half*z2^2 - 2415000*ln2^4*z2^2 - 30592800*ln2^2*z2^3 + 
    6250392*z2^4 + 156240000*li5half*z3 - 130536000*li4half*ln2*z3 - 
    6741000*ln2^5*z3 + 45654000*ln2^3*z2*z3 + 110867400*ln2*z2^2*z3 - 
    113337000*ln2^2*z3^2 + 66213000*z2*z3^2 - 95770500*ln2^3*z5 - 
    7276500*ln2*z2*z5 - 401664375*z3*z5 - 9064125*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, 0, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    6048000*ln2^2*s6 + 16128000*ln2*s7a - 26208000*ln2*s7b - 9511425*s8a - 
    8064000*s8b + 26208000*s8c - 40320000*s8d + 28224000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 784000*ln2^6*z2 + 
    55944000*s6*z2 + 63201600*li4half*z2^2 + 5808600*ln2^4*z2^2 - 
    36472800*ln2^2*z2^3 - 14369688*z2^4 - 32256000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 319200*ln2^5*z3 + 3192000*ln2^3*z2*z3 + 
    85881600*ln2*z2^2*z3 - 6678000*ln2^2*z3^2 - 18553500*z2*z3^2 + 
    16611000*ln2^3*z5 + 72670500*ln2*z2*z5 - 25759125*z3*z5 - 
    246550500*ln2*z7)/28224000, H[-1, 1, -1, -1, 0, 0, 1, -1, 1] -> 
  (-5644800*li4half^2 - 11289600*li8half - 22579200*li7half*ln2 - 
    5644800*li6half*ln2^2 - 1881600*li5half*ln2^3 - 940800*li4half*ln2^4 - 
    17360*ln2^8 - 38808000*ln2^2*s6 - 7660800*ln2*s7a - 49996800*ln2*s7b + 
    126770175*s8a + 657518400*s8b + 99993600*s8c + 65116800*s8d + 
    5644800*li6half*z2 + 14112000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 470400*ln2^6*z2 - 216316800*s6*z2 + 
    26712000*li4half*z2^2 - 1338960*ln2^4*z2^2 + 20371680*ln2^2*z2^3 - 
    843156*z2^4 - 138700800*li5half*z3 - 52920000*li4half*ln2*z3 - 
    1131480*ln2^5*z3 + 1965600*ln2^3*z2*z3 - 60134760*ln2*z2^2*z3 - 
    25401600*ln2^2*z3^2 - 103572000*z2*z3^2 + 36470700*ln2^3*z5 - 
    171240300*ln2*z2*z5 + 218425725*z3*z5 - 290069325*ln2*z7)/5644800, 
 H[-1, 1, -1, -1, 0, 0, 0, 1, 1] -> 
  (-150192000*ln2^2*s6 + 108864000*ln2*s7a - 74592000*ln2*s7b + 
    269983350*s8a + 1431360000*s8b + 153216000*s8c + 185472000*s8d + 
    56448000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 784000*ln2^6*z2 - 568512000*s6*z2 - 
    6652800*li4half*z2^2 - 4275600*ln2^4*z2^2 + 59035200*ln2^2*z2^3 - 
    20849784*z2^4 - 378000000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    2856000*ln2^5*z3 - 25032000*ln2^3*z2*z3 - 235720800*ln2*z2^2*z3 + 
    79033500*ln2^2*z3^2 - 178636500*z2*z3^2 + 186396000*ln2^3*z5 - 
    327411000*ln2*z2*z5 + 563747625*z3*z5 - 293753250*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, 0, 0, 0, 0, 1] -> 
  (672000*ln2*s7b - 994350*s8a - 4704000*s8b - 672000*s8c + 1176000*s6*z2 - 
    873600*li4half*z2^2 - 36400*ln2^4*z2^2 + 351600*ln2^2*z2^3 + 
    273984*z2^4 + 1008000*li5half*z3 + 1008000*li4half*ln2*z3 + 
    33600*ln2^5*z3 - 168000*ln2^3*z2*z3 - 117600*ln2*z2^2*z3 + 
    346500*ln2^2*z3^2 + 5250*z2*z3^2 - 539000*ln2^3*z5 - 619500*ln2*z2*z5 - 
    553875*z3*z5 + 4704000*ln2*z7)/672000, 
 H[-1, 1, -1, -1, 0, 0, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    187488000*ln2^2*s6 + 108864000*ln2*s7a + 66528000*ln2*s7b + 
    194775525*s8a + 1094688000*s8b + 86688000*s8c + 181440000*s8d + 
    28224000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1960000*ln2^6*z2 - 458136000*s6*z2 - 
    90014400*li4half*z2^2 + 1129800*ln2^4*z2^2 + 99674400*ln2^2*z2^3 - 
    7716936*z2^4 - 355824000*li5half*z3 + 204624000*li4half*ln2*z3 + 
    11491200*ln2^5*z3 - 78456000*ln2^3*z2*z3 - 308624400*ln2*z2^2*z3 + 
    134694000*ln2^2*z3^2 - 149026500*z2*z3^2 + 68796000*ln2^3*z5 - 
    570811500*ln2*z2*z5 + 560802375*z3*z5 + 429045750*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, 0, 0, -1, 1, 1] -> 
  (-20160000*li4half^2 - 48384000*li8half - 8064000*li7half*ln2 - 
    4032000*li6half*ln2^2 - 1344000*li5half*ln2^3 - 2016000*li4half*ln2^4 - 
    43000*ln2^8 + 29160000*ln2^2*s6 - 2448000*ln2*s7a + 576000*ln2*s7b - 
    67997475*s8a - 406224000*s8b - 40320000*s8c - 58464000*s8d + 
    4032000*li6half*z2 - 2016000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 
    330400*ln2^6*z2 + 159768000*s6*z2 - 4435200*li4half*z2^2 - 
    336000*ln2^4*z2^2 - 20156400*ln2^2*z2^3 + 11079144*z2^4 + 
    121464000*li5half*z3 - 6048000*li4half*ln2*z3 - 1323000*ln2^5*z3 + 
    12600000*ln2^3*z2*z3 + 60541200*ln2*z2^2*z3 - 4792500*ln2^2*z3^2 + 
    57928500*z2*z3^2 + 336000*ln2^3*z5 + 133002000*ln2*z2*z5 - 
    177541875*z3*z5 + 13449375*ln2*z7)/4032000, 
 H[-1, 1, -1, -1, 0, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    1008000*ln2^2*s6 + 6048000*ln2*s7a + 4032000*ln2*s7b - 9758700*s8a - 
    39816000*s8b - 4032000*s8c - 2016000*s8d - 4032000*li6half*z2 - 
    4032000*li5half*ln2*z2 - 6048000*li4half*ln2^2*z2 - 224000*ln2^6*z2 + 
    11592000*s6*z2 + 5947200*li4half*z2^2 + 1180200*ln2^4*z2^2 - 
    3012000*ln2^2*z2^3 - 2785392*z2^4 + 6048000*li5half*z3 + 
    16128000*li4half*ln2*z3 + 621600*ln2^5*z3 - 3864000*ln2^3*z2*z3 + 
    8958600*ln2*z2^2*z3 + 7308000*ln2^2*z3^2 + 1764000*z2*z3^2 - 
    1071000*ln2^3*z5 + 13324500*ln2*z2*z5 - 5418000*z3*z5 + 22640625*ln2*z7)/
   4032000, H[-1, 1, -1, -1, 0, 0, -1, -1, 1] -> 
  (42336000*li4half^2 + 56448000*li7half*ln2 + 28224000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 + 5880000*li4half*ln2^4 + 121100*ln2^8 - 
    16632000*ln2^2*s6 - 13104000*ln2*s7a + 78624000*ln2*s7b - 40334175*s8a - 
    308952000*s8b - 4032000*s8c - 80640000*s8d - 28224000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 1391600*ln2^6*z2 + 203616000*s6*z2 - 
    54230400*li4half*z2^2 + 2444400*ln2^4*z2^2 + 16480800*ln2^2*z2^3 + 
    35149932*z2^4 + 178920000*li5half*z3 + 91728000*li4half*ln2*z3 + 
    2331000*ln2^5*z3 - 8022000*ln2^3*z2*z3 + 12549600*ln2*z2^2*z3 - 
    41832000*ln2^2*z3^2 + 23861250*z2*z3^2 - 98049000*ln2^3*z5 - 
    194166000*ln2*z2*z5 - 244510875*z3*z5 + 268718625*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, 0, -1, 1, 1, 1] -> 
  (-60480000*li4half^2 - 2096640000*li8half - 435456000*li7half*ln2 + 
    12096000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    118200*ln2^8 + 356400000*ln2^2*s6 - 111456000*ln2*s7a + 
    110304000*ln2*s7b - 760310775*s8a - 4834872000*s8b - 489888000*s8c - 
    485856000*s8d - 12096000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    10080000*li4half*ln2^2*z2 + 476000*ln2^6*z2 + 1459584000*s6*z2 - 
    63907200*li4half*z2^2 + 2814000*ln2^4*z2^2 - 71474400*ln2^2*z2^3 + 
    159829776*z2^4 + 1000944000*li5half*z3 - 40320000*li4half*ln2*z3 - 
    10021200*ln2^5*z3 + 76104000*ln2^3*z2*z3 + 602332200*ln2*z2^2*z3 - 
    85644000*ln2^2*z3^2 + 572985000*z2*z3^2 - 224427000*ln2^3*z5 + 
    1167507000*ln2*z2*z5 - 858697875*z3*z5 + 939787875*ln2*z7)/8064000, 
 H[-1, 1, -1, -1, 0, -1, 1, 0, 1] -> 
  (7902720000*li8half + 2709504000*li7half*ln2 + 338688000*li6half*ln2^2 - 
    4704000*li4half*ln2^4 - 67200*ln2^8 - 1465632000*ln2^2*s6 + 
    617904000*ln2*s7a - 786240000*ln2*s7b + 3212218800*s8a + 
    20399904000*s8b + 2048256000*s8c + 2157120000*s8d + 42336000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 509600*ln2^6*z2 - 
    6441624000*s6*z2 + 536558400*li4half*z2^2 + 6862800*ln2^4*z2^2 + 
    348364800*ln2^2*z2^3 - 685477152*z2^4 - 4398912000*li5half*z3 - 
    296352000*li4half*ln2*z3 + 24309600*ln2^5*z3 - 288666000*ln2^3*z2*z3 - 
    2297824200*ln2*z2^2*z3 + 400554000*ln2^2*z3^2 - 2372548500*z2*z3^2 + 
    1341375000*ln2^3*z5 - 3778299000*ln2*z2*z5 + 3939027750*z3*z5 - 
    6604203375*ln2*z7)/28224000, H[-1, 1, -1, -1, 0, -1, 1, -1, 1] -> 
  (-12700800*li4half^2 + 1346284800*li8half + 287884800*li7half*ln2 - 
    4233600*li6half*ln2^2 - 5174400*li5half*ln2^3 - 1411200*li4half*ln2^4 - 
    23240*ln2^8 - 241164000*ln2^2*s6 + 55036800*ln2*s7a - 104428800*ln2*s7b + 
    541792125*s8a + 3334867200*s8b + 374371200*s8c + 309355200*s8d + 
    4233600*li6half*z2 + 15523200*li5half*ln2*z2 + 
    21168000*li4half*ln2^2*z2 + 944720*ln2^6*z2 - 961632000*s6*z2 + 
    74995200*li4half*z2^2 - 4372200*ln2^4*z2^2 + 43238160*ln2^2*z2^3 - 
    91256202*z2^4 - 626472000*li5half*z3 - 46569600*li4half*ln2*z3 + 
    3218460*ln2^5*z3 - 27774600*ln2^3*z2*z3 - 385509600*ln2*z2^2*z3 + 
    15290100*ln2^2*z3^2 - 409903200*z2*z3^2 + 157385550*ln2^3*z5 - 
    820080450*ln2*z2*z5 + 532312200*z3*z5 - 844118100*ln2*z7)/2822400, 
 H[-1, 1, -1, -1, 0, -1, 0, 1, 1] -> 
  (10584000*li4half^2 - 79027200*li8half - 39513600*li7half*ln2 - 
    8467200*li6half*ln2^2 - 940800*li5half*ln2^3 + 882000*li4half*ln2^4 + 
    20335*ln2^8 + 5770800*ln2^2*s6 + 1663200*ln2*s7a + 8366400*ln2*s7b - 
    16528050*s8a - 105336000*s8b - 15926400*s8c - 2772000*s8d - 
    4233600*li6half*z2 + 1411200*li5half*ln2*z2 - 3175200*li4half*ln2^2*z2 - 
    161700*ln2^6*z2 + 13305600*s6*z2 - 9797760*li4half*z2^2 - 
    74550*ln2^4*z2^2 + 2153340*ln2^2*z2^3 + 4114161*z2^4 + 
    5014800*li5half*z3 + 15876000*li4half*ln2*z3 + 660870*ln2^5*z3 - 
    3286500*ln2^3*z2*z3 + 1101240*ln2*z2^2*z3 + 8320725*ln2^2*z3^2 + 
    12683475*z2*z3^2 - 6166650*ln2^3*z5 + 15353100*ln2*z2*z5 + 
    20150550*z3*z5 + 85357125*ln2*z7)/1411200, 
 H[-1, 1, -1, -1, 0, -1, 0, 0, 1] -> 
  (20160000*ln2^2*s6 - 17472000*ln2*s7a + 24864000*ln2*s7b - 57633975*s8a - 
    277872000*s8b - 38304000*s8c - 22848000*s8d - 56448000*li6half*z2 - 
    18816000*li5half*ln2*z2 + 78400*ln2^6*z2 + 72744000*s6*z2 - 
    47611200*li4half*z2^2 - 2787400*ln2^4*z2^2 + 9839200*ln2^2*z2^3 + 
    24187864*z2^4 + 76272000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    246400*ln2^5*z3 + 2632000*ln2^3*z2*z3 - 5023200*ln2*z2^2*z3 - 
    5796000*ln2^2*z3^2 + 56952000*z2*z3^2 - 32389000*ln2^3*z5 + 
    20044500*ln2*z2*z5 - 121923375*z3*z5 + 187404000*ln2*z7)/9408000, 
 H[-1, 1, -1, -1, 0, -1, 0, -1, 1] -> 
  (67737600*li4half^2 + 338688000*li8half + 158054400*li7half*ln2 + 
    33868800*li6half*ln2^2 + 3763200*li5half*ln2^3 + 5644800*li4half*ln2^4 + 
    110320*ln2^8 - 90619200*ln2^2*s6 + 90921600*ln2*s7a + 41529600*ln2*s7b + 
    69835500*s8a + 687657600*s8b + 3628800*s8c + 136080000*s8d - 
    59270400*li6half*z2 - 14112000*li5half*ln2*z2 - 
    29635200*li4half*ln2^2*z2 - 1168160*ln2^6*z2 - 348364800*s6*z2 - 
    28244160*li4half*z2^2 + 1674960*ln2^4*z2^2 + 40320000*ln2^2*z2^3 - 
    37453644*z2^4 - 265104000*li5half*z3 + 114307200*li4half*ln2*z3 + 
    6972000*ln2^5*z3 - 49316400*ln2^3*z2*z3 - 160655040*ln2*z2^2*z3 + 
    111333600*ln2^2*z3^2 - 31827600*z2*z3^2 + 53831400*ln2^3*z5 - 
    162603000*ln2*z2*z5 + 236668950*z3*z5 + 241140375*ln2*z7)/5644800, 
 H[-1, 1, -1, -1, 0, -1, -1, 1, 1] -> 
  (-84672000*li4half^2 - 12700800000*li8half - 3048192000*li7half*ln2 - 
    84672000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 18816000*li4half*ln2^4 - 
    543200*ln2^8 + 1841616000*ln2^2*s6 - 362880000*ln2*s7a + 
    427392000*ln2*s7b - 3914468775*s8a - 25684344000*s8b - 2703456000*s8c - 
    2376864000*s8d + 84672000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1097600*ln2^6*z2 + 7166880000*s6*z2 - 
    475372800*li4half*z2^2 + 23469600*ln2^4*z2^2 - 316159200*ln2^2*z2^3 + 
    806166576*z2^4 + 4704336000*li5half*z3 + 77616000*li4half*ln2*z3 - 
    35968800*ln2^5*z3 + 250908000*ln2^3*z2*z3 + 2980719000*ln2*z2^2*z3 - 
    14553000*ln2^2*z3^2 + 2943108000*z2*z3^2 - 721182000*ln2^3*z5 + 
    6820065000*ln2*z2*z5 - 2891093625*z3*z5 + 4952808000*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, 0, -1, -1, 0, 1] -> 
  (38640000*ln2^2*s6 - 22848000*ln2*s7a + 66528000*ln2*s7b - 146303850*s8a - 
    566160000*s8b - 102144000*s8c - 24864000*s8d - 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 392000*ln2^6*z2 + 
    120288000*s6*z2 - 3561600*li4half*z2^2 + 1713600*ln2^4*z2^2 - 
    11743200*ln2^2*z2^3 + 761304*z2^4 + 155568000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 1055600*ln2^5*z3 - 952000*ln2^3*z2*z3 + 
    80581200*ln2*z2^2*z3 - 1039500*ln2^2*z3^2 + 133497000*z2*z3^2 - 
    72471000*ln2^3*z5 + 163338000*ln2*z2*z5 - 333679500*z3*z5 + 
    379561875*ln2*z7)/18816000, H[-1, 1, -1, -1, 0, -1, -1, -1, 1] -> 
  (169344000*li4half^2 + 451584000*li8half + 169344000*li7half*ln2 + 
    42336000*li6half*ln2^2 + 14112000*li5half*ln2^3 + 
    17640000*li4half*ln2^4 + 359800*ln2^8 - 183960000*ln2^2*s6 + 
    179424000*ln2*s7a + 151200000*ln2*s7b + 92540700*s8a + 1031184000*s8b - 
    12096000*s8c + 223776000*s8d - 141120000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 105840000*li4half*ln2^2*z2 - 4096400*ln2^6*z2 - 
    553392000*s6*z2 - 90720000*li4half*z2^2 + 7509600*ln2^4*z2^2 + 
    85730400*ln2^2*z2^3 - 35629128*z2^4 - 405216000*li5half*z3 + 
    317520000*li4half*ln2*z3 + 16812600*ln2^5*z3 - 115206000*ln2^3*z2*z3 - 
    311799600*ln2*z2^2*z3 + 206797500*ln2^2*z3^2 - 45171000*z2*z3^2 + 
    25651500*ln2^3*z5 - 463428000*ln2*z2*z5 + 384898500*z3*z5 + 
    908688375*ln2*z7)/28224000, H[-1, 1, -1, -1, -1, 1, 1, 1, 1] -> 
  (-84672000*li4half^2 + 677376000*li8half + 169344000*li7half*ln2 - 
    9408000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 182000*ln2^8 - 
    181440000*ln2^2*s6 + 10080000*ln2*s7a - 159264000*ln2*s7b + 
    357137550*s8a + 2224656000*s8b + 342720000*s8c + 137088000*s8d + 
    28224000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 2116800*ln2^6*z2 - 
    514080000*s6*z2 + 95155200*li4half*z2^2 - 5325600*ln2^4*z2^2 + 
    17724000*ln2^2*z2^3 + 1972608*z2^4 - 288288000*li5half*z3 - 
    162288000*li4half*ln2*z3 - 3418800*ln2^5*z3 + 16548000*ln2^3*z2*z3 - 
    176526000*ln2*z2^2*z3 - 63819000*ln2^2*z3^2 - 311283000*z2*z3^2 + 
    210798000*ln2^3*z5 - 695268000*ln2*z2*z5 + 184479750*z3*z5 - 
    972066375*ln2*z7)/56448000, H[-1, 1, -1, -1, -1, 1, 1, 0, 1] -> 
  (-169344000*li4half^2 - 1354752000*li8half - 846720000*li7half*ln2 - 
    254016000*li6half*ln2^2 - 47040000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 316400*ln2^8 + 315504000*ln2^2*s6 - 
    197568000*ln2*s7a + 197568000*ln2*s7b - 525314475*s8a - 3028536000*s8b - 
    489888000*s8c - 159264000*s8d + 169344000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    3998400*ln2^6*z2 + 685440000*s6*z2 + 103622400*li4half*z2^2 - 
    7207200*ln2^4*z2^2 - 99237600*ln2^2*z2^3 - 17163096*z2^4 + 
    304416000*li5half*z3 - 324576000*li4half*ln2*z3 - 16119600*ln2^5*z3 + 
    120624000*ln2^3*z2*z3 + 436804200*ln2*z2^2*z3 - 151389000*ln2^2*z3^2 + 
    469066500*z2*z3^2 - 346626000*ln2^3*z5 + 908712000*ln2*z2*z5 - 
    314566875*z3*z5 + 1469742750*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, -1, 1, 1, -1, 1] -> 
  (-146764800*li8half - 45158400*li7half*ln2 - 5644800*li6half*ln2^2 - 
    2800*ln2^8 + 41731200*ln2^2*s6 - 12902400*ln2*s7a + 18144000*ln2*s7b - 
    70178850*s8a - 384451200*s8b - 54835200*s8c - 38304000*s8d + 
    5644800*li6half*z2 + 47040*ln2^6*z2 + 121766400*s6*z2 - 
    7660800*li4half*z2^2 + 127680*ln2^4*z2^2 - 8564640*ln2^2*z2^3 + 
    15169272*z2^4 + 76608000*li5half*z3 - 908880*ln2^5*z3 + 
    7207200*ln2^3*z2*z3 + 51811200*ln2*z2^2*z3 - 8240400*ln2^2*z3^2 + 
    59648400*z2*z3^2 - 40336800*ln2^3*z5 + 141019200*ln2*z2*z5 - 
    117624150*z3*z5 + 4005225*ln2*z7)/11289600, 
 H[-1, 1, -1, -1, -1, 1, 0, 1, 1] -> 
  (183456000*li4half^2 + 1241856000*li8half + 592704000*li7half*ln2 + 
    141120000*li6half*ln2^2 + 28224000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 437500*ln2^8 - 189504000*ln2^2*s6 + 
    144144000*ln2*s7a - 46368000*ln2*s7b + 374223150*s8a + 2148048000*s8b + 
    189504000*s8c + 219744000*s8d + 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 112896000*li4half*ln2^2*z2 - 4841200*ln2^6*z2 - 
    622944000*s6*z2 - 104227200*li4half*z2^2 + 8916600*ln2^4*z2^2 + 
    65898000*ln2^2*z2^3 - 106914516*z2^4 - 432432000*li5half*z3 + 
    338688000*li4half*ln2*z3 + 18391800*ln2^5*z3 - 113946000*ln2^3*z2*z3 - 
    383203800*ln2*z2^2*z3 + 212294250*ln2^2*z3^2 - 302321250*z2*z3^2 + 
    148690500*ln2^3*z5 - 342562500*ln2*z2*z5 + 537736500*z3*z5 - 
    708238125*ln2*z7)/28224000, H[-1, 1, -1, -1, -1, 1, 0, 0, 1] -> 
  (169344000*li4half^2 - 564480000*li8half - 225792000*li7half*ln2 + 
    18816000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 364000*ln2^8 + 
    73584000*ln2^2*s6 - 100800000*ln2*s7a + 82656000*ln2*s7b - 
    282490425*s8a - 1521576000*s8b - 30240000*s8c - 266112000*s8d + 
    169344000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 3332000*ln2^6*z2 + 793296000*s6*z2 - 
    198576000*li4half*z2^2 - 1159200*ln2^4*z2^2 - 9122400*ln2^2*z2^3 + 
    155954592*z2^4 + 419328000*li5half*z3 + 197568000*li4half*ln2*z3 + 
    5090400*ln2^5*z3 - 10332000*ln2^3*z2*z3 + 58375800*ln2*z2^2*z3 - 
    57141000*ln2^2*z3^2 + 144175500*z2*z3^2 - 160083000*ln2^3*z5 - 
    348327000*ln2*z2*z5 - 715703625*z3*z5 + 815495625*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, -1, 1, 0, -1, 1] -> 
  (183456000*li4half^2 + 28224000*li8half - 141120000*li7half*ln2 - 
    28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 
    376600*ln2^8 + 60984000*ln2^2*s6 - 47376000*ln2*s7a + 213696000*ln2*s7b - 
    263388825*s8a - 1509480000*s8b - 161280000*s8c - 184464000*s8d + 
    112896000*li6half*z2 - 105840000*li4half*ln2^2*z2 - 4351200*ln2^6*z2 + 
    644112000*s6*z2 - 185068800*li4half*z2^2 + 2990400*ln2^4*z2^2 - 
    19353600*ln2^2*z2^3 + 19729068*z2^4 + 368928000*li5half*z3 + 
    335160000*li4half*ln2*z3 + 11037600*ln2^5*z3 - 47754000*ln2^3*z2*z3 + 
    38127600*ln2*z2^2*z3 + 4693500*ln2^2*z3^2 + 152712000*z2*z3^2 - 
    228438000*ln2^3*z5 - 237384000*ln2*z2*z5 - 461608875*z3*z5 + 
    1571472000*ln2*z7)/28224000, H[-1, 1, -1, -1, -1, 1, -1, 1, 1] -> 
  (-4032000*li8half - 2096640*li7half*ln2 - 564480*li6half*ln2^2 - 
    80640*li5half*ln2^3 + 200*ln2^8 + 843840*ln2^2*s6 - 339840*ln2*s7a + 
    426240*ln2*s7b - 1106910*s8a - 7701120*s8b - 1370880*s8c - 201600*s8d + 
    564480*li6half*z2 + 241920*li5half*ln2*z2 - 2016*ln2^6*z2 + 
    1370880*s6*z2 - 40320*li4half*z2^2 + 14784*ln2^4*z2^2 - 
    144096*ln2^2*z2^3 - 234732*z2^4 + 282240*li5half*z3 - 2688*ln2^5*z3 + 
    683352*ln2*z2^2*z3 + 269460*ln2^2*z3^2 + 729540*z2*z3^2 - 
    732480*ln2^3*z5 + 2807640*ln2*z2*z5 + 1787940*z3*z5 + 3804525*ln2*z7)/
   161280, H[-1, 1, -1, -1, -1, 1, -1, 0, 1] -> 
  (483840*li4half^2 + 2688000*li8half + 1720320*li7half*ln2 + 
    537600*li6half*ln2^2 + 107520*li5half*ln2^3 + 53760*li4half*ln2^4 + 
    976*ln2^8 - 516480*ln2^2*s6 + 207360*ln2*s7a - 357120*ln2*s7b + 
    737940*s8a + 5134080*s8b + 913920*s8c + 134400*s8d - 215040*li6half*z2 - 
    107520*li5half*ln2*z2 - 241920*li4half*ln2^2*z2 - 9856*ln2^6*z2 - 
    806400*s6*z2 - 327936*li4half*z2^2 + 11648*ln2^4*z2^2 + 
    187872*ln2^2*z2^3 + 202568*z2^4 - 537600*li5half*z3 + 
    604800*li4half*ln2*z3 + 30576*ln2^5*z3 - 207200*ln2^3*z2*z3 - 
    785040*ln2*z2^2*z3 + 176880*ln2^2*z3^2 - 553560*z2*z3^2 + 
    538720*ln2^3*z5 - 1865760*ln2*z2*z5 - 764400*z3*z5 - 3089505*ln2*z7)/
   107520, H[-1, 1, -1, -1, -1, 1, -1, -1, 1] -> 
  (63504000*li4half^2 + 395136000*li8half + 225792000*li7half*ln2 + 
    70560000*li6half*ln2^2 + 14112000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    129500*ln2^8 - 73584000*ln2^2*s6 + 29232000*ln2*s7a - 6048000*ln2*s7b + 
    92879325*s8a + 552384000*s8b + 88704000*s8c + 17136000*s8d - 
    70560000*li6half*z2 - 42336000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1587600*ln2^6*z2 - 87192000*s6*z2 - 
    47376000*li4half*z2^2 + 1877400*ln2^4*z2^2 + 25233600*ln2^2*z2^3 + 
    10087092*z2^4 - 13104000*li5half*z3 + 121716000*li4half*ln2*z3 + 
    5518800*ln2^5*z3 - 32550000*ln2^3*z2*z3 - 95860800*ln2*z2^2*z3 + 
    29358000*ln2^2*z3^2 - 83286000*z2*z3^2 + 43585500*ln2^3*z5 - 
    275467500*ln2*z2*z5 - 29460375*z3*z5 - 157893750*ln2*z7)/14112000, 
 H[-1, 1, -1, -1, -1, 0, 1, 1, 1] -> 
  (-28224000*li4half^2 - 395136000*li7half*ln2 - 197568000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 29400*ln2^8 + 
    37296000*ln2^2*s6 - 34272000*ln2*s7a + 135072000*ln2*s7b - 98620200*s8a - 
    384048000*s8b - 133056000*s8c + 48384000*s8d + 197568000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 431200*ln2^6*z2 + 
    9072000*s6*z2 + 15321600*li4half*z2^2 + 344400*ln2^4*z2^2 - 
    13759200*ln2^2*z2^3 - 66787992*z2^4 - 33264000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 487200*ln2^5*z3 + 3696000*ln2^3*z2*z3 + 
    51206400*ln2*z2^2*z3 - 42871500*ln2^2*z3^2 + 118093500*z2*z3^2 - 
    165816000*ln2^3*z5 + 2394000*ln2*z2*z5 - 128047500*z3*z5 + 
    1060093125*ln2*z7)/56448000, H[-1, 1, -1, -1, -1, 0, 1, 0, 1] -> 
  (3225600*li4half^2 - 70963200*li8half - 25804800*li7half*ln2 - 
    3225600*li6half*ln2^2 + 268800*li4half*ln2^4 + 4480*ln2^8 + 
    11030400*ln2^2*s6 - 4780800*ln2*s7a + 8121600*ln2*s7b - 27375075*s8a - 
    188395200*s8b - 14112000*s8c - 24595200*s8d - 5644800*li6half*z2 - 
    3225600*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 56000*ln2^6*z2 + 
    66729600*s6*z2 - 7136640*li4half*z2^2 - 60480*ln2^4*z2^2 - 
    3144000*ln2^2*z2^3 + 8569272*z2^4 + 42739200*li5half*z3 + 
    4032000*li4half*ln2*z3 - 208320*ln2^5*z3 + 2553600*ln2^3*z2*z3 + 
    19067400*ln2*z2^2*z3 - 5724000*ln2^2*z3^2 + 17696700*z2*z3^2 - 
    12843600*ln2^3*z5 + 18428400*ln2*z2*z5 - 31457475*z3*z5 + 
    70456725*ln2*z7)/1612800, H[-1, 1, -1, -1, -1, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 - 1659571200*li8half - 282240000*li7half*ln2 + 
    39513600*li6half*ln2^2 + 7526400*li5half*ln2^3 - 3763200*li4half*ln2^4 - 
    100800*ln2^8 + 240105600*ln2^2*s6 - 35884800*ln2*s7a + 43142400*ln2*s7b - 
    518392350*s8a - 3334262400*s8b - 354816000*s8c - 285868800*s8d - 
    39513600*li6half*z2 + 45158400*li5half*ln2*z2 + 
    39513600*li4half*ln2^2*z2 + 1207360*ln2^6*z2 + 865267200*s6*z2 - 
    32336640*li4half*z2^2 - 218400*ln2^4*z2^2 - 23940000*ln2^2*z2^3 + 
    95312808*z2^4 + 537868800*li5half*z3 - 79027200*li4half*ln2*z3 - 
    7845600*ln2^5*z3 + 48350400*ln2^3*z2*z3 + 407841840*ln2*z2^2*z3 - 
    22743000*ln2^2*z3^2 + 396912600*z2*z3^2 - 78939000*ln2^3*z5 + 
    874654200*ln2*z2*z5 - 292619250*z3*z5 + 608512275*ln2*z7)/11289600, 
 H[-1, 1, -1, -1, -1, 0, 0, 1, 1] -> 
  (-63504000*li4half^2 + 141120000*li8half + 84672000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 4704000*li5half*ln2^3 - 5292000*li4half*ln2^4 - 
    123550*ln2^8 + 19908000*ln2^2*s6 - 19152000*ln2*s7a - 26208000*ln2*s7b + 
    11506950*s8a + 288540000*s8b + 2016000*s8c + 47376000*s8d - 
    70560000*li6half*z2 - 42336000*li5half*ln2*z2 + 
    24696000*li4half*ln2^2*z2 + 1342600*ln2^6*z2 - 149436000*s6*z2 + 
    59220000*li4half*z2^2 - 2148300*ln2^4*z2^2 - 9559200*ln2^2*z2^3 - 
    8135088*z2^4 - 13608000*li5half*z3 - 88200000*li4half*ln2*z3 - 
    3679200*ln2^5*z3 + 19740000*ln2^3*z2*z3 + 41113800*ln2*z2^2*z3 - 
    32933250*ln2^2*z3^2 + 12710250*z2*z3^2 + 5733000*ln2^3*z5 + 
    74025000*ln2*z2*z5 - 91436625*z3*z5 - 243298125*ln2*z7)/14112000, 
 H[-1, 1, -1, -1, -1, 0, 0, 0, 1] -> 
  (-63504000*ln2^2*s6 + 38304000*ln2*s7a - 46368000*ln2*s7b + 140004900*s8a + 
    494424000*s8b + 92736000*s8c + 34272000*s8d + 56448000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 156800*ln2^6*z2 - 128520000*s6*z2 + 
    10382400*li4half*z2^2 + 2020200*ln2^4*z2^2 + 16380000*ln2^2*z2^3 - 
    16627896*z2^4 - 167328000*li5half*z3 - 21168000*li4half*ln2*z3 + 
    512400*ln2^5*z3 - 11004000*ln2^3*z2*z3 - 61563600*ln2*z2^2*z3 + 
    22491000*ln2^2*z3^2 - 115416000*z2*z3^2 + 72618000*ln2^3*z5 - 
    125685000*ln2*z2*z5 + 323536500*z3*z5 - 320268375*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, -1, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 225792000*li8half - 169344000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    70000*ln2^8 - 88200000*ln2^2*s6 - 34272000*ln2*s7a - 133056000*ln2*s7b + 
    292242825*s8a + 1427832000*s8b + 237888000*s8c + 107856000*s8d + 
    14112000*li6half*z2 + 21168000*li4half*ln2^2*z2 + 744800*ln2^6*z2 - 
    413280000*s6*z2 + 64612800*li4half*z2^2 + 781200*ln2^4*z2^2 + 
    38623200*ln2^2*z2^3 + 41440332*z2^4 - 131040000*li5half*z3 - 
    70560000*li4half*ln2*z3 - 1612800*ln2^5*z3 + 2016000*ln2^3*z2*z3 - 
    104605200*ln2*z2^2*z3 - 44982000*ln2^2*z3^2 - 234864000*z2*z3^2 + 
    88788000*ln2^3*z5 - 299439000*ln2*z2*z5 + 290327625*z3*z5 - 
    975618000*ln2*z7)/28224000, H[-1, 1, -1, -1, -1, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 + 9088128000*li8half + 2370816000*li7half*ln2 + 
    197568000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 156800*ln2^8 - 1029168000*ln2^2*s6 + 
    254016000*ln2*s7a - 268128000*ln2*s7b + 2184254100*s8a + 
    15374016000*s8b + 1536192000*s8c + 1328544000*s8d - 
    197568000*li6half*z2 - 451584000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 2038400*ln2^6*z2 - 4082400000*s6*z2 + 
    274176000*li4half*z2^2 - 7980000*ln2^4*z2^2 + 21420000*ln2^2*z2^3 - 
    492531624*z2^4 - 2233728000*li5half*z3 + 162288000*li4half*ln2*z3 + 
    25023600*ln2^5*z3 - 138516000*ln2^3*z2*z3 - 1608390000*ln2*z2^2*z3 + 
    15498000*ln2^2*z3^2 - 1557864000*z2*z3^2 + 493920000*ln2^3*z5 - 
    3430224000*ln2*z2*z5 + 228312000*z3*z5 - 3459038625*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, -1, 0, -1, 0, 1] -> 
  (56448000*li4half^2 - 1241856000*li8half - 451584000*li7half*ln2 - 
    56448000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 78400*ln2^8 + 
    74088000*ln2^2*s6 - 16128000*ln2*s7a + 40320000*ln2*s7b - 189515025*s8a - 
    2329992000*s8b - 52416000*s8c - 378000000*s8d + 98784000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 + 
    1002960000*s6*z2 - 111585600*li4half*z2^2 + 1377600*ln2^4*z2^2 - 
    24410400*ln2^2*z2^3 + 112247556*z2^4 + 473760000*li5half*z3 + 
    28224000*li4half*ln2*z3 - 3242400*ln2^5*z3 + 32424000*ln2^3*z2*z3 + 
    175518000*ln2*z2^2*z3 - 79380000*ln2^2*z3^2 + 46368000*z2*z3^2 - 
    80556000*ln2^3*z5 + 58212000*ln2*z2*z5 + 71859375*z3*z5 + 
    570024000*ln2*z7)/28224000, H[-1, 1, -1, -1, -1, 0, -1, -1, 1] -> 
  (-903168000*li8half - 564480000*li7half*ln2 - 197568000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 2352000*li4half*ln2^4 + 30800*ln2^8 + 
    166320000*ln2^2*s6 - 241920000*ln2*s7a + 54432000*ln2*s7b - 
    185081400*s8a - 2062368000*s8b + 24192000*s8c - 447552000*s8d + 
    282240000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 1106784000*s6*z2 - 
    89510400*li4half*z2^2 - 907200*ln2^4*z2^2 - 42890400*ln2^2*z2^3 + 
    125448336*z2^4 + 866880000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    7988400*ln2^5*z3 + 78708000*ln2^3*z2*z3 + 311623200*ln2*z2^2*z3 - 
    313740000*ln2^2*z3^2 + 90342000*z2*z3^2 - 343539000*ln2^3*z5 - 
    72387000*ln2*z2*z5 - 826245000*z3*z5 + 359501625*ln2*z7)/56448000, 
 H[-1, 1, -1, -1, -1, -1, 1, 1, 1] -> 
  (-24192000*li8half + 16128000*li7half*ln2 + 8064000*li6half*ln2^2 + 
    1344000*li5half*ln2^3 - 4000*ln2^8 - 6048000*ln2^2*s6 + 2016000*ln2*s7a - 
    2016000*ln2*s7b + 5440050*s8a - 21168000*s8b + 12096000*s8c - 
    8064000*s8d - 8064000*li6half*z2 - 4032000*li5half*ln2*z2 + 
    56000*ln2^6*z2 + 12096000*s6*z2 - 1612800*li4half*z2^2 + 
    168000*ln2^4*z2^2 + 5162400*ln2^2*z2^3 + 6546528*z2^4 + 
    18144000*li5half*z3 - 344400*ln2^5*z3 + 2100000*ln2^3*z2*z3 + 
    1738800*ln2*z2^2*z3 - 8757000*ln2^2*z3^2 + 1827000*z2*z3^2 - 
    2772000*ln2^3*z5 - 10206000*ln2*z2*z5 - 26475750*z3*z5 - 20687625*ln2*z7)/
   8064000, H[-1, 1, -1, -1, -1, -1, 1, 0, 1] -> 
  (-12096000*li4half^2 + 18816000*li8half + 2688000*li7half*ln2 - 
    2688000*li6half*ln2^2 - 1344000*li5half*ln2^3 - 1344000*li4half*ln2^4 - 
    27600*ln2^8 - 336000*ln2^2*s6 - 672000*ln2*s7a - 3360000*ln2*s7b + 
    6986175*s8a + 55608000*s8b + 3360000*s8c + 6048000*s8d + 
    2688000*li6half*z2 + 2688000*li5half*ln2*z2 + 7392000*li4half*ln2^2*z2 + 
    313600*ln2^6*z2 - 17472000*s6*z2 + 10617600*li4half*z2^2 - 
    492800*ln2^4*z2^2 - 1905600*ln2^2*z2^3 - 4043592*z2^4 - 
    11424000*li5half*z3 - 20496000*li4half*ln2*z3 - 795200*ln2^5*z3 + 
    3892000*ln2^3*z2*z3 + 2499000*ln2*z2^2*z3 - 5859000*ln2^2*z3^2 - 
    7192500*z2*z3^2 + 2618000*ln2^3*z5 - 5544000*ln2*z2*z5 + 14529375*z3*z5 - 
    27045375*ln2*z7)/2688000, H[-1, 1, -1, -1, -1, -1, 1, -1, 1] -> 
  (-7257600*li4half^2 - 8064000*li7half*ln2 - 4032000*li6half*ln2^2 - 
    1075200*li5half*ln2^3 - 806400*li4half*ln2^4 - 16000*ln2^8 + 
    2016000*ln2^2*s6 - 2016000*ln2*s7a - 2016000*ln2*s7b + 
    4032000*li6half*z2 + 3225600*li5half*ln2*z2 + 4838400*li4half*ln2^2*z2 + 
    190400*ln2^6*z2 + 5806080*li4half*z2^2 - 409920*ln2^4*z2^2 - 
    2725920*ln2^2*z2^3 - 2082816*z2^4 - 1612800*li5half*z3 - 
    13910400*li4half*ln2*z3 - 562800*ln2^5*z3 + 3578400*ln2^3*z2*z3 + 
    5322240*ln2*z2^2*z3 - 5342400*ln2^2*z3^2 + 1075200*ln2^3*z5 + 
    2696400*ln2*z2*z5 + 1612800*z3*z5 + 2874375*ln2*z7)/1612800, 
 H[-1, 1, -1, -1, -1, -1, 0, 1, 1] -> 
  (42336000*li4half^2 - 1100736000*li8half - 451584000*li7half*ln2 - 
    70560000*li6half*ln2^2 - 4704000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 
    77000*ln2^8 + 132048000*ln2^2*s6 - 29232000*ln2*s7a + 62496000*ln2*s7b - 
    263209275*s8a - 1679832000*s8b - 205632000*s8c - 104832000*s8d - 
    70560000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 364896000*s6*z2 - 
    55540800*li4half*z2^2 + 1184400*ln2^4*z2^2 - 2973600*ln2^2*z2^3 + 
    71733996*z2^4 + 220248000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    1604400*ln2^5*z3 - 13104000*ln2^3*z2*z3 + 141246000*ln2*z2^2*z3 + 
    40115250*ln2^2*z3^2 + 179250750*z2*z3^2 - 84892500*ln2^3*z5 + 
    305644500*ln2*z2*z5 + 64157625*z3*z5 + 775293750*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, -1, -1, 0, 0, 1] -> 
  (338688000*li8half + 169344000*li7half*ln2 + 28224000*li6half*ln2^2 + 
    14000*ln2^8 - 19152000*ln2^2*s6 + 15120000*ln2*s7a - 20160000*ln2*s7b + 
    38883600*s8a + 501480000*s8b - 6048000*s8c + 97776000*s8d - 
    70560000*li6half*z2 - 14112000*li5half*ln2*z2 - 98000*ln2^6*z2 - 
    241416000*s6*z2 + 19555200*li4half*z2^2 + 1667400*ln2^4*z2^2 + 
    17438400*ln2^2*z2^3 - 23219964*z2^4 - 188496000*li5half*z3 + 
    1806000*ln2^5*z3 - 15708000*ln2^3*z2*z3 - 60895800*ln2*z2^2*z3 + 
    49738500*ln2^2*z3^2 + 16222500*z2*z3^2 + 43585500*ln2^3*z5 + 
    64354500*ln2*z2*z5 + 2047500*z3*z5 - 250448625*ln2*z7)/28224000, 
 H[-1, 1, -1, -1, -1, -1, 0, -1, 1] -> 
  (28224000*li8half + 112896000*li7half*ln2 + 35280000*li6half*ln2^2 + 
    2352000*li5half*ln2^3 + 7700*ln2^8 - 40320000*ln2^2*s6 + 
    43344000*ln2*s7a - 20160000*ln2*s7b + 46270350*s8a + 515592000*s8b - 
    6048000*s8c + 111888000*s8d - 70560000*li6half*z2 - 
    14112000*li5half*ln2*z2 - 78400*ln2^6*z2 - 276696000*s6*z2 + 
    22377600*li4half*z2^2 + 2196600*ln2^4*z2^2 + 31147200*ln2^2*z2^3 - 
    4267044*z2^4 - 216720000*li5half*z3 + 2041200*ln2^5*z3 - 
    22764000*ln2^3*z2*z3 - 76419000*ln2*z2^2*z3 + 83254500*ln2^2*z3^2 - 
    22585500*z2*z3^2 + 70927500*ln2^3*z5 + 22900500*ln2*z2*z5 + 
    206561250*z3*z5 - 306014625*ln2*z7)/14112000, 
 H[-1, 1, -1, -1, -1, -1, -1, 1, 1] -> 
  (6048000*li4half^2 + 32256000*li8half + 8064000*li7half*ln2 + 
    2016000*li6half*ln2^2 + 672000*li5half*ln2^3 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 1008000*ln2^2*s6 + 2016000*ln2*s7a + 2016000*ln2*s7b - 
    288225*s8a + 12600000*s8b - 2016000*s8c + 2016000*s8d - 
    2016000*li6half*z2 - 2016000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 
    173600*ln2^6*z2 - 4032000*s6*z2 - 4435200*li4half*z2^2 + 
    117600*ln2^4*z2^2 - 792000*ln2^2*z2^3 - 1832616*z2^4 - 
    3024000*li5half*z3 + 11592000*li4half*ln2*z3 + 604800*ln2^5*z3 - 
    3444000*ln2^3*z2*z3 - 5229000*ln2*z2^2*z3 + 6331500*ln2^2*z3^2 + 
    1291500*z2*z3^2 + 2688000*ln2^3*z5 + 126000*ln2*z2*z5 - 6323625*z3*z5 + 
    13253625*ln2*z7)/4032000, H[-1, 1, -1, -1, -1, -1, -1, 0, 1] -> 
  (-806400*li8half - 322560*li7half*ln2 - 40320*li6half*ln2^2 - 12*ln2^8 + 
    40320*ln2^2*s6 - 40320*ln2*s7a - 126630*s8a - 1451520*s8b - 241920*s8d + 
    112*ln2^6*z2 + 604800*s6*z2 - 48384*li4half*z2^2 - 1680*ln2^4*z2^2 - 
    22464*ln2^2*z2^3 + 93960*z2^4 + 483840*li5half*z3 - 4704*ln2^5*z3 + 
    60480*ln2^3*z2*z3 + 191520*ln2*z2^2*z3 - 131040*ln2^2*z3^2 + 
    60480*z2*z3^2 - 52500*ln2^3*z5 + 200340*ln2*z2*z5 - 255150*z3*z5 + 
    38745*ln2*z7)/80640, H[-1, 1, -1, -1, -1, -1, -1, -1, 1] -> 
  (-176400*li8half - 25200*li7half*ln2 + 35*ln2^6*z2 + 1260*ln2^4*z2^2 + 
    14400*ln2^2*z2^3 + 24192*z2^4 - 420*ln2^5*z3 - 16800*ln2^3*z5 - 
    151200*ln2*z7)/25200, H[-1, 0, 1, 1, 1, 1, 1, 1, 1] -> 
  (12*li4half^2 - 24*li8half - 24*li7half*ln2 - 12*li6half*ln2^2 - 
    4*li5half*ln2^3 + 12*li6half*z2 + 12*li5half*ln2*z2 - 21*li5half*z3 + 
    24*ln2*z7)/24, H[-1, 0, 1, 1, 1, 1, 1, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 
    1008000*ln2^2*s6 - 2016000*ln2*s7a - 2016000*ln2*s7b + 1746675*s8a - 
    12600000*s8b + 2016000*s8c - 2016000*s8d - 2016000*li6half*z2 - 
    2016000*li5half*ln2*z2 + 14000*ln2^6*z2 + 4032000*s6*z2 - 
    604800*li4half*z2^2 - 25200*ln2^4*z2^2 - 252000*ln2^2*z2^3 - 
    890352*z2^4 + 8064000*li5half*z3 + 504000*li4half*ln2*z3 - 
    46200*ln2^5*z3 + 252000*ln2^3*z2*z3 + 2431800*ln2*z2^2*z3 - 
    1039500*ln2^2*z3^2 - 3055500*z2*z3^2 + 3906000*ln2*z2*z5 + 
    9079875*z3*z5 - 5189625*ln2*z7)/4032000, 
 H[-1, 0, 1, 1, 1, 1, 1, -1, 1] -> (14112000*li4half^2 + 620928000*li8half + 
    84672000*li7half*ln2 + 4704000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 
    32900*ln2^8 - 24192000*ln2^2*s6 - 14112000*ln2*s7a + 98939925*s8a + 
    581616000*s8b + 76608000*s8c + 15120000*s8d + 14112000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 333200*ln2^6*z2 - 76104000*s6*z2 - 
    4032000*li4half*z2^2 + 1919400*ln2^4*z2^2 - 11642400*ln2^2*z2^3 - 
    36979812*z2^4 - 40824000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    1428000*ln2^5*z3 - 10752000*ln2^3*z2*z3 - 64285200*ln2*z2^2*z3 - 
    17608500*ln2^2*z3^2 - 82813500*z2*z3^2 - 13671000*ln2^3*z5 - 
    230265000*ln2*z2*z5 - 40800375*z3*z5 + 13560750*ln2*z7)/28224000, 
 H[-1, 0, 1, 1, 1, 1, 0, 1, 1] -> (-161280*li4half^2 - 13440*li4half*ln2^4 - 
    280*ln2^8 - 201600*ln2^2*s6 + 403200*ln2*s7a + 403200*ln2*s7b - 
    412335*s8a + 2520000*s8b - 403200*s8c + 403200*s8d - 322560*li6half*z2 - 
    322560*li5half*ln2*z2 - 80640*li4half*ln2^2*z2 - 1120*ln2^6*z2 - 
    806400*s6*z2 + 233856*li4half*z2^2 + 19824*ln2^4*z2^2 + 
    22176*ln2^2*z2^3 + 326160*z2^4 - 604800*li5half*z3 - 
    80640*li4half*ln2*z3 + 1680*ln2^5*z3 - 77280*ln2^3*z2*z3 - 
    323064*ln2*z2^2*z3 + 216720*ln2^2*z3^2 + 478800*z2*z3^2 - 
    1265040*ln2*z2*z5 - 1828575*z3*z5 + 1037925*ln2*z7)/322560, 
 H[-1, 0, 1, 1, 1, 1, 0, 0, 1] -> (26880*ln2^2*s6 - 53760*ln2*s7a - 
    53760*ln2*s7b + 41265*s8a - 134400*s8b + 53760*s8c - 53760*s8d + 
    107520*s6*z2 + 14784*li4half*z2^2 + 616*ln2^4*z2^2 - 14448*ln2^2*z2^3 - 
    12900*z2^4 + 67200*li5half*z3 - 40320*li4half*ln2*z3 - 2240*ln2^5*z3 + 
    15680*ln2^3*z2*z3 + 43512*ln2*z2^2*z3 - 51240*ln2^2*z3^2 - 
    58170*z2*z3^2 + 104160*ln2*z2*z5 + 66885*z3*z5 - 215880*ln2*z7)/53760, 
 H[-1, 0, 1, 1, 1, 1, 0, -1, 1] -> (-23040*li4half^2 - 1920*li4half*ln2^4 - 
    40*ln2^8 + 11520*ln2^2*s6 - 11520*ln2*s7a - 11520*ln2*s7b - 
    23040*li6half*z2 + 46080*li5half*ln2*z2 + 69120*li4half*ln2^2*z2 + 
    2464*ln2^6*z2 + 17280*li4half*z2^2 - 10800*ln2^4*z2^2 - 6336*ln2^2*z2^3 - 
    360*z2^4 - 28800*li5half*z3 - 69120*li4half*ln2*z3 - 2640*ln2^5*z3 + 
    41760*ln2^3*z2*z3 + 3888*ln2*z2^2*z3 - 27000*ln2^2*z3^2 + 3780*z2*z3^2 - 
    5040*ln2*z2*z5 + 24300*z3*z5 - 55395*ln2*z7)/46080, 
 H[-1, 0, 1, 1, 1, 1, -1, 1, 1] -> (-3024000*li4half^2 - 108864000*li8half + 
    12096000*li7half*ln2 + 6048000*li6half*ln2^2 - 168000*li4half*ln2^4 + 
    1550*ln2^8 + 3024000*ln2^2*s6 + 5040000*ln2*s7a - 21539700*s8a - 
    124236000*s8b - 16128000*s8c - 4536000*s8d - 6048000*li6half*z2 - 
    10080000*li5half*ln2*z2 + 1008000*li4half*ln2^2*z2 - 29400*ln2^6*z2 + 
    19404000*s6*z2 - 100800*li4half*z2^2 + 241500*ln2^4*z2^2 + 
    4816800*ln2^2*z2^3 + 7349328*z2^4 + 15372000*li5half*z3 + 
    1260000*li4half*ln2*z3 - 60900*ln2^5*z3 + 819000*ln2^3*z2*z3 + 
    12429900*ln2*z2^2*z3 + 7024500*ln2^2*z3^2 + 17041500*z2*z3^2 + 
    4882500*ln2^3*z5 + 48541500*ln2*z2*z5 + 1559250*z3*z5 - 16939125*ln2*z7)/
   2016000, H[-1, 0, 1, 1, 1, 1, -1, 0, 1] -> 
  (-5644800*li4half^2 + 451584000*li8half + 45158400*li7half*ln2 - 
    470400*li4half*ln2^4 - 7560*ln2^8 - 2217600*ln2^2*s6 - 22579200*ln2*s7a - 
    16934400*ln2*s7b + 68967675*s8a + 434750400*s8b + 49593600*s8c + 
    12499200*s8d + 16934400*li6half*z2 + 33868800*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 - 148960*ln2^6*z2 - 58867200*s6*z2 + 
    13789440*li4half*z2^2 - 1753920*ln2^4*z2^2 - 21863520*ln2^2*z2^3 - 
    31991688*z2^4 - 46166400*li5half*z3 - 32457600*li4half*ln2*z3 - 
    967680*ln2^5*z3 + 5090400*ln2^3*z2*z3 - 20641320*ln2*z2^2*z3 - 
    27171900*ln2^2*z3^2 - 52409700*z2*z3^2 - 5468400*ln2^3*z5 - 
    99565200*ln2*z2*z5 - 45862425*z3*z5 - 115078950*ln2*z7)/11289600, 
 H[-1, 0, 1, 1, 1, 1, -1, -1, 1] -> 
  (-42336000*li4half^2 + 649152000*li8half - 112896000*li7half*ln2 - 
    42336000*li6half*ln2^2 - 4704000*li4half*ln2^4 - 142800*ln2^8 - 
    16128000*ln2^2*s6 - 15120000*ln2*s7a + 20160000*ln2*s7b + 125829900*s8a + 
    973224000*s8b + 48384000*s8c + 128016000*s8d + 14112000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 2724400*ln2^6*z2 - 344232000*s6*z2 + 
    59472000*li4half*z2^2 - 6783000*ln2^4*z2^2 - 38858400*ln2^2*z2^3 - 
    76681656*z2^4 - 266616000*li5half*z3 - 81144000*li4half*ln2*z3 - 
    1365000*ln2^5*z3 + 21294000*ln2^3*z2*z3 - 103509000*ln2*z2^2*z3 - 
    27688500*ln2^2*z3^2 - 76639500*z2*z3^2 - 34177500*ln2^3*z5 - 
    190480500*ln2*z2*z5 + 166965750*z3*z5 + 279334125*ln2*z7)/28224000, 
 H[-1, 0, 1, 1, 1, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    29232000*ln2^2*s6 - 58464000*ln2*s7a + 12096000*ln2*s7b - 30332925*s8a - 
    662256000*s8b - 12096000*s8c - 58464000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 + 187488000*s6*z2 - 8164800*li4half*z2^2 - 
    1222200*ln2^4*z2^2 - 9651600*ln2^2*z2^3 - 52965468*z2^4 + 
    145152000*li5half*z3 + 3528000*li4half*ln2*z3 - 1062600*ln2^5*z3 + 
    11214000*ln2^3*z2*z3 + 61324200*ln2*z2^2*z3 - 34996500*ln2^2*z3^2 - 
    10993500*z2*z3^2 - 45570000*ln2^3*z5 + 212436000*ln2*z2*z5 + 
    173273625*z3*z5 + 259339500*ln2*z7)/28224000, 
 H[-1, 0, 1, 1, 1, 0, 1, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 4032000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 
    3310650*s8a + 36792000*s8b - 8064000*s8c + 8064000*s8d - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 21168000*s6*z2 - 
    3528000*li4half*z2^2 + 357000*ln2^4*z2^2 + 2494800*ln2^2*z2^3 + 
    3478296*z2^4 - 24192000*li5half*z3 + 6048000*li4half*ln2*z3 + 
    453600*ln2^5*z3 - 3528000*ln2^3*z2*z3 - 7673400*ln2*z2^2*z3 + 
    7686000*ln2^2*z3^2 + 10615500*z2*z3^2 - 11907000*ln2*z2*z5 - 
    14127750*z3*z5 + 12229875*ln2*z7)/4032000, 
 H[-1, 0, 1, 1, 1, 0, 1, -1, 1] -> 
  (-42336000*li4half^2 - 3528000*li4half*ln2^4 - 73500*ln2^8 - 
    26544000*ln2^2*s6 + 6720000*ln2*s7a - 16800000*ln2*s7b + 65617650*s8a + 
    438480000*s8b + 39648000*s8c + 54432000*s8d - 42336000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 + 58800*ln2^6*z2 - 155904000*s6*z2 + 
    38404800*li4half*z2^2 + 2482200*ln2^4*z2^2 + 12507600*ln2^2*z2^3 + 
    691464*z2^4 - 85344000*li5half*z3 - 29400000*li4half*ln2*z3 - 
    513800*ln2^5*z3 - 5936000*ln2^3*z2*z3 - 39001200*ln2*z2^2*z3 - 
    1291500*ln2^2*z3^2 - 44803500*z2*z3^2 + 15190000*ln2^3*z5 - 
    27258000*ln2*z2*z5 + 79450875*z3*z5 - 246532125*ln2*z7)/9408000, 
 H[-1, 0, 1, 1, 1, 0, 0, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    4536000*ln2^2*s6 + 9072000*ln2*s7a + 9072000*ln2*s7b - 17438400*s8a + 
    66024000*s8b - 9072000*s8c + 9072000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 - 53424000*s6*z2 + 10281600*li4half*z2^2 - 
    453600*ln2^4*z2^2 - 756000*ln2^2*z2^3 + 7385766*z2^4 - 
    4032000*li5half*z3 - 10584000*li4half*ln2*z3 - 407400*ln2^5*z3 + 
    2310000*ln2^3*z2*z3 + 12807900*ln2*z2^2*z3 + 1039500*ln2^2*z3^2 + 
    32382000*z2*z3^2 - 8694000*ln2*z2*z5 - 114951375*z3*z5 + 39879000*ln2*z7)/
   14112000, H[-1, 0, 1, 1, 1, 0, 0, 0, 1] -> 
  (7050*s8a - 129600*s8b - 6720*li4half*z2^2 - 280*ln2^4*z2^2 + 
    1680*ln2^2*z2^3 - 26968*z2^4 + 7560*ln2*z2^2*z3 - 10950*z2*z3^2 + 
    38400*ln2*z2*z5 + 159300*z3*z5 + 126375*ln2*z7)/19200, 
 H[-1, 0, 1, 1, 1, 0, 0, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    4704000*ln2^2*s6 + 6384000*ln2*s7a + 6384000*ln2*s7b - 1398600*s8a - 
    39900000*s8b - 3360000*s8c + 3360000*s8d + 14112000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 176400*ln2^6*z2 - 12600000*s6*z2 - 
    11911200*li4half*z2^2 - 1966300*ln2^4*z2^2 + 4179000*ln2^2*z2^3 - 
    7463276*z2^4 - 11424000*li5half*z3 + 19992000*li4half*ln2*z3 + 
    928200*ln2^5*z3 + 224000*ln2^3*z2*z3 - 11451300*ln2*z2^2*z3 + 
    9996000*ln2^2*z3^2 + 3108000*z2*z3^2 - 8967000*ln2*z2*z5 + 
    42769125*z3*z5 + 113016750*ln2*z7)/4704000, 
 H[-1, 0, 1, 1, 1, 0, -1, 1, 1] -> 
  (-10080000*li4half^2 - 840000*li4half*ln2^4 - 17500*ln2^8 - 
    2016000*ln2^2*s6 - 20160000*ln2*s7b + 10317825*s8a + 3528000*s8b + 
    24192000*s8c - 24192000*s8d - 6048000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 243600*ln2^6*z2 + 38304000*s6*z2 + 
    3729600*li4half*z2^2 + 2045400*ln2^4*z2^2 - 8161200*ln2^2*z2^3 + 
    10128672*z2^4 + 54936000*li5half*z3 - 9576000*li4half*ln2*z3 - 
    856800*ln2^5*z3 - 966000*ln2^3*z2*z3 + 17337600*ln2*z2^2*z3 - 
    8946000*ln2^2*z3^2 - 9954000*z2*z3^2 + 19530000*ln2^3*z5 + 
    882000*ln2*z2*z5 - 69914250*z3*z5 - 104761125*ln2*z7)/4032000, 
 H[-1, 0, 1, 1, 1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    1344000*ln2^2*s6 + 5376000*ln2*s7a + 5376000*ln2*s7b - 3439275*s8a - 
    1176000*s8b - 8064000*s8c + 8064000*s8d - 4032000*li4half*ln2^2*z2 - 
    168000*ln2^6*z2 - 14448000*s6*z2 - 3796800*li4half*z2^2 + 
    345800*ln2^4*z2^2 + 2091600*ln2^2*z2^3 - 3318124*z2^4 - 
    18144000*li5half*z3 + 7392000*li4half*ln2*z3 + 459200*ln2^5*z3 - 
    3360000*ln2^3*z2*z3 - 5770800*ln2*z2^2*z3 + 6972000*ln2^2*z3^2 + 
    4011000*z2*z3^2 + 6678000*ln2*z2*z5 + 22467375*z3*z5 + 36513750*ln2*z7)/
   1344000, H[-1, 0, 1, 1, 1, 0, -1, -1, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 + 
    93744000*ln2^2*s6 + 20160000*ln2*s7a + 302400000*ln2*s7b - 
    388837575*s8a - 1846152000*s8b - 368928000*s8c - 54432000*s8d + 
    84672000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 3057600*ln2^6*z2 + 
    320544000*s6*z2 - 225388800*li4half*z2^2 - 5863200*ln2^4*z2^2 + 
    33818400*ln2^2*z2^3 - 50607792*z2^4 + 66528000*li5half*z3 + 
    402192000*li4half*ln2*z3 + 16203600*ln2^5*z3 - 57960000*ln2^3*z2*z3 - 
    5682600*ln2*z2^2*z3 + 139041000*ln2^2*z3^2 + 339097500*z2*z3^2 - 
    273420000*ln2^3*z5 + 162036000*ln2*z2*z5 - 166989375*z3*z5 + 
    2075361750*ln2*z7)/56448000, H[-1, 0, 1, 1, 1, -1, 1, 1, 1] -> 
  (8064000*li4half^2 + 612864000*li8half - 120960000*li7half*ln2 - 
    12096000*li6half*ln2^2 + 6720000*li5half*ln2^3 + 672000*li4half*ln2^4 - 
    19600*ln2^8 - 15552000*ln2^2*s6 - 20736000*ln2*s7a + 7488000*ln2*s7b + 
    126940275*s8a + 770616000*s8b + 90720000*s8c + 46368000*s8d + 
    12096000*li6half*z2 + 60480000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 170352000*s6*z2 + 
    7257600*li4half*z2^2 - 4368000*ln2^4*z2^2 - 26683200*ln2^2*z2^3 - 
    46135296*z2^4 - 107856000*li5half*z3 - 2016000*li4half*ln2*z3 + 
    873600*ln2^5*z3 - 9072000*ln2^3*z2*z3 - 88173000*ln2*z2^2*z3 - 
    35464500*ln2^2*z3^2 - 95602500*z2*z3^2 - 27342000*ln2^3*z5 - 
    295038000*ln2*z2*z5 + 32326875*z3*z5 + 213185250*ln2*z7)/8064000, 
 H[-1, 0, 1, 1, 1, -1, 1, 0, 1] -> 
  (366912000*li4half^2 - 9031680000*li8half - 903168000*li7half*ln2 + 
    30576000*li4half*ln2^4 + 592200*ln2^8 + 681408000*ln2^2*s6 + 
    82656000*ln2*s7a + 167328000*ln2*s7b - 2217959100*s8a - 14495040000*s8b - 
    1528128000*s8c - 1153152000*s8d + 84672000*li6half*z2 - 
    197568000*li5half*ln2*z2 - 183456000*li4half*ln2^2*z2 - 
    3371200*ln2^6*z2 + 3703392000*s6*z2 - 497347200*li4half*z2^2 + 
    44662800*ln2^4*z2^2 + 71971200*ln2^2*z2^3 + 635366304*z2^4 + 
    2235744000*li5half*z3 + 359856000*li4half*ln2*z3 - 3637200*ln2^5*z3 + 
    100464000*ln2^3*z2*z3 + 1518022800*ln2*z2^2*z3 + 293517000*ln2^2*z3^2 + 
    1658979000*z2*z3^2 - 82026000*ln2^3*z5 + 4115790000*ln2*z2*z5 - 
    957993750*z3*z5 + 1326835125*ln2*z7)/56448000, 
 H[-1, 0, 1, 1, 1, -1, 1, -1, 1] -> 
  (112896000*li4half^2 - 3217536000*li8half + 733824000*li7half*ln2 - 
    47040000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 362600*ln2^8 + 
    51408000*ln2^2*s6 + 72576000*ln2*s7a - 252000000*ln2*s7b - 
    584124975*s8a - 4417560000*s8b - 247968000*s8c - 584640000*s8d + 
    84672000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 - 5919200*ln2^6*z2 + 
    1585584000*s6*z2 - 195955200*li4half*z2^2 + 49047600*ln2^4*z2^2 + 
    196660800*ln2^2*z2^3 + 383684544*z2^4 + 1148112000*li5half*z3 + 
    91728000*li4half*ln2*z3 - 6157200*ln2^5*z3 - 7812000*ln2^3*z2*z3 + 
    621948600*ln2*z2^2*z3 + 119416500*ln2^2*z3^2 + 373180500*z2*z3^2 + 
    314433000*ln2^3*z5 + 1401687000*ln2*z2*z5 - 809353125*z3*z5 - 
    3017739375*ln2*z7)/56448000, H[-1, 0, 1, 1, 1, -1, 0, 1, 1] -> 
  (-5644800*li4half^2 + 301056000*li8half + 120422400*li7half*ln2 + 
    15052800*li6half*ln2^2 - 470400*li4half*ln2^4 - 5320*ln2^8 - 
    65184000*ln2^2*s6 + 21100800*ln2*s7a - 8064000*ln2*s7b + 122130225*s8a + 
    805896000*s8b + 83462400*s8c + 82118400*s8d + 26342400*li6half*z2 - 
    11289600*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 227360*ln2^6*z2 - 
    232444800*s6*z2 + 17834880*li4half*z2^2 - 864080*ln2^4*z2^2 + 
    17771040*ln2^2*z2^3 - 21748056*z2^4 - 157180800*li5half*z3 + 
    1411200*li4half*ln2*z3 + 1368640*ln2^5*z3 - 12902400*ln2^3*z2*z3 - 
    102818520*ln2*z2^2*z3 + 9450000*ln2^2*z3^2 - 94878000*z2*z3^2 + 
    28253400*ln2^3*z5 - 227140200*ln2*z2*z5 + 116881275*z3*z5 - 
    162110550*ln2*z7)/3763200, H[-1, 0, 1, 1, 1, -1, 0, 0, 1] -> 
  (-70560000*li4half^2 - 5880000*li4half*ln2^4 - 122500*ln2^8 + 
    112392000*ln2^2*s6 - 43344000*ln2*s7a + 6048000*ln2*s7b - 176823675*s8a - 
    1019844000*s8b - 138096000*s8c - 101808000*s8d + 28224000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 35280000*li4half*ln2^2*z2 + 1274000*ln2^6*z2 + 
    320040000*s6*z2 + 30088800*li4half*z2^2 + 3899700*ln2^4*z2^2 - 
    49278600*ln2^2*z2^3 - 33209478*z2^4 + 217728000*li5half*z3 - 
    67032000*li4half*ln2*z3 - 4607400*ln2^5*z3 + 34902000*ln2^3*z2*z3 + 
    181855800*ln2*z2^2*z3 - 30129750*ln2^2*z3^2 + 136702125*z2*z3^2 - 
    47848500*ln2^3*z5 + 421438500*ln2*z2*z5 - 246715875*z3*z5 + 
    124653375*ln2*z7)/14112000, H[-1, 0, 1, 1, 1, -1, 0, -1, 1] -> 
  (-225792000*li4half^2 - 9031680000*li8half - 1806336000*li7half*ln2 - 
    18816000*li4half*ln2^4 - 257600*ln2^8 + 1426320000*ln2^2*s6 - 
    171360000*ln2*s7a + 491904000*ln2*s7b - 3212081775*s8a - 
    19505304000*s8b - 2509920000*s8c - 1243872000*s8d + 
    310464000*li6half*z2 - 366912000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 3410400*ln2^6*z2 + 4456368000*s6*z2 - 
    141523200*li4half*z2^2 - 3897600*ln2^4*z2^2 - 330825600*ln2^2*z2^3 + 
    200077056*z2^4 + 2713536000*li5half*z3 - 63504000*li4half*ln2*z3 - 
    25258800*ln2^5*z3 + 357252000*ln2^3*z2*z3 + 2231926200*ln2*z2^2*z3 + 
    132583500*ln2^2*z3^2 + 2513511000*z2*z3^2 - 642537000*ln2^3*z5 + 
    6631191000*ln2*z2*z5 - 1285113375*z3*z5 + 5356086750*ln2*z7)/56448000, 
 H[-1, 0, 1, 1, 1, -1, -1, 1, 1] -> 
  (-112896000*li4half^2 - 1185408000*li8half - 564480000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 191800*ln2^8 - 1008000*ln2^2*s6 - 
    120960000*ln2*s7a + 118944000*ln2*s7b - 122990175*s8a - 1179864000*s8b + 
    102816000*s8c - 286272000*s8d + 169344000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 3567200*ln2^6*z2 + 
    734832000*s6*z2 + 13305600*li4half*z2^2 + 13666800*ln2^4*z2^2 + 
    2620800*ln2^2*z2^3 + 185649192*z2^4 + 621936000*li5half*z3 - 
    56448000*li4half*ln2*z3 - 7946400*ln2^5*z3 - 14616000*ln2^3*z2*z3 + 
    136949400*ln2*z2^2*z3 - 210199500*ln2^2*z3^2 + 24538500*z2*z3^2 - 
    223293000*ln2^3*z5 - 692685000*ln2*z2*z5 - 654247125*z3*z5 + 
    937526625*ln2*z7)/56448000, H[-1, 0, 1, 1, 1, -1, -1, 0, 1] -> 
  (169344000*li4half^2 + 6773760000*li8half + 677376000*li7half*ln2 + 
    14112000*li4half*ln2^4 + 327600*ln2^8 - 535248000*ln2^2*s6 + 
    122976000*ln2*s7a + 80640000*ln2*s7b + 1468796175*s8a + 10315368000*s8b + 
    824544000*s8c + 1010016000*s8d - 28224000*li6half*z2 + 
    225792000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 7330400*ln2^6*z2 - 
    2958480000*s6*z2 + 110275200*li4half*z2^2 - 17984400*ln2^4*z2^2 + 
    14061600*ln2^2*z2^3 - 530437392*z2^4 - 2182320000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 22302000*ln2^5*z3 - 210672000*ln2^3*z2*z3 - 
    1274729400*ln2*z2^2*z3 + 40855500*ln2^2*z3^2 - 1040665500*z2*z3^2 + 
    41013000*ln2^3*z5 - 2898819000*ln2*z2*z5 + 1137441375*z3*z5 + 
    221445000*ln2*z7)/56448000, H[-1, 0, 1, 1, 1, -1, -1, -1, 1] -> 
  (2257920*li4half^2 + 27095040*li8half + 18063360*li7half*ln2 + 
    7902720*li6half*ln2^2 + 752640*li5half*ln2^3 + 188160*li4half*ln2^4 + 
    5712*ln2^8 + 7257600*ln2^2*s6 + 5886720*ln2*s7a + 5322240*ln2*s7b - 
    17784585*s8a - 62959680*s8b - 21208320*s8c + 4838400*s8d - 
    3386880*li5half*ln2*z2 - 1128960*li4half*ln2^2*z2 + 105056*ln2^6*z2 - 
    1491840*s6*z2 - 1459584*li4half*z2^2 - 514752*ln2^4*z2^2 - 
    3959424*ln2^2*z2^3 - 8752608*z2^4 - 7701120*li5half*z3 + 
    6491520*li4half*ln2*z3 + 351120*ln2^5*z3 + 957600*ln2^3*z2*z3 + 
    4362120*ln2*z2^2*z3 + 10376100*ln2^2*z3^2 + 17679060*z2*z3^2 + 
    182280*ln2^3*z5 + 54676440*ln2*z2*z5 - 2086245*z3*z5 + 44643060*ln2*z7)/
   2257920, H[-1, 0, 1, 1, 0, 1, 1, 1, 1] -> 
  (-17472000*ln2^2*s6 + 34944000*ln2*s7a - 35616000*ln2*s7b + 60798675*s8a + 
    515256000*s8b + 35616000*s8c + 34944000*s8d - 140448000*s6*z2 - 
    537600*li4half*z2^2 - 22400*ln2^4*z2^2 + 7123200*ln2^2*z2^3 + 
    33129288*z2^4 - 69888000*li5half*z3 + 582400*ln2^5*z3 - 
    5824000*ln2^3*z2*z3 - 41920200*ln2*z2^2*z3 + 21840000*ln2^2*z3^2 - 
    23625000*z2*z3^2 + 45570000*ln2^3*z5 - 119826000*ln2*z2*z5 - 
    70116375*z3*z5 - 319885125*ln2*z7)/18816000, 
 H[-1, 0, 1, 1, 0, 1, 1, 0, 1] -> (-1584975*s8a - 11088000*s8b + 
    2520000*s6*z2 + 672000*li4half*z2^2 + 28000*ln2^4*z2^2 - 
    168000*ln2^2*z2^3 - 1484676*z2^4 - 84000*ln2*z2^2*z3 - 950250*z2*z3^2 + 
    1165500*ln2*z2*z5 + 8455125*z3*z5 + 13434750*ln2*z7)/1344000, 
 H[-1, 0, 1, 1, 0, 1, 1, -1, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 + 
    38304000*ln2^2*s6 + 155232000*ln2*s7b - 166732650*s8a - 1266048000*s8b - 
    76608000*s8c - 135072000*s8d + 282240000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 375984000*s6*z2 - 
    231638400*li4half*z2^2 - 21411600*ln2^4*z2^2 + 45662400*ln2^2*z2^3 - 
    13599864*z2^4 + 114912000*li5half*z3 + 232848000*li4half*ln2*z3 + 
    8744400*ln2^5*z3 - 48636000*ln2^3*z2*z3 - 47199600*ln2*z2^2*z3 + 
    10773000*ln2^2*z3^2 + 101997000*z2*z3^2 - 82026000*ln2^3*z5 - 
    625716000*ln2*z2*z5 + 86058000*z3*z5 + 1934170875*ln2*z7)/56448000, 
 H[-1, 0, 1, 1, 0, 1, 0, 1, 1] -> (15456000*ln2^2*s6 - 30912000*ln2*s7a - 
    30912000*ln2*s7b + 29858850*s8a - 122136000*s8b + 30912000*s8c - 
    30912000*s8d + 97104000*s6*z2 - 9004800*li4half*z2^2 - 
    375200*ln2^4*z2^2 - 3931200*ln2^2*z2^3 - 7200204*z2^4 + 
    61824000*li5half*z3 - 515200*ln2^5*z3 + 5152000*ln2^3*z2*z3 + 
    7148400*ln2*z2^2*z3 - 19320000*ln2^2*z3^2 - 48247500*z2*z3^2 + 
    42609000*ln2*z2*z5 + 98786625*z3*z5 - 144403875*ln2*z7)/9408000, 
 H[-1, 0, 1, 1, 0, 1, 0, 0, 1] -> 
  (-256200*s8a + 10752000*s8b - 806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 
    201600*ln2^2*z2^3 + 2307398*z2^4 - 1646400*ln2*z2^2*z3 + 766500*z2*z3^2 - 
    3696000*ln2*z2*z5 - 10444875*z3*z5 - 10332000*ln2*z7)/672000, 
 H[-1, 0, 1, 1, 0, 1, 0, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    28224000*ln2^2*s6 - 20160000*ln2*s7a - 20160000*ln2*s7b - 16721775*s8a + 
    425880000*s8b - 16128000*s8c + 16128000*s8d - 169344000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 3292800*ln2^6*z2 + 20664000*s6*z2 + 
    97070400*li4half*z2^2 + 25212600*ln2^4*z2^2 - 27392400*ln2^2*z2^3 + 
    64281276*z2^4 + 66528000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    4670400*ln2^5*z3 - 43848000*ln2^3*z2*z3 + 76469400*ln2*z2^2*z3 - 
    22932000*ln2^2*z3^2 + 3165750*z2*z3^2 + 123921000*ln2*z2*z5 - 
    424368000*z3*z5 - 844475625*ln2*z7)/28224000, 
 H[-1, 0, 1, 1, 0, 1, -1, 1, 1] -> 
  (24192000*li4half^2 + 2016000*li4half*ln2^4 + 42000*ln2^8 + 
    13056000*ln2^2*s6 - 288000*ln2*s7a + 5088000*ln2*s7b - 28035525*s8a - 
    140280000*s8b - 35616000*s8c + 5376000*s8d + 21504000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 - 11200*ln2^6*z2 + 9408000*s6*z2 - 
    12364800*li4half*z2^2 - 1243200*ln2^4*z2^2 - 825600*ln2^2*z2^3 - 
    11773224*z2^4 - 24192000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    495600*ln2^5*z3 + 6804000*ln2^3*z2*z3 + 10419000*ln2*z2^2*z3 + 
    11169000*ln2^2*z3^2 + 23856000*z2*z3^2 - 5208000*ln2^3*z5 + 
    83460000*ln2*z2*z5 + 39262125*z3*z5 + 45771375*ln2*z7)/2688000, 
 H[-1, 0, 1, 1, 0, 1, -1, 0, 1] -> 
  (-6451200*li4half^2 - 537600*li4half*ln2^4 - 11200*ln2^8 - 
    1497600*ln2^2*s6 - 3340800*ln2*s7a - 3340800*ln2*s7b + 3939075*s8a + 
    8568000*s8b + 9676800*s8c - 9676800*s8d + 3225600*li4half*ln2^2*z2 + 
    134400*ln2^6*z2 + 18244800*s6*z2 + 1431360*li4half*z2^2 - 
    343560*ln2^4*z2^2 - 1767600*ln2^2*z2^3 + 6091056*z2^4 + 
    19353600*li5half*z3 - 3225600*li4half*ln2*z3 - 295680*ln2^5*z3 + 
    2419200*ln2^3*z2*z3 + 2399400*ln2*z2^2*z3 - 5536800*ln2^2*z3^2 - 
    4898250*z2*z3^2 - 22455000*ln2*z2*z5 - 29254050*z3*z5 - 31882500*ln2*z7)/
   806400, H[-1, 0, 1, 1, 0, 1, -1, -1, 1] -> 
  (-68544000*li4half^2 - 5712000*li4half*ln2^4 - 119000*ln2^8 + 
    35424000*ln2^2*s6 - 51552000*ln2*s7a - 59616000*ln2*s7b + 23240700*s8a + 
    22176000*s8b + 68544000*s8c - 86688000*s8d - 32256000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 - 67200*ln2^6*z2 + 182448000*s6*z2 + 
    36489600*li4half*z2^2 + 5132400*ln2^4*z2^2 - 25315200*ln2^2*z2^3 + 
    46717992*z2^4 + 193536000*li5half*z3 - 86688000*li4half*ln2*z3 - 
    5224800*ln2^5*z3 + 6048000*ln2^3*z2*z3 + 86540400*ln2*z2^2*z3 - 
    80883000*ln2^2*z3^2 - 39375000*z2*z3^2 + 7812000*ln2^3*z5 - 
    30510000*ln2*z2*z5 - 279137250*z3*z5 - 544876875*ln2*z7)/8064000, 
 H[-1, 0, 1, 1, 0, 0, 1, 1, 1] -> (336000*ln2^2*s6 - 672000*ln2*s7a + 
    672000*ln2*s7b - 1617525*s8a - 5376000*s8b - 672000*s8c - 672000*s8d + 
    2688000*s6*z2 - 268800*li4half*z2^2 - 11200*ln2^4*z2^2 - 
    67200*ln2^2*z2^3 + 304596*z2^4 + 1344000*li5half*z3 - 11200*ln2^5*z3 + 
    112000*ln2^3*z2*z3 + 693000*ln2*z2^2*z3 - 420000*ln2^2*z3^2 + 
    441000*z2*z3^2 - 868000*ln2^3*z5 - 1302000*ln2*z2*z5 - 1798125*z3*z5 + 
    2997750*ln2*z7)/1344000, H[-1, 0, 1, 1, 0, 0, 1, 0, 1] -> 
  (298725*s8a - 728000*s8b - 112000*s6*z2 + 268800*li4half*z2^2 + 
    11200*ln2^4*z2^2 - 67200*ln2^2*z2^3 - 295774*z2^4 - 145600*ln2*z2^2*z3 + 
    40250*z2*z3^2 + 1225000*ln2*z2*z5 + 741125*z3*z5 + 506625*ln2*z7)/224000, 
 H[-1, 0, 1, 1, 0, 0, 1, -1, 1] -> (-6048000*ln2^2*s6 + 14112000*ln2*s7a + 
    4704000*ln2*s7b + 16742775*s8a + 131880000*s8b - 16128000*s8c + 
    53760000*s8d - 28224000*li5half*ln2*z2 + 235200*ln2^6*z2 - 
    126336000*s6*z2 + 15220800*li4half*z2^2 - 1717800*ln2^4*z2^2 - 
    4359600*ln2^2*z2^3 - 24892956*z2^4 - 91056000*li5half*z3 - 
    16464000*li4half*ln2*z3 + 72800*ln2^5*z3 + 8876000*ln2^3*z2*z3 - 
    25141200*ln2*z2^2*z3 + 19908000*ln2^2*z3^2 + 924000*z2*z3^2 + 
    6076000*ln2^3*z5 + 110565000*ln2*z2*z5 + 129601500*z3*z5 + 
    25982250*ln2*z7)/9408000, H[-1, 0, 1, 1, 0, 0, 0, 1, 1] -> 
  (-2688000*ln2^2*s6 + 5376000*ln2*s7a + 5376000*ln2*s7b - 7065975*s8a + 
    27888000*s8b - 5376000*s8c + 5376000*s8d - 15456000*s6*z2 - 
    806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 1276800*ln2^2*z2^3 + 
    3801764*z2^4 - 10752000*li5half*z3 + 89600*ln2^5*z3 - 
    896000*ln2^3*z2*z3 - 1008000*ln2*z2^2*z3 + 3360000*ln2^2*z3^2 + 
    8074500*z2*z3^2 - 16422000*ln2*z2*z5 - 23249625*z3*z5 + 18033750*ln2*z7)/
   4704000, H[-1, 0, 1, 1, 0, 0, 0, 0, 1] -> 
  (-5025*s8a - 216000*s8b - 43774*z2^4 + 57600*ln2*z2^2*z3 - 18000*z2*z3^2 + 
    48000*ln2*z2*z5 + 199125*z3*z5 + 236625*ln2*z7)/48000, 
 H[-1, 0, 1, 1, 0, 0, 0, -1, 1] -> (-2688000*ln2*s7a - 2688000*ln2*s7b + 
    1707825*s8a - 10248000*s8b + 5376000*s8c - 5376000*s8d + 9576000*s6*z2 - 
    1898400*li4half*z2^2 - 79100*ln2^4*z2^2 - 130200*ln2^2*z2^3 + 
    984437*z2^4 + 10752000*li5half*z3 - 89600*ln2^5*z3 + 896000*ln2^3*z2*z3 + 
    2631300*ln2*z2^2*z3 - 4116000*ln2^2*z3^2 - 3315375*z2*z3^2 - 
    9812250*ln2*z2*z5 - 2916375*z3*z5 + 2651250*ln2*z7)/2352000, 
 H[-1, 0, 1, 1, 0, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    19152000*ln2^2*s6 + 3360000*ln2*s7a - 15456000*ln2*s7b + 11137350*s8a + 
    72240000*s8b + 50400000*s8c - 50400000*s8d + 91392000*s6*z2 + 
    17673600*li4half*z2^2 + 4264400*ln2^4*z2^2 + 924000*ln2^2*z2^3 + 
    38362956*z2^4 + 100800000*li5half*z3 - 16464000*li4half*ln2*z3 - 
    1526000*ln2^5*z3 - 12180000*ln2^3*z2*z3 + 12104400*ln2*z2^2*z3 - 
    17220000*ln2^2*z3^2 - 17955000*z2*z3^2 + 18228000*ln2^3*z5 - 
    162466500*ln2*z2*z5 - 194546625*z3*z5 - 134520750*ln2*z7)/9408000, 
 H[-1, 0, 1, 1, 0, 0, -1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 
    8064000*ln2*s7a + 8064000*ln2*s7b - 5392800*s8a - 16128000*s8b - 
    16128000*s8c + 16128000*s8d - 8064000*li4half*ln2^2*z2 - 
    336000*ln2^6*z2 - 31248000*s6*z2 - 5342400*li4half*z2^2 + 
    785400*ln2^4*z2^2 + 3150000*ln2^2*z2^3 - 10440198*z2^4 - 
    32256000*li5half*z3 + 14112000*li4half*ln2*z3 + 856800*ln2^5*z3 - 
    6216000*ln2^3*z2*z3 - 8341200*ln2*z2^2*z3 + 12348000*ln2^2*z3^2 + 
    8426250*z2*z3^2 + 35154000*ln2*z2*z5 + 50683500*z3*z5 + 71701875*ln2*z7)/
   2016000, H[-1, 0, 1, 1, 0, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    3920000*ln2^2*s6 + 14560000*ln2*s7a + 20832000*ln2*s7b - 16226175*s8a - 
    56896000*s8b - 24416000*s8c + 15008000*s8d + 18816000*li5half*ln2*z2 + 
    4704000*li4half*ln2^2*z2 + 39200*ln2^6*z2 - 25312000*s6*z2 - 
    18950400*li4half*z2^2 - 2161600*ln2^4*z2^2 + 7112000*ln2^2*z2^3 - 
    8946848*z2^4 - 40992000*li5half*z3 + 32928000*li4half*ln2*z3 + 
    1713600*ln2^5*z3 - 3416000*ln2^3*z2*z3 - 20844600*ln2*z2^2*z3 + 
    22393000*ln2^2*z3^2 + 17993500*z2*z3^2 - 6076000*ln2^3*z5 + 
    392000*ln2*z2*z5 + 51700250*z3*z5 + 166678750*ln2*z7)/3136000, 
 H[-1, 0, 1, 1, 0, -1, 1, 1, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 + 
    3376800*ln2^2*s6 - 7660800*ln2*s7a + 10684800*ln2*s7b - 2587725*s8a + 
    9576000*s8b - 2016000*s8c + 2016000*s8d - 11289600*li5half*ln2*z2 + 
    1411200*li4half*ln2^2*z2 + 152880*ln2^6*z2 + 1260000*s6*z2 + 
    2661120*li4half*z2^2 - 741720*ln2^4*z2^2 + 836640*ln2^2*z2^3 + 
    2139714*z2^4 + 3024000*li5half*z3 + 705600*li4half*ln2*z3 + 
    4200*ln2^5*z3 + 75600*ln2^3*z2*z3 - 1106280*ln2*z2^2*z3 - 
    7308000*ln2^2*z3^2 - 693000*z2*z3^2 - 17772300*ln2^3*z5 - 
    30498300*ln2*z2*z5 - 10103625*z3*z5 + 36877050*ln2*z7)/2822400, 
 H[-1, 0, 1, 1, 0, -1, 1, 0, 1] -> (-645120*li4half^2 - 53760*li4half*ln2^4 - 
    1120*ln2^8 + 299520*ln2^2*s6 - 299520*ln2*s7a - 299520*ln2*s7b + 
    118440*s8a - 1048320*s8b + 322560*li4half*ln2^2*z2 + 13440*ln2^6*z2 - 
    80640*s6*z2 + 689472*li4half*z2^2 - 11592*ln2^4*z2^2 - 
    108144*ln2^2*z2^3 - 398448*z2^4 - 1048320*li4half*ln2*z3 - 
    43680*ln2^5*z3 + 262080*ln2^3*z2*z3 + 348192*ln2*z2^2*z3 - 
    374400*ln2^2*z3^2 + 22050*z2*z3^2 + 1794600*ln2*z2*z5 + 1003275*z3*z5 - 
    718560*ln2*z7)/161280, H[-1, 0, 1, 1, 0, -1, 1, -1, 1] -> 
  (-14784000*ln2^2*s6 + 36288000*ln2*s7a - 15456000*ln2*s7b - 17631600*s8a - 
    49728000*s8b - 43008000*s8c + 43008000*s8d + 32928000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 313600*ln2^6*z2 - 86016000*s6*z2 + 
    11894400*li4half*z2^2 - 288400*ln2^4*z2^2 - 3376800*ln2^2*z2^3 - 
    32678736*z2^4 - 108360000*li5half*z3 - 24696000*li4half*ln2*z3 - 
    126000*ln2^5*z3 + 15666000*ln2^3*z2*z3 - 9101400*ln2*z2^2*z3 + 
    51408000*ln2^2*z3^2 + 27552000*z2*z3^2 + 50127000*ln2^3*z5 + 
    175749000*ln2*z2*z5 + 151312875*z3*z5 + 37579500*ln2*z7)/9408000, 
 H[-1, 0, 1, 1, 0, -1, 0, 1, 1] -> (672000*ln2^2*s6 - 1344000*ln2*s7a - 
    1344000*ln2*s7b + 1725150*s8a - 6384000*s8b + 1344000*s8c - 1344000*s8d + 
    2688000*s6*z2 - 409920*li4half*z2^2 - 17080*ln2^4*z2^2 - 
    166320*ln2^2*z2^3 - 893496*z2^4 + 2688000*li5half*z3 - 22400*ln2^5*z3 + 
    224000*ln2^3*z2*z3 + 310800*ln2*z2^2*z3 - 840000*ln2^2*z3^2 - 
    1522500*z2*z3^2 + 5590200*ln2*z2*z5 + 5100375*z3*z5 - 5425350*ln2*z7)/
   1881600, H[-1, 0, 1, 1, 0, -1, 0, 0, 1] -> 
  (-98700*s8a + 873600*s8b - 141120*li4half*z2^2 - 5880*ln2^4*z2^2 + 
    35280*ln2^2*z2^3 + 226178*z2^4 + 37800*z2*z3^2 - 562800*ln2*z2*z5 - 
    877275*z3*z5 - 867300*ln2*z7)/134400, H[-1, 0, 1, 1, 0, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    14112000*ln2^2*s6 - 46368000*ln2*s7a - 46368000*ln2*s7b + 26447400*s8a + 
    74592000*s8b + 64512000*s8c - 64512000*s8d - 84672000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 1646400*ln2^6*z2 + 129024000*s6*z2 + 
    36136800*li4half*z2^2 + 12089700*ln2^4*z2^2 - 18761400*ln2^2*z2^3 + 
    37437444*z2^4 + 178416000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    3544800*ln2^5*z3 - 9828000*ln2^3*z2*z3 + 72368100*ln2*z2^2*z3 - 
    67032000*ln2^2*z3^2 - 39949875*z2*z3^2 - 14222250*ln2*z2*z5 - 
    247338000*z3*z5 - 423131625*ln2*z7)/14112000, 
 H[-1, 0, 1, 1, 0, -1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    102312000*ln2^2*s6 + 5040000*ln2*s7a - 2016000*ln2*s7b + 244473075*s8a + 
    1325016000*s8b + 173376000*s8c + 165312000*s8d - 
    112896000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 1234800*ln2^6*z2 - 
    489384000*s6*z2 + 52819200*li4half*z2^2 - 5443200*ln2^4*z2^2 + 
    47628000*ln2^2*z2^3 - 12376188*z2^4 - 260064000*li5half*z3 + 
    7056000*li4half*ln2*z3 + 2461200*ln2^5*z3 - 23436000*ln2^3*z2*z3 - 
    193863600*ln2*z2^2*z3 - 14112000*ln2^2*z3^2 - 199710000*z2*z3^2 - 
    440779500*ln2*z2*z5 + 461427750*z3*z5 - 40209750*ln2*z7)/28224000, 
 H[-1, 0, 1, 1, 0, -1, -1, 0, 1] -> 
  (672*s8a + 1344*li4half*z2^2 + 56*ln2^4*z2^2 - 336*ln2^2*z2^3 - 648*z2^4 - 
    672*ln2*z2^2*z3 - 42*z2*z3^2 - 1092*ln2*z2*z5 + 1113*z3*z5 + 6132*ln2*z7)/
   10752, H[-1, 0, 1, 1, 0, -1, -1, -1, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 - 
    3528000*ln2^2*s6 - 4788000*ln2*s7a - 10080000*ln2*s7b + 12404700*s8a + 
    48006000*s8b + 16632000*s8c - 6048000*s8d - 10584000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 205800*ln2^6*z2 + 6804000*s6*z2 + 
    4964400*li4half*z2^2 + 1529850*ln2^4*z2^2 - 1304100*ln2^2*z2^3 + 
    5319837*z2^4 + 18270000*li5half*z3 - 6174000*li4half*ln2*z3 - 
    409500*ln2^5*z3 - 1564500*ln2^3*z2*z3 + 4410000*ln2*z2^2*z3 - 
    8323875*ln2^2*z3^2 - 13300875*z2*z3^2 + 6835500*ln2^3*z5 - 
    16482375*ln2*z2*z5 - 18364500*z3*z5 - 70678125*ln2*z7)/7056000, 
 H[-1, 0, 1, 1, -1, 1, 1, 1, 1] -> 
  (-56448000*li4half^2 - 3386880000*li8half + 1128960000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 
    260400*ln2^8 + 87696000*ln2^2*s6 + 76608000*ln2*s7a - 78624000*ln2*s7b - 
    711657450*s8a - 4510800000*s8b - 540288000*s8c - 278208000*s8d - 
    28224000*li6half*z2 - 479808000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 2508800*ln2^6*z2 + 1071504000*s6*z2 - 
    69753600*li4half*z2^2 + 40370400*ln2^4*z2^2 + 168739200*ln2^2*z2^3 + 
    250396488*z2^4 + 761040000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    6930000*ln2^5*z3 + 66948000*ln2^3*z2*z3 + 587311200*ln2*z2^2*z3 + 
    200623500*ln2^2*z3^2 + 521860500*z2*z3^2 + 109368000*ln2^3*z5 + 
    1979712000*ln2*z2*z5 - 267718500*z3*z5 - 1961717625*ln2*z7)/56448000, 
 H[-1, 0, 1, 1, -1, 1, 1, 0, 1] -> 
  (-76608000*li4half^2 + 1935360000*li8half + 193536000*li7half*ln2 - 
    6384000*li4half*ln2^4 - 123400*ln2^8 - 181008000*ln2^2*s6 - 
    7488000*ln2*s7a - 39744000*ln2*s7b + 535029075*s8a + 3483144000*s8b + 
    376992000*s8c + 288288000*s8d - 36288000*li6half*z2 + 
    20160000*li5half*ln2*z2 + 46368000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 
    924336000*s6*z2 + 119952000*li4half*z2^2 - 9349200*ln2^4*z2^2 - 
    2815200*ln2^2*z2^3 - 128890008*z2^4 - 572544000*li5half*z3 - 
    77616000*li4half*ln2*z3 + 1537200*ln2^5*z3 - 27552000*ln2^3*z2*z3 - 
    379387800*ln2*z2^2*z3 - 62374500*ln2^2*z3^2 - 402160500*z2*z3^2 + 
    31248000*ln2^3*z5 - 1027143000*ln2*z2*z5 + 306046125*z3*z5 - 
    325955250*ln2*z7)/8064000, H[-1, 0, 1, 1, -1, 1, 1, -1, 1] -> 
  (-338688000*li4half^2 + 2201472000*li8half - 1241856000*li7half*ln2 + 
    28224000*li5half*ln2^3 - 37632000*li4half*ln2^4 - 914200*ln2^8 + 
    119952000*ln2^2*s6 - 298368000*ln2*s7a + 82656000*ln2*s7b + 
    498114225*s8a + 3067848000*s8b + 356832000*s8c + 278208000*s8d - 
    84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 3880800*ln2^6*z2 - 
    873936000*s6*z2 + 320947200*li4half*z2^2 - 34078800*ln2^4*z2^2 - 
    263592000*ln2^2*z2^3 - 262577664*z2^4 - 535248000*li5half*z3 - 
    472752000*li4half*ln2*z3 - 15237600*ln2^5*z3 + 73584000*ln2^3*z2*z3 - 
    241227000*ln2*z2^2*z3 - 423139500*ln2^2*z3^2 - 387355500*z2*z3^2 - 
    328104000*ln2^3*z5 - 1350342000*ln2*z2*z5 + 473610375*z3*z5 + 
    2578393125*ln2*z7)/56448000, H[-1, 0, 1, 1, -1, 1, 0, 1, 1] -> 
  (141120000*li4half^2 - 13547520000*li8half - 5419008000*li7half*ln2 - 
    677376000*li6half*ln2^2 + 11760000*li4half*ln2^4 + 43400*ln2^8 + 
    2907072000*ln2^2*s6 - 1080576000*ln2*s7a + 1050336000*ln2*s7b - 
    5714183475*s8a - 35832888000*s8b - 3949344000*s8c - 3501792000*s8d - 
    508032000*li6half*z2 + 620928000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 - 3175200*ln2^6*z2 + 10411632000*s6*z2 - 
    814665600*li4half*z2^2 - 1604400*ln2^4*z2^2 - 619416000*ln2^2*z2^3 + 
    972039744*z2^4 + 6615504000*li5half*z3 + 49392000*li4half*ln2*z3 - 
    53071200*ln2^5*z3 + 528360000*ln2^3*z2*z3 + 4266498600*ln2*z2^2*z3 - 
    610123500*ln2^2*z3^2 + 4428553500*z2*z3^2 - 2064321000*ln2^3*z5 + 
    8347689000*ln2*z2*z5 - 5642083125*z3*z5 + 10355412375*ln2*z7)/56448000, 
 H[-1, 0, 1, 1, -1, 1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    173712000*ln2^2*s6 + 48384000*ln2*s7a - 31584000*ln2*s7b + 
    325845450*s8a + 1729392000*s8b + 250656000*s8c + 172704000*s8d - 
    56448000*li6half*z2 - 18816000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1097600*ln2^6*z2 - 566496000*s6*z2 - 
    19320000*li4half*z2^2 - 8253000*ln2^4*z2^2 + 96558000*ln2^2*z2^3 + 
    35742012*z2^4 - 326592000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    5661600*ln2^5*z3 - 50148000*ln2^3*z2*z3 - 299489400*ln2*z2^2*z3 + 
    25231500*ln2^2*z3^2 - 253333500*z2*z3^2 + 77469000*ln2^3*z5 - 
    680064000*ln2*z2*z5 + 496741875*z3*z5 - 268957500*ln2*z7)/9408000, 
 H[-1, 0, 1, 1, -1, 1, 0, -1, 1] -> (25804800*li4half^2 + 774144000*li8half + 
    154828800*li7half*ln2 + 2150400*li4half*ln2^4 + 33280*ln2^8 - 
    163267200*ln2^2*s6 + 44121600*ln2*s7a - 39340800*ln2*s7b + 
    329431725*s8a + 1987675200*s8b + 238291200*s8c + 170553600*s8d - 
    16934400*li6half*z2 + 22579200*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 - 272160*ln2^6*z2 - 552182400*s6*z2 + 
    15886080*li4half*z2^2 - 450240*ln2^4*z2^2 + 44339040*ln2^2*z2^3 - 
    35951616*z2^4 - 354614400*li5half*z3 + 28022400*li4half*ln2*z3 + 
    4122720*ln2^5*z3 - 40488000*ln2^3*z2*z3 - 261734040*ln2*z2^2*z3 + 
    21642300*ln2^2*z3^2 - 251710200*z2*z3^2 + 80854200*ln2^3*z5 - 
    627370200*ln2*z2*z5 + 303012675*z3*z5 - 367873875*ln2*z7)/1612800, 
 H[-1, 0, 1, 1, -1, 1, -1, 1, 1] -> 
  (169344000*li4half^2 + 2116800000*li8half - 28224000*li7half*ln2 + 
    84672000*li6half*ln2^2 + 9408000*li4half*ln2^4 + 273700*ln2^8 + 
    23184000*ln2^2*s6 + 4032000*ln2*s7a + 46368000*ln2*s7b + 403103925*s8a + 
    3137400000*s8b + 72576000*s8c + 498960000*s8d - 84672000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 5233200*ln2^6*z2 - 
    1347192000*s6*z2 - 8870400*li4half*z2^2 - 56729400*ln2^4*z2^2 - 
    54028800*ln2^2*z2^3 - 267799752*z2^4 - 1050840000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 11109000*ln2^5*z3 + 25326000*ln2^3*z2*z3 - 
    420928200*ln2*z2^2*z3 + 24270750*ln2^2*z3^2 - 218814750*z2*z3^2 - 
    41013000*ln2^3*z5 - 314244000*ln2*z2*z5 + 905499000*z3*z5 + 
    481068000*ln2*z7)/28224000, H[-1, 0, 1, 1, -1, 1, -1, 0, 1] -> 
  (-338688000*li4half^2 - 15805440000*li8half - 1580544000*li7half*ln2 - 
    28224000*li4half*ln2^4 - 666400*ln2^8 + 1611792000*ln2^2*s6 - 
    411264000*ln2*s7a - 72576000*ln2*s7b - 4276627425*s8a - 29329272000*s8b - 
    2401056000*s8c - 3243744000*s8d + 197568000*li6half*z2 - 
    169344000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    10780000*ln2^6*z2 + 9479232000*s6*z2 - 438480000*li4half*z2^2 + 
    44998800*ln2^4*z2^2 - 193435200*ln2^2*z2^3 + 1380561192*z2^4 + 
    6593328000*li5half*z3 - 112896000*li4half*ln2*z3 - 59648400*ln2^5*z3 + 
    535332000*ln2^3*z2*z3 + 3694685400*ln2*z2^2*z3 - 176431500*ln2^2*z3^2 + 
    2952243000*z2*z3^2 - 328104000*ln2^3*z5 + 7380198000*ln2*z2*z5 - 
    4737072375*z3*z5 - 11324250*ln2*z7)/56448000, 
 H[-1, 0, 1, 1, -1, 1, -1, -1, 1] -> 
  (169344000*li4half^2 - 2483712000*li8half - 56448000*li7half*ln2 - 
    254016000*li6half*ln2^2 + 23520000*li4half*ln2^4 + 282800*ln2^8 - 
    336672000*ln2^2*s6 - 94752000*ln2*s7a - 306432000*ln2*s7b + 
    224631225*s8a - 849240000*s8b + 651168000*s8c - 721728000*s8d + 
    254016000*li5half*ln2*z2 - 141120000*li4half*ln2^2*z2 - 
    13445600*ln2^6*z2 + 1478736000*s6*z2 - 233251200*li4half*z2^2 + 
    93475200*ln2^4*z2^2 + 290001600*ln2^2*z2^3 + 605842416*z2^4 + 
    1295280000*li5half*z3 + 162288000*li4half*ln2*z3 - 4032000*ln2^5*z3 - 
    176064000*ln2^3*z2*z3 + 171070200*ln2*z2^2*z3 - 170320500*ln2^2*z3^2 - 
    399514500*z2*z3^2 + 205065000*ln2^3*z5 - 1542870000*ln2*z2*z5 - 
    949843125*z3*z5 - 3027087000*ln2*z7)/56448000, 
 H[-1, 0, 1, 1, -1, 0, 1, 1, 1] -> (28224000*li4half^2 + 4515840000*li8half + 
    2709504000*li7half*ln2 + 677376000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 + 2352000*li4half*ln2^4 - 63000*ln2^8 - 
    1088640000*ln2^2*s6 + 838656000*ln2*s7a - 1108800000*ln2*s7b + 
    1979937225*s8a + 11768904000*s8b + 1445472000*s8c + 1038240000*s8d - 
    677376000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 1215200*ln2^6*z2 - 
    3791088000*s6*z2 + 200592000*li4half*z2^2 + 24234000*ln2^4*z2^2 + 
    250034400*ln2^2*z2^3 - 228525264*z2^4 - 2217600000*li5half*z3 - 
    7056000*li4half*ln2*z3 + 18186000*ln2^5*z3 - 177744000*ln2^3*z2*z3 - 
    1297737000*ln2*z2^2*z3 + 667768500*ln2^2*z3^2 - 1369651500*z2*z3^2 + 
    1863813000*ln2^3*z5 - 858375000*ln2*z2*z5 + 2147331375*z3*z5 - 
    7621236000*ln2*z7)/56448000, H[-1, 0, 1, 1, -1, 0, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    145152000*ln2^2*s6 + 124992000*ln2*s7a + 12096000*ln2*s7b + 
    220591350*s8a + 1381968000*s8b + 40320000*s8c + 298368000*s8d + 
    338688000*li6half*z2 - 56448000*li4half*ln2^2*z2 - 1881600*ln2^6*z2 - 
    603792000*s6*z2 - 34171200*li4half*z2^2 - 1423800*ln2^4*z2^2 + 
    3250800*ln2^2*z2^3 - 100571664*z2^4 - 356832000*li5half*z3 + 
    141120000*li4half*ln2*z3 + 8853600*ln2^5*z3 - 33264000*ln2^3*z2*z3 - 
    212839200*ln2*z2^2*z3 + 150570000*ln2^2*z3^2 - 170808750*z2*z3^2 + 
    109368000*ln2^3*z5 - 72922500*ln2*z2*z5 + 513583875*z3*z5 + 
    49313250*ln2*z7)/28224000, H[-1, 0, 1, 1, -1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 - 9031680000*li8half - 1354752000*li7half*ln2 - 
    37632000*li5half*ln2^3 - 9408000*li4half*ln2^4 + 162400*ln2^8 + 
    1898064000*ln2^2*s6 - 411264000*ln2*s7a + 618912000*ln2*s7b - 
    3976911225*s8a - 23215752000*s8b - 2973600000*s8c - 1909152000*s8d - 
    451584000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1842400*ln2^6*z2 + 
    6259680000*s6*z2 - 328204800*li4half*z2^2 + 5493600*ln2^4*z2^2 - 
    449013600*ln2^2*z2^3 + 490852944*z2^4 + 4139352000*li5half*z3 - 
    31752000*li4half*ln2*z3 - 35817600*ln2^5*z3 + 387282000*ln2^3*z2*z3 + 
    2992802400*ln2*z2^2*z3 - 95917500*ln2^2*z3^2 + 3125650500*z2*z3^2 - 
    986590500*ln2^3*z5 + 7642971000*ln2*z2*z5 - 3926742750*z3*z5 + 
    3959770500*ln2*z7)/28224000, H[-1, 0, 1, 1, -1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    18648000*ln2^2*s6 - 53424000*ln2*s7a + 130032000*ln2*s7b - 67151700*s8a - 
    282744000*s8b - 15120000*s8c - 69552000*s8d + 338688000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 
    371952000*s6*z2 - 42840000*li4half*z2^2 - 609000*ln2^4*z2^2 - 
    7837200*ln2^2*z2^3 + 1772958*z2^4 + 5040000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 1134000*ln2^5*z3 - 14574000*ln2^3*z2*z3 - 
    28595700*ln2*z2^2*z3 - 68843250*ln2^2*z3^2 - 27688500*z2*z3^2 - 
    177723000*ln2^3*z5 - 456120000*ln2*z2*z5 - 154523250*z3*z5 + 
    582679125*ln2*z7)/14112000, H[-1, 0, 1, 1, -1, 0, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    139104000*ln2^2*s6 - 36288000*ln2*s7a + 20160000*ln2*s7b - 
    265546575*s8a - 1401120000*s8b - 205632000*s8c - 133056000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 410760000*s6*z2 + 
    24192000*li4half*z2^2 - 2520000*ln2^4*z2^2 - 73256400*ln2^2*z2^3 - 
    32303532*z2^4 + 308448000*li5half*z3 - 42336000*li4half*ln2*z3 - 
    4334400*ln2^5*z3 + 36288000*ln2^3*z2*z3 + 259786800*ln2*z2^2*z3 - 
    16443000*ln2^2*z3^2 + 216735750*z2*z3^2 - 54684000*ln2^3*z5 + 
    596043000*ln2*z2*z5 - 427281750*z3*z5 + 234903375*ln2*z7)/14112000, 
 H[-1, 0, 1, 1, -1, 0, 0, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    2419200*ln2^2*s6 - 6652800*ln2*s7a - 9475200*ln2*s7b + 16520175*s8a + 
    31651200*s8b + 18144000*s8c - 1209600*s8d + 33868800*li6half*z2 - 
    11289600*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 + 23520*ln2^6*z2 + 
    8769600*s6*z2 + 8719200*li4half*z2^2 + 128100*ln2^4*z2^2 - 
    6191640*ln2^2*z2^3 - 8544822*z2^4 - 5342400*li5half*z3 - 
    15523200*li4half*ln2*z3 - 602280*ln2^5*z3 + 5023200*ln2^3*z2*z3 - 
    2538900*ln2*z2^2*z3 - 10867500*ln2^2*z3^2 - 22130325*z2*z3^2 + 
    2734200*ln2^3*z5 - 9928800*ln2*z2*z5 + 42610050*z3*z5 + 666225*ln2*z7)/
   2822400, H[-1, 0, 1, 1, -1, 0, -1, 1, 1] -> 
  (16128000*li4half^2 - 387072000*li7half*ln2 - 96768000*li6half*ln2^2 + 
    1344000*li4half*ln2^4 - 29600*ln2^8 + 18432000*ln2^2*s6 - 
    84960000*ln2*s7a + 106560000*ln2*s7b - 19752075*s8a - 216216000*s8b + 
    34272000*s8c - 94752000*s8d + 96768000*li6half*z2 + 
    122976000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 571200*ln2^6*z2 + 
    269136000*s6*z2 - 26006400*li4half*z2^2 - 966000*ln2^4*z2^2 - 
    6278400*ln2^2*z2^3 + 30962808*z2^4 + 93240000*li5half*z3 + 
    2016000*li4half*ln2*z3 - 693000*ln2^5*z3 - 11634000*ln2^3*z2*z3 - 
    20505600*ln2*z2^2*z3 - 99443250*ln2^2*z3^2 - 18411750*z2*z3^2 - 
    185535000*ln2^3*z5 - 561397500*ln2*z2*z5 - 171690750*z3*z5 + 
    853591500*ln2*z7)/4032000, H[-1, 0, 1, 1, -1, 0, -1, 0, 1] -> 
  (2257920*li4half^2 + 188160*li4half*ln2^4 + 3920*ln2^8 + 4112640*ln2^2*s6 + 
    3386880*ln2*s7a + 3386880*ln2*s7b - 9941400*s8a - 28385280*s8b - 
    14999040*s8c + 8225280*s8d - 6773760*li6half*z2 - 
    2257920*li5half*ln2*z2 - 1128960*li4half*ln2^2*z2 - 37632*ln2^6*z2 - 
    17438400*s6*z2 - 175392*li4half*z2^2 + 86772*ln2^4*z2^2 - 
    383544*ln2^2*z2^3 - 5082060*z2^4 - 9112320*li5half*z3 + 
    2540160*li4half*ln2*z3 + 181776*ln2^5*z3 - 547680*ln2^3*z2*z3 + 
    4147668*ln2*z2^2*z3 + 6342840*ln2^2*z3^2 + 12345165*z2*z3^2 + 
    39599280*ln2*z2*z5 + 8746920*z3*z5 + 29086155*ln2*z7)/564480, 
 H[-1, 0, 1, 1, -1, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2257920000*li8half + 903168000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 2352000*li4half*ln2^4 + 82600*ln2^8 - 
    436296000*ln2^2*s6 + 242592000*ln2*s7a - 223104000*ln2*s7b + 
    818651400*s8a + 5162304000*s8b + 516768000*s8c + 555744000*s8d + 
    18816000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 862400*ln2^6*z2 - 
    1647744000*s6*z2 + 86452800*li4half*z2^2 - 3649800*ln2^4*z2^2 + 
    87771600*ln2^2*z2^3 - 200650596*z2^4 - 1129128000*li5half*z3 + 
    23520000*li4half*ln2*z3 + 10389400*ln2^5*z3 - 62048000*ln2^3*z2*z3 - 
    651210000*ln2*z2^2*z3 + 206314500*ln2^2*z3^2 - 599182500*z2*z3^2 + 
    451143000*ln2^3*z5 - 861052500*ln2*z2*z5 + 1044925875*z3*z5 - 
    1675915500*ln2*z7)/9408000, H[-1, 0, 1, 1, -1, -1, 1, 1, 1] -> 
  (-28224000*li8half + 90316800*li7half*ln2 + 8467200*li6half*ln2^2 - 
    2822400*li5half*ln2^3 - 235200*li4half*ln2^4 + 6860*ln2^8 - 
    15523200*ln2^2*s6 + 25804800*ln2*s7a - 36288000*ln2*s7b - 11403000*s8a - 
    58262400*s8b - 3628800*s8c - 10483200*s8d - 8467200*li6half*z2 + 
    8467200*li5half*ln2*z2 - 39200*ln2^6*z2 + 19555200*s6*z2 - 
    2378880*li4half*z2^2 + 2840880*ln2^4*z2^2 + 6219360*ln2^2*z2^3 + 
    6346764*z2^4 + 6148800*li5half*z3 + 705600*li4half*ln2*z3 - 
    21840*ln2^5*z3 + 336000*ln2^3*z2*z3 + 15364440*ln2*z2^2*z3 + 
    30054150*ln2^2*z3^2 + 8564850*z2*z3^2 + 65620800*ln2^3*z5 + 
    103017600*ln2*z2*z5 - 11384100*z3*z5 - 261552375*ln2*z7)/5644800, 
 H[-1, 0, 1, 1, -1, -1, 1, 0, 1] -> 
  (-37632000*li4half^2 - 1505280000*li8half - 150528000*li7half*ln2 - 
    3136000*li4half*ln2^4 - 72800*ln2^8 + 197904000*ln2^2*s6 + 
    6048000*ln2*s7a + 29568000*ln2*s7b - 490030275*s8a - 3006360000*s8b - 
    407904000*s8c - 165984000*s8d - 47040000*li6half*z2 - 
    103488000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1803200*ln2^6*z2 + 
    595392000*s6*z2 - 12028800*li4half*z2^2 + 4320400*ln2^4*z2^2 - 
    42907200*ln2^2*z2^3 + 40672896*z2^4 + 435456000*li5half*z3 - 
    25872000*li4half*ln2*z3 - 4706800*ln2^5*z3 + 65688000*ln2^3*z2*z3 + 
    374652600*ln2*z2^2*z3 + 64921500*ln2^2*z3^2 + 414120000*z2*z3^2 - 
    22785000*ln2^3*z5 + 1309875000*ln2*z2*z5 - 193349625*z3*z5 + 
    346678500*ln2*z7)/18816000, H[-1, 0, 1, 1, -1, -1, 1, -1, 1] -> 
  (-169344000*li4half^2 - 790272000*li8half - 790272000*li7half*ln2 + 
    28224000*li5half*ln2^3 - 11760000*li4half*ln2^4 - 294000*ln2^8 + 
    547344000*ln2^2*s6 - 141120000*ln2*s7a + 409248000*ln2*s7b - 
    782795475*s8a - 3655512000*s8b - 812448000*s8c - 20160000*s8d - 
    254016000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 5370400*ln2^6*z2 + 
    456624000*s6*z2 + 84873600*li4half*z2^2 - 43327200*ln2^4*z2^2 - 
    232999200*ln2^2*z2^3 - 136879416*z2^4 + 188496000*li5half*z3 - 
    134064000*li4half*ln2*z3 - 7156800*ln2^5*z3 + 155064000*ln2^3*z2*z3 + 
    405203400*ln2*z2^2*z3 - 62149500*ln2^2*z3^2 + 728626500*z2*z3^2 - 
    587853000*ln2^3*z5 + 1706166000*ln2*z2*z5 - 340790625*z3*z5 + 
    2825101125*ln2*z7)/56448000, H[-1, 0, 1, 1, -1, -1, 0, 1, 1] -> 
  (4515840000*li8half + 1806336000*li7half*ln2 + 225792000*li6half*ln2^2 + 
    67200*ln2^8 - 1013040000*ln2^2*s6 + 294336000*ln2*s7a - 
    397152000*ln2*s7b + 2106627075*s8a + 12435192000*s8b + 1507968000*s8c + 
    1145088000*s8d + 84672000*li6half*z2 - 197568000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 862400*ln2^6*z2 - 3532032000*s6*z2 + 
    226900800*li4half*z2^2 - 1717800*ln2^4*z2^2 + 258577200*ln2^2*z2^3 - 
    300800448*z2^4 - 2166696000*li5half*z3 + 17640000*li4half*ln2*z3 + 
    18790800*ln2^5*z3 - 198198000*ln2^3*z2*z3 - 1519610400*ln2*z2^2*z3 + 
    136458000*ln2^2*z3^2 - 1656427500*z2*z3^2 + 669879000*ln2^3*z5 - 
    3134124000*ln2*z2*z5 + 2172350250*z3*z5 - 3725867250*ln2*z7)/28224000, 
 H[-1, 0, 1, 1, -1, -1, 0, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    21816000*ln2^2*s6 - 8208000*ln2*s7a + 3888000*ln2*s7b - 41614650*s8a - 
    215712000*s8b - 27216000*s8c - 29232000*s8d + 8064000*li6half*z2 + 
    8064000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 28000*ln2^6*z2 + 
    87948000*s6*z2 - 2721600*li4half*z2^2 + 1650600*ln2^4*z2^2 - 
    10128600*ln2^2*z2^3 + 2267046*z2^4 + 54936000*li5half*z3 - 
    4536000*li4half*ln2*z3 - 646800*ln2^5*z3 + 4200000*ln2^3*z2*z3 + 
    36877500*ln2*z2^2*z3 - 6432750*ln2^2*z3^2 + 30846375*z2*z3^2 - 
    11718000*ln2^3*z5 + 60210000*ln2*z2*z5 - 92011500*z3*z5 + 
    15760125*ln2*z7)/2016000, H[-1, 0, 1, 1, -1, -1, 0, -1, 1] -> 
  (-967680*li4half^2 - 103219200*li8half - 20643840*li7half*ln2 - 
    80640*li4half*ln2^4 - 144*ln2^8 + 20027520*ln2^2*s6 - 5875200*ln2*s7a + 
    5253120*ln2*s7b - 41481405*s8a - 254842560*s8b - 28304640*s8c - 
    24272640*s8d + 1774080*li6half*z2 - 1774080*li5half*ln2*z2 - 
    1048320*li4half*ln2^2*z2 - 40768*ln2^6*z2 + 75519360*s6*z2 - 
    4007808*li4half*z2^2 + 336336*ln2^4*z2^2 - 4487328*ln2^2*z2^3 + 
    6804144*z2^4 + 49593600*li5half*z3 - 766080*li4half*ln2*z3 - 
    445200*ln2^5*z3 + 3628800*ln2^3*z2*z3 + 32990040*ln2*z2^2*z3 - 
    3363660*ln2^2*z3^2 + 31011120*z2*z3^2 - 10780560*ln2^3*z5 + 
    70425360*ln2*z2*z5 - 44030385*z3*z5 + 44542080*ln2*z7)/322560, 
 H[-1, 0, 1, 1, -1, -1, -1, 1, 1] -> 
  (5644800*li4half^2 - 56448000*li8half - 84672000*li7half*ln2 - 
    16934400*li6half*ln2^2 + 3763200*li5half*ln2^3 + 705600*li4half*ln2^4 - 
    19880*ln2^8 - 35481600*ln2^2*s6 - 19756800*ln2*s7a + 19756800*ln2*s7b + 
    70164675*s8a + 287380800*s8b + 76608000*s8c + 3830400*s8d + 
    16934400*li6half*z2 + 16934400*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 30945600*s6*z2 - 
    2197440*li4half*z2^2 + 714000*ln2^4*z2^2 + 22503600*ln2^2*z2^3 + 
    19233828*z2^4 - 21067200*li5half*z3 + 4233600*li4half*ln2*z3 + 
    351960*ln2^5*z3 - 14456400*ln2^3*z2*z3 - 58658040*ln2*z2^2*z3 - 
    33286050*ln2^2*z3^2 - 71369550*z2*z3^2 - 43291500*ln2^3*z5 - 
    321904800*ln2*z2*z5 + 72393300*z3*z5 + 146974275*ln2*z7)/5644800, 
 H[-1, 0, 1, 1, -1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 + 6773760000*li8half + 677376000*li7half*ln2 + 
    4704000*li4half*ln2^4 + 131600*ln2^8 - 498960000*ln2^2*s6 + 
    135072000*ln2*s7a + 106848000*ln2*s7b + 1434174525*s8a + 
    10619784000*s8b + 727776000*s8c + 1163232000*s8d + 84672000*li6half*z2 + 
    169344000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 3763200*ln2^6*z2 - 
    3314304000*s6*z2 + 190310400*li4half*z2^2 - 28761600*ln2^4*z2^2 - 
    14716800*ln2^2*z2^3 - 601812216*z2^4 - 2389968000*li5half*z3 + 
    35280000*li4half*ln2*z3 + 21386400*ln2^5*z3 - 165648000*ln2^3*z2*z3 - 
    1291638600*ln2*z2^2*z3 + 66496500*ln2^2*z3^2 - 950890500*z2*z3^2 + 
    27342000*ln2^3*z5 - 2593773000*ln2*z2*z5 + 1199307375*z3*z5 + 
    426596625*ln2*z7)/56448000, H[-1, 0, 1, 1, -1, -1, -1, -1, 1] -> 
  (357504000*li8half + 319872000*li7half*ln2 + 47040000*li6half*ln2^2 - 
    12544000*li5half*ln2^3 - 784000*li4half*ln2^4 + 82600*ln2^8 + 
    10416000*ln2^2*s6 + 61152000*ln2*s7a - 61152000*ln2*s7b - 67466175*s8a - 
    176232000*s8b - 77280000*s8c + 6720000*s8d - 9408000*li5half*ln2*z2 + 
    274400*ln2^6*z2 + 21840000*s6*z2 + 1344000*li4half*z2^2 + 
    1486800*ln2^4*z2^2 - 28392000*ln2^2*z2^3 - 48934848*z2^4 - 
    6384000*li5half*z3 + 53200*ln2^5*z3 + 13580000*ln2^3*z2*z3 + 
    60089400*ln2*z2^2*z3 + 75988500*ln2^2*z3^2 + 67147500*z2*z3^2 + 
    135191000*ln2^3*z5 + 434406000*ln2*z2*z5 - 110100375*z3*z5 - 
    422239125*ln2*z7)/18816000, H[-1, 0, 1, 0, 1, 1, 1, 1, 1] -> 
  (-18816000*li4half^2 + 37632000*li8half + 37632000*li7half*ln2 + 
    18816000*li6half*ln2^2 + 6272000*li5half*ln2^3 + 7224000*ln2^2*s6 - 
    14448000*ln2*s7a + 6720000*ln2*s7b - 17622150*s8a - 137424000*s8b - 
    6720000*s8c - 14448000*s8d - 18816000*li6half*z2 - 
    18816000*li5half*ln2*z2 + 50064000*s6*z2 - 2889600*li4half*z2^2 - 
    120400*ln2^4*z2^2 - 2167200*ln2^2*z2^3 - 5789424*z2^4 + 
    61824000*li5half*z3 - 240800*ln2^5*z3 + 2408000*ln2^3*z2*z3 + 
    20084400*ln2*z2^2*z3 - 9030000*ln2^2*z3^2 + 1512000*z2*z3^2 - 
    13671000*ln2^3*z5 + 26292000*ln2*z2*z5 - 3672375*z3*z5 + 26740875*ln2*z7)/
   9408000, H[-1, 0, 1, 0, 1, 1, 1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 2230200*s8a + 
    36792000*s8b - 8064000*s8c + 8064000*s8d + 8064000*li6half*z2 + 
    8064000*li5half*ln2*z2 - 56000*ln2^6*z2 - 20664000*s6*z2 + 
    2419200*li4half*z2^2 + 100800*ln2^4*z2^2 + 1008000*ln2^2*z2^3 + 
    883608*z2^4 - 32256000*li5half*z3 - 2016000*li4half*ln2*z3 + 
    184800*ln2^5*z3 - 1008000*ln2^3*z2*z3 - 6098400*ln2*z2^2*z3 + 
    4158000*ln2^2*z3^2 + 11151000*z2*z3^2 - 2803500*ln2*z2*z5 - 
    19876500*z3*z5 + 12229875*ln2*z7)/4032000, 
 H[-1, 0, 1, 0, 1, 1, 1, -1, 1] -> (-28224000*li4half^2 - 620928000*li8half - 
    56448000*li7half*ln2 - 9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    72800*ln2^8 - 1512000*ln2^2*s6 + 64008000*ln2*s7a - 17136000*ln2*s7b - 
    99150975*s8a - 328860000*s8b - 124992000*s8c + 79128000*s8d - 
    28224000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 529200*ln2^6*z2 - 
    135324000*s6*z2 + 42638400*li4half*z2^2 + 4305000*ln2^4*z2^2 + 
    10092600*ln2^2*z2^3 + 11989674*z2^4 - 140616000*li5half*z3 - 
    72324000*li4half*ln2*z3 - 2253300*ln2^5*z3 + 29442000*ln2^3*z2*z3 + 
    60291000*ln2*z2^2*z3 + 75978000*ln2^2*z3^2 + 105430500*z2*z3^2 + 
    68355000*ln2^3*z5 + 486391500*ln2*z2*z5 + 163130625*z3*z5 - 
    302092875*ln2*z7)/14112000, H[-1, 0, 1, 0, 1, 1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    38304000*ln2^2*s6 - 76608000*ln2*s7a - 76608000*ln2*s7b + 65423925*s8a + 
    59472000*s8b + 76608000*s8c - 76608000*s8d + 112896000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 
    89712000*s6*z2 - 68947200*li4half*z2^2 - 6400800*ln2^4*z2^2 + 
    1915200*ln2^2*z2^3 + 7537248*z2^4 + 82656000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 487200*ln2^5*z3 + 16296000*ln2^3*z2*z3 - 
    9097200*ln2*z2^2*z3 - 35532000*ln2^2*z3^2 - 35406000*z2*z3^2 - 
    36981000*ln2*z2*z5 - 48462750*z3*z5 - 387875250*ln2*z7)/28224000, 
 H[-1, 0, 1, 0, 1, 1, 0, 0, 1] -> (-268800*ln2^2*s6 + 537600*ln2*s7a + 
    537600*ln2*s7b - 341775*s8a - 1176000*s8b - 537600*s8c + 537600*s8d - 
    1075200*s6*z2 - 147840*li4half*z2^2 - 6160*ln2^4*z2^2 + 
    144480*ln2^2*z2^3 - 395842*z2^4 - 672000*li5half*z3 + 
    403200*li4half*ln2*z3 + 22400*ln2^5*z3 - 156800*ln2^3*z2*z3 + 
    35280*ln2*z2^2*z3 + 512400*ln2^2*z3^2 + 329700*z2*z3^2 - 
    33600*ln2*z2*z5 + 1706250*z3*z5 + 4580625*ln2*z7)/134400, 
 H[-1, 0, 1, 0, 1, 1, 0, -1, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 - 
    84672000*ln2^2*s6 + 76608000*ln2*s7a + 76608000*ln2*s7b + 16721775*s8a - 
    425880000*s8b + 16128000*s8c - 16128000*s8d + 56448000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 3920000*ln2^6*z2 + 
    504000*s6*z2 - 189504000*li4half*z2^2 + 2688000*ln2^4*z2^2 + 
    60379200*ln2^2*z2^3 - 58926276*z2^4 + 4032000*li5half*z3 + 
    366912000*li4half*ln2*z3 + 15254400*ln2^5*z3 - 83160000*ln2^3*z2*z3 - 
    164669400*ln2*z2^2*z3 + 124362000*ln2^2*z3^2 - 13198500*z2*z3^2 - 
    227115000*ln2*z2*z5 + 385229250*z3*z5 + 1283987250*ln2*z7)/28224000, 
 H[-1, 0, 1, 0, 1, 1, -1, 1, 1] -> 
  (-338688000*li4half^2 + 2032128000*li8half - 1580544000*li7half*ln2 - 
    451584000*li6half*ln2^2 - 37632000*li4half*ln2^4 - 1243200*ln2^8 + 
    315504000*ln2^2*s6 - 723744000*ln2*s7a + 24192000*ln2*s7b + 
    597348675*s8a + 1604232000*s8b + 901152000*s8c - 774144000*s8d + 
    451584000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 2273600*ln2^6*z2 + 1442448000*s6*z2 + 
    51206400*li4half*z2^2 - 28207200*ln2^4*z2^2 - 312480000*ln2^2*z2^3 + 
    154943568*z2^4 + 1477728000*li5half*z3 - 225792000*li4half*ln2*z3 - 
    23368800*ln2^5*z3 - 20916000*ln2^3*z2*z3 + 30907800*ln2*z2^2*z3 - 
    929974500*ln2^2*z3^2 - 617872500*z2*z3^2 - 724563000*ln2^3*z5 - 
    2752029000*ln2*z2*z5 - 2060533125*z3*z5 + 1138063500*ln2*z7)/56448000, 
 H[-1, 0, 1, 0, 1, 1, -1, 0, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 - 
    213696000*ln2^2*s6 + 342720000*ln2*s7a + 229824000*ln2*s7b + 
    23059575*s8a + 1172808000*s8b - 258048000*s8c + 596736000*s8d - 
    56448000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 5017600*ln2^6*z2 - 1281672000*s6*z2 - 
    44352000*li4half*z2^2 + 11088000*ln2^4*z2^2 + 149990400*ln2^2*z2^3 - 
    192445548*z2^4 - 1122912000*li5half*z3 + 324576000*li4half*ln2*z3 + 
    22881600*ln2^5*z3 - 182952000*ln2^3*z2*z3 - 416707200*ln2*z2^2*z3 + 
    384426000*ln2^2*z3^2 + 51093000*z2*z3^2 + 109368000*ln2^3*z5 + 
    146223000*ln2*z2*z5 + 1424839500*z3*z5 + 1700322750*ln2*z7)/28224000, 
 H[-1, 0, 1, 0, 1, 1, -1, -1, 1] -> 
  (931392000*li4half^2 + 225792000*li8half + 1580544000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 87024000*li4half*ln2^4 + 2171400*ln2^8 - 
    710640000*ln2^2*s6 + 780192000*ln2*s7a + 173376000*ln2*s7b - 
    19131525*s8a + 272664000*s8b - 195552000*s8c + 379008000*s8d + 
    338688000*li5half*ln2*z2 - 268128000*li4half*ln2^2*z2 - 
    16973600*ln2^6*z2 - 849744000*s6*z2 - 635443200*li4half*z2^2 + 
    49610400*ln2^4*z2^2 + 435254400*ln2^2*z2^3 - 125398584*z2^4 - 
    955584000*li5half*z3 + 1390032000*li4half*ln2*z3 + 67527600*ln2^5*z3 - 
    339528000*ln2^3*z2*z3 - 821179800*ln2*z2^2*z3 + 1042650000*ln2^2*z3^2 + 
    85144500*z2*z3^2 + 587853000*ln2^3*z5 - 178857000*ln2*z2*z5 + 
    1384039125*z3*z5 + 1190196000*ln2*z7)/56448000, 
 H[-1, 0, 1, 0, 1, 0, 1, 1, 1] -> (1612800*li4half^2 + 134400*li4half*ln2^4 + 
    2800*ln2^8 - 3225600*ln2^2*s6 + 6451200*ln2*s7a + 3225600*ln2*s7b - 
    1096200*s8a + 21672000*s8b - 3225600*s8c + 6451200*s8d - 
    806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 16128000*s6*z2 + 
    887040*li4half*z2^2 + 137760*ln2^4*z2^2 + 1068480*ln2^2*z2^3 - 
    162684*z2^4 - 16128000*li5half*z3 - 403200*li4half*ln2*z3 + 
    117600*ln2^5*z3 - 1243200*ln2^3*z2*z3 - 3638880*ln2*z2^2*z3 + 
    3855600*ln2^2*z3^2 + 4410000*z2*z3^2 + 2083200*ln2^3*z5 - 
    2620800*ln2*z2*z5 + 245700*z3*z5 + 16265025*ln2*z7)/806400, 
 H[-1, 0, 1, 0, 1, 0, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b + 2623950*s8a - 
    8064000*s8b + 8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 18144000*s6*z2 + 3528000*li4half*z2^2 - 
    357000*ln2^4*z2^2 - 2494800*ln2^2*z2^3 + 1946277*z2^4 + 
    24192000*li5half*z3 - 6048000*li4half*ln2*z3 - 453600*ln2^5*z3 + 
    3528000*ln2^3*z2*z3 + 7875000*ln2*z2^2*z3 - 7686000*ln2^2*z3^2 - 
    7969500*z2*z3^2 - 2394000*ln2*z2*z5 - 11355750*z3*z5 - 42273000*ln2*z7)/
   1008000, H[-1, 0, 1, 0, 1, 0, 1, -1, 1] -> 
  (7296000*ln2^2*s6 - 12672000*ln2*s7a - 7296000*ln2*s7b - 5829600*s8a - 
    96768000*s8b + 10752000*s8c - 32256000*s8d + 8064000*li5half*ln2*z2 - 
    67200*ln2^6*z2 + 75264000*s6*z2 - 6451200*li4half*z2^2 + 
    403200*ln2^4*z2^2 - 2882400*ln2^2*z2^3 + 9282624*z2^4 + 
    60480000*li5half*z3 - 504000*ln2^5*z3 + 1512000*ln2^3*z2*z3 + 
    18843000*ln2*z2^2*z3 - 15000000*ln2^2*z3^2 - 3129000*z2*z3^2 - 
    3472000*ln2^3*z5 - 28180500*ln2*z2*z5 - 58805250*z3*z5 - 24406125*ln2*z7)/
   1344000, H[-1, 0, 1, 0, 1, 0, 0, 1, 1] -> 
  (2257920*li4half^2 + 188160*li4half*ln2^4 + 3920*ln2^8 + 403200*ln2^2*s6 - 
    806400*ln2*s7a - 806400*ln2*s7b + 2115540*s8a - 7076160*s8b + 
    806400*s8c - 806400*s8d - 1128960*li4half*ln2^2*z2 - 47040*ln2^6*z2 + 
    3870720*s6*z2 - 1516032*li4half*z2^2 + 77952*ln2^4*z2^2 + 
    217728*ln2^2*z2^3 - 1123560*z2^4 - 645120*li5half*z3 + 
    1693440*li4half*ln2*z3 + 75936*ln2^5*z3 - 477120*ln2^3*z2*z3 - 
    1125936*ln2*z2^2*z3 + 236880*ln2^2*z3^2 - 3003840*z2*z3^2 + 
    2348640*ln2*z2*z5 + 12918780*z3*z5 - 1850625*ln2*z7)/564480, 
 H[-1, 0, 1, 0, 1, 0, 0, 0, 1] -> 
  (-1500*s8a + 62400*s8b + 6720*li4half*z2^2 + 280*ln2^4*z2^2 - 
    1680*ln2^2*z2^3 + 12969*z2^4 - 5640*ln2*z2^2*z3 + 6750*z2*z3^2 - 
    19200*ln2*z2*z5 - 74700*z3*z5 - 75825*ln2*z7)/4800, 
 H[-1, 0, 1, 0, 1, 0, 0, -1, 1] -> (1344000*ln2*s7a + 1344000*ln2*s7b - 
    723450*s8a + 17472000*s8b - 2688000*s8c + 2688000*s8d - 3494400*s6*z2 + 
    1008000*li4half*z2^2 + 42000*ln2^4*z2^2 + 50400*ln2^2*z2^3 + 
    1960158*z2^4 - 8198400*li5half*z3 - 2822400*li4half*ln2*z3 - 
    49280*ln2^5*z3 + 22400*ln2^3*z2*z3 - 640920*ln2*z2^2*z3 + 
    823200*ln2^2*z3^2 + 1354500*z2*z3^2 + 1131900*ln2*z2*z5 - 5636400*z3*z5 - 
    24919125*ln2*z7)/940800, H[-1, 0, 1, 0, 1, 0, -1, 1, 1] -> 
  (64512000*li4half^2 + 5376000*li4half*ln2^4 + 112000*ln2^8 + 
    10368000*ln2^2*s6 + 21888000*ln2*s7a + 54144000*ln2*s7b - 37699200*s8a - 
    32256000*s8b - 96768000*s8c + 96768000*s8d + 24192000*li5half*ln2*z2 + 
    16128000*li4half*ln2^2*z2 + 470400*ln2^6*z2 - 177408000*s6*z2 - 
    20966400*li4half*z2^2 - 6921600*ln2^4*z2^2 + 13082400*ln2^2*z2^3 - 
    48395232*z2^4 - 219744000*li5half*z3 + 32256000*li4half*ln2*z3 + 
    3175200*ln2^5*z3 + 5376000*ln2^3*z2*z3 - 44811000*ln2*z2^2*z3 + 
    49662000*ln2^2*z3^2 + 47628000*z2*z3^2 - 31248000*ln2^3*z5 + 
    132547500*ln2*z2*z5 + 273569625*z3*z5 + 333384750*ln2*z7)/4032000, 
 H[-1, 0, 1, 0, 1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    1344000*ln2^2*s6 - 5376000*ln2*s7a - 5376000*ln2*s7b + 3141600*s8a + 
    2688000*s8b + 8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 15456000*s6*z2 + 3796800*li4half*z2^2 - 
    345800*ln2^4*z2^2 - 2091600*ln2^2*z2^3 + 3837531*z2^4 + 
    18144000*li5half*z3 - 7392000*li4half*ln2*z3 - 459200*ln2^5*z3 + 
    3360000*ln2^3*z2*z3 + 5233200*ln2*z2^2*z3 - 6972000*ln2^2*z3^2 - 
    4231500*z2*z3^2 - 9072000*ln2*z2*z5 - 22876875*z3*z5 - 38834250*ln2*z7)/
   336000, H[-1, 0, 1, 0, 1, 0, -1, -1, 1] -> 
  (-3225600*li4half^2 - 268800*li4half*ln2^4 - 5600*ln2^8 + 161280*ln2^2*s6 - 
    1290240*ln2*s7a - 2580480*ln2*s7b + 2405340*s8a + 9676800*s8b + 
    2903040*s8c - 967680*s8d - 967680*li5half*ln2*z2 + 
    645120*li4half*ln2^2*z2 + 34944*ln2^6*z2 + 967680*s6*z2 + 
    2257920*li4half*z2^2 + 53760*ln2^4*z2^2 - 701568*ln2^2*z2^3 + 
    781632*z2^4 + 2419200*li5half*z3 - 4596480*li4half*ln2*z3 - 
    211680*ln2^5*z3 + 927360*ln2^3*z2*z3 + 1785672*ln2*z2^2*z3 - 
    2459520*ln2^2*z3^2 - 2352420*z2*z3^2 + 1249920*ln2^3*z5 - 
    486360*ln2*z2*z5 - 2886975*z3*z5 - 20000610*ln2*z7)/161280, 
 H[-1, 0, 1, 0, 1, -1, 1, 1, 1] -> (28224000*li4half^2 - 1354752000*li8half + 
    677376000*li7half*ln2 - 112896000*li6half*ln2^2 - 
    112896000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 665000*ln2^8 - 
    575568000*ln2^2*s6 + 504000000*ln2*s7a + 94752000*ln2*s7b + 
    46191600*s8a + 953568000*s8b - 40320000*s8c + 379008000*s8d + 
    112896000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1842400*ln2^6*z2 - 835632000*s6*z2 + 
    68745600*li4half*z2^2 + 42025200*ln2^4*z2^2 + 253864800*ln2^2*z2^3 + 
    64891656*z2^4 - 997920000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    6375600*ln2^5*z3 - 80808000*ln2^3*z2*z3 - 351313200*ln2*z2^2*z3 + 
    407673000*ln2^2*z3^2 + 76545000*z2*z3^2 + 410130000*ln2^3*z5 - 
    57708000*ln2*z2*z5 + 798997500*z3*z5 - 192819375*ln2*z7)/56448000, 
 H[-1, 0, 1, 0, 1, -1, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    197568000*ln2^2*s6 - 92736000*ln2*s7a + 20160000*ln2*s7b - 
    279949950*s8a - 1318464000*s8b - 209664000*s8c - 129024000*s8d - 
    112896000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1960000*ln2^6*z2 + 363888000*s6*z2 + 
    46166400*li4half*z2^2 - 428400*ln2^4*z2^2 - 62218800*ln2^2*z2^3 - 
    4182132*z2^4 + 356832000*li5half*z3 - 84672000*li4half*ln2*z3 - 
    6501600*ln2^5*z3 + 46788000*ln2^3*z2*z3 + 275536800*ln2*z2^2*z3 - 
    61740000*ln2^2*z3^2 + 224721000*z2*z3^2 - 109368000*ln2^3*z5 + 
    509465250*ln2*z2*z5 - 503165250*z3*z5 + 148467375*ln2*z7)/14112000, 
 H[-1, 0, 1, 0, 1, -1, 1, -1, 1] -> 
  (-64512000*li4half^2 + 516096000*li8half - 96768000*li7half*ln2 + 
    16128000*li5half*ln2^3 - 5376000*li4half*ln2^4 - 214400*ln2^8 + 
    24192000*ln2^2*s6 - 56448000*ln2*s7a + 30240000*ln2*s7b + 100094400*s8a + 
    709632000*s8b + 64512000*s8c + 64512000*s8d - 80640000*li5half*ln2*z2 - 
    16128000*li4half*ln2^2*z2 + 582400*ln2^6*z2 - 193536000*s6*z2 + 
    58060800*li4half*z2^2 - 7392000*ln2^4*z2^2 - 44517600*ln2^2*z2^3 - 
    49481856*z2^4 - 88704000*li5half*z3 - 52416000*li4half*ln2*z3 - 
    1209600*ln2^5*z3 + 5376000*ln2^3*z2*z3 - 56221200*ln2*z2^2*z3 - 
    76104000*ln2^2*z3^2 - 75222000*z2*z3^2 - 85932000*ln2^3*z5 - 
    240408000*ln2*z2*z5 + 17482500*z3*z5 + 361942875*ln2*z7)/8064000, 
 H[-1, 0, 1, 0, 1, -1, 0, 1, 1] -> (-36288000*ln2^2*s6 - 112896000*ln2*s7a - 
    338688000*ln2*s7b + 444965850*s8a + 1045296000*s8b + 411264000*s8c - 
    72576000*s8d - 451584000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    313600*ln2^6*z2 - 193536000*s6*z2 - 14515200*li4half*z2^2 - 
    604800*ln2^4*z2^2 + 37699200*ln2^2*z2^3 + 68706936*z2^4 + 
    215712000*li5half*z3 - 1797600*ln2^5*z3 + 1512000*ln2^3*z2*z3 - 
    69085800*ln2*z2^2*z3 - 65772000*ln2^2*z3^2 - 394884000*z2*z3^2 + 
    218736000*ln2^3*z5 - 117621000*ln2*z2*z5 + 639741375*z3*z5 - 
    1699834500*ln2*z7)/28224000, H[-1, 0, 1, 0, 1, -1, 0, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    5184000*ln2^2*s6 + 5184000*ln2*s7a + 5184000*ln2*s7b - 201600*s8a + 
    12096000*s8b - 8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 + 
    4032000*s6*z2 - 10281600*li4half*z2^2 + 579600*ln2^4*z2^2 + 
    4773600*ln2^2*z2^3 + 5971794*z2^4 - 6048000*li5half*z3 + 
    12096000*li4half*ln2*z3 + 554400*ln2^5*z3 - 3528000*ln2^3*z2*z3 - 
    9214200*ln2*z2^2*z3 + 3834000*ln2^2*z3^2 + 2457000*z2*z3^2 - 
    23985000*ln2*z2*z5 - 15403500*z3*z5 + 4856625*ln2*z7)/2016000, 
 H[-1, 0, 1, 0, 1, -1, 0, -1, 1] -> 
  (3225600*li4half^2 + 268800*li4half*ln2^4 + 5600*ln2^8 + 979200*ln2^2*s6 - 
    576000*ln2*s7a + 1036800*ln2*s7b - 2690100*s8a - 16128000*s8b - 
    806400*s8c - 4032000*s8d - 1612800*li6half*z2 + 4435200*li5half*ln2*z2 + 
    806400*li4half*ln2^2*z2 - 5600*ln2^6*z2 + 10080000*s6*z2 - 
    3064320*li4half*z2^2 - 127680*ln2^4*z2^2 + 685080*ln2^2*z2^3 + 
    2202984*z2^4 + 5443200*li5half*z3 + 2620800*li4half*ln2*z3 + 
    63840*ln2^5*z3 - 260400*ln2^3*z2*z3 + 1245420*ln2*z2^2*z3 - 
    518400*ln2^2*z3^2 + 1773450*z2*z3^2 - 1562400*ln2^3*z5 - 
    6036525*ln2*z2*z5 - 10119375*z3*z5 - 874575*ln2*z7)/201600, 
 H[-1, 0, 1, 0, 1, -1, -1, 1, 1] -> (90316800*li4half^2 - 180633600*li8half + 
    135475200*li7half*ln2 + 90316800*li6half*ln2^2 + 15052800*li5half*ln2^3 + 
    7526400*li4half*ln2^4 + 125440*ln2^8 + 54633600*ln2^2*s6 + 
    35481600*ln2*s7a - 15321600*ln2*s7b - 46876725*s8a - 298267200*s8b - 
    135072000*s8c + 106848000*s8d - 90316800*li6half*z2 + 
    22579200*li4half*ln2^2*z2 + 878080*ln2^6*z2 - 222163200*s6*z2 - 
    35078400*li4half*z2^2 - 10869600*ln2^4*z2^2 + 19141920*ln2^2*z2^3 - 
    61545024*z2^4 - 224985600*li5half*z3 + 45158400*li4half*ln2*z3 + 
    4085760*ln2^5*z3 + 13238400*ln2^3*z2*z3 - 8106840*ln2*z2^2*z3 + 
    96245100*ln2^2*z3^2 + 60687900*z2*z3^2 + 44658600*ln2^3*z5 + 
    508258800*ln2*z2*z5 + 505157625*z3*z5 - 91466550*ln2*z7)/11289600, 
 H[-1, 0, 1, 0, 1, -1, -1, 0, 1] -> 
  (-48384000*li4half^2 - 4032000*li4half*ln2^4 - 84000*ln2^8 - 
    19008000*ln2^2*s6 - 21312000*ln2*s7a - 37440000*ln2*s7b + 53779950*s8a + 
    215712000*s8b + 80640000*s8c - 32256000*s8d + 32256000*li6half*z2 + 
    24192000*li4half*ln2^2*z2 + 1052800*ln2^6*z2 + 53424000*s6*z2 + 
    26006400*li4half*z2^2 - 2612400*ln2^4*z2^2 - 7696800*ln2^2*z2^3 + 
    25677132*z2^4 + 70560000*li5half*z3 - 44352000*li4half*ln2*z3 - 
    2436000*ln2^5*z3 + 18144000*ln2^3*z2*z3 - 790200*ln2*z2^2*z3 - 
    38862000*ln2^2*z3^2 - 56007000*z2*z3^2 + 15624000*ln2^3*z5 - 
    132790500*ln2*z2*z5 - 107690625*z3*z5 - 287120250*ln2*z7)/4032000, 
 H[-1, 0, 1, 0, 1, -1, -1, -1, 1] -> 
  (-225792000*li4half^2 - 1354752000*li8half - 677376000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 134400*ln2^8 + 97776000*ln2^2*s6 - 
    399168000*ln2*s7a - 286272000*ln2*s7b + 656775*s8a - 1600200000*s8b + 
    433440000*s8c - 856800000*s8d + 395136000*li5half*ln2*z2 + 
    197568000*li4half*ln2^2*z2 + 3841600*ln2^6*z2 + 1925280000*s6*z2 + 
    20563200*li4half*z2^2 + 18026400*ln2^4*z2^2 - 18597600*ln2^2*z2^3 + 
    498754584*z2^4 + 1487808000*li5half*z3 - 529200000*li4half*ln2*z3 - 
    36094800*ln2^5*z3 + 152796000*ln2^3*z2*z3 + 604233000*ln2*z2^2*z3 - 
    597618000*ln2^2*z3^2 - 187267500*z2*z3^2 - 86583000*ln2^3*z5 - 
    953316000*ln2*z2*z5 - 1754384625*z3*z5 - 2908221750*ln2*z7)/56448000, 
 H[-1, 0, 1, 0, 0, 1, 1, 1, 1] -> (1512000*ln2^2*s6 - 3024000*ln2*s7a - 
    10080000*ln2*s7b + 13247325*s8a + 20328000*s8b + 10080000*s8c - 
    3024000*s8d - 1008000*s6*z2 + 6921600*li4half*z2^2 + 288400*ln2^4*z2^2 - 
    2335200*ln2^2*z2^3 - 3366168*z2^4 + 6048000*li5half*z3 - 50400*ln2^5*z3 + 
    504000*ln2^3*z2*z3 - 785400*ln2*z2^2*z3 - 1890000*ln2^2*z3^2 - 
    8589000*z2*z3^2 + 4557000*ln2^3*z5 + 18186000*ln2*z2*z5 + 
    10038000*z3*z5 - 44604000*ln2*z7)/4704000, 
 H[-1, 0, 1, 0, 0, 1, 1, 0, 1] -> (-416850*s8a - 2184000*s8b + 504000*s6*z2 - 
    1344000*li4half*z2^2 - 56000*ln2^4*z2^2 + 336000*ln2^2*z2^3 + 
    228224*z2^4 - 168000*ln2*z2^2*z3 - 199500*z2*z3^2 - 1312500*ln2*z2*z5 + 
    2126250*z3*z5 + 1519875*ln2*z7)/672000, H[-1, 0, 1, 0, 0, 1, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    235872000*ln2^2*s6 - 82656000*ln2*s7a + 129024000*ln2*s7b - 
    383499900*s8a - 1892520000*s8b - 306432000*s8c - 159264000*s8d - 
    84672000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1881600*ln2^6*z2 + 
    551376000*s6*z2 - 3628800*li4half*z2^2 - 10735200*ln2^4*z2^2 - 
    91854000*ln2^2*z2^3 - 27411264*z2^4 + 367920000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 2772000*ln2^5*z3 + 39480000*ln2^3*z2*z3 + 
    267321600*ln2*z2^2*z3 - 60228000*ln2^2*z3^2 + 313834500*z2*z3^2 - 
    191394000*ln2^3*z5 + 586813500*ln2*z2*z5 - 593830125*z3*z5 + 
    867195000*ln2*z7)/28224000, H[-1, 0, 1, 0, 0, 1, 0, 1, 1] -> 
  (-1344000*ln2^2*s6 + 2688000*ln2*s7a + 2688000*ln2*s7b - 2490075*s8a + 
    7056000*s8b - 2688000*s8c + 2688000*s8d - 4368000*s6*z2 + 
    1344000*li4half*z2^2 + 56000*ln2^4*z2^2 + 201600*ln2^2*z2^3 + 
    407488*z2^4 - 5376000*li5half*z3 + 44800*ln2^5*z3 - 448000*ln2^3*z2*z3 - 
    621600*ln2*z2^2*z3 + 1680000*ln2^2*z3^2 + 2037000*z2*z3^2 - 
    5481000*ln2*z2*z5 - 3606750*z3*z5 + 11051250*ln2*z7)/672000, 
 H[-1, 0, 1, 0, 0, 1, 0, 0, 1] -> 
  (-4725*s8a - 100800*s8b + 107520*li4half*z2^2 + 4480*ln2^4*z2^2 - 
    26880*ln2^2*z2^3 - 53958*z2^4 + 40320*ln2*z2^2*z3 - 12600*z2*z3^2 + 
    134400*ln2*z2*z5 + 13650*z3*z5 + 267225*ln2*z7)/22400, 
 H[-1, 0, 1, 0, 0, 1, 0, -1, 1] -> (-460800*li4half^2 - 38400*li4half*ln2^4 - 
    800*ln2^8 + 230400*ln2^2*s6 - 230400*ln2*s7a - 230400*ln2*s7b + 
    230400*li4half*ln2^2*z2 + 9600*ln2^6*z2 + 43200*s6*z2 + 
    408960*li4half*z2^2 - 11760*ln2^4*z2^2 - 142560*ln2^2*z2^3 - 78018*z2^4 - 
    806400*li4half*ln2*z3 - 33600*ln2^5*z3 + 201600*ln2^3*z2*z3 + 
    368640*ln2*z2^2*z3 - 288000*ln2^2*z3^2 - 11700*z2*z3^2 + 
    714600*ln2*z2*z5 - 23625*z3*z5 - 1461600*ln2*z7)/57600, 
 H[-1, 0, 1, 0, 0, 1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    107184000*ln2^2*s6 + 18816000*ln2*s7a + 87479175*s8a + 412944000*s8b + 
    115584000*s8c - 16800000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 14784000*s6*z2 + 29568000*li4half*z2^2 + 
    11816000*ln2^4*z2^2 + 37296000*ln2^2*z2^3 + 41524248*z2^4 + 
    33600000*li5half*z3 - 280000*ln2^5*z3 - 28952000*ln2^3*z2*z3 - 
    66154200*ln2*z2^2*z3 - 819000*ln2^2*z3^2 - 96537000*z2*z3^2 + 
    18228000*ln2^3*z5 - 415254000*ln2*z2*z5 - 42847875*z3*z5 - 
    70927500*ln2*z7)/9408000, H[-1, 0, 1, 0, 0, 1, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    36288000*ln2^2*s6 + 36288000*ln2*s7a + 36288000*ln2*s7b - 62681850*s8a - 
    9072000*s8b - 145152000*s8c + 145152000*s8d - 56448000*li4half*ln2^2*z2 - 
    2352000*ln2^6*z2 - 343224000*s6*z2 - 17539200*li4half*z2^2 + 
    6325200*ln2^4*z2^2 - 10584000*ln2^2*z2^3 - 84722226*z2^4 - 
    290304000*li5half*z3 + 2419200*ln2^5*z3 - 24192000*ln2^3*z2*z3 + 
    12020400*ln2*z2^2*z3 + 65772000*ln2^2*z3^2 + 103792500*z2*z3^2 + 
    404271000*ln2*z2*z5 + 292075875*z3*z5 + 425273625*ln2*z7)/14112000, 
 H[-1, 0, 1, 0, 0, 1, -1, -1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    99792000*ln2^2*s6 + 16128000*ln2*s7a - 96768000*ln2*s7b + 41827275*s8a + 
    794304000*s8b - 118944000*s8c + 330624000*s8d - 
    169344000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    6115200*ln2^6*z2 - 767088000*s6*z2 + 243936000*li4half*z2^2 - 
    18060000*ln2^4*z2^2 - 85856400*ln2^2*z2^3 - 161221716*z2^4 - 
    562464000*li5half*z3 - 388080000*li4half*ln2*z3 - 11482800*ln2^5*z3 + 
    97776000*ln2^3*z2*z3 + 32394600*ln2*z2^2*z3 + 8001000*ln2^2*z3^2 + 
    37611000*z2*z3^2 + 109368000*ln2^3*z5 + 858060000*ln2*z2*z5 + 
    671871375*z3*z5 - 331663500*ln2*z7)/28224000, 
 H[-1, 0, 1, 0, 0, 0, 1, 1, 1] -> (8736000*ln2^2*s6 - 17472000*ln2*s7a + 
    1344000*ln2*s7b - 11677050*s8a - 102984000*s8b - 1344000*s8c - 
    17472000*s8d + 53760000*s6*z2 - 1612800*li4half*z2^2 - 67200*ln2^4*z2^2 - 
    3091200*ln2^2*z2^3 - 303588*z2^4 + 34944000*li5half*z3 - 
    291200*ln2^5*z3 + 2912000*ln2^3*z2*z3 + 12742800*ln2*z2^2*z3 - 
    10920000*ln2^2*z3^2 - 2226000*z2*z3^2 - 12152000*ln2^3*z5 + 
    4788000*ln2*z2*z5 - 7323750*z3*z5 + 13374375*ln2*z7)/4704000, 
 H[-1, 0, 1, 0, 0, 0, 1, 0, 1] -> (71925*s8a + 201600*s8b - 67200*s6*z2 - 
    161280*li4half*z2^2 - 6720*ln2^4*z2^2 + 40320*ln2^2*z2^3 + 62491*z2^4 - 
    60480*ln2*z2^2*z3 + 34650*z2*z3^2 - 4200*ln2*z2*z5 - 49875*z3*z5 - 
    534450*ln2*z7)/33600, H[-1, 0, 1, 0, 0, 0, 1, -1, 1] -> 
  (-8601600*ln2^2*s6 + 3494400*ln2*s7a - 268800*ln2*s7b + 13196400*s8a + 
    62966400*s8b + 10214400*s8c + 4838400*s8d - 17203200*s6*z2 - 
    819840*li4half*z2^2 - 34160*ln2^4*z2^2 + 4522560*ln2^2*z2^3 + 
    1684518*z2^4 - 9676800*li5half*z3 + 6585600*li4half*ln2*z3 + 
    355040*ln2^5*z3 - 2452800*ln2^3*z2*z3 - 12880560*ln2*z2^2*z3 + 
    2931600*ln2^2*z3^2 - 10527300*z2*z3^2 + 2430400*ln2^3*z5 - 
    26546100*ln2*z2*z5 + 17499300*z3*z5 - 17610075*ln2*z7)/940800, 
 H[-1, 0, 1, 0, 0, 0, 0, 1, 1] -> (-82950*s8a + 840000*s8b - 1344000*s6*z2 + 
    537600*li4half*z2^2 + 22400*ln2^4*z2^2 - 134400*ln2^2*z2^3 - 
    216952*z2^4 + 201600*ln2*z2^2*z3 + 693000*z2*z3^2 + 1260000*ln2*z2*z5 - 
    1769250*z3*z5 + 1693125*ln2*z7)/336000, H[-1, 0, 1, 0, 0, 0, 0, 0, 1] -> 
  (-14175*s8a - 168000*s8b - 31963*z2^4 + 165375*z3*z5 + 165375*ln2*z7)/
   28000, H[-1, 0, 1, 0, 0, 0, 0, -1, 1] -> 
  (-193725*s8a - 3528000*s8b - 672000*s6*z2 + 470400*li4half*z2^2 + 
    19600*ln2^4*z2^2 - 117600*ln2^2*z2^3 - 860516*z2^4 + 176400*ln2*z2^2*z3 + 
    346500*z2*z3^2 + 1102500*ln2*z2*z5 + 1913625*z3*z5 + 8308125*ln2*z7)/
   336000, H[-1, 0, 1, 0, 0, 0, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    26208000*ln2^2*s6 + 36288000*ln2*s7a - 76608000*ln2*s7b - 1557675*s8a + 
    29232000*s8b - 12096000*s8c + 12096000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 80640000*s6*z2 - 8870400*li4half*z2^2 + 
    3158400*ln2^4*z2^2 - 35028000*ln2^2*z2^3 - 16004628*z2^4 - 
    24192000*li5half*z3 + 201600*ln2^5*z3 - 2016000*ln2^3*z2*z3 + 
    40433400*ln2*z2^2*z3 + 35154000*ln2^2*z3^2 + 26271000*z2*z3^2 + 
    109368000*ln2^3*z5 + 317110500*ln2*z2*z5 - 7812000*z3*z5 - 
    281539125*ln2*z7)/14112000, H[-1, 0, 1, 0, 0, 0, -1, 0, 1] -> 
  (113400*s8a + 336000*s6*z2 - 705600*li4half*z2^2 - 29400*ln2^4*z2^2 + 
    176400*ln2^2*z2^3 + 248434*z2^4 - 264600*ln2*z2^2*z3 - 173250*z2*z3^2 - 
    630000*ln2*z2*z5 + 795375*z3*z5 - 1661625*ln2*z7)/168000, 
 H[-1, 0, 1, 0, 0, 0, -1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    46368000*ln2^2*s6 - 36288000*ln2*s7a + 76608000*ln2*s7b - 120659175*s8a - 
    715680000*s8b - 76608000*s8c - 92736000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 + 270144000*s6*z2 - 60883200*li4half*z2^2 + 
    991200*ln2^4*z2^2 - 3326400*ln2^2*z2^3 + 10626912*z2^4 + 
    185472000*li5half*z3 + 98784000*li4half*ln2*z3 + 2570400*ln2^5*z3 - 
    9240000*ln2^3*z2*z3 + 56019600*ln2*z2^2*z3 - 14742000*ln2^2*z3^2 + 
    87003000*z2*z3^2 - 109368000*ln2^3*z5 + 1480500*ln2*z2*z5 - 
    235375875*z3*z5 + 477563625*ln2*z7)/14112000, 
 H[-1, 0, 1, 0, 0, -1, 1, 1, 1] -> 
  (98784000*li4half^2 + 8232000*li4half*ln2^4 + 171500*ln2^8 + 
    95760000*ln2^2*s6 - 69552000*ln2*s7a - 13104000*ln2*s7b - 68460525*s8a - 
    345492000*s8b - 73584000*s8c + 3024000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 + 39816000*s6*z2 - 33969600*li4half*z2^2 - 
    5825400*ln2^4*z2^2 - 32873400*ln2^2*z2^3 - 32905494*z2^4 - 
    6048000*li5half*z3 - 3528000*li4half*ln2*z3 - 96600*ln2^5*z3 + 
    24192000*ln2^3*z2*z3 + 75820500*ln2*z2^2*z3 - 31720500*ln2^2*z3^2 + 
    34240500*z2*z3^2 - 31899000*ln2^3*z5 + 290556000*ln2*z2*z5 + 
    95342625*z3*z5 - 23113125*ln2*z7)/14112000, 
 H[-1, 0, 1, 0, 0, -1, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    36288000*ln2^2*s6 - 36288000*ln2*s7a - 36288000*ln2*s7b + 97432650*s8a - 
    5040000*s8b + 145152000*s8c - 145152000*s8d + 56448000*li4half*ln2^2*z2 + 
    2352000*ln2^6*z2 + 297360000*s6*z2 - 10684800*li4half*z2^2 - 
    7501200*ln2^4*z2^2 + 17640000*ln2^2*z2^3 + 73955694*z2^4 + 
    290304000*li5half*z3 - 2419200*ln2^5*z3 + 24192000*ln2^3*z2*z3 - 
    27896400*ln2*z2^2*z3 - 65772000*ln2^2*z3^2 - 87696000*z2*z3^2 - 
    321804000*ln2*z2*z5 - 250621875*z3*z5 - 419099625*ln2*z7)/14112000, 
 H[-1, 0, 1, 0, 0, -1, 1, -1, 1] -> (-74928000*ln2^2*s6 + 30576000*ln2*s7a - 
    16464000*ln2*s7b + 92963850*s8a + 383040000*s8b + 88704000*s8c + 
    5376000*s8d - 28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 - 
    57792000*s6*z2 - 5510400*li4half*z2^2 + 6826400*ln2^4*z2^2 + 
    29005200*ln2^2*z2^3 + 19822356*z2^4 - 10752000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 2147600*ln2^5*z3 - 29120000*ln2^3*z2*z3 - 
    75182100*ln2*z2^2*z3 + 25746000*ln2^2*z3^2 - 81816000*z2*z3^2 + 
    37975000*ln2^3*z5 - 201211500*ln2*z2*z5 + 64344000*z3*z5 - 
    153192375*ln2*z7)/4704000, H[-1, 0, 1, 0, 0, -1, 0, 1, 1] -> 
  (-12096000*ln2^2*s6 + 24192000*ln2*s7a + 24192000*ln2*s7b - 18403350*s8a + 
    56112000*s8b - 24192000*s8c + 24192000*s8d - 71904000*s6*z2 + 
    6249600*li4half*z2^2 + 260400*ln2^4*z2^2 + 3276000*ln2^2*z2^3 - 
    2188486*z2^4 - 48384000*li5half*z3 + 403200*ln2^5*z3 - 
    4032000*ln2^3*z2*z3 - 7975800*ln2*z2^2*z3 + 15120000*ln2^2*z3^2 + 
    34902000*z2*z3^2 + 4599000*ln2*z2*z5 - 39199125*z3*z5 + 120676500*ln2*z7)/
   4704000, H[-1, 0, 1, 0, 0, -1, 0, 0, 1] -> 
  (-137025*s8a - 1176000*s8b + 470400*li4half*z2^2 + 19600*ln2^4*z2^2 - 
    117600*ln2^2*z2^3 - 366384*z2^4 + 365400*ln2*z2^2*z3 - 157500*z2*z3^2 + 
    630000*ln2*z2*z5 + 866250*z3*z5 + 1997625*ln2*z7)/112000, 
 H[-1, 0, 1, 0, 0, -1, 0, -1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    11289600*ln2^2*s6 - 14515200*ln2*s7a - 14515200*ln2*s7b + 2891700*s8a - 
    41932800*s8b + 6451200*s8c - 6451200*s8d + 11289600*li4half*ln2^2*z2 + 
    470400*ln2^6*z2 + 5846400*s6*z2 + 17055360*li4half*z2^2 - 
    700560*ln2^4*z2^2 - 6965280*ln2^2*z2^3 - 9383826*z2^4 + 
    12902400*li5half*z3 - 39513600*li4half*ln2*z3 - 1753920*ln2^5*z3 + 
    10953600*ln2^3*z2*z3 + 20144880*ln2*z2^2*z3 - 19051200*ln2^2*z3^2 - 
    781200*z2*z3^2 + 40572000*ln2*z2*z5 + 16047675*z3*z5 - 13598550*ln2*z7)/
   2822400, H[-1, 0, 1, 0, 0, -1, -1, 1, 1] -> 
  (10080000*ln2^2*s6 + 1344000*ln2*s7a - 2184000*ln2*s7b - 16362150*s8a - 
    49056000*s8b - 5208000*s8c - 13608000*s8d + 27804000*s6*z2 - 
    1075200*li4half*z2^2 - 44800*ln2^4*z2^2 - 6264300*ln2^2*z2^3 + 
    7668891*z2^4 + 27216000*li5half*z3 - 4704000*li4half*ln2*z3 - 
    422800*ln2^5*z3 + 1239000*ln2^3*z2*z3 + 16987950*ln2*z2^2*z3 - 
    6168750*ln2^2*z3^2 + 16805250*z2*z3^2 + 1519000*ln2^3*z5 + 
    16637250*ln2*z2*z5 - 79576875*z3*z5 - 20545875*ln2*z7)/2352000, 
 H[-1, 0, 1, 0, 0, -1, -1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 
    8064000*ln2*s7a + 8064000*ln2*s7b - 5266800*s8a - 16128000*s8b - 
    16128000*s8c + 16128000*s8d - 8064000*li4half*ln2^2*z2 - 
    336000*ln2^6*z2 - 27216000*s6*z2 - 8467200*li4half*z2^2 + 
    655200*ln2^4*z2^2 + 3931200*ln2^2*z2^3 - 9431958*z2^4 - 
    32256000*li5half*z3 + 14112000*li4half*ln2*z3 + 856800*ln2^5*z3 - 
    6216000*ln2^3*z2*z3 - 7887600*ln2*z2^2*z3 + 12348000*ln2^2*z3^2 + 
    4441500*z2*z3^2 + 22711500*ln2*z2*z5 + 59763375*z3*z5 + 72820125*ln2*z7)/
   2016000, H[-1, 0, 1, 0, 0, -1, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    17136000*ln2^2*s6 - 6451200*ln2*s7a + 35884800*ln2*s7b - 54061875*s8a - 
    283046400*s8b - 49593600*s8c - 6854400*s8d + 16934400*li5half*ln2*z2 + 
    2822400*li4half*ln2^2*z2 - 23520*ln2^6*z2 + 41932800*s6*z2 - 
    21692160*li4half*z2^2 - 1962240*ln2^4*z2^2 + 1653120*ln2^2*z2^3 - 
    14746248*z2^4 + 3830400*li5half*z3 + 29635200*li4half*ln2*z3 + 
    1202880*ln2^5*z3 + 319200*ln2^3*z2*z3 + 7219800*ln2*z2^2*z3 + 
    8215200*ln2^2*z3^2 + 47646900*z2*z3^2 - 36456000*ln2^3*z5 + 
    34902000*ln2*z2*z5 + 4209975*z3*z5 + 315371700*ln2*z7)/5644800, 
 H[-1, 0, 1, 0, -1, 1, 1, 1, 1] -> 
  (70560000*li4half^2 - 225792000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 146300*ln2^8 - 
    12600000*ln2^2*s6 + 6048000*ln2*s7a - 78624000*ln2*s7b + 48114675*s8a - 
    64008000*s8b + 76608000*s8c - 76608000*s8d + 56448000*li6half*z2 + 
    225792000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 98000*ln2^6*z2 + 
    121464000*s6*z2 - 4737600*li4half*z2^2 - 2020200*ln2^4*z2^2 - 
    13557600*ln2^2*z2^3 - 8908272*z2^4 - 51408000*li5half*z3 + 
    10584000*li4half*ln2*z3 + 869400*ln2^5*z3 - 2520000*ln2^3*z2*z3 - 
    25452000*ln2*z2^2*z3 + 10347750*ln2^2*z3^2 - 47202750*z2*z3^2 + 
    111646500*ln2^3*z5 - 75820500*ln2*z2*z5 + 110352375*z3*z5 - 
    27712125*ln2*z7)/28224000, H[-1, 0, 1, 0, -1, 1, 1, 0, 1] -> 
  (32256000*li4half^2 + 2688000*li4half*ln2^4 + 56000*ln2^8 - 
    29952000*ln2^2*s6 + 17856000*ln2*s7a + 1728000*ln2*s7b + 37757475*s8a + 
    187992000*s8b + 24192000*s8c + 24192000*s8d - 24192000*li5half*ln2*z2 - 
    24192000*li4half*ln2^2*z2 - 806400*ln2^6*z2 - 69552000*s6*z2 - 
    27619200*li4half*z2^2 + 865200*ln2^4*z2^2 + 10411200*ln2^2*z2^3 + 
    4417176*z2^4 - 22176000*li5half*z3 + 40320000*li4half*ln2*z3 + 
    1864800*ln2^5*z3 - 11928000*ln2^3*z2*z3 - 42429600*ln2*z2^2*z3 + 
    18918000*ln2^2*z3^2 - 28964250*z2*z3^2 + 15624000*ln2^3*z5 - 
    58216500*ln2*z2*z5 + 60369750*z3*z5 + 7044750*ln2*z7)/4032000, 
 H[-1, 0, 1, 0, -1, 1, 1, -1, 1] -> 
  (451584000*li4half^2 + 2257920000*li8half + 451584000*li7half*ln2 + 
    37632000*li5half*ln2^3 + 56448000*li4half*ln2^4 + 1220800*ln2^8 - 
    160272000*ln2^2*s6 + 100800000*ln2*s7a + 467712000*ln2*s7b + 
    264226725*s8a + 2440872000*s8b + 118944000*s8c + 191520000*s8d + 
    28224000*li5half*ln2*z2 - 1489600*ln2^6*z2 - 538272000*s6*z2 - 
    334252800*li4half*z2^2 - 39799200*ln2^4*z2^2 + 103471200*ln2^2*z2^3 - 
    56192544*z2^4 - 390096000*li5half*z3 + 762048000*li4half*ln2*z3 + 
    35002800*ln2^5*z3 - 196560000*ln2^3*z2*z3 - 662067000*ln2*z2^2*z3 + 
    109273500*ln2^2*z3^2 - 153814500*z2*z3^2 - 414687000*ln2^3*z5 - 
    1730295000*ln2*z2*z5 - 320945625*z3*z5 + 1882266750*ln2*z7)/56448000, 
 H[-1, 0, 1, 0, -1, 1, 0, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    120960000*ln2^2*s6 + 225792000*ln2*s7b - 387558675*s8a - 1069992000*s8b - 
    354816000*s8c + 16128000*s8d - 225792000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 470400*ln2^6*z2 + 193536000*s6*z2 + 
    110476800*li4half*z2^2 + 6955200*ln2^4*z2^2 - 82857600*ln2^2*z2^3 - 
    17200908*z2^4 + 108864000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    3259200*ln2^5*z3 + 23184000*ln2^3*z2*z3 + 222201000*ln2*z2^2*z3 - 
    9198000*ln2^2*z3^2 + 321457500*z2*z3^2 - 218736000*ln2^3*z5 + 
    412650000*ln2*z2*z5 - 663004125*z3*z5 + 999085500*ln2*z7)/28224000, 
 H[-1, 0, 1, 0, -1, 1, 0, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    5184000*ln2^2*s6 - 5184000*ln2*s7a - 5184000*ln2*s7b - 737100*s8a - 
    14112000*s8b + 8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 - 
    4032000*s6*z2 + 17942400*li4half*z2^2 - 260400*ln2^4*z2^2 - 
    6688800*ln2^2*z2^3 - 7402206*z2^4 - 12096000*li5half*z3 - 
    24192000*li4half*ln2*z3 - 907200*ln2^5*z3 + 5040000*ln2^3*z2*z3 + 
    13888800*ln2*z2^2*z3 - 6480000*ln2^2*z3^2 + 283500*z2*z3^2 + 
    26001000*ln2*z2*z5 + 18451125*z3*z5 - 3754125*ln2*z7)/2016000, 
 H[-1, 0, 1, 0, -1, 1, 0, -1, 1] -> 
  (-64512000*li4half^2 - 5376000*li4half*ln2^4 - 112000*ln2^8 + 
    6336000*ln2^2*s6 - 18432000*ln2*s7a - 34560000*ln2*s7b + 35103600*s8a + 
    169344000*s8b + 24192000*s8c + 24192000*s8d - 56448000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 638400*ln2^6*z2 - 72576000*s6*z2 + 
    54028800*li4half*z2^2 + 571200*ln2^4*z2^2 - 17334000*ln2^2*z2^3 - 
    15262704*z2^4 - 16128000*li5half*z3 - 78624000*li4half*ln2*z3 - 
    3141600*ln2^5*z3 + 18312000*ln2^3*z2*z3 + 20721600*ln2*z2^2*z3 - 
    26442000*ln2^2*z3^2 - 27397125*z2*z3^2 + 15624000*ln2^3*z5 + 
    91566000*ln2*z2*z5 + 58503375*z3*z5 - 174237750*ln2*z7)/2016000, 
 H[-1, 0, 1, 0, -1, 1, -1, 1, 1] -> 
  (-451584000*li4half^2 - 2257920000*li8half + 1806336000*li7half*ln2 + 
    451584000*li6half*ln2^2 - 18816000*li4half*ln2^4 + 212800*ln2^8 - 
    472752000*ln2^2*s6 + 403200000*ln2*s7a - 612864000*ln2*s7b - 
    121569525*s8a - 2029608000*s8b + 364896000*s8c - 675360000*s8d - 
    451584000*li6half*z2 - 451584000*li5half*ln2*z2 - 
    225792000*li4half*ln2^2*z2 - 11289600*ln2^6*z2 + 1393056000*s6*z2 + 
    158457600*li4half*z2^2 + 141136800*ln2^4*z2^2 + 198324000*ln2^2*z2^3 + 
    519064416*z2^4 + 1632960000*li5half*z3 - 112896000*li4half*ln2*z3 - 
    18312000*ln2^5*z3 - 146160000*ln2^3*z2*z3 + 509355000*ln2*z2^2*z3 + 
    300762000*ln2^2*z3^2 - 17451000*z2*z3^2 + 984312000*ln2^3*z5 + 
    800856000*ln2*z2*z5 - 1547650125*z3*z5 - 5264784000*ln2*z7)/56448000, 
 H[-1, 0, 1, 0, -1, 1, -1, 0, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 + 
    39513600*ln2^2*s6 + 4032000*ln2*s7a + 26611200*ln2*s7b - 73656450*s8a - 
    274982400*s8b - 87091200*s8c + 19353600*s8d + 22579200*li5half*ln2*z2 - 
    5644800*li4half*ln2^2*z2 - 423360*ln2^6*z2 - 11894400*s6*z2 - 
    9394560*li4half*z2^2 + 1490160*ln2^4*z2^2 - 2706480*ln2^2*z2^3 - 
    25111452*z2^4 - 52819200*li5half*z3 + 440160*ln2^5*z3 - 
    4401600*ln2^3*z2*z3 + 31787280*ln2*z2^2*z3 + 17287200*ln2^2*z3^2 + 
    73686375*z2*z3^2 - 21873600*ln2^3*z5 + 173930400*ln2*z2*z5 + 
    23023350*z3*z5 + 194186475*ln2*z7)/2822400, 
 H[-1, 0, 1, 0, -1, 1, -1, -1, 1] -> 
  (-169344000*li4half^2 - 451584000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    18816000*li4half*ln2^4 - 518000*ln2^8 + 162792000*ln2^2*s6 - 
    100800000*ln2*s7a + 117936000*ln2*s7b - 95426100*s8a - 114912000*s8b - 
    187488000*s8c + 187488000*s8d - 148176000*li5half*ln2*z2 + 
    49392000*li4half*ln2^2*z2 + 4351200*ln2^6*z2 - 374976000*s6*z2 + 
    164505600*li4half*z2^2 - 21898800*ln2^4*z2^2 - 94323600*ln2^2*z2^3 - 
    135918756*z2^4 - 292068000*li5half*z3 - 238140000*li4half*ln2*z3 - 
    7488600*ln2^5*z3 + 76209000*ln2^3*z2*z3 + 48699000*ln2*z2^2*z3 - 
    93515625*ln2^2*z3^2 + 131685750*z2*z3^2 - 211900500*ln2^3*z5 + 
    411279750*ln2*z2*z5 + 347917500*z3*z5 + 1273639500*ln2*z7)/14112000, 
 H[-1, 0, 1, 0, -1, 0, 1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 + 20160000*ln2*s7a + 20160000*ln2*s7b - 48114675*s8a + 
    64008000*s8b - 76608000*s8c + 76608000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 153216000*s6*z2 + 29433600*li4half*z2^2 - 
    2301600*ln2^4*z2^2 - 1915200*ln2^2*z2^3 - 19674828*z2^4 + 
    72576000*li5half*z3 + 14112000*li4half*ln2*z3 - 16800*ln2^5*z3 + 
    2520000*ln2^3*z2*z3 + 64045800*ln2*z2^2*z3 + 20538000*ln2^2*z3^2 + 
    52384500*z2*z3^2 + 108864000*ln2*z2*z5 - 139017375*z3*z5 + 
    65724750*ln2*z7)/28224000, H[-1, 0, 1, 0, -1, 0, 1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 4069800*s8a + 8064000*s8c - 8064000*s8d - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 16128000*s6*z2 - 
    6753600*li4half*z2^2 + 222600*ln2^4*z2^2 + 1486800*ln2^2*z2^3 + 
    4707873*z2^4 + 6048000*li4half*ln2*z3 + 252000*ln2^5*z3 - 
    1512000*ln2^3*z2*z3 - 6237000*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 
    5638500*z2*z3^2 - 26208000*ln2*z2*z5 + 1323000*z3*z5 - 1984500*ln2*z7)/
   1008000, H[-1, 0, 1, 0, -1, 0, 1, -1, 1] -> 
  (32256000*li4half^2 + 2688000*li4half*ln2^4 + 56000*ln2^8 - 
    11808000*ln2^2*s6 + 3744000*ln2*s7a + 3744000*ln2*s7b + 8139600*s8a + 
    16128000*s8c - 16128000*s8d + 48384000*li5half*ln2*z2 + 
    8064000*li4half*ln2^2*z2 - 67200*ln2^6*z2 + 32256000*s6*z2 - 
    25804800*li4half*z2^2 - 1075200*ln2^4*z2^2 + 14090400*ln2^2*z2^3 + 
    11729376*z2^4 + 2016000*li5half*z3 + 26208000*li4half*ln2*z3 + 
    1075200*ln2^5*z3 - 6384000*ln2^3*z2*z3 - 17922600*ln2*z2^2*z3 + 
    2412000*ln2^2*z3^2 - 11749500*z2*z3^2 - 111231000*ln2*z2*z5 + 
    1535625*z3*z5 + 18613125*ln2*z7)/2016000, 
 H[-1, 0, 1, 0, -1, 0, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    46368000*ln2^2*s6 - 36288000*ln2*s7a - 36288000*ln2*s7b + 4650975*s8a - 
    122976000*s8b - 20160000*s8c + 20160000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 40320000*s6*z2 + 37900800*li4half*z2^2 - 
    1948800*ln2^4*z2^2 - 15321600*ln2^2*z2^3 - 43410204*z2^4 + 
    72576000*li5half*z3 - 42336000*li4half*ln2*z3 - 2368800*ln2^5*z3 + 
    16632000*ln2^3*z2*z3 + 52050600*ln2*z2^2*z3 - 14742000*ln2^2*z3^2 + 
    8284500*z2*z3^2 + 271152000*ln2*z2*z5 + 54471375*z3*z5 - 
    123519375*ln2*z7)/14112000, H[-1, 0, 1, 0, -1, 0, 0, 0, 1] -> 
  (8775*s8a + 168000*s8b - 33600*li4half*z2^2 - 1400*ln2^4*z2^2 + 
    8400*ln2^2*z2^3 + 39654*z2^4 - 43200*ln2*z2^2*z3 + 13500*z2*z3^2 - 
    90000*ln2*z2*z5 - 93375*z3*z5 - 240000*ln2*z7)/24000, 
 H[-1, 0, 1, 0, -1, 0, 0, -1, 1] -> (12096000*ln2*s7a + 12096000*ln2*s7b - 
    11876550*s8a + 25536000*s8b - 24192000*s8c + 24192000*s8d - 
    48384000*s6*z2 + 2486400*li4half*z2^2 + 103600*ln2^4*z2^2 + 
    2100000*ln2^2*z2^3 - 6234738*z2^4 - 20160000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 756000*ln2^5*z3 - 5208000*ln2^3*z2*z3 - 
    5115600*ln2*z2^2*z3 + 18522000*ln2^2*z3^2 + 17703000*z2*z3^2 + 
    38293500*ln2*z2*z5 - 4654125*z3*z5 + 41173125*ln2*z7)/4704000, 
 H[-1, 0, 1, 0, -1, 0, -1, 1, 1] -> 
  (1290240*ln2^2*s6 + 268800*ln2*s7a + 268800*ln2*s7b - 1235220*s8a - 
    1370880*s8b - 3118080*s8c + 3118080*s8d - 2257920*li5half*ln2*z2 + 
    18816*ln2^6*z2 - 6236160*s6*z2 + 623616*li4half*z2^2 - 
    162176*ln2^4*z2^2 - 720384*ln2^2*z2^3 - 1916592*z2^4 - 
    3790080*li5half*z3 + 31584*ln2^5*z3 + 672000*ln2^3*z2*z3 + 
    577920*ln2*z2^2*z3 + 1062600*ln2^2*z3^2 + 1738800*z2*z3^2 + 
    12057360*ln2*z2*z5 + 5768175*z3*z5 + 3521595*ln2*z7)/188160, 
 H[-1, 0, 1, 0, -1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    4032000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b + 11299050*s8a + 
    8064000*s8b + 24192000*s8c - 24192000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 48384000*s6*z2 + 302400*li4half*z2^2 - 
    491400*ln2^4*z2^2 - 2091600*ln2^2*z2^3 + 12851613*z2^4 + 
    36288000*li5half*z3 - 6048000*li4half*ln2*z3 - 554400*ln2^5*z3 + 
    4536000*ln2^3*z2*z3 + 1978200*ln2*z2^2*z3 - 13482000*ln2^2*z3^2 - 
    15246000*z2*z3^2 - 54684000*ln2*z2*z5 - 43170750*z3*z5 - 68276250*ln2*z7)/
   1008000, H[-1, 0, 1, 0, -1, 0, -1, -1, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    38304000*ln2^2*s6 - 225792000*ln2*s7a - 225792000*ln2*s7b + 
    190852200*s8a + 229824000*s8b + 374976000*s8c - 374976000*s8d - 
    169344000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 
    749952000*s6*z2 + 83059200*li4half*z2^2 + 17572800*ln2^4*z2^2 - 
    69652800*ln2^2*z2^3 + 196761672*z2^4 + 876960000*li5half*z3 - 
    183456000*li4half*ln2*z3 - 14952000*ln2^5*z3 + 44856000*ln2^3*z2*z3 + 
    267145200*ln2*z2^2*z3 - 319536000*ln2^2*z3^2 - 266679000*z2*z3^2 - 
    409846500*ln2*z2*z5 - 982209375*z3*z5 - 2006219250*ln2*z7)/28224000, 
 H[-1, 0, 1, 0, -1, -1, 1, 1, 1] -> 
  (1128960000*li8half - 451584000*li7half*ln2 + 112896000*li6half*ln2^2 + 
    112896000*li5half*ln2^3 + 9408000*li4half*ln2^4 - 274400*ln2^8 + 
    439488000*ln2^2*s6 - 155232000*ln2*s7a + 141120000*ln2*s7b - 
    325595025*s8a - 647640000*s8b - 385056000*s8c + 74592000*s8d - 
    112896000*li6half*z2 + 112896000*li5half*ln2*z2 + 940800*ln2^6*z2 - 
    85680000*s6*z2 + 26208000*li4half*z2^2 - 26191200*ln2^4*z2^2 - 
    194342400*ln2^2*z2^3 - 151930584*z2^4 + 161280000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 2520000*ln2^5*z3 + 64596000*ln2^3*z2*z3 + 
    304605000*ln2*z2^2*z3 - 144963000*ln2^2*z3^2 + 335979000*z2*z3^2 - 
    369117000*ln2^3*z5 + 658161000*ln2*z2*z5 - 726854625*z3*z5 + 
    1199079000*ln2*z7)/56448000, H[-1, 0, 1, 0, -1, -1, 1, 0, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 - 
    29030400*ln2^2*s6 + 5241600*ln2*s7a - 6048000*ln2*s7b + 41672925*s8a + 
    132451200*s8b + 47577600*s8c - 13708800*s8d + 16934400*li6half*z2 + 
    5644800*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 - 376320*ln2^6*z2 + 
    20361600*s6*z2 - 19817280*li4half*z2^2 - 2520*ln2^4*z2^2 + 
    9434880*ln2^2*z2^3 + 14247438*z2^4 + 604800*li5half*z3 + 
    26812800*li4half*ln2*z3 + 1112160*ln2^5*z3 - 6652800*ln2^3*z2*z3 - 
    37681560*ln2*z2^2*z3 - 138600*ln2^2*z3^2 - 43643250*z2*z3^2 + 
    10936800*ln2^3*z5 - 134448300*ln2*z2*z5 + 25255125*z3*z5 - 
    45934875*ln2*z7)/2822400, H[-1, 0, 1, 0, -1, -1, 1, -1, 1] -> 
  (338688000*li4half^2 - 1693440000*li8half + 225792000*li7half*ln2 - 
    56448000*li5half*ln2^3 + 23520000*li4half*ln2^4 + 775600*ln2^8 - 
    155232000*ln2^2*s6 + 164304000*ln2*s7a - 82656000*ln2*s7b - 
    256534425*s8a - 2559816000*s8b - 18144000*s8c - 447552000*s8d + 
    296352000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 5644800*ln2^6*z2 + 
    1127952000*s6*z2 - 343526400*li4half*z2^2 + 29080800*ln2^4*z2^2 + 
    174081600*ln2^2*z2^3 + 275770872*z2^4 + 743400000*li5half*z3 + 
    448056000*li4half*ln2*z3 + 12474000*ln2^5*z3 - 89754000*ln2^3*z2*z3 + 
    140943600*ln2*z2^2*z3 + 207931500*ln2^2*z3^2 + 104895000*z2*z3^2 + 
    280255500*ln2^3*z5 - 29106000*ln2*z2*z5 - 396986625*z3*z5 - 
    820401750*ln2*z7)/28224000, H[-1, 0, 1, 0, -1, -1, 0, 1, 1] -> 
  (-840000*ln2^2*s6 + 1680000*ln2*s7a + 1680000*ln2*s7b - 1114575*s8a + 
    2688000*s8b - 1680000*s8c + 1680000*s8d + 28224000*li6half*z2 + 
    18816000*li5half*ln2*z2 + 4704000*li4half*ln2^2*z2 + 78400*ln2^6*z2 + 
    7224000*s6*z2 + 1041600*li4half*z2^2 - 152600*ln2^4*z2^2 + 
    75600*ln2^2*z2^3 - 4331412*z2^4 - 15120000*li5half*z3 - 
    5880000*li4half*ln2*z3 - 119000*ln2^5*z3 + 210000*ln2^3*z2*z3 - 
    3328500*ln2*z2^2*z3 + 1050000*ln2^2*z3^2 - 1330875*z2*z3^2 - 
    12831000*ln2*z2*z5 + 7447125*z3*z5 + 12101250*ln2*z7)/2352000, 
 H[-1, 0, 1, 0, -1, -1, 0, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 4564350*s8a - 5040000*s8b - 8064000*s8c + 
    8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 - 
    16128000*s6*z2 + 7660800*li4half*z2^2 - 184800*ln2^4*z2^2 - 
    1713600*ln2^2*z2^3 - 5928306*z2^4 - 4032000*li5half*z3 - 
    8064000*li4half*ln2*z3 - 302400*ln2^5*z3 + 1680000*ln2^3*z2*z3 + 
    6967800*ln2*z2^2*z3 + 1134000*ln2^2*z3^2 + 5071500*z2*z3^2 + 
    27090000*ln2*z2*z5 + 7560000*z3*z5 + 8449875*ln2*z7)/2016000, 
 H[-1, 0, 1, 0, -1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 6720000*ln2*s7a - 6720000*ln2*s7b - 22298850*s8a - 
    49728000*s8b - 43008000*s8c + 43008000*s8d + 56448000*li6half*z2 + 
    37632000*li5half*ln2*z2 + 37632000*li4half*ln2^2*z2 + 1332800*ln2^6*z2 - 
    64848000*s6*z2 + 53760000*li4half*z2^2 - 1680000*ln2^4*z2^2 - 
    13540800*ln2^2*z2^3 - 46601736*z2^4 - 104832000*li5half*z3 - 
    108192000*li4half*ln2*z3 - 3634400*ln2^5*z3 + 18312000*ln2^3*z2*z3 + 
    19874400*ln2*z2^2*z3 - 2352000*ln2^2*z3^2 + 27699000*z2*z3^2 + 
    152806500*ln2*z2*z5 + 120700125*z3*z5 + 72943500*ln2*z7)/9408000, 
 H[-1, 0, 1, 0, -1, -1, -1, 1, 1] -> 
  (1128960000*li8half - 903168000*li7half*ln2 - 451584000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 184800*ln2^8 + 
    112896000*ln2^2*s6 - 167328000*ln2*s7a + 284256000*ln2*s7b + 
    24106950*s8a + 1303344000*s8b - 201600000*s8c + 399168000*s8d + 
    451584000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 4155200*ln2^6*z2 - 741888000*s6*z2 + 
    99590400*li4half*z2^2 - 36540000*ln2^4*z2^2 - 139356000*ln2^2*z2^3 - 
    294323688*z2^4 - 812448000*li5half*z3 - 141120000*li4half*ln2*z3 + 
    890400*ln2^5*z3 + 76944000*ln2^3*z2*z3 - 174283200*ln2*z2^2*z3 - 
    121054500*ln2^2*z3^2 + 35437500*z2*z3^2 - 373674000*ln2^3*z5 - 
    198450000*ln2*z2*z5 + 469964250*z3*z5 + 2465985375*ln2*z7)/56448000, 
 H[-1, 0, 1, 0, -1, -1, -1, 0, 1] -> 
  (-1152000*li4half^2 - 96000*li4half*ln2^4 - 2000*ln2^8 - 576000*ln2^2*s6 - 
    1152000*ln2*s7a - 1152000*ln2*s7b + 1775925*s8a + 504000*s8b + 
    3456000*s8c - 3456000*s8d - 3456000*li6half*z2 - 2304000*li5half*ln2*z2 + 
    14400*ln2^6*z2 + 5616000*s6*z2 - 86400*li4half*z2^2 - 51600*ln2^4*z2^2 - 
    266400*ln2^2*z2^3 + 2159328*z2^4 + 7488000*li5half*z3 + 
    288000*li4half*ln2*z3 - 50400*ln2^5*z3 + 552000*ln2^3*z2*z3 + 
    748800*ln2*z2^2*z3 - 1926000*ln2^2*z3^2 - 2029500*z2*z3^2 - 
    6093000*ln2*z2*z5 - 6753375*z3*z5 - 9462375*ln2*z7)/576000, 
 H[-1, 0, 1, 0, -1, -1, -1, -1, 1] -> 
  (-197568000*li4half^2 + 1128960000*li8half + 903168000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 75264000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 259000*ln2^8 - 39312000*ln2^2*s6 - 
    6048000*ln2*s7a - 316512000*ln2*s7b + 365370075*s8a + 1932840000*s8b + 
    344736000*s8c + 22176000*s8d - 84672000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1136800*ln2^6*z2 - 227808000*s6*z2 + 
    151200000*li4half*z2^2 + 8064000*ln2^4*z2^2 - 28425600*ln2^2*z2^3 - 
    32610888*z2^4 + 5040000*li5half*z3 - 246960000*li4half*ln2*z3 - 
    10332000*ln2^5*z3 + 25116000*ln2^3*z2*z3 - 8479800*ln2*z2^2*z3 - 
    80514000*ln2^2*z3^2 - 312574500*z2*z3^2 + 236964000*ln2^3*z5 - 
    14490000*ln2*z2*z5 - 163288125*z3*z5 - 2585212875*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, 1, 1, 1, 1, 1] -> 
  (1580544000*li8half - 620928000*li7half*ln2 + 28224000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 170800*ln2^8 - 
    71568000*ln2^2*s6 - 16128000*ln2*s7a - 30240000*ln2*s7b + 344378475*s8a + 
    2109240000*s8b + 316512000*s8c + 50400000*s8d - 28224000*li6half*z2 + 
    254016000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1411200*ln2^6*z2 - 
    354816000*s6*z2 + 31248000*li4half*z2^2 - 19689600*ln2^4*z2^2 - 
    99288000*ln2^2*z2^3 - 83670624*z2^4 - 227808000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 4015200*ln2^5*z3 - 36624000*ln2^3*z2*z3 - 
    272827800*ln2*z2^2*z3 - 69520500*ln2^2*z3^2 - 289642500*z2*z3^2 + 
    82026000*ln2^3*z5 - 1065330000*ln2*z2*z5 + 97673625*z3*z5 + 
    689920875*ln2*z7)/56448000, H[-1, 0, 1, -1, 1, 1, 1, 0, 1] -> 
  (254016000*li4half^2 - 9031680000*li8half - 903168000*li7half*ln2 + 
    21168000*li4half*ln2^4 + 396200*ln2^8 + 590688000*ln2^2*s6 + 
    82656000*ln2*s7a + 167328000*ln2*s7b - 2029715100*s8a - 13917456000*s8b - 
    1346688000*s8c - 1165248000*s8d + 282240000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 254016000*li4half*ln2^2*z2 - 6977600*ln2^6*z2 + 
    3664080000*s6*z2 - 450374400*li4half*z2^2 + 48384000*ln2^4*z2^2 + 
    115063200*ln2^2*z2^3 + 634003344*z2^4 + 2344608000*li5half*z3 + 
    268128000*li4half*ln2*z3 - 8366400*ln2^5*z3 + 56028000*ln2^3*z2*z3 + 
    1442548800*ln2*z2^2*z3 + 218610000*ln2^2*z3^2 + 1532601000*z2*z3^2 - 
    82026000*ln2^3*z5 + 3749193000*ln2*z2*z5 - 1110816000*z3*z5 + 
    1326835125*ln2*z7)/56448000, H[-1, 0, 1, -1, 1, 1, 1, -1, 1] -> 
  (9031680*li4half^2 - 110638080*li8half + 20321280*li7half*ln2 - 
    376320*li5half*ln2^3 + 1034880*li4half*ln2^4 + 23800*ln2^8 + 
    4556160*ln2^2*s6 + 9112320*ln2*s7a + 8547840*ln2*s7b - 35011935*s8a - 
    183153600*s8b - 27336960*s8c - 11612160*s8d + 1128960*li5half*ln2*z2 + 
    564480*li4half*ln2^2*z2 - 95648*ln2^6*z2 + 42698880*s6*z2 - 
    9491328*li4half*z2^2 + 418320*ln2^4*z2^2 + 6493536*ln2^2*z2^3 + 
    10376496*z2^4 + 23224320*li5half*z3 + 13265280*li4half*ln2*z3 + 
    309792*ln2^5*z3 - 887040*ln2^3*z2*z3 + 16289784*ln2*z2^2*z3 + 
    12641580*ln2^2*z3^2 + 29843100*z2*z3^2 - 2187360*ln2^3*z5 + 
    62511120*ln2*z2*z5 - 33573015*z3*z5 - 18668790*ln2*z7)/2257920, 
 H[-1, 0, 1, -1, 1, 1, 0, 1, 1] -> (42336000*li4half^2 + 2257920000*li8half + 
    903168000*li7half*ln2 + 112896000*li6half*ln2^2 + 3528000*li4half*ln2^4 + 
    107100*ln2^8 - 358344000*ln2^2*s6 + 156240000*ln2*s7a - 
    165984000*ln2*s7b + 752210550*s8a + 4919040000*s8b + 453600000*s8c + 
    534240000*s8d + 56448000*li6half*z2 - 65856000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 764400*ln2^6*z2 - 1521240000*s6*z2 + 
    80740800*li4half*z2^2 - 5945800*ln2^4*z2^2 + 66460800*ln2^2*z2^3 - 
    199578312*z2^4 - 1027320000*li5half*z3 + 38808000*li4half*ln2*z3 + 
    10178000*ln2^5*z3 - 50624000*ln2^3*z2*z3 - 577554600*ln2*z2^2*z3 + 
    136143000*ln2^2*z3^2 - 563787000*z2*z3^2 + 312154500*ln2^3*z5 - 
    798178500*ln2*z2*z5 + 862134000*z3*z5 - 1628757375*ln2*z7)/9408000, 
 H[-1, 0, 1, -1, 1, 1, 0, 0, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 + 
    3600000*ln2^2*s6 - 844800*ln2*s7a + 902400*ln2*s7b - 7907025*s8a - 
    41563200*s8b - 5510400*s8c - 4972800*s8d + 1612800*li6half*z2 - 
    537600*li5half*ln2*z2 + 6720*ln2^6*z2 + 15456000*s6*z2 + 
    483840*li4half*z2^2 + 344960*ln2^4*z2^2 - 2448960*ln2^2*z2^3 - 
    362868*z2^4 + 9273600*li5half*z3 - 1881600*li4half*ln2*z3 - 
    155680*ln2^5*z3 + 840000*ln2^3*z2*z3 + 7304760*ln2*z2^2*z3 - 
    633900*ln2^2*z3^2 + 6102600*z2*z3^2 - 1692600*ln2^3*z5 + 
    14460000*ln2*z2*z5 - 14924700*z3*z5 + 6634500*ln2*z7)/268800, 
 H[-1, 0, 1, -1, 1, 1, 0, -1, 1] -> (-6451200*li4half^2 - 258048000*li8half - 
    51609600*li7half*ln2 - 537600*li4half*ln2^4 - 7360*ln2^8 + 
    53942400*ln2^2*s6 - 14227200*ln2*s7a + 12787200*ln2*s7b - 109810575*s8a - 
    662558400*s8b - 79430400*s8c - 56851200*s8d + 4838400*li6half*z2 - 
    5376000*li5half*ln2*z2 + 403200*li4half*ln2^2*z2 + 32480*ln2^6*z2 + 
    183724800*s6*z2 - 6451200*li4half*z2^2 + 398720*ln2^4*z2^2 - 
    13776000*ln2^2*z2^3 + 12150432*z2^4 + 116860800*li5half*z3 - 
    7862400*li4half*ln2*z3 - 1301440*ln2^5*z3 + 12325600*ln2^3*z2*z3 + 
    86663160*ln2*z2^2*z3 - 6173100*ln2^2*z3^2 + 83897100*z2*z3^2 - 
    26170200*ln2^3*z5 + 206848200*ln2*z2*z5 - 98967225*z3*z5 + 
    122720550*ln2*z7)/537600, H[-1, 0, 1, -1, 1, 1, -1, 1, 1] -> 
  (508032000*li8half + 112896000*li7half*ln2 - 56448000*li6half*ln2^2 + 
    2352000*li4half*ln2^4 + 9800*ln2^8 - 97104000*ln2^2*s6 - 
    8064000*ln2*s7a - 55104000*ln2*s7b + 207753525*s8a + 1037736000*s8b + 
    163296000*s8c + 48384000*s8d + 56448000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 179088000*s6*z2 + 
    2620800*li4half*z2^2 + 3637200*ln2^4*z2^2 + 19336800*ln2^2*z2^3 - 
    29727696*z2^4 - 96768000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    2452800*ln2^5*z3 - 16296000*ln2^3*z2*z3 - 121585800*ln2*z2^2*z3 - 
    2614500*ln2^2*z3^2 - 187960500*z2*z3^2 + 45570000*ln2^3*z5 - 
    326550000*ln2*z2*z5 + 148294125*z3*z5 - 405557250*ln2*z7)/18816000, 
 H[-1, 0, 1, -1, 1, 1, -1, 0, 1] -> 
  (22579200*li4half^2 + 1354752000*li8half + 135475200*li7half*ln2 + 
    1881600*li4half*ln2^4 + 45920*ln2^8 - 141321600*ln2^2*s6 + 
    59673600*ln2*s7a + 37094400*ln2*s7b + 315291375*s8a + 2375553600*s8b + 
    163296000*s8c + 276998400*s8d - 67737600*li6half*z2 - 
    11289600*li5half*ln2*z2 - 36691200*li4half*ln2^2*z2 - 1905120*ln2^6*z2 - 
    812246400*s6*z2 + 43827840*li4half*z2^2 + 7306320*ln2^4*z2^2 + 
    20301120*ln2^2*z2^3 - 111394008*z2^4 - 546940800*li5half*z3 - 
    2822400*li4half*ln2*z3 + 4440240*ln2^5*z3 - 74860800*ln2^3*z2*z3 - 
    296727480*ln2*z2^2*z3 + 27549900*ln2^2*z3^2 - 194840100*z2*z3^2 + 
    21873600*ln2^3*z5 - 592326000*ln2*z2*z5 + 299733525*z3*z5 + 
    191983050*ln2*z7)/11289600, H[-1, 0, 1, -1, 1, 1, -1, -1, 1] -> 
  (225792000*li8half - 451584000*li7half*ln2 + 84672000*li6half*ln2^2 - 
    7056000*li4half*ln2^4 - 81200*ln2^8 + 91728000*ln2^2*s6 - 
    8064000*ln2*s7a + 203616000*ln2*s7b - 19131525*s8a + 272664000*s8b - 
    195552000*s8c + 379008000*s8d - 84672000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1136800*ln2^6*z2 - 849744000*s6*z2 + 
    75801600*li4half*z2^2 - 34591200*ln2^4*z2^2 - 57103200*ln2^2*z2^3 - 
    260873784*z2^4 - 715680000*li5half*z3 - 21168000*li4half*ln2*z3 + 
    6316800*ln2^5*z3 + 39144000*ln2^3*z2*z3 - 212121000*ln2*z2^2*z3 + 
    50494500*ln2^2*z3^2 + 88672500*z2*z3^2 - 205065000*ln2^3*z5 + 
    142002000*ln2*z2*z5 + 1136197125*z3*z5 + 2703952125*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, 1, 0, 1, 1, 1] -> 
  (-254016000*li4half^2 - 9031680000*li8half - 5419008000*li7half*ln2 - 
    1354752000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 217000*ln2^8 + 1358784000*ln2^2*s6 - 
    1227744000*ln2*s7a + 1735776000*ln2*s7b - 2804725350*s8a - 
    17919216000*s8b - 1729728000*s8c - 1798272000*s8d + 
    1354752000*li6half*z2 - 127008000*li4half*ln2^2*z2 - 4037600*ln2^6*z2 + 
    6094368000*s6*z2 - 143740800*li4half*z2^2 + 13414800*ln2^4*z2^2 - 
    342720000*ln2^2*z2^3 + 588472344*z2^4 + 3709440000*li5half*z3 - 
    296352000*li4half*ln2*z3 - 43260000*ln2^5*z3 + 150360000*ln2^3*z2*z3 + 
    1887580800*ln2*z2^2*z3 - 1219995000*ln2^2*z3^2 + 1918665000*z2*z3^2 - 
    2797998000*ln2^3*z5 - 47250000*ln2*z2*z5 - 3470292000*z3*z5 + 
    13184521875*ln2*z7)/56448000, H[-1, 0, 1, -1, 1, 0, 1, 0, 1] -> 
  (53760000*ln2^2*s6 - 30912000*ln2*s7a + 6720000*ln2*s7b - 83836200*s8a - 
    465024000*s8b - 45696000*s8c - 67200000*s8d - 112896000*li6half*z2 + 
    28224000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 + 141456000*s6*z2 - 
    15792000*li4half*z2^2 - 5362000*ln2^4*z2^2 - 7350000*ln2^2*z2^3 + 
    22226608*z2^4 + 82656000*li5half*z3 + 2352000*li4half*ln2*z3 - 
    590800*ln2^5*z3 + 20412000*ln2^3*z2*z3 + 54690300*ln2*z2^2*z3 - 
    19866000*ln2^2*z3^2 + 64921500*z2*z3^2 - 36456000*ln2^3*z5 + 
    101031000*ln2*z2*z5 - 102246375*z3*z5 + 49489125*ln2*z7)/4704000, 
 H[-1, 0, 1, -1, 1, 0, 1, -1, 1] -> 
  (451584000*li4half^2 + 36126720000*li8half + 5419008000*li7half*ln2 + 
    150528000*li5half*ln2^3 + 37632000*li4half*ln2^4 - 649600*ln2^8 - 
    7320096000*ln2^2*s6 + 1272096000*ln2*s7a - 2143008000*ln2*s7b + 
    16227187200*s8a + 94106880000*s8b + 12096000000*s8c + 7773696000*s8d + 
    1157184000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    5096000*ln2^6*z2 - 25482240000*s6*z2 + 1238630400*li4half*z2^2 - 
    121497600*ln2^4*z2^2 + 1755986400*ln2^2*z2^3 - 1969651008*z2^4 - 
    16394112000*li5half*z3 + 366912000*li4half*ln2*z3 + 151905600*ln2^5*z3 - 
    1484364000*ln2^3*z2*z3 - 12190374000*ln2*z2^2*z3 - 36792000*ln2^2*z3^2 - 
    12790512000*z2*z3^2 + 3235470000*ln2^3*z5 - 31434543000*ln2*z2*z5 + 
    16056495000*z3*z5 - 14616370125*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, 1, 0, 0, 1, 1] -> (-12768000*ln2^2*s6 + 77952000*ln2*s7a - 
    129024000*ln2*s7b + 39485775*s8a + 215880000*s8b - 36288000*s8c + 
    92736000*s8d - 451584000*li6half*z2 - 75264000*li5half*ln2*z2 - 
    458304000*s6*z2 + 18547200*li4half*z2^2 + 3908800*ln2^4*z2^2 + 
    14700000*ln2^2*z2^3 + 687524*z2^4 - 34944000*li5half*z3 + 
    291200*ln2^5*z3 + 7672000*ln2^3*z2*z3 + 48837600*ln2*z2^2*z3 + 
    102396000*ln2^2*z3^2 + 73962000*z2*z3^2 + 200508000*ln2^3*z5 + 
    591654000*ln2*z2*z5 + 186241125*z3*z5 - 583264500*ln2*z7)/9408000, 
 H[-1, 0, 1, -1, 1, 0, 0, 0, 1] -> (-88704000*ln2^2*s6 + 12096000*ln2*s7a - 
    25536000*ln2*s7b + 181577550*s8a + 899808000*s8b + 153216000*s8c + 
    72576000*s8d - 246288000*s6*z2 + 14515200*li4half*z2^2 + 
    604800*ln2^4*z2^2 + 36590400*ln2^2*z2^3 + 18201158*z2^4 - 
    173376000*li5half*z3 + 1444800*ln2^5*z3 - 14448000*ln2^3*z2*z3 - 
    145924800*ln2*z2^2*z3 - 6426000*ln2^2*z3^2 - 153499500*z2*z3^2 + 
    36456000*ln2^3*z5 - 392868000*ln2*z2*z5 + 261717750*z3*z5 - 
    191858625*ln2*z7)/4704000, H[-1, 0, 1, -1, 1, 0, 0, -1, 1] -> 
  (-268800*ln2^2*s6 + 940800*ln2*s7a - 361725*s8a + 8736000*s8b - 
    1344000*s8c + 1344000*s8d - 11289600*li6half*z2 - 
    1881600*li5half*ln2*z2 - 7627200*s6*z2 + 268800*li4half*z2^2 + 
    89600*ln2^4*z2^2 + 921480*ln2^2*z2^3 + 2385014*z2^4 + 
    2133600*li5half*z3 - 17780*ln2^5*z3 - 351400*ln2^3*z2*z3 + 
    1344210*ln2*z2^2*z3 + 901950*ln2^2*z3^2 + 2941050*z2*z3^2 + 
    911400*ln2^3*z5 + 4546500*ln2*z2*z5 - 8962800*z3*z5 - 15534225*ln2*z7)/
   470400, H[-1, 0, 1, -1, 1, 0, -1, 1, 1] -> 
  (-32256000*li4half^2 + 774144000*li7half*ln2 + 193536000*li6half*ln2^2 - 
    2688000*li4half*ln2^4 + 59200*ln2^8 + 10368000*ln2^2*s6 + 
    167040000*ln2*s7a - 211968000*ln2*s7b - 107906400*s8a - 370944000*s8b - 
    145152000*s8c + 48384000*s8d - 193536000*li6half*z2 - 
    163296000*li5half*ln2*z2 - 8064000*li4half*ln2^2*z2 - 50400*ln2^6*z2 - 
    153216000*s6*z2 + 32256000*li4half*z2^2 + 11020800*ln2^4*z2^2 - 
    9424800*ln2^2*z2^3 - 27808704*z2^4 + 35784000*li5half*z3 - 
    26208000*li4half*ln2*z3 - 1390200*ln2^5*z3 + 23520000*ln2^3*z2*z3 + 
    165533400*ln2*z2^2*z3 + 195192000*ln2^2*z3^2 + 151200000*z2*z3^2 + 
    367164000*ln2^3*z5 + 1260436500*ln2*z2*z5 - 72237375*z3*z5 - 
    1739772000*ln2*z7)/4032000, H[-1, 0, 1, -1, 1, 0, -1, 0, 1] -> 
  (-7680000*ln2^2*s6 - 4416000*ln2*s7a - 4416000*ln2*s7b + 17984400*s8a + 
    61824000*s8b + 24192000*s8c - 8064000*s8d + 16128000*li6half*z2 + 
    5376000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 145600*ln2^6*z2 + 
    18480000*s6*z2 - 1948800*li4half*z2^2 - 977200*ln2^4*z2^2 + 
    1038000*ln2^2*z2^3 + 6368624*z2^4 + 1680000*li5half*z3 + 
    336000*li4half*ln2*z3 + 1568000*ln2^3*z2*z3 - 13235100*ln2*z2^2*z3 - 
    7599000*ln2^2*z3^2 - 22438500*z2*z3^2 - 66555000*ln2*z2*z5 + 
    3751125*z3*z5 - 36694125*ln2*z7)/672000, 
 H[-1, 0, 1, -1, 1, 0, -1, -1, 1] -> 
  (-9031680000*li8half - 3612672000*li7half*ln2 - 451584000*li6half*ln2^2 - 
    134400*ln2^8 + 1832208000*ln2^2*s6 - 850752000*ln2*s7a + 
    1068480000*ln2*s7b - 3573894975*s8a - 21776664000*s8b - 2452128000*s8c - 
    2091936000*s8d + 9408000*li5half*ln2*z2 + 548800*ln2^6*z2 + 
    6455904000*s6*z2 - 418387200*li4half*z2^2 - 16648800*ln2^4*z2^2 - 
    381511200*ln2^2*z2^3 + 679629624*z2^4 + 4197984000*li5half*z3 - 
    34983200*ln2^5*z3 + 309260000*ln2^3*z2*z3 + 2595285000*ln2*z2^2*z3 - 
    662382000*ln2^2*z3^2 + 2709997500*z2*z3^2 - 1859256000*ln2^3*z5 + 
    4114383000*ln2*z2*z5 - 3898873125*z3*z5 + 8029717500*ln2*z7)/18816000, 
 H[-1, 0, 1, -1, 1, -1, 1, 1, 1] -> 
  (-169344000*li4half^2 - 2342592000*li8half + 310464000*li7half*ln2 + 
    42336000*li6half*ln2^2 + 14112000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 472500*ln2^8 + 24696000*ln2^2*s6 + 
    64512000*ln2*s7a - 20160000*ln2*s7b - 496827450*s8a - 3592512000*s8b - 
    199584000*s8c - 442512000*s8d - 42336000*li6half*z2 - 
    127008000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 2842000*ln2^6*z2 + 
    1216656000*s6*z2 + 30038400*li4half*z2^2 + 50261400*ln2^4*z2^2 + 
    77641200*ln2^2*z2^3 + 253508328*z2^4 + 1012032000*li5half*z3 - 
    137592000*li4half*ln2*z3 - 14784000*ln2^5*z3 - 2100000*ln2^3*z2*z3 + 
    487305000*ln2*z2^2*z3 + 1543500*ln2^2*z3^2 + 395545500*z2*z3^2 + 
    20506500*ln2^3*z5 + 804163500*ln2*z2*z5 - 975838500*z3*z5 - 
    572158125*ln2*z7)/28224000, H[-1, 0, 1, -1, 1, -1, 1, 0, 1] -> 
  (451584000*li8half + 45158400*li7half*ln2 + 2240*ln2^8 - 
    49190400*ln2^2*s6 + 5644800*ln2*s7a - 5644800*ln2*s7b + 129487050*s8a + 
    856396800*s8b + 87091200*s8c + 76608000*s8d + 2116800*li5half*ln2*z2 - 
    143080*ln2^6*z2 - 235065600*s6*z2 + 15321600*li4half*z2^2 - 
    1513680*ln2^4*z2^2 + 1983240*ln2^2*z2^3 - 30076884*z2^4 - 
    157449600*li5half*z3 + 1312080*ln2^5*z3 - 11312700*ln2^3*z2*z3 - 
    103400640*ln2*z2^2*z3 - 3339000*ln2^2*z3^2 - 99032850*z2*z3^2 + 
    10936800*ln2^3*z5 - 252155925*ln2*z2*z5 + 99773100*z3*z5 - 
    58851450*ln2*z7)/1411200, H[-1, 0, 1, -1, 1, -1, 1, -1, 1] -> 
  (129024000*li8half - 18144000*li7half*ln2 - 1008000*li5half*ln2^3 + 
    15200*ln2^8 - 3528000*ln2^2*s6 - 4536000*ln2*s7a + 6048000*ln2*s7b + 
    25023600*s8a + 177408000*s8b + 16128000*s8c + 16128000*s8d + 
    3024000*li5half*ln2*z2 + 128800*ln2^6*z2 - 48384000*s6*z2 + 
    3225600*li4half*z2^2 - 2100000*ln2^4*z2^2 - 5050800*ln2^2*z2^3 - 
    10394784*z2^4 - 33768000*li5half*z3 + 325500*ln2^5*z3 - 
    1743000*ln2^3*z2*z3 - 22383900*ln2*z2^2*z3 - 7276500*ln2^2*z3^2 - 
    19057500*z2*z3^2 - 5859000*ln2^3*z5 - 79096500*ln2*z2*z5 + 
    16466625*z3*z5 + 85018500*ln2*z7)/2016000, 
 H[-1, 0, 1, -1, 1, -1, 0, 1, 1] -> 
  (225792000*li4half^2 - 9031680000*li8half - 3612672000*li7half*ln2 - 
    451584000*li6half*ln2^2 + 18816000*li4half*ln2^4 + 257600*ln2^8 + 
    1894032000*ln2^2*s6 - 653184000*ln2*s7a + 758016000*ln2*s7b - 
    3614119425*s8a - 22123080000*s8b - 2707488000*s8c - 1836576000*s8d + 
    310464000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 
    5945184000*s6*z2 - 525369600*li4half*z2^2 - 31298400*ln2^4*z2^2 - 
    397101600*ln2^2*z2^3 + 463600512*z2^4 + 3479112000*li5half*z3 + 
    183456000*li4half*ln2*z3 - 21348600*ln2^5*z3 + 369306000*ln2^3*z2*z3 + 
    2549937600*ln2*z2^2*z3 - 260662500*ln2^2*z3^2 + 2731585500*z2*z3^2 - 
    1367100000*ln2^3*z5 + 5479047000*ln2*z2*z5 - 2407072500*z3*z5 + 
    7308756000*ln2*z7)/28224000, H[-1, 0, 1, -1, 1, -1, 0, 0, 1] -> 
  (-314496000*ln2^2*s6 + 44352000*ln2*s7a - 96768000*ln2*s7b + 
    642398400*s8a + 3099600000*s8b + 540288000*s8c + 249984000*s8d - 
    112896000*li6half*z2 - 156800*ln2^6*z2 - 923328000*s6*z2 + 
    49996800*li4half*z2^2 - 16732800*ln2^4*z2^2 + 157928400*ln2^2*z2^3 + 
    64198044*z2^4 - 468216000*li5half*z3 + 3901800*ln2^5*z3 - 
    54894000*ln2^3*z2*z3 - 452699100*ln2*z2^2*z3 - 34429500*ln2^2*z3^2 - 
    501133500*z2*z3^2 + 136710000*ln2^3*z5 - 1358658000*ln2*z2*z5 + 
    810203625*z3*z5 - 657121500*ln2*z7)/14112000, 
 H[-1, 0, 1, -1, 1, -1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 + 
    9408000*li4half*ln2^4 + 61600*ln2^8 - 1842624000*ln2^2*s6 + 
    415296000*ln2*s7a - 572544000*ln2*s7b + 3929700600*s8a + 
    23413824000*s8b + 2854656000*s8c + 1999872000*s8d - 
    112896000*li6half*z2 + 134064000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1156400*ln2^6*z2 - 6455232000*s6*z2 + 
    320947200*li4half*z2^2 - 19202400*ln2^4*z2^2 + 436287600*ln2^2*z2^3 - 
    463330944*z2^4 - 4080888000*li5half*z3 + 91728000*li4half*ln2*z3 + 
    37829400*ln2^5*z3 - 360801000*ln2^3*z2*z3 - 2946081600*ln2*z2^2*z3 + 
    122314500*ln2^2*z3^2 - 3037986000*z2*z3^2 + 956970000*ln2^3*z5 - 
    7051133250*ln2*z2*z5 + 3651787125*z3*z5 - 4912173000*ln2*z7)/14112000, 
 H[-1, 0, 1, -1, 1, -1, -1, 1, 1] -> 
  (112896000*li8half + 56448000*li7half*ln2 + 12096000*li6half*ln2^2 - 
    4032000*li5half*ln2^3 + 42000*ln2^8 + 30816000*ln2^2*s6 + 
    13536000*ln2*s7a - 18720000*ln2*s7b - 27319950*s8a - 62496000*s8b - 
    64512000*s8c + 38304000*s8d - 12096000*li6half*z2 - 
    24192000*li5half*ln2*z2 + 257600*ln2^6*z2 - 75600000*s6*z2 + 
    7660800*li4half*z2^2 - 2343600*ln2^4*z2^2 - 20872800*ln2^2*z2^3 - 
    39766032*z2^4 - 58464000*li5half*z3 + 575400*ln2^5*z3 + 
    10878000*ln2^3*z2*z3 + 24067800*ln2*z2^2*z3 + 37332000*ln2^2*z3^2 + 
    36540000*z2*z3^2 + 39060000*ln2^3*z5 + 296406000*ln2*z2*z5 + 
    73190250*z3*z5 - 107697375*ln2*z7)/4032000, 
 H[-1, 0, 1, -1, 1, -1, -1, 0, 1] -> 
  (-225792000*li4half^2 - 15805440000*li8half - 1580544000*li7half*ln2 - 
    18816000*li4half*ln2^4 - 470400*ln2^8 + 1676304000*ln2^2*s6 - 
    449568000*ln2*s7a - 40320000*ln2*s7b - 4414468275*s8a - 29644776000*s8b - 
    2453472000*s8c - 3247776000*s8d - 56448000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 197568000*li4half*ln2^2*z2 + 
    13484800*ln2^6*z2 + 9409680000*s6*z2 - 512668800*li4half*z2^2 + 
    20151600*ln2^4*z2^2 - 168184800*ln2^2*z2^3 + 1452393576*z2^4 + 
    6502608000*li5half*z3 - 162288000*li4half*ln2*z3 - 60950400*ln2^5*z3 + 
    584220000*ln2^3*z2*z3 + 3691006200*ln2*z2^2*z3 - 226201500*ln2^2*z3^2 + 
    3164647500*z2*z3^2 - 396459000*ln2^3*z5 + 7573671000*ln2*z2*z5 - 
    5073303375*z3*z5 - 17892000*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, 1, -1, -1, -1, 1] -> 
  (11289600*li4half^2 - 107251200*li8half - 67737600*li7half*ln2 - 
    19756800*li6half*ln2^2 + 5644800*li5half*ln2^3 + 940800*li4half*ln2^4 - 
    44100*ln2^8 - 20664000*ln2^2*s6 - 16531200*ln2*s7a + 6048000*ln2*s7b + 
    47935125*s8a + 166320000*s8b + 61689600*s8c - 24998400*s8d + 
    14112000*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 - 101920*ln2^6*z2 + 
    31651200*s6*z2 - 12902400*li4half*z2^2 + 544320*ln2^4*z2^2 + 
    17710560*ln2^2*z2^3 + 40047912*z2^4 + 40118400*li5half*z3 + 
    9172800*li4half*ln2*z3 - 75600*ln2^5*z3 - 6182400*ln2^3*z2*z3 - 
    24295320*ln2*z2^2*z3 - 34983900*ln2^2*z3^2 - 48692700*z2*z3^2 - 
    32810400*ln2^3*z5 - 225105300*ln2*z2*z5 - 36506925*z3*z5 - 
    85130325*ln2*z7)/5644800, H[-1, 0, 1, -1, 0, 1, 1, 1, 1] -> 
  (-28224000*li4half^2 + 2257920000*li8half + 1806336000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    16464000*li4half*ln2^4 + 119000*ln2^8 + 113904000*ln2^2*s6 + 
    243936000*ln2*s7a - 278208000*ln2*s7b + 277878825*s8a + 2813832000*s8b - 
    122976000*s8c + 574560000*s8d - 677376000*li6half*z2 - 
    451584000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 1920800*ln2^6*z2 - 
    1671264000*s6*z2 + 105033600*li4half*z2^2 - 13851600*ln2^4*z2^2 - 
    24494400*ln2^2*z2^3 - 243728568*z2^4 - 358848000*li5half*z3 + 
    70560000*li4half*ln2*z3 + 5930400*ln2^5*z3 + 26544000*ln2^3*z2*z3 + 
    15460200*ln2*z2^2*z3 + 243495000*ln2^2*z3^2 + 44604000*z2*z3^2 + 
    291648000*ln2^3*z5 + 1725948000*ln2*z2*z5 - 31224375*z3*z5 - 
    3126422250*ln2*z7)/56448000, H[-1, 0, 1, -1, 0, 1, 1, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 - 
    576000*ln2^2*s6 - 7488000*ln2*s7a - 7488000*ln2*s7b + 2184525*s8a - 
    15624000*s8b + 16128000*s8c - 16128000*s8d + 48384000*li6half*z2 + 
    32256000*li5half*ln2*z2 + 16128000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 
    60480000*s6*z2 + 10886400*li4half*z2^2 - 890400*ln2^4*z2^2 - 
    7200*ln2^2*z2^3 - 2119716*z2^4 - 32256000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 907200*ln2^5*z3 + 4368000*ln2^3*z2*z3 - 
    7612200*ln2*z2^2*z3 - 11628000*ln2^2*z3^2 - 21120750*z2*z3^2 - 
    68944500*ln2*z2*z5 + 43706250*z3*z5 - 17964000*ln2*z7)/4032000, 
 H[-1, 0, 1, -1, 0, 1, 1, -1, 1] -> 
  (-22579200*li4half^2 - 632217600*li8half - 72253440*li7half*ln2 - 
    6021120*li5half*ln2^3 - 2634240*li4half*ln2^4 - 21728*ln2^8 + 
    94631040*ln2^2*s6 - 10725120*ln2*s7a - 5644800*ln2*s7b - 237375495*s8a - 
    1457991360*s8b - 167811840*s8c - 124588800*s8d - 1128960*li5half*ln2*z2 + 
    2257920*li4half*ln2^2*z2 - 72128*ln2^6*z2 + 395377920*s6*z2 - 
    7757568*li4half*z2^2 + 4691232*ln2^4*z2^2 - 22738464*ln2^2*z2^3 + 
    32517504*z2^4 + 251717760*li5half*z3 - 29917440*li4half*ln2*z3 - 
    3344208*ln2^5*z3 + 28455840*ln2^3*z2*z3 + 198483768*ln2*z2^2*z3 + 
    10192140*ln2^2*z3^2 + 180604620*z2*z3^2 + 3645600*ln2^3*z5 + 
    513772560*ln2*z2*z5 - 189095445*z3*z5 + 73413270*ln2*z7)/2257920, 
 H[-1, 0, 1, -1, 0, 1, 0, 1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 - 
    57254400*ln2^2*s6 + 8064000*ln2*s7a - 37094400*ln2*s7b + 83016675*s8a + 
    298267200*s8b + 120960000*s8c - 53222400*s8d + 135475200*li6half*z2 + 
    90316800*li5half*ln2*z2 - 564480*ln2^6*z2 + 134668800*s6*z2 + 
    6289920*li4half*z2^2 + 6377280*ln2^4*z2^2 + 10775520*ln2^2*z2^3 + 
    29260044*z2^4 + 49996800*li5half*z3 - 25401600*li4half*ln2*z3 - 
    1475040*ln2^5*z3 - 19118400*ln2^3*z2*z3 - 39745440*ln2*z2^2*z3 - 
    21042000*ln2^2*z3^2 - 106728300*z2*z3^2 + 43747200*ln2^3*z5 - 
    363988800*ln2*z2*z5 - 73374525*z3*z5 - 228630150*ln2*z7)/5644800, 
 H[-1, 0, 1, -1, 0, 1, 0, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    72576000*ln2*s7a + 72576000*ln2*s7b - 62681850*s8a - 9072000*s8b - 
    145152000*s8c + 145152000*s8d - 56448000*li4half*ln2^2*z2 - 
    2352000*ln2^6*z2 - 262080000*s6*z2 - 28828800*li4half*z2^2 + 
    5854800*ln2^4*z2^2 + 33062400*ln2^2*z2^3 - 64005306*z2^4 - 
    120960000*li5half*z3 + 169344000*li4half*ln2*z3 + 8064000*ln2^5*z3 - 
    52416000*ln2^3*z2*z3 - 39690000*ln2*z2^2*z3 + 111132000*ln2^2*z3^2 + 
    77112000*z2*z3^2 + 231525000*ln2*z2*z5 + 152499375*z3*z5 + 
    459270000*ln2*z7)/14112000, H[-1, 0, 1, -1, 0, 1, 0, -1, 1] -> 
  (32256000*li4half^2 + 2688000*li4half*ln2^4 + 56000*ln2^8 + 
    6912000*ln2^2*s6 + 5184000*ln2*s7a + 21312000*ln2*s7b - 35103600*s8a - 
    169344000*s8b - 24192000*s8c - 24192000*s8d + 24192000*li6half*z2 + 
    40320000*li5half*ln2*z2 - 302400*ln2^6*z2 + 85680000*s6*z2 - 
    28425600*li4half*z2^2 - 344400*ln2^4*z2^2 + 3715200*ln2^2*z2^3 + 
    7610544*z2^4 + 26208000*li5half*z3 + 37296000*li4half*ln2*z3 + 
    1335600*ln2^5*z3 - 7140000*ln2^3*z2*z3 + 2522700*ln2*z2^2*z3 + 
    9882000*ln2^2*z3^2 + 22876875*z2*z3^2 - 15624000*ln2^3*z5 - 
    33687000*ln2*z2*z5 - 70355250*z3*z5 + 87906375*ln2*z7)/2016000, 
 H[-1, 0, 1, -1, 0, 1, -1, 1, 1] -> 
  (112896000*li4half^2 + 6773760000*li8half - 7225344000*li7half*ln2 - 
    2032128000*li6half*ln2^2 - 9408000*li4half*ln2^4 - 1808800*ln2^8 - 
    930384000*ln2^2*s6 - 1661184000*ln2*s7a + 2290176000*ln2*s7b + 
    3427059825*s8a + 18845064000*s8b + 2981664000*s8c + 997920000*s8d + 
    2032128000*li6half*z2 + 1354752000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 6115200*ln2^6*z2 - 2884896000*s6*z2 + 
    103622400*li4half*z2^2 - 159381600*ln2^4*z2^2 + 169394400*ln2^2*z2^3 - 
    231025248*z2^4 - 2842560000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    28392000*ln2^5*z3 - 487368000*ln2^3*z2*z3 - 3476907000*ln2*z2^2*z3 - 
    2180241000*ln2^2*z3^2 - 3220560000*z2*z3^2 - 3827880000*ln2^3*z5 - 
    17344656000*ln2*z2*z5 + 2377076625*z3*z5 + 17691534000*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, 0, 1, -1, 0, 1] -> (24192000*ln2*s7a - 13440000*ln2*s7b - 
    20893950*s8a - 3024000*s8b - 48384000*s8c + 48384000*s8d - 
    56448000*li6half*z2 - 75264000*li5half*ln2*z2 - 
    37632000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 - 127344000*s6*z2 + 
    18614400*li4half*z2^2 + 5087600*ln2^4*z2^2 - 8853600*ln2^2*z2^3 - 
    22449432*z2^4 - 49728000*li5half*z3 - 2352000*li4half*ln2*z3 + 
    316400*ln2^5*z3 - 3556000*ln2^3*z2*z3 + 20241900*ln2*z2^2*z3 + 
    37044000*ln2^2*z3^2 + 39356625*z2*z3^2 + 36456000*ln2^3*z5 + 
    266217000*ln2*z2*z5 + 62813625*z3*z5 - 29153250*ln2*z7)/4704000, 
 H[-1, 0, 1, -1, 0, 1, -1, -1, 1] -> 
  (-112896000*li4half^2 + 6773760000*li8half + 7225344000*li7half*ln2 + 
    1354752000*li6half*ln2^2 + 9408000*li4half*ln2^4 + 1204000*ln2^8 - 
    1309392000*ln2^2*s6 + 1495872000*ln2*s7a - 2060352000*ln2*s7b + 
    1613992275*s8a + 11120760000*s8b + 1094688000*s8c + 852768000*s8d - 
    28224000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 9643200*ln2^6*z2 - 
    2679264000*s6*z2 + 255225600*li4half*z2^2 + 135996000*ln2^4*z2^2 + 
    174232800*ln2^2*z2^3 - 367583256*z2^4 - 1642032000*li5half*z3 - 
    98784000*li4half*ln2*z3 + 9567600*ln2^5*z3 - 112140000*ln2^3*z2*z3 - 
    581603400*ln2*z2^2*z3 + 1440715500*ln2^2*z3^2 - 1188148500*z2*z3^2 + 
    3445092000*ln2^3*z5 + 2867445000*ln2*z2*z5 + 168469875*z3*z5 - 
    17294476500*ln2*z7)/56448000, H[-1, 0, 1, -1, 0, 0, 1, 1, 1] -> 
  (10080000*li4half^2 + 840000*li4half*ln2^4 + 17500*ln2^8 - 
    7488000*ln2^2*s6 + 2448000*ln2*s7a - 3600000*ln2*s7b + 10377675*s8a + 
    45108000*s8b + 8064000*s8c + 6048000*s8d + 1008000*li4half*ln2^2*z2 + 
    42000*ln2^6*z2 - 18144000*s6*z2 - 4132800*li4half*z2^2 - 
    1054200*ln2^4*z2^2 + 3348000*ln2^2*z2^3 - 2186802*z2^4 - 
    44352000*li5half*z3 + 6048000*li4half*ln2*z3 + 621600*ln2^5*z3 + 
    84000*ln2^3*z2*z3 - 19805400*ln2*z2^2*z3 + 6052500*ln2^2*z3^2 - 
    12820500*z2*z3^2 + 9114000*ln2^3*z5 - 13428000*ln2*z2*z5 + 
    73064250*z3*z5 - 5086125*ln2*z7)/2016000, 
 H[-1, 0, 1, -1, 0, 0, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    76608000*ln2^2*s6 - 36288000*ln2*s7a - 36288000*ln2*s7b - 800100*s8a + 
    114912000*s8b - 80640000*s8c + 80640000*s8d + 56448000*li4half*ln2^2*z2 + 
    2352000*ln2^6*z2 - 203616000*s6*z2 + 20361600*li4half*z2^2 - 
    6207600*ln2^4*z2^2 - 41630400*ln2^2*z2^3 - 22397346*z2^4 + 
    290304000*li5half*z3 - 84672000*li4half*ln2*z3 - 5947200*ln2^5*z3 + 
    45360000*ln2^3*z2*z3 + 156529800*ln2*z2^2*z3 - 34020000*ln2^2*z3^2 + 
    76135500*z2*z3^2 + 421722000*ln2*z2*z5 - 376086375*z3*z5 - 
    419099625*ln2*z7)/14112000, H[-1, 0, 1, -1, 0, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    341712000*ln2^2*s6 - 148176000*ln2*s7a + 232848000*ln2*s7b - 
    445863600*s8a - 2070432000*s8b - 387072000*s8c - 177408000*s8d - 
    338688000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 + 
    637056000*s6*z2 + 16732800*li4half*z2^2 - 13414800*ln2^4*z2^2 - 
    147672000*ln2^2*z2^3 - 7119936*z2^4 + 580608000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 4544400*ln2^5*z3 + 46620000*ln2^3*z2*z3 + 
    341409600*ln2*z2^2*z3 - 130788000*ln2^2*z3^2 + 389088000*z2*z3^2 - 
    391902000*ln2^3*z5 + 905436000*ln2*z2*z5 - 1003928625*z3*z5 + 
    774892125*ln2*z7)/14112000, H[-1, 0, 1, -1, 0, 0, 0, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    12384000*ln2^2*s6 - 10368000*ln2*s7a + 21888000*ln2*s7b - 35861175*s8a - 
    189504000*s8b - 20160000*s8c - 28224000*s8d - 4032000*li4half*ln2^2*z2 - 
    168000*ln2^6*z2 + 80640000*s6*z2 - 7257600*li4half*z2^2 + 
    201600*ln2^4*z2^2 - 1994400*ln2^2*z2^3 + 5299212*z2^4 + 
    24192000*li5half*z3 + 6048000*li4half*ln2*z3 + 50400*ln2^5*z3 + 
    504000*ln2^3*z2*z3 + 13237200*ln2*z2^2*z3 - 8424000*ln2^2*z3^2 + 
    27090000*z2*z3^2 - 31248000*ln2^3*z5 - 3501000*ln2*z2*z5 - 
    63015750*z3*z5 + 110538000*ln2*z7)/2016000, 
 H[-1, 0, 1, -1, 0, 0, 0, 0, 1] -> 
  (-170100*s8a - 2016000*s8b - 672000*s6*z2 + 470400*li4half*z2^2 + 
    19600*ln2^4*z2^2 + 638400*ln2^2*z2^3 - 734276*z2^4 + 302400*ln2*z2^2*z3 + 
    157500*z2*z3^2 + 315000*ln2*z2*z5 + 2189250*z3*z5 + 3677625*ln2*z7)/
   336000, H[-1, 0, 1, -1, 0, 0, 0, -1, 1] -> 
  (-50400000*ln2^2*s6 + 12096000*ln2*s7a - 25536000*ln2*s7b + 90167700*s8a + 
    394632000*s8b + 76608000*s8c + 36288000*s8d - 133728000*s6*z2 + 
    11726400*li4half*z2^2 + 488600*ln2^4*z2^2 + 18690000*ln2^2*z2^3 - 
    6030173*z2^4 - 100800000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    546000*ln2^5*z3 - 6636000*ln2^3*z2*z3 - 67645200*ln2*z2^2*z3 + 
    4347000*ln2^2*z3^2 - 75096000*z2*z3^2 + 36456000*ln2^3*z5 - 
    147498750*ln2*z2*z5 + 198736125*z3*z5 - 47284125*ln2*z7)/2352000, 
 H[-1, 0, 1, -1, 0, 0, -1, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    7824000*ln2^2*s6 + 4800000*ln2*s7a - 4608000*ln2*s7b + 4496100*s8a + 
    15456000*s8b + 6048000*s8c - 2016000*s8d + 16128000*li5half*ln2*z2 - 
    134400*ln2^6*z2 + 2016000*s6*z2 - 4300800*li4half*z2^2 + 
    660800*ln2^4*z2^2 + 4467600*ln2^2*z2^3 + 2263476*z2^4 - 
    13440000*li5half*z3 + 2688000*li4half*ln2*z3 + 224000*ln2^5*z3 - 
    1792000*ln2^3*z2*z3 - 7110900*ln2*z2^2*z3 + 5149500*ln2^2*z3^2 - 
    4882500*z2*z3^2 + 9114000*ln2^3*z5 - 21544500*ln2*z2*z5 + 
    15190875*z3*z5 - 19405500*ln2*z7)/672000, 
 H[-1, 0, 1, -1, 0, 0, -1, 0, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    18547200*ln2^2*s6 - 4032000*ln2*s7a - 4032000*ln2*s7b - 10035900*s8a + 
    10886400*s8b - 29030400*s8c + 29030400*s8d + 11289600*li4half*ln2^2*z2 + 
    470400*ln2^6*z2 - 66528000*s6*z2 + 9475200*li4half*z2^2 - 
    1016400*ln2^4*z2^2 - 5433120*ln2^2*z2^3 - 14417658*z2^4 + 
    9676800*li5half*z3 - 22579200*li4half*ln2*z3 - 1021440*ln2^5*z3 + 
    6451200*ln2^3*z2*z3 + 26394480*ln2*z2^2*z3 - 957600*ln2^2*z3^2 + 
    20052900*z2*z3^2 + 103433400*ln2*z2*z5 - 6742575*z3*z5 - 22946175*ln2*z7)/
   2822400, H[-1, 0, 1, -1, 0, 0, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    259056000*ln2^2*s6 + 116928000*ln2*s7a - 165312000*ln2*s7b + 
    517146525*s8a + 2685816000*s8b + 312480000*s8c + 449568000*s8d - 
    84672000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1881600*ln2^6*z2 - 
    1280160000*s6*z2 + 140716800*li4half*z2^2 - 4720800*ln2^4*z2^2 + 
    80690400*ln2^2*z2^3 - 136276416*z2^4 - 906192000*li5half*z3 - 
    112896000*li4half*ln2*z3 + 2847600*ln2^5*z3 - 10248000*ln2^3*z2*z3 - 
    412461000*ln2*z2^2*z3 + 116991000*ln2^2*z3^2 - 390694500*z2*z3^2 + 
    273420000*ln2^3*z5 - 319315500*ln2*z2*z5 + 1578024000*z3*z5 - 
    269734500*ln2*z7)/28224000, H[-1, 0, 1, -1, 0, -1, 1, 1, 1] -> 
  (677376000*li4half^2 - 4515840000*li8half - 677376000*li6half*ln2^2 - 
    301056000*li5half*ln2^3 + 56448000*li4half*ln2^4 + 2632000*ln2^8 + 
    257040000*ln2^2*s6 - 4032000*ln2*s7a - 88704000*ln2*s7b - 
    1426560975*s8a - 8243928000*s8b - 1324512000*s8c - 171360000*s8d + 
    677376000*li6half*z2 - 225792000*li5half*ln2*z2 - 5017600*ln2^6*z2 + 
    1499904000*s6*z2 - 344736000*li4half*z2^2 + 16917600*ln2^4*z2^2 - 
    34322400*ln2^2*z2^3 - 103289616*z2^4 - 532224000*li5half*z3 + 
    155232000*li4half*ln2*z3 + 10903200*ln2^5*z3 + 250236000*ln2^3*z2*z3 + 
    736104600*ln2*z2^2*z3 + 529168500*ln2^2*z3^2 + 874534500*z2*z3^2 + 
    483042000*ln2^3*z5 + 4383162000*ln2*z2*z5 + 2032309125*z3*z5 - 
    81963000*ln2*z7)/56448000, H[-1, 0, 1, -1, 0, -1, 1, 0, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 + 
    56448000*ln2^2*s6 - 129024000*ln2*s7a - 16128000*ln2*s7b + 97432650*s8a - 
    5040000*s8b + 145152000*s8c - 145152000*s8d - 338688000*li6half*z2 + 
    197568000*li4half*ln2^2*z2 + 7761600*ln2^6*z2 + 106848000*s6*z2 + 
    54230400*li4half*z2^2 - 25964400*ln2^4*z2^2 + 5216400*ln2^2*z2^3 + 
    104239584*z2^4 + 600768000*li5half*z3 - 77616000*li4half*ln2*z3 - 
    8240400*ln2^5*z3 + 69468000*ln2^3*z2*z3 + 109147500*ln2*z2^2*z3 - 
    181692000*ln2^2*z3^2 - 9198000*z2*z3^2 - 109368000*ln2^3*z5 - 
    314433000*ln2*z2*z5 - 614005875*z3*z5 - 346263750*ln2*z7)/14112000, 
 H[-1, 0, 1, -1, 0, -1, 1, -1, 1] -> 
  (-5644800*li4half^2 + 225792000*li8half + 3763200*li5half*ln2^3 - 
    470400*li4half*ln2^4 - 35560*ln2^8 - 31903200*ln2^2*s6 - 
    1764000*ln2*s7a + 4233600*ln2*s7b + 92685600*s8a + 551577600*s8b + 
    67334400*s8c + 45561600*s8d - 11289600*li5half*ln2*z2 - 
    5644800*li4half*ln2^2*z2 + 15680*ln2^6*z2 - 147571200*s6*z2 + 
    12075840*li4half*z2^2 - 1337280*ln2^4*z2^2 + 4795560*ln2^2*z2^3 - 
    12470148*z2^4 - 86184000*li5half*z3 + 2822400*li4half*ln2*z3 + 
    835800*ln2^5*z3 - 10665900*ln2^3*z2*z3 - 72504180*ln2*z2^2*z3 - 
    11673900*ln2^2*z3^2 - 71360100*z2*z3^2 - 10822875*ln2^3*z5 - 
    199566675*ln2*z2*z5 + 71086050*z3*z5 + 6945750*ln2*z7)/705600, 
 H[-1, 0, 1, -1, 0, -1, 0, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    18144000*ln2^2*s6 - 36288000*ln2*s7a + 76608000*ln2*s7b - 124418700*s8a - 
    546336000*s8b - 20160000*s8c - 149184000*s8d - 677376000*li6half*z2 - 
    225792000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 235200*ln2^6*z2 - 
    12096000*s6*z2 + 53424000*li4half*z2^2 + 11634000*ln2^4*z2^2 + 
    21243600*ln2^2*z2^3 + 139216968*z2^4 + 439488000*li5half*z3 - 
    91728000*li4half*ln2*z3 - 7484400*ln2^5*z3 - 14532000*ln2^3*z2*z3 + 
    160227900*ln2*z2^2*z3 - 93681000*ln2^2*z3^2 + 261639000*z2*z3^2 - 
    109368000*ln2^3*z5 + 110628000*ln2*z2*z5 - 840262500*z3*z5 + 
    261032625*ln2*z7)/14112000, H[-1, 0, 1, -1, 0, -1, 0, 0, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 - 
    3225600*ln2^2*s6 + 11289600*ln2*s7a + 11289600*ln2*s7b - 9654750*s8a - 
    23587200*s8b - 16128000*s8c + 16128000*s8d - 11289600*li4half*ln2^2*z2 - 
    470400*ln2^6*z2 - 32256000*s6*z2 + 685440*li4half*z2^2 + 
    1439760*ln2^4*z2^2 + 7106400*ln2^2*z2^3 - 15019386*z2^4 - 
    66124800*li5half*z3 + 16934400*li4half*ln2*z3 + 1256640*ln2^5*z3 - 
    9744000*ln2^3*z2*z3 - 12904920*ln2*z2^2*z3 + 16380000*ln2^2*z3^2 + 
    4599000*z2*z3^2 + 18837000*ln2*z2*z5 + 99837675*z3*z5 + 110977650*ln2*z7)/
   2822400, H[-1, 0, 1, -1, 0, -1, 0, -1, 1] -> 
  (-5760000*ln2^2*s6 - 960000*ln2*s7a - 6336000*ln2*s7b + 14414400*s8a + 
    51072000*s8b + 13440000*s8c + 2688000*s8d - 16128000*li6half*z2 + 
    2688000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 123200*ln2^6*z2 - 
    23520000*s6*z2 + 1142400*li4half*z2^2 - 400400*ln2^4*z2^2 + 
    4136400*ln2^2*z2^3 + 1000464*z2^4 - 7392000*li5half*z3 - 
    5040000*li4half*ln2*z3 - 148400*ln2^5*z3 + 644000*ln2^3*z2*z3 - 
    6194100*ln2*z2^2*z3 - 3090000*ln2^2*z3^2 - 8946000*z2*z3^2 + 
    5208000*ln2^3*z5 - 20175000*ln2*z2*z5 + 26013750*z3*z5 - 15847875*ln2*z7)/
   672000, H[-1, 0, 1, -1, 0, -1, -1, 1, 1] -> 
  (225792000*li4half^2 - 4515840000*li8half + 5419008000*li7half*ln2 + 
    2032128000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    18816000*li4half*ln2^4 + 772800*ln2^8 + 299376000*ln2^2*s6 + 
    1235808000*ln2*s7a - 1572480000*ln2*s7b - 1792795725*s8a - 
    10125864000*s8b - 953568000*s8c - 1219680000*s8d - 
    2032128000*li6half*z2 - 225792000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 2665600*ln2^6*z2 + 2467584000*s6*z2 - 
    337075200*li4half*z2^2 + 87796800*ln2^4*z2^2 + 262533600*ln2^2*z2^3 + 
    850330584*z2^4 + 2467584000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    22033200*ln2^5*z3 + 103320000*ln2^3*z2*z3 + 1912869000*ln2*z2^2*z3 + 
    1087474500*ln2^2*z3^2 + 1745572500*z2*z3^2 + 2506350000*ln2^3*z5 + 
    7475895000*ln2*z2*z5 - 3307066875*z3*z5 - 13208406750*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, 0, -1, -1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 
    8640000*ln2^2*s6 + 15552000*ln2*s7a + 15552000*ln2*s7b - 15219225*s8a - 
    29736000*s8b - 48384000*s8c + 48384000*s8d + 96768000*li6half*z2 + 
    32256000*li5half*ln2*z2 - 8064000*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 
    46368000*s6*z2 - 2217600*li4half*z2^2 + 1587600*ln2^4*z2^2 + 
    2275200*ln2^2*z2^3 - 43505496*z2^4 - 104832000*li5half*z3 + 
    10080000*li4half*ln2*z3 + 1293600*ln2^5*z3 - 11256000*ln2^3*z2*z3 - 
    11212200*ln2*z2^2*z3 + 26244000*ln2^2*z3^2 + 315000*z2*z3^2 + 
    64723500*ln2*z2*z5 + 170989875*z3*z5 + 163635750*ln2*z7)/4032000, 
 H[-1, 0, 1, -1, 0, -1, -1, -1, 1] -> 
  (70560000*li4half^2 - 4515840000*li8half - 2709504000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 
    5880000*li4half*ln2^4 + 234500*ln2^8 + 593712000*ln2^2*s6 - 
    563472000*ln2*s7a + 643104000*ln2*s7b - 1269555525*s8a - 8631504000*s8b - 
    864864000*s8c - 673344000*s8d + 169344000*li5half*ln2*z2 + 
    91728000*li4half*ln2^2*z2 + 2097200*ln2^6*z2 + 2115792000*s6*z2 - 
    174182400*li4half*z2^2 - 20487600*ln2^4*z2^2 - 59724000*ln2^2*z2^3 + 
    195945336*z2^4 + 1247904000*li5half*z3 - 38808000*li4half*ln2*z3 - 
    12016200*ln2^5*z3 + 150738000*ln2^3*z2*z3 + 777155400*ln2*z2^2*z3 - 
    399483000*ln2^2*z3^2 + 938605500*z2*z3^2 - 1061781000*ln2^3*z5 + 
    537012000*ln2*z2*z5 - 202836375*z3*z5 + 6453798750*ln2*z7)/28224000, 
 H[-1, 0, 1, -1, -1, 1, 1, 1, 1] -> 
  (112896000*li4half^2 + 1411200000*li8half - 1016064000*li7half*ln2 - 
    28224000*li6half*ln2^2 + 28224000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 
    158200*ln2^8 + 252000000*ln2^2*s6 - 207648000*ln2*s7a + 
    342720000*ln2*s7b + 166781475*s8a + 1490328000*s8b - 74592000*s8c + 
    314496000*s8d + 28224000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 2704800*ln2^6*z2 - 756000000*s6*z2 - 
    16128000*li4half*z2^2 - 54356400*ln2^4*z2^2 - 148478400*ln2^2*z2^3 - 
    219615264*z2^4 - 516096000*li5half*z3 + 91728000*li4half*ln2*z3 + 
    8122800*ln2^5*z3 + 18732000*ln2^3*z2*z3 - 254860200*ln2*z2^2*z3 - 
    216216000*ln2^2*z3^2 - 45045000*z2*z3^2 - 587853000*ln2^3*z5 - 
    608769000*ln2*z2*z5 + 378181125*z3*z5 + 2792900250*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, -1, 1, 1, 0, 1] -> 
  (225792000*li4half^2 - 4515840000*li8half - 451584000*li7half*ln2 + 
    18816000*li4half*ln2^4 + 369600*ln2^8 + 226800000*ln2^2*s6 + 
    18144000*ln2*s7a + 88704000*ln2*s7b - 871499475*s8a - 6316632000*s8b - 
    489888000*s8c - 554400000*s8d + 225792000*li6half*z2 + 
    310464000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 1332800*ln2^6*z2 + 
    1786176000*s6*z2 - 268934400*li4half*z2^2 - 12616800*ln2^4*z2^2 + 
    169394400*ln2^2*z2^3 + 311827104*z2^4 + 798336000*li5half*z3 + 
    183456000*li4half*ln2*z3 + 991200*ln2^5*z3 + 25956000*ln2^3*z2*z3 + 
    468808200*ln2*z2^2*z3 + 91570500*ln2^2*z3^2 + 519781500*z2*z3^2 - 
    68355000*ln2^3*z5 + 798525000*ln2*z2*z5 + 237675375*z3*z5 + 
    1040035500*ln2*z7)/56448000, H[-1, 0, 1, -1, -1, 1, 1, -1, 1] -> 
  (-225792000*li8half + 1128960000*li7half*ln2 - 28224000*li5half*ln2^3 + 
    5600*ln2^8 - 495936000*ln2^2*s6 + 322560000*ln2*s7a - 453600000*ln2*s7b + 
    412322400*s8a + 1824480000*s8b + 346752000*s8c + 189504000*s8d + 
    84672000*li5half*ln2*z2 - 1019200*ln2^6*z2 - 647136000*s6*z2 + 
    37900800*li4half*z2^2 + 41798400*ln2^4*z2^2 + 206085600*ln2^2*z2^3 - 
    3904416*z2^4 - 421344000*li5half*z3 + 3511200*ln2^5*z3 - 
    45696000*ln2^3*z2*z3 - 215611200*ln2*z2^2*z3 + 354438000*ln2^2*z3^2 - 
    356202000*z2*z3^2 + 806589000*ln2^3*z5 + 148428000*ln2*z2*z5 + 
    941267250*z3*z5 - 2895850125*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, -1, 1, 0, 1, 1] -> 
  (-45158400*li4half^2 - 3763200*li4half*ln2^4 - 78400*ln2^8 + 
    5241600*ln2^2*s6 - 14918400*ln2*s7a - 6451200*ln2*s7b - 24664500*s8a - 
    155433600*s8b + 19353600*s8c - 70156800*s8d - 5644800*li5half*ln2*z2 - 
    11289600*li4half*ln2^2*z2 - 423360*ln2^6*z2 + 165715200*s6*z2 + 
    17579520*li4half*z2^2 + 5906880*ln2^4*z2^2 - 11340000*ln2^2*z2^3 + 
    31350888*z2^4 + 143841600*li5half*z3 - 36691200*li4half*ln2*z3 - 
    2727480*ln2^5*z3 - 2125200*ln2^3*z2*z3 + 49928760*ln2*z2^2*z3 - 
    31093650*ln2^2*z3^2 + 10026450*z2*z3^2 - 8202600*ln2^3*z5 - 
    64688400*ln2*z2*z5 - 241351425*z3*z5 - 90304200*ln2*z7)/5644800, 
 H[-1, 0, 1, -1, -1, 1, 0, 0, 1] -> (16800000*ln2^2*s6 + 6384000*ln2*s7a + 
    6384000*ln2*s7b - 33711825*s8a - 131376000*s8b - 46368000*s8c + 
    18144000*s8d - 18816000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 
    431200*ln2^6*z2 - 22176000*s6*z2 + 4804800*li4half*z2^2 + 
    2160200*ln2^4*z2^2 - 4124400*ln2^2*z2^3 - 19864062*z2^4 - 
    28056000*li5half*z3 - 1176000*li4half*ln2*z3 + 184800*ln2^5*z3 - 
    4690000*ln2^3*z2*z3 + 20603100*ln2*z2^2*z3 + 14500500*ln2^2*z3^2 + 
    33655125*z2*z3^2 + 147987000*ln2*z2*z5 + 37306500*z3*z5 + 
    67134375*ln2*z7)/4704000, H[-1, 0, 1, -1, -1, 1, 0, -1, 1] -> 
  (-3225600*li4half^2 - 268800*li4half*ln2^4 - 5600*ln2^8 + 288000*ln2^2*s6 - 
    288000*ln2*s7a - 1699200*ln2*s7b - 2822400*li5half*ln2*z2 - 
    806400*li4half*ln2^2*z2 - 10080*ln2^6*z2 + 2257920*li4half*z2^2 + 
    262080*ln2^4*z2^2 - 1049760*ln2^2*z2^3 - 391536*z2^4 + 
    1764000*li5half*z3 - 2620800*li4half*ln2*z3 - 123900*ln2^5*z3 + 
    613200*ln2^3*z2*z3 + 2095020*ln2*z2^2*z3 - 360000*ln2^2*z3^2 + 
    1367100*ln2^3*z5 + 7820100*ln2*z2*z5 - 1740375*z3*z5 - 9749475*ln2*z7)/
   403200, H[-1, 0, 1, -1, -1, 1, -1, 1, 1] -> 
  (-2257920000*li8half - 56448000*li7half*ln2 - 169344000*li6half*ln2^2 - 
    280000*ln2^8 - 281232000*ln2^2*s6 - 70560000*ln2*s7a + 
    112896000*ln2*s7b - 121569525*s8a - 2029608000*s8b + 364896000*s8c - 
    675360000*s8d + 169344000*li6half*z2 + 338688000*li5half*ln2*z2 - 
    4782400*ln2^6*z2 + 1675296000*s6*z2 - 135072000*li4half*z2^2 + 
    57523200*ln2^4*z2^2 + 256284000*ln2^2*z2^3 + 485860896*z2^4 + 
    1139040000*li5half*z3 - 9492000*ln2^5*z3 - 137928000*ln2^3*z2*z3 + 
    101014200*ln2*z2^2*z3 - 182511000*ln2^2*z3^2 - 113148000*z2*z3^2 - 
    177723000*ln2^3*z5 - 2088261000*ln2*z2*z5 - 1097830125*z3*z5 + 
    168241500*ln2*z7)/56448000, H[-1, 0, 1, -1, -1, 1, -1, 0, 1] -> 
  (2257920000*li8half + 225792000*li7half*ln2 + 11200*ln2^8 - 
    160944000*ln2^2*s6 + 69888000*ln2*s7a + 8736000*ln2*s7b + 476351925*s8a + 
    3622584000*s8b + 182112000*s8c + 495264000*s8d - 56448000*li6half*z2 - 
    94080000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 3449600*ln2^6*z2 - 
    1369200000*s6*z2 + 106108800*li4half*z2^2 + 10810800*ln2^4*z2^2 - 
    7526400*ln2^2*z2^3 - 256865712*z2^4 - 931728000*li5half*z3 - 
    7056000*li4half*ln2*z3 + 7470400*ln2^5*z3 - 89992000*ln2^3*z2*z3 - 
    400482600*ln2*z2^2*z3 + 61750500*ln2^2*z3^2 - 291081000*z2*z3^2 + 
    59241000*ln2^3*z5 - 424851000*ln2*z2*z5 + 669188625*z3*z5 + 
    82826625*ln2*z7)/18816000, H[-1, 0, 1, -1, -1, 1, -1, -1, 1] -> 
  (-16128000*li4half^2 + 24192000*li8half + 8064000*li7half*ln2 + 
    12096000*li6half*ln2^2 - 1344000*li4half*ln2^4 - 12200*ln2^8 + 
    15696000*ln2^2*s6 - 2592000*ln2*s7a - 5280000*ln2*s7b - 19410300*s8a - 
    93744000*s8b - 16128000*s8c - 8064000*s8d - 12096000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 + 28224000*s6*z2 + 9676800*li4half*z2^2 + 
    369600*ln2^4*z2^2 - 11685600*ln2^2*z2^3 - 5929488*z2^4 + 
    24192000*li5half*z3 - 13104000*li4half*ln2*z3 - 747600*ln2^5*z3 + 
    5292000*ln2^3*z2*z3 + 24273600*ln2*z2^2*z3 - 2862000*ln2^2*z3^2 + 
    16380000*z2*z3^2 + 2604000*ln2^3*z5 + 78405000*ln2*z2*z5 - 
    39060000*z3*z5 - 18342375*ln2*z7)/2688000, 
 H[-1, 0, 1, -1, -1, 0, 1, 1, 1] -> 
  (4515840000*li8half + 2709504000*li7half*ln2 + 677376000*li6half*ln2^2 + 
    75264000*li5half*ln2^3 - 112000*ln2^8 - 883008000*ln2^2*s6 + 
    693504000*ln2*s7a - 915264000*ln2*s7b + 1569003975*s8a + 9958536000*s8b + 
    1155168000*s8c + 820512000*s8d - 677376000*li6half*z2 - 627200*ln2^6*z2 - 
    3016944000*s6*z2 + 164102400*li4half*z2^2 + 20949600*ln2^4*z2^2 + 
    205027200*ln2^2*z2^3 - 166453704*z2^4 - 1782144000*li5half*z3 + 
    14851200*ln2^5*z3 - 143220000*ln2^3*z2*z3 - 1032229800*ln2*z2^2*z3 + 
    558904500*ln2^2*z3^2 - 1088419500*z2*z3^2 + 1535709000*ln2^3*z5 - 
    804699000*ln2*z2*z5 + 1276844625*z3*z5 - 6912265500*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, -1, 0, 1, 0, 1] -> (-18816000*ln2^2*s6 + 8736000*ln2*s7a - 
    10080000*ln2*s7b + 42061950*s8a + 238224000*s8b + 20160000*s8c + 
    36288000*s8d + 56448000*li6half*z2 + 78400*ln2^6*z2 - 76104000*s6*z2 + 
    7257600*li4half*z2^2 - 873600*ln2^4*z2^2 - 2906400*ln2^2*z2^3 - 
    11750608*z2^4 - 32592000*li5half*z3 + 271600*ln2^5*z3 + 
    2576000*ln2^3*z2*z3 - 22241100*ln2*z2^2*z3 + 8085000*ln2^2*z3^2 - 
    35093625*z2*z3^2 + 18228000*ln2^3*z5 - 20837250*ln2*z2*z5 + 
    49678125*z3*z5 - 76558125*ln2*z7)/4704000, 
 H[-1, 0, 1, -1, -1, 0, 1, -1, 1] -> 
  (1290240*li4half^2 - 51609600*li8half - 7741440*li7half*ln2 - 
    215040*li5half*ln2^3 + 107520*li4half*ln2^4 + 4288*ln2^8 + 
    10200960*ln2^2*s6 - 1935360*ln2*s7a + 3628800*ln2*s7b - 22543605*s8a - 
    132390720*s8b - 16531200*s8c - 11370240*s8d + 322560*li4half*ln2^2*z2 - 
    896*ln2^6*z2 + 36691200*s6*z2 - 3177216*li4half*z2^2 + 10752*ln2^4*z2^2 - 
    1850688*ln2^2*z2^3 + 3284280*z2^4 + 22962240*li5half*z3 + 
    1048320*li4half*ln2*z3 - 147672*ln2^5*z3 + 1848000*ln2^3*z2*z3 + 
    16202592*ln2*z2^2*z3 - 94500*ln2^2*z3^2 + 17565660*z2*z3^2 - 
    5325180*ln2^3*z5 + 39160800*ln2*z2*z5 - 22035195*z3*z5 + 23332050*ln2*z7)/
   161280, H[-1, 0, 1, -1, -1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    14112000*ln2^2*s6 - 26208000*ln2*s7a + 58464000*ln2*s7b + 3100650*s8a - 
    81984000*s8b - 13440000*s8c + 13440000*s8d + 225792000*li6half*z2 + 
    37632000*li5half*ln2*z2 + 100128000*s6*z2 - 34944000*li4half*z2^2 - 
    6552000*ln2^4*z2^2 - 2133600*ln2^2*z2^3 - 44095976*z2^4 - 
    116256000*li5half*z3 + 44688000*li4half*ln2*z3 + 2830800*ln2^5*z3 - 
    1456000*ln2^3*z2*z3 - 60681600*ln2*z2^2*z3 - 14038500*ln2^2*z3^2 - 
    49161000*z2*z3^2 - 82026000*ln2^3*z5 - 126567000*ln2*z2*z5 + 
    212291625*z3*z5 + 335606250*ln2*z7)/9408000, 
 H[-1, 0, 1, -1, -1, 0, 0, 0, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 + 
    3513600*ln2^2*s6 - 1497600*ln2*s7a + 115200*ln2*s7b - 6925275*s8a - 
    36086400*s8b - 4032000*s8c - 5644800*s8d + 806400*li4half*ln2^2*z2 + 
    33600*ln2^6*z2 + 15624000*s6*z2 + 181440*li4half*z2^2 - 
    93240*ln2^4*z2^2 - 2239200*ln2^2*z2^3 + 907044*z2^4 + 
    12499200*li5half*z3 - 1209600*li4half*ln2*z3 - 154560*ln2^5*z3 + 
    1344000*ln2^3*z2*z3 + 6947280*ln2*z2^2*z3 - 1305000*ln2^2*z3^2 + 
    5336100*z2*z3^2 - 1562400*ln2^3*z5 + 11341800*ln2*z2*z5 - 
    20035575*z3*z5 - 853875*ln2*z7)/403200, 
 H[-1, 0, 1, -1, -1, 0, 0, -1, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    18547200*ln2^2*s6 - 18950400*ln2*s7a - 2016000*ln2*s7b - 16787925*s8a - 
    169646400*s8b + 806400*s8c - 34675200*s8d + 67737600*li6half*z2 - 
    5644800*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 94080*ln2^6*z2 + 
    118742400*s6*z2 + 10281600*li4half*z2^2 + 1369200*ln2^4*z2^2 - 
    16894080*ln2^2*z2^3 - 7918152*z2^4 + 43948800*li5half*z3 - 
    26812800*li4half*ln2*z3 - 1483440*ln2^5*z3 + 6132000*ln2^3*z2*z3 + 
    26024040*ln2*z2^2*z3 - 23801400*ln2^2*z3^2 - 4331250*z2*z3^2 - 
    16405200*ln2^3*z5 + 16291800*ln2*z2*z5 - 36398250*z3*z5 + 
    33040350*ln2*z7)/5644800, H[-1, 0, 1, -1, -1, 0, -1, 1, 1] -> 
  (225792000*li4half^2 - 5419008000*li7half*ln2 - 1354752000*li6half*ln2^2 + 
    18816000*li4half*ln2^4 - 414400*ln2^8 + 387072000*ln2^2*s6 - 
    1062432000*ln2*s7a + 1393056000*ln2*s7b + 157906350*s8a + 174384000*s8b - 
    32256000*s8c + 201600000*s8d + 1354752000*li6half*z2 + 
    818496000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 3057600*ln2^6*z2 + 
    203616000*s6*z2 - 92332800*li4half*z2^2 - 98632800*ln2^4*z2^2 - 
    184111200*ln2^2*z2^3 - 340255224*z2^4 - 1186416000*li5half*z3 + 
    77616000*li4half*ln2*z3 + 13120800*ln2^5*z3 + 61656000*ln2^3*z2*z3 - 
    776538000*ln2*z2^2*z3 - 966955500*ln2^2*z3^2 - 378220500*z2*z3^2 - 
    2378754000*ln2^3*z5 - 4565106000*ln2*z2*z5 + 1990973250*z3*z5 + 
    12295639125*ln2*z7)/56448000, H[-1, 0, 1, -1, -1, 0, -1, 0, 1] -> 
  (-4515840*li4half^2 - 376320*li4half*ln2^4 - 7840*ln2^8 + 
    2204160*ln2^2*s6 - 1935360*ln2*s7a - 1935360*ln2*s7b - 2710575*s8a - 
    12922560*s8b - 537600*s8c - 3978240*s8d - 4515840*li6half*z2 - 
    1505280*li5half*ln2*z2 + 2257920*li4half*ln2^2*z2 + 100352*ln2^6*z2 + 
    7109760*s6*z2 + 2196096*li4half*z2^2 - 222096*ln2^4*z2^2 - 
    2074464*ln2^2*z2^3 + 1966592*z2^4 + 12848640*li5half*z3 - 
    3951360*li4half*ln2*z3 - 271712*ln2^5*z3 + 2623040*ln2^3*z2*z3 + 
    6152664*ln2*z2^2*z3 - 2343600*ln2^2*z3^2 + 3077130*z2*z3^2 + 
    7727160*ln2*z2*z5 - 20435730*z3*z5 - 16166955*ln2*z7)/376320, 
 H[-1, 0, 1, -1, -1, 0, -1, -1, 1] -> 
  (-197568000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    225792000*li6half*ln2^2 - 16464000*li4half*ln2^4 - 275800*ln2^8 - 
    725424000*ln2^2*s6 + 329952000*ln2*s7a - 601440000*ln2*s7b + 
    1588039950*s8a + 9951648000*s8b + 1106112000*s8c + 869568000*s8d - 
    131712000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1372000*ln2^6*z2 - 
    2726976000*s6*z2 + 320678400*li4half*z2^2 + 11205600*ln2^4*z2^2 + 
    64159200*ln2^2*z2^3 - 297776928*z2^4 - 1675632000*li5half*z3 - 
    246960000*li4half*ln2*z3 + 3673600*ln2^5*z3 - 76132000*ln2^3*z2*z3 - 
    963933600*ln2*z2^2*z3 + 197799000*ln2^2*z3^2 - 1202523000*z2*z3^2 + 
    902286000*ln2^3*z5 - 1406223000*ln2*z2*z5 + 1178430750*z3*z5 - 
    4843825875*ln2*z7)/18816000, H[-1, 0, 1, -1, -1, -1, 1, 1, 1] -> 
  (28224000*li4half^2 + 1128960000*li8half - 112896000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 47040000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 
    471800*ln2^8 + 212688000*ln2^2*s6 - 6048000*ln2*s7a - 76608000*ln2*s7b - 
    325595025*s8a - 647640000*s8b - 385056000*s8c + 74592000*s8d + 
    84672000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 705600*ln2^6*z2 - 8064000*s6*z2 + 
    10684800*li4half*z2^2 - 9962400*ln2^4*z2^2 - 212083200*ln2^2*z2^3 - 
    191688624*z2^4 - 290304000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    1831200*ln2^5*z3 + 95760000*ln2^3*z2*z3 + 213733800*ln2*z2^2*z3 + 
    110754000*ln2^2*z3^2 + 260127000*z2*z3^2 + 182280000*ln2^3*z5 + 
    1368738000*ln2*z2*z5 - 102729375*z3*z5 - 91743750*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, -1, -1, 1, 0, 1] -> 
  (33868800*li4half^2 - 903168000*li8half - 90316800*li7half*ln2 + 
    2822400*li4half*ln2^4 + 54320*ln2^8 + 1411200*ln2^2*s6 + 
    6451200*ln2*s7a - 10483200*ln2*s7b - 63852075*s8a - 842587200*s8b - 
    15724800*s8c - 91526400*s8d - 33868800*li6half*z2 + 
    16934400*li5half*ln2*z2 + 36691200*li4half*ln2^2*z2 + 1591520*ln2^6*z2 + 
    222566400*s6*z2 - 46811520*li4half*z2^2 - 6466320*ln2^4*z2^2 + 
    34080480*ln2^2*z2^3 + 82920384*z2^4 + 211276800*li5half*z3 + 
    39513600*li4half*ln2*z3 - 114240*ln2^5*z3 + 21487200*ln2^3*z2*z3 + 
    53537400*ln2*z2^2*z3 + 10275300*ln2^2*z3^2 + 48661200*z2*z3^2 + 
    16405200*ln2^3*z5 + 91816200*ln2*z2*z5 + 29236725*z3*z5 - 
    35314650*ln2*z7)/11289600, H[-1, 0, 1, -1, -1, -1, 1, -1, 1] -> 
  (155232000*li4half^2 - 28224000*li8half + 23520000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 23800*ln2^8 - 127008000*ln2^2*s6 + 
    46368000*ln2*s7a + 116928000*ln2*s7b + 263388825*s8a + 1509480000*s8b + 
    161280000*s8c + 184464000*s8d + 14112000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 333200*ln2^6*z2 - 541800000*s6*z2 - 
    76003200*li4half*z2^2 - 12163200*ln2^4*z2^2 + 112795200*ln2^2*z2^3 + 
    25940052*z2^4 - 390096000*li5half*z3 + 169344000*li4half*ln2*z3 + 
    10306800*ln2^5*z3 - 74844000*ln2^3*z2*z3 - 340981200*ln2*z2^2*z3 + 
    35280000*ln2^2*z3^2 - 189756000*z2*z3^2 - 125317500*ln2^3*z5 - 
    759622500*ln2*z2*z5 + 483438375*z3*z5 + 216798750*ln2*z7)/28224000, 
 H[-1, 0, 1, -1, -1, -1, 0, 1, 1] -> 
  (-112896000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    225792000*li6half*ln2^2 - 9408000*li4half*ln2^4 - 128800*ln2^8 - 
    832608000*ln2^2*s6 + 163296000*ln2*s7a - 217728000*ln2*s7b + 
    1638483525*s8a + 9895032000*s8b + 1268064000*s8c + 707616000*s8d - 
    338688000*li6half*z2 - 169344000*li5half*ln2*z2 + 627200*ln2^6*z2 - 
    2635920000*s6*z2 + 224784000*li4half*z2^2 + 12894000*ln2^4*z2^2 + 
    228564000*ln2^2*z2^3 - 161853696*z2^4 - 1309392000*li5half*z3 - 
    127008000*li4half*ln2*z3 + 5619600*ln2^5*z3 - 177912000*ln2^3*z2*z3 - 
    1101529800*ln2*z2^2*z3 - 36603000*ln2^2*z3^2 - 1149498000*z2*z3^2 + 
    369117000*ln2^3*z5 - 2790207000*ln2*z2*z5 + 594507375*z3*z5 - 
    3007635750*ln2*z7)/56448000, H[-1, 0, 1, -1, -1, -1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    63504000*ln2^2*s6 - 5040000*ln2*s7a + 30240000*ln2*s7b - 139625325*s8a - 
    659988000*s8b - 116928000*s8c - 38304000*s8d + 28224000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 490000*ln2^6*z2 + 
    148932000*s6*z2 - 15069600*li4half*z2^2 + 7310100*ln2^4*z2^2 - 
    15447600*ln2^2*z2^3 - 28980792*z2^4 + 48384000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 109200*ln2^5*z3 - 8316000*ln2^3*z2*z3 + 
    95697000*ln2*z2^2*z3 + 10143000*ln2^2*z3^2 + 103792500*z2*z3^2 - 
    34177500*ln2^3*z5 + 246298500*ln2*z2*z5 - 66677625*z3*z5 + 
    268647750*ln2*z7)/14112000, H[-1, 0, 1, -1, -1, -1, 0, -1, 1] -> 
  (14112000*li4half^2 - 4515840000*li8half - 903168000*li7half*ln2 + 
    1176000*li4half*ln2^4 + 91700*ln2^8 + 665280000*ln2^2*s6 - 
    224784000*ln2*s7a + 135072000*ln2*s7b - 1430892225*s8a - 9867312000*s8b - 
    880992000*s8c - 995904000*s8d - 28224000*li6half*z2 + 
    127008000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 39200*ln2^6*z2 + 
    2863224000*s6*z2 - 204825600*li4half*z2^2 + 7165200*ln2^4*z2^2 - 
    70005600*ln2^2*z2^3 + 290902824*z2^4 + 1914192000*li5half*z3 - 
    35280000*li4half*ln2*z3 - 17421600*ln2^5*z3 + 126000000*ln2^3*z2*z3 + 
    1165878000*ln2*z2^2*z3 - 157090500*ln2^2*z3^2 + 1057203000*z2*z3^2 - 
    348610500*ln2^3*z5 + 2224593000*ln2*z2*z5 - 1130826375*z3*z5 + 
    2025056250*ln2*z7)/28224000, H[-1, 0, 1, -1, -1, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 282240000*li8half + 56448000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 - 243600*ln2^8 + 71568000*ln2^2*s6 - 
    14112000*ln2*s7a - 70560000*ln2*s7b - 46445175*s8a - 315000000*s8b + 
    26208000*s8c - 68544000*s8d - 169344000*li6half*z2 + 
    14112000*li4half*ln2^2*z2 + 980000*ln2^6*z2 + 87696000*s6*z2 + 
    17337600*li4half*z2^2 - 3981600*ln2^4*z2^2 + 17740800*ln2^2*z2^3 + 
    72293112*z2^4 + 108864000*li5half*z3 - 84672000*li4half*ln2*z3 - 
    4435200*ln2^5*z3 + 30240000*ln2^3*z2*z3 + 102072600*ln2*z2^2*z3 - 
    80199000*ln2^2*z3^2 + 52668000*z2*z3^2 - 13671000*ln2^3*z5 + 
    130410000*ln2*z2*z5 - 163351125*z3*z5 - 567952875*ln2*z7)/56448000, 
 H[-1, 0, 1, -1, -1, -1, -1, 0, 1] -> 
  (-84672000*li4half^2 + 2257920000*li8half + 225792000*li7half*ln2 - 
    7056000*li4half*ln2^4 - 135800*ln2^8 - 45360000*ln2^2*s6 - 
    2016000*ln2*s7a + 40320000*ln2*s7b + 292951575*s8a + 2619288000*s8b + 
    94752000*s8c + 272160000*s8d + 225792000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 392000*ln2^6*z2 - 
    671328000*s6*z2 + 109468800*li4half*z2^2 - 12373200*ln2^4*z2^2 - 
    98229600*ln2^2*z2^3 - 228148488*z2^4 - 537264000*li5half*z3 - 
    56448000*li4half*ln2*z3 + 2125200*ln2^5*z3 + 11676000*ln2^3*z2*z3 - 
    241126200*ln2*z2^2*z3 - 15844500*ln2^2*z3^2 - 207553500*z2*z3^2 - 
    41013000*ln2^3*z5 - 552636000*ln2*z2*z5 + 3551625*z3*z5 + 
    248865750*ln2*z7)/56448000, H[-1, 0, 1, -1, -1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 - 225792000*li8half - 169344000*li7half*ln2 - 
    141120000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 + 96600*ln2^8 + 34272000*ln2^2*s6 - 
    98784000*ln2*s7a - 70560000*ln2*s7b - 84741300*s8a - 1000944000*s8b - 
    12096000*s8c - 114912000*s8d + 28224000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 901600*ln2^6*z2 + 293328000*s6*z2 + 
    44755200*li4half*z2^2 + 4804800*ln2^4*z2^2 - 40572000*ln2^2*z2^3 - 
    38915208*z2^4 + 215712000*li5half*z3 - 155232000*li4half*ln2*z3 - 
    8265600*ln2^5*z3 + 56784000*ln2^3*z2*z3 + 167202000*ln2*z2^2*z3 - 
    73710000*ln2^2*z3^2 + 39501000*z2*z3^2 + 41013000*ln2^3*z5 + 
    242676000*ln2*z2*z5 + 84136500*z3*z5 + 409964625*ln2*z7)/56448000, 
 H[-1, 0, 0, 1, 1, 1, 1, 1, 1] -> (672000*li4half^2 - 1344000*li8half - 
    1344000*li7half*ln2 - 672000*li6half*ln2^2 - 224000*li5half*ln2^3 - 
    168000*ln2^2*s6 + 336000*ln2*s7a + 201600*s8a + 2016000*s8b + 
    336000*s8d + 672000*li6half*z2 + 672000*li5half*ln2*z2 - 1008000*s6*z2 + 
    67200*li4half*z2^2 + 2800*ln2^4*z2^2 + 50400*ln2^2*z2^3 + 80256*z2^4 - 
    1848000*li5half*z3 + 5600*ln2^5*z3 - 56000*ln2^3*z2*z3 - 
    520800*ln2*z2^2*z3 + 210000*ln2^2*z3^2 + 126000*z2*z3^2 + 
    217000*ln2^3*z5 - 336000*ln2*z2*z5 + 249375*z3*z5 + 1021125*ln2*z7)/
   672000, H[-1, 0, 0, 1, 1, 1, 1, 0, 1] -> 
  (-288000*li4half^2 - 24000*li4half*ln2^4 - 500*ln2^8 + 144000*ln2^2*s6 - 
    288000*ln2*s7a - 288000*ln2*s7b + 184725*s8a - 720000*s8b + 288000*s8c - 
    288000*s8d - 288000*li6half*z2 - 288000*li5half*ln2*z2 + 2000*ln2^6*z2 + 
    648000*s6*z2 - 86400*li4half*z2^2 - 3600*ln2^4*z2^2 - 36000*ln2^2*z2^3 + 
    17496*z2^4 + 1152000*li5half*z3 + 72000*li4half*ln2*z3 - 6600*ln2^5*z3 + 
    36000*ln2^3*z2*z3 + 289800*ln2*z2^2*z3 - 148500*ln2^2*z3^2 - 
    454500*z2*z3^2 - 157500*ln2*z2*z5 + 599625*z3*z5 - 1156500*ln2*z7)/
   288000, H[-1, 0, 0, 1, 1, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 338688000*li8half + 56448000*li7half*ln2 + 
    9408000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 65800*ln2^8 + 
    6048000*ln2^2*s6 - 56448000*ln2*s7a + 68318775*s8a + 99792000*s8b + 
    100800000*s8c - 93744000*s8d - 14112000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 862400*ln2^6*z2 + 183960000*s6*z2 - 
    42739200*li4half*z2^2 + 1129800*ln2^4*z2^2 - 7207200*ln2^2*z2^3 + 
    9819324*z2^4 + 194544000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    1730400*ln2^5*z3 - 26712000*ln2^3*z2*z3 - 18018000*ln2*z2^2*z3 - 
    63126000*ln2^2*z3^2 - 87948000*z2*z3^2 - 50127000*ln2^3*z5 - 
    331947000*ln2*z2*z5 - 158468625*z3*z5 + 110470500*ln2*z7)/28224000, 
 H[-1, 0, 0, 1, 1, 1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    19152000*ln2^2*s6 + 38304000*ln2*s7a + 38304000*ln2*s7b - 33908175*s8a - 
    107352000*s8b - 38304000*s8c + 38304000*s8d - 56448000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 196000*ln2^6*z2 - 
    62496000*s6*z2 + 34473600*li4half*z2^2 + 3200400*ln2^4*z2^2 - 
    957600*ln2^2*z2^3 - 18365808*z2^4 - 41328000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 243600*ln2^5*z3 - 8148000*ln2^3*z2*z3 - 
    9563400*ln2*z2^2*z3 + 17766000*ln2^2*z3^2 + 41958000*z2*z3^2 + 
    116172000*ln2*z2*z5 + 29964375*z3*z5 + 287980875*ln2*z7)/28224000, 
 H[-1, 0, 0, 1, 1, 1, 0, 0, 1] -> (672000*ln2^2*s6 - 1344000*ln2*s7a - 
    1344000*ln2*s7b + 982275*s8a + 4368000*s8b + 1344000*s8c - 1344000*s8d + 
    2688000*s6*z2 + 369600*li4half*z2^2 + 15400*ln2^4*z2^2 - 
    361200*ln2^2*z2^3 + 1151264*z2^4 + 1680000*li5half*z3 - 
    1008000*li4half*ln2*z3 - 56000*ln2^5*z3 + 392000*ln2^3*z2*z3 - 
    323400*ln2*z2^2*z3 - 1281000*ln2^2*z3^2 - 1034250*z2*z3^2 - 
    84000*ln2*z2*z5 - 4627875*z3*z5 - 12920250*ln2*z7)/672000, 
 H[-1, 0, 0, 1, 1, 1, 0, -1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    28224000*ln2^2*s6 - 38304000*ln2*s7a - 38304000*ln2*s7b + 8391600*s8a + 
    239400000*s8b + 20160000*s8c - 20160000*s8d - 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 2548000*ln2^6*z2 + 
    47376000*s6*z2 + 102513600*li4half*z2^2 - 2784600*ln2^4*z2^2 - 
    32835600*ln2^2*z2^3 + 43922856*z2^4 + 54432000*li5half*z3 - 
    183456000*li4half*ln2*z3 - 8097600*ln2^5*z3 + 46284000*ln2^3*z2*z3 + 
    68619600*ln2*z2^2*z3 - 66150000*ln2^2*z3^2 - 6520500*z2*z3^2 + 
    40572000*ln2*z2*z5 - 266206500*z3*z5 - 666028125*ln2*z7)/28224000, 
 H[-1, 0, 0, 1, 1, 1, -1, 1, 1] -> (-11289600*li4half^2 + 11289600*li8half + 
    33868800*li7half*ln2 + 16934400*li6half*ln2^2 - 470400*li4half*ln2^4 + 
    17080*ln2^8 + 7358400*ln2^2*s6 + 16531200*ln2*s7a + 5241600*ln2*s7b - 
    43498350*s8a - 151603200*s8b - 49190400*s8c + 15321600*s8d - 
    16934400*li6half*z2 + 11289600*li5half*ln2*z2 + 
    11289600*li4half*ln2^2*z2 + 15680*ln2^6*z2 - 13003200*s6*z2 + 
    9838080*li4half*z2^2 + 104160*ln2^4*z2^2 + 267120*ln2^2*z2^3 - 
    14271048*z2^4 - 37699200*li5half*z3 - 8467200*li4half*ln2*z3 + 
    43680*ln2^5*z3 + 6619200*ln2^3*z2*z3 + 15442560*ln2*z2^2*z3 + 
    22906800*ln2^2*z3^2 + 44654400*z2*z3^2 + 10936800*ln2^3*z5 + 
    132703200*ln2*z2*z5 + 13683600*z3*z5 + 23610825*ln2*z7)/5644800, 
 H[-1, 0, 0, 1, 1, 1, -1, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    53424000*ln2^2*s6 - 41328000*ln2*s7a - 62496000*ln2*s7b + 191505825*s8a + 
    798588000*s8b + 189504000*s8c - 6048000*s8d + 14112000*li6half*z2 + 
    19600*ln2^6*z2 - 93744000*s6*z2 - 4384800*li4half*z2^2 - 
    6650700*ln2^4*z2^2 + 13595400*ln2^2*z2^3 + 42025212*z2^4 + 
    12096000*li5half*z3 - 24696000*li4half*ln2*z3 - 1129800*ln2^5*z3 + 
    9240000*ln2^3*z2*z3 - 87771600*ln2*z2^2*z3 - 58243500*ln2^2*z3^2 - 
    168588000*z2*z3^2 + 20506500*ln2^3*z5 - 384268500*ln2*z2*z5 + 
    67354875*z3*z5 - 462459375*ln2*z7)/14112000, 
 H[-1, 0, 0, 1, 1, 1, -1, -1, 1] -> 
  (-127008000*li4half^2 + 790272000*li8half - 169344000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 12936000*li4half*ln2^4 - 422100*ln2^8 - 
    187488000*ln2^2*s6 - 58464000*ln2*s7a - 72576000*ln2*s7b + 
    597414825*s8a + 3354120000*s8b + 463680000*s8c + 248976000*s8d - 
    14112000*li5half*ln2*z2 + 77616000*li4half*ln2^2*z2 + 5037200*ln2^6*z2 - 
    854280000*s6*z2 + 147873600*li4half*z2^2 - 14095200*ln2^4*z2^2 + 
    24015600*ln2^2*z2^3 - 13549428*z2^4 - 490896000*li5half*z3 - 
    218736000*li4half*ln2*z3 - 5434800*ln2^5*z3 - 3276000*ln2^3*z2*z3 - 
    352195200*ln2*z2^2*z3 - 142254000*ln2^2*z3^2 - 478296000*z2*z3^2 + 
    13671000*ln2^3*z5 - 1190637000*ln2*z2*z5 + 508622625*z3*z5 - 
    619463250*ln2*z7)/28224000, H[-1, 0, 0, 1, 1, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    13104000*ln2^2*s6 - 26208000*ln2*s7a - 12096000*ln2*s7b - 2058525*s8a + 
    16632000*s8b + 12096000*s8c - 26208000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 + 66528000*s6*z2 - 1713600*li4half*z2^2 - 
    953400*ln2^4*z2^2 - 4813200*ln2^2*z2^3 + 19859976*z2^4 + 
    80640000*li5half*z3 + 3528000*li4half*ln2*z3 - 525000*ln2^5*z3 + 
    5838000*ln2^3*z2*z3 + 19643400*ln2*z2^2*z3 - 14836500*ln2^2*z3^2 - 
    23845500*z2*z3^2 - 9114000*ln2^3*z5 - 78372000*ln2*z2*z5 - 
    76363875*z3*z5 - 136024875*ln2*z7)/14112000, 
 H[-1, 0, 0, 1, 1, 0, 1, 0, 1] -> (8064000*li4half^2 + 672000*li4half*ln2^4 + 
    14000*ln2^8 - 4032000*ln2^2*s6 + 8064000*ln2*s7a + 8064000*ln2*s7b - 
    4784850*s8a - 17640000*s8b - 8064000*s8c + 8064000*s8d - 
    4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 - 17136000*s6*z2 - 
    3528000*li4half*z2^2 + 357000*ln2^4*z2^2 + 2494800*ln2^2*z2^3 - 
    5310876*z2^4 - 24192000*li5half*z3 + 6048000*li4half*ln2*z3 + 
    453600*ln2^5*z3 - 3528000*ln2^3*z2*z3 - 1625400*ln2*z2^2*z3 + 
    7686000*ln2^2*z3^2 + 7717500*z2*z3^2 + 2457000*ln2*z2*z5 + 
    26381250*z3*z5 + 68709375*ln2*z7)/2016000, 
 H[-1, 0, 0, 1, 1, 0, 1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    672000*ln2^2*s6 + 14112000*ln2*s7a + 9408000*ln2*s7b - 6010725*s8a + 
    40068000*s8b - 26880000*s8c + 45696000*s8d + 14112000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 176400*ln2^6*z2 - 100800000*s6*z2 + 
    554400*li4half*z2^2 - 1446900*ln2^4*z2^2 + 9933000*ln2^2*z2^3 - 
    21975396*z2^4 - 100800000*li5half*z3 + 1176000*li4half*ln2*z3 + 
    889000*ln2^5*z3 - 2520000*ln2^3*z2*z3 - 18333000*ln2*z2^2*z3 + 
    17304000*ln2^2*z3^2 + 16632000*z2*z3^2 + 3038000*ln2^3*z5 + 
    60905250*ln2*z2*z5 + 120072750*z3*z5 + 97516125*ln2*z7)/4704000, 
 H[-1, 0, 0, 1, 1, 0, 0, 1, 1] -> (-288000*li4half^2 - 24000*li4half*ln2^4 - 
    500*ln2^8 + 72000*ln2^2*s6 - 144000*ln2*s7a - 144000*ln2*s7b - 
    45900*s8a - 144000*s8b + 144000*s8c - 144000*s8d + 
    144000*li4half*ln2^2*z2 + 6000*ln2^6*z2 + 144000*s6*z2 + 
    144000*li4half*z2^2 - 12000*ln2^4*z2^2 - 64800*ln2^2*z2^3 + 57726*z2^4 + 
    576000*li5half*z3 - 216000*li4half*ln2*z3 - 13800*ln2^5*z3 + 
    102000*ln2^3*z2*z3 + 236700*ln2*z2^2*z3 - 184500*ln2^2*z3^2 + 
    72000*z2*z3^2 + 270000*ln2*z2*z5 - 975375*z3*z5 - 754875*ln2*z7)/144000, 
 H[-1, 0, 0, 1, 1, 0, 0, 0, 1] -> 
  (217350*s8a + 840000*s8b - 235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 
    58800*ln2^2*z2^3 + 27036*z2^4 - 609000*ln2*z2^2*z3 - 47250*z2*z3^2 + 
    661500*z3*z5 - 658875*ln2*z7)/336000, H[-1, 0, 0, 1, 1, 0, 0, -1, 1] -> 
  (-403200*li4half^2 - 33600*li4half*ln2^4 - 700*ln2^8 - 201600*ln2^2*s6 + 
    201600*ln2*s7a + 201600*ln2*s7b + 201600*li4half*ln2^2*z2 + 
    8400*ln2^6*z2 - 100800*s6*z2 + 141120*li4half*z2^2 - 19320*ln2^4*z2^2 - 
    40968*z2^4 + 302400*li5half*z3 + 302400*li4half*ln2*z3 + 10080*ln2^5*z3 - 
    50400*ln2^3*z2*z3 - 351540*ln2*z2^2*z3 + 384300*ln2^2*z3^2 - 
    6300*z2*z3^2 - 592200*ln2*z2*z5 - 70875*z3*z5 + 2056950*ln2*z7)/201600, 
 H[-1, 0, 0, 1, 1, 0, -1, 1, 1] -> (-5040000*ln2^2*s6 - 16800000*ln2*s7a - 
    35616000*ln2*s7b + 25936050*s8a + 26544000*s8b + 62496000*s8c - 
    62496000*s8d - 28224000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 
    940800*ln2^6*z2 + 115584000*s6*z2 - 11558400*li4half*z2^2 + 
    4222400*ln2^4*z2^2 - 12885600*ln2^2*z2^3 + 34799028*z2^4 + 
    155568000*li5half*z3 + 9408000*li4half*ln2*z3 - 904400*ln2^5*z3 - 
    1736000*ln2^3*z2*z3 + 31626000*ln2*z2^2*z3 - 30744000*ln2^2*z3^2 - 
    39081000*z2*z3^2 + 18228000*ln2^3*z5 - 83454000*ln2*z2*z5 - 
    174827625*z3*z5 - 219906750*ln2*z7)/9408000, 
 H[-1, 0, 0, 1, 1, 0, -1, 0, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 - 806400*ln2^2*s6 + 
    1612800*ln2*s7a + 1612800*ln2*s7b - 510300*s8a - 1008000*s8b - 
    1612800*s8c + 1612800*s8d - 806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 
    3024000*s6*z2 - 786240*li4half*z2^2 + 68040*ln2^4*z2^2 + 
    519120*ln2^2*z2^3 - 870546*z2^4 - 4435200*li5half*z3 + 
    1612800*li4half*ln2*z3 + 104160*ln2^5*z3 - 772800*ln2^3*z2*z3 - 
    1471680*ln2*z2^2*z3 + 1713600*ln2^2*z3^2 + 875700*z2*z3^2 + 
    100800*ln2*z2*z5 + 5833800*z3*z5 + 11562075*ln2*z7)/403200, 
 H[-1, 0, 0, 1, 1, 0, -1, -1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 + 806400*ln2^2*s6 + 
    1209600*ln2*s7a + 4972800*ln2*s7b - 5730375*s8a - 28358400*s8b - 
    5913600*s8c + 268800*s8d - 2822400*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 
    2284800*s6*z2 - 4462080*li4half*z2^2 + 166880*ln2^4*z2^2 + 
    1004640*ln2^2*z2^3 - 1542864*z2^4 - 67200*li5half*z3 + 
    10348800*li4half*ln2*z3 + 431760*ln2^5*z3 - 2592800*ln2^3*z2*z3 - 
    2343600*ln2*z2^2*z3 + 4960200*ln2^2*z3^2 + 4993800*z2*z3^2 - 
    3645600*ln2^3*z5 + 3603600*ln2*z2*z5 + 2250675*z3*z5 + 41780550*ln2*z7)/
   1881600, H[-1, 0, 0, 1, 1, -1, 1, 1, 1] -> 
  (366912000*li4half^2 - 451584000*li8half + 338688000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    30576000*li4half*ln2^4 + 323400*ln2^8 - 269136000*ln2^2*s6 - 
    28224000*ln2*s7a + 14112000*ln2*s7b + 616051800*s8a + 3303216000*s8b + 
    467712000*s8c + 350784000*s8d - 56448000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 183456000*li4half*ln2^2*z2 - 
    1215200*ln2^6*z2 - 1047312000*s6*z2 - 140112000*li4half*z2^2 - 
    11012400*ln2^4*z2^2 + 165261600*ln2^2*z2^3 + 100808208*z2^4 - 
    362880000*li5half*z3 + 246960000*li4half*ln2*z3 + 14137200*ln2^5*z3 - 
    105504000*ln2^3*z2*z3 - 492181200*ln2*z2^2*z3 - 10867500*ln2^2*z3^2 - 
    594436500*z2*z3^2 - 45570000*ln2^3*z5 - 1457820000*ln2*z2*z5 + 
    1020600000*z3*z5 - 498605625*ln2*z7)/56448000, 
 H[-1, 0, 0, 1, 1, -1, 1, 0, 1] -> 
  (-7056000*li4half^2 - 588000*li4half*ln2^4 - 12250*ln2^8 + 
    22579200*ln2^2*s6 - 4435200*ln2*s7a + 4737600*ln2*s7b - 49511700*s8a - 
    263163600*s8b - 36288000*s8c - 27216000*s8d + 1411200*li6half*z2 + 
    2822400*li5half*ln2*z2 + 3528000*li4half*ln2^2*z2 + 125440*ln2^6*z2 + 
    86360400*s6*z2 - 1103760*li4half*z2^2 + 1306410*ln2^4*z2^2 - 
    11208960*ln2^2*z2^3 - 1641474*z2^4 + 48787200*li5half*z3 - 
    5292000*li4half*ln2*z3 - 627060*ln2^5*z3 + 5594400*ln2^3*z2*z3 + 
    43469370*ln2*z2^2*z3 - 1675800*ln2^2*z3^2 + 39707325*z2*z3^2 - 
    8886150*ln2^3*z5 + 94318875*ln2*z2*z5 - 81240075*z3*z5 + 34831125*ln2*z7)/
   1411200, H[-1, 0, 0, 1, 1, -1, 1, -1, 1] -> 
  (-112896000*li4half^2 - 112896000*li8half - 338688000*li7half*ln2 - 
    37632000*li5half*ln2^3 - 9408000*li4half*ln2^4 + 182000*ln2^8 + 
    441504000*ln2^2*s6 - 189504000*ln2*s7a - 90720000*ln2*s7b - 
    693743400*s8a - 3935232000*s8b - 504000000*s8c - 356832000*s8d + 
    84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 6350400*ln2^6*z2 + 
    1144080000*s6*z2 + 28828800*li4half*z2^2 + 25838400*ln2^4*z2^2 - 
    183556800*ln2^2*z2^3 - 81699624*z2^4 + 671328000*li5half*z3 - 
    218736000*li4half*ln2*z3 - 15531600*ln2^5*z3 + 129444000*ln2^3*z2*z3 + 
    756680400*ln2*z2^2*z3 - 178353000*ln2^2*z3^2 + 550431000*z2*z3^2 - 
    91140000*ln2^3*z5 + 1871982000*ln2*z2*z5 - 873148500*z3*z5 + 
    137962125*ln2*z7)/56448000, H[-1, 0, 0, 1, 1, -1, 0, 1, 1] -> 
  (-169344000*li4half^2 - 14112000*li4half*ln2^4 - 294000*ln2^8 + 
    17136000*ln2^2*s6 + 110880000*ln2*s7a - 86688000*ln2*s7b - 
    169142400*s8a - 720720000*s8b - 143136000*s8c - 26208000*s8d + 
    56448000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2195200*ln2^6*z2 + 87696000*s6*z2 + 
    96364800*li4half*z2^2 + 6367200*ln2^4*z2^2 - 29635200*ln2^2*z2^3 - 
    51426204*z2^4 - 53424000*li5half*z3 - 127008000*li4half*ln2*z3 - 
    4846800*ln2^5*z3 + 35532000*ln2^3*z2*z3 + 123379200*ln2*z2^2*z3 + 
    92799000*ln2^2*z3^2 + 203931000*z2*z3^2 + 191394000*ln2^3*z5 + 
    699489000*ln2*z2*z5 - 186283125*z3*z5 - 299407500*ln2*z7)/28224000, 
 H[-1, 0, 0, 1, 1, -1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    90720000*ln2^2*s6 + 18144000*ln2*s7a - 24192000*ln2*s7b + 199612350*s8a + 
    1042776000*s8b + 145152000*s8c + 108864000*s8d - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 339444000*s6*z2 + 
    13305600*li4half*z2^2 + 1436400*ln2^4*z2^2 + 40332600*ln2^2*z2^3 + 
    2008896*z2^4 - 207144000*li5half*z3 + 10584000*li4half*ln2*z3 + 
    2167200*ln2^5*z3 - 19908000*ln2^3*z2*z3 - 173640600*ln2*z2^2*z3 + 
    6898500*ln2^2*z3^2 - 163603125*z2*z3^2 + 41013000*ln2^3*z5 - 
    363069000*ln2*z2*z5 + 354705750*z3*z5 - 161910000*ln2*z7)/7056000, 
 H[-1, 0, 0, 1, 1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    45360000*ln2^2*s6 + 53424000*ln2*s7a + 39312000*ln2*s7b + 38116575*s8a + 
    408240000*s8b - 16128000*s8c + 100800000*s8d + 14112000*li6half*z2 - 
    14112000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1313200*ln2^6*z2 - 
    242172000*s6*z2 + 50500800*li4half*z2^2 - 2893800*ln2^4*z2^2 + 
    9261000*ln2^2*z2^3 - 28660398*z2^4 - 194544000*li5half*z3 - 
    21168000*li4half*ln2*z3 + 739200*ln2^5*z3 - 8862000*ln2^3*z2*z3 - 
    99609300*ln2*z2^2*z3 + 65961000*ln2^2*z3^2 - 6756750*z2*z3^2 + 
    13671000*ln2^3*z5 - 47250000*ln2*z2*z5 + 192535875*z3*z5 + 
    217350000*ln2*z7)/14112000, H[-1, 0, 0, 1, 1, -1, -1, 1, 1] -> 
  (-32256000*li4half^2 - 258048000*li8half + 112896000*li7half*ln2 + 
    24192000*li6half*ln2^2 - 8064000*li5half*ln2^3 - 2688000*li4half*ln2^4 + 
    16000*ln2^8 + 69552000*ln2^2*s6 + 28224000*ln2*s7a - 50400000*ln2*s7b - 
    194222700*s8a - 1042272000*s8b - 133056000*s8c - 108864000*s8d - 
    24192000*li6half*z2 - 32256000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 - 627200*ln2^6*z2 + 307440000*s6*z2 - 
    1612800*li4half*z2^2 + 6535200*ln2^4*z2^2 - 33825600*ln2^2*z2^3 + 
    24938568*z2^4 + 243936000*li5half*z3 - 16128000*li4half*ln2*z3 - 
    2822400*ln2^5*z3 + 24780000*ln2^3*z2*z3 + 185724000*ln2*z2^2*z3 + 
    33232500*ln2^2*z3^2 + 166477500*z2*z3^2 + 80073000*ln2^3*z5 + 
    584577000*ln2*z2*z5 - 350610750*z3*z5 - 357202125*ln2*z7)/8064000, 
 H[-1, 0, 0, 1, 1, -1, -1, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    176904000*ln2^2*s6 + 52416000*ln2*s7a - 4032000*ln2*s7b + 355365675*s8a + 
    1750896000*s8b + 248976000*s8c + 202608000*s8d - 14112000*li6half*z2 - 
    42336000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1430800*ln2^6*z2 - 
    615132000*s6*z2 - 15220800*li4half*z2^2 - 9160200*ln2^4*z2^2 + 
    87053400*ln2^2*z2^3 - 7539822*z2^4 - 394632000*li5half*z3 + 
    77616000*li4half*ln2*z3 + 6522600*ln2^5*z3 - 54348000*ln2^3*z2*z3 - 
    317356200*ln2*z2^2*z3 + 32051250*ln2^2*z3^2 - 296430750*z2*z3^2 + 
    54684000*ln2^3*z5 - 712813500*ln2*z2*z5 + 747069750*z3*z5 + 
    24538500*ln2*z7)/14112000, H[-1, 0, 0, 1, 1, -1, -1, -1, 1] -> 
  (112896000*li4half^2 + 112896000*li8half - 790272000*li7half*ln2 - 
    112896000*li6half*ln2^2 + 56448000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 - 271600*ln2^8 - 150192000*ln2^2*s6 - 
    56448000*ln2*s7a + 409248000*ln2*s7b + 401524200*s8a + 2450448000*s8b + 
    201600000*s8c + 405216000*s8d - 141120000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 + 2508800*ln2^6*z2 - 1113840000*s6*z2 - 
    20563200*li4half*z2^2 - 28786800*ln2^4*z2^2 + 93895200*ln2^2*z2^3 - 
    67275648*z2^4 - 739872000*li5half*z3 + 268128000*li4half*ln2*z3 + 
    18160800*ln2^5*z3 - 136920000*ln2^3*z2*z3 - 655200000*ln2*z2^2*z3 - 
    9828000*ln2^2*z3^2 - 280854000*z2*z3^2 - 478485000*ln2^3*z5 - 
    1713033000*ln2*z2*z5 + 1074969000*z3*z5 + 3091575375*ln2*z7)/56448000, 
 H[-1, 0, 0, 1, 0, 1, 1, 1, 1] -> (2016000*ln2^2*s6 - 4032000*ln2*s7a + 
    672000*ln2*s7b - 2933175*s8a - 31416000*s8b - 672000*s8c - 4032000*s8d + 
    12768000*s6*z2 - 1881600*li4half*z2^2 - 78400*ln2^4*z2^2 - 
    336000*ln2^2*z2^3 - 544728*z2^4 + 8064000*li5half*z3 - 67200*ln2^5*z3 + 
    672000*ln2^3*z2*z3 + 4137000*ln2*z2^2*z3 - 2520000*ln2^2*z3^2 - 
    819000*z2*z3^2 - 3038000*ln2^3*z5 + 2730000*ln2*z2*z5 + 3189375*z3*z5 + 
    6386625*ln2*z7)/1344000, H[-1, 0, 0, 1, 0, 1, 1, 0, 1] -> 
  (227475*s8a + 1536000*s8b - 168000*s6*z2 + 96000*li4half*z2^2 + 
    4000*ln2^4*z2^2 - 24000*ln2^2*z2^3 + 122876*z2^4 - 405600*ln2*z2^2*z3 + 
    113250*z2*z3^2 + 325500*ln2*z2*z5 - 953625*z3*z5 - 1476000*ln2*z7)/96000, 
 H[-1, 0, 0, 1, 0, 1, 1, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    55036800*ln2^2*s6 + 33062400*ln2*s7a - 9273600*ln2*s7b + 78691725*s8a + 
    493315200*s8b + 43948800*s8c + 60480000*s8d - 11289600*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 - 23520*ln2^6*z2 - 173174400*s6*z2 + 
    18446400*li4half*z2^2 + 1239000*ln2^4*z2^2 + 12211920*ln2^2*z2^3 + 
    2665872*z2^4 - 115315200*li5half*z3 - 1411200*li4half*ln2*z3 + 
    902160*ln2^5*z3 - 3964800*ln2^3*z2*z3 - 77704200*ln2*z2^2*z3 + 
    35147700*ln2^2*z3^2 - 54261900*z2*z3^2 + 34633200*ln2^3*z5 - 
    80923500*ln2*z2*z5 + 122908275*z3*z5 - 170290575*ln2*z7)/5644800, 
 H[-1, 0, 0, 1, 0, 1, 0, 1, 1] -> (-3360000*ln2^2*s6 + 6720000*ln2*s7a + 
    6720000*ln2*s7b - 5634300*s8a + 28392000*s8b - 6720000*s8c + 
    6720000*s8d - 29904000*s6*z2 - 1478400*li4half*z2^2 - 61600*ln2^4*z2^2 + 
    1713600*ln2^2*z2^3 + 1205732*z2^4 - 13440000*li5half*z3 + 
    112000*ln2^5*z3 - 1120000*ln2^3*z2*z3 - 1554000*ln2*z2^2*z3 + 
    4200000*ln2^2*z3^2 + 13786500*z2*z3^2 - 2961000*ln2*z2*z5 - 
    22855875*z3*z5 + 36700125*ln2*z7)/4704000, 
 H[-1, 0, 0, 1, 0, 1, 0, 0, 1] -> 
  (-11650*s8a - 240000*s8b - 38400*li4half*z2^2 - 1600*ln2^4*z2^2 + 
    9600*ln2^2*z2^3 - 24214*z2^4 + 62400*ln2*z2^2*z3 - 13500*z2*z3^2 + 
    182125*z3*z5 + 188250*ln2*z7)/16000, H[-1, 0, 0, 1, 0, 1, 0, -1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 - 
    4032000*ln2*s7a - 4032000*ln2*s7b + 2170350*s8a - 52416000*s8b + 
    8064000*s8c - 8064000*s8d - 11289600*li4half*ln2^2*z2 - 470400*ln2^6*z2 + 
    11188800*s6*z2 - 16994880*li4half*z2^2 + 703080*ln2^4*z2^2 + 
    3341520*ln2^2*z2^3 - 2875458*z2^4 + 16128000*li5half*z3 + 
    19756800*li4half*ln2*z3 + 688800*ln2^5*z3 - 3595200*ln2^3*z2*z3 + 
    3792600*ln2*z2^2*z3 - 6174000*ln2^2*z3^2 - 3865050*z2*z3^2 - 
    2425500*ln2*z2*z5 + 19246500*z3*z5 + 50789025*ln2*z7)/2822400, 
 H[-1, 0, 0, 1, 0, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    108864000*ln2^2*s6 + 16128000*ln2*s7a - 40320000*ln2*s7b - 77743575*s8a - 
    241416000*s8b - 10080000*s8c - 116928000*s8d - 225792000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 + 177408000*s6*z2 + 
    604800*li4half*z2^2 + 613200*ln2^4*z2^2 - 107604000*ln2^2*z2^3 + 
    57665448*z2^4 + 374976000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    4300800*ln2^5*z3 - 14616000*ln2^3*z2*z3 + 152926200*ln2*z2^2*z3 - 
    46557000*ln2^2*z3^2 + 106344000*z2*z3^2 + 54684000*ln2^3*z5 + 
    350658000*ln2*z2*z5 - 727012125*z3*z5 - 252614250*ln2*z7)/28224000, 
 H[-1, 0, 0, 1, 0, 1, -1, 0, 1] -> (6720000*ln2*s7a + 6720000*ln2*s7b - 
    6880650*s8a - 30240000*s8b - 13440000*s8c + 13440000*s8d - 
    18060000*s6*z2 - 722400*li4half*z2^2 - 30100*ln2^4*z2^2 + 
    4338600*ln2^2*z2^3 - 9152389*z2^4 - 26880000*li5half*z3 + 
    11760000*li4half*ln2*z3 + 714000*ln2^5*z3 - 5180000*ln2^3*z2*z3 - 
    3895500*ln2*z2^2*z3 + 10290000*ln2^2*z3^2 + 3556875*z2*z3^2 + 
    20580000*ln2*z2*z5 + 53586750*z3*z5 + 59374875*ln2*z7)/2352000, 
 H[-1, 0, 0, 1, 0, 1, -1, -1, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 - 
    7056000*ln2^2*s6 + 24192000*ln2*s7a + 193536000*ln2*s7b - 217723275*s8a - 
    1195488000*s8b - 203616000*s8c - 8064000*s8d - 56448000*li5half*ln2*z2 - 
    183456000*li4half*ln2^2*z2 - 7173600*ln2^6*z2 + 121968000*s6*z2 - 
    206236800*li4half*z2^2 + 14926800*ln2^4*z2^2 + 51408000*ln2^2*z2^3 - 
    59667984*z2^4 + 44352000*li5half*z3 + 416304000*li4half*ln2*z3 + 
    16976400*ln2^5*z3 - 73920000*ln2^3*z2*z3 - 23549400*ln2*z2^2*z3 + 
    93712500*ln2^2*z3^2 + 183361500*z2*z3^2 - 164052000*ln2^3*z5 + 
    150822000*ln2*z2*z5 + 71780625*z3*z5 + 1611807750*ln2*z7)/28224000, 
 H[-1, 0, 0, 1, 0, 0, 1, 1, 1] -> (-336000*ln2^2*s6 + 672000*ln2*s7a - 
    456960*ln2*s7b + 980805*s8a + 5496960*s8b + 456960*s8c + 672000*s8d - 
    2472960*s6*z2 + 96768*li4half*z2^2 + 4032*ln2^4*z2^2 + 
    110208*ln2^2*z2^3 - 12732*z2^4 - 1344000*li5half*z3 + 11200*ln2^5*z3 - 
    112000*ln2^3*z2*z3 - 654024*ln2*z2^2*z3 + 420000*ln2^2*z3^2 - 
    219240*z2*z3^2 + 729120*ln2^3*z5 + 253680*ln2*z2*z5 + 706965*z3*z5 - 
    2562420*ln2*z7)/188160, H[-1, 0, 0, 1, 0, 0, 1, 0, 1] -> 
  (-269675*s8a - 504000*s8b + 336000*s6*z2 + 268800*li4half*z2^2 + 
    11200*ln2^4*z2^2 - 67200*ln2^2*z2^3 - 69578*z2^4 + 100800*ln2*z2^2*z3 - 
    141750*z2*z3^2 - 651000*ln2*z2*z5 + 349125*z3*z5 + 1336125*ln2*z7)/
   112000, H[-1, 0, 0, 1, 0, 0, 1, -1, 1] -> 
  (24528000*ln2^2*s6 - 8400000*ln2*s7a + 5712000*ln2*s7b - 45045525*s8a - 
    228984000*s8b - 32256000*s8c - 24192000*s8d + 76608000*s6*z2 - 
    2604000*li4half*z2^2 - 108500*ln2^4*z2^2 - 12789000*ln2^2*z2^3 - 
    1192269*z2^4 + 48384000*li5half*z3 - 8232000*li4half*ln2*z3 - 
    746200*ln2^5*z3 + 6090000*ln2^3*z2*z3 + 37128000*ln2*z2^2*z3 - 
    5964000*ln2^2*z3^2 + 34776000*z2*z3^2 - 9114000*ln2^3*z5 + 
    65215500*ln2*z2*z5 - 75663000*z3*z5 + 76369125*ln2*z7)/2352000, 
 H[-1, 0, 0, 1, 0, 0, 0, 1, 1] -> (-99225*s8a - 2688000*s8b + 2016000*s6*z2 - 
    268800*li4half*z2^2 - 11200*ln2^4*z2^2 + 67200*ln2^2*z2^3 + 8124*z2^4 - 
    100800*ln2*z2^2*z3 - 850500*z2*z3^2 - 546000*ln2*z2*z5 + 2480625*z3*z5 - 
    714000*ln2*z7)/336000, H[-1, 0, 0, 1, 0, 0, 0, 0, 1] -> 
  (405*s8a + 4800*s8b + 706*z2^4 - 3825*z3*z5 - 4725*ln2*z7)/320, 
 H[-1, 0, 0, 1, 0, 0, 0, -1, 1] -> (99225*s8a + 5880000*s8b + 1008000*s6*z2 - 
    235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 58800*ln2^2*z2^3 + 1321716*z2^4 - 
    88200*ln2*z2^2*z3 - 425250*z2*z3^2 - 1575000*ln2*z2*z5 - 4142250*z3*z5 - 
    12621000*ln2*z7)/336000, H[-1, 0, 0, 1, 0, 0, -1, 1, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 864000*ln2^2*s6 - 
    5184000*ln2*s7a + 6912000*ln2*s7b - 552825*s8a - 10584000*s8b + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 + 6048000*s6*z2 + 
    403200*li4half*z2^2 - 109200*ln2^4*z2^2 + 2804400*ln2^2*z2^3 - 
    421092*z2^4 - 1987200*ln2*z2^2*z3 - 4212000*ln2^2*z3^2 - 
    2268000*z2*z3^2 - 11718000*ln2^3*z5 - 21548250*ln2*z2*z5 + 
    7938000*z3*z5 + 32203125*ln2*z7)/1008000, 
 H[-1, 0, 0, 1, 0, 0, -1, 0, 1] -> (61425*s8a + 1176000*s8b - 336000*s6*z2 + 
    235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 58800*ln2^2*z2^3 + 37148*z2^4 - 
    100800*ln2*z2^2*z3 + 141750*z2*z3^2 - 853125*z3*z5 - 336000*ln2*z7)/
   112000, H[-1, 0, 0, 1, 0, 0, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    102816000*ln2^2*s6 + 72576000*ln2*s7a - 96768000*ln2*s7b + 
    200328975*s8a + 1173312000*s8b + 145152000*s8c + 108864000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 344736000*s6*z2 + 
    56347200*li4half*z2^2 - 1180200*ln2^4*z2^2 + 16153200*ln2^2*z2^3 + 
    20976516*z2^4 - 217728000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    243600*ln2^5*z3 - 5796000*ln2^3*z2*z3 - 132753600*ln2*z2^2*z3 + 
    54432000*ln2^2*z3^2 - 156492000*z2*z3^2 + 164052000*ln2^3*z5 - 
    182511000*ln2*z2*z5 + 244896750*z3*z5 - 744880500*ln2*z7)/14112000, 
 H[-1, 0, 0, 1, 0, -1, 1, 1, 1] -> 
  (-310464000*li4half^2 - 25872000*li4half*ln2^4 - 539000*ln2^8 - 
    127008000*ln2^2*s6 + 66528000*ln2*s7a - 102816000*ln2*s7b + 
    203200200*s8a + 445032000*s8b + 219744000*s8c - 78624000*s8d + 
    112896000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    3763200*ln2^6*z2 + 37296000*s6*z2 + 131040000*li4half*z2^2 + 
    6048000*ln2^4*z2^2 + 53928000*ln2^2*z2^3 + 26150112*z2^4 + 
    86688000*li5half*z3 - 112896000*li4half*ln2*z3 - 5426400*ln2^5*z3 - 
    12180000*ln2^3*z2*z3 - 81585000*ln2*z2^2*z3 - 220500*ln2^2*z3^2 - 
    123574500*z2*z3^2 + 118482000*ln2^3*z5 - 329427000*ln2*z2*z5 - 
    6166125*z3*z5 - 510835500*ln2*z7)/28224000, 
 H[-1, 0, 0, 1, 0, -1, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    36288000*ln2*s7a + 36288000*ln2*s7b - 44846550*s8a + 76608000*s8b - 
    72576000*s8c + 72576000*s8d - 56448000*li4half*ln2^2*z2 - 
    2352000*ln2^6*z2 - 141624000*s6*z2 - 42991200*li4half*z2^2 + 
    5264700*ln2^4*z2^2 + 10974600*ln2^2*z2^3 - 15223863*z2^4 - 
    145152000*li5half*z3 + 63504000*li4half*ln2*z3 + 3855600*ln2^5*z3 - 
    27972000*ln2^3*z2*z3 - 44055900*ln2*z2^2*z3 + 55566000*ln2^2*z3^2 + 
    44178750*z2*z3^2 + 76954500*ln2*z2*z5 + 94358250*z3*z5 + 
    229635000*ln2*z7)/7056000, H[-1, 0, 0, 1, 0, -1, 1, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    9288000*ln2^2*s6 - 1224000*ln2*s7a + 8856000*ln2*s7b - 17914050*s8a - 
    72576000*s8b - 16128000*s8c - 4032000*s8d + 4032000*li5half*ln2*z2 + 
    5040000*li4half*ln2^2*z2 + 176400*ln2^6*z2 + 18144000*s6*z2 - 
    6249600*li4half*z2^2 - 1688400*ln2^4*z2^2 - 3204000*ln2^2*z2^3 - 
    62028*z2^4 + 6048000*li5half*z3 + 4284000*li4half*ln2*z3 + 
    128100*ln2^5*z3 + 2835000*ln2^3*z2*z3 + 6015600*ln2*z2^2*z3 + 
    738000*ln2^2*z3^2 + 15372000*z2*z3^2 - 8137500*ln2^3*z5 + 
    11958750*ln2*z2*z5 - 21774375*z3*z5 + 54490500*ln2*z7)/1008000, 
 H[-1, 0, 0, 1, 0, -1, 0, 1, 1] -> (6048000*ln2^2*s6 - 12096000*ln2*s7a - 
    12096000*ln2*s7b + 7356825*s8a - 15120000*s8b + 12096000*s8c - 
    12096000*s8d + 47712000*s6*z2 - 3124800*li4half*z2^2 - 
    130200*ln2^4*z2^2 - 1638000*ln2^2*z2^3 + 5672992*z2^4 + 
    24192000*li5half*z3 - 201600*ln2^5*z3 + 2016000*ln2^3*z2*z3 + 
    5178600*ln2*z2^2*z3 - 7560000*ln2^2*z3^2 - 24507000*z2*z3^2 - 
    33831000*ln2*z2*z5 + 17955000*z3*z5 - 74872875*ln2*z7)/4704000, 
 H[-1, 0, 0, 1, 0, -1, 0, 0, 1] -> (75600*s8a - 235200*li4half*z2^2 - 
    9800*ln2^4*z2^2 + 58800*ln2^2*z2^3 + 105736*z2^4 - 63000*ln2*z2^2*z3 + 
    94500*z2*z3^2 - 380625*z3*z5 - 317625*ln2*z7)/112000, 
 H[-1, 0, 0, 1, 0, -1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    36288000*ln2*s7a + 36288000*ln2*s7b - 42553350*s8a + 76608000*s8b - 
    72576000*s8c + 72576000*s8d - 56448000*li4half*ln2^2*z2 - 
    2352000*ln2^6*z2 - 109872000*s6*z2 - 58161600*li4half*z2^2 + 
    4632600*ln2^4*z2^2 + 22705200*ln2^2*z2^3 + 1144734*z2^4 - 
    145152000*li5half*z3 + 98784000*li4half*ln2*z3 + 5325600*ln2^5*z3 - 
    36792000*ln2^3*z2*z3 - 29370600*ln2*z2^2*z3 + 55566000*ln2^2*z3^2 + 
    35248500*z2*z3^2 + 61519500*ln2*z2*z5 + 62275500*z3*z5 + 28594125*ln2*z7)/
   14112000, H[-1, 0, 0, 1, 0, -1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    42840000*ln2^2*s6 - 36288000*ln2*s7a + 13104000*ln2*s7b + 54690300*s8a - 
    16128000*s8b + 52416000*s8c - 24192000*s8d + 56448000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 - 176400*ln2^6*z2 + 87192000*s6*z2 + 
    24796800*li4half*z2^2 + 7501200*ln2^4*z2^2 + 36439200*ln2^2*z2^3 - 
    7024032*z2^4 + 13104000*li5half*z3 - 21168000*li4half*ln2*z3 - 
    991200*ln2^5*z3 - 17430000*ln2^3*z2*z3 - 31985100*ln2*z2^2*z3 - 
    12048750*ln2^2*z3^2 - 81317250*z2*z3^2 - 36456000*ln2^3*z5 - 
    242707500*ln2*z2*z5 + 183424500*z3*z5 + 69748875*ln2*z7)/14112000, 
 H[-1, 0, 0, 1, 0, -1, -1, 0, 1] -> (-90300*s8a + 873600*s8b - 336000*s6*z2 + 
    33600*li4half*z2^2 + 1400*ln2^4*z2^2 - 8400*ln2^2*z2^3 + 142006*z2^4 - 
    70560*ln2*z2^2*z3 + 321300*z2*z3^2 + 325500*ln2*z2*z5 - 1351875*z3*z5 - 
    866250*ln2*z7)/134400, H[-1, 0, 0, 1, 0, -1, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    56952000*ln2^2*s6 + 72576000*ln2*s7a - 33264000*ln2*s7b + 90740475*s8a + 
    665280000*s8b + 39312000*s8c + 101808000*s8d - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 274176000*s6*z2 + 
    2368800*li4half*z2^2 + 1862700*ln2^4*z2^2 + 20827800*ln2^2*z2^3 + 
    835416*z2^4 - 203616000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    2725800*ln2^5*z3 - 23142000*ln2^3*z2*z3 - 88962300*ln2*z2^2*z3 + 
    61929000*ln2^2*z3^2 - 60464250*z2*z3^2 + 91140000*ln2^3*z5 - 
    25956000*ln2*z2*z5 + 198095625*z3*z5 - 327529125*ln2*z7)/14112000, 
 H[-1, 0, 0, 1, -1, 1, 1, 1, 1] -> 
  (-366912000*li4half^2 + 564480000*li8half - 225792000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    25872000*li4half*ln2^4 - 460600*ln2^8 + 266112000*ln2^2*s6 - 
    24192000*ln2*s7a - 235872000*ln2*s7b - 432239850*s8a - 2563344000*s8b - 
    258048000*s8c - 376992000*s8d - 56448000*li6half*z2 + 
    282240000*li5half*ln2*z2 + 155232000*li4half*ln2^2*z2 + 
    1920800*ln2^6*z2 + 958608000*s6*z2 + 81244800*li4half*z2^2 + 
    8442000*ln2^4*z2^2 - 172821600*ln2^2*z2^3 - 54544176*z2^4 + 
    641088000*li5half*z3 - 148176000*li4half*ln2*z3 - 11516400*ln2^5*z3 + 
    90468000*ln2^3*z2*z3 + 536558400*ln2*z2^2*z3 + 19278000*ln2^2*z3^2 + 
    310842000*z2*z3^2 + 246078000*ln2^3*z5 + 1325016000*ln2*z2*z5 - 
    802761750*z3*z5 - 778483125*ln2*z7)/56448000, 
 H[-1, 0, 0, 1, -1, 1, 1, 0, 1] -> 
  (2257920*li4half^2 + 188160*li4half*ln2^4 + 3920*ln2^8 - 5644800*ln2^2*s6 + 
    1451520*ln2*s7a - 947520*ln2*s7b + 11723670*s8a + 59865120*s8b + 
    8386560*s8c + 6007680*s8d + 846720*li6half*z2 + 282240*li5half*ln2*z2 - 
    987840*li4half*ln2^2*z2 - 42336*ln2^6*z2 - 18965520*s6*z2 - 
    19152*li4half*z2^2 - 206598*ln2^4*z2^2 + 2638692*ln2^2*z2^3 + 
    266265*z2^4 - 12579840*li5half*z3 + 1411200*li4half*ln2*z3 + 
    163632*ln2^5*z3 - 1401120*ln2^3*z2*z3 - 10591056*ln2*z2^2*z3 + 
    635040*ln2^2*z3^2 - 8933715*z2*z3^2 + 2324070*ln2^3*z5 - 
    21686175*ln2*z2*z5 + 18927090*z3*z5 - 8068725*ln2*z7)/282240, 
 H[-1, 0, 0, 1, -1, 1, 1, -1, 1] -> 
  (338688000*li4half^2 - 1128960000*li8half + 225792000*li7half*ln2 - 
    18816000*li5half*ln2^3 + 23520000*li4half*ln2^4 + 476000*ln2^8 - 
    74592000*ln2^2*s6 + 165312000*ln2*s7a + 292320000*ln2*s7b - 
    131729850*s8a - 316512000*s8b - 181440000*s8c + 12096000*s8d + 
    197568000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    4390400*ln2^6*z2 + 60480000*s6*z2 - 241718400*li4half*z2^2 - 
    36825600*ln2^4*z2^2 + 152762400*ln2^2*z2^3 + 201703464*z2^4 - 
    122976000*li5half*z3 + 303408000*li4half*ln2*z3 + 13666800*ln2^5*z3 - 
    43764000*ln2^3*z2*z3 - 269110800*ln2*z2^2*z3 + 232155000*ln2^2*z3^2 + 
    158571000*z2*z3^2 - 164052000*ln2^3*z5 - 413154000*ln2*z2*z5 - 
    154995750*z3*z5 + 39477375*ln2*z7)/56448000, 
 H[-1, 0, 0, 1, -1, 1, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    806400*ln2^2*s6 - 16128000*ln2*s7a + 34675200*ln2*s7b + 7550550*s8a + 
    67183200*s8b + 2419200*s8c + 14515200*s8d + 16934400*li6half*z2 - 
    22579200*li5half*ln2*z2 - 4233600*li4half*ln2^2*z2 + 35280*ln2^6*z2 - 
    25502400*s6*z2 - 6552000*li4half*z2^2 - 2331000*ln2^4*z2^2 + 
    4883760*ln2^2*z2^3 - 2436306*z2^4 - 14918400*li5half*z3 + 
    9878400*li4half*ln2*z3 + 535920*ln2^5*z3 - 3712800*ln2^3*z2*z3 - 
    19207440*ln2*z2^2*z3 - 17677800*ln2^2*z3^2 - 8694000*z2*z3^2 - 
    49215600*ln2^3*z5 - 92005200*ln2*z2*z5 + 16909200*z3*z5 + 
    167335875*ln2*z7)/2822400, H[-1, 0, 0, 1, -1, 1, 0, 0, 1] -> 
  (60480000*ln2^2*s6 - 12096000*ln2*s7a + 16128000*ln2*s7b - 131549775*s8a - 
    684600000*s8b - 96768000*s8c - 72576000*s8d + 223944000*s6*z2 - 
    16749600*li4half*z2^2 - 697900*ln2^4*z2^2 - 24918600*ln2^2*z2^3 - 
    627049*z2^4 + 145152000*li5half*z3 + 3528000*li4half*ln2*z3 - 
    1062600*ln2^5*z3 + 11214000*ln2^3*z2*z3 + 108057600*ln2*z2^2*z3 - 
    1512000*ln2^2*z3^2 + 105210000*z2*z3^2 - 27342000*ln2^3*z5 + 
    242046000*ln2*z2*z5 - 228844875*z3*z5 + 107811375*ln2*z7)/2352000, 
 H[-1, 0, 0, 1, -1, 1, 0, -1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 - 
    5644800*ln2^2*s6 + 1612800*ln2*s7a - 4032000*ln2*s7b + 2170350*s8a - 
    52416000*s8b + 8064000*s8c - 8064000*s8d + 8467200*li6half*z2 + 
    11289600*li5half*ln2*z2 - 9878400*li4half*ln2^2*z2 - 493920*ln2^6*z2 + 
    15069600*s6*z2 - 17700480*li4half*z2^2 + 1085280*ln2^4*z2^2 + 
    6058080*ln2^2*z2^3 - 3736668*z2^4 + 10483200*li5half*z3 + 
    26812800*li4half*ln2*z3 + 1029840*ln2^5*z3 - 5829600*ln2^3*z2*z3 - 
    1693440*ln2*z2^2*z3 + 882000*ln2^2*z3^2 - 5210100*z2*z3^2 + 
    5468400*ln2^3*z5 - 13759200*ln2*z2*z5 + 25001550*z3*z5 + 56544075*ln2*z7)/
   2822400, H[-1, 0, 0, 1, -1, 1, -1, 1, 1] -> 
  (-40320000*li8half - 12096000*li6half*ln2^2 - 336000*li4half*ln2^4 - 
    31800*ln2^8 - 38808000*ln2^2*s6 + 66561075*s8a + 301392000*s8b + 
    60480000*s8c + 21168000*s8d + 12096000*li6half*z2 + 
    2016000*li4half*ln2^2*z2 + 464800*ln2^6*z2 - 74592000*s6*z2 + 
    4032000*li4half*z2^2 - 688800*ln2^4*z2^2 + 20347200*ln2^2*z2^3 + 
    7987032*z2^4 - 42336000*li5half*z3 - 2016000*li4half*ln2*z3 + 
    268800*ln2^5*z3 - 9072000*ln2^3*z2*z3 - 52012800*ln2*z2^2*z3 - 
    7938000*ln2^2*z3^2 - 59724000*z2*z3^2 - 185472000*ln2*z2*z5 + 
    95673375*z3*z5 - 11907000*ln2*z7)/4032000, 
 H[-1, 0, 0, 1, -1, 1, -1, 0, 1] -> (27888000*ln2^2*s6 - 3696000*ln2*s7a + 
    8064000*ln2*s7b - 60470025*s8a - 298200000*s8b - 48384000*s8c - 
    26880000*s8d - 3528000*li6half*z2 - 588000*li4half*ln2^2*z2 - 
    29400*ln2^6*z2 + 88893000*s6*z2 - 5611200*li4half*z2^2 + 
    1750700*ln2^4*z2^2 - 12091800*ln2^2*z2^3 - 1677744*z2^4 + 
    53760000*li5half*z3 + 2352000*li4half*ln2*z3 - 350000*ln2^5*z3 + 
    3892000*ln2^3*z2*z3 + 46017300*ln2*z2^2*z3 + 2184000*ln2^2*z3^2 + 
    50271375*z2*z3^2 - 11392500*ln2^3*z5 + 121096500*ln2*z2*z5 - 
    95027625*z3*z5 + 50056125*ln2*z7)/1176000, 
 H[-1, 0, 0, 1, -1, 1, -1, -1, 1] -> 
  (169344000*li4half^2 - 564480000*li8half + 112896000*li6half*ln2^2 + 
    16464000*li4half*ln2^4 + 534800*ln2^8 + 281232000*ln2^2*s6 + 
    4032000*ln2*s7a + 74592000*ln2*s7b - 677046825*s8a - 3820320000*s8b - 
    514080000*s8c - 304416000*s8d + 42336000*li5half*ln2*z2 - 
    98784000*li4half*ln2^2*z2 - 7016800*ln2^6*z2 + 1018080000*s6*z2 - 
    179424000*li4half*z2^2 + 15897000*ln2^4*z2^2 - 69426000*ln2^2*z2^3 - 
    14181732*z2^4 + 587664000*li5half*z3 + 225792000*li4half*ln2*z3 + 
    4510800*ln2^5*z3 + 13692000*ln2^3*z2*z3 + 458879400*ln2*z2^2*z3 + 
    63661500*ln2^2*z3^2 + 533956500*z2*z3^2 - 68355000*ln2^3*z5 + 
    1327315500*ln2*z2*z5 - 646167375*z3*z5 + 928683000*ln2*z7)/28224000, 
 H[-1, 0, 0, 1, -1, 0, 1, 1, 1] -> 
  (39513600*li4half^2 + 3292800*li4half*ln2^4 + 68600*ln2^8 + 
    28425600*ln2^2*s6 - 7660800*ln2*s7a + 31852800*ln2*s7b - 55011600*s8a - 
    245851200*s8b - 47174400*s8c - 26208000*s8d - 19756800*li4half*ln2^2*z2 - 
    823200*ln2^6*z2 + 91929600*s6*z2 - 23022720*li4half*z2^2 + 
    1510320*ln2^4*z2^2 - 10332000*ln2^2*z2^3 + 7942392*z2^4 + 
    52416000*li5half*z3 + 12700800*li4half*ln2*z3 + 92400*ln2^5*z3 + 
    1192800*ln2^3*z2*z3 + 29940120*ln2*z2^2*z3 - 5896800*ln2^2*z3^2 + 
    51521400*z2*z3^2 - 47392800*ln2^3*z5 + 42046200*ln2*z2*z5 - 
    140198625*z3*z5 + 134558550*ln2*z7)/5644800, 
 H[-1, 0, 0, 1, -1, 0, 1, 0, 1] -> 
  (-6451200*li4half^2 - 537600*li4half*ln2^4 - 11200*ln2^8 + 
    1036800*ln2^2*s6 - 1036800*ln2*s7a - 1036800*ln2*s7b - 885150*s8a - 
    4636800*s8b + 3225600*li4half*ln2^2*z2 + 134400*ln2^6*z2 + 806400*s6*z2 + 
    4052160*li4half*z2^2 - 234360*ln2^4*z2^2 - 546480*ln2^2*z2^3 - 
    1096698*z2^4 - 4838400*li4half*ln2*z3 - 201600*ln2^5*z3 + 
    1209600*ln2^3*z2*z3 + 2747520*ln2*z2^2*z3 - 1296000*ln2^2*z3^2 - 
    472500*z2*z3^2 + 1092600*ln2*z2*z5 + 3449250*z3*z5 - 750825*ln2*z7)/
   403200, H[-1, 0, 0, 1, -1, 0, 1, -1, 1] -> 
  (-45158400*li4half^2 - 3763200*li4half*ln2^4 - 78400*ln2^8 - 
    45763200*ln2^2*s6 + 15120000*ln2*s7a - 49795200*ln2*s7b + 82816650*s8a + 
    404611200*s8b + 61286400*s8c + 51609600*s8d - 22579200*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 + 70560*ln2^6*z2 - 159667200*s6*z2 + 
    42215040*li4half*z2^2 + 3405360*ln2^4*z2^2 + 4505760*ln2^2*z2^3 - 
    15355224*z2^4 - 91929600*li5half*z3 - 44452800*li4half*ln2*z3 - 
    1086120*ln2^5*z3 + 3452400*ln2^3*z2*z3 - 36812160*ln2*z2^2*z3 + 
    10281600*ln2^2*z3^2 - 67485600*z2*z3^2 + 67443600*ln2^3*z5 - 
    23121000*ln2*z2*z5 + 186669000*z3*z5 - 179646075*ln2*z7)/2822400, 
 H[-1, 0, 0, 1, -1, 0, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    102816000*ln2^2*s6 + 72576000*ln2*s7a - 96768000*ln2*s7b + 
    192964275*s8a + 968688000*s8b + 145152000*s8c + 108864000*s8d - 
    7056000*li4half*ln2^2*z2 - 294000*ln2^6*z2 - 344736000*s6*z2 + 
    13305600*li4half*z2^2 + 1436400*ln2^4*z2^2 + 26913600*ln2^2*z2^3 - 
    6482916*z2^4 - 217728000*li5half*z3 + 10584000*li4half*ln2*z3 + 
    2255400*ln2^5*z3 - 20790000*ln2^3*z2*z3 - 132753600*ln2*z2^2*z3 + 
    54432000*ln2^2*z3^2 - 156492000*z2*z3^2 + 164052000*ln2^3*z5 - 
    145908000*ln2*z2*z5 + 384307875*z3*z5 - 444669750*ln2*z7)/7056000, 
 H[-1, 0, 0, 1, -1, 0, 0, 0, 1] -> (85050*s8a + 1008000*s8b + 201600*s6*z2 + 
    47040*li4half*z2^2 + 1960*ln2^4*z2^2 - 314160*ln2^2*z2^3 + 160992*z2^4 - 
    60480*ln2*z2^2*z3 - 66150*z2*z3^2 - 738675*z3*z5 - 1135050*ln2*z7)/67200, 
 H[-1, 0, 0, 1, -1, 0, 0, -1, 1] -> (72576000*ln2^2*s6 - 24192000*ln2*s7a + 
    32256000*ln2*s7b - 129142650*s8a - 608160000*s8b - 96768000*s8c - 
    72576000*s8d + 236880000*s6*z2 - 13927200*li4half*z2^2 - 
    580300*ln2^4*z2^2 - 29177400*ln2^2*z2^3 + 13475571*z2^4 + 
    145152000*li5half*z3 - 3528000*li4half*ln2*z3 - 1356600*ln2^5*z3 + 
    12978000*ln2^3*z2*z3 + 97776000*ln2*z2^2*z3 - 16632000*ln2^2*z3^2 + 
    101682000*z2*z3^2 - 54684000*ln2^3*z5 + 182395500*ln2*z2*z5 - 
    285256125*z3*z5 + 66546375*ln2*z7)/2352000, 
 H[-1, 0, 0, 1, -1, 0, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    16128000*ln2^2*s6 - 14112000*ln2*s7a + 28224000*ln2*s7b + 15948450*s8a + 
    156744000*s8b - 4032000*s8c + 46368000*s8d - 112896000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 529200*ln2^6*z2 - 113904000*s6*z2 - 
    6955200*li4half*z2^2 - 2641800*ln2^4*z2^2 - 9336600*ln2^2*z2^3 - 
    12619818*z2^4 - 22176000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    1360800*ln2^5*z3 - 8904000*ln2^3*z2*z3 - 13708800*ln2*z2^2*z3 - 
    17073000*ln2^2*z3^2 - 8001000*z2*z3^2 - 41013000*ln2^3*z5 + 
    34697250*ln2*z2*z5 + 47596500*z3*z5 + 159035625*ln2*z7)/7056000, 
 H[-1, 0, 0, 1, -1, 0, -1, 0, 1] -> 
  (-960000*ln2^2*s6 + 960000*ln2*s7a + 960000*ln2*s7b + 511350*s8a + 
    2352000*s8b + 1344000*s6*z2 - 235200*li4half*z2^2 - 9800*ln2^4*z2^2 - 
    205200*ln2^2*z2^3 + 477026*z2^4 + 672000*li4half*ln2*z3 + 
    28000*ln2^5*z3 - 168000*ln2^3*z2*z3 - 2040000*ln2*z2^2*z3 + 
    1200000*ln2^2*z3^2 - 661500*z2*z3^2 - 2820000*ln2*z2*z5 - 120750*z3*z5 + 
    1798875*ln2*z7)/672000, H[-1, 0, 0, 1, -1, 0, -1, -1, 1] -> 
  (28728000*ln2^2*s6 - 4704000*ln2*s7a + 18816000*ln2*s7b - 58735950*s8a - 
    265692000*s8b - 45696000*s8c - 31920000*s8d + 102648000*s6*z2 - 
    7501200*li4half*z2^2 - 312550*ln2^4*z2^2 - 13206900*ln2^2*z2^3 + 
    7111683*z2^4 + 63840000*li5half*z3 + 5880000*li4half*ln2*z3 - 
    287000*ln2^5*z3 + 3850000*ln2^3*z2*z3 + 36321600*ln2*z2^2*z3 + 
    1134000*ln2^2*z3^2 + 48678000*z2*z3^2 - 22785000*ln2^3*z5 + 
    76358625*ln2*z2*z5 - 135229500*z3*z5 + 52295250*ln2*z7)/2352000, 
 H[-1, 0, 0, 1, -1, -1, 1, 1, 1] -> (-5644800*li4half^2 + 112896000*li8half - 
    90316800*li7half*ln2 - 5644800*li6half*ln2^2 + 3763200*li5half*ln2^3 - 
    1411200*li4half*ln2^4 - 67480*ln2^8 - 705600*ln2^2*s6 - 
    20160000*ln2*s7a + 41932800*ln2*s7b + 40343625*s8a + 197971200*s8b + 
    34675200*s8c + 2016000*s8d + 5644800*li6half*z2 + 
    11289600*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 243040*ln2^6*z2 - 
    18849600*s6*z2 + 685440*li4half*z2^2 - 2758560*ln2^4*z2^2 - 
    549360*ln2^2*z2^3 + 933768*z2^4 + 1612800*li5half*z3 + 
    4233600*li4half*ln2*z3 + 162960*ln2^5*z3 - 7803600*ln2^3*z2*z3 - 
    41295240*ln2*z2^2*z3 - 35081550*ln2^2*z3^2 - 26381250*z2*z3^2 - 
    72000600*ln2^3*z5 - 229320000*ln2*z2*z5 - 37743300*z3*z5 + 
    282907800*ln2*z7)/5644800, H[-1, 0, 0, 1, -1, -1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    49392000*ln2^2*s6 + 19152000*ln2*s7a + 19152000*ln2*s7b - 129329550*s8a - 
    308448000*s8b - 137088000*s8c + 52416000*s8d + 42336000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 176400*ln2^6*z2 - 32508000*s6*z2 + 
    40824000*li4half*z2^2 + 4935000*ln2^4*z2^2 - 16921800*ln2^2*z2^3 - 
    46873098*z2^4 - 161280000*li5half*z3 - 70560000*li4half*ln2*z3 - 
    1596000*ln2^5*z3 + 4200000*ln2^3*z2*z3 + 52787700*ln2*z2^2*z3 + 
    43218000*ln2^2*z3^2 + 92011500*z2*z3^2 + 266143500*ln2*z2*z5 + 
    105761250*z3*z5 + 201403125*ln2*z7)/14112000, 
 H[-1, 0, 0, 1, -1, -1, 1, -1, 1] -> 
  (-70560000*li4half^2 - 141120000*li8half + 225792000*li7half*ln2 - 
    9408000*li5half*ln2^3 - 3528000*li4half*ln2^4 + 5600*ln2^8 - 
    57960000*ln2^2*s6 + 62496000*ln2*s7a - 128016000*ln2*s7b + 21038850*s8a + 
    159516000*s8b - 9072000*s8c + 76104000*s8d + 35280000*li5half*ln2*z2 + 
    77616000*li4half*ln2^2*z2 + 2606800*ln2^6*z2 - 185724000*s6*z2 + 
    68846400*li4half*z2^2 - 1644300*ln2^4*z2^2 + 4032000*ln2^2*z2^3 - 
    34936164*z2^4 - 169848000*li5half*z3 - 141120000*li4half*ln2*z3 - 
    4464600*ln2^5*z3 + 55524000*ln2^3*z2*z3 + 19233900*ln2*z2^2*z3 + 
    79395750*ln2^2*z3^2 - 10946250*z2*z3^2 + 214179000*ln2^3*z5 + 
    316716750*ln2*z2*z5 + 297714375*z3*z5 - 625432500*ln2*z7)/14112000, 
 H[-1, 0, 0, 1, -1, -1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    15120000*ln2^2*s6 + 39312000*ln2*s7a - 115920000*ln2*s7b + 22070475*s8a - 
    45360000*s8b + 36288000*s8c - 36288000*s8d + 84672000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 
    139608000*s6*z2 + 5443200*li4half*z2^2 + 8458800*ln2^4*z2^2 - 
    16858800*ln2^2*z2^3 - 1593744*z2^4 + 37296000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 277200*ln2^5*z3 - 420000*ln2^3*z2*z3 + 
    27184500*ln2*z2^2*z3 + 48226500*ln2^2*z3^2 - 65583000*z2*z3^2 + 
    150381000*ln2^3*z5 + 129339000*ln2*z2*z5 + 58826250*z3*z5 - 
    555392250*ln2*z7)/14112000, H[-1, 0, 0, 1, -1, -1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    32592000*ln2^2*s6 + 8400000*ln2*s7a - 5712000*ln2*s7b + 66603600*s8a + 
    341712000*s8b + 48384000*s8c + 36288000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 - 111972000*s6*z2 - 2620800*li4half*z2^2 + 
    772800*ln2^4*z2^2 + 15619800*ln2^2*z2^3 + 2886616*z2^4 - 
    72576000*li5half*z3 + 12936000*li4half*ln2*z3 + 1143800*ln2^5*z3 - 
    9282000*ln2^3*z2*z3 - 59335500*ln2*z2^2*z3 + 3696000*ln2^2*z3^2 - 
    51300375*z2*z3^2 + 13671000*ln2^3*z5 - 127932000*ln2*z2*z5 + 
    108919125*z3*z5 - 43698375*ln2*z7)/2352000, 
 H[-1, 0, 0, 1, -1, -1, 0, -1, 1] -> 
  (1693440*li4half^2 + 141120*li4half*ln2^4 + 2940*ln2^8 + 201600*ln2^2*s6 + 
    497280*ln2*s7a + 1061760*ln2*s7b - 1296120*s8a - 2321760*s8b - 
    1397760*s8c + 268800*s8d + 564480*li6half*z2 - 376320*li5half*ln2*z2 - 
    1034880*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 756000*s6*z2 - 
    1164576*li4half*z2^2 + 61236*ln2^4*z2^2 + 159264*ln2^2*z2^3 + 
    314768*z2^4 - 349440*li5half*z3 + 2446080*li4half*ln2*z3 + 
    104832*ln2^5*z3 - 640640*ln2^3*z2*z3 - 226044*ln2*z2^2*z3 + 
    818160*ln2^2*z3^2 + 923370*z2*z3^2 - 546840*ln2^3*z5 + 570150*ln2*z2*z5 - 
    2162265*z3*z5 + 1706250*ln2*z7)/188160, 
 H[-1, 0, 0, 1, -1, -1, -1, 1, 1] -> 
  (-112896000*li4half^2 + 1128960000*li8half - 225792000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 190400*ln2^8 - 
    77616000*ln2^2*s6 - 100800000*ln2*s7a + 82656000*ln2*s7b + 
    215797050*s8a + 1025136000*s8b + 116928000*s8c + 80640000*s8d + 
    169344000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    197568000*li4half*ln2^2*z2 - 8232000*ln2^6*z2 - 140112000*s6*z2 + 
    69753600*li4half*z2^2 + 37363200*ln2^4*z2^2 - 61387200*ln2^2*z2^3 - 
    152293392*z2^4 - 6048000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    4754400*ln2^5*z3 - 97524000*ln2^3*z2*z3 - 111484800*ln2*z2^2*z3 - 
    37264500*ln2^2*z3^2 - 229477500*z2*z3^2 - 132153000*ln2^3*z5 - 
    324135000*ln2*z2*z5 + 146112750*z3*z5 + 815495625*ln2*z7)/56448000, 
 H[-1, 0, 0, 1, -1, -1, -1, 0, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 
    13910400*ln2^2*s6 + 3763200*ln2*s7a - 940800*ln2*s7b + 26881050*s8a + 
    149150400*s8b + 20294400*s8c + 15456000*s8d - 5644800*li6half*z2 - 
    1881600*li5half*ln2*z2 - 940800*li4half*ln2^2*z2 - 31360*ln2^6*z2 - 
    51374400*s6*z2 - 530880*li4half*z2^2 - 884520*ln2^4*z2^2 + 
    6713280*ln2^2*z2^3 + 2671356*z2^4 - 30441600*li5half*z3 + 
    2352000*li4half*ln2*z3 + 351680*ln2^5*z3 - 3124800*ln2^3*z2*z3 - 
    25819920*ln2*z2^2*z3 + 1850100*ln2^2*z3^2 - 19175100*z2*z3^2 + 
    4557000*ln2^3*z5 - 53415600*ln2*z2*z5 + 39679500*z3*z5 - 18128775*ln2*z7)/
   1881600, H[-1, 0, 0, 1, -1, -1, -1, -1, 1] -> 
  (254016000*li4half^2 + 564480000*li8half + 225792000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 18200*ln2^8 - 71568000*ln2^2*s6 + 
    241920000*ln2*s7a + 143136000*ln2*s7b + 53915400*s8a + 1417248000*s8b - 
    72576000*s8c + 199584000*s8d - 84672000*li5half*ln2*z2 - 
    127008000*li4half*ln2^2*z2 - 2469600*ln2^6*z2 - 462672000*s6*z2 - 
    156240000*li4half*z2^2 - 8097600*ln2^4*z2^2 + 32760000*ln2^2*z2^3 + 
    48228624*z2^4 - 356832000*li5half*z3 + 423360000*li4half*ln2*z3 + 
    20613600*ln2^5*z3 - 135576000*ln2^3*z2*z3 - 296553600*ln2*z2^2*z3 + 
    243810000*ln2^2*z3^2 + 14742000*z2*z3^2 + 50127000*ln2^3*z5 - 
    198765000*ln2*z2*z5 - 253260000*z3*z5 - 277696125*ln2*z7)/56448000, 
 H[-1, 0, 0, 0, 1, 1, 1, 1, 1] -> (-168000*ln2^2*s6 + 336000*ln2*s7a + 
    212800*s8a + 2128000*s8b + 336000*s8d - 1008000*s6*z2 + 
    67200*li4half*z2^2 + 2800*ln2^4*z2^2 + 50400*ln2^2*z2^3 - 9672*z2^4 - 
    672000*li5half*z3 + 5600*ln2^5*z3 - 56000*ln2^3*z2*z3 - 
    364000*ln2*z2^2*z3 + 210000*ln2^2*z3^2 + 126000*z2*z3^2 + 
    217000*ln2^3*z5 - 112000*ln2*z2*z5 + 60375*z3*z5 - 97125*ln2*z7)/224000, 
 H[-1, 0, 0, 0, 1, 1, 1, 0, 1] -> (-60400*s8a - 216000*s8b + 24000*s6*z2 - 
    2784*z2^4 + 67200*ln2*z2^2*z3 + 10000*z2*z3^2 - 46500*ln2*z2*z5 - 
    6500*z3*z5 + 210625*ln2*z7)/32000, H[-1, 0, 0, 0, 1, 1, 1, -1, 1] -> 
  (21840000*ln2^2*s6 - 11760000*ln2*s7a - 39195450*s8a - 223524000*s8b - 
    20160000*s8c - 29232000*s8d + 4704000*li5half*ln2*z2 - 39200*ln2^6*z2 + 
    83160000*s6*z2 - 5258400*li4half*z2^2 + 760900*ln2^4*z2^2 - 
    7639800*ln2^2*z2^3 + 1881588*z2^4 + 56112000*li5half*z3 - 
    3528000*li4half*ln2*z3 - 614600*ln2^5*z3 + 2912000*ln2^3*z2*z3 + 
    40706400*ln2*z2^2*z3 - 11865000*ln2^2*z3^2 + 28350000*z2*z3^2 - 
    9114000*ln2^3*z5 + 50851500*ln2*z2*z5 - 80640000*z3*z5 + 34636875*ln2*z7)/
   4704000, H[-1, 0, 0, 0, 1, 1, 0, 1, 1] -> 
  (2688000*ln2^2*s6 - 5376000*ln2*s7a - 5376000*ln2*s7b + 13438425*s8a + 
    7392000*s8b + 5376000*s8c - 5376000*s8d + 17808000*s6*z2 - 
    1075200*li4half*z2^2 - 44800*ln2^4*z2^2 - 806400*ln2^2*z2^3 - 
    1487312*z2^4 + 10752000*li5half*z3 - 89600*ln2^5*z3 + 
    896000*ln2^3*z2*z3 - 4401600*ln2*z2^2*z3 - 3360000*ln2^2*z3^2 - 
    17556000*z2*z3^2 - 2247000*ln2*z2*z5 + 37600500*z3*z5 - 49234500*ln2*z7)/
   4704000, H[-1, 0, 0, 0, 1, 1, 0, 0, 1] -> 
  (-16575*s8a + 120000*s8b + 28738*z2^4 - 38400*ln2*z2^2*z3 + 54000*z2*z3^2 - 
    228000*z3*z5 - 94125*ln2*z7)/48000, H[-1, 0, 0, 0, 1, 1, 0, -1, 1] -> 
  (2688000*ln2*s7a + 2688000*ln2*s7b - 1707825*s8a + 10248000*s8b - 
    5376000*s8c + 5376000*s8d - 8988000*s6*z2 + 1075200*li4half*z2^2 + 
    44800*ln2^4*z2^2 + 336000*ln2^2*z2^3 - 1127237*z2^4 - 
    10752000*li5half*z3 + 89600*ln2^5*z3 - 896000*ln2^3*z2*z3 - 
    3219300*ln2*z2^2*z3 + 4116000*ln2^2*z3^2 + 2378250*z2*z3^2 + 
    5475750*ln2*z2*z5 + 7087500*z3*z5 + 3614625*ln2*z7)/2352000, 
 H[-1, 0, 0, 0, 1, 1, -1, 1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    192528000*ln2^2*s6 + 4032000*ln2*s7a + 46368000*ln2*s7b + 456772050*s8a + 
    2164176000*s8b + 264096000*s8c + 286272000*s8d + 
    56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 117600*ln2^6*z2 - 
    791280000*s6*z2 - 30240000*li4half*z2^2 - 19488000*ln2^4*z2^2 + 
    139255200*ln2^2*z2^3 - 43834932*z2^4 - 607824000*li5half*z3 + 
    77616000*li4half*ln2*z3 + 8299200*ln2^5*z3 - 43596000*ln2^3*z2*z3 - 
    433288800*ln2*z2^2*z3 + 2961000*ln2^2*z3^2 - 397404000*z2*z3^2 - 
    41013000*ln2^3*z5 - 996408000*ln2*z2*z5 + 1222916625*z3*z5 + 
    171706500*ln2*z7)/28224000, H[-1, 0, 0, 0, 1, 1, -1, 0, 1] -> 
  (-322560*li4half^2 - 26880*li4half*ln2^4 - 560*ln2^8 + 725760*ln2^2*s6 - 
    322560*ln2*s7a - 1442385*s8a - 7580160*s8b - 806400*s8c - 1128960*s8d + 
    161280*li4half*ln2^2*z2 + 6720*ln2^6*z2 + 3124800*s6*z2 - 
    4032*li4half*z2^2 - 20328*ln2^4*z2^2 - 380016*ln2^2*z2^3 + 186408*z2^4 + 
    2257920*li5half*z3 - 322560*li4half*ln2*z3 - 32256*ln2^5*z3 + 
    268800*ln2^3*z2*z3 + 1397088*ln2*z2^2*z3 - 289800*ln2^2*z3^2 + 
    1157940*z2*z3^2 - 312480*ln2^3*z5 + 2409120*ln2*z2*z5 - 3905685*z3*z5 - 
    215775*ln2*z7)/80640, H[-1, 0, 0, 0, 1, 1, -1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    20160000*ln2^2*s6 - 10080000*ln2*s7a - 12432000*ln2*s7b - 31209675*s8a - 
    188832000*s8b - 13104000*s8c - 36288000*s8d + 9408000*li5half*ln2*z2 + 
    7056000*li4half*ln2^2*z2 + 215600*ln2^6*z2 + 97272000*s6*z2 + 
    2856000*li4half*z2^2 + 1197000*ln2^4*z2^2 - 12012000*ln2^2*z2^3 + 
    7726602*z2^4 + 67872000*li5half*z3 - 18816000*li4half*ln2*z3 - 
    1349600*ln2^5*z3 + 8596000*ln2^3*z2*z3 + 43119300*ln2*z2^2*z3 - 
    11565750*ln2^2*z3^2 + 21404250*z2*z3^2 + 2278500*ln2^3*z5 + 
    64659000*ln2*z2*z5 - 103553625*z3*z5 - 89512500*ln2*z7)/4704000, 
 H[-1, 0, 0, 0, 1, 0, 1, 1, 1] -> (6720000*ln2^2*s6 - 13440000*ln2*s7a + 
    5376000*ln2*s7b - 21468300*s8a - 126168000*s8b - 5376000*s8c - 
    13440000*s8d + 45696000*s6*z2 - 2688000*li4half*z2^2 - 
    112000*ln2^4*z2^2 - 2016000*ln2^2*z2^3 + 45732*z2^4 + 
    26880000*li5half*z3 - 224000*ln2^5*z3 + 2240000*ln2^3*z2*z3 + 
    18043200*ln2*z2^2*z3 - 8400000*ln2^2*z3^2 + 11088000*z2*z3^2 - 
    12152000*ln2^3*z5 + 7392000*ln2*z2*z5 - 29883000*z3*z5 + 54581625*ln2*z7)/
   4704000, H[-1, 0, 0, 0, 1, 0, 1, 0, 1] -> 
  (415800*s8a + 2184000*s8b - 336000*s6*z2 + 161743*z2^4 - 
    537600*ln2*z2^2*z3 - 63000*z2*z3^2 + 651000*ln2*z2*z5 - 651000*z3*z5 - 
    2653875*ln2*z7)/168000, H[-1, 0, 0, 0, 1, 0, 1, -1, 1] -> 
  (-38976000*ln2^2*s6 + 13440000*ln2*s7a - 5376000*ln2*s7b + 66437700*s8a + 
    347760000*s8b + 51072000*s8c + 24192000*s8d - 86016000*s6*z2 + 
    2486400*li4half*z2^2 + 103600*ln2^4*z2^2 + 15724800*ln2^2*z2^3 + 
    11299002*z2^4 - 48384000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    991200*ln2^5*z3 - 7560000*ln2^3*z2*z3 - 56158200*ln2*z2^2*z3 + 
    9618000*ln2^2*z3^2 - 54621000*z2*z3^2 + 12152000*ln2^3*z5 - 
    134631000*ln2*z2*z5 + 67541250*z3*z5 - 129257625*ln2*z7)/4704000, 
 H[-1, 0, 0, 0, 1, 0, 0, 1, 1] -> (53700*s8a + 456000*s8b - 192000*s6*z2 + 
    17872*z2^4 + 36000*z2*z3^2 - 108000*ln2*z2*z5 - 180000*z3*z5 - 
    88875*ln2*z7)/48000, H[-1, 0, 0, 0, 1, 0, 0, 0, 1] -> 
  (-53550*s8a - 560000*s8b - 58143*z2^4 + 336000*z3*z5 + 551250*ln2*z7)/
   28000, H[-1, 0, 0, 0, 1, 0, 0, -1, 1] -> 
  (-99225*s8a - 5880000*s8b - 672000*s6*z2 - 1136356*z2^4 + 
    189000*ln2*z2^2*z3 + 409500*z2*z3^2 + 1575000*ln2*z2*z5 + 3764250*z3*z5 + 
    10623375*ln2*z7)/336000, H[-1, 0, 0, 0, 1, 0, -1, 1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    2822400*ln2^2*s6 + 7257600*ln2*s7a - 15321600*ln2*s7b + 1343475*s8a + 
    13910400*s8b + 2419200*s8c - 2419200*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 - 6451200*s6*z2 + 6289920*li4half*z2^2 - 
    443520*ln2^4*z2^2 - 6420960*ln2^2*z2^3 + 950868*z2^4 + 
    4838400*li5half*z3 - 8467200*li4half*ln2*z3 - 393120*ln2^5*z3 + 
    2520000*ln2^3*z2*z3 + 5909400*ln2*z2^2*z3 + 6350400*ln2^2*z3^2 + 
    5594400*z2*z3^2 + 21873600*ln2^3*z5 + 44408700*ln2*z2*z5 - 
    24357375*z3*z5 - 75755925*ln2*z7)/2822400, 
 H[-1, 0, 0, 0, 1, 0, -1, 0, 1] -> (-24975*s8a - 168000*s8b + 48000*s6*z2 - 
    10096*z2^4 + 23400*ln2*z2^2*z3 - 22500*z2*z3^2 + 99000*z3*z5 + 
    93375*ln2*z7)/24000, H[-1, 0, 0, 0, 1, 0, -1, -1, 1] -> 
  (6272000*ln2^2*s6 - 4032000*ln2*s7a + 8512000*ln2*s7b - 14989450*s8a - 
    86912000*s8b - 10752000*s8c - 8064000*s8d + 25536000*s6*z2 - 
    1612800*li4half*z2^2 - 67200*ln2^4*z2^2 - 1601600*ln2^2*z2^3 - 
    1832122*z2^4 + 16128000*li5half*z3 - 134400*ln2^5*z3 + 
    1344000*ln2^3*z2*z3 + 9868600*ln2*z2^2*z3 - 4410000*ln2^2*z3^2 + 
    12106500*z2*z3^2 - 12152000*ln2^3*z5 + 10143000*ln2*z2*z5 - 
    19494125*z3*z5 + 63867125*ln2*z7)/1568000, 
 H[-1, 0, 0, 0, 1, -1, 1, 1, 1] -> (-161280*li4half^2 - 13440*li4half*ln2^4 - 
    280*ln2^8 + 410880*ln2^2*s6 - 7680*ln2*s7a - 195840*ln2*s7b - 
    923370*s8a - 4374720*s8b - 672000*s8c - 349440*s8d + 
    107520*li5half*ln2*z2 + 80640*li4half*ln2^2*z2 + 2464*ln2^6*z2 + 
    1142400*s6*z2 + 26880*li4half*z2^2 + 20160*ln2^4*z2^2 - 
    226752*ln2^2*z2^3 - 71184*z2^4 + 631680*li5half*z3 - 
    120960*li4half*ln2*z3 - 10304*ln2^5*z3 + 143360*ln2^3*z2*z3 + 
    842376*ln2*z2^2*z3 + 109680*ln2^2*z3^2 + 766920*z2*z3^2 + 
    225680*ln2^3*z5 + 2600520*ln2*z2*z5 - 1283415*z3*z5 - 652980*ln2*z7)/
   53760, H[-1, 0, 0, 0, 1, -1, 1, 0, 1] -> 
  (-29568000*ln2^2*s6 + 4032000*ln2*s7a - 8512000*ln2*s7b + 65269050*s8a + 
    310912000*s8b + 51072000*s8c + 24192000*s8d - 86016000*s6*z2 + 
    4838400*li4half*z2^2 + 201600*ln2^4*z2^2 + 10197600*ln2^2*z2^3 + 
    4042998*z2^4 - 48384000*li5half*z3 + 403200*ln2^5*z3 - 
    4032000*ln2^3*z2*z3 - 49945000*ln2*z2^2*z3 - 2142000*ln2^2*z3^2 - 
    52122000*z2*z3^2 + 12152000*ln2^3*z5 - 124022500*ln2*z2*z5 + 
    87582250*z3*z5 - 63952875*ln2*z7)/1568000, 
 H[-1, 0, 0, 0, 1, -1, 1, -1, 1] -> (-13104000*ln2^2*s6 + 336000*ln2*s7a + 
    6216000*ln2*s7b + 33218850*s8a + 173880000*s8b + 25536000*s8c + 
    12096000*s8d - 43008000*s6*z2 + 2419200*li4half*z2^2 - 
    1075200*ln2^4*z2^2 + 8618400*ln2^2*z2^3 + 5219526*z2^4 - 
    24192000*li5half*z3 + 201600*ln2^5*z3 - 6426000*ln2^3*z2*z3 - 
    29242500*ln2*z2^2*z3 - 3171000*ln2^2*z3^2 - 26428500*z2*z3^2 - 
    7595000*ln2^3*z5 - 91560000*ln2*z2*z5 + 31492125*z3*z5 - 15807750*ln2*z7)/
   2352000, H[-1, 0, 0, 0, 1, -1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    118944000*ln2^2*s6 - 72576000*ln2*s7a + 153216000*ln2*s7b - 
    248281425*s8a - 1203552000*s8b - 205632000*s8c - 133056000*s8d - 
    28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 435456000*s6*z2 - 
    60480000*li4half*z2^2 + 1008000*ln2^4*z2^2 - 28224000*ln2^2*z2^3 + 
    15301032*z2^4 + 266112000*li5half*z3 + 42336000*li4half*ln2*z3 - 
    453600*ln2^5*z3 + 11592000*ln2^3*z2*z3 + 143740800*ln2*z2^2*z3 - 
    49896000*ln2^2*z3^2 + 195237000*z2*z3^2 - 218736000*ln2^3*z5 + 
    124488000*ln2*z2*z5 - 469783125*z3*z5 + 676525500*ln2*z7)/14112000, 
 H[-1, 0, 0, 0, 1, -1, 0, 0, 1] -> 
  (-642600*s8a - 6720000*s8b - 672000*s6*z2 + 1512000*ln2^2*z2^3 - 
    891496*z2^4 + 932400*ln2*z2^2*z3 + 315000*z2*z3^2 + 3803625*z3*z5 + 
    5992875*ln2*z7)/336000, H[-1, 0, 0, 0, 1, -1, 0, -1, 1] -> 
  (-50400000*ln2^2*s6 + 12096000*ln2*s7a - 25536000*ln2*s7b + 91387800*s8a + 
    394632000*s8b + 76608000*s8c + 36288000*s8d - 133728000*s6*z2 + 
    6081600*li4half*z2^2 + 253400*ln2^4*z2^2 + 19748400*ln2^2*z2^3 - 
    4319947*z2^4 - 72576000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    898800*ln2^5*z3 - 7812000*ln2^3*z2*z3 - 62661900*ln2*z2^2*z3 + 
    4347000*ln2^2*z3^2 - 75647250*z2*z3^2 + 36456000*ln2^3*z5 - 
    145183500*ln2*z2*z5 + 173213250*z3*z5 - 63748125*ln2*z7)/2352000, 
 H[-1, 0, 0, 0, 1, -1, -1, 1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 1612800*ln2^2*s6 + 
    403200*ln2*s7a + 1814400*ln2*s7b + 1343475*s8a + 13910400*s8b + 
    2419200*s8c - 2419200*s8d + 11289600*li5half*ln2*z2 + 
    5644800*li4half*ln2^2*z2 + 141120*ln2^6*z2 + 4838400*s6*z2 - 
    4152960*li4half*z2^2 - 996240*ln2^4*z2^2 + 1733760*ln2^2*z2^3 + 
    4016196*z2^4 - 2217600*li5half*z3 + 1411200*li4half*ln2*z3 + 
    77280*ln2^5*z3 + 1050000*ln2^3*z2*z3 - 5288220*ln2*z2^2*z3 + 
    163800*ln2^2*z3^2 - 1549800*z2*z3^2 - 1367100*ln2^3*z5 - 
    29213100*ln2*z2*z5 - 6695325*z3*z5 - 2255400*ln2*z7)/2822400, 
 H[-1, 0, 0, 0, 1, -1, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    143136000*ln2^2*s6 - 40320000*ln2*s7a + 16128000*ln2*s7b - 
    278754525*s8a - 1436400000*s8b - 205632000*s8c - 133056000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 428400000*s6*z2 + 
    12196800*li4half*z2^2 - 3019800*ln2^4*z2^2 - 56977200*ln2^2*z2^3 - 
    20526984*z2^4 + 266112000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    4569600*ln2^5*z3 + 36288000*ln2^3*z2*z3 + 257418000*ln2*z2^2*z3 - 
    21483000*ln2^2*z3^2 + 224343000*z2*z3^2 - 54684000*ln2^3*z5 + 
    567756000*ln2*z2*z5 - 425903625*z3*z5 + 192520125*ln2*z7)/14112000, 
 H[-1, 0, 0, 0, 1, -1, -1, -1, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 
    1248000*ln2^2*s6 - 768000*ln2*s7a - 1776000*ln2*s7b + 2051175*s8a - 
    588000*s8b + 3024000*s8c - 1008000*s8d + 672000*li5half*ln2*z2 + 
    1008000*li4half*ln2^2*z2 + 36400*ln2^6*z2 + 1008000*s6*z2 + 
    1159200*li4half*z2^2 + 62300*ln2^4*z2^2 + 232200*ln2^2*z2^3 - 
    680202*z2^4 + 1680000*li5half*z3 - 2184000*li4half*ln2*z3 - 
    105000*ln2^5*z3 + 812000*ln2^3*z2*z3 + 609300*ln2*z2^2*z3 - 
    1784250*ln2^2*z3^2 - 2220750*z2*z3^2 + 976500*ln2^3*z5 - 
    3193500*ln2*z2*z5 + 4759125*z3*z5 + 1172250*ln2*z7)/672000, 
 H[-1, 0, 0, 0, 0, 1, 1, 1, 1] -> (-168000*ln2^2*s6 + 336000*ln2*s7a + 
    369600*s8a + 2688000*s8b + 336000*s8d - 1008000*s6*z2 + 
    67200*li4half*z2^2 + 2800*ln2^4*z2^2 + 50400*ln2^2*z2^3 + 11736*z2^4 - 
    672000*li5half*z3 + 5600*ln2^5*z3 - 56000*ln2^3*z2*z3 - 
    420000*ln2*z2^2*z3 + 210000*ln2^2*z3^2 - 126000*z2*z3^2 + 
    217000*ln2^3*z5 - 336000*ln2*z2*z5 + 459375*z3*z5 - 648375*ln2*z7)/
   336000, H[-1, 0, 0, 0, 0, 1, 1, 0, 1] -> 
  (-78400*s8a - 504000*s8b + 56000*s6*z2 - 46664*z2^4 + 134400*ln2*z2^2*z3 - 
    42000*z2*z3^2 - 108500*ln2*z2*z5 + 297500*z3*z5 + 552125*ln2*z7)/112000, 
 H[-1, 0, 0, 0, 0, 1, 1, -1, 1] -> (504000*ln2^2*s6 - 336000*ln2*s7a - 
    387450*s8a - 2352000*s8b - 336000*s8c + 168000*s6*z2 + 
    84000*li4half*z2^2 + 3500*ln2^4*z2^2 - 184800*ln2^2*z2^3 - 278412*z2^4 - 
    504000*li4half*ln2*z3 - 21000*ln2^5*z3 + 126000*ln2^3*z2*z3 + 
    514500*ln2*z2^2*z3 - 372750*ln2^2*z3^2 + 283500*z2*z3^2 - 
    217000*ln2^3*z5 + 824250*ln2*z2*z5 + 564375*z3*z5 + 2315250*ln2*z7)/
   336000, H[-1, 0, 0, 0, 0, 1, 0, 1, 1] -> 
  (-165725*s8a - 896000*s8b + 112000*s6*z2 - 34296*z2^4 + 89600*ln2*z2^2*z3 + 
    168000*z2*z3^2 + 343000*ln2*z2*z5 - 203000*z3*z5 + 546000*ln2*z7)/112000, 
 H[-1, 0, 0, 0, 0, 1, 0, 0, 1] -> (89775*s8a + 840000*s8b + 59174*z2^4 - 
    378000*z3*z5 - 826875*ln2*z7)/56000, H[-1, 0, 0, 0, 0, 1, 0, -1, 1] -> 
  (64575*s8a + 1176000*s8b + 56000*s6*z2 + 189192*z2^4 - 58800*ln2*z2^2*z3 - 
    63000*z2*z3^2 - 262500*ln2*z2*z5 - 648375*z3*z5 - 1879500*ln2*z7)/112000, 
 H[-1, 0, 0, 0, 0, 1, -1, 1, 1] -> 
  (56000*ln2^2*s6 - 230300*s8a - 1120000*s8b - 168000*s8c + 112000*s6*z2 + 
    15400*ln2^2*z2^3 - 64868*z2^4 + 191450*ln2*z2^2*z3 + 15750*ln2^2*z3^2 + 
    199500*z2*z3^2 + 616000*ln2*z2*z5 - 66500*z3*z5 + 275625*ln2*z7)/56000, 
 H[-1, 0, 0, 0, 0, 1, -1, 0, 1] -> (89775*s8a + 840000*s8b - 28000*s6*z2 - 
    126000*ln2^2*z2^3 + 74044*z2^4 - 138600*ln2*z2^2*z3 - 15750*z2*z3^2 - 
    338625*z3*z5 - 553875*ln2*z7)/56000, H[-1, 0, 0, 0, 0, 1, -1, -1, 1] -> 
  (840000*ln2^2*s6 - 690900*s8a - 504000*s8b - 1008000*s8c + 504000*s6*z2 + 
    84000*li4half*z2^2 + 3500*ln2^4*z2^2 - 470400*ln2^2*z2^3 + 226656*z2^4 - 
    504000*li4half*ln2*z3 - 21000*ln2^5*z3 + 126000*ln2^3*z2*z3 + 
    426300*ln2*z2^2*z3 + 236250*ln2^2*z3^2 + 693000*z2*z3^2 + 
    2546250*ln2*z2*z5 - 2113125*z3*z5 - 3987375*ln2*z7)/336000, 
 H[-1, 0, 0, 0, 0, 0, 1, 1, 1] -> (50400*s8a + 280000*s8b + 6884*z2^4 - 
    44800*ln2*z2^2*z3 - 84000*z2*z3^2 - 112000*ln2*z2*z5 + 164500*z3*z5 - 
    219625*ln2*z7)/112000, H[-1, 0, 0, 0, 0, 0, 1, 0, 1] -> 
  (-1800*s8a - 24000*s8b - 863*z2^4 + 6000*z3*z5 + 23625*ln2*z7)/4000, 
 H[-1, 0, 0, 0, 0, 0, 1, -1, 1] -> 
  (-50400*s8a - 672000*s8b + 50400*ln2^2*z2^3 - 72824*z2^4 + 
    92400*ln2*z2^2*z3 + 31500*z2*z3^2 + 210000*ln2*z2*z5 + 246750*z3*z5 + 
    441875*ln2*z7)/112000, H[-1, 0, 0, 0, 0, 0, 0, 1, 1] -> 
  (64*s8b - 63*ln2*z7)/64, H[-1, 0, 0, 0, 0, 0, 0, 0, 1] -> (-381*z2^4)/2800, 
 H[-1, 0, 0, 0, 0, 0, 0, -1, 1] -> (-9*(214*z2^4 - 875*z3*z5 - 1225*ln2*z7))/
   11200, H[-1, 0, 0, 0, 0, 0, -1, 1, 1] -> 
  (28350*s8a + 336000*s8b - 25200*ln2^2*z2^3 + 29336*z2^4 - 
    48300*ln2*z2^2*z3 - 31500*z2*z3^2 - 131250*ln2*z2*z5 - 55125*z3*z5 - 
    168000*ln2*z7)/56000, H[-1, 0, 0, 0, 0, 0, -1, 0, 1] -> 
  (-14175*s8a - 168000*s8b - 6883*z2^4 + 47250*z3*z5 + 168000*ln2*z7)/28000, 
 H[-1, 0, 0, 0, 0, 0, -1, -1, 1] -> (-10150*s8a - 78400*s8b - 8852*z2^4 + 
    7840*ln2*z2^2*z3 + 8400*z2*z3^2 + 11200*ln2*z2*z5 + 19775*z3*z5 + 
    111650*ln2*z7)/22400, H[-1, 0, 0, 0, 0, -1, 1, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 1008000*ln2^2*s6 + 
    4032000*ln2*s7b + 1729350*s8a + 14112000*s8b - 2016000*li4half*ln2^2*z2 - 
    84000*ln2^6*z2 + 1008000*s6*z2 - 2419200*li4half*z2^2 + 
    151200*ln2^4*z2^2 + 327600*ln2^2*z2^3 + 1744956*z2^4 + 
    3024000*li4half*ln2*z3 + 126000*ln2^5*z3 - 756000*ln2^3*z2*z3 - 
    4737600*ln2*z2^2*z3 - 283500*ln2^2*z3^2 - 2173500*z2*z3^2 - 
    3906000*ln2^3*z5 - 17703000*ln2*z2*z5 - 1000125*z3*z5 + 11985750*ln2*z7)/
   2016000, H[-1, 0, 0, 0, 0, -1, 1, 0, 1] -> 
  (-3*(9450*s8a + 112000*s8b - 16800*ln2^2*z2^3 + 11584*z2^4 - 
     19320*ln2*z2^2*z3 + 1050*z2*z3^2 - 57750*z3*z5 - 81725*ln2*z7))/22400, 
 H[-1, 0, 0, 0, 0, -1, 1, -1, 1] -> 
  (-224000*ln2*s7b - 96075*s8a - 1176000*s8b + 50400*ln2^2*z2^3 - 
    153397*z2^4 + 252700*ln2*z2^2*z3 + 42000*z2*z3^2 + 217000*ln2^3*z5 + 
    777000*ln2*z2*z5 + 566125*z3*z5 + 112000*ln2*z7)/112000, 
 H[-1, 0, 0, 0, 0, -1, 0, 1, 1] -> (-96075*s8a - 784000*s8b - 66982*z2^4 + 
    67200*ln2*z2^2*z3 + 157500*z2*z3^2 + 525000*ln2*z2*z5 - 73500*z3*z5 + 
    454125*ln2*z7)/112000, H[-1, 0, 0, 0, 0, -1, 0, 0, 1] -> 
  (2835*s8a + 33600*s8b + 2614*z2^4 - 15750*z3*z5 - 33600*ln2*z7)/2240, 
 H[-1, 0, 0, 0, 0, -1, 0, -1, 1] -> (96075*s8a + 1176000*s8b + 162322*z2^4 - 
    78400*ln2*z2^2*z3 - 68250*z2*z3^2 - 171500*ln2*z2*z5 - 536375*z3*z5 - 
    1787625*ln2*z7)/112000, H[-1, 0, 0, 0, 0, -1, -1, 1, 1] -> 
  (576000*li4half^2 + 48000*li4half*ln2^4 + 1000*ln2^8 - 432000*ln2^2*s6 + 
    288000*ln2*s7b + 784350*s8a + 3888000*s8b + 576000*s8c + 576000*s8d - 
    288000*li4half*ln2^2*z2 - 12000*ln2^6*z2 - 1584000*s6*z2 - 
    230400*li4half*z2^2 + 26400*ln2^4*z2^2 + 327600*ln2^2*z2^3 - 67104*z2^4 - 
    1152000*li5half*z3 + 432000*li4half*ln2*z3 + 27600*ln2^5*z3 - 
    204000*ln2^3*z2*z3 - 885600*ln2*z2^2*z3 - 121500*ln2^2*z3^2 - 
    643500*z2*z3^2 - 372000*ln2^3*z5 - 2322000*ln2*z2*z5 + 2019375*z3*z5 + 
    2016000*ln2*z7)/288000, H[-1, 0, 0, 0, 0, -1, -1, 0, 1] -> 
  (73325*s8a + 504000*s8b + 49302*z2^4 - 117600*ln2*z2^2*z3 - 57750*z2*z3^2 - 
    108500*ln2*z2*z5 - 78750*z3*z5 - 448000*ln2*z7)/112000, 
 H[-1, 0, 0, 0, 0, -1, -1, -1, 1] -> 
  (-336000*ln2^2*s6 - 672000*ln2*s7b + 1271025*s8a + 8400000*s8b + 
    672000*s8c + 672000*s8d - 2016000*s6*z2 + 134400*li4half*z2^2 + 
    5600*ln2^4*z2^2 + 100800*ln2^2*z2^3 + 341304*z2^4 - 1344000*li5half*z3 + 
    11200*ln2^5*z3 - 112000*ln2^3*z2*z3 - 911400*ln2*z2^2*z3 + 
    420000*ln2^2*z3^2 - 1018500*z2*z3^2 + 868000*ln2^3*z5 - 
    693000*ln2*z2*z5 + 958125*z3*z5 - 8037750*ln2*z7)/672000, 
 H[-1, 0, 0, 0, -1, 1, 1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    20664000*ln2^2*s6 + 56448000*ln2*s7b + 49658175*s8a + 313488000*s8b + 
    20160000*s8c + 36288000*s8d - 28224000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 940800*ln2^6*z2 - 90216000*s6*z2 - 
    21672000*li4half*z2^2 - 1491000*ln2^4*z2^2 + 14313600*ln2^2*z2^3 + 
    8879148*z2^4 - 54936000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    1633800*ln2^5*z3 - 14280000*ln2^3*z2*z3 - 80161200*ln2*z2^2*z3 - 
    11214000*ln2^2*z3^2 - 27909000*z2*z3^2 - 66076500*ln2^3*z5 - 
    220342500*ln2*z2*z5 + 36870750*z3*z5 + 238360500*ln2*z7)/14112000, 
 H[-1, 0, 0, 0, -1, 1, 1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    27820800*ln2^2*s6 - 7257600*ln2*s7a + 4032000*ln2*s7b - 58890825*s8a - 
    297158400*s8b - 41126400*s8c - 26611200*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 + 88502400*s6*z2 + 1874880*li4half*z2^2 - 
    627480*ln2^4*z2^2 - 10206000*ln2^2*z2^3 - 3934692*z2^4 + 
    53222400*li5half*z3 - 8467200*li4half*ln2*z3 - 796320*ln2^5*z3 + 
    6552000*ln2^3*z2*z3 + 54568080*ln2*z2^2*z3 - 3288600*ln2^2*z3^2 + 
    42090300*z2*z3^2 - 10936800*ln2^3*z5 + 104346900*ln2*z2*z5 - 
    77948325*z3*z5 + 46980675*ln2*z7)/2822400, 
 H[-1, 0, 0, 0, -1, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    6552000*ln2^2*s6 - 7056000*ln2*s7a - 42336000*ln2*s7b + 24730650*s8a + 
    59472000*s8b + 27216000*s8c + 8064000*s8d - 14112000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 176400*ln2^6*z2 - 33768000*s6*z2 + 
    23133600*li4half*z2^2 + 3315900*ln2^4*z2^2 - 1562400*ln2^2*z2^3 - 
    12950541*z2^4 - 9072000*li5half*z3 - 33516000*li4half*ln2*z3 - 
    1320900*ln2^5*z3 + 3654000*ln2^3*z2*z3 + 19769400*ln2*z2^2*z3 - 
    12647250*ln2^2*z3^2 - 26255250*z2*z3^2 + 39873750*ln2^3*z5 + 
    47454750*ln2*z2*z5 + 79813125*z3*z5 - 112510125*ln2*z7)/7056000, 
 H[-1, 0, 0, 0, -1, 1, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    118944000*ln2^2*s6 + 72576000*ln2*s7a - 153216000*ln2*s7b + 
    259328475*s8a + 1238832000*s8b + 205632000*s8c + 133056000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 435456000*s6*z2 + 
    60480000*li4half*z2^2 - 1008000*ln2^4*z2^2 + 28224000*ln2^2*z2^3 - 
    16008564*z2^4 - 266112000*li5half*z3 - 42336000*li4half*ln2*z3 + 
    453600*ln2^5*z3 - 11592000*ln2^3*z2*z3 - 154413000*ln2*z2^2*z3 + 
    49896000*ln2^2*z3^2 - 204498000*z2*z3^2 + 218736000*ln2^3*z5 - 
    126693000*ln2*z2*z5 + 493321500*z3*z5 - 708167250*ln2*z7)/14112000, 
 H[-1, 0, 0, 0, -1, 1, 0, 0, 1] -> (45900*s8a + 480000*s8b + 48000*s6*z2 - 
    108000*ln2^2*z2^3 + 58564*z2^4 - 68400*ln2*z2^2*z3 - 18000*z2*z3^2 - 
    256500*z3*z5 - 405375*ln2*z7)/24000, H[-1, 0, 0, 0, -1, 1, 0, -1, 1] -> 
  (50400000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 90167700*s8a - 
    394632000*s8b - 76608000*s8c - 36288000*s8d + 133728000*s6*z2 - 
    6081600*li4half*z2^2 - 253400*ln2^4*z2^2 - 19748400*ln2^2*z2^3 + 
    3447593*z2^4 + 72576000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    898800*ln2^5*z3 + 7812000*ln2^3*z2*z3 + 61133100*ln2*z2^2*z3 - 
    4347000*ln2^2*z3^2 + 74544750*z2*z3^2 - 36456000*ln2^3*z5 + 
    144999750*ln2*z2*z5 - 167020875*z3*z5 + 69021750*ln2*z7)/2352000, 
 H[-1, 0, 0, 0, -1, 1, -1, 1, 1] -> 
  (37968000*ln2^2*s6 - 87078075*s8a - 409584000*s8b - 75936000*s8c - 
    22848000*s8d + 95088000*s6*z2 - 4569600*li4half*z2^2 + 
    2161600*ln2^4*z2^2 - 19210800*ln2^2*z2^3 - 10764312*z2^4 + 
    45696000*li5half*z3 - 380800*ln2^5*z3 + 12628000*ln2^3*z2*z3 + 
    67422600*ln2*z2^2*z3 + 10678500*ln2^2*z3^2 + 74665500*z2*z3^2 + 
    236628000*ln2*z2*z5 - 96565875*z3*z5 + 23520000*ln2*z7)/4704000, 
 H[-1, 0, 0, 0, -1, 1, -1, 0, 1] -> (-29568000*ln2^2*s6 + 4032000*ln2*s7a - 
    8512000*ln2*s7b + 64014650*s8a + 310912000*s8b + 51072000*s8c + 
    24192000*s8d - 86016000*s6*z2 + 4838400*li4half*z2^2 + 
    201600*ln2^4*z2^2 + 10197600*ln2^2*z2^3 + 4186134*z2^4 - 
    48384000*li5half*z3 + 403200*ln2^5*z3 - 4032000*ln2^3*z2*z3 - 
    49043400*ln2*z2^2*z3 - 2142000*ln2^2*z3^2 - 52710000*z2*z3^2 + 
    12152000*ln2^3*z5 - 127820000*ln2*z2*z5 + 88905250*z3*z5 - 
    60424875*ln2*z7)/1568000, H[-1, 0, 0, 0, -1, 1, -1, -1, 1] -> 
  (-9576000*ln2^2*s6 - 4704000*ln2*s7b + 48656475*s8a + 285936000*s8b + 
    30912000*s8c + 25536000*s8d - 4704000*li5half*ln2*z2 + 39200*ln2^6*z2 - 
    79296000*s6*z2 + 6871200*li4half*z2^2 - 1869700*ln2^4*z2^2 + 
    6690600*ln2^2*z2^3 + 6242106*z2^4 - 48720000*li5half*z3 - 
    10584000*li4half*ln2*z3 - 35000*ln2^5*z3 - 6706000*ln2^3*z2*z3 - 
    36283800*ln2*z2^2*z3 - 2178750*ln2^2*z3^2 - 38545500*z2*z3^2 + 
    4557000*ln2^3*z5 - 84614250*ln2*z2*z5 + 56175000*z3*z5 - 
    112271250*ln2*z7)/4704000, H[-1, 0, 0, 0, -1, 0, 1, 1, 1] -> 
  (6048000*ln2^2*s6 - 12096000*ln2*s7a + 6720000*ln2*s7b - 16552725*s8a - 
    104496000*s8b - 6720000*s8c - 12096000*s8d + 43008000*s6*z2 - 
    2419200*li4half*z2^2 - 100800*ln2^4*z2^2 - 1814400*ln2^2*z2^3 - 
    508596*z2^4 + 24192000*li5half*z3 - 201600*ln2^5*z3 + 
    2016000*ln2^3*z2*z3 + 12881400*ln2*z2^2*z3 - 7560000*ln2^2*z3^2 + 
    4819500*z2*z3^2 - 12152000*ln2^3*z5 + 1302000*ln2*z2*z5 - 
    12124875*z3*z5 + 45887625*ln2*z7)/4704000, 
 H[-1, 0, 0, 0, -1, 0, 1, 0, 1] -> (146475*s8a + 1176000*s8b - 336000*s6*z2 + 
    150716*z2^4 - 214200*ln2*z2^2*z3 + 267750*z2*z3^2 + 651000*ln2*z2*z5 - 
    1315125*z3*z5 - 1680000*ln2*z7)/168000, 
 H[-1, 0, 0, 0, -1, 0, 1, -1, 1] -> (-37632000*ln2^2*s6 + 12096000*ln2*s7a - 
    6720000*ln2*s7b + 60013800*s8a + 319536000*s8b + 51072000*s8c + 
    24192000*s8d - 86016000*s6*z2 + 2486400*li4half*z2^2 + 
    103600*ln2^4*z2^2 + 16094400*ln2^2*z2^3 + 10117458*z2^4 - 
    48384000*li5half*z3 + 14112000*li4half*ln2*z3 + 991200*ln2^5*z3 - 
    7560000*ln2^3*z2*z3 - 50156400*ln2*z2^2*z3 + 7938000*ln2^2*z3^2 - 
    47565000*z2*z3^2 + 12152000*ln2^3*z5 - 123700500*ln2*z2*z5 + 
    57471750*z3*z5 - 111229125*ln2*z7)/4704000, 
 H[-1, 0, 0, 0, -1, 0, 0, 1, 1] -> (21735*s8a + 141120*s8b - 53760*s6*z2 + 
    3212*z2^4 - 7560*ln2*z2^2*z3 + 1260*z2*z3^2 - 21840*ln2*z2*z5 - 
    24255*z3*z5 - 41790*ln2*z7)/13440, H[-1, 0, 0, 0, -1, 0, 0, 0, 1] -> 
  (-53550*s8a - 560000*s8b - 59523*z2^4 + 341250*z3*z5 + 560000*ln2*z7)/
   28000, H[-1, 0, 0, 0, -1, 0, 0, -1, 1] -> 
  (2325*s8a - 168000*s8b - 19200*s6*z2 - 35938*z2^4 + 4500*z2*z3^2 + 
    48000*ln2*z2*z5 + 137475*z3*z5 + 315600*ln2*z7)/9600, 
 H[-1, 0, 0, 0, -1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    10080000*ln2^2*s6 + 36288000*ln2*s7a - 76608000*ln2*s7b + 31731525*s8a + 
    151200000*s8b + 20160000*s8c - 20160000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 16128000*s6*z2 + 29836800*li4half*z2^2 - 
    2284800*ln2^4*z2^2 - 33717600*ln2^2*z2^3 + 9851364*z2^4 + 
    40320000*li5half*z3 - 42336000*li4half*ln2*z3 - 2100000*ln2^5*z3 + 
    13944000*ln2^3*z2*z3 + 13129200*ln2*z2^2*z3 + 30618000*ln2^2*z3^2 - 
    3654000*z2*z3^2 + 109368000*ln2^3*z5 + 172494000*ln2*z2*z5 - 
    85617000*z3*z5 - 446583375*ln2*z7)/14112000, 
 H[-1, 0, 0, 0, -1, 0, -1, 0, 1] -> 
  (-458850*s8a - 2184000*s8b + 336000*s6*z2 - 78131*z2^4 + 
    470400*ln2*z2^2*z3 + 173250*z2*z3^2 + 21000*z3*z5 + 1680000*ln2*z7)/
   168000, H[-1, 0, 0, 0, -1, 0, -1, -1, 1] -> 
  (18144000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 48656475*s8a - 
    285936000*s8b - 30912000*s8c - 25536000*s8d + 79296000*s6*z2 - 
    5107200*li4half*z2^2 - 212800*ln2^4*z2^2 - 4771200*ln2^2*z2^3 - 
    6910956*z2^4 + 51072000*li5half*z3 - 425600*ln2^5*z3 + 
    4256000*ln2^3*z2*z3 + 33558000*ln2*z2^2*z3 - 14448000*ln2^2*z3^2 + 
    39207000*z2*z3^2 - 36456000*ln2^3*z5 + 29484000*ln2*z2*z5 - 
    60346125*z3*z5 + 223537125*ln2*z7)/4704000, 
 H[-1, 0, 0, 0, -1, -1, 1, 1, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 - 2923200*ln2^2*s6 - 
    940800*ln2*s7a + 940800*ln2*s7b + 8183175*s8a + 45964800*s8b + 
    5376000*s8c + 6384000*s8d - 3763200*li5half*ln2*z2 - 
    1411200*li4half*ln2^2*z2 - 27440*ln2^6*z2 - 17472000*s6*z2 - 
    87360*li4half*z2^2 - 376040*ln2^4*z2^2 + 1471680*ln2^2*z2^3 - 
    703872*z2^4 - 10416000*li5half*z3 + 1176000*li4half*ln2*z3 + 
    135800*ln2^5*z3 - 809200*ln2^3*z2*z3 - 7246680*ln2*z2^2*z3 - 
    925050*ln2^2*z3^2 - 7523250*z2*z3^2 - 1063300*ln2^3*z5 - 
    16730700*ln2*z2*z5 + 19978875*z3*z5 + 4704000*ln2*z7)/940800, 
 H[-1, 0, 0, 0, -1, -1, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    17568000*ln2^2*s6 - 7488000*ln2*s7a + 576000*ln2*s7b - 33495525*s8a - 
    196560000*s8b - 20160000*s8c - 28224000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 79128000*s6*z2 - 504000*li4half*z2^2 - 
    525000*ln2^4*z2^2 - 8650800*ln2^2*z2^3 + 3139596*z2^4 + 
    56448000*li5half*z3 - 6048000*li4half*ln2*z3 - 722400*ln2^5*z3 + 
    6216000*ln2^3*z2*z3 + 34572600*ln2*z2^2*z3 - 6525000*ln2^2*z3^2 + 
    27263250*z2*z3^2 - 7812000*ln2^3*z5 + 63418500*ln2*z2*z5 - 
    87971625*z3*z5 - 4269375*ln2*z7)/2016000, 
 H[-1, 0, 0, 0, -1, -1, 1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    71568000*ln2^2*s6 - 28224000*ln2*s7a - 56448000*ln2*s7b - 194775525*s8a - 
    1094688000*s8b - 86688000*s8c - 181440000*s8d - 28224000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 940800*ln2^6*z2 + 496944000*s6*z2 + 
    39211200*li4half*z2^2 + 23977800*ln2^4*z2^2 - 59043600*ln2^2*z2^3 + 
    34153416*z2^4 + 376992000*li5half*z3 - 70560000*li4half*ln2*z3 - 
    6081600*ln2^5*z3 + 22596000*ln2^3*z2*z3 + 253776600*ln2*z2^2*z3 - 
    23089500*ln2^2*z3^2 + 150349500*z2*z3^2 + 4557000*ln2^3*z5 + 
    528412500*ln2*z2*z5 - 635992875*z3*z5 - 506488500*ln2*z7)/28224000, 
 H[-1, 0, 0, 0, -1, -1, 0, 1, 1] -> (-2688000*ln2^2*s6 + 5376000*ln2*s7a + 
    5376000*ln2*s7b - 2001825*s8a + 16128000*s8b - 5376000*s8c + 
    5376000*s8d - 22512000*s6*z2 + 1075200*li4half*z2^2 + 44800*ln2^4*z2^2 + 
    806400*ln2^2*z2^3 - 1820552*z2^4 - 10752000*li5half*z3 + 89600*ln2^5*z3 - 
    896000*ln2^3*z2*z3 - 3565800*ln2*z2^2*z3 + 3360000*ln2^2*z3^2 + 
    10059000*z2*z3^2 + 12096000*ln2*z2*z5 - 8623125*z3*z5 + 27111000*ln2*z7)/
   4704000, H[-1, 0, 0, 0, -1, -1, 0, 0, 1] -> 
  (-16800*s8b - 5170*z2^4 + 4704*ln2*z2^2*z3 - 5880*z2*z3^2 + 35595*z3*z5 + 
    20160*ln2*z7)/6720, H[-1, 0, 0, 0, -1, -1, 0, -1, 1] -> 
  (-1075200*ln2*s7a - 1075200*ln2*s7b + 2106825*s8a - 4099200*s8b + 
    2150400*s8c - 2150400*s8d + 3124800*s6*z2 - 430080*li4half*z2^2 - 
    17920*ln2^4*z2^2 - 134400*ln2^2*z2^3 - 573068*z2^4 + 4300800*li5half*z3 - 
    35840*ln2^5*z3 + 358400*ln2^3*z2*z3 - 117600*ln2*z2^2*z3 - 
    1646400*ln2^2*z3^2 - 2031750*z2*z3^2 - 1205400*ln2*z2*z5 + 
    3791025*z3*z5 + 2978850*ln2*z7)/940800, 
 H[-1, 0, 0, 0, -1, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    38304000*ln2*s7a - 46368000*ln2*s7b + 55575450*s8a + 476784000*s8b + 
    36288000*s8c + 34272000*s8d - 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 - 160272000*s6*z2 + 
    23788800*li4half*z2^2 - 9004800*ln2^4*z2^2 - 26460000*ln2^2*z2^3 + 
    16216272*z2^4 - 33264000*li5half*z3 - 21168000*li4half*ln2*z3 - 
    604800*ln2^5*z3 + 18396000*ln2^3*z2*z3 - 32104800*ln2*z2^2*z3 + 
    7717500*ln2^2*z3^2 - 15088500*z2*z3^2 + 72912000*ln2^3*z5 + 
    59094000*ln2*z2*z5 - 72481500*z3*z5 - 320268375*ln2*z7)/28224000, 
 H[-1, 0, 0, 0, -1, -1, -1, 0, 1] -> 
  (-62300*s8a - 756000*s8b + 140000*s6*z2 - 75248*z2^4 + 142800*ln2*z2^2*z3 - 
    48125*z2*z3^2 - 108500*ln2*z2*z5 + 424375*z3*z5 + 763000*ln2*z7)/112000, 
 H[-1, 0, 0, 0, -1, -1, -1, -1, 1] -> 
  (18144000*ln2^2*s6 - 22176000*ln2*s7a + 15456000*ln2*s7b - 34414275*s8a - 
    267624000*s8b - 15456000*s8c - 36288000*s8d + 98448000*s6*z2 - 
    7257600*li4half*z2^2 - 302400*ln2^4*z2^2 - 5443200*ln2^2*z2^3 - 
    3722304*z2^4 + 72576000*li5half*z3 - 604800*ln2^5*z3 + 
    6048000*ln2^3*z2*z3 + 31411800*ln2*z2^2*z3 - 22680000*ln2^2*z3^2 + 
    22837500*z2*z3^2 - 33418000*ln2^3*z5 + 9198000*ln2*z2*z5 - 
    54565875*z3*z5 + 171950625*ln2*z7)/9408000, 
 H[-1, 0, 0, -1, 1, 1, 1, 1, 1] -> 
  (8467200*li4half^2 + 22579200*li7half*ln2 + 5644800*li6half*ln2^2 + 
    1881600*li5half*ln2^3 + 1176000*li4half*ln2^4 + 21980*ln2^8 + 
    201600*ln2^2*s6 + 14112000*ln2*s7b + 7749000*s8a + 68947200*s8b - 
    3225600*s8c + 17337600*s8d - 5644800*li6half*z2 - 
    22579200*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 98000*ln2^6*z2 - 
    40320000*s6*z2 - 2036160*li4half*z2^2 - 408240*ln2^4*z2^2 + 
    3376800*ln2^2*z2^3 - 1191384*z2^4 - 14212800*li5half*z3 + 
    2116800*li4half*ln2*z3 + 206640*ln2^5*z3 - 1713600*ln2^3*z2*z3 - 
    12589920*ln2*z2^2*z3 - 3184650*ln2^2*z3^2 + 2176650*z2*z3^2 - 
    20962200*ln2^3*z5 - 10168200*ln2*z2*z5 + 3833550*z3*z5 + 37892925*ln2*z7)/
   5644800, H[-1, 0, 0, -1, 1, 1, 1, 0, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    247968000*ln2^2*s6 - 86688000*ln2*s7a + 12096000*ln2*s7b - 
    472060575*s8a - 2292192000*s8b - 322560000*s8c - 213696000*s8d + 
    28224000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 3292800*ln2^6*z2 + 
    716688000*s6*z2 + 71568000*li4half*z2^2 + 3570000*ln2^4*z2^2 - 
    100573200*ln2^2*z2^3 - 33141132*z2^4 + 370944000*li5half*z3 - 
    155232000*li4half*ln2*z3 - 9559200*ln2^5*z3 + 69720000*ln2^3*z2*z3 + 
    445082400*ln2*z2^2*z3 - 63000000*ln2^2*z3^2 + 329568750*z2*z3^2 - 
    95697000*ln2^3*z5 + 819693000*ln2*z2*z5 - 605752875*z3*z5 + 
    249306750*ln2*z7)/28224000, H[-1, 0, 0, -1, 1, 1, 1, -1, 1] -> 
  (-16128000*li4half^2 - 26880000*li8half - 10752000*li7half*ln2 - 
    896000*li5half*ln2^3 - 1568000*li4half*ln2^4 - 28400*ln2^8 + 
    6384000*ln2^2*s6 - 6720000*ln2*s7a - 17472000*ln2*s7b - 6781425*s8a - 
    73752000*s8b + 672000*s8c - 9408000*s8d - 2688000*li5half*ln2*z2 - 
    2688000*li4half*ln2^2*z2 - 134400*ln2^6*z2 + 23184000*s6*z2 + 
    10752000*li4half*z2^2 + 1920800*ln2^4*z2^2 - 4718400*ln2^2*z2^3 - 
    1989888*z2^4 + 20160000*li5half*z3 - 21840000*li4half*ln2*z3 - 
    1078000*ln2^5*z3 + 3864000*ln2^3*z2*z3 + 25095000*ln2*z2^2*z3 - 
    8494500*ln2^2*z3^2 + 1753500*z2*z3^2 + 13888000*ln2^3*z5 + 
    45780000*ln2*z2*z5 + 879375*z3*z5 - 43653750*ln2*z7)/2688000, 
 H[-1, 0, 0, -1, 1, 1, 0, 1, 1] -> (-34944000*ln2^2*s6 + 32256000*ln2*s7a - 
    71232000*ln2*s7b + 42709800*s8a + 30912000*s8b + 61824000*s8c - 
    61824000*s8d + 75264000*li5half*ln2*z2 + 9408000*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 + 118944000*s6*z2 - 19185600*li4half*z2^2 + 
    3120600*ln2^4*z2^2 - 2024400*ln2^2*z2^3 + 29721628*z2^4 + 
    76608000*li5half*z3 + 18816000*li4half*ln2*z3 + 145600*ln2^5*z3 + 
    1680000*ln2^3*z2*z3 - 18366600*ln2*z2^2*z3 + 34419000*ln2^2*z3^2 - 
    46441500*z2*z3^2 + 100254000*ln2^3*z5 - 42819000*ln2*z2*z5 - 
    46134375*z3*z5 - 385239750*ln2*z7)/9408000, 
 H[-1, 0, 0, -1, 1, 1, 0, 0, 1] -> (-27888000*ln2^2*s6 + 6048000*ln2*s7a - 
    8064000*ln2*s7b + 63038850*s8a + 339360000*s8b + 43680000*s8c + 
    40992000*s8d - 120204000*s6*z2 + 6552000*li4half*z2^2 + 
    273000*ln2^4*z2^2 + 13032600*ln2^2*z2^3 - 981619*z2^4 - 
    74928000*li5half*z3 + 624400*ln2^5*z3 - 6244000*ln2^3*z2*z3 - 
    52485300*ln2*z2^2*z3 + 1417500*ln2^2*z3^2 - 49315875*z2*z3^2 + 
    13671000*ln2^3*z5 - 106911000*ln2*z2*z5 + 115662750*z3*z5 - 
    53970000*ln2*z7)/2352000, H[-1, 0, 0, -1, 1, 1, 0, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    3427200*ln2^2*s6 + 5644800*ln2*s7a + 14112000*ln2*s7b - 16520175*s8a - 
    31651200*s8b - 18144000*s8c + 1209600*s8d - 4233600*li4half*ln2^2*z2 - 
    176400*ln2^6*z2 + 9576000*s6*z2 - 8366400*li4half*z2^2 + 
    4200*ln2^4*z2^2 - 446040*ln2^2*z2^3 + 4342722*z2^4 - 2419200*li5half*z3 + 
    14112000*li4half*ln2*z3 + 608160*ln2^5*z3 - 3729600*ln2^3*z2*z3 - 
    3107160*ln2*z2^2*z3 + 9607500*ln2^2*z3^2 + 15250725*z2*z3^2 - 
    8202600*ln2^3*z5 + 5657400*ln2*z2*z5 - 33448275*z3*z5 + 30087225*ln2*z7)/
   2822400, H[-1, 0, 0, -1, 1, 1, -1, 1, 1] -> 
  (37632000*li4half^2 - 75264000*li7half*ln2 - 28224000*li6half*ln2^2 + 
    2352000*li4half*ln2^4 + 8400*ln2^8 - 23016000*ln2^2*s6 - 
    8064000*ln2*s7a + 34272000*ln2*s7b + 56652225*s8a + 295680000*s8b + 
    22176000*s8c + 48384000*s8d + 28224000*li6half*z2 + 
    9408000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 - 
    112056000*s6*z2 - 17841600*li4half*z2^2 - 7632800*ln2^4*z2^2 + 
    8223600*ln2^2*z2^3 - 10614084*z2^4 - 102648000*li5half*z3 + 
    35280000*li4half*ln2*z3 + 2325400*ln2^5*z3 + 5558000*ln2^3*z2*z3 - 
    84835800*ln2*z2^2*z3 + 4331250*ln2^2*z3^2 - 49376250*z2*z3^2 - 
    41013000*ln2^3*z5 - 173376000*ln2*z2*z5 + 179697000*z3*z5 + 
    230658750*ln2*z7)/9408000, H[-1, 0, 0, -1, 1, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 - 
    5040000*ln2^2*s6 - 4032000*ln2*s7a - 8064000*ln2*s7b + 13488300*s8a + 
    46368000*s8b + 18144000*s8c - 6048000*s8d + 3024000*li4half*ln2^2*z2 + 
    126000*ln2^6*z2 + 6048000*s6*z2 + 4435200*li4half*z2^2 - 
    67200*ln2^4*z2^2 - 365400*ln2^2*z2^3 + 5007348*z2^4 + 
    12096000*li5half*z3 - 7056000*li4half*ln2*z3 - 394800*ln2^5*z3 + 
    2772000*ln2^3*z2*z3 - 1020600*ln2*z2^2*z3 - 7591500*ln2^2*z3^2 - 
    13316625*z2*z3^2 + 3906000*ln2^3*z5 - 30618000*ln2*z2*z5 - 
    10426500*z3*z5 - 52227000*ln2*z7)/2016000, 
 H[-1, 0, 0, -1, 1, 1, -1, -1, 1] -> 
  (-564480000*li8half + 150528000*li7half*ln2 + 75264000*li6half*ln2^2 + 
    1568000*li4half*ln2^4 + 126000*ln2^8 + 164304000*ln2^2*s6 - 
    37632000*ln2*s7b - 363917925*s8a - 2110584000*s8b - 225120000*s8c - 
    278208000*s8d + 37632000*li5half*ln2*z2 - 9408000*li4half*ln2^2*z2 - 
    1646400*ln2^6*z2 + 808080000*s6*z2 - 55641600*li4half*z2^2 + 
    8932000*ln2^4*z2^2 - 42470400*ln2^2*z2^3 + 92006592*z2^4 + 
    537600000*li5half*z3 + 4704000*li4half*ln2*z3 - 4284000*ln2^5*z3 + 
    20692000*ln2^3*z2*z3 + 330418200*ln2*z2^2*z3 + 13282500*ln2^2*z3^2 + 
    270049500*z2*z3^2 + 36456000*ln2^3*z5 + 727545000*ln2*z2*z5 - 
    731117625*z3*z5 - 570433500*ln2*z7)/18816000, 
 H[-1, 0, 0, -1, 1, 0, 1, 1, 1] -> (-806400*li4half^2 - 67200*li4half*ln2^4 - 
    1400*ln2^8 - 1132800*ln2^2*s6 + 460800*ln2*s7a - 1420800*ln2*s7b + 
    2123625*s8a + 11558400*s8b + 1612800*s8c + 1881600*s8d + 
    403200*li4half*ln2^2*z2 + 16800*ln2^6*z2 - 5644800*s6*z2 + 
    772800*li4half*z2^2 - 18200*ln2^4*z2^2 + 605520*ln2^2*z2^3 - 
    592092*z2^4 - 4838400*li5half*z3 - 672000*li4half*ln2*z3 + 
    12320*ln2^5*z3 - 235200*ln2^3*z2*z3 - 1394160*ln2*z2^2*z3 + 
    416400*ln2^2*z3^2 - 1974000*z2*z3^2 + 2256800*ln2^3*z5 - 
    828600*ln2*z2*z5 + 8458800*z3*z5 - 5074500*ln2*z7)/268800, 
 H[-1, 0, 0, -1, 1, 0, 1, 0, 1] -> 
  (3225600*li4half^2 + 268800*li4half*ln2^4 + 5600*ln2^8 - 1036800*ln2^2*s6 + 
    1036800*ln2*s7a + 1036800*ln2*s7b + 935550*s8a + 4233600*s8b - 
    1612800*li4half*ln2^2*z2 - 67200*ln2^6*z2 - 806400*s6*z2 - 
    2257920*li4half*z2^2 + 107520*ln2^4*z2^2 + 97920*ln2^2*z2^3 + 
    762594*z2^4 + 3225600*li5half*z3 + 3628800*li4half*ln2*z3 + 
    124320*ln2^5*z3 - 638400*ln2^3*z2*z3 - 1492560*ln2*z2^2*z3 + 
    1296000*ln2^2*z3^2 + 396900*z2*z3^2 - 1092600*ln2*z2*z5 - 5918850*z3*z5 + 
    971325*ln2*z7)/403200, H[-1, 0, 0, -1, 1, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    116928000*ln2^2*s6 - 40320000*ln2*s7a + 121968000*ln2*s7b - 
    205542225*s8a - 1018584000*s8b - 153216000*s8c - 129024000*s8d + 
    14112000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 
    399168000*s6*z2 - 72374400*li4half*z2^2 - 8895600*ln2^4*z2^2 - 
    23360400*ln2^2*z2^3 + 31298544*z2^4 + 258048000*li5half*z3 + 
    88200000*li4half*ln2*z3 + 1524600*ln2^5*z3 - 546000*ln2^3*z2*z3 + 
    100825200*ln2*z2^2*z3 - 28854000*ln2^2*z3^2 + 168714000*z2*z3^2 - 
    168609000*ln2^3*z5 + 110297250*ln2*z2*z5 - 481887000*z3*z5 + 
    449127000*ln2*z7)/7056000, H[-1, 0, 0, -1, 1, 0, 0, 1, 1] -> 
  (6384000*ln2^2*s6 - 4838400*ln2*s7a + 6451200*ln2*s7b - 12389475*s8a - 
    64579200*s8b - 8736000*s8c - 8198400*s8d + 24864000*s6*z2 - 
    1639680*li4half*z2^2 - 68320*ln2^4*z2^2 - 1629600*ln2^2*z2^3 + 
    970227*z2^4 + 14515200*li5half*z3 - 120960*ln2^5*z3 + 
    1209600*ln2^3*z2*z3 + 8047620*ln2*z2^2*z3 - 3761100*ln2^2*z3^2 + 
    9830100*z2*z3^2 - 10936800*ln2^3*z5 + 6904800*ln2*z2*z5 - 
    25613175*z3*z5 + 29413125*ln2*z7)/470400, 
 H[-1, 0, 0, -1, 1, 0, 0, 0, 1] -> 
  (-179550*s8a - 1680000*s8b - 336000*s6*z2 + 504000*ln2^2*z2^3 - 
    276508*z2^4 + 88200*ln2*z2^2*z3 + 141750*z2*z3^2 + 1126125*z3*z5 + 
    1997625*ln2*z7)/112000, H[-1, 0, 0, -1, 1, 0, 0, -1, 1] -> 
  (-24192000*ln2^2*s6 + 8064000*ln2*s7a - 10752000*ln2*s7b + 43047550*s8a + 
    202720000*s8b + 32256000*s8c + 24192000*s8d - 78960000*s6*z2 + 
    4838400*li4half*z2^2 + 201600*ln2^4*z2^2 + 9676800*ln2^2*z2^3 - 
    4556957*z2^4 - 50736000*li5half*z3 + 422800*ln2^5*z3 - 
    4228000*ln2^3*z2*z3 - 32988900*ln2*z2^2*z3 + 5544000*ln2^2*z3^2 - 
    33894000*z2*z3^2 + 18228000*ln2^3*z5 - 60798500*ln2*z2*z5 + 
    97345500*z3*z5 - 21796250*ln2*z7)/784000, 
 H[-1, 0, 0, -1, 1, 0, -1, 1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    7459200*ln2^2*s6 + 5644800*ln2*s7a - 11289600*ln2*s7b - 6347250*s8a - 
    63100800*s8b + 3628800*s8c - 20563200*s8d + 62092800*li5half*ln2*z2 + 
    11289600*li4half*ln2^2*z2 - 47040*ln2^6*z2 + 49593600*s6*z2 - 
    10039680*li4half*z2^2 + 1228080*ln2^4*z2^2 + 8235360*ln2^2*z2^3 + 
    8032356*z2^4 - 5443200*li5half*z3 - 5644800*li4half*ln2*z3 - 
    189840*ln2^5*z3 + 957600*ln2^3*z2*z3 + 1348200*ln2*z2^2*z3 + 
    6545700*ln2^2*z3^2 + 1908900*z2*z3^2 + 16405200*ln2^3*z5 - 
    39727800*ln2*z2*z5 - 7611975*z3*z5 - 59777550*ln2*z7)/2822400, 
 H[-1, 0, 0, -1, 1, 0, -1, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    2880000*ln2^2*s6 - 2880000*ln2*s7a - 2880000*ln2*s7b - 1786050*s8a - 
    9072000*s8b + 8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 - 
    4032000*s6*z2 + 10080000*li4half*z2^2 - 588000*ln2^4*z2^2 - 
    1728000*ln2^2*z2^3 - 2981838*z2^4 + 12096000*li5half*z3 - 
    10080000*li4half*ln2*z3 - 520800*ln2^5*z3 + 3528000*ln2^3*z2*z3 + 
    11412000*ln2*z2^2*z3 - 3600000*ln2^2*z3^2 + 2362500*z2*z3^2 + 
    8460000*ln2*z2*z5 - 10631250*z3*z5 - 2498625*ln2*z7)/2016000, 
 H[-1, 0, 0, -1, 1, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    58296000*ln2^2*s6 + 9408000*ln2*s7a - 37632000*ln2*s7b + 119747775*s8a + 
    528696000*s8b + 93072000*s8c + 62160000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 201936000*s6*z2 + 32659200*li4half*z2^2 - 
    403200*ln2^4*z2^2 + 21957600*ln2^2*z2^3 - 17782746*z2^4 - 
    126672000*li5half*z3 - 37632000*li4half*ln2*z3 - 512400*ln2^5*z3 - 
    1148000*ln2^3*z2*z3 - 72693600*ln2*z2^2*z3 - 3790500*ln2^2*z3^2 - 
    98432250*z2*z3^2 + 45570000*ln2^3*z5 - 153861750*ln2*z2*z5 + 
    277215750*z3*z5 - 87648750*ln2*z7)/4704000, 
 H[-1, 0, 0, -1, 1, -1, 1, 1, 1] -> 
  (112896000*li8half - 90316800*li7half*ln2 - 11289600*li6half*ln2^2 - 
    7526400*li5half*ln2^3 + 67760*ln2^8 + 106444800*ln2^2*s6 - 
    12902400*ln2*s7a - 18547200*ln2*s7b - 195796125*s8a - 833716800*s8b - 
    161683200*s8c - 55641600*s8d + 11289600*li6half*z2 + 
    56448000*li5half*ln2*z2 - 1301440*ln2^6*z2 + 207244800*s6*z2 - 
    6894720*li4half*z2^2 + 3981600*ln2^4*z2^2 - 54220320*ln2^2*z2^3 - 
    31093128*z2^4 + 50601600*li5half*z3 - 25401600*li4half*ln2*z3 - 
    1480080*ln2^5*z3 + 19034400*ln2^3*z2*z3 + 160944840*ln2*z2^2*z3 + 
    10489500*ln2^2*z3^2 + 154028700*z2*z3^2 + 29164800*ln2^3*z5 + 
    473734800*ln2*z2*z5 - 187243875*z3*z5 + 70982100*ln2*z7)/11289600, 
 H[-1, 0, 0, -1, 1, -1, 1, 0, 1] -> (-27888000*ln2^2*s6 + 3696000*ln2*s7a - 
    8064000*ln2*s7b + 62822025*s8a + 298200000*s8b + 48384000*s8c + 
    26880000*s8d - 2352000*li5half*ln2*z2 + 19600*ln2^6*z2 - 91392000*s6*z2 + 
    5376000*li4half*z2^2 - 1736000*ln2^4*z2^2 + 12150600*ln2^2*z2^3 + 
    1492104*z2^4 - 49056000*li5half*z3 + 408800*ln2^5*z3 - 
    4088000*ln2^3*z2*z3 - 45811500*ln2*z2^2*z3 - 2184000*ln2^2*z3^2 - 
    49518000*z2*z3^2 + 11392500*ln2^3*z5 - 113691375*ln2*z2*z5 + 
    91977375*z3*z5 - 54760125*ln2*z7)/1176000, 
 H[-1, 0, 0, -1, 1, -1, 1, -1, 1] -> 
  (112896000*li7half*ln2 + 9408000*li5half*ln2^3 - 100800*ln2^8 - 
    110880000*ln2^2*s6 + 14112000*ln2*s7a - 14112000*ln2*s7b + 
    243879300*s8a + 1225728000*s8b + 193536000*s8c + 88704000*s8d - 
    28224000*li5half*ln2*z2 + 1489600*ln2^6*z2 - 318528000*s6*z2 + 
    17740800*li4half*z2^2 - 1965600*ln2^4*z2^2 + 67586400*ln2^2*z2^3 + 
    30707928*z2^4 - 163296000*li5half*z3 + 1360800*ln2^5*z3 - 
    34776000*ln2^3*z2*z3 - 177849000*ln2*z2^2*z3 - 9576000*ln2^2*z3^2 - 
    194544000*z2*z3^2 - 2278500*ln2^3*z5 - 456466500*ln2*z2*z5 + 
    246597750*z3*z5 - 511394625*ln2*z7)/14112000, 
 H[-1, 0, 0, -1, 1, -1, 0, 1, 1] -> (-5712000*ln2^2*s6 - 26880000*ln2*s7a + 
    57792000*ln2*s7b + 23638650*s8a + 133728000*s8b + 18144000*s8c + 
    10080000*s8d - 56448000*li5half*ln2*z2 + 470400*ln2^6*z2 - 
    34272000*s6*z2 - 336000*li4half*z2^2 - 4718000*ln2^4*z2^2 + 
    5140800*ln2^2*z2^3 + 5258884*z2^4 + 15120000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 462000*ln2^5*z3 - 2268000*ln2^3*z2*z3 - 
    38362800*ln2*z2^2*z3 - 31447500*ln2^2*z3^2 - 15151500*z2*z3^2 - 
    82026000*ln2^3*z5 - 162309000*ln2*z2*z5 - 20419875*z3*z5 + 
    252139125*ln2*z7)/4704000, H[-1, 0, 0, -1, 1, -1, 0, 0, 1] -> 
  (60480000*ln2^2*s6 - 12096000*ln2*s7a + 16128000*ln2*s7b - 133607775*s8a - 
    684600000*s8b - 96768000*s8c - 72576000*s8d + 223944000*s6*z2 - 
    14515200*li4half*z2^2 - 604800*ln2^4*z2^2 - 25477200*ln2^2*z2^3 - 
    1097099*z2^4 + 138096000*li5half*z3 - 1150800*ln2^5*z3 + 
    11508000*ln2^3*z2*z3 + 106161300*ln2*z2^2*z3 - 1512000*ln2^2*z3^2 + 
    105798000*z2*z3^2 - 27342000*ln2^3*z5 + 242046000*ln2*z2*z5 - 
    223534500*z3*z5 + 115675875*ln2*z7)/2352000, 
 H[-1, 0, 0, -1, 1, -1, 0, -1, 1] -> 
  (-9408000*ln2^2*s6 + 2688000*ln2*s7a - 6720000*ln2*s7b + 5807550*s8a - 
    87360000*s8b + 13440000*s8c - 13440000*s8d + 9408000*li5half*ln2*z2 - 
    78400*ln2^6*z2 + 15120000*s6*z2 - 5040000*li4half*z2^2 + 
    574000*ln2^4*z2^2 + 3981600*ln2^2*z2^3 - 10635652*z2^4 + 
    22176000*li5half*z3 + 14112000*li4half*ln2*z3 + 403200*ln2^5*z3 - 
    1680000*ln2^3*z2*z3 - 2734200*ln2*z2^2*z3 + 1470000*ln2^2*z3^2 - 
    4494000*z2*z3^2 + 9114000*ln2^3*z5 - 6247500*ln2*z2*z5 + 44278500*z3*z5 + 
    120994125*ln2*z7)/4704000, H[-1, 0, 0, -1, 1, -1, -1, 1, 1] -> 
  (11289600*li4half^2 + 112896000*li8half - 45158400*li7half*ln2 - 
    11289600*li6half*ln2^2 + 3763200*li5half*ln2^3 + 940800*li4half*ln2^4 - 
    15680*ln2^8 - 39379200*ln2^2*s6 - 7795200*ln2*s7a + 14784000*ln2*s7b + 
    96025125*s8a + 535684800*s8b + 78355200*s8c + 39244800*s8d + 
    11289600*li6half*z2 + 18816000*li5half*ln2*z2 + 
    11289600*li4half*ln2^2*z2 + 611520*ln2^6*z2 - 129292800*s6*z2 + 
    510720*li4half*z2^2 - 4255440*ln2^4*z2^2 + 14387520*ln2^2*z2^3 + 
    2256864*z2^4 - 93072000*li5half*z3 + 2822400*li4half*ln2*z3 + 
    893200*ln2^5*z3 - 5639200*ln2^3*z2*z3 - 88614120*ln2*z2^2*z3 - 
    20233500*ln2^2*z3^2 - 80125500*z2*z3^2 - 27038200*ln2^3*z5 - 
    308246400*ln2*z2*z5 + 100597875*z3*z5 + 89365500*ln2*z7)/3763200, 
 H[-1, 0, 0, -1, 1, -1, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    181104000*ln2^2*s6 - 44352000*ln2*s7a + 26208000*ln2*s7b - 
    374297700*s8a - 1952496000*s8b - 273504000*s8c - 206304000*s8d + 
    28224000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 940800*ln2^6*z2 + 
    640752000*s6*z2 - 3628800*li4half*z2^2 + 9256800*ln2^4*z2^2 - 
    88569600*ln2^2*z2^3 - 10310712*z2^4 + 405552000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 5437600*ln2^5*z3 + 46144000*ln2^3*z2*z3 + 
    337512000*ln2*z2^2*z3 - 16978500*ln2^2*z3^2 + 297738000*z2*z3^2 - 
    68355000*ln2^3*z5 + 702586500*ln2*z2*z5 - 646933875*z3*z5 + 
    249894750*ln2*z7)/9408000, H[-1, 0, 0, -1, 1, -1, -1, -1, 1] -> 
  (-127008000*li4half^2 + 338688000*li7half*ln2 + 56448000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 - 10584000*li4half*ln2^4 + 25900*ln2^8 + 
    76104000*ln2^2*s6 - 12096000*ln2*s7a - 139104000*ln2*s7b - 
    235481400*s8a - 1813896000*s8b - 120960000*s8c - 217728000*s8d + 
    84672000*li5half*ln2*z2 + 63504000*li4half*ln2^2*z2 - 176400*ln2^6*z2 + 
    604800000*s6*z2 + 43948800*li4half*z2^2 + 11533200*ln2^4*z2^2 - 
    46972800*ln2^2*z2^3 - 60179184*z2^4 + 393120000*li5half*z3 - 
    148176000*li4half*ln2*z3 - 9450000*ln2^5*z3 + 69804000*ln2^3*z2*z3 + 
    309456000*ln2*z2^2*z3 - 8694000*ln2^2*z3^2 + 162162000*z2*z3^2 + 
    161773500*ln2^3*z5 + 769072500*ln2*z2*z5 - 228170250*z3*z5 - 
    300738375*ln2*z7)/28224000, H[-1, 0, 0, -1, 0, 1, 1, 1, 1] -> 
  (-1411200*li4half^2 - 117600*li4half*ln2^4 - 2450*ln2^8 + 756000*ln2^2*s6 - 
    2923200*ln2*s7a + 604800*ln2*s7b - 1937250*s8a - 17236800*s8b + 
    806400*s8c - 4334400*s8d + 705600*li4half*ln2^2*z2 + 29400*ln2^6*z2 + 
    12196800*s6*z2 - 196560*li4half*z2^2 - 96390*ln2^4*z2^2 - 
    570780*ln2^2*z2^3 + 1179531*z2^4 + 8668800*li5half*z3 - 72240*ln2^5*z3 + 
    722400*ln2^3*z2*z3 + 2978010*ln2*z2^2*z3 - 2025450*ln2^2*z3^2 - 
    1376550*z2*z3^2 - 2278500*ln2^3*z5 - 5915700*ln2*z2*z5 - 5704650*z3*z5 + 
    453600*ln2*z7)/1411200, H[-1, 0, 0, -1, 0, 1, 1, 0, 1] -> 
  (224175*s8a + 873600*s8b - 168000*s6*z2 + 37628*z2^4 - 269640*ln2*z2^2*z3 + 
    66150*z2*z3^2 + 325500*ln2*z2*z5 - 349125*z3*z5 - 867300*ln2*z7)/134400, 
 H[-1, 0, 0, -1, 0, 1, 1, -1, 1] -> (-68208000*ln2^2*s6 + 43680000*ln2*s7a - 
    17472000*ln2*s7b + 110603325*s8a + 713664000*s8b + 49056000*s8c + 
    115584000*s8d - 18816000*li5half*ln2*z2 + 156800*ln2^6*z2 - 
    313488000*s6*z2 + 25468800*li4half*z2^2 - 506800*ln2^4*z2^2 + 
    16220400*ln2^2*z2^3 - 15493908*z2^4 - 221760000*li5half*z3 - 
    14112000*li4half*ln2*z3 + 1260000*ln2^5*z3 + 924000*ln2^3*z2*z3 - 
    108691800*ln2*z2^2*z3 + 47701500*ln2^2*z3^2 - 72586500*z2*z3^2 + 
    51646000*ln2^3*z5 - 56007000*ln2*z2*z5 + 274997625*z3*z5 - 
    174877500*ln2*z7)/9408000, H[-1, 0, 0, -1, 0, 1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    10080000*ln2^2*s6 + 36288000*ln2*s7a + 36288000*ln2*s7b - 64064700*s8a - 
    46368000*s8b - 92736000*s8c + 92736000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 220752000*s6*z2 - 8265600*li4half*z2^2 + 
    3183600*ln2^4*z2^2 + 10735200*ln2^2*z2^3 - 44704662*z2^4 - 
    185472000*li5half*z3 + 1545600*ln2^5*z3 - 15456000*ln2^3*z2*z3 + 
    20714400*ln2*z2^2*z3 + 30618000*ln2^2*z3^2 + 90499500*z2*z3^2 + 
    209097000*ln2*z2*z5 + 111234375*z3*z5 + 325717875*ln2*z7)/14112000, 
 H[-1, 0, 0, -1, 0, 1, 0, 0, 1] -> 
  (75600*s8a - 49124*z2^4 + 126000*ln2*z2^2*z3 - 126000*z2*z3^2 + 
    433125*z3*z5 - 317625*ln2*z7)/112000, H[-1, 0, 0, -1, 0, 1, 0, -1, 1] -> 
  (-12096000*ln2*s7a - 12096000*ln2*s7b + 11876550*s8a - 25536000*s8b + 
    24192000*s8c - 24192000*s8d + 42504000*s6*z2 - 4838400*li4half*z2^2 - 
    201600*ln2^4*z2^2 - 1512000*ln2^2*z2^3 + 6318038*z2^4 + 
    48384000*li5half*z3 - 403200*ln2^5*z3 + 4032000*ln2^3*z2*z3 + 
    11377800*ln2*z2^2*z3 - 18522000*ln2^2*z3^2 - 14946750*z2*z3^2 - 
    30796500*ln2*z2*z5 - 27153000*z3*z5 - 43231125*ln2*z7)/4704000, 
 H[-1, 0, 0, -1, 0, 1, -1, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    122976000*ln2^2*s6 + 16128000*ln2*s7a - 40320000*ln2*s7b - 
    169956675*s8a - 887040000*s8b - 66528000*s8c - 145152000*s8d - 
    225792000*li5half*ln2*z2 - 112896000*li4half*ln2^2*z2 - 
    2822400*ln2^6*z2 + 290304000*s6*z2 + 44352000*li4half*z2^2 + 
    18312000*ln2^4*z2^2 - 86536800*ln2^2*z2^3 + 11299212*z2^4 + 
    431424000*li5half*z3 - 28224000*li4half*ln2*z3 - 4771200*ln2^5*z3 - 
    52248000*ln2^3*z2*z3 + 257707800*ln2*z2^2*z3 - 51849000*ln2^2*z3^2 + 
    176904000*z2*z3^2 + 54684000*ln2^3*z5 + 611730000*ln2*z2*z5 - 
    712459125*z3*z5 - 24176250*ln2*z7)/28224000, 
 H[-1, 0, 0, -1, 0, 1, -1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    1612800*ln2^2*s6 + 5644800*ln2*s7a + 5644800*ln2*s7b - 5017950*s8a + 
    5443200*s8b - 14515200*s8c + 14515200*s8d - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 - 24444000*s6*z2 - 4152960*li4half*z2^2 + 
    532560*ln2^4*z2^2 + 2162160*ln2^2*z2^3 - 5521773*z2^4 - 
    29030400*li5half*z3 + 7056000*li4half*ln2*z3 + 535920*ln2^5*z3 - 
    4183200*ln2^3*z2*z3 - 7342020*ln2*z2^2*z3 + 9097200*ln2^2*z3^2 + 
    5693625*z2*z3^2 + 26964000*ln2*z2*z5 + 34218450*z3*z5 + 26085150*ln2*z7)/
   1411200, H[-1, 0, 0, -1, 0, 1, -1, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    5644800*ln2^2*s6 + 1075200*ln2*s7a + 12364800*ln2*s7b - 19717425*s8a - 
    73046400*s8b - 20966400*s8c + 1209600*s8d - 3763200*li5half*ln2*z2 - 
    5644800*li4half*ln2^2*z2 - 203840*ln2^6*z2 + 7459200*s6*z2 - 
    7378560*li4half*z2^2 + 84560*ln2^4*z2^2 - 1765680*ln2^2*z2^3 - 
    2518188*z2^4 - 537600*li5half*z3 + 12230400*li4half*ln2*z3 + 
    514080*ln2^5*z3 + 72800*ln2^3*z2*z3 + 3692640*ln2*z2^2*z3 + 
    6218100*ln2^2*z3^2 + 18370800*z2*z3^2 - 10936800*ln2^3*z5 + 
    30032100*ln2*z2*z5 - 14294175*z3*z5 + 69271650*ln2*z7)/1881600, 
 H[-1, 0, 0, -1, 0, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    16128000*ln2^2*s6 + 18144000*ln2*s7a - 24192000*ln2*s7b + 50500800*s8a + 
    223776000*s8b + 38304000*s8c + 4032000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 - 50400000*s6*z2 + 7509600*li4half*z2^2 - 
    569100*ln2^4*z2^2 + 1398600*ln2^2*z2^3 + 9146808*z2^4 - 
    8064000*li5half*z3 + 67200*ln2^5*z3 - 672000*ln2^3*z2*z3 - 
    27083700*ln2*z2^2*z3 + 9355500*ln2^2*z3^2 - 27184500*z2*z3^2 + 
    27342000*ln2^3*z5 - 38115000*ln2*z2*z5 - 3504375*z3*z5 - 
    161910000*ln2*z7)/7056000, H[-1, 0, 0, -1, 0, 0, 1, 0, 1] -> 
  (-51975*s8a - 235200*s8b + 67200*s6*z2 - 16676*z2^4 + 17640*ln2*z2^2*z3 - 
    22050*z2*z3^2 - 130200*ln2*z2*z5 + 149625*z3*z5 + 399525*ln2*z7)/22400, 
 H[-1, 0, 0, -1, 0, 0, 1, -1, 1] -> (7392000*ln2^2*s6 - 2016000*ln2*s7a + 
    2688000*ln2*s7b - 14946575*s8a - 81032000*s8b - 10752000*s8c - 
    8064000*s8d + 25536000*s6*z2 - 1612800*li4half*z2^2 - 67200*ln2^4*z2^2 - 
    3586800*ln2^2*z2^3 - 975777*z2^4 + 16128000*li5half*z3 - 
    134400*ln2^5*z3 + 1344000*ln2^3*z2*z3 + 11121600*ln2*z2^2*z3 - 
    1008000*ln2^2*z3^2 + 11592000*z2*z3^2 - 3038000*ln2^3*z5 + 
    21395500*ln2*z2*z5 - 21693000*z3*z5 + 34325375*ln2*z7)/784000, 
 H[-1, 0, 0, -1, 0, 0, 0, 1, 1] -> (-127575*s8a - 784000*s8b + 672000*s6*z2 + 
    34598*z2^4 + 33600*ln2*z2^2*z3 - 220500*z2*z3^2 - 252000*ln2*z2*z5 + 
    433125*z3*z5 - 317625*ln2*z7)/112000, H[-1, 0, 0, -1, 0, 0, 0, 0, 1] -> 
  (89775*s8a + 840000*s8b + 108074*z2^4 - 590625*z3*z5 - 840000*ln2*z7)/
   56000, H[-1, 0, 0, -1, 0, 0, 0, -1, 1] -> 
  (-5425*s8a + 392000*s8b + 67200*s6*z2 + 87902*z2^4 + 5880*ln2*z2^2*z3 - 
    22050*z2*z3^2 - 112000*ln2*z2*z5 - 311850*z3*z5 - 825475*ln2*z7)/22400, 
 H[-1, 0, 0, -1, 0, 0, -1, 1, 1] -> 
  (-3*(32000*ln2^2*s6 + 192000*ln2*s7a - 256000*ln2*s7b + 33075*s8a + 
     168000*s8b - 224000*s6*z2 - 90800*ln2^2*z2^3 - 21603*z2^4 + 
     73600*ln2*z2^2*z3 + 156000*ln2^2*z3^2 + 84000*z2*z3^2 + 
     434000*ln2^3*z5 + 914750*ln2*z2*z5 - 126000*z3*z5 - 1058250*ln2*z7))/
   112000, H[-1, 0, 0, -1, 0, 0, -1, 0, 1] -> 
  (14175*s8a + 72000*s8b - 48000*s6*z2 - 1262*z2^4 - 12600*ln2*z2^2*z3 + 
    15750*z2*z3^2 - 34875*z3*z5 + 48000*ln2*z7)/16000, 
 H[-1, 0, 0, -1, 0, 0, -1, -1, 1] -> 
  (-31920000*ln2^2*s6 + 24192000*ln2*s7a - 32256000*ln2*s7b + 62991075*s8a + 
    372288000*s8b + 43680000*s8c + 40992000*s8d - 124320000*s6*z2 + 
    8198400*li4half*z2^2 + 341600*ln2^4*z2^2 + 8148000*ln2^2*z2^3 + 
    3773292*z2^4 - 81984000*li5half*z3 + 683200*ln2^5*z3 - 
    6832000*ln2^3*z2*z3 - 45221400*ln2*z2^2*z3 + 22407000*ln2^2*z3^2 - 
    49150500*z2*z3^2 + 54684000*ln2^3*z5 - 45108000*ln2*z2*z5 + 
    101146500*z3*z5 - 222017250*ln2*z7)/4704000, 
 H[-1, 0, 0, -1, 0, -1, 1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    24360000*ln2^2*s6 + 9408000*ln2*s7a - 9408000*ln2*s7b + 38147550*s8a + 
    119616000*s8b + 41664000*s8c - 18144000*s8d + 18816000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 431200*ln2^6*z2 + 18648000*s6*z2 + 
    8836800*li4half*z2^2 + 172200*ln2^4*z2^2 + 7455000*ln2^2*z2^3 + 
    15092568*z2^4 + 24528000*li5half*z3 - 4704000*li4half*ln2*z3 - 
    400400*ln2^5*z3 - 1190000*ln2^3*z2*z3 - 25378500*ln2*z2^2*z3 + 
    351750*ln2^2*z3^2 - 27021750*z2*z3^2 + 10633000*ln2^3*z5 - 
    111909000*ln2*z2*z5 - 32786250*z3*z5 - 81309375*ln2*z7)/4704000, 
 H[-1, 0, 0, -1, 0, -1, 1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    1612800*ln2^2*s6 + 5644800*ln2*s7a + 5644800*ln2*s7b - 7374150*s8a - 
    8265600*s8b - 8064000*s8c + 8064000*s8d - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 - 15422400*s6*z2 - 6289920*li4half*z2^2 + 
    443520*ln2^4*z2^2 + 2988720*ln2^2*z2^3 - 3078273*z2^4 - 
    16128000*li5half*z3 + 12700800*li4half*ln2*z3 + 663600*ln2^5*z3 - 
    4519200*ln2^3*z2*z3 - 4300380*ln2*z2^2*z3 + 8190000*ln2^2*z3^2 + 
    4791150*z2*z3^2 + 774900*ln2*z2*z5 + 20333250*z3*z5 + 55488825*ln2*z7)/
   1411200, H[-1, 0, 0, -1, 0, -1, 1, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    104832000*ln2^2*s6 - 8064000*ln2*s7a + 104832000*ln2*s7b - 
    243879300*s8a - 1225728000*s8b - 193536000*s8c - 88704000*s8d + 
    56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 705600*ln2^6*z2 + 
    318528000*s6*z2 - 103824000*li4half*z2^2 - 13734000*ln2^4*z2^2 - 
    21168000*ln2^2*z2^3 - 15025968*z2^4 + 149184000*li5half*z3 + 
    134064000*li4half*ln2*z3 + 4342800*ln2^5*z3 + 5376000*ln2^3*z2*z3 + 
    90468000*ln2*z2^2*z3 + 17136000*ln2^2*z3^2 + 194544000*z2*z3^2 - 
    86583000*ln2^3*z5 + 150727500*ln2*z2*z5 - 228296250*z3*z5 + 
    923524875*ln2*z7)/14112000, H[-1, 0, 0, -1, 0, -1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    38304000*ln2^2*s6 - 20160000*ln2*s7a - 20160000*ln2*s7b - 23944725*s8a - 
    166320000*s8b - 36288000*s8c + 36288000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 2016000*s6*z2 - 19555200*li4half*z2^2 + 
    2713200*ln2^4*z2^2 + 2268000*ln2^2*z2^3 - 30075096*z2^4 - 
    72576000*li5half*z3 + 604800*ln2^5*z3 - 6048000*ln2^3*z2*z3 + 
    37737000*ln2*z2^2*z3 - 4662000*ln2^2*z3^2 - 16443000*z2*z3^2 + 
    130599000*ln2*z2*z5 + 220657500*z3*z5 - 15175125*ln2*z7)/14112000, 
 H[-1, 0, 0, -1, 0, -1, 0, 0, 1] -> (47950*s8a + 336000*s8b + 45082*z2^4 - 
    76440*ln2*z2^2*z3 + 5600*z2*z3^2 - 216475*z3*z5 - 403200*ln2*z7)/22400, 
 H[-1, 0, 0, -1, 0, -1, 0, -1, 1] -> 
  (6720000*ln2*s7a + 6720000*ln2*s7b - 5807550*s8a + 87360000*s8b - 
    13440000*s8c + 13440000*s8d - 15120000*s6*z2 + 2688000*li4half*z2^2 + 
    112000*ln2^4*z2^2 + 840000*ln2^2*z2^3 + 11480902*z2^4 - 
    26880000*li5half*z3 + 224000*ln2^5*z3 - 2240000*ln2^3*z2*z3 - 
    5439000*ln2*z2^2*z3 + 10290000*ln2^2*z3^2 + 4567500*z2*z3^2 - 
    3895500*ln2*z2*z5 - 39060000*z3*z5 - 116290125*ln2*z7)/4704000, 
 H[-1, 0, 0, -1, 0, -1, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    33264000*ln2^2*s6 - 17472000*ln2*s7a + 24864000*ln2*s7b + 40483275*s8a + 
    81312000*s8b + 21504000*s8c + 34944000*s8d + 37632000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 901600*ln2^6*z2 - 58128000*s6*z2 - 
    8769600*li4half*z2^2 + 4534600*ln2^4*z2^2 + 38270400*ln2^2*z2^3 - 
    22031916*z2^4 - 93408000*li5half*z3 + 14112000*li4half*ln2*z3 + 
    1366400*ln2^5*z3 - 20132000*ln2^3*z2*z3 - 44196600*ln2*z2^2*z3 - 
    2152500*ln2^2*z3^2 - 50599500*z2*z3^2 - 36456000*ln2^3*z5 - 
    149604000*ln2*z2*z5 + 249259500*z3*z5 + 187404000*ln2*z7)/9408000, 
 H[-1, 0, 0, -1, 0, -1, -1, 0, 1] -> 
  (126000*s8a + 2150400*s8b - 336000*s6*z2 + 256766*z2^4 - 
    402360*ln2*z2^2*z3 + 165900*z2*z3^2 + 195300*ln2*z2*z5 - 1434825*z3*z5 - 
    2200800*ln2*z7)/134400, H[-1, 0, 0, -1, 0, -1, -1, -1, 1] -> 
  (-6832000*ln2^2*s6 + 7392000*ln2*s7a - 5936000*ln2*s7b + 13082300*s8a + 
    100772000*s8b + 6720000*s8c + 12096000*s8d - 33600000*s6*z2 + 
    2419200*li4half*z2^2 + 100800*ln2^4*z2^2 + 1951600*ln2^2*z2^3 + 
    2527928*z2^4 - 24192000*li5half*z3 + 201600*ln2^5*z3 - 
    2016000*ln2^3*z2*z3 - 11068400*ln2*z2^2*z3 + 7339500*ln2^2*z3^2 - 
    9009000*z2*z3^2 + 12152000*ln2^3*z5 - 6618500*ln2*z2*z5 + 
    15009750*z3*z5 - 71085875*ln2*z7)/1568000, 
 H[-1, 0, 0, -1, -1, 1, 1, 1, 1] -> 
  (-677376000*li8half + 338688000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 190400*ln2^8 - 
    235872000*ln2^2*s6 - 14112000*ln2*s7a - 14112000*ln2*s7b + 
    313365150*s8a + 1117872000*s8b + 274176000*s8c + 92736000*s8d + 
    56448000*li6half*z2 - 225792000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 + 1097600*ln2^6*z2 - 256032000*s6*z2 - 
    2620800*li4half*z2^2 + 1125600*ln2^4*z2^2 + 124941600*ln2^2*z2^3 + 
    66388824*z2^4 - 107856000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    1251600*ln2^5*z3 - 16044000*ln2^3*z2*z3 - 251092800*ln2*z2^2*z3 + 
    6205500*ln2^2*z3^2 - 329773500*z2*z3^2 + 22785000*ln2^3*z5 - 
    632457000*ln2*z2*z5 + 685030500*z3*z5 - 566188875*ln2*z7)/56448000, 
 H[-1, 0, 0, -1, -1, 1, 1, 0, 1] -> 
  (-16934400*li4half^2 - 1411200*li4half*ln2^4 - 29400*ln2^8 + 
    70761600*ln2^2*s6 - 22982400*ln2*s7a + 10886400*ln2*s7b - 135627975*s8a - 
    706809600*s8b - 95558400*s8c - 85075200*s8d - 22579200*li6half*z2 - 
    5644800*li5half*ln2*z2 + 11289600*li4half*ln2^2*z2 + 486080*ln2^6*z2 + 
    244944000*s6*z2 - 3467520*li4half*z2^2 + 2325120*ln2^4*z2^2 - 
    32815440*ln2^2*z2^3 + 6975288*z2^4 + 181440000*li5half*z3 - 
    9878400*li4half*ln2*z3 - 1923600*ln2^5*z3 + 16766400*ln2^3*z2*z3 + 
    123749640*ln2*z2^2*z3 - 14672700*ln2^2*z3^2 + 112527450*z2*z3^2 - 
    32810400*ln2^3*z5 + 260473500*ln2*z2*z5 - 293802075*z3*z5 + 
    44128350*ln2*z7)/5644800, H[-1, 0, 0, -1, -1, 1, 1, -1, 1] -> 
  (-75264000*li4half^2 + 413952000*li8half - 112896000*li7half*ln2 + 
    6272000*li5half*ln2^3 - 7840000*li4half*ln2^4 - 215600*ln2^8 + 
    1680000*ln2^2*s6 - 42336000*ln2*s7a - 14112000*ln2*s7b + 118226325*s8a + 
    759192000*s8b + 81312000*s8c + 64512000*s8d - 56448000*li5half*ln2*z2 - 
    9408000*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 201936000*s6*z2 + 
    70291200*li4half*z2^2 - 246400*ln2^4*z2^2 - 39597600*ln2^2*z2^3 - 
    37188048*z2^4 - 100800000*li5half*z3 - 94080000*li4half*ln2*z3 - 
    2805600*ln2^5*z3 + 13356000*ln2^3*z2*z3 - 38736600*ln2*z2^2*z3 - 
    66412500*ln2^2*z3^2 - 88546500*z2*z3^2 - 34937000*ln2^3*z5 - 
    139860000*ln2*z2*z5 + 42769125*z3*z5 - 8323875*ln2*z7)/18816000, 
 H[-1, 0, 0, -1, -1, 1, 0, 1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 + 
    27216000*ln2^2*s6 + 129024000*ln2*s7a - 68544000*ln2*s7b - 
    206087175*s8a - 741888000*s8b - 199584000*s8c + 30240000*s8d - 
    225792000*li6half*z2 + 169344000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 2312800*ln2^6*z2 - 145152000*s6*z2 - 
    40521600*li4half*z2^2 + 15363600*ln2^4*z2^2 + 19353600*ln2^2*z2^3 - 
    21664668*z2^4 - 166320000*li5half*z3 - 28224000*li4half*ln2*z3 + 
    210000*ln2^5*z3 - 15036000*ln2^3*z2*z3 + 132804000*ln2*z2^2*z3 + 
    132678000*ln2^2*z3^2 + 267214500*z2*z3^2 + 191394000*ln2^3*z5 + 
    714987000*ln2*z2*z5 - 37831500*z3*z5 - 77316750*ln2*z7)/28224000, 
 H[-1, 0, 0, -1, -1, 1, 0, 0, 1] -> (-60480000*ln2^2*s6 + 16800000*ln2*s7a - 
    11424000*ln2*s7b + 132332550*s8a + 690480000*s8b + 87360000*s8c + 
    81984000*s8d - 242760000*s6*z2 + 13104000*li4half*z2^2 + 
    546000*ln2^4*z2^2 + 26888400*ln2^2*z2^3 - 4628782*z2^4 - 
    156912000*li5half*z3 + 1307600*ln2^5*z3 - 13076000*ln2^3*z2*z3 - 
    111791400*ln2*z2^2*z3 + 5628000*ln2^2*z3^2 - 105063000*z2*z3^2 + 
    27342000*ln2^3*z5 - 227640000*ln2*z2*z5 + 263977875*z3*z5 - 
    87396750*ln2*z7)/4704000, H[-1, 0, 0, -1, -1, 1, 0, -1, 1] -> 
  (22579200*li4half^2 + 1881600*li4half*ln2^4 + 39200*ln2^8 - 
    17337600*ln2^2*s6 + 17740800*ln2*s7a + 12096000*ln2*s7b + 16787925*s8a + 
    169646400*s8b - 806400*s8c + 34675200*s8d - 22579200*li6half*z2 - 
    5644800*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 - 337120*ln2^6*z2 - 
    97574400*s6*z2 - 7459200*li4half*z2^2 + 394800*ln2^4*z2^2 + 
    9500400*ln2^2*z2^3 + 852072*z2^4 - 66528000*li5half*z3 + 
    11289600*li4half*ln2*z3 + 1024800*ln2^5*z3 - 9189600*ln2^3*z2*z3 - 
    33155640*ln2*z2^2*z3 + 19202400*ln2^2*z3^2 - 3298050*z2*z3^2 + 
    5468400*ln2^3*z5 - 35229600*ln2*z2*z5 + 58745925*z3*z5 + 42521850*ln2*z7)/
   5644800, H[-1, 0, 0, -1, -1, 1, -1, 1, 1] -> 
  (9408000*li4half^2 + 112896000*li8half - 18816000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 29400*ln2^8 + 98280000*ln2^2*s6 + 
    1008000*ln2*s7a + 3360000*ln2*s7b - 156704100*s8a - 681408000*s8b - 
    125664000*s8c - 53088000*s8d - 28224000*li6half*z2 - 
    9408000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 1097600*ln2^6*z2 + 
    159096000*s6*z2 - 16262400*li4half*z2^2 + 567000*ln2^4*z2^2 - 
    46972800*ln2^2*z2^3 - 14012196*z2^4 + 112056000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 502600*ln2^5*z3 + 9338000*ln2^3*z2*z3 + 
    130993800*ln2*z2^2*z3 - 4257750*ln2^2*z3^2 + 150438750*z2*z3^2 - 
    2278500*ln2^3*z5 + 403798500*ln2*z2*z5 - 291527250*z3*z5 + 
    103527375*ln2*z7)/9408000, H[-1, 0, 0, -1, -1, 1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    486864000*ln2^2*s6 + 143136000*ln2*s7a - 68544000*ln2*s7b + 
    1014405525*s8a + 5166504000*s8b + 687456000*s8c + 582624000*s8d + 
    112896000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 1607200*ln2^6*z2 - 
    1687392000*s6*z2 + 82656000*li4half*z2^2 - 23604000*ln2^4*z2^2 + 
    225867600*ln2^2*z2^3 - 37404396*z2^4 - 1165248000*li5half*z3 + 
    49392000*li4half*ln2*z3 + 11768400*ln2^5*z3 - 105336000*ln2^3*z2*z3 - 
    897170400*ln2*z2^2*z3 + 57550500*ln2^2*z3^2 - 846672750*z2*z3^2 + 
    205065000*ln2^3*z5 - 1854405000*ln2*z2*z5 + 2020024125*z3*z5 - 
    563464125*ln2*z7)/28224000, H[-1, 0, 0, -1, -1, 1, -1, -1, 1] -> 
  (50803200*li4half^2 + 203212800*li8half + 22579200*li7half*ln2 - 
    45158400*li6half*ln2^2 + 5174400*li4half*ln2^4 + 65240*ln2^8 - 
    145756800*ln2^2*s6 + 42336000*ln2*s7a + 11289600*ln2*s7b + 
    229047525*s8a + 1420776000*s8b + 144748800*s8c + 168537600*s8d - 
    22579200*li5half*ln2*z2 - 31046400*li4half*ln2^2*z2 - 446880*ln2^6*z2 - 
    493718400*s6*z2 + 1532160*li4half*z2^2 + 2556960*ln2^4*z2^2 + 
    55742400*ln2^2*z2^3 - 10706112*z2^4 - 325785600*li5half*z3 + 
    45158400*li4half*ln2*z3 + 4431840*ln2^5*z3 - 39496800*ln2^3*z2*z3 - 
    222750360*ln2*z2^2*z3 + 44824500*ln2^2*z3^2 - 171051300*z2*z3^2 + 
    30076200*ln2^3*z5 - 468997200*ln2*z2*z5 + 366620625*z3*z5 - 
    52104150*ln2*z7)/11289600, H[-1, 0, 0, -1, -1, 0, 1, 1, 1] -> 
  (-504000*ln2^2*s6 + 336000*ln2*s7a - 336000*ln2*s7b + 1047900*s8a + 
    3360000*s8b + 1008000*s8c - 336000*s8d - 67200*li4half*z2^2 - 
    2800*ln2^4*z2^2 + 67200*ln2^2*z2^3 + 299724*z2^4 - 672000*li5half*z3 + 
    5600*ln2^5*z3 - 56000*ln2^3*z2*z3 - 1005900*ln2*z2^2*z3 + 
    189000*ln2^2*z3^2 - 651000*z2*z3^2 + 434000*ln2^3*z5 - 
    1785000*ln2*z2*z5 + 614250*z3*z5 - 1876875*ln2*z7)/672000, 
 H[-1, 0, 0, -1, -1, 0, 1, 0, 1] -> 
  (192000*ln2^2*s6 - 278850*s8a - 240000*s8b - 384000*s8c + 384000*s8d - 
    720000*s6*z2 + 76800*li4half*z2^2 + 3200*ln2^4*z2^2 - 9600*ln2^2*z2^3 - 
    184846*z2^4 - 384000*li5half*z3 + 3200*ln2^5*z3 - 32000*ln2^3*z2*z3 + 
    180000*ln2*z2^2*z3 + 180000*ln2^2*z3^2 + 263250*z2*z3^2 + 
    1059000*ln2*z2*z5 + 345750*z3*z5 + 402375*ln2*z7)/96000, 
 H[-1, 0, 0, -1, -1, 0, 1, -1, 1] -> 
  (5241600*ln2^2*s6 - 3091200*ln2*s7a - 1209600*ln2*s7b - 6304725*s8a - 
    37195200*s8b - 4300800*s8c - 3225600*s8d - 5644800*li5half*ln2*z2 + 
    47040*ln2^6*z2 + 10214400*s6*z2 - 1585920*li4half*z2^2 - 
    536480*ln2^4*z2^2 - 2476320*ln2^2*z2^3 - 744732*z2^4 + 
    10214400*li5half*z3 + 5644800*li4half*ln2*z3 + 150080*ln2^5*z3 + 
    1909600*ln2^3*z2*z3 + 5399520*ln2*z2^2*z3 - 583800*ln2^2*z3^2 + 
    4636800*z2*z3^2 - 1215200*ln2^3*z5 + 20865600*ln2*z2*z5 - 9415875*z3*z5 + 
    3054450*ln2*z7)/1881600, H[-1, 0, 0, -1, -1, 0, 0, 1, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 - 
    1512000*ln2^2*s6 - 1008000*ln2*s7a - 1008000*ln2*s7b + 3025575*s8a + 
    2016000*s8b + 5040000*s8c - 5040000*s8d + 1008000*li4half*ln2^2*z2 + 
    42000*ln2^6*z2 + 11088000*s6*z2 - 50400*li4half*z2^2 - 
    128100*ln2^4*z2^2 - 289800*ln2^2*z2^3 + 2530782*z2^4 + 
    8064000*li5half*z3 - 67200*ln2^5*z3 + 672000*ln2^3*z2*z3 - 
    1146600*ln2*z2^2*z3 - 1858500*ln2^2*z3^2 - 4268250*z2*z3^2 - 
    14112000*ln2*z2*z5 - 5937750*z3*z5 - 10284750*ln2*z7)/1008000, 
 H[-1, 0, 0, -1, -1, 0, 0, 0, 1] -> (-73325*s8a - 280000*s8b + 1198*z2^4 + 
    49000*ln2*z2^2*z3 + 70000*z2*z3^2 - 146125*z3*z5 + 336000*ln2*z7)/112000, 
 H[-1, 0, 0, -1, -1, 0, 0, -1, 1] -> 
  (-8960*ln2^2*s6 + 8960*ln2*s7a + 8960*ln2*s7b + 4480*s6*z2 + 
    1568*ln2^2*z2^3 + 834*z2^4 - 13440*li5half*z3 + 112*ln2^5*z3 - 
    1120*ln2^3*z2*z3 - 9576*ln2*z2^2*z3 + 3360*ln2^2*z3^2 - 1190*z2*z3^2 - 
    26320*ln2*z2*z5 + 13125*z3*z5 + 46970*ln2*z7)/8960, 
 H[-1, 0, 0, -1, -1, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    19824000*ln2^2*s6 - 11424000*ln2*s7a + 7392000*ln2*s7b + 32246025*s8a + 
    59472000*s8b + 43680000*s8c - 43680000*s8d + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 352800*ln2^6*z2 + 96768000*s6*z2 + 
    9374400*li4half*z2^2 + 978600*ln2^4*z2^2 + 4174800*ln2^2*z2^3 + 
    23562684*z2^4 + 56784000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    1649200*ln2^5*z3 - 560000*ln2^3*z2*z3 - 21928200*ln2*z2^2*z3 - 
    14322000*ln2^2*z3^2 - 42315000*z2*z3^2 - 18228000*ln2^3*z5 - 
    206923500*ln2*z2*z5 - 42233625*z3*z5 - 29460375*ln2*z7)/9408000, 
 H[-1, 0, 0, -1, -1, 0, -1, 0, 1] -> 
  (1344000*ln2^2*s6 - 2840775*s8a - 5880000*s8b - 2688000*s8c + 2688000*s8d - 
    5712000*s6*z2 + 537600*li4half*z2^2 + 22400*ln2^4*z2^2 - 
    67200*ln2^2*z2^3 - 1541354*z2^4 - 3360000*li5half*z3 + 28000*ln2^5*z3 - 
    280000*ln2^3*z2*z3 + 2465400*ln2*z2^2*z3 + 1554000*ln2^2*z3^2 + 
    3071250*z2*z3^2 + 8064000*ln2*z2*z5 + 1267875*z3*z5 + 7518000*ln2*z7)/
   672000, H[-1, 0, 0, -1, -1, 0, -1, -1, 1] -> 
  (-11760000*ln2^2*s6 + 22176000*ln2*s7a + 3360000*ln2*s7b + 8543850*s8a + 
    54264000*s8b - 11424000*s8c + 39648000*s8d - 93408000*s6*z2 + 
    7929600*li4half*z2^2 + 330400*ln2^4*z2^2 + 4536000*ln2^2*z2^3 - 
    24575604*z2^4 - 81648000*li5half*z3 + 680400*ln2^5*z3 - 
    6804000*ln2^3*z2*z3 - 26607000*ln2*z2^2*z3 + 28077000*ln2^2*z3^2 + 
    262500*z2*z3^2 + 18228000*ln2^3*z5 + 46158000*ln2*z2*z5 + 
    141857625*z3*z5 + 133809375*ln2*z7)/9408000, 
 H[-1, 0, 0, -1, -1, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 - 1016064000*li8half + 790272000*li7half*ln2 + 
    56448000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 7056000*li4half*ln2^4 + 
    63000*ln2^8 - 300384000*ln2^2*s6 + 227808000*ln2*s7a - 
    252000000*ln2*s7b + 148114575*s8a - 93240000*s8b + 215712000*s8c - 
    159264000*s8d - 56448000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 901600*ln2^6*z2 + 255024000*s6*z2 + 
    9072000*li4half*z2^2 + 23133600*ln2^4*z2^2 + 158054400*ln2^2*z2^3 + 
    163281672*z2^4 + 156240000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    1948800*ln2^5*z3 - 20496000*ln2^3*z2*z3 - 82744200*ln2*z2^2*z3 + 
    222673500*ln2^2*z3^2 - 126724500*z2*z3^2 + 469371000*ln2^3*z5 + 
    41517000*ln2*z2*z5 + 142970625*z3*z5 - 2134967625*ln2*z7)/56448000, 
 H[-1, 0, 0, -1, -1, -1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    90216000*ln2^2*s6 - 5040000*ln2*s7a + 30240000*ln2*s7b - 193597425*s8a - 
    787248000*s8b - 170352000*s8c - 13104000*s8d - 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 392000*ln2^6*z2 + 
    105588000*s6*z2 - 25905600*li4half*z2^2 + 4212600*ln2^4*z2^2 - 
    24872400*ln2^2*z2^3 - 24696828*z2^4 + 82656000*li5half*z3 + 
    52920000*li4half*ln2*z3 + 1516200*ln2^5*z3 - 4284000*ln2^3*z2*z3 + 
    130189500*ln2*z2^2*z3 + 37721250*ln2^2*z3^2 + 163815750*z2*z3^2 - 
    34177500*ln2^3*z5 + 424541250*ln2*z2*z5 - 180266625*z3*z5 + 
    268647750*ln2*z7)/14112000, H[-1, 0, 0, -1, -1, -1, 1, -1, 1] -> 
  (37632000*li4half^2 + 150528000*li8half - 263424000*li7half*ln2 + 
    12544000*li5half*ln2^3 + 3136000*li4half*ln2^4 + 16800*ln2^8 + 
    171360000*ln2^2*s6 - 92064000*ln2*s7a + 114912000*ln2*s7b - 
    194828550*s8a - 951888000*s8b - 158592000*s8c - 71904000*s8d - 
    18816000*li5half*ln2*z2 + 9408000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 
    259056000*s6*z2 - 50131200*li4half*z2^2 - 14946400*ln2^4*z2^2 - 
    68392800*ln2^2*z2^3 - 29284488*z2^4 + 153216000*li5half*z3 + 
    87024000*li4half*ln2*z3 + 2074800*ln2^5*z3 + 19236000*ln2^3*z2*z3 + 
    92013600*ln2*z2^2*z3 - 63966000*ln2^2*z3^2 + 159222000*z2*z3^2 - 
    202027000*ln2^3*z5 + 136605000*ln2*z2*z5 - 259187250*z3*z5 + 
    1045928625*ln2*z7)/18816000, H[-1, 0, 0, -1, -1, -1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    23184000*ln2^2*s6 - 18144000*ln2*s7a - 18144000*ln2*s7b - 6522075*s8a - 
    117936000*s8b - 10080000*s8c + 10080000*s8d - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 274400*ln2^6*z2 - 
    27216000*s6*z2 - 11390400*li4half*z2^2 - 1062600*ln2^4*z2^2 - 
    75600*ln2^2*z2^3 - 2037552*z2^4 + 15120000*li5half*z3 - 126000*ln2^5*z3 + 
    9492000*ln2^3*z2*z3 + 38329200*ln2*z2^2*z3 - 22806000*ln2^2*z3^2 - 
    1260000*z2*z3^2 + 120141000*ln2*z2*z5 + 99807750*z3*z5 - 50321250*ln2*z7)/
   28224000, H[-1, 0, 0, -1, -1, -1, 0, 0, 1] -> 
  (-672000*ln2^2*s6 + 1338225*s8a + 4368000*s8b + 1344000*s8c - 1344000*s8d + 
    2688000*s6*z2 - 268800*li4half*z2^2 - 11200*ln2^4*z2^2 + 
    33600*ln2^2*z2^3 + 1162696*z2^4 + 1680000*li5half*z3 - 14000*ln2^5*z3 + 
    140000*ln2^3*z2*z3 - 1512000*ln2*z2^2*z3 - 777000*ln2^2*z3^2 - 
    945000*z2*z3^2 - 4032000*ln2*z2*z5 - 3643500*z3*z5 - 5124000*ln2*z7)/
   672000, H[-1, 0, 0, -1, -1, -1, 0, -1, 1] -> 
  (-14112000*ln2^2*s6 + 9072000*ln2*s7a + 9072000*ln2*s7b + 5121900*s8a + 
    119700000*s8b + 10080000*s8c - 10080000*s8d - 28224000*li6half*z2 - 
    14112000*li5half*ln2*z2 + 78400*ln2^6*z2 + 18396000*s6*z2 - 
    2016000*li4half*z2^2 - 672000*ln2^4*z2^2 + 1839600*ln2^2*z2^3 + 
    32750724*z2^4 + 27216000*li5half*z3 - 226800*ln2^5*z3 + 
    4326000*ln2^3*z2*z3 + 2205000*ln2*z2^2*z3 - 14773500*ln2^2*z3^2 - 
    4914000*z2*z3^2 - 81915750*ln2*z2*z5 - 118825875*z3*z5 - 
    163863000*ln2*z7)/14112000, H[-1, 0, 0, -1, -1, -1, -1, 1, 1] -> 
  (-1241856000*li8half + 338688000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 19600*ln2^8 + 28224000*ln2^2*s6 + 
    30240000*ln2*s7a - 40320000*ln2*s7b - 237527325*s8a - 2164680000*s8b - 
    131040000*s8c - 235872000*s8d - 169344000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 392000*ln2^6*z2 + 662256000*s6*z2 - 
    40118400*li4half*z2^2 + 16615200*ln2^4*z2^2 + 86436000*ln2^2*z2^3 + 
    103843368*z2^4 + 422352000*li5half*z3 - 42336000*li4half*ln2*z3 - 
    6106800*ln2^5*z3 + 3444000*ln2^3*z2*z3 + 221823000*ln2*z2^2*z3 + 
    52699500*ln2^2*z3^2 + 135985500*z2*z3^2 + 54684000*ln2^3*z5 + 
    457317000*ln2*z2*z5 + 69922125*z3*z5 - 500897250*ln2*z7)/56448000, 
 H[-1, 0, 0, -1, -1, -1, -1, 0, 1] -> 
  (2016000*ln2^2*s6 - 3759525*s8a + 10080000*s8b - 4032000*s8c + 
    4032000*s8d + 8064000*li6half*z2 + 4032000*li5half*ln2*z2 - 
    22400*ln2^6*z2 - 7560000*s6*z2 + 806400*li4half*z2^2 + 
    201600*ln2^4*z2^2 - 100800*ln2^2*z2^3 - 663084*z2^4 - 
    9072000*li5half*z3 + 75600*ln2^5*z3 - 1344000*ln2^3*z2*z3 - 
    882000*ln2*z2^2*z3 + 4095000*ln2^2*z3^2 + 5166000*z2*z3^2 + 
    9166500*ln2*z2*z5 - 9623250*z3*z5 - 8064000*ln2*z7)/4032000, 
 H[-1, 0, 0, -1, -1, -1, -1, -1, 1] -> 
  (-225792000*li8half - 169344000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 + 28000*ln2^8 - 20664000*ln2^2*s6 + 
    27216000*ln2*s7a + 20160000*ln2*s7b - 67725*s8a + 95760000*s8b - 
    20160000*s8c + 41328000*s8d - 156800*ln2^6*z2 - 93240000*s6*z2 + 
    8265600*li4half*z2^2 + 344400*ln2^4*z2^2 + 6199200*ln2^2*z2^3 + 
    16758324*z2^4 - 82656000*li5half*z3 + 1100400*ln2^5*z3 - 
    6888000*ln2^3*z2*z3 - 26535600*ln2*z2^2*z3 + 25830000*ln2^2*z3^2 + 
    7623000*z2*z3^2 + 13671000*ln2^3*z5 - 12631500*ln2*z2*z5 + 
    87105375*z3*z5 + 97090875*ln2*z7)/28224000, 
 H[-1, 0, -1, 1, 1, 1, 1, 1, 1] -> 
  (-16128000*li8half + 16128000*li7half*ln2 + 2016000*li6half*ln2^2 + 
    672000*li5half*ln2^3 + 168000*li4half*ln2^4 + 600*ln2^8 + 
    4032000*ln2^2*s6 + 2016000*ln2*s7b - 6180300*s8a - 24192000*s8b - 
    8064000*s8c + 4032000*s8d - 2016000*li6half*z2 - 6048000*li5half*ln2*z2 - 
    1008000*li4half*ln2^2*z2 + 5600*ln2^6*z2 - 6048000*s6*z2 + 
    302400*li4half*z2^2 + 134400*ln2^4*z2^2 + 763200*ln2^2*z2^3 - 
    214848*z2^4 - 2016000*li5half*z3 - 504000*li4half*ln2*z3 - 
    92400*ln2^5*z3 + 840000*ln2^3*z2*z3 + 5796000*ln2*z2^2*z3 + 
    362250*ln2^2*z3^2 + 6945750*z2*z3^2 - 5208000*ln2^3*z5 + 
    27972000*ln2*z2*z5 - 4898250*z3*z5 - 9001125*ln2*z7)/4032000, 
 H[-1, 0, -1, 1, 1, 1, 1, 0, 1] -> 
  (-42336000*li4half^2 + 1128960000*li8half + 112896000*li7half*ln2 - 
    3528000*li4half*ln2^4 - 67900*ln2^8 + 24192000*ln2^2*s6 - 
    56448000*ln2*s7a - 42336000*ln2*s7b + 117767475*s8a + 910728000*s8b + 
    64512000*s8c + 48384000*s8d - 28224000*li6half*z2 + 
    28224000*li4half*ln2^2*z2 + 823200*ln2^6*z2 - 146160000*s6*z2 + 
    47073600*li4half*z2^2 - 4153800*ln2^4*z2^2 - 47527200*ln2^2*z2^3 - 
    91421244*z2^4 - 117936000*li5half*z3 - 45864000*li4half*ln2*z3 - 
    928200*ln2^5*z3 + 16632000*ln2^3*z2*z3 - 38732400*ln2*z2^2*z3 - 
    42588000*ln2^2*z3^2 - 108470250*z2*z3^2 - 13671000*ln2^3*z5 - 
    123858000*ln2*z2*z5 + 8827875*z3*z5 - 287697375*ln2*z7)/28224000, 
 H[-1, 0, -1, 1, 1, 1, 1, -1, 1] -> 
  (-959616000*li8half - 338688000*li7half*ln2 - 9408000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 23800*ln2^8 + 97776000*ln2^2*s6 - 
    112896000*ln2*s7a - 169344000*ln2*s7b - 39197025*s8a - 1265544000*s8b + 
    30240000*s8c - 157248000*s8d + 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 378000000*s6*z2 - 
    15926400*li4half*z2^2 - 3015600*ln2^4*z2^2 - 8920800*ln2^2*z2^3 + 
    20330496*z2^4 + 300384000*li5half*z3 - 84672000*li4half*ln2*z3 - 
    4796400*ln2^5*z3 + 33852000*ln2^3*z2*z3 + 185283000*ln2*z2^2*z3 - 
    80545500*ln2^2*z3^2 - 52447500*z2*z3^2 + 100254000*ln2^3*z5 + 
    271782000*ln2*z2*z5 + 440409375*z3*z5 - 31972500*ln2*z7)/56448000, 
 H[-1, 0, -1, 1, 1, 1, 0, 1, 1] -> 
  (141120000*li4half^2 - 4515840000*li8half - 1806336000*li7half*ln2 - 
    225792000*li6half*ln2^2 + 11760000*li4half*ln2^4 + 177800*ln2^8 + 
    136080000*ln2^2*s6 + 52416000*ln2*s7a + 292320000*ln2*s7b - 
    745737300*s8a - 5699232000*s8b - 306432000*s8c - 653184000*s8d + 
    451584000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 - 1685600*ln2^6*z2 + 
    1694448000*s6*z2 - 228009600*li4half*z2^2 + 5199600*ln2^4*z2^2 + 
    73332000*ln2^2*z2^3 + 437548392*z2^4 + 1038240000*li5half*z3 + 
    70560000*li4half*ln2*z3 - 5712000*ln2^5*z3 - 40488000*ln2^3*z2*z3 + 
    324097200*ln2*z2^2*z3 - 41989500*ln2^2*z3^2 + 558589500*z2*z3^2 - 
    232407000*ln2^3*z5 - 333207000*ln2*z2*z5 - 457065000*z3*z5 + 
    3406402125*ln2*z7)/56448000, H[-1, 0, -1, 1, 1, 1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    26712000*ln2^2*s6 - 41328000*ln2*s7a - 62496000*ln2*s7b + 144281025*s8a + 
    621936000*s8b + 136080000*s8c + 19152000*s8d - 28224000*li6half*z2 - 
    14112000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 666400*ln2^6*z2 - 
    112392000*s6*z2 + 16531200*li4half*z2^2 - 6955200*ln2^4*z2^2 + 
    10256400*ln2^2*z2^3 + 31066704*z2^4 + 11088000*li5half*z3 - 
    17640000*li4half*ln2*z3 - 827400*ln2^5*z3 + 15918000*ln2^3*z2*z3 - 
    48825000*ln2*z2^2*z3 - 52274250*ln2^2*z3^2 - 136513125*z2*z3^2 + 
    20506500*ln2^3*z5 - 216720000*ln2*z2*z5 + 71071875*z3*z5 - 
    462459375*ln2*z7)/14112000, H[-1, 0, -1, 1, 1, 1, 0, -1, 1] -> 
  (9031680000*li8half + 1806336000*li7half*ln2 - 134400*ln2^8 - 
    1488816000*ln2^2*s6 + 233856000*ln2*s7a - 344736000*ln2*s7b + 
    3212081775*s8a + 19505304000*s8b + 2509920000*s8c + 1243872000*s8d - 
    112896000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 2312800*ln2^6*z2 - 4392864000*s6*z2 + 
    226195200*li4half*z2^2 + 2133600*ln2^4*z2^2 + 254368800*ln2^2*z2^3 - 
    229208256*z2^4 - 2515968000*li5half*z3 + 127008000*li4half*ln2*z3 + 
    26258400*ln2^5*z3 - 354312000*ln2^3*z2*z3 - 2320630200*ln2*z2^2*z3 - 
    106942500*ln2^2*z3^2 - 2514172500*z2*z3^2 + 560511000*ln2^3*z5 - 
    6659541000*ln2*z2*z5 + 1028010375*z3*z5 - 4448878875*ln2*z7)/56448000, 
 H[-1, 0, -1, 1, 1, 1, -1, 1, 1] -> 
  (-45158400*li4half^2 + 666086400*li8half - 101606400*li7half*ln2 - 
    33868800*li6half*ln2^2 - 4233600*li4half*ln2^4 - 108360*ln2^8 - 
    55238400*ln2^2*s6 + 7660800*ln2*s7a + 58464000*ln2*s7b + 110974500*s8a + 
    950745600*s8b + 66931200*s8c + 88300800*s8d + 33868800*li6half*z2 - 
    8467200*li4half*ln2^2*z2 + 478240*ln2^6*z2 - 240105600*s6*z2 + 
    45601920*li4half*z2^2 - 522480*ln2^4*z2^2 - 29262240*ln2^2*z2^3 - 
    47532096*z2^4 - 179424000*li5half*z3 - 25401600*li4half*ln2*z3 + 
    683760*ln2^5*z3 - 11071200*ln2^3*z2*z3 - 129976560*ln2*z2^2*z3 - 
    13992300*ln2^2*z3^2 - 67529700*z2*z3^2 - 49215600*ln2^3*z5 - 
    361065600*ln2*z2*z5 - 46972800*z3*z5 + 430175025*ln2*z7)/11289600, 
 H[-1, 0, -1, 1, 1, 1, -1, 0, 1] -> 
  (112896000*li4half^2 - 4515840000*li8half - 451584000*li7half*ln2 + 
    9408000*li4half*ln2^4 + 173600*ln2^8 + 202608000*ln2^2*s6 - 
    225792000*ln2*s7a - 282240000*ln2*s7b - 292951575*s8a - 4284504000*s8b + 
    46368000*s8c - 582624000*s8d + 112896000*li5half*ln2*z2 + 
    183456000*li4half*ln2^2*z2 + 7957600*ln2^6*z2 + 1433376000*s6*z2 - 
    178617600*li4half*z2^2 - 27669600*ln2^4*z2^2 + 118641600*ln2^2*z2^3 + 
    411607008*z2^4 + 1108800000*li5half*z3 - 9240000*ln2^5*z3 + 
    173544000*ln2^3*z2*z3 + 507364200*ln2*z2^2*z3 - 168367500*ln2^2*z3^2 + 
    48793500*z2*z3^2 + 54684000*ln2^3*z5 + 554148000*ln2*z2*z5 + 
    370526625*z3*z5 - 1549894500*ln2*z7)/56448000, 
 H[-1, 0, -1, 1, 1, 1, -1, -1, 1] -> 
  (-1580544000*li8half + 395136000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    2352000*li4half*ln2^4 + 98000*ln2^8 + 79632000*ln2^2*s6 + 
    48384000*ln2*s7a - 135072000*ln2*s7b - 326612475*s8a - 2516472000*s8b - 
    86688000*s8c - 463680000*s8d + 84672000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 4429600*ln2^6*z2 + 1202544000*s6*z2 - 
    92736000*li4half*z2^2 + 23419200*ln2^4*z2^2 + 63554400*ln2^2*z2^3 + 
    271825704*z2^4 + 885024000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    8316000*ln2^5*z3 - 32088000*ln2^3*z2*z3 + 394392600*ln2*z2^2*z3 + 
    13135500*ln2^2*z3^2 + 183865500*z2*z3^2 + 177723000*ln2^3*z5 + 
    498519000*ln2*z2*z5 - 905443875*z3*z5 - 1809021375*ln2*z7)/56448000, 
 H[-1, 0, -1, 1, 1, 0, 1, 1, 1] -> 
  (-211680000*li4half^2 + 2257920000*li8half + 1354752000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    17640000*li4half*ln2^4 - 423500*ln2^8 - 164808000*ln2^2*s6 + 
    112896000*ln2*s7a - 352800000*ln2*s7b + 430474275*s8a + 2937816000*s8b + 
    322560000*s8c + 157248000*s8d - 338688000*li6half*z2 - 
    254016000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 + 921200*ln2^6*z2 - 
    663768000*s6*z2 + 147873600*li4half*z2^2 + 10571400*ln2^4*z2^2 - 
    17589600*ln2^2*z2^3 - 83753856*z2^4 - 208656000*li5half*z3 - 
    74088000*li4half*ln2*z3 - 1348200*ln2^5*z3 + 3780000*ln2^3*z2*z3 - 
    139154400*ln2*z2^2*z3 + 107997750*ln2^2*z3^2 - 338829750*z2*z3^2 + 
    439750500*ln2^3*z5 + 212215500*ln2*z2*z5 - 97201125*z3*z5 - 
    3157174125*ln2*z7)/28224000, H[-1, 0, -1, 1, 1, 0, 1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    6854400*ln2^2*s6 + 11424000*ln2*s7a + 7660800*ln2*s7b + 1798125*s8a + 
    42000000*s8b - 9139200*s8c + 20428800*s8d + 11289600*li6half*z2 + 
    5644800*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 266560*ln2^6*z2 - 
    42739200*s6*z2 - 3393600*li4half*z2^2 + 799400*ln2^4*z2^2 + 
    5354160*ln2^2*z2^3 - 8544262*z2^4 - 38035200*li5half*z3 + 
    9878400*li4half*ln2*z3 + 728560*ln2^5*z3 - 7050400*ln2^3*z2*z3 - 
    12542880*ln2*z2^2*z3 + 13095600*ln2^2*z3^2 + 3260250*z2*z3^2 + 
    3645600*ln2^3*z5 + 3355800*ln2*z2*z5 + 41412000*z3*z5 + 56677425*ln2*z7)/
   940800, H[-1, 0, -1, 1, 1, 0, 1, -1, 1] -> 
  (16128000*li4half^2 - 1290240000*li8half - 193536000*li7half*ln2 - 
    5376000*li5half*ln2^3 + 1344000*li4half*ln2^4 + 79200*ln2^8 + 
    244800000*ln2^2*s6 - 10944000*ln2*s7a + 79776000*ln2*s7b - 
    591642450*s8a - 3342528000*s8b - 467712000*s8c - 229824000*s8d - 
    12096000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 - 89600*ln2^6*z2 + 
    808416000*s6*z2 - 57859200*li4half*z2^2 + 2175600*ln2^4*z2^2 - 
    52581600*ln2^2*z2^3 + 48606768*z2^4 + 471744000*li5half*z3 + 
    15624000*li4half*ln2*z3 - 3280200*ln2^5*z3 + 56196000*ln2^3*z2*z3 + 
    403914600*ln2*z2^2*z3 + 46800000*ln2^2*z3^2 + 479304000*z2*z3^2 - 
    86257500*ln2^3*z5 + 1210468500*ln2*z2*z5 - 438417000*z3*z5 + 
    610727625*ln2*z7)/4032000, H[-1, 0, -1, 1, 1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    24192000*ln2^2*s6 - 116928000*ln2*s7a + 137088000*ln2*s7b - 2340450*s8a - 
    62496000*s8b + 72576000*s8c - 72576000*s8d + 677376000*li6half*z2 + 
    197568000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 + 
    455616000*s6*z2 - 51206400*li4half*z2^2 - 17421600*ln2^4*z2^2 - 
    4687200*ln2^2*z2^3 - 35438952*z2^4 - 144144000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 1789200*ln2^5*z3 + 5628000*ln2^3*z2*z3 - 
    118729800*ln2*z2^2*z3 - 133654500*ln2^2*z3^2 - 127858500*z2*z3^2 - 
    246078000*ln2^3*z5 - 747211500*ln2*z2*z5 + 10875375*z3*z5 + 
    677218500*ln2*z7)/28224000, H[-1, 0, -1, 1, 1, 0, 0, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    18144000*ln2^2*s6 - 8064000*ln2*s7a - 32304825*s8a - 187488000*s8b - 
    20160000*s8c - 28224000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 79128000*s6*z2 - 1512000*li4half*z2^2 - 
    567000*ln2^4*z2^2 - 9072000*ln2^2*z2^3 + 2601348*z2^4 + 
    62496000*li5half*z3 - 8064000*li4half*ln2*z3 - 856800*ln2^5*z3 + 
    7224000*ln2^3*z2*z3 + 32760000*ln2*z2^2*z3 - 7245000*ln2^2*z3^2 + 
    24963750*z2*z3^2 - 7812000*ln2^3*z5 + 59314500*ln2*z2*z5 - 
    81624375*z3*z5 - 5394375*ln2*z7)/2016000, 
 H[-1, 0, -1, 1, 1, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    20160000*ln2^2*s6 - 28224000*ln2*s7a + 14112000*ln2*s7b - 38116575*s8a - 
    408240000*s8b + 16128000*s8c - 100800000*s8d + 169344000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 
    307440000*s6*z2 + 11592000*li4half*z2^2 + 6363000*ln2^4*z2^2 - 
    19983600*ln2^2*z2^3 - 9152202*z2^4 + 123984000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 1327200*ln2^5*z3 - 17010000*ln2^3*z2*z3 + 
    25993800*ln2*z2^2*z3 - 23656500*ln2^2*z3^2 - 17718750*z2*z3^2 - 
    41013000*ln2^3*z5 - 113872500*ln2*z2*z5 - 110179125*z3*z5 + 
    247401000*ln2*z7)/14112000, H[-1, 0, -1, 1, 1, 0, -1, 1, 1] -> 
  (32256000*li4half^2 - 387072000*li7half*ln2 - 96768000*li6half*ln2^2 + 
    2688000*li4half*ln2^4 - 1600*ln2^8 - 30528000*ln2^2*s6 - 
    86400000*ln2*s7a + 88992000*ln2*s7b + 139036275*s8a + 599256000*s8b + 
    135072000*s8c + 22176000*s8d + 96768000*li6half*z2 + 
    70560000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 + 285600*ln2^6*z2 - 
    73584000*s6*z2 - 15724800*li4half*z2^2 - 8433600*ln2^4*z2^2 + 
    18158400*ln2^2*z2^3 + 10001304*z2^4 - 104328000*li5half*z3 + 
    16128000*li4half*ln2*z3 + 1541400*ln2^5*z3 - 15750000*ln2^3*z2*z3 - 
    137158200*ln2*z2^2*z3 - 106818750*ln2^2*z3^2 - 146018250*z2*z3^2 - 
    169911000*ln2^3*z5 - 753255000*ln2*z2*z5 + 204576750*z3*z5 + 
    783857250*ln2*z7)/4032000, H[-1, 0, -1, 1, 1, 0, -1, 0, 1] -> 
  (14784000*ln2^2*s6 + 21504000*ln2*s7a + 21504000*ln2*s7b - 56319900*s8a - 
    210336000*s8b - 72576000*s8c + 16128000*s8d - 56448000*li6half*z2 + 
    9408000*li5half*ln2*z2 - 156800*ln2^6*z2 - 36960000*s6*z2 + 
    3225600*li4half*z2^2 + 2094400*ln2^4*z2^2 + 2898000*ln2^2*z2^3 - 
    14453464*z2^4 + 5376000*li5half*z3 - 44800*ln2^5*z3 - 
    4844000*ln2^3*z2*z3 + 33738600*ln2*z2^2*z3 + 27825000*ln2^2*z3^2 + 
    71447250*z2*z3^2 + 146989500*ln2*z2*z5 - 27578250*z3*z5 + 
    151496625*ln2*z7)/4704000, H[-1, 0, -1, 1, 1, 0, -1, -1, 1] -> 
  (4515840000*li8half + 1806336000*li7half*ln2 + 225792000*li6half*ln2^2 + 
    67200*ln2^8 - 939456000*ln2^2*s6 + 397824000*ln2*s7a - 
    533568000*ln2*s7b + 1837354575*s8a + 11068008000*s8b + 1285536000*s8c + 
    1028832000*s8d + 37632000*li5half*ln2*z2 - 627200*ln2^6*z2 - 
    3214848000*s6*z2 + 205766400*li4half*z2^2 + 11709600*ln2^4*z2^2 + 
    217812000*ln2^2*z2^3 - 320781288*z2^4 - 2090592000*li5half*z3 + 
    17421600*ln2^5*z3 - 172452000*ln2^3*z2*z3 - 1330757400*ln2*z2^2*z3 + 
    314076000*ln2^2*z3^2 - 1405225500*z2*z3^2 + 902286000*ln2^3*z5 - 
    2284548000*ln2*z2*z5 + 1959612375*z3*z5 - 4075984500*ln2*z7)/18816000, 
 H[-1, 0, -1, 1, 1, -1, 1, 1, 1] -> 
  (338688000*li4half^2 - 4007808000*li8half + 677376000*li7half*ln2 + 
    84672000*li6half*ln2^2 - 47040000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 + 863800*ln2^8 + 159264000*ln2^2*s6 - 
    183456000*ln2*s7b - 837942525*s8a - 6202728000*s8b - 445536000*s8c - 
    669312000*s8d - 84672000*li6half*z2 + 141120000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 - 4194400*ln2^6*z2 + 1959552000*s6*z2 - 
    345542400*li4half*z2^2 + 21882000*ln2^4*z2^2 + 184212000*ln2^2*z2^3 + 
    372015936*z2^4 + 1112832000*li5half*z3 + 169344000*li4half*ln2*z3 - 
    982800*ln2^5*z3 + 38052000*ln2^3*z2*z3 + 652516200*ln2*z2^2*z3 + 
    192969000*ln2^2*z3^2 + 433818000*z2*z3^2 + 291648000*ln2^3*z5 + 
    1441566000*ln2*z2*z5 - 9820125*z3*z5 - 1717639875*ln2*z7)/56448000, 
 H[-1, 0, -1, 1, 1, -1, 1, 0, 1] -> 
  (1128960000*li8half + 112896000*li7half*ln2 + 5600*ln2^8 - 
    109872000*ln2^2*s6 + 49728000*ln2*s7a + 30912000*ln2*s7b + 
    283658025*s8a + 2073456000*s8b + 120288000*s8c + 288960000*s8d - 
    47040000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1685600*ln2^6*z2 - 
    790776000*s6*z2 + 54264000*li4half*z2^2 - 424200*ln2^4*z2^2 + 
    15607200*ln2^2*z2^3 - 131754396*z2^4 - 519120000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 5502000*ln2^5*z3 - 55314000*ln2^3*z2*z3 - 
    249530400*ln2*z2^2*z3 + 32896500*ln2^2*z3^2 - 168567000*z2*z3^2 + 
    18228000*ln2^3*z5 - 357808500*ln2*z2*z5 + 368825625*z3*z5 + 
    159985875*ln2*z7)/9408000, H[-1, 0, -1, 1, 1, -1, 1, -1, 1] -> 
  (1467648000*li8half - 282240000*li7half*ln2 + 23520000*li5half*ln2^3 - 
    103600*ln2^8 + 19152000*ln2^2*s6 - 62496000*ln2*s7a + 92736000*ln2*s7b + 
    312809175*s8a + 2467080000*s8b + 86688000*s8c + 407232000*s8d - 
    155232000*li5half*ln2*z2 + 4586400*ln2^6*z2 - 1061424000*s6*z2 + 
    81446400*li4half*z2^2 - 39354000*ln2^4*z2^2 - 74793600*ln2^2*z2^3 - 
    208375632*z2^4 - 736848000*li5half*z3 + 5523000*ln2^5*z3 + 
    61194000*ln2^3*z2*z3 - 302752800*ln2*z2^2*z3 - 99571500*ln2^2*z3^2 - 
    169753500*z2*z3^2 - 207343500*ln2^3*z5 - 202387500*ln2*z2*z5 + 
    582080625*z3*z5 + 750345750*ln2*z7)/28224000, 
 H[-1, 0, -1, 1, 1, -1, 0, 1, 1] -> 
  (-32256000*li4half^2 - 2688000*li4half*ln2^4 - 56000*ln2^8 + 
    36432000*ln2^2*s6 + 2880000*ln2*s7a + 16992000*ln2*s7b - 95780475*s8a - 
    421848000*s8b - 78624000*s8c - 30240000*s8d - 24192000*li6half*z2 - 
    34272000*li5half*ln2*z2 - 8064000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 
    90720000*s6*z2 + 14112000*li4half*z2^2 + 2268000*ln2^4*z2^2 - 
    23119200*ln2^2*z2^3 - 4642056*z2^4 + 80136000*li5half*z3 - 
    16128000*li4half*ln2*z3 - 1339800*ln2^5*z3 + 10584000*ln2^3*z2*z3 + 
    70198200*ln2*z2^2*z3 + 4403250*ln2^2*z3^2 + 98232750*z2*z3^2 - 
    13671000*ln2^3*z5 + 248265000*ln2*z2*z5 - 187047000*z3*z5 + 
    97494750*ln2*z7)/4032000, H[-1, 0, -1, 1, 1, -1, 0, 0, 1] -> 
  (-16800000*ln2^2*s6 - 9408000*ln2*s7a - 18816000*ln2*s7b + 40442325*s8a + 
    124992000*s8b + 52416000*s8c - 24192000*s8d + 9408000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 509600*ln2^6*z2 + 34272000*s6*z2 - 
    3662400*li4half*z2^2 - 2896600*ln2^4*z2^2 + 2158800*ln2^2*z2^3 + 
    16813782*z2^4 + 22512000*li5half*z3 - 9408000*li4half*ln2*z3 - 
    579600*ln2^5*z3 + 6874000*ln2^3*z2*z3 - 24851400*ln2*z2^2*z3 - 
    14500500*ln2^2*z3^2 - 46441500*z2*z3^2 + 9114000*ln2^3*z5 - 
    115500000*ln2*z2*z5 + 11489625*z3*z5 - 121863000*ln2*z7)/4704000, 
 H[-1, 0, -1, 1, 1, -1, 0, -1, 1] -> 
  (-322560*li4half^2 - 26880*li4half*ln2^4 - 560*ln2^8 - 106560*ln2^2*s6 + 
    106560*ln2*s7a + 46080*ln2*s7b - 120960*li6half*z2 - 
    120960*li5half*ln2*z2 - 80640*li4half*ln2^2*z2 - 2520*ln2^6*z2 - 
    120960*s6*z2 + 201600*li4half*z2^2 + 41160*ln2^4*z2^2 + 
    15552*ln2^2*z2^3 - 30492*z2^4 + 60480*li5half*z3 - 
    161280*li4half*ln2*z3 - 7224*ln2^5*z3 - 112140*ln2^3*z2*z3 - 
    30888*ln2*z2^2*z3 + 119970*ln2^2*z3^2 + 65205*z2*z3^2 + 58590*ln2^3*z5 + 
    20250*ln2*z2*z5 - 76860*z3*z5 + 645030*ln2*z7)/40320, 
 H[-1, 0, -1, 1, 1, -1, -1, 1, 1] -> 
  (903168000*li8half + 733824000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 44800*ln2^8 - 117936000*ln2^2*s6 + 
    191520000*ln2*s7a - 260064000*ln2*s7b + 91726425*s8a + 1080072000*s8b + 
    191520000*s8c - 50400000*s8d - 169344000*li6half*z2 + 3057600*ln2^6*z2 - 
    139104000*s6*z2 - 10080000*li4half*z2^2 + 520800*ln2^4*z2^2 - 
    604800*ln2^2*z2^3 + 74828448*z2^4 + 86688000*li5half*z3 - 
    1957200*ln2^5*z3 + 30156000*ln2^3*z2*z3 + 26245800*ln2*z2^2*z3 + 
    42462000*ln2^2*z3^2 + 12033000*z2*z3^2 + 378231000*ln2^3*z5 + 
    207459000*ln2*z2*z5 - 823669875*z3*z5 - 2002762125*ln2*z7)/56448000, 
 H[-1, 0, -1, 1, 1, -1, -1, 0, 1] -> 
  (75264000*li4half^2 - 1505280000*li8half - 150528000*li7half*ln2 + 
    6272000*li4half*ln2^4 + 123200*ln2^8 + 142800000*ln2^2*s6 + 
    10752000*ln2*s7a + 34272000*ln2*s7b - 410307975*s8a - 2810136000*s8b - 
    307104000*s8c - 229152000*s8d - 18816000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 18816000*li4half*ln2^2*z2 + 705600*ln2^6*z2 + 
    731136000*s6*z2 - 92870400*li4half*z2^2 + 7812000*ln2^4*z2^2 + 
    7257600*ln2^2*z2^3 + 84057024*z2^4 + 434784000*li5half*z3 + 
    37632000*li4half*ln2*z3 - 2055200*ln2^5*z3 + 24472000*ln2^3*z2*z3 + 
    299775000*ln2*z2^2*z3 + 59713500*ln2^2*z3^2 + 289422000*z2*z3^2 - 
    22785000*ln2^3*z5 + 719943000*ln2*z2*z5 - 63569625*z3*z5 + 
    392340375*ln2*z7)/18816000, H[-1, 0, -1, 1, 1, -1, -1, -1, 1] -> 
  (-56448000*li4half^2 - 197568000*li8half - 310464000*li7half*ln2 - 
    98784000*li6half*ln2^2 - 9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    100100*ln2^8 - 98280000*ln2^2*s6 - 38304000*ln2*s7a + 74592000*ln2*s7b + 
    157252725*s8a + 683424000*s8b + 110880000*s8c + 114912000*s8d - 
    14112000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 2116800*ln2^6*z2 - 
    342720000*s6*z2 + 58262400*li4half*z2^2 + 9895200*ln2^4*z2^2 + 
    50601600*ln2^2*z2^3 - 27629424*z2^4 - 222768000*li5half*z3 - 
    28224000*li4half*ln2*z3 + 1297800*ln2^5*z3 - 60018000*ln2^3*z2*z3 - 
    179915400*ln2*z2^2*z3 + 5544000*ln2^2*z3^2 - 127480500*z2*z3^2 - 
    79747500*ln2^3*z5 - 562117500*ln2*z2*z5 + 517773375*z3*z5 + 
    949906125*ln2*z7)/28224000, H[-1, 0, -1, 1, 0, 1, 1, 1, 1] -> 
  (536256000*li4half^2 - 2257920000*li8half - 1806336000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 150528000*li5half*ln2^3 + 
    25872000*li4half*ln2^4 + 763000*ln2^8 - 12096000*ln2^2*s6 - 
    193536000*ln2*s7a + 243936000*ln2*s7b - 257304600*s8a - 2574432000*s8b - 
    96768000*s8c - 270144000*s8d + 677376000*li6half*z2 + 
    790272000*li5half*ln2*z2 + 98784000*li4half*ln2^2*z2 - 1215200*ln2^6*z2 + 
    977760000*s6*z2 - 348969600*li4half*z2^2 - 21008400*ln2^4*z2^2 + 
    101908800*ln2^2*z2^3 + 95999544*z2^4 - 447552000*li5half*z3 + 
    176400000*li4half*ln2*z3 + 11079600*ln2^5*z3 - 7308000*ln2^3*z2*z3 - 
    145303200*ln2*z2^2*z3 - 68229000*ln2^2*z3^2 - 6363000*z2*z3^2 - 
    236964000*ln2^3*z5 - 1184778000*ln2*z2*z5 + 1239556500*z3*z5 + 
    3098678625*ln2*z7)/56448000, H[-1, 0, -1, 1, 0, 1, 1, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    288000*ln2^2*s6 - 8352000*ln2*s7a - 8352000*ln2*s7b + 9753975*s8a + 
    16128000*s8b + 16128000*s8c - 16128000*s8d - 24192000*li6half*z2 - 
    16128000*li5half*ln2*z2 + 4032000*li4half*ln2^2*z2 + 268800*ln2^6*z2 + 
    19656000*s6*z2 + 5745600*li4half*z2^2 - 600600*ln2^4*z2^2 - 
    5515200*ln2^2*z2^3 + 12090726*z2^4 + 64512000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 831600*ln2^5*z3 + 7140000*ln2^3*z2*z3 + 
    12015000*ln2*z2^2*z3 - 12708000*ln2^2*z3^2 - 4221000*z2*z3^2 - 
    6619500*ln2*z2*z5 - 76560750*z3*z5 - 79706250*ln2*z7)/2016000, 
 H[-1, 0, -1, 1, 0, 1, 1, -1, 1] -> 
  (-22579200*li4half^2 + 3161088000*li8half + 361267200*li7half*ln2 + 
    30105600*li5half*ln2^3 + 1881600*li4half*ln2^4 - 126560*ln2^8 - 
    455616000*ln2^2*s6 + 16934400*ln2*s7a + 8467200*ln2*s7b + 
    1197081900*s8a + 7294291200*s8b + 877363200*s8c + 567705600*s8d - 
    112896000*li5half*ln2*z2 - 45158400*li4half*ln2^2*z2 - 62720*ln2^6*z2 - 
    1857945600*s6*z2 + 120879360*li4half*z2^2 - 12979680*ln2^4*z2^2 + 
    76960800*ln2^2*z2^3 - 142874352*z2^4 - 1078963200*li5half*z3 + 
    46569600*li4half*ln2*z3 + 10931760*ln2^5*z3 - 146008800*ln2^3*z2*z3 - 
    922320000*ln2*z2^2*z3 - 102211200*ln2^2*z3^2 - 923328000*z2*z3^2 - 
    29164800*ln2^3*z5 - 2553768000*ln2*z2*z5 + 711572400*z3*z5 - 
    559573875*ln2*z7)/11289600, H[-1, 0, -1, 1, 0, 1, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    43008000*ln2^2*s6 - 25536000*ln2*s7a + 12096000*ln2*s7b - 54070800*s8a - 
    233856000*s8b - 53760000*s8c - 2688000*s8d - 112896000*li6half*z2 - 
    131712000*li5half*ln2*z2 - 18816000*li4half*ln2^2*z2 + 156800*ln2^6*z2 - 
    11088000*s6*z2 + 35212800*li4half*z2^2 + 1075200*ln2^4*z2^2 - 
    23562000*ln2^2*z2^3 - 1717188*z2^4 + 85344000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 1887200*ln2^5*z3 + 14168000*ln2^3*z2*z3 + 
    68254200*ln2*z2^2*z3 - 19803000*ln2^2*z3^2 + 64428000*z2*z3^2 - 
    36456000*ln2^3*z5 + 250845000*ln2*z2*z5 - 104385750*z3*z5 + 
    39004875*ln2*z7)/4704000, H[-1, 0, -1, 1, 0, 1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    20160000*ln2*s7a + 20160000*ln2*s7b - 19881225*s8a - 9576000*s8b - 
    40320000*s8c + 40320000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 94752000*s6*z2 - 37800000*li4half*z2^2 + 
    1953000*ln2^4*z2^2 + 9223200*ln2^2*z2^3 - 15854961*z2^4 - 
    165312000*li5half*z3 + 14112000*li4half*ln2*z3 + 1965600*ln2^5*z3 - 
    17304000*ln2^3*z2*z3 - 31487400*ln2*z2^2*z3 + 30870000*ln2^2*z3^2 + 
    28476000*z2*z3^2 + 66260250*ln2*z2*z5 + 170076375*z3*z5 + 
    178124625*ln2*z7)/7056000, H[-1, 0, -1, 1, 0, 1, 0, -1, 1] -> 
  (-460800*ln2^2*s6 + 192000*ln2*s7a - 883200*ln2*s7b + 1793400*s8a + 
    10752000*s8b + 537600*s8c + 2688000*s8d - 1612800*li6half*z2 - 
    1075200*li5half*ln2*z2 + 537600*li4half*ln2^2*z2 + 29120*ln2^6*z2 - 
    7761600*s6*z2 + 685440*li4half*z2^2 - 161840*ln2^4*z2^2 + 
    175680*ln2^2*z2^3 - 865656*z2^4 - 4838400*li5half*z3 - 
    1075200*li4half*ln2*z3 - 4480*ln2^5*z3 + 571200*ln2^3*z2*z3 - 
    1124520*ln2*z2^2*z3 + 164400*ln2^2*z3^2 - 858900*z2*z3^2 + 
    1041600*ln2^3*z5 + 2552400*ln2*z2*z5 + 8030400*z3*z5 - 1797975*ln2*z7)/
   134400, H[-1, 0, -1, 1, 0, 1, -1, 1, 1] -> 
  (-14112000*li4half^2 - 846720000*li8half + 903168000*li7half*ln2 + 
    254016000*li6half*ln2^2 + 1176000*li4half*ln2^4 + 226100*ln2^8 + 
    83916000*ln2^2*s6 + 207648000*ln2*s7a - 286272000*ln2*s7b - 
    428948100*s8a - 2454228000*s8b - 318528000*s8c - 210672000*s8d - 
    254016000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 1470000*ln2^6*z2 + 553644000*s6*z2 - 
    30139200*li4half*z2^2 + 26262600*ln2^4*z2^2 - 1675800*ln2^2*z2^3 + 
    76414014*z2^4 + 477792000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    4569600*ln2^5*z3 + 43344000*ln2^3*z2*z3 + 439966800*ln2*z2^2*z3 + 
    254740500*ln2^2*z3^2 + 385969500*z2*z3^2 + 478485000*ln2^3*z5 + 
    1893087000*ln2*z2*z5 - 502086375*z3*z5 - 2251572750*ln2*z7)/7056000, 
 H[-1, 0, -1, 1, 0, 1, -1, 0, 1] -> (9408000*ln2^2*s6 - 2688000*ln2*s7a + 
    16128000*ln2*s7b - 6627075*s8a - 3192000*s8b - 13440000*s8c + 
    13440000*s8d + 28224000*li6half*z2 - 18816000*li5half*ln2*z2 - 
    9408000*li4half*ln2^2*z2 - 196000*ln2^6*z2 - 13356000*s6*z2 - 
    1780800*li4half*z2^2 + 121800*ln2^4*z2^2 - 4216800*ln2^2*z2^3 - 
    9291612*z2^4 - 17472000*li5half*z3 + 9408000*li4half*ln2*z3 + 
    537600*ln2^5*z3 - 3808000*ln2^3*z2*z3 - 3822000*ln2*z2^2*z3 - 
    1470000*ln2^2*z3^2 + 2950500*z2*z3^2 - 18228000*ln2^3*z5 + 
    10988250*ln2*z2*z5 + 20181000*z3*z5 + 92229375*ln2*z7)/2352000, 
 H[-1, 0, -1, 1, 0, 1, -1, -1, 1] -> 
  (14112000*li4half^2 - 846720000*li8half - 903168000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 1176000*li4half*ln2^4 - 150500*ln2^8 + 
    213192000*ln2^2*s6 - 189504000*ln2*s7a + 255024000*ln2*s7b - 
    253688400*s8a - 1538964000*s8b - 209664000*s8c - 65520000*s8d - 
    70560000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 1822800*ln2^6*z2 + 
    268632000*s6*z2 - 21571200*li4half*z2^2 - 22743000*ln2^4*z2^2 - 
    53827200*ln2^2*z2^3 + 14787756*z2^4 + 166320000*li5half*z3 + 
    3528000*li4half*ln2*z3 - 1239000*ln2^5*z3 + 40761000*ln2^3*z2*z3 + 
    114697800*ln2*z2^2*z3 - 176967000*ln2^2*z3^2 + 203112000*z2*z3^2 - 
    430636500*ln2^3*z5 - 49691250*ln2*z2*z5 + 13411125*z3*z5 + 
    2192360625*ln2*z7)/7056000, H[-1, 0, -1, 1, 0, 0, 1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    81648000*ln2^2*s6 + 12096000*ln2*s7a + 96768000*ln2*s7b - 158092200*s8a - 
    679392000*s8b - 159264000*s8c - 38304000*s8d + 84672000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 161280000*s6*z2 - 
    4838400*li4half*z2^2 + 3326400*ln2^4*z2^2 - 21924000*ln2^2*z2^3 + 
    5287428*z2^4 + 478800000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    3402000*ln2^5*z3 - 672000*ln2^3*z2*z3 + 177118200*ln2*z2^2*z3 - 
    12537000*ln2^2*z3^2 + 201474000*z2*z3^2 - 127596000*ln2^3*z5 + 
    162886500*ln2*z2*z5 - 786940875*z3*z5 + 440811000*ln2*z7)/28224000, 
 H[-1, 0, -1, 1, 0, 0, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    76608000*ln2^2*s6 + 36288000*ln2*s7a + 36288000*ln2*s7b + 7018200*s8a - 
    129024000*s8b + 80640000*s8c - 80640000*s8d - 56448000*li4half*ln2^2*z2 - 
    2352000*ln2^6*z2 + 203616000*s6*z2 - 20361600*li4half*z2^2 + 
    6207600*ln2^4*z2^2 + 41630400*ln2^2*z2^3 + 20555982*z2^4 - 
    290304000*li5half*z3 + 84672000*li4half*ln2*z3 + 5947200*ln2^5*z3 - 
    45360000*ln2^3*z2*z3 - 161821800*ln2*z2^2*z3 + 34020000*ln2^2*z3^2 - 
    72828000*z2*z3^2 - 405625500*ln2*z2*z5 + 376472250*z3*z5 + 
    425273625*ln2*z7)/14112000, H[-1, 0, -1, 1, 0, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    173376000*ln2^2*s6 + 76608000*ln2*s7a - 113904000*ln2*s7b + 
    225423450*s8a + 1028160000*s8b + 193536000*s8c + 88704000*s8d + 
    169344000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 823200*ln2^6*z2 - 
    318528000*s6*z2 - 8366400*li4half*z2^2 + 6707400*ln2^4*z2^2 + 
    73672200*ln2^2*z2^3 + 1729692*z2^4 - 290304000*li5half*z3 - 
    3528000*li4half*ln2*z3 + 2272200*ln2^5*z3 - 23310000*ln2^3*z2*z3 - 
    174736800*ln2*z2^2*z3 + 68544000*ln2^2*z3^2 - 194544000*z2*z3^2 + 
    195951000*ln2^3*z5 - 441929250*ln2*z2*z5 + 509323500*z3*z5 - 
    381394125*ln2*z7)/7056000, H[-1, 0, -1, 1, 0, 0, 0, 1, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 - 
    2476800*ln2^2*s6 + 2073600*ln2*s7a - 4377600*ln2*s7b + 6931575*s8a + 
    38908800*s8b + 4032000*s8c + 5644800*s8d + 806400*li4half*ln2^2*z2 + 
    33600*ln2^6*z2 - 16128000*s6*z2 + 1451520*li4half*z2^2 - 
    40320*ln2^4*z2^2 + 398880*ln2^2*z2^3 - 801588*z2^4 - 4838400*li5half*z3 - 
    1209600*li4half*ln2*z3 - 10080*ln2^5*z3 - 100800*ln2^3*z2*z3 - 
    2478600*ln2*z2^2*z3 + 1684800*ln2^2*z3^2 - 5380200*z2*z3^2 + 
    6249600*ln2^3*z5 - 194400*ln2*z2*z5 + 11491200*z3*z5 - 23055750*ln2*z7)/
   403200, H[-1, 0, -1, 1, 0, 0, 0, 0, 1] -> 
  (151200*s8a + 2016000*s8b + 672000*s6*z2 - 470400*li4half*z2^2 - 
    19600*ln2^4*z2^2 - 638400*ln2^2*z2^3 + 674452*z2^4 - 264600*ln2*z2^2*z3 - 
    126000*z2*z3^2 - 157500*ln2*z2*z5 - 2149875*z3*z5 - 3323250*ln2*z7)/
   336000, H[-1, 0, -1, 1, 0, 0, 0, -1, 1] -> 
  (50400000*ln2^2*s6 - 12096000*ln2*s7a + 25536000*ln2*s7b - 91387800*s8a - 
    394632000*s8b - 76608000*s8c - 36288000*s8d + 133728000*s6*z2 - 
    11726400*li4half*z2^2 - 488600*ln2^4*z2^2 - 18690000*ln2^2*z2^3 + 
    6359047*z2^4 + 100800000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    546000*ln2^5*z3 + 6636000*ln2^3*z2*z3 + 68424300*ln2*z2^2*z3 - 
    4347000*ln2^2*z3^2 + 75206250*z2*z3^2 - 36456000*ln2^3*z5 + 
    143015250*ln2*z2*z5 - 200077500*z3*z5 + 52815000*ln2*z7)/2352000, 
 H[-1, 0, -1, 1, 0, 0, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    28224000*ln2^2*s6 - 16800000*ln2*s7a + 16128000*ln2*s7b - 17681475*s8a - 
    49056000*s8b - 22848000*s8c + 8736000*s8d - 56448000*li5half*ln2*z2 + 
    470400*ln2^6*z2 - 10416000*s6*z2 + 15388800*li4half*z2^2 - 
    2298800*ln2^4*z2^2 - 15477000*ln2^2*z2^3 - 7598466*z2^4 + 
    43680000*li5half*z3 - 9408000*li4half*ln2*z3 - 756000*ln2^5*z3 + 
    5992000*ln2^3*z2*z3 + 25754400*ln2*z2^2*z3 - 17787000*ln2^2*z3^2 + 
    18165000*z2*z3^2 - 31899000*ln2^3*z5 + 74382000*ln2*z2*z5 - 
    54421500*z3*z5 + 66743250*ln2*z7)/2352000, 
 H[-1, 0, -1, 1, 0, 0, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    92736000*ln2^2*s6 + 20160000*ln2*s7a + 20160000*ln2*s7b + 63453600*s8a - 
    68544000*s8b + 145152000*s8c - 145152000*s8d - 
    56448000*li4half*ln2^2*z2 - 2352000*ln2^6*z2 + 332640000*s6*z2 - 
    47376000*li4half*z2^2 + 5082000*ln2^4*z2^2 + 27165600*ln2^2*z2^3 + 
    64949886*z2^4 - 48384000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    5107200*ln2^5*z3 - 32256000*ln2^3*z2*z3 - 146525400*ln2*z2^2*z3 + 
    4788000*ln2^2*z3^2 - 103572000*z2*z3^2 - 492250500*ln2*z2*z5 + 
    71583750*z3*z5 + 136560375*ln2*z7)/14112000, 
 H[-1, 0, -1, 1, 0, 0, -1, -1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    103824000*ln2^2*s6 - 30240000*ln2*s7a + 110880000*ln2*s7b - 
    261294075*s8a - 1334844000*s8b - 161280000*s8c - 219744000*s8d - 
    49392000*li4half*ln2^2*z2 - 2058000*ln2^6*z2 + 630000000*s6*z2 - 
    67939200*li4half*z2^2 + 8635200*ln2^4*z2^2 - 35884800*ln2^2*z2^3 + 
    67584708*z2^4 + 467712000*li5half*z3 + 105840000*li4half*ln2*z3 + 
    512400*ln2^5*z3 - 24528000*ln2^3*z2*z3 + 174232800*ln2*z2^2*z3 - 
    18648000*ln2^2*z3^2 + 198576000*z2*z3^2 - 136710000*ln2^3*z5 + 
    119542500*ln2*z2*z5 - 802887750*z3*z5 + 338829750*ln2*z7)/14112000, 
 H[-1, 0, -1, 1, 0, -1, 1, 1, 1] -> 
  (-677376000*li4half^2 + 4515840000*li8half + 677376000*li6half*ln2^2 + 
    301056000*li5half*ln2^3 - 56448000*li4half*ln2^4 - 2632000*ln2^8 + 
    35280000*ln2^2*s6 - 48384000*ln2*s7a + 205632000*ln2*s7b + 
    1230404175*s8a + 7961688000*s8b + 760032000*s8c + 735840000*s8d - 
    677376000*li6half*z2 - 366912000*li5half*ln2*z2 + 9956800*ln2^6*z2 - 
    2586528000*s6*z2 + 440697600*li4half*z2^2 - 62311200*ln2^4*z2^2 - 
    96314400*ln2^2*z2^3 - 253346832*z2^4 - 250992000*li5half*z3 - 
    84672000*li4half*ln2*z3 - 1436400*ln2^5*z3 - 110880000*ln2^3*z2*z3 - 
    694045800*ln2*z2^2*z3 - 402192000*ln2^2*z3^2 - 626031000*z2*z3^2 - 
    647094000*ln2^3*z5 - 2297610000*ln2*z2*z5 - 682297875*z3*z5 + 
    942070500*ln2*z7)/56448000, H[-1, 0, -1, 1, 0, -1, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    56448000*ln2^2*s6 + 36288000*ln2*s7a - 20160000*ln2*s7b + 4269825*s8a + 
    16632000*s8b + 40320000*s8c - 40320000*s8d + 169344000*li6half*z2 + 
    169344000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 + 
    172368000*s6*z2 - 49694400*li4half*z2^2 + 4985400*ln2^4*z2^2 + 
    23322600*ln2^2*z2^3 + 7413192*z2^4 - 173376000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 2032800*ln2^5*z3 - 17976000*ln2^3*z2*z3 - 
    75675600*ln2*z2^2*z3 + 39690000*ln2^2*z3^2 - 61992000*z2*z3^2 + 
    54684000*ln2^3*z5 - 270663750*ln2*z2*z5 + 157752000*z3*z5 - 
    43729875*ln2*z7)/7056000, H[-1, 0, -1, 1, 0, -1, 1, -1, 1] -> 
  (28224000*li4half^2 - 1128960000*li8half - 18816000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 177800*ln2^8 + 140868000*ln2^2*s6 + 
    13356000*ln2*s7a - 27216000*ln2*s7b - 449293950*s8a - 2743776000*s8b - 
    308448000*s8c - 256032000*s8d + 98784000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 431200*ln2^6*z2 + 794304000*s6*z2 - 
    66024000*li4half*z2^2 + 9979200*ln2^4*z2^2 - 12877200*ln2^2*z2^3 + 
    78574248*z2^4 + 462672000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    4443600*ln2^5*z3 + 42084000*ln2^3*z2*z3 + 354337200*ln2*z2^2*z3 + 
    60070500*ln2^2*z3^2 + 338719500*z2*z3^2 + 64367625*ln2^3*z5 + 
    882968625*ln2*z2*z5 - 395726625*z3*z5 - 83695500*ln2*z7)/3528000, 
 H[-1, 0, -1, 1, 0, -1, 0, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    32256000*ln2^2*s6 - 20160000*ln2*s7a - 133056000*ln2*s7b + 
    173457900*s8a + 616896000*s8b + 161280000*s8c + 8064000*s8d + 
    677376000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 705600*ln2^6*z2 + 294336000*s6*z2 + 
    67939200*li4half*z2^2 + 7534800*ln2^4*z2^2 - 64990800*ln2^2*z2^3 - 
    71442576*z2^4 - 58464000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    1864800*ln2^5*z3 + 9240000*ln2^3*z2*z3 - 53638200*ln2*z2^2*z3 - 
    18333000*ln2^2*z3^2 - 328230000*z2*z3^2 + 109368000*ln2^3*z5 - 
    249543000*ln2*z2*z5 + 325725750*z3*z5 - 734115375*ln2*z7)/14112000, 
 H[-1, 0, -1, 1, 0, -1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    8064000*ln2^2*s6 + 28224000*ln2*s7a + 28224000*ln2*s7b - 28849275*s8a + 
    44856000*s8b - 72576000*s8c + 72576000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 145152000*s6*z2 - 53928000*li4half*z2^2 + 
    1281000*ln2^4*z2^2 + 7988400*ln2^2*z2^3 - 10409109*z2^4 - 
    60480000*li5half*z3 + 56448000*li4half*ln2*z3 + 2856000*ln2^5*z3 - 
    19152000*ln2^3*z2*z3 - 20437200*ln2*z2^2*z3 + 45486000*ln2^2*z3^2 + 
    55314000*z2*z3^2 + 137135250*ln2*z2*z5 - 511875*z3*z5 + 130425750*ln2*z7)/
   7056000, H[-1, 0, -1, 1, 0, -1, 0, -1, 1] -> 
  (32256000*li4half^2 + 2688000*li4half*ln2^4 + 56000*ln2^8 + 
    17280000*ln2^2*s6 + 10944000*ln2*s7a + 27072000*ln2*s7b - 51319800*s8a - 
    161280000*s8b - 56448000*s8c + 8064000*s8d + 48384000*li6half*z2 + 
    16128000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 
    38304000*s6*z2 - 21571200*li4half*z2^2 - 1570800*ln2^4*z2^2 - 
    6058800*ln2^2*z2^3 - 8706168*z2^4 - 24192000*li5half*z3 + 
    36288000*li4half*ln2*z3 + 1713600*ln2^5*z3 - 504000*ln2^3*z2*z3 + 
    4350600*ln2*z2^2*z3 + 21618000*ln2^2*z3^2 + 37327500*z2*z3^2 - 
    15624000*ln2^3*z5 + 66258000*ln2*z2*z5 - 27846000*z3*z5 + 
    111126375*ln2*z7)/2016000, H[-1, 0, -1, 1, 0, -1, -1, 1, 1] -> 
  (-903168000*li4half^2 + 4515840000*li8half - 5419008000*li7half*ln2 - 
    2032128000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    75264000*li4half*ln2^4 - 1948800*ln2^8 - 478800000*ln2^2*s6 - 
    1378944000*ln2*s7a + 1514016000*ln2*s7b + 2130034725*s8a + 
    11718504000*s8b + 1514016000*s8c + 997920000*s8d + 
    2032128000*li6half*z2 - 366912000*li5half*ln2*z2 - 
    225792000*li4half*ln2^2*z2 + 548800*ln2^6*z2 - 2151072000*s6*z2 + 
    724550400*li4half*z2^2 - 36372000*ln2^4*z2^2 - 303206400*ln2^2*z2^3 - 
    639761184*z2^4 - 1678320000*li5half*z3 - 338688000*li4half*ln2*z3 - 
    126000*ln2^5*z3 - 166320000*ln2^3*z2*z3 - 1853497800*ln2*z2^2*z3 - 
    1426572000*ln2^2*z3^2 - 2107917000*z2*z3^2 - 2615718000*ln2^3*z5 - 
    8703702000*ln2*z2*z5 + 2172342375*z3*z5 + 12369160125*ln2*z7)/56448000, 
 H[-1, 0, -1, 1, 0, -1, -1, 0, 1] -> 
  (32256000*li4half^2 + 2688000*li4half*ln2^4 + 56000*ln2^8 - 
    8640000*ln2^2*s6 + 8640000*ln2*s7a + 8640000*ln2*s7b - 5125050*s8a + 
    13104000*s8b - 96768000*li6half*z2 - 32256000*li5half*ln2*z2 - 
    16128000*li4half*ln2^2*z2 - 537600*ln2^6*z2 - 50400000*s6*z2 - 
    20160000*li4half*z2^2 + 504000*ln2^4*z2^2 + 8762400*ln2^2*z2^3 + 
    20062512*z2^4 + 8064000*li5half*z3 + 32256000*li4half*ln2*z3 + 
    1276800*ln2^5*z3 - 7392000*ln2^3*z2*z3 - 11001600*ln2*z2^2*z3 + 
    10800000*ln2^2*z3^2 + 26302500*z2*z3^2 + 12987000*ln2*z2*z5 - 
    47084625*z3*z5 + 29545875*ln2*z7)/4032000, 
 H[-1, 0, -1, 1, 0, -1, -1, -1, 1] -> 
  (479808000*li4half^2 + 9031680000*li8half + 5419008000*li7half*ln2 + 
    1354752000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    39984000*li4half*ln2^4 + 609000*ln2^8 - 1384992000*ln2^2*s6 + 
    1403136000*ln2*s7a - 1094688000*ln2*s7b + 2534571900*s8a + 
    17671248000*s8b + 1572480000*s8c + 1673280000*s8d - 
    155232000*li4half*ln2^2*z2 - 5840800*ln2^6*z2 - 4969440000*s6*z2 - 
    29433600*li4half*z2^2 + 7593600*ln2^4*z2^2 + 285213600*ln2^2*z2^3 - 
    484495776*z2^4 - 3346560000*li5half*z3 + 719712000*li4half*ln2*z3 + 
    57876000*ln2^5*z3 - 384720000*ln2^3*z2*z3 - 2034295200*ln2*z2^2*z3 + 
    1166319000*ln2^2*z3^2 - 1818810000*z2*z3^2 + 2232930000*ln2^3*z5 - 
    1483272000*ln2*z2*z5 + 1532412000*z3*z5 - 11078069625*ln2*z7)/56448000, 
 H[-1, 0, -1, 1, -1, 1, 1, 1, 1] -> 
  (-18816000*li4half^2 + 573888000*li8half - 178752000*li7half*ln2 - 
    4704000*li6half*ln2^2 + 4704000*li5half*ln2^3 - 1568000*li4half*ln2^4 - 
    28700*ln2^8 + 17304000*ln2^2*s6 - 25200000*ln2*s7a + 672000*ln2*s7b + 
    112099575*s8a + 866376000*s8b + 51072000*s8c + 101808000*s8d + 
    4704000*li6half*z2 - 4704000*li5half*ln2*z2 - 4704000*li4half*ln2^2*z2 + 
    490000*ln2^6*z2 - 297696000*s6*z2 + 32121600*li4half*z2^2 - 
    8099000*ln2^4*z2^2 - 41706000*ln2^2*z2^3 - 60212928*z2^4 - 
    187152000*li5half*z3 - 9408000*li4half*ln2*z3 + 1167600*ln2^5*z3 + 
    868000*ln2^3*z2*z3 - 73449600*ln2*z2^2*z3 - 32434500*ln2^2*z3^2 - 
    77185500*z2*z3^2 - 22785000*ln2^3*z5 - 147399000*ln2*z2*z5 + 
    109160625*z3*z5 + 189380625*ln2*z7)/9408000, 
 H[-1, 0, -1, 1, -1, 1, 1, 0, 1] -> 
  (-37632000*li4half^2 - 2634240000*li8half - 263424000*li7half*ln2 - 
    3136000*li4half*ln2^4 - 78400*ln2^8 + 265776000*ln2^2*s6 - 
    68544000*ln2*s7a - 12096000*ln2*s7b - 683121075*s8a - 4807152000*s8b - 
    394464000*s8c - 532224000*s8d + 37632000*li6half*z2 + 
    18816000*li5half*ln2*z2 + 32928000*li4half*ln2^2*z2 + 1999200*ln2^6*z2 + 
    1545432000*s6*z2 - 79396800*li4half*z2^2 + 4002600*ln2^4*z2^2 - 
    24679200*ln2^2*z2^3 + 222324948*z2^4 + 1033872000*li5half*z3 - 
    47040000*li4half*ln2*z3 - 10575600*ln2^5*z3 + 96152000*ln2^3*z2*z3 + 
    580062000*ln2*z2^2*z3 - 30208500*ln2^2*z3^2 + 484449000*z2*z3^2 - 
    54684000*ln2^3*z5 + 1205620500*ln2*z2*z5 - 695947875*z3*z5 - 
    1887375*ln2*z7)/9408000, H[-1, 0, -1, 1, -1, 1, 1, -1, 1] -> 
  (-1128960000*li8half + 592704000*li7half*ln2 - 14112000*li5half*ln2^3 - 
    28000*ln2^8 - 77616000*ln2^2*s6 + 87696000*ln2*s7a - 102816000*ln2*s7b - 
    192751650*s8a - 1597680000*s8b - 20160000*s8c - 346752000*s8d + 
    127008000*li5half*ln2*z2 - 2508800*ln2^6*z2 + 876960000*s6*z2 - 
    69350400*li4half*z2^2 + 39858000*ln2^4*z2^2 + 116071200*ln2^2*z2^3 + 
    222057936*z2^4 + 630000000*li5half*z3 - 5250000*ln2^5*z3 - 
    63924000*ln2^3*z2*z3 + 218383200*ln2*z2^2*z3 + 112455000*ln2^2*z3^2 + 
    104643000*z2*z3^2 + 177723000*ln2^3*z5 + 224910000*ln2*z2*z5 - 
    703552500*z3*z5 - 1747675125*ln2*z7)/28224000, 
 H[-1, 0, -1, 1, -1, 1, 0, 1, 1] -> 
  (112896000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 9408000*li4half*ln2^4 + 263200*ln2^8 - 
    915264000*ln2^2*s6 + 326592000*ln2*s7a - 379008000*ln2*s7b + 
    1814650425*s8a + 10960992000*s8b + 1290240000*s8c + 981792000*s8d + 
    84672000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 509600*ln2^6*z2 - 3014928000*s6*z2 + 
    125798400*li4half*z2^2 - 2402400*ln2^4*z2^2 + 234360000*ln2^2*z2^3 - 
    282560112*z2^4 - 1991808000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    18950400*ln2^5*z3 - 174804000*ln2^3*z2*z3 - 1356906600*ln2*z2^2*z3 + 
    199458000*ln2^2*z3^2 - 1421689500*z2*z3^2 + 683550000*ln2^3*z5 - 
    2789136000*ln2*z2*z5 + 1760905125*z3*z5 - 3540159000*ln2*z7)/14112000, 
 H[-1, 0, -1, 1, -1, 1, 0, 0, 1] -> (15724800*ln2^2*s6 - 2217600*ln2*s7a + 
    4838400*ln2*s7b - 32508000*s8a - 154980000*s8b - 27014400*s8c - 
    12499200*s8d + 5644800*li6half*z2 + 7840*ln2^6*z2 + 46166400*s6*z2 - 
    2499840*li4half*z2^2 + 836640*ln2^4*z2^2 - 7896420*ln2^2*z2^3 - 
    2602053*z2^4 + 24998400*li5half*z3 - 208320*ln2^5*z3 + 
    2877000*ln2^3*z2*z3 + 24515820*ln2*z2^2*z3 + 1026900*ln2^2*z3^2 + 
    26324550*z2*z3^2 - 6835500*ln2^3*z5 + 67271400*ln2*z2*z5 - 
    47817000*z3*z5 + 30033675*ln2*z7)/705600, 
 H[-1, 0, -1, 1, -1, 1, 0, -1, 1] -> 
  (56448000*li4half^2 - 4515840000*li8half - 903168000*li7half*ln2 + 
    4704000*li4half*ln2^4 + 165200*ln2^8 + 921312000*ln2^2*s6 - 
    207648000*ln2*s7a + 286272000*ln2*s7b - 1964850300*s8a - 
    11706912000*s8b - 1427328000*s8c - 999936000*s8d + 77616000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 166600*ln2^6*z2 + 
    3248784000*s6*z2 - 235267200*li4half*z2^2 - 130200*ln2^4*z2^2 - 
    199445400*ln2^2*z2^3 + 244026072*z2^4 + 1985760000*li5half*z3 + 
    28224000*li4half*ln2*z3 - 15372000*ln2^5*z3 + 192822000*ln2^3*z2*z3 + 
    1444640400*ln2*z2^2*z3 - 58842000*ln2^2*z3^2 + 1507582125*z2*z3^2 - 
    478485000*ln2^3*z5 + 3425184000*ln2*z2*z5 - 1768977000*z3*z5 + 
    2398977000*ln2*z7)/7056000, H[-1, 0, -1, 1, -1, 1, -1, 1, 1] -> 
  (-2145024000*li8half - 84672000*li6half*ln2^2 - 170800*ln2^8 + 
    61488000*ln2^2*s6 - 470387925*s8a - 3353112000*s8b - 292320000*s8c - 
    286272000*s8d + 84672000*li6half*z2 - 2273600*ln2^6*z2 + 
    946512000*s6*z2 - 57254400*li4half*z2^2 + 30660000*ln2^4*z2^2 + 
    64814400*ln2^2*z2^3 + 130967712*z2^4 + 572544000*li5half*z3 - 
    4771200*ln2^5*z3 + 26544000*ln2^3*z2*z3 + 364480200*ln2*z2^2*z3 + 
    68229000*ln2^2*z3^2 + 304794000*z2*z3^2 + 869022000*ln2*z2*z5 - 
    112478625*z3*z5 - 28224000*ln2*z7)/28224000, 
 H[-1, 0, -1, 1, -1, 1, -1, 0, 1] -> 
  (2257920000*li8half + 225792000*li7half*ln2 + 11200*ln2^8 - 
    245952000*ln2^2*s6 + 28224000*ln2*s7a - 28224000*ln2*s7b + 
    653785650*s8a + 4281984000*s8b + 435456000*s8c + 383040000*s8d - 
    21168000*li6half*z2 - 656600*ln2^6*z2 - 1196496000*s6*z2 + 
    76608000*li4half*z2^2 - 8009400*ln2^4*z2^2 + 9916200*ln2^2*z2^3 - 
    148088196*z2^4 - 766080000*li5half*z3 + 6384000*ln2^5*z3 - 
    53256000*ln2^3*z2*z3 - 506507400*ln2*z2^2*z3 - 25956000*ln2^2*z3^2 - 
    476807625*z2*z3^2 + 54684000*ln2^3*z5 - 1218168000*ln2*z2*z5 + 
    440984250*z3*z5 - 321819750*ln2*z7)/7056000, 
 H[-1, 0, -1, 1, -1, 1, -1, -1, 1] -> 
  (24192000*li4half^2 + 181440000*li8half + 8064000*li7half*ln2 + 
    18144000*li6half*ln2^2 + 2016000*li4half*ln2^4 + 70100*ln2^8 + 
    22536000*ln2^2*s6 + 144000*ln2*s7a + 9216000*ln2*s7b - 6312600*s8a + 
    83160000*s8b - 24192000*s8c + 30240000*s8d + 6048000*li5half*ln2*z2 + 
    6048000*li4half*ln2^2*z2 + 487200*ln2^6*z2 - 63504000*s6*z2 - 
    9072000*li4half*z2^2 - 6686400*ln2^4*z2^2 - 14292000*ln2^2*z2^3 - 
    25580016*z2^4 - 63504000*li5half*z3 + 12096000*li4half*ln2*z3 + 
    1033200*ln2^5*z3 + 9828000*ln2^3*z2*z3 - 9579600*ln2*z2^2*z3 - 
    387000*ln2^2*z3^2 + 13986000*z2*z3^2 - 8788500*ln2^3*z5 + 
    48150000*ln2*z2*z5 + 19419750*z3*z5 + 92332125*ln2*z7)/4032000, 
 H[-1, 0, -1, 1, -1, 0, 1, 1, 1] -> 
  (-9031680000*li8half - 5419008000*li7half*ln2 - 1354752000*li6half*ln2^2 - 
    150528000*li5half*ln2^3 + 224000*ln2^8 + 1295280000*ln2^2*s6 - 
    1185408000*ln2*s7a + 1778112000*ln2*s7b - 2703218175*s8a - 
    17965080000*s8b - 1687392000*s8c - 1840608000*s8d + 
    1354752000*li6half*z2 + 254016000*li5half*ln2*z2 - 862400*ln2^6*z2 + 
    6179040000*s6*z2 - 368121600*li4half*z2^2 - 22394400*ln2^4*z2^2 - 
    280274400*ln2^2*z2^3 + 583466112*z2^4 + 3476592000*li5half*z3 - 
    28971600*ln2^5*z3 + 168000000*ln2^3*z2*z3 + 1545805800*ln2*z2^2*z3 - 
    1066527000*ln2^2*z3^2 + 1785042000*z2*z3^2 - 2797998000*ln2^3*z5 - 
    470610000*ln2*z2*z5 - 2696171625*z3*z5 + 13639027500*ln2*z7)/56448000, 
 H[-1, 0, -1, 1, -1, 0, 1, 0, 1] -> (10752000*ln2^2*s6 + 1344000*ln2*s7a + 
    8870400*ln2*s7b - 24334800*s8a - 96768000*s8b - 24192000*s8c + 
    1612800*s8d - 22579200*li6half*z2 - 11289600*li5half*ln2*z2 - 
    5644800*li4half*ln2^2*z2 - 172480*ln2^6*z2 - 1814400*s6*z2 - 
    147840*li4half*z2^2 + 934640*ln2^4*z2^2 - 529200*ln2^2*z2^3 - 
    3258296*z2^4 - 1344000*li5half*z3 + 3763200*li4half*ln2*z3 + 
    168000*ln2^5*z3 - 3169600*ln2^3*z2*z3 + 12363960*ln2*z2^2*z3 + 
    5082000*ln2^2*z3^2 + 24082800*z2*z3^2 - 7291200*ln2^3*z5 + 
    54795300*ln2*z2*z5 - 5062050*z3*z5 + 64728825*ln2*z7)/940800, 
 H[-1, 0, -1, 1, -1, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 + 2257920000*li8half + 338688000*li7half*ln2 + 
    9408000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 138600*ln2^8 - 
    437220000*ln2^2*s6 + 87444000*ln2*s7a - 126000000*ln2*s7b + 
    985820850*s8a + 5867568000*s8b + 699552000*s8c + 542304000*s8d - 
    28224000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 + 568400*ln2^6*z2 - 
    1705536000*s6*z2 + 126100800*li4half*z2^2 - 6888000*ln2^4*z2^2 + 
    84105000*ln2^2*z2^3 - 158927004*z2^4 - 1077552000*li5half*z3 - 
    14112000*li4half*ln2*z3 + 8391600*ln2^5*z3 - 80976000*ln2^3*z2*z3 - 
    740476800*ln2*z2^2*z3 + 10930500*ln2^2*z3^2 - 758614500*z2*z3^2 + 
    202216875*ln2^3*z5 - 1700141625*ln2*z2*z5 + 1054438875*z3*z5 - 
    835710750*ln2*z7)/3528000, H[-1, 0, -1, 1, -1, 0, 0, 1, 1] -> 
  (-6720000*ln2^2*s6 + 19488000*ln2*s7a - 32256000*ln2*s7b + 7015050*s8a + 
    64848000*s8b - 2016000*s8c + 16128000*s8d - 112896000*li6half*z2 - 
    18816000*li5half*ln2*z2 - 100464000*s6*z2 + 3225600*li4half*z2^2 + 
    918400*ln2^4*z2^2 + 3851400*ln2^2*z2^3 + 8636638*z2^4 - 
    1680000*li5half*z3 + 14000*ln2^5*z3 + 2506000*ln2^3*z2*z3 + 
    10798200*ln2*z2^2*z3 + 22291500*ln2^2*z3^2 + 18931500*z2*z3^2 + 
    50127000*ln2^3*z5 + 117447750*ln2*z2*z5 + 9631125*z3*z5 - 
    156620625*ln2*z7)/2352000, H[-1, 0, -1, 1, -1, 0, 0, 0, 1] -> 
  (-88704000*ln2^2*s6 + 12096000*ln2*s7a - 25536000*ln2*s7b + 186281550*s8a + 
    899808000*s8b + 153216000*s8c + 72576000*s8d - 246288000*s6*z2 + 
    14515200*li4half*z2^2 + 604800*ln2^4*z2^2 + 36590400*ln2^2*z2^3 + 
    13717798*z2^4 - 173376000*li5half*z3 + 1444800*ln2^5*z3 - 
    14448000*ln2^3*z2*z3 - 151305000*ln2*z2^2*z3 - 6426000*ln2^2*z3^2 - 
    155778000*z2*z3^2 + 36456000*ln2^3*z5 - 388164000*ln2*z2*z5 + 
    287883750*z3*z5 - 181274625*ln2*z7)/4704000, 
 H[-1, 0, -1, 1, -1, 0, 0, -1, 1] -> 
  (-1344000*ln2^2*s6 + 4704000*ln2*s7a - 2903775*s8a + 43680000*s8b - 
    6720000*s8c + 6720000*s8d - 56448000*li6half*z2 - 
    9408000*li5half*ln2*z2 - 38136000*s6*z2 + 1344000*li4half*z2^2 + 
    448000*ln2^4*z2^2 + 4607400*ln2^2*z2^3 + 12077726*z2^4 + 
    5376000*li5half*z3 - 44800*ln2^5*z3 - 2198000*ln2^3*z2*z3 + 
    4141200*ln2*z2^2*z3 + 6825000*ln2^2*z3^2 + 13713000*z2*z3^2 + 
    4557000*ln2^3*z5 + 17256750*ln2*z2*z5 - 37574250*z3*z5 - 66866625*ln2*z7)/
   2352000, H[-1, 0, -1, 1, -1, 0, -1, 1, 1] -> 
  (4032000*li4half^2 + 96768000*li7half*ln2 + 24192000*li6half*ln2^2 + 
    336000*li4half*ln2^4 + 21400*ln2^8 - 2736000*ln2^2*s6 + 
    20880000*ln2*s7a - 26496000*ln2*s7b - 10795050*s8a - 44352000*s8b - 
    10080000*s8c - 2016000*s8d - 24192000*li6half*z2 - 
    6048000*li5half*ln2*z2 + 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 
    3024000*s6*z2 - 2923200*li4half*z2^2 + 1276800*ln2^4*z2^2 + 
    2683800*ln2^2*z2^3 + 2281122*z2^4 + 11088000*li5half*z3 + 
    2016000*li4half*ln2*z3 - 8400*ln2^5*z3 + 1176000*ln2^3*z2*z3 + 
    16853400*ln2*z2^2*z3 + 22603500*ln2^2*z3^2 + 14395500*z2*z3^2 + 
    45895500*ln2^3*z5 + 115301250*ln2*z2*z5 - 20498625*z3*z5 - 
    219330000*ln2*z7)/504000, H[-1, 0, -1, 1, -1, 0, -1, 0, 1] -> 
  (-7680000*ln2^2*s6 + 960000*ln2*s7a + 960000*ln2*s7b + 14393400*s8a + 
    59136000*s8b + 13440000*s8c + 2688000*s8d + 16128000*li6half*z2 - 
    2688000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 123200*ln2^6*z2 - 
    3024000*s6*z2 + 201600*li4half*z2^2 + 456400*ln2^4*z2^2 + 
    1710000*ln2^2*z2^3 - 269096*z2^4 - 12096000*li5half*z3 + 
    2688000*li4half*ln2*z3 + 212800*ln2^5*z3 - 3696000*ln2^3*z2*z3 - 
    13812600*ln2*z2^2*z3 - 690000*ln2^2*z3^2 - 16590000*z2*z3^2 - 
    40756500*ln2*z2*z5 + 24869250*z3*z5 + 4486875*ln2*z7)/672000, 
 H[-1, 0, -1, 1, -1, 0, -1, -1, 1] -> 
  (-14112000*li4half^2 - 4515840000*li8half - 1806336000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 1176000*li4half*ln2^4 - 91700*ln2^8 + 
    898464000*ln2^2*s6 - 397152000*ln2*s7a + 562464000*ln2*s7b - 
    1797581100*s8a - 10935960000*s8b - 1247232000*s8c - 1024800000*s8d - 
    37632000*li5half*ln2*z2 - 35280000*li4half*ln2^2*z2 - 842800*ln2^6*z2 + 
    3185616000*s6*z2 - 203548800*li4half*z2^2 - 1915200*ln2^4*z2^2 - 
    186698400*ln2^2*z2^3 + 320564784*z2^4 + 2077824000*li5half*z3 + 
    49392000*li4half*ln2*z3 - 15257200*ln2^5*z3 + 121996000*ln2^3*z2*z3 + 
    1259025600*ln2*z2^2*z3 - 275184000*ln2^2*z3^2 + 1367016000*z2*z3^2 - 
    929628000*ln2^3*z5 + 2073949500*ln2*z2*z5 - 1879179750*z3*z5 + 
    4332801375*ln2*z7)/9408000, H[-1, 0, -1, 1, -1, -1, 1, 1, 1] -> 
  (-8467200*li4half^2 + 22579200*li8half - 95961600*li7half*ln2 - 
    8467200*li6half*ln2^2 + 2822400*li5half*ln2^3 - 1411200*li4half*ln2^4 - 
    59780*ln2^8 - 9273600*ln2^2*s6 - 20764800*ln2*s7a + 51206400*ln2*s7b + 
    40674375*s8a + 142934400*s8b + 43142400*s8c - 9273600*s8d + 
    8467200*li6half*z2 + 8467200*li5half*ln2*z2 + 4233600*li4half*ln2^2*z2 + 
    219520*ln2^6*z2 + 10080000*s6*z2 - 584640*li4half*z2^2 - 
    2511600*ln2^4*z2^2 + 6627600*ln2^2*z2^3 + 11568672*z2^4 + 
    22780800*li5half*z3 + 4233600*li4half*ln2*z3 - 13440*ln2^5*z3 - 
    9744000*ln2^3*z2*z3 - 47418840*ln2*z2^2*z3 - 39034800*ln2^2*z3^2 - 
    29093400*z2*z3^2 - 82026000*ln2^3*z5 - 277596900*ln2*z2*z5 - 
    37269225*z3*z5 + 332673075*ln2*z7)/5644800, 
 H[-1, 0, -1, 1, -1, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 + 6773760000*li8half + 677376000*li7half*ln2 - 
    4704000*li4half*ln2^4 - 64400*ln2^8 - 747936000*ln2^2*s6 + 
    209664000*ln2*s7a + 26208000*ln2*s7b + 1816009650*s8a + 13344912000*s8b + 
    1076544000*s8c + 1548288000*s8d + 169344000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 183456000*li4half*ln2^2*z2 - 9760800*ln2^6*z2 - 
    4289040000*s6*z2 + 383040000*li4half*z2^2 + 21016800*ln2^4*z2^2 + 
    137743200*ln2^2*z2^3 - 650681856*z2^4 - 3251808000*li5half*z3 - 
    134064000*li4half*ln2*z3 + 21512400*ln2^5*z3 - 375060000*ln2^3*z2*z3 - 
    1600300800*ln2*z2^2*z3 + 110691000*ln2^2*z3^2 - 1427895000*z2*z3^2 + 
    177723000*ln2^3*z5 - 3655449000*ln2*z2*z5 + 2530158750*z3*z5 + 
    248479875*ln2*z7)/56448000, H[-1, 0, -1, 1, -1, -1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 282240000*li8half + 282240000*li7half*ln2 - 
    9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 19600*ln2^8 - 
    120960000*ln2^2*s6 + 58464000*ln2*s7a - 157920000*ln2*s7b + 
    153801900*s8a + 796320000*s8b + 124992000*s8c + 86688000*s8d + 
    28224000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1136800*ln2^6*z2 - 
    279216000*s6*z2 + 76608000*li4half*z2^2 + 6720000*ln2^4*z2^2 + 
    16380000*ln2^2*z2^3 - 54393336*z2^4 - 187488000*li5half*z3 - 
    119952000*li4half*ln2*z3 - 3435600*ln2^5*z3 + 14364000*ln2^3*z2*z3 - 
    47888400*ln2*z2^2*z3 + 55503000*ln2^2*z3^2 - 132993000*z2*z3^2 + 
    250635000*ln2^3*z5 - 27363000*ln2*z2*z5 + 336357000*z3*z5 - 
    613150125*ln2*z7)/18816000, H[-1, 0, -1, 1, -1, -1, 0, 1, 1] -> 
  (-16128000*li4half^2 - 645120000*li8half - 258048000*li7half*ln2 - 
    32256000*li6half*ln2^2 - 1344000*li4half*ln2^4 - 37600*ln2^8 + 
    137952000*ln2^2*s6 - 51264000*ln2*s7a + 47520000*ln2*s7b - 
    262194975*s8a - 1602216000*s8b - 187488000*s8c - 143136000*s8d - 
    17472000*li5half*ln2*z2 - 8064000*li4half*ln2^2*z2 - 145600*ln2^6*z2 + 
    456624000*s6*z2 - 19152000*li4half*z2^2 + 266000*ln2^4*z2^2 - 
    39206400*ln2^2*z2^3 + 37757544*z2^4 + 296016000*li5half*z3 - 
    3024000*li4half*ln2*z3 - 2592800*ln2^5*z3 + 27944000*ln2^3*z2*z3 + 
    201071400*ln2*z2^2*z3 - 28894500*ln2^2*z3^2 + 195583500*z2*z3^2 - 
    95697000*ln2^3*z5 + 425478000*ln2*z2*z5 - 239780625*z3*z5 + 
    469933125*ln2*z7)/2688000, H[-1, 0, -1, 1, -1, -1, 0, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    147168000*ln2^2*s6 + 47712000*ln2*s7a - 22848000*ln2*s7b + 
    282179100*s8a + 1497720000*s8b + 198912000*s8c + 168000000*s8d - 
    56448000*li6half*z2 + 9408000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 744800*ln2^6*z2 - 534744000*s6*z2 - 
    24024000*li4half*z2^2 - 11389000*ln2^4*z2^2 + 84218400*ln2^2*z2^3 + 
    20380176*z2^4 - 354816000*li5half*z3 + 65856000*li4half*ln2*z3 + 
    5700800*ln2^5*z3 - 31920000*ln2^3*z2*z3 - 280480200*ln2*z2^2*z3 + 
    31668000*ln2^2*z3^2 - 200781000*z2*z3^2 + 68355000*ln2^3*z5 - 
    538513500*ln2*z2*z5 + 490696500*z3*z5 - 187821375*ln2*z7)/9408000, 
 H[-1, 0, -1, 1, -1, -1, 0, -1, 1] -> 
  (28224000*li4half^2 + 1290240000*li8half + 258048000*li7half*ln2 + 
    2352000*li4half*ln2^4 + 29800*ln2^8 - 255168000*ln2^2*s6 + 
    77760000*ln2*s7a - 64032000*ln2*s7b + 529212600*s8a + 3323376000*s8b + 
    354816000*s8c + 326592000*s8d - 16128000*li6half*z2 - 
    5376000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 + 33600*ln2^6*z2 - 
    994896000*s6*z2 + 45561600*li4half*z2^2 - 3539200*ln2^4*z2^2 + 
    56978400*ln2^2*z2^3 - 81678624*z2^4 - 650496000*li5half*z3 + 
    31248000*li4half*ln2*z3 + 6722800*ln2^5*z3 - 50428000*ln2^3*z2*z3 - 
    425648400*ln2*z2^2*z3 + 47304000*ln2^2*z3^2 - 396837000*z2*z3^2 + 
    137361000*ln2^3*z5 - 880218000*ln2*z2*z5 + 557917500*z3*z5 - 
    618176625*ln2*z7)/2688000, H[-1, 0, -1, 1, -1, -1, -1, 1, 1] -> 
  (-141120000*li4half^2 + 620928000*li8half + 903168000*li7half*ln2 + 
    169344000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 + 434000*ln2^8 + 211680000*ln2^2*s6 + 
    108864000*ln2*s7a - 187488000*ln2*s7b - 569056950*s8a - 2924208000*s8b - 
    499968000*s8c - 304416000*s8d - 169344000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 98784000*li4half*ln2^2*z2 - 3802400*ln2^6*z2 + 
    940464000*s6*z2 + 12499200*li4half*z2^2 + 33801600*ln2^4*z2^2 - 
    162036000*ln2^2*z2^3 - 70557912*z2^4 + 749952000*li5half*z3 + 
    35280000*li4half*ln2*z3 - 4779600*ln2^5*z3 + 53676000*ln2^3*z2*z3 + 
    566596800*ln2*z2^2*z3 + 244755000*ln2^2*z3^2 + 483021000*z2*z3^2 + 
    341775000*ln2^3*z5 + 2261889000*ln2*z2*z5 - 1122171750*z3*z5 - 
    1621990125*ln2*z7)/56448000, H[-1, 0, -1, 1, -1, -1, -1, 0, 1] -> 
  (63504000*li4half^2 - 2257920000*li8half - 225792000*li7half*ln2 + 
    5292000*li4half*ln2^4 + 99050*ln2^8 + 184464000*ln2^2*s6 + 
    1008000*ln2*s7a + 36288000*ln2*s7b - 575564850*s8a - 3778740000*s8b - 
    370944000*s8c - 327600000*s8d - 28224000*li6half*z2 - 
    42336000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 823200*ln2^6*z2 + 
    1002708000*s6*z2 - 108561600*li4half*z2^2 + 12558000*ln2^4*z2^2 + 
    16682400*ln2^2*z2^3 + 171270504*z2^4 + 669312000*li5half*z3 + 
    56448000*li4half*ln2*z3 - 3225600*ln2^5*z3 + 20496000*ln2^3*z2*z3 + 
    414300600*ln2*z2^2*z3 + 53424000*ln2^2*z3^2 + 429912000*z2*z3^2 - 
    34177500*ln2^3*z5 + 1045926000*ln2*z2*z5 - 362533500*z3*z5 + 
    309180375*ln2*z7)/14112000, H[-1, 0, -1, 1, -1, -1, -1, -1, 1] -> 
  (127008000*li4half^2 - 564480000*li8half - 508032000*li7half*ln2 - 
    70560000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 7056000*li4half*ln2^4 - 
    94500*ln2^8 - 48384000*ln2^2*s6 + 51408000*ln2*s7a + 185472000*ln2*s7b + 
    46270350*s8a + 515592000*s8b - 6048000*s8c + 111888000*s8d - 
    70560000*li5half*ln2*z2 - 63504000*li4half*ln2^2*z2 - 1626800*ln2^6*z2 - 
    276696000*s6*z2 - 79228800*li4half*z2^2 - 6711600*ln2^4*z2^2 + 
    48585600*ln2^2*z2^3 + 81211356*z2^4 - 188496000*li5half*z3 + 
    232848000*li4half*ln2*z3 + 11272800*ln2^5*z3 - 73920000*ln2^3*z2*z3 - 
    209273400*ln2*z2^2*z3 + 43501500*ln2^2*z3^2 - 22585500*z2*z3^2 - 
    157216500*ln2^3*z5 - 530869500*ln2*z2*z5 + 178337250*z3*z5 + 
    922595625*ln2*z7)/28224000, H[-1, 0, -1, 0, 1, 1, 1, 1, 1] -> 
  (-18144000*li4half^2 + 16128000*li8half + 16128000*li7half*ln2 + 
    8064000*li6half*ln2^2 + 2688000*li5half*ln2^3 - 840000*li4half*ln2^4 - 
    17500*ln2^8 - 4032000*ln2^2*s6 + 2016000*ln2*s7a - 2016000*ln2*s7b + 
    6180300*s8a + 24192000*s8b + 8064000*s8c - 4032000*s8d - 
    8064000*li6half*z2 - 14112000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 + 
    8400*ln2^6*z2 + 4032000*s6*z2 + 4737600*li4half*z2^2 + 
    575400*ln2^4*z2^2 - 932400*ln2^2*z2^3 + 2258748*z2^4 + 
    25704000*li5half*z3 - 3528000*li4half*ln2*z3 - 243600*ln2^5*z3 - 
    798000*ln2^3*z2*z3 - 919800*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 
    3654000*z2*z3^2 + 2604000*ln2^3*z5 - 8820000*ln2*z2*z5 - 22160250*z3*z5 - 
    26656875*ln2*z7)/4032000, H[-1, 0, -1, 0, 1, 1, 1, 0, 1] -> 
  (4838400*li4half^2 + 403200*li4half*ln2^4 + 8400*ln2^8 - 806400*ln2^2*s6 + 
    3225600*ln2*s7a + 3225600*ln2*s7b - 3372075*s8a - 705600*s8b - 
    4838400*s8c + 4838400*s8d + 1612800*li6half*z2 + 1612800*li5half*ln2*z2 - 
    1612800*li4half*ln2^2*z2 - 78400*ln2^6*z2 - 9273600*s6*z2 - 
    1008000*li4half*z2^2 + 159600*ln2^4*z2^2 + 937440*ln2^2*z2^3 - 
    1783056*z2^4 - 12902400*li5half*z3 + 2419200*li4half*ln2*z3 + 
    208320*ln2^5*z3 - 1444800*ln2^3*z2*z3 - 1958040*ln2*z2^2*z3 + 
    3301200*ln2^2*z3^2 + 3965850*z2*z3^2 + 5002200*ln2*z2*z5 + 
    6462225*z3*z5 + 21908250*ln2*z7)/806400, 
 H[-1, 0, -1, 0, 1, 1, 1, -1, 1] -> (37632000*li4half^2 - 827904000*li8half - 
    75264000*li7half*ln2 - 12544000*li5half*ln2^3 + 33600*ln2^8 + 
    101808000*ln2^2*s6 + 48384000*ln2*s7a + 20160000*ln2*s7b - 
    345491475*s8a - 1724856000*s8b - 300384000*s8c - 38304000*s8d + 
    56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 705600*ln2^6*z2 + 
    245952000*s6*z2 - 24595200*li4half*z2^2 - 397600*ln2^4*z2^2 - 
    8551200*ln2^2*z2^3 + 10367664*z2^4 + 48384000*li5half*z3 - 
    35280000*li4half*ln2*z3 - 2422000*ln2^5*z3 + 50680000*ln2^3*z2*z3 + 
    222192600*ln2*z2^2*z3 + 73909500*ln2^2*z3^2 + 301801500*z2*z3^2 + 
    33418000*ln2^3*z5 + 832230000*ln2*z2*z5 - 63406875*z3*z5 + 
    164141250*ln2*z7)/18816000, H[-1, 0, -1, 0, 1, 1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    74592000*ln2^2*s6 - 149184000*ln2*s7a - 149184000*ln2*s7b + 
    134183700*s8a + 53424000*s8b + 149184000*s8c - 149184000*s8d + 
    112896000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 326592000*s6*z2 - 
    83462400*li4half*z2^2 - 7005600*ln2^4*z2^2 - 8971200*ln2^2*z2^3 + 
    36761832*z2^4 + 227808000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    722400*ln2^5*z3 + 28392000*ln2^3*z2*z3 + 25943400*ln2*z2^2*z3 - 
    80892000*ln2^2*z3^2 - 177817500*z2*z3^2 - 162571500*ln2*z2*z5 + 
    49730625*z3*z5 - 977350500*ln2*z7)/28224000, 
 H[-1, 0, -1, 0, 1, 1, 0, 0, 1] -> (-1344000*ln2^2*s6 + 2688000*ln2*s7a + 
    2688000*ln2*s7b - 1513050*s8a - 1680000*s8b - 2688000*s8c + 2688000*s8d - 
    5376000*s6*z2 - 739200*li4half*z2^2 - 30800*ln2^4*z2^2 + 
    722400*ln2^2*z2^3 - 1261618*z2^4 - 3360000*li5half*z3 + 
    2016000*li4half*ln2*z3 + 112000*ln2^5*z3 - 784000*ln2^3*z2*z3 - 
    1801800*ln2*z2^2*z3 + 2562000*ln2^2*z3^2 + 2457000*z2*z3^2 + 
    651000*ln2*z2*z5 + 4074000*z3*z5 + 19270125*ln2*z7)/672000, 
 H[-1, 0, -1, 0, 1, 1, 0, -1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    42336000*ln2^2*s6 + 74592000*ln2*s7a + 74592000*ln2*s7b - 26447400*s8a - 
    74592000*s8b - 64512000*s8c + 64512000*s8d + 28224000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1960000*ln2^6*z2 - 
    121968000*s6*z2 - 80236800*li4half*z2^2 + 1948800*ln2^4*z2^2 + 
    34725600*ln2^2*z2^3 - 36763344*z2^4 - 143136000*li5half*z3 + 
    183456000*li4half*ln2*z3 + 8836800*ln2^5*z3 - 53676000*ln2^3*z2*z3 - 
    114483600*ln2*z2^2*z3 + 117747000*ln2^2*z3^2 + 34106625*z2*z3^2 - 
    48289500*ln2*z2*z5 + 235320750*z3*z5 + 670698000*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, 1, 1, -1, 1, 1] -> 
  (169344000*li4half^2 + 1016064000*li8half - 790272000*li7half*ln2 - 
    225792000*li6half*ln2^2 + 9408000*li4half*ln2^4 - 33600*ln2^8 - 
    63504000*ln2^2*s6 - 346752000*ln2*s7a + 104832000*ln2*s7b + 
    753930450*s8a + 3359664000*s8b + 665280000*s8c + 54432000*s8d + 
    225792000*li6half*z2 + 211680000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 3371200*ln2^6*z2 - 391104000*s6*z2 - 
    97776000*li4half*z2^2 - 43352400*ln2^4*z2^2 + 30290400*ln2^2*z2^3 + 
    17993952*z2^4 - 239400000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    3523800*ln2^5*z3 - 46998000*ln2^3*z2*z3 - 505386000*ln2*z2^2*z3 - 
    399876750*ln2^2*z3^2 - 714719250*z2*z3^2 - 437472000*ln2^3*z5 - 
    2574558000*ln2*z2*z5 + 565212375*z3*z5 + 972916875*ln2*z7)/28224000, 
 H[-1, 0, -1, 0, 1, 1, -1, 0, 1] -> 
  (-1612800*li4half^2 - 134400*li4half*ln2^4 - 2800*ln2^8 + 576000*ln2^2*s6 + 
    1843200*ln2*s7a + 1843200*ln2*s7b - 5117175*s8a - 20361600*s8b - 
    4838400*s8c - 806400*li6half*z2 + 806400*li5half*ln2*z2 + 
    403200*li4half*ln2^2*z2 + 8960*ln2^6*z2 + 2721600*s6*z2 + 
    947520*li4half*z2^2 + 123480*ln2^4*z2^2 - 133920*ln2^2*z2^3 - 
    883038*z2^4 - 403200*li5half*z3 + 3360*ln2^5*z3 - 151200*ln2^3*z2*z3 + 
    1639800*ln2*z2^2*z3 + 1837800*ln2^2*z3^2 + 4789575*z2*z3^2 + 
    8924400*ln2*z2*z5 - 3384675*z3*z5 + 12985425*ln2*z7)/403200, 
 H[-1, 0, -1, 0, 1, 1, -1, -1, 1] -> 
  (13547520*li4half^2 + 9031680*li8half + 63221760*li7half*ln2 + 
    13547520*li6half*ln2^2 + 1505280*li4half*ln2^4 + 45696*ln2^8 - 
    11854080*ln2^2*s6 + 20805120*ln2*s7a - 7418880*ln2*s7b - 15877575*s8a - 
    83039040*s8b - 12821760*s8c - 6370560*s8d + 9031680*li5half*ln2*z2 - 
    9031680*li4half*ln2^2*z2 - 570752*ln2^6*z2 + 22337280*s6*z2 - 
    12112128*li4half*z2^2 + 2938656*ln2^4*z2^2 + 5892768*ln2^2*z2^3 - 
    1058328*z2^4 + 8225280*li5half*z3 + 25966080*li4half*ln2*z3 + 
    1079232*ln2^5*z3 - 5688480*ln2^3*z2*z3 + 1704024*ln2*z2^2*z3 + 
    28215180*ln2^2*z3^2 + 13400100*z2*z3^2 + 27342000*ln2^3*z5 + 
    54754560*ln2*z2*z5 - 14620095*z3*z5 - 60164370*ln2*z7)/2257920, 
 H[-1, 0, -1, 0, 1, 0, 1, 1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    3360000*ln2^2*s6 + 49728000*ln2*s7a + 49728000*ln2*s7b - 63929775*s8a - 
    47208000*s8b - 106176000*s8c + 106176000*s8d + 56448000*li5half*ln2*z2 - 
    470400*ln2^6*z2 - 212352000*s6*z2 - 35212800*li4half*z2^2 - 
    3819200*ln2^4*z2^2 + 20160000*ln2^2*z2^3 - 43514124*z2^4 - 
    282912000*li5half*z3 + 28224000*li4half*ln2*z3 + 3533600*ln2^5*z3 - 
    5936000*ln2^3*z2*z3 - 27493200*ln2*z2^2*z3 + 51366000*ln2^2*z3^2 + 
    86688000*z2*z3^2 + 154003500*ln2*z2*z5 + 216326250*z3*z5 + 
    355293750*ln2*z7)/9408000, H[-1, 0, -1, 0, 1, 0, 1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    1344000*ln2^2*s6 - 5376000*ln2*s7a - 5376000*ln2*s7b + 4069800*s8a + 
    2688000*s8b + 8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 16128000*s6*z2 + 3662400*li4half*z2^2 - 
    351400*ln2^4*z2^2 - 2058000*ln2^2*z2^3 + 3402723*z2^4 + 
    18816000*li5half*z3 - 6720000*li4half*ln2*z3 - 436800*ln2^5*z3 + 
    3248000*ln2^3*z2*z3 + 4628400*ln2*z2^2*z3 - 6678000*ln2^2*z3^2 - 
    5806500*z2*z3^2 - 9366000*ln2*z2*z5 - 18165000*z3*z5 - 38834250*ln2*z7)/
   336000, H[-1, 0, -1, 0, 1, 0, 1, -1, 1] -> 
  (-32256000*li4half^2 - 2688000*li4half*ln2^4 - 56000*ln2^8 - 
    288000*ln2^2*s6 - 23904000*ln2*s7a - 23904000*ln2*s7b + 24418800*s8a + 
    16128000*s8b + 48384000*s8c - 48384000*s8d - 12096000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 - 235200*ln2^6*z2 + 96768000*s6*z2 + 
    12902400*li4half*z2^2 + 3561600*ln2^4*z2^2 - 5724000*ln2^2*z2^3 + 
    22147488*z2^4 + 104832000*li5half*z3 - 26208000*li4half*ln2*z3 - 
    1965600*ln2^5*z3 - 588000*ln2^3*z2*z3 + 25444800*ln2*z2^2*z3 - 
    33156000*ln2^2*z3^2 - 34083000*z2*z3^2 - 78903000*ln2*z2*z5 - 
    106265250*z3*z5 - 181704375*ln2*z7)/2016000, 
 H[-1, 0, -1, 0, 1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    18144000*ln2^2*s6 + 36288000*ln2*s7a + 36288000*ln2*s7b + 1170225*s8a + 
    31248000*s8b - 36288000*s8c + 36288000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 72576000*s6*z2 - 26611200*li4half*z2^2 + 
    2419200*ln2^4*z2^2 + 13910400*ln2^2*z2^3 - 16740684*z2^4 - 
    129024000*li5half*z3 + 42336000*li4half*ln2*z3 + 2839200*ln2^5*z3 - 
    21336000*ln2^3*z2*z3 - 45964800*ln2*z2^2*z3 + 41202000*ln2^2*z3^2 + 
    8694000*z2*z3^2 - 23971500*ln2*z2*z5 + 169942500*z3*z5 + 
    230792625*ln2*z7)/14112000, H[-1, 0, -1, 0, 1, 0, 0, 0, 1] -> 
  (-99225*s8a - 1176000*s8b + 235200*li4half*z2^2 + 9800*ln2^4*z2^2 - 
    58800*ln2^2*z2^3 - 151806*z2^4 + 470400*ln2*z2^2*z3 - 15750*z2*z3^2 + 
    315000*ln2*z2*z5 + 196875*z3*z5 + 653625*ln2*z7)/168000, 
 H[-1, 0, -1, 0, 1, 0, 0, -1, 1] -> (-12096000*ln2*s7a - 12096000*ln2*s7b + 
    14184450*s8a - 25536000*s8b + 24192000*s8c - 24192000*s8d + 
    48384000*s6*z2 - 2486400*li4half*z2^2 - 103600*ln2^4*z2^2 - 
    2100000*ln2^2*z2^3 + 6247422*z2^4 + 34272000*li5half*z3 - 
    14112000*li4half*ln2*z3 - 873600*ln2^5*z3 + 6384000*ln2^3*z2*z3 + 
    12112800*ln2*z2^2*z3 - 24696000*ln2^2*z3^2 - 14616000*z2*z3^2 - 
    19698000*ln2*z2*z5 - 17524500*z3*z5 - 76930875*ln2*z7)/4704000, 
 H[-1, 0, -1, 0, 1, 0, -1, 1, 1] -> (5376000*ln2^2*s6 + 30912000*ln2*s7a + 
    30912000*ln2*s7b - 32094300*s8a - 3360000*s8b - 72576000*s8c + 
    72576000*s8d - 28224000*li5half*ln2*z2 + 235200*ln2^6*z2 - 
    145152000*s6*z2 + 14515200*li4half*z2^2 - 1747200*ln2^4*z2^2 - 
    3158400*ln2^2*z2^3 - 37032048*z2^4 - 142800000*li5half*z3 + 
    1190000*ln2^5*z3 + 448000*ln2^3*z2*z3 - 21504000*ln2*z2^2*z3 + 
    42672000*ln2^2*z3^2 + 50022000*z2*z3^2 + 180138000*ln2*z2*z5 + 
    137851875*z3*z5 + 206143875*ln2*z7)/4704000, 
 H[-1, 0, -1, 0, 1, 0, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    4032000*ln2^2*s6 - 8064000*ln2*s7a - 8064000*ln2*s7b + 2195550*s8a + 
    8064000*s8c - 8064000*s8d + 4032000*li4half*ln2^2*z2 + 168000*ln2^6*z2 + 
    16128000*s6*z2 + 3931200*li4half*z2^2 - 340200*ln2^4*z2^2 - 
    2595600*ln2^2*z2^3 + 3834333*z2^4 + 22176000*li5half*z3 - 
    8064000*li4half*ln2*z3 - 520800*ln2^5*z3 + 3864000*ln2^3*z2*z3 + 
    8719200*ln2*z2^2*z3 - 8568000*ln2^2*z3^2 - 4788000*z2*z3^2 - 
    1512000*ln2*z2*z5 - 25861500*z3*z5 - 54274500*ln2*z7)/1008000, 
 H[-1, 0, -1, 0, 1, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    7728000*ln2^2*s6 - 18816000*ln2*s7a - 18816000*ln2*s7b + 11236575*s8a + 
    4032000*s8b + 22176000*s8c - 22176000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 44352000*s6*z2 + 18144000*li4half*z2^2 - 
    1008000*ln2^4*z2^2 - 8383200*ln2^2*z2^3 + 7509672*z2^4 + 
    42000000*li5half*z3 - 51744000*li4half*ln2*z3 - 2506000*ln2^5*z3 + 
    16436000*ln2^3*z2*z3 + 30151800*ln2*z2^2*z3 - 37443000*ln2^2*z3^2 - 
    13692000*z2*z3^2 - 6111000*ln2*z2*z5 - 47969250*z3*z5 - 151759125*ln2*z7)/
   4704000, H[-1, 0, -1, 0, 1, -1, 1, 1, 1] -> 
  (-45158400*li4half^2 - 270950400*li8half + 135475200*li7half*ln2 - 
    22579200*li6half*ln2^2 - 22579200*li5half*ln2^3 - 3763200*li4half*ln2^4 + 
    44800*ln2^8 + 31248000*ln2^2*s6 + 93542400*ln2*s7a - 41932800*ln2*s7b - 
    244958175*s8a - 1054065600*s8b - 243936000*s8c + 23788800*s8d + 
    22579200*li6half*z2 - 84672000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1097600*ln2^6*z2 + 59673600*s6*z2 + 
    41448960*li4half*z2^2 + 13675200*ln2^4*z2^2 - 31278240*ln2^2*z2^3 - 
    52137072*z2^4 - 74390400*li5half*z3 - 39513600*li4half*ln2*z3 - 
    1355760*ln2^5*z3 + 32373600*ln2^3*z2*z3 + 169966440*ln2*z2^2*z3 + 
    119920500*ln2^2*z3^2 + 235210500*z2*z3^2 + 147646800*ln2^3*z5 + 
    1002632400*ln2*z2*z5 - 22268925*z3*z5 - 223791750*ln2*z7)/11289600, 
 H[-1, 0, -1, 0, 1, -1, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    84672000*ln2^2*s6 - 92736000*ln2*s7a - 92736000*ln2*s7b + 348386850*s8a + 
    1503936000*s8b + 354816000*s8c - 16128000*s8d - 112896000*li6half*z2 - 
    141120000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 3371200*ln2^6*z2 - 
    200592000*s6*z2 + 68745600*li4half*z2^2 - 13599600*ln2^4*z2^2 - 
    4183200*ln2^2*z2^3 + 97744476*z2^4 + 229824000*li5half*z3 - 
    84672000*li4half*ln2*z3 - 5443200*ln2^5*z3 + 36204000*ln2^3*z2*z3 - 
    117747000*ln2*z2^2*z3 - 141120000*ln2^2*z3^2 - 300951000*z2*z3^2 - 
    709348500*ln2*z2*z5 - 84876750*z3*z5 - 770576625*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, 1, -1, 1, -1, 1] -> 
  (-32256000*li4half^2 + 258048000*li8half - 48384000*li7half*ln2 + 
    8064000*li5half*ln2^3 - 2688000*li4half*ln2^4 - 107200*ln2^8 - 
    14976000*ln2^2*s6 - 33408000*ln2*s7a + 25056000*ln2*s7b + 116373600*s8a + 
    677376000*s8b + 96768000*s8c + 32256000*s8d - 40320000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 + 291200*ln2^6*z2 - 129024000*s6*z2 + 
    29030400*li4half*z2^2 - 2688000*ln2^4*z2^2 - 5133600*ln2^2*z2^3 - 
    391104*z2^4 - 44352000*li5half*z3 - 26208000*li4half*ln2*z3 - 
    604800*ln2^5*z3 - 16968000*ln2^3*z2*z3 - 75042000*ln2*z2^2*z3 - 
    53604000*ln2^2*z3^2 - 95634000*z2*z3^2 - 62496000*ln2^3*z5 - 
    345888000*ln2*z2*z5 - 598500*z3*z5 + 92084625*ln2*z7)/4032000, 
 H[-1, 0, -1, 0, 1, -1, 0, 1, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 + 
    34272000*ln2^2*s6 - 72576000*ln2*s7a + 40320000*ln2*s7b - 55112400*s8a - 
    610848000*s8b + 20160000*s8c - 189504000*s8d - 225792000*li6half*z2 + 
    282240000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 - 313600*ln2^6*z2 + 
    379008000*s6*z2 - 179020800*li4half*z2^2 - 7459200*ln2^4*z2^2 + 
    74844000*ln2^2*z2^3 + 110507976*z2^4 + 216720000*li5half*z3 + 
    112896000*li4half*ln2*z3 + 2898000*ln2^5*z3 - 18396000*ln2^3*z2*z3 + 
    19996200*ln2*z2^2*z3 - 42840000*ln2^2*z3^2 + 20601000*z2*z3^2 - 
    109368000*ln2^3*z5 - 567220500*ln2*z2*z5 - 212569875*z3*z5 + 
    129795750*ln2*z7)/14112000, H[-1, 0, -1, 0, 1, -1, 0, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    2880000*ln2^2*s6 - 2880000*ln2*s7a - 2880000*ln2*s7b - 762300*s8a - 
    28224000*s8b + 8064000*li4half*ln2^2*z2 + 336000*ln2^6*z2 + 
    11088000*li4half*z2^2 - 546000*ln2^4*z2^2 + 288000*ln2^2*z2^3 - 
    5622918*z2^4 - 6048000*li5half*z3 - 16128000*li4half*ln2*z3 - 
    621600*ln2^5*z3 + 3528000*ln2^3*z2*z3 + 11701800*ln2*z2^2*z3 - 
    6246000*ln2^2*z3^2 + 1764000*z2*z3^2 + 13846500*ln2*z2*z5 + 
    17498250*z3*z5 - 2498625*ln2*z7)/2016000, 
 H[-1, 0, -1, 0, 1, -1, 0, -1, 1] -> 
  (-10080000*ln2^2*s6 - 4032000*ln2*s7a - 12096000*ln2*s7b + 25659900*s8a + 
    80640000*s8b + 28224000*s8c - 4032000*s8d - 8064000*li6half*z2 - 
    2016000*li5half*ln2*z2 + 5600*ln2^6*z2 - 8064000*s6*z2 - 
    806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 3729600*ln2^2*z2^3 + 
    5162184*z2^4 + 9072000*li5half*z3 - 75600*ln2^5*z3 + 462000*ln2^3*z2*z3 - 
    7648200*ln2*z2^2*z3 - 8568000*ln2^2*z3^2 - 23420250*z2*z3^2 + 
    7812000*ln2^3*z5 - 44824500*ln2*z2*z5 + 17655750*z3*z5 - 60708375*ln2*z7)/
   1008000, H[-1, 0, -1, 0, 1, -1, -1, 1, 1] -> 
  (451584000*li4half^2 - 903168000*li8half + 677376000*li7half*ln2 + 
    451584000*li6half*ln2^2 + 75264000*li5half*ln2^3 + 
    37632000*li4half*ln2^4 + 627200*ln2^8 + 67536000*ln2^2*s6 + 
    141120000*ln2*s7a - 14112000*ln2*s7b - 91726425*s8a - 1080072000*s8b - 
    191520000*s8c + 50400000*s8d - 451584000*li6half*z2 + 
    366912000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    1332800*ln2^6*z2 - 143136000*s6*z2 - 272160000*li4half*z2^2 - 
    27804000*ln2^4*z2^2 + 220953600*ln2^2*z2^3 + 50314752*z2^4 - 
    390096000*li5half*z3 + 225792000*li4half*ln2*z3 + 14305200*ln2^5*z3 - 
    78960000*ln2^3*z2*z3 - 117999000*ln2*z2^2*z3 + 270585000*ln2^2*z3^2 + 
    90720000*z2*z3^2 + 127596000*ln2^3*z5 + 245574000*ln2*z2*z5 + 
    1119250125*z3*z5 - 602240625*ln2*z7)/56448000, 
 H[-1, 0, -1, 0, 1, -1, -1, 0, 1] -> 
  (-338688000*li4half^2 - 28224000*li4half*ln2^4 - 588000*ln2^8 + 
    193536000*ln2^2*s6 - 120960000*ln2*s7a - 120960000*ln2*s7b - 
    277713450*s8a - 1399104000*s8b - 145152000*s8c - 193536000*s8d + 
    225792000*li6half*z2 + 169344000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 5958400*ln2^6*z2 + 634032000*s6*z2 + 
    194140800*li4half*z2^2 - 3670800*ln2^4*z2^2 - 95760000*ln2^2*z2^3 - 
    32610012*z2^4 + 330624000*li5half*z3 - 338688000*li4half*ln2*z3 - 
    16867200*ln2^5*z3 + 120456000*ln2^3*z2*z3 + 368751600*ln2*z2^2*z3 - 
    136962000*ln2^2*z3^2 + 208089000*z2*z3^2 + 734769000*ln2*z2*z5 - 
    704584125*z3*z5 - 767710125*ln2*z7)/28224000, 
 H[-1, 0, -1, 0, 1, -1, -1, -1, 1] -> 
  (-1451520*li4half^2 - 7741440*li8half - 3870720*li7half*ln2 - 
    1935360*li6half*ln2^2 - 430080*li5half*ln2^3 - 120960*li4half*ln2^4 - 
    1048*ln2^8 - 846720*ln2^2*s6 - 1451520*ln2*s7a - 1693440*ln2*s7b + 
    1472940*s8a - 2943360*s8b + 2580480*s8c - 1935360*s8d + 
    967680*li5half*ln2*z2 + 725760*li4half*ln2^2*z2 + 15904*ln2^6*z2 + 
    3548160*s6*z2 + 774144*li4half*z2^2 + 113568*ln2^4*z2^2 + 
    241056*ln2^2*z2^3 + 953136*z2^4 + 3386880*li5half*z3 - 
    2661120*li4half*ln2*z3 - 148512*ln2^5*z3 + 1021440*ln2^3*z2*z3 + 
    1464624*ln2*z2^2*z3 - 2222640*ln2^2*z3^2 - 1849680*z2*z3^2 + 
    364560*ln2^3*z5 - 2706480*ln2*z2*z5 + 1106280*z3*z5 - 6997725*ln2*z7)/
   322560, H[-1, 0, -1, 0, 0, 1, 1, 1, 1] -> 
  (-70560000*li4half^2 - 5880000*li4half*ln2^4 - 122500*ln2^8 - 
    21672000*ln2^2*s6 + 1008000*ln2*s7a - 34272000*ln2*s7b + 64453725*s8a + 
    200592000*s8b + 76608000*s8c - 41328000*s8d - 42336000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 + 58800*ln2^6*z2 + 47376000*s6*z2 + 
    53121600*li4half*z2^2 + 4859400*ln2^4*z2^2 - 14137200*ln2^2*z2^3 + 
    20252916*z2^4 + 107352000*li5half*z3 - 24696000*li4half*ln2*z3 - 
    1923600*ln2^5*z3 - 3402000*ln2^3*z2*z3 - 2835000*ln2*z2^2*z3 - 
    16128000*ln2^2*z3^2 - 47754000*z2*z3^2 + 22785000*ln2^3*z5 - 
    79978500*ln2*z2*z5 - 138812625*z3*z5 - 218365875*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, 0, 1, 1, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 + 
    8064000*ln2*s7a + 8064000*ln2*s7b - 9753975*s8a - 16128000*s8b - 
    16128000*s8c + 16128000*s8d - 8064000*li4half*ln2^2*z2 - 
    336000*ln2^6*z2 - 29736000*s6*z2 - 11491200*li4half*z2^2 + 
    529200*ln2^4*z2^2 + 4687200*ln2^2*z2^3 - 6967176*z2^4 - 
    32256000*li5half*z3 + 14112000*li4half*ln2*z3 + 856800*ln2^5*z3 - 
    6216000*ln2^3*z2*z3 - 6816600*ln2*z2^2*z3 + 12348000*ln2^2*z3^2 + 
    8426250*z2*z3^2 + 21262500*ln2*z2*z5 + 46958625*z3*z5 + 71701875*ln2*z7)/
   2016000, H[-1, 0, -1, 0, 0, 1, 1, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    84336000*ln2^2*s6 - 6048000*ln2*s7a + 73920000*ln2*s7b - 161238525*s8a - 
    715680000*s8b - 156576000*s8c - 8064000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 98448000*s6*z2 - 44889600*li4half*z2^2 - 
    12454400*ln2^4*z2^2 - 22587600*ln2^2*z2^3 - 32253744*z2^4 + 
    16128000*li5half*z3 + 63504000*li4half*ln2*z3 + 2511600*ln2^5*z3 + 
    18984000*ln2^3*z2*z3 + 55734000*ln2*z2^2*z3 + 14458500*ln2^2*z3^2 + 
    141613500*z2*z3^2 - 69874000*ln2^3*z5 + 238329000*ln2*z2*z5 - 
    62246625*z3*z5 + 589013250*ln2*z7)/9408000, 
 H[-1, 0, -1, 0, 0, 1, 0, 1, 1] -> (-6720000*ln2^2*s6 + 13440000*ln2*s7a + 
    13440000*ln2*s7b - 11897025*s8a - 13776000*s8b - 13440000*s8c + 
    13440000*s8d - 15120000*s6*z2 + 8332800*li4half*z2^2 + 
    347200*ln2^4*z2^2 + 604800*ln2^2*z2^3 - 5689384*z2^4 - 
    26880000*li5half*z3 + 224000*ln2^5*z3 - 2240000*ln2^3*z2*z3 - 
    4431000*ln2*z2^2*z3 + 8400000*ln2^2*z3^2 + 10153500*z2*z3^2 + 
    3853500*ln2*z2*z5 + 11563125*z3*z5 + 86336250*ln2*z7)/4704000, 
 H[-1, 0, -1, 0, 0, 1, 0, 0, 1] -> 
  (-4275*s8a + 168000*s8b + 76800*li4half*z2^2 + 3200*ln2^4*z2^2 - 
    19200*ln2^2*z2^3 + 4116*z2^4 + 11400*ln2*z2^2*z3 - 1500*z2*z3^2 - 
    45000*ln2*z2*z5 - 152250*z3*z5 - 48000*ln2*z7)/16000, 
 H[-1, 0, -1, 0, 0, 1, 0, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    5644800*ln2^2*s6 - 4032000*ln2*s7a - 4032000*ln2*s7b - 1445850*s8a + 
    20966400*s8b - 3225600*s8c + 3225600*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 - 4687200*s6*z2 + 10664640*li4half*z2^2 - 
    261240*ln2^4*z2^2 - 3291120*ln2^2*z2^3 + 386283*z2^4 - 
    6451200*li5half*z3 - 19756800*li4half*ln2*z3 - 769440*ln2^5*z3 + 
    4401600*ln2^3*z2*z3 + 7990920*ln2*z2^2*z3 - 4586400*ln2^2*z3^2 + 
    1371825*z2*z3^2 + 15148350*ln2*z2*z5 - 9385425*z3*z5 - 55304550*ln2*z7)/
   1411200, H[-1, 0, -1, 0, 0, 1, -1, 1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    17606400*ln2^2*s6 + 3763200*ln2*s7a + 11202975*s8a + 39244800*s8b + 
    13574400*s8c + 537600*s8d - 5644800*li4half*ln2^2*z2 - 235200*ln2^6*z2 - 
    1075200*s6*z2 + 6693120*li4half*z2^2 + 2395680*ln2^4*z2^2 + 
    6044640*ln2^2*z2^3 + 1341156*z2^4 - 1075200*li5half*z3 + 8960*ln2^5*z3 - 
    3617600*ln2^3*z2*z3 - 9536520*ln2*z2^2*z3 + 2457000*ln2^2*z3^2 - 
    12356400*z2*z3^2 + 3645600*ln2^3*z5 - 39723600*ln2*z2*z5 + 
    12457725*z3*z5 + 3101700*ln2*z7)/1881600, 
 H[-1, 0, -1, 0, 0, 1, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    20160000*ln2^2*s6 + 20160000*ln2*s7a + 20160000*ln2*s7b - 34779150*s8a + 
    178416000*s8b - 80640000*s8c + 80640000*s8d - 56448000*li4half*ln2^2*z2 - 
    2352000*ln2^6*z2 - 221256000*s6*z2 - 30441600*li4half*z2^2 + 
    5787600*ln2^4*z2^2 - 9525600*ln2^2*z2^3 - 20068194*z2^4 - 
    161280000*li5half*z3 + 1344000*ln2^5*z3 - 13440000*ln2^3*z2*z3 + 
    3591000*ln2*z2^2*z3 + 36540000*ln2^2*z3^2 + 68528250*z2*z3^2 + 
    152050500*ln2*z2*z5 + 32004000*z3*z5 + 136560375*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, 0, 1, -1, -1, 1] -> 
  (-197568000*li4half^2 - 16464000*li4half*ln2^4 - 343000*ln2^8 + 
    144144000*ln2^2*s6 - 12096000*ln2*s7a - 124992000*ln2*s7b + 
    15020775*s8a + 831096000*s8b - 94752000*s8c + 221760000*s8d + 
    183456000*li4half*ln2^2*z2 + 7644000*ln2^6*z2 - 507024000*s6*z2 + 
    210873600*li4half*z2^2 - 24729600*ln2^4*z2^2 - 80967600*ln2^2*z2^3 - 
    58556196*z2^4 - 443520000*li5half*z3 - 451584000*li4half*ln2*z3 - 
    15120000*ln2^5*z3 + 102396000*ln2^3*z2*z3 + 93391200*ln2*z2^2*z3 - 
    36634500*ln2^2*z3^2 + 34681500*z2*z3^2 + 109368000*ln2^3*z5 + 
    553518000*ln2*z2*z5 + 251346375*z3*z5 - 1011906000*ln2*z7)/28224000, 
 H[-1, 0, -1, 0, 0, 0, 1, 1, 1] -> (38400*ln2^2*s6 - 76800*ln2*s7a - 
    45525*s8a - 336000*s8b - 76800*s8d + 230400*s6*z2 - 7680*li4half*z2^2 - 
    320*ln2^4*z2^2 - 13440*ln2^2*z2^3 + 14496*z2^4 + 153600*li5half*z3 - 
    1280*ln2^5*z3 + 12800*ln2^3*z2*z3 + 60000*ln2*z2^2*z3 - 
    48000*ln2^2*z3^2 - 24000*z2*z3^2 - 49600*ln2^3*z5 - 50100*ln2*z2*z5 - 
    68400*z3*z5 - 51375*ln2*z7)/19200, H[-1, 0, -1, 0, 0, 0, 1, 0, 1] -> 
  (434700*s8a - 336000*s6*z2 - 806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 
    201600*ln2^2*z2^3 + 123322*z2^4 - 403200*ln2*z2^2*z3 + 189000*z2*z3^2 + 
    966000*ln2*z2*z5 + 283500*z3*z5 - 1661625*ln2*z7)/168000, 
 H[-1, 0, -1, 0, 0, 0, 1, -1, 1] -> (-44352000*ln2^2*s6 + 18816000*ln2*s7a + 
    66966900*s8a + 286608000*s8b + 51072000*s8c + 24192000*s8d - 
    86016000*s6*z2 - 4099200*li4half*z2^2 - 170800*ln2^4*z2^2 + 
    21184800*ln2^2*z2^3 + 3205014*z2^4 - 48384000*li5half*z3 + 
    32928000*li4half*ln2*z3 + 1775200*ln2^5*z3 - 12264000*ln2^3*z2*z3 - 
    65759400*ln2*z2^2*z3 + 16338000*ln2^2*z3^2 - 51975000*z2*z3^2 + 
    12152000*ln2^3*z5 - 114334500*ln2*z2*z5 + 105798000*z3*z5 - 
    52754625*ln2*z7)/4704000, H[-1, 0, -1, 0, 0, 0, 0, 1, 1] -> 
  (-27675*s8a + 168000*s8b - 192000*s6*z2 + 76800*li4half*z2^2 + 
    3200*ln2^4*z2^2 - 19200*ln2^2*z2^3 - 16628*z2^4 + 38400*ln2*z2^2*z3 + 
    108000*z2*z3^2 + 124500*ln2*z2*z5 - 315000*z3*z5 + 186750*ln2*z7)/48000, 
 H[-1, 0, -1, 0, 0, 0, 0, 0, 1] -> (-12600*s8a - 168000*s8b - 34511*z2^4 + 
    178500*z3*z5 + 168000*ln2*z7)/28000, H[-1, 0, -1, 0, 0, 0, 0, -1, 1] -> 
  (-288225*s8a - 3528000*s8b - 672000*s6*z2 + 470400*li4half*z2^2 + 
    19600*ln2^4*z2^2 - 117600*ln2^2*z2^3 - 834466*z2^4 + 235200*ln2*z2^2*z3 + 
    378000*z2*z3^2 + 672000*ln2*z2*z5 + 1853250*z3*z5 + 8694000*ln2*z7)/
   336000, H[-1, 0, -1, 0, 0, 0, -1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    30240000*ln2^2*s6 + 36288000*ln2*s7a - 76608000*ln2*s7b - 9902025*s8a + 
    116928000*s8b - 20160000*s8c + 20160000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 96768000*s6*z2 - 7257600*li4half*z2^2 + 
    3225600*ln2^4*z2^2 - 30240000*ln2^2*z2^3 - 3974724*z2^4 - 
    40320000*li5half*z3 + 336000*ln2^5*z3 - 3360000*ln2^3*z2*z3 + 
    43003800*ln2*z2^2*z3 + 36288000*ln2^2*z3^2 + 27468000*z2*z3^2 + 
    109368000*ln2^3*z5 + 262804500*ln2*z2*z5 - 42603750*z3*z5 - 
    347799375*ln2*z7)/14112000, H[-1, 0, -1, 0, 0, 0, -1, 0, 1] -> 
  (198975*s8a - 1008000*s8b + 336000*s6*z2 - 705600*li4half*z2^2 - 
    29400*ln2^4*z2^2 + 176400*ln2^2*z2^3 + 48821*z2^4 - 352800*ln2*z2^2*z3 - 
    189000*z2*z3^2 + 336000*ln2*z2*z5 + 1449000*z3*z5 - 672000*ln2*z7)/
   168000, H[-1, 0, -1, 0, 0, 0, -1, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    9676800*ln2^2*s6 - 7257600*ln2*s7a + 15321600*ln2*s7b - 24615675*s8a - 
    157651200*s8b - 16128000*s8c - 17740800*s8d - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 + 52416000*s6*z2 - 12015360*li4half*z2^2 + 
    204960*ln2^4*z2^2 - 685440*ln2^2*z2^3 - 830232*z2^4 + 
    35481600*li5half*z3 + 19756800*li4half*ln2*z3 + 527520*ln2^5*z3 - 
    1982400*ln2^3*z2*z3 + 10614240*ln2*z2^2*z3 - 2217600*ln2^2*z3^2 + 
    18446400*z2*z3^2 - 21873600*ln2^3*z5 + 9727200*ln2*z2*z5 - 
    35913150*z3*z5 + 114365475*ln2*z7)/2822400, 
 H[-1, 0, -1, 0, 0, -1, 1, 1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 + 
    63000000*ln2^2*s6 - 64512000*ln2*s7a + 20160000*ln2*s7b - 55262025*s8a - 
    206640000*s8b - 32256000*s8c - 38304000*s8d + 84672000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 117600*ln2^6*z2 + 129528000*s6*z2 - 
    73987200*li4half*z2^2 - 8374800*ln2^4*z2^2 - 3943800*ln2^2*z2^3 + 
    20688786*z2^4 + 27216000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    949200*ln2^5*z3 + 8442000*ln2^3*z2*z3 + 30901500*ln2*z2^2*z3 - 
    37847250*ln2^2*z3^2 + 5780250*z2*z3^2 - 59241000*ln2^3*z5 - 
    122535000*ln2*z2*z5 - 38343375*z3*z5 + 42131250*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, 0, -1, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    20160000*ln2^2*s6 - 20160000*ln2*s7a - 20160000*ln2*s7b + 66001950*s8a - 
    192528000*s8b + 80640000*s8c - 80640000*s8d + 56448000*li4half*ln2^2*z2 + 
    2352000*ln2^6*z2 + 168336000*s6*z2 + 2217600*li4half*z2^2 - 
    6963600*ln2^4*z2^2 + 16581600*ln2^2*z2^3 + 10155102*z2^4 + 
    161280000*li5half*z3 - 1344000*ln2^5*z3 + 13440000*ln2^3*z2*z3 - 
    12411000*ln2*z2^2*z3 - 36540000*ln2^2*z3^2 - 49896000*z2*z3^2 - 
    76639500*ln2*z2*z5 - 2898000*z3*z5 - 114730875*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, 0, -1, 1, -1, 1] -> 
  (-36288000*ln2^2*s6 + 16800000*ln2*s7a - 11424000*ln2*s7b + 43550325*s8a + 
    160608000*s8b + 38976000*s8c + 8064000*s8d - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 39648000*s6*z2 - 1680000*li4half*z2^2 + 
    3458000*ln2^4*z2^2 + 13398000*ln2^2*z2^3 + 1894002*z2^4 - 
    16128000*li5half*z3 + 24696000*li4half*ln2*z3 + 1163400*ln2^5*z3 - 
    11928000*ln2^3*z2*z3 - 35584500*ln2*z2^2*z3 + 15519000*ln2^2*z3^2 - 
    37023000*z2*z3^2 + 23544500*ln2^3*z5 - 62459250*ln2*z2*z5 + 
    63551250*z3*z5 - 52392375*ln2*z7)/2352000, 
 H[-1, 0, -1, 0, 0, -1, 0, 1, 1] -> 
  (-96000*ln2^2*s6 + 192000*ln2*s7a + 192000*ln2*s7b - 119850*s8a + 
    48000*s8b - 192000*s8c + 192000*s8d - 624000*s6*z2 + 52800*li4half*z2^2 + 
    2200*ln2^4*z2^2 + 25200*ln2^2*z2^3 - 101551*z2^4 - 384000*li5half*z3 + 
    3200*ln2^5*z3 - 32000*ln2^3*z2*z3 - 82200*ln2*z2^2*z3 + 
    120000*ln2^2*z3^2 + 325500*z2*z3^2 + 492750*ln2*z2*z5 - 90750*z3*z5 + 
    1218000*ln2*z7)/48000, H[-1, 0, -1, 0, 0, -1, 0, 0, 1] -> 
  (-178325*s8a + 504000*s8b + 470400*li4half*z2^2 + 19600*ln2^4*z2^2 - 
    117600*ln2^2*z2^3 - 65382*z2^4 + 235200*ln2*z2^2*z3 - 112000*z2*z3^2 - 
    336000*ln2*z2*z5 - 248500*z3*z5 + 336000*ln2*z7)/112000, 
 H[-1, 0, -1, 0, 0, -1, 0, -1, 1] -> 
  (-322560*li4half^2 - 26880*li4half*ln2^4 - 560*ln2^8 + 161280*ln2^2*s6 - 
    161280*ln2*s7a - 161280*ln2*s7b + 161280*li4half*ln2^2*z2 + 
    6720*ln2^6*z2 - 100800*s6*z2 + 262080*li4half*z2^2 - 9240*ln2^4*z2^2 - 
    93744*ln2^2*z2^3 - 73455*z2^4 - 564480*li4half*ln2*z3 - 23520*ln2^5*z3 + 
    141120*ln2^3*z2*z3 + 258048*ln2*z2^2*z3 - 201600*ln2^2*z3^2 + 
    40950*z2*z3^2 + 499590*ln2*z2*z5 - 12915*z3*z5 - 663075*ln2*z7)/40320, 
 H[-1, 0, -1, 0, 0, -1, -1, 1, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 + 
    124992000*ln2^2*s6 + 42336000*ln2*s7a + 28224000*ln2*s7b - 
    171841950*s8a - 244944000*s8b - 151200000*s8c + 38304000*s8d + 
    84672000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 - 
    111888000*s6*z2 - 113702400*li4half*z2^2 - 25905600*ln2^4*z2^2 - 
    29811600*ln2^2*z2^3 + 15665868*z2^4 - 126000000*li5half*z3 + 
    56448000*li4half*ln2*z3 + 3402000*ln2^5*z3 + 38892000*ln2^3*z2*z3 + 
    62218800*ln2*z2^2*z3 - 9607500*ln2^2*z3^2 + 209758500*z2*z3^2 - 
    18228000*ln2^3*z5 + 282712500*ln2*z2*z5 - 314015625*z3*z5 + 
    158484375*ln2*z7)/28224000, H[-1, 0, -1, 0, 0, -1, -1, 0, 1] -> 
  (122025*s8a - 312000*s8b + 240000*s6*z2 - 48000*li4half*z2^2 - 
    2000*ln2^4*z2^2 + 12000*ln2^2*z2^3 - 72686*z2^4 - 36000*ln2*z2^2*z3 - 
    277500*z2*z3^2 - 349500*ln2*z2*z5 + 996000*z3*z5 + 402000*ln2*z7)/96000, 
 H[-1, 0, -1, 0, 0, -1, -1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    122976000*ln2^2*s6 - 143136000*ln2*s7a + 40320000*ln2*s7b - 
    171016650*s8a - 1020600000*s8b - 100800000*s8c - 124992000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 362880000*s6*z2 + 
    20160000*li4half*z2^2 - 2688000*ln2^4*z2^2 - 40622400*ln2^2*z2^3 - 
    13587984*z2^4 + 249984000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    6199200*ln2^5*z3 + 45528000*ln2^3*z2*z3 + 172594800*ln2*z2^2*z3 - 
    104328000*ln2^2*z3^2 + 124551000*z2*z3^2 - 145824000*ln2^3*z5 + 
    142947000*ln2*z2*z5 - 294162750*z3*z5 + 441086625*ln2*z7)/28224000, 
 H[-1, 0, -1, 0, -1, 1, 1, 1, 1] -> 
  (1612800*li4half^2 - 3225600*li7half*ln2 - 806400*li6half*ln2^2 - 
    268800*li5half*ln2^3 - 1040*ln2^8 - 1785600*ln2^2*s6 - 432000*ln2*s7a + 
    1382400*ln2*s7b + 2879100*s8a + 8870400*s8b + 4032000*s8c - 2419200*s8d + 
    806400*li6half*z2 + 4032000*li5half*ln2*z2 + 604800*li4half*ln2^2*z2 + 
    7280*ln2^6*z2 + 4233600*s6*z2 - 786240*li4half*z2^2 - 79800*ln2^4*z2^2 + 
    887760*ln2^2*z2^3 + 1737072*z2^4 + 1512000*li5half*z3 + 
    604800*li4half*ln2*z3 + 12600*ln2^5*z3 - 793800*ln2^3*z2*z3 - 
    3275280*ln2*z2^2*z3 - 1395225*ln2^2*z3^2 - 2609775*z2*z3^2 - 
    1822800*ln2^3*z5 - 20075400*ln2*z2*z5 - 3592575*z3*z5 + 8952750*ln2*z7)/
   403200, H[-1, 0, -1, 0, -1, 1, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    50400000*ln2^2*s6 + 84672000*ln2*s7a + 84672000*ln2*s7b - 229812975*s8a - 
    833616000*s8b - 270144000*s8c + 100800000*s8d - 
    84672000*li4half*ln2^2*z2 - 3528000*ln2^6*z2 - 99288000*s6*z2 - 
    96264000*li4half*z2^2 + 10101000*ln2^4*z2^2 + 19454400*ln2^2*z2^3 - 
    79420506*z2^4 - 159264000*li5half*z3 + 155232000*li4half*ln2*z3 + 
    7795200*ln2^5*z3 - 52080000*ln2^3*z2*z3 + 53650800*ln2*z2^2*z3 + 
    143829000*ln2^2*z3^2 + 199190250*z2*z3^2 + 548698500*ln2*z2*z5 + 
    202348125*z3*z5 + 727153875*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, -1, 1, 1, -1, 1] -> 
  (112896000*li4half^2 + 564480000*li8half + 112896000*li7half*ln2 + 
    9408000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 305200*ln2^8 - 
    75600000*ln2^2*s6 + 70560000*ln2*s7a + 42336000*ln2*s7b + 96375825*s8a + 
    798840000*s8b + 10080000*s8c + 173376000*s8d - 28224000*li5half*ln2*z2 - 
    78400*ln2^6*z2 - 438480000*s6*z2 - 58464000*li4half*z2^2 - 
    11844000*ln2^4*z2^2 + 19000800*ln2^2*z2^3 - 92524608*z2^4 - 
    332640000*li5half*z3 + 190512000*li4half*ln2*z3 + 10710000*ln2^5*z3 - 
    17136000*ln2^3*z2*z3 - 190990800*ln2*z2^2*z3 + 86782500*ln2^2*z3^2 - 
    52321500*z2*z3^2 + 29620500*ln2^3*z5 - 125275500*ln2*z2*z5 + 
    373440375*z3*z5 + 528042375*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, -1, 1, 0, 1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    4032000*ln2^2*s6 + 8064000*ln2*s7a - 48384000*ln2*s7b + 42583275*s8a + 
    312480000*s8b + 4032000*s8c + 80640000*s8d - 225792000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 + 117600*ln2^6*z2 - 189504000*s6*z2 + 
    113500800*li4half*z2^2 + 5317200*ln2^4*z2^2 - 48711600*ln2^2*z2^3 - 
    40461336*z2^4 - 27216000*li5half*z3 - 70560000*li4half*ln2*z3 - 
    2713200*ln2^5*z3 + 15372000*ln2^3*z2*z3 + 28942200*ln2*z2^2*z3 + 
    2677500*ln2^2*z3^2 - 30145500*z2*z3^2 + 54684000*ln2^3*z5 + 
    349539750*ln2*z2*z5 + 95783625*z3*z5 - 255520125*ln2*z7)/7056000, 
 H[-1, 0, -1, 0, -1, 1, 0, 0, 1] -> 
  (16128000*li4half^2 + 1344000*li4half*ln2^4 + 28000*ln2^8 - 
    2880000*ln2^2*s6 + 2880000*ln2*s7a + 2880000*ln2*s7b - 226800*s8a + 
    26208000*s8b - 8064000*li4half*ln2^2*z2 - 336000*ln2^6*z2 - 
    3427200*li4half*z2^2 + 865200*ln2^4*z2^2 - 2203200*ln2^2*z2^3 + 
    4012122*z2^4 - 12096000*li5half*z3 + 4032000*li4half*ln2*z3 + 
    268800*ln2^5*z3 - 2016000*ln2^3*z2*z3 - 7443000*ln2*z2^2*z3 + 
    3600000*ln2^2*z3^2 + 1008000*z2*z3^2 - 12838500*ln2*z2*z5 - 
    12789000*z3*z5 + 5396625*ln2*z7)/2016000, 
 H[-1, 0, -1, 0, -1, 1, 0, -1, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    18144000*ln2^2*s6 - 8064000*ln2*s7a - 21621600*s8a - 76608000*s8b - 
    20160000*s8c - 4032000*s8d - 4032000*li5half*ln2*z2 + 
    6048000*li4half*ln2^2*z2 + 285600*ln2^6*z2 + 22176000*s6*z2 + 
    12499200*li4half*z2^2 - 319200*ln2^4*z2^2 - 8971200*ln2^2*z2^3 - 
    1810296*z2^4 + 10080000*li5half*z3 - 26208000*li4half*ln2*z3 - 
    1176000*ln2^5*z3 + 7392000*ln2^3*z2*z3 + 24330600*ln2*z2^2*z3 - 
    7245000*ln2^2*z3^2 + 18411750*z2*z3^2 - 7812000*ln2^3*z5 + 
    58920750*ln2*z2*z5 - 38406375*z3*z5 - 28578375*ln2*z7)/1008000, 
 H[-1, 0, -1, 0, -1, 1, -1, 1, 1] -> 
  (-112896000*li4half^2 - 564480000*li8half + 451584000*li7half*ln2 + 
    112896000*li6half*ln2^2 - 4704000*li4half*ln2^4 + 53200*ln2^8 + 
    45360000*ln2^2*s6 + 100800000*ln2*s7a - 153216000*ln2*s7b - 
    328518225*s8a - 1927800000*s8b - 235872000*s8c - 173376000*s8d - 
    112896000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2822400*ln2^6*z2 + 523152000*s6*z2 + 
    38707200*li4half*z2^2 + 31718400*ln2^4*z2^2 - 22680000*ln2^2*z2^3 + 
    34249104*z2^4 + 417312000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    4653600*ln2^5*z3 + 33012000*ln2^3*z2*z3 + 335853000*ln2*z2^2*z3 + 
    145498500*ln2^2*z3^2 + 265765500*z2*z3^2 + 246078000*ln2^3*z5 + 
    1280286000*ln2*z2*z5 - 419635125*z3*z5 - 1173753000*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, -1, 1, -1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    84672000*ln2^2*s6 + 20160000*ln2*s7a + 20160000*ln2*s7b + 228302550*s8a + 
    1447488000*s8b + 129024000*s8c + 209664000*s8d - 
    56448000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 705600*ln2^6*z2 - 
    623952000*s6*z2 - 24393600*li4half*z2^2 - 5720400*ln2^4*z2^2 + 
    44503200*ln2^2*z2^3 - 12959292*z2^4 - 391104000*li5half*z3 + 
    3259200*ln2^5*z3 - 32592000*ln2^3*z2*z3 - 214237800*ln2*z2^2*z3 + 
    7056000*ln2^2*z3^2 - 151452000*z2*z3^2 - 412776000*ln2*z2*z5 + 
    486438750*z3*z5 + 94224375*ln2*z7)/14112000, 
 H[-1, 0, -1, 0, -1, 1, -1, -1, 1] -> 
  (-42336000*li4half^2 - 129024000*li7half*ln2 - 24192000*li6half*ln2^2 - 
    4872000*li4half*ln2^4 - 137500*ln2^8 + 35064000*ln2^2*s6 - 
    36576000*ln2*s7a + 21888000*ln2*s7b + 23237550*s8a + 237384000*s8b + 
    48384000*s8d - 20160000*li5half*ln2*z2 + 29232000*li4half*ln2^2*z2 + 
    1688400*ln2^6*z2 - 120960000*s6*z2 + 43545600*li4half*z2^2 - 
    7954800*ln2^4*z2^2 - 16768800*ln2^2*z2^3 - 12343752*z2^4 - 
    86688000*li5half*z3 - 81648000*li4half*ln2*z3 - 2679600*ln2^5*z3 + 
    14700000*ln2^3*z2*z3 - 8875800*ln2*z2^2*z3 - 45814500*ln2^2*z3^2 - 
    10773000*z2*z3^2 - 56637000*ln2^3*z5 - 61555500*ln2*z2*z5 + 
    75820500*z3*z5 + 168159375*ln2*z7)/4032000, 
 H[-1, 0, -1, 0, -1, 0, 1, 1, 1] -> (460800*li4half^2 + 38400*li4half*ln2^4 + 
    800*ln2^8 + 288000*ln2^2*s6 - 115200*ln2*s7a + 115200*ln2*s7b - 
    411300*s8a - 1267200*s8b - 576000*s8c + 345600*s8d + 
    345600*li5half*ln2*z2 + 115200*li4half*ln2^2*z2 + 1920*ln2^6*z2 - 
    460800*s6*z2 - 218880*li4half*z2^2 - 37920*ln2^4*z2^2 + 
    43200*ln2^2*z2^3 - 223056*z2^4 - 432000*li5half*z3 + 
    230400*li4half*ln2*z3 + 13200*ln2^5*z3 + 57600*ln2^3*z2*z3 + 
    252000*ln2*z2^2*z3 + 81000*ln2^2*z3^2 + 272700*z2*z3^2 - 
    148800*ln2^3*z5 + 1007100*ln2*z2*z5 + 833175*z3*z5 + 765225*ln2*z7)/
   57600, H[-1, 0, -1, 0, -1, 0, 1, 0, 1] -> 
  (-230400*li4half^2 - 19200*li4half*ln2^4 - 400*ln2^8 - 115200*ln2^2*s6 - 
    230400*ln2*s7a - 230400*ln2*s7b + 390150*s8a + 230400*s8b + 691200*s8c - 
    691200*s8d + 115200*li4half*ln2^2*z2 + 4800*ln2^6*z2 + 1324800*s6*z2 + 
    20160*li4half*z2^2 - 13560*ln2^4*z2^2 - 62640*ln2^2*z2^3 + 331623*z2^4 + 
    921600*li5half*z3 - 230400*li4half*ln2*z3 - 17280*ln2^5*z3 + 
    134400*ln2^3*z2*z3 - 25920*ln2*z2^2*z3 - 385200*ln2^2*z3^2 - 
    401400*z2*z3^2 - 1314000*ln2*z2*z5 - 1091250*z3*z5 - 1950750*ln2*z7)/
   28800, H[-1, 0, -1, 0, -1, 0, 1, -1, 1] -> 
  (-7680000*ln2^2*s6 - 384000*ln2*s7a - 3072000*ln2*s7b + 13767600*s8a + 
    48384000*s8b + 16128000*s8c - 5376000*s8d + 8064000*li5half*ln2*z2 - 
    67200*ln2^6*z2 + 5376000*s6*z2 - 1075200*li4half*z2^2 + 
    627200*ln2^4*z2^2 + 4255200*ln2^2*z2^3 + 5729376*z2^4 + 
    5376000*li5half*z3 - 44800*ln2^5*z3 - 3080000*ln2^3*z2*z3 - 
    7361400*ln2*z2^2*z3 - 2748000*ln2^2*z3^2 - 13209000*z2*z3^2 + 
    1736000*ln2^3*z5 - 45439500*ln2*z2*z5 - 2703750*z3*z5 - 36699375*ln2*z7)/
   672000, H[-1, 0, -1, 0, -1, 0, 0, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 + 20160000*ln2*s7a + 20160000*ln2*s7b - 46527075*s8a + 
    95760000*s8b - 76608000*s8c + 76608000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 209664000*s6*z2 + 49190400*li4half*z2^2 - 
    1478400*ln2^4*z2^2 - 6854400*ln2^2*z2^3 - 30317292*z2^4 - 
    40320000*li5half*z3 - 42336000*li4half*ln2*z3 - 1428000*ln2^5*z3 + 
    7224000*ln2^3*z2*z3 + 36615600*ln2*z2^2*z3 + 20538000*ln2^2*z3^2 + 
    88767000*z2*z3^2 + 183172500*ln2*z2*z5 - 100264500*z3*z5 + 
    135016875*ln2*z7)/14112000, H[-1, 0, -1, 0, -1, 0, 0, 0, 1] -> 
  (18900*s8a - 2184000*s8b - 235200*li4half*z2^2 - 9800*ln2^4*z2^2 + 
    58800*ln2^2*z2^3 - 335031*z2^4 + 352800*ln2*z2^2*z3 - 168000*z2*z3^2 + 
    336000*ln2*z2*z5 + 2226000*z3*z5 + 1680000*ln2*z7)/168000, 
 H[-1, 0, -1, 0, -1, 0, 0, -1, 1] -> 
  (-6720000*ln2*s7a - 6720000*ln2*s7b + 5807550*s8a - 87360000*s8b + 
    13440000*s8c - 13440000*s8d + 17472000*s6*z2 - 5040000*li4half*z2^2 - 
    210000*ln2^4*z2^2 - 252000*ln2^2*z2^3 - 9917802*z2^4 + 
    55104000*li5half*z3 + 14112000*li4half*ln2*z3 + 128800*ln2^5*z3 + 
    1064000*ln2^3*z2*z3 + 11172000*ln2*z2^2*z3 - 10290000*ln2^2*z3^2 - 
    5229000*z2*z3^2 + 7644000*ln2*z2*z5 + 9623250*z3*z5 + 95011875*ln2*z7)/
   4704000, H[-1, 0, -1, 0, -1, 0, -1, 1, 1] -> 
  (-32256000*li4half^2 - 2688000*li4half*ln2^4 - 56000*ln2^8 + 
    10944000*ln2^2*s6 + 5184000*ln2*s7a - 10944000*ln2*s7b - 8139600*s8a + 
    16128000*s8b - 16128000*s8c + 16128000*s8d - 48384000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 + 67200*ln2^6*z2 - 40320000*s6*z2 + 
    23385600*li4half*z2^2 + 974400*ln2^4*z2^2 - 15688800*ln2^2*z2^3 - 
    9503856*z2^4 + 8064000*li5half*z3 - 16128000*li4half*ln2*z3 - 
    739200*ln2^5*z3 + 4704000*ln2^3*z2*z3 + 20874600*ln2*z2^2*z3 + 
    4842000*ln2^2*z3^2 + 14364000*z2*z3^2 + 15624000*ln2^3*z5 + 
    127561500*ln2*z2*z5 - 23262750*z3*z5 - 55733625*ln2*z7)/2016000, 
 H[-1, 0, -1, 0, -1, 0, -1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    4032000*ln2^2*s6 + 4069800*s8a - 8064000*s8b + 8064000*s8c - 
    8064000*s8d - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    18144000*s6*z2 - 7156800*li4half*z2^2 + 205800*ln2^4*z2^2 + 
    1587600*ln2^2*z2^3 + 3801753*z2^4 + 4032000*li5half*z3 + 
    8064000*li4half*ln2*z3 + 302400*ln2^5*z3 - 1680000*ln2^3*z2*z3 - 
    5644800*ln2*z2^2*z3 - 1134000*ln2^2*z3^2 - 6394500*z2*z3^2 - 
    23184000*ln2*z2*z5 + 3433500*z3*z5 + 2016000*ln2*z7)/1008000, 
 H[-1, 0, -1, 0, -1, 0, -1, -1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 1344000*ln2^2*s6 - 
    2688000*ln2*s7a + 2688000*ln2*s7b - 3872925*s8a - 39564000*s8b - 
    8064000*s8d - 2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 
    20160000*s6*z2 - 4838400*li4half*z2^2 + 50400*ln2^4*z2^2 + 
    67200*ln2^2*z2^3 + 1573452*z2^4 + 16800000*li5half*z3 + 
    7392000*li4half*ln2*z3 + 168000*ln2^5*z3 - 448000*ln2^3*z2*z3 + 
    3007200*ln2*z2^2*z3 - 2709000*ln2^2*z3^2 + 1764000*z2*z3^2 - 
    5208000*ln2^3*z5 - 5544000*ln2*z2*z5 - 14933625*z3*z5 + 19929000*ln2*z7)/
   672000, H[-1, 0, -1, 0, -1, -1, 1, 1, 1] -> 
  (423360000*li4half^2 + 1128960000*li8half - 451584000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 112896000*li5half*ln2^3 + 
    44688000*li4half*ln2^4 + 460600*ln2^8 + 231840000*ln2^2*s6 - 
    233856000*ln2*s7a + 175392000*ln2*s7b + 316808100*s8a + 3163104000*s8b - 
    24192000*s8c + 715680000*s8d - 112896000*li6half*z2 + 
    42336000*li4half*ln2^2*z2 + 3645600*ln2^6*z2 - 1762992000*s6*z2 - 
    78422400*li4half*z2^2 - 69946800*ln2^4*z2^2 - 23788800*ln2^2*z2^3 - 
    252331344*z2^4 - 1036224000*li5half*z3 + 119952000*li4half*ln2*z3 + 
    13633200*ln2^5*z3 + 12432000*ln2^3*z2*z3 - 285440400*ln2*z2^2*z3 - 
    170950500*ln2^2*z3^2 - 272695500*z2*z3^2 - 410130000*ln2^3*z5 - 
    598311000*ln2*z2*z5 + 1390173750*z3*z5 + 1361107125*ln2*z7)/56448000, 
 H[-1, 0, -1, 0, -1, -1, 1, 0, 1] -> 
  (-645120*li4half^2 - 53760*li4half*ln2^4 - 1120*ln2^8 - 299520*ln2^2*s6 - 
    829440*ln2*s7a - 829440*ln2*s7b + 524160*s8a - 7701120*s8b + 
    2257920*s8c - 4193280*s8d + 967680*li6half*z2 + 1290240*li5half*ln2*z2 + 
    483840*li4half*ln2^2*z2 + 10752*ln2^6*z2 + 9696960*s6*z2 - 
    564480*li4half*z2^2 - 16800*ln2^4*z2^2 - 326304*ln2^2*z2^3 + 
    1431012*z2^4 + 6289920*li5half*z3 - 52416*ln2^5*z3 + 524160*ln2^3*z2*z3 + 
    642672*ln2*z2^2*z3 - 1354320*ln2^2*z3^2 - 1008000*z2*z3^2 - 
    4579200*ln2*z2*z5 - 7260750*z3*z5 - 6928695*ln2*z7)/161280, 
 H[-1, 0, -1, 0, -1, -1, 1, -1, 1] -> 
  (-677376000*li8half + 90316800*li7half*ln2 - 22579200*li5half*ln2^3 - 
    1881600*li4half*ln2^4 + 75040*ln2^8 - 31852800*ln2^2*s6 + 
    35481600*ln2*s7a - 74592000*ln2*s7b - 139671000*s8a - 1375315200*s8b - 
    7257600*s8c - 272160000*s8d + 79027200*li5half*ln2*z2 - 
    50803200*li4half*ln2^2*z2 - 3339840*ln2^6*z2 + 684028800*s6*z2 - 
    61205760*li4half*z2^2 + 26332320*ln2^4*z2^2 + 36600480*ln2^2*z2^3 + 
    122565528*z2^4 + 504806400*li5half*z3 + 69148800*li4half*ln2*z3 - 
    1325520*ln2^5*z3 - 26023200*ln2^3*z2*z3 + 167912640*ln2*z2^2*z3 + 
    45372600*ln2^2*z3^2 + 70799400*z2*z3^2 + 109368000*ln2^3*z5 + 
    240710400*ln2*z2*z5 - 440262900*z3*z5 - 737873325*ln2*z7)/11289600, 
 H[-1, 0, -1, 0, -1, -1, 0, 1, 1] -> 
  (-15456000*ln2^2*s6 + 30912000*ln2*s7a + 30912000*ln2*s7b - 23468025*s8a + 
    65688000*s8b - 30912000*s8c + 30912000*s8d + 112896000*li6half*z2 + 
    75264000*li5half*ln2*z2 + 18816000*li4half*ln2^2*z2 + 313600*ln2^6*z2 - 
    54768000*s6*z2 + 9004800*li4half*z2^2 - 408800*ln2^4*z2^2 + 
    3931200*ln2^2*z2^3 - 20684184*z2^4 - 108864000*li5half*z3 - 
    23520000*li4half*ln2*z3 - 72800*ln2^5*z3 - 3192000*ln2^3*z2*z3 - 
    22789200*ln2*z2^2*z3 + 19320000*ln2^2*z3^2 + 38178000*z2*z3^2 - 
    30922500*ln2*z2*z5 - 21703500*z3*z5 + 183799875*ln2*z7)/9408000, 
 H[-1, 0, -1, 0, -1, -1, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 
    1008000*ln2^2*s6 - 1389150*s8a - 4410000*s8b - 2016000*s8c + 
    2016000*s8d + 1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 - 4032000*s6*z2 + 
    1915200*li4half*z2^2 - 46200*ln2^4*z2^2 - 428400*ln2^2*z2^3 - 
    2101629*z2^4 - 1008000*li5half*z3 - 2016000*li4half*ln2*z3 - 
    75600*ln2^5*z3 + 420000*ln2^3*z2*z3 + 2998800*ln2*z2^2*z3 + 
    283500*ln2^2*z3^2 + 598500*z2*z3^2 + 5922000*ln2*z2*z5 + 6079500*z3*z5 + 
    5638500*ln2*z7)/504000, H[-1, 0, -1, 0, -1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    28224000*ln2^2*s6 - 30912000*ln2*s7a - 30912000*ln2*s7b - 442050*s8a - 
    141960000*s8b + 5376000*s8c - 5376000*s8d + 56448000*li6half*z2 + 
    37632000*li5half*ln2*z2 + 37632000*li4half*ln2^2*z2 + 1332800*ln2^6*z2 + 
    14280000*s6*z2 + 44083200*li4half*z2^2 - 2083200*ln2^4*z2^2 - 
    16564800*ln2^2*z2^3 - 43170408*z2^4 - 8064000*li5half*z3 - 
    108192000*li4half*ln2*z3 - 4440800*ln2^5*z3 + 26376000*ln2^3*z2*z3 + 
    43512000*ln2*z2^2*z3 - 39396000*ln2^2*z3^2 - 3076500*z2*z3^2 + 
    73206000*ln2*z2*z5 + 107756250*z3*z5 + 114904125*ln2*z7)/9408000, 
 H[-1, 0, -1, 0, -1, -1, -1, 1, 1] -> 
  (-1128960*li4half^2 + 5644800*li8half - 4515840*li7half*ln2 - 
    2257920*li6half*ln2^2 - 376320*li5half*ln2^3 - 141120*li4half*ln2^4 - 
    2884*ln2^8 + 806400*ln2^2*s6 - 161280*ln2*s7a + 403200*ln2*s7b - 
    16065*s8a + 10362240*s8b - 866880*s8c + 2066400*s8d + 
    2257920*li6half*z2 - 1411200*li5half*ln2*z2 + 141120*li4half*ln2^2*z2 + 
    25480*ln2^6*z2 - 4944240*s6*z2 + 1217664*li4half*z2^2 - 
    158592*ln2^4*z2^2 - 1449504*ln2^2*z2^3 - 1053243*z2^4 - 
    3003840*li5half*z3 - 1270080*li4half*ln2*z3 - 27888*ln2^5*z3 + 
    508200*ln2^3*z2*z3 + 50148*ln2*z2^2*z3 - 544950*ln2^2*z3^2 + 
    751590*z2*z3^2 - 273420*ln2^3*z5 + 2523150*ln2*z2*z5 - 2283435*z3*z5 + 
    5700240*ln2*z7)/282240, H[-1, 0, -1, 0, -1, -1, -1, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 1008000*ln2^2*s6 + 
    1959300*s8a - 9198000*s8b + 2016000*s8c - 2016000*s8d - 
    6048000*li6half*z2 - 4032000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 
    58800*ln2^6*z2 + 3654000*s6*z2 - 2016000*li4half*z2^2 + 
    84000*ln2^4*z2^2 + 453600*ln2^2*z2^3 + 288348*z2^4 + 5040000*li5half*z3 + 
    4032000*li4half*ln2*z3 + 126000*ln2^5*z3 - 588000*ln2^3*z2*z3 - 
    844200*ln2*z2^2*z3 - 283500*ln2^2*z3^2 - 2716875*z2*z3^2 - 
    1606500*ln2*z2*z5 + 7985250*z3*z5 + 7245000*ln2*z7)/1008000, 
 H[-1, 0, -1, 0, -1, -1, -1, -1, 1] -> 
  (564480000*li8half + 451584000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 42000*ln2^8 + 
    76104000*ln2^2*s6 - 68544000*ln2*s7a - 26208000*ln2*s7b - 46270350*s8a - 
    515592000*s8b + 6048000*s8c - 111888000*s8d - 78400*ln2^6*z2 + 
    276696000*s6*z2 - 22377600*li4half*z2^2 - 932400*ln2^4*z2^2 - 
    20311200*ln2^2*z2^3 - 60890076*z2^4 + 223776000*li5half*z3 - 
    1864800*ln2^5*z3 + 18648000*ln2^3*z2*z3 + 89573400*ln2*z2^2*z3 - 
    64260000*ln2^2*z3^2 + 22585500*z2*z3^2 - 68355000*ln2^3*z5 + 
    128079000*ln2*z2*z5 - 213617250*z3*z5 - 46060875*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, 1, 1, 1, 1, 1] -> 
  (-84672000*li4half^2 - 1185408000*li8half + 564480000*li7half*ln2 - 
    28224000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 44800*ln2^8 - 
    153216000*ln2^2*s6 + 70560000*ln2*s7a - 14112000*ln2*s7b - 94896900*s8a - 
    1363824000*s8b + 24192000*s8c - 235872000*s8d + 28224000*li6half*z2 - 
    1568000*ln2^6*z2 + 648144000*s6*z2 - 47174400*li4half*z2^2 + 
    24788400*ln2^4*z2^2 + 137541600*ln2^2*z2^3 + 139852656*z2^4 + 
    443520000*li5half*z3 - 2461200*ln2^5*z3 - 17724000*ln2^3*z2*z3 + 
    38152800*ln2*z2^2*z3 + 72670500*ln2^2*z3^2 + 49549500*z2*z3^2 + 
    77469000*ln2^3*z5 - 44793000*ln2*z2*z5 - 118991250*z3*z5 - 
    649758375*ln2*z7)/56448000, H[-1, 0, -1, -1, 1, 1, 1, 0, 1] -> 
  (56448000*li4half^2 + 3386880000*li8half + 338688000*li7half*ln2 + 
    4704000*li4half*ln2^4 + 114800*ln2^8 - 166320000*ln2^2*s6 + 
    61488000*ln2*s7a + 40320000*ln2*s7b + 466702425*s8a + 4387824000*s8b + 
    209664000*s8c + 524160000*s8d - 127008000*li6half*z2 - 
    7056000*li4half*ln2^2*z2 - 1411200*ln2^6*z2 - 1478736000*s6*z2 + 
    104126400*li4half*z2^2 - 3423000*ln2^4*z2^2 - 55818000*ln2^2*z2^3 - 
    268127892*z2^4 - 1027152000*li5half*z3 - 31752000*li4half*ln2*z3 + 
    7236600*ln2^5*z3 - 50316000*ln2^3*z2*z3 - 404938800*ln2*z2^2*z3 + 
    10332000*ln2^2*z3^2 - 263859750*z2*z3^2 + 20506500*ln2^3*z5 - 
    740376000*ln2*z2*z5 + 94303125*z3*z5 + 110722500*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, 1, 1, 1, -1, 1] -> 
  (-16934400*li4half^2 + 474163200*li8half - 90316800*li7half*ln2 + 
    1881600*li5half*ln2^3 - 2822400*li4half*ln2^4 - 74200*ln2^8 - 
    2620800*ln2^2*s6 - 16934400*ln2*s7a + 5644800*ln2*s7b + 93424275*s8a + 
    811944000*s8b + 39110400*s8c + 124588800*s8d - 22579200*li5half*ln2*z2 + 
    16934400*li4half*ln2^2*z2 + 1403360*ln2^6*z2 - 331027200*s6*z2 + 
    42698880*li4half*z2^2 - 8381520*ln2^4*z2^2 - 30481920*ln2^2*z2^3 - 
    60125616*z2^4 - 237888000*li5half*z3 - 60681600*li4half*ln2*z3 - 
    792960*ln2^5*z3 + 21100800*ln2^3*z2*z3 - 63834120*ln2*z2^2*z3 - 
    39633300*ln2^2*z3^2 - 53014500*z2*z3^2 - 20962200*ln2^3*z5 - 
    104542200*ln2*z2*z5 + 141436575*z3*z5 + 170556750*ln2*z7)/11289600, 
 H[-1, 0, -1, -1, 1, 1, 0, 1, 1] -> 
  (-4515840000*li8half - 1806336000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    67200*ln2^8 + 647136000*ln2^2*s6 - 282240000*ln2*s7a + 
    268128000*ln2*s7b - 1196450325*s8a - 8408736000*s8b - 800352000*s8c - 
    836640000*s8d - 84672000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 2861600*ln2^6*z2 + 2407104000*s6*z2 - 
    203313600*li4half*z2^2 + 6228600*ln2^4*z2^2 - 106369200*ln2^2*z2^3 + 
    326652768*z2^4 + 1701504000*li5half*z3 + 169344000*li4half*ln2*z3 - 
    7123200*ln2^5*z3 + 50946000*ln2^3*z2*z3 + 873217800*ln2*z2^2*z3 - 
    114345000*ln2^2*z3^2 + 875007000*z2*z3^2 - 533169000*ln2^3*z5 + 
    1611666000*ln2*z2*z5 - 796249125*z3*z5 + 2879344125*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, 1, 1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    277200000*ln2^2*s6 + 104832000*ln2*s7a - 8064000*ln2*s7b + 
    546599025*s8a + 3058272000*s8b + 344736000*s8c + 445536000*s8d - 
    112896000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 274400*ln2^6*z2 - 1303848000*s6*z2 + 
    39009600*li4half*z2^2 - 20130600*ln2^4*z2^2 + 146714400*ln2^2*z2^3 - 
    38680056*z2^4 - 778176000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    7366800*ln2^5*z3 - 48972000*ln2^3*z2*z3 - 510816600*ln2*z2^2*z3 + 
    45517500*ln2^2*z3^2 - 376409250*z2*z3^2 + 109368000*ln2^3*z5 - 
    939519000*ln2*z2*z5 + 1223656875*z3*z5 + 49077000*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, 1, 1, 0, -1, 1] -> 
  (1935360*li4half^2 + 103219200*li8half + 20643840*li7half*ln2 + 
    161280*li4half*ln2^4 + 1824*ln2^8 - 19889280*ln2^2*s6 + 5736960*ln2*s7a - 
    3778560*ln2*s7b + 41481405*s8a + 254842560*s8b + 28304640*s8c + 
    24272640*s8d - 1774080*li6half*z2 - 645120*li5half*ln2*z2 - 
    725760*li4half*ln2^2*z2 - 12992*ln2^6*z2 - 75519360*s6*z2 + 
    3257856*li4half*z2^2 - 186144*ln2^4*z2^2 + 4620096*ln2^2*z2^3 - 
    6737904*z2^4 - 48222720*li5half*z3 + 3144960*li4half*ln2*z3 + 
    532896*ln2^5*z3 - 4885440*ln2^3*z2*z3 - 33836328*ln2*z2^2*z3 + 
    3455460*ln2^2*z3^2 - 31090500*z2*z3^2 + 9218160*ln2^3*z5 - 
    73302840*ln2*z2*z5 + 43234065*z3*z5 - 34867530*ln2*z7)/322560, 
 H[-1, 0, -1, -1, 1, 1, -1, 1, 1] -> 
  (50803200*li4half^2 - 383846400*li8half - 56448000*li7half*ln2 + 
    33868800*li6half*ln2^2 + 2822400*li4half*ln2^4 + 78120*ln2^8 + 
    74592000*ln2^2*s6 - 13708800*ln2*s7a - 5241600*ln2*s7b - 100737000*s8a - 
    894902400*s8b - 54028800*s8c - 143539200*s8d - 33868800*li6half*z2 + 
    16934400*li5half*ln2*z2 - 16934400*li4half*ln2^2*z2 - 1356320*ln2^6*z2 + 
    351993600*s6*z2 - 70197120*li4half*z2^2 + 1567440*ln2^4*z2^2 - 
    6935040*ln2^2*z2^3 + 55648728*z2^4 + 278611200*li5half*z3 + 
    84672000*li4half*ln2*z3 + 959280*ln2^5*z3 - 16648800*ln2^3*z2*z3 + 
    88759440*ln2*z2^2*z3 + 12026700*ln2^2*z3^2 + 62439300*z2*z3^2 - 
    8202600*ln2^3*z5 + 145202400*ln2*z2*z5 - 162247050*z3*z5 - 
    26587575*ln2*z7)/11289600, H[-1, 0, -1, -1, 1, 1, -1, 0, 1] -> 
  (-169344000*li4half^2 - 4515840000*li8half - 451584000*li7half*ln2 - 
    14112000*li4half*ln2^4 - 316400*ln2^8 + 363888000*ln2^2*s6 + 
    32256000*ln2*s7a + 102816000*ln2*s7b - 1106895825*s8a - 6905304000*s8b - 
    792288000*s8c - 364896000*s8d + 310464000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 4390400*ln2^6*z2 + 
    1548288000*s6*z2 + 45561600*li4half*z2^2 - 15388800*ln2^4*z2^2 + 
    5846400*ln2^2*z2^3 + 152106048*z2^4 + 786240000*li5half*z3 - 
    141120000*li4half*ln2*z3 - 12432000*ln2^5*z3 + 157248000*ln2^3*z2*z3 + 
    737011800*ln2*z2^2*z3 + 31342500*ln2^2*z3^2 + 802588500*z2*z3^2 - 
    68355000*ln2^3*z5 + 2251242000*ln2*z2*z5 - 46045125*z3*z5 + 
    1177021125*ln2*z7)/56448000, H[-1, 0, -1, -1, 1, 1, -1, -1, 1] -> 
  (254016000*li4half^2 + 169344000*li8half + 395136000*li7half*ln2 - 
    84672000*li6half*ln2^2 + 28224000*li4half*ln2^4 + 543200*ln2^8 - 
    321552000*ln2^2*s6 + 185472000*ln2*s7a + 72576000*ln2*s7b + 
    127277325*s8a + 654696000*s8b + 102816000*s8c + 66528000*s8d - 
    169344000*li4half*ln2^2*z2 - 5527200*ln2^6*z2 - 217728000*s6*z2 - 
    189907200*li4half*z2^2 + 28543200*ln2^4*z2^2 + 159717600*ln2^2*z2^3 + 
    18565632*z2^4 - 133056000*li5half*z3 + 486864000*li4half*ln2*z3 + 
    22629600*ln2^5*z3 - 145152000*ln2^3*z2*z3 - 324412200*ln2*z2^2*z3 + 
    276916500*ln2^2*z3^2 - 98941500*z2*z3^2 + 109368000*ln2^3*z5 - 
    518112000*ln2*z2*z5 + 211987125*z3*z5 + 342515250*ln2*z7)/56448000, 
 H[-1, 0, -1, -1, 1, 0, 1, 1, 1] -> 
  (84672000*li4half^2 + 2257920000*li8half + 1354752000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 91000*ln2^8 - 175896000*ln2^2*s6 + 
    270144000*ln2*s7a - 364896000*ln2*s7b + 391648950*s8a + 3747744000*s8b + 
    114912000*s8c + 618912000*s8d - 338688000*li6half*z2 + 
    84672000*li4half*ln2^2*z2 + 3214400*ln2^6*z2 - 1756440000*s6*z2 + 
    108964800*li4half*z2^2 - 14863800*ln2^4*z2^2 + 42840000*ln2^2*z2^3 - 
    239920488*z2^4 - 1223712000*li5half*z3 - 158760000*li4half*ln2*z3 + 
    3582600*ln2^5*z3 + 51492000*ln2^3*z2*z3 - 210256200*ln2*z2^2*z3 + 
    211380750*ln2^2*z3^2 - 146931750*z2*z3^2 + 603802500*ln2^3*z5 + 
    782050500*ln2*z2*z5 + 707820750*z3*z5 - 2866807125*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, 1, 0, 1, 0, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    118944000*ln2^2*s6 - 74592000*ln2*s7a - 131040000*ln2*s7b + 
    291789225*s8a + 779184000*s8b + 387072000*s8c - 217728000*s8d + 
    169344000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1881600*ln2^6*z2 + 414288000*s6*z2 + 
    20311200*li4half*z2^2 - 2681700*ln2^4*z2^2 - 365400*ln2^2*z2^3 + 
    118862826*z2^4 + 421344000*li5half*z3 - 21168000*li4half*ln2*z3 - 
    4393200*ln2^5*z3 + 19236000*ln2^3*z2*z3 - 88880400*ln2*z2^2*z3 - 
    110628000*ln2^2*z3^2 - 337160250*z2*z3^2 + 54684000*ln2^3*z5 - 
    848499750*ln2*z2*z5 - 311794875*z3*z5 - 1004920875*ln2*z7)/14112000, 
 H[-1, 0, -1, -1, 1, 0, 1, -1, 1] -> 
  (-9031680000*li8half - 1354752000*li7half*ln2 - 37632000*li5half*ln2^3 + 
    358400*ln2^8 + 1516032000*ln2^2*s6 - 403200000*ln2*s7a + 
    288288000*ln2*s7b - 3611862450*s8a - 23099328000*s8b - 2225664000*s8c - 
    2657088000*s8d + 225792000*li5half*ln2*z2 - 127008000*li4half*ln2^2*z2 - 
    9682400*ln2^6*z2 + 7755552000*s6*z2 - 548352000*li4half*z2^2 + 
    80992800*ln2^4*z2^2 - 267775200*ln2^2*z2^3 + 887204088*z2^4 + 
    5229504000*li5half*z3 + 172872000*li4half*ln2*z3 - 36376200*ln2^5*z3 + 
    204708000*ln2^3*z2*z3 + 2965170600*ln2*z2^2*z3 - 153972000*ln2^2*z3^2 + 
    2609460000*z2*z3^2 - 658486500*ln2^3*z5 + 5483299500*ln2*z2*z5 - 
    4987899000*z3*z5 + 1919413125*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, 1, 0, 0, 1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 + 
    47376000*ln2^2*s6 - 88704000*ln2*s7a + 278208000*ln2*s7b - 75617325*s8a - 
    586656000*s8b - 86688000*s8c - 82656000*s8d + 677376000*li6half*z2 + 
    282240000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 - 823200*ln2^6*z2 + 
    560448000*s6*z2 - 104025600*li4half*z2^2 - 7274400*ln2^4*z2^2 + 
    18144000*ln2^2*z2^3 - 75950592*z2^4 - 116928000*li5half*z3 + 
    77616000*li4half*ln2*z3 + 4208400*ln2^5*z3 - 45024000*ln2^3*z2*z3 - 
    104479200*ln2*z2^2*z3 - 79285500*ln2^2*z3^2 - 48982500*z2*z3^2 - 
    355446000*ln2^3*z5 - 825741000*ln2*z2*z5 + 96563250*z3*z5 + 
    1418319000*ln2*z7)/28224000, H[-1, 0, -1, -1, 1, 0, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    143136000*ln2^2*s6 - 40320000*ln2*s7a + 16128000*ln2*s7b - 
    288544725*s8a - 1450512000*s8b - 205632000*s8c - 133056000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 417816000*s6*z2 + 
    17136000*li4half*z2^2 - 2814000*ln2^4*z2^2 - 60858000*ln2^2*z2^3 - 
    19392396*z2^4 + 308448000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    4922400*ln2^5*z3 + 39816000*ln2^3*z2*z3 + 282378600*ln2*z2^2*z3 - 
    21483000*ln2^2*z3^2 + 225776250*z2*z3^2 - 54684000*ln2^3*z5 + 
    587821500*ln2*z2*z5 - 488029500*z3*z5 + 192520125*ln2*z7)/14112000, 
 H[-1, 0, -1, -1, 1, 0, 0, -1, 1] -> 
  (-2822400*li4half^2 - 235200*li4half*ln2^4 - 4900*ln2^8 - 672000*ln2^2*s6 - 
    2822400*ln2*s7a - 3763200*ln2*s7b + 6480600*s8a + 11608800*s8b + 
    6988800*s8c - 1344000*s8d + 11289600*li6half*z2 + 
    1881600*li5half*ln2*z2 + 1411200*li4half*ln2^2*z2 + 58800*ln2^6*z2 + 
    3628800*s6*z2 + 2106720*li4half*z2^2 - 167020*ln2^4*z2^2 - 
    945000*ln2^2*z2^3 - 2386624*z2^4 - 1075200*li5half*z3 - 
    5880000*li4half*ln2*z3 - 236040*ln2^5*z3 + 1909600*ln2^3*z2*z3 + 
    24360*ln2*z2^2*z3 - 5436900*ln2^2*z3^2 - 7086450*z2*z3^2 + 
    911400*ln2^3*z5 - 7229250*ln2*z2*z5 + 11472825*z3*z5 - 8209950*ln2*z7)/
   940800, H[-1, 0, -1, -1, 1, 0, -1, 1, 1] -> 
  (-1806336000*li7half*ln2 - 451584000*li6half*ln2^2 - 268800*ln2^8 + 
    106176000*ln2^2*s6 - 360864000*ln2*s7a + 532896000*ln2*s7b + 
    230560050*s8a + 1498896000*s8b + 48384000*s8c + 346752000*s8d + 
    451584000*li6half*z2 + 122304000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 5017600*ln2^6*z2 - 660576000*s6*z2 + 
    89107200*li4half*z2^2 - 52186400*ln2^4*z2^2 - 49711200*ln2^2*z2^3 - 
    166538472*z2^4 - 836976000*li5half*z3 - 150528000*li4half*ln2*z3 + 
    702800*ln2^5*z3 + 27860000*ln2^3*z2*z3 - 417824400*ln2*z2^2*z3 - 
    379165500*ln2^2*z3^2 - 208498500*z2*z3^2 - 865830000*ln2^3*z5 - 
    1765365000*ln2*z2*z5 + 1087038750*z3*z5 + 4372879875*ln2*z7)/18816000, 
 H[-1, 0, -1, -1, 1, 0, -1, 0, 1] -> 
  (-45158400*li4half^2 - 3763200*li4half*ln2^4 - 78400*ln2^8 + 
    25804800*ln2^2*s6 - 24192000*ln2*s7a - 24192000*ln2*s7b - 44300025*s8a - 
    273268800*s8b - 3225600*s8c - 64512000*s8d - 67737600*li6half*z2 + 
    11289600*li5half*ln2*z2 + 22579200*li4half*ln2^2*z2 + 752640*ln2^6*z2 + 
    126201600*s6*z2 + 14333760*li4half*z2^2 + 126840*ln2^4*z2^2 - 
    5932080*ln2^2*z2^3 + 25378824*z2^4 + 157248000*li5half*z3 - 
    16934400*li4half*ln2*z3 - 2016000*ln2^5*z3 + 10987200*ln2^3*z2*z3 + 
    67324320*ln2*z2^2*z3 - 18673200*ln2^2*z3^2 + 36111600*z2*z3^2 + 
    69318900*ln2*z2*z5 - 212796675*z3*z5 - 153542025*ln2*z7)/5644800, 
 H[-1, 0, -1, -1, 1, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    225792000*li6half*ln2^2 - 7056000*li4half*ln2^4 - 79800*ln2^8 - 
    1016064000*ln2^2*s6 + 355488000*ln2*s7a - 575904000*ln2*s7b + 
    2009391825*s8a + 11716152000*s8b + 1466976000*s8c + 1016736000*s8d + 
    37632000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1136800*ln2^6*z2 - 
    3275328000*s6*z2 + 271084800*li4half*z2^2 + 9139200*ln2^4*z2^2 + 
    234998400*ln2^2*z2^3 - 295356648*z2^4 - 2061696000*li5half*z3 - 
    155232000*li4half*ln2*z3 + 10712800*ln2^5*z3 - 131236000*ln2^3*z2*z3 - 
    1341845400*ln2*z2^2*z3 + 175224000*ln2^2*z3^2 - 1557622500*z2*z3^2 + 
    902286000*ln2^3*z5 - 2664816000*ln2*z2*z5 + 2017441125*z3*z5 - 
    4472314875*ln2*z7)/18816000, H[-1, 0, -1, -1, 1, -1, 1, 1, 1] -> 
  (-169344000*li4half^2 + 4290048000*li8half - 564480000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 28224000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 + 42000*ln2^8 + 84672000*ln2^2*s6 - 
    94752000*ln2*s7a - 10080000*ln2*s7b + 539984025*s8a + 6166440000*s8b + 
    62496000*s8c + 1080576000*s8d + 84672000*li6half*z2 - 
    169344000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 9016000*ln2^6*z2 - 
    2753856000*s6*z2 + 398160000*li4half*z2^2 - 74844000*ln2^4*z2^2 - 
    293832000*ln2^2*z2^3 - 592654176*z2^4 - 2161152000*li5half*z3 - 
    486864000*li4half*ln2*z3 - 3511200*ln2^5*z3 + 197400000*ln2^3*z2*z3 - 
    386757000*ln2*z2^2*z3 - 241668000*ln2^2*z3^2 - 211365000*z2*z3^2 - 
    27342000*ln2^3*z5 + 171549000*ln2*z2*z5 + 997203375*z3*z5 + 
    863029125*ln2*z7)/56448000, H[-1, 0, -1, -1, 1, -1, 1, 0, 1] -> 
  (-24192000*li4half^2 - 1128960000*li8half - 112896000*li7half*ln2 - 
    2016000*li4half*ln2^4 - 47600*ln2^8 + 117792000*ln2^2*s6 - 
    32112000*ln2*s7a - 2880000*ln2*s7b - 287952525*s8a - 2030112000*s8b - 
    171360000*s8c - 221760000*s8d - 2016000*li6half*z2 - 
    12096000*li5half*ln2*z2 + 12096000*li4half*ln2^2*z2 + 915600*ln2^6*z2 + 
    637056000*s6*z2 - 28929600*li4half*z2^2 + 1885800*ln2^4*z2^2 - 
    12589200*ln2^2*z2^3 + 94590036*z2^4 + 458640000*li5half*z3 - 
    18144000*li4half*ln2*z3 - 4578000*ln2^5*z3 + 38850000*ln2^3*z2*z3 + 
    251416800*ln2*z2^2*z3 - 10750500*ln2^2*z3^2 + 205443000*z2*z3^2 - 
    28318500*ln2^3*z5 + 532431000*ln2*z2*z5 - 297871875*z3*z5 - 
    1278000*ln2*z7)/4032000, H[-1, 0, -1, -1, 1, -1, 1, -1, 1] -> 
  (-338688000*li4half^2 - 3217536000*li8half + 451584000*li7half*ln2 + 
    28224000*li5half*ln2^3 - 28224000*li4half*ln2^4 - 992600*ln2^8 + 
    28224000*ln2^2*s6 + 8064000*ln2*s7a - 203616000*ln2*s7b - 420732900*s8a - 
    3783024000*s8b - 72576000*s8c - 689472000*s8d - 
    169344000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 6232800*ln2^6*z2 + 
    1759968000*s6*z2 + 99187200*li4half*z2^2 + 91862400*ln2^4*z2^2 + 
    102160800*ln2^2*z2^3 + 436267296*z2^4 + 1463616000*li5half*z3 - 
    275184000*li4half*ln2*z3 - 22428000*ln2^5*z3 - 75600000*ln2^3*z2*z3 + 
    631335600*ln2*z2^2*z3 + 38808000*ln2^2*z3^2 + 218484000*z2*z3^2 + 
    150381000*ln2^3*z5 + 945504000*ln2*z2*z5 - 1201851000*z3*z5 - 
    2927980125*ln2*z7)/56448000, H[-1, 0, -1, -1, 1, -1, 0, 1, 1] -> 
  (112896000*li4half^2 + 2257920000*li8half + 903168000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 9408000*li4half*ln2^4 + 229600*ln2^8 - 
    479976000*ln2^2*s6 + 171024000*ln2*s7a - 160608000*ln2*s7b + 
    907218900*s8a + 5315184000*s8b + 667296000*s8c + 405216000*s8d - 
    28224000*li6half*z2 + 79968000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1450400*ln2^6*z2 - 1357272000*s6*z2 + 
    604800*li4half*z2^2 + 5513200*ln2^4*z2^2 + 145664400*ln2^2*z2^3 - 
    94679556*z2^4 - 853944000*li5half*z3 + 131712000*li4half*ln2*z3 + 
    12604200*ln2^5*z3 - 131138000*ln2^3*z2*z3 - 701076600*ln2*z2^2*z3 + 
    129202500*ln2^2*z3^2 - 716341500*z2*z3^2 + 321268500*ln2^3*z5 - 
    1636530000*ln2*z2*z5 + 746166750*z3*z5 - 1646444625*ln2*z7)/9408000, 
 H[-1, 0, -1, -1, 1, -1, 0, 0, 1] -> 
  (-4032000*li4half^2 - 336000*li4half*ln2^4 - 7000*ln2^8 + 
    11904000*ln2^2*s6 - 3168000*ln2*s7a + 1872000*ln2*s7b - 24372600*s8a - 
    127512000*s8b - 17472000*s8c - 12768000*s8d + 4032000*li6half*z2 + 
    672000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 84000*ln2^6*z2 + 
    41748000*s6*z2 + 218400*li4half*z2^2 + 485100*ln2^4*z2^2 - 
    6260400*ln2^2*z2^3 - 1761186*z2^4 + 24192000*li5half*z3 - 
    4032000*li4half*ln2*z3 - 369600*ln2^5*z3 + 3402000*ln2^3*z2*z3 + 
    22635300*ln2*z2^2*z3 - 2164500*ln2^2*z3^2 + 19026000*z2*z3^2 - 
    4882500*ln2^3*z5 + 47594250*ln2*z2*z5 - 39535125*z3*z5 + 17849625*ln2*z7)/
   672000, H[-1, 0, -1, -1, 1, -1, 0, -1, 1] -> 
  (1008000*li4half^2 - 322560000*li8half - 64512000*li7half*ln2 + 
    84000*li4half*ln2^4 + 6550*ln2^8 + 62088000*ln2^2*s6 - 17736000*ln2*s7a + 
    15360000*ln2*s7b - 132303150*s8a - 830844000*s8b - 88704000*s8c - 
    81648000*s8d + 3024000*li6half*z2 + 2688000*li5half*ln2*z2 - 
    504000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 248976000*s6*z2 - 
    17136000*li4half*z2^2 + 652400*ln2^4*z2^2 - 13234800*ln2^2*z2^3 + 
    21754056*z2^4 + 161952000*li5half*z3 + 1848000*li4half*ln2*z3 - 
    1272600*ln2^5*z3 + 12761000*ln2^3*z2*z3 + 104235900*ln2*z2^2*z3 - 
    9475500*ln2^2*z3^2 + 98784000*z2*z3^2 - 32061750*ln2^3*z5 + 
    219837000*ln2*z2*z5 - 138382125*z3*z5 + 147605250*ln2*z7)/672000, 
 H[-1, 0, -1, -1, 1, -1, -1, 1, 1] -> 
  (112896000*li4half^2 - 395136000*li8half - 282240000*li7half*ln2 - 
    56448000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 
    7000*ln2^8 - 23184000*ln2^2*s6 - 48384000*ln2*s7a + 102144000*ln2*s7b + 
    119893725*s8a + 399672000*s8b + 58464000*s8c + 82656000*s8d + 
    56448000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 274400*ln2^6*z2 - 193536000*s6*z2 - 
    54028800*li4half*z2^2 - 9660000*ln2^4*z2^2 + 61538400*ln2^2*z2^3 + 
    4673736*z2^4 - 235872000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    4729200*ln2^5*z3 - 37884000*ln2^3*z2*z3 - 174480600*ln2*z2^2*z3 - 
    17325000*ln2^2*z3^2 - 124110000*z2*z3^2 - 150381000*ln2^3*z5 - 
    581133000*ln2*z2*z5 + 571386375*z3*z5 + 732411750*ln2*z7)/18816000, 
 H[-1, 0, -1, -1, 1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 + 645120000*li8half + 64512000*li7half*ln2 - 
    2352000*li4half*ln2^4 - 45800*ln2^8 - 63312000*ln2^2*s6 - 
    1536000*ln2*s7a - 19008000*ln2*s7b + 179136825*s8a + 1156008000*s8b + 
    129696000*s8c + 92064000*s8d + 4032000*li6half*z2 + 
    13440000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 302400*ln2^6*z2 - 
    296016000*s6*z2 + 37363200*li4half*z2^2 - 2497600*ln2^4*z2^2 - 
    580800*ln2^2*z2^3 - 41568048*z2^4 - 188832000*li5half*z3 - 
    24864000*li4half*ln2*z3 + 537600*ln2^5*z3 - 8680000*ln2^3*z2*z3 - 
    125629800*ln2*z2^2*z3 - 20599500*ln2^2*z3^2 - 132636000*z2*z3^2 + 
    16926000*ln2^3*z5 - 334050000*ln2*z2*z5 + 82044375*z3*z5 - 
    147947250*ln2*z7)/2688000, H[-1, 0, -1, -1, 1, -1, -1, -1, 1] -> 
  (-84672000*li4half^2 + 338688000*li8half + 366912000*li7half*ln2 + 
    98784000*li6half*ln2^2 - 28224000*li5half*ln2^3 - 7056000*li4half*ln2^4 + 
    161000*ln2^8 + 42840000*ln2^2*s6 - 38304000*ln2*s7a - 151200000*ln2*s7b - 
    92540700*s8a - 1031184000*s8b + 12096000*s8c - 223776000*s8d + 
    141120000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 999600*ln2^6*z2 + 
    553392000*s6*z2 + 22982400*li4half*z2^2 + 5896800*ln2^4*z2^2 - 
    33717600*ln2^2*z2^3 - 26947512*z2^4 + 376992000*li5half*z3 - 
    155232000*li4half*ln2*z3 - 10227000*ln2^5*z3 + 76398000*ln2^3*z2*z3 + 
    242650800*ln2*z2^2*z3 - 79789500*ln2^2*z3^2 + 45171000*z2*z3^2 + 
    116203500*ln2^3*z5 + 411390000*ln2*z2*z5 - 356674500*z3*z5 - 
    790279875*ln2*z7)/28224000, H[-1, 0, -1, -1, 0, 1, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    11592000*ln2^2*s6 - 5040000*ln2*s7a - 26208000*ln2*s7b + 59394825*s8a + 
    111888000*s8b + 54432000*s8c - 33264000*s8d - 42336000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 1117200*ln2^6*z2 + 45360000*s6*z2 + 
    28627200*li4half*z2^2 + 7366800*ln2^4*z2^2 - 8870400*ln2^2*z2^3 + 
    5592492*z2^4 + 91224000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    1297800*ln2^5*z3 - 23268000*ln2^3*z2*z3 + 7824600*ln2*z2^2*z3 + 
    14490000*ln2^2*z3^2 - 68607000*z2*z3^2 + 13671000*ln2^3*z5 - 
    41328000*ln2*z2*z5 - 19309500*z3*z5 - 183763125*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, 0, 1, 1, 0, 1] -> 
  (40775*s8a + 84000*s6*z2 - 336000*li4half*z2^2 - 14000*ln2^4*z2^2 + 
    84000*ln2^2*z2^3 + 59804*z2^4 - 297500*ln2*z2^2*z3 - 69125*z2*z3^2 - 
    232750*ln2*z2*z5 + 564375*z3*z5 + 127750*ln2*z7)/224000, 
 H[-1, 0, -1, -1, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    43344000*ln2^2*s6 + 12768000*ln2*s7a + 45696000*ln2*s7b - 60436425*s8a - 
    17304000*s8b - 112224000*s8c + 98112000*s8d - 37632000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 2665600*ln2^6*z2 - 189168000*s6*z2 + 
    39379200*li4half*z2^2 - 13843200*ln2^4*z2^2 - 26342400*ln2^2*z2^3 - 
    50351568*z2^4 - 177408000*li5half*z3 - 54096000*li4half*ln2*z3 - 
    775600*ln2^5*z3 + 35784000*ln2^3*z2*z3 - 9471000*ln2*z2^2*z3 + 
    31741500*ln2^2*z3^2 + 75421500*z2*z3^2 - 27342000*ln2^3*z5 + 
    212142000*ln2*z2*z5 + 152866875*z3*z5 + 337790250*ln2*z7)/18816000, 
 H[-1, 0, -1, -1, 0, 1, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    38304000*ln2^2*s6 + 36288000*ln2*s7a + 36288000*ln2*s7b - 157181850*s8a - 
    116928000*s8b - 149184000*s8c + 149184000*s8d + 
    169344000*li5half*ln2*z2 + 141120000*li4half*ln2^2*z2 + 
    4468800*ln2^6*z2 - 277200000*s6*z2 + 49593600*li4half*z2^2 - 
    22629600*ln2^4*z2^2 - 2318400*ln2^2*z2^3 - 53912196*z2^4 - 
    397152000*li5half*z3 - 197568000*li4half*ln2*z3 - 4922400*ln2^5*z3 + 
    90384000*ln2^3*z2*z3 + 78485400*ln2*z2^2*z3 - 47880000*ln2^2*z3^2 + 
    180904500*z2*z3^2 + 212184000*ln2*z2*z5 + 64378125*z3*z5 + 
    349917750*ln2*z7)/28224000, H[-1, 0, -1, -1, 0, 1, 0, 0, 1] -> 
  (788025*s8a + 4368000*s8b + 2419200*li4half*z2^2 + 100800*ln2^4*z2^2 - 
    604800*ln2^2*z2^3 - 485356*z2^4 + 1549800*ln2*z2^2*z3 - 1144500*z2*z3^2 - 
    1407000*ln2*z2*z5 + 131250*z3*z5 - 4331250*ln2*z7)/672000, 
 H[-1, 0, -1, -1, 0, 1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    14112000*ln2^2*s6 - 24864000*ln2*s7a - 24864000*ln2*s7b + 11149425*s8a + 
    24864000*s8b + 21504000*s8c - 21504000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 44772000*s6*z2 + 20748000*li4half*z2^2 - 
    899500*ln2^4*z2^2 - 10075800*ln2^2*z2^3 + 10177548*z2^4 + 
    43008000*li5half*z3 - 49392000*li4half*ln2*z3 - 2416400*ln2^5*z3 + 
    15932000*ln2^3*z2*z3 + 33133800*ln2*z2^2*z3 - 34104000*ln2^2*z3^2 - 
    16183125*z2*z3^2 + 1433250*ln2*z2*z5 - 59440500*z3*z5 - 212926875*ln2*z7)/
   4704000, H[-1, 0, -1, -1, 0, 1, -1, 1, 1] -> 
  (-16934400*li4half^2 - 1411200*li4half*ln2^4 - 29400*ln2^8 - 
    14582400*ln2^2*s6 + 6048000*ln2*s7a - 1478400*ln2*s7b - 7882350*s8a - 
    62025600*s8b + 14246400*s8c - 22713600*s8d - 1881600*li5half*ln2*z2 - 
    8467200*li4half*ln2^2*z2 - 337120*ln2^6*z2 + 51072000*s6*z2 + 
    5335680*li4half*z2^2 + 3240720*ln2^4*z2^2 + 1471680*ln2^2*z2^3 + 
    9488616*z2^4 + 47779200*li5half*z3 - 398160*ln2^5*z3 - 
    3427200*ln2^3*z2*z3 + 10842720*ln2*z2^2*z3 - 6879600*ln2^2*z3^2 + 
    5426400*z2*z3^2 + 7291200*ln2^3*z5 - 29488200*ln2*z2*z5 - 
    82554150*z3*z5 + 15373575*ln2*z7)/3763200, 
 H[-1, 0, -1, -1, 0, 1, -1, 0, 1] -> 
  (32256000*li4half^2 + 2688000*li4half*ln2^4 + 56000*ln2^8 + 
    15552000*ln2^2*s6 + 8640000*ln2*s7a + 8640000*ln2*s7b - 16504425*s8a + 
    47880000*s8b - 48384000*s8c + 48384000*s8d - 16128000*li4half*ln2^2*z2 - 
    672000*ln2^6*z2 - 100296000*s6*z2 - 3124800*li4half*z2^2 + 
    1885800*ln2^4*z2^2 - 385200*ln2^2*z2^3 - 19716228*z2^4 - 
    96768000*li5half*z3 - 12096000*li4half*ln2*z3 + 302400*ln2^5*z3 - 
    5040000*ln2^3*z2*z3 + 2102400*ln2*z2^2*z3 + 17604000*ln2^2*z3^2 + 
    23514750*z2*z3^2 + 108337500*ln2*z2*z5 + 93011625*z3*z5 + 
    29545875*ln2*z7)/4032000, H[-1, 0, -1, -1, 0, 1, -1, -1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 + 
    206640000*ln2^2*s6 - 51744000*ln2*s7a - 32928000*ln2*s7b - 
    211368675*s8a - 638232000*s8b - 225120000*s8c + 13440000*s8d - 
    37632000*li5half*ln2*z2 + 98784000*li4half*ln2^2*z2 + 4429600*ln2^6*z2 + 
    78960000*s6*z2 + 97238400*li4half*z2^2 - 16724400*ln2^4*z2^2 - 
    106276800*ln2^2*z2^3 - 34238688*z2^4 - 8064000*li5half*z3 - 
    251664000*li4half*ln2*z3 - 10418800*ln2^5*z3 + 99288000*ln2^3*z2*z3 + 
    230634600*ln2*z2^2*z3 - 48898500*ln2^2*z3^2 + 197137500*z2*z3^2 - 
    18228000*ln2^3*z5 + 756210000*ln2*z2*z5 - 258916875*z3*z5 - 
    397873875*ln2*z7)/18816000, H[-1, 0, -1, -1, 0, 0, 1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    11424000*ln2^2*s6 - 672000*ln2*s7a - 5376000*ln2*s7b + 20634075*s8a + 
    37968000*s8b + 28896000*s8c - 24192000*s8d - 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 352800*ln2^6*z2 + 43680000*s6*z2 + 
    9979200*li4half*z2^2 + 3355800*ln2^4*z2^2 - 3217200*ln2^2*z2^3 + 
    10816812*z2^4 + 64848000*li5half*z3 + 8232000*li4half*ln2*z3 - 
    197400*ln2^5*z3 - 9002000*ln2^3*z2*z3 - 5636400*ln2*z2^2*z3 - 
    126000*ln2^2*z3^2 - 24465000*z2*z3^2 + 3038000*ln2^3*z5 - 
    48993000*ln2*z2*z5 - 47714625*z3*z5 - 48609750*ln2*z7)/4704000, 
 H[-1, 0, -1, -1, 0, 0, 1, 0, 1] -> 
  (2304000*li4half^2 + 192000*li4half*ln2^4 + 4000*ln2^8 + 1152000*ln2*s7a + 
    1152000*ln2*s7b - 985275*s8a - 2304000*s8b - 2304000*s8c + 2304000*s8d - 
    1152000*li4half*ln2^2*z2 - 48000*ln2^6*z2 - 4464000*s6*z2 - 
    2102400*li4half*z2^2 + 56400*ln2^4*z2^2 + 784800*ln2^2*z2^3 - 
    905184*z2^4 - 4608000*li5half*z3 + 2016000*li4half*ln2*z3 + 
    122400*ln2^5*z3 - 888000*ln2^3*z2*z3 - 1717200*ln2*z2^2*z3 + 
    1764000*ln2^2*z3^2 + 1593000*z2*z3^2 + 3996000*ln2*z2*z5 + 
    6049125*z3*z5 + 10402875*ln2*z7)/288000, 
 H[-1, 0, -1, -1, 0, 0, 1, -1, 1] -> 
  (9878400*li4half^2 + 823200*li4half*ln2^4 + 17150*ln2^8 - 
    2822400*ln2^2*s6 + 7257600*ln2*s7a + 8668800*ln2*s7b - 6374025*s8a - 
    35658000*s8b - 8870400*s8c + 3225600*s8d - 705600*li4half*ln2^2*z2 - 
    29400*ln2^6*z2 - 3628800*s6*z2 - 8704080*li4half*z2^2 - 
    803670*ln2^4*z2^2 + 1498140*ln2^2*z2^3 - 3328596*z2^4 - 
    6451200*li5half*z3 + 19756800*li4half*ln2*z3 + 876960*ln2^5*z3 - 
    1772400*ln2^3*z2*z3 - 8678880*ln2*z2^2*z3 + 10319400*ln2^2*z3^2 + 
    7093800*z2*z3^2 - 911400*ln2^3*z5 + 9007425*ln2*z2*z5 + 14472675*z3*z5 + 
    69410250*ln2*z7)/1411200, H[-1, 0, -1, -1, 0, 0, 0, 1, 1] -> 
  (2688000*ln2^2*s6 - 5376000*ln2*s7a - 5376000*ln2*s7b - 2371425*s8a - 
    4368000*s8b + 5376000*s8c - 5376000*s8d + 15456000*s6*z2 + 
    4569600*li4half*z2^2 + 190400*ln2^4*z2^2 - 2217600*ln2^2*z2^3 + 
    2674412*z2^4 + 10752000*li5half*z3 - 89600*ln2^5*z3 + 
    896000*ln2^3*z2*z3 + 7476000*ln2*z2^2*z3 - 3360000*ln2^2*z3^2 - 
    3885000*z2*z3^2 - 2761500*ln2*z2*z5 - 17634750*z3*z5 - 39642750*ln2*z7)/
   4704000, H[-1, 0, -1, -1, 0, 0, 0, 0, 1] -> 
  (15225*s8a + 151200*s8b + 11084*z2^4 - 35280*ln2*z2^2*z3 + 16800*z2*z3^2 - 
    16800*ln2*z2*z5 - 69825*z3*z5 - 134400*ln2*z7)/33600, 
 H[-1, 0, -1, -1, 0, 0, 0, -1, 1] -> 
  (1075200*ln2*s7a + 1075200*ln2*s7b - 2106825*s8a + 4099200*s8b - 
    2150400*s8c + 2150400*s8d - 3830400*s6*z2 + 1417920*li4half*z2^2 + 
    59080*ln2^4*z2^2 - 112560*ln2^2*z2^3 - 161428*z2^4 - 4300800*li5half*z3 + 
    35840*ln2^5*z3 - 358400*ln2^3*z2*z3 + 35280*ln2*z2^2*z3 + 
    1646400*ln2^2*z3^2 + 1745100*z2*z3^2 + 705600*ln2*z2*z5 - 1589700*z3*z5 + 
    3261300*ln2*z7)/940800, H[-1, 0, -1, -1, 0, 0, -1, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    6384000*ln2^2*s6 - 12768000*ln2*s7a + 6048000*ln2*s7b - 4293975*s8a + 
    53424000*s8b - 6048000*s8c + 6048000*s8d + 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 823200*ln2^6*z2 - 2688000*s6*z2 - 
    4435200*li4half*z2^2 + 3931200*ln2^4*z2^2 + 10903200*ln2^2*z2^3 + 
    4773624*z2^4 - 28560000*li5half*z3 + 238000*ln2^5*z3 - 
    14728000*ln2^3*z2*z3 + 1894200*ln2*z2^2*z3 - 777000*ln2^2*z3^2 - 
    10458000*z2*z3^2 - 18228000*ln2^3*z5 - 80472000*ln2*z2*z5 + 
    20477625*z3*z5 - 12754875*ln2*z7)/9408000, 
 H[-1, 0, -1, -1, 0, 0, -1, 0, 1] -> 
  (20100*s8a - 52000*s8b - 8000*s6*z2 - 50400*li4half*z2^2 - 
    2100*ln2^4*z2^2 + 12600*ln2^2*z2^3 + 576*z2^4 - 44200*ln2*z2^2*z3 + 
    5750*z2*z3^2 + 36000*ln2*z2*z5 + 64875*z3*z5 + 67000*ln2*z7)/16000, 
 H[-1, 0, -1, -1, 0, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    18144000*ln2^2*s6 + 22176000*ln2*s7a + 3360000*ln2*s7b + 13444725*s8a + 
    102984000*s8b + 1344000*s8c + 26880000*s8d - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 - 67872000*s6*z2 - 15792000*li4half*z2^2 + 
    1106000*ln2^4*z2^2 + 10147200*ln2^2*z2^3 - 4942884*z2^4 - 
    53760000*li5half*z3 + 49392000*li4half*ln2*z3 + 2506000*ln2^5*z3 - 
    16828000*ln2^3*z2*z3 - 40378800*ln2*z2^2*z3 + 37086000*ln2^2*z3^2 - 
    7917000*z2*z3^2 + 18228000*ln2^3*z5 - 13314000*ln2*z2*z5 + 
    75568500*z3*z5 + 59721375*ln2*z7)/9408000, 
 H[-1, 0, -1, -1, 0, -1, 1, 1, 1] -> 
  (-6888000*ln2^2*s6 - 9408000*ln2*s7a + 14112000*ln2*s7b + 24950100*s8a + 
    76272000*s8b + 25536000*s8c - 25536000*s8d - 18816000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 725200*ln2^6*z2 + 54600000*s6*z2 - 
    4401600*li4half*z2^2 + 3540600*ln2^4*z2^2 + 2385600*ln2^2*z2^3 + 
    18449736*z2^4 + 60480000*li5half*z3 + 27048000*li4half*ln2*z3 + 
    623000*ln2^5*z3 - 20244000*ln2^3*z2*z3 - 20840400*ln2*z2^2*z3 + 
    2178750*ln2^2*z3^2 - 33888750*z2*z3^2 - 22785000*ln2^3*z5 - 
    138127500*ln2*z2*z5 - 47208000*z3*z5 + 1157625*ln2*z7)/9408000, 
 H[-1, 0, -1, -1, 0, -1, 1, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    7776000*ln2^2*s6 + 7776000*ln2*s7a + 7776000*ln2*s7b - 1919925*s8a - 
    32256000*s8b - 4032000*li4half*ln2^2*z2 - 168000*ln2^6*z2 + 
    1008000*s6*z2 - 12650400*li4half*z2^2 - 23100*ln2^4*z2^2 + 
    6467400*ln2^2*z2^3 - 1118178*z2^4 + 27216000*li4half*ln2*z3 + 
    1134000*ln2^5*z3 - 6804000*ln2^3*z2*z3 - 12189600*ln2*z2^2*z3 + 
    9720000*ln2^2*z3^2 + 1008000*z2*z3^2 - 18794250*ln2*z2*z5 + 
    18616500*z3*z5 + 81817875*ln2*z7)/2016000, 
 H[-1, 0, -1, -1, 0, -1, 1, -1, 1] -> 
  (49392000*li4half^2 + 4116000*li4half*ln2^4 + 85750*ln2^8 - 
    36624000*ln2^2*s6 + 35280000*ln2*s7a + 18816000*ln2*s7b - 221025*s8a - 
    70980000*s8b + 2688000*s8c - 2688000*s8d + 18816000*li5half*ln2*z2 - 
    24696000*li4half*ln2^2*z2 - 1185800*ln2^6*z2 + 5376000*s6*z2 - 
    42168000*li4half*z2^2 + 2898000*ln2^4*z2^2 + 20160000*ln2^2*z2^3 - 
    2540724*z2^4 - 4032000*li5half*z3 + 98784000*li4half*ln2*z3 + 
    4149600*ln2^5*z3 - 25032000*ln2^3*z2*z3 - 45427200*ln2*z2^2*z3 + 
    43722000*ln2^2*z3^2 - 1722000*z2*z3^2 + 15949500*ln2^3*z5 - 
    70061250*ln2*z2*z5 + 57130500*z3*z5 + 237166125*ln2*z7)/4704000, 
 H[-1, 0, -1, -1, 0, -1, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    37296000*ln2^2*s6 - 18144000*ln2*s7a - 18144000*ln2*s7b - 37425150*s8a - 
    114408000*s8b - 38304000*s8c + 38304000*s8d + 84672000*li5half*ln2*z2 + 
    70560000*li4half*ln2^2*z2 + 2234400*ln2^6*z2 - 76608000*s6*z2 + 
    8013600*li4half*z2^2 - 12014100*ln2^4*z2^2 - 4221000*ln2^2*z2^3 - 
    28904364*z2^4 - 126000000*li5half*z3 - 98784000*li4half*ln2*z3 - 
    3066000*ln2^5*z3 + 51240000*ln2^3*z2*z3 + 46443600*ln2*z2^2*z3 - 
    46620000*ln2^2*z3^2 + 54306000*z2*z3^2 + 181329750*ln2*z2*z5 + 
    80679375*z3*z5 - 55944000*ln2*z7)/14112000, 
 H[-1, 0, -1, -1, 0, -1, 0, 0, 1] -> 
  (639975*s8a + 10752000*s8b + 2116800*li4half*z2^2 + 88200*ln2^4*z2^2 - 
    529200*ln2^2*z2^3 + 695236*z2^4 - 344400*ln2*z2^2*z3 - 840000*z2*z3^2 - 
    1848000*ln2*z2*z5 - 4562250*z3*z5 - 11004000*ln2*z7)/672000, 
 H[-1, 0, -1, -1, 0, -1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    14112000*ln2^2*s6 - 12768000*ln2*s7a - 12768000*ln2*s7b + 221025*s8a + 
    70980000*s8b - 2688000*s8c + 2688000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 5376000*s6*z2 + 23469600*li4half*z2^2 - 
    786100*ln2^4*z2^2 - 8034600*ln2^2*z2^3 + 6633204*z2^4 - 
    5376000*li5half*z3 - 49392000*li4half*ln2*z3 - 2013200*ln2^5*z3 + 
    11900000*ln2^3*z2*z3 + 21491400*ln2*z2^2*z3 - 15582000*ln2^2*z3^2 + 
    1795500*z2*z3^2 + 34434750*ln2*z2*z5 - 47943000*z3*z5 - 194299875*ln2*z7)/
   4704000, H[-1, 0, -1, -1, 0, -1, -1, 1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    27888000*ln2^2*s6 - 22848000*ln2*s7a + 66528000*ln2*s7b + 36789900*s8a + 
    354144000*s8b + 30912000*s8c + 81984000*s8d + 131712000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1254400*ln2^6*z2 - 185136000*s6*z2 - 
    56985600*li4half*z2^2 - 14330400*ln2^4*z2^2 + 61622400*ln2^2*z2^3 - 
    1333896*z2^4 - 243936000*li5half*z3 + 4704000*li4half*ln2*z3 + 
    2228800*ln2^5*z3 + 15540000*ln2^3*z2*z3 - 98305200*ln2*z2^2*z3 - 
    52090500*ln2^2*z3^2 - 28843500*z2*z3^2 - 109368000*ln2^3*z5 - 
    407232000*ln2*z2*z5 + 234522750*z3*z5 + 379561875*ln2*z7)/18816000, 
 H[-1, 0, -1, -1, 0, -1, -1, 0, 1] -> 
  (25515*s8a + 147840*s8b - 6720*li4half*z2^2 - 280*ln2^4*z2^2 + 
    1680*ln2^2*z2^3 + 13564*z2^4 - 6160*ln2*z2^2*z3 - 33880*z2*z3^2 - 
    105420*ln2*z2*z5 + 25410*z3*z5 - 114240*ln2*z7)/17920, 
 H[-1, 0, -1, -1, 0, -1, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    47040000*ln2^2*s6 - 12096000*ln2*s7a - 82656000*ln2*s7b + 123839100*s8a + 
    736512000*s8b + 118272000*s8c + 22848000*s8d + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 116256000*s6*z2 + 
    27148800*li4half*z2^2 - 632800*ln2^4*z2^2 + 4015200*ln2^2*z2^3 + 
    46135536*z2^4 - 45696000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    1677200*ln2^5*z3 + 8540000*ln2^3*z2*z3 - 38337600*ln2*z2^2*z3 - 
    17346000*ln2^2*z3^2 - 111048000*z2*z3^2 + 91140000*ln2^3*z5 - 
    203889000*ln2*z2*z5 - 11056500*z3*z5 - 704400375*ln2*z7)/18816000, 
 H[-1, 0, -1, -1, -1, 1, 1, 1, 1] -> 
  (33868800*li4half^2 - 316108800*li8half + 169344000*li7half*ln2 + 
    5644800*li6half*ln2^2 - 5644800*li5half*ln2^3 + 940800*li4half*ln2^4 - 
    6160*ln2^8 - 54633600*ln2^2*s6 + 35884800*ln2*s7a - 31852800*ln2*s7b + 
    12461400*s8a - 216921600*s8b + 34675200*s8c - 60076800*s8d - 
    5644800*li6half*z2 + 33868800*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 
    564480*ln2^6*z2 + 134265600*s6*z2 - 24151680*li4half*z2^2 + 
    7378560*ln2^4*z2^2 + 45309600*ln2^2*z2^3 + 42851448*z2^4 + 
    80640000*li5half*z3 + 32457600*li4half*ln2*z3 + 515760*ln2^5*z3 - 
    18328800*ln2^3*z2*z3 - 11808720*ln2*z2^2*z3 + 45448200*ln2^2*z3^2 - 
    21331800*z2*z3^2 + 63798000*ln2^3*z5 - 36212400*ln2*z2*z5 + 
    24834600*z3*z5 - 338267475*ln2*z7)/11289600, 
 H[-1, 0, -1, -1, -1, 1, 1, 0, 1] -> 
  (33868800*li4half^2 + 1354752000*li8half + 135475200*li7half*ln2 + 
    2822400*li4half*ln2^4 + 65520*ln2^8 - 91123200*ln2^2*s6 + 
    27014400*ln2*s7a + 21369600*ln2*s7b + 211806000*s8a + 1679932800*s8b + 
    128217600*s8c + 154022400*s8d - 28224000*li6half*z2 + 
    11289600*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1685600*ln2^6*z2 - 
    459043200*s6*z2 - 12942720*li4half*z2^2 + 1765680*ln2^4*z2^2 - 
    4626720*ln2^2*z2^3 - 85180248*z2^4 - 288288000*li5half*z3 + 
    84672000*li4half*ln2*z3 + 5930400*ln2^5*z3 - 46838400*ln2^3*z2*z3 - 
    195824160*ln2*z2^2*z3 + 16972200*ln2^2*z3^2 - 150229800*z2*z3^2 + 
    5468400*ln2^3*z5 - 474415200*ln2*z2*z5 + 12952800*z3*z5 + 
    85319325*ln2*z7)/11289600, H[-1, 0, -1, -1, -1, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 98784000*li8half - 239904000*li7half*ln2 + 
    7056000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 138250*ln2^8 + 
    102816000*ln2^2*s6 - 38304000*ln2*s7a + 102816000*ln2*s7b - 
    146155275*s8a - 666036000*s8b - 129024000*s8c - 33264000*s8d - 
    14112000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 362600*ln2^6*z2 + 
    147672000*s6*z2 - 33465600*li4half*z2^2 - 9391200*ln2^4*z2^2 - 
    49870800*ln2^2*z2^3 - 27131724*z2^4 + 73584000*li5half*z3 + 
    72324000*li4half*ln2*z3 + 2606100*ln2^5*z3 + 9219000*ln2^3*z2*z3 + 
    52138800*ln2*z2^2*z3 - 31279500*ln2^2*z3^2 + 123228000*z2*z3^2 - 
    134431500*ln2^3*z5 + 77222250*ln2*z2*z5 - 150837750*z3*z5 + 
    936235125*ln2*z7)/14112000, H[-1, 0, -1, -1, -1, 1, 0, 1, 1] -> 
  (-112896000*li4half^2 - 903168000*li8half - 361267200*li7half*ln2 - 
    45158400*li6half*ln2^2 - 9408000*li4half*ln2^4 - 209440*ln2^8 + 
    168739200*ln2^2*s6 - 45158400*ln2*s7a + 14112000*ln2*s7b - 
    296248050*s8a - 1602518400*s8b - 233049600*s8c - 60480000*s8d + 
    11289600*li6half*z2 - 101606400*li5half*ln2*z2 + 
    16934400*li4half*ln2^2*z2 + 1630720*ln2^6*z2 + 283248000*s6*z2 + 
    77656320*li4half*z2^2 - 3349920*ln2^4*z2^2 - 71366400*ln2^2*z2^3 + 
    11667888*z2^4 + 180230400*li5half*z3 - 146764800*li4half*ln2*z3 - 
    7617120*ln2^5*z3 + 70644000*ln2^3*z2*z3 + 261515520*ln2*z2^2*z3 - 
    52560900*ln2^2*z3^2 + 243098100*z2*z3^2 - 57418200*ln2^3*z5 + 
    753568200*ln2*z2*z5 - 119501550*z3*z5 + 420085575*ln2*z7)/11289600, 
 H[-1, 0, -1, -1, -1, 1, 0, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    157248000*ln2^2*s6 + 56448000*ln2*s7a - 14112000*ln2*s7b + 
    384887475*s8a + 2154096000*s8b + 201600000*s8c + 278208000*s8d - 
    56448000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1607200*ln2^6*z2 - 785736000*s6*z2 + 
    60580800*li4half*z2^2 - 3943800*ln2^4*z2^2 + 63403200*ln2^2*z2^3 - 
    21324204*z2^4 - 584640000*li5half*z3 - 70560000*li4half*ln2*z3 + 
    1932000*ln2^5*z3 - 31080000*ln2^3*z2*z3 - 330535800*ln2*z2^2*z3 + 
    23688000*ln2^2*z3^2 - 292320000*z2*z3^2 + 68355000*ln2^3*z5 - 
    587601000*ln2*z2*z5 + 852208875*z3*z5 - 271931625*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, -1, 1, 0, -1, 1] -> 
  (-705600000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 - 
    58800000*li4half*ln2^4 - 1359400*ln2^8 - 961632000*ln2^2*s6 + 
    80640000*ln2*s7a - 441504000*ln2*s7b + 2861784450*s8a + 19734624000*s8b + 
    1761984000*s8c + 1991808000*s8d - 84672000*li6half*z2 - 
    225792000*li5half*ln2*z2 + 296352000*li4half*ln2^2*z2 + 
    15366400*ln2^6*z2 - 5804064000*s6*z2 + 974131200*li4half*z2^2 - 
    38438400*ln2^4*z2^2 - 4788000*ln2^2*z2^3 - 684702288*z2^4 - 
    3870720000*li5half*z3 - 1199520000*li4half*ln2*z3 - 17724000*ln2^5*z3 - 
    30912000*ln2^3*z2*z3 - 1847311200*ln2*z2^2*z3 - 177849000*ln2^2*z3^2 - 
    2082213000*z2*z3^2 + 505827000*ln2^3*z5 - 3982860000*ln2*z2*z5 + 
    2305311750*z3*z5 - 5024856375*ln2*z7)/56448000, 
 H[-1, 0, -1, -1, -1, 1, -1, 1, 1] -> 
  (-8064000*li4half^2 + 173376000*li8half + 16128000*li7half*ln2 + 
    12096000*li6half*ln2^2 + 31900*ln2^8 - 8496000*ln2^2*s6 + 
    7488000*ln2*s7a - 6624000*ln2*s7b + 13863150*s8a + 171864000*s8b + 
    12096000*s8c + 16128000*s8d - 12096000*li6half*z2 - 
    10080000*li5half*ln2*z2 - 6048000*li4half*ln2^2*z2 - 103600*ln2^6*z2 - 
    51408000*s6*z2 + 8668800*li4half*z2^2 - 537600*ln2^4*z2^2 - 
    8582400*ln2^2*z2^3 - 9505296*z2^4 - 25200000*li5half*z3 + 
    268800*ln2^5*z3 + 3948000*ln2^3*z2*z3 - 8528400*ln2*z2^2*z3 - 
    3933000*ln2^2*z3^2 - 2331000*z2*z3^2 + 13671000*ln2^3*z5 - 
    985500*ln2*z2*z5 - 47596500*z3*z5 - 27529875*ln2*z7)/4032000, 
 H[-1, 0, -1, -1, -1, 1, -1, 0, 1] -> 
  (98784000*li4half^2 - 4515840000*li8half - 451584000*li7half*ln2 + 
    8232000*li4half*ln2^4 + 149100*ln2^8 + 398160000*ln2^2*s6 + 
    2016000*ln2*s7a + 72576000*ln2*s7b - 999654075*s8a - 6560064000*s8b - 
    800352000*s8c - 399168000*s8d + 42336000*li6half*z2 - 
    84672000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 + 1136800*ln2^6*z2 + 
    1405152000*s6*z2 - 122169600*li4half*z2^2 + 5846400*ln2^4*z2^2 + 
    14011200*ln2^2*z2^3 + 213766848*z2^4 + 840672000*li5half*z3 - 
    119952000*li4half*ln2*z3 - 12003600*ln2^5*z3 + 104160000*ln2^3*z2*z3 + 
    761506200*ln2*z2^2*z3 + 90373500*ln2^2*z3^2 + 742045500*z2*z3^2 - 
    68355000*ln2^3*z5 + 2192053500*ln2*z2*z5 + 126984375*z3*z5 + 
    618360750*ln2*z7)/28224000, H[-1, 0, -1, -1, -1, 1, -1, -1, 1] -> 
  (-508032000*li4half^2 - 677376000*li8half - 338688000*li7half*ln2 - 
    254016000*li6half*ln2^2 - 51744000*li4half*ln2^4 - 1576400*ln2^8 + 
    182448000*ln2^2*s6 - 177408000*ln2*s7a - 106848000*ln2*s7b + 
    185081400*s8a + 2062368000*s8b - 24192000*s8c + 447552000*s8d - 
    282240000*li5half*ln2*z2 + 310464000*li4half*ln2^2*z2 + 
    14935200*ln2^6*z2 - 1106784000*s6*z2 + 495936000*li4half*z2^2 - 
    32726400*ln2^4*z2^2 - 100951200*ln2^2*z2^3 - 54485136*z2^4 - 
    753984000*li5half*z3 - 959616000*li4half*ln2*z3 - 34524000*ln2^5*z3 + 
    177072000*ln2^3*z2*z3 + 112341600*ln2*z2^2*z3 - 234234000*ln2^2*z3^2 - 
    90342000*z2*z3^2 - 68355000*ln2^3*z5 + 384237000*ln2*z2*z5 + 
    713349000*z3*z5 - 1140024375*ln2*z7)/56448000, 
 H[-1, 0, -1, -1, -1, 0, 1, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    93744000*ln2^2*s6 - 74592000*ln2*s7a + 66528000*ln2*s7b - 180165825*s8a - 
    657720000*s8b - 179424000*s8c + 38304000*s8d + 84672000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 + 64512000*s6*z2 - 
    48787200*li4half*z2^2 - 12616800*ln2^4*z2^2 + 100800*ln2^2*z2^3 - 
    41809032*z2^4 + 99792000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    2108400*ln2^5*z3 + 27720000*ln2^3*z2*z3 + 117973800*ln2*z2^2*z3 - 
    2961000*ln2^2*z3^2 + 91350000*z2*z3^2 - 91140000*ln2^3*z5 + 
    172620000*ln2*z2*z5 + 2842875*z3*z5 + 374857875*ln2*z7)/56448000, 
 H[-1, 0, -1, -1, -1, 0, 1, 0, 1] -> 
  (322560*li4half^2 + 26880*li4half*ln2^4 + 560*ln2^8 - 161280*ln2^2*s6 - 
    322560*ln2*s7a - 322560*ln2*s7b + 538335*s8a + 141120*s8b + 967680*s8c - 
    967680*s8d - 161280*li4half*ln2^2*z2 - 6720*ln2^6*z2 + 1733760*s6*z2 - 
    383040*li4half*z2^2 + 4200*ln2^4*z2^2 + 15120*ln2^2*z2^3 + 519720*z2^4 + 
    645120*li5half*z3 + 161280*li4half*ln2*z3 + 1344*ln2^5*z3 + 
    13440*ln2^3*z2*z3 - 385056*ln2*z2^2*z3 - 327600*ln2^2*z3^2 - 
    395640*z2*z3^2 - 1461600*ln2*z2*z5 - 1277325*z3*z5 - 2649465*ln2*z7)/
   161280, H[-1, 0, -1, -1, -1, 0, 1, -1, 1] -> 
  (95961600*li4half^2 + 7996800*li4half*ln2^4 + 166600*ln2^8 - 
    79833600*ln2^2*s6 + 10886400*ln2*s7a - 17337600*ln2*s7b + 125694450*s8a + 
    433036800*s8b + 137894400*s8c - 24998400*s8d + 67737600*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1152480*ln2^6*z2 - 6451200*s6*z2 - 
    77253120*li4half*z2^2 - 43680*ln2^4*z2^2 + 51276960*ln2^2*z2^3 + 
    46590336*z2^4 + 4838400*li5half*z3 + 129830400*li4half*ln2*z3 + 
    5369280*ln2^5*z3 - 32054400*ln2^3*z2*z3 - 118384560*ln2*z2^2*z3 + 
    10269000*ln2^2*z3^2 - 116562600*z2*z3^2 + 18228000*ln2^3*z5 - 
    390360600*ln2*z2*z5 + 66543750*z3*z5 - 196712775*ln2*z7)/11289600, 
 H[-1, 0, -1, -1, -1, 0, 0, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    23184000*ln2^2*s6 + 18144000*ln2*s7a + 18144000*ln2*s7b + 41757975*s8a + 
    121464000*s8b + 10080000*s8c - 10080000*s8d - 84672000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 50400000*s6*z2 + 
    51609600*li4half*z2^2 + 9206400*ln2^4*z2^2 - 9979200*ln2^2*z2^3 - 
    10443504*z2^4 + 182448000*li5half*z3 + 35280000*li4half*ln2*z3 - 
    50400*ln2^5*z3 - 30660000*ln2^3*z2*z3 + 7799400*ln2*z2^2*z3 + 
    32067000*ln2^2*z3^2 - 9765000*z2*z3^2 + 36855000*ln2*z2*z5 - 
    137127375*z3*z5 + 62393625*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, -1, 0, 0, 0, 1] -> 
  (-408975*s8a - 2268000*s8b - 352800*li4half*z2^2 - 14700*ln2^4*z2^2 + 
    88200*ln2^2*z2^3 - 104336*z2^4 + 189000*ln2*z2^2*z3 + 210000*z2*z3^2 + 
    336000*ln2*z2*z5 + 669375*z3*z5 + 2289000*ln2*z7)/336000, 
 H[-1, 0, -1, -1, -1, 0, 0, -1, 1] -> 
  (-9408000*ln2^2*s6 + 12768000*ln2*s7a + 12768000*ln2*s7b - 3414600*s8a - 
    79800000*s8b - 6720000*s8c + 6720000*s8d - 25200000*s6*z2 - 
    2184000*li4half*z2^2 - 91000*ln2^4*z2^2 + 2948400*ln2^2*z2^3 - 
    19078616*z2^4 + 14784000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    758800*ln2^5*z3 - 4060000*ln2^3*z2*z3 - 3528000*ln2*z2^2*z3 + 
    8673000*ln2^2*z3^2 + 8641500*z2*z3^2 + 8526000*ln2*z2*z5 + 
    46399500*z3*z5 + 231821625*ln2*z7)/9408000, 
 H[-1, 0, -1, -1, -1, 0, -1, 1, 1] -> 
  (-18144000*li4half^2 - 1512000*li4half*ln2^4 - 31500*ln2^8 + 
    4032000*ln2^2*s6 + 672000*ln2*s7a - 6048000*ln2*s7b + 1639050*s8a + 
    12264000*s8b - 2688000*s8c + 2688000*s8d - 16128000*li5half*ln2*z2 - 
    3024000*li4half*ln2^2*z2 + 8400*ln2^6*z2 - 8736000*s6*z2 + 
    12230400*li4half*z2^2 + 1055600*ln2^4*z2^2 - 5937600*ln2^2*z2^3 - 
    3314952*z2^4 + 8064000*li5half*z3 - 11760000*li4half*ln2*z3 - 
    557200*ln2^5*z3 + 84000*ln2^3*z2*z3 + 8190000*ln2*z2^2*z3 + 
    1869000*ln2^2*z3^2 - 105000*z2*z3^2 + 6510000*ln2^3*z5 + 
    40330500*ln2*z2*z5 - 3895500*z3*z5 - 37944375*ln2*z7)/1344000, 
 H[-1, 0, -1, -1, -1, 0, -1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 672000*ln2^2*s6 - 
    819525*s8a - 6132000*s8b + 1344000*s8c - 1344000*s8d - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 3528000*s6*z2 - 
    3040800*li4half*z2^2 + 125300*ln2^4*z2^2 + 726600*ln2^2*z2^3 + 
    1054916*z2^4 - 1344000*li5half*z3 + 4032000*li4half*ln2*z3 + 
    179200*ln2^5*z3 - 1120000*ln2^3*z2*z3 - 2398200*ln2*z2^2*z3 + 
    987000*ln2^2*z3^2 + 593250*z2*z3^2 - 2184000*ln2*z2*z5 - 1204875*z3*z5 + 
    4830000*ln2*z7)/672000, H[-1, 0, -1, -1, -1, 0, -1, -1, 1] -> 
  (21168000*li4half^2 + 1764000*li4half*ln2^4 + 36750*ln2^8 + 
    4872000*ln2^2*s6 + 4032000*ln2*s7a + 27552000*ln2*s7b - 30959775*s8a - 
    184128000*s8b - 29568000*s8c - 5712000*s8d - 10584000*li4half*ln2^2*z2 - 
    441000*ln2^6*z2 + 29064000*s6*z2 - 18076800*li4half*z2^2 + 
    569800*ln2^4*z2^2 + 3024000*ln2^2*z2^3 - 9275964*z2^4 + 
    13776000*li5half*z3 + 38808000*li4half*ln2*z3 + 1502200*ln2^5*z3 - 
    8554000*ln2^3*z2*z3 - 1730400*ln2*z2^2*z3 + 13718250*ln2^2*z3^2 + 
    27762000*z2*z3^2 - 22785000*ln2^3*z5 + 30555000*ln2*z2*z5 + 
    412125*z3*z5 + 212848125*ln2*z7)/4704000, 
 H[-1, 0, -1, -1, -1, -1, 1, 1, 1] -> 
  (-479808000*li8half + 141120000*li7half*ln2 + 42336000*li6half*ln2^2 + 
    23520000*li5half*ln2^3 + 3528000*li4half*ln2^4 - 30100*ln2^8 - 
    5040000*ln2^2*s6 + 1008000*ln2*s7a - 20160000*ln2*s7b + 1949850*s8a - 
    63000000*s8b - 6048000*s8c + 27216000*s8d - 42336000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 117600*ln2^6*z2 - 57960000*s6*z2 + 
    9676800*li4half*z2^2 + 3549000*ln2^4*z2^2 + 34574400*ln2^2*z2^3 + 
    28054476*z2^4 + 58464000*li5half*z3 - 10584000*li4half*ln2*z3 - 
    516600*ln2^5*z3 - 13650000*ln2^3*z2*z3 + 16014600*ln2*z2^2*z3 + 
    32539500*ln2^2*z3^2 - 34933500*z2*z3^2 + 20506500*ln2^3*z5 + 
    49360500*ln2*z2*z5 + 194213250*z3*z5 - 293115375*ln2*z7)/28224000, 
 H[-1, 0, -1, -1, -1, -1, 1, 0, 1] -> 
  (31046400*li4half^2 + 225792000*li8half + 22579200*li7half*ln2 + 
    2587200*li4half*ln2^4 + 55020*ln2^8 - 20160000*ln2^2*s6 - 
    201600*ln2*s7a + 4032000*ln2*s7b + 32252850*s8a + 130435200*s8b + 
    40723200*s8c - 23788800*s8d + 8467200*li6half*z2 + 
    22579200*li5half*ln2*z2 - 11289600*li4half*ln2^2*z2 - 709520*ln2^6*z2 + 
    40521600*s6*z2 - 32135040*li4half*z2^2 + 436800*ln2^4*z2^2 + 
    3366720*ln2^2*z2^3 + 1849212*z2^4 + 15120000*li5half*z3 + 
    62798400*li4half*ln2*z3 + 2490600*ln2^5*z3 - 13616400*ln2^3*z2*z3 - 
    40088160*ln2*z2^2*z3 + 2047500*ln2^2*z3^2 - 25294500*z2*z3^2 - 
    4101300*ln2^3*z5 - 134234100*ln2*z2*z5 - 77121450*z3*z5 + 
    24886575*ln2*z7)/5644800, H[-1, 0, -1, -1, -1, -1, 1, -1, 1] -> 
  (127008000*li4half^2 - 28224000*li8half - 42336000*li7half*ln2 - 
    11760000*li5half*ln2^3 + 8820000*li4half*ln2^4 + 252700*ln2^8 - 
    30240000*ln2^2*s6 + 27216000*ln2*s7a + 20160000*ln2*s7b - 46270350*s8a - 
    515592000*s8b + 6048000*s8c - 111888000*s8d + 70560000*li5half*ln2*z2 - 
    63504000*li4half*ln2^2*z2 - 3047800*ln2^6*z2 + 276696000*s6*z2 - 
    123984000*li4half*z2^2 + 6535200*ln2^4*z2^2 + 26913600*ln2^2*z2^3 + 
    40716324*z2^4 + 188496000*li5half*z3 + 232848000*li4half*ln2*z3 + 
    7925400*ln2^5*z3 - 42504000*ln2^3*z2*z3 - 24481800*ln2*z2^2*z3 + 
    54778500*ln2^2*z3^2 + 22585500*z2*z3^2 + 6835500*ln2^3*z5 - 
    77143500*ln2*z2*z5 - 178337250*z3*z5 + 167650875*ln2*z7)/14112000, 
 H[-1, 0, -1, -1, -1, -1, 0, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 3024000*ln2^2*s6 + 
    2016000*ln2*s7a + 2016000*ln2*s7b - 6185025*s8a + 2520000*s8b - 
    10080000*s8c + 10080000*s8d + 40320000*li6half*z2 + 
    44352000*li5half*ln2*z2 + 22176000*li4half*ln2^2*z2 + 610400*ln2^6*z2 - 
    20160000*s6*z2 + 3427200*li4half*z2^2 - 2797200*ln2^4*z2^2 - 
    252000*ln2^2*z2^3 - 11768184*z2^4 - 47376000*li5half*z3 - 
    29232000*li4half*ln2*z3 - 823200*ln2^5*z3 + 11004000*ln2^3*z2*z3 + 
    3439800*ln2*z2^2*z3 - 8190000*ln2^2*z3^2 + 14175000*z2*z3^2 + 
    20916000*ln2*z2*z5 + 13143375*z3*z5 + 9694125*ln2*z7)/8064000, 
 H[-1, 0, -1, -1, -1, -1, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 336000*ln2^2*s6 - 
    229425*s8a + 1680000*s8b - 672000*s8c + 672000*s8d + 
    1008000*li4half*ln2^2*z2 + 42000*ln2^6*z2 - 1344000*s6*z2 + 
    1646400*li4half*z2^2 - 57400*ln2^4*z2^2 - 394800*ln2^2*z2^3 - 
    597168*z2^4 + 672000*li5half*z3 - 2016000*li4half*ln2*z3 - 
    89600*ln2^5*z3 + 560000*ln2^3*z2*z3 + 1272600*ln2*z2^2*z3 - 
    493500*ln2^2*z3^2 - 325500*z2*z3^2 + 1344000*ln2*z2*z5 + 1099875*z3*z5 - 
    1344000*ln2*z7)/672000, H[-1, 0, -1, -1, -1, -1, 0, -1, 1] -> 
  (-7257600*li4half^2 - 604800*li4half*ln2^4 - 12600*ln2^8 + 
    2016000*ln2^2*s6 - 2016000*ln2*s7a - 2016000*ln2*s7b + 
    4032000*li6half*z2 + 3225600*li5half*ln2*z2 + 4838400*li4half*ln2^2*z2 + 
    180320*ln2^6*z2 + 5806080*li4half*z2^2 - 329280*ln2^4*z2^2 - 
    1804320*ln2^2*z2^3 - 2082816*z2^4 - 1612800*li5half*z3 - 
    13910400*li4half*ln2*z3 - 566160*ln2^5*z3 + 3578400*ln2^3*z2*z3 + 
    5322240*ln2*z2^2*z3 - 5342400*ln2^2*z3^2 + 2696400*ln2*z2*z5 + 
    1612800*z3*z5 - 5189625*ln2*z7)/1612800, 
 H[-1, 0, -1, -1, -1, -1, -1, 1, 1] -> 
  (-1209600*li4half^2 + 806400*li8half - 1612800*li7half*ln2 - 
    1209600*li6half*ln2^2 - 268800*li5half*ln2^3 - 151200*li4half*ln2^4 - 
    3300*ln2^8 + 201600*ln2^2*s6 - 201600*ln2*s7a + 633150*s8a + 
    7257600*s8b + 1209600*s8d + 1209600*li6half*z2 - 201600*li5half*ln2*z2 + 
    604800*li4half*ln2^2*z2 + 31640*ln2^6*z2 - 3024000*s6*z2 + 
    1209600*li4half*z2^2 - 63000*ln2^4*z2^2 - 429120*ln2^2*z2^3 - 
    497448*z2^4 - 2116800*li5half*z3 - 2167200*li4half*ln2*z3 - 
    78540*ln2^5*z3 + 365400*ln2^3*z2*z3 + 10080*ln2*z2^2*z3 - 
    560700*ln2^2*z3^2 - 302400*z2*z3^2 - 195300*ln2^3*z5 - 6300*ln2*z2*z5 + 
    973350*z3*z5 + 193725*ln2*z7)/403200, 
 H[-1, 0, -1, -1, -1, -1, -1, 0, 1] -> 
  (6048000*li4half^2 + 504000*li4half*ln2^4 + 10500*ln2^8 - 
    1008000*ln2^2*s6 + 288225*s8a - 12600000*s8b + 2016000*s8c - 
    2016000*s8d - 10080000*li6half*z2 - 8064000*li5half*ln2*z2 - 
    6048000*li4half*ln2^2*z2 - 198800*ln2^6*z2 + 4032000*s6*z2 - 
    5241600*li4half*z2^2 + 453600*ln2^4*z2^2 + 1260000*ln2^2*z2^3 + 
    2109096*z2^4 + 6048000*li5half*z3 + 12096000*li4half*ln2*z3 + 
    453600*ln2^5*z3 - 3108000*ln2^3*z2*z3 - 3439800*ln2*z2^2*z3 + 
    3244500*ln2^2*z3^2 - 1291500*z2*z3^2 - 4032000*ln2*z2*z5 + 
    3299625*z3*z5 + 16128000*ln2*z7)/4032000, 
 H[-1, 0, -1, -1, -1, -1, -1, -1, 1] -> 
  (1411200*li8half + 1209600*li7half*ln2 + 504000*li6half*ln2^2 + 
    134400*li5half*ln2^3 + 25200*li4half*ln2^4 + 425*ln2^8 - 1540*ln2^6*z2 - 
    193536*z2^4 + 2940*ln2^5*z3 + 201600*ln2*z7)/201600, 
 H[-1, -1, 1, 1, 1, 1, 1, 1, 1] -> (1612800*li8half + 403200*li7half*ln2 - 
    30*ln2^8 + 105525*s8a + 1209600*s8b + 201600*s8d + 560*ln2^6*z2 - 
    504000*s6*z2 + 40320*li4half*z2^2 + 2520*ln2^4*z2^2 - 10080*ln2^2*z2^3 - 
    138204*z2^4 - 403200*li5half*z3 - 50400*z2*z3^2 - 67200*ln2^3*z5 + 
    201600*ln2*z2*z5 - 190575*z3*z5 - 403200*ln2*z7)/403200, 
 H[-1, -1, 1, 1, 1, 1, 1, 0, 1] -> 
  (112896000*li8half - 28224000*li7half*ln2 - 14112000*li6half*ln2^2 - 
    11200*ln2^8 + 18144000*ln2^2*s6 - 28224000*ln2*s7a + 18744075*s8a + 
    17136000*s8b + 20160000*s8c - 27216000*s8d - 14112000*li6half*z2 + 
    98000*ln2^6*z2 + 57960000*s6*z2 - 5443200*li4half*z2^2 - 
    961800*ln2^4*z2^2 - 11642400*ln2^2*z2^3 - 3821148*z2^4 + 
    54432000*li5half*z3 - 688800*ln2^5*z3 + 2184000*ln2^3*z2*z3 - 
    3956400*ln2*z2^2*z3 - 24003000*ln2^2*z3^2 - 25263000*z2*z3^2 - 
    32046000*ln2^3*z5 - 75474000*ln2*z2*z5 - 6953625*z3*z5 + 55345500*ln2*z7)/
   28224000, H[-1, -1, 1, 1, 1, 1, 1, -1, 1] -> 
  (-20160000*li8half - 8064000*li7half*ln2 - 2016000*li6half*ln2^2 - 
    672000*li5half*ln2^3 - 168000*li4half*ln2^4 - 3200*ln2^8 + 
    1008000*ln2^2*s6 - 2016000*ln2*s7a - 2016000*ln2*s7b + 691425*s8a - 
    24696000*s8b + 2016000*s8c - 4032000*s8d + 8400*ln2^6*z2 + 
    9072000*s6*z2 - 1008000*li4half*z2^2 - 50400*ln2^4*z2^2 - 
    151200*ln2^2*z2^3 + 491688*z2^4 + 8568000*li5half*z3 + 
    504000*li4half*ln2*z3 - 46200*ln2^5*z3 + 252000*ln2^3*z2*z3 + 
    819000*ln2*z2^2*z3 - 1039500*ln2^2*z3^2 - 2551500*z2*z3^2 + 
    672000*ln2^3*z5 - 2142000*ln2*z2*z5 + 10985625*z3*z5 + 14970375*ln2*z7)/
   4032000, H[-1, -1, 1, 1, 1, 1, 0, 1, 1] -> 
  (-169344000*li8half - 14112000*li7half*ln2 + 14112000*li6half*ln2^2 + 
    2352000*li5half*ln2^3 - 1400*ln2^8 - 38304000*ln2^2*s6 + 
    35280000*ln2*s7a + 19548900*s8a + 160020000*s8b + 13104000*s8c + 
    32760000*s8d + 49392000*li6half*z2 + 14112000*li5half*ln2*z2 - 
    68600*ln2^6*z2 - 84924000*s6*z2 + 6552000*li4half*z2^2 + 
    464100*ln2^4*z2^2 + 14490000*ln2^2*z2^3 + 8503794*z2^4 - 
    76104000*li5half*z3 + 869400*ln2^5*z3 - 8694000*ln2^3*z2*z3 - 
    32841900*ln2*z2^2*z3 + 23735250*ln2^2*z3^2 - 10158750*z2*z3^2 + 
    43585500*ln2^3*z5 - 52321500*ln2*z2*z5 + 66197250*z3*z5 - 
    19789875*ln2*z7)/14112000, H[-1, -1, 1, 1, 1, 1, 0, 0, 1] -> 
  (-248371200*li8half - 90316800*li7half*ln2 - 11289600*li6half*ln2^2 - 
    3920*ln2^8 + 56246400*ln2^2*s6 - 28224000*ln2*s7a - 91109025*s8a - 
    639777600*s8b - 50400000*s8c - 73785600*s8d + 5644800*li5half*ln2*z2 - 
    15680*ln2^6*z2 + 215308800*s6*z2 - 14757120*li4half*z2^2 + 
    208320*ln2^4*z2^2 - 13638240*ln2^2*z2^3 + 21587256*z2^4 + 
    154627200*li5half*z3 - 1382640*ln2^5*z3 + 11944800*ln2^3*z2*z3 + 
    91599480*ln2*z2^2*z3 - 23253300*ln2^2*z3^2 + 56277900*z2*z3^2 - 
    31105200*ln2^3*z5 + 144673200*ln2*z2*z5 - 109794825*z3*z5 + 
    83304900*ln2*z7)/11289600, H[-1, -1, 1, 1, 1, 1, 0, -1, 1] -> 
  (7056000*li4half^2 - 108192000*li8half - 32928000*li7half*ln2 - 
    4704000*li6half*ln2^2 - 784000*li5half*ln2^3 + 588000*li4half*ln2^4 + 
    16100*ln2^8 + 5040000*ln2^2*s6 - 2184000*ln2*s7a + 3696000*ln2*s7b - 
    20971650*s8a - 162204000*s8b - 8064000*s8c - 21336000*s8d + 
    4704000*li6half*z2 + 2352000*li5half*ln2*z2 - 3528000*li4half*ln2^2*z2 - 
    186200*ln2^6*z2 + 58548000*s6*z2 - 9676800*li4half*z2^2 + 
    371000*ln2^4*z2^2 + 1209600*ln2^2*z2^3 + 12280476*z2^4 + 
    42084000*li5half*z3 + 12348000*li4half*ln2*z3 + 222600*ln2^5*z3 + 
    28000*ln2^3*z2*z3 + 15531600*ln2*z2^2*z3 - 2753625*ln2^2*z3^2 + 
    12516000*z2*z3^2 - 5034750*ln2^3*z5 + 10799250*ln2*z2*z5 - 
    28415625*z3*z5 + 33807375*ln2*z7)/4704000, 
 H[-1, -1, 1, 1, 1, 1, -1, 1, 1] -> 
  (24192000*li8half + 40320000*li7half*ln2 + 20160000*li6half*ln2^2 + 
    5376000*li5half*ln2^3 + 1008000*li4half*ln2^4 + 17600*ln2^8 - 
    4032000*ln2^2*s6 + 10080000*ln2*s7a + 10080000*ln2*s7b - 11084850*s8a + 
    21168000*s8b - 12096000*s8c + 8064000*s8d - 72800*ln2^6*z2 - 
    14112000*s6*z2 + 2822400*li4half*z2^2 + 100800*ln2^4*z2^2 + 
    1360800*ln2^2*z2^3 + 1029024*z2^4 - 20160000*li5half*z3 - 
    3024000*li4half*ln2*z3 + 226800*ln2^5*z3 - 1596000*ln2^3*z2*z3 - 
    3049200*ln2*z2^2*z3 + 7245000*ln2^2*z3^2 + 15813000*z2*z3^2 + 
    1344000*ln2^3*z5 + 6678000*ln2*z2*z5 - 37973250*z3*z5 - 14371875*ln2*z7)/
   8064000, H[-1, -1, 1, 1, 1, 1, -1, 0, 1] -> 
  (-3763200*li4half^2 - 26342400*li8half - 7526400*li7half*ln2 - 
    3763200*li6half*ln2^2 - 1881600*li5half*ln2^3 - 784000*li4half*ln2^4 - 
    14840*ln2^8 + 1814400*ln2^2*s6 - 4704000*ln2*s7a - 10348800*ln2*s7b + 
    5270475*s8a - 13339200*s8b + 7660800*s8c - 4838400*s8d - 
    1881600*li5half*ln2*z2 + 940800*li4half*ln2^2*z2 + 78400*ln2^6*z2 + 
    8265600*s6*z2 + 1760640*li4half*z2^2 + 53760*ln2^4*z2^2 - 
    399840*ln2^2*z2^3 + 1202184*z2^4 + 11558400*li5half*z3 - 
    4704000*li4half*ln2*z3 - 343280*ln2^5*z3 + 2178400*ln2^3*z2*z3 + 
    6613320*ln2*z2^2*z3 - 4149600*ln2^2*z3^2 - 7744800*z2*z3^2 + 
    5488000*ln2^3*z5 + 9475200*ln2*z2*z5 + 15138375*z3*z5 - 40810875*ln2*z7)/
   3763200, H[-1, -1, 1, 1, 1, 1, -1, -1, 1] -> 
  (-3225600*li7half*ln2 - 1612800*li6half*ln2^2 - 268800*li5half*ln2^3 + 
    680*ln2^8 - 403200*ln2*s7a + 403200*ln2*s7b - 2240*ln2^6*z2 + 
    3360*ln2^4*z2^2 - 90720*ln2^2*z2^3 - 2016*z2^4 + 201600*li5half*z3 - 
    3360*ln2^5*z3 + 151200*ln2^3*z2*z3 + 231840*ln2*z2^2*z3 - 
    705600*ln2^2*z3^2 - 100800*z2*z3^2 - 789600*ln2^3*z5 - 
    1209600*ln2*z2*z5 + 6300*z3*z5 + 4137525*ln2*z7)/1612800, 
 H[-1, -1, 1, 1, 1, 0, 1, 1, 1] -> 
  (-5644800*li4half^2 - 11289600*li7half*ln2 - 5644800*li6half*ln2^2 - 
    1881600*li5half*ln2^3 - 940800*li4half*ln2^4 - 19320*ln2^8 + 
    55641600*ln2^2*s6 - 29030400*ln2*s7a + 10483200*ln2*s7b - 77107275*s8a - 
    429508800*s8b - 50400000*s8c - 42739200*s8d - 50803200*li6half*z2 - 
    16934400*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 219520*ln2^6*z2 + 
    130636800*s6*z2 - 7701120*li4half*z2^2 - 1085280*ln2^4*z2^2 - 
    15251040*ln2^2*z2^3 + 133488*z2^4 + 132048000*li5half*z3 + 
    2822400*li4half*ln2*z3 - 1076880*ln2^5*z3 + 10298400*ln2^3*z2*z3 + 
    69463800*ln2*z2^2*z3 - 19145700*ln2^2*z3^2 + 45517500*z2*z3^2 - 
    47745600*ln2^3*z5 + 113702400*ln2*z2*z5 - 95925375*z3*z5 + 
    140404950*ln2*z7)/11289600, H[-1, -1, 1, 1, 1, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 1128960000*li8half + 677376000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 4704000*li4half*ln2^4 + 148400*ln2^8 - 
    331632000*ln2^2*s6 + 219744000*ln2*s7a + 78624000*ln2*s7b + 
    402768450*s8a + 3068352000*s8b + 96768000*s8c + 453600000*s8d + 
    84672000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1724800*ln2^6*z2 - 1238832000*s6*z2 + 
    68140800*li4half*z2^2 + 8778000*ln2^4*z2^2 + 110762400*ln2^2*z2^3 - 
    145671768*z2^4 - 1161216000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    10323600*ln2^5*z3 - 85596000*ln2^3*z2*z3 - 503798400*ln2*z2^2*z3 + 
    224910000*ln2^2*z3^2 - 129024000*z2*z3^2 + 188454000*ln2^3*z5 - 
    376614000*ln2*z2*z5 + 680888250*z3*z5 - 479548125*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 1, 0, 1, -1, 1] -> 
  (-112896000*li4half^2 + 3753792000*li8half + 931392000*li7half*ln2 + 
    14112000*li6half*ln2^2 + 4704000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 
    62300*ln2^8 - 430920000*ln2^2*s6 + 78624000*ln2*s7a - 133056000*ln2*s7b + 
    1023209775*s8a + 7066080000*s8b + 626976000*s8c + 678384000*s8d + 
    84672000*li5half*ln2*z2 + 98784000*li4half*ln2^2*z2 + 2959600*ln2^6*z2 - 
    2009448000*s6*z2 + 233049600*li4half*z2^2 - 5224800*ln2^4*z2^2 + 
    46519200*ln2^2*z2^3 - 269267616*z2^4 - 1420272000*li5half*z3 - 
    268128000*li4half*ln2*z3 + 487200*ln2^5*z3 - 30156000*ln2^3*z2*z3 - 
    740010600*ln2*z2^2*z3 + 12096000*ln2^2*z3^2 - 713884500*z2*z3^2 + 
    194554500*ln2^3*z5 - 1468467000*ln2*z2*z5 + 682825500*z3*z5 - 
    1900780875*ln2*z7)/28224000, H[-1, -1, 1, 1, 1, 0, 0, 1, 1] -> 
  (-18816000*li4half^2 + 564480000*li8half + 263424000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 6272000*li5half*ln2^3 - 1568000*li4half*ln2^4 - 
    44800*ln2^8 - 109872000*ln2^2*s6 + 59808000*ln2*s7a - 43680000*ln2*s7b + 
    173821725*s8a + 1206072000*s8b + 128352000*s8c + 106848000*s8d + 
    75264000*li6half*z2 + 18816000*li5half*ln2*z2 - 310128000*s6*z2 + 
    31248000*li4half*z2^2 + 2007600*ln2^4*z2^2 + 15142400*ln2^2*z2^3 - 
    38047704*z2^4 - 211344000*li5half*z3 - 2352000*li4half*ln2*z3 + 
    1506400*ln2^5*z3 - 20160000*ln2^3*z2*z3 - 140779800*ln2*z2^2*z3 + 
    39070500*ln2^2*z3^2 - 127207500*z2*z3^2 + 104860000*ln2^3*z5 - 
    235872000*ln2*z2*z5 + 51662625*z3*z5 - 474219375*ln2*z7)/18816000, 
 H[-1, -1, 1, 1, 1, 0, 0, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 + 1512000*ln2^2*s6 + 
    1008000*ln2*s7a - 1904175*s8a - 18144000*s8b - 2016000*s8c - 
    1008000*s8d + 6048000*li6half*z2 + 2016000*li5half*ln2*z2 - 
    1008000*li4half*ln2^2*z2 - 50400*ln2^6*z2 + 6552000*s6*z2 - 
    2419200*li4half*z2^2 + 96600*ln2^4*z2^2 - 835200*ln2^2*z2^3 - 
    2397528*z2^4 + 3024000*li5half*z3 + 2016000*li4half*ln2*z3 + 
    58800*ln2^5*z3 - 420000*ln2^3*z2*z3 + 1020600*ln2*z2^2*z3 + 
    661500*ln2^2*z3^2 - 220500*z2*z3^2 + 304500*ln2^3*z5 + 
    5040000*ln2*z2*z5 + 7087500*z3*z5 + 12938625*ln2*z7)/2016000, 
 H[-1, -1, 1, 1, 1, 0, 0, -1, 1] -> 
  (254016000*li4half^2 - 1580544000*li8half - 790272000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 480200*ln2^8 + 455616000*ln2^2*s6 - 
    34272000*ln2*s7a + 501984000*ln2*s7b - 1194829650*s8a - 6708240000*s8b - 
    927360000*s8c - 497952000*s8d + 141120000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 141120000*li4half*ln2^2*z2 - 6154400*ln2^6*z2 + 
    1757952000*s6*z2 - 304214400*li4half*z2^2 + 6434400*ln2^4*z2^2 - 
    115533600*ln2^2*z2^3 + 3229416*z2^4 + 1038240000*li5half*z3 + 
    500976000*li4half*ln2*z3 + 12692400*ln2^5*z3 - 43428000*ln2^3*z2*z3 + 
    552938400*ln2*z2^2*z3 + 112707000*ln2^2*z3^2 + 926604000*z2*z3^2 - 
    515088000*ln2^3*z5 + 1317204000*ln2*z2*z5 - 1019229750*z3*z5 + 
    4347086625*ln2*z7)/56448000, H[-1, -1, 1, 1, 1, 0, -1, 1, 1] -> 
  (-11289600*li4half^2 - 671731200*li8half - 158054400*li7half*ln2 + 
    2822400*li6half*ln2^2 + 940800*li5half*ln2^3 - 1646400*li4half*ln2^4 - 
    38220*ln2^8 + 82756800*ln2^2*s6 - 25804800*ln2*s7a + 10886400*ln2*s7b - 
    174689550*s8a - 1194379200*s8b - 101203200*s8c - 120355200*s8d + 
    16934400*li6half*z2 - 8467200*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 + 
    50960*ln2^6*z2 + 358545600*s6*z2 - 17861760*li4half*z2^2 + 
    514080*ln2^4*z2^2 - 12862080*ln2^2*z2^3 + 49512132*z2^4 + 
    249177600*li5half*z3 - 3528000*li4half*ln2*z3 - 2258760*ln2^5*z3 + 
    17413200*ln2^3*z2*z3 + 146575800*ln2*z2^2*z3 - 22919400*ln2^2*z3^2 + 
    120399300*z2*z3^2 - 37646700*ln2^3*z5 + 270219600*ln2*z2*z5 - 
    147456225*z3*z5 + 194652675*ln2*z7)/5644800, 
 H[-1, -1, 1, 1, 1, 0, -1, 0, 1] -> (403200*li4half^2 + 2688000*li8half + 
    1612800*li7half*ln2 + 268800*li6half*ln2^2 + 33600*li4half*ln2^4 + 
    820*ln2^8 - 806400*ln2^2*s6 + 772800*ln2*s7a + 134400*ln2*s7b + 
    954975*s8a + 6686400*s8b + 201600*s8c + 1142400*s8d + 336000*li6half*z2 + 
    67200*li5half*ln2*z2 - 168000*li4half*ln2^2*z2 - 7840*ln2^6*z2 - 
    2906400*s6*z2 - 73920*li4half*z2^2 + 20020*ln2^4*z2^2 + 
    277600*ln2^2*z2^3 - 503748*z2^4 - 2503200*li5half*z3 + 
    487200*li4half*ln2*z3 + 42840*ln2^5*z3 - 313600*ln2^3*z2*z3 - 
    1267980*ln2*z2^2*z3 + 779625*ln2^2*z3^2 - 575925*z2*z3^2 + 
    647150*ln2^3*z5 - 988050*ln2*z2*z5 + 2710050*z3*z5 + 202650*ln2*z7)/
   134400, H[-1, -1, 1, 1, 1, 0, -1, -1, 1] -> 
  (169344000*li4half^2 - 903168000*li8half - 225792000*li7half*ln2 - 
    28224000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 11760000*li4half*ln2^4 + 
    257600*ln2^8 + 268128000*ln2^2*s6 + 44352000*ln2*s7a + 
    241920000*ln2*s7b - 727478325*s8a - 3907512000*s8b - 610848000*s8c - 
    221760000*s8d - 84672000*li4half*ln2^2*z2 - 3449600*ln2^6*z2 + 
    859824000*s6*z2 - 179827200*li4half*z2^2 + 5913600*ln2^4*z2^2 - 
    51055200*ln2^2*z2^3 - 20037312*z2^4 + 457632000*li5half*z3 + 
    310464000*li4half*ln2*z3 + 8652000*ln2^5*z3 - 39480000*ln2^3*z2*z3 + 
    309493800*ln2*z2^2*z3 + 180810000*ln2^2*z3^2 + 595948500*z2*z3^2 - 
    184044000*ln2^3*z5 + 1115730000*ln2*z2*z5 - 443071125*z3*z5 + 
    2156127750*ln2*z7)/56448000, H[-1, -1, 1, 1, 1, -1, 1, 1, 1] -> 
  (-1411200000*li8half - 903168000*li7half*ln2 - 282240000*li6half*ln2^2 - 
    56448000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 72800*ln2^8 + 
    220752000*ln2^2*s6 - 116928000*ln2*s7a + 24192000*ln2*s7b - 
    377667675*s8a - 2605176000*s8b - 207648000*s8c - 243936000*s8d + 
    156800*ln2^6*z2 + 713664000*s6*z2 - 57254400*li4half*z2^2 - 
    2503200*ln2^4*z2^2 - 67048800*ln2^2*z2^3 + 68551512*z2^4 + 
    530208000*li5half*z3 + 21168000*li4half*ln2*z3 - 3477600*ln2^5*z3 + 
    34188000*ln2^3*z2*z3 + 295785000*ln2*z2^2*z3 - 64039500*ln2^2*z3^2 + 
    193000500*z2*z3^2 - 127302000*ln2^3*z5 + 406350000*ln2*z2*z5 + 
    28972125*z3*z5 + 1421847000*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 1, -1, 1, 0, 1] -> (84672000*li4half^2 + 310464000*li8half + 
    366912000*li7half*ln2 + 141120000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 + 10584000*li4half*ln2^4 + 189700*ln2^8 - 
    132552000*ln2^2*s6 + 142128000*ln2*s7a - 20160000*ln2*s7b + 
    157874850*s8a + 992376000*s8b + 58464000*s8c + 139104000*s8d + 
    84672000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 1411200*ln2^6*z2 - 341712000*s6*z2 - 
    42033600*li4half*z2^2 + 2217600*ln2^4*z2^2 + 56120400*ln2^2*z2^3 - 
    33198924*z2^4 - 313488000*li5half*z3 + 127008000*li4half*ln2*z3 + 
    8139600*ln2^5*z3 - 51408000*ln2^3*z2*z3 - 193120200*ln2*z2^2*z3 + 
    139230000*ln2^2*z3^2 - 85743000*z2*z3^2 + 155085000*ln2^3*z5 - 
    96988500*ln2*z2*z5 + 227406375*z3*z5 - 563944500*ln2*z7)/28224000, 
 H[-1, -1, 1, 1, 1, -1, 1, -1, 1] -> 
  (1241856000*li8half + 733824000*li7half*ln2 + 197568000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 - 74200*ln2^8 - 221760000*ln2^2*s6 + 
    118944000*ln2*s7a - 149184000*ln2*s7b + 490169925*s8a + 3091032000*s8b + 
    332640000*s8c + 245952000*s8d + 431200*ln2^6*z2 - 781200000*s6*z2 + 
    49190400*li4half*z2^2 + 2167200*ln2^4*z2^2 + 69468000*ln2^2*z2^3 - 
    33720552*z2^4 - 513072000*li5half*z3 + 2982000*ln2^5*z3 - 
    38052000*ln2^3*z2*z3 - 336735000*ln2*z2^2*z3 + 74560500*ln2^2*z3^2 - 
    350689500*z2*z3^2 + 209328000*ln2^3*z5 - 410193000*ln2*z2*z5 + 
    214774875*z3*z5 - 2121855750*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 1, -1, 0, 1, 1] -> 
  (846720000*li8half + 225792000*li7half*ln2 + 28224000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 152600*ln2^8 + 
    102816000*ln2^2*s6 - 40320000*ln2*s7a + 368928000*ln2*s7b - 
    439625025*s8a - 1230264000*s8b - 421344000*s8c - 30240000*s8d - 
    254016000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1097600*ln2^6*z2 + 131040000*s6*z2 - 
    1814400*li4half*z2^2 + 2688000*ln2^4*z2^2 - 43898400*ln2^2*z2^3 - 
    39459864*z2^4 + 116928000*li5half*z3 + 14112000*li4half*ln2*z3 - 
    92400*ln2^5*z3 + 7392000*ln2^3*z2*z3 + 154009800*ln2*z2^2*z3 - 
    25767000*ln2^2*z3^2 + 538272000*z2*z3^2 - 347508000*ln2^3*z5 + 
    497385000*ln2*z2*z5 - 1139583375*z3*z5 + 1425666375*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 1, -1, 0, 0, 1] -> 
  (-112896000*li4half^2 + 1128960000*li8half + 338688000*li7half*ln2 - 
    18816000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 274400*ln2^8 - 
    217728000*ln2^2*s6 + 14112000*ln2*s7a - 239904000*ln2*s7b + 
    617535450*s8a + 3237696000*s8b + 491904000*s8c + 241920000*s8d - 
    84672000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1646400*ln2^6*z2 - 935424000*s6*z2 + 
    148579200*li4half*z2^2 + 310800*ln2^4*z2^2 + 24091200*ln2^2*z2^3 - 
    105684408*z2^4 - 526176000*li5half*z3 - 204624000*li4half*ln2*z3 - 
    4494000*ln2^5*z3 - 336000*ln2^3*z2*z3 - 336546000*ln2*z2^2*z3 - 
    52636500*ln2^2*z3^2 - 519309000*z2*z3^2 + 228438000*ln2^3*z5 - 
    625464000*ln2*z2*z5 + 893450250*z3*z5 - 1157349375*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 1, -1, 0, -1, 1] -> 
  (1580544000*li8half + 677376000*li7half*ln2 + 197568000*li6half*ln2^2 + 
    56448000*li5half*ln2^3 + 11760000*li4half*ln2^4 + 198800*ln2^8 - 
    164304000*ln2^2*s6 + 233856000*ln2*s7a - 34272000*ln2*s7b + 
    326612475*s8a + 2516472000*s8b + 86688000*s8c + 463680000*s8d - 
    84672000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 901600*ln2^6*z2 - 1287216000*s6*z2 + 
    104025600*li4half*z2^2 + 2100000*ln2^4*z2^2 + 30038400*ln2^2*z2^3 - 
    275824104*z2^4 - 941472000*li5half*z3 - 21168000*li4half*ln2*z3 + 
    8316000*ln2^5*z3 - 72576000*ln2^3*z2*z3 - 386454600*ln2*z2^2*z3 + 
    218389500*ln2^2*z3^2 - 149247000*z2*z3^2 + 188013000*ln2^3*z5 + 
    13923000*ln2*z2*z5 + 958804875*z3*z5 + 300801375*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 1, -1, -1, 1, 1] -> 
  (80640000*li8half + 32256000*li7half*ln2 + 4032000*li6half*ln2^2 + 
    1400*ln2^8 - 37440000*ln2^2*s6 + 9216000*ln2*s7a - 12960000*ln2*s7b + 
    53721675*s8a + 318024000*s8b + 54432000*s8c + 16128000*s8d - 
    5600*ln2^6*z2 - 67536000*s6*z2 + 3225600*li4half*z2^2 + 
    151200*ln2^4*z2^2 + 9744000*ln2^2*z2^3 + 7417608*z2^4 - 
    32256000*li5half*z3 + 260400*ln2^5*z3 - 2016000*ln2^3*z2*z3 - 
    36808200*ln2*z2^2*z3 - 6844500*ln2^2*z3^2 - 40918500*z2*z3^2 + 
    22092000*ln2^3*z5 - 124533000*ln2*z2*z5 - 2527875*z3*z5 - 
    119284875*ln2*z7)/8064000, H[-1, -1, 1, 1, 1, -1, -1, 0, 1] -> 
  (-80640000*li8half - 96768000*li7half*ln2 - 36288000*li6half*ln2^2 - 
    6720000*li5half*ln2^3 - 672000*li4half*ln2^4 - 5200*ln2^8 + 
    26064000*ln2^2*s6 - 16992000*ln2*s7a + 43488000*ln2*s7b - 53721675*s8a - 
    318024000*s8b - 54432000*s8c - 16128000*s8d - 12096000*li6half*z2 - 
    4032000*li5half*ln2*z2 + 39200*ln2^6*z2 + 55440000*s6*z2 - 
    4032000*li4half*z2^2 - 546000*ln2^4*z2^2 - 7300800*ln2^2*z2^3 - 
    7142088*z2^4 + 38304000*li5half*z3 + 2016000*li4half*ln2*z3 - 
    243600*ln2^5*z3 + 2604000*ln2^3*z2*z3 + 28963800*ln2*z2^2*z3 - 
    8262000*ln2^2*z3^2 + 45234000*z2*z3^2 - 53424000*ln2^3*z5 + 
    33534000*ln2*z2*z5 - 1771875*z3*z5 + 366539625*ln2*z7)/8064000, 
 H[-1, -1, 1, 1, 1, -1, -1, -1, 1] -> 
  (-508032000*li8half - 169344000*li7half*ln2 + 9408000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 39200*ln2^8 + 234864000*ln2^2*s6 - 
    10080000*ln2*s7a + 159264000*ln2*s7b - 488333475*s8a - 2528568000*s8b - 
    449568000*s8c - 58464000*s8d - 156800*ln2^6*z2 + 370944000*s6*z2 - 
    8870400*li4half*z2^2 - 487200*ln2^4*z2^2 - 60748800*ln2^2*z2^3 - 
    98715816*z2^4 + 109872000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    739200*ln2^5*z3 + 6216000*ln2^3*z2*z3 + 236867400*ln2*z2^2*z3 + 
    78844500*ln2^2*z3^2 + 415012500*z2*z3^2 - 163758000*ln2^3*z5 + 
    875574000*ln2*z2*z5 + 842625*z3*z5 + 1787034375*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 0, 1, 1, 1, 1] -> (84672000*li4half^2 - 225792000*li8half - 
    56448000*li7half*ln2 + 7056000*li4half*ln2^4 + 152600*ln2^8 - 
    197568000*ln2^2*s6 + 76608000*ln2*s7a - 78624000*ln2*s7b + 
    315400050*s8a + 1412208000*s8b + 241920000*s8c + 40320000*s8d + 
    282240000*li6half*z2 + 169344000*li5half*ln2*z2 - 1097600*ln2^6*z2 - 
    221760000*s6*z2 + 16531200*li4half*z2^2 + 4569600*ln2^4*z2^2 + 
    38858400*ln2^2*z2^3 + 38203848*z2^4 - 419328000*li5half*z3 - 
    21168000*li4half*ln2*z3 + 3024000*ln2^5*z3 - 29652000*ln2^3*z2*z3 - 
    258602400*ln2*z2^2*z3 + 47848500*ln2^2*z3^2 - 211648500*z2*z3^2 + 
    201684000*ln2^3*z5 - 530964000*ln2*z2*z5 + 299124000*z3*z5 - 
    776309625*ln2*z7)/56448000, H[-1, -1, 1, 1, 0, 1, 1, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    33096000*ln2^2*s6 + 35616000*ln2*s7a - 16128000*ln2*s7b + 39278925*s8a + 
    226800000*s8b + 30240000*s8c + 45024000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 - 110040000*s6*z2 - 17102400*li4half*z2^2 - 
    26600*ln2^4*z2^2 + 16262400*ln2^2*z2^3 - 6101952*z2^4 - 
    40656000*li5half*z3 + 49392000*li4half*ln2*z3 + 2396800*ln2^5*z3 - 
    15834000*ln2^3*z2*z3 - 44839200*ln2*z2^2*z3 + 33689250*ln2^2*z3^2 - 
    44730000*z2*z3^2 + 43071000*ln2^3*z5 - 63115500*ln2*z2*z5 + 
    135200625*z3*z5 + 13390125*ln2*z7)/9408000, 
 H[-1, -1, 1, 1, 0, 1, 1, -1, 1] -> 
  (508032000*li4half^2 - 9878400000*li8half - 2653056000*li7half*ln2 + 
    37632000*li5half*ln2^3 + 37632000*li4half*ln2^4 + 653800*ln2^8 + 
    1370880000*ln2^2*s6 - 80640000*ln2*s7a + 808416000*ln2*s7b - 
    3373399575*s8a - 21107016000*s8b - 2368800000*s8c - 1751904000*s8d - 
    169344000*li5half*ln2*z2 - 296352000*li4half*ln2^2*z2 - 
    9055200*ln2^6*z2 + 5564160000*s6*z2 - 775152000*li4half*z2^2 + 
    865200*ln2^4*z2^2 - 164757600*ln2^2*z2^3 + 625953528*z2^4 + 
    3602592000*li5half*z3 + 1072512000*li4half*ln2*z3 + 14666400*ln2^5*z3 + 
    26796000*ln2^3*z2*z3 + 2005983000*ln2*z2^2*z3 + 192622500*ln2^2*z3^2 + 
    2547688500*z2*z3^2 - 871563000*ln2^3*z5 + 4744908000*ln2*z2*z5 - 
    2300846625*z3*z5 + 7546494375*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 0, 1, 0, 1, 1] -> (-483840*li4half^2 - 2580480*li7half*ln2 - 
    1290240*li6half*ln2^2 - 215040*li5half*ln2^3 - 40320*li4half*ln2^4 - 
    328*ln2^8 + 2194560*ln2^2*s6 - 2073600*ln2*s7a - 380160*ln2*s7b - 
    1361430*s8a - 12539520*s8b - 645120*s8c - 1935360*s8d - 
    3225600*li6half*z2 - 1290240*li5half*ln2*z2 + 241920*li4half*ln2^2*z2 + 
    14560*ln2^6*z2 + 4838400*s6*z2 + 145152*li4half*z2^2 - 60480*ln2^4*z2^2 - 
    745056*ln2^2*z2^3 + 305208*z2^4 + 4838400*li5half*z3 - 
    846720*li4half*ln2*z3 - 75600*ln2^5*z3 + 769440*ln2^3*z2*z3 + 
    2649456*ln2*z2^2*z3 - 1723860*ln2^2*z3^2 + 490140*z2*z3^2 - 
    1982400*ln2^3*z5 + 3351960*ln2*z2*z5 - 1990800*z3*z5 + 799425*ln2*z7)/
   322560, H[-1, -1, 1, 1, 0, 1, 0, 0, 1] -> 
  (-16934400*li4half^2 - 1411200*li4half*ln2^4 - 29400*ln2^8 - 
    1814400*ln2^2*s6 - 16128000*ln2*s7a - 4838400*ln2*s7b + 12929175*s8a + 
    104025600*s8b + 16128000*s8c - 4838400*s8d - 22579200*li6half*z2 - 
    11289600*li5half*ln2*z2 + 8467200*li4half*ln2^2*z2 + 415520*ln2^6*z2 - 
    9374400*s6*z2 + 19776960*li4half*z2^2 - 422520*ln2^4*z2^2 - 
    2200800*ln2^2*z2^3 + 15086964*z2^4 - 4435200*li5half*z3 - 
    29635200*li4half*ln2*z3 - 1197840*ln2^5*z3 + 7980000*ln2^3*z2*z3 - 
    186480*ln2*z2^2*z3 - 16033500*ln2^2*z3^2 - 1622250*z2*z3^2 - 
    5762400*ln2^3*z5 - 31304700*ln2*z2*z5 - 61459650*z3*z5 - 
    120383550*ln2*z7)/5644800, H[-1, -1, 1, 1, 0, 1, 0, -1, 1] -> 
  (-931392000*li4half^2 - 225792000*li8half + 451584000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    77616000*li4half*ln2^4 - 1712200*ln2^8 + 550368000*ln2^2*s6 - 
    612864000*ln2*s7a - 683424000*ln2*s7b + 19131525*s8a - 272664000*s8b + 
    195552000*s8c - 379008000*s8d - 225792000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 465696000*li4half*ln2^2*z2 + 
    20501600*ln2^6*z2 + 814464000*s6*z2 + 666489600*li4half*z2^2 - 
    30970800*ln2^4*z2^2 - 277552800*ln2^2*z2^3 + 158128344*z2^4 + 
    786240000*li5half*z3 - 1629936000*li4half*ln2*z3 - 76112400*ln2^5*z3 + 
    486528000*ln2^3*z2*z3 + 996571800*ln2*z2^2*z3 - 775278000*ln2^2*z3^2 - 
    70150500*z2*z3^2 + 55272000*ln2^3*z5 + 1453977000*ln2*z2*z5 - 
    1221530625*z3*z5 - 5965588125*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 0, 1, -1, 1, 1] -> 
  (5964672000*li8half + 1636992000*li7half*ln2 - 25088000*li5half*ln2^3 + 
    32200*ln2^8 - 1130304000*ln2^2*s6 + 340704000*ln2*s7a - 
    440160000*ln2*s7b + 2297906100*s8a + 13916112000*s8b + 1579200000*s8c + 
    1280832000*s8d - 28224000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    1215200*ln2^6*z2 - 3984624000*s6*z2 + 254755200*li4half*z2^2 + 
    11732000*ln2^4*z2^2 + 234847200*ln2^2*z2^3 - 418506744*z2^4 - 
    2542848000*li5half*z3 + 21168000*li4half*ln2*z3 + 21660800*ln2^5*z3 - 
    213668000*ln2^3*z2*z3 - 1695943200*ln2*z2^2*z3 + 239305500*ln2^2*z3^2 - 
    1767916500*z2*z3^2 + 757589000*ln2^3*z5 - 3420228000*ln2*z2*z5 + 
    2338502250*z3*z5 - 3528601125*ln2*z7)/18816000, 
 H[-1, -1, 1, 1, 0, 1, -1, 0, 1] -> (11289600*li4half^2 - 903168000*li8half - 
    722534400*li7half*ln2 - 135475200*li6half*ln2^2 + 2822400*li4half*ln2^4 + 
    30800*ln2^8 + 245347200*ln2^2*s6 - 183859200*ln2*s7a + 
    183052800*ln2*s7b - 414160425*s8a - 2396318400*s8b - 264096000*s8c - 
    260870400*s8d - 135475200*li6half*z2 + 5644800*li4half*ln2^2*z2 + 
    15680*ln2^6*z2 + 719308800*s6*z2 - 56407680*li4half*z2^2 - 
    7019040*ln2^4*z2^2 - 59905440*ln2^2*z2^3 + 116099208*z2^4 + 
    521740800*li5half*z3 - 21168000*li4half*ln2*z3 - 5229840*ln2^5*z3 + 
    47241600*ln2^3*z2*z3 + 295412040*ln2*z2^2*z3 - 159169500*ln2^2*z3^2 + 
    345366000*z2*z3^2 - 347890200*ln2^3*z5 + 227757600*ln2*z2*z5 - 
    655592175*z3*z5 + 1373258250*ln2*z7)/11289600, 
 H[-1, -1, 1, 1, 0, 1, -1, -1, 1] -> 
  (-101606400*li4half^2 - 1467648000*li8half - 440294400*li7half*ln2 + 
    7526400*li5half*ln2^3 - 9408000*li4half*ln2^4 - 227360*ln2^8 + 
    258048000*ln2^2*s6 - 140313600*ln2*s7a + 806400*ln2*s7b - 374016825*s8a - 
    2523124800*s8b - 227001600*s8c - 266918400*s8d + 
    59270400*li4half*ln2^2*z2 + 2869440*ln2^6*z2 + 780796800*s6*z2 + 
    26772480*li4half*z2^2 - 8233680*ln2^4*z2^2 - 58534560*ln2^2*z2^3 + 
    116895456*z2^4 + 528192000*li5half*z3 - 187689600*li4half*ln2*z3 - 
    12222000*ln2^5*z3 + 89880000*ln2^3*z2*z3 + 392185080*ln2*z2^2*z3 - 
    145057500*ln2^2*z3^2 + 268902900*z2*z3^2 - 139209000*ln2^3*z5 + 
    674226000*ln2*z2*z5 - 378530775*z3*z5 + 56391300*ln2*z7)/11289600, 
 H[-1, -1, 1, 1, 0, 0, 1, 1, 1] -> 
  (-56448000*li4half^2 - 1693440000*li8half - 903168000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 156800*ln2^8 + 353808000*ln2^2*s6 - 
    229824000*ln2*s7a + 334656000*ln2*s7b - 749036925*s8a - 4410504000*s8b - 
    558432000*s8c - 344736000*s8d + 225792000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    1296288000*s6*z2 - 60480000*li4half*z2^2 - 5812800*ln2^4*z2^2 - 
    77666400*ln2^2*z2^3 + 58361112*z2^4 + 830592000*li5half*z3 + 
    28224000*li4half*ln2*z3 - 5745600*ln2^5*z3 + 62160000*ln2^3*z2*z3 + 
    505852200*ln2*z2^2*z3 - 153405000*ln2^2*z3^2 + 528412500*z2*z3^2 - 
    505680000*ln2^3*z5 + 606249000*ln2*z2*z5 - 714097125*z3*z5 + 
    2488626000*ln2*z7)/56448000, H[-1, -1, 1, 1, 0, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    90720000*ln2^2*s6 - 42336000*ln2*s7a + 14112000*ln2*s7b - 146988450*s8a - 
    937440000*s8b - 54432000*s8c - 171360000*s8d - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1450400*ln2^6*z2 + 
    399168000*s6*z2 - 56851200*li4half*z2^2 + 924000*ln2^4*z2^2 - 
    33129600*ln2^2*z2^3 + 48086868*z2^4 + 180432000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 1797600*ln2^5*z3 + 14448000*ln2^3*z2*z3 + 
    104403600*ln2*z2^2*z3 - 50998500*ln2^2*z3^2 + 113258250*z2*z3^2 - 
    75852000*ln2^3*z5 + 181818000*ln2*z2*z5 - 290437875*z3*z5 + 
    135938250*ln2*z7)/28224000, H[-1, -1, 1, 1, 0, 0, 1, -1, 1] -> 
  (56448000*li4half^2 + 1241856000*li8half + 903168000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 145600*ln2^8 - 708624000*ln2^2*s6 + 
    290304000*ln2*s7a - 499968000*ln2*s7b + 1416981825*s8a + 7470792000*s8b + 
    1090656000*s8c + 701568000*s8d + 282240000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 3684800*ln2^6*z2 - 2299248000*s6*z2 + 
    117734400*li4half*z2^2 - 7030800*ln2^4*z2^2 + 306180000*ln2^2*z2^3 - 
    81173448*z2^4 - 1614816000*li5half*z3 - 127008000*li4half*ln2*z3 + 
    8988000*ln2^5*z3 - 97524000*ln2^3*z2*z3 - 995236200*ln2*z2^2*z3 + 
    161658000*ln2^2*z3^2 - 1146757500*z2*z3^2 + 697074000*ln2^3*z5 - 
    2076732000*ln2*z2*z5 + 2318533875*z3*z5 - 3214354500*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 0, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    50400000*ln2^2*s6 + 38304000*ln2*s7a - 18144000*ln2*s7b + 68703075*s8a + 
    527184000*s8b + 24192000*s8c + 88704000*s8d - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 313600*ln2^6*z2 - 329112000*s6*z2 + 
    32558400*li4half*z2^2 + 1003800*ln2^4*z2^2 + 15489600*ln2^2*z2^3 - 
    169128*z2^4 - 85680000*li5half*z3 - 3528000*li4half*ln2*z3 + 
    567000*ln2^5*z3 - 8610000*ln2^3*z2*z3 - 40773600*ln2*z2^2*z3 + 
    34776000*ln2^2*z3^2 + 819000*z2*z3^2 + 68575500*ln2^3*z5 + 
    49959000*ln2*z2*z5 + 58676625*z3*z5 - 124574625*ln2*z7)/14112000, 
 H[-1, -1, 1, 1, 0, 0, 0, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 5040000*ln2^2*s6 + 
    4032000*ln2*s7a + 5988150*s8a + 22176000*s8b + 4032000*s8c + 
    4032000*s8d - 2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 - 
    11088000*s6*z2 - 3628800*li4half*z2^2 + 100800*ln2^4*z2^2 + 
    2750400*ln2^2*z2^3 - 1016136*z2^4 - 14112000*li5half*z3 + 
    4032000*li4half*ln2*z3 + 285600*ln2^5*z3 - 2184000*ln2^3*z2*z3 - 
    9084600*ln2*z2^2*z3 + 3717000*ln2^2*z3^2 - 5733000*z2*z3^2 + 
    3570000*ln2^3*z5 - 11056500*ln2*z2*z5 + 29255625*z3*z5 + 11985750*ln2*z7)/
   2016000, H[-1, -1, 1, 1, 0, 0, 0, -1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 - 
    90216000*ln2^2*s6 + 70560000*ln2*s7a + 14112000*ln2*s7b + 93629025*s8a + 
    566496000*s8b + 39312000*s8c + 108864000*s8d - 56448000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 - 
    330624000*s6*z2 - 15624000*li4half*z2^2 + 2788800*ln2^4*z2^2 + 
    41286000*ln2^2*z2^3 - 15120846*z2^4 - 161280000*li5half*z3 + 
    102312000*li4half*ln2*z3 + 5607000*ln2^5*z3 - 40194000*ln2^3*z2*z3 - 
    126176400*ln2*z2^2*z3 + 80025750*ln2^2*z3^2 - 47509875*z2*z3^2 + 
    59020500*ln2^3*z5 - 123889500*ln2*z2*z5 + 261599625*z3*z5 + 
    192220875*ln2*z7)/14112000, H[-1, -1, 1, 1, 0, 0, -1, 1, 1] -> 
  (-225792000*li4half^2 + 1806336000*li8half + 790272000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 308000*ln2^8 + 24192000*ln2^2*s6 + 
    129024000*ln2*s7a - 252000000*ln2*s7b + 95073300*s8a + 1695456000*s8b + 
    60480000*s8c + 52416000*s8d - 169344000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 
    380016000*s6*z2 + 157248000*li4half*z2^2 + 5140800*ln2^4*z2^2 - 
    189302400*ln2^2*z2^3 - 34556472*z2^4 + 233856000*li5half*z3 - 
    127008000*li4half*ln2*z3 - 6417600*ln2^5*z3 + 45948000*ln2^3*z2*z3 + 
    173653200*ln2*z2^2*z3 + 18931500*ln2^2*z3^2 + 84514500*z2*z3^2 + 
    391755000*ln2^3*z5 + 937188000*ln2*z2*z5 - 1366076250*z3*z5 - 
    2399898375*ln2*z7)/56448000, H[-1, -1, 1, 1, 0, 0, -1, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    11088000*ln2^2*s6 + 44352000*ln2*s7a + 44352000*ln2*s7b - 39244275*s8a - 
    350784000*s8b - 31248000*s8c - 25200000*s8d + 56448000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 35280000*li4half*ln2^2*z2 - 1626800*ln2^6*z2 + 
    135072000*s6*z2 - 68544000*li4half*z2^2 + 1230600*ln2^4*z2^2 + 
    9408000*ln2^2*z2^3 - 16619154*z2^4 - 41328000*li5half*z3 + 
    102312000*li4half*ln2*z3 + 4607400*ln2^5*z3 - 27846000*ln2^3*z2*z3 - 
    49316400*ln2*z2^2*z3 + 48258000*ln2^2*z3^2 - 2086875*z2*z3^2 - 
    12201000*ln2^3*z5 - 53739000*ln2*z2*z5 + 161161875*z3*z5 + 
    432258750*ln2*z7)/14112000, H[-1, -1, 1, 1, 0, 0, -1, -1, 1] -> 
  (169344000*li4half^2 - 376320000*li8half - 263424000*li7half*ln2 - 
    75264000*li6half*ln2^2 - 12544000*li5half*ln2^3 + 
    12544000*li4half*ln2^4 + 271600*ln2^8 + 35616000*ln2^2*s6 + 
    30912000*ln2*s7a + 233184000*ln2*s7b - 273035700*s8a - 1449504000*s8b - 
    236544000*s8c - 64512000*s8d - 84672000*li4half*ln2^2*z2 - 
    3449600*ln2^6*z2 + 279552000*s6*z2 - 146496000*li4half*z2^2 + 
    3892000*ln2^4*z2^2 + 23133600*ln2^2*z2^3 + 2522928*z2^4 + 
    147840000*li5half*z3 + 305760000*li4half*ln2*z3 + 11508000*ln2^5*z3 - 
    64120000*ln2^3*z2*z3 + 1360800*ln2*z2^2*z3 + 90352500*ln2^2*z3^2 + 
    226800000*z2*z3^2 - 188307000*ln2^3*z5 + 18333000*ln2*z2*z5 - 
    120293250*z3*z5 + 1772906625*ln2*z7)/18816000, 
 H[-1, -1, 1, 1, 0, -1, 1, 1, 1] -> 
  (-4374720000*li8half - 1354752000*li7half*ln2 - 42336000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 42700*ln2^8 + 
    1054872000*ln2^2*s6 - 405216000*ln2*s7a + 540288000*ln2*s7b - 
    2049612075*s8a - 12143880000*s8b - 1489824000*s8c - 1092672000*s8d - 
    84672000*li6half*z2 - 42336000*li5half*ln2*z2 + 372400*ln2^6*z2 + 
    3466008000*s6*z2 - 215712000*li4half*z2^2 - 8870400*ln2^4*z2^2 - 
    230353200*ln2^2*z2^3 + 288051048*z2^4 + 2255904000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 19093200*ln2^5*z3 + 187110000*ln2^3*z2*z3 + 
    1499576400*ln2*z2^2*z3 - 263607750*ln2^2*z3^2 + 1606326750*z2*z3^2 - 
    921102000*ln2^3*z5 + 2934855000*ln2*z2*z5 - 2258038125*z3*z5 + 
    3747169125*ln2*z7)/28224000, H[-1, -1, 1, 1, 0, -1, 1, 0, 1] -> 
  (-225792000*li4half^2 + 4515840000*li8half + 3612672000*li7half*ln2 + 
    677376000*li6half*ln2^2 - 28224000*li4half*ln2^4 - 448000*ln2^8 - 
    1226736000*ln2^2*s6 + 717696000*ln2*s7a - 1286208000*ln2*s7b + 
    2358409725*s8a + 13559112000*s8b + 1808352000*s8c + 1155168000*s8d + 
    592704000*li6half*z2 + 56448000*li4half*ln2^2*z2 + 3332000*ln2^6*z2 - 
    3509856000*s6*z2 + 417312000*li4half*z2^2 + 30735600*ln2^4*z2^2 + 
    268329600*ln2^2*z2^3 - 365048064*z2^4 - 2458512000*li5half*z3 - 
    338688000*li4half*ln2*z3 + 6375600*ln2^5*z3 - 127848000*ln2^3*z2*z3 - 
    1386214200*ln2*z2^2*z3 + 497511000*ln2^2*z3^2 - 2004093000*z2*z3^2 + 
    1887921000*ln2^3*z5 - 1660932000*ln2*z2*z5 + 2700534375*z3*z5 - 
    9510574500*ln2*z7)/56448000, H[-1, -1, 1, 1, 0, -1, 1, -1, 1] -> 
  (6359808000*li8half + 1806336000*li7half*ln2 + 28224000*li6half*ln2^2 - 
    25088000*li5half*ln2^3 + 47600*ln2^8 - 1286544000*ln2^2*s6 + 
    407232000*ln2*s7a - 542976000*ln2*s7b + 2548367325*s8a + 
    15392328000*s8b + 1815072000*s8c + 1369536000*s8d + 
    28224000*li5half*ln2*z2 - 980000*ln2^6*z2 - 4331376000*s6*z2 + 
    273907200*li4half*z2^2 + 9805600*ln2^4*z2^2 + 262130400*ln2^2*z2^3 - 
    407094288*z2^4 - 2741424000*li5half*z3 + 23256800*ln2^5*z3 - 
    224924000*ln2^3*z2*z3 - 1854757800*ln2*z2^2*z3 + 241668000*ln2^2*z3^2 - 
    1958932500*z2*z3^2 + 943691000*ln2^3*z5 - 3875214000*ln2*z2*z5 + 
    2422095375*z3*z5 - 4183037250*ln2*z7)/18816000, 
 H[-1, -1, 1, 1, 0, -1, 0, 1, 1] -> 
  (-6451200*li7half*ln2 - 3225600*li6half*ln2^2 - 537600*li5half*ln2^3 + 
    1280*ln2^8 + 619200*ln2^2*s6 - 1123200*ln2*s7a - 115200*ln2*s7b - 
    10483200*li6half*z2 - 3225600*li5half*ln2*z2 + 7840*ln2^6*z2 - 
    4737600*s6*z2 - 47880*ln2^4*z2^2 - 5040*ln2^2*z2^3 + 1251036*z2^4 + 
    2419200*li5half*z3 - 20160*ln2^5*z3 + 285600*ln2^3*z2*z3 + 
    970560*ln2*z2^2*z3 - 764550*ln2^2*z3^2 + 1338750*z2*z3^2 - 
    837900*ln2^3*z5 + 1377900*ln2*z2*z5 - 773325*z3*z5 + 6330150*ln2*z7)/
   806400, H[-1, -1, 1, 1, 0, -1, 0, 0, 1] -> 
  (-46872000*ln2^2*s6 + 7056000*ln2*s7a + 7056000*ln2*s7b + 69222825*s8a + 
    374976000*s8b + 44352000*s8c + 40320000*s8d - 56448000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 156800*ln2^6*z2 - 149436000*s6*z2 + 
    8064000*li4half*z2^2 - 222600*ln2^4*z2^2 + 22688400*ln2^2*z2^3 + 
    12132222*z2^4 - 115920000*li5half*z3 + 966000*ln2^5*z3 - 
    7896000*ln2^3*z2*z3 - 74113200*ln2*z2^2*z3 + 10190250*ln2^2*z3^2 - 
    35854875*z2*z3^2 + 9849000*ln2^3*z5 - 131071500*ln2*z2*z5 + 
    121566375*z3*z5 - 40682250*ln2*z7)/14112000, 
 H[-1, -1, 1, 1, 0, -1, 0, -1, 1] -> 
  (-13547520*li4half^2 - 9031680*li8half + 18063360*li7half*ln2 + 
    9031680*li6half*ln2^2 + 1505280*li5half*ln2^3 - 1128960*li4half*ln2^4 - 
    27328*ln2^8 - 2016000*ln2^2*s6 - 2983680*ln2*s7a - 14837760*ln2*s7b + 
    15877575*s8a + 83039040*s8b + 12821760*s8c + 6370560*s8d - 
    12418560*li6half*z2 - 4515840*li5half*ln2*z2 + 6773760*li4half*ln2^2*z2 + 
    321440*ln2^6*z2 - 27135360*s6*z2 + 11660544*li4half*z2^2 - 
    325584*ln2^4*z2^2 + 1457568*ln2^2*z2^3 + 3048120*z2^4 - 
    11612160*li5half*z3 - 23708160*li4half*ln2*z3 - 956928*ln2^5*z3 + 
    5076960*ln2^3*z2*z3 + 1505448*ln2*z2^2*z3 - 5594400*ln2^2*z3^2 - 
    11239200*z2*z3^2 + 11095560*ln2^3*z5 + 6990480*ln2*z2*z5 + 
    17354295*z3*z5 - 127190700*ln2*z7)/2257920, 
 H[-1, -1, 1, 1, 0, -1, -1, 1, 1] -> 
  (-9031680000*li8half - 2032128000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 179200*ln2^8 + 
    2079504000*ln2^2*s6 - 508032000*ln2*s7a + 663264000*ln2*s7b - 
    4213254150*s8a - 24870384000*s8b - 3015936000*s8c - 2290176000*s8d - 
    84672000*li6half*z2 - 352800*ln2^6*z2 + 7148736000*s6*z2 - 
    452390400*li4half*z2^2 - 621600*ln2^4*z2^2 - 493567200*ln2^2*z2^3 + 
    602314056*z2^4 + 4552128000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    38522400*ln2^5*z3 + 377580000*ln2^3*z2*z3 + 3157156800*ln2*z2^2*z3 - 
    230107500*ln2^2*z3^2 + 3285733500*z2*z3^2 - 1147188000*ln2^3*z5 + 
    7062867000*ln2*z2*z5 - 4587250500*z3*z5 + 5086879875*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, 0, -1, -1, 0, 1] -> 
  (-37464000*ln2^2*s6 + 13440000*ln2*s7a - 19488000*ln2*s7b + 71315475*s8a + 
    341544000*s8b + 55104000*s8c + 38976000*s8d + 14112000*li6half*z2 + 
    19600*ln2^6*z2 - 107352000*s6*z2 + 7795200*li4half*z2^2 - 
    18200*ln2^4*z2^2 + 13020000*ln2^2*z2^3 - 4482504*z2^4 - 
    77952000*li5half*z3 + 649600*ln2^5*z3 - 6594000*ln2^3*z2*z3 - 
    53298000*ln2*z2^2*z3 + 7764750*ln2^2*z3^2 - 64590750*z2*z3^2 + 
    30919000*ln2^3*z5 - 101083500*ln2*z2*z5 + 149782500*z3*z5 - 
    97689375*ln2*z7)/9408000, H[-1, -1, 1, 1, 0, -1, -1, -1, 1] -> 
  (-12096000*li4half^2 - 249984000*li8half - 96768000*li7half*ln2 - 
    12096000*li6half*ln2^2 - 1008000*li4half*ln2^4 - 24800*ln2^8 + 
    20880000*ln2^2*s6 - 19872000*ln2*s7a + 14400000*ln2*s7b - 38022075*s8a - 
    274680000*s8b - 26208000*s8c - 18144000*s8d + 6048000*li4half*ln2^2*z2 + 
    274400*ln2^6*z2 + 58464000*s6*z2 + 5644800*li4half*z2^2 - 
    386400*ln2^4*z2^2 + 2109600*ln2^2*z2^3 + 14887008*z2^4 + 
    35280000*li5half*z3 - 21168000*li4half*ln2*z3 - 1234800*ln2^5*z3 + 
    8232000*ln2^3*z2*z3 + 30900600*ln2*z2^2*z3 - 16839000*ln2^2*z3^2 + 
    27877500*z2*z3^2 - 34020000*ln2^3*z5 + 35253000*ln2*z2*z5 + 
    14734125*z3*z5 + 114954750*ln2*z7)/8064000, 
 H[-1, -1, 1, 1, -1, 1, 1, 1, 1] -> 
  (1749888000*li8half + 1072512000*li7half*ln2 + 282240000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 5600*ln2^8 - 
    270144000*ln2^2*s6 + 104832000*ln2*s7a - 106848000*ln2*s7b + 
    534945600*s8a + 3298176000*s8b + 330624000*s8c + 262080000*s8d - 
    78400*ln2^6*z2 - 820512000*s6*z2 + 55238400*li4half*z2^2 + 
    2184000*ln2^4*z2^2 + 77968800*ln2^2*z2^3 - 83584944*z2^4 - 
    552384000*li5half*z3 - 7056000*li4half*ln2*z3 + 4779600*ln2^5*z3 - 
    44268000*ln2^3*z2*z3 - 350733600*ln2*z2^2*z3 + 70434000*ln2^2*z3^2 - 
    345870000*z2*z3^2 + 219177000*ln2^3*z5 - 544383000*ln2*z2*z5 + 
    110628000*z3*z5 - 2032167375*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, -1, 1, 1, 0, 1] -> 
  (-84672000*li4half^2 - 987840000*li8half - 508032000*li7half*ln2 - 
    127008000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    8232000*li4half*ln2^4 - 139300*ln2^8 + 315000000*ln2^2*s6 - 
    169344000*ln2*s7a + 141120000*ln2*s7b - 569140425*s8a - 3137400000*s8b - 
    397152000*s8c - 273168000*s8d - 127008000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 1332800*ln2^6*z2 + 
    828576000*s6*z2 + 18043200*li4half*z2^2 - 2629200*ln2^4*z2^2 - 
    94852800*ln2^2*z2^3 + 54350712*z2^4 + 581616000*li5half*z3 - 
    134064000*li4half*ln2*z3 - 10403400*ln2^5*z3 + 82278000*ln2^3*z2*z3 + 
    443494800*ln2*z2^2*z3 - 136206000*ln2^2*z3^2 + 441740250*z2*z3^2 - 
    302893500*ln2^3*z5 + 788382000*ln2*z2*z5 - 590184000*z3*z5 + 
    1336946625*ln2*z7)/28224000, H[-1, -1, 1, 1, -1, 1, 1, -1, 1] -> 
  (-9676800*li8half - 5806080*li7half*ln2 - 1451520*li6half*ln2^2 - 
    161280*li5half*ln2^3 + 248*ln2^8 + 1762560*ln2^2*s6 - 1036800*ln2*s7a + 
    1382400*ln2*s7b - 3858435*s8a - 24010560*s8b - 2661120*s8c - 
    1935360*s8d - 672*ln2^6*z2 + 6168960*s6*z2 - 387072*li4half*z2^2 - 
    15456*ln2^4*z2^2 - 515232*ln2^2*z2^3 + 333216*z2^4 + 3991680*li5half*z3 - 
    33600*ln2^5*z3 + 332640*ln2^3*z2*z3 + 2544408*ln2*z2^2*z3 - 
    693720*ln2^2*z3^2 + 2853900*z2*z3^2 - 2033640*ln2^3*z5 + 
    3121200*ln2*z2*z5 - 2185785*z3*z5 + 16423920*ln2*z7)/322560, 
 H[-1, -1, 1, 1, -1, 1, 0, 1, 1] -> 
  (-4032000*li8half - 36288000*li7half*ln2 - 18144000*li6half*ln2^2 - 
    3360000*li5half*ln2^3 - 168000*li4half*ln2^4 + 2900*ln2^8 + 
    4248000*ln2^2*s6 - 10800000*ln2*s7a - 19872000*ln2*s7b + 20426175*s8a + 
    38304000*s8b + 22176000*s8c - 8064000*s8d + 6048000*li6half*z2 + 
    12096000*li5half*ln2*z2 + 6048000*li4half*ln2^2*z2 + 145600*ln2^6*z2 + 
    15120000*s6*z2 - 907200*li4half*z2^2 - 680400*ln2^4*z2^2 - 
    3063600*ln2^2*z2^3 + 1185408*z2^4 + 11088000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 394800*ln2^5*z3 + 4536000*ln2^3*z2*z3 + 
    1240200*ln2*z2^2*z3 - 10318500*ln2^2*z3^2 - 27972000*z2*z3^2 + 
    5124000*ln2^3*z5 - 31117500*ln2*z2*z5 + 38894625*z3*z5 - 53389125*ln2*z7)/
   4032000, H[-1, -1, 1, 1, -1, 1, 0, 0, 1] -> 
  (1693440000*li8half + 790272000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 36400*ln2^8 - 439488000*ln2^2*s6 + 
    149184000*ln2*s7a - 260064000*ln2*s7b + 846529425*s8a + 5106024000*s8b + 
    679392000*s8c + 350784000*s8d + 254016000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 1097600*ln2^6*z2 - 
    1012032000*s6*z2 + 48988800*li4half*z2^2 - 3838800*ln2^4*z2^2 + 
    100044000*ln2^2*z2^3 + 10844208*z2^4 - 623952000*li5half*z3 + 
    105840000*li4half*ln2*z3 + 9256800*ln2^5*z3 - 73752000*ln2^3*z2*z3 - 
    577495800*ln2*z2^2*z3 + 101083500*ln2^2*z3^2 - 708214500*z2*z3^2 + 
    419832000*ln2^3*z5 - 1479303000*ln2*z2*z5 + 151333875*z3*z5 - 
    2827762875*ln2*z7)/56448000, H[-1, -1, 1, 1, -1, 1, 0, -1, 1] -> 
  (-225792000*li8half - 846720000*li7half*ln2 - 423360000*li6half*ln2^2 - 
    103488000*li5half*ln2^3 - 16464000*li4half*ln2^4 - 249200*ln2^8 + 
    47376000*ln2^2*s6 - 356832000*ln2*s7a + 66528000*ln2*s7b + 19131525*s8a - 
    272664000*s8b + 195552000*s8c - 379008000*s8d + 84672000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 2077600*ln2^6*z2 + 
    934416000*s6*z2 - 87091200*li4half*z2^2 - 11743200*ln2^4*z2^2 - 
    54028800*ln2^2*z2^3 + 265026744*z2^4 + 793296000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 7845600*ln2^5*z3 + 77280000*ln2^3*z2*z3 + 
    171851400*ln2*z2^2*z3 - 364171500*ln2^2*z3^2 - 116014500*z2*z3^2 - 
    285915000*ln2^3*z5 - 958041000*ln2*z2*z5 - 1227704625*z3*z5 - 
    460947375*ln2*z7)/56448000, H[-1, -1, 1, 1, -1, 1, -1, 1, 1] -> 
  (-508032000*li8half - 254016000*li7half*ln2 - 42336000*li6half*ln2^2 - 
    20300*ln2^8 + 225288000*ln2^2*s6 - 63504000*ln2*s7a + 84672000*ln2*s7b - 
    312053175*s8a - 1886976000*s8b - 302400000*s8c - 99792000*s8d + 
    176400*ln2^6*z2 + 400680000*s6*z2 - 19958400*li4half*z2^2 - 
    772800*ln2^4*z2^2 - 53172000*ln2^2*z2^3 - 42712668*z2^4 + 
    199584000*li5half*z3 - 2310000*ln2^5*z3 + 16632000*ln2^3*z2*z3 + 
    208933200*ln2*z2^2*z3 + 17167500*ln2^2*z3^2 + 230769000*z2*z3^2 - 
    177943500*ln2^3*z5 + 653845500*ln2*z2*z5 + 43115625*z3*z5 + 
    889056000*ln2*z7)/28224000, H[-1, -1, 1, 1, -1, 1, -1, 0, 1] -> 
  (959616000*li8half + 479808000*li7half*ln2 + 112896000*li6half*ln2^2 + 
    14112000*li5half*ln2^3 - 32200*ln2^8 - 262584000*ln2^2*s6 + 
    64512000*ln2*s7a - 245952000*ln2*s7b + 547907850*s8a + 3189816000*s8b + 
    501984000*s8c + 168336000*s8d + 84672000*li6half*z2 + 
    42336000*li5half*ln2*z2 - 58800*ln2^6*z2 - 587160000*s6*z2 + 
    33667200*li4half*z2^2 + 2137800*ln2^4*z2^2 + 60958800*ln2^2*z2^3 + 
    42873336*z2^4 - 357840000*li5half*z3 + 2746800*ln2^5*z3 - 
    36288000*ln2^3*z2*z3 - 328141800*ln2*z2^2*z3 + 12033000*ln2^2*z3^2 - 
    462924000*z2*z3^2 + 302893500*ln2^3*z5 - 856453500*ln2*z2*z5 + 
    96201000*z3*z5 - 2172326625*ln2*z7)/28224000, 
 H[-1, -1, 1, 1, -1, 1, -1, -1, 1] -> 
  (846720000*li8half + 338688000*li7half*ln2 - 28224000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 106400*ln2^8 - 390096000*ln2^2*s6 + 
    6048000*ln2*s7a - 332640000*ln2*s7b + 828089325*s8a + 4289544000*s8b + 
    768096000*s8c + 78624000*s8d + 235200*ln2^6*z2 - 580608000*s6*z2 + 
    7257600*li4half*z2^2 + 184800*ln2^4*z2^2 + 90316800*ln2^2*z2^3 + 
    187873992*z2^4 - 136080000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    2074800*ln2^5*z3 - 16632000*ln2^3*z2*z3 - 376399800*ln2*z2^2*z3 - 
    100674000*ln2^2*z3^2 - 703741500*z2*z3^2 + 383229000*ln2^3*z5 - 
    1316574000*ln2*z2*z5 - 102650625*z3*z5 - 3561775875*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, -1, 0, 1, 1, 1] -> 
  (-56448000*li8half - 1400*ln2^8 - 296352000*ln2^2*s6 + 181440000*ln2*s7a - 
    241920000*ln2*s7b + 513042075*s8a + 2580984000*s8b + 441504000*s8c + 
    249984000*s8d + 254016000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    313600*ln2^6*z2 - 739872000*s6*z2 + 49996800*li4half*z2^2 + 
    4141200*ln2^4*z2^2 + 80640000*ln2^2*z2^3 - 31501728*z2^4 - 
    669312000*li5half*z3 + 5636400*ln2^5*z3 - 55776000*ln2^3*z2*z3 - 
    419391000*ln2*z2^2*z3 + 124582500*ln2^2*z3^2 - 495400500*z2*z3^2 + 
    384552000*ln2^3*z5 - 764694000*ln2*z2*z5 + 1167303375*z3*z5 - 
    864438750*ln2*z7)/56448000, H[-1, -1, 1, 1, -1, 0, 1, 0, 1] -> 
  (15052800*li4half^2 - 60211200*li8half - 30105600*li7half*ln2 + 
    2508800*li5half*ln2^3 + 1881600*li4half*ln2^4 + 35840*ln2^8 + 
    13507200*ln2^2*s6 + 2553600*ln2*s7a + 14784000*ln2*s7b - 31054275*s8a - 
    183288000*s8b - 26476800*s8c - 13036800*s8d + 7526400*li5half*ln2*z2 - 
    3763200*li4half*ln2^2*z2 - 250880*ln2^6*z2 + 45830400*s6*z2 - 
    15025920*li4half*z2^2 - 198800*ln2^4*z2^2 - 1322720*ln2^2*z2^3 + 
    4011024*z2^4 + 32188800*li5half*z3 + 22579200*li4half*ln2*z3 + 
    719600*ln2^5*z3 - 2766400*ln2^3*z2*z3 + 13632360*ln2*z2^2*z3 + 
    5430600*ln2^2*z3^2 + 26693100*z2*z3^2 - 14386400*ln2^3*z5 + 
    33562200*ln2*z2*z5 - 32962125*z3*z5 + 104227200*ln2*z7)/3763200, 
 H[-1, -1, 1, 1, -1, 0, 1, -1, 1] -> 
  (-519321600*li8half + 67737600*li6half*ln2^2 + 15052800*li5half*ln2^3 + 
    940800*li4half*ln2^4 - 5040*ln2^8 + 94752000*ln2^2*s6 + 3628800*ln2*s7a - 
    4838400*ln2*s7b - 174963600*s8a - 1089043200*s8b - 123379200*s8c - 
    93945600*s8d - 8467200*li5half*ln2*z2 + 109760*ln2^6*z2 + 
    296553600*s6*z2 - 17660160*li4half*z2^2 - 571200*ln2^4*z2^2 - 
    13345920*ln2^2*z2^3 + 32579928*z2^4 + 182952000*li5half*z3 - 
    2822400*li4half*ln2*z3 - 1565760*ln2^5*z3 + 15422400*ln2^3*z2*z3 + 
    138426120*ln2*z2^2*z3 + 7553700*ln2^2*z3^2 + 133371000*z2*z3^2 - 
    10657500*ln2^3*z5 + 400623300*ln2*z2*z5 - 132789825*z3*z5 - 
    51686775*ln2*z7)/5644800, H[-1, -1, 1, 1, -1, 0, 0, 1, 1] -> 
  (-903168000*li8half - 451584000*li7half*ln2 - 112896000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 30800*ln2^8 + 
    165312000*ln2^2*s6 - 90720000*ln2*s7a + 276192000*ln2*s7b - 
    493775100*s8a - 2508912000*s8b - 403200000*s8c - 161280000*s8d - 
    197568000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 392000*ln2^6*z2 + 467208000*s6*z2 - 
    39312000*li4half*z2^2 + 831600*ln2^4*z2^2 - 24805200*ln2^2*z2^3 + 
    69467004*z2^4 + 407232000*li5half*z3 + 42336000*li4half*ln2*z3 - 
    1806000*ln2^5*z3 + 15708000*ln2^3*z2*z3 + 272701800*ln2*z2^2*z3 - 
    42257250*ln2^2*z3^2 + 485304750*z2*z3^2 - 294000000*ln2^3*z5 + 
    565425000*ln2*z2*z5 - 638686125*z3*z5 + 1676225250*ln2*z7)/28224000, 
 H[-1, -1, 1, 1, -1, 0, 0, 0, 1] -> (-3024000*ln2^2*s6 + 2016000*ln2*s7a - 
    2016000*ln2*s7b + 5988150*s8a + 22176000*s8b + 4032000*s8c + 
    4032000*s8d - 8064000*li6half*z2 - 4032000*li5half*ln2*z2 - 
    1008000*li4half*ln2^2*z2 - 19600*ln2^6*z2 - 17640000*s6*z2 + 
    1310400*li4half*z2^2 + 109200*ln2^4*z2^2 + 1717200*ln2^2*z2^3 - 
    2194416*z2^4 - 13104000*li5half*z3 - 2520000*li4half*ln2*z3 + 
    4200*ln2^5*z3 - 588000*ln2^3*z2*z3 - 5304600*ln2*z2^2*z3 + 
    1008000*ln2^2*z3^2 - 3866625*z2*z3^2 + 2950500*ln2^3*z5 - 
    126000*ln2*z2*z5 + 30807000*z3*z5 + 10080000*ln2*z7)/2016000, 
 H[-1, -1, 1, 1, -1, 0, 0, -1, 1] -> 
  (564480000*li8half + 301056000*li7half*ln2 + 75264000*li6half*ln2^2 + 
    12544000*li5half*ln2^3 + 1568000*li4half*ln2^4 + 19600*ln2^8 - 
    207984000*ln2^2*s6 + 123648000*ln2*s7a - 83328000*ln2*s7b + 
    363917925*s8a + 2110584000*s8b + 225120000*s8c + 278208000*s8d - 
    75264000*li6half*z2 - 37632000*li5half*ln2*z2 - 
    9408000*li4half*ln2^2*z2 - 235200*ln2^6*z2 - 859824000*s6*z2 + 
    55641600*li4half*z2^2 + 3004400*ln2^4*z2^2 + 72396800*ln2^2*z2^3 - 
    85824192*z2^4 - 547008000*li5half*z3 + 4704000*li4half*ln2*z3 + 
    4872000*ln2^5*z3 - 49308000*ln2^3*z2*z3 - 306637800*ln2*z2^2*z3 + 
    107688000*ln2^2*z3^2 - 249763500*z2*z3^2 + 189924000*ln2^3*z5 - 
    364581000*ln2*z2*z5 + 738394125*z3*z5 - 361494000*ln2*z7)/18816000, 
 H[-1, -1, 1, 1, -1, 0, -1, 1, 1] -> 
  (645120000*li8half - 24192000*li7half*ln2 - 96768000*li6half*ln2^2 - 
    21504000*li5half*ln2^3 - 1344000*li4half*ln2^4 + 9600*ln2^8 - 
    123696000*ln2^2*s6 - 4320000*ln2*s7a + 7776000*ln2*s7b + 209715975*s8a + 
    1375416000*s8b + 163296000*s8c + 98784000*s8d - 24192000*li6half*z2 - 
    123200*ln2^6*z2 - 352800000*s6*z2 + 18144000*li4half*z2^2 - 
    33600*ln2^4*z2^2 + 12945600*ln2^2*z2^3 - 16220304*z2^4 - 
    181440000*li5half*z3 + 4032000*li4half*ln2*z3 + 1789200*ln2^5*z3 - 
    15372000*ln2^3*z2*z3 - 158992200*ln2*z2^2*z3 - 25686000*ln2^2*z3^2 - 
    144522000*z2*z3^2 + 18627000*ln2^3*z5 - 512541000*ln2*z2*z5 + 
    10308375*z3*z5 - 2176875*ln2*z7)/8064000, 
 H[-1, -1, 1, 1, -1, 0, -1, 0, 1] -> 
  (75264000*li4half^2 - 301056000*li8half - 150528000*li7half*ln2 + 
    12544000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 179200*ln2^8 + 
    25200000*ln2^2*s6 + 67200000*ln2*s7a + 90720000*ln2*s7b - 109604775*s8a - 
    759192000*s8b - 137760000*s8c + 15456000*s8d + 37632000*li5half*ln2*z2 - 
    18816000*li4half*ln2^2*z2 - 1254400*ln2^6*z2 + 30240000*s6*z2 - 
    59001600*li4half*z2^2 - 400400*ln2^4*z2^2 + 13552000*ln2^2*z2^3 - 
    43919664*z2^4 - 49728000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    5432000*ln2^5*z3 - 27860000*ln2^3*z2*z3 - 17333400*ln2*z2^2*z3 + 
    79705500*ln2^2*z3^2 + 83034000*z2*z3^2 - 48069000*ln2^3*z5 + 
    133560000*ln2*z2*z5 + 332154375*z3*z5 + 973872375*ln2*z7)/18816000, 
 H[-1, -1, 1, 1, -1, 0, -1, -1, 1] -> 
  (84672000*li4half^2 + 282240000*li8half + 56448000*li7half*ln2 + 
    7056000*li4half*ln2^4 + 142800*ln2^8 - 156240000*ln2^2*s6 + 
    118944000*ln2*s7a + 34272000*ln2*s7b + 184949100*s8a + 1095696000*s8b + 
    88704000*s8c + 207648000*s8d - 42336000*li4half*ln2^2*z2 - 
    1724800*ln2^6*z2 - 563472000*s6*z2 - 23385600*li4half*z2^2 + 
    3376800*ln2^4*z2^2 + 64596000*ln2^2*z2^3 - 82256544*z2^4 - 
    415296000*li5half*z3 + 148176000*li4half*ln2*z3 + 9654400*ln2^5*z3 - 
    71652000*ln2^3*z2*z3 - 270328800*ln2*z2^2*z3 + 133413000*ln2^2*z3^2 - 
    130914000*z2*z3^2 + 73500000*ln2^3*z5 - 364140000*ln2*z2*z5 + 
    640032750*z3*z5 + 661681125*ln2*z7)/18816000, 
 H[-1, -1, 1, 1, -1, -1, 1, 1, 1] -> 
  (4*ln2^8 + 336*ln2^4*z2^2 - 144*z2^4 - 168*ln2^5*z3 - 1008*ln2*z2^2*z3 + 
    630*ln2^2*z3^2 - 1260*ln2^3*z5 + 945*z3*z5 + 2835*ln2*z7)/161280, 
 H[-1, -1, 1, 1, -1, -1, 1, 0, 1] -> 
  (903168000*li8half + 451584000*li7half*ln2 + 112896000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 30800*ln2^8 - 
    232848000*ln2^2*s6 + 129024000*ln2*s7a - 181440000*ln2*s7b + 
    492735600*s8a + 2813328000*s8b + 362880000*s8c + 258048000*s8d - 
    98000*ln2^6*z2 - 826560000*s6*z2 + 54432000*li4half*z2^2 + 
    1239000*ln2^4*z2^2 + 60656400*ln2^2*z2^3 - 62114004*z2^4 - 
    530208000*li5half*z3 - 7056000*li4half*ln2*z3 + 4506600*ln2^5*z3 - 
    42714000*ln2^3*z2*z3 - 338599800*ln2*z2^2*z3 + 79821000*ln2^2*z3^2 - 
    387591750*z2*z3^2 + 270994500*ln2^3*z5 - 546619500*ln2*z2*z5 + 
    605682000*z3*z5 - 1252195875*ln2*z7)/28224000, 
 H[-1, -1, 1, 1, -1, -1, 1, -1, 1] -> 
  (169344000*li8half + 169344000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 145600*ln2^8 - 
    33264000*ln2^2*s6 + 66528000*ln2*s7a - 102816000*ln2*s7b + 
    127277325*s8a + 654696000*s8b + 102816000*s8c + 66528000*s8d - 
    588000*ln2^6*z2 - 217728000*s6*z2 + 21772800*li4half*z2^2 + 
    789600*ln2^4*z2^2 + 7862400*ln2^2*z2^3 - 25463808*z2^4 - 
    154224000*li5half*z3 - 21168000*li4half*ln2*z3 + 1696800*ln2^5*z3 - 
    7560000*ln2^3*z2*z3 - 68481000*ln2*z2^2*z3 + 32098500*ln2^2*z3^2 - 
    108202500*z2*z3^2 + 109809000*ln2^3*z5 - 1134000*ln2*z2*z5 + 
    252669375*z3*z5 - 502621875*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, -1, -1, 0, 1, 1] -> 
  (6451200*li7half*ln2 + 3225600*li6half*ln2^2 + 537600*li5half*ln2^3 - 
    1280*ln2^8 - 43200*ln2^2*s6 + 547200*ln2*s7a - 460800*ln2*s7b + 
    1209600*li6half*z2 + 7280*ln2^6*z2 + 1209600*s6*z2 - 22680*ln2^4*z2^2 + 
    335520*ln2^2*z2^3 - 432*z2^4 - 403200*li5half*z3 - 840*ln2^5*z3 - 
    50400*ln2^3*z2*z3 - 51480*ln2*z2^2*z3 + 438300*ln2^2*z3^2 - 
    381150*z2*z3^2 + 798000*ln2^3*z5 + 1347300*ln2*z2*z5 + 157500*z3*z5 - 
    10219275*ln2*z7)/806400, H[-1, -1, 1, 1, -1, -1, 0, 0, 1] -> 
  (-56448000*li4half^2 - 903168000*li8half - 451584000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 128800*ln2^8 + 261072000*ln2^2*s6 - 
    157248000*ln2*s7a + 153216000*ln2*s7b - 492735600*s8a - 2813328000*s8b - 
    362880000*s8c - 258048000*s8d - 112896000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 + 
    748944000*s6*z2 - 5040000*li4half*z2^2 - 1680000*ln2^4*z2^2 - 
    71416800*ln2^2*z2^3 + 60583104*z2^4 + 544320000*li5half*z3 - 
    84672000*li4half*ln2*z3 - 8299200*ln2^5*z3 + 66234000*ln2^3*z2*z3 + 
    388168200*ln2*z2^2*z3 - 116093250*ln2^2*z3^2 + 415485000*z2*z3^2 - 
    278271000*ln2^3*z5 + 689944500*ln2*z2*z5 - 616321125*z3*z5 + 
    1145418750*ln2*z7)/28224000, H[-1, -1, 1, 1, -1, -1, 0, -1, 1] -> 
  (-254016000*li4half^2 - 169344000*li8half + 451584000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 534800*ln2^8 + 175392000*ln2^2*s6 - 
    88704000*ln2*s7a - 159264000*ln2*s7b - 127277325*s8a - 654696000*s8b - 
    102816000*s8c - 66528000*s8d + 127008000*li4half*ln2^2*z2 + 
    5762400*ln2^6*z2 + 217728000*s6*z2 + 181440000*li4half*z2^2 - 
    5493600*ln2^4*z2^2 - 58665600*ln2^2*z2^3 - 15178752*z2^4 + 
    104832000*li5half*z3 - 444528000*li4half*ln2*z3 - 20748000*ln2^5*z3 + 
    119280000*ln2^3*z2*z3 + 299061000*ln2*z2^2*z3 - 105682500*ln2^2*z3^2 + 
    108423000*z2*z3^2 + 58065000*ln2^3*z5 + 777168000*ln2*z2*z5 - 
    203608125*z3*z5 - 1501707375*ln2*z7)/56448000, 
 H[-1, -1, 1, 1, -1, -1, -1, 1, 1] -> 
  (-56448000*li8half - 45158400*li7half*ln2 - 16934400*li6half*ln2^2 - 
    3763200*li5half*ln2^3 - 470400*li4half*ln2^4 - 4480*ln2^8 - 
    403200*ln2^2*s6 - 12902400*ln2*s7a + 18144000*ln2*s7b - 22806000*s8a - 
    116524800*s8b - 7257600*s8c - 20966400*s8d + 7840*ln2^6*z2 + 
    56044800*s6*z2 - 4757760*li4half*z2^2 - 221760*ln2^4*z2^2 - 
    1098720*ln2^2*z2^3 + 15222264*z2^4 + 44755200*li5half*z3 + 
    1411200*li4half*ln2*z3 - 302400*ln2^5*z3 + 3376800*ln2^3*z2*z3 + 
    15336720*ln2*z2^2*z3 - 16209900*ln2^2*z3^2 + 20172600*z2*z3^2 - 
    18139800*ln2^3*z5 - 32495400*ln2*z2*z5 - 89138700*z3*z5 + 
    80915625*ln2*z7)/11289600, H[-1, -1, 1, 1, -1, -1, -1, 0, 1] -> 
  (28224000*li4half^2 - 818496000*li8half - 366912000*li7half*ln2 - 
    70560000*li6half*ln2^2 - 4704000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 
    91700*ln2^8 + 194040000*ln2^2*s6 - 51408000*ln2*s7a + 153216000*ln2*s7b - 
    417093075*s8a - 2471112000*s8b - 334656000*s8c - 180432000*s8d + 
    14112000*li6half*z2 + 14112000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 614880000*s6*z2 - 
    59371200*li4half*z2^2 - 562800*ln2^4*z2^2 - 43898400*ln2^2*z2^3 + 
    11805228*z2^4 + 360864000*li5half*z3 + 42336000*li4half*ln2*z3 - 
    1008000*ln2^5*z3 + 21840000*ln2^3*z2*z3 + 255250800*ln2*z2^2*z3 - 
    15876000*ln2^2*z3^2 + 325080000*z2*z3^2 - 202639500*ln2^3*z5 + 
    554998500*ln2*z2*z5 - 246101625*z3*z5 + 1322976375*ln2*z7)/28224000, 
 H[-1, -1, 1, 1, -1, -1, -1, -1, 1] -> 
  (225792000*li8half + 169344000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 26600*ln2^8 + 7056000*ln2^2*s6 + 
    54432000*ln2*s7a + 40320000*ln2*s7b - 46608975*s8a - 36792000*s8b - 
    94752000*s8c + 94752000*s8d + 156800*ln2^6*z2 - 189504000*s6*z2 + 
    18950400*li4half*z2^2 + 907200*ln2^4*z2^2 + 4687200*ln2^2*z2^3 - 
    85478616*z2^4 - 196560000*li5half*z3 + 1167600*ln2^5*z3 - 
    16380000*ln2^3*z2*z3 - 38014200*ln2*z2^2*z3 + 77836500*ln2^2*z3^2 + 
    60700500*z2*z3^2 - 441000*ln2^3*z5 + 166257000*ln2*z2*z5 + 
    228965625*z3*z5 + 476421750*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 1, 1, 1, 1, 1] -> (-84672000*li4half^2 + 338688000*li8half + 
    169344000*li7half*ln2 + 28224000*li6half*ln2^2 - 7056000*li4half*ln2^4 - 
    133000*ln2^8 - 6048000*ln2^2*s6 - 16128000*ln2*s7a - 30240000*ln2*s7b + 
    26203275*s8a + 173880000*s8b + 30240000*s8c + 12096000*s8d - 
    169344000*li6half*z2 - 112896000*li5half*ln2*z2 + 588000*ln2^6*z2 - 
    38304000*s6*z2 - 6048000*li4half*z2^2 - 840000*ln2^4*z2^2 + 
    3931200*ln2^2*z2^3 - 19985976*z2^4 + 201600000*li5half*z3 + 
    21168000*li4half*ln2*z3 - 386400*ln2^5*z3 - 840000*ln2^3*z2*z3 - 
    592200*ln2*z2^2*z3 + 2929500*ln2^2*z3^2 - 57298500*z2*z3^2 + 
    17934000*ln2^3*z5 - 42462000*ln2*z2*z5 + 74048625*z3*z5 - 
    100351125*ln2*z7)/56448000, H[-1, -1, 1, 0, 1, 1, 1, 0, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    14112000*ln2^2*s6 - 94752000*ln2*s7a + 46368000*ln2*s7b - 16546950*s8a + 
    242928000*s8b + 20160000*s8c - 20160000*s8d + 28224000*li6half*z2 + 
    42336000*li4half*ln2^2*z2 + 1803200*ln2^6*z2 - 37296000*s6*z2 + 
    152611200*li4half*z2^2 + 478800*ln2^4*z2^2 - 24427200*ln2^2*z2^3 + 
    44823168*z2^4 - 157248000*li5half*z3 - 296352000*li4half*ln2*z3 - 
    11037600*ln2^5*z3 + 55692000*ln2^3*z2*z3 + 98960400*ln2*z2^2*z3 - 
    169344000*ln2^2*z3^2 + 100422000*z2*z3^2 - 108486000*ln2^3*z5 - 
    47187000*ln2*z2*z5 - 531357750*z3*z5 - 247849875*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 1, 1, 1, -1, 1] -> 
  (-338688000*li4half^2 + 4459392000*li8half + 1636992000*li7half*ln2 + 
    84672000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    25872000*li4half*ln2^4 - 429800*ln2^8 - 536256000*ln2^2*s6 + 
    62496000*ln2*s7a - 360864000*ln2*s7b + 1278720450*s8a + 9103248000*s8b + 
    834624000*s8c + 844704000*s8d + 112896000*li5half*ln2*z2 + 
    211680000*li4half*ln2^2*z2 + 5331200*ln2^6*z2 - 2529072000*s6*z2 + 
    461059200*li4half*z2^2 + 3334800*ln2^4*z2^2 + 71215200*ln2^2*z2^3 - 
    279968328*z2^4 - 1759968000*li5half*z3 - 769104000*li4half*ln2*z3 - 
    17791200*ln2^5*z3 + 51492000*ln2^3*z2*z3 - 662558400*ln2*z2^2*z3 - 
    89082000*ln2^2*z3^2 - 883512000*z2*z3^2 + 396753000*ln2^3*z5 - 
    1389591000*ln2*z2*z5 + 537374250*z3*z5 - 4535614125*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 1, 1, 0, 1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 + 
    81144000*ln2^2*s6 - 68544000*ln2*s7a - 26208000*ln2*s7b - 64611225*s8a - 
    700560000*s8b - 46368000*s8c - 122976000*s8d + 28224000*li6half*z2 - 
    21168000*li4half*ln2^2*z2 - 842800*ln2^6*z2 + 312984000*s6*z2 - 
    71164800*li4half*z2^2 - 907200*ln2^4*z2^2 - 30718800*ln2^2*z2^3 + 
    7524*z2^4 + 245952000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    1037400*ln2^5*z3 + 15498000*ln2^3*z2*z3 + 90316800*ln2*z2^2*z3 - 
    16868250*ln2^2*z3^2 + 49218750*z2*z3^2 - 28003500*ln2^3*z5 + 
    291501000*ln2*z2*z5 - 163863000*z3*z5 - 189165375*ln2*z7)/28224000, 
 H[-1, -1, 1, 0, 1, 1, 0, 0, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 5443200*ln2^2*s6 + 
    9945600*ln2*s7a + 11827200*ln2*s7b - 4695075*s8a - 4032000*s8b - 
    10886400*s8c + 10886400*s8d - 2822400*li4half*ln2^2*z2 - 
    117600*ln2^6*z2 - 23419200*s6*z2 - 4737600*li4half*z2^2 + 
    155400*ln2^4*z2^2 + 3802400*ln2^2*z2^3 - 6037068*z2^4 - 
    21772800*li5half*z3 + 9878400*li4half*ln2*z3 + 593040*ln2^5*z3 - 
    4597600*ln2^3*z2*z3 - 11837280*ln2*z2^2*z3 + 10758300*ln2^2*z3^2 + 
    8039850*z2*z3^2 - 1666000*ln2^3*z5 + 459900*ln2*z2*z5 + 31681650*z3*z5 + 
    89205900*ln2*z7)/1881600, H[-1, -1, 1, 0, 1, 1, 0, -1, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 - 
    23400000*ln2^2*s6 + 42048000*ln2*s7a + 36000000*ln2*s7b - 11620350*s8a - 
    11088000*s8b - 34272000*s8c + 43344000*s8d + 2016000*li6half*z2 - 
    21168000*li4half*ln2^2*z2 - 879200*ln2^6*z2 - 93240000*s6*z2 - 
    25804800*li4half*z2^2 + 1528800*ln2^4*z2^2 + 15296400*ln2^2*z2^3 - 
    23504796*z2^4 - 86688000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    3809400*ln2^5*z3 - 25326000*ln2^3*z2*z3 - 54198000*ln2*z2^2*z3 + 
    58623750*ln2^2*z3^2 + 19577250*z2*z3^2 + 5302500*ln2^3*z5 + 
    2736000*ln2*z2*z5 + 136639125*z3*z5 + 350071875*ln2*z7)/4032000, 
 H[-1, -1, 1, 0, 1, 1, -1, 1, 1] -> 
  (-12700800000*li8half - 5080320000*li7half*ln2 - 366912000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 267400*ln2^8 + 
    2647008000*ln2^2*s6 - 1197504000*ln2*s7a + 876960000*ln2*s7b - 
    4486283550*s8a - 29087856000*s8b - 2927232000*s8c - 2957472000*s8d + 
    112896000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 7604800*ln2^6*z2 + 
    8829072000*s6*z2 - 595728000*li4half*z2^2 - 69627600*ln2^4*z2^2 - 
    638618400*ln2^2*z2^3 + 927785952*z2^4 + 5900832000*li5half*z3 - 
    42336000*li4half*ln2*z3 - 50937600*ln2^5*z3 + 534072000*ln2^3*z2*z3 + 
    3607758000*ln2*z2^2*z3 - 1012032000*ln2^2*z3^2 + 3289104000*z2*z3^2 - 
    2027571000*ln2^3*z5 + 6140799000*ln2*z2*z5 - 4593944250*z3*z5 + 
    8621683875*ln2*z7)/56448000, H[-1, -1, 1, 0, 1, 1, -1, 0, 1] -> 
  (28224000*li4half^2 + 1354752000*li7half*ln2 + 338688000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 93800*ln2^8 - 
    49392000*ln2^2*s6 + 370944000*ln2*s7a - 38304000*ln2*s7b - 
    398397825*s8a - 1662192000*s8b - 417312000*s8c - 6048000*s8d + 
    324576000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 1038800*ln2^6*z2 + 389592000*s6*z2 - 
    34372800*li4half*z2^2 + 26733000*ln2^4*z2^2 + 23024400*ln2^2*z2^3 - 
    120554352*z2^4 - 16128000*li5half*z3 + 130536000*li4half*ln2*z3 + 
    5573400*ln2^5*z3 - 41622000*ln2^3*z2*z3 + 139356000*ln2*z2^2*z3 + 
    398443500*ln2^2*z3^2 + 309015000*z2*z3^2 + 389182500*ln2^3*z5 + 
    1361808000*ln2*z2*z5 - 186606000*z3*z5 - 995896125*ln2*z7)/28224000, 
 H[-1, -1, 1, 0, 1, 1, -1, -1, 1] -> 
  (101606400*li4half^2 + 1467648000*li8half + 654796800*li7half*ln2 + 
    50803200*li6half*ln2^2 - 7526400*li5half*ln2^3 + 8467200*li4half*ln2^4 + 
    216160*ln2^8 - 284054400*ln2^2*s6 + 176198400*ln2*s7a - 
    43948800*ln2*s7b + 374016825*s8a + 2523124800*s8b + 227001600*s8c + 
    266918400*s8d - 59270400*li4half*ln2^2*z2 - 3386880*ln2^6*z2 - 
    780796800*s6*z2 - 27901440*li4half*z2^2 + 12643680*ln2^4*z2^2 + 
    72001440*ln2^2*z2^3 - 116401536*z2^4 - 528192000*li5half*z3 + 
    190512000*li4half*ln2*z3 + 12339600*ln2^5*z3 - 93760800*ln2^3*z2*z3 - 
    386379000*ln2*z2^2*z3 + 192691800*ln2^2*z3^2 - 266786100*z2*z3^2 + 
    221411400*ln2^3*z5 - 545025600*ln2*z2*z5 + 374297175*z3*z5 - 
    455913675*ln2*z7)/11289600, H[-1, -1, 1, 0, 1, 0, 1, 1, 1] -> 
  (112896000*li4half^2 - 1128960000*li8half - 451584000*li7half*ln2 + 
    37632000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 336000*ln2^8 - 
    155232000*ln2^2*s6 + 274176000*ln2*s7a + 344736000*ln2*s7b - 
    214329150*s8a - 161280000*s8b - 237888000*s8c + 223776000*s8d + 
    338688000*li6half*z2 + 112896000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 3136000*ln2^6*z2 - 419328000*s6*z2 + 
    27820800*li4half*z2^2 + 10567200*ln2^4*z2^2 + 77212800*ln2^2*z2^3 + 
    26066016*z2^4 - 927360000*li5half*z3 - 56448000*li4half*ln2*z3 + 
    5376000*ln2^5*z3 - 91392000*ln2^3*z2*z3 - 268480800*ln2*z2^2*z3 + 
    152145000*ln2^2*z3^2 + 382158000*z2*z3^2 - 80409000*ln2^3*z5 - 
    273861000*ln2*z2*z5 + 110706750*z3*z5 + 2144874375*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 1, 0, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    38304000*ln2^2*s6 - 48384000*ln2*s7a - 104832000*ln2*s7b + 26285175*s8a - 
    95760000*s8b + 76608000*s8c - 76608000*s8d + 28224000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1528800*ln2^6*z2 + 181440000*s6*z2 + 
    7257600*li4half*z2^2 - 4401600*ln2^4*z2^2 - 25338600*ln2^2*z2^3 + 
    21681378*z2^4 + 308448000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    2276400*ln2^5*z3 + 28644000*ln2^3*z2*z3 + 94493700*ln2*z2^2*z3 - 
    44352000*ln2^2*z3^2 - 98469000*z2*z3^2 + 49980000*ln2^3*z5 + 
    17923500*ln2*z2*z5 - 125251875*z3*z5 - 531916875*ln2*z7)/14112000, 
 H[-1, -1, 1, 0, 1, 0, 1, -1, 1] -> 
  (225792000*li4half^2 + 2257920000*li8half + 451584000*li7half*ln2 - 
    37632000*li5half*ln2^3 - 112000*ln2^8 - 737856000*ln2^2*s6 + 
    137088000*ln2*s7a - 385056000*ln2*s7b + 1409895900*s8a + 6146784000*s8b + 
    1427328000*s8c - 16128000*s8d - 451584000*li5half*ln2*z2 - 
    451584000*li4half*ln2^2*z2 - 13171200*ln2^6*z2 - 673344000*s6*z2 - 
    229017600*li4half*z2^2 + 32088000*ln2^4*z2^2 + 105084000*ln2^2*z2^3 + 
    128162304*z2^4 + 370944000*li5half*z3 + 874944000*li4half*ln2*z3 + 
    33364800*ln2^5*z3 - 301308000*ln2^3*z2*z3 - 828475200*ln2*z2^2*z3 - 
    2016000*ln2^2*z3^2 - 1347444000*z2*z3^2 + 581679000*ln2^3*z5 - 
    3049452000*ln2*z2*z5 + 221949000*z3*z5 - 1633015125*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    45360000*ln2^2*s6 - 28224000*ln2*s7a - 28224000*ln2*s7b + 2203425*s8a - 
    313488000*s8b + 1008000*s8c - 57456000*s8d + 56448000*li5half*ln2*z2 - 
    470400*ln2^6*z2 + 196056000*s6*z2 - 41126400*li4half*z2^2 - 
    537600*ln2^4*z2^2 + 1671600*ln2^2*z2^3 - 5318472*z2^4 + 
    23184000*li5half*z3 + 7056000*li4half*ln2*z3 + 100800*ln2^5*z3 + 
    4872000*ln2^3*z2*z3 + 21816900*ln2*z2^2*z3 - 15687000*ln2^2*z3^2 - 
    52573500*z2*z3^2 - 26533500*ln2^3*z5 - 33894000*ln2*z2*z5 + 
    194985000*z3*z5 - 77946750*ln2*z7)/14112000, 
 H[-1, -1, 1, 0, 1, 0, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 56448000*ln2*s7a - 2644425*s8a + 115920000*s8b + 
    20160000*s8c - 20160000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 29736000*s6*z2 + 58060800*li4half*z2^2 - 
    1108800*ln2^4*z2^2 - 9013200*ln2^2*z2^3 + 30914952*z2^4 + 
    82656000*li5half*z3 - 56448000*li4half*ln2*z3 - 3040800*ln2^5*z3 + 
    21000000*ln2^3*z2*z3 + 55402200*ln2*z2^2*z3 - 57519000*ln2^2*z3^2 + 
    8583750*z2*z3^2 - 45276000*ln2^3*z5 - 71284500*ln2*z2*z5 - 
    301486500*z3*z5 - 233013375*ln2*z7)/14112000, 
 H[-1, -1, 1, 0, 1, 0, 0, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    45696000*ln2*s7a - 45696000*ln2*s7b + 72574425*s8a + 398496000*s8b + 
    67872000*s8c + 2688000*s8d + 18816000*li5half*ln2*z2 + 
    37632000*li4half*ln2^2*z2 + 1411200*ln2^6*z2 - 28896000*s6*z2 + 
    50400000*li4half*z2^2 - 2212000*ln2^4*z2^2 - 282800*ln2^2*z2^3 + 
    25892528*z2^4 - 43008000*li5half*z3 - 136416000*li4half*ln2*z3 - 
    5325600*ln2^5*z3 + 30324000*ln2^3*z2*z3 + 14994000*ln2*z2^2*z3 - 
    69531000*ln2^2*z3^2 - 62370000*z2*z3^2 - 539000*ln2^3*z5 - 
    107310000*ln2*z2*z5 - 14151375*z3*z5 - 555460500*ln2*z7)/9408000, 
 H[-1, -1, 1, 0, 1, 0, -1, 1, 1] -> 
  (451584000*li4half^2 + 903168000*li8half + 677376000*li7half*ln2 - 
    37632000*li5half*ln2^3 + 37632000*li4half*ln2^4 + 985600*ln2^8 + 
    138096000*ln2^2*s6 + 290304000*ln2*s7a + 487872000*ln2*s7b - 
    656511975*s8a - 1814904000*s8b - 1082592000*s8c + 546336000*s8d - 
    451584000*li6half*z2 + 338688000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 313600*ln2^6*z2 - 937440000*s6*z2 - 
    172972800*li4half*z2^2 - 6501600*ln2^4*z2^2 + 136029600*ln2^2*z2^3 - 
    391353696*z2^4 - 1431360000*li5half*z3 + 225792000*li4half*ln2*z3 + 
    19689600*ln2^5*z3 - 75180000*ln2^3*z2*z3 - 195791400*ln2*z2^2*z3 + 
    639481500*ln2^2*z3^2 + 787027500*z2*z3^2 - 206682000*ln2^3*z5 + 
    1696023000*ln2*z2*z5 + 1311730875*z3*z5 + 2630549250*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 1, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    29568000*ln2^2*s6 - 55776000*ln2*s7a - 55776000*ln2*s7b + 11498025*s8a + 
    23856000*s8b + 52416000*s8c - 52416000*s8d - 9408000*li5half*ln2*z2 + 
    23520000*li4half*ln2^2*z2 + 1058400*ln2^6*z2 + 104832000*s6*z2 + 
    31852800*li4half*z2^2 - 1808800*ln2^4*z2^2 - 20609400*ln2^2*z2^3 + 
    30304014*z2^4 + 135408000*li5half*z3 - 68208000*li4half*ln2*z3 - 
    3970400*ln2^5*z3 + 28140000*ln2^3*z2*z3 + 64787100*ln2*z2^2*z3 - 
    63861000*ln2^2*z3^2 - 22701000*z2*z3^2 + 1568000*ln2^3*z5 + 
    9019500*ln2*z2*z5 - 208624500*z3*z5 - 423976875*ln2*z7)/4704000, 
 H[-1, -1, 1, 0, 1, 0, -1, -1, 1] -> 
  (-67737600*li4half^2 - 203212800*li8half - 67737600*li7half*ln2 + 
    3763200*li5half*ln2^3 - 4704000*li4half*ln2^4 - 101360*ln2^8 + 
    59673600*ln2^2*s6 - 58867200*ln2*s7a - 33465600*ln2*s7b - 39762450*s8a - 
    322560000*s8b - 1612800*s8c - 74592000*s8d + 33868800*li4half*ln2^2*z2 + 
    1348480*ln2^6*z2 + 187286400*s6*z2 + 39271680*li4half*z2^2 - 
    2597280*ln2^4*z2^2 - 25956000*ln2^2*z2^3 + 35535816*z2^4 + 
    143539200*li5half*z3 - 124185600*li4half*ln2*z3 - 6205920*ln2^5*z3 + 
    42596400*ln2^3*z2*z3 + 113276520*ln2*z2^2*z3 - 85881600*ln2^2*z3^2 + 
    21319200*z2*z3^2 - 27636000*ln2^3*z5 + 102349800*ln2*z2*z5 - 
    176577975*z3*z5 - 337691025*ln2*z7)/5644800, 
 H[-1, -1, 1, 0, 1, -1, 1, 1, 1] -> 
  (2562739200*li8half + 1117670400*li7half*ln2 + 101606400*li6half*ln2^2 + 
    3763200*li5half*ln2^3 + 1411200*li4half*ln2^4 + 10360*ln2^8 - 
    588268800*ln2^2*s6 + 286675200*ln2*s7a - 246758400*ln2*s7b + 
    996645825*s8a + 6335179200*s8b + 679392000*s8c + 616089600*s8d - 
    33868800*li6half*z2 - 736960*ln2^6*z2 - 1913788800*s6*z2 + 
    124911360*li4half*z2^2 + 12754560*ln2^4*z2^2 + 143892000*ln2^2*z2^3 - 
    163787256*z2^4 - 1235001600*li5half*z3 - 4233600*li4half*ln2*z3 + 
    9868320*ln2^5*z3 - 103269600*ln2^3*z2*z3 - 761813640*ln2*z2^2*z3 + 
    205915500*ln2^2*z3^2 - 701952300*z2*z3^2 + 513177000*ln2^3*z5 - 
    1255640400*ln2*z2*z5 + 888884325*z3*z5 - 2259135900*ln2*z7)/11289600, 
 H[-1, -1, 1, 0, 1, -1, 1, 0, 1] -> 
  (-135475200*li7half*ln2 - 33868800*li6half*ln2^2 - 1881600*li5half*ln2^3 - 
    4480*ln2^8 + 8265600*ln2^2*s6 - 26107200*ln2*s7a + 31046400*ln2*s7b + 
    6440175*s8a + 31248000*s8b + 6048000*s8c + 2419200*s8d - 
    29635200*li6half*z2 - 5644800*li5half*ln2*z2 - 9800*ln2^6*z2 - 
    23184000*s6*z2 + 483840*li4half*z2^2 - 1973160*ln2^4*z2^2 - 
    3164280*ln2^2*z2^3 + 3389328*z2^4 - 2016000*li5half*z3 + 16800*ln2^5*z3 - 
    241500*ln2^3*z2*z3 - 13561380*ln2*z2^2*z3 - 25987500*ln2^2*z3^2 - 
    2959425*z2*z3^2 - 54250350*ln2^3*z5 - 110875275*ln2*z2*z5 + 
    16419375*z3*z5 + 286914600*ln2*z7)/1411200, 
 H[-1, -1, 1, 0, 1, -1, 1, -1, 1] -> 
  (-3748147200*li8half - 1478937600*li7half*ln2 - 124185600*li6half*ln2^2 + 
    28000*ln2^8 + 783014400*ln2^2*s6 - 310060800*ln2*s7a + 
    401184000*ln2*s7b - 1499743350*s8a - 9116553600*s8b - 1058803200*s8c - 
    809625600*s8d + 909440*ln2^6*z2 + 2553465600*s6*z2 - 
    161925120*li4half*z2^2 - 13097280*ln2^4*z2^2 - 177397920*ln2^2*z2^3 + 
    228937536*z2^4 + 1619251200*li5half*z3 - 13246800*ln2^5*z3 + 
    131762400*ln2^3*z2*z3 + 1067920560*ln2*z2^2*z3 - 213192000*ln2^2*z3^2 + 
    1141169400*z2*z3^2 - 677229000*ln2^3*z5 + 1934692200*ln2*z2*z5 - 
    1354975650*z3*z5 + 3488336775*ln2*z7)/11289600, 
 H[-1, -1, 1, 0, 1, -1, 0, 1, 1] -> 
  (-4515840000*li8half + 677376000*li6half*ln2^2 + 150528000*li5half*ln2^3 - 
    425600*ln2^8 + 722736000*ln2^2*s6 - 262080000*ln2*s7a - 
    628992000*ln2*s7b - 546271425*s8a - 7160328000*s8b - 46368000*s8c - 
    1110816000*s8d + 2370816000*li6half*z2 + 903168000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 2038400*ln2^6*z2 + 4197312000*s6*z2 - 
    205228800*li4half*z2^2 - 14431200*ln2^4*z2^2 - 164757600*ln2^2*z2^3 + 
    128726352*z2^4 + 1544256000*li5half*z3 - 141120000*li4half*ln2*z3 - 
    18748800*ln2^5*z3 + 169848000*ln2^3*z2*z3 + 869286600*ln2*z2^2*z3 - 
    232879500*ln2^2*z3^2 - 487147500*z2*z3^2 + 115248000*ln2^3*z5 + 
    723744000*ln2*z2*z5 + 752149125*z3*z5 - 3213000000*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 1, -1, 0, 0, 1] -> (58464000*ln2^2*s6 - 21504000*ln2*s7a + 
    39648000*ln2*s7b - 116701725*s8a - 523824000*s8b - 92736000*s8c - 
    48384000*s8d + 56448000*li6half*z2 + 37632000*li5half*ln2*z2 + 
    4704000*li4half*ln2^2*z2 - 39200*ln2^6*z2 + 194376000*s6*z2 - 
    12028800*li4half*z2^2 - 1481200*ln2^4*z2^2 - 20035400*ln2^2*z2^3 - 
    653886*z2^4 + 143808000*li5half*z3 + 11760000*li4half*ln2*z3 - 
    708400*ln2^5*z3 + 8456000*ln2^3*z2*z3 + 95468100*ln2*z2^2*z3 - 
    14280000*ln2^2*z3^2 + 94615500*z2*z3^2 - 55835500*ln2^3*z5 + 
    122566500*ln2*z2*z5 - 291821250*z3*z5 + 145498500*ln2*z7)/4704000, 
 H[-1, -1, 1, 0, 1, -1, 0, -1, 1] -> 
  (42336000*li4half^2 + 846720000*li8half - 84672000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 35700*ln2^8 - 
    121716000*ln2^2*s6 - 23688000*ln2*s7a + 22176000*ln2*s7b + 
    253688400*s8a + 1538964000*s8b + 209664000*s8c + 65520000*s8d + 
    105840000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 715400*ln2^6*z2 - 206892000*s6*z2 - 
    20764800*li4half*z2^2 - 1482600*ln2^4*z2^2 + 10873800*ln2^2*z2^3 - 
    17654256*z2^4 - 145152000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    4296600*ln2^5*z3 - 31867500*ln2^3*z2*z3 - 199332000*ln2*z2^2*z3 - 
    41454000*ln2^2*z3^2 - 229957875*z2*z3^2 - 25798500*ln2^3*z5 - 
    775222875*ln2*z2*z5 - 29728125*z3*z5 - 48195000*ln2*z7)/7056000, 
 H[-1, -1, 1, 0, 1, -1, -1, 1, 1] -> 
  (-508032000*li7half*ln2 - 84672000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    173600*ln2^8 - 166320000*ln2^2*s6 - 72576000*ln2*s7a + 96768000*ln2*s7b + 
    599134725*s8a + 2747304000*s8b + 308448000*s8c + 453600000*s8d + 
    169344000*li6half*z2 + 1450400*ln2^6*z2 - 1118880000*s6*z2 + 
    90720000*li4half*z2^2 - 11508000*ln2^4*z2^2 + 106192800*ln2^2*z2^3 - 
    168071544*z2^4 - 921312000*li5half*z3 + 7677600*ln2^5*z3 - 
    82950000*ln2^3*z2*z3 - 551527200*ln2*z2^2*z3 + 4158000*ln2^2*z3^2 - 
    562747500*z2*z3^2 - 193819500*ln2^3*z5 - 1214892000*ln2*z2*z5 + 
    1978971750*z3*z5 + 1185219000*ln2*z7)/28224000, 
 H[-1, -1, 1, 0, 1, -1, -1, 0, 1] -> 
  (-56448000*li4half^2 + 1354752000*li7half*ln2 + 338688000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 53200*ln2^8 + 
    236880000*ln2^2*s6 + 44352000*ln2*s7a - 308448000*ln2*s7b - 
    599134725*s8a - 2747304000*s8b - 308448000*s8c - 453600000*s8d + 
    254016000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 627200*ln2^6*z2 + 1365840000*s6*z2 - 
    41328000*li4half*z2^2 + 20857200*ln2^4*z2^2 - 99430800*ln2^2*z2^3 + 
    114931044*z2^4 + 878976000*li5half*z3 - 91728000*li4half*ln2*z3 - 
    11146800*ln2^5*z3 + 95592000*ln2^3*z2*z3 + 638757000*ln2*z2^2*z3 + 
    64858500*ln2^2*z3^2 + 470578500*z2*z3^2 + 337659000*ln2^3*z5 + 
    1823692500*ln2*z2*z5 - 1948873500*z3*z5 - 3351576375*ln2*z7)/28224000, 
 H[-1, -1, 1, 0, 1, -1, -1, -1, 1] -> 
  (84672000*li4half^2 + 6491520000*li8half + 2822400000*li7half*ln2 + 
    282240000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 198800*ln2^8 - 638064000*ln2^2*s6 + 
    298368000*ln2*s7a - 562464000*ln2*s7b + 1301266575*s8a + 8852760000*s8b + 
    1074528000*s8c + 237888000*s8d - 42336000*li4half*ln2^2*z2 - 
    3724000*ln2^6*z2 - 1131984000*s6*z2 - 20160000*li4half*z2^2 + 
    17152800*ln2^4*z2^2 - 18244800*ln2^2*z2^3 - 78123888*z2^4 - 
    447552000*li5half*z3 + 155232000*li4half*ln2*z3 + 10197600*ln2^5*z3 - 
    66108000*ln2^3*z2*z3 - 629029800*ln2*z2^2*z3 + 56700000*ln2^2*z3^2 - 
    1013386500*z2*z3^2 + 820554000*ln2^3*z5 - 1544445000*ln2*z2*z5 - 
    1592159625*z3*z5 - 6933378375*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 0, 1, 1, 1, 1] -> 
  (-56448000*li4half^2 + 1241856000*li8half + 790272000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 28000*ln2^8 - 
    67536000*ln2^2*s6 + 106848000*ln2*s7a - 288288000*ln2*s7b + 
    383451075*s8a + 2172744000*s8b + 231840000*s8c + 219744000*s8d - 
    338688000*li6half*z2 - 169344000*li5half*ln2*z2 + 627200*ln2^6*z2 - 
    827568000*s6*z2 + 89107200*li4half*z2^2 + 184800*ln2^4*z2^2 + 
    3158400*ln2^2*z2^3 - 90384408*z2^4 - 129024000*li5half*z3 + 
    1898400*ln2^5*z3 - 1344000*ln2^3*z2*z3 - 45700200*ln2*z2^2*z3 + 
    78687000*ln2^2*z3^2 - 240030000*z2*z3^2 + 300174000*ln2^3*z5 + 
    396081000*ln2*z2*z5 + 170328375*z3*z5 - 2117422125*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 0, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    23184000*ln2^2*s6 + 14112000*ln2*s7a + 42336000*ln2*s7b - 5485725*s8a + 
    30240000*s8b - 10080000*s8c + 10080000*s8d + 112896000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 313600*ln2^6*z2 + 43344000*s6*z2 - 
    23385600*li4half*z2^2 - 386400*ln2^4*z2^2 + 14162400*ln2^2*z2^3 - 
    14337756*z2^4 - 182448000*li5half*z3 - 7056000*li4half*ln2*z3 + 
    1226400*ln2^5*z3 - 9324000*ln2^3*z2*z3 - 101568600*ln2*z2^2*z3 + 
    22806000*ln2^2*z3^2 - 20333250*z2*z3^2 - 24990000*ln2^3*z5 - 
    183645000*ln2*z2*z5 + 212703750*z3*z5 + 301974750*ln2*z7)/28224000, 
 H[-1, -1, 1, 0, 0, 1, 1, -1, 1] -> 
  (-112896000*li4half^2 - 677376000*li8half - 790272000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 56000*ln2^8 + 127008000*ln2^2*s6 - 
    110880000*ln2*s7a + 114912000*ln2*s7b - 238949550*s8a - 1180368000*s8b - 
    258048000*s8c + 60480000*s8d + 169344000*li5half*ln2*z2 + 
    169344000*li4half*ln2^2*z2 + 4390400*ln2^6*z2 - 22176000*s6*z2 + 
    110880000*li4half*z2^2 - 19723200*ln2^4*z2^2 - 69434400*ln2^2*z2^3 - 
    73538928*z2^4 - 219744000*li5half*z3 - 310464000*li4half*ln2*z3 - 
    11928000*ln2^5*z3 + 128688000*ln2^3*z2*z3 + 113601600*ln2*z2^2*z3 - 
    55786500*ln2^2*z3^2 + 214263000*z2*z3^2 - 163464000*ln2^3*z5 + 
    197127000*ln2*z2*z5 + 436558500*z3*z5 + 1802611125*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 0, 1, 0, 1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 
    28828800*ln2^2*s6 + 19353600*ln2*s7a + 19353600*ln2*s7b + 12951225*s8a + 
    174585600*s8b + 4838400*s8c + 29030400*s8d + 45158400*li6half*z2 + 
    22579200*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 - 7840*ln2^6*z2 - 
    65116800*s6*z2 + 3830400*li4half*z2^2 + 42000*ln2^4*z2^2 + 
    8695680*ln2^2*z2^3 - 3418908*z2^4 - 72172800*li5half*z3 + 
    2822400*li4half*ln2*z3 + 719040*ln2^5*z3 - 7896000*ln2^3*z2*z3 - 
    34095600*ln2*z2^2*z3 + 13059900*ln2^2*z3^2 - 3981600*z2*z3^2 + 
    7908600*ln2^3*z5 - 90417600*ln2*z2*z5 + 14712075*z3*z5 + 80158050*ln2*z7)/
   5644800, H[-1, -1, 1, 0, 0, 1, 0, 0, 1] -> 
  (288000*ln2^2*s6 + 1728000*ln2*s7a - 2304000*ln2*s7b - 311850*s8a - 
    4704000*s8b + 1176000*s6*z2 + 974400*li4half*z2^2 + 40600*ln2^4*z2^2 - 
    972000*ln2^2*z2^3 - 875626*z2^4 + 2016000*li5half*z3 + 
    1008000*li4half*ln2*z3 + 25200*ln2^5*z3 - 84000*ln2^3*z2*z3 + 
    2350800*ln2*z2^2*z3 + 1498500*ln2^2*z3^2 - 645750*z2*z3^2 + 
    3234000*ln2^3*z5 + 6358500*ln2*z2*z5 + 1787625*z3*z5 - 6085500*ln2*z7)/
   672000, H[-1, -1, 1, 0, 0, 1, 0, -1, 1] -> 
  (104832000*ln2^2*s6 - 129024000*ln2*s7a - 129024000*ln2*s7b - 
    41827275*s8a - 794304000*s8b + 118944000*s8c - 330624000*s8d + 
    112896000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 809424000*s6*z2 - 
    59068800*li4half*z2^2 - 3637200*ln2^4*z2^2 - 72055200*ln2^2*z2^3 + 
    109885116*z2^4 + 633024000*li5half*z3 - 14112000*li4half*ln2*z3 - 
    5863200*ln2^5*z3 + 61572000*ln2^3*z2*z3 + 232470000*ln2*z2^2*z3 - 
    181314000*ln2^2*z3^2 - 48746250*z2*z3^2 - 3087000*ln2^3*z5 - 
    25452000*ln2*z2*z5 - 773191125*z3*z5 - 1021875750*ln2*z7)/28224000, 
 H[-1, -1, 1, 0, 0, 1, -1, 1, 1] -> 
  (-169344000*li4half^2 - 1693440000*li8half - 451584000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 442400*ln2^8 + 69552000*ln2^2*s6 - 
    233856000*ln2*s7a + 443520000*ln2*s7b - 631838025*s8a - 3952872000*s8b - 
    264096000*s8c - 568512000*s8d + 225792000*li6half*z2 - 
    56448000*li4half*ln2^2*z2 + 1708560000*s6*z2 - 17740800*li4half*z2^2 + 
    30072000*ln2^4*z2^2 + 43411200*ln2^2*z2^3 + 239824656*z2^4 + 
    1165248000*li5half*z3 - 28224000*li4half*ln2*z3 - 10886400*ln2^5*z3 - 
    42840000*ln2^3*z2*z3 + 411604200*ln2*z2^2*z3 - 247905000*ln2^2*z3^2 + 
    426510000*z2*z3^2 - 555366000*ln2^3*z5 - 531720000*ln2*z2*z5 - 
    1531396125*z3*z5 + 2208874500*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, 0, 1, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    162288000*ln2^2*s6 + 137088000*ln2*s7a - 102816000*ln2*s7b + 
    277266150*s8a + 1612800000*s8b + 135072000*s8c + 288288000*s8d - 
    56448000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 1313200*ln2^6*z2 - 827064000*s6*z2 + 
    31550400*li4half*z2^2 + 10722600*ln2^4*z2^2 + 67032000*ln2^2*z2^3 - 
    64904796*z2^4 - 569520000*li5half*z3 + 28224000*li4half*ln2*z3 + 
    5922000*ln2^5*z3 - 54516000*ln2^3*z2*z3 - 248503500*ln2*z2^2*z3 + 
    136489500*ln2^2*z3^2 - 187905375*z2*z3^2 + 219838500*ln2^3*z5 - 
    71883000*ln2*z2*z5 + 892481625*z3*z5 - 301029750*ln2*z7)/14112000, 
 H[-1, -1, 1, 0, 0, 1, -1, -1, 1] -> 
  (-161280*li4half^2 + 645120*li7half*ln2 + 322560*li6half*ln2^2 + 
    53760*li5half*ln2^3 + 152*ln2^8 + 195840*ln2^2*s6 + 126720*ln2*s7a - 
    599040*ln2*s7b + 161280*li4half*ln2^2*z2 + 3808*ln2^6*z2 + 
    141120*li4half*z2^2 - 17472*ln2^4*z2^2 - 164832*ln2^2*z2^3 - 30870*z2^4 - 
    40320*li5half*z3 - 403200*li4half*ln2*z3 - 16464*ln2^5*z3 + 
    206640*ln2^3*z2*z3 + 333000*ln2*z2^2*z3 + 62325*ln2^2*z3^2 - 
    8190*z2*z3^2 + 624120*ln2^3*z5 + 1782360*ln2*z2*z5 + 59220*z3*z5 - 
    3764025*ln2*z7)/80640, H[-1, -1, 1, 0, 0, 0, 1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    15120000*ln2^2*s6 - 30240000*ln2*s7a - 30240000*ln2*s7b - 1237950*s8a - 
    118944000*s8b + 30240000*s8c - 51408000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 + 131040000*s6*z2 - 10987200*li4half*z2^2 + 
    424200*ln2^4*z2^2 - 8131200*ln2^2*z2^3 + 12072708*z2^4 + 
    46368000*li5half*z3 - 3528000*li4half*ln2*z3 - 533400*ln2^5*z3 + 
    7098000*ln2^3*z2*z3 + 16959600*ln2*z2^2*z3 - 22207500*ln2^2*z3^2 - 
    41753250*z2*z3^2 + 2131500*ln2^3*z5 - 36067500*ln2*z2*z5 + 
    40091625*z3*z5 - 138552750*ln2*z7)/14112000, 
 H[-1, -1, 1, 0, 0, 0, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 36288000*ln2*s7a + 20160000*ln2*s7b + 21298725*s8a + 
    81648000*s8b - 20160000*s8c + 20160000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 68544000*s6*z2 + 6148800*li4half*z2^2 - 
    3271800*ln2^4*z2^2 + 4502400*ln2^2*z2^3 - 884784*z2^4 + 
    72576000*li5half*z3 - 42336000*li4half*ln2*z3 - 2368800*ln2^5*z3 + 
    16632000*ln2^3*z2*z3 + 18358200*ln2*z2^2*z3 - 35910000*ln2^2*z3^2 + 
    26145000*z2*z3^2 - 45276000*ln2^3*z5 + 41170500*ln2*z2*z5 - 
    123692625*z3*z5 - 59133375*ln2*z7)/14112000, 
 H[-1, -1, 1, 0, 0, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    85176000*ln2^2*s6 - 29232000*ln2*s7a + 83664000*ln2*s7b - 161308350*s8a - 
    761544000*s8b - 140112000*s8c - 64512000*s8d - 42336000*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 + 58800*ln2^6*z2 + 231336000*s6*z2 + 
    151200*li4half*z2^2 - 875700*ln2^4*z2^2 - 31844400*ln2^2*z2^3 - 
    4096881*z2^4 + 157248000*li5half*z3 + 1764000*li4half*ln2*z3 - 
    1236900*ln2^5*z3 + 8253000*ln2^3*z2*z3 + 100781100*ln2*z2^2*z3 - 
    14521500*ln2^2*z3^2 + 141246000*z2*z3^2 - 112712250*ln2^3*z5 + 
    250314750*ln2*z2*z5 - 302738625*z3*z5 + 333687375*ln2*z7)/7056000, 
 H[-1, -1, 1, 0, 0, 0, 0, 1, 1] -> (115200*li4half^2 + 9600*li4half*ln2^4 + 
    200*ln2^8 + 28800*ln2^2*s6 + 115200*ln2*s7b - 220500*s8a - 1036800*s8b - 
    115200*s8c - 115200*s8d - 57600*li4half*ln2^2*z2 - 2400*ln2^6*z2 + 
    316800*s6*z2 - 46080*li4half*z2^2 + 5280*ln2^4*z2^2 - 11520*ln2^2*z2^3 + 
    3276*z2^4 + 86400*li4half*ln2*z3 + 3600*ln2^5*z3 - 21600*ln2^3*z2*z3 + 
    41040*ln2*z2^2*z3 + 16200*ln2^2*z3^2 + 193500*z2*z3^2 - 102600*ln2^3*z5 + 
    167400*ln2*z2*z5 - 268425*z3*z5 + 745650*ln2*z7)/57600, 
 H[-1, -1, 1, 0, 0, 0, 0, 0, 1] -> 
  (-13440*s8b - 6720*s6*z2 + 9408*li4half*z2^2 + 392*ln2^4*z2^2 - 
    864*ln2^2*z2^3 - 12612*z2^4 + 3528*ln2*z2^2*z3 + 6300*ln2*z2*z5 + 
    39690*z3*z5 + 53025*ln2*z7)/13440, H[-1, -1, 1, 0, 0, 0, 0, -1, 1] -> 
  (-168000*ln2^2*s6 - 336000*ln2*s7b + 345450*s8a + 252000*s8b + 504000*s8c - 
    336000*s6*z2 + 159600*li4half*z2^2 + 6650*ln2^4*z2^2 + 4200*ln2^2*z2^3 - 
    238578*z2^4 - 504000*li5half*z3 - 252000*li4half*ln2*z3 - 6300*ln2^5*z3 + 
    21000*ln2^3*z2*z3 - 160650*ln2*z2^2*z3 - 70875*ln2^2*z3^2 - 
    370125*z2*z3^2 + 299250*ln2^3*z5 - 275625*ln2*z2*z5 + 1816500*z3*z5 + 
    1325625*ln2*z7)/168000, H[-1, -1, 1, 0, 0, 0, -1, 1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 9945600*ln2^2*s6 + 
    4972800*ln2*s7a - 7728000*ln2*s7b + 16896075*s8a + 86822400*s8b + 
    13708800*s8c + 8870400*s8d + 5644800*li5half*ln2*z2 - 47040*ln2^6*z2 - 
    29030400*s6*z2 - 954240*li4half*z2^2 + 195440*ln2^4*z2^2 + 
    4327120*ln2^2*z2^3 + 256104*z2^4 - 23856000*li5half*z3 + 
    1881600*li4half*ln2*z3 + 277200*ln2^5*z3 - 1811600*ln2^3*z2*z3 - 
    13375740*ln2*z2^2*z3 + 3803100*ln2^2*z3^2 - 14515200*z2*z3^2 + 
    11858000*ln2^3*z5 - 26319300*ln2*z2*z5 + 37650900*z3*z5 - 
    33674550*ln2*z7)/940800, H[-1, -1, 1, 0, 0, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 40320000*ln2*s7a + 16128000*ln2*s7b + 18596025*s8a + 
    64512000*s8b - 12096000*s8c + 12096000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 52416000*s6*z2 + 11592000*li4half*z2^2 - 
    3045000*ln2^4*z2^2 + 2856000*ln2^2*z2^3 - 5692956*z2^4 + 
    60480000*li5half*z3 - 56448000*li4half*ln2*z3 - 2856000*ln2^5*z3 + 
    19152000*ln2^3*z2*z3 + 20386800*ln2*z2^2*z3 - 43407000*ln2^2*z3^2 + 
    6426000*z2*z3^2 - 45864000*ln2^3*z5 + 157500*ln2*z2*z5 - 48053250*z3*z5 - 
    3504375*ln2*z7)/14112000, H[-1, -1, 1, 0, 0, 0, -1, -1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    33768000*ln2^2*s6 + 14112000*ln2*s7a - 21168000*ln2*s7b + 67411575*s8a + 
    344232000*s8b + 39312000*s8c + 66528000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 - 185976000*s6*z2 + 26006400*li4half*z2^2 + 
    201600*ln2^4*z2^2 + 13591200*ln2^2*z2^3 - 26884458*z2^4 - 
    140112000*li5half*z3 - 28224000*li4half*ln2*z3 - 8400*ln2^5*z3 - 
    5796000*ln2^3*z2*z3 - 57512700*ln2*z2^2*z3 + 19608750*ln2^2*z3^2 - 
    50762250*z2*z3^2 + 36309000*ln2^3*z5 - 54652500*ln2*z2*z5 + 
    252173250*z3*z5 + 46305000*ln2*z7)/14112000, 
 H[-1, -1, 1, 0, 0, -1, 1, 1, 1] -> (16934400*li4half^2 - 112896000*li8half - 
    90316800*li7half*ln2 - 16934400*li6half*ln2^2 - 3763200*li5half*ln2^3 + 
    470400*li4half*ln2^4 + 13160*ln2^8 + 35784000*ln2^2*s6 - 
    24595200*ln2*s7a - 2016000*ln2*s7b - 40135725*s8a - 258854400*s8b - 
    26611200*s8c - 21369600*s8d + 33868800*li6half*z2 + 
    11289600*li5half*ln2*z2 - 70560*ln2^6*z2 + 90720000*s6*z2 - 
    11612160*li4half*z2^2 - 2071440*ln2^4*z2^2 - 13445040*ln2^2*z2^3 - 
    954612*z2^4 + 22982400*li5half*z3 + 2822400*li4half*ln2*z3 - 
    73920*ln2^5*z3 + 9618000*ln2^3*z2*z3 + 32699520*ln2*z2^2*z3 - 
    13595400*ln2^2*z3^2 + 6860700*z2*z3^2 - 16346400*ln2^3*z5 + 
    49505400*ln2*z2*z5 + 44101575*z3*z5 + 92928150*ln2*z7)/5644800, 
 H[-1, -1, 1, 0, 0, -1, 1, 0, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    11760000*ln2^2*s6 - 9475200*ln2*s7a + 6518400*ln2*s7b - 17106600*s8a - 
    108595200*s8b - 10214400*s8c - 18009600*s8d - 2822400*li6half*z2 - 
    1881600*li5half*ln2*z2 + 2352000*li4half*ln2^2*z2 + 109760*ln2^6*z2 + 
    48132000*s6*z2 - 1344000*li4half*z2^2 - 742000*ln2^4*z2^2 - 
    4538520*ln2^2*z2^3 + 3602358*z2^4 + 39782400*li5half*z3 - 
    3057600*li4half*ln2*z3 - 458920*ln2^5*z3 + 4079600*ln2^3*z2*z3 + 
    17678220*ln2*z2^2*z3 - 9349200*ln2^2*z3^2 + 14731500*z2*z3^2 - 
    14812700*ln2^3*z5 + 17140200*ln2*z2*z5 - 58416750*z3*z5 + 
    18320925*ln2*z7)/940800, H[-1, -1, 1, 0, 0, -1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 282240000*li8half + 451584000*li7half*ln2 + 
    84672000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    170800*ln2^8 - 117432000*ln2^2*s6 + 40320000*ln2*s7a + 12096000*ln2*s7b + 
    167361075*s8a + 860328000*s8b + 133056000*s8c + 29232000*s8d - 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 392000*ln2^6*z2 - 
    139608000*s6*z2 + 53827200*li4half*z2^2 + 18824400*ln2^4*z2^2 + 
    78187200*ln2^2*z2^3 + 8776332*z2^4 - 30240000*li5half*z3 - 
    7056000*li4half*ln2*z3 - 42000*ln2^5*z3 - 71904000*ln2^3*z2*z3 - 
    115126200*ln2*z2^2*z3 + 31248000*ln2^2*z3^2 - 124047000*z2*z3^2 - 
    23079000*ln2^3*z5 - 256095000*ln2*z2*z5 - 36941625*z3*z5 - 
    715932000*ln2*z7)/28224000, H[-1, -1, 1, 0, 0, -1, 0, 1, 1] -> 
  (-2472000*ln2^2*s6 + 2640000*ln2*s7a + 3984000*ln2*s7b - 1075725*s8a + 
    9408000*s8b - 2688000*s8c + 4032000*s8d - 4032000*li6half*z2 - 
    2688000*li5half*ln2*z2 - 672000*li4half*ln2^2*z2 - 11200*ln2^6*z2 - 
    14448000*s6*z2 + 806400*li4half*z2^2 + 61600*ln2^4*z2^2 + 
    937600*ln2^2*z2^3 - 599266*z2^4 - 6384000*li5half*z3 + 
    840000*li4half*ln2*z3 + 88200*ln2^5*z3 - 994000*ln2^3*z2*z3 - 
    2424300*ln2*z2^2*z3 + 2076750*ln2^2*z3^2 + 5528250*z2*z3^2 - 
    290500*ln2^3*z5 + 5097000*ln2*z2*z5 - 3391500*z3*z5 + 19541250*ln2*z7)/
   672000, H[-1, -1, 1, 0, 0, -1, 0, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 1152000*ln2^2*s6 + 
    7200000*ln2*s7a - 4896000*ln2*s7b - 1956150*s8a - 16128000*s8b - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 2520000*s6*z2 + 
    1209600*li4half*z2^2 + 302400*ln2^4*z2^2 - 1987200*ln2^2*z2^3 - 
    3785424*z2^4 - 6048000*li5half*z3 + 4032000*li4half*ln2*z3 + 
    218400*ln2^5*z3 - 1512000*ln2^3*z2*z3 + 1067400*ln2*z2^2*z3 + 
    6448500*ln2^2*z3^2 - 3197250*z2*z3^2 + 9828000*ln2^3*z5 + 
    14413500*ln2*z2*z5 + 26593875*z3*z5 + 4549500*ln2*z7)/2016000, 
 H[-1, -1, 1, 0, 0, -1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    80640000*ln2^2*s6 - 78624000*ln2*s7a - 135072000*ln2*s7b - 15020775*s8a - 
    831096000*s8b + 94752000*s8c - 221760000*s8d - 84672000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 352800*ln2^6*z2 + 397656000*s6*z2 - 
    20361600*li4half*z2^2 - 2024400*ln2^4*z2^2 - 60471600*ln2^2*z2^3 + 
    15821196*z2^4 + 471744000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    5401200*ln2^5*z3 + 51072000*ln2^3*z2*z3 + 185824800*ln2*z2^2*z3 - 
    124614000*ln2^2*z3^2 + 6993000*z2*z3^2 + 48657000*ln2^3*z5 + 
    298620000*ln2*z2*z5 - 288280125*z3*z5 - 255654000*ln2*z7)/28224000, 
 H[-1, -1, 1, 0, 0, -1, -1, 1, 1] -> 
  (22579200*li4half^2 + 361267200*li8half + 67737600*li7half*ln2 + 
    33868800*li6half*ln2^2 + 7526400*li5half*ln2^3 + 1881600*li4half*ln2^4 + 
    19040*ln2^8 - 52617600*ln2^2*s6 + 38707200*ln2*s7a - 43142400*ln2*s7b + 
    125716500*s8a + 935424000*s8b + 104025600*s8c + 76608000*s8d - 
    22579200*li6half*z2 + 5644800*li4half*ln2^2*z2 + 156800*ln2^6*z2 - 
    280224000*s6*z2 + 5160960*li4half*z2^2 - 5265120*ln2^4*z2^2 + 
    1155840*ln2^2*z2^3 - 1002888*z2^4 - 158860800*li5half*z3 + 
    1488480*ln2^5*z3 + 756000*ln2^3*z2*z3 - 91455840*ln2*z2^2*z3 - 
    5758200*ln2^2*z3^2 - 71668800*z2*z3^2 + 68237400*ln2^3*z5 - 
    182788200*ln2*z2*z5 - 13034700*z3*z5 - 318973725*ln2*z7)/11289600, 
 H[-1, -1, 1, 0, 0, -1, -1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    16632000*ln2^2*s6 + 40320000*ln2*s7a + 26208000*ln2*s7b + 6534675*s8a - 
    58968000*s8b - 33264000*s8c + 33264000*s8d + 42336000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 7056000*li4half*ln2^2*z2 - 470400*ln2^6*z2 - 
    29484000*s6*z2 - 21571200*li4half*z2^2 + 571200*ln2^4*z2^2 + 
    9387000*ln2^2*z2^3 - 37605312*z2^4 - 73584000*li5half*z3 + 
    45864000*li4half*ln2*z3 + 2524200*ln2^5*z3 - 15540000*ln2^3*z2*z3 - 
    40194000*ln2*z2^2*z3 + 46257750*ln2^2*z3^2 - 26097750*z2*z3^2 + 
    10290000*ln2^3*z5 - 34744500*ln2*z2*z5 + 252598500*z3*z5 + 
    317606625*ln2*z7)/14112000, H[-1, -1, 1, 0, 0, -1, -1, -1, 1] -> 
  (37632000*li4half^2 - 37632000*li8half - 112896000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 12544000*li5half*ln2^3 + 1568000*li4half*ln2^4 + 
    47600*ln2^8 + 8400000*ln2^2*s6 - 34944000*ln2*s7a + 45024000*ln2*s7b - 
    57817200*s8a - 509712000*s8b - 26880000*s8c - 48384000*s8d - 
    18816000*li4half*ln2^2*z2 - 705600*ln2^6*z2 + 134400000*s6*z2 - 
    39782400*li4half*z2^2 + 694400*ln2^4*z2^2 - 4261600*ln2^2*z2^3 - 
    17656032*z2^4 + 101472000*li5half*z3 + 70560000*li4half*ln2*z3 + 
    1820000*ln2^5*z3 - 7616000*ln2^3*z2*z3 + 12969600*ln2*z2^2*z3 - 
    6531000*ln2^2*z3^2 + 34860000*z2*z3^2 - 49931000*ln2^3*z5 - 
    54117000*ln2*z2*z5 + 18679500*z3*z5 + 705686625*ln2*z7)/18816000, 
 H[-1, -1, 1, 0, -1, 1, 1, 1, 1] -> 
  (-4798080000*li8half - 2032128000*li7half*ln2 - 112896000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    952560000*ln2^2*s6 - 344736000*ln2*s7a + 332640000*ln2*s7b - 
    1588699350*s8a - 10338048000*s8b - 1088640000*s8c - 929376000*s8d + 
    169344000*li6half*z2 + 1176000*ln2^6*z2 + 2938320000*s6*z2 - 
    188697600*li4half*z2^2 - 20210400*ln2^4*z2^2 - 236628000*ln2^2*z2^3 + 
    253878264*z2^4 + 1851696000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    15136800*ln2^5*z3 + 159012000*ln2^3*z2*z3 + 1184878800*ln2*z2^2*z3 - 
    266143500*ln2^2*z3^2 + 1136866500*z2*z3^2 - 724269000*ln2^3*z5 + 
    2267622000*ln2*z2*z5 - 1063377000*z3*z5 + 3801900375*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, 1, 1, 0, 1] -> 
  (56448000*li4half^2 + 1354752000*li7half*ln2 + 338688000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 142800*ln2^8 - 
    236880000*ln2^2*s6 + 326592000*ln2*s7a - 364896000*ln2*s7b + 
    194651100*s8a + 982800000*s8b + 145152000*s8c + 108864000*s8d + 
    338688000*li6half*z2 + 98784000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 784000*ln2^6*z2 - 161280000*s6*z2 - 
    27619200*li4half*z2^2 + 17900400*ln2^4*z2^2 + 99178800*ln2^2*z2^3 - 
    32576004*z2^4 - 256536000*li5half*z3 + 91728000*li4half*ln2*z3 + 
    5959800*ln2^5*z3 - 44604000*ln2^3*z2*z3 - 98973000*ln2*z2^2*z3 + 
    326418750*ln2^2*z3^2 - 225067500*z2*z3^2 + 662602500*ln2^3*z5 + 
    560574000*ln2*z2*z5 + 406027125*z3*z5 - 3082952250*ln2*z7)/28224000, 
 H[-1, -1, 1, 0, -1, 1, 1, -1, 1] -> 
  (225792000*li7half*ln2 + 9408000*li5half*ln2^3 - 123200*ln2^8 - 
    245952000*ln2^2*s6 + 100800000*ln2*s7a - 139104000*ln2*s7b + 
    389302200*s8a + 1965600000*s8b + 290304000*s8c + 217728000*s8d + 
    1724800*ln2^6*z2 - 689472000*s6*z2 + 43545600*li4half*z2^2 + 
    4166400*ln2^4*z2^2 + 109015200*ln2^2*z2^3 - 11261808*z2^4 - 
    442512000*li5half*z3 + 3687600*ln2^5*z3 - 36876000*ln2^3*z2*z3 - 
    279216000*ln2*z2^2*z3 + 85176000*ln2^2*z3^2 - 312984000*z2*z3^2 + 
    227556000*ln2^3*z5 - 454797000*ln2*z2*z5 + 756047250*z3*z5 - 
    908326125*ln2*z7)/56448000, H[-1, -1, 1, 0, -1, 1, 0, 1, 1] -> 
  (4515840000*li8half - 677376000*li6half*ln2^2 - 150528000*li5half*ln2^3 + 
    425600*ln2^8 - 525168000*ln2^2*s6 - 36288000*ln2*s7a + 
    499968000*ln2*s7b + 520003575*s8a + 5800536000*s8b + 163296000*s8c + 
    655200000*s8d - 2032128000*li6half*z2 - 733824000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 2979200*ln2^6*z2 - 2820384000*s6*z2 + 
    114105600*li4half*z2^2 + 17690400*ln2^4*z2^2 + 88250400*ln2^2*z2^3 - 
    49122288*z2^4 - 738864000*li5half*z3 + 141120000*li4half*ln2*z3 + 
    12037200*ln2^5*z3 - 120372000*ln2^3*z2*z3 - 575227800*ln2*z2^2*z3 + 
    7308000*ln2^2*z3^2 + 218421000*z2*z3^2 - 267540000*ln2^3*z5 - 
    1171800000*ln2*z2*z5 - 1133251875*z3*z5 + 2184840000*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, 1, 0, 0, 1] -> (-1670400*ln2^2*s6 + 662400*ln2*s7a - 
    1084800*ln2*s7b + 3240825*s8a + 14784000*s8b + 2553600*s8c + 
    1478400*s8d - 1612800*li6half*z2 - 1075200*li5half*ln2*z2 - 
    134400*li4half*ln2^2*z2 + 1120*ln2^6*z2 - 5846400*s6*z2 + 
    362880*li4half*z2^2 + 43120*ln2^4*z2^2 + 593240*ln2^2*z2^3 - 11346*z2^4 - 
    3998400*li5half*z3 - 336000*li4half*ln2*z3 + 19320*ln2^5*z3 - 
    240800*ln2^3*z2*z3 - 2480280*ln2*z2^2*z3 + 342900*ln2^2*z3^2 - 
    2411325*z2*z3^2 + 1572900*ln2^3*z5 - 3270900*ln2*z2*z5 + 7621950*z3*z5 - 
    3791925*ln2*z7)/134400, H[-1, -1, 1, 0, -1, 1, 0, -1, 1] -> 
  (-338688000*li4half^2 - 6773760000*li8half + 677376000*li6half*ln2^2 + 
    150528000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 285600*ln2^8 + 
    877968000*ln2^2*s6 + 36288000*ln2*s7a - 499968000*ln2*s7b - 
    1613992275*s8a - 11120760000*s8b - 1094688000*s8c - 852768000*s8d - 
    677376000*li6half*z2 - 366912000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 + 5252800*ln2^6*z2 + 2312352000*s6*z2 + 
    100396800*li4half*z2^2 + 12650400*ln2^4*z2^2 - 88653600*ln2^2*z2^3 + 
    373933656*z2^4 + 1776096000*li5half*z3 - 592704000*li4half*ln2*z3 - 
    39496800*ln2^5*z3 + 299124000*ln2^3*z2*z3 + 1627101000*ln2*z2^2*z3 + 
    67221000*ln2^2*z3^2 + 1323535500*z2*z3^2 + 358680000*ln2^3*z5 + 
    5171229000*ln2*z2*z5 - 291508875*z3*z5 - 2184840000*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, 1, -1, 1, 1] -> 
  (17385984000*li8half + 6717312000*li7half*ln2 + 451584000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 - 39200*ln2^8 - 3682224000*ln2^2*s6 + 
    1356768000*ln2*s7a - 1733760000*ln2*s7b + 6724190025*s8a + 
    41341608000*s8b + 4876704000*s8c + 3534048000*s8d - 5252800*ln2^6*z2 - 
    11273472000*s6*z2 + 706809600*li4half*z2^2 + 61202400*ln2^4*z2^2 + 
    784375200*ln2^2*z2^3 - 942372576*z2^4 - 7046928000*li5half*z3 + 
    59959200*ln2^5*z3 - 583716000*ln2^3*z2*z3 - 4782619800*ln2*z2^2*z3 + 
    848988000*ln2^2*z3^2 - 5099157000*z2*z3^2 + 3107580000*ln2^3*z5 - 
    9440613000*ln2*z2*z5 + 5203587375*z3*z5 - 15314418000*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, 1, -1, 0, 1] -> 
  (-1083801600*li7half*ln2 - 270950400*li6half*ln2^2 - 
    15052800*li5half*ln2^3 - 35840*ln2^8 + 57657600*ln2^2*s6 - 
    183456000*ln2*s7a + 273772800*ln2*s7b + 54895050*s8a + 197769600*s8b + 
    14515200*s8c + 53222400*s8d - 270950400*li6half*z2 - 
    62092800*li5half*ln2*z2 + 15680*ln2^6*z2 - 287078400*s6*z2 + 
    10644480*li4half*z2^2 - 16208640*ln2^4*z2^2 - 19491360*ln2^2*z2^3 - 
    4605624*z2^4 - 79632000*li5half*z3 + 663600*ln2^5*z3 - 
    3225600*ln2^3*z2*z3 - 121932720*ln2*z2^2*z3 - 192553200*ln2^2*z3^2 + 
    6797700*z2*z3^2 - 437295600*ln2^3*z5 - 787512600*ln2*z2*z5 + 
    260038800*z3*z5 + 2544316425*ln2*z7)/11289600, 
 H[-1, -1, 1, 0, -1, 1, -1, -1, 1] -> 
  (-50803200*li4half^2 - 2404684800*li8half - 982195200*li7half*ln2 - 
    67737600*li6half*ln2^2 + 9408000*li5half*ln2^3 - 2822400*li4half*ln2^4 - 
    66640*ln2^8 + 488073600*ln2^2*s6 - 215308800*ln2*s7a + 
    208051200*ln2*s7b - 854341425*s8a - 5372136000*s8b - 596332800*s8c - 
    462067200*s8d + 25401600*li4half*ln2^2*z2 + 1889440*ln2^6*z2 + 
    1453334400*s6*z2 - 51770880*li4half*z2^2 - 10647840*ln2^4*z2^2 - 
    109095840*ln2^2*z2^3 + 125310672*z2^4 + 917078400*li5half*z3 - 
    93139200*li4half*ln2*z3 - 11770080*ln2^5*z3 + 101119200*ln2^3*z2*z3 + 
    642602520*ln2*z2^2*z3 - 169268400*ln2^2*z3^2 + 644773500*z2*z3^2 - 
    424653600*ln2^3*z5 + 1164618000*ln2*z2*z5 - 613360125*z3*z5 + 
    2081069550*ln2*z7)/11289600, H[-1, -1, 1, 0, -1, 0, 1, 1, 1] -> 
  (56448000*li4half^2 - 564480000*li8half - 225792000*li7half*ln2 + 
    18816000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 168000*ln2^8 - 
    3024000*ln2^2*s6 + 1008000*ln2*s7a + 36288000*ln2*s7b - 73543050*s8a - 
    555408000*s8b + 4032000*s8c - 102816000*s8d + 169344000*li6half*z2 + 
    56448000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1568000*ln2^6*z2 + 
    318528000*s6*z2 - 29030400*li4half*z2^2 + 3494400*ln2^4*z2^2 - 
    1864800*ln2^2*z2^3 + 57088872*z2^4 - 118944000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 184800*ln2^5*z3 - 6090000*ln2^3*z2*z3 - 
    43822800*ln2*z2^2*z3 - 13088250*ln2^2*z3^2 + 12300750*z2*z3^2 - 
    30429000*ln2^3*z5 - 208656000*ln2*z2*z5 + 128307375*z3*z5 + 
    368660250*ln2*z7)/28224000, H[-1, -1, 1, 0, -1, 0, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    24192000*ln2^2*s6 + 26208000*ln2*s7a + 26208000*ln2*s7b - 40315275*s8a + 
    20160000*s8b - 100800000*s8c + 100800000*s8d + 28224000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1528800*ln2^6*z2 - 201600000*s6*z2 + 
    42739200*li4half*z2^2 - 2923200*ln2^4*z2^2 - 2356200*ln2^2*z2^3 - 
    48913974*z2^4 + 38304000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    25200*ln2^5*z3 - 336000*ln2^3*z2*z3 + 55421100*ln2*z2^2*z3 + 
    40320000*ln2^2*z3^2 + 64519875*z2*z3^2 + 4704000*ln2^3*z5 + 
    215601750*ln2*z2*z5 - 46927125*z3*z5 + 130291875*ln2*z7)/14112000, 
 H[-1, -1, 1, 0, -1, 0, 1, -1, 1] -> 
  (225792000*li4half^2 + 2257920000*li8half + 451584000*li7half*ln2 - 
    37632000*li5half*ln2^3 - 112000*ln2^8 + 47376000*ln2^2*s6 + 
    264096000*ln2*s7a + 645120000*ln2*s7b - 425639025*s8a - 110376000*s8b - 
    622944000*s8c + 256032000*s8d - 705600000*li5half*ln2*z2 - 
    451584000*li4half*ln2^2*z2 - 11054400*ln2^6*z2 - 328608000*s6*z2 - 
    174585600*li4half*z2^2 + 16716000*ln2^4*z2^2 - 137239200*ln2^2*z2^3 - 
    225648504*z2^4 - 4032000*li5half*z3 + 874944000*li4half*ln2*z3 + 
    36489600*ln2^5*z3 - 256116000*ln2^3*z2*z3 - 193296600*ln2*z2^2*z3 + 
    383544000*ln2^2*z3^2 + 498739500*z2*z3^2 - 331044000*ln2^3*z5 + 
    724374000*ln2*z2*z5 - 1210946625*z3*z5 + 3014518500*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, 0, 0, 1, 1] -> (645120*li4half^2 + 53760*li4half*ln2^4 + 
    1120*ln2^8 + 610560*ln2^2*s6 - 610560*ln2*s7a - 288000*ln2*s7b - 
    437850*s8a - 6693120*s8b + 241920*s8c - 1532160*s8d + 
    645120*li5half*ln2*z2 - 5376*ln2^6*z2 + 4233600*s6*z2 - 
    645120*li4half*z2^2 - 13440*ln2^4*z2^2 - 79296*ln2^2*z2^3 + 275280*z2^4 + 
    1532160*li5half*z3 + 80640*li4half*ln2*z3 - 9408*ln2^5*z3 + 
    178080*ln2^3*z2*z3 + 546984*ln2*z2^2*z3 - 588060*ln2^2*z3^2 - 
    282240*z2*z3^2 - 582120*ln2^3*z5 - 542520*ln2*z2*z5 - 183015*z3*z5 - 
    859230*ln2*z7)/161280, H[-1, -1, 1, 0, -1, 0, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    18144000*ln2^2*s6 - 52416000*ln2*s7a + 4032000*ln2*s7b + 3233475*s8a + 
    104832000*s8b + 12096000*s8c - 12096000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 + 6552000*s6*z2 + 59673600*li4half*z2^2 - 
    1041600*ln2^4*z2^2 - 7946400*ln2^2*z2^3 + 9822396*z2^4 + 
    66528000*li5half*z3 - 56448000*li4half*ln2*z3 - 2906400*ln2^5*z3 + 
    19656000*ln2^3*z2*z3 + 41466600*ln2*z2^2*z3 - 52668000*ln2^2*z3^2 + 
    5260500*z2*z3^2 - 45864000*ln2^3*z5 - 54526500*ln2*z2*z5 - 
    184078125*z3*z5 - 128669625*ln2*z7)/14112000, 
 H[-1, -1, 1, 0, -1, 0, 0, -1, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 - 
    1814400*ln2^2*s6 - 10080000*ln2*s7a - 13843200*ln2*s7b + 19717425*s8a + 
    73046400*s8b + 20966400*s8c - 1209600*s8d + 3763200*li5half*ln2*z2 + 
    7526400*li4half*ln2^2*z2 + 282240*ln2^6*z2 - 6048000*s6*z2 + 
    9730560*li4half*z2^2 - 456960*ln2^4*z2^2 + 221200*ln2^2*z2^3 + 
    1918148*z2^4 - 9340800*li5half*z3 - 27283200*li4half*ln2*z3 - 
    1058960*ln2^5*z3 + 6277600*ln2^3*z2*z3 - 333480*ln2*z2^2*z3 - 
    14284200*ln2^2*z3^2 - 19113150*z2*z3^2 + 3145800*ln2^3*z5 - 
    25924500*ln2*z2*z5 + 24415125*z3*z5 - 85991850*ln2*z7)/1881600, 
 H[-1, -1, 1, 0, -1, 0, -1, 1, 1] -> 
  (451584000*li4half^2 + 903168000*li8half + 677376000*li7half*ln2 - 
    37632000*li5half*ln2^3 + 37632000*li4half*ln2^4 + 985600*ln2^8 - 
    498960000*ln2^2*s6 + 217728000*ln2*s7a - 276192000*ln2*s7b + 
    753749325*s8a + 3170664000*s8b + 562464000*s8c + 256032000*s8d - 
    451584000*li6half*z2 + 592704000*li5half*ln2*z2 + 
    112896000*li4half*ln2^2*z2 - 1803200*ln2^6*z2 - 1034208000*s6*z2 - 
    231033600*li4half*z2^2 + 8719200*ln2^4*z2^2 + 353304000*ln2^2*z2^3 - 
    24301008*z2^4 - 1125936000*li5half*z3 + 225792000*li4half*ln2*z3 + 
    17144400*ln2^5*z3 - 121464000*ln2^3*z2*z3 - 732274200*ln2*z2^2*z3 + 
    319410000*ln2^2*z3^2 - 646317000*z2*z3^2 + 425418000*ln2^3*z5 - 
    1445409000*ln2*z2*z5 + 2094127875*z3*z5 - 1422154125*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, 0, -1, 0, 1] -> 
  (-22579200*li4half^2 - 1881600*li4half*ln2^4 - 39200*ln2^8 + 
    9945600*ln2^2*s6 - 12364800*ln2*s7a - 4838400*ln2*s7b - 3553200*s8a + 
    23587200*s8b - 2688000*s8c + 2688000*s8d - 3763200*li5half*ln2*z2 + 
    9408000*li4half*ln2^2*z2 + 423360*ln2^6*z2 - 9139200*s6*z2 + 
    17472000*li4half*z2^2 - 526400*ln2^4*z2^2 - 5152560*ln2^2*z2^3 + 
    691716*z2^4 + 15321600*li5half*z3 - 27283200*li4half*ln2*z3 - 
    1264480*ln2^5*z3 + 7235200*ln2^3*z2*z3 + 19223400*ln2*z2^2*z3 - 
    13196400*ln2^2*z3^2 + 7256550*z2*z3^2 - 5488000*ln2^3*z5 + 
    23349900*ln2*z2*z5 - 49122675*z3*z5 - 66004575*ln2*z7)/1881600, 
 H[-1, -1, 1, 0, -1, 0, -1, -1, 1] -> 
  (-677376000*li4half^2 - 2032128000*li8half - 677376000*li7half*ln2 + 
    37632000*li5half*ln2^3 - 47040000*li4half*ln2^4 - 1013600*ln2^8 + 
    369936000*ln2^2*s6 - 370944000*ln2*s7a - 328608000*ln2*s7b - 
    84796425*s8a - 1025640000*s8b + 2016000*s8c - 129024000*s8d + 
    338688000*li4half*ln2^2*z2 + 13484800*ln2^6*z2 + 321552000*s6*z2 + 
    516096000*li4half*z2^2 - 20832000*ln2^4*z2^2 - 142632000*ln2^2*z2^3 + 
    120346272*z2^4 + 180432000*li5half*z3 - 1241856000*li4half*ln2*z3 - 
    51601200*ln2^5*z3 + 311388000*ln2^3*z2*z3 + 631499400*ln2*z2^2*z3 - 
    503874000*ln2^2*z3^2 + 41044500*z2*z3^2 - 51744000*ln2^3*z5 + 
    957915000*ln2*z2*z5 + 101170125*z3*z5 - 2354160375*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, -1, 1, 1, 1] -> 
  (-8467200000*li8half - 3612672000*li7half*ln2 - 479808000*li6half*ln2^2 - 
    65856000*li5half*ln2^3 + 389200*ln2^8 + 1881936000*ln2^2*s6 - 
    705600000*ln2*s7a + 903168000*ln2*s7b - 3837202425*s8a - 
    22644216000*s8b - 2634912000*s8c - 2177280000*s8d + 
    169344000*li6half*z2 + 169344000*li5half*ln2*z2 - 1136800*ln2^6*z2 + 
    6781824000*s6*z2 - 435456000*li4half*z2^2 - 13087200*ln2^4*z2^2 - 
    517104000*ln2^2*z2^3 + 593599392*z2^4 + 4065264000*li5half*z3 - 
    33877200*ln2^5*z3 + 337008000*ln2^3*z2*z3 + 2692431000*ln2*z2^2*z3 - 
    452371500*ln2^2*z3^2 + 2877147000*z2*z3^2 - 1463091000*ln2^3*z5 + 
    4873302000*ln2*z2*z5 - 4026463875*z3*z5 + 7935464250*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, -1, 1, 0, 1] -> 
  (11289600*li4half^2 + 270950400*li7half*ln2 + 67737600*li6half*ln2^2 + 
    3763200*li5half*ln2^3 + 940800*li4half*ln2^4 + 28560*ln2^8 - 
    70761600*ln2^2*s6 + 79833600*ln2*s7a - 69753600*ln2*s7b + 84138075*s8a + 
    454507200*s8b + 41126400*s8c + 77414400*s8d + 42336000*li6half*z2 + 
    2822400*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 - 50960*ln2^6*z2 - 
    187992000*s6*z2 + 5604480*li4half*z2^2 + 3514560*ln2^4*z2^2 + 
    31345440*ln2^2*z2^3 - 19528272*z2^4 - 128721600*li5half*z3 + 
    18345600*li4half*ln2*z3 + 1837080*ln2^5*z3 - 16077600*ln2^3*z2*z3 - 
    57229200*ln2*z2^2*z3 + 81462150*ln2^2*z3^2 - 65198700*z2*z3^2 + 
    144089400*ln2^3*z5 + 98853300*ln2*z2*z5 + 204063300*z3*z5 - 
    591922800*ln2*z7)/5644800, H[-1, -1, 1, 0, -1, -1, 1, -1, 1] -> 
  (254016000*li4half^2 + 14394240000*li8half + 5419008000*li7half*ln2 + 
    592704000*li6half*ln2^2 + 47040000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 - 140000*ln2^8 - 3163104000*ln2^2*s6 + 
    1366848000*ln2*s7a - 1130976000*ln2*s7b + 6007322475*s8a + 
    36988056000*s8b + 4058208000*s8c + 3604608000*s8d - 
    169344000*li5half*ln2*z2 - 127008000*li4half*ln2^2*z2 - 
    5017600*ln2^6*z2 - 11040624000*s6*z2 + 517708800*li4half*z2^2 + 
    26392800*ln2^4*z2^2 + 819705600*ln2^2*z2^3 - 981599904*z2^4 - 
    7117488000*li5half*z3 + 465696000*li4half*ln2*z3 + 78716400*ln2^5*z3 - 
    716604000*ln2^3*z2*z3 - 4731715800*ln2*z2^2*z3 + 1027404000*ln2^2*z3^2 - 
    4506232500*z2*z3^2 + 2347149000*ln2^3*z5 - 8446221000*ln2*z2*z5 + 
    6374883375*z3*z5 - 10794049875*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, -1, 0, 1, 1] -> 
  (48216000*ln2^2*s6 - 36960000*ln2*s7a + 33600000*ln2*s7b - 77323575*s8a - 
    462840000*s8b - 57792000*s8c - 55104000*s8d - 84672000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 117600*ln2^6*z2 + 113736000*s6*z2 - 
    11020800*li4half*z2^2 - 1047200*ln2^4*z2^2 - 8845200*ln2^2*z2^3 + 
    8435268*z2^4 + 127848000*li5half*z3 - 1065400*ln2^5*z3 + 
    11144000*ln2^3*z2*z3 + 70148400*ln2*z2^2*z3 - 30539250*ln2^2*z3^2 + 
    84724500*z2*z3^2 - 67056500*ln2^3*z5 + 152733000*ln2*z2*z5 - 
    177807000*z3*z5 + 140411250*ln2*z7)/9408000, 
 H[-1, -1, 1, 0, -1, -1, 0, 0, 1] -> 
  (-5760*ln2^2*s6 - 34560*ln2*s7a - 88320*ln2*s7b + 22680*s8a - 40320*s8b + 
    134400*s8c - 134400*s8d + 194880*s6*z2 - 26880*li4half*z2^2 - 
    1120*ln2^4*z2^2 - 6464*ln2^2*z2^3 + 48480*z2^4 + 147840*li5half*z3 - 
    1232*ln2^5*z3 + 16800*ln2^3*z2*z3 + 11784*ln2*z2^2*z3 - 
    65040*ln2^2*z3^2 - 64470*z2*z3^2 + 39200*ln2^3*z5 - 119820*ln2*z2*z5 - 
    97125*z3*z5 - 339450*ln2*z7)/53760, H[-1, -1, 1, 0, -1, -1, 0, -1, 1] -> 
  (-75936000*ln2^2*s6 - 1344000*ln2*s7a - 142464000*ln2*s7b + 211368675*s8a + 
    638232000*s8b + 225120000*s8c - 13440000*s8d - 84672000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 117600*ln2^6*z2 - 149520000*s6*z2 - 
    2688000*li4half*z2^2 - 700000*ln2^4*z2^2 + 18093600*ln2^2*z2^3 + 
    18782688*z2^4 + 40992000*li5half*z3 - 341600*ln2^5*z3 + 
    7924000*ln2^3*z2*z3 - 62021400*ln2*z2^2*z3 - 38115000*ln2^2*z3^2 - 
    174058500*z2*z3^2 + 128037000*ln2^3*z5 - 172200000*ln2*z2*z5 + 
    232934625*z3*z5 - 502535250*ln2*z7)/18816000, 
 H[-1, -1, 1, 0, -1, -1, -1, 1, 1] -> 
  (28224000*li4half^2 - 4572288000*li8half - 733824000*li7half*ln2 + 
    141120000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 
    296800*ln2^8 + 928368000*ln2^2*s6 - 175392000*ln2*s7a + 
    135072000*ln2*s7b - 1930836600*s8a - 11964960000*s8b - 1350720000*s8c - 
    1118880000*s8d - 451584000*li6half*z2 - 14112000*li4half*ln2^2*z2 - 
    1489600*ln2^6*z2 + 3303216000*s6*z2 - 246355200*li4half*z2^2 + 
    11726400*ln2^4*z2^2 - 141372000*ln2^2*z2^3 + 345915144*z2^4 + 
    2230704000*li5half*z3 + 49392000*li4half*ln2*z3 - 16942800*ln2^5*z3 + 
    175896000*ln2^3*z2*z3 + 1511319600*ln2*z2^2*z3 - 15183000*ln2^2*z3^2 + 
    1504534500*z2*z3^2 - 368823000*ln2^3*z5 + 3645684000*ln2*z2*z5 - 
    1807517250*z3*z5 + 1365154875*ln2*z7)/56448000, 
 H[-1, -1, 1, 0, -1, -1, -1, 0, 1] -> 
  (-564480*li4half^2 - 47040*li4half*ln2^4 - 980*ln2^8 + 188160*ln2^2*s6 - 
    537600*ln2*s7a + 403200*ln2*s7b - 267750*s8a + 1760640*s8b - 241920*s8c + 
    241920*s8d + 1693440*li6half*z2 + 564480*li5half*ln2*z2 + 
    282240*li4half*ln2^2*z2 + 9408*ln2^6*z2 - 248640*s6*z2 + 
    528192*li4half*z2^2 - 1512*ln2^4*z2^2 - 67984*ln2^2*z2^3 - 131988*z2^4 - 
    624960*li5half*z3 - 987840*li4half*ln2*z3 - 35952*ln2^5*z3 + 
    136080*ln2^3*z2*z3 + 164640*ln2*z2^2*z3 - 438060*ln2^2*z3^2 + 
    326970*z2*z3^2 - 795760*ln2^3*z5 - 1696380*ln2*z2*z5 - 1700475*z3*z5 + 
    1651860*ln2*z7)/376320, H[-1, -1, 1, 0, -1, -1, -1, -1, 1] -> 
  (-21168000*li4half^2 - 479808000*li8half - 268128000*li7half*ln2 - 
    63504000*li6half*ln2^2 - 7056000*li5half*ln2^3 - 1764000*li4half*ln2^4 - 
    24850*ln2^8 + 21924000*ln2^2*s6 - 43848000*ln2*s7a + 9072000*ln2*s7b - 
    41395725*s8a - 496692000*s8b - 9072000*s8c - 43848000*s8d + 
    10584000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 114156000*s6*z2 + 
    8164800*li4half*z2^2 - 982800*ln2^4*z2^2 - 2746800*ln2^2*z2^3 + 
    23075874*z2^4 + 85932000*li5half*z3 - 38808000*li4half*ln2*z3 - 
    2230200*ln2^5*z3 + 16863000*ln2^3*z2*z3 + 50028300*ln2*z2^2*z3 - 
    44383500*ln2^2*z3^2 + 19041750*z2*z3^2 - 36529500*ln2^3*z5 - 
    1086750*ln2*z2*z5 + 98933625*z3*z5 + 363848625*ln2*z7)/14112000, 
 H[-1, -1, 1, -1, 1, 1, 1, 1, 1] -> 
  (-1072512000*li8half - 677376000*li7half*ln2 - 141120000*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 11200*ln2^8 + 119952000*ln2^2*s6 - 
    86688000*ln2*s7a + 40320000*ln2*s7b - 178004925*s8a - 1426824000*s8b - 
    66528000*s8c - 187488000*s8d + 78400*ln2^6*z2 + 501984000*s6*z2 - 
    37497600*li4half*z2^2 - 4384800*ln2^4*z2^2 - 46351200*ln2^2*z2^3 + 
    75911592*z2^4 + 382032000*li5half*z3 - 2713200*ln2^5*z3 + 
    17724000*ln2^3*z2*z3 + 98695800*ln2*z2^2*z3 - 70780500*ln2^2*z3^2 + 
    77899500*z2*z3^2 - 108927000*ln2^3*z5 - 78057000*ln2*z2*z5 + 
    74284875*z3*z5 + 1063613250*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 1, 1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 508032000*li8half + 56448000*li7half*ln2 + 
    84672000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 14000*ln2^8 - 
    102816000*ln2^2*s6 + 68544000*ln2*s7a - 171360000*ln2*s7b + 
    108511200*s8a + 302400000*s8b + 181440000*s8c - 26208000*s8d + 
    197568000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 38304000*s6*z2 + 
    13104000*li4half*z2^2 + 2604000*ln2^4*z2^2 + 36540000*ln2^2*z2^3 + 
    96083592*z2^4 + 10080000*li5half*z3 - 63504000*li4half*ln2*z3 - 
    2259600*ln2^5*z3 + 21420000*ln2^3*z2*z3 + 68518800*ln2*z2^2*z3 - 
    38619000*ln2^2*z3^2 - 90657000*z2*z3^2 + 232701000*ln2^3*z5 + 
    8883000*ln2*z2*z5 - 236722500*z3*z5 - 1340332875*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 1, 1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 1128960000*li8half + 733824000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 - 86800*ln2^8 - 136080000*ln2^2*s6 + 
    118944000*ln2*s7a - 149184000*ln2*s7b + 260566425*s8a + 2412648000*s8b + 
    175392000*s8c + 219744000*s8d + 42336000*li4half*ln2^2*z2 + 
    1489600*ln2^6*z2 - 637056000*s6*z2 + 111686400*li4half*z2^2 + 
    2184000*ln2^4*z2^2 + 34255200*ln2^2*z2^3 - 6211872*z2^4 - 
    453600000*li5half*z3 - 155232000*li4half*ln2*z3 - 2746800*ln2^5*z3 + 
    15120000*ln2^3*z2*z3 - 91513800*ln2*z2^2*z3 + 23026500*ln2^2*z3^2 - 
    137056500*z2*z3^2 + 200067000*ln2^3*z5 + 75663000*ln2*z2*z5 - 
    302533875*z3*z5 - 2516991750*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 1, 1, 0, 1, 1] -> 
  (254016000*li4half^2 + 4007808000*li8half + 1919232000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 
    14112000*li4half*ln2^4 + 257600*ln2^8 - 770112000*ln2^2*s6 + 
    463680000*ln2*s7a - 143136000*ln2*s7b + 1259916525*s8a + 8043336000*s8b + 
    655200000*s8c + 939456000*s8d - 84672000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 211680000*li4half*ln2^2*z2 - 
    6899200*ln2^6*z2 - 2655072000*s6*z2 - 28022400*li4half*z2^2 + 
    23352000*ln2^4*z2^2 + 225792000*ln2^2*z2^3 - 365621496*z2^4 - 
    1780128000*li5half*z3 + 571536000*li4half*ln2*z3 + 37296000*ln2^5*z3 - 
    290052000*ln2^3*z2*z3 - 1238265000*ln2*z2^2*z3 + 596169000*ln2^2*z3^2 - 
    879039000*z2*z3^2 + 632247000*ln2^3*z5 - 1195425000*ln2*z2*z5 + 
    1691116875*z3*z5 - 2288923875*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 1, 1, 0, 0, 1] -> (-9408000*li4half^2 + 112896000*li8half + 
    37632000*li7half*ln2 + 9408000*li6half*ln2^2 + 3136000*li5half*ln2^3 - 
    1400*ln2^8 + 11592000*ln2^2*s6 + 13440000*ln2*s7a + 32256000*ln2*s7b - 
    28090650*s8a - 29736000*s8b - 47712000*s8c + 24192000*s8d + 
    9408000*li6half*z2 - 4704000*li5half*ln2*z2 + 2352000*li4half*ln2^2*z2 + 
    98000*ln2^6*z2 - 47208000*s6*z2 + 14481600*li4half*z2^2 - 
    278600*ln2^4*z2^2 - 10651200*ln2^2*z2^3 - 35640324*z2^4 - 
    70728000*li5half*z3 - 38808000*li4half*ln2*z3 - 949200*ln2^5*z3 + 
    3906000*ln2^3*z2*z3 - 8148000*ln2*z2^2*z3 + 4179000*ln2^2*z3^2 + 
    41847750*z2*z3^2 - 21927500*ln2^3*z5 + 66171000*ln2*z2*z5 + 
    49000875*z3*z5 + 240631125*ln2*z7)/9408000, 
 H[-1, -1, 1, -1, 1, 1, 0, -1, 1] -> 
  (2483712000*li8half + 1241856000*li7half*ln2 + 338688000*li6half*ln2^2 + 
    65856000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 30800*ln2^8 + 
    55440000*ln2^2*s6 + 397152000*ln2*s7a + 256032000*ln2*s7b - 
    224631225*s8a + 849240000*s8b - 651168000*s8c + 721728000*s8d - 
    84672000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 980000*ln2^6*z2 - 
    1478736000*s6*z2 + 144345600*li4half*z2^2 + 6720000*ln2^4*z2^2 - 
    47174400*ln2^2*z2^3 - 611016816*z2^4 - 1450512000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 12675600*ln2^5*z3 - 125580000*ln2^3*z2*z3 - 
    311635800*ln2*z2^2*z3 + 565740000*ln2^2*z3^2 + 388710000*z2*z3^2 + 
    69531000*ln2^3*z5 + 1371195000*ln2*z2*z5 + 1206946125*z3*z5 + 
    2318140125*ln2*z7)/56448000, H[-1, -1, 1, -1, 1, 1, -1, 1, 1] -> 
  (254016000*li4half^2 + 677376000*li8half + 338688000*li7half*ln2 - 
    28224000*li5half*ln2^3 + 14112000*li4half*ln2^4 + 333200*ln2^8 - 
    402192000*ln2^2*s6 + 133056000*ln2*s7a - 205632000*ln2*s7b + 
    656458425*s8a + 2904552000*s8b + 538272000*s8c + 139104000*s8d - 
    127008000*li4half*ln2^2*z2 - 4939200*ln2^6*z2 - 616896000*s6*z2 - 
    175392000*li4half*z2^2 + 11390400*ln2^4*z2^2 + 143522400*ln2^2*z2^3 + 
    28410288*z2^4 - 257040000*li5half*z3 + 465696000*li4half*ln2*z3 + 
    20252400*ln2^5*z3 - 123732000*ln2^3*z2*z3 - 482365800*ln2*z2^2*z3 + 
    155011500*ln2^2*z3^2 - 577678500*z2*z3^2 + 382347000*ln2^3*z5 - 
    1000188000*ln2*z2*z5 + 712506375*z3*z5 - 1453740750*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 1, 1, -1, 0, 1] -> 
  (-169344000*li4half^2 + 677376000*li8half + 112896000*li7half*ln2 + 
    9408000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 182000*ln2^8 + 
    43344000*ln2^2*s6 + 50400000*ln2*s7a + 276192000*ln2*s7b - 
    168543900*s8a - 178416000*s8b - 286272000*s8c + 145152000*s8d - 
    169344000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 3645600*ln2^6*z2 - 389088000*s6*z2 + 
    164505600*li4half*z2^2 - 9315600*ln2^4*z2^2 - 57153600*ln2^2*z2^3 - 
    170048544*z2^4 - 276192000*li5half*z3 - 310464000*li4half*ln2*z3 - 
    9870000*ln2^5*z3 + 54012000*ln2^3*z2*z3 + 3729600*ln2*z2^2*z3 - 
    50652000*ln2^2*z3^2 + 271152000*z2*z3^2 - 223587000*ln2^3*z5 + 
    203175000*ln2*z2*z5 + 19813500*z3*z5 + 1951905375*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 1, 1, -1, -1, 1] -> 
  (-846720000*li8half - 508032000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    39200*ln2^8 + 371952000*ln2^2*s6 - 72576000*ln2*s7a + 435456000*ln2*s7b - 
    828089325*s8a - 4289544000*s8b - 768096000*s8c - 78624000*s8d + 
    235200*ln2^6*z2 + 580608000*s6*z2 - 15724800*li4half*z2^2 - 
    3477600*ln2^4*z2^2 - 83647200*ln2^2*z2^3 - 184487112*z2^4 + 
    157248000*li5half*z3 - 1251600*ln2^5*z3 - 1008000*ln2^3*z2*z3 + 
    318087000*ln2*z2^2*z3 + 86530500*ln2^2*z3^2 + 714325500*z2*z3^2 - 
    491715000*ln2^3*z5 + 1009260000*ln2*z2*z5 + 60976125*z3*z5 + 
    4290630750*ln2*z7)/56448000, H[-1, -1, 1, -1, 1, 0, 1, 1, 1] -> 
  (-254016000*li4half^2 - 733824000*li8half - 508032000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 28224000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 358400*ln2^8 + 238896000*ln2^2*s6 - 
    199584000*ln2*s7a + 308448000*ln2*s7b - 617640975*s8a - 2773512000*s8b - 
    417312000*s8c - 203616000*s8d + 254016000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 127008000*li4half*ln2^2*z2 + 4508000*ln2^6*z2 + 
    865872000*s6*z2 + 154022400*li4half*z2^2 - 7400400*ln2^4*z2^2 - 
    90064800*ln2^2*z2^3 + 46422864*z2^4 + 428400000*li5half*z3 - 
    444528000*li4half*ln2*z3 - 20798400*ln2^5*z3 + 146832000*ln2^3*z2*z3 + 
    516033000*ln2*z2^2*z3 - 349996500*ln2^2*z3^2 + 599854500*z2*z3^2 - 
    463050000*ln2^3*z5 + 371007000*ln2*z2*z5 - 1438108875*z3*z5 + 
    1637519625*ln2*z7)/56448000, H[-1, -1, 1, -1, 1, 0, 1, 0, 1] -> 
  (11289600*li4half^2 - 225792000*li8half - 158054400*li7half*ln2 - 
    45158400*li6half*ln2^2 - 7526400*li5half*ln2^3 + 6160*ln2^8 + 
    66326400*ln2^2*s6 - 58060800*ln2*s7a + 46368000*ln2*s7b - 124779375*s8a - 
    787248000*s8b - 67334400*s8c - 104832000*s8d - 62092800*li6half*z2 - 
    31046400*li5half*ln2*z2 - 11289600*li4half*ln2^2*z2 - 250880*ln2^6*z2 + 
    267523200*s6*z2 - 28304640*li4half*z2^2 - 656040*ln2^4*z2^2 - 
    18197760*ln2^2*z2^3 + 36660636*z2^4 + 204019200*li5half*z3 + 
    25401600*li4half*ln2*z3 - 735840*ln2^5*z3 + 10533600*ln2^3*z2*z3 + 
    86100840*ln2*z2^2*z3 - 36470700*ln2^2*z3^2 + 82076400*z2*z3^2 - 
    94491600*ln2^3*z5 + 79953300*ln2*z2*z5 - 179472825*z3*z5 + 
    379979775*ln2*z7)/5644800, H[-1, -1, 1, -1, 1, 0, 1, -1, 1] -> 
  (169344000*li4half^2 - 7902720000*li8half - 3358656000*li7half*ln2 - 
    592704000*li6half*ln2^2 - 61152000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 254800*ln2^8 + 1173312000*ln2^2*s6 - 
    705600000*ln2*s7a + 733824000*ln2*s7b - 2480508450*s8a - 
    16760016000*s8b - 1499904000*s8c - 1774080000*s8d + 
    84672000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 3959200*ln2^6*z2 + 
    5185152000*s6*z2 - 490291200*li4half*z2^2 + 1562400*ln2^4*z2^2 - 
    178970400*ln2^2*z2^3 + 644700888*z2^4 + 3541104000*li5half*z3 + 
    310464000*li4half*ln2*z3 - 16808400*ln2^5*z3 + 159264000*ln2^3*z2*z3 + 
    1828436400*ln2*z2^2*z3 - 521797500*ln2^2*z3^2 + 1737036000*z2*z3^2 - 
    1315576500*ln2^3*z5 + 2030553000*ln2*z2*z5 - 2394661500*z3*z5 + 
    6991007625*ln2*z7)/28224000, H[-1, -1, 1, -1, 1, 0, 0, 1, 1] -> 
  (-1241856000*li8half - 451584000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    19600*ln2^8 + 56448000*ln2^2*s6 + 120960000*ln2*s7a - 330624000*ln2*s7b + 
    317754675*s8a + 750456000*s8b + 54432000*s8c + 270144000*s8d - 
    395136000*li6half*z2 - 169344000*li5half*ln2*z2 + 1019200*ln2^6*z2 - 
    977760000*s6*z2 + 54028800*li4half*z2^2 - 2217600*ln2^4*z2^2 + 
    31886400*ln2^2*z2^3 - 51436872*z2^4 - 265104000*li5half*z3 + 
    1856400*ln2^5*z3 - 12684000*ln2^3*z2*z3 - 9613800*ln2*z2^2*z3 + 
    171769500*ln2^2*z3^2 - 206860500*z2*z3^2 + 350742000*ln2^3*z5 + 
    796446000*ln2*z2*z5 + 1631408625*z3*z5 - 865147500*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 1, 0, 0, 0, 1] -> (-42336000*ln2^2*s6 - 2016000*ln2*s7a - 
    37296000*ln2*s7b + 63089775*s8a + 333648000*s8b + 88704000*s8c - 
    4032000*s8d - 14112000*li6half*z2 - 19600*ln2^6*z2 - 18396000*s6*z2 - 
    806400*li4half*z2^2 + 54600*ln2^4*z2^2 + 14590800*ln2^2*z2^3 + 
    46455354*z2^4 - 23688000*li5half*z3 + 197400*ln2^5*z3 - 
    2856000*ln2^3*z2*z3 - 31487400*ln2*z2^2*z3 - 9702000*ln2^2*z3^2 - 
    62118000*z2*z3^2 + 38881500*ln2^3*z5 - 168682500*ln2*z2*z5 - 
    73174500*z3*z5 - 352107000*ln2*z7)/14112000, 
 H[-1, -1, 1, -1, 1, 0, 0, -1, 1] -> 
  (564480000*li8half + 225792000*li7half*ln2 + 28224000*li6half*ln2^2 + 
    8400*ln2^8 - 335160000*ln2^2*s6 + 116928000*ln2*s7a - 221760000*ln2*s7b + 
    677046825*s8a + 3820320000*s8b + 514080000*s8c + 304416000*s8d - 
    112896000*li6half*z2 - 42336000*li5half*ln2*z2 + 156800*ln2^6*z2 - 
    1071000000*s6*z2 + 60883200*li4half*z2^2 + 1213800*ln2^4*z2^2 + 
    105596400*ln2^2*z2^3 + 56149812*z2^4 - 524160000*li5half*z3 + 
    4544400*ln2^5*z3 - 41328000*ln2^3*z2*z3 - 398928600*ln2*z2^2*z3 + 
    31531500*ln2^2*z3^2 - 504189000*z2*z3^2 + 325899000*ln2^3*z5 - 
    886630500*ln2*z2*z5 + 523789875*z3*z5 - 2083016250*ln2*z7)/28224000, 
 H[-1, -1, 1, -1, 1, 0, -1, 1, 1] -> 
  (-169344000*li4half^2 + 8241408000*li8half + 3782016000*li7half*ln2 + 
    762048000*li6half*ln2^2 + 89376000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 330400*ln2^8 - 1221696000*ln2^2*s6 + 
    808416000*ln2*s7a - 1054368000*ln2*s7b + 2845098900*s8a + 
    18229680000*s8b + 1729728000*s8c + 1925280000*s8d - 84672000*li6half*z2 - 
    127008000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 4547200*ln2^6*z2 - 
    5762736000*s6*z2 + 520531200*li4half*z2^2 - 2242800*ln2^4*z2^2 + 
    190360800*ln2^2*z2^3 - 732088656*z2^4 - 3780000000*li5half*z3 - 
    310464000*li4half*ln2*z3 + 18328800*ln2^5*z3 - 179172000*ln2^3*z2*z3 - 
    1943424000*ln2*z2^2*z3 + 641371500*ln2^2*z3^2 - 2037073500*z2*z3^2 + 
    1682929500*ln2^3*z5 - 1785703500*ln2*z2*z5 + 3216717000*z3*z5 - 
    8495211375*ln2*z7)/28224000, H[-1, -1, 1, -1, 1, 0, -1, 0, 1] -> 
  (112896000*li4half^2 - 2257920000*li8half - 1580544000*li7half*ln2 - 
    451584000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 61600*ln2^8 + 
    432432000*ln2^2*s6 - 635040000*ln2*s7a + 197568000*ln2*s7b - 
    893250225*s8a - 5939640000*s8b - 102816000*s8c - 1139040000*s8d - 
    282240000*li6half*z2 - 141120000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 3449600*ln2^6*z2 + 2955456000*s6*z2 - 
    301190400*li4half*z2^2 - 495600*ln2^4*z2^2 - 124101600*ln2^2*z2^3 + 
    631760184*z2^4 + 2115792000*li5half*z3 + 254016000*li4half*ln2*z3 - 
    7753200*ln2^5*z3 + 97524000*ln2^3*z2*z3 + 694449000*ln2*z2^2*z3 - 
    509449500*ln2^2*z3^2 + 502015500*z2*z3^2 - 709275000*ln2^3*z5 - 
    253386000*ln2*z2*z5 - 2764164375*z3*z5 + 1202166000*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 1, 0, -1, -1, 1] -> 
  (11289600*li8half - 22579200*li7half*ln2 - 11289600*li6half*ln2^2 - 
    1881600*li5half*ln2^3 + 4760*ln2^8 - 7862400*ln2^2*s6 - 
    17337600*ln2*s7a + 5241600*ln2*s7b + 17814825*s8a + 73886400*s8b + 
    27820800*s8c - 22176000*s8d - 23520*ln2^6*z2 + 41529600*s6*z2 - 
    4435200*li4half*z2^2 - 372960*ln2^4*z2^2 + 1599360*ln2^2*z2^3 + 
    20147976*z2^4 + 47174400*li5half*z3 - 306880*ln2^5*z3 + 
    3931200*ln2^3*z2*z3 + 2608200*ln2*z2^2*z3 - 29715000*ln2^2*z3^2 - 
    18528300*z2*z3^2 - 19933200*ln2^3*z5 - 99565200*ln2*z2*z5 - 
    86339925*z3*z5 - 79958025*ln2*z7)/3763200, 
 H[-1, -1, 1, -1, 1, -1, 1, 1, 1] -> 
  (-18144000*li4half^2 + 12096000*li7half*ln2 + 6048000*li6half*ln2^2 + 
    2016000*li5half*ln2^3 - 1008000*li4half*ln2^4 - 21200*ln2^8 - 
    1080000*ln2^2*s6 - 432000*ln2*s7a + 2592000*ln2*s7b - 7257600*s8a + 
    9072000*li4half*ln2^2*z2 + 344400*ln2^6*z2 + 14515200*li4half*z2^2 - 
    327600*ln2^4*z2^2 - 1216800*ln2^2*z2^3 + 3566304*z2^4 - 
    1512000*li5half*z3 - 33264000*li4half*ln2*z3 - 1377600*ln2^5*z3 + 
    9198000*ln2^3*z2*z3 + 11728800*ln2*z2^2*z3 - 16636500*ln2^2*z3^2 + 
    17388000*z2*z3^2 - 6867000*ln2^3*z5 + 7411500*ln2*z2*z5 - 
    63574875*z3*z5 - 23452875*ln2*z7)/4032000, 
 H[-1, -1, 1, -1, 1, -1, 1, 0, 1] -> 
  (79027200*li8half + 16934400*li7half*ln2 - 1400*ln2^8 + 403200*ln2^2*s6 - 
    604800*ln2*s7a + 3628800*ln2*s7b + 7156800*s8a + 99691200*s8b + 
    403200*s8c + 12297600*s8d + 19600*ln2^6*z2 - 30945600*s6*z2 + 
    2459520*li4half*z2^2 - 103320*ln2^4*z2^2 - 1779120*ln2^2*z2^3 - 
    8429472*z2^4 - 24595200*li5half*z3 + 157920*ln2^5*z3 - 
    3343200*ln2^3*z2*z3 - 12778920*ln2*z2^2*z3 + 6948900*ln2^2*z3^2 - 
    13929300*z2*z3^2 - 5042100*ln2^3*z5 - 32640300*ln2*z2*z5 + 
    31865400*z3*z5 + 27406575*ln2*z7)/5644800, 
 H[-1, -1, 1, -1, 1, -1, 1, -1, 1] -> 
  (21168000*li8half + 350*ln2^8 + 2268000*ln2^2*s6 - 5962950*s8a - 
    28728000*s8b - 4536000*s8c - 756000*s8d - 14700*ln2^6*z2 + 
    4158000*s6*z2 - 151200*li4half*z2^2 - 359100*ln2^4*z2^2 - 
    4334400*ln2^2*z2^3 - 5548797*z2^4 + 1512000*li5half*z3 + 
    149100*ln2^5*z3 - 1638000*ln2^3*z2*z3 + 3430350*ln2*z2^2*z3 + 
    3173625*ln2^2*z3^2 + 1582875*z2*z3^2 + 8599500*ln2^3*z5 - 
    12852000*ln2*z2*z5 + 10465875*z3*z5 + 82356750*ln2*z7)/7056000, 
 H[-1, -1, 1, -1, 1, -1, 0, 1, 1] -> 
  (84672000*li4half^2 - 1100736000*li8half - 578592000*li7half*ln2 - 
    134064000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 107100*ln2^8 + 178668000*ln2^2*s6 - 
    88200000*ln2*s7a + 98784000*ln2*s7b - 301884975*s8a - 2235492000*s8b - 
    226800000*s8c - 207144000*s8d - 21168000*li6half*z2 - 
    42336000*li4half*ln2^2*z2 - 1607200*ln2^6*z2 + 636552000*s6*z2 - 
    109166400*li4half*z2^2 + 1228500*ln2^4*z2^2 - 21861000*ln2^2*z2^3 + 
    63784404*z2^4 + 428400000*li5half*z3 + 155232000*li4half*ln2*z3 + 
    2515800*ln2^5*z3 - 9576000*ln2^3*z2*z3 + 198418500*ln2*z2^2*z3 - 
    1291500*ln2^2*z3^2 + 175171500*z2*z3^2 - 180846750*ln2^3*z5 + 
    281184750*ln2*z2*z5 + 2638125*z3*z5 + 1141969500*ln2*z7)/14112000, 
 H[-1, -1, 1, -1, 1, -1, 0, 0, 1] -> 
  (-56448000*li8half - 11289600*li7half*ln2 + 840*ln2^8 - 10886400*ln2^2*s6 - 
    201600*ln2*s7a - 12902400*ln2*s7b + 10990350*s8a + 28022400*s8b + 
    22176000*s8c - 6652800*s8d - 8467200*li6half*z2 - 19600*ln2^6*z2 + 
    7660800*s6*z2 - 1330560*li4half*z2^2 + 297360*ln2^4*z2^2 + 
    6123600*ln2^2*z2^3 + 17390844*z2^4 + 13305600*li5half*z3 - 
    75600*ln2^5*z3 + 638400*ln2^3*z2*z3 + 5707800*ln2*z2^2*z3 - 
    7780500*ln2^2*z3^2 - 3843000*z2*z3^2 + 14067900*ln2^3*z5 - 
    31052700*ln2*z2*z5 - 42118650*z3*z5 - 106950375*ln2*z7)/5644800, 
 H[-1, -1, 1, -1, 1, -1, 0, -1, 1] -> 
  (2016000*li4half^2 - 15120000*li8half - 7728000*li7half*ln2 - 
    2184000*li6half*ln2^2 - 448000*li5half*ln2^3 + 112000*li4half*ln2^4 + 
    3025*ln2^8 - 1218000*ln2^2*s6 - 588000*ln2*s7a + 336000*ln2*s7b + 
    526050*s8a - 6930000*s8b + 2016000*s8c - 2520000*s8d - 
    504000*li6half*z2 - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 + 
    5418000*s6*z2 - 2116800*li4half*z2^2 + 65100*ln2^4*z2^2 + 
    950400*ln2^2*z2^3 + 2798868*z2^4 + 5376000*li5half*z3 + 
    3696000*li4half*ln2*z3 + 108500*ln2^5*z3 - 553000*ln2^3*z2*z3 - 
    411600*ln2*z2^2*z3 - 585375*ln2^2*z3^2 - 1404375*z2*z3^2 - 
    468125*ln2^3*z5 - 8292375*ln2*z2*z5 - 1446375*z3*z5 + 2147250*ln2*z7)/
   336000, H[-1, -1, 1, -1, 1, -1, -1, 1, 1] -> 
  (423360000*li8half + 254016000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    14112000*li5half*ln2^3 - 40600*ln2^8 + 60480000*ln2^2*s6 + 
    63504000*ln2*s7a - 84672000*ln2*s7b + 111387150*s8a + 553392000*s8b - 
    78624000*s8c + 184464000*s8d + 176400*ln2^6*z2 - 421848000*s6*z2 + 
    36892800*li4half*z2^2 + 126000*ln2^4*z2^2 - 14616000*ln2^2*z2^3 - 
    158598036*z2^4 - 379512000*li5half*z3 + 3192000*ln2^5*z3 - 
    38682000*ln2^3*z2*z3 - 87658200*ln2*z2^2*z3 + 175329000*ln2^2*z3^2 - 
    97807500*z2*z3^2 + 116424000*ln2^3*z5 + 489226500*ln2*z2*z5 + 
    810880875*z3*z5 - 375732000*ln2*z7)/28224000, 
 H[-1, -1, 1, -1, 1, -1, -1, 0, 1] -> 
  (-42336000*li4half^2 - 423360000*li8half - 112896000*li7half*ln2 - 
    14112000*li6half*ln2^2 - 4704000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    91000*ln2^8 + 59472000*ln2^2*s6 - 119952000*ln2*s7a - 98784000*ln2*s7b - 
    111387150*s8a - 553392000*s8b + 78624000*s8c - 184464000*s8d - 
    42336000*li6half*z2 - 42336000*li5half*ln2*z2 + 294000*ln2^6*z2 + 
    432432000*s6*z2 + 3326400*li4half*z2^2 + 1167600*ln2^4*z2^2 - 
    19605600*ln2^2*z2^3 + 162992916*z2^4 + 383040000*li5half*z3 - 
    59976000*li4half*ln2*z3 - 5661600*ln2^5*z3 + 47208000*ln2^3*z2*z3 + 
    170654400*ln2*z2^2*z3 - 137844000*ln2^2*z3^2 + 94059000*z2*z3^2 - 
    2131500*ln2^3*z5 + 136332000*ln2*z2*z5 - 824992875*z3*z5 - 
    969318000*ln2*z7)/28224000, H[-1, -1, 1, -1, 1, -1, -1, -1, 1] -> 
  (42336000*li4half^2 - 451584000*li8half - 282240000*li7half*ln2 - 
    98784000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 
    89600*ln2^8 - 57960000*ln2^2*s6 - 68544000*ln2*s7a - 26208000*ln2*s7b + 
    93217950*s8a + 73584000*s8b + 189504000*s8c - 189504000*s8d - 
    21168000*li4half*ln2^2*z2 - 960400*ln2^6*z2 + 379008000*s6*z2 - 
    71769600*li4half*z2^2 + 1066800*ln2^4*z2^2 + 22327200*ln2^2*z2^3 + 
    177730992*z2^4 + 393120000*li5half*z3 + 77616000*li4half*ln2*z3 - 
    277200*ln2^5*z3 + 20412000*ln2^3*z2*z3 + 33390000*ln2*z2^2*z3 - 
    144522000*ln2^2*z3^2 - 121401000*z2*z3^2 - 48069000*ln2^3*z5 - 
    492849000*ln2*z2*z5 - 457931250*z3*z5 - 695212875*ln2*z7)/28224000, 
 H[-1, -1, 1, -1, 0, 1, 1, 1, 1] -> 
  (395136000*li8half + 225792000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 141400*ln2^8 + 
    166320000*ln2^2*s6 - 14112000*ln2*s7a + 112896000*ln2*s7b - 
    193553325*s8a - 917784000*s8b - 276192000*s8c + 22176000*s8d - 
    282240000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1254400*ln2^6*z2 - 65520000*s6*z2 + 
    7257600*li4half*z2^2 + 1713600*ln2^4*z2^2 - 32306400*ln2^2*z2^3 - 
    71275752*z2^4 + 273168000*li5half*z3 + 148176000*li4half*ln2*z3 + 
    4720800*ln2^5*z3 - 14280000*ln2^3*z2*z3 + 230391000*ln2*z2^2*z3 + 
    46777500*ln2^2*z3^2 + 262048500*z2*z3^2 - 183456000*ln2^3*z5 + 
    821079000*ln2*z2*z5 - 461073375*z3*z5 + 286760250*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 0, 1, 1, 0, 1] -> 
  (2822400*li4half^2 + 235200*li4half*ln2^4 + 4900*ln2^8 + 2755200*ln2^2*s6 + 
    604800*ln2*s7a + 5779200*ln2*s7b - 9768675*s8a - 36758400*s8b - 
    8601600*s8c - 1276800*s8d + 2822400*li6half*z2 + 2822400*li5half*ln2*z2 - 
    19600*ln2^6*z2 + 10315200*s6*z2 - 2795520*li4half*z2^2 - 
    77280*ln2^4*z2^2 - 152880*ln2^2*z2^3 - 1338852*z2^4 - 
    8030400*li5half*z3 - 705600*li4half*ln2*z3 + 37520*ln2^5*z3 - 
    61600*ln2^3*z2*z3 - 2965200*ln2*z2^2*z3 + 2105250*ln2^2*z3^2 + 
    6443850*z2*z3^2 - 5272400*ln2^3*z5 + 640500*ln2*z2*z5 + 7466550*z3*z5 + 
    44355150*ln2*z7)/1881600, H[-1, -1, 1, -1, 0, 1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 14224896000*li8half + 5193216000*li7half*ln2 + 
    592704000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 
    177800*ln2^8 - 2813328000*ln2^2*s6 + 1199520000*ln2*s7a - 
    1495872000*ln2*s7b + 5565657825*s8a + 34336008000*s8b + 3792096000*s8c + 
    3320352000*s8d + 169344000*li5half*ln2*z2 + 211680000*li4half*ln2^2*z2 + 
    6428800*ln2^6*z2 - 10196928000*s6*z2 + 744508800*li4half*z2^2 - 
    7434000*ln2^4*z2^2 + 544874400*ln2^2*z2^3 - 1076539248*z2^4 - 
    6774768000*li5half*z3 - 310464000*li4half*ln2*z3 + 42285600*ln2^5*z3 - 
    370524000*ln2^3*z2*z3 - 4098339000*ln2*z2^2*z3 + 864927000*ln2^2*z3^2 - 
    4207423500*z2*z3^2 + 2653350000*ln2^3*z5 - 7226037000*ln2*z2*z5 + 
    6141499875*z3*z5 - 11085196500*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 0, 1, 0, 1, 1] -> 
  (-254016000*li4half^2 + 225792000*li8half + 677376000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 75264000*li5half*ln2^3 - 
    11760000*li4half*ln2^4 - 334600*ln2^8 - 234864000*ln2^2*s6 + 
    64512000*ln2*s7a - 641088000*ln2*s7b + 717779475*s8a + 3659544000*s8b + 
    820512000*s8c + 40320000*s8d + 959616000*li6half*z2 + 
    620928000*li5half*ln2*z2 + 324576000*li4half*ln2^2*z2 + 
    9212000*ln2^6*z2 - 101808000*s6*z2 + 266313600*li4half*z2^2 - 
    23125200*ln2^4*z2^2 - 2217600*ln2^2*z2^3 + 42884496*z2^4 - 
    525168000*li5half*z3 - 719712000*li4half*ln2*z3 - 23965200*ln2^5*z3 + 
    166740000*ln2^3*z2*z3 - 113740200*ln2*z2^2*z3 - 264505500*ln2^2*z3^2 - 
    790681500*z2*z3^2 + 611226000*ln2^3*z5 - 1301580000*ln2*z2*z5 + 
    319024125*z3*z5 - 4323138750*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 0, 1, 0, 0, 1] -> (13776000*ln2^2*s6 + 5376000*ln2*s7a + 
    10080000*ln2*s7b - 33342225*s8a - 181440000*s8b - 28896000*s8c - 
    13440000*s8d + 56448000*li6half*z2 + 37632000*li5half*ln2*z2 + 
    9408000*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 92736000*s6*z2 + 
    13070400*li4half*z2^2 - 317800*ln2^4*z2^2 - 12140800*ln2^2*z2^3 - 
    11870816*z2^4 + 95088000*li5half*z3 + 44688000*li4half*ln2*z3 + 
    1069600*ln2^5*z3 - 2072000*ln2^3*z2*z3 + 60996600*ln2*z2^2*z3 + 
    11224500*ln2^2*z3^2 + 5355000*z2*z3^2 - 5586000*ln2^3*z5 + 
    8274000*ln2*z2*z5 - 110016375*z3*z5 + 20312250*ln2*z7)/9408000, 
 H[-1, -1, 1, -1, 0, 1, 0, -1, 1] -> 
  (-338688000*li7half*ln2 - 169344000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 50400*ln2^8 + 
    7056000*ln2^2*s6 - 258048000*ln2*s7a - 131040000*ln2*s7b + 
    190852200*s8a + 229824000*s8b + 374976000*s8c - 374976000*s8d + 
    211680000*li6half*z2 + 155232000*li5half*ln2*z2 + 
    49392000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 + 855792000*s6*z2 - 
    64411200*li4half*z2^2 - 8593200*ln2^4*z2^2 - 41328000*ln2^2*z2^3 + 
    199296792*z2^4 + 700560000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    7308000*ln2^5*z3 + 74844000*ln2^3*z2*z3 + 137944800*ln2*z2^2*z3 - 
    337144500*ln2^2*z3^2 - 294903000*z2*z3^2 - 86877000*ln2^3*z5 - 
    930289500*ln2*z2*z5 - 859115250*z3*z5 - 1321448625*ln2*z7)/28224000, 
 H[-1, -1, 1, -1, 0, 1, -1, 1, 1] -> 
  (-7257600*li4half^2 - 774144000*li8half - 299980800*li7half*ln2 - 
    41126400*li6half*ln2^2 - 2956800*li5half*ln2^3 - 806400*li4half*ln2^4 - 
    13160*ln2^8 + 149328000*ln2^2*s6 - 68083200*ln2*s7a + 89971200*ln2*s7b - 
    308377125*s8a - 1890907200*s8b - 209260800*s8c - 180230400*s8d + 
    2419200*li6half*z2 - 2419200*li4half*ln2^2*z2 - 48160*ln2^6*z2 + 
    557625600*s6*z2 - 31933440*li4half*z2^2 - 65520*ln2^4*z2^2 - 
    31484160*ln2^2*z2^3 + 54863352*z2^4 + 362678400*li5half*z3 - 
    1209600*li4half*ln2*z3 - 3072720*ln2^5*z3 + 23872800*ln2^3*z2*z3 + 
    221715720*ln2*z2^2*z3 - 49817700*ln2^2*z3^2 + 233433900*z2*z3^2 - 
    149566200*ln2^3*z5 + 358552800*ln2*z2*z5 - 328162275*z3*z5 + 
    715940550*ln2*z7)/1612800, H[-1, -1, 1, -1, 0, 1, -1, 0, 1] -> 
  (225792000*li4half^2 + 6773760000*li8half + 5419008000*li7half*ln2 + 
    1354752000*li6half*ln2^2 + 150528000*li5half*ln2^3 + 
    28224000*li4half*ln2^4 + 504000*ln2^8 - 1547280000*ln2^2*s6 + 
    1380960000*ln2*s7a - 1596672000*ln2*s7b + 3036878775*s8a + 
    19517400000*s8b + 1800288000*s8c + 2348640000*s8d + 
    1270080000*li6half*z2 + 366912000*li5half*ln2*z2 - 
    98784000*li4half*ln2^2*z2 - 5566400*ln2^6*z2 - 6122592000*s6*z2 + 
    386467200*li4half*z2^2 + 57674400*ln2^4*z2^2 + 446997600*ln2^2*z2^3 - 
    854535456*z2^4 - 4901904000*li5half*z3 - 84672000*li4half*ln2*z3 + 
    37321200*ln2^5*z3 - 392028000*ln2^3*z2*z3 - 2160156600*ln2*z2^2*z3 + 
    1211962500*ln2^2*z3^2 - 2458228500*z2*z3^2 + 2723763000*ln2^3*z5 - 
    1019340000*ln2*z2*z5 + 4936892625*z3*z5 - 12782463750*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 0, 1, -1, -1, 1] -> 
  (-16934400*li4half^2 + 2404684800*li8half + 1016064000*li7half*ln2 + 
    152409600*li6half*ln2^2 + 13171200*li5half*ln2^3 + 940800*li4half*ln2^4 + 
    28560*ln2^8 - 400176000*ln2^2*s6 + 192326400*ln2*s7a - 
    310060800*ln2*s7b + 854341425*s8a + 5372136000*s8b + 596332800*s8c + 
    462067200*s8d + 25401600*li4half*ln2^2*z2 + 603680*ln2^6*z2 - 
    1453334400*s6*z2 + 108501120*li4half*z2^2 + 110880*ln2^4*z2^2 + 
    60258240*ln2^2*z2^3 - 137164752*z2^4 - 934012800*li5half*z3 - 
    53625600*li4half*ln2*z3 + 5796000*ln2^5*z3 - 41143200*ln2^3*z2*z3 - 
    558379080*ln2*z2^2*z3 + 121753800*ln2^2*z3^2 - 646625700*z2*z3^2 + 
    473692800*ln2^3*z5 - 862495200*ln2*z2*z5 + 633998925*z3*z5 - 
    2684538675*ln2*z7)/11289600, H[-1, -1, 1, -1, 0, 0, 1, 1, 1] -> 
  (254016000*li4half^2 + 1580544000*li8half + 790272000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    21168000*li4half*ln2^4 + 401800*ln2^8 - 327600000*ln2^2*s6 + 
    177408000*ln2*s7a - 260064000*ln2*s7b + 642795300*s8a + 3720528000*s8b + 
    483840000*s8c + 292320000*s8d - 225792000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 127008000*li4half*ln2^2*z2 - 4900000*ln2^6*z2 - 
    1029168000*s6*z2 - 75600000*li4half*z2^2 + 12490800*ln2^4*z2^2 + 
    101203200*ln2^2*z2^3 - 75672792*z2^4 - 768096000*li5half*z3 + 
    275184000*li4half*ln2*z3 + 17043600*ln2^5*z3 - 132804000*ln2^3*z2*z3 - 
    557323200*ln2*z2^2*z3 + 253386000*ln2^2*z3^2 - 624834000*z2*z3^2 + 
    423654000*ln2^3*z5 - 796950000*ln2*z2*z5 + 1219947750*z3*z5 - 
    1735185375*ln2*z7)/56448000, H[-1, -1, 1, -1, 0, 0, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    23184000*ln2^2*s6 - 42336000*ln2*s7b + 98105175*s8a + 411264000*s8b + 
    55776000*s8c + 43008000*s8d + 28224000*li6half*z2 + 
    9408000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1136800*ln2^6*z2 - 
    138936000*s6*z2 + 10718400*li4half*z2^2 - 2415000*ln2^4*z2^2 + 
    10278800*ln2^2*z2^3 - 1987432*z2^4 - 10752000*li5half*z3 - 
    42336000*li4half*ln2*z3 - 1674400*ln2^5*z3 + 9100000*ln2^3*z2*z3 - 
    38593800*ln2*z2^2*z3 - 11371500*ln2^2*z3^2 - 50872500*z2*z3^2 + 
    40474000*ln2^3*z5 - 18931500*ln2*z2*z5 + 47677875*z3*z5 - 
    293485500*ln2*z7)/9408000, H[-1, -1, 1, -1, 0, 0, 1, -1, 1] -> 
  (-48384000*li4half^2 - 161280000*li8half - 112896000*li7half*ln2 - 
    24192000*li6half*ln2^2 - 2688000*li5half*ln2^3 - 4032000*li4half*ln2^4 - 
    76800*ln2^8 + 137232000*ln2^2*s6 - 45504000*ln2*s7a + 113760000*ln2*s7b - 
    269690400*s8a - 1403136000*s8b - 217728000*s8c - 133056000*s8d - 
    52416000*li5half*ln2*z2 - 12096000*li4half*ln2^2*z2 - 145600*ln2^6*z2 + 
    441504000*s6*z2 - 4233600*li4half*z2^2 + 1024800*ln2^4*z2^2 - 
    56880000*ln2^2*z2^3 + 8857296*z2^4 + 302400000*li5half*z3 + 
    3024000*li4half*ln2*z3 - 2394000*ln2^5*z3 + 18396000*ln2^3*z2*z3 + 
    179301600*ln2*z2^2*z3 - 23112000*ln2^2*z3^2 + 227178000*z2*z3^2 - 
    160776000*ln2^3*z5 + 424980000*ln2*z2*z5 - 474768000*z3*z5 + 
    556804125*ln2*z7)/8064000, H[-1, -1, 1, -1, 0, 0, 0, 1, 1] -> 
  (161280*li4half^2 + 13440*li4half*ln2^4 + 280*ln2^8 + 184320*ln2^2*s6 - 
    130560*ln2*s7a + 433920*ln2*s7b - 689640*s8a - 3118080*s8b - 456960*s8c - 
    322560*s8d + 322560*li6half*z2 + 107520*li5half*ln2*z2 - 
    80640*li4half*ln2^2*z2 - 3808*ln2^6*z2 + 1196160*s6*z2 - 
    96768*li4half*z2^2 + 7392*ln2^4*z2^2 - 62752*ln2^2*z2^3 - 768*z2^4 + 
    309120*li5half*z3 + 120960*li4half*ln2*z3 + 2464*ln2^5*z3 - 
    11200*ln2^3*z2*z3 + 258456*ln2*z2^2*z3 - 75840*ln2^2*z3^2 + 
    531720*z2*z3^2 - 486920*ln2^3*z5 + 212160*ln2*z2*z5 - 1182615*z3*z5 + 
    2095950*ln2*z7)/53760, H[-1, -1, 1, -1, 0, 0, 0, 0, 1] -> 
  (67200*ln2^2*s6 + 44800*ln2*s7b - 117950*s8a - 582400*s8b - 134400*s8c + 
    11200*s6*z2 + 47040*li4half*z2^2 + 1960*ln2^4*z2^2 - 34800*ln2^2*z2^3 - 
    99776*z2^4 + 67200*li5half*z3 - 560*ln2^5*z3 + 5600*ln2^3*z2*z3 + 
    101080*ln2*z2^2*z3 + 12600*ln2^2*z3^2 + 115850*z2*z3^2 - 50400*ln2^3*z5 + 
    315000*ln2*z2*z5 + 117775*z3*z5 + 624750*ln2*z7)/44800, 
 H[-1, -1, 1, -1, 0, 0, 0, -1, 1] -> 
  (24696000*ln2^2*s6 - 12768000*ln2*s7a + 13104000*ln2*s7b - 48656475*s8a - 
    285936000*s8b - 30912000*s8c - 25536000*s8d + 14112000*li6half*z2 + 
    4704000*li5half*ln2*z2 - 19600*ln2^6*z2 + 83412000*s6*z2 + 
    1596000*li4half*z2^2 + 95900*ln2^4*z2^2 - 10708600*ln2^2*z2^3 - 
    12799986*z2^4 + 31080000*li5half*z3 - 10584000*li4half*ln2*z3 - 
    700000*ln2^5*z3 + 4942000*ln2^3*z2*z3 + 33516000*ln2*z2^2*z3 - 
    9665250*ln2^2*z3^2 + 34760250*z2*z3^2 - 24230500*ln2^3*z5 + 
    59277750*ln2*z2*z5 - 29568000*z3*z5 + 189737625*ln2*z7)/4704000, 
 H[-1, -1, 1, -1, 0, 0, -1, 1, 1] -> 
  (508032000*li4half^2 - 1693440000*li8half - 677376000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    42336000*li4half*ln2^4 + 896000*ln2^8 - 360864000*ln2^2*s6 + 
    68544000*ln2*s7a - 16128000*ln2*s7b + 384421275*s8a + 1996344000*s8b + 
    344736000*s8c + 346752000*s8d + 169344000*li6half*z2 + 
    423360000*li5half*ln2*z2 - 2979200*ln2^6*z2 - 919296000*s6*z2 - 
    176198400*li4half*z2^2 - 2402400*ln2^4*z2^2 + 297864000*ln2^2*z2^3 + 
    120407544*z2^4 - 1138032000*li5half*z3 + 169344000*li4half*ln2*z3 + 
    16539600*ln2^5*z3 - 94836000*ln2^3*z2*z3 - 522433800*ln2*z2^2*z3 + 
    59251500*ln2^2*z3^2 - 401656500*z2*z3^2 + 127743000*ln2^3*z5 - 
    1637748000*ln2*z2*z5 + 1830803625*z3*z5 + 515560500*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 0, 0, -1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    9408000*ln2^2*s6 + 4032000*ln2*s7a - 28896000*ln2*s7b + 70164675*s8a + 
    280560000*s8b + 20160000*s8c + 50400000*s8d - 28224000*li6half*z2 - 
    9408000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 1215200*ln2^6*z2 - 
    179592000*s6*z2 + 19252800*li4half*z2^2 - 2510200*ln2^4*z2^2 + 
    7058800*ln2^2*z2^3 - 21267332*z2^4 - 27888000*li5half*z3 - 
    56448000*li4half*ln2*z3 - 2119600*ln2^5*z3 + 12376000*ln2^3*z2*z3 - 
    21168000*ln2*z2^2*z3 - 6027000*ln2^2*z3^2 - 30702000*z2*z3^2 + 
    29400000*ln2^3*z5 + 48289500*ln2*z2*z5 + 154581000*z3*z5 - 
    81611250*ln2*z7)/9408000, H[-1, -1, 1, -1, 0, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 + 1016064000*li8half + 677376000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 177800*ln2^8 - 274176000*ln2^2*s6 + 
    241920000*ln2*s7a - 350784000*ln2*s7b + 601456275*s8a + 3323880000*s8b + 
    360864000*s8c + 528192000*s8d + 42336000*li4half*ln2^2*z2 + 
    1920800*ln2^6*z2 - 1500912000*s6*z2 + 181843200*li4half*z2^2 + 
    4048800*ln2^4*z2^2 + 61941600*ln2^2*z2^3 - 269671176*z2^4 - 
    1105776000*li5half*z3 - 169344000*li4half*ln2*z3 + 1335600*ln2^5*z3 - 
    49812000*ln2^3*z2*z3 - 449706600*ln2*z2^2*z3 + 265324500*ln2^2*z3^2 - 
    453442500*z2*z3^2 + 555807000*ln2^3*z5 - 33642000*ln2*z2*z5 + 
    1747580625*z3*z5 - 978500250*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 0, -1, 1, 1, 1] -> 
  (423360000*li4half^2 + 13095936000*li8half + 5249664000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 
    23520000*li4half*ln2^4 + 390600*ln2^8 - 2554272000*ln2^2*s6 + 
    1155168000*ln2*s7a - 1526112000*ln2*s7b + 5187675150*s8a + 
    32050368000*s8b + 3447360000*s8c + 3185280000*s8d + 
    169344000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    84672000*li4half*ln2^2*z2 - 3371200*ln2^6*z2 - 9517536000*s6*z2 + 
    399974400*li4half*z2^2 + 11138400*ln2^4*z2^2 + 602431200*ln2^2*z2^3 - 
    1024896816*z2^4 - 6546960000*li5half*z3 + 331632000*li4half*ln2*z3 + 
    67141200*ln2^5*z3 - 512064000*ln2^3*z2*z3 - 3859455600*ln2*z2^2*z3 + 
    1041201000*ln2^2*z3^2 - 4143132000*z2*z3^2 + 2639679000*ln2^3*z5 - 
    6144453000*ln2*z2*z5 + 6587028000*z3*z5 - 12047482125*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 0, -1, 1, 0, 1] -> 
  (-395136000*li4half^2 - 6773760000*li8half - 5419008000*li7half*ln2 - 
    1354752000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    42336000*li4half*ln2^4 - 798000*ln2^8 + 1729728000*ln2^2*s6 - 
    1544256000*ln2*s7a + 1518048000*ln2*s7b - 3093785100*s8a - 
    20499696000*s8b - 1838592000*s8c - 2564352000*s8d - 
    1354752000*li6half*z2 - 536256000*li5half*ln2*z2 + 
    98784000*li4half*ln2^2*z2 + 6860000*ln2^6*z2 + 6596352000*s6*z2 - 
    383040000*li4half*z2^2 - 58119600*ln2^4*z2^2 - 523454400*ln2^2*z2^3 + 
    913476024*z2^4 + 5523840000*li5half*z3 - 21168000*li4half*ln2*z3 - 
    46914000*ln2^5*z3 + 460908000*ln2^3*z2*z3 + 2413000800*ln2*z2^2*z3 - 
    1382472000*ln2^2*z3^2 + 2631384000*z2*z3^2 - 2817549000*ln2^3*z5 + 
    1762110000*ln2*z2*z5 - 5836005000*z3*z5 + 11866577625*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 0, -1, 1, -1, 1] -> 
  (-254016000*li4half^2 - 27941760000*li8half - 10668672000*li7half*ln2 - 
    1354752000*li6half*ln2^2 - 47040000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 212800*ln2^8 + 5628672000*ln2^2*s6 - 
    2449440000*ln2*s7a + 3251808000*ln2*s7b - 11249544600*s8a - 
    68856480000*s8b - 7826112000*s8c - 6441120000*s8d - 
    84672000*li5half*ln2*z2 - 127008000*li4half*ln2^2*z2 - 3567200*ln2^6*z2 + 
    20015856000*s6*z2 - 1144281600*li4half*z2^2 + 4771200*ln2^4*z2^2 - 
    1164895200*ln2^2*z2^3 + 1893509784*z2^4 + 12981024000*li5half*z3 - 
    21168000*li4half*ln2*z3 - 109057200*ln2^5*z3 + 854196000*ln2^3*z2*z3 + 
    8087713200*ln2*z2^2*z3 - 1686069000*ln2^2*z3^2 + 8580411000*z2*z3^2 - 
    5574387000*ln2^3*z5 + 14117103000*ln2*z2*z5 - 11598583500*z3*z5 + 
    25135858125*ln2*z7)/56448000, H[-1, -1, 1, -1, 0, -1, 0, 1, 1] -> 
  (-338688000*li4half^2 + 225792000*li8half + 677376000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 75264000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 481600*ln2^8 - 8064000*ln2*s7a - 
    50400000*ln2*s7b - 88324425*s8a + 166824000*s8b + 58464000*s8c - 
    86688000*s8d + 790272000*li6half*z2 + 282240000*li5half*ln2*z2 + 
    197568000*li4half*ln2^2*z2 + 6507200*ln2^6*z2 + 321552000*s6*z2 + 
    270547200*li4half*z2^2 - 10071600*ln2^4*z2^2 - 84621600*ln2^2*z2^3 - 
    55340568*z2^4 - 59472000*li5half*z3 - 656208000*li4half*ln2*z3 - 
    25200000*ln2^5*z3 + 161448000*ln2^3*z2*z3 + 233994600*ln2*z2^2*z3 - 
    287752500*ln2^2*z3^2 + 173785500*z2*z3^2 + 40425000*ln2^3*z5 + 
    281799000*ln2*z2*z5 - 1157002875*z3*z5 - 1434502125*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, 0, -1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    17136000*ln2^2*s6 + 23520000*ln2*s7a + 37632000*ln2*s7b - 69216525*s8a - 
    305256000*s8b - 71904000*s8c + 1344000*s8d + 56448000*li6half*z2 + 
    37632000*li5half*ln2*z2 - 4704000*li4half*ln2^2*z2 - 431200*ln2^6*z2 + 
    59640000*s6*z2 + 4032000*li4half*z2^2 + 1128400*ln2^4*z2^2 - 
    11832800*ln2^2*z2^3 - 38804764*z2^4 + 23184000*li5half*z3 + 
    51744000*li4half*ln2*z3 + 1962800*ln2^5*z3 - 9436000*ln2^3*z2*z3 + 
    42382200*ln2*z2^2*z3 + 33484500*ln2^2*z3^2 + 28644000*z2*z3^2 - 
    15680000*ln2^3*z5 + 71358000*ln2*z2*z5 + 38485125*z3*z5 + 
    305925375*ln2*z7)/9408000, H[-1, -1, 1, -1, 0, -1, 0, -1, 1] -> 
  (-12096000*li4half^2 - 96768000*li7half*ln2 - 48384000*li6half*ln2^2 - 
    10752000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 35400*ln2^8 + 
    44208000*ln2^2*s6 - 63360000*ln2*s7a + 7200000*ln2*s7b - 46475100*s8a - 
    474768000*s8b - 96768000*s8d + 48384000*li6half*z2 + 
    20160000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 + 280000*ln2^6*z2 + 
    244944000*s6*z2 - 9072000*li4half*z2^2 - 1512000*ln2^4*z2^2 - 
    28152000*ln2^2*z2^3 - 944496*z2^4 + 191520000*li5half*z3 - 
    19152000*li4half*ln2*z3 - 2394000*ln2^5*z3 + 20916000*ln2^3*z2*z3 + 
    79855200*ln2*z2^2*z3 - 71703000*ln2^2*z3^2 + 21609000*z2*z3^2 - 
    57855000*ln2^3*z5 - 1368000*ln2*z2*z5 - 175077000*z3*z5 + 
    235924875*ln2*z7)/8064000, H[-1, -1, 1, -1, 0, -1, -1, 1, 1] -> 
  (604800*li4half^2 + 97977600*li8half + 35078400*li7half*ln2 + 
    4838400*li6half*ln2^2 + 470400*li5half*ln2^3 + 67200*li4half*ln2^4 + 
    20*ln2^8 - 21182400*ln2^2*s6 + 8078400*ln2*s7a - 10771200*ln2*s7b + 
    42227325*s8a + 260971200*s8b + 30844800*s8c + 23587200*s8d + 
    604800*li6half*z2 + 604800*li4half*ln2^2*z2 + 25760*ln2^6*z2 - 
    74541600*s6*z2 + 4656960*li4half*z2^2 - 125160*ln2^4*z2^2 + 
    4686840*ln2^2*z2^3 - 5462154*z2^4 - 47527200*li5half*z3 - 
    1108800*li4half*ln2*z3 + 358680*ln2^5*z3 - 2851800*ln2^3*z2*z3 - 
    30309660*ln2*z2^2*z3 + 3435750*ln2^2*z3^2 - 31789800*z2*z3^2 + 
    17796450*ln2^3*z5 - 60304950*ln2*z2*z5 + 37472400*z3*z5 - 
    89401950*ln2*z7)/403200, H[-1, -1, 1, -1, 0, -1, -1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    6652800*ln2^2*s6 + 11289600*ln2*s7a + 17875200*ln2*s7b - 20654025*s8a - 
    135307200*s8b - 32121600*s8c + 1075200*s8d + 5644800*li5half*ln2*z2 - 
    2822400*li4half*ln2^2*z2 - 164640*ln2^6*z2 + 13372800*s6*z2 - 
    11074560*li4half*z2^2 + 28560*ln2^4*z2^2 + 114240*ln2^2*z2^3 - 
    13103304*z2^4 - 3561600*li5half*z3 + 18345600*li4half*ln2*z3 + 
    794080*ln2^5*z3 - 4020800*ln2^3*z2*z3 + 1524600*ln2*z2^2*z3 + 
    15336300*ln2^2*z3^2 + 14109900*z2*z3^2 - 8114400*ln2^3*z5 + 
    27598200*ln2*z2*z5 + 53069625*z3*z5 + 165709425*ln2*z7)/3763200, 
 H[-1, -1, 1, -1, 0, -1, -1, -1, 1] -> 
  (4838400*li4half^2 + 45158400*li8half + 14515200*li7half*ln2 - 
    806400*li5half*ln2^3 + 201600*li4half*ln2^4 + 4960*ln2^8 - 
    2361600*ln2^2*s6 + 345600*ln2*s7a + 2361600*ln2*s7b - 
    2419200*li4half*ln2^2*z2 - 88480*ln2^6*z2 - 3870720*li4half*z2^2 + 
    114240*ln2^4*z2^2 - 462240*ln2^2*z2^3 - 5419008*z2^4 + 
    806400*li5half*z3 + 9072000*li4half*ln2*z3 + 347760*ln2^5*z3 - 
    2200800*ln2^3*z2*z3 - 3879360*ln2*z2^2*z3 + 3216600*ln2^2*z3^2 + 
    1075200*ln2^3*z5 - 7000200*ln2*z2*z5 - 806400*z3*z5 + 43242525*ln2*z7)/
   1612800, H[-1, -1, 1, -1, -1, 1, 1, 1, 1] -> 
  (16934400*li4half^2 - 180633600*li8half - 45158400*li7half*ln2 - 
    5644800*li6half*ln2^2 - 1881600*li5half*ln2^3 + 940800*li4half*ln2^4 + 
    22400*ln2^8 + 41529600*ln2^2*s6 - 4435200*ln2*s7a + 26611200*ln2*s7b - 
    76461525*s8a - 531720000*s8b - 71366400*s8c - 35884800*s8d - 
    8467200*li4half*ln2^2*z2 - 337120*ln2^6*z2 + 125395200*s6*z2 - 
    20724480*li4half*z2^2 + 759360*ln2^4*z2^2 - 2731680*ln2^2*z2^3 - 
    547368*z2^4 + 73180800*li5half*z3 + 31046400*li4half*ln2*z3 + 
    589680*ln2^5*z3 - 1663200*ln2^3*z2*z3 + 46108440*ln2*z2^2*z3 + 
    11724300*ln2^2*z3^2 + 64064700*z2*z3^2 - 39543000*ln2^3*z5 + 
    160360200*ln2*z2*z5 - 19730025*z3*z5 + 204075900*ln2*z7)/11289600, 
 H[-1, -1, 1, -1, -1, 1, 1, 0, 1] -> 
  (33868800*li4half^2 + 112896000*li8half - 22579200*li7half*ln2 - 
    28224000*li6half*ln2^2 - 7526400*li5half*ln2^3 + 1881600*li4half*ln2^4 + 
    50400*ln2^8 - 17136000*ln2^2*s6 + 3225600*ln2*s7a + 37094400*ln2*s7b - 
    8027775*s8a + 54129600*s8b - 403200*s8c + 3225600*s8d + 
    16934400*li6half*z2 - 16934400*li4half*ln2^2*z2 - 650720*ln2^6*z2 + 
    9072000*s6*z2 - 26449920*li4half*z2^2 + 250320*ln2^4*z2^2 + 
    3195360*ln2^2*z2^3 - 1948896*z2^4 - 806400*li5half*z3 + 
    62092800*li4half*ln2*z3 + 2582160*ln2^5*z3 - 15708000*ln2^3*z2*z3 - 
    33962040*ln2*z2^2*z3 + 9777600*ln2^2*z3^2 - 5827500*z2*z3^2 - 
    24666600*ln2^3*z5 - 134479800*ln2*z2*z5 - 33574275*z3*z5 + 
    264174750*ln2*z7)/11289600, H[-1, -1, 1, -1, -1, 1, 1, -1, 1] -> 
  (846720000*li8half + 169344000*li7half*ln2 - 14000*ln2^8 - 
    229824000*ln2^2*s6 + 66528000*ln2*s7a - 102816000*ln2*s7b + 
    422915850*s8a + 2343600000*s8b + 326592000*s8c + 223776000*s8d + 
    117600*ln2^6*z2 - 722736000*s6*z2 + 44755200*li4half*z2^2 - 
    957600*ln2^4*z2^2 + 37245600*ln2^2*z2^3 - 83206224*z2^4 - 
    447552000*li5half*z3 + 3788400*ln2^5*z3 - 37296000*ln2^3*z2*z3 - 
    315327600*ln2*z2^2*z3 + 37012500*ln2^2*z3^2 - 346815000*z2*z3^2 + 
    206829000*ln2^3*z5 - 799470000*ln2*z2*z5 + 629653500*z3*z5 - 
    58093875*ln2*z7)/56448000, H[-1, -1, 1, -1, -1, 1, 0, 1, 1] -> 
  (-338688000*li4half^2 - 3725568000*li8half - 1693440000*li7half*ln2 - 
    254016000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 383600*ln2^8 + 756000000*ln2^2*s6 - 
    471744000*ln2*s7a + 205632000*ln2*s7b - 1293766425*s8a - 7534296000*s8b - 
    780192000*s8c - 786240000*s8d - 423360000*li6half*z2 - 
    169344000*li5half*ln2*z2 + 169344000*li4half*ln2^2*z2 + 
    7212800*ln2^6*z2 + 2080512000*s6*z2 + 113702400*li4half*z2^2 - 
    21546000*ln2^4*z2^2 - 227505600*ln2^2*z2^3 + 381222792*z2^4 + 
    1671264000*li5half*z3 - 620928000*li4half*ln2*z3 - 38446800*ln2^5*z3 + 
    293328000*ln2^3*z2*z3 + 1236324600*ln2*z2^2*z3 - 547659000*ln2^2*z3^2 + 
    1110816000*z2*z3^2 - 614019000*ln2^3*z5 + 1786806000*ln2*z2*z5 - 
    1991642625*z3*z5 + 1924728750*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, -1, 1, 0, 0, 1] -> 
  (-56448000*li4half^2 + 338688000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 47600*ln2^8 - 164304000*ln2^2*s6 + 
    173376000*ln2*s7a - 207648000*ln2*s7b + 373577400*s8a + 1465632000*s8b + 
    221760000*s8c + 201600000*s8d - 84672000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 56448000*li4half*ln2^2*z2 + 1842400*ln2^6*z2 - 
    600768000*s6*z2 + 77011200*li4half*z2^2 - 1495200*ln2^4*z2^2 + 
    78523200*ln2^2*z2^3 - 66181536*z2^4 - 565488000*li5half*z3 - 
    127008000*li4half*ln2*z3 - 226800*ln2^5*z3 - 7728000*ln2^3*z2*z3 - 
    233604000*ln2*z2^2*z3 + 114975000*ln2^2*z3^2 - 319126500*z2*z3^2 + 
    313845000*ln2^3*z5 - 57960000*ln2*z2*z5 + 1222530750*z3*z5 - 
    1167004125*ln2*z7)/56448000, H[-1, -1, 1, -1, -1, 1, 0, -1, 1] -> 
  (-48384000*li4half^2 - 72576000*li8half + 48384000*li7half*ln2 + 
    36288000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 2688000*li4half*ln2^4 - 
    67400*ln2^8 - 3888000*ln2^2*s6 - 5184000*ln2*s7a - 59616000*ln2*s7b + 
    58230900*s8a + 281232000*s8b + 48384000*s8c + 24192000*s8d - 
    36288000*li6half*z2 - 12096000*li5half*ln2*z2 + 
    24192000*li4half*ln2^2*z2 + 1008000*ln2^6*z2 - 99792000*s6*z2 + 
    43545600*li4half*z2^2 - 1058400*ln2^4*z2^2 + 4312800*ln2^2*z2^3 + 
    9309744*z2^4 - 49392000*li5half*z3 - 88704000*li4half*ln2*z3 - 
    3242400*ln2^5*z3 + 17976000*ln2^3*z2*z3 + 5875200*ln2*z2^2*z3 - 
    19269000*ln2^2*z3^2 - 43438500*z2*z3^2 + 43449000*ln2^3*z5 + 
    36774000*ln2*z2*z5 + 93901500*z3*z5 - 447589125*ln2*z7)/8064000, 
 H[-1, -1, 1, -1, -1, 1, -1, 1, 1] -> 
  (24192000*li8half - 48384000*li7half*ln2 - 24192000*li6half*ln2^2 - 
    4032000*li5half*ln2^3 + 10000*ln2^8 - 8208000*ln2^2*s6 - 
    19008000*ln2*s7a + 29376000*ln2*s7b - 17203725*s8a - 37800000*s8b + 
    6048000*s8c - 24192000*s8d - 50400*ln2^6*z2 + 57456000*s6*z2 - 
    4838400*li4half*z2^2 - 604800*ln2^4*z2^2 - 2498400*ln2^2*z2^3 + 
    18760824*z2^4 + 51408000*li5half*z3 - 243600*ln2^5*z3 + 
    4284000*ln2^3*z2*z3 + 9207000*ln2*z2^2*z3 - 32107500*ln2^2*z3^2 + 
    18805500*z2*z3^2 - 32949000*ln2^3*z5 - 105948000*ln2*z2*z5 - 
    157035375*z3*z5 + 132077250*ln2*z7)/8064000, 
 H[-1, -1, 1, -1, -1, 1, -1, 0, 1] -> 
  (-84672000*li4half^2 - 508032000*li8half + 169344000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 47040000*li5half*ln2^3 - 56000*ln2^8 + 
    5040000*ln2^2*s6 + 145152000*ln2*s7a - 122976000*ln2*s7b + 79342200*s8a - 
    114912000*s8b - 60480000*s8c + 145152000*s8d + 84672000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2469600*ln2^6*z2 - 332640000*s6*z2 + 
    84067200*li4half*z2^2 - 3259200*ln2^4*z2^2 + 28324800*ln2^2*z2^3 - 
    122817528*z2^4 - 346752000*li5half*z3 - 190512000*li4half*ln2*z3 - 
    4578000*ln2^5*z3 + 31668000*ln2^3*z2*z3 - 5518800*ln2*z2^2*z3 + 
    104391000*ln2^2*z3^2 - 89145000*z2*z3^2 + 187131000*ln2^3*z5 + 
    515340000*ln2*z2*z5 + 1159026750*z3*z5 - 310251375*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, -1, 1, -1, -1, 1] -> 
  (-7257600*li4half^2 + 14515200*li7half*ln2 + 7257600*li6half*ln2^2 + 
    1612800*li5half*ln2^3 - 403200*li4half*ln2^4 - 10400*ln2^8 + 
    4060800*ln2^2*s6 - 1036800*ln2*s7a - 7084800*ln2*s7b + 
    3628800*li4half*ln2^2*z2 + 144480*ln2^6*z2 + 5806080*li4half*z2^2 - 
    131040*ln2^4*z2^2 - 1677600*ln2^2*z2^3 - 1161216*z2^4 - 
    1209600*li5half*z3 - 13305600*li4half*ln2*z3 - 546000*ln2^5*z3 + 
    3225600*ln2^3*z2*z3 + 6557760*ln2*z2^2*z3 - 2423700*ln2^2*z3^2 + 
    4246200*ln2^3*z5 + 21000600*ln2*z2*z5 + 1209600*z3*z5 - 52313175*ln2*z7)/
   1612800, H[-1, -1, 1, -1, -1, 0, 1, 1, 1] -> 
  (16934400*li4half^2 + 180633600*li8half + 135475200*li7half*ln2 + 
    50803200*li6half*ln2^2 + 11289600*li5half*ln2^3 + 2822400*li4half*ln2^4 + 
    42280*ln2^8 - 45360000*ln2^2*s6 + 35078400*ln2*s7a - 49593600*ln2*s7b + 
    76461525*s8a + 531720000*s8b + 71366400*s8c + 35884800*s8d - 
    50803200*li6half*z2 - 16934400*li5half*ln2*z2 - 
    8467200*li4half*ln2^2*z2 - 313600*ln2^6*z2 - 146563200*s6*z2 + 
    4636800*li4half*z2^2 + 840000*ln2^4*z2^2 + 8184960*ln2^2*z2^3 + 
    5945544*z2^4 - 114105600*li5half*z3 - 8467200*li4half*ln2*z3 + 
    586320*ln2^5*z3 - 7392000*ln2^3*z2*z3 - 64620360*ln2*z2^2*z3 + 
    24374700*ln2^2*z3^2 - 64593900*z2*z3^2 + 81673200*ln2^3*z5 - 
    90379800*ln2*z2*z5 + 93244725*z3*z5 - 348993225*ln2*z7)/11289600, 
 H[-1, -1, 1, -1, -1, 0, 1, 0, 1] -> 
  (-84672000*li4half^2 + 1016064000*li8half + 677376000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 177800*ln2^8 - 298368000*ln2^2*s6 + 
    223776000*ln2*s7a - 241920000*ln2*s7b + 615127275*s8a + 3666096000*s8b + 
    346752000*s8c + 457632000*s8d + 296352000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 63504000*li4half*ln2^2*z2 + 2038400*ln2^6*z2 - 
    1201032000*s6*z2 + 125395200*li4half*z2^2 + 1726200*ln2^4*z2^2 + 
    81715200*ln2^2*z2^3 - 160973496*z2^4 - 700056000*li5half*z3 + 
    10584000*li4half*ln2*z3 + 5922000*ln2^5*z3 - 62454000*ln2^3*z2*z3 - 
    385660800*ln2*z2^2*z3 + 200970000*ln2^2*z3^2 - 454214250*z2*z3^2 + 
    436002000*ln2^3*z5 - 354312000*ln2*z2*z5 + 741494250*z3*z5 - 
    1939100625*ln2*z7)/28224000, H[-1, -1, 1, -1, -1, 0, 1, -1, 1] -> 
  (127008000*li4half^2 + 6689088000*li8half + 2370816000*li7half*ln2 + 
    211680000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 
    2352000*li4half*ln2^4 + 102200*ln2^8 - 1218168000*ln2^2*s6 + 
    604800000*ln2*s7a - 453600000*ln2*s7b + 2238671925*s8a + 
    14323176000*s8b + 1487808000*s8c + 1327536000*s8d - 
    211680000*li5half*ln2*z2 - 190512000*li4half*ln2^2*z2 - 
    5997600*ln2^6*z2 - 4062744000*s6*z2 + 146966400*li4half*z2^2 + 
    23822400*ln2^4*z2^2 + 222415200*ln2^2*z2^3 - 415125972*z2^4 - 
    2496312000*li5half*z3 + 405720000*li4half*ln2*z3 + 37325400*ln2^5*z3 - 
    306810000*ln2^3*z2*z3 - 1769405400*ln2*z2^2*z3 + 500692500*ln2^2*z3^2 - 
    1656963000*z2*z3^2 + 1019371500*ln2^3*z5 - 2782363500*ln2*z2*z5 + 
    1685714625*z3*z5 - 4644911250*ln2*z7)/28224000, 
 H[-1, -1, 1, -1, -1, 0, 0, 1, 1] -> 
  (67737600*li4half^2 + 225792000*li8half + 67737600*li7half*ln2 - 
    3763200*li5half*ln2^3 + 4704000*li4half*ln2^4 + 101920*ln2^8 - 
    23788800*ln2^2*s6 + 806400*ln2*s7a + 37497600*ln2*s7b + 20730150*s8a - 
    13708800*s8b + 17740800*s8c - 29030400*s8d + 90316800*li6half*z2 + 
    45158400*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1379840*ln2^6*z2 + 
    118742400*s6*z2 - 52375680*li4half*z2^2 + 2239440*ln2^4*z2^2 + 
    9014880*ln2^2*z2^3 - 21362184*z2^4 - 35078400*li5half*z3 + 
    80438400*li4half*ln2*z3 + 3549840*ln2^5*z3 - 23268000*ln2^3*z2*z3 - 
    64910160*ln2*z2^2*z3 + 16461900*ln2^2*z3^2 - 43514100*z2*z3^2 - 
    35515200*ln2^3*z5 - 159402600*ln2*z2*z5 + 59254650*z3*z5 + 
    182373975*ln2*z7)/11289600, H[-1, -1, 1, -1, -1, 0, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    46368000*ln2^2*s6 - 34944000*ln2*s7a + 2688000*ln2*s7b - 62262900*s8a - 
    244272000*s8b - 36960000*s8c - 33600000*s8d - 9408000*li5half*ln2*z2 + 
    9408000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 90720000*s6*z2 + 
    26678400*li4half*z2^2 - 123200*ln2^4*z2^2 - 23520000*ln2^2*z2^3 + 
    755796*z2^4 + 97776000*li5half*z3 - 39984000*li4half*ln2*z3 - 
    2480800*ln2^5*z3 + 17360000*ln2^3*z2*z3 + 71748600*ln2*z2^2*z3 - 
    33705000*ln2^2*z3^2 + 52011750*z2*z3^2 - 35035000*ln2^3*z5 + 
    112906500*ln2*z2*z5 - 187952625*z3*z5 - 2871750*ln2*z7)/9408000, 
 H[-1, -1, 1, -1, -1, 0, 0, -1, 1] -> 
  (-50803200*li4half^2 - 203212800*li8half - 67737600*li7half*ln2 + 
    3763200*li5half*ln2^3 - 3292800*li4half*ln2^4 - 71960*ln2^8 + 
    157449600*ln2^2*s6 - 93542400*ln2*s7a + 27820800*ln2*s7b - 
    229047525*s8a - 1420776000*s8b - 144748800*s8c - 168537600*s8d + 
    50803200*li6half*z2 + 22579200*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 995680*ln2^6*z2 + 514886400*s6*z2 + 
    11168640*li4half*z2^2 - 2533440*ln2^4*z2^2 - 60473280*ln2^2*z2^3 - 
    1470528*z2^4 + 272160000*li5half*z3 - 119952000*li4half*ln2*z3 - 
    7171920*ln2^5*z3 + 52550400*ln2^3*z2*z3 + 218315160*ln2*z2^2*z3 - 
    94323600*ln2^2*z3^2 + 163201500*z2*z3^2 - 121245600*ln2^3*z5 + 
    351288000*ln2*z2*z5 - 313061175*z3*z5 + 321660675*ln2*z7)/11289600, 
 H[-1, -1, 1, -1, -1, 0, -1, 1, 1] -> 
  (7257600*li4half^2 - 411264000*li8half - 169344000*li7half*ln2 - 
    26611200*li6half*ln2^2 - 1612800*li5half*ln2^3 + 672000*li4half*ln2^4 + 
    15280*ln2^8 + 68832000*ln2^2*s6 - 33350400*ln2*s7a + 41644800*ln2*s7b - 
    136566675*s8a - 877867200*s8b - 95558400*s8c - 77414400*s8d + 
    4838400*li6half*z2 + 14515200*li5half*ln2*z2 + 3628800*li4half*ln2^2*z2 + 
    40320*ln2^6*z2 + 244944000*s6*z2 - 19595520*li4half*z2^2 - 
    809760*ln2^4*z2^2 - 9576000*ln2^2*z2^3 + 24148368*z2^4 + 
    140313600*li5half*z3 + 403200*li4half*ln2*z3 - 1174320*ln2^5*z3 + 
    11440800*ln2^3*z2*z3 + 92176200*ln2*z2^2*z3 - 20696400*ln2^2*z3^2 + 
    99792000*z2*z3^2 - 72991800*ln2^3*z5 + 147484800*ln2*z2*z5 - 
    79271325*z3*z5 + 371079225*ln2*z7)/1612800, 
 H[-1, -1, 1, -1, -1, 0, -1, 0, 1] -> 
  (-101606400*li4half^2 + 406425600*li8half + 270950400*li7half*ln2 + 
    67737600*li6half*ln2^2 + 7526400*li5half*ln2^3 - 8467200*li4half*ln2^4 - 
    188720*ln2^8 - 25401600*ln2^2*s6 + 4838400*ln2*s7a - 108057600*ln2*s7b + 
    131655825*s8a + 1050033600*s8b + 89107200*s8c + 105638400*s8d + 
    16934400*li6half*z2 - 11289600*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1944320*ln2^6*z2 - 325584000*s6*z2 + 
    97332480*li4half*z2^2 - 824880*ln2^4*z2^2 - 8887200*ln2^2*z2^3 - 
    30351672*z2^4 - 112492800*li5half*z3 - 122774400*li4half*ln2*z3 - 
    4366320*ln2^5*z3 + 18614400*ln2^3*z2*z3 - 10989720*ln2*z2^2*z3 - 
    5953500*ln2^2*z3^2 - 76091400*z2*z3^2 + 107221800*ln2^3*z5 + 
    55654200*ln2*z2*z5 - 79576875*z3*z5 - 924698250*ln2*z7)/11289600, 
 H[-1, -1, 1, -1, -1, 0, -1, -1, 1] -> 
  (-2419200*li4half^2 + 2419200*li7half*ln2 + 1209600*li6half*ln2^2 + 
    268800*li5half*ln2^3 - 168000*li4half*ln2^4 - 3840*ln2^8 + 
    1353600*ln2^2*s6 - 345600*ln2*s7a - 2361600*ln2*s7b + 
    1209600*li4half*ln2^2*z2 + 49280*ln2^6*z2 + 1935360*li4half*z2^2 - 
    57120*ln2^4*z2^2 - 835680*ln2^2*z2^3 - 387072*z2^4 - 403200*li5half*z3 - 
    4435200*li4half*ln2*z3 - 181720*ln2^5*z3 + 1075200*ln2^3*z2*z3 + 
    2185920*ln2*z2^2*z3 - 807900*ln2^2*z3^2 + 1684200*ln2^3*z5 + 
    7000200*ln2*z2*z5 + 403200*z3*z5 - 15018525*ln2*z7)/268800, 
 H[-1, -1, 1, -1, -1, -1, 1, 1, 1] -> 
  (1411200000*li8half + 508032000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 28000*ln2^8 - 146160000*ln2^2*s6 + 
    127008000*ln2*s7a - 183456000*ln2*s7b + 292995675*s8a + 2605176000*s8b + 
    207648000*s8c + 243936000*s8d + 156800*ln2^6*z2 - 713664000*s6*z2 + 
    48787200*li4half*z2^2 - 789600*ln2^4*z2^2 - 23688000*ln2^2*z2^3 - 
    88496472*z2^4 - 494928000*li5half*z3 + 4183200*ln2^5*z3 - 
    41244000*ln2^3*z2*z3 - 250878600*ln2*z2^2*z3 + 148743000*ln2^2*z3^2 - 
    302368500*z2*z3^2 + 348096000*ln2^3*z5 - 356580000*ln2*z2*z5 + 
    351831375*z3*z5 - 1156908375*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, -1, -1, 1, 0, 1] -> 
  (197568000*li4half^2 - 1524096000*li8half - 677376000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 224000*ln2^8 - 1008000*ln2^2*s6 + 
    40320000*ln2*s7a + 167328000*ln2*s7b - 223739775*s8a - 2173752000*s8b - 
    219744000*s8c - 104832000*s8d - 169344000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 112896000*li4half*ln2^2*z2 - 4116000*ln2^6*z2 + 
    301392000*s6*z2 - 174787200*li4half*z2^2 + 9475200*ln2^4*z2^2 + 
    65973600*ln2^2*z2^3 + 96927696*z2^4 + 252000000*li5half*z3 + 
    373968000*li4half*ln2*z3 + 12717600*ln2^5*z3 - 71904000*ln2^3*z2*z3 + 
    26346600*ln2*z2^2*z3 + 145908000*ln2^2*z3^2 + 294682500*z2*z3^2 - 
    77175000*ln2^3*z5 + 469791000*ln2*z2*z5 + 52030125*z3*z5 + 
    1450866375*ln2*z7)/56448000, H[-1, -1, 1, -1, -1, -1, 1, -1, 1] -> 
  (63504000*li4half^2 - 395136000*li8half - 169344000*li7half*ln2 - 
    42336000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 
    80500*ln2^8 + 14616000*ln2^2*s6 + 12096000*ln2*s7a + 82656000*ln2*s7b - 
    92879325*s8a - 552384000*s8b - 88704000*s8c - 17136000*s8d - 
    31752000*li4half*ln2^2*z2 - 1215200*ln2^6*z2 + 87192000*s6*z2 - 
    54230400*li4half*z2^2 + 2415000*ln2^4*z2^2 + 25200000*ln2^2*z2^3 + 
    26362188*z2^4 + 41328000*li5half*z3 + 116424000*li4half*ln2*z3 + 
    4183200*ln2^5*z3 - 25662000*ln2^3*z2*z3 - 5191200*ln2*z2^2*z3 + 
    41154750*ln2^2*z3^2 + 83286000*z2*z3^2 - 82467000*ln2^3*z5 + 
    91665000*ln2*z2*z5 + 1236375*z3*z5 + 412752375*ln2*z7)/14112000, 
 H[-1, -1, 1, -1, -1, -1, 0, 1, 1] -> 
  (-84672000*li4half^2 + 4007808000*li8half + 1975680000*li7half*ln2 + 
    395136000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 - 106400*ln2^8 - 597744000*ln2^2*s6 + 
    155232000*ln2*s7a - 366912000*ln2*s7b + 1256690925*s8a + 7367976000*s8b + 
    941472000*s8c + 469728000*s8d + 479808000*li6half*z2 + 
    225792000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 1411200*ln2^6*z2 - 
    1581552000*s6*z2 + 165916800*li4half*z2^2 + 3208800*ln2^4*z2^2 + 
    94298400*ln2^2*z2^3 - 278952192*z2^4 - 1108800000*li5half*z3 - 
    190512000*li4half*ln2*z3 + 2007600*ln2^5*z3 - 35364000*ln2^3*z2*z3 - 
    740212200*ln2*z2^2*z3 - 5166000*ln2^2*z3^2 - 930352500*z2*z3^2 + 
    513765000*ln2^3*z5 - 1391607000*ln2*z2*z5 + 360761625*z3*z5 - 
    4108466250*ln2*z7)/56448000, H[-1, -1, 1, -1, -1, -1, 0, 0, 1] -> 
  (112896000*li8half - 225792000*li7half*ln2 - 112896000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 47600*ln2^8 + 123984000*ln2^2*s6 - 
    92736000*ln2*s7a + 147168000*ln2*s7b - 258262200*s8a - 1103760000*s8b - 
    161280000*s8c - 120960000*s8d + 169344000*li6half*z2 + 
    56448000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 117600*ln2^6*z2 + 
    375984000*s6*z2 - 31248000*li4half*z2^2 - 5418000*ln2^4*z2^2 - 
    73836000*ln2^2*z2^3 - 60808032*z2^4 + 411264000*li5half*z3 + 
    35280000*li4half*ln2*z3 - 1486800*ln2^5*z3 + 30156000*ln2^3*z2*z3 + 
    183556800*ln2*z2^2*z3 - 104706000*ln2^2*z3^2 + 123606000*z2*z3^2 - 
    222705000*ln2^3*z5 + 44919000*ln2*z2*z5 - 370377000*z3*z5 + 
    1289334375*ln2*z7)/56448000, H[-1, -1, 1, -1, -1, -1, 0, -1, 1] -> 
  (677376000*li8half - 169344000*li7half*ln2 - 169344000*li6half*ln2^2 - 
    37632000*li5half*ln2^3 - 2352000*li4half*ln2^4 + 30800*ln2^8 + 
    166320000*ln2^2*s6 - 241920000*ln2*s7a + 54432000*ln2*s7b - 
    185081400*s8a - 2062368000*s8b + 24192000*s8c - 447552000*s8d + 
    282240000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 - 196000*ln2^6*z2 + 1106784000*s6*z2 - 
    89510400*li4half*z2^2 - 6552000*ln2^4*z2^2 - 139658400*ln2^2*z2^3 - 
    91311984*z2^4 + 866880000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    6577200*ln2^5*z3 + 78708000*ln2^3*z2*z3 + 311623200*ln2*z2^2*z3 - 
    313740000*ln2^2*z3^2 + 90342000*z2*z3^2 - 249459000*ln2^3*z5 - 
    72387000*ln2*z2*z5 - 826245000*z3*z5 + 1544909625*ln2*z7)/56448000, 
 H[-1, -1, 1, -1, -1, -1, -1, 1, 1] -> 
  (-2419200*li4half^2 - 32256000*li8half - 8064000*li7half*ln2 + 
    268800*li5half*ln2^3 - 134400*li4half*ln2^4 - 2800*ln2^8 + 
    1008000*ln2^2*s6 - 2016000*ln2*s7a - 2016000*ln2*s7b + 288225*s8a - 
    12600000*s8b + 2016000*s8c - 2016000*s8d + 1209600*li4half*ln2^2*z2 + 
    44800*ln2^6*z2 + 4032000*s6*z2 + 1532160*li4half*z2^2 - 6720*ln2^4*z2^2 + 
    1056960*ln2^2*z2^3 + 2874024*z2^4 + 3830400*li5half*z3 - 
    4435200*li4half*ln2*z3 - 218400*ln2^5*z3 + 1428000*ln2^3*z2*z3 + 
    2688840*ln2*z2^2*z3 - 3200400*ln2^2*z3^2 - 1291500*z2*z3^2 - 
    1612800*ln2^3*z5 - 126000*ln2*z2*z5 + 5517225*z3*z5 - 13253625*ln2*z7)/
   1612800, H[-1, -1, 1, -1, -1, -1, -1, 0, 1] -> 
  (677376000*li8half + 254016000*li7half*ln2 + 42336000*li6half*ln2^2 + 
    4704000*li5half*ln2^3 - 14000*ln2^8 - 23184000*ln2^2*s6 + 
    27216000*ln2*s7a + 20160000*ln2*s7b + 64530900*s8a + 754488000*s8b + 
    6048000*s8c + 99792000*s8d + 70560000*li6half*z2 + 
    14112000*li5half*ln2*z2 + 98000*ln2^6*z2 - 252504000*s6*z2 + 
    19958400*li4half*z2^2 - 491400*ln2^4*z2^2 - 6652800*ln2^2*z2^3 - 
    77947956*z2^4 - 206640000*li5half*z3 + 1486800*ln2^5*z3 - 
    19572000*ln2^3*z2*z3 - 89397000*ln2*z2^2*z3 + 38461500*ln2^2*z3^2 - 
    30334500*z2*z3^2 + 2131500*ln2^3*z5 - 161815500*ln2*z2*z5 + 
    16695000*z3*z5 + 153538875*ln2*z7)/28224000, 
 H[-1, -1, 1, -1, -1, -1, -1, -1, 1] -> 
  (88200*li8half + 25200*li7half*ln2 + 2100*li6half*ln2^2 - 210*ln2^4*z2^2 - 
    4800*ln2^2*z2^3 - 12096*z2^4 + 35*ln2^5*z3 + 4200*ln2^3*z5 + 
    63000*ln2*z7)/4200, H[-1, -1, 0, 1, 1, 1, 1, 1, 1] -> 
  (403200*li4half^2 - 3225600*li8half - 2419200*li7half*ln2 - 
    806400*li6half*ln2^2 - 134400*li5half*ln2^3 + 33600*li4half*ln2^4 + 
    1100*ln2^8 - 201600*ln2^2*s6 + 403200*ln2*s7b - 211050*s8a - 
    2419200*s8b - 403200*s8d + 1209600*li6half*z2 + 806400*li5half*ln2*z2 - 
    7280*ln2^6*z2 + 1209600*s6*z2 - 40320*li4half*z2^2 + 15120*ln2^4*z2^2 + 
    92160*ln2^2*z2^3 + 195768*z2^4 - 705600*li5half*z3 - 
    100800*li4half*ln2*z3 + 7560*ln2^5*z3 - 33600*ln2^3*z2*z3 - 
    307440*ln2*z2^2*z3 - 100800*ln2^2*z3^2 + 201600*z2*z3^2 - 
    260400*ln2^3*z5 - 1587600*ln2*z2*z5 + 359100*z3*z5 + 3844575*ln2*z7)/
   806400, H[-1, -1, 0, 1, 1, 1, 1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 3024000*ln2^2*s6 + 
    8064000*ln2*s7a + 8064000*ln2*s7b - 5564475*s8a + 2520000*s8b - 
    10080000*s8c + 10080000*s8d - 8064000*li6half*z2 - 
    4032000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 61600*ln2^6*z2 - 
    22176000*s6*z2 - 5443200*li4half*z2^2 - 142800*ln2^4*z2^2 + 
    1411200*ln2^2*z2^3 - 1706976*z2^4 - 5040000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 630000*ln2^5*z3 - 3360000*ln2^3*z2*z3 - 
    6917400*ln2*z2^2*z3 + 11529000*ln2^2*z3^2 + 6993000*z2*z3^2 + 
    6426000*ln2*z2*z5 + 7741125*z3*z5 + 55629000*ln2*z7)/8064000, 
 H[-1, -1, 0, 1, 1, 1, 1, -1, 1] -> 
  (84672000*li4half^2 + 1072512000*li8half - 56448000*li7half*ln2 + 
    18816000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 28000*ln2^8 - 
    115920000*ln2^2*s6 + 56448000*ln2*s7a + 84672000*ln2*s7b + 
    248593275*s8a + 1650600000*s8b + 175392000*s8c + 120960000*s8d - 
    56448000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 705600*ln2^6*z2 - 
    390096000*s6*z2 - 54835200*li4half*z2^2 - 814800*ln2^4*z2^2 - 
    14364000*ln2^2*z2^3 - 47061576*z2^4 - 213696000*li5half*z3 + 
    239904000*li4half*ln2*z3 + 11365200*ln2^5*z3 - 77784000*ln2^3*z2*z3 - 
    304630200*ln2*z2^2*z3 + 38398500*ln2^2*z3^2 - 186448500*z2*z3^2 - 
    36456000*ln2^3*z5 - 748440000*ln2*z2*z5 + 33397875*z3*z5 + 
    685644750*ln2*z7)/56448000, H[-1, -1, 0, 1, 1, 1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    204624000*ln2^2*s6 - 131040000*ln2*s7a + 10080000*ln2*s7b - 
    211725675*s8a - 1375416000*s8b - 147168000*s8c - 135072000*s8d - 
    112896000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 901600*ln2^6*z2 + 453600000*s6*z2 + 
    4032000*li4half*z2^2 - 3948000*ln2^4*z2^2 - 38572800*ln2^2*z2^3 - 
    15923808*z2^4 + 305424000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    4603200*ln2^5*z3 + 46032000*ln2^3*z2*z3 + 242109000*ln2*z2^2*z3 - 
    111132000*ln2^2*z3^2 + 113463000*z2*z3^2 - 182280000*ln2^3*z5 + 
    414540000*ln2*z2*z5 - 162390375*z3*z5 + 156893625*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, 1, 1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    23184000*ln2^2*s6 - 28224000*ln2*s7a - 28224000*ln2*s7b - 798525*s8a + 
    117936000*s8b + 10080000*s8c - 10080000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 20160000*s6*z2 + 32558400*li4half*z2^2 - 
    407400*ln2^4*z2^2 - 7350000*ln2^2*z2^3 + 24810456*z2^4 - 
    1008000*li5half*z3 - 49392000*li4half*ln2*z3 - 2049600*ln2^5*z3 + 
    12264000*ln2^3*z2*z3 + 20071800*ln2*z2^2*z3 - 20601000*ln2^2*z3^2 + 
    7985250*z2*z3^2 + 26649000*ln2*z2*z5 - 150136875*z3*z5 - 
    354674250*ln2*z7)/28224000, H[-1, -1, 0, 1, 1, 1, 0, -1, 1] -> 
  (-282240000*li4half^2 - 23520000*li4half*ln2^4 - 490000*ln2^8 + 
    23184000*ln2^2*s6 - 207648000*ln2*s7a - 348768000*ln2*s7b + 
    388837575*s8a + 1846152000*s8b + 368928000*s8c + 54432000*s8d - 
    56448000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    183456000*li4half*ln2^2*z2 + 7800800*ln2^6*z2 - 334656000*s6*z2 + 
    243734400*li4half*z2^2 - 19244400*ln2^4*z2^2 - 38287200*ln2^2*z2^3 + 
    56428992*z2^4 - 94752000*li5half*z3 - 543312000*li4half*ln2*z3 - 
    21848400*ln2^5*z3 + 169092000*ln2^3*z2*z3 + 92748600*ln2*z2^2*z3 - 
    284760000*ln2^2*z3^2 - 338436000*z2*z3^2 + 136710000*ln2^3*z5 - 
    74340000*ln2*z2*z5 + 188598375*z3*z5 - 2617783875*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, 1, 1, -1, 1, 1] -> 
  (-874944000*li8half + 649152000*li7half*ln2 + 84672000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 133700*ln2^8 + 
    50904000*ln2^2*s6 + 75600000*ln2*s7a - 143136000*ln2*s7b - 
    288558900*s8a - 1841112000*s8b - 231840000*s8c - 106848000*s8d - 
    127008000*li6half*z2 + 49392000*li4half*ln2^2*z2 - 1568000*ln2^6*z2 + 
    344232000*s6*z2 - 12196800*li4half*z2^2 + 17955000*ln2^4*z2^2 + 
    61488000*ln2^2*z2^3 + 26865036*z2^4 + 224280000*li5half*z3 - 
    63504000*li4half*ln2*z3 - 4720800*ln2^5*z3 + 34566000*ln2^3*z2*z3 + 
    285629400*ln2*z2^2*z3 + 138568500*ln2^2*z3^2 + 229225500*z2*z3^2 + 
    207343500*ln2^3*z5 + 1122817500*ln2*z2*z5 + 24207750*z3*z5 - 
    1215529875*ln2*z7)/28224000, H[-1, -1, 0, 1, 1, 1, -1, 0, 1] -> 
  (645120000*li8half - 16128000*li6half*ln2^2 - 6400*ln2^8 - 
    90864000*ln2^2*s6 + 7200000*ln2*s7a - 19008000*ln2*s7b + 233400825*s8a + 
    1472184000*s8b + 171360000*s8c + 118944000*s8d - 8064000*li6half*z2 - 
    4032000*li5half*ln2*z2 - 10080000*li4half*ln2^2*z2 - 509600*ln2^6*z2 - 
    385056000*s6*z2 + 22780800*li4half*z2^2 - 2931600*ln2^4*z2^2 + 
    6667200*ln2^2*z2^3 - 26742888*z2^4 - 236880000*li5half*z3 + 
    7056000*li4half*ln2*z3 + 2268000*ln2^5*z3 - 22092000*ln2^3*z2*z3 - 
    179994600*ln2*z2^2*z3 - 11034000*ln2^2*z3^2 - 175644000*z2*z3^2 + 
    25389000*ln2^3*z5 - 461205000*ln2*z2*z5 + 134150625*z3*z5 - 
    156431250*ln2*z7)/8064000, H[-1, -1, 0, 1, 1, 1, -1, -1, 1] -> 
  (-169344000*li4half^2 + 903168000*li8half - 1072512000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 16464000*li4half*ln2^4 - 470400*ln2^8 - 
    53424000*ln2^2*s6 - 308448000*ln2*s7a - 54432000*ln2*s7b + 
    727478325*s8a + 3907512000*s8b + 610848000*s8c + 221760000*s8d + 
    112896000*li4half*ln2^2*z2 + 10192000*ln2^6*z2 - 859824000*s6*z2 + 
    179827200*li4half*z2^2 - 44310000*ln2^4*z2^2 - 68040000*ln2^2*z2^3 + 
    19825632*z2^4 - 443520000*li5half*z3 - 324576000*li4half*ln2*z3 - 
    9416400*ln2^5*z3 + 86520000*ln2^3*z2*z3 - 345051000*ln2*z2^2*z3 - 
    428683500*ln2^2*z3^2 - 599476500*z2*z3^2 - 246078000*ln2^3*z5 - 
    1680588000*ln2*z2*z5 + 437779125*z3*z5 - 120038625*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, 1, 0, 1, 1, 1] -> (-14246400*ln2^2*s6 + 7257600*ln2*s7a - 
    9676800*ln2*s7b + 25702425*s8a + 143169600*s8b + 16800000*s8c + 
    14246400*s8d - 52483200*s6*z2 + 2849280*li4half*z2^2 + 
    118720*ln2^4*z2^2 + 3168480*ln2^2*z2^3 + 853464*z2^4 - 
    24729600*li5half*z3 + 206080*ln2^5*z3 - 2060800*ln2^3*z2*z3 - 
    15744120*ln2*z2^2*z3 + 6195000*ln2^2*z3^2 - 15348900*z2*z3^2 + 
    20050800*ln2^3*z5 - 18711000*ln2*z2*z5 + 26962425*z3*z5 - 
    68534550*ln2*z7)/3763200, H[-1, -1, 0, 1, 1, 0, 1, 0, 1] -> 
  (-3091200*ln2^2*s6 + 2886975*s8a - 13137600*s8b + 6182400*s8c - 
    6182400*s8d + 13070400*s6*z2 - 1236480*li4half*z2^2 - 51520*ln2^4*z2^2 - 
    486080*ln2^2*z2^3 + 526668*z2^4 + 8601600*li5half*z3 - 71680*ln2^5*z3 + 
    716800*ln2^3*z2*z3 - 412440*ln2*z2^2*z3 - 3015600*ln2^2*z3^2 - 
    5070450*z2*z3^2 - 17312400*ln2*z2*z5 + 4340700*z3*z5 + 19698000*ln2*z7)/
   1881600, H[-1, -1, 0, 1, 1, 0, 1, -1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    54432000*ln2^2*s6 + 63168000*ln2*s7a + 147840000*ln2*s7b - 34991775*s8a - 
    148680000*s8b - 50400000*s8c + 36288000*s8d + 28224000*li5half*ln2*z2 - 
    47040000*li4half*ln2^2*z2 - 2195200*ln2^6*z2 - 65520000*s6*z2 - 
    59068800*li4half*z2^2 + 6358800*ln2^4*z2^2 + 52416000*ln2^2*z2^3 - 
    25088184*z2^4 - 91392000*li5half*z3 + 150528000*li4half*ln2*z3 + 
    7033600*ln2^5*z3 - 82292000*ln2^3*z2*z3 - 113463000*ln2*z2^2*z3 + 
    71568000*ln2^2*z3^2 + 35815500*z2*z3^2 - 77469000*ln2^3*z5 - 
    321447000*ln2*z2*z5 + 155812125*z3*z5 + 1107209250*ln2*z7)/18816000, 
 H[-1, -1, 0, 1, 1, 0, 0, 1, 1] -> (672000*ln2^2*s6 - 336000*ln2*s7a + 
    336000*ln2*s7b - 1087275*s8a - 6384000*s8b - 672000*s8c - 672000*s8d + 
    2856000*s6*z2 - 134400*li4half*z2^2 - 5600*ln2^4*z2^2 - 
    222000*ln2^2*z2^3 + 33606*z2^4 + 2016000*li5half*z3 - 16800*ln2^5*z3 + 
    168000*ln2^3*z2*z3 + 844200*ln2*z2^2*z3 - 283500*ln2^2*z3^2 + 
    420000*z2*z3^2 - 868000*ln2^3*z5 + 588000*ln2*z2*z5 - 1693125*z3*z5 + 
    2147250*ln2*z7)/672000, H[-1, -1, 0, 1, 1, 0, 0, 0, 1] -> 
  (2688000*ln2^2*s6 - 2531025*s8a + 16128000*s8b - 5376000*s8c + 
    5376000*s8d - 10752000*s6*z2 + 1075200*li4half*z2^2 + 44800*ln2^4*z2^2 - 
    179200*ln2^2*z2^3 + 486116*z2^4 - 10752000*li5half*z3 + 89600*ln2^5*z3 - 
    896000*ln2^3*z2*z3 - 256200*ln2*z2^2*z3 + 2520000*ln2^2*z3^2 + 
    4326000*z2*z3^2 + 12747000*ln2*z2*z5 - 5278875*z3*z5 - 21609000*ln2*z7)/
   4704000, H[-1, -1, 0, 1, 1, 0, 0, -1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    3628800*ln2^2*s6 - 6585600*ln2*s7a - 8467200*ln2*s7b + 5730375*s8a + 
    28358400*s8b + 5913600*s8c - 268800*s8d + 5644800*li4half*ln2^2*z2 + 
    235200*ln2^6*z2 - 1579200*s6*z2 + 4744320*li4half*z2^2 - 
    860720*ln2^4*z2^2 - 2442720*ln2^2*z2^3 + 1560672*z2^4 + 
    1948800*li5half*z3 - 13171200*li4half*ln2*z3 - 565040*ln2^5*z3 + 
    5924800*ln2^3*z2*z3 + 5329800*ln2*z2^2*z3 - 7740600*ln2^2*z3^2 - 
    5456850*z2*z3^2 + 1822800*ln2^3*z5 + 6602400*ln2*z2*z5 - 3463425*z3*z5 - 
    67855200*ln2*z7)/1881600, H[-1, -1, 0, 1, 1, 0, -1, 1, 1] -> 
  (29736000*ln2^2*s6 + 3696000*ln2*s7a + 10752000*ln2*s7b - 85949325*s8a - 
    430920000*s8b - 64512000*s8c - 48384000*s8d - 14112000*li5half*ln2*z2 - 
    18816000*li4half*ln2^2*z2 - 666400*ln2^6*z2 + 156744000*s6*z2 - 
    12499200*li4half*z2^2 + 3007200*ln2^4*z2^2 - 20773200*ln2^2*z2^3 + 
    5116788*z2^4 + 112056000*li5half*z3 + 23520000*li4half*ln2*z3 + 
    46200*ln2^5*z3 + 3458000*ln2^3*z2*z3 + 61366200*ln2*z2^2*z3 + 
    13728750*ln2^2*z3^2 + 68229000*z2*z3^2 - 4557000*ln2^3*z5 + 
    172756500*ln2*z2*z5 - 183555750*z3*z5 + 43785000*ln2*z7)/9408000, 
 H[-1, -1, 0, 1, 1, 0, -1, 0, 1] -> 
  (-1680000*ln2^2*s6 + 1935150*s8a - 5376000*s8b + 3360000*s8c - 
    3360000*s8d + 4956000*s6*z2 - 672000*li4half*z2^2 - 28000*ln2^4*z2^2 - 
    15400*ln2^2*z2^3 + 155724*z2^4 - 336000*li5half*z3 + 2800*ln2^5*z3 - 
    28000*ln2^3*z2*z3 - 850500*ln2*z2^2*z3 - 1795500*ln2^2*z3^2 - 
    1950375*z2*z3^2 - 8610000*ln2*z2*z5 + 4950750*z3*z5 + 11429250*ln2*z7)/
   4704000, H[-1, -1, 0, 1, 1, 0, -1, -1, 1] -> 
  (7200*ln2^2*s6 + 43200*ln2*s7a - 57600*ln2*s7b - 22440*ln2^2*z2^3 - 
    378*z2^4 + 16800*li5half*z3 - 140*ln2^5*z3 + 1400*ln2^3*z2*z3 + 
    18660*ln2*z2^2*z3 + 35625*ln2^2*z3^2 + 97650*ln2^3*z5 + 
    172350*ln2*z2*z5 - 13125*z3*z5 - 260550*ln2*z7)/134400, 
 H[-1, -1, 0, 1, 1, -1, 1, 1, 1] -> 
  (1411200000*li8half - 2032128000*li7half*ln2 + 65856000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 404600*ln2^8 + 210672000*ln2^2*s6 - 
    314496000*ln2*s7a + 574560000*ln2*s7b + 377667675*s8a + 2605176000*s8b + 
    207648000*s8c + 243936000*s8d + 254016000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 169344000*li4half*ln2^2*z2 + 
    2626400*ln2^6*z2 - 607824000*s6*z2 + 14918400*li4half*z2^2 - 
    67351200*ln2^4*z2^2 - 205077600*ln2^2*z2^3 - 103895352*z2^4 - 
    311472000*li5half*z3 + 232848000*li4half*ln2*z3 + 12297600*ln2^5*z3 - 
    84168000*ln2^3*z2*z3 - 482214600*ln2*z2^2*z3 - 422320500*ln2^2*z3^2 - 
    285610500*z2*z3^2 - 870387000*ln2^3*z5 - 2188116000*ln2*z2*z5 - 
    47714625*z3*z5 + 4456974375*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, 1, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4515840000*li8half + 112896000*li6half*ln2^2 - 
    4704000*li4half*ln2^4 - 53200*ln2^8 + 763056000*ln2^2*s6 - 
    102816000*ln2*s7a + 52416000*ln2*s7b - 1865788575*s8a - 11482968000*s8b - 
    1282848000*s8c - 1087968000*s8d + 112896000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 2469600*ln2^6*z2 + 
    3403680000*s6*z2 - 163968000*li4half*z2^2 + 22685600*ln2^4*z2^2 - 
    141271200*ln2^2*z2^3 + 271218288*z2^4 + 2103024000*li5half*z3 - 
    127008000*li4half*ln2*z3 - 22817200*ln2^5*z3 + 207004000*ln2^3*z2*z3 + 
    1512331800*ln2*z2^2*z3 + 25714500*ln2^2*z3^2 + 1390935000*z2*z3^2 - 
    150381000*ln2^3*z5 + 3676344000*ln2*z2*z5 - 1818691875*z3*z5 + 
    388731000*ln2*z7)/18816000, H[-1, -1, 0, 1, 1, -1, 1, -1, 1] -> 
  (2257920000*li7half*ln2 + 56448000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 238000*ln2^8 - 548352000*ln2^2*s6 + 
    560448000*ln2*s7a - 300384000*ln2*s7b - 104975325*s8a - 446040000*s8b - 
    151200000*s8c + 108864000*s8d + 112896000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 11720800*ln2^6*z2 - 196560000*s6*z2 + 
    21772800*li4half*z2^2 + 112803600*ln2^4*z2^2 + 267422400*ln2^2*z2^3 - 
    115060392*z2^4 - 274176000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    3166800*ln2^5*z3 - 149856000*ln2^3*z2*z3 + 20777400*ln2*z2^2*z3 + 
    679266000*ln2^2*z3^2 + 107446500*z2*z3^2 + 884058000*ln2^3*z5 + 
    1212498000*ln2*z2*z5 + 478020375*z3*z5 - 2524606875*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, 1, -1, 0, 1, 1] -> 
  (4515840000*li8half + 1354752000*li7half*ln2 - 37632000*li5half*ln2^3 + 
    156800*ln2^8 - 1024632000*ln2^2*s6 + 312480000*ln2*s7a - 
    463680000*ln2*s7b + 2093252175*s8a + 12467448000*s8b + 1487808000*s8c + 
    1165248000*s8d - 338688000*li6half*z2 - 84672000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1960000*ln2^6*z2 - 3829896000*s6*z2 + 
    241516800*li4half*z2^2 - 1402800*ln2^4*z2^2 + 264910800*ln2^2*z2^3 - 
    268548912*z2^4 - 2249352000*li5half*z3 - 70560000*li4half*ln2*z3 + 
    15804600*ln2^5*z3 - 169806000*ln2^3*z2*z3 - 1488324600*ln2*z2^2*z3 + 
    168918750*ln2^2*z3^2 - 1551564000*z2*z3^2 + 763297500*ln2^3*z5 - 
    3025953000*ln2*z2*z5 + 2250139500*z3*z5 - 3431673000*ln2*z7)/28224000, 
 H[-1, -1, 0, 1, 1, -1, 0, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    10584000*ln2^2*s6 + 43344000*ln2*s7a - 27216000*ln2*s7b - 7593075*s8a + 
    48384000*s8b - 16128000*s8c + 16128000*s8d - 28224000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 940800*ln2^6*z2 - 9324000*s6*z2 - 
    20059200*li4half*z2^2 + 10042200*ln2^4*z2^2 - 10210200*ln2^2*z2^3 + 
    11698788*z2^4 - 56952000*li5half*z3 + 45864000*li4half*ln2*z3 + 
    2385600*ln2^5*z3 - 16212000*ln2^3*z2*z3 - 19448100*ln2*z2^2*z3 + 
    56117250*ln2^2*z3^2 + 5315625*z2*z3^2 + 68355000*ln2^3*z5 + 
    136710000*ln2*z2*z5 + 5882625*z3*z5 - 241904250*ln2*z7)/14112000, 
 H[-1, -1, 0, 1, 1, -1, 0, -1, 1] -> 
  (-4515840000*li8half - 903168000*li7half*ln2 + 67200*ln2^8 + 
    918624000*ln2^2*s6 - 259392000*ln2*s7a + 182784000*ln2*s7b - 
    1837354575*s8a - 11068008000*s8b - 1285536000*s8c - 1028832000*s8d - 
    28224000*li5half*ln2*z2 + 37632000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 + 
    3221904000*s6*z2 - 200121600*li4half*z2^2 - 4104800*ln2^4*z2^2 - 
    210341600*ln2^2*z2^3 + 320394888*z2^4 + 2071776000*li5half*z3 - 
    47040000*li4half*ln2*z3 - 19224800*ln2^5*z3 + 221452000*ln2^3*z2*z3 + 
    1454539800*ln2*z2^2*z3 - 129717000*ln2^2*z3^2 + 1399492500*z2*z3^2 - 
    428358000*ln2^3*z5 + 3322914000*ln2*z2*z5 - 1938003375*z3*z5 + 
    1375563000*ln2*z7)/18816000, H[-1, -1, 0, 1, 1, -1, -1, 1, 1] -> 
  (1128960000*li7half*ln2 + 225792000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 
    168000*ln2^8 + 153216000*ln2^2*s6 + 195552000*ln2*s7a - 
    256032000*ln2*s7b - 515695950*s8a - 2585520000*s8b - 387072000*s8c - 
    290304000*s8d - 84672000*li6half*z2 - 4429600*ln2^6*z2 + 
    834624000*s6*z2 - 58060800*li4half*z2^2 + 29097600*ln2^4*z2^2 - 
    68493600*ln2^2*z2^3 + 20880288*z2^4 + 587664000*li5half*z3 - 
    4897200*ln2^5*z3 + 43680000*ln2^3*z2*z3 + 499867200*ln2*z2^2*z3 + 
    243747000*ln2^2*z3^2 + 444433500*z2*z3^2 + 432915000*ln2^3*z5 + 
    1927422000*ln2*z2*z5 - 1016001000*z3*z5 - 2219576625*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, 1, -1, -1, 0, 1] -> 
  (180633600*li8half - 4515840*li6half*ln2^2 - 1792*ln2^8 - 
    35945280*ln2^2*s6 + 4515840*ln2*s7a - 5080320*ln2*s7b + 86021145*s8a + 
    508132800*s8b + 61447680*s8c + 46932480*s8d - 4515840*li6half*z2 - 
    2822400*li5half*ln2*z2 - 1128960*li4half*ln2^2*z2 - 61152*ln2^6*z2 - 
    148760640*s6*z2 + 9217152*li4half*z2^2 - 1114176*ln2^4*z2^2 + 
    7063056*ln2^2*z2^3 - 10898532*z2^4 - 93159360*li5half*z3 + 
    1411200*li4half*ln2*z3 + 835128*ln2^5*z3 - 8116080*ln2^3*z2*z3 - 
    67401432*ln2*z2^2*z3 - 2603790*ln2^2*z3^2 - 66071880*z2*z3^2 + 
    9296280*ln2^3*z5 - 166950000*ln2*z2*z5 + 93714075*z3*z5 - 
    27820485*ln2*z7)/1128960, H[-1, -1, 0, 1, 1, -1, -1, -1, 1] -> 
  (-352800000*li8half - 338688000*li7half*ln2 - 42336000*li6half*ln2^2 - 
    350*ln2^8 + 35784000*ln2^2*s6 - 51912000*ln2*s7a + 29232000*ln2*s7b + 
    1967175*s8a - 114408000*s8b + 11088000*s8c - 7560000*s8d + 
    7056000*li4half*ln2^2*z2 + 1332800*ln2^6*z2 + 13356000*s6*z2 - 
    453600*li4half*z2^2 - 8765400*ln2^4*z2^2 - 7345800*ln2^2*z2^3 + 
    30249738*z2^4 + 15120000*li5half*z3 - 8820000*li4half*ln2*z3 - 
    493500*ln2^5*z3 + 14049000*ln2^3*z2*z3 - 2060100*ln2*z2^2*z3 - 
    56692125*ln2^2*z3^2 - 7985250*z2*z3^2 - 78608250*ln2^3*z5 - 
    121668750*ln2*z2*z5 + 81340875*z3*z5 + 336026250*ln2*z7)/14112000, 
 H[-1, -1, 0, 1, 0, 1, 1, 1, 1] -> 
  (-112896000*li4half^2 + 903168000*li8half + 677376000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    9408000*li4half*ln2^4 - 308000*ln2^8 + 171360000*ln2^2*s6 - 
    62496000*ln2*s7a - 6048000*ln2*s7b - 181869975*s8a - 676872000*s8b - 
    147168000*s8c - 36288000*s8d - 338688000*li6half*z2 - 
    225792000*li5half*ln2*z2 + 2038400*ln2^6*z2 + 192528000*s6*z2 - 
    18547200*li4half*z2^2 - 5476800*ln2^4*z2^2 - 38035200*ln2^2*z2^3 - 
    51124176*z2^4 + 495936000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    4603200*ln2^5*z3 + 34272000*ln2^3*z2*z3 + 204939000*ln2*z2^2*z3 - 
    25452000*ln2^2*z3^2 + 87885000*z2*z3^2 - 118482000*ln2^3*z5 + 
    525861000*ln2*z2*z5 - 410011875*z3*z5 - 382528125*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, 0, 1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    74592000*ln2^2*s6 - 112896000*ln2*s7a - 112896000*ln2*s7b + 
    51984450*s8a + 228816000*s8b + 76608000*s8c - 76608000*s8d + 
    112896000*li6half*z2 + 56448000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 862400*ln2^6*z2 + 170856000*s6*z2 + 
    89107200*li4half*z2^2 + 2536800*ln2^4*z2^2 - 31516800*ln2^2*z2^3 + 
    37191852*z2^4 - 58464000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    7744800*ln2^5*z3 + 36288000*ln2^3*z2*z3 + 83185200*ln2*z2^2*z3 - 
    117054000*ln2^2*z3^2 - 38823750*z2*z3^2 + 83727000*ln2*z2*z5 - 
    230209875*z3*z5 - 1100405250*ln2*z7)/28224000, 
 H[-1, -1, 0, 1, 0, 1, 1, -1, 1] -> 
  (-592704000*li4half^2 - 3161088000*li8half - 677376000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    49392000*li4half*ln2^4 - 659400*ln2^8 + 533232000*ln2^2*s6 - 
    574560000*ln2*s7a - 631008000*ln2*s7b - 488823300*s8a - 3987648000*s8b - 
    185472000*s8c - 562464000*s8d + 225792000*li5half*ln2*z2 + 
    423360000*li4half*ln2^2*z2 + 13563200*ln2^6*z2 + 1498896000*s6*z2 + 
    394128000*li4half*z2^2 - 4275600*ln2^4*z2^2 - 170469600*ln2^2*z2^3 + 
    277398432*z2^4 + 1012032000*li5half*z3 - 1340640000*li4half*ln2*z3 - 
    62647200*ln2^5*z3 + 514752000*ln2^3*z2*z3 + 1222905600*ln2*z2^2*z3 - 
    582088500*ln2^2*z3^2 + 305802000*z2*z3^2 + 77469000*ln2^3*z5 + 
    2343411000*ln2*z2*z5 - 699993000*z3*z5 - 4624003125*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, 0, 1, 0, 1, 1] -> (322560*li4half^2 + 26880*li4half*ln2^4 + 
    560*ln2^8 - 1128960*ln2^2*s6 + 967680*ln2*s7a + 322560*ln2*s7b + 
    680715*s8a + 6269760*s8b + 322560*s8c + 967680*s8d + 1290240*li6half*z2 + 
    645120*li5half*ln2*z2 - 161280*li4half*ln2^2*z2 - 10304*ln2^6*z2 - 
    2701440*s6*z2 - 161280*li4half*z2^2 + 40320*ln2^4*z2^2 + 
    350208*ln2^2*z2^3 - 124776*z2^4 - 2338560*li5half*z3 + 
    564480*li4half*ln2*z3 + 43008*ln2^5*z3 - 430080*ln2^3*z2*z3 - 
    1429344*ln2*z2^2*z3 + 846720*ln2^2*z3^2 - 134820*z2*z3^2 + 
    833280*ln2^3*z5 - 2061360*ln2*z2*z5 + 961065*z3*z5 + 1942920*ln2*z7)/
   161280, H[-1, -1, 0, 1, 0, 1, 0, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    7660800*ln2^2*s6 + 11289600*ln2*s7a + 11289600*ln2*s7b - 1208025*s8a - 
    33264000*s8b - 7257600*s8c + 7257600*s8d - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 - 14515200*s6*z2 - 12378240*li4half*z2^2 + 
    189840*ln2^4*z2^2 + 5332320*ln2^2*z2^3 - 8485056*z2^4 - 
    6048000*li5half*z3 + 19756800*li4half*ln2*z3 + 873600*ln2^5*z3 - 
    5443200*ln2^3*z2*z3 - 12363120*ln2*z2^2*z3 + 11163600*ln2^2*z3^2 + 
    415800*z2*z3^2 - 3276000*ln2*z2*z5 + 53138925*z3*z5 + 119676375*ln2*z7)/
   2822400, H[-1, -1, 0, 1, 0, 1, 0, -1, 1] -> 
  (1152000*li4half^2 + 96000*li4half*ln2^4 + 2000*ln2^8 - 518400*ln2^2*s6 + 
    1036800*ln2*s7a + 1267200*ln2*s7b - 859050*s8a - 3456000*s8b - 
    1036800*s8c + 345600*s8d + 230400*li6half*z2 + 115200*li5half*ln2*z2 - 
    748800*li4half*ln2^2*z2 - 31840*ln2^6*z2 - 309600*s6*z2 - 
    881280*li4half*z2^2 + 83280*ln2^4*z2^2 + 357480*ln2^2*z2^3 - 
    299052*z2^4 - 748800*li5half*z3 + 2217600*li4half*ln2*z3 + 
    98640*ln2^5*z3 - 784800*ln2^3*z2*z3 - 988380*ln2*z2^2*z3 + 
    1328400*ln2^2*z3^2 + 835425*z2*z3^2 - 223200*ln2^3*z5 - 
    648900*ln2*z2*z5 + 925200*z3*z5 + 9864900*ln2*z7)/57600, 
 H[-1, -1, 0, 1, 0, 1, -1, 1, 1] -> 
  (225792000*li8half - 1580544000*li7half*ln2 - 225792000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 700000*ln2^8 + 
    258048000*ln2^2*s6 - 177408000*ln2*s7a + 302400000*ln2*s7b - 
    52899525*s8a + 416808000*s8b + 50400000*s8c - 78624000*s8d + 
    677376000*li6half*z2 - 56448000*li4half*ln2^2*z2 + 2038400*ln2^6*z2 + 
    319536000*s6*z2 - 38304000*li4half*z2^2 - 60160800*ln2^4*z2^2 - 
    256603200*ln2^2*z2^3 + 31235976*z2^4 + 129024000*li5half*z3 + 
    84672000*li4half*ln2*z3 + 4099200*ln2^5*z3 + 31920000*ln2^3*z2*z3 - 
    67372200*ln2*z2^2*z3 - 375480000*ln2^2*z3^2 + 34965000*z2*z3^2 - 
    455700000*ln2^3*z5 - 1054494000*ln2*z2*z5 - 993344625*z3*z5 + 
    2700699750*ln2*z7)/56448000, H[-1, -1, 0, 1, 0, 1, -1, 0, 1] -> 
  (-104832000*ln2^2*s6 + 38304000*ln2*s7a + 38304000*ln2*s7b + 
    141286950*s8a + 511056000*s8b + 76608000*s8c + 92736000*s8d - 
    56448000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 744800*ln2^6*z2 - 278964000*s6*z2 + 
    17136000*li4half*z2^2 - 3990000*ln2^4*z2^2 + 46263000*ln2^2*z2^3 - 
    42646788*z2^4 - 178416000*li5half*z3 + 21168000*li4half*ln2*z3 + 
    2368800*ln2^5*z3 - 16044000*ln2^3*z2*z3 - 145460700*ln2*z2^2*z3 + 
    31815000*ln2^2*z3^2 - 118148625*z2*z3^2 - 285453000*ln2*z2*z5 + 
    518773500*z3*z5 + 447622875*ln2*z7)/14112000, 
 H[-1, -1, 0, 1, 0, 1, -1, -1, 1] -> 
  (67737600*li4half^2 + 203212800*li8half + 158054400*li7half*ln2 + 
    22579200*li6half*ln2^2 + 6585600*li4half*ln2^4 + 161840*ln2^8 - 
    97070400*ln2^2*s6 + 92736000*ln2*s7a + 44755200*ln2*s7b + 39762450*s8a + 
    322560000*s8b + 1612800*s8c + 74592000*s8d - 50803200*li4half*ln2^2*z2 - 
    2304960*ln2^6*z2 - 187286400*s6*z2 - 40118400*li4half*z2^2 + 
    9723840*ln2^4*z2^2 + 43718640*ln2^2*z2^3 - 35165376*z2^4 - 
    149184000*li5half*z3 + 136886400*li4half*ln2*z3 + 6782160*ln2^5*z3 - 
    60412800*ln2^3*z2*z3 - 126841680*ln2*z2^2*z3 + 111658050*ln2^2*z3^2 - 
    20084400*z2*z3^2 + 46481400*ln2^3*z5 - 134807400*ln2*z2*z5 + 
    179786250*z3*z5 + 344350125*ln2*z7)/5644800, 
 H[-1, -1, 0, 1, 0, 0, 1, 1, 1] -> (-26880000*ln2^2*s6 + 19488000*ln2*s7a - 
    18144000*ln2*s7b + 53150475*s8a + 221424000*s8b + 38304000*s8c + 
    13440000*s8d - 71568000*s6*z2 + 2688000*li4half*z2^2 + 
    112000*ln2^4*z2^2 + 7918400*ln2^2*z2^3 + 2275356*z2^4 - 
    64512000*li5half*z3 + 537600*ln2^5*z3 - 5376000*ln2^3*z2*z3 - 
    41567400*ln2*z2^2*z3 + 12138000*ln2^2*z3^2 - 27846000*z2*z3^2 + 
    33418000*ln2^3*z5 - 37653000*ln2*z2*z5 + 72457875*z3*z5 - 
    104086500*ln2*z7)/9408000, H[-1, -1, 0, 1, 0, 0, 1, 0, 1] -> 
  (1344000*ln2^2*s6 - 2332050*s8a + 672000*s8b - 2688000*s8c + 2688000*s8d - 
    4536000*s6*z2 + 537600*li4half*z2^2 + 22400*ln2^4*z2^2 - 
    470400*ln2^2*z2^3 - 813998*z2^4 + 2192400*ln2*z2^2*z3 + 
    756000*ln2^2*z3^2 + 1485750*z2*z3^2 + 5901000*ln2*z2*z5 - 1299375*z3*z5 + 
    367500*ln2*z7)/672000, H[-1, -1, 0, 1, 0, 0, 1, -1, 1] -> 
  (103488000*ln2^2*s6 - 43680000*ln2*s7a - 6048000*ln2*s7b - 127559775*s8a - 
    643104000*s8b - 86688000*s8c - 77952000*s8d - 56448000*li5half*ln2*z2 + 
    470400*ln2^6*z2 + 238224000*s6*z2 - 15590400*li4half*z2^2 - 
    5353600*ln2^4*z2^2 - 54765200*ln2^2*z2^3 + 7769856*z2^4 + 
    193536000*li5half*z3 - 1612800*ln2^5*z3 + 32004000*ln2^3*z2*z3 + 
    131153400*ln2*z2^2*z3 - 39984000*ln2^2*z3^2 + 96694500*z2*z3^2 - 
    28861000*ln2^3*z5 + 299292000*ln2*z2*z5 - 296790375*z3*z5 - 
    23352000*ln2*z7)/9408000, H[-1, -1, 0, 1, 0, 0, 0, 1, 1] -> 
  (16128000*ln2^2*s6 - 12096000*ln2*s7a + 6720000*ln2*s7b - 22901025*s8a - 
    175728000*s8b - 8064000*s8c - 29568000*s8d + 99120000*s6*z2 - 
    5913600*li4half*z2^2 - 246400*ln2^4*z2^2 - 3550400*ln2^2*z2^3 + 
    5278936*z2^4 + 40320000*li5half*z3 - 336000*ln2^5*z3 + 
    3360000*ln2^3*z2*z3 + 15338400*ln2*z2^2*z3 - 12222000*ln2^2*z3^2 + 
    2887500*z2*z3^2 - 24304000*ln2^3*z5 - 15834000*ln2*z2*z5 - 
    25438875*z3*z5 + 45115875*ln2*z7)/4704000, 
 H[-1, -1, 0, 1, 0, 0, 0, 0, 1] -> 
  (137025*s8a + 2352000*s8b + 192000*ln2^2*z2^3 + 483734*z2^4 - 
    176400*ln2*z2^2*z3 + 126000*z2*z3^2 - 630000*ln2*z2*z5 - 2417625*z3*z5 - 
    3304875*ln2*z7)/336000, H[-1, -1, 0, 1, 0, 0, 0, -1, 1] -> 
  (-28224000*ln2^2*s6 + 12096000*ln2*s7a - 6720000*ln2*s7b + 44968350*s8a + 
    260736000*s8b + 32256000*s8c + 24192000*s8d - 70728000*s6*z2 + 
    4838400*li4half*z2^2 + 201600*ln2^4*z2^2 + 11001200*ln2^2*z2^3 + 
    7066046*z2^4 - 62496000*li5half*z3 + 520800*ln2^5*z3 - 
    5208000*ln2^3*z2*z3 - 40954200*ln2*z2^2*z3 + 8820000*ln2^2*z3^2 - 
    37311750*z2*z3^2 + 18228000*ln2^3*z5 - 86289000*ln2*z2*z5 + 
    68754000*z3*z5 - 110457375*ln2*z7)/4704000, 
 H[-1, -1, 0, 1, 0, 0, -1, 1, 1] -> (-2251200*ln2^2*s6 - 2419200*ln2*s7a + 
    4636800*ln2*s7b + 725550*s8a - 16262400*s8b + 1344000*s8c - 3225600*s8d + 
    5644800*li5half*ln2*z2 - 47040*ln2^6*z2 + 10920000*s6*z2 - 
    645120*li4half*z2^2 + 443520*ln2^4*z2^2 + 3167920*ln2^2*z2^3 - 
    323052*z2^4 + 336000*li5half*z3 - 2800*ln2^5*z3 - 1559600*ln2^3*z2*z3 - 
    3269700*ln2*z2^2*z3 - 853650*ln2^2*z3^2 - 3102750*z2*z3^2 - 
    7595000*ln2^3*z5 - 22415400*ln2*z2*z5 + 11226600*z3*z5 + 28647675*ln2*z7)/
   940800, H[-1, -1, 0, 1, 0, 0, -1, 0, 1] -> 
  (6048000*ln2^2*s6 - 9348675*s8a + 28056000*s8b - 12096000*s8c + 
    12096000*s8d - 27132000*s6*z2 + 2419200*li4half*z2^2 + 
    100800*ln2^4*z2^2 - 970200*ln2^2*z2^3 + 515197*z2^4 - 
    10080000*li5half*z3 + 84000*ln2^5*z3 - 840000*ln2^3*z2*z3 + 
    5399100*ln2*z2^2*z3 + 5008500*ln2^2*z3^2 + 13206375*z2*z3^2 + 
    30187500*ln2*z2*z5 - 29200500*z3*z5 - 31623375*ln2*z7)/2352000, 
 H[-1, -1, 0, 1, 0, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    30576000*ln2^2*s6 + 10752000*ln2*s7a - 59808000*ln2*s7b + 104252925*s8a + 
    666624000*s8b + 63168000*s8c + 77952000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 226464000*s6*z2 + 39580800*li4half*z2^2 - 
    3642800*ln2^4*z2^2 + 4760000*ln2^2*z2^3 + 4256508*z2^4 - 
    160608000*li5half*z3 - 65856000*li4half*ln2*z3 - 1405600*ln2^5*z3 + 
    15428000*ln2^3*z2*z3 - 50156400*ln2*z2^2*z3 + 4924500*ln2^2*z3^2 - 
    75747000*z2*z3^2 + 68355000*ln2^3*z5 - 11613000*ln2*z2*z5 + 
    157801875*z3*z5 - 542928750*ln2*z7)/9408000, 
 H[-1, -1, 0, 1, 0, -1, 1, 1, 1] -> 
  (-1128960000*li8half - 451584000*li7half*ln2 - 338688000*li6half*ln2^2 - 
    75264000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 610400*ln2^8 - 
    303408000*ln2^2*s6 - 78624000*ln2*s7a - 8064000*ln2*s7b + 352344825*s8a + 
    583128000*s8b + 425376000*s8c - 114912000*s8d + 338688000*li6half*z2 + 
    338688000*li5half*ln2*z2 + 169344000*li4half*ln2^2*z2 + 
    2038400*ln2^6*z2 + 201600000*s6*z2 + 13708800*li4half*z2^2 + 
    8685600*ln2^4*z2^2 + 166051200*ln2^2*z2^3 + 98812872*z2^4 - 
    391104000*li5half*z3 - 239904000*li4half*ln2*z3 - 6736800*ln2^5*z3 + 
    924000*ln2^3*z2*z3 - 332425800*ln2*z2^2*z3 - 116644500*ln2^2*z3^2 - 
    374598000*z2*z3^2 - 45570000*ln2^3*z5 - 1500723000*ln2*z2*z5 + 
    986146875*z3*z5 + 443110500*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, 0, -1, 1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 + 
    18144000*ln2^2*s6 + 9273600*ln2*s7a + 9273600*ln2*s7b - 40014450*s8a - 
    116323200*s8b - 43545600*s8c + 9676800*s8d - 16934400*li6half*z2 - 
    5644800*li5half*ln2*z2 - 8467200*li4half*ln2^2*z2 - 329280*ln2^6*z2 - 
    8769600*s6*z2 - 8789760*li4half*z2^2 + 927360*ln2^4*z2^2 - 
    3450720*ln2^2*z2^3 - 2914416*z2^4 + 11692800*li5half*z3 + 
    25401600*li4half*ln2*z3 + 960960*ln2^5*z3 - 5376000*ln2^3*z2*z3 + 
    19989900*ln2*z2^2*z3 + 17980200*ln2^2*z3^2 + 39296250*z2*z3^2 + 
    101102400*ln2*z2*z5 - 47868975*z3*z5 + 40768875*ln2*z7)/2822400, 
 H[-1, -1, 0, 1, 0, -1, 1, -1, 1] -> 
  (1693440000*li8half + 225792000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    56448000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 434000*ln2^8 + 
    87696000*ln2^2*s6 - 93744000*ln2*s7a - 129024000*ln2*s7b + 
    390850425*s8a + 2733192000*s8b + 280224000*s8c + 185472000*s8d - 
    169344000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 4704000*ln2^6*z2 - 
    603792000*s6*z2 + 37094400*li4half*z2^2 - 48904800*ln2^4*z2^2 - 
    120724800*ln2^2*z2^3 - 68827392*z2^4 - 286272000*li5half*z3 - 
    14112000*li4half*ln2*z3 + 1797600*ln2^5*z3 + 74928000*ln2^3*z2*z3 - 
    182057400*ln2*z2^2*z3 - 169596000*ln2^2*z3^2 - 295942500*z2*z3^2 - 
    6835500*ln2^3*z5 - 337522500*ln2*z2*z5 - 137662875*z3*z5 - 
    1197834750*ln2*z7)/28224000, H[-1, -1, 0, 1, 0, -1, 0, 1, 1] -> 
  (96000*ln2^2*s6 - 96000*ln2*s7a - 96000*ln2*s7b - 1612800*li6half*z2 - 
    537600*li5half*ln2*z2 + 2240*ln2^6*z2 - 604800*s6*z2 - 11200*ln2^4*z2^2 + 
    65760*ln2^2*z2^3 + 218292*z2^4 + 336000*li5half*z3 - 2800*ln2^5*z3 + 
    28000*ln2^3*z2*z3 + 147300*ln2*z2^2*z3 - 46500*ln2^2*z3^2 + 
    163800*z2*z3^2 + 420600*ln2*z2*z5 - 86625*z3*z5 - 633750*ln2*z7)/134400, 
 H[-1, -1, 0, 1, 0, -1, 0, 0, 1] -> 
  (-2016000*ln2^2*s6 + 2628675*s8a - 5040000*s8b + 4032000*s8c - 
    4032000*s8d + 8064000*s6*z2 - 806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 
    560000*ln2^2*z2^3 + 982948*z2^4 + 3360000*li5half*z3 - 28000*ln2^5*z3 + 
    280000*ln2^3*z2*z3 - 2490600*ln2*z2^2*z3 - 1449000*ln2^2*z3^2 - 
    2460500*z2*z3^2 - 10528000*ln2*z2*z5 + 797125*z3*z5 + 6829375*ln2*z7)/
   1568000, H[-1, -1, 0, 1, 0, -1, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    29904000*ln2^2*s6 + 40992000*ln2*s7a + 40992000*ln2*s7b - 11236575*s8a - 
    4032000*s8b - 22176000*s8c + 22176000*s8d - 28224000*li6half*z2 - 
    9408000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1136800*ln2^6*z2 - 
    54936000*s6*z2 - 19555200*li4half*z2^2 + 4281200*ln2^4*z2^2 + 
    18345600*ln2^2*z2^3 - 2837172*z2^4 - 39648000*li5half*z3 + 
    65856000*li4half*ln2*z3 + 3074400*ln2^5*z3 - 32116000*ln2^3*z2*z3 - 
    43774500*ln2*z2^2*z3 + 47670000*ln2^2*z3^2 + 18359250*z2*z3^2 - 
    51460500*ln2*z2*z5 + 44790375*z3*z5 + 284723250*ln2*z7)/4704000, 
 H[-1, -1, 0, 1, 0, -1, -1, 1, 1] -> 
  (45158400*li7half*ln2 + 11289600*li6half*ln2^2 + 6720*ln2^8 - 
    5376000*ln2^2*s6 + 6585600*ln2*s7a - 10348800*ln2*s7b + 1725150*s8a - 
    6384000*s8b + 1344000*s8c - 1344000*s8d - 22579200*li6half*z2 + 
    1881600*li4half*ln2^2*z2 - 5779200*s6*z2 + 13440*li4half*z2^2 + 
    976640*ln2^4*z2^2 + 5712560*ln2^2*z2^3 + 2014332*z2^4 + 
    2688000*li5half*z3 - 2352000*li4half*ln2*z3 - 120400*ln2^5*z3 - 
    952000*ln2^3*z2*z3 + 2929080*ln2*z2^2*z3 + 8586900*ln2^2*z3^2 + 
    770700*z2*z3^2 + 16405200*ln2^3*z5 + 26896800*ln2*z2*z5 + 8646750*z3*z5 - 
    89350275*ln2*z7)/1881600, H[-1, -1, 0, 1, 0, -1, -1, 0, 1] -> 
  (336000*ln2^2*s6 - 862575*s8a + 3192000*s8b - 672000*s8c + 672000*s8d + 
    5644800*li6half*z2 + 1881600*li5half*ln2*z2 - 7840*ln2^6*z2 + 
    772800*s6*z2 + 134400*li4half*z2^2 + 44800*ln2^4*z2^2 - 
    279440*ln2^2*z2^3 - 225252*z2^4 - 1814400*li5half*z3 + 15120*ln2^5*z3 - 
    151200*ln2^3*z2*z3 - 141540*ln2*z2^2*z3 + 432600*ln2^2*z3^2 + 
    481950*z2*z3^2 + 501900*ln2*z2*z5 - 3944850*z3*z5 - 4358550*ln2*z7)/
   940800, H[-1, -1, 0, 1, 0, -1, -1, -1, 1] -> 
  (84672000*li4half^2 - 2257920000*li8half - 1354752000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 37632000*li5half*ln2^3 + 
    7056000*li4half*ln2^4 + 203000*ln2^8 + 222768000*ln2^2*s6 - 
    44352000*ln2*s7a + 463680000*ln2*s7b - 728470575*s8a - 4069800000*s8b - 
    610848000*s8c - 207648000*s8d - 84672000*li4half*ln2^2*z2 - 
    3684800*ln2^6*z2 + 824544000*s6*z2 - 113500800*li4half*z2^2 + 
    11146800*ln2^4*z2^2 - 6871200*ln2^2*z2^3 + 111524328*z2^4 + 
    415296000*li5half*z3 + 197568000*li4half*ln2*z3 + 4771200*ln2^5*z3 - 
    51828000*ln2^3*z2*z3 + 264612600*ln2*z2^2*z3 + 43690500*ln2^2*z3^2 + 
    595948500*z2*z3^2 - 473928000*ln2^3*z5 + 454608000*ln2*z2*z5 - 
    236793375*z3*z5 + 3495397500*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, -1, 1, 1, 1, 1] -> 
  (-84672000*li8half + 705600000*li7half*ln2 - 98784000*li6half*ln2^2 - 
    32928000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 142100*ln2^8 - 
    189000000*ln2^2*s6 + 88704000*ln2*s7a - 221760000*ln2*s7b + 
    59883075*s8a + 117936000*s8b + 108864000*s8c - 52416000*s8d - 
    42336000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 - 509600*ln2^6*z2 + 83664000*s6*z2 + 
    2217600*li4half*z2^2 + 24435600*ln2^4*z2^2 + 95533200*ln2^2*z2^3 + 
    30815532*z2^4 - 39816000*li5half*z3 - 81144000*li4half*ln2*z3 - 
    3666600*ln2^5*z3 + 16968000*ln2^3*z2*z3 + 4006800*ln2*z2^2*z3 + 
    132835500*ln2^2*z3^2 - 105021000*z2*z3^2 + 321268500*ln2^3*z5 + 
    170478000*ln2*z2*z5 + 233698500*z3*z5 - 1616603625*ln2*z7)/28224000, 
 H[-1, -1, 0, 1, -1, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2257920000*li8half - 56448000*li6half*ln2^2 + 
    2352000*li4half*ln2^4 + 26600*ln2^8 - 343728000*ln2^2*s6 + 
    26544000*ln2*s7a - 36960000*ln2*s7b + 884658075*s8a + 5409264000*s8b + 
    615552000*s8c + 485184000*s8d - 70560000*li6half*z2 - 
    4704000*li5half*ln2*z2 - 11760000*li4half*ln2^2*z2 - 940800*ln2^6*z2 - 
    1556016000*s6*z2 + 71635200*li4half*z2^2 - 9520000*ln2^4*z2^2 + 
    53071200*ln2^2*z2^3 - 122779488*z2^4 - 919800000*li5half*z3 + 
    51744000*li4half*ln2*z3 + 9821000*ln2^5*z3 - 90762000*ln2^3*z2*z3 - 
    679471800*ln2*z2^2*z3 - 39343500*ln2^2*z3^2 - 651661500*z2*z3^2 + 
    61519500*ln2^3*z5 - 1717726500*ln2*z2*z5 + 716858625*z3*z5 - 
    306799500*ln2*z7)/9408000, H[-1, -1, 0, 1, -1, 1, 1, -1, 1] -> 
  (-45158400*li8half - 79027200*li7half*ln2 + 16934400*li6half*ln2^2 + 
    3763200*li5half*ln2^3 - 470400*li4half*ln2^4 - 12880*ln2^8 + 
    53356800*ln2^2*s6 - 27820800*ln2*s7a + 9811200*ln2*s7b - 36717975*s8a - 
    198878400*s8b - 23788800*s8c - 29836800*s8d - 11289600*li5half*ln2*z2 + 
    2822400*li4half*ln2^2*z2 + 344960*ln2^6*z2 + 86486400*s6*z2 - 
    5967360*li4half*z2^2 - 5317200*ln2^4*z2^2 - 21527520*ln2^2*z2^3 + 
    12549816*z2^4 + 65318400*li5half*z3 - 1411200*li4half*ln2*z3 - 
    520800*ln2^5*z3 + 13204800*ln2^3*z2*z3 + 38101560*ln2*z2^2*z3 - 
    32841900*ln2^2*z3^2 + 28646100*z2*z3^2 - 43747200*ln2^3*z5 + 
    63243600*ln2*z2*z5 - 106962975*z3*z5 + 13830075*ln2*z7)/3763200, 
 H[-1, -1, 0, 1, -1, 1, 0, 1, 1] -> 
  (-18063360000*li8half - 5419008000*li7half*ln2 + 150528000*li5half*ln2^3 - 
    627200*ln2^8 + 3404016000*ln2^2*s6 - 995904000*ln2*s7a + 
    1854720000*ln2*s7b - 7126785225*s8a - 42701400000*s8b - 5098464000*s8c - 
    3650976000*s8d + 1185408000*li6half*z2 + 282240000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 2900800*ln2^6*z2 + 12241152000*s6*z2 - 
    747129600*li4half*z2^2 - 14666400*ln2^4*z2^2 - 701047200*ln2^2*z2^3 + 
    967497264*z2^4 + 7012656000*li5half*z3 + 141120000*li4half*ln2*z3 - 
    52558800*ln2^5*z3 + 513828000*ln2^3*z2*z3 + 4801242600*ln2*z2^2*z3 - 
    587223000*ln2^2*z3^2 + 5348385000*z2*z3^2 - 2834454000*ln2^3*z5 + 
    9668988000*ln2*z2*z5 - 6223809375*z3*z5 + 14229432000*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, -1, 1, 0, 0, 1] -> (13104000*ln2^2*s6 - 9072000*ln2*s7a + 
    37968000*ln2*s7b - 26131350*s8a - 128688000*s8b - 31584000*s8c + 
    3360000*s8d + 18816000*li5half*ln2*z2 - 156800*ln2^6*z2 - 4368000*s6*z2 + 
    672000*li4half*z2^2 - 3696000*ln2^4*z2^2 + 8596000*ln2^2*z2^3 - 
    16377356*z2^4 + 6216000*li5half*z3 - 51800*ln2^5*z3 - 
    2128000*ln2^3*z2*z3 + 6648600*ln2*z2^2*z3 - 8001000*ln2^2*z3^2 + 
    25948125*z2*z3^2 - 45570000*ln2^3*z5 - 25305000*ln2*z2*z5 + 
    18734625*z3*z5 + 274443750*ln2*z7)/4704000, 
 H[-1, -1, 0, 1, -1, 1, 0, -1, 1] -> 
  (9031680000*li8half + 1806336000*li7half*ln2 - 134400*ln2^8 - 
    1755600000*ln2^2*s6 + 482496000*ln2*s7a - 317184000*ln2*s7b + 
    3573894975*s8a + 21776664000*s8b + 2452128000*s8c + 2091936000*s8d - 
    28224000*li6half*z2 + 47040000*li5half*ln2*z2 - 
    37632000*li4half*ln2^2*z2 - 744800*ln2^6*z2 - 6484128000*s6*z2 + 
    412742400*li4half*z2^2 - 873600*ln2^4*z2^2 + 402136000*ln2^2*z2^3 - 
    677838744*z2^4 - 4207392000*li5half*z3 + 47040000*li4half*ln2*z3 + 
    37021600*ln2^5*z3 - 412356000*ln2^3*z2*z3 - 2856558600*ln2*z2^2*z3 + 
    243369000*ln2^2*z3^2 - 2694783000*z2*z3^2 + 774690000*ln2^3*z5 - 
    6414513000*ln2*z2*z5 + 3904201875*z3*z5 - 2421132000*ln2*z7)/18816000, 
 H[-1, -1, 0, 1, -1, 1, -1, 1, 1] -> 
  (508032000*li8half - 818496000*li7half*ln2 + 42336000*li6half*ln2^2 + 
    14112000*li5half*ln2^3 + 116200*ln2^8 + 7056000*ln2^2*s6 - 
    115920000*ln2*s7a + 131040000*ln2*s7b + 312053175*s8a + 1886976000*s8b + 
    302400000*s8c + 99792000*s8d - 42336000*li6half*z2 + 3528000*ln2^6*z2 - 
    443016000*s6*z2 + 19958400*li4half*z2^2 - 43562400*ln2^4*z2^2 - 
    44377200*ln2^2*z2^3 + 42711408*z2^4 - 210168000*li5half*z3 + 
    2368800*ln2^5*z3 - 6930000*ln2^3*z2*z3 - 270774000*ln2*z2^2*z3 - 
    254236500*ln2^2*z3^2 - 218200500*z2*z3^2 - 232407000*ln2^3*z5 - 
    1299847500*ln2*z2*z5 - 22443750*z3*z5 + 1230712875*ln2*z7)/28224000, 
 H[-1, -1, 0, 1, -1, 1, -1, 0, 1] -> 
  (-18063360000*li8half + 451584000*li6half*ln2^2 + 179200*ln2^8 + 
    2935296000*ln2^2*s6 - 50400000*ln2*s7a + 514080000*ln2*s7b - 
    7489131300*s8a - 45178560000*s8b - 5544000000*s8c - 3769920000*s8d + 
    536256000*li6half*z2 + 84672000*li5half*ln2*z2 + 3175200*ln2^6*z2 + 
    12394368000*s6*z2 - 753984000*li4half*z2^2 + 96650400*ln2^4*z2^2 - 
    432230400*ln2^2*z2^3 + 837218232*z2^4 + 7518672000*li5half*z3 - 
    62655600*ln2^5*z3 + 596568000*ln2^3*z2*z3 + 5648680800*ln2*z2^2*z3 + 
    601965000*ln2^2*z3^2 + 5691798000*z2*z3^2 - 546840000*ln2^3*z5 + 
    15117039000*ln2*z2*z5 - 6001773750*z3*z5 + 3572281125*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, -1, 1, -1, -1, 1] -> 
  (-11289600*li8half + 94080000*li7half*ln2 - 1881600*li6half*ln2^2 - 
    21560*ln2^8 - 26880000*ln2^2*s6 + 30912000*ln2*s7a + 10214400*ln2*s7b - 
    17814825*s8a - 73886400*s8b - 27820800*s8c + 22176000*s8d - 
    5644800*li4half*ln2^2*z2 - 619360*ln2^6*z2 - 41529600*s6*z2 + 
    3588480*li4half*z2^2 + 6119680*ln2^4*z2^2 + 16994880*ln2^2*z2^3 - 
    19809288*z2^4 - 44352000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    581280*ln2^5*z3 - 13574400*ln2^3*z2*z3 - 10462200*ln2*z2^2*z3 + 
    42140700*ln2^2*z3^2 + 19233900*z2*z3^2 + 20050800*ln2^3*z5 + 
    54104400*ln2*z2*z5 + 82128375*z3*z5 + 106746150*ln2*z7)/3763200, 
 H[-1, -1, 0, 1, -1, 0, 1, 1, 1] -> (-7526400*li4half^2 + 451584000*li8half + 
    240844800*li7half*ln2 + 45158400*li6half*ln2^2 - 1881600*li4half*ln2^4 - 
    39200*ln2^8 - 59068800*ln2^2*s6 + 49728000*ln2*s7a - 57523200*ln2*s7b + 
    116636625*s8a + 796555200*s8b + 63840000*s8c + 82924800*s8d - 
    90316800*li6half*z2 - 30105600*li5half*ln2*z2 - 
    3763200*li4half*ln2^2*z2 + 31360*ln2^6*z2 - 288153600*s6*z2 + 
    15832320*li4half*z2^2 + 1443680*ln2^4*z2^2 + 12119520*ln2^2*z2^3 - 
    24306048*z2^4 - 94348800*li5half*z3 + 15052800*li4half*ln2*z3 + 
    1413440*ln2^5*z3 - 11272800*ln2^3*z2*z3 - 59083080*ln2*z2^2*z3 + 
    44906400*ln2^2*z3^2 - 59243100*z2*z3^2 + 103899600*ln2^3*z5 + 
    23641800*ln2*z2*z5 + 15349425*z3*z5 - 527566200*ln2*z7)/3763200, 
 H[-1, -1, 0, 1, -1, 0, 1, 0, 1] -> (-22848000*ln2^2*s6 - 20832000*ln2*s7a - 
    20832000*ln2*s7b + 53937450*s8a + 203616000*s8b + 68544000*s8c - 
    12096000*s8d + 56448000*li6half*z2 + 78400*ln2^6*z2 + 26544000*s6*z2 + 
    7929600*li4half*z2^2 - 845600*ln2^4*z2^2 + 392000*ln2^2*z2^3 + 
    4868832*z2^4 - 69888000*li5half*z3 - 44688000*li4half*ln2*z3 - 
    1279600*ln2^5*z3 + 10640000*ln2^3*z2*z3 - 39629100*ln2*z2^2*z3 - 
    30387000*ln2^2*z3^2 - 69948375*z2*z3^2 - 157778250*ln2*z2*z5 + 
    115985625*z3*z5 - 93901500*ln2*z7)/4704000, 
 H[-1, -1, 0, 1, -1, 0, 1, -1, 1] -> 
  (16128000*li4half^2 - 2257920000*li8half - 516096000*li7half*ln2 - 
    96768000*li6half*ln2^2 - 21504000*li5half*ln2^3 + 4032000*li4half*ln2^4 + 
    231200*ln2^8 + 305424000*ln2^2*s6 - 100800000*ln2*s7a + 
    64512000*ln2*s7b - 759674475*s8a - 4826808000*s8b - 514080000*s8c - 
    433440000*s8d + 100800000*li5half*ln2*z2 + 48384000*li4half*ln2^2*z2 + 
    145600*ln2^6*z2 + 1340640000*s6*z2 - 90720000*li4half*z2^2 + 
    6736800*ln2^4*z2^2 - 41536800*ln2^2*z2^3 + 141186744*z2^4 + 
    810432000*li5half*z3 - 52416000*li4half*ln2*z3 - 8937600*ln2^5*z3 + 
    90468000*ln2^3*z2*z3 + 587827800*ln2*z2^2*z3 - 28728000*ln2^2*z3^2 + 
    566212500*z2*z3^2 - 129549000*ln2^3*z5 + 1218357000*ln2*z2*z5 - 
    533586375*z3*z5 + 895356000*ln2*z7)/8064000, 
 H[-1, -1, 0, 1, -1, 0, 0, 1, 1] -> 
  (-112896000*li4half^2 - 9408000*li4half*ln2^4 - 196000*ln2^8 - 
    146160000*ln2^2*s6 + 78624000*ln2*s7a - 118944000*ln2*s7b + 
    424471950*s8a + 2149056000*s8b + 332640000*s8c + 231840000*s8d + 
    677376000*li6half*z2 + 940800*ln2^6*z2 - 364896000*s6*z2 + 
    105638400*li4half*z2^2 - 2654400*ln2^4*z2^2 - 7106400*ln2^2*z2^3 - 
    99161928*z2^4 - 379008000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    2570400*ln2^5*z3 - 43932000*ln2^3*z2*z3 - 295684200*ln2*z2^2*z3 + 
    17325000*ln2^2*z3^2 - 514300500*z2*z3^2 + 145824000*ln2^3*z5 - 
    802431000*ln2*z2*z5 + 830521125*z3*z5 - 390852000*ln2*z7)/28224000, 
 H[-1, -1, 0, 1, -1, 0, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    114912000*ln2^2*s6 + 16128000*ln2*s7a + 16128000*ln2*s7b - 
    258314175*s8a - 1238832000*s8b - 205632000*s8c - 133056000*s8d - 
    28224000*li4half*ln2^2*z2 - 1176000*ln2^6*z2 + 470736000*s6*z2 - 
    88704000*li4half*z2^2 - 168000*ln2^4*z2^2 - 60396000*ln2^2*z2^3 + 
    39359892*z2^4 + 266112000*li5half*z3 + 56448000*li4half*ln2*z3 + 
    134400*ln2^5*z3 + 8064000*ln2^3*z2*z3 + 180154800*ln2*z2^2*z3 + 
    42462000*ln2^2*z3^2 + 210561750*z2*z3^2 + 531814500*ln2*z2*z5 - 
    559526625*z3*z5 - 114691500*ln2*z7)/14112000, 
 H[-1, -1, 0, 1, -1, 0, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    52584000*ln2^2*s6 + 5712000*ln2*s7a + 38640000*ln2*s7b - 119747775*s8a - 
    528696000*s8b - 93072000*s8c - 62160000*s8d + 56448000*li6half*z2 - 
    18816000*li4half*ln2^2*z2 - 705600*ln2^6*z2 + 234864000*s6*z2 - 
    37363200*li4half*z2^2 + 207200*ln2^4*z2^2 - 27241200*ln2^2*z2^3 + 
    13731846*z2^4 + 134904000*li5half*z3 + 68208000*li4half*ln2*z3 + 
    1717800*ln2^5*z3 - 3164000*ln2^3*z2*z3 + 64436400*ln2*z2^2*z3 + 
    15340500*ln2^2*z3^2 + 86323125*z2*z3^2 - 31899000*ln2^3*z5 + 
    151341750*ln2*z2*z5 - 286146000*z3*z5 + 79731750*ln2*z7)/4704000, 
 H[-1, -1, 0, 1, -1, 0, -1, 1, 1] -> 
  (-64512000*li4half^2 - 645120000*li8half - 774144000*li7half*ln2 - 
    96768000*li6half*ln2^2 + 21504000*li5half*ln2^3 - 5376000*li4half*ln2^4 - 
    288000*ln2^8 + 192240000*ln2^2*s6 - 163008000*ln2*s7a + 
    258336000*ln2*s7b - 209715975*s8a - 1375416000*s8b - 163296000*s8c - 
    98784000*s8d + 290304000*li6half*z2 - 36288000*li5half*ln2*z2 - 
    48384000*li4half*ln2^2*z2 - 280000*ln2^6*z2 + 485856000*s6*z2 + 
    15724800*li4half*z2^2 - 7509600*ln2^4*z2^2 - 72403200*ln2^2*z2^3 - 
    19858896*z2^4 + 220752000*li5half*z3 + 8064000*li4half*ln2*z3 - 
    1503600*ln2^5*z3 - 5544000*ln2^3*z2*z3 + 83795400*ln2*z2^2*z3 - 
    155817000*ln2^2*z3^2 + 97272000*z2*z3^2 - 434868000*ln2^3*z5 - 
    244719000*ln2*z2*z5 - 54203625*z3*z5 + 2074845375*ln2*z7)/8064000, 
 H[-1, -1, 0, 1, -1, 0, -1, 0, 1] -> 
  (225792000*li4half^2 + 18816000*li4half*ln2^4 + 392000*ln2^8 + 
    112896000*ln2^2*s6 - 20160000*ln2*s7a - 20160000*ln2*s7b - 
    295136100*s8a - 1137024000*s8b - 185472000*s8c - 153216000*s8d - 
    338688000*li6half*z2 - 56448000*li4half*ln2^2*z2 - 2822400*ln2^6*z2 + 
    348768000*s6*z2 - 177408000*li4half*z2^2 - 336000*ln2^4*z2^2 - 
    8400000*ln2^2*z2^3 + 141685344*z2^4 + 179424000*li5half*z3 + 
    155232000*li4half*ln2*z3 + 4972800*ln2^5*z3 + 18480000*ln2^3*z2*z3 + 
    137503800*ln2*z2^2*z3 + 58212000*ln2^2*z3^2 + 303266250*z2*z3^2 + 
    558967500*ln2*z2*z5 - 732792375*z3*z5 - 544264875*ln2*z7)/28224000, 
 H[-1, -1, 0, 1, -1, 0, -1, -1, 1] -> 
  (141120000*li4half^2 + 4515840000*li8half + 1806336000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 11760000*li4half*ln2^4 + 312200*ln2^8 - 
    775824000*ln2^2*s6 + 404544000*ln2*s7a - 428064000*ln2*s7b + 
    1479096675*s8a + 9615816000*s8b + 1005984000*s8c + 828576000*s8d - 
    47040000*li4half*ln2^2*z2 - 2273600*ln2^6*z2 - 2574432000*s6*z2 + 
    57052800*li4half*z2^2 + 5317200*ln2^4*z2^2 + 141892800*ln2^2*z2^3 - 
    218733192*z2^4 - 1650096000*li5half*z3 + 225792000*li4half*ln2*z3 + 
    23158800*ln2^5*z3 - 155148000*ln2^3*z2*z3 - 1118161800*ln2*z2^2*z3 + 
    337386000*ln2^2*z3^2 - 1103098500*z2*z3^2 + 806589000*ln2^3*z5 - 
    1734495000*ln2*z2*z5 + 903585375*z3*z5 - 4300797375*ln2*z7)/18816000, 
 H[-1, -1, 0, 1, -1, -1, 1, 1, 1] -> 
  (-564480000*li8half + 451584000*li7half*ln2 + 28224000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 - 299600*ln2^8 - 90720000*ln2^2*s6 + 
    38304000*ln2*s7a - 32256000*ln2*s7b + 139644225*s8a + 359352000*s8b + 
    6048000*s8c + 177408000*s8d - 254016000*li6half*z2 - 
    169344000*li5half*ln2*z2 + 1568000*ln2^6*z2 - 552384000*s6*z2 + 
    35481600*li4half*z2^2 + 8887200*ln2^4*z2^2 + 126604800*ln2^2*z2^3 - 
    11288664*z2^4 - 37296000*li5half*z3 + 310800*ln2^5*z3 - 
    8400000*ln2^3*z2*z3 - 8001000*ln2*z2^2*z3 + 62464500*ln2^2*z3^2 - 
    10048500*z2*z3^2 + 13671000*ln2^3*z5 + 406917000*ln2*z2*z5 + 
    418721625*z3*z5 - 715349250*ln2*z7)/56448000, 
 H[-1, -1, 0, 1, -1, -1, 1, 0, 1] -> 
  (100800000*ln2^2*s6 - 43008000*ln2*s7a + 8736000*ln2*s7b - 190607025*s8a - 
    964488000*s8b - 115584000*s8c - 138432000*s8d + 42336000*li6half*z2 + 
    32928000*li5half*ln2*z2 + 9408000*li4half*ln2^2*z2 + 176400*ln2^6*z2 + 
    421512000*s6*z2 - 26275200*li4half*z2^2 + 179200*ln2^4*z2^2 - 
    47258400*ln2^2*z2^3 + 19357356*z2^4 + 219240000*li5half*z3 - 
    11760000*li4half*ln2*z3 - 2317000*ln2^5*z3 + 32676000*ln2^3*z2*z3 + 
    150784200*ln2*z2^2*z3 - 31295250*ln2^2*z3^2 + 130935000*z2*z3^2 - 
    50127000*ln2^3*z5 + 262363500*ln2*z2*z5 - 394385250*z3*z5 + 
    2730000*ln2*z7)/9408000, H[-1, -1, 0, 1, -1, -1, 1, -1, 1] -> 
  (-282240000*li8half - 225792000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 + 155400*ln2^8 + 132720000*ln2^2*s6 - 
    72576000*ln2*s7a - 58464000*ln2*s7b - 204417675*s8a - 1251432000*s8b - 
    110880000*s8c - 171360000*s8d + 56448000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 744800*ln2^6*z2 + 483840000*s6*z2 - 
    30038400*li4half*z2^2 - 7778400*ln2^4*z2^2 - 74390400*ln2^2*z2^3 + 
    42763032*z2^4 + 314496000*li5half*z3 - 35280000*li4half*ln2*z3 - 
    4090800*ln2^5*z3 + 72072000*ln2^3*z2*z3 + 220613400*ln2*z2^2*z3 - 
    56826000*ln2^2*z3^2 + 141592500*z2*z3^2 + 22785000*ln2^3*z5 + 
    394569000*ln2*z2*z5 - 378196875*z3*z5 - 81939375*ln2*z7)/18816000, 
 H[-1, -1, 0, 1, -1, -1, 0, 1, 1] -> 
  (4515840000*li8half + 1354752000*li7half*ln2 - 37632000*li5half*ln2^3 + 
    156800*ln2^8 - 1081080000*ln2^2*s6 + 425376000*ln2*s7a - 
    520128000*ln2*s7b + 2080749825*s8a + 12530952000*s8b + 1487808000*s8c + 
    1165248000*s8d - 84672000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    509600*ln2^6*z2 - 3681720000*s6*z2 + 233049600*li4half*z2^2 + 
    11768400*ln2^4*z2^2 + 238686000*ln2^2*z2^3 - 279147528*z2^4 - 
    2284632000*li5half*z3 + 19038600*ln2^5*z3 - 203616000*ln2^3*z2*z3 - 
    1520605800*ln2*z2^2*z3 + 282255750*ln2^2*z3^2 - 1607130000*z2*z3^2 + 
    927349500*ln2^3*z5 - 3039183000*ln2*z2*z5 + 2243304000*z3*z5 - 
    3611049750*ln2*z7)/28224000, H[-1, -1, 0, 1, -1, -1, 0, 0, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    16992000*ln2^2*s6 + 16992000*ln2*s7a - 3168000*ln2*s7b + 19889100*s8a + 
    91728000*s8b + 10080000*s8c + 14112000*s8d - 8064000*li5half*ln2*z2 - 
    8064000*li4half*ln2^2*z2 - 268800*ln2^6*z2 - 29736000*s6*z2 - 
    3830400*li4half*z2^2 + 2948400*ln2^4*z2^2 + 2478000*ln2^2*z2^3 + 
    345756*z2^4 - 29232000*li5half*z3 + 13104000*li4half*ln2*z3 + 
    789600*ln2^5*z3 - 8736000*ln2^3*z2*z3 - 21340800*ln2*z2^2*z3 + 
    16483500*ln2^2*z3^2 - 16395750*z2*z3^2 + 19530000*ln2^3*z5 - 
    17185500*ln2*z2*z5 + 45903375*z3*z5 - 21465000*ln2*z7)/4032000, 
 H[-1, -1, 0, 1, -1, -1, 0, -1, 1] -> 
  (84672000*li4half^2 - 4515840000*li8half - 903168000*li7half*ln2 + 
    7056000*li4half*ln2^4 + 214200*ln2^8 + 850752000*ln2^2*s6 - 
    119616000*ln2*s7a + 435456000*ln2*s7b - 2009391825*s8a - 
    11716152000*s8b - 1466976000*s8c - 1016736000*s8d + 84672000*li6half*z2 - 
    9408000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 3959200*ln2^6*z2 + 
    3345888000*s6*z2 - 275318400*li4half*z2^2 + 17850000*ln2^4*z2^2 - 
    159947200*ln2^2*z2^3 + 292749288*z2^4 + 2038176000*li5half*z3 + 
    197568000*li4half*ln2*z3 - 8752800*ln2^5*z3 + 79884000*ln2^3*z2*z3 + 
    1349178600*ln2*z2^2*z3 + 35679000*ln2^2*z3^2 + 1534249500*z2*z3^2 - 
    537726000*ln2^3*z5 + 3060036000*ln2*z2*z5 - 2000315625*z3*z5 + 
    2952048750*ln2*z7)/18816000, H[-1, -1, 0, 1, -1, -1, -1, 1, 1] -> 
  (-2822400*li4half^2 + 28224000*li8half - 45158400*li7half*ln2 - 
    25401600*li6half*ln2^2 - 940800*li5half*ln2^3 - 470400*li4half*ln2^4 - 
    32480*ln2^8 - 3124800*ln2^2*s6 - 9273600*ln2*s7a + 30240000*ln2*s7b + 
    11403000*s8a + 58262400*s8b + 3628800*s8c + 10483200*s8d + 
    42336000*li6half*z2 - 4233600*li4half*ln2^2*z2 - 168560*ln2^6*z2 - 
    10382400*s6*z2 + 3507840*li4half*z2^2 + 663600*ln2^4*z2^2 - 
    821520*ln2^2*z2^3 - 13524732*z2^4 - 20260800*li5half*z3 + 
    2116800*li4half*ln2*z3 + 257040*ln2^5*z3 - 9626400*ln2^3*z2*z3 - 
    22269240*ln2*z2^2*z3 - 8133300*ln2^2*z3^2 - 15709050*z2*z3^2 - 
    38734500*ln2^3*z5 - 100951200*ln2*z2*z5 + 40434975*z3*z5 + 
    244293525*ln2*z7)/5644800, H[-1, -1, 0, 1, -1, -1, -1, 0, 1] -> 
  (9408000*li4half^2 + 1505280000*li8half - 37632000*li6half*ln2^2 + 
    784000*li4half*ln2^4 + 1400*ln2^8 - 254688000*ln2^2*s6 + 
    22848000*ln2*s7a - 75936000*ln2*s7b + 665372925*s8a + 4062072000*s8b + 
    477792000*s8c + 368928000*s8d - 122304000*li6half*z2 - 
    47040000*li5half*ln2*z2 - 39200*ln2^6*z2 - 1175328000*s6*z2 + 
    67670400*li4half*z2^2 - 11919600*ln2^4*z2^2 + 42554400*ln2^2*z2^3 - 
    59048952*z2^4 - 726096000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    6344800*ln2^5*z3 - 48160000*ln2^3*z2*z3 - 506137800*ln2*z2^2*z3 - 
    25399500*ln2^2*z3^2 - 500640000*z2*z3^2 + 95697000*ln2^3*z5 - 
    1165920000*ln2*z2*z5 + 616263375*z3*z5 - 641773125*ln2*z7)/18816000, 
 H[-1, -1, 0, 1, -1, -1, -1, -1, 1] -> 
  (42336000*li4half^2 + 564480000*li8half + 338688000*li7half*ln2 + 
    98784000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 
    128100*ln2^8 - 50904000*ln2^2*s6 + 101808000*ln2*s7a - 32256000*ln2*s7b + 
    82791450*s8a + 993384000*s8b + 18144000*s8c + 87696000*s8d - 
    28224000*li4half*ln2^2*z2 - 842800*ln2^6*z2 - 228312000*s6*z2 - 
    16329600*li4half*z2^2 + 1995000*ln2^4*z2^2 + 8668800*ln2^2*z2^3 + 
    8038332*z2^4 - 175392000*li5half*z3 + 81144000*li4half*ln2*z3 + 
    4842600*ln2^5*z3 - 34902000*ln2^3*z2*z3 - 98645400*ln2*z2^2*z3 + 
    102989250*ln2^2*z3^2 - 38083500*z2*z3^2 + 109368000*ln2^3*z5 + 
    44509500*ln2*z2*z5 - 194339250*z3*z5 - 988714125*ln2*z7)/28224000, 
 H[-1, -1, 0, 0, 1, 1, 1, 1, 1] -> (4032000*li4half^2 - 20160000*li8half - 
    16128000*li7half*ln2 - 6048000*li6half*ln2^2 - 1344000*li5half*ln2^3 + 
    168000*li4half*ln2^4 + 5500*ln2^8 - 1512000*ln2^2*s6 + 2016000*ln2*s7b - 
    883575*s8a - 8064000*s8b - 1008000*s8d + 8064000*li6half*z2 + 
    6048000*li5half*ln2*z2 - 36400*ln2^6*z2 + 3528000*s6*z2 + 
    84000*ln2^4*z2^2 + 324000*ln2^2*z2^3 + 1019628*z2^4 - 
    9072000*li5half*z3 - 504000*li4half*ln2*z3 + 54600*ln2^5*z3 - 
    336000*ln2^3*z2*z3 - 1789200*ln2*z2^2*z3 - 378000*ln2^2*z3^2 + 
    756000*z2*z3^2 - 651000*ln2^3*z5 - 8914500*ln2*z2*z5 + 4181625*z3*z5 + 
    22097250*ln2*z7)/2016000, H[-1, -1, 0, 0, 1, 1, 1, 0, 1] -> 
  (-7728000*ln2^2*s6 + 9408000*ln2*s7a + 9408000*ln2*s7b + 2757825*s8a - 
    40488000*s8b - 3360000*s8c + 3360000*s8d - 28224000*li6half*z2 - 
    18816000*li5half*ln2*z2 - 4704000*li4half*ln2^2*z2 - 78400*ln2^6*z2 - 
    13776000*s6*z2 - 17673600*li4half*z2^2 - 540400*ln2^4*z2^2 + 
    3684800*ln2^2*z2^3 - 4370368*z2^4 + 47376000*li5half*z3 + 
    35280000*li4half*ln2*z3 + 1075200*ln2^5*z3 - 4872000*ln2^3*z2*z3 - 
    8925000*ln2*z2^2*z3 + 14658000*ln2^2*z3^2 - 4242000*z2*z3^2 - 
    8736000*ln2*z2*z5 + 40527375*z3*z5 + 124582500*ln2*z7)/9408000, 
 H[-1, -1, 0, 0, 1, 1, 1, -1, 1] -> (18144000*li4half^2 + 40320000*li8half + 
    32256000*li7half*ln2 + 12096000*li6half*ln2^2 + 4032000*li5half*ln2^3 + 
    1848000*li4half*ln2^4 + 23300*ln2^8 - 720000*ln2^2*s6 + 
    11808000*ln2*s7a + 17856000*ln2*s7b - 13760775*s8a - 87192000*s8b - 
    10080000*s8c - 12096000*s8d - 12096000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 380800*ln2^6*z2 + 35280000*s6*z2 - 
    18950400*li4half*z2^2 + 537600*ln2^4*z2^2 + 1044000*ln2^2*z2^3 - 
    1968624*z2^4 + 30240000*li5half*z3 + 47880000*li4half*ln2*z3 + 
    1743000*ln2^5*z3 - 12936000*ln2^3*z2*z3 - 10639800*ln2*z2^2*z3 + 
    14917500*ln2^2*z3^2 + 9355500*z2*z3^2 - 7812000*ln2^3*z5 - 
    16542000*ln2*z2*z5 - 29806875*z3*z5 + 132068250*ln2*z7)/4032000, 
 H[-1, -1, 0, 0, 1, 1, 0, 1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 + 
    5644800*ln2^2*s6 + 403200*ln2*s7a + 3225600*ln2*s7b - 10521000*s8a - 
    20865600*s8b - 12096000*s8c + 6451200*s8d - 16934400*li6half*z2 - 
    11289600*li5half*ln2*z2 + 70560*ln2^6*z2 - 12902400*s6*z2 + 
    7076160*li4half*z2^2 + 59640*ln2^4*z2^2 - 1318800*ln2^2*z2^3 - 
    1134108*z2^4 - 5846400*li5half*z3 - 6350400*li4half*ln2*z3 - 
    215880*ln2^5*z3 + 1100400*ln2^3*z2*z3 + 7973280*ln2*z2^2*z3 + 
    88200*ln2^2*z3^2 + 10880100*z2*z3^2 - 3645600*ln2^3*z5 + 
    33604200*ln2*z2*z5 - 4504500*z3*z5 + 8075025*ln2*z7)/2822400, 
 H[-1, -1, 0, 0, 1, 1, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 
    1512000*ln2^2*s6 - 4032000*ln2*s7a - 4032000*ln2*s7b + 2195550*s8a + 
    2016000*s8b + 5040000*s8c - 5040000*s8d + 1008000*li4half*ln2^2*z2 + 
    42000*ln2^6*z2 + 10080000*s6*z2 + 2419200*li4half*z2^2 - 
    25200*ln2^4*z2^2 - 1436400*ln2^2*z2^3 + 2338038*z2^4 + 
    7056000*li5half*z3 - 5040000*li4half*ln2*z3 - 268800*ln2^5*z3 + 
    1848000*ln2^3*z2*z3 + 3641400*ln2*z2^2*z3 - 4725000*ln2^2*z3^2 - 
    3213000*z2*z3^2 - 4000500*ln2*z2*z5 - 11253375*z3*z5 - 28877625*ln2*z7)/
   1008000, H[-1, -1, 0, 0, 1, 1, 0, -1, 1] -> 
  (-310464000*li4half^2 - 25872000*li4half*ln2^4 - 539000*ln2^8 + 
    119952000*ln2^2*s6 - 229824000*ln2*s7a - 258048000*ln2*s7b + 
    146035575*s8a + 512064000*s8b + 219744000*s8c - 135072000*s8d - 
    84672000*li6half*z2 - 56448000*li5half*ln2*z2 + 
    141120000*li4half*ln2^2*z2 + 6232800*ln2^6*z2 + 206640000*s6*z2 + 
    227001600*li4half*z2^2 - 9357600*ln2^4*z2^2 - 85621200*ln2^2*z2^3 + 
    85536432*z2^4 + 298368000*li5half*z3 - 529200000*li4half*ln2*z3 - 
    24536400*ln2^5*z3 + 157164000*ln2^3*z2*z3 + 279241200*ln2*z2^2*z3 - 
    321709500*ln2^2*z3^2 - 152460000*z2*z3^2 + 27342000*ln2^3*z5 + 
    134064000*ln2*z2*z5 - 419383125*z3*z5 - 2104058250*ln2*z7)/28224000, 
 H[-1, -1, 0, 0, 1, 1, -1, 1, 1] -> (26880000*li8half + 5376000*li7half*ln2 + 
    4032000*li6half*ln2^2 + 448000*li5half*ln2^3 + 224000*li4half*ln2^4 + 
    10800*ln2^8 - 7344000*ln2^2*s6 + 6336000*ln2*s7a + 2304000*ln2*s7b + 
    7538475*s8a + 69216000*s8b + 672000*s8c + 14112000*s8d - 
    5376000*li6half*z2 - 2016000*li4half*ln2^2*z2 - 190400*ln2^6*z2 - 
    35112000*s6*z2 + 2856000*li4half*z2^2 + 634200*ln2^4*z2^2 + 
    2937600*ln2^2*z2^3 - 4185264*z2^4 - 28560000*li5half*z3 + 
    2184000*li4half*ln2*z3 + 329000*ln2^5*z3 - 3122000*ln2^3*z2*z3 - 
    12460200*ln2*z2^2*z3 + 7678500*ln2^2*z3^2 - 3801000*z2*z3^2 + 
    3363500*ln2^3*z5 - 8658000*ln2*z2*z5 + 26591250*z3*z5 + 9379875*ln2*z7)/
   1344000, H[-1, -1, 0, 0, 1, 1, -1, 0, 1] -> 
  (2328000*ln2^2*s6 - 4512000*ln2*s7a - 1152000*ln2*s7b + 1463700*s8a + 
    1344000*s8b + 3360000*s8c - 3360000*s8d + 2016000*li6half*z2 + 
    1344000*li5half*ln2*z2 + 672000*li4half*ln2^2*z2 + 19600*ln2^6*z2 + 
    6384000*s6*z2 - 403200*li4half*z2^2 - 492800*ln2^4*z2^2 - 
    304000*ln2^2*z2^3 + 1422092*z2^4 + 6384000*li5half*z3 - 
    2688000*li4half*ln2*z3 - 165200*ln2^5*z3 + 1204000*ln2^3*z2*z3 + 
    2393400*ln2*z2^2*z3 - 4920750*ln2^2*z3^2 - 1858500*z2*z3^2 - 
    3255000*ln2^3*z5 - 8407500*ln2*z2*z5 - 8449875*z3*z5 - 10776000*ln2*z7)/
   672000, H[-1, -1, 0, 0, 1, 1, -1, -1, 1] -> 
  (-254016000*li4half^2 + 564480000*li8half - 112896000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 25872000*li4half*ln2^4 - 718200*ln2^8 + 
    7056000*ln2^2*s6 - 205632000*ln2*s7a - 163296000*ln2*s7b + 
    409553550*s8a + 2174256000*s8b + 354816000*s8c + 96768000*s8d + 
    169344000*li4half*ln2^2*z2 + 9133600*ln2^6*z2 - 419328000*s6*z2 + 
    222566400*li4half*z2^2 - 24007200*ln2^4*z2^2 - 42084000*ln2^2*z2^3 - 
    4842792*z2^4 - 193536000*li5half*z3 - 486864000*li4half*ln2*z3 - 
    18673200*ln2^5*z3 + 111468000*ln2^3*z2*z3 - 26636400*ln2*z2^2*z3 - 
    310684500*ln2^2*z3^2 - 342625500*z2*z3^2 - 41013000*ln2^3*z5 - 
    586089000*ln2*z2*z5 + 156570750*z3*z5 - 1308045375*ln2*z7)/28224000, 
 H[-1, -1, 0, 0, 1, 0, 1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    137088000*ln2^2*s6 - 161280000*ln2*s7a + 8064000*ln2*s7b - 
    137524275*s8a - 1256472000*s8b - 22176000*s8c - 245952000*s8d + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 + 710640000*s6*z2 - 
    42134400*li4half*z2^2 - 3519600*ln2^4*z2^2 - 54768000*ln2^2*z2^3 + 
    27927576*z2^4 + 604800000*li5half*z3 + 7056000*li4half*ln2*z3 - 
    4746000*ln2^5*z3 + 48636000*ln2^3*z2*z3 + 200025000*ln2*z2^2*z3 - 
    129024000*ln2^2*z3^2 - 10930500*z2*z3^2 - 173166000*ln2^3*z5 - 
    30807000*ln2*z2*z5 - 358761375*z3*z5 + 159516000*ln2*z7)/28224000, 
 H[-1, -1, 0, 0, 1, 0, 1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    18144000*ln2^2*s6 + 56448000*ln2*s7a + 56448000*ln2*s7b - 26285175*s8a + 
    95760000*s8b - 76608000*s8c + 76608000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 170856000*s6*z2 - 20664000*li4half*z2^2 + 
    2667000*ln2^4*z2^2 + 25023600*ln2^2*z2^3 - 15740688*z2^4 - 
    266112000*li5half*z3 + 42336000*li4half*ln2*z3 + 3981600*ln2^5*z3 - 
    32760000*ln2^3*z2*z3 - 76482000*ln2*z2^2*z3 + 68544000*ln2^2*z3^2 + 
    78072750*z2*z3^2 + 89145000*ln2*z2*z5 + 121448250*z3*z5 + 
    209419875*ln2*z7)/14112000, H[-1, -1, 0, 0, 1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    147168000*ln2^2*s6 + 80640000*ln2*s7a - 88704000*ln2*s7b + 
    294589575*s8a + 2112768000*s8b + 90720000*s8c + 403200000*s8d + 
    169344000*li5half*ln2*z2 + 141120000*li4half*ln2^2*z2 + 
    4468800*ln2^6*z2 - 1053360000*s6*z2 + 137088000*li4half*z2^2 - 
    11928000*ln2^4*z2^2 + 88309200*ln2^2*z2^3 - 80317008*z2^4 - 
    919296000*li5half*z3 - 232848000*li4half*ln2*z3 - 2041200*ln2^5*z3 + 
    45108000*ln2^3*z2*z3 - 274453200*ln2*z2^2*z3 + 89145000*ln2^2*z3^2 - 
    159988500*z2*z3^2 + 141267000*ln2^3*z5 - 41139000*ln2*z2*z5 + 
    1007346375*z3*z5 - 886126500*ln2*z7)/28224000, 
 H[-1, -1, 0, 0, 1, 0, 0, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    38808000*ln2^2*s6 + 18144000*ln2*s7a - 24192000*ln2*s7b + 60131925*s8a + 
    384048000*s8b + 41328000*s8c + 43344000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 - 167832000*s6*z2 + 17136000*li4half*z2^2 - 
    168000*ln2^4*z2^2 + 6980400*ln2^2*z2^3 - 842592*z2^4 - 
    58464000*li5half*z3 - 10584000*li4half*ln2*z3 + 46200*ln2^5*z3 - 
    2226000*ln2^3*z2*z3 - 34530300*ln2*z2^2*z3 + 13230000*ln2^2*z3^2 - 
    23499000*z2*z3^2 + 54684000*ln2^3*z5 - 14994000*ln2*z2*z5 + 
    29704500*z3*z5 - 161138250*ln2*z7)/7056000, 
 H[-1, -1, 0, 0, 1, 0, 0, 0, 1] -> 
  (-99225*s8a - 3528000*s8b - 235200*li4half*z2^2 - 9800*ln2^4*z2^2 - 
    325200*ln2^2*z2^3 - 711096*z2^4 - 117600*ln2*z2^2*z3 - 173250*z2*z3^2 + 
    945000*ln2*z2*z5 + 3882375*z3*z5 + 5956125*ln2*z7)/336000, 
 H[-1, -1, 0, 0, 1, 0, 0, -1, 1] -> (36288000*ln2^2*s6 - 12096000*ln2*s7a + 
    16128000*ln2*s7b - 66776325*s8a - 391104000*s8b - 48384000*s8c - 
    36288000*s8d + 109032000*s6*z2 - 8433600*li4half*z2^2 - 
    351400*ln2^4*z2^2 - 14481600*ln2^2*z2^3 - 10111372*z2^4 + 
    86688000*li5half*z3 + 7056000*li4half*ln2*z3 - 428400*ln2^5*z3 + 
    5460000*ln2^3*z2*z3 + 49975800*ln2*z2^2*z3 - 5890500*ln2^2*z3^2 + 
    53597250*z2*z3^2 - 27342000*ln2^3*z5 + 109095000*ln2*z2*z5 - 
    90029625*z3*z5 + 205437750*ln2*z7)/4704000, 
 H[-1, -1, 0, 0, 1, 0, -1, 1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    8064000*ln2^2*s6 - 28224000*ln2*s7a - 134064000*ln2*s7b + 118769175*s8a + 
    530208000*s8b + 164304000*s8c - 51408000*s8d - 84672000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 1293600*ln2^6*z2 - 6552000*s6*z2 + 
    29232000*li4half*z2^2 - 5838000*ln2^4*z2^2 - 41613600*ln2^2*z2^3 + 
    55545228*z2^4 + 194544000*li5half*z3 - 63504000*li4half*ln2*z3 - 
    4267200*ln2^5*z3 + 37380000*ln2^3*z2*z3 + 52894800*ln2*z2^2*z3 - 
    85176000*ln2^2*z3^2 - 98091000*z2*z3^2 + 113925000*ln2^3*z5 - 
    44194500*ln2*z2*z5 - 266348250*z3*z5 - 807581250*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, 1, 0, -1, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    46368000*ln2^2*s6 + 56448000*ln2*s7a + 56448000*ln2*s7b + 16271325*s8a - 
    122976000*s8b - 20160000*s8c + 20160000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 22680000*s6*z2 - 34776000*li4half*z2^2 + 
    2079000*ln2^4*z2^2 + 18950400*ln2^2*z2^3 - 36895668*z2^4 - 
    124992000*li5half*z3 + 56448000*li4half*ln2*z3 + 3393600*ln2^5*z3 - 
    24528000*ln2^3*z2*z3 - 71013600*ln2*z2^2*z3 + 42966000*ln2^2*z3^2 - 
    19167750*z2*z3^2 - 75789000*ln2*z2*z5 + 330316875*z3*z5 + 
    508197375*ln2*z7)/14112000, H[-1, -1, 0, 0, 1, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    49392000*ln2^2*s6 - 29568000*ln2*s7a + 40992000*ln2*s7b - 104252925*s8a - 
    666624000*s8b - 63168000*s8c - 77952000*s8d - 14112000*li4half*ln2^2*z2 - 
    588000*ln2^6*z2 + 226464000*s6*z2 - 38169600*li4half*z2^2 + 
    173600*ln2^4*z2^2 - 12821200*ln2^2*z2^3 - 4785708*z2^4 + 
    160608000*li5half*z3 + 51744000*li4half*ln2*z3 + 817600*ln2^5*z3 + 
    448000*ln2^3*z2*z3 + 62827800*ln2*z2^2*z3 - 15214500*ln2^2*z3^2 + 
    75232500*z2*z3^2 - 68355000*ln2^3*z5 + 66885000*ln2*z2*z5 - 
    156883125*z3*z5 + 423528000*ln2*z7)/9408000, 
 H[-1, -1, 0, 0, 1, -1, 1, 1, 1] -> 
  (112896000*li8half + 790272000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 4704000*li4half*ln2^4 - 36400*ln2^8 - 
    11088000*ln2^2*s6 - 149184000*ln2*s7a - 276192000*ln2*s7b + 
    298386900*s8a + 788256000*s8b + 334656000*s8c - 94752000*s8d - 
    225792000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 6585600*ln2^6*z2 + 13104000*s6*z2 - 
    604800*li4half*z2^2 - 14960400*ln2^4*z2^2 + 50702400*ln2^2*z2^3 + 
    41976864*z2^4 + 401184000*li5half*z3 - 119952000*li4half*ln2*z3 - 
    7518000*ln2^5*z3 + 60480000*ln2^3*z2*z3 + 64814400*ln2*z2^2*z3 - 
    126378000*ln2^2*z3^2 - 370503000*z2*z3^2 + 100254000*ln2^3*z5 - 
    243369000*ln2*z2*z5 + 308999250*z3*z5 - 1899646875*ln2*z7)/56448000, 
 H[-1, -1, 0, 0, 1, -1, 1, 0, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 3225600*ln2^2*s6 + 
    16329600*ln2*s7a - 11894400*ln2*s7b - 12880350*s8a - 62496000*s8b - 
    12096000*s8c - 4838400*s8d + 2822400*li6half*z2 + 
    5644800*li5half*ln2*z2 - 1411200*li4half*ln2^2*z2 - 101920*ln2^6*z2 + 
    22024800*s6*z2 - 5906880*li4half*z2^2 + 3340680*ln2^4*z2^2 - 
    4411680*ln2^2*z2^3 + 1691274*z2^4 - 1612800*li5half*z3 + 
    9172800*li4half*ln2*z3 + 395640*ln2^5*z3 - 2016000*ln2^3*z2*z3 + 
    6851880*ln2*z2^2*z3 + 18585000*ln2^2*z3^2 + 13393800*z2*z3^2 + 
    27342000*ln2^3*z5 + 72198000*ln2*z2*z5 - 21505050*z3*z5 - 
    79822575*ln2*z7)/2822400, H[-1, -1, 0, 0, 1, -1, 1, -1, 1] -> 
  (8064000*li4half^2 - 5376000*li8half - 37632000*li7half*ln2 - 
    2688000*li6half*ln2^2 - 1792000*li5half*ln2^3 + 448000*li4half*ln2^4 + 
    23200*ln2^8 + 1296000*ln2^2*s6 + 1728000*ln2*s7a + 1056000*ln2*s7b - 
    1544550*s8a - 9072000*s8b - 4704000*s8d + 5376000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 - 403200*ln2^6*z2 + 11760000*s6*z2 - 
    7392000*li4half*z2^2 + 162400*ln2^4*z2^2 - 2512800*ln2^2*z2^3 + 
    5210952*z2^4 + 6720000*li5half*z3 + 14784000*li4half*ln2*z3 + 
    520800*ln2^5*z3 - 1064000*ln2^3*z2*z3 - 2790000*ln2*z2^2*z3 + 
    1824000*ln2^2*z3^2 + 1638000*z2*z3^2 - 217000*ln2^3*z5 - 
    477000*ln2*z2*z5 - 18453750*z3*z5 + 2175375*ln2*z7)/2688000, 
 H[-1, -1, 0, 0, 1, -1, 0, 1, 1] -> (56952000*ln2^2*s6 + 33264000*ln2*s7a + 
    75600000*ln2*s7b - 252962325*s8a - 1018080000*s8b - 222768000*s8c - 
    59472000*s8d + 28224000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 + 235368000*s6*z2 - 
    14011200*li4half*z2^2 + 7060200*ln2^4*z2^2 - 29618400*ln2^2*z2^3 - 
    10540692*z2^4 + 83664000*li5half*z3 + 17640000*li4half*ln2*z3 + 
    37800*ln2^5*z3 + 6678000*ln2^3*z2*z3 + 127108800*ln2*z2^2*z3 + 
    52841250*ln2^2*z3^2 + 254724750*z2*z3^2 - 18228000*ln2^3*z5 + 
    478863000*ln2*z2*z5 - 436180500*z3*z5 + 304652250*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, 1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    173376000*ln2^2*s6 - 14112000*ln2*s7a - 14112000*ln2*s7b + 
    385928550*s8a + 1902096000*s8b + 290304000*s8c + 217728000*s8d + 
    14112000*li4half*ln2^2*z2 + 588000*ln2^6*z2 - 724752000*s6*z2 + 
    64713600*li4half*z2^2 + 932400*ln2^4*z2^2 + 95356800*ln2^2*z2^3 - 
    39783672*z2^4 - 393120000*li5half*z3 - 28224000*li4half*ln2*z3 + 
    2100000*ln2^5*z3 - 25704000*ln2^3*z2*z3 - 299980800*ln2*z2^2*z3 - 
    35311500*ln2^2*z3^2 - 313866000*z2*z3^2 - 798808500*ln2*z2*z5 + 
    812881125*z3*z5 + 150050250*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, 1, -1, 0, -1, 1] -> 
  (-127008000*li4half^2 - 10584000*li4half*ln2^4 - 220500*ln2^8 - 
    98784000*ln2^2*s6 - 17136000*ln2*s7a - 59472000*ln2*s7b + 261294075*s8a + 
    1334844000*s8b + 161280000*s8c + 219744000*s8d + 14112000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 3312400*ln2^6*z2 - 
    638820000*s6*z2 + 145555200*li4half*z2^2 - 5107200*ln2^4*z2^2 + 
    46603200*ln2^2*z2^3 - 86459508*z2^4 - 453600000*li5half*z3 - 
    243432000*li4half*ln2*z3 - 6363000*ln2^5*z3 + 25116000*ln2^3*z2*z3 - 
    153644400*ln2*z2^2*z3 - 36823500*ln2^2*z3^2 - 190638000*z2*z3^2 + 
    41013000*ln2^3*z5 - 290839500*ln2*z2*z5 + 783538875*z3*z5 - 
    22113000*ln2*z7)/14112000, H[-1, -1, 0, 0, 1, -1, -1, 1, 1] -> 
  (-17203200*li8half + 3225600*li7half*ln2 - 537600*li6half*ln2^2 - 
    716800*li5half*ln2^3 + 4160*ln2^8 + 2697600*ln2^2*s6 + 998400*ln2*s7a - 
    2361600*ln2*s7b - 9905700*s8a - 50803200*s8b - 6182400*s8c - 
    5644800*s8d - 1075200*li6half*z2 + 537600*li4half*ln2^2*z2 - 
    2240*ln2^6*z2 + 15456000*s6*z2 - 1048320*li4half*z2^2 + 
    136640*ln2^4*z2^2 - 1280160*ln2^2*z2^3 + 2440272*z2^4 + 
    11827200*li5half*z3 - 672000*li4half*ln2*z3 - 134400*ln2^5*z3 + 
    1887200*ln2^3*z2*z3 + 9159600*ln2*z2^2*z3 + 903600*ln2^2*z3^2 + 
    8778000*z2*z3^2 + 4209800*ln2^3*z5 + 25589400*ln2*z2*z5 - 
    20273400*z3*z5 - 19216425*ln2*z7)/537600, 
 H[-1, -1, 0, 0, 1, -1, -1, 0, 1] -> 
  (-26208000*ln2^2*s6 - 24192000*ln2*s7a + 46368000*ln2*s7b + 96344325*s8a + 
    223272000*s8b + 65520000*s8c + 19152000*s8d - 14112000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 215600*ln2^6*z2 - 89460000*s6*z2 + 
    3830400*li4half*z2^2 - 9836400*ln2^4*z2^2 + 23633400*ln2^2*z2^3 - 
    25971018*z2^4 - 31248000*li5half*z3 + 260400*ln2^5*z3 - 
    4662000*ln2^3*z2*z3 - 65305800*ln2*z2^2*z3 - 43092000*ln2^2*z3^2 - 
    94232250*z2*z3^2 - 68355000*ln2^3*z5 - 301234500*ln2*z2*z5 + 
    296037000*z3*z5 + 435810375*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, 1, -1, -1, -1, 1] -> 
  (-254016000*li4half^2 - 451584000*li8half - 338688000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 56448000*li5half*ln2^3 - 
    21168000*li4half*ln2^4 - 777000*ln2^8 + 224784000*ln2^2*s6 - 
    350784000*ln2*s7a + 86688000*ln2*s7b - 1231650*s8a - 763056000*s8b + 
    40320000*s8c - 12096000*s8d + 169344000*li4half*ln2^2*z2 + 
    9486400*ln2^6*z2 + 10080000*s6*z2 + 200793600*li4half*z2^2 - 
    30912000*ln2^4*z2^2 - 24444000*ln2^2*z2^3 - 119677464*z2^4 + 
    24192000*li5half*z3 - 486864000*li4half*ln2*z3 - 19664400*ln2^5*z3 + 
    117264000*ln2^3*z2*z3 + 139154400*ln2*z2^2*z3 - 374913000*ln2^2*z3^2 - 
    29799000*z2*z3^2 - 451143000*ln2^3*z5 - 389277000*ln2*z2*z5 + 
    637890750*z3*z5 + 1809336375*ln2*z7)/56448000, 
 H[-1, -1, 0, 0, 0, 1, 1, 1, 1] -> (-1008000*ln2^2*s6 + 1008000*ln2*s7a + 
    877275*s8a + 9408000*s8b + 2016000*s8d - 5544000*s6*z2 - 
    134400*li4half*z2^2 - 5600*ln2^4*z2^2 + 547200*ln2^2*z2^3 - 142116*z2^4 - 
    4032000*li5half*z3 + 33600*ln2^5*z3 - 336000*ln2^3*z2*z3 - 
    1512000*ln2*z2^2*z3 + 924000*ln2^2*z3^2 + 42000*z2*z3^2 + 
    1302000*ln2^3*z5 + 31500*ln2*z2*z5 + 3008250*z3*z5 - 1407000*ln2*z7)/
   672000, H[-1, -1, 0, 0, 0, 1, 1, 0, 1] -> 
  (-2688000*ln2^2*s6 + 2406075*s8a - 4368000*s8b + 5376000*s8c - 
    5376000*s8d + 10752000*s6*z2 + 3628800*li4half*z2^2 + 151200*ln2^4*z2^2 - 
    1937600*ln2^2*z2^3 + 374632*z2^4 + 10752000*li5half*z3 - 89600*ln2^5*z3 + 
    896000*ln2^3*z2*z3 + 2402400*ln2*z2^2*z3 - 2520000*ln2^2*z3^2 - 
    4032000*z2*z3^2 - 13996500*ln2*z2*z5 - 8263500*z3*z5 + 10804500*ln2*z7)/
   4704000, H[-1, -1, 0, 0, 0, 1, 1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    36288000*ln2^2*s6 + 35280000*ln2*s7a + 7218225*s8a - 13104000*s8b + 
    16128000*s8c - 16128000*s8d - 42336000*li4half*ln2^2*z2 - 
    1764000*ln2^6*z2 + 32256000*s6*z2 - 24393600*li4half*z2^2 + 
    10449600*ln2^4*z2^2 + 9802800*ln2^2*z2^3 + 9922896*z2^4 + 
    32256000*li5half*z3 + 56448000*li4half*ln2*z3 + 2083200*ln2^5*z3 - 
    32592000*ln2^3*z2*z3 - 18635400*ln2*z2^2*z3 + 33894000*ln2^2*z3^2 - 
    10442250*z2*z3^2 + 34177500*ln2^3*z5 - 47281500*ln2*z2*z5 - 
    23191875*z3*z5 + 44430750*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, 0, 1, 0, 1, 1] -> (860160*ln2^2*s6 - 752640*ln2*s7a - 
    782145*s8a - 7069440*s8b - 215040*s8c - 1290240*s8d + 3709440*s6*z2 - 
    370944*li4half*z2^2 - 15456*ln2^4*z2^2 - 231616*ln2^2*z2^3 + 
    158860*z2^4 + 2580480*li5half*z3 - 21504*ln2^5*z3 + 215040*ln2^3*z2*z3 + 
    971712*ln2*z2^2*z3 - 651840*ln2^2*z3^2 + 161280*z2*z3^2 - 
    972160*ln2^3*z5 + 274680*ln2*z2*z5 - 1668660*z3*z5 + 782775*ln2*z7)/
   188160, H[-1, -1, 0, 0, 0, 1, 0, 0, 1] -> 
  (155925*s8a + 2352000*s8b - 806400*li4half*z2^2 - 33600*ln2^4*z2^2 + 
    585600*ln2^2*z2^3 + 705118*z2^4 - 403200*ln2*z2^2*z3 + 126000*z2*z3^2 - 
    630000*ln2*z2*z5 - 1732500*z3*z5 - 5620125*ln2*z7)/336000, 
 H[-1, -1, 0, 0, 0, 1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    94752000*ln2^2*s6 + 56448000*ln2*s7a + 120659175*s8a + 715680000*s8b + 
    76608000*s8c + 92736000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 270144000*s6*z2 - 31550400*li4half*z2^2 + 
    2213400*ln2^4*z2^2 + 47258400*ln2^2*z2^3 + 7697688*z2^4 - 
    185472000*li5half*z3 + 98784000*li4half*ln2*z3 + 5661600*ln2^5*z3 - 
    40152000*ln2^3*z2*z3 - 149486400*ln2*z2^2*z3 + 65079000*ln2^2*z3^2 - 
    90090000*z2*z3^2 + 54684000*ln2^3*z5 - 241069500*ln2*z2*z5 + 
    244526625*z3*z5 - 58708125*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, 0, 1, -1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    14280000*ln2^2*s6 - 12768000*ln2*s7a + 13104000*ln2*s7b + 8240400*s8a + 
    32592000*s8b - 3024000*s8c + 14784000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 - 35448000*s6*z2 - 5275200*li4half*z2^2 - 
    4629800*ln2^4*z2^2 + 3402000*ln2^2*z2^3 - 9149076*z2^4 - 
    29568000*li5half*z3 + 246400*ln2^5*z3 + 1946000*ln2^3*z2*z3 - 
    11902800*ln2*z2^2*z3 - 10095750*ln2^2*z3^2 - 7617750*z2*z3^2 - 
    28861000*ln2^3*z5 - 30229500*ln2*z2*z5 + 71749125*z3*z5 + 
    97642125*ln2*z7)/4704000, H[-1, -1, 0, 0, 0, 1, -1, 0, 1] -> 
  (-8064000*li4half^2 - 672000*li4half*ln2^4 - 14000*ln2^8 + 
    16416000*ln2^2*s6 - 2304000*ln2*s7a - 2304000*ln2*s7b - 34427925*s8a - 
    180432000*s8b - 20160000*s8c - 28224000*s8d + 4032000*li4half*ln2^2*z2 + 
    168000*ln2^6*z2 + 84672000*s6*z2 - 2318400*li4half*z2^2 - 
    600600*ln2^4*z2^2 - 9782400*ln2^2*z2^3 + 7470312*z2^4 + 
    56448000*li5half*z3 - 470400*ln2^5*z3 + 4704000*ln2^3*z2*z3 + 
    30348000*ln2*z2^2*z3 - 801000*ln2^2*z3^2 + 25294500*z2*z3^2 + 
    64381500*ln2*z2*z5 - 97272000*z3*z5 - 44993250*ln2*z7)/2016000, 
 H[-1, -1, 0, 0, 0, 1, -1, -1, 1] -> 
  (70560000*li4half^2 + 5880000*li4half*ln2^4 + 122500*ln2^8 - 
    15624000*ln2^2*s6 + 42336000*ln2*s7a + 21168000*ln2*s7b - 67411575*s8a - 
    344232000*s8b - 39312000*s8c - 66528000*s8d - 63504000*li4half*ln2^2*z2 - 
    2646000*ln2^6*z2 + 185976000*s6*z2 - 71870400*li4half*z2^2 + 
    11117400*ln2^4*z2^2 + 3301200*ln2^2*z2^3 + 36145458*z2^4 + 
    133056000*li5half*z3 + 155232000*li4half*ln2*z3 + 5359200*ln2^5*z3 - 
    38304000*ln2^3*z2*z3 + 6092100*ln2*z2^2*z3 + 62637750*ln2^2*z3^2 + 
    50211000*z2*z3^2 + 20506500*ln2^3*z5 + 56416500*ln2*z2*z5 - 
    243408375*z3*z5 - 7882875*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, 0, 0, 1, 1, 1] -> (-100800*ln2^2*s6 + 134400*ln2*s7a + 
    105525*s8a + 940800*s8b + 201600*s8d - 571200*s6*z2 + 
    26880*li4half*z2^2 + 1120*ln2^4*z2^2 + 39360*ln2^2*z2^3 - 27612*z2^4 - 
    403200*li5half*z3 + 3360*ln2^5*z3 - 33600*ln2^3*z2*z3 - 
    147840*ln2*z2^2*z3 + 109200*ln2^2*z3^2 + 25200*z2*z3^2 + 
    130200*ln2^3*z5 + 69300*ln2*z2*z5 + 223125*z3*z5 - 63525*ln2*z7)/67200, 
 H[-1, -1, 0, 0, 0, 0, 1, 0, 1] -> (-114975*s8a - 392000*s8b + 56000*s6*z2 + 
    268800*li4half*z2^2 + 11200*ln2^4*z2^2 - 131200*ln2^2*z2^3 - 
    131416*z2^4 + 134400*ln2*z2^2*z3 - 42000*z2*z3^2 - 56000*ln2*z2*z5 + 
    199500*z3*z5 + 1213625*ln2*z7)/112000, H[-1, -1, 0, 0, 0, 0, 1, -1, 1] -> 
  (672000*ln2^2*s6 - 672000*ln2*s7a - 497175*s8a - 2016000*s8b - 336000*s8c + 
    168000*s6*z2 + 319200*li4half*z2^2 + 13300*ln2^4*z2^2 - 
    264000*ln2^2*z2^3 - 263268*z2^4 - 1176000*li4half*ln2*z3 - 
    49000*ln2^5*z3 + 294000*ln2^3*z2*z3 + 875700*ln2*z2^2*z3 - 
    792750*ln2^2*z3^2 + 315000*z2*z3^2 - 542500*ln2^3*z5 + 204750*ln2*z2*z5 + 
    81375*z3*z5 + 2651250*ln2*z7)/336000, H[-1, -1, 0, 0, 0, 0, 0, 1, 1] -> 
  (151200*s8a + 336000*s6*z2 - 268800*li4half*z2^2 - 11200*ln2^4*z2^2 + 
    105600*ln2^2*z2^3 + 87852*z2^4 - 134400*ln2*z2^2*z3 - 252000*z2*z3^2 - 
    336000*ln2*z2*z5 + 661500*z3*z5 - 989625*ln2*z7)/336000, 
 H[-1, -1, 0, 0, 0, 0, 0, 0, 1] -> (2800*s8b + 951*z2^4 - 4725*z3*z5 - 
    2800*ln2*z7)/2800, H[-1, -1, 0, 0, 0, 0, 0, -1, 1] -> 
  (30450*s8a + 235200*s8b + 33600*s6*z2 - 47040*li4half*z2^2 - 
    1960*ln2^4*z2^2 + 19200*ln2^2*z2^3 + 55236*z2^4 - 23520*ln2*z2^2*z3 - 
    25200*z2*z3^2 - 33600*ln2*z2*z5 - 97125*z3*z5 - 602175*ln2*z7)/67200, 
 H[-1, -1, 0, 0, 0, 0, -1, 1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 + 201600*ln2^2*s6 + 
    403200*ln2*s7b - 1058400*s8a - 6249600*s8b - 806400*s8c - 806400*s8d + 
    403200*li4half*ln2^2*z2 + 16800*ln2^6*z2 + 2620800*s6*z2 - 
    50400*ln2^4*z2^2 - 115200*ln2^2*z2^3 + 169452*z2^4 + 1612800*li5half*z3 - 
    13440*ln2^5*z3 + 134400*ln2^3*z2*z3 + 602280*ln2*z2^2*z3 + 
    113400*ln2^2*z3^2 + 938700*z2*z3^2 - 260400*ln2^3*z5 + 
    1770300*ln2*z2*z5 - 2694825*z3*z5)/403200, 
 H[-1, -1, 0, 0, 0, 0, -1, 0, 1] -> (-42175*s8a - 140000*s8b - 28000*s6*z2 + 
    117600*li4half*z2^2 + 4900*ln2^4*z2^2 - 60400*ln2^2*z2^3 - 58138*z2^4 + 
    58800*ln2*z2^2*z3 + 21000*z2*z3^2 + 28000*ln2*z2*z5 - 10500*z3*z5 + 
    560000*ln2*z7)/56000, H[-1, -1, 0, 0, 0, 0, -1, -1, 1] -> 
  (-161280*li4half^2 - 13440*li4half*ln2^4 - 280*ln2^8 + 40320*ln2^2*s6 - 
    80640*ln2*s7b + 80640*li4half*ln2^2*z2 + 3360*ln2^6*z2 + 
    120960*li4half*z2^2 - 5040*ln2^4*z2^2 - 57600*ln2^2*z2^3 - 22680*z2^4 - 
    282240*li4half*ln2*z3 - 11760*ln2^5*z3 + 70560*ln2^3*z2*z3 + 
    118944*ln2*z2^2*z3 - 70560*ln2^2*z3^2 + 5040*z2*z3^2 + 78120*ln2^3*z5 + 
    239400*ln2*z2*z5 - 9135*z3*z5 - 400050*ln2*z7)/80640, 
 H[-1, -1, 0, 0, 0, -1, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    6552000*ln2^2*s6 + 16800000*ln2*s7a - 2016000*ln2*s7b - 15483825*s8a - 
    70224000*s8b - 13440000*s8c - 7728000*s8d - 4704000*li4half*ln2^2*z2 - 
    196000*ln2^6*z2 + 20160000*s6*z2 + 2923200*li4half*z2^2 + 
    3061800*ln2^4*z2^2 - 1974000*ln2^2*z2^3 + 2223948*z2^4 + 
    15456000*li5half*z3 + 5880000*li4half*ln2*z3 + 116200*ln2^5*z3 - 
    3710000*ln2^3*z2*z3 + 8068200*ln2*z2^2*z3 + 16458750*ln2^2*z3^2 + 
    21582750*z2*z3^2 + 18228000*ln2^3*z5 + 58222500*ln2*z2*z5 - 
    55432125*z3*z5 - 26814375*ln2*z7)/4704000, 
 H[-1, -1, 0, 0, 0, -1, 1, 0, 1] -> 
  (1612800*li4half^2 + 134400*li4half*ln2^4 + 2800*ln2^8 - 3283200*ln2^2*s6 + 
    460800*ln2*s7a + 460800*ln2*s7b + 6307875*s8a + 37094400*s8b + 
    4032000*s8c + 5644800*s8d - 806400*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 
    16430400*s6*z2 + 866880*li4half*z2^2 + 136920*ln2^4*z2^2 + 
    1825680*ln2^2*z2^3 - 1166964*z2^4 - 11289600*li5half*z3 + 
    94080*ln2^5*z3 - 940800*ln2^3*z2*z3 - 5898240*ln2*z2^2*z3 + 
    198000*ln2^2*z3^2 - 5036850*z2*z3^2 - 14022900*ln2*z2*z5 + 
    17616375*z3*z5 + 7946550*ln2*z7)/403200, 
 H[-1, -1, 0, 0, 0, -1, 1, -1, 1] -> 
  (45024000*ln2^2*s6 - 33600000*ln2*s7a + 41664000*ln2*s7b - 38195325*s8a - 
    119616000*s8b - 46368000*s8c + 22848000*s8d + 28224000*li4half*ln2^2*z2 + 
    1176000*ln2^6*z2 - 33936000*s6*z2 + 11155200*li4half*z2^2 - 
    10119200*ln2^4*z2^2 - 6274800*ln2^2*z2^3 - 22648032*z2^4 - 
    45696000*li5half*z3 - 49392000*li4half*ln2*z3 - 1677200*ln2^5*z3 + 
    17360000*ln2^3*z2*z3 + 19471200*ln2*z2^2*z3 - 36288000*ln2^2*z3^2 + 
    36172500*z2*z3^2 - 65317000*ln2^3*z5 - 8421000*ln2*z2*z5 + 
    48643875*z3*z5 + 324917250*ln2*z7)/9408000, 
 H[-1, -1, 0, 0, 0, -1, 0, 1, 1] -> (21504000*ln2^2*s6 - 17472000*ln2*s7a + 
    1344000*ln2*s7b - 23430225*s8a - 175728000*s8b - 8064000*s8c - 
    29568000*s8d + 99120000*s6*z2 - 6619200*li4half*z2^2 - 
    275800*ln2^4*z2^2 - 5978000*ln2^2*z2^3 + 5108444*z2^4 + 
    59136000*li5half*z3 - 492800*ln2^5*z3 + 4928000*ln2^3*z2*z3 + 
    24763200*ln2*z2^2*z3 - 14826000*ln2^2*z3^2 + 1123500*z2*z3^2 - 
    24304000*ln2^3*z5 - 8127000*ln2*z2*z5 - 38172750*z3*z5 + 23223375*ln2*z7)/
   4704000, H[-1, -1, 0, 0, 0, -1, 0, 0, 1] -> 
  (326025*s8a + 2688000*s8b - 705600*li4half*z2^2 - 29400*ln2^4*z2^2 + 
    548400*ln2^2*z2^3 + 725504*z2^4 - 352800*ln2*z2^2*z3 + 168000*z2*z3^2 - 
    672000*ln2*z2*z5 - 2210250*z3*z5 - 6048000*ln2*z7)/336000, 
 H[-1, -1, 0, 0, 0, -1, 0, -1, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    18547200*ln2^2*s6 + 10483200*ln2*s7a - 806400*ln2*s7b + 24615675*s8a + 
    157651200*s8b + 16128000*s8c + 17740800*s8d - 5644800*li4half*ln2^2*z2 - 
    235200*ln2^6*z2 - 48888000*s6*z2 - 5624640*li4half*z2^2 + 
    471240*ln2^4*z2^2 + 9196320*ln2^2*z2^3 + 4992432*z2^4 - 
    35481600*li5half*z3 + 19756800*li4half*ln2*z3 + 1118880*ln2^5*z3 - 
    7896000*ln2^3*z2*z3 - 28899360*ln2*z2^2*z3 + 12247200*ln2^2*z3^2 - 
    20232450*z2*z3^2 + 10936800*ln2^3*z5 - 53997300*ln2*z2*z5 + 
    37004625*z3*z5 - 47538225*ln2*z7)/2822400, 
 H[-1, -1, 0, 0, 0, -1, -1, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    32760000*ln2^2*s6 + 14112000*ln2*s7b + 19610325*s8a - 83664000*s8b + 
    16128000*s8c - 16128000*s8d - 21168000*li4half*ln2^2*z2 - 
    882000*ln2^6*z2 + 67536000*s6*z2 + 7358400*li4half*z2^2 + 
    10008600*ln2^4*z2^2 + 15422400*ln2^2*z2^3 - 8093088*z2^4 + 
    32256000*li5half*z3 + 17640000*li4half*ln2*z3 + 466200*ln2^5*z3 - 
    22890000*ln2^3*z2*z3 - 22516200*ln2*z2^2*z3 + 20774250*ln2^2*z3^2 - 
    40761000*z2*z3^2 - 13671000*ln2^3*z5 - 90279000*ln2*z2*z5 + 
    104918625*z3*z5 + 124362000*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, 0, -1, -1, 0, 1] -> 
  (2688000*ln2^2*s6 - 6536775*s8a + 27888000*s8b - 5376000*s8c + 
    5376000*s8d - 16632000*s6*z2 + 2251200*li4half*z2^2 + 93800*ln2^4*z2^2 + 
    61600*ln2^2*z2^3 + 3460696*z2^4 - 10752000*li5half*z3 + 89600*ln2^5*z3 - 
    896000*ln2^3*z2*z3 + 67200*ln2*z2^2*z3 + 3108000*ln2^2*z3^2 + 
    12006750*z2*z3^2 + 18259500*ln2*z2*z5 - 35505750*z3*z5 - 35868000*ln2*z7)/
   4704000, H[-1, -1, 0, 0, 0, -1, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    110880000*ln2^2*s6 + 104832000*ln2*s7a - 36288000*ln2*s7b + 
    174253275*s8a + 1209096000*s8b + 82656000*s8c + 171360000*s8d - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 469728000*s6*z2 + 
    11692800*li4half*z2^2 + 2251200*ln2^4*z2^2 + 45410400*ln2^2*z2^3 + 
    6376464*z2^4 - 342720000*li5half*z3 + 49392000*li4half*ln2*z3 + 
    4914000*ln2^5*z3 - 40908000*ln2^3*z2*z3 - 180847800*ln2*z2^2*z3 + 
    103320000*ln2^2*z3^2 - 118219500*z2*z3^2 + 123039000*ln2^3*z5 - 
    136962000*ln2*z2*z5 + 339388875*z3*z5 - 521246250*ln2*z7)/28224000, 
 H[-1, -1, 0, 0, -1, 1, 1, 1, 1] -> (-8064000*li4half^2 + 96768000*li8half + 
    48384000*li7half*ln2 + 32256000*li6half*ln2^2 + 5376000*li5half*ln2^3 - 
    672000*li4half*ln2^4 - 21200*ln2^8 + 5472000*ln2^2*s6 + 
    26784000*ln2*s7a - 5472000*ln2*s7b - 17737650*s8a + 33264000*s8b - 
    32256000*s8c + 24192000*s8d - 32256000*li6half*z2 - 
    24192000*li5half*ln2*z2 - 12096000*li4half*ln2^2*z2 - 436800*ln2^6*z2 - 
    66528000*s6*z2 + 2217600*li4half*z2^2 + 1436400*ln2^4*z2^2 - 
    6760800*ln2^2*z2^3 - 8216424*z2^4 - 4032000*li5half*z3 + 
    17136000*li4half*ln2*z3 + 865200*ln2^5*z3 - 4872000*ln2^3*z2*z3 + 
    15231600*ln2*z2^2*z3 + 26266500*ln2^2*z3^2 + 36729000*z2*z3^2 + 
    30597000*ln2^3*z5 + 147051000*ln2*z2*z5 - 73395000*z3*z5 - 
    100360125*ln2*z7)/8064000, H[-1, -1, 0, 0, -1, 1, 1, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    56448000*ln2^2*s6 - 58464000*ln2*s7a + 82656000*ln2*s7b + 142271325*s8a + 
    622944000*s8b + 131040000*s8c + 38304000*s8d + 112896000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 509600*ln2^6*z2 - 
    118944000*s6*z2 + 59875200*li4half*z2^2 - 15145200*ln2^4*z2^2 + 
    35061600*ln2^2*z2^3 - 30126228*z2^4 - 231840000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 2184000*ln2^5*z3 + 9492000*ln2^3*z2*z3 - 
    155937600*ln2*z2^2*z3 - 92610000*ln2^2*z3^2 - 150648750*z2*z3^2 - 
    136710000*ln2^3*z5 - 673627500*ln2*z2*z5 + 403160625*z3*z5 + 
    633638250*ln2*z7)/28224000, H[-1, -1, 0, 0, -1, 1, 1, -1, 1] -> 
  (-677376000*li8half - 338688000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    56448000*li5half*ln2^3 + 207200*ln2^8 - 209664000*ln2^2*s6 + 
    42336000*ln2*s7a + 127008000*ln2*s7b + 56564550*s8a + 5040000*s8b + 
    24192000*s8c + 116928000*s8d + 169344000*li5half*ln2*z2 - 
    2352000*ln2^6*z2 - 304416000*s6*z2 + 37497600*li4half*z2^2 + 
    22377600*ln2^4*z2^2 + 126756000*ln2^2*z2^3 - 40822272*z2^4 - 
    318528000*li5half*z3 - 84672000*li4half*ln2*z3 - 1696800*ln2^5*z3 - 
    74172000*ln2^3*z2*z3 - 160650000*ln2*z2^2*z3 + 73552500*ln2^2*z3^2 - 
    50778000*z2*z3^2 - 4557000*ln2^3*z5 - 680715000*ln2*z2*z5 + 
    824969250*z3*z5 + 1719624375*ln2*z7)/56448000, 
 H[-1, -1, 0, 0, -1, 1, 0, 1, 1] -> 
  (5644800*li4half^2 + 470400*li4half*ln2^4 + 9800*ln2^8 - 
    22780800*ln2^2*s6 - 11289600*ln2*s7a - 28224000*ln2*s7b + 98565075*s8a + 
    413683200*s8b + 85075200*s8c + 27820800*s8d + 45158400*li6half*z2 + 
    11289600*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 556640*ln2^6*z2 - 
    83865600*s6*z2 + 1895040*li4half*z2^2 - 3801840*ln2^4*z2^2 + 
    12213600*ln2^2*z2^3 - 3189636*z2^4 - 62697600*li5half*z3 - 
    11289600*li4half*ln2*z3 + 52080*ln2^5*z3 - 756000*ln2^3*z2*z3 - 
    57617280*ln2*z2^2*z3 - 20386800*ln2^2*z3^2 - 101688300*z2*z3^2 + 
    7291200*ln2^3*z5 - 199218600*ln2*z2*z5 + 181871550*z3*z5 - 
    122267250*ln2*z7)/5644800, H[-1, -1, 0, 0, -1, 1, 0, 0, 1] -> 
  (31248000*ln2^2*s6 - 2352000*ln2*s7a - 2352000*ln2*s7b - 62759550*s8a - 
    317016000*s8b - 43680000*s8c - 40992000*s8d + 130200000*s6*z2 - 
    10432800*li4half*z2^2 - 434700*ln2^4*z2^2 - 16921800*ln2^2*z2^3 + 
    9097377*z2^4 + 85512000*li5half*z3 + 3528000*li4half*ln2*z3 - 
    565600*ln2^5*z3 + 6244000*ln2^3*z2*z3 + 54730200*ln2*z2^2*z3 + 
    1769250*ln2^2*z3^2 + 48507375*z2*z3^2 + 131664750*ln2*z2*z5 - 
    152578125*z3*z5 - 56668500*ln2*z7)/2352000, 
 H[-1, -1, 0, 0, -1, 1, 0, -1, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 + 
    202608000*ln2^2*s6 + 24192000*ln2*s7a + 108864000*ln2*s7b - 
    517146525*s8a - 2685816000*s8b - 312480000*s8c - 449568000*s8d + 
    112896000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    155232000*li4half*ln2^2*z2 - 6546400*ln2^6*z2 + 1343664000*s6*z2 - 
    318528000*li4half*z2^2 + 7896000*ln2^4*z2^2 - 90022800*ln2^2*z2^3 + 
    159687216*z2^4 + 885024000*li5half*z3 + 508032000*li4half*ln2*z3 + 
    13792800*ln2^5*z3 - 49140000*ln2^3*z2*z3 + 290215800*ln2*z2^2*z3 + 
    71316000*ln2^2*z3^2 + 362801250*z2*z3^2 - 82026000*ln2^3*z5 + 
    546430500*ln2*z2*z5 - 1552170375*z3*z5 - 9749250*ln2*z7)/28224000, 
 H[-1, -1, 0, 0, -1, 1, -1, 1, 1] -> 
  (-1241856000*li8half - 112896000*li7half*ln2 - 225792000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 361200*ln2^8 + 
    192528000*ln2^2*s6 - 179424000*ln2*s7a + 258048000*ln2*s7b - 
    330874425*s8a - 2542680000*s8b - 336672000*s8c - 100800000*s8d + 
    225792000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 6193600*ln2^6*z2 + 
    575568000*s6*z2 - 22982400*li4half*z2^2 - 2604000*ln2^4*z2^2 + 
    62092800*ln2^2*z2^3 - 79693848*z2^4 + 215712000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 3796800*ln2^5*z3 - 10248000*ln2^3*z2*z3 + 
    170717400*ln2*z2^2*z3 - 32508000*ln2^2*z3^2 + 156807000*z2*z3^2 - 
    464814000*ln2^3*z5 + 238329000*ln2*z2*z5 + 586270125*z3*z5 + 
    1841222250*ln2*z7)/56448000, H[-1, -1, 0, 0, -1, 1, -1, 0, 1] -> 
  (2016000*ln2^2*s6 + 15724800*ln2*s7a - 40723200*ln2*s7b - 27447525*s8a - 
    98884800*s8b - 7257600*s8c - 26611200*s8d - 22579200*li6half*z2 - 
    5644800*li5half*ln2*z2 - 2822400*li4half*ln2^2*z2 - 101920*ln2^6*z2 + 
    68745600*s6*z2 - 6451200*li4half*z2^2 + 6787200*ln2^4*z2^2 - 
    13569360*ln2^2*z2^3 + 22640556*z2^4 + 54633600*li5half*z3 + 
    11289600*li4half*ln2*z3 + 15120*ln2^5*z3 + 907200*ln2^3*z2*z3 + 
    33248880*ln2*z2^2*z3 + 22087800*ln2^2*z3^2 + 23678550*z2*z3^2 + 
    54684000*ln2^3*z5 + 136149300*ln2*z2*z5 - 139699350*z3*z5 - 
    303664725*ln2*z7)/5644800, H[-1, -1, 0, 0, -1, 1, -1, -1, 1] -> 
  (141120000*li4half^2 - 338688000*li8half + 37632000*li7half*ln2 + 
    75264000*li6half*ln2^2 + 13328000*li4half*ln2^4 + 399000*ln2^8 + 
    46032000*ln2^2*s6 + 89376000*ln2*s7a - 28224000*ln2*s7b - 200485425*s8a - 
    1107960000*s8b - 120288000*s8c - 176064000*s8d - 
    94080000*li4half*ln2^2*z2 - 5488000*ln2^6*z2 + 500304000*s6*z2 - 
    148108800*li4half*z2^2 + 11116000*ln2^4*z2^2 - 16111200*ln2^2*z2^3 + 
    106824792*z2^4 + 352128000*li5half*z3 + 270480000*li4half*ln2*z3 + 
    8610000*ln2^5*z3 - 40040000*ln2^3*z2*z3 + 110254200*ln2*z2^2*z3 + 
    113862000*ln2^2*z3^2 + 148060500*z2*z3^2 + 113925000*ln2^3*z5 + 
    447447000*ln2*z2*z5 - 559778625*z3*z5 - 592373250*ln2*z7)/18816000, 
 H[-1, -1, 0, 0, -1, 0, 1, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 + 
    35280000*ln2^2*s6 - 29232000*ln2*s7a + 27216000*ln2*s7b - 69306300*s8a - 
    408240000*s8b - 33264000*s8c - 58464000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 + 191016000*s6*z2 - 15220800*li4half*z2^2 + 
    247800*ln2^4*z2^2 - 12331200*ln2^2*z2^3 + 7186932*z2^4 + 
    88704000*li5half*z3 - 3528000*li4half*ln2*z3 - 886200*ln2^5*z3 + 
    8274000*ln2^3*z2*z3 + 41542200*ln2*z2^2*z3 - 25908750*ln2^2*z3^2 + 
    31011750*z2*z3^2 - 59241000*ln2^3*z5 - 2425500*ln2*z2*z5 - 
    93917250*z3*z5 + 188047125*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, -1, 0, 1, 0, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 + 725760*ln2^2*s6 - 
    418005*s8a + 1249920*s8b - 1451520*s8c + 1451520*s8d + 
    1128960*li4half*ln2^2*z2 + 47040*ln2^6*z2 - 3326400*s6*z2 + 
    1729728*li4half*z2^2 - 69048*ln2^4*z2^2 - 265104*ln2^2*z2^3 - 
    822084*z2^4 - 645120*li5half*z3 - 1693440*li4half*ln2*z3 - 
    65184*ln2^5*z3 + 369600*ln2^3*z2*z3 + 1140048*ln2*z2^2*z3 + 
    98280*ln2^2*z3^2 + 1185660*z2*z3^2 + 4989600*ln2*z2*z5 - 619920*z3*z5 - 
    1585395*ln2*z7)/564480, H[-1, -1, 0, 0, -1, 0, 1, -1, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 - 
    48888000*ln2^2*s6 - 27216000*ln2*s7a - 83664000*ln2*s7b + 172545975*s8a + 
    931644000*s8b + 116928000*s8c + 115920000*s8d - 42336000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 2116800*ln2^6*z2 - 348264000*s6*z2 + 
    130435200*li4half*z2^2 + 142800*ln2^4*z2^2 + 2515800*ln2^2*z2^3 - 
    28173564*z2^4 - 203616000*li5half*z3 - 208152000*li4half*ln2*z3 - 
    6976200*ln2^5*z3 + 40362000*ln2^3*z2*z3 - 39677400*ln2*z2^2*z3 - 
    48919500*ln2^2*z3^2 - 131134500*z2*z3^2 + 47848500*ln2^3*z5 - 
    41406750*ln2*z2*z5 + 320362875*z3*z5 - 553856625*ln2*z7)/14112000, 
 H[-1, -1, 0, 0, -1, 0, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    45864000*ln2^2*s6 + 25200000*ln2*s7a - 17136000*ln2*s7b + 66824100*s8a + 
    384048000*s8b + 41328000*s8c + 43344000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 - 160776000*s6*z2 + 201600*li4half*z2^2 + 
    890400*ln2^4*z2^2 + 13255200*ln2^2*z2^3 - 267864*z2^4 - 
    100800000*li5half*z3 + 10584000*li4half*ln2*z3 + 1281000*ln2^5*z3 - 
    11046000*ln2^3*z2*z3 - 56800800*ln2*z2^2*z3 + 23924250*ln2^2*z3^2 - 
    32429250*z2*z3^2 + 54684000*ln2^3*z5 - 40572000*ln2*z2*z5 + 
    97177500*z3*z5 - 131866875*ln2*z7)/7056000, 
 H[-1, -1, 0, 0, -1, 0, 0, 0, 1] -> 
  (-66675*s8a - 798000*s8b + 58800*li4half*z2^2 + 2450*ln2^4*z2^2 - 
    107700*ln2^2*z2^3 - 163173*z2^4 + 29400*ln2*z2^2*z3 - 21000*z2*z3^2 + 
    252000*ln2*z2*z5 + 635250*z3*z5 + 1428000*ln2*z7)/84000, 
 H[-1, -1, 0, 0, -1, 0, 0, -1, 1] -> 
  (38640000*ln2^2*s6 - 16800000*ln2*s7a + 11424000*ln2*s7b - 62991075*s8a - 
    372288000*s8b - 43680000*s8c - 40992000*s8d + 120792000*s6*z2 - 
    7022400*li4half*z2^2 - 292600*ln2^4*z2^2 - 15254400*ln2^2*z2^3 - 
    4992692*z2^4 + 74928000*li5half*z3 - 7056000*li4half*ln2*z3 - 
    918400*ln2^5*z3 + 8008000*ln2^3*z2*z3 + 51798600*ln2*z2^2*z3 - 
    13681500*ln2^2*z3^2 + 50106000*z2*z3^2 - 27342000*ln2^3*z5 + 
    107184000*ln2*z2*z5 - 93318750*z3*z5 + 129916500*ln2*z7)/4704000, 
 H[-1, -1, 0, 0, -1, 0, -1, 1, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    8064000*ln2^2*s6 + 30240000*ln2*s7a - 153216000*ln2*s7b + 82668600*s8a + 
    690480000*s8b + 110880000*s8c + 2016000*s8d + 84672000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 2822400*ln2^6*z2 - 152208000*s6*z2 - 
    61689600*li4half*z2^2 - 23738400*ln2^4*z2^2 - 22310400*ln2^2*z2^3 + 
    76960656*z2^4 - 95760000*li5half*z3 - 14112000*li4half*ln2*z3 + 
    210000*ln2^5*z3 + 59052000*ln2^3*z2*z3 - 11226600*ln2*z2^2*z3 - 
    29389500*ln2^2*z3^2 - 16348500*z2*z3^2 + 209622000*ln2^3*z5 + 
    40477500*ln2*z2*z5 - 229942125*z3*z5 - 1085167125*ln2*z7)/28224000, 
 H[-1, -1, 0, 0, -1, 0, -1, 0, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 - 
    1008000*ln2^2*s6 + 2664900*s8a - 17690400*s8b + 2016000*s8c - 
    2016000*s8d + 2822400*li4half*ln2^2*z2 + 117600*ln2^6*z2 + 
    5090400*s6*z2 + 3477600*li4half*z2^2 - 207900*ln2^4*z2^2 - 
    1360800*ln2^2*z2^3 - 3842562*z2^4 + 8265600*li5half*z3 - 
    5644800*li4half*ln2*z3 - 304080*ln2^5*z3 + 2100000*ln2^3*z2*z3 + 
    3238200*ln2*z2^2*z3 - 3105900*ln2^2*z3^2 - 4400550*z2*z3^2 - 
    2167200*ln2*z2*z5 + 15858675*z3*z5 + 25666200*ln2*z7)/1411200, 
 H[-1, -1, 0, 0, -1, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    65184000*ln2^2*s6 - 47712000*ln2*s7a + 13440000*ln2*s7b - 99174075*s8a - 
    684264000*s8b - 49056000*s8c - 92064000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 + 254688000*s6*z2 + 4166400*li4half*z2^2 - 
    1590400*ln2^4*z2^2 - 30783200*ln2^2*z2^3 - 9189912*z2^4 + 
    181776000*li5half*z3 - 51744000*li4half*ln2*z3 - 3670800*ln2^5*z3 + 
    28084000*ln2^3*z2*z3 + 108969000*ln2*z2^2*z3 - 59062500*ln2^2*z3^2 + 
    68470500*z2*z3^2 - 59241000*ln2^3*z5 + 105777000*ln2*z2*z5 - 
    172410000*z3*z5 + 295204875*ln2*z7)/9408000, 
 H[-1, -1, 0, 0, -1, -1, 1, 1, 1] -> 
  (-21504000*li7half*ln2 + 448000*li5half*ln2^3 - 224000*li4half*ln2^4 - 
    8800*ln2^8 + 4032000*ln2^2*s6 - 3360000*ln2*s7a + 6048000*ln2*s7b - 
    2090550*s8a - 12768000*s8b - 1344000*s8c - 1344000*s8d + 
    5376000*li6half*z2 - 1344000*li4half*ln2^2*z2 - 44800*ln2^6*z2 + 
    7728000*s6*z2 - 739200*li4half*z2^2 - 372400*ln2^4*z2^2 - 
    2340000*ln2^2*z2^3 - 498528*z2^4 + 2352000*li5half*z3 + 
    2352000*li4half*ln2*z3 + 78400*ln2^5*z3 - 476000*ln2^3*z2*z3 - 
    1066800*ln2*z2^2*z3 - 4016250*ln2^2*z3^2 + 189000*z2*z3^2 - 
    9656500*ln2^3*z5 - 14028000*ln2*z2*z5 - 2359875*z3*z5 + 50757000*ln2*z7)/
   1344000, H[-1, -1, 0, 0, -1, -1, 1, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    9360000*ln2^2*s6 - 12384000*ln2*s7a + 7776000*ln2*s7b - 2034900*s8a + 
    4032000*s8b - 4032000*s8c + 4032000*s8d - 4032000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 201600*ln2^6*z2 - 11088000*s6*z2 + 
    14918400*li4half*z2^2 - 1982400*ln2^4*z2^2 - 1704000*ln2^2*z2^3 - 
    4935864*z2^4 - 7056000*li5half*z3 - 26208000*li4half*ln2*z3 - 
    1033200*ln2^5*z3 + 5964000*ln2^3*z2*z3 + 6861600*ln2*z2^2*z3 - 
    14850000*ln2^2*z3^2 + 4047750*z2*z3^2 - 19530000*ln2^3*z5 - 
    6619500*ln2*z2*z5 + 2748375*z3*z5 + 44907750*ln2*z7)/4032000, 
 H[-1, -1, 0, 0, -1, -1, 1, -1, 1] -> 
  (-211680000*li4half^2 + 451584000*li7half*ln2 - 12936000*li4half*ln2^4 - 
    261100*ln2^8 - 23184000*ln2^2*s6 - 14112000*ln2*s7a - 141120000*ln2*s7b + 
    40334175*s8a + 308952000*s8b + 4032000*s8c + 80640000*s8d + 
    112896000*li4half*ln2^2*z2 + 5409600*ln2^6*z2 - 203616000*s6*z2 + 
    185472000*li4half*z2^2 + 4200000*ln2^4*z2^2 + 6904800*ln2^2*z2^3 - 
    60551532*z2^4 - 161280000*li5half*z3 - 391608000*li4half*ln2*z3 - 
    14973000*ln2^5*z3 + 84462000*ln2^3*z2*z3 + 116902800*ln2*z2^2*z3 - 
    24932250*ln2^2*z3^2 - 19120500*z2*z3^2 + 123039000*ln2^3*z5 + 
    406413000*ln2*z2*z5 + 216948375*z3*z5 - 1088443125*ln2*z7)/28224000, 
 H[-1, -1, 0, 0, -1, -1, 0, 1, 1] -> 
  (-1344000*ln2^2*s6 + 672000*ln2*s7a - 672000*ln2*s7b + 2090550*s8a + 
    12768000*s8b + 1344000*s8c + 1344000*s8d - 2688000*li5half*ln2*z2 - 
    1344000*li4half*ln2^2*z2 - 33600*ln2^6*z2 - 4704000*s6*z2 + 
    67200*li4half*z2^2 + 114800*ln2^4*z2^2 + 29600*ln2^2*z2^3 + 205908*z2^4 - 
    1008000*li5half*z3 + 1680000*li4half*ln2*z3 + 78400*ln2^5*z3 - 
    504000*ln2^3*z2*z3 - 1415400*ln2*z2^2*z3 + 819000*ln2^2*z3^2 - 
    1270500*z2*z3^2 + 1736000*ln2^3*z5 + 609000*ln2*z2*z5 + 800625*z3*z5 - 
    6373500*ln2*z7)/1344000, H[-1, -1, 0, 0, -1, -1, 0, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 1008000*ln2^2*s6 + 
    1017450*s8a - 2016000*s8b + 2016000*s8c - 2016000*s8d - 
    2016000*li4half*ln2^2*z2 - 84000*ln2^6*z2 + 4032000*s6*z2 - 
    3427200*li4half*z2^2 + 109200*ln2^4*z2^2 + 806400*ln2^2*z2^3 + 
    1189332*z2^4 + 1008000*li5half*z3 + 4032000*li4half*ln2*z3 + 
    159600*ln2^5*z3 - 924000*ln2^3*z2*z3 - 1978200*ln2*z2^2*z3 + 
    220500*ln2^2*z3^2 - 1417500*z2*z3^2 - 5544000*ln2*z2*z5 + 858375*z3*z5 + 
    504000*ln2*z7)/2016000, H[-1, -1, 0, 0, -1, -1, 0, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    5376000*ln2^2*s6 - 4704000*ln2*s7a + 4704000*ln2*s7b - 13444725*s8a - 
    102984000*s8b - 1344000*s8c - 26880000*s8d - 9408000*li5half*ln2*z2 - 
    18816000*li4half*ln2^2*z2 - 705600*ln2^6*z2 + 67872000*s6*z2 - 
    27955200*li4half*z2^2 + 991200*ln2^4*z2^2 + 1422400*ln2^2*z2^3 + 
    13410084*z2^4 + 58464000*li5half*z3 + 54096000*li4half*ln2*z3 + 
    1766800*ln2^5*z3 - 8652000*ln2^3*z2*z3 + 4544400*ln2*z2^2*z3 + 
    1365000*ln2^2*z3^2 + 6189750*z2*z3^2 - 9114000*ln2^3*z5 - 
    892500*ln2*z2*z5 - 76909875*z3*z5 - 16059750*ln2*z7)/9408000, 
 H[-1, -1, 0, 0, -1, -1, -1, 1, 1] -> 
  (18816000*li4half^2 + 564480000*li8half - 75264000*li7half*ln2 + 
    12544000*li5half*ln2^3 + 3136000*li4half*ln2^4 + 22400*ln2^8 - 
    85008000*ln2^2*s6 + 1344000*ln2*s7a - 22176000*ln2*s7b + 256301325*s8a + 
    1573656000*s8b + 195552000*s8c + 124320000*s8d + 37632000*li6half*z2 - 
    406224000*s6*z2 + 11222400*li4half*z2^2 - 7450800*ln2^4*z2^2 - 
    1545600*ln2^2*z2^3 - 19478568*z2^4 - 258048000*li5half*z3 + 
    21168000*li4half*ln2*z3 + 3032400*ln2^5*z3 - 13272000*ln2^3*z2*z3 - 
    195841800*ln2*z2^2*z3 - 34125000*ln2^2*z3^2 - 195321000*z2*z3^2 + 
    21266000*ln2^3*z5 - 520779000*ln2*z2*z5 + 159093375*z3*z5 - 
    141931125*ln2*z7)/18816000, H[-1, -1, 0, 0, -1, -1, -1, 0, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 - 
    1814400*ln2^2*s6 + 4016250*s8a - 26409600*s8b + 3628800*s8c - 
    3628800*s8d + 5644800*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 
    188160*ln2^6*z2 + 7257600*s6*z2 + 3790080*li4half*z2^2 - 
    430080*ln2^4*z2^2 - 1081920*ln2^2*z2^3 - 5500884*z2^4 + 
    5846400*li5half*z3 - 11289600*li4half*ln2*z3 - 519120*ln2^5*z3 + 
    3309600*ln2^3*z2*z3 + 3041640*ln2*z2^2*z3 - 4743900*ln2^2*z3^2 - 
    5874750*z2*z3^2 - 9342900*ln2*z2*z5 + 28351575*z3*z5 + 43041600*ln2*z7)/
   5644800, H[-1, -1, 0, 0, -1, -1, -1, -1, 1] -> 
  (564480000*li8half + 225792000*li7half*ln2 - 18816000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 - 70000*ln2^8 - 7056000*ln2^2*s6 - 
    40320000*ln2*s7a - 54432000*ln2*s7b + 46608975*s8a + 36792000*s8b + 
    94752000*s8c - 94752000*s8d + 156800*ln2^6*z2 + 189504000*s6*z2 - 
    18950400*li4half*z2^2 - 789600*ln2^4*z2^2 - 22478400*ln2^2*z2^3 - 
    22901544*z2^4 + 189504000*li5half*z3 - 1579200*ln2^5*z3 + 
    15792000*ln2^3*z2*z3 + 39425400*ln2*z2^2*z3 - 67032000*ln2^2*z3^2 - 
    60700500*z2*z3^2 + 27342000*ln2^3*z5 - 123921000*ln2*z2*z5 - 
    221909625*z3*z5 - 144734625*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, 1, 1, 1, 1, 1] -> (84672000*li4half^2 + 282240000*li8half - 
    112896000*li7half*ln2 + 141120000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 - 98000*ln2^8 + 96768000*ln2^2*s6 + 
    42336000*ln2*s7a + 70560000*ln2*s7b - 80268300*s8a + 121968000*s8b - 
    137088000*s8c + 122976000*s8d - 84672000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 470400*ln2^6*z2 - 
    323568000*s6*z2 + 17539200*li4half*z2^2 - 12499200*ln2^4*z2^2 - 
    50148000*ln2^2*z2^3 - 36556848*z2^4 - 140112000*li5half*z3 + 
    42336000*li4half*ln2*z3 + 2931600*ln2^5*z3 - 9912000*ln2^3*z2*z3 + 
    61160400*ln2*z2^2*z3 + 7150500*ln2^2*z3^2 + 160146000*z2*z3^2 - 
    41013000*ln2^3*z5 + 380835000*ln2*z2*z5 - 306353250*z3*z5 + 
    342160875*ln2*z7)/56448000, H[-1, -1, 0, -1, 1, 1, 1, 0, 1] -> 
  (-4032000*li4half^2 - 322560000*li8half + 8064000*li6half*ln2^2 - 
    336000*li4half*ln2^4 - 3800*ln2^8 + 27216000*ln2^2*s6 + 3024000*ln2*s7a + 
    10080000*ln2*s7b - 85327200*s8a - 584640000*s8b - 62496000*s8c - 
    46368000*s8d + 14112000*li6half*z2 - 4032000*li5half*ln2*z2 - 
    3024000*li4half*ln2^2*z2 - 16800*ln2^6*z2 + 155232000*s6*z2 - 
    11188800*li4half*z2^2 + 1516200*ln2^4*z2^2 + 4093200*ln2^2*z2^3 + 
    12381768*z2^4 + 86688000*li5half*z3 + 6552000*li4half*ln2*z3 - 
    449400*ln2^5*z3 + 2562000*ln2^3*z2*z3 + 52907400*ln2*z2^2*z3 + 
    15576750*ln2^2*z3^2 + 58054500*z2*z3^2 - 6835500*ln2^3*z5 + 
    154791000*ln2*z2*z5 + 6678000*z3*z5 + 89530875*ln2*z7)/4032000, 
 H[-1, -1, 0, -1, 1, 1, 1, -1, 1] -> 
  (84672000*li4half^2 - 1128960000*li8half + 338688000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    16464000*li4half*ln2^4 + 483000*ln2^8 - 152208000*ln2^2*s6 + 
    155232000*ln2*s7a + 70560000*ln2*s7b - 260566425*s8a - 2412648000*s8b - 
    175392000*s8c - 219744000*s8d + 56448000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 8663200*ln2^6*z2 + 637056000*s6*z2 - 
    132854400*li4half*z2^2 + 43856400*ln2^4*z2^2 + 137692800*ln2^2*z2^3 + 
    15120072*z2^4 + 411264000*li5half*z3 + 317520000*li4half*ln2*z3 + 
    9802800*ln2^5*z3 - 131544000*ln2^3*z2*z3 + 15157800*ln2*z2^2*z3 + 
    287500500*ln2^2*z3^2 + 146317500*z2*z3^2 + 141267000*ln2^3*z5 + 
    143829000*ln2*z2*z5 + 319732875*z3*z5 + 1245328875*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, 1, 1, 0, 1, 1] -> 
  (-169344000*li4half^2 + 4515840000*li8half + 1354752000*li7half*ln2 - 
    37632000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 137200*ln2^8 - 
    560952000*ln2^2*s6 + 124992000*ln2*s7a - 481824000*ln2*s7b + 
    1301153175*s8a + 8525664000*s8b + 949536000*s8c + 687456000*s8d - 
    254016000*li6half*z2 - 112896000*li5half*ln2*z2 + 
    105840000*li4half*ln2^2*z2 + 4370800*ln2^6*z2 - 2281608000*s6*z2 + 
    285667200*li4half*z2^2 - 5443200*ln2^4*z2^2 + 13112400*ln2^2*z2^3 - 
    232973712*z2^4 - 1276128000*li5half*z3 - 317520000*li4half*ln2*z3 - 
    2595600*ln2^5*z3 + 33894000*ln2^3*z2*z3 - 691840800*ln2*z2^2*z3 - 
    24806250*ln2^2*z3^2 - 963632250*z2*z3^2 + 599245500*ln2^3*z5 - 
    1376802000*ln2*z2*z5 + 508449375*z3*z5 - 3851938125*ln2*z7)/28224000, 
 H[-1, -1, 0, -1, 1, 1, 0, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 - 
    13536000*ln2^2*s6 - 576000*ln2*s7a - 20736000*ln2*s7b + 27044325*s8a + 
    100800000*s8b + 34272000*s8c - 10080000*s8d - 8064000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 - 100800*ln2^6*z2 + 11592000*s6*z2 + 
    100800*li4half*z2^2 + 2356200*ln2^4*z2^2 - 249600*ln2^2*z2^3 + 
    13256052*z2^4 + 10080000*li5half*z3 + 6048000*li4half*ln2*z3 + 
    168000*ln2^5*z3 - 3696000*ln2^3*z2*z3 - 7684200*ln2*z2^2*z3 - 
    153000*ln2^2*z3^2 - 29625750*z2*z3^2 + 19530000*ln2^3*z5 - 
    39510000*ln2*z2*z5 - 15553125*z3*z5 - 146387250*ln2*z7)/4032000, 
 H[-1, -1, 0, -1, 1, 1, 0, -1, 1] -> 
  (-56448000*li4half^2 - 2257920000*li8half - 451584000*li7half*ln2 - 
    4704000*li4half*ln2^4 - 64400*ln2^8 + 421512000*ln2^2*s6 - 
    147840000*ln2*s7a + 16800000*ln2*s7b - 818651400*s8a - 5162304000*s8b - 
    516768000*s8c - 555744000*s8d + 14112000*li6half*z2 - 
    18816000*li5half*ln2*z2 + 21168000*li4half*ln2^2*z2 + 744800*ln2^6*z2 + 
    1658328000*s6*z2 - 64579200*li4half*z2^2 + 1680000*ln2^4*z2^2 - 
    106909600*ln2^2*z2^3 + 197786196*z2^4 + 1120896000*li5half*z3 - 
    91728000*li4half*ln2*z3 - 13162800*ln2^5*z3 + 120750000*ln2^3*z2*z3 + 
    738805200*ln2*z2^2*z3 - 120251250*ln2^2*z3^2 + 596757000*z2*z3^2 - 
    159495000*ln2^3*z5 + 1502056500*ln2*z2*z5 - 1052514750*z3*z5 + 
    129262875*ln2*z7)/9408000, H[-1, -1, 0, -1, 1, 1, -1, 1, 1] -> 
  (-84672000*li4half^2 + 564480000*li8half - 338688000*li7half*ln2 - 
    84672000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    163800*ln2^8 - 16800000*ln2^2*s6 - 98784000*ln2*s7a + 98784000*ln2*s7b + 
    189845775*s8a + 1426824000*s8b + 94752000*s8c + 215712000*s8d + 
    84672000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 3802400*ln2^6*z2 - 
    501984000*s6*z2 + 112291200*li4half*z2^2 - 17136000*ln2^4*z2^2 - 
    20764800*ln2^2*z2^3 - 91888056*z2^4 - 438480000*li5half*z3 - 
    148176000*li4half*ln2*z3 - 2520000*ln2^5*z3 + 33432000*ln2^3*z2*z3 - 
    178907400*ln2*z2^2*z3 - 118944000*ln2^2*z3^2 - 153090000*z2*z3^2 - 
    209622000*ln2^3*z5 - 580608000*ln2*z2*z5 + 388434375*z3*z5 + 
    791980875*ln2*z7)/18816000, H[-1, -1, 0, -1, 1, 1, -1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 4560000*ln2^2*s6 - 
    4224000*ln2*s7a - 2208000*ln2*s7b - 6602925*s8a - 42672000*s8b - 
    672000*s8c - 11424000*s8d - 2016000*li6half*z2 + 2688000*li5half*ln2*z2 - 
    1680000*li4half*ln2^2*z2 - 95200*ln2^6*z2 + 26880000*s6*z2 - 
    5107200*li4half*z2^2 + 725200*ln2^4*z2^2 - 1324800*ln2^2*z2^3 + 
    4986192*z2^4 + 22176000*li5half*z3 + 3696000*li4half*ln2*z3 - 
    30800*ln2^5*z3 - 714000*ln2^3*z2*z3 + 8997000*ln2*z2^2*z3 - 
    1983000*ln2^2*z3^2 + 4541250*z2*z3^2 - 1953000*ln2^3*z5 + 
    4186500*ln2*z2*z5 - 35080500*z3*z5 - 25399125*ln2*z7)/1344000, 
 H[-1, -1, 0, -1, 1, 1, -1, -1, 1] -> 
  (-63504000*li4half^2 - 211680000*li8half + 197568000*li7half*ln2 + 
    77616000*li6half*ln2^2 - 7056000*li4half*ln2^4 - 120400*ln2^8 + 
    113904000*ln2^2*s6 - 20664000*ln2*s7a - 122976000*ln2*s7b - 
    138711825*s8a - 821772000*s8b - 66528000*s8c - 155736000*s8d + 
    42336000*li4half*ln2^2*z2 + 676200*ln2^6*z2 + 422604000*s6*z2 + 
    19656000*li4half*z2^2 - 268800*ln2^4*z2^2 - 51685200*ln2^2*z2^3 + 
    60845688*z2^4 + 311472000*li5half*z3 - 121716000*li4half*ln2*z3 - 
    7667100*ln2^5*z3 + 58149000*ln2^3*z2*z3 + 240546600*ln2*z2^2*z3 - 
    47454750*ln2^2*z3^2 + 95870250*z2*z3^2 + 99114750*ln2^3*z5 + 
    564023250*ln2*z2*z5 - 475311375*z3*z5 - 1210056750*ln2*z7)/14112000, 
 H[-1, -1, 0, -1, 1, 0, 1, 1, 1] -> (9408000*li4half^2 - 225792000*li8half - 
    120422400*li7half*ln2 - 22579200*li6half*ln2^2 + 1411200*li4half*ln2^4 + 
    29400*ln2^8 + 21168000*ln2^2*s6 - 19622400*ln2*s7a + 28358400*ln2*s7b - 
    44126775*s8a - 363753600*s8b - 22848000*s8c - 42067200*s8d + 
    45158400*li6half*z2 + 15052800*li5half*ln2*z2 - 
    5174400*li4half*ln2^2*z2 - 309680*ln2^6*z2 + 138230400*s6*z2 - 
    14528640*li4half*z2^2 + 413840*ln2^4*z2^2 - 2009280*ln2^2*z2^3 + 
    12210372*z2^4 + 54028800*li5half*z3 + 12936000*li4half*ln2*z3 + 
    88760*ln2^5*z3 - 2612400*ln2^3*z2*z3 + 16375800*ln2*z2^2*z3 - 
    12112800*ln2^2*z3^2 + 15960000*z2*z3^2 - 46481400*ln2^3*z5 - 
    34941900*ln2*z2*z5 + 16766925*z3*z5 + 267747375*ln2*z7)/1881600, 
 H[-1, -1, 0, -1, 1, 0, 1, 0, 1] -> (36960000*ln2^2*s6 + 11424000*ln2*s7a + 
    11424000*ln2*s7b - 62606775*s8a - 208320000*s8b - 77952000*s8c + 
    21504000*s8d - 56448000*li6half*z2 + 14112000*li4half*ln2^2*z2 + 
    509600*ln2^6*z2 - 41832000*s6*z2 - 50400*li4half*z2^2 - 
    2354100*ln2^4*z2^2 - 8444800*ln2^2*z2^3 - 9505674*z2^4 + 
    22848000*li5half*z3 - 190400*ln2^5*z3 + 8960000*ln2^3*z2*z3 + 
    54064500*ln2*z2^2*z3 + 11130000*ln2^2*z3^2 + 84924000*z2*z3^2 + 
    209742750*ln2*z2*z5 - 96710250*z3*z5 + 41790000*ln2*z7)/4704000, 
 H[-1, -1, 0, -1, 1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 + 7902720000*li8half + 1806336000*li7half*ln2 + 
    338688000*li6half*ln2^2 + 75264000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 809200*ln2^8 - 918288000*ln2^2*s6 + 
    330624000*ln2*s7a - 163296000*ln2*s7b + 2480508450*s8a + 
    16760016000*s8b + 1499904000*s8c + 1774080000*s8d - 
    225792000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 7252000*ln2^6*z2 - 
    5185152000*s6*z2 + 394329600*li4half*z2^2 - 62714400*ln2^4*z2^2 + 
    113551200*ln2^2*z2^3 - 624944088*z2^4 - 3435264000*li5half*z3 - 
    74088000*li4half*ln2*z3 + 25540200*ln2^5*z3 - 191016000*ln2^3*z2*z3 - 
    2028889800*ln2*z2^2*z3 + 111510000*ln2^2*z3^2 - 1742328000*z2*z3^2 + 
    385066500*ln2^3*z5 - 3609238500*ln2*z2*z5 + 2299405500*z3*z5 - 
    2743390125*ln2*z7)/28224000, H[-1, -1, 0, -1, 1, 0, 0, 1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    146160000*ln2^2*s6 - 88704000*ln2*s7a + 108864000*ln2*s7b - 
    484688925*s8a - 2181312000*s8b - 312480000*s8c - 252000000*s8d - 
    677376000*li6half*z2 + 42336000*li4half*ln2^2*z2 + 823200*ln2^6*z2 + 
    447552000*s6*z2 - 58867200*li4half*z2^2 - 688800*ln2^4*z2^2 - 
    6526800*ln2^2*z2^3 + 137704752*z2^4 + 504000000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 6258000*ln2^5*z3 + 70224000*ln2^3*z2*z3 + 
    347722200*ln2*z2^2*z3 - 59440500*ln2^2*z3^2 + 543721500*z2*z3^2 - 
    145824000*ln2^3*z5 + 724815000*ln2*z2*z5 - 1172193750*z3*z5 + 
    312180750*ln2*z7)/28224000, H[-1, -1, 0, -1, 1, 0, 0, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    114912000*ln2^2*s6 - 16128000*ln2*s7a - 16128000*ln2*s7b + 
    280408275*s8a + 1274112000*s8b + 205632000*s8c + 133056000*s8d + 
    28224000*li4half*ln2^2*z2 + 1176000*ln2^6*z2 - 470736000*s6*z2 + 
    73886400*li4half*z2^2 - 449400*ln2^4*z2^2 + 61269600*ln2^2*z2^3 - 
    42327276*z2^4 - 266112000*li5half*z3 - 56448000*li4half*ln2*z3 - 
    134400*ln2^5*z3 - 8064000*ln2^3*z2*z3 - 195148800*ln2*z2^2*z3 - 
    43785000*ln2^2*z3^2 - 221256000*z2*z3^2 - 538870500*ln2*z2*z5 + 
    621156375*z3*z5 + 76324500*ln2*z7)/14112000, 
 H[-1, -1, 0, -1, 1, 0, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    53424000*ln2^2*s6 - 4032000*ln2*s7a - 36960000*ln2*s7b + 117471900*s8a + 
    531384000*s8b + 91392000*s8c + 63840000*s8d - 56448000*li6half*z2 + 
    18816000*li4half*ln2^2*z2 + 705600*ln2^6*z2 - 234696000*s6*z2 + 
    35935200*li4half*z2^2 - 266700*ln2^4*z2^2 + 27678000*ln2^2*z2^3 - 
    12515646*z2^4 - 127680000*li5half*z3 - 57624000*li4half*ln2*z3 - 
    1337000*ln2^5*z3 + 1120000*ln2^3*z2*z3 - 67706100*ln2*z2^2*z3 - 
    8557500*ln2^2*z3^2 - 88021500*z2*z3^2 + 31899000*ln2^3*z5 - 
    155132250*ln2*z2*z5 + 280326375*z3*z5 - 75954375*ln2*z7)/4704000, 
 H[-1, -1, 0, -1, 1, 0, -1, 1, 1] -> 
  (451584000*li4half^2 + 4515840000*li8half + 5419008000*li7half*ln2 + 
    677376000*li6half*ln2^2 - 150528000*li5half*ln2^3 + 
    37632000*li4half*ln2^4 + 2016000*ln2^8 - 1565424000*ln2^2*s6 + 
    1203552000*ln2*s7a - 1661184000*ln2*s7b + 1377159525*s8a + 
    8218728000*s8b + 1372896000*s8c + 122976000*s8d - 2032128000*li6half*z2 - 
    84672000*li4half*ln2^2*z2 - 13563200*ln2^6*z2 - 2052288000*s6*z2 - 
    299980800*li4half*z2^2 + 129326400*ln2^4*z2^2 + 541245600*ln2^2*z2^3 + 
    383039784*z2^4 - 133056000*li5half*z3 + 564480000*li4half*ln2*z3 + 
    24628800*ln2^5*z3 - 221004000*ln2^3*z2*z3 - 507918600*ln2*z2^2*z3 + 
    1129684500*ln2^2*z3^2 - 782491500*z2*z3^2 + 2989392000*ln2^3*z5 + 
    620361000*ln2*z2*z5 - 1119722625*z3*z5 - 13628175750*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, 1, 0, -1, 0, 1] -> 
  (-225792000*li4half^2 - 18816000*li4half*ln2^4 - 392000*ln2^8 - 
    28224000*ln2^2*s6 - 36288000*ln2*s7a - 36288000*ln2*s7b + 314352675*s8a + 
    1161720000*s8b + 129024000*s8c + 209664000*s8d + 338688000*li6half*z2 + 
    141120000*li4half*ln2^2*z2 + 6350400*ln2^6*z2 - 482832000*s6*z2 + 
    216216000*li4half*z2^2 - 19215000*ln2^4*z2^2 - 37833600*ln2^2*z2^3 - 
    200737512*z2^4 - 419328000*li5half*z3 - 381024000*li4half*ln2*z3 - 
    12381600*ln2^5*z3 + 92064000*ln2^3*z2*z3 - 59358600*ln2*z2^2*z3 - 
    154350000*ln2^2*z3^2 - 277578000*z2*z3^2 - 200434500*ln2*z2*z5 + 
    1066243500*z3*z5 + 188322750*ln2*z7)/28224000, 
 H[-1, -1, 0, -1, 1, 0, -1, -1, 1] -> 
  (-141120000*li4half^2 - 4515840000*li8half - 1806336000*li7half*ln2 - 
    225792000*li6half*ln2^2 - 11760000*li4half*ln2^4 - 312200*ln2^8 + 
    848400000*ln2^2*s6 - 463008000*ln2*s7a + 341376000*ln2*s7b - 
    1479096675*s8a - 9615816000*s8b - 1005984000*s8c - 828576000*s8d + 
    89376000*li4half*ln2^2*z2 + 4037600*ln2^6*z2 + 2574432000*s6*z2 - 
    52819200*li4half*z2^2 - 15724800*ln2^4*z2^2 - 173762400*ln2^2*z2^3 + 
    217039752*z2^4 + 1657152000*li5half*z3 - 268128000*li4half*ln2*z3 - 
    24981600*ln2^5*z3 + 203364000*ln2^3*z2*z3 + 1169897400*ln2*z2^2*z3 - 
    359824500*ln2^2*z3^2 + 1100011500*z2*z3^2 - 779247000*ln2^3*z5 + 
    1990023000*ln2*z2*z5 - 904467375*z3*z5 + 3772345500*ln2*z7)/18816000, 
 H[-1, -1, 0, -1, 1, -1, 1, 1, 1] -> 
  (63504000*li4half^2 - 310464000*li8half + 522144000*li7half*ln2 + 
    7056000*li6half*ln2^2 - 7056000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    141050*ln2^8 - 85680000*ln2^2*s6 + 118944000*ln2*s7a - 
    128016000*ln2*s7b - 70897050*s8a - 661248000*s8b - 45360000*s8c - 
    88704000*s8d - 63504000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 
    3724000*ln2^6*z2 + 207396000*s6*z2 - 66427200*li4half*z2^2 + 
    28734300*ln2^4*z2^2 + 60190200*ln2^2*z2^3 + 30985452*z2^4 + 
    182700000*li5half*z3 + 116424000*li4half*ln2*z3 + 3637200*ln2^5*z3 - 
    47397000*ln2^3*z2*z3 + 70137900*ln2*z2^2*z3 + 194307750*ln2^2*z3^2 + 
    23215500*z2*z3^2 + 252913500*ln2^3*z5 + 468578250*ln2*z2*z5 + 
    47880000*z3*z5 - 994604625*ln2*z7)/14112000, 
 H[-1, -1, 0, -1, 1, -1, 1, 0, 1] -> 
  (169344000*li4half^2 + 18063360000*li8half - 451584000*li6half*ln2^2 + 
    14112000*li4half*ln2^4 + 114800*ln2^8 - 3062304000*ln2^2*s6 + 
    304416000*ln2*s7a - 260064000*ln2*s7b + 7459584300*s8a + 
    44776368000*s8b + 5289984000*s8c + 4023936000*s8d - 
    366912000*li6half*z2 - 42336000*li4half*ln2^2*z2 - 5409600*ln2^6*z2 - 
    12838896000*s6*z2 + 656611200*li4half*z2^2 - 97179600*ln2^4*z2^2 + 
    504907200*ln2^2*z2^3 - 1057330152*z2^4 - 8047872000*li5half*z3 + 
    275184000*li4half*ln2*z3 + 78531600*ln2^5*z3 - 684768000*ln2^3*z2*z3 - 
    5880470400*ln2*z2^2*z3 - 368676000*ln2^2*z3^2 - 5571405000*z2*z3^2 + 
    546840000*ln2^3*z5 - 14911533000*ln2*z2*z5 + 6952018500*z3*z5 - 
    1458898875*ln2*z7)/56448000, H[-1, -1, 0, -1, 1, -1, 1, -1, 1] -> 
  (127008000*li4half^2 - 84672000*li8half - 1157184000*li7half*ln2 - 
    42336000*li6half*ln2^2 + 7056000*li4half*ln2^4 + 242200*ln2^8 + 
    150696000*ln2^2*s6 - 149184000*ln2*s7a + 330624000*ln2*s7b + 
    23851800*s8a + 114912000*s8b + 18144000*s8c + 3024000*s8d - 
    63504000*li4half*ln2^2*z2 + 1411200*ln2^6*z2 - 16632000*s6*z2 - 
    101001600*li4half*z2^2 - 41546400*ln2^4*z2^2 - 43192800*ln2^2*z2^3 + 
    42516468*z2^4 - 6048000*li5half*z3 + 232848000*li4half*ln2*z3 + 
    9135000*ln2^5*z3 - 41958000*ln2^3*z2*z3 - 191772000*ln2*z2^2*z3 - 
    197631000*ln2^2*z3^2 - 7654500*z2*z3^2 - 498991500*ln2^3*z5 - 
    938101500*ln2*z2*z5 - 39548250*z3*z5 + 2436816375*ln2*z7)/28224000, 
 H[-1, -1, 0, -1, 1, -1, 0, 1, 1] -> 
  (-338688000*li4half^2 - 18063360000*li8half - 5419008000*li7half*ln2 + 
    150528000*li5half*ln2^3 - 28224000*li4half*ln2^4 - 1215200*ln2^8 + 
    3728592000*ln2^2*s6 - 1320480000*ln2*s7a + 1530144000*ln2*s7b - 
    7219262925*s8a - 42701400000*s8b - 5098464000*s8c - 3650976000*s8d + 
    1524096000*li6half*z2 + 451584000*li5half*ln2*z2 + 
    310464000*li4half*ln2^2*z2 + 13798400*ln2^6*z2 + 12368160000*s6*z2 - 
    446544000*li4half*z2^2 - 79758000*ln2^4*z2^2 - 899858400*ln2^2*z2^3 + 
    918842112*z2^4 + 6906816000*li5half*z3 - 754992000*li4half*ln2*z3 - 
    89014800*ln2^5*z3 + 926604000*ln2^3*z2*z3 + 5264116200*ln2*z2^2*z3 - 
    1075630500*ln2^2*z3^2 + 5453563500*z2*z3^2 - 2834454000*ln2^3*z5 + 
    10691226000*ln2*z2*z5 - 6729195375*z3*z5 + 11863522125*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, 1, -1, 0, 0, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 + 
    40320000*ln2^2*s6 - 46368000*ln2*s7a + 47712000*ln2*s7b - 35908950*s8a - 
    213864000*s8b - 34944000*s8c - 21504000*s8d + 37632000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 47712000*s6*z2 + 
    16867200*li4half*z2^2 - 8509200*ln2^4*z2^2 + 5933200*ln2^2*z2^3 - 
    17995352*z2^4 + 90048000*li5half*z3 - 28224000*li4half*ln2*z3 - 
    1926400*ln2^5*z3 + 9268000*ln2^3*z2*z3 + 33906600*ln2*z2^2*z3 - 
    41433000*ln2^2*z3^2 + 23121000*z2*z3^2 - 91140000*ln2^3*z5 - 
    60606000*ln2*z2*z5 - 36141000*z3*z5 + 319144875*ln2*z7)/9408000, 
 H[-1, -1, 0, -1, 1, -1, 0, -1, 1] -> 
  (-197568000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 - 
    16464000*li4half*ln2^4 - 477400*ln2^8 - 1583904000*ln2^2*s6 + 
    289632000*ln2*s7a - 510048000*ln2*s7b + 3595162200*s8a + 
    21871920000*s8b + 2494464000*s8c + 2049600000*s8d + 28224000*li6half*z2 + 
    75264000*li5half*ln2*z2 + 131712000*li4half*ln2^2*z2 + 6154400*ln2^6*z2 - 
    6378288000*s6*z2 + 567974400*li4half*z2^2 - 23217600*ln2^4*z2^2 + 
    307412000*ln2^2*z2^3 - 678492768*z2^4 - 4136832000*li5half*z3 - 
    378672000*li4half*ln2*z3 + 18695600*ln2^5*z3 - 242424000*ln2^3*z2*z3 - 
    2624563200*ln2*z2^2*z3 + 23898000*ln2^2*z3^2 - 2722125000*z2*z3^2 + 
    774690000*ln2^3*z5 - 5963517000*ln2*z2*z5 + 3727636500*z3*z5 - 
    3882183375*ln2*z7)/18816000, H[-1, -1, 0, -1, 1, -1, -1, 1, 1] -> 
  (-9408000*li8half - 65856000*li7half*ln2 - 14112000*li6half*ln2^2 - 
    1568000*li5half*ln2^3 + 6300*ln2^8 - 6160000*ln2^2*s6 - 
    10080000*ln2*s7a + 4032000*ln2*s7b + 14622300*s8a + 110712000*s8b + 
    21504000*s8c + 4368000*s8d + 4704000*li6half*z2 + 
    4704000*li4half*ln2^2*z2 + 392000*ln2^6*z2 - 22848000*s6*z2 + 
    1579200*li4half*z2^2 - 2786000*ln2^4*z2^2 - 2455600*ln2^2*z2^3 + 
    9633648*z2^4 - 7560000*li5half*z3 - 5880000*li4half*ln2*z3 - 
    250600*ln2^5*z3 + 7700000*ln2^3*z2*z3 - 9571800*ln2*z2^2*z3 - 
    22827000*ln2^2*z3^2 - 8484000*z2*z3^2 - 10633000*ln2^3*z5 - 
    76797000*ln2*z2*z5 - 29746500*z3*z5 + 43430625*ln2*z7)/3136000, 
 H[-1, -1, 0, -1, 1, -1, -1, 0, 1] -> 
  (-28224000*li4half^2 - 4515840000*li8half + 112896000*li6half*ln2^2 - 
    2352000*li4half*ln2^4 - 4200*ln2^8 + 817824000*ln2^2*s6 - 
    83328000*ln2*s7a + 109536000*ln2*s7b - 1955072175*s8a - 12166392000*s8b - 
    1407840000*s8c - 1132320000*s8d + 84672000*li6half*z2 + 
    18816000*li5half*ln2*z2 + 18816000*li4half*ln2^2*z2 + 1528800*ln2^6*z2 + 
    3548832000*s6*z2 - 203884800*li4half*z2^2 + 23178400*ln2^4*z2^2 - 
    160507200*ln2^2*z2^3 + 234310512*z2^4 + 2259936000*li5half*z3 - 
    54096000*li4half*ln2*z3 - 21086800*ln2^5*z3 + 195972000*ln2^3*z2*z3 + 
    1589729400*ln2*z2^2*z3 + 60154500*ln2^2*z3^2 + 1457557500*z2*z3^2 - 
    186837000*ln2^3*z5 + 3877797000*ln2*z2*z5 - 1801954875*z3*z5 + 
    854986125*ln2*z7)/18816000, H[-1, -1, 0, -1, 1, -1, -1, -1, 1] -> 
  (-1935360*li4half^2 + 9031680*li8half + 8064000*li7half*ln2 + 
    1128960*li6half*ln2^2 + 215040*li5half*ln2^3 - 161280*li4half*ln2^4 - 
    4960*ln2^8 + 910080*ln2^2*s6 - 990720*ln2*s7a - 1716480*ln2*s7b + 
    1290240*li4half*ln2^2*z2 + 35168*ln2^6*z2 + 1548288*li4half*z2^2 + 
    14784*ln2^4*z2^2 - 503136*ln2^2*z2^3 - 1548288*z2^4 - 
    3709440*li4half*ln2*z3 - 147504*ln2^5*z3 + 856800*ln2^3*z2*z3 + 
    1863360*ln2*z2^2*z3 - 802440*ln2^2*z3^2 + 781200*ln2^3*z5 + 
    5064840*ln2*z2*z5 - 8731125*ln2*z7)/322560, 
 H[-1, -1, 0, -1, 0, 1, 1, 1, 1] -> 
  (-98784000*li4half^2 + 451584000*li8half + 338688000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 18816000*li5half*ln2^3 - 
    8232000*li4half*ln2^4 - 227500*ln2^8 + 25704000*ln2^2*s6 - 
    9072000*ln2*s7a - 72576000*ln2*s7b + 28187775*s8a + 509040000*s8b + 
    2016000*s8c + 89712000*s8d - 169344000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 2783200*ln2^6*z2 - 
    257040000*s6*z2 + 14414400*li4half*z2^2 - 9689400*ln2^4*z2^2 - 
    4443600*ln2^2*z2^3 - 17991396*z2^4 + 32256000*li5half*z3 - 
    84672000*li4half*ln2*z3 - 4620000*ln2^5*z3 + 42378000*ln2^3*z2*z3 + 
    31689000*ln2*z2^2*z3 - 20774250*ln2^2*z3^2 - 3055500*z2*z3^2 + 
    59241000*ln2^3*z5 + 243306000*ln2*z2*z5 - 62165250*z3*z5 - 
    715160250*ln2*z7)/28224000, H[-1, -1, 0, -1, 0, 1, 1, 0, 1] -> 
  (-1128960*li4half^2 - 94080*li4half*ln2^4 - 1960*ln2^8 + 766080*ln2^2*s6 - 
    2257920*ln2*s7a - 2257920*ln2*s7b + 1636740*s8a + 2338560*s8b + 
    2983680*s8c - 2983680*s8d + 2257920*li6half*z2 + 1128960*li5half*ln2*z2 + 
    564480*li4half*ln2^2*z2 + 17248*ln2^6*z2 + 6320160*s6*z2 + 
    2338560*li4half*z2^2 + 73920*ln2^4*z2^2 - 993048*ln2^2*z2^3 + 
    836208*z2^4 + 1733760*li5half*z3 - 3951360*li4half*ln2*z3 - 
    179088*ln2^5*z3 + 967680*ln2^3*z2*z3 + 2305296*ln2*z2^2*z3 - 
    3012660*ln2^2*z3^2 - 1825425*z2*z3^2 - 2093490*ln2*z2*z5 - 
    6108795*z3*z5 - 18458055*ln2*z7)/564480, 
 H[-1, -1, 0, -1, 0, 1, 1, -1, 1] -> 
  (-63504000*li4half^2 - 790272000*li8half - 169344000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 5292000*li4half*ln2^4 - 
    17850*ln2^8 + 58716000*ln2^2*s6 - 80136000*ln2*s7a - 104832000*ln2*s7b - 
    107279550*s8a - 1052856000*s8b - 10080000*s8c - 176904000*s8d + 
    56448000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 - 725200*ln2^6*z2 + 
    447300000*s6*z2 + 24595200*li4half*z2^2 + 13931400*ln2^4*z2^2 - 
    1142400*ln2^2*z2^3 + 91324962*z2^4 + 325584000*li5half*z3 - 
    160524000*li4half*ln2*z3 - 8990100*ln2^5*z3 + 43449000*ln2^3*z2*z3 + 
    231714000*ln2*z2^2*z3 - 86790375*ln2^2*z3^2 + 53203500*z2*z3^2 + 
    29620500*ln2^3*z5 + 321867000*ln2*z2*z5 - 208947375*z3*z5 - 
    738084375*ln2*z7)/14112000, H[-1, -1, 0, -1, 0, 1, 0, 1, 1] -> 
  (6451200*li4half^2 + 537600*li4half*ln2^4 + 11200*ln2^8 - 
    5414400*ln2^2*s6 + 5414400*ln2*s7a + 5414400*ln2*s7b + 1499400*s8a + 
    6451200*li6half*z2 + 3225600*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 
    253120*ln2^6*z2 + 1008000*s6*z2 - 6612480*li4half*z2^2 + 
    866880*ln2^4*z2^2 + 3177360*ln2^2*z2^3 - 560268*z2^4 - 
    2016000*li5half*z3 + 14112000*li4half*ln2*z3 + 604800*ln2^5*z3 - 
    6283200*ln2^3*z2*z3 - 9640800*ln2*z2^2*z3 + 7914600*ln2^2*z3^2 - 
    1505700*z2*z3^2 - 17026200*ln2*z2*z5 + 8197875*z3*z5 + 39132900*ln2*z7)/
   806400, H[-1, -1, 0, -1, 0, 1, 0, 0, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 - 
    10080000*ln2^2*s6 + 56448000*ln2*s7a + 56448000*ln2*s7b - 49732200*s8a - 
    46368000*s8b - 92736000*s8c + 92736000*s8d - 28224000*li4half*ln2^2*z2 - 
    1176000*ln2^6*z2 - 185472000*s6*z2 - 101404800*li4half*z2^2 - 
    697200*ln2^4*z2^2 + 41907600*ln2^2*z2^3 - 20381202*z2^4 - 
    143136000*li5half*z3 + 98784000*li4half*ln2*z3 + 5308800*ln2^5*z3 - 
    36624000*ln2^3*z2*z3 - 102564000*ln2*z2^2*z3 + 84924000*ln2^2*z3^2 + 
    69772500*z2*z3^2 + 126504000*ln2*z2*z5 + 188078625*z3*z5 + 
    413272125*ln2*z7)/14112000, H[-1, -1, 0, -1, 0, 1, 0, -1, 1] -> 
  (282240000*li4half^2 + 23520000*li4half*ln2^4 + 490000*ln2^8 - 
    150192000*ln2^2*s6 + 243936000*ln2*s7a + 243936000*ln2*s7b - 
    95426100*s8a - 114912000*s8b - 187488000*s8c + 187488000*s8d + 
    56448000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    141120000*li4half*ln2^2*z2 - 6036800*ln2^6*z2 - 366156000*s6*z2 - 
    198525600*li4half*z2^2 + 10544100*ln2^4*z2^2 + 97045200*ln2^2*z2^3 - 
    76524876*z2^4 - 389088000*li5half*z3 + 493920000*li4half*ln2*z3 + 
    23822400*ln2^5*z3 - 160020000*ln2^3*z2*z3 - 314174700*ln2*z2^2*z3 + 
    323568000*ln2^2*z3^2 + 124684875*z2*z3^2 - 163910250*ln2*z2*z5 + 
    467483625*z3*z5 + 1902080250*ln2*z7)/14112000, 
 H[-1, -1, 0, -1, 0, 1, -1, 1, 1] -> 
  (254016000*li4half^2 + 225792000*li8half - 1580544000*li7half*ln2 - 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 - 259000*ln2^8 + 451584000*ln2^2*s6 - 
    231840000*ln2*s7a + 487872000*ln2*s7b + 52382925*s8a + 1124424000*s8b - 
    227808000*s8c + 411264000*s8d + 677376000*li6half*z2 + 
    70560000*li4half*ln2^2*z2 + 7330400*ln2^6*z2 - 766080000*s6*z2 - 
    88502400*li4half*z2^2 - 99296400*ln2^4*z2^2 - 210000000*ln2^2*z2^3 - 
    258404472*z2^4 - 850752000*li5half*z3 + 84672000*li4half*ln2*z3 + 
    12264000*ln2^5*z3 + 13776000*ln2^3*z2*z3 - 328368600*ln2*z2^2*z3 - 
    252252000*ln2^2*z3^2 - 34209000*z2*z3^2 - 756462000*ln2^3*z5 - 
    772191000*ln2*z2*z5 + 962521875*z3*z5 + 4236120000*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, 0, 1, -1, 0, 1] -> 
  (-96768000*ln2^2*s6 + 116928000*ln2*s7a + 116928000*ln2*s7b - 
    194296725*s8a - 1512504000*s8b - 40320000*s8c - 298368000*s8d - 
    112896000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2038400*ln2^6*z2 + 804888000*s6*z2 - 
    136584000*li4half*z2^2 + 6069000*ln2^4*z2^2 + 3208800*ln2^2*z2^3 + 
    111312324*z2^4 + 610848000*li5half*z3 + 437472000*li4half*ln2*z3 + 
    13137600*ln2^5*z3 - 50232000*ln2^3*z2*z3 - 34259400*ln2*z2^2*z3 + 
    158886000*ln2^2*z3^2 + 106643250*z2*z3^2 - 165406500*ln2*z2*z5 - 
    680116500*z3*z5 + 745006500*ln2*z7)/28224000, 
 H[-1, -1, 0, -1, 0, 1, -1, -1, 1] -> 
  (1016064000*li4half^2 + 2032128000*li8half + 1580544000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 94080000*li4half*ln2^4 + 2206400*ln2^8 - 
    915264000*ln2^2*s6 + 909216000*ln2*s7a + 415296000*ln2*s7b + 
    84796425*s8a + 1025640000*s8b - 2016000*s8c + 129024000*s8d - 
    776160000*li4half*ln2^2*z2 - 34221600*ln2^6*z2 - 321552000*s6*z2 - 
    799747200*li4half*z2^2 + 121203600*ln2^4*z2^2 + 393456000*ln2^2*z2^3 - 
    61075872*z2^4 - 258048000*li5half*z3 + 2067408000*li4half*ln2*z3 + 
    86646000*ln2^5*z3 - 660072000*ln2^3*z2*z3 - 1032154200*ln2*z2^2*z3 + 
    1146726000*ln2^2*z3^2 - 30460500*z2*z3^2 + 478485000*ln2^3*z5 - 
    1198449000*ln2*z2*z5 - 44391375*z3*z5 + 2411403750*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, 0, 0, 1, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    10920000*ln2^2*s6 + 8064000*ln2*s7a - 20160000*ln2*s7b + 31676925*s8a + 
    178080000*s8b + 22176000*s8c + 17808000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 69720000*s6*z2 + 14145600*li4half*z2^2 - 
    2056600*ln2^4*z2^2 - 431200*ln2^2*z2^3 + 1230168*z2^4 - 
    54432000*li5half*z3 - 32928000*li4half*ln2*z3 - 918400*ln2^5*z3 + 
    9870000*ln2^3*z2*z3 - 13855800*ln2*z2^2*z3 - 5202750*ln2^2*z3^2 - 
    7591500*z2*z3^2 + 25823000*ln2^3*z5 + 9523500*ln2*z2*z5 + 
    20073375*z3*z5 - 131158125*ln2*z7)/4704000, 
 H[-1, -1, 0, -1, 0, 0, 1, 0, 1] -> 
  (6720000*ln2^2*s6 - 18563475*s8a - 13776000*s8b - 13440000*s8c + 
    13440000*s8d - 18648000*s6*z2 + 19622400*li4half*z2^2 + 
    817600*ln2^4*z2^2 - 7114800*ln2^2*z2^3 - 11289496*z2^4 + 
    10752000*li5half*z3 - 89600*ln2^5*z3 + 896000*ln2^3*z2*z3 + 
    28450800*ln2*z2^2*z3 + 2331000*ln2^2*z3^2 + 1370250*z2*z3^2 + 
    23562000*ln2*z2*z5 + 1107750*z3*z5 + 34765500*ln2*z7)/4704000, 
 H[-1, -1, 0, -1, 0, 0, 1, -1, 1] -> 
  (129024000*ln2^2*s6 - 67200000*ln2*s7a - 10752000*ln2*s7b - 145987275*s8a - 
    699216000*s8b - 100128000*s8c - 73920000*s8d - 56448000*li5half*ln2*z2 + 
    470400*ln2^6*z2 + 234864000*s6*z2 - 1377600*li4half*z2^2 - 
    4761400*ln2^4*z2^2 - 59928400*ln2^2*z2^3 - 2184264*z2^4 + 
    185472000*li5half*z3 - 49392000*li4half*ln2*z3 - 3603600*ln2^5*z3 + 
    36624000*ln2^3*z2*z3 + 168835800*ln2*z2^2*z3 - 69552000*ln2^2*z3^2 + 
    107656500*z2*z3^2 - 44051000*ln2^3*z5 + 314401500*ln2*z2*z5 - 
    288442875*z3*z5 + 32691750*ln2*z7)/9408000, 
 H[-1, -1, 0, -1, 0, 0, 0, 1, 1] -> (16128000*ln2^2*s6 - 13440000*ln2*s7a + 
    5376000*ln2*s7b - 15834525*s8a - 176736000*s8b - 5376000*s8c - 
    32256000*s8d + 109200000*s6*z2 - 12096000*li4half*z2^2 - 
    504000*ln2^4*z2^2 - 2758000*ln2^2*z2^3 + 6414416*z2^4 + 
    45696000*li5half*z3 - 380800*ln2^5*z3 + 3808000*ln2^3*z2*z3 + 
    11692800*ln2*z2^2*z3 - 13692000*ln2^2*z3^2 - 5449500*z2*z3^2 - 
    24304000*ln2^3*z5 - 26124000*ln2*z2*z5 - 7006125*z3*z5 + 32017125*ln2*z7)/
   4704000, H[-1, -1, 0, -1, 0, 0, 0, 0, 1] -> 
  (41475*s8a + 2688000*s8b + 186000*ln2^2*z2^3 + 690676*z2^4 - 
    235200*ln2*z2^2*z3 + 168000*z2*z3^2 - 672000*ln2*z2*z5 - 3530625*z3*z5 - 
    3696000*ln2*z7)/336000, H[-1, -1, 0, -1, 0, 0, 0, -1, 1] -> 
  (-28896000*ln2^2*s6 + 13440000*ln2*s7a - 5376000*ln2*s7b + 48656475*s8a + 
    285936000*s8b + 30912000*s8c + 25536000*s8d - 71064000*s6*z2 + 
    168000*li4half*z2^2 + 7000*ln2^4*z2^2 + 12056800*ln2^2*z2^3 + 
    11434636*z2^4 - 65184000*li5half*z3 + 543200*ln2^5*z3 - 
    5432000*ln2^3*z2*z3 - 45616200*ln2*z2^2*z3 + 10101000*ln2^2*z3^2 - 
    39243750*z2*z3^2 + 18228000*ln2^3*z5 - 89292000*ln2*z2*z5 + 
    63745500*z3*z5 - 153365625*ln2*z7)/4704000, 
 H[-1, -1, 0, -1, 0, 0, -1, 1, 1] -> 
  (-5644800*li4half^2 - 470400*li4half*ln2^4 - 9800*ln2^8 - 
    4368000*ln2^2*s6 - 6182400*ln2*s7a + 9811200*ln2*s7b - 1306725*s8a - 
    66124800*s8b + 3225600*s8c - 14515200*s8d + 11289600*li5half*ln2*z2 + 
    2822400*li4half*ln2^2*z2 + 23520*ln2^6*z2 + 42672000*s6*z2 - 
    1774080*li4half*z2^2 + 514080*ln2^4*z2^2 + 4757200*ln2^2*z2^3 + 
    1678416*z2^4 + 16800000*li5half*z3 - 140000*ln2^5*z3 - 
    364000*ln2^3*z2*z3 - 3678360*ln2*z2^2*z3 - 3874500*ln2^2*z3^2 - 
    3786300*z2*z3^2 - 16405200*ln2^3*z5 - 42216300*ln2*z2*z5 + 
    2274300*z3*z5 + 52311000*ln2*z7)/1881600, 
 H[-1, -1, 0, -1, 0, 0, -1, 0, 1] -> 
  (1344000*ln2^2*s6 - 3054975*s8a + 7056000*s8b - 2688000*s8c + 2688000*s8d - 
    6552000*s6*z2 + 2654400*li4half*z2^2 + 110600*ln2^4*z2^2 - 
    772800*ln2^2*z2^3 - 170516*z2^4 - 1344000*li5half*z3 + 11200*ln2^5*z3 - 
    112000*ln2^3*z2*z3 + 3154200*ln2*z2^2*z3 + 1050000*ln2^2*z3^2 + 
    3491250*z2*z3^2 + 6552000*ln2*z2*z5 - 10733625*z3*z5 - 6300000*ln2*z7)/
   672000, H[-1, -1, 0, -1, 0, 0, -1, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    52416000*ln2^2*s6 + 44352000*ln2*s7a - 35616000*ln2*s7b + 99174075*s8a + 
    684264000*s8b + 49056000*s8c + 92064000*s8d + 14112000*li4half*ln2^2*z2 + 
    588000*ln2^6*z2 - 254688000*s6*z2 + 39580800*li4half*z2^2 - 
    114800*ln2^4*z2^2 + 12426400*ln2^2*z2^3 + 722712*z2^4 - 
    188832000*li5half*z3 - 49392000*li4half*ln2*z3 - 484400*ln2^5*z3 - 
    3388000*ln2^3*z2*z3 - 70841400*ln2*z2^2*z3 + 31416000*ln2^2*z3^2 - 
    66706500*z2*z3^2 + 77469000*ln2^3*z5 - 40047000*ln2*z2*z5 + 
    176048250*z3*z5 - 401819250*ln2*z7)/9408000, 
 H[-1, -1, 0, -1, 0, -1, 1, 1, 1] -> 
  (-423360000*li4half^2 - 1128960000*li8half - 451584000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 75264000*li5half*ln2^3 - 
    25872000*li4half*ln2^4 - 124600*ln2^8 - 228816000*ln2^2*s6 - 
    24192000*ln2*s7a - 179424000*ln2*s7b - 2223900*s8a - 1362816000*s8b + 
    322560000*s8c - 562464000*s8d + 338688000*li6half*z2 + 
    338688000*li5half*ln2*z2 + 225792000*li4half*ln2^2*z2 + 
    4390400*ln2^6*z2 + 1266048000*s6*z2 + 144345600*li4half*z2^2 + 
    21184800*ln2^4*z2^2 + 3242400*ln2^2*z2^3 + 258183936*z2^4 + 
    504000000*li5half*z3 - 493920000*li4half*ln2*z3 - 24780000*ln2^5*z3 + 
    154896000*ln2^3*z2*z3 + 131695200*ln2*z2^2*z3 - 207459000*ln2^2*z3^2 + 
    49140000*z2*z3^2 + 173166000*ln2^3*z5 - 476784000*ln2*z2*z5 - 
    1014536250*z3*z5 - 962710875*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, 0, -1, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 + 
    68544000*ln2^2*s6 + 52416000*ln2*s7a + 52416000*ln2*s7b + 9550800*s8a + 
    1424304000*s8b - 241920000*s8c + 580608000*s8d - 169344000*li6half*z2 - 
    56448000*li5half*ln2*z2 + 235200*ln2^6*z2 - 1397592000*s6*z2 + 
    125294400*li4half*z2^2 - 3011400*ln2^4*z2^2 + 44436000*ln2^2*z2^3 - 
    196469172*z2^4 - 850752000*li5half*z3 - 141120000*li4half*ln2*z3 + 
    1209600*ln2^5*z3 - 35616000*ln2^3*z2*z3 - 27833400*ln2*z2^2*z3 + 
    88074000*ln2^2*z3^2 + 55975500*z2*z3^2 + 492187500*ln2*z2*z5 + 
    1061250750*z3*z5 + 489958875*ln2*z7)/28224000, 
 H[-1, -1, 0, -1, 0, -1, 1, -1, 1] -> 
  (3386880000*li8half + 451584000*li7half*ln2 + 338688000*li6half*ln2^2 + 
    112896000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 868000*ln2^8 + 
    474768000*ln2^2*s6 - 314496000*ln2*s7a + 66528000*ln2*s7b + 
    375681600*s8a + 4404960000*s8b + 4032000*s8c + 715680000*s8d - 
    338688000*li5half*ln2*z2 + 310464000*li4half*ln2^2*z2 + 
    19992000*ln2^6*z2 - 1791216000*s6*z2 + 202406400*li4half*z2^2 - 
    145387200*ln2^4*z2^2 - 306650400*ln2^2*z2^3 - 409526424*z2^4 - 
    1262016000*li5half*z3 - 472752000*li4half*ln2*z3 - 9181200*ln2^5*z3 + 
    267036000*ln2^3*z2*z3 - 200163600*ln2*z2^2*z3 - 448812000*ln2^2*z3^2 - 
    182511000*z2*z3^2 - 382788000*ln2^3*z5 - 178416000*ln2*z2*z5 + 
    454261500*z3*z5 + 395584875*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, 0, -1, 0, 1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 + 
    1344000*ln2^2*s6 + 5376000*ln2*s7b - 4137525*s8a - 52248000*s8b - 
    2688000*s8c - 8064000*s8d - 16128000*li6half*z2 - 
    5376000*li5half*ln2*z2 - 8064000*li4half*ln2^2*z2 - 313600*ln2^6*z2 + 
    23184000*s6*z2 - 8769600*li4half*z2^2 + 1034600*ln2^4*z2^2 + 
    2822400*ln2^2*z2^3 + 3146256*z2^4 + 19488000*li5half*z3 + 
    18816000*li4half*ln2*z3 + 621600*ln2^5*z3 - 6608000*ln2^3*z2*z3 - 
    2003400*ln2*z2^2*z3 + 5670000*ln2^2*z3^2 - 2205000*z2*z3^2 - 
    6944000*ln2^3*z5 - 16443000*ln2*z2*z5 + 5874750*z3*z5 + 42443625*ln2*z7)/
   1344000, H[-1, -1, 0, -1, 0, -1, 0, 0, 1] -> 
  (3360000*ln2^2*s6 - 3914400*s8a + 28392000*s8b - 6720000*s8c + 
    6720000*s8d - 13440000*s6*z2 - 13473600*li4half*z2^2 - 
    561400*ln2^4*z2^2 + 6241200*ln2^2*z2^3 + 10836696*z2^4 - 
    27552000*li5half*z3 + 229600*ln2^5*z3 - 2296000*ln2^3*z2*z3 - 
    19702200*ln2*z2^2*z3 + 5649000*ln2^2*z3^2 + 17829000*z2*z3^2 + 
    15456000*ln2*z2*z5 - 37629375*z3*z5 - 46158000*ln2*z7)/4704000, 
 H[-1, -1, 0, -1, 0, -1, 0, -1, 1] -> 
  (8064000*li4half^2 + 672000*li4half*ln2^4 + 14000*ln2^8 - 
    10752000*ln2^2*s6 + 10752000*ln2*s7a + 5376000*ln2*s7b + 7745850*s8a + 
    79128000*s8b + 16128000*s8d - 8064000*li6half*z2 - 
    2688000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 156800*ln2^6*z2 - 
    40824000*s6*z2 - 3326400*li4half*z2^2 + 309400*ln2^4*z2^2 + 
    6002400*ln2^2*z2^3 + 1125096*z2^4 - 30912000*li5half*z3 + 
    14112000*li4half*ln2*z3 + 845600*ln2^5*z3 - 6104000*ln2^3*z2*z3 - 
    18912600*ln2*z2^2*z3 + 13440000*ln2^2*z3^2 - 3601500*z2*z3^2 + 
    5208000*ln2^3*z5 - 19897500*ln2*z2*z5 + 28171500*z3*z5 + 11232375*ln2*z7)/
   1344000, H[-1, -1, 0, -1, 0, -1, -1, 1, 1] -> 
  (-7056000*li4half^2 + 112896000*li7half*ln2 + 28224000*li6half*ln2^2 - 
    588000*li4half*ln2^4 + 4550*ln2^8 - 31668000*ln2^2*s6 + 
    17472000*ln2*s7a - 8400000*ln2*s7b + 20302275*s8a - 61068000*s8b + 
    15456000*s8c - 15456000*s8d - 56448000*li6half*z2 - 
    15288000*li4half*ln2^2*z2 - 833000*ln2^6*z2 + 27384000*s6*z2 - 
    3444000*li4half*z2^2 + 7294700*ln2^4*z2^2 + 26525800*ln2^2*z2^3 + 
    1130064*z2^4 + 30912000*li5half*z3 + 22344000*li4half*ln2*z3 + 
    673400*ln2^5*z3 - 23296000*ln2^3*z2*z3 - 16638300*ln2*z2^2*z3 + 
    36461250*ln2^2*z3^2 - 26328750*z2*z3^2 + 25063500*ln2^3*z5 - 
    20884500*ln2*z2*z5 + 90176625*z3*z5 - 89502000*ln2*z7)/4704000, 
 H[-1, -1, 0, -1, 0, -1, -1, 0, 1] -> 
  (15456000*ln2^2*s6 - 40604550*s8a + 122136000*s8b - 30912000*s8c + 
    30912000*s8d + 56448000*li6half*z2 + 18816000*li5half*ln2*z2 - 
    78400*ln2^6*z2 - 58296000*s6*z2 + 9710400*li4half*z2^2 + 
    796600*ln2^4*z2^2 - 1607200*ln2^2*z2^3 + 10427232*z2^4 - 
    66528000*li5half*z3 + 554400*ln2^5*z3 - 5544000*ln2^3*z2*z3 - 
    1230600*ln2*z2^2*z3 + 18459000*ln2^2*z3^2 + 57361500*z2*z3^2 + 
    87370500*ln2*z2*z5 - 179011875*z3*z5 - 171108000*ln2*z7)/9408000, 
 H[-1, -1, 0, -1, 0, -1, -1, -1, 1] -> 
  (42336000*li4half^2 - 1128960000*li8half - 677376000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 101500*ln2^8 - 36792000*ln2^2*s6 + 
    120960000*ln2*s7a + 163296000*ln2*s7b - 93217950*s8a - 73584000*s8b - 
    189504000*s8c + 189504000*s8d - 21168000*li4half*ln2^2*z2 - 
    960400*ln2^6*z2 - 379008000*s6*z2 + 4032000*li4half*z2^2 + 
    2814000*ln2^4*z2^2 + 51391200*ln2^2*z2^3 + 52576848*z2^4 - 
    379008000*li5half*z3 + 74088000*li4half*ln2*z3 + 6245400*ln2^5*z3 - 
    50106000*ln2^3*z2*z3 - 120078000*ln2*z2^2*z3 + 148081500*ln2^2*z3^2 + 
    121401000*z2*z3^2 - 61519500*ln2^3*z5 + 87507000*ln2*z2*z5 + 
    443819250*z3*z5 + 829339875*ln2*z7)/28224000, 
 H[-1, -1, 0, -1, -1, 1, 1, 1, 1] -> 
  (-9072000*li4half^2 - 36288000*li7half*ln2 + 6048000*li6half*ln2^2 + 
    2352000*li5half*ln2^3 - 504000*li4half*ln2^4 - 9250*ln2^8 + 
    15192000*ln2^2*s6 - 9144000*ln2*s7a + 7488000*ln2*s7b - 12327525*s8a - 
    44604000*s8b - 9072000*s8c - 1512000*s8d + 3024000*li6half*z2 - 
    6048000*li5half*ln2*z2 + 2016000*li4half*ln2^2*z2 + 183400*ln2^6*z2 + 
    11340000*s6*z2 + 1814400*li4half*z2^2 - 1627500*ln2^4*z2^2 - 
    7675200*ln2^2*z2^3 - 495234*z2^4 + 13356000*li5half*z3 - 
    5040000*li4half*ln2*z3 - 321300*ln2^5*z3 + 3885000*ln2^3*z2*z3 + 
    10548000*ln2*z2^2*z3 - 11548125*ln2^2*z3^2 + 8646750*z2*z3^2 - 
    16437750*ln2^3*z5 + 6165000*ln2*z2*z5 - 22601250*z3*z5 + 63505125*ln2*z7)/
   2016000, H[-1, -1, 0, -1, -1, 1, 1, 0, 1] -> 
  (-84672000*li4half^2 - 4515840000*li8half + 112896000*li6half*ln2^2 - 
    7056000*li4half*ln2^4 - 102200*ln2^8 + 585144000*ln2^2*s6 - 
    106848000*ln2*s7a - 64512000*ln2*s7b - 1324526175*s8a - 8617392000*s8b - 
    921312000*s8c - 772128000*s8d + 112896000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 77616000*li4half*ln2^2*z2 + 3939600*ln2^6*z2 + 
    2408616000*s6*z2 - 4132800*li4half*z2^2 + 10823400*ln2^4*z2^2 - 
    59371200*ln2^2*z2^3 + 245117592*z2^4 + 1389024000*li5half*z3 - 
    321048000*li4half*ln2*z3 - 24952200*ln2^5*z3 + 196014000*ln2^3*z2*z3 + 
    1159288200*ln2*z2^2*z3 - 13592250*ln2^2*z3^2 + 1003873500*z2*z3^2 - 
    41013000*ln2^3*z5 + 2992689000*ln2*z2*z5 - 886000500*z3*z5 - 
    523947375*ln2*z7)/28224000, H[-1, -1, 0, -1, -1, 1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 282240000*li8half + 263424000*li7half*ln2 - 
    75264000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 
    238000*ln2^8 - 156240000*ln2^2*s6 - 13440000*ln2*s7a - 
    149856000*ln2*s7b + 320006925*s8a + 1744344000*s8b + 235872000*s8c + 
    159264000*s8d + 56448000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 
    2783200*ln2^6*z2 - 516096000*s6*z2 + 113702400*li4half*z2^2 + 
    5051200*ln2^4*z2^2 + 58178400*ln2^2*z2^3 - 24636312*z2^4 - 
    346752000*li5half*z3 - 254016000*li4half*ln2*z3 - 7694400*ln2^5*z3 + 
    32844000*ln2^3*z2*z3 - 120359400*ln2*z2^2*z3 - 31594500*ln2^2*z3^2 - 
    249889500*z2*z3^2 + 136710000*ln2^3*z5 - 276822000*ln2*z2*z5 + 
    431321625*z3*z5 - 1255923375*ln2*z7)/18816000, 
 H[-1, -1, 0, -1, -1, 1, 0, 1, 1] -> 
  (254016000*li4half^2 + 4515840000*li8half + 1354752000*li7half*ln2 - 
    37632000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 597800*ln2^8 - 
    814968000*ln2^2*s6 + 322560000*ln2*s7a - 114912000*ln2*s7b + 
    1383113025*s8a + 8462160000*s8b + 949536000*s8c + 687456000*s8d - 
    338688000*li6half*z2 + 56448000*li5half*ln2*z2 - 
    112896000*li4half*ln2^2*z2 - 6272000*ln2^6*z2 - 2408616000*s6*z2 - 
    84772800*li4half*z2^2 + 23221800*ln2^4*z2^2 + 239719200*ln2^2*z2^3 - 
    220433436*z2^4 - 1381968000*li5half*z3 + 419832000*li4half*ln2*z3 + 
    29009400*ln2^5*z3 - 275688000*ln2^3*z2*z3 - 1188054000*ln2*z2^2*z3 + 
    306164250*ln2^2*z3^2 - 985461750*z2*z3^2 + 435193500*ln2^3*z5 - 
    2507526000*ln2*z2*z5 + 1007551125*z3*z5 - 1419051375*ln2*z7)/28224000, 
 H[-1, -1, 0, -1, -1, 1, 0, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    81648000*ln2^2*s6 + 133056000*ln2*s7a - 8064000*ln2*s7b - 51965550*s8a - 
    44352000*s8b - 32256000*s8c + 32256000*s8d - 56448000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 2469600*ln2^6*z2 - 68040000*s6*z2 - 
    162892800*li4half*z2^2 + 14968800*ln2^4*z2^2 + 37405200*ln2^2*z2^3 + 
    41323512*z2^4 - 8064000*li5half*z3 + 317520000*li4half*ln2*z3 + 
    13297200*ln2^5*z3 - 80052000*ln2^3*z2*z3 - 94915800*ln2*z2^2*z3 + 
    179896500*ln2^2*z3^2 + 54951750*z2*z3^2 + 136710000*ln2^3*z5 + 
    146695500*ln2*z2*z5 - 88176375*z3*z5 - 37800000*ln2*z7)/28224000, 
 H[-1, -1, 0, -1, -1, 1, 0, -1, 1] -> 
  (211680000*li4half^2 - 2257920000*li8half - 451584000*li7half*ln2 + 
    17640000*li4half*ln2^4 + 401100*ln2^8 + 246120000*ln2^2*s6 + 
    55104000*ln2*s7a + 163296000*ln2*s7b - 794019975*s8a - 4975824000*s8b - 
    553056000*s8c - 434784000*s8d + 9408000*li5half*ln2*z2 - 
    108192000*li4half*ln2^2*z2 - 4900000*ln2^6*z2 + 1345848000*s6*z2 - 
    259123200*li4half*z2^2 + 11802000*ln2^4*z2^2 - 6036800*ln2^2*z2^3 + 
    166575504*z2^4 + 864864000*li5half*z3 + 372792000*li4half*ln2*z3 + 
    8325800*ln2^5*z3 - 21126000*ln2^3*z2*z3 + 438744600*ln2*z2^2*z3 + 
    137208750*ln2^2*z3^2 + 607876500*z2*z3^2 - 104811000*ln2^3*z5 + 
    1174414500*ln2*z2*z5 - 616373625*z3*z5 + 1443965250*ln2*z7)/9408000, 
 H[-1, -1, 0, -1, -1, 1, -1, 1, 1] -> 
  (-169344000*li8half + 248371200*li7half*ln2 - 11289600*li6half*ln2^2 - 
    5644800*li5half*ln2^3 - 2822400*li4half*ln2^4 - 139720*ln2^8 + 
    8870400*ln2^2*s6 + 43142400*ln2*s7a - 27417600*ln2*s7b - 88088175*s8a - 
    583329600*s8b - 78624000*s8c - 48384000*s8d + 16934400*li6half*z2 - 
    823200*ln2^6*z2 + 156038400*s6*z2 - 13910400*li4half*z2^2 + 
    11686080*ln2^4*z2^2 + 15099840*ln2^2*z2^3 - 6508728*z2^4 + 
    101001600*li5half*z3 + 4233600*li4half*ln2*z3 - 665280*ln2^5*z3 - 
    16984800*ln2^3*z2*z3 + 73727640*ln2*z2^2*z3 + 73495800*ln2^2*z3^2 + 
    62407800*z2*z3^2 + 60152400*ln2^3*z5 + 318616200*ln2*z2*z5 - 
    22741425*z3*z5 - 259915950*ln2*z7)/11289600, 
 H[-1, -1, 0, -1, -1, 1, -1, 0, 1] -> 
  (84672000*li4half^2 + 4515840000*li8half - 112896000*li6half*ln2^2 + 
    7056000*li4half*ln2^4 + 102200*ln2^8 - 698544000*ln2^2*s6 + 
    100800000*ln2*s7a + 11424000*ln2*s7b + 1597940400*s8a + 10099824000*s8b + 
    1134336000*s8c + 897792000*s8d - 112896000*li6half*z2 - 
    37632000*li5half*ln2*z2 - 84672000*li4half*ln2^2*z2 - 4155200*ln2^6*z2 - 
    2818704000*s6*z2 + 100531200*li4half*z2^2 - 12000800*ln2^4*z2^2 + 
    109855200*ln2^2*z2^3 - 227347296*z2^4 - 1786176000*li5half*z3 + 
    275184000*li4half*ln2*z3 + 26350800*ln2^5*z3 - 217644000*ln2^3*z2*z3 - 
    1385504400*ln2*z2^2*z3 + 2058000*ln2^2*z3^2 - 1196569500*z2*z3^2 + 
    86583000*ln2^3*z5 - 3438036000*ln2*z2*z5 + 1236054750*z3*z5 - 
    20446125*ln2*z7)/18816000, H[-1, -1, 0, -1, -1, 1, -1, -1, 1] -> 
  (2419200*li4half^2 - 2419200*li7half*ln2 + 235200*li4half*ln2^4 + 
    6080*ln2^8 - 1152000*ln2^2*s6 + 1152000*ln2*s7a + 1555200*ln2*s7b - 
    1612800*li4half*ln2^2*z2 - 60480*ln2^6*z2 - 1935360*li4half*z2^2 + 
    73920*ln2^4*z2^2 + 517920*ln2^2*z2^3 + 387072*z2^4 + 
    4636800*li4half*ln2*z3 + 193200*ln2^5*z3 - 1159200*ln2^3*z2*z3 - 
    2185920*ln2*z2^2*z3 + 1440000*ln2^2*z3^2 - 390600*ln2^3*z5 - 
    4581000*ln2*z2*z5 + 11392875*ln2*z7)/134400, 
 H[-1, -1, 0, -1, -1, 0, 1, 1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 3096000*ln2^2*s6 + 
    2592000*ln2*s7a - 3456000*ln2*s7b + 8218350*s8a + 29736000*s8b + 
    6048000*s8c + 1008000*s8d - 1008000*li4half*ln2^2*z2 - 42000*ln2^6*z2 - 
    8568000*s6*z2 - 302400*li4half*z2^2 + 113400*ln2^4*z2^2 + 
    729600*ln2^2*z2^3 + 279216*z2^4 - 10080000*li5half*z3 - 
    504000*li4half*ln2*z3 + 63000*ln2^5*z3 - 714000*ln2^3*z2*z3 - 
    5898600*ln2*z2^2*z3 + 1449750*ln2^2*z3^2 - 4504500*z2*z3^2 + 
    4557000*ln2^3*z5 - 2920500*ln2*z2*z5 + 12552750*z3*z5 - 18475875*ln2*z7)/
   1344000, H[-1, -1, 0, -1, -1, 0, 1, 0, 1] -> 
  (-2257920*li4half^2 - 188160*li4half*ln2^4 - 3920*ln2^8 + 994560*ln2^2*s6 - 
    1380750*s8a - 712320*s8b - 1989120*s8c + 1989120*s8d + 
    1128960*li4half*ln2^2*z2 + 47040*ln2^6*z2 - 3272640*s6*z2 + 
    1837248*li4half*z2^2 - 64568*ln2^4*z2^2 - 448000*ln2^2*z2^3 - 
    1201668*z2^4 + 537600*li5half*z3 - 1693440*li4half*ln2*z3 - 
    75040*ln2^5*z3 + 468160*ln2^3*z2*z3 + 1846488*ln2*z2^2*z3 + 
    179760*ln2^2*z3^2 + 840630*z2*z3^2 + 4756080*ln2*z2*z5 + 770175*z3*z5 + 
    2259390*ln2*z7)/376320, H[-1, -1, 0, -1, -1, 0, 1, -1, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 + 
    33684000*ln2^2*s6 - 24528000*ln2*s7a - 3360000*ln2*s7b - 25606350*s8a - 
    75600000*s8b - 31248000*s8c + 13608000*s8d - 42336000*li5half*ln2*z2 + 
    11760000*li4half*ln2^2*z2 + 842800*ln2^6*z2 - 18396000*s6*z2 + 
    45057600*li4half*z2^2 - 1062600*ln2^4*z2^2 - 22512000*ln2^2*z2^3 - 
    19288926*z2^4 + 1008000*li5half*z3 - 77028000*li4half*ln2*z3 - 
    3217900*ln2^5*z3 + 19341000*ln2^3*z2*z3 + 46647300*ln2*z2^2*z3 - 
    23601375*ln2^2*z3^2 + 24428250*z2*z3^2 - 14810250*ln2^3*z5 + 
    128199750*ln2*z2*z5 - 5425875*z3*z5 + 22010625*ln2*z7)/4704000, 
 H[-1, -1, 0, -1, -1, 0, 0, 1, 1] -> 
  (-5040000*ln2*s7a - 7392000*ln2*s7b + 3747450*s8a + 17388000*s8b + 
    10080000*s8c - 5376000*s8d + 3528000*li4half*ln2^2*z2 + 147000*ln2^6*z2 + 
    16044000*s6*z2 + 688800*li4half*z2^2 - 853300*ln2^4*z2^2 - 
    1612800*ln2^2*z2^3 + 5891262*z2^4 - 3360000*li5half*z3 - 
    11172000*li4half*ln2*z3 - 437500*ln2^5*z3 + 5600000*ln2^3*z2*z3 + 
    1308300*ln2*z2^2*z3 - 9371250*ln2^2*z3^2 - 7909125*z2*z3^2 + 
    3038000*ln2^3*z5 - 19036500*ln2*z2*z5 - 4202625*z3*z5 - 56020125*ln2*z7)/
   2352000, H[-1, -1, 0, -1, -1, 0, 0, 0, 1] -> 
  (-2688000*ln2^2*s6 + 8660925*s8a + 7392000*s8b + 5376000*s8c - 
    5376000*s8d + 10752000*s6*z2 + 3864000*li4half*z2^2 + 161000*ln2^4*z2^2 - 
    2002000*ln2^2*z2^3 + 76628*z2^4 + 10752000*li5half*z3 - 89600*ln2^5*z3 + 
    896000*ln2^3*z2*z3 + 315000*ln2*z2^2*z3 - 3108000*ln2^2*z3^2 - 
    6678000*z2*z3^2 - 14952000*ln2*z2*z5 - 3651375*z3*z5 - 2940000*ln2*z7)/
   4704000, H[-1, -1, 0, -1, -1, 0, 0, -1, 1] -> 
  (5880000*ln2^2*s6 - 8736000*ln2*s7a - 4032000*ln2*s7b - 4271925*s8a - 
    27132000*s8b + 5712000*s8c - 19824000*s8d + 55524000*s6*z2 - 
    2200800*li4half*z2^2 - 91700*ln2^4*z2^2 - 3595200*ln2^2*z2^3 + 
    13463802*z2^4 + 18480000*li5half*z3 - 10584000*li4half*ln2*z3 - 
    595000*ln2^5*z3 + 4186000*ln2^3*z2*z3 + 9231600*ln2*z2^2*z3 - 
    12017250*ln2^2*z3^2 - 3420375*z2*z3^2 - 4557000*ln2^3*z5 - 
    16023000*ln2*z2*z5 - 48612375*z3*z5 - 100907625*ln2*z7)/4704000, 
 H[-1, -1, 0, -1, -1, 0, -1, 1, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    15792000*ln2^2*s6 - 38976000*ln2*s7a + 31584000*ln2*s7b - 70767900*s8a - 
    469728000*s8b + 20160000*s8c - 133056000*s8d + 169344000*li5half*ln2*z2 + 
    37632000*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 357840000*s6*z2 - 
    115516800*li4half*z2^2 - 8929200*ln2^4*z2^2 + 31315200*ln2^2*z2^3 + 
    76029336*z2^4 + 82656000*li5half*z3 + 75264000*li4half*ln2*z3 + 
    2447200*ln2^5*z3 + 25116000*ln2^3*z2*z3 + 3897600*ln2*z2^2*z3 - 
    55450500*ln2^2*z3^2 + 34492500*z2*z3^2 - 45570000*ln2^3*z5 - 
    324807000*ln2*z2*z5 - 266978250*z3*z5 + 5992875*ln2*z7)/18816000, 
 H[-1, -1, 0, -1, -1, 0, -1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    2553600*ln2^2*s6 + 718725*s8a - 3964800*s8b - 5107200*s8c + 5107200*s8d + 
    5644800*li4half*ln2^2*z2 + 235200*ln2^6*z2 - 13742400*s6*z2 + 
    8783040*li4half*z2^2 - 339640*ln2^4*z2^2 - 2783200*ln2^2*z2^3 - 
    7181508*z2^4 + 6720000*li5half*z3 - 11289600*li4half*ln2*z3 - 
    526400*ln2^5*z3 + 3382400*ln2^3*z2*z3 + 8572200*ln2*z2^2*z3 - 
    1869000*ln2^2*z3^2 + 706650*z2*z3^2 + 19555200*ln2*z2*z5 + 
    11981025*z3*z5 + 17640000*ln2*z7)/1881600, 
 H[-1, -1, 0, -1, -1, 0, -1, -1, 1] -> 
  (-806400*li4half^2 - 67200*li4half*ln2^4 - 1400*ln2^8 + 451200*ln2^2*s6 - 
    115200*ln2*s7a - 787200*ln2*s7b + 403200*li4half*ln2^2*z2 + 
    16800*ln2^6*z2 + 645120*li4half*z2^2 - 23520*ln2^4*z2^2 - 
    370720*ln2^2*z2^3 - 129024*z2^4 - 134400*li5half*z3 - 
    1478400*li4half*ln2*z3 - 60480*ln2^5*z3 + 358400*ln2^3*z2*z3 + 
    728640*ln2*z2^2*z3 - 269300*ln2^2*z3^2 + 651000*ln2^3*z5 + 
    2333400*ln2*z2*z5 + 134400*z3*z5 - 4199775*ln2*z7)/179200, 
 H[-1, -1, 0, -1, -1, -1, 1, 1, 1] -> 
  (18144000*li8half - 22176000*li7half*ln2 - 4032000*li6half*ln2^2 - 
    2352000*li5half*ln2^3 - 168000*li4half*ln2^4 + 11850*ln2^8 - 
    1656000*ln2^2*s6 - 360000*ln2*s7a - 1872000*ln2*s7b + 6695325*s8a + 
    13608000*s8b + 7056000*s8c - 5544000*s8d + 9072000*li6half*z2 + 
    10080000*li5half*ln2*z2 + 1008000*li4half*ln2^2*z2 - 15400*ln2^6*z2 + 
    10584000*s6*z2 - 1159200*li4half*z2^2 - 352800*ln2^4*z2^2 - 
    2026800*ln2^2*z2^3 + 306522*z2^4 - 7308000*li5half*z3 - 
    756000*li4half*ln2*z3 + 14700*ln2^5*z3 + 1092000*ln2^3*z2*z3 - 
    4886100*ln2*z2^2*z3 - 3222000*ln2^2*z3^2 - 3228750*z2*z3^2 + 
    1790250*ln2^3*z5 - 15621750*ln2*z2*z5 - 5071500*z3*z5 + 3013875*ln2*z7)/
   2016000, H[-1, -1, 0, -1, -1, -1, 1, 0, 1] -> 
  (-366912000*li4half^2 - 4515840000*li8half + 112896000*li6half*ln2^2 - 
    30576000*li4half*ln2^4 - 592200*ln2^8 + 490896000*ln2^2*s6 - 
    64512000*ln2*s7a - 78624000*ln2*s7b - 1076295150*s8a - 5915952000*s8b - 
    895104000*s8c - 120960000*s8d - 169344000*li6half*z2 - 
    225792000*li5half*ln2*z2 + 197568000*li4half*ln2^2*z2 + 
    10662400*ln2^6*z2 + 686448000*s6*z2 + 277804800*li4half*z2^2 - 
    2419200*ln2^4*z2^2 - 13809600*ln2^2*z2^3 + 91600056*z2^4 + 
    792288000*li5half*z3 - 670320000*li4half*ln2*z3 - 34532400*ln2^5*z3 + 
    229488000*ln2^3*z2*z3 + 1043506800*ln2*z2^2*z3 + 11277000*ln2^2*z3^2 + 
    804951000*z2*z3^2 + 13671000*ln2^3*z5 + 2917593000*ln2*z2*z5 + 
    262788750*z3*z5 - 306865125*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, -1, -1, 1, -1, 1] -> 
  (-508032000*li4half^2 + 903168000*li8half + 846720000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 94080000*li5half*ln2^3 - 
    37632000*li4half*ln2^4 - 1380400*ln2^8 + 182448000*ln2^2*s6 - 
    177408000*ln2*s7a - 106848000*ln2*s7b + 185081400*s8a + 2062368000*s8b - 
    24192000*s8c + 447552000*s8d - 282240000*li5half*ln2*z2 + 
    310464000*li4half*ln2^2*z2 + 14268800*ln2^6*z2 - 1106784000*s6*z2 + 
    495936000*li4half*z2^2 - 32726400*ln2^4*z2^2 - 107402400*ln2^2*z2^3 - 
    271245456*z2^4 - 753984000*li5half*z3 - 959616000*li4half*ln2*z3 - 
    33289200*ln2^5*z3 + 177072000*ln2^3*z2*z3 + 112341600*ln2*z2^2*z3 - 
    234234000*ln2^2*z3^2 - 90342000*z2*z3^2 - 68355000*ln2^3*z5 + 
    384237000*ln2*z2*z5 + 713349000*z3*z5 - 744888375*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, -1, -1, 0, 1, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 + 
    77616000*ln2^2*s6 - 4032000*ln2*s7a + 137088000*ln2*s7b - 262065825*s8a - 
    1375416000*s8b - 147168000*s8c - 135072000*s8d - 564480000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 169344000*li4half*ln2^2*z2 - 
    5017600*ln2^6*z2 + 481824000*s6*z2 - 111686400*li4half*z2^2 + 
    15926400*ln2^4*z2^2 + 18110400*ln2^2*z2^3 + 117892728*z2^4 + 
    481824000*li5half*z3 + 303408000*li4half*ln2*z3 + 8626800*ln2^5*z3 - 
    80976000*ln2^3*z2*z3 + 86700600*ln2*z2^2*z3 + 53140500*ln2^2*z3^2 + 
    95161500*z2*z3^2 - 182280000*ln2^3*z5 - 191394000*ln2*z2*z5 - 
    268561125*z3*z5 + 1074449250*ln2*z7)/56448000, 
 H[-1, -1, 0, -1, -1, -1, 0, 0, 1] -> 
  (1128960*li4half^2 + 94080*li4half*ln2^4 + 1960*ln2^8 - 255360*ln2^2*s6 + 
    554715*s8a + 1431360*s8b + 510720*s8c - 510720*s8d - 
    564480*li4half*ln2^2*z2 - 23520*ln2^6*z2 + 1021440*s6*z2 - 
    948864*li4half*z2^2 + 31024*ln2^4*z2^2 + 297920*ln2^2*z2^3 + 
    755024*z2^4 - 672000*li5half*z3 + 1128960*li4half*ln2*z3 + 
    52640*ln2^5*z3 - 338240*ln2^3*z2*z3 - 877800*ln2*z2^2*z3 + 
    186900*ln2^2*z3^2 + 25620*z2*z3^2 - 2096640*ln2*z2*z5 - 1822485*z3*z5 - 
    2563680*ln2*z7)/376320, H[-1, -1, 0, -1, -1, -1, 0, -1, 1] -> 
  (63504000*li4half^2 + 5292000*li4half*ln2^4 + 110250*ln2^8 - 
    73584000*ln2^2*s6 + 29232000*ln2*s7a - 6048000*ln2*s7b + 92879325*s8a + 
    552384000*s8b + 88704000*s8c + 17136000*s8d - 70560000*li6half*z2 - 
    42336000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1509200*ln2^6*z2 - 
    87192000*s6*z2 - 47376000*li4half*z2^2 + 2583000*ln2^4*z2^2 + 
    34910400*ln2^2*z2^3 + 64277172*z2^4 - 13104000*li5half*z3 + 
    121716000*li4half*ln2*z3 + 5180700*ln2^5*z3 - 32550000*ln2^3*z2*z3 - 
    95860800*ln2*z2^2*z3 + 29358000*ln2^2*z3^2 - 83286000*z2*z3^2 + 
    34177500*ln2^3*z5 - 275467500*ln2*z2*z5 - 29460375*z3*z5 - 
    327237750*ln2*z7)/14112000, H[-1, -1, 0, -1, -1, -1, -1, 1, 1] -> 
  (84672000*li4half^2 - 112896000*li8half + 310464000*li7half*ln2 + 
    169344000*li6half*ln2^2 + 23520000*li5half*ln2^3 + 
    10584000*li4half*ln2^4 + 268800*ln2^8 - 47376000*ln2^2*s6 + 
    43344000*ln2*s7a - 20160000*ln2*s7b - 64530900*s8a - 754488000*s8b - 
    6048000*s8c - 99792000*s8d - 211680000*li6half*z2 - 
    49392000*li4half*ln2^2*z2 - 2548000*ln2^6*z2 + 252504000*s6*z2 - 
    87696000*li4half*z2^2 + 8723400*ln2^4*z2^2 + 64310400*ln2^2*z2^3 + 
    46337076*z2^4 + 181944000*li5half*z3 + 155232000*li4half*ln2*z3 + 
    5157600*ln2^5*z3 - 23646000*ln2^3*z2*z3 + 20953800*ln2*z2^2*z3 + 
    62307000*ln2^2*z3^2 + 30334500*z2*z3^2 + 61519500*ln2^3*z5 + 
    79348500*ln2*z2*z5 + 8001000*z3*z5 - 221342625*ln2*z7)/28224000, 
 H[-1, -1, 0, -1, -1, -1, -1, 0, 1] -> 
  (-2419200*li4half^2 - 201600*li4half*ln2^4 - 4200*ln2^8 + 
    1008000*ln2^2*s6 - 288225*s8a + 12600000*s8b - 2016000*s8c + 
    2016000*s8d + 8064000*li6half*z2 + 4838400*li5half*ln2*z2 + 
    2419200*li4half*ln2^2*z2 + 71680*ln2^6*z2 - 4032000*s6*z2 + 
    2338560*li4half*z2^2 - 120960*ln2^4*z2^2 - 695520*ln2^2*z2^3 - 
    1067688*z2^4 - 5241600*li5half*z3 - 4838400*li4half*ln2*z3 - 
    157920*ln2^5*z3 + 890400*ln2^3*z2*z3 + 859320*ln2*z2^2*z3 - 
    18900*ln2^2*z3^2 + 1291500*z2*z3^2 + 5241600*ln2*z2*z5 - 4106025*z3*z5 - 
    16128000*ln2*z7)/1612800, H[-1, -1, 0, -1, -1, -1, -1, -1, 1] -> 
  (-4233600*li8half - 3024000*li7half*ln2 - 1008000*li6half*ln2^2 - 
    201600*li5half*ln2^3 - 25200*li4half*ln2^4 - 275*ln2^8 + 840*ln2^6*z2 + 
    23040*ln2^2*z2^3 + 580608*z2^4 - 1470*ln2^5*z3 - 1209600*ln2*z7)/201600, 
 H[-1, -1, -1, 1, 1, 1, 1, 1, 1] -> (2016000*li8half + 1209600*li7half*ln2 + 
    201600*li6half*ln2^2 + 80*ln2^8 - 201600*ln2^2*s6 + 201600*ln2*s7a + 
    211050*s8a + 2217600*s8b + 403200*s8d - 560*ln2^6*z2 - 1008000*s6*z2 + 
    80640*li4half*z2^2 + 10080*ln2^4*z2^2 + 93600*ln2^2*z2^3 - 178488*z2^4 - 
    806400*li5half*z3 + 6720*ln2^5*z3 - 33600*ln2^3*z2*z3 - 
    131040*ln2*z2^2*z3 + 151200*ln2^2*z3^2 + 128100*ln2^3*z5 + 
    409500*ln2*z2*z5 - 242550*z3*z5 - 1403325*ln2*z7)/403200, 
 H[-1, -1, -1, 1, 1, 1, 1, 0, 1] -> 
  (237081600*li8half + 67737600*li7half*ln2 - 1881600*li5half*ln2^3 + 
    8120*ln2^8 - 27216000*ln2^2*s6 + 5644800*ln2*s7a + 59108175*s8a + 
    408945600*s8b + 31852800*s8c + 41529600*s8d - 11289600*li6half*z2 - 
    5644800*li5half*ln2*z2 - 15680*ln2^6*z2 - 122572800*s6*z2 + 
    8305920*li4half*z2^2 - 77280*ln2^4*z2^2 + 4646880*ln2^2*z2^3 - 
    20252376*z2^4 - 81648000*li5half*z3 + 774480*ln2^5*z3 - 
    6804000*ln2^3*z2*z3 - 54429480*ln2*z2^2*z3 + 9632700*ln2^2*z3^2 - 
    43690500*z2*z3^2 + 7350000*ln2^3*z5 - 101026800*ln2*z2*z5 + 
    71745975*z3*z5 - 39028500*ln2*z7)/11289600, 
 H[-1, -1, -1, 1, 1, 1, 1, -1, 1] -> 
  (4032000*li4half^2 - 32256000*li8half - 16128000*li7half*ln2 + 
    1344000*li5half*ln2^3 + 672000*li4half*ln2^4 + 12400*ln2^8 + 
    3024000*ln2^2*s6 - 2016000*ln2*s7a + 2016000*ln2*s7b - 3595725*s8a - 
    61992000*s8b - 2016000*s8c - 6048000*s8d - 2016000*li4half*ln2^2*z2 - 
    100800*ln2^6*z2 + 16128000*s6*z2 - 4435200*li4half*z2^2 - 
    67200*ln2^4*z2^2 - 763200*ln2^2*z2^3 - 868536*z2^4 + 
    12096000*li5half*z3 + 7056000*li4half*ln2*z3 + 252000*ln2^5*z3 - 
    1428000*ln2^3*z2*z3 - 1197000*ln2*z2^2*z3 + 1323000*ln2^2*z3^2 - 
    220500*z2*z3^2 - 2562000*ln2^3*z5 - 8064000*ln2*z2*z5 + 22372875*z3*z5 + 
    77135625*ln2*z7)/8064000, H[-1, -1, -1, 1, 1, 1, 0, 1, 1] -> 
  (2822400*li4half^2 - 186278400*li8half - 84672000*li7half*ln2 - 
    11289600*li6half*ln2^2 + 940800*li5half*ln2^3 + 470400*li4half*ln2^4 + 
    3360*ln2^8 + 25502400*ln2^2*s6 - 6048000*ln2*s7a + 5241600*ln2*s7b - 
    46859400*s8a - 317923200*s8b - 26208000*s8c - 31651200*s8d + 
    2822400*li6half*z2 + 5644800*li5half*ln2*z2 + 1411200*li4half*ln2^2*z2 + 
    39200*ln2^6*z2 + 91526400*s6*z2 - 8164800*li4half*z2^2 - 
    475440*ln2^4*z2^2 - 5695200*ln2^2*z2^3 + 14396652*z2^4 + 
    61891200*li5half*z3 + 1411200*li4half*ln2*z3 - 551040*ln2^5*z3 + 
    4804800*ln2^3*z2*z3 + 36693720*ln2*z2^2*z3 - 8725500*ln2^2*z3^2 + 
    31871700*z2*z3^2 - 15611400*ln2^3*z5 + 51760800*ln2*z2*z5 - 
    32904900*z3*z5 + 118337625*ln2*z7)/5644800, 
 H[-1, -1, -1, 1, 1, 1, 0, 0, 1] -> 
  (-12096000*li4half^2 - 145152000*li8half - 96768000*li7half*ln2 - 
    24192000*li6half*ln2^2 - 2688000*li5half*ln2^3 - 1008000*li4half*ln2^4 - 
    16600*ln2^8 + 25200000*ln2^2*s6 - 36288000*ln2*s7a - 23894325*s8a - 
    203112000*s8b - 2016000*s8c - 34272000*s8d - 24192000*li6half*z2 - 
    4032000*li5half*ln2*z2 + 8064000*li4half*ln2^2*z2 + 313600*ln2^6*z2 + 
    80640000*s6*z2 + 2419200*li4half*z2^2 - 1243200*ln2^4*z2^2 - 
    3794400*ln2^2*z2^3 + 24620328*z2^4 + 75600000*li5half*z3 - 
    16128000*li4half*ln2*z3 - 1234800*ln2^5*z3 + 11004000*ln2^3*z2*z3 + 
    39324600*ln2*z2^2*z3 - 31972500*ln2^2*z3^2 + 13891500*z2*z3^2 - 
    33768000*ln2^3*z5 + 1134000*ln2*z2*z5 - 69418125*z3*z5 + 11623500*ln2*z7)/
   8064000, H[-1, -1, -1, 1, 1, 1, 0, -1, 1] -> 
  (-4515840*li4half^2 - 27095040*li8half - 20321280*li7half*ln2 - 
    4515840*li6half*ln2^2 - 376320*li5half*ln2^3 - 470400*li4half*ln2^4 - 
    11536*ln2^8 - 3830400*ln2^2*s6 - 7902720*ln2*s7a - 9596160*ln2*s7b + 
    17784585*s8a + 62959680*s8b + 21208320*s8c - 4838400*s8d + 
    1128960*li5half*ln2*z2 + 2822400*li4half*ln2^2*z2 + 127008*ln2^6*z2 + 
    1491840*s6*z2 + 2644992*li4half*z2^2 - 331968*ln2^4*z2^2 + 
    1209600*ln2^2*z2^3 + 8825184*z2^4 + 9112320*li5half*z3 - 
    8467200*li4half*ln2*z3 - 456960*ln2^5*z3 + 2876160*ln2^3*z2*z3 - 
    1588104*ln2*z2^2*z3 - 11881800*ln2^2*z3^2 - 17537940*z2*z3^2 + 
    1687560*ln2^3*z5 - 37605960*ln2*z2*z5 - 692055*z3*z5 - 73256715*ln2*z7)/
   2257920, H[-1, -1, -1, 1, 1, 1, -1, 1, 1] -> 
  (-84672000*li4half^2 - 677376000*li8half - 508032000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 277200*ln2^8 + 227808000*ln2^2*s6 - 
    127008000*ln2*s7a + 183456000*ln2*s7b - 424875150*s8a - 2224656000*s8b - 
    342720000*s8c - 137088000*s8d + 42336000*li4half*ln2^2*z2 + 
    2273600*ln2^6*z2 + 514080000*s6*z2 + 40320000*li4half*z2^2 - 
    4552800*ln2^4*z2^2 - 70005600*ln2^2*z2^3 - 4370304*z2^4 + 
    274176000*li5half*z3 - 148176000*li4half*ln2*z3 - 9282000*ln2^5*z3 + 
    55188000*ln2^3*z2*z3 + 283172400*ln2*z2^2*z3 - 91602000*ln2^2*z3^2 + 
    346563000*z2*z3^2 - 291354000*ln2^3*z5 + 479556000*ln2*z2*z5 - 
    326040750*z3*z5 + 1541460375*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 1, 1, -1, 0, 1] -> 
  (8064000*li4half^2 - 145152000*li8half - 24192000*li7half*ln2 + 
    12096000*li6half*ln2^2 + 5376000*li5half*ln2^3 + 1680000*li4half*ln2^4 + 
    29200*ln2^8 + 21744000*ln2^2*s6 - 8640000*ln2*s7a - 20736000*ln2*s7b - 
    23894325*s8a - 203112000*s8b - 2016000*s8c - 34272000*s8d + 
    12096000*li6half*z2 + 8064000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 
    184800*ln2^6*z2 + 98784000*s6*z2 - 13305600*li4half*z2^2 - 
    2397600*ln2^2*z2^3 + 21910248*z2^4 + 66528000*li5half*z3 + 
    13104000*li4half*ln2*z3 + 100800*ln2^5*z3 + 2856000*ln2^3*z2*z3 + 
    31375800*ln2*z2^2*z3 - 4027500*ln2^2*z3^2 + 8127000*z2*z3^2 + 
    5166000*ln2^3*z5 + 51840000*ln2*z2*z5 - 54581625*z3*z5 - 
    149112000*ln2*z7)/8064000, H[-1, -1, -1, 1, 1, 1, -1, -1, 1] -> 
  (508032000*li8half + 338688000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 16800*ln2^8 - 188496000*ln2^2*s6 + 
    48384000*ln2*s7a - 290304000*ln2*s7b + 488333475*s8a + 2528568000*s8b + 
    449568000*s8c + 58464000*s8d + 78400*ln2^6*z2 - 370944000*s6*z2 + 
    11692800*li4half*z2^2 + 1428000*ln2^4*z2^2 + 41277600*ln2^2*z2^3 + 
    97586856*z2^4 - 116928000*li5half*z3 + 562800*ln2^5*z3 - 
    5040000*ln2^3*z2*z3 - 192313800*ln2*z2^2*z3 - 22365000*ln2^2*z3^2 - 
    418540500*z2*z3^2 + 309582000*ln2^3*z5 - 485352000*ln2*z2*z5 + 
    13048875*z3*z5 - 2637495000*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 1, 0, 1, 1, 1] -> 
  (-84672000*li4half^2 + 508032000*li8half + 338688000*li7half*ln2 + 
    84672000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 7056000*li4half*ln2^4 - 
    162400*ln2^8 - 58464000*ln2^2*s6 - 60480000*ln2*s7a - 145152000*ln2*s7b + 
    227834775*s8a + 1279656000*s8b + 195552000*s8c + 16128000*s8d - 
    84672000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1960000*ln2^6*z2 - 222768000*s6*z2 + 
    79430400*li4half*z2^2 - 2276400*ln2^4*z2^2 - 6098400*ln2^2*z2^3 + 
    12847824*z2^4 - 81648000*li5half*z3 - 169344000*li4half*ln2*z3 - 
    6316800*ln2^5*z3 + 35532000*ln2^3*z2*z3 - 44238600*ln2*z2^2*z3 - 
    55030500*ln2^2*z3^2 - 187015500*z2*z3^2 + 129360000*ln2^3*z5 - 
    171297000*ln2*z2*z5 + 24073875*z3*z5 - 1358768250*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 1, 0, 1, 0, 1] -> (25401600*li4half^2 + 112896000*li8half + 
    67737600*li7half*ln2 + 22579200*li6half*ln2^2 + 3763200*li5half*ln2^3 + 
    2116800*li4half*ln2^4 + 33460*ln2^8 - 46065600*ln2^2*s6 + 
    53020800*ln2*s7a + 6451200*ln2*s7b + 46895625*s8a + 310564800*s8b + 
    12902400*s8c + 59068800*s8d + 31046400*li6half*z2 + 
    14112000*li5half*ln2*z2 - 12700800*li4half*ln2^2*z2 - 556640*ln2^6*z2 - 
    142128000*s6*z2 - 9777600*li4half*z2^2 + 1409520*ln2^4*z2^2 + 
    15570240*ln2^2*z2^3 - 26678268*z2^4 - 115315200*li5half*z3 + 
    44452800*li4half*ln2*z3 + 2719080*ln2^5*z3 - 22075200*ln2^3*z2*z3 - 
    67795560*ln2*z2^2*z3 + 47284650*ln2^2*z3^2 - 29124900*z2*z3^2 + 
    44041200*ln2^3*z5 - 57922200*ln2*z2*z5 + 136270575*z3*z5 + 
    62851950*ln2*z7)/5644800, H[-1, -1, -1, 1, 1, 0, 1, -1, 1] -> 
  (32256000*li4half^2 + 790272000*li8half + 467712000*li7half*ln2 + 
    84672000*li6half*ln2^2 - 1344000*li5half*ln2^3 + 1344000*li4half*ln2^4 + 
    55600*ln2^8 - 110736000*ln2^2*s6 + 119808000*ln2*s7a - 37440000*ln2*s7b + 
    133605675*s8a + 1117368000*s8b + 50400000*s8c + 145152000*s8d - 
    8064000*li5half*ln2*z2 - 16128000*li4half*ln2^2*z2 - 644000*ln2^6*z2 - 
    388080000*s6*z2 + 3225600*li4half*z2^2 + 2721600*ln2^4*z2^2 + 
    20800800*ln2^2*z2^3 - 74422512*z2^4 - 284256000*li5half*z3 + 
    59472000*li4half*ln2*z3 + 4956000*ln2^5*z3 - 33264000*ln2^3*z2*z3 - 
    147328200*ln2*z2^2*z3 + 116370000*ln2^2*z3^2 - 77143500*z2*z3^2 + 
    155337000*ln2^3*z5 - 10539000*ln2*z2*z5 + 125535375*z3*z5 - 
    478860750*ln2*z7)/8064000, H[-1, -1, -1, 1, 1, 0, 0, 1, 1] -> 
  (56448000*li4half^2 + 338688000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    37632000*li5half*ln2^3 + 9408000*li4half*ln2^4 + 148400*ln2^8 + 
    112896000*ln2^2*s6 - 46368000*ln2*s7a + 94752000*ln2*s7b - 
    280753200*s8a - 1632960000*s8b - 133056000*s8c - 233856000*s8d + 
    564480000*li6half*z2 + 282240000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 - 548800*ln2^6*z2 + 1018080000*s6*z2 - 
    83462400*li4half*z2^2 - 890400*ln2^4*z2^2 - 21285600*ln2^2*z2^3 - 
    19779912*z2^4 + 220752000*li5half*z3 + 28224000*li4half*ln2*z3 - 
    193200*ln2^5*z3 + 12516000*ln2^3*z2*z3 + 109015200*ln2*z2^2*z3 - 
    41895000*ln2^2*z3^2 + 68260500*z2*z3^2 - 177870000*ln2^3*z5 - 
    100548000*ln2*z2*z5 - 417453750*z3*z5 + 184015125*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 1, 0, 0, 0, 1] -> 
  (-2016000*li4half^2 - 168000*li4half*ln2^4 - 3500*ln2^8 + 
    3360000*ln2^2*s6 - 2352000*ln2*s7a - 3628800*s8a - 17136000*s8b - 
    2688000*s8c - 2352000*s8d + 2016000*li6half*z2 + 1344000*li5half*ln2*z2 + 
    1344000*li4half*ln2^2*z2 + 47600*ln2^6*z2 + 7728000*s6*z2 + 
    1075200*li4half*z2^2 - 105000*ln2^4*z2^2 - 1351200*ln2^2*z2^3 - 
    182328*z2^4 + 6888000*li5half*z3 - 2688000*li4half*ln2*z3 - 
    169400*ln2^5*z3 + 1302000*ln2^3*z2*z3 + 4863600*ln2*z2^2*z3 - 
    2184000*ln2^2*z3^2 + 2772000*z2*z3^2 - 2380000*ln2^3*z5 + 
    6384000*ln2*z2*z5 - 10901625*z3*z5 - 3677625*ln2*z7)/672000, 
 H[-1, -1, -1, 1, 1, 0, 0, -1, 1] -> 
  (-75264000*li4half^2 - 37632000*li8half - 112896000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 12544000*li5half*ln2^3 - 7840000*li4half*ln2^4 - 
    148400*ln2^8 + 127008000*ln2^2*s6 - 131040000*ln2*s7a + 
    10080000*ln2*s7b - 133841400*s8a - 816816000*s8b - 67200000*s8c - 
    135072000*s8d + 84672000*li6half*z2 + 47040000*li5half*ln2*z2 + 
    47040000*li4half*ln2^2*z2 + 1764000*ln2^6*z2 + 413616000*s6*z2 + 
    33196800*li4half*z2^2 - 3614800*ln2^4*z2^2 - 54896800*ln2^2*z2^3 + 
    5981376*z2^4 + 232512000*li5half*z3 - 141120000*li4half*ln2*z3 - 
    7974400*ln2^5*z3 + 54852000*ln2^3*z2*z3 + 172342800*ln2*z2^2*z3 - 
    119805000*ln2^2*z3^2 + 75316500*z2*z3^2 - 129066000*ln2^3*z5 + 
    131418000*ln2*z2*z5 - 330540000*z3*z5 + 53038125*ln2*z7)/18816000, 
 H[-1, -1, -1, 1, 1, 0, -1, 1, 1] -> 
  (112896000*li4half^2 - 7338240000*li8half - 4120704000*li7half*ln2 - 
    762048000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 
    18816000*li4half*ln2^4 + 243600*ln2^8 + 1050336000*ln2^2*s6 - 
    832608000*ln2*s7a + 1086624000*ln2*s7b - 2125601100*s8a - 
    14174496000*s8b - 1338624000*s8c - 1356768000*s8d + 
    169344000*li6half*z2 + 84672000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2861600*ln2^6*z2 + 4230576000*s6*z2 - 
    361670400*li4half*z2^2 - 13540800*ln2^4*z2^2 - 137844000*ln2^2*z2^3 + 
    531458064*z2^4 + 2650032000*li5half*z3 + 197568000*li4half*ln2*z3 - 
    13087200*ln2^5*z3 + 134400000*ln2^3*z2*z3 + 1335675600*ln2*z2^2*z3 - 
    680085000*ln2^2*z3^2 + 1463710500*z2*z3^2 - 1838235000*ln2^3*z5 + 
    597240000*ln2*z2*z5 - 1532459250*z3*z5 + 9105492375*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 1, 0, -1, 0, 1] -> 
  (161280000*li8half + 96768000*li7half*ln2 + 32256000*li6half*ln2^2 + 
    5376000*li5half*ln2^3 - 15200*ln2^8 + 2304000*ln2^2*s6 + 
    23904000*ln2*s7a - 288000*ln2*s7b - 1460025*s8a + 97272000*s8b - 
    22176000*s8c + 22176000*s8d + 20160000*li6half*z2 + 
    12096000*li5half*ln2*z2 - 5600*ln2^6*z2 - 51408000*s6*z2 + 
    4435200*li4half*z2^2 + 310800*ln2^4*z2^2 - 5251200*ln2^2*z2^3 - 
    24876864*z2^4 - 35280000*li5half*z3 + 193200*ln2^5*z3 - 
    3360000*ln2^3*z2*z3 - 30600*ln2*z2^2*z3 + 19107000*ln2^2*z3^2 + 
    14521500*z2*z3^2 + 19110000*ln2^3*z5 + 60822000*ln2*z2*z5 - 
    22073625*z3*z5 - 46229625*ln2*z7)/8064000, 
 H[-1, -1, -1, 1, 1, 0, -1, -1, 1] -> 
  (1411200000*li8half + 508032000*li7half*ln2 + 84672000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 - 26600*ln2^8 + 67536000*ln2^2*s6 + 
    18144000*ln2*s7a - 38304000*ln2*s7b - 7868700*s8a + 457632000*s8b - 
    44352000*s8c + 30240000*s8d + 156800*ln2^6*z2 - 53424000*s6*z2 + 
    6048000*li4half*z2^2 - 2570400*ln2^4*z2^2 - 74440800*ln2^2*z2^3 - 
    122692392*z2^4 - 67536000*li5half*z3 + 621600*ln2^5*z3 - 
    5628000*ln2^3*z2*z3 + 5922000*ln2*z2^2*z3 + 45234000*ln2^2*z3^2 + 
    28413000*z2*z3^2 + 47334000*ln2^3*z5 + 247338000*ln2*z2*z5 - 
    311472000*z3*z5 - 262733625*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 1, -1, 1, 1, 1] -> 
  (16934400*li4half^2 + 180633600*li8half + 135475200*li7half*ln2 + 
    50803200*li6half*ln2^2 + 11289600*li5half*ln2^3 + 2822400*li4half*ln2^4 + 
    42560*ln2^8 - 45964800*ln2^2*s6 + 31449600*ln2*s7a - 44755200*ln2*s7b + 
    93395925*s8a + 531720000*s8b + 71366400*s8c + 35884800*s8d - 
    8467200*li4half*ln2^2*z2 - 384160*ln2^6*z2 - 125395200*s6*z2 - 
    6370560*li4half*z2^2 + 604800*ln2^4*z2^2 + 11598720*ln2^2*z2^3 - 
    1514328*z2^4 - 71769600*li5half*z3 + 29635200*li4half*ln2*z3 + 
    1915200*ln2^5*z3 - 14330400*ln2^3*z2*z3 - 63647640*ln2*z2^2*z3 + 
    29143800*ln2^2*z3^2 - 80293500*z2*z3^2 + 75705000*ln2^3*z5 - 
    94361400*ln2*z2*z5 + 79044525*z3*z5 - 389552625*ln2*z7)/11289600, 
 H[-1, -1, -1, 1, 1, -1, 1, 0, 1] -> 
  (-406425600*li8half - 203212800*li7half*ln2 - 50803200*li6half*ln2^2 - 
    9408000*li5half*ln2^3 - 1411200*li4half*ln2^4 - 20720*ln2^8 + 
    80236800*ln2^2*s6 - 32659200*ln2*s7a + 108460800*ln2*s7b - 
    210497175*s8a - 1223812800*s8b - 177004800*s8c - 74188800*s8d - 
    16934400*li6half*z2 - 16934400*li5half*ln2*z2 - 
    8467200*li4half*ln2^2*z2 - 164640*ln2^6*z2 + 257040000*s6*z2 - 
    14837760*li4half*z2^2 + 628320*ln2^4*z2^2 - 15966720*ln2^2*z2^3 - 
    1201512*z2^4 + 152611200*li5half*z3 + 4233600*li4half*ln2*z3 - 
    1189440*ln2^5*z3 + 10012800*ln2^3*z2*z3 + 121340520*ln2*z2^2*z3 - 
    18490500*ln2^2*z3^2 + 182101500*z2*z3^2 - 122186400*ln2^3*z5 + 
    254658600*ln2*z2*z5 - 113738625*z3*z5 + 857803275*ln2*z7)/11289600, 
 H[-1, -1, -1, 1, 1, -1, 1, -1, 1] -> 
  (-366912000*li8half - 254016000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    14112000*li5half*ln2^3 + 40600*ln2^8 + 93744000*ln2^2*s6 - 
    36288000*ln2*s7a + 217728000*ln2*s7b - 310504950*s8a - 1609776000*s8b - 
    284256000*s8c - 47376000*s8d - 215600*ln2^6*z2 + 260568000*s6*z2 - 
    9475200*li4half*z2^2 + 75600*ln2^4*z2^2 - 14179200*ln2^2*z2^3 - 
    46738332*z2^4 + 94752000*li5half*z3 - 378000*ln2^5*z3 + 
    10248000*ln2^3*z2*z3 + 124853400*ln2*z2^2*z3 - 13986000*ln2^2*z3^2 + 
    268537500*z2*z3^2 - 230275500*ln2^3*z5 + 240534000*ln2*z2*z5 - 
    63960750*z3*z5 + 1700787375*ln2*z7)/28224000, 
 H[-1, -1, -1, 1, 1, -1, 0, 1, 1] -> 
  (-112896000*li4half^2 + 1693440000*li8half + 677376000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 327600*ln2^8 - 276192000*ln2^2*s6 + 
    102816000*ln2*s7a - 122976000*ln2*s7b + 496388025*s8a + 3401496000*s8b + 
    332640000*s8c + 358848000*s8d + 28224000*li6half*z2 + 
    56448000*li4half*ln2^2*z2 + 2744000*ln2^6*z2 - 1070496000*s6*z2 + 
    162086400*li4half*z2^2 - 714000*ln2^4*z2^2 + 45309600*ln2^2*z2^3 - 
    155778096*z2^4 - 738864000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    2368800*ln2^5*z3 - 3948000*ln2^3*z2*z3 - 353795400*ln2*z2^2*z3 + 
    33453000*ln2^2*z3^2 - 323127000*z2*z3^2 + 229026000*ln2^3*z5 - 
    491148000*ln2*z2*z5 + 407712375*z3*z5 - 1106807625*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 1, -1, 0, 0, 1] -> 
  (376320000*li8half + 263424000*li7half*ln2 + 75264000*li6half*ln2^2 + 
    12544000*li5half*ln2^3 + 1568000*li4half*ln2^4 + 22400*ln2^8 - 
    30912000*ln2^2*s6 + 28896000*ln2*s7a - 102816000*ln2*s7b + 
    122011050*s8a + 768768000*s8b + 107520000*s8c + 24192000*s8d + 
    84672000*li6half*z2 + 37632000*li5half*ln2*z2 + 
    9408000*li4half*ln2^2*z2 + 117600*ln2^6*z2 - 64848000*s6*z2 + 
    4838400*li4half*z2^2 - 190400*ln2^4*z2^2 - 4922400*ln2^2*z2^3 - 
    3001032*z2^4 - 57792000*li5half*z3 - 4704000*li4half*ln2*z3 + 
    403200*ln2^5*z3 - 1092000*ln2^3*z2*z3 - 57338400*ln2*z2^2*z3 + 
    21220500*ln2^2*z3^2 - 124813500*z2*z3^2 + 109172000*ln2^3*z5 - 
    75957000*ln2*z2*z5 - 36130500*z3*z5 - 908709375*ln2*z7)/18816000, 
 H[-1, -1, -1, 1, 1, -1, 0, -1, 1] -> 
  (-56448000*li4half^2 + 197568000*li8half + 112896000*li7half*ln2 - 
    14112000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 
    174300*ln2^8 + 135576000*ln2^2*s6 - 76608000*ln2*s7a - 34272000*ln2*s7b - 
    157252725*s8a - 683424000*s8b - 110880000*s8c - 114912000*s8d + 
    14112000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 1450400*ln2^6*z2 + 
    339192000*s6*z2 + 22176000*li4half*z2^2 - 1486800*ln2^4*z2^2 - 
    64008000*ln2^2*z2^3 + 8947824*z2^4 + 229824000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 6707400*ln2^5*z3 + 45906000*ln2^3*z2*z3 + 
    190902600*ln2*z2^2*z3 - 50620500*ln2^2*z3^2 + 134095500*z2*z3^2 - 
    34765500*ln2^3*z5 + 466609500*ln2*z2*z5 - 531664875*z3*z5 - 
    555124500*ln2*z7)/28224000, H[-1, -1, -1, 1, 1, -1, -1, 1, 1] -> 
  (-11289600*li8half - 560*ln2^8 - 5443200*ln2^2*s6 - 530775*s8a - 
    907200*s8b + 10886400*s8c - 8064000*s8d + 7840*ln2^6*z2 + 
    14716800*s6*z2 - 1612800*li4half*z2^2 + 120960*ln2^4*z2^2 + 
    2523360*ln2^2*z2^3 + 7621728*z2^4 + 16128000*li5half*z3 - 
    216720*ln2^5*z3 + 2284800*ln2^3*z2*z3 + 939960*ln2*z2^2*z3 - 
    9336600*ln2^2*z3^2 + 81900*z2*z3^2 - 4615800*ln2^3*z5 - 
    32659200*ln2*z2*z5 - 35823375*z3*z5 + 2623950*ln2*z7)/11289600, 
 H[-1, -1, -1, 1, 1, -1, -1, 0, 1] -> 
  (56448000*li4half^2 + 1975680000*li8half + 959616000*li7half*ln2 + 
    225792000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 152600*ln2^8 - 468720000*ln2^2*s6 + 
    298368000*ln2*s7a - 308448000*ln2*s7b + 950870025*s8a + 5529384000*s8b + 
    651168000*s8c + 506016000*s8d - 28224000*li4half*ln2^2*z2 - 
    1332800*ln2^6*z2 - 1590624000*s6*z2 + 56044800*li4half*z2^2 + 
    4922400*ln2^4*z2^2 + 111384000*ln2^2*z2^3 - 127212816*z2^4 - 
    1012032000*li5half*z3 + 98784000*li4half*ln2*z3 + 12608400*ln2^5*z3 - 
    113148000*ln2^3*z2*z3 - 687594600*ln2*z2^2*z3 + 229351500*ln2^2*z3^2 - 
    749007000*z2*z3^2 + 547134000*ln2^3*z5 - 1097712000*ln2*z2*z5 + 
    1110067875*z3*z5 - 2371012875*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 1, -1, -1, -1, 1] -> 
  (-806400*li4half^2 - 1612800*li7half*ln2 - 806400*li6half*ln2^2 - 
    268800*li5half*ln2^3 - 134400*li4half*ln2^4 - 2720*ln2^8 + 
    1353600*ln2^2*s6 - 1152000*ln2*s7a - 1555200*ln2*s7b + 
    403200*li4half*ln2^2*z2 + 21280*ln2^6*z2 + 645120*li4half*z2^2 - 
    50400*ln2^4*z2^2 - 694560*ln2^2*z2^3 - 129024*z2^4 - 
    1411200*li4half*ln2*z3 - 58800*ln2^5*z3 + 218400*ln2^3*z2*z3 + 
    895680*ln2*z2^2*z3 - 3600*ln2^2*z3^2 + 919800*ln2^3*z5 + 
    4581000*ln2*z2*z5 - 7360875*ln2*z7)/1612800, 
 H[-1, -1, -1, 1, 0, 1, 1, 1, 1] -> (56448000*li4half^2 - 28224000*li8half - 
    84672000*li7half*ln2 - 42336000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 
    3528000*li4half*ln2^4 + 84700*ln2^8 - 16128000*ln2^2*s6 + 
    4032000*ln2*s7a + 18144000*ln2*s7b + 1097775*s8a - 72576000*s8b + 
    10080000*s8c - 10080000*s8d + 28224000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 21168000*li4half*ln2^2*z2 - 1019200*ln2^6*z2 + 
    66024000*s6*z2 - 51408000*li4half*z2^2 + 915600*ln2^4*z2^2 + 
    12600000*ln2^2*z2^3 - 1913976*z2^4 - 15120000*li5half*z3 + 
    84672000*li4half*ln2*z3 + 3448200*ln2^5*z3 - 22428000*ln2^3*z2*z3 - 
    62937000*ln2*z2^2*z3 + 30192750*ln2^2*z3^2 - 49124250*z2*z3^2 - 
    9702000*ln2^3*z5 - 172840500*ln2*z2*z5 + 189433125*z3*z5 + 
    321977250*ln2*z7)/28224000, H[-1, -1, -1, 1, 0, 1, 1, 0, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 + 
    88200000*ln2^2*s6 - 150192000*ln2*s7a - 199584000*ln2*s7b + 
    100938600*s8a + 227808000*s8b + 173376000*s8c - 145152000*s8d - 
    42336000*li6half*z2 - 28224000*li5half*ln2*z2 + 
    63504000*li4half*ln2^2*z2 + 2822400*ln2^6*z2 + 244440000*s6*z2 + 
    91627200*li4half*z2^2 - 4120200*ln2^4*z2^2 - 58060800*ln2^2*z2^3 + 
    89986716*z2^4 + 346752000*li5half*z3 - 218736000*li4half*ln2*z3 - 
    12003600*ln2^5*z3 + 83874000*ln2^3*z2*z3 + 198714600*ln2*z2^2*z3 - 
    187535250*ln2^2*z3^2 - 86152500*z2*z3^2 + 34839000*ln2^3*z5 + 
    118188000*ln2*z2*z5 - 538760250*z3*z5 - 1592915625*ln2*z7)/28224000, 
 H[-1, -1, -1, 1, 0, 1, 1, -1, 1] -> 
  (-44352000*li4half^2 - 483840000*li8half - 362880000*li7half*ln2 - 
    84672000*li6half*ln2^2 - 2688000*li5half*ln2^3 - 2688000*li4half*ln2^4 - 
    70200*ln2^8 + 100080000*ln2^2*s6 - 109152000*ln2*s7a + 40032000*ln2*s7b - 
    104591025*s8a - 759528000*s8b - 50400000*s8c - 102816000*s8d - 
    8064000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 515200*ln2^6*z2 + 
    282240000*s6*z2 + 14313600*li4half*z2^2 - 1537200*ln2^4*z2^2 - 
    25992000*ln2^2*z2^3 + 52720416*z2^4 + 209664000*li5half*z3 - 
    73584000*li4half*ln2*z3 - 4813200*ln2^5*z3 + 30576000*ln2^3*z2*z3 + 
    125289000*ln2*z2^2*z3 - 107901000*ln2^2*z3^2 + 70591500*z2*z3^2 - 
    151515000*ln2^3*z5 + 54333000*ln2*z2*z5 - 184078125*z3*z5 + 
    270928125*ln2*z7)/8064000, H[-1, -1, -1, 1, 0, 1, 0, 1, 1] -> 
  (-70560000*li4half^2 - 564480000*li8half - 225792000*li7half*ln2 - 
    56448000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    10584000*li4half*ln2^4 - 209300*ln2^8 + 64512000*ln2^2*s6 - 
    28224000*ln2*s7a + 141120000*ln2*s7b - 240815925*s8a - 1105272000*s8b - 
    213696000*s8c - 19152000*s8d - 141120000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 35280000*li4half*ln2^2*z2 - 19600*ln2^6*z2 + 
    55944000*s6*z2 + 37800000*li4half*z2^2 + 3280200*ln2^4*z2^2 - 
    13532400*ln2^2*z2^3 + 23450472*z2^4 + 130032000*li5half*z3 - 
    35280000*li4half*ln2*z3 - 2553600*ln2^5*z3 + 6132000*ln2^3*z2*z3 + 
    124122600*ln2*z2^2*z3 - 7764750*ln2^2*z3^2 + 269970750*z2*z3^2 - 
    122745000*ln2^3*z5 + 436464000*ln2*z2*z5 - 245266875*z3*z5 + 
    886079250*ln2*z7)/28224000, H[-1, -1, -1, 1, 0, 1, 0, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    38808000*ln2^2*s6 + 83664000*ln2*s7a + 62496000*ln2*s7b - 27841275*s8a - 
    126000000*s8b - 68544000*s8c + 54432000*s8d - 28224000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 2156000*ln2^6*z2 - 
    126504000*s6*z2 - 64260000*li4half*z2^2 + 3672900*ln2^4*z2^2 + 
    21554400*ln2^2*z2^3 - 36263874*z2^4 - 165312000*li5half*z3 + 
    102312000*li4half*ln2*z3 + 5640600*ln2^5*z3 - 41706000*ln2^3*z2*z3 - 
    96579000*ln2*z2^2*z3 + 92720250*ln2^2*z3^2 + 40989375*z2*z3^2 + 
    23520000*ln2^3*z5 + 79600500*ln2*z2*z5 + 295761375*z3*z5 + 
    597460500*ln2*z7)/14112000, H[-1, -1, -1, 1, 0, 1, 0, -1, 1] -> 
  (451584000*li4half^2 + 1354752000*li8half + 451584000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 37632000*li5half*ln2^3 + 
    47040000*li4half*ln2^4 + 963200*ln2^8 - 448560000*ln2^2*s6 + 
    693504000*ln2*s7a + 580608000*ln2*s7b - 656775*s8a + 1600200000*s8b - 
    433440000*s8c + 856800000*s8d - 197568000*li6half*z2 - 
    169344000*li5half*ln2*z2 - 296352000*li4half*ln2^2*z2 - 
    11838400*ln2^6*z2 - 2038176000*s6*z2 - 196963200*li4half*z2^2 + 
    23486400*ln2^4*z2^2 + 196106400*ln2^2*z2^3 - 447336504*z2^4 - 
    1628928000*li5half*z3 + 860832000*li4half*ln2*z3 + 51088800*ln2^5*z3 - 
    364476000*ln2^3*z2*z3 - 895595400*ln2*z2^2*z3 + 814716000*ln2^2*z3^2 + 
    226516500*z2*z3^2 + 99666000*ln2^3*z5 - 186480000*ln2*z2*z5 + 
    1926374625*z3*z5 + 5156140500*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 0, 1, -1, 1, 1] -> 
  (42336000*li4half^2 + 4741632000*li8half + 3076416000*li7half*ln2 + 
    719712000*li6half*ln2^2 + 47040000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 237300*ln2^8 - 803376000*ln2^2*s6 + 
    670320000*ln2*s7a - 889056000*ln2*s7b + 1528531200*s8a + 9905616000*s8b + 
    1084608000*s8c + 834624000*s8d - 127008000*li6half*z2 + 
    14112000*li4half*ln2^2*z2 + 333200*ln2^6*z2 - 2755872000*s6*z2 + 
    142934400*li4half*z2^2 + 6925800*ln2^4*z2^2 + 139028400*ln2^2*z2^3 - 
    241707708*z2^4 - 1676304000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    14880600*ln2^5*z3 - 104412000*ln2^3*z2*z3 - 945037800*ln2*z2^2*z3 + 
    497180250*ln2^2*z3^2 - 1087647750*z2*z3^2 + 1479334500*ln2^3*z5 - 
    593491500*ln2*z2*z5 + 856847250*z3*z5 - 7328923875*ln2*z7)/28224000, 
 H[-1, -1, -1, 1, 0, 1, -1, 0, 1] -> 
  (-112896000*li4half^2 - 4515840000*li8half - 1806336000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 150528000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 28000*ln2^8 + 210672000*ln2^2*s6 - 
    149184000*ln2*s7a + 457632000*ln2*s7b - 981440775*s8a - 7276248000*s8b - 
    772128000*s8c - 441504000*s8d - 592704000*li6half*z2 - 
    395136000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 2587200*ln2^6*z2 + 
    1249920000*s6*z2 - 36086400*li4half*z2^2 + 8316000*ln2^4*z2^2 + 
    21369600*ln2^2*z2^3 + 186357816*z2^4 + 981792000*li5half*z3 - 
    28224000*li4half*ln2*z3 - 9357600*ln2^5*z3 + 96516000*ln2^3*z2*z3 + 
    596471400*ln2*z2^2*z3 - 16159500*ln2^2*z3^2 + 793863000*z2*z3^2 - 
    438795000*ln2^3*z5 + 1412649000*ln2*z2*z5 + 598744125*z3*z5 + 
    4644903375*ln2*z7)/56448000, H[-1, -1, -1, 1, 0, 1, -1, -1, 1] -> 
  (28224000*li4half^2 - 6491520000*li8half - 3443328000*li7half*ln2 - 
    762048000*li6half*ln2^2 - 56448000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 81200*ln2^8 + 367920000*ln2^2*s6 - 
    239904000*ln2*s7a + 903168000*ln2*s7b - 1301266575*s8a - 8852760000*s8b - 
    1074528000*s8c - 237888000*s8d - 42336000*li4half*ln2^2*z2 - 
    2783200*ln2^6*z2 + 1131984000*s6*z2 - 74390400*li4half*z2^2 + 
    10130400*ln2^4*z2^2 + 90266400*ln2^2*z2^3 + 97880688*z2^4 + 
    475776000*li5half*z3 + 84672000*li4half*ln2*z3 - 436800*ln2^5*z3 - 
    18564000*ln2^3*z2*z3 + 449051400*ln2*z2^2*z3 - 55503000*ln2^2*z3^2 + 
    1016473500*z2*z3^2 - 1035615000*ln2^3*z5 + 534807000*ln2*z2*z5 + 
    1557761625*z3*z5 + 9410719500*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 0, 0, 1, 1, 1] -> (-2419200*li4half^2 + 29030400*li8half + 
    9676800*li7half*ln2 - 537600*li5half*ln2^3 - 336000*li4half*ln2^4 - 
    6520*ln2^8 - 3427200*ln2^2*s6 + 2822400*ln2*s7a - 1209600*ln2*s7b + 
    7394625*s8a + 48686400*s8b + 2822400*s8c + 6048000*s8d - 
    6451200*li6half*z2 - 1612800*li5half*ln2*z2 + 1209600*li4half*ln2^2*z2 + 
    63840*ln2^6*z2 - 20966400*s6*z2 + 1491840*li4half*z2^2 - 
    95760*ln2^4*z2^2 + 681120*ln2^2*z2^3 - 1859472*z2^4 - 
    1612800*li5half*z3 + 1008000*li4half*ln2*z3 + 31920*ln2^5*z3 - 
    386400*ln2^3*z2*z3 - 2895480*ln2*z2^2*z3 + 1675800*ln2^2*z3^2 - 
    1039500*z2*z3^2 + 3511200*ln2^3*z5 + 1461600*ln2*z2*z5 - 7835625*z3*z5 - 
    17739225*ln2*z7)/1612800, H[-1, -1, -1, 1, 0, 0, 1, 0, 1] -> 
  (11289600*li4half^2 + 940800*li4half*ln2^4 + 19600*ln2^8 - 
    2721600*ln2^2*s6 - 1411200*ln2*s7a + 8467200*ln2*s7b - 7106400*s8a - 
    14918400*s8b - 1612800*s8c - 1209600*s8d - 2822400*li5half*ln2*z2 - 
    7056000*li4half*ln2^2*z2 - 270480*ln2^6*z2 + 7358400*s6*z2 - 
    2711520*li4half*z2^2 + 851340*ln2^4*z2^2 + 2236920*ln2^2*z2^3 + 
    521466*z2^4 - 24393600*li5half*z3 + 3528000*li4half*ln2*z3 + 
    350280*ln2^5*z3 - 3091200*ln2^3*z2*z3 - 8085420*ln2*z2^2*z3 + 
    1174950*ln2^2*z3^2 + 206325*z2*z3^2 - 8820000*ln2^3*z5 - 
    26516700*ln2*z2*z5 + 23051700*z3*z5 + 59281425*ln2*z7)/2822400, 
 H[-1, -1, -1, 1, 0, 0, 1, -1, 1] -> 
  (169344000*li4half^2 - 564480000*li8half - 338688000*li7half*ln2 + 
    18816000*li5half*ln2^3 + 18816000*li4half*ln2^4 + 386400*ln2^8 - 
    275184000*ln2^2*s6 - 38304000*ln2*s7a - 348768000*ln2*s7b + 
    659583225*s8a + 2737224000*s8b + 626976000*s8c + 205632000*s8d + 
    395136000*li5half*ln2*z2 + 169344000*li4half*ln2^2*z2 + 
    3136000*ln2^6*z2 - 827568000*s6*z2 - 33667200*li4half*z2^2 - 
    24746400*ln2^4*z2^2 + 155685600*ln2^2*z2^3 + 63104256*z2^4 - 
    665280000*li5half*z3 - 134064000*li4half*ln2*z3 - 42000*ln2^5*z3 + 
    46872000*ln2^3*z2*z3 - 379877400*ln2*z2^2*z3 - 98784000*ln2^2*z3^2 - 
    609808500*z2*z3^2 + 341922000*ln2^3*z5 - 1478232000*ln2*z2*z5 + 
    1508432625*z3*z5 - 948488625*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, 0, 0, 0, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    7224000*ln2^2*s6 + 7392000*ln2*s7a - 25536000*ln2*s7b + 34567575*s8a + 
    158592000*s8b + 25536000*s8c + 14448000*s8d - 9408000*li5half*ln2*z2 + 
    2352000*li4half*ln2^2*z2 + 176400*ln2^6*z2 - 45360000*s6*z2 + 
    8769600*li4half*z2^2 - 203000*ln2^4*z2^2 - 912800*ln2^2*z2^3 - 
    772068*z2^4 - 4200000*li5half*z3 - 4704000*li4half*ln2*z3 - 
    161000*ln2^5*z3 + 238000*ln2^3*z2*z3 - 9412200*ln2*z2^2*z3 + 
    4032000*ln2^2*z3^2 - 32859750*z2*z3^2 + 27268500*ln2^3*z5 - 
    9387000*ln2*z2*z5 + 48709500*z3*z5 - 125341125*ln2*z7)/4704000, 
 H[-1, -1, -1, 1, 0, 0, 0, 0, 1] -> (806400*li4half^2 + 67200*li4half*ln2^4 + 
    1400*ln2^8 - 201600*ln2^2*s6 + 403200*ln2*s7a + 1008000*s8b - 
    403200*li4half*ln2^2*z2 - 16800*ln2^6*z2 + 504000*s6*z2 - 
    1028160*li4half*z2^2 + 7560*ln2^4*z2^2 + 190800*ln2^2*z2^3 + 
    703224*z2^4 - 604800*li5half*z3 + 806400*li4half*ln2*z3 + 
    38640*ln2^5*z3 - 252000*ln2^3*z2*z3 - 758520*ln2*z2^2*z3 + 
    504000*ln2^2*z3^2 + 50400*z2*z3^2 + 327600*ln2^3*z5 - 560700*ln2*z2*z5 - 
    1368675*z3*z5 - 2778300*ln2*z7)/403200, 
 H[-1, -1, -1, 1, 0, 0, 0, -1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 240000*ln2^2*s6 + 
    2592000*ln2*s7a + 1920000*ln2*s7b - 2051175*s8a + 588000*s8b - 
    3024000*s8c + 1008000*s8d - 672000*li5half*ln2*z2 - 
    1344000*li4half*ln2^2*z2 - 50400*ln2^6*z2 - 504000*s6*z2 - 
    1898400*li4half*z2^2 + 65100*ln2^4*z2^2 + 185000*ln2^2*z2^3 + 
    1109082*z2^4 + 336000*li5half*z3 + 5376000*li4half*ln2*z3 + 
    221200*ln2^5*z3 - 1358000*ln2^3*z2*z3 - 1177800*ln2*z2^2*z3 + 
    3329250*ln2^2*z3^2 + 2176125*z2*z3^2 + 444500*ln2^3*z5 + 
    2823000*ln2*z2*z5 - 7216125*z3*z5 - 2447625*ln2*z7)/672000, 
 H[-1, -1, -1, 1, 0, 0, -1, 1, 1] -> 
  (-67737600*li4half^2 - 225792000*li8half - 45158400*li7half*ln2 + 
    3763200*li5half*ln2^3 - 4704000*li4half*ln2^4 - 106400*ln2^8 + 
    107654400*ln2^2*s6 - 33868800*ln2*s7a + 47980800*ln2*s7b - 
    182003850*s8a - 1082793600*s8b - 147571200*s8c - 95155200*s8d + 
    33868800*li6half*z2 - 67737600*li5half*ln2*z2 - 
    16934400*li4half*ln2^2*z2 - 47040*ln2^6*z2 + 335664000*s6*z2 + 
    16531200*li4half*z2^2 + 3793440*ln2^4*z2^2 - 45077760*ln2^2*z2^3 - 
    6908688*z2^4 + 260870400*li5half*z3 - 14112000*li4half*ln2*z3 - 
    2761920*ln2^5*z3 + 11508000*ln2^3*z2*z3 + 154077840*ln2*z2^2*z3 - 
    14130900*ln2^2*z3^2 + 134183700*z2*z3^2 - 89287800*ln2^3*z5 + 
    381767400*ln2*z2*z5 - 248046750*z3*z5 + 306594225*ln2*z7)/11289600, 
 H[-1, -1, -1, 1, 0, 0, -1, 0, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    22176000*ln2^2*s6 - 16128000*ln2*s7a + 54432000*ln2*s7b - 56104650*s8a - 
    42840000*s8b + 6048000*s8c - 34272000*s8d + 28224000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2587200*ln2^6*z2 + 132048000*s6*z2 - 
    71064000*li4half*z2^2 + 5917800*ln2^4*z2^2 + 31458000*ln2^2*z2^3 + 
    62675436*z2^4 - 107856000*li5half*z3 + 112896000*li4half*ln2*z3 + 
    5602800*ln2^5*z3 - 35448000*ln2^3*z2*z3 - 69526800*ln2*z2^2*z3 + 
    23751000*ln2^2*z3^2 + 26885250*z2*z3^2 - 66738000*ln2^3*z5 - 
    255213000*ln2*z2*z5 - 149672250*z3*z5 + 57967875*ln2*z7)/28224000, 
 H[-1, -1, -1, 1, 0, 0, -1, -1, 1] -> 
  (47040000*li4half^2 + 150528000*li8half + 75264000*li7half*ln2 - 
    6272000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 57400*ln2^8 - 
    20160000*ln2^2*s6 + 17472000*ln2*s7a + 31584000*ln2*s7b + 410550*s8a + 
    254352000*s8b - 13440000*s8c + 4032000*s8d - 23520000*li4half*ln2^2*z2 - 
    901600*ln2^6*z2 - 3360000*s6*z2 - 37766400*li4half*z2^2 + 
    1954400*ln2^4*z2^2 + 13423200*ln2^2*z2^3 + 34247688*z2^4 + 
    1344000*li5half*z3 + 89376000*li4half*ln2*z3 + 3438400*ln2^5*z3 - 
    22232000*ln2^3*z2*z3 - 36254400*ln2*z2^2*z3 + 35416500*ln2^2*z3^2 + 
    10962000*z2*z3^2 - 12201000*ln2^3*z5 - 52899000*ln2*z2*z5 - 
    224096250*z3*z5 - 315165375*ln2*z7)/18816000, 
 H[-1, -1, -1, 1, 0, -1, 1, 1, 1] -> 
  (-20160000*li4half^2 - 645120000*li8half - 354816000*li7half*ln2 - 
    72576000*li6half*ln2^2 - 2688000*li5half*ln2^3 - 2016000*li4half*ln2^4 - 
    73000*ln2^8 + 123120000*ln2^2*s6 - 85824000*ln2*s7a + 113760000*ln2*s7b - 
    220322025*s8a - 1431864000*s8b - 159264000*s8c - 122976000*s8d - 
    24192000*li6half*z2 - 20160000*li5half*ln2*z2 + 
    4032000*li4half*ln2^2*z2 + 392000*ln2^6*z2 + 376992000*s6*z2 - 
    13305600*li4half*z2^2 - 2016000*ln2^4*z2^2 - 20923200*ln2^2*z2^3 + 
    37682496*z2^4 + 281232000*li5half*z3 - 15120000*li4half*ln2*z3 - 
    2973600*ln2^5*z3 + 21924000*ln2^3*z2*z3 + 157440600*ln2*z2^2*z3 - 
    73638000*ln2^2*z3^2 + 180999000*z2*z3^2 - 200340000*ln2^3*z5 + 
    186210000*ln2*z2*z5 - 213987375*z3*z5 + 885664125*ln2*z7)/8064000, 
 H[-1, -1, -1, 1, 0, -1, 1, 0, 1] -> 
  (11289600*li4half^2 + 301056000*li8half + 120422400*li7half*ln2 + 
    45158400*li6half*ln2^2 + 10035200*li5half*ln2^3 + 1568000*li4half*ln2^4 + 
    8400*ln2^8 - 17673600*ln2^2*s6 + 19488000*ln2*s7a - 26611200*ln2*s7b + 
    61123125*s8a + 478699200*s8b + 45292800*s8c + 35616000*s8d + 
    56448000*li6half*z2 + 33868800*li5half*ln2*z2 - 940800*li4half*ln2^2*z2 - 
    211680*ln2^6*z2 - 82521600*s6*z2 + 2607360*li4half*z2^2 - 
    428400*ln2^4*z2^2 - 1438080*ln2^2*z2^3 - 19418136*z2^4 - 
    96163200*li5half*z3 + 4233600*li4half*ln2*z3 + 977760*ln2^5*z3 - 
    8562400*ln2^3*z2*z3 - 49451640*ln2*z2^2*z3 + 11302200*ln2^2*z3^2 - 
    59665200*z2*z3^2 + 33937400*ln2^3*z5 - 105835800*ln2*z2*z5 + 
    16578975*z3*z5 - 255709650*ln2*z7)/3763200, 
 H[-1, -1, -1, 1, 0, -1, 1, -1, 1] -> 
  (3024000*li4half^2 + 276192000*li8half + 185472000*li7half*ln2 + 
    42336000*li6half*ln2^2 + 2016000*li5half*ln2^3 + 168000*li4half*ln2^4 + 
    13800*ln2^8 - 46872000*ln2^2*s6 + 36792000*ln2*s7a - 59472000*ln2*s7b + 
    92598975*s8a + 578592000*s8b + 67536000*s8c + 45864000*s8d + 
    5040000*li5half*ln2*z2 + 1512000*li4half*ln2^2*z2 + 35000*ln2^6*z2 - 
    148428000*s6*z2 + 7459200*li4half*z2^2 + 588000*ln2^4*z2^2 + 
    7794000*ln2^2*z2^3 - 14088294*z2^4 - 94248000*li5half*z3 + 
    252000*li4half*ln2*z3 + 751800*ln2^5*z3 - 5271000*ln2^3*z2*z3 - 
    53694900*ln2*z2^2*z3 + 29925000*ln2^2*z3^2 - 71615250*z2*z3^2 + 
    92888250*ln2^3*z5 - 37107000*ln2*z2*z5 + 59314500*z3*z5 - 
    469728000*ln2*z7)/2016000, H[-1, -1, -1, 1, 0, -1, 0, 1, 1] -> 
  (-112896000*li4half^2 - 1128960000*li8half - 451584000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 369600*ln2^8 - 68544000*ln2^2*s6 + 
    16128000*ln2*s7a - 237888000*ln2*s7b + 229365675*s8a + 775656000*s8b + 
    231840000*s8c + 78624000*s8d + 225792000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 + 548800*ln2^6*z2 - 
    107856000*s6*z2 + 89107200*li4half*z2^2 + 3536400*ln2^4*z2^2 - 
    8668800*ln2^2*z2^3 + 68022288*z2^4 - 114912000*li5half*z3 - 
    91728000*li4half*ln2*z3 - 2864400*ln2^5*z3 + 7476000*ln2^3*z2*z3 - 
    72714600*ln2*z2^2*z3 + 20191500*ln2^2*z3^2 - 347634000*z2*z3^2 + 
    259161000*ln2^3*z5 - 282492000*ln2*z2*z5 + 802501875*z3*z5 - 
    761969250*ln2*z7)/56448000, H[-1, -1, -1, 1, 0, -1, 0, 0, 1] -> 
  (141120000*li4half^2 + 11760000*li4half*ln2^4 + 245000*ln2^8 - 
    54432000*ln2^2*s6 + 122976000*ln2*s7a + 52416000*ln2*s7b - 19542600*s8a - 
    163800000*s8b - 66528000*s8c + 38304000*s8d - 56448000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 98784000*li4half*ln2^2*z2 - 3724000*ln2^6*z2 - 
    51912000*s6*z2 - 130636800*li4half*z2^2 + 5670000*ln2^4*z2^2 + 
    22562400*ln2^2*z2^3 + 8787444*z2^4 - 104832000*li5half*z3 + 
    197568000*li4half*ln2*z3 + 9105600*ln2^5*z3 - 61656000*ln2^3*z2*z3 - 
    119284200*ln2*z2^2*z3 + 137056500*ln2^2*z3^2 + 53203500*z2*z3^2 + 
    71442000*ln2^3*z5 + 104926500*ln2*z2*z5 + 119046375*z3*z5 + 
    402585750*ln2*z7)/28224000, H[-1, -1, -1, 1, 0, -1, 0, -1, 1] -> 
  (685440*li4half^2 + 1935360*li8half + 645120*li7half*ln2 + 
    161280*li6half*ln2^2 + 53760*li5half*ln2^3 + 70560*li4half*ln2^4 + 
    1446*ln2^8 - 286560*ln2^2*s6 + 679680*ln2*s7a + 720000*ln2*s7b - 
    368235*s8a + 735840*s8b - 645120*s8c + 483840*s8d + 80640*li6half*z2 - 
    80640*li5half*ln2*z2 - 403200*li4half*ln2^2*z2 - 16912*ln2^6*z2 - 
    695520*s6*z2 - 453600*li4half*z2^2 + 25200*ln2^4*z2^2 + 
    100008*ln2^2*z2^3 - 165132*z2^4 - 927360*li5half*z3 + 
    1260000*li4half*ln2*z3 + 62580*ln2^5*z3 - 396480*ln2^3*z2*z3 - 
    696132*ln2*z2^2*z3 + 815580*ln2^2*z3^2 + 386190*z2*z3^2 - 
    57750*ln2^3*z5 - 390690*ln2*z2*z5 - 178290*z3*z5 + 3422880*ln2*z7)/80640, 
 H[-1, -1, -1, 1, 0, -1, -1, 1, 1] -> 
  (-141120000*li4half^2 - 4798080000*li8half - 3612672000*li7half*ln2 - 
    846720000*li6half*ln2^2 - 56448000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 646800*ln2^8 + 1210608000*ln2^2*s6 - 
    927360000*ln2*s7a + 1104768000*ln2*s7b - 2042212725*s8a - 
    12543048000*s8b - 1441440000*s8c - 1183392000*s8d + 
    423360000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 2979200*ln2^6*z2 + 
    3855600000*s6*z2 - 143539200*li4half*z2^2 - 29500800*ln2^4*z2^2 - 
    354009600*ln2^2*z2^3 + 236185344*z2^4 + 2359728000*li5half*z3 - 
    148176000*li4half*ln2*z3 - 25838400*ln2^5*z3 + 196644000*ln2^3*z2*z3 + 
    1375756200*ln2*z2^2*z3 - 760032000*ln2^2*z3^2 + 1481067000*z2*z3^2 - 
    1896888000*ln2^3*z5 + 1015560000*ln2*z2*z5 - 2066155875*z3*z5 + 
    8903065500*ln2*z7)/56448000, H[-1, -1, -1, 1, 0, -1, -1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 2160000*ln2^2*s6 + 
    10944000*ln2*s7a - 11232000*ln2*s7b - 9705150*s8a - 32256000*s8b - 
    4032000*s8c - 4032000*s8d - 24192000*li6half*z2 - 
    8064000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 134400*ln2^6*z2 + 
    17136000*s6*z2 - 3024000*li4half*z2^2 + 504000*ln2^4*z2^2 - 
    3528000*ln2^2*z2^3 + 9504576*z2^4 + 10080000*li5half*z3 + 
    8064000*li4half*ln2*z3 + 252000*ln2^5*z3 - 1092000*ln2^3*z2*z3 + 
    7084800*ln2*z2^2*z3 + 10498500*ln2^2*z3^2 + 7780500*z2*z3^2 + 
    20370000*ln2^3*z5 + 60210000*ln2*z2*z5 - 34744500*z3*z5 - 
    117091125*ln2*z7)/8064000, H[-1, -1, -1, 1, 0, -1, -1, -1, 1] -> 
  (3528000*li4half^2 + 127008000*li8half + 56448000*li7half*ln2 + 
    10584000*li6half*ln2^2 + 1176000*li5half*ln2^3 + 441000*li4half*ln2^4 + 
    9100*ln2^8 - 7308000*ln2^2*s6 + 14616000*ln2*s7a - 3024000*ln2*s7b + 
    13798575*s8a + 165564000*s8b + 3024000*s8c + 14616000*s8d - 
    1764000*li4half*ln2^2*z2 - 85750*ln2^6*z2 - 38052000*s6*z2 + 
    100800*li4half*z2^2 + 165900*ln2^4*z2^2 - 1134000*ln2^2*z2^3 - 
    3740598*z2^4 - 29232000*li5half*z3 + 6174000*li4half*ln2*z3 + 
    526575*ln2^5*z3 - 3979500*ln2^3*z2*z3 - 14206500*ln2*z2^2*z3 + 
    11836125*ln2^2*z3^2 - 6347250*z2*z3^2 + 13744500*ln2^3*z5 + 
    362250*ln2*z2*z5 - 32389875*z3*z5 - 121282875*ln2*z7)/3528000, 
 H[-1, -1, -1, 1, -1, 1, 1, 1, 1] -> 
  (-4032000*li4half^2 - 56448000*li7half*ln2 - 28224000*li6half*ln2^2 - 
    5376000*li5half*ln2^3 - 672000*li4half*ln2^4 - 4000*ln2^8 + 
    5328000*ln2^2*s6 - 14400000*ln2*s7a + 3744000*ln2*s7b - 2419200*s8a + 
    2016000*li4half*ln2^2*z2 + 72800*ln2^6*z2 + 3225600*li4half*z2^2 - 
    252000*ln2^4*z2^2 - 4836000*ln2^2*z2^3 - 3173952*z2^4 - 
    7056000*li4half*ln2*z3 - 294000*ln2^5*z3 + 1764000*ln2^3*z2*z3 + 
    360000*ln2*z2^2*z3 - 7038000*ln2^2*z3^2 - 8064000*z2*z3^2 - 
    12201000*ln2^3*z5 - 33741000*ln2*z2*z5 + 32256000*z3*z5 + 
    105616125*ln2*z7)/8064000, H[-1, -1, -1, 1, -1, 1, 1, 0, 1] -> 
  (-3763200*li4half^2 - 112896000*li8half - 41395200*li7half*ln2 - 
    3763200*li6half*ln2^2 + 627200*li5half*ln2^3 - 156800*li4half*ln2^4 - 
    5040*ln2^8 + 6451200*ln2^2*s6 - 12633600*ln2*s7a - 21100800*ln2*s7b + 
    8930775*s8a - 49089600*s8b + 20832000*s8c - 22713600*s8d + 
    5644800*li5half*ln2*z2 + 4704000*li4half*ln2^2*z2 + 148960*ln2^6*z2 + 
    46368000*s6*z2 - 1532160*li4half*z2^2 - 471520*ln2^4*z2^2 + 
    40320*ln2^2*z2^3 + 19663312*z2^4 + 44016000*li5half*z3 - 
    7996800*li4half*ln2*z3 - 703920*ln2^5*z3 + 5941600*ln2^3*z2*z3 + 
    15466920*ln2*z2^2*z3 - 15472800*ln2^2*z3^2 - 10273200*z2*z3^2 + 
    5752600*ln2^3*z5 - 924000*ln2*z2*z5 - 26881575*z3*z5 - 140507325*ln2*z7)/
   3763200, H[-1, -1, -1, 1, -1, 1, 1, -1, 1] -> 
  (-56448000*li8half + 338688000*li7half*ln2 + 169344000*li6half*ln2^2 + 
    28224000*li5half*ln2^3 - 70000*ln2^8 + 10080000*ln2^2*s6 + 
    6048000*ln2*s7a - 332640000*ln2*s7b + 286016850*s8a + 1373904000*s8b + 
    306432000*s8c - 94752000*s8d + 274400*ln2^6*z2 + 83664000*s6*z2 - 
    18950400*li4half*z2^2 + 151200*ln2^4*z2^2 + 13994400*ln2^2*z2^3 + 
    193259016*z2^4 + 189504000*li5half*z3 - 1990800*ln2^5*z3 + 
    15792000*ln2^3*z2*z3 + 9777600*ln2*z2^2*z3 - 31563000*ln2^2*z3^2 - 
    249228000*z2*z3^2 + 222117000*ln2^3*z5 + 223650000*ln2*z2*z5 - 
    488328750*z3*z5 - 3709951875*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, -1, 1, 0, 1, 1] -> 
  (56448000*li4half^2 + 1862784000*li8half + 1157184000*li7half*ln2 + 
    324576000*li6half*ln2^2 + 51744000*li5half*ln2^3 + 
    9408000*li4half*ln2^4 + 130200*ln2^8 - 340200000*ln2^2*s6 + 
    261072000*ln2*s7a - 112896000*ln2*s7b + 510981975*s8a + 3511872000*s8b + 
    334656000*s8c + 349776000*s8d + 183456000*li6half*z2 + 
    84672000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 1685600*ln2^6*z2 - 
    925344000*s6*z2 + 24796800*li4half*z2^2 + 7883400*ln2^4*z2^2 + 
    91249200*ln2^2*z2^3 - 140467944*z2^4 - 763056000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 10533600*ln2^5*z3 - 96516000*ln2^3*z2*z3 - 
    476582400*ln2*z2^2*z3 + 199899000*ln2^2*z3^2 - 387040500*z2*z3^2 + 
    333249000*ln2^3*z5 - 670792500*ln2*z2*z5 + 388103625*z3*z5 - 
    1564557750*ln2*z7)/28224000, H[-1, -1, -1, 1, -1, 1, 0, 0, 1] -> 
  (564480000*li8half + 338688000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    25200*ln2^8 + 161280000*ln2^2*s6 + 40320000*ln2*s7a + 294336000*ln2*s7b - 
    439300575*s8a - 1637496000*s8b - 530208000*s8c + 64512000*s8d + 
    254016000*li6half*z2 + 84672000*li5half*ln2*z2 - 509600*ln2^6*z2 + 
    103824000*s6*z2 + 12902400*li4half*z2^2 + 4065600*ln2^4*z2^2 - 
    59724000*ln2^2*z2^3 - 261868392*z2^4 - 23184000*li5half*z3 + 
    546000*ln2^5*z3 - 6636000*ln2^3*z2*z3 + 192515400*ln2*z2^2*z3 + 
    82624500*ln2^2*z3^2 + 394348500*z2*z3^2 - 228438000*ln2^3*z5 + 
    730863000*ln2*z2*z5 - 102430125*z3*z5 + 2004156000*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, -1, 1, 0, -1, 1] -> 
  (11289600*li4half^2 + 107251200*li8half + 84672000*li7half*ln2 + 
    25401600*li6half*ln2^2 + 4704000*li5half*ln2^3 + 1881600*li4half*ln2^4 + 
    40740*ln2^8 + 1915200*ln2^2*s6 + 33868800*ln2*s7a + 33868800*ln2*s7b - 
    47935125*s8a - 166320000*s8b - 61689600*s8c + 24998400*s8d + 
    19756800*li6half*z2 + 8467200*li5half*ln2*z2 - 5644800*li4half*ln2^2*z2 - 
    368480*ln2^6*z2 - 25300800*s6*z2 - 4032000*li4half*z2^2 + 
    1113840*ln2^4*z2^2 - 876960*ln2^2*z2^3 - 40166184*z2^4 - 
    54230400*li5half*z3 + 19756800*li4half*ln2*z3 + 1428000*ln2^5*z3 - 
    10281600*ln2^3*z2*z3 - 5138280*ln2*z2^2*z3 + 38663100*ln2^2*z3^2 + 
    46664100*z2*z3^2 - 1484700*ln2^3*z5 + 84564900*ln2*z2*z5 + 
    50618925*z3*z5 + 315833175*ln2*z7)/5644800, 
 H[-1, -1, -1, 1, -1, 1, -1, 1, 1] -> 
  (-366912000*li8half - 84672000*li7half*ln2 + 7000*ln2^8 - 
    25200000*ln2^2*s6 + 3024000*ln2*s7a - 18144000*ln2*s7b - 26165475*s8a - 
    242424000*s8b + 44352000*s8c - 65520000*s8d - 98000*ln2^6*z2 + 
    141624000*s6*z2 - 13104000*li4half*z2^2 - 75600*ln2^4*z2^2 + 
    11155200*ln2^2*z2^3 + 69355164*z2^4 + 131040000*li5half*z3 - 
    680400*ln2^5*z3 + 10920000*ln2^3*z2*z3 + 34650000*ln2*z2^2*z3 - 
    38178000*ln2^2*z3^2 + 19215000*z2*z3^2 + 29032500*ln2^3*z5 - 
    79096500*ln2*z2*z5 - 188125875*z3*z5 - 112777875*ln2*z7)/28224000, 
 H[-1, -1, -1, 1, -1, 1, -1, 0, 1] -> 
  (437472000*li8half + 169344000*li7half*ln2 + 21168000*li6half*ln2^2 + 
    6650*ln2^8 - 17892000*ln2^2*s6 + 34776000*ln2*s7a + 45360000*ln2*s7b + 
    16540650*s8a + 300636000*s8b - 44352000*s8c + 72576000*s8d + 
    21168000*li6half*z2 - 19600*ln2^6*z2 - 164556000*s6*z2 + 
    14515200*li4half*z2^2 - 71400*ln2^4*z2^2 - 4863600*ln2^2*z2^3 - 
    73045536*z2^4 - 145152000*li5half*z3 + 1327200*ln2^5*z3 - 
    10038000*ln2^3*z2*z3 - 47325600*ln2*z2^2*z3 + 37028250*ln2^2*z3^2 + 
    3165750*z2*z3^2 - 7901250*ln2^3*z5 + 12269250*ln2*z2*z5 + 
    102075750*z3*z5 + 249393375*ln2*z7)/14112000, 
 H[-1, -1, -1, 1, -1, 1, -1, -1, 1] -> 
  (42336000*li4half^2 + 451584000*li8half + 169344000*li7half*ln2 + 
    42336000*li6half*ln2^2 + 14112000*li5half*ln2^3 + 7056000*li4half*ln2^4 + 
    140000*ln2^8 - 36792000*ln2^2*s6 + 120960000*ln2*s7a + 
    163296000*ln2*s7b - 93217950*s8a - 73584000*s8b - 189504000*s8c + 
    189504000*s8d - 21168000*li4half*ln2^2*z2 - 1078000*ln2^6*z2 - 
    379008000*s6*z2 + 4032000*li4half*z2^2 + 2343600*ln2^4*z2^2 + 
    15909600*ln2^2*z2^3 - 164183472*z2^4 - 379008000*li5half*z3 + 
    74088000*li4half*ln2*z3 + 6451200*ln2^5*z3 - 50106000*ln2^3*z2*z3 - 
    120078000*ln2*z2^2*z3 + 148081500*ln2^2*z3^2 + 121401000*z2*z3^2 - 
    42703500*ln2^3*z5 + 87507000*ln2*z2*z5 + 443819250*z3*z5 + 
    1563163875*ln2*z7)/28224000, H[-1, -1, -1, 1, -1, 0, 1, 1, 1] -> 
  (-84672000*li4half^2 - 677376000*li8half - 508032000*li7half*ln2 - 
    169344000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 278600*ln2^8 + 143136000*ln2^2*s6 - 
    108864000*ln2*s7a + 159264000*ln2*s7b - 241582950*s8a - 1840608000*s8b - 
    209664000*s8c - 185472000*s8d + 84672000*li6half*z2 + 
    28224000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 2156000*ln2^6*z2 + 
    554400000*s6*z2 - 24393600*li4half*z2^2 - 6014400*ln2^4*z2^2 - 
    41529600*ln2^2*z2^3 + 40587768*z2^4 + 589680000*li5half*z3 + 
    42336000*li4half*ln2*z3 - 4443600*ln2^5*z3 + 38556000*ln2^3*z2*z3 + 
    252655200*ln2*z2^2*z3 - 106375500*ln2^2*z3^2 + 275436000*z2*z3^2 - 
    247842000*ln2^3*z5 + 357840000*ln2*z2*z5 - 725098500*z3*z5 + 
    929289375*ln2*z7)/56448000, H[-1, -1, -1, 1, -1, 0, 1, 0, 1] -> 
  (169344000*li4half^2 - 1354752000*li8half - 903168000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 75264000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 204400*ln2^8 + 309456000*ln2^2*s6 - 
    227808000*ln2*s7a + 506016000*ln2*s7b - 928435725*s8a - 4713912000*s8b - 
    699552000*s8c - 288288000*s8d - 508032000*li6half*z2 - 
    338688000*li5half*ln2*z2 - 183456000*li4half*ln2^2*z2 - 
    5213600*ln2^6*z2 + 872928000*s6*z2 - 125395200*li4half*z2^2 + 
    15414000*ln2^4*z2^2 - 39429600*ln2^2*z2^3 + 62119944*z2^4 + 
    259056000*li5half*z3 + 7056000*li4half*ln2*z3 - 2570400*ln2^5*z3 + 
    4536000*ln2^3*z2*z3 + 349158600*ln2*z2^2*z3 - 86278500*ln2^2*z3^2 + 
    744502500*z2*z3^2 - 613578000*ln2^3*z5 + 756882000*ln2*z2*z5 - 
    116211375*z3*z5 + 4144714875*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, -1, 0, 1, -1, 1] -> 
  (-9408000*li4half^2 - 2540160000*li8half - 1636992000*li7half*ln2 - 
    395136000*li6half*ln2^2 - 37632000*li5half*ln2^3 - 
    1568000*li4half*ln2^4 - 22400*ln2^8 + 364896000*ln2^2*s6 - 
    358848000*ln2*s7a + 342048000*ln2*s7b - 694284150*s8a - 4684176000*s8b - 
    454272000*s8c - 387744000*s8d + 103488000*li5half*ln2*z2 + 
    89376000*li4half*ln2^2*z2 + 2861600*ln2^6*z2 + 1196496000*s6*z2 - 
    58732800*li4half*z2^2 - 18480000*ln2^4*z2^2 - 59892000*ln2^2*z2^3 + 
    126515736*z2^4 + 704928000*li5half*z3 - 129360000*li4half*ln2*z3 - 
    11107600*ln2^5*z3 + 115780000*ln2^3*z2*z3 + 469291200*ln2*z2^2*z3 - 
    296625000*ln2^2*z3^2 + 501522000*z2*z3^2 - 611569000*ln2^3*z5 + 
    154896000*ln2*z2*z5 - 164918250*z3*z5 + 3596725125*ln2*z7)/18816000, 
 H[-1, -1, -1, 1, -1, 0, 0, 1, 1] -> 
  (-169344000*li4half^2 + 112896000*li8half - 225792000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 18816000*li5half*ln2^3 - 
    14112000*li4half*ln2^4 - 246400*ln2^8 - 156240000*ln2^2*s6 + 
    133056000*ln2*s7a - 276192000*ln2*s7b + 461478150*s8a + 2598624000*s8b + 
    314496000*s8c + 320544000*s8d - 620928000*li6half*z2 - 
    338688000*li5half*ln2*z2 + 1724800*ln2^6*z2 - 1226736000*s6*z2 + 
    153014400*li4half*z2^2 + 260400*ln2^4*z2^2 + 21235200*ln2^2*z2^3 + 
    28851264*z2^4 - 189504000*li5half*z3 - 21168000*li4half*ln2*z3 + 
    1050000*ln2^5*z3 - 19908000*ln2^3*z2*z3 - 174837600*ln2*z2^2*z3 + 
    99162000*ln2^2*z3^2 - 309078000*z2*z3^2 + 351036000*ln2^3*z5 - 
    93807000*ln2*z2*z5 + 685676250*z3*z5 - 967593375*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, -1, 0, 0, 0, 1] -> 
  (84672000*li4half^2 + 7056000*li4half*ln2^4 + 147000*ln2^8 - 
    124992000*ln2^2*s6 + 66528000*ln2*s7a - 74592000*ln2*s7b + 
    220890600*s8a + 1085112000*s8b + 187488000*s8c + 66528000*s8d - 
    56448000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1607200*ln2^6*z2 - 228312000*s6*z2 - 
    79833600*li4half*z2^2 + 1201200*ln2^4*z2^2 + 58968000*ln2^2*z2^3 + 
    84160476*z2^4 - 253008000*li5half*z3 + 84672000*li4half*ln2*z3 + 
    5636400*ln2^5*z3 - 40488000*ln2^3*z2*z3 - 223889400*ln2*z2^2*z3 + 
    59220000*ln2^2*z3^2 - 171486000*z2*z3^2 + 127302000*ln2^3*z5 - 
    373999500*ln2*z2*z5 + 241975125*z3*z5 - 712317375*ln2*z7)/28224000, 
 H[-1, -1, -1, 1, -1, 0, 0, -1, 1] -> 
  (254016000*li4half^2 + 225792000*li7half*ln2 + 112896000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 + 21168000*li4half*ln2^4 + 396200*ln2^8 - 
    396144000*ln2^2*s6 + 423360000*ln2*s7a - 70560000*ln2*s7b + 
    470962800*s8a + 3627792000*s8b + 241920000*s8c + 435456000*s8d - 
    282240000*li6half*z2 - 169344000*li5half*ln2*z2 - 
    169344000*li4half*ln2^2*z2 - 5880000*ln2^6*z2 - 1287216000*s6*z2 - 
    137289600*li4half*z2^2 + 12801600*ln2^4*z2^2 + 180163200*ln2^2*z2^3 + 
    186886368*z2^4 - 616896000*li5half*z3 + 613872000*li4half*ln2*z3 + 
    30366000*ln2^5*z3 - 209580000*ln2^3*z2*z3 - 588319200*ln2*z2^2*z3 + 
    461664000*ln2^2*z3^2 - 292131000*z2*z3^2 + 432768000*ln2^3*z5 - 
    490266000*ln2*z2*z5 + 286996500*z3*z5 - 2145520125*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, -1, 0, -1, 1, 1] -> 
  (-141120000*li4half^2 + 9765504000*li8half + 6096384000*li7half*ln2 + 
    1524096000*li6half*ln2^2 + 188160000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 + 22400*ln2^8 - 1493856000*ln2^2*s6 + 
    1318464000*ln2*s7a - 1461600000*ln2*s7b + 2995186950*s8a + 
    19078416000*s8b + 1959552000*s8c + 1751904000*s8d - 
    169344000*li6half*z2 - 338688000*li5half*ln2*z2 - 
    183456000*li4half*ln2^2*z2 - 5919200*ln2^6*z2 - 5430096000*s6*z2 + 
    404006400*li4half*z2^2 + 55876800*ln2^4*z2^2 + 249328800*ln2^2*z2^3 - 
    684830808*z2^4 - 3165120000*li5half*z3 + 176400000*li4half*ln2*z3 + 
    34196400*ln2^5*z3 - 381948000*ln2^3*z2*z3 - 1939291200*ln2*z2^2*z3 + 
    1086309000*ln2^2*z3^2 - 2221569000*z2*z3^2 + 2494443000*ln2^3*z5 - 
    1159641000*ln2*z2*z5 + 2218434750*z3*z5 - 12458179125*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, -1, 0, -1, 0, 1] -> 
  (31752000*li4half^2 - 169344000*li8half - 112896000*li7half*ln2 - 
    42336000*li6half*ln2^2 - 9408000*li5half*ln2^3 + 1470000*li4half*ln2^4 + 
    43925*ln2^8 - 3150000*ln2^2*s6 - 18648000*ln2*s7a + 16632000*ln2*s7b - 
    15483825*s8a - 129906000*s8b + 3024000*s8c - 17136000*s8d - 
    21168000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    17640000*li4half*ln2^2*z2 - 607600*ln2^6*z2 + 47502000*s6*z2 - 
    24066000*li4half*z2^2 + 1092000*ln2^4*z2^2 + 10094700*ln2^2*z2^3 + 
    29301138*z2^4 - 4536000*li5half*z3 + 24696000*li4half*ln2*z3 + 
    949200*ln2^5*z3 - 6699000*ln2^3*z2*z3 - 15535800*ln2*z2^2*z3 - 
    4496625*ln2^2*z3^2 + 7764750*z2*z3^2 - 25835250*ln2^3*z5 - 
    52636500*ln2*z2*z5 + 17884125*z3*z5 + 117376875*ln2*z7)/7056000, 
 H[-1, -1, -1, 1, -1, 0, -1, -1, 1] -> 
  (4838400*li4half^2 - 45158400*li8half - 19353600*li7half*ln2 - 
    4838400*li6half*ln2^2 - 1075200*li5half*ln2^3 + 201600*li4half*ln2^4 + 
    4960*ln2^8 - 2361600*ln2^2*s6 + 345600*ln2*s7a + 2361600*ln2*s7b - 
    2419200*li4half*ln2^2*z2 - 88480*ln2^6*z2 - 3870720*li4half*z2^2 + 
    221760*ln2^4*z2^2 + 3224160*ln2^2*z2^3 + 6967296*z2^4 + 
    806400*li5half*z3 + 9072000*li4half*ln2*z3 + 334320*ln2^5*z3 - 
    2200800*ln2^3*z2*z3 - 3879360*ln2*z2^2*z3 + 3216600*ln2^2*z3^2 - 
    1612800*ln2^3*z5 - 7000200*ln2*z2*z5 - 806400*z3*z5 - 13205475*ln2*z7)/
   1612800, H[-1, -1, -1, 1, -1, -1, 1, 1, 1] -> 
  (-1749888000*li8half - 677376000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    28000*ln2^8 + 237888000*ln2^2*s6 - 157248000*ln2*s7a + 
    223776000*ln2*s7b - 393825600*s8a - 3298176000*s8b - 330624000*s8c - 
    262080000*s8d + 156800*ln2^6*z2 + 820512000*s6*z2 - 
    52416000*li4half*z2^2 - 1243200*ln2^4*z2^2 + 6501600*ln2^2*z2^3 + 
    72456624*z2^4 + 524160000*li5half*z3 - 4779600*ln2^5*z3 + 
    43680000*ln2^3*z2*z3 + 313236000*ln2*z2^2*z3 - 133749000*ln2^2*z3^2 + 
    374094000*z2*z3^2 - 420420000*ln2^3*z5 + 604863000*ln2*z2*z5 - 
    195300000*z3*z5 + 1517347125*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, -1, -1, 1, 0, 1] -> 
  (-2688000*li4half^2 + 88704000*li8half + 34944000*li7half*ln2 + 
    4032000*li6half*ln2^2 - 448000*li5half*ln2^3 - 448000*li4half*ln2^4 - 
    9400*ln2^8 - 48000*ln2^2*s6 - 3648000*ln2*s7a - 2304000*ln2*s7b + 
    2924775*s8a + 74088000*s8b + 6048000*s8c + 12096000*li6half*z2 + 
    4032000*li5half*ln2*z2 + 1344000*li4half*ln2^2*z2 + 56000*ln2^6*z2 + 
    2016000*s6*z2 + 2150400*li4half*z2^2 - 39200*ln2^4*z2^2 - 
    2916000*ln2^2*z2^3 - 3700536*z2^4 - 1008000*li5half*z3 - 
    4704000*li4half*ln2*z3 - 224000*ln2^5*z3 + 896000*ln2^3*z2*z3 - 
    1189800*ln2*z2^2*z3 - 4203000*ln2^2*z3^2 - 7791000*z2*z3^2 - 
    1071000*ln2^3*z5 - 26559000*ln2*z2*z5 - 31308375*z3*z5 - 41696250*ln2*z7)/
   2688000, H[-1, -1, -1, 1, -1, -1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 1580544000*li8half + 508032000*li7half*ln2 - 
    28224000*li5half*ln2^3 - 14112000*li4half*ln2^4 - 266000*ln2^8 - 
    141120000*ln2^2*s6 - 36288000*ln2*s7a - 247968000*ln2*s7b + 
    371517300*s8a + 2209536000*s8b + 354816000*s8c + 68544000*s8d + 
    42336000*li4half*ln2^2*z2 + 2195200*ln2^6*z2 - 348768000*s6*z2 + 
    81446400*li4half*z2^2 - 2839200*ln2^4*z2^2 - 52466400*ln2^2*z2^3 - 
    78353712*z2^4 - 137088000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    5854800*ln2^5*z3 + 25620000*ln2^3*z2*z3 - 115012800*ln2*z2^2*z3 - 
    52038000*ln2^2*z3^2 - 333144000*z2*z3^2 + 311052000*ln2^3*z5 - 
    611667000*ln2*z2*z5 - 33169500*z3*z5 - 1040689125*ln2*z7)/56448000, 
 H[-1, -1, -1, 1, -1, -1, 0, 1, 1] -> 
  (-1209600*li4half^2 - 52416000*li8half - 32256000*li7half*ln2 - 
    8870400*li6half*ln2^2 - 1344000*li5half*ln2^3 - 201600*li4half*ln2^4 - 
    2320*ln2^8 + 7948800*ln2^2*s6 - 3916800*ln2*s7a + 5356800*ln2*s7b - 
    16512300*s8a - 95356800*s8b - 11692800*s8c - 6451200*s8d - 
    7660800*li6half*z2 - 4838400*li5half*ln2*z2 - 604800*li4half*ln2^2*z2 + 
    3360*ln2^6*z2 + 20462400*s6*z2 - 504000*li4half*z2^2 - 40320*ln2^4*z2^2 - 
    1949760*ln2^2*z2^3 + 3913884*z2^4 + 16228800*li5half*z3 - 
    604800*li4half*ln2*z3 - 156240*ln2^5*z3 + 1386000*ln2^3*z2*z3 + 
    11064960*ln2*z2^2*z3 - 2527200*ln2^2*z3^2 + 12439350*z2*z3^2 - 
    8610000*ln2^3*z5 + 15827400*ln2*z2*z5 - 7996275*z3*z5 + 62306775*ln2*z7)/
   806400, H[-1, -1, -1, 1, -1, -1, 0, 0, 1] -> 
  (36288000*li4half^2 - 64512000*li8half - 32256000*li7half*ln2 + 
    2688000*li5half*ln2^3 + 3696000*li4half*ln2^4 + 73400*ln2^8 - 
    43776000*ln2^2*s6 + 35712000*ln2*s7a - 2592000*ln2*s7b + 60083100*s8a + 
    245952000*s8b + 36288000*s8c + 32256000*s8d - 40320000*li6half*z2 - 
    16128000*li5half*ln2*z2 - 20160000*li4half*ln2^2*z2 - 795200*ln2^6*z2 - 
    98784000*s6*z2 - 21369600*li4half*z2^2 + 1125600*ln2^4*z2^2 + 
    21708000*ln2^2*z2^3 + 16263576*z2^4 - 96768000*li5half*z3 + 
    46368000*li4half*ln2*z3 + 2805600*ln2^5*z3 - 19572000*ln2^3*z2*z3 - 
    72838800*ln2*z2^2*z3 + 34402500*ln2^2*z3^2 - 38398500*z2*z3^2 + 
    33936000*ln2^3*z5 - 101880000*ln2*z2*z5 + 146396250*z3*z5 - 
    16867125*ln2*z7)/8064000, H[-1, -1, -1, 1, -1, -1, 0, -1, 1] -> 
  (169344000*li4half^2 - 338688000*li8half - 225792000*li7half*ln2 - 
    28224000*li6half*ln2^2 + 9408000*li5half*ln2^3 + 17640000*li4half*ln2^4 + 
    359800*ln2^8 - 183960000*ln2^2*s6 + 179424000*ln2*s7a + 
    151200000*ln2*s7b + 92540700*s8a + 1031184000*s8b - 12096000*s8c + 
    223776000*s8d - 141120000*li6half*z2 - 84672000*li5half*ln2*z2 - 
    105840000*li4half*ln2^2*z2 - 4135600*ln2^6*z2 - 553392000*s6*z2 - 
    90720000*li4half*z2^2 + 6568800*ln2^4*z2^2 + 101858400*ln2^2*z2^3 + 
    72751032*z2^4 - 405216000*li5half*z3 + 317520000*li4half*ln2*z3 + 
    17283000*ln2^5*z3 - 115206000*ln2^3*z2*z3 - 311799600*ln2*z2^2*z3 + 
    206797500*ln2^2*z3^2 - 45171000*z2*z3^2 + 25651500*ln2^3*z5 - 
    463428000*ln2*z2*z5 + 384898500*z3*z5 + 513552375*ln2*z7)/28224000, 
 H[-1, -1, -1, 1, -1, -1, -1, 1, 1] -> 
  (3528000*li4half^2 + 254016000*li8half + 112896000*li7half*ln2 + 
    21168000*li6half*ln2^2 + 2352000*li5half*ln2^3 + 588000*li4half*ln2^4 + 
    12250*ln2^8 - 7308000*ln2^2*s6 + 14616000*ln2*s7a - 3024000*ln2*s7b + 
    13798575*s8a + 165564000*s8b + 3024000*s8c + 14616000*s8d - 
    1764000*li4half*ln2^2*z2 - 98000*ln2^6*z2 - 38052000*s6*z2 + 
    100800*li4half*z2^2 + 107100*ln2^4*z2^2 - 5166000*ln2^2*z2^3 - 
    21158838*z2^4 - 29232000*li5half*z3 + 6174000*li4half*ln2*z3 + 
    552300*ln2^5*z3 - 3979500*ln2^3*z2*z3 - 14206500*ln2*z2^2*z3 + 
    11836125*ln2^2*z3^2 - 6347250*z2*z3^2 + 16096500*ln2^3*z5 + 
    362250*ln2*z2*z5 - 32389875*z3*z5 - 50722875*ln2*z7)/7056000, 
 H[-1, -1, -1, 1, -1, -1, -1, 0, 1] -> 
  (-2032128000*li8half - 903168000*li7half*ln2 - 169344000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 47600*ln2^8 + 
    59472000*ln2^2*s6 - 40320000*ln2*s7a - 54432000*ln2*s7b - 110388600*s8a - 
    1324512000*s8b - 24192000*s8c - 116928000*s8d - 282240000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 + 196000*ln2^6*z2 + 
    304416000*s6*z2 - 23385600*li4half*z2^2 - 33600*ln2^4*z2^2 + 
    32407200*ln2^2*z2^3 + 238298544*z2^4 + 262080000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 2360400*ln2^5*z3 + 20076000*ln2^3*z2*z3 + 
    125848800*ln2*z2^2*z3 - 24948000*ln2^2*z3^2 + 50778000*z2*z3^2 + 
    13377000*ln2^3*z5 + 345807000*ln2*z2*z5 + 230895000*z3*z5 - 
    426974625*ln2*z7)/56448000, H[-1, -1, -1, 1, -1, -1, -1, -1, 1] -> 
  (-14700*li8half - 6300*li7half*ln2 - 1050*li6half*ln2^2 - 
    70*li5half*ln2^3 + 7*ln2^4*z2^2 + 480*ln2^2*z2^3 + 2016*z2^4 - 
    280*ln2^3*z5 - 8400*ln2*z7)/420, H[-1, -1, -1, 0, 1, 1, 1, 1, 1] -> 
  (-134400*li4half^2 - 672000*li8half - 268800*li7half*ln2 + 
    22400*li5half*ln2^3 - 5600*li4half*ln2^4 - 150*ln2^8 + 67200*ln2^2*s6 - 
    67200*ln2*s7a - 70350*s8a - 739200*s8b - 134400*s8d + 134400*li6half*z2 + 
    33600*li4half*ln2^2*z2 + 1400*ln2^6*z2 + 369600*s6*z2 + 
    33600*li4half*z2^2 - 1400*ln2^4*z2^2 - 35280*ln2^2*z2^3 + 57264*z2^4 + 
    235200*li5half*z3 - 134400*li4half*ln2*z3 - 7560*ln2^5*z3 + 
    43400*ln2^3*z2*z3 + 97440*ln2*z2^2*z3 - 109725*ln2^2*z3^2 + 
    50400*z2*z3^2 - 64400*ln2^3*z5 - 2100*ln2*z2*z5 - 154875*z3*z5 + 
    81375*ln2*z7)/134400, H[-1, -1, -1, 0, 1, 1, 1, 0, 1] -> 
  (112896000*li4half^2 + 9408000*li4half*ln2^4 + 196000*ln2^8 - 
    23184000*ln2^2*s6 + 112896000*ln2*s7a + 112896000*ln2*s7b - 
    179548425*s8a - 657720000*s8b - 179424000*s8c + 38304000*s8d + 
    28224000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1999200*ln2^6*z2 - 
    6048000*s6*z2 - 61488000*li4half*z2^2 + 3318000*ln2^4*z2^2 + 
    5275200*ln2^2*z2^3 - 39850488*z2^4 - 83664000*li5half*z3 + 
    141120000*li4half*ln2*z3 + 6577200*ln2^5*z3 - 32844000*ln2^3*z2*z3 + 
    4800600*ln2*z2^2*z3 + 112770000*ln2^2*z3^2 + 164115000*z2*z3^2 + 
    17346000*ln2^3*z5 + 203112000*ln2*z2*z5 - 22073625*z3*z5 + 
    919705500*ln2*z7)/56448000, H[-1, -1, -1, 0, 1, 1, 1, -1, 1] -> 
  (84672000*li4half^2 + 112896000*li7half*ln2 + 112896000*li6half*ln2^2 + 
    9408000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 7000*ln2^8 + 
    23184000*ln2^2*s6 + 94752000*ln2*s7a + 108864000*ln2*s7b - 
    179548425*s8a - 657720000*s8b - 179424000*s8c + 38304000*s8d - 
    28224000*li4half*ln2^2*z2 + 1254400*ln2^6*z2 - 6048000*s6*z2 - 
    53020800*li4half*z2^2 - 6913200*ln2^4*z2^2 + 504000*ln2^2*z2^3 - 
    42652728*z2^4 - 76608000*li5half*z3 + 105840000*li4half*ln2*z3 + 
    5048400*ln2^5*z3 - 20496000*ln2^3*z2*z3 + 18837000*ln2*z2^2*z3 + 
    82152000*ln2^2*z3^2 + 171832500*z2*z3^2 - 4851000*ln2^3*z5 + 
    218043000*ln2*z2*z5 - 22955625*z3*z5 + 790665750*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, 1, 1, 0, 1, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 4320000*ln2^2*s6 - 
    4752000*ln2*s7a - 7776000*ln2*s7b + 22824900*s8a + 89208000*s8b + 
    18144000*s8c + 3024000*s8d + 4032000*li5half*ln2*z2 + 
    1008000*li4half*ln2^2*z2 + 8400*ln2^6*z2 - 18144000*s6*z2 - 
    1310400*li4half*z2^2 - 96600*ln2^4*z2^2 + 4348800*ln2^2*z2^3 + 
    1907424*z2^4 - 8568000*li5half*z3 + 1008000*li4half*ln2*z3 + 
    113400*ln2^5*z3 - 2310000*ln2^3*z2*z3 - 12443400*ln2*z2^2*z3 - 
    1608750*ln2^2*z3^2 - 19876500*z2*z3^2 + 2047500*ln2^3*z5 - 
    34645500*ln2*z2*z5 + 31917375*z3*z5 - 58822875*ln2*z7)/4032000, 
 H[-1, -1, -1, 0, 1, 1, 0, 0, 1] -> 
  (-168000*ln2^2*s6 + 672000*ln2*s7a + 672000*ln2*s7b - 911925*s8a - 
    3360000*s8b - 1008000*s8c + 336000*s8d - 336000*s6*z2 - 
    252000*li4half*z2^2 - 10500*ln2^4*z2^2 - 27200*ln2^2*z2^3 - 335478*z2^4 - 
    168000*li5half*z3 + 504000*li4half*ln2*z3 + 22400*ln2^5*z3 - 
    28000*ln2^3*z2*z3 - 126000*ln2*z2^2*z3 + 561750*ln2^2*z3^2 + 
    1068375*z2*z3^2 + 161000*ln2^3*z5 + 1260000*ln2*z2*z5 + 55125*z3*z5 + 
    5811750*ln2*z7)/672000, H[-1, -1, -1, 0, 1, 1, 0, -1, 1] -> 
  (56448000*li4half^2 + 4704000*li4half*ln2^4 + 98000*ln2^8 + 
    33264000*ln2*s7a + 54432000*ln2*s7b - 49618800*s8a - 192024000*s8b - 
    66528000*s8c + 24192000*s8d + 14112000*li5half*ln2*z2 - 
    21168000*li4half*ln2^2*z2 - 999600*ln2^6*z2 - 27216000*s6*z2 - 
    41731200*li4half*z2^2 + 1201200*ln2^4*z2^2 + 14036400*ln2^2*z2^3 - 
    19011348*z2^4 - 55440000*li5half*z3 + 91728000*li4half*ln2*z3 + 
    4284000*ln2^5*z3 - 28434000*ln2^3*z2*z3 - 39690000*ln2*z2^2*z3 + 
    61409250*ln2^2*z3^2 + 50888250*z2*z3^2 - 23446500*ln2^3*z5 + 
    28003500*ln2*z2*z5 + 71253000*z3*z5 + 411760125*ln2*z7)/28224000, 
 H[-1, -1, -1, 0, 1, 1, -1, 1, 1] -> 
  (84672000*li4half^2 - 903168000*li8half - 395136000*li7half*ln2 - 
    338688000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 163800*ln2^8 - 50400000*ln2^2*s6 - 
    82656000*ln2*s7a + 2016000*ln2*s7b - 19092150*s8a - 812448000*s8b + 
    12096000*s8c - 124992000*s8d - 28224000*li4half*ln2^2*z2 - 
    5723200*ln2^6*z2 + 306432000*s6*z2 - 94147200*li4half*z2^2 + 
    29710800*ln2^4*z2^2 + 55742400*ln2^2*z2^3 + 87847056*z2^4 + 
    278208000*li5half*z3 + 134064000*li4half*ln2*z3 + 2856000*ln2^5*z3 - 
    30912000*ln2^3*z2*z3 + 41958000*ln2*z2^2*z3 + 19782000*ln2^2*z3^2 - 
    33547500*z2*z3^2 - 68649000*ln2^3*z5 - 44856000*ln2*z2*z5 + 
    144522000*z3*z5 + 127141875*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, 1, 1, -1, 0, 1] -> 
  (-11289600*li4half^2 + 903168000*li8half + 7526400*li5half*ln2^3 - 
    940800*li4half*ln2^4 - 59920*ln2^8 - 118540800*ln2^2*s6 - 
    9273600*ln2*s7a + 30240000*ln2*s7b + 311760225*s8a + 1957435200*s8b + 
    218937600*s8c + 176198400*s8d + 16934400*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 + 211680*ln2^6*z2 - 554198400*s6*z2 + 
    43142400*li4half*z2^2 - 8174880*ln2^4*z2^2 + 18167520*ln2^2*z2^3 - 
    61197984*z2^4 - 356630400*li5half*z3 - 11289600*li4half*ln2*z3 + 
    2501520*ln2^5*z3 - 24662400*ln2^3*z2*z3 - 260066520*ln2*z2^2*z3 - 
    46393200*ln2^2*z3^2 - 231588000*z2*z3^2 - 39925200*ln2^3*z5 - 
    757108800*ln2*z2*z5 + 261183825*z3*z5 + 204140475*ln2*z7)/11289600, 
 H[-1, -1, -1, 0, 1, 1, -1, -1, 1] -> 
  (12096000*li4half^2 + 249984000*li8half + 56448000*li7half*ln2 + 
    32256000*li6half*ln2^2 + 6720000*li5half*ln2^3 + 1344000*li4half*ln2^4 + 
    18800*ln2^8 - 6912000*ln2^2*s6 - 1152000*ln2*s7a + 16992000*ln2*s7b + 
    38022075*s8a + 274680000*s8b + 26208000*s8c + 18144000*s8d - 
    8064000*li4half*ln2^2*z2 + 201600*ln2^6*z2 - 58464000*s6*z2 - 
    6048000*li4half*z2^2 - 2805600*ln2^4*z2^2 - 158400*ln2^2*z2^3 - 
    14725728*z2^4 - 36288000*li5half*z3 + 23184000*li4half*ln2*z3 + 
    1327200*ln2^5*z3 - 9156000*ln2^3*z2*z3 - 42168600*ln2*z2^2*z3 - 
    6354000*ln2^2*z3^2 - 27436500*z2*z3^2 - 22743000*ln2^3*z5 - 
    129105000*ln2*z2*z5 - 14608125*z3*z5 + 77059125*ln2*z7)/8064000, 
 H[-1, -1, -1, 0, 1, 0, 1, 1, 1] -> (28224000*li4half^2 + 270950400*li8half + 
    135475200*li7half*ln2 + 22579200*li6half*ln2^2 + 2352000*li4half*ln2^4 + 
    60200*ln2^8 - 17136000*ln2^2*s6 + 41529600*ln2*s7a + 16128000*ln2*s7b - 
    15757875*s8a + 130132800*s8b - 37497600*s8c + 51609600*s8d - 
    67737600*li6half*z2 - 22579200*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 - 122976000*s6*z2 - 
    11410560*li4half*z2^2 + 818160*ln2^4*z2^2 + 5292000*ln2^2*z2^3 - 
    27277848*z2^4 - 63705600*li5half*z3 + 43747200*li4half*ln2*z3 + 
    2682960*ln2^5*z3 - 10600800*ln2^3*z2*z3 - 18756360*ln2*z2^2*z3 + 
    43999200*ln2^2*z3^2 + 29578500*z2*z3^2 + 23373000*ln2^3*z5 + 
    76847400*ln2*z2*z5 - 1737225*z3*z5 + 71322300*ln2*z7)/11289600, 
 H[-1, -1, -1, 0, 1, 0, 1, 0, 1] -> 
  (-16128000*li4half^2 - 1344000*li4half*ln2^4 - 28000*ln2^8 + 
    6048000*ln2^2*s6 - 16128000*ln2*s7a - 16128000*ln2*s7b + 14060025*s8a + 
    44352000*s8b + 20160000*s8c - 12096000*s8d + 4032000*li6half*z2 + 
    8064000*li4half*ln2^2*z2 + 341600*ln2^6*z2 + 21168000*s6*z2 + 
    10432800*li4half*z2^2 - 657300*ln2^4*z2^2 - 3855600*ln2^2*z2^3 + 
    6876054*z2^4 + 21168000*li5half*z3 - 24192000*li4half*ln2*z3 - 
    1184400*ln2^5*z3 + 7728000*ln2^3*z2*z3 + 9878400*ln2*z2^2*z3 - 
    18207000*ln2^2*z3^2 - 15616125*z2*z3^2 - 1932000*ln2^3*z5 - 
    14017500*ln2*z2*z5 - 26853750*z3*z5 - 129740625*ln2*z7)/2016000, 
 H[-1, -1, -1, 0, 1, 0, 1, -1, 1] -> 
  (-451584000*li4half^2 - 2483712000*li8half - 677376000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 28224000*li4half*ln2^4 - 476000*ln2^8 + 
    476784000*ln2^2*s6 - 506016000*ln2*s7a - 379008000*ln2*s7b - 
    406748475*s8a - 3883320000*s8b + 2016000*s8c - 792288000*s8d + 
    28224000*li5half*ln2*z2 + 141120000*li4half*ln2^2*z2 + 4547200*ln2^6*z2 + 
    1979712000*s6*z2 + 191520000*li4half*z2^2 + 22797600*ln2^4*z2^2 - 
    140968800*ln2^2*z2^3 + 367514424*z2^4 + 1584576000*li5half*z3 - 
    712656000*li4half*ln2*z3 - 44545200*ln2^5*z3 + 238476000*ln2^3*z2*z3 + 
    969683400*ln2*z2^2*z3 - 523656000*ln2^2*z3^2 + 171580500*z2*z3^2 - 
    180663000*ln2^3*z5 + 1059219000*ln2*z2*z5 - 1394701875*z3*z5 - 
    2902252500*ln2*z7)/56448000, H[-1, -1, -1, 0, 1, 0, 0, 1, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    45864000*ln2^2*s6 + 29232000*ln2*s7a - 6048000*ln2*s7b + 70188300*s8a + 
    408240000*s8b + 33264000*s8c + 58464000*s8d + 56448000*li6half*z2 - 
    7056000*li4half*ln2^2*z2 - 215600*ln2^6*z2 - 166320000*s6*z2 + 
    3225600*li4half*z2^2 - 159600*ln2^4*z2^2 + 8005200*ln2^2*z2^3 - 
    16333692*z2^4 - 131040000*li5half*z3 + 10584000*li4half*ln2*z3 + 
    1533000*ln2^5*z3 - 10038000*ln2^3*z2*z3 - 64694700*ln2*z2^2*z3 + 
    24034500*ln2^2*z3^2 - 43470000*z2*z3^2 + 49318500*ln2^3*z5 - 
    62842500*ln2*z2*z5 + 152239500*z3*z5 - 33586875*ln2*z7)/14112000, 
 H[-1, -1, -1, 0, 1, 0, 0, 0, 1] -> 
  (3360000*ln2^2*s6 - 13840575*s8a - 104496000*s8b - 6720000*s8c - 
    12096000*s8d + 33600000*s6*z2 - 772800*li4half*z2^2 - 32200*ln2^4*z2^2 - 
    5404000*ln2^2*z2^3 - 3352052*z2^4 + 24192000*li5half*z3 - 
    201600*ln2^5*z3 + 2016000*ln2^3*z2*z3 + 15195600*ln2*z2^2*z3 - 
    819000*ln2^2*z3^2 + 7281750*z2*z3^2 + 2940000*ln2^3*z5 + 
    30009000*ln2*z2*z5 - 11095875*z3*z5 + 40039125*ln2*z7)/4704000, 
 H[-1, -1, -1, 0, 1, 0, 0, -1, 1] -> 
  (48888000*ln2^2*s6 - 29232000*ln2*s7a + 6048000*ln2*s7b - 90740475*s8a - 
    665280000*s8b - 39312000*s8c - 101808000*s8d + 28224000*li6half*z2 + 
    39200*ln2^6*z2 + 281232000*s6*z2 - 18597600*li4half*z2^2 - 
    1362900*ln2^4*z2^2 - 33381600*ln2^2*z2^3 - 2635536*z2^4 + 
    193032000*li5half*z3 - 10584000*li4half*ln2*z3 - 2049600*ln2^5*z3 + 
    23142000*ln2^3*z2*z3 + 101814300*ln2*z2^2*z3 - 50967000*ln2^2*z3^2 + 
    59086125*z2*z3^2 - 21976500*ln2^3*z5 + 108108000*ln2*z2*z5 - 
    196772625*z3*z5 + 215609625*ln2*z7)/14112000, 
 H[-1, -1, -1, 0, 1, 0, -1, 1, 1] -> 
  (-1128960000*li8half - 903168000*li7half*ln2 - 112896000*li6half*ln2^2 - 
    9408000*li4half*ln2^4 - 397600*ln2^8 + 207648000*ln2^2*s6 - 
    90720000*ln2*s7a + 219744000*ln2*s7b - 264785850*s8a - 1224720000*s8b - 
    290304000*s8c + 92736000*s8d + 451584000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 5174400*ln2^6*z2 + 
    68544000*s6*z2 + 38304000*li4half*z2^2 - 41445600*ln2^4*z2^2 - 
    90972000*ln2^2*z2^3 - 75744216*z2^4 - 333648000*li5half*z3 - 
    141120000*li4half*ln2*z3 - 3099600*ln2^5*z3 + 92148000*ln2^3*z2*z3 + 
    46116000*ln2*z2^2*z3 - 111604500*ln2^2*z3^2 + 215743500*z2*z3^2 - 
    267246000*ln2^3*z5 + 205128000*ln2*z2*z5 + 418556250*z3*z5 + 
    2041207875*ln2*z7)/56448000, H[-1, -1, -1, 0, 1, 0, -1, 0, 1] -> 
  (-11289600*li4half^2 - 940800*li4half*ln2^4 - 19600*ln2^8 + 
    3628800*ln2^2*s6 - 11289600*ln2*s7a - 11289600*ln2*s7b + 6663825*s8a - 
    12801600*s8b + 15321600*s8c - 15321600*s8d - 11289600*li6half*z2 + 
    5644800*li4half*ln2^2*z2 + 219520*ln2^6*z2 + 27820800*s6*z2 + 
    4697280*li4half*z2^2 - 274680*ln2^4*z2^2 - 1643040*ln2^2*z2^3 + 
    5972688*z2^4 + 39110400*li5half*z3 - 11289600*li4half*ln2*z3 - 
    796320*ln2^5*z3 + 4670400*ln2^3*z2*z3 + 12121200*ln2*z2^2*z3 - 
    13003200*ln2^2*z3^2 - 10984050*z2*z3^2 - 1881600*ln2^3*z5 - 
    10243800*ln2*z2*z5 - 24366825*z3*z5 - 68343975*ln2*z7)/5644800, 
 H[-1, -1, -1, 0, 1, 0, -1, -1, 1] -> 
  (-84672000*li4half^2 + 2257920000*li8half + 903168000*li7half*ln2 + 
    112896000*li6half*ln2^2 - 7056000*li4half*ln2^4 - 113400*ln2^8 - 
    327600000*ln2^2*s6 + 50400000*ln2*s7a - 260064000*ln2*s7b + 
    728470575*s8a + 4069800000*s8b + 610848000*s8c + 207648000*s8d + 
    42336000*li4half*ln2^2*z2 + 1607200*ln2^6*z2 - 824544000*s6*z2 + 
    109267200*li4half*z2^2 - 739200*ln2^4*z2^2 + 26409600*ln2^2*z2^3 - 
    109830888*z2^4 - 422352000*li5half*z3 - 155232000*li4half*ln2*z3 - 
    2948400*ln2^5*z3 + 7728000*ln2^3*z2*z3 - 348024600*ln2*z2^2*z3 - 
    88830000*ln2^2*z3^2 - 592861500*z2*z3^2 + 312816000*ln2^3*z5 - 
    1058904000*ln2*z2*z5 + 237675375*z3*z5 - 1942455375*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, 1, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 + 677376000*li8half - 225792000*li7half*ln2 + 
    141120000*li6half*ln2^2 - 28224000*li5half*ln2^3 - 
    16464000*li4half*ln2^4 - 46200*ln2^8 + 80640000*ln2^2*s6 - 
    4032000*ln2*s7a + 108864000*ln2*s7b - 23012325*s8a + 378504000*s8b - 
    26208000*s8c + 82656000*s8d + 282240000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 3920000*ln2^6*z2 - 
    45360000*s6*z2 + 81446400*li4half*z2^2 - 32592000*ln2^4*z2^2 - 
    84974400*ln2^2*z2^3 - 125011512*z2^4 - 405216000*li5half*z3 - 
    141120000*li4half*ln2*z3 - 1680000*ln2^5*z3 + 30324000*ln2^3*z2*z3 - 
    109909800*ln2*z2^2*z3 - 83821500*ln2^2*z3^2 - 22018500*z2*z3^2 - 
    95991000*ln2^3*z5 - 395073000*ln2*z2*z5 + 206789625*z3*z5 + 
    1223176500*ln2*z7)/56448000, H[-1, -1, -1, 0, 1, -1, 1, 0, 1] -> 
  (-1612800*li4half^2 - 258048000*li8half - 2150400*li5half*ln2^3 - 
    134400*li4half*ln2^4 + 8720*ln2^8 + 31248000*ln2^2*s6 - 
    11289600*ln2*s7b - 80046225*s8a - 508132800*s8b - 54432000*s8c - 
    46368000*s8d - 5644800*li6half*z2 - 7257600*li5half*ln2*z2 + 
    403200*li4half*ln2^2*z2 + 69440*ln2^6*z2 + 141321600*s6*z2 - 
    7862400*li4half*z2^2 + 1631280*ln2^4*z2^2 - 4004160*ln2^2*z2^3 + 
    19250856*z2^4 + 100195200*li5half*z3 - 2620800*li4half*ln2*z3 - 
    944160*ln2^5*z3 + 8971200*ln2^3*z2*z3 + 71242920*ln2*z2^2*z3 + 
    8820000*ln2^2*z3^2 + 60883200*z2*z3^2 + 11743200*ln2^3*z5 + 
    202381200*ln2*z2*z5 - 75525975*z3*z5 - 81159750*ln2*z7)/1612800, 
 H[-1, -1, -1, 0, 1, -1, 1, -1, 1] -> 
  (-84672000*li4half^2 + 733824000*li8half + 225792000*li7half*ln2 - 
    254016000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 4704000*li4half*ln2^4 - 
    506800*ln2^8 - 188496000*ln2^2*s6 - 104832000*ln2*s7a - 
    260064000*ln2*s7b + 571082400*s8a + 3165120000*s8b + 487872000*s8c + 
    118944000*s8d - 112896000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 - 
    784000*ln2^6*z2 - 541296000*s6*z2 + 91526400*li4half*z2^2 + 
    20865600*ln2^4*z2^2 + 33213600*ln2^2*z2^3 + 84222504*z2^4 - 
    181440000*li5half*z3 - 155232000*li4half*ln2*z3 - 5779200*ln2^5*z3 + 
    16044000*ln2^3*z2*z3 - 197517600*ln2*z2^2*z3 - 100863000*ln2^2*z3^2 - 
    470421000*z2*z3^2 + 95991000*ln2^3*z5 - 544446000*ln2*z2*z5 - 
    38524500*z3*z5 - 2784434625*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, 1, -1, 0, 1, 1] -> 
  (225792000*li4half^2 + 6773760000*li8half + 1806336000*li7half*ln2 + 
    37632000*li4half*ln2^4 + 985600*ln2^8 - 958608000*ln2^2*s6 + 
    239904000*ln2*s7a - 282240000*ln2*s7b + 1893998925*s8a + 
    11997720000*s8b + 1296288000*s8c + 905184000*s8d - 
    1072512000*li6half*z2 - 56448000*li5half*ln2*z2 - 
    28224000*li4half*ln2^2*z2 - 4076800*ln2^6*z2 - 3475584000*s6*z2 + 
    13104000*li4half*z2^2 + 14658000*ln2^4*z2^2 + 230932800*ln2^2*z2^3 - 
    217182312*z2^4 - 1662192000*li5half*z3 + 289296000*li4half*ln2*z3 + 
    25905600*ln2^5*z3 - 224952000*ln2^3*z2*z3 - 1353227400*ln2*z2^2*z3 + 
    197410500*ln2^2*z3^2 - 1223145000*z2*z3^2 + 559188000*ln2^3*z5 - 
    2917341000*ln2*z2*z5 + 623503125*z3*z5 - 3432413250*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, 1, -1, 0, 0, 1] -> 
  (-141120000*li4half^2 - 11760000*li4half*ln2^4 - 245000*ln2^8 - 
    138096000*ln2^2*s6 - 50400000*ln2*s7a - 50400000*ln2*s7b + 
    280967400*s8a + 1222200000*s8b + 235872000*s8c + 131040000*s8d + 
    98784000*li4half*ln2^2*z2 + 4116000*ln2^6*z2 - 494928000*s6*z2 + 
    134870400*li4half*z2^2 + 327600*ln2^4*z2^2 + 49400400*ln2^2*z2^3 - 
    58310316*z2^4 - 283248000*li5half*z3 - 197568000*li4half*ln2*z3 - 
    5871600*ln2^5*z3 + 29316000*ln2^3*z2*z3 - 132577200*ln2*z2^2*z3 - 
    93744000*ln2^2*z3^2 - 220342500*z2*z3^2 + 25137000*ln2^3*z5 - 
    479524500*ln2*z2*z5 + 638481375*z3*z5 + 27247500*ln2*z7)/28224000, 
 H[-1, -1, -1, 0, 1, -1, 0, -1, 1] -> 
  (-21168000*li4half^2 - 752640000*li8half - 150528000*li7half*ln2 - 
    1764000*li4half*ln2^4 - 25550*ln2^8 + 100800000*ln2^2*s6 - 
    38808000*ln2*s7a + 4704000*ln2*s7b - 211214325*s8a - 1472604000*s8b - 
    131040000*s8c - 139440000*s8d - 16464000*li6half*z2 - 
    2352000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 480200*ln2^6*z2 + 
    402948000*s6*z2 - 10953600*li4half*z2^2 + 151200*ln2^4*z2^2 - 
    15262800*ln2^2*z2^3 + 44205048*z2^4 + 280056000*li5half*z3 - 
    40572000*li4half*ln2*z3 - 4024300*ln2^5*z3 + 33971000*ln2^3*z2*z3 + 
    191591400*ln2*z2^2*z3 - 34235250*ln2^2*z3^2 + 154985250*z2*z3^2 - 
    39004000*ln2^3*z5 + 383197500*ln2*z2*z5 - 127848000*z3*z5 + 
    230606250*ln2*z7)/4704000, H[-1, -1, -1, 0, 1, -1, -1, 1, 1] -> 
  (1128960*li4half^2 + 2257920*li8half + 42900480*li7half*ln2 + 
    7902720*li6half*ln2^2 - 1128960*li5half*ln2^3 + 188160*li4half*ln2^4 + 
    17808*ln2^8 - 7822080*ln2^2*s6 + 11450880*ln2*s7a - 13950720*ln2*s7b + 
    106155*s8a + 181440*s8b - 2177280*s8c + 1612800*s8d - 
    18063360*li6half*z2 - 564480*li4half*ln2^2*z2 - 153664*ln2^6*z2 - 
    9717120*s6*z2 - 580608*li4half*z2^2 + 1363488*ln2^4*z2^2 + 
    3987648*ln2^2*z2^3 + 1387296*z2^4 - 2661120*li5half*z3 + 
    1975680*li4half*ln2*z3 + 120960*ln2^5*z3 - 880320*ln2^3*z2*z3 + 
    3307752*ln2*z2^2*z3 + 15087240*ln2^2*z3^2 + 2656080*z2*z3^2 + 
    27171480*ln2^3*z5 + 48305880*ln2*z2*z5 + 6093045*z3*z5 - 
    116389035*ln2*z7)/2257920, H[-1, -1, -1, 0, 1, -1, -1, 0, 1] -> 
  (-84672000*li4half^2 + 4515840000*li8half + 37632000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 348600*ln2^8 - 723744000*ln2^2*s6 - 
    145152000*ln2*s7a + 52416000*ln2*s7b + 1968345225*s8a + 11696328000*s8b + 
    1441440000*s8c + 1042272000*s8d + 197568000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 2626400*ln2^6*z2 - 
    3368736000*s6*z2 + 276192000*li4half*z2^2 - 43058400*ln2^4*z2^2 + 
    164287200*ln2^2*z2^3 - 349912944*z2^4 - 2119824000*li5half*z3 - 
    169344000*li4half*ln2*z3 + 10609200*ln2^5*z3 - 129024000*ln2^3*z2*z3 - 
    1524814200*ln2*z2^2*z3 - 332766000*ln2^2*z3^2 - 1489887000*z2*z3^2 - 
    205947000*ln2^3*z5 - 4501665000*ln2*z2*z5 + 1953480375*z3*z5 + 
    658696500*ln2*z7)/56448000, H[-1, -1, -1, 0, 1, -1, -1, -1, 1] -> 
  (-1016064000*li8half - 536256000*li7half*ln2 - 42336000*li6half*ln2^2 + 
    4704000*li5half*ln2^3 - 16800*ln2^8 + 53424000*ln2^2*s6 - 
    104832000*ln2*s7a + 106848000*ln2*s7b - 110388600*s8a - 1324512000*s8b - 
    24192000*s8c - 116928000*s8d + 921200*ln2^6*z2 + 304416000*s6*z2 - 
    23385600*li4half*z2^2 - 7324800*ln2^4*z2^2 + 17892000*ln2^2*z2^3 + 
    34440624*z2^4 + 233856000*li5half*z3 - 2154600*ln2^5*z3 + 
    23604000*ln2^3*z2*z3 + 73836000*ln2*z2^2*z3 - 128520000*ln2^2*z3^2 + 
    50778000*z2*z3^2 - 200655000*ln2^3*z5 - 247905000*ln2*z2*z5 + 
    259119000*z3*z5 + 1495911375*ln2*z7)/28224000, 
 H[-1, -1, -1, 0, 0, 1, 1, 1, 1] -> (-4032000*li8half - 2419200*li7half*ln2 - 
    604800*li6half*ln2^2 - 67200*li5half*ln2^3 + 100*ln2^8 + 
    252000*ln2^2*s6 - 403200*ln2*s7a + 201600*ln2*s7b - 422100*s8a - 
    4435200*s8b - 806400*s8d + 1209600*li6half*z2 + 604800*li5half*ln2*z2 + 
    100800*li4half*ln2^2*z2 + 560*ln2^6*z2 + 2318400*s6*z2 + 
    120960*li4half*z2^2 + 5040*ln2^4*z2^2 - 125400*ln2^2*z2^3 + 303408*z2^4 + 
    403200*li5half*z3 - 453600*li4half*ln2*z3 - 22260*ln2^5*z3 + 
    113400*ln2^3*z2*z3 + 355320*ln2*z2^2*z3 - 492975*ln2^2*z3^2 + 
    176400*z2*z3^2 - 551250*ln2^3*z5 - 904050*ln2*z2*z5 - 441000*z3*z5 + 
    2401875*ln2*z7)/201600, H[-1, -1, -1, 0, 0, 1, 1, 0, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 - 
    13608000*ln2^2*s6 + 35280000*ln2*s7a + 35280000*ln2*s7b - 25234650*s8a - 
    56952000*s8b - 43344000*s8c + 36288000*s8d - 21168000*li6half*z2 - 
    7056000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 558600*ln2^6*z2 - 
    74340000*s6*z2 - 27316800*li4half*z2^2 + 478800*ln2^4*z2^2 + 
    12511800*ln2^2*z2^3 - 14488434*z2^4 - 33768000*li5half*z3 + 
    61740000*li4half*ln2*z3 + 2853900*ln2^5*z3 - 18249000*ln2^3*z2*z3 - 
    27770400*ln2*z2^2*z3 + 44793000*ln2^2*z3^2 + 28208250*z2*z3^2 + 
    1690500*ln2^3*z5 + 28050750*ln2*z2*z5 + 74300625*z3*z5 + 
    279373500*ln2*z7)/7056000, H[-1, -1, -1, 0, 0, 1, 1, -1, 1] -> 
  (611520*li4half^2 + 940800*li8half + 1128960*li7half*ln2 + 
    282240*li6half*ln2^2 + 31360*li5half*ln2^3 + 43120*li4half*ln2^4 + 
    665*ln2^8 - 94080*ln2^2*s6 + 672000*ln2*s7a + 483840*ln2*s7b - 
    685125*s8a - 2388960*s8b - 779520*s8c + 168000*s8d - 
    282240*li5half*ln2*z2 - 282240*li4half*ln2^2*z2 - 6664*ln2^6*z2 - 
    30240*s6*z2 - 483840*li4half*z2^2 - 6048*ln2^4*z2^2 + 26264*ln2^2*z2^3 - 
    230298*z2^4 - 194880*li5half*z3 + 1281840*li4half*ln2*z3 + 
    55034*ln2^5*z3 - 267120*ln2^3*z2*z3 - 303408*ln2*z2^2*z3 + 
    818055*ln2^2*z3^2 + 652260*z2*z3^2 + 211680*ln2^3*z5 + 
    1059870*ln2*z2*z5 - 126630*z3*z5 + 3576300*ln2*z7)/94080, 
 H[-1, -1, -1, 0, 0, 1, 0, 1, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    62496000*ln2^2*s6 - 29232000*ln2*s7a + 6048000*ln2*s7b - 95251275*s8a - 
    534240000*s8b - 66528000*s8c - 53424000*s8d - 84672000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 411600*ln2^6*z2 + 
    163296000*s6*z2 + 9072000*li4half*z2^2 - 1092000*ln2^4*z2^2 - 
    22570800*ln2^2*z2^3 + 4310916*z2^4 + 124488000*li5half*z3 - 
    24696000*li4half*ln2*z3 - 2066400*ln2^5*z3 + 23604000*ln2^3*z2*z3 + 
    97788600*ln2*z2^2*z3 - 28397250*ln2^2*z3^2 + 67977000*z2*z3^2 - 
    42556500*ln2^3*z5 + 187330500*ln2*z2*z5 - 133095375*z3*z5 + 
    57786750*ln2*z7)/14112000, H[-1, -1, -1, 0, 0, 1, 0, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 - 
    5040000*ln2^2*s6 - 14112000*ln2*s7a - 14112000*ln2*s7b + 37403100*s8a + 
    223776000*s8b + 38304000*s8c + 4032000*s8d + 7056000*li4half*ln2^2*z2 + 
    294000*ln2^6*z2 - 29232000*s6*z2 + 26560800*li4half*z2^2 + 
    224700*ln2^4*z2^2 + 1814400*ln2^2*z2^3 + 12135066*z2^4 - 
    18648000*li5half*z3 - 24696000*li4half*ln2*z3 - 873600*ln2^5*z3 + 
    4620000*ln2^3*z2*z3 - 6035400*ln2*z2^2*z3 - 19388250*ln2^2*z3^2 - 
    31429125*z2*z3^2 - 6615000*ln2^3*z5 - 91759500*ln2*z2*z5 - 
    24286500*z3*z5 - 170667000*ln2*z7)/7056000, 
 H[-1, -1, -1, 0, 0, 1, 0, -1, 1] -> 
  (-3386880*li4half^2 - 282240*li4half*ln2^4 - 5880*ln2^8 + 577920*ln2^2*s6 - 
    2231040*ln2*s7a - 3171840*ln2*s7b + 3604125*s8a + 18869760*s8b + 
    3306240*s8c + 456960*s8d - 1128960*li6half*z2 - 376320*li5half*ln2*z2 + 
    1693440*li4half*ln2^2*z2 + 72128*ln2^6*z2 - 3077760*s6*z2 + 
    2904384*li4half*z2^2 - 98504*ln2^4*z2^2 - 358736*ln2^2*z2^3 + 
    866648*z2^4 - 725760*li5half*z3 - 5927040*li4half*ln2*z3 - 
    240912*ln2^5*z3 + 1405600*ln2^3*z2*z3 + 1153992*ln2*z2^2*z3 - 
    2727480*ln2^2*z3^2 - 3032400*z2*z3^2 + 648760*ln2^3*z5 - 
    483840*ln2*z2*z5 - 38115*z3*z5 - 28518420*ln2*z7)/376320, 
 H[-1, -1, -1, 0, 0, 1, -1, 1, 1] -> 
  (-10080000*li4half^2 + 112896000*li8half + 24192000*li7half*ln2 + 
    12096000*li6half*ln2^2 + 1344000*li5half*ln2^3 - 840000*li4half*ln2^4 - 
    13900*ln2^8 - 28944000*ln2^2*s6 - 288000*ln2*s7a - 288000*ln2*s7b + 
    56931525*s8a + 292320000*s8b + 44352000*s8c + 23184000*s8d - 
    16128000*li6half*z2 - 3024000*li4half*ln2^2*z2 - 266000*ln2^6*z2 - 
    78624000*s6*z2 + 11592000*li4half*z2^2 + 1432200*ln2^4*z2^2 + 
    11457600*ln2^2*z2^3 - 6756876*z2^4 - 47376000*li5half*z3 - 
    5040000*li4half*ln2*z3 + 126000*ln2^5*z3 - 8064000*ln2^3*z2*z3 - 
    42555600*ln2*z2^2*z3 - 3258000*ln2^2*z3^2 - 47628000*z2*z3^2 - 
    1995000*ln2^3*z5 - 132210000*ln2*z2*z5 + 73717875*z3*z5 - 8390250*ln2*z7)/
   4032000, H[-1, -1, -1, 0, 0, 1, -1, 0, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 7872000*ln2^2*s6 - 
    480000*ln2*s7a - 480000*ln2*s7b - 9149700*s8a - 24696000*s8b - 
    8064000*s8c - 1344000*s8d + 4032000*li6half*z2 + 1344000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 - 89600*ln2^6*z2 + 7728000*s6*z2 - 
    2184000*li4half*z2^2 - 315000*ln2^4*z2^2 - 2324400*ln2^2*z2^3 + 
    829968*z2^4 + 2352000*li5half*z3 - 19600*ln2^5*z3 + 7076400*ln2*z2^2*z3 - 
    138000*ln2^2*z3^2 + 8463000*z2*z3^2 - 973000*ln2^3*z5 + 
    22032000*ln2*z2*z5 - 21787500*z3*z5 - 15823875*ln2*z7)/1344000, 
 H[-1, -1, -1, 0, 0, 1, -1, -1, 1] -> 
  (-18816000*li4half^2 + 9408000*li8half - 28224000*li7half*ln2 - 
    14112000*li6half*ln2^2 - 1568000*li5half*ln2^3 - 1960000*li4half*ln2^4 - 
    49700*ln2^8 + 12768000*ln2^2*s6 - 11424000*ln2*s7a - 16128000*ln2*s7b + 
    14454300*s8a + 127428000*s8b + 6720000*s8c + 12096000*s8d + 
    15288000*li4half*ln2^2*z2 + 774200*ln2^6*z2 - 33600000*s6*z2 + 
    17824800*li4half*z2^2 - 2305100*ln2^4*z2^2 - 8465800*ln2^2*z2^3 + 
    2767608*z2^4 - 24192000*li5half*z3 - 39396000*li4half*ln2*z3 - 
    1371300*ln2^5*z3 + 10724000*ln2^3*z2*z3 + 7434000*ln2*z2^2*z3 - 
    13424250*ln2^2*z3^2 - 9009000*z2*z3^2 + 3087000*ln2^3*z5 + 
    27363000*ln2*z2*z5 - 5276250*z3*z5 - 163340625*ln2*z7)/4704000, 
 H[-1, -1, -1, 0, 0, 0, 1, 1, 1] -> 
  (504000*ln2^2*s6 - 1008000*ln2*s7a - 177975*s8a + 504000*s6*z2 + 
    67200*li4half*z2^2 + 2800*ln2^4*z2^2 + 11600*ln2^2*z2^3 - 396*z2^4 + 
    1344000*li5half*z3 - 11200*ln2^5*z3 + 688800*ln2*z2^2*z3 - 
    546000*ln2^2*z3^2 - 630000*z2*z3^2 - 752500*ln2^3*z5 - 
    1008000*ln2*z2*z5 + 126000*z3*z5 - 1225875*ln2*z7)/672000, 
 H[-1, -1, -1, 0, 0, 0, 1, 0, 1] -> 
  (-544425*s8a - 11760000*s8b - 2688000*s8d + 6216000*s6*z2 - 
    1344000*li4half*z2^2 - 56000*ln2^4*z2^2 - 297200*ln2^2*z2^3 + 
    559912*z2^4 + 2688000*li5half*z3 - 22400*ln2^5*z3 + 224000*ln2^3*z2*z3 + 
    50400*ln2*z2^2*z3 - 252000*ln2^2*z3^2 + 882000*z2*z3^2 + 
    420000*ln2^3*z5 + 1596000*ln2*z2*z5 - 2667000*z3*z5 + 1089375*ln2*z7)/
   672000, H[-1, -1, -1, 0, 0, 0, 1, -1, 1] -> 
  (-28392000*ln2^2*s6 + 12432000*ln2*s7a + 5376000*ln2*s7b + 26505675*s8a + 
    109452000*s8b + 20160000*s8c + 10416000*s8d + 14112000*li5half*ln2*z2 - 
    117600*ln2^6*z2 - 36120000*s6*z2 - 151200*li4half*z2^2 + 
    1757700*ln2^4*z2^2 + 12607000*ln2^2*z2^3 - 763212*z2^4 - 
    30240000*li5half*z3 + 8232000*li4half*ln2*z3 + 595000*ln2^5*z3 - 
    7812000*ln2^3*z2*z3 - 31374000*ln2*z2^2*z3 + 11235000*ln2^2*z3^2 - 
    20559000*z2*z3^2 + 6786500*ln2^3*z5 - 76492500*ln2*z2*z5 + 
    58461375*z3*z5 + 37419375*ln2*z7)/4704000, 
 H[-1, -1, -1, 0, 0, 0, 0, 1, 1] -> 
  (-336000*ln2^2*s6 + 336000*ln2*s7a + 333900*s8a + 4704000*s8b + 
    1008000*s8d - 3192000*s6*z2 + 336000*li4half*z2^2 + 14000*ln2^4*z2^2 + 
    117600*ln2^2*z2^3 - 229416*z2^4 - 1344000*li5half*z3 + 11200*ln2^5*z3 - 
    112000*ln2^3*z2*z3 - 319200*ln2*z2^2*z3 + 336000*ln2^2*z3^2 + 
    252000*z2*z3^2 + 381500*ln2^3*z5 + 682500*ln2*z2*z5 + 254625*z3*z5)/
   336000, H[-1, -1, -1, 0, 0, 0, 0, 0, 1] -> 
  (-14000*s8b - 620*ln2^2*z2^3 - 3838*z2^4 + 1960*ln2*z2^2*z3 - 
    1400*z2*z3^2 + 2800*ln2*z2*z5 + 20825*z3*z5 + 16800*ln2*z7)/5600, 
 H[-1, -1, -1, 0, 0, 0, 0, -1, 1] -> 
  (1008000*ln2^2*s6 - 672000*ln2*s7a - 1271025*s8a - 8400000*s8b - 
    672000*s8c - 672000*s8d + 1512000*s6*z2 + 100800*li4half*z2^2 + 
    4200*ln2^4*z2^2 - 336000*ln2^2*z2^3 - 576984*z2^4 + 2352000*li5half*z3 - 
    19600*ln2^5*z3 + 196000*ln2^3*z2*z3 + 1566600*ln2*z2^2*z3 - 
    577500*ln2^2*z3^2 + 1060500*z2*z3^2 - 763000*ln2^3*z5 + 
    2667000*ln2*z2*z5 - 1477875*z3*z5 + 6000750*ln2*z7)/672000, 
 H[-1, -1, -1, 0, 0, 0, -1, 1, 1] -> 
  (4032000*li4half^2 + 336000*li4half*ln2^4 + 7000*ln2^8 + 8208000*ln2^2*s6 + 
    4896000*ln2*s7a - 11232000*ln2*s7b - 1282050*s8a + 47376000*s8b - 
    4032000*s8c + 10080000*s8d - 12096000*li5half*ln2*z2 - 
    2016000*li4half*ln2^2*z2 + 16800*ln2^6*z2 - 31248000*s6*z2 + 
    1209600*li4half*z2^2 - 1209600*ln2^4*z2^2 - 6391200*ln2^2*z2^3 - 
    86688*z2^4 - 7056000*li5half*z3 + 58800*ln2^5*z3 + 1932000*ln2^3*z2*z3 + 
    7488000*ln2*z2^2*z3 + 2025000*ln2^2*z3^2 + 6079500*z2*z3^2 + 
    15582000*ln2^3*z5 + 51831000*ln2*z2*z5 - 17608500*z3*z5 - 
    68990625*ln2*z7)/4032000, H[-1, -1, -1, 0, 0, 0, -1, 0, 1] -> 
  (67200*ln2^2*s6 - 515025*s8a - 10298400*s8b - 134400*s8c - 1747200*s8d + 
    4788000*s6*z2 - 843360*li4half*z2^2 - 35140*ln2^4*z2^2 - 
    249760*ln2^2*z2^3 - 41332*z2^4 + 2083200*li5half*z3 - 17360*ln2^5*z3 + 
    173600*ln2^3*z2*z3 + 301560*ln2*z2^2*z3 - 216300*ln2^2*z3^2 - 
    2100*z2*z3^2 + 313600*ln2^3*z5 + 1108800*ln2*z2*z5 + 1053675*z3*z5 + 
    3204600*ln2*z7)/470400, H[-1, -1, -1, 0, 0, 0, -1, -1, 1] -> 
  (28224000*li4half^2 + 2352000*li4half*ln2^4 + 49000*ln2^8 + 
    86688000*ln2^2*s6 - 66528000*ln2*s7a + 46368000*ln2*s7b - 174253275*s8a - 
    1209096000*s8b - 82656000*s8c - 171360000*s8d - 
    14112000*li4half*ln2^2*z2 - 588000*ln2^6*z2 + 469728000*s6*z2 - 
    55440000*li4half*z2^2 - 546000*ln2^4*z2^2 - 33986400*ln2^2*z2^3 + 
    2090736*z2^4 + 349776000*li5half*z3 + 49392000*li4half*ln2*z3 - 
    856800*ln2^5*z3 + 19152000*ln2^3*z2*z3 + 148491000*ln2*z2^2*z3 - 
    66244500*ln2^2*z3^2 + 116455500*z2*z3^2 - 99960000*ln2^3*z5 + 
    108234000*ln2*z2*z5 - 343027125*z3*z5 + 589939875*ln2*z7)/28224000, 
 H[-1, -1, -1, 0, 0, -1, 1, 1, 1] -> 
  (141120000*li4half^2 + 1016064000*li8half + 790272000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 18816000*li5half*ln2^3 + 
    16464000*li4half*ln2^4 + 309400*ln2^8 - 54432000*ln2^2*s6 + 
    114912000*ln2*s7a - 223776000*ln2*s7b + 150713325*s8a + 1657656000*s8b + 
    34272000*s8c + 219744000*s8d - 338688000*li6half*z2 - 
    112896000*li5half*ln2*z2 - 28224000*li4half*ln2^2*z2 - 78400*ln2^6*z2 - 
    728784000*s6*z2 - 32256000*li4half*z2^2 + 2184000*ln2^4*z2^2 + 
    14800800*ln2^2*z2^3 - 31930488*z2^4 - 199584000*li5half*z3 + 
    98784000*li4half*ln2*z3 + 4956000*ln2^5*z3 - 14280000*ln2^3*z2*z3 - 
    9916200*ln2*z2^2*z3 + 159547500*ln2^2*z3^2 - 57015000*z2*z3^2 + 
    345744000*ln2^3*z5 + 578781000*ln2*z2*z5 - 66157875*z3*z5 - 
    2080283625*ln2*z7)/56448000, H[-1, -1, -1, 0, 0, -1, 1, 0, 1] -> 
  (-56448000*li4half^2 - 4704000*li4half*ln2^4 - 98000*ln2^8 - 
    188496000*ln2^2*s6 + 10080000*ln2*s7a + 10080000*ln2*s7b + 
    224440650*s8a + 566496000*s8b + 215712000*s8c - 18144000*s8d + 
    56448000*li6half*z2 + 28224000*li5half*ln2*z2 + 
    28224000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 - 44856000*s6*z2 + 
    5544000*li4half*z2^2 + 8463000*ln2^4*z2^2 + 53272800*ln2^2*z2^3 - 
    2439576*z2^4 - 69552000*li5half*z3 + 579600*ln2^5*z3 - 
    9912000*ln2^3*z2*z3 - 190549800*ln2*z2^2*z3 - 11340000*ln2^2*z3^2 - 
    197946000*z2*z3^2 + 25137000*ln2^3*z5 - 615006000*ln2*z2*z5 + 
    383646375*z3*z5 + 283405500*ln2*z7)/28224000, 
 H[-1, -1, -1, 0, 0, -1, 1, -1, 1] -> 
  (-18063360*li8half - 31610880*li7half*ln2 - 4515840*li6half*ln2^2 - 
    752640*li5half*ln2^3 + 5824*ln2^8 - 10200960*ln2^2*s6 - 403200*ln2*s7a + 
    10886400*ln2*s7b + 8878590*s8a + 13426560*s8b + 9354240*s8c + 
    241920*s8d + 4515840*li5half*ln2*z2 - 3386880*li4half*ln2^2*z2 - 
    266560*ln2^6*z2 - 5281920*s6*z2 - 741888*li4half*z2^2 + 
    759360*ln2^4*z2^2 + 4919712*ln2^2*z2^3 + 143784*z2^4 - 
    2741760*li5half*z3 + 5927040*li4half*ln2*z3 + 302736*ln2^5*z3 - 
    4908960*ln2^3*z2*z3 - 12976992*ln2*z2^2*z3 - 2454480*ln2^2*z3^2 - 
    8391600*z2*z3^2 - 9819600*ln2^3*z5 - 60941160*ln2*z2*z5 + 
    27154890*z3*z5 + 110430495*ln2*z7)/2257920, 
 H[-1, -1, -1, 0, 0, -1, 0, 1, 1] -> 
  (7862400*ln2^2*s6 + 3628800*ln2*s7a + 12096000*ln2*s7b - 28578375*s8a - 
    132854400*s8b - 22982400*s8c - 8064000*s8d + 22579200*li6half*z2 + 
    11289600*li5half*ln2*z2 - 62720*ln2^6*z2 + 37296000*s6*z2 - 
    1189440*li4half*z2^2 + 420840*ln2^4*z2^2 - 4110960*ln2^2*z2^3 - 
    6355536*z2^4 + 9072000*li5half*z3 - 75600*ln2^5*z3 + 
    1226400*ln2^3*z2*z3 + 13056120*ln2*z2^2*z3 + 1770300*ln2^2*z3^2 + 
    25218900*z2*z3^2 - 10319400*ln2^3*z5 + 41441400*ln2*z2*z5 - 
    37851975*z3*z5 + 83799450*ln2*z7)/5644800, 
 H[-1, -1, -1, 0, 0, -1, 0, 0, 1] -> 
  (-1142400*ln2^2*s6 + 3551625*s8a + 27484800*s8b + 2284800*s8c + 
    3360000*s8d - 9542400*s6*z2 + 1659840*li4half*z2^2 + 69160*ln2^4*z2^2 + 
    1043280*ln2^2*z2^3 + 94288*z2^4 - 5308800*li5half*z3 + 44240*ln2^5*z3 - 
    442400*ln2^3*z2*z3 - 2245320*ln2*z2^2*z3 - 86100*ln2^2*z3^2 - 
    3110100*z2*z3^2 - 940800*ln2^3*z5 - 8971200*ln2*z2*z5 + 4938675*z3*z5 - 
    7173600*ln2*z7)/940800, H[-1, -1, -1, 0, 0, -1, 0, -1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    16128000*ln2^2*s6 - 9072000*ln2*s7a - 30240000*ln2*s7b + 85508325*s8a + 
    510300000*s8b + 50400000*s8c + 62496000*s8d + 28224000*li6half*z2 + 
    14112000*li5half*ln2*z2 + 14112000*li4half*ln2^2*z2 + 509600*ln2^6*z2 - 
    179676000*s6*z2 + 35431200*li4half*z2^2 + 300300*ln2^4*z2^2 + 
    14246400*ln2^2*z2^3 - 8158008*z2^4 - 132048000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 957600*ln2^5*z3 - 2184000*ln2^3*z2*z3 - 
    51118200*ln2*z2^2*z3 + 2740500*ln2^2*z3^2 - 62055000*z2*z3^2 + 
    7570500*ln2^3*z5 - 51345000*ln2*z2*z5 + 150719625*z3*z5 - 
    300510000*ln2*z7)/14112000, H[-1, -1, -1, 0, 0, -1, -1, 1, 1] -> 
  (37632000*li4half^2 - 564480000*li8half - 75264000*li7half*ln2 - 
    37632000*li6half*ln2^2 - 6272000*li5half*ln2^3 + 4704000*li4half*ln2^4 + 
    131600*ln2^8 + 116256000*ln2^2*s6 + 4032000*ln2*s7a + 27552000*ln2*s7b - 
    292334175*s8a - 1560888000*s8b - 217056000*s8c - 121632000*s8d + 
    37632000*li6half*z2 - 4704000*li4half*ln2^2*z2 - 196000*ln2^6*z2 + 
    414960000*s6*z2 - 47846400*li4half*z2^2 + 1260000*ln2^4*z2^2 - 
    31208800*ln2^2*z2^3 + 31427712*z2^4 + 252672000*li5half*z3 + 
    32928000*li4half*ln2*z3 - 733600*ln2^5*z3 + 26544000*ln2^3*z2*z3 + 
    204090600*ln2*z2^2*z3 + 19687500*ln2^2*z3^2 + 234675000*z2*z3^2 - 
    28665000*ln2^3*z5 + 569499000*ln2*z2*z5 - 327539625*z3*z5 + 
    226629375*ln2*z7)/18816000, H[-1, -1, -1, 0, 0, -1, -1, 0, 1] -> 
  (-1008000*ln2^2*s6 + 4852575*s8a + 16128000*s8b + 2016000*s8c + 
    2016000*s8d - 8064000*li6half*z2 - 4032000*li5half*ln2*z2 + 
    22400*ln2^6*z2 - 6552000*s6*z2 - 100800*li4half*z2^2 - 
    172200*ln2^4*z2^2 + 1188000*ln2^2*z2^3 + 523872*z2^4 - 
    3024000*li5half*z3 + 25200*ln2^5*z3 - 252000*ln2^3*z2*z3 - 
    2734200*ln2*z2^2*z3 - 283500*ln2^2*z3^2 - 4882500*z2*z3^2 - 
    336000*ln2^3*z5 - 9009000*ln2*z2*z5 + 16309125*z3*z5 - 1008000*ln2*z7)/
   4032000, H[-1, -1, -1, 0, 0, -1, -1, -1, 1] -> 
  (-806400*li4half^2 + 6451200*li7half*ln2 + 3225600*li6half*ln2^2 + 
    537600*li5half*ln2^3 - 67200*li4half*ln2^4 - 2680*ln2^8 + 
    1353600*ln2^2*s6 - 1152000*ln2*s7a - 1555200*ln2*s7b + 
    403200*li4half*ln2^2*z2 + 21280*ln2^6*z2 + 645120*li4half*z2^2 - 
    23520*ln2^4*z2^2 + 227040*ln2^2*z2^3 - 129024*z2^4 - 
    1411200*li4half*ln2*z3 - 58800*ln2^5*z3 + 218400*ln2^3*z2*z3 + 
    895680*ln2*z2^2*z3 - 3600*ln2^2*z3^2 + 113400*ln2^3*z5 + 
    4581000*ln2*z2*z5 - 15424875*ln2*z7)/1612800, 
 H[-1, -1, -1, 0, -1, 1, 1, 1, 1] -> 
  (141120000*li4half^2 + 225792000*li8half + 169344000*li7half*ln2 - 
    141120000*li6half*ln2^2 - 18816000*li5half*ln2^3 + 
    11760000*li4half*ln2^4 + 177800*ln2^8 - 194544000*ln2^2*s6 + 
    76608000*ln2*s7a - 50400000*ln2*s7b + 221652900*s8a + 1091664000*s8b + 
    193536000*s8c + 4032000*s8d - 56448000*li6half*z2 + 
    112896000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 2038400*ln2^6*z2 - 
    198576000*s6*z2 - 13305600*li4half*z2^2 + 13557600*ln2^4*z2^2 + 
    65419200*ln2^2*z2^3 + 54778464*z2^4 - 191520000*li5half*z3 + 
    28224000*li4half*ln2*z3 + 2360400*ln2^5*z3 - 31248000*ln2^3*z2*z3 - 
    168210000*ln2*z2^2*z3 + 37894500*ln2^2*z3^2 - 88042500*z2*z3^2 + 
    122745000*ln2^3*z5 - 387576000*ln2*z2*z5 - 136962000*z3*z5 - 
    651286125*ln2*z7)/56448000, H[-1, -1, -1, 0, -1, 1, 1, 0, 1] -> 
  (16128000*li4half^2 + 645120000*li8half + 5376000*li5half*ln2^3 + 
    1344000*li4half*ln2^4 - 800*ln2^8 - 74160000*ln2^2*s6 + 
    30816000*ln2*s7a + 59040000*ln2*s7b + 144178650*s8a + 1069488000*s8b + 
    72576000*s8c + 137088000*s8d - 4032000*li6half*z2 - 
    14112000*li4half*ln2^2*z2 - 593600*ln2^6*z2 - 374976000*s6*z2 - 
    1814400*li4half*z2^2 - 2578800*ln2^4*z2^2 + 11385600*ln2^2*z2^3 - 
    62822736*z2^4 - 245952000*li5half*z3 + 59472000*li4half*ln2*z3 + 
    4527600*ln2^5*z3 - 35868000*ln2^3*z2*z3 - 173188800*ln2*z2^2*z3 + 
    21415500*ln2^2*z3^2 - 105493500*z2*z3^2 - 28518000*ln2^3*z5 - 
    403254000*ln2*z2*z5 + 208593000*z3*z5 + 456166125*ln2*z7)/8064000, 
 H[-1, -1, -1, 0, -1, 1, 1, -1, 1] -> 
  (254016000*li4half^2 + 56448000*li8half - 169344000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 23520000*li4half*ln2^4 + 613200*ln2^8 - 
    134064000*ln2^2*s6 + 280224000*ln2*s7a + 364896000*ln2*s7b - 
    286016850*s8a - 1373904000*s8b - 306432000*s8c + 94752000*s8d - 
    112896000*li5half*ln2*z2 - 183456000*li4half*ln2^2*z2 - 
    8624000*ln2^6*z2 - 83664000*s6*z2 - 212486400*li4half*z2^2 + 
    9374400*ln2^4*z2^2 + 35229600*ln2^2*z2^3 - 141326856*z2^4 - 
    133056000*li5half*z3 + 663264000*li4half*ln2*z3 + 29156400*ln2^5*z3 - 
    176904000*ln2^3*z2*z3 - 245548800*ln2*z2^2*z3 + 334278000*ln2^2*z3^2 + 
    249228000*z2*z3^2 - 8820000*ln2^3*z5 - 196245000*ln2*z2*z5 + 
    431219250*z3*z5 + 3830171625*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, -1, 1, 0, 1, 1] -> 
  (-338688000*li4half^2 - 6773760000*li8half - 1806336000*li7half*ln2 - 
    47040000*li4half*ln2^4 - 1181600*ln2^8 + 997920000*ln2^2*s6 - 
    415296000*ln2*s7a + 22176000*ln2*s7b - 1550455200*s8a - 10962000000*s8b - 
    1024128000*s8c - 923328000*s8d + 620928000*li6half*z2 - 
    225792000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 5801600*ln2^6*z2 + 
    3229632000*s6*z2 + 98985600*li4half*z2^2 - 17043600*ln2^4*z2^2 - 
    254419200*ln2^2*z2^3 + 276580008*z2^4 + 1874880000*li5half*z3 - 
    416304000*li4half*ln2*z3 - 32970000*ln2^5*z3 + 275604000*ln2^3*z2*z3 + 
    1416038400*ln2*z2^2*z3 - 323505000*ln2^2*z3^2 + 918477000*z2*z3^2 - 
    461580000*ln2^3*z5 + 3065013000*ln2*z2*z5 - 260032500*z3*z5 + 
    1631739375*ln2*z7)/56448000, H[-1, -1, -1, 0, -1, 1, 0, 0, 1] -> 
  (806400*li4half^2 + 67200*li4half*ln2^4 + 1400*ln2^8 + 1536000*ln2^2*s6 - 
    57600*ln2*s7a - 57600*ln2*s7b - 2563575*s8a - 11491200*s8b - 
    1612800*s8c - 1881600*s8d - 672000*li4half*ln2^2*z2 - 28000*ln2^6*z2 + 
    5980800*s6*z2 - 497280*li4half*z2^2 - 3920*ln2^4*z2^2 - 
    806800*ln2^2*z2^3 + 784668*z2^4 + 2956800*li5half*z3 + 
    537600*li4half*ln2*z3 - 2240*ln2^5*z3 + 95200*ln2^3*z2*z3 + 
    1785600*ln2*z2^2*z3 + 159000*ln2^2*z3^2 + 1988700*z2*z3^2 - 
    194600*ln2^3*z5 + 4467900*ln2*z2*z5 - 7820400*z3*z5 - 3642075*ln2*z7)/
   268800, H[-1, -1, -1, 0, -1, 1, 0, -1, 1] -> 
  (-366912000*li4half^2 + 9031680000*li8half + 1806336000*li7half*ln2 - 
    30576000*li4half*ln2^4 - 771400*ln2^8 - 786240000*ln2^2*s6 - 
    36288000*ln2*s7a - 473760000*ln2*s7b + 2539111050*s8a + 17263008000*s8b + 
    1729728000*s8c + 1346688000*s8d - 28224000*li6half*z2 - 
    112896000*li5half*ln2*z2 + 112896000*li4half*ln2^2*z2 + 
    6860000*ln2^6*z2 - 4153968000*s6*z2 + 574156800*li4half*z2^2 - 
    22176000*ln2^4*z2^2 - 40471200*ln2^2*z2^3 - 421888752*z2^4 - 
    2636928000*li5half*z3 - 571536000*li4half*ln2*z3 - 1839600*ln2^5*z3 - 
    83916000*ln2^3*z2*z3 - 1585206000*ln2*z2^2*z3 - 197316000*ln2^2*z3^2 - 
    1909404000*z2*z3^2 + 370440000*ln2^3*z5 - 3748122000*ln2*z2*z5 + 
    546792750*z3*z5 - 6154414875*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, -1, 1, -1, 1, 1] -> 
  (-28224000*li4half^2 + 244608000*li8half + 188160000*li7half*ln2 + 
    159936000*li6half*ln2^2 + 12544000*li5half*ln2^3 - 
    1568000*li4half*ln2^4 + 70000*ln2^8 + 33264000*ln2^2*s6 + 
    3360000*ln2*s7a - 24864000*ln2*s7b + 34086150*s8a + 179760000*s8b - 
    2688000*s8c + 35616000*s8d - 37632000*li6half*z2 - 
    4704000*li4half*ln2^2*z2 + 1019200*ln2^6*z2 - 78288000*s6*z2 + 
    31584000*li4half*z2^2 - 5544000*ln2^4*z2^2 - 3040800*ln2^2*z2^3 - 
    40750776*z2^4 - 80640000*li5half*z3 - 30576000*li4half*ln2*z3 - 
    876400*ln2^5*z3 + 2100000*ln2^3*z2*z3 - 11928000*ln2*z2^2*z3 + 
    9870000*ln2^2*z3^2 - 33705000*z2*z3^2 + 12250000*ln2^3*z5 + 
    81984000*ln2*z2*z5 + 153042750*z3*z5 - 244495125*ln2*z7)/18816000, 
 H[-1, -1, -1, 0, -1, 1, -1, 0, 1] -> 
  (6048000*li4half^2 - 645120000*li8half - 5376000*li5half*ln2^3 + 
    504000*li4half*ln2^4 + 39300*ln2^8 + 73584000*ln2^2*s6 + 
    6048000*ln2*s7a - 22176000*ln2*s7b - 205778475*s8a - 1267056000*s8b - 
    139104000*s8c - 112896000*s8d + 2016000*li6half*z2 - 
    8064000*li5half*ln2*z2 - 2016000*li4half*ln2^2*z2 - 14000*ln2^6*z2 + 
    351288000*s6*z2 - 25804800*li4half*z2^2 + 4452000*ln2^4*z2^2 - 
    8133600*ln2^2*z2^3 + 47469024*z2^4 + 227808000*li5half*z3 - 
    4032000*li4half*ln2*z3 - 2066400*ln2^5*z3 + 19068000*ln2^3*z2*z3 + 
    169533000*ln2*z2^2*z3 + 27121500*ln2^2*z3^2 + 157153500*z2*z3^2 + 
    30534000*ln2^3*z5 + 486990000*ln2*z2*z5 - 185416875*z3*z5 - 
    155838375*ln2*z7)/4032000, H[-1, -1, -1, 0, -1, 1, -1, -1, 1] -> 
  (-9676800*li4half^2 - 45158400*li8half - 16128000*li7half*ln2 - 
    10483200*li6half*ln2^2 - 1612800*li5half*ln2^3 - 1075200*li4half*ln2^4 - 
    27040*ln2^8 + 4550400*ln2^2*s6 - 4953600*ln2*s7a - 8582400*ln2*s7b + 
    6451200*li4half*ln2^2*z2 + 182560*ln2^6*z2 + 7741440*li4half*z2^2 + 
    73920*ln2^4*z2^2 - 1409760*ln2^2*z2^3 + 4644864*z2^4 - 
    18547200*li4half*ln2*z3 - 749280*ln2^5*z3 + 4284000*ln2^3*z2*z3 + 
    9316800*ln2*z2^2*z3 - 4012200*ln2^2*z3^2 + 3637200*ln2^3*z5 + 
    25324200*ln2*z2*z5 - 77524425*ln2*z7)/1612800, 
 H[-1, -1, -1, 0, -1, 0, 1, 1, 1] -> 
  (84672000*li4half^2 + 1354752000*li8half + 677376000*li7half*ln2 + 
    112896000*li6half*ln2^2 + 7056000*li4half*ln2^4 + 203000*ln2^8 - 
    20160000*ln2^2*s6 + 50400000*ln2*s7a + 106848000*ln2*s7b - 
    103794075*s8a + 650664000*s8b - 187488000*s8c + 258048000*s8d - 
    338688000*li6half*z2 - 112896000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1764000*ln2^6*z2 - 523152000*s6*z2 - 
    42940800*li4half*z2^2 + 1150800*ln2^4*z2^2 + 39463200*ln2^2*z2^3 - 
    129511152*z2^4 - 36288000*li5half*z3 + 232848000*li4half*ln2*z3 + 
    11650800*ln2^5*z3 - 54768000*ln2^3*z2*z3 - 3238200*ln2*z2^2*z3 + 
    136111500*ln2^2*z3^2 + 50211000*z2*z3^2 - 21168000*ln2^3*z5 + 
    123795000*ln2*z2*z5 - 55542375*z3*z5 + 291430125*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, -1, 0, 1, 0, 1] -> 
  (-4515840*li4half^2 - 376320*li4half*ln2^4 - 7840*ln2^8 + 403200*ln2^2*s6 - 
    6773760*ln2*s7a - 6773760*ln2*s7b + 7769475*s8a + 5664960*s8b + 
    12741120*s8c - 12741120*s8d + 2257920*li6half*z2 + 
    2257920*li4half*ln2^2*z2 + 97216*ln2^6*z2 + 24212160*s6*z2 + 
    1770048*li4half*z2^2 - 255528*ln2^4*z2^2 - 2044224*ln2^2*z2^3 + 
    5579424*z2^4 + 12499200*li5half*z3 - 10160640*li4half*ln2*z3 - 
    527520*ln2^5*z3 + 4052160*ln2^3*z2*z3 + 3234672*ln2*z2^2*z3 - 
    10347120*ln2^2*z3^2 - 7174440*z2*z3^2 - 376320*ln2^3*z5 - 
    15079680*ln2*z2*z5 - 19088370*z3*z5 - 57495375*ln2*z7)/1128960, 
 H[-1, -1, -1, 0, -1, 0, 1, -1, 1] -> 
  (-225792000*li4half^2 - 2483712000*li8half - 677376000*li7half*ln2 - 
    112896000*li6half*ln2^2 - 9408000*li4half*ln2^4 - 84000*ln2^8 + 
    29232000*ln2^2*s6 - 203616000*ln2*s7a - 260064000*ln2*s7b + 
    23092650*s8a - 1547280000*s8b + 249984000*s8c - 433440000*s8d + 
    451584000*li5half*ln2*z2 + 197568000*li4half*ln2^2*z2 + 
    3371200*ln2^6*z2 + 958608000*s6*z2 + 105235200*li4half*z2^2 + 
    22730400*ln2^4*z2^2 + 121212000*ln2^2*z2^3 + 331537464*z2^4 + 
    584640000*li5half*z3 - 529200000*li4half*ln2*z3 - 28568400*ln2^5*z3 + 
    106932000*ln2^3*z2*z3 + 342770400*ln2*z2^2*z3 - 294084000*ln2^2*z3^2 - 
    114282000*z2*z3^2 - 24402000*ln2^3*z5 - 199899000*ln2*z2*z5 - 
    78419250*z3*z5 - 2268464625*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, -1, 0, 0, 1, 1] -> 
  (-28224000*li4half^2 - 2352000*li4half*ln2^4 - 49000*ln2^8 - 
    95760000*ln2^2*s6 + 84672000*ln2*s7a - 14112000*ln2*s7b + 151503975*s8a + 
    1256472000*s8b + 22176000*s8c + 245952000*s8d + 112896000*li6half*z2 + 
    14112000*li4half*ln2^2*z2 + 744800*ln2^6*z2 - 738864000*s6*z2 + 
    66124800*li4half*z2^2 - 1360800*ln2^4*z2^2 + 21134400*ln2^2*z2^3 - 
    75361704*z2^4 - 379008000*li5half*z3 - 21168000*li4half*ln2*z3 + 
    2276400*ln2^5*z3 - 22176000*ln2^3*z2*z3 - 132665400*ln2*z2^2*z3 + 
    85963500*ln2^2*z3^2 - 10017000*z2*z3^2 + 129213000*ln2^3*z5 + 
    133245000*ln2*z2*z5 + 269569125*z3*z5 - 90019125*ln2*z7)/28224000, 
 H[-1, -1, -1, 0, -1, 0, 0, 0, 1] -> 
  (672000*ln2^2*s6 - 3389925*s8a - 31542000*s8b - 1344000*s8c - 3360000*s8d + 
    9072000*s6*z2 - 1083600*li4half*z2^2 - 45150*ln2^4*z2^2 - 
    1183700*ln2^2*z2^3 - 1769248*z2^4 + 6720000*li5half*z3 - 56000*ln2^5*z3 + 
    560000*ln2^3*z2*z3 + 4074000*ln2*z2^2*z3 - 399000*ln2^2*z3^2 + 
    861000*z2*z3^2 + 784000*ln2^3*z5 + 7266000*ln2*z2*z5 + 4693500*z3*z5 + 
    16243500*ln2*z7)/1176000, H[-1, -1, -1, 0, -1, 0, 0, -1, 1] -> 
  (145152000*ln2^2*s6 - 84672000*ln2*s7a + 14112000*ln2*s7b - 235481400*s8a - 
    1813896000*s8b - 120960000*s8c - 217728000*s8d + 56448000*li6half*z2 + 
    78400*ln2^6*z2 + 573048000*s6*z2 - 47073600*li4half*z2^2 - 
    3137400*ln2^4*z2^2 - 75213600*ln2^2*z2^3 - 63176304*z2^4 + 
    520128000*li5half*z3 + 21168000*li4half*ln2*z3 - 3452400*ln2^5*z3 + 
    42756000*ln2^3*z2*z3 + 260114400*ln2*z2^2*z3 - 102942000*ln2^2*z3^2 + 
    172305000*z2*z3^2 - 74529000*ln2^3*z5 + 395955000*ln2*z2*z5 - 
    354847500*z3*z5 + 986131125*ln2*z7)/28224000, 
 H[-1, -1, -1, 0, -1, 0, -1, 1, 1] -> 
  (-18816000*li4half^2 - 94080000*li8half - 75264000*li7half*ln2 - 
    9408000*li6half*ln2^2 - 2352000*li4half*ln2^4 - 65800*ln2^8 + 
    25620000*ln2^2*s6 - 4032000*ln2*s7a - 11088000*ln2*s7b - 12175800*s8a - 
    3360000*s8b - 13776000*s8c + 12600000*s8d + 37632000*li6half*z2 - 
    28224000*li5half*ln2*z2 + 2352000*li4half*ln2^2*z2 + 529200*ln2^6*z2 - 
    28140000*s6*z2 + 15926400*li4half*z2^2 - 3217200*ln2^4*z2^2 - 
    21999600*ln2^2*z2^3 - 2049198*z2^4 + 672000*li5half*z3 - 
    21168000*li4half*ln2*z3 - 887600*ln2^5*z3 + 12208000*ln2^3*z2*z3 + 
    22367100*ln2*z2^2*z3 - 10526250*ln2^2*z3^2 + 16873500*z2*z3^2 + 
    7840000*ln2^3*z5 + 102343500*ln2*z2*z5 - 28239750*z3*z5 - 
    11899125*ln2*z7)/4704000, H[-1, -1, -1, 0, -1, 0, -1, 0, 1] -> 
  (2016000*li4half^2 + 168000*li4half*ln2^4 + 3500*ln2^8 - 2016000*ln2^2*s6 + 
    707175*s8a - 27090000*s8b + 4032000*s8c - 8064000*s8d - 
    2016000*li6half*z2 - 1008000*li4half*ln2^2*z2 - 44800*ln2^6*z2 + 
    19278000*s6*z2 - 2998800*li4half*z2^2 + 43050*ln2^4*z2^2 - 
    154800*ln2^2*z2^3 + 1538748*z2^4 + 10080000*li5half*z3 + 
    2016000*li4half*ln2*z3 + 504000*ln2^3*z2*z3 + 730800*ln2*z2^2*z3 - 
    2583000*ln2^2*z3^2 - 3449250*z2*z3^2 + 336000*ln2^3*z5 - 
    11088000*ln2*z2*z5 + 1464750*z3*z5 + 9891000*ln2*z7)/1008000, 
 H[-1, -1, -1, 0, -1, 0, -1, -1, 1] -> 
  (42336000*li4half^2 + 1128960000*li8half + 451584000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 3528000*li4half*ln2^4 + 90300*ln2^8 - 
    57960000*ln2^2*s6 - 68544000*ln2*s7a - 26208000*ln2*s7b + 93217950*s8a + 
    73584000*s8b + 189504000*s8c - 189504000*s8d - 
    21168000*li4half*ln2^2*z2 - 960400*ln2^6*z2 + 379008000*s6*z2 - 
    71769600*li4half*z2^2 - 344400*ln2^4*z2^2 - 26056800*ln2^2*z2^3 - 
    39029328*z2^4 + 393120000*li5half*z3 + 77616000*li4half*ln2*z3 - 
    42000*ln2^5*z3 + 20412000*ln2^3*z2*z3 + 33390000*ln2*z2^2*z3 - 
    144522000*ln2^2*z3^2 - 121401000*z2*z3^2 - 15141000*ln2^3*z5 - 
    492849000*ln2*z2*z5 - 457931250*z3*z5 + 151507125*ln2*z7)/28224000, 
 H[-1, -1, -1, 0, -1, -1, 1, 1, 1] -> 
  (28224000*li4half^2 - 169344000*li8half + 18816000*li7half*ln2 + 
    18816000*li6half*ln2^2 + 25088000*li5half*ln2^3 + 3136000*li4half*ln2^4 - 
    109200*ln2^8 + 61488000*ln2^2*s6 - 22848000*ln2*s7a + 66528000*ln2*s7b - 
    120220800*s8a - 384384000*s8b - 100800000*s8c + 25536000*s8d - 
    94080000*li6half*z2 - 94080000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 + 196000*ln2^6*z2 - 13440000*s6*z2 - 
    19353600*li4half*z2^2 - 3080000*ln2^4*z2^2 - 1528800*ln2^2*z2^3 + 
    8967192*z2^4 + 127680000*li5half*z3 + 54096000*li4half*ln2*z3 + 
    1327200*ln2^5*z3 - 3472000*ln2^3*z2*z3 + 62512800*ln2*z2^2*z3 - 
    4315500*ln2^2*z3^2 + 78760500*z2*z3^2 - 95599000*ln2^3*z5 + 
    104181000*ln2*z2*z5 - 83805750*z3*z5 + 383935125*ln2*z7)/18816000, 
 H[-1, -1, -1, 0, -1, -1, 1, 0, 1] -> 
  (-70560000*li4half^2 + 2257920000*li8half + 18816000*li5half*ln2^3 - 
    5880000*li4half*ln2^4 - 223300*ln2^8 - 102312000*ln2^2*s6 - 
    110880000*ln2*s7a - 12096000*ln2*s7b + 533197350*s8a + 2883888000*s8b + 
    433440000*s8c + 46368000*s8d + 141120000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 28224000*li4half*ln2^2*z2 + 431200*ln2^6*z2 - 
    279720000*s6*z2 + 69955200*li4half*z2^2 - 12902400*ln2^4*z2^2 - 
    75205200*ln2^2*z2^3 - 98701884*z2^4 - 367920000*li5half*z3 - 
    119952000*li4half*ln2*z3 - 1932000*ln2^5*z3 + 5208000*ln2^3*z2*z3 - 
    321136200*ln2*z2^2*z3 - 213774750*ln2^2*z3^2 - 412067250*z2*z3^2 - 
    102973500*ln2^3*z5 - 1262803500*ln2*z2*z5 - 133048125*z3*z5 - 
    227918250*ln2*z7)/28224000, H[-1, -1, -1, 0, -1, -1, 1, -1, 1] -> 
  (-84672000*li4half^2 - 451584000*li8half - 28224000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 28224000*li5half*ln2^3 - 4704000*li4half*ln2^4 + 
    219800*ln2^8 + 42840000*ln2^2*s6 - 38304000*ln2*s7a - 151200000*ln2*s7b - 
    92540700*s8a - 1031184000*s8b + 12096000*s8c - 223776000*s8d + 
    141120000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 784000*ln2^6*z2 + 
    553392000*s6*z2 + 22982400*li4half*z2^2 + 5896800*ln2^4*z2^2 - 
    17589600*ln2^2*z2^3 + 81432648*z2^4 + 376992000*li5half*z3 - 
    155232000*li4half*ln2*z3 - 9815400*ln2^5*z3 + 76398000*ln2^3*z2*z3 + 
    242650800*ln2*z2^2*z3 - 79789500*ln2^2*z3^2 + 45171000*z2*z3^2 + 
    111499500*ln2^3*z5 + 411390000*ln2*z2*z5 - 356674500*z3*z5 - 
    1185415875*ln2*z7)/28224000, H[-1, -1, -1, 0, -1, -1, 0, 1, 1] -> 
  (-46166400*ln2^2*s6 + 20966400*ln2*s7a - 21369600*ln2*s7b + 87051825*s8a + 
    429508800*s8b + 50400000*s8c + 42739200*s8d + 112896000*li6half*z2 + 
    45158400*li5half*ln2*z2 + 5644800*li4half*ln2^2*z2 + 15680*ln2^6*z2 - 
    153216000*s6*z2 + 9394560*li4half*z2^2 + 391440*ln2^4*z2^2 + 
    6894720*ln2^2*z2^3 - 23353272*z2^4 - 113702400*li5half*z3 - 
    7056000*li4half*ln2*z3 + 653520*ln2^5*z3 - 6652800*ln2^3*z2*z3 - 
    61041960*ln2*z2^2*z3 + 18944100*ln2^2*z3^2 - 45473400*z2*z3^2 + 
    53125800*ln2^3*z5 - 19366200*ln2*z2*z5 + 111448575*z3*z5 - 
    165162375*ln2*z7)/11289600, H[-1, -1, -1, 0, -1, -1, 0, 0, 1] -> 
  (-3528000*li4half^2 - 294000*li4half*ln2^4 - 6125*ln2^8 + 
    1512000*ln2^2*s6 - 4581675*s8a - 4158000*s8b - 3024000*s8c + 
    6552000*s8d + 1764000*li4half*ln2^2*z2 + 73500*ln2^6*z2 - 
    14868000*s6*z2 + 3956400*li4half*z2^2 - 55650*ln2^4*z2^2 - 
    577500*ln2^2*z2^3 - 5955858*z2^4 - 2520000*li5half*z3 - 
    3528000*li4half*ln2*z3 - 126000*ln2^5*z3 + 378000*ln2^3*z2*z3 + 
    1757700*ln2*z2^2*z3 + 1307250*ln2^2*z3^2 + 173250*z2*z3^2 - 
    294000*ln2^3*z5 + 17010000*ln2*z2*z5 + 21750750*z3*z5 + 26901000*ln2*z7)/
   3528000, H[-1, -1, -1, 0, -1, -1, 0, -1, 1] -> 
  (-84672000*li4half^2 - 7056000*li4half*ln2^4 - 147000*ln2^8 + 
    282240000*ln2^2*s6 - 104832000*ln2*s7a + 106848000*ln2*s7b - 
    371517300*s8a - 2209536000*s8b - 354816000*s8c - 68544000*s8d + 
    282240000*li6half*z2 + 112896000*li5half*ln2*z2 + 
    56448000*li4half*ln2^2*z2 + 1803200*ln2^6*z2 + 348768000*s6*z2 + 
    54028800*li4half*z2^2 - 3040800*ln2^4*z2^2 - 87544800*ln2^2*z2^3 - 
    230013648*z2^4 + 80640000*li5half*z3 - 162288000*li4half*ln2*z3 - 
    7434000*ln2^5*z3 + 37884000*ln2^3*z2*z3 + 244843200*ln2*z2^2*z3 - 
    24696000*ln2^2*z3^2 + 333144000*z2*z3^2 - 247401000*ln2^3*z5 + 
    913311000*ln2*z2*z5 + 89617500*z3*z5 + 1749927375*ln2*z7)/56448000, 
 H[-1, -1, -1, 0, -1, -1, -1, 1, 1] -> 
  (-56448000*li4half^2 - 1128960000*li7half*ln2 - 395136000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 9408000*li4half*ln2^4 - 462000*ln2^8 + 
    156240000*ln2^2*s6 - 104832000*ln2*s7a + 106848000*ln2*s7b + 
    110388600*s8a + 1324512000*s8b + 24192000*s8c + 116928000*s8d + 
    564480000*li6half*z2 + 28224000*li4half*ln2^2*z2 + 2744000*ln2^6*z2 - 
    304416000*s6*z2 + 68544000*li4half*z2^2 - 23251200*ln2^4*z2^2 - 
    178869600*ln2^2*z2^3 - 33150384*z2^4 - 233856000*li5half*z3 - 
    98784000*li4half*ln2*z3 - 2167200*ln2^5*z3 + 1092000*ln2^3*z2*z3 - 
    98229600*ln2*z2^2*z3 - 133560000*ln2^2*z3^2 - 50778000*z2*z3^2 - 
    205359000*ln2^3*z5 - 393057000*ln2*z2*z5 - 259119000*z3*z5 + 
    1072551375*ln2*z7)/56448000, H[-1, -1, -1, 0, -1, -1, -1, 0, 1] -> 
  (3528000*li4half^2 + 294000*li4half*ln2^4 + 6125*ln2^8 + 1512000*ln2^2*s6 - 
    13798575*s8a - 165564000*s8b - 3024000*s8c - 14616000*s8d - 
    35280000*li6half*z2 - 14112000*li5half*ln2*z2 - 
    3528000*li4half*ln2^2*z2 - 78400*ln2^6*z2 + 38052000*s6*z2 - 
    5745600*li4half*z2^2 - 18900*ln2^4*z2^2 - 1780800*ln2^2*z2^3 - 
    4484682*z2^4 + 32760000*li5half*z3 + 7056000*li4half*ln2*z3 + 
    21000*ln2^5*z3 + 1554000*ln2^3*z2*z3 + 11812500*ln2*z2^2*z3 - 
    3102750*ln2^2*z3^2 + 6347250*z2*z3^2 + 3528000*ln2^3*z5 + 
    23184000*ln2*z2*z5 + 28861875*z3*z5 + 127008000*ln2*z7)/7056000, 
 H[-1, -1, -1, 0, -1, -1, -1, -1, 1] -> 
  (1411200*li8half + 806400*li7half*ln2 + 201600*li6half*ln2^2 + 
    26880*li5half*ln2^3 + 1680*li4half*ln2^4 + ln2^8 - 23040*ln2^2*z2^3 - 
    193536*z2^4 + 6720*ln2^3*z5 + 604800*ln2*z7)/40320, 
 H[-1, -1, -1, -1, 1, 1, 1, 1, 1] -> 
  (806400*li7half*ln2 + 403200*li6half*ln2^2 + 67200*li5half*ln2^3 - 
    150*ln2^8 - 100800*ln2^2*s6 + 201600*ln2*s7a + 560*ln2^6*z2 + 
    74880*ln2^2*z2^3 + 71856*z2^4 + 30240*ln2*z2^2*z3 + 25200*ln2^2*z3^2 + 
    201600*z2*z3^2 + 128100*ln2^3*z5 + 409500*ln2*z2*z5 - 806400*z3*z5 - 
    1406475*ln2*z7)/403200, H[-1, -1, -1, -1, 1, 1, 1, 0, 1] -> 
  (4032000*li4half^2 + 193536000*li8half + 112896000*li7half*ln2 + 
    24192000*li6half*ln2^2 + 1344000*li5half*ln2^3 - 2200*ln2^8 - 
    23184000*ln2^2*s6 + 28224000*ln2*s7a + 22898925*s8a + 239400000*s8b + 
    2016000*s8c + 38304000*s8d - 4032000*li5half*ln2*z2 - 
    4032000*li4half*ln2^2*z2 - 100800*ln2^6*z2 - 96768000*s6*z2 + 
    4435200*li4half*z2^2 + 739200*ln2^4*z2^2 + 3909600*ln2^2*z2^3 - 
    23676552*z2^4 - 75600000*li5half*z3 + 8064000*li4half*ln2*z3 + 
    898800*ln2^5*z3 - 8316000*ln2^3*z2*z3 - 33679800*ln2*z2^2*z3 + 
    27436500*ln2^2*z3^2 - 13387500*z2*z3^2 + 28602000*ln2^3*z5 - 
    5292000*ln2*z2*z5 + 48974625*z3*z5 - 35626500*ln2*z7)/8064000, 
 H[-1, -1, -1, -1, 1, 1, 1, -1, 1] -> 
  (-56448000*li8half - 169344000*li7half*ln2 - 84672000*li6half*ln2^2 - 
    18816000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 28000*ln2^8 + 
    5040000*ln2^2*s6 - 10080000*ln2*s7a + 159264000*ln2*s7b - 160418475*s8a - 
    802872000*s8b - 159264000*s8c + 18144000*s8d + 117600*ln2^6*z2 + 
    34272000*s6*z2 + 3628800*li4half*z2^2 + 151200*ln2^4*z2^2 - 
    7761600*ln2^2*z2^3 - 73739016*z2^4 - 36288000*li5half*z3 - 
    109200*ln2^5*z3 - 3024000*ln2^3*z2*z3 + 22969800*ln2*z2^2*z3 + 
    7812000*ln2^2*z3^2 + 137308500*z2*z3^2 - 109074000*ln2^3*z5 - 
    51786000*ln2*z2*z5 + 147538125*z3*z5 + 1638858375*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 1, 1, 0, 1, 1] -> 
  (-28224000*li4half^2 - 301056000*li8half - 263424000*li7half*ln2 - 
    94080000*li6half*ln2^2 - 15680000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 
    4200*ln2^8 + 58128000*ln2^2*s6 - 73920000*ln2*s7a - 22176000*ln2*s7b - 
    27332550*s8a - 339360000*s8b - 1344000*s8c - 59808000*s8d - 
    47040000*li6half*z2 - 18816000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 470400*ln2^6*z2 + 117264000*s6*z2 + 
    10617600*li4half*z2^2 - 1850800*ln2^4*z2^2 - 20344800*ln2^2*z2^3 + 
    35517792*z2^4 + 133728000*li5half*z3 - 49392000*li4half*ln2*z3 - 
    2721600*ln2^5*z3 + 26236000*ln2^3*z2*z3 + 77011200*ln2*z2^2*z3 - 
    59797500*ln2^2*z3^2 + 14458500*z2*z3^2 - 48216000*ln2^3*z5 + 
    66969000*ln2*z2*z5 - 44184000*z3*z5 + 21716625*ln2*z7)/18816000, 
 H[-1, -1, -1, -1, 1, 1, 0, 0, 1] -> 
  (4032000*li4half^2 - 48384000*li8half - 32256000*li7half*ln2 - 
    12096000*li6half*ln2^2 - 2688000*li5half*ln2^3 + 3800*ln2^8 - 
    10080000*ln2^2*s6 + 2016000*ln2*s7a + 8660925*s8a + 19656000*s8b + 
    10080000*s8c + 2016000*s8d - 16128000*li6half*z2 - 
    10080000*li5half*ln2*z2 - 4032000*li4half*ln2^2*z2 - 95200*ln2^6*z2 - 
    14112000*s6*z2 - 2822400*li4half*z2^2 + 260400*ln2^4*z2^2 + 
    3967200*ln2^2*z2^3 + 7626168*z2^4 - 4536000*li5half*z3 + 
    8064000*li4half*ln2*z3 + 340200*ln2^5*z3 - 2436000*ln2^3*z2*z3 - 
    10218600*ln2*z2^2*z3 + 2362500*ln2^2*z3^2 - 6205500*z2*z3^2 + 
    5166000*ln2^3*z5 - 22428000*ln2*z2*z5 + 24231375*z3*z5 + 25940250*ln2*z7)/
   4032000, H[-1, -1, -1, -1, 1, 1, 0, -1, 1] -> 
  (-1072512000*li8half - 564480000*li7half*ln2 - 169344000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 + 85400*ln2^8 - 100800000*ln2^2*s6 - 
    36288000*ln2*s7a - 120960000*ln2*s7b + 202398525*s8a + 528696000*s8b + 
    231840000*s8c - 20160000*s8d - 56448000*li6half*z2 - 
    28224000*li5half*ln2*z2 - 235200*ln2^6*z2 - 79632000*s6*z2 - 
    4032000*li4half*z2^2 + 1478400*ln2^4*z2^2 + 48636000*ln2^2*z2^3 + 
    157287744*z2^4 + 54432000*li5half*z3 - 159600*ln2^5*z3 + 
    8652000*ln2^3*z2*z3 - 67170600*ln2*z2^2*z3 - 49959000*ln2^2*z3^2 - 
    197914500*z2*z3^2 + 99078000*ln2^3*z5 - 338436000*ln2*z2*z5 + 
    295021125*z3*z5 - 713191500*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 1, 1, -1, 1, 1] -> 
  (197568000*li8half + 112896000*li7half*ln2 + 42336000*li6half*ln2^2 + 
    14112000*li5half*ln2^3 + 3528000*li4half*ln2^4 + 70000*ln2^8 + 
    8064000*ln2^2*s6 + 11088000*ln2*s7a - 66528000*ln2*s7b + 84831075*s8a + 
    464184000*s8b + 46368000*s8c + 38304000*s8d - 254800*ln2^6*z2 - 
    118944000*s6*z2 + 7660800*li4half*z2^2 + 319200*ln2^4*z2^2 - 
    3024000*ln2^2*z2^3 - 15181368*z2^4 - 76608000*li5half*z3 + 
    1050000*ln2^5*z3 - 6384000*ln2^3*z2*z3 - 36930600*ln2*z2^2*z3 + 
    27846000*ln2^2*z3^2 - 72040500*z2*z3^2 + 45717000*ln2^3*z5 + 
    58747500*ln2*z2*z5 + 107800875*z3*z5 - 527829750*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, 1, 1, -1, 0, 1] -> 
  (-217728000*li8half - 137088000*li7half*ln2 - 36288000*li6half*ln2^2 - 
    5376000*li5half*ln2^3 - 672000*li4half*ln2^4 - 11800*ln2^8 + 
    23184000*ln2^2*s6 - 28224000*ln2*s7a + 30240000*ln2*s7b - 59049900*s8a - 
    389088000*s8b - 32256000*s8c - 38304000*s8d - 4032000*li6half*z2 + 
    44800*ln2^6*z2 + 112896000*s6*z2 - 7660800*li4half*z2^2 - 
    369600*ln2^4*z2^2 - 3103200*ln2^2*z2^3 + 18882576*z2^4 + 
    76608000*li5half*z3 - 747600*ln2^5*z3 + 5796000*ln2^3*z2*z3 + 
    38606400*ln2*z2^2*z3 - 23908500*ln2^2*z3^2 + 43470000*z2*z3^2 - 
    48132000*ln2^3*z5 + 4284000*ln2*z2*z5 - 55896750*z3*z5 + 
    273128625*ln2*z7)/8064000, H[-1, -1, -1, -1, 1, 1, -1, -1, 1] -> 
  (-225792000*li8half - 56448000*li7half*ln2 + 7000*ln2^8 - 
    7056000*ln2^2*s6 - 40320000*ln2*s7a - 54432000*ln2*s7b + 46608975*s8a + 
    36792000*s8b + 94752000*s8c - 94752000*s8d - 78400*ln2^6*z2 + 
    189504000*s6*z2 - 18950400*li4half*z2^2 - 789600*ln2^4*z2^2 + 
    3326400*ln2^2*z2^3 + 85478616*z2^4 + 189504000*li5half*z3 - 
    1167600*ln2^5*z3 + 15792000*ln2^3*z2*z3 + 39425400*ln2*z2^2*z3 - 
    67032000*ln2^2*z3^2 - 60700500*z2*z3^2 + 17934000*ln2^3*z5 - 
    123921000*ln2*z2*z5 - 221909625*z3*z5 - 652766625*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 1, 0, 1, 1, 1] -> 
  (112896000*li4half^2 - 225792000*li8half - 112896000*li7half*ln2 + 
    9408000*li5half*ln2^3 + 11760000*li4half*ln2^4 + 232400*ln2^8 - 
    12096000*ln2^2*s6 + 52416000*ln2*s7a + 122976000*ln2*s7b - 
    135272025*s8a - 657720000*s8b - 122976000*s8c + 24192000*s8d + 
    84672000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    56448000*li4half*ln2^2*z2 - 2587200*ln2^6*z2 + 85680000*s6*z2 - 
    67132800*li4half*z2^2 + 4552800*ln2^4*z2^2 + 19908000*ln2^2*z2^3 - 
    47498184*z2^4 - 168336000*li5half*z3 + 134064000*li4half*ln2*z3 + 
    6930000*ln2^5*z3 - 47544000*ln2^3*z2*z3 - 73243800*ln2*z2^2*z3 + 
    87664500*ln2^2*z3^2 + 34681500*z2*z3^2 - 56448000*ln2^3*z5 - 
    131229000*ln2*z2*z5 + 449465625*z3*z5 + 1245281625*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 1, 0, 1, 0, 1] -> 
  (-84672000*li4half^2 + 112896000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 2352000*li4half*ln2^4 - 51800*ln2^8 + 
    41328000*ln2^2*s6 - 68544000*ln2*s7a - 167328000*ln2*s7b + 
    124210800*s8a + 401184000*s8b + 153216000*s8c - 82656000*s8d + 
    56448000*li6half*z2 + 70560000*li5half*ln2*z2 + 
    77616000*li4half*ln2^2*z2 + 2410800*ln2^6*z2 + 144144000*s6*z2 + 
    39916800*li4half*z2^2 - 6245400*ln2^4*z2^2 - 18606000*ln2^2*z2^3 + 
    61266348*z2^4 + 228816000*li5half*z3 - 109368000*li4half*ln2*z3 - 
    5993400*ln2^5*z3 + 53172000*ln2^3*z2*z3 + 88086600*ln2*z2^2*z3 - 
    94326750*ln2^2*z3^2 - 108738000*z2*z3^2 + 57771000*ln2^3*z5 - 
    4284000*ln2*z2*z5 - 332199000*z3*z5 - 1420437375*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, 1, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 + 3217536000*li8half + 1919232000*li7half*ln2 + 
    677376000*li6half*ln2^2 + 141120000*li5half*ln2^3 + 
    4704000*li4half*ln2^4 - 291200*ln2^8 - 9072000*ln2^2*s6 + 
    131040000*ln2*s7a - 334656000*ln2*s7b + 523153575*s8a + 3889368000*s8b + 
    405216000*s8c + 88704000*s8d - 112896000*li5half*ln2*z2 - 
    70560000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 - 424368000*s6*z2 + 
    29030400*li4half*z2^2 + 2503200*ln2^4*z2^2 - 49744800*ln2^2*z2^3 - 
    45209088*z2^4 - 106848000*li5half*z3 + 63504000*li4half*ln2*z3 + 
    2772000*ln2^5*z3 - 61824000*ln2^3*z2*z3 - 196648200*ln2*z2^2*z3 + 
    42210000*ln2^2*z3^2 - 383071500*z2*z3^2 + 252399000*ln2^3*z5 + 
    3339000*ln2*z2*z5 - 1070393625*z3*z5 - 4599141750*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 1, 0, 0, 1, 1] -> 
  (18816000*li4half^2 + 112896000*li8half + 37632000*li7half*ln2 + 
    9408000*li6half*ln2^2 + 3136000*li5half*ln2^3 + 2352000*li4half*ln2^4 + 
    47600*ln2^8 + 336000*ln2^2*s6 - 5376000*ln2*s7a + 27552000*ln2*s7b - 
    18350325*s8a - 29064000*s8b - 18144000*s8c - 5376000*s8d + 
    9408000*li6half*z2 + 28224000*li5half*ln2*z2 + 4704000*li4half*ln2^2*z2 - 
    78400*ln2^6*z2 + 20160000*s6*z2 - 12129600*li4half*z2^2 - 
    936600*ln2^4*z2^2 + 1716400*ln2^2*z2^3 - 5226432*z2^4 - 
    13944000*li5half*z3 + 5880000*li4half*ln2*z3 + 420000*ln2^5*z3 - 
    84000*ln2^3*z2*z3 - 3108000*ln2*z2^2*z3 - 5124000*ln2^2*z3^2 + 
    24816750*z2*z3^2 - 25039000*ln2^3*z5 - 27825000*ln2*z2*z5 - 
    73182375*z3*z5 + 76983375*ln2*z7)/9408000, 
 H[-1, -1, -1, -1, 1, 0, 0, 0, 1] -> 
  (-322560*li4half^2 - 26880*li4half*ln2^4 - 560*ln2^8 + 100800*ln2^2*s6 - 
    201600*ln2*s7a - 42210*s8a - 645120*s8b - 80640*s8d + 80640*li6half*z2 + 
    80640*li5half*ln2*z2 + 201600*li4half*ln2^2*z2 + 7840*ln2^6*z2 + 
    120960*s6*z2 + 258048*li4half*z2^2 - 13272*ln2^4*z2^2 - 
    63648*ln2^2*z2^3 - 144432*z2^4 + 322560*li5half*z3 - 
    403200*li4half*ln2*z3 - 19488*ln2^5*z3 + 132720*ln2^3*z2*z3 + 
    298368*ln2*z2^2*z3 - 262080*ln2^2*z3^2 - 157080*ln2^3*z5 + 
    69300*ln2*z2*z5 + 65520*z3*z5 + 593775*ln2*z7)/80640, 
 H[-1, -1, -1, -1, 1, 0, 0, -1, 1] -> 
  (-63504000*li4half^2 - 141120000*li8half - 56448000*li7half*ln2 - 
    14112000*li6half*ln2^2 - 4704000*li5half*ln2^3 - 6468000*li4half*ln2^4 - 
    131950*ln2^8 + 33264000*ln2^2*s6 - 63504000*ln2*s7a - 28224000*ln2*s7b - 
    13478850*s8a - 354312000*s8b + 18144000*s8c - 49896000*s8d + 
    14112000*li6half*z2 + 21168000*li5half*ln2*z2 + 
    42336000*li4half*ln2^2*z2 + 1666000*ln2^6*z2 + 112140000*s6*z2 + 
    42588000*li4half*z2^2 - 3297000*ln2^4*z2^2 - 15199800*ln2^2*z2^3 - 
    17298756*z2^4 + 78624000*li5half*z3 - 132300000*li4half*ln2*z3 - 
    6255900*ln2^5*z3 + 41538000*ln2^3*z2*z3 + 80608500*ln2*z2^2*z3 - 
    84687750*ln2^2*z3^2 - 2748375*z2*z3^2 - 21682500*ln2^3*z5 + 
    27153000*ln2*z2*z5 + 73899000*z3*z5 + 145144125*ln2*z7)/14112000, 
 H[-1, -1, -1, -1, 1, 0, -1, 1, 1] -> 
  (84672000*li4half^2 - 1975680000*li8half - 1524096000*li7half*ln2 - 
    677376000*li6half*ln2^2 - 159936000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 + 302400*ln2^8 - 36288000*ln2^2*s6 - 
    209664000*ln2*s7a + 312480000*ln2*s7b - 375883200*s8a - 2548224000*s8b - 
    241920000*s8c - 167328000*s8d - 169344000*li6half*z2 + 
    84672000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 + 274400*ln2^6*z2 + 
    468720000*s6*z2 - 81446400*li4half*z2^2 + 369600*ln2^4*z2^2 + 
    52466400*ln2^2*z2^3 + 151733088*z2^4 + 271152000*li5half*z3 + 
    7056000*li4half*ln2*z3 - 2730000*ln2^5*z3 + 57876000*ln2^3*z2*z3 + 
    160498800*ln2*z2^2*z3 - 130599000*ln2^2*z3^2 + 316165500*z2*z3^2 - 
    303555000*ln2^3*z5 - 293139000*ln2*z2*z5 + 63267750*z3*z5 + 
    2901583125*ln2*z7)/56448000, H[-1, -1, -1, -1, 1, 0, -1, 0, 1] -> 
  (-98784000*li4half^2 + 112896000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    18816000*li5half*ln2^3 - 3528000*li4half*ln2^4 - 76300*ln2^8 + 
    20664000*ln2^2*s6 - 61488000*ln2*s7a - 40320000*ln2*s7b + 64688400*s8a + 
    121968000*s8b + 60480000*s8c - 18144000*s8d + 56448000*li6half*z2 + 
    42336000*li5half*ln2*z2 + 70560000*li4half*ln2^2*z2 + 2352000*ln2^6*z2 - 
    16632000*s6*z2 + 69048000*li4half*z2^2 - 4620000*ln2^4*z2^2 - 
    1100400*ln2^2*z2^3 - 31485096*z2^4 + 68040000*li5half*z3 - 
    141120000*li4half*ln2*z3 - 6094200*ln2^5*z3 + 42420000*ln2^3*z2*z3 + 
    54495000*ln2*z2^2*z3 - 88893000*ln2^2*z3^2 - 55172250*z2*z3^2 - 
    39543000*ln2^3*z5 - 58590000*ln2*z2*z5 + 58519125*z3*z5 - 
    205041375*ln2*z7)/28224000, H[-1, -1, -1, -1, 1, 0, -1, -1, 1] -> 
  (-21168000*li4half^2 - 282240000*li8half - 70560000*li7half*ln2 + 
    2352000*li5half*ln2^3 - 1176000*li4half*ln2^4 - 24850*ln2^8 + 
    21924000*ln2^2*s6 - 43848000*ln2*s7a + 9072000*ln2*s7b - 41395725*s8a - 
    496692000*s8b - 9072000*s8c - 43848000*s8d + 10584000*li4half*ln2^2*z2 + 
    392000*ln2^6*z2 + 114156000*s6*z2 + 8164800*li4half*z2^2 - 
    277200*ln2^4*z2^2 + 5317200*ln2^2*z2^3 - 4019166*z2^4 + 
    85932000*li5half*z3 - 38808000*li4half*ln2*z3 - 2347800*ln2^5*z3 + 
    16863000*ln2^3*z2*z3 + 50028300*ln2*z2^2*z3 - 44383500*ln2^2*z3^2 + 
    19041750*z2*z3^2 - 48289500*ln2^3*z5 - 1086750*ln2*z2*z5 + 
    98933625*z3*z5 + 363848625*ln2*z7)/14112000, 
 H[-1, -1, -1, -1, 1, -1, 1, 1, 1] -> 
  (1072512000*li8half + 395136000*li7half*ln2 - 28224000*li5half*ln2^3 - 
    7056000*li4half*ln2^4 - 112000*ln2^8 - 134064000*ln2^2*s6 + 
    100800000*ln2*s7a - 26208000*ln2*s7b + 138491325*s8a + 1426824000*s8b + 
    66528000*s8c + 187488000*s8d + 313600*ln2^6*z2 - 501984000*s6*z2 + 
    37497600*li4half*z2^2 + 1562400*ln2^4*z2^2 + 2923200*ln2^2*z2^3 - 
    119220648*z2^4 - 374976000*li5half*z3 + 2713200*ln2^5*z3 - 
    31248000*ln2^3*z2*z3 - 172078200*ln2*z2^2*z3 + 105840000*ln2^2*z3^2 - 
    134347500*z2*z3^2 + 173460000*ln2^3*z5 - 259749000*ln2*z2*z5 + 
    313795125*z3*z5 + 40375125*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 1, -1, 1, 0, 1] -> 
  (-1636992000*li8half - 1016064000*li7half*ln2 - 254016000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 + 43400*ln2^8 + 51408000*ln2^2*s6 - 
    118944000*ln2*s7a - 104832000*ln2*s7b + 72587025*s8a - 662760000*s8b + 
    135072000*s8c - 135072000*s8d - 197568000*li6half*z2 - 
    84672000*li5half*ln2*z2 + 235200*ln2^6*z2 + 206640000*s6*z2 - 
    27014400*li4half*z2^2 - 5006400*ln2^4*z2^2 + 5997600*ln2^2*z2^3 + 
    212316624*z2^4 + 291312000*li5half*z3 - 1957200*ln2^5*z3 + 
    32508000*ln2^3*z2*z3 + 68405400*ln2*z2^2*z3 - 105934500*ln2^2*z3^2 - 
    38020500*z2*z3^2 - 17934000*ln2^3*z5 + 53550000*ln2*z2*z5 + 
    100114875*z3*z5 - 317094750*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 1, -1, 1, -1, 1] -> 
  (-620928000*li8half - 282240000*li7half*ln2 - 42336000*li6half*ln2^2 - 
    17500*ln2^8 + 76104000*ln2^2*s6 - 68544000*ln2*s7a - 26208000*ln2*s7b - 
    46270350*s8a - 515592000*s8b + 6048000*s8c - 111888000*s8d + 
    137200*ln2^6*z2 + 276696000*s6*z2 - 22377600*li4half*z2^2 - 
    932400*ln2^4*z2^2 - 4183200*ln2^2*z2^3 + 101680164*z2^4 + 
    223776000*li5half*z3 - 2276400*ln2^5*z3 + 18648000*ln2^3*z2*z3 + 
    89573400*ln2*z2^2*z3 - 64260000*ln2^2*z3^2 + 22585500*z2*z3^2 - 
    73059000*ln2^3*z5 + 128079000*ln2*z2*z5 - 213617250*z3*z5 - 
    497644875*ln2*z7)/28224000, H[-1, -1, -1, -1, 1, -1, 0, 1, 1] -> 
  (16934400*li4half^2 + 259660800*li8half + 237081600*li7half*ln2 + 
    95961600*li6half*ln2^2 + 22579200*li5half*ln2^3 + 4704000*li4half*ln2^4 + 
    71120*ln2^8 - 24796800*ln2^2*s6 + 24192000*ln2*s7a - 37900800*ln2*s7b + 
    69969375*s8a + 416203200*s8b + 52012800*s8c + 15724800*s8d + 
    62092800*li6half*z2 + 45158400*li5half*ln2*z2 + 
    8467200*li4half*ln2^2*z2 - 86240*ln2^6*z2 - 51206400*s6*z2 - 
    7862400*li4half*z2^2 - 1068480*ln2^4*z2^2 + 8547840*ln2^2*z2^3 - 
    12133008*z2^4 - 61084800*li5half*z3 + 8467200*li4half*ln2*z3 + 
    1167600*ln2^5*z3 - 3914400*ln2^3*z2*z3 - 41985720*ln2*z2^2*z3 + 
    14017500*ln2^2*z3^2 - 51225300*z2*z3^2 + 48980400*ln2^3*z5 - 
    31474800*ln2*z2*z5 - 30210075*z3*z5 - 514407600*ln2*z7)/11289600, 
 H[-1, -1, -1, -1, 1, -1, 0, 0, 1] -> 
  (-127008000*li4half^2 + 282240000*li8half + 169344000*li7half*ln2 + 
    56448000*li6half*ln2^2 + 9408000*li5half*ln2^3 - 10584000*li4half*ln2^4 - 
    247100*ln2^8 + 110376000*ln2^2*s6 - 93744000*ln2*s7a + 26208000*ln2*s7b - 
    148531950*s8a - 753984000*s8b - 96768000*s8c - 93744000*s8d + 
    127008000*li6half*z2 + 84672000*li5half*ln2*z2 + 
    84672000*li4half*ln2^2*z2 + 3116400*ln2^6*z2 + 286272000*s6*z2 + 
    78624000*li4half*z2^2 - 6426000*ln2^4*z2^2 - 58413600*ln2^2*z2^3 - 
    81123192*z2^4 + 250992000*li5half*z3 - 169344000*li4half*ln2*z3 - 
    9324000*ln2^5*z3 + 65604000*ln2^3*z2*z3 + 203414400*ln2*z2^2*z3 - 
    115699500*ln2^2*z3^2 + 95949000*z2*z3^2 - 104517000*ln2^3*z5 + 
    203175000*ln2*z2*z5 - 309952125*z3*z5 + 277641000*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, 1, -1, 0, -1, 1] -> 
  (-254016000*li4half^2 + 1128960000*li8half + 620928000*li7half*ln2 + 
    197568000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    18816000*li4half*ln2^4 - 477400*ln2^8 + 222768000*ln2^2*s6 - 
    207648000*ln2*s7a - 122976000*ln2*s7b - 92540700*s8a - 1031184000*s8b + 
    12096000*s8c - 223776000*s8d + 141120000*li6half*z2 + 
    112896000*li5half*ln2*z2 + 169344000*li4half*ln2^2*z2 + 
    6507200*ln2^6*z2 + 553392000*s6*z2 + 158457600*li4half*z2^2 - 
    16212000*ln2^4*z2^2 - 136029600*ln2^2*z2^3 - 194678712*z2^4 + 
    391104000*li5half*z3 - 486864000*li4half*ln2*z3 - 23427600*ln2^5*z3 + 
    162540000*ln2^3*z2*z3 + 365425200*ln2*z2^2*z3 - 315504000*ln2^2*z3^2 + 
    45171000*z2*z3^2 - 99078000*ln2^3*z5 + 350532000*ln2*z2*z5 - 
    370786500*z3*z5 + 8481375*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 1, -1, -1, 1, 1] -> 
  (-1919232000*li8half - 1072512000*li7half*ln2 - 254016000*li6half*ln2^2 - 
    28224000*li5half*ln2^3 + 49000*ln2^8 + 52416000*ln2^2*s6 - 
    104832000*ln2*s7a + 106848000*ln2*s7b - 175670775*s8a - 1545768000*s8b - 
    106848000*s8c - 104832000*s8d - 196000*ln2^6*z2 + 315504000*s6*z2 - 
    20966400*li4half*z2^2 - 873600*ln2^4*z2^2 + 16531200*ln2^2*z2^3 + 
    146541456*z2^4 + 209664000*li5half*z3 - 1335600*ln2^5*z3 + 
    17472000*ln2^3*z2*z3 + 106003800*ln2*z2^2*z3 - 65520000*ln2^2*z3^2 + 
    121369500*z2*z3^2 - 146118000*ln2^3*z5 + 63000*ln2*z2*z5 + 
    202631625*z3*z5 + 1072551375*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 1, -1, -1, 0, 1] -> 
  (-84672000*li4half^2 + 1693440000*li8half + 1072512000*li7half*ln2 + 
    282240000*li6half*ln2^2 + 37632000*li5half*ln2^3 - 
    4704000*li4half*ln2^4 - 141400*ln2^8 + 28224000*ln2^2*s6 - 
    40320000*ln2*s7a - 54432000*ln2*s7b + 36521100*s8a + 477792000*s8b + 
    24192000*s8c - 24192000*s8d + 282240000*li6half*z2 + 
    169344000*li5half*ln2*z2 + 84672000*li4half*ln2^2*z2 + 2508800*ln2^6*z2 + 
    48384000*s6*z2 + 62899200*li4half*z2^2 - 4082400*ln2^4*z2^2 - 
    46821600*ln2^2*z2^3 - 215099424*z2^4 + 6048000*li5half*z3 - 
    169344000*li4half*ln2*z3 - 7165200*ln2^5*z3 + 46956000*ln2^3*z2*z3 + 
    69501600*ln2*z2^2*z3 - 67693500*ln2^2*z3^2 - 15498000*z2*z3^2 + 
    17934000*ln2^3*z5 + 59535000*ln2*z2*z5 - 365620500*z3*z5 - 
    426974625*ln2*z7)/56448000, H[-1, -1, -1, -1, 1, -1, -1, -1, 1] -> 
  (29400*li8half + 16800*li7half*ln2 + 4200*li6half*ln2^2 + 
    560*li5half*ln2^3 + 35*li4half*ln2^4 - 480*ln2^2*z2^3 - 4032*z2^4 + 
    140*ln2^3*z5 + 12600*ln2*z7)/840, H[-1, -1, -1, -1, 0, 1, 1, 1, 1] -> 
  (-403200*li4half^2 + 806400*li7half*ln2 + 403200*li6half*ln2^2 + 
    67200*li5half*ln2^3 - 33600*li4half*ln2^4 - 860*ln2^8 + 302400*ln2^2*s6 - 
    201600*ln2*s7a - 403200*ln2*s7b - 403200*li6half*z2 - 
    403200*li5half*ln2*z2 + 100800*li4half*ln2^2*z2 + 7560*ln2^6*z2 - 
    100800*s6*z2 + 141120*li4half*z2^2 - 12600*ln2^4*z2^2 - 
    60480*ln2^2*z2^3 + 44712*z2^4 + 705600*li5half*z3 - 
    302400*li4half*ln2*z3 - 18480*ln2^5*z3 + 134400*ln2^3*z2*z3 + 
    476280*ln2*z2^2*z3 - 124425*ln2^2*z3^2 - 50400*z2*z3^2 + 
    138600*ln2^3*z5 + 1386000*ln2*z2*z5 - 341775*z3*z5 - 3546900*ln2*z7)/
   403200, H[-1, -1, -1, -1, 0, 1, 1, 0, 1] -> 
  (-14112000*li4half^2 - 1176000*li4half*ln2^4 - 24500*ln2^8 + 
    1008000*ln2^2*s6 - 28224000*ln2*s7a - 28224000*ln2*s7b + 41600475*s8a + 
    111888000*s8b + 54432000*s8c - 33264000*s8d + 28224000*li6half*z2 + 
    14112000*li5half*ln2*z2 + 7056000*li4half*ln2^2*z2 + 215600*ln2^6*z2 + 
    63000000*s6*z2 + 19454400*li4half*z2^2 - 71400*ln2^4*z2^2 - 
    5392800*ln2^2*z2^3 + 13748976*z2^4 + 13608000*li5half*z3 - 
    49392000*li4half*ln2*z3 - 2171400*ln2^5*z3 + 11130000*ln2^3*z2*z3 + 
    5140800*ln2*z2^2*z3 - 41280750*ln2^2*z3^2 - 42036750*z2*z3^2 - 
    2940000*ln2^3*z5 - 83034000*ln2*z2*z5 - 33145875*z3*z5 - 
    228658500*ln2*z7)/28224000, H[-1, -1, -1, -1, 0, 1, 1, -1, 1] -> 
  (-28224000*li4half^2 - 357504000*li8half - 37632000*li7half*ln2 - 
    18816000*li6half*ln2^2 - 15680000*li5half*ln2^3 - 3920000*li4half*ln2^4 - 
    11200*ln2^8 + 28560000*ln2^2*s6 - 3360000*ln2*s7a - 40992000*ln2*s7b - 
    68114550*s8a - 469728000*s8b - 45696000*s8c - 38976000*s8d + 
    18816000*li5half*ln2*z2 + 18816000*li4half*ln2^2*z2 + 784000*ln2^6*z2 + 
    120288000*s6*z2 + 17136000*li4half*z2^2 + 988400*ln2^4*z2^2 - 
    3763200*ln2^2*z2^3 + 21938712*z2^4 + 68544000*li5half*z3 - 
    68208000*li4half*ln2*z3 - 3276000*ln2^5*z3 + 22764000*ln2^3*z2*z3 + 
    88737600*ln2*z2^2*z3 + 829500*ln2^2*z3^2 + 50442000*z2*z3^2 + 
    45178000*ln2^3*z5 + 249564000*ln2*z2*z5 - 15681750*z3*z5 - 
    265999125*ln2*z7)/18816000, H[-1, -1, -1, -1, 0, 1, 0, 1, 1] -> 
  (70560000*li4half^2 + 451584000*li8half + 112896000*li7half*ln2 + 
    5880000*li4half*ln2^4 + 111300*ln2^8 - 99792000*ln2^2*s6 + 
    98784000*ln2*s7a + 70560000*ln2*s7b + 40998825*s8a + 509040000*s8b + 
    2016000*s8c + 89712000*s8d + 28224000*li5half*ln2*z2 - 
    35280000*li4half*ln2^2*z2 - 1548400*ln2^6*z2 - 225288000*s6*z2 - 
    42739200*li4half*z2^2 + 5334000*ln2^4*z2^2 + 28879200*ln2^2*z2^3 - 
    43895988*z2^4 - 182952000*li5half*z3 + 123480000*li4half*ln2*z3 + 
    5846400*ln2^5*z3 - 53172000*ln2^3*z2*z3 - 139469400*ln2*z2^2*z3 + 
    90452250*ln2^2*z3^2 - 10332000*z2*z3^2 + 31605000*ln2^3*z5 - 
    236250000*ln2*z2*z5 + 76584375*z3*z5 + 511504875*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, 0, 1, 0, 0, 1] -> 
  (14112000*li4half^2 + 1176000*li4half*ln2^4 + 24500*ln2^8 - 
    10080000*ln2^2*s6 + 14112000*ln2*s7a + 14112000*ln2*s7b + 17046225*s8a + 
    172368000*s8b - 8064000*s8c + 43344000*s8d - 7056000*li4half*ln2^2*z2 - 
    294000*ln2^6*z2 - 104328000*s6*z2 - 8618400*li4half*z2^2 + 
    1228500*ln2^4*z2^2 + 16220400*ln2^2*z2^3 - 6084024*z2^4 - 
    76104000*li5half*z3 + 24696000*li4half*ln2*z3 + 1663200*ln2^5*z3 - 
    14280000*ln2^3*z2*z3 - 38001600*ln2*z2^2*z3 + 23955750*ln2^2*z3^2 - 
    6465375*z2*z3^2 - 9849000*ln2^3*z5 - 26302500*ln2*z2*z5 + 
    87255000*z3*z5 + 34342875*ln2*z7)/14112000, 
 H[-1, -1, -1, -1, 0, 1, 0, -1, 1] -> 
  (197568000*li4half^2 - 1128960000*li8half - 225792000*li7half*ln2 + 
    16464000*li4half*ln2^4 + 359800*ln2^8 + 31248000*ln2^2*s6 + 
    141120000*ln2*s7a + 197568000*ln2*s7b - 365370075*s8a - 1932840000*s8b - 
    344736000*s8c - 22176000*s8d + 56448000*li6half*z2 + 
    28224000*li5half*ln2*z2 - 98784000*li4half*ln2^2*z2 - 4429600*ln2^6*z2 + 
    241920000*s6*z2 - 165312000*li4half*z2^2 + 10810800*ln2^4*z2^2 + 
    61387200*ln2^2*z2^3 + 27772488*z2^4 + 30240000*li5half*z3 + 
    345744000*li4half*ln2*z3 + 14154000*ln2^5*z3 - 90972000*ln2^3*z2*z3 + 
    5985000*ln2*z2^2*z3 + 234801000*ln2^2*z3^2 + 308826000*z2*z3^2 - 
    63210000*ln2^3*z5 + 428274000*ln2*z2*z5 + 128008125*z3*z5 + 
    1437880500*ln2*z7)/56448000, H[-1, -1, -1, -1, 0, 1, -1, 1, 1] -> 
  (4704000*li4half^2 - 65856000*li8half - 112896000*li7half*ln2 - 
    9408000*li6half*ln2^2 + 10976000*li5half*ln2^3 + 392000*li4half*ln2^4 - 
    75600*ln2^8 + 25872000*ln2^2*s6 - 20496000*ln2*s7a + 47712000*ln2*s7b - 
    28277025*s8a - 154728000*s8b - 15456000*s8c - 12768000*s8d + 
    42336000*li6half*z2 + 156800*ln2^6*z2 + 52584000*s6*z2 - 
    6552000*li4half*z2^2 - 2948400*ln2^4*z2^2 - 9878400*ln2^2*z2^3 - 
    1305624*z2^4 + 23184000*li5half*z3 + 5880000*li4half*ln2*z3 - 
    85400*ln2^5*z3 + 462000*ln2^3*z2*z3 + 1793400*ln2*z2^2*z3 - 
    33626250*ln2^2*z3^2 + 18280500*z2*z3^2 - 75386500*ln2^3*z5 - 
    95917500*ln2*z2*z5 - 30219000*z3*z5 + 401005500*ln2*z7)/9408000, 
 H[-1, -1, -1, -1, 0, 1, -1, 0, 1] -> 
  (28224000*li4half^2 + 752640000*li8half - 784000*li4half*ln2^4 - 
    63000*ln2^8 - 29232000*ln2^2*s6 + 35616000*ln2*s7a + 35616000*ln2*s7b + 
    123231675*s8a + 1001448000*s8b + 53088000*s8c + 97440000*s8d - 
    18816000*li6half*z2 - 9408000*li5half*ln2*z2 - 
    32928000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 - 251328000*s6*z2 - 
    4972800*li4half*z2^2 - 3088400*ln2^4*z2^2 - 15640800*ln2^2*z2^3 - 
    41266752*z2^4 - 192528000*li5half*z3 + 75264000*li4half*ln2*z3 + 
    4740400*ln2^5*z3 - 36036000*ln2^3*z2*z3 - 142350600*ln2*z2^2*z3 + 
    28234500*ln2^2*z3^2 - 90016500*z2*z3^2 - 17787000*ln2^3*z5 - 
    275793000*ln2*z2*z5 + 18587625*z3*z5 + 101957625*ln2*z7)/18816000, 
 H[-1, -1, -1, -1, 0, 1, -1, -1, 1] -> 
  (42336000*li4half^2 + 959616000*li8half + 338688000*li7half*ln2 + 
    28224000*li6half*ln2^2 - 14112000*li5half*ln2^3 + 1176000*li4half*ln2^4 + 
    88900*ln2^8 - 50904000*ln2^2*s6 + 101808000*ln2*s7a - 32256000*ln2*s7b + 
    82791450*s8a + 993384000*s8b + 18144000*s8c + 87696000*s8d - 
    28224000*li4half*ln2^2*z2 - 725200*ln2^6*z2 - 228312000*s6*z2 - 
    16329600*li4half*z2^2 + 1524600*ln2^4*z2^2 - 20361600*ln2^2*z2^3 - 
    46151748*z2^4 - 175392000*li5half*z3 + 81144000*li4half*ln2*z3 + 
    4636800*ln2^5*z3 - 34902000*ln2^3*z2*z3 - 98645400*ln2*z2^2*z3 + 
    102989250*ln2^2*z3^2 - 38083500*z2*z3^2 + 128184000*ln2^3*z5 + 
    44509500*ln2*z2*z5 - 194339250*z3*z5 - 593578125*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, 0, 0, 1, 1, 1] -> 
  (-2016000*li4half^2 - 20160000*li8half - 8064000*li7half*ln2 - 
    1008000*li6half*ln2^2 - 168000*li4half*ln2^4 - 3800*ln2^8 + 
    2268000*ln2^2*s6 - 2016000*ln2*s7a - 1008000*ln2*s7b - 1932525*s8a - 
    22176000*s8b - 4032000*s8d + 4032000*li6half*z2 + 
    1008000*li5half*ln2*z2 + 1008000*li4half*ln2^2*z2 + 40600*ln2^6*z2 + 
    10584000*s6*z2 + 907200*li4half*z2^2 - 84000*ln2^4*z2^2 - 
    936000*ln2^2*z2^3 + 1759896*z2^4 + 4536000*li5half*z3 - 
    3780000*li4half*ln2*z3 - 195300*ln2^5*z3 + 1323000*ln2^3*z2*z3 + 
    3200400*ln2*z2^2*z3 - 2583000*ln2^2*z3^2 + 1260000*z2*z3^2 - 
    1218000*ln2^3*z5 + 3417750*ln2*z2*z5 - 3724875*z3*z5 - 4071375*ln2*z7)/
   1008000, H[-1, -1, -1, -1, 0, 0, 1, 0, 1] -> 
  (42336000*li4half^2 + 3528000*li4half*ln2^4 + 73500*ln2^8 - 
    4032000*ln2^2*s6 + 42336000*ln2*s7a + 42336000*ln2*s7b - 62105400*s8a - 
    200592000*s8b - 76608000*s8c + 41328000*s8d - 14112000*li6half*z2 - 
    21168000*li4half*ln2^2*z2 - 901600*ln2^6*z2 - 61488000*s6*z2 - 
    27720000*li4half*z2^2 + 1079400*ln2^4*z2^2 + 6190800*ln2^2*z2^3 - 
    27434244*z2^4 - 29736000*li5half*z3 + 74088000*li4half*ln2*z3 + 
    3334800*ln2^5*z3 - 22176000*ln2^3*z2*z3 - 6627600*ln2*z2^2*z3 + 
    56306250*ln2^2*z3^2 + 53376750*z2*z3^2 + 12201000*ln2^3*z5 + 
    95319000*ln2*z2*z5 + 69244875*z3*z5 + 398553750*ln2*z7)/14112000, 
 H[-1, -1, -1, -1, 0, 0, 1, -1, 1] -> 
  (84672000*li4half^2 + 338688000*li8half + 225792000*li7half*ln2 + 
    28224000*li6half*ln2^2 + 7056000*li4half*ln2^4 + 149800*ln2^8 - 
    19152000*ln2^2*s6 + 66528000*ln2*s7a + 38304000*ln2*s7b - 73995075*s8a - 
    230832000*s8b - 80640000*s8c + 17136000*s8d - 70560000*li5half*ln2*z2 - 
    42336000*li4half*ln2^2*z2 - 1058400*ln2^6*z2 - 2520000*s6*z2 - 
    64310400*li4half*z2^2 - 1591800*ln2^4*z2^2 - 16632000*ln2^2*z2^3 - 
    50194332*z2^4 + 8064000*li5half*z3 + 155232000*li4half*ln2*z3 + 
    6812400*ln2^5*z3 - 16968000*ln2^3*z2*z3 - 16531200*ln2*z2^2*z3 + 
    81711000*ln2^2*z3^2 + 67536000*z2*z3^2 + 56889000*ln2^3*z5 + 
    158949000*ln2*z2*z5 - 59227875*z3*z5 + 425352375*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, 0, 0, 0, 1, 1] -> 
  (3024000*ln2^2*s6 - 3024000*ln2*s7a - 2833425*s8a - 28224000*s8b - 
    6048000*s8d - 4032000*li6half*z2 - 5600*ln2^6*z2 + 17640000*s6*z2 - 
    1209600*li4half*z2^2 + 67200*ln2^4*z2^2 - 217200*ln2^2*z2^3 + 
    2005812*z2^4 + 10080000*li5half*z3 - 84000*ln2^5*z3 + 
    504000*ln2^3*z2*z3 + 3326400*ln2*z2^2*z3 - 2520000*ln2^2*z3^2 - 
    630000*z2*z3^2 - 4525500*ln2^3*z5 - 4126500*ln2*z2*z5 - 5496750*z3*z5 - 
    2315250*ln2*z7)/2016000, H[-1, -1, -1, -1, 0, 0, 0, 0, 1] -> 
  (35175*s8a + 537600*s8b + 67200*s8d - 168000*s6*z2 + 13440*li4half*z2^2 + 
    560*ln2^4*z2^2 + 21120*ln2^2*z2^3 + 39492*z2^4 - 134400*li5half*z3 + 
    1120*ln2^5*z3 - 11200*ln2^3*z2*z3 - 73920*ln2*z2^2*z3 + 
    16800*ln2^2*z3^2 + 16800*z2*z3^2 - 11200*ln2^3*z5 - 67200*ln2*z2*z5 - 
    155925*z3*z5 - 336000*ln2*z7)/67200, H[-1, -1, -1, -1, 0, 0, 0, -1, 1] -> 
  (-65520000*ln2^2*s6 + 42336000*ln2*s7a + 103242825*s8a + 802872000*s8b + 
    46368000*s8c + 108864000*s8d - 28224000*li6half*z2 - 39200*ln2^6*z2 - 
    288288000*s6*z2 + 21772800*li4half*z2^2 + 1906800*ln2^4*z2^2 + 
    36960000*ln2^2*z2^3 + 18827712*z2^4 - 238896000*li5half*z3 + 
    1990800*ln2^5*z3 - 22260000*ln2^3*z2*z3 - 120443400*ln2*z2^2*z3 + 
    53455500*ln2^2*z3^2 - 70276500*z2*z3^2 + 26901000*ln2^3*z5 - 
    166005000*ln2*z2*z5 + 184865625*z3*z5 - 345633750*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, 0, 0, -1, 1, 1] -> 
  (1241856000*li8half + 338688000*li7half*ln2 + 56448000*li6half*ln2^2 + 
    42000*ln2^8 - 178416000*ln2^2*s6 - 18144000*ln2*s7a - 4032000*ln2*s7b + 
    419537475*s8a + 2267496000*s8b + 308448000*s8c + 143136000*s8d - 
    169344000*li6half*z2 + 84672000*li5half*ln2*z2 - 1568000*ln2^6*z2 - 
    505008000*s6*z2 + 28627200*li4half*z2^2 + 6837600*ln2^4*z2^2 + 
    97171200*ln2^2*z2^3 - 41892624*z2^4 - 363888000*li5half*z3 + 
    3855600*ln2^5*z3 - 72660000*ln2^3*z2*z3 - 325596600*ln2*z2^2*z3 - 
    5638500*ln2^2*z3^2 - 350185500*z2*z3^2 - 45717000*ln2^3*z5 - 
    998613000*ln2*z2*z5 + 406310625*z3*z5 - 465081750*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 0, 0, -1, 0, 1] -> 
  (3780000*ln2^2*s6 - 8086050*s8a - 15246000*s8b - 7560000*s8c + 
    2268000*s8d + 3528000*li6half*z2 + 4900*ln2^6*z2 - 2772000*s6*z2 + 
    453600*li4half*z2^2 - 208950*ln2^4*z2^2 - 2228100*ln2^2*z2^3 - 
    1065723*z2^4 + 756000*li5half*z3 - 6300*ln2^5*z3 + 357000*ln2^3*z2*z3 + 
    4923450*ln2*z2^2*z3 + 1945125*ln2^2*z3^2 + 9032625*z2*z3^2 + 
    2646000*ln2^3*z5 + 21798000*ln2*z2*z5 - 17836875*z3*z5 + 2205000*ln2*z7)/
   3528000, H[-1, -1, -1, -1, 0, 0, -1, -1, 1] -> 
  (-564480000*li8half - 338688000*li7half*ln2 - 56448000*li6half*ln2^2 - 
    25200*ln2^8 + 7056000*ln2^2*s6 + 54432000*ln2*s7a + 40320000*ln2*s7b - 
    46608975*s8a - 36792000*s8b - 94752000*s8c + 94752000*s8d + 
    156800*ln2^6*z2 - 189504000*s6*z2 + 18950400*li4half*z2^2 - 
    974400*ln2^4*z2^2 + 4687200*ln2^2*z2^3 + 22901544*z2^4 - 
    196560000*li5half*z3 + 1638000*ln2^5*z3 - 16380000*ln2^3*z2*z3 - 
    38014200*ln2*z2^2*z3 + 77836500*ln2^2*z3^2 + 60700500*z2*z3^2 + 
    18375000*ln2^3*z5 + 166257000*ln2*z2*z5 + 228965625*z3*z5 + 
    194181750*ln2*z7)/56448000, H[-1, -1, -1, -1, 0, -1, 1, 1, 1] -> 
  (-84672000*li4half^2 + 56448000*li8half - 169344000*li7half*ln2 - 
    141120000*li6half*ln2^2 - 47040000*li5half*ln2^3 - 
    2352000*li4half*ln2^4 + 280000*ln2^8 - 99792000*ln2^2*s6 - 
    36288000*ln2*s7a - 163296000*ln2*s7b + 226270800*s8a + 785232000*s8b + 
    229824000*s8c - 88704000*s8d + 169344000*li6half*z2 + 
    141120000*li5half*ln2*z2 + 42336000*li4half*ln2^2*z2 - 313600*ln2^6*z2 + 
    99792000*s6*z2 + 58464000*li4half*z2^2 + 9139200*ln2^4*z2^2 - 
    8668800*ln2^2*z2^3 + 52444008*z2^4 - 97776000*li5half*z3 - 
    169344000*li4half*ln2*z3 - 5829600*ln2^5*z3 + 34188000*ln2^3*z2*z3 - 
    48711600*ln2*z2^2*z3 - 58936500*ln2^2*z3^2 - 155169000*z2*z3^2 + 
    149205000*ln2^3*z5 - 205821000*ln2*z2*z5 - 96878250*z3*z5 - 
    1189085625*ln2*z7)/56448000, H[-1, -1, -1, -1, 0, -1, 1, 0, 1] -> 
  (141120000*li4half^2 - 2257920000*li8half + 21168000*li4half*ln2^4 + 
    581000*ln2^8 - 56448000*ln2^2*s6 + 147168000*ln2*s7a + 
    147168000*ln2*s7b - 447750450*s8a - 2764944000*s8b - 379008000*s8c + 
    12096000*s8d - 141120000*li6half*z2 - 28224000*li5half*ln2*z2 - 
    14112000*li4half*ln2^2*z2 - 1332800*ln2^6*z2 + 88704000*s6*z2 - 
    123177600*li4half*z2^2 + 15859200*ln2^4*z2^2 + 160322400*ln2^2*z2^3 + 
    38032488*z2^4 + 229824000*li5half*z3 + 218736000*li4half*ln2*z3 + 
    7198800*ln2^5*z3 - 39060000*ln2^3*z2*z3 + 166874400*ln2*z2^2*z3 + 
    220059000*ln2^2*z3^2 + 339381000*z2*z3^2 + 37779000*ln2^3*z5 + 
    668997000*ln2*z2*z5 + 645309000*z3*z5 + 1537286625*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, 0, -1, 1, -1, 1] -> 
  (127008000*li4half^2 + 620928000*li8half + 84672000*li7half*ln2 + 
    70560000*li6half*ln2^2 + 42336000*li5half*ln2^3 + 
    10584000*li4half*ln2^4 - 35700*ln2^8 - 48384000*ln2^2*s6 + 
    51408000*ln2*s7a + 185472000*ln2*s7b + 46270350*s8a + 515592000*s8b - 
    6048000*s8c + 111888000*s8d - 70560000*li5half*ln2*z2 - 
    63504000*li4half*ln2^2*z2 - 1842400*ln2^6*z2 - 276696000*s6*z2 - 
    79228800*li4half*z2^2 - 7182000*ln2^4*z2^2 + 16329600*ln2^2*z2^3 - 
    81358884*z2^4 - 188496000*li5half*z3 + 232848000*li4half*ln2*z3 + 
    11684400*ln2^5*z3 - 73920000*ln2^3*z2*z3 - 209273400*ln2*z2^2*z3 + 
    43501500*ln2^2*z3^2 - 22585500*z2*z3^2 - 138400500*ln2^3*z5 - 
    530869500*ln2*z2*z5 + 178337250*z3*z5 + 1515299625*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, 0, -1, 0, 1, 1] -> 
  (112896000*li4half^2 + 903168000*li8half + 225792000*li7half*ln2 + 
    9408000*li4half*ln2^4 + 173600*ln2^8 + 47376000*ln2^2*s6 + 
    26208000*ln2*s7a + 153216000*ln2*s7b - 186875325*s8a - 676872000*s8b - 
    147168000*s8c - 36288000*s8d - 395136000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 56448000*li4half*ln2^2*z2 - 2116800*ln2^6*z2 + 
    227808000*s6*z2 - 97574400*li4half*z2^2 + 6694800*ln2^4*z2^2 + 
    19252800*ln2^2*z2^3 - 18353592*z2^4 + 136080000*li5half*z3 + 
    197568000*li4half*ln2*z3 + 5451600*ln2^5*z3 - 56868000*ln2^3*z2*z3 + 
    4447800*ln2*z2^2*z3 + 52573500*ln2^2*z3^2 + 91633500*z2*z3^2 - 
    177135000*ln2^3*z5 - 238329000*ln2*z2*z5 - 174297375*z3*z5 + 
    1111351500*ln2*z7)/56448000, H[-1, -1, -1, -1, 0, -1, 0, 0, 1] -> 
  (-336000*ln2^2*s6 + 3440325*s8a + 31416000*s8b + 672000*s8c + 4032000*s8d - 
    10416000*s6*z2 + 806400*li4half*z2^2 + 92400*ln2^4*z2^2 + 
    1450400*ln2^2*z2^3 + 1373632*z2^4 - 9072000*li5half*z3 + 75600*ln2^5*z3 - 
    980000*ln2^3*z2*z3 - 3834600*ln2*z2^2*z3 + 1249500*ln2^2*z3^2 - 
    934500*z2*z3^2 - 1232000*ln2^3*z5 - 5712000*ln2*z2*z5 - 406875*z3*z5 - 
    18564000*ln2*z7)/1344000, H[-1, -1, -1, -1, 0, -1, 0, -1, 1] -> 
  (-188160000*li8half - 37632000*li7half*ln2 + 2800*ln2^8 - 
    13440000*ln2^2*s6 + 14448000*ln2*s7a - 6720000*ln2*s7b + 15423450*s8a + 
    171864000*s8b - 2016000*s8c + 37296000*s8d - 23520000*li6half*z2 - 
    4704000*li5half*ln2*z2 - 19600*ln2^6*z2 - 92232000*s6*z2 + 
    7459200*li4half*z2^2 + 1045800*ln2^4*z2^2 + 18446400*ln2^2*z2^3 + 
    25672692*z2^4 - 72240000*li5half*z3 + 602000*ln2^5*z3 - 
    7588000*ln2^3*z2*z3 - 25473000*ln2*z2^2*z3 + 27751500*ln2^2*z3^2 - 
    7528500*z2*z3^2 + 17370500*ln2^3*z5 + 7633500*ln2*z2*z5 + 
    68853750*z3*z5 - 224308875*ln2*z7)/9408000, 
 H[-1, -1, -1, -1, 0, -1, -1, 1, 1] -> 
  (21168000*li4half^2 + 56448000*li8half + 211680000*li7half*ln2 + 
    35280000*li6half*ln2^2 - 7056000*li5half*ln2^3 + 2940000*li4half*ln2^4 + 
    152950*ln2^8 - 52668000*ln2^2*s6 + 29232000*ln2*s7a - 6048000*ln2*s7b - 
    9130275*s8a - 119448000*s8b - 6048000*s8c + 6048000*s8d - 
    105840000*li6half*z2 - 10584000*li4half*ln2^2*z2 - 921200*ln2^6*z2 - 
    12096000*s6*z2 - 15724800*li4half*z2^2 + 6988800*ln2^4*z2^2 + 
    44150400*ln2^2*z2^3 - 3963384*z2^4 - 3276000*li5half*z3 + 
    37044000*li4half*ln2*z3 + 1467900*ln2^5*z3 - 9534000*ln2^3*z2*z3 - 
    10092600*ln2*z2^2*z3 + 44611875*ln2^2*z3^2 + 3874500*z2*z3^2 + 
    33332250*ln2^3*z5 + 37012500*ln2*z2*z5 + 93169125*z3*z5 - 
    101445750*ln2*z7)/14112000, H[-1, -1, -1, -1, 0, -1, -1, 0, 1] -> 
  (-53424000*ln2^2*s6 + 175670775*s8a + 1545768000*s8b + 106848000*s8c + 
    104832000*s8d + 141120000*li6half*z2 + 28224000*li5half*ln2*z2 - 
    39200*ln2^6*z2 - 315504000*s6*z2 + 20966400*li4half*z2^2 - 
    8400*ln2^4*z2^2 + 40068000*ln2^2*z2^3 + 84411504*z2^4 - 
    216720000*li5half*z3 + 1806000*ln2^5*z3 - 22764000*ln2^3*z2*z3 - 
    140779800*ln2*z2^2*z3 - 913500*ln2^2*z3^2 - 121369500*z2*z3^2 - 
    42336000*ln2^3*z5 - 489888000*ln2*z2*z5 - 195575625*z3*z5 - 
    959616000*ln2*z7)/56448000, H[-1, -1, -1, -1, 0, -1, -1, -1, 1] -> 
  (-1411200*li8half - 604800*li7half*ln2 - 100800*li6half*ln2^2 - 
    6720*li5half*ln2^3 + ln2^8 + 672*ln2^4*z2^2 + 46080*ln2^2*z2^3 + 
    193536*z2^4 - 26880*ln2^3*z5 - 806400*ln2*z7)/40320, 
 H[-1, -1, -1, -1, -1, 1, 1, 1, 1] -> 
  (-2016000*li8half - 806400*li7half*ln2 + 67200*li5half*ln2^3 + 
    16800*li4half*ln2^4 + 240*ln2^8 + 201600*ln2^2*s6 - 201600*ln2*s7a - 
    211050*s8a - 2217600*s8b - 403200*s8d - 560*ln2^6*z2 + 1008000*s6*z2 - 
    80640*li4half*z2^2 - 3360*ln2^4*z2^2 - 14400*ln2^2*z2^3 + 319032*z2^4 + 
    806400*li5half*z3 - 6720*ln2^5*z3 + 67200*ln2^3*z2*z3 + 
    312480*ln2*z2^2*z3 - 252000*ln2^2*z3^2 + 201600*z2*z3^2 - 
    260400*ln2^3*z5 + 195300*ln2*z2*z5 - 967050*z3*z5 - 609525*ln2*z7)/
   403200, H[-1, -1, -1, -1, -1, 1, 1, 0, 1] -> 
  (12096000*li8half + 8870400*li7half*ln2 + 3225600*li6half*ln2^2 + 
    672000*li5half*ln2^3 + 67200*li4half*ln2^4 + 220*ln2^8 - 
    201600*ln2^2*s6 + 1209600*ln2*s7a + 395325*s8a + 8164800*s8b - 
    403200*s8c + 1209600*s8d + 806400*li6half*z2 + 403200*li5half*ln2*z2 - 
    2240*ln2^6*z2 - 2620800*s6*z2 + 241920*li4half*z2^2 + 13440*ln2^4*z2^2 + 
    18720*ln2^2*z2^3 - 1433664*z2^4 - 2520000*li5half*z3 + 21840*ln2^5*z3 - 
    268800*ln2^3*z2*z3 - 743400*ln2*z2^2*z3 + 913500*ln2^2*z3^2 - 
    195300*z2*z3^2 + 655200*ln2^3*z5 + 856800*ln2*z2*z5 - 11025*z3*z5 - 
    4375350*ln2*z7)/806400, H[-1, -1, -1, -1, -1, 1, 1, -1, 1] -> 
  (169344000*li8half + 84672000*li7half*ln2 + 14112000*li6half*ln2^2 + 
    7700*ln2^8 - 20664000*ln2^2*s6 + 27216000*ln2*s7a + 20160000*ln2*s7b - 
    67725*s8a + 95760000*s8b - 20160000*s8c + 41328000*s8d - 58800*ln2^6*z2 - 
    93240000*s6*z2 + 8265600*li4half*z2^2 + 344400*ln2^4*z2^2 + 
    2973600*ln2^2*z2^3 - 37431756*z2^4 - 82656000*li5half*z3 + 
    894600*ln2^5*z3 - 6888000*ln2^3*z2*z3 - 26535600*ln2*z2^2*z3 + 
    25830000*ln2^2*z3^2 + 7623000*z2*z3^2 + 13671000*ln2^3*z5 - 
    12631500*ln2*z2*z5 + 87105375*z3*z5 + 238210875*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, -1, 1, 0, 1, 1] -> 
  (-2016000*li4half^2 - 36288000*li8half - 24192000*li7half*ln2 - 
    10080000*li6half*ln2^2 - 3360000*li5half*ln2^3 - 1008000*li4half*ln2^4 - 
    20600*ln2^8 + 1008000*ln2^2*s6 + 4032000*ln2*s7b - 7101675*s8a - 
    48888000*s8b - 6048000*s8c - 2016000*li6half*z2 - 
    4032000*li5half*ln2*z2 - 1008000*li4half*ln2^2*z2 + 47600*ln2^6*z2 + 
    3024000*s6*z2 + 1310400*li4half*z2^2 + 126000*ln2^4*z2^2 - 
    334800*ln2^2*z2^3 - 655128*z2^4 + 2016000*li5half*z3 - 
    1008000*li4half*ln2*z3 - 155400*ln2^5*z3 - 168000*ln2^3*z2*z3 + 
    2998800*ln2*z2^2*z3 + 614250*ln2^2*z3^2 + 4614750*z2*z3^2 - 
    2037000*ln2^3*z5 + 6174000*ln2*z2*z5 + 16545375*z3*z5 + 65882250*ln2*z7)/
   4032000, H[-1, -1, -1, -1, -1, 1, 0, 0, 1] -> 
  (1008000*li4half^2 - 806400*li7half*ln2 - 403200*li6half*ln2^2 - 
    134400*li5half*ln2^3 + 50400*li4half*ln2^4 + 1070*ln2^8 - 
    403200*ln2^2*s6 + 806400*ln2*s7a + 316575*s8a + 3830400*s8b + 
    604800*s8d - 604800*li6half*z2 - 604800*li5half*ln2*z2 - 
    806400*li4half*ln2^2*z2 - 27160*ln2^6*z2 - 1411200*s6*z2 - 
    665280*li4half*z2^2 + 60480*ln2^4*z2^2 + 177840*ln2^2*z2^3 + 
    420588*z2^4 - 1360800*li5half*z3 + 1612800*li4half*ln2*z3 + 
    76020*ln2^5*z3 - 571200*ln2^3*z2*z3 - 1131480*ln2*z2^2*z3 + 
    1108800*ln2^2*z3^2 - 100800*z2*z3^2 + 655200*ln2^3*z5 + 31500*ln2*z2*z5 + 
    296100*z3*z5 - 1578150*ln2*z7)/403200, 
 H[-1, -1, -1, -1, -1, 1, 0, -1, 1] -> 
  (21168000*li4half^2 + 56448000*li8half - 28224000*li7half*ln2 - 
    21168000*li6half*ln2^2 - 7056000*li5half*ln2^3 - 350*ln2^8 - 
    14364000*ln2^2*s6 + 28728000*ln2*s7a - 3024000*ln2*s7b + 21185325*s8a + 
    250236000*s8b + 3024000*s8c + 28728000*s8d - 7056000*li6half*z2 - 
    7056000*li5half*ln2*z2 - 14112000*li4half*ln2^2*z2 - 411600*ln2^6*z2 - 
    73332000*s6*z2 - 11188800*li4half*z2^2 + 592200*ln2^4*z2^2 + 
    478800*ln2^2*z2^3 + 11341602*z2^4 - 53928000*li5half*z3 + 
    40572000*li4half*ln2*z3 + 2066400*ln2^5*z3 - 15666000*ln2^3*z2*z3 - 
    37138500*ln2*z2^2*z3 + 35705250*ln2^2*z3^2 - 9875250*z2*z3^2 + 
    29914500*ln2^3*z5 + 803250*ln2*z2*z5 - 21034125*z3*z5 - 148955625*ln2*z7)/
   14112000, H[-1, -1, -1, -1, -1, 1, -1, 1, 1] -> 
  (508032000*li8half + 338688000*li7half*ln2 + 98784000*li6half*ln2^2 + 
    14112000*li5half*ln2^3 - 34300*ln2^8 - 21672000*ln2^2*s6 + 
    43344000*ln2*s7a - 20160000*ln2*s7b + 44388225*s8a + 412272000*s8b + 
    20160000*s8c + 43344000*s8d + 176400*ln2^6*z2 - 118440000*s6*z2 + 
    8668800*li4half*z2^2 + 361200*ln2^4*z2^2 + 3276000*ln2^2*z2^3 - 
    49644324*z2^4 - 86688000*li5half*z3 + 310800*ln2^5*z3 - 
    7224000*ln2^3*z2*z3 - 37674000*ln2*z2^2*z3 + 27090000*ln2^2*z3^2 - 
    28791000*z2*z3^2 + 41013000*ln2^3*z5 + 724500*ln2*z2*z5 + 2197125*z3*z5 - 
    221342625*ln2*z7)/28224000, H[-1, -1, -1, -1, -1, 1, -1, 0, 1] -> 
  (42336000*li4half^2 - 451584000*li8half - 338688000*li7half*ln2 - 
    127008000*li6half*ln2^2 - 28224000*li5half*ln2^3 + 41300*ln2^8 - 
    27720000*ln2^2*s6 + 27216000*ln2*s7a + 20160000*ln2*s7b + 1949850*s8a + 
    7560000*s8b - 6048000*s8c + 27216000*s8d - 70560000*li6half*z2 - 
    56448000*li5half*ln2*z2 - 42336000*li4half*ln2^2*z2 - 1293600*ln2^6*z2 - 
    65016000*s6*z2 - 28425600*li4half*z2^2 + 3990000*ln2^4*z2^2 + 
    18244800*ln2^2*z2^3 + 62487756*z2^4 - 40320000*li5half*z3 + 
    84672000*li4half*ln2*z3 + 3628800*ln2^5*z3 - 28644000*ln2^3*z2*z3 - 
    50614200*ln2*z2^2*z3 + 48541500*ln2^2*z3^2 - 1417500*z2*z3^2 + 
    8967000*ln2^3*z5 - 40855500*ln2*z2*z5 + 110202750*z3*z5 + 
    153538875*ln2*z7)/28224000, H[-1, -1, -1, -1, -1, 1, -1, -1, 1] -> 
  (-2116800*li8half - 1512000*li7half*ln2 - 504000*li6half*ln2^2 - 
    100800*li5half*ln2^3 - 12600*li4half*ln2^4 - 140*ln2^8 + 420*ln2^6*z2 + 
    11520*ln2^2*z2^3 + 290304*z2^4 - 735*ln2^5*z3 - 604800*ln2*z7)/100800, 
 H[-1, -1, -1, -1, -1, 0, 1, 1, 1] -> 
  (201600*li4half^2 + 2016000*li8half + 1209600*li7half*ln2 + 
    201600*li6half*ln2^2 + 16800*li4half*ln2^4 + 440*ln2^8 - 
    201600*ln2^2*s6 + 201600*ln2*s7a + 211050*s8a + 2217600*s8b + 
    403200*s8d - 604800*li6half*z2 - 201600*li5half*ln2*z2 - 
    100800*li4half*ln2^2*z2 - 3920*ln2^6*z2 - 1108800*s6*z2 - 
    100800*li4half*z2^2 + 6300*ln2^4*z2^2 + 118080*ln2^2*z2^3 - 157752*z2^4 - 
    352800*li5half*z3 + 403200*li4half*ln2*z3 + 23100*ln2^5*z3 - 
    130200*ln2^3*z2*z3 - 292320*ln2*z2^2*z3 + 329175*ln2^2*z3^2 - 
    151200*z2*z3^2 + 207900*ln2^3*z5 + 6300*ln2*z2*z5 + 464625*z3*z5 - 
    549675*ln2*z7)/403200, H[-1, -1, -1, -1, -1, 0, 1, 0, 1] -> 
  (-6048000*li4half^2 + 16128000*li8half - 504000*li4half*ln2^4 - 
    10100*ln2^8 + 2016000*ln2^2*s6 - 6048000*ln2*s7a - 6048000*ln2*s7b + 
    6334650*s8a + 24192000*s8b + 8064000*s8c - 4032000*s8d + 
    2016000*li6half*z2 + 3024000*li4half*ln2^2*z2 + 117600*ln2^6*z2 + 
    6048000*s6*z2 + 4334400*li4half*z2^2 - 453600*ln2^4*z2^2 - 
    3019200*ln2^2*z2^3 + 828504*z2^4 + 4536000*li5half*z3 - 
    10584000*li4half*ln2*z3 - 428400*ln2^5*z3 + 3528000*ln2^3*z2*z3 + 
    3175200*ln2*z2^2*z3 - 7890750*ln2^2*z3^2 - 5402250*z2*z3^2 + 
    861000*ln2^3*z5 - 4725000*ln2*z2*z5 - 11844000*z3*z5 - 41540625*ln2*z7)/
   4032000, H[-1, -1, -1, -1, -1, 0, 1, -1, 1] -> 
  (-28224000*li4half^2 - 338688000*li8half - 56448000*li7half*ln2 - 
    9408000*li6half*ln2^2 + 784000*li4half*ln2^4 + 71400*ln2^8 + 
    11424000*ln2^2*s6 - 32928000*ln2*s7a - 23520000*ln2*s7b - 28247100*s8a - 
    333648000*s8b - 4032000*s8c - 38304000*s8d + 9408000*li5half*ln2*z2 + 
    14112000*li4half*ln2^2*z2 + 156800*ln2^6*z2 + 97776000*s6*z2 + 
    14918400*li4half*z2^2 + 2542400*ln2^4*z2^2 + 7980000*ln2^2*z2^3 + 
    23154984*z2^4 + 71904000*li5half*z3 - 51744000*li4half*ln2*z3 - 
    2637600*ln2^5*z3 + 18928000*ln2^3*z2*z3 + 55734000*ln2*z2^2*z3 - 
    24570000*ln2^2*z3^2 + 13167000*z2*z3^2 - 5145000*ln2^3*z5 + 
    80892000*ln2*z2*z5 + 28045500*z3*z5 - 126769125*ln2*z7)/18816000, 
 H[-1, -1, -1, -1, -1, 0, 0, 1, 1] -> 
  (-2016000*li4half^2 - 20160000*li8half - 4032000*li7half*ln2 - 
    168000*li4half*ln2^4 - 3200*ln2^8 + 1008000*ln2^2*s6 - 1008000*ln2*s7a - 
    2016000*ln2*s7b - 604800*s8a - 8064000*s8b - 1008000*s8d + 
    4032000*li6half*z2 + 1008000*li4half*ln2^2*z2 + 44800*ln2^6*z2 + 
    2016000*s6*z2 + 1411200*li4half*z2^2 - 100800*ln2^4*z2^2 - 
    502800*ln2^2*z2^3 + 1147392*z2^4 + 1512000*li5half*z3 - 
    3528000*li4half*ln2*z3 - 142800*ln2^5*z3 + 1344000*ln2^3*z2*z3 + 
    2620800*ln2*z2^2*z3 - 1244250*ln2^2*z3^2 + 882000*z2*z3^2 + 
    1459500*ln2^3*z5 + 7969500*ln2*z2*z5 - 811125*z3*z5 - 15112125*ln2*z7)/
   2016000, H[-1, -1, -1, -1, -1, 0, 0, 0, 1] -> 
  (-105525*s8a - 1276800*s8b - 201600*s8d + 504000*s6*z2 - 
    40320*li4half*z2^2 - 3640*ln2^4*z2^2 - 58560*ln2^2*z2^3 - 37284*z2^4 + 
    403200*li5half*z3 - 3360*ln2^5*z3 + 44800*ln2^3*z2*z3 + 
    154560*ln2*z2^2*z3 - 67200*ln2^2*z3^2 + 16800*z2*z3^2 + 44800*ln2^3*z5 + 
    134400*ln2*z2*z5 - 32025*z3*z5 + 672000*ln2*z7)/134400, 
 H[-1, -1, -1, -1, -1, 0, 0, -1, 1] -> 
  (225792000*li8half + 56448000*li7half*ln2 - 5600*ln2^8 + 4032000*ln2^2*s6 - 
    14112000*ln2*s7a + 67725*s8a - 95760000*s8b + 20160000*s8c - 
    41328000*s8d + 14112000*li6half*z2 + 98000*ln2^6*z2 + 93240000*s6*z2 - 
    8265600*li4half*z2^2 - 785400*ln2^4*z2^2 - 17052000*ln2^2*z2^3 - 
    19983924*z2^4 + 82656000*li5half*z3 - 924000*ln2^5*z3 + 
    9240000*ln2^3*z2*z3 + 22150800*ln2*z2^2*z3 - 34587000*ln2^2*z3^2 - 
    7623000*z2*z3^2 - 11319000*ln2^3*z5 - 46809000*ln2*z2*z5 - 
    87105375*z3*z5 + 154680750*ln2*z7)/28224000, 
 H[-1, -1, -1, -1, -1, 0, -1, 1, 1] -> 
  (-84672000*li4half^2 - 338688000*li8half - 338688000*li7half*ln2 - 
    28224000*li6half*ln2^2 - 16464000*li4half*ln2^4 - 519400*ln2^8 + 
    135072000*ln2^2*s6 - 70560000*ln2*s7a - 70560000*ln2*s7b - 3899700*s8a - 
    15120000*s8b + 12096000*s8c - 54432000*s8d + 169344000*li6half*z2 + 
    42336000*li4half*ln2^2*z2 + 3057600*ln2^6*z2 + 130032000*s6*z2 + 
    56851200*li4half*z2^2 - 15506400*ln2^4*z2^2 - 88552800*ln2^2*z2^3 + 
    38884968*z2^4 + 80640000*li5half*z3 - 148176000*li4half*ln2*z3 - 
    6493200*ln2^5*z3 + 43764000*ln2^3*z2*z3 + 99514800*ln2*z2^2*z3 - 
    94752000*ln2^2*z3^2 + 2835000*z2*z3^2 + 11907000*ln2^3*z5 + 
    170982000*ln2*z2*z5 - 220405500*z3*z5 - 463876875*ln2*z7)/56448000, 
 H[-1, -1, -1, -1, -1, 0, -1, 0, 1] -> 
  (112896000*li8half + 2800*ln2^8 + 10080000*ln2^2*s6 - 44388225*s8a - 
    412272000*s8b - 20160000*s8c - 43344000*s8d - 14112000*li6half*z2 - 
    98000*ln2^6*z2 + 118440000*s6*z2 - 8668800*li4half*z2^2 - 
    1684200*ln2^4*z2^2 - 26292000*ln2^2*z2^3 - 32285916*z2^4 + 
    86688000*li5half*z3 - 252000*ln2^5*z3 + 11928000*ln2^3*z2*z3 + 
    44881200*ln2*z2^2*z3 - 11277000*ln2^2*z3^2 + 28791000*z2*z3^2 + 
    25872000*ln2^3*z5 + 116928000*ln2*z2*z5 - 2197125*z3*z5 + 
    310464000*ln2*z7)/28224000, H[-1, -1, -1, -1, -1, 0, -1, -1, 1] -> 
  (4233600*li8half + 1209600*li7half*ln2 + 100800*li6half*ln2^2 + 5*ln2^8 - 
    10080*ln2^4*z2^2 - 230400*ln2^2*z2^3 - 580608*z2^4 + 1680*ln2^5*z3 + 
    201600*ln2^3*z5 + 3024000*ln2*z7)/201600, 
 H[-1, -1, -1, -1, -1, -1, 1, 1, 1] -> 
  (-1612800*li8half - 1209600*li7half*ln2 - 403200*li6half*ln2^2 - 
    67200*li5half*ln2^3 + 210*ln2^8 + 100800*ln2^2*s6 - 201600*ln2*s7a - 
    105525*s8a - 1209600*s8b - 201600*s8d - 1120*ln2^6*z2 + 504000*s6*z2 - 
    40320*li4half*z2^2 - 1680*ln2^4*z2^2 - 30240*ln2^2*z2^3 + 207324*z2^4 + 
    403200*li5half*z3 - 420*ln2^5*z3 + 33600*ln2^3*z2*z3 + 
    151200*ln2*z2^2*z3 - 126000*ln2^2*z3^2 + 50400*z2*z3^2 - 
    130200*ln2^3*z5 - 6300*ln2*z2*z5 - 212625*z3*z5 + 193725*ln2*z7)/403200, 
 H[-1, -1, -1, -1, -1, -1, 1, 0, 1] -> 
  (-67200*li4half^2 + 268800*li8half + 403200*li7half*ln2 + 
    201600*li6half*ln2^2 + 67200*li5half*ln2^3 + 11200*li4half*ln2^4 + 
    230*ln2^8 + 33600*ln2^2*s6 - 67200*ln2*s7a - 35175*s8a - 403200*s8b - 
    67200*s8d + 67200*li6half*z2 + 67200*li5half*ln2*z2 + 
    67200*li4half*ln2^2*z2 + 1120*ln2^6*z2 + 168000*s6*z2 + 
    40320*li4half*z2^2 - 4480*ln2^4*z2^2 - 8160*ln2^2*z2^3 - 67596*z2^4 + 
    117600*li5half*z3 - 134400*li4half*ln2*z3 - 4760*ln2^5*z3 + 
    53200*ln2^3*z2*z3 + 97440*ln2*z2^2*z3 - 100800*ln2^2*z3^2 + 
    16800*z2*z3^2 - 65800*ln2^3*z5 - 2100*ln2*z2*z5 - 54075*z3*z5 + 
    64575*ln2*z7)/134400, H[-1, -1, -1, -1, -1, -1, 1, -1, 1] -> 
  (50400*li8half + 43200*li7half*ln2 + 18000*li6half*ln2^2 + 
    4800*li5half*ln2^3 + 900*li4half*ln2^4 + 15*ln2^8 - 55*ln2^6*z2 - 
    6912*z2^4 + 105*ln2^5*z3 + 7200*ln2*z7)/7200, 
 H[-1, -1, -1, -1, -1, -1, 0, 1, 1] -> 
  (403200*li4half^2 + 3225600*li8half + 806400*li7half*ln2 + 
    33600*li4half*ln2^4 + 620*ln2^8 - 403200*ln2^2*s6 + 403200*ln2*s7a + 
    403200*ln2*s7b + 211050*s8a + 2419200*s8b + 403200*s8d - 
    403200*li6half*z2 - 201600*li4half*ln2^2*z2 - 6720*ln2^6*z2 - 
    1008000*s6*z2 - 241920*li4half*z2^2 + 26040*ln2^4*z2^2 + 
    142560*ln2^2*z2^3 - 257976*z2^4 - 705600*li5half*z3 + 
    705600*li4half*ln2*z3 + 25200*ln2^5*z3 - 235200*ln2^3*z2*z3 - 
    645120*ln2*z2^2*z3 + 349650*ln2^2*z3^2 - 100800*z2*z3^2 - 
    113400*ln2^3*z5 - 1184400*ln2*z2*z5 + 324450*z3*z5 + 2650725*ln2*z7)/
   806400, H[-1, -1, -1, -1, -1, -1, 0, 0, 1] -> 
  (-806400*li8half - 20*ln2^8 + 105525*s8a + 1209600*s8b + 201600*s8d + 
    560*ln2^6*z2 - 504000*s6*z2 + 40320*li4half*z2^2 + 14280*ln2^4*z2^2 + 
    139680*ln2^2*z2^3 + 124452*z2^4 - 403200*li5half*z3 - 67200*ln2^3*z2*z3 - 
    161280*ln2*z2^2*z3 + 100800*ln2^2*z3^2 - 50400*z2*z3^2 - 
    134400*ln2^3*z5 - 201600*ln2*z2*z5 + 212625*z3*z5 - 1209600*ln2*z7)/
   403200, H[-1, -1, -1, -1, -1, -1, 0, -1, 1] -> 
  (-1411200*li8half - 201600*li7half*ln2 + 5*ln2^8 + 280*ln2^6*z2 + 
    10080*ln2^4*z2^2 + 115200*ln2^2*z2^3 + 193536*z2^4 - 3360*ln2^5*z3 - 
    134400*ln2^3*z5 - 1209600*ln2*z7)/201600, 
 H[-1, -1, -1, -1, -1, -1, -1, 1, 1] -> 
  (-100800*li8half - 100800*li7half*ln2 - 50400*li6half*ln2^2 - 
    16800*li5half*ln2^3 - 4200*li4half*ln2^4 - 90*ln2^8 + 350*ln2^6*z2 + 
    13824*z2^4 - 735*ln2^5*z3)/100800, H[-1, -1, -1, -1, -1, -1, -1, 0, 1] -> 
  (201600*li8half + 5*ln2^8 - 280*ln2^6*z2 - 3360*ln2^4*z2^2 - 
    23040*ln2^2*z2^3 - 27648*z2^4 + 1680*ln2^5*z3 + 33600*ln2^3*z5 + 
    201600*ln2*z7)/201600, H[-1, -1, -1, -1, -1, -1, -1, -1, 1] -> 
  ln2^8/40320, S[-1, -1, Infinity] -> S[-1, Infinity]^2/2 + S[2, Infinity]/2, 
 S[1, -1, Infinity] -> -S[-1, Infinity]^2/2 + S[-1, Infinity]*S[1, Infinity], 
 S[-1, 1, Infinity] -> S[-1, Infinity]^2/2 - S[2, Infinity]/2, 
 S[1, 1, Infinity] -> S[1, Infinity]^2/2 + S[2, Infinity]/2, 
 S[-2, Infinity] -> -S[2, Infinity]/2, S[-1, -1, -1, Infinity] -> 
  S[-1, Infinity]^3/6 + (S[-1, Infinity]*S[2, Infinity])/2 - 
   S[3, Infinity]/4, S[1, 1, -1, Infinity] -> S[-1, Infinity]^3/6 - 
   (S[-1, Infinity]^2*S[1, Infinity])/2 + (S[-1, Infinity]*S[1, Infinity]^2)/
    2 + (S[-1, Infinity]*S[2, Infinity])/2, S[-1, 1, -1, Infinity] -> 
  S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[2, Infinity])/2 + 
   S[3, Infinity]/8, S[1, 1, 1, Infinity] -> S[1, Infinity]^3/6 + 
   (S[1, Infinity]*S[2, Infinity])/2 + S[3, Infinity]/3, 
 S[-1, -1, 1, Infinity] -> S[-1, Infinity]^3/6 + 
   (S[-1, Infinity]*S[2, Infinity])/2 + (7*S[3, Infinity])/4, 
 S[1, -1, -1, Infinity] -> -S[-1, Infinity]^3/3 + 
   (S[-1, Infinity]^2*S[1, Infinity])/2 - (S[-1, Infinity]*S[2, Infinity])/
    2 + (S[1, Infinity]*S[2, Infinity])/2 - (7*S[3, Infinity])/8, 
 S[-1, 1, 1, Infinity] -> S[-1, Infinity]^3/6 - 
   (S[-1, Infinity]*S[2, Infinity])/2 - (7*S[3, Infinity])/8, 
 S[1, -1, 1, Infinity] -> -S[-1, Infinity]^3/3 + 
   (S[-1, Infinity]^2*S[1, Infinity])/2 + (S[-1, Infinity]*S[2, Infinity])/
    2 - (S[1, Infinity]*S[2, Infinity])/2 + S[3, Infinity]/8, 
 S[-2, -1, Infinity] -> (-3*S[-1, Infinity]*S[2, Infinity])/2 - 
   (5*S[3, Infinity])/8, S[2, -1, Infinity] -> 
  (3*S[-1, Infinity]*S[2, Infinity])/2 + S[3, Infinity]/4, 
 S[-1, -2, Infinity] -> S[-1, Infinity]*S[2, Infinity] + 
   (13*S[3, Infinity])/8, S[2, 1, Infinity] -> 2*S[3, Infinity], 
 S[-2, 1, Infinity] -> (-5*S[3, Infinity])/8, 
 S[1, -2, Infinity] -> -(S[1, Infinity]*S[2, Infinity])/2 - S[3, Infinity]/8, 
 S[-1, 2, Infinity] -> -(S[-1, Infinity]*S[2, Infinity])/2 - S[3, Infinity], 
 S[1, 2, Infinity] -> S[1, Infinity]*S[2, Infinity] - S[3, Infinity], 
 S[-3, Infinity] -> (-3*S[3, Infinity])/4, S[-1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^4/24 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (9*S[2, Infinity]^2)/40 - (S[-1, Infinity]*S[3, Infinity])/4, 
 S[1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^4/8 + 
   (S[-1, Infinity]^3*S[1, Infinity])/6 + (S[-1, Infinity]^2*S[2, Infinity])/
    2 - (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 - 
   S[2, Infinity]^2/20 + (S[1, Infinity]*S[3, Infinity])/8, 
 S[-1, -1, 1, -1, Infinity] -> S[-1, Infinity]^4/6 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (6*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8 - 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^3*S[1, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[1, Infinity]^3)/6 - (S[-1, Infinity]^2*S[2, Infinity])/
    4 + (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (S[-1, Infinity]*S[3, Infinity])/3, S[-1, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^4/24 + (S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (19*S[2, Infinity]^2)/40 - (S[-1, Infinity]*S[3, Infinity])/4, 
 S[1, 1, -1, -1, Infinity] -> S[-1, Infinity]^4/6 - 
   (S[-1, Infinity]^3*S[1, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2)/4 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (S[1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/4 - 
   (7*S[1, Infinity]*S[3, Infinity])/8 - S[-1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, Infinity] -> (2*S[2, Infinity]^2)/5 + 
   S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, Infinity] -> 
  S[1, Infinity]^4/24 + (S[1, Infinity]^2*S[2, Infinity])/4 + 
   (9*S[2, Infinity]^2)/40 + (S[1, Infinity]*S[3, Infinity])/3, 
 S[-1, 1, -1, -1, Infinity] -> S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - S[2, Infinity]^2/8 + 
   (S[-1, Infinity]*S[3, Infinity])/8, S[1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^4/8 + (S[-1, Infinity]^3*S[1, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + S[2, Infinity]^2/20 + 
   S[-1, Infinity]*S[3, Infinity] - (7*S[1, Infinity]*S[3, Infinity])/8, 
 S[1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^4/4 + 
   (S[-1, Infinity]^3*S[1, Infinity])/6 + (S[-1, Infinity]^2*S[2, Infinity])/
    4 + (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (6*S[2, Infinity]^2)/5 + 2*S[-1, Infinity]*S[3, Infinity] - 
   (S[1, Infinity]*S[3, Infinity])/4 + 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, Infinity] -> S[-1, Infinity]^4/6 - 
   (S[-1, Infinity]^3*S[1, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2)/4 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 - 
   (S[1, Infinity]^2*S[2, Infinity])/4 - (13*S[2, Infinity]^2)/20 - 
   S[-1, Infinity]*S[3, Infinity] + (S[1, Infinity]*S[3, Infinity])/8 - 
   S[-1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8 - 3*S[-1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 1, Infinity] -> S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + (3*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]*S[3, Infinity])/8, S[1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^4/4 + (S[-1, Infinity]^3*S[1, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (7*S[1, Infinity]*S[3, Infinity])/4 + 3*S[-1, 1, 1, 1, Infinity], 
 S[-2, -1, -1, Infinity] -> -S[-1, Infinity]^4/6 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (7*S[2, Infinity]^2)/5 + 
   (21*S[-1, Infinity]*S[3, Infinity])/8 + 4*S[-1, 1, 1, 1, Infinity], 
 S[1, 2, -1, Infinity] -> -S[-1, Infinity]^4/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (6*S[2, Infinity]^2)/5 + (7*S[-1, Infinity]*S[3, Infinity])/4 + 
   (S[1, Infinity]*S[3, Infinity])/4 + 3*S[-1, 1, 1, 1, Infinity], 
 S[-2, 1, -1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (3*S[2, Infinity]^2)/40, S[2, 1, -1, Infinity] -> 
  S[-1, Infinity]^4/8 - (3*S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (6*S[2, Infinity]^2)/5 - (7*S[-1, Infinity]*S[3, Infinity])/8 - 
   3*S[-1, 1, 1, 1, Infinity], S[-2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^4/8 + (39*S[2, Infinity]^2)/40 + 
   3*S[-1, 1, 1, 1, Infinity], S[2, -1, -1, Infinity] -> 
  S[-1, Infinity]^4/24 + (5*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/40 - S[-1, 1, 1, 1, Infinity], 
 S[-1, 2, -1, Infinity] -> -S[-1, Infinity]^4/6 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (5*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[3, Infinity])/4 + 4*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, Infinity] -> (6*S[2, Infinity]^2)/5, 
 S[-1, -1, -2, Infinity] -> -(S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (3*S[2, Infinity]^2)/5 - S[-1, Infinity]*S[3, Infinity], 
 S[1, 2, 1, Infinity] -> (-6*S[2, Infinity]^2)/5 + 
   2*S[1, Infinity]*S[3, Infinity], S[1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^4/8 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[-1, Infinity]*S[1, Infinity]*S[2, Infinity] + (11*S[2, Infinity]^2)/20 + 
   (13*S[1, Infinity]*S[3, Infinity])/8 + 3*S[-1, 1, 1, 1, Infinity], 
 S[2, -1, 1, Infinity] -> S[-1, Infinity]^4/6 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - 2*S[2, Infinity]^2 - 
   (21*S[-1, Infinity]*S[3, Infinity])/8 - 4*S[-1, 1, 1, 1, Infinity], 
 S[-1, -2, -1, Infinity] -> S[-1, Infinity]^4/6 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (7*S[2, Infinity]^2)/5 - 
   (5*S[-1, Infinity]*S[3, Infinity])/8 - 4*S[-1, 1, 1, 1, Infinity], 
 S[1, -2, -1, Infinity] -> S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 - S[2, Infinity]^2/8 - 
   (5*S[1, Infinity]*S[3, Infinity])/8 - S[-1, 1, 1, 1, Infinity], 
 S[-1, 1, -2, Infinity] -> S[-1, Infinity]^4/12 - S[2, Infinity]^2/5 - 
   (S[-1, Infinity]*S[3, Infinity])/8 - 2*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, -2, Infinity] -> S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (S[1, Infinity]^2*S[2, Infinity])/
    4 - (13*S[2, Infinity]^2)/20 - (7*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[3, Infinity])/8 - S[-1, 1, 1, 1, Infinity], 
 S[-2, 1, 1, Infinity] -> -S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/8 + 
   (7*S[-1, Infinity]*S[3, Infinity])/8 + S[-1, 1, 1, 1, Infinity], 
 S[-1, 2, 1, Infinity] -> -S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - S[2, Infinity]^2/40 + 
   (S[-1, Infinity]*S[3, Infinity])/4 + S[-1, 1, 1, 1, Infinity], 
 S[-1, -1, 2, Infinity] -> S[-1, Infinity]^4/8 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (3*S[2, Infinity]^2)/8 - 
   S[-1, Infinity]*S[3, Infinity] - 3*S[-1, 1, 1, 1, Infinity], 
 S[1, -1, 2, Infinity] -> -S[-1, Infinity]^4/12 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (7*S[2, Infinity]^2)/8 + (21*S[-1, Infinity]*S[3, Infinity])/8 - 
   S[1, Infinity]*S[3, Infinity] + 2*S[-1, 1, 1, 1, Infinity], 
 S[-1, -2, 1, Infinity] -> S[-1, Infinity]^4/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (9*S[2, Infinity]^2)/40 - 
   (5*S[-1, Infinity]*S[3, Infinity])/8 - 3*S[-1, 1, 1, 1, Infinity], 
 S[1, -2, 1, Infinity] -> (-3*S[2, Infinity]^2)/40 - 
   (5*S[1, Infinity]*S[3, Infinity])/8, S[-1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^4/24 - S[2, Infinity]^2/20 - 
   (S[-1, Infinity]*S[3, Infinity])/8 + S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, Infinity] -> (S[1, Infinity]^2*S[2, Infinity])/2 + 
   (9*S[2, Infinity]^2)/10 - S[1, Infinity]*S[3, Infinity], 
 S[-3, -1, Infinity] -> -S[-1, Infinity]^4/12 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (3*S[2, Infinity]^2)/5 + 
   2*S[-1, 1, 1, 1, Infinity], S[1, -3, Infinity] -> 
  -S[-1, Infinity]^4/12 + (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (3*S[2, Infinity]^2)/4 + (7*S[-1, Infinity]*S[3, Infinity])/4 - 
   (3*S[1, Infinity]*S[3, Infinity])/4 + 2*S[-1, 1, 1, 1, Infinity], 
 S[-2, -2, Infinity] -> (13*S[2, Infinity]^2)/40, 
 S[3, -1, Infinity] -> S[2, Infinity]^2/8 + 
   (7*S[-1, Infinity]*S[3, Infinity])/4, S[-3, 1, Infinity] -> 
  S[-1, Infinity]^4/12 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (11*S[2, Infinity]^2)/10 - (7*S[-1, Infinity]*S[3, Infinity])/4 - 
   2*S[-1, 1, 1, 1, Infinity], S[2, -2, Infinity] -> 
  S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] - 
   (17*S[2, Infinity]^2)/8 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   4*S[-1, 1, 1, 1, Infinity], S[-1, -3, Infinity] -> 
  S[-1, Infinity]^4/12 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   S[2, Infinity]^2/5 - (3*S[-1, Infinity]*S[3, Infinity])/4 - 
   2*S[-1, 1, 1, 1, Infinity], S[3, 1, Infinity] -> S[2, Infinity]^2/2, 
 S[-2, 2, Infinity] -> -S[-1, Infinity]^4/6 + 
   S[-1, Infinity]^2*S[2, Infinity] + (51*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 4*S[-1, 1, 1, 1, Infinity], 
 S[1, 3, Infinity] -> -S[2, Infinity]^2/10 + S[1, Infinity]*S[3, Infinity], 
 S[-1, 3, Infinity] -> (-19*S[2, Infinity]^2)/40 - 
   (3*S[-1, Infinity]*S[3, Infinity])/4, S[2, 2, Infinity] -> 
  (7*S[2, Infinity]^2)/10, S[-4, Infinity] -> (-7*S[2, Infinity]^2)/20, 
 S[4, Infinity] -> (2*S[2, Infinity]^2)/5, S[-1, -1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]^2*S[3, Infinity])/8 - (S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[5, Infinity])/16, S[1, 1, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^5/120 - (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^3)/12 + 
   (S[-1, Infinity]*S[1, Infinity]^4)/24 + (S[-1, Infinity]^3*S[2, Infinity])/
    12 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]^2*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/3, 
 S[-1, 1, 1, 1, -1, Infinity] -> S[5, Infinity] + 
   S[-1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 1, 1, Infinity] -> 
  S[1, Infinity]^5/120 + (S[1, Infinity]^3*S[2, Infinity])/12 + 
   (9*S[1, Infinity]*S[2, Infinity]^2)/40 + (S[1, Infinity]^2*S[3, Infinity])/
    6 + (S[2, Infinity]*S[3, Infinity])/6 + S[5, Infinity]/5, 
 S[-1, -1, 1, 1, -1, Infinity] -> -4*S[5, Infinity] + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^5/40 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (7*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (2*S[1, Infinity]*S[2, Infinity]^2)/5 + (S[-1, Infinity]^2*S[3, Infinity])/
    2 + (S[2, Infinity]*S[3, Infinity])/2 - (63*S[5, Infinity])/32 + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, -1, Infinity] -> (13*S[-1, Infinity]^5)/120 - 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (23*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (23*S[2, Infinity]*S[3, Infinity])/16 + (375*S[5, Infinity])/64 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^5/12 + (S[-1, Infinity]^4*S[1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (6*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 6*S[5, Infinity] - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^5/120 - 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^2*S[3, Infinity])/16 - (S[2, Infinity]*S[3, Infinity])/
    16 + (3*S[5, Infinity])/64, S[1, 1, -1, 1, -1, Infinity] -> 
  (7*S[-1, Infinity]^5)/120 - (S[-1, Infinity]^4*S[1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/5 - (S[1, Infinity]*S[2, Infinity]^2)/
    20 - (S[-1, Infinity]^2*S[3, Infinity])/2 + 
   (S[1, Infinity]^2*S[3, Infinity])/16 - (7*S[2, Infinity]*S[3, Infinity])/
    16 + S[5, Infinity]/32 - S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, 1, Infinity] -> S[-1, Infinity]^5/120 + 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]^2*S[3, Infinity])/8 - (S[2, Infinity]*S[3, Infinity])/8 + 
   (29*S[5, Infinity])/16, S[1, -1, -1, -1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^5)/120 + (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (39*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (9*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (9*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 + 
   S[2, Infinity]*S[3, Infinity] + (23*S[5, Infinity])/64 + 
   3*S[-1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^5)/120 + (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (11*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (13*S[2, Infinity]*S[3, Infinity])/8 - (369*S[5, Infinity])/64 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^5/12 - (S[-1, Infinity]^4*S[1, Infinity])/4 + 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (6*S[1, Infinity]*S[2, Infinity]^2)/5 - S[-1, Infinity]^2*S[3, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] - 
   (S[1, Infinity]^2*S[3, Infinity])/8 - (S[2, Infinity]*S[3, Infinity])/8 - 
   4*S[5, Infinity] + 3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[2, Infinity]*S[3, Infinity])/16 - (81*S[5, Infinity])/64 - 
   3*S[-1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]*S[2, Infinity]^2)/8 - (S[-1, Infinity]^2*S[3, Infinity])/
    16 + (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (3*S[5, Infinity])/64, S[-1, 1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 + (27*S[5, Infinity])/32 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^5/24 + 
   (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^3)/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (S[1, Infinity]^3*S[2, Infinity])/12 - (S[-1, Infinity]*S[2, Infinity]^2)/
    4 + (S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]^2*S[3, Infinity])/6 - (7*S[1, Infinity]^2*S[3, Infinity])/
    16 - (13*S[2, Infinity]*S[3, Infinity])/48 - 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, 1, Infinity] -> (13*S[-1, Infinity]^5)/120 - 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (23*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (9*S[2, Infinity]*S[3, Infinity])/16 + (23*S[5, Infinity])/64 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^5/40 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + (S[-1, Infinity]*S[2, Infinity]^2)/
    20 + (S[-1, Infinity]^2*S[3, Infinity])/2 - 
   (S[2, Infinity]*S[3, Infinity])/2 + S[5, Infinity]/32 + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, 1, Infinity] -> S[-1, Infinity]^5/30 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (9*S[2, Infinity]*S[3, Infinity])/16 - (369*S[5, Infinity])/64 - 
   3*S[-1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^5/12 + (S[-1, Infinity]^4*S[1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^5/120 - 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^2*S[3, Infinity])/16 + (15*S[2, Infinity]*S[3, Infinity])/
    16 - (29*S[5, Infinity])/64, S[1, 1, -1, 1, 1, Infinity] -> 
  (7*S[-1, Infinity]^5)/120 - (S[-1, Infinity]^4*S[1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
   (S[1, Infinity]*S[2, Infinity]^2)/20 - S[-1, Infinity]^2*S[3, Infinity] + 
   S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] - 
   (7*S[1, Infinity]^2*S[3, Infinity])/16 + (S[2, Infinity]*S[3, Infinity])/
    16 - (63*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, 1, Infinity] -> (-11*S[-1, Infinity]^5)/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (11*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (11*S[2, Infinity]*S[3, Infinity])/8 - (81*S[5, Infinity])/64 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -1, 1, Infinity] -> 
  (-7*S[-1, Infinity]^5)/120 + (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (67*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (19*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (9*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   S[2, Infinity]*S[3, Infinity] + (375*S[5, Infinity])/64 + 
   3*S[-1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (9*S[2, Infinity]*S[3, Infinity])/16 + (123*S[5, Infinity])/32 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, 1, Infinity] -> S[-1, Infinity]^5/12 - 
   (S[-1, Infinity]^4*S[1, Infinity])/4 + 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/4 + (7*S[1, Infinity]^2*S[3, Infinity])/
    8 + (7*S[2, Infinity]*S[3, Infinity])/8 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^4*S[1, Infinity])/24 + (S[-1, Infinity]^3*S[2, Infinity])/
    4 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (3*S[1, Infinity]*S[2, Infinity]^2)/8 - (S[-1, Infinity]^2*S[3, Infinity])/
    16 + (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (29*S[5, Infinity])/64, S[1, 1, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^5/24 + (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^3)/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (S[1, Infinity]^3*S[2, Infinity])/12 + 
   (13*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (13*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (2*S[-1, Infinity]^2*S[3, Infinity])/3 - S[-1, Infinity]*S[1, Infinity]*
    S[3, Infinity] + (S[1, Infinity]^2*S[3, Infinity])/16 - 
   (5*S[2, Infinity]*S[3, Infinity])/48 + S[5, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, -1, -1, Infinity] -> -S[-1, Infinity]^5/24 - 
   (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (27*S[2, Infinity]*S[3, Infinity])/16 + (101*S[5, Infinity])/64 + 
   5*S[-1, 1, 1, 1, 1, Infinity], S[2, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (12*S[-1, Infinity]*S[2, Infinity]^2)/5 + 4*S[5, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, 1, -1, Infinity] -> S[-1, Infinity]^5/8 - 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 + (87*S[5, Infinity])/32 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, 1, Infinity] -> 4*S[5, Infinity], S[-1, -1, -1, -2, Infinity] -> 
  S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^2*S[3, Infinity])/2 - (3*S[2, Infinity]*S[3, Infinity])/
    4 + (29*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -2, Infinity] -> S[-1, Infinity]^5/40 - 
   (S[-1, Infinity]^4*S[1, Infinity])/8 - (S[-1, Infinity]^3*S[2, Infinity])/
    12 + (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/2 + 
   (7*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (11*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (13*S[1, Infinity]^2*S[3, Infinity])/16 - (S[2, Infinity]*S[3, Infinity])/
    16 - S[5, Infinity]/32 + 3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 + S[5, Infinity]/8 + 
   S[-1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -2, Infinity] -> 
  S[-1, Infinity]^5/12 - (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (59*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[1, Infinity]*S[2, Infinity]^2)/5 + (S[-1, Infinity]^2*S[3, Infinity])/
    2 - S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] - 
   (7*S[2, Infinity]*S[3, Infinity])/8 + (247*S[5, Infinity])/32 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -2, Infinity] -> 
  (-3*S[-1, Infinity]^5)/40 + (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (13*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 - (33*S[5, Infinity])/64 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 2, 1, -1, Infinity] -> (-3*S[-1, Infinity]^5)/40 + 
   (S[-1, Infinity]^4*S[1, Infinity])/8 + (S[-1, Infinity]^3*S[2, Infinity])/
    4 - (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (12*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (6*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 6*S[5, Infinity] + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^5/60 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (87*S[-1, Infinity]*S[2, Infinity]^2)/40 + (221*S[5, Infinity])/32 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 7*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -2, 1, -1, Infinity] -> -S[-1, Infinity]^5/120 + 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]*S[2, Infinity]^2)/40 + (25*S[5, Infinity])/32 + 
   S[-1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, -1, Infinity] -> 
  S[-1, Infinity]^5/40 + (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (47*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^2*S[3, Infinity])/8 + (S[2, Infinity]*S[3, Infinity])/8 - 
   (61*S[5, Infinity])/8 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], S[1, 1, 2, -1, Infinity] -> 
  (11*S[-1, Infinity]^5)/120 - (S[-1, Infinity]^4*S[1, Infinity])/8 - 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (31*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (6*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 + 
   (S[1, Infinity]^2*S[3, Infinity])/8 + (S[2, Infinity]*S[3, Infinity])/8 + 
   4*S[5, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, 1, -1, Infinity] -> -S[-1, Infinity]^5/60 - 
   (3*S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/40 - (99*S[5, Infinity])/32 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 2, -1, Infinity] -> S[-1, Infinity]^5/20 - 
   (S[-1, Infinity]^4*S[1, Infinity])/6 + (S[-1, Infinity]^3*S[2, Infinity])/
    4 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (21*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (5*S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (19*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 + 
   (21*S[2, Infinity]*S[3, Infinity])/16 - (61*S[5, Infinity])/8 + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 2, -1, Infinity] -> (-19*S[-1, Infinity]^5)/120 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (7*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (23*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (19*S[2, Infinity]*S[3, Infinity])/16 + (35*S[5, Infinity])/32 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], S[2, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (83*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 - (85*S[5, Infinity])/64 - 
   4*S[-1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^5/30 - (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 + (845*S[5, Infinity])/64 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   11*S[-1, 1, 1, 1, 1, Infinity], S[1, -2, -1, -1, Infinity] -> 
  S[-1, Infinity]^5/15 - (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[2, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (53*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (99*S[5, Infinity])/32 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -2, Infinity] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (S[-1, Infinity]^2*S[3, Infinity])/16 + (3*S[2, Infinity]*S[3, Infinity])/
    8 - (125*S[5, Infinity])/32 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[1, Infinity]^3*S[2, Infinity])/12 - 
   (13*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]^2*S[3, Infinity])/16 - (11*S[2, Infinity]*S[3, Infinity])/
    48 - S[5, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, -1, -1, Infinity] -> (-7*S[-1, Infinity]^5)/120 + 
   (17*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (21*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (21*S[2, Infinity]*S[3, Infinity])/16 - (911*S[5, Infinity])/64 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   13*S[-1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^5/24 + (S[-1, Infinity]^4*S[1, Infinity])/12 + 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/4 - (S[1, Infinity]*S[2, Infinity]^2)/
    5 + (S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (S[2, Infinity]*S[3, Infinity])/8 + (123*S[5, Infinity])/32 - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 5*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -2, Infinity] -> S[-1, Infinity]^5/20 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - (S[-1, Infinity]*S[2, Infinity]^2)/
    5 - (S[-1, Infinity]^2*S[3, Infinity])/2 - 
   (3*S[2, Infinity]*S[3, Infinity])/8 + (15*S[5, Infinity])/16 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 S[2, -1, -1, -1, Infinity] -> (-7*S[-1, Infinity]^5)/120 + 
   (13*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (3*S[2, Infinity]*S[3, Infinity])/8 - (61*S[5, Infinity])/8 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^5/15 + (11*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (53*S[-1, Infinity]*S[2, Infinity]^2)/40 - (457*S[5, Infinity])/64 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, Infinity], S[1, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^5/10 + (S[-1, Infinity]^4*S[1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (91*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (5*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (5*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (221*S[5, Infinity])/32 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 7*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -2, -1, Infinity] -> (7*S[-1, Infinity]^5)/120 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (31*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (5*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (5*S[2, Infinity]*S[3, Infinity])/16 - (457*S[5, Infinity])/64 - 
   7*S[-1, 1, 1, 1, 1, Infinity], S[1, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (53*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + (7*S[2, Infinity]*S[3, Infinity])/
    8 + (81*S[5, Infinity])/64 - S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, -1, Infinity] -> 
  (3*S[-1, Infinity]^5)/40 - (5*S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (41*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (13*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (13*S[2, Infinity]*S[3, Infinity])/8 + (845*S[5, Infinity])/64 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   11*S[-1, 1, 1, 1, 1, Infinity], S[1, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^5/120 + (S[-1, Infinity]^4*S[1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (31*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (S[1, Infinity]*S[2, Infinity]^2)/8 - (7*S[-1, Infinity]^2*S[3, Infinity])/
    16 - (5*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (3*S[2, Infinity]*S[3, Infinity])/4 - (27*S[5, Infinity])/32 - 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, -1, -1, Infinity] -> S[-1, Infinity]^5/30 - 
   (7*S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (81*S[-1, Infinity]*S[2, Infinity]^2)/20 + (245*S[5, Infinity])/16 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, Infinity], S[2, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^5/60 - (11*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (49*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[2, Infinity]*S[3, Infinity])/16 - (23*S[5, Infinity])/64 - 
   2*S[-1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^5/40 - (9*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (21*S[2, Infinity]*S[3, Infinity])/16 - (23*S[5, Infinity])/64 + 
   3*S[-1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, 1, Infinity] -> 
  (11*S[-1, Infinity]^5)/120 - (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + (7*S[2, Infinity]*S[3, Infinity])/
    8 + (81*S[5, Infinity])/64 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 2, Infinity] -> 
  -(S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (S[-1, Infinity]^2*S[3, Infinity])/2 - (3*S[2, Infinity]*S[3, Infinity])/
    8 - S[5, Infinity], S[1, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^5/120 - (S[-1, Infinity]^4*S[1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (61*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]^2*S[3, Infinity])/2 - (S[2, Infinity]*S[3, Infinity])/16 - 
   (39*S[5, Infinity])/8 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, 1, 1, Infinity] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[2, Infinity]*S[3, Infinity])/16 - (27*S[5, Infinity])/32 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 2, Infinity] -> -S[-1, Infinity]^5/20 + 
   (S[-1, Infinity]^4*S[1, Infinity])/8 + (S[-1, Infinity]^3*S[2, Infinity])/
    6 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (37*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[1, Infinity]*S[2, Infinity]^2)/8 + (S[-1, Infinity]^2*S[3, Infinity])/
    2 - S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] + 
   (7*S[2, Infinity]*S[3, Infinity])/4 + (29*S[5, Infinity])/64 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 2, Infinity] -> -S[-1, Infinity]^5/20 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - (S[-1, Infinity]*S[2, Infinity]^2)/
    5 + (13*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (31*S[2, Infinity]*S[3, Infinity])/16 - (405*S[5, Infinity])/64 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], S[1, 2, 1, 1, Infinity] -> 
  (6*S[1, Infinity]*S[2, Infinity]^2)/5 - 6*S[5, Infinity], 
 S[-2, 1, -1, 1, Infinity] -> S[-1, Infinity]^5/40 + 
   (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
   (3*S[2, Infinity]*S[3, Infinity])/16 - (29*S[5, Infinity])/16 - 
   3*S[-1, 1, 1, 1, 1, Infinity], S[1, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^4*S[1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[1, Infinity]*S[2, Infinity]^2)/8 - (7*S[-1, Infinity]^2*S[3, Infinity])/
    16 + (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (25*S[5, Infinity])/32 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 2, 1, Infinity] -> -S[-1, Infinity]^5/120 - 
   (S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^2*S[3, Infinity])/8 + (S[2, Infinity]*S[3, Infinity])/8 - 
   (29*S[5, Infinity])/16 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], S[1, 1, 2, 1, Infinity] -> 
  (-6*S[1, Infinity]*S[2, Infinity]^2)/5 + S[1, Infinity]^2*S[3, Infinity] + 
   S[2, Infinity]*S[3, Infinity] + 4*S[5, Infinity], 
 S[-1, -2, 1, 1, Infinity] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 + (81*S[5, Infinity])/64 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 2, 1, Infinity] -> (-11*S[-1, Infinity]^5)/120 - 
   (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/20 - (S[1, Infinity]*S[2, Infinity]^2)/
    40 + (19*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 - (85*S[5, Infinity])/64 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 2, 1, Infinity] -> (-13*S[-1, Infinity]^5)/120 + 
   (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (23*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (23*S[2, Infinity]*S[3, Infinity])/16 - (23*S[5, Infinity])/64 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, Infinity], S[2, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^5/120 - (17*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 - (61*S[5, Infinity])/8 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, -1, 1, Infinity] -> (-7*S[-1, Infinity]^5)/120 + 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (27*S[-1, Infinity]*S[2, Infinity]^2)/8 - (911*S[5, Infinity])/64 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   13*S[-1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 1, Infinity] -> 
  S[-1, Infinity]^5/120 - (S[-1, Infinity]^4*S[1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (43*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (39*S[1, Infinity]*S[2, Infinity]^2)/40 + (81*S[5, Infinity])/64 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 2, Infinity] -> -S[-1, Infinity]^5/120 + 
   (S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^2*S[3, Infinity])/16 - (15*S[2, Infinity]*S[3, Infinity])/
    16 + (29*S[5, Infinity])/64 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 2, Infinity] -> 
  (S[1, Infinity]^3*S[2, Infinity])/6 + (9*S[1, Infinity]*S[2, Infinity]^2)/
    10 - (S[1, Infinity]^2*S[3, Infinity])/2 - 
   (S[2, Infinity]*S[3, Infinity])/6 - S[5, Infinity], 
 S[-1, -1, -2, 1, Infinity] -> S[-1, Infinity]^5/8 - 
   (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (13*S[-1, Infinity]^2*S[3, Infinity])/8 + S[2, Infinity]*S[3, Infinity] + 
   (101*S[5, Infinity])/64 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 2, Infinity] -> 
  (11*S[-1, Infinity]^5)/120 - (S[-1, Infinity]^4*S[1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[2, Infinity])/4 + 
   (37*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]*S[2, Infinity]^2)/20 + (S[-1, Infinity]^2*S[3, Infinity])/
    16 - (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[2, Infinity]*S[3, Infinity])/16 + (277*S[5, Infinity])/64 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 2, Infinity] -> S[-1, Infinity]^5/40 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - (S[-1, Infinity]*S[2, Infinity]^2)/
    20 - (S[-1, Infinity]^2*S[3, Infinity])/2 + 
   (S[2, Infinity]*S[3, Infinity])/2 - S[5, Infinity]/32 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[2, -1, -1, 1, Infinity] -> S[-1, Infinity]^5/30 + 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/20 - (29*S[5, Infinity])/16 - 
   4*S[-1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, 1, Infinity] -> 
  S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (5*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (5*S[2, Infinity]*S[3, Infinity])/16 - (29*S[5, Infinity])/16 - 
   3*S[-1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^5/40 + (S[-1, Infinity]^4*S[1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (39*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (9*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (5*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (5*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (23*S[5, Infinity])/64 - 3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^5/20 - (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (49*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 + (521*S[5, Infinity])/32 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   14*S[-1, 1, 1, 1, 1, Infinity], S[1, 2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^5/8 + (S[-1, Infinity]^4*S[1, Infinity])/6 + 
   (3*S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (51*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   2*S[1, Infinity]*S[2, Infinity]^2 + (35*S[-1, Infinity]^2*S[3, Infinity])/
    16 - (21*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 + (87*S[5, Infinity])/32 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity], S[1, 1, -2, 1, Infinity] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (3*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (5*S[1, Infinity]^2*S[3, Infinity])/16 + (S[2, Infinity]*S[3, Infinity])/
    8 + S[5, Infinity]/8 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, Infinity], S[2, 1, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^5)/120 - (11*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (4*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (5*S[2, Infinity]*S[3, Infinity])/8 + (35*S[5, Infinity])/32 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], S[-3, -1, -1, Infinity] -> 
  -S[-1, Infinity]^5/12 + (S[-1, Infinity]^3*S[2, Infinity])/2 + 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/40 - (S[2, Infinity]*S[3, Infinity])/
    2 + (15*S[5, Infinity])/32 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[3, 1, -1, Infinity] -> -S[-1, Infinity]^5/15 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/8 - (S[2, Infinity]*S[3, Infinity])/
    16 - (125*S[5, Infinity])/64 + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, -2, Infinity] -> -S[-1, Infinity]^5/10 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (5*S[2, Infinity]*S[3, Infinity])/16 - (331*S[5, Infinity])/32 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], S[3, 1, 1, Infinity] -> 
  S[2, Infinity]*S[3, Infinity] - S[5, Infinity]/2, 
 S[-2, -1, -2, Infinity] -> S[-1, Infinity]^5/5 - 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (13*S[2, Infinity]*S[3, Infinity])/16 + (547*S[5, Infinity])/32 - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, Infinity], S[1, 1, -3, Infinity] -> 
  S[-1, Infinity]^5/15 - (S[-1, Infinity]^4*S[1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (3*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (3*S[1, Infinity]^2*S[3, Infinity])/8 + (S[2, Infinity]*S[3, Infinity])/
    8 + (33*S[5, Infinity])/32 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[-3, 1, -1, Infinity] -> S[-1, Infinity]^5/30 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 - (3*S[2, Infinity]*S[3, Infinity])/
    4 - (39*S[5, Infinity])/16 - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 3, -1, Infinity] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (13*S[-1, Infinity]*S[2, Infinity]^2)/40 + (27*S[5, Infinity])/8 + 
   4*S[-1, 1, 1, 1, 1, Infinity], S[-2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + 
   (11*S[2, Infinity]*S[3, Infinity])/8 + (33*S[5, Infinity])/32 + 
   4*S[-1, 1, 1, 1, 1, Infinity], S[2, -1, -2, Infinity] -> 
  (3*S[-1, Infinity]*S[2, Infinity]^2)/8 - S[2, Infinity]*S[3, Infinity] + 
   (257*S[5, Infinity])/64, S[-3, -1, 1, Infinity] -> 
  -S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/10 - (13*S[2, Infinity]*S[3, Infinity])/
    8 + (85*S[5, Infinity])/16 + 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -3, Infinity] -> -S[-1, Infinity]^5/20 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - (S[-1, Infinity]*S[2, Infinity]^2)/
    5 + (S[-1, Infinity]^2*S[3, Infinity])/2 + 
   (9*S[2, Infinity]*S[3, Infinity])/8 - (153*S[5, Infinity])/32 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], S[-2, 1, -2, Infinity] -> 
  (S[2, Infinity]*S[3, Infinity])/16 + (5*S[5, Infinity])/8, 
 S[1, 3, -1, Infinity] -> S[-1, Infinity]^5/60 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (S[1, Infinity]*S[2, Infinity]^2)/8 - (7*S[-1, Infinity]^2*S[3, Infinity])/
    8 + (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (125*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, -2, -1, Infinity] -> -S[-1, Infinity]^5/10 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/20 - (123*S[5, Infinity])/16 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], S[1, -2, -2, Infinity] -> 
  (13*S[1, Infinity]*S[2, Infinity]^2)/40 - (5*S[2, Infinity]*S[3, Infinity])/
    8 + (41*S[5, Infinity])/32, S[-1, -3, -1, Infinity] -> 
  S[-1, Infinity]^5/12 - (S[-1, Infinity]^3*S[2, Infinity])/2 + 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + (15*S[5, Infinity])/32 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, 2, -1, Infinity] -> S[-1, Infinity]^5/10 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (113*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (3*S[2, Infinity]*S[3, Infinity])/8 + (125*S[5, Infinity])/16 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, Infinity], S[-3, 1, 1, Infinity] -> 
  S[-1, Infinity]^5/15 - (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + (3*S[2, Infinity]*S[3, Infinity])/
    8 + (15*S[5, Infinity])/32 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, Infinity], S[-1, -1, -3, Infinity] -> 
  (-19*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[-1, Infinity]^2*S[3, Infinity])/8 + (S[2, Infinity]*S[3, Infinity])/
    8 - (15*S[5, Infinity])/8, S[-2, -1, 2, Infinity] -> 
  (-3*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (25*S[2, Infinity]*S[3, Infinity])/8 - (363*S[5, Infinity])/64, 
 S[1, 2, -2, Infinity] -> (-2*S[-1, Infinity]^5)/15 + 
   (S[-1, Infinity]^4*S[1, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 - S[-1, Infinity]^2*S[1, Infinity]*
    S[2, Infinity] - (17*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/2 - 
   S[2, Infinity]*S[3, Infinity] - (73*S[5, Infinity])/64 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, -2, 1, Infinity] -> (15*S[2, Infinity]*S[3, Infinity])/16 - 
   (29*S[5, Infinity])/32, S[1, -3, -1, Infinity] -> 
  -S[-1, Infinity]^5/60 - (S[-1, Infinity]^4*S[1, Infinity])/12 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + (7*S[2, Infinity]*S[3, Infinity])/
    8 + (15*S[5, Infinity])/32 + 2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, Infinity], S[-2, 2, 1, Infinity] -> 
  (-2*S[-1, Infinity]^5)/15 + (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 - (7*S[2, Infinity]*S[3, Infinity])/
    4 - (89*S[5, Infinity])/64 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], S[2, 1, -2, Infinity] -> 
  (5*S[2, Infinity]*S[3, Infinity])/16 - (177*S[5, Infinity])/64, 
 S[-2, 1, 2, Infinity] -> (S[2, Infinity]*S[3, Infinity])/16 - 
   (53*S[5, Infinity])/64, S[-1, 2, -2, Infinity] -> 
  (2*S[-1, Infinity]^5)/15 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (13*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 - (3*S[2, Infinity]*S[3, Infinity])/
    2 + (129*S[5, Infinity])/16 - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -3, 1, Infinity] -> S[-1, Infinity]^5/15 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + (S[-1, Infinity]*S[2, Infinity]^2)/
    2 - (7*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 + (85*S[5, Infinity])/16 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, Infinity], S[2, -2, -1, Infinity] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (113*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 - (7*S[2, Infinity]*S[3, Infinity])/
    4 - (89*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -3, Infinity] -> -S[-1, Infinity]^5/60 + 
   (S[-1, Infinity]^4*S[1, Infinity])/12 + (S[-1, Infinity]^3*S[2, Infinity])/
    6 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/10 - (S[1, Infinity]*S[2, Infinity]^2)/
    5 + (3*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 + 
   (13*S[2, Infinity]*S[3, Infinity])/8 - (15*S[5, Infinity])/8 - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[3, -1, -1, Infinity] -> S[-1, Infinity]^5/60 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (15*S[2, Infinity]*S[3, Infinity])/8 - (311*S[5, Infinity])/64 - 
   2*S[-1, 1, 1, 1, 1, Infinity], S[-1, -2, 2, Infinity] -> 
  (-2*S[-1, Infinity]^5)/15 + (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (7*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + (9*S[2, Infinity]*S[3, Infinity])/
    8 - (259*S[5, Infinity])/64 + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 3, Infinity] -> -(S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (S[1, Infinity]^2*S[3, Infinity])/2 - (S[2, Infinity]*S[3, Infinity])/2 + 
   2*S[5, Infinity], S[-1, 3, 1, Infinity] -> S[-1, Infinity]^5/60 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + (7*S[2, Infinity]*S[3, Infinity])/
    8 - (311*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[2, -1, 2, Infinity] -> -S[-1, Infinity]^5/5 + 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/5 - S[2, Infinity]*S[3, Infinity] - 
   (507*S[5, Infinity])/32 + 8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, Infinity], S[-1, 1, 3, Infinity] -> 
  -S[-1, Infinity]^5/15 + (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^2*S[3, Infinity])/2 - (7*S[2, Infinity]*S[3, Infinity])/
    16 - (151*S[5, Infinity])/64 + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 3, 1, Infinity] -> (S[1, Infinity]*S[2, Infinity]^2)/2 - 
   S[5, Infinity]/2, S[1, -2, 2, Infinity] -> (2*S[-1, Infinity]^5)/15 - 
   (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 + S[-1, Infinity]^2*S[1, Infinity]*
    S[2, Infinity] + (51*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/2 + 
   (5*S[2, Infinity]*S[3, Infinity])/16 + (103*S[5, Infinity])/32 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[2, 2, 1, Infinity] -> 2*S[5, Infinity], S[-1, -1, 3, Infinity] -> 
  S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (3*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (11*S[2, Infinity]*S[3, Infinity])/8 + (159*S[5, Infinity])/64 - 
   2*S[-1, 1, 1, 1, 1, Infinity], S[1, 2, 2, Infinity] -> 
  (7*S[1, Infinity]*S[2, Infinity]^2)/10 + 2*S[2, Infinity]*S[3, Infinity] - 
   (11*S[5, Infinity])/2, S[1, -3, 1, Infinity] -> 
  (-2*S[-1, Infinity]^5)/15 + (S[-1, Infinity]^4*S[1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (11*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 - (39*S[5, Infinity])/16 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 S[2, 1, 2, Infinity] -> -(S[2, Infinity]*S[3, Infinity]) + 
   (9*S[5, Infinity])/2, S[-1, 2, 2, Infinity] -> 
  S[-1, Infinity]^5/10 - (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (51*S[-1, Infinity]*S[2, Infinity]^2)/40 - (S[2, Infinity]*S[3, Infinity])/
    8 + (227*S[5, Infinity])/32 - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity], 
 S[2, -2, 1, Infinity] -> (2*S[-1, Infinity]^5)/15 - 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + 
   (13*S[2, Infinity]*S[3, Infinity])/16 + (33*S[5, Infinity])/32 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], S[1, -1, 3, Infinity] -> 
  S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (49*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (19*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (3*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (13*S[2, Infinity]*S[3, Infinity])/16 + (47*S[5, Infinity])/8 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], S[3, -1, 1, Infinity] -> 
  S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (49*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 - (S[2, Infinity]*S[3, Infinity])/
    16 + (27*S[5, Infinity])/8 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], S[-4, -1, Infinity] -> 
  (-3*S[-1, Infinity]*S[2, Infinity]^2)/4 + (3*S[2, Infinity]*S[3, Infinity])/
    4 - (59*S[5, Infinity])/32, S[4, -1, Infinity] -> 
  (3*S[-1, Infinity]*S[2, Infinity]^2)/4 - (3*S[2, Infinity]*S[3, Infinity])/
    8 + (17*S[5, Infinity])/16, S[-1, -4, Infinity] -> 
  (2*S[-1, Infinity]*S[2, Infinity]^2)/5 - (3*S[2, Infinity]*S[3, Infinity])/
    4 + (91*S[5, Infinity])/32, S[4, 1, Infinity] -> 
  -(S[2, Infinity]*S[3, Infinity]) + 3*S[5, Infinity], 
 S[-3, -2, Infinity] -> (-9*S[2, Infinity]*S[3, Infinity])/4 + 
   (83*S[5, Infinity])/16, S[2, -3, Infinity] -> 
  -(S[2, Infinity]*S[3, Infinity])/8 - (41*S[5, Infinity])/32, 
 S[-4, 1, Infinity] -> (S[2, Infinity]*S[3, Infinity])/2 - 
   (59*S[5, Infinity])/32, S[1, -4, Infinity] -> 
  (-7*S[1, Infinity]*S[2, Infinity]^2)/20 - (S[2, Infinity]*S[3, Infinity])/
    2 + (29*S[5, Infinity])/32, S[-2, -3, Infinity] -> 
  (21*S[2, Infinity]*S[3, Infinity])/8 - (67*S[5, Infinity])/16, 
 S[3, -2, Infinity] -> (S[2, Infinity]*S[3, Infinity])/4 - 
   (51*S[5, Infinity])/32, S[-3, 2, Infinity] -> 
  (-5*S[2, Infinity]*S[3, Infinity])/8 + (11*S[5, Infinity])/32, 
 S[-1, 4, Infinity] -> (-7*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[2, Infinity]*S[3, Infinity])/8 - 2*S[5, Infinity], 
 S[-2, 3, Infinity] -> (-3*S[2, Infinity]*S[3, Infinity])/4 + 
   (21*S[5, Infinity])/32, S[2, 3, Infinity] -> 
  -2*S[2, Infinity]*S[3, Infinity] + (11*S[5, Infinity])/2, 
 S[1, 4, Infinity] -> (2*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   S[2, Infinity]*S[3, Infinity] - 2*S[5, Infinity], 
 S[3, 2, Infinity] -> 3*S[2, Infinity]*S[3, Infinity] - (9*S[5, Infinity])/2, 
 S[-5, Infinity] -> (-15*S[5, Infinity])/16, 
 S[-1, -1, -1, -1, -1, -1, Infinity] -> S[-1, Infinity]^6/720 + 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (61*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + S[3, Infinity]^2/32 - 
   (3*S[-1, Infinity]*S[5, Infinity])/16, S[-1, 1, 1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + S[2, Infinity]^3/120 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (153*S[3, Infinity]^2)/128 - (63*S[-1, Infinity]*S[5, Infinity])/32 - 
   3*S[-5, -1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - S[2, Infinity]^3/56 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (69*S[3, Infinity]^2)/64 + (3*S[-1, Infinity]*S[5, Infinity])/64 + 
   3*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^6/60 + 
   (7*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/36 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/40 + (7*S[2, Infinity]^3)/40 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/18 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (S[1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (2*S[3, Infinity]^2)/3 + (S[1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/2 - S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -1, 1, -1, Infinity] -> 
  (31*S[-1, Infinity]^6)/720 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (11*S[2, Infinity]^3)/7 - 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (41*S[3, Infinity]^2)/64 + (23*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/144 + (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + S[3, Infinity]^2/128 - 
   (S[-1, Infinity]*S[5, Infinity])/2 + (3*S[1, Infinity]*S[5, Infinity])/64, 
 S[-1, 1, -1, -1, 1, -1, Infinity] -> (19*S[-1, Infinity]^6)/720 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (23*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (179*S[3, Infinity]^2)/128 + 6*S[-1, Infinity]*S[5, Infinity] + 
   (15*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/720 + (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/36 - 
   (S[-1, Infinity]^2*S[1, Infinity]^4)/48 + 
   (S[-1, Infinity]*S[1, Infinity]^5)/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^3*S[3, Infinity])/18 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[5, Infinity])/5, S[-1, -1, -1, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/720 + (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (187*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + S[3, Infinity]^2/32 - 
   (3*S[-1, Infinity]*S[5, Infinity])/16, 
 S[1, -1, -1, -1, 1, -1, Infinity] -> (-5*S[-1, Infinity]^6)/72 + 
   (13*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (43*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (29*S[2, Infinity]^3)/60 + (31*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (23*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (23*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (177*S[3, Infinity]^2)/128 + (375*S[1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, 1, -1, Infinity] -> (-8*S[2, Infinity]^3)/7 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/120 - (S[-1, Infinity]^5*S[1, Infinity])/24 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/18 + 
   (S[-1, Infinity]^2*S[1, Infinity]^4)/48 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 + 
   (S[1, Infinity]^4*S[2, Infinity])/48 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/8 + (9*S[2, Infinity]^3)/80 - 
   (S[-1, Infinity]^3*S[3, Infinity])/9 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/6 - 
   (7*S[1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/48 - 
   (7*S[3, Infinity]^2)/24 - (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/240 - (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (143*S[2, Infinity]^3)/105 - 
   (S[-1, Infinity]^3*S[3, Infinity])/3 + S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (23*S[3, Infinity]^2)/32 - 
   4*S[-1, Infinity]*S[5, Infinity] - (9*S[-5, -1, Infinity])/4 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^5*S[1, Infinity])/12 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 - (101*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   6*S[-1, Infinity]*S[5, Infinity] + 6*S[1, Infinity]*S[5, Infinity] - 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/80 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (13*S[2, Infinity]^3)/105 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (7*S[3, Infinity]^2)/32 + (S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 1, 1, 1, Infinity] -> 
  S[1, Infinity]^6/720 + (S[1, Infinity]^4*S[2, Infinity])/48 + 
   (9*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (61*S[2, Infinity]^3)/560 + 
   (S[1, Infinity]^3*S[3, Infinity])/18 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 + S[3, Infinity]^2/18 + 
   (S[1, Infinity]*S[5, Infinity])/5, S[-1, -1, -1, 1, -1, -1, Infinity] -> 
  (13*S[-1, Infinity]^6)/720 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (11*S[2, Infinity]^3)/80 - 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (167*S[3, Infinity]^2)/64 - (369*S[-1, Infinity]*S[5, Infinity])/64 - 
   6*S[-5, -1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 1, 1, -1, Infinity] -> 
  (8*S[2, Infinity]^3)/35 + S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, -1, -1, Infinity] -> S[-1, Infinity]^6/72 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (18*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (109*S[3, Infinity]^2)/64 + (27*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/60 + (7*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/36 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/40 + (111*S[2, Infinity]^3)/280 + 
   (5*S[-1, Infinity]^3*S[3, Infinity])/9 - S[-1, Infinity]^2*S[1, Infinity]*
    S[3, Infinity] + (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 - 
   (7*S[1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - S[3, Infinity]^2/6 + 
   2*S[-1, Infinity]*S[5, Infinity] - (63*S[1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/2 - S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, -1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (3*S[2, Infinity]^3)/5 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (15*S[3, Infinity]^2)/32 - (81*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^6/240 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (13*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - S[3, Infinity]^2/8 + 
   S[1, Infinity]*S[5, Infinity] + S[-5, -1, Infinity]/2 + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/720 - (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (53*S[2, Infinity]^3)/560 + 
   (S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   S[3, Infinity]^2/128 + (3*S[-1, Infinity]*S[5, Infinity])/64, 
 S[1, 1, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^6/120 - 
   (S[-1, Infinity]^5*S[1, Infinity])/24 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/18 + 
   (S[-1, Infinity]^2*S[1, Infinity]^4)/48 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 - 
   (S[1, Infinity]^4*S[2, Infinity])/48 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (13*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (13*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (303*S[2, Infinity]^3)/560 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/18 + 
   (2*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/3 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 + 
   (S[1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 - 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/48 + 
   S[3, Infinity]^2/24 - S[-1, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*S[5, Infinity] - 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -1, 1, 1, Infinity] -> 
  (31*S[-1, Infinity]^6)/720 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (3*S[2, Infinity]^3)/7 - 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (87*S[3, Infinity]^2)/64 + (23*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, 1, -1, Infinity] -> 
  (16*S[2, Infinity]^3)/7 + 4*S[-1, Infinity]*S[5, Infinity] - 
   4*S[1, Infinity]*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^6)/720 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (3*S[2, Infinity]^3)/80 + 
   (11*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (169*S[3, Infinity]^2)/64 + (375*S[-1, Infinity]*S[5, Infinity])/64 + 
   6*S[-5, -1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/5 + (51*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]^3*S[3, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - S[3, Infinity]^2/2 - 
   (63*S[1, Infinity]*S[5, Infinity])/32 + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, 1, 1, Infinity] -> S[-1, Infinity]^6/240 - 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (23*S[2, Infinity]^3)/35 - 
   (S[-1, Infinity]^3*S[3, Infinity])/3 + S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (55*S[3, Infinity]^2)/32 - 
   4*S[-1, Infinity]*S[5, Infinity] - (9*S[-5, -1, Infinity])/4 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (49*S[3, Infinity]^2)/128 + S[-1, Infinity]*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, -1, -1, Infinity] -> (-13*S[-1, Infinity]^6)/360 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (5*S[2, Infinity]^3)/21 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (75*S[3, Infinity]^2)/64 - 4*S[-1, Infinity]*S[5, Infinity] - 
   (5*S[-5, -1, Infinity])/2 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   S[2, Infinity]^3/60 + (11*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (167*S[3, Infinity]^2)/128 + 3*S[-1, Infinity]*S[5, Infinity] + 
   (27*S[1, Infinity]*S[5, Infinity])/32 + 3*S[-5, -1, Infinity] + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 1, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^6)/720 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (2089*S[2, Infinity]^3)/
    1680 - (23*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (25*S[3, Infinity]^2)/64 - (369*S[-1, Infinity]*S[5, Infinity])/64 - 
   6*S[-5, -1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, -1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (6*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (27*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (229*S[3, Infinity]^2)/128 - (81*S[1, Infinity]*S[5, Infinity])/64 - 
   (15*S[-5, -1, Infinity])/4 - 3*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 9*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^6/180 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (71*S[2, Infinity]^3)/168 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (101*S[3, Infinity]^2)/64 + (3*S[-1, Infinity]*S[5, Infinity])/64 + 
   3*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, -1, -1, Infinity] -> (11*S[-1, Infinity]^6)/720 - 
   (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/16 - (649*S[2, Infinity]^3)/1680 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[3, Infinity]^2)/32 - (S[-1, Infinity]*S[5, Infinity])/2 + 
   (3*S[1, Infinity]*S[5, Infinity])/64 - S[-5, -1, Infinity]/4 - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (3*S[2, Infinity]^3)/5 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (49*S[3, Infinity]^2)/32 - (81*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^6/90 + 
   (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (34*S[2, Infinity]^3)/35 + (5*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (27*S[3, Infinity]^2)/64 + 2*S[-1, Infinity]*S[5, Infinity] - 
   (3*S[1, Infinity]*S[5, Infinity])/16 + (3*S[-5, -1, Infinity])/4 + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, 1, 1, Infinity] -> 
  (19*S[-1, Infinity]^6)/720 - (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (27*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (243*S[3, Infinity]^2)/128 + 6*S[-1, Infinity]*S[5, Infinity] + 
   (15*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, -1, -1, Infinity] -> 
  (17*S[-1, Infinity]^6)/720 - (7*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (77*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (39*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (9*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (61*S[2, Infinity]^3)/112 - 
   (17*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (9*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - (55*S[3, Infinity]^2)/32 + 
   (23*S[1, Infinity]*S[5, Infinity])/64 + (9*S[-5, -1, Infinity])/4 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, -1, -1, Infinity] -> 
  (37*S[-1, Infinity]^6)/720 - (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (47*S[2, Infinity]^3)/105 - (11*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (11*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (13*S[3, Infinity]^2)/64 - (369*S[1, Infinity]*S[5, Infinity])/64 - 
   3*S[-5, -1, Infinity] - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/80 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + S[2, Infinity]^3/7 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (25*S[3, Infinity]^2)/32 + (S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^6/48 + (S[-1, Infinity]^5*S[1, Infinity])/12 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/36 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 + (61*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/18 - S[-1, Infinity]^2*S[1, Infinity]*
    S[3, Infinity] + S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity] - 
   (S[1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - S[3, Infinity]^2/12 + 
   4*S[-1, Infinity]*S[5, Infinity] - 4*S[1, Infinity]*S[5, Infinity] + 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (172*S[2, Infinity]^3)/105 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (45*S[3, Infinity]^2)/64 + (27*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (121*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (89*S[3, Infinity]^2)/128 - (63*S[-1, Infinity]*S[5, Infinity])/32 - 
   3*S[-5, -1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/720 - (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (123*S[2, Infinity]^3)/560 + 
   (S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   S[3, Infinity]^2/128 + (3*S[-1, Infinity]*S[5, Infinity])/64, 
 S[1, -1, 1, -1, 1, 1, Infinity] -> -S[-1, Infinity]^6/144 + 
   (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (63*S[3, Infinity]^2)/128 - (29*S[1, Infinity]*S[5, Infinity])/64, 
 S[-1, 1, -1, -1, -1, 1, Infinity] -> (-11*S[-1, Infinity]^6)/720 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (1207*S[2, Infinity]^3)/1680 + 
   (11*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (23*S[3, Infinity]^2)/64 + (375*S[-1, Infinity]*S[5, Infinity])/64 + 
   6*S[-5, -1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -1, 1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^6)/72 + (13*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (43*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (29*S[2, Infinity]^3)/60 + (31*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (23*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (25*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (79*S[3, Infinity]^2)/128 + (11*S[-1, Infinity]*S[5, Infinity])/2 + 
   (23*S[1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^6)/360 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (11*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (11*S[3, Infinity]^2)/64 - 4*S[-1, Infinity]*S[5, Infinity] - 
   (5*S[-5, -1, Infinity])/2 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^5*S[1, Infinity])/12 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/240 + (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 - S[2, Infinity]^3/5 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (5*S[3, Infinity]^2)/8 + S[-1, Infinity]*S[5, Infinity] + 
   S[-5, -1, Infinity]/2 + S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, 1, 1, Infinity] -> 
  -(S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (23*S[2, Infinity]^3)/140 - (S[-1, Infinity]^3*S[3, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + S[3, Infinity]^2/2 - 
   2*S[-1, Infinity]*S[5, Infinity] + (S[1, Infinity]*S[5, Infinity])/32 + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^6/72 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (2*S[2, Infinity]^3)/5 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (15*S[3, Infinity]^2)/128 + S[-1, Infinity]*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, -1, 1, Infinity] -> (-17*S[-1, Infinity]^6)/720 + 
   (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (71*S[2, Infinity]^3)/140 + (11*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (25*S[3, Infinity]^2)/128 + (123*S[1, Infinity]*S[5, Infinity])/32 + 
   3*S[-5, -1, Infinity] + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, -1, 1, Infinity] -> 
  (-7*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (6*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (13*S[2, Infinity]^3)/7 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (165*S[3, Infinity]^2)/128 + (9*S[-1, Infinity]*S[5, Infinity])/2 - 
   (369*S[1, Infinity]*S[5, Infinity])/64 - (15*S[-5, -1, Infinity])/4 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/16 + (137*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (25*S[3, Infinity]^2)/32 - (29*S[1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity]/4 - S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, -1, 1, Infinity] -> -S[-1, Infinity]^6/90 + 
   (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (6*S[2, Infinity]^3)/35 + (5*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (101*S[3, Infinity]^2)/64 + (29*S[1, Infinity]*S[5, Infinity])/16 + 
   (3*S[-5, -1, Infinity])/4 + 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, -1, 1, Infinity] -> (17*S[-1, Infinity]^6)/720 - 
   (7*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (67*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (19*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (2687*S[2, Infinity]^3)/1680 - 
   (17*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (9*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - (23*S[3, Infinity]^2)/32 - 
   (11*S[-1, Infinity]*S[5, Infinity])/2 + 
   (375*S[1, Infinity]*S[5, Infinity])/64 + (9*S[-5, -1, Infinity])/4 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, -1, 1, Infinity] -> 
  (37*S[-1, Infinity]^6)/720 - (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (3*S[2, Infinity]^3)/70 - (11*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (11*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (83*S[3, Infinity]^2)/64 - (9*S[-1, Infinity]*S[5, Infinity])/2 - 
   (81*S[1, Infinity]*S[5, Infinity])/64 - 3*S[-5, -1, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^6/48 + (S[-1, Infinity]^5*S[1, Infinity])/12 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/36 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]^3*S[3, Infinity])/18 + 
   (7*S[1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[3, Infinity]^2)/12 + (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/360 - (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (20*S[2, Infinity]^3)/7 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (33*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (41*S[3, Infinity]^2)/32 + (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   4*S[-5, -1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 2, -1, Infinity] -> 
  (-19*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^5*S[1, Infinity])/20 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
   (21*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (5*S[1, Infinity]^2*S[2, Infinity]^2)/8 + (909*S[2, Infinity]^3)/560 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (19*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   S[3, Infinity]^2/2 - (61*S[1, Infinity]*S[5, Infinity])/8 - 
   S[-5, -1, Infinity] + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^6/24 + (3*S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (27*S[2, Infinity]^3)/40 + 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (163*S[3, Infinity]^2)/64 - (85*S[-1, Infinity]*S[5, Infinity])/64 + 
   6*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -1, 1, -1, Infinity] -> 
  (37*S[-1, Infinity]^6)/720 - (13*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (55*S[2, Infinity]^3)/56 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (37*S[3, Infinity]^2)/64 - (5*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, 1, -1, Infinity] -> 
  (7*S[-1, Infinity]^6)/240 + (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (2*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (165*S[3, Infinity]^2)/128 - (99*S[-1, Infinity]*S[5, Infinity])/32 + 
   3*S[-5, -1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, 1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^6)/180 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (79*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (83*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (163*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (209*S[3, Infinity]^2)/128 - (85*S[1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity] + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (45*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (16*S[2, Infinity]^3)/35 - (45*S[3, Infinity]^2)/16 + 
   (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (99*S[1, Infinity]*S[5, Infinity])/32 + (15*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/720 - (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (6*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (8*S[2, Infinity]^3)/7 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/144 - (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (123*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (8*S[2, Infinity]^3)/5 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (211*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/64 + 
   (17*S[-5, -1, Infinity])/4 + S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   11*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 2, -1, Infinity] -> 
  (-13*S[-1, Infinity]^6)/360 + (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (31*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 + (61*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (S[1, Infinity]^3*S[3, Infinity])/24 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + S[3, Infinity]^2/12 + 
   4*S[1, Infinity]*S[5, Infinity] + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (93*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 3*S[2, Infinity]^3 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (441*S[3, Infinity]^2)/64 - (61*S[-1, Infinity]*S[5, Infinity])/8 - 
   (35*S[-5, -1, Infinity])/2 - 6*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 30*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, 1, -1, -1, Infinity] -> S[-1, Infinity]^6/80 + 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (44*S[2, Infinity]^3)/35 - 
   S[3, Infinity]^2/32 - (9*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^6/30 + (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (31*S[2, Infinity]^3)/35 + 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (25*S[3, Infinity]^2)/32 - (23*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/2 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/120 + (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (43*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (149*S[2, Infinity]^3)/35 - 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (39*S[3, Infinity]^2)/64 - (465*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/4 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 2, -1, Infinity] -> 
  (101*S[-1, Infinity]^6)/720 - (19*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (121*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (479*S[2, Infinity]^3)/280 - (23*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (23*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (19*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (177*S[3, Infinity]^2)/64 + (35*S[1, Infinity]*S[5, Infinity])/32 + 
   (17*S[-5, -1, Infinity])/4 - 3*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   11*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 1, 1, 1, Infinity] -> 
  (8*S[2, Infinity]^3)/7, S[-2, -1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/24 - (3*S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (279*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (1501*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (243*S[3, Infinity]^2)/64 - (15*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   15*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^6/240 + (S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (11*S[1, Infinity]^2*S[2, Infinity]^2)/40 + (11*S[2, Infinity]^3)/40 + 
   (13*S[1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (19*S[3, Infinity]^2)/24 - (S[1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/2 + (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^6/60 + (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (13*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/3 - S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] - (3*S[3, Infinity]^2)/4 + 
   4*S[-1, Infinity]*S[5, Infinity] + 2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/18 - (23*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (147*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (25*S[2, Infinity]^3)/14 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (31*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (81*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/64 - 
   (17*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   11*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 2, -1, Infinity] -> 
  (-17*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (487*S[2, Infinity]^3)/140 + 
   (S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (243*S[3, Infinity]^2)/64 - (61*S[-1, Infinity]*S[5, Infinity])/8 - 
   10*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   22*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/720 + (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (6*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (12*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (16*S[2, Infinity]^3)/7 + 4*S[1, Infinity]*S[5, Infinity] + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 2, -1, Infinity] -> 
  (-7*S[-1, Infinity]^6)/240 + (S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (47*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (86*S[2, Infinity]^3)/35 - (S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (25*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/16 - 
   (61*S[1, Infinity]*S[5, Infinity])/8 - (3*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 1, -1, 1, Infinity] -> 
  (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (71*S[2, Infinity]^3)/35 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (3*S[3, Infinity]^2)/4 - (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   2*S[-5, -1, Infinity] - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^6/40 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (107*S[2, Infinity]^3)/40 - 
   (39*S[3, Infinity]^2)/8 + (221*S[-1, Infinity]*S[5, Infinity])/32 + 
   13*S[-5, -1, Infinity] + 7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, 1, -1, Infinity] -> 
  (19*S[-1, Infinity]^6)/720 - (3*S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (12*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 - (101*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   6*S[1, Infinity]*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 1, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[1, Infinity])/60 - (S[-1, Infinity]^4*S[2, Infinity])/
    48 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (139*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (87*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (16*S[2, Infinity]^3)/35 + (45*S[3, Infinity]^2)/16 - 
   (465*S[-1, Infinity]*S[5, Infinity])/64 + 
   (221*S[1, Infinity]*S[5, Infinity])/32 - (15*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/90 + (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (77*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (45*S[2, Infinity]^3)/112 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - (31*S[3, Infinity]^2)/16 + 
   4*S[-5, -1, Infinity] + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/120 - (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (103*S[2, Infinity]^3)/560 + 
   (9*S[3, Infinity]^2)/32 + (25*S[-1, Infinity]*S[5, Infinity])/32 - 
   (3*S[-5, -1, Infinity])/4 + S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -2, -1, Infinity] -> (-7*S[-1, Infinity]^6)/360 + 
   (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/4 - 
   (31*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/16 - S[2, Infinity]^3/16 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (5*S[1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (67*S[3, Infinity]^2)/384 - (27*S[1, Infinity]*S[5, Infinity])/32 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (21*S[2, Infinity]^3)/80 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (17*S[3, Infinity]^2)/128 + (25*S[1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, -1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^6)/144 + (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (11*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (119*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (49*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (48*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (131*S[3, Infinity]^2)/128 - (23*S[1, Infinity]*S[5, Infinity])/64 + 
   (15*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^6/80 - (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (93*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (447*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (105*S[3, Infinity]^2)/32 - (7*S[-5, -1, Infinity])/4 + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/18 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (53*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/80 + (59*S[2, Infinity]^3)/112 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (11*S[3, Infinity]^2)/64 + (81*S[1, Infinity]*S[5, Infinity])/64 - 
   (5*S[-5, -1, Infinity])/2 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, -2, Infinity] -> 
  (-3*S[-1, Infinity]^6)/80 + (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (81*S[2, Infinity]^3)/280 + 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (85*S[3, Infinity]^2)/128 - (39*S[-1, Infinity]*S[5, Infinity])/8 - 
   (5*S[-5, -1, Infinity])/2 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/60 - (5*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (11*S[2, Infinity]^3)/80 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (165*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/16 - 
   6*S[-5, -1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -1, -2, Infinity] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (57*S[2, Infinity]^3)/112 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + S[3, Infinity]^2/4 - 
   S[-1, Infinity]*S[5, Infinity], S[1, 1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (13*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (303*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (S[1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/48 - 
   S[3, Infinity]^2/24 - S[1, Infinity]*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^6/80 + (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (241*S[2, Infinity]^3)/280 + (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (35*S[3, Infinity]^2)/16 + (29*S[1, Infinity]*S[5, Infinity])/64 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, -1, -1, Infinity] -> 
  (-2*S[-1, Infinity]^6)/45 + (13*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   S[-1, Infinity]^2*S[2, Infinity]^2 - (659*S[2, Infinity]^3)/560 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (121*S[3, Infinity]^2)/64 + (19*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   13*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (6*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (17*S[3, Infinity]^2)/128 + S[-5, -1, Infinity]/2 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/40 - (7*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (13*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (53*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (34*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (25*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/16 - 
   (61*S[1, Infinity]*S[5, Infinity])/8 + (3*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, 1, -1, Infinity] -> 
  (7*S[-1, Infinity]^6)/144 - (5*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (2*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (73*S[3, Infinity]^2)/64 + 4*S[-1, Infinity]*S[5, Infinity] + 
   (11*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/80 - (11*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (6*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (23*S[2, Infinity]^3)/7 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (31*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (25*S[3, Infinity]^2)/32 + (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/2 + (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/30 - (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (11*S[2, Infinity]^3)/7 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (39*S[3, Infinity]^2)/64 + (81*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 2, 1, Infinity] -> 
  (7*S[-1, Infinity]^6)/144 - (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/80 + (109*S[2, Infinity]^3)/280 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (19*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (31*S[3, Infinity]^2)/16 - (403*S[-1, Infinity]*S[5, Infinity])/64 - 
   (85*S[1, Infinity]*S[5, Infinity])/64 - 4*S[-5, -1, Infinity] - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, 1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^6)/240 + (S[-1, Infinity]^5*S[1, Infinity])/8 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (173*S[2, Infinity]^3)/560 + (21*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (69*S[3, Infinity]^2)/32 + (87*S[1, Infinity]*S[5, Infinity])/32 - 
   (9*S[-5, -1, Infinity])/4 + 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, 1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^6)/240 + (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (173*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (89*S[3, Infinity]^2)/64 + (403*S[-1, Infinity]*S[5, Infinity])/64 - 
   (61*S[1, Infinity]*S[5, Infinity])/8 + (9*S[-5, -1, Infinity])/4 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/180 - (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (18*S[2, Infinity]^3)/35 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (107*S[3, Infinity]^2)/64 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (19*S[-5, -1, Infinity])/4 + S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 2, 1, Infinity] -> 
  (-3*S[1, Infinity]^2*S[2, Infinity]^2)/5 - (61*S[2, Infinity]^3)/35 + 
   (S[1, Infinity]^3*S[3, Infinity])/3 + S[1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (2*S[3, Infinity]^2)/3 + 
   4*S[1, Infinity]*S[5, Infinity], S[-1, 1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/80 + (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + S[2, Infinity]^3 + 
   (45*S[3, Infinity]^2)/32 - 6*S[-1, Infinity]*S[5, Infinity] - 
   (15*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[2, -1, -1, 1, 1, Infinity] -> (7*S[-1, Infinity]^6)/720 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (6*S[2, Infinity]^3)/35 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (137*S[3, Infinity]^2)/64 + (3*S[-5, -1, Infinity])/4 - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, -2, Infinity] -> 
  (-7*S[-1, Infinity]^6)/240 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + S[2, Infinity]^3/112 + 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (115*S[3, Infinity]^2)/128 - (33*S[-1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity]/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, 2, Infinity] -> 
  (7*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 + 
   (91*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (61*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/16 + (661*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (S[1, Infinity]^3*S[3, Infinity])/6 + 
   (55*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/48 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (179*S[3, Infinity]^2)/384 + (155*S[-1, Infinity]*S[5, Infinity])/32 - 
   (39*S[1, Infinity]*S[5, Infinity])/8 + S[-5, -1, Infinity]/2 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, -2, Infinity] -> 
  S[-1, Infinity]^6/18 - (3*S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (389*S[2, Infinity]^3)/560 - (13*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (69*S[3, Infinity]^2)/32 - (93*S[-1, Infinity]*S[5, Infinity])/16 - 
   (33*S[1, Infinity]*S[5, Infinity])/64 - (11*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, 1, 1, Infinity] -> 
  (-16*S[2, Infinity]^3)/7 + 4*S[1, Infinity]*S[5, Infinity], 
 S[-1, -2, 1, 1, -1, Infinity] -> -S[-1, Infinity]^6/720 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (22*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (107*S[3, Infinity]^2)/64 - (27*S[-1, Infinity]*S[5, Infinity])/32 - 
   (19*S[-5, -1, Infinity])/4 - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, 1, 1, Infinity] -> 
  (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 + (101*S[2, Infinity]^3)/35 - 
   6*S[1, Infinity]*S[5, Infinity], S[1, -2, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/48 - (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (17*S[2, Infinity]^3)/280 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (49*S[3, Infinity]^2)/128 + (S[1, Infinity]*S[5, Infinity])/8 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[2, -1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^6/144 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (559*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   S[3, Infinity]^2/2 - (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, -2, Infinity] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (187*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (35*S[3, Infinity]^2)/64 + (247*S[-1, Infinity]*S[5, Infinity])/32 + 
   (29*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^6/36 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (15*S[2, Infinity]^3)/112 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (5*S[1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (29*S[3, Infinity]^2)/384 - (31*S[-1, Infinity]*S[5, Infinity])/32 + 
   (S[1, Infinity]*S[5, Infinity])/8 - S[-5, -1, Infinity]/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, -2, Infinity] -> 
  (-41*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^5*S[1, Infinity])/12 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (15*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (59*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/10 - (193*S[2, Infinity]^3)/70 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (73*S[3, Infinity]^2)/64 - (465*S[-1, Infinity]*S[5, Infinity])/64 + 
   (247*S[1, Infinity]*S[5, Infinity])/32 + (11*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, -1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^6)/40 + (11*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (11*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (177*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (4*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (4*S[2, Infinity]^3)/5 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (97*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   (35*S[1, Infinity]*S[5, Infinity])/32 + (15*S[-5, -1, Infinity])/4 + 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^6/120 + 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (63*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (143*S[2, Infinity]^3)/140 + 
   (45*S[3, Infinity]^2)/32 - (15*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, -1, 1, Infinity] -> 
  (67*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^5*S[1, Infinity])/8 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (51*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   S[1, Infinity]^2*S[2, Infinity]^2 - (51*S[2, Infinity]^3)/35 - 
   (49*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (35*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (73*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   (87*S[1, Infinity]*S[5, Infinity])/32 - (11*S[-5, -1, Infinity])/4 - 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (927*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (107*S[3, Infinity]^2)/128 + (S[-1, Infinity]*S[5, Infinity])/8 + 
   (13*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   11*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/720 - (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (47*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (113*S[2, Infinity]^3)/140 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (37*S[3, Infinity]^2)/16 - S[-5, -1, Infinity]/4 - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -2, -1, Infinity] -> 
  (23*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (249*S[2, Infinity]^3)/70 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - (9*S[3, Infinity]^2)/8 + 
   (101*S[-1, Infinity]*S[5, Infinity])/64 + 4*S[-5, -1, Infinity] - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 1, 2, Infinity] -> 
  (S[1, Infinity]^4*S[2, Infinity])/24 + 
   (9*S[1, Infinity]^2*S[2, Infinity]^2)/20 + (183*S[2, Infinity]^3)/280 - 
   (S[1, Infinity]^3*S[3, Infinity])/6 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 - S[3, Infinity]^2/3 - 
   S[1, Infinity]*S[5, Infinity], S[1, -1, -1, -2, -1, Infinity] -> 
  S[-1, Infinity]^6/240 + (3*S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (91*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (41*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (261*S[2, Infinity]^3)/80 + (13*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[3, Infinity]^2)/4 + (845*S[1, Infinity]*S[5, Infinity])/64 + 
   7*S[-5, -1, Infinity] + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   11*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   18*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, -1, 1, Infinity] -> 
  (-41*S[-1, Infinity]^6)/720 + (2*S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (221*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (134*S[2, Infinity]^3)/35 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (247*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   10*S[-5, -1, Infinity] + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   22*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, -1, -1, Infinity] -> 
  (7*S[-1, Infinity]^6)/720 - (13*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (481*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (177*S[3, Infinity]^2)/128 + (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   (13*S[-5, -1, Infinity])/4 - 3*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 11*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 2, -1, -1, 1, Infinity] -> -S[-1, Infinity]^6/144 + 
   (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (49*S[3, Infinity]^2)/32 - (29*S[1, Infinity]*S[5, Infinity])/16 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/240 + (25*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (263*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (1133*S[2, Infinity]^3)/280 - (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (237*S[3, Infinity]^2)/64 + (35*S[-1, Infinity]*S[5, Infinity])/32 + 
   (43*S[-5, -1, Infinity])/4 + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 27*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, -1, -1, 1, Infinity] -> -S[-1, Infinity]^6/360 - 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (6*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (137*S[3, Infinity]^2)/64 - (3*S[-5, -1, Infinity])/4 + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, -1, -1, Infinity] -> 
  (19*S[-1, Infinity]^6)/240 + (17*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (263*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (3643*S[2, Infinity]^3)/560 - (39*S[3, Infinity]^2)/4 + 
   (245*S[-1, Infinity]*S[5, Infinity])/16 + 26*S[-5, -1, Infinity] - 
   (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^6/40 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (87*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (81*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   3*S[2, Infinity]^3 + (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (441*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/32 + 
   (245*S[1, Infinity]*S[5, Infinity])/16 + (35*S[-5, -1, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   30*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^6)/240 + (11*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (92*S[2, Infinity]^3)/35 - 
   (69*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (321*S[3, Infinity]^2)/128 + (9*S[-5, -1, Infinity])/2 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (2259*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (237*S[3, Infinity]^2)/64 + (87*S[-1, Infinity]*S[5, Infinity])/32 - 
   (43*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   27*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (31*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (1943*S[2, Infinity]^3)/560 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 + S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (361*S[3, Infinity]^2)/128 - 
   (457*S[-1, Infinity]*S[5, Infinity])/64 - (33*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -2, -1, Infinity] -> 
  (-7*S[-1, Infinity]^6)/144 + (7*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (73*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (31*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (8*S[2, Infinity]^3)/5 + (5*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (5*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (201*S[3, Infinity]^2)/128 + (341*S[-1, Infinity]*S[5, Infinity])/64 - 
   (457*S[1, Infinity]*S[5, Infinity])/64 - (17*S[-5, -1, Infinity])/4 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   11*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^6)/240 - (29*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (97*S[2, Infinity]^3)/40 + 
   (111*S[3, Infinity]^2)/32 - (457*S[-1, Infinity]*S[5, Infinity])/64 - 
   (37*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   15*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 1, -1, -1, Infinity] -> 
  (7*S[-1, Infinity]^6)/240 - (S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (11*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
   (53*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (41*S[2, Infinity]^3)/280 - (9*S[3, Infinity]^2)/32 + 
   (341*S[-1, Infinity]*S[5, Infinity])/64 - 
   (457*S[1, Infinity]*S[5, Infinity])/64 + (3*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -2, -1, Infinity] -> S[-1, Infinity]^6/40 - 
   (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (51*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (191*S[2, Infinity]^3)/280 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (5*S[3, Infinity]^2)/64 + (221*S[-1, Infinity]*S[5, Infinity])/32 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -2, -1, Infinity] -> (37*S[-1, Infinity]^6)/720 - 
   (S[-1, Infinity]^5*S[1, Infinity])/10 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (91*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/10 - (17*S[2, Infinity]^3)/14 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (5*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (107*S[3, Infinity]^2)/64 - (465*S[-1, Infinity]*S[5, Infinity])/64 + 
   (221*S[1, Infinity]*S[5, Infinity])/32 - (19*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, 1, 1, Infinity] -> 
  (11*S[-1, Infinity]^6)/240 - (19*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (251*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (261*S[2, Infinity]^3)/80 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + (147*S[3, Infinity]^2)/64 + 
   (465*S[-1, Infinity]*S[5, Infinity])/64 - 7*S[-5, -1, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   18*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^6/120 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (3*S[2, Infinity]^3)/7 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (3*S[3, Infinity]^2)/8 - S[-1, Infinity]*S[5, Infinity] - 
   S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, -2, Infinity] -> (-7*S[-1, Infinity]^6)/720 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (41*S[2, Infinity]^3)/56 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (47*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (189*S[3, Infinity]^2)/128 - (125*S[-1, Infinity]*S[5, Infinity])/32 - 
   (9*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, -2, Infinity] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (113*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (86*S[2, Infinity]^3)/35 + (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (97*S[3, Infinity]^2)/64 + (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (125*S[1, Infinity]*S[5, Infinity])/32 - (15*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^6/40 + (11*S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (161*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (186*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (333*S[3, Infinity]^2)/32 + (845*S[-1, Infinity]*S[5, Infinity])/64 + 
   26*S[-5, -1, Infinity] + 11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, -1, -1, Infinity] -> 
  (11*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^5*S[1, Infinity])/24 - 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (431*S[2, Infinity]^3)/560 - (7*S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (27*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (269*S[3, Infinity]^2)/128 + (101*S[1, Infinity]*S[5, Infinity])/64 + 
   (9*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   5*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, -1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^6)/240 + (31*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (263*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (263*S[2, Infinity]^3)/80 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (459*S[3, Infinity]^2)/128 - (99*S[-1, Infinity]*S[5, Infinity])/32 + 
   10*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^6/36 + (S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (53*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/10 + S[2, Infinity]^3/14 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (107*S[3, Infinity]^2)/64 + (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (99*S[1, Infinity]*S[5, Infinity])/32 + (19*S[-5, -1, Infinity])/4 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/240 + (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (2*S[2, Infinity]^3)/35 + 
   S[3, Infinity]^2/32 + (9*S[-5, -1, Infinity])/4 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/120 - (19*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (161*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (1459*S[2, Infinity]^3)/280 + (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (501*S[3, Infinity]^2)/64 - 
   (61*S[-1, Infinity]*S[5, Infinity])/8 - 20*S[-5, -1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   42*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^6/120 - (11*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (47*S[2, Infinity]^3)/35 - (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (3*S[3, Infinity]^2)/4 - (S[-1, Infinity]*S[5, Infinity])/32 + 
   2*S[-5, -1, Infinity] - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, -2, Infinity] -> (-7*S[-1, Infinity]^6)/240 + 
   (S[-1, Infinity]^5*S[1, Infinity])/20 + (S[-1, Infinity]^4*S[2, Infinity])/
    12 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (34*S[2, Infinity]^3)/35 + (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[3, Infinity]^2)/4 + (15*S[1, Infinity]*S[5, Infinity])/16 - 
   (3*S[-5, -1, Infinity])/2 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^6/24 - (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (421*S[2, Infinity]^3)/70 + 
   (39*S[3, Infinity]^2)/4 - (911*S[-1, Infinity]*S[5, Infinity])/64 - 
   26*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/48 - (7*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (25*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (17*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (301*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (21*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (2141*S[2, Infinity]^3)/560 - (7*S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (597*S[3, Infinity]^2)/128 - (911*S[1, Infinity]*S[5, Infinity])/64 - 
   (31*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   13*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   30*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, -2, Infinity] -> 
  (11*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (139*S[2, Infinity]^3)/280 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 - (129*S[3, Infinity]^2)/128 + 
   (277*S[-1, Infinity]*S[5, Infinity])/64 + (5*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, -2, Infinity] -> S[-1, Infinity]^6/90 - 
   (S[-1, Infinity]^5*S[1, Infinity])/24 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/10 - (151*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (13*S[3, Infinity]^2)/8 + (123*S[1, Infinity]*S[5, Infinity])/32 + 
   2*S[-5, -1, Infinity] - S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 5*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^6/240 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (129*S[2, Infinity]^3)/560 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (93*S[-1, Infinity]*S[5, Infinity])/16 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 2, 1, Infinity] -> (-37*S[-1, Infinity]^6)/720 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (61*S[2, Infinity]^3)/280 + 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (75*S[3, Infinity]^2)/32 - (85*S[-1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity]/4 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -2, 1, 1, Infinity] -> (11*S[-1, Infinity]^6)/720 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (233*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (241*S[3, Infinity]^2)/128 - (99*S[-1, Infinity]*S[5, Infinity])/32 - 
   (9*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 1, 1, Infinity] -> 
  (7*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (6*S[2, Infinity]^3)/35 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (229*S[3, Infinity]^2)/128 + (81*S[1, Infinity]*S[5, Infinity])/64 + 
   (15*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (247*S[2, Infinity]^3)/280 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (57*S[3, Infinity]^2)/128 + (3*S[-5, -1, Infinity])/4 - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/240 - (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (51*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (1991*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + (405*S[3, Infinity]^2)/128 - 
   (61*S[-1, Infinity]*S[5, Infinity])/8 - (23*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 2, 1, Infinity] -> 
  (-31*S[-1, Infinity]^6)/720 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (3*S[2, Infinity]^3)/7 + 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (87*S[3, Infinity]^2)/64 - (23*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/4 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 2, 1, Infinity] -> 
  (31*S[-1, Infinity]^6)/360 - (13*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (23*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (55*S[2, Infinity]^3)/56 - (23*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (23*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (23*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (21*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   (23*S[1, Infinity]*S[5, Infinity])/64 + (5*S[-5, -1, Infinity])/4 - 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, -1, 1, Infinity] -> 
  (-7*S[-1, Infinity]^6)/120 + (5*S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (219*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (491*S[2, Infinity]^3)/140 - 
   (501*S[3, Infinity]^2)/128 - (279*S[-1, Infinity]*S[5, Infinity])/64 + 
   (33*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^6/240 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (23*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/3 - S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] - (55*S[3, Infinity]^2)/32 + 
   4*S[-1, Infinity]*S[5, Infinity] + (9*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 2, 1, Infinity] -> 
  (-5*S[-1, Infinity]^6)/144 + (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (163*S[2, Infinity]^3)/140 + 
   (S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (117*S[3, Infinity]^2)/64 - (61*S[-1, Infinity]*S[5, Infinity])/8 - 
   (19*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   13*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 2, 1, Infinity] -> 
  S[-1, Infinity]^6/90 - (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (6*S[2, Infinity]^3)/35 - (S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (123*S[3, Infinity]^2)/64 - (29*S[1, Infinity]*S[5, Infinity])/16 - 
   (3*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, 1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^6)/80 + (17*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (47*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (2141*S[2, Infinity]^3)/560 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (891*S[3, Infinity]^2)/128 + (221*S[-1, Infinity]*S[5, Infinity])/32 + 
   (31*S[-5, -1, Infinity])/2 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   30*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/720 - (S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (43*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (6*S[2, Infinity]^3)/35 + (21*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (131*S[3, Infinity]^2)/128 - 
   (23*S[1, Infinity]*S[5, Infinity])/64 - (15*S[-5, -1, Infinity])/4 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/180 + (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (251*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (19*S[3, Infinity]^2)/128 + (25*S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, 1, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/16 + (69*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (49*S[3, Infinity]^2)/128 + (25*S[1, Infinity]*S[5, Infinity])/32 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^6/72 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (49*S[3, Infinity]^2)/128 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^6/30 + (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (17*S[2, Infinity]^3)/70 + 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (65*S[3, Infinity]^2)/64 - (39*S[-1, Infinity]*S[5, Infinity])/8 - 
   3*S[-5, -1, Infinity] + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^6/240 - (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (99*S[2, Infinity]^3)/280 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (13*S[3, Infinity]^2)/64 - S[-1, Infinity]*S[5, Infinity] - 
   (3*S[-5, -1, Infinity])/4 - 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, 2, Infinity] -> S[-1, Infinity]^6/72 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (83*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (859*S[2, Infinity]^3)/560 + (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (55*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   S[1, Infinity]*S[5, Infinity] - (15*S[-5, -1, Infinity])/4 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/72 + (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (18*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (109*S[3, Infinity]^2)/64 - (27*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, 1, 1, Infinity] -> 
  (13*S[-1, Infinity]^6)/360 - (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (18*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (11*S[3, Infinity]^2)/64 + 4*S[-1, Infinity]*S[5, Infinity] + 
   (5*S[-5, -1, Infinity])/2 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, 1, 1, Infinity] -> 
  (13*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (3*S[2, Infinity]^3)/5 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (49*S[3, Infinity]^2)/32 + (81*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, 1, 1, Infinity] -> 
  (-67*S[-1, Infinity]^6)/720 + (11*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/2 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (163*S[2, Infinity]^3)/560 + (49*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (209*S[3, Infinity]^2)/128 + (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   (81*S[1, Infinity]*S[5, Infinity])/64 + S[-5, -1, Infinity] + 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^6/180 - (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (293*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (31*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (181*S[3, Infinity]^2)/128 - S[-5, -1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, 1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^6)/720 + (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (27*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (131*S[3, Infinity]^2)/128 - 6*S[-1, Infinity]*S[5, Infinity] - 
   (15*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^6/30 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (31*S[2, Infinity]^3)/70 + 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (91*S[3, Infinity]^2)/64 - (33*S[-1, Infinity]*S[5, Infinity])/64 + 
   (7*S[-5, -1, Infinity])/4 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -1, 2, Infinity] -> (7*S[-1, Infinity]^6)/240 - 
   (S[-1, Infinity]^5*S[1, Infinity])/20 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (341*S[2, Infinity]^3)/280 - (13*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (29*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (31*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (89*S[3, Infinity]^2)/128 - (405*S[1, Infinity]*S[5, Infinity])/64 - 
   (21*S[-5, -1, Infinity])/4 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/120 - (S[-1, Infinity]^4*S[2, Infinity])/2 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 2*S[2, Infinity]^3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (501*S[3, Infinity]^2)/128 - (457*S[-1, Infinity]*S[5, Infinity])/64 - 
   10*S[-5, -1, Infinity] + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (9*S[2, Infinity]^3)/40 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (17*S[3, Infinity]^2)/128 + (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   (27*S[1, Infinity]*S[5, Infinity])/32 + S[-5, -1, Infinity]/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, 2, Infinity] -> 
  (7*S[-1, Infinity]^6)/240 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (157*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (97*S[3, Infinity]^2)/32 + (247*S[-1, Infinity]*S[5, Infinity])/32 + 
   (17*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^6/80 - (S[-1, Infinity]^5*S[1, Infinity])/20 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (37*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/16 - (137*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (31*S[3, Infinity]^2)/32 + (29*S[1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity]/4 - (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, -1, 1, Infinity] -> 
  (7*S[-1, Infinity]^6)/240 + (23*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (271*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (3019*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (417*S[3, Infinity]^2)/64 + (845*S[-1, Infinity]*S[5, Infinity])/64 + 
   (47*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   42*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -2, 1, Infinity] -> 
  (13*S[-1, Infinity]^6)/720 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (243*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (111*S[3, Infinity]^2)/128 + (S[-1, Infinity]*S[5, Infinity])/8 + 
   S[-5, -1, Infinity] - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -2, 1, Infinity] -> 
  (13*S[-1, Infinity]^6)/240 - (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (49*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (65*S[2, Infinity]^3)/56 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (25*S[3, Infinity]^2)/8 + (101*S[-1, Infinity]*S[5, Infinity])/64 + 
   (7*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^6/20 + (S[-1, Infinity]^5*S[1, Infinity])/8 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (493*S[2, Infinity]^3)/560 + (13*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - (13*S[3, Infinity]^2)/4 + 
   (93*S[-1, Infinity]*S[5, Infinity])/8 + 
   (101*S[1, Infinity]*S[5, Infinity])/64 + (15*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   15*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (1737*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (417*S[3, Infinity]^2)/64 - (911*S[-1, Infinity]*S[5, Infinity])/64 - 
   (47*S[-5, -1, Infinity])/2 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   42*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, -1, 1, Infinity] -> 
  (7*S[-1, Infinity]^6)/120 + (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (53*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (71*S[2, Infinity]^3)/28 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (723*S[3, Infinity]^2)/128 + (35*S[-1, Infinity]*S[5, Infinity])/32 + 
   (17*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^6)/240 - (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (191*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (3331*S[2, Infinity]^3)/560 - (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (459*S[3, Infinity]^2)/64 + (245*S[-1, Infinity]*S[5, Infinity])/16 + 
   20*S[-5, -1, Infinity] - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   42*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^6/20 + (S[-1, Infinity]^5*S[1, Infinity])/20 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (49*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (1041*S[2, Infinity]^3)/280 + (21*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (111*S[3, Infinity]^2)/128 + (521*S[1, Infinity]*S[5, Infinity])/32 + 
   (23*S[-5, -1, Infinity])/2 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 14*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -2, 1, Infinity] -> -S[-1, Infinity]^6/48 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (443*S[2, Infinity]^3)/560 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (181*S[3, Infinity]^2)/128 - (457*S[-1, Infinity]*S[5, Infinity])/64 - 
   (9*S[-5, -1, Infinity])/2 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^6/120 - (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (233*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (417*S[2, Infinity]^3)/112 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (681*S[3, Infinity]^2)/128 + (87*S[-1, Infinity]*S[5, Infinity])/32 - 
   (17*S[-5, -1, Infinity])/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -2, 1, Infinity] -> 
  (3*S[-1, Infinity]^6)/80 - (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (101*S[2, Infinity]^3)/140 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (95*S[3, Infinity]^2)/64 + (221*S[-1, Infinity]*S[5, Infinity])/32 + 
   (15*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^6/120 + (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (113*S[2, Infinity]^3)/140 + (5*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (5*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (47*S[3, Infinity]^2)/128 - (29*S[1, Infinity]*S[5, Infinity])/16 - 
   (3*S[-5, -1, Infinity])/4 - 3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^6/72 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (7*S[2, Infinity]^3)/40 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (129*S[3, Infinity]^2)/64 - (125*S[-1, Infinity]*S[5, Infinity])/32 - 
   (3*S[-5, -1, Infinity])/2 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^6/360 + (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (41*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (101*S[2, Infinity]^3)/280 - (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (5*S[3, Infinity]^2)/128 - 
   (29*S[1, Infinity]*S[5, Infinity])/16 + S[-5, -1, Infinity]/4 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, -1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^6)/80 + (19*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (59*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (197*S[2, Infinity]^3)/80 - 
   (111*S[3, Infinity]^2)/32 - (99*S[-1, Infinity]*S[5, Infinity])/32 + 
   (37*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   15*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -2, 1, Infinity] -> 
  S[-1, Infinity]^6/240 - (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (39*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (9*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (31*S[2, Infinity]^3)/560 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (5*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   S[3, Infinity]^2/32 - (23*S[1, Infinity]*S[5, Infinity])/64 - 
   (9*S[-5, -1, Infinity])/4 - (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, 2, Infinity] -> 
  S[-1, Infinity]^6/80 - (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - S[2, Infinity]^3/7 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (25*S[3, Infinity]^2)/32 - (S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 1, 2, Infinity] -> 
  S[-1, Infinity]^6/240 - (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + S[2, Infinity]^3/5 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (5*S[3, Infinity]^2)/8 - S[-1, Infinity]*S[5, Infinity] - 
   S[-5, -1, Infinity]/2 - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, 2, Infinity] -> 
  (7*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (23*S[2, Infinity]^3)/20 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (63*S[3, Infinity]^2)/32 + (277*S[-1, Infinity]*S[5, Infinity])/64 + 
   (11*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, 2, Infinity] -> 
  S[-1, Infinity]^6/144 - (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (63*S[3, Infinity]^2)/128 + (29*S[1, Infinity]*S[5, Infinity])/64 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/240 + (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (47*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (3*S[2, Infinity]^3)/560 - (7*S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (165*S[3, Infinity]^2)/128 - (93*S[-1, Infinity]*S[5, Infinity])/8 + 
   (845*S[1, Infinity]*S[5, Infinity])/64 - 3*S[-5, -1, Infinity] + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   11*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/720 + (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (43*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (39*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (209*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (109*S[3, Infinity]^2)/64 + (81*S[1, Infinity]*S[5, Infinity])/64 + 
   (5*S[-5, -1, Infinity])/2 + (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/16 - (41*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (463*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (3293*S[2, Infinity]^3)/560 + (39*S[3, Infinity]^2)/4 - 
   (61*S[-1, Infinity]*S[5, Infinity])/8 - 26*S[-5, -1, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^6/360 + (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (11*S[2, Infinity]^3)/14 + (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (3*S[3, Infinity]^2)/32 + (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   (S[1, Infinity]*S[5, Infinity])/32 - (7*S[-5, -1, Infinity])/4 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, -1, 1, Infinity] -> 
  (7*S[-1, Infinity]^6)/240 - (7*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (269*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (27*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (227*S[2, Infinity]^3)/80 + (39*S[3, Infinity]^2)/8 - 
   (911*S[1, Infinity]*S[5, Infinity])/64 - 13*S[-5, -1, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   13*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 2, Infinity] -> 
  (-7*S[-1, Infinity]^6)/120 + (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + 
   (37*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/40 - (181*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (153*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/64 + 
   (277*S[1, Infinity]*S[5, Infinity])/64 + (9*S[-5, -1, Infinity])/2 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], S[-3, -1, -1, -1, Infinity] -> 
  (-2*S[-1, Infinity]^6)/45 + (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (503*S[2, Infinity]^3)/1680 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (15*S[3, Infinity]^2)/16 - (11*S[-5, -1, Infinity])/4 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[3, -1, 1, -1, Infinity] -> 
  (11*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (137*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (2363*S[2, Infinity]^3)/1680 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (25*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (223*S[3, Infinity]^2)/128 - 3*S[-5, -1, Infinity] - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 2, -1, Infinity] -> 
  (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (771*S[2, Infinity]^3)/560 - 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (151*S[3, Infinity]^2)/128 + (3*S[-5, -1, Infinity])/4 - 
   (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[3, 1, 1, -1, Infinity] -> S[-1, Infinity]^6/90 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (107*S[2, Infinity]^3)/105 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (7*S[3, Infinity]^2)/32 + (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (61*S[2, Infinity]^3)/35 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (113*S[3, Infinity]^2)/64 - (31*S[-1, Infinity]*S[5, Infinity])/16 - 
   (9*S[-5, -1, Infinity])/2 - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[3, 1, -1, -1, Infinity] -> -S[-1, Infinity]^6/24 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (67*S[2, Infinity]^3)/120 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (67*S[3, Infinity]^2)/128 - (3*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], S[1, -2, 2, -1, Infinity] -> 
  (7*S[-1, Infinity]^6)/90 - (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (87*S[2, Infinity]^3)/280 - (7*S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (109*S[3, Infinity]^2)/128 + (33*S[1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[3, 1, 1, 1, Infinity] -> 
  (2*S[2, Infinity]^3)/105 + S[3, Infinity]^2, 
 S[-3, -1, 1, -1, Infinity] -> S[-1, Infinity]^6/120 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (209*S[2, Infinity]^3)/336 - 
   (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (173*S[3, Infinity]^2)/64 - (31*S[-1, Infinity]*S[5, Infinity])/4 - 
   (31*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[3, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/40 - (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (677*S[2, Infinity]^3)/1680 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (251*S[3, Infinity]^2)/128 + (31*S[-1, Infinity]*S[5, Infinity])/4 + 
   (5*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -2, -2, Infinity] -> -S[-1, Infinity]^6/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (178*S[2, Infinity]^3)/105 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (37*S[3, Infinity]^2)/16 + (103*S[-1, Infinity]*S[5, Infinity])/32 + 
   7*S[-5, -1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[3, 1, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (205*S[2, Infinity]^3)/168 - 
   (183*S[3, Infinity]^2)/128 + (155*S[-1, Infinity]*S[5, Infinity])/64 + 
   4*S[-5, -1, Infinity] + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^6/15 + (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (151*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (162*S[2, Infinity]^3)/35 + 
   (57*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   11*S[3, Infinity]^2 + (1271*S[-1, Infinity]*S[5, Infinity])/64 + 
   30*S[-5, -1, Infinity] + 16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^6/30 + (S[-1, Infinity]^5*S[1, Infinity])/10 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (113*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (86*S[2, Infinity]^3)/35 + 3*S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (27*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/16 + 
   (125*S[1, Infinity]*S[5, Infinity])/16 - (3*S[-5, -1, Infinity])/4 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[-3, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^6/20 + (13*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (1151*S[2, Infinity]^3)/840 - 
   S[3, Infinity]^2/32 - (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 2, -1, Infinity] -> 
  S[-1, Infinity]^6/90 + (113*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (76*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (45*S[3, Infinity]^2)/16 - (89*S[-1, Infinity]*S[5, Infinity])/64 - 
   8*S[-5, -1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, -2, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (7*S[2, Infinity]^3)/24 + 
   (33*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (73*S[3, Infinity]^2)/128 + 5*S[-5, -1, Infinity], 
 S[1, 1, -2, -2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (13*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (157*S[2, Infinity]^3)/1680 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (51*S[3, Infinity]^2)/128 + (41*S[1, Infinity]*S[5, Infinity])/32 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], S[-3, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (337*S[2, Infinity]^3)/840 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (9*S[3, Infinity]^2)/64 - (3*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 2, -1, Infinity] -> 
  S[-1, Infinity]^6/10 - (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (97*S[2, Infinity]^3)/140 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (61*S[3, Infinity]^2)/32 + (125*S[-1, Infinity]*S[5, Infinity])/16 + 
   4*S[-5, -1, Infinity] - 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, -1, -2, Infinity] -> -S[-1, Infinity]^6/30 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (769*S[2, Infinity]^3)/210 - 
   (569*S[3, Infinity]^2)/128 + (155*S[-1, Infinity]*S[5, Infinity])/64 + 
   (21*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 2, -1, Infinity] -> 
  (-2*S[-1, Infinity]^6)/15 + (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (111*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (47*S[2, Infinity]^3)/28 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (137*S[3, Infinity]^2)/32 + (23*S[-5, -1, Infinity])/2 + 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[-3, 1, -1, -1, Infinity] -> 
  (7*S[-1, Infinity]^6)/360 - (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (97*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (121*S[2, Infinity]^3)/168 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (9*S[3, Infinity]^2)/64 - (155*S[-1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity]/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -3, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/72 + (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (4*S[2, Infinity]^3)/5 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (5*S[3, Infinity]^2)/8 + (15*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, -2, -1, Infinity] -> (2*S[-1, Infinity]^6)/15 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (171*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (239*S[2, Infinity]^3)/70 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (649*S[3, Infinity]^2)/128 - 13*S[-5, -1, Infinity] - 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -3, Infinity] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^5*S[1, Infinity])/20 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (13*S[2, Infinity]^3)/35 - (S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - S[3, Infinity]^2/8 - 
   (153*S[1, Infinity]*S[5, Infinity])/32 - (3*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^6/15 + (5*S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (813*S[2, Infinity]^3)/280 - 
   (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (173*S[3, Infinity]^2)/64 + (9*S[-5, -1, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 3, -1, Infinity] -> 
  (-13*S[-1, Infinity]^6)/360 + (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (251*S[2, Infinity]^3)/210 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (211*S[3, Infinity]^2)/128 - (125*S[-1, Infinity]*S[5, Infinity])/64 - 
   4*S[-5, -1, Infinity] + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, -2, -1, Infinity] -> (25*S[3, Infinity]^2)/128 + 
   (93*S[-1, Infinity]*S[5, Infinity])/64, S[2, -2, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^6)/180 - (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (73*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (67*S[2, Infinity]^3)/70 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[3, Infinity]^2)/128 - (5*S[-5, -1, Infinity])/4 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[-3, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/360 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (4*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (83*S[2, Infinity]^3)/60 + 
   (17*S[3, Infinity]^2)/64 - 3*S[-5, -1, Infinity] + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -3, Infinity] -> 
  -S[-1, Infinity]^6/36 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (8*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (25*S[3, Infinity]^2)/64 - (151*S[-1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity]/4 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, -2, Infinity] -> 
  S[-1, Infinity]^6/30 - (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (83*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (761*S[2, Infinity]^3)/210 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (557*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/64 - 
   (23*S[-5, -1, Infinity])/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 3, -1, Infinity] -> 
  -S[-1, Infinity]^6/90 + (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/16 - (1271*S[2, Infinity]^3)/1680 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[3, Infinity]^2)/32 + (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   (125*S[1, Infinity]*S[5, Infinity])/64 + S[-5, -1, Infinity]/4 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-3, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (85*S[2, Infinity]^3)/168 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (41*S[3, Infinity]^2)/64 - (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -3, 1, -1, Infinity] -> (-3*S[-1, Infinity]^6)/40 + 
   (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (19*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + S[3, Infinity]^2/4 - 
   (39*S[1, Infinity]*S[5, Infinity])/16 + (3*S[-5, -1, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, -2, Infinity] -> 
  (-5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (17*S[2, Infinity]^3)/21 + 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (131*S[3, Infinity]^2)/128 + (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2, S[2, 1, 2, -1, Infinity] -> (-3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (9*S[2, Infinity]^3)/5 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (15*S[3, Infinity]^2)/32 + (465*S[-1, Infinity]*S[5, Infinity])/64 + 
   (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-3, 1, -1, 1, Infinity] -> S[-1, Infinity]^6/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (137*S[2, Infinity]^3)/210 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (193*S[3, Infinity]^2)/64 + 4*S[-5, -1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 2, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^6)/180 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (51*S[2, Infinity]^3)/80 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (41*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (83*S[3, Infinity]^2)/128 + (5*S[-5, -1, Infinity])/4 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (13*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -2, 1, 1, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (55*S[2, Infinity]^3)/112 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (45*S[3, Infinity]^2)/128 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[1, -1, -2, -2, Infinity] -> S[-1, Infinity]^6/20 - 
   (S[-1, Infinity]^5*S[1, Infinity])/10 - 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (977*S[2, Infinity]^3)/1680 + (5*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (77*S[3, Infinity]^2)/128 + 
   (403*S[-1, Infinity]*S[5, Infinity])/64 - 
   (331*S[1, Infinity]*S[5, Infinity])/32 - (3*S[-5, -1, Infinity])/2 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, -2, -1, 1, Infinity] -> -S[-1, Infinity]^6/20 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (233*S[2, Infinity]^3)/280 - 
   (25*S[3, Infinity]^2)/128 - (403*S[-1, Infinity]*S[5, Infinity])/64 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^6/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (53*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (3*S[3, Infinity]^2)/2 + (33*S[-1, Infinity]*S[5, Infinity])/32 + 
   3*S[-5, -1, Infinity] - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 2, 1, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (117*S[2, Infinity]^3)/112 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (127*S[3, Infinity]^2)/64 + (3*S[-5, -1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[1, 3, 1, -1, Infinity] -> S[-1, Infinity]^6/40 - 
   (S[-1, Infinity]^5*S[1, Infinity])/15 - (S[-1, Infinity]^4*S[2, Infinity])/
    12 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - S[3, Infinity]^2/128 + 
   (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   (125*S[1, Infinity]*S[5, Infinity])/64 - S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 2*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^6/15 - (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (5687*S[2, Infinity]^3)/840 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (55*S[3, Infinity]^2)/8 - (31*S[-1, Infinity]*S[5, Infinity])/4 - 
   21*S[-5, -1, Infinity] - 16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, -2, Infinity] -> 
  -S[-1, Infinity]^6/30 + (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (281*S[2, Infinity]^3)/240 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (59*S[3, Infinity]^2)/64 - (331*S[-1, Infinity]*S[5, Infinity])/32 - 
   (19*S[-5, -1, Infinity])/2 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, 2, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (241*S[2, Infinity]^3)/336 - 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (91*S[3, Infinity]^2)/128 - (13*S[-5, -1, Infinity])/4 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, -3, Infinity] -> 
  -S[-1, Infinity]^6/36 + (S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/8 + (257*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (S[1, Infinity]^3*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[3, Infinity]^2)/8 + (31*S[-1, Infinity]*S[5, Infinity])/32 + 
   (33*S[1, Infinity]*S[5, Infinity])/32 + S[-5, -1, Infinity]/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 2*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, -2, 1, Infinity] -> S[-1, Infinity]^6/15 - 
   (S[-1, Infinity]^4*S[2, Infinity])/3 + S[-1, Infinity]^2*
    S[2, Infinity]^2 - (46*S[2, Infinity]^3)/35 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (599*S[3, Infinity]^2)/128 + (1457*S[-1, Infinity]*S[5, Infinity])/64 + 
   13*S[-5, -1, Infinity] - 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 3, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/72 - (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (247*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] - (217*S[3, Infinity]^2)/128 - 
   (125*S[-1, Infinity]*S[5, Infinity])/64 + (9*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, -2, 1, Infinity] -> (9*S[2, Infinity]^3)/80 + 
   (25*S[3, Infinity]^2)/128, S[2, 1, -1, -2, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (47*S[2, Infinity]^3)/420 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (129*S[3, Infinity]^2)/128 - S[-5, -1, Infinity]/4 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], S[-2, -1, 1, 2, Infinity] -> 
  (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (613*S[2, Infinity]^3)/840 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (247*S[3, Infinity]^2)/128 + (21*S[-5, -1, Infinity])/4 - 
   (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-1, -2, -1, -2, Infinity] -> S[-1, Infinity]^6/15 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (13*S[2, Infinity]^3)/5 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (455*S[3, Infinity]^2)/128 + (547*S[-1, Infinity]*S[5, Infinity])/32 + 
   13*S[-5, -1, Infinity] - 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, 2, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (13*S[2, Infinity]^3)/60 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (17*S[3, Infinity]^2)/16 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[1, -1, 3, -1, Infinity] -> S[-1, Infinity]^6/24 - 
   (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (13*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (1139*S[2, Infinity]^3)/1680 - (39*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (55*S[3, Infinity]^2)/128 + 
   (27*S[1, Infinity]*S[5, Infinity])/8 - (5*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, -2, Infinity] -> 
  S[-1, Infinity]^6/15 - (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (1643*S[2, Infinity]^3)/280 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (41*S[3, Infinity]^2)/4 - (507*S[-1, Infinity]*S[5, Infinity])/32 - 
   26*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^6/15 + (19*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (151*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (2533*S[2, Infinity]^3)/336 - (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 - 8*S[3, Infinity]^2 + 
   (31*S[-1, Infinity]*S[5, Infinity])/4 + 21*S[-5, -1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 3, -1, Infinity] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (295*S[2, Infinity]^3)/336 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (7*S[3, Infinity]^2)/4 - (311*S[-1, Infinity]*S[5, Infinity])/64 - 
   5*S[-5, -1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 2, -1, -2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (43*S[2, Infinity]^3)/56 + (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 - S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (39*S[3, Infinity]^2)/64 + (257*S[1, Infinity]*S[5, Infinity])/64 + 
   (7*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, -2, -1, -2, Infinity] -> -S[-1, Infinity]^6/15 + 
   (S[-1, Infinity]^5*S[1, Infinity])/5 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (989*S[2, Infinity]^3)/560 - (13*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (659*S[3, Infinity]^2)/128 - 
   (1457*S[-1, Infinity]*S[5, Infinity])/64 + 
   (547*S[1, Infinity]*S[5, Infinity])/32 - 14*S[-5, -1, Infinity] + 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^6/60 + (13*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (203*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (149*S[2, Infinity]^3)/35 - 
   (69*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (41*S[3, Infinity]^2)/64 - (279*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/4 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[-2, 2, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/90 + (19*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (20*S[2, Infinity]^3)/7 + (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (33*S[3, Infinity]^2)/32 + (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   4*S[-5, -1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -3, -1, Infinity] -> 
  -S[-1, Infinity]^6/20 + (S[-1, Infinity]^5*S[1, Infinity])/12 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/2 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (31*S[2, Infinity]^3)/168 + (39*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (173*S[3, Infinity]^2)/64 + 
   (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (15*S[1, Infinity]*S[5, Infinity])/32 + (31*S[-5, -1, Infinity])/4 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -3, Infinity] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (51*S[2, Infinity]^3)/112 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (5*S[3, Infinity]^2)/2 + (47*S[-1, Infinity]*S[5, Infinity])/8 + 
   (17*S[-5, -1, Infinity])/4 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 3, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/180 + (S[-1, Infinity]^5*S[1, Infinity])/60 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (23*S[2, Infinity]^3)/80 - (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (111*S[3, Infinity]^2)/64 - (311*S[1, Infinity]*S[5, Infinity])/64 + 
   (5*S[-5, -1, Infinity])/4 - 2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -3, -1, Infinity] -> 
  -S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (2113*S[2, Infinity]^3)/1680 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   S[3, Infinity]^2/32 + (15*S[-1, Infinity]*S[5, Infinity])/32 + 
   (3*S[-5, -1, Infinity])/4 + 6*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -3, Infinity] -> S[-1, Infinity]^6/360 - 
   (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/10 + (93*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - S[3, Infinity]^2/2 - 
   (15*S[1, Infinity]*S[5, Infinity])/8 - 2*S[-5, -1, Infinity] - 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 3, -1, -1, Infinity] -> 
  -S[-1, Infinity]^6/30 + (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - S[3, Infinity]^2/2 + 
   (27*S[-1, Infinity]*S[5, Infinity])/8 + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], S[2, 1, -2, -1, Infinity] -> 
  (75*S[2, Infinity]^3)/112 + (21*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (225*S[3, Infinity]^2)/128 + 
   (15*S[-5, -1, Infinity])/4, S[-1, -2, -2, -1, Infinity] -> 
  -S[-1, Infinity]^6/10 + (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (73*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (183*S[2, Infinity]^3)/140 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (25*S[3, Infinity]^2)/128 - (123*S[-1, Infinity]*S[5, Infinity])/16 + 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 2, -2, Infinity] -> (-7*S[-1, Infinity]^6)/90 + 
   (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (67*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (13*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (29*S[2, Infinity]^3)/168 + (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 + 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (285*S[3, Infinity]^2)/128 + (129*S[1, Infinity]*S[5, Infinity])/16 + 
   (7*S[-5, -1, Infinity])/2 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -2, -1, Infinity] -> 
  -S[-1, Infinity]^6/90 - (19*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (20*S[2, Infinity]^3)/7 - (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (33*S[3, Infinity]^2)/32 + (33*S[-1, Infinity]*S[5, Infinity])/32 + 
   4*S[-5, -1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -2, -1, Infinity] -> 
  S[-1, Infinity]^6/15 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (91*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (177*S[2, Infinity]^3)/70 - 
   (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (347*S[3, Infinity]^2)/32 - (1457*S[-1, Infinity]*S[5, Infinity])/64 - 
   30*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, -2, Infinity] -> 
  (7*S[-1, Infinity]^6)/180 - (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (1381*S[2, Infinity]^3)/420 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (49*S[3, Infinity]^2)/16 + (227*S[-1, Infinity]*S[5, Infinity])/32 + 
   9*S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -2, -1, Infinity] -> 
  (-7*S[-1, Infinity]^6)/90 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
   (113*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (411*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (7*S[3, Infinity]^2)/4 - (89*S[1, Infinity]*S[5, Infinity])/64 - 
   (9*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -2, -1, Infinity] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^5*S[1, Infinity])/10 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (61*S[2, Infinity]^3)/35 - (15*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (113*S[3, Infinity]^2)/64 + 
   (217*S[-1, Infinity]*S[5, Infinity])/32 - 
   (123*S[1, Infinity]*S[5, Infinity])/16 + (9*S[-5, -1, Infinity])/2 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 2, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/15 - (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (93*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (661*S[2, Infinity]^3)/560 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (119*S[3, Infinity]^2)/64 - (19*S[-5, -1, Infinity])/4 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -3, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/20 - (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (509*S[2, Infinity]^3)/560 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - (25*S[3, Infinity]^2)/32 + 
   (15*S[-1, Infinity]*S[5, Infinity])/32 + (17*S[-5, -1, Infinity])/4 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -3, Infinity] -> 
  S[-1, Infinity]^6/120 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (49*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (1091*S[2, Infinity]^3)/560 + (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (25*S[3, Infinity]^2)/64 + (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (15*S[1, Infinity]*S[5, Infinity])/8 - (7*S[-5, -1, Infinity])/4 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -2, Infinity] -> 
  S[-1, Infinity]^6/45 - (11*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (153*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (2641*S[2, Infinity]^3)/840 - (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (37*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (499*S[3, Infinity]^2)/128 - (73*S[-1, Infinity]*S[5, Infinity])/64 - 
   (19*S[-5, -1, Infinity])/4 + 7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^6/90 - (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (53*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - S[2, Infinity]^3/14 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (25*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (69*S[3, Infinity]^2)/32 + (403*S[-1, Infinity]*S[5, Infinity])/64 + 
   8*S[-5, -1, Infinity] + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -3, Infinity] -> 
  S[-1, Infinity]^6/360 - (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (123*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (15*S[-1, Infinity]*S[5, Infinity])/8 - (9*S[-5, -1, Infinity])/4 - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, -2, Infinity] -> 
  S[-1, Infinity]^6/18 - (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
   (17*S[1, Infinity]^2*S[2, Infinity]^2)/16 - (4393*S[2, Infinity]^3)/1680 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + (23*S[3, Infinity]^2)/32 - 
   (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (73*S[1, Infinity]*S[5, Infinity])/64 - (9*S[-5, -1, Infinity])/4 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -3, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/45 - (S[-1, Infinity]^5*S[1, Infinity])/12 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/2 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (4*S[2, Infinity]^3)/5 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (3*S[3, Infinity]^2)/4 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (15*S[1, Infinity]*S[5, Infinity])/32 + (5*S[-5, -1, Infinity])/4 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 1, -2, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (26*S[2, Infinity]^3)/15 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (45*S[3, Infinity]^2)/64 - (155*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-1, -2, 1, -2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (279*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (61*S[3, Infinity]^2)/128 - (53*S[-1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[1, 1, -3, -1, Infinity] -> (7*S[-1, Infinity]^6)/180 - 
   (S[-1, Infinity]^5*S[1, Infinity])/60 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/10 + (509*S[2, Infinity]^3)/840 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (41*S[3, Infinity]^2)/64 + (15*S[1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, -2, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (69*S[2, Infinity]^3)/112 - 
   (41*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (181*S[3, Infinity]^2)/128 - (177*S[-1, Infinity]*S[5, Infinity])/64 - 
   (7*S[-5, -1, Infinity])/4 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -1, 1, -2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + S[2, Infinity]^3/105 - 
   (45*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (191*S[3, Infinity]^2)/128 - (7*S[-5, -1, Infinity])/4 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], S[-1, 1, -3, -1, Infinity] -> 
  -S[-1, Infinity]^6/90 + (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (41*S[2, Infinity]^3)/210 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (9*S[3, Infinity]^2)/64 - (39*S[-1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity]/4 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 2, 1, -2, Infinity] -> (7*S[2, Infinity]^3)/5 + 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (165*S[3, Infinity]^2)/128 + (465*S[-1, Infinity]*S[5, Infinity])/64 - 
   (177*S[1, Infinity]*S[5, Infinity])/64 + (15*S[-5, -1, Infinity])/4, 
 S[1, -2, 1, -2, Infinity] -> (11*S[2, Infinity]^3)/280 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + S[3, Infinity]^2/128 + 
   (5*S[1, Infinity]*S[5, Infinity])/8, S[3, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (937*S[2, Infinity]^3)/840 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (35*S[3, Infinity]^2)/16 + (279*S[-1, Infinity]*S[5, Infinity])/64 + 
   5*S[-5, -1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, 2, 1, Infinity] -> (-75*S[2, Infinity]^3)/112 + 
   (65*S[3, Infinity]^2)/128 - (465*S[-1, Infinity]*S[5, Infinity])/64 - 
   (15*S[-5, -1, Infinity])/4, S[1, -2, 2, 1, Infinity] -> 
  S[-1, Infinity]^6/9 - (2*S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (67*S[2, Infinity]^3)/70 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[3, Infinity]^2)/128 + (155*S[-1, Infinity]*S[5, Infinity])/64 - 
   (89*S[1, Infinity]*S[5, Infinity])/64 + (5*S[-5, -1, Infinity])/4 - 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^6/45 + (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (3571*S[2, Infinity]^3)/
    1680 + (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (19*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (217*S[3, Infinity]^2)/128 + (103*S[-1, Infinity]*S[5, Infinity])/32 + 
   (15*S[-5, -1, Infinity])/4 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 2, 1, Infinity] -> 
  (-8*S[2, Infinity]^3)/7 + 2*S[3, Infinity]^2 + 
   2*S[1, Infinity]*S[5, Infinity], S[-1, -2, 2, 1, Infinity] -> 
  -S[-1, Infinity]^6/18 + (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (589*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (99*S[3, Infinity]^2)/32 - (89*S[-1, Infinity]*S[5, Infinity])/64 - 
   (7*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^6/18 + (2*S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (51*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (1153*S[2, Infinity]^3)/840 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/4 + 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (109*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/16 + 
   (103*S[1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity] + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 2, 1, Infinity] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (661*S[2, Infinity]^3)/560 - 
   (119*S[3, Infinity]^2)/64 + (125*S[-1, Infinity]*S[5, Infinity])/16 + 
   (19*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^6/15 + (13*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (919*S[2, Infinity]^3)/560 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (139*S[3, Infinity]^2)/32 - (1271*S[-1, Infinity]*S[5, Infinity])/64 - 
   (23*S[-5, -1, Infinity])/2 + 4*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 - 16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -3, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (29*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (29*S[3, Infinity]^2)/32 + (15*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 3, Infinity] -> (17*S[-1, Infinity]^6)/360 - 
   (S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (31*S[2, Infinity]^3)/28 - (S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (267*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/64 - 
   (151*S[1, Infinity]*S[5, Infinity])/64 - (11*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 2*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 3, 1, Infinity] -> -S[-1, Infinity]^6/40 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (4*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (43*S[2, Infinity]^3)/120 - 
   (67*S[3, Infinity]^2)/128 - (125*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], S[2, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^6/18 - (19*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (69*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (49*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (137*S[3, Infinity]^2)/128 + (31*S[-1, Infinity]*S[5, Infinity])/16 + 
   S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 3, Infinity] -> 
  -S[-1, Infinity]^6/40 + (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (201*S[2, Infinity]^3)/280 + (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (163*S[3, Infinity]^2)/128 - (151*S[-1, Infinity]*S[5, Infinity])/64 - 
   (5*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 3, 1, Infinity] -> (S[1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (53*S[2, Infinity]^3)/84 - S[3, Infinity]^2 - 
   (S[1, Infinity]*S[5, Infinity])/2, S[1, -3, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/12 + (S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (19*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[3, Infinity]^2)/8 - (93*S[-1, Infinity]*S[5, Infinity])/32 + 
   (15*S[1, Infinity]*S[5, Infinity])/32 - (3*S[-5, -1, Infinity])/2 + 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 2, 1, Infinity] -> 
  2*S[3, Infinity]^2, S[-2, 2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^6/18 + (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (411*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[3, Infinity]^2)/4 + (279*S[-1, Infinity]*S[5, Infinity])/64 + 
   (9*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 2, Infinity] -> 
  (7*S[-1, Infinity]^6)/90 - (2*S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (167*S[2, Infinity]^3)/840 - (7*S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[3, Infinity]^2)/2 - (259*S[1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 3, Infinity] -> 
  -S[-1, Infinity]^6/90 + (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (87*S[2, Infinity]^3)/140 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - (19*S[3, Infinity]^2)/32 + 
   (33*S[-1, Infinity]*S[5, Infinity])/32 + (7*S[-5, -1, Infinity])/4 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 3, 1, 1, Infinity] -> 
  S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - S[3, Infinity]^2/2 - 
   (S[1, Infinity]*S[5, Infinity])/2, S[-1, -1, -2, 2, Infinity] -> 
  (-7*S[-1, Infinity]^6)/180 + (131*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (4307*S[2, Infinity]^3)/1680 + (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (73*S[3, Infinity]^2)/16 - (331*S[-1, Infinity]*S[5, Infinity])/32 - 
   9*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 3, Infinity] -> 
  -(S[1, Infinity]^2*S[2, Infinity]^2)/20 - (31*S[2, Infinity]^3)/140 + 
   (S[1, Infinity]^3*S[3, Infinity])/6 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (5*S[3, Infinity]^2)/6 + 2*S[1, Infinity]*S[5, Infinity], 
 S[-1, 3, 1, 1, Infinity] -> S[-1, Infinity]^6/90 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + (23*S[2, Infinity]^3)/80 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (47*S[3, Infinity]^2)/64 - (125*S[-1, Infinity]*S[5, Infinity])/64 - 
   (5*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, -1, 2, Infinity] -> S[-1, Infinity]^6/30 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (103*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (7837*S[2, Infinity]^3)/1680 + (35*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (177*S[3, Infinity]^2)/64 - 
   (155*S[-1, Infinity]*S[5, Infinity])/64 - 8*S[-5, -1, Infinity] + 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, 2, Infinity] -> 
  -S[-1, Infinity]^6/15 + (5*S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (421*S[2, Infinity]^3)/70 - 
   (37*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (95*S[3, Infinity]^2)/8 + (547*S[-1, Infinity]*S[5, Infinity])/32 + 
   26*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 3, 1, Infinity] -> 
  S[-1, Infinity]^6/360 + (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (4*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (893*S[2, Infinity]^3)/1680 + (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (223*S[3, Infinity]^2)/128 + (527*S[-1, Infinity]*S[5, Infinity])/64 - 
   (311*S[1, Infinity]*S[5, Infinity])/64 + 3*S[-5, -1, Infinity] - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 2*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, -1, 2, Infinity] -> -S[-1, Infinity]^6/15 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (213*S[2, Infinity]^3)/70 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (77*S[3, Infinity]^2)/16 - (507*S[-1, Infinity]*S[5, Infinity])/32 - 
   (23*S[-5, -1, Infinity])/2 + 4*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 16*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -1, -1, 2, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (59*S[2, Infinity]^3)/84 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (7*S[3, Infinity]^2)/4 - 5*S[-5, -1, Infinity] + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], S[-1, -1, 3, 1, Infinity] -> 
  S[-1, Infinity]^6/90 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (1801*S[2, Infinity]^3)/1680 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (9*S[3, Infinity]^2)/16 - (311*S[-1, Infinity]*S[5, Infinity])/64 - 
   (21*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 2, -1, 2, Infinity] -> S[-1, Infinity]^6/15 - 
   (S[-1, Infinity]^5*S[1, Infinity])/5 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (1213*S[2, Infinity]^3)/560 - (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (81*S[3, Infinity]^2)/16 + (1271*S[-1, Infinity]*S[5, Infinity])/64 - 
   (507*S[1, Infinity]*S[5, Infinity])/32 + (25*S[-5, -1, Infinity])/2 - 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 2, Infinity] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (31*S[2, Infinity]^3)/28 + (25*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + S[3, Infinity]^2/16 - 
   (363*S[1, Infinity]*S[5, Infinity])/64 - (7*S[-5, -1, Infinity])/2 + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, 2, 1, 1, Infinity] -> (8*S[2, Infinity]^3)/7 - 2*S[3, Infinity]^2, 
 S[-2, 2, -1, 1, Infinity] -> -S[-1, Infinity]^6/180 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (79*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (109*S[2, Infinity]^3)/56 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (91*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (513*S[3, Infinity]^2)/128 - S[-5, -1, Infinity] + 
   6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -3, 1, Infinity] -> 
  (-7*S[-1, Infinity]^6)/180 + (S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/2 - 
   (5*S[2, Infinity]^3)/6 + (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (81*S[3, Infinity]^2)/64 + (85*S[1, Infinity]*S[5, Infinity])/16 + 
   3*S[-5, -1, Infinity] + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 3, Infinity] -> 
  (7*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (2*S[2, Infinity]^3)/5 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 + 2*S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] - (93*S[3, Infinity]^2)/128 + 
   (47*S[-1, Infinity]*S[5, Infinity])/8 + (11*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 3, -1, 1, Infinity] -> -S[-1, Infinity]^6/360 + 
   (S[-1, Infinity]^5*S[1, Infinity])/20 - (S[-1, Infinity]^4*S[2, Infinity])/
    12 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (49*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (97*S[2, Infinity]^3)/112 - (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (243*S[3, Infinity]^2)/128 - (527*S[-1, Infinity]*S[5, Infinity])/64 + 
   (27*S[1, Infinity]*S[5, Infinity])/8 - (9*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -3, 1, Infinity] -> 
  S[-1, Infinity]^6/360 + (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (403*S[2, Infinity]^3)/336 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - S[3, Infinity]^2/2 + 
   (15*S[-1, Infinity]*S[5, Infinity])/32 + (11*S[-5, -1, Infinity])/4 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 3, Infinity] -> 
  -S[-1, Infinity]^6/40 + (S[-1, Infinity]^5*S[1, Infinity])/20 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (79*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (49*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (19*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (691*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (101*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/4 + 
   (47*S[1, Infinity]*S[5, Infinity])/8 - (3*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 3, -1, 1, Infinity] -> S[-1, Infinity]^6/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (11*S[2, Infinity]^3)/80 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (169*S[3, Infinity]^2)/128 + (27*S[-1, Infinity]*S[5, Infinity])/8 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], S[2, 1, -2, 1, Infinity] -> 
  (-15*S[2, Infinity]^3)/28 - (9*S[3, Infinity]^2)/128 - 
   (93*S[-1, Infinity]*S[5, Infinity])/64 - (3*S[-5, -1, Infinity])/4, 
 S[-1, -2, -2, 1, Infinity] -> -S[-1, Infinity]^6/30 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (45*S[2, Infinity]^3)/56 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (17*S[3, Infinity]^2)/16 - (123*S[-1, Infinity]*S[5, Infinity])/16 - 
   (9*S[-5, -1, Infinity])/2 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, 2, Infinity] -> 
  -S[-1, Infinity]^6/20 + (S[-1, Infinity]^5*S[1, Infinity])/10 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (91*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (51*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (19*S[2, Infinity]^3)/84 - (21*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (145*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/32 + 
   (227*S[1, Infinity]*S[5, Infinity])/32 + (5*S[-5, -1, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, -2, 1, Infinity] -> S[-1, Infinity]^6/18 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (153*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (303*S[3, Infinity]^2)/128 + (33*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -2, 1, Infinity] -> 
  (303*S[2, Infinity]^3)/280 - (15*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (137*S[3, Infinity]^2)/64 - 
   (3*S[-5, -1, Infinity])/2, S[-1, -1, 2, 2, Infinity] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (491*S[2, Infinity]^3)/336 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (125*S[3, Infinity]^2)/64 + (227*S[-1, Infinity]*S[5, Infinity])/32 + 
   (23*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -2, 1, Infinity] -> 
  -S[-1, Infinity]^6/9 + (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (93*S[2, Infinity]^3)/80 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (13*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/64 + 
   (33*S[1, Infinity]*S[5, Infinity])/32 - (5*S[-5, -1, Infinity])/4 + 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -2, 1, Infinity] -> 
  (17*S[2, Infinity]^3)/56 + (15*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (115*S[3, Infinity]^2)/128 - 
   (29*S[1, Infinity]*S[5, Infinity])/32, S[2, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/20 + (33*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (1453*S[2, Infinity]^3)/560 - (63*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (5*S[3, Infinity]^2)/4 - 
   (31*S[-1, Infinity]*S[5, Infinity])/32 - 4*S[-5, -1, Infinity] - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 S[-1, -3, -1, 1, Infinity] -> (3*S[-1, Infinity]^6)/40 - 
   (11*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (149*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (27*S[2, Infinity]^3)/35 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (77*S[3, Infinity]^2)/32 + (15*S[-1, Infinity]*S[5, Infinity])/32 - 
   (17*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 3, Infinity] -> 
  -S[-1, Infinity]^6/180 + (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (199*S[2, Infinity]^3)/280 + (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (55*S[3, Infinity]^2)/64 + (159*S[1, Infinity]*S[5, Infinity])/64 + 
   (9*S[-5, -1, Infinity])/4 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, 2, Infinity] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (611*S[2, Infinity]^3)/420 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (5*S[3, Infinity]^2)/32 - (73*S[-1, Infinity]*S[5, Infinity])/64 - 
   (17*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, -2, -1, 1, Infinity] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (113*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (101*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (99*S[3, Infinity]^2)/32 + (7*S[-5, -1, Infinity])/4 - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 3, Infinity] -> 
  (-19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (71*S[2, Infinity]^3)/112 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (11*S[3, Infinity]^2)/16 - (15*S[-1, Infinity]*S[5, Infinity])/8, 
 S[1, 1, 2, 2, Infinity] -> (7*S[1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (443*S[2, Infinity]^3)/420 + 2*S[1, Infinity]*S[2, Infinity]*
    S[3, Infinity] - S[3, Infinity]^2 - (11*S[1, Infinity]*S[5, Infinity])/2, 
 S[1, -3, -1, 1, Infinity] -> -S[-1, Infinity]^6/360 - 
   (S[-1, Infinity]^5*S[1, Infinity])/60 + (S[-1, Infinity]^4*S[2, Infinity])/
    24 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (9*S[2, Infinity]^3)/28 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (81*S[3, Infinity]^2)/32 + (85*S[1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity]/2 + 2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 1, 2, Infinity] -> 
  (118*S[2, Infinity]^3)/105 - S[3, Infinity]^2, 
 S[-1, -2, 1, 2, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (261*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (119*S[3, Infinity]^2)/128 - (53*S[-1, Infinity]*S[5, Infinity])/64 - 
   (11*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, -3, 1, Infinity] -> S[-1, Infinity]^6/12 - 
   (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (11*S[1, Infinity]^2*S[2, Infinity]^2)/20 - (227*S[2, Infinity]^3)/168 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (9*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/32 - 
   (39*S[1, Infinity]*S[5, Infinity])/16 + (3*S[-5, -1, Infinity])/2 - 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, 2, Infinity] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (9*S[2, Infinity]^3)/28 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[3, Infinity]^2)/4 - (177*S[-1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[2, -1, 1, 2, Infinity] -> -S[-1, Infinity]^6/30 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (43*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (5777*S[2, Infinity]^3)/
    1680 + (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (133*S[3, Infinity]^2)/64 + (155*S[-1, Infinity]*S[5, Infinity])/64 + 
   9*S[-5, -1, Infinity] + (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -3, 1, Infinity] -> 
  -S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   S[-1, Infinity]^2*S[2, Infinity]^2 + (673*S[2, Infinity]^3)/420 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (179*S[3, Infinity]^2)/64 - (39*S[-1, Infinity]*S[5, Infinity])/16 - 
   4*S[-5, -1, Infinity] + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, 2, Infinity] -> 
  (-38*S[2, Infinity]^3)/35 - S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   S[3, Infinity]^2/2 + (9*S[1, Infinity]*S[5, Infinity])/2, 
 S[1, -2, 1, 2, Infinity] -> (61*S[2, Infinity]^3)/560 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (35*S[3, Infinity]^2)/128 + (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   (53*S[1, Infinity]*S[5, Infinity])/64 + (3*S[-5, -1, Infinity])/4, 
 S[3, -1, -1, 1, Infinity] -> S[-1, Infinity]^6/180 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (83*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (317*S[2, Infinity]^3)/210 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (9*S[3, Infinity]^2)/16 + (21*S[-5, -1, Infinity])/4 - 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], S[-4, -1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (1381*S[2, Infinity]^3)/1680 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (57*S[3, Infinity]^2)/32 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   4*S[-5, -1, Infinity], S[1, -3, -2, Infinity] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (13*S[2, Infinity]^3)/420 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (163*S[3, Infinity]^2)/64 + (83*S[1, Infinity]*S[5, Infinity])/16 + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-3, 2, -1, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]^2 - (11*S[2, Infinity]^3)/12 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (99*S[3, Infinity]^2)/64 + (5*S[-5, -1, Infinity])/2 - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[3, 2, -1, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (589*S[2, Infinity]^3)/336 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (41*S[3, Infinity]^2)/32 + (217*S[-1, Infinity]*S[5, Infinity])/32 + 
   5*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-4, 1, -1, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (115*S[2, Infinity]^3)/168 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (3*S[3, Infinity]^2)/8 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -2, -2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]^2 - (41*S[2, Infinity]^3)/140 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (91*S[3, Infinity]^2)/32 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -3, -2, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (89*S[2, Infinity]^3)/840 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (3*S[3, Infinity]^2)/4 + (11*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[4, 1, -1, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (149*S[2, Infinity]^3)/168 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (49*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-4, -1, 1, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (59*S[2, Infinity]^3)/420 - 
   S[3, Infinity]^2 + (5*S[-5, -1, Infinity])/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, 2, -3, Infinity] -> (13*S[2, Infinity]^3)/12 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (103*S[3, Infinity]^2)/64 + (217*S[-1, Infinity]*S[5, Infinity])/32 - 
   (41*S[1, Infinity]*S[5, Infinity])/32 + (7*S[-5, -1, Infinity])/2, 
 S[-2, 1, -3, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (37*S[2, Infinity]^3)/42 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[3, Infinity]^2)/8 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[4, -1, -1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (11*S[2, Infinity]^3)/42 - (9*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (53*S[3, Infinity]^2)/64 - 
   (3*S[-5, -1, Infinity])/2, S[-3, -1, -2, Infinity] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (591*S[2, Infinity]^3)/560 + 
   (9*S[3, Infinity]^2)/4 - (155*S[-1, Infinity]*S[5, Infinity])/16 - 
   6*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, 3, -1, Infinity] -> (-295*S[2, Infinity]^3)/336 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (55*S[3, Infinity]^2)/32 - (93*S[-1, Infinity]*S[5, Infinity])/32 - 
   5*S[-5, -1, Infinity], S[-1, 2, -3, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/6 - S[-1, Infinity]^2*S[2, Infinity]^2 - 
   (337*S[2, Infinity]^3)/420 - (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (69*S[3, Infinity]^2)/64 - 
   (41*S[-1, Infinity]*S[5, Infinity])/32 + (3*S[-5, -1, Infinity])/2 - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[4, 1, 1, Infinity] -> (89*S[2, Infinity]^3)/210 - S[3, Infinity]^2/2, 
 S[-3, -2, -1, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (403*S[2, Infinity]^3)/240 - 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (51*S[3, Infinity]^2)/32 - (155*S[-1, Infinity]*S[5, Infinity])/32 - 
   5*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, -1, -4, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (27*S[2, Infinity]^3)/35 - (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 + S[3, Infinity]^2/4 + 
   (91*S[1, Infinity]*S[5, Infinity])/32 + (5*S[-5, -1, Infinity])/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-2, -2, -2, Infinity] -> (-109*S[2, Infinity]^3)/560, 
 S[3, 2, 1, Infinity] -> (-143*S[2, Infinity]^3)/210 + 3*S[3, Infinity]^2, 
 S[-3, 1, -2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (9*S[2, Infinity]^3)/56 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (21*S[3, Infinity]^2)/16 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, -3, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (769*S[2, Infinity]^3)/840 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (17*S[3, Infinity]^2)/32 + (31*S[-1, Infinity]*S[5, Infinity])/16 + 
   S[-5, -1, Infinity] + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -1, -4, Infinity] -> (-7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (71*S[2, Infinity]^3)/112 + (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (3*S[3, Infinity]^2)/4 - 
   2*S[-1, Infinity]*S[5, Infinity], S[4, -1, 1, Infinity] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (607*S[2, Infinity]^3)/840 + 
   (15*S[3, Infinity]^2)/8 - (155*S[-1, Infinity]*S[5, Infinity])/32 - 
   4*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-4, 1, 1, Infinity] -> (113*S[2, Infinity]^3)/840 - 
   (5*S[3, Infinity]^2)/8 + (93*S[-1, Infinity]*S[5, Infinity])/32 + 
   (3*S[-5, -1, Infinity])/2, S[1, 4, -1, Infinity] -> 
  (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (43*S[2, Infinity]^3)/84 + (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 - (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (55*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/16 + 
   (17*S[1, Infinity]*S[5, Infinity])/16 + (5*S[-5, -1, Infinity])/2, 
 S[-2, 3, -1, Infinity] -> (-127*S[2, Infinity]^3)/336 - 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (15*S[3, Infinity]^2)/64 - (5*S[-5, -1, Infinity])/2, 
 S[3, -1, -2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]^2 - (183*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (29*S[3, Infinity]^2)/64 + 5*S[-5, -1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-3, -1, 2, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (327*S[2, Infinity]^3)/280 + 
   (11*S[3, Infinity]^2)/4 - 5*S[-5, -1, Infinity] + 
   6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, -2, -3, Infinity] -> (403*S[2, Infinity]^3)/840 + 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (89*S[3, Infinity]^2)/64 - (67*S[1, Infinity]*S[5, Infinity])/16, 
 S[-1, 4, -1, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (47*S[2, Infinity]^3)/105 + (15*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (21*S[3, Infinity]^2)/32 + 
   (17*S[-1, Infinity]*S[5, Infinity])/16 + 4*S[-5, -1, Infinity], 
 S[2, -1, -3, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]^2 + (139*S[2, Infinity]^3)/120 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (41*S[3, Infinity]^2)/32 - 5*S[-5, -1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-3, -2, 1, Infinity] -> (643*S[2, Infinity]^3)/840 - 
   (109*S[3, Infinity]^2)/64, S[1, 3, -2, Infinity] -> 
  (-59*S[2, Infinity]^3)/210 + (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    4 + (19*S[3, Infinity]^2)/32 - (93*S[-1, Infinity]*S[5, Infinity])/32 - 
   (51*S[1, Infinity]*S[5, Infinity])/32 - (3*S[-5, -1, Infinity])/2, 
 S[-2, -3, -1, Infinity] -> (25*S[2, Infinity]^3)/24 + 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (51*S[3, Infinity]^2)/32 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   5*S[-5, -1, Infinity], S[3, -2, -1, Infinity] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/6 + S[-1, Infinity]^2*
    S[2, Infinity]^2 + (13*S[2, Infinity]^3)/12 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (23*S[3, Infinity]^2)/32 - (3*S[-5, -1, Infinity])/2 + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-3, 1, 2, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (83*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (5*S[3, Infinity]^2)/4 - (31*S[-1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, -4, Infinity] -> (-7*S[1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (167*S[2, Infinity]^3)/280 - (S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 + (7*S[3, Infinity]^2)/8 - 
   (93*S[-1, Infinity]*S[5, Infinity])/32 + 
   (29*S[1, Infinity]*S[5, Infinity])/32 - (3*S[-5, -1, Infinity])/2, 
 S[-1, -2, -3, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (853*S[2, Infinity]^3)/1680 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (15*S[3, Infinity]^2)/8 + (21*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, 2, -2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (1943*S[2, Infinity]^3)/560 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (17*S[3, Infinity]^2)/16 - (31*S[-1, Infinity]*S[5, Infinity])/4 - 
   4*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-2, 2, -2, Infinity] -> (-5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (45*S[2, Infinity]^3)/16 + 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (63*S[3, Infinity]^2)/16 + 10*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -3, -1, Infinity] -> (389*S[2, Infinity]^3)/840 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (59*S[3, Infinity]^2)/64 + (7*S[-5, -1, Infinity])/2, 
 S[-1, 3, -2, Infinity] -> (121*S[2, Infinity]^3)/840 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (33*S[3, Infinity]^2)/64 - (51*S[-1, Infinity]*S[5, Infinity])/32 - 
   (7*S[-5, -1, Infinity])/2, S[3, 1, -2, Infinity] -> 
  (-27*S[2, Infinity]^3)/560 - (31*S[3, Infinity]^2)/64 + 
   (31*S[-1, Infinity]*S[5, Infinity])/16 + S[-5, -1, Infinity], 
 S[-2, -1, -3, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (559*S[2, Infinity]^3)/336 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (15*S[3, Infinity]^2)/8 + (155*S[-1, Infinity]*S[5, Infinity])/16 + 
   4*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, -3, 2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (179*S[2, Infinity]^3)/420 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (121*S[3, Infinity]^2)/64 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (11*S[1, Infinity]*S[5, Infinity])/32 + (5*S[-5, -1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], S[-1, 1, -4, Infinity] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (22*S[2, Infinity]^3)/35 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + (9*S[3, Infinity]^2)/8 + 
   (29*S[-1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -2, 2, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/3 + 
   2*S[-1, Infinity]^2*S[2, Infinity]^2 + (73*S[2, Infinity]^3)/35 + 
   7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (35*S[3, Infinity]^2)/16 + 8*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -4, -1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (491*S[2, Infinity]^3)/840 - (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 + (33*S[3, Infinity]^2)/32 - 
   (59*S[-1, Infinity]*S[5, Infinity])/32 - 4*S[-5, -1, Infinity], 
 S[1, 2, 3, Infinity] -> (-29*S[2, Infinity]^3)/30 - 
   2*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + 2*S[3, Infinity]^2 + 
   (11*S[1, Infinity]*S[5, Infinity])/2, S[1, -4, -1, Infinity] -> 
  (-3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (71*S[2, Infinity]^3)/840 - (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 + (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   S[3, Infinity]^2/8 - (59*S[1, Infinity]*S[5, Infinity])/32 - 
   (3*S[-5, -1, Infinity])/2, S[2, 3, 1, Infinity] -> 
  (29*S[2, Infinity]^3)/21 - 3*S[3, Infinity]^2, 
 S[-3, 2, 1, Infinity] -> (-683*S[2, Infinity]^3)/840 + 
   (59*S[3, Infinity]^2)/64 - (217*S[-1, Infinity]*S[5, Infinity])/32 - 
   (7*S[-5, -1, Infinity])/2, S[1, -1, 4, Infinity] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (123*S[2, Infinity]^3)/140 + (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (15*S[3, Infinity]^2)/16 + 
   (155*S[-1, Infinity]*S[5, Infinity])/32 - 2*S[1, Infinity]*
    S[5, Infinity] + S[-5, -1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], S[-1, -3, 2, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (179*S[2, Infinity]^3)/840 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (5*S[3, Infinity]^2)/64 + (11*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 3, Infinity] -> (17*S[2, Infinity]^3)/42 + S[3, Infinity]^2/2, 
 S[-2, 1, 3, Infinity] -> (-493*S[2, Infinity]^3)/1680 + 
   (7*S[3, Infinity]^2)/64 - (31*S[-1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity], S[1, 4, 1, Infinity] -> 
  (-11*S[2, Infinity]^3)/21 - S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (3*S[3, Infinity]^2)/2 + 3*S[1, Infinity]*S[5, Infinity], 
 S[-1, 2, 3, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (17*S[2, Infinity]^3)/1680 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + (41*S[3, Infinity]^2)/32 - 
   (41*S[-1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[3, -1, 2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (27*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 4*S[3, Infinity]^2 + 
   (155*S[-1, Infinity]*S[5, Infinity])/16 + 6*S[-5, -1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-2, -2, 2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (1003*S[2, Infinity]^3)/560 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (35*S[3, Infinity]^2)/32 - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, -2, 3, Infinity] -> (-1033*S[2, Infinity]^3)/1680 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (69*S[3, Infinity]^2)/64 - (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (21*S[1, Infinity]*S[5, Infinity])/32 - (5*S[-5, -1, Infinity])/2, 
 S[-1, -1, 4, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (17*S[2, Infinity]^3)/70 - (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 - (11*S[3, Infinity]^2)/64 - 
   2*S[-1, Infinity]*S[5, Infinity] - (5*S[-5, -1, Infinity])/2, 
 S[2, -1, 3, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (1811*S[2, Infinity]^3)/840 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (57*S[3, Infinity]^2)/32 - (155*S[-1, Infinity]*S[5, Infinity])/16 - 
   4*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-2, 3, 1, Infinity] -> (23*S[2, Infinity]^3)/120 - 
   (23*S[3, Infinity]^2)/32 + (93*S[-1, Infinity]*S[5, Infinity])/32 + 
   (3*S[-5, -1, Infinity])/2, S[1, 3, 2, Infinity] -> 
  (17*S[2, Infinity]^3)/42 + 3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (3*S[3, Infinity]^2)/2 - (9*S[1, Infinity]*S[5, Infinity])/2, 
 S[-1, 4, 1, Infinity] -> (-179*S[2, Infinity]^3)/840 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (11*S[3, Infinity]^2)/64 + (17*S[-1, Infinity]*S[5, Infinity])/16 + 
   (3*S[-5, -1, Infinity])/2, S[3, -2, 1, Infinity] -> 
  (677*S[2, Infinity]^3)/1680 - (85*S[3, Infinity]^2)/64 + 
   (155*S[-1, Infinity]*S[5, Infinity])/32 + (5*S[-5, -1, Infinity])/2, 
 S[-2, -3, 1, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (193*S[2, Infinity]^3)/420 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (179*S[3, Infinity]^2)/64 + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 4, Infinity] -> (S[1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (37*S[2, Infinity]^3)/70 + S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   S[3, Infinity]^2 - 2*S[1, Infinity]*S[5, Infinity], 
 S[-1, -2, 3, Infinity] -> -(S[-1, Infinity]^4*S[2, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]^2 + (503*S[2, Infinity]^3)/420 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (59*S[3, Infinity]^2)/32 + (21*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, 2, 2, Infinity] -> (31*S[2, Infinity]^3)/70, 
 S[-2, 2, 2, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (37*S[2, Infinity]^3)/80 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (13*S[3, Infinity]^2)/4 + (31*S[-1, Infinity]*S[5, Infinity])/4 + 
   4*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -3, 1, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (253*S[2, Infinity]^3)/120 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (71*S[3, Infinity]^2)/64 - (155*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, 3, 2, Infinity] -> (-493*S[2, Infinity]^3)/1680 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - S[3, Infinity]^2/4 - 
   (51*S[-1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity], 
 S[3, 1, 2, Infinity] -> (11*S[2, Infinity]^3)/35, 
 S[-2, -1, 3, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]^2 - (1279*S[2, Infinity]^3)/1680 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (53*S[3, Infinity]^2)/64 + 5*S[-5, -1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, 1, 4, Infinity] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (59*S[2, Infinity]^3)/280 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (65*S[3, Infinity]^2)/64 + (29*S[-1, Infinity]*S[5, Infinity])/32 + 
   (3*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -4, 1, Infinity] -> (53*S[2, Infinity]^3)/168 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - (5*S[3, Infinity]^2)/8 - 
   (59*S[-1, Infinity]*S[5, Infinity])/32 - (5*S[-5, -1, Infinity])/2, 
 S[1, -4, 1, Infinity] -> (11*S[2, Infinity]^3)/168 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - S[3, Infinity]^2/4 - 
   (59*S[1, Infinity]*S[5, Infinity])/32, S[3, -3, Infinity] -> 
  (377*S[2, Infinity]^3)/280 - (105*S[3, Infinity]^2)/32 + 
   (93*S[-1, Infinity]*S[5, Infinity])/8 + 6*S[-5, -1, Infinity], 
 S[-2, -4, Infinity] -> (-47*S[2, Infinity]^3)/840 + (3*S[3, Infinity]^2)/4, 
 S[5, -1, Infinity] -> (7*S[2, Infinity]^3)/40 - (9*S[3, Infinity]^2)/32 + 
   (31*S[-1, Infinity]*S[5, Infinity])/16, S[-4, -2, Infinity] -> 
  (193*S[2, Infinity]^3)/420 - (3*S[3, Infinity]^2)/4, 
 S[4, -2, Infinity] -> (-1069*S[2, Infinity]^3)/840 + 
   (33*S[3, Infinity]^2)/16 - (31*S[-1, Infinity]*S[5, Infinity])/4 - 
   4*S[-5, -1, Infinity], S[1, -5, Infinity] -> 
  (23*S[2, Infinity]^3)/70 - (3*S[3, Infinity]^2)/4 + 
   (31*S[-1, Infinity]*S[5, Infinity])/16 - 
   (15*S[1, Infinity]*S[5, Infinity])/16 + S[-5, -1, Infinity], 
 S[5, 1, Infinity] -> (2*S[2, Infinity]^3)/5 - S[3, Infinity]^2/2, 
 S[-5, 1, Infinity] -> (-11*S[2, Infinity]^3)/20 + (3*S[3, Infinity]^2)/4 - 
   (31*S[-1, Infinity]*S[5, Infinity])/16 - S[-5, -1, Infinity], 
 S[3, 3, Infinity] -> (4*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2, 
 S[-1, -5, Infinity] -> (8*S[2, Infinity]^3)/35 - 
   (15*S[-1, Infinity]*S[5, Infinity])/16 - S[-5, -1, Infinity], 
 S[4, 2, Infinity] -> (-8*S[2, Infinity]^3)/105 + S[3, Infinity]^2, 
 S[-3, -3, Infinity] -> (4*S[2, Infinity]^3)/35 + (9*S[3, Infinity]^2)/32, 
 S[2, -4, Infinity] -> (-1223*S[2, Infinity]^3)/840 + 
   (9*S[3, Infinity]^2)/4 - (31*S[-1, Infinity]*S[5, Infinity])/4 - 
   4*S[-5, -1, Infinity], S[-4, 2, Infinity] -> 
  (743*S[2, Infinity]^3)/840 - (9*S[3, Infinity]^2)/4 + 
   (31*S[-1, Infinity]*S[5, Infinity])/4 + 4*S[-5, -1, Infinity], 
 S[-2, 4, Infinity] -> (143*S[2, Infinity]^3)/168 - 
   (33*S[3, Infinity]^2)/16 + (31*S[-1, Infinity]*S[5, Infinity])/4 + 
   4*S[-5, -1, Infinity], S[-3, 3, Infinity] -> 
  (-439*S[2, Infinity]^3)/280 + (81*S[3, Infinity]^2)/32 - 
   (93*S[-1, Infinity]*S[5, Infinity])/8 - 6*S[-5, -1, Infinity], 
 S[1, 5, Infinity] -> (-6*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2 + 
   S[1, Infinity]*S[5, Infinity], S[-1, 5, Infinity] -> 
  (-111*S[2, Infinity]^3)/280 + (9*S[3, Infinity]^2)/32 - 
   (15*S[-1, Infinity]*S[5, Infinity])/16, S[2, 4, Infinity] -> 
  (74*S[2, Infinity]^3)/105 - S[3, Infinity]^2, 
 S[-6, Infinity] -> (-31*S[2, Infinity]^3)/140, 
 S[6, Infinity] -> (8*S[2, Infinity]^3)/35, H[-1, 1] -> -S[-1, Infinity], 
 H[0, 1] -> 0, H[1, 1] -> S[1, Infinity], 
 H[-1, -1, 1] -> S[-1, Infinity]^2/2, H[-1, 0, 1] -> -S[2, Infinity]/2, 
 H[-1, 1, 1] -> -S[-1, Infinity]^2/2 + S[2, Infinity]/2, 
 H[0, -1, 1] -> S[2, Infinity]/2, H[0, 0, 1] -> 0, 
 H[0, 1, 1] -> S[2, Infinity], H[1, -1, 1] -> S[-1, Infinity]^2/2 - 
   S[-1, Infinity]*S[1, Infinity] - S[2, Infinity]/2, 
 H[1, 0, 1] -> -S[2, Infinity], H[1, 1, 1] -> 
  S[1, Infinity]^2/2 - S[2, Infinity]/2, H[-1, -1, -1, 1] -> 
  -S[-1, Infinity]^3/6, H[-1, -1, 0, 1] -> 
  (S[-1, Infinity]*S[2, Infinity])/2 + S[3, Infinity]/8, 
 H[-1, -1, 1, 1] -> S[-1, Infinity]^3/6 + S[3, Infinity]/8, 
 H[-1, 0, -1, 1] -> -(S[-1, Infinity]*S[2, Infinity])/2 - S[3, Infinity]/4, 
 H[-1, 0, 0, 1] -> (3*S[3, Infinity])/4, H[-1, 0, 1, 1] -> 
  -(S[-1, Infinity]*S[2, Infinity]) - (5*S[3, Infinity])/8, 
 H[-1, 1, -1, 1] -> S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[2, Infinity])/
    2 - S[3, Infinity]/4, H[-1, 1, 0, 1] -> 
  -(S[-1, Infinity]*S[2, Infinity])/2 - S[3, Infinity], 
 H[-1, 1, 1, 1] -> -S[-1, Infinity]^3/6 + (S[-1, Infinity]*S[2, Infinity])/
    2 + (7*S[3, Infinity])/8, H[0, -1, -1, 1] -> S[3, Infinity]/8, 
 H[0, -1, 0, 1] -> (-3*S[3, Infinity])/2, 
 H[0, -1, 1, 1] -> (3*S[-1, Infinity]*S[2, Infinity])/2 + 
   (13*S[3, Infinity])/8, H[0, 0, -1, 1] -> (3*S[3, Infinity])/4, 
 H[0, 0, 0, 1] -> 0, H[0, 0, 1, 1] -> S[3, Infinity], 
 H[0, 1, -1, 1] -> (-3*S[-1, Infinity]*S[2, Infinity])/2 - S[3, Infinity], 
 H[0, 1, 0, 1] -> -2*S[3, Infinity], H[0, 1, 1, 1] -> S[3, Infinity], 
 H[1, -1, -1, 1] -> -S[-1, Infinity]^3/3 + (S[-1, Infinity]^2*S[1, Infinity])/
    2 + (S[-1, Infinity]*S[2, Infinity])/2 + S[3, Infinity]/8, 
 H[1, -1, 0, 1] -> (3*S[-1, Infinity]*S[2, Infinity])/2 - 
   (S[1, Infinity]*S[2, Infinity])/2 + (13*S[3, Infinity])/8, 
 H[1, -1, 1, 1] -> S[-1, Infinity]^3/3 - (S[-1, Infinity]^2*S[1, Infinity])/
    2 - S[-1, Infinity]*S[2, Infinity] + (S[1, Infinity]*S[2, Infinity])/2 - 
   (7*S[3, Infinity])/4, H[1, 0, -1, 1] -> 
  (S[1, Infinity]*S[2, Infinity])/2 - (5*S[3, Infinity])/8, 
 H[1, 0, 0, 1] -> S[3, Infinity], H[1, 0, 1, 1] -> 
  S[1, Infinity]*S[2, Infinity] - 2*S[3, Infinity], 
 H[1, 1, -1, 1] -> -S[-1, Infinity]^3/6 + (S[-1, Infinity]^2*S[1, Infinity])/
    2 - (S[-1, Infinity]*S[1, Infinity]^2)/2 + 
   S[-1, Infinity]*S[2, Infinity] - (S[1, Infinity]*S[2, Infinity])/2 + 
   (7*S[3, Infinity])/8, H[1, 1, 0, 1] -> -(S[1, Infinity]*S[2, Infinity]) + 
   S[3, Infinity], H[1, 1, 1, 1] -> S[1, Infinity]^3/6 - 
   (S[1, Infinity]*S[2, Infinity])/2 + S[3, Infinity]/3, 
 H[-1, -1, -1, -1, 1] -> S[-1, Infinity]^4/24, 
 H[-1, -1, -1, 0, 1] -> S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (2*S[2, Infinity]^2)/5 - 
   S[-1, Infinity]*S[3, Infinity] - S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, -1, 1, 1] -> -S[-1, Infinity]^4/12 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + (2*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]*S[3, Infinity])/8 + S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, -1, 1] -> -S[-1, Infinity]^4/8 + 
   S[-1, Infinity]^2*S[2, Infinity] + (6*S[2, Infinity]^2)/5 + 
   (23*S[-1, Infinity]*S[3, Infinity])/8 + 3*S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 0, 1] -> -S[-1, Infinity]^4/12 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (3*S[2, Infinity]^2)/4 + 
   S[-1, Infinity]*S[3, Infinity] + 2*S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 1, 1] -> (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (3*S[2, Infinity]^2)/40 + (5*S[-1, Infinity]*S[3, Infinity])/8, 
 H[-1, -1, 1, -1, 1] -> S[-1, Infinity]^4/12 - 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (6*S[2, Infinity]^2)/5 - 
   (11*S[-1, Infinity]*S[3, Infinity])/4 - 3*S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 0, 1] -> S[-1, Infinity]^4/12 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (7*S[2, Infinity]^2)/8 - 
   (13*S[-1, Infinity]*S[3, Infinity])/8 - 2*S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 1, 1] -> S[-1, Infinity]^4/24 + S[2, Infinity]^2/20 + 
   (S[-1, Infinity]*S[3, Infinity])/8, H[-1, 0, -1, -1, 1] -> 
  S[-1, Infinity]^4/8 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (6*S[2, Infinity]^2)/5 - (11*S[-1, Infinity]*S[3, Infinity])/4 - 
   3*S[-1, 1, 1, 1, Infinity], H[-1, 0, -1, 0, 1] -> 
  S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] - 
   (11*S[2, Infinity]^2)/8 - 2*S[-1, Infinity]*S[3, Infinity] - 
   4*S[-1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, 1] -> 
  -S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (5*S[2, Infinity]^2)/4 + S[-1, Infinity]*S[3, Infinity] + 
   4*S[-1, 1, 1, 1, Infinity], H[-1, 0, 0, -1, 1] -> 
  -S[2, Infinity]^2/8 - (3*S[-1, Infinity]*S[3, Infinity])/4, 
 H[-1, 0, 0, 0, 1] -> (-7*S[2, Infinity]^2)/20, 
 H[-1, 0, 0, 1, 1] -> -S[-1, Infinity]^4/12 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (3*S[2, Infinity]^2)/5 + 
   (3*S[-1, Infinity]*S[3, Infinity])/4 + 2*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, -1, 1] -> S[-1, Infinity]^4/6 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (7*S[2, Infinity]^2)/5 - 
   (13*S[-1, Infinity]*S[3, Infinity])/8 - 4*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, 0, 1] -> S[-1, Infinity]^4/6 - S[-1, Infinity]^2*
    S[2, Infinity] - (51*S[2, Infinity]^2)/40 - 
   (3*S[-1, Infinity]*S[3, Infinity])/2 - 4*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, 1, 1] -> -S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/8 - 
   (S[-1, Infinity]*S[3, Infinity])/8 + S[-1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, -1, 1] -> -S[-1, Infinity]^4/6 + 
   S[-1, Infinity]^2*S[2, Infinity] + (6*S[2, Infinity]^2)/5 + 
   (23*S[-1, Infinity]*S[3, Infinity])/8 + 3*S[-1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, 0, 1] -> (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/10 + S[-1, Infinity]*S[3, Infinity], 
 H[-1, 1, -1, 1, 1] -> S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/40 - 
   (S[-1, Infinity]*S[3, Infinity])/4, H[-1, 1, 0, -1, 1] -> 
  -S[-1, Infinity]^4/6 + (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (33*S[2, Infinity]^2)/20 + (13*S[-1, Infinity]*S[3, Infinity])/4 + 
   4*S[-1, 1, 1, 1, Infinity], H[-1, 1, 0, 0, 1] -> 
  (19*S[2, Infinity]^2)/40 + (3*S[-1, Infinity]*S[3, Infinity])/4, 
 H[-1, 1, 0, 1, 1] -> -S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + (19*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]*S[3, Infinity])/4 + S[-1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, -1, 1] -> S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - S[2, Infinity]^2/8 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8, H[-1, 1, 1, 0, 1] -> 
  -S[-1, Infinity]^4/24 - S[2, Infinity]^2/20 - 
   (S[-1, Infinity]*S[3, Infinity])/8 + S[-1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, 1, 1] -> -S[-1, 1, 1, 1, Infinity], 
 H[0, -1, -1, -1, 1] -> -S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + (2*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]*S[3, Infinity])/8 + S[-1, 1, 1, 1, Infinity], 
 H[0, -1, -1, 0, 1] -> -S[2, Infinity]^2/8, H[0, -1, -1, 1, 1] -> 
  S[-1, Infinity]^4/12 + (S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (9*S[2, Infinity]^2)/20 - 2*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 0, -1, 1] -> -S[-1, Infinity]^4/6 + 
   S[-1, Infinity]^2*S[2, Infinity] + (13*S[2, Infinity]^2)/8 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 4*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 0, 0, 1] -> (21*S[2, Infinity]^2)/20, 
 H[0, -1, 0, 1, 1] -> (3*S[2, Infinity]^2)/40, 
 H[0, -1, 1, -1, 1] -> (-3*S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (7*S[2, Infinity]^2)/20 - (21*S[-1, Infinity]*S[3, Infinity])/8, 
 H[0, -1, 1, 0, 1] -> -S[-1, Infinity]^4/6 + S[-1, Infinity]^2*
    S[2, Infinity] + (13*S[2, Infinity]^2)/40 + 4*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 1, 1, 1] -> S[-1, Infinity]^4/8 - (11*S[2, Infinity]^2)/20 - 
   3*S[-1, 1, 1, 1, Infinity], H[0, 0, -1, -1, 1] -> 
  S[-1, Infinity]^4/12 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (3*S[2, Infinity]^2)/4 - (7*S[-1, Infinity]*S[3, Infinity])/4 - 
   2*S[-1, 1, 1, 1, Infinity], H[0, 0, -1, 0, 1] -> 
  (-21*S[2, Infinity]^2)/20, H[0, 0, -1, 1, 1] -> 
  S[-1, Infinity]^4/12 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   S[2, Infinity]^2/5 - 2*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, 0, -1, 1] -> (7*S[2, Infinity]^2)/20, H[0, 0, 0, 0, 1] -> 0, 
 H[0, 0, 0, 1, 1] -> (2*S[2, Infinity]^2)/5, 
 H[0, 0, 1, -1, 1] -> (-19*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4, H[0, 0, 1, 0, 1] -> 
  (-6*S[2, Infinity]^2)/5, H[0, 0, 1, 1, 1] -> S[2, Infinity]^2/10, 
 H[0, 1, -1, -1, 1] -> -S[-1, Infinity]^4/12 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/4 + (7*S[2, Infinity]^2)/8 + 
   (21*S[-1, Infinity]*S[3, Infinity])/8 + 2*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, -1, 0, 1] -> S[-1, Infinity]^4/6 - S[-1, Infinity]^2*
    S[2, Infinity] - (33*S[2, Infinity]^2)/40 - 4*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, -1, 1, 1] -> -S[-1, Infinity]^4/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (7*S[2, Infinity]^2)/8 + 
   3*S[-1, 1, 1, 1, Infinity], H[0, 1, 0, -1, 1] -> 
  -S[-1, Infinity]^4/6 + S[-1, Infinity]^2*S[2, Infinity] + 
   (71*S[2, Infinity]^2)/40 + (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   4*S[-1, 1, 1, 1, Infinity], H[0, 1, 0, 0, 1] -> (6*S[2, Infinity]^2)/5, 
 H[0, 1, 0, 1, 1] -> (3*S[2, Infinity]^2)/10, 
 H[0, 1, 1, -1, 1] -> S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (9*S[2, Infinity]^2)/20 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8 - S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 1, 0, 1] -> -S[2, Infinity]^2/2, H[0, 1, 1, 1, 1] -> 
  (2*S[2, Infinity]^2)/5, H[1, -1, -1, -1, 1] -> 
  S[-1, Infinity]^4/6 - (S[-1, Infinity]^3*S[1, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (2*S[2, Infinity]^2)/5 - 
   S[-1, Infinity]*S[3, Infinity] - S[-1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 0, 1] -> -S[-1, Infinity]^4/12 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (7*S[2, Infinity]^2)/10 + (S[1, Infinity]*S[3, Infinity])/8 + 
   2*S[-1, 1, 1, 1, Infinity], H[1, -1, -1, 1, 1] -> 
  -S[-1, Infinity]^4/8 + (S[-1, Infinity]^3*S[1, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - S[2, Infinity]^2/8 + 
   (S[1, Infinity]*S[3, Infinity])/8, H[1, -1, 0, -1, 1] -> 
  S[-1, Infinity]^4/6 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 - 
   (3*S[2, Infinity]^2)/2 - (21*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[3, Infinity])/4 - 4*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 0, 1] -> -S[-1, Infinity]^4/12 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + S[2, Infinity]^2/5 + 
   (3*S[1, Infinity]*S[3, Infinity])/4 + 2*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 1, 1] -> S[-1, Infinity]^4/8 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - S[-1, Infinity]*S[1, Infinity]*
    S[2, Infinity] - (29*S[2, Infinity]^2)/40 - 
   (5*S[1, Infinity]*S[3, Infinity])/8 - 3*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, 1, -1, 1] -> -S[-1, Infinity]^4/8 + 
   (S[-1, Infinity]^3*S[1, Infinity])/6 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (9*S[2, Infinity]^2)/40 + 2*S[-1, Infinity]*S[3, Infinity] - 
   (S[1, Infinity]*S[3, Infinity])/4, H[1, -1, 1, 0, 1] -> 
  S[-1, Infinity]^4/8 + (S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 - 
   (3*S[2, Infinity]^2)/8 - S[1, Infinity]*S[3, Infinity] - 
   3*S[-1, 1, 1, 1, Infinity], H[1, -1, 1, 1, 1] -> 
  -(S[-1, Infinity]^3*S[1, Infinity])/6 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (7*S[1, Infinity]*S[3, Infinity])/8 + 3*S[-1, 1, 1, 1, Infinity], 
 H[1, 0, -1, -1, 1] -> (-3*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]*S[3, Infinity])/8, H[1, 0, -1, 0, 1] -> 
  (17*S[2, Infinity]^2)/40 - (3*S[1, Infinity]*S[3, Infinity])/2, 
 H[1, 0, -1, 1, 1] -> -S[-1, Infinity]^4/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   (9*S[2, Infinity]^2)/40 + (13*S[1, Infinity]*S[3, Infinity])/8 + 
   3*S[-1, 1, 1, 1, Infinity], H[1, 0, 0, -1, 1] -> 
  S[-1, Infinity]^4/12 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (11*S[2, Infinity]^2)/10 - (7*S[-1, Infinity]*S[3, Infinity])/4 + 
   (3*S[1, Infinity]*S[3, Infinity])/4 - 2*S[-1, 1, 1, 1, Infinity], 
 H[1, 0, 0, 0, 1] -> (-2*S[2, Infinity]^2)/5, 
 H[1, 0, 0, 1, 1] -> -S[2, Infinity]^2/2 + S[1, Infinity]*S[3, Infinity], 
 H[1, 0, 1, -1, 1] -> S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 + 
   S[2, Infinity]^2/40 + (7*S[-1, Infinity]*S[3, Infinity])/4 - 
   S[1, Infinity]*S[3, Infinity] - S[-1, 1, 1, 1, Infinity], 
 H[1, 0, 1, 0, 1] -> (7*S[2, Infinity]^2)/10 - 
   2*S[1, Infinity]*S[3, Infinity], H[1, 0, 1, 1, 1] -> 
  (-6*S[2, Infinity]^2)/5 + S[1, Infinity]*S[3, Infinity], 
 H[1, 1, -1, -1, 1] -> S[-1, Infinity]^4/8 - 
   (S[-1, Infinity]^3*S[1, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2)/4 - 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 - S[2, Infinity]^2/20 - 
   S[-1, Infinity]*S[3, Infinity] + (S[1, Infinity]*S[3, Infinity])/8, 
 H[1, 1, -1, 0, 1] -> -S[-1, Infinity]^4/8 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity])/2 - 
   (S[1, Infinity]^2*S[2, Infinity])/4 + (4*S[2, Infinity]^2)/5 + 
   (13*S[1, Infinity]*S[3, Infinity])/8 + 3*S[-1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 1, 1] -> (S[-1, Infinity]^3*S[1, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2)/4 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - S[-1, Infinity]*S[1, Infinity]*
    S[2, Infinity] + (S[1, Infinity]^2*S[2, Infinity])/4 - 
   S[2, Infinity]^2/4 - (7*S[1, Infinity]*S[3, Infinity])/4 - 
   3*S[-1, 1, 1, 1, Infinity], H[1, 1, 0, -1, 1] -> 
  S[-1, Infinity]^4/24 - (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (S[1, Infinity]^2*S[2, Infinity])/4 - (3*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8 - (5*S[1, Infinity]*S[3, Infinity])/
    8 - S[-1, 1, 1, 1, Infinity], H[1, 1, 0, 0, 1] -> 
  -S[2, Infinity]^2/10 + S[1, Infinity]*S[3, Infinity], 
 H[1, 1, 0, 1, 1] -> (S[1, Infinity]^2*S[2, Infinity])/2 + 
   (7*S[2, Infinity]^2)/10 - 2*S[1, Infinity]*S[3, Infinity], 
 H[1, 1, 1, -1, 1] -> -(S[-1, Infinity]^3*S[1, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2)/4 - 
   (S[-1, Infinity]*S[1, Infinity]^3)/6 - (S[-1, Infinity]^2*S[2, Infinity])/
    4 + S[-1, Infinity]*S[1, Infinity]*S[2, Infinity] - 
   (S[1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/4 - 
   (S[-1, Infinity]*S[3, Infinity])/3 + (7*S[1, Infinity]*S[3, Infinity])/8 + 
   S[-1, 1, 1, 1, Infinity], H[1, 1, 1, 0, 1] -> 
  -(S[1, Infinity]^2*S[2, Infinity])/2 + S[2, Infinity]^2/10 + 
   S[1, Infinity]*S[3, Infinity], H[1, 1, 1, 1, 1] -> 
  S[1, Infinity]^4/24 - (S[1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/40 + (S[1, Infinity]*S[3, Infinity])/3, 
 H[-1, -1, -1, -1, -1, 1] -> -S[-1, Infinity]^5/120, 
 H[-1, -1, -1, -1, 0, 1] -> -S[-1, Infinity]^5/120 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (S[-1, Infinity]^2*S[3, Infinity])/2 + S[5, Infinity] + 
   S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, -1, 1, 1] -> 
  S[-1, Infinity]^5/24 - (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + S[5, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, -1, 0, -1, 1] -> -S[-1, Infinity]^5/120 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 - S[-1, Infinity]^2*
    S[3, Infinity] - 4*S[5, Infinity] + S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, -1, 0, 0, 1] -> S[-1, Infinity]^5/60 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
   (S[-1, Infinity]^2*S[3, Infinity])/2 - (S[2, Infinity]*S[3, Infinity])/2 - 
   (33*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, -1, 0, 1, 1] -> S[-1, Infinity]^5/30 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[-1, Infinity]^2*S[3, Infinity])/4 + (7*S[2, Infinity]*S[3, Infinity])/
    16 + S[5, Infinity]/8 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 1, -1, 1] -> 
  -S[-1, Infinity]^5/12 + (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 - 4*S[5, Infinity] + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 1, 0, 1] -> 
  (-11*S[-1, Infinity]^5)/120 + (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (13*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 - (39*S[5, Infinity])/8 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 1, 1, 1] -> 
  -S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - (S[2, Infinity]*S[3, Infinity])/
    2 + (63*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, -1, -1, 1] -> (3*S[-1, Infinity]^5)/40 - 
   (S[-1, Infinity]^3*S[2, Infinity])/4 + 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (S[-1, Infinity]^2*S[3, Infinity])/16 + 6*S[5, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, -1, 0, 1] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/8 + S[-1, Infinity]^2*
    S[3, Infinity] + (23*S[2, Infinity]*S[3, Infinity])/16 + 
   (73*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, -1, 1, 1] -> S[-1, Infinity]^5/24 + 
   (S[-1, Infinity]^3*S[2, Infinity])/2 + (S[-1, Infinity]*S[2, Infinity]^2)/
    40 + (13*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 + (87*S[5, Infinity])/32 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity], H[-1, -1, 0, 0, -1, 1] -> 
  S[-1, Infinity]^5/15 - (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/8 - (S[-1, Infinity]^2*S[3, Infinity])/
    2 + (S[2, Infinity]*S[3, Infinity])/16 + (125*S[5, Infinity])/64 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 0, 0, 1] -> 
  (7*S[-1, Infinity]*S[2, Infinity]^2)/20 + (S[2, Infinity]*S[3, Infinity])/
    2 - (29*S[5, Infinity])/32, H[-1, -1, 0, 0, 1, 1] -> 
  -S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (S[-1, Infinity]^2*S[3, Infinity])/2 - (3*S[2, Infinity]*S[3, Infinity])/
    4 - (39*S[5, Infinity])/16 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 1, -1, 1] -> 
  (-17*S[-1, Infinity]^5)/120 + (S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (13*S[-1, Infinity]^2*S[3, Infinity])/16 - (99*S[5, Infinity])/32 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 1, 0, 1] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (51*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (3*S[-1, Infinity]^2*S[3, Infinity])/4 + (5*S[2, Infinity]*S[3, Infinity])/
    16 + (103*S[5, Infinity])/32 + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 1, 1, 1] -> S[-1, Infinity]^5/120 - 
   (S[-1, Infinity]^3*S[2, Infinity])/12 - (S[-1, Infinity]*S[2, Infinity]^2)/
    8 + (S[-1, Infinity]^2*S[3, Infinity])/16 - (25*S[5, Infinity])/32 - 
   S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, -1, -1, 1] -> 
  S[-1, Infinity]^5/12 - (S[-1, Infinity]^3*S[2, Infinity])/4 + 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (S[-1, Infinity]^2*S[3, Infinity])/16 + 6*S[5, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, -1, 0, 1] -> 
  S[-1, Infinity]^5/12 - (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^2*S[3, Infinity])/2 - (11*S[2, Infinity]*S[3, Infinity])/
    8 + (247*S[5, Infinity])/32 - 3*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 5*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, -1, 1, 1] -> S[-1, Infinity]^5/60 - 
   (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (11*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (3*S[2, Infinity]*S[3, Infinity])/2 - (375*S[5, Infinity])/64 - 
   3*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 0, -1, 1] -> 
  (13*S[-1, Infinity]^5)/120 - (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (5*S[-1, Infinity]^2*S[3, Infinity])/16 + (S[2, Infinity]*S[3, Infinity])/
    16 + (221*S[5, Infinity])/32 - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 7*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 0, 0, 1] -> S[-1, Infinity]^5/20 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
   (3*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (13*S[2, Infinity]*S[3, Infinity])/16 + (47*S[5, Infinity])/8 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 0, 1, 1] -> 
  (2*S[-1, Infinity]^5)/15 - (S[-1, Infinity]^3*S[2, Infinity])/2 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (23*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (23*S[2, Infinity]*S[3, Infinity])/16 + (85*S[5, Infinity])/64 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 1, -1, 1] -> 
  -S[-1, Infinity]^5/120 - (S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (S[-1, Infinity]^2*S[3, Infinity])/16 - (3*S[5, Infinity])/64, 
 H[-1, -1, 1, 1, 0, 1] -> -S[-1, Infinity]^5/20 + 
   (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^2*S[3, Infinity])/16 + (S[2, Infinity]*S[3, Infinity])/
    16 - (277*S[5, Infinity])/64 + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 1, 1, 1] -> -S[-1, Infinity]^5/40 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + (S[-1, Infinity]*S[2, Infinity]^2)/
    20 + (S[-1, Infinity]^2*S[3, Infinity])/2 - 
   (S[2, Infinity]*S[3, Infinity])/2 + S[5, Infinity]/32 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, -1, -1, 1] -> (-11*S[-1, Infinity]^5)/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 - 4*S[5, Infinity] + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, -1, 0, 1] -> 
  (S[-1, Infinity]*S[2, Infinity]^2)/8 - (11*S[2, Infinity]*S[3, Infinity])/
    8 + (177*S[5, Infinity])/64, H[-1, 0, -1, -1, 1, 1] -> 
  S[-1, Infinity]^5/120 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/2 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (21*S[2, Infinity]*S[3, Infinity])/16 + (35*S[5, Infinity])/32 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, 0, -1, 1] -> -S[-1, Infinity]^5/10 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (13*S[-1, Infinity]*S[2, Infinity]^2)/8 - (S[2, Infinity]*S[3, Infinity])/
    8 - (125*S[5, Infinity])/16 + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, 0, 0, 1] -> (-21*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   S[2, Infinity]*S[3, Infinity] + (41*S[5, Infinity])/32, 
 H[-1, 0, -1, 0, 1, 1] -> (2*S[-1, Infinity]^5)/15 - 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + (3*S[2, Infinity]*S[3, Infinity])/
    2 + (33*S[5, Infinity])/32 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, -1, 1] -> 
  S[-1, Infinity]^5/15 + (5*S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (23*S[-1, Infinity]*S[2, Infinity]^2)/10 - (61*S[5, Infinity])/8 - 
   8*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, 0, 1] -> 
  -S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (119*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[2, Infinity]*S[3, Infinity])/2 - (507*S[5, Infinity])/32 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, 1, 1] -> 
  (-2*S[-1, Infinity]^5)/15 + (S[-1, Infinity]^3*S[2, Infinity])/4 + 
   (77*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 + (61*S[5, Infinity])/8 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 0, -1, -1, 1] -> 
  -S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/4 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + (125*S[5, Infinity])/64 + 
   2*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 0, -1, 0, 1] -> 
  (21*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (3*S[2, Infinity]*S[3, Infinity])/8 + (51*S[5, Infinity])/32, 
 H[-1, 0, 0, -1, 1, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (27*S[-1, Infinity]*S[2, Infinity]^2)/40 + (27*S[5, Infinity])/8 + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 0, 0, -1, 1] -> 
  (-7*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[2, Infinity]*S[3, Infinity])/8 - (17*S[5, Infinity])/16, 
 H[-1, 0, 0, 0, 0, 1] -> (15*S[5, Infinity])/16, 
 H[-1, 0, 0, 0, 1, 1] -> (-2*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (3*S[2, Infinity]*S[3, Infinity])/4 - (59*S[5, Infinity])/32, 
 H[-1, 0, 0, 1, -1, 1] -> S[-1, Infinity]^5/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/2 + (15*S[5, Infinity])/32 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 0, 1, 0, 1] -> (6*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (3*S[2, Infinity]*S[3, Infinity])/8 + (11*S[5, Infinity])/32, 
 H[-1, 0, 0, 1, 1, 1] -> -S[-1, Infinity]^5/15 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - (S[-1, Infinity]*S[2, Infinity]^2)/
    10 + (7*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 - (15*S[5, Infinity])/32 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, -1, -1, 1] -> 
  S[-1, Infinity]^5/40 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (69*S[-1, Infinity]*S[2, Infinity]^2)/40 + (221*S[5, Infinity])/32 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, -1, 0, 1] -> 
  S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (139*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (13*S[2, Infinity]*S[3, Infinity])/16 + (547*S[5, Infinity])/32 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, -1, 1, 1] -> 
  (11*S[-1, Infinity]^5)/120 + (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (141*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (21*S[2, Infinity]*S[3, Infinity])/16 - (845*S[5, Infinity])/64 - 
   11*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 0, -1, 1] -> 
  -S[-1, Infinity]^5/10 + (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (71*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (5*S[2, Infinity]*S[3, Infinity])/16 - (123*S[5, Infinity])/16 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 0, 0, 1] -> 
  (-6*S[-1, Infinity]*S[2, Infinity]^2)/5 - (3*S[2, Infinity]*S[3, Infinity])/
    4 + (21*S[5, Infinity])/32, H[-1, 0, 1, 0, 1, 1] -> 
  (2*S[-1, Infinity]^5)/15 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + (9*S[2, Infinity]*S[3, Infinity])/
    8 + (89*S[5, Infinity])/64 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 1, -1, 1] -> 
  S[-1, Infinity]^5/15 - (11*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (69*S[-1, Infinity]*S[2, Infinity]^2)/40 + (457*S[5, Infinity])/64 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 1, 0, 1] -> 
  (S[-1, Infinity]*S[2, Infinity]^2)/2 - (S[2, Infinity]*S[3, Infinity])/16 + 
   (53*S[5, Infinity])/64, H[-1, 0, 1, 1, 1, 1] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[2, Infinity]*S[3, Infinity])/16 - (27*S[5, Infinity])/32 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, -1, -1, 1] -> -(S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 - S[-1, Infinity]^2*
    S[3, Infinity] - 4*S[5, Infinity] + S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, -1, 0, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/12 - (S[-1, Infinity]*S[2, Infinity]^2)/
    10 - (S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (3*S[2, Infinity]*S[3, Infinity])/2 - (125*S[5, Infinity])/32 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, -1, 1, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (23*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (23*S[2, Infinity]*S[3, Infinity])/16 + (369*S[5, Infinity])/64 + 
   3*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 0, -1, 1] -> 
  -S[-1, Infinity]^5/10 + (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (33*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (S[-1, Infinity]^2*S[3, Infinity])/8 - (S[2, Infinity]*S[3, Infinity])/4 - 
   (61*S[5, Infinity])/8 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 0, 0, 1] -> 
  (-19*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[-1, Infinity]^2*S[3, Infinity])/8 + (7*S[2, Infinity]*S[3, Infinity])/
    8 - (15*S[5, Infinity])/8, H[-1, 1, -1, 0, 1, 1] -> 
  -S[-1, Infinity]^5/8 + (3*S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (13*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (15*S[2, Infinity]*S[3, Infinity])/8 - (101*S[5, Infinity])/64 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 1, -1, 1] -> 
  -S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/40 + (S[-1, Infinity]^2*S[3, Infinity])/
    8 - (S[2, Infinity]*S[3, Infinity])/8 + (3*S[5, Infinity])/16, 
 H[-1, 1, -1, 1, 0, 1] -> (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/10 + (S[-1, Infinity]^2*S[3, Infinity])/
    2 - (5*S[2, Infinity]*S[3, Infinity])/8 + S[5, Infinity], 
 H[-1, 1, -1, 1, 1, 1] -> (13*S[-1, Infinity]^5)/120 - 
   (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (23*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (23*S[2, Infinity]*S[3, Infinity])/16 + (23*S[5, Infinity])/64 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, -1, -1, 1] -> 
  S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (11*S[-1, Infinity]^2*S[3, Infinity])/8 + (S[2, Infinity]*S[3, Infinity])/
    16 - (99*S[5, Infinity])/32 - 3*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 0, -1, 0, 1] -> -S[-1, Infinity]^5/10 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (3*S[-1, Infinity]^2*S[3, Infinity])/4 + (7*S[2, Infinity]*S[3, Infinity])/
    8 - (331*S[5, Infinity])/32 + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 0, -1, 1, 1] -> (7*S[-1, Infinity]^5)/120 - 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (27*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^2*S[3, Infinity])/2 - (S[2, Infinity]*S[3, Infinity])/2 + 
   (911*S[5, Infinity])/64 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   13*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 0, -1, 1] -> 
  -(S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (3*S[-1, Infinity]^2*S[3, Infinity])/8 - (S[2, Infinity]*S[3, Infinity])/
    8 + (15*S[5, Infinity])/32, H[-1, 1, 0, 0, 0, 1] -> 
  (-7*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[2, Infinity]*S[3, Infinity])/8 - 2*S[5, Infinity], 
 H[-1, 1, 0, 0, 1, 1] -> -S[-1, Infinity]^5/60 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (3*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (11*S[2, Infinity]*S[3, Infinity])/8 + (311*S[5, Infinity])/64 + 
   2*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 1, -1, 1] -> 
  (-19*S[-1, Infinity]^5)/120 + (7*S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (141*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^2*S[3, Infinity])/2 - (S[2, Infinity]*S[3, Infinity])/2 - 
   (245*S[5, Infinity])/16 + 7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 1, 0, 1] -> 
  -S[-1, Infinity]^5/10 + (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (51*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   S[-1, Infinity]^2*S[3, Infinity] - (7*S[2, Infinity]*S[3, Infinity])/8 - 
   (227*S[5, Infinity])/32 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 1, 1, 1] -> 
  (11*S[-1, Infinity]^5)/120 - (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (11*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (11*S[2, Infinity]*S[3, Infinity])/8 + (81*S[5, Infinity])/64 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, -1, -1, 1] -> 
  -S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + (S[2, Infinity]*S[3, Infinity])/
    16 - (3*S[5, Infinity])/64, H[-1, 1, 1, -1, 0, 1] -> 
  (3*S[-1, Infinity]^5)/40 - (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (13*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (3*S[2, Infinity]*S[3, Infinity])/8 + (33*S[5, Infinity])/64 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, -1, 1, 1] -> (-11*S[-1, Infinity]^5)/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 - (7*S[2, Infinity]*S[3, Infinity])/
    8 - (81*S[5, Infinity])/64 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 0, -1, 1] -> 
  S[-1, Infinity]^5/15 - (S[-1, Infinity]^3*S[2, Infinity])/4 + 
   (33*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (5*S[-1, Infinity]^2*S[3, Infinity])/16 + (S[2, Infinity]*S[3, Infinity])/
    8 + (457*S[5, Infinity])/64 - 3*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 7*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, 0, 0, 1] -> S[-1, Infinity]^5/15 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]^2*S[3, Infinity])/2 + (7*S[2, Infinity]*S[3, Infinity])/
    16 + (151*S[5, Infinity])/64 - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, 0, 1, 1] -> (-13*S[-1, Infinity]^5)/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (23*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (9*S[2, Infinity]*S[3, Infinity])/16 - (23*S[5, Infinity])/64 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 1, -1, 1] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 + (27*S[5, Infinity])/32 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, 1, 0, 1] -> S[-1, Infinity]^5/40 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - (S[-1, Infinity]*S[2, Infinity]^2)/
    20 - (S[-1, Infinity]^2*S[3, Infinity])/2 + 
   (S[2, Infinity]*S[3, Infinity])/2 - S[5, Infinity]/32 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, 1, 1, 1] -> -S[-1, 1, 1, 1, 1, Infinity], 
 H[0, -1, -1, -1, -1, 1] -> S[-1, Infinity]^5/30 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + S[5, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity], 
 H[0, -1, -1, -1, 0, 1] -> (15*S[2, Infinity]*S[3, Infinity])/16 - 
   (59*S[5, Infinity])/32, H[0, -1, -1, -1, 1, 1] -> 
  S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 + (15*S[5, Infinity])/16 - 
   S[-1, 1, 1, 1, 1, Infinity], H[0, -1, -1, 0, -1, 1] -> 
  (-23*S[2, Infinity]*S[3, Infinity])/16 + (177*S[5, Infinity])/64, 
 H[0, -1, -1, 0, 0, 1] -> -(S[2, Infinity]*S[3, Infinity])/2 + 
   (23*S[5, Infinity])/16, H[0, -1, -1, 0, 1, 1] -> 
  (-5*S[2, Infinity]*S[3, Infinity])/16 + (5*S[5, Infinity])/8, 
 H[0, -1, -1, 1, -1, 1] -> (-7*S[-1, Infinity]^5)/60 - 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + (S[-1, Infinity]*S[2, Infinity]^2)/
    10 + (21*S[2, Infinity]*S[3, Infinity])/16 - (125*S[5, Infinity])/32 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 H[0, -1, -1, 1, 0, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + (S[-1, Infinity]*S[2, Infinity]^2)/
    5 + (13*S[2, Infinity]*S[3, Infinity])/16 + (7*S[5, Infinity])/8 + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[0, -1, -1, 1, 1, 1] -> 
  S[-1, Infinity]^5/24 + (S[-1, Infinity]^3*S[2, Infinity])/12 - 
   S[-1, Infinity]*S[2, Infinity]^2 - (3*S[2, Infinity]*S[3, Infinity])/16 - 
   (123*S[5, Infinity])/32 - 5*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, -1, 0, -1, -1, 1] -> (2*S[-1, Infinity]^5)/15 - 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + (3*S[2, Infinity]*S[3, Infinity])/
    2 + (73*S[5, Infinity])/64 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[0, -1, 0, -1, 0, 1] -> 
  (11*S[2, Infinity]*S[3, Infinity])/4 - (23*S[5, Infinity])/4, 
 H[0, -1, 0, -1, 1, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 - 2*S[2, Infinity]*S[3, Infinity] + 
   (129*S[5, Infinity])/16 + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, -1, 0, 0, -1, 1] -> (-3*S[2, Infinity]*S[3, Infinity])/4 + 
   (51*S[5, Infinity])/32, H[0, -1, 0, 0, 0, 1] -> (-15*S[5, Infinity])/4, 
 H[0, -1, 0, 0, 1, 1] -> (-21*S[2, Infinity]*S[3, Infinity])/8 + 
   (83*S[5, Infinity])/16, H[0, -1, 0, 1, -1, 1] -> 
  -S[-1, Infinity]^5/10 + (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
   (9*S[2, Infinity]*S[3, Infinity])/8 - (331*S[5, Infinity])/32 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], H[0, -1, 0, 1, 0, 1] -> 
  (3*S[2, Infinity]*S[3, Infinity])/4 - 2*S[5, Infinity], 
 H[0, -1, 0, 1, 1, 1] -> (11*S[2, Infinity]*S[3, Infinity])/16 - 
   (41*S[5, Infinity])/32, H[0, -1, 1, -1, -1, 1] -> 
  S[-1, Infinity]^5/12 + (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (49*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 + (247*S[5, Infinity])/32 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, Infinity], H[0, -1, 1, -1, 0, 1] -> 
  S[-1, Infinity]^5/15 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (23*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (29*S[2, Infinity]*S[3, Infinity])/16 - 3*S[5, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], H[0, -1, 1, -1, 1, 1] -> 
  -S[-1, Infinity]^5/40 - (3*S[-1, Infinity]^3*S[2, Infinity])/4 + 
   (21*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (27*S[2, Infinity]*S[3, Infinity])/16 - (29*S[5, Infinity])/64 + 
   3*S[-1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 0, -1, 1] -> 
  S[-1, Infinity]^5/5 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (5*S[2, Infinity]*S[3, Infinity])/16 + (547*S[5, Infinity])/32 - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 0, 0, 1] -> 
  (9*S[-1, Infinity]*S[2, Infinity]^2)/4 - (3*S[2, Infinity]*S[3, Infinity])/
    8 + (171*S[5, Infinity])/32, H[0, -1, 1, 0, 1, 1] -> 
  (3*S[-1, Infinity]*S[2, Infinity]^2)/8 + (5*S[2, Infinity]*S[3, Infinity])/
    2 - (257*S[5, Infinity])/64, H[0, -1, 1, 1, -1, 1] -> 
  -S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/10 + (33*S[5, Infinity])/64 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity], 
 H[0, -1, 1, 1, 0, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (7*S[-1, Infinity]*S[2, Infinity]^2)/40 + (S[2, Infinity]*S[3, Infinity])/
    16 + (99*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, -1, 1, 1, 1, 1] -> S[-1, Infinity]^5/40 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 - S[5, Infinity]/32 - 
   3*S[-1, 1, 1, 1, 1, Infinity], H[0, 0, -1, -1, -1, 1] -> 
  -S[-1, Infinity]^5/15 + (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 - (S[2, Infinity]*S[3, Infinity])/
    2 - (33*S[5, Infinity])/32 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, Infinity], H[0, 0, -1, -1, 0, 1] -> 
  (-7*S[2, Infinity]*S[3, Infinity])/8 + (23*S[5, Infinity])/16, 
 H[0, 0, -1, -1, 1, 1] -> S[-1, Infinity]^5/30 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + (3*S[2, Infinity]*S[3, Infinity])/
    4 - (153*S[5, Infinity])/32 - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 0, -1, 0, -1, 1] -> (-5*S[2, Infinity]*S[3, Infinity])/8 + 
   (41*S[5, Infinity])/32, H[0, 0, -1, 0, 0, 1] -> (45*S[5, Infinity])/8, 
 H[0, 0, -1, 0, 1, 1] -> (9*S[2, Infinity]*S[3, Infinity])/4 - 
   (67*S[5, Infinity])/16, H[0, 0, -1, 1, -1, 1] -> 
  -S[-1, Infinity]^5/12 + (S[-1, Infinity]^3*S[2, Infinity])/2 - 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/40 + (S[2, Infinity]*S[3, Infinity])/
    2 - (15*S[5, Infinity])/8 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, -1, 1, 0, 1] -> (-9*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
   (139*S[5, Infinity])/32, H[0, 0, -1, 1, 1, 1] -> 
  S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/10 - (13*S[2, Infinity]*S[3, Infinity])/
    8 + (15*S[5, Infinity])/8 - 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 0, 0, -1, -1, 1] -> (S[2, Infinity]*S[3, Infinity])/2 - 
   (29*S[5, Infinity])/32, H[0, 0, 0, -1, 0, 1] -> (-15*S[5, Infinity])/4, 
 H[0, 0, 0, -1, 1, 1] -> (3*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
   (3*S[2, Infinity]*S[3, Infinity])/4 + (91*S[5, Infinity])/32, 
 H[0, 0, 0, 0, -1, 1] -> (15*S[5, Infinity])/16, H[0, 0, 0, 0, 0, 1] -> 0, 
 H[0, 0, 0, 0, 1, 1] -> S[5, Infinity], H[0, 0, 0, 1, -1, 1] -> 
  (-3*S[-1, Infinity]*S[2, Infinity]^2)/4 + (3*S[2, Infinity]*S[3, Infinity])/
    8 - 2*S[5, Infinity], H[0, 0, 0, 1, 0, 1] -> -4*S[5, Infinity], 
 H[0, 0, 0, 1, 1, 1] -> -(S[2, Infinity]*S[3, Infinity]) + 2*S[5, Infinity], 
 H[0, 0, 1, -1, -1, 1] -> S[-1, Infinity]^5/20 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (49*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (13*S[2, Infinity]*S[3, Infinity])/16 + (47*S[5, Infinity])/8 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[0, 0, 1, -1, 0, 1] -> 
  (9*S[-1, Infinity]*S[2, Infinity]^2)/4 - (7*S[2, Infinity]*S[3, Infinity])/
    8 + (171*S[5, Infinity])/32, H[0, 0, 1, -1, 1, 1] -> 
  -S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (15*S[2, Infinity]*S[3, Infinity])/8 - (159*S[5, Infinity])/64 + 
   2*S[-1, 1, 1, 1, 1, Infinity], H[0, 0, 1, 0, -1, 1] -> 
  -(S[2, Infinity]*S[3, Infinity])/4 + (21*S[5, Infinity])/32, 
 H[0, 0, 1, 0, 0, 1] -> 6*S[5, Infinity], H[0, 0, 1, 0, 1, 1] -> 
  3*S[2, Infinity]*S[3, Infinity] - (11*S[5, Infinity])/2, 
 H[0, 0, 1, 1, -1, 1] -> S[-1, Infinity]^5/15 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/8 - (S[2, Infinity]*S[3, Infinity])/
    16 + (151*S[5, Infinity])/64 - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 0, 1, 1, 0, 1] -> -S[5, Infinity]/2, H[0, 0, 1, 1, 1, 1] -> 
  -(S[2, Infinity]*S[3, Infinity]) + 2*S[5, Infinity], 
 H[0, 1, -1, -1, -1, 1] -> -S[-1, Infinity]^5/120 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (51*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 - (39*S[5, Infinity])/8 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 1, -1, -1, 0, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (23*S[2, Infinity]*S[3, Infinity])/16 + (7*S[5, Infinity])/8 + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[0, 1, -1, -1, 1, 1] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (53*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 + (405*S[5, Infinity])/64 + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 0, -1, 1] -> 
  -S[-1, Infinity]^5/5 + (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/5 - (S[2, Infinity]*S[3, Infinity])/
    4 - (507*S[5, Infinity])/32 + 8*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 16*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 1, -1, 0, 0, 1] -> (-9*S[-1, Infinity]*S[2, Infinity]^2)/4 + 
   (3*S[2, Infinity]*S[3, Infinity])/4 - (139*S[5, Infinity])/32, 
 H[0, 1, -1, 0, 1, 1] -> (-3*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (13*S[2, Infinity]*S[3, Infinity])/4 + (363*S[5, Infinity])/64, 
 H[0, 1, -1, 1, -1, 1] -> S[-1, Infinity]^5/8 + 
   (S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (21*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[2, Infinity]*S[3, Infinity])/8 + S[5, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, -1, 1, 0, 1] -> S[-1, Infinity]^5/15 - 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (23*S[-1, Infinity]*S[2, Infinity]^2)/20 - S[2, Infinity]*S[3, Infinity] - 
   (19*S[5, Infinity])/4 - 8*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 1, -1, 1, 1, 1] -> -S[-1, Infinity]^5/20 - 
   (S[-1, Infinity]^3*S[2, Infinity])/4 + 
   (57*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (21*S[2, Infinity]*S[3, Infinity])/8 + (29*S[5, Infinity])/64 + 
   6*S[-1, 1, 1, 1, 1, Infinity], H[0, 1, 0, -1, -1, 1] -> 
  (2*S[-1, Infinity]^5)/15 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + (7*S[2, Infinity]*S[3, Infinity])/
    16 + (103*S[5, Infinity])/32 - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 1, 0, -1, 0, 1] -> (S[2, Infinity]*S[3, Infinity])/4 - 
   2*S[5, Infinity], H[0, 1, 0, -1, 1, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (83*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + (S[2, Infinity]*S[3, Infinity])/
    2 + (259*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 1, 0, 0, -1, 1] -> (S[2, Infinity]*S[3, Infinity])/8 + 
   (11*S[5, Infinity])/32, H[0, 1, 0, 0, 0, 1] -> -4*S[5, Infinity], 
 H[0, 1, 0, 0, 1, 1] -> -2*S[2, Infinity]*S[3, Infinity] + 
   (9*S[5, Infinity])/2, H[0, 1, 0, 1, -1, 1] -> 
  -S[-1, Infinity]^5/10 + (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (83*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 - (227*S[5, Infinity])/32 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, Infinity], H[0, 1, 0, 1, 0, 1] -> 
  -2*S[2, Infinity]*S[3, Infinity] + 2*S[5, Infinity], 
 H[0, 1, 0, 1, 1, 1] -> 3*S[2, Infinity]*S[3, Infinity] - 
   (11*S[5, Infinity])/2, H[0, 1, 1, -1, -1, 1] -> 
  (-11*S[-1, Infinity]^5)/120 - (S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (17*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (3*S[2, Infinity]*S[3, Infinity])/16 - (277*S[5, Infinity])/64 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, Infinity], H[0, 1, 1, -1, 0, 1] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (53*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (19*S[2, Infinity]*S[3, Infinity])/16 + (99*S[5, Infinity])/64 + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[0, 1, 1, -1, 1, 1] -> 
  S[-1, Infinity]^5/30 + (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (53*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (35*S[2, Infinity]*S[3, Infinity])/16 + (29*S[5, Infinity])/64 - 
   4*S[-1, 1, 1, 1, 1, Infinity], H[0, 1, 1, 0, -1, 1] -> 
  (-3*S[2, Infinity]*S[3, Infinity])/16 + (53*S[5, Infinity])/64, 
 H[0, 1, 1, 0, 0, 1] -> S[2, Infinity]*S[3, Infinity] - S[5, Infinity]/2, 
 H[0, 1, 1, 0, 1, 1] -> -2*S[2, Infinity]*S[3, Infinity] + 
   (9*S[5, Infinity])/2, H[0, 1, 1, 1, -1, 1] -> 
  S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/20 + (7*S[2, Infinity]*S[3, Infinity])/
    8 - S[5, Infinity]/32 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, Infinity], H[0, 1, 1, 1, 0, 1] -> 
  S[2, Infinity]*S[3, Infinity] - 3*S[5, Infinity], 
 H[0, 1, 1, 1, 1, 1] -> S[5, Infinity], H[1, -1, -1, -1, -1, 1] -> 
  -S[-1, Infinity]^5/24 + (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (S[-1, Infinity]^2*S[3, Infinity])/2 + S[5, Infinity] + 
   S[-1, 1, 1, 1, 1, Infinity], H[1, -1, -1, -1, 0, 1] -> 
  S[-1, Infinity]^5/120 + (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
   (2*S[1, Infinity]*S[2, Infinity]^2)/5 + (S[-1, Infinity]^2*S[3, Infinity])/
    2 - S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] - 
   S[2, Infinity]*S[3, Infinity] + (15*S[5, Infinity])/16 - 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, -1, 1, 1] -> S[-1, Infinity]^5/20 - 
   (S[-1, Infinity]^4*S[1, Infinity])/12 - (S[-1, Infinity]^3*S[2, Infinity])/
    4 + (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (4*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (2*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (15*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (15*S[2, Infinity]*S[3, Infinity])/16 - (123*S[5, Infinity])/32 + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 0, -1, 1] -> (11*S[-1, Infinity]^5)/120 - 
   (S[-1, Infinity]^4*S[1, Infinity])/8 - 
   (7*S[-1, Infinity]^3*S[2, Infinity])/12 + S[-1, Infinity]^2*S[1, Infinity]*
    S[2, Infinity] + (3*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
   (6*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (23*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (23*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (3*S[2, Infinity]*S[3, Infinity])/2 + (35*S[5, Infinity])/32 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 0, 0, 1] -> S[-1, Infinity]^5/30 - 
   (S[-1, Infinity]^4*S[1, Infinity])/12 - (S[-1, Infinity]^3*S[2, Infinity])/
    3 + (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]*S[2, Infinity]^2)/4 - (S[-1, Infinity]^2*S[3, Infinity])/
    2 + S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] + 
   (3*S[2, Infinity]*S[3, Infinity])/8 - (153*S[5, Infinity])/32 + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 0, 1, 1] -> -S[-1, Infinity]^5/40 - 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (13*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (5*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (5*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 + (29*S[5, Infinity])/16 + 
   3*S[-1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 1, -1, 1] -> 
  S[-1, Infinity]^5/120 + (S[-1, Infinity]^4*S[1, Infinity])/12 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (53*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (6*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (11*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (11*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (11*S[2, Infinity]*S[3, Infinity])/8 + (369*S[5, Infinity])/64 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 1, 0, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^4*S[1, Infinity])/12 - (S[-1, Infinity]^3*S[2, Infinity])/
    12 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (63*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (13*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (13*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (15*S[2, Infinity]*S[3, Infinity])/16 + (405*S[5, Infinity])/64 - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 1, 1, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^4*S[1, Infinity])/24 + (S[-1, Infinity]^3*S[2, Infinity])/
    12 - (7*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]*S[2, Infinity]^2)/20 - (S[-1, Infinity]^2*S[3, Infinity])/
    16 + (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (S[2, Infinity]*S[3, Infinity])/16 - (29*S[5, Infinity])/64, 
 H[1, -1, 0, -1, -1, 1] -> -S[-1, Infinity]^5/8 + 
   (S[-1, Infinity]^4*S[1, Infinity])/8 + 
   (3*S[-1, Infinity]^3*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (51*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (6*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (43*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (11*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (11*S[2, Infinity]*S[3, Infinity])/8 + (87*S[5, Infinity])/32 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, 0, -1, 0, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^4*S[1, Infinity])/6 + (S[-1, Infinity]^3*S[2, Infinity])/
    3 - S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity] + 
   (19*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (11*S[1, Infinity]*S[2, Infinity]^2)/8 + S[-1, Infinity]^2*
    S[3, Infinity] - 2*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] - 
   (33*S[2, Infinity]*S[3, Infinity])/16 + (129*S[5, Infinity])/16 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 0, -1, 1, 1] -> (7*S[-1, Infinity]^5)/60 - 
   (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (37*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
   (5*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (29*S[-1, Infinity]^2*S[3, Infinity])/16 + S[-1, Infinity]*S[1, Infinity]*
    S[3, Infinity] + (29*S[2, Infinity]*S[3, Infinity])/16 - 
   (521*S[5, Infinity])/32 + 4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   14*S[-1, 1, 1, 1, 1, Infinity], H[1, -1, 0, 0, -1, 1] -> 
  S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (49*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]*S[2, Infinity]^2)/8 + (3*S[-1, Infinity]^2*S[3, Infinity])/
    8 - (3*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 + (27*S[5, Infinity])/8 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[1, -1, 0, 0, 0, 1] -> 
  (3*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
   (7*S[1, Infinity]*S[2, Infinity]^2)/20 - (3*S[2, Infinity]*S[3, Infinity])/
    4 + (91*S[5, Infinity])/32, H[1, -1, 0, 0, 1, 1] -> 
  S[-1, Infinity]^5/60 - (S[-1, Infinity]^4*S[1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/10 + 
   (3*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (3*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 + 
   2*S[2, Infinity]*S[3, Infinity] - (85*S[5, Infinity])/16 + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 1, -1, 1] -> -S[-1, Infinity]^5/15 + 
   (S[-1, Infinity]^4*S[1, Infinity])/6 + (S[-1, Infinity]^3*S[2, Infinity])/
    12 + (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (18*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (13*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (13*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (13*S[2, Infinity]*S[3, Infinity])/16 + (911*S[5, Infinity])/64 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   13*S[-1, 1, 1, 1, 1, Infinity], H[1, -1, 0, 1, 0, 1] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^4*S[1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - S[-1, Infinity]^2*S[1, Infinity]*
    S[2, Infinity] + (23*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (51*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (3*S[-1, Infinity]^2*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/2 - 
   (S[2, Infinity]*S[3, Infinity])/8 + (259*S[5, Infinity])/64 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 1, 1, 1] -> S[-1, Infinity]^5/120 - 
   (S[-1, Infinity]^4*S[1, Infinity])/24 - (S[-1, Infinity]^3*S[2, Infinity])/
    12 + (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (43*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]*S[2, Infinity]^2)/8 + (S[-1, Infinity]^2*S[3, Infinity])/
    16 - (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[2, Infinity]*S[3, Infinity])/16 + (81*S[5, Infinity])/64 + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 1, -1, -1, 1] -> (7*S[-1, Infinity]^5)/120 - 
   (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   (7*S[-1, Infinity]^3*S[2, Infinity])/12 + S[-1, Infinity]^2*S[1, Infinity]*
    S[2, Infinity] - (57*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (6*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (39*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (23*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (23*S[2, Infinity]*S[3, Infinity])/16 - (375*S[5, Infinity])/64 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 1, -1, 0, 1] -> -S[-1, Infinity]^5/40 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]*S[2, Infinity]^2)/10 - (S[-1, Infinity]^2*S[3, Infinity])/
    2 + S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] + 
   (7*S[2, Infinity]*S[3, Infinity])/4 - (29*S[5, Infinity])/64 + 
   3*S[-1, 1, 1, 1, 1, Infinity], H[1, -1, 1, -1, 1, 1] -> 
  -S[-1, Infinity]^5/30 + (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/5 + (S[1, Infinity]*S[2, Infinity]^2)/
    40 + (9*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (9*S[2, Infinity]*S[3, Infinity])/8 + (29*S[5, Infinity])/16, 
 H[1, -1, 1, 0, -1, 1] -> -S[-1, Infinity]^5/30 - 
   (S[-1, Infinity]^4*S[1, Infinity])/6 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (63*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (33*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (13*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (13*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 + 
   (3*S[2, Infinity]*S[3, Infinity])/4 - (845*S[5, Infinity])/64 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   11*S[-1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, 0, 1] -> 
  -S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (19*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 + 
   (11*S[2, Infinity]*S[3, Infinity])/8 - (159*S[5, Infinity])/64 + 
   2*S[-1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, 1, 1] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^4*S[1, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (6*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
   (19*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (13*S[2, Infinity]*S[3, Infinity])/8 - (29*S[5, Infinity])/16 + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 1, 1, -1, 1] -> -S[-1, Infinity]^5/120 + 
   (S[-1, Infinity]^4*S[1, Infinity])/24 + (S[-1, Infinity]^3*S[2, Infinity])/
    12 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/8 - (S[1, Infinity]*S[2, Infinity]^2)/
    8 + (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[2, Infinity]*S[3, Infinity])/16 - (81*S[5, Infinity])/64 - 
   3*S[-1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 1, 0, 1] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (13*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]*S[2, Infinity]^2)/20 + (S[-1, Infinity]^2*S[3, Infinity])/
    16 - (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (15*S[2, Infinity]*S[3, Infinity])/16 + (29*S[5, Infinity])/64 + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 1, 1, 1, 1] -> -(S[1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, Infinity], H[1, 0, -1, -1, -1, 1] -> 
  S[-1, Infinity]^5/30 - (S[-1, Infinity]^4*S[1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (2*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 + S[5, Infinity]/8 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, -1, -1, 0, 1] -> -(S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (S[2, Infinity]*S[3, Infinity])/8 + (5*S[5, Infinity])/8, 
 H[1, 0, -1, -1, 1, 1] -> -S[-1, Infinity]^5/40 + 
   (S[-1, Infinity]^4*S[1, Infinity])/12 + (S[-1, Infinity]^3*S[2, Infinity])/
    4 + (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (9*S[1, Infinity]*S[2, Infinity]^2)/20 + (29*S[5, Infinity])/16 - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, -1, 0, -1, 1] -> (2*S[-1, Infinity]^5)/15 - 
   (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 + S[-1, Infinity]^2*S[1, Infinity]*
    S[2, Infinity] + (13*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/2 + 
   (23*S[2, Infinity]*S[3, Infinity])/16 + (33*S[5, Infinity])/32 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, -1, 0, 0, 1] -> (21*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[2, Infinity]*S[3, Infinity])/2 - (67*S[5, Infinity])/16, 
 H[1, 0, -1, 0, 1, 1] -> (3*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (5*S[2, Infinity]*S[3, Infinity])/8 + (29*S[5, Infinity])/32, 
 H[1, 0, -1, 1, -1, 1] -> -(S[-1, Infinity]^3*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/5 - (7*S[1, Infinity]*S[2, Infinity]^2)/
    20 + (21*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (21*S[2, Infinity]*S[3, Infinity])/16 - (101*S[5, Infinity])/64 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, -1, 1, 0, 1] -> -(S[-1, Infinity]^4*S[1, Infinity])/6 + 
   S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity] + 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
   (13*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (13*S[2, Infinity]*S[3, Infinity])/8 + (363*S[5, Infinity])/64 + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 0, -1, 1, 1, 1] -> -S[-1, Infinity]^5/40 + 
   (S[-1, Infinity]^4*S[1, Infinity])/8 + (S[-1, Infinity]^3*S[2, Infinity])/
    4 - (39*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (11*S[1, Infinity]*S[2, Infinity]^2)/20 - (23*S[5, Infinity])/64 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 0, -1, -1, 1] -> (-2*S[-1, Infinity]^5)/15 + 
   (S[-1, Infinity]^4*S[1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (3*S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 - (39*S[5, Infinity])/16 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 0, -1, 0, 1] -> (-21*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (13*S[2, Infinity]*S[3, Infinity])/8 + (83*S[5, Infinity])/16, 
 H[1, 0, 0, -1, 1, 1] -> S[-1, Infinity]^5/60 + 
   (S[-1, Infinity]^4*S[1, Infinity])/12 - (S[-1, Infinity]^3*S[2, Infinity])/
    6 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (8*S[-1, Infinity]*S[2, Infinity]^2)/5 - (S[1, Infinity]*S[2, Infinity]^2)/
    5 - (7*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (7*S[2, Infinity]*S[3, Infinity])/8 - (85*S[5, Infinity])/16 - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 0, 0, -1, 1] -> (7*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (S[2, Infinity]*S[3, Infinity])/2 - (59*S[5, Infinity])/32, 
 H[1, 0, 0, 0, 0, 1] -> S[5, Infinity], H[1, 0, 0, 0, 1, 1] -> 
  (2*S[1, Infinity]*S[2, Infinity]^2)/5 + S[2, Infinity]*S[3, Infinity] - 
   3*S[5, Infinity], H[1, 0, 0, 1, -1, 1] -> -S[-1, Infinity]^5/60 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (8*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
   (19*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 + (311*S[5, Infinity])/64 + 
   2*S[-1, 1, 1, 1, 1, Infinity], H[1, 0, 0, 1, 0, 1] -> 
  (-6*S[1, Infinity]*S[2, Infinity]^2)/5 - S[2, Infinity]*S[3, Infinity] + 
   (9*S[5, Infinity])/2, H[1, 0, 0, 1, 1, 1] -> 
  (S[1, Infinity]*S[2, Infinity]^2)/10 - S[5, Infinity]/2, 
 H[1, 0, 1, -1, -1, 1] -> (11*S[-1, Infinity]^5)/120 - 
   (S[-1, Infinity]^4*S[1, Infinity])/12 - 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (5*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/20 + 
   (7*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (35*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 + 
   (21*S[2, Infinity]*S[3, Infinity])/16 + (85*S[5, Infinity])/64 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 1, -1, 0, 1] -> (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity] - 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (33*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (15*S[2, Infinity]*S[3, Infinity])/8 - (257*S[5, Infinity])/64 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 0, 1, -1, 1, 1] -> S[-1, Infinity]^5/30 - 
   (S[-1, Infinity]^4*S[1, Infinity])/8 - (S[-1, Infinity]^3*S[2, Infinity])/
    3 - (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/5 + (7*S[1, Infinity]*S[2, Infinity]^2)/
    8 + (7*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (7*S[2, Infinity]*S[3, Infinity])/8 - (29*S[5, Infinity])/16 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 1, 0, -1, 1] -> (2*S[-1, Infinity]^5)/15 - 
   (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   (2*S[-1, Infinity]^3*S[2, Infinity])/3 + S[-1, Infinity]^2*S[1, Infinity]*
    S[2, Infinity] + (71*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/4 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/2 + 
   (3*S[2, Infinity]*S[3, Infinity])/4 + (89*S[5, Infinity])/64 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 1, 0, 0, 1] -> (6*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   2*S[2, Infinity]*S[3, Infinity] - (11*S[5, Infinity])/2, 
 H[1, 0, 1, 0, 1, 1] -> (3*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   2*S[2, Infinity]*S[3, Infinity] + 2*S[5, Infinity], 
 H[1, 0, 1, 1, -1, 1] -> (-13*S[-1, Infinity]^5)/120 + 
   (S[-1, Infinity]^4*S[1, Infinity])/24 + 
   (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (47*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (9*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[2, Infinity]*S[3, Infinity])/16 - (23*S[5, Infinity])/64 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 1, 1, 0, 1] -> -(S[1, Infinity]*S[2, Infinity]^2)/2 - 
   S[2, Infinity]*S[3, Infinity] + (9*S[5, Infinity])/2, 
 H[1, 0, 1, 1, 1, 1] -> (2*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   4*S[5, Infinity], H[1, 1, -1, -1, -1, 1] -> (-7*S[-1, Infinity]^5)/120 + 
   (S[-1, Infinity]^4*S[1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/12 + 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
   (2*S[1, Infinity]*S[2, Infinity]^2)/5 + S[-1, Infinity]^2*S[3, Infinity] - 
   S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] - 
   (S[2, Infinity]*S[3, Infinity])/2 + (63*S[5, Infinity])/32 - 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, -1, 0, 1] -> S[-1, Infinity]^5/24 - 
   (S[-1, Infinity]^4*S[1, Infinity])/12 + (S[-1, Infinity]^3*S[2, Infinity])/
    6 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/2 + 
   (7*S[1, Infinity]*S[2, Infinity]^2)/10 + (S[1, Infinity]^2*S[3, Infinity])/
    16 - (11*S[2, Infinity]*S[3, Infinity])/16 - (123*S[5, Infinity])/32 + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, -1, 1, 1] -> S[-1, Infinity]^5/20 - 
   (S[-1, Infinity]^4*S[1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]*S[2, Infinity]^2)/8 - (S[-1, Infinity]^2*S[3, Infinity])/
    2 + (S[1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[2, Infinity]*S[3, Infinity])/16 - (29*S[5, Infinity])/64, 
 H[1, 1, -1, 0, -1, 1] -> -S[-1, Infinity]^5/120 + 
   (S[-1, Infinity]^4*S[1, Infinity])/6 + (S[-1, Infinity]^3*S[2, Infinity])/
    6 - (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (15*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
   (3*S[1, Infinity]*S[2, Infinity]^2)/2 + 
   (21*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]^2*S[3, Infinity])/8 - (3*S[2, Infinity]*S[3, Infinity])/
    4 + (61*S[5, Infinity])/8 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 0, 0, 1] -> S[-1, Infinity]^5/60 - 
   (S[-1, Infinity]^4*S[1, Infinity])/12 - (S[-1, Infinity]^3*S[2, Infinity])/
    6 + (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/10 + (S[1, Infinity]*S[2, Infinity]^2)/
    5 + (3*S[1, Infinity]^2*S[3, Infinity])/8 - 
   2*S[2, Infinity]*S[3, Infinity] + (15*S[5, Infinity])/8 + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 0, 1, 1] -> -S[-1, Infinity]^5/40 + 
   (S[-1, Infinity]^4*S[1, Infinity])/8 + (S[-1, Infinity]^3*S[2, Infinity])/
    12 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/2 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (29*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (5*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (19*S[2, Infinity]*S[3, Infinity])/16 - (23*S[5, Infinity])/64 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 1, -1, 1] -> S[-1, Infinity]^5/40 - 
   (S[-1, Infinity]^4*S[1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/3 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (9*S[1, Infinity]*S[2, Infinity]^2)/40 - S[-1, Infinity]^2*
    S[3, Infinity] + 2*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] - 
   (S[1, Infinity]^2*S[3, Infinity])/8 + (9*S[2, Infinity]*S[3, Infinity])/
    8 + (23*S[5, Infinity])/64 + 3*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 1, 0, 1] -> -S[-1, Infinity]^5/20 + 
   (S[-1, Infinity]^4*S[1, Infinity])/8 - (S[-1, Infinity]^3*S[2, Infinity])/
    12 + (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (47*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[1, Infinity]*S[2, Infinity]^2)/8 - (S[1, Infinity]^2*S[3, Infinity])/
    2 + (9*S[2, Infinity]*S[3, Infinity])/4 + (29*S[5, Infinity])/64 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 1, 1, 1] -> -(S[-1, Infinity]^3*S[1, Infinity]^2)/12 + 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/4 + (7*S[1, Infinity]^2*S[3, Infinity])/
    16 - (7*S[2, Infinity]*S[3, Infinity])/16 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 0, -1, -1, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^3*S[2, Infinity])/6 - (3*S[1, Infinity]*S[2, Infinity]^2)/
    40 + (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (S[1, Infinity]^2*S[3, Infinity])/16 - (S[2, Infinity]*S[3, Infinity])/
    16 - (25*S[5, Infinity])/32 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, Infinity], H[1, 1, 0, -1, 0, 1] -> 
  (17*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[1, Infinity]^2*S[3, Infinity])/4 + (15*S[2, Infinity]*S[3, Infinity])/
    16 - (41*S[5, Infinity])/32, H[1, 1, 0, -1, 1, 1] -> 
  S[-1, Infinity]^5/120 - (S[-1, Infinity]^4*S[1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (13*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (9*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/16 + 
   (13*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (3*S[2, Infinity]*S[3, Infinity])/8 + (81*S[5, Infinity])/64 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 0, 0, -1, 1] -> -S[-1, Infinity]^5/15 + 
   (S[-1, Infinity]^4*S[1, Infinity])/12 + (S[-1, Infinity]^3*S[2, Infinity])/
    3 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/2 - 
   (11*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 + 
   (3*S[1, Infinity]^2*S[3, Infinity])/8 - (3*S[2, Infinity]*S[3, Infinity])/
    4 - (15*S[5, Infinity])/32 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 0, 0, 0, 1] -> (-2*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   S[2, Infinity]*S[3, Infinity] + 2*S[5, Infinity], 
 H[1, 1, 0, 0, 1, 1] -> -(S[1, Infinity]*S[2, Infinity]^2)/2 + 
   (S[1, Infinity]^2*S[3, Infinity])/2 + (S[2, Infinity]*S[3, Infinity])/2 - 
   S[5, Infinity]/2, H[1, 1, 0, 1, -1, 1] -> (11*S[-1, Infinity]^5)/120 + 
   (S[-1, Infinity]^4*S[1, Infinity])/24 - 
   (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (13*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]^2*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/4 - 
   (S[1, Infinity]^2*S[3, Infinity])/2 + (11*S[2, Infinity]*S[3, Infinity])/
    8 + (81*S[5, Infinity])/64 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 0, 1, 0, 1] -> (7*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   S[1, Infinity]^2*S[3, Infinity] + 3*S[2, Infinity]*S[3, Infinity] - 
   (11*S[5, Infinity])/2, H[1, 1, 0, 1, 1, 1] -> 
  (-6*S[1, Infinity]*S[2, Infinity]^2)/5 + (S[1, Infinity]^2*S[3, Infinity])/
    2 - (S[2, Infinity]*S[3, Infinity])/2 + 6*S[5, Infinity], 
 H[1, 1, 1, -1, -1, 1] -> -S[-1, Infinity]^5/40 + 
   (S[-1, Infinity]^4*S[1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, Infinity]^2)/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^3)/12 + 
   (S[-1, Infinity]^3*S[2, Infinity])/3 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[2, Infinity]^2)/5 - (S[1, Infinity]*S[2, Infinity]^2)/
    20 + (2*S[-1, Infinity]^2*S[3, Infinity])/3 - 
   S[-1, Infinity]*S[1, Infinity]*S[3, Infinity] + 
   (S[1, Infinity]^2*S[3, Infinity])/16 - (9*S[2, Infinity]*S[3, Infinity])/
    16 + S[5, Infinity]/32 - S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 1, -1, 0, 1] -> S[-1, Infinity]^5/40 - 
   (S[-1, Infinity]^4*S[1, Infinity])/8 + 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (S[1, Infinity]^3*S[2, Infinity])/12 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
   (4*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (13*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (89*S[2, Infinity]*S[3, Infinity])/48 - S[5, Infinity]/32 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 1, -1, 1, 1] -> (S[-1, Infinity]^3*S[1, Infinity]^2)/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^3)/12 - 
   (S[-1, Infinity]^3*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/2 + 
   (S[1, Infinity]^3*S[2, Infinity])/12 + (S[-1, Infinity]*S[2, Infinity]^2)/
    2 - (S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (S[-1, Infinity]^2*S[3, Infinity])/6 - (7*S[1, Infinity]^2*S[3, Infinity])/
    8 + (25*S[2, Infinity]*S[3, Infinity])/24 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 1, 0, -1, 1] -> -S[-1, Infinity]^5/30 + 
   (S[-1, Infinity]^4*S[1, Infinity])/24 + (S[-1, Infinity]^3*S[2, Infinity])/
    6 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[1, Infinity]^3*S[2, Infinity])/12 - (3*S[1, Infinity]*S[2, Infinity]^2)/
    8 + (7*S[-1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/8 - 
   (5*S[1, Infinity]^2*S[3, Infinity])/16 + (S[2, Infinity]*S[3, Infinity])/
    24 - (27*S[5, Infinity])/32 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 1, 0, 0, 1] -> -(S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (S[1, Infinity]^2*S[3, Infinity])/2 - (3*S[2, Infinity]*S[3, Infinity])/
    2 + 2*S[5, Infinity], H[1, 1, 1, 0, 1, 1] -> 
  (S[1, Infinity]^3*S[2, Infinity])/6 + (7*S[1, Infinity]*S[2, Infinity]^2)/
    10 - S[1, Infinity]^2*S[3, Infinity] + (4*S[2, Infinity]*S[3, Infinity])/
    3 - 4*S[5, Infinity], H[1, 1, 1, 1, -1, 1] -> 
  -(S[-1, Infinity]^3*S[1, Infinity]^2)/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^3)/12 - 
   (S[-1, Infinity]*S[1, Infinity]^4)/24 + (S[-1, Infinity]^3*S[2, Infinity])/
    12 - (S[-1, Infinity]^2*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[2, Infinity])/2 - 
   (S[1, Infinity]^3*S[2, Infinity])/12 - 
   (11*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]*S[2, Infinity]^2)/4 + (S[-1, Infinity]^2*S[3, Infinity])/
    6 - (S[-1, Infinity]*S[1, Infinity]*S[3, Infinity])/3 + 
   (7*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (29*S[2, Infinity]*S[3, Infinity])/48 + 
   S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 1, 1, 0, 1] -> -(S[1, Infinity]^3*S[2, Infinity])/6 + 
   (S[1, Infinity]*S[2, Infinity]^2)/10 + (S[1, Infinity]^2*S[3, Infinity])/
    2 - (5*S[2, Infinity]*S[3, Infinity])/6 + S[5, Infinity], 
 H[1, 1, 1, 1, 1, 1] -> S[1, Infinity]^5/120 - 
   (S[1, Infinity]^3*S[2, Infinity])/12 + (S[1, Infinity]*S[2, Infinity]^2)/
    40 + (S[1, Infinity]^2*S[3, Infinity])/6 - 
   (S[2, Infinity]*S[3, Infinity])/6 + S[5, Infinity]/5, 
 H[-1, -1, -1, -1, -1, -1, 1] -> S[-1, Infinity]^6/720, 
 H[-1, -1, -1, -1, -1, 0, 1] -> S[-1, Infinity]^6/720 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (8*S[2, Infinity]^3)/35 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - S[-1, Infinity]*S[5, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, -1, -1, 1, 1] -> 
  (-11*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (8*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, -1, 0, -1, 1] -> 
  S[-1, Infinity]^6/720 + (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (8*S[2, Infinity]^3)/7 + 
   (S[-1, Infinity]^3*S[3, Infinity])/3 + 4*S[-1, Infinity]*S[5, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, -1, 0, 0, 1] -> 
  -S[-1, Infinity]^6/360 + (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (19*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - S[3, Infinity]^2/8 + 
   2*S[-1, Infinity]*S[5, Infinity] + S[-5, -1, Infinity]/2 + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, -1, 0, 1, 1] -> 
  -S[-1, Infinity]^6/180 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (6*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/4 - (17*S[3, Infinity]^2)/128 + 
   (27*S[-1, Infinity]*S[5, Infinity])/32 + S[-5, -1, Infinity]/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, -1, 1, -1, 1] -> 
  (5*S[-1, Infinity]^6)/144 - (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (8*S[2, Infinity]^3)/7 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   S[-1, Infinity]*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, -1, 1, 0, 1] -> 
  (29*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (26*S[2, Infinity]^3)/35 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (17*S[3, Infinity]^2)/128 + (S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/2 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, -1, 1, 1, 1] -> 
  S[-1, Infinity]^6/144 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (13*S[2, Infinity]^3)/35 - (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   S[3, Infinity]^2/8 + (S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/2 - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 0, -1, -1, 1] -> 
  S[-1, Infinity]^6/720 - (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (16*S[2, Infinity]^3)/7 - (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   6*S[-1, Infinity]*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 0, -1, 0, 1] -> 
  S[-1, Infinity]^6/180 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (121*S[2, Infinity]^3)/105 - 
   (S[-1, Infinity]^3*S[3, Infinity])/3 - S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (23*S[3, Infinity]^2)/32 - 
   (11*S[-1, Infinity]*S[5, Infinity])/2 - (9*S[-5, -1, Infinity])/4 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 0, -1, 1, 1] -> 
  (-13*S[-1, Infinity]^6)/180 + (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (2*S[2, Infinity]^3)/35 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 - (73*S[3, Infinity]^2)/64 - 
   (81*S[-1, Infinity]*S[5, Infinity])/64 + (11*S[-5, -1, Infinity])/4 + 
   (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 0, 0, -1, 1] -> 
  -S[-1, Infinity]^6/90 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (107*S[2, Infinity]^3)/105 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (7*S[3, Infinity]^2)/32 - (47*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 0, 0, 0, 1] -> 
  (-7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (59*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (7*S[3, Infinity]^2)/8 - 2*S[-1, Infinity]*S[5, Infinity] - 
   (3*S[-5, -1, Infinity])/2, H[-1, -1, -1, 0, 0, 1, 1] -> 
  S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (337*S[2, Infinity]^3)/840 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (9*S[3, Infinity]^2)/64 - 
   (15*S[-1, Infinity]*S[5, Infinity])/32 - (3*S[-5, -1, Infinity])/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 0, 1, -1, 1] -> 
  (11*S[-1, Infinity]^6)/180 - (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (22*S[2, Infinity]^3)/35 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (107*S[3, Infinity]^2)/64 - (143*S[-1, Infinity]*S[5, Infinity])/64 - 
   (19*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 0, 1, 0, 1] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (61*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (247*S[2, Infinity]^3)/336 - 
   (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (109*S[3, Infinity]^2)/128 - (41*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 0, 1, 1, 1] -> 
  S[-1, Infinity]^6/80 - (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (17*S[2, Infinity]^3)/280 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (49*S[3, Infinity]^2)/128 + (25*S[-1, Infinity]*S[5, Infinity])/32 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, -1, 1, -1, -1, 1] -> -S[-1, Infinity]^6/36 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (16*S[2, Infinity]^3)/7 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 4*S[-1, Infinity]*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 1, -1, 0, 1] -> 
  (-19*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (79*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (73*S[3, Infinity]^2)/64 - (29*S[-1, Infinity]*S[5, Infinity])/64 - 
   (11*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 1, -1, 1, 1] -> 
  -S[-1, Infinity]^6/72 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (122*S[2, Infinity]^3)/105 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - (23*S[3, Infinity]^2)/32 + 
   (23*S[-1, Infinity]*S[5, Infinity])/64 + (9*S[-5, -1, Infinity])/4 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 1, 0, -1, 1] -> 
  (-31*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (5*S[2, Infinity]^3)/7 + 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (107*S[3, Infinity]^2)/64 + (333*S[-1, Infinity]*S[5, Infinity])/64 + 
   (19*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 1, 0, 0, 1] -> 
  -S[-1, Infinity]^6/40 + (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (279*S[2, Infinity]^3)/280 + (S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (101*S[3, Infinity]^2)/128 + (15*S[-1, Infinity]*S[5, Infinity])/8 + 
   (3*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, -1, 1, 0, 1, 1] -> (-23*S[-1, Infinity]^6)/360 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (449*S[2, Infinity]^3)/560 + 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (31*S[3, Infinity]^2)/16 - (61*S[-1, Infinity]*S[5, Infinity])/8 - 
   4*S[-5, -1, Infinity] + (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 1, 1, -1, 1] -> 
  S[-1, Infinity]^6/360 - (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (34*S[2, Infinity]^3)/105 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (7*S[3, Infinity]^2)/32 - (157*S[-1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity]/4 - S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, -1, 1, 1, 0, 1] -> S[-1, Infinity]^6/80 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (71*S[2, Infinity]^3)/56 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (153*S[3, Infinity]^2)/128 + (123*S[-1, Infinity]*S[5, Infinity])/32 + 
   (9*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, -1, 1, 1, 1, 1] -> 
  S[-1, Infinity]^6/90 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (23*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - S[3, Infinity]^2/2 + 
   (63*S[-1, Infinity]*S[5, Infinity])/32 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, -1, -1, -1, 1] -> (-19*S[-1, Infinity]^6)/720 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (16*S[2, Infinity]^3)/7 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 4*S[-1, Infinity]*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, -1, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + S[2, Infinity]^3/5 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (179*S[3, Infinity]^2)/128 + (9*S[-1, Infinity]*S[5, Infinity])/2 + 
   (15*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2, H[-1, -1, 0, -1, -1, 1, 1] -> (7*S[-1, Infinity]^6)/80 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (89*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (2*S[2, Infinity]^3)/5 + 
   (45*S[3, Infinity]^2)/32 + (23*S[-1, Infinity]*S[5, Infinity])/64 - 
   (15*S[-5, -1, Infinity])/4 - 
   (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, -1, 0, -1, 1] -> S[-1, Infinity]^6/60 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (107*S[2, Infinity]^3)/35 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (41*S[3, Infinity]^2)/64 + (407*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, -1, 0, 0, 1] -> 
  (21*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (13*S[2, Infinity]^3)/12 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (145*S[3, Infinity]^2)/64 + (11*S[-1, Infinity]*S[5, Infinity])/2 + 
   (7*S[-5, -1, Infinity])/2, H[-1, -1, 0, -1, 0, 1, 1] -> 
  -S[-1, Infinity]^6/45 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (103*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (3*S[2, Infinity]^3)/80 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (83*S[3, Infinity]^2)/128 + (89*S[-1, Infinity]*S[5, Infinity])/64 + 
   (5*S[-5, -1, Infinity])/4 + 5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, -1, 1, -1, 1] -> 
  (-25*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (6*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (34*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (39*S[3, Infinity]^2)/64 + (23*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, -1, 1, 0, 1] -> 
  S[-1, Infinity]^6/20 + (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (43*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (1213*S[2, Infinity]^3)/560 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (95*S[3, Infinity]^2)/16 - (257*S[-1, Infinity]*S[5, Infinity])/64 - 
   (25*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, -1, 1, 1, 1] -> 
  S[-1, Infinity]^6/60 + (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (111*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (173*S[2, Infinity]^3)/560 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (69*S[3, Infinity]^2)/32 - (85*S[-1, Infinity]*S[5, Infinity])/64 + 
   (9*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 0, -1, -1, 1] -> 
  -S[-1, Infinity]^6/40 + (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + S[3, Infinity]^2/128 - 
   (125*S[-1, Infinity]*S[5, Infinity])/64 + S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 0, -1, 0, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (593*S[2, Infinity]^3)/840 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (13*S[3, Infinity]^2)/32 - (9*S[-1, Infinity]*S[5, Infinity])/2 - 
   (3*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 0, -1, 1, 1] -> (13*S[-1, Infinity]^6)/360 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (247*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (217*S[3, Infinity]^2)/128 + (311*S[-1, Infinity]*S[5, Infinity])/64 + 
   (9*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 0, 0, -1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (149*S[2, Infinity]^3)/168 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (49*S[3, Infinity]^2)/64 + (189*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 0, 0, 0, 1] -> (23*S[2, Infinity]^3)/70 - 
   (3*S[3, Infinity]^2)/4 + S[-1, Infinity]*S[5, Infinity] + 
   S[-5, -1, Infinity], H[-1, -1, 0, 0, 0, 1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (115*S[2, Infinity]^3)/168 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + (3*S[3, Infinity]^2)/8 + 
   (59*S[-1, Infinity]*S[5, Infinity])/32 + 2*S[2, Infinity]*
    S[-1, 1, 1, 1, Infinity], H[-1, -1, 0, 0, 1, -1, 1] -> 
  S[-1, Infinity]^6/90 + (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (4*S[2, Infinity]^3)/5 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (5*S[3, Infinity]^2)/8 - (77*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/4 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 0, 1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (179*S[2, Infinity]^3)/420 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (105*S[3, Infinity]^2)/64 - (83*S[-1, Infinity]*S[5, Infinity])/16 - 
   (5*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 0, 1, 1, 1] -> -S[-1, Infinity]^6/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (19*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - S[3, Infinity]^2/4 - 
   (39*S[-1, Infinity]*S[5, Infinity])/16 - (3*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/48 + (17*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (61*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (16*S[2, Infinity]^3)/35 - 
   (45*S[3, Infinity]^2)/16 + (151*S[-1, Infinity]*S[5, Infinity])/32 + 
   (15*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 1, -1, 0, 1] -> 
  -S[-1, Infinity]^6/20 - (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (41*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (195*S[2, Infinity]^3)/112 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (659*S[3, Infinity]^2)/128 + (363*S[-1, Infinity]*S[5, Infinity])/64 + 
   14*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 1, -1, 1, 1] -> 
  (-11*S[-1, Infinity]^6)/240 - (13*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (11*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + (165*S[3, Infinity]^2)/128 + 
   (101*S[-1, Infinity]*S[5, Infinity])/64 - 3*S[-5, -1, Infinity] + 
   5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 1, 0, -1, 1] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (71*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (997*S[2, Infinity]^3)/560 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (113*S[3, Infinity]^2)/64 - (33*S[-1, Infinity]*S[5, Infinity])/32 - 
   (9*S[-5, -1, Infinity])/2 - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 1, 0, 0, 1] -> (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (1033*S[2, Infinity]^3)/1680 + (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 - (69*S[3, Infinity]^2)/64 + 
   (67*S[-1, Infinity]*S[5, Infinity])/16 + (5*S[-5, -1, Infinity])/2, 
 H[-1, -1, 0, 1, 0, 1, 1] -> -S[-1, Infinity]^6/45 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (247*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[3, Infinity]^2)/128 + (33*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 0, 1, 1, -1, 1] -> 
  -S[-1, Infinity]^6/60 + (3*S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (69*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (41*S[2, Infinity]^3)/280 - 
   (9*S[3, Infinity]^2)/32 - (29*S[-1, Infinity]*S[5, Infinity])/16 + 
   (3*S[-5, -1, Infinity])/4 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 0, 1, 1, 0, 1] -> -(S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (61*S[2, Infinity]^3)/560 + (S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (35*S[3, Infinity]^2)/128 + 
   (5*S[-1, Infinity]*S[5, Infinity])/8 + (3*S[-5, -1, Infinity])/4, 
 H[-1, -1, 0, 1, 1, 1, 1] -> S[-1, Infinity]^6/180 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (9*S[2, Infinity]^3)/40 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + (17*S[3, Infinity]^2)/128 - 
   (S[-1, Infinity]*S[5, Infinity])/8 - S[-5, -1, Infinity]/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, -1, -1, -1, 1] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (16*S[2, Infinity]^3)/7 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 6*S[-1, Infinity]*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, -1, -1, 0, 1] -> 
  (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (13*S[2, Infinity]^3)/7 + 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (89*S[3, Infinity]^2)/64 - (29*S[-1, Infinity]*S[5, Infinity])/64 + 
   (15*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, -1, -1, 1, 1] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (44*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + (181*S[3, Infinity]^2)/128 - 
   (81*S[-1, Infinity]*S[5, Infinity])/64 - (15*S[-5, -1, Infinity])/4 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, -1, 0, -1, 1] -> 
  -S[-1, Infinity]^6/240 + (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (107*S[2, Infinity]^3)/35 - 
   (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (41*S[3, Infinity]^2)/64 - (349*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, -1, 0, 0, 1] -> 
  -S[-1, Infinity]^6/120 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (1091*S[2, Infinity]^3)/560 + 
   (S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (23*S[3, Infinity]^2)/64 - (159*S[-1, Infinity]*S[5, Infinity])/64 + 
   (7*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, -1, 0, 1, 1] -> 
  (3*S[-1, Infinity]^6)/40 - (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (33*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (233*S[2, Infinity]^3)/112 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (31*S[3, Infinity]^2)/8 + (845*S[-1, Infinity]*S[5, Infinity])/64 + 
   (15*S[-5, -1, Infinity])/2 - 
   (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   15*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, -1, 1, -1, 1] -> 
  -S[-1, Infinity]^6/360 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (34*S[2, Infinity]^3)/35 + 
   (11*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (43*S[3, Infinity]^2)/64 + (117*S[-1, Infinity]*S[5, Infinity])/16 + 
   (3*S[-5, -1, Infinity])/4 + 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, -1, 1, 0, 1] -> S[-1, Infinity]^6/72 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (859*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (9*S[3, Infinity]^2)/64 + (29*S[-1, Infinity]*S[5, Infinity])/64 - 
   (15*S[-5, -1, Infinity])/4 - 3*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, -1, 1, 1, 1] -> (-7*S[-1, Infinity]^6)/180 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (29*S[2, Infinity]^3)/60 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (191*S[3, Infinity]^2)/128 - (375*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 0, -1, -1, 1] -> S[-1, Infinity]^6/80 - 
   (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (16*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + (181*S[3, Infinity]^2)/64 - 
   (273*S[-1, Infinity]*S[5, Infinity])/32 - (15*S[-5, -1, Infinity])/2 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 0, -1, 0, 1] -> 
  S[-1, Infinity]^6/20 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (44*S[2, Infinity]^3)/105 - 
   (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (101*S[3, Infinity]^2)/128 + (259*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 0, -1, 1, 1] -> -S[-1, Infinity]^6/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (107*S[2, Infinity]^3)/40 + 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (325*S[3, Infinity]^2)/64 - (911*S[-1, Infinity]*S[5, Infinity])/64 - 
   13*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 0, 0, -1, 1] -> 
  -S[-1, Infinity]^6/60 + (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (209*S[2, Infinity]^3)/336 + 
   (S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (179*S[3, Infinity]^2)/64 - (209*S[-1, Infinity]*S[5, Infinity])/16 - 
   (31*S[-5, -1, Infinity])/4 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 0, 0, 0, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (123*S[2, Infinity]^3)/140 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (15*S[3, Infinity]^2)/16 - (91*S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 0, 0, 1, 1] -> (7*S[-1, Infinity]^6)/360 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (2363*S[2, Infinity]^3)/
    1680 - (S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (207*S[3, Infinity]^2)/128 + (27*S[-1, Infinity]*S[5, Infinity])/8 + 
   3*S[-5, -1, Infinity] - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 0, 1, -1, 1] -> -S[-1, Infinity]^6/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 3*S[2, Infinity]^3 + 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (449*S[3, Infinity]^2)/64 + (1445*S[-1, Infinity]*S[5, Infinity])/64 + 
   (35*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 16*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 30*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 0, 1, 0, 1] -> S[-1, Infinity]^6/20 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (19*S[2, Infinity]^3)/84 - 
   (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (161*S[3, Infinity]^2)/64 + (129*S[-1, Infinity]*S[5, Infinity])/16 + 
   (5*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 0, 1, 1, 1] -> S[-1, Infinity]^6/720 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (163*S[2, Infinity]^3)/560 + 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (225*S[3, Infinity]^2)/128 - (87*S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 1, -1, -1, 1] -> 
  S[-1, Infinity]^6/720 + (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + S[3, Infinity]^2/128 + 
   (3*S[-1, Infinity]*S[5, Infinity])/64, H[-1, -1, 1, 1, -1, 0, 1] -> 
  (-7*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (361*S[2, Infinity]^3)/560 + 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (69*S[3, Infinity]^2)/32 - (405*S[-1, Infinity]*S[5, Infinity])/64 - 
   (11*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 1, -1, 1, 1] -> 
  (29*S[-1, Infinity]^6)/720 - (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + S[2, Infinity]^3/140 - 
   (11*S[-1, Infinity]^3*S[3, Infinity])/24 - (83*S[3, Infinity]^2)/64 + 
   (369*S[-1, Infinity]*S[5, Infinity])/64 + 3*S[-5, -1, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 1, 0, -1, 1] -> 
  (13*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (13*S[2, Infinity]^3)/8 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (201*S[3, Infinity]^2)/128 - (85*S[-1, Infinity]*S[5, Infinity])/64 - 
   (17*S[-5, -1, Infinity])/4 - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 11*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 1, 0, 0, 1] -> (-7*S[-1, Infinity]^6)/360 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (31*S[2, Infinity]^3)/28 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (267*S[3, Infinity]^2)/128 - (153*S[-1, Infinity]*S[5, Infinity])/32 - 
   (11*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, -1, 1, 1, 0, 1, 1] -> S[-1, Infinity]^6/45 - 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (289*S[2, Infinity]^3)/280 - 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (21*S[3, Infinity]^2)/64 - (35*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 1, 1, -1, 1] -> 
  (-7*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 - S[2, Infinity]^3/60 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (167*S[3, Infinity]^2)/128 - (187*S[-1, Infinity]*S[5, Infinity])/32 - 
   3*S[-5, -1, Infinity] + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 1, 1, 0, 1] -> 
  -S[-1, Infinity]^6/45 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (11*S[2, Infinity]^3)/14 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (3*S[3, Infinity]^2)/32 - (15*S[-1, Infinity]*S[5, Infinity])/16 + 
   (7*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, -1, 1, 1, 1, 1, 1] -> 
  -S[-1, Infinity]^6/240 + (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 - S[2, Infinity]^3/5 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (5*S[3, Infinity]^2)/8 + S[-1, Infinity]*S[5, Infinity] + 
   S[-5, -1, Infinity]/2 + S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, -1, -1, -1, 1] -> 
  (13*S[-1, Infinity]^6)/360 - (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (8*S[2, Infinity]^3)/7 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   S[-1, Infinity]*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, -1, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + S[2, Infinity]^3/15 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (59*S[3, Infinity]^2)/64 - 3*S[-1, Infinity]*S[5, Infinity] - 
   (5*S[-5, -1, Infinity])/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[-1, 0, -1, -1, -1, 1, 1] -> (-17*S[-1, Infinity]^6)/240 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (8*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (17*S[3, Infinity]^2)/32 + (S[-1, Infinity]*S[5, Infinity])/32 + 
   2*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, -1, 0, -1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (3*S[2, Infinity]^3)/5 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + S[3, Infinity]^2/32 - 
   (177*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[-1, 0, -1, -1, 0, 0, 1] -> (-22*S[2, Infinity]^3)/105 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (25*S[3, Infinity]^2)/32 + (S[-1, Infinity]*S[5, Infinity])/2 + 
   S[-5, -1, Infinity], H[-1, 0, -1, -1, 0, 1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (87*S[2, Infinity]^3)/112 - 
   (37*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (131*S[3, Infinity]^2)/128 + (53*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/4 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, -1, 1, -1, 1] -> (7*S[-1, Infinity]^6)/240 + 
   (19*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (52*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (39*S[3, Infinity]^2)/32 - (61*S[-1, Infinity]*S[5, Infinity])/32 + 
   (3*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 9*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, -1, 1, 0, 1] -> (-7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (33*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (352*S[2, Infinity]^3)/105 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (289*S[3, Infinity]^2)/64 + (99*S[-1, Infinity]*S[5, Infinity])/64 + 
   8*S[-5, -1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, -1, 1, 1, 1] -> 
  S[-1, Infinity]^6/72 - (3*S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (167*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (479*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (179*S[3, Infinity]^2)/64 + (277*S[-1, Infinity]*S[5, Infinity])/64 - 
   (17*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   11*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 0, -1, -1, 1] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (86*S[2, Infinity]^3)/35 - (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 - (43*S[3, Infinity]^2)/64 + 
   (5*S[-1, Infinity]*S[5, Infinity])/16 + (3*S[-5, -1, Infinity])/4 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 0, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (3*S[2, Infinity]^3)/560 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + (23*S[3, Infinity]^2)/16 - 
   2*S[-1, Infinity]*S[5, Infinity] - 4*S[-5, -1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[-1, 0, -1, 0, -1, 1, 1] -> 
  -S[-1, Infinity]^6/10 + (S[-1, Infinity]^4*S[2, Infinity])/2 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (97*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (53*S[3, Infinity]^2)/32 - (227*S[-1, Infinity]*S[5, Infinity])/32 + 
   4*S[-5, -1, Infinity] + 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, 0, 0, -1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (589*S[2, Infinity]^3)/336 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + (49*S[3, Infinity]^2)/32 - 
   (361*S[-1, Infinity]*S[5, Infinity])/32 - 5*S[-5, -1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[-1, 0, -1, 0, 0, 0, 1] -> 
  (-391*S[2, Infinity]^3)/420 + (9*S[3, Infinity]^2)/4 - 
   4*S[-1, Infinity]*S[5, Infinity] - 4*S[-5, -1, Infinity], 
 H[-1, 0, -1, 0, 0, 1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]^2 - (11*S[2, Infinity]^3)/12 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (87*S[3, Infinity]^2)/64 - (11*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, 0, 1, -1, 1] -> S[-1, Infinity]^6/90 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (76*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (77*S[3, Infinity]^2)/32 + (13*S[-1, Infinity]*S[5, Infinity])/8 - 
   8*S[-5, -1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 0, 1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (97*S[2, Infinity]^3)/560 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (27*S[3, Infinity]^2)/16 + 2*S[-1, Infinity]*S[5, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[-1, 0, -1, 0, 1, 1, 1] -> 
  S[-1, Infinity]^6/18 - (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (87*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (105*S[3, Infinity]^2)/128 + (103*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/16 - (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (86*S[2, Infinity]^3)/35 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (39*S[3, Infinity]^2)/64 + (343*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (1339*S[2, Infinity]^3)/210 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 8*S[3, Infinity]^2 - 
   (19*S[-1, Infinity]*S[5, Infinity])/4 - 21*S[-5, -1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, -1, 1, 1] -> 
  (11*S[-1, Infinity]^6)/360 + (13*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (127*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (799*S[2, Infinity]^3)/280 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (247*S[3, Infinity]^2)/64 - S[-1, Infinity]*S[5, Infinity] + 
   10*S[-5, -1, Infinity] - 22*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, 1, 0, -1, 1] -> -S[-1, Infinity]^6/15 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (1121*S[2, Infinity]^3)/280 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (347*S[3, Infinity]^2)/32 + (817*S[-1, Infinity]*S[5, Infinity])/32 + 
   30*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, 0, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (485*S[2, Infinity]^3)/336 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (57*S[3, Infinity]^2)/32 + (139*S[-1, Infinity]*S[5, Infinity])/32 + 
   4*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, 1, 0, 1, 1] -> -S[-1, Infinity]^6/15 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (41*S[2, Infinity]^3)/14 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (139*S[3, Infinity]^2)/32 - (507*S[-1, Infinity]*S[5, Infinity])/32 - 
   (23*S[-5, -1, Infinity])/2 + 4*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 16*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, -1, 1, 1, -1, 1] -> S[-1, Infinity]^6/24 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + S[2, Infinity]^3/20 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (165*S[3, Infinity]^2)/64 - (101*S[-1, Infinity]*S[5, Infinity])/8 - 
   6*S[-5, -1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, 1, 0, 1] -> 
  (-5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (5651*S[2, Infinity]^3)/1680 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (133*S[3, Infinity]^2)/64 + (7*S[-1, Infinity]*S[5, Infinity])/8 + 
   9*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, -1, 1, 1, 1, 1] -> 
  (-13*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (77*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (559*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   S[3, Infinity]^2/2 + (39*S[-1, Infinity]*S[5, Infinity])/8 - 
   S[-5, -1, Infinity] - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 0, -1, -1, -1, 1] -> 
  S[-1, Infinity]^6/90 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (86*S[2, Infinity]^3)/105 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (7*S[3, Infinity]^2)/32 + (35*S[-1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity]/4 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 0, -1, -1, 0, 1] -> 
  (113*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (17*S[3, Infinity]^2)/64 + 
   (S[-1, Infinity]*S[5, Infinity])/2 + S[-5, -1, Infinity], 
 H[-1, 0, 0, -1, -1, 1, 1] -> S[-1, Infinity]^6/72 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (2113*S[2, Infinity]^3)/
    1680 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (211*S[3, Infinity]^2)/128 + (151*S[-1, Infinity]*S[5, Infinity])/64 - 
   4*S[-5, -1, Infinity] - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, 0, -1, 0, -1, 1] -> (337*S[2, Infinity]^3)/336 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (55*S[3, Infinity]^2)/32 + (269*S[-1, Infinity]*S[5, Infinity])/32 + 
   5*S[-5, -1, Infinity], H[-1, 0, 0, -1, 0, 0, 1] -> 
  (23*S[2, Infinity]^3)/28 - (63*S[3, Infinity]^2)/32 + 
   6*S[-1, Infinity]*S[5, Infinity] + 6*S[-5, -1, Infinity], 
 H[-1, 0, 0, -1, 0, 1, 1] -> (-53*S[2, Infinity]^3)/168 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (15*S[3, Infinity]^2)/64 - (21*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2, H[-1, 0, 0, -1, 1, -1, 1] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (79*S[2, Infinity]^3)/84 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (7*S[3, Infinity]^2)/4 - (343*S[-1, Infinity]*S[5, Infinity])/32 - 
   5*S[-5, -1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, 0, -1, 1, 0, 1] -> (9*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (523*S[2, Infinity]^3)/560 + (9*S[3, Infinity]^2)/4 - 
   (171*S[-1, Infinity]*S[5, Infinity])/32 - 6*S[-5, -1, Infinity], 
 H[-1, 0, 0, -1, 1, 1, 1] -> S[-1, Infinity]^6/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (1139*S[2, Infinity]^3)/
    1680 + (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (55*S[3, Infinity]^2)/128 + (47*S[-1, Infinity]*S[5, Infinity])/8 + 
   (5*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 0, 0, -1, -1, 1] -> 
  (-43*S[2, Infinity]^3)/84 - (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    2 + (55*S[3, Infinity]^2)/64 - (63*S[-1, Infinity]*S[5, Infinity])/16 - 
   (5*S[-5, -1, Infinity])/2, H[-1, 0, 0, 0, -1, 0, 1] -> 
  (-313*S[2, Infinity]^3)/840 + (15*S[3, Infinity]^2)/16 - 
   4*S[-1, Infinity]*S[5, Infinity] - 4*S[-5, -1, Infinity], 
 H[-1, 0, 0, 0, -1, 1, 1] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (47*S[2, Infinity]^3)/105 + (15*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (21*S[3, Infinity]^2)/32 + 
   2*S[-1, Infinity]*S[5, Infinity] + 4*S[-5, -1, Infinity], 
 H[-1, 0, 0, 0, 0, -1, 1] -> (-7*S[2, Infinity]^3)/40 + 
   (9*S[3, Infinity]^2)/32 - (15*S[-1, Infinity]*S[5, Infinity])/16, 
 H[-1, 0, 0, 0, 0, 0, 1] -> (-31*S[2, Infinity]^3)/140, 
 H[-1, 0, 0, 0, 0, 1, 1] -> (15*S[-1, Infinity]*S[5, Infinity])/16 + 
   S[-5, -1, Infinity], H[-1, 0, 0, 0, 1, -1, 1] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (491*S[2, Infinity]^3)/840 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (33*S[3, Infinity]^2)/32 - (91*S[-1, Infinity]*S[5, Infinity])/32 - 
   4*S[-5, -1, Infinity], H[-1, 0, 0, 0, 1, 0, 1] -> 
  (-239*S[2, Infinity]^3)/840 + (3*S[3, Infinity]^2)/4 - 
   (15*S[-1, Infinity]*S[5, Infinity])/4 - 4*S[-5, -1, Infinity], 
 H[-1, 0, 0, 0, 1, 1, 1] -> (71*S[2, Infinity]^3)/840 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + S[3, Infinity]^2/8 + 
   (29*S[-1, Infinity]*S[5, Infinity])/32 + (3*S[-5, -1, Infinity])/2, 
 H[-1, 0, 0, 1, -1, -1, 1] -> (-3*S[-1, Infinity]^6)/40 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (79*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (31*S[2, Infinity]^3)/168 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (173*S[3, Infinity]^2)/64 + (215*S[-1, Infinity]*S[5, Infinity])/32 + 
   (31*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, 0, 1, -1, 0, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (173*S[2, Infinity]^3)/280 - 
   (9*S[3, Infinity]^2)/4 + (139*S[-1, Infinity]*S[5, Infinity])/32 + 
   6*S[-5, -1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 0, 1, -1, 1, 1] -> S[-1, Infinity]^6/20 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (1609*S[2, Infinity]^3)/1680 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - S[3, Infinity]^2/32 - 
   (15*S[-1, Infinity]*S[5, Infinity])/8 - (3*S[-5, -1, Infinity])/4 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 0, 1, 0, -1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (161*S[2, Infinity]^3)/120 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (51*S[3, Infinity]^2)/32 + (289*S[-1, Infinity]*S[5, Infinity])/32 + 
   5*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 0, 1, 0, 0, 1] -> (271*S[2, Infinity]^3)/280 - 
   (81*S[3, Infinity]^2)/32 + (45*S[-1, Infinity]*S[5, Infinity])/8 + 
   6*S[-5, -1, Infinity], H[-1, 0, 0, 1, 0, 1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (23*S[2, Infinity]^3)/168 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (59*S[3, Infinity]^2)/64 - (41*S[-1, Infinity]*S[5, Infinity])/32 - 
   (7*S[-5, -1, Infinity])/2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 0, 1, 1, -1, 1] -> -S[-1, Infinity]^6/72 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (52*S[2, Infinity]^3)/105 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (9*S[3, Infinity]^2)/64 - (15*S[-1, Infinity]*S[5, Infinity])/8 + 
   S[-5, -1, Infinity]/4 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 0, 1, 1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (13*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (5*S[3, Infinity]^2)/4 - (23*S[-1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 0, 1, 1, 1, 1] -> -S[-1, Infinity]^6/36 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (257*S[2, Infinity]^3)/840 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (41*S[3, Infinity]^2)/64 - (33*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, -1, -1, -1, 1] -> (19*S[-1, Infinity]^6)/720 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (18*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (107*S[3, Infinity]^2)/64 - (463*S[-1, Infinity]*S[5, Infinity])/64 - 
   (19*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, -1, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (101*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (5731*S[2, Infinity]^3)/1680 - (S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (557*S[3, Infinity]^2)/128 + 
   (99*S[-1, Infinity]*S[5, Infinity])/64 + (23*S[-5, -1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, -1, -1, 1, 1] -> S[-1, Infinity]^6/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 + S[2, Infinity]^3/56 - 
   (33*S[-1, Infinity]*S[5, Infinity])/64 - S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, -1, 0, -1, 1] -> 
  S[-1, Infinity]^6/15 - (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (55*S[2, Infinity]^3)/14 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   11*S[3, Infinity]^2 - (857*S[-1, Infinity]*S[5, Infinity])/32 - 
   30*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, -1, 0, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (559*S[2, Infinity]^3)/336 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (15*S[3, Infinity]^2)/8 - (171*S[-1, Infinity]*S[5, Infinity])/32 - 
   4*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, -1, 0, 1, 1] -> S[-1, Infinity]^6/15 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (19*S[2, Infinity]^3)/7 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (599*S[3, Infinity]^2)/128 + (547*S[-1, Infinity]*S[5, Infinity])/32 + 
   13*S[-5, -1, Infinity] - 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, -1, 1, -1, 1] -> 
  (-17*S[-1, Infinity]^6)/360 - (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (127*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (20*S[2, Infinity]^3)/7 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (41*S[3, Infinity]^2)/32 + (773*S[-1, Infinity]*S[5, Infinity])/64 - 
   4*S[-5, -1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, -1, 1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (5687*S[2, Infinity]^3)/840 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (55*S[3, Infinity]^2)/8 - 3*S[-1, Infinity]*S[5, Infinity] - 
   21*S[-5, -1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, -1, 1, 1, 1] -> 
  S[-1, Infinity]^6/240 + (19*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (61*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (261*S[2, Infinity]^3)/80 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (147*S[3, Infinity]^2)/64 - (247*S[-1, Infinity]*S[5, Infinity])/32 + 
   7*S[-5, -1, Infinity] + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   18*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 0, -1, -1, 1] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (61*S[2, Infinity]^3)/35 - (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (59*S[3, Infinity]^2)/32 + 
   (11*S[-1, Infinity]*S[5, Infinity])/2 + (9*S[-5, -1, Infinity])/2 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 0, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (75*S[2, Infinity]^3)/112 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (15*S[3, Infinity]^2)/16 + 2*S[-1, Infinity]*S[5, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[-1, 0, 1, 0, -1, 1, 1] -> 
  -S[-1, Infinity]^6/10 + (S[-1, Infinity]^4*S[2, Infinity])/2 - 
   (123*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (183*S[2, Infinity]^3)/140 - 
   (51*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (155*S[3, Infinity]^2)/128 - (331*S[-1, Infinity]*S[5, Infinity])/32 + 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, 0, 0, -1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (403*S[2, Infinity]^3)/240 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (9*S[3, Infinity]^2)/8 - (321*S[-1, Infinity]*S[5, Infinity])/32 - 
   5*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, 0, 0, 0, 1] -> (-143*S[2, Infinity]^3)/168 + 
   (33*S[3, Infinity]^2)/16 - (15*S[-1, Infinity]*S[5, Infinity])/4 - 
   4*S[-5, -1, Infinity], H[-1, 0, 1, 0, 0, 1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/6 - S[-1, Infinity]^2*S[2, Infinity]^2 - 
   (13*S[2, Infinity]^3)/12 - (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 - (43*S[3, Infinity]^2)/32 - 
   (51*S[-1, Infinity]*S[5, Infinity])/32 + (3*S[-5, -1, Infinity])/2 - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[-1, 0, 1, 0, 1, -1, 1] -> 
  S[-1, Infinity]^6/90 + (83*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (20*S[2, Infinity]^3)/7 + (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (53*S[3, Infinity]^2)/32 + (361*S[-1, Infinity]*S[5, Infinity])/64 - 
   4*S[-5, -1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 0, 1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (37*S[2, Infinity]^3)/80 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 2*S[3, Infinity]^2 + 
   (23*S[-1, Infinity]*S[5, Infinity])/4 + 4*S[-5, -1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, 0, 1, 1, 1] -> S[-1, Infinity]^6/18 - 
   (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (411*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (9*S[3, Infinity]^2)/8 + (73*S[-1, Infinity]*S[5, Infinity])/64 - 
   (9*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/72 + (23*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (121*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (8*S[2, Infinity]^3)/5 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (211*S[3, Infinity]^2)/128 - (95*S[-1, Infinity]*S[5, Infinity])/64 + 
   (17*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   11*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 1, -1, 0, 1] -> 
  (-5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (121*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (3097*S[2, Infinity]^3)/840 - (13*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (569*S[3, Infinity]^2)/128 + 
   (7*S[-1, Infinity]*S[5, Infinity])/8 + (21*S[-5, -1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 1, -1, 1, 1] -> 
  (11*S[-1, Infinity]^6)/240 - (13*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (303*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (989*S[2, Infinity]^3)/280 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (501*S[3, Infinity]^2)/128 + (125*S[-1, Infinity]*S[5, Infinity])/32 - 
   (33*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 0, 1, 1, 0, -1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + S[2, Infinity]^3/16 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (25*S[3, Infinity]^2)/128 - (53*S[-1, Infinity]*S[5, Infinity])/64 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[-1, 0, 1, 1, 0, 0, 1] -> (-493*S[2, Infinity]^3)/1680 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + (7*S[3, Infinity]^2)/64 - 
   (23*S[-1, Infinity]*S[5, Infinity])/16 - S[-5, -1, Infinity], 
 H[-1, 0, 1, 1, 0, 1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (89*S[2, Infinity]^3)/112 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (65*S[3, Infinity]^2)/128 + (177*S[-1, Infinity]*S[5, Infinity])/64 + 
   (15*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, 1, 1, -1, 1] -> (-7*S[-1, Infinity]^6)/720 + 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (481*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (177*S[3, Infinity]^2)/128 + (S[-1, Infinity]*S[5, Infinity])/32 + 
   (13*S[-5, -1, Infinity])/4 + 3*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 11*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 0, 1, 1, 1, 0, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (13*S[2, Infinity]^3)/60 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (17*S[3, Infinity]^2)/16 - (59*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[-1, 0, 1, 1, 1, 1, 1] -> -S[-1, Infinity]^6/72 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (49*S[3, Infinity]^2)/128 - S[-1, Infinity]*S[5, Infinity] + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, -1, -1, -1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (8*S[2, Infinity]^3)/7 + 
   (S[-1, Infinity]^3*S[3, Infinity])/3 + 4*S[-1, Infinity]*S[5, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, -1, -1, 0, 1] -> 
  -S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (12*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + S[3, Infinity]^2/2 + 
   (S[-1, Infinity]*S[5, Infinity])/32 - 2*S[-5, -1, Infinity] + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, -1, -1, 1, 1] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (67*S[2, Infinity]^3)/105 - 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (61*S[3, Infinity]^2)/64 + (27*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, -1, 0, -1, 1] -> 
  (7*S[-1, Infinity]^6)/120 - (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (63*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (94*S[2, Infinity]^3)/35 - 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (41*S[3, Infinity]^2)/32 + (151*S[-1, Infinity]*S[5, Infinity])/32 - 
   (3*S[-5, -1, Infinity])/2 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, -1, 0, 0, 1] -> 
  S[-1, Infinity]^6/36 - (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (49*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (73*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (71*S[3, Infinity]^2)/64 + (151*S[-1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity]/4 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, -1, 0, 1, 1] -> 
  -S[-1, Infinity]^6/48 - (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (49*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (1157*S[2, Infinity]^3)/560 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (51*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (341*S[3, Infinity]^2)/128 - (457*S[-1, Infinity]*S[5, Infinity])/64 - 
   (9*S[-5, -1, Infinity])/2 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, -1, 1, -1, 1] -> 
  (-13*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (3*S[2, Infinity]^3)/5 - 
   (S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + S[3, Infinity]^2/32 - 
   (369*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, -1, 1, 0, 1] -> -S[-1, Infinity]^6/30 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (121*S[2, Infinity]^3)/280 + 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (37*S[3, Infinity]^2)/64 - (33*S[-1, Infinity]*S[5, Infinity])/64 + 
   (7*S[-5, -1, Infinity])/4 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, -1, 1, 1, 1] -> -S[-1, Infinity]^6/180 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (397*S[2, Infinity]^3)/840 + 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (11*S[3, Infinity]^2)/64 - (3*S[-1, Infinity]*S[5, Infinity])/64 - 
   3*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, 0, -1, -1, 1] -> -S[-1, Infinity]^6/240 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (13*S[2, Infinity]^3)/35 + 
   (11*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (41*S[3, Infinity]^2)/64 + (291*S[-1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 0, -1, 0, 1] -> 
  (-7*S[-1, Infinity]^6)/180 + (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (605*S[2, Infinity]^3)/336 + 
   (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (55*S[3, Infinity]^2)/16 - (227*S[-1, Infinity]*S[5, Infinity])/32 - 
   9*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 0, -1, 1, 1] -> 
  S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (321*S[2, Infinity]^3)/70 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (485*S[3, Infinity]^2)/64 + (245*S[-1, Infinity]*S[5, Infinity])/16 + 
   20*S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   42*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 0, 0, -1, 1] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (1769*S[2, Infinity]^3)/1680 + 
   (S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (31*S[3, Infinity]^2)/16 + (295*S[-1, Infinity]*S[5, Infinity])/32 + 
   5*S[-5, -1, Infinity], H[-1, 1, -1, 0, 0, 0, 1] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (159*S[2, Infinity]^3)/560 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[3, Infinity]^2)/4 + 2*S[-1, Infinity]*S[5, Infinity], 
 H[-1, 1, -1, 0, 0, 1, 1] -> S[-1, Infinity]^6/360 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + S[2, Infinity]^3/1680 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[3, Infinity]^2)/4 + (15*S[-1, Infinity]*S[5, Infinity])/32 + 
   (11*S[-5, -1, Infinity])/4 - 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, 0, 1, -1, 1] -> S[-1, Infinity]^6/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (93*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (323*S[2, Infinity]^3)/70 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   10*S[3, Infinity]^2 - (1655*S[-1, Infinity]*S[5, Infinity])/64 - 
   26*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   19*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 0, 1, 0, 1] -> 
  (-7*S[-1, Infinity]^6)/180 + (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (51*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (433*S[2, Infinity]^3)/336 + 
   (S[-1, Infinity]^3*S[3, Infinity])/4 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (81*S[3, Infinity]^2)/16 - (331*S[-1, Infinity]*S[5, Infinity])/32 - 
   9*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 0, 1, 1, 1] -> 
  (-11*S[-1, Infinity]^6)/720 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (99*S[2, Infinity]^3)/140 + 
   (11*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (273*S[3, Infinity]^2)/128 + (99*S[-1, Infinity]*S[5, Infinity])/32 + 
   (9*S[-5, -1, Infinity])/4 + 3*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, -1, 1, -1, -1, 1] -> (31*S[-1, Infinity]^6)/720 - 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (31*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (13*S[2, Infinity]^3)/35 - 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (41*S[3, Infinity]^2)/64 - (105*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 1, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (33*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + S[3, Infinity]^2/4 - 
   S[-1, Infinity]*S[5, Infinity], H[-1, 1, -1, 1, -1, 1, 1] -> 
  -S[-1, Infinity]^6/720 + (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/80 + S[2, Infinity]^3/112 + 
   (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - S[3, Infinity]^2/32 + 
   (3*S[-1, Infinity]*S[5, Infinity])/16, H[-1, 1, -1, 1, 0, -1, 1] -> 
  (7*S[-1, Infinity]^6)/180 - (11*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (1201*S[2, Infinity]^3)/560 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (9*S[3, Infinity]^2)/8 + (S[-1, Infinity]*S[5, Infinity])/8 + 
   4*S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 1, 0, 0, 1] -> 
  (-19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (89*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (11*S[3, Infinity]^2)/16 - (15*S[-1, Infinity]*S[5, Infinity])/8, 
 H[-1, 1, -1, 1, 0, 1, 1] -> (5*S[-1, Infinity]^6)/144 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (163*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (117*S[3, Infinity]^2)/64 + (61*S[-1, Infinity]*S[5, Infinity])/8 + 
   (19*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   13*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 1, 1, -1, 1] -> 
  (-13*S[-1, Infinity]^6)/720 + (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/80 + S[2, Infinity]^3/80 + 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (167*S[3, Infinity]^2)/64 + (721*S[-1, Infinity]*S[5, Infinity])/64 + 
   6*S[-5, -1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 1, 1, 0, 1] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   S[2, Infinity]^3/8 + (S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (129*S[3, Infinity]^2)/64 + (125*S[-1, Infinity]*S[5, Infinity])/32 + 
   (3*S[-5, -1, Infinity])/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, -1, 1, 1, 1, 1] -> 
  S[-1, Infinity]^6/240 - (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (23*S[2, Infinity]^3)/35 - 
   (S[-1, Infinity]^3*S[3, Infinity])/3 + S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (55*S[3, Infinity]^2)/32 - 
   4*S[-1, Infinity]*S[5, Infinity] - (9*S[-5, -1, Infinity])/4 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, -1, -1, -1, 1] -> 
  (-11*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (3*S[2, Infinity]^3)/7 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (107*S[3, Infinity]^2)/64 + (333*S[-1, Infinity]*S[5, Infinity])/64 + 
   (19*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, -1, -1, 0, 1] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (17*S[2, Infinity]^3)/112 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (19*S[3, Infinity]^2)/128 + (53*S[-1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity], H[-1, 1, 0, -1, -1, 1, 1] -> 
  -S[-1, Infinity]^6/80 - (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (87*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (189*S[2, Infinity]^3)/80 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + (459*S[3, Infinity]^2)/128 - 
   (457*S[-1, Infinity]*S[5, Infinity])/64 - 10*S[-5, -1, Infinity] + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 7*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 0, -1, 0, -1, 1] -> (7*S[-1, Infinity]^6)/180 - 
   (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (369*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (69*S[3, Infinity]^2)/32 + (123*S[-1, Infinity]*S[5, Infinity])/16 + 
   8*S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, -1, 0, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (347*S[2, Infinity]^3)/336 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (3*S[3, Infinity]^2)/32 - (21*S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 1, 0, -1, 0, 1, 1] -> -S[-1, Infinity]^6/30 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (251*S[2, Infinity]^3)/112 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (173*S[3, Infinity]^2)/64 - (123*S[-1, Infinity]*S[5, Infinity])/16 - 
   (9*S[-5, -1, Infinity])/2 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, -1, 1, -1, 1] -> 
  -S[-1, Infinity]^6/40 + (2*S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (1537*S[2, Infinity]^3)/280 - 
   (39*S[3, Infinity]^2)/4 + (845*S[-1, Infinity]*S[5, Infinity])/64 + 
   26*S[-5, -1, Infinity] + 11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, -1, 1, 0, 1] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (45*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (3277*S[2, Infinity]^3)/560 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (37*S[3, Infinity]^2)/4 + (547*S[-1, Infinity]*S[5, Infinity])/32 + 
   26*S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, -1, 1, 1, 1] -> 
  -S[-1, Infinity]^6/40 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (197*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (1987*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (597*S[3, Infinity]^2)/128 - (221*S[-1, Infinity]*S[5, Infinity])/32 - 
   (31*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 7*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 30*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 0, 0, -1, -1, 1] -> -S[-1, Infinity]^6/360 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (17*S[2, Infinity]^3)/40 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[3, Infinity]^2)/4 + (35*S[-1, Infinity]*S[5, Infinity])/8 + 
   (5*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 0, -1, 0, 1] -> 
  (21*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (187*S[2, Infinity]^3)/336 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (3*S[3, Infinity]^2)/4 - (11*S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity], H[-1, 1, 0, 0, -1, 1, 1] -> 
  -S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (453*S[2, Infinity]^3)/560 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (25*S[3, Infinity]^2)/32 + (15*S[-1, Infinity]*S[5, Infinity])/32 - 
   (17*S[-5, -1, Infinity])/4 + 6*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 0, 0, 0, -1, 1] -> (-7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (335*S[2, Infinity]^3)/336 + (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (57*S[3, Infinity]^2)/32 + 
   (107*S[-1, Infinity]*S[5, Infinity])/16 + 4*S[-5, -1, Infinity], 
 H[-1, 1, 0, 0, 0, 0, 1] -> (111*S[2, Infinity]^3)/280 - 
   (9*S[3, Infinity]^2)/32 + (15*S[-1, Infinity]*S[5, Infinity])/16, 
 H[-1, 1, 0, 0, 0, 1, 1] -> -(S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (97*S[2, Infinity]^3)/210 + (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 - (53*S[3, Infinity]^2)/64 + 
   (17*S[-1, Infinity]*S[5, Infinity])/16 + (3*S[-5, -1, Infinity])/2, 
 H[-1, 1, 0, 0, 1, -1, 1] -> S[-1, Infinity]^6/60 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (19*S[2, Infinity]^3)/80 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + S[3, Infinity]^2/2 - 
   (311*S[-1, Infinity]*S[5, Infinity])/64 - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 0, 1, 0, 1] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (1501*S[2, Infinity]^3)/1680 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[3, Infinity]^2)/4 - (51*S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity], H[-1, 1, 0, 0, 1, 1, 1] -> 
  -S[-1, Infinity]^6/90 + (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (19*S[2, Infinity]^3)/80 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (111*S[3, Infinity]^2)/64 + (125*S[-1, Infinity]*S[5, Infinity])/64 + 
   (5*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 0, 1, -1, -1, 1] -> (23*S[-1, Infinity]^6)/240 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (139*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (55*S[2, Infinity]^3)/16 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (441*S[3, Infinity]^2)/64 - (275*S[-1, Infinity]*S[5, Infinity])/32 - 
   (35*S[-5, -1, Infinity])/2 - 
   (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 30*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 0, 1, -1, 0, 1] -> -S[-1, Infinity]^6/60 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (55*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (853*S[2, Infinity]^3)/140 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (41*S[3, Infinity]^2)/4 - (507*S[-1, Infinity]*S[5, Infinity])/32 - 
   26*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 1, -1, 1, 1] -> 
  -S[-1, Infinity]^6/16 + (41*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (447*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (681*S[2, Infinity]^3)/112 - 
   (39*S[3, Infinity]^2)/4 + (61*S[-1, Infinity]*S[5, Infinity])/8 + 
   26*S[-5, -1, Infinity] + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 1, 0, -1, 1] -> 
  (7*S[-1, Infinity]^6)/180 - (13*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (111*S[2, Infinity]^3)/56 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (33*S[3, Infinity]^2)/32 + (S[-1, Infinity]*S[5, Infinity])/16 + 
   4*S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 1, 0, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (205*S[2, Infinity]^3)/336 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + (41*S[3, Infinity]^2)/32 - 
   (41*S[-1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 1, 0, 1, 0, 1, 1] -> -S[-1, Infinity]^6/30 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (731*S[2, Infinity]^3)/560 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (119*S[3, Infinity]^2)/64 - (125*S[-1, Infinity]*S[5, Infinity])/16 - 
   (19*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 1, 1, -1, 1] -> 
  S[-1, Infinity]^6/120 - (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (107*S[2, Infinity]^3)/28 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (237*S[3, Infinity]^2)/64 + (23*S[-1, Infinity]*S[5, Infinity])/64 - 
   (43*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   27*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 0, 1, 1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + S[2, Infinity]^3/14 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[3, Infinity]^2)/4 + (177*S[-1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[-1, 1, 0, 1, 1, 1, 1] -> (13*S[-1, Infinity]^6)/360 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (11*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (11*S[3, Infinity]^2)/64 + 4*S[-1, Infinity]*S[5, Infinity] + 
   (5*S[-5, -1, Infinity])/2 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, -1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/80 + (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (13*S[2, Infinity]^3)/105 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (7*S[3, Infinity]^2)/32 + (17*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, -1, -1, 0, 1] -> 
  (11*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (69*S[2, Infinity]^3)/280 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (113*S[3, Infinity]^2)/128 + (277*S[-1, Infinity]*S[5, Infinity])/64 + 
   (5*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, -1, -1, 1, 1] -> -S[-1, Infinity]^6/720 + 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (17*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (15*S[3, Infinity]^2)/128 - (3*S[-1, Infinity]*S[5, Infinity])/64, 
 H[-1, 1, 1, -1, 0, -1, 1] -> -S[-1, Infinity]^6/15 + 
   (19*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (53*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (59*S[2, Infinity]^3)/80 + 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (179*S[3, Infinity]^2)/64 + (287*S[-1, Infinity]*S[5, Infinity])/64 + 
   6*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, -1, 0, 0, 1] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (51*S[2, Infinity]^3)/112 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (7*S[3, Infinity]^2)/4 + (47*S[-1, Infinity]*S[5, Infinity])/8 + 
   (17*S[-5, -1, Infinity])/4 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, -1, 0, 1, 1] -> 
  (-3*S[-1, Infinity]^6)/80 + (11*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (59*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (167*S[2, Infinity]^3)/280 + 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (19*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (55*S[3, Infinity]^2)/64 - (221*S[-1, Infinity]*S[5, Infinity])/32 - 
   (15*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, -1, 1, -1, 1] -> 
  (11*S[-1, Infinity]^6)/720 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (3*S[2, Infinity]^3)/80 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (153*S[3, Infinity]^2)/64 - (663*S[-1, Infinity]*S[5, Infinity])/64 - 
   6*S[-5, -1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, -1, 1, 0, 1] -> 
  (-7*S[-1, Infinity]^6)/240 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (157*S[2, Infinity]^3)/560 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (65*S[3, Infinity]^2)/32 - (247*S[-1, Infinity]*S[5, Infinity])/32 - 
   (17*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, -1, 1, 1, 1] -> 
  (19*S[-1, Infinity]^6)/720 - (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (27*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (131*S[3, Infinity]^2)/128 + 6*S[-1, Infinity]*S[5, Infinity] + 
   (15*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 0, -1, -1, 1] -> 
  (-3*S[-1, Infinity]^6)/80 + (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (103*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (25*S[3, Infinity]^2)/64 - (291*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, 0, -1, 0, 1] -> -S[-1, Infinity]^6/60 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (1487*S[2, Infinity]^3)/840 + 
   (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (29*S[3, Infinity]^2)/8 + (103*S[-1, Infinity]*S[5, Infinity])/32 + 
   7*S[-5, -1, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 0, -1, 1, 1] -> 
  S[-1, Infinity]^6/10 - (17*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (203*S[2, Infinity]^3)/80 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (313*S[3, Infinity]^2)/64 + (99*S[-1, Infinity]*S[5, Infinity])/32 - 
   (37*S[-5, -1, Infinity])/4 - 
   (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   15*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 0, 0, -1, 1] -> 
  -S[-1, Infinity]^6/36 + (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (143*S[2, Infinity]^3)/840 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (33*S[3, Infinity]^2)/64 - (S[-1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity]/4 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 0, 0, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (59*S[2, Infinity]^3)/280 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (65*S[3, Infinity]^2)/64 + (29*S[-1, Infinity]*S[5, Infinity])/32 + 
   (3*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, 0, 0, 1, 1] -> S[-1, Infinity]^6/40 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (4*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (37*S[2, Infinity]^3)/120 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (179*S[3, Infinity]^2)/128 + (125*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, 0, 1, -1, 1] -> -S[-1, Infinity]^6/30 + 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (59*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (2259*S[2, Infinity]^3)/560 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (293*S[3, Infinity]^2)/64 - (81*S[-1, Infinity]*S[5, Infinity])/64 + 
   (43*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   27*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 0, 1, 0, 1] -> 
  -S[-1, Infinity]^6/60 + (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (611*S[2, Infinity]^3)/420 + 
   (S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (61*S[3, Infinity]^2)/32 + (73*S[-1, Infinity]*S[5, Infinity])/64 + 
   (17*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 0, 1, 1, 1] -> 
  (-19*S[-1, Infinity]^6)/720 + (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (27*S[2, Infinity]^3)/35 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (243*S[3, Infinity]^2)/128 - 6*S[-1, Infinity]*S[5, Infinity] - 
   (15*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/180 + (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   S[2, Infinity]^3/120 + (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (153*S[3, Infinity]^2)/128 + (159*S[-1, Infinity]*S[5, Infinity])/32 + 
   3*S[-5, -1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 1, -1, 0, 1] -> 
  (3*S[-1, Infinity]^6)/80 - (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (137*S[2, Infinity]^3)/280 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (85*S[3, Infinity]^2)/128 + (39*S[-1, Infinity]*S[5, Infinity])/8 + 
   (5*S[-5, -1, Infinity])/2 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 1, -1, 1, 1] -> 
  (-13*S[-1, Infinity]^6)/360 + (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (18*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (11*S[3, Infinity]^2)/64 - 4*S[-1, Infinity]*S[5, Infinity] - 
   (5*S[-5, -1, Infinity])/2 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 1, 0, -1, 1] -> 
  -S[-1, Infinity]^6/360 + (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (927*S[2, Infinity]^3)/560 + 
   (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (107*S[3, Infinity]^2)/128 + (27*S[-1, Infinity]*S[5, Infinity])/32 - 
   (13*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   11*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 1, 0, 0, 1] -> 
  S[-1, Infinity]^6/90 - (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (87*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + (19*S[3, Infinity]^2)/32 - 
   (33*S[-1, Infinity]*S[5, Infinity])/32 - (7*S[-5, -1, Infinity])/4 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 1, 0, 1, 1] -> 
  -S[-1, Infinity]^6/240 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (23*S[2, Infinity]^3)/35 + 
   (S[-1, Infinity]^3*S[3, Infinity])/3 - S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] - (55*S[3, Infinity]^2)/32 + 
   4*S[-1, Infinity]*S[5, Infinity] + (9*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 1, 1, -1, 1] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (49*S[3, Infinity]^2)/128 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[-1, 1, 1, 1, 1, 0, 1] -> S[-1, Infinity]^6/240 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + S[2, Infinity]^3/5 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (5*S[3, Infinity]^2)/8 - S[-1, Infinity]*S[5, Infinity] - 
   S[-5, -1, Infinity]/2 - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[-1, 1, 1, 1, 1, 1, 1] -> 
  -S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, -1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/72 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (8*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, -1, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - S[2, Infinity]^3/5 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   S[3, Infinity]^2/128 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[0, -1, -1, -1, -1, 1, 1] -> S[-1, Infinity]^6/48 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (8*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + (17*S[3, Infinity]^2)/64 - 
   S[-5, -1, Infinity] - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, -1, -1, -1, 0, -1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (11*S[2, Infinity]^3)/15 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (61*S[3, Infinity]^2)/64 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[0, -1, -1, -1, 0, 0, 1] -> (41*S[2, Infinity]^3)/105 - 
   (73*S[3, Infinity]^2)/64, H[0, -1, -1, -1, 0, 1, 1] -> 
  (-5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (1129*S[2, Infinity]^3)/1680 + 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (121*S[3, Infinity]^2)/128 + (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2, H[0, -1, -1, -1, 1, -1, 1] -> -S[-1, Infinity]^6/48 + 
   (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (8*S[2, Infinity]^3)/7 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (17*S[3, Infinity]^2)/32 - (31*S[-1, Infinity]*S[5, Infinity])/32 + 
   2*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, -1, 1, 0, 1] -> 
  -S[-1, Infinity]^6/180 + (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - S[2, Infinity]^3/14 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (129*S[3, Infinity]^2)/128 + S[-5, -1, Infinity]/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, -1, 1, 1, 1] -> 
  S[-1, Infinity]^6/120 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (279*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (31*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (113*S[3, Infinity]^2)/64 + (3*S[-5, -1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, 0, -1, -1, 1] -> 
  (-4*S[2, Infinity]^3)/5 + (181*S[3, Infinity]^2)/128 - 
   (465*S[-1, Infinity]*S[5, Infinity])/64 - (15*S[-5, -1, Infinity])/4, 
 H[0, -1, -1, 0, -1, 0, 1] -> (-1277*S[2, Infinity]^3)/1680 + 
   (73*S[3, Infinity]^2)/32, H[0, -1, -1, 0, -1, 1, 1] -> 
  (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (22*S[2, Infinity]^3)/35 - 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (197*S[3, Infinity]^2)/128 - (7*S[-5, -1, Infinity])/4 - 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[0, -1, -1, 0, 0, -1, 1] -> (-113*S[2, Infinity]^3)/560 + 
   (23*S[3, Infinity]^2)/64 - (31*S[-1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity], H[0, -1, -1, 0, 0, 0, 1] -> 
  (-23*S[2, Infinity]^3)/60 + (3*S[3, Infinity]^2)/4, 
 H[0, -1, -1, 0, 0, 1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (199*S[2, Infinity]^3)/280 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (45*S[3, Infinity]^2)/32 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, -1, 0, 1, -1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (171*S[2, Infinity]^3)/280 - 
   (35*S[3, Infinity]^2)/128 - (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, -1, 0, 1, 0, 1] -> (-49*S[2, Infinity]^3)/240 + 
   (9*S[3, Infinity]^2)/16, H[0, -1, -1, 0, 1, 1, 1] -> 
  -S[2, Infinity]^3/560 + S[3, Infinity]^2/128, 
 H[0, -1, -1, 1, -1, -1, 1] -> (3*S[-1, Infinity]^6)/40 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (86*S[2, Infinity]^3)/35 + 
   (45*S[3, Infinity]^2)/32 + (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (15*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, 1, -1, 0, 1] -> 
  S[-1, Infinity]^6/60 - (3*S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (179*S[2, Infinity]^3)/560 - 
   (89*S[3, Infinity]^2)/32 + 2*S[-5, -1, Infinity] + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, 1, -1, 1, 1] -> 
  (-47*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (417*S[2, Infinity]^3)/560 + 
   (69*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (193*S[3, Infinity]^2)/128 + (9*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, 1, 0, -1, 1] -> 
  S[-1, Infinity]^6/30 - (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (6529*S[2, Infinity]^3)/1680 + 
   (547*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/64 - 
   (23*S[-5, -1, Infinity])/2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, 1, 0, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (97*S[2, Infinity]^3)/168 + 
   (3*S[3, Infinity]^2)/64 - (7*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, -1, -1, 1, 0, 1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (227*S[2, Infinity]^3)/420 + 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (187*S[3, Infinity]^2)/128 + (7*S[-5, -1, Infinity])/4 + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, -1, -1, 1, 1, -1, 1] -> 
  (-11*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (299*S[2, Infinity]^3)/560 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (127*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/64 - 
   (5*S[-5, -1, Infinity])/2 + S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, 1, 1, 0, 1] -> 
  -S[-1, Infinity]^6/90 + (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (57*S[2, Infinity]^3)/70 + 
   (89*S[3, Infinity]^2)/128 - (5*S[-5, -1, Infinity])/4 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, -1, 1, 1, 1, 1] -> 
  S[-1, Infinity]^6/90 + (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (33*S[2, Infinity]^3)/28 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (13*S[3, Infinity]^2)/8 + 2*S[-5, -1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 0, -1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/18 + (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (142*S[2, Infinity]^3)/105 + (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (23*S[3, Infinity]^2)/32 + (279*S[-1, Infinity]*S[5, Infinity])/64 + 
   (9*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 0, -1, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (17*S[2, Infinity]^3)/1680 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (79*S[3, Infinity]^2)/32 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 0, -1, -1, 1, 1] -> (13*S[-1, Infinity]^6)/180 - 
   (9*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (89*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (775*S[2, Infinity]^3)/336 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (69*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (499*S[3, Infinity]^2)/128 - (19*S[-5, -1, Infinity])/4 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (11*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 0, -1, 0, -1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (837*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (17*S[3, Infinity]^2)/16 + (31*S[-1, Infinity]*S[5, Infinity])/4 + 
   4*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 0, -1, 0, 0, 1] -> (23*S[2, Infinity]^3)/20 - 
   (45*S[3, Infinity]^2)/16, H[0, -1, 0, -1, 0, 1, 1] -> 
  (-5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (211*S[2, Infinity]^3)/80 + 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (63*S[3, Infinity]^2)/16 + 10*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 0, -1, 1, -1, 1] -> -S[-1, Infinity]^6/90 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (2237*S[2, Infinity]^3)/840 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (49*S[3, Infinity]^2)/16 - (31*S[-1, Infinity]*S[5, Infinity])/32 + 
   9*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 0, -1, 1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (203*S[2, Infinity]^3)/240 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (3*S[3, Infinity]^2)/4 + 4*S[-5, -1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, -1, 0, -1, 1, 1, 1] -> 
  -S[-1, Infinity]^6/180 + (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (205*S[2, Infinity]^3)/336 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (91*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (285*S[3, Infinity]^2)/128 - (7*S[-5, -1, Infinity])/2 - 
   5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 0, 0, -1, -1, 1] -> 
  (139*S[2, Infinity]^3)/420 - (19*S[3, Infinity]^2)/32 + 
   (93*S[-1, Infinity]*S[5, Infinity])/32 + (3*S[-5, -1, Infinity])/2, 
 H[0, -1, 0, 0, -1, 0, 1] -> (-21*S[2, Infinity]^3)/40 + 
   (9*S[3, Infinity]^2)/8, H[0, -1, 0, 0, -1, 1, 1] -> 
  (-157*S[2, Infinity]^3)/1680 - (27*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (33*S[3, Infinity]^2)/64 - 
   (7*S[-5, -1, Infinity])/2, H[0, -1, 0, 0, 0, -1, 1] -> 
  (901*S[2, Infinity]^3)/840 - (33*S[3, Infinity]^2)/16 + 
   (31*S[-1, Infinity]*S[5, Infinity])/4 + 4*S[-5, -1, Infinity], 
 H[0, -1, 0, 0, 0, 0, 1] -> (31*S[2, Infinity]^3)/28, 
 H[0, -1, 0, 0, 0, 1, 1] -> (239*S[2, Infinity]^3)/840 - 
   (3*S[3, Infinity]^2)/4, H[0, -1, 0, 0, 1, -1, 1] -> 
  (-173*S[2, Infinity]^3)/840 + (27*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (3*S[3, Infinity]^2)/4 - 
   (155*S[-1, Infinity]*S[5, Infinity])/32 + S[-5, -1, Infinity], 
 H[0, -1, 0, 0, 1, 0, 1] -> (-303*S[2, Infinity]^3)/280 + 
   (45*S[3, Infinity]^2)/16, H[0, -1, 0, 0, 1, 1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (289*S[2, Infinity]^3)/840 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (163*S[3, Infinity]^2)/64 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 0, 1, -1, -1, 1] -> S[-1, Infinity]^6/20 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (8*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (1439*S[2, Infinity]^3)/1680 + 
   (77*S[3, Infinity]^2)/128 + (403*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, -1, 0, 1, -1, 0, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]^2 + (2389*S[2, Infinity]^3)/1680 - 
   (3*S[3, Infinity]^2)/16 - 4*S[-5, -1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, -1, 0, 1, -1, 1, 1] -> 
  -S[-1, Infinity]^6/15 + (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (6*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (5*S[2, Infinity]^3)/6 + 
   (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (59*S[3, Infinity]^2)/64 + (19*S[-5, -1, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 0, 1, 0, -1, 1] -> 
  (3*S[2, Infinity]^3)/560, H[0, -1, 0, 1, 0, 0, 1] -> 
  (173*S[2, Infinity]^3)/280 - (9*S[3, Infinity]^2)/8, 
 H[0, -1, 0, 1, 0, 1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (801*S[2, Infinity]^3)/560 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (91*S[3, Infinity]^2)/32 + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 0, 1, 1, -1, 1] -> S[-1, Infinity]^6/60 - 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (2953*S[2, Infinity]^3)/
    1680 - (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (37*S[3, Infinity]^2)/16 - (31*S[-1, Infinity]*S[5, Infinity])/16 - 
   7*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 0, 1, 1, 0, 1] -> 
  (73*S[2, Infinity]^3)/336 - (23*S[3, Infinity]^2)/32, 
 H[0, -1, 0, 1, 1, 1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (383*S[2, Infinity]^3)/840 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (51*S[3, Infinity]^2)/128 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[0, -1, 1, -1, -1, -1, 1] -> (-41*S[-1, Infinity]^6)/720 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (86*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - (73*S[3, Infinity]^2)/64 - 
   (465*S[-1, Infinity]*S[5, Infinity])/64 + (11*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, -1, -1, 0, 1] -> 
  -S[-1, Infinity]^6/60 + (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (403*S[2, Infinity]^3)/560 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (191*S[3, Infinity]^2)/64 - 2*S[-5, -1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, -1, -1, 1, 1] -> 
  S[-1, Infinity]^6/20 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (4*S[2, Infinity]^3)/7 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (3*S[3, Infinity]^2)/4 - (29*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, -1, 0, -1, 1] -> 
  -S[-1, Infinity]^6/15 + (5*S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (1507*S[2, Infinity]^3)/210 - 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (269*S[3, Infinity]^2)/32 + (31*S[-1, Infinity]*S[5, Infinity])/4 + 
   21*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, -1, 0, 0, 1] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (53*S[2, Infinity]^3)/240 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (15*S[3, Infinity]^2)/32 + 5*S[-5, -1, Infinity], 
 H[0, -1, 1, -1, 0, 1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (49*S[2, Infinity]^3)/60 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (203*S[3, Infinity]^2)/128 - 5*S[-5, -1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, -1, 1, -1, 1, -1, 1] -> 
  S[-1, Infinity]^6/40 + (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (31*S[2, Infinity]^3)/140 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (33*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (21*S[3, Infinity]^2)/32 + (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, -1, 1, -1, 1, 0, 1] -> S[-1, Infinity]^6/45 - 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (529*S[2, Infinity]^3)/280 - 
   (45*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (65*S[3, Infinity]^2)/16 + 4*S[-5, -1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, -1, 1, 1, 1] -> 
  -S[-1, Infinity]^6/80 - (5*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (409*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (45*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (231*S[3, Infinity]^2)/64 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 9*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 0, -1, -1, 1] -> 
  -S[-1, Infinity]^6/15 + (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (477*S[2, Infinity]^3)/280 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (685*S[3, Infinity]^2)/128 - (1457*S[-1, Infinity]*S[5, Infinity])/64 - 
   14*S[-5, -1, Infinity] + 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 0, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (545*S[2, Infinity]^3)/336 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (9*S[3, Infinity]^2)/4 + 4*S[-5, -1, Infinity] - 
   6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, -1, 1, 0, -1, 1, 1] -> 
  (2*S[-1, Infinity]^6)/15 - (7*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (171*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (33*S[2, Infinity]^3)/10 + 
   (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (793*S[3, Infinity]^2)/128 - 13*S[-5, -1, Infinity] - 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 0, 0, -1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (423*S[2, Infinity]^3)/560 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (111*S[3, Infinity]^2)/32 - (155*S[-1, Infinity]*S[5, Infinity])/16 - 
   6*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 1, 0, 0, 0, 1] -> (-617*S[2, Infinity]^3)/840 - 
   (15*S[3, Infinity]^2)/16 + 4*S[-5, -1, Infinity], 
 H[0, -1, 1, 0, 0, 1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]^2 + (331*S[2, Infinity]^3)/560 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (133*S[3, Infinity]^2)/64 - 5*S[-5, -1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, -1, 1, 0, 1, -1, 1] -> 
  -S[-1, Infinity]^6/15 + (S[-1, Infinity]^4*S[2, Infinity])/2 - 
   (191*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (909*S[2, Infinity]^3)/140 - 
   (87*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (95*S[3, Infinity]^2)/8 + (1271*S[-1, Infinity]*S[5, Infinity])/64 + 
   26*S[-5, -1, Infinity] - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 0, 1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (5*S[2, Infinity]^3)/48 - 
   3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (65*S[3, Infinity]^2)/16 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, -1, 1, 0, 1, 1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (47*S[2, Infinity]^3)/280 + 
   (33*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (143*S[3, Infinity]^2)/64 + (7*S[-5, -1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[0, -1, 1, 1, -1, -1, 1] -> S[-1, Infinity]^6/144 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (75*S[2, Infinity]^3)/112 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (125*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/16 + 
   (11*S[-5, -1, Infinity])/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 1, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (11*S[2, Infinity]^3)/40 + 
   (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (169*S[3, Infinity]^2)/128 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2, H[0, -1, 1, 1, -1, 1, 1] -> -S[-1, Infinity]^6/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (89*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (97*S[2, Infinity]^3)/112 - 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (249*S[3, Infinity]^2)/128 - S[-5, -1, Infinity]/2 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 1, 0, -1, 1] -> 
  S[-1, Infinity]^6/30 - (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (63*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (5627*S[2, Infinity]^3)/
    1680 - (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (439*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/64 - 
   (21*S[-5, -1, Infinity])/2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 1, 0, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (53*S[2, Infinity]^3)/168 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (53*S[3, Infinity]^2)/32 - (5*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, -1, 1, 1, 0, 1, 1] -> 
  (11*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (53*S[2, Infinity]^3)/42 - 
   (69*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (287*S[3, Infinity]^2)/128 - S[-5, -1, Infinity]/4 - 
   (11*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[0, -1, 1, 1, 1, -1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (107*S[2, Infinity]^3)/140 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (267*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 1, 1, 0, 1] -> 
  -S[-1, Infinity]^6/180 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (5*S[2, Infinity]^3)/14 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (45*S[3, Infinity]^2)/32 + (3*S[-5, -1, Infinity])/4 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, -1, 1, 1, 1, 1, 1] -> 
  S[-1, Infinity]^6/240 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - S[3, Infinity]^2/4 - 
   S[-5, -1, Infinity]/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, -1, -1, -1, -1, 1] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (19*S[2, Infinity]^3)/35 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   S[3, Infinity]^2/8 - (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, -1, -1, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (13*S[2, Infinity]^3)/840 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (79*S[3, Infinity]^2)/64 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, -1, -1, -1, 1, 1] -> -S[-1, Infinity]^6/30 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (319*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (69*S[3, Infinity]^2)/32 + 3*S[-5, -1, Infinity] + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, -1, -1, 0, -1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (139*S[2, Infinity]^3)/840 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (31*S[3, Infinity]^2)/32 - (31*S[-1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, -1, -1, 0, 0, 1] -> (9*S[3, Infinity]^2)/32, 
 H[0, 0, -1, -1, 0, 1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (85*S[2, Infinity]^3)/168 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (27*S[3, Infinity]^2)/32 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, -1, -1, 1, -1, 1] -> (-7*S[-1, Infinity]^6)/360 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (41*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (59*S[3, Infinity]^2)/64 + (155*S[-1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity]/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, -1, -1, 1, 0, 1] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (11*S[2, Infinity]^3)/210 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (45*S[3, Infinity]^2)/64 + (3*S[-5, -1, Infinity])/2, 
 H[0, 0, -1, -1, 1, 1, 1] -> S[-1, Infinity]^6/120 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (13*S[2, Infinity]^3)/35 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   S[3, Infinity]^2/32 + (3*S[-5, -1, Infinity])/2 + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, -1, 0, -1, -1, 1] -> 
  (-13*S[2, Infinity]^3)/12 + (151*S[3, Infinity]^2)/64 - 
   (217*S[-1, Infinity]*S[5, Infinity])/32 - (7*S[-5, -1, Infinity])/2, 
 H[0, 0, -1, 0, -1, 0, 1] -> (-5*S[2, Infinity]^3)/8 + 
   (27*S[3, Infinity]^2)/16, H[0, 0, -1, 0, -1, 1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/6 - S[-1, Infinity]^2*S[2, Infinity]^2 - 
   (337*S[2, Infinity]^3)/420 - (15*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (117*S[3, Infinity]^2)/64 + 
   (3*S[-5, -1, Infinity])/2 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, -1, 0, 0, -1, 1] -> (-377*S[2, Infinity]^3)/280 + 
   (81*S[3, Infinity]^2)/32 - (93*S[-1, Infinity]*S[5, Infinity])/8 - 
   6*S[-5, -1, Infinity], H[0, 0, -1, 0, 0, 0, 1] -> 
  (-31*S[2, Infinity]^3)/14, H[0, 0, -1, 0, 0, 1, 1] -> 
  (4*S[2, Infinity]^3)/35 - (9*S[3, Infinity]^2)/32, 
 H[0, 0, -1, 0, 1, -1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (853*S[2, Infinity]^3)/1680 - 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (21*S[3, Infinity]^2)/32 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, -1, 0, 1, 0, 1] -> (13*S[2, Infinity]^3)/28 - 
   (27*S[3, Infinity]^2)/16, H[0, 0, -1, 0, 1, 1, 1] -> 
  (-403*S[2, Infinity]^3)/840 + (95*S[3, Infinity]^2)/64, 
 H[0, 0, -1, 1, -1, -1, 1] -> S[-1, Infinity]^6/20 - 
   (17*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (1091*S[2, Infinity]^3)/560 - 
   (17*S[3, Infinity]^2)/64 + (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (7*S[-5, -1, Infinity])/4 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, -1, 1, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (77*S[2, Infinity]^3)/240 + 
   (3*S[3, Infinity]^2)/4 - 5*S[-5, -1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 0, -1, 1, -1, 1, 1] -> 
  (-2*S[-1, Infinity]^6)/45 + (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (67*S[2, Infinity]^3)/560 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (3*S[3, Infinity]^2)/16 + (9*S[-5, -1, Infinity])/4 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, -1, 1, 0, -1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (2627*S[2, Infinity]^3)/1680 - 
   (75*S[3, Infinity]^2)/32 + (155*S[-1, Infinity]*S[5, Infinity])/16 + 
   4*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, -1, 1, 0, 0, 1] -> (111*S[2, Infinity]^3)/140 + 
   (63*S[3, Infinity]^2)/32 - 6*S[-5, -1, Infinity], 
 H[0, 0, -1, 1, 0, 1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (163*S[2, Infinity]^3)/120 - 
   (47*S[3, Infinity]^2)/32 + 5*S[-5, -1, Infinity] - 
   6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 0, -1, 1, 1, -1, 1] -> 
  S[-1, Infinity]^6/120 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (311*S[2, Infinity]^3)/560 + 
   (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (77*S[3, Infinity]^2)/32 - (31*S[-1, Infinity]*S[5, Infinity])/4 - 
   (17*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, -1, 1, 1, 0, 1] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (10*S[2, Infinity]^3)/21 + 
   (47*S[3, Infinity]^2)/64 + (5*S[-5, -1, Infinity])/2, 
 H[0, 0, -1, 1, 1, 1, 1] -> S[-1, Infinity]^6/360 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (107*S[2, Infinity]^3)/140 - 
   S[3, Infinity]^2/2 - 2*S[-5, -1, Infinity] + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, 0, -1, -1, -1, 1] -> 
  (59*S[2, Infinity]^3)/140 - (7*S[3, Infinity]^2)/8 + 
   (93*S[-1, Infinity]*S[5, Infinity])/32 + (3*S[-5, -1, Infinity])/2, 
 H[0, 0, 0, -1, -1, 0, 1] -> (5*S[2, Infinity]^3)/24 - 
   (3*S[3, Infinity]^2)/4, H[0, 0, 0, -1, -1, 1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (127*S[2, Infinity]^3)/280 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (9*S[3, Infinity]^2)/8 - S[-5, -1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 0, 0, -1, 0, -1, 1] -> 
  (929*S[2, Infinity]^3)/840 - (9*S[3, Infinity]^2)/4 + 
   (31*S[-1, Infinity]*S[5, Infinity])/4 + 4*S[-5, -1, Infinity], 
 H[0, 0, 0, -1, 0, 0, 1] -> (31*S[2, Infinity]^3)/14, 
 H[0, 0, 0, -1, 0, 1, 1] -> (-97*S[2, Infinity]^3)/420 + 
   (3*S[3, Infinity]^2)/4, H[0, 0, 0, -1, 1, -1, 1] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (257*S[2, Infinity]^3)/560 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (3*S[3, Infinity]^2)/4 - (155*S[-1, Infinity]*S[5, Infinity])/32, 
 H[0, 0, 0, -1, 1, 0, 1] -> (-41*S[2, Infinity]^3)/60 - 
   (3*S[3, Infinity]^2)/4 + 4*S[-5, -1, Infinity], 
 H[0, 0, 0, -1, 1, 1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (27*S[2, Infinity]^3)/35 - 
   S[3, Infinity]^2/4 - (5*S[-5, -1, Infinity])/2 + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 0, 0, 0, -1, -1, 1] -> 
  (-23*S[2, Infinity]^3)/70 + (3*S[3, Infinity]^2)/4 - 
   (31*S[-1, Infinity]*S[5, Infinity])/16 - S[-5, -1, Infinity], 
 H[0, 0, 0, 0, -1, 0, 1] -> (-31*S[2, Infinity]^3)/28, 
 H[0, 0, 0, 0, -1, 1, 1] -> (8*S[2, Infinity]^3)/35 - S[-5, -1, Infinity], 
 H[0, 0, 0, 0, 0, -1, 1] -> (31*S[2, Infinity]^3)/140, 
 H[0, 0, 0, 0, 0, 0, 1] -> 0, H[0, 0, 0, 0, 0, 1, 1] -> 
  (8*S[2, Infinity]^3)/35, H[0, 0, 0, 0, 1, -1, 1] -> 
  (-111*S[2, Infinity]^3)/280 + (9*S[3, Infinity]^2)/32 - 
   (31*S[-1, Infinity]*S[5, Infinity])/16, H[0, 0, 0, 0, 1, 0, 1] -> 
  (-8*S[2, Infinity]^3)/7, H[0, 0, 0, 0, 1, 1, 1] -> 
  (6*S[2, Infinity]^3)/35 - S[3, Infinity]^2/2, 
 H[0, 0, 0, 1, -1, -1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (123*S[2, Infinity]^3)/140 - 
   (15*S[3, Infinity]^2)/16 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, 0, 1, -1, 0, 1] -> (449*S[2, Infinity]^3)/840 + 
   (15*S[3, Infinity]^2)/16 - 4*S[-5, -1, Infinity], 
 H[0, 0, 0, 1, -1, 1, 1] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (3*S[2, Infinity]^3)/70 + (9*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (11*S[3, Infinity]^2)/64 + 
   (5*S[-5, -1, Infinity])/2, H[0, 0, 0, 1, 0, -1, 1] -> 
  (883*S[2, Infinity]^3)/840 - (33*S[3, Infinity]^2)/16 + 
   (31*S[-1, Infinity]*S[5, Infinity])/4 + 4*S[-5, -1, Infinity], 
 H[0, 0, 0, 1, 0, 0, 1] -> (16*S[2, Infinity]^3)/7, 
 H[0, 0, 0, 1, 0, 1, 1] -> (-32*S[2, Infinity]^3)/105 + S[3, Infinity]^2, 
 H[0, 0, 0, 1, 1, -1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (3*S[2, Infinity]^3)/280 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (65*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/32 - 
   (3*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, 0, 1, 1, 0, 1] -> (-8*S[2, Infinity]^3)/21 + S[3, Infinity]^2, 
 H[0, 0, 0, 1, 1, 1, 1] -> (23*S[2, Infinity]^3)/70 - S[3, Infinity]^2, 
 H[0, 0, 1, -1, -1, -1, 1] -> -S[-1, Infinity]^6/40 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (79*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (279*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + (101*S[3, Infinity]^2)/128 - 
   (31*S[-1, Infinity]*S[5, Infinity])/4 - (3*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 0, 1, -1, -1, 0, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (571*S[2, Infinity]^3)/1680 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (5*S[3, Infinity]^2)/64 + (7*S[-5, -1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 0, 1, -1, -1, 1, 1] -> 
  (11*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (67*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (51*S[2, Infinity]^3)/80 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (109*S[3, Infinity]^2)/128 - (11*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, 1, -1, 0, -1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (353*S[2, Infinity]^3)/210 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (49*S[3, Infinity]^2)/32 - (155*S[-1, Infinity]*S[5, Infinity])/16 - 
   4*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, 1, -1, 0, 0, 1] -> (-111*S[2, Infinity]^3)/140 - 
   (39*S[3, Infinity]^2)/32 + 6*S[-5, -1, Infinity], 
 H[0, 0, 1, -1, 0, 1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]^2 + (839*S[2, Infinity]^3)/840 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (13*S[3, Infinity]^2)/64 - 5*S[-5, -1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 0, 1, -1, 1, -1, 1] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (111*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (19*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (15*S[3, Infinity]^2)/16 + (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 0, 1, -1, 1, 0, 1] -> (9*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (55*S[2, Infinity]^3)/168 - (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - S[3, Infinity]^2/2 - 5*S[-5, -1, Infinity], 
 H[0, 0, 1, -1, 1, 1, 1] -> -S[-1, Infinity]^6/180 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (67*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (199*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (111*S[3, Infinity]^2)/64 + (9*S[-5, -1, Infinity])/4 - 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, 1, 0, -1, -1, 1] -> 
  (-1033*S[2, Infinity]^3)/1680 + (77*S[3, Infinity]^2)/64 - 
   (155*S[-1, Infinity]*S[5, Infinity])/32 - (5*S[-5, -1, Infinity])/2, 
 H[0, 0, 1, 0, -1, 0, 1] -> -S[2, Infinity]^3/56 - (3*S[3, Infinity]^2)/8, 
 H[0, 0, 1, 0, -1, 1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]^2 - (503*S[2, Infinity]^3)/420 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[3, Infinity]^2)/32 + (5*S[-5, -1, Infinity])/2 - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, 1, 0, 0, -1, 1] -> (-439*S[2, Infinity]^3)/280 + 
   (105*S[3, Infinity]^2)/32 - (93*S[-1, Infinity]*S[5, Infinity])/8 - 
   6*S[-5, -1, Infinity], H[0, 0, 1, 0, 0, 0, 1] -> (-16*S[2, Infinity]^3)/7, 
 H[0, 0, 1, 0, 0, 1, 1] -> (-4*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2, 
 H[0, 0, 1, 0, 1, -1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (17*S[2, Infinity]^3)/1680 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (73*S[3, Infinity]^2)/32 + (217*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, 1, 0, 1, 0, 1] -> (8*S[2, Infinity]^3)/7 - 4*S[3, Infinity]^2, 
 H[0, 0, 1, 0, 1, 1, 1] -> (-29*S[2, Infinity]^3)/30 + 3*S[3, Infinity]^2, 
 H[0, 0, 1, 1, -1, -1, 1] -> (-17*S[-1, Infinity]^6)/360 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (31*S[2, Infinity]^3)/28 - 
   (251*S[3, Infinity]^2)/128 + (155*S[-1, Infinity]*S[5, Infinity])/64 + 
   (11*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[0, 0, 1, 1, -1, 0, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (307*S[2, Infinity]^3)/840 - 
   S[3, Infinity]^2/32 + (5*S[-5, -1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 0, 1, 1, -1, 1, 1] -> 
  S[-1, Infinity]^6/24 - (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (33*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (43*S[2, Infinity]^3)/56 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (61*S[3, Infinity]^2)/128 - (5*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 0, 1, 1, 0, -1, 1] -> (577*S[2, Infinity]^3)/1680 - 
   (47*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/16 + 
   S[-5, -1, Infinity], H[0, 0, 1, 1, 0, 0, 1] -> S[3, Infinity]^2/2, 
 H[0, 0, 1, 1, 0, 1, 1] -> (53*S[2, Infinity]^3)/105 - 
   (3*S[3, Infinity]^2)/2, H[0, 0, 1, 1, 1, -1, 1] -> 
  -S[-1, Infinity]^6/90 + (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (47*S[2, Infinity]^3)/70 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (9*S[3, Infinity]^2)/32 - (31*S[-1, Infinity]*S[5, Infinity])/32 + 
   (7*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 0, 1, 1, 1, 0, 1] -> 
  (-11*S[2, Infinity]^3)/21 + (3*S[3, Infinity]^2)/2, 
 H[0, 0, 1, 1, 1, 1, 1] -> (6*S[2, Infinity]^3)/35 - S[3, Infinity]^2/2, 
 H[0, 1, -1, -1, -1, -1, 1] -> (7*S[-1, Infinity]^6)/720 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (61*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (26*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - (17*S[3, Infinity]^2)/128 + 
   (155*S[-1, Infinity]*S[5, Infinity])/32 + S[-5, -1, Infinity]/2 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, -1, -1, 0, 1] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (429*S[2, Infinity]^3)/560 - 
   (45*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (145*S[3, Infinity]^2)/128 - S[-5, -1, Infinity]/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, -1, -1, 1, 1] -> 
  -S[-1, Infinity]^6/60 - (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (23*S[2, Infinity]^3)/112 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (9*S[3, Infinity]^2)/64 + 3*S[-5, -1, Infinity] + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, -1, 0, -1, 1] -> 
  S[-1, Infinity]^6/30 - (17*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (113*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (8383*S[2, Infinity]^3)/1680 + (45*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (305*S[3, Infinity]^2)/64 - 
   (155*S[-1, Infinity]*S[5, Infinity])/64 - 8*S[-5, -1, Infinity] + 
   (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, -1, 0, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (337*S[2, Infinity]^3)/420 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (3*S[3, Infinity]^2)/64 - (3*S[-5, -1, Infinity])/2 + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 1, -1, -1, 0, 1, 1] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (149*S[2, Infinity]^3)/420 + 
   (57*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (11*S[3, Infinity]^2)/128 + (13*S[-5, -1, Infinity])/4, 
 H[0, 1, -1, -1, 1, -1, 1] -> S[-1, Infinity]^6/40 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (117*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (135*S[2, Infinity]^3)/112 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (21*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/16 - 
   (7*S[-5, -1, Infinity])/4 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 1, -1, -1, 1, 0, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (7*S[2, Infinity]^3)/8 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + S[3, Infinity]^2/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 1, -1, -1, 1, 1, 1] -> 
  -S[-1, Infinity]^6/80 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (93*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (71*S[2, Infinity]^3)/56 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (105*S[3, Infinity]^2)/128 - (21*S[-5, -1, Infinity])/4 + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 0, -1, -1, 1] -> 
  S[-1, Infinity]^6/15 - (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (377*S[2, Infinity]^3)/112 - 
   (33*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (97*S[3, Infinity]^2)/16 + (1271*S[-1, Infinity]*S[5, Infinity])/64 + 
   (25*S[-5, -1, Infinity])/2 - 4*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 0, -1, 0, 1] -> 
  (-11*S[2, Infinity]^3)/30 - 3*S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (3*S[3, Infinity]^2)/4 - 4*S[-5, -1, Infinity], 
 H[0, 1, -1, 0, -1, 1, 1] -> (-2*S[-1, Infinity]^6)/15 + 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (111*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (251*S[2, Infinity]^3)/140 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (61*S[3, Infinity]^2)/16 + (23*S[-5, -1, Infinity])/2 + 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 0, 0, -1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (181*S[2, Infinity]^3)/280 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 3*S[3, Infinity]^2 + 
   (155*S[-1, Infinity]*S[5, Infinity])/16 + 6*S[-5, -1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, -1, 0, 0, 0, 1] -> S[2, Infinity]^3/3 + (3*S[3, Infinity]^2)/4 - 
   4*S[-5, -1, Infinity], H[0, 1, -1, 0, 0, 1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/6 - S[-1, Infinity]^2*S[2, Infinity]^2 - 
   (159*S[2, Infinity]^3)/280 + (9*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - 2*S[3, Infinity]^2 + 5*S[-5, -1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 1, -1, 0, 1, -1, 1] -> 
  S[-1, Infinity]^6/15 - (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (131*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (323*S[2, Infinity]^3)/70 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (41*S[3, Infinity]^2)/4 - (1457*S[-1, Infinity]*S[5, Infinity])/64 - 
   26*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 0, 1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/6 - S[-1, Infinity]^2*S[2, Infinity]^2 - 
   (439*S[2, Infinity]^3)/210 - (9*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 + (5*S[3, Infinity]^2)/2 - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, -1, 0, 1, 1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]^2 + (69*S[2, Infinity]^3)/56 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   S[3, Infinity]^2/16 - (7*S[-5, -1, Infinity])/2 + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 1, -1, 1, -1, -1, 1] -> 
  (-11*S[-1, Infinity]^6)/144 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (187*S[2, Infinity]^3)/560 + 
   (69*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   S[3, Infinity]^2/64 - (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   (15*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 1, -1, 0, 1] -> 
  -S[-1, Infinity]^6/45 + (19*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (31*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (1009*S[2, Infinity]^3)/560 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (39*S[3, Infinity]^2)/16 - 4*S[-5, -1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 1, -1, 1, 1] -> 
  S[-1, Infinity]^6/15 - (3*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (79*S[2, Infinity]^3)/560 - (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 - (3*S[3, Infinity]^2)/64 - 
   (3*S[-5, -1, Infinity])/4 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 1, 0, -1, 1] -> 
  -S[-1, Infinity]^6/15 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (81*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (8287*S[2, Infinity]^3)/
    1680 + (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (25*S[3, Infinity]^2)/4 + (31*S[-1, Infinity]*S[5, Infinity])/4 + 
   21*S[-5, -1, Infinity] + (11*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 1, 0, 0, 1] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (31*S[2, Infinity]^3)/210 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - S[3, Infinity]^2/2 + 
   5*S[-5, -1, Infinity], H[0, 1, -1, 1, 0, 1, 1] -> 
  (-7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (163*S[2, Infinity]^3)/105 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 2*S[3, Infinity]^2 - 
   5*S[-5, -1, Infinity] + 7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, -1, 1, 1, -1, 1] -> S[-1, Infinity]^6/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (91*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (83*S[2, Infinity]^3)/140 - 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (93*S[3, Infinity]^2)/32 + (465*S[-1, Infinity]*S[5, Infinity])/64 + 
   (17*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 1, 1, 0, 1] -> 
  S[-1, Infinity]^6/60 - (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (43*S[2, Infinity]^3)/70 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (125*S[3, Infinity]^2)/32 + (13*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, -1, 1, 1, 1, 1] -> 
  -S[-1, Infinity]^6/80 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (2*S[2, Infinity]^3)/35 + 
   (31*S[3, Infinity]^2)/32 - S[-5, -1, Infinity]/4 - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 0, -1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/18 + (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (1907*S[2, Infinity]^3)/1680 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (109*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 0, -1, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (67*S[2, Infinity]^3)/120 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (13*S[3, Infinity]^2)/16 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 0, -1, -1, 1, 1] -> (13*S[-1, Infinity]^6)/180 - 
   (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (83*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (109*S[2, Infinity]^3)/105 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (217*S[3, Infinity]^2)/128 - (15*S[-5, -1, Infinity])/4 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 0, -1, 0, -1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/3 + 2*S[-1, Infinity]^2*
    S[2, Infinity]^2 + (341*S[2, Infinity]^3)/140 + 
   7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (35*S[3, Infinity]^2)/16 + 8*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 0, -1, 0, 0, 1] -> (41*S[2, Infinity]^3)/70 + 
   (3*S[3, Infinity]^2)/16, H[0, 1, 0, -1, 0, 1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/6 + S[-1, Infinity]^2*
    S[2, Infinity]^2 + (43*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (35*S[3, Infinity]^2)/32 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 0, -1, 1, -1, 1] -> -S[-1, Infinity]^6/90 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (103*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (239*S[2, Infinity]^3)/105 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (25*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (73*S[3, Infinity]^2)/16 + (403*S[-1, Infinity]*S[5, Infinity])/64 + 
   9*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 0, -1, 1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/6 + S[-1, Infinity]^2*
    S[2, Infinity]^2 + (479*S[2, Infinity]^3)/420 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - S[3, Infinity]^2/2 + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 0, -1, 1, 1, 1] -> -S[-1, Infinity]^6/180 + 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (629*S[2, Infinity]^3)/840 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (3*S[3, Infinity]^2)/2 + (3*S[-5, -1, Infinity])/4 - 
   6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 0, 0, -1, -1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (34*S[2, Infinity]^3)/105 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (121*S[3, Infinity]^2)/64 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 0, 0, -1, 0, 1] -> (-159*S[2, Infinity]^3)/280 + 
   (3*S[3, Infinity]^2)/16, H[0, 1, 0, 0, -1, 1, 1] -> 
  (11*S[2, Infinity]^3)/840 - (15*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (5*S[3, Infinity]^2)/64 - (5*S[-5, -1, Infinity])/2, 
 H[0, 1, 0, 0, 0, -1, 1] -> (1037*S[2, Infinity]^3)/840 - 
   (9*S[3, Infinity]^2)/4 + (31*S[-1, Infinity]*S[5, Infinity])/4 + 
   4*S[-5, -1, Infinity], H[0, 1, 0, 0, 0, 0, 1] -> (8*S[2, Infinity]^3)/7, 
 H[0, 1, 0, 0, 0, 1, 1] -> (10*S[2, Infinity]^3)/21 - S[3, Infinity]^2, 
 H[0, 1, 0, 0, 1, -1, 1] -> (-61*S[2, Infinity]^3)/336 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   S[3, Infinity]^2/4 - (93*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity], H[0, 1, 0, 0, 1, 0, 1] -> 
  (-6*S[2, Infinity]^3)/5 + 2*S[3, Infinity]^2, 
 H[0, 1, 0, 0, 1, 1, 1] -> (53*S[2, Infinity]^3)/105 - 
   (3*S[3, Infinity]^2)/2, H[0, 1, 0, 1, -1, -1, 1] -> 
  S[-1, Infinity]^6/20 - (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (163*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (109*S[2, Infinity]^3)/168 + 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (145*S[3, Infinity]^2)/64 - (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[0, 1, 0, 1, -1, 0, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (139*S[2, Infinity]^3)/240 + 
   (13*S[3, Infinity]^2)/16 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 0, 1, -1, 1, 1] -> -S[-1, Infinity]^6/15 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (63*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (1573*S[2, Infinity]^3)/
    1680 + (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (125*S[3, Infinity]^2)/64 + (23*S[-5, -1, Infinity])/4 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 0, 1, 0, -1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (77*S[2, Infinity]^3)/80 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (13*S[3, Infinity]^2)/4 - (31*S[-1, Infinity]*S[5, Infinity])/4 - 
   4*S[-5, -1, Infinity] + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 0, 1, 0, 0, 1] -> (2*S[2, Infinity]^3)/35 + 2*S[3, Infinity]^2, 
 H[0, 1, 0, 1, 0, 1, 1] -> (3*S[2, Infinity]^3)/70, 
 H[0, 1, 0, 1, 1, -1, 1] -> S[-1, Infinity]^6/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (33*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (569*S[2, Infinity]^3)/420 - 
   (69*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (5*S[3, Infinity]^2)/32 + (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (17*S[-5, -1, Infinity])/4 - (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 0, 1, 1, 0, 1] -> 
  (37*S[2, Infinity]^3)/42 - 3*S[3, Infinity]^2, 
 H[0, 1, 0, 1, 1, 1, 1] -> (-32*S[2, Infinity]^3)/105 + S[3, Infinity]^2, 
 H[0, 1, 1, -1, -1, -1, 1] -> (7*S[-1, Infinity]^6)/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (243*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (153*S[3, Infinity]^2)/128 + (31*S[-1, Infinity]*S[5, Infinity])/64 - 
   (9*S[-5, -1, Infinity])/2 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, -1, -1, 0, 1] -> 
  S[-1, Infinity]^6/90 - (5*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (39*S[2, Infinity]^3)/280 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (73*S[3, Infinity]^2)/128 + (5*S[-5, -1, Infinity])/4 + 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, -1, -1, 1, 1] -> 
  (-37*S[-1, Infinity]^6)/720 + (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (13*S[2, Infinity]^3)/10 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (59*S[3, Infinity]^2)/32 + (11*S[-5, -1, Infinity])/2 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, -1, 0, -1, 1] -> 
  S[-1, Infinity]^6/30 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (3173*S[2, Infinity]^3)/
    1680 - (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (117*S[3, Infinity]^2)/64 - (155*S[-1, Infinity]*S[5, Infinity])/64 - 
   9*S[-5, -1, Infinity] - (11*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, -1, 0, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (71*S[2, Infinity]^3)/105 + 
   S[3, Infinity]^2/64 - (5*S[-5, -1, Infinity])/2 + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 1, -1, 0, 1, 1] -> (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (25*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (1243*S[2, Infinity]^3)/840 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (327*S[3, Infinity]^2)/128 + (21*S[-5, -1, Infinity])/4 - 
   7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[0, 1, 1, -1, 1, -1, 1] -> 
  (-19*S[-1, Infinity]^6)/720 - (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (3*S[2, Infinity]^3)/40 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (31*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (113*S[3, Infinity]^2)/64 - (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, -1, 1, 0, 1] -> 
  -S[-1, Infinity]^6/60 + (3*S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (53*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (93*S[3, Infinity]^2)/32 - (13*S[-5, -1, Infinity])/4 - 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, -1, 1, 1, 1] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (49*S[3, Infinity]^2)/128 + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, 0, -1, -1, 1] -> 
  (-103*S[2, Infinity]^3)/560 + (51*S[3, Infinity]^2)/128 - 
   (93*S[-1, Infinity]*S[5, Infinity])/64 - (3*S[-5, -1, Infinity])/4, 
 H[0, 1, 1, 0, -1, 0, 1] -> (-71*S[2, Infinity]^3)/1680 - 
   (25*S[3, Infinity]^2)/32, H[0, 1, 1, 0, -1, 1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/6 + S[-1, Infinity]^2*
    S[2, Infinity]^2 + (387*S[2, Infinity]^3)/560 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (327*S[3, Infinity]^2)/128 - (11*S[-5, -1, Infinity])/4 + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 1, 0, 0, -1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (45*S[2, Infinity]^3)/56 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   S[3, Infinity]^2/2 + (31*S[-1, Infinity]*S[5, Infinity])/16 + 
   S[-5, -1, Infinity] - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[0, 1, 1, 0, 0, 0, 1] -> (-2*S[2, Infinity]^3)/105 - S[3, Infinity]^2, 
 H[0, 1, 1, 0, 0, 1, 1] -> (-13*S[2, Infinity]^3)/70 + S[3, Infinity]^2, 
 H[0, 1, 1, 0, 1, -1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (83*S[2, Infinity]^3)/280 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (3*S[3, Infinity]^2)/4 - (465*S[-1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity] + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[0, 1, 1, 0, 1, 0, 1] -> (-143*S[2, Infinity]^3)/210 + S[3, Infinity]^2, 
 H[0, 1, 1, 0, 1, 1, 1] -> (-4*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2, 
 H[0, 1, 1, 1, -1, -1, 1] -> -S[-1, Infinity]^6/360 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (103*S[2, Infinity]^3)/140 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (7*S[3, Infinity]^2)/32 + (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   (7*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, 1, -1, 0, 1] -> 
  S[-1, Infinity]^6/180 - (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - S[2, Infinity]^3/140 + 
   (7*S[3, Infinity]^2)/32 - (3*S[-5, -1, Infinity])/4 + 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, 1, -1, 1, 1] -> 
  S[-1, Infinity]^6/80 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (12*S[2, Infinity]^3)/35 - 
   (31*S[3, Infinity]^2)/32 + S[-5, -1, Infinity]/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, 1, 0, -1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (7*S[2, Infinity]^3)/24 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (27*S[3, Infinity]^2)/16 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[0, 1, 1, 1, 0, 0, 1] -> (89*S[2, Infinity]^3)/210 - S[3, Infinity]^2/2, 
 H[0, 1, 1, 1, 0, 1, 1] -> (10*S[2, Infinity]^3)/21 - S[3, Infinity]^2, 
 H[0, 1, 1, 1, 1, -1, 1] -> -S[-1, Infinity]^6/240 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (2*S[2, Infinity]^3)/5 + 
   S[3, Infinity]^2/4 + S[-5, -1, Infinity]/2 + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[0, 1, 1, 1, 1, 0, 1] -> 
  (-2*S[2, Infinity]^3)/5 + S[3, Infinity]^2/2, 
 H[0, 1, 1, 1, 1, 1, 1] -> (8*S[2, Infinity]^3)/35, 
 H[1, -1, -1, -1, -1, -1, 1] -> S[-1, Infinity]^6/120 - 
   (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (8*S[2, Infinity]^3)/35 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - S[-1, Infinity]*S[5, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, -1, -1, 0, 1] -> 
  -(S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (6*S[2, Infinity]^3)/35 - (S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - S[3, Infinity]^2/4 + 
   S[1, Infinity]*S[5, Infinity] + S[-5, -1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, -1, -1, 1, 1] -> -S[-1, Infinity]^6/36 + 
   (S[-1, Infinity]^5*S[1, Infinity])/24 + (S[-1, Infinity]^4*S[2, Infinity])/
    6 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - S[2, Infinity]^3/5 + 
   (11*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   S[3, Infinity]^2/128 + S[1, Infinity]*S[5, Infinity] + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, -1, 0, -1, 1] -> -(S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (36*S[2, Infinity]^3)/35 + (2*S[-1, Infinity]^3*S[3, Infinity])/3 - 
   S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity] - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + S[3, Infinity]^2/2 - 
   (31*S[-1, Infinity]*S[5, Infinity])/32 - 4*S[1, Infinity]*S[5, Infinity] - 
   2*S[-5, -1, Infinity] - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, -1, 0, 0, 1] -> 
  -S[-1, Infinity]^6/120 + (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (107*S[2, Infinity]^3)/140 + (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (9*S[3, Infinity]^2)/4 - (33*S[1, Infinity]*S[5, Infinity])/32 - 
   3*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, -1, 0, 1, 1] -> 
  (-11*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (53*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (509*S[2, Infinity]^3)/560 + (S[-1, Infinity]^3*S[3, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (191*S[3, Infinity]^2)/128 + (S[1, Infinity]*S[5, Infinity])/8 + 
   S[-5, -1, Infinity] + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, -1, 1, -1, 1] -> 
  (17*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^5*S[1, Infinity])/12 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (151*S[2, Infinity]^3)/105 - (5*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (59*S[3, Infinity]^2)/64 + 3*S[-1, Infinity]*S[5, Infinity] - 
   4*S[1, Infinity]*S[5, Infinity] - (5*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, -1, 1, 0, 1] -> 
  (7*S[-1, Infinity]^6)/120 - (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (177*S[2, Infinity]^3)/280 - (13*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   S[3, Infinity]^2/64 - (39*S[1, Infinity]*S[5, Infinity])/8 - 
   3*S[-5, -1, Infinity] - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, -1, 1, 1, 1] -> 
  S[-1, Infinity]^6/90 - (S[-1, Infinity]^5*S[1, Infinity])/60 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (27*S[2, Infinity]^3)/56 - (11*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (23*S[3, Infinity]^2)/128 + (63*S[1, Infinity]*S[5, Infinity])/32 + 
   3*S[-5, -1, Infinity] + S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 0, -1, -1, 1] -> 
  (-3*S[-1, Infinity]^6)/40 + (3*S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (129*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   S[2, Infinity]^3/5 - (S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (89*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   6*S[1, Infinity]*S[5, Infinity] + (15*S[-5, -1, Infinity])/4 + 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 0, -1, 0, 1] -> S[-1, Infinity]^6/90 - 
   (S[-1, Infinity]^5*S[1, Infinity])/30 + (S[-1, Infinity]^4*S[2, Infinity])/
    48 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (183*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (1549*S[2, Infinity]^3)/840 - (2*S[-1, Infinity]^3*S[3, Infinity])/3 + 
   S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity] - 
   (53*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (23*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (523*S[3, Infinity]^2)/128 + (73*S[1, Infinity]*S[5, Infinity])/64 + 
   (19*S[-5, -1, Infinity])/4 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 0, -1, 1, 1] -> 
  S[-1, Infinity]^6/80 + (S[-1, Infinity]^5*S[1, Infinity])/24 - 
   (17*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/2 + 
   (41*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (1427*S[2, Infinity]^3)/560 - (13*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (37*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (707*S[3, Infinity]^2)/128 + (87*S[1, Infinity]*S[5, Infinity])/32 - 
   (17*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 0, 0, -1, 1] -> 
  (-17*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (163*S[2, Infinity]^3)/168 + (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (199*S[3, Infinity]^2)/128 + (155*S[-1, Infinity]*S[5, Infinity])/64 + 
   (125*S[1, Infinity]*S[5, Infinity])/64 + 4*S[-5, -1, Infinity] + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 0, 0, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (39*S[2, Infinity]^3)/140 - (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 + (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (9*S[3, Infinity]^2)/8 - (29*S[1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 0, 0, 1, 1] -> S[-1, Infinity]^6/30 - 
   (S[-1, Infinity]^5*S[1, Infinity])/20 - (S[-1, Infinity]^4*S[2, Infinity])/
    4 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (101*S[2, Infinity]^3)/84 - (S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (187*S[3, Infinity]^2)/64 - (39*S[1, Infinity]*S[5, Infinity])/16 - 
   4*S[-5, -1, Infinity] - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 0, 1, -1, 1] -> 
  (19*S[-1, Infinity]^6)/240 - (17*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (147*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (151*S[2, Infinity]^3)/80 - (13*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (475*S[3, Infinity]^2)/128 + (341*S[-1, Infinity]*S[5, Infinity])/64 - 
   (99*S[1, Infinity]*S[5, Infinity])/32 + 10*S[-5, -1, Infinity] - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 0, 1, 0, 1] -> 
  S[-1, Infinity]^6/90 - (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (51*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (1429*S[2, Infinity]^3)/1680 - (S[-1, Infinity]^3*S[3, Infinity])/2 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (249*S[3, Infinity]^2)/128 + (103*S[1, Infinity]*S[5, Infinity])/32 + 
   (15*S[-5, -1, Infinity])/4 + 4*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 0, 1, 1, 1] -> -S[-1, Infinity]^6/360 + 
   (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (181*S[2, Infinity]^3)/560 - (S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (3*S[3, Infinity]^2)/128 - (25*S[1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/4 - S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 1, -1, -1, 1] -> 
  (-41*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^5*S[1, Infinity])/12 + 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (131*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (13*S[2, Infinity]^3)/7 - (S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (179*S[3, Infinity]^2)/128 - (9*S[-1, Infinity]*S[5, Infinity])/2 + 
   6*S[1, Infinity]*S[5, Infinity] + (15*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 1, -1, 0, 1] -> 
  -S[-1, Infinity]^6/20 + (S[-1, Infinity]^5*S[1, Infinity])/12 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (383*S[2, Infinity]^3)/560 + (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (29*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (35*S[3, Infinity]^2)/64 + (247*S[1, Infinity]*S[5, Infinity])/32 + 
   (29*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   5*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 1, -1, 1, 1] -> 
  -S[-1, Infinity]^6/720 + (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (101*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (317*S[2, Infinity]^3)/336 + (11*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (11*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (23*S[3, Infinity]^2)/64 - (375*S[1, Infinity]*S[5, Infinity])/64 - 
   6*S[-5, -1, Infinity] - 3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 1, 0, -1, 1] -> 
  (-7*S[-1, Infinity]^6)/120 + (13*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (437*S[2, Infinity]^3)/560 + (5*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (5*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (5*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/16 + 
   (221*S[1, Infinity]*S[5, Infinity])/32 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 1, 0, 0, 1] -> (-11*S[-1, Infinity]^6)/360 + 
   (S[-1, Infinity]^5*S[1, Infinity])/20 + (S[-1, Infinity]^4*S[2, Infinity])/
    24 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (7*S[2, Infinity]^3)/8 + (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (33*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (93*S[3, Infinity]^2)/128 + (47*S[1, Infinity]*S[5, Infinity])/8 + 
   (11*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 1, 0, 1, 1] -> (-59*S[-1, Infinity]^6)/720 + 
   (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/2 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (89*S[2, Infinity]^3)/280 + (23*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (23*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (23*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (75*S[3, Infinity]^2)/32 + (85*S[1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity]/4 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, -1, 1, 1, -1, 1] -> 
  S[-1, Infinity]^6/144 - (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (17*S[2, Infinity]^3)/560 + (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   S[3, Infinity]^2/128 + (S[-1, Infinity]*S[5, Infinity])/2 - 
   (3*S[1, Infinity]*S[5, Infinity])/64, H[1, -1, -1, 1, 1, 0, 1] -> 
  (11*S[-1, Infinity]^6)/360 - (S[-1, Infinity]^5*S[1, Infinity])/20 - 
   (S[-1, Infinity]^4*S[2, Infinity])/4 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (59*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (6*S[2, Infinity]^3)/5 - (S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (63*S[3, Infinity]^2)/32 - (277*S[1, Infinity]*S[5, Infinity])/64 - 
   (11*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, -1, -1, 1, 1, 1, 1] -> S[-1, Infinity]^6/80 - 
   (S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   S[2, Infinity]^3/7 - (S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (25*S[3, Infinity]^2)/32 + (S[1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, -1, -1, -1, 1] -> 
  (67*S[-1, Infinity]^6)/720 - (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/2 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (9*S[2, Infinity]^3)/35 - (49*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (73*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   4*S[1, Infinity]*S[5, Infinity] - (11*S[-5, -1, Infinity])/4 - 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, -1, -1, 0, 1] -> 
  (-3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (737*S[2, Infinity]^3)/560 + (87*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    8 + (223*S[3, Infinity]^2)/128 + (177*S[1, Infinity]*S[5, Infinity])/64 + 
   (7*S[-5, -1, Infinity])/4 + (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[1, -1, 0, -1, -1, 1, 1] -> (-13*S[-1, Infinity]^6)/240 + 
   (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (25*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (163*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/2 - 
   (1651*S[2, Infinity]^3)/560 + (21*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (681*S[3, Infinity]^2)/128 + (35*S[1, Infinity]*S[5, Infinity])/32 + 
   (17*S[-5, -1, Infinity])/2 + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, -1, 0, -1, 1] -> 
  S[-1, Infinity]^6/20 - (S[-1, Infinity]^5*S[1, Infinity])/10 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
   (13*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (417*S[2, Infinity]^3)/560 - (21*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (5*S[3, Infinity]^2)/4 - (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   (125*S[1, Infinity]*S[5, Infinity])/16 - 4*S[-5, -1, Infinity] - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 0, -1, 0, 0, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (61*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (21*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (233*S[2, Infinity]^3)/840 + 3*S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] - S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (195*S[3, Infinity]^2)/64 + (41*S[1, Infinity]*S[5, Infinity])/32 - 
   (3*S[-5, -1, Infinity])/2 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, 0, -1, 0, 1, 1] -> (-7*S[-1, Infinity]^6)/90 + 
   (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (2*S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (117*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (1027*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (49*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (513*S[3, Infinity]^2)/128 + (33*S[1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, -1, 1, -1, 1] -> 
  -S[-1, Infinity]^6/24 + (S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (49*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (23*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (377*S[2, Infinity]^3)/70 + (7*S[-1, Infinity]^3*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (459*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   (61*S[1, Infinity]*S[5, Infinity])/8 - 20*S[-5, -1, Infinity] - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   42*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, -1, 1, 0, 1] -> 
  S[-1, Infinity]^6/20 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
   (119*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (1613*S[2, Infinity]^3)/560 - (45*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (35*S[3, Infinity]^2)/16 - (507*S[1, Infinity]*S[5, Infinity])/32 - 
   (23*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   16*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, -1, 1, 1, 1] -> 
  (3*S[-1, Infinity]^6)/40 - (2*S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (123*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (77*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (1837*S[2, Infinity]^3)/560 - (21*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (111*S[3, Infinity]^2)/128 + (61*S[1, Infinity]*S[5, Infinity])/8 + 
   (23*S[-5, -1, Infinity])/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 6*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 0, -1, -1, 1] -> -S[-1, Infinity]^6/360 - 
   (S[-1, Infinity]^5*S[1, Infinity])/60 - (S[-1, Infinity]^4*S[2, Infinity])/
    12 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (457*S[2, Infinity]^3)/560 - (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (243*S[3, Infinity]^2)/128 - (527*S[-1, Infinity]*S[5, Infinity])/64 + 
   (125*S[1, Infinity]*S[5, Infinity])/64 - (9*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, 0, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (21*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (871*S[2, Infinity]^3)/1680 + (9*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (123*S[3, Infinity]^2)/64 + (51*S[1, Infinity]*S[5, Infinity])/32 + 
   (7*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 0, -1, 1, 1] -> S[-1, Infinity]^6/24 - 
   (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (51*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (27*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   S[2, Infinity]^3/10 + (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    16 + (169*S[3, Infinity]^2)/128 + (27*S[1, Infinity]*S[5, Infinity])/8 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], H[1, -1, 0, 0, 0, -1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (439*S[2, Infinity]^3)/840 + (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (15*S[3, Infinity]^2)/8 - 
   (155*S[-1, Infinity]*S[5, Infinity])/32 - 
   (17*S[1, Infinity]*S[5, Infinity])/16 - 4*S[-5, -1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[1, -1, 0, 0, 0, 0, 1] -> 
  (-8*S[2, Infinity]^3)/35 + (15*S[1, Infinity]*S[5, Infinity])/16 + 
   S[-5, -1, Infinity], H[1, -1, 0, 0, 0, 1, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (53*S[2, Infinity]^3)/168 + (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 + S[3, Infinity]^2 - 
   (59*S[1, Infinity]*S[5, Infinity])/32 - (5*S[-5, -1, Infinity])/2 + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[1, -1, 0, 0, 1, -1, 1] -> 
  -S[-1, Infinity]^6/20 + (S[-1, Infinity]^5*S[1, Infinity])/12 + 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/2 - 
   (129*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (47*S[2, Infinity]^3)/70 - 
   (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (77*S[3, Infinity]^2)/32 + (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (15*S[1, Infinity]*S[5, Infinity])/32 + (17*S[-5, -1, Infinity])/4 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 0, 1, 0, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (65*S[2, Infinity]^3)/168 - (9*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (203*S[3, Infinity]^2)/64 + (11*S[1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 0, 1, 1, 1] -> (7*S[-1, Infinity]^6)/180 - 
   (S[-1, Infinity]^5*S[1, Infinity])/15 - (S[-1, Infinity]^4*S[2, Infinity])/
    4 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (3*S[2, Infinity]^3)/56 - (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (81*S[3, Infinity]^2)/32 - (15*S[1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/2 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 1, -1, -1, 1] -> (-7*S[-1, Infinity]^6)/240 + 
   (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (143*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (69*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (249*S[2, Infinity]^3)/80 - (39*S[3, Infinity]^2)/8 + 
   (221*S[1, Infinity]*S[5, Infinity])/32 + 13*S[-5, -1, Infinity] + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 7*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 1, -1, 0, 1] -> -S[-1, Infinity]^6/20 + 
   (S[-1, Infinity]^5*S[1, Infinity])/30 - (S[-1, Infinity]^4*S[2, Infinity])/
    16 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (25*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (139*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (111*S[2, Infinity]^3)/40 + (39*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    16 - (455*S[3, Infinity]^2)/128 + (547*S[1, Infinity]*S[5, Infinity])/
    32 + 13*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 16*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, 1, -1, 1, 1] -> 
  (-3*S[-1, Infinity]^6)/80 + (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (451*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (141*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (3103*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (417*S[3, Infinity]^2)/64 - (845*S[1, Infinity]*S[5, Infinity])/64 - 
   (47*S[-5, -1, Infinity])/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   11*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   42*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, 1, 0, -1, 1] -> 
  S[-1, Infinity]^6/20 - (S[-1, Infinity]^5*S[1, Infinity])/10 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (81*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (71*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (43*S[2, Infinity]^3)/140 - (5*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (25*S[3, Infinity]^2)/128 + 
   (403*S[-1, Infinity]*S[5, Infinity])/64 - 
   (123*S[1, Infinity]*S[5, Infinity])/16 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 1, 0, 0, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (8*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (251*S[2, Infinity]^3)/420 + (9*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 - (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (59*S[3, Infinity]^2)/32 + (21*S[1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 1, 0, 1, 1] -> (-7*S[-1, Infinity]^6)/90 + 
   (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (799*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (99*S[3, Infinity]^2)/32 + (89*S[1, Infinity]*S[5, Infinity])/64 + 
   (7*S[-5, -1, Infinity])/4 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, 1, 1, -1, 1] -> 
  -S[-1, Infinity]^6/40 + (S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (11*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (333*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (69*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (11*S[2, Infinity]^3)/5 - (111*S[3, Infinity]^2)/32 - 
   (279*S[-1, Infinity]*S[5, Infinity])/64 + 
   (457*S[1, Infinity]*S[5, Infinity])/64 + (37*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   15*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 0, 1, 1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/2 - 
   (121*S[2, Infinity]^3)/560 + (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (119*S[3, Infinity]^2)/128 + (53*S[1, Infinity]*S[5, Infinity])/64 + 
   (11*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, -1, 0, 1, 1, 1, 1] -> (7*S[-1, Infinity]^6)/360 - 
   (S[-1, Infinity]^5*S[1, Infinity])/30 - (S[-1, Infinity]^4*S[2, Infinity])/
    8 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (11*S[2, Infinity]^3)/35 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (109*S[3, Infinity]^2)/64 - (27*S[1, Infinity]*S[5, Infinity])/32 - 
   (5*S[-5, -1, Infinity])/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, -1, -1, -1, 1] -> 
  S[-1, Infinity]^6/240 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (143*S[2, Infinity]^3)/105 + S[-1, Infinity]^3*S[3, Infinity] - 
   S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity] - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + (23*S[3, Infinity]^2)/32 + 
   (11*S[-1, Infinity]*S[5, Infinity])/2 - 4*S[1, Infinity]*S[5, Infinity] - 
   (9*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, -1, -1, 0, 1] -> 
  (17*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (57*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (303*S[2, Infinity]^3)/280 + (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (87*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (221*S[3, Infinity]^2)/128 - (125*S[1, Infinity]*S[5, Infinity])/32 - 
   (9*S[-5, -1, Infinity])/4 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, -1, -1, 1, 1] -> 
  (11*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (1501*S[2, Infinity]^3)/1680 - (31*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (23*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (23*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (9*S[3, Infinity]^2)/64 + (369*S[1, Infinity]*S[5, Infinity])/64 + 
   6*S[-5, -1, Infinity] + 3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, -1, 0, -1, 1] -> 
  (7*S[-1, Infinity]^6)/90 - (S[-1, Infinity]^5*S[1, Infinity])/10 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (33*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (2011*S[2, Infinity]^3)/560 - (S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (275*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   (61*S[1, Infinity]*S[5, Infinity])/8 - 10*S[-5, -1, Infinity] - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   22*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, -1, 0, 0, 1] -> 
  S[-1, Infinity]^6/360 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (123*S[2, Infinity]^3)/560 + (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[3, Infinity]^2)/2 - (15*S[1, Infinity]*S[5, Infinity])/8 - 
   (9*S[-5, -1, Infinity])/4 - 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 1, -1, 0, 1, 1] -> (17*S[-1, Infinity]^6)/240 - 
   (S[-1, Infinity]^5*S[1, Infinity])/8 - 
   (25*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (107*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (97*S[2, Infinity]^3)/70 - (13*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (35*S[3, Infinity]^2)/8 - (101*S[1, Infinity]*S[5, Infinity])/64 - 
   (7*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   5*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, -1, 1, -1, 1] -> 
  S[-1, Infinity]^6/144 - (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (61*S[2, Infinity]^3)/560 - (5*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (15*S[3, Infinity]^2)/32 - 2*S[-1, Infinity]*S[5, Infinity] + 
   (3*S[1, Infinity]*S[5, Infinity])/16, H[1, -1, 1, -1, 1, 0, 1] -> 
  -S[-1, Infinity]^6/240 - (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (99*S[2, Infinity]^3)/280 - (S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (115*S[3, Infinity]^2)/64 + S[1, Infinity]*S[5, Infinity] + 
   (3*S[-5, -1, Infinity])/4 + 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 1, -1, 1, 1, 1] -> (-47*S[-1, Infinity]^6)/720 + 
   (13*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (23*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[2, Infinity]^3)/7 + (31*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (23*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (31*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (23*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (199*S[3, Infinity]^2)/64 + (23*S[1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - 3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, -1, -1, 1] -> 
  S[-1, Infinity]^6/60 + (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (99*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (2*S[2, Infinity]^3)/35 + (11*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (11*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (193*S[3, Infinity]^2)/128 + (93*S[-1, Infinity]*S[5, Infinity])/8 - 
   (99*S[1, Infinity]*S[5, Infinity])/32 + 3*S[-5, -1, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, -1, 0, 1] -> 
  S[-1, Infinity]^6/15 - (S[-1, Infinity]^5*S[1, Infinity])/10 - 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (83*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (127*S[2, Infinity]^3)/120 - (S[-1, Infinity]^3*S[3, Infinity])/2 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (227*S[3, Infinity]^2)/64 - (331*S[1, Infinity]*S[5, Infinity])/32 - 
   (19*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, -1, 1, 1] -> 
  (-7*S[-1, Infinity]^6)/80 + (7*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (31*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (527*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (27*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (3411*S[2, Infinity]^3)/560 - (S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (599*S[3, Infinity]^2)/64 + (911*S[1, Infinity]*S[5, Infinity])/64 + 
   (47*S[-5, -1, Infinity])/2 + 
   (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   13*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   42*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, 0, -1, 1] -> 
  S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (899*S[2, Infinity]^3)/840 + (S[-1, Infinity]^3*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (41*S[3, Infinity]^2)/32 + (279*S[-1, Infinity]*S[5, Infinity])/64 + 
   (15*S[1, Infinity]*S[5, Infinity])/32 + (3*S[-5, -1, Infinity])/4 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, 0, 0, 1] -> 
  (11*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (17*S[2, Infinity]^3)/70 - (9*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (11*S[3, Infinity]^2)/64 - 2*S[1, Infinity]*S[5, Infinity] - 
   (5*S[-5, -1, Infinity])/2, H[1, -1, 1, 0, 0, 1, 1] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (2431*S[2, Infinity]^3)/1680 - (S[-1, Infinity]^3*S[3, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (19*S[3, Infinity]^2)/16 + (311*S[1, Infinity]*S[5, Infinity])/64 + 
   (21*S[-5, -1, Infinity])/4 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, 1, -1, 1] -> 
  (9*S[-1, Infinity]^6)/80 - (19*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (41*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (529*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (141*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (3643*S[2, Infinity]^3)/560 - (S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (29*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (23*S[3, Infinity]^2)/2 - (93*S[-1, Infinity]*S[5, Infinity])/16 - 
   (245*S[1, Infinity]*S[5, Infinity])/16 - 26*S[-5, -1, Infinity] - 
   (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   7*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   48*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, 1, 0, 1] -> 
  S[-1, Infinity]^6/15 - (S[-1, Infinity]^5*S[1, Infinity])/10 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (51*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (491*S[2, Infinity]^3)/336 - (2*S[-1, Infinity]^3*S[3, Infinity])/3 + 
   S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity] + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (349*S[3, Infinity]^2)/64 - (227*S[1, Infinity]*S[5, Infinity])/32 - 
   (23*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[1, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 0, 1, 1, 1] -> 
  -S[-1, Infinity]^6/18 + (11*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (3*S[2, Infinity]^3)/5 + (11*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (11*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (105*S[3, Infinity]^2)/32 + (81*S[1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 1, -1, -1, 1] -> 
  S[-1, Infinity]^6/360 - (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   S[2, Infinity]^3/56 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (69*S[3, Infinity]^2)/64 - (9*S[-1, Infinity]*S[5, Infinity])/2 - 
   (3*S[1, Infinity]*S[5, Infinity])/64 - 3*S[-5, -1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 1, -1, 0, 1] -> 
  (-11*S[-1, Infinity]^6)/240 + (3*S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (331*S[2, Infinity]^3)/560 + (13*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (115*S[3, Infinity]^2)/128 + (33*S[1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity]/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 1, -1, 1, 1] -> 
  S[-1, Infinity]^6/18 - (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/3 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (49*S[3, Infinity]^2)/32 - (81*S[1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 1, 1, 0, -1, 1] -> (-7*S[-1, Infinity]^6)/120 + 
   (S[-1, Infinity]^5*S[1, Infinity])/15 + (S[-1, Infinity]^4*S[2, Infinity])/
    4 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (12*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (33*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (1943*S[2, Infinity]^3)/560 - (5*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (5*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (361*S[3, Infinity]^2)/128 - (279*S[-1, Infinity]*S[5, Infinity])/64 + 
   (457*S[1, Infinity]*S[5, Infinity])/64 + (33*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   21*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 1, 0, 0, 1] -> 
  -S[-1, Infinity]^6/24 + (S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (S[-1, Infinity]^4*S[2, Infinity])/3 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (201*S[2, Infinity]^3)/280 + (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (163*S[3, Infinity]^2)/128 + (151*S[1, Infinity]*S[5, Infinity])/64 + 
   (5*S[-5, -1, Infinity])/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, -1, 1, 1, 0, 1, 1] -> (47*S[-1, Infinity]^6)/720 - 
   (13*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (23*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (3*S[2, Infinity]^3)/7 - (23*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (23*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (87*S[3, Infinity]^2)/64 - (23*S[1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/4 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + 3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 1, 1, -1, 1] -> 
  (-7*S[-1, Infinity]^6)/360 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (18*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (109*S[3, Infinity]^2)/64 + 4*S[-1, Infinity]*S[5, Infinity] + 
   (27*S[1, Infinity]*S[5, Infinity])/32 + (5*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 1, 1, 0, 1] -> 
  -S[-1, Infinity]^6/80 + (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   S[2, Infinity]^3/7 + (S[-1, Infinity]^3*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (25*S[3, Infinity]^2)/32 - (S[1, Infinity]*S[5, Infinity])/32 - 
   S[-5, -1, Infinity]/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, -1, 1, 1, 1, 1, 1] -> 
  -(S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, -1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/36 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (6*S[2, Infinity]^3)/35 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (17*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/32 + 
   S[1, Infinity]*S[5, Infinity] - S[-5, -1, Infinity]/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, -1, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (197*S[2, Infinity]^3)/840 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (131*S[3, Infinity]^2)/128 - (59*S[1, Infinity]*S[5, Infinity])/32 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[1, 0, -1, -1, -1, 1, 1] -> (11*S[-1, Infinity]^6)/720 + 
   (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (33*S[2, Infinity]^3)/70 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (181*S[3, Infinity]^2)/128 + (15*S[1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity] - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, -1, 0, -1, 1] -> 
  (-129*S[2, Infinity]^3)/280 - (23*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (151*S[3, Infinity]^2)/128 - 
   (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   (177*S[1, Infinity]*S[5, Infinity])/64 - (3*S[-5, -1, Infinity])/4, 
 H[1, 0, -1, -1, 0, 0, 1] -> (-41*S[2, Infinity]^3)/168 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (3*S[3, Infinity]^2)/8 + (23*S[1, Infinity]*S[5, Infinity])/16, 
 H[1, 0, -1, -1, 0, 1, 1] -> (-3*S[2, Infinity]^3)/40 - 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (25*S[3, Infinity]^2)/128 + (5*S[1, Infinity]*S[5, Infinity])/8, 
 H[1, 0, -1, -1, 1, -1, 1] -> (11*S[-1, Infinity]^6)/240 - 
   (7*S[-1, Infinity]^5*S[1, Infinity])/60 - 
   (17*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (29*S[2, Infinity]^3)/35 + (21*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (321*S[3, Infinity]^2)/128 + 
   (341*S[-1, Infinity]*S[5, Infinity])/64 - 
   (125*S[1, Infinity]*S[5, Infinity])/32 + (9*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, -1, 1, 0, 1] -> 
  -(S[-1, Infinity]^5*S[1, Infinity])/30 - (S[-1, Infinity]^4*S[2, Infinity])/
    12 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (25*S[2, Infinity]^3)/42 + (13*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (91*S[3, Infinity]^2)/128 + 
   (7*S[1, Infinity]*S[5, Infinity])/8 - (13*S[-5, -1, Infinity])/4 + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, -1, -1, 1, 1, 1] -> -S[-1, Infinity]^6/120 + 
   (S[-1, Infinity]^5*S[1, Infinity])/24 + (S[-1, Infinity]^4*S[2, Infinity])/
    8 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (33*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2 + 
   (113*S[2, Infinity]^3)/140 - (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (57*S[3, Infinity]^2)/128 - 
   (123*S[1, Infinity]*S[5, Infinity])/32 - (3*S[-5, -1, Infinity])/4 - 
   5*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, 0, -1, -1, 1] -> 
  -S[-1, Infinity]^6/9 + (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (93*S[2, Infinity]^3)/80 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (93*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/64 + 
   (73*S[1, Infinity]*S[5, Infinity])/64 - (5*S[-5, -1, Infinity])/4 + 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, 0, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (49*S[2, Infinity]^3)/40 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 3*S[3, Infinity]^2 - 
   (23*S[1, Infinity]*S[5, Infinity])/4 - 6*S[2, Infinity]*
    S[-1, 1, 1, 1, Infinity], H[1, 0, -1, 0, -1, 1, 1] -> 
  (7*S[-1, Infinity]^6)/90 - (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[2, Infinity])/2 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (153*S[2, Infinity]^3)/280 - (7*S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 + 
   (41*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   2*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (383*S[3, Infinity]^2)/128 + (129*S[1, Infinity]*S[5, Infinity])/16 - 
   S[-5, -1, Infinity] - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, 0, 0, -1, 1] -> 
  (677*S[2, Infinity]^3)/1680 - (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 - (45*S[3, Infinity]^2)/64 + 
   (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (51*S[1, Infinity]*S[5, Infinity])/32 + (5*S[-5, -1, Infinity])/2, 
 H[1, 0, -1, 0, 0, 0, 1] -> (61*S[2, Infinity]^3)/105 - 
   (3*S[3, Infinity]^2)/4 - (15*S[1, Infinity]*S[5, Infinity])/4, 
 H[1, 0, -1, 0, 0, 1, 1] -> (-643*S[2, Infinity]^3)/840 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (139*S[3, Infinity]^2)/64 + (83*S[1, Infinity]*S[5, Infinity])/16, 
 H[1, 0, -1, 0, 1, -1, 1] -> S[-1, Infinity]^6/30 - 
   (S[-1, Infinity]^5*S[1, Infinity])/10 - (S[-1, Infinity]^4*S[2, Infinity])/
    6 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (45*S[2, Infinity]^3)/56 + (15*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    8 - (133*S[3, Infinity]^2)/64 + (217*S[-1, Infinity]*S[5, Infinity])/32 - 
   (331*S[1, Infinity]*S[5, Infinity])/32 + (9*S[-5, -1, Infinity])/2 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, 0, 1, 0, 1] -> 
  (17*S[2, Infinity]^3)/140 + (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 + (5*S[3, Infinity]^2)/32 - 
   2*S[1, Infinity]*S[5, Infinity], H[1, 0, -1, 0, 1, 1, 1] -> 
  (17*S[2, Infinity]^3)/56 + (11*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (125*S[3, Infinity]^2)/128 - 
   (41*S[1, Infinity]*S[5, Infinity])/32, H[1, 0, -1, 1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/80 + (S[-1, Infinity]^5*S[1, Infinity])/12 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (49*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (493*S[2, Infinity]^3)/560 - (7*S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (243*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/8 + 
   (247*S[1, Infinity]*S[5, Infinity])/32 - (15*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   15*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, 1, -1, 0, 1] -> 
  (S[-1, Infinity]^5*S[1, Infinity])/15 - (S[-1, Infinity]^4*S[2, Infinity])/
    48 - (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   S[-1, Infinity]^2*S[2, Infinity]^2 - 
   (23*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (17*S[2, Infinity]^3)/48 + (63*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 - (29*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    16 + (73*S[3, Infinity]^2)/128 - 3*S[1, Infinity]*S[5, Infinity] + 
   5*S[-5, -1, Infinity] + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, -1, 1, -1, 1, 1] -> -S[-1, Infinity]^6/120 - 
   (S[-1, Infinity]^5*S[1, Infinity])/40 - (S[-1, Infinity]^4*S[2, Infinity])/
    24 - (3*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (21*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (587*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (27*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (105*S[3, Infinity]^2)/32 - (29*S[1, Infinity]*S[5, Infinity])/64 + 
   (7*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, 1, 0, -1, 1] -> 
  -S[-1, Infinity]^6/15 + (S[-1, Infinity]^5*S[1, Infinity])/5 + 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (799*S[2, Infinity]^3)/560 - (5*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (649*S[3, Infinity]^2)/128 - 
   (1457*S[-1, Infinity]*S[5, Infinity])/64 + 
   (547*S[1, Infinity]*S[5, Infinity])/32 - 13*S[-5, -1, Infinity] + 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   16*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, 1, 0, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/6 - S[-1, Infinity]^2*S[2, Infinity]^2 + 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (619*S[2, Infinity]^3)/420 - (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (53*S[3, Infinity]^2)/64 + 
   (171*S[1, Infinity]*S[5, Infinity])/32 + 5*S[-5, -1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 0, -1, 1, 0, 1, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (183*S[2, Infinity]^3)/140 + (5*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 - (127*S[3, Infinity]^2)/64 - 
   (257*S[1, Infinity]*S[5, Infinity])/64 - (3*S[-5, -1, Infinity])/2 + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[1, 0, -1, 1, 1, -1, 1] -> 
  -(S[-1, Infinity]^5*S[1, Infinity])/20 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (6*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (467*S[2, Infinity]^3)/560 - (45*S[3, Infinity]^2)/32 + 
   (465*S[-1, Infinity]*S[5, Infinity])/64 + 
   (33*S[1, Infinity]*S[5, Infinity])/64 + (15*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, -1, 1, 1, 0, 1] -> 
  -(S[-1, Infinity]^5*S[1, Infinity])/30 - (S[-1, Infinity]^4*S[2, Infinity])/
    8 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (169*S[2, Infinity]^3)/210 + (S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (247*S[3, Infinity]^2)/128 + 
   (99*S[1, Infinity]*S[5, Infinity])/64 - (21*S[-5, -1, Infinity])/4 + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, -1, 1, 1, 1, 1] -> -S[-1, Infinity]^6/240 + 
   (S[-1, Infinity]^5*S[1, Infinity])/40 + (S[-1, Infinity]^4*S[2, Infinity])/
    16 - (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (2*S[2, Infinity]^3)/35 - (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    8 + S[3, Infinity]^2/32 - (S[1, Infinity]*S[5, Infinity])/32 + 
   (9*S[-5, -1, Infinity])/4 - 3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 0, -1, -1, -1, 1] -> 
  S[-1, Infinity]^6/12 - (S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (673*S[2, Infinity]^3)/840 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (9*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/32 - 
   (33*S[1, Infinity]*S[5, Infinity])/32 + (3*S[-5, -1, Infinity])/2 - 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 2*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 0, -1, -1, 0, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]^2 + (159*S[2, Infinity]^3)/140 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (49*S[3, Infinity]^2)/32 + (23*S[1, Infinity]*S[5, Infinity])/16 + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[1, 0, 0, -1, -1, 1, 1] -> 
  (-3*S[-1, Infinity]^6)/40 + (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (11*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (221*S[2, Infinity]^3)/210 + (7*S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (179*S[3, Infinity]^2)/64 - (153*S[1, Infinity]*S[5, Infinity])/32 + 
   4*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 0, -1, 0, -1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (121*S[2, Infinity]^3)/120 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (71*S[3, Infinity]^2)/64 - (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (41*S[1, Infinity]*S[5, Infinity])/32 - (5*S[-5, -1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[1, 0, 0, -1, 0, 0, 1] -> 
  (-163*S[2, Infinity]^3)/140 + (33*S[3, Infinity]^2)/32 + 
   (45*S[1, Infinity]*S[5, Infinity])/8, H[1, 0, 0, -1, 0, 1, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (19*S[2, Infinity]^3)/210 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (179*S[3, Infinity]^2)/64 - (67*S[1, Infinity]*S[5, Infinity])/16 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[1, 0, 0, -1, 1, -1, 1] -> 
  S[-1, Infinity]^6/45 - (S[-1, Infinity]^5*S[1, Infinity])/12 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/2 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (1091*S[2, Infinity]^3)/1680 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + S[3, Infinity]^2/2 + 
   (155*S[-1, Infinity]*S[5, Infinity])/32 - 
   (15*S[1, Infinity]*S[5, Infinity])/8 - (11*S[-5, -1, Infinity])/4 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 0, -1, 1, 0, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (59*S[2, Infinity]^3)/70 - (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 + S[3, Infinity]^2 - 
   (139*S[1, Infinity]*S[5, Infinity])/32 - 5*S[-5, -1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 0, 0, -1, 1, 1, 1] -> S[-1, Infinity]^6/360 + 
   (S[-1, Infinity]^5*S[1, Infinity])/60 - (S[-1, Infinity]^4*S[2, Infinity])/
    24 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (4*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (5*S[2, Infinity]^3)/6 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (81*S[3, Infinity]^2)/64 + (15*S[1, Infinity]*S[5, Infinity])/8 + 
   3*S[-5, -1, Infinity] - 2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 0, 0, -1, -1, 1] -> 
  (11*S[2, Infinity]^3)/168 + (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    2 - S[3, Infinity]^2/4 - (29*S[1, Infinity]*S[5, Infinity])/32, 
 H[1, 0, 0, 0, -1, 0, 1] -> (811*S[2, Infinity]^3)/840 - 
   (3*S[3, Infinity]^2)/4 - (15*S[1, Infinity]*S[5, Infinity])/4, 
 H[1, 0, 0, 0, -1, 1, 1] -> 
  (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (53*S[2, Infinity]^3)/168 + (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 - (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (5*S[3, Infinity]^2)/8 + (91*S[1, Infinity]*S[5, Infinity])/32 + 
   (5*S[-5, -1, Infinity])/2, H[1, 0, 0, 0, 0, -1, 1] -> 
  (-11*S[2, Infinity]^3)/20 + (3*S[3, Infinity]^2)/4 - 
   (31*S[-1, Infinity]*S[5, Infinity])/16 + 
   (15*S[1, Infinity]*S[5, Infinity])/16 - S[-5, -1, Infinity], 
 H[1, 0, 0, 0, 0, 0, 1] -> (-8*S[2, Infinity]^3)/35, 
 H[1, 0, 0, 0, 0, 1, 1] -> (-2*S[2, Infinity]^3)/5 + S[3, Infinity]^2/2 + 
   S[1, Infinity]*S[5, Infinity], H[1, 0, 0, 0, 1, -1, 1] -> 
  (-3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 + 
   (179*S[2, Infinity]^3)/840 - (3*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/2 + (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (11*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/16 - 
   2*S[1, Infinity]*S[5, Infinity] - (3*S[-5, -1, Infinity])/2, 
 H[1, 0, 0, 0, 1, 0, 1] -> (118*S[2, Infinity]^3)/105 - S[3, Infinity]^2 - 
   4*S[1, Infinity]*S[5, Infinity], H[1, 0, 0, 0, 1, 1, 1] -> 
  (-11*S[2, Infinity]^3)/21 - S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (3*S[3, Infinity]^2)/2 + 2*S[1, Infinity]*S[5, Infinity], 
 H[1, 0, 0, 1, -1, -1, 1] -> -S[-1, Infinity]^6/360 + 
   (S[-1, Infinity]^5*S[1, Infinity])/20 - (S[-1, Infinity]^4*S[2, Infinity])/
    24 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (49*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (893*S[2, Infinity]^3)/1680 - (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (223*S[3, Infinity]^2)/128 - (527*S[-1, Infinity]*S[5, Infinity])/64 + 
   (47*S[1, Infinity]*S[5, Infinity])/8 - 3*S[-5, -1, Infinity] + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 4*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 0, 1, -1, 0, 1] -> 
  (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (9*S[2, Infinity]^3)/560 + (21*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (29*S[3, Infinity]^2)/64 + (171*S[1, Infinity]*S[5, Infinity])/32 + 
   5*S[-5, -1, Infinity], H[1, 0, 0, 1, -1, 1, 1] -> 
  -S[-1, Infinity]^6/180 - (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (8*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (1381*S[2, Infinity]^3)/1680 + (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (9*S[3, Infinity]^2)/16 - (159*S[1, Infinity]*S[5, Infinity])/64 - 
   (21*S[-5, -1, Infinity])/4 + 2*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 0, 1, 0, -1, 1] -> (-53*S[2, Infinity]^3)/120 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (23*S[3, Infinity]^2)/32 - (93*S[-1, Infinity]*S[5, Infinity])/32 + 
   (21*S[1, Infinity]*S[5, Infinity])/32 - (3*S[-5, -1, Infinity])/2, 
 H[1, 0, 0, 1, 0, 0, 1] -> (-38*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2 + 
   6*S[1, Infinity]*S[5, Infinity], H[1, 0, 0, 1, 0, 1, 1] -> 
  (37*S[2, Infinity]^3)/42 + 3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   3*S[3, Infinity]^2 - (11*S[1, Infinity]*S[5, Infinity])/2, 
 H[1, 0, 0, 1, 1, -1, 1] -> -S[-1, Infinity]^6/40 + 
   (S[-1, Infinity]^5*S[1, Infinity])/15 + (S[-1, Infinity]^4*S[2, Infinity])/
    8 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (13*S[2, Infinity]^3)/120 - (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    16 - (67*S[3, Infinity]^2)/128 - (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   (151*S[1, Infinity]*S[5, Infinity])/64 + (3*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 2*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity], H[1, 0, 0, 1, 1, 0, 1] -> 
  (13*S[2, Infinity]^3)/70 - (S[1, Infinity]*S[5, Infinity])/2, 
 H[1, 0, 0, 1, 1, 1, 1] -> (-8*S[2, Infinity]^3)/21 - 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + S[3, Infinity]^2 + 
   2*S[1, Infinity]*S[5, Infinity], H[1, 0, 1, -1, -1, -1, 1] -> 
  (-7*S[-1, Infinity]^6)/144 - (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
   (51*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (45*S[2, Infinity]^3)/112 + (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (31*S[3, Infinity]^2)/16 + (403*S[-1, Infinity]*S[5, Infinity])/64 - 
   (39*S[1, Infinity]*S[5, Infinity])/8 + 4*S[-5, -1, Infinity] + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, -1, -1, 0, 1] -> 
  -(S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (337*S[2, Infinity]^3)/336 - (77*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (23*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    16 - (219*S[3, Infinity]^2)/128 + (7*S[1, Infinity]*S[5, Infinity])/8 - 
   (7*S[-5, -1, Infinity])/4 - (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + 4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 1, -1, -1, 1, 1] -> (11*S[-1, Infinity]^6)/180 - 
   (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (53*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (23*S[2, Infinity]^3)/112 - (7*S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (67*S[3, Infinity]^2)/32 + (405*S[1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity]/4 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, -1, 0, -1, 1] -> 
  S[-1, Infinity]^6/15 - (S[-1, Infinity]^5*S[1, Infinity])/5 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (933*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (123*S[3, Infinity]^2)/32 + (1271*S[-1, Infinity]*S[5, Infinity])/64 - 
   (507*S[1, Infinity]*S[5, Infinity])/32 + (23*S[-5, -1, Infinity])/2 - 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   16*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, -1, 0, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/6 + S[-1, Infinity]^2*
    S[2, Infinity]^2 - (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/
    4 + (139*S[2, Infinity]^3)/120 + (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 - S[3, Infinity]^2/32 - 
   (139*S[1, Infinity]*S[5, Infinity])/32 - 5*S[-5, -1, Infinity] + 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 0, 1, -1, 0, 1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (37*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/4 - (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    4 + (207*S[3, Infinity]^2)/64 + (363*S[1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 0, 1, -1, 1, -1, 1] -> (-17*S[-1, Infinity]^6)/360 + 
   (S[-1, Infinity]^5*S[1, Infinity])/8 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (21*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (659*S[2, Infinity]^3)/560 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (149*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/16 + 
   S[1, Infinity]*S[5, Infinity] - (19*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   13*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, -1, 1, 0, 1] -> 
  (S[-1, Infinity]^5*S[1, Infinity])/15 + (S[-1, Infinity]^4*S[2, Infinity])/
    8 - (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (15*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (23*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (59*S[2, Infinity]^3)/84 + (7*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (19*S[1, Infinity]*S[5, Infinity])/4 + 5*S[-5, -1, Infinity] - 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 1, -1, 1, 1, 1] -> (7*S[-1, Infinity]^6)/720 - 
   (S[-1, Infinity]^5*S[1, Infinity])/20 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (31*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (57*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (6*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (235*S[3, Infinity]^2)/64 + (29*S[1, Infinity]*S[5, Infinity])/64 + 
   (3*S[-5, -1, Infinity])/4 + 6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, 0, -1, -1, 1] -> 
  -S[-1, Infinity]^6/9 + (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (67*S[2, Infinity]^3)/70 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (25*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/64 + 
   (103*S[1, Infinity]*S[5, Infinity])/32 - (5*S[-5, -1, Infinity])/4 + 
   4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, 0, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (191*S[2, Infinity]^3)/112 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (5*S[3, Infinity]^2)/32 - 2*S[1, Infinity]*S[5, Infinity] - 
   6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 0, 1, 0, -1, 1, 1] -> (7*S[-1, Infinity]^6)/90 - 
   (S[-1, Infinity]^5*S[1, Infinity])/30 - (S[-1, Infinity]^4*S[2, Infinity])/
    2 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + 
   (83*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (589*S[2, Infinity]^3)/560 - (7*S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (5*S[3, Infinity]^2)/32 + (259*S[1, Infinity]*S[5, Infinity])/64 - 
   (7*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, 0, 0, -1, 1] -> 
  (683*S[2, Infinity]^3)/840 + (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    8 - (155*S[3, Infinity]^2)/64 + (217*S[-1, Infinity]*S[5, Infinity])/32 + 
   (11*S[1, Infinity]*S[5, Infinity])/32 + (7*S[-5, -1, Infinity])/2, 
 H[1, 0, 1, 0, 0, 0, 1] -> (74*S[2, Infinity]^3)/105 - S[3, Infinity]^2 - 
   4*S[1, Infinity]*S[5, Infinity], H[1, 0, 1, 0, 0, 1, 1] -> 
  (-143*S[2, Infinity]^3)/210 - 2*S[1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + S[3, Infinity]^2 + (9*S[1, Infinity]*S[5, Infinity])/2, 
 H[1, 0, 1, 0, 1, -1, 1] -> S[-1, Infinity]^6/30 - 
   (S[-1, Infinity]^5*S[1, Infinity])/10 - (S[-1, Infinity]^4*S[2, Infinity])/
    6 + (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
   (83*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (661*S[2, Infinity]^3)/560 + 3*S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] - (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (9*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/16 - 
   (227*S[1, Infinity]*S[5, Infinity])/32 + (19*S[-5, -1, Infinity])/4 - 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   12*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, 0, 1, 0, 1] -> 
  (-31*S[2, Infinity]^3)/70 - 2*S[1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + 4*S[3, Infinity]^2 + 2*S[1, Infinity]*S[5, Infinity], 
 H[1, 0, 1, 0, 1, 1, 1] -> (8*S[2, Infinity]^3)/7 + 
   3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - 4*S[3, Infinity]^2 - 
   (11*S[1, Infinity]*S[5, Infinity])/2, H[1, 0, 1, 1, -1, -1, 1] -> 
  (31*S[-1, Infinity]^6)/360 - (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (23*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (17*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (55*S[2, Infinity]^3)/56 - (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (37*S[3, Infinity]^2)/64 + (93*S[-1, Infinity]*S[5, Infinity])/64 - 
   (277*S[1, Infinity]*S[5, Infinity])/64 + (5*S[-5, -1, Infinity])/4 - 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   8*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, 1, -1, 0, 1] -> 
  -(S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (53*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (551*S[2, Infinity]^3)/420 + (21*S[-1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (19*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
    16 - (129*S[3, Infinity]^2)/128 + (99*S[1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity]/4 + (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 0, 1, 1, -1, 1, 1] -> (-47*S[-1, Infinity]^6)/720 + 
   (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (23*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
   (53*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (36*S[2, Infinity]^3)/35 + (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (35*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (137*S[3, Infinity]^2)/64 + (29*S[1, Infinity]*S[5, Infinity])/64 - 
   (3*S[-5, -1, Infinity])/4 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, 1, 0, -1, 1] -> 
  (-711*S[2, Infinity]^3)/560 - (3*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/16 + (225*S[3, Infinity]^2)/128 - 
   (465*S[-1, Infinity]*S[5, Infinity])/64 + 
   (53*S[1, Infinity]*S[5, Infinity])/64 - (15*S[-5, -1, Infinity])/4, 
 H[1, 0, 1, 1, 0, 0, 1] -> (-17*S[2, Infinity]^3)/42 + 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - S[3, Infinity]^2/2 - 
   (S[1, Infinity]*S[5, Infinity])/2, H[1, 0, 1, 1, 0, 1, 1] -> 
  (-6*S[2, Infinity]^3)/5 - 2*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   2*S[3, Infinity]^2 + (9*S[1, Infinity]*S[5, Infinity])/2, 
 H[1, 0, 1, 1, 1, -1, 1] -> S[-1, Infinity]^6/240 + 
   (S[-1, Infinity]^5*S[1, Infinity])/40 - (S[-1, Infinity]^4*S[2, Infinity])/
    16 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (57*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (44*S[2, Infinity]^3)/35 + (7*S[1, Infinity]*S[2, Infinity]*
     S[3, Infinity])/8 - S[3, Infinity]^2/32 - 
   (S[1, Infinity]*S[5, Infinity])/32 - (9*S[-5, -1, Infinity])/4 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 0, 1, 1, 1, 0, 1] -> 
  (118*S[2, Infinity]^3)/105 + S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   S[3, Infinity]^2 - 3*S[1, Infinity]*S[5, Infinity], 
 H[1, 0, 1, 1, 1, 1, 1] -> (-8*S[2, Infinity]^3)/7 + 
   S[1, Infinity]*S[5, Infinity], H[1, 1, -1, -1, -1, -1, 1] -> 
  S[-1, Infinity]^6/60 - (S[-1, Infinity]^5*S[1, Infinity])/24 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (2*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (13*S[2, Infinity]^3)/35 - (S[-1, Infinity]^3*S[3, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - S[3, Infinity]^2/8 - 
   2*S[-1, Infinity]*S[5, Infinity] + S[1, Infinity]*S[5, Infinity] + 
   S[-5, -1, Infinity]/2 + S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, -1, -1, 0, 1] -> 
  -S[-1, Infinity]^6/120 + (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (51*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/5 + (171*S[2, Infinity]^3)/140 - 
   (S[-1, Infinity]^3*S[3, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 + 
   3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + (15*S[3, Infinity]^2)/8 + 
   (15*S[1, Infinity]*S[5, Infinity])/16 - (3*S[-5, -1, Infinity])/2 - 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, -1, -1, 1, 1] -> 
  (-13*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^5*S[1, Infinity])/20 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
   (4*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/5 + (9*S[2, Infinity]^3)/35 + 
   (31*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (15*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (9*S[3, Infinity]^2)/128 - (123*S[1, Infinity]*S[5, Infinity])/32 - 
   3*S[-5, -1, Infinity] + (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, -1, 0, -1, 1] -> 
  -S[-1, Infinity]^6/18 + (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 - 
   (147*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 - (327*S[2, Infinity]^3)/140 + 
   (23*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (23*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (23*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (193*S[3, Infinity]^2)/64 - (31*S[-1, Infinity]*S[5, Infinity])/64 + 
   (35*S[1, Infinity]*S[5, Infinity])/32 + (17*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   11*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, -1, 0, 0, 1] -> 
  -S[-1, Infinity]^6/120 + (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[2, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/8 - S[2, Infinity]^3/280 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 - 
   S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (5*S[3, Infinity]^2)/8 - (153*S[1, Infinity]*S[5, Infinity])/32 - 
   (3*S[-5, -1, Infinity])/2 + S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, -1, 0, 1, 1] -> 
  S[-1, Infinity]^6/120 - (S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (13*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (501*S[2, Infinity]^3)/560 + 
   (5*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (5*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (127*S[3, Infinity]^2)/128 + (29*S[1, Infinity]*S[5, Infinity])/16 + 
   (3*S[-5, -1, Infinity])/4 + 3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, -1, 1, -1, 1] -> 
  (-7*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (53*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 + (16*S[2, Infinity]^3)/105 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (11*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (11*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[3, Infinity]^2)/64 + (S[-1, Infinity]*S[5, Infinity])/2 + 
   (369*S[1, Infinity]*S[5, Infinity])/64 + 3*S[-5, -1, Infinity] - 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, -1, 1, 0, 1] -> 
  S[-1, Infinity]^6/80 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (103*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (63*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/16 - (437*S[2, Infinity]^3)/560 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (13*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (217*S[3, Infinity]^2)/128 + (405*S[1, Infinity]*S[5, Infinity])/64 + 
   (21*S[-5, -1, Infinity])/4 - S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 4*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] - 9*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, -1, 1, 1, 1] -> S[-1, Infinity]^6/72 - 
   (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/40 - S[2, Infinity]^3/40 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (49*S[3, Infinity]^2)/128 - (29*S[1, Infinity]*S[5, Infinity])/64, 
 H[1, 1, -1, 0, -1, -1, 1] -> (13*S[-1, Infinity]^6)/240 - 
   (S[-1, Infinity]^5*S[1, Infinity])/8 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (23*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (51*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 + (509*S[2, Infinity]^3)/560 - 
   (4*S[-1, Infinity]^3*S[3, Infinity])/3 + 
   (43*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (11*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (65*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (145*S[3, Infinity]^2)/64 - (403*S[-1, Infinity]*S[5, Infinity])/64 + 
   (87*S[1, Infinity]*S[5, Infinity])/32 - (9*S[-5, -1, Infinity])/4 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 0, -1, 0, 1] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + 
   (19*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (11*S[1, Infinity]^2*S[2, Infinity]^2)/16 + (859*S[2, Infinity]^3)/840 - 
   (S[-1, Infinity]^3*S[3, Infinity])/3 + S[-1, Infinity]^2*S[1, Infinity]*
    S[3, Infinity] - S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity] + 
   (95*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (33*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (117*S[3, Infinity]^2)/128 + (129*S[1, Infinity]*S[5, Infinity])/16 + 
   (7*S[-5, -1, Infinity])/2 - 2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (11*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 0, -1, 1, 1] -> 
  -S[-1, Infinity]^6/80 + (7*S[-1, Infinity]^5*S[1, Infinity])/60 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (181*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (37*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (5*S[1, Infinity]^2*S[2, Infinity]^2)/8 + (1641*S[2, Infinity]^3)/560 + 
   (25*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (29*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 - 
   (37*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (29*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (293*S[3, Infinity]^2)/128 - (521*S[1, Infinity]*S[5, Infinity])/32 - 
   (23*S[-5, -1, Infinity])/2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + 2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   14*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   24*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 0, 0, -1, 1] -> 
  -S[-1, Infinity]^6/40 + (S[-1, Infinity]^5*S[1, Infinity])/20 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (49*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/16 - (143*S[2, Infinity]^3)/420 - 
   (S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (139*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/4 + 
   (27*S[1, Infinity]*S[5, Infinity])/8 - (5*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 0, 0, 0, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (167*S[2, Infinity]^3)/280 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + S[3, Infinity]^2/4 + 
   (91*S[1, Infinity]*S[5, Infinity])/32 + (5*S[-5, -1, Infinity])/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 0, 0, 1, 1] -> -S[-1, Infinity]^6/360 + 
   (S[-1, Infinity]^5*S[1, Infinity])/60 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/10 + (13*S[2, Infinity]^3)/12 + 
   (S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   2*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - 
   (25*S[3, Infinity]^2)/64 - (85*S[1, Infinity]*S[5, Infinity])/16 - 
   3*S[-5, -1, Infinity] + S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 0, 1, -1, 1] -> 
  -S[-1, Infinity]^6/80 - (S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (177*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (18*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/10 - (1749*S[2, Infinity]^3)/560 - 
   (13*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (13*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (709*S[3, Infinity]^2)/128 + (465*S[-1, Infinity]*S[5, Infinity])/64 + 
   (911*S[1, Infinity]*S[5, Infinity])/64 + (31*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   13*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   30*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 0, 1, 0, 1] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 + 
   (77*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (23*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (51*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (281*S[2, Infinity]^3)/336 - 
   (S[-1, Infinity]^3*S[3, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/4 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - S[3, Infinity]^2/4 + 
   (259*S[1, Infinity]*S[5, Infinity])/64 - (3*S[-5, -1, Infinity])/4 - 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 0, 1, 1, 1] -> 
  -S[-1, Infinity]^6/720 + (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (53*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (43*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/16 - (131*S[2, Infinity]^3)/560 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (117*S[3, Infinity]^2)/128 + (81*S[1, Infinity]*S[5, Infinity])/64 + 
   (15*S[-5, -1, Infinity])/4 + (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 1, -1, -1, 1] -> 
  -S[-1, Infinity]^6/72 + (7*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (57*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 - (7*S[2, Infinity]^3)/60 + 
   (55*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (39*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (23*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (31*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (23*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (177*S[3, Infinity]^2)/128 + (11*S[-1, Infinity]*S[5, Infinity])/2 - 
   (375*S[1, Infinity]*S[5, Infinity])/64 + 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 1, -1, 0, 1] -> S[-1, Infinity]^6/80 - 
   (S[-1, Infinity]^5*S[1, Infinity])/40 + (S[-1, Infinity]^4*S[2, Infinity])/
    16 - (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/20 - (423*S[2, Infinity]^3)/280 + 
   (S[-1, Infinity]^3*S[3, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 - 
   4*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity] + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (35*S[3, Infinity]^2)/16 - (29*S[1, Infinity]*S[5, Infinity])/64 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 1, -1, 1, 1] -> 
  (7*S[-1, Infinity]^6)/720 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/80 + (233*S[2, Infinity]^3)/560 - 
   (17*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (9*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (101*S[3, Infinity]^2)/64 + (29*S[1, Infinity]*S[5, Infinity])/16 + 
   (3*S[-5, -1, Infinity])/4 + 3*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, 1, -1, 1, 0, -1, 1] -> (11*S[-1, Infinity]^6)/240 - 
   (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (161*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (63*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (33*S[1, Infinity]^2*S[2, Infinity]^2)/40 + (39*S[2, Infinity]^3)/16 + 
   (13*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (13*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (13*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (7*S[3, Infinity]^2)/4 + (465*S[-1, Infinity]*S[5, Infinity])/64 - 
   (845*S[1, Infinity]*S[5, Infinity])/64 - 7*S[-5, -1, Infinity] - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   11*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   18*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 1, 0, 0, 1] -> 
  S[-1, Infinity]^6/180 - (S[-1, Infinity]^5*S[1, Infinity])/60 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (67*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (19*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (53*S[2, Infinity]^3)/112 + 
   (S[-1, Infinity]^3*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (55*S[3, Infinity]^2)/64 - (159*S[1, Infinity]*S[5, Infinity])/64 - 
   (9*S[-5, -1, Infinity])/4 + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 1, 0, 1, 1] -> 
  (-7*S[-1, Infinity]^6)/720 + (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (6*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (19*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (37*S[2, Infinity]^3)/560 + 
   (S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (123*S[3, Infinity]^2)/64 - (29*S[1, Infinity]*S[5, Infinity])/16 - 
   (3*S[-5, -1, Infinity])/4 + (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 1, 1, -1, 1] -> 
  S[-1, Infinity]^6/720 - (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/16 + (467*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (229*S[3, Infinity]^2)/128 - 6*S[-1, Infinity]*S[5, Infinity] - 
   (81*S[1, Infinity]*S[5, Infinity])/64 - (15*S[-5, -1, Infinity])/4 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 1, 1, 0, 1] -> 
  -S[-1, Infinity]^6/72 + (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (13*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/40 + S[2, Infinity]^3/40 - 
   (S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (63*S[3, Infinity]^2)/128 + (29*S[1, Infinity]*S[5, Infinity])/64 + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, -1, 1, 1, 1, 1] -> 
  -(S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, -1, -1, -1, 1] -> 
  (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/5 - (73*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (49*S[3, Infinity]^2)/128 + (S[1, Infinity]*S[5, Infinity])/8 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 0, -1, -1, 0, 1] -> -(S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/16 + (71*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (15*S[3, Infinity]^2)/128 + (5*S[1, Infinity]*S[5, Infinity])/8 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[1, 1, 0, -1, -1, 1, 1] -> (-13*S[-1, Infinity]^6)/720 - 
   (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (9*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (9*S[2, Infinity]^3)/56 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + (19*S[3, Infinity]^2)/128 + 
   (29*S[1, Infinity]*S[5, Infinity])/16 - S[-5, -1, Infinity]/4 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, -1, 0, -1, 1] -> 
  -S[-1, Infinity]^6/18 + (2*S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (7*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (13*S[1, Infinity]^2*S[2, Infinity]^2)/16 - (79*S[2, Infinity]^3)/140 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/4 - 
   (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (23*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (137*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/16 + 
   (33*S[1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity] + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, -1, 0, 0, 1] -> 
  (21*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (19*S[2, Infinity]^3)/420 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (47*S[3, Infinity]^2)/64 - (67*S[1, Infinity]*S[5, Infinity])/16, 
 H[1, 1, 0, -1, 0, 1, 1] -> (S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (261*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (45*S[3, Infinity]^2)/128 + (29*S[1, Infinity]*S[5, Infinity])/32 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity], H[1, 1, 0, -1, 1, -1, 1] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/40 + (529*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (241*S[3, Infinity]^2)/128 - (279*S[-1, Infinity]*S[5, Infinity])/64 - 
   (101*S[1, Infinity]*S[5, Infinity])/64 - (9*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, -1, 1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 + 
   (13*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (711*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (15*S[3, Infinity]^2)/16 + (363*S[1, Infinity]*S[5, Infinity])/64 + 
   (7*S[-5, -1, Infinity])/2 + 2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 1, 0, -1, 1, 1, 1] -> S[-1, Infinity]^6/720 - 
   (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/4 + 
   (43*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (39*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (11*S[1, Infinity]^2*S[2, Infinity]^2)/40 + (25*S[2, Infinity]^3)/56 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (229*S[3, Infinity]^2)/128 - (23*S[1, Infinity]*S[5, Infinity])/64 - 
   (15*S[-5, -1, Infinity])/4 - (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, 0, -1, -1, 1] -> 
  S[-1, Infinity]^6/12 - (2*S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[2, Infinity])/2 + 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/8 - (47*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (3*S[3, Infinity]^2)/8 + (93*S[-1, Infinity]*S[5, Infinity])/32 - 
   (39*S[1, Infinity]*S[5, Infinity])/16 + (3*S[-5, -1, Infinity])/2 - 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, 0, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (21*S[1, Infinity]^2*S[2, Infinity]^2)/40 + (193*S[2, Infinity]^3)/210 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (67*S[3, Infinity]^2)/64 + (83*S[1, Infinity]*S[5, Infinity])/16 + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity], 
 H[1, 1, 0, 0, -1, 1, 1] -> (-7*S[-1, Infinity]^6)/180 + 
   (S[-1, Infinity]^5*S[1, Infinity])/60 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (8*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/10 - S[2, Infinity]^3/280 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (29*S[3, Infinity]^2)/32 - (85*S[1, Infinity]*S[5, Infinity])/16 + 
   S[-5, -1, Infinity]/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, 0, 0, -1, 1] -> 
  (7*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (13*S[2, Infinity]^3)/42 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (5*S[3, Infinity]^2)/8 - (93*S[-1, Infinity]*S[5, Infinity])/32 - 
   (59*S[1, Infinity]*S[5, Infinity])/32 - (3*S[-5, -1, Infinity])/2, 
 H[1, 1, 0, 0, 0, 0, 1] -> (-6*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2 + 
   S[1, Infinity]*S[5, Infinity], H[1, 1, 0, 0, 0, 1, 1] -> 
  (S[1, Infinity]^2*S[2, Infinity]^2)/5 + (47*S[2, Infinity]^3)/210 + 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - S[3, Infinity]^2/2 - 
   3*S[1, Infinity]*S[5, Infinity], H[1, 1, 0, 0, 1, -1, 1] -> 
  S[-1, Infinity]^6/90 - (S[-1, Infinity]^5*S[1, Infinity])/60 - 
   (S[-1, Infinity]^4*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (8*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (19*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (21*S[2, Infinity]^3)/40 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (47*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   (311*S[1, Infinity]*S[5, Infinity])/64 - (5*S[-5, -1, Infinity])/4 - 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, 0, 1, 0, 1] -> 
  (-3*S[1, Infinity]^2*S[2, Infinity]^2)/5 + (41*S[2, Infinity]^3)/210 - 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - S[3, Infinity]^2/2 + 
   (9*S[1, Infinity]*S[5, Infinity])/2, H[1, 1, 0, 0, 1, 1, 1] -> 
  (S[1, Infinity]^2*S[2, Infinity]^2)/20 - S[2, Infinity]^3/20 + 
   S[3, Infinity]^2/2 - (S[1, Infinity]*S[5, Infinity])/2, 
 H[1, 1, 0, 1, -1, -1, 1] -> (-67*S[-1, Infinity]^6)/720 + 
   (11*S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (13*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (5*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 + 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/16 - (41*S[2, Infinity]^3)/280 + 
   (49*S[-1, Infinity]^3*S[3, Infinity])/48 - 
   (35*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (209*S[3, Infinity]^2)/128 + (93*S[-1, Infinity]*S[5, Infinity])/64 + 
   (85*S[1, Infinity]*S[5, Infinity])/64 + S[-5, -1, Infinity] + 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, 1, -1, 0, 1] -> 
  (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (33*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (11*S[2, Infinity]^3)/560 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (39*S[3, Infinity]^2)/64 - (257*S[1, Infinity]*S[5, Infinity])/64 - 
   (7*S[-5, -1, Infinity])/2 - 2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[1, 1, 0, 1, -1, 1, 1] -> S[-1, Infinity]^6/18 + 
   (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (13*S[-1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 + 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/16 + (61*S[2, Infinity]^3)/80 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (49*S[3, Infinity]^2)/32 - (29*S[1, Infinity]*S[5, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, 1, 0, -1, 1] -> 
  -S[-1, Infinity]^6/18 + (2*S[-1, Infinity]^5*S[1, Infinity])/15 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/2 - 
   S[-1, Infinity]^2*S[2, Infinity]^2 + 
   (71*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (25*S[2, Infinity]^3)/56 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/4 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (7*S[3, Infinity]^2)/4 + (279*S[-1, Infinity]*S[5, Infinity])/64 + 
   (89*S[1, Infinity]*S[5, Infinity])/64 + (9*S[-5, -1, Infinity])/4 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, 1, 0, 0, 1] -> 
  (3*S[1, Infinity]^2*S[2, Infinity]^2)/5 + (11*S[2, Infinity]^3)/30 + 
   2*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - 2*S[3, Infinity]^2 - 
   (11*S[1, Infinity]*S[5, Infinity])/2, H[1, 1, 0, 1, 0, 1, 1] -> 
  (3*S[1, Infinity]^2*S[2, Infinity]^2)/20 - (13*S[2, Infinity]^3)/140 - 
   2*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + 2*S[3, Infinity]^2 + 
   2*S[1, Infinity]*S[5, Infinity], H[1, 1, 0, 1, 1, -1, 1] -> 
  (19*S[-1, Infinity]^6)/720 - (13*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 + 
   (7*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (53*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (47*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (9*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (321*S[2, Infinity]^3)/280 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (131*S[3, Infinity]^2)/128 - (23*S[1, Infinity]*S[5, Infinity])/64 + 
   (15*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 0, 1, 1, 0, 1] -> 
  -(S[1, Infinity]^2*S[2, Infinity]^2)/4 - (117*S[2, Infinity]^3)/140 - 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + S[3, Infinity]^2/2 + 
   (9*S[1, Infinity]*S[5, Infinity])/2, H[1, 1, 0, 1, 1, 1, 1] -> 
  (S[1, Infinity]^2*S[2, Infinity]^2)/5 + (73*S[2, Infinity]^3)/35 - 
   4*S[1, Infinity]*S[5, Infinity], H[1, 1, 1, -1, -1, -1, 1] -> 
  S[-1, Infinity]^6/72 - (7*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/36 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/20 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/5 + S[2, Infinity]^3/28 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/9 + S[-1, Infinity]^2*S[1, Infinity]*
    S[3, Infinity] - (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + S[3, Infinity]^2/2 - 
   2*S[-1, Infinity]*S[5, Infinity] + (63*S[1, Infinity]*S[5, Infinity])/32 - 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 1, -1, -1, 0, 1] -> -S[-1, Infinity]^6/90 + 
   (S[-1, Infinity]^5*S[1, Infinity])/24 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/2 + 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/20 + (29*S[2, Infinity]^3)/35 + 
   (S[1, Infinity]^3*S[3, Infinity])/48 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 - 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (5*S[3, Infinity]^2)/3 - (123*S[1, Infinity]*S[5, Infinity])/32 - 
   2*S[-5, -1, Infinity] + S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 5*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 1, -1, -1, 1, 1] -> -S[-1, Infinity]^6/80 + 
   (S[-1, Infinity]^5*S[1, Infinity])/20 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/36 + 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (3*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/16 - (9*S[2, Infinity]^3)/112 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/18 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/2 + 
   (S[1, Infinity]^3*S[3, Infinity])/48 - S[-1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (71*S[3, Infinity]^2)/96 - (29*S[1, Infinity]*S[5, Infinity])/64 - 
   S[-5, -1, Infinity]/4 - S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 1, -1, 0, -1, 1] -> -S[-1, Infinity]^6/144 - 
   (S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/12 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
   (15*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/8 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/4 - (139*S[2, Infinity]^3)/560 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/16 + 
   (21*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (S[1, Infinity]^3*S[3, Infinity])/24 + 
   (59*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/24 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (5*S[3, Infinity]^2)/12 - (155*S[-1, Infinity]*S[5, Infinity])/32 + 
   (61*S[1, Infinity]*S[5, Infinity])/8 + S[-5, -1, Infinity] + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   4*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, -1, 0, 0, 1] -> 
  -S[-1, Infinity]^6/360 + (S[-1, Infinity]^5*S[1, Infinity])/60 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/10 - (121*S[2, Infinity]^3)/140 + 
   (S[1, Infinity]^3*S[3, Infinity])/8 - 2*S[1, Infinity]*S[2, Infinity]*
    S[3, Infinity] + (3*S[3, Infinity]^2)/4 + 
   (15*S[1, Infinity]*S[5, Infinity])/8 + 2*S[-5, -1, Infinity] + 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
   4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, -1, 0, 1, 1] -> 
  S[-1, Infinity]^6/240 - (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (S[-1, Infinity]^4*S[2, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/6 + 
   (49*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (29*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (47*S[2, Infinity]^3)/112 - 
   (5*S[1, Infinity]^3*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 + 
   (19*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (23*S[3, Infinity]^2)/96 - (23*S[1, Infinity]*S[5, Infinity])/64 - 
   (9*S[-5, -1, Infinity])/4 - (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, -1, 1, -1, 1] -> 
  -S[-1, Infinity]^6/240 + (S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 + 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/36 + 
   (S[-1, Infinity]^4*S[2, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (9*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (431*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/18 - S[-1, Infinity]^2*S[1, Infinity]*
    S[3, Infinity] + S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity] - 
   (S[1, Infinity]^3*S[3, Infinity])/24 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 + 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (173*S[3, Infinity]^2)/96 + 4*S[-1, Infinity]*S[5, Infinity] + 
   (23*S[1, Infinity]*S[5, Infinity])/64 + (9*S[-5, -1, Infinity])/4 + 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, -1, 1, 0, 1] -> 
  S[-1, Infinity]^6/80 - (S[-1, Infinity]^5*S[1, Infinity])/20 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (S[-1, Infinity]^4*S[2, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (47*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/16 + (73*S[2, Infinity]^3)/560 - 
   (S[1, Infinity]^3*S[3, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 + 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (125*S[3, Infinity]^2)/96 + (29*S[1, Infinity]*S[5, Infinity])/64 + 
   S[-5, -1, Infinity]/4 - (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   9*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, -1, 1, 1, 1] -> 
  -(S[-1, Infinity]^3*S[1, Infinity]^3)/36 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/4 - 
   (S[-1, Infinity]^3*S[3, Infinity])/18 + 
   (7*S[1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 - 
   (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (7*S[3, Infinity]^2)/24 + (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   6*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, 0, -1, -1, 1] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^5*S[1, Infinity])/30 - 
   (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (3*S[2, Infinity]^3)/16 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (S[1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (35*S[3, Infinity]^2)/384 + (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   (25*S[1, Infinity]*S[5, Infinity])/32 + S[-5, -1, Infinity]/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, 0, -1, 0, 1] -> 
  -(S[-1, Infinity]^4*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
   (17*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (149*S[2, Infinity]^3)/336 - 
   (S[1, Infinity]^3*S[3, Infinity])/4 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
   (13*S[3, Infinity]^2)/128 - (41*S[1, Infinity]*S[5, Infinity])/32 + 
   (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 H[1, 1, 1, 0, -1, 1, 1] -> (-7*S[-1, Infinity]^6)/360 + 
   (S[-1, Infinity]^5*S[1, Infinity])/120 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + 
   (13*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (9*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (351*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 + 
   (13*S[1, Infinity]^3*S[3, Infinity])/48 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (223*S[3, Infinity]^2)/192 + (81*S[1, Infinity]*S[5, Infinity])/64 + 
   (5*S[-5, -1, Infinity])/2 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, 0, 0, -1, 1] -> 
  S[-1, Infinity]^6/36 - (S[-1, Infinity]^5*S[1, Infinity])/15 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/24 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/4 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
   (11*S[1, Infinity]^2*S[2, Infinity]^2)/20 + (37*S[2, Infinity]^3)/840 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 + 
   (S[1, Infinity]^3*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (57*S[3, Infinity]^2)/64 - (31*S[-1, Infinity]*S[5, Infinity])/32 - 
   (15*S[1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity]/2 - 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, 0, 0, 0, 1] -> 
  -(S[1, Infinity]^2*S[2, Infinity]^2)/5 - (9*S[2, Infinity]^3)/70 - 
   S[1, Infinity]*S[2, Infinity]*S[3, Infinity] + S[3, Infinity]^2 + 
   2*S[1, Infinity]*S[5, Infinity], H[1, 1, 1, 0, 0, 1, 1] -> 
  -(S[1, Infinity]^2*S[2, Infinity]^2)/4 + (97*S[2, Infinity]^3)/420 + 
   (S[1, Infinity]^3*S[3, Infinity])/6 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (2*S[3, Infinity]^2)/3 - (S[1, Infinity]*S[5, Infinity])/2, 
 H[1, 1, 1, 0, 1, -1, 1] -> (-13*S[-1, Infinity]^6)/360 + 
   (11*S[-1, Infinity]^5*S[1, Infinity])/120 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 + 
   (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
   (5*S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/4 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (13*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/80 + (281*S[2, Infinity]^3)/560 + 
   (7*S[-1, Infinity]^3*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/8 + 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/8 - 
   (S[1, Infinity]^3*S[3, Infinity])/6 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
   (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
   (31*S[3, Infinity]^2)/192 + (81*S[1, Infinity]*S[5, Infinity])/64 - 
   (5*S[-5, -1, Infinity])/2 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 - 3*S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 4*S[1, Infinity]*
    S[-1, 1, 1, 1, 1, Infinity] + 5*S[-1, 1, 1, 1, 1, 1, Infinity], 
 H[1, 1, 1, 0, 1, 0, 1] -> (7*S[1, Infinity]^2*S[2, Infinity]^2)/20 + 
   (149*S[2, Infinity]^3)/420 - (S[1, Infinity]^3*S[3, Infinity])/3 + 
   3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity] - (5*S[3, Infinity]^2)/3 - 
   (11*S[1, Infinity]*S[5, Infinity])/2, H[1, 1, 1, 0, 1, 1, 1] -> 
  (-3*S[1, Infinity]^2*S[2, Infinity]^2)/5 - (59*S[2, Infinity]^3)/35 + 
   (S[1, Infinity]^3*S[3, Infinity])/6 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + S[3, Infinity]^2/3 + 
   6*S[1, Infinity]*S[5, Infinity], H[1, 1, 1, 1, -1, -1, 1] -> 
  S[-1, Infinity]^6/240 - (S[-1, Infinity]^5*S[1, Infinity])/40 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 - 
   (S[-1, Infinity]^3*S[1, Infinity]^3)/18 + 
   (S[-1, Infinity]^2*S[1, Infinity]^4)/48 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/3 - 
   (3*S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/12 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/5 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/40 + (9*S[2, Infinity]^3)/40 - 
   (5*S[-1, Infinity]^3*S[3, Infinity])/18 + 
   (2*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/3 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/2 + 
   (S[1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 - 
   (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
   (2*S[3, Infinity]^2)/3 - S[-1, Infinity]*S[5, Infinity] + 
   (S[1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity]/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   2*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, 1, -1, 0, 1] -> 
  -S[-1, Infinity]^6/240 + (S[-1, Infinity]^5*S[1, Infinity])/40 - 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/16 + 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/4 - 
   (S[1, Infinity]^4*S[2, Infinity])/48 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
   (9*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/10 + 
   (2*S[1, Infinity]^2*S[2, Infinity]^2)/5 - (23*S[2, Infinity]^3)/80 + 
   (13*S[1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
   (89*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/48 + 
   (19*S[3, Infinity]^2)/24 - (S[1, Infinity]*S[5, Infinity])/32 + 
   S[-5, -1, Infinity]/2 + (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   3*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, 1, -1, 1, 1] -> 
  (S[-1, Infinity]^3*S[1, Infinity]^3)/18 - 
   (S[-1, Infinity]^2*S[1, Infinity]^4)/48 - 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 - 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/6 + 
   (S[1, Infinity]^4*S[2, Infinity])/48 - 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/2 - 
   (S[1, Infinity]^2*S[2, Infinity]^2)/8 + S[2, Infinity]^3/80 + 
   (S[-1, Infinity]^3*S[3, Infinity])/9 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/6 - 
   (7*S[1, Infinity]^3*S[3, Infinity])/24 - 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 + 
   (25*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/24 - 
   (7*S[3, Infinity]^2)/12 - (3*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
    2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, 1, 0, -1, 1] -> 
  S[-1, Infinity]^6/72 - (S[-1, Infinity]^5*S[1, Infinity])/30 + 
   (S[-1, Infinity]^4*S[1, Infinity]^2)/48 - 
   (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
   (3*S[1, Infinity]^2*S[2, Infinity]^2)/16 + (3*S[2, Infinity]^3)/40 - 
   (7*S[-1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/16 - 
   (5*S[1, Infinity]^3*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/24 + 
   (67*S[3, Infinity]^2)/384 - (27*S[1, Infinity]*S[5, Infinity])/32 - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, 1, 0, 0, 1] -> 
  -(S[1, Infinity]^2*S[2, Infinity]^2)/20 - (17*S[2, Infinity]^3)/140 + 
   (S[1, Infinity]^3*S[3, Infinity])/6 - 
   (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
   (5*S[3, Infinity]^2)/6 + 2*S[1, Infinity]*S[5, Infinity], 
 H[1, 1, 1, 1, 0, 1, 1] -> (S[1, Infinity]^4*S[2, Infinity])/24 + 
   (7*S[1, Infinity]^2*S[2, Infinity]^2)/20 + (159*S[2, Infinity]^3)/280 - 
   (S[1, Infinity]^3*S[3, Infinity])/3 + 
   (4*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 - 
   (2*S[3, Infinity]^2)/3 - 4*S[1, Infinity]*S[5, Infinity], 
 H[1, 1, 1, 1, 1, -1, 1] -> -(S[-1, Infinity]^3*S[1, Infinity]^3)/36 + 
   (S[-1, Infinity]^2*S[1, Infinity]^4)/48 - 
   (S[-1, Infinity]*S[1, Infinity]^5)/120 + 
   (S[-1, Infinity]^3*S[1, Infinity]*S[2, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, Infinity]^2*S[2, Infinity])/8 + 
   (S[-1, Infinity]*S[1, Infinity]^3*S[2, Infinity])/6 - 
   (S[1, Infinity]^4*S[2, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
   (11*S[-1, Infinity]*S[1, Infinity]*S[2, Infinity]^2)/40 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/8 - S[2, Infinity]^3/80 - 
   (S[-1, Infinity]^3*S[3, Infinity])/18 + 
   (S[-1, Infinity]^2*S[1, Infinity]*S[3, Infinity])/6 - 
   (S[-1, Infinity]*S[1, Infinity]^2*S[3, Infinity])/6 + 
   (7*S[1, Infinity]^3*S[3, Infinity])/48 + 
   (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 - 
   (29*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/48 + 
   (7*S[3, Infinity]^2)/24 - (S[-1, Infinity]*S[5, Infinity])/5 + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[-1, 1, 1, 1, 1, 1, Infinity], H[1, 1, 1, 1, 1, 0, 1] -> 
  -(S[1, Infinity]^4*S[2, Infinity])/24 + (S[1, Infinity]^2*S[2, Infinity]^2)/
    20 - (3*S[2, Infinity]^3)/56 + (S[1, Infinity]^3*S[3, Infinity])/6 - 
   (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 + S[3, Infinity]^2/3 + 
   S[1, Infinity]*S[5, Infinity], H[1, 1, 1, 1, 1, 1, 1] -> 
  S[1, Infinity]^6/720 - (S[1, Infinity]^4*S[2, Infinity])/48 + 
   (S[1, Infinity]^2*S[2, Infinity]^2)/80 - S[2, Infinity]^3/112 + 
   (S[1, Infinity]^3*S[3, Infinity])/18 - 
   (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 + S[3, Infinity]^2/18 + 
   (S[1, Infinity]*S[5, Infinity])/5, S[1, {1/2}, Infinity] -> 
  -S[-1, Infinity], S[2, {1/2}, Infinity] -> -S[-1, Infinity]^2/2 + 
   S[2, Infinity]/2, S[2, {-1/2}, Infinity] -> 
  -S[2, Infinity]/2 + S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, {-1, 1/2}, Infinity] -> -S[-1, Infinity]^2/2 - S[2, Infinity]/2 + 
   2*S[1, 1, {1/2, 1/2}, Infinity], S[1, 1, {-1, -1/2}, Infinity] -> 
  -S[-1, Infinity]^2/2 + S[2, Infinity]/2 + 2*S[-1, Infinity]*
    S[1, {-1/2}, Infinity] - 2*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, {1/2, 1}, Infinity] -> S[2, Infinity]/2, 
 S[1, 1, {1/2, -1}, Infinity] -> -S[-1, Infinity]^2/2 - 
   S[1, 1, {1/2, 1/2}, Infinity], S[1, 1, {1/2, 2}, Infinity] -> 
  (3*S[2, Infinity])/2, S[1, 1, {1/2, -2}, Infinity] -> 
  -S[-1, Infinity]^2 - S[2, Infinity]/2 - 2*S[-1, Infinity]*
    S[1, {-1/2}, Infinity] + 2*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, {-1/2, 1}, Infinity] -> -S[2, Infinity]/2 + 
   S[1, {-1/2}, Infinity]^2/2 + S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, {-1/2, -1}, Infinity] -> -(S[-1, Infinity]*S[1, {-1/2}, Infinity]) + 
   2*S[1, 1, {1/2, 1/2}, Infinity], S[1, 1, {-1/2, -1/2}, Infinity] -> 
  -S[-1, Infinity]^2/2 + S[1, {-1/2}, Infinity]^2/2 + 
   S[1, 1, {1/2, 1/2}, Infinity], S[1, 1, {-1/2, 2}, Infinity] -> 
  S[-1, Infinity]^2/2 - S[2, Infinity]/2 + S[-1, Infinity]*
    S[1, {-1/2}, Infinity] - S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, {-1/2, -2}, Infinity] -> S[2, Infinity]/2 + 
   S[1, {-1/2}, Infinity]^2/2 + S[1, 1, {1/2, 1/2}, Infinity], 
 S[3, {1/2}, Infinity] -> -S[-1, Infinity]^3/6 + 
   (S[-1, Infinity]*S[2, Infinity])/2 + (7*S[3, Infinity])/8, 
 S[2, 1, {1, 1/2}, Infinity] -> -S[-1, Infinity]^3/6 - 
   (S[-1, Infinity]*S[2, Infinity])/2 + S[3, Infinity]/4, 
 S[2, 1, {1, -1/2}, Infinity] -> -S[-1, Infinity]^3/3 + 
   (S[-1, Infinity]*S[2, Infinity])/3 + (37*S[3, Infinity])/36 - 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + (2*S[3, {-1/2}, Infinity])/
    3 + (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, S[2, 1, {-1, 1/2}, Infinity] -> 
  (S[-1, Infinity]*S[2, Infinity])/2 + (13*S[3, Infinity])/24 + 
   S[3, {-1/2}, Infinity], S[2, 1, {-1, -1/2}, Infinity] -> 
  (S[-1, Infinity]*S[2, Infinity])/2 + (13*S[3, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[2, 1, {1/2, 1}, Infinity] -> (S[-1, Infinity]*S[2, Infinity])/2 + 
   S[3, Infinity], S[2, 1, {1/2, -1}, Infinity] -> 
  -S[-1, Infinity]^3/3 - (4*S[3, Infinity])/3 - 2*S[3, {-1/2}, Infinity], 
 S[2, 1, {1/2, 1/2}, Infinity] -> -S[-1, Infinity]^3/6 + 
   S[-1, Infinity]*S[2, Infinity] + (7*S[3, Infinity])/3 + 
   3*S[3, {-1/2}, Infinity], S[2, 1, {1/2, -1/2}, Infinity] -> 
  -(S[-1, Infinity]*S[2, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 2, {-1/2, 1/2}, Infinity] + S[1, 2, {1/2, -1/2}, Infinity] + 
   S[2, 1, {-1/2, 1/2}, Infinity], S[2, 1, {1/2, 2}, Infinity] -> 
  (3*S[-1, Infinity]*S[2, Infinity])/2 + (21*S[3, Infinity])/8, 
 S[2, 1, {1/2, -2}, Infinity] -> -S[-1, Infinity]^3/2 + 
   2*S[-1, Infinity]*S[2, Infinity] + (7*S[3, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + 3*S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[2, 1, {-1/2, 1}, Infinity] -> -S[-1, Infinity]^3/6 + 
   (S[-1, Infinity]*S[2, Infinity])/6 + (37*S[3, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   (4*S[3, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[2, 1, {-1/2, -1}, Infinity] -> 
  S[-1, Infinity]^3/6 + S[-1, Infinity]*S[2, Infinity] + 
   (11*S[3, Infinity])/4 + 4*S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[2, 1, {-1/2, -1/2}, Infinity] -> (-2*S[-1, Infinity]^3)/3 + 
   2*S[-1, Infinity]*S[2, Infinity] + (7*S[3, Infinity])/2 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 4*S[3, {-1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 2, {-1/2, -1/2}, Infinity], S[2, 1, {-1/2, 2}, Infinity] -> 
  S[-1, Infinity]^3/6 - (3*S[-1, Infinity]*S[2, Infinity])/2 - 
   (21*S[3, Infinity])/8 - 2*S[3, {-1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[2, 1, {-1/2, -2}, Infinity] -> S[-1, Infinity]^3/6 - 
   (S[-1, Infinity]*S[2, Infinity])/6 + (35*S[3, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + (5*S[3, {-1/2}, Infinity])/
    3 - (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 2, {-1, 1/2}, Infinity] -> 
  -S[-1, Infinity]^3/6 + (S[-1, Infinity]*S[2, Infinity])/2 + 
   (4*S[3, Infinity])/3 + 3*S[3, {-1/2}, Infinity], 
 S[1, 2, {-1, -1/2}, Infinity] -> -S[-1, Infinity]^3/3 - 
   S[-1, Infinity]*S[2, Infinity] - (15*S[3, Infinity])/8 - 
   4*S[3, {-1/2}, Infinity] + 2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity], S[1, 2, {1/2, 1}, Infinity] -> (5*S[3, Infinity])/8, 
 S[1, 2, {1/2, -1}, Infinity] -> (-13*S[3, Infinity])/24, 
 S[1, 2, {1/2, 1/2}, Infinity] -> (S[-1, Infinity]*S[2, Infinity])/2 + 
   (7*S[3, Infinity])/6 + S[3, {-1/2}, Infinity], 
 S[1, 2, {1/2, 2}, Infinity] -> (-3*S[-1, Infinity]*S[2, Infinity])/2, 
 S[1, 2, {1/2, -2}, Infinity] -> S[-1, Infinity]^3/3 - 
   (3*S[-1, Infinity]*S[2, Infinity])/2 - (7*S[3, Infinity])/2 - 
   4*S[3, {-1/2}, Infinity] + 2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity], S[1, 2, {-1/2, 1}, Infinity] -> 
  S[-1, Infinity]^3/3 - (S[-1, Infinity]*S[2, Infinity])/3 - 
   (37*S[3, Infinity])/36 + (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + S[3, {-1/2}, Infinity]/3 - 
   (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, S[1, 2, {-1/2, -1}, Infinity] -> 
  -S[-1, Infinity]^3/6 + S[3, Infinity]/3 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - S[3, {-1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 2, {-1/2, 2}, Infinity] -> -S[-1, Infinity]^3/6 + 
   S[-1, Infinity]*S[2, Infinity] + (7*S[3, Infinity])/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 2*S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 2, {-1/2, -2}, Infinity] -> S[-1, Infinity]^3/6 - 
   (S[-1, Infinity]*S[2, Infinity])/6 + (35*S[3, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity] - (4*S[3, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 1, 1, {-1, 1, 1/2}, Infinity] -> 
  -S[-1, Infinity]^3/2 + (3*S[-1, Infinity]*S[2, Infinity])/2 + 
   (21*S[3, Infinity])/8 + 4*S[3, {-1/2}, Infinity], 
 S[1, 1, 1, {-1, 1, -1/2}, Infinity] -> S[-1, Infinity]^3/6 - 
   (5*S[-1, Infinity]*S[2, Infinity])/6 - (161*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity] - S[-1, Infinity]*
    S[1, {-1/2}, Infinity]^2 - (8*S[3, {-1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1, -1, 1/2}, Infinity] -> -S[-1, Infinity]^3/2 - 
   (7*S[-1, Infinity]*S[2, Infinity])/2 - (21*S[3, Infinity])/4 - 
   8*S[3, {-1/2}, Infinity] + 4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity], S[1, 1, 1, {-1, -1, -1/2}, Infinity] -> 
  (-5*S[-1, Infinity]^3)/6 + (13*S[-1, Infinity]*S[2, Infinity])/6 + 
   (161*S[3, Infinity])/36 - (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + (16*S[3, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (4*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1, 1/2, 1}, Infinity] -> -S[-1, Infinity]^3/3 + 
   (S[-1, Infinity]*S[2, Infinity])/3 + (107*S[3, Infinity])/72 - 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   (8*S[3, {-1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1, 1/2, -1}, Infinity] -> 5*S[-1, Infinity]*S[2, Infinity] + 
   (71*S[3, Infinity])/8 + 12*S[3, {-1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {-1, 1/2, 1/2}, Infinity] -> 
  (-7*S[-1, Infinity]*S[2, Infinity])/4 - (21*S[3, Infinity])/8 - 
   4*S[3, {-1/2}, Infinity] + 
   (3*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 2, {1/2, -1/2}, Infinity]/2 + (3*S[2, 1, {-1/2, 1/2}, Infinity])/2, 
 S[1, 1, 1, {-1, 1/2, 2}, Infinity] -> S[-1, Infinity]^3/3 - 
   3*S[-1, Infinity]*S[2, Infinity] - (35*S[3, Infinity])/8 - 
   4*S[3, {-1/2}, Infinity] + 2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity], S[1, 1, 1, {-1, 1/2, -2}, Infinity] -> 
  (2*S[-1, Infinity]*S[2, Infinity])/3 + (91*S[3, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + (4*S[3, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1, -1/2, 1}, Infinity] -> -S[-1, Infinity]^3/2 - 
   (7*S[-1, Infinity]*S[2, Infinity])/6 - (31*S[3, Infinity])/18 - 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^2 - (13*S[3, {-1/2}, Infinity])/3 + 
   (13*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1, -1/2, -1}, Infinity] -> (2*S[-1, Infinity]^3)/3 - 
   3*S[-1, Infinity]*S[2, Infinity] - (79*S[3, Infinity])/12 + 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 7*S[3, {-1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 2, {-1/2, -1/2}, Infinity], S[1, 1, 1, {-1, -1/2, 2}, Infinity] -> 
  S[-1, Infinity]^3/6 + (5*S[-1, Infinity]*S[2, Infinity])/2 + 
   (35*S[3, Infinity])/12 + (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {-1, -1/2, -2}, Infinity] -> (-7*S[-1, Infinity]^3)/6 + 
   (7*S[-1, Infinity]*S[2, Infinity])/6 + (77*S[3, Infinity])/36 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, {-1/2}, Infinity]^2 + (7*S[3, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (4*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {1/2, 1, 1}, Infinity] -> (3*S[3, Infinity])/4, 
 S[1, 1, 1, {1/2, 1, -1}, Infinity] -> S[-1, Infinity]^3/6 + 
   S[-1, Infinity]*S[2, Infinity] + (3*S[3, Infinity])/4 + 
   S[3, {-1/2}, Infinity], S[1, 1, 1, {1/2, 1, 1/2}, Infinity] -> 
  (3*S[3, Infinity])/4 + S[3, {-1/2}, Infinity], 
 S[1, 1, 1, {1/2, 1, -1/2}, Infinity] -> S[-1, Infinity]^3/6 - 
   (7*S[-1, Infinity]*S[2, Infinity])/3 - (25*S[3, Infinity])/9 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + S[-1, Infinity]*
    S[1, {-1/2}, Infinity]^2 - (11*S[3, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3 - S[1, 2, {-1/2, 1/2}, Infinity] + 
   2*S[1, 2, {1/2, -1/2}, Infinity] + 2*S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 1, {-1/2, -1, -1/2}, 
    Infinity], S[1, 1, 1, {1/2, 1, 2}, Infinity] -> (7*S[3, Infinity])/4, 
 S[1, 1, 1, {1/2, 1, -2}, Infinity] -> (S[-1, Infinity]*S[2, Infinity])/3 - 
   (7*S[3, Infinity])/18 + (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + S[-1, Infinity]*
    S[1, {-1/2}, Infinity]^2 - (4*S[3, {-1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {1/2, -1, 1}, Infinity] -> 
  (-2*S[-1, Infinity]*S[2, Infinity])/3 - (163*S[3, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   (7*S[3, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 1, 1, {1/2, -1, -1}, Infinity] -> 
  -S[-1, Infinity]^3/6 - 2*S[-1, Infinity]*S[2, Infinity] - 
   (11*S[3, Infinity])/4 - 4*S[3, {-1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {1/2, -1, 1/2}, Infinity] -> S[-1, Infinity]^3/2 + 
   (9*S[-1, Infinity]*S[2, Infinity])/2 + (21*S[3, Infinity])/4 + 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity] - 
   S[2, Infinity]*S[1, {-1/2}, Infinity] - 2*S[-1, Infinity]*
    S[1, {-1/2}, Infinity]^2 + 8*S[3, {-1/2}, Infinity] - 
   6*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 2, {-1/2, 1/2}, Infinity] - 2*S[1, 2, {1/2, -1/2}, Infinity] - 
   3*S[2, 1, {-1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 1, {-1/2, -1, -1/2}, 
    Infinity], S[1, 1, 1, {1/2, -1, -1/2}, Infinity] -> 
  -S[-1, Infinity]^3/3 + (3*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 2, {-1/2, -1/2}, Infinity], S[1, 1, 1, {1/2, -1, 2}, Infinity] -> 
  -S[-1, Infinity]^3/2 + 3*S[-1, Infinity]*S[2, Infinity] + 
   (7*S[3, Infinity])/2 + 6*S[3, {-1/2}, Infinity] - 
   3*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {1/2, -1, -2}, Infinity] -> -S[-1, Infinity]^3/3 - 
   (11*S[-1, Infinity]*S[2, Infinity])/6 - (161*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - (8*S[3, {-1/2}, Infinity])/
    3 + (5*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 1, 1, {1/2, 1/2, 1}, Infinity] -> 
  -S[-1, Infinity]^3/3 + (5*S[-1, Infinity]*S[2, Infinity])/3 + 
   (113*S[3, Infinity])/36 - (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   (10*S[3, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 1, 1, {1/2, 1/2, -1}, Infinity] -> 
  -S[-1, Infinity]^3/2 - (11*S[-1, Infinity]*S[2, Infinity])/4 - 
   (21*S[3, Infinity])/8 - S[-1, Infinity]^2*S[1, {-1/2}, Infinity] + 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, {-1/2}, Infinity]^2 - 4*S[3, {-1/2}, Infinity] + 
   (11*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 2, {-1/2, 1/2}, Infinity] + (5*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (5*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 1, {-1/2, -1, -1/2}, 
    Infinity], S[1, 1, 1, {1/2, 1/2, 1/2}, Infinity] -> 
  S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, 1, {-1/2, -1/2, 1/2}, Infinity]/3 + 
   S[1, 1, 1, {-1/2, 1/2, -1/2}, Infinity]/3 + 
   S[1, 1, 1, {1/2, -1/2, -1/2}, Infinity]/3, 
 S[1, 1, 1, {1/2, 1/2, -1/2}, Infinity] -> (-3*S[-1, Infinity]^3)/2 + 
   6*S[-1, Infinity]*S[2, Infinity] + (49*S[3, Infinity])/4 - 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity] + 18*S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, 1, {-1/2, 1/2, 1/2}, Infinity] - S[1, 1, 1, {1/2, -1/2, 1/2}, 
    Infinity], S[1, 1, 1, {1/2, 1/2, 2}, Infinity] -> 
  -S[-1, Infinity]^3/6 + (3*S[-1, Infinity]*S[2, Infinity])/2 + 
   (21*S[3, Infinity])/8 + 2*S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {1/2, 1/2, -2}, Infinity] -> S[-1, Infinity]^3/2 + 
   2*S[-1, Infinity]*S[2, Infinity] + (21*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   5*S[3, {-1/2}, Infinity] - 4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] + S[1, 2, {-1/2, -1/2}, Infinity], 
 S[1, 1, 1, {1/2, -1/2, -1}, Infinity] -> -S[-1, Infinity]^3/3 + 
   (5*S[-1, Infinity]*S[2, Infinity])/2 + (47*S[3, Infinity])/12 + 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 5*S[3, {-1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   3*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, 1, {-1, 1/2, -1/2}, Infinity], 
 S[1, 1, 1, {1/2, -1/2, 2}, Infinity] -> -S[-1, Infinity]^3/2 - 
   5*S[-1, Infinity]*S[2, Infinity] - (139*S[3, Infinity])/24 - 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^2 - 8*S[3, {-1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   7*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 2, {-1/2, 1/2}, Infinity] + 4*S[1, 2, {1/2, -1/2}, Infinity] + 
   4*S[2, 1, {-1/2, 1/2}, Infinity] - 
   2*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, {1/2, -1/2, -2}, Infinity] -> -S[-1, Infinity]^3/3 + 
   (25*S[-1, Infinity]*S[2, Infinity])/6 + (445*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^2 + (22*S[3, {-1/2}, Infinity])/
    3 - S[-1, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   (7*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (8*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (4*S[1, 2, {-1/2, -1/2}, Infinity])/3 + S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[1, 2, {1/2, -1/2}, Infinity] - 3*S[2, 1, {-1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, {1/2, 2, 1}, Infinity] -> (-3*S[-1, Infinity]*S[2, Infinity])/2 + 
   (7*S[3, Infinity])/4, S[1, 1, 1, {1/2, 2, -1}, Infinity] -> 
  (2*S[-1, Infinity]^3)/3 - (3*S[-1, Infinity]*S[2, Infinity])/2 - 
   (21*S[3, Infinity])/4 - 8*S[3, {-1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {1/2, 2, 1/2}, Infinity] -> 
  (-3*S[-1, Infinity]*S[2, Infinity])/2 - S[3, Infinity]/4, 
 S[1, 1, 1, {1/2, 2, -1/2}, Infinity] -> S[-1, Infinity]^3/2 + 
   (2*S[-1, Infinity]*S[2, Infinity])/3 + (13*S[3, Infinity])/18 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + (4*S[3, {-1/2}, Infinity])/
    3 - (7*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {1/2, -2, 1}, Infinity] -> S[-1, Infinity]^3/6 - 
   (4*S[-1, Infinity]*S[2, Infinity])/3 - (245*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^2 - (11*S[3, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {1/2, -2, -1}, Infinity] -> -S[-1, Infinity]^3/2 - 
   S[-1, Infinity]*S[2, Infinity] + (35*S[3, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity] + 3*S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {1/2, -2, 1/2}, Infinity] -> (-2*S[-1, Infinity]^3)/3 - 
   (3*S[-1, Infinity]*S[2, Infinity])/2 - (55*S[3, Infinity])/24 - 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 5*S[3, {-1/2}, Infinity] + 
   6*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 2, {-1/2, -1/2}, Infinity], 
 S[1, 1, 1, {1/2, -2, -1/2}, Infinity] -> (5*S[-1, Infinity]^3)/6 + 
   (S[-1, Infinity]*S[2, Infinity])/3 + (17*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity] - 2*S[-1, Infinity]*
    S[1, {-1/2}, Infinity]^2 + (5*S[3, {-1/2}, Infinity])/3 - 
   (11*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (4*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1/2, 1, 1}, Infinity] -> S[-1, Infinity]^3/6 - 
   (S[-1, Infinity]*S[2, Infinity])/6 - (37*S[3, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + S[1, {-1/2}, Infinity]^3/6 + 
   (2*S[3, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 1, 1, {-1/2, 1, -1}, Infinity] -> 
  S[-1, Infinity]^3/3 - (S[-1, Infinity]*S[2, Infinity])/3 - 
   S[3, Infinity]/36 + (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + S[3, {-1/2}, Infinity]/3 - 
   (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1/2, 1, 1/2}, Infinity] -> S[-1, Infinity]^3/6 - 
   (11*S[-1, Infinity]*S[2, Infinity])/6 - (25*S[3, Infinity])/9 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (11*S[3, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3 + S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[2, 1, {-1/2, 1/2}, Infinity] - S[1, 1, 1, {-1, -1/2, -1/2}, 
    Infinity] - S[1, 1, 1, {-1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, {-1/2, 1, -1/2}, Infinity] -> 
  (S[-1, Infinity]*S[2, Infinity])/3 + (13*S[3, Infinity])/36 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + S[1, {-1/2}, Infinity]^3/6 + 
   (2*S[3, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 1, 1, {-1/2, 1, 2}, Infinity] -> 
  (-5*S[-1, Infinity]*S[2, Infinity])/6 - (119*S[3, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (2*S[3, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 1, 1, {-1/2, 1, -2}, Infinity] -> 
  S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[2, Infinity])/6 + 
   (35*S[3, Infinity])/72 + (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + S[1, {-1/2}, Infinity]^3/6 + 
   (2*S[3, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 1, 1, {-1/2, -1, 1}, Infinity] -> 
  (3*S[-1, Infinity]*S[2, Infinity])/2 + (37*S[3, Infinity])/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 3*S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {-1/2, -1, -1}, Infinity] -> -S[-1, Infinity]^3/3 + 
   (4*S[-1, Infinity]*S[2, Infinity])/3 + (19*S[3, Infinity])/9 - 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 + 
   (8*S[3, {-1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1/2, -1, 1/2}, Infinity] -> -S[-1, Infinity]^3/3 - 
   (S[-1, Infinity]*S[2, Infinity])/2 - (5*S[3, Infinity])/12 - 
   S[3, {-1/2}, Infinity] + S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {-1/2, -1, 2}, Infinity] -> -S[-1, Infinity]^3/6 + 
   (7*S[-1, Infinity]*S[2, Infinity])/6 + (259*S[3, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + (4*S[3, {-1/2}, Infinity])/
    3 + (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 2, {-1/2, -1/2}, Infinity]/3, S[1, 1, 1, {-1/2, -1, -2}, Infinity] -> 
  S[-1, Infinity]^3 - S[-1, Infinity]*S[2, Infinity] - 
   (35*S[3, Infinity])/12 + (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^2 - 2*S[3, {-1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 2, {-1/2, -1/2}, Infinity], 
 S[1, 1, 1, {-1/2, 1/2, -1}, Infinity] -> S[-1, Infinity]^3/6 + 
   (3*S[-1, Infinity]*S[2, Infinity])/2 + (11*S[3, Infinity])/4 + 
   4*S[3, {-1/2}, Infinity] + S[-1, Infinity]*S[1, 1, {-1/2, 1/2}, 
     Infinity] - S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 2, {-1/2, -1/2}, Infinity] - S[1, 1, 1, {-1, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, {-1/2, 1/2, 2}, Infinity] -> 
  (10*S[-1, Infinity]*S[2, Infinity])/3 + (163*S[3, Infinity])/36 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^2 + (23*S[3, {-1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (8*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3 + S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[1, 2, {1/2, -1/2}, Infinity] - 3*S[2, 1, {-1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, {-1/2, 1/2, -2}, Infinity] -> (-2*S[-1, Infinity]^3)/3 - 
   (9*S[-1, Infinity]*S[2, Infinity])/2 - (59*S[3, Infinity])/12 - 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^2 - 9*S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   7*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 2, {1/2, -1/2}, Infinity] + 4*S[2, 1, {-1/2, 1/2}, Infinity] - 
   2*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, {-1/2, -1/2, 1}, Infinity] -> -S[-1, Infinity]^3/3 + 
   (3*S[-1, Infinity]*S[2, Infinity])/2 + (11*S[3, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   S[1, {-1/2}, Infinity]^3/6 + 3*S[3, {-1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {-1/2, -1/2, -1}, Infinity] -> -S[-1, Infinity]^3/2 - 
   (S[-1, Infinity]*S[2, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 2, {1/2, -1/2}, Infinity] + S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 1, {-1/2, -1, -1/2}, 
    Infinity], S[1, 1, 1, {-1/2, -1/2, -1/2}, Infinity] -> 
  -S[-1, Infinity]^3/2 + 2*S[-1, Infinity]*S[2, Infinity] + 
   (49*S[3, Infinity])/12 - (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   S[1, {-1/2}, Infinity]^3/6 + 6*S[3, {-1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {-1/2, -1/2, 2}, Infinity] -> S[-1, Infinity]^3/3 + 
   (5*S[-1, Infinity]*S[2, Infinity])/2 + (7*S[3, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 4*S[3, {-1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 2, {-1/2, -1/2}, Infinity], S[1, 1, 1, {-1/2, -1/2, -2}, Infinity] -> 
  -S[-1, Infinity]^3/3 + S[-1, Infinity]*S[2, Infinity] + 
   (7*S[3, Infinity])/4 - (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 + 
   S[1, {-1/2}, Infinity]^3/6 + 3*S[3, {-1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {-1/2, 2, 1}, Infinity] -> (3*S[-1, Infinity]*S[2, Infinity])/2 + 
   (35*S[3, Infinity])/24 + (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 3*S[3, {-1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity], 
 S[1, 1, 1, {-1/2, 2, -1}, Infinity] -> (2*S[-1, Infinity]^3)/3 - 
   (17*S[-1, Infinity]*S[2, Infinity])/6 - (245*S[3, Infinity])/72 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - (11*S[3, {-1/2}, Infinity])/
    3 - (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1/2, 2, 1/2}, Infinity] -> S[-1, Infinity]^3/3 + 
   (5*S[-1, Infinity]*S[2, Infinity])/6 + (17*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + (5*S[3, {-1/2}, Infinity])/3 - 
   (8*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (4*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1/2, 2, -1/2}, Infinity] -> (-7*S[-1, Infinity]^3)/6 - 
   2*S[-1, Infinity]*S[2, Infinity] - (55*S[3, Infinity])/24 - 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^2 - 5*S[3, {-1/2}, Infinity] + 
   7*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 2, {-1/2, -1/2}, Infinity], S[1, 1, 1, {-1/2, -2, 1}, Infinity] -> 
  S[-1, Infinity]^3/3 - (S[-1, Infinity]*S[2, Infinity])/3 + 
   (35*S[3, Infinity])/36 + (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + S[1, {-1/2}, Infinity]^3/6 - 
   (2*S[3, {-1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1/2, -2, -1}, Infinity] -> -S[-1, Infinity]^3/2 + 
   (10*S[-1, Infinity]*S[2, Infinity])/3 + (133*S[3, Infinity])/36 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (14*S[3, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1/2, -2, 1/2}, Infinity] -> (2*S[-1, Infinity]^3)/3 - 
   (S[-1, Infinity]*S[2, Infinity])/6 - S[3, Infinity]/18 + 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (2*S[3, {-1/2}, Infinity])/3 - 
   (11*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (4*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, {-1/2, -2, -1/2}, Infinity] -> S[-1, Infinity]^3/3 - 
   (S[-1, Infinity]*S[2, Infinity])/3 - (37*S[3, Infinity])/36 + 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + S[1, {-1/2}, Infinity]^3/6 - 
   (2*S[3, {-1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 2, {-1/2, -1/2}, Infinity])/3, S[3, 1, {1, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/24 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/8 - (S[-1, Infinity]*S[3, Infinity])/8, 
 S[3, 1, {1, -1/2}, Infinity] -> S[2, Infinity]^2/8 + 
   S[3, Infinity]*S[1, {-1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 + S[1, 1, {1/2, 1/2}, Infinity]^2/2, S[3, 1, {-1, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/18 - (S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (49*S[2, Infinity]^2)/60 - (7*S[-1, Infinity]*S[3, Infinity])/8 - 
   3*S[4, {-1/2}, Infinity] + S[1, 3, {-1, 1/2}, Infinity] - 
   S[-1, 1, 1, 1, Infinity]/3, S[3, 1, {-1, -1/2}, Infinity] -> 
  -S[-1, Infinity]^4/18 + (7*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (17*S[2, Infinity]^2)/30 + (13*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 3*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 3, {-1, 1/2}, Infinity] + S[-1, 1, 1, 1, Infinity]/3, 
 S[3, 1, {1/2, 1}, Infinity] -> S[-1, Infinity]^4/24 + S[2, Infinity]^2/20 + 
   (S[-1, Infinity]*S[3, Infinity])/8 - S[-1, 1, 1, 1, Infinity], 
 S[3, 1, {1/2, -1}, Infinity] -> -S[-1, Infinity]^4/6 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (7*S[-1, Infinity]*S[3, Infinity])/
    8 + S[4, {-1/2}, Infinity] - S[1, 3, {-1, 1/2}, Infinity], 
 S[3, 1, {1/2, 1/2}, Infinity] -> (5*S[-1, Infinity]^4)/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/6 + (19*S[2, Infinity]^2)/60 + 
   7*S[4, {-1/2}, Infinity] - (17*S[-1, 1, 1, 1, Infinity])/3, 
 S[3, 1, {1/2, -1/2}, Infinity] -> -(S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/4 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 3, {-1/2, 1/2}, Infinity] + S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity], S[3, 1, {1/2, 2}, Infinity] -> 
  S[-1, Infinity]^4/8 - (3*S[2, Infinity]^2)/20 - 3*S[-1, 1, 1, 1, Infinity], 
 S[3, 1, {1/2, -2}, Infinity] -> (-3*S[2, Infinity]^2)/5 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 3, {-1, 1/2}, Infinity] - 3*S[-1, 1, 1, 1, Infinity], 
 S[3, 1, {-1/2, 1}, Infinity] -> (-9*S[2, Infinity]^2)/10 - 
   S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 3, {-1/2, -2}, Infinity], S[3, 1, {-1/2, -1}, Infinity] -> 
  (5*S[-1, Infinity]^4)/24 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (31*S[2, Infinity]^2)/40 - (3*S[-1, Infinity]*S[3, Infinity])/4 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 6*S[4, {-1/2}, Infinity] - 
   3*S[-1, 1, 1, 1, Infinity], S[3, 1, {-1/2, 1/2}, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/4 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 3, {1/2, -1/2}, Infinity] + S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity], S[3, 1, {-1/2, -1/2}, Infinity] -> 
  -S[-1, Infinity]^4/36 + (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (7*S[2, Infinity]^2)/30 + (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   16*S[4, {-1/2}, Infinity] - S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] + 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 4*S[1, 3, {-1, 1/2}, Infinity] + 
   3*S[1, 3, {-1/2, -2}, Infinity] - (13*S[-1, 1, 1, 1, Infinity])/3, 
 S[3, 1, {-1/2, 2}, Infinity] -> -S[-1, Infinity]^4/24 - 
   (7*S[2, Infinity]^2)/8 - (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 3*S[4, {-1/2}, Infinity] + 
   2*S[-1, 1, 1, 1, Infinity], S[3, 1, {-1/2, -2}, Infinity] -> 
  (9*S[2, Infinity]^2)/5 + S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   4*S[4, {-1/2}, Infinity] - 2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] - S[1, 3, {-1/2, -2}, Infinity], 
 S[2, 2, {1, 1/2}, Infinity] -> -S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + (19*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]*S[3, Infinity])/4, S[2, 2, {1, -1/2}, Infinity] -> 
  (-97*S[2, Infinity]^2)/40 - 2*S[3, Infinity]*S[1, {-1/2}, Infinity] - 
   2*S[4, {-1/2}, Infinity] + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 2*S[1, 3, {-1/2, -2}, Infinity], 
 S[2, 2, {-1, 1/2}, Infinity] -> -S[-1, Infinity]^4/72 + 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + (161*S[2, Infinity]^2)/120 + 
   (7*S[-1, Infinity]*S[3, Infinity])/4 + 9*S[4, {-1/2}, Infinity] - 
   2*S[1, 3, {-1, 1/2}, Infinity] - (5*S[-1, 1, 1, 1, Infinity])/3, 
 S[2, 2, {-1, -1/2}, Infinity] -> (7*S[-1, Infinity]^4)/72 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/6 + (11*S[2, Infinity]^2)/24 - 
   (3*S[-1, Infinity]*S[3, Infinity])/2 - 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 3*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[-1, 1, 1, 1, Infinity])/3, S[2, 2, {1/2, 1}, Infinity] -> 
  S[-1, Infinity]^4/24 - (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/40 - (S[-1, Infinity]*S[3, Infinity])/4 - 
   S[-1, 1, 1, 1, Infinity], S[2, 2, {1/2, -1}, Infinity] -> 
  S[-1, Infinity]^4/72 - (S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (191*S[2, Infinity]^2)/120 - (7*S[-1, Infinity]*S[3, Infinity])/4 - 
   8*S[4, {-1/2}, Infinity] + 2*S[1, 3, {-1, 1/2}, Infinity] + 
   (5*S[-1, 1, 1, 1, Infinity])/3, S[2, 2, {1/2, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/8 - (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/8 + 4*S[4, {-1/2}, Infinity] - 
   4*S[-1, 1, 1, 1, Infinity], S[2, 2, {1/2, 2}, Infinity] -> 
  -S[-1, Infinity]^4/8 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (51*S[2, Infinity]^2)/40 + 3*S[-1, 1, 1, 1, Infinity], 
 S[2, 2, {1/2, -2}, Infinity] -> S[-1, Infinity]^4/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/12 - (203*S[2, Infinity]^2)/120 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4 + 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 9*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (14*S[-1, 1, 1, 1, Infinity])/3, S[2, 2, {-1/2, 1}, Infinity] -> 
  (77*S[2, Infinity]^2)/40 + 2*S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   3*S[4, {-1/2}, Infinity] - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 2*S[1, 3, {-1/2, -2}, Infinity], 
 S[2, 2, {-1/2, -1}, Infinity] -> (-7*S[-1, Infinity]^4)/72 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/6 - (5*S[2, Infinity]^2)/24 + 
   (3*S[-1, Infinity]*S[3, Infinity])/2 + 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 3*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (4*S[-1, 1, 1, 1, Infinity])/3, S[2, 2, {-1/2, -1/2}, Infinity] -> 
  S[2, Infinity]^2/8 + 4*S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 4*S[-1, 1, 1, 1, Infinity], 
 S[2, 2, {-1/2, 2}, Infinity] -> -S[-1, Infinity]^4/72 + 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + (149*S[2, Infinity]^2)/120 + 
   (7*S[-1, Infinity]*S[3, Infinity])/4 - 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 6*S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[-1, 1, 1, 1, Infinity])/3, S[2, 2, {-1/2, -2}, Infinity] -> 
  (-29*S[2, Infinity]^2)/40 - 3*S[4, {-1/2}, Infinity] + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2, S[1, 3, {-1, -1/2}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/24 + (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (31*S[2, Infinity]^2)/40 + (3*S[-1, Infinity]*S[3, Infinity])/4 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 6*S[4, {-1/2}, Infinity] + 
   2*S[-1, 1, 1, 1, Infinity], S[1, 3, {1/2, 1}, Infinity] -> 
  S[-1, Infinity]^4/24 - (S[-1, Infinity]^2*S[2, Infinity])/4 - 
   S[2, Infinity]^2/8 - (7*S[-1, Infinity]*S[3, Infinity])/8 - 
   S[-1, 1, 1, 1, Infinity], S[1, 3, {1/2, -1}, Infinity] -> 
  -S[-1, Infinity]^4/18 + (S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (49*S[2, Infinity]^2)/60 + (13*S[-1, Infinity]*S[3, Infinity])/8 + 
   4*S[4, {-1/2}, Infinity] - S[1, 3, {-1, 1/2}, Infinity] + 
   S[-1, 1, 1, 1, Infinity]/3, S[1, 3, {1/2, 1/2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/72 - (S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (19*S[2, Infinity]^2)/60 - (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   S[4, {-1/2}, Infinity] - (7*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 3, {1/2, 2}, Infinity] -> S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - S[2, Infinity]^2/20 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8 - S[-1, 1, 1, 1, Infinity], 
 S[1, 3, {1/2, -2}, Infinity] -> S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (27*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]*S[3, Infinity])/8 - 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 6*S[4, {-1/2}, Infinity] - 
   3*S[-1, 1, 1, 1, Infinity], S[1, 3, {-1/2, 1}, Infinity] -> 
  -S[2, Infinity]^2/8 + S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   S[4, {-1/2}, Infinity] + (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - S[1, 1, {1/2, 1/2}, Infinity]^2/2, S[1, 3, {-1/2, -1}, Infinity] -> 
  S[-1, Infinity]^4/18 - (7*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (17*S[2, Infinity]^2)/30 - (13*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 3*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 3, {-1, 1/2}, Infinity] - (4*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 3, {-1/2, -1/2}, Infinity] -> S[-1, Infinity]^4/36 - 
   (2*S[-1, Infinity]^2*S[2, Infinity])/3 - (7*S[2, Infinity]^2)/30 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   8*S[4, {-1/2}, Infinity] + S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] - 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 4*S[1, 3, {-1, 1/2}, Infinity] - 
   3*S[1, 3, {-1/2, -2}, Infinity] - (11*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 3, {-1/2, 2}, Infinity] -> (-3*S[2, Infinity]^2)/5 - 
   (3*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + S[4, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 3, {-1, 1/2}, Infinity], S[2, 1, 1, {1, 1, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/6 + (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (6*S[2, Infinity]^2)/5 + (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   3*S[-1, 1, 1, 1, Infinity], S[2, 1, 1, {1, 1, -1/2}, Infinity] -> 
  (-39*S[2, Infinity]^2)/40 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (9*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (3*S[4, {-1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[2, 1, 1, {1, -1, 1/2}, Infinity] -> (-7*S[-1, Infinity]^4)/72 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/12 - (253*S[2, Infinity]^2)/120 + 
   (21*S[-1, Infinity]*S[3, Infinity])/8 - 4*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 7*S[4, {-1/2}, Infinity] + 
   7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 3*S[1, 3, {-1, 1/2}, Infinity] + 
   4*S[1, 3, {-1/2, -2}, Infinity] - (2*S[-1, 1, 1, 1, Infinity])/3, 
 S[2, 1, 1, {1, -1, -1/2}, Infinity] -> -S[-1, Infinity]^4/6 + 
   S[-1, Infinity]^2*S[2, Infinity] + (3*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]*S[3, Infinity])/3 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 3*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {1, 1/2, 1}, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (3*S[2, Infinity]^2)/5 + S[-1, Infinity]*S[3, Infinity], 
 S[2, 1, 1, {1, 1/2, -1}, Infinity] -> (-7*S[-1, Infinity]^4)/72 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/12 - (37*S[2, Infinity]^2)/30 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 2*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 16*S[4, {-1/2}, Infinity] - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 4*S[1, 3, {-1, 1/2}, Infinity] - 
   2*S[1, 3, {-1/2, -2}, Infinity] + (10*S[-1, 1, 1, 1, Infinity])/3, 
 S[2, 1, 1, {1, 1/2, 1/2}, Infinity] -> S[-1, Infinity]^4/8 - 
   S[-1, Infinity]^2*S[2, Infinity] - (7*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]*S[3, Infinity])/4 - 4*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 4*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   19*S[4, {-1/2}, Infinity] + S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] + 5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 3*S[1, 3, {-1, 1/2}, Infinity] + 
   4*S[1, 3, {-1/2, -2}, Infinity] - 8*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {1, 1/2, -1/2}, Infinity] -> -S[-1, Infinity]^4/3 + 
   (S[-1, Infinity]^2*S[2, Infinity])/3 - S[2, Infinity]^2/8 + 
   (37*S[-1, Infinity]*S[3, Infinity])/36 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity] + S[1, 3, {1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[2, 2, {-1/2, 1/2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] + 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - S[1, 1, 2, {1/2, -1/2, 1}, 
    Infinity], S[2, 1, 1, {1, 1/2, 2}, Infinity] -> 
  S[-1, Infinity]^4/8 + (9*S[2, Infinity]^2)/40 - 3*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {1, 1/2, -2}, Infinity] -> S[-1, Infinity]^4/8 - 
   2*S[-1, Infinity]^2*S[2, Infinity] - (41*S[2, Infinity]^2)/20 - 
   (91*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 4*S[4, {-1/2}, Infinity] + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   7*S[-1, 1, 1, 1, Infinity], S[2, 1, 1, {1, -1/2, 1}, Infinity] -> 
  (-23*S[2, Infinity]^2)/10 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (107*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   2*S[4, {-1/2}, Infinity] + 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] + (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity], S[2, 1, 1, {1, -1/2, -1}, Infinity] -> 
  (11*S[-1, Infinity]^4)/36 - (2*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (7*S[2, Infinity]^2)/15 + (25*S[-1, Infinity]*S[3, Infinity])/18 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   14*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (10*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {1, -1/2, 1/2}, Infinity] -> 
  -S[2, Infinity]^2/8 + S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   S[4, {-1/2}, Infinity] + (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    2 + (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - S[2, 2, {-1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, 1}, Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, 
    Infinity] + 2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity], 
 S[2, 1, 1, {1, -1/2, -1/2}, Infinity] -> (59*S[-1, Infinity]^4)/108 - 
   (85*S[-1, Infinity]^2*S[2, Infinity])/36 + (2*S[2, Infinity]^2)/45 + 
   (289*S[-1, Infinity]*S[3, Infinity])/72 + 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (1925*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (19*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (26*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (55*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (289*S[4, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (43*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   (35*S[1, 3, {-1, 1/2}, Infinity])/3 + (21*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (124*S[-1, 1, 1, 1, Infinity])/9 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity], 
 S[2, 1, 1, {1, -1/2, 2}, Infinity] -> (-5*S[-1, Infinity]^4)/72 - 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (263*S[2, Infinity]^2)/120 - 
   (203*S[-1, Infinity]*S[3, Infinity])/36 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (39*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 2*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 9*S[4, {-1/2}, Infinity] + 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   3*S[1, 3, {-1, 1/2}, Infinity] - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (10*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {1, -1/2, -2}, Infinity] -> 
  -S[2, Infinity]^2/2 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (21*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   S[4, {-1/2}, Infinity]/2 + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   S[1, 3, {-1/2, -2}, Infinity]/2 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[2, 1, 1, {-1, 1, 1/2}, Infinity] -> S[-1, Infinity]^4/18 - 
   (S[-1, Infinity]^2*S[2, Infinity])/12 - (23*S[2, Infinity]^2)/120 + 
   S[4, {-1/2}, Infinity] - (4*S[-1, 1, 1, 1, Infinity])/3, 
 S[2, 1, 1, {-1, 1, -1/2}, Infinity] -> (29*S[-1, Infinity]^4)/216 + 
   (S[-1, Infinity]^2*S[2, Infinity])/36 + (41*S[2, Infinity]^2)/360 + 
   (7*S[-1, Infinity]*S[3, Infinity])/9 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + (13*S[4, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 + S[1, 3, {-1/2, -2}, Infinity] - 
   (5*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {-1, -1, 1/2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/18 - (11*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (13*S[2, Infinity]^2)/60 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 6*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (17*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1, -1, -1/2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/216 + (S[-1, Infinity]^2*S[2, Infinity])/18 + 
   (571*S[2, Infinity]^2)/360 - (7*S[-1, Infinity]*S[3, Infinity])/24 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (5*S[4, {-1/2}, Infinity])/3 - 2*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (4*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {-1, 1/2, 1}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/108 + (5*S[-1, Infinity]^2*S[2, Infinity])/18 + 
   (299*S[2, Infinity]^2)/360 + (49*S[-1, Infinity]*S[3, Infinity])/24 - 
   S[3, Infinity]*S[1, {-1/2}, Infinity] + (28*S[4, {-1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 + S[1, 3, {-1/2, -2}, Infinity] - 
   (11*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {-1, 1/2, -1}, Infinity] -> 
  (5*S[-1, Infinity]^4)/36 + (S[-1, Infinity]^2*S[2, Infinity])/6 + 
   S[2, Infinity]^2/12 + (17*S[-1, Infinity]*S[3, Infinity])/24 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 3*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1, 1/2, 1/2}, Infinity] -> 
  (-43*S[-1, Infinity]^4)/432 - (S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (71*S[2, Infinity]^2)/180 + (25*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (9*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (5*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (7*S[1, 3, {-1, 1/2}, Infinity])/6 + S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 + S[2, 2, {1/2, -1/2}, Infinity] + 
   (2*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + S[1, 1, 2, {1/2, -1, 1/2}, 
    Infinity], S[2, 1, 1, {-1, 1/2, -1/2}, Infinity] -> 
  (3*S[-1, Infinity]^4)/8 - (3*S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (3*S[2, Infinity]^2)/20 + (31*S[-1, Infinity]*S[3, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (215*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   5*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 3*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 35*S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   6*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 8*S[1, 3, {-1, 1/2}, Infinity] + 
   6*S[1, 3, {-1/2, -2}, Infinity] - 13*S[-1, 1, 1, 1, Infinity] + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity] - S[1, 1, 2, {1/2, -1/2, -1}, 
    Infinity], S[2, 1, 1, {-1, 1/2, 2}, Infinity] -> 
  (-19*S[-1, Infinity]^4)/72 + (4*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (19*S[2, Infinity]^2)/15 + (91*S[-1, Infinity]*S[3, Infinity])/24 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 3*S[4, {-1/2}, Infinity] + 
   (22*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1, 1/2, -2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/54 + (2*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (241*S[2, Infinity]^2)/360 - (7*S[-1, Infinity]*S[3, Infinity])/6 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (4*S[4, {-1/2}, Infinity])/3 - 4*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] + (4*S[1, 3, {-1, 1/2}, Infinity])/3 - 
   S[1, 3, {-1/2, -2}, Infinity] - (16*S[-1, 1, 1, 1, Infinity])/9, 
 S[2, 1, 1, {-1, -1/2, 1}, Infinity] -> -S[-1, Infinity]^4/27 - 
   (31*S[-1, Infinity]^2*S[2, Infinity])/36 + (259*S[2, Infinity]^2)/360 - 
   (131*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (5*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (8*S[4, {-1/2}, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 - S[1, 3, {-1/2, -2}, Infinity] - 
   (25*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {-1, -1/2, -1}, Infinity] -> 
  -S[-1, Infinity]^4/72 + (S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (22*S[2, Infinity]^2)/15 + (7*S[-1, Infinity]*S[3, Infinity])/4 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   9*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 2*S[1, 3, {-1, 1/2}, Infinity] - 
   (5*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1, -1/2, 1/2}, Infinity] -> 
  (11*S[-1, Infinity]^4)/36 - (7*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   S[2, Infinity]^2/15 - (15*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   3*S[3, Infinity]*S[1, {-1/2}, Infinity] - 6*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 26*S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 4*S[1, 3, {-1, 1/2}, Infinity] + 
   3*S[1, 3, {-1/2, -2}, Infinity] - (43*S[-1, 1, 1, 1, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, 
    Infinity], S[2, 1, 1, {-1, -1/2, -1/2}, Infinity] -> 
  (-55*S[-1, Infinity]^4)/216 + (7*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (61*S[2, Infinity]^2)/45 + (17*S[-1, Infinity]*S[3, Infinity])/4 - 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + (19*S[4, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - (10*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] - S[1, 3, {-1/2, 1/2}, Infinity] - 
   S[1, 3, {1/2, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {-1/2, 1/2}, Infinity] + 
   2*S[2, 2, {1/2, -1/2}, Infinity] + (16*S[-1, 1, 1, 1, Infinity])/9 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity], 
 S[2, 1, 1, {-1, -1/2, 2}, Infinity] -> (-5*S[-1, Infinity]^4)/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + (163*S[2, Infinity]^2)/120 + 
   (7*S[-1, Infinity]*S[3, Infinity])/4 - 3*S[-1, Infinity]*S[2, Infinity]*
    S[1, {-1/2}, Infinity] - (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   8*S[4, {-1/2}, Infinity] + 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] - 2*S[1, 3, {-1, 1/2}, Infinity] - S[-1, 1, 1, 1, Infinity]/3, 
 S[2, 1, 1, {-1, -1/2, -2}, Infinity] -> (13*S[-1, Infinity]^4)/108 + 
   (13*S[-1, Infinity]^2*S[2, Infinity])/9 + (461*S[2, Infinity]^2)/360 + 
   (91*S[-1, Infinity]*S[3, Infinity])/18 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (91*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 2*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + (22*S[4, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (25*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {1/2, 1, 1}, Infinity] -> 
  (19*S[2, Infinity]^2)/40 + (3*S[-1, Infinity]*S[3, Infinity])/4, 
 S[2, 1, 1, {1/2, 1, -1}, Infinity] -> (7*S[-1, Infinity]^4)/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (43*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8 - S[4, {-1/2}, Infinity] + 
   S[1, 3, {-1, 1/2}, Infinity] - 3*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {1/2, 1, 1/2}, Infinity] -> (19*S[2, Infinity]^2)/40 + 
   (3*S[-1, Infinity]*S[3, Infinity])/4 + S[1, 3, {-1, 1/2}, Infinity], 
 S[2, 1, 1, {1/2, 1, -1/2}, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/4 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 3, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1, 1/2}, Infinity], S[2, 1, 1, {1/2, 1, 2}, Infinity] -> 
  S[-1, Infinity]^4/12 - (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (11*S[2, Infinity]^2)/40 - 2*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {1/2, 1, -2}, Infinity] -> (49*S[-1, Infinity]^4)/216 + 
   (2*S[-1, Infinity]^2*S[2, Infinity])/9 - (737*S[2, Infinity]^2)/360 + 
   (77*S[-1, Infinity]*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (5*S[4, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 + 3*S[1, 3, {-1/2, -2}, Infinity] + 
   (8*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {1/2, -1, 1}, Infinity] -> 
  (-43*S[-1, Infinity]^4)/216 + (7*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (517*S[2, Infinity]^2)/360 - (77*S[-1, Infinity]*S[3, Infinity])/24 + 
   2*S[3, Infinity]*S[1, {-1/2}, Infinity] - (53*S[4, {-1/2}, Infinity])/3 - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (49*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {1/2, -1, -1}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/9 + (4*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   S[2, Infinity]^2/3 + (4*S[-1, Infinity]*S[3, Infinity])/3 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 12*S[4, {-1/2}, Infinity] + 
   (28*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {1/2, -1, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/12 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (4*S[-1, Infinity]*S[3, Infinity])/3 + 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
      Infinity])/2 + (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 3, {1/2, -1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity], 
 S[2, 1, 1, {1/2, -1, -1/2}, Infinity] -> (7*S[-1, Infinity]^4)/72 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/12 + (43*S[2, Infinity]^2)/120 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (47*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   6*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   12*S[4, {-1/2}, Infinity] + 2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] + S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 3*S[1, 3, {-1/2, -2}, Infinity] - 
   S[-1, 1, 1, 1, Infinity]/3 + S[1, 1, 2, {-1/2, -1, 1/2}, Infinity], 
 S[2, 1, 1, {1/2, -1, 2}, Infinity] -> (7*S[-1, Infinity]^4)/18 - 
   (11*S[-1, Infinity]^2*S[2, Infinity])/6 - (109*S[2, Infinity]^2)/60 - 
   (35*S[-1, Infinity]*S[3, Infinity])/6 - 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 15*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (49*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {1/2, -1, -2}, Infinity] -> 
  (-95*S[-1, Infinity]^4)/216 + (8*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (217*S[2, Infinity]^2)/360 + (77*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (143*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (17*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (35*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {1/2, 1/2, 1}, Infinity] -> 
  (13*S[-1, Infinity]^4)/54 - (25*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (77*S[2, Infinity]^2)/360 + S[-1, Infinity]*S[3, Infinity] - 
   3*S[3, Infinity]*S[1, {-1/2}, Infinity] - 3*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + (59*S[4, {-1/2}, Infinity])/3 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 + 3*S[1, 3, {-1/2, -2}, Infinity] - 
   (103*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {1/2, 1/2, -1}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/12 + S[-1, Infinity]^2*S[2, Infinity] + 
   S[2, Infinity]^2/4 + (7*S[-1, Infinity]*S[3, Infinity])/3 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] - S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[2, 2, {1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity], S[2, 1, 1, {1/2, 1/2, 1/2}, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity])/2 + (7*S[-1, Infinity]*S[3, Infinity])/
    6 + S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {1/2, 1/2, 1/2}, Infinity] + 
   S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] - S[1, 2, 1, {-1/2, 1/2, -1/2}, 
    Infinity] + S[2, 1, 1, {-1/2, -1/2, 1/2}, Infinity], 
 S[2, 1, 1, {1/2, 1/2, -1/2}, Infinity] -> (5*S[-1, Infinity]^4)/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity])/2 + 2*S[2, Infinity]^2 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   54*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   42*S[-1, 1, 1, 1, Infinity] - S[1, 1, 2, {1/2, -1/2, 1/2}, Infinity] - 
   S[1, 2, 1, {-1/2, 1/2, 1/2}, Infinity], 
 S[2, 1, 1, {1/2, 1/2, 2}, Infinity] -> (23*S[-1, Infinity]^4)/72 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/6 - (7*S[2, Infinity]^2)/30 - 
   (7*S[-1, Infinity]*S[3, Infinity])/3 - 3*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 9*S[4, {-1/2}, Infinity] - 
   (32*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {1/2, 1/2, -2}, Infinity] -> 
  (37*S[-1, Infinity]^4)/72 - (13*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (101*S[2, Infinity]^2)/120 - (35*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (20*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 5*S[1, 3, {-1, 1/2}, Infinity] - 
   3*S[1, 3, {-1/2, -2}, Infinity] - (31*S[-1, 1, 1, 1, Infinity])/3, 
 S[2, 1, 1, {1/2, -1/2, 1}, Infinity] -> -S[-1, Infinity]^4/6 + 
   (S[-1, Infinity]^2*S[2, Infinity])/6 - S[2, Infinity]^2/16 + 
   (37*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   S[4, {-1/2}, Infinity]/2 - (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    4 + (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, 
      Infinity])/2 + S[1, 1, {-1/2, 1/2}, Infinity]^2/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    2 + (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/4 + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[1, 3, {-1/2, 1/2}, Infinity] + S[1, 3, {1/2, -1/2}, Infinity]/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 + S[2, 2, {1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, 1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/2 - S[1, 2, 1, {-1/2, 1/2, 1}, 
    Infinity], S[2, 1, 1, {1/2, -1/2, -1}, Infinity] -> 
  (133*S[-1, Infinity]^4)/216 - (185*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (13*S[2, Infinity]^2)/36 - (119*S[-1, Infinity]*S[3, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (62*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 + (5*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] - (103*S[-1, 1, 1, 1, Infinity])/9 + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity], S[2, 1, 1, {1/2, -1/2, 1/2}, Infinity] -> 
  (53*S[-1, Infinity]^4)/36 - (17*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (413*S[2, Infinity]^2)/60 - (91*S[-1, Infinity]*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   6*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (177*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   9*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 18*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 16*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   32*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 2*S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] + 38*S[1, 3, {-1, 1/2}, Infinity] - 
   32*S[1, 3, {-1/2, -2}, Infinity] - S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - (172*S[-1, 1, 1, 1, Infinity])/3 - 
   S[1, 1, 2, {-1/2, 1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {1/2, 1/2, -1/2}, Infinity] - S[1, 2, 1, {-1/2, 1/2, 1/2}, 
    Infinity] - S[1, 2, 1, {1/2, -1/2, 1/2}, Infinity], 
 S[2, 1, 1, {1/2, -1/2, -1/2}, Infinity] -> (-5*S[-1, Infinity]^4)/12 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, -1/2}, 
    Infinity] - S[1, 2, 1, {-1/2, 1/2, -1/2}, Infinity] + 
   S[1, 2, 1, {1/2, -1/2, -1/2}, Infinity] + S[2, 1, 1, {-1/2, -1/2, 1/2}, 
    Infinity], S[2, 1, 1, {1/2, -1/2, 2}, Infinity] -> 
  (-35*S[-1, Infinity]^4)/108 - (S[-1, Infinity]^2*S[2, Infinity])/18 + 
   S[2, Infinity]^2/72 + (7*S[-1, Infinity]*S[3, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (10*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (5*S[4, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + S[1, {-1/2}, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] - (4*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] - 2*S[1, 3, {-1/2, 1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   2*S[2, 2, {-1/2, 1/2}, Infinity] + 3*S[2, 2, {1/2, -1/2}, Infinity] + 
   (31*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, 1/2, 2}, Infinity], 
 S[2, 1, 1, {1/2, -1/2, -2}, Infinity] -> (-7*S[-1, Infinity]^4)/24 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/6 - (7*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]*S[3, Infinity])/9 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[-1, 1, 1, 1, Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, Infinity], 
 S[2, 1, 1, {1/2, 2, 1}, Infinity] -> -S[-1, Infinity]^4/24 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/4 + (47*S[2, Infinity]^2)/40 + 
   S[-1, 1, 1, 1, Infinity], S[2, 1, 1, {1/2, 2, -1}, Infinity] -> 
  (-7*S[-1, Infinity]^4)/72 + (25*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (59*S[2, Infinity]^2)/60 + (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 18*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (37*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {1/2, 2, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (7*S[2, Infinity]^2)/5 + (5*S[-1, Infinity]*S[3, Infinity])/8 + 
   4*S[-1, 1, 1, 1, Infinity], S[2, 1, 1, {1/2, 2, -1/2}, Infinity] -> 
  (73*S[-1, Infinity]^4)/216 - (7*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (109*S[2, Infinity]^2)/180 - (35*S[-1, Infinity]*S[3, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (143*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (22*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + (10*S[1, 3, {-1, 1/2}, Infinity])/3 - 
   2*S[1, 3, {-1/2, -2}, Infinity] - (16*S[-1, 1, 1, 1, Infinity])/9, 
 S[2, 1, 1, {1/2, -2, 1}, Infinity] -> (-43*S[-1, Infinity]^4)/216 + 
   (13*S[-1, Infinity]^2*S[2, Infinity])/36 - (589*S[2, Infinity]^2)/360 - 
   (28*S[-1, Infinity]*S[3, Infinity])/9 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (143*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (10*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (53*S[4, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 - 3*S[1, 3, {-1/2, -2}, Infinity] + 
   (31*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {1/2, -2, -1}, Infinity] -> 
  -S[-1, Infinity]^4/8 - (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/40 - (7*S[-1, Infinity]*S[3, Infinity])/4 + 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 2*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 3, {-1, 1/2}, Infinity] - S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {1/2, -2, 1/2}, Infinity] -> (-31*S[-1, Infinity]^4)/72 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/6 - (247*S[2, Infinity]^2)/120 + 
   (35*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (63*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + S[4, {-1/2}, Infinity] + 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   5*S[1, 3, {-1, 1/2}, Infinity] + 6*S[1, 3, {-1/2, -2}, Infinity] + 
   (25*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {1/2, -2, -1/2}, Infinity] -> 
  (115*S[-1, Infinity]^4)/216 - (23*S[-1, Infinity]^2*S[2, Infinity])/18 + 
   (121*S[2, Infinity]^2)/360 - (263*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (91*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   (5*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (13*S[4, {-1/2}, Infinity])/3 - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (13*S[-1, 1, 1, 1, Infinity])/9, S[2, 1, 1, {-1/2, 1, 1}, Infinity] -> 
  (7*S[2, Infinity]^2)/10 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (109*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (3*S[4, {-1/2}, Infinity])/2 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1/2, -2}, Infinity]/2 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    4, S[2, 1, 1, {-1/2, 1, -1}, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity])/3 + (3*S[2, Infinity]^2)/20 + 
   (13*S[-1, Infinity]*S[3, Infinity])/36 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 3*S[4, {-1/2}, Infinity] - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   3*S[-1, 1, 1, 1, Infinity], S[2, 1, 1, {-1/2, 1, 1/2}, Infinity] -> 
  (3*S[-1, Infinity]^4)/16 - (7*S[-1, Infinity]^2*S[2, Infinity])/8 - 
   (13*S[2, Infinity]^2)/40 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (39*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   5*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[1, 3, {-1, 1/2}, Infinity])/2 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 + S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - S[2, 2, {1/2, -1/2}, Infinity]/2 - 
   2*S[-1, 1, 1, 1, Infinity] - S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + S[1, 1, 2, {-1/2, 1, 1/2}, 
    Infinity], S[2, 1, 1, {-1/2, 1, -1/2}, Infinity] -> 
  (25*S[-1, Infinity]^4)/54 - (31*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (331*S[2, Infinity]^2)/360 + (217*S[-1, Infinity]*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (73*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (89*S[4, {-1/2}, Infinity])/3 - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (23*S[1, 3, {-1, 1/2}, Infinity])/3 + 6*S[1, 3, {-1/2, -2}, Infinity] - 
   (61*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity], 
 S[2, 1, 1, {-1/2, 1, 2}, Infinity] -> (-19*S[-1, Infinity]^4)/72 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + (19*S[2, Infinity]^2)/24 + 
   (91*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (10*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1/2, 1, -2}, Infinity] -> 
  (-9*S[2, Infinity]^2)/40 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2, 
 S[2, 1, 1, {-1/2, -1, 1}, Infinity] -> (13*S[-1, Infinity]^4)/36 - 
   (17*S[-1, Infinity]^2*S[2, Infinity])/12 + (4*S[2, Infinity]^2)/15 - 
   (15*S[-1, Infinity]*S[3, Infinity])/8 - 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 9*S[4, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (23*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1/2, -1, -1}, Infinity] -> 
  (7*S[-1, Infinity]^4)/24 + (7*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 2*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 22*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 4*S[1, 3, {-1, 1/2}, Infinity] + 
   2*S[1, 3, {-1/2, -2}, Infinity] - 8*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {-1/2, -1, 1/2}, Infinity] -> -S[-1, Infinity]^4/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity])/2 - S[2, Infinity]^2/2 + 
   (3*S[-1, Infinity]*S[3, Infinity])/4 - 6*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 6*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   26*S[4, {-1/2}, Infinity] + 2*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] + 5*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] - S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   7*S[1, 3, {-1, 1/2}, Infinity] + 6*S[1, 3, {-1/2, -2}, Infinity] - 
   8*S[-1, 1, 1, 1, Infinity], S[2, 1, 1, {-1/2, -1, -1/2}, Infinity] -> 
  (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (11*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - S[1, 3, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {-1/2, 1/2}, Infinity] + S[1, 1, 2, {-1/2, -1, -1/2}, Infinity], 
 S[2, 1, 1, {-1/2, -1, 2}, Infinity] -> (5*S[-1, Infinity]^4)/72 - 
   (2*S[-1, Infinity]^2*S[2, Infinity])/3 + (23*S[2, Infinity]^2)/30 + 
   3*S[4, {-1/2}, Infinity] + S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (5*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1/2, -1, -2}, Infinity] -> 
  S[-1, Infinity]^4/18 + (7*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (41*S[2, Infinity]^2)/24 - (7*S[-1, Infinity]*S[3, Infinity])/24 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (91*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 6*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 25*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 7*S[1, 3, {-1, 1/2}, Infinity] - 
   6*S[1, 3, {-1/2, -2}, Infinity] + (29*S[-1, 1, 1, 1, Infinity])/3, 
 S[2, 1, 1, {-1/2, 1/2, 1}, Infinity] -> (-3*S[-1, Infinity]^4)/16 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (41*S[2, Infinity]^2)/80 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (39*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + (11*S[4, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    2 + S[1, 1, {-1/2, 1/2}, Infinity]^2/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    2 + (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (5*S[1, 3, {-1, 1/2}, Infinity])/2 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 - 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[2, 2, {-1/2, 1/2}, Infinity])/2 + (3*S[2, 2, {1/2, -1/2}, Infinity])/
    2 + 2*S[-1, 1, 1, 1, Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/
    2 - S[1, 1, 2, {-1/2, 1/2, 1}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/2 - S[1, 2, 1, {1/2, -1/2, 1}, 
    Infinity], S[2, 1, 1, {-1/2, 1/2, -1}, Infinity] -> 
  (20*S[-1, Infinity]^4)/27 - (185*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (13*S[2, Infinity]^2)/36 - (119*S[-1, Infinity]*S[3, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (62*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 + (5*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] - (103*S[-1, 1, 1, 1, Infinity])/9 + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] + (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity], S[2, 1, 1, {-1/2, 1/2, 1/2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/8 - S[-1, Infinity]^2*S[2, Infinity] + 
   2*S[2, Infinity]^2 + 54*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] - S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 42*S[-1, 1, 1, 1, Infinity] - 
   S[1, 1, 2, {1/2, 1/2, -1/2}, Infinity] - S[1, 2, 1, {1/2, -1/2, 1/2}, 
    Infinity], S[2, 1, 1, {-1/2, 1/2, -1/2}, Infinity] -> 
  (-2*S[-1, Infinity]^4)/3 + 2*S[-1, Infinity]^2*S[2, Infinity] + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1/2}, Infinity] - S[1, 1, 2, {1/2, -1/2, -1/2}, 
    Infinity] - S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] + 
   S[1, 2, 1, {1/2, -1/2, -1/2}, Infinity] + S[2, 1, 1, {-1/2, -1/2, 1/2}, 
    Infinity], S[2, 1, 1, {-1/2, 1/2, 2}, Infinity] -> 
  (-3*S[-1, Infinity]^4)/8 + (3*S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (27*S[2, Infinity]^2)/10 + 7*S[-1, Infinity]*S[3, Infinity] + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (23*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 14*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - 5*S[1, 3, {-1, 1/2}, Infinity] + 
   2*S[1, 3, {-1/2, -2}, Infinity] - 2*S[1, 3, {1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   3*S[2, 2, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {1/2, -1/2}, Infinity] + 
   4*S[-1, 1, 1, 1, Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, Infinity], 
 S[2, 1, 1, {-1/2, 1/2, -2}, Infinity] -> -S[-1, Infinity]^4/8 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (21*S[2, Infinity]^2)/40 - 
   (35*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 6*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + S[1, 3, {-1, 1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity], 
 S[2, 1, 1, {-1/2, -1/2, 1}, Infinity] -> (85*S[-1, Infinity]^4)/216 - 
   (4*S[-1, Infinity]^2*S[2, Infinity])/9 - (13*S[2, Infinity]^2)/180 + 
   (205*S[-1, Infinity]*S[3, Infinity])/72 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (365*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (175*S[4, {-1/2}, Infinity])/6 - 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (19*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   (20*S[1, 3, {-1, 1/2}, Infinity])/3 + (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (100*S[-1, 1, 1, 1, Infinity])/9 + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[2, 1, 1, {-1/2, -1/2, -1}, Infinity] -> (-2*S[-1, Infinity]^4)/3 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/4 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
      Infinity])/2 - (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity], 
 S[2, 1, 1, {-1/2, -1/2, -1/2}, Infinity] -> (-2*S[-1, Infinity]^4)/9 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/12 - (173*S[2, Infinity]^2)/60 + 
   (91*S[-1, Infinity]*S[3, Infinity])/4 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (163*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   9*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 14*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 124*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (63*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   38*S[1, 3, {-1, 1/2}, Infinity] + 32*S[1, 3, {-1/2, -2}, Infinity] - 
   (80*S[-1, 1, 1, 1, Infinity])/3 + S[1, 1, 2, {-1/2, -1/2, -1/2}, 
    Infinity], S[2, 1, 1, {-1/2, -1/2, 2}, Infinity] -> 
  (61*S[-1, Infinity]^4)/72 - (7*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (11*S[2, Infinity]^2)/24 - (7*S[-1, Infinity]*S[3, Infinity])/12 + 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 13*S[4, {-1/2}, Infinity] - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - S[1, 3, {-1, 1/2}, Infinity] - 
   (28*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1/2, -1/2, -2}, Infinity] -> 
  -S[-1, Infinity]^4/36 + (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (17*S[2, Infinity]^2)/15 + (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (181*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   20*S[4, {-1/2}, Infinity] - S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] + (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (19*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[2, 1, 1, {-1/2, 2, 1}, Infinity] -> (23*S[-1, Infinity]^4)/72 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/3 - (23*S[2, Infinity]^2)/60 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 9*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (26*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1/2, 2, -1}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/24 - (21*S[2, Infinity]^2)/40 - 
   9*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 8*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {-1/2, 2, 1/2}, Infinity] -> (5*S[-1, Infinity]^4)/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (11*S[2, Infinity]^2)/40 - 
   (35*S[-1, Infinity]*S[3, Infinity])/8 + 4*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 11*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 5*S[1, 3, {-1, 1/2}, Infinity] - 
   4*S[1, 3, {-1/2, -2}, Infinity] - 3*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {-1/2, 2, -1/2}, Infinity] -> (-3*S[-1, Infinity]^4)/4 + 
   3*S[-1, Infinity]^2*S[2, Infinity] - (27*S[2, Infinity]^2)/40 + 
   (109*S[-1, Infinity]*S[3, Infinity])/12 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (91*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 6*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 7*S[4, {-1/2}, Infinity] + 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 7*S[1, 3, {-1, 1/2}, Infinity] + 
   6*S[1, 3, {-1/2, -2}, Infinity] + 9*S[-1, 1, 1, 1, Infinity], 
 S[2, 1, 1, {-1/2, -2, 1}, Infinity] -> (27*S[2, Infinity]^2)/20 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (11*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (3*S[4, {-1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[2, 1, 1, {-1/2, -2, -1}, Infinity] -> (7*S[-1, Infinity]^4)/24 - 
   (2*S[-1, Infinity]^2*S[2, Infinity])/3 + (61*S[2, Infinity]^2)/40 + 
   (91*S[-1, Infinity]*S[3, Infinity])/36 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (39*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (10*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   21*S[4, {-1/2}, Infinity] - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   3*S[1, 3, {-1, 1/2}, Infinity] + 2*S[1, 3, {-1/2, -2}, Infinity] - 
   8*S[-1, 1, 1, 1, Infinity], S[2, 1, 1, {-1/2, -2, 1/2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/36 - (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   S[2, Infinity]^2/6 - (263*S[-1, Infinity]*S[3, Infinity])/72 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 8*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (8*S[-1, 1, 1, 1, Infinity])/3, S[2, 1, 1, {-1/2, -2, -1/2}, Infinity] -> 
  (23*S[2, Infinity]^2)/10 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (179*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   2*S[4, {-1/2}, Infinity] - 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] - (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   2*S[1, 3, {-1/2, -2}, Infinity] + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 2, 1, {-1, 1, 1/2}, Infinity] -> S[-1, Infinity]^4/12 + 
   S[2, Infinity]^2/10 + (S[-1, Infinity]*S[3, Infinity])/4 + 
   4*S[4, {-1/2}, Infinity] - 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 2, 1, {-1, 1, -1/2}, Infinity] -> (-41*S[-1, Infinity]^4)/72 + 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + (163*S[2, Infinity]^2)/120 - 
   (59*S[-1, Infinity]*S[3, Infinity])/72 - S[-1, Infinity]^3*
    S[1, {-1/2}, Infinity] + (S[-1, Infinity]*S[2, Infinity]*
     S[1, {-1/2}, Infinity])/2 + (39*S[3, Infinity]*S[1, {-1/2}, Infinity])/
    8 + (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   7*S[4, {-1/2}, Infinity] + (13*S[-1, Infinity]^2*
     S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   3*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (2*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1, -1, 1/2}, Infinity] -> 
  (-13*S[-1, Infinity]^4)/36 + (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (17*S[2, Infinity]^2)/60 + (41*S[-1, Infinity]*S[3, Infinity])/24 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 6*S[4, {-1/2}, Infinity] + 
   (17*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1, -1, -1/2}, Infinity] -> 
  (-7*S[-1, Infinity]^4)/216 + (4*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (571*S[2, Infinity]^2)/360 + (5*S[-1, Infinity]*S[3, Infinity])/6 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (41*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 3*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - (5*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - S[1, 3, {-1, 1/2}, Infinity]/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] + (4*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 2, 1, {-1, 1/2, 1}, Infinity] -> (-17*S[-1, Infinity]^4)/216 + 
   (17*S[-1, Infinity]^2*S[2, Infinity])/36 + (7*S[2, Infinity]^2)/360 + 
   (10*S[-1, Infinity]*S[3, Infinity])/3 - 3*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + (32*S[4, {-1/2}, Infinity])/3 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 + 3*S[1, 3, {-1/2, -2}, Infinity] - 
   (7*S[-1, 1, 1, 1, Infinity])/9, S[1, 2, 1, {-1, 1/2, -1}, Infinity] -> 
  (37*S[-1, Infinity]^4)/36 - (11*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (22*S[2, Infinity]^2)/15 - 5*S[-1, Infinity]*S[3, Infinity] - 
   7*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 30*S[4, {-1/2}, Infinity] - 
   (68*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1, 1/2, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (4*S[-1, Infinity]*S[3, Infinity])/3 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] + S[2, 2, {-1/2, 1/2}, Infinity] - 
   S[2, 2, {1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, 1/2, 1/2}, Infinity] + S[1, 1, 2, {-1/2, -1, -1/2}, 
    Infinity] - S[1, 1, 2, {1/2, -1, 1/2}, Infinity] + 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity], 
 S[1, 2, 1, {-1, 1/2, -1/2}, Infinity] -> (-133*S[-1, Infinity]^4)/216 + 
   (149*S[-1, Infinity]^2*S[2, Infinity])/72 - (13*S[2, Infinity]^2)/36 + 
   (119*S[-1, Infinity]*S[3, Infinity])/48 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (47*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (38*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 - (5*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {1/2, -1/2}, Infinity]/2 + S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] + (31*S[-1, 1, 1, 1, Infinity])/9 - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   (3*S[1, 1, 2, {-1/2, -1, 1/2}, Infinity])/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity], S[1, 2, 1, {-1, 1/2, 2}, Infinity] -> 
  (-23*S[-1, Infinity]^4)/72 + (7*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (7*S[2, Infinity]^2)/30 + (7*S[-1, Infinity]*S[3, Infinity])/3 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 9*S[4, {-1/2}, Infinity] + 
   (32*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1, 1/2, -2}, Infinity] -> 
  (-13*S[-1, Infinity]^4)/216 + (11*S[-1, Infinity]^2*S[2, Infinity])/18 + 
   (881*S[2, Infinity]^2)/360 + (7*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 3*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + S[4, {-1/2}, Infinity]/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[1, 3, {-1, 1/2}, Infinity])/3 - 3*S[1, 3, {-1/2, -2}, Infinity] + 
   S[-1, 1, 1, 1, Infinity]/9, S[1, 2, 1, {-1, -1/2, 1}, Infinity] -> 
  (-7*S[-1, Infinity]^4)/12 + (25*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (23*S[2, Infinity]^2)/40 + (263*S[-1, Infinity]*S[3, Infinity])/72 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 9*S[4, {-1/2}, Infinity] + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   5*S[-1, 1, 1, 1, Infinity], S[1, 2, 1, {-1, -1/2, -1}, Infinity] -> 
  (-7*S[-1, Infinity]^4)/12 + (3*S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (7*S[2, Infinity]^2)/8 - (27*S[-1, Infinity]*S[3, Infinity])/8 + 
   6*S[3, Infinity]*S[1, {-1/2}, Infinity] + 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 40*S[4, {-1/2}, Infinity] - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 7*S[1, 3, {-1, 1/2}, Infinity] - 
   6*S[1, 3, {-1/2, -2}, Infinity] + 16*S[-1, 1, 1, 1, Infinity], 
 S[1, 2, 1, {-1, -1/2, 1/2}, Infinity] -> (-59*S[-1, Infinity]^4)/108 + 
   (281*S[-1, Infinity]^2*S[2, Infinity])/72 + (209*S[2, Infinity]^2)/360 + 
   (83*S[-1, Infinity]*S[3, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (53*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (23*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (107*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (33*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (32*S[1, 3, {-1, 1/2}, Infinity])/3 - (17*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {1/2, -1/2}, Infinity]/2 + S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] + (88*S[-1, 1, 1, 1, Infinity])/9 - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] - (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity], S[1, 2, 1, {-1, -1/2, 2}, Infinity] -> 
  (31*S[-1, Infinity]^4)/72 - (5*S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (67*S[2, Infinity]^2)/60 - (21*S[-1, Infinity]*S[3, Infinity])/8 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 3*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (28*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1, -1/2, -2}, Infinity] -> 
  (-7*S[-1, Infinity]^4)/36 - (S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (311*S[2, Infinity]^2)/120 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/
    3 - (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (39*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 10*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 3*S[1, 3, {-1, 1/2}, Infinity] + 
   4*S[1, 3, {-1/2, -2}, Infinity] - (19*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 2, 1, {1/2, 1, 1}, Infinity] -> S[-1, Infinity]^4/6 - 
   S[-1, Infinity]^2*S[2, Infinity] - (51*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 4*S[-1, 1, 1, 1, Infinity], 
 S[1, 2, 1, {1/2, 1, -1}, Infinity] -> S[-1, Infinity]^4/36 - 
   (S[-1, Infinity]^2*S[2, Infinity])/6 + (11*S[2, Infinity]^2)/12 + 
   (3*S[-1, Infinity]*S[3, Infinity])/2 + 8*S[4, {-1/2}, Infinity] - 
   2*S[1, 3, {-1, 1/2}, Infinity] - (8*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 2, 1, {1/2, 1, 1/2}, Infinity] -> (11*S[-1, Infinity]^4)/72 - 
   (2*S[-1, Infinity]^2*S[2, Infinity])/3 + S[2, Infinity]^2/15 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4 + 9*S[4, {-1/2}, Infinity] - 
   2*S[1, 3, {-1, 1/2}, Infinity] - (17*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 2, 1, {1/2, 1, -1/2}, Infinity] -> S[-1, Infinity]^4/3 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/12 + (3*S[2, Infinity]^2)/8 - 
   (37*S[-1, Infinity]*S[3, Infinity])/36 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - S[4, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   2*S[2, 2, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity], 
 S[1, 2, 1, {1/2, 1, 2}, Infinity] -> S[-1, Infinity]^4/6 - 
   S[-1, Infinity]^2*S[2, Infinity] - (19*S[2, Infinity]^2)/20 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 4*S[-1, 1, 1, 1, Infinity], 
 S[1, 2, 1, {1/2, 1, -2}, Infinity] -> (-31*S[-1, Infinity]^4)/72 - 
   (3*S[-1, Infinity]^2*S[2, Infinity])/2 + (107*S[2, Infinity]^2)/120 - 
   (203*S[-1, Infinity]*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   8*S[4, {-1/2}, Infinity] + (11*S[-1, Infinity]^2*
     S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   5*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (8*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {1/2, -1, 1}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/216 + (5*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (71*S[2, Infinity]^2)/360 + (S[-1, Infinity]*S[3, Infinity])/3 - 
   (4*S[4, {-1/2}, Infinity])/3 + S[1, 3, {-1, 1/2}, Infinity]/3 + 
   (8*S[-1, 1, 1, 1, Infinity])/9, S[1, 2, 1, {1/2, -1, -1}, Infinity] -> 
  -S[-1, Infinity]^4/9 + (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (14*S[2, Infinity]^2)/15 + (7*S[-1, Infinity]*S[3, Infinity])/6 + 
   (8*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {1/2, -1, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/18 + (S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (49*S[2, Infinity]^2)/60 + (13*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 3*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[1, 3, {-1, 1/2}, Infinity] + S[1, 3, {-1/2, 1/2}, Infinity] - 
   S[1, 3, {1/2, -1/2}, Infinity] - S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity] + (4*S[-1, 1, 1, 1, Infinity])/3 - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, 
    Infinity] - S[1, 1, 2, {1/2, -1, 1/2}, Infinity], 
 S[1, 2, 1, {1/2, -1, -1/2}, Infinity] -> (-11*S[-1, Infinity]^4)/36 + 
   (11*S[-1, Infinity]^2*S[2, Infinity])/6 + S[2, Infinity]^2/15 + 
   (4*S[-1, Infinity]*S[3, Infinity])/3 + 
   (59*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   5*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 18*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 4*S[1, 3, {-1, 1/2}, Infinity] - 
   3*S[1, 3, {-1/2, -2}, Infinity] + (19*S[-1, 1, 1, 1, Infinity])/3 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity], 
 S[1, 2, 1, {1/2, -1, 2}, Infinity] -> -S[-1, Infinity]^4/18 + 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + S[2, Infinity]^2/15 + 
   (7*S[-1, Infinity]*S[3, Infinity])/6 + (4*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 2, 1, {1/2, -1, -2}, Infinity] -> (-19*S[-1, Infinity]^4)/216 + 
   (23*S[-1, Infinity]^2*S[2, Infinity])/18 + (407*S[2, Infinity]^2)/360 + 
   (35*S[-1, Infinity]*S[3, Infinity])/24 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (4*S[4, {-1/2}, Infinity])/3 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 3, {-1, 1/2}, Infinity]/3 + (16*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 2, 1, {1/2, 1/2, 1}, Infinity] -> (47*S[-1, Infinity]^4)/216 - 
   (19*S[-1, Infinity]^2*S[2, Infinity])/18 - (157*S[2, Infinity]^2)/360 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4 - S[3, Infinity]*
    S[1, {-1/2}, Infinity] - S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (37*S[4, {-1/2}, Infinity])/3 + S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] - (7*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   S[1, 3, {-1/2, -2}, Infinity] - (77*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 2, 1, {1/2, 1/2, -1}, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity])/2 + (7*S[-1, Infinity]*S[3, Infinity])/
    6 + S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   S[1, 3, {1/2, -1/2}, Infinity] + S[2, 2, {-1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1, 1/2, 1/2}, Infinity] - S[1, 1, 2, {1/2, -1, 1/2}, 
    Infinity], S[1, 2, 1, {1/2, 1/2, 1/2}, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity])/2 - (7*S[-1, Infinity]*S[3, Infinity])/
    6 - S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {1/2, 1/2, 1/2}, Infinity] - S[1, 2, 1, {-1/2, -1/2, 1/2}, 
    Infinity] + S[1, 2, 1, {-1/2, 1/2, -1/2}, Infinity] + 
   S[1, 2, 1, {1/2, -1/2, -1/2}, Infinity], 
 S[1, 2, 1, {1/2, 1/2, -1/2}, Infinity] -> (-61*S[-1, Infinity]^4)/72 + 
   (11*S[-1, Infinity]^2*S[2, Infinity])/6 - (293*S[2, Infinity]^2)/60 + 
   (91*S[-1, Infinity]*S[3, Infinity])/4 + 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (517*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   9*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 17*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 70*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   32*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] - 38*S[1, 3, {-1, 1/2}, Infinity] + 
   32*S[1, 3, {-1/2, -2}, Infinity] + (46*S[-1, 1, 1, 1, Infinity])/3 + 
   2*S[1, 1, 2, {1/2, 1/2, -1/2}, Infinity] + S[1, 2, 1, {-1/2, 1/2, 1/2}, 
    Infinity] + S[1, 2, 1, {1/2, -1/2, 1/2}, Infinity], 
 S[1, 2, 1, {1/2, 1/2, 2}, Infinity] -> (19*S[-1, Infinity]^4)/72 - 
   (4*S[-1, Infinity]^2*S[2, Infinity])/3 - (19*S[2, Infinity]^2)/15 - 
   (91*S[-1, Infinity]*S[3, Infinity])/24 - S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 3*S[4, {-1/2}, Infinity] - 
   (22*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {1/2, 1/2, -2}, Infinity] -> 
  (31*S[-1, Infinity]^4)/72 - (11*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (71*S[2, Infinity]^2)/60 - (49*S[-1, Infinity]*S[3, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (113*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 5*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 2*S[1, 3, {-1, 1/2}, Infinity] - 
   3*S[1, 3, {-1/2, -2}, Infinity] - (25*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 2, 1, {1/2, -1/2, -1}, Infinity] -> -S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + (3*S[2, Infinity]^2)/4 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 6*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   18*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] + 7*S[1, 3, {-1, 1/2}, Infinity] - 
   6*S[1, 3, {-1/2, -2}, Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity], 
 S[1, 2, 1, {1/2, -1/2, 2}, Infinity] -> 
  -(S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity] + 3*S[1, 3, {1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   2*S[2, 2, {-1/2, 1/2}, Infinity] - S[-1, 1, 1, 1, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity], 
 S[1, 2, 1, {1/2, -1/2, -2}, Infinity] -> -S[-1, Infinity]^4/3 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (13*S[2, Infinity]^2)/20 + 
   (49*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (11*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 11*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] - 5*S[1, 3, {-1, 1/2}, Infinity] + 
   4*S[1, 3, {-1/2, -2}, Infinity] + S[1, 3, {-1/2, 1/2}, Infinity] - 
   S[1, 3, {1/2, -1/2}, Infinity] - S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity] + 3*S[-1, 1, 1, 1, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity], 
 S[1, 2, 1, {1/2, 2, 1}, Infinity] -> S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (17*S[2, Infinity]^2)/40 - 
   (21*S[-1, Infinity]*S[3, Infinity])/8 - S[-1, 1, 1, 1, Infinity], 
 S[1, 2, 1, {1/2, 2, -1}, Infinity] -> (19*S[-1, Infinity]^4)/72 - 
   (23*S[-1, Infinity]^2*S[2, Infinity])/6 + (89*S[2, Infinity]^2)/60 - 
   (49*S[-1, Infinity]*S[3, Infinity])/24 - 6*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 18*S[4, {-1/2}, Infinity] - 
   (37*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {1/2, 2, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/6 + (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (7*S[2, Infinity]^2)/5 - (21*S[-1, Infinity]*S[3, Infinity])/8 - 
   4*S[-1, 1, 1, 1, Infinity], S[1, 2, 1, {1/2, 2, -1/2}, Infinity] -> 
  (-55*S[-1, Infinity]^4)/216 + (23*S[-1, Infinity]^2*S[2, Infinity])/18 + 
   (109*S[2, Infinity]^2)/180 + (17*S[-1, Infinity]*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + (22*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - (10*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] + (16*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 2, 1, {1/2, -2, 1}, Infinity] -> S[-1, Infinity]^4/24 - 
   (8*S[-1, Infinity]^2*S[2, Infinity])/3 - (9*S[2, Infinity]^2)/40 - 
   (259*S[-1, Infinity]*S[3, Infinity])/72 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 9*S[4, {-1/2}, Infinity] + 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   8*S[-1, 1, 1, 1, Infinity], S[1, 2, 1, {1/2, -2, -1}, Infinity] -> 
  (-11*S[-1, Infinity]^4)/72 + (19*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (23*S[2, Infinity]^2)/60 + (21*S[-1, Infinity]*S[3, Infinity])/8 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 9*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (26*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {1/2, -2, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/2 - 3*S[-1, Infinity]^2*S[2, Infinity] + 
   (27*S[2, Infinity]^2)/40 - (71*S[-1, Infinity]*S[3, Infinity])/8 + 
   6*S[3, Infinity]*S[1, {-1/2}, Infinity] - 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 7*S[4, {-1/2}, Infinity] - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 7*S[1, 3, {-1, 1/2}, Infinity] - 
   6*S[1, 3, {-1/2, -2}, Infinity] - 9*S[-1, 1, 1, 1, Infinity], 
 S[1, 2, 1, {1/2, -2, -1/2}, Infinity] -> (-3*S[-1, Infinity]^4)/8 + 
   2*S[-1, Infinity]^2*S[2, Infinity] + (11*S[2, Infinity]^2)/40 + 
   7*S[-1, Infinity]*S[3, Infinity] + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 11*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 5*S[1, 3, {-1, 1/2}, Infinity] + 
   4*S[1, 3, {-1/2, -2}, Infinity] + 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 2, 1, {-1/2, 1, 1}, Infinity] -> -S[2, Infinity]^2/20 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (3*S[4, {-1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1/2, -2}, Infinity]/2 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 2, 1, {-1/2, 1, -1}, Infinity] -> S[-1, Infinity]^4/36 - 
   (4*S[-1, Infinity]^2*S[2, Infinity])/3 + (47*S[2, Infinity]^2)/30 - 
   (38*S[-1, Infinity]*S[3, Infinity])/9 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (27*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   4*S[4, {-1/2}, Infinity] + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (8*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1/2, 1, 1/2}, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity])/4 + (3*S[2, Infinity]^2)/8 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - S[4, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + S[1, 3, {-1/2, 1/2}, Infinity] - 
   S[1, 3, {1/2, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity], 
 S[1, 2, 1, {-1/2, 1, -1/2}, Infinity] -> (-103*S[-1, Infinity]^4)/108 + 
   (43*S[-1, Infinity]^2*S[2, Infinity])/18 - (41*S[2, Infinity]^2)/90 - 
   (91*S[-1, Infinity]*S[3, Infinity])/36 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (955*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (28*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (41*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (121*S[4, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (17*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (34*S[1, 3, {-1, 1/2}, Infinity])/3 - 10*S[1, 3, {-1/2, -2}, Infinity] + 
   (65*S[-1, 1, 1, 1, Infinity])/9 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 - 
   2*S[1, 1, 2, {-1/2, -1, 1/2}, Infinity], 
 S[1, 2, 1, {-1/2, 1, 2}, Infinity] -> (2*S[-1, Infinity]^4)/9 + 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + (13*S[2, Infinity]^2)/120 + 
   (133*S[-1, Infinity]*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (37*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   14*S[4, {-1/2}, Infinity] - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   5*S[1, 3, {-1, 1/2}, Infinity] + 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (4*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1/2, 1, -2}, Infinity] -> 
  (59*S[2, Infinity]^2)/20 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (10*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   6*S[4, {-1/2}, Infinity] - 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] - (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   2*S[1, 3, {-1/2, -2}, Infinity], S[1, 2, 1, {-1/2, -1, 1}, Infinity] -> 
  S[-1, Infinity]^4/24 - (13*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]*S[3, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   S[3, Infinity]*S[1, {-1/2}, Infinity] - 4*S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 3, {-1, 1/2}, Infinity], S[1, 2, 1, {-1/2, -1, -1}, Infinity] -> 
  (-43*S[-1, Infinity]^4)/216 + (4*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (77*S[2, Infinity]^2)/45 + (7*S[-1, Infinity]*S[3, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (10*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (2*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - (4*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] + (4*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 2, 1, {-1/2, -1, 1/2}, Infinity] -> (-5*S[-1, Infinity]^4)/24 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/2 + (3*S[2, Infinity]^2)/20 - 
   (13*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (19*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   6*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 27*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   6*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 8*S[1, 3, {-1, 1/2}, Infinity] - 
   6*S[1, 3, {-1/2, -2}, Infinity] + 5*S[-1, 1, 1, 1, Infinity] - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity], 
 S[1, 2, 1, {-1/2, -1, -1/2}, Infinity] -> (55*S[-1, Infinity]^4)/216 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/9 - (199*S[2, Infinity]^2)/180 - 
   (17*S[-1, Infinity]*S[3, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - (19*S[4, {-1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + (10*S[1, 3, {-1, 1/2}, Infinity])/3 - 
   2*S[1, 3, {-1/2, -2}, Infinity] + S[1, 3, {-1/2, 1/2}, Infinity] + 
   S[1, 3, {1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - S[2, 2, {-1/2, 1/2}, Infinity] - 
   S[2, 2, {1/2, -1/2}, Infinity] - (16*S[-1, 1, 1, 1, Infinity])/9 - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, 
    Infinity] - S[1, 1, 2, {1/2, -1, 1/2}, Infinity], 
 S[1, 2, 1, {-1/2, -1, 2}, Infinity] -> (37*S[-1, Infinity]^4)/216 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/18 - (497*S[2, Infinity]^2)/360 - 
   (49*S[-1, Infinity]*S[3, Infinity])/24 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (21*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (28*S[4, {-1/2}, Infinity])/3 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 - (16*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 2, 1, {-1/2, -1, -2}, Infinity] -> S[-1, Infinity]^4/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/3 - (139*S[2, Infinity]^2)/60 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (25*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 8*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 2*S[1, 3, {-1, 1/2}, Infinity] - 
   (4*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1/2, 1/2, -1}, Infinity] -> 
  (11*S[-1, Infinity]^4)/72 - (11*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (13*S[2, Infinity]^2)/120 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   4*S[4, {-1/2}, Infinity] + S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] - 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + 4*S[1, 3, {-1, 1/2}, Infinity] - 
   3*S[1, 3, {-1/2, -2}, Infinity] - (23*S[-1, 1, 1, 1, Infinity])/3 - 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - S[1, 1, 2, {-1/2, -1, 1/2}, 
    Infinity], S[1, 2, 1, {-1/2, 1/2, 2}, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity])/4 - S[2, Infinity]^2/2 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 2*S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + S[1, 3, {-1/2, 1/2}, Infinity] + 
   S[1, 3, {1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - S[2, 2, {-1/2, 1/2}, Infinity] - 
   S[2, 2, {1/2, -1/2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, Infinity], 
 S[1, 2, 1, {-1/2, 1/2, -2}, Infinity] -> (-43*S[-1, Infinity]^4)/216 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/36 + (97*S[2, Infinity]^2)/180 + 
   (21*S[-1, Infinity]*S[3, Infinity])/8 - 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + (10*S[4, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - (7*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] + S[1, 3, {-1/2, 1/2}, Infinity] - 
   S[1, 3, {1/2, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity] + (4*S[-1, 1, 1, 1, Infinity])/9 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity], 
 S[1, 2, 1, {-1/2, -1/2, 1}, Infinity] -> (-113*S[-1, Infinity]^4)/216 + 
   (11*S[-1, Infinity]^2*S[2, Infinity])/36 - (46*S[2, Infinity]^2)/45 - 
   (175*S[-1, Infinity]*S[3, Infinity])/36 - 
   (19*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (41*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (1907*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (10*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (97*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (161*S[4, {-1/2}, Infinity])/6 + 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (25*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (31*S[1, 3, {-1, 1/2}, Infinity])/3 - (15*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (19*S[-1, 1, 1, 1, Infinity])/9 - 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity], 
 S[1, 2, 1, {-1/2, -1/2, -1}, Infinity] -> 
  S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1, -1/2}, 
    Infinity], S[1, 2, 1, {-1/2, -1/2, -1/2}, Infinity] -> 
  (61*S[-1, Infinity]^4)/72 - (11*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (293*S[2, Infinity]^2)/60 - (91*S[-1, Infinity]*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   6*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (177*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   9*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 18*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 70*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   32*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 38*S[1, 3, {-1, 1/2}, Infinity] - 
   32*S[1, 3, {-1/2, -2}, Infinity] - (46*S[-1, 1, 1, 1, Infinity])/3 - 
   2*S[1, 1, 2, {-1/2, -1/2, -1/2}, Infinity], 
 S[1, 2, 1, {-1/2, -1/2, 2}, Infinity] -> (13*S[-1, Infinity]^4)/72 - 
   (17*S[-1, Infinity]^2*S[2, Infinity])/6 - (7*S[2, Infinity]^2)/60 - 
   (77*S[-1, Infinity]*S[3, Infinity])/8 - 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (83*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   5*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 11*S[4, {-1/2}, Infinity] + 
   3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   8*S[1, 3, {-1, 1/2}, Infinity] - 6*S[1, 3, {-1/2, -2}, Infinity] - 
   (34*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1/2, -1/2, -2}, Infinity] -> 
  S[-1, Infinity]^4/36 - (2*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (49*S[2, Infinity]^2)/30 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (433*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (29*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   6*S[4, {-1/2}, Infinity] + S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] - (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (17*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 2, 1, {-1/2, 2, 1}, Infinity] -> -S[-1, Infinity]^4/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (11*S[2, Infinity]^2)/40 + 
   (35*S[-1, Infinity]*S[3, Infinity])/24 - 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 2*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   2*S[1, 3, {-1, 1/2}, Infinity] + S[-1, 1, 1, 1, Infinity], 
 S[1, 2, 1, {-1/2, 2, -1}, Infinity] -> (-29*S[-1, Infinity]^4)/216 + 
   (19*S[-1, Infinity]^2*S[2, Infinity])/18 + (409*S[2, Infinity]^2)/360 + 
   (77*S[-1, Infinity]*S[3, Infinity])/24 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (29*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (53*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 + 3*S[1, 3, {-1/2, -2}, Infinity] - 
   (31*S[-1, 1, 1, 1, Infinity])/9, S[1, 2, 1, {-1/2, 2, 1/2}, Infinity] -> 
  (-7*S[-1, Infinity]^4)/216 - (S[-1, Infinity]^2*S[2, Infinity])/18 - 
   (121*S[2, Infinity]^2)/360 + (49*S[-1, Infinity]*S[3, Infinity])/24 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (13*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - (7*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] + (13*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 2, 1, {-1/2, 2, -1/2}, Infinity] -> (43*S[-1, Infinity]^4)/72 - 
   (17*S[-1, Infinity]^2*S[2, Infinity])/6 + (247*S[2, Infinity]^2)/120 - 
   (193*S[-1, Infinity]*S[3, Infinity])/24 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (163*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 5*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 5*S[1, 3, {-1, 1/2}, Infinity] - 
   6*S[1, 3, {-1/2, -2}, Infinity] - (25*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 2, 1, {-1/2, -2, 1}, Infinity] -> (-3*S[2, Infinity]^2)/5 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (3*S[4, {-1/2}, Infinity])/2 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (3*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[1, 2, 1, {-1/2, -2, -1}, Infinity] -> S[-1, Infinity]^4/24 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/6 - (61*S[2, Infinity]^2)/40 + 
   (35*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (9*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   21*S[4, {-1/2}, Infinity] - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   3*S[1, 3, {-1, 1/2}, Infinity] - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   8*S[-1, 1, 1, 1, Infinity], S[1, 2, 1, {-1/2, -2, 1/2}, Infinity] -> 
  (-19*S[-1, Infinity]^4)/36 + (11*S[-1, Infinity]^2*S[2, Infinity])/6 - 
   S[2, Infinity]^2/6 + (415*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 8*S[4, {-1/2}, Infinity] + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (8*S[-1, 1, 1, 1, Infinity])/3, S[1, 2, 1, {-1/2, -2, -1/2}, Infinity] -> 
  (-23*S[2, Infinity]^2)/10 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   2*S[4, {-1/2}, Infinity] + 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] + (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 2, {-1, 1, 1/2}, Infinity] -> S[-1, Infinity]^4/36 - 
   (S[-1, Infinity]^2*S[2, Infinity])/6 + (4*S[2, Infinity]^2)/15 - 
   (S[-1, Infinity]*S[3, Infinity])/8 + 7*S[4, {-1/2}, Infinity] - 
   (14*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {-1, 1, -1/2}, Infinity] -> 
  S[-1, Infinity]^4/18 - (S[-1, Infinity]^2*S[2, Infinity])/6 - 
   S[2, Infinity]^2/6 - (65*S[-1, Infinity]*S[3, Infinity])/72 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 6*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (11*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {-1, -1, 1/2}, Infinity] -> 
  (-13*S[-1, Infinity]^4)/18 + (7*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (53*S[2, Infinity]^2)/60 + (11*S[-1, Infinity]*S[3, Infinity])/3 + 
   6*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 18*S[4, {-1/2}, Infinity] + 
   (37*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {-1, -1, -1/2}, Infinity] -> 
  S[-1, Infinity]^4/8 - (5*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (31*S[2, Infinity]^2)/40 + (3*S[-1, Infinity]*S[3, Infinity])/4 - 
   4*S[3, Infinity]*S[1, {-1/2}, Infinity] - 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 19*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 3*S[1, 3, {-1, 1/2}, Infinity] + 
   4*S[1, 3, {-1/2, -2}, Infinity] - 8*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, {-1, 1/2, 1}, Infinity] -> (5*S[-1, Infinity]^4)/72 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/12 + (83*S[2, Infinity]^2)/120 - 
   (15*S[-1, Infinity]*S[3, Infinity])/4 + 4*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 14*S[4, {-1/2}, Infinity] - 
   5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 5*S[1, 3, {-1, 1/2}, Infinity] - 
   4*S[1, 3, {-1/2, -2}, Infinity] + (10*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {-1, 1/2, -1}, Infinity] -> -S[-1, Infinity]^4/6 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/2 - (9*S[2, Infinity]^2)/10 + 
   (29*S[-1, Infinity]*S[3, Infinity])/12 + 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 6*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 2*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, {-1, 1/2, 2}, Infinity] -> (19*S[-1, Infinity]^4)/72 - 
   (13*S[-1, Infinity]^2*S[2, Infinity])/12 - (7*S[2, Infinity]^2)/60 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 12*S[4, {-1/2}, Infinity] - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (31*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {-1, 1/2, -2}, Infinity] -> 
  (17*S[-1, Infinity]^4)/72 - (29*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (127*S[2, Infinity]^2)/120 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - (11*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {-1, -1/2, 1}, Infinity] -> (17*S[-1, Infinity]^4)/36 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (73*S[2, Infinity]^2)/60 + 
   (31*S[-1, Infinity]*S[3, Infinity])/36 + S[-1, Infinity]^3*
    S[1, {-1/2}, Infinity] - S[-1, Infinity]*S[2, Infinity]*
    S[1, {-1/2}, Infinity] - (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   8*S[4, {-1/2}, Infinity] - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (4*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {-1, -1/2, -1}, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity])/4 - S[2, Infinity]^2/8 - 
   (13*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 3*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
      Infinity])/2 + S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + S[1, 3, {-1, 1/2}, Infinity], 
 S[1, 1, 2, {-1, -1/2, 2}, Infinity] -> -S[-1, Infinity]^4/9 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/12 - (13*S[2, Infinity]^2)/60 - 
   (7*S[-1, Infinity]*S[3, Infinity])/24 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 7*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 3, {-1, 1/2}, Infinity] + (8*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {-1, -1/2, -2}, Infinity] -> S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/20 - 
   (35*S[-1, Infinity]*S[3, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 19*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 4*S[1, 3, {-1, 1/2}, Infinity] - 
   4*S[1, 3, {-1/2, -2}, Infinity] + 8*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, {1/2, 1, 1}, Infinity] -> -S[-1, Infinity]^4/12 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (11*S[2, Infinity]^2)/10 + 
   (7*S[-1, Infinity]*S[3, Infinity])/4 + 2*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, {1/2, 1, -1}, Infinity] -> S[-1, Infinity]^4/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/12 - (29*S[2, Infinity]^2)/30 - 
   (3*S[-1, Infinity]*S[3, Infinity])/4 - 4*S[4, {-1/2}, Infinity] + 
   S[1, 3, {-1, 1/2}, Infinity] + (2*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {1/2, 1, 1/2}, Infinity] -> -S[-1, Infinity]^4/36 + 
   (S[-1, Infinity]^2*S[2, Infinity])/6 + (17*S[2, Infinity]^2)/60 + 
   (7*S[-1, Infinity]*S[3, Infinity])/8 - 3*S[4, {-1/2}, Infinity] + 
   S[1, 3, {-1, 1/2}, Infinity] + (5*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {1/2, 1, -1/2}, Infinity] -> S[-1, Infinity]^4/48 - 
   (17*S[-1, Infinity]^2*S[2, Infinity])/24 - (23*S[2, Infinity]^2)/40 - 
   (215*S[-1, Infinity]*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (39*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   5*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[1, 3, {-1, 1/2}, Infinity])/2 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 + (3*S[1, 3, {1/2, -1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[2, 2, {-1/2, 1/2}, Infinity] - S[2, 2, {1/2, -1/2}, Infinity]/2 - 
   2*S[-1, 1, 1, 1, Infinity] - S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + S[1, 1, 2, {-1/2, 1, 1/2}, 
    Infinity], S[1, 1, 2, {1/2, 1, 2}, Infinity] -> 
  -S[-1, Infinity]^4/6 + S[-1, Infinity]^2*S[2, Infinity] + 
   (17*S[2, Infinity]^2)/10 + (7*S[-1, Infinity]*S[3, Infinity])/4 + 
   4*S[-1, 1, 1, 1, Infinity], S[1, 1, 2, {1/2, 1, -2}, Infinity] -> 
  (11*S[-1, Infinity]^4)/36 - (S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (49*S[2, Infinity]^2)/60 - (7*S[-1, Infinity]*S[3, Infinity])/9 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (4*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {1/2, -1, 1}, Infinity] -> 
  (-11*S[-1, Infinity]^4)/72 + (11*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (17*S[2, Infinity]^2)/15 + (9*S[-1, Infinity]*S[3, Infinity])/2 - 
   2*S[3, Infinity]*S[1, {-1/2}, Infinity] + 13*S[4, {-1/2}, Infinity] + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 4*S[1, 3, {-1, 1/2}, Infinity] + 
   2*S[1, 3, {-1/2, -2}, Infinity] - S[-1, 1, 1, 1, Infinity]/3, 
 S[1, 1, 2, {1/2, -1, -1}, Infinity] -> (2*S[-1, Infinity]^4)/9 - 
   (19*S[-1, Infinity]^2*S[2, Infinity])/12 - (11*S[2, Infinity]^2)/30 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 3*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (13*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {1/2, -1, -1/2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/36 - (7*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (113*S[2, Infinity]^2)/120 + (21*S[-1, Infinity]*S[3, Infinity])/8 - 
   6*S[3, Infinity]*S[1, {-1/2}, Infinity] - 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 23*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   6*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 7*S[1, 3, {-1, 1/2}, Infinity] + 
   6*S[1, 3, {-1/2, -2}, Infinity] - (19*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {1/2, -1, 2}, Infinity] -> -S[-1, Infinity]^4/2 + 
   (13*S[-1, Infinity]^2*S[2, Infinity])/4 + (11*S[2, Infinity]^2)/20 + 
   (49*S[-1, Infinity]*S[3, Infinity])/6 + 6*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 18*S[4, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   18*S[-1, 1, 1, 1, Infinity], S[1, 1, 2, {1/2, -1, -2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/24 - (7*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   S[2, Infinity]^2/10 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 6*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 6*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, {1/2, 1/2, 1}, Infinity] -> -S[-1, Infinity]^4/9 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/6 + (13*S[2, Infinity]^2)/120 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8 + 4*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   20*S[4, {-1/2}, Infinity] - S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] - 4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 5*S[1, 3, {-1, 1/2}, Infinity] - 
   4*S[1, 3, {-1/2, -2}, Infinity] + (17*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {1/2, 1/2, -1}, Infinity] -> (67*S[-1, Infinity]^4)/432 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/9 - (173*S[2, Infinity]^2)/180 - 
   (8*S[-1, Infinity]*S[3, Infinity])/3 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (23*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (14*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/6 - S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 + (3*S[1, 3, {1/2, -1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[2, 2, {-1/2, 1/2}, Infinity])/2 - S[2, 2, {1/2, -1/2}, Infinity] - 
   (14*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2, 
 S[1, 1, 2, {1/2, 1/2, 2}, Infinity] -> (-23*S[-1, Infinity]^4)/72 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/3 + (23*S[2, Infinity]^2)/60 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 9*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (26*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {1/2, 1/2, -2}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/12 + 2*S[-1, Infinity]^2*S[2, Infinity] - 
   S[2, Infinity]^2/10 + (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 12*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 11*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, {1/2, -1/2, 2}, Infinity] -> (43*S[-1, Infinity]^4)/216 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/36 - (97*S[2, Infinity]^2)/180 - 
   (21*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - (7*S[4, {-1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 2*S[1, {-1/2}, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] + (7*S[1, 3, {-1, 1/2}, Infinity])/3 - 
   2*S[1, 3, {-1/2, -2}, Infinity] + 2*S[1, 3, {-1/2, 1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   2*S[2, 2, {-1/2, 1/2}, Infinity] - 3*S[2, 2, {1/2, -1/2}, Infinity] - 
   (13*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, 1/2, 2}, Infinity], 
 S[1, 1, 2, {1/2, -1/2, -2}, Infinity] -> (5*S[-1, Infinity]^4)/12 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/2 - (23*S[2, Infinity]^2)/20 - 
   (63*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (37*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 11*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 2*S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] + 5*S[1, 3, {-1, 1/2}, Infinity] - 
   4*S[1, 3, {-1/2, -2}, Infinity] + 2*S[1, 3, {1/2, -1/2}, Infinity] + 
   2*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   3*S[2, 2, {-1/2, 1/2}, Infinity] - 2*S[2, 2, {1/2, -1/2}, Infinity] - 
   5*S[-1, 1, 1, 1, Infinity] - S[1, 1, 2, {-1/2, 1/2, -2}, Infinity], 
 S[1, 1, 2, {1/2, 2, 1}, Infinity] -> -S[-1, Infinity]^4/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/2 + (81*S[2, Infinity]^2)/40 + 
   (21*S[-1, Infinity]*S[3, Infinity])/8 + 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, {1/2, 2, -1}, Infinity] -> (23*S[-1, Infinity]^4)/72 - 
   (13*S[-1, Infinity]^2*S[2, Infinity])/6 - (137*S[2, Infinity]^2)/60 - 
   (119*S[-1, Infinity]*S[3, Infinity])/24 - 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 6*S[4, {-1/2}, Infinity] - 
   (29*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {1/2, 2, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/6 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   2*S[2, Infinity]^2 + (21*S[-1, Infinity]*S[3, Infinity])/8 + 
   4*S[-1, 1, 1, 1, Infinity], S[1, 1, 2, {1/2, 2, -1/2}, Infinity] -> 
  (23*S[-1, Infinity]^4)/72 - (5*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (32*S[2, Infinity]^2)/15 - (43*S[-1, Infinity]*S[3, Infinity])/8 + 
   2*S[3, Infinity]*S[1, {-1/2}, Infinity] - 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 10*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 4*S[1, 3, {-1, 1/2}, Infinity] - 
   2*S[1, 3, {-1/2, -2}, Infinity] - (8*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {1/2, -2, 1}, Infinity] -> (25*S[-1, Infinity]^4)/72 + 
   2*S[-1, Infinity]^2*S[2, Infinity] + (11*S[2, Infinity]^2)/15 + 
   (539*S[-1, Infinity]*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   10*S[4, {-1/2}, Infinity] - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (11*S[-1, 1, 1, 1, Infinity])/3, S[1, 1, 2, {1/2, -2, -1}, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity])/2 + S[2, Infinity]^2/5 - 
   (7*S[-1, Infinity]*S[3, Infinity])/6 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 4*S[4, {-1/2}, Infinity] + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 3, {-1, 1/2}, Infinity] - S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, {1/2, -2, 1/2}, Infinity] -> -S[-1, Infinity]^4/2 + 
   3*S[-1, Infinity]^2*S[2, Infinity] + S[2, Infinity]^2/10 + 
   (121*S[-1, Infinity]*S[3, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (63*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 3*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 13*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   8*S[1, 3, {-1, 1/2}, Infinity] + 6*S[1, 3, {-1/2, -2}, Infinity] + 
   7*S[-1, 1, 1, 1, Infinity], S[1, 1, 2, {1/2, -2, -1/2}, Infinity] -> 
  S[-1, Infinity]^4/2 - (5*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/2 - (133*S[-1, Infinity]*S[3, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   5*S[4, {-1/2}, Infinity] - 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 4*S[1, 3, {-1, 1/2}, Infinity] - 
   4*S[1, 3, {-1/2, -2}, Infinity] - 5*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 2, {-1/2, 1, 1}, Infinity] -> (33*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (3*S[4, {-1/2}, Infinity])/2 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1/2, -2}, Infinity]/2 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 2, {-1/2, 1, -1}, Infinity] -> (5*S[-1, Infinity]^4)/54 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/18 - (119*S[2, Infinity]^2)/180 + 
   (47*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (2*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (5*S[4, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, 3, {-1, 1/2}, Infinity]/3 + S[1, 3, {-1/2, -2}, Infinity] + 
   (4*S[-1, 1, 1, 1, Infinity])/9, S[1, 1, 2, {-1/2, 1, -1/2}, Infinity] -> 
  (53*S[-1, Infinity]^4)/108 - (55*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (73*S[2, Infinity]^2)/90 - (35*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (113*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (53*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 + 3*S[1, 3, {-1/2, -2}, Infinity] - 
   (58*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity], 
 S[1, 1, 2, {-1/2, 1, 2}, Infinity] -> (-11*S[-1, Infinity]^4)/108 + 
   (S[-1, Infinity]^2*S[2, Infinity])/36 + (13*S[2, Infinity]^2)/180 - 
   (77*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (31*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (14*S[4, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (8*S[-1, 1, 1, 1, Infinity])/9, S[1, 1, 2, {-1/2, 1, -2}, Infinity] -> 
  (-3*S[2, Infinity]^2)/4 + (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   3*S[4, {-1/2}, Infinity] + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 3, {-1/2, -2}, Infinity] + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2, 
 S[1, 1, 2, {-1/2, -1, 1}, Infinity] -> (-5*S[-1, Infinity]^4)/72 + 
   (2*S[-1, Infinity]^2*S[2, Infinity])/3 - (107*S[2, Infinity]^2)/120 + 
   (11*S[-1, Infinity]*S[3, Infinity])/24 + 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 7*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 3, {-1, 1/2}, Infinity] + (5*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {-1/2, -1, -1}, Infinity] -> (5*S[-1, Infinity]^4)/108 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/18 + (43*S[2, Infinity]^2)/360 - 
   (49*S[-1, Infinity]*S[3, Infinity])/24 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (19*S[4, {-1/2}, Infinity])/3 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + (7*S[1, 3, {-1, 1/2}, Infinity])/3 - 
   2*S[1, 3, {-1/2, -2}, Infinity] + (11*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 2, {-1/2, -1, 2}, Infinity] -> (-5*S[-1, Infinity]^4)/108 - 
   (2*S[-1, Infinity]^2*S[2, Infinity])/9 + (16*S[2, Infinity]^2)/45 - 
   (7*S[-1, Infinity]*S[3, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   2*S[3, Infinity]*S[1, {-1/2}, Infinity] - (32*S[4, {-1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (34*S[-1, 1, 1, 1, Infinity])/9, S[1, 1, 2, {-1/2, -1, -2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/72 - (4*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (49*S[2, Infinity]^2)/60 + (7*S[-1, Infinity]*S[3, Infinity])/6 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (19*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 32*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 8*S[1, 3, {-1, 1/2}, Infinity] + 
   6*S[1, 3, {-1/2, -2}, Infinity] - (34*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {-1/2, -1/2, 1}, Infinity] -> (11*S[-1, Infinity]^4)/27 - 
   (19*S[-1, Infinity]^2*S[2, Infinity])/36 + (37*S[2, Infinity]^2)/90 - 
   (107*S[-1, Infinity]*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   S[4, {-1/2}, Infinity]/6 - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 - S[1, 3, {-1/2, -2}, Infinity]/2 - 
   (13*S[-1, 1, 1, 1, Infinity])/9 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity], 
 S[1, 1, 2, {-1/2, -1/2, 2}, Infinity] -> (-19*S[-1, Infinity]^4)/36 + 
   (29*S[-1, Infinity]^2*S[2, Infinity])/12 - (47*S[2, Infinity]^2)/30 + 
   (35*S[-1, Infinity]*S[3, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (8*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   6*S[-1, Infinity]*S[3, {-1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 10*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 2*S[1, 3, {-1, 1/2}, Infinity] + 
   3*S[1, 3, {-1/2, -2}, Infinity] + (32*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {-1/2, -1/2, -2}, Infinity] -> S[-1, Infinity]^4/36 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/12 + (11*S[2, Infinity]^2)/12 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (251*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   16*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (19*S[-1, 1, 1, 1, Infinity])/3 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 1, 2, {-1/2, 2, 1}, Infinity] -> (-7*S[-1, Infinity]^4)/36 + 
   (11*S[-1, Infinity]^2*S[2, Infinity])/12 + (13*S[2, Infinity]^2)/120 + 
   (35*S[-1, Infinity]*S[3, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   S[3, Infinity]*S[1, {-1/2}, Infinity] + S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 7*S[4, {-1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 3, {-1, 1/2}, Infinity] + (20*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {-1/2, 2, -1}, Infinity] -> (5*S[-1, Infinity]^4)/216 + 
   (13*S[-1, Infinity]^2*S[2, Infinity])/36 + (11*S[2, Infinity]^2)/90 + 
   (7*S[-1, Infinity]*S[3, Infinity])/24 + S[-1, Infinity]*S[2, Infinity]*
    S[1, {-1/2}, Infinity] + (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (4*S[4, {-1/2}, Infinity])/3 - S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] - S[1, 3, {-1, 1/2}, Infinity]/3 + 
   S[1, 3, {-1/2, -2}, Infinity] - (8*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 2, {-1/2, 2, 1/2}, Infinity] -> (2*S[-1, Infinity]^4)/27 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/36 + (11*S[2, Infinity]^2)/18 - 
   (7*S[-1, Infinity]*S[3, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (10*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (5*S[4, {-1/2}, Infinity])/3 - S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] - S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (31*S[-1, 1, 1, 1, Infinity])/9, S[1, 1, 2, {-1/2, 2, -1/2}, Infinity] -> 
  (-43*S[-1, Infinity]^4)/72 + (4*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (47*S[2, Infinity]^2)/60 + (143*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (63*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 7*S[4, {-1/2}, Infinity] + 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 6*S[1, 3, {-1, 1/2}, Infinity] + 
   6*S[1, 3, {-1/2, -2}, Infinity] + (19*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 2, {-1/2, -2, 1}, Infinity] -> (-3*S[2, Infinity]^2)/20 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (11*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (3*S[4, {-1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 2, {-1/2, -2, -1}, Infinity] -> (-29*S[-1, Infinity]^4)/216 - 
   (10*S[-1, Infinity]^2*S[2, Infinity])/9 - (149*S[2, Infinity]^2)/360 - 
   (119*S[-1, Infinity]*S[3, Infinity])/36 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (31*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 2*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + (5*S[4, {-1/2}, Infinity])/3 + 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (40*S[-1, 1, 1, 1, Infinity])/9, S[1, 1, 2, {-1/2, -2, 1/2}, Infinity] -> 
  (59*S[-1, Infinity]^4)/108 - (67*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   S[2, Infinity]^2/180 - (181*S[-1, Infinity]*S[3, Infinity])/36 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (22*S[4, {-1/2}, Infinity])/3 - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (10*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (16*S[-1, 1, 1, 1, Infinity])/9, S[4, {1/2}, Infinity] -> 
  -S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, 1, 1, 1/2}, Infinity] -> 
  8*S[4, {-1/2}, Infinity] - 7*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {-1, 1, 1, -1/2}, Infinity] -> (-5*S[-1, Infinity]^4)/108 - 
   (2*S[-1, Infinity]^2*S[2, Infinity])/9 + (73*S[2, Infinity]^2)/180 - 
   (7*S[-1, Infinity]*S[3, Infinity])/3 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (277*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (17*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (29*S[4, {-1/2}, Infinity])/3 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 - 3*S[1, 3, {-1/2, -2}, Infinity] + 
   (25*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 1, 1, 1, {-1, 1, -1, 1/2}, Infinity] -> 
  (13*S[-1, Infinity]^4)/24 - (23*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (3*S[2, Infinity]^2)/8 - (331*S[-1, Infinity]*S[3, Infinity])/72 + 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + 2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1, -1, -1/2}, Infinity] -> 
  -S[-1, Infinity]^4/8 + (7*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   S[2, Infinity]^2/8 + (21*S[-1, Infinity]*S[3, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] + 2*S[1, 1, {1/2, 1/2}, Infinity]^2, 
 S[1, 1, 1, 1, {-1, 1, 1/2, 1}, Infinity] -> -S[-1, Infinity]^4/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (7*S[2, Infinity]^2)/40 + 
   (29*S[-1, Infinity]*S[3, Infinity])/8 - 4*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 16*S[4, {-1/2}, Infinity] + 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   3*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, 1, 1/2, -1}, Infinity] -> 
  (59*S[-1, Infinity]^4)/72 - (31*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (113*S[2, Infinity]^2)/120 - (241*S[-1, Infinity]*S[3, Infinity])/72 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   36*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (89*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1, 1/2, 1/2}, Infinity] -> (241*S[-1, Infinity]^4)/864 - 
   (117*S[-1, Infinity]^2*S[2, Infinity])/32 + (713*S[2, Infinity]^2)/288 - 
   (4333*S[-1, Infinity]*S[3, Infinity])/864 + 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (35*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/18 + 
   (1945*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 + 
   (37*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/36 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (265*S[-1, Infinity]*S[3, {-1/2}, Infinity])/36 + 
   (53*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (65*S[4, {-1/2}, Infinity])/12 - 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 + 
   (289*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/144 - 
   (155*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/48 - 
   (89*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/24 + 
   (17*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/18 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1, 1/2}, Infinity]/3 - (5*S[1, 3, {-1/2, -2}, Infinity])/4 + 
   S[1, 3, {-1/2, 1/2}, Infinity]/6 - (2*S[1, 3, {1/2, -1/2}, Infinity])/3 + 
   (7*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (23*S[2, 2, {-1/2, 1/2}, Infinity])/24 + 
   (19*S[2, 2, {1/2, -1/2}, Infinity])/24 + (77*S[-1, 1, 1, 1, Infinity])/9 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1, 1/2, 1/2}, Infinity]/2 + 
   (2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 - 
   (3*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/3 + 
   S[1, 1, 2, {-1/2, 1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 + 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1, 1/2, 2}, Infinity] -> (-3*S[-1, Infinity]^4)/8 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/8 + 
   (21*S[-1, Infinity]*S[3, Infinity])/8 + 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 12*S[4, {-1/2}, Infinity] + 
   13*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, 1, 1/2, -2}, Infinity] -> 
  -S[-1, Infinity]^4/24 + (5*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (33*S[2, Infinity]^2)/40 - (7*S[-1, Infinity]*S[3, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 8*S[4, {-1/2}, Infinity] - 
   6*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] - 
   3*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, 1, -1/2, 1}, Infinity] -> 
  (-179*S[-1, Infinity]^4)/216 + (53*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (38*S[2, Infinity]^2)/45 + (31*S[-1, Infinity]*S[3, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (109*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (28*S[4, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 - S[1, 3, {-1/2, -2}, Infinity] + 
   (56*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1, -1/2, -1}, Infinity] -> (-35*S[-1, Infinity]^4)/108 - 
   (71*S[-1, Infinity]^2*S[2, Infinity])/36 + (19*S[2, Infinity]^2)/72 - 
   (985*S[-1, Infinity]*S[3, Infinity])/72 - 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (1027*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (47*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   (325*S[4, {-1/2}, Infinity])/6 + 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (51*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   (47*S[1, 3, {-1, 1/2}, Infinity])/3 - (29*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (112*S[-1, 1, 1, 1, Infinity])/9 - 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1, 1, -1/2, -1/2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/144 - (32*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (49*S[2, Infinity]^2)/120 - (47*S[-1, Infinity]*S[3, Infinity])/432 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (10*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (2351*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 + 
   (35*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (137*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (20*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   (169*S[4, {-1/2}, Infinity])/6 - 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + (115*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 + 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (59*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (11*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (5*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   (23*S[1, 3, {-1, 1/2}, Infinity])/3 + 6*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 - (5*S[1, 3, {1/2, -1/2}, Infinity])/3 + 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   (4*S[2, 2, {-1/2, 1/2}, Infinity])/3 - S[2, 2, {1/2, -1/2}, Infinity]/3 - 
   (17*S[-1, 1, 1, 1, Infinity])/2 - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   2*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/6 + 
   2*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   (5*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/6 + S[1, 1, 2, {1/2, -1, 1/2}, 
    Infinity] + 2*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   (2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1, -1/2, 2}, Infinity] -> (89*S[-1, Infinity]^4)/216 - 
   (23*S[-1, Infinity]^2*S[2, Infinity])/36 + (23*S[2, Infinity]^2)/90 + 
   (7*S[-1, Infinity]*S[3, Infinity])/36 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (91*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (34*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 + S[1, 3, {-1/2, -2}, Infinity] - 
   (56*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {-1, 1, -1/2, -2}, Infinity] -> (-25*S[-1, Infinity]^4)/216 + 
   (S[-1, Infinity]^2*S[2, Infinity])/36 + (7*S[2, Infinity]^2)/180 + 
   (133*S[-1, Infinity]*S[3, Infinity])/36 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (53*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (61*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   (19*S[1, 3, {-1, 1/2}, Infinity])/3 + 6*S[1, 3, {-1/2, -2}, Infinity] - 
   (32*S[-1, 1, 1, 1, Infinity])/9 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1, -1, 1, 1/2}, Infinity] -> (-7*S[-1, Infinity]^4)/6 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (49*S[-1, Infinity]*S[3, Infinity])/8 + 8*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 24*S[4, {-1/2}, Infinity] + 
   21*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, -1, 1, -1/2}, Infinity] -> 
  (11*S[-1, Infinity]^4)/36 - (S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (73*S[2, Infinity]^2)/60 + (343*S[-1, Infinity]*S[3, Infinity])/72 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (733*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (35*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   29*S[4, {-1/2}, Infinity] - 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (15*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   8*S[1, 3, {-1, 1/2}, Infinity] + 9*S[1, 3, {-1/2, -2}, Infinity] - 
   (25*S[-1, 1, 1, 1, Infinity])/3 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1, -1, -1, 1/2}, Infinity] -> (5*S[-1, Infinity]^4)/24 - 
   (11*S[-1, Infinity]^2*S[2, Infinity])/4 - (43*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]*S[3, Infinity])/4 - 8*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 8*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   40*S[4, {-1/2}, Infinity] + 2*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] + 10*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] - 2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   8*S[1, 3, {-1, 1/2}, Infinity] + 8*S[1, 3, {-1/2, -2}, Infinity] - 
   16*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, -1, -1, -1/2}, 
   Infinity] -> (-43*S[-1, Infinity]^4)/24 + 
   (43*S[-1, Infinity]^2*S[2, Infinity])/12 + (33*S[2, Infinity]^2)/40 + 
   (79*S[-1, Infinity]*S[3, Infinity])/36 - 2*S[-1, Infinity]^3*
    S[1, {-1/2}, Infinity] + 4*S[-1, Infinity]*S[2, Infinity]*
    S[1, {-1/2}, Infinity] + 13*S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   (32*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   8*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   40*S[4, {-1/2}, Infinity] + 
   (10*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   8*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   8*S[1, 3, {-1, 1/2}, Infinity] - 8*S[1, 3, {-1/2, -2}, Infinity] + 
   16*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, -1, 1/2, 1}, Infinity] -> 
  (-91*S[-1, Infinity]^4)/72 + (17*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (91*S[2, Infinity]^2)/120 + (529*S[-1, Infinity]*S[3, Infinity])/72 - 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (28*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   18*S[4, {-1/2}, Infinity] + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (37*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, -1, 1/2, -1}, Infinity] -> (-73*S[-1, Infinity]^4)/72 + 
   (37*S[-1, Infinity]^2*S[2, Infinity])/12 + (53*S[2, Infinity]^2)/120 - 
   (55*S[-1, Infinity]*S[3, Infinity])/8 + 16*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 12*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   90*S[4, {-1/2}, Infinity] - S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] - 18*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 + 18*S[1, 3, {-1, 1/2}, Infinity] - 
   16*S[1, 3, {-1/2, -2}, Infinity] + (109*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, -1, 1/2, 2}, Infinity] -> (41*S[-1, Infinity]^4)/72 - 
   (17*S[-1, Infinity]^2*S[2, Infinity])/12 - (91*S[2, Infinity]^2)/120 - 
   (35*S[-1, Infinity]*S[3, Infinity])/8 - 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 6*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (35*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, -1, 1/2, -2}, Infinity] -> (-43*S[-1, Infinity]^4)/72 - 
   (17*S[-1, Infinity]^2*S[2, Infinity])/12 - (307*S[2, Infinity]^2)/120 + 
   (21*S[-1, Infinity]*S[3, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   13*S[3, Infinity]*S[1, {-1/2}, Infinity] - 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 8*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 22*S[4, {-1/2}, Infinity] + 
   3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   10*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 8*S[1, 3, {-1, 1/2}, Infinity] + 
   8*S[1, 3, {-1/2, -2}, Infinity] - (11*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, -1, -1/2, 1}, Infinity] -> 
  -S[-1, Infinity]^4/6 - (17*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (13*S[2, Infinity]^2)/20 + (65*S[-1, Infinity]*S[3, Infinity])/72 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (73*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (13*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (8*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   19*S[4, {-1/2}, Infinity] + 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   3*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   8*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, -1, -1/2, -1}, Infinity] -> 
  (37*S[-1, Infinity]^4)/12 - (59*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (37*S[2, Infinity]^2)/20 + (221*S[-1, Infinity]*S[3, Infinity])/72 + 
   (29*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (273*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (49*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   20*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   91*S[4, {-1/2}, Infinity] - 
   (49*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (39*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + 5*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (16*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   21*S[1, 3, {-1, 1/2}, Infinity] + 20*S[1, 3, {-1/2, -2}, Infinity] - 
   32*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, -1, -1/2, 2}, Infinity] -> 
  (-2*S[-1, Infinity]^4)/3 + (5*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   S[2, Infinity]^2/20 - (161*S[-1, Infinity]*S[3, Infinity])/72 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   21*S[4, {-1/2}, Infinity] + 
   (19*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   5*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   8*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, -1, -1/2, -2}, Infinity] -> 
  (-17*S[-1, Infinity]^4)/36 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/15 - (161*S[-1, Infinity]*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (20*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (9*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   10*S[4, {-1/2}, Infinity] + 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   5*S[1, 3, {-1, 1/2}, Infinity] - 5*S[1, 3, {-1/2, -2}, Infinity] - 
   (8*S[-1, 1, 1, 1, Infinity])/3 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1, 1/2, 1, 1}, Infinity] -> -S[-1, Infinity]^4/108 + 
   (S[-1, Infinity]^2*S[2, Infinity])/18 + (173*S[2, Infinity]^2)/180 - 
   (5*S[-1, Infinity]*S[3, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (109*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (7*S[4, {-1/2}, Infinity])/3 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 - S[1, 3, {-1/2, -2}, Infinity] + 
   (14*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 1, 1, 1, {-1, 1/2, 1, -1}, Infinity] -> 
  -S[-1, Infinity]^4/9 + (5*S[-1, Infinity]^2*S[2, Infinity])/6 - 
   S[2, Infinity]^2/60 + (17*S[-1, Infinity]*S[3, Infinity])/9 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (10*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   12*S[4, {-1/2}, Infinity] - 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + 2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (32*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1/2, 1, 1/2}, Infinity] -> (113*S[-1, Infinity]^4)/432 - 
   (125*S[-1, Infinity]^2*S[2, Infinity])/48 + (659*S[2, Infinity]^2)/720 - 
   (2831*S[-1, Infinity]*S[3, Infinity])/432 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (97*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (871*S[3, Infinity]*S[1, {-1/2}, Infinity])/108 + 
   (37*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/36 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (95*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (115*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (32*S[4, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + (53*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/72 - 
   (85*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (77*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (7*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   (25*S[1, 3, {-1, 1/2}, Infinity])/6 - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/6 + S[1, 3, {1/2, -1/2}, Infinity]/3 + 
   (7*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/12 - (13*S[2, 2, {1/2, -1/2}, Infinity])/
    12 + (31*S[-1, 1, 1, 1, Infinity])/18 - S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   (2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, 1, -1/2}, Infinity] -> 
  S[-1, Infinity]^4/24 - (47*S[-1, Infinity]^2*S[2, Infinity])/48 - 
   (5*S[2, Infinity]^2)/16 + (2177*S[-1, Infinity]*S[3, Infinity])/288 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (59*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (619*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (13*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (67*S[-1, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (37*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (81*S[4, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/8 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (87*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    4 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   (29*S[1, 3, {-1, 1/2}, Infinity])/2 + (49*S[1, 3, {-1/2, -2}, Infinity])/
    4 + S[1, 3, {1/2, -1/2}, Infinity]/4 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/4 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 - (5*S[-1, 1, 1, 1, Infinity])/2 - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity]/2 - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/4 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/4 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 - 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, 1, 2}, Infinity] -> (-7*S[-1, Infinity]^4)/18 - 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + (2*S[2, Infinity]^2)/3 - 
   (7*S[-1, Infinity]*S[3, Infinity])/18 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (10*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1/2, 1, -2}, Infinity] -> (-4*S[-1, Infinity]^4)/27 - 
   (23*S[-1, Infinity]^2*S[2, Infinity])/18 + (7*S[2, Infinity]^2)/9 - 
   (14*S[-1, Infinity]*S[3, Infinity])/9 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (43*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (2*S[4, {-1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (10*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, -1, 1}, Infinity] -> (14*S[-1, Infinity]^4)/9 - 
   (31*S[-1, Infinity]^2*S[2, Infinity])/6 + (79*S[2, Infinity]^2)/120 - 
   (289*S[-1, Infinity]*S[3, Infinity])/36 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (32*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   33*S[4, {-1/2}, Infinity] - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (85*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1/2, -1, -1}, Infinity] -> (17*S[-1, Infinity]^4)/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (23*S[2, Infinity]^2)/20 + 
   6*S[-1, Infinity]*S[3, Infinity] - 10*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 4*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   55*S[4, {-1/2}, Infinity] - S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] + (21*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 10*S[1, 3, {-1, 1/2}, Infinity] + 
   10*S[1, 3, {-1/2, -2}, Infinity] - 25*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, -1, 1/2}, Infinity] -> 
  (-19*S[-1, Infinity]^4)/54 + (133*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (13*S[2, Infinity]^2)/18 - (217*S[-1, Infinity]*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (2021*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (19*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (32*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (313*S[4, {-1/2}, Infinity])/6 - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (49*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (47*S[1, 3, {-1, 1/2}, Infinity])/3 - (25*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (109*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 + 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, -1, -1/2}, Infinity] -> 
  (-139*S[-1, Infinity]^4)/108 + (373*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (3907*S[2, Infinity]^2)/360 - (593*S[-1, Infinity]*S[3, Infinity])/216 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (7753*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 + 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 + 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   (32*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (226*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   (64*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   123*S[4, {-1/2}, Infinity] + 
   (8*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] - 
   (31*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (109*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (77*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 + (8*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (14*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (13*S[1, 1, {1/2, 1/2}, Infinity]^2)/6 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (32*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (16*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (22*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   26*S[1, 3, {-1, 1/2}, Infinity] - 29*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 + (11*S[1, 3, {1/2, -1/2}, Infinity])/3 - 
   (22*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[2, 2, {-1/2, 1/2}, Infinity])/3 + (25*S[2, 2, {1/2, -1/2}, Infinity])/
    3 + (518*S[-1, 1, 1, 1, Infinity])/9 + 8*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (16*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   11*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, 1/2, 1/2}, 
    Infinity] + (16*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 - 
   6*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1, 1/2}, 
    Infinity] - 2*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   2*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, 
    Infinity] - (4*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/3 + 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - S[1, 1, 2, {1/2, -1/2, -1}, 
    Infinity] - 6*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] + 
   (8*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   (4*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 + 
   8*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, -1, 2}, Infinity] -> -S[-1, Infinity]^4/36 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/6 - (161*S[2, Infinity]^2)/120 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 6*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 3*S[4, {-1/2}, Infinity] - 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - (7*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1/2, -1, -2}, Infinity] -> (3*S[-1, Infinity]^4)/4 + 
   (39*S[2, Infinity]^2)/40 - (49*S[-1, Infinity]*S[3, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   8*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (117*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   6*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 16*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 51*S[4, {-1/2}, Infinity] - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   17*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   6*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 18*S[1, 3, {-1, 1/2}, Infinity] - 
   16*S[1, 3, {-1/2, -2}, Infinity] + 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, 1/2, 1}, Infinity] -> (-55*S[-1, Infinity]^4)/288 + 
   (799*S[-1, Infinity]^2*S[2, Infinity])/288 - (159*S[2, Infinity]^2)/80 + 
   (5167*S[-1, Infinity]*S[3, Infinity])/864 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (41*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (1013*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 - 
   (47*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/72 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (127*S[-1, Infinity]*S[3, {-1/2}, Infinity])/36 - 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/36 + 
   (113*S[4, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/24 + 
   (17*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    12 + (3*S[1, 1, {-1/2, 1/2}, Infinity]^2)/8 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 + 
   (3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    4 + (3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/4 + 
   (3*S[1, 1, {1/2, -1/2}, Infinity]^2)/8 - 
   (115*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/144 + 
   (251*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/48 + 
   (91*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    36 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/6 - 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/12 - 
   (5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/6 - 
   (10*S[1, 3, {-1, 1/2}, Infinity])/3 + (17*S[1, 3, {-1/2, -2}, Infinity])/
    4 - S[1, 3, {-1/2, 1/2}, Infinity]/6 + 
   (17*S[1, 3, {1/2, -1/2}, Infinity])/12 - 
   (7*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/12 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/24 - (37*S[2, 2, {1/2, -1/2}, Infinity])/
    24 - (34*S[-1, 1, 1, 1, Infinity])/3 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   (3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1, 1/2, 1/2}, Infinity]/2 - 
   (2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 - 
   (3*S[1, 1, 2, {-1/2, 1/2, 1}, Infinity])/4 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/12 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 - 
   (3*S[1, 1, 2, {1/2, -1/2, 1}, Infinity])/4 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - S[1, 2, 1, {1/2, -1/2, 1}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity]/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, 1/2, -1}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/72 - (61*S[-1, Infinity]^2*S[2, Infinity])/24 - 
   (19*S[2, Infinity]^2)/60 + (557*S[-1, Infinity]*S[3, Infinity])/144 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (1643*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (19*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (43*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (61*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (71*S[4, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   8*S[1, 3, {-1, 1/2}, Infinity] + 8*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (5*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - (31*S[-1, 1, 1, 1, Infinity])/3 - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - 2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, 1/2, 2}, Infinity] -> (-43*S[-1, Infinity]^4)/144 + 
   (179*S[-1, Infinity]^2*S[2, Infinity])/24 + (23*S[2, Infinity]^2)/60 + 
   (905*S[-1, Infinity]*S[3, Infinity])/144 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (21*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (83*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   6*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   14*S[4, {-1/2}, Infinity] + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (55*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (29*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (25*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - 2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (19*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/2 - (9*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {-1/2, 1/2}, Infinity]/2 - 
   (13*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 - (7*S[-1, 1, 1, 1, Infinity])/3 + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, 1/2, -2}, Infinity] -> 
  (17*S[-1, Infinity]^4)/108 - (161*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (581*S[2, Infinity]^2)/360 + (1321*S[-1, Infinity]*S[3, Infinity])/144 + 
   2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity] - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (43*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (29*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (13*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (80*S[4, {-1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (61*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (25*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   (53*S[1, 3, {-1, 1/2}, Infinity])/3 + (31*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] + (131*S[-1, 1, 1, 1, Infinity])/9 - 
   4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, -1/2, -1}, Infinity] -> 
  (103*S[-1, Infinity]^4)/108 - (361*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (494*S[2, Infinity]^2)/45 + (815*S[-1, Infinity]*S[3, Infinity])/216 - 
   2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (7699*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 - 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 - 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (32*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (220*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (55*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   124*S[4, {-1/2}, Infinity] - 
   (8*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (5*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   (43*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (221*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (80*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 - (8*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (17*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (8*S[1, 1, {1/2, 1/2}, Infinity]^2)/3 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (32*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (16*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (22*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   26*S[1, 3, {-1, 1/2}, Infinity] + 29*S[1, 3, {-1/2, -2}, Infinity] - 
   (4*S[1, 3, {-1/2, 1/2}, Infinity])/3 - (8*S[1, 3, {1/2, -1/2}, Infinity])/
    3 + (22*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 - (25*S[2, 2, {1/2, -1/2}, Infinity])/3 - 
   (518*S[-1, 1, 1, 1, Infinity])/9 - 8*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] - 
   (16*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   11*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (16*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   6*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1/2, -1, 1/2}, 
    Infinity] + 2*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + 
   2*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/3 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity] - S[1, 1, 2, {1/2, -1/2, 1}, 
    Infinity] + 7*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] - 
   (8*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   (4*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 - 
   8*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, -1/2, 2}, Infinity] -> 
  (-143*S[-1, Infinity]^4)/432 - (35*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (109*S[2, Infinity]^2)/360 - (677*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (253*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 + 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (13*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (44*S[4, {-1/2}, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   (35*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   3*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (73*S[1, 3, {-1, 1/2}, Infinity])/6 - 11*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 + S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 - (179*S[-1, 1, 1, 1, Infinity])/9 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - S[1, 1, 2, {1/2, -1, 1/2}, 
    Infinity] - S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, -1/2, -2}, Infinity] -> 
  (-85*S[-1, Infinity]^4)/108 + (253*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (23*S[2, Infinity]^2)/72 + (1331*S[-1, Infinity]*S[3, Infinity])/144 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (95*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (1189*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (35*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (89*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (68*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (11*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (20*S[1, 3, {-1, 1/2}, Infinity])/3 + (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {-1/2, 1/2}, Infinity] - S[1, 3, {1/2, -1/2}, Infinity]/2 - 
   3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (9*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {1/2, -1/2}, Infinity] - 
   (52*S[-1, 1, 1, 1, Infinity])/9 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1, 1/2, 2, 1}, Infinity] -> (37*S[-1, Infinity]^4)/72 - 
   (31*S[-1, Infinity]^2*S[2, Infinity])/12 + (61*S[2, Infinity]^2)/120 - 
   (21*S[-1, Infinity]*S[3, Infinity])/4 - 8*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 18*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (43*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1/2, 2, -1}, Infinity] -> S[-1, Infinity]^4/72 - 
   (55*S[-1, Infinity]^2*S[2, Infinity])/12 + (109*S[2, Infinity]^2)/120 - 
   (21*S[-1, Infinity]*S[3, Infinity])/4 - 8*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 6*S[4, {-1/2}, Infinity] + 
   3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + (29*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1/2, 2, 1/2}, Infinity] -> (25*S[-1, Infinity]^4)/72 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/12 + (133*S[2, Infinity]^2)/120 - 
   (29*S[-1, Infinity]*S[3, Infinity])/4 + 8*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 14*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 8*S[1, 3, {-1, 1/2}, Infinity] - 
   8*S[1, 3, {-1/2, -2}, Infinity] - (19*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1/2, 2, -1/2}, Infinity] -> 
  (-9*S[-1, Infinity]^4)/8 + (85*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (93*S[2, Infinity]^2)/40 + (202*S[-1, Infinity]*S[3, Infinity])/9 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   8*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (117*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (32*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   16*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   18*S[4, {-1/2}, Infinity] - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   16*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (10*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   18*S[1, 3, {-1, 1/2}, Infinity] + 16*S[1, 3, {-1/2, -2}, Infinity] + 
   23*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, 1/2, -2, 1}, Infinity] -> 
  (14*S[-1, Infinity]^4)/27 - (97*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (43*S[2, Infinity]^2)/90 - (133*S[-1, Infinity]*S[3, Infinity])/36 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (37*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (8*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 - S[1, 3, {-1/2, -2}, Infinity] - 
   (46*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 1, 1, 1, {-1, 1/2, -2, -1}, Infinity] -> 
  (23*S[-1, Infinity]^4)/36 + (S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (37*S[2, Infinity]^2)/60 + (35*S[-1, Infinity]*S[3, Infinity])/36 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   33*S[4, {-1/2}, Infinity] - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   5*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (58*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1/2, -2, 1/2}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/9 - (67*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (223*S[2, Infinity]^2)/60 - (176*S[-1, Infinity]*S[3, Infinity])/9 - 
   (25*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (273*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (19*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   20*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   31*S[4, {-1/2}, Infinity] + 
   (53*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (35*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 5*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (14*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   21*S[1, 3, {-1, 1/2}, Infinity] - 20*S[1, 3, {-1/2, -2}, Infinity] - 
   (50*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, 1/2, -2, -1/2}, Infinity] -> 
  (53*S[-1, Infinity]^4)/108 + (23*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (101*S[2, Infinity]^2)/180 - (S[-1, Infinity]*S[3, Infinity])/18 + 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (83*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (5*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (14*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (25*S[4, {-1/2}, Infinity])/3 - 
   (19*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 + (50*S[-1, 1, 1, 1, Infinity])/9 + 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, -1/2, 1, 1}, Infinity] -> (13*S[-1, Infinity]^4)/72 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/6 - (19*S[2, Infinity]^2)/15 + 
   (33*S[-1, Infinity]*S[3, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (503*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (25*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   4*S[4, {-1/2}, Infinity] - 2*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (8*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {-1, -1/2, 1, -1}, Infinity] -> 
  S[-1, Infinity]^4/54 + (14*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (269*S[2, Infinity]^2)/360 + (68*S[-1, Infinity]*S[3, Infinity])/9 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (649*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (35*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (127*S[4, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (25*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   (26*S[1, 3, {-1, 1/2}, Infinity])/3 + (17*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (10*S[-1, 1, 1, 1, Infinity])/9 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1, -1/2, 1, 1/2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/216 + (35*S[-1, Infinity]^2*S[2, Infinity])/144 + 
   (79*S[2, Infinity]^2)/144 + (539*S[-1, Infinity]*S[3, Infinity])/96 + 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (1261*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   (59*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (53*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/8 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (29*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   (49*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    12 - (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   (37*S[1, 3, {-1, 1/2}, Infinity])/6 + (23*S[1, 3, {-1/2, -2}, Infinity])/
    4 + S[1, 3, {1/2, -1/2}, Infinity]/4 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/4 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 + S[-1, 1, 1, 1, Infinity]/18 - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity]/2 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/4 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/4 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 - 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, -1/2, 1, 2}, Infinity] -> (49*S[-1, Infinity]^4)/216 - 
   (17*S[-1, Infinity]^2*S[2, Infinity])/18 - (121*S[2, Infinity]^2)/180 - 
   (203*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (7*S[4, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 - S[1, 3, {-1/2, -2}, Infinity] - 
   (64*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {-1, -1/2, 1, -2}, Infinity] -> (-59*S[-1, Infinity]^4)/216 + 
   (S[-1, Infinity]^2*S[2, Infinity])/18 - (391*S[2, Infinity]^2)/180 + 
   (49*S[-1, Infinity]*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (5*S[4, {-1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 + 3*S[1, 3, {-1/2, -2}, Infinity] + 
   (8*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {-1, -1/2, -1, 1}, Infinity] -> (-19*S[-1, Infinity]^4)/72 + 
   (S[-1, Infinity]^2*S[2, Infinity])/3 - (43*S[2, Infinity]^2)/120 - 
   (199*S[-1, Infinity]*S[3, Infinity])/24 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (207*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (9*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (23*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   (101*S[4, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (33*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   13*S[1, 3, {-1, 1/2}, Infinity] - (23*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (49*S[-1, 1, 1, 1, Infinity])/3 - 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1, -1/2, -1, -1}, Infinity] -> 
  (-133*S[-1, Infinity]^4)/72 + S[-1, Infinity]^2*S[2, Infinity] + 
   (209*S[2, Infinity]^2)/120 - (557*S[-1, Infinity]*S[3, Infinity])/72 - 
   (19*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (221*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (22*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   16*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   65*S[4, {-1/2}, Infinity] + 
   (37*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (31*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 4*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   17*S[1, 3, {-1, 1/2}, Infinity] - 16*S[1, 3, {-1/2, -2}, Infinity] + 
   (55*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, -1/2, -1, 2}, Infinity] -> (25*S[-1, Infinity]^4)/36 + 
   (13*S[-1, Infinity]^2*S[2, Infinity])/12 - (4*S[2, Infinity]^2)/3 + 
   (161*S[-1, Infinity]*S[3, Infinity])/24 + 
   (17*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   6*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (143*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 10*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 41*S[4, {-1/2}, Infinity] - 
   6*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   12*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 11*S[1, 3, {-1, 1/2}, Infinity] + 
   10*S[1, 3, {-1/2, -2}, Infinity] - (29*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1, -1/2, -1, -2}, Infinity] -> 
  (31*S[-1, Infinity]^4)/72 - (S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (187*S[2, Infinity]^2)/120 + (77*S[-1, Infinity]*S[3, Infinity])/24 + 
   (25*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (147*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 + 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (17*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (29*S[4, {-1/2}, Infinity])/2 - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (9*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   7*S[1, 3, {-1, 1/2}, Infinity] + (11*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (11*S[-1, 1, 1, 1, Infinity])/3 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1, -1/2, 1/2, -1}, Infinity] -> 
  S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   S[2, Infinity]^2/8 - (4*S[-1, Infinity]*S[3, Infinity])/3 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 5*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + S[4, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - S[2, 2, {1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, 1}, Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, 
    Infinity] + 2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity] + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - 2*S[1, 1, 1, 1, {-1, -1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, -1/2, 1/2, -2}, Infinity] -> 
  (13*S[-1, Infinity]^4)/36 - (91*S[-1, Infinity]^2*S[2, Infinity])/24 - 
   (53*S[2, Infinity]^2)/60 - (649*S[-1, Infinity]*S[3, Infinity])/48 - 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (3277*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (29*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (167*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (61*S[4, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   6*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (95*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (13*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   17*S[1, 3, {-1, 1/2}, Infinity] - 13*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {1/2, -1/2}, Infinity]/2 + 4*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 
   (7*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - (14*S[-1, 1, 1, 1, Infinity])/3 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (13*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1, -1/2, -1/2, -1}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/72 - (7*S[-1, Infinity]^2*S[2, Infinity])/24 - 
   (19*S[2, Infinity]^2)/60 + (935*S[-1, Infinity]*S[3, Infinity])/144 + 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (1643*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (19*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (19*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (61*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (71*S[4, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   8*S[1, 3, {-1, 1/2}, Infinity] + 8*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {1/2, -1/2}, Infinity]/2 + S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - (31*S[-1, 1, 1, 1, Infinity])/3 + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - 2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1, -1/2, -1/2, 2}, Infinity] -> 
  (-95*S[-1, Infinity]^4)/216 + (25*S[-1, Infinity]^2*S[2, Infinity])/18 + 
   (901*S[2, Infinity]^2)/360 + (263*S[-1, Infinity]*S[3, Infinity])/24 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (1621*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (35*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (53*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (163*S[4, {-1/2}, Infinity])/6 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (19*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (11*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (35*S[1, 3, {-1, 1/2}, Infinity])/3 + (19*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {-1/2, 1/2}, Infinity] - S[1, 3, {1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   2*S[2, 2, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {1/2, -1/2}, Infinity] + 
   (17*S[-1, 1, 1, 1, Infinity])/9 - S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] + (13*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity] + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1, -1/2, 2, 1}, Infinity] -> -S[-1, Infinity]^4/24 - 
   (3*S[-1, Infinity]^2*S[2, Infinity])/4 + S[2, Infinity]^2/8 + 
   (35*S[-1, Infinity]*S[3, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {-1, -1/2, 2, -1}, Infinity] -> (11*S[-1, Infinity]^4)/24 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (19*S[2, Infinity]^2)/40 - 
   (133*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   13*S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 8*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 36*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 8*S[1, 3, {-1, 1/2}, Infinity] - 
   8*S[1, 3, {-1/2, -2}, Infinity] + 9*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {-1, -1/2, 2, 1/2}, Infinity] -> 
  (11*S[-1, Infinity]^4)/24 - (S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (19*S[2, Infinity]^2)/40 + (433*S[-1, Infinity]*S[3, Infinity])/72 + 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   13*S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 8*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 12*S[4, {-1/2}, Infinity] - 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + 2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   8*S[1, 3, {-1, 1/2}, Infinity] + 8*S[1, 3, {-1/2, -2}, Infinity] + 
   9*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1, -1/2, 2, -1/2}, 
   Infinity] -> (-7*S[-1, Infinity]^4)/72 - 
   (41*S[-1, Infinity]^2*S[2, Infinity])/12 - (367*S[2, Infinity]^2)/120 - 
   (265*S[-1, Infinity]*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (125*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (13*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   5*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (27*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   15*S[4, {-1/2}, Infinity] + 5*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 - 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 10*S[1, 3, {-1, 1/2}, Infinity] - 
   7*S[1, 3, {-1/2, -2}, Infinity] - (29*S[-1, 1, 1, 1, Infinity])/3 - 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1, -1/2, -2, 1}, Infinity] -> (-25*S[-1, Infinity]^4)/54 + 
   (49*S[-1, Infinity]^2*S[2, Infinity])/36 - (29*S[2, Infinity]^2)/45 - 
   (217*S[-1, Infinity]*S[3, Infinity])/72 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   11*S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (13*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (92*S[4, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (23*S[1, 3, {-1, 1/2}, Infinity])/3 - 7*S[1, 3, {-1/2, -2}, Infinity] + 
   (88*S[-1, 1, 1, 1, Infinity])/9 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1, -1/2, -2, -1}, Infinity] -> 
  (-89*S[-1, Infinity]^4)/108 + (37*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (7*S[2, Infinity]^2)/180 + (287*S[-1, Infinity]*S[3, Infinity])/72 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (5*S[4, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, 3, {-1, 1/2}, Infinity]/3 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (40*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {-1, -1/2, -2, 1/2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/108 + (61*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (119*S[2, Infinity]^2)/90 + (647*S[-1, Infinity]*S[3, Infinity])/72 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (26*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (52*S[4, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (14*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   (31*S[1, 3, {-1, 1/2}, Infinity])/3 + 9*S[1, 3, {-1/2, -2}, Infinity] + 
   (64*S[-1, 1, 1, 1, Infinity])/9 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1, -1/2, -2, -1/2}, Infinity] -> 
  (143*S[-1, Infinity]^4)/108 - (115*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (97*S[2, Infinity]^2)/180 - (187*S[-1, Infinity]*S[3, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (133*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   6*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   S[4, {-1/2}, Infinity]/3 - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (40*S[-1, 1, 1, 1, Infinity])/9 - 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, 1, 1}, Infinity] -> (7*S[2, Infinity]^2)/20, 
 S[1, 1, 1, 1, {1/2, 1, 1, -1}, Infinity] -> -S[-1, Infinity]^4/24 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (7*S[2, Infinity]^2)/20 - 
   S[4, {-1/2}, Infinity], S[1, 1, 1, 1, {1/2, 1, 1, 1/2}, Infinity] -> 
  (7*S[2, Infinity]^2)/20 + S[4, {-1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, 1, -1/2}, Infinity] -> (-53*S[-1, Infinity]^4)/432 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/2 - (29*S[2, Infinity]^2)/45 + 
   (443*S[-1, Infinity]*S[3, Infinity])/432 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (10*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (277*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 - 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (47*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (20*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (5*S[4, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (23*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 - 
   (7*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 - (2*S[1, 3, {-1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 3, {1/2, -1/2}, Infinity])/3 - 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 + S[2, 2, {1/2, -1/2}, Infinity]/3 - 
   (55*S[-1, 1, 1, 1, Infinity])/18 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/6 - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity]/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3, 
 S[1, 1, 1, 1, {1/2, 1, 1, 2}, Infinity] -> (3*S[2, Infinity]^2)/4, 
 S[1, 1, 1, 1, {1/2, 1, 1, -2}, Infinity] -> (5*S[-1, Infinity]^4)/108 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/9 - S[2, Infinity]^2/18 - 
   (7*S[-1, Infinity]*S[3, Infinity])/6 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (191*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (7*S[4, {-1/2}, Infinity])/3 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 - S[1, 3, {-1/2, -2}, Infinity] - 
   (16*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 1, 1, 1, {1/2, 1, -1, 1}, Infinity] -> 
  (5*S[-1, Infinity]^4)/24 - (51*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]*S[3, Infinity])/8 - S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 2*S[4, {-1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 3, {-1/2, -2}, Infinity] - 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, -1, -1}, Infinity] -> (5*S[-1, Infinity]^4)/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (41*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]*S[3, Infinity])/8 - S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 6*S[4, {-1/2}, Infinity] - 
   3*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {1/2, 1, -1, 1/2}, Infinity] -> 
  (-79*S[-1, Infinity]^4)/144 - (31*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (113*S[2, Infinity]^2)/30 - (1303*S[-1, Infinity]*S[3, Infinity])/432 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (77*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (2945*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 + 
   (37*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (43*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (43*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (65*S[4, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (5*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (73*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (38*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 + (2*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (4*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (19*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/6 - (9*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (5*S[1, 3, {-1/2, 1/2}, Infinity])/6 - S[1, 3, {1/2, -1/2}, Infinity]/
    3 + (25*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (2*S[2, 2, {-1/2, 1/2}, Infinity])/3 + (17*S[2, 2, {1/2, -1/2}, Infinity])/
    6 + 21*S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (8*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   2*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (4*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/3 + S[1, 1, 2, {-1/2, 1, 1/2}, 
    Infinity] + S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + (2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   (2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, -1, -1/2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/72 - (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (19*S[2, Infinity]^2)/24 - (21*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   3*S[3, Infinity]*S[1, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 10*S[4, {-1/2}, Infinity] - 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 4*S[1, 3, {-1, 1/2}, Infinity] - 
   3*S[1, 3, {-1/2, -2}, Infinity] + (4*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1, -1, 2}, Infinity] -> (-11*S[-1, Infinity]^4)/36 + 
   (S[-1, Infinity]^2*S[2, Infinity])/6 - (47*S[2, Infinity]^2)/24 - 
   (7*S[-1, Infinity]*S[3, Infinity])/72 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 9*S[4, {-1/2}, Infinity] + 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (13*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1, -1, -2}, Infinity] -> (5*S[-1, Infinity]^4)/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + (57*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 6*S[4, {-1/2}, Infinity] - 
   S[1, 3, {-1/2, -2}, Infinity] - 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, 1/2, 1}, Infinity] -> S[-1, Infinity]^4/24 - 
   S[2, Infinity]^2/40 + (7*S[-1, Infinity]*S[3, Infinity])/8 - 
   S[3, Infinity]*S[1, {-1/2}, Infinity] - S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 3*S[4, {-1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 3, {-1/2, -2}, Infinity] - 2*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, 1/2, -1}, Infinity] -> (5*S[-1, Infinity]^4)/54 + 
   (29*S[-1, Infinity]^2*S[2, Infinity])/16 - (893*S[2, Infinity]^2)/720 + 
   (1223*S[-1, Infinity]*S[3, Infinity])/432 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (79*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (2431*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 - 
   (37*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/36 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (53*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (53*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   (17*S[4, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (101*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/72 + 
   (31*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (28*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 1, {1/2, 1/2}, Infinity]^2)/3 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   (5*S[1, 3, {-1, 1/2}, Infinity])/3 + 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (2*S[1, 3, {-1/2, 1/2}, Infinity])/3 + (7*S[1, 3, {1/2, -1/2}, Infinity])/
    6 - (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (13*S[2, 2, {-1/2, 1/2}, Infinity])/12 + 
   (7*S[2, 2, {1/2, -1/2}, Infinity])/12 - (67*S[-1, 1, 1, 1, Infinity])/18 + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   (2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/3 + S[1, 1, 2, {-1/2, 1, 1/2}, 
    Infinity] - S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity]/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, 1/2, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4 + (14*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (74*S[-1, Infinity]*S[3, Infinity])/9 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (25*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (28*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (10*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   3*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1}, Infinity] - 
   S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] + 
   3*S[1, 1, 2, {-1/2, 1/2, -1/2}, Infinity] - 
   2*S[1, 1, 2, {1/2, 1/2, 1/2}, Infinity] - 
   3*S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] + 
   2*S[1, 2, 1, {-1/2, 1/2, -1/2}, Infinity] + S[1, 2, 1, {1/2, -1/2, -1/2}, 
    Infinity] - S[1, 1, 1, 1, {-1/2, -1/2, 1/2, 1}, Infinity] + 
   3*S[1, 1, 1, 1, {-1/2, -1/2, 1, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, -1/2, 1}, Infinity] - 
   3*S[1, 1, 1, 1, {-1/2, 1/2, 1, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, 1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {1/2, -1/2, -1/2, 1}, Infinity] + 
   3*S[1, 1, 1, 1, {1/2, 1/2, 1/2, 1}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, 1/2, -1/2}, Infinity] -> 
  (-121*S[-1, Infinity]^4)/216 - (119*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (163*S[2, Infinity]^2)/36 + (323*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (437*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (34*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (55*S[4, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (29*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (37*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (52*S[1, 3, {-1, 1/2}, Infinity])/3 + 14*S[1, 3, {-1/2, -2}, Infinity] + 
   4*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (154*S[-1, 1, 1, 1, Infinity])/9 - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, 1}, Infinity] - 
   (7*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {1/2, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 2, {1/2, 1/2, -1/2}, Infinity] - S[1, 2, 1, {-1/2, 1/2, 1/2}, 
    Infinity] + S[1, 2, 1, {1/2, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, 1, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {1/2, -1/2, 1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, 1/2, 2}, Infinity] -> S[-1, Infinity]^4/24 + 
   (7*S[2, Infinity]^2)/8 + (7*S[-1, Infinity]*S[3, Infinity])/8 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 3*S[4, {-1/2}, Infinity] - 
   2*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {1/2, 1, 1/2, -2}, Infinity] -> 
  (13*S[-1, Infinity]^4)/36 - (8*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (7*S[2, Infinity]^2)/120 - (49*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   3*S[3, Infinity]*S[1, {-1/2}, Infinity] - 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 3*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 4*S[1, 3, {-1, 1/2}, Infinity] - 
   3*S[1, 3, {-1/2, -2}, Infinity] - (17*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1, -1/2, 1}, Infinity] -> (3*S[-1, Infinity]^4)/16 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/8 - (23*S[2, Infinity]^2)/40 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (49*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   5*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/4 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (5*S[1, 3, {-1, 1/2}, Infinity])/2 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 + S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - S[2, 2, {1/2, -1/2}, Infinity]/2 - 
   2*S[-1, 1, 1, 1, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - S[1, 2, 1, {-1/2, 1/2, 1}, 
    Infinity] + S[1, 2, 1, {1/2, -1/2, 1}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {1/2, 1, -1/2, -1}, Infinity] -> 
  (101*S[-1, Infinity]^4)/216 - (59*S[-1, Infinity]^2*S[2, Infinity])/144 + 
   (397*S[2, Infinity]^2)/720 - (2425*S[-1, Infinity]*S[3, Infinity])/288 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (2125*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (35*S[-1, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (59*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (119*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/8 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 - 
   (8*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (73*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   (41*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    12 + (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/4 + 
   (3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (85*S[1, 3, {-1, 1/2}, Infinity])/6 - (47*S[1, 3, {-1/2, -2}, Infinity])/
    4 - S[1, 3, {1/2, -1/2}, Infinity]/4 + 
   (3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/4 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 + (71*S[-1, 1, 1, 1, Infinity])/18 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity]/2 + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 - 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/4 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/4 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 + 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 + 
   S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, -1/2, 1/2}, Infinity] -> 
  (13*S[-1, Infinity]^4)/108 - (101*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (16*S[2, Infinity]^2)/45 - (1115*S[-1, Infinity]*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (607*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (27*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (155*S[4, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (27*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (62*S[1, 3, {-1, 1/2}, Infinity])/3 - 18*S[1, 3, {-1/2, -2}, Infinity] + 
   2*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (16*S[-1, 1, 1, 1, Infinity])/9 - S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1}, Infinity] - 
   (7*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, 1/2, 1/2}, Infinity] - 
   2*S[1, 2, 1, {-1/2, 1/2, 1/2}, Infinity] + S[1, 2, 1, {1/2, -1/2, 1/2}, 
    Infinity] + S[1, 1, 1, 1, {-1/2, 1/2, 1, 1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, 1, 1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, -1/2, -1/2}, Infinity] -> 
  -S[-1, Infinity]^4/3 + (19*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (28*S[-1, Infinity]*S[3, Infinity])/9 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (25*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1}, Infinity] - 
   S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, -1/2}, 
    Infinity] - S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] + 
   S[1, 2, 1, {1/2, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1/2, 1, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, 1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, 1, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, -1/2, 2}, Infinity] -> (-245*S[-1, Infinity]^4)/432 + 
   (55*S[-1, Infinity]^2*S[2, Infinity])/9 - (139*S[2, Infinity]^2)/90 + 
   (1003*S[-1, Infinity]*S[3, Infinity])/144 - 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (23*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (925*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (61*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (55*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (23*S[4, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (9*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (11*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (7*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 - 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 + 2*S[1, 3, {-1/2, -2}, Infinity] - 
   2*S[1, 3, {-1/2, 1/2}, Infinity] + 2*S[1, 3, {1/2, -1/2}, Infinity] - 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity] - 
   (175*S[-1, 1, 1, 1, Infinity])/18 + 3*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, -1/2, -2}, Infinity] -> 
  (17*S[-1, Infinity]^4)/36 - (77*S[-1, Infinity]^2*S[2, Infinity])/24 + 
   (37*S[2, Infinity]^2)/12 - (41*S[-1, Infinity]*S[3, Infinity])/16 + 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (431*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (37*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (7*S[4, {-1/2}, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (3*S[1, 3, {-1, 1/2}, Infinity])/2 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   4*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity]/2 + 
   (55*S[-1, 1, 1, 1, Infinity])/6 - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   3*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, 1/2, -2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, 2, 1}, Infinity] -> (3*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, 1, 2, -1}, Infinity] -> S[-1, Infinity]^4/2 + 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + (3*S[2, Infinity]^2)/8 + 
   (91*S[-1, Infinity]*S[3, Infinity])/36 + 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (14*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + 2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1, 2, 1/2}, Infinity] -> -S[2, Infinity]^2/8 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, 1, 2, -1/2}, Infinity] -> 
  -S[-1, Infinity]^4/24 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]*S[3, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   S[3, Infinity]*S[1, {-1/2}, Infinity] - S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2, 
 S[1, 1, 1, 1, {1/2, 1, -2, 1}, Infinity] -> (-2*S[-1, Infinity]^4)/27 - 
   (37*S[-1, Infinity]^2*S[2, Infinity])/18 - (68*S[2, Infinity]^2)/45 - 
   (35*S[-1, Infinity]*S[3, Infinity])/6 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (359*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (8*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (17*S[4, {-1/2}, Infinity])/3 + 2*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 - 3*S[1, 3, {-1/2, -2}, Infinity] - 
   (50*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1, -2, -1}, Infinity] -> S[-1, Infinity]^4/54 + 
   (49*S[-1, Infinity]^2*S[2, Infinity])/18 - (11*S[2, Infinity]^2)/90 + 
   (28*S[-1, Infinity]*S[3, Infinity])/9 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (7*S[4, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (5*S[1, 3, {-1, 1/2}, Infinity])/3 + 3*S[1, 3, {-1/2, -2}, Infinity] + 
   (62*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {1/2, 1, -2, 1/2}, Infinity] -> (2*S[-1, Infinity]^4)/27 - 
   (49*S[-1, Infinity]^2*S[2, Infinity])/36 + (317*S[2, Infinity]^2)/180 - 
   (397*S[-1, Infinity]*S[3, Infinity])/72 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (521*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (21*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   (53*S[4, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (35*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   (19*S[1, 3, {-1, 1/2}, Infinity])/3 - (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (58*S[-1, 1, 1, 1, Infinity])/9 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, 1, -2, -1/2}, Infinity] -> 
  (-13*S[-1, Infinity]^4)/108 + (19*S[-1, Infinity]^2*S[2, Infinity])/18 - 
   (127*S[2, Infinity]^2)/180 + (28*S[-1, Infinity]*S[3, Infinity])/9 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (25*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (2*S[4, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   (5*S[1, 3, {-1, 1/2}, Infinity])/3 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (38*S[-1, 1, 1, 1, Infinity])/9 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {1/2, -1, 1, 1}, Infinity] -> -S[-1, Infinity]^4/6 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + S[2, Infinity]^2/5 + 
   (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (5*S[4, {-1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1/2, -2}, Infinity]/2 + 3*S[-1, 1, 1, 1, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[1, 1, 1, 1, {1/2, -1, 1, -1}, Infinity] -> -S[-1, Infinity]^4/3 + 
   (2*S[-1, Infinity]^2*S[2, Infinity])/3 + (3*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]*S[3, Infinity])/18 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 3*S[4, {-1/2}, Infinity] + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   3*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {1/2, -1, 1, 1/2}, Infinity] -> 
  (25*S[-1, Infinity]^4)/72 + (215*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (141*S[2, Infinity]^2)/40 + (1135*S[-1, Infinity]*S[3, Infinity])/432 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (77*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (1135*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 - 
   (37*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (55*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (77*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (59*S[4, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (49*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 + 
   (43*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (91*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 - (2*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (11*S[1, 1, {1/2, 1/2}, Infinity]^2)/6 - 
   (11*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   (2*S[1, 3, {-1, 1/2}, Infinity])/3 + (5*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 - S[1, 3, {1/2, -1/2}, Infinity]/6 - 
   (14*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   (2*S[2, 2, {-1/2, 1/2}, Infinity])/3 - (7*S[2, 2, {1/2, -1/2}, Infinity])/
    3 - (65*S[-1, 1, 1, 1, Infinity])/3 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   2*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (4*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - (2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   (2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 - 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, 1, -1/2}, Infinity] -> 
  (-61*S[-1, Infinity]^4)/216 + (31*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (43*S[2, Infinity]^2)/180 + (427*S[-1, Infinity]*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (347*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (107*S[4, {-1/2}, Infinity])/6 + 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (17*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   (19*S[1, 3, {-1, 1/2}, Infinity])/3 + (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (14*S[-1, 1, 1, 1, Infinity])/9 + 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, -1, 1, 2}, Infinity] -> (13*S[-1, Infinity]^4)/72 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + (23*S[2, Infinity]^2)/24 + 
   (49*S[-1, Infinity]*S[3, Infinity])/36 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 9*S[4, {-1/2}, Infinity] - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (13*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, 1, -2}, Infinity] -> -S[-1, Infinity]^4/3 + 
   (2*S[-1, Infinity]^2*S[2, Infinity])/3 + (21*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]*S[3, Infinity])/18 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   3*S[4, {-1/2}, Infinity] + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   3*S[-1, 1, 1, 1, Infinity] + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {1/2, -1, -1, 1}, Infinity] -> (-17*S[-1, Infinity]^4)/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/12 - (131*S[2, Infinity]^2)/120 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4 + 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 9*S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (14*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, -1, -1}, Infinity] -> (-17*S[-1, Infinity]^4)/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + (23*S[2, Infinity]^2)/15 + 
   (S[-1, Infinity]*S[3, Infinity])/4 + 2*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 4*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (14*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, -1, 1/2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/24 + (5*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (3*S[2, Infinity]^2)/4 + (21*S[-1, Infinity]*S[3, Infinity])/4 - 
   6*S[3, Infinity]*S[1, {-1/2}, Infinity] + 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 27*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   6*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 8*S[1, 3, {-1, 1/2}, Infinity] + 
   6*S[1, 3, {-1/2, -2}, Infinity] - 8*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, -1, -1/2}, Infinity] -> 
  (137*S[-1, Infinity]^4)/108 - (511*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (943*S[2, Infinity]^2)/180 - (1051*S[-1, Infinity]*S[3, Infinity])/432 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (19*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (439*S[3, Infinity]*S[1, {-1/2}, Infinity])/27 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (16*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (295*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (37*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   61*S[4, {-1/2}, Infinity] - 
   (4*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (19*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 + 
   (215*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (47*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 - (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (11*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/6 + 
   (14*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (16*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (11*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   13*S[1, 3, {-1, 1/2}, Infinity] + (29*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (2*S[1, 3, {-1/2, 1/2}, Infinity])/3 - (11*S[1, 3, {1/2, -1/2}, Infinity])/
    6 + (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   (5*S[2, 2, {-1/2, 1/2}, Infinity])/3 - (11*S[2, 2, {1/2, -1/2}, Infinity])/
    3 - (259*S[-1, 1, 1, 1, Infinity])/9 - 4*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (8*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   5*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (8*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   (7*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   (7*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/6 - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + 
   3*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   (4*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   (2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 - 
   4*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, -1, 2}, Infinity] -> (-17*S[-1, Infinity]^4)/72 + 
   (S[-1, Infinity]^2*S[2, Infinity])/6 + (17*S[2, Infinity]^2)/60 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4 + 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 6*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + (14*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, -1, -2}, Infinity] -> (13*S[-1, Infinity]^4)/72 + 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (11*S[2, Infinity]^2)/30 + 
   (161*S[-1, Infinity]*S[3, Infinity])/18 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (10*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   10*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   28*S[4, {-1/2}, Infinity] - 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   10*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   10*S[1, 3, {-1, 1/2}, Infinity] + 10*S[1, 3, {-1/2, -2}, Infinity] + 
   (2*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, 1/2, 1}, Infinity] -> (13*S[-1, Infinity]^4)/24 - 
   (383*S[-1, Infinity]^2*S[2, Infinity])/72 + (97*S[2, Infinity]^2)/48 - 
   (505*S[-1, Infinity]*S[3, Infinity])/432 + 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (1361*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 + 
   (41*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/36 - 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/18 - 
   (163*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (65*S[4, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    6 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    2 - (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]^2/4 + 
   (31*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 + 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (29*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 + (47*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 + 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 + 
   (29*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (25*S[1, 3, {-1, 1/2}, Infinity])/3 + (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (2*S[1, 3, {-1/2, 1/2}, Infinity])/3 - 
   (7*S[1, 3, {1/2, -1/2}, Infinity])/3 + 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (13*S[2, 2, {-1/2, 1/2}, Infinity])/6 + 
   (13*S[2, 2, {1/2, -1/2}, Infinity])/3 + (37*S[-1, 1, 1, 1, Infinity])/3 - 
   3*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (8*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/6 - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 1}, Infinity]/2 + 
   (2*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/3 + S[1, 1, 2, {-1/2, 1, 1/2}, 
    Infinity] + (3*S[1, 1, 2, {1/2, -1, 1/2}, Infinity])/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/2 + S[1, 2, 1, {-1/2, 1/2, 1}, 
    Infinity] - S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, 1}, Infinity] + 
   (2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {1/2, -1, 1/2, -1}, Infinity] -> 
  (65*S[-1, Infinity]^4)/108 - (40*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (43*S[2, Infinity]^2)/72 - (11*S[-1, Infinity]*S[3, Infinity])/18 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (2021*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (19*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (44*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (337*S[4, {-1/2}, Infinity])/6 + 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (45*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (47*S[1, 3, {-1, 1/2}, Infinity])/3 + (25*S[1, 3, {-1/2, -2}, Infinity])/
    2 - 3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (145*S[-1, 1, 1, 1, Infinity])/9 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] + (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 - 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, 1/2, 1/2}, Infinity] -> 
  (43*S[-1, Infinity]^4)/144 - (103*S[-1, Infinity]^2*S[2, Infinity])/8 + 
   (53*S[2, Infinity]^2)/30 - (5*S[-1, Infinity]*S[3, Infinity])/18 + 
   (15*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   9*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (631*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (31*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (9*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (83*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (27*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   60*S[4, {-1/2}, Infinity] - 
   (9*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (20*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (71*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (137*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + 4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (9*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (9*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (9*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (17*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (53*S[1, 3, {-1, 1/2}, Infinity])/2 + 19*S[1, 3, {-1/2, -2}, Infinity] + 
   (3*S[1, 3, {-1/2, 1/2}, Infinity])/2 - (9*S[1, 3, {1/2, -1/2}, Infinity])/
    2 + 11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   3*S[2, 2, {-1/2, 1/2}, Infinity] - (3*S[2, 2, {1/2, -1/2}, Infinity])/2 + 
   (37*S[-1, 1, 1, 1, Infinity])/3 - 10*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] - 9*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   4*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   3*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + 
   (5*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 + S[1, 1, 2, {-1/2, 1/2, 1/2}, 
    Infinity] + (3*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/2 + 
   2*S[1, 1, 2, {1/2, -1, 1/2}, Infinity] + S[1, 1, 2, {1/2, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {1/2, 1/2, -1/2}, Infinity] + 
   3*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + S[1, 2, 1, {-1/2, 1/2, 1/2}, 
    Infinity] - S[1, 2, 1, {1/2, -1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] + 
   S[1, 1, 1, 1, {-1, 1/2, -1/2, -1/2}, Infinity] - 
   3*S[1, 1, 1, 1, {-1, 1/2, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1, -1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1, 1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, 1/2, -1/2}, Infinity] -> 
  -S[-1, Infinity]^4/12 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (7*S[-1, Infinity]*S[3, Infinity])/3 + S[-1, Infinity]^3*
    S[1, {-1/2}, Infinity] + (9*S[-1, Infinity]*S[2, Infinity]*
     S[1, {-1/2}, Infinity])/4 + (21*S[3, Infinity]*S[1, {-1/2}, Infinity])/
    8 + (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, 
      Infinity])/2 - (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (9*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 + S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {1/2, -1/2, -1/2}, Infinity] + S[1, 1, 2, {1/2, 1/2, 1/2}, 
    Infinity] + S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] - 
   S[1, 2, 1, {1/2, -1/2, -1/2}, Infinity] + 
   3*S[1, 1, 1, 1, {-1, -1/2, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1/2, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1/2, 1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, 1/2, 2}, Infinity] -> (-47*S[-1, Infinity]^4)/216 - 
   (695*S[-1, Infinity]^2*S[2, Infinity])/72 + (1219*S[2, Infinity]^2)/360 + 
   (419*S[-1, Infinity]*S[3, Infinity])/144 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (41*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 2*S[-1, Infinity]*
    S[1, {-1/2}, Infinity]^3 - (103*S[-1, Infinity]*S[3, {-1/2}, Infinity])/
    6 + (39*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (116*S[4, {-1/2}, Infinity])/3 - 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (43*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (59*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (77*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + 2*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (9*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (15*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   3*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   7*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (50*S[1, 3, {-1, 1/2}, Infinity])/3 + (23*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {-1/2, 1/2}, Infinity] - (5*S[1, 3, {1/2, -1/2}, Infinity])/
    2 + 12*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   3*S[2, 2, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {1/2, -1/2}, Infinity] + 
   (140*S[-1, 1, 1, 1, Infinity])/9 - 8*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 8*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + 2*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   (3*S[1, 1, 2, {1/2, -1, 1/2}, Infinity])/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + 2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, 1/2, -2}, Infinity] -> 
  (-91*S[-1, Infinity]^4)/216 + (611*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (83*S[2, Infinity]^2)/45 + (385*S[-1, Infinity]*S[3, Infinity])/144 - 
   S[-1, Infinity]^3*S[1, {-1/2}, Infinity] - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (79*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (15*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (35*S[4, {-1/2}, Infinity])/3 + 3*S[-1, Infinity]^2*
    S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (19*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (37*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (23*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (9*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (23*S[1, 3, {-1, 1/2}, Infinity])/3 - (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {1/2, -1/2}, Infinity]/2 - 10*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - (146*S[-1, 1, 1, 1, Infinity])/9 + 
   6*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   7*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - 2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, -1/2, 1}, Infinity] -> 
  (95*S[-1, Infinity]^4)/216 + (11*S[-1, Infinity]^2*S[2, Infinity])/18 - 
   (53*S[2, Infinity]^2)/45 + (35*S[-1, Infinity]*S[3, Infinity])/8 + 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (439*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 - 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (13*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (143*S[4, {-1/2}, Infinity])/6 - 3*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] + 
   (27*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   (25*S[1, 3, {-1, 1/2}, Infinity])/3 + (13*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (44*S[-1, 1, 1, 1, Infinity])/9 - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[1, 1, 1, 1, {1/2, -1, -1/2, -1}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/4 + (13*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (22*S[-1, Infinity]*S[3, Infinity])/3 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   7*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 3*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, 1/2}, 
    Infinity] - S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, -1/2, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/6 + (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (7*S[-1, Infinity]*S[3, Infinity])/6 - S[-1, Infinity]^3*
    S[1, {-1/2}, Infinity] - (S[-1, Infinity]*S[2, Infinity]*
     S[1, {-1/2}, Infinity])/2 - (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/
    2 + (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   3*S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, -1/2}, 
    Infinity] - 2*S[1, 1, 2, {1/2, 1/2, 1/2}, Infinity] - 
   3*S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] + 
   2*S[1, 2, 1, {-1/2, 1/2, -1/2}, Infinity] + S[1, 2, 1, {1/2, -1/2, -1/2}, 
    Infinity] - S[1, 1, 1, 1, {-1/2, -1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, -1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, 1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, -1/2, -1/2}, Infinity] -> 
  (-287*S[-1, Infinity]^4)/144 + (445*S[-1, Infinity]^2*S[2, Infinity])/24 - 
   (173*S[2, Infinity]^2)/15 + (3485*S[-1, Infinity]*S[3, Infinity])/72 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (41*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (1187*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   (31*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (41*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (97*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   80*S[4, {-1/2}, Infinity] + 
   (11*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (20*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (181*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (137*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (9*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (9*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (11*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   8*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (99*S[1, 3, {-1, 1/2}, Infinity])/2 + 45*S[1, 3, {-1/2, -2}, Infinity] - 
   (3*S[1, 3, {-1/2, 1/2}, Infinity])/2 + (9*S[1, 3, {1/2, -1/2}, Infinity])/
    2 - (25*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   3*S[2, 2, {-1/2, 1/2}, Infinity] + (3*S[2, 2, {1/2, -1/2}, Infinity])/2 + 
   (55*S[-1, 1, 1, 1, Infinity])/3 + 9*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 9*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   4*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + 
   3*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + S[1, 1, 2, {-1/2, -1/2, -1/2}, 
    Infinity] - (5*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 - 
   (3*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/2 - 
   2*S[1, 1, 2, {1/2, -1, 1/2}, Infinity] + 
   2*S[1, 1, 2, {1/2, 1/2, -1/2}, Infinity] - 
   3*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + S[1, 2, 1, {-1/2, 1/2, 1/2}, 
    Infinity] + S[1, 2, 1, {1/2, -1/2, 1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1, -1/2, 2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/36 + (S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (103*S[2, Infinity]^2)/60 + (77*S[-1, Infinity]*S[3, Infinity])/24 + 
   S[-1, Infinity]^3*S[1, {-1/2}, Infinity] - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (91*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 6*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 13*S[4, {-1/2}, Infinity] - 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 7*S[1, 3, {-1, 1/2}, Infinity] + 
   6*S[1, 3, {-1/2, -2}, Infinity] + (2*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, -1/2, -2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/6 - (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   S[2, Infinity]^2/4 - (7*S[-1, Infinity]*S[3, Infinity])/18 + 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (31*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (601*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (53*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (21*S[4, {-1/2}, Infinity])/2 - 
   (8*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (13*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   2*S[1, 3, {-1, 1/2}, Infinity] + S[1, 3, {-1/2, -2}, Infinity]/2 - 
   3*S[-1, 1, 1, 1, Infinity] - (7*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, -1, 2, 1}, Infinity] -> (-13*S[-1, Infinity]^4)/36 + 
   (55*S[-1, Infinity]^2*S[2, Infinity])/12 - (149*S[2, Infinity]^2)/120 + 
   (287*S[-1, Infinity]*S[3, Infinity])/36 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (34*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   24*S[4, {-1/2}, Infinity] - 
   (10*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (56*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, 2, -1}, Infinity] -> (19*S[-1, Infinity]^4)/36 - 
   (23*S[-1, Infinity]^2*S[2, Infinity])/12 + (59*S[2, Infinity]^2)/120 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 6*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 24*S[4, {-1/2}, Infinity] + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - (56*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, 2, 1/2}, Infinity] -> (-41*S[-1, Infinity]^4)/72 + 
   (8*S[-1, Infinity]^2*S[2, Infinity])/3 - (163*S[2, Infinity]^2)/60 + 
   (23*S[-1, Infinity]*S[3, Infinity])/2 - 10*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 4*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   10*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 10*S[1, 3, {-1, 1/2}, Infinity] + 
   10*S[1, 3, {-1/2, -2}, Infinity] + (32*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, 2, -1/2}, Infinity] -> 
  (71*S[-1, Infinity]^4)/72 - (11*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (163*S[2, Infinity]^2)/60 - (49*S[-1, Infinity]*S[3, Infinity])/4 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   6*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 10*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 10*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 10*S[1, 3, {-1, 1/2}, Infinity] - 
   10*S[1, 3, {-1/2, -2}, Infinity] - (32*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, -2, 1}, Infinity] -> (5*S[-1, Infinity]^4)/36 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 + (7*S[2, Infinity]^2)/30 - 
   (7*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (971*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (13*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (31*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (29*S[4, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + (5*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (10*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    4, S[1, 1, 1, 1, {1/2, -1, -2, -1}, Infinity] -> 
  (-167*S[-1, Infinity]^4)/72 + (S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (349*S[2, Infinity]^2)/120 - (203*S[-1, Infinity]*S[3, Infinity])/72 - 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (91*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   14*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   56*S[4, {-1/2}, Infinity] + 
   (67*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (25*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (13*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   14*S[1, 3, {-1, 1/2}, Infinity] - 14*S[1, 3, {-1/2, -2}, Infinity] + 
   (62*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, -2, 1/2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/36 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (28*S[2, Infinity]^2)/15 - (7*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   10*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (10*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -1, -2, -1/2}, Infinity] -> 
  (11*S[-1, Infinity]^4)/36 - (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (19*S[2, Infinity]^2)/30 + (25*S[-1, Infinity]*S[3, Infinity])/18 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (431*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   16*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (10*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, 1, 1}, Infinity] -> (19*S[-1, Infinity]^4)/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (11*S[2, Infinity]^2)/120 - 
   (91*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (109*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (3*S[4, {-1/2}, Infinity])/2 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1/2, -2}, Infinity]/2 - (10*S[-1, 1, 1, 1, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[1, 1, 1, 1, {1/2, 1/2, 1, -1}, Infinity] -> (307*S[-1, Infinity]^4)/864 - 
   (227*S[-1, Infinity]^2*S[2, Infinity])/288 - (1109*S[2, Infinity]^2)/
    1440 - (349*S[-1, Infinity]*S[3, Infinity])/96 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (71*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   (9*S[-1, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (47*S[4, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 - 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/16 - 
   (23*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/16 - 
   (3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 + (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (11*S[1, 1, {1/2, 1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (17*S[1, 3, {-1, 1/2}, Infinity])/6 - (7*S[1, 3, {-1/2, -2}, Infinity])/
    4 + S[1, 3, {1/2, -1/2}, Infinity]/2 - S[2, 2, {-1/2, 1/2}, Infinity]/8 - 
   (17*S[2, 2, {1/2, -1/2}, Infinity])/8 - (197*S[-1, 1, 1, 1, Infinity])/
    18 + S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1, 1/2, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 - 
   S[1, 1, 2, {-1/2, 1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 + 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {1/2, 1/2, 1, 1/2}, Infinity] -> 
  (2*S[-1, Infinity]^4)/3 - (7*S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (25*S[-1, Infinity]*S[3, Infinity])/4 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (25*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   7*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1}, Infinity] + 
   S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {-1/2, 1/2, -1/2}, Infinity] + S[1, 1, 2, {1/2, 1/2, 1/2}, 
    Infinity] + S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] - 
   S[1, 2, 1, {-1/2, 1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1/2, 1/2, 1}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1/2, 1, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, 1/2, -1/2, 1}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, 1/2, 1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1, -1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, 1, 1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {1/2, -1/2, -1/2, 1}, Infinity] - 
   3*S[1, 1, 1, 1, {1/2, 1/2, 1/2, 1}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, 1, -1/2}, Infinity] -> 
  (-13*S[-1, Infinity]^4)/108 + (101*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (16*S[2, Infinity]^2)/45 + (1115*S[-1, Infinity]*S[3, Infinity])/72 + 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (1595*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (61*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (155*S[4, {-1/2}, Infinity])/3 - 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   14*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (62*S[1, 3, {-1, 1/2}, Infinity])/3 + 18*S[1, 3, {-1/2, -2}, Infinity] - 
   2*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (16*S[-1, 1, 1, 1, Infinity])/9 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   (7*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {1/2, 1/2, -1/2}, Infinity] + S[1, 2, 1, {-1/2, 1/2, 1/2}, 
    Infinity] - S[1, 1, 1, 1, {-1/2, 1, 1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, 1, 2}, Infinity] -> (19*S[-1, Infinity]^4)/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (19*S[2, Infinity]^2)/24 - 
   (91*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (10*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1/2, 1, -2}, Infinity] -> (31*S[-1, Infinity]^4)/216 + 
   (29*S[-1, Infinity]^2*S[2, Infinity])/36 - (413*S[2, Infinity]^2)/360 + 
   (133*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (109*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 - 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (13*S[4, {-1/2}, Infinity])/6 - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   (5*S[1, 3, {-1, 1/2}, Infinity])/3 + (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (8*S[-1, 1, 1, 1, Infinity])/9 - 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, 1/2, -1, 1}, Infinity] -> (-463*S[-1, Infinity]^4)/432 + 
   (365*S[-1, Infinity]^2*S[2, Infinity])/72 + (83*S[2, Infinity]^2)/288 + 
   (151*S[-1, Infinity]*S[3, Infinity])/54 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (137*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (2399*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 - 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/72 + 
   (9*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/18 + 
   (100*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (83*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/36 - 
   (131*S[4, {-1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (7*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/24 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    12 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (3*S[1, 1, {-1/2, 1/2}, Infinity]^2)/8 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    4 + (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/4 + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/8 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (155*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (85*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    36 - (43*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/24 - 
   (35*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/18 + 
   (11*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (13*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/12 - 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (17*S[1, 3, {-1, 1/2}, Infinity])/2 - 7*S[1, 3, {-1/2, -2}, Infinity] + 
   (5*S[1, 3, {-1/2, 1/2}, Infinity])/6 + (23*S[1, 3, {1/2, -1/2}, Infinity])/
    12 - (4*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (11*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/12 - 
   (13*S[2, 2, {-1/2, 1/2}, Infinity])/12 - S[2, 2, {1/2, -1/2}, Infinity]/
    6 + (187*S[-1, 1, 1, 1, Infinity])/18 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   (3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity])/2 + 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/6 - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, 1}, Infinity]/4 - 
   (13*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/12 - 
   S[1, 1, 2, {-1/2, 1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/4 - 
   (3*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity])/2 - 
   S[1, 2, 1, {-1/2, 1/2, 1}, Infinity] + S[1, 2, 1, {1/2, -1/2, 1}, 
    Infinity] + (2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, 1}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {1/2, 1/2, -1, -1}, Infinity] -> 
  (-2*S[-1, Infinity]^4)/9 + (37*S[-1, Infinity]^2*S[2, Infinity])/24 + 
   (16*S[2, Infinity]^2)/15 - (917*S[-1, Infinity]*S[3, Infinity])/144 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (2507*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (19*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (55*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (61*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (109*S[4, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   14*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   16*S[1, 3, {-1, 1/2}, Infinity] - 14*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] + (31*S[-1, 1, 1, 1, Infinity])/3 - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + 2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -1, 1/2}, Infinity] -> 
  (-61*S[-1, Infinity]^4)/36 + (82*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (101*S[2, Infinity]^2)/12 + (839*S[-1, Infinity]*S[3, Infinity])/36 - 
   (37*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   23*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (421*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (55*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (17*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   8*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (139*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   44*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   50*S[4, {-1/2}, Infinity] + 5*S[-1, Infinity]^2*
    S[1, 1, {-1/2, 1/2}, Infinity] + 
   (3*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (34*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (128*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 8*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   9*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (16*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   9*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   16*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   8*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   15*S[1, 3, {-1, 1/2}, Infinity] - 6*S[1, 3, {-1/2, -2}, Infinity] - 
   3*S[1, 3, {-1/2, 1/2}, Infinity] + 9*S[1, 3, {1/2, -1/2}, Infinity] - 
   22*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   6*S[2, 2, {-1/2, 1/2}, Infinity] + 3*S[2, 2, {1/2, -1/2}, Infinity] - 
   (28*S[-1, 1, 1, 1, Infinity])/3 + 18*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 8*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 4*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] + 17*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   6*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   8*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + 
   6*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   5*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, 1/2}, 
    Infinity] - 3*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] - 
   4*S[1, 1, 2, {1/2, -1, 1/2}, Infinity] - S[1, 1, 2, {1/2, -1/2, 1/2}, 
    Infinity] + 2*S[1, 1, 2, {1/2, 1/2, -1/2}, Infinity] - 
   6*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - S[1, 2, 1, {-1/2, 1/2, 1/2}, 
    Infinity] + 2*S[1, 2, 1, {1/2, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, -1/2}, Infinity] - 
   4*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1/2, -1/2, -1/2}, Infinity] + 
   3*S[1, 1, 1, 1, {-1, 1/2, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -1, -1/2}, Infinity] -> 
  S[-1, Infinity]^4/3 + (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (5*S[-1, Infinity]*S[3, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (21*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] + (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {1/2, 1/2}, Infinity])/2 - S[1, {-1/2}, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] + S[1, 1, 2, {1/2, 1/2, 1/2}, 
    Infinity] + S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] - 
   S[1, 2, 1, {-1/2, 1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -1, 2}, Infinity] -> (205*S[-1, Infinity]^4)/432 + 
   (22*S[-1, Infinity]^2*S[2, Infinity])/9 - (5*S[2, Infinity]^2)/72 - 
   (599*S[-1, Infinity]*S[3, Infinity])/72 - 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (27*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (53*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 2*S[-1, Infinity]*
    S[1, {-1/2}, Infinity]^3 + (13*S[-1, Infinity]*S[3, {-1/2}, Infinity])/
    3 - (27*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (71*S[4, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (25*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (29*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 2*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (17*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (5*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (79*S[1, 3, {-1, 1/2}, Infinity])/6 - 11*S[1, 3, {-1/2, -2}, Infinity] - 
   (3*S[1, 3, {-1/2, 1/2}, Infinity])/2 + (7*S[1, 3, {1/2, -1/2}, Infinity])/
    2 - (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   2*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (5*S[2, 2, {-1/2, 1/2}, Infinity])/2 - (110*S[-1, 1, 1, 1, Infinity])/9 + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - S[1, 1, 2, {1/2, -1, 1/2}, 
    Infinity] - S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -1, -2}, Infinity] -> 
  S[-1, Infinity]^4/12 - (5*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (17*S[2, Infinity]^2)/8 + (109*S[-1, Infinity]*S[3, Infinity])/36 + 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   6*S[4, {-1/2}, Infinity] - 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   S[1, 3, {-1, 1/2}, Infinity] + S[1, 3, {-1/2, 1/2}, Infinity] - 
   S[1, 3, {1/2, -1/2}, Infinity] + 
   (7*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   2*S[2, 2, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity] + 
   14*S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   3*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, 
    Infinity], S[1, 1, 1, 1, {1/2, 1/2, 1/2, -1}, Infinity] -> 
  (35*S[-1, Infinity]^4)/16 - (371*S[-1, Infinity]^2*S[2, Infinity])/24 + 
   (173*S[2, Infinity]^2)/20 - (829*S[-1, Infinity]*S[3, Infinity])/36 + 
   (29*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   14*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (491*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 + 
   (35*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (56*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (61*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   44*S[4, {-1/2}, Infinity] - 
   (11*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, 
      Infinity])/3 + 3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (55*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (119*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + 4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (9*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (9*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (9*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (13*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (23*S[1, 3, {-1, 1/2}, Infinity])/2 - 13*S[1, 3, {-1/2, -2}, Infinity] + 
   (3*S[1, 3, {-1/2, 1/2}, Infinity])/2 - (9*S[1, 3, {1/2, -1/2}, Infinity])/
    2 + 10*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   3*S[2, 2, {-1/2, 1/2}, Infinity] - (3*S[2, 2, {1/2, -1/2}, Infinity])/2 - 
   45*S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 8*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1/2, -1/2, 1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, -1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, -1/2}, Infinity])/3 + 
   3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   4*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   3*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + 
   (5*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/2 + 
   2*S[1, 1, 2, {1/2, -1, 1/2}, Infinity] - S[1, 1, 2, {1/2, 1/2, -1/2}, 
    Infinity] + 3*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 2, 1, {1/2, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1/2, 1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, 1/2, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/12 - (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   S[2, Infinity]^2/2 + (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   16*S[4, {-1/2}, Infinity] + (S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    3 + (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 2*S[2, 2, {-1/2, 1/2}, Infinity] + 
   2*S[2, 2, {1/2, -1/2}, Infinity] - 16*S[-1, 1, 1, 1, Infinity] - 
   (S[-1, Infinity]*S[1, 1, 1, {-1/2, -1/2, 1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, -1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1/2, 1/2, -1/2}, Infinity] -> 
  S[-1, Infinity]^4 - 4*S[-1, Infinity]^2*S[2, Infinity] - 
   (49*S[-1, Infinity]*S[3, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   12*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/6 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1/2, 1/2}, Infinity])/
    3 - (2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, 1/2, -1/2}, Infinity])/
    3 - (2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {1/2, -1/2, -1/2}, Infinity])/
    3 + S[1, 1, 1, 1, {-1/2, -1/2, -1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1/2, 1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, 1/2, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {1/2, -1/2, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {1/2, -1/2, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {1/2, 1/2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, 1/2, 2}, Infinity] -> 
  (19*S[-1, Infinity]^4)/216 + (35*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (299*S[2, Infinity]^2)/360 - (133*S[-1, Infinity]*S[3, Infinity])/432 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (67*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (17*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 7*S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/6 - 
   (23*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/6 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 - S[1, 3, {-1/2, -2}, Infinity]/2 + 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 + S[1, 3, {1/2, -1/2}, Infinity]/6 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 - (2*S[2, 2, {1/2, -1/2}, Infinity])/3 + 
   (26*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1, -1/2, 1/2}, Infinity]/
    3 - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity]/3 - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/6 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/6 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/6 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/6 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/6 + 
   S[1, 1, 1, 1, {-1/2, -1/2, 1/2, 2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1/2, 1/2, -1/2, 2}, Infinity]/3 + 
   S[1, 1, 1, 1, {1/2, -1/2, -1/2, 2}, Infinity]/3, 
 S[1, 1, 1, 1, {1/2, 1/2, 1/2, -2}, Infinity] -> 
  (487*S[-1, Infinity]^4)/1296 - (203*S[-1, Infinity]^2*S[2, Infinity])/54 - 
   (3901*S[2, Infinity]^2)/1080 - (3115*S[-1, Infinity]*S[3, Infinity])/648 - 
   (53*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/36 + 
   (25*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/27 - 
   (4757*S[3, Infinity]*S[1, {-1/2}, Infinity])/1296 - 
   (8*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/27 - 
   (2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/3 + 
   (23*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/27 - 
   (262*S[-1, Infinity]*S[3, {-1/2}, Infinity])/27 + 
   (73*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/54 + 
   32*S[4, {-1/2}, Infinity] - 
   (17*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/36 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/18 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    9 - S[1, 1, {-1/2, 1/2}, Infinity]^2/6 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    3 + S[1, 1, {1/2, -1/2}, Infinity]^2/6 + 
   (295*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/108 + 
   (131*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/18 + 
   (115*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    54 - (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/27 + 
   (13*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (17*S[1, 1, {1/2, 1/2}, Infinity]^2)/36 - 
   (50*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/27 - 
   (20*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/27 - 
   (17*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/18 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/18 + 
   (10*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/9 - 
   (11*S[1, 3, {-1, 1/2}, Infinity])/6 + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (23*S[1, 3, {-1/2, 1/2}, Infinity])/18 + 
   (17*S[1, 3, {1/2, -1/2}, Infinity])/18 + 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/18 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/18 - 
   (19*S[2, 2, {-1/2, 1/2}, Infinity])/18 - 
   (31*S[2, 2, {1/2, -1/2}, Infinity])/9 - (731*S[-1, 1, 1, 1, Infinity])/
    27 - S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/9 - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/9 + 
   (10*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity])/3 + 
   (2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity])/3 - 
   (2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity])/3 - 
   S[1, 1, 2, {-1, 1/2, 1/2}, Infinity]/3 - 
   (16*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/9 + 
   (5*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/3 + 
   (4*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/6 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/3 + 
   (5*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/18 - 
   (2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity])/3 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/3 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/3 - 
   S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/3 + 
   (5*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity])/3 + 
   (2*S[1, 2, 1, {-1/2, 1/2, 1}, Infinity])/3 - 
   (2*S[1, 2, 1, {1/2, -1/2, 1}, Infinity])/3 - 
   (2*S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity])/3 - 
   (5*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/9 + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/9 - 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1/2, 1/2, -2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1/2, 1/2, -1/2, -2}, Infinity]/3 + 
   S[1, 1, 1, 1, {1/2, -1/2, -1/2, -2}, Infinity]/3, 
 S[1, 1, 1, 1, {1/2, 1/2, -1/2, 1}, Infinity] -> 
  (7*S[-1, Infinity]^4)/6 - (7*S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (12*S[2, Infinity]^2)/5 + (829*S[-1, Infinity]*S[3, Infinity])/36 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   36*S[3, Infinity]*S[1, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (43*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   198*S[4, {-1/2}, Infinity] - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (71*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   36*S[1, 3, {-1, 1/2}, Infinity] + 36*S[1, 3, {-1/2, -2}, Infinity] - 
   2*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   86*S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, 
     Infinity] + S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, 1}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, 1/2}, Infinity] + S[1, 1, 2, {1/2, -1/2, 1/2}, 
    Infinity] + S[1, 2, 1, {-1/2, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, 1/2, 1}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, 1, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {1/2, -1/2, 1/2, 1}, Infinity] - 
   S[1, 1, 1, 1, {1/2, -1/2, 1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -1/2, -1}, Infinity] -> 
  (-29*S[-1, Infinity]^4)/12 + (33*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (53*S[-1, Infinity]*S[3, Infinity])/3 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   24*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] + 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 3*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, 1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, -1/2}, 
    Infinity] - S[1, 1, 2, {1/2, 1/2, 1/2}, Infinity] - 
   3*S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] + S[1, 2, 1, {-1/2, 1/2, -1/2}, 
    Infinity] + 3*S[1, 2, 1, {1/2, -1/2, -1/2}, Infinity] + 
   S[2, 1, 1, {-1/2, -1/2, 1/2}, Infinity] - 
   3*S[1, 1, 1, 1, {-1, -1/2, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, 1/2, -1/2, 1/2}, Infinity] - 
   3*S[1, 1, 1, 1, {-1/2, -1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, -1, 1/2, 1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1/2, -1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, 1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -1/2, -1/2}, Infinity] -> 
  S[-1, Infinity]^4/2 - 2*S[-1, Infinity]^2*S[2, Infinity] + 
   2*S[2, Infinity]^2 - (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   6*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (49*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   18*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   64*S[4, {-1/2}, Infinity] + S[1, 1, {-1/2, 1/2}, Infinity]*
    S[1, 1, {1/2, -1/2}, Infinity] + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 8*S[2, 2, {-1/2, 1/2}, Infinity] + 
   8*S[2, 2, {1/2, -1/2}, Infinity] - 64*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {1/2, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1/2, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, 1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {1/2, -1/2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -1/2, 2}, Infinity] -> 
  (55*S[-1, Infinity]^4)/288 - (319*S[-1, Infinity]^2*S[2, Infinity])/96 + 
   (9151*S[2, Infinity]^2)/480 + (73*S[-1, Infinity]*S[3, Infinity])/288 + 
   (47*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (571*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (19*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (9*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (13*S[-1, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (199*S[4, {-1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/2 - 
   (9*S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/2 + 
   (35*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/48 - 
   (353*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/16 - 
   (95*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (9*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (15*S[1, 1, {1/2, 1/2}, Infinity]^2)/8 + 
   (37*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (9*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   2*S[1, 3, {-1, 1/2}, Infinity] - (49*S[1, 3, {-1/2, -2}, Infinity])/4 - 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 + 3*S[1, 3, {1/2, -1/2}, Infinity] + 
   6*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (29*S[2, 2, {-1/2, 1/2}, Infinity])/8 + 
   (137*S[2, 2, {1/2, -1/2}, Infinity])/8 + (209*S[-1, 1, 1, 1, Infinity])/
    3 - S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   13*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   (9*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity])/2 + 
   (9*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1, 1/2, 1/2}, Infinity]/2 + 
   6*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   8*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   (9*S[1, 1, 2, {-1/2, -1, 1/2}, Infinity])/4 - 
   (9*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity])/2 + 
   (9*S[1, 1, 2, {-1/2, 1/2, -1}, Infinity])/4 + S[1, 1, 2, {-1/2, 1/2, 1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] + 
   (7*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity])/2 + 
   (3*S[1, 1, 2, {1/2, -1, 1/2}, Infinity])/2 - 
   (9*S[1, 1, 2, {1/2, -1/2, -1}, Infinity])/4 - 
   (13*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity])/2 + 
   2*S[1, 2, 1, {-1/2, 1/2, 1}, Infinity] - 
   2*S[1, 2, 1, {1/2, -1/2, 1}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] + 
   3*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] + 
   9*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, 1/2, 2}, Infinity] - 
   S[1, 1, 1, 1, {1/2, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -1/2, -2}, Infinity] -> 
  (43*S[-1, Infinity]^4)/144 + (5*S[-1, Infinity]^2*S[2, Infinity])/24 + 
   (11*S[2, Infinity]^2)/120 - (101*S[-1, Infinity]*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (10*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (11*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   S[1, {-1/2}, Infinity]^4/12 + (S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (53*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (43*S[4, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (23*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (9*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   (3*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (9*S[1, 3, {-1, 1/2}, Infinity])/2 - 3*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 - 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 + (31*S[-1, 1, 1, 1, Infinity])/3 + 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] - (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, -1/2}, Infinity] + 
   3*S[1, 1, 1, 1, {-1/2, -1/2, -1/2, -2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, 1/2, -2}, Infinity] - 
   S[1, 1, 1, 1, {1/2, -1/2, 1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, 2, 1}, Infinity] -> S[-1, Infinity]^4/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/3 - (149*S[2, Infinity]^2)/120 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4 + 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 6*S[4, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1/2, 2, -1}, Infinity] -> (-11*S[-1, Infinity]^4)/12 + 
   (19*S[-1, Infinity]^2*S[2, Infinity])/4 - (11*S[2, Infinity]^2)/10 + 
   (49*S[-1, Infinity]*S[3, Infinity])/4 - 6*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 8*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   2*S[4, {-1/2}, Infinity] - 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   6*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 8*S[1, 3, {-1, 1/2}, Infinity] + 
   6*S[1, 3, {-1/2, -2}, Infinity] + 13*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, 2, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/72 - (S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (41*S[2, Infinity]^2)/60 - (7*S[-1, Infinity]*S[3, Infinity])/4 + 
   2*S[3, Infinity]*S[1, {-1/2}, Infinity] + 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 3*S[4, {-1/2}, Infinity] - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (5*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1/2, 2, -1/2}, Infinity] -> 
  (-151*S[-1, Infinity]^4)/432 + (155*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   S[2, Infinity]^2/36 - (187*S[-1, Infinity]*S[3, Infinity])/108 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (4241*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (40*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   (77*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   19*S[4, {-1/2}, Infinity] + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (67*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (55*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (2*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (7*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (11*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 - 
   (16*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/2 - 5*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/6 + (7*S[1, 3, {1/2, -1/2}, Infinity])/6 - 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 - (7*S[2, 2, {1/2, -1/2}, Infinity])/6 + 
   (5*S[-1, 1, 1, 1, Infinity])/9 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   (4*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + (2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, 2, 2}, Infinity] -> S[-1, Infinity]^4/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/3 - (59*S[2, Infinity]^2)/30 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4 + 2*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 9*S[4, {-1/2}, Infinity] + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + (5*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1/2, 2, -2}, Infinity] -> (-19*S[-1, Infinity]^4)/54 + 
   (17*S[-1, Infinity]^2*S[2, Infinity])/72 - (149*S[2, Infinity]^2)/180 - 
   (161*S[-1, Infinity]*S[3, Infinity])/48 - S[-1, Infinity]^3*
    S[1, {-1/2}, Infinity] + (S[-1, Infinity]*S[2, Infinity]*
     S[1, {-1/2}, Infinity])/4 + (21*S[3, Infinity]*S[1, {-1/2}, Infinity])/
    4 - (S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (56*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (25*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (23*S[1, 3, {-1, 1/2}, Infinity])/3 - (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {1/2, -1/2}, Infinity]/2 + S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - (26*S[-1, 1, 1, 1, Infinity])/9 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -2, 1}, Infinity] -> (-31*S[-1, Infinity]^4)/108 + 
   (19*S[-1, Infinity]^2*S[2, Infinity])/18 + (7*S[2, Infinity]^2)/360 - 
   (7*S[-1, Infinity]*S[3, Infinity])/18 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (415*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (29*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   (95*S[4, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/3 - (7*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (38*S[-1, 1, 1, 1, Infinity])/9 + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[1, 1, 1, 1, {1/2, 1/2, -2, -1}, Infinity] -> 
  (-7*S[-1, Infinity]^4)/72 - (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (221*S[2, Infinity]^2)/120 - (49*S[-1, Infinity]*S[3, Infinity])/12 - 
   S[-1, Infinity]^3*S[1, {-1/2}, Infinity] + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (91*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   6*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   13*S[4, {-1/2}, Infinity] + 2*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] - 6*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] - S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   7*S[1, 3, {-1, 1/2}, Infinity] - 6*S[1, 3, {-1/2, -2}, Infinity] - 
   (2*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 1/2, -2, 1/2}, Infinity] -> 
  (-185*S[-1, Infinity]^4)/216 + (73*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (91*S[2, Infinity]^2)/9 + (323*S[-1, Infinity]*S[3, Infinity])/108 + 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/18 + 
   (4459*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 + 
   (20*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 + 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   (32*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (196*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   (10*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   116*S[4, {-1/2}, Infinity] + 
   (7*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/6 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] - 
   (119*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (161*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (119*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 + (8*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (11*S[1, 1, {1/2, 1/2}, Infinity]^2)/3 + 
   (35*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (32*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (10*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   15*S[1, 3, {-1, 1/2}, Infinity] - 19*S[1, 3, {-1/2, -2}, Infinity] + 
   (4*S[1, 3, {-1/2, 1/2}, Infinity])/3 + (8*S[1, 3, {1/2, -1/2}, Infinity])/
    3 - (4*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 + (25*S[2, 2, {1/2, -1/2}, Infinity])/3 + 
   (713*S[-1, 1, 1, 1, Infinity])/9 + 4*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   11*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, 1/2, 1/2}, 
    Infinity] + (16*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 - 
   6*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1, 1/2}, 
    Infinity] - 2*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, 
    Infinity] - (4*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/3 + 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - S[1, 1, 2, {1/2, -1/2, -1}, 
    Infinity] - 6*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] + 
   (8*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 + 
   8*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -2, -1/2}, Infinity] -> 
  (-31*S[-1, Infinity]^4)/72 - (5*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (257*S[2, Infinity]^2)/120 - (77*S[-1, Infinity]*S[3, Infinity])/24 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (31*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (1321*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (53*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (35*S[4, {-1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (29*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (13*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (5*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   6*S[1, 3, {-1, 1/2}, Infinity] - (11*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (10*S[-1, 1, 1, 1, Infinity])/3 + 
   (7*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, 1/2, -2, 2}, Infinity] -> (125*S[-1, Infinity]^4)/144 + 
   (25*S[-1, Infinity]^2*S[2, Infinity])/8 - (29*S[2, Infinity]^2)/30 + 
   (1561*S[-1, Infinity]*S[3, Infinity])/144 + 
   (29*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (183*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (37*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   11*S[4, {-1/2}, Infinity] - 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   (101*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (39*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + 2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 + 
   (7*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (19*S[1, 3, {-1, 1/2}, Infinity])/2 + (17*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {-1/2, 1/2}, Infinity]/2 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 + (47*S[-1, 1, 1, 1, Infinity])/3 + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] - S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 1/2, -2, -2}, Infinity] -> 
  (-41*S[-1, Infinity]^4)/216 - (11*S[-1, Infinity]^2*S[2, Infinity])/18 + 
   (41*S[2, Infinity]^2)/18 - (35*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (25*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (116*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (22*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (52*S[4, {-1/2}, Infinity])/3 + 2*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] - 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (22*S[1, 3, {-1, 1/2}, Infinity])/3 - 7*S[1, 3, {-1/2, -2}, Infinity] + 
   (17*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 1, -1}, Infinity] -> 
  (-49*S[-1, Infinity]^4)/216 - (107*S[-1, Infinity]^2*S[2, Infinity])/144 + 
   (313*S[2, Infinity]^2)/720 + (1547*S[-1, Infinity]*S[3, Infinity])/288 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (1621*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (29*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (49*S[-1, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (53*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (67*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (43*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   (21*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    4 - (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   (59*S[1, 3, {-1, 1/2}, Infinity])/6 + (33*S[1, 3, {-1/2, -2}, Infinity])/
    4 - S[1, 3, {1/2, -1/2}, Infinity]/4 - 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/4 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 + (29*S[-1, 1, 1, 1, Infinity])/18 + 
   S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, 1}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity]/2 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 - 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/4 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/4 + 
   (3*S[1, 1, 2, {1/2, -1/2, -1}, Infinity])/4 + 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, 1, 1/2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 1, -1/2}, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity])/3 - (13*S[-1, Infinity]*S[3, Infinity])/
    36 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (25*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {1/2, -1/2, 1}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -1/2}, Infinity] + S[1, 1, 2, {1/2, -1/2, -1/2}, 
    Infinity] + S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] - 
   S[1, 2, 1, {-1/2, 1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, 1/2, 1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1, -1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, 1, 1/2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 1, 2}, Infinity] -> (269*S[-1, Infinity]^4)/432 - 
   (49*S[-1, Infinity]^2*S[2, Infinity])/9 + (253*S[2, Infinity]^2)/360 - 
   (1003*S[-1, Infinity]*S[3, Infinity])/144 + 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (253*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (55*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (41*S[4, {-1/2}, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (23*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (7*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity] + S[1, 3, {1/2, -1/2}, Infinity] + 
   (13*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - S[2, 2, {1/2, -1/2}, Infinity] + 
   (169*S[-1, 1, 1, 1, Infinity])/18 - 3*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {1/2, -1/2, 1}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 1, -2}, Infinity] -> 
  -S[-1, Infinity]^4/8 - (S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (7*S[2, Infinity]^2)/16 - (13*S[-1, Infinity]*S[3, Infinity])/36 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   S[4, {-1/2}, Infinity]/2 - (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    4 + (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, 
      Infinity])/2 + S[1, 1, {-1/2, 1/2}, Infinity]^2/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    2 + (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]^2/4 + 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, 3, {-1/2, 1/2}, Infinity] - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 - S[2, 2, {1/2, -1/2}, Infinity] - 
   S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, 1}, 
     Infinity] - S[1, 1, 2, {-1/2, 1/2, 1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/2 - S[1, 2, 1, {-1/2, 1/2, 1}, 
    Infinity] + S[1, 2, 1, {1/2, -1/2, 1}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -1, 1}, Infinity] -> 
  (43*S[-1, Infinity]^4)/108 - (197*S[-1, Infinity]^2*S[2, Infinity])/144 + 
   (169*S[2, Infinity]^2)/720 - (2491*S[-1, Infinity]*S[3, Infinity])/288 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (23*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (1699*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (59*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (14*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (51*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   (47*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    12 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (55*S[1, 3, {-1, 1/2}, Infinity])/6 - (33*S[1, 3, {-1/2, -2}, Infinity])/
    4 + S[1, 3, {1/2, -1/2}, Infinity]/4 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/4 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 - (295*S[-1, 1, 1, 1, Infinity])/18 - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -2, -1/2}, 
    Infinity] - (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/4 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/4 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 - 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 + 
   S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1/2, -1/2, 1}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1, 1/2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -1, -1}, Infinity] -> 
  (-19*S[-1, Infinity]^4)/54 + (415*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (2021*S[2, Infinity]^2)/360 - (545*S[-1, Infinity]*S[3, Infinity])/432 + 
   (17*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (35*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (3647*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   (16*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (247*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   62*S[4, {-1/2}, Infinity] + 
   (4*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (5*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (97*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (233*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (89*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (17*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (10*S[1, 1, {1/2, 1/2}, Infinity]^2)/3 + 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (16*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (11*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   13*S[1, 3, {-1, 1/2}, Infinity] - (29*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (2*S[1, 3, {-1/2, 1/2}, Infinity])/3 + (11*S[1, 3, {1/2, -1/2}, Infinity])/
    6 - (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 + (14*S[2, 2, {1/2, -1/2}, Infinity])/3 + 
   (259*S[-1, 1, 1, 1, Infinity])/9 + 4*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] + 
   (8*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   6*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (8*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 - 
   (7*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 1, 2, {1/2, -1/2, 1}, 
    Infinity] - 4*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1, 1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] + 
   (4*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   (2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 + 
   4*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -1, 1/2}, Infinity] -> 
  (11*S[-1, Infinity]^4)/12 - (9*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (65*S[-1, Infinity]*S[3, Infinity])/12 + 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (21*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   6*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, 
      Infinity])/2 - (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 + 2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] + S[1, 1, 2, {1/2, 1/2, 1/2}, 
    Infinity] + 3*S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] - 
   S[1, 2, 1, {-1/2, 1/2, -1/2}, Infinity] - 
   2*S[1, 2, 1, {1/2, -1/2, -1/2}, Infinity] + 
   3*S[1, 1, 1, 1, {-1, -1/2, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1/2, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1/2, 1/2, -1/2}, Infinity] + 
   3*S[1, 1, 1, 1, {-1/2, -1, -1/2, -1/2}, Infinity] - 
   3*S[1, 1, 1, 1, {-1/2, -1, 1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, -1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -1, -1/2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/144 - (123*S[-1, Infinity]^2*S[2, Infinity])/8 + 
   (53*S[2, Infinity]^2)/30 - (209*S[-1, Infinity]*S[3, Infinity])/72 + 
   (35*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   12*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (443*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (19*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (95*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (37*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   60*S[4, {-1/2}, Infinity] - 
   (11*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   (32*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (75*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (155*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + 4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (9*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (9*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   10*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (53*S[1, 3, {-1, 1/2}, Infinity])/2 + 19*S[1, 3, {-1/2, -2}, Infinity] + 
   (3*S[1, 3, {-1/2, 1/2}, Infinity])/2 - (9*S[1, 3, {1/2, -1/2}, Infinity])/
    2 + (27*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   3*S[2, 2, {-1/2, 1/2}, Infinity] - (3*S[2, 2, {1/2, -1/2}, Infinity])/2 + 
   (37*S[-1, 1, 1, 1, Infinity])/3 - 10*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] - 10*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   4*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   3*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + 
   (5*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/2 + 
   2*S[1, 1, 2, {1/2, -1, 1/2}, Infinity] + S[1, 1, 2, {1/2, -1/2, 1/2}, 
    Infinity] + 3*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1, 1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -1, 2}, Infinity] -> 
  (11*S[-1, Infinity]^4)/16 + (19*S[-1, Infinity]^2*S[2, Infinity])/24 - 
   (47*S[2, Infinity]^2)/20 - (985*S[-1, Infinity]*S[3, Infinity])/144 - 
   (9*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (49*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   8*S[4, {-1/2}, Infinity] + 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (3*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (25*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (15*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/2 - (9*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {-1/2, 1/2}, Infinity]/2 + 2*S[1, 3, {1/2, -1/2}, Infinity] - 
   (9*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (5*S[2, 2, {-1/2, 1/2}, Infinity])/2 - 2*S[2, 2, {1/2, -1/2}, Infinity] - 
   17*S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - 
   (3*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -1, -2}, Infinity] -> 
  (-253*S[-1, Infinity]^4)/216 + (19*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (397*S[2, Infinity]^2)/180 + (79*S[-1, Infinity]*S[3, Infinity])/12 - 
   (31*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (65*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (485*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (19*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (103*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (155*S[4, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 - 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (22*S[1, 3, {-1, 1/2}, Infinity])/3 + (9*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {-1/2, 1/2}, Infinity] - S[1, 3, {1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   S[2, 2, {1/2, -1/2}, Infinity] - (74*S[-1, 1, 1, 1, Infinity])/9 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   (13*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {1/2, -1, 1/2}, Infinity] + 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 1/2, -1}, Infinity] -> 
  (-3*S[-1, Infinity]^4)/4 + (5*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (37*S[-1, Infinity]*S[3, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (21*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    2 + (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, 1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1/2}, Infinity] + S[1, 1, 2, {1/2, -1/2, -1/2}, 
    Infinity] - S[1, 1, 2, {1/2, 1/2, 1/2}, Infinity] - 
   S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] + 
   2*S[1, 2, 1, {1/2, -1/2, -1/2}, Infinity] + S[2, 1, 1, {-1/2, -1/2, 1/2}, 
    Infinity] - 3*S[1, 1, 1, 1, {-1, -1/2, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, 1/2, 1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1/2, -1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 1/2, -1/2}, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]) + S[2, Infinity]^2 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   32*S[4, {-1/2}, Infinity] + S[-1, Infinity]*S[1, {-1/2}, Infinity]*
    S[1, 1, {-1/2, 1/2}, Infinity] + S[1, 1, {-1/2, 1/2}, Infinity]^2/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/2 + 2*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] - 2*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] + 4*S[2, 2, {-1/2, 1/2}, Infinity] + 
   4*S[2, 2, {1/2, -1/2}, Infinity] - 32*S[-1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {1/2, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -1/2, -1}, Infinity] -> 
  (7*S[-1, Infinity]^4)/8 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   2*S[2, Infinity]^2 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (5*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   54*S[4, {-1/2}, Infinity] - 2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
    S[1, 1, {1/2, -1/2}, Infinity] - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] - S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 42*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, 1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {1/2, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1/2, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 2, 1}, Infinity] -> (-115*S[-1, Infinity]^4)/432 + 
   (149*S[-1, Infinity]^2*S[2, Infinity])/36 - (767*S[2, Infinity]^2)/360 + 
   (191*S[-1, Infinity]*S[3, Infinity])/144 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (47*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (1579*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (29*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (103*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   S[4, {-1/2}, Infinity]/6 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (41*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (17*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (11*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 + 2*S[1, 3, {1/2, -1/2}, Infinity] - 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   3*S[2, 2, {-1/2, 1/2}, Infinity] - 2*S[2, 2, {1/2, -1/2}, Infinity] - 
   (203*S[-1, 1, 1, 1, Infinity])/18 + 3*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 2, -1}, Infinity] -> 
  (115*S[-1, Infinity]^4)/216 - (677*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (217*S[2, Infinity]^2)/90 - (721*S[-1, Infinity]*S[3, Infinity])/144 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (9*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (91*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (44*S[4, {-1/2}, Infinity])/3 - 3*S[-1, Infinity]^2*
    S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (31*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (23*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (9*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   3*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (23*S[1, 3, {-1, 1/2}, Infinity])/3 + (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {-1/2, 1/2}, Infinity] - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   10*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (131*S[-1, 1, 1, 1, Infinity])/9 - 6*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 6*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   (3*S[1, 1, 2, {1/2, -1, 1/2}, Infinity])/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + 2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 2, 1/2}, Infinity] -> 
  (-67*S[-1, Infinity]^4)/54 + (953*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (77*S[2, Infinity]^2)/45 + (473*S[-1, Infinity]*S[3, Infinity])/144 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (73*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (169*S[3, Infinity]*S[1, {-1/2}, Infinity])/18 - 
   (11*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (131*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (31*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (116*S[4, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   S[1, 1, {1/2, -1/2}, Infinity]^2/2 - 
   (29*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (59*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (17*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (9*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (16*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   3*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   7*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (50*S[1, 3, {-1, 1/2}, Infinity])/3 - (27*S[1, 3, {-1/2, -2}, Infinity])/
    2 + 3*S[1, 3, {-1/2, 1/2}, Infinity] + S[1, 3, {1/2, -1/2}, Infinity]/2 - 
   12*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   3*S[2, 2, {-1/2, 1/2}, Infinity] - 5*S[2, 2, {1/2, -1/2}, Infinity] - 
   (113*S[-1, 1, 1, 1, Infinity])/9 + 8*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 8*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - 2*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   (3*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/2 - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - 
   (3*S[1, 1, 2, {1/2, -1, 1/2}, Infinity])/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 1, 2, {1/2, -1/2, 1}, 
    Infinity] - 2*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, 2, 1, {-1/2, 1/2, 1}, Infinity] + 
   2*S[1, 2, 1, {1/2, -1/2, 1}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] + 
   4*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 2, -1/2}, Infinity] -> 
  (263*S[-1, Infinity]^4)/216 + (119*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (209*S[2, Infinity]^2)/180 - (2099*S[-1, Infinity]*S[3, Infinity])/144 + 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   28*S[3, Infinity]*S[1, {-1/2}, Infinity] - 5*S[-1, Infinity]^2*
    S[1, {-1/2}, Infinity]^2 - (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/
    2 - (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (55*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (17*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (257*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (29*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (63*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (53*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + 2*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (86*S[1, 3, {-1, 1/2}, Infinity])/3 - (45*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {-1/2, 1/2}, Infinity] + S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - 2*S[2, 2, {1/2, -1/2}, Infinity] + 
   (139*S[-1, 1, 1, 1, Infinity])/9 - S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   4*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 2, 2}, Infinity] -> (-121*S[-1, Infinity]^4)/144 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/24 + (43*S[2, Infinity]^2)/120 - 
   (1651*S[-1, Infinity]*S[3, Infinity])/144 - 
   (37*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (15*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (335*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 6*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 34*S[4, {-1/2}, Infinity] + 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (3*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   (65*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (65*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (9*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (35*S[1, 3, {-1, 1/2}, Infinity])/2 - (29*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {-1/2, 1/2}, Infinity]/2 + 2*S[1, 3, {1/2, -1/2}, Infinity] - 
   (5*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (5*S[2, 2, {-1/2, 1/2}, Infinity])/2 - 2*S[2, 2, {1/2, -1/2}, Infinity] - 
   (37*S[-1, 1, 1, 1, Infinity])/3 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - 
   (3*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, 2, -2}, Infinity] -> 
  (149*S[-1, Infinity]^4)/216 - (67*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (1339*S[2, Infinity]^2)/720 - (407*S[-1, Infinity]*S[3, Infinity])/144 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (31*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (215*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (17*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (26*S[4, {-1/2}, Infinity])/3 - 2*S[-1, Infinity]^2*
    S[1, 1, {-1/2, 1/2}, Infinity] + 
   (7*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    2 + S[1, 1, {-1/2, 1/2}, Infinity]^2/4 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    2 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]^2/4 - 
   (35*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/6 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (3*S[1, 3, {-1/2, 1/2}, Infinity])/2 + 4*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[2, 2, {-1/2, 1/2}, Infinity])/2 - (3*S[2, 2, {1/2, -1/2}, Infinity])/
    2 + (191*S[-1, 1, 1, 1, Infinity])/18 - S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, 1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/2 - S[1, 2, 1, {-1/2, 1/2, 1}, 
    Infinity] + S[1, 2, 1, {1/2, -1/2, 1}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -2, 1}, Infinity] -> 
  (-29*S[-1, Infinity]^4)/144 - (S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (49*S[2, Infinity]^2)/12 - (713*S[-1, Infinity]*S[3, Infinity])/144 - 
   (19*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (655*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (17*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (3*S[4, {-1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (31*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[1, 3, {-1, 1/2}, Infinity] + 2*S[1, 3, {1/2, -1/2}, Infinity] - 
   (3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   3*S[2, 2, {-1/2, 1/2}, Infinity] - 2*S[2, 2, {1/2, -1/2}, Infinity] - 
   (79*S[-1, 1, 1, 1, Infinity])/6 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2 - 
   (3*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -2, -1}, Infinity] -> 
  (301*S[-1, Infinity]^4)/216 - (41*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (359*S[2, Infinity]^2)/360 - (1795*S[-1, Infinity]*S[3, Infinity])/144 + 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (53*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (755*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (65*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (109*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (41*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (31*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (19*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (11*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (9*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (49*S[1, 3, {-1, 1/2}, Infinity])/3 - (27*S[1, 3, {-1/2, -2}, Infinity])/
    2 + 2*S[1, 3, {-1/2, 1/2}, Infinity] + (3*S[1, 3, {1/2, -1/2}, Infinity])/
    2 - (11*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   3*S[2, 2, {-1/2, 1/2}, Infinity] - 4*S[2, 2, {1/2, -1/2}, Infinity] + 
   (8*S[-1, 1, 1, 1, Infinity])/9 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   (3*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/2 - 
   (3*S[1, 1, 2, {1/2, -1, 1/2}, Infinity])/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + 2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -2, 1/2}, Infinity] -> 
  (-43*S[-1, Infinity]^4)/144 - (175*S[-1, Infinity]^2*S[2, Infinity])/24 + 
   (29*S[2, Infinity]^2)/24 + (851*S[-1, Infinity]*S[3, Infinity])/144 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (3251*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (29*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (109*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   79*S[4, {-1/2}, Infinity] - 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (107*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (71*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   10*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (9*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (53*S[1, 3, {-1, 1/2}, Infinity])/2 + (41*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {-1/2, 1/2}, Infinity]/2 + 
   (7*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 - (22*S[-1, 1, 1, 1, Infinity])/3 - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -2, -1/2}, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity])/4 + (3*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (25*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (445*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   S[4, {-1/2}, Infinity] + S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/2 + S[1, 1, {1/2, -1/2}, Infinity]^2/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (8*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   2*S[1, 3, {-1/2, 1/2}, Infinity] + 2*S[1, 3, {1/2, -1/2}, Infinity] - 
   3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, 
    Infinity] + 2*S[1, 2, 1, {-1/2, 1/2, 1}, Infinity] - 
   2*S[1, 2, 1, {1/2, -1/2, 1}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -2, 2}, Infinity] -> 
  S[-1, Infinity]^4/6 - (55*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (73*S[2, Infinity]^2)/40 - (289*S[-1, Infinity]*S[3, Infinity])/36 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (21*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (20*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   3*S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   S[1, 1, {1/2, -1/2}, Infinity]^2/2 + 
   (19*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, 3, {-1/2, 1/2}, Infinity] + 4*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 2*S[2, 2, {-1/2, 1/2}, Infinity] - 
   3*S[2, 2, {1/2, -1/2}, Infinity] - 4*S[-1, 1, 1, 1, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -1/2, -2, -2}, Infinity] -> 
  (-95*S[-1, Infinity]^4)/108 + (163*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (7*S[2, Infinity]^2)/45 + (71*S[-1, Infinity]*S[3, Infinity])/8 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (59*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   6*S[-1, Infinity]*S[3, {-1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + (22*S[4, {-1/2}, Infinity])/3 - 
   S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - 4*S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] - (7*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] + S[1, 3, {-1/2, 1/2}, Infinity] - 
   S[1, 3, {1/2, -1/2}, Infinity] - 4*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - S[2, 2, {1/2, -1/2}, Infinity] - 
   (20*S[-1, 1, 1, 1, Infinity])/9 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + S[1, 1, 2, {1/2, -1, 1/2}, 
    Infinity] + S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 2, 1, 1}, Infinity] -> -S[-1, Infinity]^4/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity])/2 + (12*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]*S[3, Infinity])/8 + 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, 2, 1, -1}, Infinity] -> (13*S[-1, Infinity]^4)/24 - 
   (13*S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (49*S[-1, Infinity]*S[3, Infinity])/8 - 8*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] + 24*S[4, {-1/2}, Infinity] - 
   21*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {1/2, 2, 1, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/8 + (3*S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (6*S[2, Infinity]^2)/5 + (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   3*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {1/2, 2, 1, -1/2}, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity])/3 - (69*S[2, Infinity]^2)/40 + 
   (13*S[-1, Infinity]*S[3, Infinity])/36 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (29*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (179*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (15*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (13*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (9*S[4, {-1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 3*S[-1, 1, 1, 1, Infinity] - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, 2, -1, 1}, Infinity] -> -S[-1, Infinity]^4/72 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/2 - (259*S[2, Infinity]^2)/120 - 
   (497*S[-1, Infinity]*S[3, Infinity])/72 - 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (20*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 6*S[4, {-1/2}, Infinity] + 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (29*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 2, -1, -1}, Infinity] -> (-13*S[-1, Infinity]^4)/72 + 
   (29*S[-1, Infinity]^2*S[2, Infinity])/6 + (29*S[2, Infinity]^2)/120 + 
   (35*S[-1, Infinity]*S[3, Infinity])/8 + 4*S[-1, Infinity]*
    S[3, {-1/2}, Infinity] - 18*S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (43*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 2, -1, 1/2}, Infinity] -> (35*S[-1, Infinity]^4)/24 - 
   9*S[-1, Infinity]^2*S[2, Infinity] + (63*S[2, Infinity]^2)/40 - 
   (197*S[-1, Infinity]*S[3, Infinity])/8 + 16*S[3, Infinity]*
    S[1, {-1/2}, Infinity] - 12*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   18*S[4, {-1/2}, Infinity] + S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] - 14*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 + 18*S[1, 3, {-1, 1/2}, Infinity] - 
   16*S[1, 3, {-1/2, -2}, Infinity] - 23*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, 2, -1, -1/2}, Infinity] -> 
  (-49*S[-1, Infinity]^4)/72 + (17*S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (43*S[2, Infinity]^2)/120 + (91*S[-1, Infinity]*S[3, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   13*S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 8*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 14*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   6*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 8*S[1, 3, {-1, 1/2}, Infinity] + 
   8*S[1, 3, {-1/2, -2}, Infinity] + (19*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 2, 1/2, 1}, Infinity] -> -S[-1, Infinity]^4/6 + 
   S[-1, Infinity]^2*S[2, Infinity] + (17*S[2, Infinity]^2)/8 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 4*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, 2, 1/2, -1}, Infinity] -> (-5*S[-1, Infinity]^4)/24 + 
   (S[-1, Infinity]^2*S[2, Infinity])/4 - (17*S[2, Infinity]^2)/10 + 
   (3*S[-1, Infinity]*S[3, Infinity])/2 - 2*S[3, Infinity]*
    S[1, {-1/2}, Infinity] + 2*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   6*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   4*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {1/2, 2, 1/2, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/6 + S[-1, Infinity]^2*S[2, Infinity] - 
   (3*S[2, Infinity]^2)/10 + (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   2*S[3, Infinity]*S[1, {-1/2}, Infinity] - 2*S[4, {-1/2}, Infinity] + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   4*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {1/2, 2, 1/2, -1/2}, 
   Infinity] -> (-53*S[-1, Infinity]^4)/108 + 
   (8*S[-1, Infinity]^2*S[2, Infinity])/3 - (689*S[2, Infinity]^2)/180 - 
   (23*S[-1, Infinity]*S[3, Infinity])/54 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (64*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (307*S[3, Infinity]*S[1, {-1/2}, Infinity])/27 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (19*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (34*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (128*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (4*S[4, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/6 + 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]^2/2 + 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (46*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 - (25*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (11*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (2*S[1, 1, {1/2, 1/2}, Infinity]^2)/3 - 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 + (4*S[1, 3, {-1/2, 1/2}, Infinity])/
    3 + (2*S[1, 3, {1/2, -1/2}, Infinity])/3 - 
   (10*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (8*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (10*S[2, 2, {-1/2, 1/2}, Infinity])/3 - (8*S[2, 2, {1/2, -1/2}, Infinity])/
    3 - (110*S[-1, 1, 1, 1, Infinity])/9 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (10*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   (2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 - 
   2*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] - 
   (4*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/3 - 
   2*S[1, 2, 1, {-1/2, 1/2, 1}, Infinity] + 
   2*S[1, 2, 1, {1/2, -1/2, 1}, Infinity] - 
   (4*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   (4*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 + 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 2, 1/2, 2}, Infinity] -> -S[-1, Infinity]^4/6 + 
   S[-1, Infinity]^2*S[2, Infinity] + (113*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 4*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, 2, 1/2, -2}, Infinity] -> (-2*S[-1, Infinity]^4)/3 - 
   (17*S[-1, Infinity]^2*S[2, Infinity])/3 - (7*S[2, Infinity]^2)/40 - 
   (217*S[-1, Infinity]*S[3, Infinity])/18 - 
   (10*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   13*S[3, Infinity]*S[1, {-1/2}, Infinity] - 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   8*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   8*S[4, {-1/2}, Infinity] + (22*S[-1, Infinity]^2*
     S[1, 1, {1/2, 1/2}, Infinity])/3 - 4*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] + (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {1/2, 1/2}, Infinity])/3 - 2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   8*S[1, 3, {-1, 1/2}, Infinity] - 8*S[1, 3, {-1/2, -2}, Infinity] - 
   12*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {1/2, 2, -1/2, 1}, Infinity] -> 
  (7*S[-1, Infinity]^4)/36 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (32*S[2, Infinity]^2)/15 - (263*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (359*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   10*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (8*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 2, -1/2, -1}, Infinity] -> 
  S[-1, Infinity]^4/36 - (S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (47*S[2, Infinity]^2)/30 - (77*S[-1, Infinity]*S[3, Infinity])/36 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   4*S[4, {-1/2}, Infinity] + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (8*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 2, -1/2, 1/2}, Infinity] -> 
  (265*S[-1, Infinity]^4)/216 - (755*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (62*S[2, Infinity]^2)/45 - (149*S[-1, Infinity]*S[3, Infinity])/48 + 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (61*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (97*S[3, Infinity]*S[1, {-1/2}, Infinity])/18 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (33*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (37*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (95*S[4, {-1/2}, Infinity])/3 - 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (49*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (11*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 + 4*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (38*S[1, 3, {-1, 1/2}, Infinity])/3 + (19*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (3*S[1, 3, {1/2, -1/2}, Infinity])/2 + 
   9*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (7*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] + 3*S[2, 2, {1/2, -1/2}, Infinity] + 
   (89*S[-1, 1, 1, 1, Infinity])/9 - 6*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 6*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + 2*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - S[1, 1, 2, {-1/2, 1/2, 1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   4*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + 
   2*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] - 
   4*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, 2, -1/2, -1/2}, Infinity] -> 
  (-19*S[-1, Infinity]^4)/54 - (29*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (11*S[2, Infinity]^2)/9 + (7*S[-1, Infinity]*S[3, Infinity])/9 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (109*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (9*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   S[4, {-1/2}, Infinity]/3 + (11*S[-1, Infinity]^2*
     S[1, 1, {1/2, 1/2}, Infinity])/6 - 2*S[-1, Infinity]*
    S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, 3, {-1, 1/2}, Infinity])/3 + S[-1, 1, 1, 1, Infinity]/9 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {1/2, 2, -1/2, 2}, Infinity] -> (115*S[-1, Infinity]^4)/72 + 
   (61*S[-1, Infinity]^2*S[2, Infinity])/12 - (689*S[2, Infinity]^2)/120 + 
   (217*S[-1, Infinity]*S[3, Infinity])/18 + 
   (35*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (9*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (91*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (28*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   14*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   14*S[4, {-1/2}, Infinity] - 
   (77*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (23*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (14*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   14*S[1, 3, {-1, 1/2}, Infinity] + 14*S[1, 3, {-1/2, -2}, Infinity] + 
   (32*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, 2, -1/2, -2}, Infinity] -> 
  S[-1, Infinity]^4/36 - (S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (97*S[2, Infinity]^2)/60 - (77*S[-1, Infinity]*S[3, Infinity])/36 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (347*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (27*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (15*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   (11*S[4, {-1/2}, Infinity])/2 + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - (7*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (8*S[-1, 1, 1, 1, Infinity])/3 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, -2, 1, 1}, Infinity] -> (7*S[-1, Infinity]^4)/18 - 
   (S[-1, Infinity]^2*S[2, Infinity])/3 + S[2, Infinity]^2/12 + 
   (21*S[-1, Infinity]*S[3, Infinity])/8 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (433*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (23*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   14*S[4, {-1/2}, Infinity] - S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] + (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (7*S[-1, 1, 1, 1, Infinity])/3 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {1/2, -2, 1, -1}, Infinity] -> (-35*S[-1, Infinity]^4)/108 + 
   (19*S[-1, Infinity]^2*S[2, Infinity])/9 + (13*S[2, Infinity]^2)/45 - 
   (35*S[-1, Infinity]*S[3, Infinity])/72 - S[-1, Infinity]^3*
    S[1, {-1/2}, Infinity] - (S[-1, Infinity]*S[2, Infinity]*
     S[1, {-1/2}, Infinity])/2 + (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/
    3 - (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (47*S[4, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 - 3*S[1, 3, {-1/2, -2}, Infinity] + 
   (67*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {1/2, -2, 1, 1/2}, Infinity] -> (35*S[-1, Infinity]^4)/216 + 
   (17*S[-1, Infinity]^2*S[2, Infinity])/18 - (907*S[2, Infinity]^2)/360 + 
   (167*S[-1, Infinity]*S[3, Infinity])/36 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (611*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (33*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (41*S[4, {-1/2}, Infinity])/6 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (27*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   (16*S[1, 3, {-1, 1/2}, Infinity])/3 + (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (43*S[-1, 1, 1, 1, Infinity])/9 - 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, -2, 1, -1/2}, Infinity] -> 
  (-17*S[-1, Infinity]^4)/108 + (10*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   S[2, Infinity]^2/90 + (217*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (13*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 + S[1, 3, {-1/2, -2}, Infinity] - 
   (5*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {1/2, -2, -1, 1}, Infinity] -> -S[-1, Infinity]^4/8 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 + S[2, Infinity]^2/8 - 
   (35*S[-1, Infinity]*S[3, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 4*S[4, {-1/2}, Infinity] + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, -2, -1, -1}, Infinity] -> (25*S[-1, Infinity]^4)/24 - 
   (11*S[-1, Infinity]^2*S[2, Infinity])/6 + (29*S[2, Infinity]^2)/40 + 
   (203*S[-1, Infinity]*S[3, Infinity])/36 + 
   (19*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   13*S[3, Infinity]*S[1, {-1/2}, Infinity] - 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   8*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   36*S[4, {-1/2}, Infinity] - 
   (22*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + 2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   8*S[1, 3, {-1, 1/2}, Infinity] + 8*S[1, 3, {-1/2, -2}, Infinity] - 
   9*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {1/2, -2, -1, 1/2}, Infinity] -> 
  (25*S[-1, Infinity]^4)/24 - (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (29*S[2, Infinity]^2)/40 - (119*S[-1, Infinity]*S[3, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   13*S[3, Infinity]*S[1, {-1/2}, Infinity] - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 8*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 12*S[4, {-1/2}, Infinity] - 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 8*S[1, 3, {-1, 1/2}, Infinity] - 
   8*S[1, 3, {-1/2, -2}, Infinity] - 9*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {1/2, -2, -1, -1/2}, Infinity] -> 
  (-125*S[-1, Infinity]^4)/72 + (14*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (337*S[2, Infinity]^2)/120 + (46*S[-1, Infinity]*S[3, Infinity])/3 - 
   2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity] + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (19*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (13*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   7*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   15*S[4, {-1/2}, Infinity] + 4*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 - 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 10*S[1, 3, {-1, 1/2}, Infinity] + 
   7*S[1, 3, {-1/2, -2}, Infinity] + (29*S[-1, 1, 1, 1, Infinity])/3 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {1/2, -2, 1/2, 1}, Infinity] -> (-2*S[-1, Infinity]^4)/9 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/12 + (13*S[2, Infinity]^2)/6 + 
   (71*S[-1, Infinity]*S[3, Infinity])/24 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (47*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (9*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (23*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (15*S[4, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   3*S[1, 3, {-1, 1/2}, Infinity] + (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (4*S[-1, 1, 1, 1, Infinity])/3 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {1/2, -2, 1/2, -1}, Infinity] -> 
  (-31*S[-1, Infinity]^4)/72 + (23*S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (397*S[2, Infinity]^2)/120 + (371*S[-1, Infinity]*S[3, Infinity])/24 + 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (221*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 16*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 20*S[4, {-1/2}, Infinity] - 
   3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (33*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 17*S[1, 3, {-1, 1/2}, Infinity] + 
   16*S[1, 3, {-1/2, -2}, Infinity] + (52*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -2, 1/2, 1/2}, Infinity] -> 
  (445*S[-1, Infinity]^4)/432 - (389*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (877*S[2, Infinity]^2)/90 - (725*S[-1, Infinity]*S[3, Infinity])/432 - 
   (35*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (79*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (5651*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 - 
   (20*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 - 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (32*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (275*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (26*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   92*S[4, {-1/2}, Infinity] - 
   (17*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + (3*S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (85*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 + 
   (259*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (101*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 - (8*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (8*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   3*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (23*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 - 
   (26*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (32*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (29*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (13*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   (19*S[1, 3, {-1, 1/2}, Infinity])/2 + (29*S[1, 3, {-1/2, -2}, Infinity])/
    2 - (5*S[1, 3, {-1/2, 1/2}, Infinity])/6 - 
   (11*S[1, 3, {1/2, -1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   (4*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (11*S[2, 2, {-1/2, 1/2}, Infinity])/6 - 
   (25*S[2, 2, {1/2, -1/2}, Infinity])/3 - (629*S[-1, 1, 1, 1, Infinity])/9 - 
   4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   11*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   3*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   3*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, 1/2}, 
    Infinity] - (16*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   (13*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, -1, 1/2}, Infinity])/2 + 
   2*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 - 
   (3*S[1, 1, 2, {-1/2, 1/2, -1}, Infinity])/2 + 
   (4*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/3 - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   (3*S[1, 1, 2, {1/2, -1/2, -1}, Infinity])/2 + 
   6*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] - 
   (8*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 - 
   8*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -2, 1/2, -1/2}, Infinity] -> 
  (119*S[-1, Infinity]^4)/432 - (47*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (659*S[2, Infinity]^2)/360 + (893*S[-1, Infinity]*S[3, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (31*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (2653*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (19*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (13*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (139*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (499*S[4, {-1/2}, Infinity])/6 - 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (53*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (3*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (193*S[1, 3, {-1, 1/2}, Infinity])/6 + 27*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 + (2*S[-1, 1, 1, 1, Infinity])/9 + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -2, 1/2, 2}, Infinity] -> (-41*S[-1, Infinity]^4)/36 - 
   (9*S[-1, Infinity]^2*S[2, Infinity])/4 + (19*S[2, Infinity]^2)/6 - 
   (539*S[-1, Infinity]*S[3, Infinity])/72 - 
   (25*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   6*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (143*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (20*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   10*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   14*S[4, {-1/2}, Infinity] + 
   (55*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   11*S[1, 3, {-1, 1/2}, Infinity] - 10*S[1, 3, {-1/2, -2}, Infinity] - 
   (20*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {1/2, -2, 1/2, -2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/24 + 4*S[-1, Infinity]^2*S[2, Infinity] - 
   (111*S[2, Infinity]^2)/40 + (245*S[-1, Infinity]*S[3, Infinity])/24 + 
   (9*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (15*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (321*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 - 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (17*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (45*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (25*S[4, {-1/2}, Infinity])/2 - 6*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] + 
   (35*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (9*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   11*S[1, 3, {-1, 1/2}, Infinity] + (21*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   12*S[-1, 1, 1, 1, Infinity] - (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/
    4, S[1, 1, 1, 1, {1/2, -2, -1/2, 1}, Infinity] -> 
  (61*S[-1, Infinity]^4)/216 - (19*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (68*S[2, Infinity]^2)/45 - (511*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (17*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (7*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   6*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (14*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/3 - 5*S[1, 3, {-1/2, -2}, Infinity] - 
   (76*S[-1, 1, 1, 1, Infinity])/9 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {1/2, -2, -1/2, -1}, Infinity] -> 
  (55*S[-1, Infinity]^4)/54 - (S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (359*S[2, Infinity]^2)/360 - (151*S[-1, Infinity]*S[3, Infinity])/72 + 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (8*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   S[4, {-1/2}, Infinity]/3 - (31*S[-1, Infinity]^2*
     S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 - 3*S[1, 3, {-1/2, -2}, Infinity] - 
   (28*S[-1, 1, 1, 1, Infinity])/9 - 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {1/2, -2, -1/2, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/6 + (7*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (9*S[2, Infinity]^2)/5 - (757*S[-1, Infinity]*S[3, Infinity])/72 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (527*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   37*S[4, {-1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (19*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   15*S[1, 3, {-1, 1/2}, Infinity] - 13*S[1, 3, {-1/2, -2}, Infinity] - 
   6*S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, 
     Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] + S[1, 1, 2, {-1/2, -1, 1/2}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -2, -1/2, -1/2}, Infinity] -> 
  (47*S[-1, Infinity]^4)/216 + (5*S[-1, Infinity]^2*S[2, Infinity])/18 + 
   (5*S[2, Infinity]^2)/36 + (46*S[-1, Infinity]*S[3, Infinity])/9 + 
   S[-1, Infinity]^3*S[1, {-1/2}, Infinity] - S[-1, Infinity]*S[2, Infinity]*
    S[1, {-1/2}, Infinity] - (191*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (43*S[4, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (22*S[1, 3, {-1, 1/2}, Infinity])/3 + 6*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity] - S[1, 3, {1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   2*S[2, 2, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {1/2, -1/2}, Infinity] + 
   (4*S[-1, 1, 1, 1, Infinity])/9 - S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, 
    Infinity] + S[1, 1, 2, {1/2, -1, 1/2}, Infinity] + 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {1/2, -2, -1/2, 2}, Infinity] -> 
  (-77*S[-1, Infinity]^4)/216 - (25*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (113*S[2, Infinity]^2)/180 - (259*S[-1, Infinity]*S[3, Infinity])/72 - 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (13*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (14*S[4, {-1/2}, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (28*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {1/2, -2, -1/2, -2}, Infinity] -> 
  (179*S[-1, Infinity]^4)/216 + (25*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (433*S[2, Infinity]^2)/180 + (175*S[-1, Infinity]*S[3, Infinity])/24 + 
   (10*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (133*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (10*S[4, {-1/2}, Infinity])/3 - 7*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (20*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (52*S[-1, 1, 1, 1, Infinity])/9 + 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1, 1, 1}, Infinity] -> (23*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[1, {-1/2}, Infinity]^4/24 + (7*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/12 + (3*S[4, {-1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1/2, -2}, Infinity]/2 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    4, S[1, 1, 1, 1, {-1/2, 1, 1, -1}, Infinity] -> 
  (13*S[2, Infinity]^2)/20 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   S[4, {-1/2}, Infinity] - (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, 
      Infinity])/3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/
    12 + (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {-1/2, 1, 1, 1/2}, Infinity] -> (67*S[-1, Infinity]^4)/216 - 
   (21*S[-1, Infinity]^2*S[2, Infinity])/8 + (25*S[2, Infinity]^2)/36 - 
   (1955*S[-1, Infinity]*S[3, Infinity])/432 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (29*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/18 + 
   (827*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 + 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/18 - 
   (83*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (31*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (31*S[4, {-1/2}, Infinity])/6 - 
   (2*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + (25*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 - 
   (23*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (16*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 + 
   (2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/3 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/6 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/6 - S[1, 3, {1/2, -1/2}, Infinity]/6 + 
   (7*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 + S[2, 2, {1/2, -1/2}, Infinity]/6 + 
   (19*S[-1, 1, 1, 1, Infinity])/18 - S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/6 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3, 
 S[1, 1, 1, 1, {-1/2, 1, 1, -1/2}, Infinity] -> 
  (23*S[2, Infinity]^2)/40 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[1, {-1/2}, Infinity]^4/24 + (7*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/12 + (3*S[4, {-1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1/2, -2}, Infinity]/2 - S[-1, 1, 1, 1, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[1, 1, 1, 1, {-1/2, 1, 1, 2}, Infinity] -> (-19*S[-1, Infinity]^4)/216 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/18 + (101*S[2, Infinity]^2)/360 + 
   (7*S[-1, Infinity]*S[3, Infinity])/6 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (347*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (23*S[4, {-1/2}, Infinity])/6 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   (4*S[1, 3, {-1, 1/2}, Infinity])/3 + S[1, 3, {-1/2, -2}, Infinity]/2 + 
   (16*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    4, S[1, 1, 1, 1, {-1/2, 1, 1, -2}, Infinity] -> 
  (39*S[2, Infinity]^2)/40 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[1, {-1/2}, Infinity]^4/24 + (7*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/12 + (3*S[4, {-1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1/2, -2}, Infinity]/2 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    4, S[1, 1, 1, 1, {-1/2, 1, -1, 1}, Infinity] -> 
  (-5*S[-1, Infinity]^4)/108 - (5*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (16*S[2, Infinity]^2)/45 - (97*S[-1, Infinity]*S[3, Infinity])/36 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (73*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 3*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - (32*S[4, {-1/2}, Infinity])/3 + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 - 3*S[1, 3, {-1/2, -2}, Infinity] + 
   (7*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {-1/2, 1, -1, -1}, Infinity] -> (13*S[-1, Infinity]^4)/108 - 
   (13*S[-1, Infinity]^2*S[2, Infinity])/18 - (5*S[2, Infinity]^2)/72 - 
   (77*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (697*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (35*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (61*S[4, {-1/2}, Infinity])/6 - 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 - (7*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (7*S[-1, 1, 1, 1, Infinity])/9 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, 1, -1, 1/2}, Infinity] -> 
  (19*S[-1, Infinity]^4)/108 - (13*S[-1, Infinity]^2*S[2, Infinity])/18 + 
   S[2, Infinity]^2/72 - (14*S[-1, Infinity]*S[3, Infinity])/9 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (169*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (23*S[4, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1, 1/2}, Infinity]/3 + S[1, 3, {-1/2, -2}, Infinity]/2 - 
   (23*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    4, S[1, 1, 1, 1, {-1/2, 1, -1, -1/2}, Infinity] -> 
  (17*S[-1, Infinity]^4)/432 - (43*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (577*S[2, Infinity]^2)/180 + (877*S[-1, Infinity]*S[3, Infinity])/432 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (5225*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 + 
   (29*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (167*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (37*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (281*S[4, {-1/2}, Infinity])/6 - 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + (121*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 + 
   (83*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (17*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 - (19*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 + 
   (7*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (53*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   (37*S[1, 3, {-1, 1/2}, Infinity])/3 + 12*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 - (2*S[1, 3, {1/2, -1/2}, Infinity])/3 + 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 - (7*S[2, 2, {1/2, -1/2}, Infinity])/3 - 
   (323*S[-1, 1, 1, 1, Infinity])/18 - 3*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/3 + 
   2*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 + 
   2*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   (5*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 - 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1, -1, 2}, Infinity] -> (13*S[-1, Infinity]^4)/108 - 
   (13*S[-1, Infinity]^2*S[2, Infinity])/18 - (53*S[2, Infinity]^2)/180 - 
   (77*S[-1, Infinity]*S[3, Infinity])/24 + S[-1, Infinity]*S[2, Infinity]*
    S[1, {-1/2}, Infinity] + (61*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (35*S[4, {-1/2}, Infinity])/3 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (7*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {-1/2, 1, -1, -2}, Infinity] -> (13*S[-1, Infinity]^4)/108 - 
   (5*S[-1, Infinity]^2*S[2, Infinity])/36 + (137*S[2, Infinity]^2)/360 + 
   (91*S[-1, Infinity]*S[3, Infinity])/36 + 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (119*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (13*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (47*S[4, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   (7*S[1, 3, {-1, 1/2}, Infinity])/3 + (7*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (11*S[-1, 1, 1, 1, Infinity])/9 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, 1, 1/2, 1}, Infinity] -> (-187*S[-1, Infinity]^4)/432 + 
   (33*S[-1, Infinity]^2*S[2, Infinity])/8 - (241*S[2, Infinity]^2)/180 + 
   (1199*S[-1, Infinity]*S[3, Infinity])/216 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (41*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (3455*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 - 
   (13*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (19*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/18 + 
   (56*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (137*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (13*S[4, {-1/2}, Infinity])/3 + 
   (13*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/4 - 
   (8*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (67*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 - (25*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (7*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/12 - 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (7*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (8*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (11*S[1, 3, {-1, 1/2}, Infinity])/6 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/6 - S[1, 3, {1/2, -1/2}, Infinity]/6 - 
   (25*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   (11*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 + S[2, 2, {1/2, -1/2}, Infinity]/6 - 
   (37*S[-1, 1, 1, 1, Infinity])/9 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/3 - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 - 
   (2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   (2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 + 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {-1/2, 1, 1/2, -1}, Infinity] -> 
  (20*S[-1, Infinity]^4)/27 - (415*S[-1, Infinity]^2*S[2, Infinity])/144 + 
   (719*S[2, Infinity]^2)/720 - (1039*S[-1, Infinity]*S[3, Infinity])/96 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (25*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (373*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (15*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (113*S[4, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/8 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 - 
   (63*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    4 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (65*S[1, 3, {-1, 1/2}, Infinity])/6 - (37*S[1, 3, {-1/2, -2}, Infinity])/
    4 - S[1, 3, {1/2, -1/2}, Infinity]/4 + 
   (3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/4 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 - (143*S[-1, 1, 1, 1, Infinity])/18 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4 + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 - 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/4 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/4 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 + 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 + 
   S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1, 1/2, 2}, Infinity] -> (-107*S[-1, Infinity]^4)/144 + 
   (27*S[-1, Infinity]^2*S[2, Infinity])/4 - (29*S[2, Infinity]^2)/24 + 
   (1451*S[-1, Infinity]*S[3, Infinity])/144 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (25*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (139*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (13*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (65*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (37*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   11*S[4, {-1/2}, Infinity] + 
   (7*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (19*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (31*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (13*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   (3*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   4*S[1, 3, {-1, 1/2}, Infinity] + (7*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (13*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (31*S[-1, 1, 1, 1, Infinity])/6 + 3*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4 - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1, 1/2, -2}, Infinity] -> 
  (71*S[-1, Infinity]^4)/216 - (259*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (91*S[2, Infinity]^2)/180 - (193*S[-1, Infinity]*S[3, Infinity])/48 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (10*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (101*S[3, Infinity]*S[1, {-1/2}, Infinity])/18 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (73*S[4, {-1/2}, Infinity])/6 - 2*S[-1, Infinity]^2*
    S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/6 - S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   5*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity]/2 + 
   (167*S[-1, 1, 1, 1, Infinity])/18 - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   3*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1, -1/2, 1}, Infinity] -> 
  S[-1, Infinity]^4/16 + (S[-1, Infinity]^2*S[2, Infinity])/8 + 
   S[2, Infinity]^2/8 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   S[1, {-1/2}, Infinity]^4/48 + S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 4*S[4, {-1/2}, Infinity] - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 - 4*S[-1, 1, 1, 1, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, -1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {-1/2, 1, -1/2, -1}, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity])/12 + S[2, Infinity]^2/4 + 
   (13*S[-1, Infinity]*S[3, Infinity])/36 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (31*S[3, Infinity]*S[1, {-1/2}, Infinity])/18 - 
   (11*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (13*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[2, 2, {1/2, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, 
    Infinity], S[1, 1, 1, 1, {-1/2, 1, -1/2, -1/2}, Infinity] -> 
  (-85*S[-1, Infinity]^4)/216 + (103*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (1183*S[2, Infinity]^2)/180 - (211*S[-1, Infinity]*S[3, Infinity])/12 + 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (1081*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (19*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   S[1, {-1/2}, Infinity]^4/12 + 17*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (25*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (494*S[4, {-1/2}, Infinity])/3 - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (79*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (19*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (98*S[1, 3, {-1, 1/2}, Infinity])/3 - 32*S[1, 3, {-1/2, -2}, Infinity] + 
   (604*S[-1, 1, 1, 1, Infinity])/9 + 
   7*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1/2, -1/2, -1/2}, Infinity] + 
   3*S[1, 1, 1, 1, {-1/2, -1/2, -1/2, 1}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1, -1/2, 2}, Infinity] -> 
  (149*S[-1, Infinity]^4)/216 - (31*S[-1, Infinity]^2*S[2, Infinity])/18 + 
   (17*S[2, Infinity]^2)/36 - (329*S[-1, Infinity]*S[3, Infinity])/72 + 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (131*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   S[4, {-1/2}, Infinity]/6 - 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 - (5*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (62*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    4, S[1, 1, 1, 1, {-1/2, 1, -1/2, -2}, Infinity] -> 
  (3*S[2, Infinity]^2)/8 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   S[1, {-1/2}, Infinity]^4/24 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   4*S[4, {-1/2}, Infinity] - S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 3*S[-1, 1, 1, 1, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {-1/2, 1, 2, 1}, Infinity] -> -S[-1, Infinity]^4/54 - 
   (19*S[-1, Infinity]^2*S[2, Infinity])/18 + (67*S[2, Infinity]^2)/180 - 
   (259*S[-1, Infinity]*S[3, Infinity])/72 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (107*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (7*S[4, {-1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (5*S[1, 3, {-1, 1/2}, Infinity])/3 - 3*S[1, 3, {-1/2, -2}, Infinity] - 
   (62*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {-1/2, 1, 2, -1}, Infinity] -> (-7*S[-1, Infinity]^4)/27 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/9 + (137*S[2, Infinity]^2)/180 + 
   (77*S[-1, Infinity]*S[3, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (43*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (17*S[4, {-1/2}, Infinity])/3 + 4*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 + 3*S[1, 3, {-1/2, -2}, Infinity] + 
   (50*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1, 2, 1/2}, Infinity] -> (13*S[-1, Infinity]^4)/108 - 
   (2*S[-1, Infinity]^2*S[2, Infinity])/9 + (43*S[2, Infinity]^2)/45 - 
   (35*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (34*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (2*S[4, {-1/2}, Infinity])/3 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (5*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (38*S[-1, 1, 1, 1, Infinity])/9 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, 1, 2, -1/2}, Infinity] -> 
  (-13*S[-1, Infinity]^4)/54 + (19*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (317*S[2, Infinity]^2)/180 + (481*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (563*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (13*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (21*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (53*S[4, {-1/2}, Infinity])/6 - 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (29*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (14*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   (19*S[1, 3, {-1, 1/2}, Infinity])/3 + (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (58*S[-1, 1, 1, 1, Infinity])/9 - 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, 1, -2, 1}, Infinity] -> (3*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   S[1, {-1/2}, Infinity]^4/24 + (2*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 1, -2, -1}, Infinity] -> (7*S[-1, Infinity]^4)/24 + 
   (2*S[-1, Infinity]^2*S[2, Infinity])/3 - S[2, Infinity]^2/8 + 
   (77*S[-1, Infinity]*S[3, Infinity])/36 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (119*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 1, -2, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (37*S[-1, Infinity]*S[3, Infinity])/72 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (S[3, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 1, -2, -1/2}, Infinity] -> 
  -S[2, Infinity]^2/8 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   S[1, {-1/2}, Infinity]^4/24 + (2*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, -1, 1, 1}, Infinity] -> S[-1, Infinity]^4/6 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - S[2, Infinity]^2/4 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   (3*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 3, {-1, 1/2}, Infinity] - 3*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1, 1, -1}, Infinity] -> 
  S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (43*S[2, Infinity]^2)/40 - (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (3*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[1, 3, {-1, 1/2}, Infinity] - 
   3*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1/2, -1, 1, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/2 + (3*S[-1, Infinity]^2*S[2, Infinity])/2 - 
   S[2, Infinity]^2/8 + (21*S[-1, Infinity]*S[3, Infinity])/8 + 
   (3*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 12*S[4, {-1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[1, 3, {-1, 1/2}, Infinity] + 
   9*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1/2, -1, 1, -1/2}, 
   Infinity] -> (31*S[-1, Infinity]^4)/144 + 
   (101*S[-1, Infinity]^2*S[2, Infinity])/36 + (21*S[2, Infinity]^2)/10 - 
   (2713*S[-1, Infinity]*S[3, Infinity])/432 + 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/18 + 
   (7409*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 - 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (131*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (41*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (319*S[4, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/6 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (139*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 - 
   (83*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (25*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (13*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (35*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (5*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   (47*S[1, 3, {-1, 1/2}, Infinity])/3 - 14*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 + (5*S[1, 3, {1/2, -1/2}, Infinity])/3 - 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   (4*S[2, 2, {-1/2, 1/2}, Infinity])/3 + (4*S[2, 2, {1/2, -1/2}, Infinity])/
    3 + (97*S[-1, 1, 1, 1, Infinity])/6 + 3*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/3 - 
   2*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - 
   (5*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/6 + S[1, 1, 2, {-1/2, 1, 1/2}, 
    Infinity] - S[1, 1, 2, {1/2, -1, 1/2}, Infinity] - 
   2*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   (5*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1, 1, 2}, Infinity] -> S[-1, Infinity]^4/6 - 
   (S[-1, Infinity]^2*S[2, Infinity])/2 - (33*S[2, Infinity]^2)/20 - 
   (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   (3*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 4*S[4, {-1/2}, Infinity] + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 3, {-1, 1/2}, Infinity] + S[1, 3, {-1/2, -2}, Infinity] - 
   3*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1/2, -1, 1, -2}, Infinity] -> 
  S[-1, Infinity]^4/6 - (5*S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (19*S[2, Infinity]^2)/8 - (119*S[-1, Infinity]*S[3, Infinity])/18 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (25*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (1267*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (53*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (41*S[4, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (15*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   7*S[1, 3, {-1, 1/2}, Infinity] - (11*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   S[-1, 1, 1, 1, Infinity] - (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -1, -1, 1}, Infinity] -> 
  -S[-1, Infinity]^4/36 + (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   S[2, Infinity]^2/30 + (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (719*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (31*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (29*S[4, {-1/2}, Infinity])/2 + 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + (7*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (10*S[-1, 1, 1, 1, Infinity])/3 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -1, -1, -1}, Infinity] -> 
  (11*S[-1, Infinity]^4)/36 + (S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (7*S[2, Infinity]^2)/15 + (89*S[-1, Infinity]*S[3, Infinity])/36 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (27*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   14*S[4, {-1/2}, Infinity] - 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (10*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, -1, -1, 1/2}, Infinity] -> 
  (-65*S[-1, Infinity]^4)/108 + (373*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (2021*S[2, Infinity]^2)/360 - (305*S[-1, Infinity]*S[3, Infinity])/432 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (71*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (1459*S[3, Infinity]*S[1, {-1/2}, Infinity])/108 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   (16*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (235*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (53*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   62*S[4, {-1/2}, Infinity] + 
   (4*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 + 
   (5*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (20*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (227*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (59*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (17*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (10*S[1, 1, {1/2, 1/2}, Infinity]^2)/3 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (16*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (11*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   13*S[1, 3, {-1, 1/2}, Infinity] - (29*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (2*S[1, 3, {-1/2, 1/2}, Infinity])/3 + (5*S[1, 3, {1/2, -1/2}, Infinity])/
    6 - (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 + (14*S[2, 2, {1/2, -1/2}, Infinity])/3 + 
   (259*S[-1, 1, 1, 1, Infinity])/9 + 4*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   5*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (8*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 - 
   (5*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   3*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   (4*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   (2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 + 
   4*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1, -1, -1/2}, Infinity] -> 
  (-53*S[-1, Infinity]^4)/108 + (55*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   S[2, Infinity]^2/9 + (35*S[-1, Infinity]*S[3, Infinity])/72 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (865*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (47*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (97*S[4, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (17*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 - (7*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (49*S[-1, 1, 1, 1, Infinity])/9 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -1, -1, 2}, Infinity] -> 
  -S[-1, Infinity]^4/9 - (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (11*S[2, Infinity]^2)/15 - (56*S[-1, Infinity]*S[3, Infinity])/9 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (23*S[3, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   6*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   18*S[4, {-1/2}, Infinity] + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   8*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   6*S[1, 3, {-1, 1/2}, Infinity] - 8*S[1, 3, {-1/2, -2}, Infinity] + 
   (2*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, -1, -1, -2}, Infinity] -> 
  -S[-1, Infinity]^4/36 + (2*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (13*S[2, Infinity]^2)/12 + (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (103*S[3, Infinity]*S[1, {-1/2}, Infinity])/18 - 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   16*S[4, {-1/2}, Infinity] + 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] + (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (10*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, -1, 1/2, 1}, Infinity] -> 
  (-2*S[-1, Infinity]^4)/9 + (5*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (11*S[2, Infinity]^2)/24 - (41*S[-1, Infinity]*S[3, Infinity])/36 - 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (775*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (5*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (41*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (17*S[4, {-1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (11*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - (5*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (8*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[1, 1, 1, 1, {-1/2, -1, 1/2, -1}, Infinity] -> 
  (103*S[-1, Infinity]^4)/108 - (391*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (3907*S[2, Infinity]^2)/360 + (503*S[-1, Infinity]*S[3, Infinity])/216 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (71*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/18 - 
   (1459*S[3, Infinity]*S[1, {-1/2}, Infinity])/54 - 
   (2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 - 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (32*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (235*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   (44*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   123*S[4, {-1/2}, Infinity] - 
   (8*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] + 
   (49*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (112*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (68*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 - (8*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (14*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (37*S[1, 1, {1/2, 1/2}, Infinity]^2)/6 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (32*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (16*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (22*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   26*S[1, 3, {-1, 1/2}, Infinity] + 29*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 - (11*S[1, 3, {1/2, -1/2}, Infinity])/3 + 
   (22*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (4*S[2, 2, {-1/2, 1/2}, Infinity])/3 - (22*S[2, 2, {1/2, -1/2}, Infinity])/
    3 - (518*S[-1, 1, 1, 1, Infinity])/9 - 8*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (16*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   10*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (16*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   6*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1/2, -1, 1/2}, 
    Infinity] + 2*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + 
   2*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, 
    Infinity] + (4*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/3 - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] + S[1, 1, 2, {1/2, -1/2, -1}, 
    Infinity] + 6*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] - 
   (8*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   (4*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 - 
   8*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1, 1/2, 2}, Infinity] -> 
  (13*S[-1, Infinity]^4)/18 - (37*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (29*S[2, Infinity]^2)/120 - (21*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (69*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   5*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 11*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 8*S[1, 3, {-1, 1/2}, Infinity] - 
   6*S[1, 3, {-1/2, -2}, Infinity] - (34*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, -1, 1/2, -2}, Infinity] -> 
  (-4*S[-1, Infinity]^4)/27 - (13*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (53*S[2, Infinity]^2)/360 - (7*S[-1, Infinity]*S[3, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (127*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (7*S[4, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (5*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 + S[1, 3, {-1/2, -2}, Infinity]/2 - 
   (19*S[-1, 1, 1, 1, Infinity])/9 + 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -1, -1/2, 1}, Infinity] -> 
  (47*S[-1, Infinity]^4)/432 - (5*S[-1, Infinity]^2*S[2, Infinity])/2 - 
   (581*S[2, Infinity]^2)/360 + (1183*S[-1, Infinity]*S[3, Infinity])/432 - 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (2981*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 - 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/18 - 
   (95*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   (197*S[4, {-1/2}, Infinity])/6 - 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/4 + S[-1, Infinity]*
    S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/2 + 
   (85*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 + 
   (28*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (61*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (19*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 + 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (29*S[1, 1, {1/2, 1/2}, Infinity]^2)/12 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (17*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (25*S[1, 3, {-1, 1/2}, Infinity])/3 + 8*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 + (4*S[1, 3, {1/2, -1/2}, Infinity])/3 + 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   (13*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/3 - S[2, 2, {1/2, -1/2}, Infinity]/3 - 
   (191*S[-1, 1, 1, 1, Infinity])/18 - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/6 + 
   2*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 - S[1, 1, 2, {-1/2, 1/2, 1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 + 
   S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - S[1, 1, 2, {1/2, -1/2, 1}, 
    Infinity] + 2*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 2, 1, {1/2, -1/2, 1}, Infinity] - 
   (2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, 1}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 - 
   3*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {-1/2, -1, -1/2, -1}, Infinity] -> 
  S[-1, Infinity]^4/8 - (S[-1, Infinity]^2*S[2, Infinity])/4 + 
   S[2, Infinity]^2/8 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (79*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   4*S[4, {-1/2}, Infinity] + S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] - S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 + 2*S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 4*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1, -1/2, 2}, Infinity] -> 
  (89*S[-1, Infinity]^4)/108 + (67*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (17*S[2, Infinity]^2)/90 - (463*S[-1, Infinity]*S[3, Infinity])/48 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (155*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (23*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (17*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (133*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (45*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (31*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (9*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (52*S[1, 3, {-1, 1/2}, Infinity])/3 - (27*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (3*S[1, 3, {1/2, -1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - S[2, 2, {1/2, -1/2}, Infinity] + 
   (59*S[-1, 1, 1, 1, Infinity])/9 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   (3*S[1, 1, 2, {1/2, -1, 1/2}, Infinity])/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + 2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1, -1/2, -2}, Infinity] -> 
  (-109*S[-1, Infinity]^4)/72 + (11*S[-1, Infinity]^2*S[2, Infinity])/8 - 
   (23*S[2, Infinity]^2)/24 + (1613*S[-1, Infinity]*S[3, Infinity])/144 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (37*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   32*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (41*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (13*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   14*S[1, 3, {-1, 1/2}, Infinity] + (23*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   S[1, 3, {1/2, -1/2}, Infinity]/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] - (11*S[-1, 1, 1, 1, Infinity])/3 - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - 2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1, 2, 1}, Infinity] -> S[-1, Infinity]^4/36 - 
   (2*S[-1, Infinity]^2*S[2, Infinity])/3 + (31*S[2, Infinity]^2)/60 - 
   (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (649*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (29*S[4, {-1/2}, Infinity])/2 - 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - (5*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (10*S[-1, 1, 1, 1, Infinity])/3 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    4, S[1, 1, 1, 1, {-1/2, -1, 2, -1}, Infinity] -> 
  (5*S[-1, Infinity]^4)/72 - (7*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (319*S[2, Infinity]^2)/120 + (469*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (77*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (26*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   8*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   56*S[4, {-1/2}, Infinity] + 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (25*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (14*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   14*S[1, 3, {-1, 1/2}, Infinity] + 14*S[1, 3, {-1/2, -2}, Infinity] - 
   (62*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, -1, 2, 1/2}, Infinity] -> 
  (7*S[-1, Infinity]^4)/36 - (5*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (28*S[2, Infinity]^2)/15 - (289*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 10*S[4, {-1/2}, Infinity] - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (10*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, -1, 2, -1/2}, Infinity] -> 
  S[-1, Infinity]^4/36 - (2*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (19*S[2, Infinity]^2)/30 - (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (377*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   16*S[4, {-1/2}, Infinity] - 3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, 
     Infinity] - (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (10*S[-1, 1, 1, 1, Infinity])/3 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1, -2, 1}, Infinity] -> (37*S[-1, Infinity]^4)/36 - 
   (7*S[-1, Infinity]^2*S[2, Infinity])/12 - (13*S[2, Infinity]^2)/30 + 
   (413*S[-1, Infinity]*S[3, Infinity])/72 + 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (37*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (2443*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (13*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (10*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (113*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (91*S[4, {-1/2}, Infinity])/2 - 
   (25*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (35*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (7*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   14*S[1, 3, {-1, 1/2}, Infinity] + (23*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (32*S[-1, 1, 1, 1, Infinity])/3 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -1, -2, -1}, Infinity] -> 
  (5*S[-1, Infinity]^4)/36 - (4*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (11*S[2, Infinity]^2)/60 - (49*S[-1, Infinity]*S[3, Infinity])/4 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (9*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (847*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 + 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (35*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   (91*S[4, {-1/2}, Infinity])/2 + S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] - 
   (39*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   14*S[1, 3, {-1, 1/2}, Infinity] - (23*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (32*S[-1, 1, 1, 1, Infinity])/3 - 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -1, -2, 1/2}, Infinity] -> 
  S[-1, Infinity]^4/12 - (14*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]*S[3, Infinity])/4 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (97*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   5*S[4, {-1/2}, Infinity] - S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] + (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   2*S[1, 3, {-1, 1/2}, Infinity] - S[1, 3, {-1/2, -2}, Infinity] - 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, -1, -2, -1/2}, Infinity] -> 
  (-17*S[-1, Infinity]^4)/12 + (7*S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (14*S[2, Infinity]^2)/5 + (61*S[-1, Infinity]*S[3, Infinity])/9 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (233*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   5*S[4, {-1/2}, Infinity] + (13*S[-1, Infinity]^2*
     S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   2*S[1, 3, {-1, 1/2}, Infinity] + S[1, 3, {-1/2, -2}, Infinity] + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, 1/2, 1, -1}, Infinity] -> 
  (11*S[-1, Infinity]^4)/54 - (347*S[-1, Infinity]^2*S[2, Infinity])/144 - 
   (73*S[2, Infinity]^2)/144 + (553*S[-1, Infinity]*S[3, Infinity])/96 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (2107*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (35*S[-1, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (136*S[4, {-1/2}, Infinity])/3 - 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (5*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/8 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 + 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (95*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   (55*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    12 - (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 - 
   (101*S[1, 3, {-1, 1/2}, Infinity])/6 + (57*S[1, 3, {-1/2, -2}, Infinity])/
    4 - S[1, 3, {1/2, -1/2}, Infinity]/4 - 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/4 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 - (85*S[-1, 1, 1, 1, Infinity])/18 + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity]/2 - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/4 - 
   (3*S[1, 1, 2, {-1/2, -1, 1/2}, Infinity])/4 - 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 + 
   (3*S[1, 1, 2, {-1/2, 1/2, -1}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/4 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/4 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 + 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, 1, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, 1, 2}, Infinity] -> (-3*S[-1, Infinity]^4)/16 + 
   (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (11*S[2, Infinity]^2)/80 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (39*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   2*S[-1, Infinity]*S[3, {-1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + (13*S[4, {-1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (3*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    2 - S[1, 1, {-1/2, 1/2}, Infinity]^2/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    2 + (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/4 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (5*S[1, 3, {-1, 1/2}, Infinity])/2 + 2*S[1, 3, {-1/2, -2}, Infinity] - 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 + S[1, 3, {1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 + S[2, 2, {1/2, -1/2}, Infinity]/2 + 
   2*S[-1, 1, 1, 1, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, 1/2, 1}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 1}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/2 + S[1, 2, 1, {-1/2, 1/2, 1}, 
    Infinity] - S[1, 2, 1, {1/2, -1/2, 1}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, 1, -2}, Infinity] -> 
  (-211*S[-1, Infinity]^4)/216 + (467*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (181*S[2, Infinity]^2)/360 + (527*S[-1, Infinity]*S[3, Infinity])/48 - 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (185*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (21*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (83*S[4, {-1/2}, Infinity])/6 + 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - 4*S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] - (29*S[1, 3, {-1, 1/2}, Infinity])/6 + 
   4*S[1, 3, {-1/2, -2}, Infinity] + S[1, 3, {-1/2, 1/2}, Infinity]/2 - 
   S[1, 3, {1/2, -1/2}, Infinity]/2 - 6*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity]/2 - (151*S[-1, 1, 1, 1, Infinity])/18 + 
   3*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -1, 1}, Infinity] -> 
  (-19*S[-1, Infinity]^4)/72 + (77*S[-1, Infinity]^2*S[2, Infinity])/48 - 
   (13*S[2, Infinity]^2)/48 - (2443*S[-1, Infinity]*S[3, Infinity])/288 - 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (43*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (2807*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (13*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (89*S[-1, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (61*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   44*S[4, {-1/2}, Infinity] + 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (5*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/8 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/4 - 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (103*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   (17*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    4 + (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (41*S[1, 3, {-1, 1/2}, Infinity])/2 - (65*S[1, 3, {-1/2, -2}, Infinity])/
    4 + S[1, 3, {1/2, -1/2}, Infinity]/4 + 
   (S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/4 - 
   S[2, 2, {-1/2, 1/2}, Infinity]/2 - (37*S[-1, 1, 1, 1, Infinity])/6 - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity]/2 + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/4 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/4 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/4 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/4 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/4 - 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 + 
   S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 1}, Infinity] - 
   S[1, 1, 1, 1, {-1, 1, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -1, -1}, Infinity] -> 
  (-37*S[-1, Infinity]^4)/54 + (499*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (2021*S[2, Infinity]^2)/360 + (883*S[-1, Infinity]*S[3, Infinity])/432 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (107*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (2513*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   (16*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (325*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (125*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   62*S[4, {-1/2}, Infinity] + 
   (11*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (49*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (233*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (41*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (17*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (10*S[1, 1, {1/2, 1/2}, Infinity]^2)/3 + 
   (7*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (16*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (11*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   13*S[1, 3, {-1, 1/2}, Infinity] - (29*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (2*S[1, 3, {-1/2, 1/2}, Infinity])/3 + (11*S[1, 3, {1/2, -1/2}, Infinity])/
    6 - (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   (2*S[2, 2, {-1/2, 1/2}, Infinity])/3 + (17*S[2, 2, {1/2, -1/2}, Infinity])/
    3 + (259*S[-1, 1, 1, 1, Infinity])/9 + 4*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (5*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   7*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, 1/2, 1/2}, Infinity] + 
   (8*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 - 
   (9*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + S[1, 1, 2, {-1/2, 1/2, 1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/6 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   4*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1, -1/2, 1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] + 
   (4*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   (2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 + 
   4*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -1, -1/2}, Infinity] -> 
  (43*S[-1, Infinity]^4)/48 - (413*S[-1, Infinity]^2*S[2, Infinity])/24 + 
   (133*S[2, Infinity]^2)/20 - (1847*S[-1, Infinity]*S[3, Infinity])/72 + 
   (19*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (33*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (535*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 + 
   8*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 - 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (68*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (69*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   10*S[4, {-1/2}, Infinity] - 
   (11*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (29*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (53*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (137*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + 3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/4 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   (11*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   10*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (23*S[1, 3, {-1, 1/2}, Infinity])/2 - 13*S[1, 3, {-1/2, -2}, Infinity] + 
   (3*S[1, 3, {-1/2, 1/2}, Infinity])/2 - (9*S[1, 3, {1/2, -1/2}, Infinity])/
    2 + (27*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   3*S[2, 2, {-1/2, 1/2}, Infinity] - (3*S[2, 2, {1/2, -1/2}, Infinity])/2 - 
   3*S[-1, 1, 1, 1, Infinity] - 10*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 4*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 9*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   4*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] - 
   3*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   2*S[1, 1, 2, {-1/2, -1/2, -1/2}, Infinity] + 
   (5*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 + S[1, 1, 2, {-1/2, 1/2, 1/2}, 
    Infinity] + (3*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/2 + 
   2*S[1, 1, 2, {1/2, -1, 1/2}, Infinity] + 
   3*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - S[1, 2, 1, {-1/2, 1/2, 1/2}, 
    Infinity] + 2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -1, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1/2, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -1, 2}, Infinity] -> 
  (-65*S[-1, Infinity]^4)/216 - (413*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (37*S[2, Infinity]^2)/72 + (187*S[-1, Infinity]*S[3, Infinity])/144 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (21*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (25*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   2*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (65*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (74*S[4, {-1/2}, Infinity])/3 - 
   (7*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (16*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (43*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (13*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (32*S[1, 3, {-1, 1/2}, Infinity])/3 + (19*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 7*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] + (23*S[-1, 1, 1, 1, Infinity])/9 - 
   4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -1, -2}, Infinity] -> 
  (13*S[-1, Infinity]^4)/18 - (13*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   S[2, Infinity]^2/24 - (77*S[-1, Infinity]*S[3, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (241*S[3, Infinity]*S[1, {-1/2}, Infinity])/18 - 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (47*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   15*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   8*S[1, 3, {-1, 1/2}, Infinity] - 6*S[1, 3, {-1/2, -2}, Infinity] - 
   (13*S[-1, 1, 1, 1, Infinity])/3 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, 1/2, 2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, 1/2, -1}, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity])/2 + (7*S[-1, Infinity]*S[3, Infinity])/
    6 + S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {-1/2, -1/2, 1/2}, Infinity] + 
   2*S[1, 1, 2, {-1/2, 1/2, -1/2}, Infinity] + S[1, 1, 2, {1/2, 1/2, 1/2}, 
    Infinity] + 2*S[1, 2, 1, {-1/2, -1/2, 1/2}, Infinity] - 
   S[1, 2, 1, {-1/2, 1/2, -1/2}, Infinity] + S[2, 1, 1, {-1/2, -1/2, 1/2}, 
    Infinity] - S[1, 1, 1, 1, {-1, -1/2, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, 1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, 1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -1/2, -1}, Infinity] -> 
  (83*S[-1, Infinity]^4)/144 + (111*S[-1, Infinity]^2*S[2, Infinity])/8 + 
   (7*S[2, Infinity]^2)/30 + (209*S[-1, Infinity]*S[3, Infinity])/72 - 
   (15*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   9*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (631*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 - 
   8*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (95*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (27*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   6*S[4, {-1/2}, Infinity] + (11*S[-1, Infinity]^2*
     S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (32*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (75*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (137*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - 3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (9*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   10*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (53*S[1, 3, {-1, 1/2}, Infinity])/2 - 19*S[1, 3, {-1/2, -2}, Infinity] - 
   (3*S[1, 3, {-1/2, 1/2}, Infinity])/2 + (9*S[1, 3, {1/2, -1/2}, Infinity])/
    2 - (27*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   3*S[2, 2, {-1/2, 1/2}, Infinity] + (3*S[2, 2, {1/2, -1/2}, Infinity])/2 - 
   (163*S[-1, 1, 1, 1, Infinity])/3 + 10*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 4*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 9*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, 1/2, -1/2}, Infinity] - 
   3*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   4*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + 
   3*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   (5*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity])/2 - 
   (3*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/2 - 
   2*S[1, 1, 2, {1/2, -1, 1/2}, Infinity] - S[1, 1, 2, {1/2, -1/2, 1/2}, 
    Infinity] - 3*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, 1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1/2, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, 2, 1}, Infinity] -> (5*S[-1, Infinity]^4)/9 - 
   (47*S[-1, Infinity]^2*S[2, Infinity])/8 + (277*S[2, Infinity]^2)/120 - 
   (947*S[-1, Infinity]*S[3, Infinity])/144 + 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (89*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (1787*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (7*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (25*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (53*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (169*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   3*S[4, {-1/2}, Infinity] - 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (19*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   6*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (67*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (3*S[1, 3, {-1, 1/2}, Infinity])/2 - (5*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   S[1, 3, {-1/2, 1/2}, Infinity]/2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   6*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity]/2 + 
   (43*S[-1, 1, 1, 1, Infinity])/6 - 3*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4 + S[1, 1, 2, {-1/2, 1/2, -2}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, 2, -1}, Infinity] -> 
  (17*S[-1, Infinity]^4)/216 + (587*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (73*S[2, Infinity]^2)/180 + (85*S[-1, Infinity]*S[3, Infinity])/48 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (21*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (39*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (31*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (15*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (47*S[4, {-1/2}, Infinity])/3 + 
   (7*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (45*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   5*S[1, 1, {1/2, 1/2}, Infinity]^2 - 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (32*S[1, 3, {-1, 1/2}, Infinity])/3 - (19*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {1/2, -1/2}, Infinity]/2 - 10*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - (119*S[-1, 1, 1, 1, Infinity])/9 + 
   6*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   6*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - 2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, 2, 1/2}, Infinity] -> 
  (187*S[-1, Infinity]^4)/216 - (17*S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (1099*S[2, Infinity]^2)/360 - (1199*S[-1, Infinity]*S[3, Infinity])/108 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (82*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (3455*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 + 
   (13*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/9 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (19*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (121*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   (128*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (29*S[4, {-1/2}, Infinity])/3 - 
   (13*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/6 + 
   (2*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (41*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (19*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (67*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 + (25*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (11*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/3 + 
   (16*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (7*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (16*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (11*S[1, 3, {-1, 1/2}, Infinity])/3 - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (2*S[1, 3, {-1/2, 1/2}, Infinity])/3 - (2*S[1, 3, {1/2, -1/2}, Infinity])/
    3 + (25*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (8*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (4*S[2, 2, {-1/2, 1/2}, Infinity])/3 + (2*S[2, 2, {1/2, -1/2}, Infinity])/
    3 + (74*S[-1, 1, 1, 1, Infinity])/9 - 4*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (16*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   (2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   (4*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/3 + 
   (4*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   (4*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 - 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, 2, -1/2}, Infinity] -> 
  (-283*S[-1, Infinity]^4)/216 + (121*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (613*S[2, Infinity]^2)/360 + (265*S[-1, Infinity]*S[3, Infinity])/12 - 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (2581*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (23*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (34*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (208*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   3*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   21*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (20*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (88*S[1, 3, {-1, 1/2}, Infinity])/3 + 24*S[1, 3, {-1/2, -2}, Infinity] - 
   3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (10*S[-1, 1, 1, 1, Infinity])/9 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - S[1, 1, 2, {-1/2, -1, 1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, 2, 2}, Infinity] -> (-11*S[-1, Infinity]^4)/216 - 
   (173*S[-1, Infinity]^2*S[2, Infinity])/72 + (391*S[2, Infinity]^2)/360 + 
   (587*S[-1, Infinity]*S[3, Infinity])/144 + 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 - 
   (19*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (7*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (80*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (35*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (9*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (38*S[1, 3, {-1, 1/2}, Infinity])/3 + (15*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 2*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] + (77*S[-1, 1, 1, 1, Infinity])/9 - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, 2, -2}, Infinity] -> 
  (-3*S[-1, Infinity]^4)/8 + 2*S[-1, Infinity]^2*S[2, Infinity] + 
   (129*S[2, Infinity]^2)/40 + 7*S[-1, Infinity]*S[3, Infinity] + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (119*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   5*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (32*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   17*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   5*S[1, 3, {-1, 1/2}, Infinity] + 2*S[1, 3, {-1/2, -2}, Infinity] - 
   S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   4*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   4*S[-1, 1, 1, 1, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, 
    Infinity], S[1, 1, 1, 1, {-1/2, 1/2, -2, 1}, Infinity] -> 
  (41*S[-1, Infinity]^4)/36 - (65*S[-1, Infinity]^2*S[2, Infinity])/24 + 
   (169*S[2, Infinity]^2)/120 - (187*S[-1, Infinity]*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (29*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (23*S[4, {-1/2}, Infinity])/2 - 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (15*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - S[-1, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, 1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] + (5*S[1, 3, {-1, 1/2}, Infinity])/2 - 
   2*S[1, 3, {-1/2, -2}, Infinity] + S[1, 3, {-1/2, 1/2}, Infinity]/2 - 
   S[1, 3, {1/2, -1/2}, Infinity]/2 + 3*S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + S[1, {-1/2}, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] + S[2, 2, {-1/2, 1/2}, Infinity] + 
   S[2, 2, {1/2, -1/2}, Infinity]/2 + (61*S[-1, 1, 1, 1, Infinity])/6 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] + S[1, 1, 2, {-1/2, 1/2, -2}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -2, -1}, Infinity] -> 
  (-229*S[-1, Infinity]^4)/216 - (73*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (101*S[2, Infinity]^2)/72 + (119*S[-1, Infinity]*S[3, Infinity])/16 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (71*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (1753*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   2*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (77*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (112*S[4, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   6*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   (41*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (11*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (49*S[1, 3, {-1, 1/2}, Infinity])/3 + (27*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (7*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] - (44*S[-1, 1, 1, 1, Infinity])/9 - 
   2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - 2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -2, 1/2}, Infinity] -> 
  (65*S[-1, Infinity]^4)/216 + (49*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (223*S[2, Infinity]^2)/180 - (113*S[-1, Infinity]*S[3, Infinity])/12 - 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (4265*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (16*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (11*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   16*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (79*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (409*S[4, {-1/2}, Infinity])/6 + 2*S[-1, Infinity]^2*
    S[1, 1, {-1/2, 1/2}, Infinity] + 2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
    S[1, 1, {-1/2, 1/2}, Infinity] - 6*S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] - 
   (85*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (35*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (25*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 
   (11*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (80*S[1, 3, {-1, 1/2}, Infinity])/3 - (45*S[1, 3, {-1/2, -2}, Infinity])/
    2 - 4*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (14*S[-1, 1, 1, 1, Infinity])/9 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] - (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 + 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -2, -1/2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/36 + (47*S[-1, Infinity]^2*S[2, Infinity])/24 + 
   (73*S[2, Infinity]^2)/120 - (1303*S[-1, Infinity]*S[3, Infinity])/144 + 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (665*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (29*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (29*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   52*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (23*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (49*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (19*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   19*S[1, 3, {-1, 1/2}, Infinity] - (31*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   S[1, 3, {-1/2, 1/2}, Infinity] + (3*S[1, 3, {1/2, -1/2}, Infinity])/2 + 
   (7*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - 3*S[2, 2, {1/2, -1/2}, Infinity] + 
   (26*S[-1, 1, 1, 1, Infinity])/3 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 1}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - 
   (3*S[1, 1, 2, {1/2, -1, 1/2}, Infinity])/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   2*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   4*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -2, 2}, Infinity] -> 
  (-17*S[-1, Infinity]^4)/36 + (51*S[-1, Infinity]^2*S[2, Infinity])/8 - 
   (437*S[2, Infinity]^2)/240 + (1073*S[-1, Infinity]*S[3, Infinity])/144 - 
   S[-1, Infinity]^3*S[1, {-1/2}, Infinity] - 
   (73*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (118*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 - 
   (13*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (53*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (103*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   4*S[4, {-1/2}, Infinity] + 
   (3*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (9*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (3*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    2 - S[1, 1, {-1/2, 1/2}, Infinity]^2/4 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    2 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/4 - 
   (19*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (41*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (17*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (7*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/4 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (5*S[1, 3, {-1, 1/2}, Infinity])/2 + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (3*S[1, 3, {-1/2, 1/2}, Infinity])/2 + 2*S[1, 3, {1/2, -1/2}, Infinity] - 
   6*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (7*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   (3*S[2, 2, {-1/2, 1/2}, Infinity])/2 - S[2, 2, {1/2, -1/2}, Infinity]/2 - 
   (61*S[-1, 1, 1, 1, Infinity])/6 + 3*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, -2}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, 1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/2 + S[1, 2, 1, {-1/2, 1/2, 1}, 
    Infinity] - S[1, 2, 1, {1/2, -1/2, 1}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 1/2, -2, -2}, Infinity] -> 
  (-23*S[-1, Infinity]^4)/36 - (31*S[-1, Infinity]^2*S[2, Infinity])/6 - 
   (149*S[2, Infinity]^2)/60 - (34*S[-1, Infinity]*S[3, Infinity])/3 - 
   (35*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (25*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (1249*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (9*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   9*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (41*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (45*S[4, {-1/2}, Infinity])/2 - S[-1, Infinity]^2*
    S[1, 1, {-1/2, 1/2}, Infinity] - 2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
    S[1, 1, {-1/2, 1/2}, Infinity] + 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (16*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (11*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   8*S[1, 3, {-1, 1/2}, Infinity] - (11*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[-1, 1, 1, 1, Infinity]/3 - S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, 
     Infinity] - 2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   (13*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] + S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, 
    Infinity], S[1, 1, 1, 1, {-1/2, -1/2, 1, 1}, Infinity] -> 
  (41*S[-1, Infinity]^4)/288 - (23*S[-1, Infinity]^2*S[2, Infinity])/48 - 
   (37*S[2, Infinity]^2)/120 - (43*S[-1, Infinity]*S[3, Infinity])/16 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (719*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (5*S[1, {-1/2}, Infinity]^4)/96 + 
   (17*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (17*S[4, {-1/2}, Infinity])/2 - 
   (19*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/8 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/8 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - (5*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (8*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 1, 1, {-1/2, -2, -1/2, -1/2}, 
     Infinity]/4, S[1, 1, 1, 1, {-1/2, -1/2, 1, -1}, Infinity] -> 
  (13*S[-1, Infinity]^4)/72 + (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (271*S[2, Infinity]^2)/120 - (131*S[-1, Infinity]*S[3, Infinity])/36 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (257*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (9*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   25*S[4, {-1/2}, Infinity] - 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (17*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (3*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   8*S[1, 3, {-1, 1/2}, Infinity] - 8*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity] + 
   (23*S[-1, 1, 1, 1, Infinity])/3 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1, -1/2}, 
    Infinity] - S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, 1, -1/2}, Infinity] -> 
  (139*S[-1, Infinity]^4)/108 - (143*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (92*S[2, Infinity]^2)/45 + (181*S[-1, Infinity]*S[3, Infinity])/24 - 
   (13*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (191*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   S[1, {-1/2}, Infinity]^4/6 - 13*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (33*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (439*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (43*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (11*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - (46*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   18*S[1, 3, {-1/2, -2}, Infinity] - (758*S[-1, 1, 1, 1, Infinity])/9 - 
   (7*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1/2, -1/2}, Infinity] - 
   3*S[1, 1, 1, 1, {-1/2, -1/2, -1/2, 1}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, 1, 2}, Infinity] -> 
  (23*S[-1, Infinity]^4)/216 - (47*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (7*S[2, Infinity]^2)/90 - (385*S[-1, Infinity]*S[3, Infinity])/72 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (307*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (32*S[4, {-1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (17*S[1, 3, {-1, 1/2}, Infinity])/3 - 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (62*S[-1, 1, 1, 1, Infinity])/9 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, 1, -2}, Infinity] -> 
  (11*S[-1, Infinity]^4)/72 - (5*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (14*S[2, Infinity]^2)/15 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (17*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (719*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[1, {-1/2}, Infinity]^4/24 + (37*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/12 - (17*S[4, {-1/2}, Infinity])/2 - 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - (5*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (8*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/4, 
 S[1, 1, 1, 1, {-1/2, -1/2, -1, 1}, Infinity] -> 
  (-341*S[-1, Infinity]^4)/432 + (41*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (509*S[2, Infinity]^2)/720 + (1799*S[-1, Infinity]*S[3, Infinity])/432 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (103*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (1645*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 + 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/18 + 
   (107*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (47*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/9 - 
   (22*S[4, {-1/2}, Infinity])/3 + 
   (5*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    6 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/
    2 - (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]^2/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 - (23*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/18 - 
   (7*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/6 - 
   (7*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   S[1, 3, {-1, 1/2}, Infinity]/3 + S[1, 3, {-1/2, 1/2}, Infinity]/3 - 
   (5*S[1, 3, {1/2, -1/2}, Infinity])/6 - 
   (11*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   S[2, 2, {-1/2, 1/2}, Infinity]/6 + S[2, 2, {1/2, -1/2}, Infinity]/3 + 
   (53*S[-1, 1, 1, 1, Infinity])/18 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/3 - S[1, 1, 2, {-1/2, -1, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/3 - S[1, 1, 2, {-1/2, 1, 1/2}, 
    Infinity] + S[1, 1, 2, {1/2, -1/2, 1}, Infinity]/2 - 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + S[1, 2, 1, {1/2, -1/2, 1}, 
    Infinity] - S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity]/3 - 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity]/2, 
 S[1, 1, 1, 1, {-1/2, -1/2, -1, -1}, Infinity] -> 
  (67*S[-1, Infinity]^4)/216 - (143*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (77*S[2, Infinity]^2)/180 - (335*S[-1, Infinity]*S[3, Infinity])/48 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (43*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (863*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (3*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (55*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (34*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (19*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (17*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (13*S[1, 3, {-1, 1/2}, Infinity])/3 - (9*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] - (28*S[-1, 1, 1, 1, Infinity])/9 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, -1, 2}, Infinity] -> 
  (-107*S[-1, Infinity]^4)/216 - (11*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (29*S[2, Infinity]^2)/360 + (63*S[-1, Infinity]*S[3, Infinity])/16 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (29*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (365*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (10*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (65*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (21*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 - (17*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (23*S[1, 3, {-1, 1/2}, Infinity])/3 + (11*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {1/2, -1/2}, Infinity] - (25*S[-1, 1, 1, 1, Infinity])/9 - 
   S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, -1, -2}, Infinity] -> 
  (251*S[-1, Infinity]^4)/216 + (83*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (349*S[2, Infinity]^2)/360 - (89*S[-1, Infinity]*S[3, Infinity])/16 + 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (583*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (23*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (17*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (7*S[-1, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (61*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (205*S[4, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (15*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (23*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   6*S[1, 1, {1/2, 1/2}, Infinity]^2 + 2*S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   (32*S[1, 3, {-1, 1/2}, Infinity])/3 - 8*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity] - S[1, 3, {1/2, -1/2}, Infinity]/2 - 
   S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] + S[2, 2, {1/2, -1/2}, Infinity] + 
   (70*S[-1, 1, 1, 1, Infinity])/9 + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] - S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (13*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 - 
   (3*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, 1/2, -1}, Infinity] -> 
  (53*S[-1, Infinity]^4)/36 - (17*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (413*S[2, Infinity]^2)/60 - (91*S[-1, Infinity]*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   6*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (177*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   9*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 18*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 16*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   32*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 2*S[-1, Infinity]*
    S[1, 2, {1/2, -1/2}, Infinity] + 38*S[1, 3, {-1, 1/2}, Infinity] - 
   32*S[1, 3, {-1/2, -2}, Infinity] - S[-1, Infinity]*
    S[2, 1, {-1/2, 1/2}, Infinity] - (172*S[-1, 1, 1, 1, Infinity])/3 + 
   S[-1, Infinity]*S[1, 1, 1, {-1/2, -1/2, 1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, 1/2}, 
    Infinity] - 2*S[1, 1, 2, {1/2, 1/2, -1/2}, Infinity] - 
   S[1, 2, 1, {1/2, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, -1/2, -1}, Infinity] -> 
  (-11*S[-1, Infinity]^4)/12 + (15*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (91*S[-1, Infinity]*S[3, Infinity])/12 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   10*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, 1/2, -1/2}, Infinity] + S[1, 2, 1, {1/2, -1/2, -1/2}, 
    Infinity] + S[2, 1, 1, {-1/2, -1/2, 1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -1/2, -1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, -1/2, -1/2}, Infinity] -> 
  S[-1, Infinity]^4/8 - (S[-1, Infinity]^2*S[2, Infinity])/2 + 
   S[2, Infinity]^2/2 - (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (49*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   S[1, {-1/2}, Infinity]^4/24 + 6*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] + 16*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 2*S[2, 2, {-1/2, 1/2}, Infinity] + 
   2*S[2, 2, {1/2, -1/2}, Infinity] - 16*S[-1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, -1/2, 2}, Infinity] -> 
  (1193*S[-1, Infinity]^4)/2592 - (4057*S[-1, Infinity]^2*S[2, Infinity])/
    864 + (12833*S[2, Infinity]^2)/4320 - 
   (4319*S[-1, Infinity]*S[3, Infinity])/864 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (89*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (1195*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 + 
   (59*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/36 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/18 - 
   (263*S[-1, Infinity]*S[3, {-1/2}, Infinity])/36 + 
   (205*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/36 + 
   (181*S[4, {-1/2}, Infinity])/36 - 
   (13*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/6 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/12 + 
   (287*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/144 - 
   (73*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/48 - 
   (73*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 + (31*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/72 + 
   (11*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/8 + 
   (19*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/18 + 
   (13*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/18 - 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/2 + 
   (14*S[1, 3, {-1, 1/2}, Infinity])/9 - (31*S[1, 3, {-1/2, -2}, Infinity])/
    12 + (5*S[1, 3, {-1/2, 1/2}, Infinity])/6 - 
   S[1, 3, {1/2, -1/2}, Infinity]/3 + 
   (13*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (25*S[2, 2, {-1/2, 1/2}, Infinity])/24 + 
   (37*S[2, 2, {1/2, -1/2}, Infinity])/24 + (25*S[-1, 1, 1, 1, Infinity])/
    27 - 2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (8*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity]/6 + 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity]/6 - 
   S[1, 1, 2, {-1, 1/2, 1/2}, Infinity]/6 - 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/12 - 
   (2*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/3 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/12 - 
   S[1, 1, 2, {-1/2, -1/2, -1}, Infinity]/6 + 
   S[1, 1, 2, {-1/2, 1/2, -2}, Infinity]/3 + 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/12 + 
   S[1, 1, 2, {-1/2, 1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/6 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/12 - 
   S[1, 2, 1, {-1, -1/2, -1/2}, Infinity]/2 - 
   S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity]/3 + 
   (2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   (2*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, 2, 1}, Infinity] -> 
  (-11*S[-1, Infinity]^4)/18 + (11*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (5*S[2, Infinity]^2)/12 + (21*S[-1, Infinity]*S[3, Infinity])/8 - 
   S[-1, Infinity]^3*S[1, {-1/2}, Infinity] + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (37*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   3*S[-1, Infinity]*S[3, {-1/2}, Infinity] + 3*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - 10*S[4, {-1/2}, Infinity] + 
   2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + S[1, 3, {-1, 1/2}, Infinity] + 
   (17*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, -1/2, 2, -1}, Infinity] -> 
  (4*S[-1, Infinity]^4)/27 + (S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (649*S[2, Infinity]^2)/360 - (49*S[-1, Infinity]*S[3, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (623*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (37*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (121*S[4, {-1/2}, Infinity])/6 - 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (14*S[1, 3, {-1, 1/2}, Infinity])/3 - (7*S[1, 3, {-1/2, -2}, Infinity])/
    2 + (37*S[-1, 1, 1, 1, Infinity])/9 - 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -1/2, 2, 1/2}, Infinity] -> 
  (-13*S[-1, Infinity]^4)/54 + (19*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (193*S[2, Infinity]^2)/360 + (61*S[-1, Infinity]*S[3, Infinity])/36 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (27*S[3, Infinity]*S[1, {-1/2}, Infinity])/16 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (5*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 - 
   (73*S[4, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 + 
   (2*S[1, 3, {-1, 1/2}, Infinity])/3 + S[1, 3, {-1/2, -2}, Infinity]/2 + 
   (94*S[-1, 1, 1, 1, Infinity])/9 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -1/2, 2, -1/2}, Infinity] -> 
  (-337*S[-1, Infinity]^4)/216 + (89*S[-1, Infinity]^2*S[2, Infinity])/8 + 
   (1891*S[2, Infinity]^2)/180 + (2261*S[-1, Infinity]*S[3, Infinity])/432 + 
   (17*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (16*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (7961*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 + 
   (25*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 + 
   (53*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (29*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 + 
   (461*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (173*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/36 - 
   (593*S[4, {-1/2}, Infinity])/6 + 
   (19*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/6 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 + 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (3*S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (31*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (91*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (187*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 - (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/72 - 
   (31*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   3*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (19*S[1, 1, {1/2, 1/2}, Infinity]^2)/6 + 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (67*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/18 + 
   (19*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 - 
   (11*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 - 
   (25*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 + 
   (40*S[1, 3, {-1, 1/2}, Infinity])/3 - 18*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 + (25*S[1, 3, {1/2, -1/2}, Infinity])/6 - 
   (22*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 - 
   (11*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 - 
   (7*S[2, 2, {-1/2, 1/2}, Infinity])/3 + (25*S[2, 2, {1/2, -1/2}, Infinity])/
    3 + (544*S[-1, 1, 1, 1, Infinity])/9 + 7*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 + 
   (16*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 - 
   11*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - 
   3*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + 
   3*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + S[1, 1, 2, {-1, 1/2, 1/2}, 
    Infinity] + (103*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/12 - 
   (13*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity])/2 - 
   (3*S[1, 1, 2, {-1/2, -1, 1/2}, Infinity])/2 - 
   2*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] - 
   2*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] + 
   (3*S[1, 1, 2, {-1/2, 1/2, -1}, Infinity])/2 - 
   (11*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/6 + 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   (3*S[1, 1, 2, {1/2, -1/2, -1}, Infinity])/2 - 
   6*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] + 
   (5*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 - 
   (4*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 + 
   8*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, 2, 2}, Infinity] -> 
  (19*S[-1, Infinity]^4)/108 - (14*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (443*S[2, Infinity]^2)/180 - (49*S[-1, Infinity]*S[3, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (329*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (65*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (14*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (31*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, 2, -2}, Infinity] -> 
  (22*S[-1, Infinity]^4)/27 + (46*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (379*S[2, Infinity]^2)/360 + (65*S[-1, Infinity]*S[3, Infinity])/8 + 
   (35*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (61*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (1561*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (41*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (5*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   9*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 
   (149*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (11*S[4, {-1/2}, Infinity])/6 + S[-1, Infinity]^2*
    S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (71*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 + S[-1, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] + 
   (13*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (13*S[1, 3, {-1, 1/2}, Infinity])/3 + (9*S[1, 3, {-1/2, -2}, Infinity])/
    2 - 3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   (19*S[-1, 1, 1, 1, Infinity])/9 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   (13*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4 - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, -2, 1}, Infinity] -> 
  S[-1, Infinity]^4/36 - (5*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (7*S[2, Infinity]^2)/24 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (377*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   S[1, {-1/2}, Infinity]^4/24 + (19*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/6 - 13*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (10*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 1, 1, 1, {-1/2, -1/2, -2, -1}, Infinity] -> 
  -S[-1, Infinity]^4 + (23*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (11*S[2, Infinity]^2)/20 + (385*S[-1, Infinity]*S[3, Infinity])/72 - 
   (17*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (35*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (473*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (43*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (7*S[4, {-1/2}, Infinity])/2 + 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   S[1, 3, {-1, 1/2}, Infinity] + (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   6*S[-1, 1, 1, 1, Infinity] + (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -1/2, -2, 1/2}, Infinity] -> 
  (-31*S[-1, Infinity]^4)/216 + (95*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (269*S[2, Infinity]^2)/360 - (671*S[-1, Infinity]*S[3, Infinity])/144 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (31*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (547*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (19*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (49*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (113*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (35*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (29*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    6 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (35*S[1, 3, {-1, 1/2}, Infinity])/3 - (19*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {-1/2, 1/2}, Infinity] - S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   (S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[2, 2, {-1/2, 1/2}, Infinity] - S[2, 2, {1/2, -1/2}, Infinity] + 
   (82*S[-1, 1, 1, 1, Infinity])/9 + S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 + 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, -2, -1/2}, Infinity] -> 
  S[-1, Infinity]^4/36 - (11*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (11*S[2, Infinity]^2)/12 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (377*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   S[1, {-1/2}, Infinity]^4/12 + (13*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/6 - 13*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   4*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (7*S[-1, 1, 1, 1, Infinity])/3 + S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2 - S[1, 1, 1, 1, {-1/2, -2, -1/2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, -2, 2}, Infinity] -> 
  (133*S[-1, Infinity]^4)/216 - (37*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (509*S[2, Infinity]^2)/360 - (835*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (111*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (15*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (21*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (58*S[4, {-1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (20*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (11*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   4*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (19*S[1, 3, {-1, 1/2}, Infinity])/3 - 6*S[1, 3, {-1/2, -2}, Infinity] + 
   S[1, 3, {-1/2, 1/2}, Infinity] + S[1, 3, {1/2, -1/2}, Infinity] + 
   4*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   2*S[2, 2, {-1/2, 1/2}, Infinity] - 2*S[2, 2, {1/2, -1/2}, Infinity] + 
   (41*S[-1, 1, 1, 1, Infinity])/9 - S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, -1/2}, 
    Infinity] - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] - S[1, 1, 2, {-1/2, 1/2, 2}, Infinity] - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity] - S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] + S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -1/2, -2, -2}, Infinity] -> 
  (-7*S[-1, Infinity]^4)/72 - (7*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (47*S[2, Infinity]^2)/30 - (7*S[-1, Infinity]*S[3, Infinity])/2 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (377*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   S[1, {-1/2}, Infinity]^4/24 + (19*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/6 - 13*S[4, {-1/2}, Infinity] + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (19*S[-1, 1, 1, 1, Infinity])/3 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 1, 1, 1, {-1/2, 2, 1, 1}, Infinity] -> 
  (-17*S[-1, Infinity]^4)/72 + (5*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (19*S[2, Infinity]^2)/60 + (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   4*S[-1, Infinity]*S[3, {-1/2}, Infinity] - 7*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (20*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 2, 1, -1}, Infinity] -> (7*S[-1, Infinity]^4)/72 + 
   (5*S[-1, Infinity]^2*S[2, Infinity])/3 - (13*S[2, Infinity]^2)/60 + 
   (7*S[-1, Infinity]*S[3, Infinity])/2 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (31*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 21*S[4, {-1/2}, Infinity] - 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   4*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (28*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 2, 1, 1/2}, Infinity] -> (-5*S[-1, Infinity]^4)/72 - 
   (S[-1, Infinity]^2*S[2, Infinity])/3 - (19*S[2, Infinity]^2)/60 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (21*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + S[4, {-1/2}, Infinity] + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - (4*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 2, 1, -1/2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/18 - (5*S[-1, Infinity]^2*S[2, Infinity])/2 + 
   (323*S[2, Infinity]^2)/120 - (467*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 + 
   (41*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (1199*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (23*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (55*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (3*S[4, {-1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (31*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (20*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   4*S[1, 3, {-1, 1/2}, Infinity] - (9*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   (20*S[-1, 1, 1, 1, Infinity])/3 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, 2, -1, 1}, Infinity] -> (-11*S[-1, Infinity]^4)/108 + 
   (13*S[-1, Infinity]^2*S[2, Infinity])/36 + (49*S[2, Infinity]^2)/180 + 
   (7*S[-1, Infinity]*S[3, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (17*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (8*S[4, {-1/2}, Infinity])/3 + 
   (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, 3, {-1, 1/2}, Infinity]/3 + S[1, 3, {-1/2, -2}, Infinity] + 
   (46*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 1, 1, 1, {-1/2, 2, -1, -1}, Infinity] -> 
  -S[-1, Infinity]^4/18 + (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
   (11*S[2, Infinity]^2)/30 + (91*S[-1, Infinity]*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (15*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   33*S[4, {-1/2}, Infinity] - 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   5*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (58*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 2, -1, 1/2}, Infinity] -> 
  (-79*S[-1, Infinity]^4)/36 + (33*S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (52*S[2, Infinity]^2)/15 + (1871*S[-1, Infinity]*S[3, Infinity])/72 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (101*S[3, Infinity]*S[1, {-1/2}, Infinity])/4 + 
   (32*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   8*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   31*S[4, {-1/2}, Infinity] + 
   (7*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   19*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (16*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 5*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   21*S[1, 3, {-1, 1/2}, Infinity] + 20*S[1, 3, {-1/2, -2}, Infinity] + 
   (50*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 2, -1, -1/2}, Infinity] -> 
  (5*S[-1, Infinity]^4)/54 + (7*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (73*S[2, Infinity]^2)/90 + (7*S[-1, Infinity]*S[3, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (11*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (2*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (25*S[4, {-1/2}, Infinity])/3 - S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] + 3*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] - (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
     S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, 3, {-1, 1/2}, Infinity]/3 - (50*S[-1, 1, 1, 1, Infinity])/9 - 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 2, 1/2, 1}, Infinity] -> 
  S[-1, Infinity]^4/24 - (S[-1, Infinity]^2*S[2, Infinity])/4 - 
   (13*S[2, Infinity]^2)/20 - (7*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   (17*S[3, Infinity]*S[1, {-1/2}, Infinity])/18 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   S[4, {-1/2}, Infinity] + (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, 
      Infinity])/3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/
    12 - S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, 3, {-1, 1/2}, Infinity] - S[1, 3, {-1/2, -2}, Infinity] - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, 2, 1/2, -1}, Infinity] -> 
  (7*S[-1, Infinity]^4)/12 - (23*S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (101*S[2, Infinity]^2)/40 - (1109*S[-1, Infinity]*S[3, Infinity])/72 - 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   5*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (183*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 - 
   (14*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   12*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   18*S[4, {-1/2}, Infinity] + 
   (13*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 - 
   (27*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2/2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   15*S[1, 3, {-1, 1/2}, Infinity] - 14*S[1, 3, {-1/2, -2}, Infinity] - 
   16*S[-1, 1, 1, 1, Infinity], S[1, 1, 1, 1, {-1/2, 2, 1/2, 1/2}, 
   Infinity] -> (-19*S[-1, Infinity]^4)/216 - 
   (115*S[-1, Infinity]^2*S[2, Infinity])/36 - (203*S[2, Infinity]^2)/180 + 
   (1201*S[-1, Infinity]*S[3, Infinity])/432 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   (77*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (3187*S[3, Infinity]*S[1, {-1/2}, Infinity])/216 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/18 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (113*S[-1, Infinity]*S[3, {-1/2}, Infinity])/18 - 
   (131*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/18 + 
   23*S[4, {-1/2}, Infinity] - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/6 + 
   (5*S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/12 - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 - (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (139*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/36 + 
   (53*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (79*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    18 - (2*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 - 
   (5*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (19*S[1, 1, {1/2, 1/2}, Infinity]^2)/6 + 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (8*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   11*S[1, 3, {-1, 1/2}, Infinity] + (19*S[1, 3, {-1/2, -2}, Infinity])/2 - 
   S[1, 3, {-1/2, 1/2}, Infinity]/3 - (7*S[1, 3, {1/2, -1/2}, Infinity])/6 + 
   (7*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/6 + 
   (5*S[2, 2, {-1/2, 1/2}, Infinity])/6 + (13*S[2, 2, {1/2, -1/2}, Infinity])/
    6 + (22*S[-1, 1, 1, 1, Infinity])/9 - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (4*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/3 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 + 
   (5*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/6 + 
   (3*S[1, 1, 2, {1/2, -1, 1/2}, Infinity])/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + S[1, 2, 1, {-1, -1/2, -1/2}, 
    Infinity] - (2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity]/3 - 
   2*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 2, 1/2, -1/2}, Infinity] -> 
  (115*S[-1, Infinity]^4)/216 - (101*S[-1, Infinity]^2*S[2, Infinity])/72 + 
   (35*S[2, Infinity]^2)/72 - (3505*S[-1, Infinity]*S[3, Infinity])/144 + 
   (127*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (3449*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 - 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (25*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 + 
   (35*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (71*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (286*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 - 
   (10*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (101*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (43*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (3*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   2*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] + 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   4*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   (109*S[1, 3, {-1, 1/2}, Infinity])/3 - (61*S[1, 3, {-1/2, -2}, Infinity])/
    2 + S[1, 3, {-1/2, 1/2}, Infinity] + S[1, 3, {1/2, -1/2}, Infinity]/2 + 
   3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   (9*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[2, 2, {-1/2, 1/2}, Infinity] - 2*S[2, 2, {1/2, -1/2}, Infinity] + 
   (41*S[-1, 1, 1, 1, Infinity])/9 - S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 2*S[1, {-1/2}, Infinity]*
    S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   (5*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2 + 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 + 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 + 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] + 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 2, 1/2, 2}, Infinity] -> (13*S[-1, Infinity]^4)/72 + 
   (9*S[-1, Infinity]^2*S[2, Infinity])/4 - (11*S[2, Infinity]^2)/30 + 
   (497*S[-1, Infinity]*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (67*S[3, Infinity]*S[1, {-1/2}, Infinity])/8 + 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   4*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   3*S[1, 3, {-1, 1/2}, Infinity] + 4*S[1, 3, {-1/2, -2}, Infinity] + 
   (32*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 2, 1/2, -2}, Infinity] -> 
  (13*S[-1, Infinity]^4)/72 - (S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (19*S[2, Infinity]^2)/30 - (35*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (641*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (20*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   8*S[4, {-1/2}, Infinity] + S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, 
     Infinity] - 7*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (2*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   3*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   5*S[1, 3, {-1, 1/2}, Infinity] - 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (16*S[-1, 1, 1, 1, Infinity])/3, 
 S[1, 1, 1, 1, {-1/2, 2, -1/2, 1}, Infinity] -> 
  S[-1, Infinity]^4/8 + (37*S[-1, Infinity]^2*S[2, Infinity])/12 - 
   (57*S[2, Infinity]^2)/20 + (373*S[-1, Infinity]*S[3, Infinity])/36 + 
   (17*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (65*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (2867*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 - 
   (17*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (13*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (11*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (139*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 + 
   (25*S[4, {-1/2}, Infinity])/2 - 
   (25*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (43*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (14*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (7*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 - 
   11*S[1, 3, {-1, 1/2}, Infinity] + (21*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   12*S[-1, 1, 1, 1, Infinity] - (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/
    4, S[1, 1, 1, 1, {-1/2, 2, -1/2, -1}, Infinity] -> 
  (-7*S[-1, Infinity]^4)/9 + (11*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (53*S[2, Infinity]^2)/24 + (63*S[-1, Infinity]*S[3, Infinity])/8 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (65*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 + 
   S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   15*S[4, {-1/2}, Infinity] + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[1, {-1/2}, Infinity]*
    S[1, 2, {-1/2, -1/2}, Infinity] - 9*S[1, 3, {-1, 1/2}, Infinity] + 
   7*S[1, 3, {-1/2, -2}, Infinity] + (20*S[-1, 1, 1, 1, Infinity])/3 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, 2, -1/2, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/4 + (17*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (11*S[2, Infinity]^2)/20 + (1141*S[-1, Infinity]*S[3, Infinity])/72 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (13*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 - 
   (751*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (5*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/2 + 
   3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   16*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   73*S[4, {-1/2}, Infinity] + S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, 
     Infinity] - (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (5*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   14*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (10*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - 4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] - 
   2*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   2*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] + 
   2*S[1, {-1/2}, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   25*S[1, 3, {-1, 1/2}, Infinity] + 20*S[1, 3, {-1/2, -2}, Infinity] - 
   3*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] + 
   3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity] - 
   12*S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, 
     Infinity] - 2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1, -1/2, -1/2}, 
     Infinity] + 2*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   2*S[1, {-1/2}, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, 
    Infinity] + 4*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 1, 1, {-1, -1, 1/2, 1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 2, -1/2, -1/2}, Infinity] -> 
  (53*S[-1, Infinity]^4)/36 - (101*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (97*S[2, Infinity]^2)/8 - (973*S[-1, Infinity]*S[3, Infinity])/216 - 
   (31*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (19*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (10463*S[3, Infinity]*S[1, {-1/2}, Infinity])/432 - 
   (95*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/36 - 
   (49*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (38*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/9 - 
   (235*S[-1, Infinity]*S[3, {-1/2}, Infinity])/9 + 
   (11*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/36 + 
   (613*S[4, {-1/2}, Infinity])/6 - 
   (8*S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/3 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/
    3 + S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity] + 
   (40*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/9 + 
   (409*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (134*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    9 - (31*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/72 + 
   (14*S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (17*S[1, 1, {1/2, 1/2}, Infinity]^2)/3 - 
   (5*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/9 - 
   (85*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/18 - 
   (16*S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/3 + 
   (22*S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity])/3 - 
   (50*S[1, 3, {-1, 1/2}, Infinity])/3 + (43*S[1, 3, {-1/2, -2}, Infinity])/
    2 - S[1, 3, {-1/2, 1/2}, Infinity]/3 - 
   (11*S[1, 3, {1/2, -1/2}, Infinity])/3 + 
   (22*S[-1, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (4*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/3 + 
   (4*S[2, 2, {-1/2, 1/2}, Infinity])/3 - (25*S[2, 2, {1/2, -1/2}, Infinity])/
    3 - (173*S[-1, 1, 1, 1, Infinity])/3 - 7*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   (4*S[-1, Infinity]*S[1, 1, 1, {-1, -1/2, 1/2}, Infinity])/3 - 
   (16*S[-1, Infinity]*S[1, 1, 1, {-1/2, -1, -1/2}, Infinity])/3 + 
   11*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, -1/2, 1/2}, Infinity] - 
   2*S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, 1/2, 1/2}, 
    Infinity] - (103*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/12 + 
   6*S[1, 1, 2, {-1/2, -1, -1/2}, Infinity] + S[1, 1, 2, {-1/2, -1, 1/2}, 
    Infinity] + 2*S[1, 1, 2, {-1/2, -1/2, -1}, Infinity] + 
   2*S[1, 1, 2, {-1/2, 1/2, -2}, Infinity] - S[1, 1, 2, {-1/2, 1/2, -1}, 
    Infinity] + (4*S[1, 1, 2, {-1/2, 1/2, 2}, Infinity])/3 - 
   2*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] + S[1, 1, 2, {1/2, -1/2, -1}, 
    Infinity] + 6*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, -1, 1/2}, Infinity] - 
   (5*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity])/3 + 
   (4*S[1, 1, 1, 1, {-1, -1/2, 1/2, 2}, Infinity])/3 - 
   8*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, 2, -1/2, 2}, Infinity] -> 
  -S[-1, Infinity]^4/18 + (7*S[-1, Infinity]^2*S[2, Infinity])/12 + 
   (329*S[2, Infinity]^2)/120 + (21*S[-1, Infinity]*S[3, Infinity])/8 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/4 - 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/4 - 
   (157*S[3, Infinity]*S[1, {-1/2}, Infinity])/48 - 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 - 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/4 + 
   (15*S[4, {-1/2}, Infinity])/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/8 + 
   2*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/2 - 
   3*S[1, 3, {-1, 1/2}, Infinity] + (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (4*S[-1, 1, 1, 1, Infinity])/3 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, 2, -1/2, -2}, Infinity] -> 
  (-37*S[-1, Infinity]^4)/24 - (5*S[-1, Infinity]^2*S[2, Infinity])/3 - 
   (47*S[2, Infinity]^2)/20 - (133*S[-1, Infinity]*S[3, Infinity])/72 - 
   (9*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 - 
   (4*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (31*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (4*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   2*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   9*S[4, {-1/2}, Infinity] + (28*S[-1, Infinity]^2*
     S[1, 1, {1/2, 1/2}, Infinity])/3 + 4*S[2, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] + 10*S[-1, Infinity]*S[1, {-1/2}, Infinity]*
    S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   4*S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (7*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   3*S[1, 3, {-1, 1/2}, Infinity] - S[1, 3, {-1/2, -2}, Infinity] + 
   4*S[-1, 1, 1, 1, Infinity] - (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, -2, 1, 1}, Infinity] -> (9*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[1, {-1/2}, Infinity]^4/24 - (11*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/12 - (3*S[4, {-1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -2, 1, -1}, Infinity] -> (-13*S[-1, Infinity]^4)/72 - 
   (4*S[-1, Infinity]^2*S[2, Infinity])/3 - (23*S[2, Infinity]^2)/24 - 
   (203*S[-1, Infinity]*S[3, Infinity])/36 - 
   (11*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (37*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (1501*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 - 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (59*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (61*S[4, {-1/2}, Infinity])/2 + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (27*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   8*S[1, 3, {-1, 1/2}, Infinity] - (15*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (16*S[-1, 1, 1, 1, Infinity])/3 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -2, 1, 1/2}, Infinity] -> 
  -S[-1, Infinity]^4/6 + (S[-1, Infinity]^2*S[2, Infinity])/6 + 
   (39*S[2, Infinity]^2)/20 + (37*S[-1, Infinity]*S[3, Infinity])/72 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (107*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 + 
   (3*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   3*S[4, {-1/2}, Infinity] + 
   (2*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, -2, 1, -1/2}, Infinity] -> 
  (-39*S[2, Infinity]^2)/40 + (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (7*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   S[1, {-1/2}, Infinity]^4/24 - (11*S[1, {-1/2}, Infinity]*
     S[3, {-1/2}, Infinity])/12 - (3*S[4, {-1/2}, Infinity])/2 + 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (3*S[1, 3, {-1/2, -2}, Infinity])/2 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -2, -1, 1}, Infinity] -> (-55*S[-1, Infinity]^4)/108 + 
   (2*S[-1, Infinity]^2*S[2, Infinity])/9 - (13*S[2, Infinity]^2)/45 - 
   (77*S[-1, Infinity]*S[3, Infinity])/72 - 
   (4*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (83*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   (4*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (5*S[4, {-1/2}, Infinity])/3 + 
   (8*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, 3, {-1, 1/2}, Infinity]/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (40*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {-1/2, -2, -1, -1}, Infinity] -> 
  -S[-1, Infinity]^4/27 + (20*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (71*S[2, Infinity]^2)/180 + (161*S[-1, Infinity]*S[3, Infinity])/24 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (7*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (319*S[3, Infinity]*S[1, {-1/2}, Infinity])/36 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/12 + 
   (5*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (25*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (92*S[4, {-1/2}, Infinity])/3 - S[-1, Infinity]^2*
    S[1, 1, {1/2, 1/2}, Infinity] + 
   (11*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (23*S[1, 3, {-1, 1/2}, Infinity])/3 + 7*S[1, 3, {-1/2, -2}, Infinity] - 
   (88*S[-1, 1, 1, 1, Infinity])/9 + 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, -2, -1, 1/2}, Infinity] -> 
  (-17*S[-1, Infinity]^4)/108 - (5*S[-1, Infinity]^2*S[2, Infinity])/9 + 
   (13*S[2, Infinity]^2)/45 + (49*S[-1, Infinity]*S[3, Infinity])/24 - 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (7*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + S[4, {-1/2}, Infinity]/3 + 
   S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity] + 
   2*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - (7*S[1, 3, {-1, 1/2}, Infinity])/3 + 
   2*S[1, 3, {-1/2, -2}, Infinity] + (40*S[-1, 1, 1, 1, Infinity])/9 + 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -2, -1, -1/2}, Infinity] -> 
  (263*S[-1, Infinity]^4)/108 - (52*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (193*S[2, Infinity]^2)/180 - (1279*S[-1, Infinity]*S[3, Infinity])/72 + 
   (5*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   (35*S[3, Infinity]*S[1, {-1/2}, Infinity])/6 - 
   (3*S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (11*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 - 
   (28*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 - 
   (52*S[4, {-1/2}, Infinity])/3 - 
   (17*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (13*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (8*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 + (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   5*S[1, 1, {1/2, 1/2}, Infinity]^2 + 
   (10*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] + 
   (31*S[1, 3, {-1, 1/2}, Infinity])/3 - 9*S[1, 3, {-1/2, -2}, Infinity] - 
   (64*S[-1, 1, 1, 1, Infinity])/9 - 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, -2, 1/2, 1}, Infinity] -> 
  (-13*S[-1, Infinity]^4)/108 - (4*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   S[2, Infinity]^2/180 - (17*S[-1, Infinity]*S[3, Infinity])/9 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   (61*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 3*S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - (22*S[4, {-1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (10*S[1, 3, {-1, 1/2}, Infinity])/3 - 2*S[1, 3, {-1/2, -2}, Infinity] - 
   (16*S[-1, 1, 1, 1, Infinity])/9, 
 S[1, 1, 1, 1, {-1/2, -2, 1/2, -1}, Infinity] -> 
  (23*S[-1, Infinity]^4)/108 - (19*S[-1, Infinity]^2*S[2, Infinity])/36 - 
   (217*S[2, Infinity]^2)/180 - (35*S[-1, Infinity]*S[3, Infinity])/12 + 
   S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (37*S[3, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/4 + 
   3*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] - 
   (22*S[4, {-1/2}, Infinity])/3 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2 + (10*S[1, 3, {-1, 1/2}, Infinity])/3 - 
   2*S[1, 3, {-1/2, -2}, Infinity] - (16*S[-1, 1, 1, 1, Infinity])/9 - 
   S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -2, 1/2, 1/2}, Infinity] -> 
  (-4*S[-1, Infinity]^4)/27 + (2*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (83*S[2, Infinity]^2)/90 + (29*S[-1, Infinity]*S[3, Infinity])/18 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (2*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/3 - 
   (211*S[3, Infinity]*S[1, {-1/2}, Infinity])/72 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/3 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   (S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (7*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   3*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/12 + 
   (S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (2*S[1, 3, {-1, 1/2}, Infinity])/3 + 2*S[1, 3, {-1/2, -2}, Infinity] + 
   (35*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity]/
    2, S[1, 1, 1, 1, {-1/2, -2, 1/2, -1/2}, Infinity] -> 
  (25*S[-1, Infinity]^4)/216 - (197*S[-1, Infinity]^2*S[2, Infinity])/72 - 
   (617*S[2, Infinity]^2)/360 + (691*S[-1, Infinity]*S[3, Infinity])/144 - 
   (7*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/6 - 
   (31*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 - 
   (193*S[3, Infinity]*S[1, {-1/2}, Infinity])/9 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (7*S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/3 - 
   (41*S[-1, Infinity]*S[3, {-1/2}, Infinity])/6 - 
   (73*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/6 + 
   (137*S[4, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {-1/2, 1/2}, Infinity])/4 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {-1/2, 1/2}, Infinity])/2 - 
   S[1, 1, {-1/2, 1/2}, Infinity]^2/2 - 
   (S[-1, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   (S[2, Infinity]*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, -1/2}, Infinity] + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, -1/2}, Infinity])/2 + 
   S[1, 1, {1/2, -1/2}, Infinity]^2/2 + 
   (10*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (45*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (11*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 - (4*S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, 1, {-1/2, 1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   2*S[1, 1, {1/2, -1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] - 
   (5*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 - 
   (4*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[-1, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity] - 
   (3*S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, 1/2}, Infinity])/2 - 
   S[-1, Infinity]*S[1, 2, {1/2, -1/2}, Infinity] - 
   (47*S[1, 3, {-1, 1/2}, Infinity])/3 + (27*S[1, 3, {-1/2, -2}, Infinity])/
    2 - 3*S[1, 3, {-1/2, 1/2}, Infinity] + (5*S[1, 3, {1/2, -1/2}, Infinity])/
    2 - (3*S[1, {-1/2}, Infinity]*S[2, 1, {-1/2, 1/2}, Infinity])/2 - 
   2*S[2, 2, {-1/2, 1/2}, Infinity] + 2*S[2, 2, {1/2, -1/2}, Infinity] - 
   (94*S[-1, 1, 1, 1, Infinity])/9 - 2*S[-1, Infinity]*
    S[1, 1, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 1, 2, {-1, -1/2, -1/2}, Infinity] - S[1, 1, 2, {-1, -1/2, 1/2}, 
    Infinity] + S[1, 1, 2, {-1, 1/2, -1/2}, Infinity] - 
   S[1, 1, 2, {-1/2, -1, -1/2}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, -1, 1/2}, Infinity]/2 - S[1, 1, 2, {-1/2, -1/2, -1}, 
    Infinity] + S[1, 1, 2, {-1/2, 1/2, -1}, Infinity]/2 - 
   S[1, 1, 2, {-1/2, 1/2, 2}, Infinity]/2 + 
   4*S[1, 1, 2, {-1/2, 1, 1/2}, Infinity] + 
   S[1, 1, 2, {1/2, -1, 1/2}, Infinity]/2 - 
   S[1, 1, 2, {1/2, -1/2, -1}, Infinity]/2 - S[1, 1, 2, {1/2, -1/2, 1}, 
    Infinity] + 2*S[1, 2, 1, {-1, -1/2, -1/2}, Infinity] + 
   2*S[1, 2, 1, {-1/2, 1/2, 1}, Infinity] - 
   2*S[1, 2, 1, {1/2, -1/2, 1}, Infinity] - 
   2*S[1, 1, 1, 1, {-1, -1/2, -1/2, -2}, Infinity] - 
   4*S[1, 1, 1, 1, {-1, -1/2, 1, -1/2}, Infinity] - 
   S[1, 1, 1, 1, {-1/2, -2, -1/2, 1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -2, 1/2, 2}, Infinity] -> 
  (23*S[-1, Infinity]^4)/108 - (7*S[-1, Infinity]^2*S[2, Infinity])/9 - 
   (379*S[2, Infinity]^2)/180 - (35*S[-1, Infinity]*S[3, Infinity])/12 + 
   (S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/12 + 
   (11*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/12 + 
   (479*S[3, Infinity]*S[1, {-1/2}, Infinity])/144 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/6 + 
   (9*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/16 + 
   (19*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/12 - 
   (71*S[4, {-1/2}, Infinity])/6 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/4 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 + 
   (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/24 - 
   S[1, 1, {1/2, 1/2}, Infinity]^2/2 + 
   (S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/6 + 
   (10*S[1, 3, {-1, 1/2}, Infinity])/3 - S[1, 3, {-1/2, -2}, Infinity]/2 - 
   (16*S[-1, 1, 1, 1, Infinity])/9 - 
   (3*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/4, 
 S[1, 1, 1, 1, {-1/2, -2, 1/2, -2}, Infinity] -> 
  (229*S[-1, Infinity]^4)/216 + (47*S[-1, Infinity]^2*S[2, Infinity])/36 + 
   (29*S[2, Infinity]^2)/72 + (91*S[-1, Infinity]*S[3, Infinity])/18 + 
   (10*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 - 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] - 
   (169*S[3, Infinity]*S[1, {-1/2}, Infinity])/24 + 
   (11*S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/8 - 
   S[-1, Infinity]*S[1, {-1/2}, Infinity]^3 + 
   (16*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 - 
   (15*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity])/2 + 
   (35*S[4, {-1/2}, Infinity])/3 - 
   (47*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/6 + 
   (5*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 - 
   (13*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (S[1, {-1/2}, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/4 + 
   (7*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 + 
   (8*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   S[1, {-1/2}, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity] - 
   (20*S[1, 3, {-1, 1/2}, Infinity])/3 + 5*S[1, 3, {-1/2, -2}, Infinity] + 
   (8*S[-1, 1, 1, 1, Infinity])/9 + 
   (9*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity])/2, 
 S[1, 1, 1, 1, {-1/2, -2, -1/2, 1}, Infinity] -> 
  S[2, Infinity]^2/8 + (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   S[1, {-1/2}, Infinity]^4/24 - S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 + S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[1, 1, 2, {-1/2, -2, -1/2}, 
    Infinity], S[1, 1, 1, 1, {-1/2, -2, -1/2, -1}, Infinity] -> 
  -S[-1, Infinity]^4/3 + (S[-1, Infinity]^2*S[2, Infinity])/3 + 
   (6*S[2, Infinity]^2)/5 + (37*S[-1, Infinity]*S[3, Infinity])/36 - 
   (2*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity])/2 + 
   2*S[3, Infinity]*S[1, {-1/2}, Infinity] + 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 - 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 + 
   (2*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   (4*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity] + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (2*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   2*S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -2, -1/2, 2}, Infinity] -> 
  (-49*S[-1, Infinity]^4)/216 - (31*S[-1, Infinity]^2*S[2, Infinity])/18 - 
   (163*S[2, Infinity]^2)/360 - (119*S[-1, Infinity]*S[3, Infinity])/18 - 
   (3*S[-1, Infinity]^3*S[1, {-1/2}, Infinity])/2 + 
   3*S[-1, Infinity]*S[2, Infinity]*S[1, {-1/2}, Infinity] + 
   (20*S[3, Infinity]*S[1, {-1/2}, Infinity])/3 + 
   (S[-1, Infinity]^2*S[1, {-1/2}, Infinity]^2)/4 - 
   (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   (S[-1, Infinity]*S[1, {-1/2}, Infinity]^3)/6 - 
   (8*S[-1, Infinity]*S[3, {-1/2}, Infinity])/3 + 
   5*S[1, {-1/2}, Infinity]*S[3, {-1/2}, Infinity] + 
   (4*S[4, {-1/2}, Infinity])/3 + 
   (11*S[-1, Infinity]^2*S[1, 1, {1/2, 1/2}, Infinity])/3 - 
   (9*S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/2 + 
   (2*S[-1, Infinity]*S[1, {-1/2}, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    3 - (3*S[1, 1, {1/2, 1/2}, Infinity]^2)/2 - 
   (4*S[-1, Infinity]*S[1, 2, {-1/2, -1/2}, Infinity])/3 + 
   (8*S[1, 3, {-1, 1/2}, Infinity])/3 - 4*S[1, 3, {-1/2, -2}, Infinity] - 
   (80*S[-1, 1, 1, 1, Infinity])/9 - S[1, 1, 2, {-1/2, -2, -1/2}, Infinity], 
 S[1, 1, 1, 1, {-1/2, -2, -1/2, -2}, Infinity] -> 
  (33*S[2, Infinity]^2)/40 + (S[2, Infinity]*S[1, {-1/2}, Infinity]^2)/2 + 
   S[1, {-1/2}, Infinity]^4/24 - S[1, {-1/2}, Infinity]*
    S[3, {-1/2}, Infinity] - (S[2, Infinity]*S[1, 1, {1/2, 1/2}, Infinity])/
    2 + S[1, 1, {1/2, 1/2}, Infinity]^2/2 + S[1, 1, 2, {-1/2, -2, -1/2}, 
    Infinity], S[1, -6, Infinity] -> 
  (-31*S[1, Infinity]*S[2, Infinity]^3)/140 - 
   (7*S[2, Infinity]^2*S[3, Infinity])/20 - (S[2, Infinity]*S[5, Infinity])/
    2 + (251*S[7, Infinity])/128, S[1, 6, Infinity] -> 
  (8*S[1, Infinity]*S[2, Infinity]^3)/35 + 
   (2*S[2, Infinity]^2*S[3, Infinity])/5 + S[2, Infinity]*S[5, Infinity] - 
   3*S[7, Infinity], S[1, -5, -1, Infinity] -> 
  (-9*S[2, Infinity]^2*S[3, Infinity])/40 + 
   (31*S[-1, Infinity]^2*S[5, Infinity])/16 + S[2, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*S[-5, -1, Infinity] + S[-1, Infinity]*
    (S[2, Infinity]^3/2 - (5*S[3, Infinity]^2)/4 + S[-5, -1, Infinity]) + 
   S[-5, 1, 1, Infinity], S[1, -5, 1, Infinity] -> 
  (-7*S[2, Infinity]^2*S[3, Infinity])/20 - 
   (31*S[-1, Infinity]*S[1, Infinity]*S[5, Infinity])/16 - 
   (33*S[2, Infinity]*S[5, Infinity])/32 + (121*S[7, Infinity])/128 + 
   S[1, Infinity]*((-11*S[2, Infinity]^3)/20 + (3*S[3, Infinity]^2)/4 - 
     S[-5, -1, Infinity]) - 2*S[-5, 1, 1, Infinity], 
 S[1, 5, -1, Infinity] -> (-13*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[1, Infinity]*((7*S[2, Infinity]^3)/40 - (9*S[3, Infinity]^2)/32) - 
   (31*S[-1, Infinity]^2*S[5, Infinity])/16 - 
   (95*S[2, Infinity]*S[5, Infinity])/32 + S[-1, Infinity]*
    ((-27*S[2, Infinity]^3)/40 + (49*S[3, Infinity]^2)/32 + 
     (31*S[1, Infinity]*S[5, Infinity])/16) + (635*S[7, Infinity])/128 + 
   S[5, -1, -1, Infinity], S[1, 5, 1, Infinity] -> 
  (3*S[2, Infinity]^2*S[3, Infinity])/5 + S[1, Infinity]*
    ((2*S[2, Infinity]^3)/5 - S[3, Infinity]^2/2) - 2*S[7, Infinity], 
 S[1, -4, -2, Infinity] -> (19*S[2, Infinity]^2*S[3, Infinity])/40 + 
   S[1, Infinity]*((193*S[2, Infinity]^3)/420 - (3*S[3, Infinity]^2)/4) - 
   (59*S[2, Infinity]*S[5, Infinity])/32 + (415*S[7, Infinity])/256, 
 S[1, -4, 2, Infinity] -> (-9*S[2, Infinity]^2*S[3, Infinity])/40 + 
   (31*S[-1, Infinity]*S[1, Infinity]*S[5, Infinity])/4 + 
   (67*S[2, Infinity]*S[5, Infinity])/64 + (685*S[7, Infinity])/256 + 
   S[1, Infinity]*((743*S[2, Infinity]^3)/840 - (9*S[3, Infinity]^2)/4 + 
     4*S[-5, -1, Infinity]) + 4*S[-5, 1, 1, Infinity], 
 S[1, 4, -2, Infinity] -> (-99*S[2, Infinity]^2*S[3, Infinity])/140 - 
   (69*S[2, Infinity]*S[5, Infinity])/28 + (5095*S[7, Infinity])/1792 + 
   S[1, Infinity]*((-1069*S[2, Infinity]^3)/840 + (33*S[3, Infinity]^2)/16 - 
     4*S[-5, -1, Infinity]) + S[-1, Infinity]*(-S[2, Infinity]^3/20 + 
     (9*S[3, Infinity]^2)/112 - (31*S[1, Infinity]*S[5, Infinity])/4 + 
     (2*S[-5, -1, Infinity])/7) - (26*S[-5, 1, 1, Infinity])/7 + 
   (2*S[5, -1, -1, Infinity])/7, S[1, 4, 2, Infinity] -> 
  (S[2, Infinity]^2*S[3, Infinity])/2 + S[1, Infinity]*
    ((-8*S[2, Infinity]^3)/105 + S[3, Infinity]^2) + 
   3*S[2, Infinity]*S[5, Infinity] - (109*S[7, Infinity])/16, 
 S[1, -3, -3, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 + 
   (183*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[1, Infinity]*((4*S[2, Infinity]^3)/35 + (9*S[3, Infinity]^2)/32) + 
   (177*S[2, Infinity]*S[5, Infinity])/16 - (387*S[7, Infinity])/16 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/20 + (19*S[3, Infinity]^2)/16 - 
     2*S[-5, -1, Infinity]) - 2*S[-5, 1, 1, Infinity] - 
   2*S[5, -1, -1, Infinity] + 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, -3, 3, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (533*S[2, Infinity]^2*S[3, Infinity])/224 - 
   (2879*S[2, Infinity]*S[5, Infinity])/224 + (1285*S[7, Infinity])/56 + 
   S[1, Infinity]*((-439*S[2, Infinity]^3)/280 + (81*S[3, Infinity]^2)/32 - 
     6*S[-5, -1, Infinity]) + S[-1, Infinity]*((-3*S[2, Infinity]^3)/5 - 
     (39*S[3, Infinity]^2)/112 - (93*S[1, Infinity]*S[5, Infinity])/8 + 
     (24*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 + 
   (24*S[5, -1, -1, Infinity])/7 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[1, 3, -3, Infinity] -> (433*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (67*S[2, Infinity]*S[5, Infinity])/7 - (6101*S[7, Infinity])/448 + 
   S[-1, Infinity]*((17*S[2, Infinity]^3)/40 - (153*S[3, Infinity]^2)/224 + 
     (93*S[1, Infinity]*S[5, Infinity])/8 - (17*S[-5, -1, Infinity])/7) + 
   S[1, Infinity]*((377*S[2, Infinity]^3)/280 - (105*S[3, Infinity]^2)/32 + 
     6*S[-5, -1, Infinity]) + (25*S[-5, 1, 1, Infinity])/7 - 
   (17*S[5, -1, -1, Infinity])/7, S[1, 3, 3, Infinity] -> 
  -(S[2, Infinity]^2*S[3, Infinity])/10 + S[1, Infinity]*
    ((4*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2) - 
   (9*S[2, Infinity]*S[5, Infinity])/2 + (61*S[7, Infinity])/8, 
 S[1, -2, -4, Infinity] -> (-2*S[2, Infinity]^2*S[3, Infinity])/5 + 
   S[1, Infinity]*((-47*S[2, Infinity]^3)/840 + (3*S[3, Infinity]^2)/4) - 
   (67*S[2, Infinity]*S[5, Infinity])/16 + (2179*S[7, Infinity])/256, 
 S[1, -2, 4, Infinity] -> (141*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (1437*S[2, Infinity]*S[5, Infinity])/224 - (17481*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(S[2, Infinity]^3/4 - (45*S[3, Infinity]^2)/112 + 
     (31*S[1, Infinity]*S[5, Infinity])/4 - (10*S[-5, -1, Infinity])/7) + 
   S[1, Infinity]*((143*S[2, Infinity]^3)/168 - (33*S[3, Infinity]^2)/16 + 
     4*S[-5, -1, Infinity]) + (18*S[-5, 1, 1, Infinity])/7 - 
   (10*S[5, -1, -1, Infinity])/7, S[1, 2, -4, Infinity] -> 
  (-36*S[2, Infinity]^2*S[3, Infinity])/35 - 
   (349*S[2, Infinity]*S[5, Infinity])/56 + (20793*S[7, Infinity])/1792 + 
   S[1, Infinity]*((-1223*S[2, Infinity]^3)/840 + (9*S[3, Infinity]^2)/4 - 
     4*S[-5, -1, Infinity]) + S[-1, Infinity]*(-S[2, Infinity]^3/5 + 
     (9*S[3, Infinity]^2)/28 - (31*S[1, Infinity]*S[5, Infinity])/4 + 
     (8*S[-5, -1, Infinity])/7) - (20*S[-5, 1, 1, Infinity])/7 + 
   (8*S[5, -1, -1, Infinity])/7, S[1, 2, 4, Infinity] -> 
  S[2, Infinity]^2*S[3, Infinity] + S[1, Infinity]*
    ((74*S[2, Infinity]^3)/105 - S[3, Infinity]^2) + 
   (11*S[2, Infinity]*S[5, Infinity])/2 - (221*S[7, Infinity])/16, 
 S[1, -1, -5, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (S[2, Infinity]^2*S[3, Infinity])/40 + (23*S[2, Infinity]*S[5, Infinity])/
    8 + S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 + 
     (23*S[5, Infinity])/16) - (441*S[7, Infinity])/64 + 
   S[1, Infinity]*((8*S[2, Infinity]^3)/35 - S[-5, -1, Infinity]) + 
   S[-1, Infinity]*((-2*S[2, Infinity]^3)/5 - (5*S[3, Infinity]^2)/4 - 
     (15*S[1, Infinity]*S[5, Infinity])/16 + S[-5, -1, Infinity]) + 
   S[-5, 1, 1, Infinity] - 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, -1, 5, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (91*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[1, Infinity]*((-111*S[2, Infinity]^3)/280 + (9*S[3, Infinity]^2)/32) + 
   (289*S[2, Infinity]*S[5, Infinity])/64 + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/8 + (77*S[5, Infinity])/32) - 
   (761*S[7, Infinity])/128 + S[-1, Infinity]*((43*S[2, Infinity]^3)/40 - 
     (9*S[3, Infinity]^2)/32 - (15*S[1, Infinity]*S[5, Infinity])/16 - 
     S[-5, -1, Infinity]) - 2*S[5, -1, -1, Infinity] + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[1, 1, -5, Infinity] -> (7*S[2, Infinity]^2*S[3, Infinity])/20 + 
   (31*S[-1, Infinity]*S[1, Infinity]*S[5, Infinity])/16 - 
   (15*S[1, Infinity]^2*S[5, Infinity])/32 + 
   (9*S[2, Infinity]*S[5, Infinity])/16 - (247*S[7, Infinity])/128 + 
   S[1, Infinity]*((23*S[2, Infinity]^3)/70 - (3*S[3, Infinity]^2)/4 + 
     S[-5, -1, Infinity]) + S[-5, 1, 1, Infinity], 
 S[1, 1, 5, Infinity] -> -(S[2, Infinity]^2*S[3, Infinity])/2 + 
   S[1, Infinity]*((-6*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2) + 
   (S[1, Infinity]^2*S[5, Infinity])/2 - (3*S[2, Infinity]*S[5, Infinity])/
    2 + 5*S[7, Infinity], S[1, -4, -1, -1, Infinity] -> 
  (-317*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (3*S[2, Infinity]*S[3, Infinity])/2 - (155*S[5, Infinity])/32) - 
   (5017*S[2, Infinity]*S[5, Infinity])/448 + (9637*S[7, Infinity])/448 + 
   S[-1, Infinity]*((-141*S[2, Infinity]^3)/112 + (403*S[3, Infinity]^2)/
      224 + S[1, Infinity]*((9*S[2, Infinity]*S[3, Infinity])/8 + 
       (155*S[5, Infinity])/32) - (3*S[-5, -1, Infinity])/14) + 
   S[1, Infinity]*((1381*S[2, Infinity]^3)/1680 - (57*S[3, Infinity]^2)/32 + 
     4*S[-5, -1, Infinity]) + (9*S[-5, 1, 1, Infinity])/7 + 
   (53*S[5, -1, -1, Infinity])/14, S[1, -4, -1, 1, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     S[3, Infinity]/12) - (261*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (S[2, Infinity]*S[3, Infinity])/4 - (93*S[5, Infinity])/64) - 
   (1525*S[2, Infinity]*S[5, Infinity])/448 + (15949*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((67*S[2, Infinity]^3)/280 + (25*S[3, Infinity]^2)/56 - 
     (5*S[-5, -1, Infinity])/14) - (5*S[-5, 1, 1, Infinity])/14 + 
   (8*S[5, -1, -1, Infinity])/7 + 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((-59*S[2, Infinity]^3)/420 - S[3, Infinity]^2 + 
     (5*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -4, 1, -1, Infinity] -> 
  S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     S[3, Infinity]/12) - (15*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (3*S[2, Infinity]*S[5, Infinity])/64 + S[-1, Infinity]^2*
    ((7*S[1, Infinity]*S[2, Infinity]^2)/8 + (S[2, Infinity]*S[3, Infinity])/
      4 + (93*S[5, Infinity])/64) + (467*S[7, Infinity])/256 + 
   S[-1, Infinity]*((3*S[2, Infinity]^3)/20 + 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
     (15*S[3, Infinity]^2)/8 + (3*S[-5, -1, Infinity])/2) + 
   (3*S[-5, 1, 1, Infinity])/2 - 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((115*S[2, Infinity]^3)/168 + (3*S[3, Infinity]^2)/8 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -4, 1, 1, Infinity] -> (-7*S[2, Infinity]^2*S[3, Infinity])/40 + 
   (93*S[-1, Infinity]*S[1, Infinity]*S[5, Infinity])/32 + 
   (3*S[2, Infinity]*S[5, Infinity])/64 + (467*S[7, Infinity])/256 + 
   S[1, Infinity]*((113*S[2, Infinity]^3)/840 - (5*S[3, Infinity]^2)/8 + 
     (3*S[-5, -1, Infinity])/2) + (3*S[-5, 1, 1, Infinity])/2, 
 S[1, 4, -1, -1, Infinity] -> (1443*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (1039*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((3*S[1, Infinity]*S[2, Infinity]^2)/4 + 
     (3*S[2, Infinity]*S[3, Infinity])/2 + (155*S[5, Infinity])/32) - 
   (61325*S[7, Infinity])/3584 + S[1, Infinity]*((-11*S[2, Infinity]^3)/42 + 
     (53*S[3, Infinity]^2)/64 - (3*S[-5, -1, Infinity])/2) + 
   S[-1, Infinity]*((607*S[2, Infinity]^3)/560 - 
     (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (85*S[3, Infinity]^2)/56 + (17*S[-5, -1, Infinity])/14) + 
   (17*S[-5, 1, 1, Infinity])/14 - (39*S[5, -1, -1, Infinity])/14, 
 S[1, 4, -1, 1, Infinity] -> 
  S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 - 
     S[3, Infinity]/96) + (43*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (1193*S[2, Infinity]*S[5, Infinity])/224 + 
   S[-1, Infinity]^2*((5*S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (13*S[2, Infinity]*S[3, Infinity])/16 + (217*S[5, Infinity])/64) - 
   (8797*S[7, Infinity])/896 + S[-1, Infinity]*((23*S[2, Infinity]^3)/28 - 
     (445*S[3, Infinity]^2)/448 - (155*S[1, Infinity]*S[5, Infinity])/32 + 
     (5*S[-5, -1, Infinity])/14) - (15*S[-5, 1, 1, Infinity])/7 - 
   (15*S[5, -1, -1, Infinity])/7 + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[1, Infinity]*((-607*S[2, Infinity]^3)/840 + 
     (15*S[3, Infinity]^2)/8 - 4*S[-5, -1, Infinity] + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, 4, 1, -1, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 + 
     S[3, Infinity]/96) - (687*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-5*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (13*S[2, Infinity]*S[3, Infinity])/16 - (217*S[5, Infinity])/64) - 
   (881*S[2, Infinity]*S[5, Infinity])/224 + (7223*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-353*S[2, Infinity]^3)/280 + (1121*S[3, Infinity]^2)/
      448 + S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/2 - 
       (93*S[5, Infinity])/32) - (17*S[-5, -1, Infinity])/14) - 
   (26*S[-5, 1, 1, Infinity])/7 + (9*S[5, -1, -1, Infinity])/7 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((-149*S[2, Infinity]^3)/168 + (49*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, 4, 1, 1, Infinity] -> (23*S[2, Infinity]^2*S[3, Infinity])/10 + 
   S[1, Infinity]*((89*S[2, Infinity]^3)/210 - S[3, Infinity]^2/2) - 
   (61*S[7, Infinity])/8, S[1, -3, -2, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/12 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (27*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/2 + 
     (21*S[2, Infinity]*S[3, Infinity])/8 - (155*S[5, Infinity])/32) - 
   (575*S[2, Infinity]*S[5, Infinity])/448 - (7955*S[7, Infinity])/1792 - 
   (50*S[-5, 1, 1, Infinity])/7 + (5*S[5, -1, -1, Infinity])/14 + 
   S[1, Infinity]*((-403*S[2, Infinity]^3)/240 + (51*S[3, Infinity]^2)/32 - 
     5*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-291*S[2, Infinity]^3)/560 + (2033*S[3, Infinity]^2)/
      448 + S[1, Infinity]*((-27*S[2, Infinity]*S[3, Infinity])/8 - 
       (155*S[5, Infinity])/32) - (15*S[-5, -1, Infinity])/7 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -3, -2, 1, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] + 
   (263*S[2, Infinity]^2*S[3, Infinity])/40 + 
   S[1, Infinity]*((643*S[2, Infinity]^3)/840 - (109*S[3, Infinity]^2)/64) + 
   (141*S[2, Infinity]*S[5, Infinity])/16 - (8209*S[7, Infinity])/256 + 
   S[-1, Infinity]*((21*S[2, Infinity]^3)/40 + (85*S[3, Infinity]^2)/32 - 
     3*S[-5, -1, Infinity]) - 3*S[-5, 1, 1, Infinity] - 
   3*S[5, -1, -1, Infinity] + 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[1, -3, 2, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/6 - 
     (11*S[3, Infinity])/96) + (1181*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (421*S[2, Infinity]*S[5, Infinity])/112 + S[-1, Infinity]^2*
    (-(S[1, Infinity]*S[2, Infinity]^2) - (31*S[2, Infinity]*S[3, Infinity])/
      16 + (155*S[5, Infinity])/32) - (3669*S[7, Infinity])/896 + 
   (29*S[-5, 1, 1, Infinity])/14 - (3*S[5, -1, -1, Infinity])/7 + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((-11*S[2, Infinity]^3)/12 - (99*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((149*S[2, Infinity]^3)/280 - 
     (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (241*S[3, Infinity]^2)/112 + (29*S[-5, -1, Infinity])/14 - 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -3, 2, 1, Infinity] -> (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (1397*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (6809*S[2, Infinity]*S[5, Infinity])/448 + (49965*S[7, Infinity])/1792 + 
   S[1, Infinity]*((-683*S[2, Infinity]^3)/840 + (59*S[3, Infinity]^2)/64 - 
     (7*S[-5, -1, Infinity])/2) + S[-1, Infinity]*((-3*S[2, Infinity]^3)/4 + 
     (25*S[3, Infinity]^2)/224 - (217*S[1, Infinity]*S[5, Infinity])/32 + 
     (30*S[-5, -1, Infinity])/7) - (12*S[-5, 1, 1, Infinity])/7 + 
   (30*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[1, 3, -2, -1, Infinity] -> 
  S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/6 + S[3, Infinity]/6) - 
   (251*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^2*(S[1, Infinity]*S[2, Infinity]^2 - 
     S[2, Infinity]*S[3, Infinity] - (93*S[5, Infinity])/32) - 
   (873*S[2, Infinity]*S[5, Infinity])/112 + (26603*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-297*S[2, Infinity]^3)/280 + 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
     (45*S[3, Infinity]^2)/56 + (9*S[-5, -1, Infinity])/14) + 
   (9*S[-5, 1, 1, Infinity])/14 + (15*S[5, -1, -1, Infinity])/7 - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((13*S[2, Infinity]^3)/12 + (23*S[3, Infinity]^2)/32 - 
     (3*S[-5, -1, Infinity])/2 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, 3, -2, 1, Infinity] -> (733*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (3245*S[2, Infinity]*S[5, Infinity])/448 - (9913*S[7, Infinity])/896 + 
   S[-1, Infinity]*((27*S[2, Infinity]^3)/80 - (243*S[3, Infinity]^2)/448 + 
     (155*S[1, Infinity]*S[5, Infinity])/32 - (27*S[-5, -1, Infinity])/14) + 
   S[1, Infinity]*((677*S[2, Infinity]^3)/1680 - (85*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2) + (29*S[-5, 1, 1, Infinity])/14 - 
   (27*S[5, -1, -1, Infinity])/14, S[1, 3, 2, -1, Infinity] -> 
  S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 - 
     S[3, Infinity]/48) + (447*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (1971*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/2 + 
     (S[2, Infinity]*S[3, Infinity])/8 + (93*S[5, Infinity])/32) - 
   (13675*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((131*S[2, Infinity]^3)/140 - (461*S[3, Infinity]^2)/224 + 
     S[1, Infinity]*((9*S[2, Infinity]*S[3, Infinity])/2 + 
       (217*S[5, Infinity])/32) + S[-5, -1, Infinity]/14) + 
   (71*S[-5, 1, 1, Infinity])/14 - (10*S[5, -1, -1, Infinity])/7 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((589*S[2, Infinity]^3)/336 - (41*S[3, Infinity]^2)/32 + 
     5*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, 3, 2, 1, Infinity] -> (-18*S[2, Infinity]^2*S[3, Infinity])/5 + 
   S[1, Infinity]*((-143*S[2, Infinity]^3)/210 + 3*S[3, Infinity]^2) + 
   (179*S[7, Infinity])/16, S[1, -3, -1, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 - S[3, Infinity]/96) - 
   (31*S[2, Infinity]^2*S[3, Infinity])/70 + S[-1, Infinity]^2*
    ((S[1, Infinity]*S[2, Infinity]^2)/4 - (3*S[2, Infinity]*S[3, Infinity])/
      8 + (31*S[5, Infinity])/4) - (4521*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((571*S[2, Infinity]^3)/560 - (155*S[3, Infinity]^2)/56 - 
     (155*S[1, Infinity]*S[5, Infinity])/16 + (31*S[-5, -1, Infinity])/14) + 
   (17*S[-5, 1, 1, Infinity])/14 - (25*S[5, -1, -1, Infinity])/14 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((-591*S[2, Infinity]^3)/560 + (9*S[3, Infinity]^2)/4 - 
     6*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((601*S[5, Infinity])/224 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -3, -1, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/4 + S[3, Infinity]/4) - 
   (1047*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((3*S[1, Infinity]*S[2, Infinity]^2)/2 - 
     (5*S[2, Infinity]*S[3, Infinity])/8) - (42197*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-209*S[2, Infinity]^3)/560 - (73*S[3, Infinity]^2)/56 - 
     (5*S[-5, -1, Infinity])/14) - (5*S[-5, 1, 1, Infinity])/14 - 
   (5*S[5, -1, -1, Infinity])/14 - 6*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*((327*S[2, Infinity]^3)/280 + 
     (11*S[3, Infinity]^2)/4 - 5*S[-5, -1, Infinity] + 
     6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1425*S[5, Infinity])/224 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, -3, 1, -2, Infinity] -> 
  (-2*S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (17*S[3, Infinity])/48) + (1053*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/2 + 
     (31*S[2, Infinity]*S[3, Infinity])/8) - (1267*S[7, Infinity])/32 - 
   5*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((-9*S[2, Infinity]^3)/56 - (21*S[3, Infinity]^2)/16 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/8 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (193*S[3, Infinity]^2)/32 - 5*S[-5, -1, Infinity] + 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((49*S[5, Infinity])/4 - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -3, 1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 + (5*S[3, Infinity])/32) - 
   (3021*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (29*S[2, Infinity]*S[3, Infinity])/16) + (9259*S[7, Infinity])/896 + 
   S[-5, 1, 1, Infinity]/7 + (8*S[5, -1, -1, Infinity])/7 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/5 - (663*S[3, Infinity]^2)/224 + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/8 - 
       (31*S[5, Infinity])/16) + (8*S[-5, -1, Infinity])/7 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-83*S[2, Infinity]^3)/280 + (5*S[3, Infinity]^2)/4 - 
     S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-243*S[5, Infinity])/112 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 3, -1, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/6 - S[3, Infinity]/6) + 
   (219*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2) + 
     (S[2, Infinity]*S[3, Infinity])/8) + (8997*S[7, Infinity])/896 + 
   S[-1, Infinity]*((209*S[2, Infinity]^3)/560 + 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
     (25*S[3, Infinity]^2)/56 + (5*S[-5, -1, Infinity])/14) + 
   (5*S[-5, 1, 1, Infinity])/14 + (5*S[5, -1, -1, Infinity])/14 + 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((-183*S[2, Infinity]^3)/280 - (29*S[3, Infinity]^2)/64 + 
     5*S[-5, -1, Infinity] - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-2647*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 3, -1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/12 + S[3, Infinity]/48) - 
   (957*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/2 + 
     (5*S[2, Infinity]*S[3, Infinity])/16 - (31*S[5, Infinity])/4) + 
   (6997*S[7, Infinity])/448 + S[-1, Infinity]*((-183*S[2, Infinity]^3)/140 + 
     (1349*S[3, Infinity]^2)/448 + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/8 + (155*S[5, Infinity])/16) - 
     (4*S[-5, -1, Infinity])/7) + (3*S[-5, 1, 1, Infinity])/7 + 
   (24*S[5, -1, -1, Infinity])/7 - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[1, Infinity]*((27*S[2, Infinity]^3)/35 - 4*S[3, Infinity]^2 + 
     6*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-6931*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 3, 1, -2, Infinity] -> (5*S[2, Infinity]^2*S[3, Infinity])/32 + 
   (7*S[2, Infinity]*S[5, Infinity])/4 - (571*S[7, Infinity])/256 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/80 - (9*S[3, Infinity]^2)/64 + 
     (31*S[1, Infinity]*S[5, Infinity])/16 - S[-5, -1, Infinity]/2) + 
   S[1, Infinity]*((-27*S[2, Infinity]^3)/560 - (31*S[3, Infinity]^2)/64 + 
     S[-5, -1, Infinity]) + S[-5, 1, 1, Infinity]/2 - 
   S[5, -1, -1, Infinity]/2, S[1, 3, 1, 2, Infinity] -> 
  (11*S[1, Infinity]*S[2, Infinity]^3)/35 - (S[2, Infinity]*S[5, Infinity])/
    2 + S[7, Infinity]/4, S[1, -2, -3, -1, Infinity] -> 
  (1721*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (155*S[-1, Infinity]^2*S[5, Infinity])/32 + 
   (3207*S[2, Infinity]*S[5, Infinity])/448 - (3697*S[7, Infinity])/448 + 
   S[-1, Infinity]*((211*S[2, Infinity]^3)/140 - (1403*S[3, Infinity]^2)/
      448 + S[1, Infinity]*((27*S[2, Infinity]*S[3, Infinity])/8 + 
       (155*S[5, Infinity])/32) + S[-5, -1, Infinity]/7) + 
   S[1, Infinity]*((25*S[2, Infinity]^3)/24 - (51*S[3, Infinity]^2)/32 + 
     5*S[-5, -1, Infinity]) + (36*S[-5, 1, 1, Infinity])/7 - 
   (33*S[5, -1, -1, Infinity])/14, S[1, -2, -3, 1, Infinity] -> 
  S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/8 + 
     (7*S[3, Infinity])/96) - (703*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((3*S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (7*S[2, Infinity]*S[3, Infinity])/16) - 
   (47*S[2, Infinity]*S[5, Infinity])/16 + (1113*S[7, Infinity])/64 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/40 + 
     (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (5*S[3, Infinity]^2)/4 + S[-5, -1, Infinity]) + S[-5, 1, 1, Infinity] + 
   S[5, -1, -1, Infinity] - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((193*S[2, Infinity]^3)/420 + (179*S[3, Infinity]^2)/64 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -2, 3, -1, Infinity] -> (597*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (155*S[-1, Infinity]^2*S[5, Infinity])/32 - 
   (421*S[2, Infinity]*S[5, Infinity])/112 + (4265*S[7, Infinity])/1792 + 
   S[1, Infinity]*((-127*S[2, Infinity]^3)/336 + (15*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/2) + S[-1, Infinity]*
    ((-131*S[2, Infinity]^3)/112 - (27*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 + (145*S[3, Infinity]^2)/56 - 
     (29*S[-5, -1, Infinity])/14) - (29*S[-5, 1, 1, Infinity])/14 + 
   (3*S[5, -1, -1, Infinity])/7, S[1, -2, 3, 1, Infinity] -> 
  (103*S[2, Infinity]^2*S[3, Infinity])/140 + 
   (3679*S[2, Infinity]*S[5, Infinity])/448 - (23879*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((27*S[2, Infinity]^3)/80 - (243*S[3, Infinity]^2)/448 + 
     (93*S[1, Infinity]*S[5, Infinity])/32 - (27*S[-5, -1, Infinity])/14) + 
   S[1, Infinity]*((23*S[2, Infinity]^3)/120 - (23*S[3, Infinity]^2)/32 + 
     (3*S[-5, -1, Infinity])/2) + (29*S[-5, 1, 1, Infinity])/14 - 
   (27*S[5, -1, -1, Infinity])/14, S[1, 2, -3, -1, Infinity] -> 
  (-15*S[2, Infinity]^2*S[3, Infinity])/32 + 
   (217*S[-1, Infinity]^2*S[5, Infinity])/32 + 
   (159*S[2, Infinity]*S[5, Infinity])/32 - (1633*S[7, Infinity])/512 + 
   S[-1, Infinity]*((171*S[2, Infinity]^3)/80 + 
     (15*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (15*S[3, Infinity]^2)/4 + 3*S[-5, -1, Infinity]) + 
   S[1, Infinity]*((389*S[2, Infinity]^3)/840 - (59*S[3, Infinity]^2)/64 + 
     (7*S[-5, -1, Infinity])/2) + 3*S[-5, 1, 1, Infinity] - 
   S[5, -1, -1, Infinity]/2, S[1, 2, -3, 1, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/8 - 
     (7*S[3, Infinity])/96) - (183*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/4 + 
     (7*S[2, Infinity]*S[3, Infinity])/16) - 
   (1979*S[2, Infinity]*S[5, Infinity])/448 + (633*S[7, Infinity])/112 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/20 + (361*S[3, Infinity]^2)/224 + 
     S[1, Infinity]*((-21*S[2, Infinity]*S[3, Infinity])/8 - 
       (155*S[5, Infinity])/32) + (2*S[-5, -1, Infinity])/7) - 
   (40*S[-5, 1, 1, Infinity])/7 + (2*S[5, -1, -1, Infinity])/7 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((-253*S[2, Infinity]^3)/120 + (71*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/2 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, 2, 3, -1, Infinity] -> (-261*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (217*S[-1, Infinity]^2*S[5, Infinity])/32 - 
   (5101*S[2, Infinity]*S[5, Infinity])/448 + (27145*S[7, Infinity])/1792 + 
   S[1, Infinity]*((-295*S[2, Infinity]^3)/336 + (55*S[3, Infinity]^2)/32 - 
     5*S[-5, -1, Infinity]) + S[-1, Infinity]*((-217*S[2, Infinity]^3)/80 + 
     (1047*S[3, Infinity]^2)/224 + S[1, Infinity]*
      ((-15*S[2, Infinity]*S[3, Infinity])/8 - (93*S[5, Infinity])/32) + 
     (2*S[-5, -1, Infinity])/7) - (33*S[-5, 1, 1, Infinity])/7 + 
   (53*S[5, -1, -1, Infinity])/14, S[1, 2, 3, 1, Infinity] -> 
  (23*S[2, Infinity]^2*S[3, Infinity])/5 + 
   S[1, Infinity]*((29*S[2, Infinity]^3)/21 - 3*S[3, Infinity]^2) - 
   (131*S[7, Infinity])/8, S[1, -2, -2, -2, Infinity] -> 
  (-109*S[1, Infinity]*S[2, Infinity]^3)/560 + 
   (83*S[2, Infinity]^2*S[3, Infinity])/448 - 
   (737*S[2, Infinity]*S[5, Infinity])/448 + (4173*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/8 + (45*S[3, Infinity]^2)/224 + 
     (5*S[-5, -1, Infinity])/7) + (5*S[-5, 1, 1, Infinity])/7 + 
   (5*S[5, -1, -1, Infinity])/7, S[1, -2, -2, 2, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/4 - 
     (7*S[3, Infinity])/48) + (93*S[2, Infinity]^2*S[3, Infinity])/40 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/2 + 
     (7*S[2, Infinity]*S[3, Infinity])/8) + 
   (159*S[2, Infinity]*S[5, Infinity])/32 - (6199*S[7, Infinity])/512 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/20 - 
     (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (5*S[3, Infinity]^2)/2 - 2*S[-5, -1, Infinity]) - 
   2*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((-1003*S[2, Infinity]^3)/560 - (35*S[3, Infinity]^2)/32 - 
     6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -2, 2, -2, Infinity] -> (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/12 + 
     (7*S[3, Infinity])/12) - (681*S[2, Infinity]^2*S[3, Infinity])/64 + 
   S[-1, Infinity]^2*((5*S[1, Infinity]*S[2, Infinity]^2)/2 - 
     (21*S[2, Infinity]*S[3, Infinity])/4) + (16475*S[7, Infinity])/256 + 
   8*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] - 
   14*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/5 + 
     (35*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
     10*S[3, Infinity]^2 + 8*S[-5, -1, Infinity] - 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((45*S[2, Infinity]^3)/16 + (63*S[3, Infinity]^2)/16 + 
     10*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-719*S[5, Infinity])/32 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -2, 2, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/12 - (7*S[3, Infinity])/48) + 
   (789*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/2 + 
     (7*S[2, Infinity]*S[3, Infinity])/4) - (3401*S[7, Infinity])/256 + 
   2*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((37*S[2, Infinity]^3)/80 - (13*S[3, Infinity]^2)/4 + 
     4*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/20 + (5*S[3, Infinity]^2)/2 + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/4 + 
       (31*S[5, Infinity])/4) - 2*S[-5, -1, Infinity] + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((351*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 2, -2, -2, Infinity] -> (-2*S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/6 - 
     (7*S[3, Infinity])/16) + (333*S[2, Infinity]^2*S[3, Infinity])/40 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2) + 
     (35*S[2, Infinity]*S[3, Infinity])/8) - (26075*S[7, Infinity])/512 - 
   6*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((-41*S[2, Infinity]^3)/140 - (91*S[3, Infinity]^2)/32 - 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((21*S[2, Infinity]^3)/20 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
     (15*S[3, Infinity]^2)/2 - 6*S[-5, -1, Infinity] + 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1039*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 2, -2, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/3 + (7*S[3, Infinity])/24) - 
   (2671*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*(2*S[1, Infinity]*S[2, Infinity]^2 - 
     (21*S[2, Infinity]*S[3, Infinity])/8) + (67675*S[7, Infinity])/1792 + 
   (37*S[-5, 1, 1, Infinity])/7 + (37*S[5, -1, -1, Infinity])/7 - 
   7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-37*S[2, Infinity]^3)/40 + 7*S[1, Infinity]*
      S[2, Infinity]*S[3, Infinity] - (1039*S[3, Infinity]^2)/224 + 
     (37*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[1, Infinity]*((73*S[2, Infinity]^3)/35 + 
     (35*S[3, Infinity]^2)/16 + 8*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-13289*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, 2, -2, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/4 - 
     (7*S[3, Infinity])/48) + (19*S[2, Infinity]^2*S[3, Infinity])/20 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/2 + 
     (7*S[2, Infinity]*S[3, Infinity])/8) + 
   (85*S[2, Infinity]*S[5, Infinity])/8 - (10327*S[7, Infinity])/512 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/10 + (31*S[3, Infinity]^2)/16 + 
     S[1, Infinity]*((-21*S[2, Infinity]*S[3, Infinity])/4 - 
       (31*S[5, Infinity])/4) - 4*S[-5, -1, Infinity]) - 
   8*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((-1943*S[2, Infinity]^3)/560 + (17*S[3, Infinity]^2)/16 - 
     4*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, 2, 2, 2, Infinity] -> (31*S[1, Infinity]*S[2, Infinity]^3)/70 + 
   (7*S[2, Infinity]^2*S[3, Infinity])/5 + 2*S[2, Infinity]*S[5, Infinity] - 
   (157*S[7, Infinity])/16, S[1, -2, -1, -3, Infinity] -> 
  S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     (7*S[3, Infinity])/96) - (1381*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/2 - 
     (7*S[2, Infinity]*S[3, Infinity])/16 - (93*S[5, Infinity])/8) - 
   (12507*S[2, Infinity]*S[5, Infinity])/896 + (42717*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-94*S[2, Infinity]^3)/35 + (1229*S[3, Infinity]^2)/448 + 
     S[1, Infinity]*((9*S[2, Infinity]*S[3, Infinity])/8 + 
       (155*S[5, Infinity])/16) - (5*S[-5, -1, Infinity])/14) - 
   (19*S[-5, 1, 1, Infinity])/14 + (79*S[5, -1, -1, Infinity])/14 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((559*S[2, Infinity]^3)/336 - (15*S[3, Infinity]^2)/8 + 
     4*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -2, -1, 3, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/6 - 
     (7*S[3, Infinity])/24) + (3123*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2) + 
     (7*S[2, Infinity]*S[3, Infinity])/4) - 
   (191*S[2, Infinity]*S[5, Infinity])/448 + (865*S[7, Infinity])/896 + 
   S[-1, Infinity]*((197*S[2, Infinity]^3)/112 + 
     (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (125*S[3, Infinity]^2)/56 - (25*S[-5, -1, Infinity])/14) - 
   (25*S[-5, 1, 1, Infinity])/14 - (25*S[5, -1, -1, Infinity])/14 + 
   7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((-1279*S[2, Infinity]^3)/1680 - (53*S[3, Infinity]^2)/64 + 
     5*S[-5, -1, Infinity] - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -2, 1, -3, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/8 - 
     (7*S[3, Infinity])/96) + (29*S[2, Infinity]^2*S[3, Infinity])/20 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/4 + 
     (7*S[2, Infinity]*S[3, Infinity])/16) + 
   (57*S[2, Infinity]*S[5, Infinity])/16 - (1107*S[7, Infinity])/128 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/40 - 
     (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (5*S[3, Infinity]^2)/4 - S[-5, -1, Infinity]) - S[-5, 1, 1, Infinity] - 
   S[5, -1, -1, Infinity] + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((-37*S[2, Infinity]^3)/42 - (3*S[3, Infinity]^2)/8 - 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -2, 1, 3, Infinity] -> (-7*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (29*S[2, Infinity]*S[5, Infinity])/16 + (715*S[7, Infinity])/256 + 
   S[1, Infinity]*((-493*S[2, Infinity]^3)/1680 + (7*S[3, Infinity]^2)/64 - 
     S[-5, -1, Infinity]) + S[-1, Infinity]*((-7*S[2, Infinity]^3)/80 + 
     (9*S[3, Infinity]^2)/64 - (31*S[1, Infinity]*S[5, Infinity])/16 + 
     S[-5, -1, Infinity]/2) - S[-5, 1, 1, Infinity]/2 + 
   S[5, -1, -1, Infinity]/2, S[1, 2, -1, -3, Infinity] -> 
  S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/6 + 
     (5*S[3, Infinity])/24) - (113*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*(S[1, Infinity]*S[2, Infinity]^2 - 
     (5*S[2, Infinity]*S[3, Infinity])/4) + 
   (2081*S[2, Infinity]*S[5, Infinity])/448 - (48561*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-789*S[2, Infinity]^3)/560 - 
     (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (117*S[3, Infinity]^2)/112 - (3*S[-5, -1, Infinity])/14) - 
   (3*S[-5, 1, 1, Infinity])/14 - (3*S[5, -1, -1, Infinity])/14 - 
   5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((139*S[2, Infinity]^3)/120 + (41*S[3, Infinity]^2)/32 - 
     5*S[-5, -1, Infinity] + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, 2, -1, 3, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     S[3, Infinity]/96) + (813*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (12309*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/2 + 
     (S[2, Infinity]*S[3, Infinity])/16 + (93*S[5, Infinity])/8) - 
   (16915*S[7, Infinity])/896 + S[-1, Infinity]*
    ((1469*S[2, Infinity]^3)/560 - (443*S[3, Infinity]^2)/112 + 
     S[1, Infinity]*((-9*S[2, Infinity]*S[3, Infinity])/8 - 
       (155*S[5, Infinity])/16) + (5*S[-5, -1, Infinity])/7) + 
   (12*S[-5, 1, 1, Infinity])/7 - (37*S[5, -1, -1, Infinity])/7 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((-1811*S[2, Infinity]^3)/840 + (57*S[3, Infinity]^2)/32 - 
     4*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, 2, 1, -3, Infinity] -> 
  S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/8 + 
     (7*S[3, Infinity])/96) + (9*S[2, Infinity]^2*S[3, Infinity])/70 + 
   S[-1, Infinity]^2*((3*S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (7*S[2, Infinity]*S[3, Infinity])/16) - 
   (1061*S[2, Infinity]*S[5, Infinity])/224 + (17273*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/20 - (289*S[3, Infinity]^2)/224 + 
     S[1, Infinity]*((21*S[2, Infinity]*S[3, Infinity])/8 + 
       (31*S[5, Infinity])/16) + (6*S[-5, -1, Infinity])/7) + 
   (13*S[-5, 1, 1, Infinity])/7 + (6*S[5, -1, -1, Infinity])/7 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((769*S[2, Infinity]^3)/840 - (17*S[3, Infinity]^2)/32 + 
     S[-5, -1, Infinity] + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, 2, 1, 3, Infinity] -> (-11*S[2, Infinity]^2*S[3, Infinity])/10 + 
   S[1, Infinity]*((17*S[2, Infinity]^3)/42 + S[3, Infinity]^2/2) + 
   (9*S[2, Infinity]*S[5, Infinity])/2 - (61*S[7, Infinity])/8, 
 S[1, -1, -4, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (2557*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (5073*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((3*S[1, Infinity]*S[2, Infinity]^2)/4 + 
     (S[2, Infinity]*S[3, Infinity])/16 + (231*S[5, Infinity])/32) - 
   (33669*S[7, Infinity])/1792 + S[1, Infinity]*
    ((-491*S[2, Infinity]^3)/840 + (33*S[3, Infinity]^2)/32 - 
     4*S[-5, -1, Infinity]) + (19*S[-5, 1, 1, Infinity])/7 - 
   (53*S[5, -1, -1, Infinity])/14 - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*((61*S[2, Infinity]^3)/560 - 
     (247*S[3, Infinity]^2)/112 + S[1, Infinity]*
      ((-3*S[2, Infinity]*S[3, Infinity])/2 - (59*S[5, Infinity])/32) + 
     (59*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[1, -1, -4, 1, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (125*S[2, Infinity]^2*S[3, Infinity])/112 + 
   (1539*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 + 
     (107*S[5, Infinity])/32) - (1475*S[7, Infinity])/112 + 
   S[1, Infinity]*((53*S[2, Infinity]^3)/168 - (5*S[3, Infinity]^2)/8 - 
     (5*S[-5, -1, Infinity])/2) + S[-1, Infinity]*
    ((-179*S[2, Infinity]^3)/280 - (95*S[3, Infinity]^2)/56 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity]) - 
       (59*S[5, Infinity])/32) + (19*S[-5, -1, Infinity])/14) + 
   (19*S[-5, 1, 1, Infinity])/14 - (8*S[5, -1, -1, Infinity])/7 - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], S[1, -1, 4, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (2189*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (S[2, Infinity]*S[3, Infinity])/16 - (313*S[5, Infinity])/64) - 
   (6157*S[2, Infinity]*S[5, Infinity])/448 + (47749*S[7, Infinity])/1792 + 
   S[1, Infinity]*((47*S[2, Infinity]^3)/105 - (21*S[3, Infinity]^2)/32 + 
     4*S[-5, -1, Infinity]) - (11*S[-5, 1, 1, Infinity])/7 + 
   (38*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((47*S[2, Infinity]^3)/280 + (55*S[3, Infinity]^2)/28 + 
     S[1, Infinity]*((15*S[2, Infinity]*S[3, Infinity])/8 + 
       (17*S[5, Infinity])/16) - (11*S[-5, -1, Infinity])/7 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -1, 4, 1, Infinity] -> (-5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (327*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 - 
     (127*S[5, Infinity])/64) - (1705*S[2, Infinity]*S[5, Infinity])/448 + 
   (10215*S[7, Infinity])/1792 + S[-1, Infinity]*((57*S[2, Infinity]^3)/280 + 
     (355*S[3, Infinity]^2)/448 + S[1, Infinity]*
      ((S[2, Infinity]*S[3, Infinity])/2 + (17*S[5, Infinity])/16) - 
     (15*S[-5, -1, Infinity])/14) + S[1, Infinity]*
    ((-179*S[2, Infinity]^3)/840 + (11*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/2) - (25*S[-5, 1, 1, Infinity])/7 + 
   (3*S[5, -1, -1, Infinity])/7 + (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4, S[1, 1, -4, -1, Infinity] -> (43*S[2, Infinity]^2*S[3, Infinity])/40 + 
   S[1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/8 - 
     (59*S[5, Infinity])/64) - (93*S[-1, Infinity]^2*S[5, Infinity])/32 - 
   (155*S[2, Infinity]*S[5, Infinity])/64 - (147*S[7, Infinity])/128 + 
   S[1, Infinity]*((-71*S[2, Infinity]^3)/840 - S[3, Infinity]^2/8 - 
     (3*S[-5, -1, Infinity])/2) + S[-1, Infinity]*
    ((-3*S[1, Infinity]^2*S[2, Infinity]^2)/8 - (9*S[2, Infinity]^3)/8 - 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
     (15*S[3, Infinity]^2)/8 - (3*S[-5, -1, Infinity])/2) - 
   (3*S[-5, 1, 1, Infinity])/2, S[1, 1, -4, 1, Infinity] -> 
  (11*S[2, Infinity]^2*S[3, Infinity])/20 + 
   S[1, Infinity]*((11*S[2, Infinity]^3)/168 - S[3, Infinity]^2/4) + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 - 
     (59*S[5, Infinity])/64) + (37*S[2, Infinity]*S[5, Infinity])/64 - 
   (67*S[7, Infinity])/32 + (3*S[-5, 1, 1, Infinity])/2, 
 S[1, 1, 4, -1, Infinity] -> (121*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/16 + 
     (17*S[5, Infinity])/32) + (93*S[-1, Infinity]^2*S[5, Infinity])/32 + 
   (307*S[2, Infinity]*S[5, Infinity])/56 - (23169*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((3*S[1, Infinity]^2*S[2, Infinity]^2)/8 + 
     (113*S[2, Infinity]^3)/80 - (1047*S[3, Infinity]^2)/448 + 
     S[1, Infinity]*((3*S[2, Infinity]*S[3, Infinity])/2 + 
       (31*S[5, Infinity])/16) - S[-5, -1, Infinity]/7) + 
   S[1, Infinity]*((43*S[2, Infinity]^3)/84 - (55*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2) + (33*S[-5, 1, 1, Infinity])/14 - 
   (23*S[5, -1, -1, Infinity])/14, S[1, 1, 4, 1, Infinity] -> 
  (-13*S[2, Infinity]^2*S[3, Infinity])/5 + 
   S[1, Infinity]*((-11*S[2, Infinity]^3)/21 + (3*S[3, Infinity]^2)/2) + 
   (3*S[2, Infinity]*S[5, Infinity])/2 + 
   (S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity]) + 3*S[5, Infinity]))/
    2 + (109*S[7, Infinity])/16, S[1, -1, -3, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 - S[3, Infinity]/96) - 
   (2097*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (S[2, Infinity]*S[3, Infinity])/2 - (259*S[5, Infinity])/64) - 
   (2935*S[7, Infinity])/1792 + S[-1, Infinity]*(-S[2, Infinity]^3/80 - 
     (89*S[3, Infinity]^2)/448 + S[1, Infinity]*
      ((9*S[2, Infinity]*S[3, Infinity])/8 + (11*S[5, Infinity])/32) - 
     (24*S[-5, -1, Infinity])/7) - (69*S[-5, 1, 1, Infinity])/14 - 
   (13*S[5, -1, -1, Infinity])/14 + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[1, Infinity]*((-89*S[2, Infinity]^3)/840 + (3*S[3, Infinity]^2)/4 + 
     S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-3*S[5, Infinity])/56 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, -3, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/12 - S[3, Infinity]/12) + 
   (43*S[2, Infinity]^2*S[3, Infinity])/70 + S[-1, Infinity]^2*
    (-(S[1, Infinity]*S[2, Infinity]^2)/2 - (S[2, Infinity]*S[3, Infinity])/
      8 - (83*S[5, Infinity])/32) + (7361*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((157*S[2, Infinity]^3)/560 + (5*S[3, Infinity]^2)/7 + 
     S[1, Infinity]*((5*S[2, Infinity]*S[3, Infinity])/4 + 
       (11*S[5, Infinity])/32) - (4*S[-5, -1, Infinity])/7) - 
   (4*S[-5, 1, 1, Infinity])/7 + (27*S[5, -1, -1, Infinity])/14 + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((-179*S[2, Infinity]^3)/840 + (5*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-193*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, -1, 3, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (469*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/16 + 
     (67*S[5, Infinity])/16) - (5377*S[7, Infinity])/256 + 
   S[1, Infinity]*((121*S[2, Infinity]^3)/840 - (33*S[3, Infinity]^2)/64 - 
     (7*S[-5, -1, Infinity])/2) + S[-5, 1, 1, Infinity]/2 - 
   3*S[5, -1, -1, Infinity] - (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[-1, Infinity]*((7*S[2, Infinity]^3)/20 - (5*S[3, Infinity]^2)/8 + 
     S[1, Infinity]*((-9*S[2, Infinity]*S[3, Infinity])/4 - 
       (51*S[5, Infinity])/32) + S[-5, -1, Infinity]/2 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((787*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 3, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (2131*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 + 
     (423*S[5, Infinity])/64) - (2675*S[7, Infinity])/896 + 
   S[1, Infinity]*((-493*S[2, Infinity]^3)/1680 - S[3, Infinity]^2/4 - 
     S[-5, -1, Infinity]) + (32*S[-5, 1, 1, Infinity])/7 - 
   (10*S[5, -1, -1, Infinity])/7 + 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((543*S[2, Infinity]^3)/560 - 
     (131*S[3, Infinity]^2)/448 + S[1, Infinity]*
      ((-5*S[2, Infinity]*S[3, Infinity])/8 - (51*S[5, Infinity])/32) + 
     (29*S[-5, -1, Infinity])/14 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((151*S[5, Infinity])/56 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -3, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/12 + (7*S[3, Infinity])/32) - 
   (99*S[2, Infinity]^2*S[3, Infinity])/16 + S[-1, Infinity]^2*
    ((S[1, Infinity]*S[2, Infinity]^2)/2 - (35*S[2, Infinity]*S[3, Infinity])/
      16) + S[1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/8 + 
     (83*S[5, Infinity])/32) + (3615*S[7, Infinity])/128 + 
   3*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity] - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-21*S[2, Infinity]^3)/40 + 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
     (15*S[3, Infinity]^2)/4 + 3*S[-5, -1, Infinity] - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-13*S[2, Infinity]^3)/420 + (163*S[3, Infinity]^2)/64 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-23*S[5, Infinity])/4 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -3, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/24 - (7*S[3, Infinity])/96) + 
   (1629*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/4 + 
     (7*S[2, Infinity]*S[3, Infinity])/8) + S[1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/16 + (11*S[5, Infinity])/64) - 
   (27729*S[7, Infinity])/1792 + S[-5, 1, 1, Infinity]/14 - 
   (17*S[5, -1, -1, Infinity])/7 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((179*S[2, Infinity]^3)/420 - (121*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((17*S[2, Infinity]^3)/40 + (95*S[3, Infinity]^2)/112 + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
       (155*S[5, Infinity])/32) - (17*S[-5, -1, Infinity])/7 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3203*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, 3, -2, Infinity] -> (41*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/8 - 
     (51*S[5, Infinity])/64) - (1543*S[2, Infinity]*S[5, Infinity])/224 + 
   (531*S[7, Infinity])/56 + S[1, Infinity]*((-59*S[2, Infinity]^3)/210 + 
     (19*S[3, Infinity]^2)/32 - (3*S[-5, -1, Infinity])/2) + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/8 + (135*S[3, Infinity]^2)/224 - 
     (93*S[1, Infinity]*S[5, Infinity])/32 + (15*S[-5, -1, Infinity])/7) + 
   (9*S[-5, 1, 1, Infinity])/14 + (15*S[5, -1, -1, Infinity])/7, 
 S[1, 1, 3, 2, Infinity] -> 2*S[2, Infinity]^2*S[3, Infinity] + 
   S[1, Infinity]*((17*S[2, Infinity]^3)/42 - (3*S[3, Infinity]^2)/2) + 
   S[1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/2 - 
     (9*S[5, Infinity])/4) - (11*S[2, Infinity]*S[5, Infinity])/4 - 
   (5*S[7, Infinity])/8, S[1, -1, -2, -3, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/12 - (7*S[3, Infinity])/96) + 
   (1353*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/2 + 
     (11*S[2, Infinity]*S[3, Infinity])/8 + (351*S[5, Infinity])/64) - 
   (16217*S[7, Infinity])/896 + S[-1, Infinity]*((78*S[2, Infinity]^3)/35 + 
     (173*S[3, Infinity]^2)/224 + S[1, Infinity]*
      ((-15*S[2, Infinity]*S[3, Infinity])/8 + (21*S[5, Infinity])/32) - 
     (8*S[-5, -1, Infinity])/7) + (33*S[-5, 1, 1, Infinity])/14 - 
   (51*S[5, -1, -1, Infinity])/14 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((-853*S[2, Infinity]^3)/1680 - (15*S[3, Infinity]^2)/8 + 
     S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((11569*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, -1, -2, 3, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/6 + (7*S[3, Infinity])/24) - 
   (2217*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*(S[1, Infinity]*S[2, Infinity]^2 - 
     (5*S[2, Infinity]*S[3, Infinity])/2 + (67*S[5, Infinity])/32) + 
   (25561*S[7, Infinity])/1792 + S[-1, Infinity]*
    ((-697*S[2, Infinity]^3)/280 - (305*S[3, Infinity]^2)/56 + 
     S[1, Infinity]*((3*S[2, Infinity]*S[3, Infinity])/2 + 
       (21*S[5, Infinity])/32) + (61*S[-5, -1, Infinity])/14) + 
   (61*S[-5, 1, 1, Infinity])/14 + (13*S[5, -1, -1, Infinity])/7 - 
   7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((503*S[2, Infinity]^3)/420 + (59*S[3, Infinity]^2)/32 - 
     (5*S[-5, -1, Infinity])/2 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-2111*S[5, Infinity])/224 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[1, -1, 2, -3, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/6 - S[3, Infinity]/3) + 
   (1415*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2) + 
     (39*S[2, Infinity]*S[3, Infinity])/16 - (13*S[5, Infinity])/16) - 
   (18967*S[7, Infinity])/448 + S[-1, Infinity]*((72*S[2, Infinity]^3)/35 + 
     (1219*S[3, Infinity]^2)/224 + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/8 - (41*S[5, Infinity])/32) - 
     (83*S[-5, -1, Infinity])/14) - (83*S[-5, 1, 1, Infinity])/14 - 
   (31*S[5, -1, -1, Infinity])/7 + 8*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*((-337*S[2, Infinity]^3)/420 - 
     (69*S[3, Infinity]^2)/64 + (3*S[-5, -1, Infinity])/2 - 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((9419*S[5, Infinity])/448 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[1, -1, 2, 3, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/12 + (5*S[3, Infinity])/48) - 
   (963*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/2 - 
     (9*S[2, Infinity]*S[3, Infinity])/8 - (207*S[5, Infinity])/64) + 
   (4425*S[7, Infinity])/256 + S[-1, Infinity]*((-39*S[2, Infinity]^3)/40 - 
     (117*S[3, Infinity]^2)/64 + S[1, Infinity]*
      (S[2, Infinity]*S[3, Infinity] - (41*S[5, Infinity])/32) + 
     S[-5, -1, Infinity]/2) - 2*S[-5, 1, 1, Infinity] + 
   2*S[5, -1, -1, Infinity] - (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((17*S[2, Infinity]^3)/1680 + (41*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-321*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -2, -3, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (23*S[2, Infinity]^2*S[3, Infinity])/20 + 
   S[1, Infinity]*((403*S[2, Infinity]^3)/840 - (89*S[3, Infinity]^2)/64) + 
   S[1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/16 - 
     (67*S[5, Infinity])/32) - (15*S[2, Infinity]*S[5, Infinity])/4 + 
   (623*S[7, Infinity])/256 + S[-1, Infinity]*((-7*S[2, Infinity]^3)/40 - 
     (19*S[3, Infinity]^2)/32 + S[-5, -1, Infinity]) + 
   S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity], S[1, 1, -2, 3, Infinity] -> 
  -(S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 + 
   (361*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 + 
     (21*S[5, Infinity])/64) - (739*S[2, Infinity]*S[5, Infinity])/448 + 
   (9*S[7, Infinity])/28 + S[1, Infinity]*((-1033*S[2, Infinity]^3)/1680 + 
     (69*S[3, Infinity]^2)/64 - (5*S[-5, -1, Infinity])/2) + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/40 + (87*S[3, Infinity]^2)/112 - 
     (155*S[1, Infinity]*S[5, Infinity])/32 + (3*S[-5, -1, Infinity])/7) - 
   (29*S[-5, 1, 1, Infinity])/14 + (3*S[5, -1, -1, Infinity])/7 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[1, 1, 2, -3, Infinity] -> (-3*S[2, Infinity]^2*S[3, Infinity])/16 + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 - 
     (41*S[5, Infinity])/64) + (59*S[2, Infinity]*S[5, Infinity])/16 - 
   (2433*S[7, Infinity])/512 + S[-1, Infinity]*((7*S[2, Infinity]^3)/80 - 
     (9*S[3, Infinity]^2)/64 + (217*S[1, Infinity]*S[5, Infinity])/32 - 
     S[-5, -1, Infinity]/2) + S[1, Infinity]*((13*S[2, Infinity]^3)/12 - 
     (103*S[3, Infinity]^2)/64 + (7*S[-5, -1, Infinity])/2) + 
   3*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]/2, 
 S[1, 1, 2, 3, Infinity] -> -2*S[2, Infinity]^2*S[3, Infinity] + 
   S[1, Infinity]*((-29*S[2, Infinity]^3)/30 + 2*S[3, Infinity]^2) - 
   (11*S[2, Infinity]*S[5, Infinity])/4 + 
   (S[1, Infinity]^2*(-2*S[2, Infinity]*S[3, Infinity] + 
      (11*S[5, Infinity])/2))/2 + (221*S[7, Infinity])/16, 
 S[1, -1, -1, -4, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (1327*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[1, Infinity]*((-71*S[2, Infinity]^3)/112 + (3*S[3, Infinity]^2)/4) + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (3*S[2, Infinity]*S[3, Infinity])/8 + (281*S[5, Infinity])/64) - 
   (10883*S[7, Infinity])/896 + S[-1, Infinity]*((43*S[2, Infinity]^3)/20 - 
     (333*S[3, Infinity]^2)/448 + S[1, Infinity]*
      ((3*S[2, Infinity]*S[3, Infinity])/8 - 2*S[5, Infinity]) - 
     (37*S[-5, -1, Infinity])/14) - S[-5, 1, 1, Infinity]/7 - 
   (51*S[5, -1, -1, Infinity])/14 + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((8573*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, -1, 4, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (97*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/5 - 
     (3*S[2, Infinity]*S[3, Infinity])/8 + (187*S[5, Infinity])/32) - 
   (90453*S[7, Infinity])/3584 + S[1, Infinity]*((17*S[2, Infinity]^3)/70 - 
     (11*S[3, Infinity]^2)/64 - (5*S[-5, -1, Infinity])/2) + 
   S[-1, Infinity]*((-309*S[2, Infinity]^3)/560 - (165*S[3, Infinity]^2)/56 + 
     S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/4 - 
       2*S[5, Infinity]) + (33*S[-5, -1, Infinity])/14) + 
   (33*S[-5, 1, 1, Infinity])/14 - (37*S[5, -1, -1, Infinity])/14 - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((4661*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, -1, 1, -4, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     S[3, Infinity]/6) - (161*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[-1, Infinity]^2*((7*S[1, Infinity]*S[2, Infinity]^2)/10 - 
     (3*S[2, Infinity]*S[3, Infinity])/2 + (47*S[5, Infinity])/16) + 
   (1401*S[7, Infinity])/256 + S[-1, Infinity]*((-7*S[2, Infinity]^3)/5 - 
     (35*S[3, Infinity]^2)/8 + S[1, Infinity]*
      (S[2, Infinity]*S[3, Infinity] + (29*S[5, Infinity])/32) + 
     (7*S[-5, -1, Infinity])/2) + (7*S[-5, 1, 1, Infinity])/2 - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((22*S[2, Infinity]^3)/35 + (9*S[3, Infinity]^2)/8 - 
     S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-299*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 1, 4, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (17*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 - 
     (5*S[3, Infinity])/96) + (67*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[-1, Infinity]^2*((-17*S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (9*S[2, Infinity]*S[3, Infinity])/16 + (95*S[5, Infinity])/64) - 
   5*S[7, Infinity] + S[-1, Infinity]*((177*S[2, Infinity]^3)/140 + 
     (57*S[3, Infinity]^2)/64 + S[1, Infinity]*
      (-(S[2, Infinity]*S[3, Infinity])/2 + (29*S[5, Infinity])/32) - 
     (3*S[-5, -1, Infinity])/2) + S[-5, 1, 1, Infinity] - 
   S[5, -1, -1, Infinity] + (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((-59*S[2, Infinity]^3)/280 - (65*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((345*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -1, -4, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (5*S[3, Infinity])/24) + (11*S[2, Infinity]^2*S[3, Infinity])/16 + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]*S[2, Infinity]^2)/10 + 
     (5*S[2, Infinity]*S[3, Infinity])/4 - (155*S[5, Infinity])/64) + 
   S[1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 + 
     (91*S[5, Infinity])/64) + (1885*S[7, Infinity])/256 + 
   S[-1, Infinity]*((S[1, Infinity]^2*S[2, Infinity]^2)/5 + 
     (13*S[2, Infinity]^3)/10 + (25*S[3, Infinity]^2)/8 - 
     (5*S[-5, -1, Infinity])/2) - (5*S[-5, 1, 1, Infinity])/2 + 
   5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((-27*S[2, Infinity]^3)/35 + S[3, Infinity]^2/4 + 
     (5*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-17*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -1, 4, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 + 
     S[3, Infinity]/12) - (111*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[-1, Infinity]^2*((17*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (S[2, Infinity]*S[3, Infinity])/2 - (403*S[5, Infinity])/64) + 
   S[1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/16 - S[5, Infinity]) + 
   (1081*S[7, Infinity])/64 + S[-1, Infinity]*
    ((-7*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (87*S[2, Infinity]^3)/40 + 
     (19*S[3, Infinity]^2)/16 + (155*S[1, Infinity]*S[5, Infinity])/32 + 
     (3*S[-5, -1, Infinity])/2) + 4*S[5, -1, -1, Infinity] - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((123*S[2, Infinity]^3)/140 - (15*S[3, Infinity]^2)/16 + 
     S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-191*S[5, Infinity])/16 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, 1, -4, Infinity] -> (-7*S[1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (47*S[2, Infinity]^2*S[3, Infinity])/120 + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 + 
     (29*S[5, Infinity])/64) - (93*S[-1, Infinity]*S[1, Infinity]*
     S[5, Infinity])/32 - (19*S[2, Infinity]*S[5, Infinity])/32 + 
   (111*S[7, Infinity])/256 + S[1, Infinity]*((-167*S[2, Infinity]^3)/280 + 
     (7*S[3, Infinity]^2)/8 - (3*S[-5, -1, Infinity])/2) - 
   (3*S[-5, 1, 1, Infinity])/2, S[1, 1, 1, 4, Infinity] -> 
  (S[1, Infinity]^3*S[2, Infinity]^2)/15 + 
   (17*S[2, Infinity]^2*S[3, Infinity])/15 + 
   S[1, Infinity]*((37*S[2, Infinity]^3)/70 - S[3, Infinity]^2) + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 - S[5, Infinity]) + 
   S[2, Infinity]*S[5, Infinity] - 5*S[7, Infinity], 
 S[1, -3, -1, -1, -1, Infinity] -> (23*S[-1, Infinity]^7)/1260 - 
   (2*S[-1, Infinity]^6*S[1, Infinity])/45 - 
   (S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/4 + (7*S[3, Infinity])/48) - 
   (13*S[2, Infinity]^2*S[3, Infinity])/224 + (3729*S[7, Infinity])/1792 + 
   S[-5, 1, 1, Infinity]/14 + S[5, -1, -1, Infinity]/14 + 
   S[-1, Infinity]^3*((2*S[2, Infinity]^2)/5 - (2*S[-1, 1, 1, 1, Infinity])/
      3) - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((43*S[2, Infinity]^3)/40 - 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
     (59*S[3, Infinity]^2)/112 + S[-5, -1, Infinity]/14 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((991*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((155*S[5, Infinity])/64 + 
     S[1, Infinity]*((29*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((503*S[2, Infinity]^3)/1680 + (15*S[3, Infinity]^2)/16 - 
     (11*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -3, -1, -1, 1, Infinity] -> (7*S[-1, Infinity]^7)/360 - 
   (S[-1, Infinity]^6*S[1, Infinity])/20 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((13*S[1, Infinity]*S[2, Infinity])/48 + 
     (3*S[3, Infinity])/64) + (731*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (220341*S[7, Infinity])/7168 + (22*S[-5, 1, 1, Infinity])/7 - 
   (129*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((71*S[2, Infinity]^2)/120 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((19*S[2, Infinity]*S[3, Infinity])/32 + 
     (775*S[5, Infinity])/64 + S[1, Infinity]*(-S[2, Infinity]^2/4 + 
       S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((10173*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-1151*S[2, Infinity]^3)/840 - S[3, Infinity]^2/32 - 
     (3*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((829*S[2, Infinity]^3)/1120 - (761*S[3, Infinity]^2)/
      224 + (8*S[-5, -1, Infinity])/7 + S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*((-279*S[5, Infinity])/64 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -3, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/252 + (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (S[-1, Infinity]^5*S[2, Infinity])/40 + (S[-1, Infinity]^4*S[3, Infinity])/
    12 - (223*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (617*S[2, Infinity]*S[5, Infinity])/896 + (23115*S[7, Infinity])/7168 - 
   (71*S[-5, 1, 1, Infinity])/14 + (5*S[5, -1, -1, Infinity])/28 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-31*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (3*S[2, Infinity]*S[3, Infinity])/8 - (155*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-79*S[2, Infinity]^3)/224 + (531*S[3, Infinity]^2)/224 - 
     (9*S[-5, -1, Infinity])/28 + S[1, Infinity]*
      ((-39*S[2, Infinity]*S[3, Infinity])/16 - (31*S[5, Infinity])/4 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-209*S[2, Infinity]^3)/336 + (173*S[3, Infinity]^2)/64 - 
     (31*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -3, -1, 1, 1, Infinity] -> -S[-1, Infinity]^7/2520 - 
   (S[-1, Infinity]^6*S[1, Infinity])/360 + 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     (19*S[3, Infinity])/96) + (3307*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((4*S[1, Infinity]*S[2, Infinity]^2)/5 - 
     (5*S[2, Infinity]*S[3, Infinity])/16 - (31*S[5, Infinity])/64) + 
   (1121*S[2, Infinity]*S[5, Infinity])/448 - (14107*S[7, Infinity])/896 + 
   S[-1, Infinity]*((-6*S[2, Infinity]^3)/35 + (37*S[3, Infinity]^2)/224 - 
     (19*S[-5, -1, Infinity])/14) - (19*S[-5, 1, 1, Infinity])/14 - 
   (6*S[5, -1, -1, Infinity])/7 - 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((83*S[2, Infinity]^3)/60 + (17*S[3, Infinity]^2)/64 - 
     3*S[-5, -1, Infinity] + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -3, 1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^7)/168 + 
   (7*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    ((-3*S[1, Infinity]*S[2, Infinity])/16 + (65*S[3, Infinity])/192) - 
   (1153*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (1271*S[2, Infinity]*S[5, Infinity])/448 - (1151*S[7, Infinity])/3584 - 
   (18*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/40 - 
     (7*S[1, Infinity]*S[3, Infinity])/24 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-97*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (5*S[2, Infinity]*S[3, Infinity])/32 - (279*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-843*S[2, Infinity]^3)/560 + (31*S[3, Infinity]^2)/112 + 
     (33*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-11*S[2, Infinity]*S[3, Infinity])/16 - (155*S[5, Infinity])/64 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-121*S[2, Infinity]^3)/168 + (9*S[3, Infinity]^2)/64 + 
     S[-5, -1, Infinity]/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -3, 1, -1, 1, Infinity] -> (-11*S[-1, Infinity]^7)/420 + 
   (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 - S[3, Infinity]/12) + 
   (4111*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (1699*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]*S[2, Infinity]^2)/5 + 
     (43*S[2, Infinity]*S[3, Infinity])/16 + (31*S[5, Infinity])/16) - 
   (10279*S[7, Infinity])/224 - (22*S[-5, 1, 1, Infinity])/7 - 
   (36*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((13*S[2, Infinity]^2)/60 - (7*S[1, Infinity]*S[3, Infinity])/24 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 9*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((19*S[2, Infinity]^3)/28 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (929*S[3, Infinity]^2)/224 - (22*S[-5, -1, Infinity])/7 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-137*S[2, Infinity]^3)/210 - (193*S[3, Infinity]^2)/64 + 
     4*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -3, 1, 1, -1, Infinity] -> (-83*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^6*S[1, Infinity])/30 + (S[-1, Infinity]^5*S[2, Infinity])/
    5 + S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 + 
     (5*S[3, Infinity])/32) + (21*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (1525*S[7, Infinity])/128 - 2*S[-5, 1, 1, Infinity] + 
   S[5, -1, -1, Infinity] + (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^3*((-43*S[2, Infinity]^2)/120 - 
     (7*S[1, Infinity]*S[3, Infinity])/24 + (4*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]*((51*S[2, Infinity]^3)/56 - 
     (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (5*S[3, Infinity]^2)/2 - 2*S[-5, -1, Infinity] - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-287*S[5, Infinity])/64 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/2 - (279*S[5, Infinity])/64 + 
     S[1, Infinity]*((7*S[2, Infinity]^2)/20 - S[-1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((337*S[2, Infinity]^3)/840 + (9*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -3, 1, 1, 1, Infinity] -> 
  (-2*S[-1, Infinity]^7)/63 + (S[-1, Infinity]^6*S[1, Infinity])/36 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/30 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/6 + (43*S[3, Infinity])/96) - 
   (201*S[2, Infinity]^2*S[3, Infinity])/80 + (517*S[7, Infinity])/128 + 
   2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/2 - (7*S[1, Infinity]*S[3, Infinity])/
      24 + (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/4 + S[1, Infinity]*
      (S[2, Infinity]^2/4 - S[-1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-93*S[5, Infinity])/64 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-85*S[2, Infinity]^3)/168 + (41*S[3, Infinity]^2)/64 - 
     S[-5, -1, Infinity]/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-7*S[2, Infinity]^3)/40 - 3*S[3, Infinity]^2 + S[-5, -1, Infinity] - 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/8 - 
       (31*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 3, -1, -1, -1, Infinity] -> -S[-1, Infinity]^7/420 + 
   (S[-1, Infinity]^6*S[1, Infinity])/60 - (S[-1, Infinity]^5*S[2, Infinity])/
    120 + S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/6 - 
     (7*S[3, Infinity])/32) - (37*S[2, Infinity]^2*S[3, Infinity])/70 + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/30 + 
     (7*S[1, Infinity]*S[3, Infinity])/24) - 
   (6963*S[2, Infinity]*S[5, Infinity])/896 + (3055*S[7, Infinity])/224 + 
   S[1, Infinity]*((937*S[2, Infinity]^3)/840 - (35*S[3, Infinity]^2)/16 + 
     5*S[-5, -1, Infinity]) + (67*S[-5, 1, 1, Infinity])/28 + 
   (37*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^2*
    ((-19*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (7*S[2, Infinity]*S[3, Infinity])/8 - (155*S[5, Infinity])/64 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-31*S[2, Infinity]^3)/20 - (27*S[3, Infinity]^2)/112 + 
     (37*S[-5, -1, Infinity])/14 + S[1, Infinity]*
      ((19*S[2, Infinity]*S[3, Infinity])/8 + (279*S[5, Infinity])/64 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 3, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/840 + (S[-1, Infinity]^6*S[1, Infinity])/180 - 
   (S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/24 - (11*S[3, Infinity])/32) - 
   (1087*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/40 + 
     (7*S[1, Infinity]*S[3, Infinity])/24) + 
   (989*S[2, Infinity]*S[5, Infinity])/896 + S[-1, Infinity]^2*
    ((-83*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (S[2, Infinity]*S[3, Infinity])/8 + (217*S[5, Infinity])/128) + 
   (5659*S[7, Infinity])/1792 + S[-1, Infinity]*((27*S[2, Infinity]^3)/280 + 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (195*S[3, Infinity]^2)/112 + (39*S[-5, -1, Infinity])/28) + 
   (39*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/14 + 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((-317*S[2, Infinity]^3)/210 + (9*S[3, Infinity]^2)/16 + 
     (21*S[-5, -1, Infinity])/4 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 3, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/180 + 
   (11*S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (S[-1, Infinity]^5*S[2, Infinity])/24 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/8 - (5*S[3, Infinity])/24) - 
   (3869*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (264163*S[7, Infinity])/7168 - (57*S[-5, 1, 1, Infinity])/28 + 
   (111*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((7*S[1, Infinity]*S[3, Infinity])/24 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((801*S[2, Infinity]^3)/1120 + 
     (25*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (285*S[3, Infinity]^2)/112 - (57*S[-5, -1, Infinity])/28 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-14291*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((13*S[2, Infinity]*S[3, Infinity])/16 - (1271*S[5, Infinity])/128 + 
     S[1, Infinity]*((137*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((2363*S[2, Infinity]^3)/1680 + (223*S[3, Infinity]^2)/128 - 
     3*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 3, -1, 1, 1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/40 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/16 - (37*S[3, Infinity])/192) + 
   (89*S[2, Infinity]^2*S[3, Infinity])/320 - (11263*S[7, Infinity])/1024 + 
   (7*S[-5, 1, 1, Infinity])/4 - (3*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/120 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((677*S[2, Infinity]^3)/1680 - (251*S[3, Infinity]^2)/128 + 
     (5*S[-5, -1, Infinity])/2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((23*S[2, Infinity]*S[3, Infinity])/32 - 
     (713*S[5, Infinity])/128 + S[1, Infinity]*((39*S[2, Infinity]^2)/80 - 
       S[-1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((819*S[5, Infinity])/128 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((509*S[2, Infinity]^3)/1120 + (97*S[3, Infinity]^2)/64 - 
     (15*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
       (31*S[5, Infinity])/4 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 3, 1, -1, -1, Infinity] -> (47*S[-1, Infinity]^7)/2520 - 
   (S[-1, Infinity]^6*S[1, Infinity])/24 - (S[-1, Infinity]^5*S[2, Infinity])/
    30 + S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/6 + 
     (11*S[3, Infinity])/96) - (3183*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (86335*S[7, Infinity])/7168 + (3*S[-5, 1, 1, Infinity])/14 + 
   (41*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((31*S[2, Infinity]^2)/120 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*(S[2, Infinity]^3/32 - 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (15*S[3, Infinity]^2)/56 + (3*S[-5, -1, Infinity])/14 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((67*S[2, Infinity]^3)/120 + (67*S[3, Infinity]^2)/128 - 
     (3*S[-5, -1, Infinity])/2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1619*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/
      16 - (31*S[5, Infinity])/64 + S[1, Infinity]*
      ((37*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 3, 1, -1, 1, Infinity] -> (5*S[-1, Infinity]^7)/252 - 
   (17*S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (S[-1, Infinity]^5*S[2, Infinity])/10 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/4 - S[3, Infinity]/48) + 
   (4189*S[2, Infinity]^2*S[3, Infinity])/2240 - (19751*S[7, Infinity])/448 + 
   (57*S[-5, 1, 1, Infinity])/14 - (83*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((9*S[2, Infinity]^2)/20 - (2*S[-1, 1, 1, 1, Infinity])/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/8 + 
     (589*S[5, Infinity])/64 + S[1, Infinity]*((-17*S[2, Infinity]^2)/40 + 
       S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((15233*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-205*S[2, Infinity]^3)/168 - (183*S[3, Infinity]^2)/128 + 
     4*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((6*S[2, Infinity]^3)/35 - (1405*S[3, Infinity]^2)/448 - 
     (10*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((155*S[5, Infinity])/64 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 3, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/280 + (S[-1, Infinity]^6*S[1, Infinity])/90 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/48 - 
     S[3, Infinity]/192) - (87*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (2545*S[2, Infinity]*S[5, Infinity])/896 + (68555*S[7, Infinity])/7168 + 
   (5*S[-5, 1, 1, Infinity])/7 + (27*S[5, -1, -1, Infinity])/28 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/16 + 
     (S[2, Infinity]*S[3, Infinity])/32 - (93*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-27*S[2, Infinity]^3)/160 - (25*S[3, Infinity]^2)/224 + 
     (27*S[-5, -1, Infinity])/28 + S[1, Infinity]*
      ((3*S[2, Infinity]*S[3, Infinity])/2 + (31*S[5, Infinity])/32 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((107*S[2, Infinity]^3)/105 + (7*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity]/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 3, 1, 1, 1, Infinity] -> (-6*S[2, Infinity]^2*S[3, Infinity])/5 + 
   S[1, Infinity]*((2*S[2, Infinity]^3)/105 + S[3, Infinity]^2) + 
   3*S[7, Infinity], S[1, -2, -2, -1, -1, Infinity] -> 
  (8*S[-1, Infinity]^7)/315 - (S[-1, Infinity]^6*S[1, Infinity])/15 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (5*S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/12 + 
   (3767*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (259201*S[7, Infinity])/7168 + (45*S[-5, 1, 1, Infinity])/28 - 
   (109*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (-S[2, Infinity]^2/6 - (4*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]*((-1537*S[2, Infinity]^3)/1120 - 
     (39*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (225*S[3, Infinity]^2)/112 + (45*S[-5, -1, Infinity])/28 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((6719*S[5, Infinity])/448 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-15*S[2, Infinity]*S[3, Infinity])/16 + (279*S[5, Infinity])/32 + 
     S[1, Infinity]*((-39*S[2, Infinity]^2)/20 + 
       2*S[-1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-813*S[2, Infinity]^3)/280 - (173*S[3, Infinity]^2)/64 + 
     (9*S[-5, -1, Infinity])/2 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -2, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^7)/630 - (S[-1, Infinity]^6*S[1, Infinity])/20 - 
   (S[-1, Infinity]^5*S[2, Infinity])/10 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/4 - S[3, Infinity]/48) + 
   (187*S[2, Infinity]^2*S[3, Infinity])/2240 + (23407*S[7, Infinity])/1792 + 
   S[-5, 1, 1, Infinity]/28 + (9*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/6 - (4*S[-1, 1, 1, 1, Infinity])/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((-233*S[2, Infinity]^3)/280 - (25*S[3, Infinity]^2)/128 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-6457*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-11*S[2, Infinity]*S[3, Infinity])/32 + (341*S[5, Infinity])/64 + 
     S[1, Infinity]*((-39*S[2, Infinity]^2)/40 + 
       2*S[-1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-283*S[2, Infinity]^3)/280 - (817*S[3, Infinity]^2)/
      896 + (127*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*((-403*S[5, Infinity])/64 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/210 + (S[-1, Infinity]^6*S[1, Infinity])/60 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/12 - 
   (237*S[2, Infinity]^2*S[3, Infinity])/140 - 
   (519*S[2, Infinity]*S[5, Infinity])/28 + (195141*S[7, Infinity])/3584 - 
   (39*S[-5, 1, 1, Infinity])/14 + (87*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^2*((19*S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (15*S[2, Infinity]*S[3, Infinity])/32 - (31*S[5, Infinity])/4 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((537*S[2, Infinity]^3)/560 + (2343*S[3, Infinity]^2)/896 + 
     (12*S[-5, -1, Infinity])/7 + S[1, Infinity]*
      ((15*S[2, Infinity]*S[3, Infinity])/16 - (31*S[5, Infinity])/16 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((61*S[2, Infinity]^3)/35 + (113*S[3, Infinity]^2)/64 - 
     (9*S[-5, -1, Infinity])/2 + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   24*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (7*S[3, Infinity])/192) - (259*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (7*S[2, Infinity]*S[3, Infinity])/32) + 
   (47*S[2, Infinity]*S[5, Infinity])/32 + (555*S[7, Infinity])/512 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/80 - 
     (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (5*S[3, Infinity]^2)/8 - S[-5, -1, Infinity]/2) - 
   S[-5, 1, 1, Infinity]/2 - S[5, -1, -1, Infinity]/2 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-55*S[2, Infinity]^3)/112 + (45*S[3, Infinity]^2)/128 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[1, -2, 2, -1, -1, Infinity] -> S[-1, Infinity]^7/45 + 
   (S[-1, Infinity]^6*S[1, Infinity])/90 - (S[-1, Infinity]^5*S[2, Infinity])/
    20 - (23*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (43*S[2, Infinity]^2*S[3, Infinity])/35 - 
   (8861*S[2, Infinity]*S[5, Infinity])/448 + (218077*S[7, Infinity])/3584 - 
   (13*S[-5, 1, 1, Infinity])/7 + (93*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/2 + (7*S[1, Infinity]*S[3, Infinity])/
      12 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((19*S[1, Infinity]*S[2, Infinity]^2)/20 - 
     (9*S[2, Infinity]*S[3, Infinity])/16 - (279*S[5, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((499*S[2, Infinity]^3)/560 + (3277*S[3, Infinity]^2)/896 + 
     (8*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((11*S[2, Infinity]*S[3, Infinity])/8 + 
       (31*S[5, Infinity])/32 - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((20*S[2, Infinity]^3)/7 + (33*S[3, Infinity]^2)/32 - 
     4*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 2, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^7)/630 - (S[-1, Infinity]^6*S[1, Infinity])/180 - 
   (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/6 - 
   (11299*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((79*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (125*S[2, Infinity]*S[3, Infinity])/32 - (31*S[5, Infinity])/32) - 
   (559*S[2, Infinity]*S[5, Infinity])/28 + (210131*S[7, Infinity])/3584 + 
   (81*S[-5, 1, 1, Infinity])/14 + (95*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/2 + (7*S[1, Infinity]*S[3, Infinity])/
      12 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-661*S[2, Infinity]^3)/560 + 
     (91*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (405*S[3, Infinity]^2)/56 + (81*S[-5, -1, Infinity])/14 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((109*S[2, Infinity]^3)/56 + (513*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity] + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -2, 2, 1, -1, Infinity] -> (11*S[-1, Infinity]^7)/210 - 
   (13*S[-1, Infinity]^6*S[1, Infinity])/180 - 
   (S[-1, Infinity]^5*S[2, Infinity])/4 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/16 - (31*S[3, Infinity])/192) - 
   (537*S[2, Infinity]^2*S[3, Infinity])/140 + (11321*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-85*S[2, Infinity]^3)/56 + 
     (41*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (515*S[3, Infinity]^2)/112 + (103*S[-5, -1, Infinity])/28) + 
   (103*S[-5, 1, 1, Infinity])/28 + (10*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/3 + (7*S[1, Infinity]*S[3, Infinity])/
      12 - 2*S[-1, 1, 1, 1, Infinity]) - 
   (53*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-653*S[5, Infinity])/224 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/8 + (217*S[5, Infinity])/64 + 
     S[1, Infinity]*((23*S[2, Infinity]^2)/20 + 2*S[-1, 1, 1, 1, Infinity]) + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((51*S[2, Infinity]^3)/80 + (83*S[3, Infinity]^2)/128 + 
     (5*S[-5, -1, Infinity])/4 + (13*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/21 - (S[-1, Infinity]^6*S[1, Infinity])/18 - 
   (S[-1, Infinity]^5*S[2, Infinity])/3 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/3 - (29*S[3, Infinity])/48) + 
   (5657*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (37007*S[7, Infinity])/7168 - (25*S[-5, 1, 1, Infinity])/28 - 
   (53*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((2*S[2, Infinity]^2)/3 + (7*S[1, Infinity]*S[3, Infinity])/12 - 
     2*S[-1, 1, 1, 1, Infinity]) + 4*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((3925*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((11*S[2, Infinity]*S[3, Infinity])/4 + S[1, Infinity]*
      (-S[2, Infinity]^2/2 + 2*S[-1, 1, 1, 1, Infinity]) + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((53*S[2, Infinity]^3)/160 + (2659*S[3, Infinity]^2)/896 - 
     (53*S[-5, -1, Infinity])/28 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/4 + (279*S[5, Infinity])/64 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((411*S[2, Infinity]^3)/560 - (7*S[3, Infinity]^2)/4 + 
     (9*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/45 - (S[-1, Infinity]^6*S[1, Infinity])/90 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/4 + (5*S[3, Infinity])/8) - 
   (1171*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (1559*S[2, Infinity]*S[5, Infinity])/896 - (33611*S[7, Infinity])/1792 + 
   (151*S[-5, 1, 1, Infinity])/28 + (9*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/2 - (7*S[1, Infinity]*S[3, Infinity])/
      12 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-53*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (19*S[2, Infinity]*S[3, Infinity])/8 + (93*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (-S[2, Infinity]^3/14 - (69*S[3, Infinity]^2)/32 + 
     8*S[-5, -1, Infinity] + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-185*S[2, Infinity]^3)/56 - (17*S[3, Infinity]^2)/7 - 
     (6*S[-5, -1, Infinity])/7 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((25*S[2, Infinity]*S[3, Infinity])/8 + 
       (403*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -2, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/630 + (S[-1, Infinity]^6*S[1, Infinity])/180 + 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/12 + (7*S[3, Infinity])/48) + 
   (487*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[-1, Infinity]^2*((-113*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     2*S[2, Infinity]*S[3, Infinity] - (279*S[5, Infinity])/128) + 
   (743*S[2, Infinity]*S[5, Infinity])/128 - (13965*S[7, Infinity])/512 - 
   (17*S[-5, 1, 1, Infinity])/4 - 2*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/2 - (7*S[1, Infinity]*S[3, Infinity])/
      12 + (2*S[-1, 1, 1, 1, Infinity])/3) + 7*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((85*S[2, Infinity]^3)/112 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (85*S[3, Infinity]^2)/16 - (17*S[-5, -1, Infinity])/4 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((101*S[2, Infinity]^3)/280 - (99*S[3, Infinity]^2)/32 + 
     (7*S[-5, -1, Infinity])/4 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -2, 1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/210 + (13*S[-1, Infinity]^6*S[1, Infinity])/180 + 
   (S[-1, Infinity]^5*S[2, Infinity])/4 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/4 + (13*S[3, Infinity])/48) + 
   (5657*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (37007*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((499*S[2, Infinity]^3)/224 + (13*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (125*S[3, Infinity]^2)/112 - 
     (25*S[-5, -1, Infinity])/28) - (25*S[-5, 1, 1, Infinity])/28 - 
   (53*S[5, -1, -1, Infinity])/28 + 4*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^3*(-S[2, Infinity]^2/3 - 
     (7*S[1, Infinity]*S[3, Infinity])/12 + 2*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3925*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/4 - (31*S[5, Infinity])/128 + 
     S[1, Infinity]*((73*S[2, Infinity]^2)/80 - 2*S[-1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((67*S[2, Infinity]^3)/70 + (7*S[3, Infinity]^2)/128 - 
     (5*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/21 + (S[-1, Infinity]^6*S[1, Infinity])/18 + 
   (S[-1, Infinity]^5*S[2, Infinity])/3 + S[-1, Infinity]^4*
    ((-19*S[1, Infinity]*S[2, Infinity])/48 + (41*S[3, Infinity])/64) - 
   (1297*S[2, Infinity]^2*S[3, Infinity])/448 + (11321*S[7, Infinity])/1792 + 
   (103*S[-5, 1, 1, Infinity])/28 + (10*S[5, -1, -1, Infinity])/7 - 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((-2*S[2, Infinity]^2)/3 - 
     (7*S[1, Infinity]*S[3, Infinity])/12 + 2*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-95*S[2, Infinity]*S[3, Infinity])/32 + 
     S[1, Infinity]*((7*S[2, Infinity]^2)/8 - 2*S[-1, 1, 1, 1, Infinity]) - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-653*S[5, Infinity])/224 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-69*S[2, Infinity]^3)/560 + (137*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity] + (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    (-S[2, Infinity]^3/4 - (1731*S[3, Infinity]^2)/448 + 
     (10*S[-5, -1, Infinity])/7 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((49*S[2, Infinity]*S[3, Infinity])/16 + 
       (31*S[5, Infinity])/16 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 2, -1, -1, Infinity] -> 
  (-8*S[-1, Infinity]^7)/315 + (S[-1, Infinity]^6*S[1, Infinity])/15 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/6 - (7*S[3, Infinity])/48) + 
   (611*S[2, Infinity]^2*S[3, Infinity])/224 - (4533*S[7, Infinity])/1792 - 
   (6*S[-5, 1, 1, Infinity])/7 - (33*S[5, -1, -1, Infinity])/14 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/6 + (4*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]*((1009*S[2, Infinity]^3)/280 + 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (15*S[3, Infinity]^2)/14 - (6*S[-5, -1, Infinity])/7 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1821*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((31*S[2, Infinity]*S[3, Infinity])/8 - (93*S[5, Infinity])/64 + 
     S[1, Infinity]*((93*S[2, Infinity]^2)/40 - 2*S[-1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((661*S[2, Infinity]^3)/560 + (119*S[3, Infinity]^2)/64 - 
     (19*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 2, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^7)/630 + (S[-1, Infinity]^6*S[1, Infinity])/20 + 
   (S[-1, Infinity]^5*S[2, Infinity])/10 - (S[-1, Infinity]^4*S[3, Infinity])/
    8 + (1907*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (272365*S[7, Infinity])/7168 - (34*S[-5, 1, 1, Infinity])/7 - 
   (171*S[5, -1, -1, Infinity])/28 + 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^3*(-S[2, Infinity]^2/6 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[1, Infinity]*
    ((-1453*S[2, Infinity]^3)/560 + (5*S[3, Infinity]^2)/4 - 
     4*S[-5, -1, Infinity] - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/4 - 
     (155*S[5, Infinity])/128 + S[1, Infinity]*((33*S[2, Infinity]^2)/80 - 
       2*S[-1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((18713*S[5, Infinity])/896 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((2647*S[2, Infinity]^3)/1120 + (641*S[3, Infinity]^2)/448 - 
     (157*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-63*S[2, Infinity]*S[3, Infinity])/16 - (31*S[5, Infinity])/32 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/210 - (S[-1, Infinity]^6*S[1, Infinity])/60 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    ((13*S[1, Infinity]*S[2, Infinity])/48 - (7*S[3, Infinity])/64) + 
   (639*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (7635*S[2, Infinity]*S[5, Infinity])/448 - (205665*S[7, Infinity])/3584 - 
   (30*S[-5, 1, 1, Infinity])/7 - (81*S[5, -1, -1, Infinity])/14 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-203*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (27*S[2, Infinity]*S[3, Infinity])/32 + (465*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-149*S[2, Infinity]^3)/35 - (41*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/4 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-207*S[2, Infinity]^3)/80 + (1007*S[3, Infinity]^2)/
      448 - (141*S[-5, -1, Infinity])/28 + S[1, Infinity]*
      ((-69*S[2, Infinity]*S[3, Infinity])/16 - (279*S[5, Infinity])/64 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   24*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 2, 1, 1, Infinity] -> 
  (24*S[2, Infinity]^2*S[3, Infinity])/5 + 
   S[1, Infinity]*((8*S[2, Infinity]^3)/7 - 2*S[3, Infinity]^2) - 
   18*S[7, Infinity], S[1, -2, -1, -2, -1, Infinity] -> 
  (-16*S[-1, Infinity]^7)/315 + (2*S[-1, Infinity]^6*S[1, Infinity])/15 + 
   (53*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((-7*S[1, Infinity]*S[2, Infinity])/12 - 
     (13*S[3, Infinity])/192) - (63*S[2, Infinity]^2*S[3, Infinity])/64 + 
   (31133*S[7, Infinity])/512 - (17*S[-5, 1, 1, Infinity])/4 + 
   5*S[5, -1, -1, Infinity] + (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/24 + 
     (8*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]*
    ((29*S[2, Infinity]^3)/35 + (15*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (85*S[3, Infinity]^2)/16 - 
     (17*S[-5, -1, Infinity])/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-1687*S[5, Infinity])/64 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((13*S[2, Infinity]*S[3, Infinity])/32 - (651*S[5, Infinity])/32 + 
     S[1, Infinity]*((171*S[2, Infinity]^2)/40 - 
       4*S[-1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((239*S[2, Infinity]^3)/70 + (649*S[3, Infinity]^2)/128 - 
     13*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, -2, 1, Infinity] -> 
  (-2*S[-1, Infinity]^7)/63 + (S[-1, Infinity]^6*S[1, Infinity])/15 + 
   (S[-1, Infinity]^5*S[2, Infinity])/6 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/3 + (23*S[3, Infinity])/192) + 
   (7079*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (125611*S[7, Infinity])/896 + (185*S[-5, 1, 1, Infinity])/14 - 
   (107*S[5, -1, -1, Infinity])/7 - 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/3 + (8*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 + 
     (155*S[5, Infinity])/32 + S[1, Infinity]*(S[2, Infinity]^2 - 
       4*S[-1, 1, 1, 1, Infinity]) - 16*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((51229*S[5, Infinity])/896 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-46*S[2, Infinity]^3)/35 - (599*S[3, Infinity]^2)/128 + 
     13*S[-5, -1, Infinity] + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((311*S[2, Infinity]^3)/560 - (379*S[3, Infinity]^2)/56 - 
     (179*S[-5, -1, Infinity])/14 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((15*S[2, Infinity]*S[3, Infinity])/16 + (1457*S[5, Infinity])/64 + 
       16*S[-1, 1, 1, 1, 1, Infinity]) + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 2, -1, Infinity] -> 
  (2*S[-1, Infinity]^7)/105 - (S[-1, Infinity]^6*S[1, Infinity])/15 - 
   (61*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/3 - 
     S[3, Infinity]/32) + (1623*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (62621*S[2, Infinity]*S[5, Infinity])/896 - (1452345*S[7, Infinity])/
    7168 + (293*S[-5, 1, 1, Infinity])/14 - (653*S[5, -1, -1, Infinity])/28 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-151*S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (3*S[2, Infinity]*S[3, Infinity])/16 + (527*S[5, Infinity])/16 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-162*S[2, Infinity]^3)/35 - 11*S[3, Infinity]^2 + 
     30*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-871*S[2, Infinity]^3)/1120 - (5903*S[3, Infinity]^2)/
      448 - (53*S[-5, -1, Infinity])/7 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((57*S[2, Infinity]*S[3, Infinity])/16 + 
       (1271*S[5, Infinity])/64 + 16*S[-1, 1, 1, 1, 1, Infinity]) + 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 2, 1, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (55*S[3, Infinity])/192) + (17*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (55*S[2, Infinity]*S[3, Infinity])/32) + 
   (2679*S[2, Infinity]*S[5, Infinity])/448 - (6765*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((2019*S[2, Infinity]^3)/1120 - 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (285*S[3, Infinity]^2)/112 - (57*S[-5, -1, Infinity])/28) - 
   (57*S[-5, 1, 1, Infinity])/28 - (57*S[5, -1, -1, Infinity])/28 + 
   (55*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-117*S[2, Infinity]^3)/112 + (127*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2), S[1, -2, 1, -2, -1, Infinity] -> 
  (-171*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (25*S[1, Infinity]*S[3, Infinity]^2)/128 - 
   (93*S[-1, Infinity]^2*S[5, Infinity])/64 - 
   (1149*S[2, Infinity]*S[5, Infinity])/896 + (1737*S[7, Infinity])/896 + 
   S[-1, Infinity]*((-81*S[2, Infinity]^3)/560 + (45*S[3, Infinity]^2)/112 + 
     (93*S[1, Infinity]*S[5, Infinity])/64 - (9*S[-5, -1, Infinity])/28) - 
   (9*S[-5, 1, 1, Infinity])/28 + (3*S[5, -1, -1, Infinity])/7, 
 S[1, -2, 1, -2, 1, Infinity] -> (3*S[2, Infinity]^2*S[3, Infinity])/64 + 
   S[1, Infinity]*((9*S[2, Infinity]^3)/80 + (25*S[3, Infinity]^2)/128) + 
   (3*S[7, Infinity])/128, S[1, -2, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^4*((3*S[1, Infinity]*S[2, Infinity])/16 - 
     (7*S[3, Infinity])/64) + (975*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (1437*S[2, Infinity]*S[5, Infinity])/224 + 
   S[-1, Infinity]^2*((-9*S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (21*S[2, Infinity]*S[3, Infinity])/32 + (93*S[5, Infinity])/64) - 
   (52287*S[7, Infinity])/3584 + S[-1, Infinity]*((57*S[2, Infinity]^3)/140 - 
     (63*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (165*S[3, Infinity]^2)/112 - (33*S[-5, -1, Infinity])/28) - 
   (33*S[-5, 1, 1, Infinity])/28 - (27*S[5, -1, -1, Infinity])/14 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-771*S[2, Infinity]^3)/560 - (151*S[3, Infinity]^2)/128 + 
     (3*S[-5, -1, Infinity])/4 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2), S[1, -2, 1, 2, 1, Infinity] -> 
  (-2139*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (7545*S[2, Infinity]*S[5, Infinity])/896 + (49269*S[7, Infinity])/3584 + 
   S[1, Infinity]*((-75*S[2, Infinity]^3)/112 + (65*S[3, Infinity]^2)/128 - 
     (15*S[-5, -1, Infinity])/4) + S[-1, Infinity]*
    ((-9*S[2, Infinity]^3)/20 + (81*S[3, Infinity]^2)/112 - 
     (465*S[1, Infinity]*S[5, Infinity])/64 + (18*S[-5, -1, Infinity])/7) - 
   (27*S[-5, 1, 1, Infinity])/14 + (18*S[5, -1, -1, Infinity])/7, 
 S[1, 2, -1, -2, -1, Infinity] -> (-2*S[-1, Infinity]^7)/105 + 
   (S[-1, Infinity]^6*S[1, Infinity])/15 + 
   (31*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 - 
     (13*S[3, Infinity])/96) - (2369*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (50453*S[2, Infinity]*S[5, Infinity])/896 + (625515*S[7, Infinity])/3584 - 
   (673*S[-5, 1, 1, Infinity])/28 + (131*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((91*S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (55*S[2, Infinity]*S[3, Infinity])/16 - (961*S[5, Infinity])/32 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1301*S[2, Infinity]^3)/560 + (7153*S[3, Infinity]^2)/448 + 
     (125*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-39*S[2, Infinity]*S[3, Infinity])/8 - 
       (1457*S[5, Infinity])/64 - 16*S[-1, 1, 1, 1, 1, Infinity]) - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((177*S[2, Infinity]^3)/70 + (347*S[3, Infinity]^2)/32 - 
     30*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, -2, 1, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 + 
   (4871*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (1927*S[2, Infinity]*S[5, Infinity])/448 - (192819*S[7, Infinity])/7168 + 
   S[1, Infinity]*((303*S[2, Infinity]^3)/280 - (137*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/2) + S[-1, Infinity]*
    ((-1333*S[2, Infinity]^3)/1120 - (15*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (165*S[3, Infinity]^2)/224 - 
     (41*S[-5, -1, Infinity])/28) - (41*S[-5, 1, 1, Infinity])/28 - 
   (41*S[5, -1, -1, Infinity])/28 - 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity], S[1, 2, -1, 2, -1, Infinity] -> 
  (16*S[-1, Infinity]^7)/315 - (2*S[-1, Infinity]^6*S[1, Infinity])/15 - 
   (23*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/3 + 
     (17*S[3, Infinity])/64) - (151*S[2, Infinity]^2*S[3, Infinity])/56 - 
   (207205*S[7, Infinity])/7168 + (103*S[-5, 1, 1, Infinity])/14 - 
   (11*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (S[2, Infinity]^2/24 - (8*S[-1, 1, 1, 1, Infinity])/3) - 
   (51*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-2659*S[2, Infinity]^3)/1120 + 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (981*S[3, Infinity]^2)/112 + (103*S[-5, -1, Infinity])/14 - 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((2537*S[5, Infinity])/224 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-135*S[2, Infinity]*S[3, Infinity])/32 + (279*S[5, Infinity])/16 + 
     S[1, Infinity]*((-111*S[2, Infinity]^2)/40 + 
       4*S[-1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-47*S[2, Infinity]^3)/28 - (137*S[3, Infinity]^2)/32 + 
     (23*S[-5, -1, Infinity])/2 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, 2, 1, Infinity] -> 
  (2*S[-1, Infinity]^7)/63 - (S[-1, Infinity]^6*S[1, Infinity])/15 - 
   (S[-1, Infinity]^5*S[2, Infinity])/6 + S[-1, Infinity]^4*
    ((13*S[1, Infinity]*S[2, Infinity])/48 - S[3, Infinity]/32) - 
   (5301*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (509995*S[7, Infinity])/3584 - (73*S[-5, 1, 1, Infinity])/7 + 
   (211*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    (S[2, Infinity]^2/3 - (8*S[-1, 1, 1, 1, Infinity])/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-49279*S[5, Infinity])/896 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/16 - (155*S[5, Infinity])/32 + 
     S[1, Infinity]*((-5*S[2, Infinity]^2)/8 + 4*S[-1, 1, 1, 1, Infinity]) + 
     16*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-29*S[2, Infinity]^3)/56 + (543*S[3, Infinity]^2)/112 + 
     (88*S[-5, -1, Infinity])/7 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((3*S[2, Infinity]*S[3, Infinity])/8 - 
       (1271*S[5, Infinity])/64 - 16*S[-1, 1, 1, 1, 1, Infinity]) - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((919*S[2, Infinity]^3)/560 + (139*S[3, Infinity]^2)/32 - 
     (23*S[-5, -1, Infinity])/2 - (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, -2, -1, Infinity] -> 
  (2409*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (465*S[-1, Infinity]^2*S[5, Infinity])/64 + 
   (4171*S[2, Infinity]*S[5, Infinity])/448 - (104865*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((631*S[2, Infinity]^3)/224 + 
     (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (65*S[3, Infinity]^2)/28 + (13*S[-5, -1, Infinity])/7) + 
   S[1, Infinity]*((75*S[2, Infinity]^3)/112 - (225*S[3, Infinity]^2)/128 + 
     (15*S[-5, -1, Infinity])/4) + (13*S[-5, 1, 1, Infinity])/7 - 
   (53*S[5, -1, -1, Infinity])/28, S[1, 2, 1, -2, 1, Infinity] -> 
  (171*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (10149*S[2, Infinity]*S[5, Infinity])/896 + (65271*S[7, Infinity])/3584 + 
   S[1, Infinity]*((-15*S[2, Infinity]^3)/28 - (9*S[3, Infinity]^2)/128 - 
     (3*S[-5, -1, Infinity])/4) + S[-1, Infinity]*((-9*S[2, Infinity]^3)/20 + 
     (81*S[3, Infinity]^2)/112 - (93*S[1, Infinity]*S[5, Infinity])/64 + 
     (18*S[-5, -1, Infinity])/7) - (27*S[-5, 1, 1, Infinity])/14 + 
   (18*S[5, -1, -1, Infinity])/7, S[1, 2, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^4*((-3*S[1, Infinity]*S[2, Infinity])/16 + 
     (7*S[3, Infinity])/64) - (1353*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((9*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (21*S[2, Infinity]*S[3, Infinity])/32 - (465*S[5, Infinity])/64) - 
   (11667*S[2, Infinity]*S[5, Infinity])/896 + (167991*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((-729*S[2, Infinity]^3)/224 + (163*S[3, Infinity]^2)/
      224 + S[1, Infinity]*((21*S[2, Infinity]*S[3, Infinity])/8 + 
       (465*S[5, Infinity])/64) + (9*S[-5, -1, Infinity])/14) + 
   (9*S[-5, 1, 1, Infinity])/14 + (123*S[5, -1, -1, Infinity])/28 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((9*S[2, Infinity]^3)/5 + (15*S[3, Infinity]^2)/32 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[1, 2, 1, 2, 1, Infinity] -> (-12*S[2, Infinity]^2*S[3, Infinity])/5 + 
   2*S[1, Infinity]*S[3, Infinity]^2 + 3*S[7, Infinity], 
 S[1, -2, -1, -1, -2, Infinity] -> (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (701*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (55*S[2, Infinity]*S[3, Infinity])/32 - (217*S[5, Infinity])/32) + 
   (25765*S[7, Infinity])/512 + S[1, Infinity]*((7*S[2, Infinity]^3)/24 + 
     (73*S[3, Infinity]^2)/128 + 5*S[-5, -1, Infinity]) + 
   7*S[5, -1, -1, Infinity] - (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[-1, Infinity]*((13*S[2, Infinity]^3)/20 + 
     (33*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1229*S[5, Infinity])/64 + 
     5*S[-1, 1, 1, 1, 1, Infinity]), S[1, -2, -1, -1, 2, Infinity] -> 
  (-2*S[-1, Infinity]^7)/105 + (S[-1, Infinity]^6*S[1, Infinity])/15 + 
   (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/3 - S[3, Infinity]/24) - 
   (2753*S[2, Infinity]^2*S[3, Infinity])/320 + (61855*S[7, Infinity])/256 - 
   21*S[-5, 1, 1, Infinity] + (63*S[5, -1, -1, Infinity])/2 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-12155*S[5, Infinity])/128 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((17*S[1, Infinity]*S[2, Infinity]^2)/5 + 
     (29*S[2, Infinity]*S[3, Infinity])/32 - (3007*S[5, Infinity])/64 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-177*S[2, Infinity]^3)/112 + (2553*S[3, Infinity]^2)/128 + 
     5*S[-5, -1, Infinity] + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((3*S[2, Infinity]*S[3, Infinity])/16 - 
       (31*S[5, Infinity])/4 - 16*S[-1, 1, 1, 1, 1, Infinity]) - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((5687*S[2, Infinity]^3)/840 + (55*S[3, Infinity]^2)/8 - 
     21*S[-5, -1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^7/105 + (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/8 + S[-1, Infinity]^4*
    ((-11*S[1, Infinity]*S[2, Infinity])/48 - S[3, Infinity]/64) - 
   (2481*S[2, Infinity]^2*S[3, Infinity])/448 + (30243*S[7, Infinity])/224 - 
   (104*S[-5, 1, 1, Infinity])/7 + (275*S[5, -1, -1, Infinity])/14 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-52505*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((83*S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (3*S[2, Infinity]*S[3, Infinity])/32 - (4123*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-43*S[2, Infinity]^3)/14 + (2753*S[3, Infinity]^2)/224 + 
     (53*S[-5, -1, Infinity])/28 + S[1, Infinity]*
      ((3*S[2, Infinity]*S[3, Infinity])/16 - (155*S[5, Infinity])/64 - 
       8*S[-1, 1, 1, 1, 1, Infinity]) - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((761*S[2, Infinity]^3)/210 + (557*S[3, Infinity]^2)/128 - 
     (23*S[-5, -1, Infinity])/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + S[-1, Infinity]^4*
    ((3*S[1, Infinity]*S[2, Infinity])/16 - (31*S[3, Infinity])/192) + 
   (2587*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-21*S[1, Infinity]*S[2, Infinity]^2)/16 + 
     (31*S[2, Infinity]*S[3, Infinity])/32 - (217*S[5, Infinity])/64) + 
   (20911*S[7, Infinity])/1792 + S[-1, Infinity]*
    ((1137*S[2, Infinity]^3)/560 + (3*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (45*S[3, Infinity]^2)/14 - 
     (18*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 + 
   (13*S[5, -1, -1, Infinity])/14 + 
   (31*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-613*S[2, Infinity]^3)/840 - (247*S[3, Infinity]^2)/128 + 
     (21*S[-5, -1, Infinity])/4 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-179*S[5, Infinity])/56 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[1, -2, 1, -1, -2, Infinity] -> 
  S[-1, Infinity]^7/105 - (S[-1, Infinity]^6*S[1, Infinity])/30 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/8 + S[-1, Infinity]^4*
    ((5*S[1, Infinity]*S[2, Infinity])/24 + S[3, Infinity]/96) + 
   (9959*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (219437*S[7, Infinity])/1792 + (86*S[-5, 1, 1, Infinity])/7 - 
   (227*S[5, -1, -1, Infinity])/14 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-39*S[1, Infinity]*S[2, Infinity]^2)/20 - 
     (S[2, Infinity]*S[3, Infinity])/16 + (3379*S[5, Infinity])/128 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((22143*S[5, Infinity])/448 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-769*S[2, Infinity]^3)/210 - (569*S[3, Infinity]^2)/128 + 
     (21*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((661*S[2, Infinity]^3)/560 - (2285*S[3, Infinity]^2)/224 - 
     (41*S[-5, -1, Infinity])/28 + S[1, Infinity]*((155*S[5, Infinity])/64 + 
       8*S[-1, 1, 1, 1, 1, Infinity]) + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 1, -1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/24 + S[3, Infinity]/96) + 
   (3153*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/16 - 
     (S[2, Infinity]*S[3, Infinity])/16 + (217*S[5, Infinity])/64) - 
   (129613*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((-671*S[2, Infinity]^3)/1120 - (63*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (115*S[3, Infinity]^2)/112 + 
     (23*S[-5, -1, Infinity])/28) + (23*S[-5, 1, 1, Infinity])/28 - 
   (75*S[5, -1, -1, Infinity])/28 - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[1, Infinity]*((-241*S[2, Infinity]^3)/336 + 
     (91*S[3, Infinity]^2)/128 - (13*S[-5, -1, Infinity])/4 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1381*S[5, Infinity])/224 - 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[1, -2, 1, 1, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + S[-1, Infinity]^4*
    ((-5*S[1, Infinity]*S[2, Infinity])/48 + (7*S[3, Infinity])/48) - 
   (13*S[2, Infinity]^2*S[3, Infinity])/5 + S[-1, Infinity]^2*
    ((5*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (21*S[2, Infinity]*S[3, Infinity])/16) + (4171*S[7, Infinity])/256 + 
   2*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/20 + 
     (35*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (5*S[3, Infinity]^2)/2 + 2*S[-5, -1, Infinity] - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((17*S[2, Infinity]^3)/21 + (131*S[3, Infinity]^2)/128 + 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-23*S[5, Infinity])/4 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -2, 1, 1, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/48 - (7*S[3, Infinity])/192) + 
   (1907*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (7*S[2, Infinity]*S[3, Infinity])/16) - (47601*S[7, Infinity])/7168 + 
   (37*S[-5, 1, 1, Infinity])/28 - (33*S[5, -1, -1, Infinity])/28 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((13*S[2, Infinity]^3)/60 - (17*S[3, Infinity]^2)/16 + 
     (5*S[-5, -1, Infinity])/2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((33*S[2, Infinity]^3)/160 + 
     (389*S[3, Infinity]^2)/896 + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/16 + (155*S[5, Infinity])/32) - 
     (33*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((779*S[5, Infinity])/224 - 
     S[-1, 1, 1, 1, 1, Infinity]/2), S[1, 2, -1, -1, -2, Infinity] -> 
  (2*S[-1, Infinity]^7)/105 - (S[-1, Infinity]^6*S[1, Infinity])/15 - 
   (S[-1, Infinity]^5*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + S[-1, Infinity]^4*
    ((19*S[1, Infinity]*S[2, Infinity])/48 + S[3, Infinity]/64) + 
   (303*S[2, Infinity]^2*S[3, Infinity])/40 - (239175*S[7, Infinity])/1024 + 
   (87*S[-5, 1, 1, Infinity])/4 - (123*S[5, -1, -1, Infinity])/4 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-151*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (17*S[2, Infinity]*S[3, Infinity])/32 + (3007*S[5, Infinity])/64 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((743*S[5, Infinity])/8 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-2533*S[2, Infinity]^3)/336 - 8*S[3, Infinity]^2 + 
     21*S[-5, -1, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1623*S[2, Infinity]^3)/1120 - (307*S[3, Infinity]^2)/16 - 
     (17*S[-5, -1, Infinity])/4 + S[1, Infinity]*
      ((-3*S[2, Infinity]*S[3, Infinity])/2 + (31*S[5, Infinity])/4 + 
       16*S[-1, 1, 1, 1, 1, Infinity]) + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, -1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/8 + S[3, Infinity]/8) + 
   (271*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((9*S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (S[2, Infinity]*S[3, Infinity])/8 + (217*S[5, Infinity])/32) - 
   (19789*S[7, Infinity])/512 + S[-1, Infinity]*((-73*S[2, Infinity]^3)/80 - 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
     (29*S[3, Infinity]^2)/8 + (3*S[-5, -1, Infinity])/2) + 
   (3*S[-5, 1, 1, Infinity])/2 - (11*S[5, -1, -1, Infinity])/2 - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((59*S[2, Infinity]^3)/84 + (7*S[3, Infinity]^2)/4 - 
     5*S[-5, -1, Infinity] + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((233*S[5, Infinity])/16 - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 2, -1, 1, -2, Infinity] -> (-11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (55*S[3, Infinity])/192) + (8003*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-5*S[1, Infinity]*S[2, Infinity]^2)/16 + 
     (125*S[2, Infinity]*S[3, Infinity])/32 + (217*S[5, Infinity])/64) - 
   (405481*S[7, Infinity])/7168 - (107*S[-5, 1, 1, Infinity])/28 - 
   (205*S[5, -1, -1, Infinity])/28 + 
   (55*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*(S[2, Infinity]^3/105 - (191*S[3, Infinity]^2)/128 - 
     (7*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((531*S[2, Infinity]^3)/1120 - 
     (45*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (1021*S[3, Infinity]^2)/224 - (107*S[-5, -1, Infinity])/28 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((9089*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, -1, 1, 2, Infinity] -> 
  S[-1, Infinity]^7/105 - (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 + 
     (29*S[3, Infinity])/192) + (2859*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (364039*S[7, Infinity])/3584 + (67*S[-5, 1, 1, Infinity])/7 - 
   (181*S[5, -1, -1, Infinity])/14 - 
   (29*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-43*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     2*S[2, Infinity]*S[3, Infinity] + (2635*S[5, Infinity])/128 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((35253*S[5, Infinity])/896 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-5777*S[2, Infinity]^3)/1680 - (133*S[3, Infinity]^2)/
      64 + 9*S[-5, -1, Infinity] + 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    (-S[2, Infinity]^3/80 - (10391*S[3, Infinity]^2)/896 - 
     (33*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((9*S[2, Infinity]*S[3, Infinity])/8 + 
       (155*S[5, Infinity])/64 + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, -1, -2, Infinity] -> 
  (-13*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 - 
     (47*S[3, Infinity])/192) + (197*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]*S[2, Infinity]^2)/16 + 
     (61*S[2, Infinity]*S[3, Infinity])/32 - (217*S[5, Infinity])/64) - 
   (14471*S[7, Infinity])/1792 - (55*S[-5, 1, 1, Infinity])/14 - 
   (3*S[5, -1, -1, Infinity])/7 + 
   (47*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-47*S[2, Infinity]^3)/420 + (129*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity]/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-17*S[2, Infinity]^3)/70 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (275*S[3, Infinity]^2)/56 - (55*S[-5, -1, Infinity])/14 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((177*S[5, Infinity])/224 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 2, 1, -1, 2, Infinity] -> -S[-1, Infinity]^7/105 + 
   (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/16 + 
     (37*S[3, Infinity])/192) - (1293*S[2, Infinity]^2*S[3, Infinity])/320 + 
   (57273*S[7, Infinity])/512 - 4*S[-5, 1, 1, Infinity] + 
   (25*S[5, -1, -1, Infinity])/2 - 
   (37*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-4743*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((103*S[1, Infinity]*S[2, Infinity]^2)/
      40 - (11*S[2, Infinity]*S[3, Infinity])/8 - (1891*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((193*S[2, Infinity]^3)/140 + (415*S[3, Infinity]^2)/128 + 
     (15*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((35*S[2, Infinity]*S[3, Infinity])/8 - 
       (155*S[5, Infinity])/64 - 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((7837*S[2, Infinity]^3)/1680 + (177*S[3, Infinity]^2)/64 - 
     8*S[-5, -1, Infinity] + (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (7*S[3, Infinity])/192) + (81*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (7*S[2, Infinity]*S[3, Infinity])/32) - 
   (1495*S[2, Infinity]*S[5, Infinity])/448 + (8233*S[7, Infinity])/896 + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/40 + (397*S[3, Infinity]^2)/448 + 
     S[1, Infinity]*((-21*S[2, Infinity]*S[3, Infinity])/16 - 
       (155*S[5, Infinity])/32) + (3*S[-5, -1, Infinity])/7) - 
   (29*S[-5, 1, 1, Infinity])/14 + (3*S[5, -1, -1, Infinity])/7 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-26*S[2, Infinity]^3)/15 + (45*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2), S[1, 2, 1, 1, 2, Infinity] -> 
  (6*S[2, Infinity]^2*S[3, Infinity])/5 + S[1, Infinity]*
    ((118*S[2, Infinity]^3)/105 - S[3, Infinity]^2) + 
   4*S[2, Infinity]*S[5, Infinity] - 18*S[7, Infinity], 
 S[1, -1, -3, -1, -1, Infinity] -> (-89*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^6*S[1, Infinity])/20 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/3 - 
     (7*S[3, Infinity])/96) + (125*S[2, Infinity]^2*S[3, Infinity])/64 - 
   (27809*S[7, Infinity])/1024 + 3*S[-5, 1, 1, Infinity] - 
   (17*S[5, -1, -1, Infinity])/4 + S[-1, Infinity]^3*
    ((-133*S[2, Infinity]^2)/240 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((499*S[2, Infinity]^3)/224 - (15*S[3, Infinity]^2)/4 + 
     S[1, Infinity]*(S[2, Infinity]*S[3, Infinity] + (15*S[5, Infinity])/
        32) + 3*S[-5, -1, Infinity] + S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((1937*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((19*S[2, Infinity]*S[3, Infinity])/8 + (1179*S[5, Infinity])/128 + 
     S[1, Infinity]*((-9*S[2, Infinity]^2)/20 - S[-1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-509*S[2, Infinity]^3)/560 - (25*S[3, Infinity]^2)/32 + 
     (17*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -3, -1, 1, Infinity] -> (-127*S[-1, Infinity]^7)/2520 + 
   (3*S[-1, Infinity]^6*S[1, Infinity])/40 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   S[-1, Infinity]^4*((-11*S[1, Infinity]*S[2, Infinity])/24 + 
     S[3, Infinity]/48) - (493*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (29501*S[7, Infinity])/1792 - (61*S[-5, 1, 1, Infinity])/14 - 
   (5*S[5, -1, -1, Infinity])/14 - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]^3*((-211*S[2, Infinity]^2)/120 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[2, Infinity]*
    ((-671*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/16 - 
     (27*S[5, Infinity])/16 + S[1, Infinity]*((149*S[2, Infinity]^2)/80 - 
       2*S[-1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((489*S[2, Infinity]^3)/560 - (899*S[3, Infinity]^2)/448 + 
     S[1, Infinity]*((13*S[2, Infinity]*S[3, Infinity])/16 + 
       (15*S[5, Infinity])/32) + (29*S[-5, -1, Infinity])/7 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((27*S[2, Infinity]^3)/35 + (77*S[3, Infinity]^2)/32 - 
     (17*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -3, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/140 - (S[-1, Infinity]^6*S[1, Infinity])/72 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/8 + 
     (7*S[3, Infinity])/32) - (647*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/8 - 
     (7*S[1, Infinity]*S[3, Infinity])/24) - 
   (617*S[2, Infinity]*S[5, Infinity])/896 + (23115*S[7, Infinity])/7168 - 
   (71*S[-5, 1, 1, Infinity])/14 + (5*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((19*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (5*S[2, Infinity]*S[3, Infinity])/16 - (681*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-279*S[2, Infinity]^3)/1120 + (1517*S[3, Infinity]^2)/448 - 
     (93*S[-5, -1, Infinity])/28 + S[1, Infinity]*
      ((-15*S[2, Infinity]*S[3, Infinity])/16 + (15*S[5, Infinity])/32 + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-4*S[2, Infinity]^3)/5 + (5*S[3, Infinity]^2)/8 - 
     (5*S[-5, -1, Infinity])/4 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -3, 1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^7)/252 + (S[-1, Infinity]^6*S[1, Infinity])/36 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/12 + (7*S[3, Infinity])/48) + 
   (1189*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (1121*S[2, Infinity]*S[5, Infinity])/448 - (14107*S[7, Infinity])/896 - 
   (19*S[-5, 1, 1, Infinity])/14 - (6*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/4 - (7*S[1, Infinity]*S[3, Infinity])/
      24 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 - 
     (23*S[5, Infinity])/32 + S[1, Infinity]*(-S[2, Infinity]^2/4 - 
       S[-1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((71*S[2, Infinity]^3)/280 + (95*S[3, Infinity]^2)/56 - 
     (19*S[-5, -1, Infinity])/14 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/8 + 
       (15*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-29*S[2, Infinity]^3)/280 - (29*S[3, Infinity]^2)/32 + 
     S[-5, -1, Infinity]/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 3, -1, -1, Infinity] -> (73*S[-1, Infinity]^7)/2520 - 
   (S[-1, Infinity]^6*S[1, Infinity])/30 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/3 - S[3, Infinity]/48) - 
   (139*S[2, Infinity]^2*S[3, Infinity])/70 - 
   (S[1, Infinity]*S[3, Infinity]^2)/2 - (4951*S[2, Infinity]*S[5, Infinity])/
    224 + (83645*S[7, Infinity])/1792 - (11*S[-5, 1, 1, Infinity])/7 + 
   (52*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((51*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/5 - 
     (33*S[2, Infinity]*S[3, Infinity])/16 - (333*S[5, Infinity])/32 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-109*S[2, Infinity]^3)/80 + (4847*S[3, Infinity]^2)/896 - 
     (11*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/2 + 
       (27*S[5, Infinity])/8 + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 3, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/504 + (S[-1, Infinity]^6*S[1, Infinity])/120 - 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/8 + (7*S[3, Infinity])/96) - 
   (2453*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (2627*S[2, Infinity]*S[5, Infinity])/224 + (75499*S[7, Infinity])/3584 - 
   (29*S[-5, 1, 1, Infinity])/14 + (55*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((41*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
      3) - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((11*S[2, Infinity]^3)/80 - (169*S[3, Infinity]^2)/128 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-27*S[2, Infinity]*S[3, Infinity])/32 - 
     (15*S[5, Infinity])/2 + S[1, Infinity]*((-23*S[2, Infinity]^2)/80 - 
       S[-1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-111*S[2, Infinity]^3)/112 + (145*S[3, Infinity]^2)/56 - 
     (29*S[-5, -1, Infinity])/14 + S[1, Infinity]*
      ((-13*S[2, Infinity]*S[3, Infinity])/8 + (27*S[5, Infinity])/8 + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 3, 1, -1, Infinity] -> S[-1, Infinity]^7/105 - 
   (S[-1, Infinity]^6*S[1, Infinity])/72 + (S[-1, Infinity]^5*S[2, Infinity])/
    30 + S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/8 + 
     (29*S[3, Infinity])/96) - (127*S[2, Infinity]^2*S[3, Infinity])/320 - 
   (11263*S[7, Infinity])/1024 + (7*S[-5, 1, 1, Infinity])/4 - 
   (3*S[5, -1, -1, Infinity])/4 + S[-1, Infinity]^3*
    ((43*S[2, Infinity]^2)/80 - (7*S[1, Infinity]*S[3, Infinity])/24 - 
     S[-1, 1, 1, 1, Infinity]) - 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((197*S[2, Infinity]^3)/1120 - (35*S[3, Infinity]^2)/16 + 
     (7*S[-5, -1, Infinity])/4 + S[1, Infinity]*
      (S[2, Infinity]*S[3, Infinity] - (125*S[5, Infinity])/64 - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((819*S[5, Infinity])/128 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 + 
     (481*S[5, Infinity])/64 + S[1, Infinity]*((-21*S[2, Infinity]^2)/16 + 
       S[-1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-247*S[2, Infinity]^3)/560 - (217*S[3, Infinity]^2)/128 + 
     (9*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 3, 1, 1, Infinity] -> -S[-1, Infinity]^7/180 + 
   (S[-1, Infinity]^6*S[1, Infinity])/90 + (S[-1, Infinity]^5*S[2, Infinity])/
    24 + S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     (7*S[3, Infinity])/48) - (1909*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (264163*S[7, Infinity])/7168 - (57*S[-5, 1, 1, Infinity])/28 + 
   (111*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-7*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/3) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-14291*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/16 - (23*S[5, Infinity])/32 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-491*S[2, Infinity]^3)/1120 + (1377*S[3, Infinity]^2)/896 + 
     (26*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((3*S[2, Infinity]*S[3, Infinity])/8 - 
       (125*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((23*S[2, Infinity]^3)/80 + (47*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/4 + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -3, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/140 + (S[-1, Infinity]^6*S[1, Infinity])/45 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/24 - (7*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 - 
     (23*S[3, Infinity])/96) + (69*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/4 + 
     (7*S[1, Infinity]*S[3, Infinity])/24) + S[1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/4 + (15*S[5, Infinity])/64) + 
   (1731*S[2, Infinity]*S[5, Infinity])/448 - (1591*S[7, Infinity])/3584 + 
   (11*S[-5, 1, 1, Infinity])/14 - (17*S[5, -1, -1, Infinity])/14 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/64 + S[1, Infinity]*((17*S[2, Infinity]^2)/20 - 
       S[-1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((63*S[2, Infinity]^3)/40 - (73*S[3, Infinity]^2)/224 - 
     (27*S[-5, -1, Infinity])/28 + 
     (S[1, Infinity]^2*((19*S[2, Infinity]^2)/40 + 
        2*S[-1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]*
      ((7*S[2, Infinity]*S[3, Infinity])/8 + (155*S[5, Infinity])/32 + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((4*S[2, Infinity]^3)/5 - (3*S[3, Infinity]^2)/4 + 
     (5*S[-5, -1, Infinity])/4 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -3, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^7)/1260 - (S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/120 - S[2, Infinity]/24) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 - 
     (7*S[3, Infinity])/96) - (2791*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((17*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     S[2, Infinity]*S[3, Infinity] + (31*S[5, Infinity])/64) + 
   (66431*S[7, Infinity])/3584 + (13*S[-5, 1, 1, Infinity])/7 + 
   (19*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/12 - S[2, Infinity]^2/6 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((S[1, Infinity]^2*S[2, Infinity]^2)/20 - 
     (21*S[2, Infinity]^3)/80 + (7*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (65*S[3, Infinity]^2)/28 + 
     (13*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-589*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/16 + 
     ((85*S[5, Infinity])/16 + 2*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-9*S[2, Infinity]^3)/28 + (81*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity]/2 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -3, 1, -1, Infinity] -> 
  (29*S[-1, Infinity]^7)/630 - (3*S[-1, Infinity]^6*S[1, Infinity])/40 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 - S[2, Infinity]/6) + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/24 - 
     (9*S[3, Infinity])/32) - (227*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (517*S[7, Infinity])/128 + 2*S[-5, 1, 1, Infinity] + 
   S[5, -1, -1, Infinity] + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/6 - S[2, Infinity]^2/6 + 
     (7*S[1, Infinity]*S[3, Infinity])/8 - (5*S[-1, 1, 1, 1, Infinity])/3) - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-17*S[1, Infinity]^2*S[2, Infinity]^2)/20 - 
     (597*S[2, Infinity]^3)/280 - (5*S[3, Infinity]^2)/2 + 
     2*S[-5, -1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 + 
     ((-39*S[5, Infinity])/16 - 4*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-171*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (27*S[2, Infinity]*S[3, Infinity])/16 + (155*S[5, Infinity])/64 + 
     S[1, Infinity]*((3*S[2, Infinity]^2)/40 + 2*S[-1, 1, 1, 1, Infinity]) + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-19*S[2, Infinity]^3)/35 + S[3, Infinity]^2/4 + 
     (3*S[-5, -1, Infinity])/2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -3, 1, 1, Infinity] -> S[-1, Infinity]^7/21 - 
   (S[-1, Infinity]^6*S[1, Infinity])/12 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/30 - (4*S[2, Infinity])/15) + 
   S[-1, Infinity]^4*((11*S[1, Infinity]*S[2, Infinity])/24 - 
     (17*S[3, Infinity])/32) + (11*S[2, Infinity]^2*S[3, Infinity])/10 + 
   (1525*S[7, Infinity])/128 - 2*S[-5, 1, 1, Infinity] + 
   S[5, -1, -1, Infinity] + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/6 + S[2, Infinity]^2/3 + 
     (7*S[1, Infinity]*S[3, Infinity])/8 - 2*S[-1, 1, 1, 1, Infinity]) + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-17*S[5, Infinity])/4 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (23*S[2, Infinity]*S[3, Infinity])/16 + S[1, Infinity]*
      (-S[2, Infinity]^2/2 + 3*S[-1, 1, 1, 1, Infinity]) + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/16 + 
     ((15*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/40 + (9*S[3, Infinity]^2)/4 + 
     S[-5, -1, Infinity] - S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/4 - 
       (93*S[5, Infinity])/32 - 6*S[-1, 1, 1, 1, 1, Infinity]) - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((19*S[2, Infinity]^3)/35 - (3*S[3, Infinity]^2)/8 - 
     (3*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 3, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/140 + (S[-1, Infinity]^6*S[1, Infinity])/180 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/120 + (7*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     (7*S[3, Infinity])/32) + (113*S[2, Infinity]^2*S[3, Infinity])/70 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 - 
     (7*S[1, Infinity]*S[3, Infinity])/12) - 
   (1345*S[2, Infinity]*S[5, Infinity])/896 - (29529*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-19*S[1, Infinity]^2*S[2, Infinity]^2)/80 - 
     (27*S[2, Infinity]^3)/20 - (7*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 + (45*S[3, Infinity]^2)/112 - 
     (9*S[-5, -1, Infinity])/28) - (9*S[-5, 1, 1, Infinity])/28 - 
   S[5, -1, -1, Infinity]/14 + S[1, Infinity]^2*
    ((15*S[2, Infinity]*S[3, Infinity])/16 - (311*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-17*S[1, Infinity]*S[2, Infinity]^2)/20 + 
     (7*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (5*S[2, Infinity]*S[3, Infinity])/8 + (31*S[5, Infinity])/64 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-23*S[2, Infinity]^3)/80 - (111*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/4 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 3, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/180 - (S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/40 + (11*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     (7*S[3, Infinity])/32) - (1123*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (268879*S[7, Infinity])/7168 - (53*S[-5, 1, 1, Infinity])/28 + 
   (143*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/12 - S[2, Infinity]^2/6 - 
     (7*S[1, Infinity]*S[3, Infinity])/12 - S[-1, 1, 1, 1, Infinity]/3) + 
   S[2, Infinity]*((-12777*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, 
      Infinity]) + S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 + 
     (27*S[5, Infinity])/16 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((7*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (3*S[2, Infinity]*S[3, Infinity])/4 - (31*S[5, Infinity])/16 + 
     S[1, Infinity]*((-17*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]) + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-67*S[2, Infinity]^3)/224 + (1217*S[3, Infinity]^2)/896 + 
     (27*S[-5, -1, Infinity])/7 + S[1, Infinity]^2*
      ((49*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]) - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((7*S[2, Infinity]*S[3, Infinity])/8 - (527*S[5, Infinity])/64 - 
       6*S[-1, 1, 1, 1, 1, Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((97*S[2, Infinity]^3)/112 + (243*S[3, Infinity]^2)/128 - 
     (9*S[-5, -1, Infinity])/2 + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 3, 1, -1, Infinity] -> 
  (-2*S[-1, Infinity]^7)/315 + (S[-1, Infinity]^6*S[1, Infinity])/40 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/30 - S[2, Infinity]/60) - 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/12 - 
   (53*S[2, Infinity]^2*S[3, Infinity])/224 - 
   (S[1, Infinity]*S[3, Infinity]^2)/128 + (68555*S[7, Infinity])/7168 + 
   (5*S[-5, 1, 1, Infinity])/7 + (27*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/6 + 
     S[2, Infinity]^2/6 + S[-1, 1, 1, 1, Infinity]/3) + 
   S[2, Infinity]*((-855*S[5, Infinity])/224 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 - 
     (125*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/32 + S[1, Infinity]*((17*S[2, Infinity]^2)/40 - 
       S[-1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((39*S[2, Infinity]^3)/32 - (457*S[3, Infinity]^2)/896 + 
     (5*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]^2*((3*S[2, Infinity]^2)/16 + S[-1, 1, 1, 1, Infinity]) + 
     S[1, Infinity]*((93*S[5, Infinity])/64 + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 3, 1, 1, Infinity] -> (-3*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (S[1, Infinity]*S[3, Infinity]^2)/2 + S[1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/2 - S[5, Infinity]/4) - 
   (S[2, Infinity]*S[5, Infinity])/4 + 3*S[7, Infinity], 
 S[1, -1, -2, -2, -1, Infinity] -> (79*S[-1, Infinity]^7)/1260 - 
   (S[-1, Infinity]^6*S[1, Infinity])/10 - 
   (19*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/6 + 
     (41*S[3, Infinity])/192) - (7369*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (48379*S[7, Infinity])/3584 - (2*S[-5, 1, 1, Infinity])/7 + 
   (59*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((409*S[2, Infinity]^2)/240 - (8*S[-1, 1, 1, 1, Infinity])/3) - 
   (41*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((183*S[2, Infinity]^3)/140 + (25*S[3, Infinity]^2)/128 + 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-1119*S[2, Infinity]^3)/560 + (5*S[3, Infinity]^2)/14 - 
     (2*S[-5, -1, Infinity])/7 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((15*S[2, Infinity]*S[3, Infinity])/16 - 
       (123*S[5, Infinity])/16 - 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-8397*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-41*S[2, Infinity]*S[3, Infinity])/32 + (337*S[5, Infinity])/128 + 
     S[1, Infinity]*((-73*S[2, Infinity]^2)/40 + 
       4*S[-1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, -2, 1, Infinity] -> 
  (13*S[-1, Infinity]^7)/630 - (S[-1, Infinity]^6*S[1, Infinity])/30 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/6 - (19*S[3, Infinity])/192) + 
   (793*S[2, Infinity]^2*S[3, Infinity])/560 + (14067*S[7, Infinity])/1792 - 
   (39*S[-5, 1, 1, Infinity])/28 - S[5, -1, -1, Infinity]/7 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/3 - (4*S[-1, 1, 1, 1, Infinity])/3) + 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-155*S[5, Infinity])/56 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((17*S[2, Infinity]*S[3, Infinity])/16 + (185*S[5, Infinity])/32 + 
     S[1, Infinity]*(-S[2, Infinity]^2/2 + 2*S[-1, 1, 1, 1, Infinity]) + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((43*S[2, Infinity]^3)/112 + (783*S[3, Infinity]^2)/896 + 
     (87*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-15*S[2, Infinity]*S[3, Infinity])/16 - (123*S[5, Infinity])/16 - 
       8*S[-1, 1, 1, 1, 1, Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((45*S[2, Infinity]^3)/56 + (17*S[3, Infinity]^2)/16 - 
     (9*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^7/420 + (S[-1, Infinity]^6*S[1, Infinity])/90 + 
   (37*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (557*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^3*((-203*S[2, Infinity]^2)/80 + 
     (7*S[1, Infinity]*S[3, Infinity])/12) - 
   (2259*S[2, Infinity]*S[5, Infinity])/896 + (141713*S[7, Infinity])/7168 + 
   (29*S[-5, 1, 1, Infinity])/7 + (25*S[5, -1, -1, Infinity])/28 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((113*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (17*S[2, Infinity]*S[3, Infinity])/8 + (123*S[5, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-729*S[2, Infinity]^3)/1120 - (1097*S[3, Infinity]^2)/224 + 
     (291*S[-5, -1, Infinity])/28 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((19*S[2, Infinity]*S[3, Infinity])/16 - 
       (89*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((76*S[2, Infinity]^3)/35 + (45*S[3, Infinity]^2)/16 - 
     8*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 2, 1, Infinity] -> 
  (5*S[-1, Infinity]^7)/126 - (S[-1, Infinity]^6*S[1, Infinity])/18 - 
   (S[-1, Infinity]^5*S[2, Infinity])/10 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/6 - S[3, Infinity]/24) - 
   (4539*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (12359*S[2, Infinity]*S[5, Infinity])/896 + (30643*S[7, Infinity])/896 + 
   (181*S[-5, 1, 1, Infinity])/28 + (33*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/2 + (7*S[1, Infinity]*S[3, Infinity])/
      12 - (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1691*S[2, Infinity]^3)/560 - (905*S[3, Infinity]^2)/
      112 + (181*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((7*S[2, Infinity]*S[3, Infinity])/4 - (89*S[5, Infinity])/64 - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((-33*S[2, Infinity]*S[3, Infinity])/8 + (153*S[5, Infinity])/64 + 
     S[1, Infinity]*(S[2, Infinity]^2/2 + 2*S[-1, 1, 1, 1, Infinity]) + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((589*S[2, Infinity]^3)/560 + (99*S[3, Infinity]^2)/32 - 
     (7*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 2, -2, -1, Infinity] -> S[-1, Infinity]^7/420 - 
   (S[-1, Infinity]^6*S[1, Infinity])/90 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (19*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (403*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^3*((79*S[2, Infinity]^2)/40 - 
     (7*S[1, Infinity]*S[3, Infinity])/12) + 
   (11437*S[2, Infinity]*S[5, Infinity])/448 - (222305*S[7, Infinity])/3584 - 
   (29*S[-5, 1, 1, Infinity])/7 - (121*S[5, -1, -1, Infinity])/14 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((-19*S[1, Infinity]*S[2, Infinity]^2)/20 + 
     (95*S[2, Infinity]*S[3, Infinity])/16 + (123*S[5, Infinity])/32 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-20*S[2, Infinity]^3)/7 - (33*S[3, Infinity]^2)/32 + 
     4*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1441*S[2, Infinity]^3)/560 + (1973*S[3, Infinity]^2)/
      896 - (50*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-11*S[2, Infinity]*S[3, Infinity])/8 + (33*S[5, Infinity])/32 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, -2, 1, Infinity] -> 
  (-5*S[-1, Infinity]^7)/126 + (S[-1, Infinity]^6*S[1, Infinity])/18 + 
   (S[-1, Infinity]^5*S[2, Infinity])/10 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/6 - S[3, Infinity]/24) + 
   (13567*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (1279*S[2, Infinity]*S[5, Infinity])/56 - (226581*S[7, Infinity])/3584 - 
   (123*S[-5, 1, 1, Infinity])/14 - (109*S[5, -1, -1, Infinity])/14 + 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/2 - (7*S[1, Infinity]*S[3, Infinity])/
      12 + (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]^2*
    ((133*S[2, Infinity]*S[3, Infinity])/32 - (95*S[5, Infinity])/64 + 
     S[1, Infinity]*(-S[2, Infinity]^2/2 - 2*S[-1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((177*S[2, Infinity]^3)/80 + (4185*S[3, Infinity]^2)/448 - 
     (123*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-13*S[2, Infinity]*S[3, Infinity])/16 + (33*S[5, Infinity])/32 + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-153*S[2, Infinity]^3)/280 - (303*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 2, 2, -1, Infinity] -> (-79*S[-1, Infinity]^7)/1260 + 
   (S[-1, Infinity]^6*S[1, Infinity])/10 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/10 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/6 - (3*S[3, Infinity])/16) - 
   (27*S[2, Infinity]^2*S[3, Infinity])/160 + (8037*S[7, Infinity])/256 - 
   S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*((-137*S[2, Infinity]^2)/120 + 
     (8*S[-1, 1, 1, 1, Infinity])/3) + S[1, Infinity]*
    ((-97*S[2, Infinity]^3)/140 - (61*S[3, Infinity]^2)/32 + 
     4*S[-5, -1, Infinity] - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/8 - 
     (591*S[5, Infinity])/64 + S[1, Infinity]*(-S[2, Infinity]^2/20 - 
       4*S[-1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-921*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((51*S[2, Infinity]^3)/280 + (61*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/4 + 
       (125*S[5, Infinity])/16 + 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, 2, 1, Infinity] -> 
  (-13*S[-1, Infinity]^7)/630 + (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/6 + S[3, Infinity]/8) - 
   (6961*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (122249*S[7, Infinity])/7168 + (3*S[-5, 1, 1, Infinity])/7 + 
   (89*S[5, -1, -1, Infinity])/28 - 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^3*(-S[2, Infinity]^2/3 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/4 - (779*S[5, Infinity])/128 + 
     S[1, Infinity]*(S[2, Infinity]^2/2 - 2*S[-1, 1, 1, 1, Infinity]) - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-8877*S[5, Infinity])/896 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-661*S[2, Infinity]^3)/560 - (119*S[3, Infinity]^2)/64 + 
     (19*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-373*S[2, Infinity]^3)/1120 + (33*S[3, Infinity]^2)/448 - 
     (9*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((125*S[5, Infinity])/16 + 
       8*S[-1, 1, 1, 1, 1, Infinity]) + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, -2, -1, Infinity] -> 
  -S[-1, Infinity]^7/126 + (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/20 + (7*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     S[3, Infinity]/96) + (73*S[2, Infinity]^2*S[3, Infinity])/140 - 
   (193083*S[7, Infinity])/7168 + (81*S[-5, 1, 1, Infinity])/28 - 
   (73*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/6 - (5*S[2, Infinity]^2)/24 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   (S[1, Infinity]^2*((-123*S[5, Infinity])/16 - 
      8*S[-1, 1, 1, 1, 1, Infinity]))/2 + S[2, Infinity]*
    ((893*S[5, Infinity])/224 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/8 + 
     (31*S[5, Infinity])/16 - 2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-61*S[2, Infinity]^3)/35 - (113*S[3, Infinity]^2)/64 + 
     (9*S[-5, -1, Infinity])/2 - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-1131*S[2, Infinity]^3)/1120 - 
     (1973*S[3, Infinity]^2)/896 - (45*S[-5, -1, Infinity])/28 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[1, Infinity]^2*((-19*S[2, Infinity]^2)/20 + 
        4*S[-1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]*
      ((-15*S[2, Infinity]*S[3, Infinity])/16 + (217*S[5, Infinity])/32 + 
       8*S[-1, 1, 1, 1, 1, Infinity]) + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, -2, 1, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 - 
   (31*S[2, Infinity]^2*S[3, Infinity])/64 + 
   S[1, Infinity]*((17*S[2, Infinity]^3)/56 - (115*S[3, Infinity]^2)/128) + 
   S[1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 - 
     (29*S[5, Infinity])/64) - (311*S[2, Infinity]*S[5, Infinity])/64 + 
   (2191*S[7, Infinity])/256 + S[-1, Infinity]*((-21*S[2, Infinity]^3)/80 - 
     (85*S[3, Infinity]^2)/64 + (3*S[-5, -1, Infinity])/2) + 
   (3*S[-5, 1, 1, Infinity])/2 + (3*S[5, -1, -1, Infinity])/2 - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], S[1, 1, -2, 2, -1, Infinity] -> 
  (-5*S[-1, Infinity]^7)/126 + (7*S[-1, Infinity]^6*S[1, Infinity])/90 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/60 + (3*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/3 + 
     (17*S[3, Infinity])/64) + (1351*S[2, Infinity]^2*S[3, Infinity])/320 + 
   (439*S[2, Infinity]*S[5, Infinity])/64 - (9279*S[7, Infinity])/512 - 
   (7*S[-5, 1, 1, Infinity])/2 - (5*S[5, -1, -1, Infinity])/2 + 
   (33*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/6 + 
     (7*S[2, Infinity]^2)/8 - (7*S[1, Infinity]*S[3, Infinity])/6 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]*
    ((19*S[1, Infinity]^2*S[2, Infinity]^2)/40 + (533*S[2, Infinity]^3)/280 - 
     (13*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (133*S[3, Infinity]^2)/32 - (7*S[-5, -1, Infinity])/2 + 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((7*S[1, Infinity]^2*S[3, Infinity])/8 + 
     (131*S[2, Infinity]*S[3, Infinity])/32 - (31*S[5, Infinity])/16 + 
     S[1, Infinity]*(-S[2, Infinity]^2/2 - 2*S[-1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((11*S[2, Infinity]*S[3, Infinity])/16 + 
     ((33*S[5, Infinity])/32 + 4*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((87*S[2, Infinity]^3)/280 - (109*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -2, 2, 1, Infinity] -> -S[-1, Infinity]^7/21 + 
   (S[-1, Infinity]^6*S[1, Infinity])/9 + S[-1, Infinity]^5*
    (-S[1, Infinity]^2/15 + S[2, Infinity]/5) + 
   S[-1, Infinity]^4*((-7*S[1, Infinity]*S[2, Infinity])/12 + 
     (83*S[3, Infinity])/192) + (247*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (1769*S[2, Infinity]*S[5, Infinity])/224 - (45407*S[7, Infinity])/1792 - 
   (9*S[-5, 1, 1, Infinity])/28 - (18*S[5, -1, -1, Infinity])/7 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/3 - 
     (7*S[1, Infinity]*S[3, Infinity])/6 + 2*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
     ((-89*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((7*S[1, Infinity]^2*S[3, Infinity])/8 + 
     (S[2, Infinity]*S[3, Infinity])/32 + S[1, Infinity]*
      (S[2, Infinity]^2/2 - 4*S[-1, 1, 1, 1, Infinity]) - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-67*S[2, Infinity]^3)/70 - (7*S[3, Infinity]^2)/128 + 
     (5*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((9*S[2, Infinity]^3)/20 - (275*S[3, Infinity]^2)/448 - 
     (18*S[-5, -1, Infinity])/7 + 2*S[1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((7*S[2, Infinity]*S[3, Infinity])/4 + (155*S[5, Infinity])/64 + 
       8*S[-1, 1, 1, 1, 1, Infinity]) + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, -2, -1, Infinity] -> 
  (5*S[-1, Infinity]^7)/126 - (7*S[-1, Infinity]^6*S[1, Infinity])/90 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 - S[2, Infinity]/10) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/3 - 
     (7*S[3, Infinity])/24) - (2117*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (9783*S[2, Infinity]*S[5, Infinity])/896 + (35281*S[7, Infinity])/1792 + 
   (13*S[-5, 1, 1, Infinity])/28 + (19*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/6 - 
     S[2, Infinity]^2/2 + (7*S[1, Infinity]*S[3, Infinity])/6 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-113*S[1, Infinity]^2*S[2, Infinity]^2)/80 - 
     (2321*S[2, Infinity]^3)/560 - (5*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/4 - (65*S[3, Infinity]^2)/112 + 
     (13*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/8 - (89*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-7*S[1, Infinity]^2*S[3, Infinity])/8 - 
     (21*S[2, Infinity]*S[3, Infinity])/8 - (279*S[5, Infinity])/64 + 
     S[1, Infinity]*(S[2, Infinity]^2/2 + 2*S[-1, 1, 1, 1, Infinity]) + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-411*S[2, Infinity]^3)/560 + (7*S[3, Infinity]^2)/4 - 
     (9*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 2, -2, 1, Infinity] -> S[-1, Infinity]^7/21 - 
   (S[-1, Infinity]^6*S[1, Infinity])/9 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/15 - S[2, Infinity]/5) + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/12 - 
     (11*S[3, Infinity])/24) + (263*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (2161*S[2, Infinity]*S[5, Infinity])/896 + (48575*S[7, Infinity])/7168 + 
   (31*S[-5, 1, 1, Infinity])/28 + (3*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/3 + 
     (7*S[1, Infinity]*S[3, Infinity])/6 - 2*S[-1, 1, 1, 1, Infinity]) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/32 + 
     (33*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]^2*S[3, Infinity])/8 + 
     (S[2, Infinity]*S[3, Infinity])/8 + S[1, Infinity]*
      (-S[2, Infinity]^2/2 + 4*S[-1, 1, 1, 1, Infinity]) + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-3*S[2, Infinity]^3)/160 + (419*S[3, Infinity]^2)/896 + 
     (3*S[-5, -1, Infinity])/28 - 2*S[1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/4 - (155*S[5, Infinity])/64 - 
       8*S[-1, 1, 1, 1, 1, Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((93*S[2, Infinity]^3)/80 - (13*S[3, Infinity]^2)/128 - 
     (5*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, 2, -1, Infinity] -> 
  S[-1, Infinity]^7/126 - (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/20 + S[2, Infinity]/30) + 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/12 + 
   (99*S[2, Infinity]^2*S[3, Infinity])/560 + (81113*S[7, Infinity])/3584 + 
   (17*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/6 - 
     S[2, Infinity]^2/6 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   S[2, Infinity]*((549*S[5, Infinity])/448 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/16 + (125*S[5, Infinity])/32 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((279*S[5, Infinity])/64 + 2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((491*S[2, Infinity]^3)/140 - (653*S[3, Infinity]^2)/448 + 
     (89*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*
      ((113*S[2, Infinity]^2)/80 - 2*S[-1, 1, 1, 1, Infinity]) - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*(3*S[2, Infinity]*S[3, Infinity] - 
       (93*S[5, Infinity])/16 - 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((86*S[2, Infinity]^3)/35 + (27*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/4 + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, 2, 1, Infinity] -> 
  (-12*S[2, Infinity]^2*S[3, Infinity])/5 + 
   S[1, Infinity]*((-8*S[2, Infinity]^3)/7 + 2*S[3, Infinity]^2) + 
   S[1, Infinity]^2*S[5, Infinity] + S[2, Infinity]*S[5, Infinity] + 
   10*S[7, Infinity], S[1, -1, -2, -1, -2, Infinity] -> 
  (-16*S[-1, Infinity]^7)/315 + (S[-1, Infinity]^6*S[1, Infinity])/15 + 
   (S[-1, Infinity]^5*S[2, Infinity])/30 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/6 - (37*S[3, Infinity])/192) - 
   (1381*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (243533*S[7, Infinity])/3584 - (145*S[-5, 1, 1, Infinity])/28 + 
   (99*S[5, -1, -1, Infinity])/14 + 
   (37*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/48 + (8*S[-1, 1, 1, 1, Infinity])/
      3) + S[2, Infinity]*((-31709*S[5, Infinity])/896 - 
     13*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((11*S[2, Infinity]*S[3, Infinity])/32 - (2613*S[5, Infinity])/128 + 
     S[1, Infinity]*((3*S[2, Infinity]^2)/8 - 4*S[-1, 1, 1, 1, Infinity]) - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((25*S[2, Infinity]^3)/112 + (725*S[3, Infinity]^2)/112 - 
     (145*S[-5, -1, Infinity])/28 + 5*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((13*S[2, Infinity]*S[3, Infinity])/8 + (547*S[5, Infinity])/32 + 
       16*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-13*S[2, Infinity]^3)/5 - (455*S[3, Infinity]^2)/128 + 
     13*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, -1, 2, Infinity] -> 
  S[-1, Infinity]^7/30 - (S[-1, Infinity]^6*S[1, Infinity])/15 - 
   (S[-1, Infinity]^5*S[2, Infinity])/5 + 
   (127*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/12 + 
     S[3, Infinity]/16) - (1583*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (29907*S[7, Infinity])/1792 - (6*S[-5, 1, 1, Infinity])/7 + 
   (51*S[5, -1, -1, Infinity])/14 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-39*S[1, Infinity]*S[2, Infinity]^2)/10 + 
     (25*S[2, Infinity]*S[3, Infinity])/32 - (413*S[5, Infinity])/32 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-3337*S[5, Infinity])/896 + (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-421*S[2, Infinity]^3)/70 - (95*S[3, Infinity]^2)/8 + 
     26*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1997*S[2, Infinity]^3)/560 + (8415*S[3, Infinity]^2)/896 - 
     (97*S[-5, -1, Infinity])/7 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-37*S[2, Infinity]*S[3, Infinity])/16 + 
       (547*S[5, Infinity])/32 + 16*S[-1, 1, 1, 1, 1, Infinity]) + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, -1, -2, 1, -2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/24 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/48 + S[3, Infinity]/192) + 
   (1247*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (S[2, Infinity]*S[3, Infinity])/32 + (859*S[5, Infinity])/128) - 
   (11707*S[7, Infinity])/896 + S[-1, Infinity]*((717*S[2, Infinity]^3)/280 - 
     (445*S[3, Infinity]^2)/224 + S[1, Infinity]*
      (-(S[2, Infinity]*S[3, Infinity])/8 - (53*S[5, Infinity])/64) - 
     (29*S[-5, -1, Infinity])/28) + (19*S[-5, 1, 1, Infinity])/7 - 
   (53*S[5, -1, -1, Infinity])/14 - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[1, Infinity]*((-279*S[2, Infinity]^3)/560 - 
     (61*S[3, Infinity]^2)/128 + S[-5, -1, Infinity] - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((9579*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2), S[1, -1, -2, 1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 + S[3, Infinity]/24) + 
   (109*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (3*S[2, Infinity]*S[3, Infinity])/16 + (197*S[5, Infinity])/64) - 
   (104081*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((-293*S[2, Infinity]^3)/224 - (95*S[3, Infinity]^2)/56 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/8 - 
       (53*S[5, Infinity])/64) + (19*S[-5, -1, Infinity])/14) + 
   (19*S[-5, 1, 1, Infinity])/14 - (39*S[5, -1, -1, Infinity])/28 - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((261*S[2, Infinity]^3)/560 + (119*S[3, Infinity]^2)/128 - 
     (11*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((4877*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 2, -1, -2, Infinity] -> -S[-1, Infinity]^7/30 + 
   (S[-1, Infinity]^6*S[1, Infinity])/15 + 
   (9*S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (137*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/12 - 
     S[3, Infinity]/48) - (297*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (1301*S[7, Infinity])/896 - S[-5, 1, 1, Infinity]/14 - 
   (11*S[5, -1, -1, Infinity])/7 + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[2, Infinity]*((-779*S[5, Infinity])/224 - 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((39*S[1, Infinity]*S[2, Infinity]^2)/10 - 
     (25*S[2, Infinity]*S[3, Infinity])/32 + (75*S[5, Infinity])/8 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-1171*S[2, Infinity]^3)/280 - (893*S[3, Infinity]^2)/112 + 
     (101*S[-5, -1, Infinity])/7 + S[1, Infinity]*
      ((S[2, Infinity]*S[3, Infinity])/2 - (507*S[5, Infinity])/32 - 
       16*S[-1, 1, 1, 1, 1, Infinity]) - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((1643*S[2, Infinity]^3)/280 + (41*S[3, Infinity]^2)/4 - 
     26*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, -1, 2, -1, 2, Infinity] -> 
  (16*S[-1, Infinity]^7)/315 - (S[-1, Infinity]^6*S[1, Infinity])/15 - 
   (S[-1, Infinity]^5*S[2, Infinity])/12 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/6 + S[3, Infinity]/8) + 
   (6831*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (589829*S[7, Infinity])/7168 + (37*S[-5, 1, 1, Infinity])/14 - 
   (227*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((17*S[2, Infinity]^2)/48 - (8*S[-1, 1, 1, 1, Infinity])/3) - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-163*S[2, Infinity]^3)/1120 - (83*S[3, Infinity]^2)/14 + 
     (37*S[-5, -1, Infinity])/14 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((S[2, Infinity]*S[3, Infinity])/2 - (507*S[5, Infinity])/32 - 
       16*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/16 + (2347*S[5, Infinity])/128 + 
     S[1, Infinity]*((-3*S[2, Infinity]^2)/8 + 4*S[-1, 1, 1, 1, Infinity]) + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((36227*S[5, Infinity])/896 + 14*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((213*S[2, Infinity]^3)/70 + (77*S[3, Infinity]^2)/16 - 
     (23*S[-5, -1, Infinity])/2 + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, 1, -2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/8 - 
     (21*S[3, Infinity])/64) + (17749*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (21097*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/4 + 
     (73*S[2, Infinity]*S[3, Infinity])/16 + (197*S[5, Infinity])/64) - 
   (202275*S[7, Infinity])/3584 - (149*S[-5, 1, 1, Infinity])/28 - 
   (99*S[5, -1, -1, Infinity])/14 + 
   (63*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-69*S[2, Infinity]^3)/112 - (181*S[3, Infinity]^2)/128 - 
     (7*S[-5, -1, Infinity])/4 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((53*S[2, Infinity]^3)/28 + (2833*S[3, Infinity]^2)/448 + 
     S[1, Infinity]*((-41*S[2, Infinity]*S[3, Infinity])/16 - 
       (177*S[5, Infinity])/64) - (149*S[-5, -1, Infinity])/28 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[1, -1, 2, 1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/16 + 
     (7*S[3, Infinity])/64) - (161*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (25*S[2, Infinity]*S[5, Infinity])/8 + S[-1, Infinity]^2*
    ((3*S[1, Infinity]*S[2, Infinity]^2)/8 - 2*S[2, Infinity]*
      S[3, Infinity] + (487*S[5, Infinity])/128) - (63*S[7, Infinity])/512 + 
   S[-5, 1, 1, Infinity] - (3*S[5, -1, -1, Infinity])/2 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((97*S[2, Infinity]^3)/140 - (607*S[3, Infinity]^2)/128 + 
     S[1, Infinity]*((11*S[2, Infinity]*S[3, Infinity])/8 - 
       (177*S[5, Infinity])/64) + S[-5, -1, Infinity]/4 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-9*S[2, Infinity]^3)/28 + (7*S[3, Infinity]^2)/4 - 
     S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[1, 1, -2, -1, -2, Infinity] -> S[-1, Infinity]^7/63 - 
   (S[-1, Infinity]^6*S[1, Infinity])/15 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/10 + S[2, Infinity]/16) + 
   S[-1, Infinity]^4*((11*S[1, Infinity]*S[2, Infinity])/48 + 
     S[3, Infinity]/64) - (1657*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (198503*S[7, Infinity])/3584 - (121*S[-5, 1, 1, Infinity])/28 + 
   (69*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/3 - (7*S[2, Infinity]^2)/24 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/8 + 
     (155*S[5, Infinity])/64 + S[1, Infinity]*((-3*S[2, Infinity]^2)/8 + 
       4*S[-1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1535*S[5, Infinity])/224 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    ((-13*S[2, Infinity]*S[3, Infinity])/32 + 
     ((547*S[5, Infinity])/32 + 16*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((25*S[2, Infinity]^3)/8 + (1067*S[3, Infinity]^2)/896 + 
     (173*S[-5, -1, Infinity])/28 + 
     (S[1, Infinity]^2*((17*S[2, Infinity]^2)/5 - 
        8*S[-1, 1, 1, 1, Infinity]))/2 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*((-1457*S[5, Infinity])/64 - 
       16*S[-1, 1, 1, 1, 1, Infinity]) - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((989*S[2, Infinity]^3)/560 + (659*S[3, Infinity]^2)/128 - 
     14*S[-5, -1, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, -1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/8 + S[3, Infinity]/8) + 
   (699*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((3*S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (19*S[2, Infinity]*S[3, Infinity])/16) + 
   S[1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/16 - 
     (363*S[5, Infinity])/128) + (38841*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((-3*S[1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (1657*S[2, Infinity]^3)/1120 - (167*S[3, Infinity]^2)/112 + 
     (53*S[-5, -1, Infinity])/28) + (53*S[-5, 1, 1, Infinity])/28 + 
   (53*S[5, -1, -1, Infinity])/28 - 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*((31*S[2, Infinity]^3)/28 + 
     S[3, Infinity]^2/16 - (7*S[-5, -1, Infinity])/2 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-6389*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -2, 1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 - 
   (43*S[2, Infinity]^2*S[3, Infinity])/32 + 
   S[1, Infinity]*((11*S[2, Infinity]^3)/280 + S[3, Infinity]^2/128) + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/32 + 
     (5*S[5, Infinity])/16) + (1037*S[7, Infinity])/128 + 
   S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/40 - (73*S[3, Infinity]^2)/64 + 
     S[-5, -1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-59*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -2, 1, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (15*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 + 
   (587*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/32 - 
     (53*S[5, Infinity])/128) - (23335*S[7, Infinity])/3584 + 
   S[1, Infinity]*((61*S[2, Infinity]^3)/560 - (35*S[3, Infinity]^2)/128 + 
     (3*S[-5, -1, Infinity])/4) - (5*S[-5, 1, 1, Infinity])/28 - 
   (13*S[5, -1, -1, Infinity])/14 + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((13*S[2, Infinity]^3)/80 + (275*S[3, Infinity]^2)/448 + 
     (93*S[1, Infinity]*S[5, Infinity])/64 - (13*S[-5, -1, Infinity])/14 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((109*S[5, Infinity])/56 - S[-1, 1, 1, 1, 1, Infinity]/2), 
 S[1, 1, 2, -1, -2, Infinity] -> (11*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 + 
     (31*S[3, Infinity])/192) - (2301*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (59*S[2, Infinity]*S[3, Infinity])/32) + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 + 
     (257*S[5, Infinity])/128) + (195211*S[7, Infinity])/7168 + 
   (73*S[-5, 1, 1, Infinity])/28 + (73*S[5, -1, -1, Infinity])/28 - 
   (31*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((3*S[1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (155*S[2, Infinity]^3)/224 + (7*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/4 - (365*S[3, Infinity]^2)/112 + 
     (73*S[-5, -1, Infinity])/28 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[1, Infinity]*((-43*S[2, Infinity]^3)/56 + 
     (39*S[3, Infinity]^2)/64 + (7*S[-5, -1, Infinity])/2 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-3929*S[5, Infinity])/896 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 2, -1, 2, Infinity] -> 
  -S[-1, Infinity]^7/63 + (S[-1, Infinity]^6*S[1, Infinity])/15 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/10 - (9*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*((-3*S[1, Infinity]*S[2, Infinity])/16 - 
     (25*S[3, Infinity])/192) + (1941*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (393483*S[7, Infinity])/7168 + (24*S[-5, 1, 1, Infinity])/7 - 
   (121*S[5, -1, -1, Infinity])/28 + 
   (25*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/3 + 
     (13*S[2, Infinity]^2)/24 + (4*S[-1, 1, 1, 1, Infinity])/3) + 
   S[2, Infinity]*((1963*S[5, Infinity])/448 - 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/2 - (507*S[5, Infinity])/64 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((39*S[2, Infinity]*S[3, Infinity])/32 - (155*S[5, Infinity])/64 + 
     S[1, Infinity]*(S[2, Infinity]^2/8 - 4*S[-1, 1, 1, 1, Infinity]) - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-1213*S[2, Infinity]^3)/560 - (81*S[3, Infinity]^2)/16 + 
     (25*S[-5, -1, Infinity])/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-517*S[2, Infinity]^3)/160 + (621*S[3, Infinity]^2)/
      448 - (39*S[-5, -1, Infinity])/7 + 
     (11*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]^2*((-17*S[2, Infinity]^2)/10 + 
       4*S[-1, 1, 1, 1, Infinity]) + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/8 + (1271*S[5, Infinity])/64 + 
       16*S[-1, 1, 1, 1, 1, Infinity]) + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, 1, -2, Infinity] -> 
  (753*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/32 - 
     (177*S[5, Infinity])/128) + (817*S[2, Infinity]*S[5, Infinity])/112 - 
   (121861*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((53*S[2, Infinity]^3)/160 - (477*S[3, Infinity]^2)/896 + 
     (465*S[1, Infinity]*S[5, Infinity])/64 - (53*S[-5, -1, Infinity])/28) + 
   S[1, Infinity]*((7*S[2, Infinity]^3)/5 - (165*S[3, Infinity]^2)/128 + 
     (15*S[-5, -1, Infinity])/4) + (13*S[-5, 1, 1, Infinity])/7 - 
   (53*S[5, -1, -1, Infinity])/28, S[1, 1, 2, 1, 2, Infinity] -> 
  (-9*S[2, Infinity]^2*S[3, Infinity])/10 + 
   S[1, Infinity]*((-38*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2) - 
   (15*S[2, Infinity]*S[5, Infinity])/4 + S[1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/2 + (9*S[5, Infinity])/4) + 
   17*S[7, Infinity], S[1, -1, -1, -3, -1, Infinity] -> 
  (23*S[-1, Infinity]^7)/2520 - (S[-1, Infinity]^6*S[1, Infinity])/120 - 
   (67*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (37*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/8 - 
     (5*S[3, Infinity])/64) - (681*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (122869*S[7, Infinity])/7168 - (33*S[-5, 1, 1, Infinity])/14 + 
   (137*S[5, -1, -1, Infinity])/28 + 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-149*S[2, Infinity]^3)/1120 + (165*S[3, Infinity]^2)/
      56 + S[1, Infinity]*((3*S[2, Infinity]*S[3, Infinity])/2 + 
       (15*S[5, Infinity])/32) - (33*S[-5, -1, Infinity])/14 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-1391*S[5, Infinity])/112 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (15*S[2, Infinity]*S[3, Infinity])/32 - (325*S[5, Infinity])/64 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((2113*S[2, Infinity]^3)/1680 + S[3, Infinity]^2/32 + 
     (3*S[-5, -1, Infinity])/4 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -3, 1, Infinity] -> 
  (S[-1, Infinity]^6*S[1, Infinity])/360 - (S[-1, Infinity]^5*S[2, Infinity])/
    15 + S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 + 
     (11*S[3, Infinity])/192) + (1227*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((19*S[2, Infinity]^2)/20 - 
     (7*S[1, Infinity]*S[3, Infinity])/24) - (241225*S[7, Infinity])/7168 - 
   (37*S[-5, 1, 1, Infinity])/14 - (137*S[5, -1, -1, Infinity])/28 + 
   (31*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-21*S[1, Infinity]*S[2, Infinity]^2)/20 + 
     (59*S[2, Infinity]*S[3, Infinity])/32 + (33*S[5, Infinity])/8 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((2747*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-403*S[2, Infinity]^3)/336 - S[3, Infinity]^2/2 + 
     (11*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1707*S[2, Infinity]^3)/1120 + (173*S[3, Infinity]^2)/224 + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
       (15*S[5, Infinity])/32) - (65*S[-5, -1, Infinity])/14 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 3, -1, Infinity] -> 
  (-29*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/60 + 
   (73*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (28*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/6 + 
     S[3, Infinity]/32) + (3181*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (3467*S[2, Infinity]*S[5, Infinity])/112 - (6995*S[7, Infinity])/112 + 
   S[1, Infinity]*((-295*S[2, Infinity]^3)/336 + (7*S[3, Infinity]^2)/4 - 
     5*S[-5, -1, Infinity]) + (93*S[-5, 1, 1, Infinity])/14 - 
   (145*S[5, -1, -1, Infinity])/14 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((27*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (3*S[2, Infinity]*S[3, Infinity])/16 + (2419*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((121*S[2, Infinity]^3)/560 - (423*S[3, Infinity]^2)/56 + 
     (179*S[-5, -1, Infinity])/28 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/2 - 
       (311*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 3, 1, Infinity] -> 
  -S[-1, Infinity]^7/140 + (S[-1, Infinity]^6*S[1, Infinity])/90 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     (15*S[3, Infinity])/32) + (247*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/6 - (7*S[1, Infinity]*S[3, Infinity])/
      24) + (1725*S[2, Infinity]*S[5, Infinity])/128 - 
   (21485*S[7, Infinity])/512 + (15*S[-5, 1, 1, Infinity])/4 - 
   (9*S[5, -1, -1, Infinity])/2 - 6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-313*S[2, Infinity]^3)/280 - (75*S[3, Infinity]^2)/16 + 
     (15*S[-5, -1, Infinity])/4 + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/8 - (311*S[5, Infinity])/64 - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((S[1, Infinity]*S[2, Infinity]^2)/4 - (5*S[2, Infinity]*S[3, Infinity])/
      8 + (667*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((1801*S[2, Infinity]^3)/1680 - (9*S[3, Infinity]^2)/16 - 
     (21*S[-5, -1, Infinity])/4 + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -3, -1, Infinity] -> 
  S[-1, Infinity]^7/120 - (S[-1, Infinity]^6*S[1, Infinity])/90 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (4951*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (20275*S[2, Infinity]*S[5, Infinity])/896 - (340889*S[7, Infinity])/7168 + 
   (115*S[-5, 1, 1, Infinity])/14 - (211*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-149*S[2, Infinity]^2)/120 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/16 + 
     (2109*S[5, Infinity])/128 + S[1, Infinity]*((7*S[2, Infinity]^2)/80 + 
       S[-1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((41*S[2, Infinity]^3)/210 - (9*S[3, Infinity]^2)/64 - 
     S[-5, -1, Infinity]/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((641*S[2, Infinity]^3)/1120 - (1593*S[3, Infinity]^2)/224 + 
     (125*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((11*S[2, Infinity]*S[3, Infinity])/16 - (39*S[5, Infinity])/16 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -3, 1, Infinity] -> 
  (4*S[-1, Infinity]^7)/315 - (S[-1, Infinity]^6*S[1, Infinity])/60 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     (31*S[3, Infinity])/96) - (629*S[2, Infinity]^2*S[3, Infinity])/140 + 
   (237*S[2, Infinity]*S[5, Infinity])/224 + (697*S[7, Infinity])/896 + 
   (47*S[-5, 1, 1, Infinity])/7 - (2*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-11*S[2, Infinity]^2)/12 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (31*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-167*S[2, Infinity]^3)/70 - (235*S[3, Infinity]^2)/28 + 
     (47*S[-5, -1, Infinity])/7 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/4 - 
       (39*S[5, Infinity])/16 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((-59*S[2, Infinity]*S[3, Infinity])/16 + 
     8*S[5, Infinity] + S[1, Infinity]*(S[2, Infinity]^2 + 
       S[-1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((673*S[2, Infinity]^3)/420 + (179*S[3, Infinity]^2)/64 - 
     4*S[-5, -1, Infinity] + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 3, -1, Infinity] -> (73*S[-1, Infinity]^7)/2520 - 
   (13*S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (4*S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    ((5*S[1, Infinity]*S[2, Infinity])/24 - (19*S[3, Infinity])/96) - 
   (1809*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (23367*S[7, Infinity])/7168 - (23*S[-5, 1, 1, Infinity])/28 + 
   (47*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((11*S[2, Infinity]^2)/12 + (7*S[1, Infinity]*S[3, Infinity])/24 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 - 
     (85*S[5, Infinity])/32 + S[1, Infinity]*((11*S[2, Infinity]^2)/40 + 
       S[-1, 1, 1, 1, Infinity])) + S[-1, Infinity]*
    ((-229*S[2, Infinity]^3)/160 + (115*S[3, Infinity]^2)/112 - 
     (23*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-11*S[2, Infinity]*S[3, Infinity])/16 - (125*S[5, Infinity])/64 - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-5573*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((251*S[2, Infinity]^3)/210 + (211*S[3, Infinity]^2)/128 - 
     4*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 3, 1, Infinity] -> (5*S[-1, Infinity]^7)/252 - 
   (S[-1, Infinity]^6*S[1, Infinity])/40 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/8 - S[3, Infinity]/16) + 
   (583*S[2, Infinity]^2*S[3, Infinity])/320 - (2417*S[7, Infinity])/64 + 
   (5*S[-5, 1, 1, Infinity])/2 - (9*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/10 - (2*S[-1, 1, 1, 1, Infinity])/
      3) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((-43*S[2, Infinity]^3)/120 - (67*S[3, Infinity]^2)/128 + 
     (3*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/8 + 
     (419*S[5, Infinity])/64 + S[1, Infinity]*((-4*S[2, Infinity]^2)/5 + 
       S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((1875*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((43*S[2, Infinity]^3)/70 - (75*S[3, Infinity]^2)/64 - 
     3*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-125*S[5, Infinity])/64 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -3, -1, Infinity] -> 
  (11*S[-1, Infinity]^7)/630 - (S[-1, Infinity]^6*S[1, Infinity])/20 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/24 - (59*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/24 - 
     S[3, Infinity]/32) - (1297*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (15*S[1, Infinity]^2*S[5, Infinity])/64 - 
   (7871*S[2, Infinity]*S[5, Infinity])/896 + (86579*S[7, Infinity])/7168 - 
   (3*S[-5, 1, 1, Infinity])/14 + (85*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/4 + 
     (35*S[2, Infinity]^2)/24 - S[-1, 1, 1, 1, Infinity]/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/16 - 
     (713*S[5, Infinity])/128 + S[1, Infinity]*((-19*S[2, Infinity]^2)/16 + 
       S[-1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((31*S[2, Infinity]^3)/168 - (173*S[3, Infinity]^2)/64 + 
     (31*S[-5, -1, Infinity])/4 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((477*S[2, Infinity]^3)/1120 + (303*S[3, Infinity]^2)/
      112 - (139*S[-5, -1, Infinity])/28 + 
     (S[1, Infinity]^2*((2*S[2, Infinity]^2)/5 - 2*S[-1, 1, 1, 1, Infinity]))/
      2 + (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((39*S[2, Infinity]*S[3, Infinity])/16 + 
       (155*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -3, 1, Infinity] -> (17*S[-1, Infinity]^7)/1260 - 
   (7*S[-1, Infinity]^6*S[1, Infinity])/180 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/30 - S[2, Infinity]/24) + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/24 - 
     (15*S[3, Infinity])/32) - (11*S[2, Infinity]^2*S[3, Infinity])/8 + 
   (6699*S[7, Infinity])/512 - (5*S[-5, 1, 1, Infinity])/2 + 
   S[5, -1, -1, Infinity]/2 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/6 - S[2, Infinity]^2/12 + 
     (7*S[1, Infinity]*S[3, Infinity])/12 - S[-1, 1, 1, 1, Infinity]/3) + 
   6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((771*S[2, Infinity]^3)/560 + 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (25*S[3, Infinity]^2)/8 - (5*S[-5, -1, Infinity])/2 + 
     (S[1, Infinity]^2*(S[2, Infinity]^2/2 - 2*S[-1, 1, 1, 1, Infinity]))/2 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (5*S[2, Infinity]*S[3, Infinity])/8 - (93*S[5, Infinity])/32 + 
     S[1, Infinity]*(-S[2, Infinity]^2/4 + S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((35*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
     ((85*S[5, Infinity])/16 + 2*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-5*S[2, Infinity]^3)/6 + (81*S[3, Infinity]^2)/64 + 
     3*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 3, -1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/840 + (S[-1, Infinity]^6*S[1, Infinity])/24 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/60 + (19*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/24 + 
     S[3, Infinity]/192) + (597*S[2, Infinity]^2*S[3, Infinity])/448 - 
   (29327*S[7, Infinity])/3584 + (4*S[-5, 1, 1, Infinity])/7 - 
   (41*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/6 - (301*S[2, Infinity]^2)/240 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((13*S[1, Infinity]^2*S[2, Infinity]^2)/80 - 
     (57*S[2, Infinity]^3)/560 - (39*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (5*S[3, Infinity]^2)/7 + 
     (4*S[-5, -1, Infinity])/7 - (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]*((-1139*S[2, Infinity]^3)/1680 + 
     (55*S[3, Infinity]^2)/128 - (5*S[-5, -1, Infinity])/2 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 - 
     (31*S[5, Infinity])/64 + S[1, Infinity]*((23*S[2, Infinity]^2)/40 - 
       S[-1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2923*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[1, Infinity]^2*((27*S[5, Infinity])/8 + 4*S[-1, 1, 1, 1, 1, Infinity]))/
    2 + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 3, 1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/120 + S[2, Infinity]/60) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 - 
     (25*S[3, Infinity])/192) + (143*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (3193*S[2, Infinity]*S[5, Infinity])/896 - (89209*S[7, Infinity])/7168 + 
   (93*S[-5, 1, 1, Infinity])/28 - (19*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 - 
     (13*S[2, Infinity]^2)/30 + (7*S[1, Infinity]*S[3, Infinity])/12 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/16 + 
     ((-311*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (17*S[2, Infinity]*S[3, Infinity])/32 - (527*S[5, Infinity])/128 + 
     S[1, Infinity]*((4*S[2, Infinity]^2)/5 - S[-1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-893*S[2, Infinity]^3)/1680 - (223*S[3, Infinity]^2)/128 + 
     3*S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-11*S[1, Infinity]^2*S[2, Infinity]^2)/20 - (157*S[2, Infinity]^3)/
      224 - (201*S[3, Infinity]^2)/448 - (61*S[-5, -1, Infinity])/28 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/8 + (527*S[5, Infinity])/64 + 
       6*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -3, -1, Infinity] -> 
  (-5*S[-1, Infinity]^7)/252 + (7*S[-1, Infinity]^6*S[1, Infinity])/180 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/120 + S[2, Infinity]/20) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/72 - 
     (5*S[1, Infinity]*S[2, Infinity])/24 + (17*S[3, Infinity])/144) + 
   (159*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (235*S[2, Infinity]*S[5, Infinity])/64 - (1919*S[7, Infinity])/256 - 
   S[-5, 1, 1, Infinity]/2 - S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/12 + 
     S[2, Infinity]^2/4 - (7*S[1, Infinity]*S[3, Infinity])/12 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (29*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/12 + 
   (S[1, Infinity]^3*((3*S[2, Infinity]^2)/10 + S[-1, 1, 1, 1, Infinity]))/
    3 + S[-1, Infinity]*((17*S[1, Infinity]^2*S[2, Infinity]^2)/40 + 
     (46*S[2, Infinity]^3)/35 + (5*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 + (5*S[3, Infinity]^2)/8 - S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/12 + 
     (7*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (71*S[2, Infinity]*S[3, Infinity])/48 + (31*S[5, Infinity])/32 - 
     S[1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/16 + 
     (15*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((509*S[2, Infinity]^3)/840 - (41*S[3, Infinity]^2)/64 + 
     S[-5, -1, Infinity]/2 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -3, 1, Infinity] -> 
  (-2*S[-1, Infinity]^7)/63 + (S[-1, Infinity]^6*S[1, Infinity])/12 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/15 + S[2, Infinity]/10) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/72 - (3*S[1, Infinity]*S[2, Infinity])/
      8 + (95*S[3, Infinity])/288) - (139*S[2, Infinity]^2*S[3, Infinity])/
    240 - (1403*S[7, Infinity])/128 - S[5, -1, -1, Infinity] + 
   (S[1, Infinity]^3*((-11*S[2, Infinity]^2)/20 - S[-1, 1, 1, 1, Infinity]))/
    3 - (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/12 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/3 + 
     S[2, Infinity]^2/6 - (7*S[1, Infinity]*S[3, Infinity])/8 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]^2*
    (-(S[1, Infinity]^3*S[2, Infinity])/12 + 
     (7*S[1, Infinity]^2*S[3, Infinity])/8 + 
     (5*S[2, Infinity]*S[3, Infinity])/24 - 3*S[1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 - 
     (39*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((81*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-227*S[2, Infinity]^3)/168 - (9*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/2 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/40 - 
     (7*S[1, Infinity]^3*S[3, Infinity])/24 - (13*S[3, Infinity]^2)/12 - 
     S[-5, -1, Infinity] + 2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((93*S[5, Infinity])/32 + 6*S[-1, 1, 1, 1, 1, Infinity]) + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 3, -1, Infinity] -> S[-1, Infinity]^7/252 - 
   (S[-1, Infinity]^6*S[1, Infinity])/90 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/120 - S[2, Infinity]/60) + 
   (S[1, Infinity]^3*S[2, Infinity]^2)/48 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/12 - (7*S[3, Infinity])/96) + 
   (289*S[2, Infinity]^2*S[3, Infinity])/1680 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 - 
     S[2, Infinity]^2/12 + (7*S[1, Infinity]*S[3, Infinity])/24) - 
   (37417*S[7, Infinity])/3584 - (27*S[-5, 1, 1, Infinity])/28 - 
   (5*S[5, -1, -1, Infinity])/7 + S[1, Infinity]^2*
    ((-125*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (7*S[2, Infinity]*S[3, Infinity])/16 - (31*S[5, Infinity])/32 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((499*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-1271*S[2, Infinity]^3)/1680 - (7*S[3, Infinity]^2)/32 + 
     S[-5, -1, Infinity]/4 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-17*S[1, Infinity]^2*S[2, Infinity]^2)/40 - 
     (71*S[2, Infinity]^3)/70 + (7*S[1, Infinity]^3*S[3, Infinity])/24 + 
     (677*S[3, Infinity]^2)/672 - (17*S[-5, -1, Infinity])/14 + 
     S[1, Infinity]*((-5*S[2, Infinity]*S[3, Infinity])/8 + 
       (93*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 3, 1, Infinity] -> (S[1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (41*S[2, Infinity]^2*S[3, Infinity])/30 + 
   S[1, Infinity]*((53*S[2, Infinity]^3)/84 - S[3, Infinity]^2) - 
   (S[1, Infinity]^2*S[5, Infinity])/4 - (S[2, Infinity]*S[5, Infinity])/4 - 
   4*S[7, Infinity], S[1, -1, -1, -2, -2, Infinity] -> 
  (8*S[-1, Infinity]^7)/315 - (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/6 + (35*S[3, Infinity])/192) + 
   (3779*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (526313*S[7, Infinity])/7168 + (113*S[-5, 1, 1, Infinity])/28 - 
   (251*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-53*S[2, Infinity]^2)/120 - (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (35*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((639*S[2, Infinity]^3)/1120 - (565*S[3, Infinity]^2)/
      112 + (113*S[-5, -1, Infinity])/28 - 5*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-13*S[2, Infinity]*S[3, Infinity])/4 - (331*S[5, Infinity])/32 - 
       8*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((17*S[2, Infinity]*S[3, Infinity])/32 + (1137*S[5, Infinity])/64 + 
     S[1, Infinity]*((-27*S[2, Infinity]^2)/80 + 
       2*S[-1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((8947*S[5, Infinity])/224 + 
     11*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((281*S[2, Infinity]^3)/240 + (59*S[3, Infinity]^2)/64 - 
     (19*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -2, 2, Infinity] -> 
  (19*S[-1, Infinity]^7)/630 - (7*S[-1, Infinity]^6*S[1, Infinity])/180 - 
   (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (297*S[2, Infinity]^2*S[3, Infinity])/560 - (71045*S[7, Infinity])/3584 + 
   (58*S[-5, 1, 1, Infinity])/7 - (26*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-121*S[2, Infinity]^2)/120 + 
     (7*S[1, Infinity]*S[3, Infinity])/12 - (4*S[-1, 1, 1, 1, Infinity])/3) + 
   S[2, Infinity]*((4197*S[5, Infinity])/896 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-41*S[2, Infinity]*S[3, Infinity])/16 + (1075*S[5, Infinity])/64 + 
     S[1, Infinity]*((131*S[2, Infinity]^2)/80 + 
       2*S[-1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-27*S[2, Infinity]^3)/16 - (3527*S[3, Infinity]^2)/448 + 
     (109*S[-5, -1, Infinity])/14 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((27*S[2, Infinity]*S[3, Infinity])/8 - 
       (331*S[5, Infinity])/32 - 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((4307*S[2, Infinity]^3)/1680 + (73*S[3, Infinity]^2)/16 - 
     9*S[-5, -1, Infinity] + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 2, -2, Infinity] -> 
  (-19*S[-1, Infinity]^7)/630 + (7*S[-1, Infinity]^6*S[1, Infinity])/180 + 
   (S[-1, Infinity]^5*S[2, Infinity])/30 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/16 + (19*S[3, Infinity])/64) + 
   (237*S[2, Infinity]^2*S[3, Infinity])/560 + (24485*S[7, Infinity])/7168 - 
   (125*S[-5, 1, 1, Infinity])/14 - (47*S[5, -1, -1, Infinity])/28 + 
   (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((11*S[2, Infinity]^2)/8 - 
     (7*S[1, Infinity]*S[3, Infinity])/12 + (4*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]^2*((85*S[2, Infinity]*S[3, Infinity])/32 - 
     (1353*S[5, Infinity])/128 + S[1, Infinity]*((-27*S[2, Infinity]^2)/16 - 
       2*S[-1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((5027*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-1381*S[2, Infinity]^3)/420 - (49*S[3, Infinity]^2)/16 + 
     9*S[-5, -1, Infinity] - (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((4663*S[2, Infinity]^3)/1120 + (2753*S[3, Infinity]^2)/448 - 
     (341*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-15*S[2, Infinity]*S[3, Infinity])/8 + (227*S[5, Infinity])/32 + 
       8*S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 2, 2, Infinity] -> 
  (-8*S[-1, Infinity]^7)/315 + (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 - (5*S[3, Infinity])/48) + 
   (751*S[2, Infinity]^2*S[3, Infinity])/560 + (14905*S[7, Infinity])/896 - 
   (37*S[-5, 1, 1, Infinity])/14 + (33*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/15 + (4*S[-1, 1, 1, 1, Infinity])/
      3) + S[2, Infinity]*((-249*S[5, Infinity])/28 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/2 - (537*S[5, Infinity])/64 + 
     S[1, Infinity]*(S[2, Infinity]^2/10 - 2*S[-1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((17*S[2, Infinity]^3)/20 + (185*S[3, Infinity]^2)/56 - 
     (37*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((S[2, Infinity]*S[3, Infinity])/4 + (227*S[5, Infinity])/32 + 
       8*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-491*S[2, Infinity]^3)/336 - (125*S[3, Infinity]^2)/64 + 
     (23*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -2, -2, Infinity] -> 
  S[-1, Infinity]^7/105 - (S[-1, Infinity]^6*S[1, Infinity])/60 - 
   (S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/12 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (7*S[2, Infinity]^2*S[3, Infinity])/8 + (2719*S[7, Infinity])/128 - 
   (11*S[-5, 1, 1, Infinity])/4 + (5*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^2*((-17*S[1, Infinity]*S[2, Infinity]^2)/16 - 
     (5*S[2, Infinity]*S[3, Infinity])/32 - (857*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-845*S[5, Infinity])/128 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-178*S[2, Infinity]^3)/105 - (37*S[3, Infinity]^2)/16 + 
     7*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((103*S[2, Infinity]^3)/56 + (463*S[3, Infinity]^2)/128 - 
     6*S[-5, -1, Infinity] + S[1, Infinity]*
      ((5*S[2, Infinity]*S[3, Infinity])/16 + (103*S[5, Infinity])/32 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -2, 2, Infinity] -> 
  S[-1, Infinity]^7/70 - (S[-1, Infinity]^6*S[1, Infinity])/45 - 
   (31*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/3 - 
     (29*S[3, Infinity])/48) + (1973*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^3*((31*S[2, Infinity]^2)/60 + 
     (7*S[1, Infinity]*S[3, Infinity])/12) + (41093*S[7, Infinity])/7168 - 
   (83*S[-5, 1, 1, Infinity])/28 + S[5, -1, -1, Infinity]/28 + 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-901*S[5, Infinity])/448 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-13*S[1, Infinity]*S[2, Infinity]^2)/20 + 
     (49*S[2, Infinity]*S[3, Infinity])/16 - (289*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((2151*S[2, Infinity]^3)/1120 + (415*S[3, Infinity]^2)/112 - 
     (83*S[-5, -1, Infinity])/28 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-19*S[2, Infinity]*S[3, Infinity])/8 + (103*S[5, Infinity])/32 + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-3571*S[2, Infinity]^3)/1680 - (217*S[3, Infinity]^2)/128 + 
     (15*S[-5, -1, Infinity])/4 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 2, -2, Infinity] -> 
  -S[-1, Infinity]^7/70 + (S[-1, Infinity]^6*S[1, Infinity])/45 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/8 + S[-1, Infinity]^4*
    ((-11*S[1, Infinity]*S[2, Infinity])/24 + (179*S[3, Infinity])/192) - 
   (13931*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^3*((-61*S[2, Infinity]^2)/40 - 
     (7*S[1, Infinity]*S[3, Infinity])/12) + (19953*S[7, Infinity])/1792 + 
   (263*S[-5, 1, 1, Infinity])/28 + (8*S[5, -1, -1, Infinity])/7 - 
   (95*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-111*S[2, Infinity]^3)/35 - (1315*S[3, Infinity]^2)/
      112 + (263*S[-5, -1, Infinity])/28 - 7*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((37*S[2, Infinity]*S[3, Infinity])/8 - (73*S[5, Infinity])/64 - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((153*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (197*S[2, Infinity]*S[3, Infinity])/32 + (137*S[5, Infinity])/16 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1797*S[5, Infinity])/896 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((2641*S[2, Infinity]^3)/840 + (499*S[3, Infinity]^2)/128 - 
     (19*S[-5, -1, Infinity])/4 + 7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 2, 2, Infinity] -> 
  -S[-1, Infinity]^7/105 + (S[-1, Infinity]^6*S[1, Infinity])/60 + 
   (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/48 - 
     (7*S[3, Infinity])/64) + (1237*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (172839*S[7, Infinity])/7168 + (29*S[-5, 1, 1, Infinity])/7 - 
   (87*S[5, -1, -1, Infinity])/28 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((7891*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((21*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (11*S[2, Infinity]*S[3, Infinity])/8 + (243*S[5, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-767*S[2, Infinity]^3)/1120 - (895*S[3, Infinity]^2)/896 + 
     (51*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-23*S[2, Infinity]*S[3, Infinity])/16 - 
       (73*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((611*S[2, Infinity]^3)/420 + (5*S[3, Infinity]^2)/32 - 
     (17*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -2, -2, Infinity] -> 
  (-19*S[-1, Infinity]^7)/1260 + (S[-1, Infinity]^6*S[1, Infinity])/20 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/20 + S[2, Infinity]/80) + 
   S[-1, Infinity]^4*((-11*S[1, Infinity]*S[2, Infinity])/48 - 
     S[3, Infinity]/64) + (131*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (3519*S[7, Infinity])/3584 - (3*S[-5, 1, 1, Infinity])/14 + 
   (39*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/6 - (5*S[2, Infinity]^2)/16 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((977*S[2, Infinity]^3)/1680 + (77*S[3, Infinity]^2)/128 - 
     (3*S[-5, -1, Infinity])/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/32 + 
     ((-331*S[5, Infinity])/32 - 8*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-11889*S[5, Infinity])/896 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/32 - (775*S[5, Infinity])/128 + 
     S[1, Infinity]*((23*S[2, Infinity]^2)/16 - 2*S[-1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-2063*S[2, Infinity]^3)/560 + (1101*S[3, Infinity]^2)/896 + 
     (57*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 
     (S[1, Infinity]^2*((-17*S[2, Infinity]^2)/8 + 
        4*S[-1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]*
      ((403*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -2, 2, Infinity] -> (-17*S[-1, Infinity]^7)/630 + 
   (7*S[-1, Infinity]^6*S[1, Infinity])/90 + S[-1, Infinity]^5*
    (-S[1, Infinity]^2/15 + (7*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*((-7*S[1, Infinity]*S[2, Infinity])/24 + 
     (5*S[3, Infinity])/16) + (1427*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (26037*S[7, Infinity])/3584 - (61*S[-5, 1, 1, Infinity])/28 - 
   (10*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^2*
    ((7*S[1, Infinity]^2*S[3, Infinity])/8 + 
     (5*S[2, Infinity]*S[3, Infinity])/2 - (93*S[5, Infinity])/128 + 
     S[1, Infinity]*((-11*S[2, Infinity]^2)/10 - 
       2*S[-1, 1, 1, 1, Infinity])) + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/3 + (7*S[2, Infinity]^2)/10 - 
     (7*S[1, Infinity]*S[3, Infinity])/6 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((421*S[2, Infinity]^3)/280 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (305*S[3, Infinity]^2)/112 - (61*S[-5, -1, Infinity])/28 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (S[1, Infinity]^2*((7*S[2, Infinity]^2)/10 + 
        4*S[-1, 1, 1, 1, Infinity]))/2) + S[1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/16 + 
     ((-259*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((401*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-167*S[2, Infinity]^3)/840 - (3*S[3, Infinity]^2)/2 + 
     (3*S[-5, -1, Infinity])/4 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 2, -2, Infinity] -> (17*S[-1, Infinity]^7)/630 - 
   (7*S[-1, Infinity]^6*S[1, Infinity])/90 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/15 - (3*S[2, Infinity])/40) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/4 - 
     (65*S[3, Infinity])/192) - (14227*S[2, Infinity]^2*S[3, Infinity])/
    2240 + (180373*S[7, Infinity])/3584 + (17*S[-5, 1, 1, Infinity])/7 + 
   (83*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/3 - (127*S[2, Infinity]^2)/240 + 
     (7*S[1, Infinity]*S[3, Infinity])/6 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-73*S[2, Infinity]^3)/56 + 
     (35*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (85*S[3, Infinity]^2)/28 + (17*S[-5, -1, Infinity])/7 + 
     (S[1, Infinity]^2*((13*S[2, Infinity]^2)/40 - 
        4*S[-1, 1, 1, 1, Infinity]))/2 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-7*S[1, Infinity]^2*S[3, Infinity])/8 - 
     (117*S[2, Infinity]*S[3, Infinity])/32 - (217*S[5, Infinity])/64 + 
     S[1, Infinity]*((67*S[2, Infinity]^2)/80 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-9461*S[5, Infinity])/448 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/4 + 
     ((129*S[5, Infinity])/16 + 4*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((29*S[2, Infinity]^3)/168 + (285*S[3, Infinity]^2)/128 + 
     (7*S[-5, -1, Infinity])/2 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 2, 2, Infinity] -> (19*S[-1, Infinity]^7)/1260 - 
   (S[-1, Infinity]^6*S[1, Infinity])/20 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/20 - S[2, Infinity]/240) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/4 + 
     S[3, Infinity]/16) - (1223*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (19895*S[7, Infinity])/896 - (15*S[-5, 1, 1, Infinity])/14 + 
   (24*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/6 + (41*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((19*S[2, Infinity]^3)/84 - (145*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/32 - 
     (155*S[5, Infinity])/32 + S[1, Infinity]*((-91*S[2, Infinity]^2)/80 + 
       2*S[-1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-639*S[5, Infinity])/224 + 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/16 + 
     ((227*S[5, Infinity])/32 + 8*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((153*S[2, Infinity]^3)/280 + (2481*S[3, Infinity]^2)/
      896 - S[-5, -1, Infinity]/14 + 
     (S[1, Infinity]^2*((51*S[2, Infinity]^2)/40 - 
        4*S[-1, 1, 1, 1, Infinity]))/2 - 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-21*S[2, Infinity]*S[3, Infinity])/16 + 
       (31*S[5, Infinity])/32 - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -2, -2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (13*S[1, Infinity]^3*S[2, Infinity]^2)/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 - 
     (7*S[3, Infinity])/64) + (703*S[2, Infinity]^2*S[3, Infinity])/480 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/4 + 
     (35*S[2, Infinity]*S[3, Infinity])/32) + 
   S[1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/16 + 
     (41*S[5, Infinity])/64) - (5275*S[7, Infinity])/512 - 
   (3*S[-5, 1, 1, Infinity])/2 - (3*S[5, -1, -1, Infinity])/2 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-157*S[2, Infinity]^3)/1680 - (51*S[3, Infinity]^2)/128 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((21*S[2, Infinity]^3)/80 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (15*S[3, Infinity]^2)/8 - (3*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((269*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, 1, -2, 2, Infinity] -> S[-1, Infinity]^7/63 - 
   (S[-1, Infinity]^6*S[1, Infinity])/18 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/15 + S[2, Infinity]/60) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/36 + 
     (7*S[1, Infinity]*S[2, Infinity])/48 - (95*S[3, Infinity])/576) + 
   (S[2, Infinity]^2*S[3, Infinity])/64 + (3385*S[7, Infinity])/512 - 
   S[-5, 1, 1, Infinity]/2 + S[5, -1, -1, Infinity]/2 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/3 - 
     (5*S[2, Infinity]^2)/12 + (7*S[1, Infinity]*S[3, Infinity])/12 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[1, Infinity]^3*((51*S[2, Infinity]^2)/80 + 2*S[-1, 1, 1, 1, Infinity]))/
    3 + S[1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/32 + 
     (103*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/6 - 
     (7*S[1, Infinity]^2*S[3, Infinity])/8 - 
     (47*S[2, Infinity]*S[3, Infinity])/48 + S[1, Infinity]*
      ((5*S[2, Infinity]^2)/8 + 2*S[-1, 1, 1, 1, Infinity]) + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((17*S[5, Infinity])/32 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/80 + 
     (7*S[1, Infinity]^3*S[3, Infinity])/12 + (13*S[3, Infinity]^2)/24 + 
     S[-5, -1, Infinity]/2 - 2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((35*S[2, Infinity]*S[3, Infinity])/16 - 
       (31*S[5, Infinity])/16 - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((1153*S[2, Infinity]^3)/840 + (109*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity] + (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 2, -2, Infinity] -> -S[-1, Infinity]^7/63 + 
   (S[-1, Infinity]^6*S[1, Infinity])/18 - 
   (S[-1, Infinity]^5*S[1, Infinity]^2)/15 + S[-1, Infinity]^4*
    (S[1, Infinity]^3/36 - (S[1, Infinity]*S[2, Infinity])/6 + 
     (29*S[3, Infinity])/144) - (2459*S[2, Infinity]^2*S[3, Infinity])/1680 + 
   (10187*S[7, Infinity])/3584 - (43*S[-5, 1, 1, Infinity])/28 + 
   (5*S[5, -1, -1, Infinity])/7 + S[1, Infinity]^3*
    ((-17*S[2, Infinity]^2)/48 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/3 + 
     S[2, Infinity]^2/3 - (7*S[1, Infinity]*S[3, Infinity])/12 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-2123*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/2 - (73*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    (-(S[1, Infinity]^3*S[2, Infinity])/6 + 
     (7*S[1, Infinity]^2*S[3, Infinity])/8 + 
     (13*S[2, Infinity]*S[3, Infinity])/24 + S[1, Infinity]*
      (-S[2, Infinity]^2/2 - 2*S[-1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-4393*S[2, Infinity]^3)/1680 + (23*S[3, Infinity]^2)/32 - 
     (9*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    (-S[2, Infinity]^3/8 - (7*S[1, Infinity]^3*S[3, Infinity])/12 - 
     (649*S[3, Infinity]^2)/672 + (5*S[-5, -1, Infinity])/7 + 
     2*S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/4 - 
       (279*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 2, 2, Infinity] -> (7*S[1, Infinity]^3*S[2, Infinity]^2)/60 + 
   (61*S[2, Infinity]^2*S[3, Infinity])/30 + 
   S[1, Infinity]*((443*S[2, Infinity]^3)/420 - S[3, Infinity]^2) + 
   S[1, Infinity]^2*(S[2, Infinity]*S[3, Infinity] - (11*S[5, Infinity])/4) + 
   (5*S[2, Infinity]*S[5, Infinity])/4 - 11*S[7, Infinity], 
 S[1, -1, -1, -1, -3, Infinity] -> -S[-1, Infinity]^7/840 + 
   (S[-1, Infinity]^6*S[1, Infinity])/360 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 + (3*S[3, Infinity])/32) + 
   (22*S[2, Infinity]^2*S[3, Infinity])/7 + S[-1, Infinity]^3*
    (-S[2, Infinity]^2/6 - (S[1, Infinity]*S[3, Infinity])/8) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/10 + 
     (7*S[2, Infinity]*S[3, Infinity])/8 + (339*S[5, Infinity])/64) - 
   (7953*S[7, Infinity])/224 + S[-1, Infinity]*((59*S[2, Infinity]^3)/140 - 
     (17*S[3, Infinity]^2)/28 + S[1, Infinity]*
      ((-11*S[2, Infinity]*S[3, Infinity])/8 - (15*S[5, Infinity])/8) - 
     (5*S[-5, -1, Infinity])/7) - (5*S[-5, 1, 1, Infinity])/7 - 
   (73*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((891*S[5, Infinity])/56 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-123*S[2, Infinity]^3)/560 - (9*S[-5, -1, Infinity])/4 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, 3, Infinity] -> S[-1, Infinity]^7/840 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (369*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((39*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]*S[3, Infinity])/8) + S[1, Infinity]*
    ((-71*S[2, Infinity]^3)/112 + (11*S[3, Infinity]^2)/16) + 
   S[-1, Infinity]^2*((-19*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (S[2, Infinity]*S[3, Infinity])/8 + (91*S[5, Infinity])/64) + 
   (11267*S[7, Infinity])/1792 - (8*S[-5, 1, 1, Infinity])/7 - 
   (23*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((4135*S[5, Infinity])/896 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((1607*S[2, Infinity]^3)/560 - (85*S[3, Infinity]^2)/112 + 
     S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/8 - 
       (15*S[5, Infinity])/8) - (95*S[-5, -1, Infinity])/28 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, -3, Infinity] -> (53*S[-1, Infinity]^7)/2520 - 
   (S[-1, Infinity]^6*S[1, Infinity])/36 - 
   (3*S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    ((5*S[1, Infinity]*S[2, Infinity])/48 - (9*S[3, Infinity])/64) + 
   (75*S[2, Infinity]^2*S[3, Infinity])/64 + (9045*S[7, Infinity])/1024 + 
   S[-5, 1, 1, Infinity]/2 - S[5, -1, -1, Infinity]/4 + 
   S[-1, Infinity]^3*((67*S[2, Infinity]^2)/240 + 
     (S[1, Infinity]*S[3, Infinity])/6 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
     (61*S[5, Infinity])/32 + S[1, Infinity]*((-9*S[2, Infinity]^2)/80 + 
       S[-1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((17*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((395*S[2, Infinity]^3)/224 + (133*S[3, Infinity]^2)/128 - 
     (7*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((9*S[2, Infinity]*S[3, Infinity])/16 - 
       (151*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((8*S[2, Infinity]^3)/35 - (25*S[3, Infinity]^2)/64 - 
     S[-5, -1, Infinity]/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, 3, Infinity] -> (47*S[-1, Infinity]^7)/2520 - 
   (S[-1, Infinity]^6*S[1, Infinity])/40 + (S[-1, Infinity]^5*S[2, Infinity])/
    120 + (11*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (3393*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (14993*S[7, Infinity])/7168 + (31*S[-5, 1, 1, Infinity])/7 - 
   (9*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (-S[2, Infinity]^2/2 + (S[1, Infinity]*S[3, Infinity])/6 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((201*S[2, Infinity]^3)/280 + (163*S[3, Infinity]^2)/128 - 
     (5*S[-5, -1, Infinity])/2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-1537*S[2, Infinity]^3)/1120 - 
     (155*S[3, Infinity]^2)/28 + (31*S[-5, -1, Infinity])/7 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((3*S[2, Infinity]*S[3, Infinity])/8 - (151*S[5, Infinity])/64 - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((1385*S[5, Infinity])/896 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/8 + 
     (185*S[5, Infinity])/32 + S[1, Infinity]*((2*S[2, Infinity]^2)/5 + 
       S[-1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, -3, Infinity] -> 
  (-29*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/60 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 + (11*S[3, Infinity])/96) - 
   (933*S[2, Infinity]^2*S[3, Infinity])/448 + (22453*S[7, Infinity])/448 - 
   (25*S[-5, 1, 1, Infinity])/7 + (52*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((67*S[2, Infinity]^2)/240 - 
     (S[1, Infinity]*S[3, Infinity])/8 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/32 - 
     (435*S[5, Infinity])/32 + S[1, Infinity]*((-19*S[2, Infinity]^2)/80 - 
       S[-1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-17025*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-51*S[2, Infinity]^3)/112 - (5*S[3, Infinity]^2)/2 + 
     (17*S[-5, -1, Infinity])/4 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((21*S[2, Infinity]^3)/80 + (5589*S[3, Infinity]^2)/896 - 
     (65*S[-5, -1, Infinity])/28 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
       (47*S[5, Infinity])/8 + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, 3, Infinity] -> 
  -S[-1, Infinity]^7/72 + (7*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/8 + (5*S[3, Infinity])/48) - 
   (2883*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (346175*S[7, Infinity])/7168 - (43*S[-5, 1, 1, Infinity])/28 + 
   (153*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (-(S[1, Infinity]*S[3, Infinity])/8 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-2531*S[5, Infinity])/112 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/4 - (311*S[5, Infinity])/32 + 
     S[1, Infinity]*((3*S[2, Infinity]^2)/20 - S[-1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-207*S[2, Infinity]^3)/1120 + (215*S[3, Infinity]^2)/112 - 
     (43*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*(2*S[2, Infinity]*S[3, Infinity] + 
       (47*S[5, Infinity])/8 + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-2*S[2, Infinity]^3)/5 - (93*S[3, Infinity]^2)/128 + 
     (11*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, -3, Infinity] -> 
  S[-1, Infinity]^7/168 - (S[-1, Infinity]^6*S[1, Infinity])/120 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/6 - 
     (7*S[3, Infinity])/24) + (5*S[2, Infinity]^2*S[3, Infinity])/2 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/2 + (S[1, Infinity]*S[3, Infinity])/
      6) + (369*S[7, Infinity])/256 - (9*S[-5, 1, 1, Infinity])/2 + 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^2*((-17*S[1, Infinity]*S[2, Infinity]^2)/20 + 
     2*S[2, Infinity]*S[3, Infinity] - (39*S[5, Infinity])/8 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((51*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((66*S[2, Infinity]^3)/35 + (39*S[3, Infinity]^2)/8 - 
     (9*S[-5, -1, Infinity])/2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/2 + 
       (33*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-53*S[2, Infinity]^3)/35 - (3*S[3, Infinity]^2)/2 + 
     3*S[-5, -1, Infinity] - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, 3, Infinity] -> 
  S[-1, Infinity]^7/120 - (S[-1, Infinity]^6*S[1, Infinity])/90 - 
   (17*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (19*S[3, Infinity])/192) - (579*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^3*((97*S[2, Infinity]^2)/240 + 
     (S[1, Infinity]*S[3, Infinity])/6) + (271107*S[7, Infinity])/7168 - 
   (113*S[-5, 1, 1, Infinity])/28 + (125*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-9*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (3*S[2, Infinity]*S[3, Infinity])/32 - (35*S[5, Infinity])/4 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1551*S[5, Infinity])/112 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((-87*S[2, Infinity]^3)/140 - (19*S[3, Infinity]^2)/32 + 
     (7*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1061*S[2, Infinity]^3)/1120 + (759*S[3, Infinity]^2)/
      224 - (39*S[-5, -1, Infinity])/14 + S[1, Infinity]*
      ((33*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, -3, Infinity] -> 
  -S[-1, Infinity]^7/210 + (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    ((-5*S[1, Infinity]*S[2, Infinity])/48 - S[3, Infinity]/64) - 
   (235*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^3*((-59*S[2, Infinity]^2)/80 + 
     (S[1, Infinity]*S[3, Infinity])/4) + S[1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/16 - (15*S[5, Infinity])/16) + 
   (98855*S[7, Infinity])/7168 + (3*S[-5, 1, 1, Infinity])/7 + 
   (117*S[5, -1, -1, Infinity])/28 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-6073*S[5, Infinity])/448 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((49*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (3*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (27*S[2, Infinity]*S[3, Infinity])/32 - (93*S[5, Infinity])/16 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-19*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (4383*S[2, Infinity]^3)/
      1120 - (15*S[3, Infinity]^2)/224 + (31*S[-5, -1, Infinity])/7 + 
     S[1, Infinity]*((3*S[2, Infinity]*S[3, Infinity])/8 + 
       (279*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((1091*S[2, Infinity]^3)/560 + (25*S[3, Infinity]^2)/64 - 
     (7*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, 3, Infinity] -> 
  S[-1, Infinity]^7/840 - (S[-1, Infinity]^6*S[1, Infinity])/180 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/120 - S[2, Infinity]/15) + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/24 - 
     (11*S[3, Infinity])/32) + (123*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 + 
     (7*S[2, Infinity]^2)/20 + (S[1, Infinity]*S[3, Infinity])/4) + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/5 - 
     (3*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (9*S[2, Infinity]*S[3, Infinity])/8 - (527*S[5, Infinity])/128) + 
   (4407*S[7, Infinity])/448 + S[-1, Infinity]*
    (-(S[1, Infinity]^2*S[2, Infinity]^2)/10 + (97*S[2, Infinity]^3)/80 + 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (465*S[3, Infinity]^2)/112 - (93*S[-5, -1, Infinity])/28) - 
   (93*S[-5, 1, 1, Infinity])/28 + (13*S[5, -1, -1, Infinity])/14 + 
   6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/16 + 
     ((159*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-261*S[5, Infinity])/224 + 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-199*S[2, Infinity]^3)/280 + (55*S[3, Infinity]^2)/64 + 
     (9*S[-5, -1, Infinity])/4 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, -3, Infinity] -> (-31*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^6*S[1, Infinity])/30 + S[-1, Infinity]^5*
    (-S[1, Infinity]^2/40 - S[2, Infinity]/60) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 + 
     S[3, Infinity]/24) + (11*S[2, Infinity]^2*S[3, Infinity])/8 - 
   (1647*S[7, Infinity])/256 - S[-5, 1, 1, Infinity]/2 + 
   S[-1, Infinity]^2*((S[1, Infinity]^2*S[3, Infinity])/4 + 
     (11*S[2, Infinity]*S[3, Infinity])/8 - (31*S[5, Infinity])/64 + 
     S[1, Infinity]*((-7*S[2, Infinity]^2)/20 - S[-1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/12 + 
     (13*S[2, Infinity]^2)/30 - (S[1, Infinity]*S[3, Infinity])/3 + 
     S[-1, 1, 1, 1, Infinity]/3) + 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((41*S[2, Infinity]^3)/140 - 
     (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (11*S[3, Infinity]^2)/8 - S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (S[1, Infinity]^2*(-S[2, Infinity]^2/5 + 2*S[-1, 1, 1, 1, Infinity]))/
      2) + S[1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/16 + 
     ((-153*S[5, Infinity])/32 - 4*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((23*S[5, Infinity])/16 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((13*S[2, Infinity]^3)/35 - S[3, Infinity]^2/8 - 
     (3*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, 3, Infinity] -> (-23*S[-1, Infinity]^7)/1260 + 
   (17*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/30 + (7*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*((-7*S[1, Infinity]*S[2, Infinity])/24 + 
     (11*S[3, Infinity])/96) + (2*S[2, Infinity]^2*S[3, Infinity])/5 - 
   (10271*S[7, Infinity])/1024 - S[-5, 1, 1, Infinity]/4 - 
   S[5, -1, -1, Infinity]/4 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/6 - (127*S[2, Infinity]^2)/240 - 
     (S[1, Infinity]*S[3, Infinity])/3 + S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 + 
     ((-151*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-303*S[5, Infinity])/128 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((S[1, Infinity]^2*S[3, Infinity])/4 + (S[2, Infinity]*S[3, Infinity])/
      16 + (155*S[5, Infinity])/128 + S[1, Infinity]*
      ((11*S[2, Infinity]^2)/10 - S[-1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-2573*S[2, Infinity]^3)/1120 - (147*S[3, Infinity]^2)/128 + 
     (15*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (S[1, Infinity]^2*((-19*S[2, Infinity]^2)/40 + 
        2*S[-1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]*
      ((S[2, Infinity]*S[3, Infinity])/2 - (155*S[5, Infinity])/64 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((31*S[2, Infinity]^3)/28 + (267*S[3, Infinity]^2)/128 - 
     (11*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, -3, Infinity] -> -S[-1, Infinity]^7/2520 + 
   (S[-1, Infinity]^6*S[1, Infinity])/360 + S[-1, Infinity]^5*
    (-S[1, Infinity]^2/120 + S[2, Infinity]/40) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/72 - (S[1, Infinity]*S[2, Infinity])/
      8 + (65*S[3, Infinity])/288) - (S[2, Infinity]^2*S[3, Infinity])/60 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/12 - 
     (3*S[2, Infinity]^2)/20 - (S[1, Infinity]*S[3, Infinity])/8) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/12 + 
     (9*S[1, Infinity]*S[2, Infinity]^2)/20 + 
     (3*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (47*S[2, Infinity]*S[3, Infinity])/48 + (31*S[5, Infinity])/16) - 
   (501*S[7, Infinity])/128 + S[-1, Infinity]*
    ((S[1, Infinity]^2*S[2, Infinity]^2)/20 - (31*S[2, Infinity]^3)/35 - 
     (S[1, Infinity]^3*S[3, Infinity])/8 - 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (11*S[3, Infinity]^2)/4 + 2*S[-5, -1, Infinity]) + 
   2*S[-5, 1, 1, Infinity] + (S[1, Infinity]^3*(-S[2, Infinity]^2/10 - 
      S[-1, 1, 1, 1, Infinity]))/3 - 
   (14*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-29*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 - 
     (15*S[5, Infinity])/16 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((93*S[2, Infinity]^3)/140 - S[3, Infinity]^2/2 - 
     2*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, 3, Infinity] -> (19*S[-1, Infinity]^7)/2520 - 
   (S[-1, Infinity]^6*S[1, Infinity])/40 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/40 - S[2, Infinity]/80) - 
   (19*S[1, Infinity]^3*S[2, Infinity]^2)/240 + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/48 + 
     S[3, Infinity]/64) + (61*S[2, Infinity]^2*S[3, Infinity])/240 - 
   (3437*S[7, Infinity])/512 - (5*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 + 
     (59*S[2, Infinity]^2)/240 - (S[1, Infinity]*S[3, Infinity])/8 - 
     S[-1, 1, 1, 1, Infinity]/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-691*S[2, Infinity]^3)/560 + (101*S[3, Infinity]^2)/128 - 
     (3*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((3*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (9*S[2, Infinity]*S[3, Infinity])/32 + (403*S[5, Infinity])/64 + 
     S[1, Infinity]*((-79*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((-13*S[2, Infinity]*S[3, Infinity])/32 + (47*S[5, Infinity])/16 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((83*S[5, Infinity])/8 + (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((145*S[2, Infinity]^3)/56 - 
     (S[1, Infinity]^3*S[3, Infinity])/8 - (197*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity]/2 + S[1, Infinity]^2*((49*S[2, Infinity]^2)/80 - 
       S[-1, 1, 1, 1, Infinity]) - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
       (31*S[5, Infinity])/4 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, -3, Infinity] -> S[-1, Infinity]^7/126 - 
   (S[-1, Infinity]^6*S[1, Infinity])/36 + 
   (S[-1, Infinity]^5*S[1, Infinity]^2)/30 + S[-1, Infinity]^4*
    (-S[1, Infinity]^3/72 + (S[1, Infinity]*S[2, Infinity])/12 - 
     (29*S[3, Infinity])/288) - (S[1, Infinity]^4*S[3, Infinity])/32 + 
   (57*S[2, Infinity]^2*S[3, Infinity])/160 + (389*S[7, Infinity])/256 + 
   S[-5, 1, 1, Infinity]/2 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/6 - S[2, Infinity]^2/6 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/3) + 
   S[1, Infinity]^3*(S[2, Infinity]^2/8 + S[-1, 1, 1, 1, Infinity]/3) + 
   (2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 + 
     (33*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((33*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/12 - 
     (7*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (13*S[2, Infinity]*S[3, Infinity])/48 + S[1, Infinity]*
      (S[2, Infinity]^2/4 + S[-1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((7*S[1, Infinity]^3*S[3, Infinity])/24 + (7*S[3, Infinity]^2)/12 - 
     S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((7*S[2, Infinity]*S[3, Infinity])/8 + (31*S[5, Infinity])/32 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((257*S[2, Infinity]^3)/280 - (3*S[3, Infinity]^2)/8 + 
     S[-5, -1, Infinity]/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 3, Infinity] -> -(S[1, Infinity]^3*S[2, Infinity]^2)/60 + 
   (S[1, Infinity]^4*S[3, Infinity])/24 - 
   (17*S[2, Infinity]^2*S[3, Infinity])/24 + 
   S[1, Infinity]*((-31*S[2, Infinity]^3)/140 + (5*S[3, Infinity]^2)/6) + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 + S[5, Infinity]) + 
   3*S[7, Infinity], S[1, -2, -1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/210 + (S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/12 - 
     (65*S[3, Infinity])/192) - (131*S[2, Infinity]^2*S[3, Infinity])/224 - 
   (7635*S[2, Infinity]*S[5, Infinity])/896 + (97641*S[7, Infinity])/7168 + 
   (15*S[-5, 1, 1, Infinity])/7 + (81*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-121*S[2, Infinity]^2)/120 + 
     (7*S[1, Infinity]*S[3, Infinity])/16 - S[-1, 1, 1, 1, Infinity]/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((11*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (5*S[2, Infinity]*S[3, Infinity])/4 - (93*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-2517*S[2, Infinity]^3)/1120 - (19*S[3, Infinity]^2)/28 + 
     (123*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((33*S[2, Infinity]*S[3, Infinity])/16 + 
       (93*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((20*S[2, Infinity]^3)/7 + (41*S[3, Infinity]^2)/32 - 
     4*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, -1, -1, 1, Infinity] -> 
  (47*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^6*S[1, Infinity])/80 - 
   (17*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/4 - 
     (49*S[3, Infinity])/192) - (4943*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (3979*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((93*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[2, Infinity]*S[3, Infinity])/4 + (279*S[5, Infinity])/128) + 
   (84465*S[7, Infinity])/7168 + (53*S[-5, 1, 1, Infinity])/14 + 
   (43*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-73*S[2, Infinity]^2)/120 + (7*S[1, Infinity]*S[3, Infinity])/16 - 
     S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-1163*S[2, Infinity]^3)/1120 + 
     (27*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (265*S[3, Infinity]^2)/56 + (53*S[-5, -1, Infinity])/14 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((447*S[2, Infinity]^3)/560 + (105*S[3, Infinity]^2)/32 - 
     (7*S[-5, -1, Infinity])/4 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, -1, 1, -1, Infinity] -> 
  (-53*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^6*S[1, Infinity])/24 - 
   (S[-1, Infinity]^5*S[2, Infinity])/12 + S[-1, Infinity]^4*
    ((-3*S[1, Infinity]*S[2, Infinity])/8 - (31*S[3, Infinity])/96) - 
   (3111*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (38831*S[7, Infinity])/1792 - S[-5, 1, 1, Infinity]/14 + 
   (27*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-31*S[2, Infinity]^2)/80 + (7*S[1, Infinity]*S[3, Infinity])/16 + 
     (5*S[-1, 1, 1, 1, Infinity])/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-23*S[2, Infinity]^3)/560 + 
     (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (5*S[3, Infinity]^2)/56 - S[-5, -1, Infinity]/14 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-2585*S[5, Infinity])/224 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((41*S[2, Infinity]*S[3, Infinity])/32 - (31*S[5, Infinity])/4 + 
     S[1, Infinity]*((279*S[2, Infinity]^2)/80 - (3*S[-1, 1, 1, 1, Infinity])/
        2) - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((1501*S[2, Infinity]^3)/560 + (243*S[3, Infinity]^2)/64 - 
     (15*S[-5, -1, Infinity])/2 + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     15*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, -1, 1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^7)/2520 + (11*S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + S[-1, Infinity]^4*
    ((-19*S[1, Infinity]*S[2, Infinity])/48 - (67*S[3, Infinity])/192) - 
   (1299*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (118005*S[7, Infinity])/7168 - (27*S[-5, 1, 1, Infinity])/14 + 
   (79*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-31*S[2, Infinity]^2)/48 + (7*S[1, Infinity]*S[3, Infinity])/16 + 
     (5*S[-1, 1, 1, 1, Infinity])/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((23*S[2, Infinity]*S[3, Infinity])/16 - 
     (899*S[5, Infinity])/64 + S[1, Infinity]*((251*S[2, Infinity]^2)/80 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-2351*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-201*S[2, Infinity]^3)/1120 + (219*S[3, Infinity]^2)/56 - 
     (17*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((465*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((261*S[2, Infinity]^3)/80 + (147*S[3, Infinity]^2)/64 - 
     7*S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     18*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/1008 + (S[-1, Infinity]^6*S[1, Infinity])/120 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + S[-1, Infinity]^4*
    ((13*S[1, Infinity]*S[2, Infinity])/48 - (7*S[3, Infinity])/192) - 
   (811*S[2, Infinity]^2*S[3, Infinity])/560 + (369489*S[7, Infinity])/7168 - 
   (71*S[-5, 1, 1, Infinity])/14 + (173*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((139*S[2, Infinity]^2)/120 + S[-1, 1, 1, 1, Infinity]/
      3) + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((837*S[2, Infinity]^3)/1120 + (355*S[3, Infinity]^2)/56 - 
     (71*S[-5, -1, Infinity])/14 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-2479*S[5, Infinity])/112 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/32 - (465*S[5, Infinity])/32 + 
     S[1, Infinity]*((63*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]/2) - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((143*S[2, Infinity]^3)/140 + (45*S[3, Infinity]^2)/32 - 
     (15*S[-5, -1, Infinity])/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/360 - (S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    ((11*S[1, Infinity]*S[2, Infinity])/48 + S[3, Infinity]/192) - 
   (1387*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (54885*S[7, Infinity])/3584 - (45*S[-5, 1, 1, Infinity])/14 + 
   (30*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((37*S[2, Infinity]^2)/30 + S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((129*S[2, Infinity]^3)/560 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 - 
     (1767*S[5, Infinity])/128 + S[1, Infinity]*((13*S[2, Infinity]^2)/16 - 
       S[-1, 1, 1, 1, Infinity]/2) - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-8235*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-153*S[2, Infinity]^3)/140 + (1215*S[3, Infinity]^2)/224 - 
     (195*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/16 + 
       (93*S[5, Infinity])/16 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, -2, -1, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/2520 - (S[-1, Infinity]^6*S[1, Infinity])/180 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/12 - 
   (53*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (199*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (3889*S[2, Infinity]*S[5, Infinity])/896 - (58691*S[7, Infinity])/7168 + 
   (3*S[-5, 1, 1, Infinity])/14 + (41*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((-21*S[1, Infinity]*S[2, Infinity]^2)/16 - 
     (465*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((18*S[2, Infinity]^3)/35 - (107*S[3, Infinity]^2)/64 + 
     (19*S[-5, -1, Infinity])/4 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-531*S[2, Infinity]^3)/224 + (643*S[3, Infinity]^2)/
      448 - (16*S[-5, -1, Infinity])/7 + S[1, Infinity]*
      ((21*S[2, Infinity]*S[3, Infinity])/16 + (155*S[5, Infinity])/32 + 
       S[-1, 1, 1, 1, 1, Infinity]) + 5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/5040 - (S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (43*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (7*S[3, Infinity])/192) - (709*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-39*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[2, Infinity]*S[3, Infinity])/32 - (465*S[5, Infinity])/128) - 
   (5087*S[2, Infinity]*S[5, Infinity])/896 + (136197*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((2381*S[2, Infinity]^3)/1120 + (65*S[3, Infinity]^2)/28 - 
     (13*S[-5, -1, Infinity])/7) - (13*S[-5, 1, 1, Infinity])/7 + 
   (53*S[5, -1, -1, Infinity])/28 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((-2*S[2, Infinity]^3)/35 + S[3, Infinity]^2/32 + 
     (9*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, 1, 1, 
    Infinity], S[1, -2, 1, -1, -1, -1, Infinity] -> 
  (17*S[-1, Infinity]^7)/720 - (11*S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (11*S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/16 + 
   (1629*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (16145*S[7, Infinity])/7168 - (41*S[-5, 1, 1, Infinity])/28 + 
   S[5, -1, -1, Infinity]/28 + S[-1, Infinity]^3*((37*S[2, Infinity]^2)/80 - 
     S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1019*S[2, Infinity]^3)/1120 - (69*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (205*S[3, Infinity]^2)/112 - 
     (41*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((2251*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((155*S[5, Infinity])/128 + S[1, Infinity]*((-21*S[2, Infinity]^2)/10 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-92*S[2, Infinity]^3)/35 - (321*S[3, Infinity]^2)/128 + 
     (9*S[-5, -1, Infinity])/2 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 1, -1, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^7)/840 - (7*S[-1, Infinity]^6*S[1, Infinity])/120 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    ((5*S[1, Infinity]*S[2, Infinity])/8 - S[3, Infinity]/64) + 
   (2703*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (221583*S[7, Infinity])/7168 + (87*S[-5, 1, 1, Infinity])/28 - 
   (123*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((209*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((9385*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/32 + (775*S[5, Infinity])/64 + 
     S[1, Infinity]*((-219*S[2, Infinity]^2)/80 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((-491*S[2, Infinity]^3)/140 - (501*S[3, Infinity]^2)/128 + 
     (33*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 21*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1019*S[2, Infinity]^3)/1120 - (555*S[3, Infinity]^2)/
      224 - (9*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-279*S[5, Infinity])/64 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 1, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/2520 + (S[-1, Infinity]^6*S[1, Infinity])/144 + 
   (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (4167*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (17517*S[2, Infinity]*S[5, Infinity])/896 - (306225*S[7, Infinity])/7168 + 
   (33*S[-5, 1, 1, Infinity])/7 - (183*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((-123*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (713*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((-8*S[2, Infinity]^3)/5 - (211*S[3, Infinity]^2)/128 + 
     (17*S[-5, -1, Infinity])/4 - 11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1173*S[2, Infinity]^3)/1120 - (2101*S[3, Infinity]^2)/
      448 + (17*S[-5, -1, Infinity])/14 + S[1, Infinity]*
      ((-3*S[2, Infinity]*S[3, Infinity])/16 - (31*S[5, Infinity])/64 + 
       S[-1, 1, 1, 1, 1, Infinity]) + 5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/1680 + (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/16 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
   (2699*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (215*S[2, Infinity]*S[5, Infinity])/28 + S[-1, Infinity]^2*
    ((-27*S[1, Infinity]*S[2, Infinity]^2)/80 + (31*S[5, Infinity])/8) - 
   (44299*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((179*S[2, Infinity]^3)/280 - (3*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/2 - (25*S[3, Infinity]^2)/14 + 
     (10*S[-5, -1, Infinity])/7) + (10*S[-5, 1, 1, Infinity])/7 - 
   (18*S[5, -1, -1, Infinity])/7 + S[1, Infinity]*
    ((-247*S[2, Infinity]^3)/280 - (57*S[3, Infinity]^2)/128 + 
     (3*S[-5, -1, Infinity])/4 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/360 + (7*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (S[-1, Infinity]^5*S[2, Infinity])/80 + S[-1, Infinity]^4*
    ((-13*S[1, Infinity]*S[2, Infinity])/48 - (23*S[3, Infinity])/192) - 
   (1037*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (3191*S[2, Infinity]*S[5, Infinity])/448 + (134615*S[7, Infinity])/7168 - 
   (17*S[-5, 1, 1, Infinity])/28 + (67*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-29*S[2, Infinity]^2)/80 + 
     (7*S[1, Infinity]*S[3, Infinity])/48 - S[-1, 1, 1, 1, Infinity]/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((11*S[1, Infinity]*S[2, Infinity]^2)/16 - 
     (3*S[2, Infinity]*S[3, Infinity])/8 - (217*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-701*S[2, Infinity]^3)/1120 + (177*S[3, Infinity]^2)/224 + 
     (23*S[-5, -1, Infinity])/14 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/16 + 
       (31*S[5, Infinity])/32 - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((481*S[2, Infinity]^3)/280 + (177*S[3, Infinity]^2)/128 - 
     (13*S[-5, -1, Infinity])/4 + 11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -2, 1, 1, -1, 1, Infinity] -> 
  (37*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^6*S[1, Infinity])/180 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/6 - 
   (6233*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((17*S[1, Infinity]*S[2, Infinity]^2)/20 - 
     (35*S[2, Infinity]*S[3, Infinity])/32 - (31*S[5, Infinity])/128) - 
   (5083*S[2, Infinity]*S[5, Infinity])/896 + (50201*S[7, Infinity])/3584 + 
   (47*S[-5, 1, 1, Infinity])/28 + (27*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/80 + 
     (7*S[1, Infinity]*S[3, Infinity])/48 - S[-1, 1, 1, 1, Infinity]/6) - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-85*S[2, Infinity]^3)/112 + 
     (31*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (235*S[3, Infinity]^2)/112 + (47*S[-5, -1, Infinity])/28 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((293*S[2, Infinity]^3)/280 + (181*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -2, 1, 1, 1, -1, Infinity] -> (13*S[-1, Infinity]^7)/1008 - 
   (13*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/8 - 
     (13*S[3, Infinity])/192) - (67*S[2, Infinity]^2*S[3, Infinity])/160 - 
   (155*S[7, Infinity])/256 + S[-1, Infinity]*((-23*S[2, Infinity]^3)/140 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (5*S[3, Infinity]^2)/8 + S[-5, -1, Infinity]/2) + 
   S[-5, 1, 1, Infinity]/2 + S[-1, Infinity]^3*((11*S[2, Infinity]^2)/120 + 
     (7*S[1, Infinity]*S[3, Infinity])/48 - S[-1, 1, 1, 1, Infinity]/2) - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*(S[5, Infinity]/2 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/16 + 
     (31*S[5, Infinity])/32 + S[1, Infinity]*(S[2, Infinity]^2/10 + 
       S[-1, 1, 1, 1, Infinity]/2) + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-6*S[2, Infinity]^3)/35 - (17*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity]/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -2, 1, 1, 1, 1, Infinity] -> S[-1, Infinity]^7/84 - 
   (S[-1, Infinity]^6*S[1, Infinity])/72 - (S[-1, Infinity]^5*S[2, Infinity])/
    12 + S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (29*S[3, Infinity])/192) + (67*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (349*S[7, Infinity])/256 - S[-5, 1, 1, Infinity]/2 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/6 + (7*S[1, Infinity]*S[3, Infinity])/
      48 - S[-1, 1, 1, 1, Infinity]/2) + S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[5, Infinity]/2 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((11*S[2, Infinity]*S[3, Infinity])/16 + S[1, Infinity]*
      (-S[2, Infinity]^2/8 + S[-1, 1, 1, 1, Infinity]/2) + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((7*S[3, Infinity]^2)/8 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/16 - 
       S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-49*S[3, Infinity]^2)/128 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 2, -1, -1, -1, -1, Infinity] -> (29*S[-1, Infinity]^7)/1260 - 
   (2*S[-1, Infinity]^6*S[1, Infinity])/45 + 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + S[-1, Infinity]^4*
    ((13*S[1, Infinity]*S[2, Infinity])/24 + (35*S[3, Infinity])/192) - 
   (519*S[2, Infinity]^2*S[3, Infinity])/560 + (93141*S[7, Infinity])/7168 - 
   (5*S[-5, 1, 1, Infinity])/28 + (37*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((27*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]) - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((1691*S[2, Infinity]^3)/1120 - 
     (3*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
     (3*S[3, Infinity]^2)/14 - (5*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-229*S[5, Infinity])/224 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/32 + (93*S[5, Infinity])/64 + 
     S[1, Infinity]*(-S[2, Infinity]^2 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-659*S[2, Infinity]^3)/560 - (121*S[3, Infinity]^2)/64 + 
     (19*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 13*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, -1, -1, 1, Infinity] -> 
  (3*S[-1, Infinity]^7)/112 - (41*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (5*S[-1, Infinity]^5*S[2, Infinity])/48 + S[-1, Infinity]^4*
    ((2*S[1, Infinity]*S[2, Infinity])/3 + (11*S[3, Infinity])/192) + 
   (59*S[2, Infinity]^2*S[3, Infinity])/70 - (207939*S[7, Infinity])/7168 + 
   (99*S[-5, 1, 1, Infinity])/28 - (153*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((13*S[2, Infinity]^2)/12 - S[-1, 1, 1, 1, Infinity]) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((6015*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((17*S[2, Infinity]*S[3, Infinity])/32 + (1581*S[5, Infinity])/128 + 
     S[1, Infinity]*((-221*S[2, Infinity]^2)/80 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((-134*S[2, Infinity]^3)/35 - (247*S[3, Infinity]^2)/64 + 
     10*S[-5, -1, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     22*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((2153*S[2, Infinity]^3)/1120 - (647*S[3, Infinity]^2)/224 - 
     (12*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
       (93*S[5, Infinity])/64 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 2, -1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/1008 + 
   (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (43*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/24 - 
     (7*S[3, Infinity])/192) + (891*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (11667*S[2, Infinity]*S[5, Infinity])/448 - (200247*S[7, Infinity])/3584 - 
   (9*S[-5, 1, 1, Infinity])/7 - (123*S[5, -1, -1, Infinity])/14 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-43*S[1, Infinity]*S[2, Infinity]^2)/16 + 
     (35*S[2, Infinity]*S[3, Infinity])/32 + (1395*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]*
    ((-149*S[2, Infinity]^3)/35 - (39*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/4 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((121*S[2, Infinity]^3)/112 - (163*S[3, Infinity]^2)/112 - 
     (9*S[-5, -1, Infinity])/7 + S[1, Infinity]*
      ((-63*S[2, Infinity]*S[3, Infinity])/16 - (465*S[5, Infinity])/64 + 
       S[-1, 1, 1, 1, 1, Infinity]) + 5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/840 + (7*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/48 + 
     (7*S[3, Infinity])/96) + (2949*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (11667*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-29*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[2, Infinity]*S[3, Infinity])/16 + (465*S[5, Infinity])/128) - 
   (254007*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((669*S[2, Infinity]^3)/1120 - (21*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (163*S[3, Infinity]^2)/224 - 
     (9*S[-5, -1, Infinity])/14) - (9*S[-5, 1, 1, Infinity])/14 - 
   (123*S[5, -1, -1, Infinity])/28 + S[1, Infinity]*
    ((-6*S[2, Infinity]^3)/35 - (137*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/4 - 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, 1, -1, -1, Infinity] -> 
  (-25*S[-1, Infinity]^7)/1008 + (S[-1, Infinity]^6*S[1, Infinity])/60 + 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    ((-5*S[1, Infinity]*S[2, Infinity])/16 + (83*S[3, Infinity])/192) - 
   (43*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (219*S[2, Infinity]*S[5, Infinity])/32 + (15453*S[7, Infinity])/1024 - 
   (21*S[-5, 1, 1, Infinity])/4 + (9*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/20 - 
     (7*S[1, Infinity]*S[3, Infinity])/16 + S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (11*S[2, Infinity]*S[3, Infinity])/16 - (279*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-133*S[2, Infinity]^3)/160 + (121*S[3, Infinity]^2)/64 + 
     S[-5, -1, Infinity]/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-21*S[2, Infinity]*S[3, Infinity])/16 - 
       (93*S[5, Infinity])/16 - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-11*S[2, Infinity]^3)/80 + (165*S[3, Infinity]^2)/64 - 
     6*S[-5, -1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, 1, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/840 + (S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    ((-7*S[1, Infinity]*S[2, Infinity])/48 + (35*S[3, Infinity])/192) + 
   (7369*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-47*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (35*S[2, Infinity]*S[3, Infinity])/16 - (155*S[5, Infinity])/128) + 
   (7673*S[2, Infinity]*S[5, Infinity])/896 - (63401*S[7, Infinity])/1792 - 
   (117*S[-5, 1, 1, Infinity])/28 - (41*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/4 - 
     (7*S[1, Infinity]*S[3, Infinity])/16 + S[-1, 1, 1, 1, Infinity]/2) + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-39*S[2, Infinity]^3)/280 - 
     (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (1219*S[3, Infinity]^2)/224 - (117*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((113*S[2, Infinity]^3)/140 - (37*S[3, Infinity]^2)/16 - 
     S[-5, -1, Infinity]/4 - S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, -1, 1, 1, -1, Infinity] -> 
  (-37*S[-1, Infinity]^7)/2520 - (S[-1, Infinity]^6*S[1, Infinity])/90 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/16 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/12 + (27*S[3, Infinity])/64) + 
   (1037*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (82703*S[7, Infinity])/7168 + (19*S[-5, 1, 1, Infinity])/14 - 
   (25*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-47*S[2, Infinity]^2)/240 - (7*S[1, Infinity]*S[3, Infinity])/16 + 
     S[-1, 1, 1, 1, Infinity]/6) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*((-103*S[2, Infinity]^3)/1120 - 
     (95*S[3, Infinity]^2)/56 + (19*S[-5, -1, Infinity])/14 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2617*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/8 + 
     (341*S[5, Infinity])/64 + S[1, Infinity]*((-77*S[2, Infinity]^2)/80 + 
       S[-1, 1, 1, 1, Infinity]/2) + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-45*S[2, Infinity]^3)/112 - (31*S[3, Infinity]^2)/16 + 
     4*S[-5, -1, Infinity] + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 2, -1, 1, 1, 1, Infinity] -> (-79*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^6*S[1, Infinity])/144 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/48 + 
     (13*S[3, Infinity])/24) - (6149*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (158131*S[7, Infinity])/7168 + (13*S[-5, 1, 1, Infinity])/14 + 
   (61*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-29*S[2, Infinity]^2)/240 - (7*S[1, Infinity]*S[3, Infinity])/16 + 
     S[-1, 1, 1, 1, Infinity]/6) - 
   (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-4295*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((-83*S[2, Infinity]*S[3, Infinity])/
      32 + (279*S[5, Infinity])/64 + S[1, Infinity]*
      ((-13*S[2, Infinity]^2)/16 + S[-1, 1, 1, 1, Infinity]/2) + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((-559*S[2, Infinity]^3)/560 + S[3, Infinity]^2/2 + S[-5, -1, Infinity] + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-521*S[2, Infinity]^3)/1120 - (403*S[3, Infinity]^2)/112 + 
     (55*S[-5, -1, Infinity])/14 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((21*S[2, Infinity]*S[3, Infinity])/16 - 
       (155*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 2, 1, -1, -1, -1, Infinity] -> (-113*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^6*S[1, Infinity])/80 + (S[-1, Infinity]^5*S[2, Infinity])/
    60 + S[-1, Infinity]^4*((-11*S[1, Infinity]*S[2, Infinity])/16 + 
     S[3, Infinity]/4) - (681*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (3603*S[2, Infinity]*S[5, Infinity])/896 + (28299*S[7, Infinity])/7168 + 
   (51*S[-5, 1, 1, Infinity])/14 + (39*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-11*S[2, Infinity]^2)/16 - 
     (7*S[1, Infinity]*S[3, Infinity])/48 + S[-1, 1, 1, 1, Infinity]/2) - 
   (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((6*S[1, Infinity]*S[2, Infinity]^2)/5 - 
     (13*S[2, Infinity]*S[3, Infinity])/32 + (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((-2897*S[2, Infinity]^3)/1120 - 
     (1431*S[3, Infinity]^2)/448 + (123*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((31*S[2, Infinity]*S[3, Infinity])/8 + 
       (279*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((23*S[2, Infinity]^3)/7 + (25*S[3, Infinity]^2)/32 - 
     (3*S[-5, -1, Infinity])/2 + (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/56 - (S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/3 - 
     (7*S[3, Infinity])/64) + (597*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (11667*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-11*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[2, Infinity]*S[3, Infinity])/4 + (465*S[5, Infinity])/128) - 
   (254007*S[7, Infinity])/7168 - (9*S[-5, 1, 1, Infinity])/14 - 
   (123*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-23*S[2, Infinity]^2)/80 - (7*S[1, Infinity]*S[3, Infinity])/48 + 
     S[-1, 1, 1, 1, Infinity]/2) + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-135*S[2, Infinity]^3)/224 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (45*S[3, Infinity]^2)/56 - (9*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((6*S[2, Infinity]^3)/35 + (137*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/4 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, -1, 1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^7)/504 + (37*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (37*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((-13*S[1, Infinity]*S[2, Infinity])/48 - 
     S[3, Infinity]/64) + (4489*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (146261*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((383*S[2, Infinity]^3)/224 + (5*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (85*S[3, Infinity]^2)/56 + 
     (17*S[-5, -1, Infinity])/14) + (17*S[-5, 1, 1, Infinity])/14 - 
   (99*S[5, -1, -1, Infinity])/28 + 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^3*((-16*S[2, Infinity]^2)/15 - 
     (7*S[1, Infinity]*S[3, Infinity])/48 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((2197*S[5, Infinity])/224 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/16 + (31*S[5, Infinity])/8 + 
     S[1, Infinity]*((17*S[2, Infinity]^2)/16 - (3*S[-1, 1, 1, 1, Infinity])/
        2) - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((55*S[2, Infinity]^3)/56 + (37*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, 
    Infinity], S[1, 2, 1, -1, 1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^7)/336 + (S[-1, Infinity]^6*S[1, Infinity])/18 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   S[-1, Infinity]^4*((-23*S[1, Infinity]*S[2, Infinity])/48 + 
     (15*S[3, Infinity])/64) - (1733*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (86271*S[7, Infinity])/3584 + (15*S[-5, 1, 1, Infinity])/14 + 
   (18*S[5, -1, -1, Infinity])/7 - 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^3*((-53*S[2, Infinity]^2)/40 - 
     (7*S[1, Infinity]*S[3, Infinity])/48 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-19*S[2, Infinity]*S[3, Infinity])/16 - 
     (155*S[5, Infinity])/64 + S[1, Infinity]*((147*S[2, Infinity]^2)/80 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-6159*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((369*S[2, Infinity]^3)/560 - (227*S[3, Infinity]^2)/112 + 
     (57*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((31*S[2, Infinity]*S[3, Infinity])/16 + (31*S[5, Infinity])/64 - 
       S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((25*S[2, Infinity]^3)/14 + (81*S[3, Infinity]^2)/64 - 
     (17*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/840 + (S[-1, Infinity]^6*S[1, Infinity])/80 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + S[-1, Infinity]^4*
    ((13*S[1, Infinity]*S[2, Infinity])/48 - (7*S[3, Infinity])/192) + 
   (467*S[2, Infinity]^2*S[3, Infinity])/560 + (136197*S[7, Infinity])/7168 - 
   (13*S[-5, 1, 1, Infinity])/7 + (53*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((47*S[2, Infinity]^2)/48 + S[-1, 1, 1, 1, Infinity]/
      3) + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((745*S[2, Infinity]^3)/224 + (65*S[3, Infinity]^2)/28 - 
     (13*S[-5, -1, Infinity])/7 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-5087*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/32 - (465*S[5, Infinity])/128 + 
     S[1, Infinity]*((27*S[2, Infinity]^2)/16 - S[-1, 1, 1, 1, Infinity]/2) - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((44*S[2, Infinity]^3)/35 - S[3, Infinity]^2/32 - 
     (9*S[-5, -1, Infinity])/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   20*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, 1, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^5*S[2, Infinity])/80 + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/24 - 
     S[3, Infinity]/32) - (59*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (44573*S[7, Infinity])/3584 - (18*S[-5, 1, 1, Infinity])/7 + 
   (13*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((253*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/16 - 
     (93*S[5, Infinity])/32 + S[1, Infinity]*((11*S[2, Infinity]^2)/20 - 
       S[-1, 1, 1, 1, Infinity]/2) - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-1271*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-71*S[2, Infinity]^3)/35 + (3*S[3, Infinity]^2)/4 - 
     2*S[-5, -1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((741*S[2, Infinity]^3)/560 + (545*S[3, Infinity]^2)/224 - 
     (79*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/2 - 
       (31*S[5, Infinity])/32 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 2, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^7/5040 - 
   (S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 15*S[7, Infinity] + 
   S[-1, Infinity]^2*((-6*S[1, Infinity]*S[2, Infinity]^2)/5 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]*
    ((-8*S[2, Infinity]^3)/7 - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-32*S[2, Infinity]^3)/7 + S[1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 2, 1, 1, 1, 1, Infinity] -> 
  (8*S[1, Infinity]*S[2, Infinity]^3)/7 - 15*S[7, Infinity], 
 S[1, -1, -2, -1, -1, -1, Infinity] -> (7*S[-1, Infinity]^7)/720 - 
   (S[-1, Infinity]^6*S[1, Infinity])/40 - 
   (3*S[-1, Infinity]^5*S[2, Infinity])/8 + S[-1, Infinity]^4*
    ((11*S[1, Infinity]*S[2, Infinity])/12 - (61*S[3, Infinity])/192) - 
   (10671*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (91331*S[2, Infinity]*S[5, Infinity])/896 + (1917295*S[7, Infinity])/
    7168 - (303*S[-5, 1, 1, Infinity])/14 + (955*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((1097*S[2, Infinity]^2)/240 + 
     (7*S[1, Infinity]*S[3, Infinity])/16 + S[-1, 1, 1, 1, Infinity]/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-161*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (19*S[2, Infinity]*S[3, Infinity])/16 - (3879*S[5, Infinity])/64 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-186*S[2, Infinity]^3)/35 - (333*S[3, Infinity]^2)/32 + 
     26*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((7997*S[2, Infinity]^3)/1120 + (13863*S[3, Infinity]^2)/
      448 - (169*S[-5, -1, Infinity])/7 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((15*S[2, Infinity]*S[3, Infinity])/16 + 
       (845*S[5, Infinity])/64 + 11*S[-1, 1, 1, 1, 1, Infinity]) + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   105*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -2, -1, -1, 1, Infinity] -> (-23*S[-1, Infinity]^7)/1008 + 
   (7*S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (49*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((23*S[1, Infinity]*S[2, Infinity])/48 - 
     (49*S[3, Infinity])/96) - (2771*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (39999*S[2, Infinity]*S[5, Infinity])/448 + (892235*S[7, Infinity])/3584 - 
   (289*S[-5, 1, 1, Infinity])/14 + (209*S[5, -1, -1, Infinity])/7 + 
   (35*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*(3*S[2, Infinity]^2 + (7*S[1, Infinity]*S[3, Infinity])/
      16 + (7*S[-1, 1, 1, 1, Infinity])/6) + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/32 - (7107*S[5, Infinity])/128 + 
     S[1, Infinity]*((-271*S[2, Infinity]^2)/80 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - (11*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((1079*S[2, Infinity]^3)/140 + 
     (1445*S[3, Infinity]^2)/56 - (289*S[-5, -1, Infinity])/14 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((21*S[2, Infinity]*S[3, Infinity])/16 + 
       (845*S[5, Infinity])/64 + 11*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-3019*S[2, Infinity]^3)/560 - (417*S[3, Infinity]^2)/64 + 
     (47*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 42*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   101*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -2, -1, 1, -1, Infinity] -> (17*S[-1, Infinity]^7)/1260 - 
   (S[-1, Infinity]^6*S[1, Infinity])/40 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     S[3, Infinity]/192) - (449*S[2, Infinity]^2*S[3, Infinity])/112 - 
   (37823*S[2, Infinity]*S[5, Infinity])/896 + (787257*S[7, Infinity])/7168 - 
   (149*S[-5, 1, 1, Infinity])/14 + (395*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((63*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]/
      6) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-17*S[1, Infinity]*S[2, Infinity]^2)/8 + 
     (S[2, Infinity]*S[3, Infinity])/32 - (3511*S[5, Infinity])/128 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((391*S[2, Infinity]^3)/160 + (745*S[3, Infinity]^2)/56 - 
     (149*S[-5, -1, Infinity])/14 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((221*S[5, Infinity])/32 + 
       7*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-107*S[2, Infinity]^3)/40 - (39*S[3, Infinity]^2)/8 + 
     13*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   44*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, -1, 1, 1, Infinity] -> 
  (2*S[-1, Infinity]^7)/105 - (3*S[-1, Infinity]^6*S[1, Infinity])/80 - 
   (3*S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    ((17*S[1, Infinity]*S[2, Infinity])/48 + S[3, Infinity]/32) - 
   (8343*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (37823*S[2, Infinity]*S[5, Infinity])/896 + (787257*S[7, Infinity])/7168 - 
   (149*S[-5, 1, 1, Infinity])/14 + (395*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/3 - S[-1, 1, 1, 1, Infinity]/6) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 - 
     (3511*S[5, Infinity])/128 + S[1, Infinity]*((-47*S[2, Infinity]^2)/16 + 
       S[-1, 1, 1, 1, Infinity]/2) - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-2141*S[2, Infinity]^3)/560 - (891*S[3, Infinity]^2)/
      128 + (31*S[-5, -1, Infinity])/2 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     30*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((4023*S[2, Infinity]^3)/1120 + (13789*S[3, Infinity]^2)/896 - 
     (92*S[-5, -1, Infinity])/7 + S[1, Infinity]*
      ((-21*S[2, Infinity]*S[3, Infinity])/16 + (221*S[5, Infinity])/32 + 
       7*S[-1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   44*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 1, -1, -1, Infinity] -> 
  (31*S[-1, Infinity]^7)/1008 - (11*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (9*S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    ((-29*S[1, Infinity]*S[2, Infinity])/48 + (7*S[3, Infinity])/48) + 
   (151*S[2, Infinity]^2*S[3, Infinity])/35 - (282637*S[7, Infinity])/1792 + 
   (115*S[-5, 1, 1, Infinity])/7 - (137*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-41*S[2, Infinity]^2)/12 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-521*S[2, Infinity]^3)/112 - (575*S[3, Infinity]^2)/28 + 
     (115*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*((-457*S[5, Infinity])/64 - 
       7*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((54473*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
     (325*S[5, Infinity])/8 + S[1, Infinity]*((19*S[2, Infinity]^2)/16 + 
       2*S[-1, 1, 1, 1, Infinity]) + (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((97*S[2, Infinity]^3)/40 + (111*S[3, Infinity]^2)/32 - 
     (37*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     15*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 1, -1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (49*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/2 - 
     S[3, Infinity]/192) + (12237*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (475831*S[7, Infinity])/3584 + (201*S[-5, 1, 1, Infinity])/14 - 
   (134*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-269*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((49369*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 + 
     (2445*S[5, Infinity])/64 + S[1, Infinity]*((39*S[2, Infinity]^2)/20 + 
       S[-1, 1, 1, 1, Infinity]/2) + (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-641*S[2, Infinity]^3)/560 - (16479*S[3, Infinity]^2)/
      896 + (423*S[-5, -1, Infinity])/28 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((3*S[2, Infinity]*S[3, Infinity])/16 - 
       (457*S[5, Infinity])/64 - 7*S[-1, 1, 1, 1, 1, Infinity]) - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (2*S[2, Infinity]^3 + (501*S[3, Infinity]^2)/128 - 
     10*S[-5, -1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     21*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/2520 - (S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (31*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/16 - 
     (7*S[3, Infinity])/64) - (199*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((8*S[2, Infinity]^2)/15 + 
     (7*S[1, Infinity]*S[3, Infinity])/48) - 
   (3889*S[2, Infinity]*S[5, Infinity])/896 + (192189*S[7, Infinity])/7168 + 
   (3*S[-5, 1, 1, Infinity])/14 + (41*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((29*S[1, Infinity]*S[2, Infinity]^2)/16 - 
     (7*S[2, Infinity]*S[3, Infinity])/16 - (101*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((1889*S[2, Infinity]^3)/1120 - (53*S[3, Infinity]^2)/224 + 
     (69*S[-5, -1, Infinity])/28 + S[1, Infinity]*
      ((7*S[2, Infinity]*S[3, Infinity])/16 - (27*S[5, Infinity])/32 - 
       S[-1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((22*S[2, Infinity]^3)/35 + (107*S[3, Infinity]^2)/64 - 
     (19*S[-5, -1, Infinity])/4 + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -2, 1, 1, 1, Infinity] -> 
  (5*S[-1, Infinity]^7)/504 - (S[-1, Infinity]^6*S[1, Infinity])/72 - 
   (S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/24 - (7*S[3, Infinity])/96) - 
   (333*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (599*S[2, Infinity]*S[5, Infinity])/448 - (6441*S[7, Infinity])/896 + 
   (29*S[-5, 1, 1, Infinity])/14 - (3*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/8 + (7*S[1, Infinity]*S[3, Infinity])/
      48 - S[-1, 1, 1, 1, Infinity]/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-109*S[2, Infinity]^3)/40 - (145*S[3, Infinity]^2)/56 + 
     (29*S[-5, -1, Infinity])/14 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/16 - 
       (27*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 + 
     (91*S[5, Infinity])/32 + S[1, Infinity]*(S[2, Infinity]^2/8 + 
       S[-1, 1, 1, 1, Infinity]/2) + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((18*S[2, Infinity]^3)/35 + (109*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, 1, 1, 
    Infinity], S[1, -1, 2, -1, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (73*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (1087*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   S[-1, Infinity]^4*((-19*S[1, Infinity]*S[2, Infinity])/24 + 
     (7*S[3, Infinity])/64) + (3031*S[2, Infinity]^2*S[3, Infinity])/320 - 
   (132951*S[7, Infinity])/512 + (95*S[-5, 1, 1, Infinity])/4 - 
   (63*S[5, -1, -1, Infinity])/2 + S[-1, Infinity]*
    ((-4083*S[2, Infinity]^3)/560 - (971*S[3, Infinity]^2)/32 + 
     (95*S[-5, -1, Infinity])/4 + S[1, Infinity]*
      ((3*S[2, Infinity]*S[3, Infinity])/8 - (61*S[5, Infinity])/8 - 
       8*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((12127*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((161*S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (15*S[2, Infinity]*S[3, Infinity])/32 + (7401*S[5, Infinity])/128 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((1459*S[2, Infinity]^3)/280 + (501*S[3, Infinity]^2)/64 - 
     20*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   109*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, -1, -1, 1, Infinity] -> 
  (-67*S[-1, Infinity]^7)/1680 + (S[-1, Infinity]^6*S[1, Infinity])/16 + 
   (5*S[-1, Infinity]^5*S[2, Infinity])/12 + S[-1, Infinity]^4*
    ((-41*S[1, Infinity]*S[2, Infinity])/48 + S[3, Infinity]/8) + 
   (14303*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (1529839*S[7, Infinity])/7168 + (573*S[-5, 1, 1, Infinity])/28 - 
   (757*S[5, -1, -1, Infinity])/28 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((-617*S[2, Infinity]^2)/120 + 
     S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((36027*S[5, Infinity])/448 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/16 + (805*S[5, Infinity])/16 + 
     S[1, Infinity]*((463*S[2, Infinity]^2)/80 - (3*S[-1, 1, 1, 1, Infinity])/
        2) + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-1117*S[2, Infinity]^3)/160 - (12615*S[3, Infinity]^2)/
      448 + (741*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-61*S[5, Infinity])/8 - 
       8*S[-1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((3293*S[2, Infinity]^3)/560 + (39*S[3, Infinity]^2)/4 - 
     26*S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   93*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, -1, 1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^7)/280 + (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/8 + 
     (7*S[3, Infinity])/16) + (31*S[2, Infinity]^2*S[3, Infinity])/14 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/2 - (7*S[1, Infinity]*S[3, Infinity])/
      16) + (6025*S[2, Infinity]*S[5, Infinity])/224 - 
   (280297*S[7, Infinity])/3584 - (15*S[-5, 1, 1, Infinity])/14 - 
   (127*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^2*
    ((93*S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (63*S[2, Infinity]*S[3, Infinity])/32 + (185*S[5, Infinity])/16 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-2361*S[2, Infinity]^3)/560 - (4197*S[3, Infinity]^2)/896 + 
     (69*S[-5, -1, Infinity])/14 + S[1, Infinity]*
      ((-21*S[2, Infinity]*S[3, Infinity])/16 - (61*S[5, Infinity])/8 - 
       6*S[-1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(3*S[2, Infinity]^3 + (441*S[3, Infinity]^2)/64 - 
     (35*S[-5, -1, Infinity])/2 + 30*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   30*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/840 - (S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (5*S[-1, Infinity]^5*S[2, Infinity])/48 + S[-1, Infinity]^4*
    ((-7*S[1, Infinity]*S[2, Infinity])/48 + (91*S[3, Infinity])/192) + 
   (19403*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (17137*S[2, Infinity]*S[5, Infinity])/448 - (116335*S[7, Infinity])/896 + 
   (37*S[-5, 1, 1, Infinity])/14 - (90*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/120 - 
     (7*S[1, Infinity]*S[3, Infinity])/16 - S[-1, 1, 1, 1, Infinity]/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-2621*S[2, Infinity]^3)/560 - (2509*S[3, Infinity]^2)/
      448 + (37*S[-5, -1, Infinity])/14 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-61*S[5, Infinity])/8 - 
       6*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((35*S[2, Infinity]*S[3, Infinity])/32 + (1205*S[5, Infinity])/64 + 
     S[1, Infinity]*((51*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/2) + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((1991*S[2, Infinity]^3)/560 + (405*S[3, Infinity]^2)/128 - 
     (23*S[-5, -1, Infinity])/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   50*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, 1, -1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^7)/560 + (S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (31*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((25*S[1, Infinity]*S[2, Infinity])/48 + 
     (15*S[3, Infinity])/32) - (2123*S[2, Infinity]^2*S[3, Infinity])/448 - 
   (9193*S[2, Infinity]*S[5, Infinity])/224 + (835367*S[7, Infinity])/7168 - 
   (387*S[-5, 1, 1, Infinity])/28 + (383*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((141*S[2, Infinity]^2)/40 - 
     (7*S[1, Infinity]*S[3, Infinity])/16 + S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-263*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (15*S[2, Infinity]*S[3, Infinity])/32 - (435*S[5, Infinity])/16 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-1133*S[2, Infinity]^3)/280 - (237*S[3, Infinity]^2)/64 + 
     (43*S[-5, -1, Infinity])/4 - 27*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((5721*S[2, Infinity]^3)/1120 + (14031*S[3, Infinity]^2)/
      896 - (225*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-21*S[2, Infinity]*S[3, Infinity])/16 + 
       (35*S[5, Infinity])/32 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   54*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, 1, -1, 1, Infinity] -> 
  (-281*S[-1, Infinity]^7)/5040 + (7*S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (S[-1, Infinity]^5*S[2, Infinity])/24 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/12 + (7*S[3, Infinity])/64) + 
   (1307*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (10883*S[2, Infinity]*S[5, Infinity])/448 + (481659*S[7, Infinity])/7168 - 
   (391*S[-5, 1, 1, Infinity])/28 + (225*S[5, -1, -1, Infinity])/28 + 
   (63*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((469*S[2, Infinity]^2)/240 - 
     (7*S[1, Infinity]*S[3, Infinity])/16 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((87*S[2, Infinity]*S[3, Infinity])/32 - 
     (1399*S[5, Infinity])/64 + S[1, Infinity]*((-53*S[2, Infinity]^2)/20 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((6179*S[2, Infinity]^3)/1120 + (7967*S[3, Infinity]^2)/
      448 - (391*S[-5, -1, Infinity])/28 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-3*S[2, Infinity]*S[3, Infinity])/2 + (35*S[5, Infinity])/32 + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-71*S[2, Infinity]^3)/28 - (723*S[3, Infinity]^2)/128 + 
     (17*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 21*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   50*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 2, 1, 1, -1, Infinity] -> 
  (-107*S[-1, Infinity]^7)/2520 + (7*S[-1, Infinity]^6*S[1, Infinity])/144 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/30 + S[-1, Infinity]^4*
    ((-5*S[1, Infinity]*S[2, Infinity])/16 + S[3, Infinity]/6) + 
   (1003*S[2, Infinity]^2*S[3, Infinity])/560 - (20443*S[7, Infinity])/1792 - 
   S[-5, 1, 1, Infinity]/7 - (9*S[5, -1, -1, Infinity])/14 + 
   (31*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((-27*S[2, Infinity]^2)/40 - 
     (7*S[1, Infinity]*S[3, Infinity])/24 + (11*S[-1, 1, 1, 1, Infinity])/
      6) + S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/16 - 
     (101*S[5, Infinity])/128 + S[1, Infinity]*((3*S[2, Infinity]^2)/16 - 
       2*S[-1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2357*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-13*S[2, Infinity]^3)/560 + (5*S[3, Infinity]^2)/28 - 
     S[-5, -1, Infinity]/7 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/8 + 4*S[5, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((2*S[2, Infinity]^3)/35 - (73*S[3, Infinity]^2)/64 + 
     (11*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 2, 1, 1, 1, Infinity] -> (-31*S[-1, Infinity]^7)/840 + 
   (13*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   (21*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/24 + 
     (29*S[3, Infinity])/64) - (106*S[2, Infinity]^2*S[3, Infinity])/35 + 
   (150995*S[7, Infinity])/7168 + (9*S[-5, 1, 1, Infinity])/14 + 
   (81*S[5, -1, -1, Infinity])/28 - 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^3*((-7*S[2, Infinity]^2)/12 - 
     (7*S[1, Infinity]*S[3, Infinity])/24 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-73*S[2, Infinity]*S[3, Infinity])/32 - 
     (221*S[5, Infinity])/64 + S[1, Infinity]*((3*S[2, Infinity]^2)/8 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1041*S[5, Infinity])/112 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-18*S[2, Infinity]^3)/35 - (11*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-243*S[2, Infinity]^3)/1120 - (397*S[3, Infinity]^2)/
      224 + (25*S[-5, -1, Infinity])/28 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((7*S[2, Infinity]*S[3, Infinity])/8 + 4*S[5, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, -1, -1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^7)/252 + (11*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/48 + S[2, Infinity]/15) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/4 + 
     (49*S[3, Infinity])/192) + (7893*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (38191*S[7, Infinity])/896 + (61*S[-5, 1, 1, Infinity])/28 - 
   (71*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-7*S[1, Infinity]^2*S[2, Infinity])/24 - (37*S[2, Infinity]^2)/60 - 
     (7*S[1, Infinity]*S[3, Infinity])/8 + S[-1, 1, 1, 1, Infinity]/3) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((11*S[1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (121*S[2, Infinity]^3)/280 - (21*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (561*S[3, Infinity]^2)/224 + 
     (61*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((21*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (21*S[2, Infinity]*S[3, Infinity])/16 + (589*S[5, Infinity])/64 + 
     S[1, Infinity]*((-29*S[2, Infinity]^2)/20 - S[-1, 1, 1, 1, Infinity]/
        2) + S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((27*S[2, Infinity]*S[3, Infinity])/32 + (101*S[5, Infinity])/128 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((16211*S[5, Infinity])/896 + (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-431*S[2, Infinity]^3)/560 - (269*S[3, Infinity]^2)/128 + 
     (9*S[-5, -1, Infinity])/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, -1, -1, 1, Infinity] -> 
  (-67*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^6*S[1, Infinity])/240 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 + (7*S[2, Infinity])/48) + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/24 + 
     (19*S[3, Infinity])/64) + (71*S[2, Infinity]^2*S[3, Infinity])/320 - 
   (2601*S[7, Infinity])/512 + S[-5, 1, 1, Infinity]/4 - 
   2*S[5, -1, -1, Infinity] + S[-1, Infinity]^3*
    ((-7*S[1, Infinity]^2*S[2, Infinity])/24 - (9*S[2, Infinity]^2)/10 - 
     (7*S[1, Infinity]*S[3, Infinity])/8 - S[-1, 1, 1, 1, Infinity]/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((21*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (S[2, Infinity]*S[3, Infinity])/4 + (651*S[5, Infinity])/64 + 
     S[1, Infinity]*((-47*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]) + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((1327*S[5, Infinity])/128 + (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 + 
     (845*S[5, Infinity])/128 + (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((263*S[2, Infinity]^3)/140 - (223*S[3, Infinity]^2)/64 + 
     (11*S[-5, -1, Infinity])/2 + S[1, Infinity]^2*
      ((17*S[2, Infinity]^2)/10 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((21*S[2, Infinity]*S[3, Infinity])/16 - 
       (93*S[5, Infinity])/8 - 6*S[-1, 1, 1, 1, 1, Infinity]) - 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((3*S[2, Infinity]^3)/560 + (165*S[3, Infinity]^2)/128 - 
     3*S[-5, -1, Infinity] + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -2, -1, 1, -1, Infinity] -> S[-1, Infinity]^7/2520 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/120 - S[2, Infinity]/80) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/48 - 
     (7*S[3, Infinity])/192) - (199*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (192189*S[7, Infinity])/7168 + (3*S[-5, 1, 1, Infinity])/14 + 
   (41*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/6 + S[2, Infinity]^2/6 - 
     S[-1, 1, 1, 1, Infinity]/6) + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/32 + (155*S[5, Infinity])/64 + 
     S[1, Infinity]*((139*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
        2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-795*S[5, Infinity])/896 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    ((221*S[5, Infinity])/64 + (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((3363*S[2, Infinity]^3)/1120 - (1157*S[3, Infinity]^2)/
      896 + (111*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*
      ((87*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/2) - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-465*S[5, Infinity])/64 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((16*S[2, Infinity]^3)/35 + (45*S[3, Infinity]^2)/16 - 
     (15*S[-5, -1, Infinity])/2 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/5040 + (S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/80 - S[2, Infinity]/60) - 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/48 - 
     (7*S[3, Infinity])/192) + (187*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((43*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[2, Infinity]*S[3, Infinity])/32 + (155*S[5, Infinity])/64) - 
   (6441*S[7, Infinity])/896 + S[-1, Infinity]*
    ((-9*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (39*S[2, Infinity]^3)/16 - 
     (817*S[3, Infinity]^2)/448 + (29*S[-5, -1, Infinity])/14) + 
   (29*S[-5, 1, 1, Infinity])/14 - (3*S[5, -1, -1, Infinity])/7 + 
   S[1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/32 - 
     (23*S[5, Infinity])/128 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1037*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((6*S[2, Infinity]^3)/35 + (131*S[3, Infinity]^2)/128 - 
     (15*S[-5, -1, Infinity])/4 - S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/720 + (7*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/30 - S[2, Infinity]/40) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 - 
     (3*S[3, Infinity])/64) - (1247*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (67773*S[7, Infinity])/3584 + S[1, Infinity]*((41*S[2, Infinity]^3)/280 - 
     (9*S[3, Infinity]^2)/32 + (3*S[-5, -1, Infinity])/4) - 
   (59*S[-5, 1, 1, Infinity])/28 + (37*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((11*S[1, Infinity]^2*S[2, Infinity])/24 + 
     (11*S[2, Infinity]^2)/15 + S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-643*S[5, Infinity])/56 - (7*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]^2*((-457*S[5, Infinity])/128 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/32 - (465*S[5, Infinity])/64 + 
     S[1, Infinity]*((11*S[2, Infinity]^2)/16 - (3*S[-1, 1, 1, 1, Infinity])/
        2) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-19*S[2, Infinity]^3)/70 + (2479*S[3, Infinity]^2)/896 - 
     (73*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]^2*((-53*S[2, Infinity]^2)/80 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
      ((341*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -2, 1, -1, 1, Infinity] -> (2*S[-1, Infinity]^7)/315 - 
   (S[-1, Infinity]^6*S[1, Infinity])/360 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/80 + S[2, Infinity]/240) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 + 
     (7*S[3, Infinity])/192) - (3937*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-41*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[2, Infinity]*S[3, Infinity])/32 - (93*S[5, Infinity])/32) + 
   (115445*S[7, Infinity])/7168 - (23*S[-5, 1, 1, Infinity])/28 + 
   (61*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/8 + (4*S[2, Infinity]^2)/15 - 
     S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-9*S[1, Infinity]^2*S[2, Infinity]^2)/20 - 
     (551*S[2, Infinity]^3)/1120 + (411*S[3, Infinity]^2)/448 - 
     (23*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-3315*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/32 - (29*S[5, Infinity])/32 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((101*S[2, Infinity]^3)/280 - (5*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity]/4 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, 1, 1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/1680 + (S[-1, Infinity]^6*S[1, Infinity])/48 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/240 - S[2, Infinity]/80) + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/48 + 
     S[3, Infinity]/24) + (35*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (563*S[7, Infinity])/64 - S[-5, 1, 1, Infinity]/2 - 
   S[5, -1, -1, Infinity] + S[-1, Infinity]^2*
    ((7*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (27*S[2, Infinity]*S[3, Infinity])/32 + (31*S[5, Infinity])/64 + 
     S[1, Infinity]*((-3*S[2, Infinity]^2)/20 - S[-1, 1, 1, 1, Infinity]/
        2)) + S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 + 
     S[2, Infinity]^2/30 - (7*S[1, Infinity]*S[3, Infinity])/24 + 
     S[-1, 1, 1, 1, Infinity]/6) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((-17*S[2, Infinity]^3)/280 - (49*S[3, Infinity]^2)/128 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((S[1, Infinity]^2*S[2, Infinity]^2)/40 + 
     S[2, Infinity]^3/28 - (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/
      16 + (5*S[3, Infinity]^2)/8 - S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/32 + 
     S[5, Infinity]/16 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((193*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) - 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -2, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/126 + (S[-1, Infinity]^6*S[1, Infinity])/36 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/60 + S[2, Infinity]/60) + 
   S[-1, Infinity]^4*((-7*S[1, Infinity]*S[2, Infinity])/48 + 
     S[3, Infinity]/24) + (21*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (563*S[7, Infinity])/64 - S[-5, 1, 1, Infinity]/2 - 
   S[5, -1, -1, Infinity] + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/12 + S[2, Infinity]^2/12 - 
     (7*S[1, Infinity]*S[3, Infinity])/24 + S[-1, 1, 1, 1, Infinity]/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((7*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (13*S[2, Infinity]*S[3, Infinity])/32 + S[1, Infinity]*
      (S[2, Infinity]^2/8 - S[-1, 1, 1, 1, Infinity]) - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/32 - (27*S[5, Infinity])/64 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    ((81*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((-9*S[2, Infinity]^3)/40 - (17*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity]/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((7*S[2, Infinity]^3)/40 + (3*S[3, Infinity]^2)/8 - S[-5, -1, Infinity] + 
     (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/16 + 
       (31*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 2, -1, -1, -1, Infinity] -> S[-1, Infinity]^7/84 + 
   (S[-1, Infinity]^6*S[1, Infinity])/40 + S[-1, Infinity]^5*
    ((-7*S[1, Infinity]^2)/240 - S[2, Infinity]/20) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/48 - 
     S[3, Infinity]/4) - (727*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((13*S[1, Infinity]^2*S[2, Infinity])/24 + 
     (7*S[2, Infinity]^2)/10 + (7*S[1, Infinity]*S[3, Infinity])/24) + 
   (124065*S[7, Infinity])/3584 - (11*S[-5, 1, 1, Infinity])/7 + 
   (69*S[5, -1, -1, Infinity])/14 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-8285*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/16 - (61*S[5, Infinity])/16 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-11*S[2, Infinity]*S[3, Infinity])/16 - (589*S[5, Infinity])/64 + 
     S[1, Infinity]*((53*S[2, Infinity]^2)/40 - (3*S[-1, 1, 1, 1, Infinity])/
        2) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-57*S[2, Infinity]^3)/140 + (1741*S[3, Infinity]^2)/
      448 - (65*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*
      ((-11*S[2, Infinity]^2)/16 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/8 + 
       (93*S[5, Infinity])/16 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((34*S[2, Infinity]^3)/35 - (25*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/4 + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, -1, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^7)/560 - (S[-1, Infinity]^6*S[1, Infinity])/144 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 - S[2, Infinity]/48) + 
   (5*S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/48 - 
   (787*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (35*S[2, Infinity]*S[3, Infinity])/16 - (155*S[5, Infinity])/32) + 
   (84669*S[7, Infinity])/1792 + (6*S[-5, 1, 1, Infinity])/7 + 
   (41*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((5*S[1, Infinity]^2*S[2, Infinity])/24 + (7*S[2, Infinity]^2)/30 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/2) - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-19*S[1, Infinity]^2*S[2, Infinity]^2)/40 - 
     (61*S[2, Infinity]^3)/70 + (7*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (15*S[3, Infinity]^2)/14 + 
     (6*S[-5, -1, Infinity])/7 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-1023*S[5, Infinity])/56 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((-29*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((49*S[3, Infinity]^2)/32 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 2, -1, 1, -1, Infinity] -> (13*S[-1, Infinity]^7)/280 - 
   (11*S[-1, Infinity]^6*S[1, Infinity])/180 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 - (53*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/24 - 
     (27*S[3, Infinity])/64) - (4127*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (8923*S[2, Infinity]*S[5, Infinity])/896 + (150995*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((-83*S[1, Infinity]^2*S[2, Infinity]^2)/80 - 
     (2493*S[2, Infinity]^3)/1120 + (7*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (45*S[3, Infinity]^2)/56 + 
     (9*S[-5, -1, Infinity])/14) + (9*S[-5, 1, 1, Infinity])/14 + 
   (81*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/6 + (7*S[1, Infinity]*S[3, Infinity])/
      6 - (3*S[-1, 1, 1, 1, Infinity])/2) - 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[1, Infinity]^2*
    ((-21*S[2, Infinity]*S[3, Infinity])/32 - (85*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-21*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (19*S[2, Infinity]*S[3, Infinity])/16 - (93*S[5, Infinity])/32 + 
     S[1, Infinity]*((79*S[2, Infinity]^2)/80 + (3*S[-1, 1, 1, 1, Infinity])/
        2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-163*S[2, Infinity]^3)/560 + (209*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 2, -1, 1, 1, Infinity] -> (227*S[-1, Infinity]^7)/5040 - 
   (13*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/240 - (13*S[2, Infinity])/40) + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/12 - 
     (43*S[3, Infinity])/64) + (611*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (20443*S[7, Infinity])/1792 - S[-5, 1, 1, Infinity]/7 - 
   (9*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((43*S[2, Infinity]^2)/60 + (7*S[1, Infinity]*S[3, Infinity])/6 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) + 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-1059*S[5, Infinity])/896 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((-61*S[5, Infinity])/16 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-21*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (13*S[2, Infinity]*S[3, Infinity])/8 - (217*S[5, Infinity])/64 + 
     S[1, Infinity]*((21*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-173*S[2, Infinity]^3)/560 - (89*S[3, Infinity]^2)/64 + 
     (9*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-411*S[2, Infinity]^3)/280 + (2869*S[3, Infinity]^2)/
      896 - (95*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*
      ((-17*S[2, Infinity]^2)/16 + S[-1, 1, 1, 1, Infinity]/2) + 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-35*S[2, Infinity]*S[3, Infinity])/16 + 
       (403*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 2, 1, -1, -1, Infinity] -> (11*S[-1, Infinity]^7)/560 - 
   (7*S[-1, Infinity]^6*S[1, Infinity])/144 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/120 - S[2, Infinity]/60) + 
   (5*S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/48 - 
   (1577*S[2, Infinity]^2*S[3, Infinity])/1120 - (6441*S[7, Infinity])/896 + 
   (29*S[-5, 1, 1, Infinity])/14 - (3*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-11*S[1, Infinity]^2*S[2, Infinity])/24 - 
     (59*S[2, Infinity]^2)/60 + (7*S[1, Infinity]*S[3, Infinity])/24 - 
     S[-1, 1, 1, 1, Infinity]) - (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[-1, Infinity]*((-49*S[1, Infinity]^2*S[2, Infinity]^2)/80 - 
     (267*S[2, Infinity]^3)/80 + (7*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (145*S[3, Infinity]^2)/56 + 
     (29*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 - 
     (23*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1037*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-7*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (35*S[2, Infinity]*S[3, Infinity])/32 + (155*S[5, Infinity])/64 + 
     S[1, Infinity]*((-119*S[2, Infinity]^2)/80 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-48*S[2, Infinity]^3)/35 - (131*S[3, Infinity]^2)/128 + 
     (15*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, 1, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^7)/420 - (3*S[-1, Infinity]^6*S[1, Infinity])/40 + 
   S[-1, Infinity]^5*((11*S[1, Infinity]^2)/240 - (17*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/16 - 
     S[3, Infinity]/8) + (13*S[2, Infinity]^2*S[3, Infinity])/14 - 
   (98579*S[7, Infinity])/7168 + (19*S[-5, 1, 1, Infinity])/14 - 
   (39*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-11*S[1, Infinity]^2*S[2, Infinity])/24 - (3*S[2, Infinity]^2)/5 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((4*S[2, Infinity]^3)/5 - (97*S[3, Infinity]^2)/64 + 
     (15*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((4233*S[5, Infinity])/896 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/16 + (35*S[5, Infinity])/64 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-7*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (3*S[2, Infinity]*S[3, Infinity])/32 + (217*S[5, Infinity])/64 + 
     S[1, Infinity]*((-177*S[2, Infinity]^2)/80 + 
       3*S[-1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-1327*S[2, Infinity]^3)/1120 - 
     (1079*S[3, Infinity]^2)/896 + (19*S[-5, -1, Infinity])/14 + 
     S[1, Infinity]^2*((2*S[2, Infinity]^2)/5 - (3*S[-1, 1, 1, 1, Infinity])/
        2) + S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/16 - 
       (93*S[5, Infinity])/64 - 6*S[-1, 1, 1, 1, 1, Infinity]) - 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 2, 1, 1, -1, Infinity] -> S[-1, Infinity]^7/5040 - 
   (S[-1, Infinity]^6*S[1, Infinity])/720 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/240 + S[2, Infinity]/240) + 20*S[7, Infinity] + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/6 + 
     (3*S[2, Infinity]^2)/10 - S[-1, 1, 1, 1, Infinity]/6) + 
   S[1, Infinity]^2*(2*S[5, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(2*S[5, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*(S[1, Infinity]*((6*S[2, Infinity]^2)/5 + 
       S[-1, 1, 1, 1, Infinity]/2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((202*S[2, Infinity]^3)/35 + S[1, Infinity]^2*
      ((6*S[2, Infinity]^2)/5 - S[-1, 1, 1, 1, Infinity]/2) - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((16*S[2, Infinity]^3)/7 + 10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   20*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 2, 1, 1, 1, Infinity] -> 
  (-16*S[1, Infinity]*S[2, Infinity]^3)/7 + 2*S[1, Infinity]^2*
    S[5, Infinity] + 2*S[2, Infinity]*S[5, Infinity] + 20*S[7, Infinity], 
 S[1, -1, -1, -2, -1, -1, Infinity] -> (16*S[-1, Infinity]^7)/315 - 
   (S[-1, Infinity]^6*S[1, Infinity])/24 + 
   (43*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/12 + 
     (11*S[3, Infinity])/96) + (3361*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (67353*S[2, Infinity]*S[5, Infinity])/896 - (383535*S[7, Infinity])/1792 + 
   (663*S[-5, 1, 1, Infinity])/28 - (351*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-197*S[2, Infinity]^2)/48 - 
     (11*S[-1, 1, 1, 1, Infinity])/6) - 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-53*S[2, Infinity]*S[3, Infinity])/16 + 
     (1739*S[5, Infinity])/32 + S[1, Infinity]*((29*S[2, Infinity]^2)/8 + 
       2*S[-1, 1, 1, 1, Infinity]) + (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-2897*S[2, Infinity]^3)/280 - (12651*S[3, Infinity]^2)/
      448 + (733*S[-5, -1, Infinity])/28 - 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-911*S[5, Infinity])/64 - 
       13*S[-1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((421*S[2, Infinity]^3)/70 + (39*S[3, Infinity]^2)/4 - 
     26*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   102*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -2, -1, 1, Infinity] -> (29*S[-1, Infinity]^7)/720 - 
   (S[-1, Infinity]^6*S[1, Infinity])/30 + (S[-1, Infinity]^5*S[2, Infinity])/
    10 + S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/6 + 
     (133*S[3, Infinity])/192) + (6641*S[2, Infinity]^2*S[3, Infinity])/
    1120 + (60887*S[2, Infinity]*S[5, Infinity])/896 - 
   (1454139*S[7, Infinity])/7168 + (281*S[-5, 1, 1, Infinity])/14 - 
   (635*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-149*S[2, Infinity]^2)/80 - (7*S[1, Infinity]*S[3, Infinity])/16 - 
     (11*S[-1, 1, 1, 1, Infinity])/6) - 
   (35*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-10513*S[2, Infinity]^3)/1120 - 
     (1405*S[3, Infinity]^2)/56 + (281*S[-5, -1, Infinity])/14 - 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-21*S[2, Infinity]*S[3, Infinity])/16 - 
       (911*S[5, Infinity])/64 - 13*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((-35*S[2, Infinity]*S[3, Infinity])/16 + 
     (1553*S[5, Infinity])/32 + S[1, Infinity]*((47*S[2, Infinity]^2)/20 + 
       2*S[-1, 1, 1, 1, Infinity]) + (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((1737*S[2, Infinity]^3)/280 + (417*S[3, Infinity]^2)/64 - 
     (47*S[-5, -1, Infinity])/2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     42*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   91*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -2, 1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^7)/1680 + (7*S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/16 + (11*S[3, Infinity])/32) - 
   (193*S[2, Infinity]^2*S[3, Infinity])/280 + (118005*S[7, Infinity])/7168 - 
   (27*S[-5, 1, 1, Infinity])/14 + (79*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((13*S[2, Infinity]^2)/8 - 
     (7*S[1, Infinity]*S[3, Infinity])/16 - S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((2397*S[2, Infinity]^3)/1120 + (135*S[3, Infinity]^2)/
      56 - (27*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((21*S[2, Infinity]*S[3, Infinity])/16 - 
       (99*S[5, Infinity])/32 - 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-2351*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-9*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (3*S[2, Infinity]*S[3, Infinity])/32 + (353*S[5, Infinity])/128 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((2*S[2, Infinity]^3)/35 - (165*S[3, Infinity]^2)/128 + 
     3*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/280 + (11*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (S[-1, Infinity]^5*S[2, Infinity])/16 + S[-1, Infinity]^4*
    ((-7*S[1, Infinity]*S[2, Infinity])/48 + (29*S[3, Infinity])/192) - 
   (251*S[2, Infinity]^2*S[3, Infinity])/560 + (38831*S[7, Infinity])/1792 - 
   S[-5, 1, 1, Infinity]/14 + (27*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/6 - (7*S[1, Infinity]*S[3, Infinity])/
      24 - S[-1, 1, 1, 1, Infinity]/2) + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-2585*S[5, Infinity])/224 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((5*S[1, Infinity]*S[2, Infinity]^2)/16 - 
     (43*S[2, Infinity]*S[3, Infinity])/32 + (347*S[5, Infinity])/64 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-123*S[2, Infinity]^3)/140 - (695*S[3, Infinity]^2)/448 + 
     (145*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/4 - 
       (99*S[5, Infinity])/32 - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((233*S[2, Infinity]^3)/280 + (241*S[3, Infinity]^2)/128 - 
     (9*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 2, -1, -1, Infinity] -> (-173*S[-1, Infinity]^7)/2520 + 
   (19*S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (31*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((17*S[1, Infinity]*S[2, Infinity])/48 - 
     (49*S[3, Infinity])/192) - (4981*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (1581991*S[7, Infinity])/7168 - (327*S[-5, 1, 1, Infinity])/14 + 
   (725*S[5, -1, -1, Infinity])/28 + 
   (49*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((911*S[2, Infinity]^2)/240 + 
     (7*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]^2*
    ((133*S[2, Infinity]*S[3, Infinity])/32 - (6715*S[5, Infinity])/128 + 
     S[1, Infinity]*((-263*S[2, Infinity]^2)/80 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-66925*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((12899*S[2, Infinity]^3)/1120 + (1635*S[3, Infinity]^2)/56 - 
     (327*S[-5, -1, Infinity])/14 + 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((245*S[5, Infinity])/16 + 
       16*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-3643*S[2, Infinity]^3)/560 - (39*S[3, Infinity]^2)/4 + 
     26*S[-5, -1, Infinity] - (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   108*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 2, -1, 1, Infinity] -> 
  (-59*S[-1, Infinity]^7)/1008 + (17*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/48 + (19*S[3, Infinity])/96) - 
   (3463*S[2, Infinity]^2*S[3, Infinity])/560 + (358593*S[7, Infinity])/
    1792 - (711*S[-5, 1, 1, Infinity])/28 + (153*S[5, -1, -1, Infinity])/7 + 
   (25*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((189*S[2, Infinity]^2)/80 - 
     (7*S[1, Infinity]*S[3, Infinity])/16 + (7*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]^2*((109*S[2, Infinity]*S[3, Infinity])/32 - 
     (6467*S[5, Infinity])/128 + S[1, Infinity]*((-191*S[2, Infinity]^2)/80 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-61455*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-3331*S[2, Infinity]^3)/560 - (459*S[3, Infinity]^2)/64 + 
     20*S[-5, -1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     42*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((4647*S[2, Infinity]^3)/560 + (11007*S[3, Infinity]^2)/448 - 
     (543*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-21*S[2, Infinity]*S[3, Infinity])/16 + 
       (245*S[5, Infinity])/16 + 16*S[-1, 1, 1, 1, 1, Infinity]) - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   99*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 2, 1, -1, Infinity] -> 
  (-103*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   (23*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/12 + 
     (7*S[3, Infinity])/32) + (891*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (11667*S[2, Infinity]*S[5, Infinity])/448 - (200247*S[7, Infinity])/3584 - 
   (9*S[-5, 1, 1, Infinity])/7 - (123*S[5, -1, -1, Infinity])/14 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((-53*S[2, Infinity]^2)/40 - 
     (7*S[1, Infinity]*S[3, Infinity])/16 + S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/32 + 
     (849*S[5, Infinity])/128 + S[1, Infinity]*((7*S[2, Infinity]^2)/80 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-11*S[2, Infinity]^3)/7 + (39*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((41*S[2, Infinity]^3)/112 - (925*S[3, Infinity]^2)/448 - 
     (15*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-21*S[2, Infinity]*S[3, Infinity])/16 + 
       (81*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 2, 1, 1, Infinity] -> (-11*S[-1, Infinity]^7)/420 + 
   (13*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     (7*S[3, Infinity])/64) + (3537*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (11667*S[2, Infinity]*S[5, Infinity])/896 - (254007*S[7, Infinity])/7168 - 
   (9*S[-5, 1, 1, Infinity])/14 - (123*S[5, -1, -1, Infinity])/28 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/40 - 
     (7*S[1, Infinity]*S[3, Infinity])/24 + S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((49*S[2, Infinity]*S[3, Infinity])/32 + 
     3*S[5, Infinity] + S[1, Infinity]*((9*S[2, Infinity]^2)/40 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1341*S[2, Infinity]^3)/1120 + (45*S[3, Infinity]^2)/56 - 
     (9*S[-5, -1, Infinity])/14 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
       (81*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-3*S[2, Infinity]^3)/5 - (49*S[3, Infinity]^2)/32 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -2, -1, -1, Infinity] -> S[-1, Infinity]^7/84 - 
   (7*S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (27*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   S[-1, Infinity]^4*((31*S[1, Infinity]*S[2, Infinity])/48 - 
     (67*S[3, Infinity])/192) - (1737*S[2, Infinity]^2*S[3, Infinity])/320 + 
   (165179*S[7, Infinity])/1024 - (59*S[-5, 1, 1, Infinity])/4 + 
   (77*S[5, -1, -1, Infinity])/4 + S[-1, Infinity]^3*
    ((911*S[2, Infinity]^2)/240 + (7*S[1, Infinity]*S[3, Infinity])/16 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((7899*S[2, Infinity]^3)/1120 + (295*S[3, Infinity]^2)/
      16 - (59*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-21*S[2, Infinity]*S[3, Infinity])/16 - (99*S[5, Infinity])/32 - 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-7033*S[5, Infinity])/128 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/8 - 
     (3677*S[5, Infinity])/128 + S[1, Infinity]*((-263*S[2, Infinity]^2)/80 + 
       2*S[-1, 1, 1, 1, Infinity]) + (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-263*S[2, Infinity]^3)/80 - (459*S[3, Infinity]^2)/128 + 
     10*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     21*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   73*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -2, -1, 1, Infinity] -> 
  (37*S[-1, Infinity]^7)/1680 - (3*S[-1, Infinity]^6*S[1, Infinity])/80 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   S[-1, Infinity]^4*((19*S[1, Infinity]*S[2, Infinity])/48 - 
     S[3, Infinity]/48) - (179*S[2, Infinity]^2*S[3, Infinity])/40 + 
   (71977*S[7, Infinity])/512 - (25*S[-5, 1, 1, Infinity])/2 + 
   16*S[5, -1, -1, Infinity] + S[-1, Infinity]^3*((117*S[2, Infinity]^2)/40 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-6471*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/32 - (2995*S[5, Infinity])/128 + 
     S[1, Infinity]*((-59*S[2, Infinity]^2)/20 + 
       2*S[-1, 1, 1, 1, Infinity]) + (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-197*S[2, Infinity]^3)/80 - (111*S[3, Infinity]^2)/32 + 
     (37*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     15*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1423*S[2, Infinity]^3)/280 + (1943*S[3, Infinity]^2)/128 - 
     (47*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-99*S[5, Infinity])/32 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -2, 1, -1, Infinity] -> 
  (47*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (7*S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/24 - 
   (151*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (1047*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (17517*S[2, Infinity]*S[5, Infinity])/896 - (306225*S[7, Infinity])/7168 + 
   S[1, Infinity]*((-103*S[2, Infinity]^3)/560 + (9*S[3, Infinity]^2)/32 - 
     (3*S[-5, -1, Infinity])/4) + (33*S[-5, 1, 1, Infinity])/7 - 
   (183*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^2*
    ((13*S[1, Infinity]*S[2, Infinity]^2)/20 - 
     (3*S[2, Infinity]*S[3, Infinity])/32 + (1345*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((87*S[2, Infinity]^3)/1120 - (5497*S[3, Infinity]^2)/896 + 
     (73*S[-5, -1, Infinity])/14 + S[1, Infinity]*((25*S[5, Infinity])/32 + 
       S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/280 - (S[-1, Infinity]^6*S[1, Infinity])/180 - 
   (17*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (29*S[3, Infinity])/192) + (1367*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^3*((-3*S[2, Infinity]^2)/20 + 
     (7*S[1, Infinity]*S[3, Infinity])/48) + 
   (215*S[2, Infinity]*S[5, Infinity])/28 - (44299*S[7, Infinity])/3584 + 
   (10*S[-5, 1, 1, Infinity])/7 - (18*S[5, -1, -1, Infinity])/7 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((7*S[1, Infinity]*S[2, Infinity]^2)/20 + 
     (11*S[2, Infinity]*S[3, Infinity])/16 + (223*S[5, Infinity])/64 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((407*S[2, Infinity]^3)/560 - (25*S[3, Infinity]^2)/14 + 
     (10*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
       (25*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-251*S[2, Infinity]^3)/560 + (19*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity]/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 2, -1, -1, Infinity] -> (5*S[-1, Infinity]^7)/168 - 
   (S[-1, Infinity]^6*S[1, Infinity])/60 + 
   (9*S[-1, Infinity]^5*S[2, Infinity])/80 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/3 - (17*S[3, Infinity])/48) + 
   (109*S[2, Infinity]^2*S[3, Infinity])/20 + 
   (3359*S[2, Infinity]*S[5, Infinity])/64 - (19447*S[7, Infinity])/128 + 
   17*S[-5, 1, 1, Infinity] - (35*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^2*((-43*S[2, Infinity]*S[3, Infinity])/32 + 
     (513*S[5, Infinity])/16 + S[1, Infinity]*((29*S[2, Infinity]^2)/8 - 
       S[-1, 1, 1, 1, Infinity]/2)) + S[-1, Infinity]^3*
    ((-197*S[2, Infinity]^2)/48 + (7*S[1, Infinity]*S[3, Infinity])/16 - 
     S[-1, 1, 1, 1, Infinity]/6) + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-2039*S[2, Infinity]^3)/280 - (2471*S[3, Infinity]^2)/
      128 + S[1, Infinity]*((21*S[2, Infinity]*S[3, Infinity])/16 + 
       (87*S[5, Infinity])/32) + (77*S[-5, -1, Infinity])/4 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((2259*S[2, Infinity]^3)/560 + (237*S[3, Infinity]^2)/64 - 
     (43*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 27*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   73*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 2, -1, 1, Infinity] -> 
  (97*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (19*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/24 + 
     (67*S[3, Infinity])/192) - (7257*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (12899*S[2, Infinity]*S[5, Infinity])/448 - (643177*S[7, Infinity])/7168 + 
   (433*S[-5, 1, 1, Infinity])/28 - (267*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((-77*S[2, Infinity]*S[3, Infinity])/16 + 
     (1463*S[5, Infinity])/64 + S[1, Infinity]*((233*S[2, Infinity]^2)/80 - 
       S[-1, 1, 1, 1, Infinity]/2)) + S[-1, Infinity]^3*
    ((-97*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]/6) - 
   (67*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-1857*S[2, Infinity]^3)/224 - (2165*S[3, Infinity]^2)/
      112 + S[1, Infinity]*((21*S[2, Infinity]*S[3, Infinity])/8 + 
       (87*S[5, Infinity])/32) + (433*S[-5, -1, Infinity])/28 - 
     5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((417*S[2, Infinity]^3)/112 + (681*S[3, Infinity]^2)/128 - 
     (17*S[-5, -1, Infinity])/2 + (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 21*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   62*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 2, 1, -1, Infinity] -> 
  (19*S[-1, Infinity]^7)/1680 - (S[-1, Infinity]^6*S[1, Infinity])/80 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 + 
     S[3, Infinity]/4) - (1335*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (86271*S[7, Infinity])/3584 + (15*S[-5, 1, 1, Infinity])/14 + 
   (18*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((11*S[2, Infinity]^2)/16 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
   6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*(S[2, Infinity]^3 + (45*S[3, Infinity]^2)/32 - 
     (15*S[-5, -1, Infinity])/4 + (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((-33*S[2, Infinity]^3)/80 - 
     (75*S[3, Infinity]^2)/56 + (15*S[-5, -1, Infinity])/14 - 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*(-6*S[5, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-6159*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-45*S[2, Infinity]*S[3, Infinity])/32 + (291*S[5, Infinity])/128 + 
     S[1, Infinity]*((-3*S[2, Infinity]^2)/16 + (3*S[-1, 1, 1, 1, Infinity])/
        2) + 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 2, 1, 1, Infinity] -> 
  (11*S[-1, Infinity]^7)/420 - (19*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (43*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/48 - 
     (15*S[3, Infinity])/64) + (965*S[2, Infinity]^2*S[3, Infinity])/448 - 
   (146261*S[7, Infinity])/7168 + (17*S[-5, 1, 1, Infinity])/14 - 
   (99*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((11*S[2, Infinity]^2)/24 + (7*S[1, Infinity]*S[3, Infinity])/48 - 
     (3*S[-1, 1, 1, 1, Infinity])/2) + 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((2197*S[5, Infinity])/224 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((19*S[2, Infinity]*S[3, Infinity])/16 + (533*S[5, Infinity])/64 + 
     S[1, Infinity]*((-5*S[2, Infinity]^2)/16 + (3*S[-1, 1, 1, 1, Infinity])/
        2) + 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((31*S[2, Infinity]^3)/224 - (919*S[3, Infinity]^2)/896 + 
     (17*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/16 - 6*S[5, Infinity] - 
       6*S[-1, 1, 1, 1, 1, Infinity]) - 10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((27*S[2, Infinity]^3)/35 + (131*S[3, Infinity]^2)/128 - 
     (15*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 10*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, 
    Infinity], S[1, 1, -1, -2, -1, -1, Infinity] -> 
  (41*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^6*S[1, Infinity])/48 + 
   S[-1, Infinity]^5*((-7*S[1, Infinity]^2)/240 + S[2, Infinity]/16) + 
   S[-1, Infinity]^4*((-25*S[1, Infinity]*S[2, Infinity])/48 + 
     (35*S[3, Infinity])/96) + (5721*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (368455*S[7, Infinity])/7168 + (26*S[-5, 1, 1, Infinity])/7 - 
   (155*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((17*S[1, Infinity]^2*S[2, Infinity])/24 - (53*S[2, Infinity]^2)/120 - 
     (7*S[1, Infinity]*S[3, Infinity])/8 + S[-1, 1, 1, 1, Infinity]/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-1157*S[2, Infinity]^3)/224 - 
     (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (65*S[3, Infinity]^2)/14 + (26*S[-5, -1, Infinity])/7 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]^2*((-21*S[2, Infinity]^2)/16 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((5197*S[5, Infinity])/896 - (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/32 - 
     (911*S[5, Infinity])/128 - (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((21*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (7*S[2, Infinity]*S[3, Infinity])/32 + (341*S[5, Infinity])/64 + 
     S[1, Infinity]*((301*S[2, Infinity]^2)/80 - (3*S[-1, 1, 1, 1, Infinity])/
        2) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((2141*S[2, Infinity]^3)/560 + (597*S[3, Infinity]^2)/128 - 
     (31*S[-5, -1, Infinity])/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 30*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   27*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -2, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/630 + (7*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   S[-1, Infinity]^5*((-7*S[1, Infinity]^2)/240 - S[2, Infinity]/20) + 
   S[-1, Infinity]^4*((-11*S[1, Infinity]*S[2, Infinity])/48 - 
     S[3, Infinity]/192) + (61*S[2, Infinity]^2*S[3, Infinity])/28 - 
   (482781*S[7, Infinity])/7168 + (171*S[-5, 1, 1, Infinity])/28 - 
   (165*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/3 - (113*S[2, Infinity]^2)/240 + 
     S[-1, 1, 1, 1, Infinity]/3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[1, Infinity]^2*((-911*S[5, Infinity])/128 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((3181*S[5, Infinity])/224 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/8 + (1023*S[5, Infinity])/128 + 
     S[1, Infinity]*((269*S[2, Infinity]^2)/80 - (3*S[-1, 1, 1, 1, Infinity])/
        2) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-5451*S[2, Infinity]^3)/1120 - 
     (4971*S[3, Infinity]^2)/896 + (101*S[-5, -1, Infinity])/28 + 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]^2*((-27*S[2, Infinity]^2)/16 + 
       2*S[-1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((227*S[2, Infinity]^3)/80 + (39*S[3, Infinity]^2)/8 - 
     13*S[-5, -1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   36*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -2, 1, -1, Infinity] -> 
  (-47*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^6*S[1, Infinity])/60 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/120 - S[2, Infinity]/30) + 
   (11*S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/48 - 
   (199*S[2, Infinity]^2*S[3, Infinity])/560 - (58691*S[7, Infinity])/7168 + 
   (3*S[-5, 1, 1, Infinity])/14 + (41*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-3*S[1, Infinity]^2*S[2, Infinity])/8 + 
     (13*S[2, Infinity]^2)/20 + S[-1, 1, 1, 1, Infinity]/6) + 
   S[2, Infinity]*((-5275*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    ((-99*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/32 - 
     (217*S[5, Infinity])/64 + S[1, Infinity]*((-45*S[2, Infinity]^2)/16 - 
       S[-1, 1, 1, 1, Infinity]/2) - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-16*S[2, Infinity]^3)/35 - (45*S[3, Infinity]^2)/16 + 
     (15*S[-5, -1, Infinity])/2 - 9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-1709*S[2, Infinity]^3)/1120 + 
     (1363*S[3, Infinity]^2)/896 - (99*S[-5, -1, Infinity])/28 + 
     S[1, Infinity]^2*(-S[2, Infinity]^2/80 + S[-1, 1, 1, 1, Infinity]/2) + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((279*S[5, Infinity])/64 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -2, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/2520 + (7*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/60 + S[2, Infinity]/48) + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/48 + 
     (7*S[3, Infinity])/64) - (1173*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (136197*S[7, Infinity])/7168 - (13*S[-5, 1, 1, Infinity])/7 + 
   (53*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^2*
    ((7*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (7*S[2, Infinity]*S[3, Infinity])/16 - (465*S[5, Infinity])/128 + 
     S[1, Infinity]*((-3*S[2, Infinity]^2)/5 - S[-1, 1, 1, 1, Infinity]/2)) + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/12 + 
     (17*S[2, Infinity]^2)/60 - (7*S[1, Infinity]*S[3, Infinity])/24 + 
     S[-1, 1, 1, 1, Infinity]/6) + S[-1, Infinity]*
    ((3053*S[2, Infinity]^3)/1120 - (7*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (65*S[3, Infinity]^2)/28 - 
     (13*S[-5, -1, Infinity])/7 + S[1, Infinity]^2*((3*S[2, Infinity]^2)/5 + 
       S[-1, 1, 1, 1, Infinity]/2) + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-565*S[5, Infinity])/112 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/32 + 
     (81*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((-6*S[2, Infinity]^3)/35 - (229*S[3, Infinity]^2)/128 + 
     (15*S[-5, -1, Infinity])/4 + S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 2, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/2520 - (S[-1, Infinity]^6*S[1, Infinity])/40 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 - (11*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*((11*S[1, Infinity]*S[2, Infinity])/24 - 
     (61*S[3, Infinity])/192) - (191*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (246011*S[7, Infinity])/7168 + S[-5, 1, 1, Infinity]/28 + 
   (85*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-7*S[1, Infinity]^2*S[2, Infinity])/12 + (51*S[2, Infinity]^2)/80 + 
     (7*S[1, Infinity]*S[3, Infinity])/16 - S[-1, 1, 1, 1, Infinity]/2) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 - 
     (217*S[5, Infinity])/64 + S[1, Infinity]*((-87*S[2, Infinity]^2)/20 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-607*S[5, Infinity])/448 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((245*S[5, Infinity])/32 + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-3*S[2, Infinity]^3 - (441*S[3, Infinity]^2)/64 + 
     (35*S[-5, -1, Infinity])/2 - 30*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((6023*S[2, Infinity]^3)/1120 + (3299*S[3, Infinity]^2)/
      896 - (167*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*
      ((81*S[2, Infinity]^2)/40 - 2*S[-1, 1, 1, 1, Infinity]) - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((21*S[2, Infinity]*S[3, Infinity])/16 + 
       (31*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 2, -1, 1, Infinity] -> 
  (5*S[-1, Infinity]^7)/336 - (S[-1, Infinity]^6*S[1, Infinity])/20 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/40 - (29*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*((3*S[1, Infinity]*S[2, Infinity])/8 - 
     (35*S[3, Infinity])/48) - (2501*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (510343*S[7, Infinity])/7168 - (11*S[-5, 1, 1, Infinity])/7 + 
   (173*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-7*S[1, Infinity]^2*S[2, Infinity])/24 - (11*S[2, Infinity]^2)/30 + 
     (21*S[1, Infinity]*S[3, Infinity])/16 - S[-1, 1, 1, 1, Infinity]/2) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((5251*S[2, Infinity]^3)/1120 + 
     (21*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (55*S[3, Infinity]^2)/28 - (11*S[-5, -1, Infinity])/7 + 
     S[1, Infinity]^2*((49*S[2, Infinity]^2)/40 - 
       2*S[-1, 1, 1, 1, Infinity]) - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-21*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (49*S[2, Infinity]*S[3, Infinity])/32 - (961*S[5, Infinity])/128 + 
     S[1, Infinity]*((-29*S[2, Infinity]^2)/40 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-9185*S[5, Infinity])/896 + 7*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 + 
     (521*S[5, Infinity])/64 + 7*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-1041*S[2, Infinity]^3)/280 - (111*S[3, Infinity]^2)/
      128 + (23*S[-5, -1, Infinity])/2 - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   30*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 2, 1, -1, Infinity] -> 
  (4*S[-1, Infinity]^7)/63 - (31*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/16 - (31*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*((3*S[1, Infinity]*S[2, Infinity])/8 - 
     (53*S[3, Infinity])/96) - (7619*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 + 
     (87*S[5, Infinity])/64) + (158131*S[7, Infinity])/7168 + 
   (13*S[-5, 1, 1, Infinity])/14 + (61*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-161*S[2, Infinity]^2)/240 + 
     (21*S[1, Infinity]*S[3, Infinity])/16 - (4*S[-1, 1, 1, 1, Infinity])/
      3) - (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1861*S[2, Infinity]^3)/1120 - 
     (65*S[3, Infinity]^2)/56 + (13*S[-5, -1, Infinity])/14 + 
     S[1, Infinity]^2*((-3*S[2, Infinity]^2)/5 - (3*S[-1, 1, 1, 1, Infinity])/
        2) - (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-1843*S[5, Infinity])/224 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((-21*S[1, Infinity]^2*S[3, Infinity])/
      32 - (41*S[2, Infinity]*S[3, Infinity])/32 - (279*S[5, Infinity])/64 + 
     S[1, Infinity]*((3*S[2, Infinity]^2)/2 + 3*S[-1, 1, 1, 1, Infinity]) - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((173*S[2, Infinity]^3)/560 + (69*S[3, Infinity]^2)/32 - 
     (9*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 2, 1, 1, Infinity] -> 
  (227*S[-1, Infinity]^7)/5040 - (67*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*((11*S[1, Infinity]^2)/240 - (9*S[2, Infinity])/40) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/2 - 
     (101*S[3, Infinity])/192) + (2017*S[2, Infinity]^2*S[3, Infinity])/
    2240 - (82703*S[7, Infinity])/7168 + (19*S[-5, 1, 1, Infinity])/14 - 
   (25*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-5*S[1, Infinity]^2*S[2, Infinity])/24 + (7*S[2, Infinity]^2)/48 + 
     (49*S[1, Infinity]*S[3, Infinity])/48 - (4*S[-1, 1, 1, 1, Infinity])/
      3) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-7*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (19*S[2, Infinity]*S[3, Infinity])/16 - (217*S[5, Infinity])/128 + 
     S[1, Infinity]*((-7*S[2, Infinity]^2)/16 + 3*S[-1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/16 + (81*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((5801*S[5, Infinity])/896 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((163*S[2, Infinity]^3)/560 - (209*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-13*S[2, Infinity]^3)/1120 + (1189*S[3, Infinity]^2)/896 - 
     (53*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*(S[2, Infinity]^2/16 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-35*S[2, Infinity]*S[3, Infinity])/16 + 
       (93*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -2, -1, -1, Infinity] -> S[-1, Infinity]^7/420 - 
   (S[-1, Infinity]^6*S[1, Infinity])/36 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/30 + S[2, Infinity]/240) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/36 + (S[1, Infinity]*S[2, Infinity])/
      16 - (13*S[3, Infinity])/288) + (293*S[2, Infinity]^2*S[3, Infinity])/
    336 + S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/4 - 
     S[2, Infinity]^2/8 + (7*S[1, Infinity]*S[3, Infinity])/24) - 
   (158127*S[7, Infinity])/7168 + (2*S[-5, 1, 1, Infinity])/7 - 
   (55*S[5, -1, -1, Infinity])/28 + S[1, Infinity]^3*
    ((7*S[2, Infinity]^2)/30 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/12 + 
   S[1, Infinity]^2*((-99*S[5, Infinity])/64 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((3847*S[5, Infinity])/896 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/12 - 
     (21*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (43*S[2, Infinity]*S[3, Infinity])/96 + S[1, Infinity]*
      ((-21*S[2, Infinity]^2)/20 + S[-1, 1, 1, 1, Infinity]/2) - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (S[2, Infinity]^3/14 - (107*S[3, Infinity]^2)/64 + 
     (19*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-1637*S[2, Infinity]^3)/1120 + (7*S[1, Infinity]^3*S[3, Infinity])/16 + 
     (109*S[3, Infinity]^2)/224 - (55*S[-5, -1, Infinity])/28 + 
     S[1, Infinity]^2*((-53*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/
        2) + S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/8 + 
       (279*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -2, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/240 + S[2, Infinity]/48) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/48 - (S[1, Infinity]*S[2, Infinity])/
      12 - S[3, Infinity]/192) + (93*S[2, Infinity]^2*S[3, Infinity])/40 + 
   S[-1, Infinity]^2*((-2*S[1, Infinity]*S[2, Infinity]^2)/5 + 
     (7*S[2, Infinity]*S[3, Infinity])/8) - (8415*S[7, Infinity])/1024 - 
   (5*S[-5, 1, 1, Infinity])/4 - (5*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/24 + 
     S[2, Infinity]^2/12 - (7*S[1, Infinity]*S[3, Infinity])/48 + 
     S[-1, 1, 1, 1, Infinity]/6) + S[1, Infinity]^3*
    ((13*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/2) + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((43*S[1, Infinity]^2*S[2, Infinity]^2)/80 + 
     (2127*S[2, Infinity]^3)/1120 - (7*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (25*S[3, Infinity]^2)/16 - 
     (5*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]^2*((81*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    ((551*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((209*S[2, Infinity]^3)/560 - (109*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, 1, 1, 
    Infinity], S[1, 1, 1, -2, 1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/840 + (13*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/240 + (7*S[2, Infinity])/120) + 
   (S[1, Infinity]^3*S[2, Infinity]^2)/80 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/16 + (13*S[3, Infinity])/192) + 
   (71*S[2, Infinity]^2*S[3, Infinity])/160 + (349*S[7, Infinity])/256 + 
   S[-1, Infinity]*((S[1, Infinity]^2*S[2, Infinity]^2)/40 + 
     (11*S[2, Infinity]^3)/56 + (7*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (5*S[3, Infinity]^2)/8 - S[-5, -1, Infinity]/2) - 
   S[-5, 1, 1, Infinity]/2 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/24 - S[2, Infinity]^2/24 - 
     (7*S[1, Infinity]*S[3, Infinity])/48 + S[-1, 1, 1, 1, Infinity]/2) + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((S[1, Infinity]^3*S[2, Infinity])/8 + (S[2, Infinity]*S[3, Infinity])/
      16 - (31*S[5, Infinity])/32 + S[1, Infinity]*
      ((13*S[2, Infinity]^2)/20 - S[-1, 1, 1, 1, Infinity]/2) - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*((25*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[1, Infinity]*((21*S[2, Infinity]^3)/80 + 
     (17*S[3, Infinity]^2)/128 - S[-5, -1, Infinity]/2 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -2, 1, 1, Infinity] -> -S[-1, Infinity]^7/126 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 + S[2, Infinity]/12) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/144 - (S[1, Infinity]*S[2, Infinity])/
      24 + (29*S[3, Infinity])/288) - (181*S[2, Infinity]^2*S[3, Infinity])/
    480 - (155*S[7, Infinity])/256 + S[-5, 1, 1, Infinity]/2 + 
   S[1, Infinity]^3*(S[2, Infinity]^2/48 + S[-1, 1, 1, 1, Infinity]/6) + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 - 
     S[2, Infinity]^2/4 + S[-1, 1, 1, 1, Infinity]/3) - 
   (2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]*((69*S[2, Infinity]^3)/560 + (49*S[3, Infinity]^2)/128 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/24 + 
     (S[1, Infinity]*S[2, Infinity]^2)/4 - 
     (7*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (79*S[2, Infinity]*S[3, Infinity])/96 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((25*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[2, Infinity]*((57*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((7*S[1, Infinity]^3*S[3, Infinity])/48 + 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (7*S[3, Infinity]^2)/12 - (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 2, -1, -1, Infinity] -> (-11*S[-1, Infinity]^7)/420 + 
   (S[-1, Infinity]^6*S[1, Infinity])/18 + S[-1, Infinity]^5*
    (-S[1, Infinity]^2/60 + (11*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/144 - 
     (3*S[1, Infinity]*S[2, Infinity])/16 + (71*S[3, Infinity])/576) + 
   (587*S[2, Infinity]^2*S[3, Infinity])/240 + 
   (551*S[2, Infinity]*S[5, Infinity])/128 - (8415*S[7, Infinity])/1024 - 
   (5*S[-5, 1, 1, Infinity])/4 - (5*S[5, -1, -1, Infinity])/4 + 
   S[1, Infinity]^3*(S[2, Infinity]^2/240 - S[-1, 1, 1, 1, Infinity]/6) + 
   (55*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/24 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/6 + 
     (3*S[2, Infinity]^2)/8 - (7*S[1, Infinity]*S[3, Infinity])/12 + 
     S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((53*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (2267*S[2, Infinity]^3)/
      1120 - (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (25*S[3, Infinity]^2)/16 - (5*S[-5, -1, Infinity])/4 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((5*S[1, Infinity]^3*S[2, Infinity])/24 + 
     (7*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (187*S[2, Infinity]*S[3, Infinity])/96 + S[1, Infinity]*
      ((21*S[2, Infinity]^2)/20 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/16 + (81*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((59*S[2, Infinity]^3)/112 + (11*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 2, -1, 1, Infinity] -> (-31*S[-1, Infinity]^7)/840 + 
   (67*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/16 + (11*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/36 - (5*S[1, Infinity]*S[2, Infinity])/
      12 + (115*S[3, Infinity])/288) - (953*S[2, Infinity]^2*S[3, Infinity])/
    840 + S[1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
     (87*S[5, Infinity])/64) - (12743*S[7, Infinity])/7168 - 
   (2*S[-5, 1, 1, Infinity])/7 - (15*S[5, -1, -1, Infinity])/28 + 
   S[1, Infinity]^3*(-S[2, Infinity]^2/3 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (41*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/24 + 
   S[-1, Infinity]^3*((3*S[1, Infinity]^2*S[2, Infinity])/8 + 
     S[2, Infinity]^2/6 - (49*S[1, Infinity]*S[3, Infinity])/48 + 
     (3*S[-1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    (-(S[1, Infinity]^3*S[2, Infinity])/24 + 
     (35*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (23*S[2, Infinity]*S[3, Infinity])/48 + (31*S[5, Infinity])/32 + 
     S[1, Infinity]*((13*S[2, Infinity]^2)/20 - 3*S[-1, 1, 1, 1, Infinity]) - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((2635*S[5, Infinity])/896 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-51*S[2, Infinity]^3)/35 + (73*S[3, Infinity]^2)/64 - 
     (11*S[-5, -1, Infinity])/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1907*S[2, Infinity]^3)/1120 - (7*S[1, Infinity]^3*S[3, Infinity])/16 - 
     (333*S[3, Infinity]^2)/224 - S[-5, -1, Infinity]/28 + 
     S[1, Infinity]^2*((51*S[2, Infinity]^2)/80 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/16 - (93*S[5, Infinity])/64 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 2, 1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/2520 + (19*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*((-3*S[1, Infinity]^2)/80 - S[2, Infinity]/60) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/48 - (S[1, Infinity]*S[2, Infinity])/
      48 + (5*S[3, Infinity])/64) - (2*S[2, Infinity]^2*S[3, Infinity])/5 - 
   15*S[7, Infinity] + S[1, Infinity]^3*(-S[2, Infinity]^2/5 - 
     S[-1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/8 + S[2, Infinity]^2/8 - 
     (7*S[1, Infinity]*S[3, Infinity])/48 + S[-1, 1, 1, 1, Infinity]/2) - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + S[1, Infinity]^2*
    (-3*S[5, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-3*S[5, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/4 + 
     (7*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (9*S[2, Infinity]*S[3, Infinity])/32 + S[1, Infinity]*
      ((-23*S[2, Infinity]^2)/20 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-101*S[2, Infinity]^3)/35 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-122*S[2, Infinity]^3)/35 - 
     (7*S[1, Infinity]^3*S[3, Infinity])/48 - (7*S[3, Infinity]^2)/24 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]^2*((-6*S[2, Infinity]^2)/5 + (3*S[-1, 1, 1, 1, Infinity])/
        2) + S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
       6*S[-1, 1, 1, 1, 1, Infinity]) + 10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 2, 1, 1, Infinity] -> 
  (S[1, Infinity]^3*S[2, Infinity]^2)/5 + 
   (101*S[1, Infinity]*S[2, Infinity]^3)/35 + 
   (2*S[2, Infinity]^2*S[3, Infinity])/5 - 3*S[1, Infinity]^2*
    S[5, Infinity] - 3*S[2, Infinity]*S[5, Infinity] - 15*S[7, Infinity], 
 S[1, -1, -1, -1, -2, -1, Infinity] -> (-41*S[-1, Infinity]^7)/840 + 
   (23*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/12 + 
     (25*S[3, Infinity])/96) + (261*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (2637*S[2, Infinity]*S[5, Infinity])/128 - (10619*S[7, Infinity])/512 - 
   (23*S[-5, 1, 1, Infinity])/4 - 7*S[5, -1, -1, Infinity] + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*((81*S[2, Infinity]^2)/80 - 
     (13*S[1, Infinity]*S[3, Infinity])/24 + (4*S[-1, 1, 1, 1, Infinity])/
      3) + S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/2 + 
     (27*S[5, Infinity])/64 + S[1, Infinity]*((-39*S[2, Infinity]^2)/40 - 
       2*S[-1, 1, 1, 1, Infinity]) - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-249*S[2, Infinity]^3)/70 - (9*S[3, Infinity]^2)/8 + 
     4*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((3677*S[2, Infinity]^3)/560 + (63*S[3, Infinity]^2)/16 - 
     8*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*(-2*S[2, Infinity]*S[3, Infinity] + 
       (101*S[5, Infinity])/64 + 5*S[-1, 1, 1, 1, 1, Infinity]) + 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   22*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -1, -2, 1, Infinity] -> 
  (-191*S[-1, Infinity]^7)/5040 + (13*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((-3*S[1, Infinity]*S[2, Infinity])/16 + 
     (25*S[3, Infinity])/96) + (2097*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (5323*S[2, Infinity]*S[5, Infinity])/448 - (108251*S[7, Infinity])/3584 - 
   (46*S[-5, 1, 1, Infinity])/7 - (57*S[5, -1, -1, Infinity])/14 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*((33*S[2, Infinity]^2)/80 - 
     (13*S[1, Infinity]*S[3, Infinity])/24 + (4*S[-1, 1, 1, 1, Infinity])/
      3) + S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/2 - 
     (411*S[5, Infinity])/128 + S[1, Infinity]*((-49*S[2, Infinity]^2)/80 - 
       2*S[-1, 1, 1, 1, Infinity]) - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((229*S[2, Infinity]^3)/112 + (195*S[3, Infinity]^2)/28 - 
     (46*S[-5, -1, Infinity])/7 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-13*S[2, Infinity]*S[3, Infinity])/8 + 
       (101*S[5, Infinity])/64 + 5*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-65*S[2, Infinity]^3)/56 - (25*S[3, Infinity]^2)/8 + 
     (7*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -1, 2, -1, Infinity] -> 
  (3*S[-1, Infinity]^7)/70 - (17*S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (S[-1, Infinity]^5*S[2, Infinity])/80 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 + (11*S[3, Infinity])/96) - 
   (113*S[2, Infinity]^2*S[3, Infinity])/160 - (14191*S[7, Infinity])/256 + 
   (37*S[-5, 1, 1, Infinity])/4 - 4*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((-53*S[2, Infinity]^2)/60 + 
     (S[1, Infinity]*S[3, Infinity])/24 - (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1503*S[2, Infinity]^3)/280 - (177*S[3, Infinity]^2)/
      16 + (37*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((S[2, Infinity]*S[3, Infinity])/2 - (61*S[5, Infinity])/8 - 
       8*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((825*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*(-4*S[2, Infinity]*S[3, Infinity] + 
     (139*S[5, Infinity])/8 + S[1, Infinity]*((9*S[2, Infinity]^2)/10 + 
       2*S[-1, 1, 1, 1, Infinity]) + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((487*S[2, Infinity]^3)/140 + (243*S[3, Infinity]^2)/64 - 
     10*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     22*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   41*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -1, 2, 1, Infinity] -> 
  (149*S[-1, Infinity]^7)/5040 - (5*S[-1, Infinity]^6*S[1, Infinity])/144 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/48 + S[-1, Infinity]^4*
    ((7*S[1, Infinity]*S[2, Infinity])/48 - S[3, Infinity]/96) + 
   (1857*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (126299*S[7, Infinity])/1792 + (59*S[-5, 1, 1, Infinity])/7 - 
   (127*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((3*S[2, Infinity]^2)/8 + (S[1, Infinity]*S[3, Infinity])/24 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((23715*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/4 + (2751*S[5, Infinity])/128 + 
     S[1, Infinity]*((-21*S[2, Infinity]^2)/80 + 
       2*S[-1, 1, 1, 1, Infinity]) + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-16*S[2, Infinity]^3)/35 - (1807*S[3, Infinity]^2)/224 + 
     (89*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/8 - 
       (61*S[5, Infinity])/8 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((163*S[2, Infinity]^3)/140 + (117*S[3, Infinity]^2)/64 - 
     (19*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     13*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   37*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, -2, -1, Infinity] -> 
  (83*S[-1, Infinity]^7)/2520 - (S[-1, Infinity]^6*S[1, Infinity])/30 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/12 + (7*S[3, Infinity])/64) + 
   (4733*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (276919*S[7, Infinity])/3584 + (34*S[-5, 1, 1, Infinity])/7 - 
   (93*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((11*S[2, Infinity]^2)/30 - (5*S[1, Infinity]*S[3, Infinity])/48 - 
     S[-1, 1, 1, 1, Infinity]) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[-1, Infinity]*((-249*S[2, Infinity]^3)/80 - 
     (85*S[3, Infinity]^2)/14 + (34*S[-5, -1, Infinity])/7 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*(S[2, Infinity]*S[3, Infinity] - (457*S[5, Infinity])/
        64 - 7*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((19759*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/8 + (1081*S[5, Infinity])/64 + 
     S[1, Infinity]*((31*S[2, Infinity]^2)/40 + (3*S[-1, 1, 1, 1, Infinity])/
        2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((1943*S[2, Infinity]^3)/560 + (361*S[3, Infinity]^2)/128 - 
     (33*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 21*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   40*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, -2, 1, Infinity] -> 
  (11*S[-1, Infinity]^7)/560 - (S[-1, Infinity]^6*S[1, Infinity])/48 - 
   (29*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/48 - 
     S[3, Infinity]/64) + (10167*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (565965*S[7, Infinity])/7168 + (39*S[-5, 1, 1, Infinity])/7 - 
   (285*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (S[2, Infinity]^2/2 - (5*S[1, Infinity]*S[3, Infinity])/48 - 
     S[-1, 1, 1, 1, Infinity]) + (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[2, Infinity]*((12639*S[5, Infinity])/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/8 + (2689*S[5, Infinity])/128 + 
     S[1, Infinity]*((-31*S[2, Infinity]^2)/80 + (3*S[-1, 1, 1, 1, Infinity])/
        2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((123*S[2, Infinity]^3)/1120 - (1245*S[3, Infinity]^2)/
      224 + (51*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-5*S[2, Infinity]*S[3, Infinity])/16 - 
       (457*S[5, Infinity])/64 - 7*S[-1, 1, 1, 1, 1, Infinity]) + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((443*S[2, Infinity]^3)/560 + (181*S[3, Infinity]^2)/128 - 
     (9*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   36*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, 2, -1, Infinity] -> 
  (13*S[-1, Infinity]^7)/630 - (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   (5*S[-1, Infinity]^5*S[2, Infinity])/48 + S[-1, Infinity]^4*
    ((5*S[1, Infinity]*S[2, Infinity])/24 - (7*S[3, Infinity])/32) - 
   (1017*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (3603*S[2, Infinity]*S[5, Infinity])/896 + (178827*S[7, Infinity])/7168 + 
   (51*S[-5, 1, 1, Infinity])/14 + (39*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-79*S[2, Infinity]^2)/80 + 
     (23*S[1, Infinity]*S[3, Infinity])/48 - S[-1, 1, 1, 1, Infinity]) - 
   (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-73*S[2, Infinity]*S[3, Infinity])/32 + 
     (151*S[5, Infinity])/64 + S[1, Infinity]*(-S[2, Infinity]^2/10 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-31*S[2, Infinity]^3)/35 - (25*S[3, Infinity]^2)/32 + 
     (3*S[-5, -1, Infinity])/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((719*S[2, Infinity]^3)/1120 - (1081*S[3, Infinity]^2)/
      448 + (81*S[-5, -1, Infinity])/28 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((S[2, Infinity]*S[3, Infinity])/8 - (23*S[5, Infinity])/64 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, 2, 1, Infinity] -> 
  (53*S[-1, Infinity]^7)/1680 - (31*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (5*S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/48 - 
   (1983*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (7635*S[2, Infinity]*S[5, Infinity])/448 + (162657*S[7, Infinity])/3584 + 
   (30*S[-5, 1, 1, Infinity])/7 + (81*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-37*S[2, Infinity]^2)/80 + 
     (23*S[1, Infinity]*S[3, Infinity])/48 - S[-1, 1, 1, 1, Infinity]) - 
   (69*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-711*S[2, Infinity]^3)/560 - (75*S[3, Infinity]^2)/14 + 
     (30*S[-5, -1, Infinity])/7 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((23*S[2, Infinity]*S[3, Infinity])/16 - 
       (23*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((-115*S[2, Infinity]*S[3, Infinity])/32 - 
     (163*S[5, Infinity])/128 + S[1, Infinity]*((21*S[2, Infinity]^2)/80 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((3*S[2, Infinity]^3)/7 + (87*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, -2, -1, Infinity] -> 
  (-29*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/40 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/20 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/4 + (19*S[3, Infinity])/192) + 
   (1123*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (140547*S[7, Infinity])/7168 + (51*S[-5, 1, 1, Infinity])/28 - 
   (61*S[5, -1, -1, Infinity])/28 - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]^3*((-151*S[2, Infinity]^2)/120 - 
     (5*S[1, Infinity]*S[3, Infinity])/48 + (4*S[-1, 1, 1, 1, Infinity])/3) + 
   S[1, Infinity]*((191*S[2, Infinity]^3)/280 - (5*S[3, Infinity]^2)/64 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 - 
     (159*S[5, Infinity])/64 + S[1, Infinity]*((51*S[2, Infinity]^2)/40 - 
       2*S[-1, 1, 1, 1, Infinity]) - 5*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1621*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-2839*S[2, Infinity]^3)/1120 - (255*S[3, Infinity]^2)/112 + 
     (51*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((S[2, Infinity]*S[3, Infinity])/8 + (221*S[5, Infinity])/32 + 
       7*S[-1, 1, 1, 1, 1, Infinity])) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, -2, 1, Infinity] -> 
  (-25*S[-1, Infinity]^7)/1008 + (3*S[-1, Infinity]^6*S[1, Infinity])/80 + 
   (17*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((-3*S[1, Infinity]*S[2, Infinity])/16 + 
     (19*S[3, Infinity])/192) - (3*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (45419*S[7, Infinity])/3584 + (19*S[-5, 1, 1, Infinity])/28 - 
   (4*S[5, -1, -1, Infinity])/7 - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]^3*((-3*S[2, Infinity]^2)/8 - 
     (5*S[1, Infinity]*S[3, Infinity])/48 + (4*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 - 
     (659*S[5, Infinity])/128 + S[1, Infinity]*((39*S[2, Infinity]^2)/80 - 
       2*S[-1, 1, 1, 1, Infinity]) - 5*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((4143*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((-101*S[2, Infinity]^3)/140 - (95*S[3, Infinity]^2)/64 + 
     (15*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-9*S[2, Infinity]^3)/56 + (125*S[3, Infinity]^2)/224 - 
     (43*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((5*S[2, Infinity]*S[3, Infinity])/16 + (221*S[5, Infinity])/32 + 
       7*S[-1, 1, 1, 1, 1, Infinity]) + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, 2, -1, Infinity] -> 
  (17*S[-1, Infinity]^7)/630 - (S[-1, Infinity]^6*S[1, Infinity])/24 - 
   (59*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((3*S[1, Infinity]*S[2, Infinity])/8 - 
     (73*S[3, Infinity])/192) - (267*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (12339*S[2, Infinity]*S[5, Infinity])/896 + (31799*S[7, Infinity])/896 + 
   (11*S[-5, 1, 1, Infinity])/28 + (65*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((111*S[2, Infinity]^2)/80 + 
     (23*S[1, Infinity]*S[3, Infinity])/48 - (4*S[-1, 1, 1, 1, Infinity])/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/16 - 
     (221*S[5, Infinity])/64 + S[1, Infinity]*((-27*S[2, Infinity]^2)/20 + 
       2*S[-1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-27*S[2, Infinity]^3)/40 - (163*S[3, Infinity]^2)/64 + 
     6*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((139*S[2, Infinity]^3)/70 + (1971*S[3, Infinity]^2)/448 - 
     (75*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((11*S[2, Infinity]*S[3, Infinity])/8 - (85*S[5, Infinity])/64 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, 2, 1, Infinity] -> 
  (191*S[-1, Infinity]^7)/5040 - (37*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (5*S[-1, Infinity]^5*S[2, Infinity])/48 + S[-1, Infinity]^4*
    ((7*S[1, Infinity]*S[2, Infinity])/48 - (49*S[3, Infinity])/192) - 
   (2839*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (4667*S[2, Infinity]*S[5, Infinity])/448 + (252857*S[7, Infinity])/7168 + 
   (71*S[-5, 1, 1, Infinity])/28 + (99*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-27*S[2, Infinity]^2)/80 + 
     (23*S[1, Infinity]*S[3, Infinity])/48 - (4*S[-1, 1, 1, 1, Infinity])/
      3) - (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-33*S[2, Infinity]^3)/1120 - (355*S[3, Infinity]^2)/
      112 + (71*S[-5, -1, Infinity])/28 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((19*S[2, Infinity]*S[3, Infinity])/16 - (85*S[5, Infinity])/64 - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((-29*S[2, Infinity]*S[3, Infinity])/16 - (39*S[5, Infinity])/128 + 
     S[1, Infinity]*((11*S[2, Infinity]^2)/80 + 2*S[-1, 1, 1, 1, Infinity]) + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((61*S[2, Infinity]^3)/280 + (75*S[3, Infinity]^2)/32 + 
     S[-5, -1, Infinity]/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 5*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, -2, -1, Infinity] -> (-19*S[-1, Infinity]^7)/840 + 
   (S[-1, Infinity]^6*S[1, Infinity])/36 + (S[-1, Infinity]^5*S[2, Infinity])/
    40 + S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 + 
     (35*S[3, Infinity])/192) - (243*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (323*S[2, Infinity]*S[5, Infinity])/112 + (3873*S[7, Infinity])/224 - 
   (57*S[-5, 1, 1, Infinity])/14 + (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((91*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]*S[3, Infinity])/4 + S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((53*S[2, Infinity]*S[3, Infinity])/32 - 
     (157*S[5, Infinity])/32 + S[1, Infinity]*((-29*S[2, Infinity]^2)/40 - 
       S[-1, 1, 1, 1, Infinity]/2) - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((-927*S[2, Infinity]^3)/560 - (107*S[3, Infinity]^2)/128 + 
     (13*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((459*S[2, Infinity]^3)/140 + (993*S[3, Infinity]^2)/224 - 
     (177*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/8 + S[5, Infinity]/8 + 
       S[-1, 1, 1, 1, 1, Infinity]) + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, -2, 1, Infinity] -> 
  (-59*S[-1, Infinity]^7)/5040 + (13*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (S[-1, Infinity]^5*S[2, Infinity])/16 + S[-1, Infinity]^4*
    ((-5*S[1, Infinity]*S[2, Infinity])/48 + (13*S[3, Infinity])/192) + 
   (3743*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (3711*S[2, Infinity]*S[5, Infinity])/896 - (3091*S[7, Infinity])/448 - 
   (89*S[-5, 1, 1, Infinity])/28 - (10*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]*S[3, Infinity])/4 + S[-1, 1, 1, 1, Infinity]/3) + 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((27*S[2, Infinity]*S[3, Infinity])/32 - 
     (225*S[5, Infinity])/128 + S[1, Infinity]*((-19*S[2, Infinity]^2)/80 - 
       S[-1, 1, 1, 1, Infinity]/2) - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((167*S[2, Infinity]^3)/112 + (375*S[3, Infinity]^2)/112 - 
     (89*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/8 + 
       S[5, Infinity]/8 + S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-243*S[2, Infinity]^3)/560 - (111*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, 2, -1, Infinity] -> 
  (23*S[-1, Infinity]^7)/1260 - (S[-1, Infinity]^6*S[1, Infinity])/60 - 
   (37*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/6 - 
     (37*S[3, Infinity])/96) + (65*S[2, Infinity]^2*S[3, Infinity])/56 - 
   (75135*S[7, Infinity])/3584 + (15*S[-5, 1, 1, Infinity])/14 - 
   (13*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-31*S[2, Infinity]^2)/120 + (S[1, Infinity]*S[3, Infinity])/3 + 
     S[-1, 1, 1, 1, Infinity]/3) + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/16 + 
     (27*S[5, Infinity])/64 + S[1, Infinity]*(-S[2, Infinity]^2/10 - 
       S[-1, 1, 1, 1, Infinity]/2) - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1467*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-109*S[2, Infinity]^3)/80 - (61*S[3, Infinity]^2)/56 + 
     (15*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      (-(S[2, Infinity]*S[3, Infinity]) + 4*S[5, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-13*S[2, Infinity]^3)/35 - (3*S[3, Infinity]^2)/4 + 
     2*S[-5, -1, Infinity] - (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, 2, 1, Infinity] -> 
  (5*S[-1, Infinity]^7)/1008 - (S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (7*S[3, Infinity])/32) - (95*S[2, Infinity]^2*S[3, Infinity])/112 - 
   (2679*S[7, Infinity])/1792 + (5*S[-5, 1, 1, Infinity])/28 + 
   (13*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((S[1, Infinity]*S[3, Infinity])/3 + S[-1, 1, 1, 1, Infinity]/3) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 - 
     (287*S[5, Infinity])/128 + S[1, Infinity]*((9*S[2, Infinity]^2)/80 - 
       S[-1, 1, 1, 1, Infinity]/2) - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-2899*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((-23*S[2, Infinity]^3)/35 - (55*S[3, Infinity]^2)/32 + 
     (9*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-39*S[2, Infinity]^3)/80 + (223*S[3, Infinity]^2)/224 - 
     S[-5, -1, Infinity]/14 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity]) + 4*S[5, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^7/45 + (S[-1, Infinity]^6*S[1, Infinity])/240 + 
   S[-1, Infinity]^5*((3*S[1, Infinity]^2)/80 + (11*S[2, Infinity])/60) + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/16 - 
     (7*S[3, Infinity])/16) - (2551*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (20413*S[7, Infinity])/448 - (15*S[-5, 1, 1, Infinity])/7 + 
   (47*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-5*S[1, Infinity]^2*S[2, Infinity])/12 - (311*S[2, Infinity]^2)/240 + 
     (13*S[1, Infinity]*S[3, Infinity])/12 + S[-1, 1, 1, 1, Infinity]/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((25*S[2, Infinity]^3)/14 - S[1, Infinity]*S[2, Infinity]*
      S[3, Infinity] + (75*S[3, Infinity]^2)/28 - (15*S[-5, -1, Infinity])/
      7 + S[1, Infinity]^2*((41*S[2, Infinity]^2)/80 - 
       2*S[-1, 1, 1, 1, Infinity]) - 5*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-13*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (23*S[2, Infinity]*S[3, Infinity])/16 - (1147*S[5, Infinity])/128 + 
     S[1, Infinity]*((-91*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
        2) + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/16 + 
     (845*S[5, Infinity])/128 + (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-3165*S[5, Infinity])/448 + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-261*S[2, Infinity]^3)/80 - (7*S[3, Infinity]^2)/4 + 
     7*S[-5, -1, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     18*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   21*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, -2, 1, Infinity] -> 
  (31*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^6*S[1, Infinity])/20 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/16 + (11*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/4 - 
     (5*S[3, Infinity])/16) - (3251*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (205283*S[7, Infinity])/3584 - (22*S[-5, 1, 1, Infinity])/7 + 
   (55*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-7*S[1, Infinity]^2*S[2, Infinity])/24 - (167*S[2, Infinity]^2)/240 + 
     (13*S[1, Infinity]*S[3, Infinity])/12 + S[-1, 1, 1, 1, Infinity]/3) - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-13*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (7*S[2, Infinity]*S[3, Infinity])/8 - (2573*S[5, Infinity])/128 + 
     S[1, Infinity]*((29*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/2) - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((-8513*S[5, Infinity])/448 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 + 
     (101*S[5, Infinity])/128 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-493*S[2, Infinity]^3)/560 - (13*S[3, Infinity]^2)/4 + 
     (15*S[-5, -1, Infinity])/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 15*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-59*S[2, Infinity]^3)/560 + (38*S[3, Infinity]^2)/7 - 
     (51*S[-5, -1, Infinity])/14 + S[1, Infinity]^2*(-S[2, Infinity]^2/80 - 
       2*S[-1, 1, 1, 1, Infinity]) - 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity]) + 
       (93*S[5, Infinity])/8 + 6*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   25*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, 2, -1, Infinity] -> 
  (11*S[-1, Infinity]^7)/630 - (7*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/80 - (7*S[2, Infinity])/30) - 
   (S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/24 - 
   (95*S[2, Infinity]^2*S[3, Infinity])/112 + (73889*S[7, Infinity])/3584 - 
   (11*S[-5, 1, 1, Infinity])/7 + (69*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/6 + 
     (247*S[2, Infinity]^2)/240 - (S[1, Infinity]*S[3, Infinity])/12 + 
     S[-1, 1, 1, 1, Infinity]/6) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-8285*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/16 - (61*S[5, Infinity])/16 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((S[1, Infinity]^2*S[3, Infinity])/16 + (5*S[2, Infinity]*S[3, Infinity])/
      16 - (589*S[5, Infinity])/64 + S[1, Infinity]*
      ((29*S[2, Infinity]^2)/20 - S[-1, 1, 1, 1, Infinity]/2) - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-283*S[2, Infinity]^3)/140 + (783*S[3, Infinity]^2)/224 - 
     (11*S[-5, -1, Infinity])/7 + S[1, Infinity]^2*
      ((-47*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/2) + 
     5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((5*S[2, Infinity]*S[3, Infinity])/2 + 
       (93*S[5, Infinity])/16 + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((86*S[2, Infinity]^3)/35 + (25*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/4 + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, 2, 1, Infinity] -> 
  (-5*S[-1, Infinity]^7)/1008 + (S[-1, Infinity]^6*S[1, Infinity])/90 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/240 - S[2, Infinity]/240) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/48 - 
     (7*S[3, Infinity])/32) + (321*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (23769*S[7, Infinity])/3584 - (17*S[-5, 1, 1, Infinity])/7 - 
   (13*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^2*
    ((S[1, Infinity]^2*S[3, Infinity])/16 + 
     (13*S[2, Infinity]*S[3, Infinity])/8 - (93*S[5, Infinity])/64 + 
     S[1, Infinity]*((-3*S[2, Infinity]^2)/8 - S[-1, 1, 1, 1, Infinity]/2)) + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/24 + 
     (59*S[2, Infinity]^2)/240 - (S[1, Infinity]*S[3, Infinity])/12 + 
     S[-1, 1, 1, 1, Infinity]/6) + 6*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((-9*S[2, Infinity]^3)/140 - 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (85*S[3, Infinity]^2)/28 - (17*S[-5, -1, Infinity])/7 + 
     S[1, Infinity]^2*((-9*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
        2) + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 - 
     (29*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((795*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((6*S[2, Infinity]^3)/35 + (123*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/4 + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, -2, -1, Infinity] -> 
  (61*S[-1, Infinity]^7)/2520 - (7*S[-1, Infinity]^6*S[1, Infinity])/144 + 
   S[-1, Infinity]^5*((7*S[1, Infinity]^2)/240 - S[2, Infinity]/15) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (5*S[3, Infinity])/64) - (313*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/12 - 
     (11*S[2, Infinity]^2)/30 + (5*S[1, Infinity]*S[3, Infinity])/24) + 
   (42227*S[7, Infinity])/1792 - (19*S[-5, 1, 1, Infinity])/14 + 
   (36*S[5, -1, -1, Infinity])/7 + S[2, Infinity]*
    ((-16917*S[5, Infinity])/896 - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/32 - 
     (457*S[5, Infinity])/128 - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((73*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (5*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (3*S[2, Infinity]*S[3, Infinity])/2 - (1147*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-31*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (7*S[2, Infinity]^3)/2 + 
     (501*S[3, Infinity]^2)/448 + (15*S[-5, -1, Infinity])/7 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/8 + 
       (341*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((8*S[2, Infinity]^3)/5 + (201*S[3, Infinity]^2)/128 - 
     (17*S[-5, -1, Infinity])/4 + 11*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, -2, 1, Infinity] -> 
  S[-1, Infinity]^7/560 - (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/80 - S[2, Infinity]/40) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/8 - 
     (5*S[3, Infinity])/64) - (1593*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/8 + 
     (13*S[2, Infinity]^2)/80 + (5*S[1, Infinity]*S[3, Infinity])/24) + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (5*S[1, Infinity]^2*S[3, Infinity])/32 - (93*S[5, Infinity])/64) + 
   (46947*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((-9*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (191*S[2, Infinity]^3)/160 - 
     (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (15*S[3, Infinity]^2)/112 + (11*S[-5, -1, Infinity])/28) + 
   (11*S[-5, 1, 1, Infinity])/28 + (53*S[5, -1, -1, Infinity])/28 + 
   S[2, Infinity]*((-1459*S[5, Infinity])/224 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/32 - (29*S[5, Infinity])/32 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((113*S[2, Infinity]^3)/140 + (47*S[3, Infinity]^2)/128 - 
     (3*S[-5, -1, Infinity])/4 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 2, -1, Infinity] -> 
  (-5*S[-1, Infinity]^7)/72 + (101*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*((-19*S[1, Infinity]^2)/240 + (17*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/12 + 
     S[3, Infinity]/4) + (1423*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (8273*S[7, Infinity])/7168 - (55*S[-5, 1, 1, Infinity])/14 - 
   (33*S[5, -1, -1, Infinity])/28 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/6 + 
     (3*S[2, Infinity]^2)/5 - (23*S[1, Infinity]*S[3, Infinity])/24 + 
     (3*S[-1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((745*S[2, Infinity]^3)/224 - (11*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 + (261*S[3, Infinity]^2)/56 - 
     (55*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]^2*((7*S[2, Infinity]^2)/10 + 
       (3*S[-1, 1, 1, 1, Infinity])/2)) + S[-1, Infinity]^2*
    ((23*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (111*S[2, Infinity]*S[3, Infinity])/32 - (93*S[5, Infinity])/32 + 
     S[1, Infinity]*((-121*S[2, Infinity]^2)/80 - 
       3*S[-1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*((19*S[2, Infinity]*S[3, Infinity])/32 + 
     (35*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1649*S[5, Infinity])/448 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((-479*S[2, Infinity]^3)/280 - (177*S[3, Infinity]^2)/64 + 
     (17*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 2, 1, Infinity] -> 
  (-23*S[-1, Infinity]^7)/560 + (31*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*((-13*S[1, Infinity]^2)/240 + (23*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*((-23*S[1, Infinity]*S[2, Infinity])/48 + 
     (3*S[3, Infinity])/8) - (3603*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (56449*S[7, Infinity])/1792 - (127*S[-5, 1, 1, Infinity])/28 + 
   (26*S[5, -1, -1, Infinity])/7 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((7*S[1, Infinity]^2*S[2, Infinity])/24 - 
     (9*S[2, Infinity]^2)/80 - (23*S[1, Infinity]*S[3, Infinity])/24 + 
     (3*S[-1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((23*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (3*S[2, Infinity]*S[3, Infinity])/32 - (1147*S[5, Infinity])/128 + 
     S[1, Infinity]*((29*S[2, Infinity]^2)/80 - 3*S[-1, 1, 1, 1, Infinity]) - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((-9951*S[5, Infinity])/896 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     (23*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-55*S[2, Infinity]^3)/56 - (21*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((101*S[2, Infinity]^3)/140 + (167*S[3, Infinity]^2)/56 - 
     (43*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*(-S[2, Infinity]^2/80 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
      ((23*S[2, Infinity]*S[3, Infinity])/16 + (93*S[5, Infinity])/64 + 
       6*S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, -2, -1, Infinity] -> 
  (-31*S[-1, Infinity]^7)/1680 + (37*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/20 + (11*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/36 - (S[1, Infinity]*S[2, Infinity])/
      12 + (53*S[3, Infinity])/576) - (103*S[2, Infinity]^2*S[3, Infinity])/
    1680 - (7599*S[7, Infinity])/7168 + (2*S[-5, 1, 1, Infinity])/7 - 
   (55*S[5, -1, -1, Infinity])/28 + S[1, Infinity]^3*
    ((-7*S[2, Infinity]^2)/30 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/24 - 
     (37*S[2, Infinity]^2)/80 - (5*S[1, Infinity]*S[3, Infinity])/48 + 
     S[-1, 1, 1, 1, Infinity]/6) - 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/12 + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/12 + 
     (5*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (25*S[2, Infinity]*S[3, Infinity])/96 + (93*S[5, Infinity])/16 + 
     S[1, Infinity]*((3*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]/2) + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((221*S[5, Infinity])/64 + (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((8327*S[5, Infinity])/896 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((2683*S[2, Infinity]^3)/1120 - (5*S[1, Infinity]^3*S[3, Infinity])/48 - 
     (3049*S[3, Infinity]^2)/1344 + (39*S[-5, -1, Infinity])/14 + 
     S[1, Infinity]^2*((91*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
        2) - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((-13*S[2, Infinity]*S[3, Infinity])/8 - 
       (465*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-17*S[2, Infinity]^3)/14 + (107*S[3, Infinity]^2)/64 - 
     (19*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, -2, 1, Infinity] -> -S[-1, Infinity]^7/1680 + 
   (S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (S[-1, Infinity]^5*S[1, Infinity]^2)/80 + S[-1, Infinity]^4*
    (S[1, Infinity]^3/48 + (29*S[3, Infinity])/192) + 
   (241*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/8 - 
     (3*S[2, Infinity]^2)/80 - (5*S[1, Infinity]*S[3, Infinity])/48) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/8 + 
     (9*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (5*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (19*S[2, Infinity]*S[3, Infinity])/32 + (279*S[5, Infinity])/128) - 
   (28107*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((-39*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (25*S[2, Infinity]^3)/16 - 
     (5*S[1, Infinity]^3*S[3, Infinity])/48 - 
     (5*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (715*S[3, Infinity]^2)/336 + (43*S[-5, -1, Infinity])/28) + 
   (43*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/7 + 
   S[1, Infinity]^3*((-3*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/2) - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]^2*((-23*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((891*S[5, Infinity])/448 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-31*S[2, Infinity]^3)/560 - S[3, Infinity]^2/32 - 
     (9*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, 2, -1, Infinity] -> 
  (11*S[-1, Infinity]^7)/1008 - (19*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/40 - S[2, Infinity]/40) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/36 - 
     (7*S[1, Infinity]*S[2, Infinity])/48 + (157*S[3, Infinity])/576) + 
   (1951*S[2, Infinity]^2*S[3, Infinity])/960 - (4183*S[7, Infinity])/256 - 
   S[5, -1, -1, Infinity] + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/8 + (3*S[2, Infinity]^2)/4 - 
     (5*S[1, Infinity]*S[3, Infinity])/6 - S[-1, 1, 1, 1, Infinity]/3) + 
   S[1, Infinity]^3*((5*S[2, Infinity]^2)/24 + (2*S[-1, 1, 1, 1, Infinity])/
      3) + (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/12 + 
   S[-1, Infinity]*((-21*S[1, Infinity]^2*S[2, Infinity]^2)/40 - 
     (339*S[2, Infinity]^3)/560 + (S[1, Infinity]^3*S[3, Infinity])/24 + 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + S[3, Infinity]^2/12 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/32 - 
     (61*S[5, Infinity])/16 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((101*S[5, Infinity])/64 - (5*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/12 + 
     (19*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (49*S[2, Infinity]*S[3, Infinity])/48 + (217*S[5, Infinity])/64 + 
     S[1, Infinity]*((-9*S[2, Infinity]^2)/16 + S[-1, 1, 1, 1, Infinity]/2) + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]*
    ((909*S[2, Infinity]^3)/560 - S[3, Infinity]^2/2 - S[-5, -1, Infinity] + 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, 2, 1, Infinity] -> (-5*S[-1, Infinity]^7)/336 + 
   (7*S[-1, Infinity]^6*S[1, Infinity])/144 + 
   S[-1, Infinity]^5*((-11*S[1, Infinity]^2)/240 + S[2, Infinity]/30) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/144 - 
     (13*S[1, Infinity]*S[2, Infinity])/48 + (157*S[3, Infinity])/576) - 
   (23*S[2, Infinity]^2*S[3, Infinity])/960 - (6207*S[7, Infinity])/1024 - 
   (3*S[-5, 1, 1, Infinity])/4 - (5*S[5, -1, -1, Infinity])/4 + 
   S[1, Infinity]^3*(-S[2, Infinity]^2/240 + S[-1, 1, 1, 1, Infinity]/6) + 
   S[-1, Infinity]^3*((5*S[1, Infinity]^2*S[2, Infinity])/24 + 
     (17*S[2, Infinity]^2)/60 - (5*S[1, Infinity]*S[3, Infinity])/6 + 
     S[-1, 1, 1, 1, Infinity]/6) + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((77*S[5, Infinity])/128 - (5*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 - 
     (85*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/24 + 
     (19*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (5*S[2, Infinity]*S[3, Infinity])/24 + (775*S[5, Infinity])/128 + 
     S[1, Infinity]*(S[2, Infinity]^2/40 - S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-41*S[2, Infinity]^3)/1120 + (S[1, Infinity]^3*S[3, Infinity])/24 - 
     (17*S[3, Infinity]^2)/12 + (9*S[-5, -1, Infinity])/4 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + S[1, Infinity]^2*
      (-S[2, Infinity]^2/40 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
     S[1, Infinity]*((23*S[2, Infinity]*S[3, Infinity])/16 - 
       (403*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((109*S[2, Infinity]^3)/280 + (31*S[3, Infinity]^2)/16 - 
     4*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 1, -2, -1, Infinity] -> 
  (5*S[-1, Infinity]^7)/504 - (7*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/240 - S[2, Infinity]/40) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/144 + 
     (5*S[1, Infinity]*S[2, Infinity])/48 - (17*S[3, Infinity])/288) - 
   (5*S[1, Infinity]^4*S[3, Infinity])/192 - 
   (1153*S[2, Infinity]^2*S[3, Infinity])/960 - 
   (121*S[2, Infinity]*S[5, Infinity])/64 + (1683*S[7, Infinity])/512 + 
   S[-5, 1, 1, Infinity]/2 + S[5, -1, -1, Infinity]/2 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/24 - 
     S[2, Infinity]^2/8 + (7*S[1, Infinity]*S[3, Infinity])/24 - 
     S[-1, 1, 1, 1, Infinity]/3) + S[1, Infinity]^3*
    (-S[2, Infinity]^2/48 - S[-1, 1, 1, 1, Infinity]/6) - 
   (29*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/24 + 
   S[-1, Infinity]*(-(S[1, Infinity]^4*S[2, Infinity])/16 - 
     (31*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (359*S[2, Infinity]^3)/280 - 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (5*S[3, Infinity]^2)/8 + S[-5, -1, Infinity]/2 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
     (27*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/24 - 
     (7*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (71*S[2, Infinity]*S[3, Infinity])/96 + 
     (S[1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]*
    (-S[2, Infinity]^3/16 + (67*S[3, Infinity]^2)/384 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, -2, 1, Infinity] -> S[-1, Infinity]^7/84 - 
   (S[-1, Infinity]^6*S[1, Infinity])/36 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/60 - S[2, Infinity]/20) - 
   (S[1, Infinity]^3*S[2, Infinity]^2)/80 + S[-1, Infinity]^4*
    ((7*S[1, Infinity]*S[2, Infinity])/48 - (11*S[3, Infinity])/96) - 
   (5*S[1, Infinity]^4*S[3, Infinity])/192 - 
   (7*S[2, Infinity]^2*S[3, Infinity])/320 - 
   (91*S[2, Infinity]*S[5, Infinity])/64 + (2441*S[7, Infinity])/512 + 
   S[5, -1, -1, Infinity]/2 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/12 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/2) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 + S[5, Infinity]/16 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]^2*
    ((-7*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (S[2, Infinity]*S[3, Infinity])/32 + S[1, Infinity]*
      (-S[2, Infinity]^2/8 + S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-7*S[2, Infinity]^3)/80 + S[3, Infinity]^2/4 + S[-5, -1, Infinity]/2 - 
     (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/16 - 
       (31*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((15*S[2, Infinity]^3)/112 - (29*S[3, Infinity]^2)/384 - 
     S[-5, -1, Infinity]/2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 2, -1, Infinity] -> (5*S[-1, Infinity]^7)/504 - 
   (13*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*((11*S[1, Infinity]^2)/240 + S[2, Infinity]/120) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/48 + (S[1, Infinity]*S[2, Infinity])/
      12 - (11*S[3, Infinity])/96) + (S[1, Infinity]^4*S[3, Infinity])/96 + 
   (73*S[2, Infinity]^2*S[3, Infinity])/160 + 6*S[7, Infinity] + 
   S[-1, Infinity]^3*((-5*S[1, Infinity]^2*S[2, Infinity])/24 - 
     (5*S[2, Infinity]^2)/24 + (7*S[1, Infinity]*S[3, Infinity])/24 - 
     S[-1, 1, 1, 1, Infinity]/2) + S[1, Infinity]^3*
    (S[2, Infinity]^2/5 + S[-1, 1, 1, 1, Infinity]/2) + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*(2*S[5, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 + 2*S[5, Infinity] + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((S[1, Infinity]^3*S[2, Infinity])/8 - 
     (7*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (3*S[2, Infinity]*S[3, Infinity])/16 + S[1, Infinity]*
      ((3*S[2, Infinity]^2)/8 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((S[1, Infinity]^4*S[2, Infinity])/16 + (669*S[2, Infinity]^3)/560 + 
     (7*S[1, Infinity]^3*S[3, Infinity])/24 + (7*S[3, Infinity]^2)/12 + 
     S[1, Infinity]^2*((31*S[2, Infinity]^2)/40 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((11*S[2, Infinity]*S[3, Infinity])/8 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((61*S[2, Infinity]^3)/35 + S[3, Infinity]^2/12 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 2, 1, Infinity] -> -(S[1, Infinity]^3*S[2, Infinity]^2)/5 + 
   (S[1, Infinity]^4*S[3, Infinity])/12 + (S[2, Infinity]^2*S[3, Infinity])/
    20 + S[1, Infinity]*((-61*S[2, Infinity]^3)/35 + 
     (2*S[3, Infinity]^2)/3) + 2*S[2, Infinity]*S[5, Infinity] + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 + 2*S[5, Infinity]) + 
   6*S[7, Infinity], S[1, -1, -1, -1, -1, -2, Infinity] -> 
  S[-1, Infinity]^7/504 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/48 + S[3, Infinity]/8) - 
   (1693*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^3*((107*S[2, Infinity]^2)/240 - 
     (S[1, Infinity]*S[3, Infinity])/6) + S[1, Infinity]*
    ((-57*S[2, Infinity]^3)/112 + S[3, Infinity]^2/4) + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/10 - 
     (S[2, Infinity]*S[3, Infinity])/16 - (77*S[5, Infinity])/32) - 
   (347*S[2, Infinity]*S[5, Infinity])/112 + (72655*S[7, Infinity])/3584 - 
   (16*S[-5, 1, 1, Infinity])/7 + (5*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]*((537*S[2, Infinity]^3)/280 + (363*S[3, Infinity]^2)/448 + 
     S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/8 - S[5, Infinity]) - 
     (85*S[-5, -1, Infinity])/28 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^7/420 + (S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/48 + S[3, Infinity]/8) + 
   (349*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^3*((67*S[2, Infinity]^2)/240 - 
     (S[1, Infinity]*S[3, Infinity])/6) + 
   (10105*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-3*S[1, Infinity]*S[2, Infinity]^2)/16 + 
     (13*S[2, Infinity]*S[3, Infinity])/8 + (157*S[5, Infinity])/128) - 
   (31669*S[7, Infinity])/1792 + S[-1, Infinity]*
    ((199*S[2, Infinity]^3)/112 + (121*S[3, Infinity]^2)/112 + 
     S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/4 - S[5, Infinity]) - 
     (69*S[-5, -1, Infinity])/28) - (69*S[-5, 1, 1, Infinity])/28 - 
   (45*S[5, -1, -1, Infinity])/14 + S[1, Infinity]*
    ((-99*S[2, Infinity]^3)/280 + (13*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/4 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -1, 1, -2, Infinity] -> 
  (19*S[-1, Infinity]^7)/2520 - (7*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (S[-1, Infinity]^5*S[2, Infinity])/30 + S[-1, Infinity]^4*
    ((7*S[1, Infinity]*S[2, Infinity])/48 - (7*S[3, Infinity])/96) + 
   (5771*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (267633*S[7, Infinity])/7168 - (47*S[-5, 1, 1, Infinity])/14 - 
   (157*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((97*S[2, Infinity]^2)/240 - (S[1, Infinity]*S[3, Infinity])/48 - 
     S[-1, 1, 1, 1, Infinity]/3) + 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((2883*S[2, Infinity]^3)/1120 + (221*S[3, Infinity]^2)/
      56 - (47*S[-5, -1, Infinity])/14 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-47*S[2, Infinity]*S[3, Infinity])/16 - 
       (125*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((97*S[2, Infinity]*S[3, Infinity])/32 + 
     (529*S[5, Infinity])/128 + S[1, Infinity]*((-13*S[2, Infinity]^2)/16 + 
       S[-1, 1, 1, 1, Infinity]/2) + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((20071*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-41*S[2, Infinity]^3)/56 - (189*S[3, Infinity]^2)/128 - 
     (9*S[-5, -1, Infinity])/4 - (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, -1, 1, 2, Infinity] -> 
  S[-1, Infinity]^7/84 - (S[-1, Infinity]^6*S[1, Infinity])/72 - 
   (S[-1, Infinity]^5*S[2, Infinity])/80 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 + (7*S[3, Infinity])/192) - 
   (607*S[2, Infinity]^2*S[3, Infinity])/448 + (109591*S[7, Infinity])/7168 - 
   (47*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((47*S[2, Infinity]^2)/240 - 
     (S[1, Infinity]*S[3, Infinity])/48 - S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-2197*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-41*S[2, Infinity]*S[3, Infinity])/32 + S[5, Infinity]/2 + 
     S[1, Infinity]*(S[2, Infinity]^2/5 + S[-1, 1, 1, 1, Infinity]/2) + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((1949*S[2, Infinity]^3)/1120 - (1473*S[3, Infinity]^2)/896 - 
     (17*S[-5, -1, Infinity])/7 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((11*S[2, Infinity]*S[3, Infinity])/8 - 
       (125*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-7*S[2, Infinity]^3)/40 + (129*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, -1, -2, Infinity] -> (53*S[-1, Infinity]^7)/2520 - 
   (7*S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (3*S[-1, Infinity]^5*S[2, Infinity])/80 + S[-1, Infinity]^4*
    ((5*S[1, Infinity]*S[2, Infinity])/48 - (25*S[3, Infinity])/192) - 
   (499*S[2, Infinity]^2*S[3, Infinity])/224 + (55595*S[7, Infinity])/3584 + 
   (19*S[-5, 1, 1, Infinity])/14 + (6*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-53*S[2, Infinity]^2)/240 + 
     (13*S[1, Infinity]*S[3, Infinity])/48 - (2*S[-1, 1, 1, 1, Infinity])/
      3) - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-89*S[2, Infinity]^3)/560 - (95*S[3, Infinity]^2)/56 + 
     (19*S[-5, -1, Infinity])/14 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/16 - 
       (33*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-211*S[5, Infinity])/56 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-13*S[2, Infinity]*S[3, Infinity])/16 + (95*S[5, Infinity])/128 + 
     S[1, Infinity]*(S[2, Infinity]^2/16 + S[-1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]*
    (S[2, Infinity]^3/112 + (115*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity]/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, -1, 2, Infinity] -> 
  (8*S[-1, Infinity]^7)/315 - (S[-1, Infinity]^6*S[1, Infinity])/30 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/48 - 
     (25*S[3, Infinity])/192) - (121*S[2, Infinity]^2*S[3, Infinity])/320 + 
   (31159*S[7, Infinity])/1024 + (13*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((77*S[2, Infinity]^2)/240 + 
     (13*S[1, Infinity]*S[3, Infinity])/48 - (2*S[-1, 1, 1, 1, Infinity])/
      3) - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]*((31*S[2, Infinity]^3)/70 - (91*S[3, Infinity]^2)/64 + 
     (7*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-47*S[2, Infinity]*S[3, Infinity])/32 - 
     (185*S[5, Infinity])/64 + S[1, Infinity]*(-S[2, Infinity]^2/20 + 
       S[-1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-577*S[5, Infinity])/64 + (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((1619*S[2, Infinity]^3)/1120 + 
     (297*S[3, Infinity]^2)/128 - (9*S[-5, -1, Infinity])/4 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((5*S[2, Infinity]*S[3, Infinity])/4 - (33*S[5, Infinity])/64 - 
       S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, 1, -2, Infinity] -> 
  (-11*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/120 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (5*S[2, Infinity]^2*S[3, Infinity])/56 + (94749*S[7, Infinity])/3584 - 
   (18*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((59*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]*S[3, Infinity])/6 + S[-1, 1, 1, 1, Infinity]/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/16 - 
     (27*S[5, Infinity])/8 + S[1, Infinity]*((-11*S[2, Infinity]^2)/20 - 
       S[-1, 1, 1, 1, Infinity]/2) - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1271*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-47*S[2, Infinity]^3)/35 - (3*S[3, Infinity]^2)/4 + 
     2*S[-5, -1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((291*S[2, Infinity]^3)/80 + (713*S[3, Infinity]^2)/224 - 
     (135*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/2 - 
       S[5, Infinity]/32 + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, -1, 1, 1, 2, Infinity] -> 
  (-11*S[-1, Infinity]^7)/1260 + (S[-1, Infinity]^6*S[1, Infinity])/80 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/16 + 
     (25*S[3, Infinity])/192) + (759*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (54219*S[7, Infinity])/7168 - (5*S[-5, 1, 1, Infinity])/7 - 
   (27*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((17*S[2, Infinity]^2)/240 - (S[1, Infinity]*S[3, Infinity])/6 + 
     S[-1, 1, 1, 1, Infinity]/3) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[2, Infinity]*((2545*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((15*S[2, Infinity]*S[3, Infinity])/32 + (33*S[5, Infinity])/128 + 
     S[1, Infinity]*(-S[2, Infinity]^2/16 - S[-1, 1, 1, 1, Infinity]/2) - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((349*S[2, Infinity]^3)/1120 + (25*S[3, Infinity]^2)/28 - 
     (5*S[-5, -1, Infinity])/7 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/2 - 
       S[5, Infinity]/32 + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*(-S[2, Infinity]^3/7 - (25*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity]/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, -1, -2, Infinity] -> 
  (-41*S[-1, Infinity]^7)/1680 + (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/6 + 
     (9*S[3, Infinity])/64) - (2483*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (544637*S[7, Infinity])/7168 - (81*S[-5, 1, 1, Infinity])/28 + 
   (269*S[5, -1, -1, Infinity])/28 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((19*S[2, Infinity]^2)/60 - 
     (S[1, Infinity]*S[3, Infinity])/6 + S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-15401*S[5, Infinity])/448 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-63*S[2, Infinity]*S[3, Infinity])/32 - (511*S[5, Infinity])/32 + 
     S[1, Infinity]*((11*S[2, Infinity]^2)/40 - (3*S[-1, 1, 1, 1, Infinity])/
        2) - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-29*S[2, Infinity]^3)/224 + (405*S[3, Infinity]^2)/112 - 
     (81*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((13*S[2, Infinity]*S[3, Infinity])/4 + 
       (247*S[5, Infinity])/32 + 5*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-187*S[2, Infinity]^3)/560 - (35*S[3, Infinity]^2)/64 + 
     (29*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, -1, 2, Infinity] -> 
  (-101*S[-1, Infinity]^7)/5040 + (7*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/60 + S[-1, Infinity]^4*
    ((-5*S[1, Infinity]*S[2, Infinity])/48 + (5*S[3, Infinity])/32) - 
   (559*S[2, Infinity]^2*S[3, Infinity])/224 + (211221*S[7, Infinity])/3584 - 
   (103*S[-5, 1, 1, Infinity])/28 + (127*S[5, -1, -1, Infinity])/14 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/240 - 
     (S[1, Infinity]*S[3, Infinity])/6 + S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-2075*S[5, Infinity])/128 + 
     S[1, Infinity]*(-S[2, Infinity]^2/40 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((-10825*S[5, Infinity])/448 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-157*S[2, Infinity]^3)/560 - (97*S[3, Infinity]^2)/32 + 
     (17*S[-5, -1, Infinity])/4 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-49*S[2, Infinity]^3)/80 + (3173*S[3, Infinity]^2)/448 - 
     (19*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
       (247*S[5, Infinity])/32 + 5*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   17*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, 1, -2, Infinity] -> 
  (-17*S[-1, Infinity]^7)/1680 + (11*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (S[-1, Infinity]^5*S[2, Infinity])/16 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/12 + (5*S[3, Infinity])/192) - 
   (4301*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (17025*S[2, Infinity]*S[5, Infinity])/896 + (166065*S[7, Infinity])/3584 - 
   (32*S[-5, 1, 1, Infinity])/7 + (45*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/240 - 
     (S[1, Infinity]*S[3, Infinity])/48 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/32 - 
     (1641*S[5, Infinity])/128 + S[1, Infinity]*((9*S[2, Infinity]^2)/40 - 
       S[-1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-139*S[2, Infinity]^3)/280 - (129*S[3, Infinity]^2)/128 + 
     (5*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((37*S[2, Infinity]^3)/560 + (4259*S[3, Infinity]^2)/896 - 
     (11*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((277*S[5, Infinity])/64 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, -1, 1, 2, Infinity] -> 
  (-73*S[-1, Infinity]^7)/5040 + (7*S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/24 - 
     (19*S[3, Infinity])/192) - (339*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (15089*S[2, Infinity]*S[5, Infinity])/896 + (301081*S[7, Infinity])/7168 - 
   (37*S[-5, 1, 1, Infinity])/7 + (153*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((83*S[2, Infinity]^2)/120 - 
     (S[1, Infinity]*S[3, Infinity])/48 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/16 - 
     (805*S[5, Infinity])/64 + S[1, Infinity]*((-3*S[2, Infinity]^2)/5 - 
       S[-1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1581*S[2, Infinity]^3)/1120 + (185*S[3, Infinity]^2)/
      28 - (37*S[-5, -1, Infinity])/7 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[1, Infinity]*
      ((3*S[2, Infinity]*S[3, Infinity])/16 + (277*S[5, Infinity])/64 + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-23*S[2, Infinity]^3)/20 - (63*S[3, Infinity]^2)/32 + 
     (11*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   17*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, -1, -2, Infinity] -> 
  (29*S[-1, Infinity]^7)/1008 - (3*S[-1, Infinity]^6*S[1, Infinity])/80 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    ((3*S[1, Infinity]*S[2, Infinity])/16 - (43*S[3, Infinity])/192) - 
   (113*S[2, Infinity]^2*S[3, Infinity])/2240 - (5825*S[7, Infinity])/3584 - 
   (3*S[-5, 1, 1, Infinity])/28 - (19*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((37*S[2, Infinity]^2)/80 + 
     (13*S[1, Infinity]*S[3, Infinity])/48 - S[-1, 1, 1, 1, Infinity]) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((1885*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 + 
     (467*S[5, Infinity])/128 + S[1, Infinity]*((-11*S[2, Infinity]^2)/40 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((411*S[2, Infinity]^3)/560 - (461*S[3, Infinity]^2)/896 - 
     (17*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
       (39*S[5, Infinity])/8 - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((81*S[2, Infinity]^3)/280 + (85*S[3, Infinity]^2)/128 - 
     (5*S[-5, -1, Infinity])/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, -1, 2, Infinity] -> (41*S[-1, Infinity]^7)/1680 - 
   (S[-1, Infinity]^6*S[1, Infinity])/30 - 
   (17*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/24 - 
     (7*S[3, Infinity])/32) + (1093*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (2071*S[7, Infinity])/112 - (15*S[-5, 1, 1, Infinity])/14 - 
   (18*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((29*S[2, Infinity]^2)/60 + (13*S[1, Infinity]*S[3, Infinity])/48 - 
     S[-1, 1, 1, 1, Infinity]) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[-1, Infinity]*((233*S[2, Infinity]^3)/140 + 
     (19*S[3, Infinity]^2)/56 - (15*S[-5, -1, Infinity])/14 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-27*S[2, Infinity]*S[3, Infinity])/16 - 
       (39*S[5, Infinity])/8 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((5127*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((59*S[2, Infinity]*S[3, Infinity])/32 + (249*S[5, Infinity])/64 + 
     S[1, Infinity]*((-19*S[2, Infinity]^2)/40 + (3*S[-1, 1, 1, 1, Infinity])/
        2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-17*S[2, Infinity]^3)/70 + (65*S[3, Infinity]^2)/64 - 
     3*S[-5, -1, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, 1, -2, Infinity] -> (-3*S[-1, Infinity]^7)/560 + 
   (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/12 + S[3, Infinity]/6) + 
   (17*S[2, Infinity]^2*S[3, Infinity])/80 + S[-1, Infinity]^3*
    (S[2, Infinity]^2/40 - (S[1, Infinity]*S[3, Infinity])/6) + 
   (885*S[7, Infinity])/256 - S[-5, 1, 1, Infinity]/2 - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((3*S[2, Infinity]^3)/7 + (3*S[3, Infinity]^2)/8 - 
     S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((19*S[2, Infinity]^3)/35 + S[3, Infinity]^2/2 - 
     S[-5, -1, Infinity]/2 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/2 - S[5, Infinity] - 
       S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((3*S[1, Infinity]*S[2, Infinity]^2)/20 - (S[2, Infinity]*S[3, Infinity])/
      4 + S[5, Infinity]/64 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((63*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^7/1008 + (S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 + S[3, Infinity]/8) - 
   (381*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((31*S[2, Infinity]^2)/240 - 
     (S[1, Infinity]*S[3, Infinity])/6) + (37221*S[7, Infinity])/3584 - 
   S[-5, 1, 1, Infinity]/28 + (5*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((-2349*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (3*S[2, Infinity]*S[3, Infinity])/4 - (29*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((129*S[2, Infinity]^3)/280 - (37*S[3, Infinity]^2)/112 - 
     (15*S[-5, -1, Infinity])/28 + S[1, Infinity]*
      ((S[2, Infinity]*S[3, Infinity])/2 - S[5, Infinity] - 
       S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[2, Infinity]^3/5 + (5*S[3, Infinity]^2)/8 - 
     S[-5, -1, Infinity]/2 + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   5*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, -1, -2, Infinity] -> 
  S[-1, Infinity]^7/280 - (S[-1, Infinity]^6*S[1, Infinity])/80 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/80 - (3*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     S[3, Infinity]/8) - (1419*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/24 - 
     (3*S[2, Infinity]^2)/16 + (S[1, Infinity]*S[3, Infinity])/3) + 
   S[-1, Infinity]^2*((13*S[1, Infinity]*S[2, Infinity]^2)/20 - 
     (S[1, Infinity]^2*S[3, Infinity])/4 - (3*S[2, Infinity]*S[3, Infinity])/
      2 + (31*S[5, Infinity])/128) + (20133*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-3*S[1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (801*S[2, Infinity]^3)/560 + (5*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/2 - (295*S[3, Infinity]^2)/112 + 
     (59*S[-5, -1, Infinity])/28) + (59*S[-5, 1, 1, Infinity])/28 + 
   (13*S[5, -1, -1, Infinity])/7 + S[1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/8 + (29*S[5, Infinity])/128 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((-1089*S[5, Infinity])/224 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((241*S[2, Infinity]^3)/280 + (35*S[3, Infinity]^2)/16 + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, -1, 2, Infinity] -> 
  (-17*S[-1, Infinity]^7)/1680 + (S[-1, Infinity]^6*S[1, Infinity])/72 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/48 - 
     S[3, Infinity]/8) - (2*S[2, Infinity]^2*S[3, Infinity])/7 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/24 - 
     (233*S[2, Infinity]^2)/240 + (S[1, Infinity]*S[3, Infinity])/3) + 
   S[1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/16 - 
     S[5, Infinity]/2) - (72145*S[7, Infinity])/3584 + 
   (75*S[-5, 1, 1, Infinity])/28 - S[5, -1, -1, Infinity]/14 + 
   S[2, Infinity]*((-43*S[5, Infinity])/112 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((83*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]^2*S[3, Infinity])/4 + (31*S[5, Infinity])/16 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-3*S[1, Infinity]^2*S[2, Infinity]^2)/10 - (599*S[2, Infinity]^3)/140 - 
     (905*S[3, Infinity]^2)/448 + (45*S[-5, -1, Infinity])/7 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/2 + 
       (93*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((859*S[2, Infinity]^3)/560 + (55*S[3, Infinity]^2)/64 - 
     (15*S[-5, -1, Infinity])/4 + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, 1, -2, Infinity] -> 
  (-17*S[-1, Infinity]^7)/1008 + (S[-1, Infinity]^6*S[1, Infinity])/30 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/60 + (7*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*((-3*S[1, Infinity]*S[2, Infinity])/16 - 
     S[3, Infinity]/32) + (197*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (249107*S[7, Infinity])/7168 + (19*S[-5, 1, 1, Infinity])/14 - 
   (39*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/24 - (81*S[2, Infinity]^2)/80 + 
     (S[1, Infinity]*S[3, Infinity])/24 + S[-1, 1, 1, 1, Infinity]/6) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((1993*S[5, Infinity])/896 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/16 - (125*S[5, Infinity])/64 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]^2*
    (-(S[1, Infinity]^2*S[3, Infinity])/32 + (S[2, Infinity]*S[3, Infinity])/
      32 + (31*S[5, Infinity])/64 + S[1, Infinity]*
      ((113*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/2) + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-5567*S[2, Infinity]^3)/1120 - (2437*S[3, Infinity]^2)/896 + 
     (143*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*
      ((-3*S[2, Infinity]^2)/10 + S[-1, 1, 1, 1, Infinity]/2) + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/16 + 
       (279*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((86*S[2, Infinity]^3)/35 + (97*S[3, Infinity]^2)/64 - 
     (15*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   20*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, -1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^7/315 + (S[-1, Infinity]^6*S[1, Infinity])/144 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/240 - S[2, Infinity]/24) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (9*S[3, Infinity])/64) + (601*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (54219*S[7, Infinity])/7168 - (5*S[-5, 1, 1, Infinity])/7 - 
   (27*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^2*
    (-(S[1, Infinity]^2*S[3, Infinity])/32 + 
     (11*S[2, Infinity]*S[3, Infinity])/16 + (31*S[5, Infinity])/128 + 
     S[1, Infinity]*(-S[2, Infinity]^2/10 - S[-1, 1, 1, 1, Infinity]/2)) + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/24 + 
     (7*S[2, Infinity]^2)/48 + (S[1, Infinity]*S[3, Infinity])/24 + 
     S[-1, 1, 1, 1, Infinity]/6) + 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((-17*S[2, Infinity]^3)/224 + 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (25*S[3, Infinity]^2)/28 - (5*S[-5, -1, Infinity])/7 + 
     S[1, Infinity]^2*((-3*S[2, Infinity]^2)/16 + S[-1, 1, 1, 1, Infinity]/
        2) + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/32 + 
     (29*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((687*S[5, Infinity])/224 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((63*S[3, Infinity]^2)/128 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, -1, -2, Infinity] -> 
  (-61*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/18 + 
   S[-1, Infinity]^5*((-3*S[1, Infinity]^2)/80 + (11*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*((-13*S[1, Infinity]*S[2, Infinity])/48 + 
     (13*S[3, Infinity])/64) + (261*S[2, Infinity]^2*S[3, Infinity])/140 - 
   (177327*S[7, Infinity])/3584 + (103*S[-5, 1, 1, Infinity])/28 - 
   (85*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/6 - (29*S[2, Infinity]^2)/80 - 
     (13*S[1, Infinity]*S[3, Infinity])/24 + S[-1, 1, 1, 1, Infinity]/3) + 
   S[1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 - 
     (33*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((16225*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((13*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (S[2, Infinity]*S[3, Infinity])/4 + (1581*S[5, Infinity])/128 + 
     S[1, Infinity]*((39*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-37*S[2, Infinity]^3)/40 - (4533*S[3, Infinity]^2)/896 + 
     (55*S[-5, -1, Infinity])/14 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]^2*(-S[2, Infinity]^2/40 + S[-1, 1, 1, 1, Infinity]) + 
     S[1, Infinity]*((13*S[2, Infinity]*S[3, Infinity])/16 - 
       (93*S[5, Infinity])/16 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((389*S[2, Infinity]^3)/560 + (69*S[3, Infinity]^2)/32 - 
     (11*S[-5, -1, Infinity])/2 + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, -1, 2, Infinity] -> 
  (-53*S[-1, Infinity]^7)/5040 + (7*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/40 + (3*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*((-3*S[1, Infinity]*S[2, Infinity])/16 + 
     (13*S[3, Infinity])/64) + (377*S[2, Infinity]^2*S[3, Infinity])/160 - 
   (34683*S[7, Infinity])/1024 + (7*S[-5, 1, 1, Infinity])/2 - 
   (15*S[5, -1, -1, Infinity])/4 + S[-1, Infinity]^2*
    ((13*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (13*S[2, Infinity]*S[3, Infinity])/16 + (899*S[5, Infinity])/128 + 
     S[1, Infinity]*((19*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/6 - 
     (17*S[2, Infinity]^2)/120 - (13*S[1, Infinity]*S[3, Infinity])/24 + 
     S[-1, 1, 1, 1, Infinity]/3) + S[-1, Infinity]*
    ((-1837*S[2, Infinity]^3)/1120 - (29*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (27*S[3, Infinity]^2)/8 + 
     (7*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[1, Infinity]^2*(-S[2, Infinity]^2/10 + S[-1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]^2*((31*S[2, Infinity]*S[3, Infinity])/32 - 
     (405*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((61*S[5, Infinity])/8 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((341*S[2, Infinity]^3)/280 + (89*S[3, Infinity]^2)/128 - 
     (21*S[-5, -1, Infinity])/4 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   17*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 1, -2, Infinity] -> 
  (7*S[-1, Infinity]^7)/720 - (7*S[-1, Infinity]^6*S[1, Infinity])/240 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/40 - S[2, Infinity]/60) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     S[3, Infinity]/12) - (161*S[2, Infinity]^2*S[3, Infinity])/80 - 
   (1131*S[7, Infinity])/256 + (7*S[-5, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^2*S[3, Infinity])/4 - 
     (27*S[2, Infinity]*S[3, Infinity])/16 + (217*S[5, Infinity])/64 + 
     S[1, Infinity]*((29*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]/
        2)) + S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 - 
     (19*S[2, Infinity]^2)/40 + (S[1, Infinity]*S[3, Infinity])/3 - 
     S[-1, 1, 1, 1, Infinity]/6) - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-41*S[2, Infinity]^3)/20 + 
     (11*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (17*S[3, Infinity]^2)/4 + (7*S[-5, -1, Infinity])/2 + 
     S[1, Infinity]^2*(-S[2, Infinity]^2/10 - S[-1, 1, 1, 1, Infinity]/2) - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-89*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/16 + 
     (15*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((34*S[2, Infinity]^3)/35 + (7*S[3, Infinity]^2)/4 - 
     (3*S[-5, -1, Infinity])/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^7/252 - (S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/80 + S[2, Infinity]/40) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (23*S[3, Infinity])/192) + (89*S[2, Infinity]^2*S[3, Infinity])/56 - 
   (214773*S[7, Infinity])/7168 + (89*S[-5, 1, 1, Infinity])/28 - 
   (79*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/12 - (137*S[2, Infinity]^2)/240 + 
     (S[1, Infinity]*S[3, Infinity])/3 - S[-1, 1, 1, 1, Infinity]/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 - S[5, Infinity]/64 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((4231*S[5, Infinity])/448 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^2*S[3, Infinity])/4 + 
     (15*S[2, Infinity]*S[3, Infinity])/32 + (341*S[5, Infinity])/64 + 
     S[1, Infinity]*((29*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/2) + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-355*S[2, Infinity]^3)/224 - (491*S[3, Infinity]^2)/224 + 
     (24*S[-5, -1, Infinity])/7 + S[1, Infinity]^2*(-S[2, Infinity]^2/40 - 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity]) + 
       (31*S[5, Infinity])/32 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((11*S[2, Infinity]^3)/14 + (3*S[3, Infinity]^2)/32 - 
     (7*S[-5, -1, Infinity])/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, -1, -2, Infinity] -> 
  (3*S[-1, Infinity]^7)/140 - (41*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/24 - (7*S[2, Infinity])/120) - 
   (S[1, Infinity]^3*S[2, Infinity]^2)/10 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/4 + (11*S[3, Infinity])/192) - 
   (187*S[2, Infinity]^2*S[3, Infinity])/280 + (87609*S[7, Infinity])/7168 - 
   (2*S[-5, 1, 1, Infinity])/7 - (15*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 + 
     (181*S[2, Infinity]^2)/240 - (S[1, Infinity]*S[3, Infinity])/6 - 
     S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/24 + 
     (S[1, Infinity]^2*S[3, Infinity])/4 + (7*S[2, Infinity]*S[3, Infinity])/
      96 + (31*S[5, Infinity])/8 + S[1, Infinity]*((-15*S[2, Infinity]^2)/8 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
     (247*S[5, Infinity])/64 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((4875*S[5, Infinity])/896 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((-193*S[2, Infinity]^3)/70 - (73*S[3, Infinity]^2)/64 + 
     (11*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((129*S[2, Infinity]^3)/32 - 
     (S[1, Infinity]^3*S[3, Infinity])/6 + (263*S[3, Infinity]^2)/1344 - 
     (39*S[-5, -1, Infinity])/14 + S[1, Infinity]^2*
      ((59*S[2, Infinity]^2)/80 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/2 - 
       (465*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, -1, 2, Infinity] -> -S[-1, Infinity]^7/420 + 
   (S[-1, Infinity]^6*S[1, Infinity])/80 + S[-1, Infinity]^5*
    (-S[1, Infinity]^2/40 + S[2, Infinity]/40) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/48 - (S[1, Infinity]*S[2, Infinity])/
      8 + (5*S[3, Infinity])/24) + (67*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/12 - 
     (11*S[2, Infinity]^2)/240 - (S[1, Infinity]*S[3, Infinity])/6) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/24 + 
     (7*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (S[1, Infinity]^2*S[3, Infinity])/4 - (7*S[2, Infinity]*S[3, Infinity])/
      12 + (31*S[5, Infinity])/128) + (19497*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((37*S[1, Infinity]^2*S[2, Infinity]^2)/80 + 
     (221*S[2, Infinity]^3)/560 - (S[1, Infinity]^3*S[3, Infinity])/6 - 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
     (517*S[3, Infinity]^2)/336 + (27*S[-5, -1, Infinity])/28) + 
   (27*S[-5, 1, 1, Infinity])/28 + (5*S[5, -1, -1, Infinity])/7 + 
   S[1, Infinity]^3*(-S[2, Infinity]^2/16 - S[-1, 1, 1, 1, Infinity]/2) - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-835*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/8 + 
     (29*S[5, Infinity])/128 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-137*S[2, Infinity]^3)/560 - (31*S[3, Infinity]^2)/32 + 
     S[-5, -1, Infinity]/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, 1, -2, Infinity] -> 
  (-11*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^6*S[1, Infinity])/90 - 
   (S[-1, Infinity]^5*S[1, Infinity]^2)/48 + S[-1, Infinity]^4*
    (S[1, Infinity]^3/72 + (19*S[3, Infinity])/576) + 
   (149*S[2, Infinity]^2*S[3, Infinity])/240 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/24 + 
     (2*S[2, Infinity]^2)/15 - (S[1, Infinity]*S[3, Infinity])/48) + 
   S[-1, Infinity]^2*((-9*S[1, Infinity]*S[2, Infinity]^2)/20 + 
     (S[1, Infinity]^2*S[3, Infinity])/32 + 
     (17*S[2, Infinity]*S[3, Infinity])/32 - (93*S[5, Infinity])/64) + 
   (1389*S[7, Infinity])/256 + S[-1, Infinity]*
    ((3*S[1, Infinity]^2*S[2, Infinity]^2)/8 + (379*S[2, Infinity]^3)/280 - 
     (S[1, Infinity]^3*S[3, Infinity])/48 - 
     (17*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (11*S[3, Infinity]^2)/6 - (3*S[-5, -1, Infinity])/2) - 
   (3*S[-5, 1, 1, Infinity])/2 + S[1, Infinity]^3*(-S[2, Infinity]^2/30 - 
     S[-1, 1, 1, 1, Infinity]/3) - 
   (2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((61*S[5, Infinity])/32 + (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 + 
     (123*S[5, Infinity])/64 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-151*S[2, Infinity]^3)/140 - (13*S[3, Infinity]^2)/8 + 
     2*S[-5, -1, Infinity] - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, 1, 2, Infinity] -> 
  (109*S[-1, Infinity]^7)/5040 - (7*S[-1, Infinity]^6*S[1, Infinity])/120 + 
   S[-1, Infinity]^5*((11*S[1, Infinity]^2)/240 - (11*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/144 + 
     (3*S[1, Infinity]*S[2, Infinity])/16 - (5*S[3, Infinity])/576) - 
   (119*S[2, Infinity]^2*S[3, Infinity])/480 + (11787*S[7, Infinity])/1024 - 
   (5*S[-5, 1, 1, Infinity])/4 + S[5, -1, -1, Infinity]/4 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/8 + 
     (119*S[2, Infinity]^2)/240 - (S[1, Infinity]*S[3, Infinity])/48 - 
     S[-1, 1, 1, 1, Infinity]/2) + S[1, Infinity]^3*
    (-S[2, Infinity]^2/120 + S[-1, 1, 1, 1, Infinity]/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
   S[-1, Infinity]^2*((S[1, Infinity]^2*S[3, Infinity])/32 - 
     (7*S[2, Infinity]*S[3, Infinity])/32 - (155*S[5, Infinity])/128 + 
     S[1, Infinity]*((-11*S[2, Infinity]^2)/10 + (3*S[-1, 1, 1, 1, Infinity])/
        2) - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 + 
     (277*S[5, Infinity])/128 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((175*S[5, Infinity])/128 + (5*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]*((-181*S[2, Infinity]^3)/140 - 
     (153*S[3, Infinity]^2)/128 + (9*S[-5, -1, Infinity])/2 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((2721*S[2, Infinity]^3)/1120 - (S[1, Infinity]^3*S[3, Infinity])/48 + 
     (419*S[3, Infinity]^2)/384 - (15*S[-5, -1, Infinity])/4 + 
     S[1, Infinity]^2*((37*S[2, Infinity]^2)/80 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/16 - 
       (31*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, -1, -2, Infinity] -> S[-1, Infinity]^7/1680 - 
   (S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (S[-1, Infinity]^5*S[1, Infinity]^2)/80 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/24 + S[2, Infinity]^2/60) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/48 - S[3, Infinity]/12) + 
   (13*S[1, Infinity]^4*S[3, Infinity])/192 + 
   (131*S[2, Infinity]^2*S[3, Infinity])/960 + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/24 - 
     (S[1, Infinity]*S[2, Infinity]^2)/20 + (S[2, Infinity]*S[3, Infinity])/
      3 - (31*S[5, Infinity])/64) + (123*S[7, Infinity])/256 + 
   S[-1, Infinity]*((S[1, Infinity]^4*S[2, Infinity])/24 + 
     (7*S[1, Infinity]^2*S[2, Infinity]^2)/40 + (53*S[2, Infinity]^3)/140 + 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 + 
     (5*S[3, Infinity]^2)/8 - S[-5, -1, Infinity]/2) - 
   S[-5, 1, 1, Infinity]/2 + S[1, Infinity]^3*((11*S[2, Infinity]^2)/120 + 
     S[-1, 1, 1, 1, Infinity]/2) + 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/32 - S[5, Infinity]/64 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    (-S[5, Infinity]/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((11*S[2, Infinity]^3)/40 + (19*S[3, Infinity]^2)/24 + 
     S[-5, -1, Infinity]/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, -1, 2, Infinity] -> (-17*S[-1, Infinity]^7)/5040 + 
   (7*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (S[-1, Infinity]^5*S[1, Infinity]^2)/240 + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/72 - (S[1, Infinity]*S[2, Infinity])/
      24 - (41*S[3, Infinity])/288) - (S[1, Infinity]^4*S[3, Infinity])/24 + 
   (101*S[2, Infinity]^2*S[3, Infinity])/480 - (1143*S[7, Infinity])/512 + 
   S[5, -1, -1, Infinity]/2 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/12 - (27*S[2, Infinity]^2)/80 + 
     (7*S[1, Infinity]*S[3, Infinity])/16 + S[-1, 1, 1, 1, Infinity]/6) + 
   S[1, Infinity]^3*((7*S[2, Infinity]^2)/48 + S[-1, 1, 1, 1, Infinity]/3) + 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*((-251*S[5, Infinity])/64 - (5*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 - 
     (39*S[5, Infinity])/16 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/8 - 
     (21*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (3*S[2, Infinity]*S[3, Infinity])/8 - (93*S[5, Infinity])/32 + 
     S[1, Infinity]*((91*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/2) - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    (-(S[1, Infinity]^4*S[2, Infinity])/48 - (1013*S[2, Infinity]^3)/560 + 
     (7*S[1, Infinity]^3*S[3, Infinity])/16 + (161*S[3, Infinity]^2)/128 + 
     S[1, Infinity]^2*((-61*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
        2) + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((55*S[2, Infinity]*S[3, Infinity])/48 + 
       (155*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((661*S[2, Infinity]^3)/560 - (179*S[3, Infinity]^2)/384 + 
     S[-5, -1, Infinity]/2 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 1, -2, Infinity] -> -S[-1, Infinity]^7/252 + 
   (S[-1, Infinity]^6*S[1, Infinity])/72 - 
   (S[-1, Infinity]^5*S[1, Infinity]^2)/60 - 
   (S[1, Infinity]^5*S[2, Infinity])/240 + S[-1, Infinity]^4*
    (S[1, Infinity]^3/144 - (S[1, Infinity]*S[2, Infinity])/24 + 
     (29*S[3, Infinity])/576) - (S[1, Infinity]^4*S[3, Infinity])/192 - 
   (47*S[2, Infinity]^2*S[3, Infinity])/192 - S[7, Infinity] + 
   S[1, Infinity]^3*((-13*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      6) + S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/12 + 
     S[2, Infinity]^2/12 - (7*S[1, Infinity]*S[3, Infinity])/48 + 
     S[-1, 1, 1, 1, Infinity]/6) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    3 + S[2, Infinity]*((-3*S[5, Infinity])/5 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/96 - 
     S[5, Infinity]/2 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/24 + 
     (7*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (13*S[2, Infinity]*S[3, Infinity])/96 + S[1, Infinity]*
      (-S[2, Infinity]^2/8 - S[-1, 1, 1, 1, Infinity]/2) - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]*
    ((-303*S[2, Infinity]^3)/560 - S[3, Infinity]^2/24 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - S[-1, 1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]*((-7*S[1, Infinity]^3*S[3, Infinity])/48 - 
     (7*S[3, Infinity]^2)/24 + (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
       S[-1, 1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 1, 1, 2, Infinity] -> 
  (S[1, Infinity]^5*S[2, Infinity])/120 + 
   (3*S[1, Infinity]^3*S[2, Infinity]^2)/20 - 
   (S[1, Infinity]^4*S[3, Infinity])/24 + (3*S[2, Infinity]^2*S[3, Infinity])/
    40 + S[1, Infinity]*((183*S[2, Infinity]^3)/280 - S[3, Infinity]^2/3) + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/12 - 
     S[5, Infinity]/2) - (3*S[2, Infinity]*S[5, Infinity])/10 - 
   S[7, Infinity], S[1, -1, -1, -1, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/560 + (S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/48 + (11*S[3, Infinity])/96) + 
   (69*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]*S[3, Infinity])/24) + 
   S[1, Infinity]*((61*S[2, Infinity]^3)/560 + S[3, Infinity]^2/32) + 
   (2609*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((9*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (5*S[2, Infinity]*S[3, Infinity])/8 + (233*S[5, Infinity])/128) - 
   (14321*S[7, Infinity])/3584 + S[-1, Infinity]*((39*S[2, Infinity]^3)/40 - 
     (71*S[3, Infinity]^2)/112 + S[1, Infinity]*
      (-(S[2, Infinity]*S[3, Infinity])/8 - (3*S[5, Infinity])/16) + 
     (3*S[-5, -1, Infinity])/28) + (3*S[-5, 1, 1, Infinity])/28 - 
   (9*S[5, -1, -1, Infinity])/14 + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, -1, -1, 1, Infinity] -> -S[-1, Infinity]^7/560 + 
   (S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/48 + (11*S[3, Infinity])/96) - 
   (439*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]*S[3, Infinity])/24) + 
   S[1, Infinity]*((-187*S[2, Infinity]^3)/560 + S[3, Infinity]^2/32) + 
   (817*S[2, Infinity]*S[5, Infinity])/896 + S[-1, Infinity]^2*
    ((9*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (5*S[2, Infinity]*S[3, Infinity])/8 + (233*S[5, Infinity])/128) + 
   (20847*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((397*S[2, Infinity]^3)/280 - (71*S[3, Infinity]^2)/112 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/8 - 
       (3*S[5, Infinity])/16) + (3*S[-5, -1, Infinity])/28) + 
   (3*S[-5, 1, 1, Infinity])/28 - (9*S[5, -1, -1, Infinity])/14 + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, -1, 1, -1, Infinity] -> (-53*S[-1, Infinity]^7)/1680 + 
   (31*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    ((-5*S[1, Infinity]*S[2, Infinity])/48 + S[3, Infinity]/3) + 
   (639*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (7635*S[2, Infinity]*S[5, Infinity])/448 - (98145*S[7, Infinity])/3584 - 
   (30*S[-5, 1, 1, Infinity])/7 - (81*S[5, -1, -1, Infinity])/14 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((37*S[2, Infinity]^2)/80 - 
     (23*S[1, Infinity]*S[3, Infinity])/48 + S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((83*S[2, Infinity]*S[3, Infinity])/32 + 
     (163*S[5, Infinity])/128 + S[1, Infinity]*((-21*S[2, Infinity]^2)/80 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((193*S[2, Infinity]^3)/80 + (45*S[3, Infinity]^2)/28 - 
     (30*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-23*S[2, Infinity]*S[3, Infinity])/16 + 
       (23*S[5, Infinity])/64 + 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-11*S[2, Infinity]^3)/7 + (41*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, -1, 1, 1, Infinity] -> (-53*S[-1, Infinity]^7)/1680 + 
   (31*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    ((-5*S[1, Infinity]*S[2, Infinity])/48 + S[3, Infinity]/3) + 
   (1983*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (7635*S[2, Infinity]*S[5, Infinity])/448 - (162657*S[7, Infinity])/3584 - 
   (30*S[-5, 1, 1, Infinity])/7 - (81*S[5, -1, -1, Infinity])/14 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((37*S[2, Infinity]^2)/80 - 
     (23*S[1, Infinity]*S[3, Infinity])/48 + S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((83*S[2, Infinity]*S[3, Infinity])/32 + 
     (163*S[5, Infinity])/128 + S[1, Infinity]*((-21*S[2, Infinity]^2)/80 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((711*S[2, Infinity]^3)/560 + (101*S[3, Infinity]^2)/28 - 
     (30*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-23*S[2, Infinity]*S[3, Infinity])/16 + 
       (23*S[5, Infinity])/64 + 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-3*S[2, Infinity]^3)/7 - (87*S[3, Infinity]^2)/64 - 
     (3*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^7/80 + 
   (13*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/48 + 
     (85*S[3, Infinity])/192) + (43*S[2, Infinity]^2*S[3, Infinity])/35 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/16 - 
     (23*S[1, Infinity]*S[3, Infinity])/48) + 
   (7839*S[2, Infinity]*S[5, Infinity])/448 - (254721*S[7, Infinity])/7168 + 
   (3*S[-5, 1, 1, Infinity])/28 - (165*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]*((329*S[2, Infinity]^3)/480 - (323*S[3, Infinity]^2)/112 + 
     (3*S[-5, -1, Infinity])/28 + S[1, Infinity]*
      ((-23*S[2, Infinity]*S[3, Infinity])/16 - (369*S[5, Infinity])/64 - 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((-19*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (15*S[2, Infinity]*S[3, Infinity])/16 + (1113*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((-11*S[2, Infinity]^3)/80 + (167*S[3, Infinity]^2)/64 - 
     6*S[-5, -1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^7/80 + 
   (13*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((-5*S[1, Infinity]*S[2, Infinity])/48 + 
     (85*S[3, Infinity])/192) + (204*S[2, Infinity]^2*S[3, Infinity])/35 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/16 - 
     (23*S[1, Infinity]*S[3, Infinity])/48) + 
   (7839*S[2, Infinity]*S[5, Infinity])/448 - (372097*S[7, Infinity])/7168 + 
   (3*S[-5, 1, 1, Infinity])/28 - (165*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]*((-779*S[2, Infinity]^3)/1120 + (13*S[3, Infinity]^2)/
      112 + (3*S[-5, -1, Infinity])/28 + S[1, Infinity]*
      ((-23*S[2, Infinity]*S[3, Infinity])/16 - (369*S[5, Infinity])/64 - 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((-19*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (15*S[2, Infinity]*S[3, Infinity])/16 + (1113*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((2089*S[2, Infinity]^3)/1680 - (25*S[3, Infinity]^2)/64 - 
     6*S[-5, -1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, 1, 1, -1, Infinity] -> (-13*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/16 + 
     (71*S[3, Infinity])/192) - (5*S[2, Infinity]^2*S[3, Infinity])/112 + 
   (3749*S[2, Infinity]*S[5, Infinity])/896 - (93881*S[7, Infinity])/7168 + 
   (25*S[-5, 1, 1, Infinity])/14 - (13*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/16 - 
     (S[1, Infinity]*S[3, Infinity])/3 - S[-1, 1, 1, 1, Infinity]/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-893*S[2, Infinity]^3)/1120 - (125*S[3, Infinity]^2)/
      56 + (25*S[-5, -1, Infinity])/14 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*(S[2, Infinity]*S[3, Infinity] - 4*S[5, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((-55*S[2, Infinity]*S[3, Infinity])/32 + (887*S[5, Infinity])/128 + 
     S[1, Infinity]*((-9*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/2) + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((143*S[2, Infinity]^3)/105 + (23*S[3, Infinity]^2)/32 - 
     (9*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, -1, 1, 1, 1, Infinity] -> (-13*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^6*S[1, Infinity])/240 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/16 + 
     (71*S[3, Infinity])/192) - (117*S[2, Infinity]^2*S[3, Infinity])/112 - 
   (1179*S[2, Infinity]*S[5, Infinity])/896 + (5127*S[7, Infinity])/7168 + 
   (25*S[-5, 1, 1, Infinity])/14 - (13*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/16 - 
     (S[1, Infinity]*S[3, Infinity])/3 - S[-1, 1, 1, 1, Infinity]/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-311*S[2, Infinity]^3)/3360 - (181*S[3, Infinity]^2)/
      56 + (25*S[-5, -1, Infinity])/14 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*(S[2, Infinity]*S[3, Infinity] - 4*S[5, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((-55*S[2, Infinity]*S[3, Infinity])/32 + (887*S[5, Infinity])/128 + 
     S[1, Infinity]*((-9*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/2) + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((23*S[2, Infinity]^3)/35 + (55*S[3, Infinity]^2)/32 - 
     (9*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, -1, -1, -1, Infinity] -> (11*S[-1, Infinity]^7)/420 - 
   (13*S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (7*S[3, Infinity])/64) - (1017*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (11667*S[2, Infinity]*S[5, Infinity])/896 + (232503*S[7, Infinity])/7168 + 
   (9*S[-5, 1, 1, Infinity])/14 + (123*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((9*S[2, Infinity]^2)/40 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]) - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((3*S[2, Infinity]^3)/5 - (15*S[3, Infinity]^2)/32 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-669*S[2, Infinity]^3)/1120 + (67*S[3, Infinity]^2)/56 + 
     (9*S[-5, -1, Infinity])/14 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/8 - 
       (81*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((-49*S[2, Infinity]*S[3, Infinity])/32 - 
     3*S[5, Infinity] + S[1, Infinity]*((-9*S[2, Infinity]^2)/40 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, -1, -1, 1, Infinity] -> (11*S[-1, Infinity]^7)/420 - 
   (13*S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (7*S[3, Infinity])/64) - (2361*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (11667*S[2, Infinity]*S[5, Infinity])/896 + (254007*S[7, Infinity])/7168 + 
   (9*S[-5, 1, 1, Infinity])/14 + (123*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((9*S[2, Infinity]^2)/40 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]) - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((3*S[2, Infinity]^3)/5 + (49*S[3, Infinity]^2)/32 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-669*S[2, Infinity]^3)/1120 - (45*S[3, Infinity]^2)/56 + 
     (9*S[-5, -1, Infinity])/14 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/8 - 
       (81*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((-49*S[2, Infinity]*S[3, Infinity])/32 - 
     3*S[5, Infinity] + S[1, Infinity]*((-9*S[2, Infinity]^2)/40 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/280 + 
   (S[-1, Infinity]^6*S[1, Infinity])/180 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 + 
     (7*S[3, Infinity])/64) - (689*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/5 - 
     (7*S[1, Infinity]*S[3, Infinity])/48) + S[-1, Infinity]^2*
    ((-3*S[1, Infinity]*S[2, Infinity]^2)/5 - 
     (9*S[2, Infinity]*S[3, Infinity])/16 - (69*S[5, Infinity])/16) - 
   (8607*S[2, Infinity]*S[5, Infinity])/896 + (192679*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((189*S[2, Infinity]^3)/160 + (195*S[3, Infinity]^2)/56 + 
     S[1, Infinity]*((9*S[2, Infinity]*S[3, Infinity])/16 + 
       (3*S[5, Infinity])/64) - (39*S[-5, -1, Infinity])/14) - 
   (39*S[-5, 1, 1, Infinity])/14 + (111*S[5, -1, -1, Infinity])/28 + 
   S[1, Infinity]*(-S[2, Infinity]^3/56 - (69*S[3, Infinity]^2)/64 + 
     3*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, -1, 1, 1, Infinity] -> -S[-1, Infinity]^7/280 + 
   (S[-1, Infinity]^6*S[1, Infinity])/180 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 + 
     (7*S[3, Infinity])/64) - (73*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/5 - 
     (7*S[1, Infinity]*S[3, Infinity])/48) + S[-1, Infinity]^2*
    ((-3*S[1, Infinity]*S[2, Infinity]^2)/5 - 
     (9*S[2, Infinity]*S[3, Infinity])/16 - (69*S[5, Infinity])/16) - 
   (12639*S[2, Infinity]*S[5, Infinity])/896 + (247335*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((5329*S[2, Infinity]^3)/3360 + (223*S[3, Infinity]^2)/
      56 + S[1, Infinity]*((9*S[2, Infinity]*S[3, Infinity])/16 + 
       (3*S[5, Infinity])/64) - (39*S[-5, -1, Infinity])/14) - 
   (39*S[-5, 1, 1, Infinity])/14 + (111*S[5, -1, -1, Infinity])/28 + 
   S[1, Infinity]*((-71*S[2, Infinity]^3)/168 - (101*S[3, Infinity]^2)/64 + 
     3*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, 1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^7)/504 + 
   (S[-1, Infinity]^6*S[1, Infinity])/72 + (S[-1, Infinity]^5*S[2, Infinity])/
    40 + S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 + 
     (7*S[3, Infinity])/96) + (333*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (297*S[2, Infinity]*S[5, Infinity])/448 + (6441*S[7, Infinity])/896 - 
   (29*S[-5, 1, 1, Infinity])/14 + (3*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/8 - (7*S[1, Infinity]*S[3, Infinity])/
      48 + S[-1, 1, 1, 1, Infinity]/3) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/32 - 
     (27*S[5, Infinity])/32 + S[1, Infinity]*(-S[2, Infinity]^2/8 - 
       S[-1, 1, 1, 1, Infinity]/2) - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((109*S[2, Infinity]^3)/40 + (145*S[3, Infinity]^2)/56 - 
     (29*S[-5, -1, Infinity])/14 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
       (27*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-18*S[2, Infinity]^3)/35 - (109*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, 1, -1, 1, Infinity] -> (-5*S[-1, Infinity]^7)/504 + 
   (S[-1, Infinity]^6*S[1, Infinity])/72 + (S[-1, Infinity]^5*S[2, Infinity])/
    40 + S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/24 + 
     (7*S[3, Infinity])/96) - (3*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (1495*S[2, Infinity]*S[5, Infinity])/448 + (22569*S[7, Infinity])/896 - 
   (29*S[-5, 1, 1, Infinity])/14 + (3*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/8 - (7*S[1, Infinity]*S[3, Infinity])/
      48 + S[-1, 1, 1, 1, Infinity]/3) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/32 - 
     (27*S[5, Infinity])/32 + S[1, Infinity]*(-S[2, Infinity]^2/8 - 
       S[-1, 1, 1, 1, Infinity]/2) - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((3233*S[2, Infinity]^3)/840 + (89*S[3, Infinity]^2)/56 - 
     (29*S[-5, -1, Infinity])/14 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
       (27*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-172*S[2, Infinity]^3)/105 - (45*S[3, Infinity]^2)/64 + 
     (5*S[-5, -1, Infinity])/2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, 1, 1, -1, Infinity] -> 15*S[7, Infinity] - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((8*S[2, Infinity]^3)/7 + S[1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-8*S[2, Infinity]^3)/7 - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, 1, 1, 1, Infinity] -> 
  -(S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   5*S[1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] + 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -1, -1, -1, -1, Infinity] -> S[-1, Infinity]^7/105 - 
   (11*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    ((5*S[1, Infinity]*S[2, Infinity])/48 - (11*S[3, Infinity])/32) - 
   (1109*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((13*S[2, Infinity]^2)/240 + 
     (11*S[1, Infinity]*S[3, Infinity])/24) - 
   (5139*S[2, Infinity]*S[5, Infinity])/224 + (173637*S[7, Infinity])/3584 - 
   (9*S[-5, 1, 1, Infinity])/7 + (54*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/16 - 
     (13*S[2, Infinity]*S[3, Infinity])/8 - (1491*S[5, Infinity])/128 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-1453*S[2, Infinity]^3)/1680 + (129*S[3, Infinity]^2)/28 - 
     (9*S[-5, -1, Infinity])/7 + S[1, Infinity]*
      ((13*S[2, Infinity]*S[3, Infinity])/8 + (375*S[5, Infinity])/64 + 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-3*S[2, Infinity]^3)/80 - (169*S[3, Infinity]^2)/64 + 
     6*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -1, -1, -1, 1, Infinity] -> S[-1, Infinity]^7/105 - 
   (11*S[-1, Infinity]^6*S[1, Infinity])/720 - 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + S[-1, Infinity]^4*
    ((5*S[1, Infinity]*S[2, Infinity])/48 - (11*S[3, Infinity])/32) - 
   (625*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^3*((13*S[2, Infinity]^2)/240 + 
     (11*S[1, Infinity]*S[3, Infinity])/24) - 
   (5139*S[2, Infinity]*S[5, Infinity])/224 + (213733*S[7, Infinity])/3584 - 
   (9*S[-5, 1, 1, Infinity])/7 + (54*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/16 - 
     (13*S[2, Infinity]*S[3, Infinity])/8 - (1491*S[5, Infinity])/128 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-103*S[2, Infinity]^3)/560 + (45*S[3, Infinity]^2)/28 - 
     (9*S[-5, -1, Infinity])/7 + S[1, Infinity]*
      ((13*S[2, Infinity]*S[3, Infinity])/8 + (375*S[5, Infinity])/64 + 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-1207*S[2, Infinity]^3)/1680 + (23*S[3, Infinity]^2)/64 + 
     6*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -1, -1, 1, -1, Infinity] -> (-17*S[-1, Infinity]^7)/840 + 
   (19*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (7*S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/48 - 
   (1441*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (12639*S[2, Infinity]*S[5, Infinity])/896 + (247335*S[7, Infinity])/7168 - 
   (39*S[-5, 1, 1, Infinity])/14 + (111*S[5, -1, -1, Infinity])/28 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((-77*S[2, Infinity]^2)/240 + 
     (S[1, Infinity]*S[3, Infinity])/48 + S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 - 
     (1509*S[5, Infinity])/128 + S[1, Infinity]*((5*S[2, Infinity]^2)/16 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*(S[2, Infinity]^3/160 + (195*S[3, Infinity]^2)/56 - 
     (39*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/16 + 6*S[5, Infinity] + 
       6*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-23*S[2, Infinity]^3)/35 - (179*S[3, Infinity]^2)/128 + 
     (15*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -1, -1, 1, 1, Infinity] -> (-17*S[-1, Infinity]^7)/840 + 
   (19*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (7*S[-1, Infinity]^4*S[1, Infinity]*S[2, Infinity])/48 - 
   (1329*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (8607*S[2, Infinity]*S[5, Infinity])/896 + (192679*S[7, Infinity])/7168 - 
   (39*S[-5, 1, 1, Infinity])/14 + (111*S[5, -1, -1, Infinity])/28 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((-77*S[2, Infinity]^2)/240 + 
     (S[1, Infinity]*S[3, Infinity])/48 + S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 - 
     (1509*S[5, Infinity])/128 + S[1, Infinity]*((5*S[2, Infinity]^2)/16 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((27*S[2, Infinity]^3)/224 + (223*S[3, Infinity]^2)/56 - 
     (39*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/16 + 6*S[5, Infinity] + 
       6*S[-1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    ((-27*S[2, Infinity]^3)/35 - (243*S[3, Infinity]^2)/128 + 
     (15*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^7/840 + 
   (S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/48 - S[3, Infinity]/64) - 
   (S[2, Infinity]^2*S[3, Infinity])/160 + S[-1, Infinity]^3*
    ((-47*S[2, Infinity]^2)/240 + (S[1, Infinity]*S[3, Infinity])/48) + 
   S[1, Infinity]*((53*S[2, Infinity]^3)/560 + S[3, Infinity]^2/128) + 
   S[-1, Infinity]*((-53*S[2, Infinity]^3)/560 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/16 + 
       (3*S[5, Infinity])/64)) + S[-1, Infinity]^2*
    ((3*S[1, Infinity]*S[2, Infinity]^2)/16 + (S[2, Infinity]*S[3, Infinity])/
      16 - (35*S[5, Infinity])/128) - (S[2, Infinity]*S[5, Infinity])/4 + 
   (119*S[7, Infinity])/512, S[1, -1, 1, -1, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/840 + (S[-1, Infinity]^6*S[1, Infinity])/720 + 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/48 - S[3, Infinity]/64) - 
   (S[2, Infinity]^2*S[3, Infinity])/160 + S[-1, Infinity]^3*
    ((-47*S[2, Infinity]^2)/240 + (S[1, Infinity]*S[3, Infinity])/48) + 
   S[1, Infinity]*((-123*S[2, Infinity]^3)/560 + S[3, Infinity]^2/128) + 
   S[-1, Infinity]*((123*S[2, Infinity]^3)/560 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/16 + 
       (3*S[5, Infinity])/64)) + S[-1, Infinity]^2*
    ((3*S[1, Infinity]*S[2, Infinity]^2)/16 + (S[2, Infinity]*S[3, Infinity])/
      16 - (35*S[5, Infinity])/128) + (S[2, Infinity]*S[5, Infinity])/4 - 
   (9*S[7, Infinity])/512, S[1, -1, 1, -1, 1, 1, -1, Infinity] -> 
  (11*S[-1, Infinity]^7)/1260 - (S[-1, Infinity]^6*S[1, Infinity])/80 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (25*S[3, Infinity])/192) - (87*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (2545*S[2, Infinity]*S[5, Infinity])/896 + (32715*S[7, Infinity])/7168 + 
   (5*S[-5, 1, 1, Infinity])/7 + (27*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/240 + 
     (S[1, Infinity]*S[3, Infinity])/6 - S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-983*S[2, Infinity]^3)/3360 + (3*S[3, Infinity]^2)/28 + 
     (5*S[-5, -1, Infinity])/7 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/2 + 
       S[5, Infinity]/32 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/32 - 
     (33*S[5, Infinity])/128 + S[1, Infinity]*(S[2, Infinity]^2/16 + 
       S[-1, 1, 1, 1, Infinity]/2) + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((13*S[2, Infinity]^3)/105 - (7*S[3, Infinity]^2)/32 + 
     S[-5, -1, Infinity]/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -1, 1, 1, 1, Infinity] -> (11*S[-1, Infinity]^7)/1260 - 
   (S[-1, Infinity]^6*S[1, Infinity])/80 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/16 - 
     (25*S[3, Infinity])/192) - (759*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (2545*S[2, Infinity]*S[5, Infinity])/896 + (54219*S[7, Infinity])/7168 + 
   (5*S[-5, 1, 1, Infinity])/7 + (27*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/240 + 
     (S[1, Infinity]*S[3, Infinity])/6 - S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-349*S[2, Infinity]^3)/1120 - (25*S[3, Infinity]^2)/28 + 
     (5*S[-5, -1, Infinity])/7 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/2 + 
       S[5, Infinity]/32 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/32 - 
     (33*S[5, Infinity])/128 + S[1, Infinity]*(S[2, Infinity]^2/16 + 
       S[-1, 1, 1, 1, Infinity]/2) + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*(S[2, Infinity]^3/7 + (25*S[3, Infinity]^2)/32 + 
     S[-5, -1, Infinity]/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, -1, -1, -1, Infinity] -> (43*S[-1, Infinity]^7)/1680 - 
   (13*S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/24 - 
     (37*S[3, Infinity])/192) + (19*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (359*S[2, Infinity]*S[5, Infinity])/32 - (27963*S[7, Infinity])/1024 + 
   (9*S[-5, 1, 1, Infinity])/4 - (13*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((11*S[2, Infinity]^2)/60 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((389*S[2, Infinity]^3)/1120 - (49*S[3, Infinity]^2)/16 + 
     (9*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/8 - 
       4*S[5, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((39*S[2, Infinity]*S[3, Infinity])/32 + 
     (565*S[5, Infinity])/64 + S[1, Infinity]*((-7*S[2, Infinity]^2)/40 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((5*S[2, Infinity]^3)/21 + (75*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, -1, -1, 1, Infinity] -> (43*S[-1, Infinity]^7)/1680 - 
   (13*S[-1, Infinity]^6*S[1, Infinity])/360 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/24 - 
     (37*S[3, Infinity])/192) + (11*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (263*S[2, Infinity]*S[5, Infinity])/32 - (20987*S[7, Infinity])/1024 + 
   (9*S[-5, 1, 1, Infinity])/4 - (13*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((11*S[2, Infinity]^2)/60 + 
     (7*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((911*S[2, Infinity]^3)/3360 - (33*S[3, Infinity]^2)/16 + 
     (9*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[1, Infinity]*((-7*S[2, Infinity]*S[3, Infinity])/8 - 
       4*S[5, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*((39*S[2, Infinity]*S[3, Infinity])/32 + 
     (565*S[5, Infinity])/64 + S[1, Infinity]*((-7*S[2, Infinity]^2)/40 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((11*S[2, Infinity]^3)/35 + (11*S[3, Infinity]^2)/64 - 
     (5*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/240 + 
   (S[-1, Infinity]^6*S[1, Infinity])/180 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/80 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 + (29*S[3, Infinity])/192) + 
   (299*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^3*((-23*S[2, Infinity]^2)/120 - 
     (7*S[1, Infinity]*S[3, Infinity])/48) + 
   (1713*S[2, Infinity]*S[5, Infinity])/112 - (28929*S[7, Infinity])/896 + 
   (6*S[-5, 1, 1, Infinity])/7 - (36*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]*((323*S[2, Infinity]^3)/840 - (137*S[3, Infinity]^2)/56 + 
     (6*S[-5, -1, Infinity])/7 + S[1, Infinity]*
      ((-9*S[2, Infinity]*S[3, Infinity])/16 - (63*S[5, Infinity])/32 - 
       S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((S[1, Infinity]*S[2, Infinity]^2)/5 + (13*S[2, Infinity]*S[3, Infinity])/
      16 + (435*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*(S[2, Infinity]^3/120 + (153*S[3, Infinity]^2)/128 - 
     3*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, -1, 1, 1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/240 + (S[-1, Infinity]^6*S[1, Infinity])/180 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/80 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/24 + (29*S[3, Infinity])/192) + 
   (4071*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^3*((-23*S[2, Infinity]^2)/120 - 
     (7*S[1, Infinity]*S[3, Infinity])/48) + 
   (1713*S[2, Infinity]*S[5, Infinity])/112 - (35761*S[7, Infinity])/896 + 
   (6*S[-5, 1, 1, Infinity])/7 - (36*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]*((-11*S[2, Infinity]^3)/280 - (109*S[3, Infinity]^2)/56 + 
     (6*S[-5, -1, Infinity])/7 + S[1, Infinity]*
      ((-9*S[2, Infinity]*S[3, Infinity])/16 - (63*S[5, Infinity])/32 - 
       S[-1, 1, 1, 1, 1, Infinity])) + S[-1, Infinity]^2*
    ((S[1, Infinity]*S[2, Infinity]^2)/5 + (13*S[2, Infinity]*S[3, Infinity])/
      16 + (435*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((121*S[2, Infinity]^3)/280 + (89*S[3, Infinity]^2)/128 - 
     3*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, 1, -1, -1, Infinity] -> (-53*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^6*S[1, Infinity])/72 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/12 + (5*S[3, Infinity])/32) - 
   (23*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (3*S[2, Infinity]*S[5, Infinity])/4 - (2627*S[7, Infinity])/1024 + 
   S[-5, 1, 1, Infinity]/4 - S[5, -1, -1, Infinity]/4 + 
   S[-1, Infinity]^3*((-7*S[2, Infinity]^2)/60 - 
     (7*S[1, Infinity]*S[3, Infinity])/48 + S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((49*S[3, Infinity]^2)/128 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     S[5, Infinity]/64 + S[1, Infinity]*(S[2, Infinity]^2/8 - 
       S[-1, 1, 1, 1, Infinity]/2) - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-367*S[2, Infinity]^3)/1120 - (11*S[3, Infinity]^2)/16 + 
     S[-5, -1, Infinity]/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/16 + S[5, Infinity] + 
       S[-1, 1, 1, 1, 1, Infinity])) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, 1, -1, 1, Infinity] -> (-53*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^6*S[1, Infinity])/72 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/40 + S[-1, Infinity]^4*
    (-(S[1, Infinity]*S[2, Infinity])/12 + (5*S[3, Infinity])/32) + 
   (73*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (3*S[2, Infinity]*S[5, Infinity])/4 - (4675*S[7, Infinity])/1024 + 
   S[-5, 1, 1, Infinity]/4 - S[5, -1, -1, Infinity]/4 + 
   S[-1, Infinity]^3*((-7*S[2, Infinity]^2)/60 - 
     (7*S[1, Infinity]*S[3, Infinity])/48 + S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]*((2*S[2, Infinity]^3)/5 - (15*S[3, Infinity]^2)/128 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     S[5, Infinity]/64 + S[1, Infinity]*(S[2, Infinity]^2/8 - 
       S[-1, 1, 1, 1, Infinity]/2) - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-163*S[2, Infinity]^3)/224 - (3*S[3, Infinity]^2)/16 + 
     S[-5, -1, Infinity]/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/16 + S[5, Infinity] + 
       S[-1, 1, 1, 1, 1, Infinity])) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^7/1680 + 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + (S[2, Infinity]^2*S[3, Infinity])/
    40 + S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 + 
     (63*S[5, Infinity])/64) + (33*S[2, Infinity]*S[5, Infinity])/64 - 
   (891*S[7, Infinity])/256 + S[-1, Infinity]*((-3*S[2, Infinity]^3)/7 - 
     (5*S[3, Infinity]^2)/8 + S[-5, -1, Infinity]/2) + 
   S[-5, 1, 1, Infinity]/2 + S[1, Infinity]*((8*S[2, Infinity]^3)/35 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^7/1680 + 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (3*S[2, Infinity]^2*S[3, Infinity])/8 + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/4 + (63*S[5, Infinity])/64) - 
   (31*S[2, Infinity]*S[5, Infinity])/64 - (123*S[7, Infinity])/256 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/5 - (5*S[3, Infinity]^2)/8 + 
     S[-5, -1, Infinity]/2) + S[-5, 1, 1, Infinity]/2 + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, -1, -1, -1, Infinity] -> (5*S[-1, Infinity]^7)/1008 - 
   (S[-1, Infinity]^6*S[1, Infinity])/90 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/240 + S[2, Infinity]/240) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/48 - 
     (9*S[3, Infinity])/32) - (153*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/24 - 
     (107*S[2, Infinity]^2)/240 + (5*S[1, Infinity]*S[3, Infinity])/12) + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 - 
     (3*S[5, Infinity])/32) + S[-1, Infinity]^2*
    ((3*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (S[1, Infinity]^2*S[3, Infinity])/16 - (9*S[2, Infinity]*S[3, Infinity])/
      8 + (29*S[5, Infinity])/64) - (1243*S[2, Infinity]*S[5, Infinity])/
    448 - (12071*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((9*S[1, Infinity]^2*S[2, Infinity]^2)/80 - (47*S[2, Infinity]^3)/28 - 
     (29*S[3, Infinity]^2)/28 + S[1, Infinity]*
      ((9*S[2, Infinity]*S[3, Infinity])/8 + 2*S[5, Infinity]) + 
     (17*S[-5, -1, Infinity])/7) + (17*S[-5, 1, 1, Infinity])/7 + 
   (13*S[5, -1, -1, Infinity])/14 + S[1, Infinity]*
    ((34*S[2, Infinity]^3)/35 - (27*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/4 + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, -1, -1, 1, Infinity] -> (5*S[-1, Infinity]^7)/1008 - 
   (S[-1, Infinity]^6*S[1, Infinity])/90 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/240 + S[2, Infinity]/240) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/48 - 
     (9*S[3, Infinity])/32) - (1497*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/24 - 
     (107*S[2, Infinity]^2)/240 + (5*S[1, Infinity]*S[3, Infinity])/12) + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 + 
     (29*S[5, Infinity])/32) - (795*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((3*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (S[1, Infinity]^2*S[3, Infinity])/16 - (9*S[2, Infinity]*S[3, Infinity])/
      8 + (93*S[5, Infinity])/64) + (23769*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((9*S[1, Infinity]^2*S[2, Infinity]^2)/80 - 
     (15*S[2, Infinity]^3)/28 + (9*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (85*S[3, Infinity]^2)/28 + 
     (17*S[-5, -1, Infinity])/7) + (17*S[-5, 1, 1, Infinity])/7 + 
   (13*S[5, -1, -1, Infinity])/14 + S[1, Infinity]*
    ((-6*S[2, Infinity]^3)/35 + (101*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/4 + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, -1, 1, -1, Infinity] -> (127*S[-1, Infinity]^7)/5040 - 
   (5*S[-1, Infinity]^6*S[1, Infinity])/72 + S[-1, Infinity]^5*
    ((13*S[1, Infinity]^2)/240 - (7*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/24 - 
     (39*S[3, Infinity])/64) - (395*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[1, Infinity]*((-29*S[2, Infinity]^3)/60 + (177*S[3, Infinity]^2)/128) + 
   (5127*S[7, Infinity])/7168 + (25*S[-5, 1, 1, Infinity])/14 - 
   (13*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-5*S[1, Infinity]^2*S[2, Infinity])/24 - (251*S[2, Infinity]^2)/240 + 
     (31*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-1159*S[2, Infinity]^3)/1120 + 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (125*S[3, Infinity]^2)/56 + (25*S[-5, -1, Infinity])/14 + 
     S[1, Infinity]^2*((-19*S[2, Infinity]^2)/80 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-23*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (7*S[2, Infinity]*S[3, Infinity])/16 - (73*S[5, Infinity])/128 + 
     S[1, Infinity]*((43*S[2, Infinity]^2)/40 + (3*S[-1, 1, 1, 1, Infinity])/
        2)) + S[2, Infinity]*((723*S[5, Infinity])/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    ((-23*S[2, Infinity]*S[3, Infinity])/32 + (375*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, -1, 1, 1, Infinity] -> (127*S[-1, Infinity]^7)/5040 - 
   (5*S[-1, Infinity]^6*S[1, Infinity])/72 + S[-1, Infinity]^5*
    ((13*S[1, Infinity]^2)/240 - (7*S[2, Infinity])/120) + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/24 - 
     (39*S[3, Infinity])/64) + (53*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[1, Infinity]*((29*S[2, Infinity]^3)/60 - (79*S[3, Infinity]^2)/128) - 
   (93881*S[7, Infinity])/7168 + (25*S[-5, 1, 1, Infinity])/14 - 
   (13*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-5*S[1, Infinity]^2*S[2, Infinity])/24 - (251*S[2, Infinity]^2)/240 + 
     (31*S[1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-1345*S[2, Infinity]^3)/672 - (13*S[3, Infinity]^2)/56 + 
     S[1, Infinity]*((-25*S[2, Infinity]*S[3, Infinity])/16 + 
       (11*S[5, Infinity])/2) + (25*S[-5, -1, Infinity])/14 + 
     S[1, Infinity]^2*((-19*S[2, Infinity]^2)/80 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-23*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (9*S[2, Infinity]*S[3, Infinity])/16 - (425*S[5, Infinity])/128 + 
     S[1, Infinity]*((43*S[2, Infinity]^2)/40 + (3*S[-1, 1, 1, 1, Infinity])/
        2)) + S[1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/32 + 
     (23*S[5, Infinity])/128 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1955*S[5, Infinity])/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, 1, -1, -1, Infinity] -> (17*S[-1, Infinity]^7)/2520 - 
   (7*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 - S[2, Infinity]/48) + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/48 - 
     (7*S[3, Infinity])/64) - (3*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 - 
     (41*S[2, Infinity]^2)/60 + (7*S[1, Infinity]*S[3, Infinity])/24) + 
   S[-1, Infinity]^2*((6*S[1, Infinity]*S[2, Infinity]^2)/5 - 
     (7*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (7*S[2, Infinity]*S[3, Infinity])/16 + (81*S[5, Infinity])/128) - 
   (136197*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((-3*S[1, Infinity]^2*S[2, Infinity]^2)/5 - (745*S[2, Infinity]^3)/224 + 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (65*S[3, Infinity]^2)/28 + (13*S[-5, -1, Infinity])/7) + 
   (13*S[-5, 1, 1, Infinity])/7 - (53*S[5, -1, -1, Infinity])/28 + 
   S[1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 - 
     (81*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((229*S[5, Infinity])/112 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]*((27*S[2, Infinity]^3)/35 + 
     (229*S[3, Infinity]^2)/128 - (15*S[-5, -1, Infinity])/4 + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, 1, -1, 1, Infinity] -> (17*S[-1, Infinity]^7)/2520 - 
   (7*S[-1, Infinity]^6*S[1, Infinity])/360 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 - S[2, Infinity]/48) + 
   S[-1, Infinity]^4*((5*S[1, Infinity]*S[2, Infinity])/48 - 
     (7*S[3, Infinity])/64) + (201*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 - 
     (41*S[2, Infinity]^2)/60 + (7*S[1, Infinity]*S[3, Infinity])/24) + 
   S[-1, Infinity]^2*((6*S[1, Infinity]*S[2, Infinity]^2)/5 - 
     (7*S[1, Infinity]^2*S[3, Infinity])/32 + (S[2, Infinity]*S[3, Infinity])/
      16 - (207*S[5, Infinity])/128) - (258053*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((-3*S[1, Infinity]^2*S[2, Infinity]^2)/5 - 
     (4941*S[2, Infinity]^3)/1120 - (51*S[3, Infinity]^2)/28 + 
     S[1, Infinity]*((-9*S[2, Infinity]*S[3, Infinity])/16 + 
       (9*S[5, Infinity])/2) + (13*S[-5, -1, Infinity])/7) + 
   (13*S[-5, 1, 1, Infinity])/7 - (53*S[5, -1, -1, Infinity])/28 + 
   S[1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/32 - 
     (369*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((649*S[5, Infinity])/112 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]*((13*S[2, Infinity]^3)/7 + 
     (165*S[3, Infinity]^2)/128 - (15*S[-5, -1, Infinity])/4 + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, 1, 1, -1, Infinity] -> -20*S[7, Infinity] + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
   S[-1, Infinity]^2*(-2*S[5, Infinity] - 
     (S[1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-16*S[2, Infinity]^3)/7 + 4*S[1, Infinity]*
      S[5, Infinity] + (S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*(-2*S[5, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-2*S[5, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((16*S[2, Infinity]^3)/7 + 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   20*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, 1, 1, 1, Infinity] -> 
  (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^2*S[1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((S[1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
   2*S[1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   10*S[1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] - 
   20*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, -1, -1, -1, Infinity] -> (-43*S[-1, Infinity]^7)/2520 + 
   (37*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*((-11*S[1, Infinity]^2)/240 + S[2, Infinity]/48) + 
   S[-1, Infinity]^4*((-11*S[1, Infinity]*S[2, Infinity])/48 + 
     (29*S[3, Infinity])/96) + (671*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (33513*S[7, Infinity])/1792 + (11*S[-5, 1, 1, Infinity])/28 - 
   (33*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^2*
    ((11*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (5*S[2, Infinity]*S[3, Infinity])/4 + (309*S[5, Infinity])/128 + 
     S[1, Infinity]*(S[2, Infinity]^2/10 - (3*S[-1, 1, 1, 1, Infinity])/2)) + 
   S[-1, Infinity]^3*((5*S[1, Infinity]^2*S[2, Infinity])/24 + 
     (5*S[2, Infinity]^2)/48 - (11*S[1, Infinity]*S[3, Infinity])/12 + 
     S[-1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((-59*S[2, Infinity]^3)/140 - (13*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (27*S[3, Infinity]^2)/112 + 
     (11*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]^2*(-S[2, Infinity]^2/16 + (3*S[-1, 1, 1, 1, Infinity])/
        2)) + S[1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 - 
     (369*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1737*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((47*S[2, Infinity]^3)/105 - (13*S[3, Infinity]^2)/64 - 
     3*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, -1, -1, 1, Infinity] -> (-43*S[-1, Infinity]^7)/2520 + 
   (37*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*((-11*S[1, Infinity]^2)/240 + S[2, Infinity]/48) + 
   S[-1, Infinity]^4*((-11*S[1, Infinity]*S[2, Infinity])/48 + 
     (29*S[3, Infinity])/96) + (111*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (32393*S[7, Infinity])/1792 + (11*S[-5, 1, 1, Infinity])/28 - 
   (33*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^2*
    ((11*S[1, Infinity]^2*S[3, Infinity])/16 - 
     (S[2, Infinity]*S[3, Infinity])/4 + (597*S[5, Infinity])/128 + 
     S[1, Infinity]*(S[2, Infinity]^2/10 - (3*S[-1, 1, 1, 1, Infinity])/2)) + 
   S[-1, Infinity]^3*((5*S[1, Infinity]^2*S[2, Infinity])/24 + 
     (5*S[2, Infinity]^2)/48 - (11*S[1, Infinity]*S[3, Infinity])/12 + 
     S[-1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    (-S[2, Infinity]^3/60 - (195*S[3, Infinity]^2)/112 + 
     S[1, Infinity]*((11*S[2, Infinity]*S[3, Infinity])/8 - 
       (9*S[5, Infinity])/2) + (11*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[1, Infinity]^2*(-S[2, Infinity]^2/16 + (3*S[-1, 1, 1, 1, Infinity])/
        2)) + S[1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/16 - 
     (81*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((2969*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((3*S[2, Infinity]^3)/70 + (83*S[3, Infinity]^2)/64 - 
     3*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^7/315 - 
   (S[-1, Infinity]^6*S[1, Infinity])/144 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/240 - S[2, Infinity]/24) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (5*S[3, Infinity])/192) - (53*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (S[1, Infinity]*S[3, Infinity]^2)/128 + S[-1, Infinity]^3*
    (-(S[1, Infinity]^2*S[2, Infinity])/24 + (5*S[2, Infinity]^2)/48 - 
     (S[1, Infinity]*S[3, Infinity])/24) + S[-1, Infinity]^2*
    ((-2*S[1, Infinity]*S[2, Infinity]^2)/5 + 
     (S[1, Infinity]^2*S[3, Infinity])/32 - (S[2, Infinity]*S[3, Infinity])/
      4 + S[5, Infinity]/128) + S[1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/32 + (3*S[5, Infinity])/128) - 
   (631*S[2, Infinity]*S[5, Infinity])/224 + (32715*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((3*S[1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (17*S[2, Infinity]^3)/224 - (29*S[3, Infinity]^2)/56 + 
     S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/16 - S[5, Infinity]/2) + 
     (5*S[-5, -1, Infinity])/7) + (5*S[-5, 1, 1, Infinity])/7 + 
   (27*S[5, -1, -1, Infinity])/28 - S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^7/315 - 
   (S[-1, Infinity]^6*S[1, Infinity])/144 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/240 - S[2, Infinity]/24) + 
   S[-1, Infinity]^4*((S[1, Infinity]*S[2, Infinity])/12 - 
     (5*S[3, Infinity])/192) - (601*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (63*S[1, Infinity]*S[3, Infinity]^2)/128 + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/24 + 
     (5*S[2, Infinity]^2)/48 - (S[1, Infinity]*S[3, Infinity])/24) + 
   S[-1, Infinity]^2*((-2*S[1, Infinity]*S[2, Infinity]^2)/5 + 
     (S[1, Infinity]^2*S[3, Infinity])/32 + (S[2, Infinity]*S[3, Infinity])/
      4 - (31*S[5, Infinity])/128) + S[1, Infinity]^2*
    ((15*S[2, Infinity]*S[3, Infinity])/32 - (29*S[5, Infinity])/128) - 
   (687*S[2, Infinity]*S[5, Infinity])/224 + (54219*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((3*S[1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (17*S[2, Infinity]^3)/224 - (15*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - S[3, Infinity]^2/56 + (5*S[-5, -1, Infinity])/
      7) + (5*S[-5, 1, 1, Infinity])/7 + (27*S[5, -1, -1, Infinity])/28 - 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 1, -1, -1, Infinity] -> 
  (47*S[-1, Infinity]^7)/5040 - (17*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 - (13*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/48 - 
     (53*S[3, Infinity])/192) - (83*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (123437*S[7, Infinity])/7168 - (5*S[-5, 1, 1, Infinity])/28 + 
   (79*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^2*
    ((-7*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (S[2, Infinity]*S[3, Infinity])/4 - (141*S[5, Infinity])/32 + 
     S[1, Infinity]*((-3*S[2, Infinity]^2)/8 + S[-1, 1, 1, 1, Infinity]/2)) + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 + 
     S[2, Infinity]^2/40 + (11*S[1, Infinity]*S[3, Infinity])/24 - 
     S[-1, 1, 1, 1, Infinity]/6) + S[-1, Infinity]*
    ((-491*S[2, Infinity]^3)/3360 + (179*S[3, Infinity]^2)/112 + 
     S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/16 + 3*S[5, Infinity]) - 
     (5*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*(S[2, Infinity]^2/5 - 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-1783*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, 
      Infinity]) + S[1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/32 + 
     (27*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[2, Infinity]^3/60 - (167*S[3, Infinity]^2)/128 + 
     3*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 1, -1, 1, Infinity] -> 
  (47*S[-1, Infinity]^7)/5040 - (17*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(S[1, Infinity]^2/60 - (13*S[2, Infinity])/240) + 
   S[-1, Infinity]^4*((7*S[1, Infinity]*S[2, Infinity])/48 - 
     (53*S[3, Infinity])/192) - (3327*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (172269*S[7, Infinity])/7168 - (5*S[-5, 1, 1, Infinity])/28 + 
   (79*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^2*
    ((-7*S[1, Infinity]^2*S[3, Infinity])/32 - 
     (3*S[2, Infinity]*S[3, Infinity])/4 - (93*S[5, Infinity])/32 + 
     S[1, Infinity]*((-3*S[2, Infinity]^2)/8 + S[-1, 1, 1, 1, Infinity]/2)) + 
   S[-1, Infinity]^3*(-(S[1, Infinity]^2*S[2, Infinity])/12 + 
     S[2, Infinity]^2/40 + (11*S[1, Infinity]*S[3, Infinity])/24 - 
     S[-1, 1, 1, 1, Infinity]/6) + S[-1, Infinity]*
    ((423*S[2, Infinity]^3)/1120 + (17*S[1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (11*S[3, Infinity]^2)/112 - 
     (5*S[-5, -1, Infinity])/28 + S[1, Infinity]^2*(S[2, Infinity]^2/5 - 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-1447*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, 
      Infinity]) + S[1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/32 + 
     (123*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-71*S[2, Infinity]^3)/140 + (25*S[3, Infinity]^2)/128 + 
     3*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (S[-1, Infinity]^5*S[2, Infinity])/30 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/24 - S[3, Infinity]/6) - 
   (3*S[2, Infinity]^2*S[3, Infinity])/40 + S[-1, Infinity]^3*
    ((-11*S[2, Infinity]^2)/120 + (S[1, Infinity]*S[3, Infinity])/6) + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (3*S[2, Infinity]*S[3, Infinity])/4 - (95*S[5, Infinity])/64) + 
   (893*S[7, Infinity])/256 + S[-1, Infinity]*((29*S[2, Infinity]^3)/140 - 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
     (5*S[3, Infinity]^2)/8 - S[-5, -1, Infinity]/2) - 
   S[-5, 1, 1, Infinity]/2 + S[2, Infinity]*((-33*S[5, Infinity])/64 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]^2*
    (S[5, Infinity]/2 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((-13*S[2, Infinity]^3)/35 - S[3, Infinity]^2/8 + 
     S[-5, -1, Infinity]/2 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, -1, 1, 1, 1, 1, Infinity] -> 
  (13*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^6*S[1, Infinity])/240 - 
   (S[-1, Infinity]^5*S[2, Infinity])/30 + S[-1, Infinity]^4*
    ((S[1, Infinity]*S[2, Infinity])/24 - S[3, Infinity]/6) + 
   (17*S[2, Infinity]^2*S[3, Infinity])/40 + S[-1, Infinity]^3*
    ((-11*S[2, Infinity]^2)/120 + (S[1, Infinity]*S[3, Infinity])/6) + 
   S[-1, Infinity]^2*((S[1, Infinity]*S[2, Infinity]^2)/40 + 
     (3*S[2, Infinity]*S[3, Infinity])/4 - (127*S[5, Infinity])/64) - 
   (387*S[7, Infinity])/256 + S[-1, Infinity]*(S[2, Infinity]^3/28 + 
     (9*S[3, Infinity]^2)/8 + S[1, Infinity]*
      (-(S[2, Infinity]*S[3, Infinity])/2 + S[5, Infinity]) - 
     S[-5, -1, Infinity]/2) - S[-5, 1, 1, Infinity]/2 + 
   S[2, Infinity]*((63*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*(-S[2, Infinity]^3/5 - (5*S[3, Infinity]^2)/8 + 
     S[-5, -1, Infinity]/2 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, -1, -1, -1, Infinity] -> (-2*S[-1, Infinity]^7)/315 + 
   (17*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*((-7*S[1, Infinity]^2)/240 - S[2, Infinity]/48) + 
   (3*S[1, Infinity]^3*S[2, Infinity]^2)/80 + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/144 + (79*S[3, Infinity])/288) + 
   (627*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^3*((9*S[2, Infinity]^2)/16 - 
     (17*S[1, Infinity]*S[3, Infinity])/24) + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/24 - 
     (77*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (9*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (55*S[2, Infinity]*S[3, Infinity])/48 - (23*S[5, Infinity])/128) + 
   (28107*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((39*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (173*S[2, Infinity]^3)/80 - 
     (S[1, Infinity]^3*S[3, Infinity])/24 - 
     (9*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (617*S[3, Infinity]^2)/336 - (43*S[-5, -1, Infinity])/28) - 
   (43*S[-5, 1, 1, Infinity])/28 + (5*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((5*S[5, Infinity])/448 + (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 + 
     (23*S[5, Infinity])/128 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-61*S[2, Infinity]^3)/112 - (55*S[3, Infinity]^2)/32 + 
     (9*S[-5, -1, Infinity])/4 - 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, -1, -1, 1, Infinity] -> (-2*S[-1, Infinity]^7)/315 + 
   (17*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*((-7*S[1, Infinity]^2)/240 - S[2, Infinity]/48) - 
   (19*S[1, Infinity]^3*S[2, Infinity]^2)/240 + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/144 + (79*S[3, Infinity])/288) - 
   (307*S[2, Infinity]^2*S[3, Infinity])/336 + 
   S[-1, Infinity]^3*((163*S[2, Infinity]^2)/240 - 
     (17*S[1, Infinity]*S[3, Infinity])/24) + 
   S[-1, Infinity]^2*((S[1, Infinity]^3*S[2, Infinity])/24 - 
     (21*S[1, Infinity]*S[2, Infinity]^2)/16 + 
     (9*S[1, Infinity]^2*S[3, Infinity])/16 + 
     (7*S[2, Infinity]*S[3, Infinity])/48 + (329*S[5, Infinity])/128) + 
   (67531*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((67*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (1081*S[2, Infinity]^3)/
      336 - (S[1, Infinity]^3*S[3, Infinity])/24 + (281*S[3, Infinity]^2)/
      336 + S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/8 - 
       (11*S[5, Infinity])/2) - (43*S[-5, -1, Infinity])/28) - 
   (43*S[-5, 1, 1, Infinity])/28 + (5*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((-555*S[5, Infinity])/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/2 + (375*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    ((-2687*S[2, Infinity]^3)/1680 - (23*S[3, Infinity]^2)/32 + 
     (9*S[-5, -1, Infinity])/4 - 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/144 + 
   (S[-1, Infinity]^6*S[1, Infinity])/36 + S[-1, Infinity]^5*
    (-S[1, Infinity]^2/24 - S[2, Infinity]/48) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/36 + (53*S[3, Infinity])/576) - 
   (2*S[2, Infinity]^2*S[3, Infinity])/5 + S[-1, Infinity]^3*
    ((S[1, Infinity]^2*S[2, Infinity])/8 + (13*S[2, Infinity]^2)/40 - 
     (7*S[1, Infinity]*S[3, Infinity])/48) + 
   S[-1, Infinity]*((3*S[1, Infinity]^2*S[2, Infinity]^2)/5 + 
     (101*S[2, Infinity]^3)/35 - (7*S[1, Infinity]^3*S[3, Infinity])/48 - 
     (7*S[3, Infinity]^2)/24 + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/16 - 6*S[5, Infinity])) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/12 - 
     (17*S[1, Infinity]*S[2, Infinity]^2)/20 + 
     (7*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (5*S[2, Infinity]*S[3, Infinity])/96 + 3*S[5, Infinity]) + 
   15*S[7, Infinity] + S[1, Infinity]^3*(-S[2, Infinity]^2/5 - 
     S[-1, 1, 1, 1, Infinity]/2) - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[1, Infinity]^2*(3*S[5, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(3*S[5, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-101*S[2, Infinity]^3)/35 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, -1, 1, 1, Infinity] -> -S[-1, Infinity]^7/144 + 
   (S[-1, Infinity]^6*S[1, Infinity])/36 + S[-1, Infinity]^5*
    (-S[1, Infinity]^2/24 - S[2, Infinity]/48) + 
   S[-1, Infinity]^4*(S[1, Infinity]^3/36 + (53*S[3, Infinity])/576) + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/8 + 
     S[2, Infinity]^2/8 - (7*S[1, Infinity]*S[3, Infinity])/48) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/12 - 
     (S[1, Infinity]*S[2, Infinity]^2)/4 + 
     (7*S[1, Infinity]^2*S[3, Infinity])/32 + 
     (5*S[2, Infinity]*S[3, Infinity])/96) + 
   S[-1, Infinity]*((-7*S[1, Infinity]^3*S[3, Infinity])/48 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (7*S[3, Infinity]^2)/24) - (S[1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/
    2 - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   3*S[1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
   3*S[2, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((-3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, 1, -1, -1, Infinity] -> (-23*S[-1, Infinity]^7)/5040 + 
   (11*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/60 + (3*S[2, Infinity])/80) - 
   (S[1, Infinity]^3*S[2, Infinity]^2)/48 + S[-1, Infinity]^4*
    (S[1, Infinity]^3/144 - (S[1, Infinity]*S[2, Infinity])/8 + 
     (77*S[3, Infinity])/576) + (149*S[2, Infinity]^2*S[3, Infinity])/1680 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/8 + 
     (77*S[2, Infinity]^2)/240 - (7*S[1, Infinity]*S[3, Infinity])/48) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/24 - 
     (27*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]^2*S[3, Infinity])/32 + 
     (37*S[2, Infinity]*S[3, Infinity])/96 + S[5, Infinity]/128) + 
   (3*S[1, Infinity]^2*S[5, Infinity])/128 + 
   (947*S[2, Infinity]*S[5, Infinity])/448 - (5161*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((3*S[1, Infinity]^2*S[2, Infinity]^2)/80 + 
     (1153*S[2, Infinity]^3)/1680 + (S[1, Infinity]^3*S[3, Infinity])/48 + 
     (83*S[3, Infinity]^2)/336 + S[1, Infinity]*
      ((-7*S[2, Infinity]*S[3, Infinity])/16 - S[5, Infinity]/2) - 
     (27*S[-5, -1, Infinity])/28) - (27*S[-5, 1, 1, Infinity])/28 - 
   (5*S[5, -1, -1, Infinity])/7 + S[1, Infinity]*
    ((-649*S[2, Infinity]^3)/1680 + (7*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity]/4 - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, 1, -1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^7)/5040 + (11*S[-1, Infinity]^6*S[1, Infinity])/720 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/60 + (3*S[2, Infinity])/80) + 
   (S[1, Infinity]^3*S[2, Infinity]^2)/16 + S[-1, Infinity]^4*
    (S[1, Infinity]^3/144 - (S[1, Infinity]*S[2, Infinity])/8 + 
     (77*S[3, Infinity])/576) + (163*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/8 + 
     (19*S[2, Infinity]^2)/80 - (7*S[1, Infinity]*S[3, Infinity])/48) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]^3*S[2, Infinity])/24 - 
     (7*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]^2*S[3, Infinity])/32 + 
     (37*S[2, Infinity]*S[3, Infinity])/96 - (31*S[5, Infinity])/128) - 
   (29*S[1, Infinity]^2*S[5, Infinity])/128 + 
   (835*S[2, Infinity]*S[5, Infinity])/448 - (19497*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-17*S[1, Infinity]^2*S[2, Infinity]^2)/80 + 
     (31*S[2, Infinity]^3)/560 + (S[1, Infinity]^3*S[3, Infinity])/48 - 
     (7*S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (419*S[3, Infinity]^2)/336 - (27*S[-5, -1, Infinity])/28) - 
   (27*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/7 + 
   S[1, Infinity]*((137*S[2, Infinity]^3)/560 - (25*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity]/4 - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, 1, 1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/72 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/80 + (3*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/8 + 
     S[3, Infinity]/4) + (97*S[2, Infinity]^2*S[3, Infinity])/120 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/12 + 
     (29*S[2, Infinity]^2)/120 - (S[1, Infinity]*S[3, Infinity])/2) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/20 + 
     (S[1, Infinity]^2*S[3, Infinity])/4 + (33*S[5, Infinity])/64) - 
   (387*S[7, Infinity])/256 + S[-1, Infinity]*
    ((-7*S[1, Infinity]^2*S[2, Infinity]^2)/40 + (9*S[2, Infinity]^3)/280 + 
     (5*S[3, Infinity]^2)/8 - S[-5, -1, Infinity]/2) - 
   S[-5, 1, 1, Infinity]/2 + S[1, Infinity]^3*(S[2, Infinity]^2/15 + 
     S[-1, 1, 1, 1, Infinity]/6) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    3 + S[1, Infinity]*((51*S[2, Infinity]^3)/140 - S[3, Infinity]^2/2 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 - 
     (63*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) - 
   (S[2, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, -1, 1, 1, 1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^6*S[1, Infinity])/72 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/80 + (3*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*(-(S[1, Infinity]*S[2, Infinity])/8 + 
     S[3, Infinity]/4) - (13*S[2, Infinity]^2*S[3, Infinity])/40 + 
   S[-1, Infinity]^3*((S[1, Infinity]^2*S[2, Infinity])/12 + 
     (37*S[2, Infinity]^2)/120 - (S[1, Infinity]*S[3, Infinity])/2) + 
   S[-1, Infinity]^2*(-(S[1, Infinity]*S[2, Infinity]^2)/4 + 
     (S[1, Infinity]^2*S[3, Infinity])/4 - (S[2, Infinity]*S[3, Infinity])/
      2 + (97*S[5, Infinity])/64) + (893*S[7, Infinity])/256 + 
   S[-1, Infinity]*((S[1, Infinity]^2*S[2, Infinity]^2)/40 + 
     (157*S[2, Infinity]^3)/280 - (3*S[3, Infinity]^2)/8 + 
     S[1, Infinity]*(S[2, Infinity]*S[3, Infinity] - 2*S[5, Infinity]) - 
     S[-5, -1, Infinity]/2) - S[-5, 1, 1, Infinity]/2 + 
   (S[1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]*((-23*S[2, Infinity]^3)/140 + S[3, Infinity]^2/2 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[5, Infinity] - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 + S[5, Infinity]/64 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, -1, -1, -1, Infinity] -> S[-1, Infinity]^7/240 - 
   (S[-1, Infinity]^6*S[1, Infinity])/48 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/24 + (3*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/24 - 
     (5*S[1, Infinity]*S[2, Infinity])/48 - S[3, Infinity]/6) - 
   (S[1, Infinity]^4*S[3, Infinity])/96 + 
   (11*S[2, Infinity]^2*S[3, Infinity])/32 + S[-1, Infinity]^3*
    (S[1, Infinity]^4/144 - (49*S[2, Infinity]^2)/240 + 
     (7*S[1, Infinity]*S[3, Infinity])/18) + S[-1, Infinity]^2*
    ((S[1, Infinity]^3*S[2, Infinity])/24 + 
     (29*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (S[1, Infinity]^2*S[3, Infinity])/2 - (5*S[2, Infinity]*S[3, Infinity])/
      12 - 2*S[5, Infinity]) + S[-1, Infinity]*
    ((S[1, Infinity]^4*S[2, Infinity])/48 - 
     (19*S[1, Infinity]^2*S[2, Infinity]^2)/40 - (913*S[2, Infinity]^3)/560 + 
     (S[1, Infinity]^3*S[3, Infinity])/3 + (2*S[3, Infinity]^2)/3 + 
     S[1, Infinity]*((7*S[2, Infinity]*S[3, Infinity])/6 + 
       4*S[5, Infinity])) - 6*S[7, Infinity] + 
   S[1, Infinity]^3*(S[2, Infinity]^2/5 + S[-1, 1, 1, 1, Infinity]/2) + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*(-2*S[5, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 - 2*S[5, Infinity] - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((61*S[2, Infinity]^3)/35 - S[3, Infinity]^2/12 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, -1, -1, 1, Infinity] -> S[-1, Infinity]^7/240 - 
   (S[-1, Infinity]^6*S[1, Infinity])/48 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/24 + (3*S[2, Infinity])/80) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/24 - 
     (5*S[1, Infinity]*S[2, Infinity])/48 - S[3, Infinity]/12) + 
   (7*S[1, Infinity]^4*S[3, Infinity])/96 + 
   (63*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^3*(S[1, Infinity]^4/144 - S[2, Infinity]^2/240 + 
     (S[1, Infinity]*S[3, Infinity])/18) + S[-1, Infinity]^2*
    ((S[1, Infinity]^3*S[2, Infinity])/24 + (S[1, Infinity]*S[2, Infinity]^2)/
      8 + (S[2, Infinity]*S[3, Infinity])/12) + 
   S[-1, Infinity]*((S[1, Infinity]^4*S[2, Infinity])/48 + 
     (S[1, Infinity]^2*S[2, Infinity]^2)/8 + (9*S[2, Infinity]^3)/80 + 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/6) + 
   (S[1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + S[1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/16 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
   2*S[2, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*((7*S[3, Infinity]^2)/12 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^7/280 - 
   (S[-1, Infinity]^6*S[1, Infinity])/60 + S[-1, Infinity]^5*
    ((7*S[1, Infinity]^2)/240 - S[2, Infinity]/240) - 
   (S[1, Infinity]^3*S[2, Infinity]^2)/120 + S[-1, Infinity]^4*
    (-S[1, Infinity]^3/48 + (S[1, Infinity]*S[2, Infinity])/16 - 
     S[3, Infinity]/6) + (S[1, Infinity]^4*S[3, Infinity])/192 - 
   (589*S[2, Infinity]^2*S[3, Infinity])/960 + 
   S[-1, Infinity]^3*(S[1, Infinity]^4/144 - 
     (S[1, Infinity]^2*S[2, Infinity])/8 - (77*S[2, Infinity]^2)/240 + 
     (7*S[1, Infinity]*S[3, Infinity])/18) + S[-1, Infinity]^2*
    ((S[1, Infinity]^3*S[2, Infinity])/12 + 
     (5*S[1, Infinity]*S[2, Infinity]^2)/8 - 
     (S[1, Infinity]^2*S[3, Infinity])/4 - (S[2, Infinity]*S[3, Infinity])/
      3 - S[5, Infinity]/64) - (123*S[7, Infinity])/256 + 
   S[-1, Infinity]*(-(S[1, Infinity]^4*S[2, Infinity])/48 - 
     (3*S[1, Infinity]^2*S[2, Infinity]^2)/10 - (401*S[2, Infinity]^3)/560 + 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/3 - 
     (5*S[3, Infinity]^2)/8 + S[-5, -1, Infinity]/2) + 
   S[-5, 1, 1, Infinity]/2 + S[2, Infinity]*((-15*S[5, Infinity])/32 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/32 + S[5, Infinity]/64 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]*
    ((7*S[2, Infinity]^3)/40 + (2*S[3, Infinity]^2)/3 - 
     S[-5, -1, Infinity]/2 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/280 - (S[-1, Infinity]^6*S[1, Infinity])/60 + 
   S[-1, Infinity]^5*((7*S[1, Infinity]^2)/240 - S[2, Infinity]/240) + 
   (S[1, Infinity]^3*S[2, Infinity]^2)/120 + S[-1, Infinity]^4*
    (-S[1, Infinity]^3/48 + (S[1, Infinity]*S[2, Infinity])/16 - 
     (5*S[3, Infinity])/24) - (7*S[1, Infinity]^4*S[3, Infinity])/192 + 
   (91*S[2, Infinity]^2*S[3, Infinity])/960 + 
   S[-1, Infinity]^3*(S[1, Infinity]^4/144 - 
     (S[1, Infinity]^2*S[2, Infinity])/8 - (27*S[2, Infinity]^2)/80 + 
     (5*S[1, Infinity]*S[3, Infinity])/9) + S[-1, Infinity]^2*
    ((S[1, Infinity]^3*S[2, Infinity])/12 + 
     (27*S[1, Infinity]*S[2, Infinity]^2)/40 - 
     (S[1, Infinity]^2*S[3, Infinity])/2 - (S[2, Infinity]*S[3, Infinity])/
      12 - (65*S[5, Infinity])/64) - (891*S[7, Infinity])/256 + 
   S[-1, Infinity]*(-(S[1, Infinity]^4*S[2, Infinity])/48 - 
     (7*S[1, Infinity]^2*S[2, Infinity]^2)/20 - (15*S[2, Infinity]^3)/16 + 
     (S[1, Infinity]^3*S[3, Infinity])/6 + (5*S[3, Infinity]^2)/24 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/6 + 2*S[5, Infinity]) + 
     S[-5, -1, Infinity]/2) + S[-5, 1, 1, Infinity]/2 + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/32 - 
     (63*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-15*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((111*S[2, Infinity]^3)/280 - S[3, Infinity]^2/6 - 
     S[-5, -1, Infinity]/2 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[1, 1, 1, 1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/720 + (S[-1, Infinity]^6*S[1, Infinity])/120 + 
   S[-1, Infinity]^5*(-S[1, Infinity]^2/48 - S[2, Infinity]/48) + 
   (S[1, Infinity]^5*S[2, Infinity])/240 + S[-1, Infinity]^4*
    (S[1, Infinity]^3/36 + (S[1, Infinity]*S[2, Infinity])/12 + 
     S[3, Infinity]/18) - (7*S[1, Infinity]^4*S[3, Infinity])/192 - 
   (109*S[2, Infinity]^2*S[3, Infinity])/960 + 
   S[-1, Infinity]^3*(-S[1, Infinity]^4/72 - 
     (S[1, Infinity]^2*S[2, Infinity])/12 - (3*S[2, Infinity]^2)/40 - 
     (S[1, Infinity]*S[3, Infinity])/9) + S[-1, Infinity]*
    (-(S[1, Infinity]^4*S[2, Infinity])/48 - 
     (S[1, Infinity]^2*S[2, Infinity]^2)/8 - (9*S[2, Infinity]^3)/80 - 
     (S[1, Infinity]*S[2, Infinity]*S[3, Infinity])/6) + 
   S[-1, Infinity]^2*(S[1, Infinity]^5/240 + 
     (S[1, Infinity]^3*S[2, Infinity])/24 + 
     (9*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (S[1, Infinity]^2*S[3, Infinity])/12 + (S[2, Infinity]*S[3, Infinity])/
      12 + S[5, Infinity]/10) + S[1, Infinity]^3*(S[2, Infinity]^2/24 - 
     S[-1, 1, 1, 1, Infinity]/6) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    3 + S[1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/96 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    (S[5, Infinity]/10 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((9*S[2, Infinity]^3)/80 - (7*S[3, Infinity]^2)/24 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - S[-1, 1, 1, 1, 1, 1, 
      Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^7/720 + 
   (S[-1, Infinity]^6*S[1, Infinity])/120 + S[-1, Infinity]^5*
    (-S[1, Infinity]^2/48 - S[2, Infinity]/80) - 
   (S[1, Infinity]^5*S[2, Infinity])/240 + S[-1, Infinity]^4*
    (S[1, Infinity]^3/36 + (S[1, Infinity]*S[2, Infinity])/24 + 
     (7*S[3, Infinity])/72) + (S[1, Infinity]^4*S[3, Infinity])/192 - 
   (181*S[2, Infinity]^2*S[3, Infinity])/960 + 
   S[-1, Infinity]^3*(-S[1, Infinity]^4/72 + (3*S[2, Infinity]^2)/40 - 
     (5*S[1, Infinity]*S[3, Infinity])/18) + 
   S[-1, Infinity]*((S[1, Infinity]^4*S[2, Infinity])/48 + 
     (13*S[1, Infinity]^2*S[2, Infinity]^2)/40 + (303*S[2, Infinity]^3)/560 - 
     (S[1, Infinity]^3*S[3, Infinity])/6 - S[3, Infinity]^2/3 + 
     S[1, Infinity]*(-(S[2, Infinity]*S[3, Infinity])/3 - S[5, Infinity])) + 
   S[-1, Infinity]^2*(S[1, Infinity]^5/240 - 
     (S[1, Infinity]^3*S[2, Infinity])/24 - 
     (27*S[1, Infinity]*S[2, Infinity]^2)/80 + 
     (S[1, Infinity]^2*S[3, Infinity])/3 + (S[2, Infinity]*S[3, Infinity])/
      6 + (3*S[5, Infinity])/5) + S[7, Infinity] + 
   S[1, Infinity]^3*((-13*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      6) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((2*S[5, Infinity])/5 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/96 + 
     S[5, Infinity]/2 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((-303*S[2, Infinity]^3)/560 + S[3, Infinity]^2/24 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - S[-1, 1, 1, 1, 1, 1, 
      Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^7/5040 - 
   (S[-1, Infinity]^6*S[1, Infinity])/720 + S[-1, Infinity]^5*
    (S[1, Infinity]^2/240 + S[2, Infinity]/240) + 
   S[-1, Infinity]^4*(-S[1, Infinity]^3/144 - (S[1, Infinity]*S[2, Infinity])/
      48 - S[3, Infinity]/72) + S[-1, Infinity]^3*(S[1, Infinity]^4/144 + 
     (S[1, Infinity]^2*S[2, Infinity])/24 + (3*S[2, Infinity]^2)/80 + 
     (S[1, Infinity]*S[3, Infinity])/18) + S[-1, Infinity]*
    (S[1, Infinity]^6/720 + (S[1, Infinity]^4*S[2, Infinity])/48 + 
     (9*S[1, Infinity]^2*S[2, Infinity]^2)/80 + (61*S[2, Infinity]^3)/560 + 
     (S[1, Infinity]^3*S[3, Infinity])/18 + S[3, Infinity]^2/18 + 
     S[1, Infinity]*((S[2, Infinity]*S[3, Infinity])/6 + S[5, Infinity]/5)) + 
   S[-1, Infinity]^2*(-S[1, Infinity]^5/240 - 
     (S[1, Infinity]^3*S[2, Infinity])/24 - 
     (9*S[1, Infinity]*S[2, Infinity]^2)/80 - 
     (S[1, Infinity]^2*S[3, Infinity])/12 - (S[2, Infinity]*S[3, Infinity])/
      12 - S[5, Infinity]/10), S[1, 1, 1, 1, 1, 1, 1, Infinity] -> 
  S[1, Infinity]^7/5040 + (S[1, Infinity]^5*S[2, Infinity])/240 + 
   (3*S[1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (S[1, Infinity]^4*S[3, Infinity])/72 + (3*S[2, Infinity]^2*S[3, Infinity])/
    40 + S[1, Infinity]*((61*S[2, Infinity]^3)/560 + S[3, Infinity]^2/18) + 
   S[1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/12 + 
     S[5, Infinity]/10) + (S[2, Infinity]*S[5, Infinity])/10 + 
   S[7, Infinity]/7, S[-1, 1, 1, 1, 1, 1, -1, Infinity] -> 
  S[7, Infinity] + S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^7/252 - 
   (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (2*S[2, Infinity]^2*S[3, Infinity])/5 + (365*S[7, Infinity])/512 - 
   S[-5, 1, 1, Infinity]/2 - S[5, -1, -1, Infinity]/2 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/12 - S[-1, 1, 1, 1, Infinity]/6) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((15*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/16 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((177*S[2, Infinity]^3)/560 + (5*S[3, Infinity]^2)/8 - 
     S[-5, -1, Infinity]/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, 1, -1, -1, Infinity] -> S[-1, Infinity]^7/252 - 
   (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (4*S[2, Infinity]^2*S[3, Infinity])/5 - (1683*S[7, Infinity])/512 - 
   S[-5, 1, 1, Infinity]/2 - S[5, -1, -1, Infinity]/2 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/12 - S[-1, 1, 1, 1, Infinity]/6) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((47*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/16 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((177*S[2, Infinity]^3)/560 + (5*S[3, Infinity]^2)/8 - 
     S[-5, -1, Infinity]/2 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^7/504 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (S[2, Infinity]^2*S[3, Infinity])/20 - (4675*S[7, Infinity])/1024 + 
   S[-5, 1, 1, Infinity]/4 - S[5, -1, -1, Infinity]/4 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/32 + 
     S[5, Infinity]/2 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((175*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((71*S[2, Infinity]^3)/160 - (3*S[3, Infinity]^2)/16 - 
     S[-5, -1, Infinity]/4 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^7/504 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (3*S[2, Infinity]^2*S[3, Infinity])/20 - (2627*S[7, Infinity])/1024 + 
   S[-5, 1, 1, Infinity]/4 - S[5, -1, -1, Infinity]/4 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/32 + 
     S[5, Infinity]/2 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((47*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((71*S[2, Infinity]^3)/160 - (3*S[3, Infinity]^2)/16 - 
     S[-5, -1, Infinity]/4 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, -1, -1, 1, Infinity] -> (-5*S[-1, Infinity]^7)/504 + 
   (S[-1, Infinity]^5*S[2, Infinity])/12 + 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   2*S[2, Infinity]^2*S[3, Infinity] + (8415*S[7, Infinity])/1024 + 
   (5*S[-5, 1, 1, Infinity])/4 + (5*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((-5*S[2, Infinity]^2)/24 + S[-1, 1, 1, 1, Infinity]/
      2) - (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-35*S[2, Infinity]*S[3, Infinity])/32 + 
     S[5, Infinity]/2 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-267*S[5, Infinity])/64 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-7*S[2, Infinity]^3)/32 - (25*S[3, Infinity]^2)/16 + 
     (5*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   5*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, -1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^7)/504 + 
   (S[-1, Infinity]^5*S[2, Infinity])/12 + 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (6*S[2, Infinity]^2*S[3, Infinity])/5 - (1825*S[7, Infinity])/1024 + 
   (5*S[-5, 1, 1, Infinity])/4 + (5*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((-5*S[2, Infinity]^2)/24 + S[-1, 1, 1, 1, Infinity]/
      2) - (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-35*S[2, Infinity]*S[3, Infinity])/32 + 
     S[5, Infinity]/2 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((53*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/32 - (25*S[3, Infinity]^2)/16 + 
     (5*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   5*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/315 + (S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (529*S[2, Infinity]^2*S[3, Infinity])/280 + (172269*S[7, Infinity])/7168 - 
   (5*S[-5, 1, 1, Infinity])/28 + (79*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/60 + S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-69*S[2, Infinity]^3)/1120 + (81*S[3, Infinity]^2)/112 - 
     (5*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     (249*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-2105*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^7/315 + 
   (S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (333*S[2, Infinity]^2*S[3, Infinity])/280 + (123437*S[7, Infinity])/7168 - 
   (5*S[-5, 1, 1, Infinity])/28 + (79*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/60 + S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-69*S[2, Infinity]^3)/1120 + (81*S[3, Infinity]^2)/112 - 
     (5*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     (249*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-1657*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, 1, -1, 1, Infinity] -> S[-1, Infinity]^7/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (9*S[2, Infinity]^2*S[3, Infinity])/560 + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/32 - (249*S[5, Infinity])/64) - 
   (401*S[2, Infinity]*S[5, Infinity])/112 + (51375*S[7, Infinity])/7168 - 
   (8*S[-5, 1, 1, Infinity])/7 + (45*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]*((-131*S[2, Infinity]^3)/480 + (369*S[3, Infinity]^2)/
      224 - (39*S[-5, -1, Infinity])/28 - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^7/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (383*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/32 - 
     (249*S[5, Infinity])/64) - (681*S[2, Infinity]*S[5, Infinity])/112 + 
   (106031*S[7, Infinity])/7168 - (8*S[-5, 1, 1, Infinity])/7 + 
   (45*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]*
    ((-131*S[2, Infinity]^3)/480 + (369*S[3, Infinity]^2)/224 - 
     (39*S[-5, -1, Infinity])/28 - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, -1, 1, 1, Infinity] -> (17*S[-1, Infinity]^7)/2520 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (47*S[2, Infinity]^2*S[3, Infinity])/56 + (6441*S[7, Infinity])/896 - 
   (29*S[-5, 1, 1, Infinity])/14 + (3*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((23*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      2) + (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((297*S[5, Infinity])/448 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/8 - (283*S[5, Infinity])/64 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((67*S[2, Infinity]^3)/280 + (145*S[3, Infinity]^2)/56 - 
     (29*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, -1, 1, -1, Infinity] -> (17*S[-1, Infinity]^7)/2520 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (47*S[2, Infinity]^2*S[3, Infinity])/56 + (22569*S[7, Infinity])/896 - 
   (29*S[-5, 1, 1, Infinity])/14 + (3*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((23*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      2) + (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-4183*S[5, Infinity])/448 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/8 - (283*S[5, Infinity])/64 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((67*S[2, Infinity]^3)/280 + (145*S[3, Infinity]^2)/56 - 
     (29*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, -1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (9*S[2, Infinity]^2*S[3, Infinity])/560 + (110305*S[7, Infinity])/3584 - 
   (59*S[-5, 1, 1, Infinity])/28 + (37*S[5, -1, -1, Infinity])/14 + 
   S[2, Infinity]*((-6089*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/16 - (283*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-377*S[2, Infinity]^3)/1680 + (429*S[3, Infinity]^2)/224 + 
     S[-5, -1, Infinity]/7 - 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, -1, -1, -1, Infinity] -> (-13*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (569*S[2, Infinity]^2*S[3, Infinity])/560 + (84545*S[7, Infinity])/3584 - 
   (59*S[-5, 1, 1, Infinity])/28 + (37*S[5, -1, -1, Infinity])/14 + 
   S[2, Infinity]*((-3625*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/16 - (283*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-377*S[2, Infinity]^3)/1680 + (429*S[3, Infinity]^2)/224 + 
     S[-5, -1, Infinity]/7 - 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^7/560 + 
   (S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (149*S[2, Infinity]^2*S[3, Infinity])/112 - (19497*S[7, Infinity])/3584 - 
   (27*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((2321*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 + 
     (33*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((15*S[2, Infinity]^3)/56 + (65*S[3, Infinity]^2)/112 - 
     (13*S[-5, -1, Infinity])/28 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^7/560 + 
   (S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (73*S[2, Infinity]^2*S[3, Infinity])/560 - (5161*S[7, Infinity])/3584 - 
   (27*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((1425*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 + 
     (33*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((15*S[2, Infinity]^3)/56 + (65*S[3, Infinity]^2)/112 - 
     (13*S[-5, -1, Infinity])/28 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 1, 1, -1, 1, Infinity] -> (11*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + (S[-1, Infinity]^4*S[3, Infinity])/
    96 - (1819*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (106031*S[7, Infinity])/7168 - (8*S[-5, 1, 1, Infinity])/7 + 
   (45*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((5*S[2, Infinity]^2)/48 - S[-1, 1, 1, 1, Infinity]/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-6925*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/16 + 
     (33*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-529*S[2, Infinity]^3)/3360 + (111*S[3, Infinity]^2)/
      896 + (13*S[-5, -1, Infinity])/7 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 1, 1, -1, -1, Infinity] -> (11*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + (S[-1, Infinity]^4*S[3, Infinity])/
    96 - (1371*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (51375*S[7, Infinity])/7168 - (8*S[-5, 1, 1, Infinity])/7 + 
   (45*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((5*S[2, Infinity]^2)/48 - S[-1, 1, 1, 1, Infinity]/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-2445*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/16 + 
     (33*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-529*S[2, Infinity]^3)/3360 + (111*S[3, Infinity]^2)/
      896 + (13*S[-5, -1, Infinity])/7 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^7/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (29*S[2, Infinity]^2*S[3, Infinity])/64 + 
   S[-1, Infinity]*((-123*S[2, Infinity]^3)/560 + S[3, Infinity]^2/128) + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 + 
     (3*S[5, Infinity])/128) - (3*S[2, Infinity]*S[5, Infinity])/128 + 
   (119*S[7, Infinity])/512, S[-1, 1, -1, 1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/5040 - (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (3*S[2, Infinity]^2*S[3, Infinity])/64 + S[-1, Infinity]*
    ((-123*S[2, Infinity]^3)/560 + S[3, Infinity]^2/128) + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 + 
     (3*S[5, Infinity])/128) - (3*S[2, Infinity]*S[5, Infinity])/128 - 
   (9*S[7, Infinity])/512, S[-1, 1, -1, 1, -1, -1, 1, Infinity] -> 
  (-59*S[-1, Infinity]^7)/5040 + (23*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (19*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1899*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (62033*S[7, Infinity])/7168 + (33*S[-5, 1, 1, Infinity])/28 - 
   (51*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-3*S[2, Infinity]^2)/16 + S[-1, 1, 1, 1, Infinity]/2) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-19*S[2, Infinity]*S[3, Infinity])/32 + 
     (3*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((3429*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((463*S[2, Infinity]^3)/1120 - (79*S[3, Infinity]^2)/448 - 
     (51*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 1, -1, -1, -1, Infinity] -> (-59*S[-1, Infinity]^7)/5040 + 
   (23*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (19*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (219*S[2, Infinity]^2*S[3, Infinity])/1120 - (92049*S[7, Infinity])/7168 + 
   (33*S[-5, 1, 1, Infinity])/28 - (51*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-3*S[2, Infinity]^2)/16 + S[-1, 1, 1, 1, Infinity]/
      2) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-19*S[2, Infinity]*S[3, Infinity])/32 + 
     (3*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((7461*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((463*S[2, Infinity]^3)/1120 - (79*S[3, Infinity]^2)/448 - 
     (51*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^7/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (121*S[2, Infinity]^2*S[3, Infinity])/560 - (136197*S[7, Infinity])/7168 + 
   (13*S[-5, 1, 1, Infinity])/7 - (53*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/48 + S[-1, 1, 1, 1, Infinity]/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 + 
     (849*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2399*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-493*S[2, Infinity]^3)/1120 - (65*S[3, Infinity]^2)/28 + 
     (13*S[-5, -1, Infinity])/7 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^7/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (69*S[2, Infinity]^2*S[3, Infinity])/112 - (258053*S[7, Infinity])/7168 + 
   (13*S[-5, 1, 1, Infinity])/7 - (53*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/48 + S[-1, 1, 1, 1, Infinity]/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 + 
     (849*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((11359*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-493*S[2, Infinity]^3)/1120 - (65*S[3, Infinity]^2)/28 + 
     (13*S[-5, -1, Infinity])/7 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, 1, -1, 1, Infinity] -> (19*S[-1, Infinity]^7)/5040 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (545*S[2, Infinity]^2*S[3, Infinity])/448 - (19395*S[7, Infinity])/448 + 
   (45*S[-5, 1, 1, Infinity])/14 - (30*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 + 
     (849*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((16089*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((13*S[2, Infinity]^3)/140 - (2333*S[3, Infinity]^2)/896 - 
     (15*S[-5, -1, Infinity])/28 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, 1, -1, -1, Infinity] -> (19*S[-1, Infinity]^7)/5040 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (545*S[2, Infinity]^2*S[3, Infinity])/448 - (16539*S[7, Infinity])/448 + 
   (45*S[-5, 1, 1, Infinity])/14 - (30*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 + 
     (849*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((12057*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((13*S[2, Infinity]^3)/140 - (2333*S[3, Infinity]^2)/896 - 
     (15*S[-5, -1, Infinity])/28 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, -1, 1, 1, Infinity] -> (7*S[-1, Infinity]^7)/720 - 
   (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1921*S[2, Infinity]^2*S[3, Infinity])/448 - (372097*S[7, Infinity])/
    7168 + (3*S[-5, 1, 1, Infinity])/28 - (165*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((11*S[2, Infinity]^2)/48 - S[-1, 1, 1, 1, Infinity]/
      2) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((1051*S[2, Infinity]^3)/3360 - (1457*S[3, Infinity]^2)/
      896 + (3*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((17981*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((11*S[2, Infinity]*S[3, Infinity])/8 + (1119*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, -1, 1, -1, Infinity] -> (7*S[-1, Infinity]^7)/720 - 
   (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (3781*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (254721*S[7, Infinity])/7168 + (3*S[-5, 1, 1, Infinity])/28 - 
   (165*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((11*S[2, Infinity]^2)/48 - S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((1051*S[2, Infinity]^3)/3360 - (1457*S[3, Infinity]^2)/
      896 + (3*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((13053*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((11*S[2, Infinity]*S[3, Infinity])/8 + (1119*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, -1, -1, 1, Infinity] -> (-11*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (17*S[2, Infinity]^2*S[3, Infinity])/32 + 
   (681*S[2, Infinity]*S[5, Infinity])/128 + S[-1, Infinity]^2*
    ((13*S[2, Infinity]*S[3, Infinity])/16 + (1119*S[5, Infinity])/128) - 
   (213*S[7, Infinity])/16 + (9*S[-5, 1, 1, Infinity])/4 - 
   3*S[5, -1, -1, Infinity] + S[-1, Infinity]*((39*S[2, Infinity]^3)/80 - 
     (223*S[3, Infinity]^2)/64 + 3*S[-5, -1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, -1, -1, -1, Infinity] -> (-11*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (251*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (1641*S[2, Infinity]*S[5, Infinity])/128 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 + 
     (1119*S[5, Infinity])/128) - (63*S[7, Infinity])/2 + 
   (9*S[-5, 1, 1, Infinity])/4 - 3*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]*((39*S[2, Infinity]^3)/80 - (223*S[3, Infinity]^2)/64 + 
     3*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, 1, 1, -1, Infinity] -> -6*S[7, Infinity] + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^7/252 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (4*S[2, Infinity]^2*S[3, Infinity])/5 - (1825*S[7, Infinity])/1024 + 
   (5*S[-5, 1, 1, Infinity])/4 + (5*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/12 - S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-305*S[2, Infinity]^3)/224 - (151*S[3, Infinity]^2)/
      128 + (5*S[-5, -1, Infinity])/4 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    ((-171*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) - 
   5*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, 1, -1, -1, Infinity] -> S[-1, Infinity]^7/252 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 2*S[2, Infinity]^2*
    S[3, Infinity] + (8415*S[7, Infinity])/1024 + 
   (5*S[-5, 1, 1, Infinity])/4 + (5*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/12 - S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-305*S[2, Infinity]^3)/224 - (151*S[3, Infinity]^2)/
      128 + (5*S[-5, -1, Infinity])/4 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    ((-235*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) - 
   5*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^7/504 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (7*S[2, Infinity]^2*S[3, Infinity])/20 - (27963*S[7, Infinity])/1024 + 
   (9*S[-5, 1, 1, Infinity])/4 - (13*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 + 
     (91*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((655*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-3593*S[2, Infinity]^3)/3360 - 
     (207*S[3, Infinity]^2)/128 - (3*S[-5, -1, Infinity])/4 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^7/504 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (17*S[2, Infinity]^2*S[3, Infinity])/20 - (20987*S[7, Infinity])/1024 + 
   (9*S[-5, 1, 1, Infinity])/4 - (13*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 + 
     (91*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((463*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-3593*S[2, Infinity]^3)/3360 - 
     (207*S[3, Infinity]^2)/128 - (3*S[-5, -1, Infinity])/4 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, -1, -1, 1, Infinity] -> (-5*S[-1, Infinity]^7)/504 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (787*S[2, Infinity]^2*S[3, Infinity])/140 - (84669*S[7, Infinity])/1792 - 
   (6*S[-5, 1, 1, Infinity])/7 - (41*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/24 + S[-1, 1, 1, 1, Infinity]/2) + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/4 + 
     (91*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3441*S[5, Infinity])/224 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((143*S[2, Infinity]^3)/280 + (557*S[3, Infinity]^2)/448 - 
     (47*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, -1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^7)/504 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (451*S[2, Infinity]^2*S[3, Infinity])/140 - (77501*S[7, Infinity])/1792 - 
   (6*S[-5, 1, 1, Infinity])/7 - (41*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/24 + S[-1, 1, 1, 1, Infinity]/2) + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/4 + 
     (91*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3441*S[5, Infinity])/224 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((143*S[2, Infinity]^3)/280 + (557*S[3, Infinity]^2)/448 - 
     (47*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^7/315 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (691*S[2, Infinity]^2*S[3, Infinity])/560 - (33513*S[7, Infinity])/1792 + 
   (11*S[-5, 1, 1, Infinity])/28 - (33*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-7*S[2, Infinity]^2)/60 + S[-1, 1, 1, 1, Infinity]/
      6) + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/16 + 
     (375*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((6071*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-17*S[2, Infinity]^3)/1680 - 
     (159*S[3, Infinity]^2)/224 + (9*S[-5, -1, Infinity])/14 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^7/315 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (859*S[2, Infinity]^2*S[3, Infinity])/560 - (32393*S[7, Infinity])/1792 + 
   (11*S[-5, 1, 1, Infinity])/28 - (33*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-7*S[2, Infinity]^2)/60 + S[-1, 1, 1, 1, Infinity]/
      6) + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/16 + 
     (375*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((6519*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-17*S[2, Infinity]^3)/1680 - 
     (159*S[3, Infinity]^2)/224 + (9*S[-5, -1, Infinity])/14 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, 1, -1, 1, Infinity] -> S[-1, Infinity]^7/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (39*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (4899*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/32 + 
     (375*S[5, Infinity])/128) - (62033*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((337*S[2, Infinity]^3)/1120 - (1425*S[3, Infinity]^2)/
      896 + (33*S[-5, -1, Infinity])/28) + (33*S[-5, 1, 1, Infinity])/28 - 
   (51*S[5, -1, -1, Infinity])/28 - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^7/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (179*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (4899*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/32 + 
     (375*S[5, Infinity])/128) - (92049*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((337*S[2, Infinity]^3)/1120 - (1425*S[3, Infinity]^2)/
      896 + (33*S[-5, -1, Infinity])/28) + (33*S[-5, 1, 1, Infinity])/28 - 
   (51*S[5, -1, -1, Infinity])/28 - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, -1, 1, 1, Infinity] -> (17*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1773*S[2, Infinity]^2*S[3, Infinity])/560 + (254007*S[7, Infinity])/
    7168 + (9*S[-5, 1, 1, Infinity])/14 + (123*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-13*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]/
      2) - (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-8979*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-49*S[2, Infinity]*S[3, Infinity])/32 - (81*S[5, Infinity])/128 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-27*S[2, Infinity]^3)/160 - (1637*S[3, Infinity]^2)/896 + 
     (123*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, -1, 1, -1, Infinity] -> (17*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1773*S[2, Infinity]^2*S[3, Infinity])/560 + (232503*S[7, Infinity])/
    7168 + (9*S[-5, 1, 1, Infinity])/14 + (123*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-13*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]/
      2) - (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-8979*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-49*S[2, Infinity]*S[3, Infinity])/32 - (81*S[5, Infinity])/128 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-27*S[2, Infinity]^3)/160 - (1637*S[3, Infinity]^2)/896 + 
     (123*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, -1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (277*S[2, Infinity]^2*S[3, Infinity])/140 + (92301*S[7, Infinity])/3584 - 
   (33*S[-5, 1, 1, Infinity])/14 + (51*S[5, -1, -1, Infinity])/14 + 
   S[2, Infinity]*((-9147*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/16 - (81*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-3*S[2, Infinity]^3)/80 + (249*S[3, Infinity]^2)/448 + 
     (51*S[-5, -1, Infinity])/14 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, -1, -1, -1, Infinity] -> (-13*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (81*S[2, Infinity]^2*S[3, Infinity])/140 + (58701*S[7, Infinity])/3584 - 
   (33*S[-5, 1, 1, Infinity])/14 + (51*S[5, -1, -1, Infinity])/14 + 
   S[2, Infinity]*((-5115*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/16 - (81*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-3*S[2, Infinity]^3)/80 + (249*S[3, Infinity]^2)/448 + 
     (51*S[-5, -1, Infinity])/14 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, 1, 1, 1, Infinity] -> S[-1, Infinity]^7/1680 - 
   (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (61*S[2, Infinity]^2*S[3, Infinity])/112 + (28107*S[7, Infinity])/3584 - 
   (43*S[-5, 1, 1, Infinity])/28 + (5*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 - 
     (535*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-151*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((149*S[2, Infinity]^3)/280 + 
     (215*S[3, Infinity]^2)/112 - (43*S[-5, -1, Infinity])/28 - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^7/1680 - 
   (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (143*S[2, Infinity]^2*S[3, Infinity])/560 + (67531*S[7, Infinity])/3584 - 
   (43*S[-5, 1, 1, Infinity])/28 + (5*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 - 
     (535*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-3735*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((149*S[2, Infinity]^3)/280 + 
     (215*S[3, Infinity]^2)/112 - (43*S[-5, -1, Infinity])/28 - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, 1, -1, 1, Infinity] -> (23*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (25*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (3809*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (110305*S[7, Infinity])/3584 - (59*S[-5, 1, 1, Infinity])/28 + 
   (37*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-29*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-6711*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/32 - 
     (535*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1511*S[2, Infinity]^3)/1680 + (753*S[3, Infinity]^2)/
      448 + (11*S[-5, -1, Infinity])/28 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, 1, -1, -1, Infinity] -> (23*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (25*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (S[2, Infinity]^2*S[3, Infinity])/2240 + (84545*S[7, Infinity])/3584 - 
   (59*S[-5, 1, 1, Infinity])/28 + (37*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-29*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/
      6) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-6711*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/32 - 
     (535*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1511*S[2, Infinity]^3)/1680 + (753*S[3, Infinity]^2)/
      448 + (11*S[-5, -1, Infinity])/28 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, -1, 1, 1, Infinity] -> (13*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (11093*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     (1113*S[5, Infinity])/128) - (20535*S[2, Infinity]*S[5, Infinity])/896 + 
   (213733*S[7, Infinity])/3584 - (9*S[-5, 1, 1, Infinity])/7 + 
   (54*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]*
    ((-179*S[2, Infinity]^3)/1680 + (797*S[3, Infinity]^2)/448 + 
     (12*S[-5, -1, Infinity])/7 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, -1, 1, -1, Infinity] -> (13*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (4597*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     (1113*S[5, Infinity])/128) - (20535*S[2, Infinity]*S[5, Infinity])/896 + 
   (173637*S[7, Infinity])/3584 - (9*S[-5, 1, 1, Infinity])/7 + 
   (54*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]*
    ((-179*S[2, Infinity]^3)/1680 + (797*S[3, Infinity]^2)/448 + 
     (12*S[-5, -1, Infinity])/7 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, -1, -1, 1, Infinity] -> (-47*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + (S[-1, Infinity]^4*S[3, Infinity])/
    48 - (271*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (58701*S[7, Infinity])/3584 - (33*S[-5, 1, 1, Infinity])/14 + 
   (51*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((41*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-31*S[2, Infinity]^3)/40 + (667*S[3, Infinity]^2)/224 - 
     (33*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-8307*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/4 - (1113*S[5, Infinity])/128 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, -1, -1, -1, Infinity] -> (-47*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + (S[-1, Infinity]^4*S[3, Infinity])/
    48 - (271*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (92301*S[7, Infinity])/3584 - (33*S[-5, 1, 1, Infinity])/14 + 
   (51*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((41*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-31*S[2, Infinity]^3)/40 + (667*S[3, Infinity]^2)/224 - 
     (33*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-12339*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/4 - (1113*S[5, Infinity])/128 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, 1, 1, 1, Infinity] -> (11*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (731*S[2, Infinity]^2*S[3, Infinity])/280 + (23769*S[7, Infinity])/3584 + 
   (17*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/240 + S[-1, 1, 1, 1, Infinity]/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-2097*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/16 - (35*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-331*S[2, Infinity]^3)/560 - (295*S[3, Infinity]^2)/224 + 
     (5*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, 1, 1, -1, Infinity] -> (11*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (59*S[2, Infinity]^2*S[3, Infinity])/280 - (12071*S[7, Infinity])/3584 + 
   (17*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/240 + S[-1, 1, 1, 1, Infinity]/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-2097*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/16 - (35*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-331*S[2, Infinity]^3)/560 - (295*S[3, Infinity]^2)/224 + 
     (5*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, 1, -1, 1, Infinity] -> (31*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (741*S[2, Infinity]^2*S[3, Infinity])/320 - (63*S[7, Infinity])/2 + 
   (9*S[-5, 1, 1, Infinity])/4 - 3*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     (35*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((283*S[5, Infinity])/32 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((-293*S[2, Infinity]^3)/280 - 
     (13*S[3, Infinity]^2)/64 - (15*S[-5, -1, Infinity])/4 + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, 1, -1, -1, Infinity] -> (31*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (69*S[2, Infinity]^2*S[3, Infinity])/320 - (213*S[7, Infinity])/16 + 
   (9*S[-5, 1, 1, Infinity])/4 - 3*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     (35*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((107*S[5, Infinity])/32 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((-293*S[2, Infinity]^3)/280 - 
     (13*S[3, Infinity]^2)/64 - (15*S[-5, -1, Infinity])/4 + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, -1, 1, 1, Infinity] -> (61*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (29*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (2731*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (14321*S[7, Infinity])/3584 + (3*S[-5, 1, 1, Infinity])/28 - 
   (9*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-17*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/2) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/32 - 
     (3*S[5, Infinity])/32 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1385*S[5, Infinity])/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-31*S[2, Infinity]^3)/140 + (227*S[3, Infinity]^2)/448 - 
     (9*S[-5, -1, Infinity])/14 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, -1, 1, -1, Infinity] -> (61*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (29*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (81*S[2, Infinity]^2*S[3, Infinity])/448 + (20847*S[7, Infinity])/3584 + 
   (3*S[-5, 1, 1, Infinity])/28 - (9*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/
      2) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/32 - 
     (3*S[5, Infinity])/32 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((489*S[5, Infinity])/448 + (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((-31*S[2, Infinity]^3)/140 + 
     (227*S[3, Infinity]^2)/448 - (9*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, -1, -1, 1, Infinity] -> S[-1, Infinity]^7/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (9*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]*((61*S[2, Infinity]^3)/560 + S[3, Infinity]^2/32) + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 - 
     (3*S[5, Infinity])/32) - (3*S[2, Infinity]*S[5, Infinity])/32 + 
   (119*S[7, Infinity])/64, S[-1, -1, -1, -1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/5040 + (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (9*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]*((61*S[2, Infinity]^3)/560 + S[3, Infinity]^2/32) + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 - 
     (3*S[5, Infinity])/32) - (3*S[2, Infinity]*S[5, Infinity])/32 - 
   (9*S[7, Infinity])/64, S[2, 1, 1, 1, 1, 1, Infinity] -> 6*S[7, Infinity], 
 S[2, 1, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^7/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 6*S[7, Infinity] + 
   S[-1, Infinity]*((16*S[2, Infinity]^3)/7 - S[-1, 1, 1, 1, 1, 1, 
      Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, 1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^7/5040 - 
   (3*S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (21*S[2, Infinity]^2*S[3, Infinity])/40 - (359*S[7, Infinity])/256 + 
   (5*S[-5, 1, 1, Infinity])/2 - 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 + 
     (155*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((101*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((31*S[2, Infinity]^3)/35 - (5*S[3, Infinity]^2)/2 + 
     2*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/504 - (17*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (77*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (893*S[2, Infinity]^2*S[3, Infinity])/560 - (28107*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-91*S[2, Infinity]^3)/40 - (215*S[3, Infinity]^2)/112 + 
     (43*S[-5, -1, Infinity])/28) + (43*S[-5, 1, 1, Infinity])/28 - 
   (5*S[5, -1, -1, Infinity])/7 - 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((1943*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 + 
     (279*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) - 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/252 + (29*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (37*S[2, Infinity]^2*S[3, Infinity])/140 - (75135*S[7, Infinity])/3584 + 
   (15*S[-5, 1, 1, Infinity])/14 - (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-83*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/
      6) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((9*S[5, Infinity])/28 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/16 + 
     (93*S[5, Infinity])/64 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-409*S[2, Infinity]^3)/112 - (125*S[3, Infinity]^2)/
      224 + (37*S[-5, -1, Infinity])/28 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) - 15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, 1, -1, 1, -1, Infinity] -> (-17*S[-1, Infinity]^7)/5040 + 
   (31*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (447*S[2, Infinity]^2*S[3, Infinity])/560 - (2679*S[7, Infinity])/1792 + 
   (5*S[-5, 1, 1, Infinity])/28 + (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-27*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/
      6) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-1777*S[2, Infinity]^3)/560 - (25*S[3, Infinity]^2)/
      112 + (5*S[-5, -1, Infinity])/28 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-2899*S[5, Infinity])/896 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-27*S[2, Infinity]*S[3, Infinity])/16 - 
     (155*S[5, Infinity])/128 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 1, -1, -1, 1, Infinity] -> 
  (31*S[-1, Infinity]^7)/5040 + (29*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (25*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (1319*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/16 - 
     (93*S[5, Infinity])/64) + (1201*S[2, Infinity]*S[5, Infinity])/448 - 
   (23769*S[7, Infinity])/3584 - (17*S[-5, 1, 1, Infinity])/7 - 
   (13*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((21*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]/6) + 
   (25*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((699*S[2, Infinity]^3)/560 + (85*S[3, Infinity]^2)/28 - 
     (17*S[-5, -1, Infinity])/7 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, 1, -1, -1, -1, Infinity] -> S[-1, Infinity]^7/252 + 
   (17*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (353*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/8 - 
     (93*S[5, Infinity])/32) - (34521*S[7, Infinity])/1792 - 
   (34*S[-5, 1, 1, Infinity])/7 - (13*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((79*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/
      6) + (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-143*S[5, Infinity])/224 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-477*S[2, Infinity]^3)/280 + (975*S[3, Infinity]^2)/224 - 
     (73*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, -1, 1, 1, 1, Infinity] -> S[-1, Infinity]^7/48 - 
   (23*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (4329*S[2, Infinity]^2*S[3, Infinity])/2240 + (8273*S[7, Infinity])/7168 - 
   (55*S[-5, 1, 1, Infinity])/14 - (33*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((17*S[2, Infinity]^2)/15 - S[-1, 1, 1, 1, Infinity]/
      2) + (37*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((1425*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((17*S[2, Infinity]*S[3, Infinity])/8 - 
     (155*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((3349*S[2, Infinity]^3)/1120 + (4015*S[3, Infinity]^2)/
      896 - (45*S[-5, -1, Infinity])/7 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, -1, 1, 1, -1, Infinity] -> (3*S[-1, Infinity]^7)/140 - 
   (17*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (201*S[2, Infinity]^2*S[3, Infinity])/2240 + (56449*S[7, Infinity])/1792 - 
   (127*S[-5, 1, 1, Infinity])/28 + (26*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((71*S[2, Infinity]^2)/60 - S[-1, 1, 1, 1, Infinity]/
      2) + (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((123*S[2, Infinity]^3)/80 + (635*S[3, Infinity]^2)/112 - 
     (127*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-4895*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((65*S[2, Infinity]*S[3, Infinity])/32 - 
     (31*S[5, Infinity])/4 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -1, 1, -1, 1, Infinity] -> 
  (2*S[-1, Infinity]^7)/105 - (S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (79*S[2, Infinity]^2*S[3, Infinity])/28 + S[-1, Infinity]^2*
    ((-35*S[2, Infinity]*S[3, Infinity])/32 - (31*S[5, Infinity])/32) - 
   (1229*S[2, Infinity]*S[5, Infinity])/224 + (39911*S[7, Infinity])/1792 + 
   (6*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/10 - S[-1, 1, 1, 1, Infinity]/2) - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/20 - (529*S[3, Infinity]^2)/448 + 
     (6*S[-5, -1, Infinity])/7 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, -1, 1, -1, -1, Infinity] -> (17*S[-1, Infinity]^7)/1008 + 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (4033*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (6579*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 + 
     (961*S[5, Infinity])/128) - (184931*S[7, Infinity])/7168 + 
   (20*S[-5, 1, 1, Infinity])/7 - (137*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((11*S[2, Infinity]^2)/48 - S[-1, 1, 1, 1, Infinity]/
      2) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((2213*S[2, Infinity]^3)/1120 - (2437*S[3, Infinity]^2)/
      896 - S[-5, -1, Infinity]/7 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, -1, -1, 1, 1, Infinity] -> -S[-1, Infinity]^7/560 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (89*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1689*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-41*S[2, Infinity]*S[3, Infinity])/16 - 
     (93*S[5, Infinity])/64) - (7635*S[2, Infinity]*S[5, Infinity])/448 + 
   (162657*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((-75*S[2, Infinity]^3)/112 - (2057*S[3, Infinity]^2)/448 + 
     (30*S[-5, -1, Infinity])/7) + (30*S[-5, 1, 1, Infinity])/7 + 
   (81*S[5, -1, -1, Infinity])/14 - 12*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, -1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/630 + 
   (S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
   (47*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (321*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^2*((-61*S[2, Infinity]*S[3, Infinity])/32 + 
     (279*S[5, Infinity])/128) + (178827*S[7, Infinity])/7168 + 
   (51*S[-5, 1, 1, Infinity])/14 + (39*S[5, -1, -1, Infinity])/28 - 
   (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((4461*S[5, Infinity])/896 + 
     9*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((4687*S[2, Infinity]^3)/1120 - (2477*S[3, Infinity]^2)/896 - 
     (3*S[-5, -1, Infinity])/28 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -1, -1, -1, 1, Infinity] -> 
  (5*S[-1, Infinity]^7)/504 - (13*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (317*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (461*S[2, Infinity]^2*S[3, Infinity])/448 + (290657*S[7, Infinity])/7168 - 
   (115*S[-5, 1, 1, Infinity])/14 + (71*S[5, -1, -1, Infinity])/28 + 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((83*S[2, Infinity]*S[3, Infinity])/32 - 
     (527*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-1053*S[5, Infinity])/896 + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((7471*S[2, Infinity]^3)/1120 + (6267*S[3, Infinity]^2)/896 - 
     (251*S[-5, -1, Infinity])/28 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   34*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -1, -1, -1, -1, Infinity] -> 
  (41*S[-1, Infinity]^7)/5040 - (19*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (89*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (547*S[2, Infinity]^2*S[3, Infinity])/560 + (82513*S[7, Infinity])/3584 - 
   (107*S[-5, 1, 1, Infinity])/28 + (17*S[5, -1, -1, Infinity])/7 + 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((323*S[2, Infinity]^3)/80 + (1119*S[3, Infinity]^2)/224 - 
     (107*S[-5, -1, Infinity])/28 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-2307*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((19*S[2, Infinity]*S[3, Infinity])/4 - (31*S[5, Infinity])/8 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   22*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/336 + (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (19*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (307*S[2, Infinity]^2*S[3, Infinity])/320 - (4183*S[7, Infinity])/256 - 
   S[5, -1, -1, Infinity] + S[-1, Infinity]^3*((-5*S[2, Infinity]^2)/16 + 
     S[-1, 1, 1, 1, Infinity]/6) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[-1, Infinity]^2*((19*S[2, Infinity]*S[3, Infinity])/32 - 
     (93*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((345*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-461*S[2, Infinity]^3)/560 + (49*S[3, Infinity]^2)/128 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^7/420 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (41*S[2, Infinity]^2*S[3, Infinity])/64 - (6207*S[7, Infinity])/1024 - 
   (3*S[-5, 1, 1, Infinity])/4 - (5*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((-11*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
      6) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-681*S[2, Infinity]^3)/1120 + (15*S[3, Infinity]^2)/16 - 
     (3*S[-5, -1, Infinity])/4 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/2 - 
     (31*S[5, Infinity])/16 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((81*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) - 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/210 + (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (17*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1391*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (2467*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((-49*S[2, Infinity]*S[3, Infinity])/32 + 
     (155*S[5, Infinity])/32) - (82697*S[7, Infinity])/7168 + 
   (89*S[-5, 1, 1, Infinity])/28 - (51*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-37*S[2, Infinity]^2)/48 + S[-1, 1, 1, 1, Infinity]/
      6) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-253*S[2, Infinity]^3)/224 - (1927*S[3, Infinity]^2)/
      448 + (89*S[-5, -1, Infinity])/28 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) - 11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -1, 1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^7/144 + 
   (41*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (1947*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/2 + 
     (837*S[5, Infinity])/128) - (89935*S[7, Infinity])/3584 + 
   (143*S[-5, 1, 1, Infinity])/28 - (23*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-29*S[2, Infinity]^2)/30 + S[-1, 1, 1, 1, Infinity]/
      6) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((5647*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-513*S[2, Infinity]^3)/280 - (3977*S[3, Infinity]^2)/896 + 
     (157*S[-5, -1, Infinity])/28 - 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   21*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/1008 - (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (919*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/32) - (4667*S[2, Infinity]*S[5, Infinity])/448 + 
   (252857*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((1199*S[2, Infinity]^3)/1120 - (391*S[3, Infinity]^2)/448 + 
     (71*S[-5, -1, Infinity])/28) + (71*S[-5, 1, 1, Infinity])/28 + 
   (99*S[5, -1, -1, Infinity])/28 + 5*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -1, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (667*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/32 - 
     (527*S[5, Infinity])/128) - (3069*S[2, Infinity]*S[5, Infinity])/224 + 
   (31799*S[7, Infinity])/896 + (11*S[-5, 1, 1, Infinity])/28 + 
   (65*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]*
    ((893*S[2, Infinity]^3)/560 + (575*S[3, Infinity]^2)/896 + 
     S[-5, -1, Infinity]/7 - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, -1, -1, 1, Infinity] -> 
  (3*S[-1, Infinity]^7)/280 - (27*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (123*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (1863*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (122205*S[7, Infinity])/3584 - (117*S[-5, 1, 1, Infinity])/14 + 
   (51*S[5, -1, -1, Infinity])/14 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-9021*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/2 - (465*S[5, Infinity])/32 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((153*S[2, Infinity]^3)/56 + (7323*S[3, Infinity]^2)/896 - 
     (297*S[-5, -1, Infinity])/28 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   30*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/112 - (7*S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (53*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (87*S[2, Infinity]^2*S[3, Infinity])/160 + (43101*S[7, Infinity])/1024 - 
   (21*S[-5, 1, 1, Infinity])/4 + (21*S[5, -1, -1, Infinity])/4 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((1761*S[2, Infinity]^3)/1120 + (231*S[3, Infinity]^2)/
      32 - (21*S[-5, -1, Infinity])/4 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-597*S[5, Infinity])/32 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((117*S[2, Infinity]*S[3, Infinity])/32 - 
     (837*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/504 - (S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (25*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (143*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/16 - 
     (93*S[5, Infinity])/64) + (1201*S[2, Infinity]*S[5, Infinity])/448 - 
   (23769*S[7, Infinity])/3584 - (17*S[-5, 1, 1, Infinity])/7 - 
   (13*S[5, -1, -1, Infinity])/14 + 
   (25*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((27*S[2, Infinity]^3)/560 + (85*S[3, Infinity]^2)/28 - 
     (17*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) - 10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -1, -1, 1, 1, -1, Infinity] -> (11*S[-1, Infinity]^7)/5040 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (79*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (51*S[2, Infinity]^2*S[3, Infinity])/56 + S[-1, Infinity]^2*
    ((25*S[2, Infinity]*S[3, Infinity])/16 - (403*S[5, Infinity])/64) + 
   (73889*S[7, Infinity])/3584 - (11*S[-5, 1, 1, Infinity])/7 + 
   (69*S[5, -1, -1, Infinity])/14 + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-9265*S[5, Infinity])/448 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-867*S[2, Infinity]^3)/560 + (803*S[3, Infinity]^2)/448 + 
     (13*S[-5, -1, Infinity])/14 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/560 - (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (1557*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (47457*S[7, Infinity])/3584 + (75*S[-5, 1, 1, Infinity])/28 + 
   (69*S[5, -1, -1, Infinity])/14 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-17529*S[5, Infinity])/896 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-75*S[2, Infinity]*S[3, Infinity])/32 - (93*S[5, Infinity])/16 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((-107*S[2, Infinity]^3)/20 - (387*S[3, Infinity]^2)/448 + 
     (159*S[-5, -1, Infinity])/28 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, 1, -1, -1, Infinity] -> 
  (11*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (521*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (3099*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (49635*S[7, Infinity])/3584 + (45*S[-5, 1, 1, Infinity])/14 - 
   (9*S[5, -1, -1, Infinity])/7 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-283*S[2, Infinity]^3)/56 - (225*S[3, Infinity]^2)/56 + 
     (45*S[-5, -1, Infinity])/14 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((255*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((-141*S[2, Infinity]*S[3, Infinity])/32 + 
     (93*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) - 
   21*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, -1, 1, 1, Infinity] -> 
  (-67*S[-1, Infinity]^7)/2520 + (37*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (151*S[2, Infinity]^2*S[3, Infinity])/320 - (14191*S[7, Infinity])/256 + 
   (37*S[-5, 1, 1, Infinity])/4 - 4*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((-89*S[2, Infinity]^2)/30 + S[-1, 1, 1, 1, Infinity]/
      2) - (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-117*S[2, Infinity]*S[3, Infinity])/32 + 
     (775*S[5, Infinity])/64 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1719*S[5, Infinity])/128 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-3579*S[2, Infinity]^3)/560 - (655*S[3, Infinity]^2)/64 + 
     13*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - 41*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -1, -1, -1, 1, -1, Infinity] -> (-131*S[-1, Infinity]^7)/5040 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (2993*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (126299*S[7, Infinity])/1792 + (59*S[-5, 1, 1, Infinity])/7 - 
   (127*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-37*S[2, Infinity]^2)/12 + S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-689*S[2, Infinity]^3)/140 - (295*S[3, Infinity]^2)/28 + 
     (59*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-135*S[2, Infinity]*S[3, Infinity])/32 + (2077*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((23715*S[5, Infinity])/896 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   37*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, -1, -1, 1, Infinity] -> 
  (-83*S[-1, Infinity]^7)/5040 + (19*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (1819*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (6577*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 + 
     (403*S[5, Infinity])/64) - (158897*S[7, Infinity])/3584 + 
   (11*S[-5, 1, 1, Infinity])/7 - (69*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-113*S[2, Infinity]^2)/240 + 
     S[-1, 1, 1, 1, Infinity]/2) + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-89*S[2, Infinity]^3)/80 - (55*S[3, Infinity]^2)/28 + 
     (11*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) - 22*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -1, -1, -1, -1, -1, Infinity] -> (-47*S[-1, Infinity]^7)/2520 + 
   (23*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (119*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (375*S[2, Infinity]*S[5, Infinity])/32 + S[-1, Infinity]^2*
    ((-15*S[2, Infinity]*S[3, Infinity])/16 + (31*S[5, Infinity])/4) - 
   (793*S[7, Infinity])/16 + 4*S[-5, 1, 1, Infinity] - 
   4*S[5, -1, -1, Infinity] + S[-1, Infinity]^3*((-13*S[2, Infinity]^2)/24 + 
     S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-1867*S[2, Infinity]^3)/560 - (317*S[3, Infinity]^2)/
      64 + (19*S[-5, -1, Infinity])/4 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, 1, 1, 1, Infinity] -> 
  (5*S[-1, Infinity]^7)/504 - (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   2*S[2, Infinity]^2*S[3, Infinity] - (8415*S[7, Infinity])/1024 - 
   (5*S[-5, 1, 1, Infinity])/4 - (5*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/24 - S[-1, 1, 1, 1, Infinity]/2) + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((235*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((35*S[2, Infinity]*S[3, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((7*S[2, Infinity]^3)/32 + (25*S[3, Infinity]^2)/16 - 
     (5*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, 1, 1, -1, Infinity] -> 
  (19*S[-1, Infinity]^7)/2520 - (13*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (17*S[2, Infinity]^2*S[3, Infinity])/560 - (12743*S[7, Infinity])/7168 - 
   (2*S[-5, 1, 1, Infinity])/7 - (15*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((83*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/
      2) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/32 + 
     (31*S[5, Infinity])/128 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1417*S[5, Infinity])/896 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-727*S[2, Infinity]^3)/1120 + (5*S[3, Infinity]^2)/14 - 
     (2*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, 1, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^7)/1680 - (13*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (6537*S[2, Infinity]^2*S[3, Infinity])/2240 + (21449*S[7, Infinity])/448 - 
   (53*S[-5, 1, 1, Infinity])/28 + (20*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((55*S[2, Infinity]^2)/48 - (2*S[-1, 1, 1, 1, Infinity])/
      3) - (35*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-8087*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((27*S[2, Infinity]*S[3, Infinity])/32 - (651*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((879*S[2, Infinity]^3)/280 + (649*S[3, Infinity]^2)/224 - 
     (109*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   29*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, 1, -1, -1, Infinity] -> 
  (17*S[-1, Infinity]^7)/720 - (53*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (27*S[2, Infinity]^2*S[3, Infinity])/64 + S[-1, Infinity]^2*
    ((11*S[2, Infinity]*S[3, Infinity])/16 - (1147*S[5, Infinity])/128) - 
   (1823*S[2, Infinity]*S[5, Infinity])/128 + (62749*S[7, Infinity])/1024 - 
   (9*S[-5, 1, 1, Infinity])/2 + (19*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((253*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) + S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*
    ((5589*S[2, Infinity]^3)/1120 + (197*S[3, Infinity]^2)/32 - 
     (13*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   42*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, -1, 1, 1, Infinity] -> 
  (37*S[-1, Infinity]^7)/1680 + (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (307*S[2, Infinity]^2*S[3, Infinity])/140 - (643177*S[7, Infinity])/7168 + 
   (433*S[-5, 1, 1, Infinity])/28 - (267*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-35*S[2, Infinity]^2)/24 - S[-1, 1, 1, 1, Infinity]/
      2) - (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-111*S[2, Infinity]*S[3, Infinity])/32 + 
     (3131*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((26015*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-5941*S[2, Infinity]^3)/1120 - 
     (7407*S[3, Infinity]^2)/448 + (157*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     11*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   62*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, -1, 1, -1, Infinity] -> 
  (101*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (1743*S[2, Infinity]^2*S[3, Infinity])/320 + 
   (3359*S[2, Infinity]*S[5, Infinity])/64 + S[-1, Infinity]^2*
    ((-21*S[2, Infinity]*S[3, Infinity])/32 + (2139*S[5, Infinity])/64) - 
   (19447*S[7, Infinity])/128 + 17*S[-5, 1, 1, Infinity] - 
   (35*S[5, -1, -1, Infinity])/2 + S[-1, Infinity]^3*
    ((-581*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/2) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-2281*S[2, Infinity]^3)/560 - (1181*S[3, Infinity]^2)/
      64 + (51*S[-5, -1, Infinity])/4 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     11*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   73*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/60 + (2*S[-1, Infinity]^5*S[2, Infinity])/5 - 
   (63*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (1707*S[2, Infinity]^2*S[3, Infinity])/224 - (1649241*S[7, Infinity])/
    7168 + (579*S[-5, 1, 1, Infinity])/28 - (723*S[5, -1, -1, Infinity])/28 + 
   S[2, Infinity]*((68613*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-21*S[2, Infinity]*S[3, Infinity])/32 + (5859*S[5, Infinity])/128 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-1997*S[2, Infinity]^3)/224 - (5517*S[3, Infinity]^2)/224 + 
     (537*S[-5, -1, Infinity])/28 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   105*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, 1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^7/140 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (311*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (681*S[2, Infinity]^2*S[3, Infinity])/2240 - (1094817*S[7, Infinity])/
    7168 + (297*S[-5, 1, 1, Infinity])/14 - (435*S[5, -1, -1, Infinity])/28 - 
   (63*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-111*S[2, Infinity]*S[3, Infinity])/16 + 
     (4929*S[5, Infinity])/128 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((44523*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-10267*S[2, Infinity]^3)/1120 - (5667*S[3, Infinity]^2)/224 + 
     (138*S[-5, -1, Infinity])/7 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   90*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/315 + (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1913*S[2, Infinity]^2*S[3, Infinity])/448 + (510343*S[7, Infinity])/
    7168 - (11*S[-5, 1, 1, Infinity])/7 + (173*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/120 + S[-1, 1, 1, 1, Infinity]/
      6) - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-18649*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/8 - 
     (1271*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((2131*S[2, Infinity]^3)/1120 + (69*S[3, Infinity]^2)/28 - 
     (4*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   30*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, 1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^7)/2520 - (13*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (19*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (191*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((19*S[2, Infinity]*S[3, Infinity])/32 - 
     (93*S[5, Infinity])/32) - (4037*S[2, Infinity]*S[5, Infinity])/448 + 
   (246011*S[7, Infinity])/7168 + S[-5, 1, 1, Infinity]/28 + 
   (85*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-179*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((3259*S[2, Infinity]^3)/1120 + (51*S[3, Infinity]^2)/
      112 + (29*S[-5, -1, Infinity])/28 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/1680 + (41*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (1107*S[2, Infinity]^2*S[3, Infinity])/1120 - (1935*S[7, Infinity])/7168 - 
   (15*S[-5, 1, 1, Infinity])/28 + (27*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((-27*S[2, Infinity]*S[3, Infinity])/32 - 
     (589*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((241*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1189*S[2, Infinity]^3)/1120 + (1455*S[3, Infinity]^2)/
      448 - (183*S[-5, -1, Infinity])/28 + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^7/112 + 
   (S[-1, Infinity]^5*S[2, Infinity])/5 + 
   (217*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (3531*S[2, Infinity]^2*S[3, Infinity])/2240 + (18813*S[7, Infinity])/448 - 
   (18*S[-5, 1, 1, Infinity])/7 + (24*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((-14617*S[5, Infinity])/896 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-21*S[2, Infinity]*S[3, Infinity])/32 - (1519*S[5, Infinity])/128 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((279*S[2, Infinity]^3)/280 + (2595*S[3, Infinity]^2)/448 - 
     (60*S[-5, -1, Infinity])/7 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, -1, 1, 1, Infinity] -> 
  (11*S[-1, Infinity]^7)/336 - (101*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (3103*S[2, Infinity]^2*S[3, Infinity])/560 + (1581991*S[7, Infinity])/
    7168 - (327*S[-5, 1, 1, Infinity])/14 + (725*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((1009*S[2, Infinity]^2)/240 - 
     S[-1, 1, 1, 1, Infinity]/2) + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((63*S[2, Infinity]*S[3, Infinity])/32 - 
     (6479*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-66925*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((9447*S[2, Infinity]^3)/1120 + (12807*S[3, Infinity]^2)/448 - 
     (633*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   108*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, -1, -1, 1, -1, Infinity] -> (17*S[-1, Infinity]^7)/560 - 
   (41*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (3153*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (358593*S[7, Infinity])/1792 - (711*S[-5, 1, 1, Infinity])/28 + 
   (153*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((24*S[2, Infinity]^2)/5 - S[-1, 1, 1, 1, Infinity]/2) + 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-32355*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((93*S[2, Infinity]*S[3, Infinity])/16 - (837*S[5, Infinity])/16 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((415*S[2, Infinity]^3)/56 + (13947*S[3, Infinity]^2)/448 - 
     (345*S[-5, -1, Infinity])/14 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   99*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/210 - (73*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (343*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (9683*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (941671*S[7, Infinity])/3584 - (677*S[-5, 1, 1, Infinity])/28 + 
   (435*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((-41989*S[5, Infinity])/448 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/8 - 
     (217*S[5, Infinity])/4 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((477*S[2, Infinity]^3)/80 + (11811*S[3, Infinity]^2)/
      448 - (397*S[-5, -1, Infinity])/28 - 
     22*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   115*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, -1, -1, -1, -1, Infinity] -> (13*S[-1, Infinity]^7)/2520 - 
   (17*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (377*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (5379*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 - 
     (465*S[5, Infinity])/8) - (5651*S[2, Infinity]*S[5, Infinity])/56 + 
   (31861*S[7, Infinity])/112 - (184*S[-5, 1, 1, Infinity])/7 + 
   (236*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]*
    ((419*S[2, Infinity]^3)/56 + (12991*S[3, Infinity]^2)/448 - 
     (114*S[-5, -1, Infinity])/7 - 22*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, 1, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/2520 + (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (333*S[2, Infinity]^2*S[3, Infinity])/280 - (6441*S[7, Infinity])/896 + 
   (29*S[-5, 1, 1, Infinity])/14 - (3*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/8 + S[-1, 1, 1, 1, Infinity]/2) - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
     (283*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-297*S[5, Infinity])/448 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-123*S[2, Infinity]^3)/280 - (145*S[3, Infinity]^2)/56 + 
     (29*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/336 + (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (289*S[2, Infinity]^2*S[3, Infinity])/560 - (98579*S[7, Infinity])/7168 + 
   (19*S[-5, 1, 1, Infinity])/14 - (39*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-7*S[2, Infinity]^2)/48 + S[-1, 1, 1, 1, Infinity]/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((1951*S[5, Infinity])/896 - 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/32 + (597*S[5, Infinity])/128 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((81*S[2, Infinity]^3)/1120 - (95*S[3, Infinity]^2)/56 + 
     (19*S[-5, -1, Infinity])/14 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 2, 1, -1, 1, Infinity] -> -S[-1, Infinity]^7/240 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (27*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (6761*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (319741*S[7, Infinity])/3584 + (9*S[-5, 1, 1, Infinity])/7 - 
   (115*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-7*S[2, Infinity]^2)/6 + S[-1, 1, 1, 1, Infinity]/2) + 
   (81*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-107*S[2, Infinity]^3)/28 - (675*S[3, Infinity]^2)/224 + 
     (141*S[-5, -1, Infinity])/28 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((20745*S[5, Infinity])/896 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((39*S[2, Infinity]*S[3, Infinity])/16 + (1155*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) - 42*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 2, 1, -1, -1, Infinity] -> (-19*S[-1, Infinity]^7)/840 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (113*S[2, Infinity]^2*S[3, Infinity])/70 - (9827*S[7, Infinity])/112 + 
   (45*S[-5, 1, 1, Infinity])/7 - (53*S[5, -1, -1, Infinity])/7 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*((-28*S[2, Infinity]^2)/15 + S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-3223*S[2, Infinity]^3)/560 - (2115*S[3, Infinity]^2)/
      224 + (285*S[-5, -1, Infinity])/28 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/8 + (1713*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((20481*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]) - 
   54*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -1, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/1008 - (13*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (43*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (5661*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (481659*S[7, Infinity])/7168 - (391*S[-5, 1, 1, Infinity])/28 + 
   (225*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((37*S[2, Infinity]^2)/30 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (43*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((53*S[2, Infinity]*S[3, Infinity])/16 - 
     (2813*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-15529*S[5, Infinity])/896 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((7079*S[2, Infinity]^3)/1120 + (3427*S[3, Infinity]^2)/224 - 
     (82*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   50*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -1, 1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^7)/280 + (S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (1829*S[2, Infinity]^2*S[3, Infinity])/448 + (835367*S[7, Infinity])/
    7168 - (387*S[-5, 1, 1, Infinity])/28 + (383*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((427*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/
      2) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/8 - 
     (3495*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-36177*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1011*S[2, Infinity]^3)/224 + (3387*S[3, Infinity]^2)/224 - 
     (81*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   54*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/84 - (19*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (989*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (19997*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (198671*S[7, Infinity])/896 - (561*S[-5, 1, 1, Infinity])/28 + 
   (187*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^2*
    ((21*S[2, Infinity]*S[3, Infinity])/32 - (1455*S[5, Infinity])/32 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-17865*S[5, Infinity])/224 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((4313*S[2, Infinity]^3)/560 + (10947*S[3, Infinity]^2)/
      448 - (135*S[-5, -1, Infinity])/7 + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   87*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/112 - (61*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (12881*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (1344229*S[7, Infinity])/7168 - (507*S[-5, 1, 1, Infinity])/28 + 
   (655*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((163*S[2, Infinity]^2)/48 + S[-1, 1, 1, 1, Infinity]/2) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/16 - 
     (5169*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-56061*S[5, Infinity])/896 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((9451*S[2, Infinity]^3)/1120 + (9867*S[3, Infinity]^2)/448 - 
     (243*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   87*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/5040 - (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (121*S[2, Infinity]^2*S[3, Infinity])/560 + (136197*S[7, Infinity])/7168 - 
   (13*S[-5, 1, 1, Infinity])/7 + (53*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/48 - S[-1, 1, 1, 1, Infinity]/6) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-2399*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/32 - (849*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((493*S[2, Infinity]^3)/1120 + (65*S[3, Infinity]^2)/28 - 
     (13*S[-5, -1, Infinity])/7 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   20*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/252 - (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (221*S[2, Infinity]^2*S[3, Infinity])/280 + (44573*S[7, Infinity])/3584 - 
   (18*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((11*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      6) + (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/16 - 
     (409*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((73*S[5, Infinity])/448 + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((309*S[2, Infinity]^3)/560 + (45*S[3, Infinity]^2)/14 - 
     (18*S[-5, -1, Infinity])/7 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 10*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, 
    Infinity], S[-1, 1, 1, 2, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^7)/1680 - (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (1571*S[2, Infinity]^2*S[3, Infinity])/1120 + (21449*S[7, Infinity])/448 - 
   (53*S[-5, 1, 1, Infinity])/28 + (20*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((23*S[2, Infinity]^2)/30 - (5*S[-1, 1, 1, 1, Infinity])/
      6) - (25*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-4761*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/16 - (127*S[5, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((23*S[2, Infinity]^3)/7 + (1571*S[3, Infinity]^2)/448 - 
     (65*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 29*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 2, -1, -1, Infinity] -> S[-1, Infinity]^7/90 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (141*S[2, Infinity]^2*S[3, Infinity])/160 + (62749*S[7, Infinity])/1024 - 
   (9*S[-5, 1, 1, Infinity])/2 + (19*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/6 - (5*S[-1, 1, 1, 1, Infinity])/
      6) + (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-119*S[5, Infinity])/8 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/32 - 
     (533*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1005*S[2, Infinity]^3)/224 + (433*S[3, Infinity]^2)/64 - 
     (29*S[-5, -1, Infinity])/4 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   42*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^7/1680 + (S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (61*S[2, Infinity]^2*S[3, Infinity])/112 - (28107*S[7, Infinity])/3584 + 
   (43*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 + 
     (535*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((151*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-149*S[2, Infinity]^3)/280 - 
     (215*S[3, Infinity]^2)/112 + (43*S[-5, -1, Infinity])/28 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^7/336 + (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (47*S[2, Infinity]^2*S[3, Infinity])/40 - (359*S[7, Infinity])/256 + 
   (5*S[-5, 1, 1, Infinity])/2 - 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-123*S[5, Infinity])/64 - (9*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/4 + 
     (283*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/5 - (25*S[3, Infinity]^2)/8 + 
     (5*S[-5, -1, Infinity])/2 + 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 1, 1, 2, Infinity] -> 
  S[-1, Infinity]^7/1680 - (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (3*S[2, Infinity]^2*S[3, Infinity])/8 + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/4 - (63*S[5, Infinity])/64) + 
   (31*S[2, Infinity]*S[5, Infinity])/64 + (123*S[7, Infinity])/256 - 
   S[-5, 1, 1, Infinity]/2 + S[-1, Infinity]*(S[2, Infinity]^3/5 + 
     (5*S[3, Infinity]^2)/8 - S[-5, -1, Infinity]/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, 1, -2, Infinity] -> S[-1, Infinity]^7/840 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (2*S[2, Infinity]^2*S[3, Infinity])/5 + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/2 - (47*S[5, Infinity])/32) + 
   (251*S[7, Infinity])/128 - S[-5, 1, 1, Infinity] + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((15*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((3*S[2, Infinity]^3)/7 + (5*S[3, Infinity]^2)/4 - 
     S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 1, -1, 2, Infinity] -> 
  (-3*S[-1, Infinity]^7)/280 + (7*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (41*S[2, Infinity]^2*S[3, Infinity])/20 + (11105*S[7, Infinity])/1024 + 
   (5*S[-5, 1, 1, Infinity])/4 + (11*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((-11*S[2, Infinity]^2)/30 + S[-1, 1, 1, 1, Infinity]/
      2) - (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-53*S[2, Infinity]*S[3, Infinity])/32 - 
     (47*S[5, Infinity])/32 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-145*S[5, Infinity])/64 + (7*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((-59*S[2, Infinity]^3)/1120 - 
     (217*S[3, Infinity]^2)/128 + (7*S[-5, -1, Infinity])/4 - 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, -1, -2, Infinity] -> (-19*S[-1, Infinity]^7)/1680 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (193*S[2, Infinity]^2*S[3, Infinity])/160 + (10303*S[7, Infinity])/1024 + 
   S[-5, 1, 1, Infinity]/4 + (5*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((-7*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]/
      2) - (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-19*S[2, Infinity]*S[3, Infinity])/32 - 
     (63*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-67*S[5, Infinity])/16 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/160 - (57*S[3, Infinity]^2)/128 + 
     (3*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, -2, 1, Infinity] -> (13*S[-1, Infinity]^7)/5040 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (25*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (303*S[2, Infinity]^2*S[3, Infinity])/320 - (7227*S[7, Infinity])/512 - 
   (3*S[5, -1, -1, Infinity])/2 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((125*S[5, Infinity])/32 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/32 + 
     (33*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-6*S[2, Infinity]^3)/35 + (17*S[3, Infinity]^2)/128 - 
     S[-5, -1, Infinity]/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, -2, -1, Infinity] -> (23*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
   (17*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (2721*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (49225*S[7, Infinity])/1792 + (29*S[-5, 1, 1, Infinity])/28 - 
   (31*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((17*S[2, Infinity]*S[3, Infinity])/32 + 
     (349*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((6297*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-291*S[2, Infinity]^3)/280 - 
     (1041*S[3, Infinity]^2)/896 + (15*S[-5, -1, Infinity])/28 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, 2, 1, Infinity] -> 
  (-29*S[-1, Infinity]^7)/1680 + (9*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (29*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (499*S[2, Infinity]^2*S[3, Infinity])/1120 - (82697*S[7, Infinity])/7168 + 
   (89*S[-5, 1, 1, Infinity])/28 - (51*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-79*S[2, Infinity]^2)/240 + 
     (5*S[-1, 1, 1, 1, Infinity])/6) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-29*S[2, Infinity]*S[3, Infinity])/32 + 
     (33*S[5, Infinity])/32 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((677*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-129*S[2, Infinity]^3)/1120 - (57*S[3, Infinity]^2)/28 - 
     (23*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   11*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, 2, -1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/720 + (43*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (55*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (3219*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (89935*S[7, Infinity])/3584 + (143*S[-5, 1, 1, Infinity])/28 - 
   (23*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-97*S[2, Infinity]^2)/120 + (5*S[-1, 1, 1, 1, Infinity])/6) - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^2*((-97*S[2, Infinity]*S[3, Infinity])/32 + 
     (349*S[5, Infinity])/128 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((7929*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-19*S[2, Infinity]^3)/10 - (249*S[3, Infinity]^2)/56 + 
     (31*S[-5, -1, Infinity])/28 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   21*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, 1, 2, Infinity] -> 
  S[-1, Infinity]^7/315 - (S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (757*S[2, Infinity]^2*S[3, Infinity])/280 + (325813*S[7, Infinity])/7168 - 
   (59*S[-5, 1, 1, Infinity])/28 + (151*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/120 - S[-1, 1, 1, 1, Infinity]/3) - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-4581*S[5, Infinity])/224 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-23*S[2, Infinity]*S[3, Infinity])/32 - (171*S[5, Infinity])/32 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-1329*S[2, Infinity]^3)/1120 + (1289*S[3, Infinity]^2)/896 + 
     (67*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, 1, -2, Infinity] -> 
  (13*S[-1, Infinity]^7)/5040 - (7*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (31*S[2, Infinity]^2*S[3, Infinity])/160 + (13331*S[7, Infinity])/512 - 
   (7*S[-5, 1, 1, Infinity])/2 + (7*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]/3) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-183*S[5, Infinity])/16 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((11*S[2, Infinity]*S[3, Infinity])/16 - (311*S[5, Infinity])/64 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-181*S[2, Infinity]^3)/560 + (407*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity] + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, -1, 2, Infinity] -> 
  (11*S[-1, Infinity]^7)/1680 - (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (261*S[2, Infinity]^2*S[3, Infinity])/140 + (205967*S[7, Infinity])/7168 - 
   (27*S[-5, 1, 1, Infinity])/14 + (93*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-11*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      2) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-1825*S[5, Infinity])/224 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/32 - 
     (311*S[5, Infinity])/64 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-327*S[2, Infinity]^3)/1120 + (569*S[3, Infinity]^2)/
      448 + (23*S[-5, -1, Infinity])/28 - 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, -1, -2, Infinity] -> 
  S[-1, Infinity]^7/140 - (19*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (271*S[2, Infinity]^2*S[3, Infinity])/112 + (17903*S[7, Infinity])/896 - 
   (141*S[-5, 1, 1, Infinity])/28 + (5*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((71*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      2) + (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-6169*S[5, Infinity])/448 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/4 - (171*S[5, Infinity])/32 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-103*S[2, Infinity]^3)/280 + (2309*S[3, Infinity]^2)/448 - 
     (16*S[-5, -1, Infinity])/7 + (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 10*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, -2, 1, Infinity] -> 
  (19*S[-1, Infinity]^7)/1680 - (7*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (31*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (6929*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (155107*S[7, Infinity])/3584 + (23*S[-5, 1, 1, Infinity])/14 - 
   (75*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((23*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/2) + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((16627*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((31*S[2, Infinity]*S[3, Infinity])/32 + 
     (535*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((157*S[2, Infinity]^3)/560 - (171*S[3, Infinity]^2)/448 - 
     (87*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, -2, -1, Infinity] -> S[-1, Infinity]^7/112 - 
   (29*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (4117*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (181037*S[7, Infinity])/7168 + (5*S[-5, 1, 1, Infinity])/7 - 
   (183*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((8*S[2, Infinity]^2)/15 - S[-1, 1, 1, 1, Infinity]/2) + 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((4443*S[5, Infinity])/448 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((81*S[2, Infinity]*S[3, Infinity])/32 + (283*S[5, Infinity])/64 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1461*S[2, Infinity]^3)/1120 + (349*S[3, Infinity]^2)/448 - 
     (113*S[-5, -1, Infinity])/28 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/315 + (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1427*S[2, Infinity]^2*S[3, Infinity])/560 + (50201*S[7, Infinity])/3584 + 
   (47*S[-5, 1, 1, Infinity])/28 + (27*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/30 - S[-1, 1, 1, 1, Infinity]/6) - 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-11*S[2, Infinity]^3)/14 - (1537*S[3, Infinity]^2)/896 + 
     (47*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-5433*S[5, Infinity])/896 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/8 + (19*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -2, 1, -1, Infinity] -> S[-1, Infinity]^7/720 - 
   (17*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (37*S[2, Infinity]^2*S[3, Infinity])/70 + (134615*S[7, Infinity])/7168 - 
   (17*S[-5, 1, 1, Infinity])/28 + (67*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((71*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/
      6) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((99*S[2, Infinity]^3)/160 + (1023*S[3, Infinity]^2)/896 - 
     (17*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-1683*S[5, Infinity])/224 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/32 - (161*S[5, Infinity])/64 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + 7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -2, -1, 1, Infinity] -> (-4*S[-1, Infinity]^7)/315 + 
   (19*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (267*S[2, Infinity]^2*S[3, Infinity])/2240 - (173353*S[7, Infinity])/
    7168 + (87*S[-5, 1, 1, Infinity])/28 - (67*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-121*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
      2) - (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((5451*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
     (825*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-3407*S[2, Infinity]^3)/1120 - 
     (2489*S[3, Infinity]^2)/448 + (55*S[-5, -1, Infinity])/7 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -2, -1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^7)/720 + (3*S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (43*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (2097*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (123589*S[7, Infinity])/3584 + (32*S[-5, 1, 1, Infinity])/7 - 
   (27*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-373*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/2) - 
   (29*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-57*S[2, Infinity]*S[3, Infinity])/32 + 
     (949*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((9031*S[5, Infinity])/896 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-2371*S[2, Infinity]^3)/560 - (3309*S[3, Infinity]^2)/448 + 
     (261*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/1260 - (S[-1, Infinity]^5*S[2, Infinity])/12 + 
   (37*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
   (S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (5731*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((37*S[2, Infinity]*S[3, Infinity])/16 + 
     (19*S[5, Infinity])/128) - (63401*S[7, Infinity])/1792 - 
   (117*S[-5, 1, 1, Infinity])/28 - (41*S[5, -1, -1, Infinity])/14 + 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((7757*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((9*S[2, Infinity]^3)/140 + (3217*S[3, Infinity]^2)/896 - 
     (89*S[-5, -1, Infinity])/28 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 2, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^7)/5040 - (49*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (97*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (303*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/16 - 
     (189*S[5, Infinity])/32) - (525*S[2, Infinity]*S[5, Infinity])/64 + 
   (15453*S[7, Infinity])/1024 - (21*S[-5, 1, 1, Infinity])/4 + 
   (9*S[5, -1, -1, Infinity])/4 - (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[-1, Infinity]*((353*S[2, Infinity]^3)/1120 + 
     (617*S[3, Infinity]^2)/128 - (17*S[-5, -1, Infinity])/4 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 2, -1, 1, Infinity] -> -S[-1, Infinity]^7/1260 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (2413*S[2, Infinity]^2*S[3, Infinity])/1120 + (18813*S[7, Infinity])/448 - 
   (18*S[-5, 1, 1, Infinity])/7 + (24*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-101*S[2, Infinity]^2)/80 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-19307*S[5, Infinity])/896 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((41*S[2, Infinity]*S[3, Infinity])/32 + (701*S[5, Infinity])/128 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-1689*S[2, Infinity]^3)/560 - (897*S[3, Infinity]^2)/224 + 
     (209*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 30*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 2, -1, -1, Infinity] -> 
  (11*S[-1, Infinity]^7)/5040 + (29*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (25*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (197*S[2, Infinity]^2*S[3, Infinity])/1120 - (1935*S[7, Infinity])/7168 - 
   (15*S[-5, 1, 1, Infinity])/28 + (27*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-131*S[2, Infinity]^2)/80 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-6185*S[5, Infinity])/896 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((23*S[2, Infinity]*S[3, Infinity])/32 + (1259*S[5, Infinity])/128 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-5391*S[2, Infinity]^3)/1120 - (2787*S[3, Infinity]^2)/448 + 
     (475*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 30*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, 2, 1, Infinity] -> 
  (-37*S[-1, Infinity]^7)/5040 + (31*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (109*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (31*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (41*S[2, Infinity]^2*S[3, Infinity])/35 + (39911*S[7, Infinity])/1792 + 
   (6*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/7 - 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-31*S[2, Infinity]*S[3, Infinity])/16 - 
     (27*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-513*S[5, Infinity])/112 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-3*S[2, Infinity]^3)/28 - (627*S[3, Infinity]^2)/448 + 
     (59*S[-5, -1, Infinity])/28 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, 2, -1, Infinity] -> 
  (-3*S[-1, Infinity]^7)/560 + (S[-1, Infinity]^5*S[2, Infinity])/5 - 
   (49*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (3599*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (184931*S[7, Infinity])/7168 + (20*S[-5, 1, 1, Infinity])/7 - 
   (137*S[5, -1, -1, Infinity])/28 + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((12605*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/4 + (1031*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-529*S[2, Infinity]^3)/1120 - (1747*S[3, Infinity]^2)/448 + 
     (115*S[-5, -1, Infinity])/28 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, 1, 2, Infinity] -> 
  (17*S[-1, Infinity]^7)/2520 - (7*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1399*S[2, Infinity]^2*S[3, Infinity])/560 - (167997*S[7, Infinity])/
    3584 + (51*S[-5, 1, 1, Infinity])/28 - (38*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/20 - S[-1, 1, 1, 1, Infinity]/6) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((14967*S[5, Infinity])/896 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/8 + (959*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    (-S[2, Infinity]^3/5 - (489*S[3, Infinity]^2)/224 + 
     S[-5, -1, Infinity]/14 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, 1, -2, Infinity] -> 
  (31*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (99*S[2, Infinity]^2*S[3, Infinity])/280 - (119051*S[7, Infinity])/7168 + 
   (15*S[-5, 1, 1, Infinity])/7 - (59*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]/6) - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/32 + 
     (587*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((5231*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-143*S[2, Infinity]^3)/1120 - (579*S[3, Infinity]^2)/
      224 + (11*S[-5, -1, Infinity])/28 + 5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, -1, 2, Infinity] -> 
  (-29*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1483*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (254319*S[7, Infinity])/7168 + (95*S[-5, 1, 1, Infinity])/28 - 
   (129*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-11*S[2, Infinity]^2)/120 + S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 + 
     (587*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3791*S[5, Infinity])/224 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((347*S[2, Infinity]^3)/1120 - (467*S[3, Infinity]^2)/224 - 
     (59*S[-5, -1, Infinity])/28 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, -1, -2, Infinity] -> 
  (-13*S[-1, Infinity]^7)/2520 + (3*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (5869*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (159009*S[7, Infinity])/3584 + (32*S[-5, 1, 1, Infinity])/7 - 
   (45*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-11*S[2, Infinity]^2)/30 + S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/32 + 
     (959*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((14897*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]*(-S[2, Infinity]^3/40 - 
     (797*S[3, Infinity]^2)/224 - (13*S[-5, -1, Infinity])/14 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, -2, 1, Infinity] -> 
  (3*S[-1, Infinity]^7)/560 - (3*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (571*S[2, Infinity]^2*S[3, Infinity])/560 - (281851*S[7, Infinity])/7168 + 
   (97*S[-5, 1, 1, Infinity])/28 - (127*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/32 + 
     (907*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((12757*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((81*S[2, Infinity]^3)/1120 - (2473*S[3, Infinity]^2)/896 - 
     (11*S[-5, -1, Infinity])/14 + 11*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   20*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^7/336 - (3*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (227*S[2, Infinity]^2*S[3, Infinity])/2240 - (45419*S[7, Infinity])/3584 + 
   (19*S[-5, 1, 1, Infinity])/28 - (4*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 + 
     (35*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3671*S[5, Infinity])/448 + 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((201*S[2, Infinity]^3)/140 + (647*S[3, Infinity]^2)/896 - 
     (25*S[-5, -1, Infinity])/7 + 11*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, 2, 1, Infinity] -> 
  S[-1, Infinity]^7/720 - (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (397*S[2, Infinity]^2*S[3, Infinity])/280 - (49635*S[7, Infinity])/3584 + 
   (45*S[-5, 1, 1, Infinity])/14 - (9*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((19*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/
      6) - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 + 
     (907*S[5, Infinity])/128 - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1067*S[5, Infinity])/896 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-139*S[2, Infinity]^3)/280 - (1513*S[3, Infinity]^2)/448 + 
     (69*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   21*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^7/1008 + (7*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (3127*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (47457*S[7, Infinity])/3584 + (75*S[-5, 1, 1, Infinity])/28 + 
   (69*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-61*S[2, Infinity]^2)/120 + S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-37*S[2, Infinity]*S[3, Infinity])/8 + 
     (35*S[5, Infinity])/64 - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-235*S[5, Infinity])/56 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-71*S[2, Infinity]^3)/560 - (1213*S[3, Infinity]^2)/448 + 
     (27*S[-5, -1, Infinity])/14 - 5*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, 1, 2, Infinity] -> 
  S[-1, Infinity]^7/5040 - (3*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (6037*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (139507*S[7, Infinity])/3584 + (18*S[-5, 1, 1, Infinity])/7 - 
   (38*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((19*S[2, Infinity]^2)/120 + S[-1, 1, 1, 1, Infinity]/6) + 
   (25*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/32 + 
     (1021*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((11621*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]*((75*S[2, Infinity]^3)/112 - 
     (817*S[3, Infinity]^2)/448 - (33*S[-5, -1, Infinity])/28 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, 1, -2, Infinity] -> 
  S[-1, Infinity]^7/1260 + (S[-1, Infinity]^5*S[2, Infinity])/10 + 
   (37*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (83*S[2, Infinity]^2*S[3, Infinity])/320 - (24253*S[7, Infinity])/512 + 
   6*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((-59*S[2, Infinity]^2)/120 + S[-1, 1, 1, 1, Infinity]/
      6) - (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-35*S[2, Infinity]*S[3, Infinity])/32 + 
     (1393*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3221*S[5, Infinity])/128 + 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((303*S[2, Infinity]^3)/560 - (391*S[3, Infinity]^2)/64 + 
     (9*S[-5, -1, Infinity])/4 - (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^7/210 - (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (166*S[2, Infinity]^2*S[3, Infinity])/35 - (275851*S[7, Infinity])/3584 + 
   (16*S[-5, 1, 1, Infinity])/7 - (61*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/8 + 
     (1393*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((29593*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((667*S[2, Infinity]^3)/560 - (1343*S[3, Infinity]^2)/448 - 
     (41*S[-5, -1, Infinity])/28 + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   17*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, -1, -2, Infinity] -> S[-1, Infinity]^7/240 - 
   (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (131*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (601*S[2, Infinity]*S[5, Infinity])/56 - (95731*S[7, Infinity])/3584 + 
   (47*S[-5, 1, 1, Infinity])/14 - (65*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
     (1021*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((149*S[2, Infinity]^3)/280 - (1943*S[3, Infinity]^2)/
      448 - (11*S[-5, -1, Infinity])/28 + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, -2, 1, Infinity] -> 
  (103*S[-1, Infinity]^7)/5040 - (5*S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (131*S[2, Infinity]^2*S[3, Infinity])/112 + (31831*S[7, Infinity])/3584 - 
   (155*S[-5, 1, 1, Infinity])/28 + (12*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((31*S[2, Infinity]^2)/240 - 
     (7*S[-1, 1, 1, 1, Infinity])/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-107*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/8 - 
     (27*S[5, Infinity])/64 + (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-23*S[2, Infinity]^3)/280 + (341*S[3, Infinity]^2)/112 + 
     (55*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 15*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -1, -2, -1, Infinity] -> (113*S[-1, Infinity]^7)/5040 - 
   (53*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (17*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (2563*S[2, Infinity]^2*S[3, Infinity])/1120 - (8601*S[7, Infinity])/448 - 
   (39*S[-5, 1, 1, Infinity])/14 - (30*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((29*S[2, Infinity]^2)/60 - (7*S[-1, 1, 1, 1, Infinity])/
      6) + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((5407*S[5, Infinity])/896 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((83*S[2, Infinity]*S[3, Infinity])/16 + (1031*S[5, Infinity])/128 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((3*S[2, Infinity]^3)/140 - (11*S[3, Infinity]^2)/28 + 
     (33*S[-5, -1, Infinity])/7 + 5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     15*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -2, 1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^7)/5040 + (7*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1727*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (369489*S[7, Infinity])/7168 - (71*S[-5, 1, 1, Infinity])/14 + 
   (173*S[5, -1, -1, Infinity])/28 + S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-20399*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/32 - (849*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-347*S[2, Infinity]^3)/1120 + (1629*S[3, Infinity]^2)/448 + 
     (17*S[-5, -1, Infinity])/7 - 9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   19*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -2, 1, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
   (2739*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (54885*S[7, Infinity])/3584 - (45*S[-5, 1, 1, Infinity])/14 + 
   (30*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/32 - 3*S[5, Infinity] + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((-153*S[5, Infinity])/28 + (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-323*S[2, Infinity]^3)/280 + (135*S[3, Infinity]^2)/
      112 + (30*S[-5, -1, Infinity])/7 - 9*S[-1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -1, -2, -1, 1, Infinity] -> (-31*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/80 - (S[-1, Infinity]^4*S[3, Infinity])/
    48 + (393*S[2, Infinity]^2*S[3, Infinity])/448 - 
   (115343*S[7, Infinity])/7168 + (25*S[-5, 1, 1, Infinity])/14 - 
   (69*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((61*S[2, Infinity]^2)/60 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/32 - 3*S[5, Infinity] - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((6491*S[5, Infinity])/448 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((739*S[2, Infinity]^3)/160 + (37*S[3, Infinity]^2)/14 - 
     (157*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -2, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/1260 - (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (17*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1723*S[2, Infinity]^2*S[3, Infinity])/2240 + (4119*S[7, Infinity])/224 - 
   (45*S[-5, 1, 1, Infinity])/28 + (15*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/4 + (2*S[-1, 1, 1, 1, Infinity])/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     (43*S[5, Infinity])/4 - (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((79*S[5, Infinity])/112 + (13*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((2809*S[2, Infinity]^3)/560 + 
     (3231*S[3, Infinity]^2)/448 - (409*S[-5, -1, Infinity])/28 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/504 + (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (2033*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (115445*S[7, Infinity])/7168 - (23*S[-5, 1, 1, Infinity])/28 + 
   (61*S[5, -1, -1, Infinity])/28 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/8 - 
     (91*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-2503*S[5, Infinity])/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((149*S[2, Infinity]^3)/1120 + (801*S[3, Infinity]^2)/896 - 
     (9*S[-5, -1, Infinity])/28 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -2, 1, 1, -1, Infinity] -> S[-1, Infinity]^7/240 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1737*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (67773*S[7, Infinity])/3584 - (59*S[-5, 1, 1, Infinity])/28 + 
   (37*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((101*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-7145*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/32 - 
     (581*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-11*S[2, Infinity]^3)/112 + (2241*S[3, Infinity]^2)/
      896 - (45*S[-5, -1, Infinity])/28 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -2, 1, -1, 1, Infinity] -> (3*S[-1, Infinity]^7)/560 - 
   (19*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (37*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
   (521*S[2, Infinity]^2*S[3, Infinity])/160 + (92279*S[7, Infinity])/1024 + 
   S[-1, Infinity]*((2489*S[2, Infinity]^3)/1120 + (351*S[3, Infinity]^2)/
      32 - (33*S[-5, -1, Infinity])/4) - 9*S[-5, 1, 1, Infinity] + 
   (47*S[5, -1, -1, Infinity])/4 + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/32 - (2689*S[5, Infinity])/128 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((-4385*S[5, Infinity])/128 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   36*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, 1, -1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^7)/840 - (5*S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (259*S[2, Infinity]^2*S[3, Infinity])/80 + (92279*S[7, Infinity])/1024 - 
   9*S[-5, 1, 1, Infinity] + (47*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((35*S[2, Infinity]^2)/24 + S[-1, 1, 1, 1, Infinity]/
      2) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((3889*S[2, Infinity]^3)/1120 + (351*S[3, Infinity]^2)/
      32 - (33*S[-5, -1, Infinity])/4 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/32 - 
     (2689*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-3703*S[5, Infinity])/128 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   36*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, -1, 1, 1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/1008 + (37*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (4979*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (282637*S[7, Infinity])/1792 + (115*S[-5, 1, 1, Infinity])/7 - 
   (137*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-233*S[2, Infinity]^2)/120 + S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((27317*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
     (2081*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-1017*S[2, Infinity]^3)/280 - (1985*S[3, Infinity]^2)/
      112 + (125*S[-5, -1, Infinity])/14 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/140 + (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (391*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (1541*S[2, Infinity]^2*S[3, Infinity])/280 - (475831*S[7, Infinity])/
    3584 + (201*S[-5, 1, 1, Infinity])/14 - (134*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((10755*S[5, Infinity])/224 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((963*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-223*S[2, Infinity]^3)/80 - (1695*S[3, Infinity]^2)/
      112 + (48*S[-5, -1, Infinity])/7 + 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, -1, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^7)/840 + (S[-1, Infinity]^5*S[2, Infinity])/6 + 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (18381*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (1444963*S[7, Infinity])/7168 + (543*S[-5, 1, 1, Infinity])/28 - 
   (717*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-707*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((57535*S[5, Infinity])/896 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/4 + (5681*S[5, Infinity])/128 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-8871*S[2, Infinity]^3)/1120 - (20565*S[3, Infinity]^2)/896 + 
     (459*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   87*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -2, -1, -1, -1, Infinity] -> (-3*S[-1, Infinity]^7)/560 + 
   (91*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (175*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (16889*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (831791*S[7, Infinity])/3584 + (603*S[-5, 1, 1, Infinity])/28 - 
   (395*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((37473*S[5, Infinity])/448 - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-27*S[2, Infinity]*S[3, Infinity])/32 + 
     (3135*S[5, Infinity])/64 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-4311*S[2, Infinity]^3)/560 - (22965*S[3, Infinity]^2)/
      896 + (519*S[-5, -1, Infinity])/28 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   99*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, 1, 1, 1, Infinity] -> 
  (5*S[-1, Infinity]^7)/504 + (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (787*S[2, Infinity]^2*S[3, Infinity])/140 + (84669*S[7, Infinity])/1792 + 
   (6*S[-5, 1, 1, Infinity])/7 + (41*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-5*S[2, Infinity]^2)/24 - S[-1, 1, 1, 1, Infinity]/
      2) - (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-3441*S[5, Infinity])/224 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/4 - (91*S[5, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-143*S[2, Infinity]^3)/280 - (557*S[3, Infinity]^2)/448 + 
     (47*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 2, 1, 1, -1, Infinity] -> (9*S[-1, Infinity]^7)/560 + 
   (31*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (51*S[2, Infinity]^2*S[3, Infinity])/56 + (124065*S[7, Infinity])/3584 - 
   (11*S[-5, 1, 1, Infinity])/7 + (69*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((19*S[2, Infinity]^2)/60 - (2*S[-1, 1, 1, 1, Infinity])/
      3) + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-5681*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/16 - (275*S[5, Infinity])/64 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((59*S[2, Infinity]^3)/80 + (803*S[3, Infinity]^2)/448 + 
     (13*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, 1, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^7)/1680 - (43*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (176*S[2, Infinity]^2*S[3, Infinity])/35 - 
   (61591*S[2, Infinity]*S[5, Infinity])/896 + (1344229*S[7, Infinity])/
    7168 - (507*S[-5, 1, 1, Infinity])/28 + (655*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((49*S[2, Infinity]^2)/40 - S[-1, 1, 1, 1, Infinity]/
      2) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
     (5169*S[5, Infinity])/128 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((2557*S[2, Infinity]^3)/1120 + (8481*S[3, Infinity]^2)/
      448 - (103*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     27*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   87*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, 1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/840 - (11*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (73*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (18527*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (198671*S[7, Infinity])/896 - (561*S[-5, 1, 1, Infinity])/28 + 
   (187*S[5, -1, -1, Infinity])/7 + S[2, Infinity]*
    ((-35891*S[5, Infinity])/448 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 - 
     (1455*S[5, Infinity])/32 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1503*S[2, Infinity]^3)/560 + (9561*S[3, Infinity]^2)/
      448 - (65*S[-5, -1, Infinity])/7 - 27*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   87*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, -1, 1, 1, Infinity] -> 
  (53*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (801*S[2, Infinity]^2*S[3, Infinity])/80 - (132951*S[7, Infinity])/512 + 
   (95*S[-5, 1, 1, Infinity])/4 - (63*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^3*((-371*S[2, Infinity]^2)/240 - 
     S[-1, 1, 1, 1, Infinity]/3) + 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((11639*S[5, Infinity])/128 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-23*S[2, Infinity]*S[3, Infinity])/32 + (6301*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-2851*S[2, Infinity]^3)/560 - (1459*S[3, Infinity]^2)/64 + 
     (25*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     30*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   109*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 2, -1, 1, -1, Infinity] -> S[-1, Infinity]^7/70 - 
   (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (15773*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (1529839*S[7, Infinity])/7168 + (573*S[-5, 1, 1, Infinity])/28 - 
   (757*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-211*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/4 + 
     (1335*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((34319*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-4423*S[2, Infinity]^3)/1120 - (8373*S[3, Infinity]^2)/448 + 
     (83*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     30*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   93*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, -1, -1, 1, Infinity] -> 
  (37*S[-1, Infinity]^7)/840 + (S[-1, Infinity]^5*S[2, Infinity])/5 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (321*S[2, Infinity]^2*S[3, Infinity])/28 - (761059*S[7, Infinity])/1792 + 
   (318*S[-5, 1, 1, Infinity])/7 - (375*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-421*S[2, Infinity]^2)/120 - 
     S[-1, 1, 1, 1, Infinity]) - (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/8 + 
     (2947*S[5, Infinity])/32 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((35089*S[5, Infinity])/224 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-349*S[2, Infinity]^3)/40 - (1317*S[3, Infinity]^2)/28 + 
     (136*S[-5, -1, Infinity])/7 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   180*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 2, -1, -1, -1, Infinity] -> (43*S[-1, Infinity]^7)/1680 + 
   (27*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (19073*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (210473*S[7, Infinity])/448 + (312*S[-5, 1, 1, Infinity])/7 - 
   (416*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-187*S[2, Infinity]^2)/48 - S[-1, 1, 1, 1, Infinity]/2) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((1551*S[5, Infinity])/16 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((19489*S[5, Infinity])/112 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-4163*S[2, Infinity]^3)/560 - (1287*S[3, Infinity]^2)/
      28 + (130*S[-5, -1, Infinity])/7 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   192*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 2, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/2520 - (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1773*S[2, Infinity]^2*S[3, Infinity])/560 - (254007*S[7, Infinity])/
    7168 - (9*S[-5, 1, 1, Infinity])/14 - (123*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((13*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]/
      2) + (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((49*S[2, Infinity]*S[3, Infinity])/32 + 
     (81*S[5, Infinity])/128 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((8979*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((27*S[2, Infinity]^3)/160 + (1637*S[3, Infinity]^2)/896 - 
     (123*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   15*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 2, 1, -1, Infinity] -> 
  (-43*S[-1, Infinity]^7)/5040 - (5*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (9*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (321*S[2, Infinity]^2*S[3, Infinity])/112 + (28299*S[7, Infinity])/7168 + 
   (51*S[-5, 1, 1, Infinity])/14 + (39*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((2*S[2, Infinity]^2)/5 + S[-1, 1, 1, 1, Infinity]/2) - 
   (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-6291*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-33*S[2, Infinity]*S[3, Infinity])/32 - (105*S[5, Infinity])/128 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-561*S[2, Infinity]^3)/1120 - (2477*S[3, Infinity]^2)/896 - 
     (3*S[-5, -1, Infinity])/28 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 10*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 2, -1, 1, Infinity] -> 
  (31*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (31*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (2123*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (1094817*S[7, Infinity])/7168 + (297*S[-5, 1, 1, Infinity])/14 - 
   (435*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-47*S[2, Infinity]^2)/60 - S[-1, 1, 1, 1, Infinity]/6) - 
   (31*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-83*S[2, Infinity]*S[3, Infinity])/32 + 
     (2319*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((10947*S[5, Infinity])/224 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-157*S[2, Infinity]^3)/32 - (1149*S[3, Infinity]^2)/56 + 
     (293*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 27*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   90*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 2, -1, -1, Infinity] -> 
  (11*S[-1, Infinity]^7)/720 + (31*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (7849*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (1649241*S[7, Infinity])/7168 + (579*S[-5, 1, 1, Infinity])/28 - 
   (723*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-353*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-35*S[2, Infinity]*S[3, Infinity])/32 + 
     (5847*S[5, Infinity])/128 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((69831*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-7103*S[2, Infinity]^3)/1120 - (9921*S[3, Infinity]^2)/448 + 
     (139*S[-5, -1, Infinity])/14 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 27*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   105*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, 2, 1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/5040 + (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (731*S[2, Infinity]^2*S[3, Infinity])/280 - (23769*S[7, Infinity])/3584 - 
   (17*S[-5, 1, 1, Infinity])/7 - (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/240 - S[-1, 1, 1, 1, Infinity]/6) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/16 + 
     (35*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2097*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((331*S[2, Infinity]^3)/560 + (295*S[3, Infinity]^2)/224 - 
     (5*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^7/5040 - (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (437*S[2, Infinity]^2*S[3, Infinity])/140 - (34521*S[7, Infinity])/1792 - 
   (34*S[-5, 1, 1, Infinity])/7 - (13*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((71*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/
      6) + (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((17*S[2, Infinity]*S[3, Infinity])/8 - 
     (29*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1649*S[5, Infinity])/224 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((179*S[2, Infinity]^3)/280 + (975*S[3, Infinity]^2)/224 - 
     (73*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, 1, 2, Infinity] -> S[-1, Infinity]^7/560 - 
   (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (149*S[2, Infinity]^2*S[3, Infinity])/112 + (19497*S[7, Infinity])/3584 + 
   (27*S[-5, 1, 1, Infinity])/28 + (5*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 - 
     (33*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-2321*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-15*S[2, Infinity]^3)/56 - 
     (65*S[3, Infinity]^2)/112 + (13*S[-5, -1, Infinity])/28 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, 1, -2, Infinity] -> S[-1, Infinity]^7/840 - 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (33*S[2, Infinity]^2*S[3, Infinity])/40 - (2151*S[7, Infinity])/256 + 
   (5*S[-5, 1, 1, Infinity])/2 - 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-27*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/4 + 
     (123*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-47*S[2, Infinity]^3)/35 - (5*S[3, Infinity]^2)/2 + 
     2*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, -1, 2, Infinity] -> 
  (-3*S[-1, Infinity]^7)/280 - (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (16*S[2, Infinity]^2*S[3, Infinity])/7 - (273127*S[7, Infinity])/7168 - 
   (19*S[-5, 1, 1, Infinity])/28 - (145*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/20 + S[-1, 1, 1, 1, Infinity]/2) + 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((5597*S[5, Infinity])/448 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((27*S[2, Infinity]*S[3, Infinity])/16 + (123*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-489*S[2, Infinity]^3)/1120 + (1355*S[3, Infinity]^2)/896 - 
     (89*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, -1, -2, Infinity] -> 
  (-17*S[-1, Infinity]^7)/1680 + (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (7579*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (6437*S[2, Infinity]*S[5, Infinity])/896 - (184237*S[7, Infinity])/7168 - 
   (5*S[-5, 1, 1, Infinity])/7 - (83*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/16 + S[-1, 1, 1, 1, Infinity]/2) + 
   (29*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/8 - 
     (33*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((421*S[2, Infinity]^3)/1120 + (1395*S[3, Infinity]^2)/
      896 - (45*S[-5, -1, Infinity])/14 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, -2, 1, Infinity] -> 
  S[-1, Infinity]^7/1008 + (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (845*S[2, Infinity]^2*S[3, Infinity])/448 + (154353*S[7, Infinity])/3584 - 
   (75*S[-5, 1, 1, Infinity])/28 + (71*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/
      6) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-13075*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/
      32 - (1015*S[5, Infinity])/128 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-27*S[2, Infinity]^3)/280 + (2251*S[3, Infinity]^2)/
      896 + (4*S[-5, -1, Infinity])/7 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   23*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^7/720 + (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1171*S[2, Infinity]^2*S[3, Infinity])/320 + (37265*S[7, Infinity])/512 - 
   (11*S[-5, 1, 1, Infinity])/4 + (13*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/
      6) - (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-2535*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-31*S[2, Infinity]*S[3, Infinity])/32 - (1201*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((317*S[2, Infinity]^3)/280 + (333*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity]/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   35*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, 2, 1, Infinity] -> 
  (-19*S[-1, Infinity]^7)/1008 + (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (41*S[2, Infinity]^2*S[3, Infinity])/20 + (43101*S[7, Infinity])/1024 - 
   (21*S[-5, 1, 1, Infinity])/4 + (21*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((49*S[2, Infinity]^2)/240 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-2473*S[5, Infinity])/128 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((31*S[2, Infinity]*S[3, Infinity])/32 - (1015*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((-143*S[2, Infinity]^3)/1120 + (241*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   18*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, 2, -1, Infinity] -> 
  (-107*S[-1, Infinity]^7)/5040 - (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (1061*S[2, Infinity]^2*S[3, Infinity])/448 + (122205*S[7, Infinity])/
    3584 - (117*S[-5, 1, 1, Infinity])/14 + (51*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((133*S[2, Infinity]^2)/240 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 7*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((121*S[2, Infinity]*S[3, Infinity])/32 - (1201*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    ((-7915*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((1829*S[2, Infinity]^3)/560 + (3427*S[3, Infinity]^2)/
      448 - (33*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   30*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, 1, 2, Infinity] -> 
  S[-1, Infinity]^7/315 + (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (801*S[2, Infinity]^2*S[3, Infinity])/560 - (16881*S[7, Infinity])/7168 - 
   (17*S[-5, 1, 1, Infinity])/14 - (13*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-11*S[2, Infinity]^2)/60 - S[-1, 1, 1, 1, Infinity]/
      3) + (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 + 
     (23*S[5, Infinity])/16 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3119*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((587*S[2, Infinity]^3)/1120 + (569*S[3, Infinity]^2)/896 + 
     (9*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 5*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, 1, -2, Infinity] -> (19*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (6057*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (83865*S[7, Infinity])/3584 + (2*S[-5, 1, 1, Infinity])/7 + 
   (23*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-7*S[2, Infinity]^2)/48 - S[-1, 1, 1, 1, Infinity]/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-6751*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-43*S[2, Infinity]*S[3, Infinity])/32 - (95*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-317*S[2, Infinity]^3)/560 - (1111*S[3, Infinity]^2)/896 + 
     (39*S[-5, -1, Infinity])/14 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, -1, 2, Infinity] -> (13*S[-1, Infinity]^7)/1680 - 
   (19*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (139*S[2, Infinity]^2*S[3, Infinity])/224 + (39397*S[7, Infinity])/7168 - 
   (18*S[-5, 1, 1, Infinity])/7 + (61*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((13*S[2, Infinity]^2)/48 - S[-1, 1, 1, 1, Infinity]/
      2) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-3543*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((17*S[2, Infinity]*S[3, Infinity])/32 - 
     (95*S[5, Infinity])/128 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-417*S[2, Infinity]^3)/1120 + (265*S[3, Infinity]^2)/
      224 + (47*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, -1, -2, Infinity] -> S[-1, Infinity]^7/140 + 
   (17*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (149*S[2, Infinity]^2*S[3, Infinity])/56 + (77249*S[7, Infinity])/3584 + 
   (3*S[-5, 1, 1, Infinity])/7 + (41*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-31*S[2, Infinity]^2)/60 - S[-1, 1, 1, 1, Infinity]/
      2) - (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/4 + 
     (23*S[5, Infinity])/16 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-3753*S[5, Infinity])/896 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-39*S[2, Infinity]^3)/560 - (575*S[3, Infinity]^2)/224 + 
     (131*S[-5, -1, Infinity])/28 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, -2, 1, Infinity] -> 
  (7*S[-1, Infinity]^7)/720 + (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (17*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (1537*S[2, Infinity]^2*S[3, Infinity])/320 + (20781*S[7, Infinity])/512 + 
   2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((-59*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 7*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-725*S[5, Infinity])/64 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-61*S[2, Infinity]*S[3, Infinity])/32 + (35*S[5, Infinity])/64 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-25*S[2, Infinity]^3)/56 - (215*S[3, Infinity]^2)/64 + 
     (23*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -1, -2, -1, Infinity] -> (59*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (17*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (619*S[2, Infinity]^2*S[3, Infinity])/140 + (228657*S[7, Infinity])/7168 + 
   (45*S[-5, 1, 1, Infinity])/28 + (171*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-79*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 7*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-6553*S[5, Infinity])/448 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-103*S[2, Infinity]*S[3, Infinity])/32 - (29*S[5, Infinity])/32 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-535*S[2, Infinity]^3)/224 - (1285*S[3, Infinity]^2)/448 + 
     (75*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 9*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -2, 1, 1, Infinity] -> 
  (-7*S[-1, Infinity]^7)/720 + (17*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (41*S[2, Infinity]^2*S[3, Infinity])/448 + (16145*S[7, Infinity])/7168 - 
   (41*S[-5, 1, 1, Infinity])/28 + S[5, -1, -1, Infinity]/28 + 
   S[-1, Infinity]^3*((-7*S[2, Infinity]^2)/48 + S[-1, 1, 1, 1, Infinity]/
      2) - (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((185*S[2, Infinity]^3)/224 + (603*S[3, Infinity]^2)/448 - 
     (31*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 - 
     (477*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((2601*S[5, Infinity])/896 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/168 + (3*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (2997*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (221583*S[7, Infinity])/7168 + (87*S[-5, 1, 1, Infinity])/28 - 
   (123*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-81*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/2) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-415*S[2, Infinity]^3)/224 - (807*S[3, Infinity]^2)/
      224 + (33*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/16 + 
     (639*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((9735*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -2, -1, 1, Infinity] -> 
  (-157*S[-1, Infinity]^7)/5040 - (17*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (49*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (2043*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (1191787*S[7, Infinity])/7168 - (155*S[-5, 1, 1, Infinity])/7 + 
   (549*S[5, -1, -1, Infinity])/28 + 
   (49*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^3*((123*S[2, Infinity]^2)/80 + 
     (7*S[-1, 1, 1, 1, Infinity])/6) + S[2, Infinity]*
    ((-54161*S[5, Infinity])/896 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((119*S[2, Infinity]*S[3, Infinity])/32 - 
     (5375*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((6511*S[2, Infinity]^3)/1120 + (5423*S[3, Infinity]^2)/
      224 - (361*S[-5, -1, Infinity])/28 + 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     15*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   80*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -2, -1, -1, Infinity] -> (-17*S[-1, Infinity]^7)/504 - 
   (17*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (29*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1039*S[2, Infinity]^2*S[3, Infinity])/280 + (1300629*S[7, Infinity])/
    7168 - (681*S[-5, 1, 1, Infinity])/28 + (579*S[5, -1, -1, Infinity])/28 + 
   (25*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^3*((25*S[2, Infinity]^2)/12 + (7*S[-1, 1, 1, 1, Infinity])/
      6) + S[2, Infinity]*((-3567*S[5, Infinity])/56 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((113*S[2, Infinity]*S[3, Infinity])/32 - (2889*S[5, Infinity])/64 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((7561*S[2, Infinity]^3)/1120 + (11037*S[3, Infinity]^2)/448 - 
     (211*S[-5, -1, Infinity])/14 + 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     15*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   93*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 2, 1, 1, Infinity] -> 
  (11*S[-1, Infinity]^7)/5040 + (17*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (53*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-29*S[2, Infinity]*S[3, Infinity])/32 - 
     (477*S[5, Infinity])/128) + (93141*S[7, Infinity])/7168 - 
   (5*S[-5, 1, 1, Infinity])/28 + (37*S[5, -1, -1, Infinity])/28 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-349*S[5, Infinity])/896 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((673*S[2, Infinity]^3)/1120 + (275*S[3, Infinity]^2)/448 - 
     (13*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/168 + (3*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (101*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (3099*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (12597*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/16 + 
     (825*S[5, Infinity])/128) - (207939*S[7, Infinity])/7168 + 
   (99*S[-5, 1, 1, Infinity])/28 - (153*S[5, -1, -1, Infinity])/28 + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-1457*S[2, Infinity]^3)/1120 - 
     (1707*S[3, Infinity]^2)/448 + (39*S[-5, -1, Infinity])/14 - 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 2, -1, 1, Infinity] -> (-17*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (29*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (20409*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (941671*S[7, Infinity])/3584 - (677*S[-5, 1, 1, Infinity])/28 + 
   (435*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((229*S[2, Infinity]^2)/240 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-76467*S[5, Infinity])/896 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/32 - (5871*S[5, Infinity])/128 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((3027*S[2, Infinity]^3)/560 + (10327*S[3, Infinity]^2)/448 - 
     (117*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   115*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 2, -1, -1, Infinity] -> -S[-1, Infinity]^7/168 - 
   (3*S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (1301*S[2, Infinity]^2*S[3, Infinity])/140 + (31861*S[7, Infinity])/112 - 
   (184*S[-5, 1, 1, Infinity])/7 + (236*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/2 - (2*S[-1, 1, 1, 1, Infinity])/
      3) + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-20889*S[5, Infinity])/224 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/8 - (1615*S[5, Infinity])/32 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((143*S[2, Infinity]^3)/20 + (11213*S[3, Infinity]^2)/448 - 
     (44*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     42*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 1, 2, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/1008 + (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (551*S[2, Infinity]^2*S[3, Infinity])/1120 + (82513*S[7, Infinity])/3584 - 
   (107*S[-5, 1, 1, Infinity])/28 + (17*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((13*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
      2) + (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-4775*S[5, Infinity])/896 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    (S[2, Infinity]*S[3, Infinity] - (1077*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((207*S[2, Infinity]^3)/280 + (783*S[3, Infinity]^2)/224 - 
     (65*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   22*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 1, 2, -1, Infinity] -> 
  (-97*S[-1, Infinity]^7)/5040 - (47*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (1979*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (290657*S[7, Infinity])/7168 - (115*S[-5, 1, 1, Infinity])/14 + 
   (71*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((131*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/2) + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((85*S[2, Infinity]*S[3, Infinity])/16 - 
     (1635*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-9089*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((4023*S[2, Infinity]^3)/1120 + 
     (2013*S[3, Infinity]^2)/224 - (47*S[-5, -1, Infinity])/7 + 
     6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   34*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 1, 1, 2, Infinity] -> 
  S[-1, Infinity]^7/504 + (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (4*S[2, Infinity]^2*S[3, Infinity])/7 + (24471*S[7, Infinity])/3584 - 
   (13*S[-5, 1, 1, Infinity])/7 + (23*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/10 - S[-1, 1, 1, 1, Infinity]/6) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 - 
     (109*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-661*S[5, Infinity])/224 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-37*S[2, Infinity]^3)/80 + (51*S[3, Infinity]^2)/28 + 
     S[-5, -1, Infinity]/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, 1, -2, Infinity] -> (13*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (197*S[2, Infinity]^2*S[3, Infinity])/140 + (170201*S[7, Infinity])/7168 - 
   (17*S[-5, 1, 1, Infinity])/14 + (85*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-3*S[2, Infinity]^2)/16 - S[-1, 1, 1, 1, Infinity]/
      6) + (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-11707*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-25*S[2, Infinity]*S[3, Infinity])/32 - (529*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-283*S[2, Infinity]^3)/224 + (57*S[3, Infinity]^2)/56 + 
     (11*S[-5, -1, Infinity])/14 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[-1, 1, 1, 1, 1, 1, 1, 
    Infinity], S[-1, -1, -1, 1, -1, 2, Infinity] -> 
  (-47*S[-1, Infinity]^7)/5040 + (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (17*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (3007*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (247861*S[7, Infinity])/7168 + (25*S[-5, 1, 1, Infinity])/28 + 
   (137*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-5*S[2, Infinity]^2)/48 + S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1779*S[2, Infinity]^3)/1120 - 
     (241*S[3, Infinity]^2)/448 + (37*S[-5, -1, Infinity])/14 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-18387*S[5, Infinity])/896 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-37*S[2, Infinity]*S[3, Infinity])/32 - (529*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, -1, -2, Infinity] -> (-5*S[-1, Infinity]^7)/504 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (17*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (61*S[2, Infinity]^2*S[3, Infinity])/320 + (763*S[7, Infinity])/256 - 
   (5*S[-5, 1, 1, Infinity])/4 + 2*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/30 + S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-21*S[2, Infinity]^3)/40 + (137*S[3, Infinity]^2)/64 + 
     S[-5, -1, Infinity]/2 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*(S[2, Infinity]*S[3, Infinity] - 
     (109*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-429*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^7/240 - (3*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (2593*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (82857*S[7, Infinity])/7168 + (75*S[-5, 1, 1, Infinity])/14 - 
   (25*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((11*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-337*S[5, Infinity])/448 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-11*S[2, Infinity]*S[3, Infinity])/32 + (159*S[5, Infinity])/64 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-225*S[2, Infinity]^3)/224 - (3613*S[3, Infinity]^2)/896 + 
     (6*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   21*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, -2, -1, Infinity] -> (-11*S[-1, Infinity]^7)/5040 + 
   (41*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (779*S[2, Infinity]^2*S[3, Infinity])/2240 - (3119*S[7, Infinity])/112 + 
   (197*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-93*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
      2) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-551*S[5, Infinity])/448 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-155*S[2, Infinity]*S[3, Infinity])/32 + (63*S[5, Infinity])/16 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-1117*S[2, Infinity]^3)/280 - (5493*S[3, Infinity]^2)/896 + 
     (71*S[-5, -1, Infinity])/28 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   31*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -1, 2, 1, Infinity] -> 
  (-41*S[-1, Infinity]^7)/5040 - (3*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (19*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (1749*S[2, Infinity]^2*S[3, Infinity])/560 - (158897*S[7, Infinity])/
    3584 + (11*S[-5, 1, 1, Infinity])/7 - (69*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((31*S[2, Infinity]^2)/240 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 5*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((21*S[2, Infinity]*S[3, Infinity])/16 + (159*S[5, Infinity])/64 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((4869*S[5, Infinity])/448 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-167*S[2, Infinity]^3)/560 - (61*S[3, Infinity]^2)/448 - 
     (89*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 13*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   22*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, 2, -1, Infinity] -> (-31*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (129*S[2, Infinity]^2*S[3, Infinity])/160 - (793*S[7, Infinity])/16 + 
   4*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((11*S[2, Infinity]^2)/240 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) - S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/16 + (63*S[5, Infinity])/16 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((131*S[5, Infinity])/16 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-1513*S[2, Infinity]^3)/560 - (203*S[3, Infinity]^2)/
      64 - (3*S[-5, -1, Infinity])/4 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 13*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -1, 1, 2, Infinity] -> 
  (-17*S[-1, Infinity]^7)/5040 + (23*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (409*S[2, Infinity]^2*S[3, Infinity])/80 + (1099*S[7, Infinity])/32 + 
   (17*S[-5, 1, 1, Infinity])/4 + (7*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^3*((-23*S[2, Infinity]^2)/48 + S[-1, 1, 1, 1, Infinity]/
      6) - (41*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/4 - 
     (157*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-1517*S[5, Infinity])/128 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-541*S[2, Infinity]^3)/560 - (211*S[3, Infinity]^2)/64 + 
     (11*S[-5, -1, Infinity])/4 - (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^7/252 - (13*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (7169*S[2, Infinity]^2*S[3, Infinity])/2240 - (1909*S[7, Infinity])/112 - 
   S[-5, 1, 1, Infinity]/7 - (23*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/30 + S[-1, 1, 1, 1, Infinity]/6) + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((2455*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((11*S[2, Infinity]*S[3, Infinity])/8 - S[5, Infinity]/2 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((-31*S[2, Infinity]^3)/140 + (983*S[3, Infinity]^2)/448 - 
     (23*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -1, -1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (3*S[2, Infinity]^2*S[3, Infinity])/40 + S[-1, Infinity]*
    ((-57*S[2, Infinity]^3)/112 + S[3, Infinity]^2/4) + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/16 - 
     S[5, Infinity]/2) - (13*S[2, Infinity]*S[5, Infinity])/32 - 
   S[7, Infinity], S[-1, -1, -1, -1, -1, -2, Infinity] -> 
  S[-1, Infinity]^7/1680 - (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (669*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
     (157*S[5, Infinity])/128) - (2329*S[2, Infinity]*S[5, Infinity])/896 + 
   (17401*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((-261*S[2, Infinity]^3)/560 + (43*S[3, Infinity]^2)/112 - 
     (3*S[-5, -1, Infinity])/28) - (3*S[-5, 1, 1, Infinity])/28 + 
   (9*S[5, -1, -1, Infinity])/14 - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, -2, 1, Infinity] -> (11*S[-1, Infinity]^7)/1008 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (17*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (69*S[2, Infinity]^2*S[3, Infinity])/280 + (156281*S[7, Infinity])/3584 - 
   (115*S[-5, 1, 1, Infinity])/28 + (65*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-101*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) + S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-11107*S[5, Infinity])/896 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/16 - (1077*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((197*S[2, Infinity]^3)/560 + (449*S[3, Infinity]^2)/112 - 
     (3*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   29*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, -2, -1, Infinity] -> (43*S[-1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (17*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (369*S[2, Infinity]^2*S[3, Infinity])/160 + (5179*S[7, Infinity])/64 - 
   (25*S[-5, 1, 1, Infinity])/4 + 7*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) + S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-2677*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/16 - (1635*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((235*S[2, Infinity]^3)/112 + (107*S[3, Infinity]^2)/16 - 
     (9*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   41*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -2, 1, 1, Infinity] -> 
  (13*S[-1, Infinity]^7)/2520 - (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1903*S[2, Infinity]^2*S[3, Infinity])/448 + (84465*S[7, Infinity])/7168 + 
   (53*S[-5, 1, 1, Infinity])/14 + (43*S[5, -1, -1, Infinity])/28 - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-5365*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-15*S[2, Infinity]*S[3, Infinity])/16 + (81*S[5, Infinity])/128 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-139*S[2, Infinity]^3)/160 - (2553*S[3, Infinity]^2)/896 + 
     (43*S[-5, -1, Infinity])/28 + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -2, 1, -1, Infinity] -> (17*S[-1, Infinity]^7)/5040 - 
   (5*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (69*S[2, Infinity]^2*S[3, Infinity])/112 + (97641*S[7, Infinity])/7168 + 
   (15*S[-5, 1, 1, Infinity])/7 + (81*S[5, -1, -1, Infinity])/28 + 
   S[2, Infinity]*((-9021*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-15*S[2, Infinity]*S[3, Infinity])/32 - (291*S[5, Infinity])/128 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((51*S[2, Infinity]^3)/160 - (517*S[3, Infinity]^2)/896 - 
     (3*S[-5, -1, Infinity])/28 + 7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -2, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/120 - (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (22013*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (121543*S[7, Infinity])/448 + (673*S[-5, 1, 1, Infinity])/28 - 
   (215*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-7*S[2, Infinity]^2)/10 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((-35*S[2, Infinity]*S[3, Infinity])/32 + (2567*S[5, Infinity])/64 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((20301*S[5, Infinity])/224 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-593*S[2, Infinity]^3)/112 - (4399*S[3, Infinity]^2)/224 - 
     (55*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   119*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -2, -1, -1, Infinity] -> (19*S[-1, Infinity]^7)/1680 + 
   (S[-1, Infinity]^5*S[2, Infinity])/16 + (S[-1, Infinity]^4*S[3, Infinity])/
    24 + (11497*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (1078757*S[7, Infinity])/3584 + (401*S[-5, 1, 1, Infinity])/14 - 
   (523*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-111*S[2, Infinity]^2)/80 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/8 + (6529*S[5, Infinity])/128 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((88587*S[5, Infinity])/896 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-1961*S[2, Infinity]^3)/280 - (1459*S[3, Infinity]^2)/56 + 
     (37*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   134*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, 1, 1, 1, Infinity] -> 
  (13*S[-1, Infinity]^7)/2520 - (3*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (19*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1013*S[2, Infinity]^2*S[3, Infinity])/448 - (38191*S[7, Infinity])/896 + 
   (61*S[-5, 1, 1, Infinity])/28 - (71*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((33*S[2, Infinity]*S[3, Infinity])/32 + 
     (283*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((7563*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((209*S[2, Infinity]^3)/560 - 
     (471*S[3, Infinity]^2)/448 - (18*S[-5, -1, Infinity])/7 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/112 - (11*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (211*S[2, Infinity]^2*S[3, Infinity])/320 - (2601*S[7, Infinity])/512 + 
   S[-5, 1, 1, Infinity]/4 - 2*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/8 - S[-1, 1, 1, 1, Infinity]/6) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((27*S[2, Infinity]*S[3, Infinity])/32 - 
     (27*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((107*S[5, Infinity])/32 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((331*S[2, Infinity]^3)/280 + 
     (87*S[3, Infinity]^2)/64 - (9*S[-5, -1, Infinity])/2 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -2, 1, -1, 1, Infinity] -> (29*S[-1, Infinity]^7)/1680 + 
   (S[-1, Infinity]^5*S[2, Infinity])/16 - 
   (49*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (3477*S[2, Infinity]^2*S[3, Infinity])/560 - (1444963*S[7, Infinity])/
    7168 + (543*S[-5, 1, 1, Infinity])/28 - (717*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/16 + 
     (5123*S[5, Infinity])/128 - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((65459*S[5, Infinity])/896 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-941*S[2, Infinity]^3)/224 - (18507*S[3, Infinity]^2)/896 + 
     (263*S[-5, -1, Infinity])/28 + 21*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   87*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -2, 1, -1, -1, Infinity] -> -S[-1, Infinity]^7/840 + 
   (S[-1, Infinity]^5*S[2, Infinity])/5 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (3655*S[2, Infinity]^2*S[3, Infinity])/448 - (831791*S[7, Infinity])/
    3584 + (603*S[-5, 1, 1, Infinity])/28 - (395*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-583*S[2, Infinity]^2)/240 + 
     S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 + 
     (357*S[5, Infinity])/8 - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((36227*S[5, Infinity])/448 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-2837*S[2, Infinity]^3)/560 - (20907*S[3, Infinity]^2)/896 + 
     (323*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     21*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   99*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, -1, 1, 1, Infinity] -> 
  (-73*S[-1, Infinity]^7)/5040 - (11*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (21727*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (892235*S[7, Infinity])/3584 - (289*S[-5, 1, 1, Infinity])/14 + 
   (209*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((241*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/6) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-9613*S[5, Infinity])/112 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/16 - (1455*S[5, Infinity])/32 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((575*S[2, Infinity]^3)/112 + (18941*S[3, Infinity]^2)/896 - 
     (36*S[-5, -1, Infinity])/7 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 30*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   101*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/120 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (367*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (5381*S[2, Infinity]^2*S[3, Infinity])/560 + (1917295*S[7, Infinity])/
    7168 - (303*S[-5, 1, 1, Infinity])/14 + (955*S[5, -1, -1, Infinity])/28 + 
   S[2, Infinity]*((-88237*S[5, Infinity])/896 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-21*S[2, Infinity]*S[3, Infinity])/32 - (6471*S[5, Infinity])/128 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((769*S[2, Infinity]^3)/160 + (20061*S[3, Infinity]^2)/896 - 
     (43*S[-5, -1, Infinity])/7 - 30*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   105*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -2, -1, -1, 1, Infinity] -> S[-1, Infinity]^7/210 - 
   (S[-1, Infinity]^5*S[2, Infinity])/4 - (S[-1, Infinity]^4*S[3, Infinity])/
    32 - (1103*S[2, Infinity]^2*S[3, Infinity])/70 + 
   (1590979*S[7, Infinity])/3584 - (591*S[-5, 1, 1, Infinity])/14 + 
   (781*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((221*S[2, Infinity]^2)/60 - S[-1, 1, 1, 1, Infinity]/2) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-143657*S[5, Infinity])/896 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/16 - (11307*S[5, Infinity])/128 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((905*S[2, Infinity]^3)/112 + (2409*S[3, Infinity]^2)/56 - 
     (227*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   186*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -2, -1, -1, -1, Infinity] -> (-9*S[-1, Infinity]^7)/560 - 
   (5*S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (175*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (3517*S[2, Infinity]^2*S[3, Infinity])/224 + (1590979*S[7, Infinity])/
    3584 - (591*S[-5, 1, 1, Infinity])/14 + (781*S[5, -1, -1, Infinity])/14 + 
   S[2, Infinity]*((-143657*S[5, Infinity])/896 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/16 - (11307*S[5, Infinity])/128 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((2231*S[2, Infinity]^3)/280 + (2409*S[3, Infinity]^2)/56 - 
     (227*S[-5, -1, Infinity])/14 - 48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   186*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/252 - (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   2*S[2, Infinity]^2*S[3, Infinity] - (8415*S[7, Infinity])/1024 - 
   (5*S[-5, 1, 1, Infinity])/4 - (5*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/12 + S[-1, 1, 1, 1, Infinity]/6) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/32 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    ((235*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((305*S[2, Infinity]^3)/224 + (151*S[3, Infinity]^2)/128 - 
     (5*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, 1, 1, 
    Infinity], S[-1, -2, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/168 - (17*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (227*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (5233*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/32 + 
     (279*S[5, Infinity])/128) - (158127*S[7, Infinity])/7168 + 
   (2*S[-5, 1, 1, Infinity])/7 - (55*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-211*S[2, Infinity]^2)/240 + 
     S[-1, 1, 1, 1, Infinity]/6) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[-1, Infinity]*((-1023*S[2, Infinity]^3)/1120 - 
     (663*S[3, Infinity]^2)/896 + (2*S[-5, -1, Infinity])/7 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, 1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^7/720 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (933*S[2, Infinity]^2*S[3, Infinity])/1120 - (123589*S[7, Infinity])/
    3584 + (32*S[-5, 1, 1, Infinity])/7 - (27*S[5, -1, -1, Infinity])/14 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-31*S[2, Infinity]*S[3, Infinity])/16 + 
     (93*S[5, Infinity])/16 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1423*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-49*S[2, Infinity]^3)/16 - (3881*S[3, Infinity]^2)/896 + 
     (37*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     11*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, 1, -1, -1, Infinity] -> 
  (41*S[-1, Infinity]^7)/5040 + (19*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (37*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (109*S[2, Infinity]^2*S[3, Infinity])/1120 - (173353*S[7, Infinity])/
    7168 + (87*S[-5, 1, 1, Infinity])/28 - (67*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/32 + 
     (341*S[5, Infinity])/64 - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1613*S[5, Infinity])/224 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-27*S[2, Infinity]^3)/224 - (2241*S[3, Infinity]^2)/896 - 
     S[-5, -1, Infinity]/7 + 11*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   13*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, -1, 1, 1, Infinity] -> 
  (53*S[-1, Infinity]^7)/5040 - (7*S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (13*S[2, Infinity]^2*S[3, Infinity])/2 + (165179*S[7, Infinity])/1024 - 
   (59*S[-5, 1, 1, Infinity])/4 + (77*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((259*S[2, Infinity]^2)/120 + S[-1, 1, 1, 1, Infinity]/
      6) - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((41*S[2, Infinity]*S[3, Infinity])/32 - 
     (4557*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-7033*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((4749*S[2, Infinity]^3)/1120 + (2149*S[3, Infinity]^2)/128 - 
     (21*S[-5, -1, Infinity])/2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   73*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, -1, 1, -1, Infinity] -> 
  (41*S[-1, Infinity]^7)/5040 - (11*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1411*S[2, Infinity]^2*S[3, Infinity])/320 + (71977*S[7, Infinity])/512 - 
   (25*S[-5, 1, 1, Infinity])/2 + 16*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((391*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/
      6) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-3251*S[5, Infinity])/64 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/32 - (1953*S[5, Infinity])/64 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((20*S[2, Infinity]^3)/7 + (1789*S[3, Infinity]^2)/128 - 
     (33*S[-5, -1, Infinity])/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, -1, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/630 - (17*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (291*S[2, Infinity]^2*S[3, Infinity])/448 + (1191787*S[7, Infinity])/
    7168 - (155*S[-5, 1, 1, Infinity])/7 + (549*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((29*S[2, Infinity]^2)/16 + (2*S[-1, 1, 1, 1, Infinity])/
      3) + 7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-6841*S[5, Infinity])/112 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/4 - (341*S[5, Infinity])/8 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((729*S[2, Infinity]^3)/160 + (21293*S[3, Infinity]^2)/896 - 
     (389*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   80*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, 1, -1, -1, -1, Infinity] -> (-43*S[-1, Infinity]^7)/2520 - 
   (71*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (55*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (3701*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((193*S[2, Infinity]*S[3, Infinity])/32 - 
     (1395*S[5, Infinity])/32) - (27843*S[2, Infinity]*S[5, Infinity])/448 + 
   (1300629*S[7, Infinity])/7168 - (681*S[-5, 1, 1, Infinity])/28 + 
   (579*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((773*S[2, Infinity]^2)/240 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (55*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((237*S[2, Infinity]^3)/32 + (23733*S[3, Infinity]^2)/
      896 - (225*S[-5, -1, Infinity])/14 + 
     (13*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     21*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   93*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, 1, 1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^7)/840 + (11*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (4251*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (368455*S[7, Infinity])/7168 + (26*S[-5, 1, 1, Infinity])/7 - 
   (155*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-29*S[2, Infinity]^2)/24 + S[-1, 1, 1, 1, Infinity]/6) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((5787*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/16 + (403*S[5, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-3739*S[2, Infinity]^3)/1120 - (2829*S[3, Infinity]^2)/448 + 
     (237*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   27*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/56 + (11*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (341*S[2, Infinity]^2*S[3, Infinity])/224 - (482781*S[7, Infinity])/7168 + 
   (171*S[-5, 1, 1, Infinity])/28 - (165*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-347*S[2, Infinity]^2)/240 + 
     S[-1, 1, 1, 1, Infinity]/6) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[-1, Infinity]^2*((-41*S[2, Infinity]*S[3, Infinity])/32 + 
     (2263*S[5, Infinity])/128 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((21271*S[5, Infinity])/896 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-3641*S[2, Infinity]^3)/1120 - (4169*S[3, Infinity]^2)/448 + 
     (76*S[-5, -1, Infinity])/7 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   36*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, 1, -1, 1, Infinity] -> 
  (-59*S[-1, Infinity]^7)/5040 - (7*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (1363*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (115343*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((1231*S[2, Infinity]^3)/1120 - (125*S[3, Infinity]^2)/56 + 
     (25*S[-5, -1, Infinity])/14) + (25*S[-5, 1, 1, Infinity])/14 - 
   (69*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/16 + (899*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((9209*S[5, Infinity])/896 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/560 - (3*S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (21*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (69*S[2, Infinity]^2*S[3, Infinity])/112 - 
   (465*S[-1, Infinity]^2*S[5, Infinity])/128 - 
   (5745*S[2, Infinity]*S[5, Infinity])/896 + (4119*S[7, Infinity])/224 + 
   S[-1, Infinity]*((481*S[2, Infinity]^3)/560 + (225*S[3, Infinity]^2)/112 - 
     (45*S[-5, -1, Infinity])/28) - (45*S[-5, 1, 1, Infinity])/28 + 
   (15*S[5, -1, -1, Infinity])/7 + 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, -1, -1, 1, 1, Infinity] -> (13*S[-1, Infinity]^7)/720 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (21*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (6543*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (1454139*S[7, Infinity])/7168 + (281*S[-5, 1, 1, Infinity])/14 - 
   (635*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-137*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/2) - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-63*S[2, Infinity]*S[3, Infinity])/32 + 
     (2883*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((32071*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-5767*S[2, Infinity]^3)/1120 - 
     (10211*S[3, Infinity]^2)/448 + (183*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     18*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   91*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, -1, -1, 1, -1, Infinity] -> (9*S[-1, Infinity]^7)/560 + 
   (21*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (2283*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (67353*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-81*S[2, Infinity]*S[3, Infinity])/16 + 
     (6045*S[5, Infinity])/128) - (383535*S[7, Infinity])/1792 + 
   (663*S[-5, 1, 1, Infinity])/28 - (351*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/5 - S[-1, 1, 1, 1, Infinity]/
      2) - (57*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-2313*S[2, Infinity]^3)/280 - (12231*S[3, Infinity]^2)/
      448 + (467*S[-5, -1, Infinity])/28 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 18*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   102*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, -1, -1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^7)/630 + 
   (39*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (503*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (4197*S[2, Infinity]^2*S[3, Infinity])/448 - (1078757*S[7, Infinity])/
    3584 + (401*S[-5, 1, 1, Infinity])/14 - (523*S[5, -1, -1, Infinity])/14 + 
   S[2, Infinity]*((23741*S[5, Infinity])/224 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/32 + (279*S[5, Infinity])/4 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-297*S[2, Infinity]^3)/35 - (7733*S[3, Infinity]^2)/224 + 
     (345*S[-5, -1, Infinity])/14 + 16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   134*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, -1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^7/90 + 
   (9*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (181*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (20907*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (121543*S[7, Infinity])/448 + (673*S[-5, 1, 1, Infinity])/28 - 
   (215*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/32 + (3813*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((11029*S[5, Infinity])/112 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((-3543*S[2, Infinity]^3)/560 - (6443*S[3, Infinity]^2)/
      224 + (561*S[-5, -1, Infinity])/28 + 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   119*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/252 + (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (4*S[2, Infinity]^2*S[3, Infinity])/5 + (1683*S[7, Infinity])/512 + 
   S[-5, 1, 1, Infinity]/2 + S[5, -1, -1, Infinity]/2 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/12 + S[-1, 1, 1, 1, Infinity]/6) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    ((-47*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/80 - (5*S[3, Infinity]^2)/8 + 
     S[-5, -1, Infinity]/2 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, 1, 1, 1, -1, Infinity] -> (-17*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/40 + (S[-1, Infinity]^4*S[3, Infinity])/
    32 - (3*S[2, Infinity]^2*S[3, Infinity])/40 + (2441*S[7, Infinity])/512 + 
   S[5, -1, -1, Infinity]/2 + S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/120 + 
     S[-1, 1, 1, 1, Infinity]/6) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[-1, Infinity]*((47*S[2, Infinity]^3)/560 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-95*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, 1, -1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^7)/5040 + (7*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (247*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 + 
     (93*S[5, Infinity])/64) - (7227*S[7, Infinity])/512 - 
   (3*S[5, -1, -1, Infinity])/2 + S[-1, Infinity]^3*
    (-S[2, Infinity]^2/6 + S[-1, 1, 1, 1, Infinity]/6) + 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-107*S[2, Infinity]^3)/112 + (7*S[3, Infinity]^2)/64 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((189*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, 1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^7/126 + 
   (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (993*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (5919*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/8 + 
     (403*S[5, Infinity])/128) - (49225*S[7, Infinity])/1792 + 
   (29*S[-5, 1, 1, Infinity])/28 - (31*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-9*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
      6) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-841*S[2, Infinity]^3)/560 - (811*S[3, Infinity]^2)/
      448 + (43*S[-5, -1, Infinity])/28 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/504 - (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (5799*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((71*S[2, Infinity]*S[3, Infinity])/32 - 
     (217*S[5, Infinity])/128) - (3091*S[7, Infinity])/448 + 
   S[-1, Infinity]*((61*S[2, Infinity]^3)/28 + (1437*S[3, Infinity]^2)/448 - 
     (89*S[-5, -1, Infinity])/28) - (89*S[-5, 1, 1, Infinity])/28 - 
   (10*S[5, -1, -1, Infinity])/7 + 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((6357*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   10*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/560 - (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (251*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (381*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((57*S[2, Infinity]*S[3, Infinity])/32 - 
     (155*S[5, Infinity])/32) - (323*S[2, Infinity]*S[5, Infinity])/112 + 
   (3873*S[7, Infinity])/224 - (57*S[-5, 1, 1, Infinity])/14 + 
   (13*S[5, -1, -1, Infinity])/14 + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[-1, Infinity]*((1391*S[2, Infinity]^3)/560 + 
     (1587*S[3, Infinity]^2)/448 - (121*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, 1, -1, -1, 1, Infinity] -> (7*S[-1, Infinity]^7)/720 - 
   (43*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (137*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (1171*S[2, Infinity]^2*S[3, Infinity])/320 + (37265*S[7, Infinity])/512 - 
   (11*S[-5, 1, 1, Infinity])/4 + (13*S[5, -1, -1, Infinity])/2 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/32 - 
     (1085*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-2543*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((327*S[2, Infinity]^3)/80 + (79*S[3, Infinity]^2)/16 - 
     5*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   35*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/126 - (17*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (163*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (4449*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (154353*S[7, Infinity])/3584 - (75*S[-5, 1, 1, Infinity])/28 + 
   (71*S[5, -1, -1, Infinity])/14 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((1937*S[2, Infinity]^3)/560 + (701*S[3, Infinity]^2)/
      224 - (75*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((35*S[2, Infinity]*S[3, Infinity])/32 - 
     (899*S[5, Infinity])/128 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-7755*S[5, Infinity])/896 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   23*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/560 + (S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (151*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((-29*S[2, Infinity]*S[3, Infinity])/32 - 
     (93*S[5, Infinity])/64) + (46947*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((-37*S[2, Infinity]^3)/32 - (55*S[3, Infinity]^2)/112 + 
     (11*S[-5, -1, Infinity])/28) + (11*S[-5, 1, 1, Infinity])/28 + 
   (53*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-2533*S[5, Infinity])/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/504 + (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (101*S[2, Infinity]^2*S[3, Infinity])/56 + 
   S[-1, Infinity]^2*((-25*S[2, Infinity]*S[3, Infinity])/16 - 
     (403*S[5, Infinity])/64) - (6859*S[2, Infinity]*S[5, Infinity])/448 + 
   (42227*S[7, Infinity])/1792 - (19*S[-5, 1, 1, Infinity])/14 + 
   (36*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-643*S[2, Infinity]^3)/280 + (1905*S[3, Infinity]^2)/
      896 + (8*S[-5, -1, Infinity])/7 - S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/630 - (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (47*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
   (529*S[2, Infinity]^2*S[3, Infinity])/2240 - (45419*S[7, Infinity])/3584 + 
   (19*S[-5, 1, 1, Infinity])/28 - (4*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((439*S[5, Infinity])/224 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((31*S[5, Infinity])/32 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, Infinity]*
    ((-969*S[2, Infinity]^3)/560 - (1621*S[3, Infinity]^2)/896 + 
     (103*S[-5, -1, Infinity])/28 - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/5040 - (7*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (83*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (283*S[2, Infinity]^2*S[3, Infinity])/224 - (281851*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((-2047*S[2, Infinity]^3)/1120 - 
     (485*S[3, Infinity]^2)/112 + (97*S[-5, -1, Infinity])/28) + 
   (97*S[-5, 1, 1, Infinity])/28 - (127*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/32 + 
     (961*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((5941*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]/
      2) - 20*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, -1, -1, 1, 1, Infinity] -> (-3*S[-1, Infinity]^7)/112 + 
   (73*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (2293*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (276919*S[7, Infinity])/3584 + (34*S[-5, 1, 1, Infinity])/7 - 
   (93*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-53*S[2, Infinity]^2)/24 + S[-1, 1, 1, 1, Infinity]/2) + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((19759*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/8 + (1147*S[5, Infinity])/128 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-157*S[2, Infinity]^3)/28 - (6357*S[3, Infinity]^2)/896 + 
     (241*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - 40*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, -1, -1, 1, -1, Infinity] -> (-11*S[-1, Infinity]^7)/420 + 
   (3*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (501*S[2, Infinity]^2*S[3, Infinity])/112 - (565965*S[7, Infinity])/7168 + 
   (39*S[-5, 1, 1, Infinity])/7 - (285*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-63*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]/
      2) + (33*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-141*S[2, Infinity]^3)/32 - (195*S[3, Infinity]^2)/28 + 
     (39*S[-5, -1, Infinity])/7 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((8607*S[5, Infinity])/448 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((33*S[2, Infinity]*S[3, Infinity])/32 + (837*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   36*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/60 + (3*S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (1063*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-81*S[2, Infinity]*S[3, Infinity])/32 + 
     (775*S[5, Infinity])/128) - (82857*S[7, Infinity])/7168 + 
   (75*S[-5, 1, 1, Infinity])/14 - (25*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-67*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
      2) - (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-3663*S[2, Infinity]^3)/1120 - 
     (375*S[3, Infinity]^2)/56 + (75*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-2675*S[5, Infinity])/448 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   21*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, -1, -1, -1, -1, Infinity] -> (-19*S[-1, Infinity]^7)/1008 + 
   (89*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (743*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (2097*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-39*S[2, Infinity]*S[3, Infinity])/8 + 
     (961*S[5, Infinity])/128) - (3119*S[7, Infinity])/112 + 
   (197*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-199*S[2, Infinity]^2)/120 + 
     S[-1, 1, 1, 1, Infinity]/2) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1501*S[2, Infinity]^3)/280 - (4751*S[3, Infinity]^2)/
      896 + (109*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   31*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/1680 + (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (283*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 + 
     (279*S[5, Infinity])/128) - (28107*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-43*S[2, Infinity]^3)/40 - (215*S[3, Infinity]^2)/112 + 
     (43*S[-5, -1, Infinity])/28) + (43*S[-5, 1, 1, Infinity])/28 - 
   (5*S[5, -1, -1, Infinity])/7 - 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((1943*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/2520 + (19*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (227*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (5233*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 + 
     (279*S[5, Infinity])/128) - (7599*S[7, Infinity])/7168 + 
   (2*S[-5, 1, 1, Infinity])/7 - (55*S[5, -1, -1, Infinity])/28 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((1601*S[2, Infinity]^3)/1120 - (663*S[3, Infinity]^2)/
      896 + (2*S[-5, -1, Infinity])/7 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 9*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, 1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^7/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (89*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (4461*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (181037*S[7, Infinity])/7168 + (5*S[-5, 1, 1, Infinity])/7 - 
   (183*S[5, -1, -1, Infinity])/28 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((15235*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((19*S[2, Infinity]*S[3, Infinity])/8 + 
     (1209*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((4129*S[2, Infinity]^3)/1120 - (2837*S[3, Infinity]^2)/
      896 + (3*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, 1, 1, -1, -1, Infinity] -> (-13*S[-1, Infinity]^7)/5040 - 
   (41*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (2789*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (155107*S[7, Infinity])/3584 + (23*S[-5, 1, 1, Infinity])/14 - 
   (75*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((109*S[2, Infinity]^3)/560 - (115*S[3, Infinity]^2)/56 + 
     (23*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((3833*S[5, Infinity])/224 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((73*S[2, Infinity]*S[3, Infinity])/32 + (589*S[5, Infinity])/64 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, 1, -1, 1, 1, Infinity] -> (-23*S[-1, Infinity]^7)/5040 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1139*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (140547*S[7, Infinity])/7168 + (51*S[-5, 1, 1, Infinity])/28 - 
   (61*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-31*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/6) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((1621*S[5, Infinity])/448 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/8 + (217*S[5, Infinity])/32 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-263*S[2, Infinity]^3)/224 - (997*S[3, Infinity]^2)/896 + 
     (29*S[-5, -1, Infinity])/14 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/252 + (S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (5*S[2, Infinity]^2*S[3, Infinity])/56 - (45419*S[7, Infinity])/3584 + 
   (19*S[-5, 1, 1, Infinity])/28 - (4*S[5, -1, -1, Infinity])/7 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-73*S[2, Infinity]^3)/112 - (95*S[3, Infinity]^2)/112 + 
     (19*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 + 
     (527*S[5, Infinity])/128 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((255*S[5, Infinity])/56 + (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, 1, -1, -1, 1, Infinity] -> S[-1, Infinity]^7/180 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (29*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1021*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/8 - 
     (93*S[5, Infinity])/32) + (20781*S[7, Infinity])/512 + 
   2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((-21*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/
      6) - (29*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/40 - (5*S[3, Infinity]^2)/2 + 
     2*S[-5, -1, Infinity] - 5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1649*S[5, Infinity])/128 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   7*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, -1, -1, -1, Infinity] -> 
  (17*S[-1, Infinity]^7)/5040 + (41*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (2929*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-145*S[2, Infinity]*S[3, Infinity])/32 - 
     (279*S[5, Infinity])/64) - (2025*S[2, Infinity]*S[5, Infinity])/112 + 
   (228657*S[7, Infinity])/7168 + (45*S[-5, 1, 1, Infinity])/28 + 
   (171*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-17*S[2, Infinity]^2)/24 - S[-1, 1, 1, 1, Infinity]/6) - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-3733*S[2, Infinity]^3)/1120 + 
     (825*S[3, Infinity]^2)/896 + (27*S[-5, -1, Infinity])/7 - 
     5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 3*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, -1, 1, 1, 1, Infinity] -> (7*S[-1, Infinity]^7)/360 - 
   (S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (1641*S[2, Infinity]^2*S[3, Infinity])/1120 + (20413*S[7, Infinity])/448 - 
   (15*S[-5, 1, 1, Infinity])/7 + (47*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((79*S[2, Infinity]^2)/60 - S[-1, 1, 1, 1, Infinity]/
      2) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/8 - 
     (217*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-12245*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((2057*S[2, Infinity]^3)/560 + 
     (1277*S[3, Infinity]^2)/448 - (65*S[-5, -1, Infinity])/14 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 21*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, -1, 1, 1, -1, Infinity] -> (101*S[-1, Infinity]^7)/5040 + 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (3811*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (205283*S[7, Infinity])/3584 - (22*S[-5, 1, 1, Infinity])/7 + 
   (55*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((37*S[2, Infinity]^2)/60 - S[-1, 1, 1, 1, Infinity]/2) - 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((641*S[2, Infinity]^3)/280 + (55*S[3, Infinity]^2)/14 - 
     (22*S[-5, -1, Infinity])/7 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((-43*S[2, Infinity]*S[3, Infinity])/16 - 
     (899*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*((-12357*S[5, Infinity])/896 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   25*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, 1, -1, 1, Infinity] -> 
  (89*S[-1, Infinity]^7)/5040 - (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (2627*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((45*S[2, Infinity]*S[3, Infinity])/32 - 
     (899*S[5, Infinity])/128) + (31831*S[7, Infinity])/3584 - 
   (155*S[-5, 1, 1, Infinity])/28 + (12*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((133*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      2) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((881*S[2, Infinity]^3)/560 + (3247*S[3, Infinity]^2)/
      448 - (155*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1517*S[5, Infinity])/448 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, -1, 1, -1, -1, Infinity] -> (13*S[-1, Infinity]^7)/840 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (3873*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (5661*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((117*S[2, Infinity]*S[3, Infinity])/32 + 
     (93*S[5, Infinity])/64) - (8601*S[7, Infinity])/448 - 
   (39*S[-5, 1, 1, Infinity])/14 - (30*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((143*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/
      2) + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((999*S[2, Infinity]^3)/280 + (297*S[3, Infinity]^2)/224 - 
     (81*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/315 - (53*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (151*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (193*S[2, Infinity]^2*S[3, Infinity])/35 + 
   S[-1, Infinity]^2*((63*S[2, Infinity]*S[3, Infinity])/16 - 
     (155*S[5, Infinity])/64) - (108251*S[7, Infinity])/3584 - 
   (46*S[-5, 1, 1, Infinity])/7 - (57*S[5, -1, -1, Infinity])/14 + 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((471*S[2, Infinity]^3)/280 + (2651*S[3, Infinity]^2)/
      448 - (46*S[-5, -1, Infinity])/7 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((10163*S[5, Infinity])/896 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, -1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/336 - 
   (29*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (61*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (223*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (2637*S[2, Infinity]*S[5, Infinity])/128 + 
   S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/4 + 
     (155*S[5, Infinity])/128) - (10619*S[7, Infinity])/512 - 
   (23*S[-5, 1, 1, Infinity])/4 - 7*S[5, -1, -1, Infinity] + 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((3517*S[2, Infinity]^3)/560 + (57*S[3, Infinity]^2)/16 - 
     (19*S[-5, -1, Infinity])/2 + (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   22*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, -1, -1, -1, 1, Infinity] -> (43*S[-1, Infinity]^7)/5040 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (331*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (215*S[2, Infinity]^2*S[3, Infinity])/64 + (5179*S[7, Infinity])/64 - 
   (25*S[-5, 1, 1, Infinity])/4 + 7*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^2*((39*S[2, Infinity]*S[3, Infinity])/32 - 
     (775*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-1389*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((1529*S[2, Infinity]^3)/280 + (455*S[3, Infinity]^2)/64 - 
     7*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   41*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -1, -1, -1, -1, -1, Infinity] -> (17*S[-1, Infinity]^7)/2520 - 
   (23*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (1387*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (156281*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((451*S[2, Infinity]^3)/140 + (1003*S[3, Infinity]^2)/224 - 
     (115*S[-5, -1, Infinity])/28) - (115*S[-5, 1, 1, Infinity])/28 + 
   (65*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((-5781*S[5, Infinity])/448 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((45*S[2, Infinity]*S[3, Infinity])/32 - 
     (31*S[5, Infinity])/4 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   29*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[3, 1, 1, 1, 1, Infinity] -> 
  (6*S[2, Infinity]^2*S[3, Infinity])/5 + S[2, Infinity]*S[5, Infinity] - 
   4*S[7, Infinity], S[3, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/630 + (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (73*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/128) - (37417*S[7, Infinity])/3584 - 
   (27*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((1425*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-7*S[2, Infinity]^3)/8 + 
     (65*S[3, Infinity]^2)/112 - (13*S[-5, -1, Infinity])/28 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^7/120 - 
   (17*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (29*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (185*S[2, Infinity]^2*S[3, Infinity])/112 + (180655*S[7, Infinity])/7168 - 
   (89*S[-5, 1, 1, Infinity])/28 + (65*S[5, -1, -1, Infinity])/28 - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 - 
     (155*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-3139*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((2053*S[2, Infinity]^3)/1120 + 
     (295*S[3, Infinity]^2)/224 - (27*S[-5, -1, Infinity])/14 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[3, 1, 1, -1, -1, Infinity] -> 
  (19*S[-1, Infinity]^7)/2520 - (5*S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (15*S[2, Infinity]^2*S[3, Infinity])/28 - (54069*S[7, Infinity])/7168 + 
   S[-5, 1, 1, Infinity]/14 - (33*S[5, -1, -1, Infinity])/28 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((747*S[2, Infinity]^3)/1120 - (5*S[3, Infinity]^2)/56 + 
     S[-5, -1, Infinity]/14 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((3599*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((53*S[2, Infinity]*S[3, Infinity])/32 + (217*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, 1, -1, 1, 1, Infinity] -> (-23*S[-1, Infinity]^7)/1260 + 
   (31*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (2173*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (23367*S[7, Infinity])/7168 - (23*S[-5, 1, 1, Infinity])/28 + 
   (47*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-113*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/8 - 
     (155*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-3851*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-2147*S[2, Infinity]^3)/1120 + (507*S[3, Infinity]^2)/896 + 
     (89*S[-5, -1, Infinity])/28 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, 1, -1, 1, -1, Infinity] -> (-2*S[-1, Infinity]^7)/105 + 
   (S[-1, Infinity]^5*S[2, Infinity])/24 - (S[-1, Infinity]^4*S[3, Infinity])/
    16 + (623*S[2, Infinity]^2*S[3, Infinity])/320 - 
   (2417*S[7, Infinity])/64 + (5*S[-5, 1, 1, Infinity])/2 - 
   (9*S[5, -1, -1, Infinity])/2 + S[-1, Infinity]^3*
    ((-91*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-103*S[2, Infinity]^3)/56 - (25*S[3, Infinity]^2)/8 + 
     (5*S[-5, -1, Infinity])/2 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1321*S[5, Infinity])/128 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((15*S[2, Infinity]*S[3, Infinity])/32 + (1023*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]) - 16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, 1, -1, -1, 1, Infinity] -> (-37*S[-1, Infinity]^7)/2520 + 
   (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (5977*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((41*S[2, Infinity]*S[3, Infinity])/32 - 
     (837*S[5, Infinity])/128) + (125921*S[7, Infinity])/7168 - 
   (61*S[-5, 1, 1, Infinity])/14 + (67*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((197*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/
      3) + (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((1847*S[2, Infinity]^3)/1120 + (305*S[3, Infinity]^2)/
      56 - (61*S[-5, -1, Infinity])/14 + S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-6893*S[5, Infinity])/896 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[3, 1, -1, -1, -1, Infinity] -> 
  (-41*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (461*S[2, Infinity]^2*S[3, Infinity])/448 + 
   S[-1, Infinity]^2*((17*S[2, Infinity]*S[3, Infinity])/16 - 
     (1085*S[5, Infinity])/128) + (13479*S[7, Infinity])/896 - 
   (141*S[-5, 1, 1, Infinity])/28 + (26*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((53*S[2, Infinity]^2)/60 + S[-1, 1, 1, 1, Infinity]/
      3) + 5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-11771*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-169*S[2, Infinity]^3)/140 + 
     (7285*S[3, Infinity]^2)/896 - (39*S[-5, -1, Infinity])/14 + 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, -1, 1, 1, 1, Infinity] -> (19*S[-1, Infinity]^7)/2520 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (401*S[2, Infinity]^2*S[3, Infinity])/448 - (29327*S[7, Infinity])/3584 + 
   (4*S[-5, 1, 1, Infinity])/7 - (41*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((59*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/
      3) + (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((135*S[5, Infinity])/28 - (5*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/32 + 
     (465*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((199*S[2, Infinity]^3)/140 - (1795*S[3, Infinity]^2)/
      896 + S[-5, -1, Infinity]/14 + S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[3, -1, 1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^7)/2520 + (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (31*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1817*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (89209*S[7, Infinity])/7168 + (93*S[-5, 1, 1, Infinity])/28 - 
   (19*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-43*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/3) - 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((27*S[2, Infinity]^3)/224 - (465*S[3, Infinity]^2)/112 + 
     (93*S[-5, -1, Infinity])/28 - 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-35*S[2, Infinity]*S[3, Infinity])/16 + 
     (31*S[5, Infinity])/4 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((4869*S[5, Infinity])/448 + 
     5*S[-1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, -1, 1, -1, 1, Infinity] -> S[-1, Infinity]^7/90 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (93*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((29*S[2, Infinity]*S[3, Infinity])/32 - 
     (217*S[5, Infinity])/32) + (124639*S[7, Infinity])/7168 - 
   (127*S[-5, 1, 1, Infinity])/28 + (69*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((209*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((1823*S[2, Infinity]^3)/1120 + (1319*S[3, Infinity]^2)/
      224 - (127*S[-5, -1, Infinity])/28 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-253*S[5, Infinity])/224 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + 14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^7/105 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (97*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/16) - (151*S[7, Infinity])/256 - 
   3*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((157*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      3) + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((335*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((1289*S[2, Infinity]^3)/560 + 
     (281*S[3, Infinity]^2)/128 - (17*S[-5, -1, Infinity])/4 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, -1, -1, 1, 1, Infinity] -> S[-1, Infinity]^7/840 + 
   (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (49*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (31*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (393*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/16 + 
     (1023*S[5, Infinity])/128) - (21485*S[7, Infinity])/512 + 
   S[-1, Infinity]*((-1179*S[2, Infinity]^3)/560 - (199*S[3, Infinity]^2)/
      32 + (15*S[-5, -1, Infinity])/4) + (15*S[-5, 1, 1, Infinity])/4 - 
   (9*S[5, -1, -1, Infinity])/2 - 6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((1667*S[5, Infinity])/128 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, -1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/2520 + 
   (19*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (29*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
   (31*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (433*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-29*S[2, Infinity]*S[3, Infinity])/16 + 
     (527*S[5, Infinity])/32) - (6995*S[7, Infinity])/112 + 
   (93*S[-5, 1, 1, Infinity])/14 - (145*S[5, -1, -1, Infinity])/14 - 
   6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((15597*S[5, Infinity])/448 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((37*S[2, Infinity]^3)/40 - (577*S[3, Infinity]^2)/56 + 
     (37*S[-5, -1, Infinity])/14 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[3, -1, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/105 - (7*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (131*S[2, Infinity]^2*S[3, Infinity])/560 - (27465*S[7, Infinity])/1792 + 
   (15*S[-5, 1, 1, Infinity])/7 - (41*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^2*((19*S[2, Infinity]*S[3, Infinity])/16 + 
     (1271*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((6945*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((983*S[2, Infinity]^3)/280 - 
     (213*S[3, Infinity]^2)/56 - (3*S[-5, -1, Infinity])/28 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[3, -1, -1, -1, -1, Infinity] -> (11*S[-1, Infinity]^7)/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (571*S[2, Infinity]^2*S[3, Infinity])/280 - (116903*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((181*S[2, Infinity]^3)/112 - (247*S[3, Infinity]^2)/56 + 
     (89*S[-5, -1, Infinity])/28) + (89*S[-5, 1, 1, Infinity])/28 - 
   (32*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^2*
    ((31*S[2, Infinity]*S[3, Infinity])/16 + (155*S[5, Infinity])/16 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7549*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]) - 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 2, 1, 1, 1, Infinity] -> 
  (-12*S[2, Infinity]^2*S[3, Infinity])/5 + 10*S[7, Infinity], 
 S[2, 2, 1, 1, -1, Infinity] -> S[-1, Infinity]^7/420 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (143*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (59*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((23*S[2, Infinity]*S[3, Infinity])/16 + 
     (93*S[5, Infinity])/64) + (81113*S[7, Infinity])/3584 + 
   (17*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((1487*S[5, Infinity])/448 + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((419*S[2, Infinity]^3)/80 - (295*S[3, Infinity]^2)/224 + 
     (5*S[-5, -1, Infinity])/28 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 2, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/105 + (49*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (26*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (627*S[2, Infinity]^2*S[3, Infinity])/2240 - (17765*S[7, Infinity])/7168 + 
   (45*S[-5, 1, 1, Infinity])/7 + (33*S[5, -1, -1, Infinity])/28 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-45*S[2, Infinity]*S[3, Infinity])/16 + 
     (93*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((117*S[5, Infinity])/224 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-299*S[2, Infinity]^3)/160 - (3455*S[3, Infinity]^2)/896 + 
     (83*S[-5, -1, Infinity])/14 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 2, 1, -1, -1, Infinity] -> -S[-1, Infinity]^7/84 + 
   (19*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (569*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (3001*S[2, Infinity]^2*S[3, Infinity])/2240 - (2131*S[7, Infinity])/112 + 
   (26*S[-5, 1, 1, Infinity])/7 - (25*S[5, -1, -1, Infinity])/14 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-41*S[2, Infinity]^3)/8 - (65*S[3, Infinity]^2)/14 + 
     (26*S[-5, -1, Infinity])/7 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((-153*S[2, Infinity]*S[3, Infinity])/32 + 
     (403*S[5, Infinity])/128 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2901*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) - 24*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 2, -1, 1, 1, Infinity] -> (19*S[-1, Infinity]^7)/1260 - 
   (5*S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (241*S[2, Infinity]^2*S[3, Infinity])/320 + (8037*S[7, Infinity])/256 - 
   S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((103*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-1653*S[5, Infinity])/64 - 
     11*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-53*S[2, Infinity]*S[3, Infinity])/32 - (403*S[5, Infinity])/64 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-937*S[2, Infinity]^3)/280 + (343*S[3, Infinity]^2)/128 + 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 2, -1, 1, -1, Infinity] -> (4*S[-1, Infinity]^7)/315 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (6961*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (122249*S[7, Infinity])/7168 + (3*S[-5, 1, 1, Infinity])/7 + 
   (89*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-5*S[2, Infinity]^2)/6 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-4601*S[2, Infinity]^3)/1120 - 
     (15*S[3, Infinity]^2)/28 + (3*S[-5, -1, Infinity])/7 - 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-8877*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-39*S[2, Infinity]*S[3, Infinity])/8 - (403*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 2, -1, -1, 1, Infinity] -> (31*S[-1, Infinity]^7)/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (729*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/16 - 
     (403*S[5, Infinity])/64) - (6577*S[2, Infinity]*S[5, Infinity])/448 + 
   (152233*S[7, Infinity])/3584 - (11*S[-5, 1, 1, Infinity])/7 + 
   (69*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((73*S[2, Infinity]^2)/80 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/70 + (55*S[3, Infinity]^2)/28 - 
     (11*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + 16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 2, -1, -1, -1, Infinity] -> (17*S[-1, Infinity]^7)/630 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (297*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/8 - 
     (31*S[5, Infinity])/2) + (4323*S[7, Infinity])/64 - 
   8*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((113*S[2, Infinity]^2)/60 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-567*S[5, Infinity])/16 - 
     12*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-83*S[2, Infinity]^3)/560 + (513*S[3, Infinity]^2)/64 - 
     (19*S[-5, -1, Infinity])/4 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 2, 1, 1, Infinity] -> 
  3*S[7, Infinity], S[2, 1, 2, 1, -1, Infinity] -> 
  (-9*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (1773*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 - 
     (465*S[5, Infinity])/128) + (167991*S[7, Infinity])/7168 + 
   (9*S[-5, 1, 1, Infinity])/14 + (123*S[5, -1, -1, Infinity])/28 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-411*S[2, Infinity]^3)/160 - (1637*S[3, Infinity]^2)/
      896 + (123*S[-5, -1, Infinity])/28 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-19731*S[5, Infinity])/896 - 
     9*S[-1, 1, 1, 1, 1, Infinity]), S[2, 1, 2, -1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (43*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (829*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (2003*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((31*S[2, Infinity]*S[3, Infinity])/16 + 
     (651*S[5, Infinity])/128) + (24021*S[7, Infinity])/3584 + 
   (17*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 - 
   (43*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((1217*S[2, Infinity]^3)/560 - (3497*S[3, Infinity]^2)/
      896 + (47*S[-5, -1, Infinity])/28 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[2, 1, 2, -1, -1, Infinity] -> (-3*S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (83*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 + 
   (191*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (317*S[2, Infinity]*S[5, Infinity])/224 + (2283*S[7, Infinity])/7168 - 
   (29*S[-5, 1, 1, Infinity])/14 + (47*S[5, -1, -1, Infinity])/28 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((937*S[2, Infinity]^3)/1120 + (145*S[3, Infinity]^2)/56 - 
     (29*S[-5, -1, Infinity])/14 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[2, 1, 1, 2, 1, Infinity] -> (12*S[2, Infinity]^2*S[3, Infinity])/5 - 
   4*S[7, Infinity], S[2, 1, 1, 2, -1, Infinity] -> 
  (11*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (107*S[2, Infinity]^2*S[3, Infinity])/28 + 
   (155*S[-1, Infinity]^2*S[5, Infinity])/32 - (55997*S[7, Infinity])/1792 - 
   (6*S[-5, 1, 1, Infinity])/7 - (41*S[5, -1, -1, Infinity])/7 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((1087*S[2, Infinity]^3)/280 + (557*S[3, Infinity]^2)/
      448 - (47*S[-5, -1, Infinity])/14 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((5233*S[5, Infinity])/224 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[2, 1, 1, 1, 2, Infinity] -> 
  (-6*S[2, Infinity]^2*S[3, Infinity])/5 - S[2, Infinity]*S[5, Infinity] + 
   10*S[7, Infinity], S[2, 1, 1, 1, -2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 - 
   (11*S[2, Infinity]^2*S[3, Infinity])/10 + (3295*S[7, Infinity])/1024 + 
   (5*S[-5, 1, 1, Infinity])/4 + (5*S[5, -1, -1, Infinity])/4 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/32 - (151*S[3, Infinity]^2)/128 + 
     (5*S[-5, -1, Infinity])/4 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-299*S[5, Infinity])/64 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[2, 1, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^7/210 + (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (5841*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 + 
     (527*S[5, Infinity])/128) - (432559*S[7, Infinity])/7168 - 
   (13*S[-5, 1, 1, Infinity])/14 - (145*S[5, -1, -1, Infinity])/28 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((7211*S[5, Infinity])/896 - 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-6151*S[2, Infinity]^3)/1120 + (963*S[3, Infinity]^2)/896 + 
     (9*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, 1, -1, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (473*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((35*S[2, Infinity]*S[3, Infinity])/32 + 
     (31*S[5, Infinity])/128) - (38967*S[7, Infinity])/7168 - 
   (8*S[-5, 1, 1, Infinity])/7 - (39*S[5, -1, -1, Infinity])/28 + 
   (35*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((1657*S[2, Infinity]^3)/1120 + (10*S[3, Infinity]^2)/7 - 
     (8*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3645*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[2, 1, 1, -2, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (33*S[2, Infinity]^2*S[3, Infinity])/56 - (19923*S[7, Infinity])/7168 + 
   (65*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/28 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*(S[2, Infinity]^3/32 - (731*S[3, Infinity]^2)/896 - 
     (5*S[-5, -1, Infinity])/28 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((1439*S[5, Infinity])/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[2, 1, 1, -2, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (6233*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-63*S[2, Infinity]*S[3, Infinity])/32 - 
     (155*S[5, Infinity])/32) - (1079*S[2, Infinity]*S[5, Infinity])/112 + 
   (68219*S[7, Infinity])/3584 - S[-5, 1, 1, Infinity]/14 + 
   (17*S[5, -1, -1, Infinity])/7 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-919*S[2, Infinity]^3)/280 + (5*S[3, Infinity]^2)/56 - 
     S[-5, -1, Infinity]/14 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[2, 1, -1, 2, 1, Infinity] -> S[-1, Infinity]^7/105 - 
   (49*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (23*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (37*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (12681*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (489135*S[7, Infinity])/3584 + (31*S[-5, 1, 1, Infinity])/7 - 
   (239*S[5, -1, -1, Infinity])/14 + 
   (37*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((47*S[2, Infinity]*S[3, Infinity])/16 + 
     (2511*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((22417*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((227*S[2, Infinity]^3)/280 - (4631*S[3, Infinity]^2)/896 - 
     (177*S[-5, -1, Infinity])/28 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -1, 2, -1, Infinity] -> 
  S[-1, Infinity]^7/42 - (23*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (643*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (79*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (8473*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (180197*S[7, Infinity])/3584 - (80*S[-5, 1, 1, Infinity])/7 + 
   (57*S[5, -1, -1, Infinity])/14 + 
   (79*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((513*S[2, Infinity]^3)/80 + (3151*S[3, Infinity]^2)/224 - 
     (80*S[-5, -1, Infinity])/7 + (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((241*S[2, Infinity]*S[3, Infinity])/32 - 
     (2077*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-12235*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + 48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, -1, 1, 2, Infinity] -> S[-1, Infinity]^7/105 + 
   (S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (43*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
   (17*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (129*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/8 - 
     (1209*S[5, Infinity])/64) + (52233*S[7, Infinity])/512 - 
   10*S[-5, 1, 1, Infinity] + (19*S[5, -1, -1, Infinity])/2 + 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-387*S[5, Infinity])/16 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((3607*S[2, Infinity]^3)/560 + (719*S[3, Infinity]^2)/64 - 
     (15*S[-5, -1, Infinity])/2 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -1, 1, -2, Infinity] -> 
  (11*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (71*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (9879*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-41*S[2, Infinity]*S[3, Infinity])/16 + 
     (93*S[5, Infinity])/64) + (66533*S[7, Infinity])/3584 + 
   (53*S[-5, 1, 1, Infinity])/14 + (16*S[5, -1, -1, Infinity])/7 - 
   (71*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-73*S[2, Infinity]^3)/140 - (2071*S[3, Infinity]^2)/
      448 + (53*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-131*S[5, Infinity])/56 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, 1, -1, -1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (25*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (S[-1, Infinity]^4*S[3, Infinity])/4 - 
   (2617*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-19*S[2, Infinity]*S[3, Infinity])/16 + 
     (589*S[5, Infinity])/128) - (7789*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((-1031*S[2, Infinity]^3)/1120 - 
     (163*S[3, Infinity]^2)/28 + (75*S[-5, -1, Infinity])/14) + 
   (75*S[-5, 1, 1, Infinity])/14 + (17*S[5, -1, -1, Infinity])/28 - 
   6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-1059*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, 1, -1, -1, -2, Infinity] -> 
  S[-1, Infinity]^7/70 + (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (41*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (14323*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/32 - 
     (4247*S[5, Infinity])/128) + (620479*S[7, Infinity])/3584 - 
   (465*S[-5, 1, 1, Infinity])/28 + (247*S[5, -1, -1, Infinity])/14 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-4653*S[5, Infinity])/112 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((1021*S[2, Infinity]^3)/112 + (211*S[3, Infinity]^2)/14 - 
     (159*S[-5, -1, Infinity])/14 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -1, -2, 1, Infinity] -> 
  (7*S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (16271*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (5807*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((-97*S[2, Infinity]*S[3, Infinity])/32 + 
     (93*S[5, Infinity])/64) + (120229*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-13*S[2, Infinity]^3)/7 - (3075*S[3, Infinity]^2)/448 + 
     (83*S[-5, -1, Infinity])/14) + (83*S[-5, 1, 1, Infinity])/14 + 
   (31*S[5, -1, -1, Infinity])/7 - 14*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity], S[2, 1, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^7/70 + (S[-1, Infinity]^5*S[2, Infinity])/5 - 
   (171*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (35*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (313*S[2, Infinity]^2*S[3, Infinity])/70 + 
   S[-1, Infinity]^2*((-97*S[2, Infinity]*S[3, Infinity])/32 + 
     (3379*S[5, Infinity])/64) - (1546925*S[7, Infinity])/7168 + 
   (767*S[-5, 1, 1, Infinity])/28 - (759*S[5, -1, -1, Infinity])/28 - 
   (35*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((41077*S[5, Infinity])/448 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-853*S[2, Infinity]^3)/1120 - (12281*S[3, Infinity]^2)/448 + 
     (149*S[-5, -1, Infinity])/14 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, 1, -2, 1, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 + 
   (611*S[2, Infinity]^2*S[3, Infinity])/448 - (52287*S[7, Infinity])/3584 - 
   (33*S[-5, 1, 1, Infinity])/28 - (27*S[5, -1, -1, Infinity])/14 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((27*S[2, Infinity]^3)/80 + (443*S[3, Infinity]^2)/448 - 
     (27*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((3399*S[5, Infinity])/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[2, 1, -2, 1, -1, Infinity] -> 
  (-1803*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 - 
     (651*S[5, Infinity])/128) - (7545*S[2, Infinity]*S[5, Infinity])/896 + 
   (49269*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((-927*S[2, Infinity]^3)/560 + (135*S[3, Infinity]^2)/56 - 
     (27*S[-5, -1, Infinity])/14) - (27*S[-5, 1, 1, Infinity])/14 + 
   (18*S[5, -1, -1, Infinity])/7, S[2, 1, -2, -1, 1, Infinity] -> 
  -(S[-1, Infinity]^4*S[3, Infinity])/3 + 
   (10349*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (13735*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((85*S[2, Infinity]*S[3, Infinity])/32 + 
     (465*S[5, Infinity])/128) - (201867*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((353*S[2, Infinity]^3)/224 + (25*S[3, Infinity]^2)/14 - 
     (10*S[-5, -1, Infinity])/7) - (10*S[-5, 1, 1, Infinity])/7 - 
   (145*S[5, -1, -1, Infinity])/28 + 8*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity], S[2, 1, -2, -1, -1, Infinity] -> 
  (3*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^4*S[3, Infinity])/3 + 
   (43*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 + 
   (251*S[2, Infinity]^2*S[3, Infinity])/56 - (249357*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((-181*S[2, Infinity]^3)/1120 + (1441*S[3, Infinity]^2)/
      448 - (25*S[-5, -1, Infinity])/14) - (155*S[-5, 1, 1, Infinity])/28 - 
   (155*S[5, -1, -1, Infinity])/28 + 8*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((2603*S[5, Infinity])/224 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2), S[2, -1, 2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/63 + (13*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (19*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (943*S[2, Infinity]^2*S[3, Infinity])/560 - (207205*S[7, Infinity])/7168 + 
   (103*S[-5, 1, 1, Infinity])/14 - (11*S[5, -1, -1, Infinity])/28 - 
   (57*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((-23*S[2, Infinity]^2)/24 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]^2*
    ((-99*S[2, Infinity]*S[3, Infinity])/32 - (155*S[5, Infinity])/64 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((11849*S[5, Infinity])/896 + 14*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-883*S[2, Infinity]^3)/1120 - (1579*S[3, Infinity]^2)/
      448 - (23*S[-5, -1, Infinity])/14 - 
     (17*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/630 + (7*S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (11323*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (509995*S[7, Infinity])/3584 - (73*S[-5, 1, 1, Infinity])/7 + 
   (211*S[5, -1, -1, Infinity])/14 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((-127*S[2, Infinity]^2)/240 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]*
    ((561*S[2, Infinity]^3)/560 + (365*S[3, Infinity]^2)/28 - 
     (73*S[-5, -1, Infinity])/7 - 7*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-49279*S[5, Infinity])/896 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-119*S[2, Infinity]*S[3, Infinity])/32 - 
     (4433*S[5, Infinity])/128 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 2, -1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^7)/630 + (17*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (8081*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (25915*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-43*S[2, Infinity]*S[3, Infinity])/16 + 
     (1953*S[5, Infinity])/128) - (530461*S[7, Infinity])/7168 + 
   (85*S[-5, 1, 1, Infinity])/14 - (271*S[5, -1, -1, Infinity])/28 + 
   5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^3*((-191*S[2, Infinity]^2)/80 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]*
    ((-2971*S[2, Infinity]^3)/1120 - (425*S[3, Infinity]^2)/56 + 
     (85*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) - 32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -1, 2, -1, -1, Infinity] -> (-4*S[-1, Infinity]^7)/63 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (327*S[2, Infinity]^2*S[3, Infinity])/35 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity]) + 
     (527*S[5, Infinity])/8) - (135487*S[7, Infinity])/448 + 
   (212*S[-5, 1, 1, Infinity])/7 - (264*S[5, -1, -1, Infinity])/7 - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^3*((-151*S[2, Infinity]^2)/40 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[2, Infinity]*
    ((30437*S[5, Infinity])/224 + 24*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-15*S[2, Infinity]^3)/28 - (3631*S[3, Infinity]^2)/112 + 
     (221*S[-5, -1, Infinity])/14 - 8*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^7/105 - (23*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (257*S[2, Infinity]^2*S[3, Infinity])/448 + (180197*S[7, Infinity])/3584 - 
   (80*S[-5, 1, 1, Infinity])/7 + (57*S[5, -1, -1, Infinity])/14 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-6359*S[5, Infinity])/448 - 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((45*S[2, Infinity]*S[3, Infinity])/16 - (1767*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((179*S[2, Infinity]^3)/112 + (6521*S[3, Infinity]^2)/896 - 
     (103*S[-5, -1, Infinity])/28 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^7/42 - (11*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (167*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (16741*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (489135*S[7, Infinity])/3584 + (31*S[-5, 1, 1, Infinity])/7 - 
   (239*S[5, -1, -1, Infinity])/14 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-61*S[2, Infinity]^3)/80 - (1387*S[3, Infinity]^2)/224 + 
     (31*S[-5, -1, Infinity])/7 + 9*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((279*S[2, Infinity]*S[3, Infinity])/32 + (2821*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((46619*S[5, Infinity])/896 + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^7/210 + (3*S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (419*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/32 + 
     (651*S[5, Infinity])/128) - (38103*S[7, Infinity])/1024 + 
   4*S[-5, 1, 1, Infinity] - (5*S[5, -1, -1, Infinity])/4 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((797*S[5, Infinity])/128 + 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-3849*S[2, Infinity]^3)/1120 - (315*S[3, Infinity]^2)/128 + 
     (21*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, 1, 1, -2, Infinity] -> 
  (13*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (33*S[2, Infinity]^2*S[3, Infinity])/20 + S[-1, Infinity]^2*
    ((-19*S[2, Infinity]*S[3, Infinity])/8 - (217*S[5, Infinity])/128) + 
   (11369*S[7, Infinity])/512 + (3*S[-5, 1, 1, Infinity])/4 + 
   (5*S[5, -1, -1, Infinity])/2 + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-99*S[2, Infinity]^3)/80 - (39*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-1571*S[5, Infinity])/128 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, 1, -1, 2, Infinity] -> 
  (-11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (197*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*(2*S[2, Infinity]*S[3, Infinity] + 
     (93*S[5, Infinity])/64) + (67731*S[7, Infinity])/3584 + 
   (22*S[-5, 1, 1, Infinity])/7 + (23*S[5, -1, -1, Infinity])/14 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((123*S[2, Infinity]^3)/280 - (73*S[3, Infinity]^2)/56 + 
     (22*S[-5, -1, Infinity])/7 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-311*S[5, Infinity])/28 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, 1, -1, -2, Infinity] -> 
  (-31*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (179*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*(2*S[2, Infinity]*S[3, Infinity] - 
     (93*S[5, Infinity])/64) - (7167*S[7, Infinity])/448 - 
   (37*S[-5, 1, 1, Infinity])/14 - (8*S[5, -1, -1, Infinity])/7 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((237*S[2, Infinity]^3)/560 + (2225*S[3, Infinity]^2)/
      896 - (37*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((1277*S[5, Infinity])/224 + 
     S[-1, 1, 1, 1, 1, Infinity]/2), S[2, -1, 1, -2, 1, Infinity] -> 
  (-7053*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/32 - 
     (93*S[5, Infinity])/64) - (2525*S[2, Infinity]*S[5, Infinity])/224 + 
   (224111*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((337*S[2, Infinity]^3)/1120 - (565*S[3, Infinity]^2)/448 + 
     (65*S[-5, -1, Infinity])/28) + (65*S[-5, 1, 1, Infinity])/28 + 
   (107*S[5, -1, -1, Infinity])/28, S[2, -1, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^7/70 - (S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (81*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (349*S[2, Infinity]^2*S[3, Infinity])/35 + 
   S[-1, Infinity]^2*((-141*S[2, Infinity]*S[3, Infinity])/32 - 
     (3379*S[5, Infinity])/64) + (119155*S[7, Infinity])/448 - 
   (275*S[-5, 1, 1, Infinity])/14 + (244*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((-102867*S[5, Infinity])/896 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-69*S[2, Infinity]^3)/560 + (9425*S[3, Infinity]^2)/448 - 
     (165*S[-5, -1, Infinity])/28 - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, 2, 1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (49*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (1171*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((55*S[2, Infinity]*S[3, Infinity])/16 - 
     (93*S[5, Infinity])/32) + (1201*S[2, Infinity]*S[5, Infinity])/224 - 
   (20437*S[7, Infinity])/1792 - (34*S[-5, 1, 1, Infinity])/7 - 
   (13*S[5, -1, -1, Infinity])/7 + 
   (49*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((1373*S[2, Infinity]^3)/560 + (85*S[3, Infinity]^2)/14 - 
     (34*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2), S[2, -1, -1, 2, -1, Infinity] -> S[-1, Infinity]^7/35 - 
   (43*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (27*S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (19577*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 - 
     (217*S[5, Infinity])/2) + (109265*S[7, Infinity])/224 - 
   (340*S[-5, 1, 1, Infinity])/7 + (444*S[5, -1, -1, Infinity])/7 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-22541*S[5, Infinity])/112 - 
     12*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((2407*S[2, Infinity]^3)/560 + (1427*S[3, Infinity]^2)/28 - 
     (158*S[-5, -1, Infinity])/7 + 
     (21*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   192*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, 1, 2, Infinity] -> 
  (-9*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (17*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (7767*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/8 - 
     (1271*S[5, Infinity])/128) + (325709*S[7, Infinity])/7168 - 
   (31*S[-5, 1, 1, Infinity])/7 + (163*S[5, -1, -1, Infinity])/28 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((463*S[2, Infinity]^3)/1120 + (155*S[3, Infinity]^2)/28 - 
     (31*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-15203*S[5, Infinity])/896 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, -1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^7/70 + (3*S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (17*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (3939*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/8 + 
     (4681*S[5, Infinity])/128) - (1314973*S[7, Infinity])/7168 + 
   (134*S[-5, 1, 1, Infinity])/7 - (521*S[5, -1, -1, Infinity])/28 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((22289*S[5, Infinity])/448 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-253*S[2, Infinity]^3)/32 - (1945*S[3, Infinity]^2)/112 + 
     (389*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, -1, 2, Infinity] -> 
  (-2*S[-1, Infinity]^7)/105 + (47*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (317*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (1763*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (8899*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/4 + 
     (775*S[5, Infinity])/16) - (56193*S[7, Infinity])/224 + 
   (162*S[-5, 1, 1, Infinity])/7 - (188*S[5, -1, -1, Infinity])/7 - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-5381*S[2, Infinity]^3)/560 - (1403*S[3, Infinity]^2)/
      56 + (106*S[-5, -1, Infinity])/7 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     32*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, -1, -2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/8 + S[-1, Infinity]^3*
    S[2, Infinity]^2 - (13*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (11*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/32 - 
     (155*S[5, Infinity])/16) - (6651*S[2, Infinity]*S[5, Infinity])/448 + 
   (185257*S[7, Infinity])/7168 - (151*S[-5, 1, 1, Infinity])/28 + 
   (129*S[5, -1, -1, Infinity])/28 + 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-443*S[2, Infinity]^3)/1120 + (755*S[3, Infinity]^2)/
      112 - (151*S[-5, -1, Infinity])/28 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[2, -1, -1, -2, 1, Infinity] -> 
  (-2*S[-1, Infinity]^7)/105 + (77*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (37*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (4239*S[2, Infinity]^2*S[3, Infinity])/448 + (28233*S[7, Infinity])/112 - 
   (247*S[-5, 1, 1, Infinity])/14 + (230*S[5, -1, -1, Infinity])/7 - 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-89245*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]^2*((-29*S[2, Infinity]*S[3, Infinity])/8 - 
     (2883*S[5, Infinity])/64 + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-313*S[2, Infinity]^3)/112 + (14111*S[3, Infinity]^2)/
      896 + (117*S[-5, -1, Infinity])/14 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^7/21 + (51*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (86*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1213*S[2, Infinity]^2*S[3, Infinity])/224 - (1506479*S[7, Infinity])/
    7168 + (655*S[-5, 1, 1, Infinity])/28 - (759*S[5, -1, -1, Infinity])/28 - 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-9621*S[2, Infinity]^3)/1120 - 
     (3275*S[3, Infinity]^2)/112 + (655*S[-5, -1, Infinity])/28 - 
     (21*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-179*S[2, Infinity]*S[3, Infinity])/32 + 
     (3379*S[5, Infinity])/64 + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((9529*S[5, Infinity])/112 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) - 96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -1, -2, 1, 1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (25*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (289*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (2679*S[2, Infinity]*S[5, Infinity])/448 - (6765*S[7, Infinity])/7168 - 
   (57*S[-5, 1, 1, Infinity])/28 - (57*S[5, -1, -1, Infinity])/28 + 
   (25*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((2229*S[2, Infinity]^3)/1120 + (285*S[3, Infinity]^2)/
      112 - (57*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[2, -1, -2, 1, -1, Infinity] -> -S[-1, Infinity]^7/70 - 
   (9*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (61*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (815*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^2*((71*S[2, Infinity]*S[3, Infinity])/32 + 
     (5487*S[5, Infinity])/128) - (1452345*S[7, Infinity])/7168 + 
   (293*S[-5, 1, 1, Infinity])/14 - (653*S[5, -1, -1, Infinity])/28 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((58463*S[5, Infinity])/896 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-3769*S[2, Infinity]^3)/1120 - (18883*S[3, Infinity]^2)/896 + 
     (73*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -1, -2, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/30 - (77*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (583*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (503*S[2, Infinity]^2*S[3, Infinity])/280 + (4335*S[7, Infinity])/112 - 
   (9*S[-5, 1, 1, Infinity])/14 + (62*S[5, -1, -1, Infinity])/7 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-16255*S[5, Infinity])/448 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((-75*S[2, Infinity]*S[3, Infinity])/32 - (2635*S[5, Infinity])/128 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-97*S[2, Infinity]^3)/40 + (8175*S[3, Infinity]^2)/896 - 
     (191*S[-5, -1, Infinity])/14 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -2, -1, -1, Infinity] -> S[-1, Infinity]^7/21 - 
   (S[-1, Infinity]^5*S[2, Infinity])/5 + 
   (373*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (5053*S[2, Infinity]^2*S[3, Infinity])/560 + (865281*S[7, Infinity])/
    3584 + S[-1, Infinity]*((1759*S[2, Infinity]^3)/560 + 
     (2985*S[3, Infinity]^2)/112 - (597*S[-5, -1, Infinity])/28) - 
   (597*S[-5, 1, 1, Infinity])/28 + (206*S[5, -1, -1, Infinity])/7 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-22269*S[5, Infinity])/224 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/8 - (3875*S[5, Infinity])/64 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + 96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -2, 1, 1, 1, Infinity] -> S[-1, Infinity]^7/63 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (21*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (197*S[2, Infinity]^2*S[3, Infinity])/64 - (9279*S[7, Infinity])/512 - 
   (7*S[-5, 1, 1, Infinity])/2 - (5*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/12 - (2*S[-1, 1, 1, 1, Infinity])/
      3) + (35*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((325*S[5, Infinity])/64 - (7*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/8 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((7*S[2, Infinity]^3)/16 + (25*S[3, Infinity]^2)/8 - 
     (5*S[-5, -1, Infinity])/2 + (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -2, 1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^7)/1260 - (17*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (29*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1227*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (45407*S[7, Infinity])/1792 - (9*S[-5, 1, 1, Infinity])/28 - 
   (18*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((137*S[2, Infinity]^2)/240 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-353*S[2, Infinity]^3)/560 + (45*S[3, Infinity]^2)/112 - 
     (9*S[-5, -1, Infinity])/28 + (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((43*S[2, Infinity]*S[3, Infinity])/16 + 
     (403*S[5, Infinity])/128 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((7699*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -2, 1, -1, 1, Infinity] -> (8*S[-1, Infinity]^7)/315 - 
   (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (6023*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-43*S[2, Infinity]*S[3, Infinity])/32 - 
     (93*S[5, Infinity])/32) - (5447*S[2, Infinity]*S[5, Infinity])/448 + 
   (292609*S[7, Infinity])/7168 + (31*S[-5, 1, 1, Infinity])/28 + 
   (115*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((53*S[2, Infinity]^2)/120 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-137*S[2, Infinity]^3)/1120 - (51*S[3, Infinity]^2)/28 + 
     (31*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -2, 1, -1, -1, Infinity] -> S[-1, Infinity]^7/36 - 
   (3*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (607*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/8 - 
     (775*S[5, Infinity])/64) + (221257*S[7, Infinity])/3584 - 
   (36*S[-5, 1, 1, Infinity])/7 + (103*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((93*S[2, Infinity]^2)/80 - (2*S[-1, 1, 1, 1, Infinity])/
      3) + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-29311*S[5, Infinity])/896 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-29*S[2, Infinity]^3)/112 + (5207*S[3, Infinity]^2)/896 - 
     (53*S[-5, -1, Infinity])/28 + 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -2, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/1260 - (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (113*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (12619*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (12359*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-19*S[2, Infinity]*S[3, Infinity])/8 + 
     (217*S[5, Infinity])/128) + (30643*S[7, Infinity])/896 + 
   S[-1, Infinity]*((-45*S[2, Infinity]^3)/28 - (281*S[3, Infinity]^2)/56 + 
     (181*S[-5, -1, Infinity])/28) + (181*S[-5, 1, 1, Infinity])/28 + 
   (33*S[5, -1, -1, Infinity])/7 - 6*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, -2, -1, 1, -1, Infinity] -> S[-1, Infinity]^7/315 + 
   (31*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (233*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-51*S[2, Infinity]*S[3, Infinity])/32 + 
     (403*S[5, Infinity])/128) + (141713*S[7, Infinity])/7168 + 
   (29*S[-5, 1, 1, Infinity])/7 + (25*S[5, -1, -1, Infinity])/28 - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((7023*S[5, Infinity])/896 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((4997*S[2, Infinity]^3)/1120 - (2757*S[3, Infinity]^2)/896 + 
     (53*S[-5, -1, Infinity])/28 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -2, -1, -1, 1, Infinity] -> 
  (-11*S[-1, Infinity]^7)/1260 + (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (319*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (2217*S[2, Infinity]^2*S[3, Infinity])/560 - (274485*S[7, Infinity])/
    3584 + (8*S[-5, 1, 1, Infinity])/7 - (159*S[5, -1, -1, Infinity])/14 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*(2*S[2, Infinity]*S[3, Infinity] + 
     (1953*S[5, Infinity])/128 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((22583*S[5, Infinity])/448 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((1263*S[2, Infinity]^3)/280 - (2271*S[3, Infinity]^2)/448 + 
     (9*S[-5, -1, Infinity])/14 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[2, -2, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/90 - (13*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
   (S[-1, Infinity]^4*S[3, Infinity])/4 + 
   (2389*S[2, Infinity]^2*S[3, Infinity])/560 - (8405*S[7, Infinity])/112 + 
   (115*S[-5, 1, 1, Infinity])/28 - (121*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((73*S[2, Infinity]^3)/280 - (477*S[3, Infinity]^2)/112 + 
     (115*S[-5, -1, Infinity])/28 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((37*S[2, Infinity]*S[3, Infinity])/8 + (31*S[5, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((12963*S[5, Infinity])/448 + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 3, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/252 - (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (31*S[2, Infinity]^2*S[3, Infinity])/112 - (29529*S[7, Infinity])/3584 - 
   (9*S[-5, 1, 1, Infinity])/28 - S[5, -1, -1, Infinity]/14 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((13*S[5, Infinity])/14 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-829*S[2, Infinity]^3)/1680 + (139*S[3, Infinity]^2)/
      224 - (4*S[-5, -1, Infinity])/7 + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 3, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/120 + (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (31*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (83*S[2, Infinity]^2*S[3, Infinity])/35 + (268879*S[7, Infinity])/7168 - 
   (53*S[-5, 1, 1, Infinity])/28 + (143*S[5, -1, -1, Infinity])/28 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-13855*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-47*S[2, Infinity]*S[3, Infinity])/32 - (899*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((793*S[2, Infinity]^3)/3360 + (579*S[3, Infinity]^2)/224 - 
     (15*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 3, 1, -1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^7)/504 + (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (43*S[2, Infinity]^2*S[3, Infinity])/224 - (114101*S[7, Infinity])/7168 + 
   (51*S[-5, 1, 1, Infinity])/28 - (75*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-39*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 + 
     (713*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((8261*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-2561*S[2, Infinity]^3)/3360 - 
     (3517*S[3, Infinity]^2)/896 + (163*S[-5, -1, Infinity])/28 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 3, 1, -1, -1, Infinity] -> -S[-1, Infinity]^7/420 - 
   (9*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (65*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 + 
     (93*S[5, Infinity])/128) + (397*S[2, Infinity]*S[5, Infinity])/896 - 
   (11955*S[7, Infinity])/3584 + (17*S[-5, 1, 1, Infinity])/28 - 
   S[5, -1, -1, Infinity]/7 + S[-1, Infinity]^3*((-33*S[2, Infinity]^2)/40 + 
     S[-1, 1, 1, 1, Infinity]/3) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1909*S[2, Infinity]^3)/1680 - 
     (2157*S[3, Infinity]^2)/896 + (129*S[-5, -1, Infinity])/28 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 3, -1, 1, 1, Infinity] -> S[-1, Infinity]^7/210 - 
   (3*S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1321*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (75499*S[7, Infinity])/3584 - (29*S[-5, 1, 1, Infinity])/14 + 
   (55*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((47*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/3) + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((787*S[2, Infinity]^3)/840 + (1935*S[3, Infinity]^2)/
      896 + (3*S[-5, -1, Infinity])/7 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1759*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/32 - 
     (31*S[5, Infinity])/16 + S[-1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 3, -1, 1, -1, Infinity] -> 
  (31*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (801*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-45*S[2, Infinity]*S[3, Infinity])/16 - 
     (279*S[5, Infinity])/32) - (4951*S[2, Infinity]*S[5, Infinity])/224 + 
   (83645*S[7, Infinity])/1792 - (11*S[-5, 1, 1, Infinity])/7 + 
   (52*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-51*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/3) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-827*S[2, Infinity]^3)/840 + (1375*S[3, Infinity]^2)/
      896 + (13*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 3, -1, -1, 1, Infinity] -> (-19*S[-1, Infinity]^7)/840 + 
   (13*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (31*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + (9*S[2, Infinity]^2*S[3, Infinity])/
    14 - (16367*S[7, Infinity])/1792 - (17*S[-5, 1, 1, Infinity])/14 + 
   (2*S[5, -1, -1, Infinity])/7 + 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-263*S[2, Infinity]^3)/120 - (13*S[3, Infinity]^2)/56 + 
     (53*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-4483*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/4 + (341*S[5, Infinity])/128 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 3, -1, -1, -1, Infinity] -> (-23*S[-1, Infinity]^7)/1260 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (2523*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (70123*S[7, Infinity])/1792 + S[-1, Infinity]*(-S[2, Infinity]^3/6 + 
     (24*S[3, Infinity]^2)/7 + (6*S[-5, -1, Infinity])/7) - 
   (29*S[-5, 1, 1, Infinity])/7 + (55*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((-7687*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/2 - (341*S[5, Infinity])/64 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, 2, 1, 1, Infinity] -> S[-1, Infinity]^7/126 - 
   (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (611*S[2, Infinity]^2*S[3, Infinity])/224 - (4533*S[7, Infinity])/1792 - 
   (6*S[-5, 1, 1, Infinity])/7 - (33*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/6 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((1821*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/8 + (279*S[5, Infinity])/64 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((321*S[2, Infinity]^3)/280 + (291*S[3, Infinity]^2)/448 - 
     (3*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/252 - (13*S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (59*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (589*S[2, Infinity]^2*S[3, Infinity])/112 - (272365*S[7, Infinity])/7168 - 
   (34*S[-5, 1, 1, Infinity])/7 - (171*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((33*S[2, Infinity]^2)/20 - (2*S[-1, 1, 1, 1, Infinity])/
      3) + (59*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((203*S[2, Infinity]*S[3, Infinity])/32 + 
     (31*S[5, Infinity])/16 + 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2095*S[5, Infinity])/112 + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((39*S[2, Infinity]^3)/32 + (2433*S[3, Infinity]^2)/448 - 
     (115*S[-5, -1, Infinity])/28 + 
     (13*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 2, -1, 1, Infinity] -> 
  (47*S[-1, Infinity]^7)/1260 - (7*S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (83*S[2, Infinity]^2*S[3, Infinity])/160 - (3735*S[7, Infinity])/256 + 
   S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((137*S[2, Infinity]^2)/120 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((107*S[2, Infinity]^3)/40 - 3*S[-5, -1, Infinity] + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((23*S[2, Infinity]*S[3, Infinity])/8 + 
     (341*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((921*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 2, -1, -1, Infinity] -> 
  (31*S[-1, Infinity]^7)/630 - (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (7*S[2, Infinity]^2*S[3, Infinity])/10 + (2023*S[7, Infinity])/64 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/20 - (4*S[-1, 1, 1, 1, Infinity])/
      3) + 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((703*S[2, Infinity]^3)/140 + (61*S[3, Infinity]^2)/32 - 
     4*S[-5, -1, Infinity] - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, 2, 1, Infinity] -> 
  (-5*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (27*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 - 
     (465*S[5, Infinity])/64) - (317*S[2, Infinity]*S[5, Infinity])/224 + 
   (2283*S[7, Infinity])/7168 + S[-1, Infinity]*
    ((-1079*S[2, Infinity]^3)/1120 + (587*S[3, Infinity]^2)/224 - 
     (29*S[-5, -1, Infinity])/14) - (29*S[-5, 1, 1, Infinity])/14 + 
   (47*S[5, -1, -1, Infinity])/28 + 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8, 
 S[-1, 2, 1, 2, -1, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/4 - 
   (2931*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (1201*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/2 + 
     (93*S[5, Infinity])/64) + (24021*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-697*S[2, Infinity]^3)/560 - (673*S[3, Infinity]^2)/
      224 + (17*S[-5, -1, Infinity])/7) + (17*S[-5, 1, 1, Infinity])/7 + 
   (13*S[5, -1, -1, Infinity])/14 - 6*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity], S[-1, 2, 1, 1, 2, Infinity] -> 
  (-11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (57*S[2, Infinity]^2*S[3, Infinity])/16 + S[-1, Infinity]^2*
    ((19*S[2, Infinity]*S[3, Infinity])/16 + (155*S[5, Infinity])/32) - 
   (14455*S[7, Infinity])/512 + S[-5, 1, 1, Infinity]/2 - 
   (9*S[5, -1, -1, Infinity])/2 + 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((241*S[2, Infinity]^3)/240 + (19*S[3, Infinity]^2)/64 - 
     2*S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((91*S[5, Infinity])/8 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, 1, -2, Infinity] -> (7*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (583*S[2, Infinity]^2*S[3, Infinity])/448 + (31473*S[7, Infinity])/7168 + 
   (47*S[-5, 1, 1, Infinity])/28 - (23*S[5, -1, -1, Infinity])/28 - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((3203*S[2, Infinity]^3)/3360 - (527*S[3, Infinity]^2)/
      448 - (23*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((1823*S[5, Infinity])/448 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, 1, -1, 2, Infinity] -> 
  S[-1, Infinity]^7/105 + (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
   (55*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1977*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (3873*S[2, Infinity]*S[5, Infinity])/896 - (126463*S[7, Infinity])/3584 + 
   (92*S[-5, 1, 1, Infinity])/7 - (19*S[5, -1, -1, Infinity])/14 - 
   (55*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-223*S[2, Infinity]*S[3, Infinity])/32 + 
     (1643*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-6953*S[2, Infinity]^3)/1680 - 
     (5337*S[3, Infinity]^2)/448 + (36*S[-5, -1, Infinity])/7 - 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^7/70 + (23*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (209*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (3761*S[2, Infinity]^2*S[3, Infinity])/448 + 
   S[-1, Infinity]^2*((29*S[2, Infinity]*S[3, Infinity])/32 + 
     (2697*S[5, Infinity])/64) - (1561351*S[7, Infinity])/7168 + 
   (527*S[-5, 1, 1, Infinity])/28 - (691*S[5, -1, -1, Infinity])/28 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((32841*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-18589*S[2, Infinity]^3)/3360 - (8517*S[3, Infinity]^2)/448 + 
     (303*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, 1, -2, 1, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/4 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 - 
   (5967*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (4733*S[2, Infinity]*S[5, Infinity])/448 + (109341*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-19*S[2, Infinity]^3)/40 - (3683*S[3, Infinity]^2)/896 + 
     (47*S[-5, -1, Infinity])/14) + (115*S[-5, 1, 1, Infinity])/28 + 
   (47*S[5, -1, -1, Infinity])/14 - 6*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity], S[-1, 2, 1, -2, -1, Infinity] -> 
  (3*S[-1, Infinity]^5*S[2, Infinity])/16 - 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (33*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (2613*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (3995*S[2, Infinity]*S[5, Infinity])/448 + (138897*S[7, Infinity])/7168 + 
   (85*S[-5, 1, 1, Infinity])/28 + (85*S[5, -1, -1, Infinity])/28 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-185*S[2, Infinity]^3)/224 - (2483*S[3, Infinity]^2)/
      896 + (16*S[-5, -1, Infinity])/7 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[-1, 2, -1, 2, 1, Infinity] -> -S[-1, Infinity]^7/63 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (279*S[2, Infinity]^2*S[3, Infinity])/70 - (530461*S[7, Infinity])/7168 + 
   (85*S[-5, 1, 1, Infinity])/14 - (271*S[5, -1, -1, Infinity])/28 + 
   (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/24 + (4*S[-1, 1, 1, 1, Infinity])/
      3) + S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 + 
     (341*S[5, Infinity])/64 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((8509*S[5, Infinity])/448 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-1063*S[2, Infinity]^3)/1120 - (727*S[3, Infinity]^2)/224 - 
     (38*S[-5, -1, Infinity])/7 + (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, 2, -1, Infinity] -> 
  (-4*S[-1, Infinity]^7)/63 + (23*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (5407*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (6323*S[2, Infinity]*S[5, Infinity])/56 + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/8 + (527*S[5, Infinity])/8) - 
   (135487*S[7, Infinity])/448 + (212*S[-5, 1, 1, Infinity])/7 - 
   (264*S[5, -1, -1, Infinity])/7 - 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^3*
    ((-171*S[2, Infinity]^2)/40 + (4*S[-1, 1, 1, 1, Infinity])/3) + 
   S[-1, Infinity]*((-1647*S[2, Infinity]^3)/280 - (7507*S[3, Infinity]^2)/
      224 + (263*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^7/105 + (47*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (59*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (47*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (16313*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (425597*S[7, Infinity])/3584 - (11*S[-5, 1, 1, Infinity])/7 + 
   (153*S[5, -1, -1, Infinity])/14 - 
   (47*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-34861*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-83*S[2, Infinity]*S[3, Infinity])/32 - (1395*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-11*S[2, Infinity]^3)/168 - (51*S[3, Infinity]^2)/448 + 
     (52*S[-5, -1, Infinity])/7 - (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, 1, -2, Infinity] -> 
  S[-1, Infinity]^7/70 - (S[-1, Infinity]^5*S[2, Infinity])/6 + 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (5871*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((43*S[2, Infinity]*S[3, Infinity])/32 - 
     (2945*S[5, Infinity])/64) + (189687*S[7, Infinity])/896 - 
   (295*S[-5, 1, 1, Infinity])/14 + (185*S[5, -1, -1, Infinity])/7 + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-33737*S[5, Infinity])/448 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((9013*S[2, Infinity]^3)/1680 + (10869*S[3, Infinity]^2)/448 - 
     (169*S[-5, -1, Infinity])/14 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^7/35 - (7*S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (56*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
   (2081*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/2 - 
     (1457*S[5, Infinity])/16) + (12185*S[7, Infinity])/28 - 
   (290*S[-5, 1, 1, Infinity])/7 + (368*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((-8599*S[5, Infinity])/56 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((397*S[2, Infinity]^3)/42 + (613*S[3, Infinity]^2)/14 - 
     (143*S[-5, -1, Infinity])/7 - 48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   192*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, -1, -2, Infinity] -> 
  (-2*S[-1, Infinity]^7)/105 + (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (243*S[2, Infinity]^2*S[3, Infinity])/40 - 
   (4457*S[2, Infinity]*S[5, Infinity])/64 + (3253*S[7, Infinity])/16 - 
   (37*S[-5, 1, 1, Infinity])/2 + 22*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/2 - 
     (2263*S[5, Infinity])/64 + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1751*S[2, Infinity]^3)/840 + (121*S[3, Infinity]^2)/8 + 
     (5*S[-5, -1, Infinity])/2 - 48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, -2, 1, Infinity] -> 
  (2*S[-1, Infinity]^7)/105 - (2*S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (25433*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (1844307*S[7, Infinity])/7168 + (283*S[-5, 1, 1, Infinity])/14 - 
   (897*S[5, -1, -1, Infinity])/28 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/16 + 
     (651*S[5, Infinity])/16 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((47339*S[5, Infinity])/448 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((517*S[2, Infinity]^3)/224 - (3231*S[3, Infinity]^2)/224 - 
     (137*S[-5, -1, Infinity])/14 + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -1, -2, -1, Infinity] -> 
  S[-1, Infinity]^7/15 - (7*S[-1, Infinity]^5*S[2, Infinity])/10 + 
   (653*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (4979*S[2, Infinity]^2*S[3, Infinity])/560 - (6375*S[7, Infinity])/112 - 
   (65*S[-5, 1, 1, Infinity])/14 - (78*S[5, -1, -1, Infinity])/7 + 
   13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^2*((65*S[2, Infinity]*S[3, Infinity])/8 - 
     (961*S[5, Infinity])/64 - 16*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((5207*S[5, Infinity])/448 - 
     16*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1733*S[2, Infinity]^3)/280 + (3729*S[3, Infinity]^2)/224 - 
     (485*S[-5, -1, Infinity])/14 + 12*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -2, 1, 1, Infinity] -> S[-1, Infinity]^7/63 + 
   (S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (49*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (19833*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (210131*S[7, Infinity])/3584 + (81*S[-5, 1, 1, Infinity])/14 + 
   (95*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-17*S[2, Infinity]^2)/24 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (77*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-147*S[2, Infinity]*S[3, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-4255*S[5, Infinity])/224 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-47*S[2, Infinity]^3)/28 - (5521*S[3, Infinity]^2)/896 + 
     (95*S[-5, -1, Infinity])/14 - 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 2, -2, 1, -1, Infinity] -> S[-1, Infinity]^7/36 - 
   (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (43*S[2, Infinity]^2*S[3, Infinity])/35 + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/8 - (527*S[5, Infinity])/64) - 
   (8861*S[2, Infinity]*S[5, Infinity])/448 + (218077*S[7, Infinity])/3584 - 
   (13*S[-5, 1, 1, Infinity])/7 + (93*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/40 - (2*S[-1, 1, 1, 1, Infinity])/
      3) + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((1619*S[2, Infinity]^3)/560 + (2843*S[3, Infinity]^2)/
      896 - (6*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -2, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/1260 + (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (97*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (267*S[2, Infinity]^2*S[3, Infinity])/2240 + (180591*S[7, Infinity])/
    7168 - (27*S[-5, 1, 1, Infinity])/7 + (137*S[5, -1, -1, Infinity])/28 + 
   S[2, Infinity]*((-111*S[5, Infinity])/7 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/16 - 
     (465*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-3769*S[2, Infinity]^3)/1120 + 
     (225*S[3, Infinity]^2)/112 + (29*S[-5, -1, Infinity])/7 - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 2, -2, -1, -1, Infinity] -> 
  (-8*S[-1, Infinity]^7)/315 + (19*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (39*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (8873*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (167019*S[7, Infinity])/3584 + (36*S[-5, 1, 1, Infinity])/7 + 
   (121*S[5, -1, -1, Infinity])/14 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-4735*S[5, Infinity])/224 + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    (-8*S[2, Infinity]*S[3, Infinity] + (31*S[5, Infinity])/32 + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-737*S[2, Infinity]^3)/112 - (1923*S[3, Infinity]^2)/224 + 
     (92*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 3, 1, 1, Infinity] -> 
  (-2*S[-1, Infinity]^7)/315 + (S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (659*S[2, Infinity]^2*S[3, Infinity])/448 + (86335*S[7, Infinity])/7168 + 
   (3*S[-5, 1, 1, Infinity])/14 + (41*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/6 + S[-1, 1, 1, 1, Infinity]/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*(S[2, Infinity]^3/32 - (345*S[3, Infinity]^2)/896 + 
     (3*S[-5, -1, Infinity])/14 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/16 - 
     (35*S[5, Infinity])/16 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1507*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, 
      Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 3, 1, -1, Infinity] -> (-41*S[-1, Infinity]^7)/2520 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (4371*S[2, Infinity]^2*S[3, Infinity])/2240 - (19751*S[7, Infinity])/448 + 
   (57*S[-5, 1, 1, Infinity])/14 - (83*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-271*S[2, Infinity]^2)/240 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-67*S[2, Infinity]^3)/70 - (4567*S[3, Infinity]^2)/896 + 
     (57*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/32 + (1115*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((16759*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 3, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/630 + (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (793*S[2, Infinity]^2*S[3, Infinity])/448 - (114101*S[7, Infinity])/7168 + 
   (51*S[-5, 1, 1, Infinity])/28 - (75*S[5, -1, -1, Infinity])/28 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((1975*S[5, Infinity])/896 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-11*S[2, Infinity]*S[3, Infinity])/32 + (247*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((223*S[2, Infinity]^3)/1120 - (339*S[3, Infinity]^2)/896 - 
     (75*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 3, -1, -1, Infinity] -> 
  (-41*S[-1, Infinity]^7)/2520 + (13*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (871*S[2, Infinity]^2*S[3, Infinity])/1120 - (11955*S[7, Infinity])/3584 + 
   (17*S[-5, 1, 1, Infinity])/28 - S[5, -1, -1, Infinity]/7 + 
   S[-1, Infinity]^3*((71*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/
      3) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/8 - 
     (109*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1287*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((41*S[2, Infinity]^3)/40 + (727*S[3, Infinity]^2)/896 - 
     (109*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 2, 2, 1, Infinity] -> S[-1, Infinity]^7/210 - 
   (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (3001*S[2, Infinity]^2*S[3, Infinity])/2240 - (2131*S[7, Infinity])/112 + 
   (26*S[-5, 1, 1, Infinity])/7 - (25*S[5, -1, -1, Infinity])/14 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/32 + 
     (1089*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2005*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-243*S[2, Infinity]^3)/280 - (1793*S[3, Infinity]^2)/448 + 
     (83*S[-5, -1, Infinity])/28 + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   24*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, 2, -1, Infinity] -> 
  (37*S[-1, Infinity]^7)/1260 + (17*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (19*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (491*S[2, Infinity]^2*S[3, Infinity])/224 - (17765*S[7, Infinity])/7168 + 
   (45*S[-5, 1, 1, Infinity])/7 + (33*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-59*S[2, Infinity]^2)/60 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-3553*S[5, Infinity])/448 - 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-163*S[2, Infinity]*S[3, Infinity])/32 + (529*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-2899*S[2, Infinity]^3)/1120 - (3313*S[3, Infinity]^2)/448 + 
     (159*S[-5, -1, Infinity])/28 - 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, 1, 2, Infinity] -> 
  (3*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (2339*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/32 - 
     (301*S[5, Infinity])/128) + (144595*S[7, Infinity])/7168 - 
   (17*S[-5, 1, 1, Infinity])/14 + (99*S[5, -1, -1, Infinity])/28 - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-1053*S[2, Infinity]^3)/1120 + 
     (107*S[3, Infinity]^2)/896 + (71*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-8767*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, 2, 1, -2, Infinity] -> 
  (-3*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (311*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/4 - 
     (197*S[5, Infinity])/64) - (5101*S[7, Infinity])/3584 - 
   (53*S[-5, 1, 1, Infinity])/14 + (12*S[5, -1, -1, Infinity])/7 + 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-513*S[2, Infinity]^3)/560 + (2987*S[3, Infinity]^2)/
      896 - S[-5, -1, Infinity]/28 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1387*S[5, Infinity])/224 - 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 2, -1, 2, Infinity] -> (-11*S[-1, Infinity]^7)/315 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1121*S[2, Infinity]^2*S[3, Infinity])/448 + 
   S[-1, Infinity]^2*((45*S[2, Infinity]*S[3, Infinity])/32 - 
     (3773*S[5, Infinity])/128) + (435955*S[7, Infinity])/3584 - 
   (114*S[-5, 1, 1, Infinity])/7 + (227*S[5, -1, -1, Infinity])/14 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*((-5*S[2, Infinity]^2)/48 + (4*S[-1, 1, 1, 1, Infinity])/
      3) + S[2, Infinity]*((-25155*S[5, Infinity])/896 + 
     16*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((219*S[2, Infinity]^3)/40 + (1615*S[3, Infinity]^2)/112 - 
     (53*S[-5, -1, Infinity])/14 - 5*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -1, -2, Infinity] -> 
  S[-1, Infinity]^7/70 - (29*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (73*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (4919*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/32 - 
     (739*S[5, Infinity])/16) - (38865*S[2, Infinity]*S[5, Infinity])/448 + 
   (838629*S[7, Infinity])/3584 - (613*S[-5, 1, 1, Infinity])/28 + 
   (195*S[5, -1, -1, Infinity])/7 + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((29*S[2, Infinity]^3)/7 + (150*S[3, Infinity]^2)/7 - 
     (263*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -2, 1, Infinity] -> 
  S[-1, Infinity]^7/126 - (S[-1, Infinity]^5*S[2, Infinity])/6 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (2*S[-1, Infinity]^4*S[3, Infinity])/3 + 
   (19781*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (126221*S[7, Infinity])/1792 - (157*S[-5, 1, 1, Infinity])/28 - 
   (55*S[5, -1, -1, Infinity])/7 + 
   (25*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((4799*S[5, Infinity])/224 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((143*S[2, Infinity]*S[3, Infinity])/32 + (95*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((29*S[2, Infinity]^3)/35 + (5699*S[3, Infinity]^2)/896 - 
     (48*S[-5, -1, Infinity])/7 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 2, -2, -1, Infinity] -> 
  -S[-1, Infinity]^7/60 - (19*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (327*S[2, Infinity]^2*S[3, Infinity])/140 - (54195*S[7, Infinity])/896 - 
   (33*S[-5, 1, 1, Infinity])/28 - (83*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((79*S[2, Infinity]^2)/60 + (2*S[-1, 1, 1, 1, Infinity])/
      3) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((41*S[2, Infinity]*S[3, Infinity])/8 + 
     (125*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2045*S[5, Infinity])/112 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-73*S[2, Infinity]^3)/560 + (739*S[3, Infinity]^2)/896 - 
     (17*S[-5, -1, Infinity])/7 + 
     (13*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 3, 1, Infinity] -> 
  -S[-1, Infinity]^7/280 + (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (4*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (109*S[2, Infinity]^2*S[3, Infinity])/112 - (54069*S[7, Infinity])/7168 + 
   S[-5, 1, 1, Infinity]/14 - (33*S[5, -1, -1, Infinity])/28 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((3795*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/32 + 
     (61*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-73*S[2, Infinity]^3)/480 - (69*S[3, Infinity]^2)/224 + 
     (9*S[-5, -1, Infinity])/28 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 3, -1, Infinity] -> 
  -S[-1, Infinity]^7/180 - (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (47*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (39*S[2, Infinity]^2*S[3, Infinity])/280 + (180655*S[7, Infinity])/7168 - 
   (89*S[-5, 1, 1, Infinity])/28 + (65*S[5, -1, -1, Infinity])/28 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((39*S[2, Infinity]*S[3, Infinity])/32 - 
     (97*S[5, Infinity])/16 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1293*S[5, Infinity])/224 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((5651*S[2, Infinity]^3)/3360 + (841*S[3, Infinity]^2)/224 - 
     (41*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 2, 2, Infinity] -> 
  S[-1, Infinity]^7/420 - (S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (41*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (31*S[2, Infinity]^2*S[3, Infinity])/35 + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/4 - (75*S[5, Infinity])/16) + 
   (1131*S[7, Infinity])/56 - (4*S[-5, 1, 1, Infinity])/7 + 
   (10*S[5, -1, -1, Infinity])/7 + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-393*S[5, Infinity])/112 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((253*S[2, Infinity]^3)/210 + (321*S[3, Infinity]^2)/224 - 
     (79*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 2, -2, Infinity] -> 
  S[-1, Infinity]^7/315 - (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (113*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (47*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (129*S[2, Infinity]^2*S[3, Infinity])/56 + 
   S[-1, Infinity]^2*((79*S[2, Infinity]*S[3, Infinity])/32 - 
     (331*S[5, Infinity])/64) + (60895*S[7, Infinity])/7168 - 
   (109*S[-5, 1, 1, Infinity])/28 - (39*S[5, -1, -1, Infinity])/28 + 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((2869*S[5, Infinity])/448 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((11383*S[2, Infinity]^3)/3360 + (1251*S[3, Infinity]^2)/224 - 
     (43*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, 1, 3, Infinity] -> 
  -S[-1, Infinity]^7/630 + (S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (143*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (283*S[-1, Infinity]^2*S[5, Infinity])/128 - (31803*S[7, Infinity])/3584 + 
   (15*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((1467*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-139*S[2, Infinity]^3)/280 - 
     (89*S[3, Infinity]^2)/112 + (29*S[-5, -1, Infinity])/28 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^7/840 + 
   (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (17*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
   (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (39*S[2, Infinity]^2*S[3, Infinity])/40 + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/4 + (219*S[5, Infinity])/64) - 
   (1889*S[7, Infinity])/256 + (5*S[-5, 1, 1, Infinity])/2 - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-61*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-53*S[2, Infinity]^3)/35 - (13*S[3, Infinity]^2)/4 + 
     3*S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -1, 3, Infinity] -> 
  (17*S[-1, Infinity]^7)/2520 - (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (35*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (119*S[2, Infinity]^2*S[3, Infinity])/40 - (20995*S[7, Infinity])/1024 + 
   S[-5, 1, 1, Infinity]/4 - (17*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((23*S[2, Infinity]^2)/60 - S[-1, 1, 1, 1, Infinity]/
      3) + (29*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-863*S[2, Infinity]^3)/1120 + (61*S[3, Infinity]^2)/
      128 - (5*S[-5, -1, Infinity])/4 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((15*S[5, Infinity])/16 - 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((61*S[2, Infinity]*S[3, Infinity])/32 + (219*S[5, Infinity])/64 + 
     S[-1, 1, 1, 1, 1, Infinity]) - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, -1, -3, Infinity] -> (2*S[-1, Infinity]^7)/315 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (27*S[2, Infinity]^2*S[3, Infinity])/448 - (103555*S[7, Infinity])/7168 + 
   (25*S[-5, 1, 1, Infinity])/14 - (41*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-29*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/
      3) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-409*S[2, Infinity]^3)/1120 - (1293*S[3, Infinity]^2)/
      896 + (2*S[-5, -1, Infinity])/7 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/32 + 
     (283*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((6969*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^7/315 + (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (23*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
   (73*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1059*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((-97*S[2, Infinity]*S[3, Infinity])/32 + 
     (671*S[5, Infinity])/128) + (193*S[7, Infinity])/128 + 
   (23*S[-5, 1, 1, Infinity])/4 + S[5, -1, -1, Infinity] - 
   (45*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-671*S[5, Infinity])/128 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-773*S[2, Infinity]^3)/336 - (811*S[3, Infinity]^2)/128 + 
     (19*S[-5, -1, Infinity])/4 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -2, -2, Infinity] -> 
  -S[-1, Infinity]^7/420 - (13*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (2927*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/8 + 
     (537*S[5, Infinity])/64) - (313141*S[7, Infinity])/7168 + 
   (83*S[-5, 1, 1, Infinity])/28 - (141*S[5, -1, -1, Infinity])/28 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((803*S[5, Infinity])/56 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[-1, Infinity]*((-547*S[2, Infinity]^3)/672 - (2557*S[3, Infinity]^2)/
      896 + (55*S[-5, -1, Infinity])/28 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -3, 1, Infinity] -> 
  -S[-1, Infinity]^7/420 + (S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (3113*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (72809*S[7, Infinity])/1792 - (15*S[-5, 1, 1, Infinity])/14 + 
   (31*S[5, -1, -1, Infinity])/7 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/16 - 
     (163*S[5, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1177*S[5, Infinity])/112 + 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((139*S[2, Infinity]^3)/168 + (537*S[3, Infinity]^2)/448 + 
     (3*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, 1, -3, -1, Infinity] -> 
  -S[-1, Infinity]^7/840 + (11*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (4*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (317*S[2, Infinity]^2*S[3, Infinity])/224 + (30895*S[7, Infinity])/1792 + 
   (19*S[-5, 1, 1, Infinity])/14 + (13*S[5, -1, -1, Infinity])/7 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-639*S[5, Infinity])/112 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-37*S[2, Infinity]*S[3, Infinity])/16 - 
     S[5, Infinity]/4 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-859*S[2, Infinity]^3)/840 - (823*S[3, Infinity]^2)/
      448 + (20*S[-5, -1, Infinity])/7 - 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 3, 1, Infinity] -> S[-1, Infinity]^7/180 - 
   (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (779*S[2, Infinity]^2*S[3, Infinity])/2240 + (124639*S[7, Infinity])/
    7168 - (127*S[-5, 1, 1, Infinity])/28 + (69*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/6 - S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/16 - 
     (163*S[5, Infinity])/32 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-51*S[5, Infinity])/56 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((787*S[2, Infinity]^3)/672 + (3519*S[3, Infinity]^2)/
      896 - (43*S[-5, -1, Infinity])/28 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 3, -1, Infinity] -> 
  (17*S[-1, Infinity]^7)/2520 - (7*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (269*S[2, Infinity]^2*S[3, Infinity])/320 - (151*S[7, Infinity])/256 - 
   3*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((59*S[2, Infinity]^2)/120 - S[-1, 1, 1, 1, Infinity]/
      3) + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((19*S[5, Infinity])/16 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((43*S[2, Infinity]*S[3, Infinity])/16 - 
     S[5, Infinity]/4 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((143*S[2, Infinity]^3)/336 + (285*S[3, Infinity]^2)/128 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 2, 2, Infinity] -> (4*S[-1, Infinity]^7)/315 - 
   (S[-1, Infinity]^5*S[2, Infinity])/5 - (S[-1, Infinity]^4*S[3, Infinity])/
    4 + (13059*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (370999*S[7, Infinity])/7168 - (25*S[-5, 1, 1, Infinity])/7 - 
   (135*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((47*S[2, Infinity]^2)/60 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-4307*S[2, Infinity]^3)/3360 + 
     (985*S[3, Infinity]^2)/448 - (15*S[-5, -1, Infinity])/14 + 
     6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((8791*S[5, Infinity])/896 - 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((47*S[2, Infinity]*S[3, Infinity])/16 + (671*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, 2, -2, Infinity] -> (17*S[-1, Infinity]^7)/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + (S[-1, Infinity]^4*S[3, Infinity])/
    24 - (5867*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (681*S[2, Infinity]*S[5, Infinity])/896 - (29037*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-2449*S[2, Infinity]^3)/1680 - 
     (2971*S[3, Infinity]^2)/448 + (79*S[-5, -1, Infinity])/14) + 
   (22*S[-5, 1, 1, Infinity])/7 - (19*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/48 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-31*S[2, Infinity]*S[3, Infinity])/32 + 
     (537*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, 3, Infinity] -> 
  (-13*S[-1, Infinity]^7)/2520 + (13*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (227*S[2, Infinity]^2*S[3, Infinity])/280 - (72725*S[7, Infinity])/1792 + 
   (39*S[-5, 1, 1, Infinity])/7 - (38*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-9*S[2, Infinity]^2)/20 + S[-1, 1, 1, 1, Infinity]/
      3) - 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/16 + 
     (529*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((9223*S[5, Infinity])/448 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((11*S[2, Infinity]^3)/20 - (4371*S[3, Infinity]^2)/896 + 
     S[-5, -1, Infinity]/14 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, 1, -3, Infinity] -> 
  -S[-1, Infinity]^7/180 + (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (683*S[2, Infinity]^2*S[3, Infinity])/320 + 
   (1209*S[2, Infinity]*S[5, Infinity])/64 - (45359*S[7, Infinity])/1024 + 
   (7*S[-5, 1, 1, Infinity])/2 - (25*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/
      3) + (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/32 + 
     (903*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((143*S[2, Infinity]^3)/224 - (293*S[3, Infinity]^2)/128 - 
     2*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, 3, Infinity] -> 
  S[-1, Infinity]^7/420 - (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (41*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (349*S[2, Infinity]^2*S[3, Infinity])/560 - (42555*S[7, Infinity])/1792 + 
   (29*S[-5, 1, 1, Infinity])/14 - (55*S[5, -1, -1, Infinity])/14 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((5937*S[5, Infinity])/896 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/8 + (903*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((13*S[2, Infinity]^3)/56 - (1321*S[3, Infinity]^2)/448 + 
     (9*S[-5, -1, Infinity])/28 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -1, -3, Infinity] -> 
  S[-1, Infinity]^7/360 + (3*S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (1879*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (359081*S[7, Infinity])/7168 + (37*S[-5, 1, 1, Infinity])/14 - 
   (129*S[5, -1, -1, Infinity])/28 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-25*S[2, Infinity]*S[3, Infinity])/32 + 
     (529*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((11019*S[5, Infinity])/448 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((13*S[2, Infinity]^3)/32 - (1641*S[3, Infinity]^2)/448 + 
     (25*S[-5, -1, Infinity])/28 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -2, 2, Infinity] -> 
  (-17*S[-1, Infinity]^7)/1260 + (S[-1, Infinity]^5*S[2, Infinity])/16 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (453*S[2, Infinity]^2*S[3, Infinity])/320 + (10925*S[7, Infinity])/1024 + 
   S[-1, Infinity]*((4741*S[2, Infinity]^3)/3360 + (533*S[3, Infinity]^2)/
      128 - 4*S[-5, -1, Infinity]) - (5*S[-5, 1, 1, Infinity])/2 + 
   S[5, -1, -1, Infinity]/4 + S[-1, Infinity]^3*((7*S[2, Infinity]^2)/80 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/32 - 
     (75*S[5, Infinity])/16 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-9*S[5, Infinity])/4 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2) + 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -2, -2, Infinity] -> (-4*S[-1, Infinity]^7)/315 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (S[-1, Infinity]^4*S[3, Infinity])/4 - 
   (8249*S[2, Infinity]^2*S[3, Infinity])/2240 + (1551*S[7, Infinity])/56 + 
   (19*S[-5, 1, 1, Infinity])/28 + (55*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-29*S[2, Infinity]^2)/80 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 6*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*
    ((4127*S[2, Infinity]^3)/1680 - (221*S[3, Infinity]^2)/896 - 
     (23*S[-5, -1, Infinity])/28 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-29*S[2, Infinity]*S[3, Infinity])/16 - (331*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((803*S[5, Infinity])/224 + 13*S[-1, 1, 1, 1, 1, Infinity]) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -1, -3, 1, Infinity] -> 
  (11*S[-1, Infinity]^7)/2520 - (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (5153*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (256219*S[7, Infinity])/7168 - (13*S[-5, 1, 1, Infinity])/7 + 
   (123*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (-S[2, Infinity]^2/10 - S[-1, 1, 1, 1, Infinity]/3) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-17589*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/16 + (61*S[5, Infinity])/128 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-541*S[2, Infinity]^3)/480 - (269*S[3, Infinity]^2)/448 + 
     (165*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, -1, -3, -1, Infinity] -> S[-1, Infinity]^7/420 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (4257*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (106427*S[7, Infinity])/1792 - (45*S[-5, 1, 1, Infinity])/14 + 
   (137*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-89*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/3) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-1293*S[5, Infinity])/56 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-45*S[2, Infinity]*S[3, Infinity])/16 - (97*S[5, Infinity])/16 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-481*S[2, Infinity]^3)/840 + (589*S[3, Infinity]^2)/448 + 
     (127*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, 2, 1, Infinity] -> 
  -S[-1, Infinity]^7/126 + (S[-1, Infinity]^5*S[2, Infinity])/6 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (1285*S[2, Infinity]^2*S[3, Infinity])/448 + (292609*S[7, Infinity])/
    7168 + (31*S[-5, 1, 1, Infinity])/28 + (115*S[5, -1, -1, Infinity])/28 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/2 - 
     (153*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-4593*S[5, Infinity])/448 + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((373*S[2, Infinity]^3)/1120 - (1289*S[3, Infinity]^2)/896 + 
     (33*S[-5, -1, Infinity])/14 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, 2, -1, Infinity] -> 
  S[-1, Infinity]^7/60 + (S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (559*S[2, Infinity]^2*S[3, Infinity])/280 + (221257*S[7, Infinity])/3584 - 
   (36*S[-5, 1, 1, Infinity])/7 + (103*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((179*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) + S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-1261*S[5, Infinity])/56 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-11*S[2, Infinity]*S[3, Infinity])/8 - (371*S[5, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((127*S[2, Infinity]^3)/280 + (5711*S[3, Infinity]^2)/896 - 
     (109*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, 1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (93*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 - 
     (197*S[5, Infinity])/64) + (37215*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((29*S[2, Infinity]^3)/280 + (1355*S[3, Infinity]^2)/896 - 
     (19*S[-5, -1, Infinity])/28) - (10*S[-5, 1, 1, Infinity])/7 + 
   (29*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((-957*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -2, 1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (27*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 + 
     (71*S[5, Infinity])/128) - (2553*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-17*S[2, Infinity]^3)/35 - (445*S[3, Infinity]^2)/896 + 
     (13*S[-5, -1, Infinity])/14) + (5*S[-5, 1, 1, Infinity])/28 - 
   S[5, -1, -1, Infinity]/14 + S[2, Infinity]*((-435*S[5, Infinity])/896 - 
     S[-1, 1, 1, 1, 1, Infinity]/2), S[-1, 1, -2, -1, 2, Infinity] -> 
  -S[-1, Infinity]^7/70 + (41*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (83*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (5091*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-69*S[2, Infinity]*S[3, Infinity])/32 + 
     (749*S[5, Infinity])/16) - (1570687*S[7, Infinity])/7168 + 
   (171*S[-5, 1, 1, Infinity])/7 - (751*S[5, -1, -1, Infinity])/28 - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((18989*S[5, Infinity])/224 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-5007*S[2, Infinity]^3)/1120 - (22747*S[3, Infinity]^2)/896 + 
     (73*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, -1, -2, Infinity] -> 
  (11*S[-1, Infinity]^7)/315 - (11*S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1331*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((35*S[2, Infinity]*S[3, Infinity])/16 + 
     (4039*S[5, Infinity])/128) - (301923*S[7, Infinity])/1792 + 
   (89*S[-5, 1, 1, Infinity])/7 - (319*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((29*S[2, Infinity]^2)/48 - (4*S[-1, 1, 1, 1, Infinity])/
      3) + (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((40337*S[5, Infinity])/896 - 
     19*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-1087*S[2, Infinity]^3)/280 - (9627*S[3, Infinity]^2)/896 - 
     (9*S[-5, -1, Infinity])/7 + 8*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, -2, 1, Infinity] -> 
  -S[-1, Infinity]^7/210 + (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (621*S[2, Infinity]^2*S[3, Infinity])/320 + (24313*S[7, Infinity])/512 - 
   (7*S[-5, 1, 1, Infinity])/2 + (11*S[5, -1, -1, Infinity])/2 + 
   S[2, Infinity]*((-1085*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-15*S[2, Infinity]*S[3, Infinity])/32 - (525*S[5, Infinity])/64 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-89*S[2, Infinity]^3)/560 + (167*S[3, Infinity]^2)/64 + 
     S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   24*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -2, -2, -1, Infinity] -> 
  (-37*S[-1, Infinity]^7)/1260 + (7*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (431*S[2, Infinity]^2*S[3, Infinity])/1120 + (14067*S[7, Infinity])/1792 - 
   (39*S[-5, 1, 1, Infinity])/28 - S[5, -1, -1, Infinity]/7 + 
   S[-1, Infinity]^3*((-259*S[2, Infinity]^2)/240 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((17*S[2, Infinity]*S[3, Infinity])/16 - 
     (89*S[5, Infinity])/128 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((7691*S[5, Infinity])/896 + 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((141*S[2, Infinity]^3)/80 - (11*S[3, Infinity]^2)/448 + 
     (87*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -3, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/252 - (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (9*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (6409*S[2, Infinity]^2*S[3, Infinity])/1120 - (10279*S[7, Infinity])/224 - 
   (22*S[-5, 1, 1, Infinity])/7 - (36*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/12 + S[-1, 1, 1, 1, Infinity]/3) + 
   (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((755*S[5, Infinity])/56 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((49*S[2, Infinity]*S[3, Infinity])/16 + 
     (23*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((223*S[2, Infinity]^3)/280 + (199*S[3, Infinity]^2)/56 - 
     (65*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -3, 1, -1, Infinity] -> 
  (-47*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (67*S[2, Infinity]^2*S[3, Infinity])/112 - (1151*S[7, Infinity])/3584 - 
   (18*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((43*S[2, Infinity]^2)/60 + (2*S[-1, 1, 1, 1, Infinity])/
      3) - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/16 - 
     (295*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-725*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((249*S[2, Infinity]^3)/560 + (1321*S[3, Infinity]^2)/448 - 
     (57*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -3, -1, 1, Infinity] -> 
  (4*S[-1, Infinity]^7)/315 - (7*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (659*S[2, Infinity]^2*S[3, Infinity])/560 + (202523*S[7, Infinity])/7168 - 
   (24*S[-5, 1, 1, Infinity])/7 + (107*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 - 
     (745*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-11339*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((21*S[2, Infinity]^3)/32 + (1731*S[3, Infinity]^2)/448 - 
     (61*S[-5, -1, Infinity])/28 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, 1, -3, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/360 - (S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (5087*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (304749*S[7, Infinity])/7168 + (16*S[-5, 1, 1, Infinity])/7 - 
   (125*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    ((-91*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 + 
     (991*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((12597*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-1263*S[2, Infinity]^3)/1120 - (101*S[3, Infinity]^2)/28 + 
     (99*S[-5, -1, Infinity])/28 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 3, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/252 - (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1297*S[2, Infinity]^2*S[3, Infinity])/560 + (5659*S[7, Infinity])/1792 + 
   (39*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/14 + 
   S[2, Infinity]*((57*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 + 
     (23*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-23*S[2, Infinity]^3)/560 - (451*S[3, Infinity]^2)/448 + 
     S[-5, -1, Infinity]/7 + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 3, 1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^7)/280 + (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (457*S[2, Infinity]^2*S[3, Infinity])/560 + (3055*S[7, Infinity])/224 + 
   (67*S[-5, 1, 1, Infinity])/28 + (37*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((13*S[2, Infinity]^2)/60 + S[-1, 1, 1, 1, Infinity]/
      3) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-3919*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/32 - 
     (39*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((11*S[2, Infinity]^3)/16 - (619*S[3, Infinity]^2)/448 + 
     (8*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 3, -1, 1, Infinity] -> (13*S[-1, Infinity]^7)/630 - 
   (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (167*S[2, Infinity]^2*S[3, Infinity])/280 + (70123*S[7, Infinity])/1792 - 
   (29*S[-5, 1, 1, Infinity])/7 + (55*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((11*S[2, Infinity]^2)/12 - S[-1, 1, 1, 1, Infinity]/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-79*S[2, Infinity]^3)/280 + (409*S[3, Infinity]^2)/56 - 
     (29*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/32 - 
     (1799*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-15815*S[5, Infinity])/896 + 
     5*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 3, -1, -1, Infinity] -> (3*S[-1, Infinity]^7)/280 - 
   (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (15*S[2, Infinity]^2*S[3, Infinity])/56 - (16367*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-1733*S[2, Infinity]^3)/560 + (57*S[3, Infinity]^2)/56 - 
     (17*S[-5, -1, Infinity])/14) - (17*S[-5, 1, 1, Infinity])/14 + 
   (2*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity]) - (497*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-2971*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, 2, 1, Infinity] -> 
  S[-1, Infinity]^7/126 + (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (687*S[2, Infinity]^2*S[3, Infinity])/224 + (152233*S[7, Infinity])/3584 - 
   (11*S[-5, 1, 1, Infinity])/7 + (69*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/6 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-4827*S[5, Infinity])/448 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/4 - (153*S[5, Infinity])/64 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((53*S[2, Infinity]^3)/280 + (47*S[3, Infinity]^2)/448 + 
     (89*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, 2, -1, Infinity] -> 
  (41*S[-1, Infinity]^7)/1260 - (11*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (35*S[2, Infinity]^2*S[3, Infinity])/32 + (4323*S[7, Infinity])/64 - 
   8*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*((269*S[2, Infinity]^2)/240 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-643*S[5, Infinity])/32 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/8 - (371*S[5, Infinity])/32 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((291*S[2, Infinity]^3)/112 + (521*S[3, Infinity]^2)/64 - 
     (13*S[-5, -1, Infinity])/4 - (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, 1, 2, Infinity] -> 
  (11*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (841*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((-83*S[2, Infinity]*S[3, Infinity])/32 - 
     (197*S[5, Infinity])/64) + (45091*S[7, Infinity])/1024 + 
   3*S[-5, 1, 1, Infinity] + (19*S[5, -1, -1, Infinity])/4 - 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-409*S[2, Infinity]^3)/1120 - 2*S[3, Infinity]^2 + 
     2*S[-5, -1, Infinity] - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-113*S[5, Infinity])/8 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 2, 1, -2, Infinity] -> (-11*S[-1, Infinity]^5*S[2, Infinity])/
    240 + (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (7057*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((43*S[2, Infinity]*S[3, Infinity])/32 + 
     (71*S[5, Infinity])/128) - (122057*S[7, Infinity])/7168 + 
   (3*S[-5, 1, 1, Infinity])/28 - (53*S[5, -1, -1, Infinity])/28 + 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-187*S[2, Infinity]^3)/1120 + (181*S[3, Infinity]^2)/
      112 - (25*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((101*S[5, Infinity])/28 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 2, -1, 2, Infinity] -> (-19*S[-1, Infinity]^7)/630 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (3581*S[2, Infinity]^2*S[3, Infinity])/280 - (142957*S[7, Infinity])/448 + 
   (206*S[-5, 1, 1, Infinity])/7 - (284*S[5, -1, -1, Infinity])/7 + 
   5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^3*((-139*S[2, Infinity]^2)/120 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[2, Infinity]*
    ((47393*S[5, Infinity])/448 - 16*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 + 
     (3833*S[5, Infinity])/64 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-2669*S[2, Infinity]^3)/560 - (743*S[3, Infinity]^2)/
      28 + (24*S[-5, -1, Infinity])/7 + 
     (15*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, -1, -2, Infinity] -> 
  (2*S[-1, Infinity]^7)/105 + (19*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (43*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (91*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1521*S[2, Infinity]^2*S[3, Infinity])/560 - (1506867*S[7, Infinity])/
    7168 + (383*S[-5, 1, 1, Infinity])/14 - (753*S[5, -1, -1, Infinity])/28 - 
   (91*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-107*S[2, Infinity]*S[3, Infinity])/32 + 
     (5713*S[5, Infinity])/128 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((78923*S[5, Infinity])/896 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-589*S[2, Infinity]^3)/1120 - (1341*S[3, Infinity]^2)/56 + 
     (19*S[-5, -1, Infinity])/14 - 7*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, -2, 1, Infinity] -> 
  S[-1, Infinity]^7/90 + (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (31*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (305*S[2, Infinity]^2*S[3, Infinity])/448 - 
   (6721*S[2, Infinity]*S[5, Infinity])/448 + (171473*S[7, Infinity])/3584 - 
   (22*S[-5, 1, 1, Infinity])/7 + (75*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/2 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/4 - 
     (525*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-15*S[2, Infinity]^3)/112 + (649*S[3, Infinity]^2)/224 + 
     (6*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, -2, -1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/1260 + (19*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (349*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (751*S[2, Infinity]^2*S[3, Infinity])/560 + (182159*S[7, Infinity])/7168 + 
   S[-5, 1, 1, Infinity]/7 + (25*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-2343*S[5, Infinity])/896 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-45*S[2, Infinity]*S[3, Infinity])/32 - (89*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-757*S[2, Infinity]^3)/1120 - (271*S[3, Infinity]^2)/224 + 
     (29*S[-5, -1, Infinity])/7 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 3, 1, Infinity] -> 
  (-2*S[-1, Infinity]^7)/315 - (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1847*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (125921*S[7, Infinity])/7168 - (61*S[-5, 1, 1, Infinity])/14 + 
   (67*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (S[2, Infinity]^2/4 + S[-1, 1, 1, 1, Infinity]/3) + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((439*S[2, Infinity]^3)/672 + (4411*S[3, Infinity]^2)/
      896 - (20*S[-5, -1, Infinity])/7 + S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-3681*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/8 - 
     (481*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]) + 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 3, -1, Infinity] -> 
  (-13*S[-1, Infinity]^7)/2520 - (5*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (3169*S[2, Infinity]^2*S[3, Infinity])/2240 + (13479*S[7, Infinity])/896 - 
   (141*S[-5, 1, 1, Infinity])/28 + (26*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((7*S[2, Infinity]^2)/10 + S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-349*S[2, Infinity]^3)/336 + (3799*S[3, Infinity]^2)/
      896 - (99*S[-5, -1, Infinity])/28 + 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-681*S[5, Infinity])/56 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/16 - 
     (605*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]) - 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 2, 2, Infinity] -> 
  S[-1, Infinity]^7/210 - (13*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (8*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (13717*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (293555*S[7, Infinity])/3584 + (3*S[-5, 1, 1, Infinity])/7 - 
   (67*S[5, -1, -1, Infinity])/7 + 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((24639*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((85*S[2, Infinity]*S[3, Infinity])/32 + (1167*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((359*S[2, Infinity]^3)/1680 - (85*S[3, Infinity]^2)/224 - 
     (107*S[-5, -1, Infinity])/28 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   24*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 2, -2, Infinity] -> 
  S[-1, Infinity]^7/180 + (3*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (2203*S[2, Infinity]^2*S[3, Infinity])/448 - (36129*S[7, Infinity])/1792 + 
   (359*S[-5, 1, 1, Infinity])/28 - (3*S[5, -1, -1, Infinity])/7 - 
   11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^2*((-139*S[2, Infinity]*S[3, Infinity])/32 + 
     (785*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1149*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-2699*S[2, Infinity]^3)/840 - (2869*S[3, Infinity]^2)/
      224 + (60*S[-5, -1, Infinity])/7 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, 1, 3, Infinity] -> 
  -S[-1, Infinity]^7/280 + (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (341*S[2, Infinity]^2*S[3, Infinity])/560 + (163725*S[7, Infinity])/7168 - 
   (23*S[-5, 1, 1, Infinity])/14 + (73*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/32 - 
     (461*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-6547*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((293*S[2, Infinity]^3)/1120 + (327*S[3, Infinity]^2)/224 + 
     (3*S[-5, -1, Infinity])/28 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^7/252 + 
   (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (52*S[2, Infinity]^2*S[3, Infinity])/35 + 
   (179*S[2, Infinity]*S[5, Infinity])/56 - (14991*S[7, Infinity])/3584 - 
   (41*S[-5, 1, 1, Infinity])/14 - (13*S[5, -1, -1, Infinity])/14 + 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/16 - 
     (91*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((219*S[2, Infinity]^3)/560 + (687*S[3, Infinity]^2)/224 - 
     (33*S[-5, -1, Infinity])/28 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, 3, Infinity] -> 
  S[-1, Infinity]^7/252 + (13*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (4733*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (43935*S[7, Infinity])/1792 - (6*S[-5, 1, 1, Infinity])/7 + 
   (51*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-89*S[2, Infinity]^2)/240 - S[-1, 1, 1, 1, Infinity]/3) - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-31*S[2, Infinity]*S[3, Infinity])/32 - 
     (91*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-6851*S[5, Infinity])/896 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-229*S[2, Infinity]^3)/560 - (19*S[3, Infinity]^2)/28 + 
     (95*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -1, -3, Infinity] -> 
  (11*S[-1, Infinity]^7)/2520 - (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (801*S[2, Infinity]^2*S[3, Infinity])/2240 + (148191*S[7, Infinity])/
    7168 - (43*S[-5, 1, 1, Infinity])/14 + (103*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/10 - S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-7701*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/16 - 
     (461*S[5, Infinity])/128 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((83*S[2, Infinity]^3)/1120 + (117*S[3, Infinity]^2)/56 + 
     (33*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -2, 2, Infinity] -> -S[-1, Infinity]^7/180 + 
   (S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (71*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (2501*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (123545*S[7, Infinity])/3584 - (86*S[-5, 1, 1, Infinity])/7 + 
   (26*S[5, -1, -1, Infinity])/7 + 5*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    ((73*S[2, Infinity]*S[3, Infinity])/32 - (889*S[5, Infinity])/64 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-5583*S[5, Infinity])/896 + (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((643*S[2, Infinity]^3)/336 + (559*S[3, Infinity]^2)/56 - 
     (37*S[-5, -1, Infinity])/7 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -2, -2, Infinity] -> 
  -S[-1, Infinity]^7/210 - (S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (31*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (389*S[2, Infinity]^2*S[3, Infinity])/280 + (246235*S[7, Infinity])/3584 - 
   (111*S[-5, 1, 1, Infinity])/14 + (60*S[5, -1, -1, Infinity])/7 + 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-13989*S[5, Infinity])/448 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((29*S[2, Infinity]*S[3, Infinity])/32 - (115*S[5, Infinity])/8 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-79*S[2, Infinity]^3)/240 + (851*S[3, Infinity]^2)/112 - 
     (13*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   24*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 1, -3, 1, Infinity] -> 
  (-19*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (41*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (6179*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (25013*S[7, Infinity])/3584 + (33*S[-5, 1, 1, Infinity])/7 + 
   (12*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-11*S[2, Infinity]^2)/60 + S[-1, 1, 1, 1, Infinity]/3) - 
   (41*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-6605*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-41*S[2, Infinity]*S[3, Infinity])/32 + (371*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-2519*S[2, Infinity]^3)/1680 - (2017*S[3, Infinity]^2)/448 + 
     (125*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, -3, -1, Infinity] -> -S[-1, Infinity]^7/105 + 
   (23*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (145*S[2, Infinity]^2*S[3, Infinity])/56 - (115793*S[7, Infinity])/7168 - 
   S[-5, 1, 1, Infinity]/14 - (93*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-59*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/
      3) + (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((43*S[2, Infinity]*S[3, Infinity])/32 + 
     (201*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((4413*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((907*S[2, Infinity]^3)/672 - (23*S[3, Infinity]^2)/448 - 
     (9*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 3, 1, Infinity] -> 
  S[-1, Infinity]^7/2520 + (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (2949*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 + 
     (371*S[5, Infinity])/128) - (116903*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-671*S[2, Infinity]^3)/1680 - (25*S[3, Infinity]^2)/14 - 
     (51*S[-5, -1, Infinity])/28) + (89*S[-5, 1, 1, Infinity])/28 - 
   (32*S[5, -1, -1, Infinity])/7 + S[2, Infinity]*
    ((12025*S[5, Infinity])/896 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 3, -1, Infinity] -> 
  -S[-1, Infinity]^7/630 + (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (69*S[2, Infinity]^2*S[3, Infinity])/35 + 
   (5755*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/2 + 
     (201*S[5, Infinity])/64) - (27465*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((3139*S[2, Infinity]^3)/1680 - (13*S[3, Infinity]^2)/14 - 
     (20*S[-5, -1, Infinity])/7) + (15*S[-5, 1, 1, Infinity])/7 - 
   (41*S[5, -1, -1, Infinity])/7 + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 2, 2, Infinity] -> (13*S[-1, Infinity]^7)/1260 + 
   (S[-1, Infinity]^5*S[2, Infinity])/15 + (S[-1, Infinity]^4*S[3, Infinity])/
    8 - (4861*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (18631*S[7, Infinity])/224 - (50*S[-5, 1, 1, Infinity])/7 + 
   (76*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((-29*S[2, Infinity]^2)/240 - (2*S[-1, 1, 1, 1, Infinity])/3) - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/16 - 
     (889*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-11243*S[5, Infinity])/448 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((223*S[2, Infinity]^3)/336 + (559*S[3, Infinity]^2)/112 + 
     (13*S[-5, -1, Infinity])/7 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 2, -2, Infinity] -> 
  S[-1, Infinity]^7/90 - (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (129*S[2, Infinity]^2*S[3, Infinity])/560 + (241257*S[7, Infinity])/3584 - 
   (72*S[-5, 1, 1, Infinity])/7 + (115*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((53*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-403*S[5, Infinity])/14 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/8 - (115*S[5, Infinity])/8 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-4*S[2, Infinity]^3)/15 + (1097*S[3, Infinity]^2)/112 - 
     (9*S[-5, -1, Infinity])/7 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, 1, 3, Infinity] -> 
  -S[-1, Infinity]^7/126 + (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (3023*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (39439*S[7, Infinity])/3584 - (3*S[-5, 1, 1, Infinity])/28 - 
   (5*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    (S[2, Infinity]^2/240 + S[-1, 1, 1, 1, Infinity]/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 - 
     (15*S[5, Infinity])/16 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((205*S[5, Infinity])/112 - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-4*S[2, Infinity]^3)/7 + 
     (557*S[3, Infinity]^2)/448 - (5*S[-5, -1, Infinity])/14 + 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, 1, -3, Infinity] -> (-19*S[-1, Infinity]^7)/2520 - 
   (S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1171*S[2, Infinity]^2*S[3, Infinity])/448 + (91669*S[7, Infinity])/3584 + 
   (10*S[-5, 1, 1, Infinity])/7 + (24*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((3*S[2, Infinity]^2)/10 + S[-1, 1, 1, 1, Infinity]/3) - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-13637*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-9*S[2, Infinity]*S[3, Infinity])/32 - (399*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-459*S[2, Infinity]^3)/560 - (303*S[3, Infinity]^2)/448 + 
     (33*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -1, 3, Infinity] -> 
  S[-1, Infinity]^7/2520 - (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
   (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (1919*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/16 - 
     (399*S[5, Infinity])/128) - (7815*S[2, Infinity]*S[5, Infinity])/896 + 
   (67905*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((-347*S[2, Infinity]^3)/560 + (9*S[3, Infinity]^2)/14 + 
     S[-5, -1, Infinity]/28) + S[-5, 1, 1, Infinity]/28 + 
   (16*S[5, -1, -1, Infinity])/7 - 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -1, -3, Infinity] -> (-19*S[-1, Infinity]^3*S[2, Infinity]^2)/
    240 - (S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (11*S[2, Infinity]^2*S[3, Infinity])/20 + 
   S[-1, Infinity]*((-71*S[2, Infinity]^3)/112 + (11*S[3, Infinity]^2)/16) + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 - 
     (15*S[5, Infinity])/16) - (7*S[2, Infinity]*S[5, Infinity])/16 - 
   (189*S[7, Infinity])/64, S[-1, -1, -1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^7/90 + (S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (581*S[2, Infinity]^2*S[3, Infinity])/160 - (1363*S[7, Infinity])/64 + 
   (45*S[-5, 1, 1, Infinity])/4 - (7*S[5, -1, -1, Infinity])/2 + 
   S[-1, Infinity]^3*((-3*S[2, Infinity]^2)/10 + (2*S[-1, 1, 1, 1, Infinity])/
      3) - (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/8 + 
     (1167*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((915*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-713*S[2, Infinity]^3)/840 - (19*S[3, Infinity]^2)/2 + 
     (9*S[-5, -1, Infinity])/4 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -2, -2, Infinity] -> 
  (-13*S[-1, Infinity]^7)/1260 - (19*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (1423*S[2, Infinity]^2*S[3, Infinity])/224 - (5223*S[7, Infinity])/56 + 
   (50*S[-5, 1, 1, Infinity])/7 - (76*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/48 + (2*S[-1, 1, 1, 1, Infinity])/
      3) + 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((23739*S[5, Infinity])/896 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((25*S[2, Infinity]*S[3, Infinity])/16 + (785*S[5, Infinity])/64 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-583*S[2, Infinity]^3)/420 - (391*S[3, Infinity]^2)/112 - 
     (13*S[-5, -1, Infinity])/7 + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -1, -3, 1, Infinity] -> 
  S[-1, Infinity]^7/630 - (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1289*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/16 - 
     (481*S[5, Infinity])/64) - (5647*S[2, Infinity]*S[5, Infinity])/448 + 
   (14341*S[7, Infinity])/448 - (26*S[-5, 1, 1, Infinity])/7 + 
   (30*S[5, -1, -1, Infinity])/7 + 4*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((541*S[2, Infinity]^3)/1680 + 
     (29*S[3, Infinity]^2)/7 - (27*S[-5, -1, Infinity])/28 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, -1, -3, -1, Infinity] -> S[-1, Infinity]^7/360 - 
   (S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (471*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/2 - 
     (605*S[5, Infinity])/64) - (9059*S[2, Infinity]*S[5, Infinity])/448 + 
   (7753*S[7, Infinity])/224 - (22*S[-5, 1, 1, Infinity])/7 + 
   (48*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]*
    ((-559*S[2, Infinity]^3)/336 + (335*S[3, Infinity]^2)/112 - 
     (11*S[-5, -1, Infinity])/28 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, -2, 2, 1, Infinity] -> -S[-1, Infinity]^7/90 - 
   (S[-1, Infinity]^5*S[2, Infinity])/30 + (S[-1, Infinity]^4*S[3, Infinity])/
    12 + (3007*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (25303*S[2, Infinity]*S[5, Infinity])/896 - (8405*S[7, Infinity])/112 + 
   (115*S[-5, 1, 1, Infinity])/28 - (121*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/2 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/4 + 
     (1089*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((93*S[2, Infinity]^3)/280 - (667*S[3, Infinity]^2)/224 - 
     (109*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, 2, -1, Infinity] -> 
  (17*S[-1, Infinity]^7)/1260 - (4*S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (197*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (6121*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (274485*S[7, Infinity])/3584 + (8*S[-5, 1, 1, Infinity])/7 - 
   (159*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((99*S[2, Infinity]*S[3, Infinity])/16 + 
     (529*S[5, Infinity])/64 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((13399*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((43*S[2, Infinity]^3)/16 + (163*S[3, Infinity]^2)/224 - 
     (48*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, 1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (1207*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/16 - 
     (301*S[5, Infinity])/128) - (29283*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((-437*S[2, Infinity]^3)/1120 + (1667*S[3, Infinity]^2)/
      896 - (17*S[-5, -1, Infinity])/28) - (45*S[-5, 1, 1, Infinity])/28 + 
   (11*S[5, -1, -1, Infinity])/28 + S[2, Infinity]*
    ((-75*S[5, Infinity])/896 + (3*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -1, -2, 1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (1261*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-41*S[2, Infinity]*S[3, Infinity])/32 - 
     (197*S[5, Infinity])/64) + (42243*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-323*S[2, Infinity]^3)/280 - (493*S[3, Infinity]^2)/
      896 + (37*S[-5, -1, Infinity])/28) + (9*S[-5, 1, 1, Infinity])/28 + 
   (43*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((-1413*S[5, Infinity])/112 - 3*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, -2, -1, 2, Infinity] -> (-2*S[-1, Infinity]^7)/105 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (2853*S[2, Infinity]^2*S[3, Infinity])/560 + (811585*S[7, Infinity])/
    3584 - (685*S[-5, 1, 1, Infinity])/28 + (198*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-81021*S[5, Infinity])/896 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((15*S[2, Infinity]*S[3, Infinity])/8 - (5447*S[5, Infinity])/128 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((29*S[2, Infinity]^3)/40 + (2389*S[3, Infinity]^2)/112 + 
     (43*S[-5, -1, Infinity])/28 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, -1, -2, Infinity] -> 
  (19*S[-1, Infinity]^7)/630 - (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (827*S[2, Infinity]^2*S[3, Infinity])/70 + (140409*S[7, Infinity])/448 - 
   (206*S[-5, 1, 1, Infinity])/7 + (284*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((169*S[2, Infinity]^2)/120 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) - 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/4 - (3793*S[5, Infinity])/64 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-94709*S[5, Infinity])/896 + (29*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]*((2587*S[2, Infinity]^3)/560 + (771*S[3, Infinity]^2)/28 - 
     (24*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, -2, 1, Infinity] -> 
  -S[-1, Infinity]^7/126 - (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (5111*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (48617*S[7, Infinity])/7168 + (137*S[-5, 1, 1, Infinity])/28 - 
   (17*S[5, -1, -1, Infinity])/28 + S[-1, Infinity]^3*
    (S[2, Infinity]^2/6 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-423*S[5, Infinity])/224 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/32 + (95*S[5, Infinity])/64 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-493*S[2, Infinity]^3)/1120 - (1529*S[3, Infinity]^2)/448 + 
     (11*S[-5, -1, Infinity])/28 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -2, -2, -1, Infinity] -> 
  (-41*S[-1, Infinity]^7)/1260 + (7*S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (29*S[2, Infinity]^2*S[3, Infinity])/20 - (1511*S[7, Infinity])/64 + 
   8*S[-5, 1, 1, Infinity] - 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^3*((-157*S[2, Infinity]^2)/120 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[2, Infinity]*
    ((-115*S[5, Infinity])/32 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-45*S[2, Infinity]*S[3, Infinity])/8 + 
     (125*S[5, Infinity])/32 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-17*S[2, Infinity]^3)/4 - (467*S[3, Infinity]^2)/64 + 
     (7*S[-5, -1, Infinity])/2 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -3, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/630 + (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (9*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity]) - 
     (35*S[5, Infinity])/16) + (3729*S[7, Infinity])/1792 + 
   S[-5, 1, 1, Infinity]/14 + S[5, -1, -1, Infinity]/14 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((137*S[5, Infinity])/56 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((11*S[2, Infinity]^3)/40 - (19*S[3, Infinity]^2)/56 - 
     (33*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -3, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/120 + (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (2337*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (10383*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/16 + 
     (681*S[5, Infinity])/128) - (220341*S[7, Infinity])/7168 + 
   (22*S[-5, 1, 1, Infinity])/7 - (129*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-77*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-2343*S[2, Infinity]^3)/1120 - 
     (185*S[3, Infinity]^2)/56 + (53*S[-5, -1, Infinity])/28 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -3, -1, 1, Infinity] -> 
  (2*S[-1, Infinity]^7)/315 + (S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (2551*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (11871*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/16 + 
     (1301*S[5, Infinity])/128) - (130843*S[7, Infinity])/7168 + 
   (83*S[-5, 1, 1, Infinity])/14 - (121*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-27*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]/
      3) - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((1209*S[2, Infinity]^3)/1120 - (1121*S[3, Infinity]^2)/
      224 + (47*S[-5, -1, Infinity])/28 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, -3, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/120 + (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (103*S[2, Infinity]^2*S[3, Infinity])/70 + 
   (9269*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/4 + 
     (635*S[5, Infinity])/64) - (15065*S[7, Infinity])/448 + 
   (22*S[-5, 1, 1, Infinity])/7 - (48*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]*((467*S[2, Infinity]^3)/140 - (929*S[3, Infinity]^2)/224 - 
     (31*S[-5, -1, Infinity])/28 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 2, 1, 1, Infinity] -> -S[-1, Infinity]^7/63 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (367*S[2, Infinity]^2*S[3, Infinity])/80 - (13965*S[7, Infinity])/512 - 
   (17*S[-5, 1, 1, Infinity])/4 - 2*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/3 + (2*S[-1, 1, 1, 1, Infinity])/3) + 
   7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/8 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((511*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((209*S[2, Infinity]^3)/140 + (57*S[3, Infinity]^2)/16 - 
     2*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -2, 2, 1, -1, Infinity] -> -S[-1, Infinity]^7/36 + 
   (19*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (33*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (2249*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (1559*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-83*S[2, Infinity]*S[3, Infinity])/16 + 
     (589*S[5, Infinity])/128) - (33611*S[7, Infinity])/1792 + 
   (151*S[-5, 1, 1, Infinity])/28 + (9*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((-163*S[2, Infinity]^2)/80 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (71*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-1537*S[2, Infinity]^3)/280 - (3559*S[3, Infinity]^2)/
      448 + (107*S[-5, -1, Infinity])/14 - 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 2, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^7)/1260 + (S[-1, Infinity]^5*S[2, Infinity])/6 + 
   (59*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (8887*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (167019*S[7, Infinity])/3584 + (36*S[-5, 1, 1, Infinity])/7 + 
   (121*S[5, -1, -1, Infinity])/14 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-197*S[2, Infinity]*S[3, Infinity])/32 - 
     (589*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-21761*S[5, Infinity])/896 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-767*S[2, Infinity]^3)/280 - (1683*S[3, Infinity]^2)/448 + 
     (8*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 2, -1, -1, Infinity] -> 
  (8*S[-1, Infinity]^7)/315 - (S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (93*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (1807*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (180591*S[7, Infinity])/7168 - (27*S[-5, 1, 1, Infinity])/7 + 
   (137*S[5, -1, -1, Infinity])/28 + S[2, Infinity]*
    ((-6887*S[5, Infinity])/448 - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/16 - 
     (589*S[5, Infinity])/64 - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((1331*S[2, Infinity]^3)/1120 + (1311*S[3, Infinity]^2)/
      224 - (55*S[-5, -1, Infinity])/7 + 16*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, 2, 1, Infinity] -> 
  -(S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 + 
   (10811*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (655*S[2, Infinity]*S[5, Infinity])/56 - (201867*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((29*S[2, Infinity]^3)/32 + (2055*S[3, Infinity]^2)/896 - 
     (145*S[-5, -1, Infinity])/28) - (10*S[-5, 1, 1, Infinity])/7 - 
   (145*S[5, -1, -1, Infinity])/28 + 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity], S[-1, -2, 1, 2, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (65*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (191*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 + 
   (5741*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (7285*S[2, Infinity]*S[5, Infinity])/448 - (249357*S[7, Infinity])/7168 - 
   (155*S[-5, 1, 1, Infinity])/28 - (155*S[5, -1, -1, Infinity])/28 + 
   (65*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((4181*S[2, Infinity]^3)/1120 + (6655*S[3, Infinity]^2)/
      896 - (65*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, -2, 1, 1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 + 
   (129*S[2, Infinity]^2*S[3, Infinity])/2240 + (3933*S[7, Infinity])/896 - 
   (10*S[-5, 1, 1, Infinity])/7 + (15*S[5, -1, -1, Infinity])/14 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((1573*S[2, Infinity]^3)/1680 + (81*S[3, Infinity]^2)/
      112 + (15*S[-5, -1, Infinity])/14 + S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-369*S[5, Infinity])/224 - 
     S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, 1, 1, -2, Infinity] -> 
  (19*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (29*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (1127*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((-39*S[2, Infinity]*S[3, Infinity])/16 - 
     (155*S[5, Infinity])/32) + (13303*S[7, Infinity])/512 + 
   5*S[5, -1, -1, Infinity] - (29*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[-1, Infinity]*((-313*S[2, Infinity]^3)/120 - 
     (17*S[3, Infinity]^2)/16 + (5*S[-5, -1, Infinity])/2 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-923*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2), 
 S[-1, -2, 1, -1, 2, Infinity] -> S[-1, Infinity]^7/70 - 
   (23*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (71*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (1719*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/2 - 
     (2697*S[5, Infinity])/64) + (348381*S[7, Infinity])/1792 - 
   (150*S[-5, 1, 1, Infinity])/7 + (309*S[5, -1, -1, Infinity])/14 + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-56111*S[5, Infinity])/896 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((2123*S[2, Infinity]^3)/336 + (20017*S[3, Infinity]^2)/896 - 
     (153*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^7/105 - (S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (587*S[2, Infinity]^2*S[3, Infinity])/2240 + (23489*S[7, Infinity])/224 - 
   (99*S[-5, 1, 1, Infinity])/7 + (173*S[5, -1, -1, Infinity])/14 + 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-38579*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((39*S[2, Infinity]*S[3, Infinity])/32 - (3131*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((19*S[2, Infinity]^3)/24 + (11857*S[3, Infinity]^2)/896 - 
     (51*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, 1, -2, 1, Infinity] -> 
  (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (2521*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/32 - 
     (93*S[5, Infinity])/64) - (1189*S[2, Infinity]*S[5, Infinity])/448 + 
   (2085*S[7, Infinity])/448 + S[-1, Infinity]*((-103*S[2, Infinity]^3)/140 - 
     (265*S[3, Infinity]^2)/896 + (11*S[-5, -1, Infinity])/28) + 
   (11*S[-5, 1, 1, Infinity])/28 + (8*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8, 
 S[-1, -2, 1, -2, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/16 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (103*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (4805*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/32 + 
     (465*S[5, Infinity])/64) - (26745*S[7, Infinity])/1792 + 
   (55*S[-5, 1, 1, Infinity])/14 - (25*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((37*S[2, Infinity]^3)/112 - (4225*S[3, Infinity]^2)/896 + 
     (55*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[-1, -2, -1, 2, 1, Infinity] -> (-2*S[-1, Infinity]^7)/105 + 
   (17*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (21143*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (865281*S[7, Infinity])/3584 - (597*S[-5, 1, 1, Infinity])/28 + 
   (206*S[5, -1, -1, Infinity])/7 + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[2, Infinity]*((-22269*S[5, Infinity])/224 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((13*S[2, Infinity]*S[3, Infinity])/32 - (1209*S[5, Infinity])/32 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-61*S[2, Infinity]^3)/40 + (1753*S[3, Infinity]^2)/112 + 
     (243*S[-5, -1, Infinity])/28 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^7/15 + (9*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (473*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (4609*S[2, Infinity]^2*S[3, Infinity])/1120 + (4335*S[7, Infinity])/112 - 
   (9*S[-5, 1, 1, Infinity])/14 + (62*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-2241*S[5, Infinity])/448 + 
     16*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-67*S[2, Infinity]*S[3, Infinity])/16 + (775*S[5, Infinity])/64 + 
     16*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-65*S[2, Infinity]^3)/14 - (571*S[3, Infinity]^2)/56 + 
     (411*S[-5, -1, Infinity])/14 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -1, 1, 2, Infinity] -> -S[-1, Infinity]^7/70 + 
   (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (41*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
   (37*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1381*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((31*S[2, Infinity]*S[3, Infinity])/32 + 
     (2945*S[5, Infinity])/64) - (1665859*S[7, Infinity])/7168 + 
   (537*S[-5, 1, 1, Infinity])/28 - (793*S[5, -1, -1, Infinity])/28 + 
   (37*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((36389*S[5, Infinity])/448 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-14029*S[2, Infinity]^3)/3360 - (17581*S[3, Infinity]^2)/896 + 
     (215*S[-5, -1, Infinity])/28 + 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, 1, -2, Infinity] -> 
  S[-1, Infinity]^7/105 + (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (87*S[2, Infinity]^2*S[3, Infinity])/35 - (195743*S[7, Infinity])/1792 + 
   (81*S[-5, 1, 1, Infinity])/7 - (181*S[5, -1, -1, Infinity])/14 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity]) + 
     (2883*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((39817*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((121*S[2, Infinity]^3)/420 - (9061*S[3, Infinity]^2)/896 + 
     S[-5, -1, Infinity]/14 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, -1, 2, Infinity] -> 
  (2*S[-1, Infinity]^7)/105 - (11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (2829*S[2, Infinity]^2*S[3, Infinity])/320 - (230777*S[7, Infinity])/
    1024 + (65*S[-5, 1, 1, Infinity])/4 - (97*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/16 + 
     (2263*S[5, Infinity])/64 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((5237*S[5, Infinity])/64 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-2341*S[2, Infinity]^3)/3360 - (215*S[3, Infinity]^2)/16 - 
     (19*S[-5, -1, Infinity])/4 + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^7/35 + (59*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (463*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (3763*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-69*S[2, Infinity]*S[3, Infinity])/32 + 
     (1457*S[5, Infinity])/16) - (48327*S[7, Infinity])/112 + 
   (290*S[-5, 1, 1, Infinity])/7 - (368*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((135085*S[5, Infinity])/896 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((-2453*S[2, Infinity]^3)/240 - (2515*S[3, Infinity]^2)/56 + 
     (143*S[-5, -1, Infinity])/7 + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   192*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, -2, 1, Infinity] -> 
  S[-1, Infinity]^7/63 + (S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (S[-1, Infinity]^4*S[3, Infinity])/4 - 
   (3273*S[2, Infinity]^2*S[3, Infinity])/560 + (322439*S[7, Infinity])/
    3584 - (139*S[-5, 1, 1, Infinity])/28 + (86*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/3 - (4*S[-1, 1, 1, 1, Infinity])/3) - 
   6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-5655*S[5, Infinity])/224 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-39*S[2, Infinity]*S[3, Infinity])/16 - (341*S[5, Infinity])/64 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((297*S[2, Infinity]^3)/560 + (1367*S[3, Infinity]^2)/896 + 
     (225*S[-5, -1, Infinity])/28 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -1, -2, -1, Infinity] -> 
  (4*S[-1, Infinity]^7)/63 - (2*S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (4163*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-45*S[2, Infinity]*S[3, Infinity])/16 - 
     (527*S[5, Infinity])/8) - (6981*S[2, Infinity]*S[5, Infinity])/56 + 
   (147121*S[7, Infinity])/448 - (184*S[-5, 1, 1, Infinity])/7 + 
   (292*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((111*S[2, Infinity]^2)/40 - (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((257*S[2, Infinity]^3)/70 + (25247*S[3, Infinity]^2)/
      896 - (93*S[-5, -1, Infinity])/7 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/126 + (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (879*S[2, Infinity]^2*S[3, Infinity])/1120 - (259201*S[7, Infinity])/
    7168 + (45*S[-5, 1, 1, Infinity])/28 - (109*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/24 + (2*S[-1, 1, 1, 1, Infinity])/
      3) - (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((35*S[2, Infinity]*S[3, Infinity])/32 + 
     (31*S[5, Infinity])/16 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((6719*S[5, Infinity])/448 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((125*S[2, Infinity]^3)/224 - (177*S[3, Infinity]^2)/224 - 
     (81*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/252 + (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (863*S[2, Infinity]^2*S[3, Infinity])/2240 + (23407*S[7, Infinity])/1792 + 
   S[-5, 1, 1, Infinity]/28 + (9*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((33*S[2, Infinity]^2)/80 + (2*S[-1, 1, 1, 1, Infinity])/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-7325*S[5, Infinity])/896 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-41*S[2, Infinity]*S[3, Infinity])/32 - (713*S[5, Infinity])/128 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((8*S[2, Infinity]^3)/35 + (771*S[3, Infinity]^2)/448 - 
     (125*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -2, -1, 1, Infinity] -> 
  (-47*S[-1, Infinity]^7)/1260 - (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (2223*S[2, Infinity]^2*S[3, Infinity])/280 - (171153*S[7, Infinity])/
    3584 - (25*S[-5, 1, 1, Infinity])/7 - (99*S[5, -1, -1, Infinity])/14 + 
   14*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]^3*((-139*S[2, Infinity]^2)/240 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]*
    ((519*S[2, Infinity]^3)/280 + (3825*S[3, Infinity]^2)/896 - 
     (25*S[-5, -1, Infinity])/7 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((127*S[2, Infinity]*S[3, Infinity])/32 + (31*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((15889*S[5, Infinity])/896 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -2, -2, -1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^7)/630 - (13*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (17*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (327*S[2, Infinity]^2*S[3, Infinity])/40 + 
   (95*S[2, Infinity]*S[5, Infinity])/2 + S[-1, Infinity]^2*
    ((127*S[2, Infinity]*S[3, Infinity])/16 + (31*S[5, Infinity])/2) - 
   (7645*S[7, Infinity])/64 - 16*S[5, -1, -1, Infinity] + 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*((-13*S[2, Infinity]^2)/40 + 
     (4*S[-1, 1, 1, 1, Infinity])/3) + S[-1, Infinity]*
    ((261*S[2, Infinity]^3)/140 - (235*S[3, Infinity]^2)/128 + 
     10*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -3, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/126 + (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (97*S[2, Infinity]^2*S[3, Infinity])/35 + (66431*S[7, Infinity])/3584 + 
   (13*S[-5, 1, 1, Infinity])/7 + (19*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/6 - S[-1, 1, 1, 1, Infinity]/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/16 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-499*S[5, Infinity])/112 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-367*S[2, Infinity]^3)/1680 - (753*S[3, Infinity]^2)/
      448 + (19*S[-5, -1, Infinity])/14 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -3, 1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^7)/840 - (19*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (8*S[2, Infinity]^2*S[3, Infinity])/7 + 
   (813*S[2, Infinity]*S[5, Infinity])/224 + S[-1, Infinity]^2*
    ((23*S[2, Infinity]*S[3, Infinity])/16 + (31*S[5, Infinity])/16) - 
   (1591*S[7, Infinity])/3584 + (11*S[-5, 1, 1, Infinity])/14 - 
   (17*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-4*S[2, Infinity]^2)/15 - S[-1, 1, 1, 1, Infinity]/3) + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((3239*S[2, Infinity]^3)/1680 - (153*S[3, Infinity]^2)/
      448 + (2*S[-5, -1, Infinity])/7 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -3, 1, -1, 1, Infinity] -> (-7*S[-1, Infinity]^7)/360 + 
   (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (31*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (103*S[2, Infinity]^2*S[3, Infinity])/35 - (304749*S[7, Infinity])/7168 + 
   (16*S[-5, 1, 1, Infinity])/7 - (125*S[5, -1, -1, Infinity])/28 + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((10637*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/16 + (1023*S[5, Infinity])/128 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-193*S[2, Infinity]^3)/96 - (1217*S[3, Infinity]^2)/448 + 
     (71*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -3, 1, -1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^7)/1260 + (11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (169*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (9*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (32*S[2, Infinity]^2*S[3, Infinity])/35 + (202523*S[7, Infinity])/7168 - 
   (24*S[-5, 1, 1, Infinity])/7 + (107*S[5, -1, -1, Infinity])/28 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-2511*S[5, Infinity])/224 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/32 - (217*S[5, Infinity])/32 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    (-S[2, Infinity]^3/672 + (1983*S[3, Infinity]^2)/448 - 
     (89*S[-5, -1, Infinity])/28 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -3, -1, 1, 1, Infinity] -> S[-1, Infinity]^7/35 - 
   (41*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (93*S[2, Infinity]^2*S[3, Infinity])/80 - (27809*S[7, Infinity])/1024 + 
   3*S[-5, 1, 1, Infinity] - (17*S[5, -1, -1, Infinity])/4 + 
   S[-1, Infinity]^3*((13*S[2, Infinity]^2)/15 - (2*S[-1, 1, 1, 1, Infinity])/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/8 + 
     (589*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1937*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((5479*S[2, Infinity]^3)/3360 - (67*S[3, Infinity]^2)/64 - 
     (19*S[-5, -1, Infinity])/4 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -3, -1, 1, -1, Infinity] -> 
  (83*S[-1, Infinity]^7)/2520 - (7*S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (345*S[2, Infinity]^2*S[3, Infinity])/224 + (29501*S[7, Infinity])/1792 - 
   (61*S[-5, 1, 1, Infinity])/14 - (5*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((551*S[2, Infinity]^2)/240 - 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/8 - 
     (651*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-2407*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((901*S[2, Infinity]^3)/336 + (3651*S[3, Infinity]^2)/448 - 
     (339*S[-5, -1, Infinity])/28 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -3, -1, -1, 1, Infinity] -> 
  (37*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (67*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (559*S[2, Infinity]^2*S[3, Infinity])/560 - (130843*S[7, Infinity])/7168 + 
   (83*S[-5, 1, 1, Infinity])/14 - (121*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-16*S[2, Infinity]^2)/15 - S[-1, 1, 1, 1, Infinity]/
      3) - (67*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-67*S[2, Infinity]*S[3, Infinity])/32 + 
     (31*S[5, Infinity])/4 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2427*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-6047*S[2, Infinity]^3)/3360 - 
     (1667*S[3, Infinity]^2)/224 + (145*S[-5, -1, Infinity])/28 - 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -3, -1, -1, -1, Infinity] -> S[-1, Infinity]^7/45 - 
   (S[-1, Infinity]^5*S[2, Infinity])/6 - (S[-1, Infinity]^4*S[3, Infinity])/
    48 + (2243*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (2291*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/8 + 
     (155*S[5, Infinity])/16) - (15065*S[7, Infinity])/448 + 
   (22*S[-5, 1, 1, Infinity])/7 - (48*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-13*S[2, Infinity]^2)/24 - S[-1, 1, 1, 1, Infinity]/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((2363*S[2, Infinity]^3)/1680 - (887*S[3, Infinity]^2)/
      224 + (67*S[-5, -1, Infinity])/28 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, 1, 1, 1, Infinity] -> -S[-1, Infinity]^7/63 + 
   (2*S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (1627*S[2, Infinity]^2*S[3, Infinity])/560 + (35281*S[7, Infinity])/1792 + 
   (13*S[-5, 1, 1, Infinity])/28 + (19*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/3 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/4 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1145*S[5, Infinity])/112 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-19*S[2, Infinity]^3)/40 - (515*S[3, Infinity]^2)/224 + 
     (19*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 2, 1, 1, -1, Infinity] -> (-17*S[-1, Infinity]^7)/1260 + 
   (11*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (19*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (23*S[2, Infinity]^2*S[3, Infinity])/70 + (48575*S[7, Infinity])/7168 + 
   (31*S[-5, 1, 1, Infinity])/28 + (3*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-19*S[2, Infinity]^2)/30 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((87*S[2, Infinity]^3)/1120 - (155*S[3, Infinity]^2)/112 + 
     (31*S[-5, -1, Infinity])/28 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-3677*S[5, Infinity])/896 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-67*S[2, Infinity]*S[3, Infinity])/32 + (403*S[5, Infinity])/128 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 2, 1, -1, 1, Infinity] -> (-8*S[-1, Infinity]^7)/315 - 
   (5*S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (91*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (21307*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*(5*S[2, Infinity]*S[3, Infinity] + 
     (279*S[5, Infinity])/128) - (126221*S[7, Infinity])/1792 - 
   (157*S[-5, 1, 1, Infinity])/28 - (55*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((97*S[2, Infinity]^2)/120 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 
   (119*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((37*S[2, Infinity]^3)/560 + (417*S[3, Infinity]^2)/56 - 
     (157*S[-5, -1, Infinity])/28 + 
     (13*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((19273*S[5, Infinity])/896 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) - 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 2, 1, -1, -1, Infinity] -> -S[-1, Infinity]^7/36 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (409*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (15737*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((27*S[2, Infinity]*S[3, Infinity])/8 + 
     (589*S[5, Infinity])/128) - (54195*S[7, Infinity])/896 - 
   (33*S[-5, 1, 1, Infinity])/28 - (83*S[5, -1, -1, Infinity])/14 + 
   S[-1, Infinity]^3*((23*S[2, Infinity]^2)/20 + (2*S[-1, 1, 1, 1, Infinity])/
      3) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-331*S[2, Infinity]^3)/280 - (2033*S[3, Infinity]^2)/
      896 - (19*S[-5, -1, Infinity])/28 + 
     (13*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 2, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/1260 + (S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (8*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
   (31*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (21317*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((75*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/32) - (226581*S[7, Infinity])/3584 - 
   (123*S[-5, 1, 1, Infinity])/14 - (109*S[5, -1, -1, Infinity])/14 + 
   (59*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((19*S[2, Infinity]^3)/5 + (887*S[3, Infinity]^2)/112 - 
     (123*S[-5, -1, Infinity])/14 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((3839*S[5, Infinity])/112 + 
     9*S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^7/315 - 
   (13*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (403*S[2, Infinity]^2*S[3, Infinity])/140 + 
   (11437*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/4 + 
     (279*S[5, Infinity])/64) - (222305*S[7, Infinity])/3584 - 
   (29*S[-5, 1, 1, Infinity])/7 - (121*S[5, -1, -1, Infinity])/14 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((961*S[2, Infinity]^3)/560 + (615*S[3, Infinity]^2)/896 - 
     (36*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 2, -1, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^7)/1260 - (S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (77*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (71*S[2, Infinity]^2*S[3, Infinity])/35 + (182159*S[7, Infinity])/7168 + 
   S[-5, 1, 1, Infinity]/7 + (25*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((17*S[2, Infinity]*S[3, Infinity])/32 - 
     (31*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-2805*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((3957*S[2, Infinity]^3)/1120 + (417*S[3, Infinity]^2)/448 - 
     (87*S[-5, -1, Infinity])/28 + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 2, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/90 + (7*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
   (S[-1, Infinity]^4*S[3, Infinity])/4 - 
   (1851*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (171473*S[7, Infinity])/3584 - (22*S[-5, 1, 1, Infinity])/7 + 
   (75*S[5, -1, -1, Infinity])/14 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((2701*S[2, Infinity]^3)/560 + (171*S[3, Infinity]^2)/56 - 
     (22*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/8 - (31*S[5, Infinity])/4 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-457*S[5, Infinity])/112 + 10*S[-1, 1, 1, 1, 1, Infinity]) + 
   28*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 2, 1, 1, Infinity] -> 
  (729*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (4171*S[2, Infinity]*S[5, Infinity])/448 - (104865*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((53*S[2, Infinity]^3)/160 - (477*S[3, Infinity]^2)/896 - 
     (53*S[-5, -1, Infinity])/28) + (13*S[-5, 1, 1, Infinity])/7 - 
   (53*S[5, -1, -1, Infinity])/28, S[-2, 1, 2, 1, -1, Infinity] -> 
  (9*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (207*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (1023*S[-1, Infinity]^2*S[5, Infinity])/128 + 
   (65271*S[7, Infinity])/3584 - (27*S[-5, 1, 1, Infinity])/14 + 
   (18*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]*
    ((9*S[2, Infinity]^3)/35 + (135*S[3, Infinity]^2)/56 - 
     (27*S[-5, -1, Infinity])/14 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-2085*S[5, Infinity])/896 + 
     9*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 2, -1, 1, Infinity] -> 
  (3*S[-1, Infinity]^5*S[2, Infinity])/16 - 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (43*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (25*S[2, Infinity]^2*S[3, Infinity])/7 + S[-1, Infinity]^2*
    ((-169*S[2, Infinity]*S[3, Infinity])/32 + (93*S[5, Infinity])/128) - 
   (12469*S[2, Infinity]*S[5, Infinity])/896 + (109341*S[7, Infinity])/3584 + 
   (115*S[-5, 1, 1, Infinity])/28 + (47*S[5, -1, -1, Infinity])/14 - 
   (43*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-1163*S[2, Infinity]^3)/560 - (575*S[3, Infinity]^2)/
      112 + (115*S[-5, -1, Infinity])/28 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[-2, 1, 2, -1, -1, Infinity] -> (3*S[-1, Infinity]^5*S[2, Infinity])/16 - 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (127*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 - 
   (331*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (3995*S[2, Infinity]*S[5, Infinity])/448 + (138897*S[7, Infinity])/7168 + 
   (85*S[-5, 1, 1, Infinity])/28 + (85*S[5, -1, -1, Infinity])/28 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-2137*S[2, Infinity]^3)/1120 - 
     (565*S[3, Infinity]^2)/896 + (53*S[-5, -1, Infinity])/14 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[-2, 1, 1, 2, 1, Infinity] -> (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 - 
   (3993*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (1079*S[2, Infinity]*S[5, Infinity])/112 + (68219*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-17*S[2, Infinity]^3)/40 + (61*S[3, Infinity]^2)/448 + 
     (17*S[-5, -1, Infinity])/7) - S[-5, 1, 1, Infinity]/14 + 
   (17*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8, 
 S[-2, 1, 1, 2, -1, Infinity] -> (-3*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (373*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/32 + 
     (155*S[5, Infinity])/32) - (19923*S[7, Infinity])/7168 + 
   (65*S[-5, 1, 1, Infinity])/28 - (5*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-629*S[2, Infinity]^3)/1120 - (601*S[3, Infinity]^2)/
      224 + (65*S[-5, -1, Infinity])/28 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1333*S[5, Infinity])/448 - 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, 1, 1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (15*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 - 
   (91*S[2, Infinity]^2*S[3, Infinity])/160 + (1231*S[7, Infinity])/1024 + 
   S[-5, 1, 1, Infinity]/4 + S[5, -1, -1, Infinity]/4 - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/160 - (103*S[3, Infinity]^2)/128 + 
     S[-5, -1, Infinity]/4 - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-15*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/2), 
 S[-2, 1, 1, 1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 + 
   (43*S[2, Infinity]^2*S[3, Infinity])/32 - (883*S[7, Infinity])/128 - 
   S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/40 + (73*S[3, Infinity]^2)/64 - 
     S[-5, -1, Infinity] - (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((55*S[5, Infinity])/16 + S[-1, 1, 1, 1, 1, Infinity]/2), 
 S[-2, 1, 1, -1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/48 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (1777*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((31*S[2, Infinity]*S[3, Infinity])/16 + 
     (403*S[5, Infinity])/128) - (69525*S[7, Infinity])/3584 + 
   (25*S[-5, 1, 1, Infinity])/28 - (33*S[5, -1, -1, Infinity])/14 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((543*S[2, Infinity]^3)/280 - (223*S[3, Infinity]^2)/112 + 
     (25*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((13687*S[5, Infinity])/896 + 
     5*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 1, -1, -2, Infinity] -> 
  S[-1, Infinity]^7/210 - (3*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (73*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (713*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/16 - 
     (837*S[5, Infinity])/128) + (190961*S[7, Infinity])/3584 - 
   (81*S[-5, 1, 1, Infinity])/28 + (27*S[5, -1, -1, Infinity])/7 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-10761*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((897*S[2, Infinity]^3)/280 + 
     (2533*S[3, Infinity]^2)/896 - (29*S[-5, -1, Infinity])/7 - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, 1, -2, 1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (37*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 + 
   (235*S[2, Infinity]^2*S[3, Infinity])/64 - (6001*S[7, Infinity])/256 - 
   3*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] + 
   (37*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((21*S[2, Infinity]^3)/40 + (205*S[3, Infinity]^2)/64 - 
     3*S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((69*S[5, Infinity])/8 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2), S[-2, 1, 1, -2, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (1457*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((93*S[2, Infinity]*S[3, Infinity])/32 - 
     (155*S[5, Infinity])/32) - (135*S[2, Infinity]*S[5, Infinity])/112 - 
   (10639*S[7, Infinity])/3584 - (65*S[-5, 1, 1, Infinity])/14 + 
   (5*S[5, -1, -1, Infinity])/14 + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((297*S[2, Infinity]^3)/560 + (2841*S[3, Infinity]^2)/
      896 - (15*S[-5, -1, Infinity])/7 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-2, 1, -1, 2, 1, Infinity] -> 
  (11*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (5401*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-77*S[2, Infinity]*S[3, Infinity])/32 - 
     (93*S[5, Infinity])/64) + (224111*S[7, Infinity])/7168 + 
   (65*S[-5, 1, 1, Infinity])/28 + (107*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((547*S[2, Infinity]^3)/1120 - (325*S[3, Infinity]^2)/
      112 + (65*S[-5, -1, Infinity])/28 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-8315*S[5, Infinity])/896 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, -1, 2, -1, Infinity] -> 
  S[-1, Infinity]^7/70 - (S[-1, Infinity]^5*S[2, Infinity])/10 + 
   (151*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (12547*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-35*S[2, Infinity]*S[3, Infinity])/8 - 
     (3379*S[5, Infinity])/64) - (46635*S[2, Infinity]*S[5, Infinity])/448 + 
   (119155*S[7, Infinity])/448 - (275*S[-5, 1, 1, Infinity])/14 + 
   (244*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((165*S[2, Infinity]^3)/112 + (21475*S[3, Infinity]^2)/
      896 - (249*S[-5, -1, Infinity])/28 - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, 1, 2, Infinity] -> 
  (-43*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (141*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/32 - 
     (527*S[5, Infinity])/64) + (12617*S[7, Infinity])/512 - 
   4*S[-5, 1, 1, Infinity] + (9*S[5, -1, -1, Infinity])/2 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-31*S[2, Infinity]^3)/40 + 5*S[3, Infinity]^2 - 
     4*S[-5, -1, Infinity] + (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-2065*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -1, 1, -2, Infinity] -> -S[-1, Infinity]^7/105 + 
   (7*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (161*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (10203*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/32 + 
     (1519*S[5, Infinity])/64) - (236563*S[7, Infinity])/1792 + 
   (73*S[-5, 1, 1, Infinity])/7 - (197*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((1125*S[5, Infinity])/28 - (5*S[-1, 1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]*((-2701*S[2, Infinity]^3)/560 - 
     (653*S[3, Infinity]^2)/56 + (111*S[-5, -1, Infinity])/14 + 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^7/70 + (19*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (61*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (8949*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-33*S[2, Infinity]*S[3, Infinity])/32 + 
     (4557*S[5, Infinity])/128) - (1253155*S[7, Infinity])/7168 + 
   (267*S[-5, 1, 1, Infinity])/14 - (495*S[5, -1, -1, Infinity])/28 - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((49309*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[-1, Infinity]*((-8219*S[2, Infinity]^3)/1120 - 
     (1935*S[3, Infinity]^2)/112 + (387*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, -1, -2, Infinity] -> 
  (-29*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (65*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
   (9*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (5619*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/16 - 
     (1023*S[5, Infinity])/128) + (18511*S[7, Infinity])/896 - 
   (153*S[-5, 1, 1, Infinity])/28 + (39*S[5, -1, -1, Infinity])/14 + 
   (27*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-419*S[2, Infinity]^3)/280 + (765*S[3, Infinity]^2)/
      112 - (153*S[-5, -1, Infinity])/28 + 
     (15*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-21437*S[5, Infinity])/896 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/2), S[-2, 1, -1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^7/105 + (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (9873*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (229273*S[7, Infinity])/1792 - (211*S[-5, 1, 1, Infinity])/14 + 
   (129*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-50527*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/32 - (3999*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-289*S[2, Infinity]^3)/112 + (2813*S[3, Infinity]^2)/224 + 
     (47*S[-5, -1, Infinity])/28 - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, 1, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^7/42 + (3*S[-1, Infinity]^5*S[2, Infinity])/16 - 
   (583*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (2515*S[2, Infinity]^2*S[3, Infinity])/448 - (54471*S[7, Infinity])/448 + 
   S[-1, Infinity]*((-1361*S[2, Infinity]^3)/280 - (775*S[3, Infinity]^2)/
      56 + (155*S[-5, -1, Infinity])/14) + (155*S[-5, 1, 1, Infinity])/14 - 
   (115*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((35813*S[5, Infinity])/896 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/32 + (3565*S[5, Infinity])/128 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) - 48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, 1, -2, 1, 1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 + 
   (21*S[2, Infinity]^2*S[3, Infinity])/320 + (3*S[7, Infinity])/128 + 
   (3*S[-1, Infinity]*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-75*S[5, Infinity])/64 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      2), S[-2, 1, -2, 1, -1, Infinity] -> 
  (-69*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (93*S[-1, Infinity]^2*S[5, Infinity])/128 - 
   (1149*S[2, Infinity]*S[5, Infinity])/896 + (1737*S[7, Infinity])/896 + 
   S[-1, Infinity]*((3*S[2, Infinity]^3)/80 + (27*S[3, Infinity]^2)/224 + 
     (3*S[-5, -1, Infinity])/7) - (9*S[-5, 1, 1, Infinity])/28 + 
   (3*S[5, -1, -1, Infinity])/7, S[-2, 1, -2, -1, 1, Infinity] -> 
  (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (5*S[2, Infinity]^2*S[3, Infinity])/56 + 
   (8959*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/8 + 
     (1023*S[5, Infinity])/128) - (26745*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((145*S[2, Infinity]^3)/112 - (785*S[3, Infinity]^2)/224 + 
     (5*S[-5, -1, Infinity])/28) + (55*S[-5, 1, 1, Infinity])/14 - 
   (25*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-2, 1, -2, -1, -1, Infinity] -> (-3*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (43*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 - 
   (479*S[2, Infinity]^2*S[3, Infinity])/448 + (2085*S[7, Infinity])/448 + 
   S[-1, Infinity]*((659*S[2, Infinity]^3)/560 - (55*S[3, Infinity]^2)/112 + 
     (11*S[-5, -1, Infinity])/28) + (11*S[-5, 1, 1, Infinity])/28 + 
   (8*S[5, -1, -1, Infinity])/7 - (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[2, Infinity]*((445*S[5, Infinity])/224 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2), S[-2, -1, 2, 1, 1, Infinity] -> 
  (-11*S[-1, Infinity]^5*S[2, Infinity])/80 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (41*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/32 + 
   (4241*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (192819*S[7, Infinity])/7168 - (41*S[-5, 1, 1, Infinity])/28 - 
   (41*S[5, -1, -1, Infinity])/28 - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    8 + S[-1, Infinity]*((-1543*S[2, Infinity]^3)/1120 + 
     (205*S[3, Infinity]^2)/112 - (41*S[-5, -1, Infinity])/28 + 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((2153*S[5, Infinity])/896 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/70 - (9*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (211*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (527*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^2*((19*S[2, Infinity]*S[3, Infinity])/8 - 
     (5301*S[5, Infinity])/128) - (50453*S[2, Infinity]*S[5, Infinity])/896 + 
   (625515*S[7, Infinity])/3584 - (673*S[-5, 1, 1, Infinity])/28 + 
   (131*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((3533*S[2, Infinity]^3)/560 + (4945*S[3, Infinity]^2)/
      224 - (421*S[-5, -1, Infinity])/28 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^7/30 - (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (253*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (141*S[2, Infinity]^2*S[3, Infinity])/35 - (6375*S[7, Infinity])/112 - 
   (65*S[-5, 1, 1, Infinity])/14 - (78*S[5, -1, -1, Infinity])/7 + 
   5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((20613*S[5, Infinity])/896 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((229*S[2, Infinity]*S[3, Infinity])/32 + (2077*S[5, Infinity])/128 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((223*S[2, Infinity]^3)/560 - (2923*S[3, Infinity]^2)/448 + 
     (69*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]), S[-2, -1, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^7/21 - (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (253*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (27183*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (1844307*S[7, Infinity])/7168 + (283*S[-5, 1, 1, Infinity])/14 - 
   (897*S[5, -1, -1, Infinity])/28 + 5*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*
    ((-7303*S[2, Infinity]^3)/1120 - (1415*S[3, Infinity]^2)/56 + 
     (283*S[-5, -1, Infinity])/14 + 12*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((37049*S[5, Infinity])/448 - 16*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((83*S[2, Infinity]*S[3, Infinity])/16 + 
     (3875*S[5, Infinity])/64 + 8*S[-1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, 2, 1, Infinity] -> 
  (13*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (79*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (12113*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-37*S[2, Infinity]*S[3, Infinity])/8 + 
     (93*S[5, Infinity])/64) + (120229*S[7, Infinity])/3584 + 
   (83*S[-5, 1, 1, Infinity])/14 + (31*S[5, -1, -1, Infinity])/7 - 
   (79*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-1019*S[2, Infinity]^3)/560 - (415*S[3, Infinity]^2)/
      56 + (83*S[-5, -1, Infinity])/14 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-11131*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^7/70 + (43*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (361*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (1437*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (9109*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((-155*S[2, Infinity]*S[3, Infinity])/32 + 
     (3379*S[5, Infinity])/64) - (1546925*S[7, Infinity])/7168 + 
   (767*S[-5, 1, 1, Infinity])/28 - (759*S[5, -1, -1, Infinity])/28 - 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-6763*S[2, Infinity]^3)/1120 - 
     (24989*S[3, Infinity]^2)/896 + (275*S[-5, -1, Infinity])/14 - 
     (21*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, 1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (151*S[2, Infinity]^2*S[3, Infinity])/70 + 
   S[-1, Infinity]^2*((29*S[2, Infinity]*S[3, Infinity])/32 + 
     (651*S[5, Infinity])/128) - (244485*S[7, Infinity])/7168 + 
   (17*S[-5, 1, 1, Infinity])/14 - (113*S[5, -1, -1, Infinity])/28 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-257*S[2, Infinity]^3)/224 - (85*S[3, Infinity]^2)/56 + 
     (17*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((10783*S[5, Infinity])/896 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^7/210 - (13*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (16*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (921*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/16 - 
     (961*S[5, Infinity])/128) + (154391*S[7, Infinity])/3584 - 
   (157*S[-5, 1, 1, Infinity])/28 + (15*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-5843*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((279*S[2, Infinity]^3)/56 + (4299*S[3, Infinity]^2)/896 - 
     (48*S[-5, -1, Infinity])/7 + (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, -1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (397*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/4 - 
     (217*S[5, Infinity])/64) + (43331*S[7, Infinity])/1792 + 
   (5*S[-5, 1, 1, Infinity])/7 + (59*S[5, -1, -1, Infinity])/14 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-249*S[2, Infinity]^3)/140 + (2287*S[3, Infinity]^2)/
      896 + (5*S[-5, -1, Infinity])/7 - 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-10959*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]/
      2), S[-2, -1, 1, -1, -2, Infinity] -> 
  (13*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (23*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (23*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (2363*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-31*S[2, Infinity]*S[3, Infinity])/16 + 
     (341*S[5, Infinity])/64) - (65*S[7, Infinity])/224 + 
   (32*S[-5, 1, 1, Infinity])/7 - (13*S[5, -1, -1, Infinity])/14 - 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-51*S[2, Infinity]^3)/112 - (40*S[3, Infinity]^2)/7 + 
     (32*S[-5, -1, Infinity])/7 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((2829*S[5, Infinity])/896 + 
     S[-1, 1, 1, 1, 1, Infinity]/2), S[-2, -1, 1, -2, 1, Infinity] -> 
  S[-1, Infinity]^7/105 - (S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (2263*S[2, Infinity]^2*S[3, Infinity])/448 - (54471*S[7, Infinity])/448 + 
   (155*S[-5, 1, 1, Infinity])/14 - (115*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/8 + 
     (3255*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((45095*S[5, Infinity])/896 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((587*S[2, Infinity]^3)/280 - (1945*S[3, Infinity]^2)/224 - 
     (75*S[-5, -1, Infinity])/28 + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^7/42 - (S[-1, Infinity]^5*S[2, Infinity])/4 + 
   (673*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (11133*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (229273*S[7, Infinity])/1792 - (211*S[-5, 1, 1, Infinity])/14 + 
   (129*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((2169*S[2, Infinity]^3)/560 + (1055*S[3, Infinity]^2)/
      56 - (211*S[-5, -1, Infinity])/14 + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/8 - 
     (4309*S[5, Infinity])/128 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-20465*S[5, Infinity])/448 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   48*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, 2, 1, Infinity] -> 
  (2*S[-1, Infinity]^7)/105 - (17*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (12949*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (1506479*S[7, Infinity])/7168 + (655*S[-5, 1, 1, Infinity])/28 - 
   (759*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity]) + 
     (2883*S[5, Infinity])/64 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((9529*S[5, Infinity])/112 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((2003*S[2, Infinity]^3)/1120 - (4219*S[3, Infinity]^2)/224 - 
     (73*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, 2, -1, Infinity] -> 
  S[-1, Infinity]^7/21 - (S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (313*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (12393*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (28233*S[7, Infinity])/112 - (247*S[-5, 1, 1, Infinity])/14 + 
   (230*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((163*S[2, Infinity]^3)/28 + (5087*S[3, Infinity]^2)/224 - 
     (247*S[-5, -1, Infinity])/14 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-79*S[2, Infinity]*S[3, Infinity])/16 - (3379*S[5, Infinity])/64 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-40559*S[5, Infinity])/448 + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, 1, 2, Infinity] -> 
  S[-1, Infinity]^7/70 - (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (179*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (19*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (10147*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/8 - 
     (4371*S[5, Infinity])/128) + (627217*S[7, Infinity])/3584 - 
   (509*S[-5, 1, 1, Infinity])/28 + (239*S[5, -1, -1, Infinity])/14 + 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-49377*S[5, Infinity])/896 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((1011*S[2, Infinity]^3)/140 + (7093*S[3, Infinity]^2)/448 - 
     (181*S[-5, -1, Infinity])/14 - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   96*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, 1, -2, Infinity] -> 
  (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (37*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (739*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/8 + 
     (837*S[5, Infinity])/128) - (29219*S[7, Infinity])/896 + 
   (79*S[-5, 1, 1, Infinity])/28 - (55*S[5, -1, -1, Infinity])/14 - 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((543*S[2, Infinity]^3)/560 - (1727*S[3, Infinity]^2)/
      448 + (79*S[-5, -1, Infinity])/28 - 
     (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((22695*S[5, Infinity])/896 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2), S[-2, -1, -1, -1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (10709*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((45*S[2, Infinity]*S[3, Infinity])/16 + 
     (155*S[5, Infinity])/16) - (453623*S[7, Infinity])/7168 + 
   S[-1, Infinity]*((265*S[2, Infinity]^3)/224 - (419*S[3, Infinity]^2)/112 + 
     (25*S[-5, -1, Infinity])/28) + (25*S[-5, 1, 1, Infinity])/28 - 
   (255*S[5, -1, -1, Infinity])/28 + S[2, Infinity]*
    ((1625*S[5, Infinity])/56 - 3*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -1, -1, -2, Infinity] -> (2*S[-1, Infinity]^7)/105 - 
   (7*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (287*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (2603*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((27*S[2, Infinity]*S[3, Infinity])/32 - 
     (775*S[5, Infinity])/16) + (29003*S[7, Infinity])/112 - 
   (162*S[-5, 1, 1, Infinity])/7 + (188*S[5, -1, -1, Infinity])/7 + 
   S[2, Infinity]*((-72291*S[5, Infinity])/896 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]*
    ((5381*S[2, Infinity]^3)/560 + (157*S[3, Infinity]^2)/7 - 
     (106*S[-5, -1, Infinity])/7 - 32*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -1, -2, 1, Infinity] -> 
  (-3*S[-1, Infinity]^5*S[2, Infinity])/16 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1667*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((113*S[2, Infinity]*S[3, Infinity])/32 + 
     (93*S[5, Infinity])/32) - (224447*S[7, Infinity])/3584 - 
   (65*S[-5, 1, 1, Infinity])/14 - (107*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-221*S[2, Infinity]^3)/280 + (1865*S[3, Infinity]^2)/
      448 - (65*S[-5, -1, Infinity])/14 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((18079*S[5, Infinity])/896 - (15*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, -1, -1, -2, -1, Infinity] -> -S[-1, Infinity]^7/35 - 
   (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (91*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (6177*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (5973*S[2, Infinity]*S[5, Infinity])/28 + S[-1, Infinity]^2*
    ((151*S[2, Infinity]*S[3, Infinity])/16 + (217*S[5, Infinity])/2) - 
   (30223*S[7, Infinity])/56 + (284*S[-5, 1, 1, Infinity])/7 - 
   (500*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-159*S[2, Infinity]^3)/140 - (41261*S[3, Infinity]^2)/
      896 + (102*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   192*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/63 - (17*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (13*S[2, Infinity]^2*S[3, Infinity])/80 + (31133*S[7, Infinity])/512 - 
   (17*S[-5, 1, 1, Infinity])/4 + 5*S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*(-S[2, Infinity]^2/24 - (4*S[-1, 1, 1, 1, Infinity])/
      3) + (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-1687*S[5, Infinity])/64 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/16 + (155*S[5, Infinity])/64 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    (-S[2, Infinity]^3/56 + (323*S[3, Infinity]^2)/128 + 
     (25*S[-5, -1, Infinity])/4 + (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^7/630 + (11*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (863*S[2, Infinity]^2*S[3, Infinity])/280 - (125611*S[7, Infinity])/896 + 
   (185*S[-5, 1, 1, Infinity])/14 - (107*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((-323*S[2, Infinity]^2)/240 - 
     (4*S[-1, 1, 1, 1, Infinity])/3) - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1329*S[2, Infinity]^3)/560 - (925*S[3, Infinity]^2)/
      56 + (185*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/8 + (4991*S[5, Infinity])/128 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((55387*S[5, Infinity])/896 + (25*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   64*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -2, -1, 1, Infinity] -> 
  (31*S[-1, Infinity]^7)/630 + (13*S[-1, Infinity]^5*S[2, Infinity])/240 + 
   (17*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (3763*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/8 - 
     (2139*S[5, Infinity])/128) + (322439*S[7, Infinity])/3584 - 
   (139*S[-5, 1, 1, Infinity])/28 + (86*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((81*S[2, Infinity]^2)/80 - (4*S[-1, 1, 1, 1, Infinity])/
      3) - (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((2181*S[2, Infinity]^3)/560 + (695*S[3, Infinity]^2)/
      112 - (139*S[-5, -1, Infinity])/28 - 10*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1711*S[5, Infinity])/112 + (39*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -1, -2, -1, -1, Infinity] -> 
  (4*S[-1, Infinity]^7)/63 - (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (3379*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-61*S[2, Infinity]*S[3, Infinity])/16 - 
     (527*S[5, Infinity])/8) - (6981*S[2, Infinity]*S[5, Infinity])/56 + 
   (147121*S[7, Infinity])/448 - (184*S[-5, 1, 1, Infinity])/7 + 
   (292*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((111*S[2, Infinity]^2)/40 - (4*S[-1, 1, 1, 1, Infinity])/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((257*S[2, Infinity]^3)/70 + (28159*S[3, Infinity]^2)/
      896 - (93*S[-5, -1, Infinity])/7 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   128*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -2, 1, 1, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (51*S[2, Infinity]^2*S[3, Infinity])/64 + (2191*S[7, Infinity])/256 + 
   (3*S[-5, 1, 1, Infinity])/2 + (3*S[5, -1, -1, Infinity])/2 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-21*S[2, Infinity]^3)/80 - (15*S[3, Infinity]^2)/8 + 
     (3*S[-5, -1, Infinity])/2 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*((-201*S[5, Infinity])/64 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[-2, -2, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/420 + (19*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (8*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
   (S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (73*S[2, Infinity]^2*S[3, Infinity])/140 + 
   (877*S[2, Infinity]*S[5, Infinity])/112 + S[-1, Infinity]^2*
    ((-59*S[2, Infinity]*S[3, Infinity])/32 + (341*S[5, Infinity])/64) - 
   (193083*S[7, Infinity])/7168 + (81*S[-5, 1, 1, Infinity])/28 - 
   (73*S[5, -1, -1, Infinity])/28 - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[-1, Infinity]*((-1991*S[2, Infinity]^3)/1120 - 
     (265*S[3, Infinity]^2)/112 + (53*S[-5, -1, Infinity])/28 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -2, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/105 - (S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (29*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
   (227*S[2, Infinity]^2*S[3, Infinity])/1120 + (14067*S[7, Infinity])/1792 - 
   (39*S[-5, 1, 1, Infinity])/28 - S[5, -1, -1, Infinity]/7 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 - 
     (279*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1209*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((13*S[2, Infinity]^3)/5 + (1721*S[3, Infinity]^2)/896 - 
     (65*S[-5, -1, Infinity])/14 + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -2, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/84 + (S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (651*S[2, Infinity]^2*S[3, Infinity])/320 + (24313*S[7, Infinity])/512 - 
   (7*S[-5, 1, 1, Infinity])/2 + (11*S[5, -1, -1, Infinity])/2 - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((2063*S[2, Infinity]^3)/560 + (35*S[3, Infinity]^2)/8 - 
     (7*S[-5, -1, Infinity])/2 - (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2) + S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/32 - 
     (155*S[5, Infinity])/16 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-857*S[5, Infinity])/128 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   24*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -2, -1, 1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^7)/1260 + (7*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (5507*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (48379*S[7, Infinity])/3584 - (2*S[-5, 1, 1, Infinity])/7 + 
   (59*S[5, -1, -1, Infinity])/14 + S[-1, Infinity]^3*
    ((-59*S[2, Infinity]^2)/120 + (2*S[-1, 1, 1, 1, Infinity])/3) - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/32 - 
     (961*S[5, Infinity])/128 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-8397*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-129*S[2, Infinity]^3)/56 + (1181*S[3, Infinity]^2)/896 + 
     (55*S[-5, -1, Infinity])/28 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -2, -1, 1, -1, Infinity] -> 
  (-4*S[-1, Infinity]^7)/315 - (7*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (2717*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (14067*S[7, Infinity])/1792 - (39*S[-5, 1, 1, Infinity])/28 - 
   S[5, -1, -1, Infinity]/7 + S[-1, Infinity]^3*(-S[2, Infinity]^2/24 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) + 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((-809*S[2, Infinity]^3)/560 + 
     (195*S[3, Infinity]^2)/112 - (39*S[-5, -1, Infinity])/28 + 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-5881*S[5, Infinity])/448 - 
     (25*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^2*
    ((39*S[2, Infinity]*S[3, Infinity])/32 - (279*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-2, -2, -1, -1, 1, Infinity] -> (-31*S[-1, Infinity]^7)/1260 - 
   (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (17*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-71*S[2, Infinity]*S[3, Infinity])/32 + 
     (341*S[5, Infinity])/64) - (48617*S[7, Infinity])/7168 + 
   (137*S[-5, 1, 1, Infinity])/28 - (17*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-9*S[2, Infinity]^2)/40 + (2*S[-1, 1, 1, 1, Infinity])/
      3) + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-759*S[2, Infinity]^3)/160 - (685*S[3, Infinity]^2)/
      112 + (137*S[-5, -1, Infinity])/28 + 
     (13*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-15993*S[5, Infinity])/896 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-2, -2, -1, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^7)/630 + (17*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (97*S[2, Infinity]^2*S[3, Infinity])/80 + (S[2, Infinity]*S[5, Infinity])/
    4 + S[-1, Infinity]^2*((-43*S[2, Infinity]*S[3, Infinity])/8 + 
     (31*S[5, Infinity])/4) - (1511*S[7, Infinity])/64 + 
   8*S[-5, 1, 1, Infinity] + S[-1, Infinity]^3*((-49*S[2, Infinity]^2)/30 + 
     (2*S[-1, 1, 1, 1, Infinity])/3) - 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*
    ((-1613*S[2, Infinity]^3)/280 - (351*S[3, Infinity]^2)/64 + 
     (17*S[-5, -1, Infinity])/2 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   32*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^7/126 - (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (27*S[2, Infinity]^2*S[3, Infinity])/20 - (1919*S[7, Infinity])/256 - 
   S[-5, 1, 1, Infinity]/2 - S[5, -1, -1, Infinity] + 
   S[-1, Infinity]^3*(S[2, Infinity]^2/6 - S[-1, 1, 1, 1, Infinity]/3) + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((47*S[5, Infinity])/16 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/8 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((7*S[2, Infinity]^3)/40 + (5*S[3, Infinity]^2)/4 - S[-5, -1, Infinity] + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-3, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^7/140 - 
   (11*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (9*S[2, Infinity]^2*S[3, Infinity])/40 - (1403*S[7, Infinity])/128 - 
   S[5, -1, -1, Infinity] + S[-1, Infinity]^3*((2*S[2, Infinity]^2)/15 - 
     S[-1, 1, 1, 1, Infinity]/3) - (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[-1, Infinity]*((-41*S[2, Infinity]^3)/56 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/8 + 
     (31*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((223*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, 1, 1, -1, 1, Infinity] -> 
  (29*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (757*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/4 - 
     (341*S[5, Infinity])/64) + (72809*S[7, Infinity])/1792 - 
   (15*S[-5, 1, 1, Infinity])/14 + (31*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/12 - S[-1, 1, 1, 1, Infinity]/3) - 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((39*S[2, Infinity]^3)/140 + (251*S[3, Infinity]^2)/224 - 
     (15*S[-5, -1, Infinity])/14 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-6325*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, 
      Infinity]) + 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-3, 1, 1, -1, -1, Infinity] -> (5*S[-1, Infinity]^7)/504 + 
   (19*S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (17*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity]) - 
     (31*S[5, Infinity])/64) + (30895*S[7, Infinity])/1792 + 
   (19*S[-5, 1, 1, Infinity])/14 + (13*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((5*S[2, Infinity]^2)/48 - S[-1, 1, 1, 1, Infinity]/3) + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-1229*S[5, Infinity])/224 + S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]*((223*S[2, Infinity]^3)/280 + 
     (83*S[3, Infinity]^2)/112 + (3*S[-5, -1, Infinity])/28 - 
     (5*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-3, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^7/630 + 
   (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (22*S[2, Infinity]^2*S[3, Infinity])/7 + S[-1, Infinity]^2*
    ((-23*S[2, Infinity]*S[3, Infinity])/16 + (217*S[5, Infinity])/32) + 
   (697*S[7, Infinity])/896 + S[-1, Infinity]*((-139*S[2, Infinity]^3)/70 - 
     (1537*S[3, Infinity]^2)/224 + (47*S[-5, -1, Infinity])/7) + 
   (47*S[-5, 1, 1, Infinity])/7 - (2*S[5, -1, -1, Infinity])/7 - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-39*S[5, Infinity])/14 - 5*S[-1, 1, 1, 1, 1, Infinity]) - 
   8*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, 1, -1, 1, -1, Infinity] -> 
  (11*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (67*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (4573*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/32 + 
     (1953*S[5, Infinity])/128) - (340889*S[7, Infinity])/7168 + 
   (115*S[-5, 1, 1, Infinity])/14 - (211*S[5, -1, -1, Infinity])/28 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((11107*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((1443*S[2, Infinity]^3)/1120 - (7415*S[3, Infinity]^2)/896 + 
     (59*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, 1, -1, -1, 1, Infinity] -> 
  (5*S[-1, Infinity]^7)/504 - (11*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (77*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/64 + 
   (639*S[2, Infinity]^2*S[3, Infinity])/1120 - (115793*S[7, Infinity])/
    7168 - S[-5, 1, 1, Infinity]/14 - (93*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 + 
     (31*S[5, Infinity])/16 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((10121*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]*((197*S[2, Infinity]^3)/160 - 
     (1173*S[3, Infinity]^2)/896 - (65*S[-5, -1, Infinity])/28 - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-3, 1, -1, -1, -1, Infinity] -> (23*S[-1, Infinity]^7)/2520 - 
   (3*S[-1, Infinity]^5*S[2, Infinity])/80 - 
   (43*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/64 - 
   (7579*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (2013*S[2, Infinity]*S[5, Infinity])/896 + (25013*S[7, Infinity])/3584 + 
   (33*S[-5, 1, 1, Infinity])/7 + (12*S[5, -1, -1, Infinity])/7 - 
   (47*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-739*S[2, Infinity]^3)/560 - (611*S[3, Infinity]^2)/
      112 + (33*S[-5, -1, Infinity])/7 - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*((-55*S[2, Infinity]*S[3, Infinity])/32 + 
     (217*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, -1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^7/2520 - (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (4*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
   (17*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (S[2, Infinity]^2*S[3, Infinity])/16 + S[-1, Infinity]^2*
    ((17*S[2, Infinity]*S[3, Infinity])/16 - (93*S[5, Infinity])/32) + 
   (6699*S[7, Infinity])/512 + S[-1, Infinity]*((143*S[2, Infinity]^3)/112 + 
     (25*S[3, Infinity]^2)/8 - (5*S[-5, -1, Infinity])/2) - 
   (5*S[-5, 1, 1, Infinity])/2 + S[5, -1, -1, Infinity]/2 + 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-49*S[5, Infinity])/32 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   2*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, -1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^7/504 - (7*S[-1, Infinity]^5*S[2, Infinity])/48 + 
   (83*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
   (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (807*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((45*S[2, Infinity]*S[3, Infinity])/32 - 
     (403*S[5, Infinity])/128) + (86579*S[7, Infinity])/7168 - 
   (3*S[-5, 1, 1, Infinity])/14 + (85*S[5, -1, -1, Infinity])/28 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-10265*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-187*S[2, Infinity]^3)/1120 + (1395*S[3, Infinity]^2)/896 + 
     (2*S[-5, -1, Infinity])/7 + (9*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + 2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^7/126 - (S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1369*S[2, Infinity]^2*S[3, Infinity])/560 + (106427*S[7, Infinity])/
    1792 - (45*S[-5, 1, 1, Infinity])/14 + (137*S[5, -1, -1, Infinity])/14 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-25483*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[-1, Infinity]^2*((-49*S[2, Infinity]*S[3, Infinity])/
      32 - (527*S[5, Infinity])/32 - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]*((-39*S[2, Infinity]^3)/35 + (5189*S[3, Infinity]^2)/896 - 
     (55*S[-5, -1, Infinity])/28 - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   16*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, -1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^7/140 + (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (15*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1067*S[2, Infinity]^2*S[3, Infinity])/448 - 
   (14747*S[2, Infinity]*S[5, Infinity])/896 + (256219*S[7, Infinity])/7168 - 
   (13*S[-5, 1, 1, Infinity])/7 + (123*S[5, -1, -1, Infinity])/28 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-2183*S[2, Infinity]^3)/1120 + 
     (65*S[3, Infinity]^2)/28 - (13*S[-5, -1, Infinity])/7 - 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/4 - 
     (1271*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]) + 
   6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, -1, -1, 1, 1, Infinity] -> 
  (-47*S[-1, Infinity]^7)/2520 + (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^4*S[3, Infinity])/192 - 
   (97*S[2, Infinity]^2*S[3, Infinity])/112 + (122869*S[7, Infinity])/7168 - 
   (33*S[-5, 1, 1, Infinity])/14 + (137*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-33*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, Infinity]/
      3) + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/32 - 
     (589*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-10925*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    ((-589*S[2, Infinity]^3)/224 + (765*S[3, Infinity]^2)/224 + 
     (23*S[-5, -1, Infinity])/14 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-3, -1, -1, 1, -1, Infinity] -> (-7*S[-1, Infinity]^7)/360 - 
   (S[-1, Infinity]^5*S[2, Infinity])/240 - 
   (59*S[-1, Infinity]^4*S[3, Infinity])/192 + 
   (2599*S[2, Infinity]^2*S[3, Infinity])/560 - (241225*S[7, Infinity])/
    7168 - (37*S[-5, 1, 1, Infinity])/14 - (137*S[5, -1, -1, Infinity])/28 + 
   S[-1, Infinity]^3*((-17*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/
      3) + (59*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]*((-2151*S[2, Infinity]^3)/1120 + 
     (185*S[3, Infinity]^2)/56 - (37*S[-5, -1, Infinity])/14 + 
     (7*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((509*S[5, Infinity])/112 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    ((83*S[2, Infinity]*S[3, Infinity])/32 + S[-1, 1, 1, 1, 1, Infinity]) - 
   14*S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-3, -1, -1, -1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^7)/1260 + (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (13*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/8 - 
     (31*S[5, Infinity])/4) + (14341*S[7, Infinity])/448 - 
   (26*S[-5, 1, 1, Infinity])/7 + (30*S[5, -1, -1, Infinity])/7 + 
   S[-1, Infinity]^3*((181*S[2, Infinity]^2)/240 + S[-1, 1, 1, 1, Infinity]/
      3) + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((593*S[2, Infinity]^3)/560 + (65*S[3, Infinity]^2)/14 - 
     (26*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-5955*S[5, Infinity])/448 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-3, -1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^7/60 + 
   (S[-1, Infinity]^5*S[2, Infinity])/12 + (S[-1, Infinity]^4*S[3, Infinity])/
    48 - (2453*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/8 - 
     (155*S[5, Infinity])/16) - (2347*S[2, Infinity]*S[5, Infinity])/112 + 
   (7753*S[7, Infinity])/224 - (22*S[-5, 1, 1, Infinity])/7 + 
   (48*S[5, -1, -1, Infinity])/7 + S[-1, Infinity]^3*
    ((17*S[2, Infinity]^2)/30 + S[-1, 1, 1, 1, Infinity]/3) - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1129*S[2, Infinity]^3)/560 + (517*S[3, Infinity]^2)/
      112 - (25*S[-5, -1, Infinity])/28 + S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity]), 
 S[4, 1, 1, 1, Infinity] -> (-7*S[2, Infinity]^2*S[3, Infinity])/10 - 
   2*S[2, Infinity]*S[5, Infinity] + (109*S[7, Infinity])/16, 
 S[4, 1, 1, -1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (267*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/16 + 
     (31*S[5, Infinity])/8) - (23169*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((179*S[2, Infinity]^3)/112 - (15*S[3, Infinity]^2)/14 + 
     (6*S[-5, -1, Infinity])/7) + (33*S[-5, 1, 1, Infinity])/14 - 
   (23*S[5, -1, -1, Infinity])/14 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((2449*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[4, 1, -1, 1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (227*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/16 + 
     (155*S[5, Infinity])/64) - (15819*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((17*S[2, Infinity]^3)/280 - (561*S[3, Infinity]^2)/448 + 
     (3*S[-5, -1, Infinity])/14) + (19*S[-5, 1, 1, Infinity])/7 - 
   (9*S[5, -1, -1, Infinity])/7 + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4 + S[2, Infinity]*((83*S[5, Infinity])/28 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[4, 1, -1, -1, Infinity] -> 
  (13*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (23*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (4*S[2, Infinity]^2*S[3, Infinity])/5 + S[-1, Infinity]^2*
    ((-25*S[2, Infinity]*S[3, Infinity])/16 - (155*S[5, Infinity])/64) + 
   (141*S[7, Infinity])/16 + S[5, -1, -1, Infinity] - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-4*S[2, Infinity]^3)/5 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-33*S[5, Infinity])/16 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[4, -1, 1, 1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (619*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 - 
     (589*S[5, Infinity])/64) + (47749*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-253*S[2, Infinity]^3)/140 + (353*S[3, Infinity]^2)/
      112 - S[-5, -1, Infinity]/14) - (11*S[-5, 1, 1, Infinity])/7 + 
   (38*S[5, -1, -1, Infinity])/7 - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-6577*S[5, Infinity])/448 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[4, -1, 1, -1, Infinity] -> (-11*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (1563*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/8 - 
     (403*S[5, Infinity])/64) + (10215*S[7, Infinity])/1792 - 
   (25*S[-5, 1, 1, Infinity])/7 + (3*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-83*S[2, Infinity]^3)/56 + (125*S[3, Infinity]^2)/28 - 
     (25*S[-5, -1, Infinity])/7 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-4337*S[5, Infinity])/448 - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[4, -1, -1, 1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (409*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/8) + (97641*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-439*S[2, Infinity]^3)/560 + (15*S[3, Infinity]^2)/56 - 
     (3*S[-5, -1, Infinity])/14) - (3*S[-5, 1, 1, Infinity])/14 + 
   (53*S[5, -1, -1, Infinity])/14 - 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-6151*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[4, -1, -1, -1, Infinity] -> 
  (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (951*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/8 - 
     (31*S[5, Infinity])/4) - (1919*S[2, Infinity]*S[5, Infinity])/112 + 
   (51277*S[7, Infinity])/1792 + S[-1, Infinity]*
    ((-1139*S[2, Infinity]^3)/560 + (1853*S[3, Infinity]^2)/448 - 
     S[-5, -1, Infinity]/14) - (18*S[-5, 1, 1, Infinity])/7 + 
   (38*S[5, -1, -1, Infinity])/7, S[3, 2, 1, 1, Infinity] -> 
  (13*S[2, Infinity]^2*S[3, Infinity])/5 + (11*S[2, Infinity]*S[5, Infinity])/
    2 - (131*S[7, Infinity])/8, S[3, 2, 1, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (8157*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-57*S[2, Infinity]*S[3, Infinity])/16 - 
     (527*S[5, Infinity])/64) + (27145*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-867*S[2, Infinity]^3)/280 + (337*S[3, Infinity]^2)/
      448 - (17*S[-5, -1, Infinity])/14) - (33*S[-5, 1, 1, Infinity])/7 + 
   (53*S[5, -1, -1, Infinity])/14 - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-10713*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[3, 2, -1, 1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (913*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/8 + 
     (217*S[5, Infinity])/64) - (707*S[7, Infinity])/128 + 
   S[-1, Infinity]*((17*S[2, Infinity]^3)/10 - (285*S[3, Infinity]^2)/64 + 
     S[-5, -1, Infinity]/2) - 2*S[-5, 1, 1, Infinity] - 
   2*S[5, -1, -1, Infinity] - (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((417*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, 2, -1, -1, Infinity] -> (-11*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (523*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((41*S[2, Infinity]*S[3, Infinity])/8 + 
     (155*S[5, Infinity])/16) - (137799*S[7, Infinity])/3584 + 
   (15*S[-5, 1, 1, Infinity])/14 - (38*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((907*S[2, Infinity]^3)/560 - (75*S[3, Infinity]^2)/56 + 
     (15*S[-5, -1, Infinity])/14 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((697*S[5, Infinity])/56 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[3, 1, 2, 1, Infinity] -> 
  (3*S[2, Infinity]^2*S[3, Infinity])/2 - (9*S[2, Infinity]*S[5, Infinity])/
    2 + (67*S[7, Infinity])/16, S[3, 1, 2, -1, Infinity] -> 
  (-7*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (569*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/16) - (355*S[2, Infinity]*S[5, Infinity])/896 - 
   (8639*S[7, Infinity])/3584 + S[-1, Infinity]*((17*S[2, Infinity]^3)/40 + 
     (1115*S[3, Infinity]^2)/224 - (19*S[-5, -1, Infinity])/14) - 
   (33*S[-5, 1, 1, Infinity])/14 - (5*S[5, -1, -1, Infinity])/14 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[3, 1, 1, 2, Infinity] -> (S[2, Infinity]^2*S[3, Infinity])/5 + 
   5*S[2, Infinity]*S[5, Infinity] - (61*S[7, Infinity])/8, 
 S[3, 1, 1, -2, Infinity] -> (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (2841*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (811*S[2, Infinity]*S[5, Infinity])/448 - (633*S[7, Infinity])/224 + 
   S[-1, Infinity]*((9*S[2, Infinity]^3)/80 - (767*S[3, Infinity]^2)/448 - 
     (9*S[-5, -1, Infinity])/14) - (9*S[-5, 1, 1, Infinity])/14 - 
   (9*S[5, -1, -1, Infinity])/14 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[3, 1, -1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (579*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/8 - 
     (279*S[5, Infinity])/32) + (21499*S[7, Infinity])/896 - 
   (29*S[-5, 1, 1, Infinity])/7 + (34*S[5, -1, -1, Infinity])/7 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-187*S[2, Infinity]^3)/112 + (2775*S[3, Infinity]^2)/
      448 - S[-5, -1, Infinity]/7 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-11587*S[5, Infinity])/896 + 3*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, 1, -1, -2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/10 + 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (3399*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/16 - 
     (155*S[5, Infinity])/32) + (19959*S[7, Infinity])/1792 - 
   (43*S[-5, 1, 1, Infinity])/14 + (27*S[5, -1, -1, Infinity])/14 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((353*S[2, Infinity]^3)/560 + (215*S[3, Infinity]^2)/56 - 
     (43*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-743*S[5, Infinity])/112 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[3, 1, -2, 1, Infinity] -> 
  -(S[2, Infinity]^2*S[3, Infinity])/2 - (69*S[2, Infinity]*S[5, Infinity])/
    32 + (409*S[7, Infinity])/128 + S[-1, Infinity]*
    ((-7*S[2, Infinity]^3)/80 + (9*S[3, Infinity]^2)/64 + 
     S[-5, -1, Infinity]/2) - S[-5, 1, 1, Infinity]/2 + 
   S[5, -1, -1, Infinity]/2, S[3, 1, -2, -1, Infinity] -> 
  (-3*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (31*S[-1, Infinity]^2*S[5, Infinity])/16 + 
   (211*S[2, Infinity]*S[5, Infinity])/64 - (607*S[7, Infinity])/128 + 
   S[-1, Infinity]*((-11*S[2, Infinity]^3)/40 - (5*S[3, Infinity]^2)/8 + 
     S[-5, -1, Infinity]/2) + S[-5, 1, 1, Infinity]/2 - 
   S[5, -1, -1, Infinity]/2, S[3, -1, 2, 1, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (107*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (7807*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/16 + 
     (93*S[5, Infinity])/8) - (19821*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((1059*S[2, Infinity]^3)/560 - (447*S[3, Infinity]^2)/
      112 + (15*S[-5, -1, Infinity])/7) + (22*S[-5, 1, 1, Infinity])/7 - 
   (27*S[5, -1, -1, Infinity])/7 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[3, -1, 2, -1, Infinity] -> (7*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (469*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((-13*S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/16) + (5545*S[7, Infinity])/256 + 
   2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((51*S[2, Infinity]^3)/20 - (33*S[3, Infinity]^2)/16 + 
     2*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((189*S[5, Infinity])/32 + 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, -1, 1, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (1077*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 + 
     (403*S[5, Infinity])/32) - (22513*S[7, Infinity])/448 + 
   (22*S[-5, 1, 1, Infinity])/7 - (69*S[5, -1, -1, Infinity])/7 + 
   (15*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((391*S[2, Infinity]^3)/140 - (531*S[3, Infinity]^2)/112 - 
     (20*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((22983*S[5, Infinity])/896 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[3, -1, 1, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (47*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (1541*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 + 
     (155*S[5, Infinity])/32) - (40231*S[7, Infinity])/1792 + 
   (29*S[-5, 1, 1, Infinity])/14 - (41*S[5, -1, -1, Infinity])/14 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((11*S[2, Infinity]^3)/560 - (629*S[3, Infinity]^2)/224 + 
     (29*S[-5, -1, Infinity])/14 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[3, -1, -1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (4437*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/8 + 
     (155*S[5, Infinity])/16) - (192803*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-313*S[2, Infinity]^3)/560 - (293*S[3, Infinity]^2)/56 + 
     (39*S[-5, -1, Infinity])/14) + (39*S[-5, 1, 1, Infinity])/14 - 
   (101*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((8619*S[5, Infinity])/448 - 10*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, -1, -1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (15*S[2, Infinity]^2*S[3, Infinity])/7 + S[-1, Infinity]^2*
    ((-7*S[2, Infinity]*S[3, Infinity])/16 + (341*S[5, Infinity])/16) - 
   (55549*S[7, Infinity])/896 + S[-1, Infinity]*
    ((2367*S[2, Infinity]^3)/560 - (283*S[3, Infinity]^2)/28 - 
     (12*S[-5, -1, Infinity])/7) + (58*S[-5, 1, 1, Infinity])/7 - 
   (96*S[5, -1, -1, Infinity])/7 + S[2, Infinity]*
    ((34255*S[5, Infinity])/896 - 3*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, -1, -2, 1, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/3 - 
   2*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] - 
   (5693*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (1507*S[2, Infinity]*S[5, Infinity])/448 - (10613*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-887*S[2, Infinity]^3)/560 - (465*S[3, Infinity]^2)/
      224 + (11*S[-5, -1, Infinity])/14) + (11*S[-5, 1, 1, Infinity])/14 + 
   (11*S[5, -1, -1, Infinity])/14 - 8*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity], S[3, -1, -2, -1, Infinity] -> 
  (11*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (S[-1, Infinity]^4*S[3, Infinity])/3 - 
   (1731*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/8 + 
     (155*S[5, Infinity])/16) - (45733*S[7, Infinity])/1792 + 
   (32*S[-5, 1, 1, Infinity])/7 - (38*S[5, -1, -1, Infinity])/7 - 
   8*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((207*S[2, Infinity]^3)/70 - (3519*S[3, Infinity]^2)/448 + 
     (25*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((11113*S[5, Infinity])/448 + 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, -2, 1, 1, Infinity] -> (-7*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 + 
   (1229*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (1397*S[2, Infinity]*S[5, Infinity])/448 + (4265*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/40 + (185*S[3, Infinity]^2)/112 + 
     (3*S[-5, -1, Infinity])/7) - (29*S[-5, 1, 1, Infinity])/14 + 
   (3*S[5, -1, -1, Infinity])/7 + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    4, S[3, -2, 1, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (237*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 + 
     (403*S[5, Infinity])/64) - (23879*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-12*S[2, Infinity]^3)/35 - (145*S[3, Infinity]^2)/56 + 
     (29*S[-5, -1, Infinity])/14) + (29*S[-5, 1, 1, Infinity])/14 - 
   (27*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((2237*S[5, Infinity])/448 - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, -2, -1, 1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (S[-1, Infinity]^4*S[3, Infinity])/3 + 
   (549*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((19*S[2, Infinity]*S[3, Infinity])/8 - 
     (93*S[5, Infinity])/64) - (11951*S[7, Infinity])/896 + 
   S[-1, Infinity]*((117*S[2, Infinity]^3)/56 + (235*S[3, Infinity]^2)/56 - 
     (47*S[-5, -1, Infinity])/14) - (47*S[-5, 1, 1, Infinity])/14 - 
   (13*S[5, -1, -1, Infinity])/7 + 8*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((1059*S[5, Infinity])/112 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[3, -2, -1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (S[-1, Infinity]^4*S[3, Infinity])/3 + 
   (2951*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/4 - 
     (155*S[5, Infinity])/16) + (8255*S[7, Infinity])/896 - 
   (50*S[-5, 1, 1, Infinity])/7 + (20*S[5, -1, -1, Infinity])/7 + 
   8*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-131*S[2, Infinity]^3)/112 + (549*S[3, Infinity]^2)/56 - 
     (51*S[-5, -1, Infinity])/14 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-6217*S[5, Infinity])/448 - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 3, 1, 1, Infinity] -> (-29*S[2, Infinity]^2*S[3, Infinity])/10 + 
   (179*S[7, Infinity])/16, S[2, 3, 1, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/10 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1669*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((19*S[2, Infinity]*S[3, Infinity])/8 + 
     (403*S[5, Infinity])/64) - (13675*S[7, Infinity])/3584 + 
   (71*S[-5, 1, 1, Infinity])/14 - (10*S[5, -1, -1, Infinity])/7 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((281*S[2, Infinity]^3)/112 - (1049*S[3, Infinity]^2)/
      224 + (25*S[-5, -1, Infinity])/7 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((1317*S[5, Infinity])/896 - 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[2, 3, -1, 1, Infinity] -> 
  (3*S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1047*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/16 - 
     (93*S[5, Infinity])/64) + (25447*S[7, Infinity])/1792 + 
   (24*S[-5, 1, 1, Infinity])/7 + (24*S[5, -1, -1, Infinity])/7 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((353*S[2, Infinity]^3)/560 + (509*S[3, Infinity]^2)/448 + 
     (13*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1593*S[5, Infinity])/448 + 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 3, -1, -1, Infinity] -> (-291*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/8 - 
     (155*S[5, Infinity])/16) - (477*S[2, Infinity]*S[5, Infinity])/28 + 
   (12455*S[7, Infinity])/448 + S[-1, Infinity]*
    ((-631*S[2, Infinity]^3)/280 + (115*S[3, Infinity]^2)/28 - 
     (23*S[-5, -1, Infinity])/7) - (23*S[-5, 1, 1, Infinity])/7 + 
   (73*S[5, -1, -1, Infinity])/14, S[2, 2, 2, 1, Infinity] -> 
  2*S[7, Infinity], S[2, 2, 2, -1, Infinity] -> 
  (3*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (177*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/4) - (571*S[7, Infinity])/32 + 
   4*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((369*S[2, Infinity]^3)/80 - (49*S[3, Infinity]^2)/16 - 
     6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((759*S[5, Infinity])/32 + 12*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, 1, 2, Infinity] -> (-21*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (11*S[2, Infinity]*S[5, Infinity])/2 + (291*S[7, Infinity])/16, 
 S[2, 2, 1, -2, Infinity] -> (1713*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (9901*S[2, Infinity]*S[5, Infinity])/896 + (55011*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-23*S[2, Infinity]^3)/40 + (207*S[3, Infinity]^2)/224 + 
     (23*S[-5, -1, Infinity])/7) + (23*S[-5, 1, 1, Infinity])/7 + 
   (23*S[5, -1, -1, Infinity])/7, S[2, 2, -1, 2, Infinity] -> 
  (-7*S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (S[-1, Infinity]^4*S[3, Infinity])/4 + 
   (971*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/2 - 
     (31*S[5, Infinity])/4) + (14859*S[7, Infinity])/1792 - 
   (38*S[-5, 1, 1, Infinity])/7 + (18*S[5, -1, -1, Infinity])/7 + 
   6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-3363*S[2, Infinity]^3)/560 + (543*S[3, Infinity]^2)/
      112 - (10*S[-5, -1, Infinity])/7 + 14*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-3933*S[5, Infinity])/112 - 28*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, -1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (4203*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (62217*S[7, Infinity])/3584 + (13*S[-5, 1, 1, Infinity])/7 + 
   (13*S[5, -1, -1, Infinity])/7 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((23*S[2, Infinity]^3)/56 - (65*S[3, Infinity]^2)/28 + 
     (13*S[-5, -1, Infinity])/7 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((367*S[5, Infinity])/224 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[2, 2, -2, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/5 - S[-1, Infinity]^3*S[2, Infinity]^2 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 - 
   (309*S[2, Infinity]^2*S[3, Infinity])/320 + (771*S[7, Infinity])/64 + 
   6*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/20 - (5*S[3, Infinity]^2)/2 + 
     2*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-21*S[5, Infinity])/64 + 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, -2, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (279*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[-1, Infinity]^2*((-47*S[2, Infinity]*S[3, Infinity])/8 - 
     (31*S[5, Infinity])/4) - (63*S[2, Infinity]*S[5, Infinity])/4 + 
   (16169*S[7, Infinity])/512 + 4*S[5, -1, -1, Infinity] - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-369*S[2, Infinity]^3)/80 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[2, 1, 3, 1, Infinity] -> 
  -(S[2, Infinity]^2*S[3, Infinity])/2 + (67*S[7, Infinity])/16, 
 S[2, 1, 3, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (43*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/16) - (8639*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-251*S[2, Infinity]^3)/560 + (417*S[3, Infinity]^2)/
      448 - (19*S[-5, -1, Infinity])/14) - (33*S[-5, 1, 1, Infinity])/14 - 
   (5*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((-1741*S[5, Infinity])/896 - 3*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, 2, 2, Infinity] -> (7*S[2, Infinity]^2*S[3, Infinity])/5 + 
   (9*S[2, Infinity]*S[5, Infinity])/2 - (75*S[7, Infinity])/8, 
 S[2, 1, 2, -2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/5 + 
   S[-1, Infinity]^3*S[2, Infinity]^2 + (7*S[-1, Infinity]^4*S[3, Infinity])/
    24 + (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (123*S[2, Infinity]^2*S[3, Infinity])/28 + (24627*S[7, Infinity])/1792 + 
   (19*S[-5, 1, 1, Infinity])/7 + (19*S[5, -1, -1, Infinity])/7 - 
   7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-19*S[2, Infinity]^3)/40 - (1201*S[3, Infinity]^2)/224 + 
     (19*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-10693*S[5, Infinity])/896 - 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, 1, 3, Infinity] -> (S[2, Infinity]^2*S[3, Infinity])/2 - 
   3*S[2, Infinity]*S[5, Infinity] + (109*S[7, Infinity])/16, 
 S[2, 1, 1, -3, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 + 
   (363*S[2, Infinity]^2*S[3, Infinity])/280 - (36569*S[7, Infinity])/3584 - 
   (19*S[-5, 1, 1, Infinity])/14 - (19*S[5, -1, -1, Infinity])/14 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((19*S[2, Infinity]^3)/80 + (1201*S[3, Infinity]^2)/448 - 
     (19*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((3151*S[5, Infinity])/448 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[2, 1, -1, 3, Infinity] -> 
  (7*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (967*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/8 + 
     (341*S[5, Infinity])/32) - (73379*S[7, Infinity])/1792 + 
   (24*S[-5, 1, 1, Infinity])/7 - (53*S[5, -1, -1, Infinity])/7 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((1231*S[2, Infinity]^3)/280 - (473*S[3, Infinity]^2)/
      112 - (18*S[-5, -1, Infinity])/7 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((28825*S[5, Infinity])/896 + 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, -1, -3, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (121*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/16 + 
     (155*S[5, Infinity])/32) - (75*S[7, Infinity])/56 + 
   S[-1, Infinity]*((-197*S[2, Infinity]^3)/280 - (1173*S[3, Infinity]^2)/
      224 + (33*S[-5, -1, Infinity])/7) + (33*S[-5, 1, 1, Infinity])/7 - 
   (2*S[5, -1, -1, Infinity])/7 - 5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-247*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, 1, -2, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/5 - S[-1, Infinity]^3*S[2, Infinity]^2 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (2503*S[2, Infinity]^2*S[3, Infinity])/560 - (31027*S[7, Infinity])/896 - 
   (37*S[-5, 1, 1, Infinity])/7 - (37*S[5, -1, -1, Infinity])/7 + 
   7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((37*S[2, Infinity]^3)/40 + (1039*S[3, Infinity]^2)/224 - 
     (37*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((18609*S[5, Infinity])/896 + 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, -2, -2, Infinity] -> (-231*S[2, Infinity]^2*S[3, Infinity])/320 - 
   (53*S[2, Infinity]*S[5, Infinity])/64 + (1537*S[7, Infinity])/256, 
 S[2, 1, -3, 1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/5 + 
   S[-1, Infinity]^3*S[2, Infinity]^2 + (7*S[-1, Infinity]^4*S[3, Infinity])/
    96 + (35*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (193*S[2, Infinity]^2*S[3, Infinity])/140 + (5127*S[7, Infinity])/1792 + 
   S[-5, 1, 1, Infinity]/7 + (8*S[5, -1, -1, Infinity])/7 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/5 - (271*S[3, Infinity]^2)/224 + 
     (8*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1795*S[5, Infinity])/224 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[2, 1, -3, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (4169*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (573*S[2, Infinity]*S[5, Infinity])/56 + S[-1, Infinity]^2*
    ((63*S[2, Infinity]*S[3, Infinity])/16 + (31*S[5, Infinity])/16) - 
   (21341*S[7, Infinity])/896 - (15*S[-5, 1, 1, Infinity])/7 - 
   (22*S[5, -1, -1, Infinity])/7 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((297*S[2, Infinity]^3)/280 + (75*S[3, Infinity]^2)/28 - 
     (15*S[-5, -1, Infinity])/7 + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[2, -1, 3, 1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (23*S[2, Infinity]^2*S[3, Infinity])/20 + S[-1, Infinity]^2*
    ((-31*S[2, Infinity]*S[3, Infinity])/16 - (31*S[5, Infinity])/4) + 
   (5545*S[7, Infinity])/256 + S[-1, Infinity]*((-127*S[2, Infinity]^3)/40 + 
     (67*S[3, Infinity]^2)/64 + S[-5, -1, Infinity]) + 
   2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-2205*S[5, Infinity])/128 - 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, 3, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (9*S[2, Infinity]^2*S[3, Infinity])/28 + 
   (751*S[2, Infinity]*S[5, Infinity])/112 + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/8 + (31*S[5, Infinity])/16) - 
   (19821*S[7, Infinity])/1792 + (22*S[-5, 1, 1, Infinity])/7 - 
   (27*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1007*S[2, Infinity]^3)/560 - (55*S[3, Infinity]^2)/14 + 
     (22*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[2, -1, 2, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/4 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (6163*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/4) + (32447*S[7, Infinity])/896 - 
   (8*S[-5, 1, 1, Infinity])/7 + (48*S[5, -1, -1, Infinity])/7 - 
   9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((237*S[2, Infinity]^3)/560 - (57*S[3, Infinity]^2)/112 + 
     (20*S[-5, -1, Infinity])/7 - 10*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-205*S[5, Infinity])/112 + 
     20*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, 2, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (S[-1, Infinity]^4*S[3, Infinity])/2 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (445*S[2, Infinity]^2*S[3, Infinity])/112 - (995*S[7, Infinity])/112 - 
   (17*S[-5, 1, 1, Infinity])/7 - (17*S[5, -1, -1, Infinity])/7 + 
   12*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-1501*S[2, Infinity]^3)/560 + (85*S[3, Infinity]^2)/28 - 
     (17*S[-5, -1, Infinity])/7 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1951*S[5, Infinity])/224 - 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 1, 3, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/12 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (491*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/4 - 
     (217*S[5, Infinity])/32) + (4909*S[7, Infinity])/1792 - 
   (32*S[-5, 1, 1, Infinity])/7 + (17*S[5, -1, -1, Infinity])/7 + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-183*S[2, Infinity]^3)/80 + (1839*S[3, Infinity]^2)/
      448 - (4*S[-5, -1, Infinity])/7 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-10151*S[5, Infinity])/896 - 5*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 1, -3, Infinity] -> (-19*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (2797*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((27*S[2, Infinity]*S[3, Infinity])/16 - 
     (155*S[5, Infinity])/32) + (65061*S[7, Infinity])/1792 + 
   S[-5, 1, 1, Infinity]/7 + (36*S[5, -1, -1, Infinity])/7 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((319*S[2, Infinity]^3)/280 + (401*S[3, Infinity]^2)/224 + 
     S[-5, -1, Infinity]/7 + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-3223*S[5, Infinity])/224 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, -1, 3, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (1493*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
     (155*S[5, Infinity])/16) + (121579*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((289*S[2, Infinity]^3)/280 + (345*S[3, Infinity]^2)/56 - 
     (69*S[-5, -1, Infinity])/14) - (69*S[-5, 1, 1, Infinity])/14 + 
   (71*S[5, -1, -1, Infinity])/14 + 3*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-2343*S[5, Infinity])/224 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, -1, -3, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (4537*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-27*S[2, Infinity]*S[3, Infinity])/16 - 
     (279*S[5, Infinity])/16) + (106245*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-3343*S[2, Infinity]^3)/560 + (36*S[3, Infinity]^2)/7 + 
     (30*S[-5, -1, Infinity])/7) - (40*S[-5, 1, 1, Infinity])/7 + 
   (86*S[5, -1, -1, Infinity])/7 - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-2343*S[5, Infinity])/56 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, -2, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 - 
   (73*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (849*S[2, Infinity]*S[5, Infinity])/448 + (11957*S[7, Infinity])/1792 - 
   (9*S[-5, 1, 1, Infinity])/7 - (9*S[5, -1, -1, Infinity])/7 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((1377*S[2, Infinity]^3)/560 + (45*S[3, Infinity]^2)/28 - 
     (9*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[2, -1, -2, -2, Infinity] -> (-3*S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (17*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/4) + (4531*S[7, Infinity])/128 + 
   8*S[5, -1, -1, Infinity] + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-187*S[2, Infinity]^3)/40 + (67*S[3, Infinity]^2)/16 + 
     4*S[-5, -1, Infinity] + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-4663*S[5, Infinity])/128 - 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, -3, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (4383*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (1833*S[2, Infinity]*S[5, Infinity])/224 - (38771*S[7, Infinity])/3584 - 
   (39*S[-5, 1, 1, Infinity])/14 - (39*S[5, -1, -1, Infinity])/14 + 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((789*S[2, Infinity]^3)/560 + (195*S[3, Infinity]^2)/56 - 
     (39*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[2, -1, -3, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (367*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 - 
     (155*S[5, Infinity])/16) - (6969*S[2, Infinity]*S[5, Infinity])/448 + 
   (44739*S[7, Infinity])/1792 - (32*S[-5, 1, 1, Infinity])/7 + 
   (38*S[5, -1, -1, Infinity])/7 + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((249*S[2, Infinity]^3)/560 + (73*S[3, Infinity]^2)/14 - 
     (39*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[2, -2, 2, 1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/5 + 
   S[-1, Infinity]^3*S[2, Infinity]^2 - (S[-1, Infinity]^4*S[3, Infinity])/
    4 + (33*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (429*S[2, Infinity]^2*S[3, Infinity])/112 - (43481*S[7, Infinity])/896 - 
   (47*S[-5, 1, 1, Infinity])/7 - (47*S[5, -1, -1, Infinity])/7 + 
   6*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((47*S[2, Infinity]^3)/40 + (753*S[3, Infinity]^2)/224 - 
     (47*S[-5, -1, Infinity])/7 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((15803*S[5, Infinity])/896 - 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, 2, -1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/2 + 
   3*S[-1, Infinity]^3*S[2, Infinity]^2 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (6439*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (2209*S[2, Infinity]*S[5, Infinity])/112 - (43481*S[7, Infinity])/896 - 
   (47*S[-5, 1, 1, Infinity])/7 - (47*S[5, -1, -1, Infinity])/7 + 
   5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((199*S[2, Infinity]^3)/56 + (421*S[3, Infinity]^2)/56 - 
     (47*S[-5, -1, Infinity])/7 + 12*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[2, -2, 1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (15*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (369*S[2, Infinity]^2*S[3, Infinity])/112 - (22217*S[7, Infinity])/1792 - 
   (9*S[-5, 1, 1, Infinity])/7 - (9*S[5, -1, -1, Infinity])/7 + 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((9*S[2, Infinity]^3)/40 + (703*S[3, Infinity]^2)/224 - 
     (9*S[-5, -1, Infinity])/7 + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((829*S[5, Infinity])/896 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, 1, -2, Infinity] -> (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (837*S[2, Infinity]^2*S[3, Infinity])/160 + (8371*S[7, Infinity])/256 + 
   4*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/10 - (73*S[3, Infinity]^2)/16 + 
     4*S[-5, -1, Infinity] - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-273*S[5, Infinity])/32 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, -1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 - 
   (513*S[2, Infinity]^2*S[3, Infinity])/560 + (23651*S[7, Infinity])/896 + 
   S[-1, Infinity]*((-409*S[2, Infinity]^3)/280 - (47*S[3, Infinity]^2)/28 + 
     (29*S[-5, -1, Infinity])/7) + (29*S[-5, 1, 1, Infinity])/7 + 
   (29*S[5, -1, -1, Infinity])/7 + S[2, Infinity]*
    ((-7265*S[5, Infinity])/448 - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, -1, -2, Infinity] -> (17*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (2053*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/8 + 
     (31*S[5, Infinity])/4) - (72581*S[7, Infinity])/1792 + 
   (10*S[-5, 1, 1, Infinity])/7 - (46*S[5, -1, -1, Infinity])/7 - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((751*S[2, Infinity]^3)/112 - (277*S[3, Infinity]^2)/112 - 
     (18*S[-5, -1, Infinity])/7 - 12*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((42307*S[5, Infinity])/896 + 26*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, -2, 1, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/3 - 
   2*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] - 
   (451*S[2, Infinity]^2*S[3, Infinity])/64 - 
   (141*S[2, Infinity]*S[5, Infinity])/8 + (23599*S[7, Infinity])/512 + 
   S[-1, Infinity]*((-21*S[2, Infinity]^3)/20 - (85*S[3, Infinity]^2)/16 + 
     6*S[-5, -1, Infinity]) + 6*S[-5, 1, 1, Infinity] + 
   6*S[5, -1, -1, Infinity] - 8*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -2, -2, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   S[-1, Infinity]^3*S[2, Infinity]^2 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 - 
   (3*S[2, Infinity]^2*S[3, Infinity])/2 + (415*S[7, Infinity])/16 + 
   S[-1, Infinity]*((-431*S[2, Infinity]^3)/140 - (125*S[3, Infinity]^2)/32 + 
     4*S[-5, -1, Infinity]) + 4*S[-5, 1, 1, Infinity] + 
   4*S[5, -1, -1, Infinity] + S[2, Infinity]*((-745*S[5, Infinity])/32 - 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[2, -3, 1, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (33*S[2, Infinity]^2*S[3, Infinity])/1120 - (3669*S[7, Infinity])/896 + 
   (29*S[-5, 1, 1, Infinity])/14 - (3*S[5, -1, -1, Infinity])/7 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((3*S[2, Infinity]^3)/40 - (185*S[3, Infinity]^2)/112 - 
     (3*S[-5, -1, Infinity])/7 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1999*S[5, Infinity])/448 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[2, -3, 1, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (337*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((-31*S[2, Infinity]*S[3, Infinity])/8 - 
     (527*S[5, Infinity])/64) - (6809*S[2, Infinity]*S[5, Infinity])/448 + 
   (49965*S[7, Infinity])/1792 - (12*S[-5, 1, 1, Infinity])/7 + 
   (30*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-93*S[2, Infinity]^3)/28 + (15*S[3, Infinity]^2)/7 - 
     (12*S[-5, -1, Infinity])/7 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[2, -3, -1, 1, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   (2123*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (2587*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 + 
     (217*S[5, Infinity])/64) - (19233*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-65*S[2, Infinity]^3)/112 - (55*S[3, Infinity]^2)/28 + 
     (11*S[-5, -1, Infinity])/7) + (11*S[-5, 1, 1, Infinity])/7 - 
   (27*S[5, -1, -1, Infinity])/14 - 4*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity], S[2, -3, -1, -1, Infinity] -> 
  (527*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (11359*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/8 + 
     (155*S[5, Infinity])/16) - (77545*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((1563*S[2, Infinity]^3)/560 - (2227*S[3, Infinity]^2)/
      448 + (3*S[-5, -1, Infinity])/14) + (12*S[-5, 1, 1, Infinity])/7 - 
   (58*S[5, -1, -1, Infinity])/7, S[-1, 4, 1, 1, Infinity] -> 
  (1023*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (93*S[-1, Infinity]^2*S[5, Infinity])/32 + 
   (1039*S[2, Infinity]*S[5, Infinity])/112 - (61325*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((209*S[2, Infinity]^3)/336 - (631*S[3, Infinity]^2)/448 - 
     (9*S[-5, -1, Infinity])/7) + (17*S[-5, 1, 1, Infinity])/14 - 
   (39*S[5, -1, -1, Infinity])/14, S[-1, 4, 1, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/12 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (2349*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/4 - 
     (155*S[5, Infinity])/64) + (1735*S[2, Infinity]*S[5, Infinity])/448 - 
   (8797*S[7, Infinity])/896 - (15*S[-5, 1, 1, Infinity])/7 - 
   (15*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((67*S[2, Infinity]^3)/168 + (1543*S[3, Infinity]^2)/448 - 
     (65*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, 4, -1, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (181*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (8121*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 + 
     (651*S[5, Infinity])/64) - (11803*S[7, Infinity])/448 + 
   (43*S[-5, 1, 1, Infinity])/7 - (48*S[5, -1, -1, Infinity])/7 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((143*S[2, Infinity]^3)/120 - (325*S[3, Infinity]^2)/56 + 
     (15*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, 4, -1, -1, Infinity] -> (-3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (783*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (907*S[2, Infinity]*S[5, Infinity])/28 + S[-1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/4 + (31*S[5, Infinity])/2) - 
   (47679*S[7, Infinity])/896 + S[-1, Infinity]*((901*S[2, Infinity]^3)/240 - 
     (1461*S[3, Infinity]^2)/224 + (8*S[-5, -1, Infinity])/7) + 
   (36*S[-5, 1, 1, Infinity])/7 - (76*S[5, -1, -1, Infinity])/7, 
 S[-1, 3, 2, 1, Infinity] -> (-2239*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (217*S[-1, Infinity]^2*S[5, Infinity])/32 - 
   (477*S[2, Infinity]*S[5, Infinity])/28 + (12455*S[7, Infinity])/448 + 
   S[-1, Infinity]*((-2899*S[2, Infinity]^3)/1680 + 
     (535*S[3, Infinity]^2)/224 + (12*S[-5, -1, Infinity])/7) - 
   (23*S[-5, 1, 1, Infinity])/7 + (73*S[5, -1, -1, Infinity])/14, 
 S[-1, 3, 2, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/6 - 
   S[-1, Infinity]^3*S[2, Infinity]^2 + (13*S[-1, Infinity]^4*S[3, Infinity])/
    48 - (4471*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (1171*S[2, Infinity]*S[5, Infinity])/224 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/2 + 
     (155*S[5, Infinity])/32) + (25447*S[7, Infinity])/1792 + 
   (24*S[-5, 1, 1, Infinity])/7 + (24*S[5, -1, -1, Infinity])/7 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-469*S[2, Infinity]^3)/240 - (1345*S[3, Infinity]^2)/
      224 + (59*S[-5, -1, Infinity])/7 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, 3, 1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (313*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/16) - (4859*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-229*S[2, Infinity]^3)/560 + (641*S[3, Infinity]^2)/
      448 - (5*S[-5, -1, Infinity])/14) - (19*S[-5, 1, 1, Infinity])/14 + 
   (9*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((-873*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, 1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (81*S[2, Infinity]^2*S[3, Infinity])/64 + (2739*S[7, Infinity])/256 + 
   S[-1, Infinity]*((-237*S[2, Infinity]^3)/560 - (57*S[3, Infinity]^2)/64 + 
     (3*S[-5, -1, Infinity])/2) + S[-5, 1, 1, Infinity]/2 + 
   (3*S[5, -1, -1, Infinity])/2 + S[2, Infinity]*((-347*S[5, Infinity])/64 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 3, -1, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/5 + 
   (4*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (383*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/8 - 
     (93*S[5, Infinity])/8) + (19113*S[7, Infinity])/896 - 
   (68*S[-5, 1, 1, Infinity])/7 + (51*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*(S[2, Infinity]^3/4 + (277*S[3, Infinity]^2)/28 - 
     (26*S[-5, -1, Infinity])/7 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-96*S[5, Infinity])/7 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 3, -1, -2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   (33*S[2, Infinity]^2*S[3, Infinity])/70 + S[-1, Infinity]^2*
    (S[2, Infinity]*S[3, Infinity] - (217*S[5, Infinity])/16) + 
   (12937*S[7, Infinity])/448 - (50*S[-5, 1, 1, Infinity])/7 + 
   (48*S[5, -1, -1, Infinity])/7 + 4*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((-171*S[2, Infinity]^3)/70 + 
     (187*S[3, Infinity]^2)/28 - (8*S[-5, -1, Infinity])/7 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1247*S[5, Infinity])/56 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 3, -2, 1, Infinity] -> 
  (-719*S[2, Infinity]^2*S[3, Infinity])/320 - 
   (207*S[2, Infinity]*S[5, Infinity])/32 + (291*S[7, Infinity])/16 + 
   S[-1, Infinity]*((101*S[2, Infinity]^3)/420 - (55*S[3, Infinity]^2)/64 + 
     3*S[-5, -1, Infinity]) + S[-5, 1, 1, Infinity]/2 + 
   3*S[5, -1, -1, Infinity], S[-1, 3, -2, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/12 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   (621*S[2, Infinity]^2*S[3, Infinity])/140 + 
   S[-1, Infinity]^2*((-35*S[2, Infinity]*S[3, Infinity])/8 - 
     (155*S[5, Infinity])/16) - (3137*S[2, Infinity]*S[5, Infinity])/112 + 
   (91289*S[7, Infinity])/1792 - (4*S[-5, 1, 1, Infinity])/7 + 
   (66*S[5, -1, -1, Infinity])/7 - 4*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((-347*S[2, Infinity]^3)/120 + 
     (215*S[3, Infinity]^2)/448 + (27*S[-5, -1, Infinity])/14 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, 2, 3, 1, Infinity] -> (-5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1011*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (4377*S[2, Infinity]*S[5, Infinity])/224 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/8 + 
     (93*S[5, Infinity])/32) - (137799*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((137*S[2, Infinity]^3)/120 - (13*S[3, Infinity]^2)/224 - 
     (55*S[-5, -1, Infinity])/14) + (15*S[-5, 1, 1, Infinity])/14 - 
   (38*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-1, 2, 3, -1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (143*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/2 - 
     (155*S[5, Infinity])/32) + (33*S[2, Infinity]*S[5, Infinity])/32 - 
   (707*S[7, Infinity])/128 - 2*S[-5, 1, 1, Infinity] - 
   2*S[5, -1, -1, Infinity] + (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((659*S[2, Infinity]^3)/840 + (135*S[3, Infinity]^2)/32 - 
     7*S[-5, -1, Infinity] + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, 2, 2, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (673*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*(S[2, Infinity]*S[3, Infinity] + 
     (31*S[5, Infinity])/4) - (49541*S[7, Infinity])/1792 + 
   (18*S[-5, 1, 1, Infinity])/7 - (38*S[5, -1, -1, Infinity])/7 + 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((113*S[2, Infinity]^3)/80 - (143*S[3, Infinity]^2)/112 - 
     (10*S[-5, -1, Infinity])/7 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((2753*S[5, Infinity])/224 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, 2, -2, Infinity] -> 
  (-3*S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (25*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (5143*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (67545*S[7, Infinity])/1792 - (24*S[-5, 1, 1, Infinity])/7 - 
   (52*S[5, -1, -1, Infinity])/7 + 4*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((329*S[2, Infinity]^3)/80 + 
     (599*S[3, Infinity]^2)/112 - (52*S[-5, -1, Infinity])/7 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2899*S[5, Infinity])/112 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, 1, 3, Infinity] -> 
  (-3*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (1707*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/16) - (885*S[2, Infinity]*S[5, Infinity])/896 - 
   (11223*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((-181*S[2, Infinity]^3)/420 + (515*S[3, Infinity]^2)/224 - 
     (3*S[-5, -1, Infinity])/14) - (17*S[-5, 1, 1, Infinity])/14 + 
   (11*S[5, -1, -1, Infinity])/14 + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[-1, 2, 1, -3, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (75*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (7337*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (9091*S[2, Infinity]*S[5, Infinity])/448 + (42479*S[7, Infinity])/896 + 
   (37*S[-5, 1, 1, Infinity])/7 + (44*S[5, -1, -1, Infinity])/7 - 
   (33*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-208*S[2, Infinity]^3)/105 - (1305*S[3, Infinity]^2)/
      224 + (44*S[-5, -1, Infinity])/7 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, 2, -1, 3, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1679*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/4) - (13857*S[7, Infinity])/448 + 
   (32*S[-5, 1, 1, Infinity])/7 - (59*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-2161*S[2, Infinity]^3)/1680 - 
     (881*S[3, Infinity]^2)/224 + (4*S[-5, -1, Infinity])/7 + 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1003*S[5, Infinity])/224 - 
     16*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, -1, -3, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (23*S[2, Infinity]^2*S[3, Infinity])/16 + S[-1, Infinity]^2*
    ((7*S[2, Infinity]*S[3, Infinity])/8 + (93*S[5, Infinity])/16) - 
   (2885*S[7, Infinity])/128 + 2*S[-5, 1, 1, Infinity] - 
   4*S[5, -1, -1, Infinity] - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((4841*S[2, Infinity]^3)/1680 - (23*S[3, Infinity]^2)/32 - 
     2*S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1271*S[5, Infinity])/64 + 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -2, 2, Infinity] -> (23*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (13*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (17*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (45*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 - 
   (7341*S[2, Infinity]^2*S[3, Infinity])/560 + (161515*S[7, Infinity])/
    1792 + (83*S[-5, 1, 1, Infinity])/7 + (83*S[5, -1, -1, Infinity])/7 - 
   17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-433*S[2, Infinity]^3)/112 - (1415*S[3, Infinity]^2)/
      112 + (83*S[-5, -1, Infinity])/7 - 10*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7571*S[5, Infinity])/224 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -2, -2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (15*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (4317*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (33539*S[7, Infinity])/1792 - (10*S[-5, 1, 1, Infinity])/7 - 
   (10*S[5, -1, -1, Infinity])/7 + 4*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*((31*S[2, Infinity]^3)/560 + 
     (347*S[3, Infinity]^2)/112 - (10*S[-5, -1, Infinity])/7 + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1649*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, -3, 1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (31*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (1279*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (509*S[2, Infinity]*S[5, Infinity])/224 - (1041*S[7, Infinity])/1792 + 
   (13*S[-5, 1, 1, Infinity])/14 - (11*S[5, -1, -1, Infinity])/7 - 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((617*S[2, Infinity]^3)/840 - (23*S[3, Infinity]^2)/448 - 
     (11*S[-5, -1, Infinity])/7 + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, 2, -3, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (109*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (193*S[2, Infinity]*S[5, Infinity])/16 + S[-1, Infinity]^2*
    ((-17*S[2, Infinity]*S[3, Infinity])/8 + (155*S[5, Infinity])/16) - 
   (1965*S[7, Infinity])/128 + 6*S[-5, 1, 1, Infinity] - 
   4*S[5, -1, -1, Infinity] - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((223*S[2, Infinity]^3)/240 - (381*S[3, Infinity]^2)/64 + 
     (7*S[-5, -1, Infinity])/2 - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, 1, 4, 1, Infinity] -> (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (11*S[2, Infinity]^2*S[3, Infinity])/16 - 
   (379*S[2, Infinity]*S[5, Infinity])/64 + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/16 + (127*S[5, Infinity])/64) + 
   (141*S[7, Infinity])/16 + S[-1, Infinity]*((-163*S[2, Infinity]^3)/420 - 
     (41*S[3, Infinity]^2)/64 + (5*S[-5, -1, Infinity])/2) + 
   S[5, -1, -1, Infinity] - (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[-1, 1, 4, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (23*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (2595*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/16 + 
     (437*S[5, Infinity])/64) - (15819*S[7, Infinity])/1792 + 
   (19*S[-5, 1, 1, Infinity])/7 - (9*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/6 - (1905*S[3, Infinity]^2)/448 + 
     (73*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, 1, 3, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (731*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/4 - 
     (113*S[5, Infinity])/64) + (2875*S[7, Infinity])/512 + 
   (3*S[-5, 1, 1, Infinity])/2 + S[5, -1, -1, Infinity] - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-787*S[2, Infinity]^3)/1680 - (55*S[3, Infinity]^2)/32 - 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((39*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 3, -2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (243*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/16 - 
     (67*S[5, Infinity])/16) + (1233*S[7, Infinity])/256 - 
   (3*S[-5, 1, 1, Infinity])/2 + S[5, -1, -1, Infinity]/2 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((19*S[2, Infinity]^3)/336 + (79*S[3, Infinity]^2)/32 - 
     3*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-265*S[5, Infinity])/64 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 2, 3, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (4747*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 - 
     (103*S[5, Infinity])/64) + (2231*S[7, Infinity])/112 + 
   S[-1, Infinity]*((-19*S[2, Infinity]^3)/42 + (25*S[3, Infinity]^2)/448 + 
     (23*S[-5, -1, Infinity])/14) - (13*S[-5, 1, 1, Infinity])/7 + 
   (37*S[5, -1, -1, Infinity])/14 - 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-9035*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, 2, -3, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (1447*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/16 + 
     (13*S[5, Infinity])/16) - (38217*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-137*S[2, Infinity]^3)/210 + (585*S[3, Infinity]^2)/
      448 + (9*S[-5, -1, Infinity])/14) - (20*S[-5, 1, 1, Infinity])/7 - 
   (6*S[5, -1, -1, Infinity])/7 + 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((2395*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, 1, 4, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
   (S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (45*S[2, Infinity]^2*S[3, Infinity])/56 + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/16 + (61*S[5, Infinity])/32) - 
   (40669*S[7, Infinity])/3584 + S[-1, Infinity]*((43*S[2, Infinity]^3)/560 - 
     (23*S[3, Infinity]^2)/28 - S[-5, -1, Infinity]/7) + 
   (19*S[-5, 1, 1, Infinity])/14 - (23*S[5, -1, -1, Infinity])/14 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((2421*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 1, -4, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (3*S[2, Infinity]^2*S[3, Infinity])/8 + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/4 - (33*S[5, Infinity])/64) + 
   (1643*S[7, Infinity])/256 + S[-1, Infinity]*((22*S[2, Infinity]^3)/35 + 
     S[3, Infinity]^2/4 - S[-5, -1, Infinity]) + S[-5, 1, 1, Infinity]/2 - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-55*S[5, Infinity])/64 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -1, 4, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (9*S[2, Infinity]^2*S[3, Infinity])/40 + S[-1, Infinity]^2*
    ((-11*S[2, Infinity]*S[3, Infinity])/16 - (33*S[5, Infinity])/64) - 
   5*S[7, Infinity] - S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((127*S[2, Infinity]^3)/280 + (5*S[3, Infinity]^2)/16 - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((403*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -1, -4, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (279*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/16 + 
     (61*S[5, Infinity])/32) + (179*S[7, Infinity])/224 - 
   S[-5, 1, 1, Infinity]/7 - (9*S[5, -1, -1, Infinity])/14 + 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-11*S[2, Infinity]^3)/112 - (85*S[3, Infinity]^2)/112 + 
     (6*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-275*S[5, Infinity])/112 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, -2, 3, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (5*S[2, Infinity]^2*S[3, Infinity])/8 + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/4 - (67*S[5, Infinity])/32) + 
   (369*S[7, Infinity])/128 + S[-1, Infinity]*((2159*S[2, Infinity]^3)/1680 + 
     (109*S[3, Infinity]^2)/64 - 3*S[-5, -1, Infinity]) - 
   S[-5, 1, 1, Infinity]/2 - S[5, -1, -1, Infinity]/2 + 
   S[2, Infinity]*((31*S[5, Infinity])/16 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -2, -3, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (1803*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/16 + 
     (83*S[5, Infinity])/64) - (8857*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-29*S[2, Infinity]^3)/84 - (957*S[3, Infinity]^2)/448 + 
     S[-5, -1, Infinity]/14) + (18*S[-5, 1, 1, Infinity])/7 - 
   (13*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((93*S[5, Infinity])/28 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -3, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (4519*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((37*S[2, Infinity]*S[3, Infinity])/16 + 
     (83*S[5, Infinity])/32) - (27445*S[7, Infinity])/896 - 
   (22*S[-5, 1, 1, Infinity])/7 - (22*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((283*S[2, Infinity]^3)/840 + (913*S[3, Infinity]^2)/448 - 
     (9*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((1013*S[5, Infinity])/112 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, -3, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/40 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (2313*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 + 
     (73*S[5, Infinity])/64) + (7827*S[7, Infinity])/896 - 
   (4*S[-5, 1, 1, Infinity])/7 + (13*S[5, -1, -1, Infinity])/14 - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-451*S[2, Infinity]^3)/1680 - (331*S[3, Infinity]^2)/
      448 + (27*S[-5, -1, Infinity])/14 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1859*S[5, Infinity])/448 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -4, 1, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (143*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/2 - 
     (107*S[5, Infinity])/32) + (27*S[2, Infinity]*S[5, Infinity])/32 - 
   (403*S[7, Infinity])/128 + S[-1, Infinity]*((53*S[2, Infinity]^3)/168 + 
     (23*S[3, Infinity]^2)/8 - (5*S[-5, -1, Infinity])/2) - 
   (5*S[-5, 1, 1, Infinity])/2 + 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, 1, -4, -1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (1807*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((23*S[2, Infinity]*S[3, Infinity])/16 - 
     (231*S[5, Infinity])/32) - (789*S[2, Infinity]*S[5, Infinity])/112 + 
   (18651*S[7, Infinity])/1792 - (27*S[-5, 1, 1, Infinity])/7 + 
   (37*S[5, -1, -1, Infinity])/14 + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*((-349*S[2, Infinity]^3)/1680 + 
     (975*S[3, Infinity]^2)/224 - (27*S[-5, -1, Infinity])/7 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, -1, 4, 1, Infinity] -> (-675*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 - 
     (107*S[5, Infinity])/32) - (75*S[2, Infinity]*S[5, Infinity])/7 + 
   (97641*S[7, Infinity])/3584 + S[-1, Infinity]*
    ((-583*S[2, Infinity]^3)/1680 + (197*S[3, Infinity]^2)/448 + 
     (9*S[-5, -1, Infinity])/7) - (3*S[-5, 1, 1, Infinity])/14 + 
   (53*S[5, -1, -1, Infinity])/14, S[-1, -1, 4, -1, Infinity] -> 
  (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (619*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/16 - 
     (231*S[5, Infinity])/32) - (3509*S[2, Infinity]*S[5, Infinity])/224 + 
   (51277*S[7, Infinity])/1792 + S[-1, Infinity]*
    ((-221*S[2, Infinity]^3)/336 + (733*S[3, Infinity]^2)/448 - 
     (15*S[-5, -1, Infinity])/14) - (18*S[-5, 1, 1, Infinity])/7 + 
   (38*S[5, -1, -1, Infinity])/7, S[-1, -1, 3, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (251*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/8 + 
     (83*S[5, Infinity])/32) - (15545*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((109*S[2, Infinity]^3)/336 - (11*S[3, Infinity]^2)/14 - 
     (4*S[-5, -1, Infinity])/7) + (3*S[-5, 1, 1, Infinity])/7 - 
   (43*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((1557*S[5, Infinity])/448 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 3, -2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (79*S[2, Infinity]^2*S[3, Infinity])/40 + S[-1, Infinity]^2*
    ((9*S[2, Infinity]*S[3, Infinity])/16 + (73*S[5, Infinity])/64) - 
   (965*S[7, Infinity])/128 + S[-1, Infinity]*((-89*S[2, Infinity]^3)/840 + 
     (3*S[3, Infinity]^2)/4 + S[-5, -1, Infinity]) + 
   2*S[-5, 1, 1, Infinity] + S[2, Infinity]*((217*S[5, Infinity])/128 + 
     S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, 2, 3, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (183*S[2, Infinity]^2*S[3, Infinity])/40 + 
   S[-1, Infinity]^2*((-19*S[2, Infinity]*S[3, Infinity])/8 - 
     (67*S[5, Infinity])/32) + (16649*S[7, Infinity])/512 + 
   (5*S[-5, 1, 1, Infinity])/2 + 4*S[5, -1, -1, Infinity] - 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((209*S[2, Infinity]^3)/420 - (59*S[3, Infinity]^2)/32 + 
     (3*S[-5, -1, Infinity])/2 - 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-171*S[5, Infinity])/32 + 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 2, -3, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (951*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 + 
     (83*S[5, Infinity])/64) - (16039*S[7, Infinity])/1792 + 
   (4*S[-5, 1, 1, Infinity])/7 - (10*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-433*S[2, Infinity]^3)/1680 + (127*S[3, Infinity]^2)/
      224 - (3*S[-5, -1, Infinity])/7 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[5, Infinity]/14 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, 1, 4, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
   (17*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (129*S[2, Infinity]^2*S[3, Infinity])/70 + 
   S[-1, Infinity]^2*((25*S[2, Infinity]*S[3, Infinity])/16 - 
     (219*S[5, Infinity])/64) - (547*S[7, Infinity])/1792 - 
   (26*S[-5, 1, 1, Infinity])/7 + (2*S[5, -1, -1, Infinity])/7 + 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((27*S[2, Infinity]^3)/140 + (1625*S[3, Infinity]^2)/448 - 
     (31*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-643*S[5, Infinity])/224 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, 1, -4, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (9*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
   (11*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (3893*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-15*S[2, Infinity]*S[3, Infinity])/16 - 
     S[5, Infinity]) + (5451*S[7, Infinity])/896 + S[-5, 1, 1, Infinity]/7 + 
   (23*S[5, -1, -1, Infinity])/14 - 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-129*S[2, Infinity]^3)/140 - (535*S[3, Infinity]^2)/
      448 + (23*S[-5, -1, Infinity])/14 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-2903*S[5, Infinity])/896 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, -1, 4, Infinity] -> (-7*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
   (81*S[2, Infinity]^2*S[3, Infinity])/80 + 
   S[-1, Infinity]*((-71*S[2, Infinity]^3)/112 + (3*S[3, Infinity]^2)/4) + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/16 - 
     S[5, Infinity]) - (S[2, Infinity]*S[5, Infinity])/16 - 5*S[7, Infinity], 
 S[-1, -1, -1, -4, Infinity] -> (S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
   (2209*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
     (219*S[5, Infinity])/64) - (4801*S[2, Infinity]*S[5, Infinity])/448 + 
   (5589*S[7, Infinity])/224 + S[-1, Infinity]*((-123*S[2, Infinity]^3)/560 + 
     (4*S[3, Infinity]^2)/7 + S[-5, -1, Infinity]/7) + 
   S[-5, 1, 1, Infinity]/7 + (37*S[5, -1, -1, Infinity])/14, 
 S[-1, -1, -2, 3, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (159*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/8 - 
     (103*S[5, Infinity])/64) + (1535*S[7, Infinity])/1792 - 
   (4*S[-5, 1, 1, Infinity])/7 + (10*S[5, -1, -1, Infinity])/7 - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-403*S[2, Infinity]^3)/1680 + (181*S[3, Infinity]^2)/
      224 + (3*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((139*S[5, Infinity])/112 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, -2, -3, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/10 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1787*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((31*S[2, Infinity]*S[3, Infinity])/16 + 
     (13*S[5, Infinity])/16) - (3869*S[7, Infinity])/1792 - 
   (4*S[-5, 1, 1, Infinity])/7 - (15*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1033*S[2, Infinity]^3)/1680 + 
     (181*S[3, Infinity]^2)/224 + (3*S[-5, -1, Infinity])/7 + 
     4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1535*S[5, Infinity])/224 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, -3, 2, Infinity] -> 
  (-21*S[2, Infinity]^2*S[3, Infinity])/40 + S[-1, Infinity]^2*
    ((-5*S[2, Infinity]*S[3, Infinity])/16 - (113*S[5, Infinity])/64) - 
   (S[2, Infinity]*S[5, Infinity])/8 - (211*S[7, Infinity])/128 + 
   S[-1, Infinity]*((-493*S[2, Infinity]^3)/1680 - S[3, Infinity]^2/4 - 
     S[-5, -1, Infinity]) - 2*S[-5, 1, 1, Infinity], 
 S[-1, -1, -3, -2, Infinity] -> (-529*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/8 - 
     (67*S[5, Infinity])/16) - (407*S[2, Infinity]*S[5, Infinity])/32 + 
   (3993*S[7, Infinity])/128 + S[-1, Infinity]*
    ((-1081*S[2, Infinity]^3)/1680 + (3*S[3, Infinity]^2)/4 + 
     S[-5, -1, Infinity]) + (9*S[5, -1, -1, Infinity])/2, 
 S[-1, -1, -4, 1, Infinity] -> (2297*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (4415*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 + 
     (127*S[5, Infinity])/64) - (37197*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((461*S[2, Infinity]^3)/1680 - (137*S[3, Infinity]^2)/
      224 - (9*S[-5, -1, Infinity])/7) + (19*S[-5, 1, 1, Infinity])/7 - 
   (39*S[5, -1, -1, Infinity])/14, S[-1, -1, -4, -1, Infinity] -> 
  (-3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (3607*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (9271*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/2 + 
     (437*S[5, Infinity])/64) - (69865*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((59*S[2, Infinity]^3)/60 - (449*S[3, Infinity]^2)/224 - 
     (11*S[-5, -1, Infinity])/7) + (17*S[-5, 1, 1, Infinity])/7 - 
   (113*S[5, -1, -1, Infinity])/14, S[-1, -2, 3, 1, Infinity] -> 
  -(S[-1, Infinity]^4*S[3, Infinity])/3 + 2*S[-1, Infinity]^2*S[2, Infinity]*
    S[3, Infinity] + (257*S[2, Infinity]^2*S[3, Infinity])/70 + 
   (1537*S[2, Infinity]*S[5, Infinity])/224 - (11951*S[7, Infinity])/896 + 
   S[-1, Infinity]*((1433*S[2, Infinity]^3)/840 + (779*S[3, Infinity]^2)/
      224 - (13*S[-5, -1, Infinity])/7) - (47*S[-5, 1, 1, Infinity])/14 - 
   (13*S[5, -1, -1, Infinity])/7 + 8*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -2, 3, -1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (671*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((29*S[2, Infinity]*S[3, Infinity])/8 - 
     (155*S[5, Infinity])/16) - (975*S[2, Infinity]*S[5, Infinity])/112 + 
   (8255*S[7, Infinity])/896 - (50*S[-5, 1, 1, Infinity])/7 + 
   (20*S[5, -1, -1, Infinity])/7 + S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((55*S[2, Infinity]^3)/168 + (797*S[3, Infinity]^2)/112 - 
     (79*S[-5, -1, Infinity])/14 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, -2, 2, 2, Infinity] -> 
  (-2*S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (751*S[2, Infinity]^2*S[3, Infinity])/140 - (125723*S[7, Infinity])/3584 - 
   (46*S[-5, 1, 1, Infinity])/7 - (18*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((25*S[2, Infinity]^3)/28 + (139*S[3, Infinity]^2)/28 - 
     (18*S[-5, -1, Infinity])/7 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((4441*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, 2, -2, Infinity] -> 
  (19*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (29*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (25441*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-39*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/4) + (148171*S[7, Infinity])/1792 + 
   (38*S[-5, 1, 1, Infinity])/7 + (94*S[5, -1, -1, Infinity])/7 - 
   (29*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-3259*S[2, Infinity]^3)/560 - (879*S[3, Infinity]^2)/
      112 + (66*S[-5, -1, Infinity])/7 - 8*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-34945*S[5, Infinity])/896 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 1, 3, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (47*S[2, Infinity]^2*S[3, Infinity])/28 + 
   (1371*S[2, Infinity]*S[5, Infinity])/448 - (11315*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((1163*S[2, Infinity]^3)/1680 + (409*S[3, Infinity]^2)/
      448 - (23*S[-5, -1, Infinity])/14) - (9*S[-5, 1, 1, Infinity])/14 - 
   (23*S[5, -1, -1, Infinity])/14 + S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -2, 1, -3, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (5231*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (10391*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/16) - (41887*S[7, Infinity])/1792 - 
   (25*S[-5, 1, 1, Infinity])/14 - (53*S[5, -1, -1, Infinity])/14 + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((2651*S[2, Infinity]^3)/1680 + (1049*S[3, Infinity]^2)/
      448 - (39*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, -2, -1, 3, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (519*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/8 - 
     (93*S[5, Infinity])/16) + (2711*S[7, Infinity])/128 - 
   2*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-1417*S[2, Infinity]^3)/420 + (5*S[3, Infinity]^2)/8 + 
     2*S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1311*S[5, Infinity])/64 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, -1, -3, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (683*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/4) + (50559*S[7, Infinity])/1792 - 
   (69*S[-5, 1, 1, Infinity])/14 + (113*S[5, -1, -1, Infinity])/14 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((419*S[2, Infinity]^3)/240 + (30*S[3, Infinity]^2)/7 - 
     (13*S[-5, -1, Infinity])/14 - 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-61*S[5, Infinity])/28 + 
     16*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, -2, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/5 + 
   (4*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (55*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (10791*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (78531*S[7, Infinity])/1792 - (46*S[-5, 1, 1, Infinity])/7 - 
   (46*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((453*S[2, Infinity]^3)/140 + (675*S[3, Infinity]^2)/112 - 
     (46*S[-5, -1, Infinity])/7 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((5185*S[5, Infinity])/224 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, -2, -2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/10 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (6201*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (16545*S[7, Infinity])/1792 - (13*S[-5, 1, 1, Infinity])/7 - 
   (13*S[5, -1, -1, Infinity])/7 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((9*S[2, Infinity]^3)/280 + (65*S[3, Infinity]^2)/28 - 
     (13*S[-5, -1, Infinity])/7 + 4*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-125*S[5, Infinity])/56 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, -3, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (31*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1039*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((-73*S[2, Infinity]*S[3, Infinity])/16 - 
     (155*S[5, Infinity])/32) - (489*S[2, Infinity]*S[5, Infinity])/16 + 
   (7325*S[7, Infinity])/128 + 2*S[-5, 1, 1, Infinity] + 
   (19*S[5, -1, -1, Infinity])/2 - 
   (31*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-181*S[2, Infinity]^3)/48 - 3*S[3, Infinity]^2 + 
     7*S[-5, -1, Infinity] - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, -2, -3, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (215*S[2, Infinity]^2*S[3, Infinity])/112 - 
   (19*S[2, Infinity]*S[5, Infinity])/56 + S[-1, Infinity]^2*
    (-4*S[2, Infinity]*S[3, Infinity] + (217*S[5, Infinity])/32) + 
   (9547*S[7, Infinity])/1792 + (53*S[-5, 1, 1, Infinity])/14 + 
   (25*S[5, -1, -1, Infinity])/14 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-653*S[2, Infinity]^3)/420 - (1417*S[3, Infinity]^2)/
      224 + (123*S[-5, -1, Infinity])/14 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, -3, 2, 1, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/6 - S[-1, Infinity]^2*S[2, Infinity]*
    S[3, Infinity] + (201*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (267*S[2, Infinity]*S[5, Infinity])/112 - (19233*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-577*S[2, Infinity]^3)/1680 - (467*S[3, Infinity]^2)/
      448 - (27*S[-5, -1, Infinity])/14) + (11*S[-5, 1, 1, Infinity])/7 - 
   (27*S[5, -1, -1, Infinity])/14 - 4*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity], S[-1, -3, 2, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (913*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (2761*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((11*S[2, Infinity]*S[3, Infinity])/4 + 
     (155*S[5, Infinity])/16) - (77545*S[7, Infinity])/1792 + 
   (12*S[-5, 1, 1, Infinity])/7 - (58*S[5, -1, -1, Infinity])/7 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((743*S[2, Infinity]^3)/240 - (547*S[3, Infinity]^2)/448 - 
     (25*S[-5, -1, Infinity])/14 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, -3, 1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (3433*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (40331*S[7, Infinity])/1792 + (20*S[-5, 1, 1, Infinity])/7 + 
   (13*S[5, -1, -1, Infinity])/7 - 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/280 - (65*S[3, Infinity]^2)/28 + 
     (13*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1327*S[5, Infinity])/224 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, 1, -2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (4803*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((15*S[2, Infinity]*S[3, Infinity])/16 + 
     (31*S[5, Infinity])/16) - (25623*S[7, Infinity])/1792 + 
   (5*S[-5, 1, 1, Infinity])/14 - (23*S[5, -1, -1, Infinity])/14 + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((67*S[2, Infinity]^3)/280 + (45*S[3, Infinity]^2)/56 - 
     (9*S[-5, -1, Infinity])/14 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2085*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, -1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (11*S[2, Infinity]^2*S[3, Infinity])/56 + 
   (9115*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 + 
     (217*S[5, Infinity])/16) - (12713*S[7, Infinity])/448 + 
   (50*S[-5, 1, 1, Infinity])/7 - (48*S[5, -1, -1, Infinity])/7 - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((1209*S[2, Infinity]^3)/560 - (187*S[3, Infinity]^2)/28 + 
     (8*S[-5, -1, Infinity])/7 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, -3, -1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (13*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (233*S[2, Infinity]^2*S[3, Infinity])/140 + 
   (1849*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((-39*S[2, Infinity]*S[3, Infinity])/16 + 
     (93*S[5, Infinity])/8) - (34897*S[7, Infinity])/1792 + 
   (141*S[-5, 1, 1, Infinity])/14 - (97*S[5, -1, -1, Infinity])/14 - 
   (39*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((113*S[2, Infinity]^3)/560 - (579*S[3, Infinity]^2)/56 + 
     (57*S[-5, -1, Infinity])/14 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, -3, -2, 1, Infinity] -> 
  (-5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (961*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (1919*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/16 + 
     (155*S[5, Infinity])/32) - (54567*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((1063*S[2, Infinity]^3)/840 - (363*S[3, Infinity]^2)/
      224 - (17*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (69*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[-1, -3, -2, -1, Infinity] -> (-7*S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (31*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (2897*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((85*S[2, Infinity]*S[3, Infinity])/16 - 
     (93*S[5, Infinity])/32) + (1415*S[2, Infinity]*S[5, Infinity])/112 - 
   (26055*S[7, Infinity])/896 - (55*S[-5, 1, 1, Infinity])/14 - 
   (83*S[5, -1, -1, Infinity])/14 + 
   (31*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((3743*S[2, Infinity]^3)/1680 + (1457*S[3, Infinity]^2)/
      224 - (125*S[-5, -1, Infinity])/14 + 7*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-1, -4, 1, 1, Infinity] -> 
  (-221*S[2, Infinity]^2*S[3, Infinity])/140 - 
   (437*S[2, Infinity]*S[5, Infinity])/224 + (15949*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((47*S[2, Infinity]^3)/210 - (5*S[3, Infinity]^2)/28 + 
     (8*S[-5, -1, Infinity])/7) - (5*S[-5, 1, 1, Infinity])/14 + 
   (8*S[5, -1, -1, Infinity])/7, S[-1, -4, 1, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/24 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (4349*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/16 - 
     (155*S[5, Infinity])/64) - (5017*S[2, Infinity]*S[5, Infinity])/448 + 
   (9637*S[7, Infinity])/448 + (9*S[-5, 1, 1, Infinity])/7 + 
   (53*S[5, -1, -1, Infinity])/14 - 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*
    ((-1091*S[2, Infinity]^3)/1680 - (353*S[3, Infinity]^2)/224 + 
     (39*S[-5, -1, Infinity])/14 - S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, -4, -1, 1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/24 + 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (1713*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/16 - 
     (837*S[5, Infinity])/64) - (10999*S[2, Infinity]*S[5, Infinity])/448 + 
   (32071*S[7, Infinity])/896 - (37*S[-5, 1, 1, Infinity])/7 + 
   (115*S[5, -1, -1, Infinity])/14 + 2*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*
    ((-4253*S[2, Infinity]^3)/1680 + (761*S[3, Infinity]^2)/112 - 
     (9*S[-5, -1, Infinity])/7 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-1, -4, -1, -1, Infinity] -> (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (515*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-9*S[2, Infinity]*S[3, Infinity])/4 - 
     (341*S[5, Infinity])/32) - (4957*S[2, Infinity]*S[5, Infinity])/224 + 
   (32071*S[7, Infinity])/896 + S[-1, Infinity]*
    ((-4589*S[2, Infinity]^3)/1680 + (1081*S[3, Infinity]^2)/224 - 
     (9*S[-5, -1, Infinity])/7) - (37*S[-5, 1, 1, Infinity])/7 + 
   (115*S[5, -1, -1, Infinity])/14, S[-2, 3, 1, 1, Infinity] -> 
  (-541*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (873*S[2, Infinity]*S[5, Infinity])/112 + (26603*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/8 + (135*S[3, Infinity]^2)/224 + 
     (15*S[-5, -1, Infinity])/7) + (9*S[-5, 1, 1, Infinity])/14 + 
   (15*S[5, -1, -1, Infinity])/7, S[-2, 3, 1, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (367*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/16 + 
     (341*S[5, Infinity])/64) - (9913*S[7, Infinity])/896 + 
   (29*S[-5, 1, 1, Infinity])/14 - (27*S[5, -1, -1, Infinity])/14 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((127*S[2, Infinity]^3)/140 - (145*S[3, Infinity]^2)/56 + 
     (29*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((9115*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 3, -1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (403*S[2, Infinity]^2*S[3, Infinity])/320 + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/8 - 
     (155*S[5, Infinity])/64) + (291*S[7, Infinity])/16 + 
   S[-5, 1, 1, Infinity]/2 + 3*S[5, -1, -1, Infinity] + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-109*S[2, Infinity]^3)/80 - (5*S[3, Infinity]^2)/8 + 
     S[-5, -1, Infinity]/2 + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-893*S[5, Infinity])/64 - 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 3, -1, -1, Infinity] -> (-177*S[2, Infinity]^2*S[3, Infinity])/56 + 
   S[-1, Infinity]^2*((-27*S[2, Infinity]*S[3, Infinity])/8 - 
     (155*S[5, Infinity])/16) - (3137*S[2, Infinity]*S[5, Infinity])/112 + 
   (91289*S[7, Infinity])/1792 + S[-1, Infinity]*
    ((-1719*S[2, Infinity]^3)/560 + (2007*S[3, Infinity]^2)/448 + 
     (27*S[-5, -1, Infinity])/14) - (4*S[-5, 1, 1, Infinity])/7 + 
   (66*S[5, -1, -1, Infinity])/7, S[-2, 2, 2, 1, Infinity] -> 
  (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (279*S[2, Infinity]^2*S[3, Infinity])/80 - 
   (63*S[2, Infinity]*S[5, Infinity])/4 + (16169*S[7, Infinity])/512 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/10 - (17*S[3, Infinity]^2)/16 + 
     4*S[-5, -1, Infinity]) + 4*S[5, -1, -1, Infinity] - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-2, 2, 2, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/10 - 
   S[-1, Infinity]^3*S[2, Infinity]^2 - (127*S[2, Infinity]^2*S[3, Infinity])/
    80 + S[-1, Infinity]^2*((-21*S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/4) + (771*S[7, Infinity])/64 + 
   S[-1, Infinity]*((-27*S[2, Infinity]^3)/10 - (53*S[3, Infinity]^2)/8 + 
     6*S[-5, -1, Infinity]) + 6*S[-5, 1, 1, Infinity] + 
   2*S[5, -1, -1, Infinity] + S[2, Infinity]*((-435*S[5, Infinity])/32 - 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 2, 1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   (15*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (68*S[2, Infinity]^2*S[3, Infinity])/35 - (111*S[7, Infinity])/28 - 
   (9*S[-5, 1, 1, Infinity])/7 - (9*S[5, -1, -1, Infinity])/7 - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((9*S[2, Infinity]^3)/40 - (865*S[3, Infinity]^2)/224 - 
     (9*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((3895*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 2, 1, -2, Infinity] -> 
  (-2*S[-1, Infinity]^5*S[2, Infinity])/15 + 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (737*S[2, Infinity]^2*S[3, Infinity])/160 - (9981*S[7, Infinity])/256 - 
   4*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/10 + (73*S[3, Infinity]^2)/16 - 
     4*S[-5, -1, Infinity] + 4*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((1889*S[5, Infinity])/128 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 2, -1, 2, Infinity] -> 
  (4*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 + 
   (177*S[2, Infinity]^2*S[3, Infinity])/112 - (56841*S[7, Infinity])/1792 - 
   (19*S[-5, 1, 1, Infinity])/7 - (19*S[5, -1, -1, Infinity])/7 - 
   5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((711*S[2, Infinity]^3)/140 - (3*S[3, Infinity]^2)/28 - 
     (19*S[-5, -1, Infinity])/7 - 12*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((17831*S[5, Infinity])/448 + 28*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, -1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (177*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/8 + 
     (31*S[5, Infinity])/4) - (33147*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((45*S[2, Infinity]^3)/28 - (535*S[3, Infinity]^2)/112 - 
     (10*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (38*S[5, -1, -1, Infinity])/7 + S[2, Infinity]*
    ((2725*S[5, Infinity])/224 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, -2, 1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/5 + 
   S[-1, Infinity]^3*S[2, Infinity]^2 - (37*S[-1, Infinity]^4*S[3, Infinity])/
    48 + (29*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (461*S[2, Infinity]^2*S[3, Infinity])/32 - (749*S[7, Infinity])/8 - 
   12*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] + 
   (37*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((21*S[2, Infinity]^3)/10 + (205*S[3, Infinity]^2)/16 - 
     12*S[-5, -1, Infinity] + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2157*S[5, Infinity])/64 - 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, -2, -1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/2 + 
   3*S[-1, Infinity]^3*S[2, Infinity]^2 - (S[-1, Infinity]^4*S[3, Infinity])/
    12 + (13*S[2, Infinity]^2*S[3, Infinity])/5 + 
   S[-1, Infinity]^2*(11*S[2, Infinity]*S[3, Infinity] - 
     (31*S[5, Infinity])/4) + (23*S[2, Infinity]*S[5, Infinity])/2 - 
   (1087*S[7, Infinity])/32 - 12*S[-5, 1, 1, Infinity] - 
   4*S[5, -1, -1, Infinity] + 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((61*S[2, Infinity]^3)/20 + (125*S[3, Infinity]^2)/16 - 
     8*S[-5, -1, Infinity] + 12*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-2, 1, 3, 1, Infinity] -> (3*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (79*S[2, Infinity]*S[5, Infinity])/32 - (607*S[7, Infinity])/128 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/80 - (9*S[3, Infinity]^2)/64 - 
     S[-5, -1, Infinity]/2) + S[-5, 1, 1, Infinity]/2 - 
   S[5, -1, -1, Infinity]/2, S[-2, 1, 3, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + (S[2, Infinity]^2*S[3, Infinity])/
    160 + S[-1, Infinity]^2*((21*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/16) + (409*S[7, Infinity])/128 + 
   S[-1, Infinity]*(S[2, Infinity]^3/2 + (5*S[3, Infinity]^2)/8 - 
     S[-5, -1, Infinity]/2) - S[-5, 1, 1, Infinity]/2 + 
   S[5, -1, -1, Infinity]/2 + S[2, Infinity]*((59*S[5, Infinity])/128 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 2, 2, Infinity] -> 
  (-713*S[2, Infinity]^2*S[3, Infinity])/448 - 
   (7409*S[2, Infinity]*S[5, Infinity])/896 + (70019*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((-23*S[2, Infinity]^3)/40 + (207*S[3, Infinity]^2)/224 + 
     (23*S[-5, -1, Infinity])/7) + (23*S[-5, 1, 1, Infinity])/7 + 
   (23*S[5, -1, -1, Infinity])/7, S[-2, 1, 2, -2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/5 - S[-1, Infinity]^3*S[2, Infinity]^2 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (43*S[2, Infinity]^2*S[3, Infinity])/64 + (335*S[7, Infinity])/32 - 
   6*S[-1, Infinity]*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-135*S[5, Infinity])/128 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 1, 3, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (1203*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (433*S[2, Infinity]*S[5, Infinity])/448 - (3195*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((9*S[2, Infinity]^3)/80 - (375*S[3, Infinity]^2)/448 - 
     (9*S[-5, -1, Infinity])/14) - (9*S[-5, 1, 1, Infinity])/14 - 
   (9*S[5, -1, -1, Infinity])/14 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[-2, 1, 1, -3, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/10 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (25*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 + 
   (91*S[2, Infinity]^2*S[3, Infinity])/80 - (3217*S[7, Infinity])/256 - 
   S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/40 + (19*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity] + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((207*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -1, 3, Infinity] -> (-13*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (509*S[2, Infinity]^2*S[3, Infinity])/448 + 
   S[-1, Infinity]^2*((S[2, Infinity]*S[3, Infinity])/4 - 
     (155*S[5, Infinity])/32) + (15359*S[7, Infinity])/896 - 
   (43*S[-5, 1, 1, Infinity])/14 + (27*S[5, -1, -1, Infinity])/14 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-16*S[2, Infinity]^3)/35 + (215*S[3, Infinity]^2)/56 - 
     (43*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-1541*S[5, Infinity])/112 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -1, -3, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1289*S[2, Infinity]^2*S[3, Infinity])/448 + 
   S[-1, Infinity]^2*((-5*S[2, Infinity]*S[3, Infinity])/8 - 
     (341*S[5, Infinity])/32) + (35263*S[7, Infinity])/896 + 
   S[-1, Infinity]*((-1901*S[2, Infinity]^3)/560 + (913*S[3, Infinity]^2)/
      224 + (45*S[-5, -1, Infinity])/14) - (39*S[-5, 1, 1, Infinity])/14 + 
   (115*S[5, -1, -1, Infinity])/14 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-1395*S[5, Infinity])/56 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, -2, 2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/5 + S[-1, Infinity]^3*
    S[2, Infinity]^2 + (21*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/
    8 + (19*S[2, Infinity]^2*S[3, Infinity])/320 - (311*S[7, Infinity])/128 + 
   6*S[-1, Infinity]*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-269*S[5, Infinity])/64 - 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -2, -2, Infinity] -> (155*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (25*S[2, Infinity]*S[5, Infinity])/14 - (2305*S[7, Infinity])/448 + 
   S[-1, Infinity]*(S[2, Infinity]^3/8 - (45*S[3, Infinity]^2)/224 - 
     (5*S[-5, -1, Infinity])/7) - (5*S[-5, 1, 1, Infinity])/7 - 
   (5*S[5, -1, -1, Infinity])/7, S[-2, 1, -3, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/5 - S[-1, Infinity]^3*S[2, Infinity]^2 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 - 
   (63*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (263*S[2, Infinity]^2*S[3, Infinity])/80 + (6303*S[7, Infinity])/256 + 
   3*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity] - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-21*S[2, Infinity]^3)/40 - (15*S[3, Infinity]^2)/4 + 
     3*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-165*S[5, Infinity])/32 + 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -3, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (2771*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (879*S[2, Infinity]*S[5, Infinity])/224 + S[-1, Infinity]^2*
    ((-49*S[2, Infinity]*S[3, Infinity])/16 + (31*S[5, Infinity])/16) + 
   (4957*S[7, Infinity])/448 + (47*S[-5, 1, 1, Infinity])/14 + 
   (19*S[5, -1, -1, Infinity])/14 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-33*S[2, Infinity]^3)/40 - (183*S[3, Infinity]^2)/112 + 
     (33*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-2, -1, 3, 1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/40 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]^4*S[3, Infinity])/3 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (2409*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (10613*S[7, Infinity])/1792 + S[-1, Infinity]*
    ((-593*S[2, Infinity]^3)/560 - (55*S[3, Infinity]^2)/56 + 
     (11*S[-5, -1, Infinity])/14) + (11*S[-5, 1, 1, Infinity])/14 + 
   (11*S[5, -1, -1, Infinity])/14 - 8*S[3, Infinity]*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((4463*S[5, Infinity])/896 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, 3, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (3111*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (1821*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 + 
     (155*S[5, Infinity])/16) - (45733*S[7, Infinity])/1792 + 
   (32*S[-5, 1, 1, Infinity])/7 - (38*S[5, -1, -1, Infinity])/7 - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((249*S[2, Infinity]^3)/560 - (2091*S[3, Infinity]^2)/
      448 + (39*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-2, -1, 2, 2, Infinity] -> 
  (-3*S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (3429*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (69113*S[7, Infinity])/3584 - (5*S[-5, 1, 1, Infinity])/7 - 
   (5*S[5, -1, -1, Infinity])/7 + (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*((-1181*S[2, Infinity]^3)/560 + 
     (25*S[3, Infinity]^2)/28 - (5*S[-5, -1, Infinity])/7 + 
     6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-507*S[5, Infinity])/112 - 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, 2, -2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (973*S[2, Infinity]^2*S[3, Infinity])/320 + 
   (4287*S[2, Infinity]*S[5, Infinity])/128 + 
   S[-1, Infinity]^2*((47*S[2, Infinity]*S[3, Infinity])/8 + 
     (31*S[5, Infinity])/4) - (7709*S[7, Infinity])/128 - 
   4*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((43*S[2, Infinity]^3)/8 - (9*S[3, Infinity]^2)/4 - 
     8*S[-5, -1, Infinity] + 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-2, -1, 1, 3, Infinity] -> (2*S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (17*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (3491*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-29*S[2, Infinity]*S[3, Infinity])/16 + 
     (155*S[5, Infinity])/32) - (2385*S[7, Infinity])/448 + 
   (59*S[-5, 1, 1, Infinity])/14 - (11*S[5, -1, -1, Infinity])/14 - 
   (17*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-36*S[2, Infinity]^3)/35 - (295*S[3, Infinity]^2)/56 + 
     (59*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((3993*S[5, Infinity])/896 - 
     S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, 1, -3, Infinity] -> 
  (13*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (2741*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-29*S[2, Infinity]*S[3, Infinity])/16 + 
     (217*S[5, Infinity])/32) - (9505*S[7, Infinity])/896 + 
   (55*S[-5, 1, 1, Infinity])/14 - (43*S[5, -1, -1, Infinity])/14 + 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((9*S[2, Infinity]^3)/7 - (597*S[3, Infinity]^2)/448 - 
     S[-5, -1, Infinity]/14 - 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((8973*S[5, Infinity])/896 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, -1, 3, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (5791*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/8 + 
     (279*S[5, Infinity])/16) - (96053*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((3343*S[2, Infinity]^3)/560 - (1593*S[3, Infinity]^2)/
      224 - (30*S[-5, -1, Infinity])/7) + (40*S[-5, 1, 1, Infinity])/7 - 
   (86*S[5, -1, -1, Infinity])/7 + S[2, Infinity]*
    ((4273*S[5, Infinity])/112 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -1, -3, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (123*S[2, Infinity]^2*S[3, Infinity])/35 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/8 + 
     (155*S[5, Infinity])/16) - (52275*S[7, Infinity])/896 + 
   S[-1, Infinity]*((-71*S[2, Infinity]^3)/140 - (981*S[3, Infinity]^2)/224 + 
     (27*S[-5, -1, Infinity])/14) + (27*S[-5, 1, 1, Infinity])/14 - 
   (113*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((5339*S[5, Infinity])/224 - 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -2, 2, Infinity] -> (3*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (5991*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-31*S[2, Infinity]*S[3, Infinity])/8 + 
     (31*S[5, Infinity])/4) - (8241*S[7, Infinity])/896 + 
   (36*S[-5, 1, 1, Infinity])/7 - (20*S[5, -1, -1, Infinity])/7 + 
   (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-629*S[2, Infinity]^3)/560 - (10*S[3, Infinity]^2)/7 + 
     (8*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((43*S[5, Infinity])/448 - 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -2, -2, Infinity] -> (7*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (31*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (16327*S[2, Infinity]^2*S[3, Infinity])/2240 + (8943*S[7, Infinity])/448 + 
   (31*S[-5, 1, 1, Infinity])/7 + (31*S[5, -1, -1, Infinity])/7 - 
   (31*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((261*S[2, Infinity]^3)/112 - (155*S[3, Infinity]^2)/28 + 
     (31*S[-5, -1, Infinity])/7 - 14*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((8781*S[5, Infinity])/448 + 
     28*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, -3, 1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (1167*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (2461*S[2, Infinity]*S[5, Infinity])/224 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/4) - (19343*S[7, Infinity])/896 - 
   (33*S[-5, 1, 1, Infinity])/14 - (75*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((259*S[2, Infinity]^3)/80 - (257*S[3, Infinity]^2)/224 - 
     (19*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-2, -1, -3, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/4 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (29*S[2, Infinity]^2*S[3, Infinity])/56 + S[-1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/8 - (31*S[5, Infinity])/16) - 
   (3789*S[2, Infinity]*S[5, Infinity])/448 + (1551*S[7, Infinity])/112 - 
   (39*S[-5, 1, 1, Infinity])/14 + (59*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((237*S[2, Infinity]^3)/280 + (195*S[3, Infinity]^2)/56 - 
     (39*S[-5, -1, Infinity])/14 + 6*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-2, -2, 2, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/5 - S[-1, Infinity]^3*S[2, Infinity]^2 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 - 
   (99*S[2, Infinity]^2*S[3, Infinity])/16 + (23599*S[7, Infinity])/512 + 
   6*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity] - 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-21*S[2, Infinity]^3)/20 - (15*S[3, Infinity]^2)/2 + 
     6*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1989*S[5, Infinity])/128 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -2, 2, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/4 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 - 
   (139*S[2, Infinity]^2*S[3, Infinity])/80 - 
   (47*S[2, Infinity]*S[5, Infinity])/4 + (415*S[7, Infinity])/16 + 
   4*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-643*S[2, Infinity]^3)/280 - (27*S[3, Infinity]^2)/32 + 
     4*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-2, -2, 1, 2, Infinity] -> (127*S[2, Infinity]^2*S[3, Infinity])/320 + 
   (323*S[2, Infinity]*S[5, Infinity])/128 - (593*S[7, Infinity])/128, 
 S[-2, -2, 1, -2, Infinity] -> (-253*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (653*S[2, Infinity]*S[5, Infinity])/448 - (5167*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(S[2, Infinity]^3/8 - (45*S[3, Infinity]^2)/224 - 
     (5*S[-5, -1, Infinity])/7) - (5*S[-5, 1, 1, Infinity])/7 - 
   (5*S[5, -1, -1, Infinity])/7, S[-2, -2, -1, 2, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   (5899*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity]) - 
     (31*S[5, Infinity])/4) + (93221*S[7, Infinity])/1792 + 
   (10*S[-5, 1, 1, Infinity])/7 + (66*S[5, -1, -1, Infinity])/7 - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-323*S[2, Infinity]^3)/140 + (269*S[3, Infinity]^2)/
      112 + (38*S[-5, -1, Infinity])/7 - 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-10203*S[5, Infinity])/448 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, -1, -2, Infinity] -> (-2*S[-1, Infinity]^5*S[2, Infinity])/5 + 
   (4*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (23*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (6707*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (25885*S[7, Infinity])/1792 - (23*S[-5, 1, 1, Infinity])/7 - 
   (23*S[5, -1, -1, Infinity])/7 + 
   (23*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-141*S[2, Infinity]^3)/35 + (115*S[3, Infinity]^2)/28 - 
     (23*S[-5, -1, Infinity])/7 + 16*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-11797*S[5, Infinity])/448 - 32*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, -2, 1, Infinity] -> (-123*S[2, Infinity]^2*S[3, Infinity])/224 - 
   (235*S[2, Infinity]*S[5, Infinity])/112 + (4225*S[7, Infinity])/896 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/8 + (45*S[3, Infinity]^2)/224 + 
     (5*S[-5, -1, Infinity])/7) + (5*S[-5, 1, 1, Infinity])/7 + 
   (5*S[5, -1, -1, Infinity])/7, S[-2, -2, -2, -1, Infinity] -> 
  (3*S[-1, Infinity]^5*S[2, Infinity])/20 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (8*S[2, Infinity]^2*S[3, Infinity])/7 + (4225*S[7, Infinity])/896 + 
   (5*S[-5, 1, 1, Infinity])/7 + (5*S[5, -1, -1, Infinity])/7 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((103*S[2, Infinity]^3)/70 - (25*S[3, Infinity]^2)/28 + 
     (5*S[-5, -1, Infinity])/7 - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((2113*S[5, Infinity])/224 + 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -3, 1, 1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/10 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (979*S[2, Infinity]^2*S[3, Infinity])/160 - (8209*S[7, Infinity])/256 - 
   3*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((21*S[2, Infinity]^3)/40 + (15*S[3, Infinity]^2)/4 - 
     3*S[-5, -1, Infinity] + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((519*S[5, Infinity])/64 - 3*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -3, 1, -1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
   (S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (141*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((17*S[2, Infinity]*S[3, Infinity])/16 - 
     (465*S[5, Infinity])/64) - (575*S[2, Infinity]*S[5, Infinity])/448 - 
   (7955*S[7, Infinity])/1792 - (50*S[-5, 1, 1, Infinity])/7 + 
   (5*S[5, -1, -1, Infinity])/14 + (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/
    2 + S[-1, Infinity]*((-361*S[2, Infinity]^3)/560 + 
     (69*S[3, Infinity]^2)/14 - (65*S[-5, -1, Infinity])/14 + 
     3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-2, -3, -1, 1, Infinity] -> (-5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (3167*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   (6745*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*(2*S[2, Infinity]*S[3, Infinity] + 
     (279*S[5, Infinity])/64) - (26055*S[7, Infinity])/896 + 
   S[-1, Infinity]*((151*S[2, Infinity]^3)/80 - (649*S[3, Infinity]^2)/448 - 
     (17*S[-5, -1, Infinity])/7) - (55*S[-5, 1, 1, Infinity])/14 - 
   (83*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[-2, -3, -1, -1, Infinity] -> (2959*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (7361*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((27*S[2, Infinity]*S[3, Infinity])/8 + 
     (155*S[5, Infinity])/16) - (54567*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((639*S[2, Infinity]^3)/280 - (45*S[3, Infinity]^2)/14 + 
     (18*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (69*S[5, -1, -1, Infinity])/14, S[-3, 2, 1, 1, Infinity] -> 
  (17*S[2, Infinity]^2*S[3, Infinity])/32 + 
   (71*S[2, Infinity]*S[5, Infinity])/32 - (1633*S[7, Infinity])/512 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/80 - (9*S[3, Infinity]^2)/64 - 
     S[-5, -1, Infinity]/2) + 3*S[-5, 1, 1, Infinity] - 
   S[5, -1, -1, Infinity]/2, S[-3, 2, 1, -1, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
   (7*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (2701*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/4 - 
     (589*S[5, Infinity])/64) + (633*S[7, Infinity])/112 + 
   S[-1, Infinity]*((3*S[2, Infinity]^3)/56 + (50*S[3, Infinity]^2)/7 - 
     (40*S[-5, -1, Infinity])/7) - (40*S[-5, 1, 1, Infinity])/7 + 
   (2*S[5, -1, -1, Infinity])/7 + 
   (21*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-367*S[5, Infinity])/112 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 2, -1, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/30 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (177*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-19*S[2, Infinity]*S[3, Infinity])/16 + 
     (155*S[5, Infinity])/64) - (1041*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-197*S[2, Infinity]^3)/140 - (65*S[3, Infinity]^2)/56 + 
     (13*S[-5, -1, Infinity])/14) + (13*S[-5, 1, 1, Infinity])/14 - 
   (11*S[5, -1, -1, Infinity])/7 - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-1509*S[5, Infinity])/448 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 2, -1, -1, Infinity] -> 
  (13*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (99*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/8 + 
     (155*S[5, Infinity])/16) - (1965*S[7, Infinity])/128 + 
   6*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
   S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((117*S[2, Infinity]^3)/80 - (329*S[3, Infinity]^2)/64 + 
     (7*S[-5, -1, Infinity])/2 - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((999*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, 1, 2, 1, Infinity] -> (-5*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 + 
   (229*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (699*S[2, Infinity]*S[5, Infinity])/56 - (21341*S[7, Infinity])/896 + 
   S[-1, Infinity]*((11*S[2, Infinity]^3)/20 + (47*S[3, Infinity]^2)/224 - 
     (22*S[-5, -1, Infinity])/7) - (15*S[-5, 1, 1, Infinity])/7 - 
   (22*S[5, -1, -1, Infinity])/7 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[-3, 1, 2, -1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/8 + 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   (1059*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((13*S[2, Infinity]*S[3, Infinity])/8 - 
     (31*S[5, Infinity])/16) - (713*S[2, Infinity]*S[5, Infinity])/448 + 
   (5127*S[7, Infinity])/1792 + S[-5, 1, 1, Infinity]/7 + 
   (8*S[5, -1, -1, Infinity])/7 - 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-47*S[2, Infinity]^3)/140 - (69*S[3, Infinity]^2)/112 + 
     S[-5, -1, Infinity]/7 + 3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]), 
 S[-3, 1, 1, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (15*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 + 
   (803*S[2, Infinity]^2*S[3, Infinity])/560 + (7923*S[7, Infinity])/3584 + 
   (9*S[-5, 1, 1, Infinity])/14 + (9*S[5, -1, -1, Infinity])/14 + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-9*S[2, Infinity]^3)/80 + (865*S[3, Infinity]^2)/448 + 
     (9*S[-5, -1, Infinity])/14 + S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-1749*S[5, Infinity])/448 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, 1, 1, -2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 - 
   (21*S[2, Infinity]^2*S[3, Infinity])/16 + (1695*S[7, Infinity])/128 + 
   S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/40 - (33*S[3, Infinity]^2)/32 + 
     S[-5, -1, Infinity] - 2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-15*S[5, Infinity])/4 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, 1, -1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/15 - 
   (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (3443*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/4 + 
     (155*S[5, Infinity])/32) + (449*S[7, Infinity])/28 + 
   S[-1, Infinity]*((-57*S[2, Infinity]^3)/35 - (93*S[3, Infinity]^2)/14 + 
     (47*S[-5, -1, Infinity])/7) + (47*S[-5, 1, 1, Infinity])/7 + 
   (12*S[5, -1, -1, Infinity])/7 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-295*S[5, Infinity])/28 - 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, 1, -1, -2, Infinity] -> (981*S[2, Infinity]^2*S[3, Infinity])/448 + 
   (18057*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((7*S[2, Infinity]*S[3, Infinity])/16 + 
     (279*S[5, Infinity])/32) - (63925*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((517*S[2, Infinity]^3)/280 - (1231*S[3, Infinity]^2)/
      448 - (17*S[-5, -1, Infinity])/14) + (39*S[-5, 1, 1, Infinity])/14 - 
   (87*S[5, -1, -1, Infinity])/14, S[-3, 1, -2, 1, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/6 - S[-1, Infinity]^2*S[2, Infinity]*
    S[3, Infinity] - (117*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (151*S[2, Infinity]*S[5, Infinity])/16 + (6303*S[7, Infinity])/256 + 
   S[-1, Infinity]*((-21*S[2, Infinity]^3)/40 - (85*S[3, Infinity]^2)/32 + 
     3*S[-5, -1, Infinity]) + 3*S[-5, 1, 1, Infinity] + 
   3*S[5, -1, -1, Infinity] - 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-3, 1, -2, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/8 - 
   (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
   (S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (1161*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (3887*S[2, Infinity]*S[5, Infinity])/896 + 
   S[-1, Infinity]^2*((-11*S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/16) + (4957*S[7, Infinity])/448 + 
   (47*S[-5, 1, 1, Infinity])/14 + (19*S[5, -1, -1, Infinity])/14 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-57*S[2, Infinity]^3)/560 - (1173*S[3, Infinity]^2)/
      448 + (33*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-3, -1, 2, 1, Infinity] -> 
  (-41*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (41*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 + 
   (143*S[2, Infinity]^2*S[3, Infinity])/28 + 
   (1867*S[2, Infinity]*S[5, Infinity])/448 - (38771*S[7, Infinity])/3584 + 
   S[-1, Infinity]*((1083*S[2, Infinity]^3)/560 + (195*S[3, Infinity]^2)/56 - 
     (39*S[-5, -1, Infinity])/14) - (39*S[-5, 1, 1, Infinity])/14 - 
   (39*S[5, -1, -1, Infinity])/14 + 
   (41*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[-3, -1, 2, -1, Infinity] -> (-37*S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (19*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (51*S[2, Infinity]^2*S[3, Infinity])/56 + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/8 - (155*S[5, Infinity])/16) + 
   (44739*S[7, Infinity])/1792 - (32*S[-5, 1, 1, Infinity])/7 + 
   (38*S[5, -1, -1, Infinity])/7 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-1209*S[2, Infinity]^3)/560 + (87*S[3, Infinity]^2)/14 - 
     (25*S[-5, -1, Infinity])/7 + 9*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-10833*S[5, Infinity])/448 - 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, -1, 1, 2, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1523*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-7*S[2, Infinity]*S[3, Infinity])/16 - 
     (155*S[5, Infinity])/32) + (55341*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((39*S[2, Infinity]^3)/140 + (15*S[3, Infinity]^2)/7 - 
     (12*S[-5, -1, Infinity])/7) - (12*S[-5, 1, 1, Infinity])/7 + 
   (23*S[5, -1, -1, Infinity])/7 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-4541*S[5, Infinity])/448 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-3, -1, 1, -2, Infinity] -> 
  -(S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (3617*S[2, Infinity]^2*S[3, Infinity])/2240 - 
   (403*S[-1, Infinity]^2*S[5, Infinity])/32 + (73991*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-1467*S[2, Infinity]^3)/560 + (1193*S[3, Infinity]^2)/
      224 + (31*S[-5, -1, Infinity])/14) - (53*S[-5, 1, 1, Infinity])/14 + 
   (129*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((-2923*S[5, Infinity])/112 + S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, -1, -1, 2, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/120 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (267*S[2, Infinity]^2*S[3, Infinity])/56 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/2 - 
     (341*S[5, Infinity])/16) + (59665*S[7, Infinity])/896 - 
   (58*S[-5, 1, 1, Infinity])/7 + (96*S[5, -1, -1, Infinity])/7 - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((-2367*S[2, Infinity]^3)/560 + (117*S[3, Infinity]^2)/
      14 + (12*S[-5, -1, Infinity])/7 - S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-2109*S[5, Infinity])/56 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-3, -1, -1, -2, Infinity] -> 
  (-3*S[-1, Infinity]^5*S[2, Infinity])/20 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
   (13*S[-1, Infinity]^4*S[3, Infinity])/96 + 
   (27*S[2, Infinity]^2*S[3, Infinity])/56 + S[-1, Infinity]^2*
    ((13*S[2, Infinity]*S[3, Infinity])/16 - (155*S[5, Infinity])/16) + 
   (50681*S[7, Infinity])/1792 - (81*S[-5, 1, 1, Infinity])/14 + 
   (59*S[5, -1, -1, Infinity])/14 + 
   (13*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((607*S[2, Infinity]^3)/560 + (405*S[3, Infinity]^2)/56 - 
     (81*S[-5, -1, Infinity])/14 + 2*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-2591*S[5, Infinity])/224 + 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, -1, -2, 1, Infinity] -> (-5*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (9*S[2, Infinity]^2*S[3, Infinity])/112 + S[-1, Infinity]^2*
    ((5*S[2, Infinity]*S[3, Infinity])/16 - (93*S[5, Infinity])/8) - 
   (9489*S[2, Infinity]*S[5, Infinity])/896 + (1551*S[7, Infinity])/112 + 
   S[-1, Infinity]*((-547*S[2, Infinity]^3)/280 + (2029*S[3, Infinity]^2)/
      448 - (25*S[-5, -1, Infinity])/14) - (39*S[-5, 1, 1, Infinity])/14 + 
   (59*S[5, -1, -1, Infinity])/14 + 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[-3, -1, -2, -1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (11*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (174*S[2, Infinity]^2*S[3, Infinity])/35 + 
   S[-1, Infinity]^2*((33*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/16) - (19343*S[7, Infinity])/896 - 
   (33*S[-5, 1, 1, Infinity])/14 - (75*S[5, -1, -1, Infinity])/14 + 
   (33*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-23*S[2, Infinity]^3)/7 + (165*S[3, Infinity]^2)/56 - 
     (33*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((-171*S[5, Infinity])/28 - 
     16*S[-1, 1, 1, 1, 1, Infinity]), S[-3, -2, 1, 1, Infinity] -> 
  (7*S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/16 - 
   (277*S[2, Infinity]^2*S[3, Infinity])/80 - 
   (135*S[2, Infinity]*S[5, Infinity])/32 + (1113*S[7, Infinity])/64 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/40 - (5*S[3, Infinity]^2)/4 + 
     S[-5, -1, Infinity]) + S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4, 
 S[-3, -2, 1, -1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (2071*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((27*S[2, Infinity]*S[3, Infinity])/16 + 
     (465*S[5, Infinity])/64) - (3697*S[7, Infinity])/448 + 
   S[-1, Infinity]*((20*S[2, Infinity]^3)/7 - (887*S[3, Infinity]^2)/224 + 
     (37*S[-5, -1, Infinity])/14) + (36*S[-5, 1, 1, Infinity])/7 - 
   (33*S[5, -1, -1, Infinity])/14 + S[2, Infinity]*
    ((491*S[5, Infinity])/56 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, -2, -1, 1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (5*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (61*S[2, Infinity]^2*S[3, Infinity])/112 + 
   S[-1, Infinity]^2*((-37*S[2, Infinity]*S[3, Infinity])/16 - 
     (31*S[5, Infinity])/64) + (9547*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-33*S[2, Infinity]^3)/28 - (227*S[3, Infinity]^2)/224 + 
     (2*S[-5, -1, Infinity])/7) + (53*S[-5, 1, 1, Infinity])/14 + 
   (25*S[5, -1, -1, Infinity])/14 - 
   (5*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-4287*S[5, Infinity])/896 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-3, -2, -1, -1, Infinity] -> 
  (11*S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
   (19*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (1229*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((-23*S[2, Infinity]*S[3, Infinity])/4 - 
     (155*S[5, Infinity])/16) + (7325*S[7, Infinity])/128 + 
   2*S[-5, 1, 1, Infinity] + (19*S[5, -1, -1, Infinity])/2 - 
   (19*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*((-97*S[2, Infinity]^3)/40 - (5*S[3, Infinity]^2)/2 + 
     2*S[-5, -1, Infinity] - 6*S[2, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-647*S[5, Infinity])/32 + 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-4, 1, 1, 1, Infinity] -> -(S[2, Infinity]^2*S[3, Infinity])/10 - 
   (S[2, Infinity]*S[5, Infinity])/2 - (147*S[7, Infinity])/128 - 
   (3*S[-5, 1, 1, Infinity])/2, S[-4, 1, 1, -1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (3*S[2, Infinity]^2*S[3, Infinity])/5 + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity]) + (93*S[5, Infinity])/32) - 
   (67*S[7, Infinity])/32 + S[-1, Infinity]*((-11*S[2, Infinity]^3)/20 - 
     (15*S[3, Infinity]^2)/8 + (3*S[-5, -1, Infinity])/2) + 
   (3*S[-5, 1, 1, Infinity])/2 - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((15*S[5, Infinity])/32 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-4, 1, -1, 1, Infinity] -> -(S[-1, Infinity]^5*S[2, Infinity])/30 + 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (139*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((5*S[2, Infinity]*S[3, Infinity])/4 - 
     (155*S[5, Infinity])/64) - (403*S[7, Infinity])/128 + 
   S[-1, Infinity]*((33*S[2, Infinity]^3)/40 + (25*S[3, Infinity]^2)/8 - 
     (5*S[-5, -1, Infinity])/2) - (5*S[-5, 1, 1, Infinity])/2 + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((301*S[5, Infinity])/64 + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-4, 1, -1, -1, Infinity] -> (-7*S[-1, Infinity]^5*S[2, Infinity])/60 + 
   (25*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[3, Infinity])/96 - 
   (1653*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((23*S[2, Infinity]*S[3, Infinity])/16 - 
     (403*S[5, Infinity])/64) + (18651*S[7, Infinity])/1792 - 
   (27*S[-5, 1, 1, Infinity])/7 + (37*S[5, -1, -1, Infinity])/14 - 
   (S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/5 + (1201*S[3, Infinity]^2)/448 - 
     (19*S[-5, -1, Infinity])/14 + 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-8195*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[-4, -1, 1, 1, Infinity] -> (S[-1, Infinity]^5*S[2, Infinity])/60 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
   (S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (781*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*(-(S[2, Infinity]*S[3, Infinity])/4 + 
     (155*S[5, Infinity])/64) - (1475*S[7, Infinity])/112 + 
   S[-1, Infinity]*((-51*S[2, Infinity]^3)/140 - (95*S[3, Infinity]^2)/56 + 
     (19*S[-5, -1, Infinity])/14) + (19*S[-5, 1, 1, Infinity])/14 - 
   (8*S[5, -1, -1, Infinity])/7 - S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((2379*S[5, Infinity])/448 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-4, -1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
   (S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (177*S[2, Infinity]^2*S[3, Infinity])/2240 + 
   S[-1, Infinity]^2*((-17*S[2, Infinity]*S[3, Infinity])/16 + 
     (403*S[5, Infinity])/64) - (33669*S[7, Infinity])/1792 + 
   (19*S[-5, 1, 1, Infinity])/7 - (53*S[5, -1, -1, Infinity])/14 - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity] + 
   S[-1, Infinity]*((789*S[2, Infinity]^3)/560 - (513*S[3, Infinity]^2)/112 + 
     (17*S[-5, -1, Infinity])/14 - 3*S[2, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((6389*S[5, Infinity])/448 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-4, -1, -1, 1, Infinity] -> 
  (S[-1, Infinity]^5*S[2, Infinity])/120 - 
   (11*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
   (3*S[-1, Infinity]^4*S[3, Infinity])/32 + 
   (683*S[2, Infinity]^2*S[3, Infinity])/280 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/8 + 
     (403*S[5, Infinity])/32) - (69865*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((207*S[2, Infinity]^3)/70 - (1773*S[3, Infinity]^2)/448 - 
     S[-5, -1, Infinity]/14) + (17*S[-5, 1, 1, Infinity])/7 - 
   (113*S[5, -1, -1, Infinity])/14 + 
   (9*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((20481*S[5, Infinity])/896 - S[-1, 1, 1, 1, 1, Infinity]), 
 S[-4, -1, -1, -1, Infinity] -> -(S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
   (255*S[2, Infinity]^2*S[3, Infinity])/224 + 
   (1417*S[2, Infinity]*S[5, Infinity])/112 + 
   S[-1, Infinity]^2*((9*S[2, Infinity]*S[3, Infinity])/8 + 
     (31*S[5, Infinity])/4) - (37197*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((11*S[2, Infinity]^3)/7 - (95*S[3, Infinity]^2)/28 + 
     (19*S[-5, -1, Infinity])/7) + (19*S[-5, 1, 1, Infinity])/7 - 
   (39*S[5, -1, -1, Infinity])/14, S[5, 1, 1, Infinity] -> 
  -(S[2, Infinity]^2*S[3, Infinity])/10 + 2*S[2, Infinity]*S[5, Infinity] - 
   2*S[7, Infinity], S[5, 1, -1, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (163*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
     (31*S[5, Infinity])/32) - (161*S[2, Infinity]*S[5, Infinity])/64 + 
   (635*S[7, Infinity])/128 + S[-1, Infinity]*(S[2, Infinity]^3/20 - 
     (5*S[3, Infinity]^2)/4 + S[-5, -1, Infinity]) + S[5, -1, -1, Infinity] - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[5, -1, 1, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (231*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (409*S[2, Infinity]*S[5, Infinity])/64 + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/8 + (93*S[5, Infinity])/32) - 
   (1657*S[7, Infinity])/128 + S[-1, Infinity]*((43*S[2, Infinity]^3)/40 - 
     (9*S[3, Infinity]^2)/32 - S[-5, -1, Infinity]) - 
   2*S[5, -1, -1, Infinity] + (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[4, 2, 1, Infinity] -> S[2, Infinity]^2*S[3, Infinity] - 
   (11*S[2, Infinity]*S[5, Infinity])/2 + (115*S[7, Infinity])/16, 
 S[4, 2, -1, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (1749*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (6969*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/4) - (47525*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((601*S[2, Infinity]^3)/280 + S[3, Infinity]^2/28 - 
     (10*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (38*S[5, -1, -1, Infinity])/7 + 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[4, 1, 2, Infinity] -> (-7*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (5*S[2, Infinity]*S[5, Infinity])/2 + (61*S[7, Infinity])/8, 
 S[4, 1, -2, Infinity] -> (227*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (689*S[2, Infinity]*S[5, Infinity])/224 + (3435*S[7, Infinity])/896 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/5 + (9*S[3, Infinity]^2)/28 + 
     (8*S[-5, -1, Infinity])/7) + (8*S[-5, 1, 1, Infinity])/7 + 
   (8*S[5, -1, -1, Infinity])/7, S[4, -1, 2, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (1157*S[2, Infinity]^2*S[3, Infinity])/224 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/2) - (15037*S[2, Infinity]*S[5, Infinity])/448 + 
   (51235*S[7, Infinity])/896 + S[-1, Infinity]*((-142*S[2, Infinity]^3)/35 + 
     (531*S[3, Infinity]^2)/112 + (20*S[-5, -1, Infinity])/7) - 
   (36*S[-5, 1, 1, Infinity])/7 + (76*S[5, -1, -1, Infinity])/7 - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[4, -1, -2, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] - 
   (355*S[2, Infinity]^2*S[3, Infinity])/224 - 
   (2397*S[2, Infinity]*S[5, Infinity])/224 + (17659*S[7, Infinity])/896 + 
   S[-1, Infinity]*((-103*S[2, Infinity]^3)/140 - (10*S[3, Infinity]^2)/7 + 
     (8*S[-5, -1, Infinity])/7) + (8*S[-5, 1, 1, Infinity])/7 + 
   (8*S[5, -1, -1, Infinity])/7 - 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[4, -2, 1, Infinity] -> (523*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (1367*S[2, Infinity]*S[5, Infinity])/224 - (17187*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(S[2, Infinity]^3/4 - (45*S[3, Infinity]^2)/112 - 
     (10*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (10*S[5, -1, -1, Infinity])/7, S[4, -2, -1, Infinity] -> 
  -(S[-1, Infinity]^4*S[3, Infinity])/6 + 
   (23*S[2, Infinity]^2*S[3, Infinity])/14 + S[-1, Infinity]^2*
    (S[2, Infinity]*S[3, Infinity] - (31*S[5, Infinity])/4) - 
   (1231*S[2, Infinity]*S[5, Infinity])/224 + (8847*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-349*S[2, Infinity]^3)/280 + (65*S[3, Infinity]^2)/14 - 
     (26*S[-5, -1, Infinity])/7) - (26*S[-5, 1, 1, Infinity])/7 + 
   (2*S[5, -1, -1, Infinity])/7 + 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[3, 3, 1, Infinity] -> (9*S[2, Infinity]*S[5, Infinity])/2 - 
   (51*S[7, Infinity])/8, S[3, 3, -1, Infinity] -> 
  (-1963*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (93*S[-1, Infinity]^2*S[5, Infinity])/8 - 
   (9549*S[2, Infinity]*S[5, Infinity])/448 + (29745*S[7, Infinity])/896 + 
   S[-1, Infinity]*((-681*S[2, Infinity]^3)/280 + (1279*S[3, Infinity]^2)/
      224 + (6*S[-5, -1, Infinity])/7) - (36*S[-5, 1, 1, Infinity])/7 + 
   (48*S[5, -1, -1, Infinity])/7, S[3, 2, 2, Infinity] -> 
  (21*S[2, Infinity]^2*S[3, Infinity])/10 + 
   (15*S[2, Infinity]*S[5, Infinity])/2 - (291*S[7, Infinity])/16, 
 S[3, 2, -2, Infinity] -> (7*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 - 
   (507*S[2, Infinity]^2*S[3, Infinity])/112 + 
   (121*S[2, Infinity]*S[5, Infinity])/28 - (5875*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(S[2, Infinity]^3/4 - (731*S[3, Infinity]^2)/112 - 
     (10*S[-5, -1, Infinity])/7) - (10*S[-5, 1, 1, Infinity])/7 - 
   (10*S[5, -1, -1, Infinity])/7 - 7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[3, 1, 3, Infinity] -> (S[2, Infinity]^2*S[3, Infinity])/2 - 
   S[7, Infinity]/4, S[3, 1, -3, Infinity] -> 
  (-7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (231*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (63*S[2, Infinity]*S[5, Infinity])/32 - (671*S[7, Infinity])/128 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/40 + (89*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity]) - S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[3, -1, 3, Infinity] -> (169*S[2, Infinity]^2*S[3, Infinity])/56 + 
   (93*S[-1, Infinity]^2*S[5, Infinity])/4 + 
   (1149*S[2, Infinity]*S[5, Infinity])/28 - (56025*S[7, Infinity])/896 + 
   S[-1, Infinity]*((186*S[2, Infinity]^3)/35 - (1083*S[3, Infinity]^2)/112 - 
     (12*S[-5, -1, Infinity])/7) + (72*S[-5, 1, 1, Infinity])/7 - 
   (96*S[5, -1, -1, Infinity])/7, S[3, -1, -3, Infinity] -> 
  (37*S[2, Infinity]^2*S[3, Infinity])/32 + 
   (101*S[2, Infinity]*S[5, Infinity])/8 - (771*S[7, Infinity])/32 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/40 - S[3, Infinity]^2/16 - 
     S[-5, -1, Infinity]) - S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity], 
 S[3, -2, 2, Infinity] -> (-7*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (137*S[2, Infinity]^2*S[3, Infinity])/35 + 
   (2789*S[2, Infinity]*S[5, Infinity])/448 - (29307*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((9*S[2, Infinity]^3)/20 + (605*S[3, Infinity]^2)/112 - 
     (18*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 - 
   (18*S[5, -1, -1, Infinity])/7 + 7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[3, -2, -2, Infinity] -> (-13*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (85*S[2, Infinity]*S[5, Infinity])/32 - (719*S[7, Infinity])/256, 
 S[3, -3, 1, Infinity] -> (7*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (701*S[2, Infinity]^2*S[3, Infinity])/224 - 
   (3019*S[2, Infinity]*S[5, Infinity])/224 + (10231*S[7, Infinity])/448 + 
   S[-1, Infinity]*((-3*S[2, Infinity]^3)/5 - (235*S[3, Infinity]^2)/112 + 
     (24*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 + 
   (24*S[5, -1, -1, Infinity])/7 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[3, -3, -1, Infinity] -> (61*S[2, Infinity]^2*S[3, Infinity])/140 + 
   (93*S[-1, Infinity]^2*S[5, Infinity])/8 + 
   (2865*S[2, Infinity]*S[5, Infinity])/224 - (16745*S[7, Infinity])/896 + 
   S[-1, Infinity]*((58*S[2, Infinity]^3)/35 - (125*S[3, Infinity]^2)/28 + 
     (25*S[-5, -1, Infinity])/7) + (25*S[-5, 1, 1, Infinity])/7 - 
   (17*S[5, -1, -1, Infinity])/7, S[2, 4, 1, Infinity] -> 
  (-17*S[2, Infinity]^2*S[3, Infinity])/10 + (115*S[7, Infinity])/16, 
 S[2, 4, -1, Infinity] -> (943*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (31*S[-1, Infinity]^2*S[5, Infinity])/4 + 
   (3985*S[2, Infinity]*S[5, Infinity])/224 - (47525*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((871*S[2, Infinity]^3)/280 - (535*S[3, Infinity]^2)/112 - 
     (10*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (38*S[5, -1, -1, Infinity])/7, S[2, 3, 2, Infinity] -> 
  (-9*S[2, Infinity]*S[5, Infinity])/2 + (75*S[7, Infinity])/8, 
 S[2, 3, -2, Infinity] -> (83*S[2, Infinity]^2*S[3, Infinity])/80 - 
   (761*S[2, Infinity]*S[5, Infinity])/64 + (2105*S[7, Infinity])/128 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/10 + (9*S[3, Infinity]^2)/8 + 
     4*S[-5, -1, Infinity]) + 4*S[-5, 1, 1, Infinity] + 
   4*S[5, -1, -1, Infinity], S[2, 2, 3, Infinity] -> 
  (-7*S[2, Infinity]^2*S[3, Infinity])/5 - 2*S[2, Infinity]*S[5, Infinity] + 
   (157*S[7, Infinity])/16, S[2, 2, -3, Infinity] -> 
  (-173*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (2293*S[2, Infinity]*S[5, Infinity])/448 + (13981*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/4 + (45*S[3, Infinity]^2)/112 + 
     (10*S[-5, -1, Infinity])/7) + (10*S[-5, 1, 1, Infinity])/7 + 
   (10*S[5, -1, -1, Infinity])/7, S[2, 1, 4, Infinity] -> 
  (3*S[2, Infinity]^2*S[3, Infinity])/10 + (S[2, Infinity]*S[5, Infinity])/
    2 + (5*S[7, Infinity])/8, S[2, 1, -4, Infinity] -> 
  (3*S[2, Infinity]^2*S[3, Infinity])/56 + 
   (2001*S[2, Infinity]*S[5, Infinity])/448 - (4689*S[7, Infinity])/448 + 
   S[-1, Infinity]*(S[2, Infinity]^3/5 - (9*S[3, Infinity]^2)/28 - 
     (8*S[-5, -1, Infinity])/7) - (8*S[-5, 1, 1, Infinity])/7 - 
   (8*S[5, -1, -1, Infinity])/7, S[2, -1, 4, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (3839*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/2) - (14883*S[2, Infinity]*S[5, Infinity])/448 + 
   (44963*S[7, Infinity])/896 + S[-1, Infinity]*
    ((-589*S[2, Infinity]^3)/140 + (531*S[3, Infinity]^2)/112 + 
     (20*S[-5, -1, Infinity])/7) - (36*S[-5, 1, 1, Infinity])/7 + 
   (76*S[5, -1, -1, Infinity])/7 - 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -1, -4, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] + 
   (253*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (221*S[2, Infinity]*S[5, Infinity])/224 + (2423*S[7, Infinity])/448 + 
   S[-1, Infinity]*((269*S[2, Infinity]^3)/280 + (10*S[3, Infinity]^2)/7 - 
     (8*S[-5, -1, Infinity])/7) - (8*S[-5, 1, 1, Infinity])/7 - 
   (8*S[5, -1, -1, Infinity])/7 + 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -2, 3, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (145*S[2, Infinity]^2*S[3, Infinity])/56 + 
   (4273*S[2, Infinity]*S[5, Infinity])/448 - (41361*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((9*S[2, Infinity]^3)/20 + (213*S[3, Infinity]^2)/112 - 
     (18*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 - 
   (18*S[5, -1, -1, Infinity])/7 + 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -2, -3, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] - 
   (81*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (55*S[2, Infinity]*S[5, Infinity])/4 + (7497*S[7, Infinity])/256 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/10 - (19*S[3, Infinity]^2)/8 + 
     4*S[-5, -1, Infinity]) + 4*S[-5, 1, 1, Infinity] + 
   4*S[5, -1, -1, Infinity] - 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[2, -3, 2, Infinity] -> (9*S[2, Infinity]^2*S[3, Infinity])/28 + 
   (1957*S[2, Infinity]*S[5, Infinity])/224 - (16445*S[7, Infinity])/896 + 
   S[-1, Infinity]*(S[2, Infinity]^3/2 - (45*S[3, Infinity]^2)/56 - 
     (20*S[-5, -1, Infinity])/7) - (20*S[-5, 1, 1, Infinity])/7 - 
   (20*S[5, -1, -1, Infinity])/7, S[2, -3, -2, Infinity] -> 
  (-317*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (11*S[2, Infinity]*S[5, Infinity])/32 + (473*S[7, Infinity])/64, 
 S[2, -4, 1, Infinity] -> (53*S[2, Infinity]^2*S[3, Infinity])/40 + 
   (79*S[2, Infinity]*S[5, Infinity])/64 - (1065*S[7, Infinity])/256 + 
   4*S[-5, 1, 1, Infinity], S[2, -4, -1, Infinity] -> 
  (139*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (31*S[-1, Infinity]^2*S[5, Infinity])/4 - 
   (103*S[2, Infinity]*S[5, Infinity])/14 + (12197*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-661*S[2, Infinity]^3)/280 + (25*S[3, Infinity]^2)/7 - 
     (20*S[-5, -1, Infinity])/7) - (20*S[-5, 1, 1, Infinity])/7 + 
   (8*S[5, -1, -1, Infinity])/7, S[-1, 5, 1, Infinity] -> 
  (9*S[2, Infinity]^2*S[3, Infinity])/20 + S[-1, Infinity]*
    ((-29*S[2, Infinity]^3)/40 + (33*S[3, Infinity]^2)/32) - 
   (31*S[-1, Infinity]^2*S[5, Infinity])/16 - 
   2*S[2, Infinity]*S[5, Infinity] + S[5, -1, -1, Infinity], 
 S[-1, 5, -1, Infinity] -> (11*S[2, Infinity]^2*S[3, Infinity])/10 + 
   S[-1, Infinity]*((-11*S[2, Infinity]^3)/40 - (9*S[3, Infinity]^2)/32) + 
   (31*S[-1, Infinity]^2*S[5, Infinity])/16 + 
   (95*S[2, Infinity]*S[5, Infinity])/16 - (1657*S[7, Infinity])/128 - 
   2*S[5, -1, -1, Infinity], S[-1, 4, 2, Infinity] -> 
  (873*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (31*S[-1, Infinity]^2*S[5, Infinity])/4 + 
   (3509*S[2, Infinity]*S[5, Infinity])/224 - (44165*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((1541*S[2, Infinity]^3)/840 - (423*S[3, Infinity]^2)/
      112 - (10*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (38*S[5, -1, -1, Infinity])/7, S[-1, 4, -2, Infinity] -> 
  (-737*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (169*S[2, Infinity]*S[5, Infinity])/112 + (7509*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((149*S[2, Infinity]^3)/210 - (129*S[3, Infinity]^2)/112 - 
     (10*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (10*S[5, -1, -1, Infinity])/7, S[-1, 3, 3, Infinity] -> 
  (-1809*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (93*S[-1, Infinity]^2*S[5, Infinity])/8 - 
   (8835*S[2, Infinity]*S[5, Infinity])/448 + (12699*S[7, Infinity])/448 + 
   S[-1, Infinity]*((-155*S[2, Infinity]^3)/56 + (999*S[3, Infinity]^2)/224 + 
     (6*S[-5, -1, Infinity])/7) - (36*S[-5, 1, 1, Infinity])/7 + 
   (48*S[5, -1, -1, Infinity])/7, S[-1, 3, -3, Infinity] -> 
  (-141*S[2, Infinity]^2*S[3, Infinity])/224 - 
   (1353*S[2, Infinity]*S[5, Infinity])/224 + (4057*S[7, Infinity])/448 + 
   S[-1, Infinity]*((-17*S[2, Infinity]^3)/35 + (279*S[3, Infinity]^2)/224 + 
     (24*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 + 
   (24*S[5, -1, -1, Infinity])/7, S[-1, 2, 4, Infinity] -> 
  -(S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (1987*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (7543*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/4) - (56709*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((1513*S[2, Infinity]^3)/840 - (27*S[3, Infinity]^2)/28 - 
     (10*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (38*S[5, -1, -1, Infinity])/7 + 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, 2, -4, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] - 
   (5*S[2, Infinity]^2*S[3, Infinity])/2 + S[-1, Infinity]*
    ((-47*S[2, Infinity]^3)/840 - (11*S[3, Infinity]^2)/4) - 
   (161*S[2, Infinity]*S[5, Infinity])/32 + (4227*S[7, Infinity])/256 + 
   4*S[-5, 1, 1, Infinity] - 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, 1, 5, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (41*S[2, Infinity]^2*S[3, Infinity])/32 + S[-1, Infinity]^2*
    ((-3*S[2, Infinity]*S[3, Infinity])/8 - (15*S[5, Infinity])/32) - 
   (251*S[2, Infinity]*S[5, Infinity])/64 + 7*S[7, Infinity] + 
   S[-1, Infinity]*((-4*S[2, Infinity]^3)/7 - (3*S[3, Infinity]^2)/4 + 
     S[-5, -1, Infinity]) + S[5, -1, -1, Infinity] - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-1, 1, -5, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (5*S[2, Infinity]^2*S[3, Infinity])/4 + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/2 - (23*S[5, Infinity])/16) + 
   (73*S[2, Infinity]*S[5, Infinity])/32 - (761*S[7, Infinity])/128 + 
   S[-1, Infinity]*((8*S[2, Infinity]^3)/35 + (7*S[3, Infinity]^2)/4 - 
     S[-5, -1, Infinity]) - 2*S[-5, 1, 1, Infinity] + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -1, 5, Infinity] -> (-11*S[2, Infinity]^2*S[3, Infinity])/10 + 
   S[-1, Infinity]*((3*S[2, Infinity]^3)/56 + (9*S[3, Infinity]^2)/32) - 
   (23*S[-1, Infinity]^2*S[5, Infinity])/16 - 
   (87*S[2, Infinity]*S[5, Infinity])/16 + (1785*S[7, Infinity])/128 + 
   S[5, -1, -1, Infinity], S[-1, -1, -5, Infinity] -> 
  (113*S[2, Infinity]^2*S[3, Infinity])/160 + 
   S[-1, Infinity]*((-111*S[2, Infinity]^3)/280 + (9*S[3, Infinity]^2)/32) - 
   (15*S[-1, Infinity]^2*S[5, Infinity])/32 + 
   (17*S[2, Infinity]*S[5, Infinity])/32 - (315*S[7, Infinity])/64, 
 S[-1, -2, 4, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] + 
   (279*S[2, Infinity]^2*S[3, Infinity])/140 + 
   (799*S[2, Infinity]*S[5, Infinity])/224 - (16339*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((55*S[2, Infinity]^3)/84 + (289*S[3, Infinity]^2)/112 + 
     (2*S[-5, -1, Infinity])/7) - (26*S[-5, 1, 1, Infinity])/7 + 
   (2*S[5, -1, -1, Infinity])/7 + 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -2, -4, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (3561*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/4) - (7403*S[2, Infinity]*S[5, Infinity])/448 + 
   (48099*S[7, Infinity])/1792 + S[-1, Infinity]*
    ((-2021*S[2, Infinity]^3)/840 + (129*S[3, Infinity]^2)/112 + 
     (10*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 + 
   (38*S[5, -1, -1, Infinity])/7 - 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -3, 3, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 - 
   (13*S[2, Infinity]^2*S[3, Infinity])/28 + 
   (415*S[2, Infinity]*S[5, Infinity])/224 + (1011*S[7, Infinity])/448 + 
   S[-1, Infinity]*((151*S[2, Infinity]^3)/280 - (433*S[3, Infinity]^2)/224 - 
     (17*S[-5, -1, Infinity])/7) + (25*S[-5, 1, 1, Infinity])/7 - 
   (17*S[5, -1, -1, Infinity])/7 - 2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-1, -3, -3, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (297*S[2, Infinity]^2*S[3, Infinity])/140 + 
   (9115*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/8 + 
     (93*S[5, Infinity])/8) - (28625*S[7, Infinity])/896 + 
   S[-1, Infinity]*((713*S[2, Infinity]^3)/280 - (873*S[3, Infinity]^2)/224 - 
     (6*S[-5, -1, Infinity])/7) + (36*S[-5, 1, 1, Infinity])/7 - 
   (48*S[5, -1, -1, Infinity])/7 + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-1, -4, 2, Infinity] -> (69*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (325*S[2, Infinity]*S[5, Infinity])/224 - (445*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-29*S[2, Infinity]^3)/105 + (37*S[3, Infinity]^2)/28 + 
     (8*S[-5, -1, Infinity])/7) - (20*S[-5, 1, 1, Infinity])/7 + 
   (8*S[5, -1, -1, Infinity])/7, S[-1, -4, -2, Infinity] -> 
  (-85*S[2, Infinity]^2*S[3, Infinity])/224 - 
   (31*S[-1, Infinity]^2*S[5, Infinity])/4 - 
   (6843*S[2, Infinity]*S[5, Infinity])/448 + (35751*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-1867*S[2, Infinity]^3)/840 + (201*S[3, Infinity]^2)/
      56 + (10*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 + 
   (38*S[5, -1, -1, Infinity])/7, S[-1, -5, 1, Infinity] -> 
  (-37*S[2, Infinity]^2*S[3, Infinity])/40 + 
   S[-1, Infinity]*((2*S[2, Infinity]^3)/5 - S[3, Infinity]^2/2) - 
   (15*S[2, Infinity]*S[5, Infinity])/16 + (889*S[7, Infinity])/128 + 
   S[-5, 1, 1, Infinity], S[-1, -5, -1, Infinity] -> 
  (-9*S[2, Infinity]^2*S[3, Infinity])/20 + (63*S[7, Infinity])/32 + 
   S[-1, Infinity]*((4*S[2, Infinity]^3)/5 - (9*S[3, Infinity]^2)/16 - 
     S[-5, -1, Infinity]), S[-2, 4, 1, Infinity] -> 
  (-107*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (271*S[2, Infinity]*S[5, Infinity])/56 + (8847*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/20 + (9*S[3, Infinity]^2)/112 + 
     (2*S[-5, -1, Infinity])/7) - (26*S[-5, 1, 1, Infinity])/7 + 
   (2*S[5, -1, -1, Infinity])/7, S[-2, 4, -1, Infinity] -> 
  (481*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (31*S[-1, Infinity]^2*S[5, Infinity])/4 + 
   (1479*S[2, Infinity]*S[5, Infinity])/224 - (17187*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((81*S[2, Infinity]^3)/70 - (45*S[3, Infinity]^2)/14 + 
     (18*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 - 
   (10*S[5, -1, -1, Infinity])/7, S[-2, 3, 2, Infinity] -> 
  (-31*S[2, Infinity]^2*S[3, Infinity])/16 - 
   (701*S[2, Infinity]*S[5, Infinity])/64 + (203*S[7, Infinity])/8 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/10 + (9*S[3, Infinity]^2)/8 + 
     4*S[-5, -1, Infinity]) + 4*S[-5, 1, 1, Infinity] + 
   4*S[5, -1, -1, Infinity], S[-2, 3, -2, Infinity] -> 
  (51*S[2, Infinity]*S[5, Infinity])/64 - (35*S[7, Infinity])/64, 
 S[-2, 2, 3, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 - 
   (1079*S[2, Infinity]^2*S[3, Infinity])/560 + 
   (37*S[2, Infinity]*S[5, Infinity])/28 - (1927*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(S[2, Infinity]^3/4 - (339*S[3, Infinity]^2)/112 - 
     (10*S[-5, -1, Infinity])/7) - (10*S[-5, 1, 1, Infinity])/7 - 
   (10*S[5, -1, -1, Infinity])/7 - 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-2, 2, -3, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] + 
   (347*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (1243*S[2, Infinity]*S[5, Infinity])/64 - (10855*S[7, Infinity])/256 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/10 + (19*S[3, Infinity]^2)/8 - 
     4*S[-5, -1, Infinity]) - 4*S[-5, 1, 1, Infinity] - 
   4*S[5, -1, -1, Infinity] + 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-2, 1, 4, Infinity] -> (-571*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (591*S[2, Infinity]*S[5, Infinity])/224 + (1291*S[7, Infinity])/224 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/5 + (9*S[3, Infinity]^2)/28 + 
     (8*S[-5, -1, Infinity])/7) + (8*S[-5, 1, 1, Infinity])/7 + 
   (8*S[5, -1, -1, Infinity])/7, S[-2, 1, -4, Infinity] -> 
  (11*S[2, Infinity]^2*S[3, Infinity])/40 - 
   (179*S[2, Infinity]*S[5, Infinity])/64 + (147*S[7, Infinity])/32, 
 S[-2, -1, 4, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] - 
   (1593*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (1117*S[2, Infinity]*S[5, Infinity])/224 - (3641*S[7, Infinity])/448 + 
   S[-1, Infinity]*((-269*S[2, Infinity]^3)/280 - (10*S[3, Infinity]^2)/7 + 
     (8*S[-5, -1, Infinity])/7) + (8*S[-5, 1, 1, Infinity])/7 + 
   (8*S[5, -1, -1, Infinity])/7 - 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-2, -1, -4, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (1077*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (13315*S[2, Infinity]*S[5, Infinity])/448 + 
   S[-1, Infinity]^2*((3*S[2, Infinity]*S[3, Infinity])/4 + 
     (31*S[5, Infinity])/2) - (21477*S[7, Infinity])/448 + 
   S[-1, Infinity]*((589*S[2, Infinity]^3)/140 - (531*S[3, Infinity]^2)/112 - 
     (20*S[-5, -1, Infinity])/7) + (36*S[-5, 1, 1, Infinity])/7 - 
   (76*S[5, -1, -1, Infinity])/7 + 3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-2, -2, 3, Infinity] -> (39*S[2, Infinity]^2*S[3, Infinity])/80 - 
   (191*S[2, Infinity]*S[5, Infinity])/64 + (1115*S[7, Infinity])/256, 
 S[-2, -2, -3, Infinity] -> (-417*S[2, Infinity]^2*S[3, Infinity])/280 - 
   (367*S[2, Infinity]*S[5, Infinity])/56 + (28523*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-9*S[2, Infinity]^3)/20 + (81*S[3, Infinity]^2)/112 + 
     (18*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 + 
   (18*S[5, -1, -1, Infinity])/7, S[-2, -3, 2, Infinity] -> 
  (317*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (299*S[2, Infinity]*S[5, Infinity])/64 - (1721*S[7, Infinity])/128, 
 S[-2, -3, -2, Infinity] -> (81*S[2, Infinity]^2*S[3, Infinity])/140 + 
   (2803*S[2, Infinity]*S[5, Infinity])/224 - (11493*S[7, Infinity])/448 + 
   S[-1, Infinity]*((9*S[2, Infinity]^3)/10 - (81*S[3, Infinity]^2)/56 - 
     (36*S[-5, -1, Infinity])/7) - (36*S[-5, 1, 1, Infinity])/7 - 
   (36*S[5, -1, -1, Infinity])/7, S[-2, -4, 1, Infinity] -> 
  (17*S[2, Infinity]^2*S[3, Infinity])/40 + 
   (177*S[2, Infinity]*S[5, Infinity])/64 - (1335*S[7, Infinity])/256, 
 S[-2, -4, -1, Infinity] -> (-1727*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (31*S[-1, Infinity]^2*S[5, Infinity])/4 - 
   (907*S[2, Infinity]*S[5, Infinity])/56 + (48393*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-13*S[2, Infinity]^3)/7 + (243*S[3, Infinity]^2)/56 + 
     (10*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 + 
   (38*S[5, -1, -1, Infinity])/7, S[-3, 3, 1, Infinity] -> 
  (367*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (1219*S[2, Infinity]*S[5, Infinity])/112 - (16745*S[7, Infinity])/896 + 
   S[-1, Infinity]*((17*S[2, Infinity]^3)/40 - (153*S[3, Infinity]^2)/224 - 
     (17*S[-5, -1, Infinity])/7) + (25*S[-5, 1, 1, Infinity])/7 - 
   (17*S[5, -1, -1, Infinity])/7, S[-3, 3, -1, Infinity] -> 
  (-69*S[2, Infinity]^2*S[3, Infinity])/70 - 
   (93*S[-1, Infinity]^2*S[5, Infinity])/8 - 
   (3243*S[2, Infinity]*S[5, Infinity])/224 + (10231*S[7, Infinity])/448 + 
   S[-1, Infinity]*((-639*S[2, Infinity]^3)/280 + (45*S[3, Infinity]^2)/14 - 
     (18*S[-5, -1, Infinity])/7) - (18*S[-5, 1, 1, Infinity])/7 + 
   (24*S[5, -1, -1, Infinity])/7, S[-3, 2, 2, Infinity] -> 
  (-155*S[2, Infinity]^2*S[3, Infinity])/224 - 
   (2041*S[2, Infinity]*S[5, Infinity])/448 + (17145*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/4 + (45*S[3, Infinity]^2)/112 + 
     (10*S[-5, -1, Infinity])/7) + (10*S[-5, 1, 1, Infinity])/7 + 
   (10*S[5, -1, -1, Infinity])/7, S[-3, 2, -2, Infinity] -> 
  (-7*S[-1, Infinity]^4*S[3, Infinity])/24 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 + 
   (753*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (151*S[2, Infinity]*S[5, Infinity])/32 - (3799*S[7, Infinity])/256 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/10 + 5*S[3, Infinity]^2 - 
     4*S[-5, -1, Infinity]) - 4*S[-5, 1, 1, Infinity] - 
   4*S[5, -1, -1, Infinity] + 7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-3, 1, 3, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/16 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (213*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (125*S[2, Infinity]*S[5, Infinity])/32 - (653*S[7, Infinity])/64 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/40 + (33*S[3, Infinity]^2)/32 - 
     S[-5, -1, Infinity]) - S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-3, 1, -3, Infinity] -> (11*S[-1, Infinity]^4*S[3, Infinity])/48 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 - 
   (167*S[2, Infinity]^2*S[3, Infinity])/40 - 
   (47*S[2, Infinity]*S[5, Infinity])/4 + (3667*S[7, Infinity])/128 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/10 - (59*S[3, Infinity]^2)/16 + 
     4*S[-5, -1, Infinity]) + 4*S[-5, 1, 1, Infinity] + 
   4*S[5, -1, -1, Infinity] - (11*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-3, -1, 3, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/2 + 
   (23*S[2, Infinity]^2*S[3, Infinity])/20 - 
   (27*S[2, Infinity]*S[5, Infinity])/4 + (1361*S[7, Infinity])/128 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/40 + (5*S[3, Infinity]^2)/4 - 
     S[-5, -1, Infinity]) - S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-3, -1, -3, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/16 - 
   (123*S[2, Infinity]^2*S[3, Infinity])/28 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/8 - 
     (93*S[5, Infinity])/4) - (1149*S[2, Infinity]*S[5, Infinity])/28 + 
   (28233*S[7, Infinity])/448 + S[-1, Infinity]*((-186*S[2, Infinity]^3)/35 + 
     (117*S[3, Infinity]^2)/14 + (12*S[-5, -1, Infinity])/7) - 
   (72*S[-5, 1, 1, Infinity])/7 + (96*S[5, -1, -1, Infinity])/7 - 
   (3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-3, -2, 2, Infinity] -> (7*S[-1, Infinity]^4*S[3, Infinity])/24 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/4 - 
   (47*S[2, Infinity]^2*S[3, Infinity])/8 - 
   (223*S[2, Infinity]*S[5, Infinity])/16 + (9219*S[7, Infinity])/256 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/10 - 5*S[3, Infinity]^2 + 
     4*S[-5, -1, Infinity]) + 4*S[-5, 1, 1, Infinity] + 
   4*S[5, -1, -1, Infinity] - 7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-3, -2, -2, Infinity] -> (747*S[2, Infinity]^2*S[3, Infinity])/1120 - 
   (1447*S[2, Infinity]*S[5, Infinity])/224 + (15685*S[7, Infinity])/1792 + 
   S[-1, Infinity]*((-9*S[2, Infinity]^3)/20 + (81*S[3, Infinity]^2)/112 + 
     (18*S[-5, -1, Infinity])/7) + (18*S[-5, 1, 1, Infinity])/7 + 
   (18*S[5, -1, -1, Infinity])/7, S[-3, -3, 1, Infinity] -> 
  (-7*S[-1, Infinity]^4*S[3, Infinity])/48 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity])/8 + 
   (43*S[2, Infinity]^2*S[3, Infinity])/20 + 
   (11*S[2, Infinity]*S[5, Infinity])/16 - (443*S[7, Infinity])/128 + 
   S[-1, Infinity]*((7*S[2, Infinity]^3)/20 + (5*S[3, Infinity]^2)/2 - 
     2*S[-5, -1, Infinity]) - 2*S[-5, 1, 1, Infinity] - 
   2*S[5, -1, -1, Infinity] + (7*S[3, Infinity]*S[-1, 1, 1, 1, Infinity])/2, 
 S[-3, -3, -1, Infinity] -> (69*S[2, Infinity]^2*S[3, Infinity])/35 + 
   (93*S[-1, Infinity]^2*S[5, Infinity])/8 + 
   (9269*S[2, Infinity]*S[5, Infinity])/448 - (28723*S[7, Infinity])/896 + 
   S[-1, Infinity]*((807*S[2, Infinity]^3)/280 - (117*S[3, Infinity]^2)/28 - 
     (6*S[-5, -1, Infinity])/7) + (36*S[-5, 1, 1, Infinity])/7 - 
   (48*S[5, -1, -1, Infinity])/7, S[-4, 2, 1, Infinity] -> 
  (-36*S[2, Infinity]^2*S[3, Infinity])/35 - 
   (129*S[2, Infinity]*S[5, Infinity])/28 + (12197*S[7, Infinity])/1792 + 
   S[-1, Infinity]*(-S[2, Infinity]^3/5 + (9*S[3, Infinity]^2)/28 + 
     (8*S[-5, -1, Infinity])/7) - (20*S[-5, 1, 1, Infinity])/7 + 
   (8*S[5, -1, -1, Infinity])/7, S[-4, 2, -1, Infinity] -> 
  (S[-1, Infinity]^4*S[3, Infinity])/6 - 
   (159*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (169*S[2, Infinity]*S[5, Infinity])/32 + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity]) + (31*S[5, Infinity])/4) - 
   (1065*S[7, Infinity])/256 + S[-1, Infinity]*((17*S[2, Infinity]^3)/40 - 
     5*S[3, Infinity]^2 + 4*S[-5, -1, Infinity]) + 4*S[-5, 1, 1, Infinity] - 
   4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-4, 1, 2, Infinity] -> (31*S[2, Infinity]^2*S[3, Infinity])/56 + 
   (1413*S[2, Infinity]*S[5, Infinity])/448 - (7551*S[7, Infinity])/896 + 
   S[-1, Infinity]*(S[2, Infinity]^3/5 - (9*S[3, Infinity]^2)/28 - 
     (8*S[-5, -1, Infinity])/7) - (8*S[-5, 1, 1, Infinity])/7 - 
   (8*S[5, -1, -1, Infinity])/7, S[-4, 1, -2, Infinity] -> 
  (-37*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (75*S[2, Infinity]*S[5, Infinity])/32 - (147*S[7, Infinity])/64, 
 S[-4, -1, 2, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/6 + 
   S[-1, Infinity]^2*S[2, Infinity]*S[3, Infinity] + 
   (869*S[2, Infinity]^2*S[3, Infinity])/280 + 
   (1181*S[2, Infinity]*S[5, Infinity])/112 - (19997*S[7, Infinity])/896 + 
   S[-1, Infinity]*((103*S[2, Infinity]^3)/140 + (10*S[3, Infinity]^2)/7 - 
     (8*S[-5, -1, Infinity])/7) - (8*S[-5, 1, 1, Infinity])/7 - 
   (8*S[5, -1, -1, Infinity])/7 + 4*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-4, -1, -2, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/8 + 
   (4231*S[2, Infinity]^2*S[3, Infinity])/1120 + 
   (471*S[2, Infinity]*S[5, Infinity])/14 + S[-1, Infinity]^2*
    ((3*S[2, Infinity]*S[3, Infinity])/4 + (31*S[5, Infinity])/2) - 
   (6141*S[7, Infinity])/112 + S[-1, Infinity]*((142*S[2, Infinity]^3)/35 - 
     (531*S[3, Infinity]^2)/112 - (20*S[-5, -1, Infinity])/7) + 
   (36*S[-5, 1, 1, Infinity])/7 - (76*S[5, -1, -1, Infinity])/7 + 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-4, -2, 1, Infinity] -> (-9*S[2, Infinity]^2*S[3, Infinity])/32 + 
   (67*S[2, Infinity]*S[5, Infinity])/16 - (1335*S[7, Infinity])/256, 
 S[-4, -2, -1, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/8 - 
   (1609*S[2, Infinity]^2*S[3, Infinity])/560 + 
   S[-1, Infinity]^2*((-3*S[2, Infinity]*S[3, Infinity])/4 - 
     (31*S[5, Infinity])/4) - (7109*S[2, Infinity]*S[5, Infinity])/448 + 
   (48393*S[7, Infinity])/1792 + S[-1, Infinity]*((-11*S[2, Infinity]^3)/8 + 
     (45*S[3, Infinity]^2)/112 + (10*S[-5, -1, Infinity])/7) - 
   (18*S[-5, 1, 1, Infinity])/7 + (38*S[5, -1, -1, Infinity])/7 - 
   3*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-5, 1, -1, Infinity] -> -(S[-1, Infinity]^4*S[3, Infinity])/12 + 
   (19*S[2, Infinity]^2*S[3, Infinity])/20 + S[-1, Infinity]^2*
    ((S[2, Infinity]*S[3, Infinity])/2 - (93*S[5, Infinity])/32) - 
   (31*S[2, Infinity]*S[5, Infinity])/16 + (121*S[7, Infinity])/128 + 
   S[-1, Infinity]*((-11*S[2, Infinity]^3)/20 + (5*S[3, Infinity]^2)/2 - 
     2*S[-5, -1, Infinity]) - 2*S[-5, 1, 1, Infinity] + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-5, -1, 1, Infinity] -> (S[-1, Infinity]^4*S[3, Infinity])/12 - 
   (41*S[2, Infinity]^2*S[3, Infinity])/40 + S[-1, Infinity]^2*
    (-(S[2, Infinity]*S[3, Infinity])/2 + (31*S[5, Infinity])/32) - 
   (45*S[2, Infinity]*S[5, Infinity])/16 + (889*S[7, Infinity])/128 + 
   S[-1, Infinity]*((-2*S[2, Infinity]^3)/5 - (5*S[3, Infinity]^2)/4 + 
     S[-5, -1, Infinity]) + S[-5, 1, 1, Infinity] - 
   2*S[3, Infinity]*S[-1, 1, 1, 1, Infinity], 
 S[-5, -1, -1, Infinity] -> (-41*S[2, Infinity]^2*S[3, Infinity])/160 - 
   S[2, Infinity]*S[5, Infinity] + (63*S[7, Infinity])/32 + 
   S[-1, Infinity]*((-7*S[2, Infinity]^3)/40 + (9*S[3, Infinity]^2)/32 + 
     S[-5, -1, Infinity]), S[6, 1, Infinity] -> 
  (-2*S[2, Infinity]^2*S[3, Infinity])/5 - S[2, Infinity]*S[5, Infinity] + 
   4*S[7, Infinity], S[6, -1, Infinity] -> 
  (9*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
   (21*S[2, Infinity]^2*S[3, Infinity])/80 - 
   (15*S[2, Infinity]*S[5, Infinity])/32 + (129*S[7, Infinity])/64, 
 S[5, 2, Infinity] -> (4*S[2, Infinity]^2*S[3, Infinity])/5 + 
   5*S[2, Infinity]*S[5, Infinity] - 10*S[7, Infinity], 
 S[5, -2, Infinity] -> (21*S[2, Infinity]^2*S[3, Infinity])/40 + 
   (11*S[2, Infinity]*S[5, Infinity])/8 - (645*S[7, Infinity])/128, 
 S[4, 3, Infinity] -> -10*S[2, Infinity]*S[5, Infinity] + 18*S[7, Infinity], 
 S[4, -3, Infinity] -> (-9*S[2, Infinity]^2*S[3, Infinity])/16 - 
   (13*S[2, Infinity]*S[5, Infinity])/16 + (17*S[7, Infinity])/8, 
 S[3, 4, Infinity] -> (2*S[2, Infinity]^2*S[3, Infinity])/5 + 
   10*S[2, Infinity]*S[5, Infinity] - 17*S[7, Infinity], 
 S[3, -4, Infinity] -> (-7*S[2, Infinity]^2*S[3, Infinity])/20 - 
   (9*S[2, Infinity]*S[5, Infinity])/8 + (237*S[7, Infinity])/128, 
 S[2, 5, Infinity] -> (-4*S[2, Infinity]^2*S[3, Infinity])/5 - 
   4*S[2, Infinity]*S[5, Infinity] + 11*S[7, Infinity], 
 S[2, -5, Infinity] -> (7*S[2, Infinity]^2*S[3, Infinity])/10 + 
   (19*S[2, Infinity]*S[5, Infinity])/32 - (39*S[7, Infinity])/8, 
 S[-1, 6, Infinity] -> (-31*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
   (21*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (15*S[2, Infinity]*S[5, Infinity])/32 - 3*S[7, Infinity], 
 S[-1, -6, Infinity] -> (8*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
   (3*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (15*S[2, Infinity]*S[5, Infinity])/16 + (505*S[7, Infinity])/128, 
 S[-2, 5, Infinity] -> (-21*S[2, Infinity]^2*S[3, Infinity])/40 - 
   (15*S[2, Infinity]*S[5, Infinity])/8 + (519*S[7, Infinity])/128, 
 S[-2, -5, Infinity] -> (3*S[2, Infinity]^2*S[3, Infinity])/5 + 
   (165*S[2, Infinity]*S[5, Infinity])/32 - (1259*S[7, Infinity])/128, 
 S[-3, 4, Infinity] -> (21*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (13*S[2, Infinity]*S[5, Infinity])/16 - (199*S[7, Infinity])/64, 
 S[-3, -4, Infinity] -> (-3*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (75*S[2, Infinity]*S[5, Infinity])/8 + (2269*S[7, Infinity])/128, 
 S[-4, 3, Infinity] -> (9*S[2, Infinity]*S[5, Infinity])/8 - 
   (363*S[7, Infinity])/128, S[-4, -3, Infinity] -> 
  (9*S[2, Infinity]^2*S[3, Infinity])/16 + (75*S[2, Infinity]*S[5, Infinity])/
    8 - (2141*S[7, Infinity])/128, S[-5, 2, Infinity] -> 
  (-7*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (49*S[2, Infinity]*S[5, Infinity])/32 + (249*S[7, Infinity])/64, 
 S[-5, -2, Infinity] -> (-3*S[2, Infinity]^2*S[3, Infinity])/5 - 
   (75*S[2, Infinity]*S[5, Infinity])/16 + (1387*S[7, Infinity])/128, 
 S[-6, 1, Infinity] -> (7*S[2, Infinity]^2*S[3, Infinity])/20 + 
   (S[2, Infinity]*S[5, Infinity])/2 - (377*S[7, Infinity])/128, 
 S[-6, -1, Infinity] -> (-9*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
   (3*S[2, Infinity]^2*S[3, Infinity])/10 + 
   (15*S[2, Infinity]*S[5, Infinity])/16 - (377*S[7, Infinity])/128, 
 S[-7, Infinity] -> (-63*S[7, Infinity])/64, 
 S[1, -7, Infinity] -> (951*S[2, Infinity]^4)/2800 - 
   (27*S[3, Infinity]*S[5, Infinity])/16 + 
   (127*S[-1, Infinity]*S[7, Infinity])/64 - 
   (63*S[1, Infinity]*S[7, Infinity])/64 + S[-7, -1, Infinity], 
 S[1, 7, Infinity] -> (-6*S[2, Infinity]^4)/35 + 
   S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*S[7, Infinity], 
 S[1, -6, -1, Infinity] -> (-1721*S[2, Infinity]^4)/28000 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/4 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((-3*S[-1, Infinity]*S[2, Infinity])/2 - (47*S[3, Infinity])/32)*
    S[5, Infinity] + S[1, Infinity]*((-9*S[-1, Infinity]*S[2, Infinity]^3)/
      20 + (3*S[2, Infinity]^2*S[3, Infinity])/10 + 
     (15*S[2, Infinity]*S[5, Infinity])/16 - (377*S[7, Infinity])/128) + 
   (-50*S[-7, -1, Infinity] - 9*S[5, 3, Infinity])/20, 
 S[1, -6, 1, Infinity] -> (10279*S[2, Infinity]^4)/28000 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - (11*S[3, Infinity]*S[5, Infinity])/
    4 + S[1, Infinity]*((7*S[2, Infinity]^2*S[3, Infinity])/20 + 
     (S[2, Infinity]*S[5, Infinity])/2 - (377*S[7, Infinity])/128) - 
   (9*S[5, 3, Infinity])/20, S[1, 6, -1, Infinity] -> 
  (2213*S[2, Infinity]^4)/5600 + (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/4 - (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((3*S[-1, Infinity]*S[2, Infinity])/2 - (113*S[3, Infinity])/128)*
    S[5, Infinity] + (127*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[1, Infinity]*((9*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (21*S[2, Infinity]^2*S[3, Infinity])/80 - 
     (15*S[2, Infinity]*S[5, Infinity])/32 + (129*S[7, Infinity])/64) + 
   (224*S[-7, -1, Infinity] + 29*S[5, 3, Infinity])/64, 
 S[1, 6, 1, Infinity] -> (-514*S[2, Infinity]^4)/875 - 
   S[2, Infinity]*S[3, Infinity]^2 + 5*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((-2*S[2, Infinity]^2*S[3, Infinity])/5 - 
     S[2, Infinity]*S[5, Infinity] + 4*S[7, Infinity]) + 
   (2*S[5, 3, Infinity])/5, S[1, -5, -2, Infinity] -> 
  (-3247*S[2, Infinity]^4)/5600 - (9*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/16 + (131*S[3, Infinity])/16)*
    S[5, Infinity] + S[1, Infinity]*((-3*S[2, Infinity]^2*S[3, Infinity])/5 - 
     (75*S[2, Infinity]*S[5, Infinity])/16 + (1387*S[7, Infinity])/128) + 
   S[2, Infinity]*S[-5, -1, Infinity] + (9*S[5, 3, Infinity])/128, 
 S[1, -5, 2, Infinity] -> (3827*S[2, Infinity]^4)/14000 - 
   (5*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/32 - (15*S[3, Infinity])/32)*
    S[5, Infinity] + (889*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[1, Infinity]*((-7*S[2, Infinity]^2*S[3, Infinity])/10 - 
     (49*S[2, Infinity]*S[5, Infinity])/32 + (249*S[7, Infinity])/64) - 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (2240*S[-7, -1, Infinity] + 657*S[5, 3, Infinity])/640, 
 S[1, 5, -2, Infinity] -> (-19*S[2, Infinity]^4)/28000 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - (69*S[3, Infinity]*S[5, Infinity])/
    64 + S[1, Infinity]*((21*S[2, Infinity]^2*S[3, Infinity])/40 + 
     (11*S[2, Infinity]*S[5, Infinity])/8 - (645*S[7, Infinity])/128) - 
   (635*S[-1, Infinity]*S[7, Infinity])/128 + 
   (-800*S[-7, -1, Infinity] - 241*S[5, 3, Infinity])/320, 
 S[1, 5, 2, Infinity] -> (91*S[2, Infinity]^4)/125 + 
   (5*S[2, Infinity]*S[3, Infinity]^2)/2 - (17*S[3, Infinity]*S[5, Infinity])/
    2 + S[1, Infinity]*((4*S[2, Infinity]^2*S[3, Infinity])/5 + 
     5*S[2, Infinity]*S[5, Infinity] - 10*S[7, Infinity]) - 
   (7*S[5, 3, Infinity])/10, S[1, -4, -3, Infinity] -> 
  (28811*S[2, Infinity]^4)/84000 + (15*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (815*S[3, Infinity]*S[5, Infinity])/128 + 
   S[1, Infinity]*((9*S[2, Infinity]^2*S[3, Infinity])/16 + 
     (75*S[2, Infinity]*S[5, Infinity])/8 - (2141*S[7, Infinity])/128) + 
   (621*S[5, 3, Infinity])/640, S[1, -4, 3, Infinity] -> 
  (-201359*S[2, Infinity]^4)/168000 - (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (189*S[3, Infinity]*S[5, Infinity])/32 + 
   S[1, Infinity]*((9*S[2, Infinity]*S[5, Infinity])/8 - 
     (363*S[7, Infinity])/128) - (889*S[-1, Infinity]*S[7, Infinity])/64 + 
   (-4480*S[-7, -1, Infinity] - 297*S[5, 3, Infinity])/640, 
 S[1, 4, -3, Infinity] -> (57613*S[2, Infinity]^4)/42000 - 
   (5*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (653*S[3, Infinity]*S[5, Infinity])/128 + 
   (127*S[-1, Infinity]*S[7, Infinity])/8 + 
   S[1, Infinity]*((-9*S[2, Infinity]^2*S[3, Infinity])/16 - 
     (13*S[2, Infinity]*S[5, Infinity])/16 + (17*S[7, Infinity])/8) + 
   (5120*S[-7, -1, Infinity] + 621*S[5, 3, Infinity])/640, 
 S[1, 4, 3, Infinity] -> (-31*S[2, Infinity]^4)/75 - 
   S[2, Infinity]*S[3, Infinity]^2 + (11*S[3, Infinity]*S[5, Infinity])/2 + 
   S[1, Infinity]*(-10*S[2, Infinity]*S[5, Infinity] + 18*S[7, Infinity]) - 
   (3*S[5, 3, Infinity])/2, S[1, -3, -4, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (299*S[2, Infinity]^4)/1400 + 
   (7*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (33*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (829*S[3, Infinity]*S[5, Infinity])/128 + 
   S[1, Infinity]*((-3*S[2, Infinity]^2*S[3, Infinity])/10 - 
     (75*S[2, Infinity]*S[5, Infinity])/8 + (2269*S[7, Infinity])/128) - 
   (207*S[5, 3, Infinity])/128 + S[2, Infinity]^2*(-S[-1, Infinity]^4/30 + 
     (4*S[-1, 1, 1, 1, Infinity])/5), S[1, -3, 4, Infinity] -> 
  (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (29629*S[2, Infinity]^4)/
    14000 - (49*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (33*S[2, Infinity]*S[3, Infinity]^2)/64 - 
   (1543*S[3, Infinity]*S[5, Infinity])/128 + 
   S[1, Infinity]*((21*S[2, Infinity]^2*S[3, Infinity])/80 + 
     (13*S[2, Infinity]*S[5, Infinity])/16 - (199*S[7, Infinity])/64) + 
   (2667*S[-1, Infinity]*S[7, Infinity])/128 + 
   (21*(320*S[-7, -1, Infinity] + 9*S[5, 3, Infinity]))/640 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/240 - (7*S[-1, 1, 1, 1, Infinity])/
      10), S[1, 3, -4, Infinity] -> (-46061*S[2, Infinity]^4)/28000 - 
   (S[2, Infinity]*S[3, Infinity]^2)/4 + (257*S[3, Infinity]*S[5, Infinity])/
    32 - (2413*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[1, Infinity]*((-7*S[2, Infinity]^2*S[3, Infinity])/20 - 
     (9*S[2, Infinity]*S[5, Infinity])/8 + (237*S[7, Infinity])/128) + 
   (-1520*S[-7, -1, Infinity] - 127*S[5, 3, Infinity])/160, 
 S[1, 3, 4, Infinity] -> (-38*S[2, Infinity]^4)/175 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - 2*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((2*S[2, Infinity]^2*S[3, Infinity])/5 + 
     10*S[2, Infinity]*S[5, Infinity] - 17*S[7, Infinity]) + 
   (5*S[5, 3, Infinity])/2, S[1, -2, -5, Infinity] -> 
  (10391*S[2, Infinity]^4)/42000 + (3*S[2, Infinity]*S[3, Infinity]^2)/4 - 
   (29*S[3, Infinity]*S[5, Infinity])/8 + S[1, Infinity]*
    ((3*S[2, Infinity]^2*S[3, Infinity])/5 + 
     (165*S[2, Infinity]*S[5, Infinity])/32 - (1259*S[7, Infinity])/128) + 
   (657*S[5, 3, Infinity])/640, S[1, -2, 5, Infinity] -> 
  (-241867*S[2, Infinity]^4)/168000 - (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (921*S[3, Infinity]*S[5, Infinity])/128 - 
   (889*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[1, Infinity]*((-21*S[2, Infinity]^2*S[3, Infinity])/40 - 
     (15*S[2, Infinity]*S[5, Infinity])/8 + (519*S[7, Infinity])/128) + 
   (-4480*S[-7, -1, Infinity] - 261*S[5, 3, Infinity])/640, 
 S[1, 2, -5, Infinity] -> (24667*S[2, Infinity]^4)/12000 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - (155*S[3, Infinity]*S[5, Infinity])/
    16 + S[1, Infinity]*((7*S[2, Infinity]^2*S[3, Infinity])/10 + 
     (19*S[2, Infinity]*S[5, Infinity])/32 - (39*S[7, Infinity])/8) + 
   (127*S[-1, Infinity]*S[7, Infinity])/8 + 
   (5120*S[-7, -1, Infinity] + 79*S[5, 3, Infinity])/640, 
 S[1, 2, 5, Infinity] -> (-2014*S[2, Infinity]^4)/2625 - 
   S[2, Infinity]*S[3, Infinity]^2 + 6*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((-4*S[2, Infinity]^2*S[3, Infinity])/5 - 
     4*S[2, Infinity]*S[5, Infinity] + 11*S[7, Infinity]) - 
   (7*S[5, 3, Infinity])/10, S[1, -1, -6, Infinity] -> 
  (-11*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (13*S[2, Infinity]^4)/35 + 
   (S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((8*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (3*S[2, Infinity]^2*S[3, Infinity])/10 - 
     (15*S[2, Infinity]*S[5, Infinity])/16 + (505*S[7, Infinity])/128) + 
   (7*S[-7, -1, Infinity])/2 - S[2, Infinity]*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (4*S[-1, 1, 1, 1, Infinity])/5), 
 S[1, -1, 6, Infinity] -> (2*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + 
   (1051*S[2, Infinity]^4)/1120 - (189*S[3, Infinity]*S[5, Infinity])/64 + 
   S[1, Infinity]*((-31*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (21*S[2, Infinity]^2*S[3, Infinity])/80 + 
     (15*S[2, Infinity]*S[5, Infinity])/32 - 3*S[7, Infinity]) + 
   (889*S[-1, Infinity]*S[7, Infinity])/128 + S[-7, -1, Infinity] + 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + S[2, Infinity]^2*
    ((-7*S[-1, Infinity]^4)/240 + (7*S[-1, 1, 1, 1, Infinity])/10), 
 S[1, 1, -6, Infinity] -> (-31*S[1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2229*S[2, Infinity]^4)/2800 - (S[2, Infinity]*S[3, Infinity]^2)/4 + 
   (119*S[3, Infinity]*S[5, Infinity])/32 - 
   (635*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[1, Infinity]*((-7*S[2, Infinity]^2*S[3, Infinity])/20 - 
     (S[2, Infinity]*S[5, Infinity])/2 + (251*S[7, Infinity])/128) - 
   (5*S[-7, -1, Infinity])/2, S[1, 1, 6, Infinity] -> 
  (4*S[1, Infinity]^2*S[2, Infinity]^3)/35 + (81*S[2, Infinity]^4)/175 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - 3*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((2*S[2, Infinity]^2*S[3, Infinity])/5 + 
     S[2, Infinity]*S[5, Infinity] - 3*S[7, Infinity]), 
 S[1, -5, -1, -1, Infinity] -> (27*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (2991*S[2, Infinity]^4)/7000 + (31*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/160 + ((-49*S[-1, Infinity]^2)/32 - 
     (89*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/24 + 4*S[-1, Infinity]*S[2, Infinity] + 
     (53*S[3, Infinity])/128)*S[5, Infinity] + 
   (637*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (41*S[2, Infinity]^2*S[3, Infinity])/160 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/32 - S[2, Infinity]*
      S[5, Infinity] + (63*S[7, Infinity])/32 + S[-1, Infinity]*
      S[-5, -1, Infinity]) + S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (3840*S[-7, -1, Infinity] + 947*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity])/640, S[1, -5, -1, 1, Infinity] -> 
  (9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (22843*S[2, Infinity]^4)/
    28000 - (15*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((31*S[-1, Infinity]^3)/96 + (31*S[-1, Infinity]*S[2, Infinity])/32 + 
     (1167*S[3, Infinity])/128)*S[5, Infinity] - 
   (5*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (2240*S[-7, -1, Infinity] + 301*S[5, 3, Infinity] + 
     640*S[-5, -1, 1, 1, Infinity])/640 + S[1, Infinity]*
    ((-2*S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((31*S[-1, Infinity]^2)/32 - (45*S[2, Infinity])/16)*S[5, Infinity] + 
     (889*S[7, Infinity])/128 + S[-1, Infinity]*S[-5, -1, Infinity] + 
     S[-5, 1, 1, Infinity] + S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 - (41*S[2, Infinity]^2)/40 - 
       2*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/10 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -5, 1, -1, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 + 
   (2301*S[2, Infinity]^4)/5600 + ((-5*S[-1, Infinity]^2)/4 - 
     (3*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/32 - (425*S[3, Infinity])/128)*S[5, Infinity] + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (17*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-1792*S[-7, -1, Infinity] - 201*S[5, 3, Infinity] - 
     384*S[-5, -1, 1, 1, Infinity])/128 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/60 + (2*S[-1, 1, 1, 1, Infinity])/5) + 
   S[1, Infinity]*((-11*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     ((-93*S[-1, Infinity]^2)/32 - (31*S[2, Infinity])/16)*S[5, Infinity] + 
     (121*S[7, Infinity])/128 - 2*S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*S[-5, 1, 1, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (19*S[2, Infinity]^2)/20 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (51*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[1, -5, 1, 1, Infinity] -> 
  (9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (2721*S[2, Infinity]^4)/5600 + 
   (15*S[-1, Infinity]^2*S[3, Infinity]^2)/8 + 
   ((-31*S[-1, Infinity]^3)/16 - (65*S[-1, Infinity]*S[2, Infinity])/32 + 
     (509*S[3, Infinity])/128)*S[5, Infinity] + 
   (121*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (17*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   3*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   S[1, Infinity]*S[-5, 1, 1, Infinity] + 
   (1792*S[-7, -1, Infinity] + 201*S[5, 3, Infinity] + 
     384*S[-5, -1, 1, 1, Infinity])/128 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/40 - (3*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/
      2 + (9*S[-1, Infinity]*S[2, Infinity]^2)/4 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[1, 5, -1, -1, Infinity] -> 
  (-33*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (32677*S[2, Infinity]^4)/
    56000 + ((29*S[-1, Infinity]^2)/32 + (93*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 - 
     (127*S[-1, Infinity]*S[2, Infinity])/32 - (2321*S[3, Infinity])/256)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   3*S[2, Infinity]*S[-5, -1, Infinity] + S[1, Infinity]*
    S[5, -1, -1, Infinity] + (-10240*S[-7, -1, Infinity] - 
     2479*S[5, 3, Infinity] - 1280*S[-5, -1, -1, -1, Infinity] - 
     1280*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/120 + S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/
      6 - (151*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 5, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (S[-1, Infinity]^2*S[2, Infinity]^3)/2 - 
   (3587*S[2, Infinity]^4)/11200 + ((5*S[-1, Infinity]^2)/8 - 
     (143*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-341*S[-1, Infinity]^3)/96 - (31*S[-1, Infinity]*S[2, Infinity])/16 + 
     (1425*S[3, Infinity])/256)*S[5, Infinity] + 
   (1657*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   3*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/240 - 
     (19*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 6*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (124*S[-7, -1, Infinity] + 21*S[5, 3, Infinity] + 
     16*S[-5, -1, -1, -1, Infinity] + 16*S[-5, -1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, Infinity]^2)/8 + S[1, Infinity]*
    ((43*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((93*S[-1, Infinity]^2)/32 + (409*S[2, Infinity])/64)*S[5, Infinity] - 
     (1657*S[7, Infinity])/128 - S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*S[5, -1, -1, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (231*S[2, Infinity]^2)/160 + 
       (3*S[-1, 1, 1, 1, Infinity])/2)) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/80 - (13*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (71*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[1, 5, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (4*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (9*S[2, Infinity]^4)/32 + ((5*S[-1, Infinity]^2)/8 - S[2, Infinity]/16)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 + 
     (95*S[-1, Infinity]*S[2, Infinity])/32 + (29*S[3, Infinity])/256)*
    S[5, Infinity] - (891*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((-31*S[-1, Infinity]^2)/32 - (161*S[2, Infinity])/64)*S[5, Infinity] + 
     (635*S[7, Infinity])/128 + S[-1, Infinity]*S[-5, -1, Infinity] + 
     S[5, -1, -1, Infinity] + S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (163*S[2, Infinity]^2)/160 - 
       (3*S[-1, 1, 1, 1, Infinity])/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   2*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/16 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/48 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (83*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]), S[1, 5, 1, 1, Infinity] -> 
  S[2, Infinity]^4/200 + S[2, Infinity]*S[3, Infinity]^2 - 
   2*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    (-(S[2, Infinity]^2*S[3, Infinity])/10 + 2*S[2, Infinity]*
      S[5, Infinity] - 2*S[7, Infinity]), S[1, -4, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/144 - (33*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (36899*S[2, Infinity]^4)/49000 + ((-117*S[-1, Infinity]^2)/112 + 
     (1451*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (1279*S[-1, Infinity]*S[2, Infinity])/448 - 
     (3863*S[3, Infinity])/224)*S[5, Infinity] - 
   (28869*S[-1, Infinity]*S[7, Infinity])/896 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((-11*S[-1, Infinity]*S[2, Infinity]^3)/8 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/4 - (7109*S[2, Infinity])/448)*S[5, Infinity] + 
     (48393*S[7, Infinity])/1792 + (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (1609*S[2, Infinity]^2)/560 - 
       3*S[-1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/840 + 
     (151*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + (134*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-454400*S[-7, -1, Infinity] - 76609*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-51*S[-1, Infinity]^5)/280 + 
     (55*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1677*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (92*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -4, -2, 1, Infinity] -> 
  (-3719*S[2, Infinity]^4)/28000 + (15*S[2, Infinity]*S[3, Infinity]^2)/16 - 
   (505*S[3, Infinity]*S[5, Infinity])/256 + 
   S[1, Infinity]*((-9*S[2, Infinity]^2*S[3, Infinity])/32 + 
     (67*S[2, Infinity]*S[5, Infinity])/16 - (1335*S[7, Infinity])/256) + 
   (1511*S[5, 3, Infinity])/1280, S[1, -4, 2, -1, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (151*S[2, Infinity]^4)/200 + 
   ((5*S[-1, Infinity]^2)/2 + (9*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 - (71*S[-1, Infinity]*S[2, Infinity])/64 + 
     (485*S[3, Infinity])/128)*S[5, Infinity] - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 12*S[2, Infinity]*
    S[-5, -1, Infinity] + (4480*S[-7, -1, Infinity] + 607*S[5, 3, Infinity] + 
     1024*S[-5, -1, 1, 1, Infinity])/256 + 
   S[1, Infinity]*((17*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     5*S[-1, Infinity]*S[3, Infinity]^2 + 
     ((31*S[-1, Infinity]^2)/4 + (169*S[2, Infinity])/32)*S[5, Infinity] - 
     (1065*S[7, Infinity])/256 + 4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     4*S[-5, 1, 1, Infinity] + S[3, Infinity]*(S[-1, Infinity]^4/6 - 
       S[-1, Infinity]^2*S[2, Infinity] - (159*S[2, Infinity]^2)/80 - 
       4*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    (S[-1, Infinity]^4/60 - (2*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[1, -4, 2, 1, Infinity] -> 
  (-36*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (10737*S[2, Infinity]^4)/
    15680 + ((-30*S[-1, Infinity]^2)/7 + (13*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 + 
     (227*S[-1, Infinity]*S[2, Infinity])/56 - (3665*S[3, Infinity])/448)*
    S[5, Infinity] - (4913*S[-1, Infinity]*S[7, Infinity])/448 + 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (138*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (36*S[2, Infinity]^2*S[3, Infinity])/35 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (129*S[2, Infinity]*S[5, Infinity])/28 + (12197*S[7, Infinity])/1792 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (4*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/7) + 
   (8*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 + 
   (-67328*S[-7, -1, Infinity] - 7449*S[5, 3, Infinity] - 
     2048*S[-5, -1, -1, -1, Infinity] - 12288*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/35 + 
     (48*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((4*S[-1, Infinity]^5)/35 - (8*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (761*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 4, -2, -1, Infinity] -> 
  (-99*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (25299*S[2, Infinity]^4)/392000 + ((-251*S[-1, Infinity]^2)/112 - 
     (123*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 - (83*S[-1, Infinity]*S[2, Infinity])/56 - 
     (275*S[3, Infinity])/896)*S[5, Infinity] + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (80*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-98080*S[-7, -1, Infinity] - 11121*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 16640*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(-S[-1, Infinity]^4/70 + 
     (12*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    ((-349*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-31*S[-1, Infinity]^2)/4 - (1231*S[2, Infinity])/224)*S[5, Infinity] + 
     (8847*S[7, Infinity])/1792 - (26*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (2*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + S[-1, Infinity]^2*
        S[2, Infinity] + (23*S[2, Infinity]^2)/14 + 
       4*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/210 - (13*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (2473*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (52*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 4, -2, 1, Infinity] -> 
  (33*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (202987*S[2, Infinity]^4)/
    392000 + ((55*S[-1, Infinity]^2)/14 - (393*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 - 
     (225*S[-1, Infinity]*S[2, Infinity])/56 + (16859*S[3, Infinity])/1792)*
    S[5, Infinity] + (13017*S[-1, Infinity]*S[7, Infinity])/896 - 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (130*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/4 + 
     (523*S[2, Infinity]^2*S[3, Infinity])/1120 - 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (1367*S[2, Infinity]*S[5, Infinity])/224 - (17187*S[7, Infinity])/1792 - 
     (10*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7) - 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]))/
    7 + (334720*S[-7, -1, Infinity] + 44629*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] + 56320*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/210 - 
     (44*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/105 + (22*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (1443*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 4, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (11531*S[2, Infinity]^4)/39200 + ((11*S[-1, Infinity]^2)/14 - 
     (44*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 + (305*S[-1, Infinity]*S[2, Infinity])/56 + 
     (10953*S[3, Infinity])/896)*S[5, Infinity] + 
   (60405*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/840 - 
     (149*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (130*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (100096*S[-7, -1, Infinity] + 15629*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 11264*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[1, Infinity]*((601*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((31*S[-1, Infinity]^2)/4 + (6969*S[2, Infinity])/448)*S[5, Infinity] - 
     (47525*S[7, Infinity])/1792 - (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (1749*S[2, Infinity]^2)/560 + 
       3*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((157*S[-1, Infinity]^5)/840 - (59*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1333*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 4, 2, 1, Infinity] -> 
  (109*S[2, Infinity]^4)/1000 + S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*(S[2, Infinity]^2*S[3, Infinity] - 
     (11*S[2, Infinity]*S[5, Infinity])/2 + (115*S[7, Infinity])/16) - 
   (21*S[5, 3, Infinity])/10, S[1, -4, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/144 + (7*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (178469*S[2, Infinity]^4)/42000 + 
   ((157*S[-1, Infinity]^2)/28 - (407*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/2 + (27*S[-1, Infinity]*S[2, Infinity])/28 + 
     (12523*S[3, Infinity])/256)*S[5, Infinity] + 
   (29131*S[-1, Infinity]*S[7, Infinity])/896 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*(-S[-1, Infinity]^4/120 - 
     (29*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (165*S[-5, -1, Infinity])/4 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (114560*S[-7, -1, Infinity] + 21859*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 17920*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((142*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (531*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/2 + (471*S[2, Infinity])/14)*S[5, Infinity] - 
     (6141*S[7, Infinity])/112 - (20*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (4*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (4231*S[2, Infinity]^2)/
        1120 + 3*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/120 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1223*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     28*S[-1, 1, 1, 1, 1, Infinity]), S[1, -4, -1, 2, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (163069*S[2, Infinity]^4)/
    168000 - (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/8 + 
   (17*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (609*S[3, Infinity]*S[5, Infinity])/64 + 
   (5*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-340*S[-7, -1, Infinity] - 101*S[5, 3, Infinity])/80 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/60 - (2*S[-1, 1, 1, 1, Infinity])/5) + 
   S[1, Infinity]*((103*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (10*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     (1181*S[2, Infinity]*S[5, Infinity])/112 - (19997*S[7, Infinity])/896 - 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (8*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + S[-1, Infinity]^2*
        S[2, Infinity] + (869*S[2, Infinity]^2)/280 + 
       4*S[-1, 1, 1, 1, Infinity])), S[1, -4, 1, -2, Infinity] -> 
  (439*S[2, Infinity]^4)/168000 + (7*S[2, Infinity]*S[3, Infinity]^2)/16 - 
   (261*S[3, Infinity]*S[5, Infinity])/256 + 
   S[1, Infinity]*((-37*S[2, Infinity]^2*S[3, Infinity])/160 + 
     (75*S[2, Infinity]*S[5, Infinity])/32 - (147*S[7, Infinity])/64) + 
   (339*S[5, 3, Infinity])/1280, S[1, -4, 1, 2, Infinity] -> 
  (-6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (267329*S[2, Infinity]^4)/
    588000 + ((-5*S[-1, Infinity]^2)/7 - (6*S[2, Infinity])/7)*
    S[3, Infinity]^2 + ((S[-1, Infinity]*S[2, Infinity])/14 - 
     (759*S[3, Infinity])/448)*S[5, Infinity] + 
   (5493*S[-1, Infinity]*S[7, Infinity])/896 + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (16*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/5 + 
     (31*S[2, Infinity]^2*S[3, Infinity])/56 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     (1413*S[2, Infinity]*S[5, Infinity])/448 - (7551*S[7, Infinity])/896 - 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (8*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (-8320*S[-7, -1, Infinity] + 4583*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(-S[-1, Infinity]^4/105 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/105 - (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 4, -1, -2, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (9041*S[2, Infinity]^4)/84000 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/8 - 
   (11*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/16 + (229*S[3, Infinity])/128)*
    S[5, Infinity] - (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (680*S[-7, -1, Infinity] - 151*S[5, 3, Infinity])/160 + 
   S[1, Infinity]*((-103*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (10*S[-1, Infinity]*S[3, Infinity]^2)/7 - 
     (2397*S[2, Infinity]*S[5, Infinity])/224 + (17659*S[7, Infinity])/896 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (8*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] - 
       (355*S[2, Infinity]^2)/224 - 4*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/60 + (2*S[-1, 1, 1, 1, Infinity])/5), 
 S[1, 4, -1, 2, Infinity] -> S[-1, Infinity]^8/144 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (105437*S[2, Infinity]^4)/
    33600 + ((-157*S[-1, Infinity]^2)/28 + (1407*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (433*S[-1, Infinity]*S[2, Infinity])/224 - (2645*S[3, Infinity])/64)*
    S[5, Infinity] - (4197*S[-1, Infinity]*S[7, Infinity])/112 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((-142*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (531*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/2 - (15037*S[2, Infinity])/448)*
      S[5, Infinity] + (51235*S[7, Infinity])/896 + 
     (20*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (4*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (1157*S[2, Infinity]^2)/224 - 
       3*S[-1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/120 + (29*S[-1, 1, 1, 1, Infinity])/
      5) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + (163*S[-5, -1, Infinity])/
      4 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-23552*S[-7, -1, Infinity] - 4005*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 3584*S[-5, -1, 1, 1, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/120 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (1223*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     28*S[-1, 1, 1, 1, 1, Infinity]), S[1, 4, 1, -2, Infinity] -> 
  (6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (198053*S[2, Infinity]^4)/
    147000 + ((5*S[-1, Infinity]^2)/7 + (145*S[2, Infinity])/112)*
    S[3, Infinity]^2 + (-(S[-1, Infinity]*S[2, Infinity])/14 - 
     (13197*S[3, Infinity])/1792)*S[5, Infinity] + 
   (3397*S[-1, Infinity]*S[7, Infinity])/896 - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (16*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/5 + 
     (227*S[2, Infinity]^2*S[3, Infinity])/1120 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (689*S[2, Infinity]*S[5, Infinity])/224 + (3435*S[7, Infinity])/896 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (8*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (53120*S[-7, -1, Infinity] - 12451*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/105 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/105 + (4*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 4, 1, 2, Infinity] -> 
  (-6107*S[2, Infinity]^4)/4200 - (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   10*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((-7*S[2, Infinity]^2*S[3, Infinity])/10 - 
     (5*S[2, Infinity]*S[5, Infinity])/2 + (61*S[7, Infinity])/8) + 
   (3*S[5, 3, Infinity])/2, S[1, -3, -3, -1, Infinity] -> 
  (243*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + (759081*S[2, Infinity]^4)/
    392000 + ((89*S[-1, Infinity]^2)/14 - (621*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/8 + 
     (5375*S[-1, Infinity]*S[2, Infinity])/224 + (15549*S[3, Infinity])/896)*
    S[5, Infinity] + (12811*S[-1, Infinity]*S[7, Infinity])/448 - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (171*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((807*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (69*S[2, Infinity]^2*S[3, Infinity])/35 - 
     (117*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((93*S[-1, Infinity]^2)/8 + (9269*S[2, Infinity])/448)*S[5, Infinity] - 
     (28723*S[7, Infinity])/896 - (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (12*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7) - 
   (2*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + (744960*S[-7, -1, Infinity] + 127193*S[5, 3, Infinity] + 
     92160*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((181*S[-1, Infinity]^4)/3360 - 
     (181*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-461*S[-1, Infinity]^5)/1680 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1863*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -3, -3, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (19679*S[2, Infinity]^4)/28000 + ((-49*S[-1, Infinity]^2)/32 - 
     (49*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   (1085*S[3, Infinity]*S[5, Infinity])/128 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/240 - 
     (7*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/48 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-907*S[5, 3, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     (11*S[2, Infinity]*S[5, Infinity])/16 - (443*S[7, Infinity])/128 - 
     2*S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (43*S[2, Infinity]^2)/20 + 
       (7*S[-1, 1, 1, 1, Infinity])/2)), S[1, -3, 3, -1, Infinity] -> 
  S[-1, Infinity]^8/288 - (103*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (235703*S[2, Infinity]^4)/196000 + 
   ((-81*S[-1, Infinity]^2)/224 + (863*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (4089*S[-1, Infinity]*S[2, Infinity])/224 + (445*S[3, Infinity])/896)*
    S[5, Infinity] + (40*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((-639*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (69*S[2, Infinity]^2*S[3, Infinity])/70 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-93*S[-1, Infinity]^2)/8 - (3243*S[2, Infinity])/224)*S[5, Infinity] + 
     (10231*S[7, Infinity])/448 - (18*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (6*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/840 + 
     (46*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 + (50*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2220*S[-7, -1, Infinity] - 501*S[5, 3, Infinity] - 
     380*S[-5, -1, -1, -1, Infinity] - 40*S[-5, -1, 1, 1, Infinity] + 
     140*S[-1, 1, 1, 1, Infinity]^2)/70 + S[3, Infinity]*
    (S[-1, Infinity]^5/105 - (2*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (6089*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -3, 3, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 + (13*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (1879*S[2, Infinity]^4)/6125 + ((517*S[-1, Infinity]^2)/224 - 
     (1835*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (163*S[-1, Infinity]*S[2, Infinity])/28 + 
     (1363*S[3, Infinity])/224)*S[5, Infinity] + 
   (37207*S[-1, Infinity]*S[7, Infinity])/896 - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((17*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (367*S[2, Infinity]^2*S[3, Infinity])/280 - 
     (153*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (1219*S[2, Infinity]*S[5, Infinity])/112 - (16745*S[7, Infinity])/896 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (25*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity])/7) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*(S[-1, Infinity]^4/56 - 
     (24*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (149*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (243840*S[-7, -1, Infinity] + 38179*S[5, 3, Infinity] + 
     26240*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/1680 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (937*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (86*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, -3, -1, Infinity] -> 
  (269*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (10009*S[2, Infinity]^4)/78400 + ((347*S[-1, Infinity]^2)/224 - 
     (261*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (921*S[-1, Infinity]*S[2, Infinity])/112 + 
     (6733*S[3, Infinity])/1792)*S[5, Infinity] - 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (92*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((58*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (61*S[2, Infinity]^2*S[3, Infinity])/140 - 
     (125*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((93*S[-1, Infinity]^2)/8 + (2865*S[2, Infinity])/224)*S[5, Infinity] - 
     (16745*S[7, Infinity])/896 + (25*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (25*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity])/7) + 
   (52352*S[-7, -1, Infinity] + 9341*S[5, 3, Infinity] + 
     4352*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/168 - 
     (5*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-5*S[-1, Infinity]^5)/84 + (25*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (935*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, -3, 1, Infinity] -> 
  S[-1, Infinity]^8/288 - (139*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (26167*S[2, Infinity]^4)/98000 + ((-517*S[-1, Infinity]^2)/224 + 
     (1089*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (163*S[-1, Infinity]*S[2, Infinity])/28 - 
     (10009*S[3, Infinity])/896)*S[5, Infinity] - 
   (37207*S[-1, Infinity]*S[7, Infinity])/896 + 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((-3*S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (235*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (3019*S[2, Infinity]*S[5, Infinity])/224 + (10231*S[7, Infinity])/448 + 
     (24*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (6*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 - (701*S[2, Infinity]^2)/224 - 
       (7*S[-1, 1, 1, 1, Infinity])/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/336 + (41*S[-1, 1, 1, 1, Infinity])/
      14) + S[2, Infinity]*(-S[-1, Infinity]^6/24 + 
     (149*S[-5, -1, Infinity])/7 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-60960*S[-7, -1, Infinity] - 
     10607*S[5, 3, Infinity] - 6560*S[-5, -1, -1, -1, Infinity] - 
     6880*S[-5, -1, 1, 1, Infinity] + 2240*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/1680 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1035*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (86*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, 3, -1, Infinity] -> 
  (-97*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (319341*S[2, Infinity]^4)/
    392000 + ((-1067*S[-1, Infinity]^2)/224 + (4681*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/8 - 
     (789*S[-1, Infinity]*S[2, Infinity])/56 - (9633*S[3, Infinity])/448)*
    S[5, Infinity] - (35457*S[-1, Infinity]*S[7, Infinity])/896 + 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (185*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((-681*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (1963*S[2, Infinity]^2*S[3, Infinity])/1120 + 
     (1279*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-93*S[-1, Infinity]^2)/8 - (9549*S[2, Infinity])/448)*S[5, Infinity] + 
     (29745*S[7, Infinity])/896 + (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (12*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7) + 
   (12*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (-709120*S[-7, -1, Infinity] - 119983*S[5, 3, Infinity] - 
     83200*S[-5, -1, -1, -1, Infinity] - 78080*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/840 + 
     (61*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((61*S[-1, Infinity]^5)/420 - (61*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (10963*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (122*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, 3, 1, Infinity] -> 
  (-3011*S[2, Infinity]^4)/7000 + S[1, Infinity]*
    ((9*S[2, Infinity]*S[5, Infinity])/2 - (51*S[7, Infinity])/8) + 
   (27*S[5, 3, Infinity])/10, S[1, -3, -2, -2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (143*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (3343439*S[2, Infinity]^4)/1176000 + 
   ((-443*S[-1, Infinity]^2)/112 + (433*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]*S[2, Infinity])/56 - 
     (35841*S[3, Infinity])/1792)*S[5, Infinity] + 
   (3053*S[-1, Infinity]*S[7, Infinity])/112 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((-9*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (747*S[2, Infinity]^2*S[3, Infinity])/1120 + 
     (81*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (1447*S[2, Infinity]*S[5, Infinity])/224 + (15685*S[7, Infinity])/1792 + 
     (18*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (18*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/224 - 
     (111*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (20*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (78080*S[-7, -1, Infinity] - 10331*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/168 - 
     (167*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (991*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -3, -2, 2, Infinity] -> 
  S[-1, Infinity]^8/144 + (6*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (2167*S[2, Infinity]^4)/16800 + ((49*S[-1, Infinity]^2)/16 + 
     (17*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (1775*S[3, Infinity]*S[5, Infinity])/256 + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/10 - 
     5*S[-1, Infinity]*S[3, Infinity]^2 - (223*S[2, Infinity]*S[5, Infinity])/
      16 + (9219*S[7, Infinity])/256 + 4*S[-1, Infinity]*
      S[-5, -1, Infinity] + 4*(S[-5, 1, 1, Infinity] + 
       S[5, -1, -1, Infinity]) + S[3, Infinity]*((7*S[-1, Infinity]^4)/24 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 - (47*S[2, Infinity]^2)/8 - 
       7*S[-1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/20 + (24*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*((-7*S[-1, Infinity]^5)/24 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/5 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (243*S[5, 3, Infinity] + 1024*S[-1, 1, 1, 1, Infinity]^2)/256, 
 S[1, -3, 2, -2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (104129*S[2, Infinity]^4)/
    84000 + ((-49*S[-1, Infinity]^2)/16 - (267*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]*S[2, Infinity])/32 + 
     (1801*S[3, Infinity])/128)*S[5, Infinity] + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/96 - 
     (11*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/24 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (77*S[-1, Infinity]*S[2, Infinity]^2)/32 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^6/12 + 
     (5*S[-5, -1, Infinity])/2 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-213*S[5, 3, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/10 + 
     5*S[-1, Infinity]*S[3, Infinity]^2 + (151*S[2, Infinity]*S[5, Infinity])/
      32 - (3799*S[7, Infinity])/256 - 4*S[-1, Infinity]*
      S[-5, -1, Infinity] - 4*(S[-5, 1, 1, Infinity] + 
       S[5, -1, -1, Infinity]) + S[3, Infinity]*((-7*S[-1, Infinity]^4)/24 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (753*S[2, Infinity]^2)/160 + 
       7*S[-1, 1, 1, 1, Infinity])), S[1, -3, 2, 2, Infinity] -> 
  S[-1, Infinity]^8/144 + (813*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (327931*S[2, Infinity]^4)/294000 + 
   ((723*S[-1, Infinity]^2)/112 + (3613*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1237*S[-1, Infinity]*S[2, Infinity])/448 + 
     (3119*S[3, Infinity])/896)*S[5, Infinity] - 
   (21869*S[-1, Infinity]*S[7, Infinity])/896 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (38*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/4 - 
     (155*S[2, Infinity]^2*S[3, Infinity])/224 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (2041*S[2, Infinity]*S[5, Infinity])/448 + (17145*S[7, Infinity])/1792 + 
     (10*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (10*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((127*S[-1, Infinity]^4)/672 + 
     (41*S[-1, 1, 1, 1, Infinity])/28) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (339*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (60800*S[-7, -1, Infinity] - 16689*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-107*S[-1, Infinity]^5)/280 + 
     (223*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (5501*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (76*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, -2, -2, Infinity] -> 
  (-3253*S[2, Infinity]^4)/6720 + (23*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/32 - (41*S[3, Infinity])/64)*
    S[5, Infinity] + S[1, Infinity]*((-13*S[2, Infinity]^2*S[3, Infinity])/
      80 + (85*S[2, Infinity]*S[5, Infinity])/32 - (719*S[7, Infinity])/
      256) - (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (345*S[5, 3, Infinity])/256, S[1, 3, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (173*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (87637*S[2, Infinity]^4)/235200 + ((-523*S[-1, Infinity]^2)/112 - 
     (899*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((723*S[-1, Infinity]*S[2, Infinity])/448 - (685*S[3, Infinity])/224)*
    S[5, Infinity] + (12137*S[-1, Infinity]*S[7, Infinity])/896 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-109*S[-1, Infinity]^4)/840 - 
     (101*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (165*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-3968*S[-7, -1, Infinity] + 1327*S[5, 3, Infinity] + 
     4608*S[-5, -1, -1, -1, Infinity] - 4608*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[1, Infinity]*((9*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (605*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (2789*S[2, Infinity]*S[5, Infinity])/448 - (29307*S[7, Infinity])/1792 - 
     (18*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (18*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/24 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (137*S[2, Infinity]^2)/35 + 
       7*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((281*S[-1, Infinity]^5)/840 - (61*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (2377*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, 2, -2, Infinity] -> 
  S[-1, Infinity]^8/144 + (89*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (446177*S[2, Infinity]^4)/235200 + 
   ((243*S[-1, Infinity]^2)/112 - (541*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]*S[2, Infinity])/56 + 
     (6669*S[3, Infinity])/448)*S[5, Infinity] - 
   (26717*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/4 - 
     (731*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (121*S[2, Infinity]*S[5, Infinity])/28 - (5875*S[7, Infinity])/1792 - 
     (10*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (10*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/24 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 - (507*S[2, Infinity]^2)/112 - 
       7*S[-1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((27*S[-1, Infinity]^4)/280 + 
     (129*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + (20*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2808*S[-7, -1, Infinity] + 423*S[5, 3, Infinity] + 
     320*S[-5, -1, -1, -1, Infinity] - 320*S[-5, -1, 1, 1, Infinity] + 
     896*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*((-15*S[-1, Infinity]^5)/56 + 
     (127*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1271*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, 2, 2, Infinity] -> 
  (42787*S[2, Infinity]^4)/21000 + 3*S[2, Infinity]*S[3, Infinity]^2 - 
   (33*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((21*S[2, Infinity]^2*S[3, Infinity])/10 + 
     (15*S[2, Infinity]*S[5, Infinity])/2 - (291*S[7, Infinity])/16) - 
   (9*S[5, 3, Infinity])/5, S[1, -3, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/288 - (83*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (552551*S[2, Infinity]^4)/196000 + 
   ((-1595*S[-1, Infinity]^2)/224 + (4709*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/4 - 
     (1987*S[-1, Infinity]*S[2, Infinity])/112 - (54051*S[3, Infinity])/896)*
    S[5, Infinity] - (46939*S[-1, Infinity]*S[7, Infinity])/896 + 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-65*S[-5, 1, 1, Infinity] + 103*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((-186*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (117*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-93*S[-1, Infinity]^2)/4 - (1149*S[2, Infinity])/28)*S[5, Infinity] + 
     (28233*S[7, Infinity])/448 + (12*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (24*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (123*S[2, Infinity]^2)/28 - 
       (3*S[-1, 1, 1, 1, Infinity])/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/560 + 
     (321*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 + (719*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-603840*S[-7, -1, Infinity] - 122517*S[5, 3, Infinity] - 
     92160*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/105 - 
     (51*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (4185*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (453*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, -3, -1, 3, Infinity] -> 
  (3991*S[2, Infinity]^4)/7000 + ((-15*S[-1, Infinity]^2)/16 - 
     (15*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   (6*S[-1, Infinity]*S[2, Infinity] + (37*S[3, Infinity])/256)*
    S[5, Infinity] - S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   S[2, Infinity]*S[-5, -1, Infinity] + 
   (11520*S[-7, -1, Infinity] + 629*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(-S[-1, Infinity]^4/120 + 
     S[-1, 1, 1, 1, Infinity]/5) + S[1, Infinity]*
    ((7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 - 
     (27*S[2, Infinity]*S[5, Infinity])/4 + (1361*S[7, Infinity])/128 - 
     S[-1, Infinity]*S[-5, -1, Infinity] - S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (23*S[2, Infinity]^2)/20 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, -3, 1, -3, Infinity] -> 
  -S[-1, Infinity]^8/288 + (11*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (1543*S[2, Infinity]^4)/5600 + ((7*S[-1, Infinity]^2)/32 + 
     (21*S[2, Infinity])/32)*S[3, Infinity]^2 - 
   (39*S[3, Infinity]*S[5, Infinity])/16 + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/10 - 
     (59*S[-1, Infinity]*S[3, Infinity]^2)/16 - 
     (47*S[2, Infinity]*S[5, Infinity])/4 + (3667*S[7, Infinity])/128 + 
     4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     4*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/48 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 - (167*S[2, Infinity]^2)/40 - 
       (11*S[-1, 1, 1, 1, Infinity])/2)) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   2*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]^2*
    ((-41*S[-1, Infinity]^4)/240 + (11*S[-1, 1, 1, 1, Infinity])/10) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*(S[-1, Infinity]^5/80 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (77*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[1, -3, 1, 3, Infinity] -> 
  -S[-1, Infinity]^8/288 - (8*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (129891*S[2, Infinity]^4)/56000 + 
   ((-191*S[-1, Infinity]^2)/32 - (53*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((5*S[-1, Infinity]*S[2, Infinity])/16 - (1421*S[3, Infinity])/128)*
    S[5, Infinity] + (4973*S[-1, Infinity]*S[7, Infinity])/128 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/40 - (12*S[-1, 1, 1, 1, Infinity])/
      5) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 10*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (640*S[-7, -1, Infinity] + 697*S[5, 3, Infinity] + 
     1600*S[-5, -1, -1, -1, Infinity] - 1600*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (33*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     (125*S[2, Infinity]*S[5, Infinity])/32 - (653*S[7, Infinity])/64 - 
     S[-1, Infinity]*S[-5, -1, Infinity] - S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (213*S[2, Infinity]^2)/160 + 
       (3*S[-1, 1, 1, 1, Infinity])/2)) + S[3, Infinity]*
    ((79*S[-1, Infinity]^5)/240 - (53*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (871*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     7*S[-1, 1, 1, 1, 1, Infinity]), S[1, 3, -1, -3, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (59159*S[2, Infinity]^4)/56000 + 
   ((15*S[-1, Infinity]^2)/16 + (53*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (-6*S[-1, Infinity]*S[2, Infinity] + (521*S[3, Infinity])/256)*
    S[5, Infinity] + S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]*S[-5, -1, Infinity] + S[1, Infinity]*
    ((7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (37*S[2, Infinity]^2*S[3, Infinity])/32 - 
     (S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (101*S[2, Infinity]*S[5, Infinity])/8 - (771*S[7, Infinity])/32 - 
     S[-1, Infinity]*S[-5, -1, Infinity] - S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity]) + (-11520*S[-7, -1, Infinity] - 
     187*S[5, 3, Infinity] - 2560*S[-5, -1, -1, -1, Infinity] + 
     2560*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/60 - (2*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/
      6 - (7*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 3, -1, 3, Infinity] -> 
  (1019*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2715919*S[2, Infinity]^4)/784000 + 
   ((1109*S[-1, Infinity]^2)/112 - (18521*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/4 + 
     (1973*S[-1, Infinity]*S[2, Infinity])/112 + (117447*S[3, Infinity])/
      1792)*S[5, Infinity] + (34437*S[-1, Infinity]*S[7, Infinity])/896 - 
   (102*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (775*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((186*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (169*S[2, Infinity]^2*S[3, Infinity])/56 - 
     (1083*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((93*S[-1, Infinity]^2)/4 + (1149*S[2, Infinity])/28)*S[5, Infinity] - 
     (56025*S[7, Infinity])/896 - (12*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (24*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7) - 
   (S[-1, Infinity]*(79*S[-5, 1, 1, Infinity] - 89*S[5, -1, -1, Infinity]))/
    7 + (301920*S[-7, -1, Infinity] + 59771*S[5, 3, Infinity] + 
     41600*S[-5, -1, -1, -1, Infinity] + 39040*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/420 - 
     (122*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-509*S[-1, Infinity]^5)/1680 + (509*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (23501*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (509*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 3, 1, -3, Infinity] -> 
  -S[-1, Infinity]^8/288 - (23*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (2663*S[2, Infinity]^4)/56000 + ((-69*S[-1, Infinity]^2)/32 - 
     (41*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((S[-1, Infinity]*S[2, Infinity])/16 - (27*S[3, Infinity])/32)*
    S[5, Infinity] + (639*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/16 - (3*S[-1, 1, 1, 1, Infinity])/
      2) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 2*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-640*S[-7, -1, Infinity] + 323*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (89*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     (63*S[2, Infinity]*S[5, Infinity])/32 - (671*S[7, Infinity])/128 - 
     S[-1, Infinity]*S[-5, -1, Infinity] - S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity] + S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (231*S[2, Infinity]^2)/160 + 
       (7*S[-1, 1, 1, 1, Infinity])/2)) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/80 - (25*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (317*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 3, 1, 3, Infinity] -> 
  (13*S[2, Infinity]^4)/1400 - (S[3, Infinity]*S[5, Infinity])/2 + 
   S[1, Infinity]*((S[2, Infinity]^2*S[3, Infinity])/2 - S[7, Infinity]/4), 
 S[1, -2, -4, -1, Infinity] -> (-143*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (916061*S[2, Infinity]^4)/784000 + 
   ((-45*S[-1, Infinity]^2)/16 + (3417*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (341*S[-1, Infinity]*S[2, Infinity])/32 - (10933*S[3, Infinity])/896)*
    S[5, Infinity] - (28869*S[-1, Infinity]*S[7, Infinity])/896 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (114*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((-13*S[-1, Infinity]*S[2, Infinity]^3)/7 - 
     (1727*S[2, Infinity]^2*S[3, Infinity])/1120 + 
     (243*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/4 - (907*S[2, Infinity])/56)*S[5, Infinity] + 
     (48393*S[7, Infinity])/1792 + (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7) + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-248320*S[-7, -1, Infinity] - 42827*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/70 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 - (6*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (1063*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -4, 1, Infinity] -> 
  (4301*S[2, Infinity]^4)/14000 + (5*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (125*S[3, Infinity]*S[5, Infinity])/32 + 
   S[1, Infinity]*((17*S[2, Infinity]^2*S[3, Infinity])/40 + 
     (177*S[2, Infinity]*S[5, Infinity])/64 - (1335*S[7, Infinity])/256) + 
   (1557*S[5, 3, Infinity])/1280, S[1, -2, 4, -1, Infinity] -> 
  (89*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (42383*S[2, Infinity]^4)/
    392000 + ((135*S[-1, Infinity]^2)/112 - (219*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (1499*S[-1, Infinity]*S[2, Infinity])/224 + (4381*S[3, Infinity])/1792)*
    S[5, Infinity] - (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (64*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((81*S[-1, Infinity]*S[2, Infinity]^3)/70 + 
     (481*S[2, Infinity]^2*S[3, Infinity])/1120 - 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((31*S[-1, Infinity]^2)/4 + (1479*S[2, Infinity])/224)*S[5, Infinity] - 
     (17187*S[7, Infinity])/1792 + (18*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7) + 
   (199040*S[-7, -1, Infinity] + 31529*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/140 - 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/70 + (3*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (3723*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, 4, 1, Infinity] -> 
  (-33*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (93559*S[2, Infinity]^4)/
    196000 + ((-55*S[-1, Infinity]^2)/14 + (309*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 + 
     (225*S[-1, Infinity]*S[2, Infinity])/56 - (15459*S[3, Infinity])/1792)*
    S[5, Infinity] - (13017*S[-1, Infinity]*S[7, Infinity])/896 + 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (130*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (107*S[2, Infinity]^2*S[3, Infinity])/280 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (271*S[2, Infinity]*S[5, Infinity])/56 + (8847*S[7, Infinity])/1792 + 
     (2*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7) + 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]))/
    7 + (-334720*S[-7, -1, Infinity] - 43621*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/210 + 
     (44*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/105 - (22*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (1443*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -4, -1, Infinity] -> 
  (-22*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (3811*S[2, Infinity]^4)/
    392000 + ((-41*S[-1, Infinity]^2)/28 + (45*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (437*S[-1, Infinity]*S[2, Infinity])/56 - (505*S[3, Infinity])/112)*
    S[5, Infinity] + (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (68*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((-661*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (139*S[2, Infinity]^2*S[3, Infinity])/280 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-31*S[-1, Infinity]^2)/4 - (103*S[2, Infinity])/14)*S[5, Infinity] + 
     (12197*S[7, Infinity])/1792 - (20*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (4*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/7) + 
   (-60080*S[-7, -1, Infinity] - 10223*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*(-S[-1, Infinity]^4/42 + 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (S[-1, Infinity]^5/21 - (10*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (125*S[-1, Infinity]*S[2, Infinity]^2)/28 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -4, 1, Infinity] -> 
  (36*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (19573*S[2, Infinity]^4)/
    98000 + ((30*S[-1, Infinity]^2)/7 - (3*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 - 
     (227*S[-1, Infinity]*S[2, Infinity])/56 + (1901*S[3, Infinity])/448)*
    S[5, Infinity] + (4913*S[-1, Infinity]*S[7, Infinity])/448 - 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (138*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((53*S[2, Infinity]^2*S[3, Infinity])/40 + 
     (79*S[2, Infinity]*S[5, Infinity])/64 - (1065*S[7, Infinity])/256 + 
     4*S[-5, 1, 1, Infinity]) - 
   (8*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 + 
   (336640*S[-7, -1, Infinity] + 30161*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 61440*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((2*S[-1, Infinity]^4)/35 - 
     (48*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-4*S[-1, Infinity]^5)/35 + (8*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (761*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 4, -1, Infinity] -> 
  (71*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (575913*S[2, Infinity]^4)/
    392000 + ((43*S[-1, Infinity]^2)/14 - (1783*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (659*S[-1, Infinity]*S[2, Infinity])/56 + (21085*S[3, Infinity])/1792)*
    S[5, Infinity] + (60405*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (118*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((871*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (943*S[2, Infinity]^2*S[3, Infinity])/1120 - 
     (535*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/4 + (3985*S[2, Infinity])/224)*S[5, Infinity] - 
     (47525*S[7, Infinity])/1792 - (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7) - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (544640*S[-7, -1, Infinity] + 92679*S[5, 3, Infinity] + 
     58880*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((19*S[-1, Infinity]^4)/420 - 
     (38*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/210 + (19*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (4359*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (76*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 4, 1, Infinity] -> 
  (-11939*S[2, Infinity]^4)/7000 - 2*S[2, Infinity]*S[3, Infinity]^2 + 
   (25*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((-17*S[2, Infinity]^2*S[3, Infinity])/10 + (115*S[7, Infinity])/16) + 
   (3*S[5, 3, Infinity])/10, S[1, -2, -3, -2, Infinity] -> 
  (-27*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (1987717*S[2, Infinity]^4)/
    2352000 + ((-45*S[-1, Infinity]^2)/14 - (4345*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((9*S[-1, Infinity]*S[2, Infinity])/28 + 
     (3399*S[3, Infinity])/448)*S[5, Infinity] + 
   (10939*S[-1, Infinity]*S[7, Infinity])/896 + 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (72*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (36*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((9*S[-1, Infinity]*S[2, Infinity]^3)/10 + 
     (81*S[2, Infinity]^2*S[3, Infinity])/140 - 
     (81*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (2803*S[2, Infinity]*S[5, Infinity])/224 - (11493*S[7, Infinity])/448 - 
     (36*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (36*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (-53440*S[-7, -1, Infinity] + 17807*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/70 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 - (6*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (711*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -3, 2, Infinity] -> 
  (6089*S[2, Infinity]^4)/5250 + (59*S[2, Infinity]*S[3, Infinity]^2)/64 - 
   (1019*S[3, Infinity]*S[5, Infinity])/128 + 
   S[1, Infinity]*((317*S[2, Infinity]^2*S[3, Infinity])/160 + 
     (299*S[2, Infinity]*S[5, Infinity])/64 - (1721*S[7, Infinity])/128) - 
   (787*S[5, 3, Infinity])/1280, S[1, -2, 3, -2, Infinity] -> 
  (-104887*S[2, Infinity]^4)/336000 + (105*S[2, Infinity]*S[3, Infinity]^2)/
    64 + ((-155*S[-1, Infinity]*S[2, Infinity])/32 - 
     (415*S[3, Infinity])/128)*S[5, Infinity] + 
   S[1, Infinity]*((51*S[2, Infinity]*S[5, Infinity])/64 - 
     (35*S[7, Infinity])/64) - (5*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (567*S[5, 3, Infinity])/640, S[1, -2, 3, 2, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (376759*S[2, Infinity]^4)/
    336000 + ((5*S[-1, Infinity]^2)/2 + (363*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((139*S[-1, Infinity]*S[2, Infinity])/64 + 
     (1153*S[3, Infinity])/256)*S[5, Infinity] - 
   (1659*S[-1, Infinity]*S[7, Infinity])/64 - 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - (27*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/10 - 
     (31*S[2, Infinity]^2*S[3, Infinity])/16 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/8 - 
     (701*S[2, Infinity]*S[5, Infinity])/64 + (203*S[7, Infinity])/8 + 
     4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     4*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity])) + 
   (640*S[-7, -1, Infinity] - 2221*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (4*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, -3, -2, Infinity] -> 
  (-331259*S[2, Infinity]^4)/168000 - (347*S[2, Infinity]*S[3, Infinity]^2)/
    64 + ((217*S[-1, Infinity]*S[2, Infinity])/32 + 
     (2707*S[3, Infinity])/128)*S[5, Infinity] + 
   S[1, Infinity]*((-317*S[2, Infinity]^2*S[3, Infinity])/160 + 
     (11*S[2, Infinity]*S[5, Infinity])/32 + (473*S[7, Infinity])/64) + 
   (7*S[2, Infinity]*S[-5, -1, Infinity])/2 + (2681*S[5, 3, Infinity])/1280, 
 S[1, 2, -3, 2, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + 
   (564467*S[2, Infinity]^4)/588000 + 
   ((-25*S[-1, Infinity]^2)/14 - (2347*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1439*S[-1, Infinity]*S[2, Infinity])/448 - 
     (5049*S[3, Infinity])/1792)*S[5, Infinity] + 
   (23067*S[-1, Infinity]*S[7, Infinity])/896 + 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (111*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (20*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/2 + 
     (9*S[2, Infinity]^2*S[3, Infinity])/28 - 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (1957*S[2, Infinity]*S[5, Infinity])/224 - (16445*S[7, Infinity])/896 - 
     (20*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (20*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (26240*S[-7, -1, Infinity] + 35359*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(-S[-1, Infinity]^4/42 + 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (S[-1, Infinity]^5/21 - (10*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 3, -2, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (341251*S[2, Infinity]^4)/
    168000 + ((5*S[-1, Infinity]^2)/2 + (73*S[2, Infinity])/16)*
    S[3, Infinity]^2 + (-(S[-1, Infinity]*S[2, Infinity])/4 - 
     (1647*S[3, Infinity])/128)*S[5, Infinity] - 
   (905*S[-1, Infinity]*S[7, Infinity])/128 - 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 8*S[2, Infinity]*S[-5, -1, Infinity] - 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/10 + 
     (83*S[2, Infinity]^2*S[3, Infinity])/80 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/8 - 
     (761*S[2, Infinity]*S[5, Infinity])/64 + (2105*S[7, Infinity])/128 + 
     4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     4*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity])) + 
   (13440*S[-7, -1, Infinity] - 5819*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(S[-1, Infinity]^4/30 - 
     (4*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (-S[-1, Infinity]^5/15 + (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, 3, 2, Infinity] -> 
  (15563*S[2, Infinity]^4)/21000 + 3*S[2, Infinity]*S[3, Infinity]^2 - 
   9*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((-9*S[2, Infinity]*S[5, Infinity])/2 + (75*S[7, Infinity])/8) - 
   (27*S[5, 3, Infinity])/10, S[1, -2, -2, -3, Infinity] -> 
  (27*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (214867*S[2, Infinity]^4)/
    392000 + ((45*S[-1, Infinity]^2)/28 + (509*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-9*S[-1, Infinity]*S[2, Infinity])/56 + 
     (1693*S[3, Infinity])/1792)*S[5, Infinity] - 
   (10359*S[-1, Infinity]*S[7, Infinity])/896 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (36*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((-9*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (417*S[2, Infinity]^2*S[3, Infinity])/280 + 
     (81*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (367*S[2, Infinity]*S[5, Infinity])/56 + (28523*S[7, Infinity])/1792 + 
     (18*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (18*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) - 
   (9*(-3200*S[-7, -1, Infinity] + 1669*S[5, 3, Infinity] + 
      2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity]))/
    8960 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/140 - 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/70 + (3*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (711*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -2, 3, Infinity] -> 
  (1733*S[2, Infinity]^4)/5600 + (5*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (97*S[3, Infinity]*S[5, Infinity])/64 + 
   S[1, Infinity]*((39*S[2, Infinity]^2*S[3, Infinity])/80 - 
     (191*S[2, Infinity]*S[5, Infinity])/64 + (1115*S[7, Infinity])/256) - 
   (163*S[5, 3, Infinity])/256, S[1, -2, 2, -3, Infinity] -> 
  S[-1, Infinity]^8/144 + (S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (12841*S[2, Infinity]^4)/14000 + ((21*S[-1, Infinity]^2)/16 + 
     (147*S[2, Infinity])/64)*S[3, Infinity]^2 - 
   (1019*S[3, Infinity]*S[5, Infinity])/128 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/30 + (2*S[-1, 1, 1, 1, Infinity])/
      5) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-543*S[5, 3, Infinity] + 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/10 + 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     (1243*S[2, Infinity]*S[5, Infinity])/64 - (10855*S[7, Infinity])/256 - 
     4*S[-1, Infinity]*S[-5, -1, Infinity] - 
     4*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + S[-1, Infinity]^2*
        S[2, Infinity] + (347*S[2, Infinity]^2)/80 + 
       4*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/120 + (13*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/20 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -2, 2, 3, Infinity] -> S[-1, Infinity]^8/144 + 
   (451*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (3793*S[2, Infinity]^4)/1225 + ((335*S[-1, Infinity]^2)/56 + 
     (33*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/56 + (33739*S[3, Infinity])/1792)*
    S[5, Infinity] - (37029*S[-1, Infinity]*S[7, Infinity])/896 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/4 - 
     (339*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (37*S[2, Infinity]*S[5, Infinity])/28 - (1927*S[7, Infinity])/1792 - 
     (10*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (10*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (1079*S[2, Infinity]^2)/560 - 
       3*S[-1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/1680 + 
     (307*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (36*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-21120*S[-7, -1, Infinity] - 767*S[5, 3, Infinity] - 
     4608*S[-5, -1, -1, -1, Infinity] + 4608*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/168 + 
     (75*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (389*S[-1, Infinity]*S[2, Infinity]^2)/70 + 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (15*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[1, 2, -2, -3, Infinity] -> -S[-1, Infinity]^8/144 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (85377*S[2, Infinity]^4)/56000 + 
   ((-21*S[-1, Infinity]^2)/16 + (77*S[2, Infinity])/32)*S[3, Infinity]^2 - 
   (3413*S[3, Infinity]*S[5, Infinity])/256 + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/10 - 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/8 - 
     (55*S[2, Infinity]*S[5, Infinity])/4 + (7497*S[7, Infinity])/256 + 
     4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     4*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] - 
       (81*S[2, Infinity]^2)/32 - 4*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/30 - (2*S[-1, 1, 1, 1, Infinity])/
      5) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-3569*S[5, 3, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/120 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/20 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 2, -2, 3, Infinity] -> -S[-1, Infinity]^8/144 - 
   (619*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (2261249*S[2, Infinity]^4)/784000 + 
   ((-475*S[-1, Infinity]^2)/56 - (1921*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]*S[2, Infinity])/56 - 
     (1557*S[3, Infinity])/112)*S[5, Infinity] + 
   (5865*S[-1, Infinity]*S[7, Infinity])/112 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (46*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-169*S[-1, Infinity]^4)/1680 - 
     (251*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (92*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (3680*S[-7, -1, Infinity] + 3947*S[5, 3, Infinity] + 
     7360*S[-5, -1, -1, -1, Infinity] - 7360*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[1, Infinity]*((9*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (213*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (4273*S[2, Infinity]*S[5, Infinity])/448 - (41361*S[7, Infinity])/1792 - 
     (18*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (18*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (145*S[2, Infinity]^2)/56 + 
       3*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((421*S[-1, Infinity]^5)/840 - (281*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (2109*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (71*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 2, -3, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + (204569*S[2, Infinity]^4)/
    196000 + ((25*S[-1, Infinity]^2)/28 + (149*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]*S[2, Infinity])/56 - 
     (6467*S[3, Infinity])/1792)*S[5, Infinity] + 
   (3603*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (20*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/4 - 
     (173*S[2, Infinity]^2*S[3, Infinity])/1120 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (2293*S[2, Infinity]*S[5, Infinity])/448 + (13981*S[7, Infinity])/1792 + 
     (10*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (10*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (1690*S[-7, -1, Infinity] - 233*S[5, 3, Infinity] - 
     400*S[-5, -1, -1, -1, Infinity] + 400*S[-5, -1, 1, 1, Infinity])/280 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/84 - (2*S[-1, 1, 1, 1, Infinity])/7) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/42 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 2, 3, Infinity] -> 
  (-3209*S[2, Infinity]^4)/1000 - 4*S[2, Infinity]*S[3, Infinity]^2 + 
   22*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((-7*S[2, Infinity]^2*S[3, Infinity])/5 - 2*S[2, Infinity]*
      S[5, Infinity] + (157*S[7, Infinity])/16) + (18*S[5, 3, Infinity])/5, 
 S[1, -2, -1, -4, Infinity] -> -S[-1, Infinity]^8/144 + 
   (477*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (3259411*S[2, Infinity]^4)/1176000 + 
   ((59*S[-1, Infinity]^2)/28 - (13369*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (223*S[-1, Infinity]*S[2, Infinity])/28 + (71051*S[3, Infinity])/1792)*
    S[5, Infinity] + (637*S[-1, Infinity]*S[7, Infinity])/16 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/1120 - 
     (831*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (467*S[-5, -1, Infinity])/14 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (786560*S[-7, -1, Infinity] + 164009*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] + 84480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((589*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (531*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/2 + (13315*S[2, Infinity])/448)*S[5, Infinity] - 
     (21477*S[7, Infinity])/448 - (20*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (4*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (1077*S[2, Infinity]^2)/280 + 
       3*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((113*S[-1, Infinity]^5)/840 - (5*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (999*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (132*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -1, 4, Infinity] -> 
  (2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (677*S[2, Infinity]^4)/33600 - 
   (53*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (541*S[3, Infinity]*S[5, Infinity])/128 + 5*S[2, Infinity]*
    S[-5, -1, Infinity] + 
   (15*(-96*S[-7, -1, Infinity] + 11*S[5, 3, Infinity]))/128 + 
   S[1, Infinity]*((-269*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (10*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     (1117*S[2, Infinity]*S[5, Infinity])/224 - (3641*S[7, Infinity])/448 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (8*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] - 
       (1593*S[2, Infinity]^2)/1120 - 4*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/15 + (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[1, -2, 1, -4, Infinity] -> (-1777*S[2, Infinity]^4)/24000 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/8 + (49*S[3, Infinity]*S[5, Infinity])/
    32 + S[1, Infinity]*((11*S[2, Infinity]^2*S[3, Infinity])/40 - 
     (179*S[2, Infinity]*S[5, Infinity])/64 + (147*S[7, Infinity])/32) - 
   (339*S[5, 3, Infinity])/1280, S[1, -2, 1, 4, Infinity] -> 
  (6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (121529*S[2, Infinity]^4)/
    1176000 + ((5*S[-1, Infinity]^2)/7 + (103*S[2, Infinity])/112)*
    S[3, Infinity]^2 + (-(S[-1, Infinity]*S[2, Infinity])/14 - 
     (2011*S[3, Infinity])/1792)*S[5, Infinity] - 
   (131*S[-1, Infinity]*S[7, Infinity])/112 - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (16*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (571*S[2, Infinity]^2*S[3, Infinity])/1120 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (591*S[2, Infinity]*S[5, Infinity])/224 + (1291*S[7, Infinity])/224 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (8*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (30720*S[-7, -1, Infinity] - 4821*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/105 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/105 + (4*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -1, -4, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (10483*S[2, Infinity]^4)/10500 + 
   (7*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (S[2, Infinity]*S[3, Infinity]^2)/32 + (341*S[3, Infinity]*S[5, Infinity])/
    128 - 5*S[2, Infinity]*S[-5, -1, Infinity] + 
   (9*(800*S[-7, -1, Infinity] + 69*S[5, 3, Infinity]))/640 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (4*S[-1, 1, 1, 1, Infinity])/5) + 
   S[1, Infinity]*((269*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (10*S[-1, Infinity]*S[3, Infinity]^2)/7 - 
     (221*S[2, Infinity]*S[5, Infinity])/224 + (2423*S[7, Infinity])/448 - 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (8*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + S[-1, Infinity]^2*
        S[2, Infinity] + (253*S[2, Infinity]^2)/280 + 
       4*S[-1, 1, 1, 1, Infinity])), S[1, 2, -1, 4, Infinity] -> 
  S[-1, Infinity]^8/144 - (115*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (3527273*S[2, Infinity]^4)/1176000 + 
   ((-59*S[-1, Infinity]^2)/28 + (6877*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (223*S[-1, Infinity]*S[2, Infinity])/28 - (75741*S[3, Infinity])/1792)*
    S[5, Infinity] - (5731*S[-1, Infinity]*S[7, Infinity])/128 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]) + 
   S[1, Infinity]*((-589*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (531*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/2 - (14883*S[2, Infinity])/448)*
      S[5, Infinity] + (44963*S[7, Infinity])/896 + 
     (20*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (4*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (3839*S[2, Infinity]^2)/
        1120 - 3*S[-1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((107*S[-1, Infinity]^4)/3360 + 
     (733*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + (467*S[-5, -1, Infinity])/14 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-808960*S[-7, -1, Infinity] - 178037*S[5, 3, Infinity] - 
     130560*S[-5, -1, -1, -1, Infinity] - 84480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/840 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (2669*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (132*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 1, -4, Infinity] -> 
  (-6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (1006997*S[2, Infinity]^4)/
    1176000 + ((-5*S[-1, Infinity]^2)/7 - (55*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((S[-1, Infinity]*S[2, Infinity])/14 - 
     (703*S[3, Infinity])/448)*S[5, Infinity] + 
   (4969*S[-1, Infinity]*S[7, Infinity])/448 + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (16*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/5 + 
     (3*S[2, Infinity]^2*S[3, Infinity])/56 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     (2001*S[2, Infinity]*S[5, Infinity])/448 - (4689*S[7, Infinity])/448 - 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (8*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (14080*S[-7, -1, Infinity] + 16497*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(-S[-1, Infinity]^4/105 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/105 - (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 1, 4, Infinity] -> 
  (767*S[2, Infinity]^4)/4200 + (S[2, Infinity]*S[3, Infinity]^2)/2 - 
   (7*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((3*S[2, Infinity]^2*S[3, Infinity])/10 + (S[2, Infinity]*S[5, Infinity])/
      2 + (5*S[7, Infinity])/8) - (3*S[5, 3, Infinity])/2, 
 S[1, -1, -5, -1, Infinity] -> (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (2361*S[2, Infinity]^4)/3500 + ((-35*S[-1, Infinity]^2)/64 + 
     (33*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/32 - (301*S[-1, Infinity]*S[2, Infinity])/64 - 
     (805*S[3, Infinity])/128)*S[5, Infinity] + 
   (637*S[-1, Infinity]*S[7, Infinity])/128 + 3*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((4*S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (9*S[2, Infinity]^2*S[3, Infinity])/20 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/16 + (63*S[7, Infinity])/32 - 
     S[-1, Infinity]*S[-5, -1, Infinity]) + S[-1, Infinity]*
    S[-5, 1, 1, Infinity] + (-240*S[-7, -1, Infinity] - 
     329*S[5, 3, Infinity] - 480*S[-5, -1, -1, -1, Infinity])/160 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/96 - S[-1, 1, 1, 1, Infinity]/4) + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/48 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (207*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[1, -1, -5, 1, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (193*S[2, Infinity]^4)/350 + ((-3*S[-1, Infinity]^2)/8 - 
     (11*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 + (31*S[-1, Infinity]*S[2, Infinity])/32 + 
     (457*S[3, Infinity])/128)*S[5, Infinity] + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (5*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((2*S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (37*S[2, Infinity]^2*S[3, Infinity])/40 - 
     (S[-1, Infinity]*S[3, Infinity]^2)/2 - 
     (15*S[2, Infinity]*S[5, Infinity])/16 + (889*S[7, Infinity])/128 + 
     S[-5, 1, 1, Infinity]) - S[-5, -1, 1, 1, Infinity] + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (4*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/
      6 - (S[-1, Infinity]*S[2, Infinity]^2)/10 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, -1, 5, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 + (33*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (48471*S[2, Infinity]^4)/56000 - (57*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 + (69*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-273*S[-1, Infinity]*S[2, Infinity])/64 + (127*S[3, Infinity])/256)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((-11*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (11*S[2, Infinity]^2*S[3, Infinity])/10 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((31*S[-1, Infinity]^2)/16 + (95*S[2, Infinity])/16)*S[5, Infinity] - 
     (1657*S[7, Infinity])/128 - 2*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/40 - (6*S[-1, 1, 1, 1, Infinity])/
      5) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-5, -1, Infinity]/2 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-4480*S[-7, -1, Infinity] - 549*S[5, 3, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640, S[1, -1, 5, 1, Infinity] -> 
  S[-1, Infinity]^8/288 + (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (14397*S[2, Infinity]^4)/11200 + 
   ((-3*S[-1, Infinity]^2)/8 + (207*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((341*S[-1, Infinity]^3)/96 + (31*S[-1, Infinity]*S[2, Infinity])/16 - 
     (2729*S[3, Infinity])/256)*S[5, Infinity] - 
   (1657*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   3*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[1, Infinity]*((-29*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (9*S[2, Infinity]^2*S[3, Infinity])/20 + 
     (33*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-31*S[-1, Infinity]^2)/16 - 2*S[2, Infinity])*S[5, Infinity] + 
     S[5, -1, -1, Infinity]) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    6 + S[2, Infinity]^2*(S[-1, Infinity]^4/60 + 
     (13*S[-1, 1, 1, 1, Infinity])/5) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 + (13*S[-5, -1, Infinity])/2 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1152*S[-7, -1, Infinity] - 245*S[5, 3, Infinity] - 
     128*S[-5, -1, -1, -1, Infinity] - 128*S[-5, -1, 1, 1, Infinity] + 
     128*S[-1, 1, 1, 1, Infinity]^2)/64 + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/80 + (13*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (71*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -5, -1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (489*S[2, Infinity]^4)/14000 + 
   ((5*S[-1, Infinity]^2)/8 - (3*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 + (65*S[-1, Infinity]*S[2, Infinity])/32 + 
     (175*S[3, Infinity])/128)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (S[1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (5*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/2 - 
     (9*S[2, Infinity]^2*S[3, Infinity])/40 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((31*S[-1, Infinity]^2)/16 + S[2, Infinity])*S[5, Infinity] + 
     S[-1, Infinity]*S[-5, -1, Infinity] + S[-5, 1, 1, Infinity]) + 
   (80*S[-7, -1, Infinity] + 11*S[5, 3, Infinity] + 
     10*S[-5, -1, 1, 1, Infinity])/10 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/120 - S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/
      6 + (8*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -5, 1, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (2431*S[2, Infinity]^4)/
    14000 - (15*S[-1, Infinity]^2*S[3, Infinity]^2)/8 + 
   ((31*S[-1, Infinity]^3)/16 + (3*S[-1, Infinity]*S[2, Infinity])/32 - 
     (229*S[3, Infinity])/128)*S[5, Infinity] - 
   (121*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[1, Infinity]^2*((-11*S[2, Infinity]^3)/40 + (3*S[3, Infinity]^2)/8 - 
     (31*S[-1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity]/2) + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (15*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((-7*S[2, Infinity]^2*S[3, Infinity])/20 - 
     (33*S[2, Infinity]*S[5, Infinity])/32 + (121*S[7, Infinity])/128 - 
     2*S[-5, 1, 1, Infinity]) + 3*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (-2240*S[-7, -1, Infinity] - 159*S[5, 3, Infinity] - 
     480*S[-5, -1, 1, 1, Infinity])/160 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/40 + (3*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/
      2 - (9*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 5, -1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (11771*S[2, Infinity]^4)/
    28000 + ((-5*S[-1, Infinity]^2)/8 + (11*S[2, Infinity])/8)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 - 
     (33*S[-1, Infinity]*S[2, Infinity])/16 - (365*S[3, Infinity])/256)*
    S[5, Infinity] + S[1, Infinity]^2*((7*S[2, Infinity]^3)/80 - 
     (9*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/32) - 
   (891*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   3*S[2, Infinity]*S[-5, -1, Infinity] - S[-1, Infinity]*
    S[5, -1, -1, Infinity] + S[1, Infinity]*
    ((-27*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (13*S[2, Infinity]^2*S[3, Infinity])/80 + 
     (49*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-31*S[-1, Infinity]^2)/16 - (95*S[2, Infinity])/32)*S[5, Infinity] + 
     (635*S[7, Infinity])/128 + S[5, -1, -1, Infinity]) + 
   (-16000*S[-7, -1, Infinity] - 2421*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(-S[-1, Infinity]^4/120 + 
     S[-1, 1, 1, 1, Infinity]/5) + S[3, Infinity]*(S[-1, Infinity]^5/60 - 
     (S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (297*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 5, 1, Infinity] -> 
  (5989*S[2, Infinity]^4)/7000 + (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   S[1, Infinity]^2*(S[2, Infinity]^3/5 - S[3, Infinity]^2/4) - 
   (11*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((3*S[2, Infinity]^2*S[3, Infinity])/5 - 2*S[7, Infinity]) - 
   (3*S[5, 3, Infinity])/10, S[1, -1, -4, -2, Infinity] -> 
  S[-1, Infinity]^8/144 + (415*S[-1, Infinity]^2*S[2, Infinity]^3)/168 + 
   (2525063*S[2, Infinity]^4)/1176000 + 
   ((11*S[-1, Infinity]^2)/224 + (19*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 + (107*S[-1, Infinity]*S[2, Infinity])/7 - 
     (5265*S[3, Infinity])/896)*S[5, Infinity] - 
   (9049*S[-1, Infinity]*S[7, Infinity])/448 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((-1867*S[-1, Infinity]*S[2, Infinity]^3)/840 - 
     (85*S[2, Infinity]^2*S[3, Infinity])/224 + 
     (201*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/4 - (6843*S[2, Infinity])/448)*S[5, Infinity] + 
     (35751*S[7, Infinity])/1792 + (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7) - 
   (2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((221*S[-1, Infinity]^4)/3360 + 
     (619*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + (83*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-40960*S[-7, -1, Infinity] - 11807*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-233*S[-1, Infinity]^5)/840 + 
     (45*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (831*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, -4, 2, Infinity] -> 
  (19*S[-1, Infinity]^2*S[2, Infinity]^3)/60 - (327293*S[2, Infinity]^4)/
    588000 + ((27*S[-1, Infinity]^2)/28 + (141*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 - 
     (25*S[-1, Infinity]*S[2, Infinity])/56 - (227*S[3, Infinity])/56)*
    S[5, Infinity] - (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (143*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((-29*S[-1, Infinity]*S[2, Infinity]^3)/105 + 
     (69*S[2, Infinity]^2*S[3, Infinity])/280 + 
     (37*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (325*S[2, Infinity]*S[5, Infinity])/224 - (445*S[7, Infinity])/1792 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (4*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/7) + 
   (38800*S[-7, -1, Infinity] + 3111*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/280 - 
     (69*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/21 + (10*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 4, -2, Infinity] -> 
  (-1727*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (454313*S[2, Infinity]^4)/1176000 + 
   ((-93*S[-1, Infinity]^2)/112 - (537*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 + 
     (993*S[-1, Infinity]*S[2, Infinity])/224 + (2489*S[3, Infinity])/896)*
    S[5, Infinity] + (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (78*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((149*S[-1, Infinity]*S[2, Infinity]^3)/210 - 
     (737*S[2, Infinity]^2*S[3, Infinity])/1120 - 
     (129*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (169*S[2, Infinity]*S[5, Infinity])/112 + (7509*S[7, Infinity])/1792 - 
     (10*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7) + 
   (-104960*S[-7, -1, Infinity] - 23087*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((19*S[-1, Infinity]^4)/3360 - 
     (19*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/70 - (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (969*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 4, 2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (305*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - 
   (327133*S[2, Infinity]^4)/294000 + 
   ((27*S[-1, Infinity]^2)/56 + (51*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 - (8325*S[-1, Infinity]*S[2, Infinity])/448 + 
     (6245*S[3, Infinity])/1792)*S[5, Infinity] + 
   (3691*S[-1, Infinity]*S[7, Infinity])/128 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((1541*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     (873*S[2, Infinity]^2*S[3, Infinity])/1120 - 
     (423*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/4 + (3509*S[2, Infinity])/224)*S[5, Infinity] - 
     (44165*S[7, Infinity])/1792 - (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7) + 
   4*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[2, Infinity]^2*((-443*S[-1, Infinity]^4)/3360 - 
     (397*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (34*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (51840*S[-7, -1, Infinity] + 13523*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((15*S[-1, Infinity]^5)/56 - 
     (127*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1417*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -4, -2, Infinity] -> 
  (116629*S[2, Infinity]^4)/168000 + (7*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   S[1, Infinity]^2*((193*S[2, Infinity]^3)/840 - (3*S[3, Infinity]^2)/8) + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/32 - (221*S[3, Infinity])/32)*
    S[5, Infinity] + S[1, Infinity]*((19*S[2, Infinity]^2*S[3, Infinity])/
      40 - (59*S[2, Infinity]*S[5, Infinity])/32 + (415*S[7, Infinity])/
      256) - (3*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (1031*S[5, 3, Infinity])/1280, S[1, 1, -4, 2, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (7481*S[2, Infinity]^4)/84000 + 
   ((5*S[-1, Infinity]^2)/2 - (23*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 + (333*S[-1, Infinity]*S[2, Infinity])/64 + 
     (193*S[3, Infinity])/32)*S[5, Infinity] - 
   (135*S[-1, Infinity]*S[7, Infinity])/128 - 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - (29*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]^2*((743*S[2, Infinity]^3)/1680 - (9*S[3, Infinity]^2)/8 + 
     (31*S[-1, Infinity]*S[5, Infinity])/8 + 2*S[-5, -1, Infinity]) - 
   4*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   S[1, Infinity]*((-9*S[2, Infinity]^2*S[3, Infinity])/40 + 
     (67*S[2, Infinity]*S[5, Infinity])/64 + (685*S[7, Infinity])/256 + 
     4*S[-5, 1, 1, Infinity]) + (22400*S[-7, -1, Infinity] + 
     1037*S[5, 3, Infinity] + 5120*S[-5, -1, 1, 1, Infinity])/1280 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (4*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 3*S[-1, Infinity]*
      S[2, Infinity]^2 + 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, 4, -2, Infinity] -> (-39*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (35731*S[2, Infinity]^4)/23520 + ((-65*S[-1, Infinity]^2)/28 + 
     (17*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 - (211*S[-1, Infinity]*S[2, Infinity])/56 + 
     (621*S[3, Infinity])/896)*S[5, Infinity] - 
   (17303*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[1, Infinity]^2*((-1069*S[2, Infinity]^3)/1680 + 
     (33*S[3, Infinity]^2)/32 - (31*S[-1, Infinity]*S[5, Infinity])/8 - 
     2*S[-5, -1, Infinity]) + (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (52*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (99*S[2, Infinity]^2*S[3, Infinity])/140 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (69*S[2, Infinity]*S[5, Infinity])/28 + (5095*S[7, Infinity])/1792 + 
     (2*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7) + 
   (2*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + (-19616*S[-7, -1, Infinity] - 981*S[5, 3, Infinity] - 
     256*S[-5, -1, -1, -1, Infinity] - 3328*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/420 + 
     (26*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/210 - (13*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (1601*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (52*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 4, 2, Infinity] -> 
  (-4813*S[2, Infinity]^4)/21000 - S[2, Infinity]*S[3, Infinity]^2 + 
   S[1, Infinity]^2*((-4*S[2, Infinity]^3)/105 + S[3, Infinity]^2/2) + 
   3*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((S[2, Infinity]^2*S[3, Infinity])/2 + 3*S[2, Infinity]*S[5, Infinity] - 
     (109*S[7, Infinity])/16) + (6*S[5, 3, Infinity])/5, 
 S[1, -1, -3, -3, Infinity] -> -S[-1, Infinity]^8/288 - 
   (1021*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (80551*S[2, Infinity]^4)/84000 + ((313*S[-1, Infinity]^2)/448 - 
     (31*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/16 - (739*S[-1, Infinity]*S[2, Infinity])/56 - 
     (1709*S[3, Infinity])/256)*S[5, Infinity] + 
   (30647*S[-1, Infinity]*S[7, Infinity])/896 + 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*(-S[-1, Infinity]^4/16 - 
     (3*S[-1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (5*S[-5, -1, Infinity])/4 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (5120*S[-7, -1, Infinity] + 621*S[5, 3, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*((713*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (873*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((93*S[-1, Infinity]^2)/8 + (9115*S[2, Infinity])/448)*S[5, Infinity] - 
     (28625*S[7, Infinity])/896 - (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (12*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (297*S[2, Infinity]^2)/140 + 
       (3*S[-1, 1, 1, 1, Infinity])/2)) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/120 - S[-1, Infinity]^3*S[2, Infinity] - 
     (149*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[1, -1, -3, 3, Infinity] -> 
  (-271*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (34663*S[2, Infinity]^4)/147000 + ((-207*S[-1, Infinity]^2)/224 - 
     (13*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 - (165*S[-1, Infinity]*S[2, Infinity])/112 + 
     (2521*S[3, Infinity])/1792)*S[5, Infinity] + 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (177*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (-190080*S[-7, -1, Infinity] - 38571*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] - 32000*S[-5, -1, 1, 1, Infinity])/
    8960 + S[1, Infinity]*((151*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (433*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (415*S[2, Infinity]*S[5, Infinity])/224 + (1011*S[7, Infinity])/448 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (25*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 - (13*S[2, Infinity]^2)/28 - 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    ((-4*S[-1, Infinity]^4)/105 + (32*S[-1, 1, 1, 1, Infinity])/35) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/70 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (3093*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 3, -3, Infinity] -> 
  S[-1, Infinity]^8/288 + (151*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (226823*S[2, Infinity]^4)/294000 + 
   ((99*S[-1, Infinity]^2)/448 - (275*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (1173*S[-1, Infinity]*S[2, Infinity])/112 - 
     (247*S[3, Infinity])/448)*S[5, Infinity] - 
   (40*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((-17*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (141*S[2, Infinity]^2*S[3, Infinity])/224 + 
     (279*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (1353*S[2, Infinity]*S[5, Infinity])/224 + (4057*S[7, Infinity])/448 + 
     (24*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (6*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7) + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/168 + 
     (2*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (107*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (3460*S[-7, -1, Infinity] + 813*S[5, 3, Infinity] + 
     760*S[-5, -1, -1, -1, Infinity] + 80*S[-5, -1, 1, 1, Infinity] + 
     280*S[-1, 1, 1, 1, Infinity]^2)/140 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/560 + 
     (45*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5697*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 3, 3, Infinity] -> 
  (227*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (85013*S[2, Infinity]^4)/336000 + ((-999*S[-1, Infinity]^2)/448 - 
     (123*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/16 + (1149*S[-1, Infinity]*S[2, Infinity])/112 + 
     (489*S[3, Infinity])/256)*S[5, Infinity] - 
   (4321*S[-1, Infinity]*S[7, Infinity])/224 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (7*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (-4480*S[-7, -1, Infinity] - 297*S[5, 3, Infinity])/640 + 
   S[1, Infinity]*((-155*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (1809*S[2, Infinity]^2*S[3, Infinity])/1120 + 
     (999*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-93*S[-1, Infinity]^2)/8 - (8835*S[2, Infinity])/448)*S[5, Infinity] + 
     (12699*S[7, Infinity])/448 + (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (12*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7) + 
   (6*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/480 + 
     (19*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/80 + (S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (15*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -3, -3, Infinity] -> 
  S[-1, Infinity]^8/288 + (S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (2911*S[2, Infinity]^4)/84000 + ((21*S[-1, Infinity]^2)/32 + 
     S[2, Infinity]/16)*S[3, Infinity]^2 + S[1, Infinity]^2*
    ((2*S[2, Infinity]^3)/35 + (9*S[3, Infinity]^2)/64) + 
   (17*S[3, Infinity]*S[5, Infinity])/128 + S[2, Infinity]^2*
    ((7*S[-1, Infinity]^4)/60 + S[-1, 1, 1, 1, Infinity]/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + 
   (621*S[5, 3, Infinity] + 1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (177*S[2, Infinity]*S[5, Infinity])/16 - (387*S[7, Infinity])/16 - 
     2*S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (183*S[2, Infinity]^2)/80 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/240 + (13*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -3, 3, Infinity] -> 
  S[-1, Infinity]^8/288 + (59*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (3508891*S[2, Infinity]^4)/1176000 + 
   ((205*S[-1, Infinity]^2)/112 + (5125*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (167*S[-1, Infinity]*S[2, Infinity])/28 + (771*S[3, Infinity])/224)*
    S[5, Infinity] - (5279*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[1, Infinity]^2*((-439*S[2, Infinity]^3)/560 + (81*S[3, Infinity]^2)/64 - 
     (93*S[-1, Infinity]*S[5, Infinity])/16 - 3*S[-5, -1, Infinity]) + 
   (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((-3*S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (39*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (2879*S[2, Infinity]*S[5, Infinity])/224 + (1285*S[7, Infinity])/56 + 
     (24*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (6*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (533*S[2, Infinity]^2)/224 - 
       (3*S[-1, 1, 1, 1, Infinity])/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/3360 + 
     (359*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + (8*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-35520*S[-7, -1, Infinity] - 5937*S[5, 3, Infinity] - 
     6080*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-313*S[-1, Infinity]^5)/1680 + 
     (173*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (363*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (37*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 1, 3, -3, Infinity] -> 
  (15*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (35087*S[2, Infinity]^4)/
    29400 + ((125*S[-1, Infinity]^2)/56 - (107*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (647*S[-1, Infinity]*S[2, Infinity])/112 + (8105*S[3, Infinity])/1792)*
    S[5, Infinity] + (9517*S[-1, Infinity]*S[7, Infinity])/448 - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (50*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]^2*((377*S[2, Infinity]^3)/560 - (105*S[3, Infinity]^2)/64 + 
     (93*S[-1, Infinity]*S[5, Infinity])/16 + 3*S[-5, -1, Infinity]) + 
   S[1, Infinity]*((17*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (433*S[2, Infinity]^2*S[3, Infinity])/560 - 
     (153*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (67*S[2, Infinity]*S[5, Infinity])/7 - (6101*S[7, Infinity])/448 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (25*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity])/7) - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + (52352*S[-7, -1, Infinity] + 6765*S[5, 3, Infinity] + 
     4352*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/168 - 
     (5*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-5*S[-1, Infinity]^5)/84 + (25*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (3697*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 3, 3, Infinity] -> 
  (3023*S[2, Infinity]^4)/4200 + (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   S[1, Infinity]^2*((2*S[2, Infinity]^3)/35 + S[3, Infinity]^2/4) - 
   (7*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    (-(S[2, Infinity]^2*S[3, Infinity])/10 - 
     (9*S[2, Infinity]*S[5, Infinity])/2 + (61*S[7, Infinity])/8) - 
   (3*S[5, 3, Infinity])/2, S[1, -1, -2, -4, Infinity] -> 
  S[-1, Infinity]^8/144 + (55*S[-1, Infinity]^2*S[2, Infinity]^3)/21 - 
   (684763*S[2, Infinity]^4)/1176000 + 
   ((289*S[-1, Infinity]^2)/112 - (167*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 + 
     (709*S[-1, Infinity]*S[2, Infinity])/56 + (22535*S[3, Infinity])/1792)*
    S[5, Infinity] - (32219*S[-1, Infinity]*S[7, Infinity])/896 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((-2021*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     (129*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/4 - (7403*S[2, Infinity])/448)*S[5, Infinity] + 
     (48099*S[7, Infinity])/1792 + (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (3561*S[2, Infinity]^2)/
        1120 - 3*S[-1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((99*S[-1, Infinity]^4)/1120 + 
     (543*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (13*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-66560*S[-7, -1, Infinity] - 2053*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/420 + 
     (15*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1713*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, -2, 4, Infinity] -> 
  (-61*S[-1, Infinity]^2*S[2, Infinity]^3)/420 - (208331*S[2, Infinity]^4)/
    147000 + ((111*S[-1, Infinity]^2)/112 + (37*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 - 
     (169*S[-1, Infinity]*S[2, Infinity])/56 - (1321*S[3, Infinity])/896)*
    S[5, Infinity] - (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (167*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (86880*S[-7, -1, Infinity] + 12731*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((41*S[-1, Infinity]^4)/420 - 
     (82*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    ((55*S[-1, Infinity]*S[2, Infinity]^3)/84 + 
     (289*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (799*S[2, Infinity]*S[5, Infinity])/224 - (16339*S[7, Infinity])/1792 + 
     (2*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + S[-1, Infinity]^2*
        S[2, Infinity] + (279*S[2, Infinity]^2)/140 + 
       4*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (-S[-1, Infinity]^5/35 + (2*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (261*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 2, -4, Infinity] -> 
  (-121*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (9613*S[2, Infinity]^4)/12000 + ((-9*S[-1, Infinity]^2)/8 - 
     (131*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 + (31*S[-1, Infinity]*S[2, Infinity])/8 + 
     (1791*S[3, Infinity])/256)*S[5, Infinity] + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (23*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-17920*S[-7, -1, Infinity] - 1793*S[5, 3, Infinity] - 
     5120*S[-5, -1, 1, 1, Infinity])/1280 + 
   S[1, Infinity]*((-47*S[-1, Infinity]*S[2, Infinity]^3)/840 - 
     (11*S[-1, Infinity]*S[3, Infinity]^2)/4 - 
     (161*S[2, Infinity]*S[5, Infinity])/32 + (4227*S[7, Infinity])/256 + 
     4*S[-5, 1, 1, Infinity] + S[3, Infinity]*(S[-1, Infinity]^4/6 - 
       S[-1, Infinity]^2*S[2, Infinity] - (5*S[2, Infinity]^2)/2 - 
       4*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    ((-7*S[-1, Infinity]^4)/60 + (14*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/
      3 + (17*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[1, -1, 2, 4, Infinity] -> 
  -S[-1, Infinity]^8/144 - (4099*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (1288123*S[2, Infinity]^4)/588000 + 
   ((-697*S[-1, Infinity]^2)/224 + (545*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 - 
     (165*S[-1, Infinity]*S[2, Infinity])/14 - (9347*S[3, Infinity])/448)*
    S[5, Infinity] + (43149*S[-1, Infinity]*S[7, Infinity])/896 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/140 - 
     (144*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (59*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (73600*S[-7, -1, Infinity] - 1679*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((1513*S[-1, Infinity]*S[2, Infinity]^3)/840 - 
     (27*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((31*S[-1, Infinity]^2)/4 + (7543*S[2, Infinity])/448)*S[5, Infinity] - 
     (56709*S[7, Infinity])/1792 - (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (1987*S[2, Infinity]^2)/560 + 
       3*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((143*S[-1, Infinity]^5)/420 - (47*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (8371*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -2, -4, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (1099*S[2, Infinity]^4)/8000 - 
   (7*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/20 - 
   (23*S[2, Infinity]*S[3, Infinity]^2)/64 + S[1, Infinity]^2*
    ((-47*S[2, Infinity]^3)/1680 + (3*S[3, Infinity]^2)/8) + 
   (451*S[3, Infinity]*S[5, Infinity])/256 + 
   S[1, Infinity]*((-2*S[2, Infinity]^2*S[3, Infinity])/5 - 
     (67*S[2, Infinity]*S[5, Infinity])/16 + (2179*S[7, Infinity])/256) - 
   (949*S[5, 3, Infinity])/1280 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/60 - (2*S[-1, 1, 1, 1, Infinity])/5), 
 S[1, 1, -2, 4, Infinity] -> (53*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (446171*S[2, Infinity]^4)/392000 + 
   ((45*S[-1, Infinity]^2)/28 - (2311*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 + (215*S[-1, Infinity]*S[2, Infinity])/56 + 
     (4227*S[3, Infinity])/1792)*S[5, Infinity] + 
   (16367*S[-1, Infinity]*S[7, Infinity])/896 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (36*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]^2*((143*S[2, Infinity]^3)/336 - (33*S[3, Infinity]^2)/32 + 
     (31*S[-1, Infinity]*S[5, Infinity])/8 + 2*S[-5, -1, Infinity]) + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/4 + 
     (141*S[2, Infinity]^2*S[3, Infinity])/224 - 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (1437*S[2, Infinity]*S[5, Infinity])/224 - (17481*S[7, Infinity])/1792 - 
     (10*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7) - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + (199040*S[-7, -1, Infinity] + 26363*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/3360 - 
     (23*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/70 + (3*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (2913*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, -4, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (246219*S[2, Infinity]^4)/
    98000 + ((-25*S[-1, Infinity]^2)/14 + (13*S[2, Infinity])/7)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (107*S[-1, Infinity]*S[2, Infinity])/28 + (447*S[3, Infinity])/112)*
    S[5, Infinity] - (45545*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[1, Infinity]^2*((-1223*S[2, Infinity]^3)/1680 + (9*S[3, Infinity]^2)/8 - 
     (31*S[-1, Infinity]*S[5, Infinity])/8 - 2*S[-5, -1, Infinity]) + 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (40*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (36*S[2, Infinity]^2*S[3, Infinity])/35 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (349*S[2, Infinity]*S[5, Infinity])/56 + (20793*S[7, Infinity])/1792 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (4*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/7) + 
   (4*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 + (-60080*S[-7, -1, Infinity] - 6457*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*(-S[-1, Infinity]^4/42 + 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (S[-1, Infinity]^5/21 - (10*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (341*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, 4, Infinity] -> 
  (7977*S[2, Infinity]^4)/7000 + (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   S[1, Infinity]^2*((37*S[2, Infinity]^3)/105 - S[3, Infinity]^2/2) - 
   8*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    (S[2, Infinity]^2*S[3, Infinity] + (11*S[2, Infinity]*S[5, Infinity])/2 - 
     (221*S[7, Infinity])/16) + (3*S[5, 3, Infinity])/5, 
 S[1, -1, -1, -5, Infinity] -> (657*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1559*S[2, Infinity]^4)/700 + ((-9*S[-1, Infinity]^2)/16 - 
     (331*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-21*S[-1, Infinity]^3)/32 + (13*S[-1, Infinity]*S[2, Infinity])/2 - 
     (433*S[3, Infinity])/256)*S[5, Infinity] + 
   S[1, Infinity]*((-111*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (113*S[2, Infinity]^2*S[3, Infinity])/160 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-15*S[-1, Infinity]^2)/32 + (17*S[2, Infinity])/32)*S[5, Infinity] - 
     (315*S[7, Infinity])/64) + (2415*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[2, Infinity]*S[-5, -1, Infinity])/4 + S[-1, Infinity]*
    S[5, -1, -1, Infinity] + (1664*S[-7, -1, Infinity] + 
     337*S[5, 3, Infinity] + 384*S[-5, -1, -1, -1, Infinity])/128 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/160 + 
     (21*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    (-S[-1, Infinity]^5/80 + (S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (31*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[1, -1, -1, 5, Infinity] -> 
  (-81*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (433*S[2, Infinity]^4)/700 + 
   (33*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/32 + 
   ((-9*S[-1, Infinity]^2)/32 - (21*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((5*S[-1, Infinity]^3)/16 + (111*S[-1, Infinity]*S[2, Infinity])/32 + 
     (439*S[3, Infinity])/256)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (11*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((3*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (11*S[2, Infinity]^2*S[3, Infinity])/10 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-23*S[-1, Infinity]^2)/16 - (87*S[2, Infinity])/16)*S[5, Infinity] + 
     (1785*S[7, Infinity])/128 + S[5, -1, -1, Infinity]) + 
   (4096*S[-7, -1, Infinity] + 421*S[5, 3, Infinity] + 
     256*S[-5, -1, -1, -1, Infinity] + 256*S[-5, -1, 1, 1, Infinity])/256 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/120 - (7*S[-1, 1, 1, 1, Infinity])/
      5), S[1, -1, 1, -5, Infinity] -> 
  (-4*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (921*S[2, Infinity]^4)/1120 + 
   ((3*S[-1, Infinity]^2)/8 + (3*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/3 - (23*S[-1, Infinity]*S[2, Infinity])/16 - 
     (171*S[3, Infinity])/128)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (17*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (1792*S[-7, -1, Infinity] + 201*S[5, 3, Infinity] + 
     384*S[-5, -1, 1, 1, Infinity])/128 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/15 - (8*S[-1, 1, 1, 1, Infinity])/5) + 
   S[1, Infinity]*((8*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((-23*S[-1, Infinity]^2)/16 + (73*S[2, Infinity])/32)*S[5, Infinity] - 
     (761*S[7, Infinity])/128 - S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*S[-5, 1, 1, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (5*S[2, Infinity]^2)/4 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/10 + 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 1, 5, Infinity] -> S[-1, Infinity]^8/288 + 
   (271*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (14113*S[2, Infinity]^4)/28000 + ((83*S[-1, Infinity]^2)/32 - 
     (91*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-125*S[-1, Infinity]^3)/96 + (301*S[-1, Infinity]*S[2, Infinity])/32 + 
     (3715*S[3, Infinity])/256)*S[5, Infinity] - 
   (1657*S[-1, Infinity]*S[7, Infinity])/128 - 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[1, Infinity]*((-4*S[-1, Infinity]*S[2, Infinity]^3)/7 - 
     (3*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((-15*S[-1, Infinity]^2)/32 - (251*S[2, Infinity])/64)*S[5, Infinity] + 
     7*S[7, Infinity] + S[-1, Infinity]*S[-5, -1, Infinity] + 
     S[5, -1, -1, Infinity] + S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (41*S[2, Infinity]^2)/32 - 
       (3*S[-1, 1, 1, 1, Infinity])/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/20 + (9*S[-1, 1, 1, 1, Infinity])/5) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (11*S[-5, -1, Infinity])/2 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (7040*S[-7, -1, Infinity] + 1901*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-49*S[-1, Infinity]^5)/240 + 
     (35*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (463*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     7*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -1, -5, Infinity] -> 
  (2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (5039*S[2, Infinity]^4)/5600 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 + 
   ((-5*S[-1, Infinity]^3)/32 - (15*S[-1, Infinity]*S[2, Infinity])/32 - 
     (167*S[3, Infinity])/128)*S[5, Infinity] + 
   S[1, Infinity]^2*((4*S[2, Infinity]^3)/35 - 
     (15*S[-1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity]/2) + 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-1344*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity])/128 + S[1, Infinity]*
    ((-2*S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((23*S[-1, Infinity]^2)/16 + (23*S[2, Infinity])/8)*S[5, Infinity] - 
     (441*S[7, Infinity])/64 + S[-1, Infinity]*S[-5, -1, Infinity] + 
     S[-5, 1, 1, Infinity] + S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 - S[2, Infinity]^2/40 - 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/15 + (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[1, 1, -1, 5, Infinity] -> -S[-1, Infinity]^8/288 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (10877*S[2, Infinity]^4)/
    5600 + ((-71*S[-1, Infinity]^2)/64 + S[2, Infinity]/64)*
    S[3, Infinity]^2 + ((-9*S[-1, Infinity]^3)/8 - 
     (51*S[-1, Infinity]*S[2, Infinity])/8 + (869*S[3, Infinity])/256)*
    S[5, Infinity] + S[1, Infinity]^2*((-111*S[2, Infinity]^3)/560 + 
     (9*S[3, Infinity]^2)/64 - (15*S[-1, Infinity]*S[5, Infinity])/32) - 
   (121*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/160 - 
     (51*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (5*S[-5, -1, Infinity])/4 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-5*S[-7, -1, Infinity] - 4*S[-1, 1, 1, 1, Infinity]^2)/2 + 
   S[1, Infinity]*((43*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((77*S[-1, Infinity]^2)/32 + (289*S[2, Infinity])/64)*S[5, Infinity] - 
     (761*S[7, Infinity])/128 - S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*S[5, -1, -1, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (91*S[2, Infinity]^2)/160 + 
       (3*S[-1, 1, 1, 1, Infinity])/2)) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/120 - S[-1, Infinity]^3*S[2, Infinity] - 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[1, 1, 1, -5, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (4211*S[2, Infinity]^4)/5600 + 
   ((5*S[-1, Infinity]^2)/8 - S[2, Infinity]/8)*S[3, Infinity]^2 - 
   (5*S[1, Infinity]^3*S[5, Infinity])/32 + 
   ((-31*S[-1, Infinity]^3)/48 + (15*S[-1, Infinity]*S[2, Infinity])/16 - 
     (337*S[3, Infinity])/128)*S[5, Infinity] + 
   (887*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[1, Infinity]^2*((23*S[2, Infinity]^3)/140 - (3*S[3, Infinity]^2)/8 + 
     (31*S[-1, Infinity]*S[5, Infinity])/32 + S[-5, -1, Infinity]/2) - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] - S[-1, Infinity]*
    S[-5, 1, 1, Infinity] + S[1, Infinity]*
    ((7*S[2, Infinity]^2*S[3, Infinity])/20 + 
     (9*S[2, Infinity]*S[5, Infinity])/16 - (247*S[7, Infinity])/128 + 
     S[-5, 1, 1, Infinity]) + (1024*S[-7, -1, Infinity] + 
     67*S[5, 3, Infinity] + 128*S[-5, -1, 1, 1, Infinity])/128 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/120 - S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/
      6 + (3*S[-1, Infinity]*S[2, Infinity]^2)/4 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 1, 5, Infinity] -> 
  (-619*S[2, Infinity]^4)/1400 - (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   S[1, Infinity]^2*((-3*S[2, Infinity]^3)/35 + S[3, Infinity]^2/4) + 
   (S[1, Infinity]^3*S[5, Infinity])/6 + (13*S[3, Infinity]*S[5, Infinity])/
    3 + S[1, Infinity]*(-(S[2, Infinity]^2*S[3, Infinity])/2 - 
     (3*S[2, Infinity]*S[5, Infinity])/2 + 5*S[7, Infinity]), 
 S[1, -4, -1, -1, -1, Infinity] -> (-243*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (598511*S[2, Infinity]^4)/784000 + 
   ((1177*S[-1, Infinity]^2)/448 + (3545*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 - 
     (9917*S[-1, Infinity]*S[2, Infinity])/448 - (4979*S[3, Infinity])/448)*
    S[5, Infinity] + (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (33*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     ((9*S[-1, Infinity]^2*S[2, Infinity])/8 + (255*S[2, Infinity]^2)/224)*
      S[3, Infinity] - (95*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((31*S[-1, Infinity]^2)/4 + (1417*S[2, Infinity])/112)*S[5, Infinity] - 
     (37197*S[7, Infinity])/1792 + (19*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (38*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity])/14) + 
   (-229920*S[-7, -1, Infinity] - 59919*S[5, 3, Infinity] - 
     58880*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/1680 - 
     S[-1, 1, 1, 1, Infinity]/70) + S[3, Infinity]*
    (-S[-1, Infinity]^5/840 - (83*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (4537*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, 1, 1, 1, 1, Infinity]/7), S[1, -4, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (33*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (990273*S[2, Infinity]^4)/392000 + 
   ((425*S[-1, Infinity]^2)/224 - (1717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/24 - 
     (6805*S[-1, Infinity]*S[2, Infinity])/448 + (55779*S[3, Infinity])/3584)*
    S[5, Infinity] + (8167*S[-1, Infinity]*S[7, Infinity])/448 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-227*S[-1, Infinity]^4)/3360 - 
     (403*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (95*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (3880*S[-7, -1, Infinity] + 981*S[5, 3, Infinity] - 
     360*S[-5, -1, -1, -1, Infinity] + 1760*S[-5, -1, 1, 1, Infinity] - 
     1680*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (207*S[-1, Infinity]*S[2, Infinity]^3)/70 - 
     (1773*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((403*S[-1, Infinity]^2)/32 + (20481*S[2, Infinity])/896)*
      S[5, Infinity] - (69865*S[7, Infinity])/1792 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (34*S[-5, 1, 1, Infinity] - 113*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/32 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/8 + (683*S[2, Infinity]^2)/280 + 
       (9*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/120 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((283*S[-1, Infinity]^5)/1680 - 
     (131*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (2379*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (169*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, -4, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 + (697*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1493581*S[2, Infinity]^4)/784000 + 
   ((243*S[-1, Infinity]^2)/128 - (3279*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (15*S[-1, Infinity]*S[2, Infinity])/32 + (32225*S[3, Infinity])/1792)*
    S[5, Infinity] + (10069*S[-1, Infinity]*S[7, Infinity])/1792 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*(S[-1, Infinity]^4/70 - 
     (129*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - (369*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (218560*S[-7, -1, Infinity] + 42801*S[5, 3, Infinity] + 
     24960*S[-5, -1, -1, -1, Infinity] + 42240*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/1680 + 
     (139*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (231*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (139*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (789*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (513*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((403*S[-1, Infinity]^2)/64 + (6389*S[2, Infinity])/448)*
      S[5, Infinity] - (33669*S[7, Infinity])/1792 + 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (38*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 + (177*S[2, Infinity]^2)/
        2240 - 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((13*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -4, -1, 1, 1, Infinity] -> (55*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (14433*S[2, Infinity]^4)/12250 + 
   ((9*S[-1, Infinity]^2)/56 + (271*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-24*S[-1, Infinity]*S[2, Infinity])/7 - (2363*S[3, Infinity])/448)*
    S[5, Infinity] + (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (41*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (-24800*S[-7, -1, Infinity] - 5883*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 800*S[-5, -1, 1, 1, Infinity])/2240 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/210 + 
     (76*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    ((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (51*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (95*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((155*S[-1, Infinity]^2)/64 + (2379*S[2, Infinity])/448)*
      S[5, Infinity] - (1475*S[7, Infinity])/112 + 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (19*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (781*S[2, Infinity]^2)/1120 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/280 - (S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (417*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -4, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (185*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (6374*S[2, Infinity]^4)/6125 + ((-705*S[-1, Infinity]^2)/896 - 
     (41*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 + (2535*S[-1, Infinity]*S[2, Infinity])/224 - 
     (6947*S[3, Infinity])/3584)*S[5, Infinity] - 
   (24293*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((367*S[-1, Infinity]^4)/3360 + 
     (473*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + (16*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-8320*S[-7, -1, Infinity] + 4583*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((25*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/5 + 
     (1201*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-403*S[-1, Infinity]^2)/64 - (8195*S[2, Infinity])/896)*
      S[5, Infinity] + (18651*S[7, Infinity])/1792 - 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-54*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 - (1653*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/60 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/420 + 
     (311*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2673*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (71*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, -4, 1, -1, 1, Infinity] -> 
  (-121*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (74871*S[2, Infinity]^4)/98000 + ((-9*S[-1, Infinity]^2)/56 - 
     (187*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((24*S[-1, Infinity]*S[2, Infinity])/7 - (467*S[3, Infinity])/1792)*
    S[5, Infinity] - (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (73*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (117120*S[-7, -1, Infinity] + 18653*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/28 - 
     (18*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (S[-1, Infinity]^5/420 + (10*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (199*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]*
    ((7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (33*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-155*S[-1, Infinity]^2)/64 + (301*S[2, Infinity])/64)*S[5, Infinity] - 
     (403*S[7, Infinity])/128 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/2 - 
     (5*S[-5, 1, 1, Infinity])/2 + S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 + (139*S[2, Infinity]^2)/160 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/30 + 
       4*S[-1, 1, 1, 1, 1, Infinity])), S[1, -4, 1, 1, -1, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (33*S[2, Infinity]^4)/56000 + 
   ((15*S[-1, Infinity]^2)/16 + (15*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 - (93*S[-1, Infinity]*S[2, Infinity])/64 - 
     (3*S[3, Infinity])/16)*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/4 + (339*S[5, 3, Infinity])/1280 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/240 + S[-1, 1, 1, 1, Infinity]/10) + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((93*S[-1, Infinity]^2)/32 + (15*S[2, Infinity])/32)*S[5, Infinity] - 
     (67*S[7, Infinity])/32 + (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (3*S[-5, 1, 1, Infinity])/2 + S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       S[-1, Infinity]^2*S[2, Infinity] - (3*S[2, Infinity]^2)/5 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (-S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, -4, 1, 1, 1, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (28643*S[2, Infinity]^4)/
    56000 + ((-15*S[-1, Infinity]^2)/8 - (3*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (99*S[-1, Infinity]*S[2, Infinity])/64 - (541*S[3, Infinity])/128)*
    S[5, Infinity] - (121*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (33*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]*(-(S[2, Infinity]^2*S[3, Infinity])/10 - 
     (S[2, Infinity]*S[5, Infinity])/2 - (147*S[7, Infinity])/128 - 
     (3*S[-5, 1, 1, Infinity])/2) + 3*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (-17920*S[-7, -1, Infinity] - 1671*S[5, 3, Infinity] - 
     3840*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/40 + (3*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/
      2 - (9*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[1, 4, -1, -1, -1, Infinity] -> 
  (387*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (13137*S[2, Infinity]^4)/6125 + ((-1837*S[-1, Infinity]^2)/448 - 
     (3725*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/96 + (2319*S[-1, Infinity]*S[2, Infinity])/112 - 
     (16767*S[3, Infinity])/3584)*S[5, Infinity] - 
   (4913*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (101*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (1139*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-9*S[-1, Infinity]^2*S[2, Infinity])/8 - (951*S[2, Infinity]^2)/560)*
      S[3, Infinity] + (1853*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-31*S[-1, Infinity]^2)/4 - (1919*S[2, Infinity])/112)*S[5, Infinity] + 
     (51277*S[7, Infinity])/1792 - (S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7) - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 + (227840*S[-7, -1, Infinity] + 72753*S[5, 3, Infinity] + 
     88320*S[-5, -1, -1, -1, Infinity] - 43520*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/840 + 
     (17*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/420 + (25*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (4171*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (34*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 4, -1, -1, 1, Infinity] -> 
  (603*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (160319*S[2, Infinity]^4)/
    392000 + ((-495*S[-1, Infinity]^2)/896 - (3487*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/96 + 
     (2857*S[-1, Infinity]*S[2, Infinity])/224 + (20837*S[3, Infinity])/3584)*
    S[5, Infinity] - (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (165*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (431680*S[-7, -1, Infinity] + 68049*S[5, 3, Infinity] + 
     70400*S[-5, -1, -1, -1, Infinity] + 28160*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*(S[-1, Infinity]^4/1680 - 
     S[-1, 1, 1, 1, Infinity]/70) + S[3, Infinity]*
    (-S[-1, Infinity]^5/105 + (71*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (9413*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]*
    ((13*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (439*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/8 - (6151*S[2, Infinity])/448)*S[5, Infinity] + 
     (97641*S[7, Infinity])/3584 - (3*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (-3*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/16 - (409*S[2, Infinity]^2)/
        224 - 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 2*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 4, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/576 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (335353*S[2, Infinity]^4)/
    392000 + ((-1915*S[-1, Infinity]^2)/896 - (2539*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (3531*S[-1, Infinity]*S[2, Infinity])/448 + (4643*S[3, Infinity])/1792)*
    S[5, Infinity] + (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((101*S[-1, Infinity]^4)/3360 + 
     (109*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + (65*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-37760*S[-7, -1, Infinity] - 393*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] - 16320*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (83*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (125*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-403*S[-1, Infinity]^2)/64 - (4337*S[2, Infinity])/448)*
      S[5, Infinity] + (10215*S[7, Infinity])/1792 - 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-25*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 + (1563*S[2, Infinity]^2)/
        1120 + (13*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/120 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/840 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (587*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 4, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/192 + (533*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (347029*S[2, Infinity]^4)/392000 + 
   ((423*S[-1, Infinity]^2)/896 + (3117*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/32 + 
     (1263*S[-1, Infinity]*S[2, Infinity])/448 - (4245*S[3, Infinity])/448)*
    S[5, Infinity] - (2681*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/420 + 
     (191*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/16 + (30*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-133760*S[-7, -1, Infinity] - 29493*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] - 14720*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-65*S[-1, Infinity]^5)/336 + 
     (55*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (85*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (253*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (353*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-589*S[-1, Infinity]^2)/64 - (6577*S[2, Infinity])/448)*
      S[5, Infinity] + (47749*S[7, Infinity])/1792 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-11*S[-5, 1, 1, Infinity] + 38*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (619*S[2, Infinity]^2)/280 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/120 + 
       S[-1, 1, 1, 1, 1, Infinity])), S[1, 4, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (1319*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2071*S[2, Infinity]^4)/24500 + ((-223*S[-1, Infinity]^2)/448 + 
     (1697*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/32 - (4821*S[-1, Infinity]*S[2, Infinity])/448 - 
     (42205*S[3, Infinity])/3584)*S[5, Infinity] + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-299*S[-1, Infinity]^4)/3360 + 
     (89*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (437*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-661440*S[-7, -1, Infinity] - 108659*S[5, 3, Infinity] - 
     72960*S[-5, -1, -1, -1, Infinity] - 88320*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/840 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (15563*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (83*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((-23*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (4*S[-1, Infinity]*S[2, Infinity]^3)/5 + 
     ((-155*S[-1, Infinity]^2)/64 - (33*S[2, Infinity])/16)*S[5, Infinity] + 
     (141*S[7, Infinity])/16 + S[5, -1, -1, Infinity] + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 - (4*S[2, Infinity]^2)/5 - 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*
      ((13*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 4, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (443*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (73877*S[2, Infinity]^4)/98000 + ((633*S[-1, Infinity]^2)/448 + 
     (1783*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 - (5265*S[-1, Infinity]*S[2, Infinity])/448 - 
     (15045*S[3, Infinity])/1792)*S[5, Infinity] + 
   (31611*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/3360 - 
     (263*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (99*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (53120*S[-7, -1, Infinity] - 12451*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (561*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((155*S[-1, Infinity]^2)/64 + (83*S[2, Infinity])/28)*S[5, Infinity] - 
     (15819*S[7, Infinity])/1792 + (3*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 + (227*S[2, Infinity]^2)/
        224 + S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/60 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/84 - 
     (103*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (461*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (25*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 4, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 + (821*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (14519*S[2, Infinity]^4)/196000 + ((1431*S[-1, Infinity]^2)/896 - 
     (3697*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (859*S[-1, Infinity]*S[2, Infinity])/224 + 
     (43559*S[3, Infinity])/3584)*S[5, Infinity] + 
   (47585*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/672 - 
     (55*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - (233*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (767680*S[-7, -1, Infinity] + 110637*S[5, 3, Infinity] + 
     52480*S[-5, -1, -1, -1, Infinity] + 108800*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/560 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (16937*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (347*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (179*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((31*S[-1, Infinity]^2)/8 + (2449*S[2, Infinity])/448)*S[5, Infinity] - 
     (23169*S[7, Infinity])/3584 + (6*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (33*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 + (267*S[2, Infinity]^2)/
        280 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 + S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 4, 1, 1, 1, Infinity] -> (-326*S[2, Infinity]^4)/175 + 
   (19*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((-7*S[2, Infinity]^2*S[3, Infinity])/10 - 2*S[2, Infinity]*
      S[5, Infinity] + (109*S[7, Infinity])/16) + (3*S[5, 3, Infinity])/2, 
 S[1, -3, -2, -1, -1, Infinity] -> S[-1, Infinity]^8/576 - 
   (347*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (2664107*S[2, Infinity]^4)/784000 + 
   ((85*S[-1, Infinity]^2)/112 + (409*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/96 + (29*S[-1, Infinity]*S[2, Infinity])/448 - 
     (112225*S[3, Infinity])/3584)*S[5, Infinity] + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((2059*S[-1, Infinity]^4)/3360 + 
     (671*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/48 + (363*S[-5, -1, Infinity])/14 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-755200*S[-7, -1, Infinity] - 107799*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] - 165120*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/14 + 
     (365*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (12727*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (185*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (97*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     ((-155*S[-1, Infinity]^2)/16 - (647*S[2, Infinity])/32)*S[5, Infinity] + 
     (7325*S[7, Infinity])/128 + 2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (4*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/48 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/4 - (1229*S[2, Infinity]^2)/
        160 - (19*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/60 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -3, -2, -1, 1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (93*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (1632523*S[2, Infinity]^4)/
    392000 + ((-1305*S[-1, Infinity]^2)/448 - (3499*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/192 + 
     (2139*S[-1, Infinity]*S[2, Infinity])/224 - (55261*S[3, Infinity])/3584)*
    S[5, Infinity] + (93003*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 108*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/84 - 
     (25*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (11*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (336640*S[-7, -1, Infinity] + 75409*S[5, 3, Infinity] + 
     104320*S[-5, -1, -1, -1, Infinity] - 32640*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (33*S[-1, Infinity]*S[2, Infinity]^3)/28 - 
     (227*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-31*S[-1, Infinity]^2)/64 - (4287*S[2, Infinity])/896)*
      S[5, Infinity] + (9547*S[7, Infinity])/1792 + 
     (2*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (53*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (37*S[-1, Infinity]^2*S[2, Infinity])/16 - (61*S[2, Infinity]^2)/112 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/60 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((953*S[-1, Infinity]^5)/3360 - 
     (109*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (2493*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (109*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, -3, -2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 + (817*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (398809*S[2, Infinity]^4)/784000 + 
   (3*S[-1, Infinity]^2 - (3607*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-465*S[-1, Infinity]^3)/64 + (643*S[-1, Infinity]*S[2, Infinity])/64 + 
     (60115*S[3, Infinity])/3584)*S[5, Infinity] + 
   (359*S[-1, Infinity]*S[7, Infinity])/14 - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-661*S[-1, Infinity]^4)/1680 - 
     (142*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - (337*S[-5, -1, Infinity])/14 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1269760*S[-7, -1, Infinity] + 198577*S[5, 3, Infinity] + 
     120320*S[-5, -1, -1, -1, Infinity] + 148480*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-233*S[-1, Infinity]^5)/3360 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2001*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (239*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (20*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     ((27*S[-1, Infinity]^2*S[2, Infinity])/16 + (2071*S[2, Infinity]^2)/
        2240)*S[3, Infinity] - (887*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((465*S[-1, Infinity]^2)/64 + (491*S[2, Infinity])/56)*S[5, Infinity] - 
     (3697*S[7, Infinity])/448 + (37*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (3*(24*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/14 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 + 2*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -3, -2, 1, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (24989*S[2, Infinity]^4)/
    11200 + ((49*S[-1, Infinity]^2)/64 + (49*S[2, Infinity])/64)*
    S[3, Infinity]^2 + (253*S[3, Infinity]*S[5, Infinity])/16 + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 - 
     (135*S[2, Infinity]*S[5, Infinity])/32 + (1113*S[7, Infinity])/64 + 
     S[-1, Infinity]*S[-5, -1, Infinity] + S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity] + S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (277*S[2, Infinity]^2)/80 - 
       (7*S[-1, 1, 1, 1, Infinity])/4)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/96 + 
     (13*S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/96 + (7*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (91*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (93*S[5, 3, Infinity] + 32*S[-1, 1, 1, 1, Infinity]^2)/32, 
 S[1, -3, 2, -1, -1, Infinity] -> -S[-1, Infinity]^8/288 + 
   (179*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (557757*S[2, Infinity]^4)/
    196000 + ((2109*S[-1, Infinity]^2)/448 - (5765*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/24 + 
     (263*S[-1, Infinity]*S[2, Infinity])/56 + (122359*S[3, Infinity])/3584)*
    S[5, Infinity] + (26469*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (38*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(71*S[-5, 1, 1, Infinity] - 34*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-113*S[-1, Infinity]^4)/168 - 
     (34*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - (1045*S[-5, -1, Infinity])/28 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1341440*S[-7, -1, Infinity] + 187041*S[5, 3, Infinity] + 
     57600*S[-5, -1, -1, -1, Infinity] + 256000*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-583*S[-1, Infinity]^5)/3360 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (24503*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (207*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (117*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (329*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((155*S[-1, Infinity]^2)/16 + (999*S[2, Infinity])/64)*S[5, Infinity] - 
     (1965*S[7, Infinity])/128 + (7*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     2*(3*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/8 + (99*S[2, Infinity]^2)/160 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((13*S[-1, Infinity]^5)/60 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -3, 2, -1, 1, Infinity] -> -S[-1, Infinity]^8/576 + 
   (771*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (900433*S[2, Infinity]^4)/392000 + 
   ((-867*S[-1, Infinity]^2)/448 - (571*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 - 
     (2371*S[-1, Infinity]*S[2, Infinity])/448 + (52807*S[3, Infinity])/1792)*
    S[5, Infinity] + (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-599*S[-1, Infinity]^4)/1120 + 
     (327*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (319*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (55680*S[-7, -1, Infinity] - 3919*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 45440*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (197*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((155*S[-1, Infinity]^2)/64 - (1509*S[2, Infinity])/448)*
      S[5, Infinity] - (1041*S[7, Infinity])/1792 + 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (13*S[-5, 1, 1, Infinity] - 22*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/16 + (177*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/30 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/420 - 
     (211*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (311*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (99*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -3, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (311*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (227657*S[2, Infinity]^4)/196000 + 
   ((-1285*S[-1, Infinity]^2)/448 + (723*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((589*S[-1, Infinity]^3)/192 - 
     (2951*S[-1, Infinity]*S[2, Infinity])/224 - (7647*S[3, Infinity])/1792)*
    S[5, Infinity] + (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (415*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/168 - 
     (23*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-339200*S[-7, -1, Infinity] - 60337*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 33920*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((353*S[-1, Infinity]^5)/1120 - 
     (27*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (543*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (81*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (50*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-589*S[-1, Infinity]^2)/64 - (367*S[2, Infinity])/112)*
      S[5, Infinity] + (633*S[7, Infinity])/112 - 
     (40*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/4 + (2701*S[2, Infinity]^2)/
        1120 + (21*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + 4*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -3, 2, 1, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (767*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (387883*S[2, Infinity]^4)/392000 + 
   ((2783*S[-1, Infinity]^2)/448 - (101*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-589*S[-1, Infinity]^3)/96 - 
     (2715*S[-1, Infinity]*S[2, Infinity])/448 + (34357*S[3, Infinity])/3584)*
    S[5, Infinity] + (31687*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (17*S[2, Infinity]^2*S[3, Infinity])/32 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     (71*S[2, Infinity]*S[5, Infinity])/32 - (1633*S[7, Infinity])/512 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity])/2) - 
   (S[-1, Infinity]*(122*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((419*S[-1, Infinity]^4)/3360 - 
     (209*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (705*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (797760*S[-7, -1, Infinity] + 87317*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] + 156160*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-733*S[-1, Infinity]^5)/3360 + 
     (635*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (15581*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (122*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, -2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 - (307*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (316119*S[2, Infinity]^4)/392000 + 
   ((-897*S[-1, Infinity]^2)/224 + (2113*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (683*S[-1, Infinity]*S[2, Infinity])/56 - (23249*S[3, Infinity])/896)*
    S[5, Infinity] - (10103*S[-1, Infinity]*S[7, Infinity])/448 + 
   (173*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-53*S[-5, 1, 1, Infinity] + 66*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/560 + (213*S[-1, 1, 1, 1, Infinity])/
      70) + S[2, Infinity]*(-S[-1, Infinity]^6/24 + 
     (691*S[-5, -1, Infinity])/28 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-591520*S[-7, -1, Infinity] - 
     109553*S[5, 3, Infinity] - 74240*S[-5, -1, -1, -1, Infinity] - 
     73600*S[-5, -1, 1, 1, Infinity] + 17920*S[-1, 1, 1, 1, Infinity]^2)/
    8960 + S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (131*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (549*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-155*S[-1, Infinity]^2)/16 - (6217*S[2, Infinity])/448)*
      S[5, Infinity] + (8255*S[7, Infinity])/896 - 
     (51*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (10*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/3 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/4 + (2951*S[2, Infinity]^2)/
        1120 + 8*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-13*S[-1, Infinity]^5)/60 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/420 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1131*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (122*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, -2, -1, 1, Infinity] -> 
  (-51*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (119271*S[2, Infinity]^4)/
    78400 + ((135*S[-1, Infinity]^2)/448 + (783*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (3531*S[-1, Infinity]*S[2, Infinity])/448 - (7687*S[3, Infinity])/896)*
    S[5, Infinity] + (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (15*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (-120*S[-7, -1, Infinity] - 95*S[5, 3, Infinity] - 
     240*S[-5, -1, -1, -1, Infinity] + 72*S[-5, -1, 1, 1, Infinity])/112 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/112 - 
     (69*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/840 - (19*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3257*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (117*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (235*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-93*S[-1, Infinity]^2)/64 + (1059*S[2, Infinity])/112)*
      S[5, Infinity] - (11951*S[7, Infinity])/896 - 
     (47*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-47*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/3 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/8 + (549*S[2, Infinity]^2)/140 + 
       8*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/30 + 
       4*S[-1, 1, 1, 1, 1, Infinity])), S[1, 3, -2, 1, -1, Infinity] -> 
  (711*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (183733*S[2, Infinity]^4)/
    784000 + ((101*S[-1, Infinity]^2)/224 - (663*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/192 + 
     (2519*S[-1, Infinity]*S[2, Infinity])/224 + (27603*S[3, Infinity])/3584)*
    S[5, Infinity] - (113*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (213*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (421760*S[-7, -1, Infinity] + 101239*S[5, 3, Infinity] + 
     72960*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*(S[-1, Infinity]^4/84 - 
     (2*S[-1, 1, 1, 1, Infinity])/7) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (12*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     ((-3*S[-1, Infinity]^2*S[2, Infinity])/8 + (237*S[2, Infinity]^2)/560)*
      S[3, Infinity] - (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((403*S[-1, Infinity]^2)/64 + (2237*S[2, Infinity])/448)*
      S[5, Infinity] - (23879*S[7, Infinity])/1792 + 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (29*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity])/14 + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-2*S[-1, Infinity]^5)/35 + 
     (4*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (11223*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (48*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (467*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (157987*S[2, Infinity]^4)/392000 + 
   ((-1503*S[-1, Infinity]^2)/448 + (473*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/96 + 
     (1761*S[-1, Infinity]*S[2, Infinity])/448 - (15139*S[3, Infinity])/1792)*
    S[5, Infinity] - (1759*S[-1, Infinity]*S[7, Infinity])/112 + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-58*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-69*S[-1, Infinity]^4)/1120 - 
     (3*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (379*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-64800*S[-7, -1, Infinity] - 11001*S[5, 3, Infinity] - 
     5280*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[1, Infinity]*((-3*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (185*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (1397*S[2, Infinity]*S[5, Infinity])/448 + (4265*S[7, Infinity])/1792 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (1229*S[2, Infinity]^2)/
        2240 + (7*S[-1, 1, 1, 1, Infinity])/4)) + 
   S[3, Infinity]*((159*S[-1, Infinity]^5)/1120 - 
     (379*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (9979*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, 2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (21*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (43977*S[2, Infinity]^4)/784000 + 
   ((367*S[-1, Infinity]^2)/224 - (481*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/96 + 
     (3281*S[-1, Infinity]*S[2, Infinity])/448 + (22597*S[3, Infinity])/1792)*
    S[5, Infinity] - (30*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((79*S[-1, Infinity]^4)/560 - 
     (27*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (215*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (18430*S[-7, -1, Infinity] + 3097*S[5, 3, Infinity] + 
     2000*S[-5, -1, -1, -1, Infinity] + 2480*S[-5, -1, 1, 1, Infinity] + 
     1120*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (907*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (75*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((155*S[-1, Infinity]^2)/16 + (697*S[2, Infinity])/56)*S[5, Infinity] - 
     (137799*S[7, Infinity])/3584 + (15*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (15*S[-5, 1, 1, Infinity] - 76*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (41*S[-1, Infinity]^2*S[2, Infinity])/8 + (523*S[2, Infinity]^2)/140 + 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/60 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/420 + 
     (59*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (8639*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (118*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (131*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (393399*S[2, Infinity]^4)/196000 + 
   ((261*S[-1, Infinity]^2)/112 + (1233*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((775*S[-1, Infinity]^3)/192 + 
     (421*S[-1, Infinity]*S[2, Infinity])/224 + (22093*S[3, Infinity])/1792)*
    S[5, Infinity] - (118003*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 48*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((2*S[-1, Infinity]^4)/21 + (26*S[-1, 1, 1, 1, Infinity])/
      7) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + (65*S[-5, -1, Infinity])/
      14 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-54800*S[-7, -1, Infinity] - 6561*S[5, 3, Infinity] - 
     8800*S[-5, -1, -1, -1, Infinity] - 160*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/112 + 
     (299*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (5199*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/10 - 
     (285*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((217*S[-1, Infinity]^2)/64 + (417*S[2, Infinity])/64)*S[5, Infinity] - 
     (707*S[7, Infinity])/128 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 - 
     2*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/16 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/8 - (913*S[2, Infinity]^2)/320 - 
       (9*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 2*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 3, 2, 1, -1, Infinity] -> S[-1, Infinity]^8/192 - 
   (797*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (16927*S[2, Infinity]^4)/392000 + 
   ((-145*S[-1, Infinity]^2)/56 + (6353*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/64 - 
     (1907*S[-1, Infinity]*S[2, Infinity])/448 - (33533*S[3, Infinity])/1792)*
    S[5, Infinity] - (56489*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-66*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/3360 + (631*S[-1, 1, 1, 1, Infinity])/
      140) + S[2, Infinity]*(-S[-1, Infinity]^6/16 + 
     (379*S[-5, -1, Infinity])/14 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2) + 
   (-1303360*S[-7, -1, Infinity] - 188903*S[5, 3, Infinity] - 
     93440*S[-5, -1, -1, -1, Infinity] - 175360*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (867*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (337*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-527*S[-1, Infinity]^2)/64 - (10713*S[2, Infinity])/896)*
      S[5, Infinity] + (27145*S[7, Infinity])/1792 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-66*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/32 - 
       (57*S[-1, Infinity]^2*S[2, Infinity])/16 - (8157*S[2, Infinity]^2)/
        2240 - (21*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/3360 - 
     (121*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (24287*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (281*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 3, 2, 1, 1, Infinity] -> 
  (2763*S[2, Infinity]^4)/875 - 17*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((13*S[2, Infinity]^2*S[3, Infinity])/5 + 
     (11*S[2, Infinity]*S[5, Infinity])/2 - (131*S[7, Infinity])/8) - 
   (23*S[5, 3, Infinity])/10, S[1, -3, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 + (843*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (239089*S[2, Infinity]^4)/112000 + 
   ((-101*S[-1, Infinity]^2)/32 - (221*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/48 + (71*S[-1, Infinity]*S[2, Infinity])/8 + 
     (9203*S[3, Infinity])/256)*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/32 - 
     (15*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (28640*S[-7, -1, Infinity] + 6589*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (23*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     (165*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/16 - (171*S[2, Infinity])/28)*S[5, Infinity] - 
     (19343*S[7, Infinity])/896 - (33*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 - (3*(11*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/32 + 
       (33*S[-1, Infinity]^2*S[2, Infinity])/16 + (174*S[2, Infinity]^2)/35 + 
       (33*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/120 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/160 - (4*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (689*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (83*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/80 - 9*S[-5, -1, Infinity] - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -3, -1, -2, 1, Infinity] -> (-471*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (20803*S[2, Infinity]^4)/392000 + 
   ((-321*S[-1, Infinity]^2)/224 + (14885*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/12 - 
     (5325*S[-1, Infinity]*S[2, Infinity])/224 - (119827*S[3, Infinity])/
      3584)*S[5, Infinity] - (31751*S[-1, Infinity]*S[7, Infinity])/896 + 
   (233*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (251*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity]))/
    7 + (-646400*S[-7, -1, Infinity] - 160611*S[5, 3, Infinity] - 
     141440*S[-5, -1, -1, -1, Infinity] - 37760*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/3360 + 
     (139*S[-1, 1, 1, 1, Infinity])/140) + 
   S[1, Infinity]*((-547*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (2029*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-93*S[-1, Infinity]^2)/8 - (9489*S[2, Infinity])/896)*S[5, Infinity] + 
     (1551*S[7, Infinity])/112 - (25*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (-39*S[-5, 1, 1, Infinity] + 59*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 - (9*S[2, Infinity]^2)/112 + 
       (5*S[-1, 1, 1, 1, Infinity])/4)) + S[3, Infinity]*
    ((271*S[-1, Infinity]^5)/3360 - (271*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (22901*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (271*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, -3, -1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/64 - (251*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (2244853*S[2, Infinity]^4)/392000 + 
   ((-21*S[-1, Infinity]^2)/32 + (3201*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 - 
     (15*S[-1, Infinity]*S[2, Infinity])/8 - (6359*S[3, Infinity])/112)*
    S[5, Infinity] - (128249*S[-1, Infinity]*S[7, Infinity])/3584 + 
   7*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (5*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((643*S[-1, Infinity]^4)/1680 + 
     (361*S[-1, 1, 1, 1, Infinity])/35) + 
   (-847520*S[-7, -1, Infinity] - 165901*S[5, 3, Infinity] - 
     102400*S[-5, -1, -1, -1, Infinity] - 139520*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((19*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (1209*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (87*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-155*S[-1, Infinity]^2)/16 - (10833*S[2, Infinity])/448)*
      S[5, Infinity] + (44739*S[7, Infinity])/1792 - 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (51*S[2, Infinity]^2)/56 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((-37*S[-1, Infinity]^5)/120 + 9*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/840 + 
     (409*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1551*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (457*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/80 + (625*S[-5, -1, Infinity])/
      14 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -3, -1, 2, 1, Infinity] -> S[-1, Infinity]^8/576 - 
   (121*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (30701*S[2, Infinity]^4)/56000 + ((-13*S[-1, Infinity]^2)/64 - 
     (109*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (9*S[-1, Infinity]*S[2, Infinity] - (1957*S[3, Infinity])/256)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/96 - 
     (23*S[-1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 6*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (14400*S[-7, -1, Infinity] + 403*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((1083*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (1867*S[2, Infinity]*S[5, Infinity])/448 - (38771*S[7, Infinity])/3584 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (39*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-41*S[-1, Infinity]^4)/96 + 
       (41*S[-1, Infinity]^2*S[2, Infinity])/16 + (143*S[2, Infinity]^2)/28 + 
       (41*S[-1, 1, 1, 1, Infinity])/4)) + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/160 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (251*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, -3, 1, -2, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/576 - (23*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + 
   (540803*S[2, Infinity]^4)/196000 + 
   ((-127*S[-1, Infinity]^2)/64 - (4651*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 + 
     (237*S[-1, Infinity]*S[2, Infinity])/16 - (26813*S[3, Infinity])/1792)*
    S[5, Infinity] + (24293*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((509*S[-1, Infinity]^4)/840 - 
     (493*S[-1, 1, 1, 1, Infinity])/70) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (325120*S[-7, -1, Infinity] + 92721*S[5, 3, Infinity] + 
     139520*S[-5, -1, -1, -1, Infinity] - 85760*S[-5, -1, 1, 1, Infinity] - 
     197120*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (57*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (1173*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((31*S[-1, Infinity]^2)/16 - (3887*S[2, Infinity])/896)*S[5, Infinity] + 
     (4957*S[7, Infinity])/448 + (33*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (47*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/4 - (1161*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/8 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/210 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (219*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (74*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 + (113*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -3, 1, -2, 1, Infinity] -> -S[-1, Infinity]^8/96 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + (549*S[2, Infinity]^4)/7000 + 
   ((-35*S[-1, Infinity]^2)/32 + (35*S[2, Infinity])/64)*S[3, Infinity]^2 - 
   (277*S[3, Infinity]*S[5, Infinity])/256 + 
   S[1, Infinity]*((-21*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/32 - 
     (151*S[2, Infinity]*S[5, Infinity])/16 + (6303*S[7, Infinity])/256 + 
     3*S[-1, Infinity]*S[-5, -1, Infinity] + 
     3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] - 
       (117*S[2, Infinity]^2)/32 - 4*S[-1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/16 + (3*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*(S[-1, Infinity]^6/8 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + 
   (811*S[5, 3, Infinity] - 7680*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/240 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/16 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[1, -3, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/48 + (461*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (548601*S[2, Infinity]^4)/392000 + 
   ((519*S[-1, Infinity]^2)/224 + (279*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 - (773*S[-1, Infinity]*S[2, Infinity])/56 + 
     (17085*S[3, Infinity])/1792)*S[5, Infinity] + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-149*S[-1, Infinity]^4)/280 + 
     (237*S[-1, 1, 1, 1, Infinity])/35) + 
   (-72320*S[-7, -1, Infinity] - 39303*S[5, 3, Infinity] - 
     55040*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (47*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (69*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/16 - (713*S[2, Infinity])/448)*S[5, Infinity] + 
     (5127*S[7, Infinity])/1792 + (S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/8 - (1059*S[2, Infinity]^2)/
        560 - 4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-411*S[-1, Infinity]^5)/1120 + 
     (S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (191*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (179*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 - (65*S[-5, -1, Infinity])/7 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -3, 1, 2, 1, Infinity] -> S[-1, Infinity]^8/288 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (74063*S[2, Infinity]^4)/78400 + ((-111*S[-1, Infinity]^2)/112 - 
     (2007*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 - (171*S[-1, Infinity]*S[2, Infinity])/224 + 
     (967*S[3, Infinity])/448)*S[5, Infinity] + 
   (47809*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((349*S[-1, Infinity]^4)/3360 + 
     (71*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + (43*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1656*S[-7, -1, Infinity] + 835*S[5, 3, Infinity] + 
     960*S[-5, -1, -1, -1, Infinity] - 512*S[-5, -1, 1, 1, Infinity] + 
     448*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[1, Infinity]*((11*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (47*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (699*S[2, Infinity]*S[5, Infinity])/56 - (21341*S[7, Infinity])/896 - 
     (22*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-15*S[-5, 1, 1, Infinity] - 22*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 + (229*S[2, Infinity]^2)/224 + 
       (5*S[-1, 1, 1, 1, Infinity])/4)) + S[3, Infinity]*
    ((-41*S[-1, Infinity]^5)/1680 + (13*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (641*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 3, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 + (1129*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (229731*S[2, Infinity]^4)/49000 + 
   ((951*S[-1, Infinity]^2)/224 - (12403*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (6593*S[-1, Infinity]*S[2, Infinity])/896 + (204759*S[3, Infinity])/
      3584)*S[5, Infinity] + (2195*S[-1, Infinity]*S[7, Infinity])/112 - 
   (247*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 87*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/560 - 
     (321*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (1705280*S[-7, -1, Infinity] + 328347*S[5, 3, Infinity] + 
     198400*S[-5, -1, -1, -1, Infinity] + 285440*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-467*S[-1, Infinity]^5)/1680 + 
     (493*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (7033*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (467*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - (635*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (207*S[-1, Infinity]*S[2, Infinity]^3)/70 - 
     (3519*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((155*S[-1, Infinity]^2)/16 + (11113*S[2, Infinity])/448)*
      S[5, Infinity] - (45733*S[7, Infinity])/1792 + 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/3 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (1731*S[2, Infinity]^2)/
        1120 - 8*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((11*S[-1, Infinity]^5)/60 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 3, -1, -2, 1, Infinity] -> (9*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (3513*S[2, Infinity]^4)/3500 + ((31*S[-1, Infinity]^2)/32 + 
     (123*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (-9*S[-1, Infinity]*S[2, Infinity] + (2813*S[3, Infinity])/512)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-28800*S[-7, -1, Infinity] - 1523*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity])/
    2560 + S[1, Infinity]*((-887*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (465*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (1507*S[2, Infinity]*S[5, Infinity])/448 - (10613*S[7, Infinity])/1792 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (11*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/3 - 2*S[-1, Infinity]^2*
        S[2, Infinity] - (5693*S[2, Infinity]^2)/2240 - 
       8*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    ((-7*S[-1, Infinity]^4)/40 + (21*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/
      6 - (719*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 3, -1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (1377*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (48873*S[2, Infinity]^4)/784000 + 
   ((263*S[-1, Infinity]^2)/112 + (1599*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/48 - 
     (12977*S[-1, Infinity]*S[2, Infinity])/896 - (101679*S[3, Infinity])/
      3584)*S[5, Infinity] + (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/840 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-53920*S[-7, -1, Infinity] - 12547*S[5, 3, Infinity] - 
     12640*S[-5, -1, -1, -1, Infinity] - 3040*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((163*S[-1, Infinity]^5)/1120 - 
     (S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (16671*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (489*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + (40*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (51*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (33*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((31*S[-1, Infinity]^2)/16 + (189*S[2, Infinity])/32)*S[5, Infinity] + 
     (5545*S[7, Infinity])/256 + 2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/4 - (469*S[2, Infinity]^2)/160 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/60 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 16*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 3, -1, 2, 1, Infinity] -> -S[-1, Infinity]^8/576 + 
   (431*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (16109*S[2, Infinity]^4)/156800 + 
   ((499*S[-1, Infinity]^2)/448 - (115*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/12 + (5315*S[-1, Infinity]*S[2, Infinity])/224 + 
     (117273*S[3, Infinity])/3584)*S[5, Infinity] + 
   (14659*S[-1, Infinity]*S[7, Infinity])/448 - 
   (243*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((1059*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (447*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((93*S[-1, Infinity]^2)/8 + (7807*S[2, Infinity])/896)*S[5, Infinity] - 
     (19821*S[7, Infinity])/1792 + (15*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (22*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (107*S[2, Infinity]^2)/560 - 
       (3*S[-1, 1, 1, 1, Infinity])/4)) + S[2, Infinity]^2*
    ((89*S[-1, Infinity]^4)/3360 - (299*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - (271*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (262656*S[-7, -1, Infinity] + 62581*S[5, 3, Infinity] + 
     54016*S[-5, -1, -1, -1, Infinity] + 17664*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/560 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (21731*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (311*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, 3, 1, -2, -1, Infinity] -> 
  (13*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (23983*S[2, Infinity]^4)/
    112000 + ((11*S[-1, Infinity]^2)/64 - (21*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 + 
     (41*S[-1, Infinity]*S[2, Infinity])/32 + (845*S[3, Infinity])/512)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] + S[1, Infinity]*
    ((-11*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (3*S[2, Infinity]^2*S[3, Infinity])/16 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((31*S[-1, Infinity]^2)/16 + (211*S[2, Infinity])/64)*S[5, Infinity] - 
     (607*S[7, Infinity])/128 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity])/2) + 
   (10240*S[-7, -1, Infinity] + 3081*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(S[-1, Infinity]^4/240 - 
     S[-1, 1, 1, 1, Infinity]/10) + S[3, Infinity]*
    (-S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (211*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     S[-1, 1, 1, 1, 1, Infinity]), S[1, 3, 1, -2, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (10019*S[2, Infinity]^4)/
    112000 + ((-5*S[-1, Infinity]^2)/8 + (115*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 + 
     (31*S[-1, Infinity]*S[2, Infinity])/32 - (365*S[3, Infinity])/256)*
    S[5, Infinity] - (127*S[-1, Infinity]*S[7, Infinity])/16 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (7*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (S[2, Infinity]^2*S[3, Infinity])/2 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/64 - 
     (69*S[2, Infinity]*S[5, Infinity])/32 + (409*S[7, Infinity])/128 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity])/2) + 
   (-12160*S[-7, -1, Infinity] - 1991*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(-S[-1, Infinity]^4/120 + 
     S[-1, 1, 1, 1, Infinity]/5) + S[3, Infinity]*(S[-1, Infinity]^5/60 - 
     (S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (161*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 3, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (323*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (317827*S[2, Infinity]^4)/784000 + 
   ((-883*S[-1, Infinity]^2)/224 + (377*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 - 
     (485*S[-1, Infinity]*S[2, Infinity])/224 - (7309*S[3, Infinity])/896)*
    S[5, Infinity] + (23647*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-353*S[-1, Infinity]^4)/3360 - 
     (277*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + (101*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-196160*S[-7, -1, Infinity] - 25609*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 51200*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((17*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (1115*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-31*S[-1, Infinity]^2)/16 - (355*S[2, Infinity])/896)*S[5, Infinity] - 
     (8639*S[7, Infinity])/3584 - (19*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (-33*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/16 + (569*S[2, Infinity]^2)/
        224 + (21*S[-1, 1, 1, 1, Infinity])/4)) + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/672 - 
     (601*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1023*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, 1, 2, 1, Infinity] -> 
  (54*S[2, Infinity]^4)/175 - (3*S[3, Infinity]*S[5, Infinity])/2 + 
   S[1, Infinity]*((3*S[2, Infinity]^2*S[3, Infinity])/2 - 
     (9*S[2, Infinity]*S[5, Infinity])/2 + (67*S[7, Infinity])/16) - 
   S[5, 3, Infinity], S[1, -3, -1, -1, -2, Infinity] -> 
  S[-1, Infinity]^8/192 - (S[-1, Infinity]^2*S[2, Infinity]^3)/7 + 
   (911033*S[2, Infinity]^4)/1176000 + 
   ((-437*S[-1, Infinity]^2)/448 - (373*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1565*S[-1, Infinity]*S[2, Infinity])/224 - 
     (1667*S[3, Infinity])/448)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((79*S[-1, Infinity]^4)/840 + 
     (87*S[-1, 1, 1, 1, Infinity])/70) + 
   (76000*S[-7, -1, Infinity] + 1173*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((173*S[-1, Infinity]^5)/3360 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (401*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (173*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (607*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (405*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-155*S[-1, Infinity]^2)/16 - (2591*S[2, Infinity])/224)*
      S[5, Infinity] + (50681*S[7, Infinity])/1792 - 
     (81*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-81*S[-5, 1, 1, Infinity] + 59*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 + (27*S[2, Infinity]^2)/56 + 
       (13*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/20 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-37*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -3, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/288 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (281879*S[2, Infinity]^4)/
    470400 + ((-537*S[-1, Infinity]^2)/224 + (699*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/8 + 
     (5825*S[-1, Infinity]*S[2, Infinity])/448 - (8899*S[3, Infinity])/896)*
    S[5, Infinity] - (9807*S[-1, Infinity]*S[7, Infinity])/256 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    2 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((197*S[-1, Infinity]^4)/3360 + 
     (293*S[-1, 1, 1, 1, Infinity])/140) + 
   (-19840*S[-7, -1, Infinity] - 4089*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 1536*S[-5, -1, 1, 1, Infinity] + 
     1792*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-611*S[-1, Infinity]^5)/3360 + 
     (67*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (247*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (2367*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (117*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-341*S[-1, Infinity]^2)/16 - (2109*S[2, Infinity])/56)*
      S[5, Infinity] + (59665*S[7, Infinity])/896 + 
     (12*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(29*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 - (267*S[2, Infinity]^2)/56 - 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/120 - 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-19*S[-1, Infinity]^6)/360 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (437*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -3, -1, 1, -2, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (5647303*S[2, Infinity]^4)/2352000 + 
   ((-2099*S[-1, Infinity]^2)/896 + (2239*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (837*S[-1, Infinity]*S[2, Infinity])/224 - (38047*S[3, Infinity])/1792)*
    S[5, Infinity] - (9325*S[-1, Infinity]*S[7, Infinity])/896 + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 83*S[5, -1, -1, Infinity]))/
    14 + (-141760*S[-7, -1, Infinity] - 61171*S[5, 3, Infinity] - 
     41600*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/280 + 
     (19*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/1120 - (59*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (6287*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (69*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (1467*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (3617*S[2, Infinity]^2*S[3, Infinity])/2240 + 
     (1193*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-403*S[-1, Infinity]^2)/32 - (2923*S[2, Infinity])/112)*
      S[5, Infinity] + (73991*S[7, Infinity])/1792 + 
     (31*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-53*S[-5, 1, 1, Infinity] + 129*S[5, -1, -1, Infinity])/14 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 + S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 + 
     (101*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -3, -1, 1, 2, Infinity] -> S[-1, Infinity]^8/576 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (1503367*S[2, Infinity]^4)/
    1176000 + ((-143*S[-1, Infinity]^2)/896 - (1437*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((15*S[-1, Infinity]*S[2, Infinity])/14 + 
     (23607*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((221*S[-1, Infinity]^4)/3360 + 
     (129*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (86080*S[-7, -1, Infinity] + 44251*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/1120 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (823*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-155*S[-1, Infinity]^2)/32 - (4541*S[2, Infinity])/448)*
      S[5, Infinity] + (55341*S[7, Infinity])/1792 - 
     (12*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-12*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (1523*S[2, Infinity]^2)/
        560 - (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/20 + 
       6*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-17*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (2*(8*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[1, -3, 1, -1, -2, Infinity] -> (-1241*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (446723*S[2, Infinity]^4)/168000 + 
   ((-4085*S[-1, Infinity]^2)/896 - (413*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 - 
     (1885*S[-1, Infinity]*S[2, Infinity])/224 - (6537*S[3, Infinity])/512)*
    S[5, Infinity] + (92661*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((517*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((7*S[-1, Infinity]^2*S[2, Infinity])/16 + (981*S[2, Infinity]^2)/448)*
      S[3, Infinity] - (1231*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((279*S[-1, Infinity]^2)/32 + (18057*S[2, Infinity])/896)*
      S[5, Infinity] - (63925*S[7, Infinity])/1792 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (3*(13*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity]))/14) - 
   (S[-1, Infinity]*(-55*S[-5, 1, 1, Infinity] - 111*S[5, -1, -1, Infinity]))/
    14 + (640*S[-7, -1, Infinity] + 697*S[5, 3, Infinity] + 
     1600*S[-5, -1, -1, -1, Infinity] - 1600*S[-5, -1, 1, 1, Infinity])/320 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/240 - 
     (7*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/4 - (109*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (3821*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((3*S[-1, Infinity]^6)/80 + 8*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, -3, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/144 + (43*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (370819*S[2, Infinity]^4)/235200 + 
   ((-95*S[-1, Infinity]^2)/896 - (2329*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((195*S[-1, Infinity]*S[2, Infinity])/14 - 
     (1543*S[3, Infinity])/3584)*S[5, Infinity] - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((131*S[-1, Infinity]^4)/1680 + 
     (79*S[-1, 1, 1, 1, Infinity])/70) + 
   (-8256*S[-7, -1, Infinity] + 8857*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] - 16640*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[1, Infinity]*((-2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (57*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (93*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((155*S[-1, Infinity]^2)/32 - (295*S[2, Infinity])/28)*S[5, Infinity] + 
     (449*S[7, Infinity])/28 + (47*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (47*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 - (3443*S[2, Infinity]^2)/
        1120 - (7*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/1680 + 
     (9*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (12093*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (S[-1, Infinity]^6/120 + (3*(31*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[1, -3, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (4031*S[2, Infinity]^4)/
    16800 + ((-63*S[-1, Infinity]^2)/64 - (33*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]*S[2, Infinity])/32 - 
     (1001*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/96 - (11*S[-1, 1, 1, 1, Infinity])/
      4) + (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   8*S[-1, 1, 1, 1, Infinity]^2 + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/120 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (77*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (33*S[-1, Infinity]*S[3, Infinity]^2)/32 - 
     (15*S[2, Infinity]*S[5, Infinity])/4 + (1695*S[7, Infinity])/128 + 
     S[-1, Infinity]*S[-5, -1, Infinity] + S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity] + S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (21*S[2, Infinity]^2)/16 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/15 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (S[-1, Infinity]^6/12 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[1, -3, 1, 1, 2, Infinity] -> (-303*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (68287*S[2, Infinity]^4)/147000 + 
   ((-1227*S[-1, Infinity]^2)/448 + (129*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((661*S[-1, Infinity]*S[2, Infinity])/448 - 
     (16783*S[3, Infinity])/3584)*S[5, Infinity] + 
   (39537*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   (77120*S[-7, -1, Infinity] - 5253*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-367*S[-1, Infinity]^4)/3360 - 
     (263*S[-1, 1, 1, 1, Infinity])/140) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (865*S[-1, Infinity]*S[3, Infinity]^2)/448 - 
     (1749*S[2, Infinity]*S[5, Infinity])/448 + (7923*S[7, Infinity])/3584 + 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (9*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 + (803*S[2, Infinity]^2)/
        560 + 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/30 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((83*S[-1, Infinity]^5)/420 - (163*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (4217*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (141*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (41*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 3, -1, -1, -2, Infinity] -> (-73*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 - (1575409*S[2, Infinity]^4)/470400 + 
   ((2943*S[-1, Infinity]^2)/448 - (1167*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/8 - 
     (3497*S[-1, Infinity]*S[2, Infinity])/224 + (43677*S[3, Infinity])/1792)*
    S[5, Infinity] + (4199*S[-1, Infinity]*S[7, Infinity])/512 - 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity]))/
    2 + (3*(20928*S[-7, -1, Infinity] + 5809*S[5, 3, Infinity] + 
      1536*S[-5, -1, -1, -1, Infinity] + 5632*S[-5, -1, 1, 1, Infinity]))/
    3584 + S[2, Infinity]^2*((17*S[-1, Infinity]^4)/210 - 
     (33*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (2367*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^2*S[2, Infinity])/16 + (15*S[2, Infinity]^2)/7)*
      S[3, Infinity] - (283*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((341*S[-1, Infinity]^2)/16 + (34255*S[2, Infinity])/896)*
      S[5, Infinity] - (55549*S[7, Infinity])/896 - 
     (12*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(29*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity]))/7 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-81*S[-1, Infinity]^5)/1120 + 
     (341*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (967*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (243*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (-843*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 3, -1, -1, 2, Infinity] -> (117*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (118703*S[2, Infinity]^4)/470400 + 
   ((437*S[-1, Infinity]^2)/448 + (457*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-15*S[-1, Infinity]*S[2, Infinity])/7 + 
     (2305*S[3, Infinity])/896)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-3800*S[-7, -1, Infinity] - 969*S[5, 3, Infinity] - 
     320*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity])/448 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/168 - S[-1, 1, 1, 1, Infinity]/
      7) + S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (313*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((7*S[-1, Infinity]^2*S[2, Infinity])/8 + (4437*S[2, Infinity]^2)/1120)*
      S[3, Infinity] - (293*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((155*S[-1, Infinity]^2)/16 + (8619*S[2, Infinity])/448)*
      S[5, Infinity] - (192803*S[7, Infinity])/3584 + 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (39*S[-5, 1, 1, Infinity] - 101*S[5, -1, -1, Infinity])/14 + 
     S[2, Infinity]*(S[-1, Infinity]^5/12 - 
       10*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/21 + (31*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (47*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (80*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 + 
     (107*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 3, -1, 1, -2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (107*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2669557*S[2, Infinity]^4)/1176000 + 
   ((773*S[-1, Infinity]^2)/896 + (1159*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-10889*S[-1, Infinity]*S[2, Infinity])/448 + 
     (197*S[3, Infinity])/112)*S[5, Infinity] + 
   (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-101*S[-1, Infinity]^4)/560 - 
     (76*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-110720*S[-7, -1, Infinity] - 33779*S[5, 3, Infinity] - 
     96000*S[-5, -1, -1, -1, Infinity] + 96000*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (629*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((155*S[-1, Infinity]^2)/32 + (1541*S[2, Infinity])/112)*
      S[5, Infinity] - (40231*S[7, Infinity])/1792 + 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (29*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (47*S[2, Infinity]^2)/1120 - 
       (13*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/12 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/1120 - 
     (169*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (10097*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (8*(12*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[1, 3, -1, 1, 2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (6*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (2410559*S[2, Infinity]^4)/
    2352000 + ((979*S[-1, Infinity]^2)/896 - (9579*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (2291*S[-1, Infinity]*S[2, Infinity])/896 + (25251*S[3, Infinity])/1792)*
    S[5, Infinity] + (49821*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 97*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/420 - 
     (201*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (395520*S[-7, -1, Infinity] + 90331*S[5, 3, Infinity] + 
     83200*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (391*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (531*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((403*S[-1, Infinity]^2)/32 + (22983*S[2, Infinity])/896)*
      S[5, Infinity] - (22513*S[7, Infinity])/448 - 
     (20*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/32 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (1077*S[2, Infinity]^2)/280 + 
       (15*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/120 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((191*S[-1, Infinity]^5)/840 - (137*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (3977*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/360 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-59*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, 3, 1, -1, -2, Infinity] -> S[-1, Infinity]^8/192 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (1388629*S[2, Infinity]^4)/
    2352000 + ((-45*S[-1, Infinity]^2)/896 + (33*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((1131*S[-1, Infinity]*S[2, Infinity])/448 - 
     (10371*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/560 + 
     (41*S[-1, 1, 1, 1, Infinity])/35) + 
   (32960*S[-7, -1, Infinity] - 1853*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/224 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 - (11*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (353*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-155*S[-1, Infinity]^2)/32 - (743*S[2, Infinity])/112)*
      S[5, Infinity] + (19959*S[7, Infinity])/1792 - 
     (43*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-43*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 + (3399*S[2, Infinity]^2)/
        2240 + (13*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/10 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 3, 1, -1, 2, Infinity] -> (253*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (80711*S[2, Infinity]^4)/168000 + 
   ((-1781*S[-1, Infinity]^2)/896 - (231*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 + 
     (9857*S[-1, Infinity]*S[2, Infinity])/896 - (1037*S[3, Infinity])/512)*
    S[5, Infinity] - (23039*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    14 + (-640*S[-7, -1, Infinity] + 323*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/32 + S[-1, 1, 1, 1, Infinity]/4) + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (157*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + (11*S[-5, -1, Infinity])/4 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-187*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (2775*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-279*S[-1, Infinity]^2)/32 - (11587*S[2, Infinity])/896)*
      S[5, Infinity] + (21499*S[7, Infinity])/896 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-29*S[-5, 1, 1, Infinity] + 34*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (579*S[2, Infinity]^2)/560 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/60 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity])), S[1, 3, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/576 + (13*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (298471*S[2, Infinity]^4)/470400 + 
   ((163*S[-1, Infinity]^2)/448 - (817*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((9*S[-1, Infinity]*S[2, Infinity])/224 + 
     (71*S[3, Infinity])/14)*S[5, Infinity] - 
   (1075*S[-1, Infinity]*S[7, Infinity])/224 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[1, Infinity]*((9*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (767*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (811*S[2, Infinity]*S[5, Infinity])/448 - (633*S[7, Infinity])/224 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (9*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (2841*S[2, Infinity]^2)/
        2240 - (7*S[-1, 1, 1, 1, Infinity])/4)) + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/3360 + 
     (137*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + (9*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-8384*S[-7, -1, Infinity] + 1275*S[5, 3, Infinity] + 
     1152*S[-5, -1, -1, -1, Infinity] - 1152*S[-5, -1, 1, 1, Infinity] + 
     1792*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-209*S[-1, Infinity]^5)/3360 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (191*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 3, 1, 1, 2, Infinity] -> 
  (44*S[2, Infinity]^4)/105 + S[2, Infinity]*S[3, Infinity]^2 - 
   5*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((S[2, Infinity]^2*S[3, Infinity])/5 + 5*S[2, Infinity]*S[5, Infinity] - 
     (61*S[7, Infinity])/8), S[1, -2, -3, -1, -1, Infinity] -> 
  (373*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (1112109*S[2, Infinity]^4)/
    784000 + ((563*S[-1, Infinity]^2)/448 - (1461*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (2659*S[-1, Infinity]*S[2, Infinity])/448 + (911*S[3, Infinity])/56)*
    S[5, Infinity] - (109*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (307*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((639*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((27*S[-1, Infinity]^2*S[2, Infinity])/8 + (2959*S[2, Infinity]^2)/1120)*
      S[3, Infinity] - (45*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((155*S[-1, Infinity]^2)/16 + (7361*S[2, Infinity])/448)*
      S[5, Infinity] - (54567*S[7, Infinity])/1792 + 
     (18*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (3*(12*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/14) + 
   (91040*S[-7, -1, Infinity] + 14531*S[5, 3, Infinity] + 
     6240*S[-5, -1, -1, -1, Infinity] + 16160*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((101*S[-1, Infinity]^4)/1680 - 
     (101*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-101*S[-1, Infinity]^5)/840 + (101*S[-1, Infinity]^3*S[2, Infinity])/
      84 + (7123*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (101*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -3, -1, 1, Infinity] -> 
  (163*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (13731*S[2, Infinity]^4)/15680 + ((-1567*S[-1, Infinity]^2)/448 - 
     (18*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((713*S[-1, Infinity]^3)/192 + (883*S[-1, Infinity]*S[2, Infinity])/224 + 
     (12011*S[3, Infinity])/1792)*S[5, Infinity] - 
   (351*S[-1, Infinity]*S[7, Infinity])/256 + 
   (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (145*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    2 + (-15488*S[-7, -1, Infinity] + 691*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 3072*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-39*S[-1, Infinity]^4)/1120 + 
     (117*S[-1, 1, 1, 1, Infinity])/140) + 
   S[1, Infinity]*((151*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (649*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((279*S[-1, Infinity]^2)/64 + (6745*S[2, Infinity])/448)*
      S[5, Infinity] - (26055*S[7, Infinity])/896 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-55*S[-5, 1, 1, Infinity] - 83*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 2*S[-1, Infinity]^2*
        S[2, Infinity] + (3167*S[2, Infinity]^2)/2240 + 
       (5*S[-1, 1, 1, 1, Infinity])/4)) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/35 - (4*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (4573*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (48*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -3, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/192 - (1991*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (398809*S[2, Infinity]^4)/784000 + 
   ((-143*S[-1, Infinity]^2)/64 + (7249*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/64 - 
     (643*S[-1, Infinity]*S[2, Infinity])/64 - (58673*S[3, Infinity])/3584)*
    S[5, Infinity] - (12377*S[-1, Infinity]*S[7, Infinity])/448 + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-58*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/1680 + 
     (142*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/16 + (337*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-1269760*S[-7, -1, Infinity] - 198577*S[5, 3, Infinity] - 
     120320*S[-5, -1, -1, -1, Infinity] - 148480*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (361*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (69*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-465*S[-1, Infinity]^2)/64 - (575*S[2, Infinity])/448)*
      S[5, Infinity] - (7955*S[7, Infinity])/1792 - 
     (65*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (5*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 + (141*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/1680 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3519*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (116*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -3, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/576 - (43*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (26179*S[2, Infinity]^4)/11200 - (5*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (3615*S[3, Infinity]*S[5, Infinity])/256 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/480 - 
     (43*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-93*S[5, 3, Infinity] + 32*S[-1, 1, 1, 1, Infinity]^2)/32 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     (519*S[2, Infinity]*S[5, Infinity])/64 - (8209*S[7, Infinity])/256 - 
     3*S[-1, Infinity]*S[-5, -1, Infinity] - 
     3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/8 + (979*S[2, Infinity]^2)/160 + 
       (21*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/10 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/480 + (7*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (301*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4), S[1, -2, 3, -1, -1, Infinity] -> 
  (-113*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (337709*S[2, Infinity]^4)/
    392000 + ((-863*S[-1, Infinity]^2)/448 + (9489*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/24 - 
     (613*S[-1, Infinity]*S[2, Infinity])/56 - (101527*S[3, Infinity])/3584)*
    S[5, Infinity] - (58697*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (709*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]*((-1719*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-27*S[-1, Infinity]^2*S[2, Infinity])/8 - (177*S[2, Infinity]^2)/56)*
      S[3, Infinity] + (2007*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-155*S[-1, Infinity]^2)/16 - (3137*S[2, Infinity])/112)*
      S[5, Infinity] + (91289*S[7, Infinity])/1792 + 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (2*(2*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity]))/7) + 
   (15*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + (-1224960*S[-7, -1, Infinity] - 242971*S[5, 3, Infinity] - 
     165120*S[-5, -1, -1, -1, Infinity] - 148480*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/420 + 
     (58*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((29*S[-1, Infinity]^5)/210 - (29*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (2467*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (116*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, 3, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/576 - (947*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (93209*S[2, Infinity]^4)/98000 + ((-9*S[-1, Infinity]^2)/112 + 
     (571*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 - (317*S[-1, Infinity]*S[2, Infinity])/448 - 
     (11339*S[3, Infinity])/1792)*S[5, Infinity] - 
   (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/3360 + 
     (121*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + (207*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-51200*S[-7, -1, Infinity] + 10583*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (109*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-155*S[-1, Infinity]^2)/64 - (893*S[2, Infinity])/64)*S[5, Infinity] + 
     (291*S[7, Infinity])/16 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 - (403*S[2, Infinity]^2)/320 + 
       (5*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/40 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/1680 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3347*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (37*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, -2, 3, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 + (243*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (199637*S[2, Infinity]^4)/392000 + 
   ((155*S[-1, Infinity]^2)/224 - (981*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/192 + 
     (1801*S[-1, Infinity]*S[2, Infinity])/224 + (24727*S[3, Infinity])/3584)*
    S[5, Infinity] - (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/3360 - 
     (151*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - (379*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (64800*S[-7, -1, Infinity] + 11001*S[5, 3, Infinity] + 
     5280*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/1120 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (8277*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (183*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (127*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((341*S[-1, Infinity]^2)/64 + (9115*S[2, Infinity])/896)*
      S[5, Infinity] - (9913*S[7, Infinity])/896 + 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (29*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (367*S[2, Infinity]^2)/2240 - 
       (5*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/10 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity])), S[1, -2, 3, 1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/14 - (183733*S[2, Infinity]^4)/
    784000 + ((-25*S[-1, Infinity]^2)/28 + (733*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/96 + 
     (1699*S[-1, Infinity]*S[2, Infinity])/448 - (16067*S[3, Infinity])/3584)*
    S[5, Infinity] - (46429*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (213*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] + 57*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]*((-3*S[-1, Infinity]*S[2, Infinity]^3)/8 - 
     (541*S[2, Infinity]^2*S[3, Infinity])/560 + 
     (135*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (873*S[2, Infinity]*S[5, Infinity])/112 + (26603*S[7, Infinity])/1792 + 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (3*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/14) + 
   (-421760*S[-7, -1, Infinity] - 101239*S[5, 3, Infinity] - 
     72960*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*(-S[-1, Infinity]^4/84 + 
     (2*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (S[-1, Infinity]^5/42 - (5*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (4737*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -3, -1, -1, Infinity] -> 
  (557*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (132429*S[2, Infinity]^4)/
    392000 + ((43*S[-1, Infinity]^2)/448 - (11149*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 + 
     (3683*S[-1, Infinity]*S[2, Infinity])/224 + (104325*S[3, Infinity])/
      3584)*S[5, Infinity] + (135857*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (699*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]*((1563*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((15*S[-1, Infinity]^2*S[2, Infinity])/8 + (527*S[2, Infinity]^2)/280)*
      S[3, Infinity] - (2227*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((155*S[-1, Infinity]^2)/16 + (11359*S[2, Infinity])/448)*
      S[5, Infinity] - (77545*S[7, Infinity])/1792 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (2*(6*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity]))/7) - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 89*S[5, -1, -1, Infinity]))/
    14 + (1331840*S[-7, -1, Infinity] + 278071*S[5, 3, Infinity] + 
     190720*S[-5, -1, -1, -1, Infinity] + 140800*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/168 - 
     (11*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/84 + (55*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (20347*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (110*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -3, -1, 1, Infinity] -> 
  (173*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (121307*S[2, Infinity]^4)/
    56000 + ((-9*S[-1, Infinity]^2)/128 - (569*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/192 + 
     (313*S[-1, Infinity]*S[2, Infinity])/64 + (13115*S[3, Infinity])/512)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (31*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (18880*S[-7, -1, Infinity] + 4883*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity])/
    2560 + S[1, Infinity]*((-65*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((217*S[-1, Infinity]^2)/64 + (2587*S[2, Infinity])/448)*
      S[5, Infinity] - (19233*S[7, Infinity])/3584 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (22*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/
        16 - (2123*S[2, Infinity]^2)/1120 - 4*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/40 + (9*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(-S[-1, Infinity]^5/20 + 
     (S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (189*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, -3, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (709*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (387883*S[2, Infinity]^4)/392000 + 
   ((-2379*S[-1, Infinity]^2)/896 + (325*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/192 - 
     (745*S[-1, Infinity]*S[2, Infinity])/224 - (36821*S[3, Infinity])/3584)*
    S[5, Infinity] + (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-419*S[-1, Infinity]^4)/3360 + 
     (209*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (705*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-797760*S[-7, -1, Infinity] - 87317*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] - 156160*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (93*S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-527*S[-1, Infinity]^2)/64 - (6809*S[2, Infinity])/448)*
      S[5, Infinity] + (49965*S[7, Infinity])/1792 - 
     (12*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (6*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (31*S[-1, Infinity]^2*S[2, Infinity])/8 - (337*S[2, Infinity]^2)/140 - 
       (5*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/8 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/420 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (14897*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (122*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -3, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (39*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (27737*S[2, Infinity]^4)/196000 + 
   ((187*S[-1, Infinity]^2)/224 - (757*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/96 - 
     (2591*S[-1, Infinity]*S[2, Infinity])/448 + (1217*S[3, Infinity])/448)*
    S[5, Infinity] + (57303*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-167*S[-1, Infinity]^4)/3360 - 
     (463*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (415*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (339200*S[-7, -1, Infinity] + 60337*S[5, 3, Infinity] + 
     42240*S[-5, -1, -1, -1, Infinity] + 33920*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((109*S[-1, Infinity]^5)/1120 - 
     (131*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1017*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (163*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (185*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (1999*S[2, Infinity]*S[5, Infinity])/448 - (3669*S[7, Infinity])/896 - 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (33*S[2, Infinity]^2)/1120 - 
       (7*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/10 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity])), S[1, 2, 3, -1, -1, Infinity] -> 
  (-277*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (1989923*S[2, Infinity]^4)/
    784000 + ((-3*S[-1, Infinity]^2)/448 + (3197*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (5109*S[-1, Infinity]*S[2, Infinity])/448 - (52805*S[3, Infinity])/1792)*
    S[5, Infinity] + (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (335*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((-631*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((-15*S[-1, Infinity]^2*S[2, Infinity])/8 - (291*S[2, Infinity]^2)/224)*
      S[3, Infinity] + (115*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-155*S[-1, Infinity]^2)/16 - (477*S[2, Infinity])/28)*S[5, Infinity] + 
     (12455*S[7, Infinity])/448 - (23*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (-46*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity])/14) + 
   (-108120*S[-7, -1, Infinity] - 22637*S[5, 3, Infinity] - 
     9600*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/140 + 
     (54*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/70 - (9*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (8229*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 3, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (121*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (839*S[2, Infinity]^4)/7840 + ((4761*S[-1, Infinity]^2)/896 + 
     (821*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-465*S[-1, Infinity]^3)/64 - (339*S[-1, Infinity]*S[2, Infinity])/28 - 
     (8273*S[3, Infinity])/3584)*S[5, Infinity] + 
   (24373*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(94*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/560 - 
     (138*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (293*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (125952*S[-7, -1, Infinity] + 2489*S[5, 3, Infinity] - 
     6144*S[-5, -1, -1, -1, Infinity] + 27648*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/280 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (555*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (167*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (353*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (509*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-93*S[-1, Infinity]^2)/64 - (1593*S[2, Infinity])/448)*
      S[5, Infinity] + (25447*S[7, Infinity])/1792 + 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (24*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 + (1047*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/40 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 2, 3, 1, -1, Infinity] -> S[-1, Infinity]^8/192 + 
   (2103*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (382913*S[2, Infinity]^4)/392000 + 
   ((4281*S[-1, Infinity]^2)/896 - (6465*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/64 + 
     (5037*S[-1, Infinity]*S[2, Infinity])/448 + (9085*S[3, Infinity])/448)*
    S[5, Infinity] + (53771*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (97*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(71*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((71*S[-1, Infinity]^4)/420 + 
     (31*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - (379*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (1303360*S[-7, -1, Infinity] + 188903*S[5, 3, Infinity] + 
     93440*S[-5, -1, -1, -1, Infinity] + 175360*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (281*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (1049*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((403*S[-1, Infinity]^2)/64 + (1317*S[2, Infinity])/896)*
      S[5, Infinity] - (13675*S[7, Infinity])/3584 + 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (71*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/8 + (1669*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/10 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-1087*S[-1, Infinity]^5)/3360 + (297*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (36529*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (597*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, 2, 3, 1, 1, Infinity] -> 
  (-2763*S[2, Infinity]^4)/875 + 2*S[2, Infinity]*S[3, Infinity]^2 + 
   (23*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((-29*S[2, Infinity]^2*S[3, Infinity])/10 + (179*S[7, Infinity])/16) + 
   (23*S[5, 3, Infinity])/10, S[1, -2, -2, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (27*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (546523*S[2, Infinity]^4)/784000 + 
   ((13*S[-1, Infinity]^2)/14 + (16*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-3039*S[-1, Infinity]*S[2, Infinity])/448 - (17079*S[3, Infinity])/3584)*
    S[5, Infinity] + (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-137*S[-1, Infinity]^4)/1680 - 
     (73*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (38*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (40640*S[-7, -1, Infinity] - 30549*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/840 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (2771*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (103*S[-1, Infinity]*S[2, Infinity]^3)/70 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     (2113*S[2, Infinity]*S[5, Infinity])/224 + (4225*S[7, Infinity])/896 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (8*S[2, Infinity]^2)/7 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/20 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 12*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -2, -2, -2, 1, Infinity] -> (-87*S[2, Infinity]^4)/700 + 
   (5*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   (145*S[3, Infinity]*S[5, Infinity])/256 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/8 - 
     (123*S[2, Infinity]^2*S[3, Infinity])/224 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (235*S[2, Infinity]*S[5, Infinity])/112 + (4225*S[7, Infinity])/896 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7), 
 S[1, -2, -2, 2, -1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (401*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (312903*S[2, Infinity]^4)/196000 + 
   ((-587*S[-1, Infinity]^2)/112 - (729*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((3095*S[-1, Infinity]*S[2, Infinity])/448 - 
     (17931*S[3, Infinity])/1792)*S[5, Infinity] + 
   (10319*S[-1, Infinity]*S[7, Infinity])/512 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/14 - 
     (27*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 + (66*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (7680*S[-7, -1, Infinity] + 21403*S[5, 3, Infinity] + 
     42240*S[-5, -1, -1, -1, Infinity] - 42240*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (643*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (27*S[-1, Infinity]*S[3, Infinity]^2)/32 - 
     (47*S[2, Infinity]*S[5, Infinity])/4 + (415*S[7, Infinity])/16 + 
     4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     4*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/2 - (139*S[2, Infinity]^2)/80 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/4 - 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((311*S[-1, Infinity]^5)/840 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (9829*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -2, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 + (43*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (38369*S[2, Infinity]^4)/56000 + (407*S[3, Infinity]*S[5, Infinity])/128 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/240 + 
     (43*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (S[-1, Infinity]^6/24 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (3179*S[5, 3, Infinity] - 5120*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/240 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (301*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2) - 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/2 - 
     (1989*S[2, Infinity]*S[5, Infinity])/128 + (23599*S[7, Infinity])/512 + 
     6*S[-1, Infinity]*S[-5, -1, Infinity] + 
     6*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/16 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/4 - (99*S[2, Infinity]^2)/16 - 
       (21*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/5 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       6*S[-1, 1, 1, 1, 1, Infinity])), S[1, -2, 2, -2, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/144 + (59*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (1357*S[2, Infinity]^4)/280 + ((49*S[-1, Infinity]^2)/8 + 
     (465*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (1837*S[-1, Infinity]*S[2, Infinity])/64 + 
     (257*S[3, Infinity])/16)*S[5, Infinity] - 
   (1909*S[-1, Infinity]*S[7, Infinity])/32 + 7*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 8*S[-1, Infinity]*S[5, -1, -1, Infinity] - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/3 + 14*S[-1, 1, 1, 1, Infinity]) + 
   (-7680*S[-7, -1, Infinity] - 1909*S[5, 3, Infinity] - 
     2304*S[-5, -1, -1, -1, Infinity] + 768*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/128 + 
   S[1, Infinity]*(3*S[-1, Infinity]^3*S[2, Infinity]^2 + 
     (61*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (125*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-31*S[-1, Infinity]^2)/4 + (23*S[2, Infinity])/2)*S[5, Infinity] - 
     (1087*S[7, Infinity])/32 - 8*S[-1, Infinity]*S[-5, -1, Infinity] - 
     4*(3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 11*S[-1, Infinity]^2*
        S[2, Infinity] + (13*S[2, Infinity]^2)/5 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/2 + 
       12*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-191*S[-1, Infinity]^5)/240 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     13*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/60 - 6*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -2, 2, -2, 1, Infinity] -> S[-1, Infinity]^8/72 - 
   (41*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (37*S[2, Infinity]^4)/40 + 
   ((35*S[-1, Infinity]^2)/32 - (75*S[2, Infinity])/128)*S[3, Infinity]^2 - 
   (1621*S[3, Infinity]*S[5, Infinity])/256 + 
   S[2, Infinity]^2*((101*S[-1, Infinity]^4)/120 - 
     (41*S[-1, 1, 1, 1, Infinity])/5) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-119*S[5, 3, Infinity] + 
     512*S[-1, 1, 1, 1, Infinity]^2)/64 + S[1, Infinity]*
    (S[-1, Infinity]^3*S[2, Infinity]^2 + 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/10 + 
     (205*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (2157*S[2, Infinity]*S[5, Infinity])/64 - (749*S[7, Infinity])/8 - 
     12*S[-1, Infinity]*S[-5, -1, Infinity] - 
     12*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-37*S[-1, Infinity]^4)/48 + 
       (29*S[-1, Infinity]^2*S[2, Infinity])/4 + (461*S[2, Infinity]^2)/32 + 
       (37*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/5 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       6*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (-S[-1, Infinity]^5/5 + (19*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (287*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/2), S[1, -2, 2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/72 - (2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (1549*S[2, Infinity]^4)/400 + ((21*S[-1, Infinity]^2)/32 - 
     (299*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 + (1573*S[-1, Infinity]*S[2, Infinity])/64 - 
     (3747*S[3, Infinity])/256)*S[5, Infinity] - 
   7*S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    ((79*S[-1, Infinity]^4)/120 - (19*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (1408*S[-7, -1, Infinity] + 457*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 384*S[-5, -1, 1, 1, Infinity] - 
     512*S[-1, 1, 1, 1, Infinity]^2)/64 + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2) - 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/10 + 
     ((-21*S[-1, Infinity]^2*S[2, Infinity])/4 - (127*S[2, Infinity]^2)/80)*
      S[3, Infinity] - (53*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((31*S[-1, Infinity]^2)/4 - (435*S[2, Infinity])/32)*S[5, Infinity] + 
     (771*S[7, Infinity])/64 + 6*S[-1, Infinity]*S[-5, -1, Infinity] + 
     2*(3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[2, Infinity]*(S[-1, Infinity]^5/10 - 
       12*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/48 + (7*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (1087*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 8*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -2, 2, 2, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (1803*S[2, Infinity]^4)/
    11200 + ((-67*S[-1, Infinity]^2)/16 + (25*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 + 
     4*S[-1, Infinity]*S[2, Infinity] - (3051*S[3, Infinity])/512)*
    S[5, Infinity] - (10001*S[-1, Infinity]*S[7, Infinity])/512 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 2*S[-1, Infinity]*
    (3*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/10 - 
     (17*S[-1, Infinity]*S[3, Infinity]^2)/16 - 
     (63*S[2, Infinity]*S[5, Infinity])/4 + (16169*S[7, Infinity])/512 + 
     4*S[-1, Infinity]*S[-5, -1, Infinity] + 4*S[5, -1, -1, Infinity] + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (279*S[2, Infinity]^2)/80 - 
       (5*S[-1, 1, 1, 1, Infinity])/2)) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/6 + S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 18*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-19904*S[-7, -1, Infinity] - 2161*S[5, 3, Infinity] - 
     1024*S[-5, -1, -1, -1, Infinity] - 3072*S[-5, -1, 1, 1, Infinity] - 
     1024*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/80 - 
     (35*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (83*S[-1, Infinity]*S[2, Infinity]^2)/16 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (29*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 2, -2, -2, -1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (397*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (2732801*S[2, Infinity]^4)/392000 + 
   ((-1101*S[-1, Infinity]^2)/224 - (3813*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((28579*S[-1, Infinity]*S[2, Infinity])/896 - 
     (47309*S[3, Infinity])/1792)*S[5, Infinity] + 
   (10319*S[-1, Infinity]*S[7, Infinity])/512 - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((523*S[-1, Infinity]^4)/840 - 
     (103*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (18240*S[-7, -1, Infinity] + 15147*S[5, 3, Infinity] + 
     29760*S[-5, -1, -1, -1, Infinity] - 29760*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2) - 
     (431*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     ((-21*S[-1, Infinity]^2*S[2, Infinity])/4 - (3*S[2, Infinity]^2)/2)*
      S[3, Infinity] - (125*S[-1, Infinity]*S[3, Infinity]^2)/32 - 
     (745*S[2, Infinity]*S[5, Infinity])/32 + (415*S[7, Infinity])/16 + 
     4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     4*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[2, Infinity]*(S[-1, Infinity]^5/10 - 
       12*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((463*S[-1, Infinity]^5)/1680 + (2*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1831*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (144*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + (186*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 2, -2, -2, 1, Infinity] -> -S[-1, Infinity]^8/96 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (1263*S[2, Infinity]^4)/
    1400 + ((-35*S[-1, Infinity]^2)/32 + (15*S[2, Infinity])/8)*
    S[3, Infinity]^2 - (1679*S[3, Infinity]*S[5, Infinity])/512 + 
   S[1, Infinity]*((-21*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/16 - 
     (141*S[2, Infinity]*S[5, Infinity])/8 + (23599*S[7, Infinity])/512 + 
     6*S[-1, Infinity]*S[-5, -1, Infinity] + 
     6*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(S[-1, Infinity]^4/3 - 2*S[-1, Infinity]^2*
        S[2, Infinity] - (451*S[2, Infinity]^2)/64 - 
       8*S[-1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/80 + 
     (39*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (S[-1, Infinity]^6/8 - 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) - 
   (3*(17*S[5, 3, Infinity] + 1024*S[-1, 1, 1, 1, Infinity]^2))/512 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/240 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (273*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, -2, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/48 + (341*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (3626177*S[2, Infinity]^4)/784000 + 
   ((337*S[-1, Infinity]^2)/112 + (209*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-28467*S[-1, Infinity]*S[2, Infinity])/896 + (19423*S[3, Infinity])/896)*
    S[5, Infinity] + (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-341*S[-1, Infinity]^4)/840 + 
     (131*S[-1, 1, 1, 1, Infinity])/35) + 
   (-89920*S[-7, -1, Infinity] - 121771*S[5, 3, Infinity] - 
     202240*S[-5, -1, -1, -1, Infinity] + 202240*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(3*S[-1, Infinity]^3*S[2, Infinity]^2 + 
     (199*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (421*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (2209*S[2, Infinity]*S[5, Infinity])/112 - (43481*S[7, Infinity])/896 - 
     (47*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (47*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/24 + 
       (47*S[-1, Infinity]^2*S[2, Infinity])/4 + (6439*S[2, Infinity]^2)/
        1120 + 5*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/2 + 12*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-421*S[-1, Infinity]^5)/1680 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (509*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (351*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 - (158*S[-5, -1, Infinity])/7 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 2, -2, 2, 1, Infinity] -> S[-1, Infinity]^8/72 + 
   (53*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (2413*S[2, Infinity]^4)/
    22400 + ((7*S[-1, Infinity]^2)/2 - (63*S[2, Infinity])/64)*
    S[3, Infinity]^2 + (1457*S[3, Infinity]*S[5, Infinity])/128 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/240 + 
     (53*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 + 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (119*S[5, 3, Infinity] + 512*S[-1, 1, 1, 1, Infinity]^2)/64 + 
   S[1, Infinity]*(S[-1, Infinity]^3*S[2, Infinity]^2 + 
     (47*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (753*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (15803*S[2, Infinity]*S[5, Infinity])/896 - (43481*S[7, Infinity])/896 - 
     (47*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (47*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/4 + 
       (33*S[-1, Infinity]^2*S[2, Infinity])/8 + (429*S[2, Infinity]^2)/112 + 
       6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/5 + 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       6*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/60 + (5*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (371*S[-1, Infinity]*S[2, Infinity]^2)/80 + 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 2, 2, -2, -1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + (4519*S[2, Infinity]^4)/22400 + 
   ((-147*S[-1, Infinity]^2)/32 - (179*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 + (103*S[-1, Infinity]*S[2, Infinity])/8 + 
     (579*S[3, Infinity])/128)*S[5, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/240 + 
     (11*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (S[-1, Infinity]^6/24 + 20*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1720*S[-7, -1, Infinity] + 87*S[5, 3, Infinity] + 
     256*S[-5, -1, -1, -1, Infinity] - 512*S[-5, -1, 1, 1, Infinity] - 
     128*S[-1, 1, 1, 1, Infinity]^2)/64 + S[1, Infinity]*
    ((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (369*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     ((-31*S[-1, Infinity]^2)/4 - (63*S[2, Infinity])/4)*S[5, Infinity] + 
     (16169*S[7, Infinity])/512 + 4*S[5, -1, -1, Infinity] + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (47*S[-1, Infinity]^2*S[2, Infinity])/8 - (279*S[2, Infinity]^2)/80 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/4 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((2*S[-1, Infinity]^5)/15 - 
     (4*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (469*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     16*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, 2, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (5773*S[2, Infinity]^4)/28000 + ((11*S[-1, Infinity]^2)/16 - 
     (9*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/6 - 4*S[-1, Infinity]*S[2, Infinity] - 
     (1305*S[3, Infinity])/512)*S[5, Infinity] + 
   (10001*S[-1, Infinity]*S[7, Infinity])/512 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 2*S[-1, Infinity]*
    (3*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/80 - 
     (63*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - 18*S[-5, -1, Infinity] - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (99520*S[-7, -1, Infinity] + 7881*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] - 
     15360*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/240 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/20 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2) - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 - 
     (21*S[2, Infinity]*S[5, Infinity])/64 + (771*S[7, Infinity])/64 + 
     2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     2*(3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/2 - (309*S[2, Infinity]^2)/320 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/5 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       6*S[-1, 1, 1, 1, 1, Infinity])), S[1, 2, 2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (131121*S[2, Infinity]^4)/56000 + 
   ((129*S[-1, Infinity]^2)/32 - (9*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - 9*S[-1, Infinity]*S[2, Infinity] + 
     (3337*S[3, Infinity])/256)*S[5, Infinity] + 
   (635*S[-1, Infinity]*S[7, Infinity])/32 - 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity]) + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/40 - 
     (36*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - 30*S[-5, -1, Infinity] - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) - 
   (3*(-25120*S[-7, -1, Infinity] - 2459*S[5, 3, Infinity] - 
      5120*S[-5, -1, 1, 1, Infinity] + 2560*S[-1, 1, 1, 1, Infinity]^2))/
    1280 + S[3, Infinity]*((3*S[-1, Infinity]^5)/20 - 
     (S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/4 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 17*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (369*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (49*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((31*S[-1, Infinity]^2)/4 + (759*S[2, Infinity])/32)*S[5, Infinity] - 
     (571*S[7, Infinity])/32 + 4*(S[-5, 1, 1, Infinity] - 
       S[5, -1, -1, Infinity]) + S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (177*S[2, Infinity]^2)/160 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((3*S[-1, Infinity]^5)/20 - 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       12*S[-1, 1, 1, 1, 1, Infinity])), S[1, 2, 2, 2, 1, Infinity] -> 
  (-24*S[2, Infinity]^4)/25 + 4*S[3, Infinity]*S[5, Infinity] + 
   2*S[1, Infinity]*S[7, Infinity], S[1, -2, -2, -1, -2, Infinity] -> 
  (5*S[-1, Infinity]^8)/288 + (21*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (412033*S[2, Infinity]^4)/112000 + 
   ((-45*S[-1, Infinity]^2)/32 - (543*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((1177*S[-1, Infinity]*S[2, Infinity])/32 + (6315*S[3, Infinity])/512)*
    S[5, Infinity] - 5*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/40 + 
     (26*S[-1, 1, 1, 1, Infinity])/5) + 
   (8640*S[-7, -1, Infinity] + 12059*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] + 
     25600*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[1, Infinity]*((4*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (141*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (115*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (11797*S[2, Infinity]*S[5, Infinity])/448 - (25885*S[7, Infinity])/
      1792 - (23*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (23*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-23*S[-1, Infinity]^4)/48 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/8 + (6707*S[2, Infinity]^2)/
        1120 + (23*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-2*S[-1, Infinity]^5)/5 + 16*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 32*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/8 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (693*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     15*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/40 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (49*S[-5, -1, Infinity] - 
       24*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, -2, -2, -1, 2, Infinity] -> S[-1, Infinity]^8/144 + 
   (32*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (82867*S[2, Infinity]^4)/
    78400 + ((191*S[-1, Infinity]^2)/32 + (13315*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (773*S[-1, Infinity]*S[2, Infinity])/64 - (26921*S[3, Infinity])/1792)*
    S[5, Infinity] - (59553*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 89*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((293*S[-1, Infinity]^4)/1680 + 
     (197*S[-1, 1, 1, 1, Infinity])/70) + 
   (-36928*S[-7, -1, Infinity] - 12703*S[5, 3, Infinity] - 
     13824*S[-5, -1, -1, -1, Infinity] + 3072*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-733*S[-1, Infinity]^5)/1680 + 
     (439*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, Infinity]/7) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (323*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (269*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/4 - (10203*S[2, Infinity])/448)*
      S[5, Infinity] + (93221*S[7, Infinity])/1792 + 
     (38*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(5*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] - 
       (5899*S[2, Infinity]^2)/1120 - 4*S[-1, 1, 1, 1, Infinity]) + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(29*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, -2, -2, 1, -2, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 - (7773*S[2, Infinity]^4)/9800 + 
   ((-25*S[-1, Infinity]^2)/56 - (1485*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]*S[2, Infinity])/112 + 
     (1987*S[3, Infinity])/448)*S[5, Infinity] - 
   (3135*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (10*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/8 - 
     (253*S[2, Infinity]^2*S[3, Infinity])/1120 - 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (653*S[2, Infinity]*S[5, Infinity])/448 - (5167*S[7, Infinity])/1792 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (-6080*S[-7, -1, Infinity] + 1643*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*(-S[-1, Infinity]^4/168 + 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*(S[-1, Infinity]^5/84 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -2, 1, 2, Infinity] -> 
  (10139*S[2, Infinity]^4)/11200 + (125*S[2, Infinity]*S[3, Infinity]^2)/
    128 - (1641*S[3, Infinity]*S[5, Infinity])/256 + 
   S[1, Infinity]*((127*S[2, Infinity]^2*S[3, Infinity])/320 + 
     (323*S[2, Infinity]*S[5, Infinity])/128 - (593*S[7, Infinity])/128) - 
   (451*S[5, 3, Infinity])/512, S[1, -2, 2, -1, -2, Infinity] -> 
  (577*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (704439*S[2, Infinity]^4)/
    196000 + ((53*S[-1, Infinity]^2)/8 - (14289*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (129*S[-1, Infinity]*S[2, Infinity])/16 + (16469*S[3, Infinity])/448)*
    S[5, Infinity] - (11847*S[-1, Infinity]*S[7, Infinity])/896 - 
   6*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(37*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (162240*S[-7, -1, Infinity] + 44853*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((137*S[-1, Infinity]^4)/840 + 
     (38*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (45*S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     ((-7*S[-1, Infinity]^2*S[2, Infinity])/8 - (177*S[2, Infinity]^2)/1120)*
      S[3, Infinity] - (535*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/4 + (2725*S[2, Infinity])/224)*S[5, Infinity] - 
     (33147*S[7, Infinity])/1792 - (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-457*S[-1, Infinity]^5)/1680 + 
     (443*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (107*S[-1, Infinity]*S[2, Infinity]^2)/10 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (177*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-261*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -2, 2, -1, 2, Infinity] -> S[-1, Infinity]^8/288 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (66431*S[2, Infinity]^4)/22400 + 
   ((101*S[-1, Infinity]^2)/32 + (1083*S[2, Infinity])/128)*
    S[3, Infinity]^2 + (-30*S[-1, Infinity]*S[2, Infinity] - 
     (4441*S[3, Infinity])/512)*S[5, Infinity] + 
   5*S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    ((-11*S[-1, Infinity]^4)/48 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-1728*S[-7, -1, Infinity] - 3511*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/60 - 
     (2429*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (711*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (3*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     (17831*S[2, Infinity]*S[5, Infinity])/448 - (56841*S[7, Infinity])/
      1792 - (19*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (19*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/24 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (177*S[2, Infinity]^2)/112 - 
       5*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((4*S[-1, Infinity]^5)/15 - 12*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 28*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/360 - 21*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, -2, 2, 1, -2, Infinity] -> 
  (5*S[-1, Infinity]^8)/288 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 - 
   (119363*S[2, Infinity]^4)/112000 + 
   ((7*S[-1, Infinity]^2)/32 + (39*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]*S[2, Infinity])/64 + (1149*S[3, Infinity])/128)*
    S[5, Infinity] - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   3*S[2, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (809*S[5, 3, Infinity] + 6400*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*((2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/10 + 
     (73*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (1889*S[2, Infinity]*S[5, Infinity])/128 - (9981*S[7, Infinity])/256 - 
     4*S[-1, Infinity]*S[-5, -1, Infinity] - 
     4*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/48 + 
       (27*S[-1, Infinity]^2*S[2, Infinity])/8 + (737*S[2, Infinity]^2)/160 + 
       (13*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((-2*S[-1, Infinity]^5)/15 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/80 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     17*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/72 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, -2, 2, 1, 2, Infinity] -> S[-1, Infinity]^8/288 + 
   (373*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1062507*S[2, Infinity]^4)/784000 + 
   ((729*S[-1, Infinity]^2)/112 + (2465*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1237*S[-1, Infinity]*S[2, Infinity])/896 + 
     (29233*S[3, Infinity])/3584)*S[5, Infinity] - 
   (62763*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((409*S[-1, Infinity]^4)/1680 + 
     (221*S[-1, 1, 1, 1, Infinity])/70) + 
   (-72640*S[-7, -1, Infinity] - 16503*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-247*S[-1, Infinity]^5)/560 + 
     (177*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5127*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (865*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (3895*S[2, Infinity]*S[5, Infinity])/896 - (111*S[7, Infinity])/28 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (9*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/8 - (68*S[2, Infinity]^2)/35 - 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/15 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/72 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-339*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 2, -2, -1, -2, Infinity] -> -S[-1, Infinity]^8/48 - 
   (851*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (3124769*S[2, Infinity]^4)/784000 + 
   ((-13*S[-1, Infinity]^2)/4 - (1789*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (439*S[-1, Infinity]*S[2, Infinity])/16 + 
     (16379*S[3, Infinity])/1792)*S[5, Infinity] + 
   (119883*S[-1, Infinity]*S[7, Infinity])/1792 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 75*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-311*S[-1, Infinity]^4)/840 - 
     (494*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (960320*S[-7, -1, Infinity] + 
     123363*S[5, 3, Infinity] + 25600*S[-5, -1, -1, -1, Infinity] + 
     189440*S[-5, -1, 1, 1, Infinity] - 215040*S[-1, 1, 1, 1, Infinity]^2)/
    17920 + S[3, Infinity]*((1153*S[-1, Infinity]^5)/1680 - 
     (249*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (317*S[-1, Infinity]*S[2, Infinity]^2)/40 - 18*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (107*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (751*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (277*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/4 + (42307*S[2, Infinity])/896)*S[5, Infinity] - 
     (72581*S[7, Infinity])/1792 - (18*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*(5*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (2053*S[2, Infinity]^2)/
        1120 - 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((17*S[-1, Infinity]^5)/60 - 12*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 26*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/45 - 7*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-1569*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 2, -2, -1, 2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (444431*S[2, Infinity]^4)/
    112000 + ((-83*S[-1, Infinity]^2)/32 - (11*S[2, Infinity])/16)*
    S[3, Infinity]^2 + (18*S[-1, Infinity]*S[2, Infinity] - 
     (331*S[3, Infinity])/16)*S[5, Infinity] - 3*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/240 - 
     (3*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-240*S[-7, -1, Infinity] + 197*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (409*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((-7*S[-1, Infinity]^2*S[2, Infinity])/4 - (513*S[2, Infinity]^2)/560)*
      S[3, Infinity] - (47*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (7265*S[2, Infinity]*S[5, Infinity])/448 + (23651*S[7, Infinity])/896 + 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (29*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/30 - 
     (S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/20 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (55*S[-5, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[1, 2, -2, 1, -2, Infinity] -> 
  (-5*S[-1, Infinity]^8)/288 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 + 
   (58083*S[2, Infinity]^4)/56000 + ((-7*S[-1, Infinity]^2)/32 + 
     (23*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]*S[2, Infinity])/64 - (5765*S[3, Infinity])/512)*
    S[5, Infinity] + (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   3*S[2, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   (-1051*S[5, 3, Infinity] - 12800*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/80 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     17*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/10 - 
     (73*S[-1, Infinity]*S[3, Infinity]^2)/16 - 
     (273*S[2, Infinity]*S[5, Infinity])/32 + (8371*S[7, Infinity])/256 + 
     4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     4*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/48 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/8 - (837*S[2, Infinity]^2)/160 - 
       (13*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((2*S[-1, Infinity]^5)/15 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-5*S[-5, -1, Infinity] + 
       32*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[1, 2, -2, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/288 - (481*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (8159*S[2, Infinity]^4)/3920 + ((-909*S[-1, Infinity]^2)/112 - 
     (5893*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((1381*S[-1, Infinity]*S[2, Infinity])/896 - (36189*S[3, Infinity])/3584)*
    S[5, Infinity] + (40407*S[-1, Infinity]*S[7, Infinity])/896 + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/336 - 
     (37*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (1856*S[-7, -1, Infinity] + 1299*S[5, 3, Infinity] + 
     2368*S[-5, -1, -1, -1, Infinity] - 2368*S[-5, -1, 1, 1, Infinity] - 
     896*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (703*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (829*S[2, Infinity]*S[5, Infinity])/896 - (22217*S[7, Infinity])/1792 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (9*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/8 + (369*S[2, Infinity]^2)/112 + 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/15 + 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((271*S[-1, Infinity]^5)/560 - (201*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (6549*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/72 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (627*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 2, 2, -1, -2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (187771*S[2, Infinity]^4)/
    56000 + ((27*S[-1, Infinity]^2)/32 + (237*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-381*S[-1, Infinity]*S[2, Infinity])/16 + 
     (271*S[3, Infinity])/64)*S[5, Infinity] + 3*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/20 - 
     (17*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (15*S[-7, -1, Infinity] - 44*S[5, 3, Infinity] - 
     240*S[-5, -1, -1, -1, Infinity] + 240*S[-5, -1, 1, 1, Infinity] - 
     240*S[-1, 1, 1, 1, Infinity]^2)/40 + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/40 - (3*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (471*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     9*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (23*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     (367*S[2, Infinity]*S[5, Infinity])/224 + (62217*S[7, Infinity])/3584 + 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (13*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/48 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/8 - (4203*S[2, Infinity]^2)/
        1120 - (13*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(S[-1, Infinity]^5/10 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-67*S[-5, -1, Infinity] + 
       48*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[1, 2, 2, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/72 + (9*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (5763237*S[2, Infinity]^4)/784000 + 
   ((-299*S[-1, Infinity]^2)/32 - (4857*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (991*S[-1, Infinity]*S[2, Infinity])/32 - (17363*S[3, Infinity])/896)*
    S[5, Infinity] + (32499*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-51*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity]))/
    7 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/336 + 
     (143*S[-1, 1, 1, 1, Infinity])/14) + 
   (-56520*S[-7, -1, Infinity] - 379*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (3363*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (543*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/4 - (3933*S[2, Infinity])/112)*S[5, Infinity] + 
     (14859*S[7, Infinity])/1792 - (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (2*(19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/4 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/2 + (971*S[2, Infinity]^2)/1120 + 
       6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/20 + 14*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 28*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/1680 - 
     (45*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (87*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (141*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/20 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2773*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 2, 2, 1, -2, Infinity] -> (69*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (299717*S[2, Infinity]^4)/98000 + 
   ((115*S[-1, Infinity]^2)/56 + (1671*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-23*S[-1, Infinity]*S[2, Infinity])/112 - 
     (57569*S[3, Infinity])/3584)*S[5, Infinity] + 
   (10173*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (46*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((-23*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (1713*S[2, Infinity]^2*S[3, Infinity])/2240 + 
     (207*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (9901*S[2, Infinity]*S[5, Infinity])/896 + (55011*S[7, Infinity])/3584 + 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (23*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (116320*S[-7, -1, Infinity] - 38671*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/840 - 
     (23*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/420 + (23*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (1817*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 2, 1, 2, Infinity] -> 
  (-688*S[2, Infinity]^4)/175 - 4*S[2, Infinity]*S[3, Infinity]^2 + 
   (51*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((-21*S[2, Infinity]^2*S[3, Infinity])/10 - 
     (11*S[2, Infinity]*S[5, Infinity])/2 + (291*S[7, Infinity])/16) + 
   4*S[5, 3, Infinity], S[1, -2, -1, -3, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/576 - (331*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (104431*S[2, Infinity]^4)/78400 + 
   ((761*S[-1, Infinity]^2)/448 + (4089*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/48 - 
     (19181*S[-1, Infinity]*S[2, Infinity])/896 - (89225*S[3, Infinity])/
      3584)*S[5, Infinity] + (131*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((299*S[-1, Infinity]^4)/1680 + 
     (113*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    ((-5*S[-1, Infinity]^6)/48 + (114*S[-5, -1, Infinity])/7 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-9756*S[-7, -1, Infinity] - 2183*S[5, 3, Infinity] - 
     1872*S[-5, -1, -1, -1, Infinity] - 1040*S[-5, -1, 1, 1, Infinity] + 
     1120*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (237*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/16 - (3789*S[2, Infinity])/448)*
      S[5, Infinity] + (1551*S[7, Infinity])/112 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-39*S[-5, 1, 1, Infinity] + 59*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (29*S[2, Infinity]^2)/56 + 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/4 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/168 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3523*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -1, -3, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 + (501*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (673189*S[2, Infinity]^4)/392000 + 
   ((649*S[-1, Infinity]^2)/448 - (5857*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/12 + 
     (2637*S[-1, Infinity]*S[2, Infinity])/224 + (116551*S[3, Infinity])/
      3584)*S[5, Infinity] + (31751*S[-1, Infinity]*S[7, Infinity])/896 - 
   (177*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((9*S[-1, Infinity]^4)/140 - 
     (159*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (377*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (682240*S[-7, -1, Infinity] + 134753*S[5, 3, Infinity] + 
     105600*S[-5, -1, -1, -1, Infinity] + 73600*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (259*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (257*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((31*S[-1, Infinity]^2)/4 + (2461*S[2, Infinity])/224)*S[5, Infinity] - 
     (19343*S[7, Infinity])/896 - (19*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 - (3*(11*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/4 + (1167*S[2, Infinity]^2)/
        560 + (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((55*S[-1, Infinity]^5)/672 + (19*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (3379*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (115*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -1, 3, -1, Infinity] -> 
  -S[-1, Infinity]^8/96 + (7163*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2976041*S[2, Infinity]^4)/784000 + 
   ((639*S[-1, Infinity]^2)/448 - (18749*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (28925*S[-1, Infinity]*S[2, Infinity])/896 + (52425*S[3, Infinity])/896)*
    S[5, Infinity] + (2195*S[-1, Infinity]*S[7, Infinity])/112 - 
   (397*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 87*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-541*S[-1, Infinity]^4)/6720 - 
     (1979*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - (601*S[-5, -1, Infinity])/14 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1007040*S[-7, -1, Infinity] + 228091*S[5, 3, Infinity] + 
     177280*S[-5, -1, -1, -1, Infinity] + 118400*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (249*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (2091*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((155*S[-1, Infinity]^2)/16 + (1821*S[2, Infinity])/112)*
      S[5, Infinity] - (45733*S[7, Infinity])/1792 + 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (3111*S[2, Infinity]^2)/2240 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/4 - 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/224 + 
     (593*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (40463*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (185*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -1, 3, 1, Infinity] -> 
  (31*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (41*S[2, Infinity]^4)/140 + 
   ((9*S[-1, Infinity]^2)/64 + (41*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (-3*S[-1, Infinity]*S[2, Infinity] + (723*S[3, Infinity])/128)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-6912*S[-7, -1, Infinity] + 425*S[5, 3, Infinity] - 
     512*S[-5, -1, -1, -1, Infinity] + 512*S[-5, -1, 1, 1, Infinity])/512 + 
   S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/240 + 
     (61*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    (-S[-1, Infinity]^5/480 + (S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (239*S[-1, Infinity]*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, 1, Infinity]/
      4) + S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (593*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (4463*S[2, Infinity]*S[5, Infinity])/896 - (10613*S[7, Infinity])/1792 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (11*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/3 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (2409*S[2, Infinity]^2)/
        1120 - 8*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/40 + 3*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -2, 1, -3, -1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (111*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (30379*S[2, Infinity]^4)/39200 + ((-143*S[-1, Infinity]^2)/112 - 
     (619*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 + (1227*S[-1, Infinity]*S[2, Infinity])/224 - 
     (4497*S[3, Infinity])/3584)*S[5, Infinity] + 
   (24293*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-277*S[-1, Infinity]^4)/3360 - 
     (353*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (17*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (54016*S[-7, -1, Infinity] + 10915*S[5, 3, Infinity] + 
     11264*S[-5, -1, -1, -1, Infinity] - 512*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (33*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (183*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/16 - (879*S[2, Infinity])/224)*S[5, Infinity] + 
     (4957*S[7, Infinity])/448 + (33*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (47*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (49*S[-1, Infinity]^2*S[2, Infinity])/16 - (2771*S[2, Infinity]^2)/
        2240 - (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/8 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((83*S[-1, Infinity]^5)/560 - (151*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (19*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, 1, -3, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 + (41*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (18713*S[2, Infinity]^4)/56000 + (233*S[3, Infinity]*S[5, Infinity])/256 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-101*S[-1, Infinity]^4)/480 + 
     (41*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (S[-1, Infinity]^6/24 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (459*S[5, 3, Infinity] - 2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/240 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (287*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2) - 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/4 - 
     (165*S[2, Infinity]*S[5, Infinity])/32 + (6303*S[7, Infinity])/256 + 
     3*S[-1, Infinity]*S[-5, -1, Infinity] + 
     3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/32 - 
       (63*S[-1, Infinity]^2*S[2, Infinity])/16 - (263*S[2, Infinity]^2)/80 - 
       (21*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/5 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       6*S[-1, 1, 1, 1, 1, Infinity])), S[1, -2, 1, 3, -1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (12751*S[2, Infinity]^4)/
    28000 + (-S[-1, Infinity]^2/32 + (31*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 - 
     (143*S[-1, Infinity]*S[2, Infinity])/32 - (343*S[3, Infinity])/512)*
    S[5, Infinity] + (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (-1600*S[-7, -1, Infinity] - 499*S[5, 3, Infinity] - 
     480*S[-5, -1, -1, -1, Infinity] + 160*S[-5, -1, 1, 1, Infinity])/320 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/240 - S[-1, 1, 1, 1, Infinity]/10) + 
   S[3, Infinity]*(S[-1, Infinity]^5/160 - (S[-1, Infinity]^3*S[2, Infinity])/
      16 - (537*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4) + S[1, Infinity]*
    ((S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (S[-1, Infinity]*S[2, Infinity]^3)/2 + 
     ((21*S[-1, Infinity]^2*S[2, Infinity])/16 + S[2, Infinity]^2/160)*
      S[3, Infinity] + (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-31*S[-1, Infinity]^2)/16 + (59*S[2, Infinity])/128)*S[5, Infinity] + 
     (409*S[7, Infinity])/128 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 + 3*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -2, 1, 3, 1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (6599*S[2, Infinity]^4)/112000 + 
   ((5*S[-1, Infinity]^2)/8 - (115*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 - (31*S[-1, Infinity]*S[2, Infinity])/32 + 
     (445*S[3, Infinity])/256)*S[5, Infinity] + 
   (127*S[-1, Infinity]*S[7, Infinity])/16 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (7*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (3*S[2, Infinity]^2*S[3, Infinity])/16 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     (79*S[2, Infinity]*S[5, Infinity])/32 - (607*S[7, Infinity])/128 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity])/2) - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   (12160*S[-7, -1, Infinity] + 2071*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(S[-1, Infinity]^4/120 - 
     S[-1, 1, 1, 1, Infinity]/5) + S[3, Infinity]*(-S[-1, Infinity]^5/60 + 
     (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (161*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, -1, -3, -1, Infinity] -> 
  S[-1, Infinity]^8/96 - (6691*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2935041*S[2, Infinity]^4)/784000 + 
   ((3*S[-1, Infinity]^2)/4 + (1159*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/16 - (3561*S[-1, Infinity]*S[2, Infinity])/128 - 
     (1623*S[3, Infinity])/28)*S[5, Infinity] - 
   (128249*S[-1, Infinity]*S[7, Infinity])/3584 + 
   12*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (5*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((451*S[-1, Infinity]^4)/6720 + 
     (2069*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/8 + (611*S[-5, -1, Infinity])/14 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-253040*S[-7, -1, Infinity] - 55939*S[5, 3, Infinity] - 
     43520*S[-5, -1, -1, -1, Infinity] - 30400*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (249*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (73*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-155*S[-1, Infinity]^2)/16 - (6969*S[2, Infinity])/448)*
      S[5, Infinity] + (44739*S[7, Infinity])/1792 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (367*S[2, Infinity]^2)/280 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/4 + 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/672 - 
     (319*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (143*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (190*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -1, -3, 1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (5*S[-1, Infinity]^2*S[2, Infinity]^3)/2 - 
   (3791*S[2, Infinity]^4)/1600 + ((-107*S[-1, Infinity]^2)/64 - 
     (139*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (3*S[-1, Infinity]*S[2, Infinity] - (35*S[3, Infinity])/32)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/40 - (99*S[-1, 1, 1, 1, Infinity])/
      10) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + 2*S[-5, -1, Infinity] - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (432*S[-7, -1, Infinity] + 51*S[5, 3, Infinity] + 
     32*S[-5, -1, -1, -1, Infinity] - 32*S[-5, -1, 1, 1, Infinity] - 
     96*S[-1, 1, 1, 1, Infinity]^2)/32 + S[1, Infinity]*
    ((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (789*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (1833*S[2, Infinity]*S[5, Infinity])/224 - (38771*S[7, Infinity])/3584 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (39*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-23*S[-1, Infinity]^4)/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (4383*S[2, Infinity]^2)/1120 + 
       (23*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/8 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/80 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (27*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, -1, 3, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 + (2783*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (45981*S[2, Infinity]^4)/22400 + ((-35*S[-1, Infinity]^2)/32 - 
     (235*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/48 + (2153*S[-1, Infinity]*S[2, Infinity])/128 + 
     (899*S[3, Infinity])/32)*S[5, Infinity] - 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/12 - (5*S[-1, 1, 1, 1, Infinity])/
      2) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - 21*S[-5, -1, Infinity] - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (22016*S[-7, -1, Infinity] + 4045*S[5, 3, Infinity] + 
     3072*S[-5, -1, -1, -1, Infinity] + 3584*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (1007*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((31*S[-1, Infinity]^2)/16 + (751*S[2, Infinity])/112)*S[5, Infinity] - 
     (19821*S[7, Infinity])/1792 + (22*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (22*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (9*S[2, Infinity]^2)/28 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/4 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/60 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (1017*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     14*S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, -1, 3, 1, Infinity] -> 
  S[-1, Infinity]^8/576 - (171*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (531733*S[2, Infinity]^4)/196000 + 
   ((-1535*S[-1, Infinity]^2)/448 + (12431*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/12 - 
     (2627*S[-1, Infinity]*S[2, Infinity])/224 - (143355*S[3, Infinity])/
      3584)*S[5, Infinity] - (14659*S[-1, Infinity]*S[7, Infinity])/448 + 
   (187*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/420 + 
     (181*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/48 + (397*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-1384960*S[-7, -1, Infinity] - 307739*S[5, 3, Infinity] - 
     198400*S[-5, -1, -1, -1, Infinity] - 160000*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (127*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (67*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-31*S[-1, Infinity]^2)/4 - (2205*S[2, Infinity])/128)*S[5, Infinity] + 
     (5545*S[7, Infinity])/256 + S[-1, Infinity]*S[-5, -1, Infinity] + 
     2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (31*S[-1, Infinity]^2*S[2, Infinity])/16 - (23*S[2, Infinity]^2)/20 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/40 - 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/1680 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (21801*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (451*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, 2, 1, -3, -1, Infinity] -> 
  S[-1, Infinity]^8/576 - (229*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (416953*S[2, Infinity]^4)/196000 + 
   ((285*S[-1, Infinity]^2)/448 + (365*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 - 
     (2305*S[-1, Infinity]*S[2, Infinity])/224 + (8857*S[3, Infinity])/1792)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((563*S[-1, Infinity]^4)/3360 - 
     (353*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (33*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-10560*S[-7, -1, Infinity] + 1307*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (297*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (75*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((31*S[-1, Infinity]^2)/16 + (573*S[2, Infinity])/56)*S[5, Infinity] - 
     (21341*S[7, Infinity])/896 - (15*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (-15*S[-5, 1, 1, Infinity] - 22*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 
       (63*S[-1, Infinity]^2*S[2, Infinity])/16 + (4169*S[2, Infinity]^2)/
        1120 + (21*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/420 + (13*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (583*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 1, -3, 1, Infinity] -> 
  S[-1, Infinity]^8/96 + (1221*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (131403*S[2, Infinity]^4)/392000 + 
   ((503*S[-1, Infinity]^2)/112 + (1223*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 + 
     (171*S[-1, Infinity]*S[2, Infinity])/224 + (1111*S[3, Infinity])/112)*
    S[5, Infinity] - (47809*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/672 + 
     (193*S[-1, 1, 1, 1, Infinity])/28) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 - (43*S[-5, -1, Infinity])/14 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-16560*S[-7, -1, Infinity] - 3569*S[5, 3, Infinity] - 
     9600*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[1, Infinity]*(S[-1, Infinity]^3*S[2, Infinity]^2 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (271*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (1795*S[2, Infinity]*S[5, Infinity])/224 + (5127*S[7, Infinity])/1792 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/16 - (193*S[2, Infinity]^2)/
        140 - (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/5 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-201*S[-1, Infinity]^5)/560 + 
     (407*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (7893*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 2, 1, 3, -1, Infinity] -> 
  (-27*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (1930367*S[2, Infinity]^4)/
    784000 + ((-135*S[-1, Infinity]^2)/64 - (25*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (301*S[-1, Infinity]*S[2, Infinity])/32 - (47041*S[3, Infinity])/3584)*
    S[5, Infinity] + (23647*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (139*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    14 + (-51680*S[-7, -1, Infinity] - 8137*S[5, 3, Infinity] + 
     10880*S[-5, -1, -1, -1, Infinity] - 37760*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/1680 + 
     (59*S[-1, 1, 1, 1, Infinity])/70) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (251*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-21*S[-1, Infinity]^2*S[2, Infinity])/16 - (43*S[2, Infinity]^2)/280)*
      S[3, Infinity] + (417*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-31*S[-1, Infinity]^2)/16 - (1741*S[2, Infinity])/896)*
      S[5, Infinity] - (8639*S[7, Infinity])/3584 - 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-33*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity])/14 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((187*S[-1, Infinity]^5)/3360 - 
     (187*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (261*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (187*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, 2, 1, 3, 1, Infinity] -> 
  (-318*S[2, Infinity]^4)/875 + (S[3, Infinity]*S[5, Infinity])/2 + 
   S[1, Infinity]*(-(S[2, Infinity]^2*S[3, Infinity])/2 + 
     (67*S[7, Infinity])/16) - (17*S[5, 3, Infinity])/10, 
 S[1, -2, -1, -2, -2, Infinity] -> (-7*S[-1, Infinity]^8)/288 - 
   (213*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (615747*S[2, Infinity]^4)/112000 + 
   ((63*S[-1, Infinity]^2)/32 + (1797*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-4145*S[-1, Infinity]*S[2, Infinity])/64 - (3695*S[3, Infinity])/256)*
    S[5, Infinity] + 7*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((-137*S[-1, Infinity]^4)/320 - 
     (269*S[-1, 1, 1, 1, Infinity])/40) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-22720*S[-7, -1, Infinity] - 11131*S[5, 3, Infinity] - 
     35840*S[-5, -1, -1, -1, Infinity] + 35840*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/40 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (1239*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     21*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (261*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (155*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     (8781*S[2, Infinity]*S[5, Infinity])/448 + (8943*S[7, Infinity])/448 + 
     (31*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (31*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((31*S[-1, Infinity]^4)/48 - 
       (31*S[-1, Infinity]^2*S[2, Infinity])/8 - (16327*S[2, Infinity]^2)/
        2240 - (31*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/20 - 14*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 28*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((9*S[-1, Infinity]^6)/40 - 41*S[-5, -1, Infinity] - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, -2, -1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (33*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (190373*S[2, Infinity]^4)/196000 + 
   ((-117*S[-1, Infinity]^2)/32 - (26647*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (4281*S[-1, Infinity]*S[2, Infinity])/128 + (33097*S[3, Infinity])/1792)*
    S[5, Infinity] + (26127*S[-1, Infinity]*S[7, Infinity])/896 - 
   6*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 51*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-271*S[-1, Infinity]^4)/1344 - 
     (177*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (193920*S[-7, -1, Infinity] + 51369*S[5, 3, Infinity] + 
     65280*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (629*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (10*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((31*S[-1, Infinity]^2)/4 + (43*S[2, Infinity])/448)*S[5, Infinity] - 
     (8241*S[7, Infinity])/896 + (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (4*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/48 - 
       (31*S[-1, Infinity]^2*S[2, Infinity])/8 + (5991*S[2, Infinity]^2)/
        2240 + (11*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/20 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((611*S[-1, Infinity]^5)/1680 - 
     (317*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (233*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (62*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/60 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (79*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -2, -1, 2, -2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (1657*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (226469*S[2, Infinity]^4)/49000 + 
   ((-45*S[-1, Infinity]^2)/32 - (7349*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (219*S[-1, Infinity]*S[2, Infinity])/16 + (109685*S[3, Infinity])/3584)*
    S[5, Infinity] + (146739*S[-1, Infinity]*S[7, Infinity])/3584 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-23*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((269*S[-1, Infinity]^4)/6720 - 
     (1949*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (493*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (180480*S[-7, -1, Infinity] + 46847*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (43*S[-1, Infinity]*S[2, Infinity]^3)/8 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((31*S[-1, Infinity]^2)/4 + (4287*S[2, Infinity])/128)*S[5, Infinity] - 
     (7709*S[7, Infinity])/128 - 8*S[-1, Infinity]*S[-5, -1, Infinity] - 
     4*(S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (47*S[-1, Infinity]^2*S[2, Infinity])/8 + (973*S[2, Infinity]^2)/320 + 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/4 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((583*S[-1, Infinity]^5)/1680 - 
     (289*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (76*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -1, 2, 2, Infinity] -> 
  S[-1, Infinity]^8/288 + (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (339243*S[2, Infinity]^4)/112000 + 
   ((-9*S[-1, Infinity]^2)/32 + (45*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (6*S[-1, Infinity]*S[2, Infinity] - (109*S[3, Infinity])/16)*
    S[5, Infinity] - S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   3*S[2, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + (11*S[-5, -1, Infinity])/2 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-7520*S[-7, -1, Infinity] - 1443*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (1181*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (507*S[2, Infinity]*S[5, Infinity])/112 - (69113*S[7, Infinity])/3584 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (3429*S[2, Infinity]^2)/
        1120 + (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/20 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 12*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/40 + (S[-1, Infinity]^3*S[2, Infinity])/
      4 + (177*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[1, -2, 1, -2, -2, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (26627*S[2, Infinity]^4)/
    392000 + ((-25*S[-1, Infinity]^2)/56 - (995*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]*S[2, Infinity])/112 - 
     (107*S[3, Infinity])/896)*S[5, Infinity] + 
   (2433*S[-1, Infinity]*S[7, Infinity])/896 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (10*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((S[-1, Infinity]*S[2, Infinity]^3)/8 + 
     (155*S[2, Infinity]^2*S[3, Infinity])/448 - 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (25*S[2, Infinity]*S[5, Infinity])/14 - (2305*S[7, Infinity])/448 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (-5120*S[-7, -1, Infinity] + 1843*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(-S[-1, Infinity]^4/168 + 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*(S[-1, Infinity]^5/84 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, 1, -2, 2, Infinity] -> 
  S[-1, Infinity]^8/288 + (S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (641*S[2, Infinity]^4)/112000 + (25*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   (495*S[3, Infinity]*S[5, Infinity])/256 + S[2, Infinity]^2*
    ((7*S[-1, Infinity]^4)/60 + S[-1, 1, 1, 1, Infinity]/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + 
   (-33*S[5, 3, Infinity] + 1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*(S[-1, Infinity]^3*S[2, Infinity]^2 + 
     ((21*S[-1, Infinity]^2*S[2, Infinity])/8 + (19*S[2, Infinity]^2)/320)*
      S[3, Infinity] - (269*S[2, Infinity]*S[5, Infinity])/64 - 
     (311*S[7, Infinity])/128 + S[2, Infinity]*(-S[-1, Infinity]^5/5 + 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       6*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/240 + (7*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2), S[1, -2, 1, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/288 - (S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (4789*S[2, Infinity]^4)/112000 - (151*S[2, Infinity]*S[3, Infinity]^2)/
    128 + ((93*S[-1, Infinity]*S[2, Infinity])/64 + (243*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/60 - 
     S[-1, 1, 1, 1, Infinity]/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (3*S[-5, -1, Infinity])/4 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-407*S[5, 3, Infinity] - 1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/240 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2) + 
     ((-21*S[-1, Infinity]^2*S[2, Infinity])/8 + (43*S[2, Infinity]^2)/64)*
      S[3, Infinity] - (135*S[2, Infinity]*S[5, Infinity])/128 + 
     (335*S[7, Infinity])/32 + S[2, Infinity]*(S[-1, Infinity]^5/5 - 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       6*S[-1, 1, 1, 1, 1, Infinity])), S[1, -2, 1, 2, 2, Infinity] -> 
  (69*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (43889*S[2, Infinity]^4)/
    156800 + ((115*S[-1, Infinity]^2)/56 + (4829*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-835*S[-1, Infinity]*S[2, Infinity])/896 - 
     (667*S[3, Infinity])/896)*S[5, Infinity] - 
   (32499*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (389*S[2, Infinity]*S[-5, -1, Infinity])/56 - 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*((-23*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (713*S[2, Infinity]^2*S[3, Infinity])/448 + 
     (207*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (7409*S[2, Infinity]*S[5, Infinity])/896 + (70019*S[7, Infinity])/3584 + 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (23*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) + 
   (25024*S[-7, -1, Infinity] - 5499*S[5, 3, Infinity] - 
     11776*S[-5, -1, -1, -1, Infinity] + 11776*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/840 - 
     (23*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/420 + (23*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (1817*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -1, -2, -2, Infinity] -> 
  S[-1, Infinity]^8/72 + (323*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (2513971*S[2, Infinity]^4)/392000 + 
   ((5*S[-1, Infinity]^2)/32 + (6761*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (221*S[-1, Infinity]*S[2, Infinity])/16 - 
     (58787*S[3, Infinity])/1792)*S[5, Infinity] - 
   (51477*S[-1, Infinity]*S[7, Infinity])/1792 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 65*S[5, -1, -1, Infinity]))/
    7 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/448 + 
     (471*S[-1, 1, 1, 1, Infinity])/56) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 + (605*S[-5, -1, Infinity])/28 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-737600*S[-7, -1, Infinity] - 199589*S[5, 3, Infinity] - 
     81920*S[-5, -1, -1, -1, Infinity] - 133120*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (187*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (67*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-31*S[-1, Infinity]^2)/4 - (4663*S[2, Infinity])/128)*S[5, Infinity] + 
     (4531*S[7, Infinity])/128 + 4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     8*S[5, -1, -1, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (17*S[2, Infinity]^2)/160 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/20 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 12*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-125*S[-1, Infinity]^5)/336 + 
     (331*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (55*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -1, -2, 2, Infinity] -> 
  S[-1, Infinity]^8/96 + (39*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (65679*S[2, Infinity]^4)/56000 + ((107*S[-1, Infinity]^2)/32 + 
     (71*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (-6*S[-1, Infinity]*S[2, Infinity] + (2027*S[3, Infinity])/256)*
    S[5, Infinity] + S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/240 + 
     (37*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 - (11*S[-5, -1, Infinity])/2 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (7520*S[-7, -1, Infinity] - 287*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (1377*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (849*S[2, Infinity]*S[5, Infinity])/448 + (11957*S[7, Infinity])/1792 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (9*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/2 - (73*S[2, Infinity]^2)/560 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/4 + 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/40 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (73*S[-1, Infinity]*S[2, Infinity]^2)/20 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 2, -1, 2, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (4831*S[2, Infinity]^4)/2240 + ((-161*S[-1, Infinity]^2)/32 - 
     (127*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((3959*S[-1, Infinity]*S[2, Infinity])/64 + (351*S[3, Infinity])/16)*
    S[5, Infinity] - 7*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((39*S[-1, Infinity]^4)/320 + 
     (83*S[-1, 1, 1, 1, Infinity])/40) + 
   (4544*S[-7, -1, Infinity] + 4533*S[5, 3, Infinity] + 
     7168*S[-5, -1, -1, -1, Infinity] - 7168*S[-5, -1, 1, 1, Infinity] + 
     3072*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (1501*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (1951*S[2, Infinity]*S[5, Infinity])/224 - (995*S[7, Infinity])/112 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (17*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/2 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/4 + (445*S[2, Infinity]^2)/112 + 
       12*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/20 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/40 - (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1827*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     14*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (79*S[-5, -1, Infinity] - 
       48*S[-1, 1, 1, 1, 1, 1, Infinity])/2), S[1, 2, -1, 2, 2, Infinity] -> 
  (-401*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1584279*S[2, Infinity]^4)/784000 + 
   ((157*S[-1, Infinity]^2)/32 + (6961*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (4111*S[-1, Infinity]*S[2, Infinity])/128 - (38221*S[3, Infinity])/1792)*
    S[5, Infinity] - (40407*S[-1, Infinity]*S[7, Infinity])/896 + 
   5*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 65*S[5, -1, -1, Infinity]))/
    7 + (-396800*S[-7, -1, Infinity] - 119251*S[5, 3, Infinity] - 
     148480*S[-5, -1, -1, -1, Infinity] + 40960*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((557*S[-1, Infinity]^4)/6720 + 
     (3*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    ((-569*S[-1, Infinity]^5)/1680 + (275*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (1159*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (83*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (237*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (57*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/4 - (205*S[2, Infinity])/112)*S[5, Infinity] + 
     (32447*S[7, Infinity])/896 + (20*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (8*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/8 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/4 - (6163*S[2, Infinity]^2)/
        1120 - 9*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/4 - 10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       20*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (-S[-1, Infinity]^6/30 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(83*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, 2, 1, -2, -2, Infinity] -> (45489*S[2, Infinity]^4)/112000 - 
   (225*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((465*S[-1, Infinity]*S[2, Infinity])/64 + (593*S[3, Infinity])/256)*
    S[5, Infinity] + S[1, Infinity]*((-231*S[2, Infinity]^2*S[3, Infinity])/
      320 - (53*S[2, Infinity]*S[5, Infinity])/64 + 
     (1537*S[7, Infinity])/256) + (15*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   (5283*S[5, 3, Infinity])/2560, S[1, 2, 1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/96 - (447*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (20887*S[2, Infinity]^4)/156800 + ((-713*S[-1, Infinity]^2)/112 - 
     (4493*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-2959*S[-1, Infinity]*S[2, Infinity])/896 - (60437*S[3, Infinity])/3584)*
    S[5, Infinity] + (72813*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/105 - 
     (299*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 + (487*S[-5, -1, Infinity])/56 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (3392*S[-7, -1, Infinity] + 6575*S[5, 3, Infinity] + 
     9472*S[-5, -1, -1, -1, Infinity] - 9472*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((229*S[-1, Infinity]^5)/560 - 
     (491*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (12331*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (197*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2) + 
     (37*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (1039*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (18609*S[2, Infinity]*S[5, Infinity])/896 - (31027*S[7, Infinity])/896 - 
     (37*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (37*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/24 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (2503*S[2, Infinity]^2)/560 + 
       7*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/5 - 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       6*S[-1, 1, 1, 1, 1, Infinity])), S[1, 2, 1, 2, -2, Infinity] -> 
  S[-1, Infinity]^8/96 + (393*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (113861*S[2, Infinity]^4)/156800 + 
   ((533*S[-1, Infinity]^2)/112 + (331*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-19*S[-1, Infinity]*S[2, Infinity])/112 + 
     (29327*S[3, Infinity])/1792)*S[5, Infinity] - 
   (41427*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/420 + (317*S[-1, 1, 1, 1, Infinity])/
      35) + S[2, Infinity]*(-S[-1, Infinity]^6/8 - (38*S[-5, -1, Infinity])/
      7 + 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-7552*S[-7, -1, Infinity] + 1369*S[5, 3, Infinity] - 
     9728*S[-5, -1, -1, -1, Infinity] + 9728*S[-5, -1, 1, 1, Infinity] + 
     21504*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[1, Infinity]*(S[-1, Infinity]^3*S[2, Infinity]^2 - 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (1201*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (10693*S[2, Infinity]*S[5, Infinity])/896 + (24627*S[7, Infinity])/
      1792 + (19*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (19*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/24 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 - (123*S[2, Infinity]^2)/28 - 
       7*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/5 + 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       6*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-41*S[-1, Infinity]^5)/112 + (419*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (10909*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (125*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 2, 1, 2, 2, Infinity] -> 
  (708*S[2, Infinity]^4)/875 + 2*S[2, Infinity]*S[3, Infinity]^2 - 
   11*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((7*S[2, Infinity]^2*S[3, Infinity])/5 + 
     (9*S[2, Infinity]*S[5, Infinity])/2 - (75*S[7, Infinity])/8) - 
   (13*S[5, 3, Infinity])/10, S[1, -2, -1, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/576 + (43*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (2093957*S[2, Infinity]^4)/2352000 + 
   ((171*S[-1, Infinity]^2)/224 - (391*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((33*S[-1, Infinity]*S[2, Infinity])/7 + 
     (14379*S[3, Infinity])/1792)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/560 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + (57*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-115040*S[-7, -1, Infinity] + 41*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((-2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (71*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     ((9*S[-1, Infinity]^2*S[2, Infinity])/8 + (123*S[2, Infinity]^2)/35)*
      S[3, Infinity] - (981*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((155*S[-1, Infinity]^2)/16 + (5339*S[2, Infinity])/224)*
      S[5, Infinity] - (52275*S[7, Infinity])/896 + 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (27*S[-5, 1, 1, Infinity] - 113*S[5, -1, -1, Infinity])/14 + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-127*S[-1, Infinity]^5)/1120 + 
     (113*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (1677*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, -1, -1, 3, Infinity] -> 
  (-3791*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (4066409*S[2, Infinity]^4)/1176000 + 
   ((317*S[-1, Infinity]^2)/56 + (9885*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (7341*S[-1, Infinity]*S[2, Infinity])/224 + (7137*S[3, Infinity])/1792)*
    S[5, Infinity] - (8497*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (13*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity]))/
    14 + (-122560*S[-7, -1, Infinity] - 24887*S[5, 3, Infinity] - 
     30080*S[-5, -1, -1, -1, Infinity] + 3200*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/2240 + 
     (93*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    ((-17*S[-1, Infinity]^5)/840 + (13*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (8873*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (37*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (3343*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((9*S[-1, Infinity]^2*S[2, Infinity])/8 + (5791*S[2, Infinity]^2)/2240)*
      S[3, Infinity] - (1593*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((279*S[-1, Infinity]^2)/16 + (4273*S[2, Infinity])/112)*
      S[5, Infinity] - (96053*S[7, Infinity])/1792 - 
     (30*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(20*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/7 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + 4*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -2, -1, 1, -3, Infinity] -> -S[-1, Infinity]^8/144 - 
   (3177*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (41413*S[2, Infinity]^4)/336000 + ((-201*S[-1, Infinity]^2)/112 + 
     (1041*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 - (1599*S[-1, Infinity]*S[2, Infinity])/112 - 
     (7503*S[3, Infinity])/512)*S[5, Infinity] + 
   (4735*S[-1, Infinity]*S[7, Infinity])/896 + 
   (99*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/40 - (9*S[-1, 1, 1, 1, Infinity])/
      5) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (59*S[-5, -1, Infinity])/8 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-14560*S[-7, -1, Infinity] - 3157*S[5, 3, Infinity] - 
     1600*S[-5, -1, -1, -1, Infinity] - 2240*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/24 - 
     (49*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (18027*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (35*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/7 - 
     (597*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((217*S[-1, Infinity]^2)/32 + (8973*S[2, Infinity])/896)*
      S[5, Infinity] - (9505*S[7, Infinity])/896 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (55*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 - 
       (29*S[-1, Infinity]^2*S[2, Infinity])/16 + (2741*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((13*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -2, -1, 1, 3, Infinity] -> -S[-1, Infinity]^8/576 + 
   (437*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (205337*S[2, Infinity]^4)/2352000 + 
   ((-225*S[-1, Infinity]^2)/896 - (1377*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((75*S[-1, Infinity]*S[2, Infinity])/14 + 
     (41749*S[3, Infinity])/3584)*S[5, Infinity] - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/1120 + 
     (57*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (247*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-47520*S[-7, -1, Infinity] + 9413*S[5, 3, Infinity] + 
     8000*S[-5, -1, -1, -1, Infinity] - 8000*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (36*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (295*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((155*S[-1, Infinity]^2)/32 + (3993*S[2, Infinity])/896)*
      S[5, Infinity] - (2385*S[7, Infinity])/448 + 
     (59*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (59*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((17*S[-1, Infinity]^4)/96 - 
       (29*S[-1, Infinity]^2*S[2, Infinity])/16 - (3491*S[2, Infinity]^2)/
        2240 - (17*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((2*S[-1, Infinity]^5)/15 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/3360 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (6833*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, -2, 1, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/288 + (2613*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (974899*S[2, Infinity]^4)/1176000 + 
   ((99*S[-1, Infinity]^2)/448 + (675*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/16 + 
     (1705*S[-1, Infinity]*S[2, Infinity])/112 + (747*S[3, Infinity])/1792)*
    S[5, Infinity] - (311*S[-1, Infinity]*S[7, Infinity])/14 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((221*S[-1, Infinity]^4)/3360 + 
     (199*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (37*S[-5, -1, Infinity])/56 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (30720*S[-7, -1, Infinity] - 4821*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (1901*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (913*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-341*S[-1, Infinity]^2)/32 - (1395*S[2, Infinity])/56)*
      S[5, Infinity] + (35263*S[7, Infinity])/896 + 
     (45*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-39*S[-5, 1, 1, Infinity] + 115*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (1289*S[2, Infinity]^2)/448 - 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-201*S[-1, Infinity]^5)/1120 + (407*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (2383*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, -2, 1, -1, 3, Infinity] -> 
  S[-1, Infinity]^8/576 - (409*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (209*S[2, Infinity]^4)/47040 + ((99*S[-1, Infinity]^2)/896 + 
     (17*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((-33*S[-1, Infinity]*S[2, Infinity])/14 - (19167*S[3, Infinity])/3584)*
    S[5, Infinity] + (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((15*S[-1, Infinity]^4)/224 - 
     (3*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (135*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (27264*S[-7, -1, Infinity] - 2979*S[5, 3, Infinity] - 
     2816*S[-5, -1, -1, -1, Infinity] + 2816*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (16*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-155*S[-1, Infinity]^2)/32 - (1541*S[2, Infinity])/112)*
      S[5, Infinity] + (15359*S[7, Infinity])/896 - 
     (43*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-43*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (509*S[2, Infinity]^2)/448 + 
       (13*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-13*S[-1, Infinity]^5)/120 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/560 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (2031*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, -2, 1, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/288 + (S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (56941*S[2, Infinity]^4)/168000 + 
   ((21*S[-1, Infinity]^2)/64 + (131*S[2, Infinity])/128)*S[3, Infinity]^2 - 
   (137*S[3, Infinity]*S[5, Infinity])/64 + S[2, Infinity]^2*
    ((7*S[-1, Infinity]^4)/60 + S[-1, 1, 1, 1, Infinity]/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-339*S[5, 3, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     (207*S[2, Infinity]*S[5, Infinity])/64 - (3217*S[7, Infinity])/256 - 
     S[-1, Infinity]*S[-5, -1, Infinity] - S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 + (91*S[2, Infinity]^2)/80 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/10 + 
       3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/240 + (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4), S[1, -2, 1, 1, 3, Infinity] -> 
  S[-1, Infinity]^8/576 + (403*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1033769*S[2, Infinity]^4)/1176000 + 
   ((295*S[-1, Infinity]^2)/224 - (507*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]*S[2, Infinity])/224 + 
     (19065*S[3, Infinity])/3584)*S[5, Infinity] - 
   (4831*S[-1, Infinity]*S[7, Infinity])/448 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[1, Infinity]*((9*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (375*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (433*S[2, Infinity]*S[5, Infinity])/448 - (3195*S[7, Infinity])/1792 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (9*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (1203*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/4)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((97*S[-1, Infinity]^4)/6720 + 
     (323*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (5*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-74880*S[-7, -1, Infinity] + 507*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-349*S[-1, Infinity]^5)/3360 + 
     (209*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (699*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, Infinity]/28), S[1, 2, -1, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/192 + (2529*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2249419*S[2, Infinity]^4)/1176000 + 
   ((-65*S[-1, Infinity]^2)/56 - (127*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (7299*S[-1, Infinity]*S[2, Infinity])/224 + 
     (11777*S[3, Infinity])/1792)*S[5, Infinity] - 
   (90911*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (85*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 101*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((379*S[-1, Infinity]^4)/3360 + 
     (251*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - (71*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (203680*S[-7, -1, Infinity] + 34199*S[5, 3, Infinity] + 
     33280*S[-5, -1, -1, -1, Infinity] + 20480*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (3343*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (36*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-279*S[-1, Infinity]^2)/16 - (2343*S[2, Infinity])/56)*
      S[5, Infinity] + (106245*S[7, Infinity])/1792 + 
     (30*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(20*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/32 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/16 - (4537*S[2, Infinity]^2)/
        1120 - (9*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-919*S[-1, Infinity]^5)/3360 + 
     (625*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (4383*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -1, -1, 3, Infinity] -> 
  (-437*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1259821*S[2, Infinity]^4)/588000 + 
   ((-195*S[-1, Infinity]^2)/448 + (157*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-33*S[-1, Infinity]*S[2, Infinity])/7 - 
     (5391*S[3, Infinity])/1792)*S[5, Infinity] + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (57*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (115040*S[-7, -1, Infinity] + 15443*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((43*S[-1, Infinity]^4)/1680 - 
     (43*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((31*S[-1, Infinity]^5)/420 - (31*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (863*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (62*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (289*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (345*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-155*S[-1, Infinity]^2)/16 - (2343*S[2, Infinity])/224)*
      S[5, Infinity] + (121579*S[7, Infinity])/3584 - 
     (69*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-69*S[-5, 1, 1, Infinity] + 71*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (1493*S[2, Infinity]^2)/
        1120 + 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/15 + 8*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 2, -1, 1, -3, Infinity] -> (-17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 + (7102*S[2, Infinity]^4)/18375 + 
   (S[-1, Infinity]^2/896 + (439*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-33*S[-1, Infinity]*S[2, Infinity])/14 - (27399*S[3, Infinity])/3584)*
    S[5, Infinity] + (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (93*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (93760*S[-7, -1, Infinity] - 14419*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/560 + 
     (129*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (S[-1, Infinity]^5/672 - (25*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (267*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((13*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (319*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (401*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-155*S[-1, Infinity]^2)/32 - (3223*S[2, Infinity])/224)*
      S[5, Infinity] + (65061*S[7, Infinity])/1792 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-5, 1, 1, Infinity] + 36*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 + 
       (27*S[-1, Infinity]^2*S[2, Infinity])/16 - (2797*S[2, Infinity]^2)/
        1120 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-19*S[-1, Infinity]^5)/120 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 2, -1, 1, 3, Infinity] -> S[-1, Infinity]^8/576 + 
   (759*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1104671*S[2, Infinity]^4)/336000 + 
   ((-2423*S[-1, Infinity]^2)/448 - (1783*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (985*S[-1, Infinity]*S[2, Infinity])/56 - (459*S[3, Infinity])/256)*
    S[5, Infinity] + (7519*S[-1, Infinity]*S[7, Infinity])/224 - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/960 - 
     S[-1, 1, 1, 1, Infinity]/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + (23*S[-5, -1, Infinity])/8 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (64000*S[-7, -1, Infinity] + 17171*S[5, 3, Infinity] + 
     21760*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (183*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (1839*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-217*S[-1, Infinity]^2)/32 - (10151*S[2, Infinity])/896)*
      S[5, Infinity] + (4909*S[7, Infinity])/1792 - 
     (4*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-32*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 + (491*S[2, Infinity]^2)/560 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/12 + 
       3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       5*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/10 - (5*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (883*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4), S[1, 2, 1, -1, -3, Infinity] -> 
  -S[-1, Infinity]^8/192 + (167*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1012987*S[2, Infinity]^4)/1176000 + 
   ((-267*S[-1, Infinity]^2)/896 + (513*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-9*S[-1, Infinity]*S[2, Infinity])/14 - 
     (5137*S[3, Infinity])/3584)*S[5, Infinity] + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/336 + 
     (13*S[-1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (S[-1, Infinity]^6/16 - (19*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-40000*S[-7, -1, Infinity] - 20301*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (197*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (1173*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((155*S[-1, Infinity]^2)/32 - (247*S[2, Infinity])/448)*S[5, Infinity] - 
     (75*S[7, Infinity])/56 + (33*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (33*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/24 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (121*S[2, Infinity]^2)/
        112 - 5*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/30 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((247*S[-1, Infinity]^5)/3360 - 
     (121*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (661*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 1, -1, 3, Infinity] -> 
  -S[-1, Infinity]^8/144 - (907*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (381173*S[2, Infinity]^4)/1176000 + 
   ((-403*S[-1, Infinity]^2)/224 - (2215*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/16 - 
     (1017*S[-1, Infinity]*S[2, Infinity])/56 - (7227*S[3, Infinity])/3584)*
    S[5, Infinity] + (70979*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (26*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-463*S[-1, Infinity]^4)/6720 - 
     (1217*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (135*S[-5, -1, Infinity])/56 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (14080*S[-7, -1, Infinity] + 16497*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((289*S[-1, Infinity]^5)/840 - 
     (46*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (11569*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (53*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (1231*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (473*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((341*S[-1, Infinity]^2)/32 + (28825*S[2, Infinity])/896)*
      S[5, Infinity] - (73379*S[7, Infinity])/1792 - 
     (18*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (24*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (967*S[2, Infinity]^2)/560 + 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 2, 1, 1, -3, Infinity] -> -S[-1, Infinity]^8/192 - 
   (393*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (4853*S[2, Infinity]^4)/23520 + ((-533*S[-1, Infinity]^2)/224 - 
     (331*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((19*S[-1, Infinity]*S[2, Infinity])/224 - (20591*S[3, Infinity])/3584)*
    S[5, Infinity] + (60985*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/840 - (317*S[-1, 1, 1, 1, Infinity])/
      70) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + (19*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (13632*S[-7, -1, Infinity] + 5283*S[5, 3, Infinity] + 
     4864*S[-5, -1, -1, -1, Infinity] - 4864*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/224 - 
     (419*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (10909*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (125*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (1201*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (3151*S[2, Infinity]*S[5, Infinity])/448 - (36569*S[7, Infinity])/3584 - 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (19*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (363*S[2, Infinity]^2)/280 + 
       (7*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/10 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity])), S[1, 2, 1, 1, 3, Infinity] -> 
  (-22*S[2, Infinity]^4)/75 - S[2, Infinity]*S[3, Infinity]^2 - 
   (S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((S[2, Infinity]^2*S[3, Infinity])/2 - 3*S[2, Infinity]*S[5, Infinity] + 
     (109*S[7, Infinity])/16) - (3*S[5, 3, Infinity])/2, 
 S[1, -1, -4, -1, -1, Infinity] -> S[-1, Infinity]^8/576 + 
   (1103*S[-1, Infinity]^2*S[2, Infinity]^3)/210 + 
   (123439*S[2, Infinity]^4)/156800 + 
   ((-1217*S[-1, Infinity]^2)/896 - (16559*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (26083*S[-1, Infinity]*S[2, Infinity])/448 + (61603*S[3, Infinity])/
      1792)*S[5, Infinity] - (159*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (4589*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((-9*S[-1, Infinity]^2*S[2, Infinity])/4 - (515*S[2, Infinity]^2)/224)*
      S[3, Infinity] + (1081*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-341*S[-1, Infinity]^2)/32 - (4957*S[2, Infinity])/224)*
      S[5, Infinity] + (32071*S[7, Infinity])/896 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-74*S[-5, 1, 1, Infinity] + 115*S[5, -1, -1, Infinity])/14) + 
   S[2, Infinity]^2*((-1087*S[-1, Infinity]^4)/1120 - 
     (309*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/48 - (1017*S[-5, -1, Infinity])/28 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (52968*S[-7, -1, Infinity] + 10839*S[5, 3, Infinity] + 
     9056*S[-5, -1, -1, -1, Infinity] + 4832*S[-5, -1, 1, 1, Infinity] + 
     448*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((-151*S[-1, Infinity]^5)/840 + 
     (793*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (11149*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (151*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, -4, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/288 + (205*S[-1, Infinity]^2*S[2, Infinity]^3)/42 + 
   (36151*S[2, Infinity]^4)/39200 + ((-347*S[-1, Infinity]^2)/224 - 
     (13089*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((306*S[-1, Infinity]*S[2, Infinity])/7 + (53971*S[3, Infinity])/1792)*
    S[5, Infinity] - (239*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-647*S[-1, Infinity]^4)/1120 + 
     (51*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (885*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (165376*S[-7, -1, Infinity] + 32183*S[5, 3, Infinity] + 
     26112*S[-5, -1, -1, -1, Infinity] + 16896*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (4253*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (761*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-837*S[-1, Infinity]^2)/64 - (10999*S[2, Infinity])/448)*
      S[5, Infinity] + (32071*S[7, Infinity])/896 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-74*S[-5, 1, 1, Infinity] + 115*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/16 - (1713*S[2, Infinity]^2)/2240 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/24 + 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/70 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (16941*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (132*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, -4, 1, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/576 - (38*S[-1, Infinity]^2*S[2, Infinity]^3)/105 + 
   (2008081*S[2, Infinity]^4)/784000 + 
   ((311*S[-1, Infinity]^2)/128 + (797*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (9*S[-1, Infinity]*S[2, Infinity])/16 - (30909*S[3, Infinity])/1792)*
    S[5, Infinity] - (22599*S[-1, Infinity]*S[7, Infinity])/1792 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity]))/
    14 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((2647*S[-1, Infinity]^4)/3360 + 
     (713*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/16 + (369*S[-5, -1, Infinity])/28 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-218560*S[-7, -1, Infinity] - 42801*S[5, 3, Infinity] - 
     24960*S[-5, -1, -1, -1, Infinity] - 42240*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (1091*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (353*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-155*S[-1, Infinity]^2)/64 - (5017*S[2, Infinity])/448)*
      S[5, Infinity] + (9637*S[7, Infinity])/448 + 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (18*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 - (4349*S[2, Infinity]^2)/
        2240 - 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/24 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-179*S[-1, Infinity]^5)/840 + 
     (12*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (219*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, -4, 1, 1, Infinity] -> 
  (-67*S[-1, Infinity]^2*S[2, Infinity]^3)/120 - 
   (60427*S[2, Infinity]^4)/49000 + ((17*S[-1, Infinity]^2)/112 + 
     (29*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 + (885*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1535*S[3, Infinity])/1792)*S[5, Infinity] - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (41*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]*((47*S[-1, Infinity]*S[2, Infinity]^3)/210 - 
     (221*S[2, Infinity]^2*S[3, Infinity])/140 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (437*S[2, Infinity]*S[5, Infinity])/224 + (15949*S[7, Infinity])/1792 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-5*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity])/14) + 
   (24800*S[-7, -1, Infinity] + 5883*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 800*S[-5, -1, 1, 1, Infinity])/2240 + 
   S[2, Infinity]^2*((173*S[-1, Infinity]^4)/1680 - 
     (173*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (-S[-1, Infinity]^5/168 + (5*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (131*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 4, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (22297*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (781059*S[2, Infinity]^4)/784000 + 
   ((89*S[-1, Infinity]^2)/56 + (8583*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-403*S[-1, Infinity]^3)/192 - (30909*S[-1, Infinity]*S[2, Infinity])/
      448 - (32955*S[3, Infinity])/896)*S[5, Infinity] + 
   (3439*S[-1, Infinity]*S[7, Infinity])/128 + 
   (181*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (901*S[-1, Infinity]*S[2, Infinity]^3)/240 + 
     ((9*S[-1, Infinity]^2*S[2, Infinity])/4 + (783*S[2, Infinity]^2)/280)*
      S[3, Infinity] - (1461*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((31*S[-1, Infinity]^2)/2 + (907*S[2, Infinity])/28)*S[5, Infinity] - 
     (47679*S[7, Infinity])/896 + (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (4*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7) - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((769*S[-1, Infinity]^4)/840 - 
     (34*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + (459*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-241760*S[-7, -1, Infinity] - 51209*S[5, 3, Infinity] - 
     44480*S[-5, -1, -1, -1, Infinity] - 20480*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((1247*S[-1, Infinity]^5)/3360 - 
     (571*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (47981*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (128*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 4, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (5921*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (302031*S[2, Infinity]^4)/392000 + 
   ((249*S[-1, Infinity]^2)/224 + (5687*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (8707*S[-1, Infinity]*S[2, Infinity])/224 - (5573*S[3, Infinity])/224)*
    S[5, Infinity] + (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((1633*S[-1, Infinity]^4)/3360 - 
     (163*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (216*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-849280*S[-7, -1, Infinity] - 178513*S[5, 3, Infinity] - 
     130560*S[-5, -1, -1, -1, Infinity] - 84480*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/120 - 
     (325*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((651*S[-1, Infinity]^2)/64 + (8121*S[2, Infinity])/448)*
      S[5, Infinity] - (11803*S[7, Infinity])/448 + 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (43*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (181*S[2, Infinity]^2)/280 - 
       (13*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/12 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/70 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (618*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (132*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 4, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/192 + (527*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (185329*S[2, Infinity]^4)/392000 + 
   ((-587*S[-1, Infinity]^2)/224 - (4111*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (60*S[-1, Infinity]*S[2, Infinity])/7 + (21117*S[3, Infinity])/1792)*
    S[5, Infinity] + (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-729*S[-1, Infinity]^4)/1120 + 
     (87*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (30*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (133760*S[-7, -1, Infinity] + 29493*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] + 14720*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (67*S[-1, Infinity]*S[2, Infinity]^3)/168 + 
     (1543*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-155*S[-1, Infinity]^2)/64 + (1735*S[2, Infinity])/448)*
      S[5, Infinity] - (8797*S[7, Infinity])/896 - 
     (65*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (15*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (2349*S[2, Infinity]^2)/
        1120 + (13*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/12 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/840 - (10*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (797*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 4, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/240 - 
   (369653*S[2, Infinity]^4)/392000 + 
   ((73*S[-1, Infinity]^2)/28 + (1811*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/64 - (5301*S[-1, Infinity]*S[2, Infinity])/448 + 
     (5885*S[3, Infinity])/1792)*S[5, Infinity] + 
   (26137*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((209*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     (1023*S[2, Infinity]^2*S[3, Infinity])/1120 - 
     (631*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((93*S[-1, Infinity]^2)/32 + (1039*S[2, Infinity])/112)*S[5, Infinity] - 
     (61325*S[7, Infinity])/3584 - (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (17*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity])/14) - 
   (S[-1, Infinity]*(47*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/3360 - 
     (137*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - (65*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (37760*S[-7, -1, Infinity] + 393*S[5, 3, Infinity] - 
     9600*S[-5, -1, -1, -1, Infinity] + 16320*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/3360 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (981*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (51*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -4, -1, -1, Infinity] -> 
  (-977*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (897593*S[2, Infinity]^4)/1176000 + 
   ((61*S[-1, Infinity]^2)/64 + (1783*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/24 - (131*S[-1, Infinity]*S[2, Infinity])/32 - 
     (20423*S[3, Infinity])/1792)*S[5, Infinity] - 
   (22599*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (271*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
     (1381*S[2, Infinity]^3)/3360 + (9*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (57*S[3, Infinity]^2)/64 + 
     (155*S[-1, Infinity]*S[5, Infinity])/64 + 2*S[-5, -1, Infinity]) - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]*((-141*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     ((-3*S[-1, Infinity]^2*S[2, Infinity])/2 - (317*S[2, Infinity]^2)/280)*
      S[3, Infinity] + (403*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-155*S[-1, Infinity]^2)/32 - (5017*S[2, Infinity])/448)*
      S[5, Infinity] + (9637*S[7, Infinity])/448 - 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (18*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity])/14) + 
   (-208480*S[-7, -1, Infinity] - 50487*S[5, 3, Infinity] - 
     38400*S[-5, -1, -1, -1, Infinity] - 19840*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/1680 + 
     (31*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((31*S[-1, Infinity]^5)/840 - (31*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -4, -1, 1, Infinity] -> 
  (-99*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (34379*S[2, Infinity]^4)/
    168000 + (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   ((-31*S[-1, Infinity]^3)/64 - (93*S[-1, Infinity]*S[2, Infinity])/64 - 
     (1937*S[3, Infinity])/256)*S[5, Infinity] + 
   5*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-3520*S[-7, -1, Infinity] + 169*S[5, 3, Infinity] - 
     1920*S[-5, -1, 1, 1, Infinity])/1280 + S[1, Infinity]^2*
    ((-7*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (59*S[2, Infinity]^3)/840 - 
     S[3, Infinity]^2/2 + (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/16 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((67*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-93*S[-1, Infinity]^2)/64 - (1525*S[2, Infinity])/448)*
      S[5, Infinity] + (15949*S[7, Infinity])/1792 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-5*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (261*S[2, Infinity]^2)/560 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (39*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -4, 1, -1, Infinity] -> 
  (117*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (21971*S[2, Infinity]^4)/
    168000 + ((15*S[-1, Infinity]^2)/16 + S[2, Infinity]/4)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (93*S[-1, Infinity]*S[2, Infinity])/64 + (573*S[3, Infinity])/128)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (33*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (17920*S[-7, -1, Infinity] + 1671*S[5, 3, Infinity] + 
     3840*S[-5, -1, 1, 1, Infinity])/1280 + 
   S[1, Infinity]*((3*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((93*S[-1, Infinity]^2)/64 + (3*S[2, Infinity])/64)*S[5, Infinity] + 
     (467*S[7, Infinity])/256 + (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (3*S[-5, 1, 1, Infinity])/2 + S[3, Infinity]*(S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (15*S[2, Infinity]^2)/16 - 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/20 + (6*S[-1, 1, 1, 1, Infinity])/5) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (115*S[2, Infinity]^3)/336 + (3*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/4 + (3*S[3, Infinity]^2)/16 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/
      2 + (33*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -4, 1, 1, Infinity] -> 
  (17921*S[2, Infinity]^4)/168000 - (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/32 + (39*S[3, Infinity])/32)*
    S[5, Infinity] + S[1, Infinity]^2*((113*S[2, Infinity]^3)/1680 - 
     (5*S[3, Infinity]^2)/16 + (93*S[-1, Infinity]*S[5, Infinity])/64 + 
     (3*S[-5, -1, Infinity])/4) + (3*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (339*S[5, 3, Infinity])/1280 + S[1, Infinity]*
    ((-7*S[2, Infinity]^2*S[3, Infinity])/40 + 
     (3*S[2, Infinity]*S[5, Infinity])/64 + (467*S[7, Infinity])/256 + 
     (3*S[-5, 1, 1, Infinity])/2), S[1, 1, 4, -1, -1, Infinity] -> 
  (223*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (194693*S[2, Infinity]^4)/
    147000 + ((33*S[-1, Infinity]^2)/448 - (2427*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 + 
     (887*S[-1, Infinity]*S[2, Infinity])/224 + (47135*S[3, Infinity])/3584)*
    S[5, Infinity] + S[1, Infinity]^2*((3*S[-1, Infinity]^2*S[2, Infinity]^2)/
      8 - (11*S[2, Infinity]^3)/84 - (9*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (53*S[3, Infinity]^2)/128 - 
     (3*S[-5, -1, Infinity])/4) - (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/
    14 - (349*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]*((607*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/2 + (1443*S[2, Infinity]^2)/1120)*
      S[3, Infinity] - (85*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((155*S[-1, Infinity]^2)/32 + (1039*S[2, Infinity])/112)*
      S[5, Infinity] - (61325*S[7, Infinity])/3584 + 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (17*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity])/14) + 
   (388800*S[-7, -1, Infinity] + 77087*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((9*S[-1, Infinity]^4)/280 - 
     (27*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/140 + (9*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (5499*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 4, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/576 + (4*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (13331*S[2, Infinity]^4)/21000 + ((-123*S[-1, Infinity]^2)/56 - 
     (57*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/64 + (1595*S[-1, Infinity]*S[2, Infinity])/448 + 
     (689*S[3, Infinity])/256)*S[5, Infinity] - 
   (26137*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]*((23*S[-1, Infinity]*S[2, Infinity]^3)/28 - 
     (445*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((217*S[-1, Infinity]^2)/64 + (1193*S[2, Infinity])/224)*
      S[5, Infinity] - (8797*S[7, Infinity])/896 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (15*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 + (43*S[2, Infinity]^2)/280 + 
       S[-1, 1, 1, 1, Infinity]/4)) + S[1, Infinity]^2*
    ((5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (607*S[2, Infinity]^3)/
      1680 + (15*S[3, Infinity]^2)/16 - (155*S[-1, Infinity]*S[5, Infinity])/
      64 - 2*S[-5, -1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^4/48 + 
       S[-1, 1, 1, 1, Infinity]/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/80 + (9*S[-1, 1, 1, 1, Infinity])/
      5) + S[2, Infinity]*(-S[-1, Infinity]^6/48 + 5*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-15040*S[-7, -1, Infinity] + 407*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/32 + (S[-1, Infinity]^3*S[2, Infinity])/
      48 - (913*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 4, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (73*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (393593*S[2, Infinity]^4)/588000 + 
   ((-177*S[-1, Infinity]^2)/56 + (32*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((279*S[-1, Infinity]^3)/64 - (2825*S[-1, Infinity]*S[2, Infinity])/448 - 
     (43097*S[3, Infinity])/3584)*S[5, Infinity] - 
   (20887*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-26*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]^2*((-5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (149*S[2, Infinity]^3)/336 - (3*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/4 + (49*S[3, Infinity]^2)/128 - 
     (93*S[-1, Infinity]*S[5, Infinity])/64 - (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]/2)) + 
   S[1, Infinity]*((-353*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (1121*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-217*S[-1, Infinity]^2)/64 - (881*S[2, Infinity])/224)*
      S[5, Infinity] + (7223*S[7, Infinity])/1792 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-26*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 - (687*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/4)) + 
   S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/560 - 
     (3*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (431*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-767680*S[-7, -1, Infinity] - 110637*S[5, 3, Infinity] - 
     52480*S[-5, -1, -1, -1, Infinity] - 108800*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((39*S[-1, Infinity]^5)/224 - 
     (487*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (20737*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (85*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 4, 1, 1, Infinity] -> 
  (4273*S[2, Infinity]^4)/2100 - (5*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   S[1, Infinity]^2*((89*S[2, Infinity]^3)/420 - S[3, Infinity]^2/4) - 
   (15*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((23*S[2, Infinity]^2*S[3, Infinity])/10 - (61*S[7, Infinity])/8) - 
   (3*S[5, 3, Infinity])/2, S[1, -1, -3, -2, -1, Infinity] -> 
  (7*S[-1, Infinity]^8)/576 - (673*S[-1, Infinity]^2*S[2, Infinity]^3)/420 - 
   (1828083*S[2, Infinity]^4)/784000 + 
   ((-1453*S[-1, Infinity]^2)/448 + (79*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/48 - 
     (1051*S[-1, Infinity]*S[2, Infinity])/56 + (14207*S[3, Infinity])/1792)*
    S[5, Infinity] + (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-1387*S[-1, Infinity]^4)/3360 + 
     (337*S[-1, 1, 1, 1, Infinity])/140) + 
   (-219360*S[-7, -1, Infinity] - 43467*S[5, 3, Infinity] - 
     46720*S[-5, -1, -1, -1, Infinity] + 1920*S[-5, -1, 1, 1, Infinity] + 
     62720*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (3743*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (1457*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-93*S[-1, Infinity]^2)/32 + (1415*S[2, Infinity])/112)*
      S[5, Infinity] - (26055*S[7, Infinity])/896 - 
     (125*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-55*S[-5, 1, 1, Infinity] - 83*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-31*S[-1, Infinity]^4)/96 + 
       (85*S[-1, Infinity]^2*S[2, Infinity])/16 + (2897*S[2, Infinity]^2)/
        560 + (31*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/24 + 7*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/3360 - (295*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (2239*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + (79*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, -3, -2, 1, Infinity] -> (709*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (71861*S[2, Infinity]^4)/112000 + 
   ((603*S[-1, Infinity]^2)/128 + (119*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-713*S[-1, Infinity]^3)/192 - (373*S[-1, Infinity]*S[2, Infinity])/32 + 
     (41*S[3, Infinity])/128)*S[5, Infinity] + 
   (351*S[-1, Infinity]*S[7, Infinity])/256 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (55*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]))/
    2 + (17920*S[-7, -1, Infinity] - 2049*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((7*S[-1, Infinity]^4)/160 - 
     (21*S[-1, 1, 1, 1, Infinity])/20) + S[1, Infinity]*
    ((1063*S[-1, Infinity]*S[2, Infinity]^3)/840 - 
     (363*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((155*S[-1, Infinity]^2)/32 + (1919*S[2, Infinity])/112)*
      S[5, Infinity] - (54567*S[7, Infinity])/1792 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (3*(12*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 + (961*S[2, Infinity]^2)/448 + 
       (5*S[-1, 1, 1, 1, Infinity])/4)) + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/480 + (43*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (677*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/4), S[1, -1, -3, 2, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/576 - (6989*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (1626561*S[2, Infinity]^4)/784000 + 
   ((85*S[-1, Infinity]^2)/448 + (1465*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/64 - 
     (9399*S[-1, Infinity]*S[2, Infinity])/448 + (30237*S[3, Infinity])/3584)*
    S[5, Infinity] + (135857*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 89*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/420 - 
     (523*S[-1, 1, 1, 1, Infinity])/70) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (527680*S[-7, -1, Infinity] + 9537*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 140800*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (743*S[-1, Infinity]*S[2, Infinity]^3)/240 - 
     (547*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((155*S[-1, Infinity]^2)/16 + (2761*S[2, Infinity])/112)*
      S[5, Infinity] - (77545*S[7, Infinity])/1792 - 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (2*(6*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/4 + (913*S[2, Infinity]^2)/224 + 
       (7*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/24 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((251*S[-1, Infinity]^5)/560 - 
     (1037*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/7 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (227*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/80 - (503*S[-5, -1, Infinity])/28 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, -3, 2, 1, Infinity] -> (617*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (31349*S[2, Infinity]^4)/39200 + 
   ((-85*S[-1, Infinity]^2)/448 + (1891*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/96 - 
     (1073*S[-1, Infinity]*S[2, Infinity])/448 + (2039*S[3, Infinity])/3584)*
    S[5, Infinity] + (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (137*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (-62144*S[-7, -1, Infinity] - 19683*S[5, 3, Infinity] - 
     6912*S[-5, -1, -1, -1, Infinity] - 5632*S[-5, -1, 1, 1, Infinity])/
    3584 + S[1, Infinity]*((-577*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (467*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (267*S[2, Infinity]*S[5, Infinity])/112 - (19233*S[7, Infinity])/3584 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (22*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] + 
       (201*S[2, Infinity]^2)/1120 - 4*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/168 + 
     (19*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (-S[-1, Infinity]^5/140 + (S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (7509*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 3, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/72 + (5461*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (4478381*S[2, Infinity]^4)/784000 + 
   ((-813*S[-1, Infinity]^2)/448 - (739*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/64 + 
     (16497*S[-1, Infinity]*S[2, Infinity])/448 - (98477*S[3, Infinity])/
      3584)*S[5, Infinity] - (58697*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (16*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (15*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/336 + 
     (121*S[-1, 1, 1, 1, Infinity])/14) + 
   (-504320*S[-7, -1, Infinity] - 26557*S[5, 3, Infinity] + 
     75520*S[-5, -1, -1, -1, Infinity] - 209920*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (347*S[-1, Infinity]*S[2, Infinity]^3)/120 + 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-155*S[-1, Infinity]^2)/16 - (3137*S[2, Infinity])/112)*
      S[5, Infinity] + (91289*S[7, Infinity])/1792 + 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (2*(2*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - 
       (35*S[-1, Infinity]^2*S[2, Infinity])/8 - (621*S[2, Infinity]^2)/140 - 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/12 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-339*S[-1, Infinity]^5)/1120 + 
     (463*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (5959*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (47*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (157*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/15 + (761*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 3, -2, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (107*S[-1, Infinity]^2*S[2, Infinity]^3)/420 + 
   (201037*S[2, Infinity]^4)/112000 + 
   ((-93*S[-1, Infinity]^2)/128 - (377*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (997*S[-1, Infinity]*S[2, Infinity])/64 + (115*S[3, Infinity])/256)*
    S[5, Infinity] - (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]*((101*S[-1, Infinity]*S[2, Infinity]^3)/420 - 
     (719*S[2, Infinity]^2*S[3, Infinity])/320 - 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/64 - 
     (207*S[2, Infinity]*S[5, Infinity])/32 + (291*S[7, Infinity])/16 + 
     3*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity])/2) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/480 + 
     (23*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (-S[-1, Infinity]^6/16 + (23*S[-5, -1, Infinity])/4 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (1240*S[-7, -1, Infinity] + 473*S[5, 3, Infinity] + 
     480*S[-5, -1, -1, -1, Infinity] - 280*S[-5, -1, 1, 1, Infinity] + 
     240*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    ((-29*S[-1, Infinity]^5)/480 + (19*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (2601*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]), S[1, -1, 3, 2, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/288 + (331*S[-1, Infinity]^2*S[2, Infinity]^3)/336 - 
   (1149377*S[2, Infinity]^4)/784000 + 
   ((2911*S[-1, Infinity]^2)/896 - (549*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/48 - 
     (683*S[-1, Infinity]*S[2, Infinity])/224 + (7501*S[3, Infinity])/1792)*
    S[5, Infinity] - (137*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((577*S[-1, Infinity]^4)/1680 - 
     (367*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (131200*S[-7, -1, Infinity] + 35087*S[5, 3, Infinity] + 
     20480*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] - 
     89600*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2) - 
     (469*S[-1, Infinity]*S[2, Infinity]^3)/240 - 
     (1345*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((155*S[-1, Infinity]^2)/32 - (1171*S[2, Infinity])/224)*
      S[5, Infinity] + (25447*S[7, Infinity])/1792 + 
     (59*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (24*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/2 - (4471*S[2, Infinity]^2)/
        1120 - (13*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(S[-1, Infinity]^5/6 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (-S[-1, Infinity]^5/280 + (355*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1703*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - (257*S[-5, -1, Infinity])/28 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 3, 2, 1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (319*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (29537*S[2, Infinity]^4)/156800 + ((-4213*S[-1, Infinity]^2)/896 - 
     (593*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((465*S[-1, Infinity]^3)/64 + (123*S[-1, Infinity]*S[2, Infinity])/28 - 
     (11805*S[3, Infinity])/3584)*S[5, Infinity] - 
   (24373*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-94*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]*((-2899*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (2239*S[2, Infinity]^2*S[3, Infinity])/1120 + 
     (535*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-217*S[-1, Infinity]^2)/32 - (477*S[2, Infinity])/28)*S[5, Infinity] + 
     (12455*S[7, Infinity])/448 + (12*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (-46*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-361*S[-1, Infinity]^4)/3360 + 
     (151*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (407*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-110848*S[-7, -1, Infinity] - 8223*S[5, 3, Infinity] - 
     3072*S[-5, -1, -1, -1, Infinity] - 18432*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/840 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (317*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (179*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 1, -3, -2, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/576 - (27*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (811897*S[2, Infinity]^4)/235200 + 
   ((-783*S[-1, Infinity]^2)/448 + (7997*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/24 - 
     (8055*S[-1, Infinity]*S[2, Infinity])/448 + (363*S[3, Infinity])/3584)*
    S[5, Infinity] - (12377*S[-1, Infinity]*S[7, Infinity])/448 + 
   (169*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-58*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
     (403*S[2, Infinity]^3)/480 - (27*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (51*S[3, Infinity]^2)/64 - 
     (155*S[-1, Infinity]*S[5, Infinity])/64 - (5*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity])) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-257*S[-1, Infinity]^4)/840 + 
     (199*S[-1, 1, 1, 1, Infinity])/70) + 
   (-179712*S[-7, -1, Infinity] - 34325*S[5, 3, Infinity] - 
     31488*S[-5, -1, -1, -1, Infinity] - 4352*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (291*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((21*S[-1, Infinity]^2*S[2, Infinity])/8 - (27*S[2, Infinity]^2)/280)*
      S[3, Infinity] + (2033*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-155*S[-1, Infinity]^2)/32 - (575*S[2, Infinity])/448)*
      S[5, Infinity] - (7955*S[7, Infinity])/1792 - 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (5*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/14 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-121*S[-1, Infinity]^5)/3360 - (65*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (3821*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + (69*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -3, -2, 1, Infinity] -> S[-1, Infinity]^8/192 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (42841*S[2, Infinity]^4)/
    24000 + ((35*S[-1, Infinity]^2)/64 - (229*S[2, Infinity])/128)*
    S[3, Infinity]^2 + S[1, Infinity]^2*((643*S[2, Infinity]^3)/1680 - 
     (109*S[3, Infinity]^2)/128) - (1039*S[3, Infinity]*S[5, Infinity])/128 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/160 - 
     (39*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-1159*S[5, 3, Infinity] + 1920*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*((21*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     (141*S[2, Infinity]*S[5, Infinity])/16 - (8209*S[7, Infinity])/256 - 
     3*S[-1, Infinity]*S[-5, -1, Infinity] - 
     3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + S[-1, Infinity]^2*
        S[2, Infinity] + (263*S[2, Infinity]^2)/40 + 
       4*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-41*S[-1, Infinity]^5)/480 + (31*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (273*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -3, 2, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/576 - (603*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1148743*S[2, Infinity]^4)/1176000 + 
   ((-115*S[-1, Infinity]^2)/224 - (3613*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (737*S[-1, Infinity]*S[2, Infinity])/56 - (17165*S[3, Infinity])/1792)*
    S[5, Infinity] - (111*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
     (11*S[2, Infinity]^3)/24 - (15*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (99*S[3, Infinity]^2)/128 + 
     (5*S[-5, -1, Infinity])/4 + S[2, Infinity]*(S[-1, Infinity]^4/12 - 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    ((479*S[-1, Infinity]^4)/1120 - (807*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (127360*S[-7, -1, Infinity] + 40923*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (149*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (241*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((155*S[-1, Infinity]^2)/32 + (421*S[2, Infinity])/112)*S[5, Infinity] - 
     (3669*S[7, Infinity])/896 + (29*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/96 - 
       (31*S[-1, Infinity]^2*S[2, Infinity])/16 + (1181*S[2, Infinity]^2)/
        1120 + (11*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/8 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((269*S[-1, Infinity]^5)/3360 + (25*S[-1, Infinity]^3*S[2, Infinity])/
      42 + (717*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (199*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 + (129*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -3, 2, 1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (83*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (919937*S[2, Infinity]^4)/
    1176000 + ((-579*S[-1, Infinity]^2)/224 + (4603*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/96 - 
     (447*S[-1, Infinity]*S[2, Infinity])/448 - (16901*S[3, Infinity])/1792)*
    S[5, Infinity] - (57303*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[1, Infinity]^2*((-683*S[2, Infinity]^3)/1680 + 
     (59*S[3, Infinity]^2)/128 - (217*S[-1, Infinity]*S[5, Infinity])/64 - 
     (7*S[-5, -1, Infinity])/4) + (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/
    28 - (S[-1, Infinity]*(-53*S[-5, 1, 1, Infinity] + 
      66*S[5, -1, -1, Infinity]))/14 + S[1, Infinity]*
    ((-3*S[-1, Infinity]*S[2, Infinity]^3)/4 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (6809*S[2, Infinity]*S[5, Infinity])/448 + (49965*S[7, Infinity])/1792 + 
     (30*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (6*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 - (1397*S[2, Infinity]^2)/
        560 - (5*S[-1, 1, 1, 1, Infinity])/4)) + 
   S[2, Infinity]^2*((-151*S[-1, Infinity]^4)/1680 + 
     (23*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (317*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-339200*S[-7, -1, Infinity] - 60477*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 33920*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((317*S[-1, Infinity]^5)/3360 - 
     (289*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (4631*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (247*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, 1, 3, -2, -1, Infinity] -> 
  (87*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (739271*S[2, Infinity]^4)/
    588000 + ((225*S[-1, Infinity]^2)/224 + (1259*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (1893*S[-1, Infinity]*S[2, Infinity])/448 - (379*S[3, Infinity])/112)*
    S[5, Infinity] + (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (15*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (-38720*S[-7, -1, Infinity] - 25233*S[5, 3, Infinity] - 
     19200*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity])/
    8960 + S[1, Infinity]*((-297*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-93*S[-1, Infinity]^2)/32 - (873*S[2, Infinity])/112)*S[5, Infinity] + 
     (26603*S[7, Infinity])/1792 + (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (3*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] - 
       (251*S[2, Infinity]^2)/112 - 4*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((-81*S[-1, Infinity]^4)/560 + 
     (243*S[-1, 1, 1, 1, Infinity])/70) + S[1, Infinity]^2*
    ((S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (13*S[2, Infinity]^3)/24 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (23*S[3, Infinity]^2)/64 - (3*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/12 + 2*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/280 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (1377*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 3, -2, 1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + (28127*S[2, Infinity]^4)/
    58800 + ((25*S[-1, Infinity]^2)/28 - (1977*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/96 + 
     (471*S[-1, Infinity]*S[2, Infinity])/448 + (21863*S[3, Infinity])/3584)*
    S[5, Infinity] + (46429*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (143*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]^2*((677*S[2, Infinity]^3)/3360 - (85*S[3, Infinity]^2)/
      128 + (155*S[-1, Infinity]*S[5, Infinity])/64 + 
     (5*S[-5, -1, Infinity])/4) + S[1, Infinity]*
    ((27*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (733*S[2, Infinity]^2*S[3, Infinity])/1120 - 
     (243*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (3245*S[2, Infinity]*S[5, Infinity])/448 - (9913*S[7, Infinity])/896 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (29*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity])/14) - 
   (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 57*S[5, -1, -1, Infinity]))/
    14 + (84352*S[-7, -1, Infinity] + 18145*S[5, 3, Infinity] + 
     14592*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*(S[-1, Infinity]^4/84 - 
     (2*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (-S[-1, Infinity]^5/42 + (5*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (4737*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 3, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (473*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (399229*S[2, Infinity]^4)/294000 + 
   ((207*S[-1, Infinity]^2)/56 - (297*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/6 + (1003*S[-1, Infinity]*S[2, Infinity])/112 + 
     (19573*S[3, Infinity])/1792)*S[5, Infinity] + 
   (53771*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(71*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]*((131*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (461*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((93*S[-1, Infinity]^2)/32 + (1971*S[2, Infinity])/448)*S[5, Infinity] - 
     (13675*S[7, Infinity])/3584 + (S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (71*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (447*S[2, Infinity]^2)/560 + 
       S[-1, 1, 1, 1, Infinity]/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/56 + (12*S[-1, 1, 1, 1, Infinity])/
      7) + S[2, Infinity]*(-S[-1, Infinity]^6/24 - (145*S[-5, -1, Infinity])/
      14 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (324000*S[-7, -1, Infinity] + 54291*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 39680*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]^2*((S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
     (589*S[2, Infinity]^3)/672 + (9*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/4 - (41*S[3, Infinity]^2)/64 + 
     (217*S[-1, Infinity]*S[5, Infinity])/64 + (5*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-123*S[-1, Infinity]^5)/560 + 
     (271*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (9369*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (62*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 3, 2, 1, Infinity] -> 
  (-3497*S[2, Infinity]^4)/1500 + (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   S[1, Infinity]^2*((-143*S[2, Infinity]^3)/420 + (3*S[3, Infinity]^2)/2) + 
   10*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((-18*S[2, Infinity]^2*S[3, Infinity])/5 + (179*S[7, Infinity])/16) + 
   (11*S[5, 3, Infinity])/5, S[1, -1, -3, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/64 - (969*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (83589*S[2, Infinity]^4)/784000 + 
   ((531*S[-1, Infinity]^2)/896 + (10007*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/48 - 
     (3019*S[-1, Infinity]*S[2, Infinity])/112 - (49297*S[3, Infinity])/1792)*
    S[5, Infinity] + (255*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/112 - 
     (8*S[-1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-390800*S[-7, -1, Infinity] - 82147*S[5, 3, Infinity] - 
     54720*S[-5, -1, -1, -1, Infinity] - 48320*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (113*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (579*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((93*S[-1, Infinity]^2)/8 + (1849*S[2, Infinity])/112)*S[5, Infinity] - 
     (34897*S[7, Infinity])/1792 + (57*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (141*S[-5, 1, 1, Infinity] - 97*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/32 - 
       (39*S[-1, Infinity]^2*S[2, Infinity])/16 - (233*S[2, Infinity]^2)/
        140 - (39*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/4 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((171*S[-1, Infinity]^5)/1120 - (171*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (14451*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (513*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1045*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, -3, -1, 2, Infinity] -> S[-1, Infinity]^8/288 - 
   (3137*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (644983*S[2, Infinity]^4)/156800 + 
   ((-365*S[-1, Infinity]^2)/112 + (5923*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/32 - 
     (15541*S[-1, Infinity]*S[2, Infinity])/448 - (96409*S[3, Infinity])/
      1792)*S[5, Infinity] + (15955*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (159*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-41*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/3360 + 
     (781*S[-1, 1, 1, 1, Infinity])/140) + 
   (-25856*S[-7, -1, Infinity] - 4073*S[5, 3, Infinity] - 
     2432*S[-5, -1, -1, -1, Infinity] - 4288*S[-5, -1, 1, 1, Infinity] + 
     448*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (1209*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (187*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((217*S[-1, Infinity]^2)/16 + (9115*S[2, Infinity])/448)*
      S[5, Infinity] - (12713*S[7, Infinity])/448 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(25*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (11*S[2, Infinity]^2)/56 - 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/24 - 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((131*S[-1, Infinity]^5)/1120 - 
     (229*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (5193*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (282*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-955*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[1, -1, -3, 1, -2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (1083*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1286967*S[2, Infinity]^4)/392000 + 
   ((-3657*S[-1, Infinity]^2)/896 - (123*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (363*S[-1, Infinity]*S[2, Infinity])/112 - (15009*S[3, Infinity])/896)*
    S[5, Infinity] + (4711*S[-1, Infinity]*S[7, Infinity])/128 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-197*S[-1, Infinity]^4)/1120 - 
     (179*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (37440*S[-7, -1, Infinity] - 4149*S[5, 3, Infinity] + 
     21120*S[-5, -1, -1, -1, Infinity] - 21120*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (67*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((31*S[-1, Infinity]^2)/16 + (2085*S[2, Infinity])/448)*S[5, Infinity] - 
     (25623*S[7, Infinity])/1792 - (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (5*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 + (4803*S[2, Infinity]^2)/
        2240 + 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/30 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((437*S[-1, Infinity]^5)/1680 - (113*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (1049*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (139*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/180 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (125*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, -3, 1, 2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (15*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (407999*S[2, Infinity]^4)/
    392000 + ((-397*S[-1, Infinity]^2)/448 - (1555*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 + 
     (1465*S[-1, Infinity]*S[2, Infinity])/224 + (1237*S[3, Infinity])/224)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/70 - (37*S[-1, 1, 1, 1, Infinity])/
      70) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (800*S[-7, -1, Infinity] + 14799*S[5, 3, Infinity] + 
     8320*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/140 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (61*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (1327*S[2, Infinity]*S[5, Infinity])/224 + (40331*S[7, Infinity])/1792 + 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (20*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/96 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/16 - (3433*S[2, Infinity]^2)/
        1120 - (13*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (47*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[1, -1, 3, -1, -2, Infinity] -> -S[-1, Infinity]^8/144 + 
   (6173*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1028593*S[2, Infinity]^4)/196000 + 
   ((1341*S[-1, Infinity]^2)/448 - (25611*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 + 
     (6129*S[-1, Infinity]*S[2, Infinity])/224 + (56067*S[3, Infinity])/896)*
    S[5, Infinity] - (6761*S[-1, Infinity]*S[7, Infinity])/896 - 
   (145*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/560 - 
     (447*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/48 - (391*S[-5, -1, Infinity])/7 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (512000*S[-7, -1, Infinity] + 88021*S[5, 3, Infinity] + 
     42880*S[-5, -1, -1, -1, Infinity] + 91520*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (171*S[-1, Infinity]*S[2, Infinity]^3)/70 + 
     (187*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-217*S[-1, Infinity]^2)/16 - (1247*S[2, Infinity])/56)*
      S[5, Infinity] + (12937*S[7, Infinity])/448 - 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(25*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + S[-1, Infinity]^2*
        S[2, Infinity] - (33*S[2, Infinity]^2)/70 + 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/15 + 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/56 + (26*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (19799*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (565*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, -1, 3, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/64 + (25*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (25981*S[2, Infinity]^4)/98000 + ((-9*S[-1, Infinity]^2)/14 - 
     (9001*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/48 + (7363*S[-1, Infinity]*S[2, Infinity])/224 + 
     (61539*S[3, Infinity])/3584)*S[5, Infinity] - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-751*S[-1, Infinity]^4)/3360 + 
     (121*S[-1, 1, 1, 1, Infinity])/140) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - (453*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (1573120*S[-7, -1, Infinity] + 284639*S[5, 3, Infinity] + 
     225280*S[-5, -1, -1, -1, Infinity] + 186880*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/210 + 
     (40*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (27267*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (118*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((4*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (S[-1, Infinity]*S[2, Infinity]^3)/4 + 
     (277*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-93*S[-1, Infinity]^2)/8 - (96*S[2, Infinity])/7)*S[5, Infinity] + 
     (19113*S[7, Infinity])/896 - (26*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 - (17*(4*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/48 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/8 + (383*S[2, Infinity]^2)/280 + 
       (13*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/5 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity])), S[1, -1, 3, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/288 + (69*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (227021*S[2, Infinity]^4)/112000 + 
   ((-25*S[-1, Infinity]^2)/32 - (769*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 + (1713*S[-1, Infinity]*S[2, Infinity])/64 + 
     (535*S[3, Infinity])/512)*S[5, Infinity] - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/48 + (3*S[-1, 1, 1, 1, Infinity])/
      2) + (70*S[-7, -1, Infinity] + 38*S[5, 3, Infinity] + 
     65*S[-5, -1, -1, -1, Infinity] - 55*S[-5, -1, 1, 1, Infinity] + 
     20*S[-1, 1, 1, 1, Infinity]^2)/10 + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (237*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^2*S[2, Infinity])/8 - (81*S[2, Infinity]^2)/64)*
      S[3, Infinity] - (57*S[-1, Infinity]*S[3, Infinity]^2)/64 - 
     (347*S[2, Infinity]*S[5, Infinity])/64 + (2739*S[7, Infinity])/256 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/60 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (459*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/180 + 15*S[-5, -1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, -1, 3, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/576 + (9*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (741271*S[2, Infinity]^4)/784000 + 
   ((-1003*S[-1, Infinity]^2)/448 + (1291*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (4957*S[-1, Infinity]*S[2, Infinity])/896 - (13617*S[3, Infinity])/1792)*
    S[5, Infinity] + (43205*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/1680 + 
     (6*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-19200*S[-7, -1, Infinity] + 3483*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/1680 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (7493*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (181*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (229*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((7*S[-1, Infinity]^2*S[2, Infinity])/16 + (313*S[2, Infinity]^2)/560)*
      S[3, Infinity] + (641*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-31*S[-1, Infinity]^2)/16 - (873*S[2, Infinity])/896)*S[5, Infinity] - 
     (4859*S[7, Infinity])/3584 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (-19*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity])/14 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 + S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-43*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -3, -1, -2, Infinity] -> S[-1, Infinity]^8/576 + 
   (63*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (19163*S[2, Infinity]^4)/
    14000 + ((391*S[-1, Infinity]^2)/224 - (315*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/48 + 
     (993*S[-1, Infinity]*S[2, Infinity])/112 + (2075*S[3, Infinity])/128)*
    S[5, Infinity] - (33155*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]^2*((S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
     (591*S[2, Infinity]^3)/1120 + (9*S[3, Infinity]^2)/8 - 
     (155*S[-1, Infinity]*S[5, Infinity])/32 - 3*S[-5, -1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/240 + 
     (23*S[-1, 1, 1, 1, Infinity])/10) + 
   (11760*S[-7, -1, Infinity] + 4357*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (571*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (155*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((31*S[-1, Infinity]^2)/4 + (601*S[2, Infinity])/224)*S[5, Infinity] - 
     (4521*S[7, Infinity])/1792 + (31*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (17*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (31*S[2, Infinity]^2)/70 + 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*(S[-1, Infinity]^5/120 - 
       S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-41*S[-1, Infinity]^5)/240 + (11*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (6477*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    ((-29*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-33*S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[1, 1, -3, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/192 + (117*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (27*S[2, Infinity]^4)/175 + ((83*S[-1, Infinity]^2)/64 + 
     (173*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (-9*S[-1, Infinity]*S[2, Infinity] + (779*S[3, Infinity])/128)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/480 + 
     (111*S[-1, 1, 1, 1, Infinity])/20) + 
   (-512*S[-7, -1, Infinity] - 145*S[5, 3, Infinity] - 
     384*S[-5, -1, -1, -1, Infinity] + 384*S[-5, -1, 1, 1, Infinity] + 
     384*S[-1, 1, 1, 1, Infinity]^2)/128 + S[1, Infinity]^2*
    ((3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (327*S[2, Infinity]^3)/560 + 
     (11*S[3, Infinity]^2)/8 - (5*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/8 + 3*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/60 + 
     (S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/40 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (209*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (73*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (1425*S[2, Infinity]*S[5, Infinity])/224 - (42197*S[7, Infinity])/3584 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (1047*S[2, Infinity]^2)/
        1120 - 6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/720 - 9*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, 1, -3, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/72 + (S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (16901*S[2, Infinity]^4)/28000 + 
   ((7*S[-1, Infinity]^2)/64 - (15*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/32 + (1607*S[3, Infinity])/256)*
    S[5, Infinity] + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/
      4 - (9*S[2, Infinity]^3)/112 - (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (21*S[3, Infinity]^2)/32 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/120 + 
     (4*S[-1, 1, 1, 1, Infinity])/5) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-113*S[5, 3, Infinity] + 5120*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*((2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/8 + 
     (193*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     (49*S[2, Infinity]*S[5, Infinity])/4 - (1267*S[7, Infinity])/32 - 
     5*S[-1, Infinity]*S[-5, -1, Infinity] - 
     5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/48 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/8 + (1053*S[2, Infinity]^2)/
        160 + (17*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-2*S[-1, Infinity]^5)/15 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/8 + (S[-1, Infinity]^3*S[2, Infinity])/
      3 + (7*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (55*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/2), S[1, 1, -3, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/144 + (559*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (941413*S[2, Infinity]^4)/392000 + 
   ((1945*S[-1, Infinity]^2)/224 + (2071*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 - 
     (1243*S[-1, Infinity]*S[2, Infinity])/448 + (9435*S[3, Infinity])/896)*
    S[5, Infinity] - (44735*S[-1, Infinity]*S[7, Infinity])/896 - 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]^2*((S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
     (83*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (5*S[3, Infinity]^2)/8 - 
     (31*S[-1, Infinity]*S[5, Infinity])/32 - S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/105 + 
     (271*S[-1, 1, 1, 1, Infinity])/70) + 
   (-18080*S[-7, -1, Infinity] - 8011*S[5, 3, Infinity] - 
     13760*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-157*S[-1, Infinity]^5)/280 + 
     (1331*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (7359*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (67*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (663*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (243*S[2, Infinity]*S[5, Infinity])/112 + (9259*S[7, Infinity])/896 + 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/32 - 
       (29*S[-1, Infinity]^2*S[2, Infinity])/16 - (3021*S[2, Infinity]^2)/
        1120 - (15*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/8 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(103*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, 1, 3, -1, -2, Infinity] -> (-33*S[-1, Infinity]^2*S[2, Infinity]^3)/
    40 + (12363*S[2, Infinity]^4)/22400 + 
   ((-27*S[-1, Infinity]^2)/64 - (369*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((669*S[-1, Infinity]*S[2, Infinity])/64 - (697*S[3, Infinity])/256)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (2048*S[-7, -1, Infinity] + 729*S[5, 3, Infinity] + 
     1536*S[-5, -1, -1, -1, Infinity] - 1536*S[-5, -1, 1, 1, Infinity])/512 + 
   S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
     (183*S[2, Infinity]^3)/560 + (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (29*S[3, Infinity]^2)/128 + 
     (5*S[-5, -1, Infinity])/2 + S[2, Infinity]*(S[-1, Infinity]^4/12 - 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    ((5*S[-1, Infinity]^4)/24 - 3*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (209*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/56 - 
     (2647*S[2, Infinity]*S[5, Infinity])/448 + (8997*S[7, Infinity])/896 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (219*S[2, Infinity]^2)/560 + 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/160 + (11*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (569*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    (-S[-1, Infinity]^6/90 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (39*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, 1, 3, -1, 2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (379*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (134123*S[2, Infinity]^4)/392000 + 
   ((-39*S[-1, Infinity]^2)/64 + (1459*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/48 - 
     (1241*S[-1, Infinity]*S[2, Infinity])/128 - (52189*S[3, Infinity])/3584)*
    S[5, Infinity] - (4997*S[-1, Infinity]*S[7, Infinity])/896 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/14 + 
   S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
     (27*S[2, Infinity]^3)/70 - (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - 2*S[3, Infinity]^2 + 
     (155*S[-1, Infinity]*S[5, Infinity])/32 + 3*S[-5, -1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/1680 - 
     (191*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-179840*S[-7, -1, Infinity] - 71251*S[5, 3, Infinity] - 
     68480*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((503*S[-1, Infinity]^5)/3360 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1619*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (183*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (1349*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-31*S[-1, Infinity]^2)/4 - (6931*S[2, Infinity])/896)*S[5, Infinity] + 
     (6997*S[7, Infinity])/448 - (4*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (3*(S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 - (957*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/120 + S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (257*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, 3, 1, -2, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (15237*S[2, Infinity]^4)/28000 + 
   ((5*S[-1, Infinity]^2)/16 - (7*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 + (31*S[-1, Infinity]*S[2, Infinity])/32 + 
     (2009*S[3, Infinity])/512)*S[5, Infinity] + 
   (635*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[1, Infinity]^2*((-27*S[2, Infinity]^3)/1120 - (31*S[3, Infinity]^2)/
      128 + (31*S[-1, Infinity]*S[5, Infinity])/32 + S[-5, -1, Infinity]/2) - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   S[2, Infinity]*S[-5, -1, Infinity] + S[1, Infinity]*
    ((7*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (5*S[2, Infinity]^2*S[3, Infinity])/32 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     (7*S[2, Infinity]*S[5, Infinity])/4 - (571*S[7, Infinity])/256 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   (10240*S[-7, -1, Infinity] + 3081*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(S[-1, Infinity]^4/240 - 
     S[-1, 1, 1, 1, Infinity]/10) + S[3, Infinity]*
    (-S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (161*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 3, 1, 2, Infinity] -> 
  (11*S[1, Infinity]^2*S[2, Infinity]^3)/70 + (331*S[2, Infinity]^4)/350 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - (9*S[3, Infinity]*S[5, Infinity])/
    2 + S[1, Infinity]*(-(S[2, Infinity]*S[5, Infinity])/2 + 
     S[7, Infinity]/4) - S[5, 3, Infinity], S[1, -1, -2, -3, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/576 + (6541*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (123139*S[2, Infinity]^4)/98000 + 
   ((1399*S[-1, Infinity]^2)/896 - (3923*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/48 + 
     (22027*S[-1, Infinity]*S[2, Infinity])/896 - (783*S[3, Infinity])/3584)*
    S[5, Infinity] - (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((437*S[-1, Infinity]^4)/1680 - 
     (61*S[-1, 1, 1, 1, Infinity])/35) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (35320*S[-7, -1, Infinity] + 16127*S[5, 3, Infinity] + 
     17440*S[-5, -1, -1, -1, Infinity] - 6240*S[-5, -1, 1, 1, Infinity] - 
     11200*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (653*S[-1, Infinity]*S[2, Infinity]^3)/420 - 
     (1417*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((217*S[-1, Infinity]^2)/32 - (19*S[2, Infinity])/56)*S[5, Infinity] + 
     (9547*S[7, Infinity])/1792 + (123*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (53*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 4*S[-1, Infinity]^2*
        S[2, Infinity] - (215*S[2, Infinity]^2)/112 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/4 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/1680 + 
     (481*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (12811*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 + (37*S[-5, -1, Infinity])/28 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, -2, -3, 1, Infinity] -> S[-1, Infinity]^8/288 + 
   (517*S[-1, Infinity]^2*S[2, Infinity]^3)/240 + 
   (13907*S[2, Infinity]^4)/5600 + ((-299*S[-1, Infinity]^2)/896 - 
     (105*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((1457*S[-1, Infinity]^3)/192 + (6693*S[-1, Infinity]*S[2, Infinity])/
      224 - (4449*S[3, Infinity])/512)*S[5, Infinity] - 
   (93003*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 108*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/160 + 
     (111*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    ((-5*S[-1, Infinity]^6)/48 + (99*S[-5, -1, Infinity])/4 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-10624*S[-7, -1, Infinity] - 695*S[5, 3, Infinity] + 
     384*S[-5, -1, -1, -1, Infinity] - 2432*S[-5, -1, 1, 1, Infinity] + 
     512*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (181*S[-1, Infinity]*S[2, Infinity]^3)/48 - 3*S[-1, Infinity]*
      S[3, Infinity]^2 + ((-155*S[-1, Infinity]^2)/32 - 
       (489*S[2, Infinity])/16)*S[5, Infinity] + (7325*S[7, Infinity])/128 + 
     7*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (4*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*((31*S[-1, Infinity]^4)/96 - 
       (73*S[-1, Infinity]^2*S[2, Infinity])/16 - (1039*S[2, Infinity]^2)/
        160 - (31*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/8 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/10 + (41*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (1247*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/2), S[1, -1, -2, 3, -1, Infinity] -> 
  S[-1, Infinity]^8/96 - (5441*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (199069*S[2, Infinity]^4)/156800 + 
   ((-253*S[-1, Infinity]^2)/112 + (2187*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/64 - 
     (22745*S[-1, Infinity]*S[2, Infinity])/896 - (27227*S[3, Infinity])/
      3584)*S[5, Infinity] - (10103*S[-1, Infinity]*S[7, Infinity])/448 + 
   (241*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-53*S[-5, 1, 1, Infinity] + 66*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-681*S[-1, Infinity]^4)/2240 + 
     (1203*S[-1, 1, 1, 1, Infinity])/280) + 
   (-139136*S[-7, -1, Infinity] - 37557*S[5, 3, Infinity] - 
     39936*S[-5, -1, -1, -1, Infinity] + 2304*S[-5, -1, 1, 1, Infinity] + 
     21504*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (55*S[-1, Infinity]*S[2, Infinity]^3)/168 + 
     (797*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-155*S[-1, Infinity]^2)/16 - (975*S[2, Infinity])/112)*
      S[5, Infinity] + (8255*S[7, Infinity])/896 - 
     (79*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (10*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (29*S[-1, Infinity]^2*S[2, Infinity])/8 - (671*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/4 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-253*S[-1, Infinity]^5)/3360 - 
     (103*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (617*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((-3*S[-1, Infinity]^6)/40 + (111*S[-5, -1, Infinity])/28 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, -2, 3, 1, Infinity] -> (-1753*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 - (18553*S[2, Infinity]^4)/7840 + 
   ((139*S[-1, Infinity]^2)/224 + (365*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (3147*S[-1, Infinity]*S[2, Infinity])/448 - (7475*S[3, Infinity])/896)*
    S[5, Infinity] + (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (209*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (26560*S[-7, -1, Infinity] + 799*S[5, 3, Infinity] - 
     3328*S[-5, -1, -1, -1, Infinity] + 6016*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/210 - 
     (244*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    ((1433*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     (779*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (1537*S[2, Infinity]*S[5, Infinity])/224 - (11951*S[7, Infinity])/896 - 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-47*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/3 + 2*S[-1, Infinity]^2*
        S[2, Infinity] + (257*S[2, Infinity]^2)/70 + 
       8*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/280 - (3*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (2847*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 2, -3, -1, Infinity] -> 
  -S[-1, Infinity]^8/96 + (143*S[-1, Infinity]^2*S[2, Infinity]^3)/120 + 
   (517261*S[2, Infinity]^4)/196000 + 
   ((2039*S[-1, Infinity]^2)/448 - (5821*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/64 + 
     (11813*S[-1, Infinity]*S[2, Infinity])/448 - (9115*S[3, Infinity])/3584)*
    S[5, Infinity] + (26469*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (52*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(71*S[-5, 1, 1, Infinity] - 34*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((103*S[-1, Infinity]^4)/336 - 
     (61*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (759040*S[-7, -1, Infinity] + 138237*S[5, 3, Infinity] + 
     129280*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (223*S[-1, Infinity]*S[2, Infinity]^3)/240 - 
     (381*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((155*S[-1, Infinity]^2)/16 + (193*S[2, Infinity])/16)*S[5, Infinity] - 
     (1965*S[7, Infinity])/128 + (7*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     2*(3*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/8 + (109*S[2, Infinity]^2)/160 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/4 - 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/840 + 
     (359*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (17279*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/40 - (121*S[-5, -1, Infinity])/28 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 2, -3, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (1459*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (236497*S[2, Infinity]^4)/392000 + 
   ((-2231*S[-1, Infinity]^2)/896 - (11*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 - 
     (2371*S[-1, Infinity]*S[2, Infinity])/448 + (657*S[3, Infinity])/28)*
    S[5, Infinity] + (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-1909*S[-1, Infinity]^4)/3360 + 
     (859*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (31*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-101120*S[-7, -1, Infinity] - 16771*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (617*S[-1, Infinity]*S[2, Infinity]^3)/840 - 
     (23*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (509*S[2, Infinity]*S[5, Infinity])/224 - (1041*S[7, Infinity])/1792 - 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (13*S[-5, 1, 1, Infinity] - 22*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/96 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/16 - (1279*S[2, Infinity]^2)/
        1120 - (11*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((169*S[-1, Infinity]^5)/1120 - (109*S[-1, Infinity]^3*S[2, Infinity])/
      56 + (1707*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (57*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 2, 3, -1, Infinity] -> 
  S[-1, Infinity]^8/96 - (943*S[-1, Infinity]^2*S[2, Infinity]^3)/480 - 
   (1214839*S[2, Infinity]^4)/392000 + 
   ((-711*S[-1, Infinity]^2)/896 + (5147*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/48 - 
     (947*S[-1, Infinity]*S[2, Infinity])/28 + (6245*S[3, Infinity])/896)*
    S[5, Infinity] + (229*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-359*S[-1, Infinity]^4)/1680 + 
     (149*S[-1, 1, 1, 1, Infinity])/70) + 
   (-113920*S[-7, -1, Infinity] - 36331*S[5, 3, Infinity] - 
     39680*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (659*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     (135*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-155*S[-1, Infinity]^2)/32 + (33*S[2, Infinity])/32)*S[5, Infinity] - 
     (707*S[7, Infinity])/128 - 7*S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/2 + (143*S[2, Infinity]^2)/80 + 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/4 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/1680 - 
     (169*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (16621*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (73*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 - (111*S[-5, -1, Infinity])/28 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 2, 3, 1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (943*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (118201*S[2, Infinity]^4)/196000 + 
   ((-15*S[-1, Infinity]^2)/56 + (565*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-775*S[-1, Infinity]^3)/192 - (3109*S[-1, Infinity]*S[2, Infinity])/
      224 - (5343*S[3, Infinity])/448)*S[5, Infinity] + 
   (118003*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/420 - 
     (172*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (319*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (199040*S[-7, -1, Infinity] - 1399*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 36480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((137*S[-1, Infinity]*S[2, Infinity]^3)/120 - 
     (13*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((93*S[-1, Infinity]^2)/32 + (4377*S[2, Infinity])/224)*S[5, Infinity] - 
     (137799*S[7, Infinity])/3584 - (55*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (15*S[-5, 1, 1, Infinity] - 76*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (1011*S[2, Infinity]^2)/280 + 
       (5*S[-1, 1, 1, 1, Infinity])/2)) + S[3, Infinity]*
    ((137*S[-1, Infinity]^5)/560 - (215*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (7677*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 1, -2, -3, -1, Infinity] -> 
  (213*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + (199939*S[2, Infinity]^4)/
    588000 + ((703*S[-1, Infinity]^2)/224 - (4553*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/24 + 
     (1167*S[-1, Infinity]*S[2, Infinity])/448 + (25155*S[3, Infinity])/1792)*
    S[5, Infinity] + (359*S[-1, Infinity]*S[7, Infinity])/14 - 
   (85*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (237*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]^2*((25*S[2, Infinity]^3)/48 + 
     (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (51*S[3, Infinity]^2)/64 + (155*S[-1, Infinity]*S[5, Infinity])/64 + 
     (5*S[-5, -1, Infinity])/2) + S[1, Infinity]*
    ((211*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (1721*S[2, Infinity]^2*S[3, Infinity])/2240 - 
     (1403*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((155*S[-1, Infinity]^2)/32 + (3207*S[2, Infinity])/448)*
      S[5, Infinity] - (3697*S[7, Infinity])/448 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (3*(24*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/14) - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity]))/
    14 + (422400*S[-7, -1, Infinity] + 57613*S[5, 3, Infinity] + 
     24960*S[-5, -1, -1, -1, Infinity] + 64640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((439*S[-1, Infinity]^4)/6720 - 
     (439*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/1120 + 
     (257*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (15689*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (101*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -2, -3, 1, Infinity] -> 
  S[-1, Infinity]^8/576 + (13*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (74387*S[2, Infinity]^4)/84000 + ((49*S[-1, Infinity]^2)/64 + 
     (277*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (393*S[3, Infinity]*S[5, Infinity])/64 + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 - 
     (47*S[2, Infinity]*S[5, Infinity])/16 + (1113*S[7, Infinity])/64 + 
     S[-1, Infinity]*S[-5, -1, Infinity] + S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity] + S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (703*S[2, Infinity]^2)/160 - 
       (7*S[-1, 1, 1, 1, Infinity])/4)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/240 + 
     (13*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/96 + (7*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (91*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (229*S[5, 3, Infinity] + 320*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[1, Infinity]^2*((3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
     (193*S[2, Infinity]^3)/840 + (21*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (179*S[3, Infinity]^2)/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/16 + (3*S[-1, 1, 1, 1, Infinity])/
        2)), S[1, 1, -2, 3, -1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (143*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (280757*S[2, Infinity]^4)/470400 + 
   ((-589*S[-1, Infinity]^2)/448 - (769*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 + 
     (31*S[-1, Infinity]*S[2, Infinity])/14 - (1811*S[3, Infinity])/448)*
    S[5, Infinity] + S[1, Infinity]^2*((-127*S[2, Infinity]^3)/672 - 
     (27*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (15*S[3, Infinity]^2)/128 - (5*S[-5, -1, Infinity])/4) + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]*((-131*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (597*S[2, Infinity]^2*S[3, Infinity])/1120 + 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-155*S[-1, Infinity]^2)/32 - (421*S[2, Infinity])/112)*
      S[5, Infinity] + (4265*S[7, Infinity])/1792 - 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity])/14) + 
   S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/840 + S[-1, 1, 1, 1, Infinity]/
      70) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (207*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-5472*S[-7, -1, Infinity] - 615*S[5, 3, Infinity] + 
     256*S[-5, -1, -1, -1, Infinity] - 1376*S[-5, -1, 1, 1, Infinity] - 
     448*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/840 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (8223*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -2, 3, 1, Infinity] -> 
  S[-1, Infinity]^8/576 + (251*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (383941*S[2, Infinity]^4)/1176000 + 
   ((1503*S[-1, Infinity]^2)/448 - (2711*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/96 - 
     (459*S[-1, Infinity]*S[2, Infinity])/448 + (4777*S[3, Infinity])/448)*
    S[5, Infinity] + (1759*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[1, Infinity]^2*((23*S[2, Infinity]^3)/240 - (23*S[3, Infinity]^2)/64 + 
     (93*S[-1, Infinity]*S[5, Infinity])/64 + (3*S[-5, -1, Infinity])/4) - 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((27*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (103*S[2, Infinity]^2*S[3, Infinity])/140 - 
     (243*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (3679*S[2, Infinity]*S[5, Infinity])/448 - (23879*S[7, Infinity])/1792 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (29*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity])/14) - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((43*S[-1, Infinity]^4)/840 + 
     (19*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (337*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (64800*S[-7, -1, Infinity] + 11141*S[5, 3, Infinity] + 
     5280*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-159*S[-1, Infinity]^5)/1120 + 
     (379*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (10469*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, -3, -1, Infinity] -> 
  (43*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (147311*S[2, Infinity]^4)/
    168000 + ((111*S[-1, Infinity]^2)/64 + (19*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/96 + 
     (407*S[-1, Infinity]*S[2, Infinity])/64 - (1215*S[3, Infinity])/512)*
    S[5, Infinity] - 2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (31*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]^2*((389*S[2, Infinity]^3)/1680 + 
     (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (59*S[3, Infinity]^2)/128 + (7*S[-5, -1, Infinity])/4) + 
   S[1, Infinity]*((171*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (15*S[2, Infinity]^2*S[3, Infinity])/32 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((217*S[-1, Infinity]^2)/32 + (159*S[2, Infinity])/32)*S[5, Infinity] - 
     (1633*S[7, Infinity])/512 + 3*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity])/2) + 
   (59840*S[-7, -1, Infinity] + 5587*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(S[-1, Infinity]^4/40 - 
     (3*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (-S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (1341*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 2, -3, 1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (583*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (489709*S[2, Infinity]^4)/1176000 + 
   ((-2783*S[-1, Infinity]^2)/448 + (1459*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((589*S[-1, Infinity]^3)/96 + 
     (545*S[-1, Infinity]*S[2, Infinity])/448 - (48567*S[3, Infinity])/3584)*
    S[5, Infinity] - (31687*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-122*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
     (253*S[2, Infinity]^3)/240 - (21*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (71*S[3, Infinity]^2)/128 - 
     (155*S[-1, Infinity]*S[5, Infinity])/64 - (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/16 - (3*S[-1, 1, 1, 1, Infinity])/
        2)) + S[2, Infinity]^2*(-S[-1, Infinity]^4/168 - 
     (19*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (635*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-797760*S[-7, -1, Infinity] - 96193*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] - 156160*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (361*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (1979*S[2, Infinity]*S[5, Infinity])/448 + (633*S[7, Infinity])/112 + 
     (2*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (183*S[2, Infinity]^2)/
        1120 + (7*S[-1, 1, 1, 1, Infinity])/4)) + 
   S[3, Infinity]*((733*S[-1, Infinity]^5)/3360 - 
     (635*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (21167*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (122*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, 3, -1, Infinity] -> 
  (-697*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (588349*S[2, Infinity]^4)/294000 + 
   ((-2097*S[-1, Infinity]^2)/448 + (2959*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (2503*S[-1, Infinity]*S[2, Infinity])/224 - (8577*S[3, Infinity])/896)*
    S[5, Infinity] - (56489*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[1, Infinity]^2*((-295*S[2, Infinity]^3)/672 - 
     (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (55*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/64 - 
     (5*S[-5, -1, Infinity])/2) + (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/
    14 + (265*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-66*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]*((-217*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (261*S[2, Infinity]^2*S[3, Infinity])/280 + 
     (1047*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-217*S[-1, Infinity]^2)/32 - (5101*S[2, Infinity])/448)*
      S[5, Infinity] + (27145*S[7, Infinity])/1792 + 
     (2*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-66*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity])/14) + 
   (-143960*S[-7, -1, Infinity] - 18689*S[5, 3, Infinity] - 
     9600*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/140 + 
     (54*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/70 - (9*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (487*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, 3, 1, Infinity] -> 
  (16579*S[2, Infinity]^4)/5250 - (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   S[1, Infinity]^2*((29*S[2, Infinity]^3)/42 - (3*S[3, Infinity]^2)/2) - 
   13*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((23*S[2, Infinity]^2*S[3, Infinity])/5 - (131*S[7, Infinity])/8) - 
   (2*S[5, 3, Infinity])/5, S[1, -1, -2, -2, -2, Infinity] -> 
  S[-1, Infinity]^8/96 + (89*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (1086593*S[2, Infinity]^4)/392000 + 
   ((-261*S[-1, Infinity]^2)/448 - (2203*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((8389*S[-1, Infinity]*S[2, Infinity])/448 + 
     (165*S[3, Infinity])/448)*S[5, Infinity] - 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((55*S[-1, Infinity]^4)/448 + 
     (115*S[-1, 1, 1, 1, Infinity])/56) + 
   (115520*S[-7, -1, Infinity] + 24643*S[5, 3, Infinity] + 
     74240*S[-5, -1, -1, -1, Infinity] - 74240*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 - 
     (125*S[2, Infinity]*S[5, Infinity])/56 - (16545*S[7, Infinity])/1792 - 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (13*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/48 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/8 + (6201*S[2, Infinity]^2)/
        2240 + (13*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/10 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/560 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5133*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (87*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 + (58*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, -2, -2, 2, Infinity] -> (-2747*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (3042313*S[2, Infinity]^4)/784000 + 
   ((-425*S[-1, Infinity]^2)/112 + (8025*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-34429*S[-1, Infinity]*S[2, Infinity])/896 + 
     (19241*S[3, Infinity])/1792)*S[5, Infinity] + 
   (30993*S[-1, Infinity]*S[7, Infinity])/896 + 
   (58*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (33*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (12800*S[-7, -1, Infinity] - 25597*S[5, 3, Infinity] - 
     64000*S[-5, -1, -1, -1, Infinity] + 64000*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-725*S[-1, Infinity]^4)/1344 - 
     (171*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((577*S[-1, Infinity]^5)/1680 - (181*S[-1, Infinity]^3*S[2, Infinity])/
      42 - (419*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/10 - (100*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((4*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (453*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (675*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (5185*S[2, Infinity]*S[5, Infinity])/224 - (78531*S[7, Infinity])/1792 - 
     (46*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (46*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/48 + 
       (55*S[-1, Infinity]^2*S[2, Infinity])/8 + (10791*S[2, Infinity]^2)/
        2240 + (13*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/5 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -1, -2, 2, -2, Infinity] -> S[-1, Infinity]^8/72 + 
   (1031*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (73607*S[2, Infinity]^4)/156800 + ((1717*S[-1, Infinity]^2)/112 - 
     (1103*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 + (2879*S[-1, Infinity]*S[2, Infinity])/56 + 
     (53863*S[3, Infinity])/3584)*S[5, Infinity] - 
   (60295*S[-1, Infinity]*S[7, Infinity])/512 - 
   (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((2197*S[-1, Infinity]^4)/2240 + 
     (3209*S[-1, 1, 1, 1, Infinity])/280) + 
   (-2808*S[-7, -1, Infinity] + 423*S[5, 3, Infinity] + 
     320*S[-5, -1, -1, -1, Infinity] - 320*S[-5, -1, 1, 1, Infinity] + 
     1792*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/140 + 
     (1829*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (11973*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (3259*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (879*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/4 - (34945*S[2, Infinity])/896)*
      S[5, Infinity] + (148171*S[7, Infinity])/1792 + 
     (66*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*(19*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((29*S[-1, Infinity]^4)/48 - 
       (39*S[-1, Infinity]^2*S[2, Infinity])/4 - (25441*S[2, Infinity]^2)/
        2240 - (29*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/60 - 8*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-119*S[-1, Infinity]^6)/360 + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (209*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, -2, 2, 2, Infinity] -> S[-1, Infinity]^8/96 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (510113*S[2, Infinity]^4)/
    392000 + ((445*S[-1, Infinity]^2)/224 + (419*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 - 
     (649*S[-1, Infinity]*S[2, Infinity])/56 + (2133*S[3, Infinity])/448)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/112 - (17*S[-1, 1, 1, 1, Infinity])/
      14) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (64240*S[-7, -1, Infinity] - 2747*S[5, 3, Infinity] - 
     11520*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[1, Infinity]*((2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (25*S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     (139*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     (4441*S[2, Infinity]*S[5, Infinity])/448 - (125723*S[7, Infinity])/
      3584 - (18*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(23*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/48 + 
       (27*S[-1, Infinity]^2*S[2, Infinity])/8 + (751*S[2, Infinity]^2)/140 + 
       (13*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((-2*S[-1, Infinity]^5)/15 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/7 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (120*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-473*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, 2, -2, -2, Infinity] -> -S[-1, Infinity]^8/48 - 
   (5543*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (5071669*S[2, Infinity]^4)/784000 + 
   ((-2109*S[-1, Infinity]^2)/112 - (9201*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-627*S[-1, Infinity]*S[2, Infinity])/112 - 
     (37729*S[3, Infinity])/896)*S[5, Infinity] + 
   (97527*S[-1, Infinity]*S[7, Infinity])/896 + 
   (54*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (93*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-463*S[-1, Infinity]^4)/840 - 
     (342*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (45440*S[-7, -1, Infinity] + 
     21901*S[5, 3, Infinity] + 99840*S[-5, -1, -1, -1, Infinity] - 
     99840*S[-5, -1, 1, 1, Infinity] - 107520*S[-1, 1, 1, 1, Infinity]^2)/
    8960 + S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (347*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (1649*S[2, Infinity]*S[5, Infinity])/448 - (33539*S[7, Infinity])/1792 - 
     (10*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (10*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/8 + (4317*S[2, Infinity]^2)/
        1120 + 4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/15 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((339*S[-1, Infinity]^5)/280 - (241*S[-1, Infinity]^3*S[2, Infinity])/
      28 - (44063*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (319*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/45 - 7*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (305*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, 2, -2, 2, Infinity] -> -S[-1, Infinity]^8/72 + 
   (1923*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (476863*S[2, Infinity]^4)/78400 + 
   ((695*S[-1, Infinity]^2)/448 - (7429*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((291*S[-1, Infinity]*S[2, Infinity])/7 - 
     (79895*S[3, Infinity])/3584)*S[5, Infinity] - 
   (97*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((793*S[-1, Infinity]^4)/1680 + 
     (327*S[-1, 1, 1, 1, Infinity])/70) + 
   (10048*S[-7, -1, Infinity] + 30721*S[5, 3, Infinity] + 
     49664*S[-5, -1, -1, -1, Infinity] - 49664*S[-5, -1, 1, 1, Infinity] - 
     28672*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-97*S[-1, Infinity]^5)/560 + 
     (317*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (2297*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (222*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((-13*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (433*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (1415*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (7571*S[2, Infinity]*S[5, Infinity])/224 + (161515*S[7, Infinity])/
      1792 + (83*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (83*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((17*S[-1, Infinity]^4)/24 - 
       (45*S[-1, Infinity]^2*S[2, Infinity])/4 - (7341*S[2, Infinity]^2)/
        560 - 17*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((23*S[-1, Infinity]^5)/60 - 10*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (201*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 2, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (659*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (5817801*S[2, Infinity]^4)/784000 + 
   ((-331*S[-1, Infinity]^2)/112 + (1129*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (9283*S[-1, Infinity]*S[2, Infinity])/224 + (5153*S[3, Infinity])/224)*
    S[5, Infinity] + (68*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-181*S[-1, Infinity]^4)/280 - 
     (157*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-136320*S[-7, -1, Infinity] - 80669*S[5, 3, Infinity] - 
     138240*S[-5, -1, -1, -1, Infinity] + 102400*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/280 - 
     (255*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (28089*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (117*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/120 - (118*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (329*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (599*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (2899*S[2, Infinity]*S[5, Infinity])/112 - (67545*S[7, Infinity])/1792 - 
     (52*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (4*(6*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/4 + (5143*S[2, Infinity]^2)/
        1120 + 4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/20 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -1, 2, 2, 2, Infinity] -> S[-1, Infinity]^8/144 + 
   (429*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1204521*S[2, Infinity]^4)/784000 + 
   ((817*S[-1, Infinity]^2)/112 + (919*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 - 
     (4937*S[-1, Infinity]*S[2, Infinity])/448 + (11593*S[3, Infinity])/1792)*
    S[5, Infinity] - (643*S[-1, Infinity]*S[7, Infinity])/64 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   2*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/420 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (60800*S[-7, -1, Infinity] - 16689*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (113*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (143*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/4 + (2753*S[2, Infinity])/224)*S[5, Infinity] - 
     (49541*S[7, Infinity])/1792 - (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + S[-1, Infinity]^2*
        S[2, Infinity] + (673*S[2, Infinity]^2)/224 + 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/20 + 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-439*S[-1, Infinity]^5)/1680 + (341*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (7933*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (97*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 - (90*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -2, -2, -2, Infinity] -> S[-1, Infinity]^8/288 + 
   (1051*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (109*S[1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (25867*S[2, Infinity]^4)/39200 + ((723*S[-1, Infinity]^2)/224 + 
     (3431*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-19*S[-1, Infinity]*S[2, Infinity])/112 + (14799*S[3, Infinity])/3584)*
    S[5, Infinity] - (51739*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[1, Infinity]*(-(S[-1, Infinity]*S[2, Infinity]^3)/8 + 
     (83*S[2, Infinity]^2*S[3, Infinity])/448 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (737*S[2, Infinity]*S[5, Infinity])/448 + (4173*S[7, Infinity])/1792 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((397*S[-1, Infinity]^4)/6720 + 
     (443*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (38*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (8128*S[-7, -1, Infinity] - 4231*S[5, 3, Infinity] - 
     9728*S[-5, -1, -1, -1, Infinity] + 9728*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-107*S[-1, Infinity]^5)/560 + 
     (223*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (7167*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -2, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/288 - (69*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (254701*S[2, Infinity]^4)/112000 + 
   ((-49*S[-1, Infinity]^2)/32 - (311*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (2061*S[3, Infinity]*S[5, Infinity])/512 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
     (1003*S[2, Infinity]^3)/1120 - (21*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (35*S[3, Infinity]^2)/64 + 
     S[2, Infinity]*(S[-1, Infinity]^4/8 - 3*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/80 - 
     (69*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/48 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (483*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (1597*S[5, 3, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     (159*S[2, Infinity]*S[5, Infinity])/32 - (6199*S[7, Infinity])/512 - 
     2*S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (93*S[2, Infinity]^2)/40 + 
       (7*S[-1, 1, 1, 1, Infinity])/2)), S[1, 1, -2, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/144 + (291*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (42889*S[2, Infinity]^4)/16000 + ((49*S[-1, Infinity]^2)/32 + 
     (311*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/16 - (1283*S[3, Infinity])/256)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/320 + 
     (291*S[-1, 1, 1, 1, Infinity])/40) + 
   (-213*S[5, 3, Infinity] - 5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]^2*((5*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
     (45*S[2, Infinity]^3)/32 + (35*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 + (63*S[3, Infinity]^2)/32 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/24 + 
       5*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/120 + (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (2037*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/5 - 10*S[-1, Infinity]*
      S[3, Infinity]^2 - (719*S[2, Infinity]*S[5, Infinity])/32 + 
     (16475*S[7, Infinity])/256 + 8*S[-1, Infinity]*S[-5, -1, Infinity] + 
     8*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/12 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/4 - (681*S[2, Infinity]^2)/64 - 
       14*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((2*S[-1, Infinity]^5)/15 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 - S[-5, -1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, 1, -2, 2, 2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (439*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (407903*S[2, Infinity]^4)/112000 + 
   ((-365*S[-1, Infinity]^2)/32 - (2175*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (171*S[-1, Infinity]*S[2, Infinity])/32 - (1673*S[3, Infinity])/128)*
    S[5, Infinity] + (4969*S[-1, Infinity]*S[7, Infinity])/64 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 2*S[-1, Infinity]*
    (3*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity]) + 
   S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
     (37*S[2, Infinity]^3)/160 - (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (13*S[3, Infinity]^2)/8 + 
     (31*S[-1, Infinity]*S[5, Infinity])/8 + 2*S[-5, -1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((-353*S[-1, Infinity]^4)/960 - 
     (247*S[-1, 1, 1, 1, Infinity])/40) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (28160*S[-7, -1, Infinity] + 8927*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     (351*S[2, Infinity]*S[5, Infinity])/64 - (3401*S[7, Infinity])/256 - 
     2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     2*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (789*S[2, Infinity]^2)/320 + 
       (7*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/15 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((4*S[-1, Infinity]^5)/5 - (43*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (537*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/36 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (25*S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/2), S[1, 1, 2, -2, -2, Infinity] -> 
  S[-1, Infinity]^8/96 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (145329*S[2, Infinity]^4)/112000 + (21*S[2, Infinity]*S[3, Infinity]^2)/
    64 + ((-279*S[-1, Infinity]*S[2, Infinity])/64 + (171*S[3, Infinity])/64)*
    S[5, Infinity] + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/
      2 - (41*S[2, Infinity]^3)/280 - (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/4 - (91*S[3, Infinity]^2)/64 + 
     S[2, Infinity]*(S[-1, Infinity]^4/12 - 2*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/60 - (7*S[-1, 1, 1, 1, Infinity])/
      5) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (4283*S[5, 3, Infinity] + 15360*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[1, Infinity]*((2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     (1039*S[2, Infinity]*S[5, Infinity])/64 - (26075*S[7, Infinity])/512 - 
     6*S[-1, Infinity]*S[-5, -1, Infinity] - 
     6*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/16 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/8 + (333*S[2, Infinity]^2)/40 + 
       (21*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((-2*S[-1, Infinity]^5)/15 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/80 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-9*S[-5, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[1, 1, 2, -2, 2, Infinity] -> 
  S[-1, Infinity]^8/72 + (267*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (56433*S[2, Infinity]^4)/19600 + ((3295*S[-1, Infinity]^2)/224 + 
     (3337*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((1321*S[-1, Infinity]*S[2, Infinity])/896 + (44635*S[3, Infinity])/1792)*
    S[5, Infinity] - (317875*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (79*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((347*S[-1, Infinity]^4)/1680 + 
     (703*S[-1, 1, 1, 1, Infinity])/70) + 
   (-17984*S[-7, -1, Infinity] - 24665*S[5, 3, Infinity] - 
     40448*S[-5, -1, -1, -1, Infinity] + 40448*S[-5, -1, 1, 1, Infinity] + 
     28672*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[1, Infinity]^2*(S[-1, Infinity]^2*S[2, Infinity]^2 + 
     (73*S[2, Infinity]^3)/70 + (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/2 + (35*S[3, Infinity]^2)/32 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/6 + 4*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-373*S[-1, Infinity]^5)/420 + 
     (1051*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3659*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (267*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (37*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (1039*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (13289*S[2, Infinity]*S[5, Infinity])/896 + (67675*S[7, Infinity])/
      1792 + (37*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (37*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/24 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/8 - (2671*S[2, Infinity]^2)/
        560 - 7*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/15 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/36 + 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-1201*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, 2, 2, -2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^3)/4 - (8529*S[2, Infinity]^4)/3500 + 
   ((-209*S[-1, Infinity]^2)/32 - (65*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 - (7*S[-1, Infinity]*S[2, Infinity])/2 - 
     (291*S[3, Infinity])/64)*S[5, Infinity] + 
   (5303*S[-1, Infinity]*S[7, Infinity])/512 + 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 4*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + S[1, Infinity]^2*
    ((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (1943*S[2, Infinity]^3)/
      1120 - (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (17*S[3, Infinity]^2)/32 - (31*S[-1, Infinity]*S[5, Infinity])/8 - 
     2*S[-5, -1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^4/8 - 
       3*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    (S[-1, Infinity]^4/15 - (23*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 16*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-17200*S[-7, -1, Infinity] + 449*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/10 + 
     (31*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (85*S[2, Infinity]*S[5, Infinity])/8 - (10327*S[7, Infinity])/512 - 
     4*S[-1, Infinity]*S[-5, -1, Infinity] - 
     4*(2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (19*S[2, Infinity]^2)/20 + 
       (7*S[-1, 1, 1, 1, Infinity])/2)) + S[3, Infinity]*
    ((67*S[-1, Infinity]^5)/240 - (53*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (52*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     16*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 2, 2, 2, Infinity] -> 
  (31*S[1, Infinity]^2*S[2, Infinity]^3)/140 + (981*S[2, Infinity]^4)/500 + 
   2*S[2, Infinity]*S[3, Infinity]^2 - 11*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((7*S[2, Infinity]^2*S[3, Infinity])/5 + 
     2*S[2, Infinity]*S[5, Infinity] - (157*S[7, Infinity])/16) - 
   (9*S[5, 3, Infinity])/5, S[1, -1, -2, -1, -3, Infinity] -> 
  (-7*S[-1, Infinity]^8)/576 - (3571*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (420169*S[2, Infinity]^4)/56000 + 
   ((21*S[-1, Infinity]^2)/32 - (1163*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/48 + (37*S[-1, Infinity]*S[2, Infinity])/32 + 
     (1089*S[3, Infinity])/128)*S[5, Infinity] - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    ((-47*S[-1, Infinity]^4)/240 - (29*S[-1, 1, 1, 1, Infinity])/5) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (39760*S[-7, -1, Infinity] + 6479*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 9600*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/480 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (107*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (419*S[-1, Infinity]*S[2, Infinity]^3)/240 + 
     (30*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-31*S[-1, Infinity]^2)/4 - (61*S[2, Infinity])/28)*S[5, Infinity] + 
     (50559*S[7, Infinity])/1792 - (13*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (-69*S[-5, 1, 1, Infinity] + 113*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 - (683*S[2, Infinity]^2)/280 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/30 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((23*S[-1, Infinity]^6)/240 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(-17*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[1, -1, -2, -1, 3, Infinity] -> (24571*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (1567*S[2, Infinity]^4)/22400 + 
   ((863*S[-1, Infinity]^2)/448 - (4581*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/32 + 
     (1255*S[-1, Infinity]*S[2, Infinity])/28 + (14347*S[3, Infinity])/256)*
    S[5, Infinity] + (12605*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (101*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] - 57*S[5, -1, -1, Infinity]))/
    14 + (28160*S[-7, -1, Infinity] + 6173*S[5, 3, Infinity] + 
     4864*S[-5, -1, -1, -1, Infinity] + 2816*S[-5, -1, 1, 1, Infinity])/256 + 
   S[2, Infinity]^2*((127*S[-1, Infinity]^4)/960 - 
     (127*S[-1, 1, 1, 1, Infinity])/40) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (1417*S[-1, Infinity]*S[2, Infinity]^3)/420 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-93*S[-1, Infinity]^2)/16 - (1311*S[2, Infinity])/64)*S[5, Infinity] + 
     (2711*S[7, Infinity])/128 + 2*S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*(S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 - (519*S[2, Infinity]^2)/320 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-17*S[-1, Infinity]^5)/240 + (95*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (44887*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (119*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (3*(29*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[1, -1, -2, 1, -3, Infinity] -> S[-1, Infinity]^8/288 - 
   (731*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (1283*S[2, Infinity]^4)/1120 + ((-507*S[-1, Infinity]^2)/448 + 
     (291*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 - (3097*S[-1, Infinity]*S[2, Infinity])/224 + 
     (3807*S[3, Infinity])/512)*S[5, Infinity] + 
   (7643*S[-1, Infinity]*S[7, Infinity])/448 + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/30 - 
     (2*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - (29*S[-5, -1, Infinity])/8 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (48*S[-7, -1, Infinity] - 27*S[5, 3, Infinity] - 
     160*S[-5, -1, -1, -1, Infinity] + 160*S[-5, -1, 1, 1, Infinity] + 
     128*S[-1, 1, 1, 1, Infinity]^2)/64 + S[1, Infinity]*
    ((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (2651*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (1049*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((31*S[-1, Infinity]^2)/16 + (10391*S[2, Infinity])/896)*
      S[5, Infinity] - (41887*S[7, Infinity])/1792 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-25*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/16 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/4 + (5231*S[2, Infinity]^2)/
        2240 + (9*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((47*S[-1, Infinity]^5)/480 - (41*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (991*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/4), S[1, -1, -2, 1, 3, Infinity] -> 
  (-703*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (4917*S[2, Infinity]^4)/49000 + ((79*S[-1, Infinity]^2)/448 + 
     (125*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 - (887*S[-1, Infinity]*S[2, Infinity])/224 - 
     (26905*S[3, Infinity])/3584)*S[5, Infinity] + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (99*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (34560*S[-7, -1, Infinity] - 46469*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*(S[-1, Infinity]^4/105 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    ((1163*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (409*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (1371*S[2, Infinity]*S[5, Infinity])/448 - (11315*S[7, Infinity])/1792 - 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-9*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (47*S[2, Infinity]^2)/28 + 
       S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (-S[-1, Infinity]^5/420 + (S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (6283*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 2, -1, -3, Infinity] -> 
  (-23993*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (108981*S[2, Infinity]^4)/784000 + 
   ((-519*S[-1, Infinity]^2)/224 + (8087*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/32 - 
     (10285*S[-1, Infinity]*S[2, Infinity])/224 - (50867*S[3, Infinity])/896)*
    S[5, Infinity] - (7519*S[-1, Infinity]*S[7, Infinity])/896 + 
   (101*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-18*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity]))/
    7 + (-997760*S[-7, -1, Infinity] - 222289*S[5, 3, Infinity] - 
     176640*S[-5, -1, -1, -1, Infinity] - 92160*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-179*S[-1, Infinity]^4)/1680 + 
     (179*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((27*S[-1, Infinity]^5)/280 - (709*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (48513*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (407*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (4841*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (23*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((93*S[-1, Infinity]^2)/16 + (1271*S[2, Infinity])/64)*S[5, Infinity] - 
     (2885*S[7, Infinity])/128 - 2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     2*(S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (23*S[2, Infinity]^2)/16 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (-S[-1, Infinity]^6/40 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (1157*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, 2, -1, 3, Infinity] -> S[-1, Infinity]^8/96 + 
   (1289*S[-1, Infinity]^2*S[2, Infinity]^3)/672 + 
   (666597*S[2, Infinity]^4)/98000 + ((-1635*S[-1, Infinity]^2)/896 + 
     (5091*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/48 + (845*S[-1, Infinity]*S[2, Infinity])/224 + 
     (653*S[3, Infinity])/1792)*S[5, Infinity] + 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/336 + 
     (83*S[-1, 1, 1, 1, Infinity])/14) + 
   (-563840*S[-7, -1, Infinity] - 64521*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] - 149120*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (2161*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (881*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((31*S[-1, Infinity]^2)/4 + (1003*S[2, Infinity])/224)*S[5, Infinity] - 
     (13857*S[7, Infinity])/448 + (4*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (32*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (1679*S[2, Infinity]^2)/560 + 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/30 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/840 - (281*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (521*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (4*(-53*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[1, -1, 2, 1, -3, Infinity] -> -S[-1, Infinity]^8/144 + 
   (289*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (1326669*S[2, Infinity]^4)/392000 + 
   ((-23*S[-1, Infinity]^2)/224 - (3027*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 + 
     (4679*S[-1, Infinity]*S[2, Infinity])/224 - (19687*S[3, Infinity])/1792)*
    S[5, Infinity] - (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/224 + 
     (45*S[-1, 1, 1, 1, Infinity])/28) + S[2, Infinity]*
    (S[-1, Infinity]^6/48 + (289*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (64000*S[-7, -1, Infinity] + 36627*S[5, 3, Infinity] + 
     65280*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (208*S[-1, Infinity]*S[2, Infinity]^3)/105 - 
     (1305*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (9091*S[2, Infinity]*S[5, Infinity])/448 + (42479*S[7, Infinity])/896 + 
     (44*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (37*S[-5, 1, 1, Infinity] + 44*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/32 - 
       (75*S[-1, Infinity]^2*S[2, Infinity])/16 - (7337*S[2, Infinity]^2)/
        1120 - (33*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/8 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-17*S[-1, Infinity]^5)/840 + (341*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (1223*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 2, 1, 3, Infinity] -> 
  -S[-1, Infinity]^8/192 - (2671*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (503089*S[2, Infinity]^4)/156800 + 
   ((-7183*S[-1, Infinity]^2)/896 - (7433*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 + 
     (69*S[-1, Infinity]*S[2, Infinity])/56 - (30285*S[3, Infinity])/1792)*
    S[5, Infinity] + (25877*S[-1, Infinity]*S[7, Infinity])/512 + 
   (87*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/448 - 
     (141*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + (697*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) - 
   (3*(-2560*S[-7, -1, Infinity] - 2981*S[5, 3, Infinity] - 
      6912*S[-5, -1, -1, -1, Infinity] + 6912*S[-5, -1, 1, 1, Infinity] + 
      3584*S[-1, 1, 1, 1, Infinity]^2))/3584 + 
   S[1, Infinity]*((-181*S[-1, Infinity]*S[2, Infinity]^3)/420 + 
     (515*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-31*S[-1, Infinity]^2)/16 - (885*S[2, Infinity])/896)*S[5, Infinity] - 
     (11223*S[7, Infinity])/3584 - (3*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (-17*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/32 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (1707*S[2, Infinity]^2)/
        1120 + (9*S[-1, 1, 1, 1, Infinity])/4)) + 
   S[3, Infinity]*((229*S[-1, Infinity]^5)/560 - 
     (159*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (8753*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (81*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -2, -1, -3, Infinity] -> 
  (5*S[-1, Infinity]^8)/576 + (99*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (6815693*S[2, Infinity]^4)/2352000 + 
   ((97*S[-1, Infinity]^2)/64 + (6743*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/48 + (29*S[-1, Infinity]*S[2, Infinity])/16 - 
     (78473*S[3, Infinity])/3584)*S[5, Infinity] - 
   (40987*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 52*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((-94*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (1229*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-93*S[-1, Infinity]^2)/8 - (12507*S[2, Infinity])/896)*
      S[5, Infinity] + (42717*S[7, Infinity])/1792 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-19*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (1381*S[2, Infinity]^2)/
        560 - (7*S[-1, 1, 1, 1, Infinity])/4)) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((241*S[-1, Infinity]^4)/3360 + 
     (809*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/48 + (547*S[-5, -1, Infinity])/28 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-97000*S[-7, -1, Infinity] - 22299*S[5, 3, Infinity] - 
     18720*S[-5, -1, -1, -1, Infinity] - 10400*S[-5, -1, 1, 1, Infinity] + 
     11200*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[1, Infinity]^2*((S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
     (559*S[2, Infinity]^3)/672 + (9*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (15*S[3, Infinity]^2)/16 + 
     (155*S[-1, Infinity]*S[5, Infinity])/32 + 2*S[-5, -1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-493*S[-1, Infinity]^5)/1680 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (33*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (239*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, 1, -2, -1, 3, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3) - (22219*S[2, Infinity]^4)/48000 + 
   ((15*S[-1, Infinity]^2)/32 + (191*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (-3*S[-1, Infinity]*S[2, Infinity] - (3419*S[3, Infinity])/512)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   3*S[2, Infinity]*S[-5, -1, Infinity] + 
   (23680*S[-7, -1, Infinity] - 4803*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/
    2560 + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
     (1279*S[2, Infinity]^3)/3360 + (9*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (53*S[3, Infinity]^2)/128 + 
     (5*S[-5, -1, Infinity])/2 + S[2, Infinity]*(S[-1, Infinity]^4/12 - 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    ((41*S[-1, Infinity]^4)/240 - (41*S[-1, 1, 1, 1, Infinity])/10) + 
   S[1, Infinity]*((197*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (125*S[-1, Infinity]*S[3, Infinity]^2)/56 - 
     (191*S[2, Infinity]*S[5, Infinity])/448 + (865*S[7, Infinity])/896 - 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (25*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/24 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (3123*S[2, Infinity]^2)/
        1120 + 7*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/120 + 
     (S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (37*S[-1, Infinity]*S[2, Infinity]^2)/160 + S[-1, 1, 1, 1, 1, 
      Infinity]), S[1, 1, -2, 1, -3, Infinity] -> 
  (-29*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (923*S[2, Infinity]^4)/960 + 
   ((-7*S[-1, Infinity]^2)/16 - (149*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (605*S[3, Infinity]*S[5, Infinity])/256 + (113*S[5, 3, Infinity])/256 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
     (37*S[2, Infinity]^3)/84 - (21*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (3*S[3, Infinity]^2)/16 + 
     S[2, Infinity]*(S[-1, Infinity]^4/16 - (3*S[-1, 1, 1, 1, Infinity])/
        2)) + S[2, Infinity]^2*((29*S[-1, Infinity]^4)/240 - 
     (29*S[-1, 1, 1, 1, Infinity])/10) + S[1, Infinity]*
    ((7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     (57*S[2, Infinity]*S[5, Infinity])/16 - (1107*S[7, Infinity])/128 - 
     S[-1, Infinity]*S[-5, -1, Infinity] - S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity] + S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (29*S[2, Infinity]^2)/20 + 
       (7*S[-1, 1, 1, 1, Infinity])/4)) + S[3, Infinity]*
    (S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (203*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -2, 1, 3, Infinity] -> (31*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (217039*S[2, Infinity]^4)/336000 + 
   ((41*S[-1, Infinity]^2)/64 + (421*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 - (33*S[-1, Infinity]*S[2, Infinity])/32 + 
     (21*S[3, Infinity])/256)*S[5, Infinity] - 
   (2929*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[1, Infinity]^2*((-493*S[2, Infinity]^3)/3360 + 
     (7*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/32 - 
     S[-5, -1, Infinity]/2) - (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   S[2, Infinity]*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]))/2 + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (7*S[2, Infinity]^2*S[3, Infinity])/32 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/64 - 
     (29*S[2, Infinity]*S[5, Infinity])/16 + (715*S[7, Infinity])/256 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity])/2) + 
   (-6400*S[-7, -1, Infinity] - 1737*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity])/1280 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/64 + (3*S[-1, 1, 1, 1, Infinity])/
      8) + S[3, Infinity]*(-S[-1, Infinity]^5/30 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]/4), S[1, 1, 2, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/192 + (11*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (75763*S[2, Infinity]^4)/42000 + ((33*S[-1, Infinity]^2)/64 + 
     (39*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (3*S[-1, Infinity]*S[2, Infinity] + (27*S[3, Infinity])/256)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((-789*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (117*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (2081*S[2, Infinity]*S[5, Infinity])/448 - (48561*S[7, Infinity])/3584 - 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/24 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (113*S[2, Infinity]^2)/140 - 
       5*S[-1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (9*S[2, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + 3*S[-5, -1, Infinity] + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-11840*S[-7, -1, Infinity] - 353*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2)/1280 + S[1, Infinity]^2*
    ((S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (139*S[2, Infinity]^3)/240 - 
     (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (41*S[3, Infinity]^2)/64 - (5*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/12 + 2*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/480 + 
     (35*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 2, -1, 3, Infinity] -> 
  -S[-1, Infinity]^8/192 + (117*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (294143*S[2, Infinity]^4)/67200 + 
   ((277*S[-1, Infinity]^2)/112 - (833*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/48 - 
     (439*S[-1, Infinity]*S[2, Infinity])/224 + (931*S[3, Infinity])/32)*
    S[5, Infinity] + (19099*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] - 71*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
     (1811*S[2, Infinity]^3)/1680 - (9*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (57*S[3, Infinity]^2)/64 - 
     (155*S[-1, Infinity]*S[5, Infinity])/32 - 2*S[-5, -1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((1469*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (443*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((93*S[-1, Infinity]^2)/8 + (12309*S[2, Infinity])/896)*S[5, Infinity] - 
     (16915*S[7, Infinity])/896 + (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (12*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (813*S[2, Infinity]^2)/1120 + 
       S[-1, 1, 1, 1, Infinity]/4)) + S[2, Infinity]^2*
    ((-47*S[-1, Infinity]^4)/960 - (133*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (97*S[-5, -1, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (21888*S[-7, -1, Infinity] + 4883*S[5, 3, Infinity] + 
     3072*S[-5, -1, -1, -1, Infinity] + 3584*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*(S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/
      6 + (1065*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     11*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 2, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/576 + (59*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (370693*S[2, Infinity]^4)/588000 + 
   ((863*S[-1, Infinity]^2)/448 - (97*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 + (99*S[-1, Infinity]*S[2, Infinity])/112 + 
     (1381*S[3, Infinity])/224)*S[5, Infinity] - 
   (30937*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((-3*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (289*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (1061*S[2, Infinity]*S[5, Infinity])/224 + (17273*S[7, Infinity])/1792 + 
     (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (13*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (9*S[2, Infinity]^2)/70 - 
       (7*S[-1, 1, 1, 1, Infinity])/4)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/840 + 
     (191*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/48 - (26*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-2640*S[-7, -1, Infinity] - 2909*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 4160*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2)/2240 + S[1, Infinity]^2*
    ((3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (769*S[2, Infinity]^3)/1680 + 
     (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (17*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/32 + 
     S[-5, -1, Infinity]/2 + S[2, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, 1, 1, 1, Infinity])/2)) + S[3, Infinity]*
    ((-349*S[-1, Infinity]^5)/3360 + (251*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (136*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, 1, 3, Infinity] -> 
  (-31*S[2, Infinity]^4)/2100 + (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   S[1, Infinity]^2*((17*S[2, Infinity]^3)/84 + S[3, Infinity]^2/4) + 
   2*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((-11*S[2, Infinity]^2*S[3, Infinity])/10 + 
     (9*S[2, Infinity]*S[5, Infinity])/2 - (61*S[7, Infinity])/8) + 
   (5*S[5, 3, Infinity])/2, S[1, -1, -1, -4, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (2647*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (1483*S[2, Infinity]^4)/1120 + ((25*S[-1, Infinity]^2)/32 + 
     (871*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((107*S[-1, Infinity]^3)/48 - (4849*S[-1, Infinity]*S[2, Infinity])/128 - 
     (11397*S[3, Infinity])/512)*S[5, Infinity] + 
   7*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (59*S[-1, Infinity]*S[2, Infinity]^3)/60 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/2 + (3607*S[2, Infinity]^2)/1120)*
      S[3, Infinity] - (449*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((437*S[-1, Infinity]^2)/64 + (9271*S[2, Infinity])/448)*
      S[5, Infinity] - (69865*S[7, Infinity])/1792 - 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (34*S[-5, 1, 1, Infinity] - 113*S[5, -1, -1, Infinity])/14) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/3 - S[-1, 1, 1, 1, Infinity]/2) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-20832*S[-7, -1, Infinity] - 4397*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] - 1664*S[-5, -1, 1, 1, Infinity] - 
     768*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/480 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (4643*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 + (85*S[-5, -1, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, -1, -4, 1, Infinity] -> S[-1, Infinity]^8/192 - 
   (47*S[-1, Infinity]^2*S[2, Infinity]^3)/120 + 
   (6759*S[2, Infinity]^4)/2800 + ((-67*S[-1, Infinity]^2)/224 + 
     (333*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((679*S[-1, Infinity]^3)/96 - (2535*S[-1, Infinity]*S[2, Infinity])/224 - 
     (14271*S[3, Infinity])/512)*S[5, Infinity] - 
   (8167*S[-1, Infinity]*S[7, Infinity])/448 + 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]*((461*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((S[-1, Infinity]^2*S[2, Infinity])/4 + (2297*S[2, Infinity]^2)/1120)*
      S[3, Infinity] - (137*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((127*S[-1, Infinity]^2)/64 + (4415*S[2, Infinity])/448)*
      S[5, Infinity] - (37197*S[7, Infinity])/1792 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (38*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity])/14) - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (9*S[2, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + (41*S[-5, -1, Infinity])/2 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-3712*S[-7, -1, Infinity] - 821*S[5, 3, Infinity] - 
     544*S[-5, -1, -1, -1, Infinity] - 384*S[-5, -1, 1, 1, Infinity] + 
     192*S[-1, 1, 1, 1, Infinity]^2)/64 + S[3, Infinity]*
    ((-31*S[-1, Infinity]^5)/240 + (S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (13739*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/4), S[1, -1, -1, 4, -1, Infinity] -> 
  (317*S[-1, Infinity]^2*S[2, Infinity]^3)/672 + (1040351*S[2, Infinity]^4)/
    784000 + ((-2761*S[-1, Infinity]^2)/896 - (881*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((169*S[-1, Infinity]^3)/48 + 
     (24963*S[-1, Infinity]*S[2, Infinity])/896 + (9867*S[3, Infinity])/896)*
    S[5, Infinity] - (4913*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (221*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     ((-21*S[-1, Infinity]^2*S[2, Infinity])/16 - (619*S[2, Infinity]^2)/280)*
      S[3, Infinity] + (733*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-231*S[-1, Infinity]^2)/32 - (3509*S[2, Infinity])/224)*
      S[5, Infinity] + (51277*S[7, Infinity])/1792 - 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (2*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/7) - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 + (544640*S[-7, -1, Infinity] + 92679*S[5, 3, Infinity] + 
     58880*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-2951*S[-1, Infinity]^4)/6720 - 
     (409*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((89*S[-1, Infinity]^5)/672 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (2369*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (145*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - (118*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, -1, 4, 1, Infinity] -> (7*S[-1, Infinity]^2*S[2, Infinity]^3)/48 - 
   (399667*S[2, Infinity]^4)/392000 + 
   ((-349*S[-1, Infinity]^2)/448 - (5853*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-17*S[-1, Infinity]^3)/48 + 
     (3193*S[-1, Infinity]*S[2, Infinity])/224 + (41431*S[3, Infinity])/3584)*
    S[5, Infinity] - (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (179*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]*((-583*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (-(S[-1, Infinity]^2*S[2, Infinity])/2 - (675*S[2, Infinity]^2)/224)*
      S[3, Infinity] + (197*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-107*S[-1, Infinity]^2)/32 - (75*S[2, Infinity])/7)*S[5, Infinity] + 
     (97641*S[7, Infinity])/3584 + (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (-3*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity])/14) + 
   (579520*S[-7, -1, Infinity] + 125183*S[5, 3, Infinity] + 
     88320*S[-5, -1, -1, -1, Infinity] + 28160*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((127*S[-1, Infinity]^4)/1680 - 
     (127*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (S[-1, Infinity]^5/140 + (11*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (11779*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 1, -4, -1, Infinity] -> 
  S[-1, Infinity]^8/192 + (239*S[-1, Infinity]^2*S[2, Infinity]^3)/240 - 
   (1287767*S[2, Infinity]^4)/784000 + 
   ((-1661*S[-1, Infinity]^2)/896 - (3993*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((431*S[-1, Infinity]^3)/96 + 
     (913*S[-1, Infinity]*S[2, Infinity])/112 + (9759*S[3, Infinity])/448)*
    S[5, Infinity] - (24293*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-395*S[-1, Infinity]^4)/672 + 
     (17*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (359680*S[-7, -1, Infinity] + 59447*S[5, 3, Infinity] + 
     24960*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (349*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (975*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-231*S[-1, Infinity]^2)/32 - (789*S[2, Infinity])/112)*
      S[5, Infinity] + (18651*S[7, Infinity])/1792 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-54*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 - (1807*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-101*S[-1, Infinity]^5)/840 + 
     (97*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (16753*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (101*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 - (579*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 1, -4, 1, Infinity] -> (-109*S[-1, Infinity]^2*S[2, Infinity]^3)/
    168 - (506901*S[2, Infinity]^4)/392000 + 
   (-S[-1, Infinity]^2/28 - (59*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((59*S[-1, Infinity]^3)/96 + (1123*S[-1, Infinity]*S[2, Infinity])/448 - 
     (1805*S[3, Infinity])/896)*S[5, Infinity] - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (143*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (211200*S[-7, -1, Infinity] + 28467*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 34560*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((73*S[-1, Infinity]^4)/420 - 
     (146*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    ((53*S[-1, Infinity]*S[2, Infinity]^3)/168 + 
     (23*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-107*S[-1, Infinity]^2)/32 + (27*S[2, Infinity])/32)*S[5, Infinity] - 
     (403*S[7, Infinity])/128 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/2 - 
     (5*S[-5, 1, 1, Infinity])/2 + S[3, Infinity]*(-S[-1, Infinity]^4/6 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (143*S[2, Infinity]^2)/80 + 
       4*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/420 + (13*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (129*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 1, 4, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (8*S[-1, Infinity]^2*S[2, Infinity]^3)/21 + 
   (1833*S[2, Infinity]^4)/2450 + ((129*S[-1, Infinity]^2)/56 + 
     (7123*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-63*S[-1, Infinity]^3)/32 - (2657*S[-1, Infinity]*S[2, Infinity])/224 - 
     (37817*S[3, Infinity])/1792)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((1903*S[-1, Infinity]^4)/3360 - 
     (13*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-87552*S[-7, -1, Infinity] - 15587*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[1, Infinity]*((-9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/6 - 
     (1905*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((437*S[-1, Infinity]^2)/64 + (2595*S[2, Infinity])/448)*
      S[5, Infinity] - (15819*S[7, Infinity])/1792 + 
     (73*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 + (23*S[2, Infinity]^2)/280 - 
       (5*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/8 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/336 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (785*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (155*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 + (130*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 1, 4, 1, Infinity] -> S[-1, Infinity]^8/288 - 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + (223269*S[2, Infinity]^4)/
    196000 + ((-789*S[-1, Infinity]^2)/448 + (1873*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/8 + 
     (2097*S[-1, Infinity]*S[2, Infinity])/448 - (15207*S[3, Infinity])/1792)*
    S[5, Infinity] - (31611*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity]))/
    7 + S[1, Infinity]*((-163*S[-1, Infinity]*S[2, Infinity]^3)/420 - 
     (41*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((127*S[-1, Infinity]^2)/64 - (379*S[2, Infinity])/64)*S[5, Infinity] + 
     (141*S[7, Infinity])/16 + (5*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[5, -1, -1, Infinity] + S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/16 - (11*S[2, Infinity]^2)/16 - 
       (5*S[-1, 1, 1, 1, Infinity])/4)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/3360 + 
     (463*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + (499*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-334720*S[-7, -1, Infinity] - 43621*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/210 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (83*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (141*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 1, -1, -4, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 + (2039*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (438301*S[2, Infinity]^4)/336000 + 
   ((421*S[-1, Infinity]^2)/896 - (357*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-803*S[-1, Infinity]^3)/192 + 
     (841*S[-1, Infinity]*S[2, Infinity])/448 + (1813*S[3, Infinity])/256)*
    S[5, Infinity] + (10069*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[1, Infinity]^2*((3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
     (491*S[2, Infinity]^3)/1680 - (3*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/4 + (33*S[3, Infinity]^2)/64 - 
     (59*S[-1, Infinity]*S[5, Infinity])/64 - 2*S[-5, -1, Infinity]) - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((83*S[-1, Infinity]^4)/320 - 
     (69*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-1120*S[-7, -1, Infinity] + 3907*S[5, 3, Infinity] + 
     5760*S[-5, -1, -1, -1, Infinity] - 1920*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((-9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (61*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (247*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((231*S[-1, Infinity]^2)/32 + (5073*S[2, Infinity])/448)*
      S[5, Infinity] - (33669*S[7, Infinity])/1792 + 
     (59*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (38*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (2557*S[2, Infinity]^2)/2240 - 
       S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*(S[-1, Infinity]^5/8 - 
       3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/96 + 
     (S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (1331*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((3*S[-1, Infinity]^6)/80 - S[-5, -1, Infinity]/2 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -1, -4, 1, Infinity] -> (111*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (2273959*S[2, Infinity]^4)/1176000 + 
   ((9*S[-1, Infinity]^2)/56 + (215*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-59*S[-1, Infinity]^3)/192 - (1949*S[-1, Infinity]*S[2, Infinity])/448 - 
     (7093*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[1, Infinity]^2*((53*S[2, Infinity]^3)/336 - 
     (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
     (5*S[3, Infinity]^2)/16 - (59*S[-1, Infinity]*S[5, Infinity])/64 - 
     (5*S[-5, -1, Infinity])/4) + (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/
    7 + (19*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-155200*S[-7, -1, Infinity] - 21481*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity])/
    8960 + S[1, Infinity]*((-179*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (95*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((107*S[-1, Infinity]^2)/32 + (1539*S[2, Infinity])/448)*
      S[5, Infinity] - (1475*S[7, Infinity])/112 + 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (19*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/
        2 + (125*S[2, Infinity]^2)/112 - 4*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/420 + 
     (146*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/280 - (5*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (113*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -1, 4, -1, Infinity] -> 
  S[-1, Infinity]^8/144 - (381*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1003129*S[2, Infinity]^4)/1176000 + 
   ((11*S[-1, Infinity]^2)/28 - (1033*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-23*S[-1, Infinity]^3)/16 + (2333*S[-1, Infinity]*S[2, Infinity])/448 + 
     (2341*S[3, Infinity])/896)*S[5, Infinity] + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
     (47*S[2, Infinity]^3)/210 + (15*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (21*S[3, Infinity]^2)/64 + 
     (17*S[-1, Infinity]*S[5, Infinity])/32 + 2*S[-5, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-127*S[-1, Infinity]^4)/672 + 
     (43*S[-1, 1, 1, 1, Infinity])/28) + 
   (199040*S[-7, -1, Infinity] + 31529*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (47*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-313*S[-1, Infinity]^2)/64 - (6157*S[2, Infinity])/448)*
      S[5, Infinity] + (47749*S[7, Infinity])/1792 - 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-11*S[-5, 1, 1, Infinity] + 38*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/16 - (2189*S[2, Infinity]^2)/1120 + 
       (5*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-109*S[-1, Infinity]^5)/3360 + 
     (151*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (353*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (109*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 - (123*S[-5, -1, Infinity])/
      28 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, -1, 4, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (219*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1678277*S[2, Infinity]^4)/1176000 + 
   ((-747*S[-1, Infinity]^2)/896 - (5867*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-139*S[-1, Infinity]^3)/32 + 
     (1997*S[-1, Infinity]*S[2, Infinity])/448 + (6823*S[3, Infinity])/448)*
    S[5, Infinity] + (2681*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[1, Infinity]^2*((-179*S[2, Infinity]^3)/1680 + 
     (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (11*S[3, Infinity]^2)/128 + (17*S[-1, Infinity]*S[5, Infinity])/32 + 
     (3*S[-5, -1, Infinity])/4) - (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/
    14 - S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 
     5*S[5, -1, -1, Infinity]) + S[2, Infinity]^2*
    ((-103*S[-1, Infinity]^4)/3360 - (527*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (291*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (302080*S[-7, -1, Infinity] + 65843*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((57*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (355*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-127*S[-1, Infinity]^2)/64 - (1705*S[2, Infinity])/448)*
      S[5, Infinity] + (10215*S[7, Infinity])/1792 - 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-25*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 - (327*S[2, Infinity]^2)/1120 + 
       (5*S[-1, 1, 1, 1, Infinity])/4)) + S[3, Infinity]*
    ((299*S[-1, Infinity]^5)/1680 - (23*S[-1, Infinity]^3*S[2, Infinity])/
      28 + (997*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (137*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, 1, 1, -4, -1, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (11*S[2, Infinity]^4)/12000 + 
   ((-15*S[-1, Infinity]^2)/16 - (3*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   S[1, Infinity]^3*(-(S[-1, Infinity]*S[2, Infinity]^2)/8 + 
     (S[2, Infinity]*S[3, Infinity])/8 - (59*S[5, Infinity])/192) + 
   ((31*S[-1, Infinity]^3)/32 - (99*S[-1, Infinity]*S[2, Infinity])/64 - 
     (679*S[3, Infinity])/768)*S[5, Infinity] + 
   S[1, Infinity]^2*((-71*S[2, Infinity]^3)/1680 - 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
     S[3, Infinity]^2/16 - (3*S[-5, -1, Infinity])/4) + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (15*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]*((-9*S[-1, Infinity]*S[2, Infinity]^3)/8 + 
     (43*S[2, Infinity]^2*S[3, Infinity])/40 + 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-93*S[-1, Infinity]^2)/32 - (155*S[2, Infinity])/64)*S[5, Infinity] - 
     (147*S[7, Infinity])/128 - (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 - 
     (3*S[-5, 1, 1, Infinity])/2) + 
   (-190*S[-7, -1, Infinity] - 19*S[5, 3, Infinity] - 
     30*S[-5, -1, 1, 1, Infinity])/20 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/80 + (3*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*(S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/
      4 - (53*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 1, -4, 1, Infinity] -> 
  (9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (70451*S[2, Infinity]^4)/
    168000 + ((15*S[-1, Infinity]^2)/8 + (11*S[2, Infinity])/48)*
    S[3, Infinity]^2 + S[1, Infinity]^2*((11*S[2, Infinity]^3)/336 - 
     S[3, Infinity]^2/8) + S[1, Infinity]^3*
    ((S[2, Infinity]*S[3, Infinity])/12 - (59*S[5, Infinity])/192) + 
   ((-31*S[-1, Infinity]^3)/16 - (99*S[-1, Infinity]*S[2, Infinity])/64 + 
     (1195*S[3, Infinity])/384)*S[5, Infinity] + 
   (121*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (33*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   3*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   S[1, Infinity]*((11*S[2, Infinity]^2*S[3, Infinity])/20 + 
     (37*S[2, Infinity]*S[5, Infinity])/64 - (67*S[7, Infinity])/32 + 
     (3*S[-5, 1, 1, Infinity])/2) + (17920*S[-7, -1, Infinity] + 
     1799*S[5, 3, Infinity] + 3840*S[-5, -1, 1, 1, Infinity])/1280 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/40 - (3*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/
      2 + (9*S[-1, Infinity]*S[2, Infinity]^2)/4 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 1, 4, -1, Infinity] -> 
  (81*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (47893*S[2, Infinity]^4)/
    73500 + ((135*S[-1, Infinity]^2)/56 - (167*S[2, Infinity])/56)*
    S[3, Infinity]^2 + S[1, Infinity]^3*
    ((S[-1, Infinity]*S[2, Infinity]^2)/8 - (S[2, Infinity]*S[3, Infinity])/
      16 + (17*S[5, Infinity])/96) + 
   ((-341*S[-1, Infinity]^3)/96 + (221*S[-1, Infinity]*S[2, Infinity])/56 + 
     (66169*S[3, Infinity])/10752)*S[5, Infinity] + 
   (47585*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (129*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]^2*((43*S[2, Infinity]^3)/168 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
     (55*S[3, Infinity]^2)/128 + (31*S[-1, Infinity]*S[5, Infinity])/32 + 
     (5*S[-5, -1, Infinity])/4) + S[1, Infinity]*
    ((113*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (121*S[2, Infinity]^2*S[3, Infinity])/560 - 
     (1047*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((93*S[-1, Infinity]^2)/32 + (307*S[2, Infinity])/56)*S[5, Infinity] - 
     (23169*S[7, Infinity])/3584 - (S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (33*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity])/14) - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + (509760*S[-7, -1, Infinity] + 65551*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((9*S[-1, Infinity]^4)/280 - 
     (27*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/140 + (9*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (10839*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 1, 4, 1, Infinity] -> 
  (-6523*S[2, Infinity]^4)/5250 + (5*S[2, Infinity]*S[3, Infinity]^2)/12 + 
   S[1, Infinity]^2*((-11*S[2, Infinity]^3)/42 + (3*S[3, Infinity]^2)/4) + 
   S[1, Infinity]^3*(-(S[2, Infinity]*S[3, Infinity])/6 + S[5, Infinity]/2) + 
   (13*S[3, Infinity]*S[5, Infinity])/2 + S[1, Infinity]*
    ((-13*S[2, Infinity]^2*S[3, Infinity])/5 + 
     (3*S[2, Infinity]*S[5, Infinity])/2 + (109*S[7, Infinity])/16) + 
   (3*S[5, 3, Infinity])/10, S[1, -1, -1, -3, -2, Infinity] -> 
  (3307*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (98191*S[2, Infinity]^4)/168000 + ((-183*S[-1, Infinity]^2)/128 - 
     (1371*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-11*S[-1, Infinity]^3)/96 + (427*S[-1, Infinity]*S[2, Infinity])/16 + 
     (9771*S[3, Infinity])/512)*S[5, Infinity] - 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]*((-1081*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((-9*S[-1, Infinity]^2*S[2, Infinity])/8 - (529*S[2, Infinity]^2)/160)*
      S[3, Infinity] + (3*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((-67*S[-1, Infinity]^2)/16 - (407*S[2, Infinity])/32)*S[5, Infinity] + 
     (3993*S[7, Infinity])/128 + S[-1, Infinity]*S[-5, -1, Infinity] + 
     (9*S[5, -1, -1, Infinity])/2) + 
   (46080*S[-7, -1, Infinity] + 12621*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity])/1280 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/320 - (43*S[-1, 1, 1, 1, Infinity])/
      40) + S[3, Infinity]*((3*S[-1, Infinity]^5)/160 + 
     (9*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (1989*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    (S[-1, Infinity]^6/120 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-17*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, -1, -1, -3, 2, Infinity] -> -S[-1, Infinity]^8/96 + 
   (1633*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (1941869*S[2, Infinity]^4)/1176000 + 
   ((-1755*S[-1, Infinity]^2)/896 - (6749*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-487*S[-1, Infinity]^3)/192 + 
     (1915*S[-1, Infinity]*S[2, Infinity])/896 + (72259*S[3, Infinity])/3584)*
    S[5, Infinity] + (1051*S[-1, Infinity]*S[7, Infinity])/32 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]*((-493*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((-5*S[-1, Infinity]^2*S[2, Infinity])/16 - (21*S[2, Infinity]^2)/40)*
      S[3, Infinity] - (S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((-113*S[-1, Infinity]^2)/64 - S[2, Infinity]/8)*S[5, Infinity] - 
     (211*S[7, Infinity])/128 - S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*S[-5, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-351*S[-1, Infinity]^4)/2240 - 
     (1327*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (783360*S[-7, -1, Infinity] + 186867*S[5, 3, Infinity] + 
     106240*S[-5, -1, -1, -1, Infinity] + 81920*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((193*S[-1, Infinity]^5)/560 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (6893*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (78*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/240 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-827*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, -1, 3, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (617*S[-1, Infinity]^2*S[2, Infinity]^3)/672 + 
   (11407253*S[2, Infinity]^4)/2352000 + 
   ((41*S[-1, Infinity]^2)/64 + (1777*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((127*S[-1, Infinity]^3)/64 + (55*S[-1, Infinity]*S[2, Infinity])/16 - 
     (5917*S[3, Infinity])/224)*S[5, Infinity] - 
   (2035*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/1344 + 
     (417*S[-1, 1, 1, 1, Infinity])/56) + 
   (-534400*S[-7, -1, Infinity] - 133647*S[5, 3, Infinity] - 
     38400*S[-5, -1, -1, -1, Infinity] - 96000*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-1177*S[-1, Infinity]^5)/3360 + 
     (463*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (293*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (89*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     ((9*S[-1, Infinity]^2*S[2, Infinity])/16 + (79*S[2, Infinity]^2)/40)*
      S[3, Infinity] + (3*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((73*S[-1, Infinity]^2)/64 + (217*S[2, Infinity])/128)*S[5, Infinity] - 
     (965*S[7, Infinity])/128 + S[-1, Infinity]*S[-5, -1, Infinity] + 
     2*S[-5, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/120 + 
       S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-11*S[-1, Infinity]^6)/90 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (957*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, -1, 3, 2, Infinity] -> (-953*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (105373*S[2, Infinity]^4)/168000 + 
   ((-5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (35*S[-1, Infinity]*S[2, Infinity]^2)/8)*S[3, Infinity] + 
   ((53*S[-1, Infinity]^2)/64 + (601*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((17*S[-1, Infinity]^3)/32 - (909*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2461*S[3, Infinity])/128)*S[5, Infinity] + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (-19040*S[-7, -1, Infinity] - 9917*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/80 - 
     (19*S[-1, 1, 1, 1, Infinity])/10) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (109*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     ((5*S[-1, Infinity]^2*S[2, Infinity])/8 + (251*S[2, Infinity]^2)/224)*
      S[3, Infinity] - (11*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((83*S[-1, Infinity]^2)/32 + (1557*S[2, Infinity])/448)*S[5, Infinity] - 
     (15545*S[7, Infinity])/1792 - (4*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (6*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity])/14 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (-S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, -1, 1, -3, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (1279*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (1781179*S[2, Infinity]^4)/2352000 + 
   ((1905*S[-1, Infinity]^2)/448 + (471*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-53*S[-1, Infinity]^3)/192 + 
     (3565*S[-1, Infinity]*S[2, Infinity])/448 + (8831*S[3, Infinity])/1792)*
    S[5, Infinity] - (4409*S[-1, Infinity]*S[7, Infinity])/112 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/168 + 
     (89*S[-1, 1, 1, 1, Infinity])/14) + 
   (-222720*S[-7, -1, Infinity] - 24917*S[5, 3, Infinity] - 
     19840*S[-5, -1, -1, -1, Infinity] - 16000*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-543*S[-1, Infinity]^5)/1120 + 
     (305*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (1541*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (451*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (331*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((73*S[-1, Infinity]^2)/64 - (1859*S[2, Infinity])/448)*S[5, Infinity] + 
     (7827*S[7, Infinity])/896 + (27*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (-8*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (2313*S[2, Infinity]^2)/
        2240 - 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/40 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((-17*S[-1, Infinity]^6)/120 + (7*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 + (53*S[-5, -1, Infinity] - 
       21*S[-1, 1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 1, -3, 2, Infinity] -> 
  S[-1, Infinity]^8/192 - (271*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (572291*S[2, Infinity]^4)/1176000 + 
   ((743*S[-1, Infinity]^2)/448 + (6313*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-83*S[-1, Infinity]^3)/48 - 
     (489*S[-1, Infinity]*S[2, Infinity])/28 - (11041*S[3, Infinity])/3584)*
    S[5, Infinity] + (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((27*S[-1, Infinity]^4)/280 - 
     (57*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-177600*S[-7, -1, Infinity] - 84537*S[5, 3, Infinity] - 
     90880*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (283*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     (913*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((83*S[-1, Infinity]^2)/32 + (1013*S[2, Infinity])/112)*S[5, Infinity] - 
     (27445*S[7, Infinity])/896 - (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 - (22*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (37*S[-1, Infinity]^2*S[2, Infinity])/16 + (4519*S[2, Infinity]^2)/
        1120 + (13*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/20 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-8*S[-1, Infinity]^5)/105 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (6841*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (64*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-221*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, 1, 3, -2, Infinity] -> S[-1, Infinity]^8/192 + 
   (727*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (445037*S[2, Infinity]^4)/336000 + 
   ((-101*S[-1, Infinity]^2)/128 - (9*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((3*S[-1, Infinity]^3)/2 + (559*S[-1, Infinity]*S[2, Infinity])/64 + 
     (2081*S[3, Infinity])/512)*S[5, Infinity] - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    ((-31*S[-1, Infinity]^4)/480 + S[-1, 1, 1, 1, Infinity]/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (8160*S[-7, -1, Infinity] + 1419*S[5, 3, Infinity] + 
     1120*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     960*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     (79*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-67*S[-1, Infinity]^2)/16 - (265*S[2, Infinity])/64)*S[5, Infinity] + 
     (1233*S[7, Infinity])/256 - 3*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (-3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (243*S[2, Infinity]^2)/320 + 
       (13*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/15 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/480 + (19*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (1119*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-43*S[-5, -1, Infinity] + 32*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, -1, 1, 3, 2, Infinity] -> -S[-1, Infinity]^8/288 + 
   (2759*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (4148359*S[2, Infinity]^4)/2352000 + 
   ((3047*S[-1, Infinity]^2)/896 - (7415*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-59*S[-1, Infinity]^3)/64 + 
     (5499*S[-1, Infinity]*S[2, Infinity])/896 + (67905*S[3, Infinity])/3584)*
    S[5, Infinity] - (409*S[-1, Infinity]*S[7, Infinity])/512 - 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/560 - 
     (141*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (297600*S[-7, -1, Infinity] + 46663*S[5, 3, Infinity] + 
     17280*S[-5, -1, -1, -1, Infinity] + 54400*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/1680 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (16987*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (403*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (787*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-113*S[-1, Infinity]^2)/64 + (39*S[2, Infinity])/128)*S[5, Infinity] + 
     (2875*S[7, Infinity])/512 + (3*S[-5, 1, 1, Infinity] + 
       2*S[5, -1, -1, Infinity])/2 + S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (731*S[2, Infinity]^2)/320 - 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/30 - 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, 
        Infinity])) + S[2, Infinity]*((13*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-99*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[1, 1, -1, -3, -2, Infinity] -> (-5*S[-1, Infinity]^8)/576 - 
   (1721*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (8405993*S[2, Infinity]^4)/2352000 + 
   ((-501*S[-1, Infinity]^2)/224 - (33*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((145*S[-1, Infinity]^3)/96 - (1975*S[-1, Infinity]*S[2, Infinity])/224 + 
     (22607*S[3, Infinity])/1792)*S[5, Infinity] + 
   (13231*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (26*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] - 40*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]^2*((S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
     (89*S[2, Infinity]^3)/1680 + (9*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (3*S[3, Infinity]^2)/8 + 
     (11*S[-1, Infinity]*S[5, Infinity])/64 + S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/2)) + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/2240 - 
     (1489*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (13600*S[-7, -1, Infinity] + 17811*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (89*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-259*S[-1, Infinity]^2)/64 - (3*S[2, Infinity])/56)*S[5, Infinity] - 
     (2935*S[7, Infinity])/1792 - (24*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (-69*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 - (2097*S[2, Infinity]^2)/2240 + 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*(S[-1, Infinity]^5/120 - 
       S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((97*S[-1, Infinity]^5)/280 - (611*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (1121*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (61*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/360 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-55*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, 1, -1, -3, 2, Infinity] -> (53*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (58213*S[2, Infinity]^4)/147000 + 
   ((-243*S[-1, Infinity]^2)/896 - (1425*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((11*S[-1, Infinity]^3)/192 + 
     (2669*S[-1, Infinity]*S[2, Infinity])/448 + (8111*S[3, Infinity])/3584)*
    S[5, Infinity] - (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (104640*S[-7, -1, Infinity] + 43283*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    17920 + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
     (179*S[2, Infinity]^3)/1680 + (5*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 + (5*S[3, Infinity]^2)/128 + 
     (11*S[-1, Infinity]*S[5, Infinity])/64 + (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/1680 + 
     (13*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (S[-1, Infinity]^5/140 + (23*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (5759*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]*
    ((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (157*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-83*S[-1, Infinity]^2)/32 - (193*S[2, Infinity])/448)*S[5, Infinity] + 
     (7361*S[7, Infinity])/3584 - (4*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-8*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (43*S[2, Infinity]^2)/70 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (S[-1, Infinity]^6/360 + (13*S[-5, -1, Infinity] - 
       14*S[-1, 1, 1, 1, 1, 1, Infinity])/7), S[1, 1, -1, 3, -2, Infinity] -> 
  -S[-1, Infinity]^8/192 - (99*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (929*S[2, Infinity]^4)/480 + ((27*S[-1, Infinity]^2)/32 + 
     (439*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-17*S[-1, Infinity]^3)/64 - (1699*S[-1, Infinity]*S[2, Infinity])/64 - 
     (1139*S[3, Infinity])/128)*S[5, Infinity] + 
   S[1, Infinity]^2*((121*S[2, Infinity]^3)/1680 - 
     (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (33*S[3, Infinity]^2)/128 - (51*S[-1, Infinity]*S[5, Infinity])/64 - 
     (7*S[-5, -1, Infinity])/4) + 3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/64 - (5*S[-1, 1, 1, 1, Infinity])/
      8) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-2496*S[-7, -1, Infinity] - 627*S[5, 3, Infinity] - 
     768*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] - 
     384*S[-1, 1, 1, 1, Infinity]^2)/128 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/160 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (297*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    ((3*S[-1, Infinity]^6)/80 - (15*S[-5, -1, Infinity])/2 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((67*S[-1, Infinity]^2)/16 + (787*S[2, Infinity])/64)*S[5, Infinity] - 
     (5377*S[7, Infinity])/256 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/96 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 + (469*S[2, Infinity]^2)/320 - 
       (13*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/20 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity])), S[1, 1, -1, 3, 2, Infinity] -> 
  S[-1, Infinity]^8/144 + (151*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (243683*S[2, Infinity]^4)/470400 + 
   ((2203*S[-1, Infinity]^2)/896 + (1475*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-43*S[-1, Infinity]^3)/16 + 
     (661*S[-1, Infinity]*S[2, Infinity])/112 - (709*S[3, Infinity])/448)*
    S[5, Infinity] - (32289*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[1, Infinity]^2*((-493*S[2, Infinity]^3)/3360 - 
     (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     S[3, Infinity]^2/8 - (51*S[-1, Infinity]*S[5, Infinity])/64 - 
     S[-5, -1, Infinity]/2) - (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/448 + 
     (121*S[-1, 1, 1, 1, Infinity])/56) + 
   (-296*S[-7, -1, Infinity] - 141*S[5, 3, Infinity] - 
     32*S[-5, -1, -1, -1, Infinity] - 24*S[-5, -1, 1, 1, Infinity] + 
     224*S[-1, 1, 1, 1, Infinity]^2)/56 + S[1, Infinity]*
    ((S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (543*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (131*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((423*S[-1, Infinity]^2)/64 + (151*S[2, Infinity])/56)*S[5, Infinity] - 
     (2675*S[7, Infinity])/896 + (29*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (2*(16*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 + (2131*S[2, Infinity]^2)/
        2240 + 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/40 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-251*S[-1, Infinity]^5)/1120 + (53*S[-1, Infinity]^3*S[2, Infinity])/
      42 + (2073*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/240 + (59*S[-5, -1, Infinity])/
      28 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, 1, 1, -3, -2, Infinity] -> -S[-1, Infinity]^8/192 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (739*S[2, Infinity]^4)/
    168000 - (15*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   S[1, Infinity]^3*((-3*S[2, Infinity]*S[3, Infinity])/8 + 
     (83*S[5, Infinity])/96) + ((31*S[-1, Infinity]*S[2, Infinity])/32 + 
     (1015*S[3, Infinity])/384)*S[5, Infinity] + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/120 + 
     (7*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-49*S[5, 3, Infinity] - 3840*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]^2*((S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
     (13*S[2, Infinity]^3)/840 + (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 + (163*S[3, Infinity]^2)/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/160 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/4 - 
     (23*S[2, Infinity]*S[5, Infinity])/4 + (3615*S[7, Infinity])/128 + 
     3*S[-1, Infinity]*S[-5, -1, Infinity] + 
     3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/32 - 
       (35*S[-1, Infinity]^2*S[2, Infinity])/16 - (99*S[2, Infinity]^2)/16 - 
       (21*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/15 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((5*S[-1, Infinity]^6)/144 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 1, 1, -3, 2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (673*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2536787*S[2, Infinity]^4)/1176000 + 
   ((-137*S[-1, Infinity]^2)/28 - (3317*S[2, Infinity])/672)*
    S[3, Infinity]^2 + S[1, Infinity]^3*
    ((-5*S[2, Infinity]*S[3, Infinity])/48 + (11*S[5, Infinity])/192) + 
   ((-155*S[-1, Infinity]^3)/96 + (985*S[-1, Infinity]*S[2, Infinity])/448 - 
     (36515*S[3, Infinity])/5376)*S[5, Infinity] + 
   (78339*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-41*S[-5, 1, 1, Infinity] - 76*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
     (179*S[2, Infinity]^3)/840 - (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (121*S[3, Infinity]^2)/128 + 
     (155*S[-1, Infinity]*S[5, Infinity])/64 + (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]/2)) + 
   S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/224 - 
     (69*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (15920*S[-7, -1, Infinity] + 4929*S[5, 3, Infinity] + 
     6080*S[-5, -1, -1, -1, Infinity] - 3280*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (95*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (3203*S[2, Infinity]*S[5, Infinity])/448 - (27729*S[7, Infinity])/1792 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-5, 1, 1, Infinity] - 34*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (1629*S[2, Infinity]^2)/
        1120 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/224 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (3891*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (115*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/144 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (157*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, 1, 3, -2, Infinity] -> (27*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (100441*S[2, Infinity]^4)/1176000 + 
   ((45*S[-1, Infinity]^2)/112 + (883*S[2, Infinity])/336)*S[3, Infinity]^2 + 
   S[1, Infinity]^3*((S[2, Infinity]*S[3, Infinity])/24 - 
     (17*S[5, Infinity])/64) + ((31*S[-1, Infinity]^3)/32 - 
     (345*S[-1, Infinity]*S[2, Infinity])/224 - (1831*S[3, Infinity])/448)*
    S[5, Infinity] - (283*S[-1, Infinity]*S[7, Infinity])/28 + 
   S[1, Infinity]^2*((-59*S[2, Infinity]^3)/420 + (19*S[3, Infinity]^2)/64 - 
     (93*S[-1, Infinity]*S[5, Infinity])/64 - (3*S[-5, -1, Infinity])/4) - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]*((-3*S[-1, Infinity]*S[2, Infinity]^3)/8 + 
     (41*S[2, Infinity]^2*S[3, Infinity])/280 + 
     (135*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (1543*S[2, Infinity]*S[5, Infinity])/224 + (531*S[7, Infinity])/56 + 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (3*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/14) + 
   (-4840*S[-7, -1, Infinity] - 2567*S[5, 3, Infinity] - 
     2400*S[-5, -1, -1, -1, Infinity] + 720*S[-5, -1, 1, 1, Infinity])/1120 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/560 - (9*S[-1, 1, 1, 1, Infinity])/
      70) + S[3, Infinity]*((-3*S[-1, Infinity]^5)/280 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (15*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 1, 3, 2, Infinity] -> 
  (377*S[2, Infinity]^4)/10500 - (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   S[1, Infinity]^2*((17*S[2, Infinity]^3)/84 - (3*S[3, Infinity]^2)/4) + 
   S[1, Infinity]^3*((S[2, Infinity]*S[3, Infinity])/2 - 
     (3*S[5, Infinity])/4) + S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*(2*S[2, Infinity]^2*S[3, Infinity] - 
     (11*S[2, Infinity]*S[5, Infinity])/4 - (5*S[7, Infinity])/8) + 
   (2*S[5, 3, Infinity])/5, S[1, -1, -1, -2, -3, Infinity] -> 
  S[-1, Infinity]^8/64 + (683*S[-1, Infinity]^2*S[2, Infinity]^3)/420 + 
   (784051*S[2, Infinity]^4)/147000 + 
   ((-465*S[-1, Infinity]^2)/896 + (3463*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-7*S[-1, Infinity]^3)/32 + 
     (4365*S[-1, Infinity]*S[2, Infinity])/448 - (28025*S[3, Infinity])/3584)*
    S[5, Infinity] - (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/840 + 
     (299*S[-1, 1, 1, 1, Infinity])/70) + 
   (-10240*S[-7, -1, Infinity] - 31559*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 96000*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (1033*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (181*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((13*S[-1, Infinity]^2)/16 - (1535*S[2, Infinity])/224)*S[5, Infinity] - 
     (3869*S[7, Infinity])/1792 + (3*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-8*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/16 + (1787*S[2, Infinity]^2)/
        1120 + (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/10 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-547*S[-1, Infinity]^5)/3360 + 
     (127*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1955*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/240 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (31*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, -1, -2, 3, Infinity] -> (-253*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (52397*S[2, Infinity]^4)/294000 + 
   ((345*S[-1, Infinity]^2)/896 + (591*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((141*S[-1, Infinity]^3)/64 - 
     (475*S[-1, Infinity]*S[2, Infinity])/224 - (44263*S[3, Infinity])/3584)*
    S[5, Infinity] - (193*S[-1, Infinity]*S[7, Infinity])/64 + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (5*S[-1, Infinity]*S[5, -1, -1, Infinity])/2 + 
   (-345600*S[-7, -1, Infinity] - 63509*S[5, 3, Infinity] - 
     55040*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((221*S[-1, Infinity]^4)/6720 + 
     (619*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-87*S[-1, Infinity]^5)/560 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (6813*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (283*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (403*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (181*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-103*S[-1, Infinity]^2)/64 + (139*S[2, Infinity])/112)*
      S[5, Infinity] + (1535*S[7, Infinity])/1792 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (2*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (159*S[2, Infinity]^2)/1120 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/20 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (-S[-1, Infinity]^6/30 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (3*(23*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[1, -1, -1, 2, -3, Infinity] -> -S[-1, Infinity]^8/192 + 
   (1223*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (6737671*S[2, Infinity]^4)/2352000 + 
   ((-3697*S[-1, Infinity]^2)/896 - (1347*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-569*S[-1, Infinity]^3)/192 + 
     (1683*S[-1, Infinity]*S[2, Infinity])/224 + (9461*S[3, Infinity])/3584)*
    S[5, Infinity] + (148621*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-27*S[-5, 1, 1, Infinity] - 76*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-223*S[-1, Infinity]^4)/1120 - 
     (381*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (581440*S[-7, -1, Infinity] + 131841*S[5, 3, Infinity] + 
     136960*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (433*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (127*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((83*S[-1, Infinity]^2)/64 + S[2, Infinity]/14)*S[5, Infinity] - 
     (16039*S[7, Infinity])/1792 - (3*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (951*S[2, Infinity]^2)/560 + 
       (13*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/20 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((1177*S[-1, Infinity]^5)/3360 - (673*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (73*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/240 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-355*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, -1, 2, 3, Infinity] -> -S[-1, Infinity]^8/96 - 
   (673*S[-1, Infinity]^2*S[2, Infinity]^3)/420 - 
   (4681*S[2, Infinity]^4)/1176 + ((-211*S[-1, Infinity]^2)/224 - 
     (1753*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((41*S[-1, Infinity]^3)/96 + (3167*S[-1, Infinity]*S[2, Infinity])/448 + 
     (19357*S[3, Infinity])/1792)*S[5, Infinity] - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/1680 - 
     (187*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (17648*S[-7, -1, Infinity] + 5611*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 1664*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/420 - 
     (S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (611*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (209*S[-1, Infinity]*S[2, Infinity]^3)/420 - 
     (59*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-67*S[-1, Infinity]^2)/32 - (171*S[2, Infinity])/32)*S[5, Infinity] + 
     (16649*S[7, Infinity])/512 + (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (5*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/48 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/8 - (183*S[2, Infinity]^2)/40 - 
       (11*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/10 - 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, 1, -2, -3, Infinity] -> (3281*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (1898557*S[2, Infinity]^4)/2352000 + 
   ((2561*S[-1, Infinity]^2)/896 - (4805*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-383*S[-1, Infinity]^3)/192 + 
     (2673*S[-1, Infinity]*S[2, Infinity])/448 + (2011*S[3, Infinity])/224)*
    S[5, Infinity] + (14023*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + (238080*S[-7, -1, Infinity] + 43951*S[5, 3, Infinity] + 
     28160*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/28 - 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/84 + 
     ((-15*S[-1, Infinity]^2*S[2, Infinity])/16 - (1803*S[2, Infinity]^2)/
        2240)*S[3, Infinity] - (957*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((83*S[-1, Infinity]^2)/64 + (93*S[2, Infinity])/28)*S[5, Infinity] - 
     (8857*S[7, Infinity])/1792 + (S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (36*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity])/14 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-209*S[-1, Infinity]^5)/3360 + 
     (419*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (13819*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (209*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (-593*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, 1, -2, 3, Infinity] -> (-2293*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (2745241*S[2, Infinity]^4)/1176000 + 
   ((-93*S[-1, Infinity]^2)/448 - (475*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((67*S[-1, Infinity]^3)/48 - 
     (121*S[-1, Infinity]*S[2, Infinity])/28 + (9783*S[3, Infinity])/3584)*
    S[5, Infinity] + (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (247680*S[-7, -1, Infinity] - 12877*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] + 87040*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/420 - 
     (34*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/840 - (23*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3461*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (2159*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/4 + (5*S[2, Infinity]^2)/8)*
      S[3, Infinity] + (109*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-67*S[-1, Infinity]^2)/32 + (31*S[2, Infinity])/16)*S[5, Infinity] + 
     (369*S[7, Infinity])/128 - 3*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (S[-1, Infinity]^6/90 + (-101*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, 1, 2, -3, Infinity] -> S[-1, Infinity]^8/192 + 
   (2153*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (808589*S[2, Infinity]^4)/294000 + 
   ((565*S[-1, Infinity]^2)/896 + (1625*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/6 + 
     (1497*S[-1, Infinity]*S[2, Infinity])/224 - (12949*S[3, Infinity])/1792)*
    S[5, Infinity] - (99*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((177*S[-1, Infinity]^4)/560 + 
     (32*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (2560*S[-7, -1, Infinity] + 19431*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (137*S[-1, Infinity]*S[2, Infinity]^3)/210 + 
     (585*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((13*S[-1, Infinity]^2)/16 + (2395*S[2, Infinity])/448)*S[5, Infinity] - 
     (38217*S[7, Infinity])/1792 + (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 - (2*(10*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 + (1447*S[2, Infinity]^2)/
        560 + 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/30 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-367*S[-1, Infinity]^5)/3360 + 
     (113*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (73*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (8*(-S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[1, -1, 1, 2, 3, Infinity] -> S[-1, Infinity]^8/192 + 
   (283*S[-1, Infinity]^2*S[2, Infinity]^3)/336 - 
   (1229023*S[2, Infinity]^4)/470400 + 
   ((2495*S[-1, Infinity]^2)/896 + (515*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((113*S[-1, Infinity]^3)/192 + 
     (2033*S[-1, Infinity]*S[2, Infinity])/448 + (19511*S[3, Infinity])/1792)*
    S[5, Infinity] - (10559*S[-1, Infinity]*S[7, Infinity])/256 - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 7*S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-281*S[-1, Infinity]^4)/6720 + 
     (981*S[-1, 1, 1, 1, Infinity])/280) + 
   (-66048*S[-7, -1, Infinity] - 8209*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 3072*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-257*S[-1, Infinity]^5)/840 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (5009*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/42 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-103*S[-1, Infinity]^2)/64 - (9035*S[2, Infinity])/896)*
      S[5, Infinity] + (2231*S[7, Infinity])/112 + 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-26*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/32 - 
       (S[-1, Infinity]^2*S[2, Infinity])/16 - (4747*S[2, Infinity]^2)/2240 - 
       (9*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (93*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, -1, -2, -3, Infinity] -> (-5*S[-1, Infinity]^8)/576 - 
   (3093*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (113849*S[2, Infinity]^4)/784000 + 
   ((-4203*S[-1, Infinity]^2)/896 - (1647*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-105*S[-1, Infinity]^3)/32 - 
     (993*S[-1, Infinity]*S[2, Infinity])/112 - (28137*S[3, Infinity])/3584)*
    S[5, Infinity] + (8285*S[-1, Infinity]*S[7, Infinity])/256 + 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    2 + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/4 - 
     (853*S[2, Infinity]^3)/3360 - (15*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (15*S[3, Infinity]^2)/16 + 
     (21*S[-1, Infinity]*S[5, Infinity])/64 + S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((-183*S[-1, Infinity]^4)/1120 - 
     (641*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (13000*S[-7, -1, Infinity] + 1551*S[5, 3, Infinity] + 
     5280*S[-5, -1, -1, -1, Infinity] - 3040*S[-5, -1, 1, 1, Infinity] - 
     11200*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((45*S[-1, Infinity]^5)/112 - 
     (965*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3253*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (125*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (78*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (173*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((351*S[-1, Infinity]^2)/64 + (11569*S[2, Infinity])/896)*
      S[5, Infinity] - (16217*S[7, Infinity])/896 - 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (3*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 + (1353*S[2, Infinity]^2)/
        560 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((77*S[-1, Infinity]^6)/720 - (5*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 + (131*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, -1, -2, 3, Infinity] -> (121*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 + (1181897*S[2, Infinity]^4)/392000 + 
   ((-117*S[-1, Infinity]^2)/448 + (17*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((7*S[-1, Infinity]^3)/64 + (2643*S[-1, Infinity]*S[2, Infinity])/448 + 
     (783*S[3, Infinity])/896)*S[5, Infinity] - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-78720*S[-7, -1, Infinity] - 1357*S[5, 3, Infinity] + 
     8320*S[-5, -1, -1, -1, Infinity] - 19520*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/840 + 
     (167*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]^2*
    ((S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (503*S[2, Infinity]^3)/840 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (59*S[3, Infinity]^2)/64 + (21*S[-1, Infinity]*S[5, Infinity])/64 - 
     (5*S[-5, -1, Infinity])/4 + S[2, Infinity]*(-S[-1, Infinity]^4/12 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (697*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (305*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((67*S[-1, Infinity]^2)/32 - (2111*S[2, Infinity])/224)*S[5, Infinity] + 
     (25561*S[7, Infinity])/1792 + (61*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (61*S[-5, 1, 1, Infinity] + 26*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/24 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/2 - (2217*S[2, Infinity]^2)/560 - 
       7*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/30 - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/70 + (3*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (2889*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (265*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -1, 2, -3, Infinity] -> -S[-1, Infinity]^8/576 - 
   (897*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1447493*S[2, Infinity]^4)/392000 + 
   ((783*S[-1, Infinity]^2)/448 + (1117*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-41*S[-1, Infinity]^3)/192 - 
     (7583*S[-1, Infinity]*S[2, Infinity])/448 - (3695*S[3, Infinity])/1792)*
    S[5, Infinity] + (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/2 - 
     (337*S[2, Infinity]^3)/840 - (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (69*S[3, Infinity]^2)/128 - 
     (41*S[-1, Infinity]*S[5, Infinity])/64 + (3*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/12 - 2*S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/840 - 
     (391*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (29440*S[-7, -1, Infinity] - 23479*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 62080*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/1120 - 
     (S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (5641*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (72*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (1219*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-13*S[-1, Infinity]^2)/16 + (9419*S[2, Infinity])/448)*
      S[5, Infinity] - (18967*S[7, Infinity])/448 - 
     (83*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-83*S[-5, 1, 1, Infinity] - 62*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/3 + 
       (39*S[-1, Infinity]^2*S[2, Infinity])/16 + (1415*S[2, Infinity]^2)/
        224 + 8*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/30 + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-145*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, 1, -1, 2, 3, Infinity] -> S[-1, Infinity]^8/96 + 
   (2741*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2387013*S[2, Infinity]^4)/784000 + 
   ((993*S[-1, Infinity]^2)/128 + (6353*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((53*S[-1, Infinity]^3)/24 + 
     (15*S[-1, Infinity]*S[2, Infinity])/4 + (37557*S[3, Infinity])/1792)*
    S[5, Infinity] - (106843*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (5*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((527*S[-1, Infinity]^4)/2240 + 
     (1219*S[-1, 1, 1, 1, Infinity])/280) + 
   (-80000*S[-7, -1, Infinity] - 17677*S[5, 3, Infinity] - 
     43520*S[-5, -1, -1, -1, Infinity] + 34560*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]^2*((S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
     (17*S[2, Infinity]^3)/3360 + (S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/2 + (41*S[3, Infinity]^2)/64 - 
     (41*S[-1, Infinity]*S[5, Infinity])/64 - S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (117*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-207*S[-1, Infinity]^2)/64 - (321*S[2, Infinity])/32)*S[5, Infinity] + 
     (4425*S[7, Infinity])/256 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 - 
     2*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/8 - (963*S[2, Infinity]^2)/320 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/60 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-1693*S[-1, Infinity]^5)/3360 + 
     (401*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (2977*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (82*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/180 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-265*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, 1, -2, -3, Infinity] -> -S[-1, Infinity]^8/576 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (379*S[2, Infinity]^4)/800 + 
   ((-21*S[-1, Infinity]^2)/64 - (7*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   S[1, Infinity]^2*((403*S[2, Infinity]^3)/1680 - (89*S[3, Infinity]^2)/
      128) + S[1, Infinity]^3*((7*S[2, Infinity]*S[3, Infinity])/16 - 
     (67*S[5, Infinity])/96) - (481*S[3, Infinity]*S[5, Infinity])/192 + 
   S[1, Infinity]*((-7*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/32 - 
     (15*S[2, Infinity]*S[5, Infinity])/4 + (623*S[7, Infinity])/256 + 
     S[-1, Infinity]*S[-5, -1, Infinity] + S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity] + S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (23*S[2, Infinity]^2)/20 - 
       S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    ((-7*S[-1, Infinity]^4)/120 - S[-1, 1, 1, 1, Infinity]/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (13*S[5, 3, Infinity] - 64*S[-1, 1, 1, 1, Infinity]^2)/64 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/480 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 1, -2, 3, Infinity] -> 
  -S[-1, Infinity]^8/576 - (859*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (12121*S[2, Infinity]^4)/98000 + ((-675*S[-1, Infinity]^2)/224 + 
     (1339*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   S[1, Infinity]^3*(-(S[2, Infinity]*S[3, Infinity])/8 + 
     (7*S[5, Infinity])/64) + ((155*S[-1, Infinity]^3)/96 - 
     (517*S[-1, Infinity]*S[2, Infinity])/224 - (167*S[3, Infinity])/28)*
    S[5, Infinity] + (3785*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[1, Infinity]^2*((-1033*S[2, Infinity]^3)/3360 + 
     (69*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/64 - 
     (5*S[-5, -1, Infinity])/4) + (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/
    28 - (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] - 
      8*S[5, -1, -1, Infinity]))/14 + S[1, Infinity]*
    ((-3*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (87*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (739*S[2, Infinity]*S[5, Infinity])/448 + (9*S[7, Infinity])/28 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 + (361*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/4)) + 
   S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/2240 - 
     (171*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (43*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-109440*S[-7, -1, Infinity] - 10823*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((167*S[-1, Infinity]^5)/1120 - 
     (361*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (7233*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (151*S[-1, 1, 1, 1, 1, Infinity])/28), S[1, 1, 1, 2, -3, Infinity] -> 
  (9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (5473*S[2, Infinity]^4)/3500 + 
   ((15*S[-1, Infinity]^2)/8 - (37*S[2, Infinity])/24)*S[3, Infinity]^2 + 
   S[1, Infinity]^3*(-(S[2, Infinity]*S[3, Infinity])/48 - 
     (41*S[5, Infinity])/192) + ((-217*S[-1, Infinity]^3)/96 + 
     (53*S[-1, Infinity]*S[2, Infinity])/16 - (1121*S[3, Infinity])/1536)*
    S[5, Infinity] + (9505*S[-1, Infinity]*S[7, Infinity])/512 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   6*S[2, Infinity]*S[-5, -1, Infinity] + S[1, Infinity]^2*
    ((13*S[2, Infinity]^3)/24 - (103*S[3, Infinity]^2)/128 + 
     (217*S[-1, Infinity]*S[5, Infinity])/64 + (7*S[-5, -1, Infinity])/4) + 
   S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (3*S[2, Infinity]^2*S[3, Infinity])/16 - 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     (59*S[2, Infinity]*S[5, Infinity])/16 - (2433*S[7, Infinity])/512 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity])/2) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   (59840*S[-7, -1, Infinity] + 6553*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(S[-1, Infinity]^4/40 - 
     (3*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (-S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (761*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 1, 2, 3, Infinity] -> 
  (-4377*S[2, Infinity]^4)/3500 - (2*S[2, Infinity]*S[3, Infinity]^2)/3 + 
   S[1, Infinity]^2*((-29*S[2, Infinity]^3)/60 + S[3, Infinity]^2) + 
   S[1, Infinity]^3*(-(S[2, Infinity]*S[3, Infinity])/3 + 
     (11*S[5, Infinity])/12) + (47*S[3, Infinity]*S[5, Infinity])/6 + 
   S[1, Infinity]*(-2*S[2, Infinity]^2*S[3, Infinity] - 
     (11*S[2, Infinity]*S[5, Infinity])/4 + (221*S[7, Infinity])/16) - 
   (7*S[5, 3, Infinity])/10, S[1, -1, -1, -1, -4, Infinity] -> 
  (22*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (267077*S[2, Infinity]^4)/
    392000 + ((-501*S[-1, Infinity]^2)/448 - (3029*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((2*S[-1, Infinity]^3)/3 + 
     (118*S[-1, Infinity]*S[2, Infinity])/7 + (20885*S[3, Infinity])/1792)*
    S[5, Infinity] - (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (123*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-3*S[-1, Infinity]^2*S[2, Infinity])/8 - (2209*S[2, Infinity]^2)/1120)*
      S[3, Infinity] + (4*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-219*S[-1, Infinity]^2)/64 - (4801*S[2, Infinity])/448)*
      S[5, Infinity] + (5589*S[7, Infinity])/224 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity])/14) + 
   (363040*S[-7, -1, Infinity] + 72439*S[5, 3, Infinity] + 
     47360*S[-5, -1, -1, -1, Infinity] + 19840*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/560 - 
     (31*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (-S[-1, Infinity]^5/84 + (31*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1639*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 
     (-73*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[1, -1, -1, -1, 4, Infinity] -> (467*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (2580853*S[2, Infinity]^4)/784000 + 
   ((-23*S[-1, Infinity]^2)/16 - (535*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-337*S[-1, Infinity]^3)/192 + (769*S[-1, Infinity]*S[2, Infinity])/64 - 
     (1427*S[3, Infinity])/448)*S[5, Infinity] + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (71*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/16 + (81*S[2, Infinity]^2)/80)*
      S[3, Infinity] + (3*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     (-S[-1, Infinity]^2 - S[2, Infinity]/16)*S[5, Infinity] - 
     5*S[7, Infinity]) + (6709*S[-1, Infinity]*S[7, Infinity])/224 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 + (211840*S[-7, -1, Infinity] + 40057*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((209*S[-1, Infinity]^4)/3360 + 
     (2*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-47*S[-1, Infinity]^5)/3360 + (5*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (251*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (-73*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, -1, 1, -4, Infinity] -> S[-1, Infinity]^8/192 + 
   (479*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (266297*S[2, Infinity]^4)/784000 + 
   ((535*S[-1, Infinity]^2)/112 - (9011*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-523*S[-1, Infinity]^3)/192 + 
     (1707*S[-1, Infinity]*S[2, Infinity])/112 + (68353*S[3, Infinity])/3584)*
    S[5, Infinity] - (11449*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (46*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/21 + 
     (397*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (135*S[-5, -1, Infinity])/14 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (116320*S[-7, -1, Infinity] + 29649*S[5, 3, Infinity] + 
     17600*S[-5, -1, -1, -1, Infinity] + 16000*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-1271*S[-1, Infinity]^5)/3360 + 
     (935*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (68*S[-1, Infinity]*S[2, Infinity]^2)/7 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (291*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-9*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (129*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (535*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (-S[-1, Infinity]^2 - (2903*S[2, Infinity])/896)*S[5, Infinity] + 
     (5451*S[7, Infinity])/896 + (23*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (2*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/96 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 - (3893*S[2, Infinity]^2)/
        2240 - (11*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, -1, -1, 1, 4, Infinity] -> S[-1, Infinity]^8/192 + 
   (417*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (78117*S[2, Infinity]^4)/98000 + ((43*S[-1, Infinity]^2)/448 - 
     (639*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-29*S[-1, Infinity]^3)/96 + (3733*S[-1, Infinity]*S[2, Infinity])/448 + 
     (23455*S[3, Infinity])/3584)*S[5, Infinity] - 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/56 - 
     (99*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (134*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (767680*S[-7, -1, Infinity] + 83757*S[5, 3, Infinity] + 
     52480*S[-5, -1, -1, -1, Infinity] + 108800*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (1625*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-219*S[-1, Infinity]^2)/64 - (643*S[2, Infinity])/224)*
      S[5, Infinity] - (547*S[7, Infinity])/1792 - 
     (31*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (2*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/96 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 + (129*S[2, Infinity]^2)/70 + 
       (17*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/15 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-71*S[-1, Infinity]^5)/840 + (43*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (9301*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 1, -1, -4, Infinity] -> 
  (19*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (2107*S[2, Infinity]^4)/2000 + 
   ((141*S[-1, Infinity]^2)/112 - (491*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-647*S[-1, Infinity]^3)/192 + 
     (141*S[-1, Infinity]*S[2, Infinity])/56 + (489*S[3, Infinity])/32)*
    S[5, Infinity] - (1299*S[-1, Infinity]*S[7, Infinity])/224 - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + (7040*S[-7, -1, Infinity] + 1901*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/240 - 
     (13*S[-1, 1, 1, 1, Infinity])/20) + S[1, Infinity]*
    ((S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((61*S[-1, Infinity]^2)/32 - (275*S[2, Infinity])/112)*S[5, Infinity] + 
     (179*S[7, Infinity])/224 + (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-2*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 - (279*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/40 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/160 - (S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (6173*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-35*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, -1, 1, -1, 4, Infinity] -> -S[-1, Infinity]^8/192 - 
   (137*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (9811*S[2, Infinity]^4)/4000 + ((21*S[-1, Infinity]^2)/64 - 
     (351*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-91*S[-1, Infinity]^3)/96 - (27*S[-1, Infinity]*S[2, Infinity])/64 + 
     (361*S[3, Infinity])/128)*S[5, Infinity] - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/16 - (11*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (20480*S[-7, -1, Infinity] + 4603*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/120 + 
     (S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (113*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
     (127*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-33*S[-1, Infinity]^2)/64 + (403*S[2, Infinity])/64)*S[5, Infinity] - 
     5*S[7, Infinity] - S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (9*S[2, Infinity]^2)/40 - 
       (5*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/20 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((23*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-25*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, -1, 1, 1, -4, Infinity] -> (-123*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (373*S[2, Infinity]^4)/224 + 
   ((-7*S[-1, Infinity]^2)/16 - 3*S[2, Infinity])*S[3, Infinity]^2 + 
   ((2*S[-1, Infinity]^3)/3 + (61*S[-1, Infinity]*S[2, Infinity])/32 + 
     (1117*S[3, Infinity])/128)*S[5, Infinity] + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (1792*S[-7, -1, Infinity] + 201*S[5, 3, Infinity] + 
     384*S[-5, -1, 1, 1, Infinity])/128 + S[2, Infinity]^2*
    ((-41*S[-1, Infinity]^4)/240 - S[-1, 1, 1, 1, Infinity]/10) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/
      12 + (21*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((7*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (22*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((-33*S[-1, Infinity]^2)/64 - (55*S[2, Infinity])/64)*S[5, Infinity] + 
     (1643*S[7, Infinity])/256 - S[-1, Infinity]*S[-5, -1, Infinity] + 
     S[-5, 1, 1, Infinity]/2 + S[3, Infinity]*(S[-1, Infinity]^4/24 + 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (3*S[2, Infinity]^2)/8 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (S[-1, Infinity]^6/120 + (3*(-3*S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[1, -1, 1, 1, 4, Infinity] -> -S[-1, Infinity]^8/576 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (4757*S[2, Infinity]^4)/
    4000 + ((221*S[-1, Infinity]^2)/448 + (7*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-337*S[-1, Infinity]^3)/192 - 
     (1301*S[-1, Infinity]*S[2, Infinity])/448 - (225*S[3, Infinity])/64)*
    S[5, Infinity] + (63671*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/32 - 
     (6*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (11520*S[-7, -1, Infinity] + 1209*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (43*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (23*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((61*S[-1, Infinity]^2)/32 + (2421*S[2, Infinity])/448)*S[5, Infinity] - 
     (40669*S[7, Infinity])/3584 - (S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (19*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 - 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (45*S[2, Infinity]^2)/56 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/120 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/480 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (333*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    (S[-1, Infinity]^6/60 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-13*S[-5, -1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, 1, -1, -1, -4, Infinity] -> -S[-1, Infinity]^8/192 - 
   (4491*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2696051*S[2, Infinity]^4)/784000 + 
   ((-775*S[-1, Infinity]^2)/448 + (1445*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((215*S[-1, Infinity]^3)/192 - 
     (10671*S[-1, Infinity]*S[2, Infinity])/448 - (30727*S[3, Infinity])/
      3584)*S[5, Infinity] + S[1, Infinity]^2*
    ((-7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (71*S[2, Infinity]^3)/224 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (3*S[3, Infinity]^2)/8 - S[-1, Infinity]*S[5, Infinity]) - 
   (6703*S[-1, Infinity]*S[7, Infinity])/512 + 
   (99*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-521*S[-1, Infinity]^4)/3360 - 
     (99*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-86120*S[-7, -1, Infinity] - 17531*S[5, 3, Infinity] - 
     14880*S[-5, -1, -1, -1, Infinity] - 5280*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((493*S[-1, Infinity]^5)/1680 - 
     (671*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (20003*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (251*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (43*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (333*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((281*S[-1, Infinity]^2)/64 + (8573*S[2, Infinity])/896)*
      S[5, Infinity] - (10883*S[7, Infinity])/896 - 
     (37*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-2*S[-5, 1, 1, Infinity] - 51*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/32 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (1327*S[2, Infinity]^2)/
        1120 + (9*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 + S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (453*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, -1, -1, 4, Infinity] -> (191*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (367211*S[2, Infinity]^4)/196000 + 
   ((333*S[-1, Infinity]^2)/896 + (1945*S[2, Infinity])/448)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/3 - 
     (125*S[-1, Infinity]*S[2, Infinity])/14 - (18841*S[3, Infinity])/3584)*
    S[5, Infinity] + S[1, Infinity]^2*((S[-1, Infinity]^2*S[2, Infinity]^2)/
      10 + (17*S[2, Infinity]^3)/140 - (3*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (11*S[3, Infinity]^2)/128 - 
     S[-1, Infinity]*S[5, Infinity] - (5*S[-5, -1, Infinity])/4) + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (-733760*S[-7, -1, Infinity] - 88693*S[5, 3, Infinity] - 
     47360*S[-5, -1, -1, -1, Infinity] - 87040*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((17*S[-1, Infinity]^4)/560 + 
     (173*S[-1, 1, 1, 1, Infinity])/70) + S[1, Infinity]*
    ((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (309*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (165*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((187*S[-1, Infinity]^2)/32 + (4661*S[2, Infinity])/448)*
      S[5, Infinity] - (90453*S[7, Infinity])/3584 + 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (33*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (97*S[2, Infinity]^2)/112 - 
       3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/70 - (15*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (7137*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (405*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -1, 1, -4, Infinity] -> (19*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (1139*S[2, Infinity]^4)/400 + (43*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((29*S[-1, Infinity]^3)/192 + (29*S[-1, Infinity]*S[2, Infinity])/64 - 
     (237*S[3, Infinity])/64)*S[5, Infinity] + 
   (-1792*S[-7, -1, Infinity] - 201*S[5, 3, Infinity] - 
     384*S[-5, -1, 1, 1, Infinity])/64 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/24 + (16*S[-1, 1, 1, 1, Infinity])/5) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
     (11*S[2, Infinity]^3)/35 + (S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/2 + (9*S[3, Infinity]^2)/16 + 
     (29*S[-1, Infinity]*S[5, Infinity])/64 - S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (35*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((47*S[-1, Infinity]^2)/16 - (299*S[2, Infinity])/64)*S[5, Infinity] + 
     (1401*S[7, Infinity])/256 + (7*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (7*S[-5, 1, 1, Infinity])/2 + S[3, Infinity]*(S[-1, Infinity]^4/6 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/2 - (161*S[2, Infinity]^2)/80 - 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/30 - 
       4*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/20 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 13*S[-5, -1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, 1, -1, 1, 4, Infinity] -> 
  -S[-1, Infinity]^8/192 - (947*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (10547*S[2, Infinity]^4)/28000 + ((-465*S[-1, Infinity]^2)/128 + 
     (463*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((77*S[-1, Infinity]^3)/48 - (231*S[-1, Infinity]*S[2, Infinity])/16 - 
     (4153*S[3, Infinity])/256)*S[5, Infinity] + 
   (2681*S[-1, Infinity]*S[7, Infinity])/256 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    2 + S[1, Infinity]^2*((-17*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
     (59*S[2, Infinity]^3)/560 - (S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/4 - (65*S[3, Infinity]^2)/128 + 
     (29*S[-1, Infinity]*S[5, Infinity])/64 + (3*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]/2)) + 
   S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/160 - 
     (21*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-255*S[-7, -1, Infinity] - 54*S[5, 3, Infinity] - 
     40*S[-5, -1, -1, -1, Infinity] - 35*S[-5, -1, 1, 1, Infinity] - 
     30*S[-1, 1, 1, 1, Infinity]^2)/10 + S[3, Infinity]*
    ((73*S[-1, Infinity]^5)/240 - (9*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (333*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((17*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (177*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (57*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((95*S[-1, Infinity]^2)/64 + (345*S[2, Infinity])/64)*S[5, Infinity] - 
     5*S[7, Infinity] - (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (67*S[2, Infinity]^2)/80 + 
       (5*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (49*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, 1, 1, -1, -4, Infinity] -> (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (20231*S[2, Infinity]^4)/11200 + (2*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/15 - (5*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   S[1, Infinity]^3*((S[-1, Infinity]*S[2, Infinity]^2)/15 - 
     (S[2, Infinity]*S[3, Infinity])/8 + (91*S[5, Infinity])/192) + 
   (1889*S[3, Infinity]*S[5, Infinity])/768 + 
   (5*(896*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
      128*S[-5, -1, 1, 1, Infinity]))/256 + S[1, Infinity]^2*
    ((-7*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (27*S[2, Infinity]^3)/70 + 
     S[3, Infinity]^2/8 + (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 - 3*S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/10 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-155*S[-1, Infinity]^2)/64 - (17*S[2, Infinity])/32)*S[5, Infinity] + 
     (1885*S[7, Infinity])/256 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/2 - 
     (5*S[-5, 1, 1, Infinity])/2 + S[3, Infinity]*
      ((-5*S[-1, Infinity]^4)/24 + (5*S[-1, Infinity]^2*S[2, Infinity])/4 + 
       (11*S[2, Infinity]^2)/16 + 5*S[-1, 1, 1, 1, Infinity]) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       2*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (S[-1, Infinity]^6/360 - 7*S[-5, -1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, 1, 1, -1, 4, Infinity] -> 
  S[-1, Infinity]^8/144 + (41*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (1249*S[2, Infinity]^4)/560 + ((81*S[-1, Infinity]^2)/32 - 
     (11*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   S[1, Infinity]^3*((-7*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     (S[2, Infinity]*S[3, Infinity])/16 - S[5, Infinity]/3) + 
   ((217*S[-1, Infinity]^3)/96 + (455*S[-1, Infinity]*S[2, Infinity])/32 - 
     (71*S[3, Infinity])/48)*S[5, Infinity] - 
   (2439*S[-1, Infinity]*S[7, Infinity])/256 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity]))/2 + 
   S[1, Infinity]^2*((17*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
     (123*S[2, Infinity]^3)/280 - (15*S[3, Infinity]^2)/32 + 
     (155*S[-1, Infinity]*S[5, Infinity])/64 + S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/2)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((21*S[-1, Infinity]^4)/160 + 
     (37*S[-1, 1, 1, 1, Infinity])/10) + 
   (1024*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] + 512*S[-1, 1, 1, 1, Infinity]^2)/128 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (87*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-403*S[-1, Infinity]^2)/64 - (191*S[2, Infinity])/16)*S[5, Infinity] + 
     (1081*S[7, Infinity])/64 + (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     4*S[5, -1, -1, Infinity] + S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 - (111*S[2, Infinity]^2)/80 - 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/120 - 
       S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/40 + (25*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (619*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-61*S[-1, Infinity]^6)/720 - S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]), S[1, 1, 1, 1, -4, Infinity] -> 
  (-7*S[1, Infinity]^4*S[2, Infinity]^2)/480 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (907*S[2, Infinity]^4)/1600 + 
   ((-15*S[-1, Infinity]^2)/16 + (19*S[2, Infinity])/48)*S[3, Infinity]^2 + 
   S[1, Infinity]^3*(-(S[2, Infinity]*S[3, Infinity])/12 + 
     (29*S[5, Infinity])/192) + ((31*S[-1, Infinity]^3)/32 - 
     (45*S[-1, Infinity]*S[2, Infinity])/32 + (49*S[3, Infinity])/768)*
    S[5, Infinity] - (1391*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[1, Infinity]^2*((-167*S[2, Infinity]^3)/560 + (7*S[3, Infinity]^2)/16 - 
     (93*S[-1, Infinity]*S[5, Infinity])/64 - (3*S[-5, -1, Infinity])/4) + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   3*S[2, Infinity]*S[-5, -1, Infinity] + S[1, Infinity]*
    ((-47*S[2, Infinity]^2*S[3, Infinity])/120 - 
     (19*S[2, Infinity]*S[5, Infinity])/32 + (111*S[7, Infinity])/256 - 
     (3*S[-5, 1, 1, Infinity])/2) + (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/
    2 + (-2432*S[-7, -1, Infinity] - 201*S[5, 3, Infinity] - 
     384*S[-5, -1, 1, 1, Infinity])/256 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/80 + (3*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*(S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/
      4 - (9*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 1, 1, 4, Infinity] -> 
  (S[1, Infinity]^4*S[2, Infinity]^2)/60 + (211*S[2, Infinity]^4)/350 + 
   (S[2, Infinity]*S[3, Infinity]^2)/3 + S[1, Infinity]^2*
    ((37*S[2, Infinity]^3)/140 - S[3, Infinity]^2/2) + 
   S[1, Infinity]^3*((S[2, Infinity]*S[3, Infinity])/6 - S[5, Infinity]/3) - 
   (11*S[3, Infinity]*S[5, Infinity])/3 + S[1, Infinity]*
    ((17*S[2, Infinity]^2*S[3, Infinity])/15 + S[2, Infinity]*
      S[5, Infinity] - 5*S[7, Infinity]), 
 S[1, -3, -1, -1, -1, -1, Infinity] -> (131*S[-1, Infinity]^8)/10080 + 
   (15*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + (217123*S[2, Infinity]^4)/
    112000 + ((17*S[-1, Infinity]^2)/112 + (7*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/192 + 
     (4497*S[-1, Infinity]*S[2, Infinity])/448 - (3951*S[3, Infinity])/512)*
    S[5, Infinity] - (1165*S[-1, Infinity]*S[7, Infinity])/448 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((91*S[-1, Infinity]^4)/480 + 
     (11*S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/160 + (13*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (1409*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 + (35*S[-5, -1, Infinity])/8 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/60 + 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (1129*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (517*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-155*S[-1, Infinity]^2)/16 - (2347*S[2, Infinity])/112)*
      S[5, Infinity] + (7753*S[7, Infinity])/224 - 
     (2*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/8 - (2453*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/12 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(25*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-95*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-8640*S[-7, -1, Infinity] - 1471*S[5, 3, Infinity] - 
     4480*S[-5, -1, 1, 1, Infinity] + 7680*S[-1, 1, 1, 1, Infinity]^2 + 
     5120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, -3, -1, -1, -1, 1, Infinity] -> (253*S[-1, Infinity]^8)/20160 + 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (711841*S[2, Infinity]^4)/
    784000 + ((-71*S[-1, Infinity]^2)/448 + (221*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 + 
     (509*S[-1, Infinity]*S[2, Infinity])/448 + (6211*S[3, Infinity])/3584)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((433*S[-1, Infinity]^4)/1680 + 
     (37*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((109*S[-1, Infinity]^5)/3360 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (219*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/18 + (197*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/1260 + 
     (181*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (593*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-31*S[-1, Infinity]^2)/4 - (5955*S[2, Infinity])/448)*S[5, Infinity] + 
     (14341*S[7, Infinity])/448 - (26*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (13*S[2, Infinity]^2)/140 + 
       (7*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/24 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (2*(13*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (-104640*S[-7, -1, Infinity] - 28317*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] - 23680*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -3, -1, -1, 1, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/1920 + (1087*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1756611*S[2, Infinity]^4)/784000 + 
   ((-725*S[-1, Infinity]^2)/224 - (2455*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/96 + 
     (22823*S[-1, Infinity]*S[2, Infinity])/896 + (77667*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((2131*S[-1, Infinity]^4)/6720 - (927*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((33*S[-1, Infinity]^5)/280 - 
     (S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (3623*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (97*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-37*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1021*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-7*S[-1, Infinity]^7)/360 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (2151*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (185*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (509*S[2, Infinity]*S[5, Infinity])/112 - (241225*S[7, Infinity])/7168 - 
     (37*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-59*S[-1, Infinity]^4)/192 + 
       (83*S[-1, Infinity]^2*S[2, Infinity])/32 + (2599*S[2, Infinity]^2)/
        560 + (59*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 + 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-74*S[-5, 1, 1, Infinity] - 
       137*S[5, -1, -1, Infinity] - 392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (590560*S[-7, -1, Infinity] + 102031*S[5, 3, Infinity] + 
     76800*S[-5, -1, -1, -1, Infinity] + 46400*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -3, -1, -1, 1, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/1344 + (911*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (145753*S[2, Infinity]^4)/196000 + 
   ((-963*S[-1, Infinity]^2)/896 + (4803*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2201*S[-1, Infinity]^3)/192 + 
     (5963*S[-1, Infinity]*S[2, Infinity])/896 - (14265*S[3, Infinity])/1792)*
    S[5, Infinity] - (182047*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((415*S[-1, Infinity]^4)/1344 - 
     (3*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/210 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (893*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (73*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-13*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-47*S[-1, Infinity]^7)/2520 - 
     (33*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (589*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (765*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-589*S[-1, Infinity]^2)/64 - (10925*S[2, Infinity])/896)*
      S[5, Infinity] + (122869*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 - (97*S[2, Infinity]^2)/112 + 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((2*S[-1, Infinity]^5)/15 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-23*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-66*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-125120*S[-7, -1, Infinity] - 47363*S[5, 3, Infinity] - 
     53120*S[-5, -1, -1, -1, Infinity] + 15040*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, -3, -1, 1, -1, -1, Infinity] -> (-23*S[-1, Infinity]^8)/5040 - 
   (1047*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (339879*S[2, Infinity]^4)/392000 + 
   ((-485*S[-1, Infinity]^2)/224 - (405*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 + 
     (433*S[-1, Infinity]*S[2, Infinity])/56 - (10919*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/56 + 
     (113*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/280 - 
     (113*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (6341*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (275*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (837*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(97*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/140 - 
     (15*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (2183*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-1271*S[-1, Infinity]^2)/128 - (14747*S[2, Infinity])/896)*
      S[5, Infinity] + (256219*S[7, Infinity])/7168 - 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/4 - (1067*S[2, Infinity]^2)/
        448 - (5*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-52*S[-5, 1, 1, Infinity] + 
       123*S[5, -1, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-324480*S[-7, -1, Infinity] - 19111*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 94720*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -3, -1, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/336 - (1349*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (57119*S[2, Infinity]^4)/11200 + ((-5287*S[-1, Infinity]^2)/1792 + 
     (1929*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((3503*S[-1, Infinity]^3)/384 - (20001*S[-1, Infinity]*S[2, Infinity])/
      896 - (19527*S[3, Infinity])/512)*S[5, Infinity] - 
   (169489*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/160 + 
     (39*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((47*S[-1, Infinity]^5)/240 - (5*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (1851*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (87*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(62*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (237*S[-5, -1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 151*S[5, -1, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/126 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (5189*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-527*S[-1, Infinity]^2)/32 - (25483*S[2, Infinity])/896)*
      S[5, Infinity] + (106427*S[7, Infinity])/1792 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (49*S[-1, Infinity]^2*S[2, Infinity])/32 - (1369*S[2, Infinity]^2)/
        560 - (5*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/20 - S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(55*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-45*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-24192*S[-7, -1, Infinity] - 4717*S[5, 3, Infinity] - 
     2944*S[-5, -1, -1, -1, Infinity] - 2688*S[-5, -1, 1, 1, Infinity] + 
     8192*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[1, -3, -1, 1, 1, -1, Infinity] -> (331*S[-1, Infinity]^8)/40320 + 
   (1221*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1662187*S[2, Infinity]^4)/784000 + 
   ((4145*S[-1, Infinity]^2)/1792 + (261*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 + 
     (4761*S[-1, Infinity]*S[2, Infinity])/896 - (42685*S[3, Infinity])/3584)*
    S[5, Infinity] + (7207*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((137*S[-1, Infinity]^4)/672 + 
     (249*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    ((-137*S[-1, Infinity]^6)/1440 - (5*S[-5, -1, Infinity])/28 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-57*S[-1, Infinity]^5)/280 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (873*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, 1, 1, 1, 1, Infinity]/14) + 
   (S[-1, Infinity]^2*(-61*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/504 + 
     (83*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (187*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1395*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-403*S[-1, Infinity]^2)/128 - (10265*S[2, Infinity])/896)*
      S[5, Infinity] + (86579*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 + 
       (45*S[-1, Infinity]^2*S[2, Infinity])/32 - (807*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/48 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]*(S[-5, -1, Infinity] + 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-6*S[-5, 1, 1, Infinity] + 85*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(64*S[-5, 1, 1, Infinity] + 71*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (242240*S[-7, -1, Infinity] + 391*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -3, -1, 1, 1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/10080 - (101*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (920763*S[2, Infinity]^4)/392000 + 
   ((-27*S[-1, Infinity]^2)/224 - (95*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((18*S[-1, Infinity]*S[2, Infinity])/7 + (10113*S[3, Infinity])/1792)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((169*S[-1, Infinity]^4)/840 - 
     (347*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + (83*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/280 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/2520 + 
     (4*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-93*S[-1, Infinity]^2)/32 - (49*S[2, Infinity])/32)*S[5, Infinity] + 
     (6699*S[7, Infinity])/512 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/96 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 - S[2, Infinity]^2/16 + 
       (17*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-5*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (37440*S[-7, -1, Infinity] + 27421*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -3, 1, -1, -1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/4480 - (521*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (333211*S[2, Infinity]^4)/392000 + 
   ((327*S[-1, Infinity]^2)/448 + (1205*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 - 
     (1219*S[-1, Infinity]*S[2, Infinity])/896 - (48821*S[3, Infinity])/3584)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/1344 + 
     (1079*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-223*S[-1, Infinity]^5)/3360 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (591*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (127*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-73*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (499*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(129*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/2520 - 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (739*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (611*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((217*S[-1, Infinity]^2)/128 - (2013*S[2, Infinity])/896)*
      S[5, Infinity] + (25013*S[7, Infinity])/3584 + 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/64 - 
       (55*S[-1, Infinity]^2*S[2, Infinity])/32 - (7579*S[2, Infinity]^2)/
        2240 - (47*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/80 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (33*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-51760*S[-7, -1, Infinity] - 11761*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 11840*S[-5, -1, 1, 1, Infinity] + 
     11200*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -3, 1, -1, -1, 1, Infinity] -> 
  (-97*S[-1, Infinity]^8)/10080 - (4117*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (102393*S[2, Infinity]^4)/28000 + 
   ((-7857*S[-1, Infinity]^2)/1792 + (287*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/384 - 
     (7845*S[-1, Infinity]*S[2, Infinity])/448 - (10101*S[3, Infinity])/512)*
    S[5, Infinity] + (165819*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/320 + S[-1, 1, 1, 1, Infinity]/
      8) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/240 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (12783*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (87*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(225*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (197*S[-5, -1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-134*S[-5, 1, 1, Infinity] - 
      141*S[5, -1, -1, Infinity] + 280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*((5*S[-1, Infinity]^7)/504 - 
     (77*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (197*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (1173*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((31*S[-1, Infinity]^2)/16 + (10121*S[2, Infinity])/896)*
      S[5, Infinity] - (115793*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/64 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (639*S[2, Infinity]^2)/1120 - 
       (5*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/120 - S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-2*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-131840*S[-7, -1, Infinity] - 14359*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 26880*S[-5, -1, 1, 1, Infinity] + 
     51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, -3, 1, -1, 1, -1, Infinity] -> (-7*S[-1, Infinity]^8)/320 - 
   (341*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (67261*S[2, Infinity]^4)/392000 + ((-1397*S[-1, Infinity]^2)/1792 - 
     (5449*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-1085*S[-1, Infinity]^3)/128 + (14465*S[-1, Infinity]*S[2, Infinity])/
      896 + (21821*S[3, Infinity])/3584)*S[5, Infinity] + 
   (49495*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/420 - 
     (276*S[-1, 1, 1, 1, Infinity])/35) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((8*S[-1, Infinity]^6)/45 - (104*S[-5, -1, Infinity])/7 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((1019*S[-1, Infinity]^5)/3360 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (405*S[-1, Infinity]*S[2, Infinity]^2)/56 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (103*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-81*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-67*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (1443*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (7415*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((1953*S[-1, Infinity]^2)/128 + (11107*S[2, Infinity])/448)*
      S[5, Infinity] - (340889*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 + (4573*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      ((11*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-59*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (230*S[-5, 1, 1, Infinity] - 211*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (690240*S[-7, -1, Infinity] + 130017*S[5, 3, Infinity] + 
     112640*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -3, 1, -1, 1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/1344 + (317*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (38257*S[2, Infinity]^4)/98000 + 
   ((-141*S[-1, Infinity]^2)/112 - (775*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((90*S[-1, Infinity]*S[2, Infinity])/7 + 
     (1719*S[3, Infinity])/224)*S[5, Infinity] - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-1163*S[-1, Infinity]^4)/3360 + 
     (193*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    ((17*S[-1, Infinity]^6)/144 + (65*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((139*S[-1, Infinity]^5)/672 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (6997*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(S[-1, Infinity]^7/630 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (139*S[-1, Infinity]*S[2, Infinity]^3)/70 - 
     (1537*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((217*S[-1, Infinity]^2)/32 - (39*S[2, Infinity])/14)*S[5, Infinity] + 
     (697*S[7, Infinity])/896 + (47*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/32 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 - (22*S[2, Infinity]^2)/7 - 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/120 - 
       5*S[-1, 1, 1, 1, 1, Infinity]) + (47*S[-5, 1, 1, Infinity] - 
       2*S[5, -1, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (25520*S[-7, -1, Infinity] + 10751*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] - 4000*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 22400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, -3, 1, 1, -1, -1, Infinity] -> 
  (-227*S[-1, Infinity]^8)/13440 + (351*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1953*S[2, Infinity]^4)/4000 + 
   ((627*S[-1, Infinity]^2)/896 - (283*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/64 - 
     (745*S[-1, Infinity]*S[2, Infinity])/448 + (3783*S[3, Infinity])/512)*
    S[5, Infinity] + (20957*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/160 - 
     (47*S[-1, 1, 1, 1, Infinity])/10) + 
   (19*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((109*S[-1, Infinity]^5)/480 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (737*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((217*S[-1, Infinity]^6)/1440 - (35*S[-5, -1, Infinity])/
      4 - (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-171*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 18*S[5, -1, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/504 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (223*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (83*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/64 - (1229*S[2, Infinity])/224)*
      S[5, Infinity] + (30895*S[7, Infinity])/1792 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 - S[-1, Infinity]^2*
        S[2, Infinity] - (17*S[2, Infinity]^2)/1120 + 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/240 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-3*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (19*S[-5, 1, 1, Infinity] + 26*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (55360*S[-7, -1, Infinity] + 8737*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] - 
     11520*S[-1, 1, 1, 1, Infinity]^2 + 25600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, -3, 1, 1, -1, 1, Infinity] -> 
  (-83*S[-1, Infinity]^8)/5040 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (156083*S[2, Infinity]^4)/392000 + 
   ((93*S[-1, Infinity]^2)/448 + (941*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/64 - (8907*S[-1, Infinity]*S[2, Infinity])/448 + 
     (3485*S[3, Infinity])/896)*S[5, Infinity] + 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-155*S[-1, Infinity]^4)/336 + 
     (227*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/560 - 
     (559*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2871*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (129*S[-1, 1, 1, 1, 1, Infinity])/14) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((103*S[-1, Infinity]^6)/720 + (3*S[-5, -1, Infinity])/14 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((29*S[-1, Infinity]^7)/2520 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (251*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-341*S[-1, Infinity]^2)/64 - (6325*S[2, Infinity])/448)*
      S[5, Infinity] + (72809*S[7, Infinity])/1792 - 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (757*S[2, Infinity]^2)/224 - 
       (15*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
       S[-1, 1, 1, 1, 1, Infinity]) + (-15*S[-5, 1, 1, Infinity] + 
       62*S[5, -1, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (-67360*S[-7, -1, Infinity] - 12701*S[5, 3, Infinity] - 
     13760*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, -3, 1, 1, 1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/3360 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (24443*S[2, Infinity]^4)/14000 + 
   (-S[-1, Infinity]^2/4 - (5*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/192 + (31*S[-1, Infinity]*S[2, Infinity])/16 + 
     (473*S[3, Infinity])/128)*S[5, Infinity] + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/96 + 
     (9*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/480 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-21*S[-5, -1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/140 + 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (41*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     ((31*S[-1, Infinity]^2)/64 + (223*S[2, Infinity])/64)*S[5, Infinity] - 
     (1403*S[7, Infinity])/128 - S[5, -1, -1, Infinity] + 
     S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/8 + (9*S[2, Infinity]^2)/40 - 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/120 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (14080*S[-7, -1, Infinity] + 1227*S[5, 3, Infinity] + 
     2560*S[-5, -1, 1, 1, Infinity] + 1280*S[-1, 1, 1, 1, Infinity]^2 - 
     12800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/640, 
 S[1, -3, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (28323*S[2, Infinity]^4)/56000 + 
   ((-19*S[-1, Infinity]^2)/16 + (3*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 + (63*S[-1, Infinity]*S[2, Infinity])/64 + 
     (499*S[3, Infinity])/256)*S[5, Infinity] - 
   (887*S[-1, Infinity]*S[7, Infinity])/256 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/160 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (37*S[-1, Infinity]*S[2, Infinity]^2)/80 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/144 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (7*S[-5, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      20*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 
      20*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*(S[-1, Infinity]^7/126 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     (47*S[2, Infinity]*S[5, Infinity])/16 - (1919*S[7, Infinity])/256 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (27*S[2, Infinity]^2)/20 + 
       (7*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/15 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - S[-1, Infinity]*(S[-5, -1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (-S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-5120*S[-7, -1, Infinity] - 561*S[5, 3, Infinity] - 
     640*S[-5, -1, 1, 1, Infinity] + 2560*S[-1, 1, 1, 1, Infinity]^2 + 
     12800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[1, 3, -1, -1, -1, -1, Infinity] -> (-13*S[-1, Infinity]^8)/5040 - 
   (333*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1058159*S[2, Infinity]^4)/784000 + 
   ((219*S[-1, Infinity]^2)/112 + (691*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 - 
     (8865*S[-1, Infinity]*S[2, Infinity])/896 - (13197*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-249*S[-1, Infinity]^4)/1120 - 
     (13*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/224 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (137*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (179*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-123*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(79*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/1260 - 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (181*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     ((7*S[-1, Infinity]^4)/96 + (31*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (571*S[2, Infinity]^2)/280)*S[3, Infinity] - 
     (247*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((155*S[-1, Infinity]^2)/16 + (7549*S[2, Infinity])/448)*
      S[5, Infinity] - (116903*S[7, Infinity])/3584 + 
     (89*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/12 - S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (89*S[-5, 1, 1, Infinity] - 128*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (18720*S[-7, -1, Infinity] - 13201*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 20800*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, 3, -1, -1, -1, 1, Infinity] -> (-11*S[-1, Infinity]^8)/4032 - 
   (2293*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (671319*S[2, Infinity]^4)/784000 + 
   ((2655*S[-1, Infinity]^2)/1792 + (7855*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/128 - 
     (8735*S[-1, Infinity]*S[2, Infinity])/448 + (74853*S[3, Infinity])/7168)*
    S[5, Infinity] - (61973*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-341*S[-1, Infinity]^4)/1120 + 
     (5*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-157*S[-1, Infinity]^5)/6720 - (529*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (18139*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (235*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(295*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (205*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] - 36*S[5, -1, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (983*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((7*S[-1, Infinity]^4)/96 + (19*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (131*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (213*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((1271*S[-1, Infinity]^2)/128 + (6945*S[2, Infinity])/448)*
      S[5, Infinity] - (27465*S[7, Infinity])/1792 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/80 - S[-1, 1, 1, 1, 1, Infinity]/
        2) - S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(3*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (15*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-1614400*S[-7, -1, Infinity] - 210079*S[5, 3, Infinity] - 
     213760*S[-5, -1, -1, -1, Infinity] - 64000*S[-5, -1, 1, 1, Infinity] + 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 3, -1, -1, 1, -1, Infinity] -> (-79*S[-1, Infinity]^8)/40320 + 
   (113*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (3651353*S[2, Infinity]^4)/
    784000 + ((6661*S[-1, Infinity]^2)/1792 - (14395*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1085*S[-1, Infinity]^3)/128 + 
     (1523*S[-1, Infinity]*S[2, Infinity])/896 + (220165*S[3, Infinity])/
      7168)*S[5, Infinity] + (73445*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-263*S[-1, Infinity]^4)/3360 - 
     (409*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/480 - (1489*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-295*S[-1, Infinity]^5)/1344 + 
     (263*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (27751*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (1083*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-229*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/2520 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (37*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (577*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((527*S[-1, Infinity]^2)/32 + (15597*S[2, Infinity])/448)*
      S[5, Infinity] - (6995*S[7, Infinity])/112 + 
     S[3, Infinity]*((31*S[-1, Infinity]^4)/96 - 
       (29*S[-1, Infinity]^2*S[2, Infinity])/16 + (433*S[2, Infinity]^2)/
        2240 - 6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((19*S[-1, Infinity]^5)/120 - (9*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-37*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (93*S[-5, 1, 1, Infinity] - 145*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 164*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2110400*S[-7, -1, Infinity] + 381877*S[5, 3, Infinity] + 
     229120*S[-5, -1, -1, -1, Infinity] + 335360*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 3, -1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/5040 + (1571*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (4367*S[2, Infinity]^4)/4000 + ((107*S[-1, Infinity]^2)/128 - 
     (31*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-3*S[-1, Infinity]*S[2, Infinity])/2 + (1063*S[3, Infinity])/512)*
    S[5, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^6/180 - 
     (53*S[-5, -1, Infinity])/8) + (S[-1, Infinity]^2*S[-5, -1, Infinity])/
    4 + S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/160 + 
     (61*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/240 + (25*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (61*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/840 - 
     (49*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (1179*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (199*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((1023*S[-1, Infinity]^2)/128 + (1667*S[2, Infinity])/128)*
      S[5, Infinity] - (21485*S[7, Infinity])/512 + 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[3, Infinity]*((31*S[-1, Infinity]^4)/96 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 + (393*S[2, Infinity]^2)/
        320 - 6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/40 - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*(5*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (6080*S[-7, -1, Infinity] - 3557*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 7040*S[-5, -1, 1, 1, Infinity] - 
     20480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, 3, -1, 1, -1, -1, Infinity] -> (-11*S[-1, Infinity]^8)/5040 + 
   (647*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (120919*S[2, Infinity]^4)/196000 + 
   ((675*S[-1, Infinity]^2)/256 - (403*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-2387*S[-1, Infinity]^3)/384 - 
     (1685*S[-1, Infinity]*S[2, Infinity])/128 + (13037*S[3, Infinity])/896)*
    S[5, Infinity] + (128867*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((83*S[-1, Infinity]^4)/672 - 
     (29*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-187*S[-1, Infinity]^5)/2240 + 
     (173*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (309*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (309*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - (151*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 97*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 + 
     (157*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (1289*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (281*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-31*S[-1, Infinity]^2)/16 + (335*S[2, Infinity])/128)*S[5, Infinity] - 
     (151*S[7, Infinity])/256 - 3*S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity] - (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/
      3 + S[3, Infinity]*(S[-1, Infinity]^4/32 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/4 + (97*S[2, Infinity]^2)/160 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/80 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]*(17*S[-5, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (1600*S[-7, -1, Infinity] + 17957*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 3, -1, 1, -1, 1, Infinity] -> (-79*S[-1, Infinity]^8)/10080 - 
   (97*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (148091*S[2, Infinity]^4)/
    98000 + ((2099*S[-1, Infinity]^2)/1792 + (14039*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/384 - 
     (28169*S[-1, Infinity]*S[2, Infinity])/896 - (74269*S[3, Infinity])/
      7168)*S[5, Infinity] + (255*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/672 - 
     (367*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/840 - 
     (197*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (56769*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (86*S[-1, 1, 1, 1, 1, Infinity])/7) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((29*S[-1, Infinity]^6)/720 + (25*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[-1, Infinity]^7/90 + 
     (209*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1823*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1319*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-217*S[-1, Infinity]^2)/32 - (253*S[2, Infinity])/224)*
      S[5, Infinity] + (124639*S[7, Infinity])/7168 - 
     (127*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/96 + 
       (29*S[-1, Infinity]^2*S[2, Infinity])/32 + (93*S[2, Infinity]^2)/280 + 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-127*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1639360*S[-7, -1, Infinity] - 304053*S[5, 3, Infinity] - 
     326400*S[-5, -1, -1, -1, Infinity] + 39680*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 3, -1, 1, 1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/4480 + (67*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (13361*S[2, Infinity]^4)/11200 + 
   ((411*S[-1, Infinity]^2)/256 - (165*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-1519*S[-1, Infinity]^3)/384 + 
     (703*S[-1, Infinity]*S[2, Infinity])/128 - (4975*S[3, Infinity])/1024)*
    S[5, Infinity] + S[2, Infinity]^2*((-39*S[-1, Infinity]^4)/320 - 
     (41*S[-1, 1, 1, 1, Infinity])/40) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (1271*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/288 - 13*S[-5, -1, Infinity] - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] + 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 - 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (465*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/4 + (4869*S[2, Infinity])/448)*S[5, Infinity] - 
     (89209*S[7, Infinity])/7168 + (93*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[3, Infinity]*((31*S[-1, Infinity]^4)/192 - 
       (35*S[-1, Infinity]^2*S[2, Infinity])/16 - (1817*S[2, Infinity]^2)/
        2240 - (17*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/240 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       5*S[-1, 1, 1, 1, 1, Infinity]) + (93*S[-5, 1, 1, Infinity] - 
       19*S[5, -1, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (30912*S[-7, -1, Infinity] + 4695*S[5, 3, Infinity] + 
     1792*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2 - 18432*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[1, 3, -1, 1, 1, 1, Infinity] -> 
  (-71*S[-1, Infinity]^8)/20160 - (309*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (114117*S[2, Infinity]^4)/112000 + 
   ((-385*S[-1, Infinity]^2)/256 - (597*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-1333*S[-1, Infinity]^3)/384 + 
     (1715*S[-1, Infinity]*S[2, Infinity])/128 + (2329*S[3, Infinity])/256)*
    S[5, Infinity] - (4365*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/960 - 
     (23*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((101*S[-1, Infinity]^5)/960 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (43*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (33*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-7*S[-5, -1, Infinity] + 
      20*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] + 
      40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/2520 + 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (199*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (1795*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((465*S[-1, Infinity]^2)/64 + (135*S[2, Infinity])/28)*S[5, Infinity] - 
     (29327*S[7, Infinity])/3584 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(S[-1, Infinity]^4/192 - 
       (S[-1, Infinity]^2*S[2, Infinity])/32 + (401*S[2, Infinity]^2)/448 + 
       (13*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/240 + S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (8*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-10560*S[-7, -1, Infinity] + 5631*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 30720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, 3, 1, -1, -1, -1, Infinity] -> 
  (421*S[-1, Infinity]^8)/40320 + (163*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (882307*S[2, Infinity]^4)/784000 + 
   ((-447*S[-1, Infinity]^2)/256 + (377*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (543*S[-1, Infinity]*S[2, Infinity])/128 - (30601*S[3, Infinity])/3584)*
    S[5, Infinity] + (18089*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((361*S[-1, Infinity]^4)/3360 + 
     (227*S[-1, 1, 1, 1, Infinity])/140) + 
   (-196160*S[-7, -1, Infinity] - 25609*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 51200*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/1344 - 
     (271*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (689*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (355*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/1440 + (101*S[-5, -1, Infinity])/
      14 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-41*S[-1, Infinity]^7)/2520 + 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (169*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (7285*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-1085*S[-1, Infinity]^2)/128 - (11771*S[2, Infinity])/896)*
      S[5, Infinity] + (13479*S[7, Infinity])/896 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/24 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 + (461*S[2, Infinity]^2)/
        448 + 5*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/60 + (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]*(39*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-141*S[-5, 1, 1, Infinity] + 104*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, 3, 1, -1, -1, 1, Infinity] -> (127*S[-1, Infinity]^8)/10080 - 
   (107*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (8571*S[2, Infinity]^4)/12250 + ((459*S[-1, Infinity]^2)/1792 + 
     (3435*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/128 - (4245*S[-1, Infinity]*S[2, Infinity])/896 - 
     (41283*S[3, Infinity])/7168)*S[5, Infinity] + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((919*S[-1, Infinity]^4)/3360 - 
     (27*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*(S[-1, Infinity]^5/42 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (1685*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/720 + (27*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-37*S[-1, Infinity]^7)/2520 + 
     (197*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1847*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (305*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-837*S[-1, Infinity]^2)/128 - (6893*S[2, Infinity])/896)*
      S[5, Infinity] + (125921*S[7, Infinity])/7168 - 
     (61*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/48 + 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 + (5977*S[2, Infinity]^2)/
        2240 + (11*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-122*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-415680*S[-7, -1, Infinity] - 116651*S[5, 3, Infinity] - 
     65280*S[-5, -1, -1, -1, Infinity] - 42240*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 3, 1, -1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/1680 + (1733*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (806651*S[2, Infinity]^4)/784000 + 
   ((-743*S[-1, Infinity]^2)/1792 - (16775*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/384 + 
     (3107*S[-1, Infinity]*S[2, Infinity])/112 + (90231*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((193*S[-1, Infinity]^4)/560 - 
     (15*S[-1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/840 + 
     (103*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (48581*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (103*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-431*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-643*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/105 - 
     (91*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (103*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((1023*S[-1, Infinity]^2)/128 + (1321*S[2, Infinity])/128)*
      S[5, Infinity] - (2417*S[7, Infinity])/64 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 + (623*S[2, Infinity]^2)/
        320 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] - 
       32*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (2800320*S[-7, -1, Infinity] + 475579*S[5, 3, Infinity] + 
     354560*S[-5, -1, -1, -1, Infinity] + 218880*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 3, 1, -1, 1, 1, Infinity] -> 
  (83*S[-1, Infinity]^8)/10080 + (251*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1447*S[2, Infinity]^4)/3500 + 
   ((-5025*S[-1, Infinity]^2)/1792 + (21*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((3317*S[-1, Infinity]^3)/384 + 
     (7137*S[-1, Infinity]*S[2, Infinity])/448 - (163*S[3, Infinity])/64)*
    S[5, Infinity] - (294071*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (-12160*S[-7, -1, Infinity] - 1991*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/240 + 
     (9*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/320 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (901*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (23*S[-5, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-23*S[-1, Infinity]^7)/1260 - 
     (113*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (2147*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (507*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-155*S[-1, Infinity]^2)/128 - (3851*S[2, Infinity])/896)*
      S[5, Infinity] + (23367*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 - 
       (S[-1, Infinity]^2*S[2, Infinity])/8 - (2173*S[2, Infinity]^2)/2240 - 
       S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((31*S[-1, Infinity]^5)/240 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-89*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-23*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-93*S[-5, 1, 1, Infinity] + 173*S[5, -1, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, 3, 1, 1, -1, -1, Infinity] -> (-11*S[-1, Infinity]^8)/5760 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (4901*S[2, Infinity]^4)/14000 + 
   ((41*S[-1, Infinity]^2)/128 - (23*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 + (65*S[-1, Infinity]*S[2, Infinity])/64 + 
     (1527*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/960 + S[-1, 1, 1, 1, Infinity]/
      40) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (10240*S[-7, -1, Infinity] + 3081*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/480 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (601*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-11*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/2520 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (747*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((217*S[-1, Infinity]^2)/128 + (3599*S[2, Infinity])/896)*
      S[5, Infinity] - (54069*S[7, Infinity])/7168 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/192 + 
       (53*S[-1, Infinity]^2*S[2, Infinity])/32 + (15*S[2, Infinity]^2)/28 + 
       (5*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-5*S[-1, Infinity]^5)/48 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 3, 1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/840 - 
   (1717*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1078167*S[2, Infinity]^4)/784000 + 
   ((-1581*S[-1, Infinity]^2)/1792 + (18847*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2387*S[-1, Infinity]^3)/384 - 
     (18101*S[-1, Infinity]*S[2, Infinity])/896 - (58465*S[3, Infinity])/
      7168)*S[5, Infinity] - (8383*S[-1, Infinity]*S[7, Infinity])/256 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-401*S[-1, Infinity]^4)/2240 + 
     (629*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((271*S[-1, Infinity]^5)/6720 - 
     (467*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (39579*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (761*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(445*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1209*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] + 14*S[5, -1, -1, Infinity] + 
      40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/120 + 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (2053*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (295*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-155*S[-1, Infinity]^2)/32 - (3139*S[2, Infinity])/448)*
      S[5, Infinity] + (180655*S[7, Infinity])/7168 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/64 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (185*S[2, Infinity]^2)/
        112 - (9*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/240 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(27*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-89*S[-5, 1, 1, Infinity] + 65*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2997440*S[-7, -1, Infinity] - 488193*S[5, 3, Infinity] - 
     372480*S[-5, -1, -1, -1, Infinity] - 236800*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 3, 1, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/2240 - (93*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (318077*S[2, Infinity]^4)/784000 + 
   ((-289*S[-1, Infinity]^2)/256 - (1927*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 + 
     (377*S[-1, Infinity]*S[2, Infinity])/128 - (29075*S[3, Infinity])/7168)*
    S[5, Infinity] + (23081*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + (47*S[-5, -1, Infinity])/14) + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/140 + 
     (47*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/448 - (65*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1199*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (195*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/630 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/8 + 
     ((-3*S[-1, Infinity]^2*S[2, Infinity])/4 + (73*S[2, Infinity]^2)/560)*
      S[3, Infinity] + (65*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/128 + (1425*S[2, Infinity])/896)*
      S[5, Infinity] - (37417*S[7, Infinity])/3584 + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 - S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (23360*S[-7, -1, Infinity] + 29593*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 3, 1, 1, 1, 1, Infinity] -> (36*S[2, Infinity]^4)/35 - 
   6*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((6*S[2, Infinity]^2*S[3, Infinity])/5 + S[2, Infinity]*S[5, Infinity] - 
     4*S[7, Infinity]) - S[5, 3, Infinity], 
 S[1, -2, -2, -1, -1, -1, Infinity] -> (109*S[-1, Infinity]^8)/10080 + 
   (869*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (472823*S[2, Infinity]^4)/196000 + 
   ((103*S[-1, Infinity]^2)/448 - (9185*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 + 
     (15627*S[-1, Infinity]*S[2, Infinity])/448 - (15745*S[3, Infinity])/
      3584)*S[5, Infinity] + (120615*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/420 - 
     (46*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/840 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (11629*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (78*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 - (599*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-233*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/630 - 
     (49*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (1613*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (351*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((31*S[-1, Infinity]^2)/4 + S[2, Infinity]/4)*S[5, Infinity] - 
     (1511*S[7, Infinity])/64 + S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (43*S[-1, Infinity]^2*S[2, Infinity])/8 - (97*S[2, Infinity]^2)/80 - 
       2*S[-1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((17*S[-1, Infinity]^5)/60 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-17*S[-5, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     8*(S[-5, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]*(87*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1735360*S[-7, -1, Infinity] + 248159*S[5, 3, Infinity] + 
     177920*S[-5, -1, -1, -1, Infinity] + 117760*S[-5, -1, 1, 1, Infinity] - 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -2, -2, -1, -1, 1, Infinity] -> (937*S[-1, Infinity]^8)/40320 + 
   (843*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (444439*S[2, Infinity]^4)/156800 + 
   ((-2691*S[-1, Infinity]^2)/1792 - (15171*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/192 + 
     (15871*S[-1, Infinity]*S[2, Infinity])/448 + (101657*S[3, Infinity])/
      7168)*S[5, Infinity] - (299*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (9*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((347*S[-1, Infinity]^4)/6720 + 
     (1683*S[-1, 1, 1, 1, Infinity])/280) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-57*S[-1, Infinity]^5)/448 + 
     (45*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (14247*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (855*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-193*S[-1, Infinity]^6)/1440 + (143*S[-5, -1, Infinity])/
      28 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/1260 - 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (759*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (685*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((341*S[-1, Infinity]^2)/64 - (15993*S[2, Infinity])/896)*
      S[5, Infinity] - (48617*S[7, Infinity])/7168 + 
     (137*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 - 
       (71*S[-1, Infinity]^2*S[2, Infinity])/32 + (17*S[2, Infinity]^2)/
        1120 + (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + 
       (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (33*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (137*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (283328*S[-7, -1, Infinity] + 72287*S[5, 3, Infinity] + 
     76544*S[-5, -1, -1, -1, Infinity] - 29952*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -2, -2, -1, 1, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/504 - (23*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (792901*S[2, Infinity]^4)/392000 + 
   ((-813*S[-1, Infinity]^2)/1792 + (627*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/48 + 
     (167*S[-1, Infinity]*S[2, Infinity])/896 + (13773*S[3, Infinity])/3584)*
    S[5, Infinity] - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/210 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-187*S[-1, Infinity]^5)/6720 + 
     (187*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3329*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (187*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/360 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (79*S[-5, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(61*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-4*S[-1, Infinity]^7)/315 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (809*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-279*S[-1, Infinity]^2)/64 - (5881*S[2, Infinity])/448)*
      S[5, Infinity] + (14067*S[7, Infinity])/1792 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (39*S[-1, Infinity]^2*S[2, Infinity])/32 + (2717*S[2, Infinity]^2)/
        2240 + 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/240 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (25*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-39*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-176320*S[-7, -1, Infinity] - 23347*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 32640*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -2, -2, -1, 1, 1, Infinity] -> 
  (71*S[-1, Infinity]^8)/10080 - (43*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (1404741*S[2, Infinity]^4)/784000 + 
   ((2741*S[-1, Infinity]^2)/1792 + (6681*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2449*S[-1, Infinity]^3)/384 - 
     (3639*S[-1, Infinity]*S[2, Infinity])/224 - (113073*S[3, Infinity])/
      7168)*S[5, Infinity] - (20245*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((167*S[-1, Infinity]^4)/1344 + 
     S[-1, 1, 1, 1, Infinity]/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/210 + 
     (125*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (2217*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(53*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-25*S[-5, -1, Infinity] + 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/1260 - 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (129*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (1181*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-961*S[-1, Infinity]^2)/128 - (8397*S[2, Infinity])/896)*
      S[5, Infinity] + (48379*S[7, Infinity])/3584 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/192 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/32 - (5507*S[2, Infinity]^2)/
        2240 - (13*S[-1, 1, 1, 1, Infinity])/8) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/60 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-55*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-4*S[-5, 1, 1, Infinity] + 59*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(31*S[-5, 1, 1, Infinity] + 122*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-370240*S[-7, -1, Infinity] - 223711*S[5, 3, Infinity] - 
     270080*S[-5, -1, -1, -1, Infinity] + 72960*S[-5, -1, 1, 1, Infinity] - 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, -2, 1, -1, -1, Infinity] -> (-257*S[-1, Infinity]^8)/40320 - 
   (33*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (812519*S[2, Infinity]^4)/
    784000 + ((885*S[-1, Infinity]^2)/896 + (8661*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 - 
     (6575*S[-1, Infinity]*S[2, Infinity])/224 - (61333*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-491*S[-1, Infinity]^4)/6720 + 
     (141*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((213*S[-1, Infinity]^5)/2240 - 
     (27*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (42951*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (639*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(64*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(409*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/84 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (2063*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (35*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-155*S[-1, Infinity]^2)/16 - (857*S[2, Infinity])/128)*
      S[5, Infinity] + (24313*S[7, Infinity])/512 - 
     (7*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/64 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (651*S[2, Infinity]^2)/
        320 - (15*S[-1, 1, 1, 1, Infinity])/8) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/20 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-7*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity] + 
       48*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-2705600*S[-7, -1, Infinity] - 461231*S[5, 3, Infinity] - 
     362240*S[-5, -1, -1, -1, Infinity] - 157440*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, -2, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/315 + (25*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (12713*S[2, Infinity]^4)/156800 + ((1801*S[-1, Infinity]^2)/896 - 
     (253*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-2635*S[-1, Infinity]^3)/384 - (14017*S[-1, Infinity]*S[2, Infinity])/
      896 + (7801*S[3, Infinity])/1792)*S[5, Infinity] + 
   (142057*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (-6080*S[-7, -1, Infinity] + 1643*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*(-S[-1, Infinity]^4/21 + 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/560 + (17*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (4769*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(79*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-23*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 158*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 + 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/5 + 
     ((15*S[-1, Infinity]^2*S[2, Infinity])/32 - (227*S[2, Infinity]^2)/1120)*
      S[3, Infinity] + (1721*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-279*S[-1, Infinity]^2)/128 + (1209*S[2, Infinity])/896)*
      S[5, Infinity] + (14067*S[7, Infinity])/1792 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-39*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -2, -2, 1, 1, -1, Infinity] -> (-9*S[-1, Infinity]^8)/4480 + 
   (113*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1525429*S[2, Infinity]^4)/784000 + 
   ((-727*S[-1, Infinity]^2)/1792 - (18919*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/64 + 
     (4531*S[-1, Infinity]*S[2, Infinity])/224 + (30069*S[3, Infinity])/7168)*
    S[5, Infinity] + (254431*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/840 - 
     (271*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/1440 - (409*S[-5, -1, Infinity])/
      28 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/1120 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (24037*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (103*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-353*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/420 - 
     (8*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (1991*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (265*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((341*S[-1, Infinity]^2)/64 + (877*S[2, Infinity])/112)*S[5, Infinity] - 
     (193083*S[7, Infinity])/7168 + S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (59*S[-1, Infinity]^2*S[2, Infinity])/32 + (73*S[2, Infinity]^2)/140 - 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*
      ((19*S[-1, Infinity]^5)/240 - (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-53*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (81*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 115*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2584000*S[-7, -1, Infinity] + 462521*S[5, 3, Infinity] + 
     387840*S[-5, -1, -1, -1, Infinity] + 131840*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, -2, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/1152 + (43*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (30263*S[2, Infinity]^4)/22400 - (2633*S[3, Infinity]*S[5, Infinity])/
    512 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/960 + 
     (43*S[-1, 1, 1, 1, Infinity])/40) + S[2, Infinity]*
    (S[-1, Infinity]^6/96 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-451*S[5, 3, Infinity] - 256*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/960 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (301*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/8) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/8 - 
     (201*S[2, Infinity]*S[5, Infinity])/64 + (2191*S[7, Infinity])/256 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/64 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/16 - (51*S[2, Infinity]^2)/64 - 
       (21*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (S[-1, Infinity]^5/20 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 + (3*S[-1, 1, 1, 1, 1, Infinity])/2)), 
 S[1, -2, 2, -1, -1, -1, Infinity] -> -S[-1, Infinity]^8/2520 - 
   (739*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (340409*S[2, Infinity]^4)/392000 + 
   ((1159*S[-1, Infinity]^2)/448 + (2393*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 - 
     (14377*S[-1, Infinity]*S[2, Infinity])/448 - (66999*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-1021*S[-1, Infinity]^4)/3360 - (99*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/14 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (42261*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (73*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (6*(18*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(379*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/90 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (2701*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (171*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/4 - (457*S[2, Infinity])/112)*S[5, Infinity] + 
     (171473*S[7, Infinity])/3584 - (22*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + S[3, Infinity]*(S[-1, Infinity]^4/4 - 
       (S[-1, Infinity]^2*S[2, Infinity])/8 - (1851*S[2, Infinity]^2)/1120 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/60 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 10*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-44*S[-5, 1, 1, Infinity] + 75*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-2686400*S[-7, -1, Infinity] - 469327*S[5, 3, Infinity] - 
     377600*S[-5, -1, -1, -1, Infinity] - 124160*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, 2, -1, -1, 1, Infinity] -> 
  (37*S[-1, Infinity]^8)/10080 + (257*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (879383*S[2, Infinity]^4)/784000 + 
   ((1947*S[-1, Infinity]^2)/448 - (99*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-3007*S[-1, Infinity]^3)/384 - 
     (13933*S[-1, Infinity]*S[2, Infinity])/896 + (126139*S[3, Infinity])/
      7168)*S[5, Infinity] + (160787*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-2393*S[-1, Infinity]^4)/6720 + 
     (433*S[-1, 1, 1, 1, Infinity])/280) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-149*S[-1, Infinity]^5)/840 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4931*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-127*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(92*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/1260 + 
     (77*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (3957*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (417*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-31*S[-1, Infinity]^2)/128 - (2805*S[2, Infinity])/896)*
      S[5, Infinity] + (182159*S[7, Infinity])/7168 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/64 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/32 - (71*S[2, Infinity]^2)/35 - 
       (5*S[-1, 1, 1, 1, Infinity])/8) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/20 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(87*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (4*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-264640*S[-7, -1, Infinity] + 33587*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] + 49920*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, 2, -1, 1, -1, Infinity] -> (19*S[-1, Infinity]^8)/672 + 
   (261*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (493553*S[2, Infinity]^4)/
    78400 + ((14353*S[-1, Infinity]^2)/1792 - (797*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/64 - 
     (821*S[-1, Infinity]*S[2, Infinity])/448 + (57075*S[3, Infinity])/1792)*
    S[5, Infinity] - (1069*S[-1, Infinity]*S[7, Infinity])/896 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((353*S[-1, Infinity]^4)/1680 + 
     (487*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/4 - (929*S[-5, -1, Infinity])/28 + 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((-1301*S[-1, Infinity]^5)/1680 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (11187*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (185*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/315 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (961*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (615*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((279*S[-1, Infinity]^2)/64 + (11437*S[2, Infinity])/448)*
      S[5, Infinity] - (222305*S[7, Infinity])/3584 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/4 + (403*S[2, Infinity]^2)/140 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-13*S[-1, Infinity]^5)/60 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (4*S[-1, Infinity]*(9*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-58*S[-5, 1, 1, Infinity] - 121*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(65*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (102400*S[-7, -1, Infinity] + 12623*S[5, 3, Infinity] + 
     512*S[-5, -1, -1, -1, Infinity] + 23680*S[-5, -1, 1, 1, Infinity] + 
     21504*S[-1, 1, 1, 1, Infinity]^2 - 64512*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, -2, 2, -1, 1, 1, Infinity] -> 
  (661*S[-1, Infinity]^8)/40320 - (1747*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1385113*S[2, Infinity]^4)/784000 + 
   ((1145*S[-1, Infinity]^2)/448 + (3671*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-153*S[-1, Infinity]*S[2, Infinity])/7 - 
     (2573*S[3, Infinity])/224)*S[5, Infinity] + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((787*S[-1, Infinity]^4)/2240 - 
     (1731*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-161*S[-1, Infinity]^6)/1440 - (169*S[-5, -1, Infinity])/
      14 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-1087*S[-1, Infinity]^5)/3360 + 
     (515*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1203*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (205*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1260 + 
     (8*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/5 + 
     (887*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/32 + (3839*S[2, Infinity])/112)*
      S[5, Infinity] - (226581*S[7, Infinity])/3584 - 
     (123*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-31*S[-1, Infinity]^4)/192 + 
       (75*S[-1, Infinity]^2*S[2, Infinity])/16 + (21317*S[2, Infinity]^2)/
        2240 + (59*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       9*S[-1, 1, 1, 1, 1, Infinity]) + (-123*S[-5, 1, 1, Infinity] - 
       109*S[5, -1, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (-2210*S[-7, -1, Infinity] - 2281*S[5, 3, Infinity] - 
     2040*S[-5, -1, -1, -1, Infinity] + 1760*S[-5, -1, 1, 1, Infinity] + 
     1540*S[-1, 1, 1, 1, Infinity]^2 + 1120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/280, S[1, -2, 2, 1, -1, -1, Infinity] -> 
  (1447*S[-1, Infinity]^8)/40320 + (104*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 - (242451*S[2, Infinity]^4)/49000 + 
   ((12445*S[-1, Infinity]^2)/1792 - (2427*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]^3)/384 + 
     (14923*S[-1, Infinity]*S[2, Infinity])/896 + (11111*S[3, Infinity])/896)*
    S[5, Infinity] - (17831*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (37*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((253*S[-1, Infinity]^4)/560 + 
     (967*S[-1, 1, 1, 1, Infinity])/140) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-893*S[-1, Infinity]^5)/1120 + 
     (3419*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3023*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (51*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (251*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-403*S[-1, Infinity]^6)/1440 - (1487*S[-5, -1, Infinity])/
      56 + (17*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-177*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/36 + 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (331*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (2033*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((589*S[-1, Infinity]^2)/128 + (15737*S[2, Infinity])/896)*
      S[5, Infinity] - (54195*S[7, Infinity])/896 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/32 + 
       (27*S[-1, Infinity]^2*S[2, Infinity])/8 + (409*S[2, Infinity]^2)/280 - 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/80 + 
       (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(19*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-33*S[-5, 1, 1, Infinity] - 166*S[5, -1, -1, Infinity] - 
       784*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(62*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (632960*S[-7, -1, Infinity] + 77591*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 89280*S[-5, -1, 1, 1, Infinity] + 
     94080*S[-1, 1, 1, 1, Infinity]^2 - 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -2, 2, 1, -1, 1, Infinity] -> 
  (1213*S[-1, Infinity]^8)/40320 - (1341*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (36779*S[2, Infinity]^4)/98000 + 
   ((-871*S[-1, Infinity]^2)/896 - (1849*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/384 + 
     (15485*S[-1, Infinity]*S[2, Infinity])/896 - (4183*S[3, Infinity])/3584)*
    S[5, Infinity] - (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((983*S[-1, Infinity]^4)/1344 - 
     (241*S[-1, 1, 1, 1, Infinity])/56) - 
   (31*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-347*S[-1, Infinity]^5)/1680 + 
     (173*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (107*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-103*S[-1, Infinity]^6)/480 + (145*S[-5, -1, Infinity])/
      56 + (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-8*S[-1, Infinity]^7)/315 + 
     (97*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (37*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (417*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((279*S[-1, Infinity]^2)/128 + (19273*S[2, Infinity])/896)*
      S[5, Infinity] - (126221*S[7, Infinity])/1792 - 
     (157*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-91*S[-1, Infinity]^4)/192 + 5*S[-1, Infinity]^2*
        S[2, Infinity] + (21307*S[2, Infinity]^2)/2240 + 
       (119*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-5*S[-1, Infinity]^5)/48 + (13*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-157*S[-5, 1, 1, Infinity] - 220*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (397440*S[-7, -1, Infinity] + 92509*S[5, 3, Infinity] + 
     96000*S[-5, -1, -1, -1, Infinity] - 37760*S[-5, -1, 1, 1, Infinity] + 
     134400*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -2, 2, 1, 1, -1, Infinity] -> 
  (431*S[-1, Infinity]^8)/40320 + (31*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (899383*S[2, Infinity]^4)/392000 + 
   ((411*S[-1, Infinity]^2)/896 - (797*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/384 + 
     (2945*S[-1, Infinity]*S[2, Infinity])/448 + (3469*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((2663*S[-1, Infinity]^4)/6720 - 
     (213*S[-1, 1, 1, 1, Infinity])/280) - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/28 + 
     (629*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2077*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-35*S[-1, Infinity]^6)/288 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(173*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-121*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1260 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (87*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (155*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((403*S[-1, Infinity]^2)/128 - (3677*S[2, Infinity])/896)*
      S[5, Infinity] + (48575*S[7, Infinity])/7168 + 
     (31*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/192 - 
       (67*S[-1, Infinity]^2*S[2, Infinity])/32 + (23*S[2, Infinity]^2)/70 + 
       (9*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((11*S[-1, Infinity]^5)/80 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - 8*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (31*S[-5, 1, 1, Infinity] + 
       3*S[5, -1, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-413120*S[-7, -1, Infinity] + 65901*S[5, 3, Infinity] + 
     119040*S[-5, -1, -1, -1, Infinity] - 163840*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, 2, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/96 - (13*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (366789*S[2, Infinity]^4)/392000 + 
   ((151*S[-1, Infinity]^2)/112 + (1395*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/192 + 
     (813*S[-1, Infinity]*S[2, Infinity])/896 - (52065*S[3, Infinity])/7168)*
    S[5, Infinity] - (92549*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((397*S[-1, Infinity]^4)/1680 + 
     (23*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-353*S[-1, Infinity]^5)/1680 + 
     (8*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (4369*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (123*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(9*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/72 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (191*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/63 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (515*S[-1, Infinity]*S[3, Infinity]^2)/224 - 
     (1145*S[2, Infinity]*S[5, Infinity])/112 + (35281*S[7, Infinity])/1792 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/24 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 - (1627*S[2, Infinity]^2)/560 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((2*S[-1, Infinity]^5)/15 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-19*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (13*S[-5, 1, 1, Infinity] + 76*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-18*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-429760*S[-7, -1, Infinity] - 115473*S[5, 3, Infinity] - 
     93440*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, -2, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/2520 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - 
   (321147*S[2, Infinity]^4)/112000 + 
   ((137*S[-1, Infinity]^2)/64 + (257*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-403*S[-1, Infinity]^3)/192 - (1555*S[-1, Infinity]*S[2, Infinity])/
      128 - (6607*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((157*S[-1, Infinity]^4)/480 + 
     (3*S[-1, 1, 1, 1, Infinity])/20) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(S[-1, Infinity]^5/12 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/40 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 9*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(23*S[-5, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] + 
      48*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/90 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (73*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (477*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/2 + (12963*S[2, Infinity])/448)*S[5, Infinity] - 
     (8405*S[7, Infinity])/112 + (115*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[3, Infinity]*(-S[-1, Infinity]^4/4 + 
       (37*S[-1, Infinity]^2*S[2, Infinity])/8 + (2389*S[2, Infinity]^2)/
        560 + (5*S[-1, 1, 1, 1, Infinity])/2) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-13*S[-1, Infinity]^5)/60 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (115*S[-5, 1, 1, Infinity] - 242*S[5, -1, -1, Infinity] - 
       784*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (42720*S[-7, -1, Infinity] - 463*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 8000*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 - 56320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[1, 2, -2, -1, -1, 1, Infinity] -> 
  (-463*S[-1, Infinity]^8)/40320 - (581*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (3668751*S[2, Infinity]^4)/784000 + 
   ((1503*S[-1, Infinity]^2)/1792 - (687*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-713*S[-1, Infinity]^3)/384 - 
     (3791*S[-1, Infinity]*S[2, Infinity])/224 + (39415*S[3, Infinity])/7168)*
    S[5, Infinity] + (5525*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((967*S[-1, Infinity]^4)/3360 - 
     (233*S[-1, 1, 1, 1, Infinity])/35) + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((743*S[-1, Infinity]^5)/2240 - 
     (1165*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (17533*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (305*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((103*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-61*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(59*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/1260 - 
     (319*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1263*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (2271*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1953*S[-1, Infinity]^2)/128 + (22583*S[2, Infinity])/448)*
      S[5, Infinity] - (274485*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 2*S[-1, Infinity]^2*
        S[2, Infinity] + (2217*S[2, Infinity]^2)/560 + 
       (7*S[-1, 1, 1, 1, Infinity])/4) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/10 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (29*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-9*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (16*S[-5, 1, 1, Infinity] - 159*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-83*S[-5, 1, 1, Infinity] - 76*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (713920*S[-7, -1, Infinity] + 33259*S[5, 3, Infinity] - 
     144640*S[-5, -1, -1, -1, Infinity] + 261120*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, -2, -1, 1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/672 - (1569*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (417869*S[2, Infinity]^4)/196000 + 
   ((-1773*S[-1, Infinity]^2)/448 + (967*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 - 
     (2501*S[-1, Infinity]*S[2, Infinity])/224 - (37679*S[3, Infinity])/7168)*
    S[5, Infinity] + (103431*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/42 - 
     (64*S[-1, 1, 1, 1, Infinity])/7) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/4 + (319*S[-5, -1, Infinity])/56 - 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((1441*S[-1, Infinity]^5)/2240 - 
     (1775*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (28223*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (599*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^2*(-12*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-65*S[-5, 1, 1, Infinity] - 107*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/315 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (4997*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (2757*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((403*S[-1, Infinity]^2)/128 + (7023*S[2, Infinity])/896)*
      S[5, Infinity] + (141713*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 - 
       (51*S[-1, Infinity]^2*S[2, Infinity])/32 - (233*S[2, Infinity]^2)/
        560 - S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((31*S[-1, Infinity]^5)/240 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (21*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-53*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (116*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-651200*S[-7, -1, Infinity] - 53839*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 81920*S[-5, -1, 1, 1, Infinity] - 
     430080*S[-1, 1, 1, 1, Infinity]^2 + 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, -2, -1, 1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/1680 + (183*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (18791*S[2, Infinity]^4)/14000 + 
   ((-29*S[-1, Infinity]^2)/16 + (61*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   (6*S[-1, Infinity]*S[2, Infinity] - (513*S[3, Infinity])/128)*
    S[5, Infinity] - S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-149*S[-1, Infinity]^4)/480 + 
     (89*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/90 + (77*S[-5, -1, Infinity])/8 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*(S[-1, Infinity]^5/3 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (141*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/1260 - 
     (S[-1, Infinity]^5*S[2, Infinity])/60 - 
     (113*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (45*S[-1, Infinity]*S[2, Infinity]^3)/28 - 
     (281*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((217*S[-1, Infinity]^2)/128 - (12359*S[2, Infinity])/896)*
      S[5, Infinity] + (30643*S[7, Infinity])/896 + 
     (181*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/8 - (12619*S[2, Infinity]^2)/
        2240 - 6*S[-1, 1, 1, 1, Infinity]) + 
     (181*S[-5, 1, 1, Infinity] + 132*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-8000*S[-7, -1, Infinity] + 221*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 2720*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2 - 2560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/640, S[1, 2, -2, 1, -1, -1, Infinity] -> 
  (-817*S[-1, Infinity]^8)/40320 + (191*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (5496969*S[2, Infinity]^4)/784000 + 
   ((-13267*S[-1, Infinity]^2)/1792 + (1689*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((3379*S[-1, Infinity]^3)/384 + 
     (5815*S[-1, Infinity]*S[2, Infinity])/896 - (30673*S[3, Infinity])/3584)*
    S[5, Infinity] - (21415*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/280 + 
     (113*S[-1, 1, 1, 1, Infinity])/140) + 
   (19*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((2363*S[-1, Infinity]^5)/6720 - 
     (907*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (14461*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (949*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((133*S[-1, Infinity]^6)/1440 + (1775*S[-5, -1, Infinity])/
      56 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(279*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      64*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/36 + 
     (93*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (5207*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-775*S[-1, Infinity]^2)/64 - (29311*S[2, Infinity])/896)*
      S[5, Infinity] + (221257*S[7, Infinity])/3584 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (607*S[2, Infinity]^2)/560 + 
       (7*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/20 + (5*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - (21*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(53*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-72*S[-5, 1, 1, Infinity] + 103*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-334240*S[-7, -1, Infinity] - 34057*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] - 56160*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 2, -2, 1, -1, 1, Infinity] -> 
  (-277*S[-1, Infinity]^8)/10080 + (449*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (92093*S[2, Infinity]^4)/784000 + 
   ((419*S[-1, Infinity]^2)/1792 - (2005*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 - 
     (1373*S[-1, Infinity]*S[2, Infinity])/896 + (55777*S[3, Infinity])/7168)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-69*S[-1, Infinity]^4)/140 + 
     (29*S[-1, 1, 1, 1, Infinity])/35) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((263*S[-1, Infinity]^5)/1680 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (1079*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/60 - (467*S[-5, -1, Infinity])/56 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((8*S[-1, Infinity]^7)/315 + 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (137*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (51*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-93*S[-1, Infinity]^2)/32 - (5447*S[2, Infinity])/448)*
      S[5, Infinity] + (292609*S[7, Infinity])/7168 + 
     (31*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (43*S[-1, Infinity]^2*S[2, Infinity])/32 - (6023*S[2, Infinity]^2)/
        1120 - 7*S[-1, 1, 1, 1, Infinity]) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + (31*S[-5, 1, 1, Infinity] + 
       115*S[5, -1, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (139200*S[-7, -1, Infinity] + 20033*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 120320*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, -2, 1, 1, -1, Infinity] -> 
  (-361*S[-1, Infinity]^8)/40320 - (29*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 - (378859*S[2, Infinity]^4)/156800 + 
   ((1495*S[-1, Infinity]^2)/1792 + (3911*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/384 - 
     (8711*S[-1, Infinity]*S[2, Infinity])/896 - (1999*S[3, Infinity])/7168)*
    S[5, Infinity] + (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-771*S[-1, Infinity]^4)/2240 + 
     (283*S[-1, 1, 1, 1, Infinity])/280) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((131*S[-1, Infinity]^5)/1680 - 
     (83*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (5191*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]^2*(5*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/288 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-305*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/1260 + 
     (137*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (353*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((403*S[-1, Infinity]^2)/128 + (7699*S[2, Infinity])/896)*
      S[5, Infinity] - (45407*S[7, Infinity])/1792 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-29*S[-1, Infinity]^4)/192 + 
       (43*S[-1, Infinity]^2*S[2, Infinity])/16 + (1227*S[2, Infinity]^2)/
        1120 + S[-1, 1, 1, 1, Infinity]/8) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/80 + 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*(3*S[-5, 1, 1, Infinity] + 24*S[5, -1, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (82624*S[-7, -1, Infinity] - 10005*S[5, 3, Infinity] - 
     23808*S[-5, -1, -1, -1, Infinity] + 32768*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 172032*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 2, -2, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/128 - (233*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (876081*S[2, Infinity]^4)/784000 + 
   ((-1331*S[-1, Infinity]^2)/448 + (55*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/192 + 
     (255*S[-1, Infinity]*S[2, Infinity])/112 + (2635*S[3, Infinity])/896)*
    S[5, Infinity] - (25861*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1529*S[-1, Infinity]^4)/6720 + 
     (479*S[-1, 1, 1, 1, Infinity])/280) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1301*S[-1, Infinity]^5)/6720 - 
     (853*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1637*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/288 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(85*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(89*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-89*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/63 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/16 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     (325*S[2, Infinity]*S[5, Infinity])/64 - (9279*S[7, Infinity])/512 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-21*S[-1, Infinity]^4)/64 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/8 + (197*S[2, Infinity]^2)/64 + 
       (35*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/60 + (7*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(5*S[-5, -1, Infinity] + 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (-7*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-323200*S[-7, -1, Infinity] - 17897*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 56960*S[-5, -1, 1, 1, Infinity] + 
     62720*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, 2, -1, -1, -1, Infinity] -> 
  (-109*S[-1, Infinity]^8)/10080 + (127*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 + (5358587*S[2, Infinity]^4)/784000 + 
   ((-3151*S[-1, Infinity]^2)/448 + (2225*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/64 + 
     (2777*S[-1, Infinity]*S[2, Infinity])/448 - (2*S[3, Infinity])/7)*
    S[5, Infinity] - (89855*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/672 + 
     (71*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((299*S[-1, Infinity]^5)/1680 + (65*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (10547*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (229*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + (1777*S[-5, -1, Infinity])/
      56 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(271*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/630 + 
     (113*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (83*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (513*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-31*S[-1, Infinity]^2)/2 - (567*S[2, Infinity])/16)*S[5, Infinity] + 
     (4323*S[7, Infinity])/64 - (2*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 - (297*S[2, Infinity]^2)/160 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/60 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 12*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(19*S[-5, -1, Infinity] + 
        16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
     8*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]*(-90*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-43700*S[-7, -1, Infinity] - 3727*S[5, 3, Infinity] - 
     40*S[-5, -1, -1, -1, Infinity] - 7100*S[-5, -1, 1, 1, Infinity] + 
     33600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/560, 
 S[1, 2, 2, -1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/630 + 
   (133*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (566623*S[2, Infinity]^4)/
    784000 + ((-45*S[-1, Infinity]^2)/896 - (1045*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (411*S[-1, Infinity]*S[2, Infinity])/224 + (1685*S[3, Infinity])/224)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-437*S[-1, Infinity]^4)/3360 - 
     (263*S[-1, 1, 1, 1, Infinity])/140) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*((101*S[-1, Infinity]^5)/1680 + 
     (151*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3973*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (101*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/360 - (485*S[-5, -1, Infinity])/
      56 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/1260 + 
     (73*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/70 + 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-403*S[-1, Infinity]^2)/64 - (6577*S[2, Infinity])/448)*
      S[5, Infinity] + (152233*S[7, Infinity])/3584 - 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/24 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 - (729*S[2, Infinity]^2)/
        224 - 5*S[-1, 1, 1, 1, Infinity]) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + (-22*S[-5, 1, 1, Infinity] + 
       69*S[5, -1, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (7120*S[-7, -1, Infinity] + 3567*S[5, 3, Infinity] + 
     800*S[-5, -1, -1, -1, Infinity] + 7600*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, 2, 2, -1, 1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/504 - (261*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (90507*S[2, Infinity]^4)/196000 + 
   ((-1305*S[-1, Infinity]^2)/448 - (2277*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 + 
     (7183*S[-1, Infinity]*S[2, Infinity])/448 - (4733*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-1189*S[-1, Infinity]^4)/3360 + 
     (69*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/280 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (417*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (87*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/360 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (2*(-26*S[-5, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-139*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((4*S[-1, Infinity]^7)/315 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (4601*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-403*S[-1, Infinity]^2)/128 - (8877*S[2, Infinity])/896)*
      S[5, Infinity] + (122249*S[7, Infinity])/7168 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (39*S[-1, Infinity]^2*S[2, Infinity])/8 - (6961*S[2, Infinity]^2)/
        2240 - 3*S[-1, 1, 1, 1, Infinity]) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/60 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (12*S[-5, 1, 1, Infinity] + 89*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (51200*S[-7, -1, Infinity] + 68041*S[5, 3, Infinity] + 
     75520*S[-5, -1, -1, -1, Infinity] - 71040*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, 2, -1, 1, 1, Infinity] -> 
  (-179*S[-1, Infinity]^8)/40320 + (181*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (128229*S[2, Infinity]^4)/24500 + 
   ((-10079*S[-1, Infinity]^2)/1792 - (2601*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/384 + 
     (22415*S[-1, Infinity]*S[2, Infinity])/896 - (1677*S[3, Infinity])/224)*
    S[5, Infinity] - (102787*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-241*S[-1, Infinity]^4)/1680 + 
     (377*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/280 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (1789*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (201*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/480 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (157*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-129*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/1260 + 
     (103*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (937*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (343*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-403*S[-1, Infinity]^2)/64 - (1653*S[2, Infinity])/64)*
      S[5, Infinity] + (8037*S[7, Infinity])/256 - S[-5, 1, 1, Infinity] + 
     5*S[5, -1, -1, Infinity] - (2*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[3, Infinity]*
      ((-5*S[-1, Infinity]^4)/96 - (53*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (241*S[2, Infinity]^2)/320 + (5*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-5*S[-1, Infinity]^5)/48 + 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       11*S[-1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-40*S[-5, 1, 1, Infinity] + 51*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-216320*S[-7, -1, Infinity] - 353*S[5, 3, Infinity] + 
     51200*S[-5, -1, -1, -1, Infinity] - 89280*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 2, 2, 1, -1, -1, Infinity] -> 
  (47*S[-1, Infinity]^8)/40320 - (953*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (230763*S[2, Infinity]^4)/196000 + 
   ((-1825*S[-1, Infinity]^2)/896 - (3361*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 + 
     (11169*S[-1, Infinity]*S[2, Infinity])/896 - (39713*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((-997*S[-1, Infinity]^4)/6720 + (87*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/336 - 
     (397*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1105*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (145*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-121*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (3*S[-1, Infinity]^2*(39*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/84 - 
     (569*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (41*S[-1, Infinity]*S[2, Infinity]^3)/8 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((403*S[-1, Infinity]^2)/128 + (2901*S[2, Infinity])/896)*
      S[5, Infinity] - (2131*S[7, Infinity])/112 + 
     (26*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/64 - 
       (153*S[-1, Infinity]^2*S[2, Infinity])/32 - (3001*S[2, Infinity]^2)/
        2240 - (15*S[-1, 1, 1, 1, Infinity])/8) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((19*S[-1, Infinity]^5)/80 - (9*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (52*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (69840*S[-7, -1, Infinity] + 13381*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 2, 2, 1, -1, 1, Infinity] -> 
  (-187*S[-1, Infinity]^8)/40320 - (3323*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (99937*S[2, Infinity]^4)/98000 + 
   ((377*S[-1, Infinity]^2)/1792 + (3615*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/128 - 
     (93*S[-1, Infinity]*S[2, Infinity])/28 - (74089*S[3, Infinity])/3584)*
    S[5, Infinity] - (118619*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/1344 - 
     (251*S[-1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (116320*S[-7, -1, Infinity] - 38671*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2)/8960 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((127*S[-1, Infinity]^5)/672 - 
     (677*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (513*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (25*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((107*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-347*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-67*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/105 - 
     (26*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (299*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (3455*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((93*S[-1, Infinity]^2)/32 + (117*S[2, Infinity])/224)*S[5, Infinity] - 
     (17765*S[7, Infinity])/7168 + S[3, Infinity]*((7*S[-1, Infinity]^4)/64 - 
       (45*S[-1, Infinity]^2*S[2, Infinity])/16 + (627*S[2, Infinity]^2)/
        2240 - (21*S[-1, 1, 1, 1, Infinity])/8) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((49*S[-1, Infinity]^5)/240 - (9*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-83*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (180*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(76*S[-5, 1, 1, Infinity] + 83*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, 2, 2, 1, 1, -1, Infinity] -> (-43*S[-1, Infinity]^8)/13440 + 
   (837*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (271037*S[2, Infinity]^4)/196000 + 
   ((699*S[-1, Infinity]^2)/224 + (1927*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 - 
     (7823*S[-1, Infinity]*S[2, Infinity])/448 + (21907*S[3, Infinity])/1792)*
    S[5, Infinity] - (45273*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/3360 - 
     (89*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/1440 - (94*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/1120 + 
     (299*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (5357*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (139*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(115*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/420 + 
     (143*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (419*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (295*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((93*S[-1, Infinity]^2)/64 + (1487*S[2, Infinity])/448)*S[5, Infinity] + 
     (81113*S[7, Infinity])/3584 + S[3, Infinity]*(S[-1, Infinity]^4/96 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 - (59*S[2, Infinity]^2)/280 - 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*(-S[-1, Infinity]^5/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       6*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-5*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-23360*S[-7, -1, Infinity] - 29593*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 2, 2, 1, 1, 1, Infinity] -> 
  (-762*S[2, Infinity]^4)/175 + 20*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((-12*S[2, Infinity]^2*S[3, Infinity])/5 + 
     10*S[7, Infinity]) + 4*S[5, 3, Infinity], 
 S[1, -2, -1, -2, -1, -1, Infinity] -> (-277*S[-1, Infinity]^8)/10080 - 
   (9453*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1953087*S[2, Infinity]^4)/112000 + 
   ((-15207*S[-1, Infinity]^2)/896 + (17975*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((8711*S[-1, Infinity]^3)/192 - 
     (51341*S[-1, Infinity]*S[2, Infinity])/448 - (70925*S[3, Infinity])/
      1024)*S[5, Infinity] - (854529*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-211*S[-1, Infinity]^4)/160 + 
     (193*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((291*S[-1, Infinity]^5)/320 - (285*S[-1, Infinity]^3*S[2, Infinity])/
      32 - (291103*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (207*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/144 + (665*S[-5, -1, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(2615*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((4*S[-1, Infinity]^7)/63 + 
     (111*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (257*S[-1, Infinity]*S[2, Infinity]^3)/70 + 
     (28159*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-527*S[-1, Infinity]^2)/8 - (6981*S[2, Infinity])/56)*S[5, Infinity] + 
     (147121*S[7, Infinity])/448 + S[3, Infinity]*(-S[-1, Infinity]^4/48 - 
       (61*S[-1, Infinity]^2*S[2, Infinity])/16 - (3379*S[2, Infinity]^2)/
        280 + S[-1, 1, 1, 1, Infinity]/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-2*S[-1, Infinity]^5)/15 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(-31*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (4*(46*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-597*S[-5, 1, 1, Infinity] + 
      824*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-3064640*S[-7, -1, Infinity] - 482333*S[5, 3, Infinity] - 
     326400*S[-5, -1, -1, -1, Infinity] - 275200*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -2, -1, -2, -1, 1, Infinity] -> 
  (-1489*S[-1, Infinity]^8)/40320 - (2533*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (3172453*S[2, Infinity]^4)/784000 + 
   ((3987*S[-1, Infinity]^2)/1792 + (21747*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/384 - 
     (52727*S[-1, Infinity]*S[2, Infinity])/896 - (73329*S[3, Infinity])/
      7168)*S[5, Infinity] + (443*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-4427*S[-1, Infinity]^4)/6720 - 
     (1103*S[-1, 1, 1, 1, Infinity])/280) + 
   (43*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((443*S[-1, Infinity]^5)/2240 - 
     (443*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (78411*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (1329*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((89*S[-1, Infinity]^6)/360 - (163*S[-5, -1, Infinity])/
      14 - 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/630 + 
     (81*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (2181*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (695*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-2139*S[-1, Infinity]^2)/128 - (1711*S[2, Infinity])/112)*
      S[5, Infinity] + (322439*S[7, Infinity])/3584 - 
     (139*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((17*S[-1, Infinity]^4)/48 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/8 - (3763*S[2, Infinity]^2)/
        560 - (17*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/240 - 10*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (39*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-139*S[-5, 1, 1, Infinity] + 344*S[5, -1, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1965760*S[-7, -1, Infinity] - 351683*S[5, 3, Infinity] - 
     567040*S[-5, -1, -1, -1, Infinity] + 280320*S[-5, -1, 1, 1, Infinity] - 
     340480*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, -1, -2, 1, -1, Infinity] -> 
  (-89*S[-1, Infinity]^8)/10080 + (3149*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (507111*S[2, Infinity]^4)/78400 + 
   ((4461*S[-1, Infinity]^2)/1792 - (28211*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/128 + 
     (1425*S[-1, Infinity]*S[2, Infinity])/28 + (32009*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((779*S[-1, Infinity]^4)/6720 - 
     (1199*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-95*S[-1, Infinity]^5)/448 + 
     (475*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (16815*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (1425*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/160 - 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (8*(67*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(401*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/630 - 
     (323*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1329*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (925*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((4991*S[-1, Infinity]^2)/128 + (55387*S[2, Infinity])/896)*
      S[5, Infinity] - (125611*S[7, Infinity])/896 + 
     (185*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (863*S[2, Infinity]^2)/280 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/240 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (25*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (185*S[-5, 1, 1, Infinity] - 214*S[5, -1, -1, Infinity] - 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1517248*S[-7, -1, Infinity] + 222165*S[5, 3, Infinity] + 
     121600*S[-5, -1, -1, -1, Infinity] + 157952*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -2, -1, -2, 1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/4032 - (789*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (252943*S[2, Infinity]^4)/39200 + 
   ((-11805*S[-1, Infinity]^2)/896 + (28211*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/16 + 
     (29247*S[-1, Infinity]*S[2, Infinity])/896 - (51413*S[3, Infinity])/
      7168)*S[5, Infinity] - (720375*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-1829*S[-1, Infinity]^4)/6720 + 
     (1129*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((3077*S[-1, Infinity]^5)/6720 - 
     (825*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (70701*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (43*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (393*S[-1, 1, 1, 1, 1, Infinity])/14) - 8*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/16 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (8*(67*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(431*S[-5, -1, Infinity] + 
      2016*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-489*S[-5, 1, 1, Infinity] + 
      568*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*(S[-1, Infinity]^7/63 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (323*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((155*S[-1, Infinity]^2)/64 - (1687*S[2, Infinity])/64)*S[5, Infinity] + 
     (31133*S[7, Infinity])/512 - (4*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[3, Infinity]*
      ((-3*S[-1, Infinity]^4)/16 - (3*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (13*S[2, Infinity]^2)/80 + (9*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/240 + 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       8*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-25*S[-5, -1, Infinity] + 
        96*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-17*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
       128*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-1517248*S[-7, -1, Infinity] - 222165*S[5, 3, Infinity] - 
     121600*S[-5, -1, -1, -1, Infinity] - 157952*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -2, -1, 2, -1, -1, Infinity] -> 
  (87*S[-1, Infinity]^8)/4480 + (837*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (5440401*S[2, Infinity]^4)/784000 + 
   ((2055*S[-1, Infinity]^2)/896 - (24201*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1271*S[-1, Infinity]^3)/192 + 
     (71359*S[-1, Infinity]*S[2, Infinity])/896 + (82575*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((8737*S[-1, Infinity]^4)/6720 - (1247*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-129*S[-1, Infinity]^5)/280 + 
     (129*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (81777*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (387*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-377*S[-1, Infinity]^6)/1440 + 
     (23*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (8*(86*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-817*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/21 - 
     (253*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (7303*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1415*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((3875*S[-1, Infinity]^2)/64 + (37049*S[2, Infinity])/448)*
      S[5, Infinity] - (1844307*S[7, Infinity])/7168 + 
     (283*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/24 + 
       (83*S[-1, Infinity]^2*S[2, Infinity])/16 + (27183*S[2, Infinity]^2)/
        2240 + 5*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/10 + 12*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (566*S[-5, 1, 1, Infinity] - 
       897*S[5, -1, -1, Infinity] - 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (2723200*S[-7, -1, Infinity] + 403601*S[5, 3, Infinity] + 
     267520*S[-5, -1, -1, -1, Infinity] + 247680*S[-5, -1, 1, 1, Infinity] + 
     22400*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -2, -1, 2, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/5040 - (6087*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (115959*S[2, Infinity]^4)/56000 + 
   ((-27897*S[-1, Infinity]^2)/1792 + (3739*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((14477*S[-1, Infinity]^3)/384 + 
     (671*S[-1, Infinity]*S[2, Infinity])/56 - (1735*S[3, Infinity])/1024)*
    S[5, Infinity] - (1436307*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/32 - 
     (11*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((33*S[-1, Infinity]^5)/64 - 
     (123*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (73743*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/30 - 
     (253*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (223*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (2923*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((2077*S[-1, Infinity]^2)/128 + (20613*S[2, Infinity])/896)*
      S[5, Infinity] - (6375*S[7, Infinity])/112 - 
     (13*(5*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/24 + 
       (229*S[-1, Infinity]^2*S[2, Infinity])/32 + (141*S[2, Infinity]^2)/
        35 + 5*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(23*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   S[2, Infinity]*((-119*S[-1, Infinity]^6)/1440 + 55*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(755*S[-5, -1, Infinity] + 
      2016*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(232*S[-5, 1, 1, Infinity] - 
      195*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-873280*S[-7, -1, Infinity] - 133153*S[5, 3, Infinity] - 
     103680*S[-5, -1, -1, -1, Infinity] - 62720*S[-5, -1, 1, 1, Infinity] - 
     20480*S[-1, 1, 1, 1, Infinity]^2 + 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -2, -1, 2, 1, -1, Infinity] -> 
  (-51*S[-1, Infinity]^8)/4480 - (2117*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (9160923*S[2, Infinity]^4)/784000 + 
   ((-29947*S[-1, Infinity]^2)/1792 + (105057*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((5301*S[-1, Infinity]^3)/128 - 
     (89405*S[-1, Infinity]*S[2, Infinity])/896 - (346995*S[3, Infinity])/
      7168)*S[5, Infinity] - (1443849*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-2299*S[-1, Infinity]^4)/2240 + 
     (1227*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/240 + (3831*S[-5, -1, Infinity])/
      28 - (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((6157*S[-1, Infinity]^5)/6720 - 
     (1889*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (276611*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1233*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(2509*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-632*S[-5, 1, 1, Infinity] + 
      565*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*(S[-1, Infinity]^7/70 + 
     (211*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (3533*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (4945*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-5301*S[-1, Infinity]^2)/128 - (50453*S[2, Infinity])/896)*
      S[5, Infinity] + (625515*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/192 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/8 - (527*S[2, Infinity]^2)/112 + 
       (13*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-9*S[-1, Infinity]^5)/40 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity]) - (S[-1, Infinity]*(421*S[-5, -1, Infinity] + 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-673*S[-5, 1, 1, Infinity] + 524*S[5, -1, -1, Infinity] + 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*(6105280*S[-7, -1, Infinity] + 939109*S[5, 3, Infinity] + 
      638720*S[-5, -1, -1, -1, Infinity] + 526080*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, -2, -1, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/384 + (209*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (3695*S[2, Infinity]^4)/896 + ((-9*S[-1, Infinity]^2)/128 - 
     (41*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((3*S[-1, Infinity]*S[2, Infinity])/2 - (4459*S[3, Infinity])/512)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/960 + 
     (211*S[-1, 1, 1, 1, Infinity])/40) + S[2, Infinity]*
    (-S[-1, Infinity]^6/32 + S[-5, -1, Infinity] + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-2912*S[-7, -1, Infinity] - 935*S[5, 3, Infinity] + 
     128*S[-5, -1, -1, -1, Infinity] - 128*S[-5, -1, 1, 1, Infinity] + 
     384*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (1543*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (205*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (2153*S[2, Infinity]*S[5, Infinity])/896 - (192819*S[7, Infinity])/
      7168 - (41*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (41*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/192 + 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 + (4241*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/8) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/80 + (9*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 6*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/48 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (85*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2), S[1, -2, 1, -2, -1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (90957*S[2, Infinity]^4)/
    98000 + ((297*S[-1, Infinity]^2)/896 + (1689*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (6987*S[-1, Infinity]*S[2, Infinity])/896 - (5715*S[3, Infinity])/3584)*
    S[5, Infinity] + (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (27*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (3*(10160*S[-7, -1, Infinity] + 2609*S[5, 3, Infinity] + 
      3520*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity]))/
    4480 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/560 - 
     (33*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/2240 - (17*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (5547*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (659*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (445*S[2, Infinity]*S[5, Infinity])/224 + (2085*S[7, Infinity])/448 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (11*S[-5, 1, 1, Infinity] + 32*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 + 
       (43*S[-1, Infinity]^2*S[2, Infinity])/32 - (479*S[2, Infinity]^2)/
        448 - (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/80 + 
       (9*S[-1, 1, 1, 1, 1, Infinity])/2)), 
 S[1, -2, 1, -2, -1, 1, Infinity] -> 
  (1161*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (399099*S[2, Infinity]^4)/784000 + 
   ((1233*S[-1, Infinity]^2)/448 - (207*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-1085*S[-1, Infinity]^3)/128 + 
     (1611*S[-1, Infinity]*S[2, Infinity])/224 + (2043*S[3, Infinity])/112)*
    S[5, Infinity] + (35085*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (285*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (114*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (33*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 + (3*(273600*S[-7, -1, Infinity] + 54571*S[5, 3, Infinity] + 
      40960*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity]))/
    17920 + S[1, Infinity]*((145*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (785*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((1023*S[-1, Infinity]^2)/128 + (8959*S[2, Infinity])/896)*
      S[5, Infinity] - (26745*S[7, Infinity])/1792 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (5*(11*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (5*S[2, Infinity]^2)/56 - 
       (5*S[-1, 1, 1, 1, Infinity])/2)) + S[2, Infinity]^2*
    ((31*S[-1, Infinity]^4)/560 - (93*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/35 + 
     (6*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (3489*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, 1, -2, 1, -1, Infinity] -> 
  (123*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - (9*S[2, Infinity]^4)/3200 + 
   (69*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/560 - 
   (117*S[-1, Infinity]^2*S[3, Infinity]^2)/448 + 
   ((93*S[-1, Infinity]^3)/128 + (1149*S[-1, Infinity]*S[2, Infinity])/896)*
    S[5, Infinity] - (429*S[-1, Infinity]*S[7, Infinity])/224 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]*((3*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (69*S[2, Infinity]^2*S[3, Infinity])/560 + 
     (27*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-93*S[-1, Infinity]^2)/128 - (1149*S[2, Infinity])/896)*
      S[5, Infinity] + (1737*S[7, Infinity])/896 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (3*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/28) + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28, S[1, -2, 1, -2, 1, 1, Infinity] -> S[-1, Infinity]^8/1152 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/80 - S[2, Infinity]^4/640 + 
   (175*S[3, Infinity]*S[5, Infinity])/256 + S[2, Infinity]^2*
    ((7*S[-1, Infinity]^4)/240 + S[-1, 1, 1, 1, Infinity]/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[-1, 1, 1, 1, Infinity]^2/2 + S[2, Infinity]*(-S[-1, Infinity]^6/96 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     ((21*S[-1, Infinity]^2*S[2, Infinity])/32 + (21*S[2, Infinity]^2)/320)*
      S[3, Infinity] - (75*S[2, Infinity]*S[5, Infinity])/64 + 
     (3*S[7, Infinity])/128 + S[2, Infinity]*(-S[-1, Infinity]^5/20 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/960 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/8), S[1, -2, 1, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/128 - (771*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1045341*S[2, Infinity]^4)/784000 + 
   ((-2955*S[-1, Infinity]^2)/896 - (3411*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 + 
     (3513*S[-1, Infinity]*S[2, Infinity])/448 - (53757*S[3, Infinity])/7168)*
    S[5, Infinity] + (79785*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]*(10*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-337*S[-1, Infinity]^4)/2240 - 
     (879*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/32 + (195*S[-5, -1, Infinity])/56 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) - 
   (3*(-94400*S[-7, -1, Infinity] - 22217*S[5, 3, Infinity] - 
      32000*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2))/35840 + 
   S[1, Infinity]*((-9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (2137*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (565*S[-1, Infinity]*S[3, Infinity]^2)/896 - 
     (3995*S[2, Infinity]*S[5, Infinity])/448 + (138897*S[7, Infinity])/
      7168 + (53*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (85*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/192 - 
       (127*S[-1, Infinity]^2*S[2, Infinity])/32 - (331*S[2, Infinity]^2)/
        280 - S[-1, 1, 1, 1, Infinity]/8) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/16 - (9*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2)) + S[3, Infinity]*((281*S[-1, Infinity]^5)/1120 - 
     (183*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (7131*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -2, 1, 2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 + (603*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (549057*S[2, Infinity]^4)/392000 + 
   ((-243*S[-1, Infinity]^2)/896 - (1275*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 + 
     (5835*S[-1, Infinity]*S[2, Infinity])/896 + (13473*S[3, Infinity])/3584)*
    S[5, Infinity] - (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-561*S[-1, Infinity]^4)/2240 + 
     (1053*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 + (111*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) - 
   (3*(-23680*S[-7, -1, Infinity] - 9859*S[5, 3, Infinity] - 
      11520*S[-5, -1, -1, -1, Infinity] + 7040*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2))/17920 + 
   S[1, Infinity]*((-9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (1163*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (575*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((93*S[-1, Infinity]^2)/128 - (12469*S[2, Infinity])/896)*
      S[5, Infinity] + (109341*S[7, Infinity])/3584 + 
     (115*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (115*S[-5, 1, 1, Infinity] + 94*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((43*S[-1, Infinity]^4)/192 - 
       (169*S[-1, Infinity]^2*S[2, Infinity])/32 - (25*S[2, Infinity]^2)/7 - 
       (43*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/16 - (9*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2)) + S[3, Infinity]*((11*S[-1, Infinity]^5)/560 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5403*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, -2, 1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (3*S[-1, Infinity]^4*S[2, Infinity]^2)/32 - 
   (1089*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (471*S[2, Infinity]^4)/4000 + ((-27*S[-1, Infinity]^2)/128 + 
     (429*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((341*S[-1, Infinity]^3)/128 - (339*S[-1, Infinity]*S[2, Infinity])/32 - 
     (2199*S[3, Infinity])/256)*S[5, Infinity] + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 + (51*S[-5, -1, Infinity])/8 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) - 
   (3*(9440*S[-7, -1, Infinity] + 2609*S[5, 3, Infinity] + 
      1920*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2))/1280 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/160 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (1593*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (207*S[2, Infinity]^2*S[3, Infinity])/280 + 
     (135*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-1023*S[-1, Infinity]^2)/128 - (2085*S[2, Infinity])/896)*
      S[5, Infinity] + (65271*S[7, Infinity])/3584 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (9*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/14 + 
     S[2, Infinity]*((9*S[-1, Infinity]^5)/80 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       9*S[-1, 1, 1, 1, 1, Infinity])), S[1, -2, 1, 2, 1, 1, Infinity] -> 
  (159*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (35561*S[2, Infinity]^4)/156800 + 
   ((265*S[-1, Infinity]^2)/112 - (7309*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/64 - 
     (3887*S[-1, Infinity]*S[2, Infinity])/896 + (56957*S[3, Infinity])/7168)*
    S[5, Infinity] + (235407*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (781*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]*((53*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (729*S[2, Infinity]^2*S[3, Infinity])/2240 - 
     (477*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     (4171*S[2, Infinity]*S[5, Infinity])/448 - (104865*S[7, Infinity])/
      7168 - (53*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity])/28) - 
   (S[-1, Infinity]*(106*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity]))/
    28 + (272704*S[-7, -1, Infinity] + 48957*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 27136*S[-5, -1, 1, 1, Infinity])/
    7168 + S[2, Infinity]^2*((53*S[-1, Infinity]^4)/1680 - 
     (53*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-53*S[-1, Infinity]^5)/840 + (53*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (3569*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (53*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[1, 2, -1, -2, -1, -1, Infinity] -> (-293*S[-1, Infinity]^8)/40320 - 
   (1097*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (4988231*S[2, Infinity]^4)/392000 + 
   ((-579*S[-1, Infinity]^2)/448 + (10149*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1457*S[-1, Infinity]^3)/192 - 
     (45289*S[-1, Infinity]*S[2, Infinity])/896 - (104395*S[3, Infinity])/
      3584)*S[5, Infinity] - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    8 + S[2, Infinity]^2*((-2603*S[-1, Infinity]^4)/6720 + 
     (3093*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((131*S[-1, Infinity]^5)/840 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (61443*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (376*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1529*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^2*(43*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(S[-1, Infinity]^7/21 + 
     (373*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (1759*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (2985*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-3875*S[-1, Infinity]^2)/64 - (22269*S[2, Infinity])/224)*
      S[5, Infinity] + (865281*S[7, Infinity])/3584 - 
     (597*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (5053*S[2, Infinity]^2)/560 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/5 - 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-597*S[-5, 1, 1, Infinity] + 824*S[5, -1, -1, Infinity] + 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1310720*S[-7, -1, Infinity] - 185611*S[5, 3, Infinity] - 
     92480*S[-5, -1, -1, -1, Infinity] - 151680*S[-5, -1, 1, 1, Infinity] + 
     20160*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 2, -1, -2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/420 + (431*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (4771897*S[2, Infinity]^4)/784000 + 
   ((10551*S[-1, Infinity]^2)/896 - (28159*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-12431*S[-1, Infinity]^3)/384 - 
     (61*S[-1, Infinity]*S[2, Infinity])/448 - (84577*S[3, Infinity])/7168)*
    S[5, Infinity] + (726561*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-359*S[-1, Infinity]^4)/3360 + 
     (849*S[-1, 1, 1, 1, Infinity])/140) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-433*S[-1, Infinity]^5)/840 + 
     (817*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (70227*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (77*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (769*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/30 + 
     (583*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (97*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (8175*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-2635*S[-1, Infinity]^2)/128 - (16255*S[2, Infinity])/448)*
      S[5, Infinity] + (4335*S[7, Infinity])/112 + 
     (-9*S[-5, 1, 1, Infinity] + 124*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (75*S[-1, Infinity]^2*S[2, Infinity])/32 - (503*S[2, Infinity]^2)/
        280 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-77*S[-1, Infinity]^5)/240 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (23*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(191*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-677*S[-5, -1, Infinity] - 
      2016*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-91*S[-1, Infinity]^6)/1440 + 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-223*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (3*S[-1, Infinity]*(193*S[-5, 1, 1, Infinity] - 
      192*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (5218240*S[-7, -1, Infinity] + 874387*S[5, 3, Infinity] + 
     871680*S[-5, -1, -1, -1, Infinity] + 78080*S[-5, -1, 1, 1, Infinity] + 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, -1, -2, 1, -1, Infinity] -> 
  (223*S[-1, Infinity]^8)/13440 + (4139*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (9043323*S[2, Infinity]^4)/784000 + 
   ((16705*S[-1, Infinity]^2)/896 - (105057*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5487*S[-1, Infinity]^3)/128 + 
     (86449*S[-1, Infinity]*S[2, Infinity])/896 + (366399*S[3, Infinity])/
      7168)*S[5, Infinity] + (361395*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((433*S[-1, Infinity]^4)/560 - 
     (393*S[-1, 1, 1, 1, Infinity])/140) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/240 - (3831*S[-5, -1, Infinity])/
      28 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-607*S[-1, Infinity]^5)/560 + 
     (115*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (289101*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5079*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-2489*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/70 - 
     (61*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (3769*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (18883*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((5487*S[-1, Infinity]^2)/128 + (58463*S[2, Infinity])/896)*
      S[5, Infinity] - (1452345*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (71*S[-1, Infinity]^2*S[2, Infinity])/32 + (815*S[2, Infinity]^2)/
        112 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-9*S[-1, Infinity]^5)/80 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - (9*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-73*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (586*S[-5, 1, 1, Infinity] - 653*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(643*S[-5, 1, 1, Infinity] - 596*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(6105280*S[-7, -1, Infinity] + 939109*S[5, 3, Infinity] + 
      638720*S[-5, -1, -1, -1, Infinity] + 526080*S[-5, -1, 1, 1, Infinity] + 
      89600*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, 2, -1, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/384 - (73*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (17803*S[2, Infinity]^4)/4480 + ((107*S[-1, Infinity]^2)/128 + 
     (139*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-3*S[-1, Infinity]*S[2, Infinity])/2 + (2513*S[3, Infinity])/256)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((119*S[-1, Infinity]^4)/480 - 
     (37*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 - S[-5, -1, Infinity] + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (2912*S[-7, -1, Infinity] + 935*S[5, 3, Infinity] - 
     128*S[-5, -1, -1, -1, Infinity] + 128*S[-5, -1, 1, 1, Infinity] + 
     384*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (2229*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (285*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (2679*S[2, Infinity]*S[5, Infinity])/448 - (6765*S[7, Infinity])/7168 - 
     (57*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (57*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((-25*S[-1, Infinity]^4)/96 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/8 + (289*S[2, Infinity]^2)/
        2240 + (25*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/16 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/160 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (433*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]), S[1, 2, -1, 2, -1, -1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1120 + (7649*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (8679779*S[2, Infinity]^4)/392000 + 
   ((4497*S[-1, Infinity]^2)/224 - (7061*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-9083*S[-1, Infinity]^3)/192 + 
     (19123*S[-1, Infinity]*S[2, Infinity])/224 + (15857*S[3, Infinity])/224)*
    S[5, Infinity] + (1637331*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((419*S[-1, Infinity]^4)/840 - 
     (489*S[-1, 1, 1, 1, Infinity])/35) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-5857*S[-1, Infinity]^5)/6720 + 
     (4163*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (8429*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (754*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 - (1286*S[-5, -1, Infinity])/7 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-1219*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-4*S[-1, Infinity]^7)/63 - 
     (151*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (15*S[-1, Infinity]*S[2, Infinity]^3)/28 - 
     (3631*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((527*S[-1, Infinity]^2)/8 + (30437*S[2, Infinity])/224)*
      S[5, Infinity] - (135487*S[7, Infinity])/448 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - S[-1, Infinity]^2*S[2, Infinity] + 
       (327*S[2, Infinity]^2)/35 - 4*S[-1, 1, 1, 1, Infinity]) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/30 - 8*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 24*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-221*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (4*(53*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(678*S[-5, 1, 1, Infinity] - 785*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (5320640*S[-7, -1, Infinity] + 787463*S[5, 3, Infinity] + 
     476160*S[-5, -1, -1, -1, Infinity] + 563200*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 2508800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 2, -1, 2, -1, 1, Infinity] -> 
  (1139*S[-1, Infinity]^8)/40320 + (351*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (883513*S[2, Infinity]^4)/392000 + 
   ((-1515*S[-1, Infinity]^2)/448 - (3971*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1271*S[-1, Infinity]^3)/384 + 
     (29633*S[-1, Infinity]*S[2, Infinity])/896 + (88143*S[3, Infinity])/
      3584)*S[5, Infinity] - (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((223*S[-1, Infinity]^4)/1344 - 
     (41*S[-1, 1, 1, 1, Infinity])/56) - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/140 - 
     (313*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (20929*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (179*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/360 - (23*S[-5, -1, Infinity])/
      28 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/630 - 
     (191*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (2971*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (425*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((1953*S[-1, Infinity]^2)/128 + (25915*S[2, Infinity])/896)*
      S[5, Infinity] - (530461*S[7, Infinity])/7168 + 
     (85*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/24 - 
       (43*S[-1, Infinity]^2*S[2, Infinity])/16 + (8081*S[2, Infinity]^2)/
        2240 + 5*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((17*S[-1, Infinity]^5)/60 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity]) + (170*S[-5, 1, 1, Infinity] - 
       271*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (832960*S[-7, -1, Infinity] + 153637*S[5, 3, Infinity] + 
     138240*S[-5, -1, -1, -1, Infinity] - 21760*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, -1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/630 - (583*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (791739*S[2, Infinity]^4)/156800 + 
   ((-549*S[-1, Infinity]^2)/112 + (1097*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((1271*S[-1, Infinity]^3)/128 - 
     (255*S[-1, Infinity]*S[2, Infinity])/7 + (22193*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((137*S[-1, Infinity]^4)/3360 + 
     (73*S[-1, 1, 1, 1, Infinity])/140) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((513*S[-1, Infinity]^5)/1120 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (8517*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (201*S[-1, 1, 1, 1, 1, Infinity])/7) + 8*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-3*S[-1, Infinity]^6)/160 + (5*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + (2057*S[-5, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/630 - 
     (127*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (561*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (365*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-4433*S[-1, Infinity]^2)/128 - (49279*S[2, Infinity])/896)*
      S[5, Infinity] + (509995*S[7, Infinity])/3584 - 
     (73*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 - 
       (119*S[-1, Infinity]^2*S[2, Infinity])/32 - (11323*S[2, Infinity]^2)/
        2240 + (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/24 - 7*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-146*S[-5, 1, 1, Infinity] + 211*S[5, -1, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-692864*S[-7, -1, Infinity] - 84051*S[5, 3, Infinity] - 
     43520*S[-5, -1, -1, -1, Infinity] - 80128*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2 + 430080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, 2, -1, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/4032 + (439*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (1017531*S[2, Infinity]^4)/156800 + 
   ((10613*S[-1, Infinity]^2)/896 - (4731*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-713*S[-1, Infinity]^3)/32 - 
     (26787*S[-1, Infinity]*S[2, Infinity])/896 - (13081*S[3, Infinity])/
      1792)*S[5, Infinity] + (1227195*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((197*S[-1, Infinity]^4)/1120 - 
     (1081*S[-1, 1, 1, 1, Infinity])/140) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-1937*S[-1, Infinity]^5)/6720 + 
     (1727*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (13009*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (353*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-55*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2057*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/63 - 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (883*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1579*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-155*S[-1, Infinity]^2)/64 + (11849*S[2, Infinity])/896)*
      S[5, Infinity] - (207205*S[7, Infinity])/7168 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/64 - 
       (99*S[-1, Infinity]^2*S[2, Infinity])/32 - (943*S[2, Infinity]^2)/
        560 - (57*S[-1, 1, 1, 1, Infinity])/8) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/48 - 
       (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       14*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(23*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (206*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity] - 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(498*S[-5, 1, 1, Infinity] - 433*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (692864*S[-7, -1, Infinity] + 84051*S[5, 3, Infinity] + 
     43520*S[-5, -1, -1, -1, Infinity] + 80128*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 430080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, 2, 1, -2, -1, -1, Infinity] -> 
  (1093*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (580581*S[2, Infinity]^4)/784000 + 
   ((-1889*S[-1, Infinity]^2)/448 - (4653*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/32 + 
     (5069*S[-1, Infinity]*S[2, Infinity])/224 - (1917*S[3, Infinity])/896)*
    S[5, Infinity] + (23745*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (219*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   (5*S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]))/
    28 + (3*(24000*S[-7, -1, Infinity] + 8129*S[5, 3, Infinity] + 
      9920*S[-5, -1, -1, -1, Infinity] - 4320*S[-5, -1, 1, 1, Infinity]))/
    4480 + S[2, Infinity]^2*((197*S[-1, Infinity]^4)/1120 - 
     (591*S[-1, 1, 1, 1, Infinity])/140) + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (181*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1441*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (2603*S[2, Infinity]*S[5, Infinity])/224 - (249357*S[7, Infinity])/
      7168 - (25*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (155*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/3 + 
       (43*S[-1, Infinity]^2*S[2, Infinity])/32 + (251*S[2, Infinity]^2)/56 + 
       8*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/80 - (9*S[-1, 1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/2240 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1317*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (177*S[-1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 2, 1, -2, -1, 1, Infinity] -> (731*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (456371*S[2, Infinity]^4)/784000 + 
   ((-477*S[-1, Infinity]^2)/1792 - (3853*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/128 + 
     (8343*S[-1, Infinity]*S[2, Infinity])/896 + (4411*S[3, Infinity])/7168)*
    S[5, Infinity] - (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (313*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   (685760*S[-7, -1, Infinity] - 421*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((181*S[-1, Infinity]^4)/840 - 
     (181*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    ((353*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((465*S[-1, Infinity]^2)/128 + (13735*S[2, Infinity])/896)*
      S[5, Infinity] - (201867*S[7, Infinity])/7168 - 
     (10*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (5*(8*S[-5, 1, 1, Infinity] + 29*S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/3 + 
       (85*S[-1, Infinity]^2*S[2, Infinity])/32 + (10349*S[2, Infinity]^2)/
        2240 + 8*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/420 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (5167*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 1, -2, 1, -1, Infinity] -> 
  (-2903*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (49673*S[2, Infinity]^4)/156800 + ((-387*S[-1, Infinity]^2)/1792 + 
     (7309*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/128 - (3651*S[-1, Infinity]*S[2, Infinity])/224 - 
     (56957*S[3, Infinity])/7168)*S[5, Infinity] + 
   (251*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (781*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]*((-927*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-21*S[-1, Infinity]^2*S[2, Infinity])/32 - (1803*S[2, Infinity]^2)/
        2240)*S[3, Infinity] + (135*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-651*S[-1, Infinity]^2)/128 - (7545*S[2, Infinity])/896)*
      S[5, Infinity] + (49269*S[7, Infinity])/3584 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (9*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/14) + 
   (-272704*S[-7, -1, Infinity] - 48957*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 27136*S[-5, -1, 1, 1, Infinity])/
    7168 + S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/1680 + 
     (53*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((53*S[-1, Infinity]^5)/840 - (53*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (22321*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (53*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 1, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (39*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (369*S[2, Infinity]^4)/4000 + ((-19*S[-1, Infinity]^2)/64 - 
     (429*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/64 - (543*S[-1, Infinity]*S[2, Infinity])/128 + 
     (85*S[3, Infinity])/32)*S[5, Infinity] + 
   (3627*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/4 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/80 - (51*S[-1, 1, 1, 1, Infinity])/
      20) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - (51*S[-5, -1, Infinity])/8 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) - 
   (3*(-9440*S[-7, -1, Infinity] - 2609*S[5, 3, Infinity] - 
      1920*S[-5, -1, -1, -1, Infinity] - 320*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2))/1280 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/192 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (123*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/8) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (443*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (3399*S[2, Infinity]*S[5, Infinity])/448 - (52287*S[7, Infinity])/3584 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (3*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 + (611*S[2, Infinity]^2)/448 + 
       (7*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/20 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 + (3*S[-1, 1, 1, 1, 1, Infinity])/2)), 
 S[1, 2, 1, 2, -1, -1, Infinity] -> S[-1, Infinity]^8/384 - 
   (3779*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (480601*S[2, Infinity]^4)/784000 + 
   ((739*S[-1, Infinity]^2)/448 + (2987*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 - 
     (20151*S[-1, Infinity]*S[2, Infinity])/896 - (9305*S[3, Infinity])/896)*
    S[5, Infinity] + (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((121*S[-1, Infinity]^4)/6720 + 
     (509*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + (173*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-553600*S[-7, -1, Infinity] - 115723*S[5, 3, Infinity] - 
     112640*S[-5, -1, -1, -1, Infinity] - 21760*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (937*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 - 
     (317*S[2, Infinity]*S[5, Infinity])/224 + (2283*S[7, Infinity])/7168 - 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-58*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/192 + 
       (83*S[-1, Infinity]^2*S[2, Infinity])/32 + (191*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/8) + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/16 + (9*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2)) + S[3, Infinity]*((17*S[-1, Infinity]^5)/840 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (5191*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 1, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/128 + (927*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (158511*S[2, Infinity]^4)/784000 + 
   ((12499*S[-1, Infinity]^2)/1792 - (1415*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-961*S[-1, Infinity]^3)/128 - 
     (873*S[-1, Infinity]*S[2, Infinity])/448 + (77271*S[3, Infinity])/3584)*
    S[5, Infinity] - (6537*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (201*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/4 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/2240 + 
     (2019*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/32 - (120*S[-5, -1, Infinity])/7 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (3*(74560*S[-7, -1, Infinity] + 11233*S[5, 3, Infinity] - 
      3200*S[-5, -1, -1, -1, Infinity] + 21120*S[-5, -1, 1, 1, Infinity] + 
      13440*S[-1, 1, 1, 1, Infinity]^2))/8960 + 
   S[1, Infinity]*((9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (1217*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (3497*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((651*S[-1, Infinity]^2)/128 - (2003*S[2, Infinity])/896)*
      S[5, Infinity] + (24021*S[7, Infinity])/3584 + 
     (47*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((43*S[-1, Infinity]^4)/192 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/16 - (829*S[2, Infinity]^2)/
        280 - (43*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/16 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((-377*S[-1, Infinity]^5)/1120 + 
     (279*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (22587*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (99*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 1, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/128 + (4269*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (54*S[2, Infinity]^4)/25 + (2357*S[-1, Infinity]^2*S[3, Infinity]^2)/
    1792 + ((465*S[-1, Infinity]^3)/128 + 
     (11667*S[-1, Infinity]*S[2, Infinity])/896 + (21*S[3, Infinity])/4)*
    S[5, Infinity] - (146487*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (141*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    28 - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[2, Infinity]^2*
    ((-3*S[-1, Infinity]^4)/160 + (36*S[-1, 1, 1, 1, Infinity])/5) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/32 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (411*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (1637*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-465*S[-1, Infinity]^2)/128 - (19731*S[2, Infinity])/896)*
      S[5, Infinity] + (167991*S[7, Infinity])/7168 + 
     (123*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/32 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 - (1773*S[2, Infinity]^2)/
        560 - (21*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-9*S[-1, Infinity]^5)/80 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       9*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-21*S[-1, Infinity]^5)/80 + (7*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (3537*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4), S[1, 2, 1, 2, 1, 1, Infinity] -> 
  (-18*S[2, Infinity]^4)/25 + 3*S[1, Infinity]*S[7, Infinity], 
 S[1, -2, -1, -1, -2, -1, Infinity] -> (71*S[-1, Infinity]^8)/5040 + 
   (25243*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (28180701*S[2, Infinity]^4)/784000 + 
   ((2295*S[-1, Infinity]^2)/64 - (257801*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-3379*S[-1, Infinity]^3)/32 + 
     (25927*S[-1, Infinity]*S[2, Infinity])/128 + (1487315*S[3, Infinity])/
      7168)*S[5, Infinity] + (1709825*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1509*S[-1, Infinity]^4)/1120 - 
     (2847*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-12697*S[-1, Infinity]^5)/6720 + 
     (471*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (85849*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (6261*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/60 - (9607*S[-5, -1, Infinity])/
      28 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-779*S[-5, -1, Infinity] - 
      192*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/35 - 
     (91*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (159*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (41261*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((217*S[-1, Infinity]^2)/2 + (5973*S[2, Infinity])/28)*S[5, Infinity] - 
     (30223*S[7, Infinity])/56 + S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (151*S[-1, Infinity]^2*S[2, Infinity])/16 + (6177*S[2, Infinity]^2)/
        280 + (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/20 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 
     (6*S[-1, Infinity]*(17*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (4*(71*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(633*S[-5, 1, 1, Infinity] - 893*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (41479360*S[-7, -1, Infinity] + 6807419*S[5, 3, Infinity] + 
     4670720*S[-5, -1, -1, -1, Infinity] + 
     3984640*S[-5, -1, 1, 1, Infinity] + 143360*S[-1, 1, 1, 1, Infinity]^2 - 
     17203200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, -1, -1, -2, 1, Infinity] -> (7*S[-1, Infinity]^8)/1152 + 
   (1839*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (101957*S[2, Infinity]^4)/392000 + 
   ((663*S[-1, Infinity]^2)/896 - (41*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((12*S[-1, Infinity]*S[2, Infinity])/7 + (17585*S[3, Infinity])/1792)*
    S[5, Infinity] - (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((247*S[-1, Infinity]^4)/1344 + 
     (47*S[-1, 1, 1, 1, Infinity])/56) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/96 + (8*S[-5, -1, Infinity])/7 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-270400*S[-7, -1, Infinity] - 22703*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     62720*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (221*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (1865*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((93*S[-1, Infinity]^2)/32 + (18079*S[2, Infinity])/896)*
      S[5, Infinity] - (224447*S[7, Infinity])/3584 - 
     (65*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-65*S[-5, 1, 1, Infinity] - 107*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (113*S[-1, Infinity]^2*S[2, Infinity])/32 + (1667*S[2, Infinity]^2)/
        280 + (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/16 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (15*S[-1, 1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((-229*S[-1, Infinity]^5)/1680 + 
     (141*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (8783*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (741*S[-1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -2, -1, -1, 2, -1, Infinity] -> (-37*S[-1, Infinity]^8)/1680 - 
   (8353*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1995299*S[2, Infinity]^4)/196000 + 
   ((81*S[-1, Infinity]^2)/112 + (14167*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (79001*S[-1, Infinity]*S[2, Infinity])/896 - (341083*S[3, Infinity])/
      7168)*S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-149*S[-1, Infinity]^4)/280 + 
     (167*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((701*S[-1, Infinity]^5)/1344 - (359*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (161981*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3435*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/180 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3065*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(1565*S[-5, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/21 + 
     (313*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (163*S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     (5087*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-3379*S[-1, Infinity]^2)/64 - (40559*S[2, Infinity])/448)*
      S[5, Infinity] + (28233*S[7, Infinity])/112 - 
     (247*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (79*S[-1, Infinity]^2*S[2, Infinity])/16 - (12393*S[2, Infinity]^2)/
        1120 - (5*S[-1, 1, 1, 1, Infinity])/2) - 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/20 - 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + (-247*S[-5, 1, 1, Infinity] + 
       460*S[5, -1, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (-11406400*S[-7, -1, Infinity] - 1716329*S[5, 3, Infinity] - 
     1071360*S[-5, -1, -1, -1, Infinity] - 
     1168640*S[-5, -1, 1, 1, Infinity] - 143360*S[-1, 1, 1, 1, Infinity]^2 + 
     5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, -1, -1, 2, 1, Infinity] -> (-13*S[-1, Infinity]^8)/1344 + 
   (14351*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (6725941*S[2, Infinity]^4)/392000 + 
   ((27093*S[-1, Infinity]^2)/896 - (20935*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-9145*S[-1, Infinity]^3)/96 + 
     (39329*S[-1, Infinity]*S[2, Infinity])/448 + (790325*S[3, Infinity])/
      7168)*S[5, Infinity] + (3313391*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((2173*S[-1, Infinity]^4)/6720 - 
     (3713*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-6887*S[-1, Infinity]^5)/6720 + 
     (2305*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (355097*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (6957*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/144 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(513*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-3371*S[-5, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/105 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (2003*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (4219*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((2883*S[-1, Infinity]^2)/64 + (9529*S[2, Infinity])/112)*
      S[5, Infinity] - (1506479*S[7, Infinity])/7168 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - S[-1, Infinity]^2*
        S[2, Infinity] + (12949*S[2, Infinity]^2)/2240 - 
       (5*S[-1, 1, 1, 1, Infinity])/2) - 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-17*S[-1, Infinity]^5)/240 - (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(73*S[-5, -1, Infinity] - 
        1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (655*S[-5, 1, 1, Infinity] - 759*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(1149*S[-5, 1, 1, Infinity] - 
      1679*S[5, -1, -1, Infinity] - 5376*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (27112000*S[-7, -1, Infinity] + 4524943*S[5, 3, Infinity] + 
     3237120*S[-5, -1, -1, -1, Infinity] + 
     2318080*S[-5, -1, 1, 1, Infinity] - 35840*S[-1, 1, 1, 1, Infinity]^2 - 
     11468800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, -1, 1, -2, -1, Infinity] -> (-269*S[-1, Infinity]^8)/40320 - 
   (1907*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (796553*S[2, Infinity]^4)/196000 + 
   ((825*S[-1, Infinity]^2)/1792 + (43481*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 - 
     (1051*S[-1, Infinity]*S[2, Infinity])/14 - (271949*S[3, Infinity])/7168)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-563*S[-1, Infinity]^4)/1344 + 
     (213*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((529*S[-1, Infinity]^5)/1680 - (529*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (129919*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (529*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3761*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(593*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/42 + 
     (673*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (2169*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (1055*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-4309*S[-1, Infinity]^2)/128 - (20465*S[2, Infinity])/448)*
      S[5, Infinity] + (229273*S[7, Infinity])/1792 - 
     (211*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/192 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (11133*S[2, Infinity]^2)/
        2240 + (5*S[-1, 1, 1, 1, Infinity])/8) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/4 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-211*S[-5, 1, 1, Infinity] + 258*S[5, -1, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-7472320*S[-7, -1, Infinity] - 1257103*S[5, 3, Infinity] - 
     917760*S[-5, -1, -1, -1, Infinity] - 659200*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, -1, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/252 + (927*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (3696379*S[2, Infinity]^4)/392000 + 
   ((1251*S[-1, Infinity]^2)/64 - (12125*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-11191*S[-1, Infinity]^3)/192 + 
     (6737*S[-1, Infinity]*S[2, Infinity])/128 + (275099*S[3, Infinity])/
      3584)*S[5, Infinity] + (447157*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((577*S[-1, Infinity]^4)/2240 - 
     (2291*S[-1, 1, 1, 1, Infinity])/280) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-4463*S[-1, Infinity]^5)/6720 + 
     (4463*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (15239*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (4463*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(2575*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(-149*S[-5, -1, Infinity] - 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (587*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (1945*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((3255*S[-1, Infinity]^2)/128 + (45095*S[2, Infinity])/896)*
      S[5, Infinity] - (54471*S[7, Infinity])/448 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/192 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (2263*S[2, Infinity]^2)/448 + 
       (5*S[-1, 1, 1, 1, Infinity])/8) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/15 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(25*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (155*S[-5, 1, 1, Infinity] - 230*S[5, -1, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(183*S[-5, 1, 1, Infinity] - 244*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (7956160*S[-7, -1, Infinity] + 1321111*S[5, 3, Infinity] + 
     944640*S[-5, -1, -1, -1, Infinity] + 739840*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -2, -1, 1, 2, -1, Infinity] -> (-127*S[-1, Infinity]^8)/13440 + 
   (16423*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (12424127*S[2, Infinity]^4)/784000 + 
   ((11371*S[-1, Infinity]^2)/896 - (148639*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1643*S[-1, Infinity]^3)/32 + 
     (124599*S[-1, Infinity]*S[2, Infinity])/896 + (769837*S[3, Infinity])/
      7168)*S[5, Infinity] + (1787383*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((769*S[-1, Infinity]^4)/1344 - 
     (895*S[-1, 1, 1, 1, Infinity])/56) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-689*S[-1, Infinity]^5)/1120 + 
     (2459*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (64809*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (3047*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/480 - (2437*S[-5, -1, Infinity])/
      14 - (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (12*S[-1, Infinity]^2*(-33*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/70 - 
     (361*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (6763*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (24989*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((3379*S[-1, Infinity]^2)/64 + (9109*S[2, Infinity])/112)*
      S[5, Infinity] - (1546925*S[7, Infinity])/7168 + 
     S[3, Infinity]*((23*S[-1, Infinity]^4)/192 - 
       (155*S[-1, Infinity]^2*S[2, Infinity])/32 + (1437*S[2, Infinity]^2)/
        224 - (23*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((43*S[-1, Infinity]^5)/80 - 
       (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-275*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (767*S[-5, 1, 1, Infinity] - 759*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(601*S[-5, 1, 1, Infinity] - 883*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (22316480*S[-7, -1, Infinity] + 3827413*S[5, 3, Infinity] + 
     2794240*S[-5, -1, -1, -1, Infinity] + 
     1936640*S[-5, -1, 1, 1, Infinity] - 268800*S[-1, 1, 1, 1, Infinity]^2 - 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, -1, 1, 2, 1, Infinity] -> -S[-1, Infinity]^8/384 + 
   (1053*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (881169*S[2, Infinity]^4)/784000 + 
   ((-513*S[-1, Infinity]^2)/1792 - (2337*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((171*S[-1, Infinity]*S[2, Infinity])/28 + 
     (75021*S[3, Infinity])/7168)*S[5, Infinity] - 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-661*S[-1, Infinity]^4)/2240 + 
     (1353*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 + (57*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-185280*S[-7, -1, Infinity] + 112439*S[5, 3, Infinity] + 
     72960*S[-5, -1, -1, -1, Infinity] - 72960*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/672 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (4787*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (1019*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (415*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((93*S[-1, Infinity]^2)/64 - (11131*S[2, Infinity])/896)*
      S[5, Infinity] + (120229*S[7, Infinity])/3584 + 
     (83*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (83*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((79*S[-1, Infinity]^4)/192 - 
       (37*S[-1, Infinity]^2*S[2, Infinity])/8 - (12113*S[2, Infinity]^2)/
        2240 - (79*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/80 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       3*S[-1, 1, 1, 1, 1, Infinity])), S[1, -2, 1, -1, -2, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/2520 + (189*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (2229537*S[2, Infinity]^4)/784000 + 
   ((-537*S[-1, Infinity]^2)/1792 - (34553*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/192 + 
     (56359*S[-1, Infinity]*S[2, Infinity])/896 + (152451*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((269*S[-1, Infinity]^4)/672 - 
     (73*S[-1, 1, 1, 1, Infinity])/28) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-421*S[-1, Infinity]^5)/1680 + 
     (421*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (101281*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (421*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-479*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/144 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2993*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/42 - 
     (583*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1361*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (775*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((3565*S[-1, Infinity]^2)/128 + (35813*S[2, Infinity])/896)*
      S[5, Infinity] - (54471*S[7, Infinity])/448 + 
     (155*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 + (2515*S[2, Infinity]^2)/
        448 + (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/16 - 
       (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (155*S[-5, 1, 1, Infinity] - 
       230*S[5, -1, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (6322880*S[-7, -1, Infinity] + 996193*S[5, 3, Infinity] + 
     733440*S[-5, -1, -1, -1, Infinity] + 520960*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, 1, -1, -2, 1, Infinity] -> S[-1, Infinity]^8/252 - 
   (1833*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1893623*S[2, Infinity]^4)/196000 + 
   ((-1251*S[-1, Infinity]^2)/64 + (12251*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((11191*S[-1, Infinity]^3)/192 - 
     (6737*S[-1, Infinity]*S[2, Infinity])/128 - (71433*S[3, Infinity])/896)*
    S[5, Infinity] - (447157*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-153*S[-1, Infinity]^4)/560 + 
     (599*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((4463*S[-1, Infinity]^5)/6720 - (4463*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (1933*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (4463*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(2547*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(149*S[-5, -1, Infinity] + 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-183*S[-5, 1, 1, Infinity] + 
      244*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + S[1, Infinity]*(-S[-1, Infinity]^7/105 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (289*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (2813*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-3999*S[-1, Infinity]^2)/128 - (50527*S[2, Infinity])/896)*
      S[5, Infinity] + (229273*S[7, Infinity])/1792 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 - (9873*S[2, Infinity]^2)/
        2240 + (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-47*S[-5, -1, Infinity] + 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-211*S[-5, 1, 1, Infinity] + 258*S[5, -1, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-7915840*S[-7, -1, Infinity] - 1329049*S[5, 3, Infinity] - 
     944640*S[-5, -1, -1, -1, Infinity] - 739840*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -2, 1, -1, 2, -1, Infinity] -> -S[-1, Infinity]^8/280 - 
   (969*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (13292387*S[2, Infinity]^4)/
    784000 + ((-2247*S[-1, Infinity]^2)/128 + (133537*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1643*S[-1, Infinity]^3)/32 - 
     (7351*S[-1, Infinity]*S[2, Infinity])/64 - (738287*S[3, Infinity])/7168)*
    S[5, Infinity] - (1682369*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2749*S[-1, Infinity]^4)/3360 + 
     (1489*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((3083*S[-1, Infinity]^5)/3360 - 
     (3083*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (44249*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (3083*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 + (1196*S[-5, -1, Infinity])/
      7 - (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(203*S[-5, -1, Infinity] + 
      48*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-615*S[-5, 1, 1, Infinity] + 
      869*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*(S[-1, Infinity]^7/70 - 
     (S[-1, Infinity]^5*S[2, Infinity])/10 + 
     (151*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (165*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (21475*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-3379*S[-1, Infinity]^2)/64 - (46635*S[2, Infinity])/448)*
      S[5, Infinity] + (119155*S[7, Infinity])/448 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (35*S[-1, Infinity]^2*S[2, Infinity])/8 - (12547*S[2, Infinity]^2)/
        1120 - (5*S[-1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]*(-83*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-275*S[-5, 1, 1, Infinity] + 488*S[5, -1, -1, Infinity] + 
       1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-21081920*S[-7, -1, Infinity] - 3499723*S[5, 3, Infinity] - 
     2448640*S[-5, -1, -1, -1, Infinity] - 
     1959680*S[-5, -1, 1, 1, Infinity] + 8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, 1, -1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (993*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (679527*S[2, Infinity]^4)/784000 + 
   ((513*S[-1, Infinity]^2)/1792 + (2337*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-171*S[-1, Infinity]*S[2, Infinity])/28 - 
     (31789*S[3, Infinity])/7168)*S[5, Infinity] + 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/224 - 
     (6*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - (57*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (239040*S[-7, -1, Infinity] - 17407*S[5, 3, Infinity] - 
     72960*S[-5, -1, -1, -1, Infinity] + 72960*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/420 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (2609*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (547*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (325*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-93*S[-1, Infinity]^2)/64 - (8315*S[2, Infinity])/896)*
      S[5, Infinity] + (224111*S[7, Infinity])/7168 + 
     (65*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (65*S[-5, 1, 1, Infinity] + 107*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (77*S[-1, Infinity]^2*S[2, Infinity])/32 - (5401*S[2, Infinity]^2)/
        2240 - (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/80 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       6*S[-1, 1, 1, 1, 1, Infinity])), S[1, -2, 1, 1, -2, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/576 + (15*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (43471*S[2, Infinity]^4)/49000 + ((163*S[-1, Infinity]^2)/896 + 
     (10863*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/32 - (1053*S[-1, Infinity]*S[2, Infinity])/112 - 
     (23949*S[3, Infinity])/7168)*S[5, Infinity] - 
   (73375*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (205*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-23*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity]))/
    14 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-719*S[-1, Infinity]^4)/6720 + 
     (1139*S[-1, 1, 1, 1, Infinity])/280) + 
   (-1172160*S[-7, -1, Infinity] - 246881*S[5, 3, Infinity] - 
     234240*S[-5, -1, -1, -1, Infinity] - 34560*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (297*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (2841*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-155*S[-1, Infinity]^2)/32 - (135*S[2, Infinity])/112)*
      S[5, Infinity] - (10639*S[7, Infinity])/3584 - 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (5*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/64 + 
       (93*S[-1, Infinity]^2*S[2, Infinity])/32 + (1457*S[2, Infinity]^2)/
        2240 + (9*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-1061*S[-1, Infinity]^5)/6720 + (79*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (2203*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/240 + (159*S[-5, -1, Infinity])/
      28 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[1, -2, 1, 1, -2, 1, Infinity] -> S[-1, Infinity]^8/288 - 
   (41*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (3217*S[2, Infinity]^4)/
    16000 + (35*S[-1, Infinity]^2*S[3, Infinity]^2)/128 - 
   (489*S[3, Infinity]*S[5, Infinity])/256 + S[2, Infinity]^2*
    ((101*S[-1, Infinity]^4)/480 - (41*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-581*S[5, 3, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (205*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     (69*S[2, Infinity]*S[5, Infinity])/8 - (6001*S[7, Infinity])/256 - 
     3*S[-1, Infinity]*S[-5, -1, Infinity] - 
     3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((-37*S[-1, Infinity]^4)/192 + 
       (29*S[-1, Infinity]^2*S[2, Infinity])/16 + (235*S[2, Infinity]^2)/64 + 
       (37*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (-S[-1, Infinity]^5/20 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - (3*S[-1, 1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (287*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/8), S[1, -2, 1, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 + (83*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (510121*S[2, Infinity]^4)/784000 + 
   ((109*S[-1, Infinity]^2)/224 - (725*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (3103*S[-1, Infinity]*S[2, Infinity])/448 - (2545*S[3, Infinity])/7168)*
    S[5, Infinity] - (159*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((313*S[-1, Infinity]^4)/1344 - 
     (61*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (417600*S[-7, -1, Infinity] + 114391*S[5, 3, Infinity] + 
     113920*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (629*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (601*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((155*S[-1, Infinity]^2)/32 - (1333*S[2, Infinity])/448)*
      S[5, Infinity] - (19923*S[7, Infinity])/7168 + 
     (65*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (5*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 - (373*S[2, Infinity]^2)/
        1120 - (5*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/40 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/448 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (12029*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (85*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 - (8*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[1, -2, 1, 1, 2, 1, Infinity] -> -S[-1, Infinity]^8/1152 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (99391*S[2, Infinity]^4)/
    196000 + ((-719*S[-1, Infinity]^2)/448 + (841*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/48 + 
     (541*S[-1, Infinity]*S[2, Infinity])/224 - (20621*S[3, Infinity])/7168)*
    S[5, Infinity] - (156361*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-67*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity]))/
    28 + S[1, Infinity]*((-17*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (61*S[-1, Infinity]*S[3, Infinity]^2)/448 - 
     (1079*S[2, Infinity]*S[5, Infinity])/112 + (68219*S[7, Infinity])/3584 + 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-S[-5, 1, 1, Infinity] + 34*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 - (3993*S[2, Infinity]^2)/
        2240 - (5*S[-1, 1, 1, 1, Infinity])/8)) + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/224 + 
     (3*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 + (239*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-873280*S[-7, -1, Infinity] - 134429*S[5, 3, Infinity] - 
     93440*S[-5, -1, -1, -1, Infinity] - 85760*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((373*S[-1, Infinity]^5)/6720 - 
     (115*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (11229*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (303*S[-1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 2, -1, -1, -2, -1, Infinity] -> (83*S[-1, Infinity]^8)/40320 + 
   (1287*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (9490347*S[2, Infinity]^4)/784000 + 
   ((-2041*S[-1, Infinity]^2)/896 - (29769*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (20333*S[-1, Infinity]*S[2, Infinity])/224 + (170181*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((2323*S[-1, Infinity]^4)/6720 - (3233*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-241*S[-1, Infinity]^5)/1680 + 
     (433*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (14061*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (731*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-793*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((121*S[-1, Infinity]^6)/1440 - 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3023*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/21 - 
     (86*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (9621*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (3275*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((3379*S[-1, Infinity]^2)/64 + (9529*S[2, Infinity])/112)*
      S[5, Infinity] - (1506479*S[7, Infinity])/7168 + 
     (655*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((23*S[-1, Infinity]^4)/192 - 
       (179*S[-1, Infinity]^2*S[2, Infinity])/32 + (1213*S[2, Infinity]^2)/
        224 - (23*S[-1, 1, 1, 1, Infinity])/8) + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((51*S[-1, Infinity]^5)/80 - (21*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
     (655*S[-5, 1, 1, Infinity] - 759*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5688640*S[-7, -1, Infinity] + 890389*S[5, 3, Infinity] + 
     549120*S[-5, -1, -1, -1, Infinity] + 570880*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, -1, -1, -2, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/2016 - (15849*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (422603*S[2, Infinity]^4)/24500 + 
   ((-29935*S[-1, Infinity]^2)/896 + (167529*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((9145*S[-1, Infinity]^3)/96 - 
     (39329*S[-1, Infinity]*S[2, Infinity])/448 - (857889*S[3, Infinity])/
      7168)*S[5, Infinity] - (3313391*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-241*S[-1, Infinity]^4)/448 + 
     (443*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((9197*S[-1, Infinity]^5)/6720 - (8413*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (376069*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (7237*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(513*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(3371*S[-5, -1, Infinity] + 
      2688*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-1149*S[-5, 1, 1, Infinity] + 
      1679*S[5, -1, -1, Infinity] + 5376*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*((-2*S[-1, Infinity]^7)/105 - 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (313*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (14111*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-2883*S[-1, Infinity]^2)/64 - (89245*S[2, Infinity])/896)*
      S[5, Infinity] + (28233*S[7, Infinity])/112 + 
     S[3, Infinity]*((23*S[-1, Infinity]^4)/192 - 
       (29*S[-1, Infinity]^2*S[2, Infinity])/8 - (4239*S[2, Infinity]^2)/
        448 - (23*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((77*S[-1, Infinity]^5)/240 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]/2) + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(39*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-247*S[-5, 1, 1, Infinity] + 460*S[5, -1, -1, Infinity] + 
       1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-27112000*S[-7, -1, Infinity] - 4583659*S[5, 3, Infinity] - 
     3237120*S[-5, -1, -1, -1, Infinity] - 
     2318080*S[-5, -1, 1, 1, Infinity] - 215040*S[-1, 1, 1, 1, Infinity]^2 + 
     11468800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 2, -1, -1, 2, -1, Infinity] -> (149*S[-1, Infinity]^8)/13440 - 
   (1383*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (6972433*S[2, Infinity]^4)/196000 + 
   ((-989*S[-1, Infinity]^2)/32 + (32597*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((3379*S[-1, Infinity]^3)/32 - 
     (821*S[-1, Infinity]*S[2, Infinity])/4 - (85927*S[3, Infinity])/448)*
    S[5, Infinity] - (894557*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-3701*S[-1, Infinity]^4)/3360 + 
     (2113*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((4217*S[-1, Infinity]^5)/3360 - 
     (2231*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (5027*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1483*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/96 + (9481*S[-5, -1, Infinity])/
      28 + (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*(97*S[-5, -1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (S[-1, Infinity]^7/35 + (27*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (2407*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (1427*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-217*S[-1, Infinity]^2)/2 - (22541*S[2, Infinity])/112)*
      S[5, Infinity] + (109265*S[7, Infinity])/224 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 - (19577*S[2, Infinity]^2)/
        1120 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-43*S[-1, Infinity]^5)/80 + 
       (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       12*S[-1, 1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]*(-79*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (4*(85*S[-5, 1, 1, Infinity] - 111*S[5, -1, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-306*S[-5, 1, 1, Infinity] + 
      457*S[5, -1, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (-5207600*S[-7, -1, Infinity] - 855991*S[5, 3, Infinity] - 
     593920*S[-5, -1, -1, -1, Infinity] - 488000*S[-5, -1, 1, 1, Infinity] + 
     47040*S[-1, 1, 1, 1, Infinity]^2 + 2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 2, -1, -1, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/384 - (829*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (470353*S[2, Infinity]^4)/392000 + 
   ((67*S[-1, Infinity]^2)/224 + (131*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-12*S[-1, Infinity]*S[2, Infinity])/7 - (26881*S[3, Infinity])/1792)*
    S[5, Infinity] + (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((1171*S[-1, Infinity]^4)/3360 - 
     (214*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 - (8*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (135200*S[-7, -1, Infinity] + 421*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (1373*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-93*S[-1, Infinity]^2)/32 + (1201*S[2, Infinity])/224)*
      S[5, Infinity] - (20437*S[7, Infinity])/1792 - 
     (34*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((-49*S[-1, Infinity]^4)/96 + 
       (55*S[-1, Infinity]^2*S[2, Infinity])/16 + (1171*S[2, Infinity]^2)/
        224 + (49*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/16 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/3360 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (389*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (48*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, -1, 1, -2, -1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/3360 - (11787*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (16603283*S[2, Infinity]^4)/784000 + 
   ((-8297*S[-1, Infinity]^2)/448 + (57555*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1643*S[-1, Infinity]^3)/32 - 
     (66263*S[-1, Infinity]*S[2, Infinity])/896 - (378565*S[3, Infinity])/
      3584)*S[5, Infinity] - (1682369*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-113*S[-1, Infinity]^4)/1680 + 
     (533*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((3427*S[-1, Infinity]^5)/3360 - (4439*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (135159*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (6329*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 + (1226*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(2383*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-615*S[-5, 1, 1, Infinity] + 
      869*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*(S[-1, Infinity]^7/70 + 
     (81*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (69*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-141*S[-1, Infinity]^2*S[2, Infinity])/32 - (349*S[2, Infinity]^2)/35)*
      S[3, Infinity] + (9425*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-3379*S[-1, Infinity]^2)/64 - (102867*S[2, Infinity])/896)*
      S[5, Infinity] + (119155*S[7, Infinity])/448 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - (21*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (3*S[-1, Infinity]*(-55*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-275*S[-5, 1, 1, Infinity] + 488*S[5, -1, -1, Infinity] + 
       1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-1229120*S[-7, -1, Infinity] - 194917*S[5, 3, Infinity] - 
     123040*S[-5, -1, -1, -1, Infinity] - 132320*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, 2, -1, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/128 - (479*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (401329*S[2, Infinity]^4)/784000 + 
   ((-2819*S[-1, Infinity]^2)/1792 - (701*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((123*S[-1, Infinity]*S[2, Infinity])/28 - 
     (58207*S[3, Infinity])/7168)*S[5, Infinity] - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]*((337*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-15*S[-1, Infinity]^2*S[2, Infinity])/32 - (7053*S[2, Infinity]^2)/
        2240)*S[3, Infinity] - (565*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-93*S[-1, Infinity]^2)/64 - (2525*S[2, Infinity])/224)*
      S[5, Infinity] + (224111*S[7, Infinity])/7168 + 
     (65*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (65*S[-5, 1, 1, Infinity] + 107*S[5, -1, -1, Infinity])/28) + 
   S[2, Infinity]^2*((-1783*S[-1, Infinity]^4)/6720 - 
     (107*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/32 + (41*S[-5, -1, Infinity])/14 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (301760*S[-7, -1, Infinity] + 63989*S[5, 3, Infinity] + 
     52480*S[-5, -1, -1, -1, Infinity] - 52480*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((379*S[-1, Infinity]^5)/2240 - 
     (309*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (13389*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/14), 
 S[1, 2, -1, 1, 2, -1, Infinity] -> (143*S[-1, Infinity]^8)/5040 + 
   (138*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (2767749*S[2, Infinity]^4)/
    392000 + ((4595*S[-1, Infinity]^2)/1792 - (12073*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/192 + 
     (2911*S[-1, Infinity]*S[2, Infinity])/224 + (44199*S[3, Infinity])/1792)*
    S[5, Infinity] - S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/1344 + 
     (187*S[-1, 1, 1, 1, Infinity])/56) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-971*S[-1, Infinity]^5)/1680 + 
     (1007*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1891*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (551*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-415*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-89*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3485*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/42 + 
     (167*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (61*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (1387*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((2821*S[-1, Infinity]^2)/128 + (46619*S[2, Infinity])/896)*
      S[5, Infinity] - (489135*S[7, Infinity])/3584 + 
     (31*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 + 
       (279*S[-1, Infinity]^2*S[2, Infinity])/32 + (16741*S[2, Infinity]^2)/
        2240 + (21*S[-1, 1, 1, 1, Infinity])/8) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/40 + 9*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     (62*S[-5, 1, 1, Infinity] - 239*S[5, -1, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1189760*S[-7, -1, Infinity] + 124333*S[5, 3, Infinity] + 
     36480*S[-5, -1, -1, -1, Infinity] + 196480*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 2, -1, 1, 2, 1, Infinity] -> 
  (29*S[-1, Infinity]^8)/2016 - (123*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (1557323*S[2, Infinity]^4)/196000 + 
   ((-7865*S[-1, Infinity]^2)/896 + (59573*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((6727*S[-1, Infinity]^3)/192 - 
     (32663*S[-1, Infinity]*S[2, Infinity])/896 - (31719*S[3, Infinity])/
      1792)*S[5, Infinity] - (167333*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((111*S[-1, Infinity]^4)/1120 + 
     (1207*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((377*S[-1, Infinity]^5)/3360 - 
     (713*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1917*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1217*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/72 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(1551*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (4*S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-111*S[-5, 1, 1, Infinity] + 
      148*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + S[1, Infinity]*(-S[-1, Infinity]^7/105 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (179*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (6521*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-1767*S[-1, Infinity]^2)/128 - (6359*S[2, Infinity])/448)*
      S[5, Infinity] + (180197*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 + 
       (45*S[-1, Infinity]^2*S[2, Infinity])/16 - (257*S[2, Infinity]^2)/
        448 + (21*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-23*S[-1, Infinity]^5)/240 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       7*S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(103*S[-5, -1, Infinity] + 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-160*S[-5, 1, 1, Infinity] + 57*S[5, -1, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-5413120*S[-7, -1, Infinity] - 826129*S[5, 3, Infinity] - 
     602880*S[-5, -1, -1, -1, Infinity] - 436480*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, 1, -1, -2, -1, Infinity] -> 
  (-197*S[-1, Infinity]^8)/13440 + (5563*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (2772563*S[2, Infinity]^4)/196000 + 
   ((6787*S[-1, Infinity]^2)/448 - (57263*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1643*S[-1, Infinity]^3)/32 + 
     (73047*S[-1, Infinity]*S[2, Infinity])/896 + (213151*S[3, Infinity])/
      3584)*S[5, Infinity] + (1787383*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((2449*S[-1, Infinity]^4)/3360 - 
     (857*S[-1, 1, 1, 1, Infinity])/70) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-281*S[-1, Infinity]^5)/672 + 
     (4049*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (30147*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (4805*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/480 - (2029*S[-5, -1, Infinity])/
      14 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(-793*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/70 - 
     (171*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (853*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (12281*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((3379*S[-1, Infinity]^2)/64 + (41077*S[2, Infinity])/448)*
      S[5, Infinity] - (1546925*S[7, Infinity])/7168 + 
     S[3, Infinity]*((35*S[-1, Infinity]^4)/96 - 
       (97*S[-1, Infinity]^2*S[2, Infinity])/32 + (313*S[2, Infinity]^2)/70 - 
       (35*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/5 - (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (21*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-149*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (767*S[-5, 1, 1, Infinity] - 759*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(601*S[-5, 1, 1, Infinity] - 883*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (9477760*S[-7, -1, Infinity] + 1512419*S[5, 3, Infinity] + 
     1053440*S[-5, -1, -1, -1, Infinity] + 828160*S[-5, -1, 1, 1, Infinity] - 
     188160*S[-1, 1, 1, 1, Infinity]^2 - 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, 1, -1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/128 + (733*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1411*S[2, Infinity]^4)/24500 + ((-121*S[-1, Infinity]^2)/1792 + 
     (1681*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-123*S[-1, Infinity]*S[2, Infinity])/28 + (67251*S[3, Infinity])/7168)*
    S[5, Infinity] + (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]*((-13*S[-1, Infinity]*S[2, Infinity]^3)/7 - 
     (3075*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((93*S[-1, Infinity]^2)/64 - (5807*S[2, Infinity])/448)*S[5, Infinity] + 
     (120229*S[7, Infinity])/3584 + (83*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (83*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/12 - 
       (97*S[-1, Infinity]^2*S[2, Infinity])/32 - (16271*S[2, Infinity]^2)/
        2240 - 14*S[-1, 1, 1, 1, Infinity])) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-3971*S[-1, Infinity]^4)/6720 + 
     (2081*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/32 - (41*S[-5, -1, Infinity])/14 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-355520*S[-7, -1, Infinity] - 40833*S[5, 3, Infinity] - 
     52480*S[-5, -1, -1, -1, Infinity] + 52480*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((39*S[-1, Infinity]^5)/448 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (657*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14), S[1, 2, 1, -1, 2, -1, Infinity] -> 
  (221*S[-1, Infinity]^8)/40320 + (157*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (35953*S[2, Infinity]^4)/24500 + 
   ((1501*S[-1, Infinity]^2)/1792 + (19161*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 - 
     (911*S[-1, Infinity]*S[2, Infinity])/28 + (34295*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-2293*S[-1, Infinity]^4)/6720 + 
     (123*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/140 - 
     (159*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (3963*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (81*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(439*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(179*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/42 + 
     (643*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (513*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (3151*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-2077*S[-1, Infinity]^2)/128 - (12235*S[2, Infinity])/896)*
      S[5, Infinity] + (180197*S[7, Infinity])/3584 - 
     (80*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-79*S[-1, Infinity]^4)/192 + 
       (241*S[-1, Infinity]^2*S[2, Infinity])/32 + (8473*S[2, Infinity]^2)/
        2240 + (79*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-23*S[-1, Infinity]^5)/80 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-160*S[-5, 1, 1, Infinity] + 
       57*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (-1865280*S[-7, -1, Infinity] - 273317*S[5, 3, Infinity] - 
     204800*S[-5, -1, -1, -1, Infinity] - 99840*S[-5, -1, 1, 1, Infinity] + 
     134400*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, 1, -1, 2, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/2016 + (867*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (6389711*S[2, Infinity]^4)/784000 + 
   ((12569*S[-1, Infinity]^2)/896 - (63031*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-6727*S[-1, Infinity]^3)/192 + 
     (32663*S[-1, Infinity]*S[2, Infinity])/896 + (33027*S[3, Infinity])/896)*
    S[5, Infinity] + (167333*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((87*S[-1, Infinity]^4)/224 - 
     (65*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2309*S[-1, Infinity]^5)/3360 + 
     (1973*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (38001*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1469*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/72 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(1523*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (4*S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 + 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (227*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (4631*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((2511*S[-1, Infinity]^2)/128 + (22417*S[2, Infinity])/448)*
      S[5, Infinity] - (489135*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-37*S[-1, Infinity]^4)/192 + 
       (47*S[-1, Infinity]^2*S[2, Infinity])/16 + (12681*S[2, Infinity]^2)/
        2240 + (37*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-49*S[-1, Infinity]^5)/240 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(59*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (62*S[-5, 1, 1, Infinity] - 239*S[5, -1, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(111*S[-5, 1, 1, Infinity] - 148*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (5372800*S[-7, -1, Infinity] + 878167*S[5, 3, Infinity] + 
     602880*S[-5, -1, -1, -1, Infinity] + 436480*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, 1, 1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/1152 - (131*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1353663*S[2, Infinity]^4)/784000 + 
   ((-709*S[-1, Infinity]^2)/896 + (43*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 - 
     (2179*S[-1, Infinity]*S[2, Infinity])/448 + (38467*S[3, Infinity])/3584)*
    S[5, Infinity] + (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-209*S[-1, Infinity]^4)/2240 + 
     (417*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 + (93*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-420480*S[-7, -1, Infinity] - 19259*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] - 37120*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (919*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-155*S[-1, Infinity]^2)/32 - (1079*S[2, Infinity])/112)*
      S[5, Infinity] + (68219*S[7, Infinity])/3584 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-S[-5, 1, 1, Infinity] + 34*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/64 - 
       (63*S[-1, Infinity]^2*S[2, Infinity])/32 - (6233*S[2, Infinity]^2)/
        2240 - (21*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/840 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3659*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 2, 1, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 + (9*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (295721*S[2, Infinity]^4)/784000 + 
   ((327*S[-1, Infinity]^2)/448 - (3707*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/48 - 
     (541*S[-1, Infinity]*S[2, Infinity])/224 + (33319*S[3, Infinity])/7168)*
    S[5, Infinity] + (156361*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(67*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/6720 - 
     (491*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - (239*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (873280*S[-7, -1, Infinity] + 166391*S[5, 3, Infinity] + 
     93440*S[-5, -1, -1, -1, Infinity] + 85760*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((271*S[-1, Infinity]^5)/6720 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1207*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (219*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (731*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     (1439*S[2, Infinity]*S[5, Infinity])/448 - (19923*S[7, Infinity])/7168 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (5*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 - (33*S[2, Infinity]^2)/56 - 
       (7*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (S[-1, Infinity]^5/20 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 + (3*S[-1, 1, 1, 1, 1, Infinity])/2)), 
 S[1, 2, 1, 1, 2, -1, Infinity] -> -S[-1, Infinity]^8/128 - 
   (54*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (208517*S[2, Infinity]^4)/
    392000 + ((-1829*S[-1, Infinity]^2)/896 - (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/32 + 
     (1679*S[-1, Infinity]*S[2, Infinity])/224 - (10013*S[3, Infinity])/1792)*
    S[5, Infinity] + (48829*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((97*S[-1, Infinity]^4)/3360 - 
     (521*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/32 - (173*S[-5, -1, Infinity])/28 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (350720*S[-7, -1, Infinity] + 58971*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((51*S[-1, Infinity]^5)/224 - 
     (157*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (803*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (1087*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (557*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((155*S[-1, Infinity]^2)/32 + (5233*S[2, Infinity])/224)*
      S[5, Infinity] - (55997*S[7, Infinity])/1792 - 
     (47*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity])/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + (107*S[2, Infinity]^2)/28 + 
       (21*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((11*S[-1, Infinity]^5)/80 - (9*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + 6*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 2, 1, 1, 2, 1, Infinity] -> (258*S[2, Infinity]^4)/175 - 
   12*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((12*S[2, Infinity]^2*S[3, Infinity])/5 - 4*S[7, Infinity]) - 
   4*S[5, 3, Infinity], S[1, -2, -1, -1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/210 - (18849*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (11935751*S[2, Infinity]^4)/784000 + 
   ((-11633*S[-1, Infinity]^2)/896 + (91865*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/8 - 
     (83831*S[-1, Infinity]*S[2, Infinity])/448 - (381065*S[3, Infinity])/
      3584)*S[5, Infinity] - (2309815*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2059*S[-1, Infinity]^4)/3360 + 
     (977*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((2393*S[-1, Infinity]^5)/2240 - (6997*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (101819*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (7459*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (12149*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^2*(-121*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/105 + 
     (287*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (5381*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((27*S[-1, Infinity]^2*S[2, Infinity])/32 - (2603*S[2, Infinity]^2)/280)*
      S[3, Infinity] + (157*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-775*S[-1, Infinity]^2)/16 - (72291*S[2, Infinity])/896)*
      S[5, Infinity] + (29003*S[7, Infinity])/112 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/48 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (2*S[-1, Infinity]*(-53*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (2*(81*S[-5, 1, 1, Infinity] - 94*S[5, -1, -1, Infinity] - 
        448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-673*S[-5, 1, 1, Infinity] + 
      1007*S[5, -1, -1, Infinity] + 3584*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-7171200*S[-7, -1, Infinity] - 1188751*S[5, 3, Infinity] - 
     880000*S[-5, -1, -1, -1, Infinity] - 598400*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, -2, -1, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/384 - 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (21479*S[2, Infinity]^4)/56000 + ((393*S[-1, Infinity]^2)/128 + 
     (1893*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-75*S[-1, Infinity]*S[2, Infinity])/2 - (4427*S[3, Infinity])/256)*
    S[5, Infinity] + (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/320 + 
     (27*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/24 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (403*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   (-81920*S[-7, -1, Infinity] - 19983*S[5, 3, Infinity] - 
     16000*S[-5, -1, -1, -1, Infinity] - 1920*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (265*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     ((45*S[-1, Infinity]^2*S[2, Infinity])/16 + (10709*S[2, Infinity]^2)/
        2240)*S[3, Infinity] - (419*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((155*S[-1, Infinity]^2)/16 + (1625*S[2, Infinity])/56)*S[5, Infinity] - 
     (453623*S[7, Infinity])/7168 + (25*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + (5*(5*S[-5, 1, 1, Infinity] - 51*S[5, -1, -1, Infinity]))/28 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(-11*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[1, -2, -1, -1, 1, -2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (69*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (2519479*S[2, Infinity]^4)/
    784000 + ((3903*S[-1, Infinity]^2)/1792 + (27949*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-3057*S[-1, Infinity]*S[2, Infinity])/56 - 
     (91963*S[3, Infinity])/7168)*S[5, Infinity] + 
   (401*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/1344 - 
     (131*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-1822400*S[-7, -1, Infinity] - 387019*S[5, 3, Infinity] - 
     513280*S[-5, -1, -1, -1, Infinity] + 136960*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/1680 - 
     (169*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (12283*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (447*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-37*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (543*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (1727*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((837*S[-1, Infinity]^2)/128 + (22695*S[2, Infinity])/896)*
      S[5, Infinity] - (29219*S[7, Infinity])/896 + 
     (79*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (79*S[-5, 1, 1, Infinity] - 110*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 - (739*S[2, Infinity]^2)/2240 - 
       (11*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((2*S[-1, Infinity]^5)/15 - (9*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + (13*S[-1, 1, 1, 1, 1, Infinity])/2)) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-277*S[-5, -1, Infinity] + 
       420*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -2, -1, -1, 1, 2, Infinity] -> (-53*S[-1, Infinity]^8)/5040 - 
   (3663*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (639599*S[2, Infinity]^4)/49000 + ((-12189*S[-1, Infinity]^2)/896 + 
     (62063*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((651*S[-1, Infinity]^3)/16 - (14277*S[-1, Infinity]*S[2, Infinity])/112 - 
     (273089*S[3, Infinity])/3584)*S[5, Infinity] - 
   (106299*S[-1, Infinity]*S[7, Infinity])/512 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-2011*S[-1, Infinity]^4)/3360 + 
     (533*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((1529*S[-1, Infinity]^5)/1344 - (2161*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (75809*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (5475*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/160 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4631*S[-5, -1, Infinity] - 210*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(2861*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   3*S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity] - 
     32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[-1, Infinity]^7/70 + 
     (179*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (1011*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (7093*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-4371*S[-1, Infinity]^2)/128 - (49377*S[2, Infinity])/896)*
      S[5, Infinity] + (627217*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-19*S[-1, Infinity]^4)/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 - (10147*S[2, Infinity]^2)/2240 + 
       (19*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-19*S[-1, Infinity]^5)/240 - (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(181*S[-5, -1, Infinity] + 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-509*S[-5, 1, 1, Infinity] + 478*S[5, -1, -1, Infinity] + 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-10303360*S[-7, -1, Infinity] - 1685063*S[5, 3, Infinity] - 
     1172480*S[-5, -1, -1, -1, Infinity] - 924160*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -2, -1, 1, -1, -2, Infinity] -> 
  (-5*S[-1, Infinity]^8)/1152 + (143*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (268873*S[2, Infinity]^4)/392000 + 
   ((171*S[-1, Infinity]^2)/896 + (2039*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-5079*S[-1, Infinity]*S[2, Infinity])/448 + 
     (7121*S[3, Infinity])/1792)*S[5, Infinity] + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/672 - 
     (15*S[-1, 1, 1, 1, Infinity])/14) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-46400*S[-7, -1, Infinity] + 8671*S[5, 3, Infinity] - 
     12160*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] - 
     22400*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((-23*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (51*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (40*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((341*S[-1, Infinity]^2)/64 + (2829*S[2, Infinity])/896)*
      S[5, Infinity] - (65*S[7, Infinity])/224 + 
     (32*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (64*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((23*S[-1, Infinity]^4)/192 - 
       (31*S[-1, Infinity]^2*S[2, Infinity])/16 - (2363*S[2, Infinity]^2)/
        2240 - (23*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/80 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]/2)) + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/1344 - 
     (205*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (55*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (205*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/96 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-181*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -2, -1, 1, -1, 2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (5979*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1578813*S[2, Infinity]^4)/784000 + 
   ((-1233*S[-1, Infinity]^2)/256 + (6235*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/32 - 
     (2283*S[-1, Infinity]*S[2, Infinity])/128 - (82933*S[3, Infinity])/1792)*
    S[5, Infinity] - (43851*S[-1, Infinity]*S[7, Infinity])/1792 + 
   10*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (9*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-1279*S[-1, Infinity]^4)/6720 + 
     (509*S[-1, 1, 1, 1, Infinity])/280) + 
   (-1837120*S[-7, -1, Infinity] - 363061*S[5, 3, Infinity] - 
     220160*S[-5, -1, -1, -1, Infinity] - 263680*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((-7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (249*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (2287*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-217*S[-1, Infinity]^2)/64 - (10959*S[2, Infinity])/896)*
      S[5, Infinity] + (43331*S[7, Infinity])/1792 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (10*S[-5, 1, 1, Infinity] + 59*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/4 - (397*S[2, Infinity]^2)/280 - 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*(S[-1, Infinity]^5/10 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2)) + S[3, Infinity]*
    ((269*S[-1, Infinity]^5)/840 - (929*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (5333*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1417*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2509*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -2, -1, 1, 1, -2, Infinity] -> (-13*S[-1, Infinity]^8)/40320 - 
   (341*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (2588053*S[2, Infinity]^4)/
    784000 + ((-1725*S[-1, Infinity]^2)/448 + (49283*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/32 - 
     (25815*S[-1, Infinity]*S[2, Infinity])/448 - (238673*S[3, Infinity])/
      7168)*S[5, Infinity] - (553267*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-1133*S[-1, Infinity]^4)/6720 + 
     (1133*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((145*S[-1, Infinity]^5)/448 - 
     (725*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (120647*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (2175*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(1131*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(141*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-191*S[-5, 1, 1, Infinity] + 
      173*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*(S[-1, Infinity]^7/210 + 
     (16*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (279*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (4299*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-961*S[-1, Infinity]^2)/128 - (5843*S[2, Infinity])/896)*
      S[5, Infinity] + (154391*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/192 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 - (921*S[2, Infinity]^2)/
        1120 + (5*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/120 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (8*S[-1, Infinity]*(-6*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-157*S[-5, 1, 1, Infinity] + 60*S[5, -1, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-7737280*S[-7, -1, Infinity] - 1267377*S[5, 3, Infinity] - 
     910080*S[-5, -1, -1, -1, Infinity] - 702720*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, -1, 1, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/1152 + (649*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (426799*S[2, Infinity]^4)/392000 + 
   ((117*S[-1, Infinity]^2)/896 + (1345*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-39*S[-1, Infinity]*S[2, Infinity])/14 + 
     (2627*S[3, Infinity])/3584)*S[5, Infinity] + 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((451*S[-1, Infinity]^4)/6720 + 
     (179*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-492160*S[-7, -1, Infinity] - 56611*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (257*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((651*S[-1, Infinity]^2)/128 + (10783*S[2, Infinity])/896)*
      S[5, Infinity] - (244485*S[7, Infinity])/7168 + 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (34*S[-5, 1, 1, Infinity] - 113*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/192 + 
       (29*S[-1, Infinity]^2*S[2, Infinity])/32 + (151*S[2, Infinity]^2)/70 + 
       (5*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (-S[-1, Infinity]^5/80 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - 6*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/3360 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (4709*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (64*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[1, -2, 1, -1, -1, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (477*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (551239*S[2, Infinity]^4)/784000 + 
   ((-2439*S[-1, Infinity]^2)/1792 - (20309*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((15395*S[-1, Infinity]*S[2, Infinity])/448 + 
     (129741*S[3, Infinity])/7168)*S[5, Infinity] - 
   (271*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/2240 + 
     (521*S[-1, 1, 1, 1, Infinity])/280) + 
   (1712320*S[-7, -1, Infinity] + 333239*S[5, 3, Infinity] + 
     346880*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[1, Infinity]*((65*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (419*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (765*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-1023*S[-1, Infinity]^2)/128 - (21437*S[2, Infinity])/896)*
      S[5, Infinity] + (18511*S[7, Infinity])/896 - 
     (153*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (3*(51*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/32 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 + (5619*S[2, Infinity]^2)/
        2240 + (27*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-29*S[-1, Infinity]^5)/120 + 
       (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (17*S[-1, 1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((-757*S[-1, Infinity]^5)/6720 + 
     (757*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (47743*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (757*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-67*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -2, 1, -1, -1, 2, Infinity] -> (59*S[-1, Infinity]^8)/6720 + 
   (8367*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (5650381*S[2, Infinity]^4)/392000 + 
   ((4557*S[-1, Infinity]^2)/256 - (66235*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1395*S[-1, Infinity]^3)/32 + 
     (17965*S[-1, Infinity]*S[2, Infinity])/128 + (692835*S[3, Infinity])/
      7168)*S[5, Infinity] + (1401243*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((39*S[-1, Infinity]^4)/56 - 
     (61*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-529*S[-1, Infinity]^5)/420 + 
     (3791*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (48883*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (6259*S[-1, 1, 1, 1, 1, Infinity])/56) + 4*S[-1, Infinity]^2*
    (-14*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/480 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5065*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/70 - 
     (61*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (8219*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1935*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((4557*S[-1, Infinity]^2)/128 + (49309*S[2, Infinity])/896)*
      S[5, Infinity] - (1253155*S[7, Infinity])/7168 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/64 - 
       (33*S[-1, Infinity]^2*S[2, Infinity])/32 + (8949*S[2, Infinity]^2)/
        2240 - (9*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (3*S[-1, Infinity]*(129*S[-5, -1, Infinity] + 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(178*S[-5, 1, 1, Infinity] - 165*S[5, -1, -1, Infinity] - 
        896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]*(229*S[-5, 1, 1, Infinity] - 
      191*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (21872320*S[-7, -1, Infinity] + 3553883*S[5, 3, Infinity] + 
     2443520*S[-5, -1, -1, -1, Infinity] + 
     2072320*S[-5, -1, 1, 1, Infinity] + 107520*S[-1, 1, 1, 1, Infinity]^2 - 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, 1, -1, 1, -2, Infinity] -> S[-1, Infinity]^8/420 + 
   (12921*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (306097*S[2, Infinity]^4)/31360 + ((4343*S[-1, Infinity]^2)/448 - 
     (105093*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-1023*S[-1, Infinity]^3)/32 + (24125*S[-1, Infinity]*S[2, Infinity])/
      224 + (297505*S[3, Infinity])/3584)*S[5, Infinity] + 
   (561445*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((451*S[-1, Infinity]^4)/1120 - 
     (1143*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-4621*S[-1, Infinity]^5)/6720 + 
     (4621*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6187*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (4621*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 - 
     (3*(2455*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-1131*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/105 - 
     (161*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (2701*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (653*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((1519*S[-1, Infinity]^2)/64 + (1125*S[2, Infinity])/28)*
      S[5, Infinity] - (236563*S[7, Infinity])/1792 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 + (10203*S[2, Infinity]^2)/
        2240 + (5*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/80 - 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-111*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (146*S[-5, 1, 1, Infinity] - 197*S[5, -1, -1, Infinity] - 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(101*S[-5, 1, 1, Infinity] - 130*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (1613120*S[-7, -1, Infinity] + 273083*S[5, 3, Infinity] + 
     195072*S[-5, -1, -1, -1, Infinity] + 148992*S[-5, -1, 1, 1, Infinity] - 
     573440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[1, -2, 1, -1, 1, 2, Infinity] -> S[-1, Infinity]^8/384 - 
   (93*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - (263603*S[2, Infinity]^4)/
    392000 + ((-909*S[-1, Infinity]^2)/1792 - (8075*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((303*S[-1, Infinity]*S[2, Infinity])/28 + 
     (39143*S[3, Infinity])/7168)*S[5, Infinity] - 
   (101*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/840 - 
     (53*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (1213760*S[-7, -1, Infinity] + 190569*S[5, 3, Infinity] + 
     129280*S[-5, -1, -1, -1, Infinity] + 121600*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/40 + 5*S[-1, Infinity]*
      S[3, Infinity]^2 + ((-527*S[-1, Infinity]^2)/64 - 
       (2065*S[2, Infinity])/128)*S[5, Infinity] + (12617*S[7, Infinity])/
      512 - 4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (-8*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (141*S[2, Infinity]^2)/160 + 
       (5*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-43*S[-1, Infinity]^5)/240 + (9*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/840 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (17849*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(-89*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, -2, 1, 1, -1, -2, Infinity] -> -S[-1, Infinity]^8/840 - 
   (549*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (51747*S[2, Infinity]^4)/16000 + ((-1209*S[-1, Infinity]^2)/896 + 
     (701*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/16 - (10121*S[-1, Infinity]*S[2, Infinity])/224 - 
     (17035*S[3, Infinity])/1024)*S[5, Infinity] - 
   (130243*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-113*S[-1, Infinity]^4)/960 + 
     (133*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/64 - (197*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (88589*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (235*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*(24*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(421*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-53*S[-5, 1, 1, Infinity] + 87*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/210 + 
     (73*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (897*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (2533*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-837*S[-1, Infinity]^2)/128 - (10761*S[2, Infinity])/896)*
      S[5, Infinity] + (190961*S[7, Infinity])/3584 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/64 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (713*S[2, Infinity]^2)/
        280 - (15*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/80 + S[-1, 1, 1, 1, 1, Infinity]/
        2) - (S[-1, Infinity]*(29*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-81*S[-5, 1, 1, Infinity] + 108*S[5, -1, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-934720*S[-7, -1, Infinity] - 148191*S[5, 3, Infinity] - 
     108800*S[-5, -1, -1, -1, Infinity] - 75520*S[-5, -1, 1, 1, Infinity] + 
     409600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, -2, 1, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/576 - 
   (93*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (68963*S[2, Infinity]^4)/196000 + ((1963*S[-1, Infinity]^2)/1792 + 
     (9473*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-393*S[-1, Infinity]*S[2, Infinity])/28 - (44355*S[3, Infinity])/7168)*
    S[5, Infinity] + (131*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/3360 - 
     (19*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-596800*S[-7, -1, Infinity] - 172127*S[5, 3, Infinity] - 
     167680*S[-5, -1, -1, -1, Infinity] + 42240*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/420 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (18973*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]/
      7) + S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (543*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (223*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((403*S[-1, Infinity]^2)/128 + (13687*S[2, Infinity])/896)*
      S[5, Infinity] - (69525*S[7, Infinity])/3584 + 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (25*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/64 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/16 + (1777*S[2, Infinity]^2)/
        2240 - (15*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       5*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (-S[-1, Infinity]^6/180 + (-45*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -2, 1, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/288 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (7309*S[2, Infinity]^4)/
    28000 + ((7*S[-1, Infinity]^2)/128 - (17*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]*S[2, Infinity])/32 + 
     (661*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/240 + 
     (7*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (113*S[5, 3, Infinity] + 1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (73*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     (55*S[2, Infinity]*S[5, Infinity])/16 - (883*S[7, Infinity])/128 - 
     S[-1, Infinity]*S[-5, -1, Infinity] - S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity] + S[3, Infinity]*((-13*S[-1, Infinity]^4)/192 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 + (43*S[2, Infinity]^2)/32 + 
       (13*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (S[-1, Infinity]^5/60 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2)) + S[3, Infinity]*
    (-S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, -2, 1, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/1152 + 
   (67*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (5927*S[2, Infinity]^4)/28000 + ((127*S[-1, Infinity]^2)/64 + 
     (111*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/16 + (983*S[3, Infinity])/1024)*
    S[5, Infinity] - (8295*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/4 + 
   S[2, Infinity]^2*((21*S[-1, Infinity]^4)/320 + 
     (27*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (1600*S[-7, -1, Infinity] - 3533*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (103*S[-1, Infinity]*S[3, Infinity]^2)/128 - 
     (15*S[2, Infinity]*S[5, Infinity])/64 + (1231*S[7, Infinity])/1024 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity])/4 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (91*S[2, Infinity]^2)/160 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2)) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/192 + (85*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (913*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/288 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-11*S[-5, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, 2, -1, -1, -1, -2, Infinity] -> S[-1, Infinity]^8/128 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (11461*S[2, Infinity]^4)/
    56000 + ((-337*S[-1, Infinity]^2)/128 - (1883*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((693*S[-1, Infinity]*S[2, Infinity])/16 + 
     (10805*S[3, Infinity])/512)*S[5, Infinity] - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/80 + 
     (27*S[-1, 1, 1, 1, Infinity])/20) + 
   (163840*S[-7, -1, Infinity] + 37249*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     11520*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[1, Infinity]*(S[-1, Infinity]^3*S[2, Infinity]^2 - 
     (443*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (755*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-155*S[-1, Infinity]^2)/16 - (6651*S[2, Infinity])/448)*
      S[5, Infinity] + (185257*S[7, Infinity])/7168 - 
     (151*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (-151*S[-5, 1, 1, Infinity] + 129*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/64 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/32 + (11*S[2, Infinity]^2)/1120 + 
       (39*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/240 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (3791*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-67*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-21*S[-5, -1, Infinity] - 52*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, 2, -1, -1, -1, 2, Infinity] -> (67*S[-1, Infinity]^8)/6720 + 
   (5127*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (14685141*S[2, Infinity]^4)/784000 + 
   ((551*S[-1, Infinity]^2)/28 - (90493*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/8 + 
     (82403*S[-1, Infinity]*S[2, Infinity])/448 + (224871*S[3, Infinity])/
      1792)*S[5, Infinity] + (1983433*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((5567*S[-1, Infinity]^4)/6720 - 
     (3257*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-1993*S[-1, Infinity]^5)/1344 + 
     (2995*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (26867*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (970*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-1999*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/120 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-12737*S[-5, -1, Infinity] + 364*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/105 - 
     (317*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (5381*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (1403*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((775*S[-1, Infinity]^2)/16 + (8899*S[2, Infinity])/112)*
      S[5, Infinity] - (56193*S[7, Infinity])/224 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/4 + (1763*S[2, Infinity]^2)/280 - 
       3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((47*S[-1, Infinity]^5)/240 - (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2) + 
     (2*S[-1, Infinity]*(53*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (2*(81*S[-5, 1, 1, Infinity] - 94*S[5, -1, -1, Infinity] - 
        448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(799*S[-5, 1, 1, Infinity] - 881*S[5, -1, -1, Infinity] - 
      3584*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (7107360*S[-7, -1, Infinity] + 1184061*S[5, 3, Infinity] + 
     839680*S[-5, -1, -1, -1, Infinity] + 638720*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 2, -1, -1, 1, -2, Infinity] -> 
  (83*S[-1, Infinity]^8)/13440 + (4479*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (4691069*S[2, Infinity]^4)/392000 + 
   ((27869*S[-1, Infinity]^2)/1792 - (143281*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/2 + 
     (16935*S[-1, Infinity]*S[2, Infinity])/112 + (712261*S[3, Infinity])/
      7168)*S[5, Infinity] + (820341*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((2077*S[-1, Infinity]^4)/3360 - 
     (1517*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-7237*S[-1, Infinity]^5)/6720 + 
     (6943*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (70309*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (6747*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-817*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/360 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-10541*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/70 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (253*S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (1945*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((4681*S[-1, Infinity]^2)/128 + (22289*S[2, Infinity])/448)*
      S[5, Infinity] - (1314973*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (3939*S[2, Infinity]^2)/560 + 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/40 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - (9*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-389*S[-5, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (536*S[-5, 1, 1, Infinity] - 521*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] - 57*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (23174080*S[-7, -1, Infinity] + 3723947*S[5, 3, Infinity] + 
     2681600*S[-5, -1, -1, -1, Infinity] + 
     2156800*S[-5, -1, 1, 1, Infinity] + 53760*S[-1, 1, 1, 1, Infinity]^2 - 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 2, -1, -1, 1, 2, Infinity] -> S[-1, Infinity]^8/384 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (2555193*S[2, Infinity]^4)/
    784000 + ((-227*S[-1, Infinity]^2)/224 - (4715*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((135*S[-1, Infinity]*S[2, Infinity])/7 + 
     (86539*S[3, Infinity])/3584)*S[5, Infinity] - 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-229*S[-1, Infinity]^4)/3360 + 
     (27*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (897600*S[-7, -1, Infinity] + 215231*S[5, 3, Infinity] + 
     115200*S[-5, -1, -1, -1, Infinity] + 72960*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/672 + 
     (305*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (14089*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((17*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
     (463*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (155*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-1271*S[-1, Infinity]^2)/128 - (15203*S[2, Infinity])/896)*
      S[5, Infinity] + (325709*S[7, Infinity])/7168 - 
     (31*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-124*S[-5, 1, 1, Infinity] + 163*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/8 - (7767*S[2, Infinity]^2)/2240 + 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*
      ((-9*S[-1, Infinity]^5)/80 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + 6*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-177*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, 2, -1, 1, -1, -2, Infinity] -> S[-1, Infinity]^8/192 - 
   (225*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (103629*S[2, Infinity]^4)/28000 + ((-9551*S[-1, Infinity]^2)/1792 + 
     (281*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/32 - (537*S[-1, Infinity]*S[2, Infinity])/56 - 
     (13133*S[3, Infinity])/512)*S[5, Infinity] + 
   (125067*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (169*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/480 + 
     (23*S[-1, 1, 1, 1, Infinity])/10) + 
   (-81280*S[-7, -1, Infinity] - 12577*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 21760*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[1, Infinity]*((19*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (237*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (2225*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-93*S[-1, Infinity]^2)/64 + (1277*S[2, Infinity])/224)*
      S[5, Infinity] - (7167*S[7, Infinity])/448 - 
     (37*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-37*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 2*S[-1, Infinity]^2*
        S[2, Infinity] + (179*S[2, Infinity]^2)/140 + 
       S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      ((-31*S[-1, Infinity]^5)/240 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]/2)) + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/64 - 
     (169*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (20491*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (125*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (173*S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[1, 2, -1, 1, -1, 2, Infinity] -> -S[-1, Infinity]^8/384 + 
   (633*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2145753*S[2, Infinity]^4)/784000 + 
   ((-487*S[-1, Infinity]^2)/896 - (1699*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((195*S[-1, Infinity]*S[2, Infinity])/14 - 
     (25931*S[3, Infinity])/3584)*S[5, Infinity] - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1133*S[-1, Infinity]^4)/6720 + 
     (617*S[-1, 1, 1, 1, Infinity])/280) + 
   (55040*S[-7, -1, Infinity] + 35549*S[5, 3, Infinity] + 
     83200*S[-5, -1, -1, -1, Infinity] - 83200*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (123*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (73*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((93*S[-1, Infinity]^2)/64 - (311*S[2, Infinity])/28)*S[5, Infinity] + 
     (67731*S[7, Infinity])/3584 + (22*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (44*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 2*S[-1, Infinity]^2*
        S[2, Infinity] - (197*S[2, Infinity]^2)/280 + 
       S[-1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/120 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/560 + 
     (143*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (10217*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (253*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 2, -1, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/192 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (374533*S[2, Infinity]^4)/156800 + 
   ((-4211*S[-1, Infinity]^2)/1792 - (16917*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((15349*S[-1, Infinity]*S[2, Infinity])/448 + 
     (17077*S[3, Infinity])/7168)*S[5, Infinity] - 
   (261*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/840 - 
     (3*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (141376*S[-7, -1, Infinity] + 48435*S[5, 3, Infinity] + 
     66816*S[-5, -1, -1, -1, Infinity] - 41728*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (99*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (39*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-217*S[-1, Infinity]^2)/128 - (1571*S[2, Infinity])/128)*
      S[5, Infinity] + (11369*S[7, Infinity])/512 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     (3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity])/4 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/192 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/8 - (33*S[2, Infinity]^2)/20 + 
       (11*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((13*S[-1, Infinity]^5)/240 - (S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((841*S[-1, Infinity]^5)/6720 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (29901*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (123*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (389*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 2, -1, 1, 1, 2, Infinity] -> (59*S[-1, Infinity]^8)/20160 + 
   (101*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (24567*S[2, Infinity]^4)/8000 + ((-67*S[-1, Infinity]^2)/256 - 
     (1899*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/32 + (4111*S[-1, Infinity]*S[2, Infinity])/128 - 
     (417*S[3, Infinity])/256)*S[5, Infinity] + 
   (60841*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/960 - 
     (111*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/480 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (2017*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (7*(11*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(-93*S[-5, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/210 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (3849*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (315*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((651*S[-1, Infinity]^2)/128 + (797*S[2, Infinity])/128)*
      S[5, Infinity] - (38103*S[7, Infinity])/1024 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/32 + (419*S[2, Infinity]^2)/
        320 - (5*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/40 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 5*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-21*S[-5, -1, Infinity] - 
        32*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (16*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
       128*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] - 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (11600*S[-7, -1, Infinity] + 1693*S[5, 3, Infinity] + 
     1240*S[-5, -1, -1, -1, Infinity] + 920*S[-5, -1, 1, 1, Infinity] + 
     80*S[-1, 1, 1, 1, Infinity]^2 - 6400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/80, S[1, 2, 1, -1, -1, -2, Infinity] -> 
  (-51*S[-1, Infinity]^8)/4480 - (6903*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (2628041*S[2, Infinity]^4)/196000 + 
   ((-1807*S[-1, Infinity]^2)/112 + (57837*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1209*S[-1, Infinity]^3)/32 - 
     (58059*S[-1, Infinity]*S[2, Infinity])/448 - (259645*S[3, Infinity])/
      3584)*S[5, Infinity] - (1248747*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-445*S[-1, Infinity]^4)/672 + 
     (29*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((7871*S[-1, Infinity]^5)/6720 - (7045*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (151367*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (5561*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((103*S[-1, Infinity]^6)/720 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (8389*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(2771*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(205*S[-5, 1, 1, Infinity] - 
      159*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*(S[-1, Infinity]^7/70 + 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (1021*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (211*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-4247*S[-1, Infinity]^2)/128 - (4653*S[2, Infinity])/112)*
      S[5, Infinity] + (620479*S[7, Infinity])/3584 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/32 - (14323*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/120 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (19*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]*(-53*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-465*S[-5, 1, 1, Infinity] + 494*S[5, -1, -1, Infinity] + 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1202360*S[-7, -1, Infinity] - 190231*S[5, 3, Infinity] - 
     135040*S[-5, -1, -1, -1, Infinity] - 106880*S[-5, -1, 1, 1, Infinity] - 
     10080*S[-1, 1, 1, 1, Infinity]^2 + 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, 2, 1, -1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/128 - (341*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1929301*S[2, Infinity]^4)/784000 + 
   ((247*S[-1, Infinity]^2)/896 + (7181*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-213*S[-1, Infinity]*S[2, Infinity])/14 - 
     (17763*S[3, Infinity])/896)*S[5, Infinity] + 
   (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/2240 + 
     (997*S[-1, 1, 1, 1, Infinity])/280) + 
   (-100600*S[-7, -1, Infinity] - 19689*S[5, 3, Infinity] - 
     11360*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] - 
     10080*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[1, Infinity]*((-25*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (1031*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (163*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((589*S[-1, Infinity]^2)/128 - (1059*S[2, Infinity])/896)*
      S[5, Infinity] - (7789*S[7, Infinity])/7168 + 
     (75*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (150*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/16 - (2617*S[2, Infinity]^2)/
        2240 - 6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/30 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((51*S[-1, Infinity]^5)/280 - 
     (173*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (2251*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (48*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (215*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, 2, 1, -1, 1, -2, Infinity] -> (-5*S[-1, Infinity]^8)/384 - 
   (1053*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (5549*S[2, Infinity]^4)/24500 + ((1639*S[-1, Infinity]^2)/1792 + 
     (12085*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-9915*S[-1, Infinity]*S[2, Infinity])/448 - (104035*S[3, Infinity])/
      7168)*S[5, Infinity] + (193*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-199*S[-1, Infinity]^4)/3360 + 
     (6*S[-1, 1, 1, 1, Infinity])/35) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-1138240*S[-7, -1, Infinity] - 297457*S[5, 3, Infinity] - 
     247040*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     268800*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((887*S[-1, Infinity]^5)/6720 - 
     (649*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (35757*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (391*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-13*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (73*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (2071*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((93*S[-1, Infinity]^2)/64 - (131*S[2, Infinity])/56)*S[5, Infinity] + 
     (66533*S[7, Infinity])/3584 + (53*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (53*S[-5, 1, 1, Infinity] + 32*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((71*S[-1, Infinity]^4)/192 - 
       (41*S[-1, Infinity]^2*S[2, Infinity])/16 - (9879*S[2, Infinity]^2)/
        2240 - (71*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((101*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (69*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 2, 1, -1, 1, 2, Infinity] -> (-43*S[-1, Infinity]^8)/3360 - 
   (843*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (3451451*S[2, Infinity]^4)/392000 + 
   ((-1345*S[-1, Infinity]^2)/112 + (15959*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((651*S[-1, Infinity]^3)/32 - 
     (67517*S[-1, Infinity]*S[2, Infinity])/896 - (126081*S[3, Infinity])/
      3584)*S[5, Infinity] - (149549*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-3331*S[-1, Infinity]^4)/6720 - 
     (589*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((561*S[-1, Infinity]^5)/560 - 
     (2659*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (45727*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (27*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (369*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/240 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4779*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^2*(-101*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-193*S[-5, 1, 1, Infinity] + 
      101*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + S[1, Infinity]*(S[-1, Infinity]^7/105 + 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (3607*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (719*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-1209*S[-1, Infinity]^2)/64 - (387*S[2, Infinity])/16)*
      S[5, Infinity] + (52233*S[7, Infinity])/512 + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/96 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 - (129*S[2, Infinity]^2)/160 + 
       (17*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/40 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(15*S[-5, -1, Infinity] + 
        32*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (-20*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
       128*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-5471360*S[-7, -1, Infinity] - 840969*S[5, 3, Infinity] - 
     584960*S[-5, -1, -1, -1, Infinity] - 490240*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, 1, 1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/384 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (52187*S[2, Infinity]^4)/392000 + 
   ((27*S[-1, Infinity]^2)/448 - (283*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/7 - (8809*S[3, Infinity])/896)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/35 - (691*S[-1, 1, 1, 1, Infinity])/
      140) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (99840*S[-7, -1, Infinity] - 3777*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 17600*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/560 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (1657*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (10*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((31*S[-1, Infinity]^2)/128 + (3645*S[2, Infinity])/896)*
      S[5, Infinity] - (38967*S[7, Infinity])/7168 - 
     (8*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-32*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((-35*S[-1, Infinity]^4)/192 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 + (473*S[2, Infinity]^2)/
        140 + (35*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-83*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[1, 2, 1, 1, -1, 2, Infinity] -> (83*S[-1, Infinity]^8)/40320 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (2918623*S[2, Infinity]^4)/
    784000 + ((-3439*S[-1, Infinity]^2)/1792 - (205*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (8137*S[-1, Infinity]*S[2, Infinity])/224 - (1397*S[3, Infinity])/3584)*
    S[5, Infinity] + (49199*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((397*S[-1, Infinity]^4)/2240 - 
     (701*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-401*S[-1, Infinity]^5)/6720 + 
     (499*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (9167*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (323*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-227*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-491*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/210 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (6151*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (963*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((527*S[-1, Infinity]^2)/128 + (7211*S[2, Infinity])/896)*
      S[5, Infinity] - (432559*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 + (5841*S[2, Infinity]^2)/
        2240 + (21*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/120 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 7*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-9*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-26*S[-5, 1, 1, Infinity] - 145*S[5, -1, -1, Infinity] - 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1878080*S[-7, -1, Infinity] + 341681*S[5, 3, Infinity] + 
     284160*S[-5, -1, -1, -1, Infinity] + 38400*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, 1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/384 + (63*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (2315*S[2, Infinity]^4)/896 + ((99*S[-1, Infinity]^2)/64 + 
     (205*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]*S[2, Infinity])/64 - (1711*S[3, Infinity])/1024)*
    S[5, Infinity] + (6945*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/4 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/240 + (43*S[-1, 1, 1, 1, Infinity])/
      20) + S[2, Infinity]*(-S[-1, Infinity]^6/32 - 
     (5*S[-5, -1, Infinity])/2 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4) + 
   (8000*S[-7, -1, Infinity] - 183*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     1536*S[-1, 1, 1, 1, Infinity]^2)/1024 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (151*S[-1, Infinity]*S[3, Infinity]^2)/128 - 
     (299*S[2, Infinity]*S[5, Infinity])/64 + (3295*S[7, Infinity])/1024 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/4 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (11*S[2, Infinity]^2)/10 - 
       (7*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/20 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - (3*S[-1, 1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((-97*S[-1, Infinity]^5)/960 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (1739*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/8), S[1, 2, 1, 1, 1, 2, Infinity] -> 
  (-484*S[2, Infinity]^4)/175 + 6*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((-6*S[2, Infinity]^2*S[3, Infinity])/5 - 
     S[2, Infinity]*S[5, Infinity] + 10*S[7, Infinity]) + S[5, 3, Infinity], 
 S[1, -1, -3, -1, -1, -1, Infinity] -> (-31*S[-1, Infinity]^8)/1440 + 
   (211*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (3687*S[2, Infinity]^4)/784000 + ((-925*S[-1, Infinity]^2)/224 - 
     (1135*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/384 + (8175*S[-1, Infinity]*S[2, Infinity])/896 + 
     (3093*S[3, Infinity])/3584)*S[5, Infinity] + 
   (110197*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-289*S[-1, Infinity]^4)/1120 - 
     (73*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/280 + 
     (S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (579*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/120 - (277*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/45 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (2363*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (887*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((155*S[-1, Infinity]^2)/16 + (2291*S[2, Infinity])/112)*
      S[5, Infinity] - (15065*S[7, Infinity])/448 + 
     (2*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/8 + (2243*S[2, Infinity]^2)/
        1120 + S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/6 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-67*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-78*S[-5, 1, 1, Infinity] - 71*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (546240*S[-7, -1, Infinity] + 106261*S[5, 3, Infinity] + 
     84480*S[-5, -1, -1, -1, Infinity] + 18560*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, -3, -1, -1, 1, Infinity] -> 
  (-991*S[-1, Infinity]^8)/40320 + (2179*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (79281*S[2, Infinity]^4)/392000 + 
   ((-517*S[-1, Infinity]^2)/896 - (3483*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/96 + 
     (15451*S[-1, Infinity]*S[2, Infinity])/896 + (129*S[3, Infinity])/28)*
    S[5, Infinity] + S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/280 - 
     (123*S[-1, 1, 1, 1, Infinity])/70) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/288 - (193*S[-5, -1, Infinity])/
      56 - (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/3360 + 
     (977*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4801*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-97*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((37*S[-1, Infinity]^7)/2520 - 
     (16*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (6047*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (1667*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((31*S[-1, Infinity]^2)/4 + (2427*S[2, Infinity])/224)*S[5, Infinity] - 
     (130843*S[7, Infinity])/7168 + S[3, Infinity]*
      ((67*S[-1, Infinity]^4)/192 - (67*S[-1, Infinity]^2*S[2, Infinity])/
        32 - (559*S[2, Infinity]^2)/560 - (67*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-145*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (166*S[-5, 1, 1, Infinity] - 121*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (360320*S[-7, -1, Infinity] + 42141*S[5, 3, Infinity] + 
     75520*S[-5, -1, -1, -1, Infinity] + 9600*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, -3, -1, 1, -1, Infinity] -> 
  (-353*S[-1, Infinity]^8)/20160 - (2167*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (26517*S[2, Infinity]^4)/156800 + 
   ((-989*S[-1, Infinity]^2)/224 + (1271*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/192 - 
     (575*S[-1, Infinity]*S[2, Infinity])/56 + (27161*S[3, Infinity])/3584)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-955*S[-1, Infinity]^4)/672 + 
     (72*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((107*S[-1, Infinity]^5)/3360 - (1033*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (15413*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (107*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/72 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(75*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(587*S[-5, -1, Infinity] - 
      504*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((83*S[-1, Infinity]^7)/2520 + 
     (551*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (901*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     (3651*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-651*S[-1, Infinity]^2)/64 - (2407*S[2, Infinity])/448)*
      S[5, Infinity] + (29501*S[7, Infinity])/1792 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/96 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/8 + (345*S[2, Infinity]^2)/224 + 
       (11*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/24 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(113*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-61*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-164352*S[-7, -1, Infinity] - 25483*S[5, 3, Infinity] - 
     16896*S[-5, -1, -1, -1, Infinity] - 13568*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, -3, -1, 1, 1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/2880 + (2207*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (101977*S[2, Infinity]^4)/156800 + 
   ((387*S[-1, Infinity]^2)/112 - (1591*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1085*S[-1, Infinity]^3)/128 - 
     (2229*S[-1, Infinity]*S[2, Infinity])/896 - (2857*S[3, Infinity])/3584)*
    S[5, Infinity] + (312667*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-327*S[-1, Infinity]^4)/448 + 
     (467*S[-1, 1, 1, 1, Infinity])/280) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-1397*S[-1, Infinity]^5)/6720 + (103*S[-1, Infinity]^3*S[2, Infinity])/
      56 + (5641*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (39*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((127*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(75*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-89*S[-5, -1, Infinity] - 
      504*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/35 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (5479*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (67*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((589*S[-1, Infinity]^2)/128 + (1937*S[2, Infinity])/128)*
      S[5, Infinity] - (27809*S[7, Infinity])/1024 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (93*S[2, Infinity]^2)/80 + 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-41*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(19*S[-5, -1, Infinity] - 
        24*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (12*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(206*S[-5, 1, 1, Infinity] - 109*S[5, -1, -1, Infinity] - 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (164352*S[-7, -1, Infinity] + 25483*S[5, 3, Infinity] + 
     16896*S[-5, -1, -1, -1, Infinity] + 13568*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, -3, 1, -1, -1, Infinity] -> 
  (163*S[-1, Infinity]^8)/13440 - (1297*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 + (108989*S[2, Infinity]^4)/196000 + 
   ((-1125*S[-1, Infinity]^2)/896 + (661*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/192 - 
     (5785*S[-1, Infinity]*S[2, Infinity])/896 - (5737*S[3, Infinity])/896)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/336 + 
     (201*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((271*S[-1, Infinity]^5)/1680 - 
     (577*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3427*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (173*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 + (727*S[-5, -1, Infinity])/
      56 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(25*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/1260 + 
     (169*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/672 + 
     (1983*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-217*S[-1, Infinity]^2)/32 - (2511*S[2, Infinity])/224)*
      S[5, Infinity] + (202523*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/64 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (32*S[2, Infinity]^2)/35 + 
       (13*S[-1, 1, 1, 1, Infinity])/8) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((11*S[-1, Infinity]^5)/120 + S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(89*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-96*S[-5, 1, 1, Infinity] + 107*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-522560*S[-7, -1, Infinity] - 63537*S[5, 3, Infinity] - 
     37120*S[-5, -1, -1, -1, Infinity] - 79360*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, -3, 1, -1, 1, Infinity] -> 
  (29*S[-1, Infinity]^8)/3360 + (4003*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (4131*S[2, Infinity]^4)/156800 + 
   ((3853*S[-1, Infinity]^2)/896 - (7277*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/32 + 
     (1935*S[-1, Infinity]*S[2, Infinity])/448 - (1367*S[3, Infinity])/896)*
    S[5, Infinity] + (63409*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((803*S[-1, Infinity]^4)/1120 - 
     (87*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/336 - 
     (83*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (6337*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (401*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/360 - (1257*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-67*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((-7*S[-1, Infinity]^7)/360 - 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (193*S[-1, Infinity]*S[2, Infinity]^3)/96 - 
     (1217*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1023*S[-1, Infinity]^2)/128 + (10637*S[2, Infinity])/896)*
      S[5, Infinity] - (304749*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/32 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (103*S[2, Infinity]^2)/35 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((2*S[-1, Infinity]^5)/15 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-71*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (64*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (148480*S[-7, -1, Infinity] + 19955*S[5, 3, Infinity] + 
     16512*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 57344*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, -1, -3, 1, 1, -1, Infinity] -> 
  (-361*S[-1, Infinity]^8)/20160 - (4469*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (115317*S[2, Infinity]^4)/196000 + 
   ((-1667*S[-1, Infinity]^2)/896 - (429*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 - 
     (1485*S[-1, Infinity]*S[2, Infinity])/448 - (1005*S[3, Infinity])/896)*
    S[5, Infinity] + (34011*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/6720 - 
     (1061*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((169*S[-1, Infinity]^6)/1440 - (50*S[-5, -1, Infinity])/
      7 - (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((653*S[-1, Infinity]^5)/2240 - 
     (127*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (1493*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (53*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(17*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] - 36*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/840 - 
     (4*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (3239*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (153*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((31*S[-1, Infinity]^2)/16 + (813*S[2, Infinity])/224)*S[5, Infinity] - 
     (1591*S[7, Infinity])/3584 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 + (8*S[2, Infinity]^2)/7 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((-19*S[-1, Infinity]^5)/240 - (S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2) + (2*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (60680*S[-7, -1, Infinity] + 6883*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 4480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, -1, -3, 1, 1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/2016 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    336 - (103297*S[2, Infinity]^4)/78400 + 
   ((-229*S[-1, Infinity]^2)/448 - (667*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/96 + 
     (2041*S[-1, Infinity]*S[2, Infinity])/448 + (20527*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/1680 + 
     (13*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((349*S[-1, Infinity]^5)/3360 - 
     (S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1179*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/18 + (111*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(S[-1, Infinity]^7/126 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (367*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (753*S[-1, Infinity]*S[3, Infinity]^2)/448 - 
     (499*S[2, Infinity]*S[5, Infinity])/112 + (66431*S[7, Infinity])/3584 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/16 - (97*S[2, Infinity]^2)/35 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
       S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-19*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (26*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (2880*S[-7, -1, Infinity] + 9721*S[5, 3, Infinity] + 
     4864*S[-5, -1, -1, -1, Infinity] - 6656*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 7168*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, 3, -1, -1, -1, Infinity] -> 
  (289*S[-1, Infinity]^8)/20160 - (353*S[-1, Infinity]^2*S[2, Infinity]^3)/
    210 - (8243*S[2, Infinity]^4)/392000 + 
   ((1409*S[-1, Infinity]^2)/448 + (1319*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/96 - 
     (8053*S[-1, Infinity]*S[2, Infinity])/448 - (69819*S[3, Infinity])/7168)*
    S[5, Infinity] - (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/224 - 
     (53*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*(S[-1, Infinity]^5/70 - 
     (185*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (15247*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (59*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/80 + (159*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-23*S[-1, Infinity]^7)/1260 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/6 + 
     ((-3*S[-1, Infinity]^2*S[2, Infinity])/2 - (2523*S[2, Infinity]^2)/1120)*
      S[3, Infinity] + (24*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-341*S[-1, Infinity]^2)/64 - (7687*S[2, Infinity])/448)*
      S[5, Infinity] + (70123*S[7, Infinity])/1792 + 
     (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((11*S[-1, Infinity]^5)/60 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-29*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-860480*S[-7, -1, Infinity] - 159851*S[5, 3, Infinity] - 
     139520*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 3, -1, -1, 1, Infinity] -> (59*S[-1, Infinity]^8)/5040 + 
   (997*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (968437*S[2, Infinity]^4)/196000 + 
   ((2509*S[-1, Infinity]^2)/448 - (7533*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/12 - 
     (3957*S[-1, Infinity]*S[2, Infinity])/896 + (192237*S[3, Infinity])/
      7168)*S[5, Infinity] + (43245*S[-1, Infinity]*S[7, Infinity])/896 - 
   (435*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((4393*S[-1, Infinity]^4)/6720 - 
     (1033*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/1344 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (28723*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (59*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (585*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/480 - (1541*S[-5, -1, Infinity])/
      56 - (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/840 - 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (263*S[-1, Infinity]*S[2, Infinity]^3)/120 - 
     (13*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((341*S[-1, Infinity]^2)/128 - (4483*S[2, Infinity])/896)*
      S[5, Infinity] - (16367*S[7, Infinity])/1792 + 
     (53*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (9*S[2, Infinity]^2)/14 + 
       3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((13*S[-1, Infinity]^5)/80 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-17*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] - 106*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2509760*S[-7, -1, Infinity] + 401167*S[5, 3, Infinity] + 
     167680*S[-5, -1, -1, -1, Infinity] + 360960*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 3, -1, 1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/1120 + (1157*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (49*S[2, Infinity]^4)/128 + 
   (215*S[-1, Infinity]^2*S[3, Infinity]^2)/256 + 
   ((93*S[-1, Infinity]^3)/32 + (83*S[-1, Infinity]*S[2, Infinity])/8)*
    S[5, Infinity] - (13113*S[-1, Infinity]*S[7, Infinity])/512 - 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   2*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]^2*
    ((89*S[-1, Infinity]^4)/240 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/8 + 
     (63*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (51*S[-1, Infinity]*S[2, Infinity]^2)/16 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/120 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 7*S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/2520 - 
     (51*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (827*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     (1375*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-279*S[-1, Infinity]^2)/32 - (4951*S[2, Infinity])/224)*
      S[5, Infinity] + (83645*S[7, Infinity])/1792 + 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (45*S[-1, Infinity]^2*S[2, Infinity])/16 - (801*S[2, Infinity]^2)/
        280 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + (-11*S[-5, 1, 1, Infinity] + 
       52*S[5, -1, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[1, -1, 3, -1, 1, 1, Infinity] -> (37*S[-1, Infinity]^8)/5760 - 
   (2567*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (121*S[2, Infinity]^4)/800 + ((55*S[-1, Infinity]^2)/256 + 
     (273*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 - (31*S[-1, Infinity]*S[2, Infinity])/8 - 
     (217*S[3, Infinity])/32)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/24 + (33*S[-1, 1, 1, 1, Infinity])/20) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/120 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (15*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[-1, Infinity]^7/210 + 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (787*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     (1935*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-31*S[-1, Infinity]^2)/16 - (1759*S[2, Infinity])/224)*
      S[5, Infinity] + (75499*S[7, Infinity])/3584 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/192 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 - (1321*S[2, Infinity]^2)/
        1120 + (11*S[-1, 1, 1, 1, Infinity])/8) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/40 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (-29*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, 3, 1, -1, -1, Infinity] -> (9*S[-1, Infinity]^8)/1120 + 
   (185*S[-1, Infinity]^2*S[2, Infinity]^3)/96 + (665037*S[2, Infinity]^4)/
    392000 + ((-2395*S[-1, Infinity]^2)/1792 - (213*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/192 + 
     (5689*S[-1, Infinity]*S[2, Infinity])/224 - (26661*S[3, Infinity])/3584)*
    S[5, Infinity] - (90191*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((589*S[-1, Infinity]^4)/2240 + 
     (1047*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-1189*S[-1, Infinity]^5)/6720 + 
     (443*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2409*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (51*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/14) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-19*S[-1, Infinity]^6)/480 + (11*S[-5, -1, Infinity])/28 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/420 - 
     (33*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (1909*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (2157*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((93*S[-1, Infinity]^2)/128 + (397*S[2, Infinity])/896)*S[5, Infinity] - 
     (11955*S[7, Infinity])/3584 + S[3, Infinity]*(-S[-1, Infinity]^4/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (65*S[2, Infinity]^2)/224 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-9*S[-1, Infinity]^5)/80 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-129*S[-5, -1, Infinity] + 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (17*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 71*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (374720*S[-7, -1, Infinity] + 75857*S[5, 3, Infinity] + 
     81920*S[-5, -1, -1, -1, Infinity] - 19200*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 3, 1, -1, 1, Infinity] -> 
  (59*S[-1, Infinity]^8)/10080 + (4351*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (106543*S[2, Infinity]^4)/156800 + 
   ((-323*S[-1, Infinity]^2)/1792 - (5717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/384 + 
     (5451*S[-1, Infinity]*S[2, Infinity])/224 + (19905*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((1459*S[-1, Infinity]^4)/3360 - 
     (227*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/336 + 
     (143*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (4033*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (181*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/720 - (5*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-39*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/504 - 
     (39*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (2561*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (3517*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((713*S[-1, Infinity]^2)/128 + (8261*S[2, Infinity])/896)*
      S[5, Infinity] - (114101*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (43*S[2, Infinity]^2)/224 + 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/120 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-163*S[-5, -1, Infinity] + 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(17*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (59488*S[-7, -1, Infinity] + 11901*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 2048*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[1, -1, 3, 1, 1, -1, Infinity] -> (-389*S[-1, Infinity]^8)/40320 - 
   (3173*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (443479*S[2, Infinity]^4)/784000 + 
   ((-473*S[-1, Infinity]^2)/896 + (905*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((589*S[-1, Infinity]^3)/384 - 
     (319*S[-1, Infinity]*S[2, Infinity])/56 + (8401*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-1103*S[-1, Infinity]^4)/3360 - 
     (4*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/672 - 
     (87*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (921*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (99*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((67*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(241*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(185*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/120 + 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (793*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     (579*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-899*S[-1, Infinity]^2)/128 - (13855*S[2, Infinity])/896)*
      S[5, Infinity] + (268879*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 - 
       (47*S[-1, Infinity]^2*S[2, Infinity])/32 - (83*S[2, Infinity]^2)/35 - 
       (13*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (S[-1, Infinity]^5/30 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(15*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-53*S[-5, 1, 1, Infinity] + 143*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1052480*S[-7, -1, Infinity] - 95691*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] - 139520*S[-5, -1, 1, 1, Infinity] - 
     89600*S[-1, 1, 1, 1, Infinity]^2 + 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 3, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/224 + (1091*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (980939*S[2, Infinity]^4)/784000 + 
   ((99*S[-1, Infinity]^2)/128 - (1849*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-899*S[-1, Infinity]^3)/192 - 
     (1017*S[-1, Infinity]*S[2, Infinity])/128 + (19837*S[3, Infinity])/7168)*
    S[5, Infinity] + (327937*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-127*S[-1, Infinity]^4)/1120 - 
     (109*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/280 - 
     (83*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (757*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      64*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/45 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-821*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (829*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((-7*S[-1, Infinity]^4)/96 + (7*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (31*S[2, Infinity]^2)/112)*S[3, Infinity] + 
     (139*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-31*S[-1, Infinity]^2)/32 + (13*S[2, Infinity])/14)*S[5, Infinity] - 
     (29529*S[7, Infinity])/3584 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/30 + 
       S[-1, 1, 1, 1, 1, Infinity]) - 
     (4*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-9*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] - 145*S[5, -1, -1, Infinity] - 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1379520*S[-7, -1, Infinity] + 243461*S[5, 3, Infinity] + 
     147200*S[-5, -1, -1, -1, Infinity] + 139520*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -3, -1, -1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/6720 + (195*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (997391*S[2, Infinity]^4)/2352000 + 
   ((173*S[-1, Infinity]^2)/448 - (391*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (451*S[-1, Infinity]*S[2, Infinity])/448 + (23139*S[3, Infinity])/3584)*
    S[5, Infinity] - (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/140 - (6*S[-1, 1, 1, 1, Infinity])/
      35) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-93*S[-1, Infinity]^5)/1120 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (51*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/45 + 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (503*S[2, Infinity]^3)/
      3360 - (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (15*S[3, Infinity]^2)/32 + S[2, Infinity]*(S[-1, Infinity]^4/8 + 
       S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-11*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-313*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/1260 + 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (43*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (59*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((155*S[-1, Infinity]^2)/64 + (991*S[2, Infinity])/448)*S[5, Infinity] + 
     (3729*S[7, Infinity])/1792 + (S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - (13*S[2, Infinity]^2)/224 - 
       (7*S[-1, 1, 1, 1, Infinity])/4) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (39360*S[-7, -1, Infinity] + 33141*S[5, 3, Infinity] + 
     20480*S[-5, -1, -1, -1, Infinity] + 19840*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -3, -1, -1, 1, Infinity] -> 
  (-41*S[-1, Infinity]^8)/40320 + (3083*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (861673*S[2, Infinity]^4)/336000 + 
   ((1055*S[-1, Infinity]^2)/448 - (741*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-1891*S[-1, Infinity]^3)/192 + 
     (8627*S[-1, Infinity]*S[2, Infinity])/448 + (9361*S[3, Infinity])/512)*
    S[5, Infinity] + (235257*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/120 + (9*S[-1, 1, 1, 1, Infinity])/
      20) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/64 + 
     (151*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (1123*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-155*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/40 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (1151*S[2, Infinity]^3)/1680 - 
     S[3, Infinity]^2/64 - (279*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((13*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/
        4) + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-473*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((7*S[-1, Infinity]^7)/360 + 
     (71*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (829*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (761*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((775*S[-1, Infinity]^2)/64 + (10173*S[2, Infinity])/896)*
      S[5, Infinity] - (220341*S[7, Infinity])/7168 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/64 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/32 + (731*S[2, Infinity]^2)/
        1120 + (5*S[-1, 1, 1, 1, Infinity])/8) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/120 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) + 
     (8*S[-1, Infinity]*(S[-5, -1, Infinity] + 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (88*S[-5, 1, 1, Infinity] - 129*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(86*S[-5, 1, 1, Infinity] - 131*S[5, -1, -1, Infinity] - 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (185600*S[-7, -1, Infinity] + 36147*S[5, 3, Infinity] + 
     28160*S[-5, -1, -1, -1, Infinity] + 14720*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, 1, -3, -1, 1, -1, Infinity] -> 
  (31*S[-1, Infinity]^8)/4032 - (31*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (367313*S[2, Infinity]^4)/294000 + 
   ((-1101*S[-1, Infinity]^2)/448 + (2927*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1271*S[-1, Infinity]^3)/384 - 
     (4453*S[-1, Infinity]*S[2, Infinity])/896 + (1005*S[3, Infinity])/896)*
    S[5, Infinity] - (135971*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/420 + 
     (113*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/840 - (97*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (6809*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-61*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(115*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 - 
     (31*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (209*S[2, Infinity]^3)/
      672 - (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (173*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/8 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-31*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-104*S[-5, 1, 1, Infinity] + 29*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 + 
     (S[-1, Infinity]^5*S[2, Infinity])/40 - 
     (79*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (531*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-155*S[-1, Infinity]^2)/128 - (617*S[2, Infinity])/896)*
      S[5, Infinity] + (23115*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (223*S[2, Infinity]^2)/560 - 
       S[-1, 1, 1, 1, Infinity]/4) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(9*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-142*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-60680*S[-7, -1, Infinity] - 6883*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] - 5760*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2 + 4480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, 1, -3, -1, 1, 1, Infinity] -> 
  (29*S[-1, Infinity]^8)/3360 + (197*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (104863*S[2, Infinity]^4)/47040 + 
   ((857*S[-1, Infinity]^2)/896 - (195*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-57*S[-1, Infinity]*S[2, Infinity])/14 - 
     (17489*S[3, Infinity])/3584)*S[5, Infinity] + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/1680 + 
     (163*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-109*S[-1, Infinity]^5)/672 + (47*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (2859*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/720 + (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
     (83*S[2, Infinity]^3)/120 + (17*S[3, Infinity]^2)/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + (3*S[-1, 1, 1, 1, Infinity])/
        2) + (-3*S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-153*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/2520 + 
     (S[-1, Infinity]^5*S[2, Infinity])/120 + 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (6*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (37*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-31*S[-1, Infinity]^2)/64 + (1121*S[2, Infinity])/448)*
      S[5, Infinity] - (14107*S[7, Infinity])/896 - 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/96 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 + (3307*S[2, Infinity]^2)/
        1120 - 3*S[-1, 1, 1, 1, Infinity]) + 
     (-19*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-2880*S[-7, -1, Infinity] - 9721*S[5, 3, Infinity] - 
     4864*S[-5, -1, -1, -1, Infinity] + 6656*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 7168*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, 1, -3, 1, -1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/640 - (761*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (702781*S[2, Infinity]^4)/235200 + 
   ((375*S[-1, Infinity]^2)/112 + (6275*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2077*S[-1, Infinity]^3)/384 - 
     (5921*S[-1, Infinity]*S[2, Infinity])/896 - (603*S[3, Infinity])/448)*
    S[5, Infinity] - (163313*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-181*S[-1, Infinity]^4)/3360 + 
     (283*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1007*S[-1, Infinity]^5)/2240 + 
     (223*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (37*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (55*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-67*S[-1, Infinity]^6)/480 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-11*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/720 - 
     (97*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (121*S[2, Infinity]^3)/
      336 + ((-7*S[-1, Infinity]^3)/48 - (11*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (9*S[3, Infinity]^2)/128 - 
     (155*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^4)/32 - S[-1, 1, 1, 1, Infinity]/
        4) - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(95*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/168 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (843*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (31*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-279*S[-1, Infinity]^2)/128 - (1271*S[2, Infinity])/448)*
      S[5, Infinity] - (1151*S[7, Infinity])/3584 + 
     S[3, Infinity]*((65*S[-1, Infinity]^4)/192 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 - (1153*S[2, Infinity]^2)/
        1120 - (9*S[-1, 1, 1, 1, Infinity])/8) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-33*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + 85*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-22752*S[-7, -1, Infinity] - 6525*S[5, 3, Infinity] - 
     7424*S[-5, -1, -1, -1, Infinity] + 1600*S[-5, -1, 1, 1, Infinity] + 
     4928*S[-1, 1, 1, 1, Infinity]^2 - 8960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[1, 1, -3, 1, -1, 1, Infinity] -> 
  (179*S[-1, Infinity]^8)/6720 - (851*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (624209*S[2, Infinity]^4)/1176000 + 
   ((-143*S[-1, Infinity]^2)/896 - (375*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 + 
     (1131*S[-1, Infinity]*S[2, Infinity])/448 - (9083*S[3, Infinity])/3584)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((991*S[-1, Infinity]^4)/3360 - 
     (361*S[-1, 1, 1, 1, Infinity])/140) - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-757*S[-1, Infinity]^5)/3360 + 
     (4*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (51*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (151*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/72 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (41*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 - 
     (7*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (137*S[2, Infinity]^3)/420 + 
     ((-7*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (193*S[3, Infinity]^2)/128 + 2*S[-5, -1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]) - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-11*S[-1, Infinity]^7)/420 + (13*S[-1, Infinity]^3*S[2, Infinity]^2)/
      60 + (19*S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     (929*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((31*S[-1, Infinity]^2)/16 + (1699*S[2, Infinity])/112)*S[5, Infinity] - 
     (10279*S[7, Infinity])/224 - (22*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (43*S[-1, Infinity]^2*S[2, Infinity])/16 + (4111*S[2, Infinity]^2)/
        560 + 9*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/20 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) - 
     (2*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (148800*S[-7, -1, Infinity] - 563*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -3, 1, 1, -1, Infinity] -> 
  (59*S[-1, Infinity]^8)/3360 - (31*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (14327*S[2, Infinity]^4)/8400 + 
   (-S[-1, Infinity]^2/8 + (121*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/64 - (35*S[3, Infinity])/16)*S[5, Infinity] + 
   S[2, Infinity]^2*((91*S[-1, Infinity]^4)/240 - 
     (8*S[-1, 1, 1, 1, Infinity])/5) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/240 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (93*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + 3*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-23*S[-1, Infinity]^6)/180 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 + (43*S[-5, -1, Infinity] - 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/60 + 
     (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (337*S[2, Infinity]^3)/
      1680 + ((-7*S[-1, Infinity]^3)/48 - (5*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] + (9*S[3, Infinity]^2)/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (3*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((-83*S[-1, Infinity]^7)/2520 - 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (51*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     ((-279*S[-1, Infinity]^2)/64 - (287*S[2, Infinity])/64)*S[5, Infinity] + 
     (1525*S[7, Infinity])/128 - 2*S[-1, Infinity]*S[-5, -1, Infinity] - 
     2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/32 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (21*S[2, Infinity]^2)/16 + 
       (13*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/5 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-704*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] + 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/32, S[1, 1, -3, 1, 1, 1, Infinity] -> 
  (5*S[-1, Infinity]^8)/288 + (39*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (16111*S[2, Infinity]^4)/8400 + ((41*S[-1, Infinity]^2)/8 - 
     (71*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 - (225*S[-1, Infinity]*S[2, Infinity])/64 + 
     (35*S[3, Infinity])/16)*S[5, Infinity] + 
   (63*S[-1, Infinity]*S[7, Infinity])/8 + S[2, Infinity]^2*
    ((17*S[-1, Infinity]^4)/60 + (7*S[-1, 1, 1, 1, Infinity])/10) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/80 + 
     (115*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (69*S[-1, Infinity]*S[2, Infinity]^2)/16 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/72 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (85*S[2, Infinity]^3)/336 + 
     ((-7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (41*S[3, Infinity]^2)/128 - 
     (31*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/12 + S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   2*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-5*S[-1, Infinity]^6)/36 + (5*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 - 5*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-47*S[-5, -1, Infinity] + 
       20*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/63 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/40 - 3*S[-1, Infinity]*
      S[3, Infinity]^2 - (93*S[2, Infinity]*S[5, Infinity])/64 + 
     (517*S[7, Infinity])/128 + 2*S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity] + S[3, Infinity]*((43*S[-1, Infinity]^4)/96 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/4 - (201*S[2, Infinity]^2)/80 - 
       (15*S[-1, 1, 1, 1, Infinity])/4) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/30 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]*(-S[-5, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (704*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/32, S[1, 1, 3, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/560 - (221*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (298261*S[2, Infinity]^4)/470400 + 
   ((205*S[-1, Infinity]^2)/448 + (1343*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/32 - 
     (145*S[-1, Infinity]*S[2, Infinity])/224 - (43971*S[3, Infinity])/3584)*
    S[5, Infinity] - (2683*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 + (271*S[-5, -1, Infinity])/
      56) + S[2, Infinity]^2*(-S[-1, Infinity]^4/1120 + 
     (3*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((157*S[-1, Infinity]^5)/1680 - (10*S[-1, Infinity]^3*S[2, Infinity])/
      21 - (23*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/120 - (S[-1, Infinity]^4*S[2, Infinity])/12 - 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (937*S[2, Infinity]^3)/
      1680 + ((7*S[-1, Infinity]^3)/48 + (19*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] - (35*S[3, Infinity]^2)/32 + 
     (279*S[-1, Infinity]*S[5, Infinity])/128 + (5*S[-5, -1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(53*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/420 - 
     (S[-1, Infinity]^5*S[2, Infinity])/120 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     ((-7*S[-1, Infinity]^4)/32 - (7*S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (37*S[2, Infinity]^2)/70)*S[3, Infinity] - 
     (27*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-155*S[-1, Infinity]^2)/64 - (6963*S[2, Infinity])/896)*
      S[5, Infinity] + (3055*S[7, Infinity])/224 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-37*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (67*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-21312*S[-7, -1, Infinity] - 14093*S[5, 3, Infinity] - 
     14848*S[-5, -1, -1, -1, Infinity] - 384*S[-5, -1, 1, 1, Infinity] - 
     28672*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[1, 1, 3, -1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/5040 - 
   (1591*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (4017529*S[2, Infinity]^4)/2352000 + 
   ((-45*S[-1, Infinity]^2)/224 - (25*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/128 + (4491*S[-1, Infinity]*S[2, Infinity])/896 + 
     (5017*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((457*S[-1, Infinity]^4)/3360 - 
     (317*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/560 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (831*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (103*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/360 - 
     (83*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (317*S[2, Infinity]^3)/
      420 + ((7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] + (9*S[3, Infinity]^2)/32 + 
     S[2, Infinity]*(S[-1, Infinity]^4/48 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
     (21*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*(S[-1, Infinity]^7/840 - (S[-1, Infinity]^5*S[2, Infinity])/
      40 - (17*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((217*S[-1, Infinity]^2)/128 + (989*S[2, Infinity])/896)*
      S[5, Infinity] + (5659*S[7, Infinity])/1792 + 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/32 - 
       (S[-1, Infinity]^2*S[2, Infinity])/8 - (1087*S[2, Infinity]^2)/560 + 
       3*S[-1, 1, 1, 1, Infinity]) + (39*S[-5, 1, 1, Infinity] - 
       10*S[5, -1, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (91200*S[-7, -1, Infinity] + 45971*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] - 39040*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 3, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/2016 + 
   (167*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (5420117*S[2, Infinity]^4)/2352000 + 
   ((33*S[-1, Infinity]^2)/448 + (8957*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1147*S[-1, Infinity]^3)/384 - 
     (4001*S[-1, Infinity]*S[2, Infinity])/448 - (19837*S[3, Infinity])/7168)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-167*S[-1, Infinity]^4)/1120 + 
     (291*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/1680 - 
     (27*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (4479*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (737*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(23*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]^2*((11*S[-1, Infinity]^6)/720 + 
     (137*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (2363*S[2, Infinity]^3)/3360 + ((7*S[-1, Infinity]^3)/48 + 
       (25*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (223*S[3, Infinity]^2)/256 + S[2, Infinity]*(-S[-1, Infinity]^4/16 + 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-3*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/180 + 
     (801*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (285*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-1271*S[-1, Infinity]^2)/128 - (14291*S[2, Infinity])/896)*
      S[5, Infinity] + (264163*S[7, Infinity])/7168 - 
     (57*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/24 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 - (3869*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/4) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/24 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-57*S[-5, 1, 1, Infinity] + 111*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1379520*S[-7, -1, Infinity] - 243461*S[5, 3, Infinity] - 
     147200*S[-5, -1, -1, -1, Infinity] - 139520*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 3, -1, 1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/13440 - (1373977*S[2, Infinity]^4)/2352000 + 
   ((2053*S[-1, Infinity]^2)/896 - (1215*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1519*S[-1, Infinity]^3)/384 - 
     (5941*S[-1, Infinity]*S[2, Infinity])/448 - (14477*S[3, Infinity])/7168)*
    S[5, Infinity] + (85751*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-65*S[-1, Infinity]^4)/672 - 
     (10*S[-1, 1, 1, 1, Infinity])/7) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((467*S[-1, Infinity]^5)/6720 - 
     (173*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1809*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/80 + (39*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (677*S[2, Infinity]^3)/3360 + ((7*S[-1, Infinity]^3)/48 - 
       (7*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] - 
     (251*S[3, Infinity]^2)/256 + (31*S[-1, Infinity]*S[5, Infinity])/8 + 
     (5*S[-5, -1, Infinity])/4 + S[2, Infinity]*(-S[-1, Infinity]^4/32 - 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(43*S[-5, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-653*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/2520 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (509*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (97*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-713*S[-1, Infinity]^2)/128 + (819*S[2, Infinity])/128)*
      S[5, Infinity] - (11263*S[7, Infinity])/1024 + 
     S[3, Infinity]*((-37*S[-1, Infinity]^4)/192 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 + (89*S[2, Infinity]^2)/320 - 
       (5*S[-1, 1, 1, 1, Infinity])/8) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(15*S[-5, -1, Infinity] - 
        32*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (7*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] - 
       24*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1052480*S[-7, -1, Infinity] + 95691*S[5, 3, Infinity] + 
     21760*S[-5, -1, -1, -1, Infinity] + 139520*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 3, 1, -1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/3360 + (1903*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (463619*S[2, Infinity]^4)/588000 + 
   ((151*S[-1, Infinity]^2)/448 + (2001*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (3435*S[-1, Infinity]*S[2, Infinity])/896 + (19717*S[3, Infinity])/7168)*
    S[5, Infinity] + (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/1120 + 
     (167*S[-1, 1, 1, 1, Infinity])/140) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/48 + (37*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
     (67*S[2, Infinity]^3)/240 - (3*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 + (67*S[3, Infinity]^2)/256 - 
     (3*S[-5, -1, Infinity])/4 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 + S[2, Infinity]*(S[-1, Infinity]^4/12 + S[-1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/1120 + 
     (87*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (513*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 - (79*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((47*S[-1, Infinity]^7)/2520 + 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/64 - (1619*S[2, Infinity])/448)*
      S[5, Infinity] + (86335*S[7, Infinity])/7168 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/96 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (3183*S[2, Infinity]^2)/
        2240 - (11*S[-1, 1, 1, 1, Infinity])/4) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-191040*S[-7, -1, Infinity] - 39933*S[5, 3, Infinity] - 
     37120*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 3, 1, -1, 1, Infinity] -> 
  (-107*S[-1, Infinity]^8)/20160 + (1171*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (793913*S[2, Infinity]^4)/294000 + 
   ((309*S[-1, Infinity]^2)/128 - (23267*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/48 + 
     (1853*S[-1, Infinity]*S[2, Infinity])/128 + (125645*S[3, Infinity])/
      7168)*S[5, Infinity] + (402351*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((461*S[-1, Infinity]^4)/3360 - 
     (181*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-167*S[-1, Infinity]^5)/1680 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (1097*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (369*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-279*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((-17*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^4*S[2, Infinity])/8 - 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (205*S[2, Infinity]^3)/
      336 - (183*S[3, Infinity]^2)/256 + (155*S[-1, Infinity]*S[5, Infinity])/
      128 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     2*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(-55*S[-5, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/252 + 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (6*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (1405*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((589*S[-1, Infinity]^2)/64 + (15233*S[2, Infinity])/896)*
      S[5, Infinity] - (19751*S[7, Infinity])/448 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (4189*S[2, Infinity]^2)/2240 + 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/10 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) - 
     (2*S[-1, Infinity]*(5*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (57*S[-5, 1, 1, Infinity] - 83*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(108*S[-5, 1, 1, Infinity] - 207*S[5, -1, -1, Infinity] - 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2973120*S[-7, -1, Infinity] + 556827*S[5, 3, Infinity] + 
     413440*S[-5, -1, -1, -1, Infinity] + 231680*S[-5, -1, 1, 1, Infinity] - 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 3, 1, 1, -1, Infinity] -> (67*S[-1, Infinity]^8)/40320 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (619*S[2, Infinity]^4)/1050 + 
   ((225*S[-1, Infinity]^2)/448 + (7*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/384 + (2979*S[-1, Infinity]*S[2, Infinity])/896)*
    S[5, Infinity] - (47051*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/80 + 
     (13*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[-1, 1, 1, 1, Infinity]^2/2 + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/192 - (S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (283*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-47*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/180 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (107*S[2, Infinity]^3)/210 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (7*S[3, Infinity]^2)/64 + (31*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/
        4) - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/280 + 
     (S[-1, Infinity]^5*S[2, Infinity])/60 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-93*S[-1, Infinity]^2)/128 - (2545*S[2, Infinity])/896)*
      S[5, Infinity] + (68555*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 - (87*S[2, Infinity]^2)/560 + 
       S[-1, 1, 1, 1, Infinity]/8) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-27*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, 3, 1, 1, 1, Infinity] -> (47*S[2, Infinity]^4)/525 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 + S[1, Infinity]^2*
    (S[2, Infinity]^3/105 + S[3, Infinity]^2/2) + 
   S[1, Infinity]*((-6*S[2, Infinity]^2*S[3, Infinity])/5 + 
     3*S[7, Infinity]), S[1, -1, -2, -2, -1, -1, Infinity] -> 
  (233*S[-1, Infinity]^8)/5040 - (739*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (3490727*S[2, Infinity]^4)/784000 + 
   ((6213*S[-1, Infinity]^2)/896 + (15581*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-4247*S[-1, Infinity]^3)/384 - 
     (50693*S[-1, Infinity]*S[2, Infinity])/896 - (94999*S[3, Infinity])/
      7168)*S[5, Infinity] + (256967*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (109*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((4439*S[-1, Infinity]^4)/3360 + 
     (447*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/2240 - 
     (1585*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (39859*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/144 - (163*S[-5, -1, Infinity])/
      28 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(50*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/630 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (261*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (235*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((31*S[-1, Infinity]^2)/2 + (95*S[2, Infinity])/2)*S[5, Infinity] - 
     (7645*S[7, Infinity])/64 + (4*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[3, Infinity]*
      ((-17*S[-1, Infinity]^4)/48 + (127*S[-1, Infinity]^2*S[2, Infinity])/
        16 + (327*S[2, Infinity]^2)/40 + (17*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/60 + 10*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 16*(S[5, -1, -1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, 1, 1, Infinity])) + 
   (-70080*S[-7, -1, Infinity] - 270247*S[5, 3, Infinity] - 
     395520*S[-5, -1, -1, -1, Infinity] + 162560*S[-5, -1, 1, 1, Infinity] + 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -2, -2, -1, 1, Infinity] -> 
  (73*S[-1, Infinity]^8)/1920 - (639*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (72791*S[2, Infinity]^4)/49000 + 
   ((1327*S[-1, Infinity]^2)/1792 + (83*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/128 - 
     (3323*S[-1, Infinity]*S[2, Infinity])/448 - (9795*S[3, Infinity])/448)*
    S[5, Infinity] + (16*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((2533*S[-1, Infinity]^4)/2240 - 
     (403*S[-1, 1, 1, 1, Infinity])/280) - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-679360*S[-7, -1, Infinity] - 173717*S[5, 3, Infinity] - 
     81920*S[-5, -1, -1, -1, Infinity] - 133120*S[-5, -1, 1, 1, Infinity] + 
     134400*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/1680 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (7099*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/14) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^6/5 + 
     (146*S[-5, -1, Infinity])/7 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity]) + S[1, Infinity]*((-47*S[-1, Infinity]^7)/1260 - 
     (139*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (519*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (3825*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((31*S[-1, Infinity]^2)/128 + (15889*S[2, Infinity])/896)*
      S[5, Infinity] - (171153*S[7, Infinity])/3584 - 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/12 + 
       (127*S[-1, Infinity]^2*S[2, Infinity])/32 + (2223*S[2, Infinity]^2)/
        280 + 14*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-50*S[-5, 1, 1, Infinity] - 
       99*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14), S[1, -1, -2, -2, 1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/10080 + (2731*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1404741*S[2, Infinity]^4)/784000 + 
   ((-2129*S[-1, Infinity]^2)/896 - (2973*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1519*S[-1, Infinity]^3)/384 + 
     (21341*S[-1, Infinity]*S[2, Infinity])/896 + (125225*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-3761*S[-1, Infinity]^4)/6720 - S[-1, 1, 1, 1, Infinity]/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (14*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-97*S[-1, Infinity]^5)/1680 + 
     (703*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (34267*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (97*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (25*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 + 
     (33*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (8*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (771*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-713*S[-1, Infinity]^2)/128 - (7325*S[2, Infinity])/896)*
      S[5, Infinity] + (23407*S[7, Infinity])/1792 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 - 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 - (863*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/12 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity]) - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(125*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (S[-5, 1, 1, Infinity] + 36*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (370240*S[-7, -1, Infinity] + 223711*S[5, 3, Infinity] + 
     270080*S[-5, -1, -1, -1, Infinity] - 72960*S[-5, -1, 1, 1, Infinity] + 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -2, -2, 1, 1, Infinity] -> (5*S[-1, Infinity]^8)/1344 - 
   (251*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (404413*S[2, Infinity]^4)/196000 + 
   ((241*S[-1, Infinity]^2)/256 - (627*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/48 - 
     (1433*S[-1, Infinity]*S[2, Infinity])/64 + (7885*S[3, Infinity])/3584)*
    S[5, Infinity] + (352829*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/420 - 
     (43*S[-1, 1, 1, 1, Infinity])/35) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/3360 - 
     (165*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (91*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (39*S[-1, 1, 1, 1, 1, Infinity])/14) + 3*S[-1, Infinity]^2*
    (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-79*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/126 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (125*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (177*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((31*S[-1, Infinity]^2)/16 + (6719*S[2, Infinity])/448)*S[5, Infinity] - 
     (259201*S[7, Infinity])/7168 + S[3, Infinity]*
      ((7*S[-1, Infinity]^4)/192 + (35*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (879*S[2, Infinity]^2)/1120 - (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(27*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (45*S[-5, 1, 1, Infinity] - 109*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] - 145*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (176320*S[-7, -1, Infinity] + 23347*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 32640*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -2, 2, -1, -1, Infinity] -> 
  (-479*S[-1, Infinity]^8)/40320 + (437*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (15109*S[2, Infinity]^4)/784000 + 
   ((-417*S[-1, Infinity]^2)/224 - (4987*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 + 
     (29067*S[-1, Infinity]*S[2, Infinity])/896 + (145469*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((-2693*S[-1, Infinity]^4)/1344 - (437*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-551*S[-1, Infinity]^5)/1680 + 
     (353*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (32573*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (355*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/480 - 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-387*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] - 
      784*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((8*S[-1, Infinity]^7)/315 + 
     (93*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (1331*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((7*S[-1, Infinity]^4)/48 + (5*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (1807*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (1311*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-589*S[-1, Infinity]^2)/64 - (6887*S[2, Infinity])/448)*
      S[5, Infinity] + (180591*S[7, Infinity])/7168 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 - 6*S[-1, 1, 1, 1, 1, Infinity]) - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(55*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-108*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (7670*S[-7, -1, Infinity] + 1931*S[5, 3, Infinity] + 
     1480*S[-5, -1, -1, -1, Infinity] + 1040*S[-5, -1, 1, 1, Infinity] + 
     210*S[-1, 1, 1, 1, Infinity]^2 + 3360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/140, S[1, -1, -2, 2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/5040 + (1607*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (143443*S[2, Infinity]^4)/392000 + 
   ((15507*S[-1, Infinity]^2)/1792 - (18187*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1643*S[-1, Infinity]^3)/384 + 
     (17711*S[-1, Infinity]*S[2, Infinity])/448 + (178253*S[3, Infinity])/
      7168)*S[5, Infinity] - (21921*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-1249*S[-1, Infinity]^4)/1680 + 
     (179*S[-1, 1, 1, 1, Infinity])/28) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2127*S[-1, Infinity]^5)/2240 + 
     (2137*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (89899*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (147*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-101*S[-1, Infinity]^6)/1440 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(363*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (2*S[-1, Infinity]^2*(-31*S[-5, -1, Infinity] - 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/1260 + 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (767*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (1683*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-589*S[-1, Infinity]^2)/128 - (21761*S[2, Infinity])/896)*
      S[5, Infinity] + (167019*S[7, Infinity])/3584 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/12 - 
       (197*S[-1, Infinity]^2*S[2, Infinity])/32 - (8887*S[2, Infinity]^2)/
        1120 - (21*S[-1, 1, 1, 1, Infinity])/2) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/6 - 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 
     (8*S[-1, Infinity]*(S[-5, -1, Infinity] + 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (72*S[-5, 1, 1, Infinity] + 121*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (2013120*S[-7, -1, Infinity] + 478571*S[5, 3, Infinity] + 
     357120*S[-5, -1, -1, -1, Infinity] + 162560*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -2, 2, 1, -1, Infinity] -> 
  (713*S[-1, Infinity]^8)/20160 + (509*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (341429*S[2, Infinity]^4)/196000 + 
   ((3241*S[-1, Infinity]^2)/256 - (967*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/32 + 
     (119*S[-1, Infinity]*S[2, Infinity])/16 - (5637*S[3, Infinity])/7168)*
    S[5, Infinity] - (30533*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((10229*S[-1, Infinity]^4)/6720 + 
     (2497*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/60 - (319*S[-5, -1, Infinity])/
      56 + 7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((-311*S[-1, Infinity]^5)/336 + 
     (4225*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5503*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (37*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/36 - 
     (163*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (1537*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (3559*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((589*S[-1, Infinity]^2)/128 - (1559*S[2, Infinity])/896)*
      S[5, Infinity] - (33611*S[7, Infinity])/1792 + 
     S[3, Infinity]*((33*S[-1, Infinity]^4)/64 - 
       (83*S[-1, Infinity]^2*S[2, Infinity])/16 - (2249*S[2, Infinity]^2)/
        560 - (71*S[-1, 1, 1, 1, Infinity])/8) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/80 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-107*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (151*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity] - 
       784*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(135*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (651200*S[-7, -1, Infinity] + 53839*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 81920*S[-5, -1, 1, 1, Infinity] + 
     322560*S[-1, 1, 1, 1, Infinity]^2 - 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -2, 2, 1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1008 - (663*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (18791*S[2, Infinity]^4)/14000 + 
   ((37*S[-1, Infinity]^2)/32 + (23*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/64 - (1047*S[-1, Infinity]*S[2, Infinity])/128 + 
     (99*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((109*S[-1, Infinity]^4)/480 - 
     (89*S[-1, 1, 1, 1, Infinity])/20) - S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/60 + 
     (S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     12*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/9 - (77*S[-5, -1, Infinity])/8 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/63 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (209*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (57*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (511*S[2, Infinity]*S[5, Infinity])/64 - (13965*S[7, Infinity])/512 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/8 + (367*S[2, Infinity]^2)/80 + 
       7*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
      (S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (-17*S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (8000*S[-7, -1, Infinity] - 221*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 2720*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2 + 2560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/640, S[1, -1, 2, -2, -1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/2520 + (6091*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (2762261*S[2, Infinity]^4)/392000 + 
   ((39*S[-1, Infinity]^2)/224 - (8453*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 + 
     (33231*S[-1, Infinity]*S[2, Infinity])/448 - (138499*S[3, Infinity])/
      7168)*S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((6673*S[-1, Infinity]^4)/3360 + 
     (383*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/336 + 
     (1325*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (69779*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (167*S[-1, 1, 1, 1, 1, Infinity])/7) - 4*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(-1041*S[-5, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/120 + 7*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (59*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-8*S[-1, Infinity]^7)/315 - 
     (39*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (737*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (1923*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((31*S[-1, Infinity]^2)/32 - (4735*S[2, Infinity])/224)*S[5, Infinity] + 
     (167019*S[7, Infinity])/3584 + S[3, Infinity]*
      ((7*S[-1, Infinity]^4)/24 - 8*S[-1, Infinity]^2*S[2, Infinity] - 
       (8873*S[2, Infinity]^2)/1120 - (21*S[-1, 1, 1, 1, Infinity])/2) + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/60 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity]) + 
     (4*S[-1, Infinity]*(23*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (72*S[-5, 1, 1, Infinity] + 121*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (3033920*S[-7, -1, Infinity] + 784837*S[5, 3, Infinity] + 
     938240*S[-5, -1, -1, -1, Infinity] - 239360*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 2, -2, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/2520 + (37*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (1364117*S[2, Infinity]^4)/196000 + 
   ((-11835*S[-1, Infinity]^2)/896 - (6269*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1643*S[-1, Infinity]^3)/384 + 
     (21457*S[-1, Infinity]*S[2, Infinity])/448 - (147473*S[3, Infinity])/
      7168)*S[5, Infinity] + (21921*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((3187*S[-1, Infinity]^4)/3360 - 
     (849*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((99*S[-1, Infinity]^5)/140 - 
     (881*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (14137*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (257*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (451*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-341*S[-5, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1260 - 
     (97*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (3769*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^4)/48 - (11*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (267*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (225*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-465*S[-1, Infinity]^2)/64 - (111*S[2, Infinity])/7)*S[5, Infinity] + 
     (180591*S[7, Infinity])/7168 + S[2, Infinity]*(S[-1, Infinity]^5/12 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-29*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-108*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1152320*S[-7, -1, Infinity] + 416833*S[5, 3, Infinity] + 
     687360*S[-5, -1, -1, -1, Infinity] - 346880*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 2, -2, 1, -1, Infinity] -> 
  (-409*S[-1, Infinity]^8)/10080 - (3117*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (493553*S[2, Infinity]^4)/78400 + 
   ((-17811*S[-1, Infinity]^2)/1792 + (797*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/64 - 
     (467*S[-1, Infinity]*S[2, Infinity])/448 - (57075*S[3, Infinity])/1792)*
    S[5, Infinity] - (3973*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-199*S[-1, Infinity]^4)/210 - 
     (487*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/60 + (929*S[-5, -1, Infinity])/28 - 
     7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((457*S[-1, Infinity]^5)/560 - 
     (2231*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (10767*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (185*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(51*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-107*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/36 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (1619*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (2843*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-527*S[-1, Infinity]^2)/64 - (8861*S[2, Infinity])/448)*
      S[5, Infinity] + (218077*S[7, Infinity])/3584 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/16 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 - (43*S[2, Infinity]^2)/35 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/20 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]*(-3*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-26*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-102400*S[-7, -1, Infinity] - 12623*S[5, 3, Infinity] - 
     512*S[-5, -1, -1, -1, Infinity] - 23680*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, Infinity]^2 + 64512*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, -1, 2, -2, 1, 1, Infinity] -> 
  (-191*S[-1, Infinity]^8)/8064 + (1041*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1416963*S[2, Infinity]^4)/784000 + 
   ((-737*S[-1, Infinity]^2)/1792 - (3377*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 + 
     (4679*S[-1, Infinity]*S[2, Infinity])/224 + (2795*S[3, Infinity])/896)*
    S[5, Infinity] + (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-339*S[-1, Infinity]^4)/2240 + 
     (1787*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((949*S[-1, Infinity]^5)/6720 + 
     (95*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (21687*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (225*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/144 + (169*S[-5, -1, Infinity])/
      14 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(S[-1, Infinity]^7/63 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (47*S[-1, Infinity]*S[2, Infinity]^3)/28 - 
     (5521*S[-1, Infinity]*S[3, Infinity]^2)/896 - 
     (4255*S[2, Infinity]*S[5, Infinity])/224 + (210131*S[7, Infinity])/
      3584 + S[3, Infinity]*((49*S[-1, Infinity]^4)/192 - 
       (147*S[-1, Infinity]^2*S[2, Infinity])/32 - (19833*S[2, Infinity]^2)/
        2240 - (77*S[-1, 1, 1, 1, Infinity])/8) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-95*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (81*S[-5, 1, 1, Infinity] + 95*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (2210*S[-7, -1, Infinity] + 2281*S[5, 3, Infinity] + 
     2040*S[-5, -1, -1, -1, Infinity] - 1760*S[-5, -1, 1, 1, Infinity] - 
     1820*S[-1, 1, 1, 1, Infinity]^2 - 1120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/280, S[1, -1, 2, 2, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/280 - (839*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (27813*S[2, Infinity]^4)/12250 + 
   ((303*S[-1, Infinity]^2)/224 + (10057*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1147*S[-1, Infinity]^3)/192 - 
     (27103*S[-1, Infinity]*S[2, Infinity])/448 - (11015*S[3, Infinity])/
      1792)*S[5, Infinity] - (11827*S[-1, Infinity]*S[7, Infinity])/256 + 
   (219*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-1027*S[-1, Infinity]^4)/840 - 
     (142*S[-1, 1, 1, 1, Infinity])/35) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((121*S[-1, Infinity]^5)/560 - 
     (839*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1651*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/36 + (167*S[-5, -1, Infinity])/14 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/630 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (703*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (61*S[-1, Infinity]*S[3, Infinity]^2)/32 + (2023*S[7, Infinity])/64 - 
     4*S[-1, Infinity]*S[-5, -1, Infinity] - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (7*S[2, Infinity]^2)/10 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/30 - 
       4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
     32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-975680*S[-7, -1, Infinity] - 223793*S[5, 3, Infinity] - 
     226560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 2, 2, -1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/720 - (179*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (1750407*S[2, Infinity]^4)/196000 + 
   ((-551*S[-1, Infinity]^2)/896 + (13705*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (16295*S[-1, Infinity]*S[2, Infinity])/224 + (43203*S[3, Infinity])/
      1792)*S[5, Infinity] + (100*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-445*S[-1, Infinity]^4)/336 + 
     (3*S[-1, 1, 1, 1, Infinity])/35) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-234240*S[-7, -1, Infinity] - 81301*S[5, 3, Infinity] - 
     110080*S[-5, -1, -1, -1, Infinity] + 56320*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((53*S[-1, Infinity]^5)/168 - (1795*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (979*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (205*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/60 - (134*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((47*S[-1, Infinity]^7)/1260 + 
     (137*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (107*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     ((341*S[-1, Infinity]^2)/64 + (921*S[2, Infinity])/64)*S[5, Infinity] - 
     (3735*S[7, Infinity])/256 - 3*S[-1, Infinity]*S[-5, -1, Infinity] + 
     S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/8 + (83*S[2, Infinity]^2)/160 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/30 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]), S[1, -1, 2, 2, 1, -1, Infinity] -> 
  (181*S[-1, Infinity]^8)/40320 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 - 
   (34446*S[2, Infinity]^4)/6125 + ((-2101*S[-1, Infinity]^2)/896 - 
     (195*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 - (16445*S[-1, Infinity]*S[2, Infinity])/896 + 
     (64415*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-583*S[-1, Infinity]^4)/6720 - 
     (691*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (14*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((341*S[-1, Infinity]^5)/1344 - 
     (949*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (7213*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (125*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(59*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-157*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 + 
     (33*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/32 + 
     (2433*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((31*S[-1, Infinity]^2)/16 + (2095*S[2, Infinity])/112)*S[5, Infinity] - 
     (272365*S[7, Infinity])/7168 - (2*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[3, Infinity]*
      ((-59*S[-1, Infinity]^4)/192 + (203*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (589*S[2, Infinity]^2)/112 + (59*S[-1, 1, 1, 1, Infinity])/8) + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/48 + 
       (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       6*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(115*S[-5, -1, Infinity] + 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-136*S[-5, 1, 1, Infinity] - 171*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (216320*S[-7, -1, Infinity] + 353*S[5, 3, Infinity] - 
     51200*S[-5, -1, -1, -1, Infinity] + 89280*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 2, 2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/504 + (31*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (90507*S[2, Infinity]^4)/196000 + ((3121*S[-1, Infinity]^2)/896 + 
     (2277*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-775*S[-1, Infinity]^3)/384 + (705*S[-1, Infinity]*S[2, Infinity])/896 + 
     (4733*S[3, Infinity])/3584)*S[5, Infinity] - 
   (36319*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/1120 - 
     (69*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/1680 + 
     (51*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (547*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (87*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2*(-26*S[-5, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-37*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity] + 
      96*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/126 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (321*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (291*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((279*S[-1, Infinity]^2)/64 + (1821*S[2, Infinity])/448)*
      S[5, Infinity] - (4533*S[7, Infinity])/1792 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (611*S[2, Infinity]^2)/224 + 
       (7*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (-S[-1, Infinity]^5/15 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(-S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-12*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-51200*S[-7, -1, Infinity] - 68041*S[5, 3, Infinity] - 
     75520*S[-5, -1, -1, -1, Infinity] + 71040*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -2, -2, -1, -1, Infinity] -> 
  (-101*S[-1, Infinity]^8)/8064 - (201*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (28641*S[2, Infinity]^4)/6125 + 
   ((-327*S[-1, Infinity]^2)/448 - (3369*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/96 - 
     (1375*S[-1, Infinity]*S[2, Infinity])/448 + (51309*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-1049*S[-1, Infinity]^4)/6720 - 
     (1821*S[-1, 1, 1, 1, Infinity])/280) + 
   (19*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/420 - 
     (191*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (15457*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (81*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((143*S[-1, Infinity]^6)/1440 - (449*S[-5, -1, Infinity])/
      28 - (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/30 - 
     (39*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (813*S[2, Infinity]^3)/
      560 - (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (173*S[3, Infinity]^2)/128 + S[2, Infinity]*((5*S[-1, Infinity]^4)/24 - 
       2*S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 
     (3*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (3*S[-1, Infinity]^2*(43*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((8*S[-1, Infinity]^7)/315 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (1537*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-15*S[-1, Infinity]^2*S[2, Infinity])/16 + (3767*S[2, Infinity]^2)/
        2240)*S[3, Infinity] - (225*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((279*S[-1, Infinity]^2)/32 + (6719*S[2, Infinity])/448)*
      S[5, Infinity] - (259201*S[7, Infinity])/7168 + 
     (45*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     (45*S[-5, 1, 1, Infinity] - 109*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1195840*S[-7, -1, Infinity] + 143837*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 229120*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, -2, -1, 1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/2016 - (353*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (989703*S[2, Infinity]^4)/784000 + 
   ((-335*S[-1, Infinity]^2)/896 + (815*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/48 + 
     (53*S[-1, Infinity]*S[2, Infinity])/224 + (25847*S[3, Infinity])/3584)*
    S[5, Infinity] - (352829*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/28 - 
     (13*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/1344 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (347*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (30*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/40 - (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - 
     (233*S[2, Infinity]^3)/560 - (25*S[3, Infinity]^2)/256 - 
     (403*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(S[-1, Infinity]^4/8 - S[-1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-44*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/630 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (283*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (817*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((341*S[-1, Infinity]^2)/64 - (6457*S[2, Infinity])/896)*
      S[5, Infinity] + (23407*S[7, Infinity])/1792 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 + (187*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/10 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-127*S[-5, -1, Infinity] + 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (S[-5, 1, 1, Infinity] + 36*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-388800*S[-7, -1, Infinity] - 84059*S[5, 3, Infinity] - 
     92160*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -2, -2, 1, -1, Infinity] -> (29*S[-1, Infinity]^8)/8064 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (2208629*S[2, Infinity]^4)/
    784000 + ((-101*S[-1, Infinity]^2)/112 + (20501*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/48 - 
     (94*S[-1, Infinity]*S[2, Infinity])/7 - (30069*S[3, Infinity])/7168)*
    S[5, Infinity] - (23907*S[-1, Infinity]*S[7, Infinity])/448 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/560 + 
     (271*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((167*S[-1, Infinity]^5)/6720 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (4917*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (103*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/120 - 
     (S[-1, Infinity]^4*S[2, Infinity])/24 + 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (61*S[2, Infinity]^3)/70 + 
     (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (113*S[3, Infinity]^2)/128 - (31*S[-1, Infinity]*S[5, Infinity])/32 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(305*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (173*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/210 + 
     (S[-1, Infinity]^5*S[2, Infinity])/60 + 
     (537*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((15*S[-1, Infinity]^2*S[2, Infinity])/32 - (237*S[2, Infinity]^2)/140)*
      S[3, Infinity] + (2343*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-31*S[-1, Infinity]^2)/4 - (519*S[2, Infinity])/28)*S[5, Infinity] + 
     (195141*S[7, Infinity])/3584 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (12*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (3*(13*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (S[-1, Infinity]*(-16*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-2584000*S[-7, -1, Infinity] - 462521*S[5, 3, Infinity] - 
     387840*S[-5, -1, -1, -1, Infinity] - 131840*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/1152 - (11*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - 
   (5429*S[2, Infinity]^4)/3200 + ((-49*S[-1, Infinity]^2)/128 - 
     (53*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   (2255*S[3, Infinity]*S[5, Infinity])/512 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (55*S[2, Infinity]^3)/224 - (21*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 + (45*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*(S[-1, Infinity]^4/32 - (3*S[-1, 1, 1, 1, Infinity])/
        4)) + S[1, Infinity]*((7*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     (47*S[2, Infinity]*S[5, Infinity])/32 + (555*S[7, Infinity])/512 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (259*S[2, Infinity]^2)/320 + 
       (7*S[-1, 1, 1, 1, Infinity])/8)) + S[2, Infinity]^2*
    (S[-1, Infinity]^4/12 - (11*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/192 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (77*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (451*S[5, 3, Infinity] - 256*S[-1, 1, 1, 1, Infinity]^2)/512, 
 S[1, 1, -2, 2, -1, -1, Infinity] -> (-19*S[-1, Infinity]^8)/672 - 
   (2473*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (6224367*S[2, Infinity]^4)/784000 + 
   ((-1309*S[-1, Infinity]^2)/128 + (7155*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/48 - 
     (9*S[-1, Infinity]*S[2, Infinity])/16 - (176209*S[3, Infinity])/7168)*
    S[5, Infinity] - (3973*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((235*S[-1, Infinity]^4)/672 - 
     (95*S[-1, 1, 1, 1, Infinity])/28) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((1889*S[-1, Infinity]^5)/2240 - 
     (545*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1567*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (85*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (379*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/180 + 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (10*S[2, Infinity]^3)/7 + 
     ((7*S[-1, Infinity]^3)/24 + (11*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (33*S[3, Infinity]^2)/64 + 
     (31*S[-1, Infinity]*S[5, Infinity])/64 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 2*(S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(49*S[-5, -1, Infinity] + 
      48*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((9*S[-1, Infinity]^6)/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (463*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-107*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/45 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (499*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (3277*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-279*S[-1, Infinity]^2)/32 - (8861*S[2, Infinity])/448)*
      S[5, Infinity] + (218077*S[7, Infinity])/3584 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-23*S[-1, Infinity]^4)/48 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 - (43*S[2, Infinity]^2)/35 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/20 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (4*S[-1, Infinity]*(2*S[-5, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-26*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-2465600*S[-7, -1, Infinity] - 258253*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 503040*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 + 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, 2, -1, 1, Infinity] -> 
  (-67*S[-1, Infinity]^8)/2688 + (557*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1143*S[2, Infinity]^4)/350 + 
   ((75*S[-1, Infinity]^2)/128 + (215*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 + (353*S[-1, Infinity]*S[2, Infinity])/32 - 
     (3961*S[3, Infinity])/512)*S[5, Infinity] - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (23*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/320 + 
     (249*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((41*S[-1, Infinity]^5)/240 + (41*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (2097*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     17*S[-1, 1, 1, 1, 1, Infinity]) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/360 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 2*(-5*S[-5, -1, Infinity] - 
       S[-1, 1, 1, 1, 1, 1, Infinity])) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/360 + (79*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
     (109*S[2, Infinity]^3)/112 + ((7*S[-1, Infinity]^3)/24 + 
       (91*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (513*S[3, Infinity]^2)/256 + S[2, Infinity]*(-S[-1, Infinity]^4/12 + 
       3*S[-1, 1, 1, 1, Infinity]) + (-S[-5, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/630 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (661*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (405*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/32 - (559*S[2, Infinity])/28)*S[5, Infinity] + 
     (210131*S[7, Infinity])/3584 + (81*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[3, Infinity]*((-125*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (11299*S[2, Infinity]^2)/1120 - (21*S[-1, 1, 1, 1, Infinity])/2) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + (81*S[-5, 1, 1, Infinity] + 
       95*S[5, -1, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (-2624*S[-7, -1, Infinity] + 1271*S[5, 3, Infinity] + 
     2048*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] - 
     2816*S[-1, 1, 1, 1, Infinity]^2 + 2048*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[1, 1, -2, 2, 1, -1, Infinity] -> 
  (-61*S[-1, Infinity]^8)/2688 + (6*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (126459*S[2, Infinity]^4)/784000 + 
   ((663*S[-1, Infinity]^2)/896 + (387*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/192 - 
     (25*S[-1, Infinity]*S[2, Infinity])/896 - (3947*S[3, Infinity])/1792)*
    S[5, Infinity] + (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-3749*S[-1, Infinity]^4)/6720 + 
     (1439*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((101*S[-1, Infinity]^5)/1344 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (7737*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*((-13*S[-1, Infinity]^6)/360 + 
     (23*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (51*S[2, Infinity]^3)/160 + 
     ((7*S[-1, Infinity]^3)/24 + (41*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (83*S[3, Infinity]^2)/256 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^4/32 + (13*S[-1, 1, 1, 1, Infinity])/
        4) + (5*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-65*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-475*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/210 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (85*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (515*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((217*S[-1, Infinity]^2)/64 - (653*S[2, Infinity])/224)*S[5, Infinity] + 
     (11321*S[7, Infinity])/1792 + (103*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[3, Infinity]*((-31*S[-1, Infinity]^4)/192 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (537*S[2, Infinity]^2)/140 - 
       (53*S[-1, 1, 1, 1, Infinity])/8) - 2*S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/4 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + (103*S[-5, 1, 1, Infinity] + 
       40*S[5, -1, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (323200*S[-7, -1, Infinity] + 17897*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 56960*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -2, 2, 1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/1152 - (1587*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (436399*S[2, Infinity]^4)/156800 + 
   ((-6039*S[-1, Infinity]^2)/896 - (5479*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 + 
     (4127*S[-1, Infinity]*S[2, Infinity])/896 + (1999*S[3, Infinity])/7168)*
    S[5, Infinity] + (82291*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2167*S[-1, Infinity]^4)/6720 - 
     (563*S[-1, 1, 1, 1, Infinity])/280) + 
   (29*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((1307*S[-1, Infinity]^5)/2240 - 
     (2143*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (23013*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (71*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14) - 4*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((55*S[-1, Infinity]^6)/288 - (13*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (673*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^2*(-4*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/36 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (411*S[2, Infinity]^3)/1120 + 
     ((7*S[-1, Infinity]^3)/24 - (7*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] - (7*S[3, Infinity]^2)/8 + 
     (279*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(S[-1, Infinity]^4/6 - S[-1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-128*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/21 + 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (53*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (2659*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     (3925*S[2, Infinity]*S[5, Infinity])/896 - (37007*S[7, Infinity])/7168 - 
     2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[3, Infinity]*((-29*S[-1, Infinity]^4)/48 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/4 + (5657*S[2, Infinity]^2)/
        2240 + 4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/3 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(53*S[-5, -1, Infinity] + 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-25*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-82624*S[-7, -1, Infinity] + 10005*S[5, 3, Infinity] + 
     23808*S[-5, -1, -1, -1, Infinity] - 32768*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 172032*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 1, 2, -2, -1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/672 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (3754607*S[2, Infinity]^4)/784000 + 
   ((4713*S[-1, Infinity]^2)/448 + (53*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/24 - (1069*S[-1, Infinity]*S[2, Infinity])/224 + 
     (19315*S[3, Infinity])/3584)*S[5, Infinity] - 
   (30533*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-51*S[-1, Infinity]^4)/224 + 
     (265*S[-1, 1, 1, 1, Infinity])/28) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-65*S[-1, Infinity]^5)/84 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (11527*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (201*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/40 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-727*S[-5, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/180 - 
     (53*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - S[2, Infinity]^3/28 + 
     ((-7*S[-1, Infinity]^3)/24 + (25*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (69*S[3, Infinity]^2)/64 + 
     (403*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/8 + 3*S[-1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     4*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(-241*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/45 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (185*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (17*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((93*S[-1, Infinity]^2)/64 - (1559*S[2, Infinity])/896)*S[5, Infinity] - 
     (33611*S[7, Infinity])/1792 + S[3, Infinity]*((5*S[-1, Infinity]^4)/8 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/8 - (1171*S[2, Infinity]^2)/
        560 - (9*S[-1, 1, 1, 1, Infinity])/2) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (6*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (151*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity] - 
       784*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(135*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (491200*S[-7, -1, Infinity] - 7331*S[5, 3, Infinity] - 
     79360*S[-5, -1, -1, -1, Infinity] + 137600*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 - 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 2, -2, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/504 - (2509*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (372769*S[2, Infinity]^4)/784000 + 
   ((171*S[-1, Infinity]^2)/448 + (169*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/128 - 
     (9249*S[-1, Infinity]*S[2, Infinity])/896 - (9995*S[3, Infinity])/3584)*
    S[5, Infinity] + (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/3360 - 
     (13*S[-1, 1, 1, 1, Infinity])/140) - S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/112 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (387*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/180 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (15*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (113*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (101*S[2, Infinity]^3)/560 + ((-7*S[-1, Infinity]^3)/24 - 
       (7*S[-1, Infinity]*S[2, Infinity])/8)*S[3, Infinity] - 
     (99*S[3, Infinity]^2)/64 + (7*S[-5, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/630 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (85*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-279*S[-1, Infinity]^2)/128 + (743*S[2, Infinity])/128)*
      S[5, Infinity] - (13965*S[7, Infinity])/512 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 + 2*S[-1, Infinity]^2*
        S[2, Infinity] + (487*S[2, Infinity]^2)/80 + 
       7*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/15 + 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
     (-17*S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-98240*S[-7, -1, Infinity] - 13497*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 8320*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 2, -2, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/672 + (167*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (554389*S[2, Infinity]^4)/392000 + 
   ((501*S[-1, Infinity]^2)/896 - (2741*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/384 + 
     (5023*S[-1, Infinity]*S[2, Infinity])/448 + (52065*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((171*S[-1, Infinity]^4)/560 - 
     (93*S[-1, 1, 1, 1, Infinity])/70) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/560 + 
     (221*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (18437*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (123*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/120 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-113*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-101*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*((13*S[-1, Infinity]^6)/360 + 
     (73*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (67*S[2, Infinity]^3)/
      140 + ((-7*S[-1, Infinity]^3)/24 + (13*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (7*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/8 - S[-1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (-5*S[-5, -1, Infinity] + 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/210 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (499*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (125*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/128 + (3925*S[2, Infinity])/896)*
      S[5, Infinity] - (37007*S[7, Infinity])/7168 - 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/48 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (5657*S[2, Infinity]^2)/
        2240 + 4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/4 - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-25*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (429760*S[-7, -1, Infinity] + 115473*S[5, 3, Infinity] + 
     93440*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 2, -2, 1, 1, Infinity] -> 
  (29*S[-1, Infinity]^8)/1152 + (993*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (884333*S[2, Infinity]^4)/392000 + 
   ((6039*S[-1, Infinity]^2)/896 + (2553*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/192 + 
     (1515*S[-1, Infinity]*S[2, Infinity])/896 + (21619*S[3, Infinity])/7168)*
    S[5, Infinity] - (82291*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (29*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((221*S[-1, Infinity]^4)/840 + 
     (481*S[-1, 1, 1, 1, Infinity])/140) + 4*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-1307*S[-1, Infinity]^5)/2240 + (2143*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (28599*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (71*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/36 + (7*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (69*S[2, Infinity]^3)/1120 + ((-7*S[-1, Infinity]^3)/24 + 
       (49*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (137*S[3, Infinity]^2)/256 + (31*S[-1, Infinity]*S[5, Infinity])/32 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-19*S[-1, Infinity]^4)/96 + 
       (7*S[-1, 1, 1, 1, Infinity])/4) + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (4*S[-1, Infinity]^2*(-4*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-55*S[-1, Infinity]^6)/288 + 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-491*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/21 - 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/4 - 
     (1731*S[-1, Infinity]*S[3, Infinity]^2)/448 - 
     (653*S[2, Infinity]*S[5, Infinity])/224 + (11321*S[7, Infinity])/1792 + 
     S[3, Infinity]*((41*S[-1, Infinity]^4)/64 - 
       (95*S[-1, Infinity]^2*S[2, Infinity])/32 - (1297*S[2, Infinity]^2)/
        448 - (39*S[-1, 1, 1, 1, Infinity])/8) + 2*S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/3 - 
       4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]*(5*S[-5, -1, Infinity] + 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (103*S[-5, 1, 1, Infinity] + 40*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(128*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (413120*S[-7, -1, Infinity] - 65901*S[5, 3, Infinity] - 
     119040*S[-5, -1, -1, -1, Infinity] + 163840*S[-5, -1, 1, 1, Infinity] + 
     89600*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 2, 2, -1, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/504 + (451*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (1109103*S[2, Infinity]^4)/784000 + 
   ((241*S[-1, Infinity]^2)/448 - (325*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (1851*S[-1, Infinity]*S[2, Infinity])/224 + (21151*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/672 - 
     (39*S[-1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-51*S[-1, Infinity]^5)/560 + 
     (51*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (11229*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (153*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 - (437*S[-5, -1, Infinity])/56 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/30 + 
     (93*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (661*S[2, Infinity]^3)/
      1120 + (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (119*S[3, Infinity]^2)/128 + S[2, Infinity]*(-S[-1, Infinity]^4/12 - 
       S[-1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-19*S[-5, -1, Infinity] + 
       48*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-8*S[-1, Infinity]^7)/315 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (1009*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-93*S[-1, Infinity]^2)/64 + (1821*S[2, Infinity])/448)*
      S[5, Infinity] - (4533*S[7, Infinity])/1792 - 
     (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/8 + (611*S[2, Infinity]^2)/224 + 
       (7*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/60 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-12*S[-5, 1, 1, Infinity] - 
       33*S[5, -1, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (81920*S[-7, -1, Infinity] + 15977*S[5, 3, Infinity] + 
     16000*S[-5, -1, -1, -1, Infinity] + 17600*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 2, 2, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/2016 + (109*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (2344367*S[2, Infinity]^4)/784000 + 
   ((-2063*S[-1, Infinity]^2)/896 - (471*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((775*S[-1, Infinity]^3)/384 - 
     (5029*S[-1, Infinity]*S[2, Infinity])/896 - (445*S[3, Infinity])/896)*
    S[5, Infinity] + (36319*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((289*S[-1, Infinity]^4)/3360 - 
     (429*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/280 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (2001*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (89*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/40 + 
     (33*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (1453*S[2, Infinity]^3)/
      1120 - (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (5*S[3, Infinity]^2)/8 - (31*S[-1, Infinity]*S[5, Infinity])/64 - 
     2*S[-5, -1, Infinity] - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/360 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(-10*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(23*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/630 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (2647*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (641*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-155*S[-1, Infinity]^2)/128 + (18713*S[2, Infinity])/896)*
      S[5, Infinity] - (272365*S[7, Infinity])/7168 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/4 + (1907*S[2, Infinity]^2)/
        1120 + 3*S[-1, 1, 1, 1, Infinity]) - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/10 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(157*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-136*S[-5, 1, 1, Infinity] - 171*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-16*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] - 
      96*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (800*S[-7, -1, Infinity] + 2899*S[5, 3, Infinity] + 
     3280*S[-5, -1, -1, -1, Infinity] - 3000*S[-5, -1, 1, 1, Infinity] - 
     22400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[1, 1, 2, 2, 1, -1, Infinity] -> (-29*S[-1, Infinity]^8)/8064 - 
   (4303*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (876397*S[2, Infinity]^4)/196000 + 
   ((-4253*S[-1, Infinity]^2)/896 - (4141*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/128 + 
     (825*S[-1, Infinity]*S[2, Infinity])/896 - (28179*S[3, Infinity])/1792)*
    S[5, Infinity] + (141153*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/35 - 
     (463*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((1487*S[-1, Infinity]^5)/6720 - 
     (1193*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2789*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (94*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (773*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/120 - 
     (203*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (149*S[2, Infinity]^3)/70 - (69*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 - (41*S[3, Infinity]^2)/128 - 
     (279*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((13*S[-1, Infinity]^4)/96 - (9*S[-1, 1, 1, 1, Infinity])/
        4) + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(73*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/210 - (S[-1, Infinity]^5*S[2, Infinity])/
      60 - (207*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (1007*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((465*S[-1, Infinity]^2)/128 + (7635*S[2, Infinity])/448)*
      S[5, Infinity] - (205665*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/32 + (639*S[2, Infinity]^2)/
        280 + (21*S[-1, 1, 1, 1, Infinity])/8) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(47*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (3*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (23360*S[-7, -1, Infinity] + 29593*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 2, 2, 1, 1, Infinity] -> 
  (862*S[2, Infinity]^4)/175 - S[2, Infinity]*S[3, Infinity]^2 + 
   S[1, Infinity]^2*((4*S[2, Infinity]^3)/7 - S[3, Infinity]^2) - 
   20*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((24*S[2, Infinity]^2*S[3, Infinity])/5 - 18*S[7, Infinity]) - 
   4*S[5, 3, Infinity], S[1, -1, -2, -1, -2, -1, Infinity] -> 
  (-601*S[-1, Infinity]^8)/10080 - (7359*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4501643*S[2, Infinity]^4)/784000 + 
   ((-4835*S[-1, Infinity]^2)/224 + (37719*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((6293*S[-1, Infinity]^3)/128 + 
     (3809*S[-1, Infinity]*S[2, Infinity])/448 - (52333*S[3, Infinity])/7168)*
    S[5, Infinity] - (854529*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-6499*S[-1, Infinity]^4)/3360 - 
     (263*S[-1, 1, 1, 1, Infinity])/140) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((543*S[-1, Infinity]^5)/2240 - 
     (353*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (62057*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (937*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/5 + (1329*S[-5, -1, Infinity])/28 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(1373*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((4*S[-1, Infinity]^7)/63 + 
     (111*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (257*S[-1, Infinity]*S[2, Infinity]^3)/70 + 
     (25247*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-527*S[-1, Infinity]^2)/8 - (6981*S[2, Infinity])/56)*S[5, Infinity] + 
     (147121*S[7, Infinity])/448 + S[3, Infinity]*((5*S[-1, Infinity]^4)/16 - 
       (45*S[-1, Infinity]^2*S[2, Infinity])/16 - (4163*S[2, Infinity]^2)/
        280 - (15*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-2*S[-1, Infinity]^5)/15 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(-31*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (4*(46*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-597*S[-5, 1, 1, Infinity] + 
      824*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-7060800*S[-7, -1, Infinity] - 1024757*S[5, 3, Infinity] - 
     695040*S[-5, -1, -1, -1, Infinity] - 541440*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, Infinity]^2 + 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -2, -1, -2, 1, Infinity] -> 
  (-293*S[-1, Infinity]^8)/8064 - (507*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (947047*S[2, Infinity]^4)/112000 + 
   ((277*S[-1, Infinity]^2)/128 - (1485*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/192 - 
     (977*S[-1, Infinity]*S[2, Infinity])/128 - (3157*S[3, Infinity])/1024)*
    S[5, Infinity] + S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/960 - 
     (351*S[-1, 1, 1, 1, Infinity])/40) + 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/64 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (5*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((301*S[-1, Infinity]^6)/1440 - (95*S[-5, -1, Infinity])/
      2 - (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(19*S[-5, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(S[-1, Infinity]^7/63 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (297*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (1367*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-341*S[-1, Infinity]^2)/64 - (5655*S[2, Infinity])/224)*
      S[5, Infinity] + (322439*S[7, Infinity])/3584 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 - 
       (39*S[-1, Infinity]^2*S[2, Infinity])/16 - (3273*S[2, Infinity]^2)/
        560 - 6*S[-1, 1, 1, 1, Infinity]) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(75*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-139*S[-5, 1, 1, Infinity] + 344*S[5, -1, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (489280*S[-7, -1, Infinity] + 65733*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 96000*S[-5, -1, 1, 1, Infinity] - 
     69120*S[-1, 1, 1, 1, Infinity]^2 - 204800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, -2, -1, 2, -1, Infinity] -> 
  (103*S[-1, Infinity]^8)/2520 + (5641*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1489853*S[2, Infinity]^4)/392000 + 
   ((6959*S[-1, Infinity]^2)/896 - (9937*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/24 + 
     (36227*S[-1, Infinity]*S[2, Infinity])/896 - (74265*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((3581*S[-1, Infinity]^4)/1680 - (13*S[-1, 1, 1, 1, Infinity])/7) - 
   (32*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/2240 + 
     (793*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (56929*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (347*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/15 - 
     (473*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (65*S[-1, Infinity]*S[2, Infinity]^3)/14 - 
     (571*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((775*S[-1, Infinity]^2)/64 - (2241*S[2, Infinity])/448)*
      S[5, Infinity] + (4335*S[7, Infinity])/112 + 
     (-9*S[-5, 1, 1, Infinity] + 124*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (67*S[-1, Infinity]^2*S[2, Infinity])/16 - (4609*S[2, Infinity]^2)/
        1120 - (5*S[-1, 1, 1, 1, Infinity])/2) + 16*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((9*S[-1, Infinity]^5)/20 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 16*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(137*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(527*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-8*S[-1, Infinity]^6)/45 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1283*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5055040*S[-7, -1, Infinity] + 781209*S[5, 3, Infinity] + 
     482560*S[-5, -1, -1, -1, Infinity] + 467200*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -2, -1, 2, 1, Infinity] -> (89*S[-1, Infinity]^8)/6720 + 
   (283*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (87057*S[2, Infinity]^4)/24500 + ((-505*S[-1, Infinity]^2)/32 + 
     (1181*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((12431*S[-1, Infinity]^3)/384 + (4123*S[-1, Infinity]*S[2, Infinity])/
      64 + (140307*S[3, Infinity])/7168)*S[5, Infinity] - 
   (726561*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((373*S[-1, Infinity]^4)/1680 + 
     (117*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((233*S[-1, Infinity]^5)/1120 - (629*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (503*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (733*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(345*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] + 
      288*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   (3*S[-1, Infinity]*(193*S[-5, 1, 1, Infinity] - 
      192*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*((-2*S[-1, Infinity]^7)/105 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (61*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (1753*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-1209*S[-1, Infinity]^2)/32 - (22269*S[2, Infinity])/224)*
      S[5, Infinity] + (865281*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/32 - (21143*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/8) + S[2, Infinity]*
      ((17*S[-1, Infinity]^5)/240 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(81*S[-5, -1, Infinity] - 
        448*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-597*S[-5, 1, 1, Infinity] + 824*S[5, -1, -1, Infinity] + 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-3682880*S[-7, -1, Infinity] - 330161*S[5, 3, Infinity] - 
     103680*S[-5, -1, -1, -1, Infinity] - 416000*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -2, 1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/1152 + (1737*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (129653*S[2, Infinity]^4)/156800 + 
   ((905*S[-1, Infinity]^2)/1792 + (55*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((219*S[-1, Infinity]*S[2, Infinity])/896 + 
     (13635*S[3, Infinity])/3584)*S[5, Infinity] - 
   (125*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((125*S[-1, Infinity]^4)/1344 + 
     S[-1, 1, 1, 1, Infinity]/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-6080*S[-7, -1, Infinity] + 1643*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     896*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (37*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (4225*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((465*S[-1, Infinity]^2)/64 + (4805*S[2, Infinity])/448)*
      S[5, Infinity] - (26745*S[7, Infinity])/1792 + 
     (55*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (5*(11*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 + (103*S[2, Infinity]^2)/448 - 
       (5*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (S[-1, Infinity]^5/16 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2)) + S[3, Infinity]*((3*S[-1, Infinity]^5)/448 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (627*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - (25*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[1, -1, -2, 1, -2, 1, Infinity] -> 
  (-197*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (363649*S[2, Infinity]^4)/784000 + 
   ((-5287*S[-1, Infinity]^2)/1792 + (349*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((1085*S[-1, Infinity]^3)/128 - 
     (1131*S[-1, Infinity]*S[2, Infinity])/224 - (51741*S[3, Infinity])/3584)*
    S[5, Infinity] - (35085*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (265*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (1097*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   (33*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 + (-881600*S[-7, -1, Infinity] - 147283*S[5, 3, Infinity] - 
     110080*S[-5, -1, -1, -1, Infinity] - 104960*S[-5, -1, 1, 1, Infinity])/
    17920 + S[1, Infinity]*((-103*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (265*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-93*S[-1, Infinity]^2)/64 - (1189*S[2, Infinity])/448)*
      S[5, Infinity] + (2085*S[7, Infinity])/448 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (11*S[-5, 1, 1, Infinity] + 32*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 - (2521*S[2, Infinity]^2)/
        2240 - (5*S[-1, 1, 1, 1, Infinity])/8)) + 
   S[2, Infinity]^2*((-307*S[-1, Infinity]^4)/6720 + 
     (307*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((207*S[-1, Infinity]^5)/2240 - 
     (207*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (10821*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (621*S[-1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, -2, 1, 2, -1, Infinity] -> S[-1, Infinity]^8/192 - 
   (222*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (227293*S[2, Infinity]^4)/
    196000 + ((-415*S[-1, Infinity]^2)/112 + (18775*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/128 - 
     (15647*S[-1, Infinity]*S[2, Infinity])/448 - (99279*S[3, Infinity])/
      7168)*S[5, Infinity] + (23745*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (335*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (5*S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-3383*S[-1, Infinity]^4)/6720 + 
     (23*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-1215680*S[-7, -1, Infinity] - 402607*S[5, 3, Infinity] - 
     428800*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (4181*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (6655*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     (7285*S[2, Infinity]*S[5, Infinity])/448 - (249357*S[7, Infinity])/
      7168 - (65*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (155*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((-65*S[-1, Infinity]^4)/192 + 
       (191*S[-1, Infinity]^2*S[2, Infinity])/32 + (5741*S[2, Infinity]^2)/
        1120 + (65*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/4 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((1649*S[-1, Infinity]^5)/6720 - (381*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (48793*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/160 + (235*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[1, -1, -2, 1, 2, 1, Infinity] -> 
  (-1111*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (126523*S[2, Infinity]^4)/392000 + 
   ((425*S[-1, Infinity]^2)/896 + (7625*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (10665*S[-1, Infinity]*S[2, Infinity])/896 - (79327*S[3, Infinity])/
      7168)*S[5, Infinity] + (125*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (55*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   (-516160*S[-7, -1, Infinity] - 302061*S[5, 3, Infinity] - 
     185600*S[-5, -1, -1, -1, Infinity] + 51200*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/210 - 
     (52*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    ((29*S[-1, Infinity]*S[2, Infinity]^3)/32 + 
     (2055*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     (655*S[2, Infinity]*S[5, Infinity])/56 - (201867*S[7, Infinity])/7168 - 
     (145*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (5*(8*S[-5, 1, 1, Infinity] + 29*S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (10811*S[2, Infinity]^2)/2240 + 
       2*S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    (-S[-1, Infinity]^5/140 + (S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (38223*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 2, -1, -2, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/560 - (1415*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1197489*S[2, Infinity]^4)/392000 + 
   ((-16319*S[-1, Infinity]^2)/1792 + (26293*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/24 - 
     (32929*S[-1, Infinity]*S[2, Infinity])/448 + (292231*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-2047*S[-1, Infinity]^4)/672 - (27*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (32*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((367*S[-1, Infinity]^5)/1120 - 
     (1329*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (88947*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (369*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(S[-1, Infinity]^7/15 + 
     (653*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (1733*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (3729*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-961*S[-1, Infinity]^2)/64 + (5207*S[2, Infinity])/448)*
      S[5, Infinity] - (6375*S[7, Infinity])/112 - 
     (13*(5*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/24 + 
       (65*S[-1, Infinity]^2*S[2, Infinity])/8 + (4979*S[2, Infinity]^2)/
        560 + 13*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/10 + 12*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 16*S[-1, 1, 1, 1, 1, Infinity]) - 
     16*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(485*S[-5, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/180 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (6*(31*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(1903*S[-5, -1, Infinity] - 
      2016*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-5234240*S[-7, -1, Infinity] - 905753*S[5, 3, Infinity] - 
     840960*S[-5, -1, -1, -1, Infinity] - 108800*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 2, -1, -2, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/2520 + (S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (2069933*S[2, Infinity]^4)/392000 + 
   ((33241*S[-1, Infinity]^2)/1792 - (551*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-14477*S[-1, Infinity]^3)/384 - 
     (3935*S[-1, Infinity]*S[2, Infinity])/56 - (62219*S[3, Infinity])/7168)*
    S[5, Infinity] + (1436307*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-297*S[-1, Infinity]^4)/1120 - 
     (509*S[-1, 1, 1, 1, Infinity])/140) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-267*S[-1, Infinity]^5)/1120 + 
     (429*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2253*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (801*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((4*S[-1, Infinity]^6)/45 - 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(199*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-169*S[-5, -1, Infinity] - 
      2016*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/105 + 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (517*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (3231*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((651*S[-1, Infinity]^2)/16 + (47339*S[2, Infinity])/448)*
      S[5, Infinity] - (1844307*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 + (25433*S[2, Infinity]^2)/
        2240 + (5*S[-1, 1, 1, 1, Infinity])/2) - 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-2*S[-1, Infinity]^5)/15 + 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(137*S[-5, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (566*S[-5, 1, 1, Infinity] - 897*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]*(232*S[-5, 1, 1, Infinity] - 
      195*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (4546240*S[-7, -1, Infinity] + 346839*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 705280*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 2, -1, 2, -1, Infinity] -> (59*S[-1, Infinity]^8)/1120 + 
   (9993*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (49099*S[2, Infinity]^4)/49000 + ((5431*S[-1, Infinity]^2)/224 - 
     (12749*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-6479*S[-1, Infinity]^3)/128 + (26501*S[-1, Infinity]*S[2, Infinity])/
      896 - (3411*S[3, Infinity])/896)*S[5, Infinity] + 
   (1637331*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((971*S[-1, Infinity]^4)/336 + 
     (103*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-313*S[-1, Infinity]^5)/560 + (1399*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (10687*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (309*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/60 - (533*S[-5, -1, Infinity])/
      14 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(-311*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-4*S[-1, Infinity]^7)/63 - 
     (171*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (1647*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (7507*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((527*S[-1, Infinity]^2)/8 + (6323*S[2, Infinity])/56)*S[5, Infinity] - 
     (135487*S[7, Infinity])/448 + S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/8 + (5407*S[2, Infinity]^2)/560 - 
       3*S[-1, 1, 1, 1, Infinity]) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((23*S[-1, Infinity]^5)/60 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-263*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (4*(53*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(678*S[-5, 1, 1, Infinity] - 785*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (61070*S[-7, -1, Infinity] + 10067*S[5, 3, Infinity] + 
     8320*S[-5, -1, -1, -1, Infinity] + 2600*S[-5, -1, 1, 1, Infinity] + 
     1680*S[-1, 1, 1, 1, Infinity]^2 - 33600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/280, S[1, -1, 2, -1, 2, 1, Infinity] -> 
  (265*S[-1, Infinity]^8)/8064 + (1229*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (401059*S[2, Infinity]^4)/39200 + 
   ((-283*S[-1, Infinity]^2)/112 + (825*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1271*S[-1, Infinity]^3)/192 + 
     (21953*S[-1, Infinity]*S[2, Infinity])/896 + (1363*S[3, Infinity])/1792)*
    S[5, Infinity] - (47*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((369*S[-1, Infinity]^4)/2240 + 
     (2743*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-157*S[-1, Infinity]^5)/2240 + 
     (101*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2025*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-143*S[-1, Infinity]^6)/720 + (1567*S[-5, -1, Infinity])/
      28 + (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(31*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/63 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (1063*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (727*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((341*S[-1, Infinity]^2)/64 + (8509*S[2, Infinity])/448)*
      S[5, Infinity] - (530461*S[7, Infinity])/7168 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/64 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 + (279*S[2, Infinity]^2)/70 + 
       (27*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (-S[-1, Infinity]^5/240 + (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - 8*S[-1, 1, 1, 1, 1, Infinity]) - 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (2*S[-1, Infinity]*(19*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (170*S[-5, 1, 1, Infinity] - 271*S[5, -1, -1, Infinity] - 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-316096*S[-7, -1, Infinity] - 28513*S[5, 3, Infinity] + 
     17408*S[-5, -1, -1, -1, Infinity] - 83712*S[-5, -1, 1, 1, Infinity] + 
     41216*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, 2, 1, -2, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/384 - (61*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (636611*S[2, Infinity]^4)/112000 + 
   ((-6929*S[-1, Infinity]^2)/1792 - (65*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 + 
     (25677*S[-1, Infinity]*S[2, Infinity])/896 - (8649*S[3, Infinity])/256)*
    S[5, Infinity] + (79785*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (157*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (3*S[-1, Infinity]*(10*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((169*S[-1, Infinity]^4)/240 - 
     (113*S[-1, 1, 1, 1, Infinity])/20) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 + (181*S[-5, -1, Infinity])/8 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (3520*S[-7, -1, Infinity] + 3689*S[5, 3, Infinity] + 
     10880*S[-5, -1, -1, -1, Infinity] - 13760*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((-9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (185*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (2483*S[-1, Infinity]*S[3, Infinity]^2)/896 - 
     (3995*S[2, Infinity]*S[5, Infinity])/448 + (138897*S[7, Infinity])/
      7168 + (16*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (85*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 - 
       (33*S[-1, Infinity]^2*S[2, Infinity])/8 - (2613*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/16 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2)) + 
   S[3, Infinity]*((457*S[-1, Infinity]^5)/960 + 
     (35*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (377*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/2), S[1, -1, 2, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/128 + (181*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (849901*S[2, Infinity]^4)/392000 + 
   ((-3233*S[-1, Infinity]^2)/1792 - (8*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/64 + (9675*S[-1, Infinity]*S[2, Infinity])/896 - 
     (1647*S[3, Infinity])/1792)*S[5, Infinity] - 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]*((-19*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (3683*S[-1, Infinity]*S[3, Infinity]^2)/896 - 
     (4733*S[2, Infinity]*S[5, Infinity])/448 + (109341*S[7, Infinity])/
      3584 + (47*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (115*S[-5, 1, 1, Infinity] + 94*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/2 - (5967*S[2, Infinity]^2)/
        1120 - 6*S[-1, 1, 1, 1, Infinity])) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-2939*S[-1, Infinity]^4)/6720 + 
     (1049*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/32 + (481*S[-5, -1, Infinity])/56 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (3200*S[-7, -1, Infinity] + 36901*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 73600*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((197*S[-1, Infinity]^5)/1344 - 
     (775*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (12799*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (115*S[-1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, 2, 1, 2, -1, Infinity] -> S[-1, Infinity]^8/96 + 
   (1871*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (357139*S[2, Infinity]^4)/392000 + 
   ((4583*S[-1, Infinity]^2)/1792 + (5867*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5475*S[-1, Infinity]*S[2, Infinity])/448 + 
     (8397*S[3, Infinity])/1792)*S[5, Infinity] + 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]*((-697*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (673*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((93*S[-1, Infinity]^2)/64 - (1201*S[2, Infinity])/448)*S[5, Infinity] + 
     (24021*S[7, Infinity])/3584 + (17*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/2 - (2931*S[2, Infinity]^2)/
        1120 - 6*S[-1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-317*S[-1, Infinity]^4)/840 + 
     (319*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/32 - (325*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-36320*S[-7, -1, Infinity] - 11881*S[5, 3, Infinity] - 
     12160*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-2719*S[-1, Infinity]^5)/6720 + 
     (215*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (739*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (69*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, -1, 2, 1, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/384 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (228409*S[2, Infinity]^4)/784000 + 
   ((-5767*S[-1, Infinity]^2)/1792 + (647*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/128 - 
     (2775*S[-1, Infinity]*S[2, Infinity])/448 - (2853*S[3, Infinity])/448)*
    S[5, Infinity] + (6537*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (277*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/4 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/840 + 
     (143*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + (677*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-444800*S[-7, -1, Infinity] - 41023*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 78080*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((-1079*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (587*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-465*S[-1, Infinity]^2)/64 - (317*S[2, Infinity])/224)*
      S[5, Infinity] + (2283*S[7, Infinity])/7168 - 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-58*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/64 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 + (27*S[2, Infinity]^2)/224 + 
       (15*S[-1, 1, 1, 1, Infinity])/8)) + 
   S[3, Infinity]*((139*S[-1, Infinity]^5)/3360 - 
     (181*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (5189*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[1, 1, -2, -1, -2, -1, Infinity] -> (167*S[-1, Infinity]^8)/8064 + 
   (277*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (5162559*S[2, Infinity]^4)/
    784000 + ((-1279*S[-1, Infinity]^2)/896 + (3617*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1457*S[-1, Infinity]^3)/192 + 
     (7177*S[-1, Infinity]*S[2, Infinity])/448 + (7745*S[3, Infinity])/7168)*
    S[5, Infinity] - (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1151*S[-1, Infinity]^4)/6720 + 
     (1641*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-659*S[-1, Infinity]^5)/6720 + 
     (59*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (11119*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (321*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/1440 + (647*S[-5, -1, Infinity])/
      28 - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(233*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/15 + 
     (171*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (239*S[2, Infinity]^3)/
      140 + (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (649*S[3, Infinity]^2)/256 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-7*S[-1, Infinity]^4)/24 + 
       S[-1, 1, 1, 1, Infinity]) + (-13*S[-5, -1, Infinity] + 
       24*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-16*S[-1, Infinity]^7)/315 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-651*S[-1, Infinity]^2)/32 - (1687*S[2, Infinity])/64)*
      S[5, Infinity] + (31133*S[7, Infinity])/512 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/192 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/32 - (63*S[2, Infinity]^2)/64 + 
       (13*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((53*S[-1, Infinity]^5)/240 - (S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-17*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
       128*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-1786560*S[-7, -1, Infinity] - 176431*S[5, 3, Infinity] + 
     78080*S[-5, -1, -1, -1, Infinity] - 364800*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, -1, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/63 + (1153*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (4024421*S[2, Infinity]^4)/784000 + 
   ((5647*S[-1, Infinity]^2)/448 - (45039*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/16 + 
     (7279*S[-1, Infinity]*S[2, Infinity])/896 + (83515*S[3, Infinity])/7168)*
    S[5, Infinity] + (720375*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((79*S[-1, Infinity]^4)/448 + 
     (99*S[-1, 1, 1, 1, Infinity])/56) + S[2, Infinity]*
    (-S[-1, Infinity]^6/10 - (1409*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-3959*S[-1, Infinity]^5)/6720 + 
     (1021*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (99681*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1719*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/30 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (23*S[2, Infinity]^3)/35 + 
     (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (599*S[3, Infinity]^2)/256 + (1457*S[-1, Infinity]*S[5, Infinity])/128 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^4/6 + 2*S[-1, 1, 1, 1, Infinity]) + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (13*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-599*S[-5, -1, Infinity] - 
      2016*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/63 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (311*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (379*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((155*S[-1, Infinity]^2)/32 + (51229*S[2, Infinity])/896)*
      S[5, Infinity] - (125611*S[7, Infinity])/896 + 
     S[3, Infinity]*((23*S[-1, Infinity]^4)/192 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 + (7079*S[2, Infinity]^2)/
        2240 - (23*S[-1, 1, 1, 1, Infinity])/8) + 
     (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     16*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/6 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(179*S[-5, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (185*S[-5, 1, 1, Infinity] - 214*S[5, -1, -1, Infinity] - 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(489*S[-5, 1, 1, Infinity] - 568*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (7617600*S[-7, -1, Infinity] + 1202539*S[5, 3, Infinity] + 
     823040*S[-5, -1, -1, -1, Infinity] + 574720*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 - 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, -1, 2, -1, Infinity] -> 
  (31*S[-1, Infinity]^8)/8064 + (381*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (2233877*S[2, Infinity]^4)/196000 + 
   ((16295*S[-1, Infinity]^2)/896 - (4237*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-7595*S[-1, Infinity]^3)/192 + 
     (28215*S[-1, Infinity]*S[2, Infinity])/896 + (24135*S[3, Infinity])/896)*
    S[5, Infinity] + (361395*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((1411*S[-1, Infinity]^4)/3360 - 
     (163*S[-1, 1, 1, 1, Infinity])/70) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-199*S[-1, Infinity]^5)/280 + 
     (1249*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (77631*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1653*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-149*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2045*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/30 + 
     (S[-1, Infinity]^4*S[2, Infinity])/6 - 
     (151*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (81*S[2, Infinity]^3)/35 + 
     (57*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (11*S[3, Infinity]^2)/2 + (1271*S[-1, Infinity]*S[5, Infinity])/128 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     3*(5*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(-317*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/105 + 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (871*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (5903*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((527*S[-1, Infinity]^2)/16 + (62621*S[2, Infinity])/896)*
      S[5, Infinity] - (1452345*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 + (1623*S[2, Infinity]^2)/
        224 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-61*S[-1, Infinity]^5)/240 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(53*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (586*S[-5, 1, 1, Infinity] - 653*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(643*S[-5, 1, 1, Infinity] - 596*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2804960*S[-7, -1, Infinity] + 402313*S[5, 3, Infinity] + 
     249600*S[-5, -1, -1, -1, Infinity] + 265600*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -2, -1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/1152 - (53*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (202771*S[2, Infinity]^4)/56000 + 
   ((13*S[-1, Infinity]^2)/128 + (59*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/2 + (2663*S[3, Infinity])/512)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (117*S[2, Infinity]^3)/224 - (3*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (127*S[3, Infinity]^2)/128 + 
     (3*S[-5, -1, Infinity])/4 + S[2, Infinity]*(S[-1, Infinity]^4/32 - 
       (3*S[-1, 1, 1, 1, Infinity])/4)) + S[2, Infinity]^2*
    ((47*S[-1, Infinity]^4)/240 - (109*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 - (9*S[-5, -1, Infinity])/4 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (15360*S[-7, -1, Infinity] + 839*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[1, Infinity]*((2019*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (285*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (2679*S[2, Infinity]*S[5, Infinity])/448 - (6765*S[7, Infinity])/7168 - 
     (57*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (57*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((-55*S[-1, Infinity]^4)/192 + 
       (55*S[-1, Infinity]^2*S[2, Infinity])/32 + (17*S[2, Infinity]^2)/224 + 
       (55*S[-1, 1, 1, 1, Infinity])/8)) + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/320 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (37*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -2, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (79*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (551893*S[2, Infinity]^4)/784000 + 
   ((13*S[-1, Infinity]^2)/64 + (3063*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (249*S[-1, Infinity]*S[2, Infinity])/64 + (1131*S[3, Infinity])/448)*
    S[5, Infinity] + S[1, Infinity]^2*((25*S[3, Infinity]^2)/256 + 
     (93*S[-1, Infinity]*S[5, Infinity])/128) - 
   (429*S[-1, Infinity]*S[7, Infinity])/224 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[1, Infinity]*((-81*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (171*S[2, Infinity]^2*S[3, Infinity])/2240 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-93*S[-1, Infinity]^2)/64 - (1149*S[2, Infinity])/896)*
      S[5, Infinity] + (1737*S[7, Infinity])/896 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (3*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/28) + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/210 + 
     (43*S[-1, 1, 1, 1, Infinity])/35) + 
   (-7620*S[-7, -1, Infinity] - 1969*S[5, 3, Infinity] - 
     2640*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/448 - 
     (113*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (361*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (55*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - (27*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 1, -2, 1, -2, 1, Infinity] -> S[-1, Infinity]^8/384 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + (741*S[2, Infinity]^4)/8000 + 
   ((35*S[-1, Infinity]^2)/128 - (45*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   S[1, Infinity]^2*((9*S[2, Infinity]^3)/160 + (25*S[3, Infinity]^2)/256) + 
   (193*S[3, Infinity]*S[5, Infinity])/128 + 
   S[1, Infinity]*((3*S[2, Infinity]^2*S[3, Infinity])/64 + 
     (3*S[7, Infinity])/128) + S[2, Infinity]^2*((27*S[-1, Infinity]^4)/320 + 
     (9*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-7*S[5, 3, Infinity] + 960*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/960 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, -2, 1, 2, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/1152 - (46*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (760673*S[2, Infinity]^4)/784000 + 
   ((-311*S[-1, Infinity]^2)/224 - (5217*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (3483*S[-1, Infinity]*S[2, Infinity])/896 - (585*S[3, Infinity])/896)*
    S[5, Infinity] - (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]^2*((-9*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (771*S[2, Infinity]^3)/1120 - (63*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 - (151*S[3, Infinity]^2)/256 + 
     (3*S[-5, -1, Infinity])/8 + S[2, Infinity]*((3*S[-1, Infinity]^4)/32 - 
       (9*S[-1, 1, 1, 1, Infinity])/4)) + S[2, Infinity]^2*
    ((449*S[-1, Infinity]^4)/1680 - (793*S[-1, 1, 1, 1, Infinity])/140) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (71040*S[-7, -1, Infinity] + 37711*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] - 21120*S[-5, -1, 1, 1, Infinity] - 
     62720*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((57*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (165*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((93*S[-1, Infinity]^2)/64 + (1437*S[2, Infinity])/224)*S[5, Infinity] - 
     (52287*S[7, Infinity])/3584 - (33*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 - (3*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 + (975*S[2, Infinity]^2)/
        448 + (21*S[-1, 1, 1, 1, Infinity])/8)) + 
   S[3, Infinity]*((81*S[-1, Infinity]^5)/560 - 
     (209*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (7079*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (167*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/480 + (111*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 1, -2, 1, 2, 1, Infinity] -> -S[-1, Infinity]^8/1152 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (20921*S[2, Infinity]^4)/28000 + ((-37*S[-1, Infinity]^2)/64 + 
     (1425*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/64 - (387*S[-1, Infinity]*S[2, Infinity])/128 - 
     (4053*S[3, Infinity])/512)*S[5, Infinity] - 
   (3627*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[1, Infinity]^2*((-75*S[2, Infinity]^3)/224 + (65*S[3, Infinity]^2)/256 - 
     (465*S[-1, Infinity]*S[5, Infinity])/128 - (15*S[-5, -1, Infinity])/8) + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[1, Infinity]*((-9*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (2139*S[2, Infinity]^2*S[3, Infinity])/2240 + 
     (81*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (7545*S[2, Infinity]*S[5, Infinity])/896 + (49269*S[7, Infinity])/3584 + 
     (18*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (9*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/14) + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/4 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/960 + 
     (7*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 + (21*S[-5, -1, Infinity])/8 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-14160*S[-7, -1, Infinity] - 3623*S[5, 3, Infinity] - 
     2880*S[-5, -1, -1, -1, Infinity] - 480*S[-5, -1, 1, 1, Infinity] - 
     320*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/320 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (271*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/8), S[1, 1, 2, -1, -2, -1, Infinity] -> 
  (67*S[-1, Infinity]^8)/8064 - (1203*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (2997543*S[2, Infinity]^4)/392000 + 
   ((-1889*S[-1, Infinity]^2)/112 + (34655*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((7223*S[-1, Infinity]^3)/192 - 
     (36559*S[-1, Infinity]*S[2, Infinity])/896 - (34717*S[3, Infinity])/
      3584)*S[5, Infinity] - (1443849*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/224 + 
     (11*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((1187*S[-1, Infinity]^5)/2240 - (1355*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (77799*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (27*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (327*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/30 + 
     (91*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (177*S[2, Infinity]^3)/
      140 - (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (347*S[3, Infinity]^2)/64 - (1457*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 - 3*S[-1, 1, 1, 1, Infinity]) - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     3*(5*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(331*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/288 - 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1679*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-632*S[-5, 1, 1, Infinity] + 
      565*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*((-2*S[-1, Infinity]^7)/105 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (1301*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (7153*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-961*S[-1, Infinity]^2)/32 - (50453*S[2, Infinity])/896)*
      S[5, Infinity] + (625515*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (55*S[-1, Infinity]^2*S[2, Infinity])/16 - (2369*S[2, Infinity]^2)/
        560 + (13*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((31*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-125*S[-5, -1, Infinity] + 
        1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-673*S[-5, 1, 1, Infinity] + 524*S[5, -1, -1, Infinity] + 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-5480320*S[-7, -1, Infinity] - 806067*S[5, 3, Infinity] - 
     549120*S[-5, -1, -1, -1, Infinity] - 427520*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 2, -1, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/128 + (81*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (104493*S[2, Infinity]^4)/28000 + 
   ((43*S[-1, Infinity]^2)/128 - (65*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((9*S[-1, Infinity]*S[2, Infinity])/2 - (3561*S[3, Infinity])/512)*
    S[5, Infinity] + S[1, Infinity]^2*((303*S[2, Infinity]^3)/560 - 
     (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (137*S[3, Infinity]^2)/128 - (3*S[-5, -1, Infinity])/4) - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]*((-1333*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (165*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (1927*S[2, Infinity]*S[5, Infinity])/448 - (192819*S[7, Infinity])/
      7168 - (41*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (41*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (4871*S[2, Infinity]^2)/1120 - 
       2*S[-1, 1, 1, 1, Infinity])) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/320 + 
     (87*S[-1, 1, 1, 1, Infinity])/40) + S[2, Infinity]*
    ((-3*S[-1, Infinity]^6)/32 + (9*S[-5, -1, Infinity])/4 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (3*(-5120*S[-7, -1, Infinity] - 1443*S[5, 3, Infinity] + 
      1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
      3840*S[-1, 1, 1, 1, Infinity]^2))/2560 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/192 + 
     (85*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (65*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     5*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 2, -1, 2, -1, Infinity] -> 
  (-79*S[-1, Infinity]^8)/2688 - (5067*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1599327*S[2, Infinity]^4)/784000 + 
   ((2129*S[-1, Infinity]^2)/896 - (1817*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1271*S[-1, Infinity]^3)/192 - 
     (2995*S[-1, Infinity]*S[2, Infinity])/448 - (37559*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((3173*S[-1, Infinity]^4)/6720 - 
     (723*S[-1, 1, 1, 1, Infinity])/280) + 
   (43*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((299*S[-1, Infinity]^5)/3360 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (25*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (97*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 - (81*S[-5, -1, Infinity])/
      7 + (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/15 - 
     (111*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (47*S[2, Infinity]^3)/56 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (137*S[3, Infinity]^2)/64 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^4/6 + 
       2*S[-1, 1, 1, 1, Infinity]) + (23*S[-5, -1, Infinity] - 
       48*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (3*S[-1, Infinity]^2*(25*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((16*S[-1, Infinity]^7)/315 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (2659*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (981*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((279*S[-1, Infinity]^2)/16 + (2537*S[2, Infinity])/224)*
      S[5, Infinity] - (207205*S[7, Infinity])/7168 + 
     (103*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((17*S[-1, Infinity]^4)/64 - 
       (135*S[-1, Infinity]^2*S[2, Infinity])/32 - (151*S[2, Infinity]^2)/
        56 - (51*S[-1, 1, 1, 1, Infinity])/8) - 
     (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-23*S[-1, Infinity]^5)/240 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       8*S[-1, 1, 1, 1, 1, Infinity]) + (206*S[-5, 1, 1, Infinity] - 
       11*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (204320*S[-7, -1, Infinity] + 20421*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] + 21440*S[-5, -1, 1, 1, Infinity] - 
     42560*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, 2, -1, 2, 1, Infinity] -> 
  (-71*S[-1, Infinity]^8)/4032 - (4253*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4424209*S[2, Infinity]^4)/784000 + 
   ((-11425*S[-1, Infinity]^2)/896 + (17547*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((713*S[-1, Infinity]^3)/32 - 
     (7135*S[-1, Infinity]*S[2, Infinity])/896 - (8255*S[3, Infinity])/1792)*
    S[5, Infinity] - (1227195*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-509*S[-1, Infinity]^4)/1680 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/240 + (341*S[-5, -1, Infinity])/7 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((271*S[-1, Infinity]^5)/448 - 
     (1061*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (22361*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (465*S[-1, 1, 1, 1, 1, Infinity])/14) - 8*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] - 
   (4*S[-1, Infinity]^2*(-19*S[-5, -1, Infinity] - 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/30 - 
     (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (919*S[2, Infinity]^3)/
      1120 + (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (139*S[3, Infinity]^2)/64 - (1271*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((13*S[-1, Infinity]^4)/96 - (5*S[-1, 1, 1, 1, Infinity])/
        4) + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-23*S[-5, -1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(-498*S[-5, 1, 1, Infinity] + 
      433*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*((2*S[-1, Infinity]^7)/63 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (543*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-155*S[-1, Infinity]^2)/32 - (49279*S[2, Infinity])/896)*
      S[5, Infinity] + (509995*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (5301*S[2, Infinity]^2)/
        1120 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/6 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
     16*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (8*S[-1, Infinity]*(11*S[-5, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-146*S[-5, 1, 1, Infinity] + 211*S[5, -1, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-217500*S[-7, -1, Infinity] - 30763*S[5, 3, Infinity] - 
     20320*S[-5, -1, -1, -1, Infinity] - 18320*S[-5, -1, 1, 1, Infinity] - 
     5600*S[-1, 1, 1, 1, Infinity]^2 + 134400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[1, 1, 2, 1, -2, -1, Infinity] -> 
  (683*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1603687*S[2, Infinity]^4)/784000 + 
   ((563*S[-1, Infinity]^2)/896 - (3825*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 + 
     (9897*S[-1, Infinity]*S[2, Infinity])/896 - (44631*S[3, Infinity])/7168)*
    S[5, Infinity] - (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (313*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]^2*((75*S[2, Infinity]^3)/224 + 
     (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (225*S[3, Infinity]^2)/256 + (15*S[-5, -1, Infinity])/8) + 
   S[1, Infinity]*((631*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (2409*S[2, Infinity]^2*S[3, Infinity])/2240 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((465*S[-1, Infinity]^2)/64 + (4171*S[2, Infinity])/448)*
      S[5, Infinity] - (104865*S[7, Infinity])/7168 + 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity])/28) + 
   (981440*S[-7, -1, Infinity] + 115807*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/840 - 
     (13*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/420 + (13*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (15457*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, 1, -2, 1, Infinity] -> 
  (-159*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (85457*S[2, Infinity]^4)/156800 + ((-265*S[-1, Infinity]^2)/112 + 
     (7155*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((341*S[-1, Infinity]^3)/64 + (2585*S[-1, Infinity]*S[2, Infinity])/896 - 
     (70761*S[3, Infinity])/7168)*S[5, Infinity] - 
   (235407*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[1, Infinity]^2*((-15*S[2, Infinity]^3)/56 - (9*S[3, Infinity]^2)/256 - 
     (93*S[-1, Infinity]*S[5, Infinity])/128 - (3*S[-5, -1, Infinity])/8) + 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (739*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]*((-9*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (171*S[2, Infinity]^2*S[3, Infinity])/2240 + 
     (81*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (10149*S[2, Infinity]*S[5, Infinity])/896 + (65271*S[7, Infinity])/
      3584 + (18*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (9*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/14) - 
   (S[-1, Infinity]*(-106*S[-5, 1, 1, Infinity] + 
      125*S[5, -1, -1, Infinity]))/28 + 
   (-272704*S[-7, -1, Infinity] - 55271*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 27136*S[-5, -1, 1, 1, Infinity])/
    7168 + S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/1680 + 
     (53*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((53*S[-1, Infinity]^5)/840 - (53*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3569*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (53*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/384 + (727*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (420197*S[2, Infinity]^4)/392000 + 
   ((59*S[-1, Infinity]^2)/64 + (2749*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/32 - (717*S[-1, Infinity]*S[2, Infinity])/64 + 
     (2845*S[3, Infinity])/1792)*S[5, Infinity] - 
   (146487*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    28 + S[1, Infinity]*((-729*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (163*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-465*S[-1, Infinity]^2)/64 - (11667*S[2, Infinity])/896)*
      S[5, Infinity] + (167991*S[7, Infinity])/7168 + 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/64 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 - (1353*S[2, Infinity]^2)/
        560 - (21*S[-1, 1, 1, 1, Infinity])/8)) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/336 + 
     (137*S[-1, 1, 1, 1, Infinity])/28) + S[2, Infinity]*
    (-S[-1, Infinity]^6/32 + (173*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-350720*S[-7, -1, Infinity] - 58971*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]^2*((9*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (9*S[2, Infinity]^3)/10 + (21*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (15*S[3, Infinity]^2)/64 + 
     (465*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^4)/32 + (9*S[-1, 1, 1, 1, Infinity])/
        4)) + S[3, Infinity]*((-599*S[-1, Infinity]^5)/6720 + 
     (305*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, 1, 2, 1, Infinity] -> 
  (-174*S[2, Infinity]^4)/175 + S[1, Infinity]^2*S[3, Infinity]^2 + 
   S[2, Infinity]*S[3, Infinity]^2 + 8*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((-12*S[2, Infinity]^2*S[3, Infinity])/5 + 
     3*S[7, Infinity]) + 4*S[5, 3, Infinity], 
 S[1, -1, -2, -1, -1, -2, Infinity] -> S[-1, Infinity]^8/70 + 
   (13273*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (136151*S[2, Infinity]^4)/156800 + 
   ((12479*S[-1, Infinity]^2)/448 + (837*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3317*S[-1, Infinity]^3)/64 - 
     (9073*S[-1, Infinity]*S[2, Infinity])/112 + (10487*S[3, Infinity])/448)*
    S[5, Infinity] + (1477489*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*(20928*S[-7, -1, Infinity] + 5809*S[5, 3, Infinity] + 
      1536*S[-5, -1, -1, -1, Infinity] + 5632*S[-5, -1, 1, 1, Infinity]))/
    3584 + S[2, Infinity]^2*((599*S[-1, Infinity]^4)/280 - 
     (54*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-57*S[-1, Infinity]^5)/2240 + (1081*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (4861*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (451*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(-143*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/160 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-677*S[-5, -1, Infinity] + 588*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/35 - 
     (463*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (2453*S[-1, Infinity]*S[2, Infinity]^3)/240 + 
     ((-69*S[-1, Infinity]^2*S[2, Infinity])/32 + (3763*S[2, Infinity]^2)/
        280)*S[3, Infinity] - (2515*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((1457*S[-1, Infinity]^2)/16 + (135085*S[2, Infinity])/896)*
      S[5, Infinity] - (48327*S[7, Infinity])/112 + 
     S[2, Infinity]*((59*S[-1, Infinity]^5)/240 - 
       (11*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-143*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (2*(145*S[-5, 1, 1, Infinity] - 184*S[5, -1, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(705*S[-5, 1, 1, Infinity] - 793*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, -1, -2, -1, -1, 2, Infinity] -> (-713*S[-1, Infinity]^8)/40320 - 
   (21409*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (1605529*S[2, Infinity]^4)/392000 + 
   ((1195*S[-1, Infinity]^2)/896 + (26293*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (5483*S[-1, Infinity]*S[2, Infinity])/56 - (24027*S[3, Infinity])/896)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1203*S[-1, Infinity]^4)/2240 + 
     (1159*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/28 - 
     (653*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (20933*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (295*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2713*S[-5, -1, Infinity] - 1176*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(769*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/105 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (2341*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     ((-3*S[-1, Infinity]^2*S[2, Infinity])/16 + (2829*S[2, Infinity]^2)/320)*
      S[3, Infinity] - (215*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((2263*S[-1, Infinity]^2)/64 + (5237*S[2, Infinity])/64)*
      S[5, Infinity] - (230777*S[7, Infinity])/1024 - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/120 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(19*S[-5, -1, Infinity] - 
        192*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (65*S[-5, 1, 1, Infinity] - 97*S[5, -1, -1, Infinity] - 
       384*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-1367360*S[-7, -1, Infinity] - 216549*S[5, 3, Infinity] - 
     152000*S[-5, -1, -1, -1, Infinity] - 101120*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, -2, -1, 1, -2, Infinity] -> 
  (-73*S[-1, Infinity]^8)/5040 - (17077*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (39517*S[2, Infinity]^4)/28000 + 
   ((77*S[-1, Infinity]^2)/128 + (4231*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 - 
     (7429*S[-1, Infinity]*S[2, Infinity])/128 - (21225*S[3, Infinity])/1024)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/24 + (7*S[-1, 1, 1, 1, Infinity])/
      4) + S[3, Infinity]*((83*S[-1, Infinity]^5)/320 - 
     (119*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (2833*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(125*S[-5, -1, Infinity] - 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/144 + 61*S[-5, -1, Infinity] - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (S[-1, Infinity]^7/105 - (S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
     (121*S[-1, Infinity]*S[2, Infinity]^3)/420 - 
     (9061*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((2883*S[-1, Infinity]^2)/128 + (39817*S[2, Infinity])/896)*
      S[5, Infinity] - (195743*S[7, Infinity])/1792 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/96 - S[-1, Infinity]^2*
        S[2, Infinity] + (87*S[2, Infinity]^2)/35 - 
       (13*S[-1, 1, 1, 1, Infinity])/4) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/40 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (162*S[-5, 1, 1, Infinity] - 181*S[5, -1, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-909120*S[-7, -1, Infinity] - 139887*S[5, 3, Infinity] - 
     101120*S[-5, -1, -1, -1, Infinity] - 78080*S[-5, -1, 1, 1, Infinity] - 
     20480*S[-1, 1, 1, 1, Infinity]^2 + 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, -2, -1, 1, 2, Infinity] -> 
  (109*S[-1, Infinity]^8)/20160 + (1027*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (917629*S[2, Infinity]^4)/784000 + 
   ((14437*S[-1, Infinity]^2)/1792 + (447*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-713*S[-1, Infinity]^3)/32 - 
     (27491*S[-1, Infinity]*S[2, Infinity])/448 - (25433*S[3, Infinity])/
      1792)*S[5, Infinity] + (882887*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((4831*S[-1, Infinity]^4)/6720 - 
     (379*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-156000*S[-7, -1, Infinity] - 30897*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((907*S[-1, Infinity]^5)/2240 - 
     (881*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (29909*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (481*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (4*(-10*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/70 - 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (14029*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (17581*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((2945*S[-1, Infinity]^2)/64 + (36389*S[2, Infinity])/448)*
      S[5, Infinity] - (1665859*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-37*S[-1, Infinity]^4)/192 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/32 + (1381*S[2, Infinity]^2)/
        140 + (37*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 + 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-215*S[-5, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (537*S[-5, 1, 1, Infinity] - 793*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(213*S[-5, 1, 1, Infinity] - 431*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, -1, -2, 1, -1, -2, Infinity] -> (619*S[-1, Infinity]^8)/40320 + 
   (2353*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (12061*S[2, Infinity]^4)/8000 + ((-49*S[-1, Infinity]^2)/64 - 
     (5029*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 + (8563*S[-1, Infinity]*S[2, Infinity])/
      128 + (19449*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/60 - 
     (17*S[-1, 1, 1, 1, Infinity])/10) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-49*S[-1, Infinity]^5)/160 + 
     (49*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (14031*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (147*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-127*S[-5, -1, Infinity] + 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((-91*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-247*S[-5, -1, Infinity] + 60*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/105 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/24 + 
     (11857*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-3131*S[-1, Infinity]^2)/128 - (38579*S[2, Infinity])/896)*
      S[5, Infinity] + (23489*S[7, Infinity])/224 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/64 + 
       (39*S[-1, Infinity]^2*S[2, Infinity])/32 - (587*S[2, Infinity]^2)/
        2240 + (39*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(17*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-198*S[-5, 1, 1, Infinity] + 173*S[5, -1, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (998720*S[-7, -1, Infinity] + 142521*S[5, 3, Infinity] + 
     108800*S[-5, -1, -1, -1, Infinity] + 85760*S[-5, -1, 1, 1, Infinity] + 
     23040*S[-1, 1, 1, 1, Infinity]^2 - 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, -2, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/5040 + (3581*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (293521*S[2, Infinity]^4)/78400 + ((-14173*S[-1, Infinity]^2)/1792 - 
     (1305*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((527*S[-1, Infinity]^3)/32 + (43675*S[-1, Infinity]*S[2, Infinity])/896 + 
     (38803*S[3, Infinity])/896)*S[5, Infinity] - 
   (160469*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-2229*S[-1, Infinity]^4)/2240 - 
     (43*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (288576*S[-7, -1, Infinity] + 53421*S[5, 3, Infinity] + 
     26112*S[-5, -1, -1, -1, Infinity] + 49152*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/70 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (39871*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1473*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(-373*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/70 + 
     (71*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (2123*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     (20017*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-2697*S[-1, Infinity]^2)/64 - (56111*S[2, Infinity])/896)*
      S[5, Infinity] + (348381*S[7, Infinity])/1792 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/32 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/2 - (1719*S[2, Infinity]^2)/280 + 
       (9*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-23*S[-1, Infinity]^5)/120 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]*(-51*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (3*(100*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity] - 
        448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (S[-1, Infinity]*(-51*S[-5, 1, 1, Infinity] + 68*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7, 
 S[1, -1, -2, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/1152 + 
   (1571*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (52979*S[2, Infinity]^4)/156800 + 
   ((285*S[-1, Infinity]^2)/128 - (283*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (867*S[-1, Infinity]*S[2, Infinity])/64 + (291*S[3, Infinity])/56)*
    S[5, Infinity] - (77389*S[-1, Infinity]*S[7, Infinity])/3584 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (5*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((181*S[-1, Infinity]^4)/840 + 
     (93*S[-1, 1, 1, 1, Infinity])/70) + 
   (-8384*S[-7, -1, Infinity] + 1275*S[5, 3, Infinity] + 
     1152*S[-5, -1, -1, -1, Infinity] - 1152*S[-5, -1, 1, 1, Infinity] + 
     896*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (313*S[-1, Infinity]*S[2, Infinity]^3)/120 - 
     (17*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-155*S[-1, Infinity]^2)/32 - (923*S[2, Infinity])/64)*S[5, Infinity] + 
     (13303*S[7, Infinity])/512 + (5*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     5*S[5, -1, -1, Infinity] + S[3, Infinity]*((29*S[-1, Infinity]^4)/192 - 
       (39*S[-1, Infinity]^2*S[2, Infinity])/16 - (1127*S[2, Infinity]^2)/
        320 - (29*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/240 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]/2)) + 
   S[3, Infinity]*((-281*S[-1, Infinity]^5)/1344 + 
     (113*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (727*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (71*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, -2, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/384 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (26233*S[2, Infinity]^4)/784000 + 
   ((341*S[-1, Infinity]^2)/896 + (351*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (355*S[-1, Infinity]*S[2, Infinity])/448 - (2593*S[3, Infinity])/896)*
    S[5, Infinity] - (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/140 + 
     (37*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (168320*S[-7, -1, Infinity] + 23897*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (1573*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (81*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (369*S[2, Infinity]*S[5, Infinity])/224 + (3933*S[7, Infinity])/896 + 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (5*(4*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/192 + 
       (27*S[-1, Infinity]^2*S[2, Infinity])/32 + (129*S[2, Infinity]^2)/
        2240 + (13*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/280 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1663*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-185*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, 2, -1, -1, -2, Infinity] -> (19*S[-1, Infinity]^8)/1260 + 
   (19109*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (1082467*S[2, Infinity]^4)/196000 + 
   ((-2789*S[-1, Infinity]^2)/1792 - (49457*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (19629*S[-1, Infinity]*S[2, Infinity])/224 + (195961*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((1507*S[-1, Infinity]^4)/3360 - (737*S[-1, 1, 1, 1, Infinity])/140) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-81*S[-1, Infinity]^5)/224 + 
     (185*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (149859*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (1215*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-1433*S[-5, -1, Infinity] + 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 - 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-2825*S[-5, -1, Infinity] + 
       1176*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/105 + 
     (S[-1, Infinity]^5*S[2, Infinity])/15 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (1751*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/2 - (243*S[2, Infinity]^2)/40)*
      S[3, Infinity] + (121*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-2263*S[-1, Infinity]^2)/64 - (4457*S[2, Infinity])/64)*
      S[5, Infinity] + (3253*S[7, Infinity])/16 + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-5*S[-5, -1, Infinity] + 
        96*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (-37*S[-5, 1, 1, Infinity] + 44*S[5, -1, -1, Infinity] + 
       192*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (10802240*S[-7, -1, Infinity] + 1619937*S[5, 3, Infinity] + 
     1081600*S[-5, -1, -1, -1, Infinity] + 943360*S[-5, -1, 1, 1, Infinity] - 
     5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 2, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/70 - 
   (1543*S[-1, Infinity]^2*S[2, Infinity]^3)/210 - 
   (23537*S[2, Infinity]^4)/9800 + ((-5683*S[-1, Infinity]^2)/224 - 
     (585*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((3317*S[-1, Infinity]^3)/64 + (8751*S[-1, Infinity]*S[2, Infinity])/112 - 
     (5315*S[3, Infinity])/896)*S[5, Infinity] - 
   (25969*S[-1, Infinity]*S[7, Infinity])/112 + 
   (-19840*S[-7, -1, Infinity] - 4089*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 1536*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-695*S[-1, Infinity]^4)/336 + 
     (12*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/280 - (225*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1973*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((29*S[-1, Infinity]^6)/240 + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (115*S[-5, -1, Infinity] - 
       147*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (6*S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(S[-1, Infinity]^7/35 + 
     (56*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (397*S[-1, Infinity]*S[2, Infinity]^3)/42 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/2 - (2081*S[2, Infinity]^2)/140)*
      S[3, Infinity] + (613*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-1457*S[-1, Infinity]^2)/16 - (8599*S[2, Infinity])/56)*
      S[5, Infinity] + (12185*S[7, Infinity])/28 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/30 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(143*S[-5, -1, Infinity] + 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (2*(145*S[-5, 1, 1, Infinity] - 184*S[5, -1, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-321*S[-5, 1, 1, Infinity] + 
      428*S[5, -1, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14, S[1, -1, 2, -1, 1, -2, Infinity] -> (-107*S[-1, Infinity]^8)/10080 - 
   (33727*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (3473929*S[2, Infinity]^4)/784000 + 
   ((-19679*S[-1, Infinity]^2)/896 + (23571*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1085*S[-1, Infinity]^3)/32 + 
     (775*S[-1, Infinity]*S[2, Infinity])/56 - (245047*S[3, Infinity])/3584)*
    S[5, Infinity] - (47593*S[-1, Infinity]*S[7, Infinity])/512 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-4741*S[-1, Infinity]^4)/3360 + 
     (41*S[-1, 1, 1, 1, Infinity])/28) + 
   (-1744320*S[-7, -1, Infinity] - 380403*S[5, 3, Infinity] - 
     195840*S[-5, -1, -1, -1, Infinity] - 288000*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((269*S[-1, Infinity]^5)/560 - 
     (131*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (10559*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (879*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (1439*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(-191*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-39*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] + 
      96*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*(S[-1, Infinity]^7/70 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (9013*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (10869*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-2945*S[-1, Infinity]^2)/64 - (33737*S[2, Infinity])/448)*
      S[5, Infinity] + (189687*S[7, Infinity])/896 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (43*S[-1, Infinity]^2*S[2, Infinity])/32 - (5871*S[2, Infinity]^2)/
        1120 + 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/6 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(169*S[-5, -1, Infinity] + 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-295*S[-5, 1, 1, Infinity] + 370*S[5, -1, -1, Infinity] + 
       1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, 2, -1, 1, 2, Infinity] -> (59*S[-1, Infinity]^8)/40320 + 
   (9881*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (829579*S[2, Infinity]^4)/784000 + 
   ((-661*S[-1, Infinity]^2)/448 - (3193*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/192 + 
     (43843*S[-1, Infinity]*S[2, Infinity])/896 + (10965*S[3, Infinity])/
      1792)*S[5, Infinity] + S[2, Infinity]^2*
    ((1151*S[-1, Infinity]^4)/2240 - (233*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-237*S[-1, Infinity]^5)/2240 + 
     (103*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (8517*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (24*(6*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (6*S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/105 - 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/168 - 
     (51*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1395*S[-1, Infinity]^2)/128 - (34861*S[2, Infinity])/896)*
      S[5, Infinity] + (425597*S[7, Infinity])/3584 + 
     S[3, Infinity]*((47*S[-1, Infinity]^4)/192 - 
       (83*S[-1, Infinity]^2*S[2, Infinity])/32 - (16313*S[2, Infinity]^2)/
        2240 - (47*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((47*S[-1, Infinity]^5)/240 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (4*S[-1, Infinity]*(13*S[-5, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-22*S[-5, 1, 1, Infinity] + 153*S[5, -1, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1899200*S[-7, -1, Infinity] + 391833*S[5, 3, Infinity] + 
     299520*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] - 
     62720*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 2, 1, -1, -2, Infinity] -> 
  (109*S[-1, Infinity]^8)/20160 + (2117*S[-1, Infinity]^2*S[2, Infinity]^3)/
    480 + (835433*S[2, Infinity]^4)/196000 + 
   ((4385*S[-1, Infinity]^2)/896 - (22749*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-899*S[-1, Infinity]^3)/32 - 
     (11225*S[-1, Infinity]*S[2, Infinity])/448 + (24389*S[3, Infinity])/
      3584)*S[5, Infinity] + (1308425*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((5843*S[-1, Infinity]^4)/6720 - 
     (761*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (1055360*S[-7, -1, Infinity] + 252951*S[5, 3, Infinity] + 
     264960*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((1579*S[-1, Infinity]^5)/6720 - 
     (695*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3687*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (45*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     S[-1, 1, 1, 1, 1, Infinity]/14) + 
   (S[-1, Infinity]^2*(-127*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-341*S[-5, -1, Infinity] + 294*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/70 - 
     (209*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (18589*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (8517*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((2697*S[-1, Infinity]^2)/64 + (32841*S[2, Infinity])/448)*
      S[5, Infinity] - (1561351*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (29*S[-1, Infinity]^2*S[2, Infinity])/32 + (3761*S[2, Infinity]^2)/
        448 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((23*S[-1, Infinity]^5)/240 + (S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(-101*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (527*S[-5, 1, 1, Infinity] - 691*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(159*S[-5, 1, 1, Infinity] - 653*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, -1, 2, 1, -1, 2, Infinity] -> (-397*S[-1, Infinity]^8)/20160 - 
   (163*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (5915933*S[2, Infinity]^4)/784000 + 
   ((-37*S[-1, Infinity]^2)/224 + (953*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 + 
     (1853*S[-1, Infinity]*S[2, Infinity])/896 - (40365*S[3, Infinity])/1792)*
    S[5, Infinity] + (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((761*S[-1, Infinity]^4)/6720 + 
     (849*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((737*S[-1, Infinity]^5)/3360 + 
     (479*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (11969*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (263*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/720 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (827*S[-5, -1, Infinity] - 
       294*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]^2*(9*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (6953*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (5337*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1643*S[-1, Infinity]^2)/128 + (3873*S[2, Infinity])/896)*
      S[5, Infinity] - (126463*S[7, Infinity])/3584 + 
     S[3, Infinity]*((55*S[-1, Infinity]^4)/192 - 
       (223*S[-1, Infinity]^2*S[2, Infinity])/32 - (1977*S[2, Infinity]^2)/
        448 - (55*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((2*S[-1, Infinity]^5)/15 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (12*S[-1, Infinity]*(-3*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (184*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-2022400*S[-7, -1, Infinity] - 185781*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 363520*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 2, 1, 1, -2, Infinity] -> 
  (-7*S[-1, Infinity]^8)/576 - (251*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - 
   (43447*S[2, Infinity]^4)/156800 + ((-2467*S[-1, Infinity]^2)/1792 + 
     (551*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/96 - (257*S[-1, Infinity]*S[2, Infinity])/56 - 
     (35067*S[3, Infinity])/7168)*S[5, Infinity] + 
   (149*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-521*S[-1, Infinity]^4)/6720 - 
     (739*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-52672*S[-7, -1, Infinity] - 24901*S[5, 3, Infinity] - 
     20224*S[-5, -1, -1, -1, Infinity] + 2304*S[-5, -1, 1, 1, Infinity] - 
     50176*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/140 - 
     (811*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (18071*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (69*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (3203*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (527*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (1823*S[2, Infinity]*S[5, Infinity])/448 + (31473*S[7, Infinity])/7168 - 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (47*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/32 - 
       (S[-1, Infinity]^2*S[2, Infinity])/8 - (583*S[2, Infinity]^2)/448 - 
       (9*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/240 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((121*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (47*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, 2, 1, 1, 2, Infinity] -> -S[-1, Infinity]^8/384 - 
   (1207*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (38909*S[2, Infinity]^4)/49000 + ((-211*S[-1, Infinity]^2)/64 + 
     (741*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/64 - (1349*S[-1, Infinity]*S[2, Infinity])/128 - 
     (32393*S[3, Infinity])/3584)*S[5, Infinity] + 
   (233843*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-1343*S[-1, Infinity]^4)/6720 - 
     (757*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (77120*S[-7, -1, Infinity] - 5253*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (241*S[-1, Infinity]*S[2, Infinity]^3)/240 + 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((155*S[-1, Infinity]^2)/32 + (91*S[2, Infinity])/8)*S[5, Infinity] - 
     (14455*S[7, Infinity])/512 - 2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/16 + (57*S[2, Infinity]^2)/16 + 
       3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/240 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((359*S[-1, Infinity]^5)/1120 - 
     (1573*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1701*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (39*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/90 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-37*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, -2, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/384 - 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (235463*S[2, Infinity]^4)/
    1176000 + ((151*S[-1, Infinity]^2)/448 - (2899*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2913*S[-1, Infinity]*S[2, Infinity])/448 - 
     (17781*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (7*S[2, Infinity]^3)/48 + (33*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (73*S[3, Infinity]^2)/256 + 
     (5*S[-5, -1, Infinity])/2) + S[2, Infinity]^2*
    ((29*S[-1, Infinity]^4)/420 - (57*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (76000*S[-7, -1, Infinity] + 1173*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((89*S[-1, Infinity]^5)/3360 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (1607*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (89*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     ((-217*S[-1, Infinity]^2)/32 - (1229*S[2, Infinity])/64)*
      S[5, Infinity] + (25765*S[7, Infinity])/512 + 
     7*S[5, -1, -1, Infinity] + S[3, Infinity]*((13*S[-1, Infinity]^4)/192 - 
       (55*S[-1, Infinity]^2*S[2, Infinity])/32 - (701*S[2, Infinity]^2)/
        160 - (13*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
       5*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    (S[-1, Infinity]^6/288 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (173*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -2, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/448 - 
   (173*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (1029599*S[2, Infinity]^4)/
    67200 + ((-2293*S[-1, Infinity]^2)/128 + (673*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((8215*S[-1, Infinity]^3)/192 - 
     (4341*S[-1, Infinity]*S[2, Infinity])/128 - (46961*S[3, Infinity])/1024)*
    S[5, Infinity] - (97945*S[-1, Infinity]*S[7, Infinity])/512 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/192 + 
     (39*S[-1, 1, 1, 1, Infinity])/8) + S[3, Infinity]*
    ((293*S[-1, Infinity]^5)/480 - (93*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (21881*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (481*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/30 - 
     (S[-1, Infinity]^4*S[2, Infinity])/6 + 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (5687*S[2, Infinity]^3)/
      1680 + (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (55*S[3, Infinity]^2)/16 - (31*S[-1, Infinity]*S[5, Infinity])/8 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(7*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(199*S[-5, -1, Infinity] + 
      192*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (617*S[-5, -1, Infinity] + 220*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/105 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (177*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (2553*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-3007*S[-1, Infinity]^2)/64 - (12155*S[2, Infinity])/128)*
      S[5, Infinity] + (61855*S[7, Infinity])/256 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (29*S[-1, Infinity]^2*S[2, Infinity])/32 - (2753*S[2, Infinity]^2)/
        320 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/15 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - S[-1, Infinity]*(-5*S[-5, -1, Infinity] + 
       48*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
     (3*(14*S[-5, 1, 1, Infinity] - 21*S[5, -1, -1, Infinity] - 
        64*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2) - 
   (S[-1, Infinity]*(-42*S[-5, 1, 1, Infinity] + 49*S[5, -1, -1, Infinity] + 
      192*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-322624*S[-7, -1, Infinity] - 50823*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] - 
     1024*S[-1, 1, 1, 1, Infinity]^2 + 163840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[1, 1, -2, -1, 1, -2, Infinity] -> 
  (37*S[-1, Infinity]^8)/8064 - (83*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (9118253*S[2, Infinity]^4)/1176000 + 
   ((-15359*S[-1, Infinity]^2)/1792 + (51421*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((11377*S[-1, Infinity]^3)/384 - 
     (19601*S[-1, Infinity]*S[2, Infinity])/896 - (247193*S[3, Infinity])/
      7168)*S[5, Infinity] - (221033*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/14 + 
     (79*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((677*S[-1, Infinity]^5)/3360 - (533*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (93351*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (2089*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(467*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/60 + 
     (83*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (761*S[2, Infinity]^3)/
      420 + (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (557*S[3, Infinity]^2)/256 - (155*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^4)/96 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-23*S[-5, -1, Infinity] + 
       48*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3083*S[-5, -1, Infinity] + 700*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-86*S[-5, 1, 1, Infinity] + 131*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/105 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (43*S[-1, Infinity]*S[2, Infinity]^3)/14 + 
     (2753*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-4123*S[-1, Infinity]^2)/128 - (52505*S[2, Infinity])/896)*
      S[5, Infinity] + (30243*S[7, Infinity])/224 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/64 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 - (2481*S[2, Infinity]^2)/
        448 + (3*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/240 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-53*S[-5, -1, Infinity] + 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-208*S[-5, 1, 1, Infinity] + 275*S[5, -1, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-7426240*S[-7, -1, Infinity] - 1249743*S[5, 3, Infinity] - 
     915200*S[-5, -1, -1, -1, Infinity] - 661760*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, -1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/1152 - (943*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (161057*S[2, Infinity]^4)/235200 + 
   ((575*S[-1, Infinity]^2)/1792 + (937*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-159*S[-1, Infinity]*S[2, Infinity])/28 - 
     (88901*S[3, Infinity])/7168)*S[5, Infinity] + 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]^2*((-21*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - 
     (613*S[2, Infinity]^3)/1680 + (3*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 - (247*S[3, Infinity]^2)/256 + 
     (21*S[-5, -1, Infinity])/8 + S[2, Infinity]*((3*S[-1, Infinity]^4)/32 - 
       (9*S[-1, 1, 1, 1, Infinity])/4)) + S[2, Infinity]^2*
    ((473*S[-1, Infinity]^4)/3360 - (162*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (89536*S[-7, -1, Infinity] - 13549*S[5, 3, Infinity] - 
     13568*S[-5, -1, -1, -1, Infinity] + 13568*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[3, Infinity]*((67*S[-1, Infinity]^5)/2240 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (7043*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (1137*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-217*S[-1, Infinity]^2)/64 - (179*S[2, Infinity])/56)*S[5, Infinity] + 
     (20911*S[7, Infinity])/1792 - (18*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-31*S[-1, Infinity]^4)/192 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/32 + (2587*S[2, Infinity]^2)/
        2240 + (31*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 + 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((17*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-275*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, -2, 1, -1, -2, Infinity] -> (-5*S[-1, Infinity]^8)/1344 + 
   (1341*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (862459*S[2, Infinity]^4)/117600 + 
   ((14899*S[-1, Infinity]^2)/1792 - (40519*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-9145*S[-1, Infinity]^3)/384 + 
     (16887*S[-1, Infinity]*S[2, Infinity])/896 + (165831*S[3, Infinity])/
      7168)*S[5, Infinity] + (748135*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((149*S[-1, Infinity]^4)/672 - 
     (107*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1559*S[-1, Infinity]^5)/6720 + 
     (141*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (83283*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1769*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2441*S[-5, -1, Infinity] - 728*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/60 - 
     (39*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (769*S[2, Infinity]^3)/
      420 - (569*S[3, Infinity]^2)/256 + (155*S[-1, Infinity]*S[5, Infinity])/
      128 + S[2, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       S[-1, 1, 1, 1, Infinity]/2) + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(7*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (4*S[-1, Infinity]^2*(-25*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (661*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (2285*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((3379*S[-1, Infinity]^2)/128 + (22143*S[2, Infinity])/448)*
      S[5, Infinity] - (219437*S[7, Infinity])/1792 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (9959*S[2, Infinity]^2)/2240 - 
       S[-1, 1, 1, 1, Infinity]/4) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/240 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(41*S[-5, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (172*S[-5, 1, 1, Infinity] - 227*S[5, -1, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(321*S[-5, 1, 1, Infinity] - 379*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1242816*S[-7, -1, Infinity] + 197943*S[5, 3, Infinity] + 
     139008*S[-5, -1, -1, -1, Infinity] + 111872*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 1, -2, 1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/1152 + (409*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (31463*S[2, Infinity]^4)/58800 + ((-1499*S[-1, Infinity]^2)/1792 - 
     (437*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((75*S[-1, Infinity]*S[2, Infinity])/28 + (56337*S[3, Infinity])/7168)*
    S[5, Infinity] - (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/32 - 
     (241*S[2, Infinity]^3)/672 - (63*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 + (91*S[3, Infinity]^2)/256 - 
     (13*S[-5, -1, Infinity])/8 + S[2, Infinity]*(S[-1, Infinity]^4/48 - 
       S[-1, 1, 1, 1, Infinity]/2)) + S[2, Infinity]^2*
    ((-47*S[-1, Infinity]^4)/2240 - (209*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-32192*S[-7, -1, Infinity] + 8313*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (671*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (115*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((217*S[-1, Infinity]^2)/64 + (1381*S[2, Infinity])/224)*
      S[5, Infinity] - (129613*S[7, Infinity])/7168 + 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (23*S[-5, 1, 1, Infinity] - 75*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (3153*S[2, Infinity]^2)/2240 - 
       S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*(S[-1, Infinity]^5/40 - 
       3*S[-1, 1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((71*S[-1, Infinity]^5)/3360 - (13*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (13019*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (23*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, -2, 1, 1, -2, Infinity] -> (21*S[-1, Infinity]^2*S[2, Infinity]^3)/
    40 + (2059*S[2, Infinity]^4)/3360 + 
   ((7*S[-1, Infinity]^2)/16 + (117*S[2, Infinity])/256)*S[3, Infinity]^2 - 
   (S[3, Infinity]*S[5, Infinity])/8 + S[2, Infinity]^2*
    ((-7*S[-1, Infinity]^4)/80 + (21*S[-1, 1, 1, 1, Infinity])/10) + 
   S[1, Infinity]^2*((5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (17*S[2, Infinity]^3)/42 + (35*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 + (131*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/96 + (5*S[-1, 1, 1, 1, Infinity])/
        4)) + S[3, Infinity]*(-S[-1, Infinity]^5/30 + 
     (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (147*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 - 
     (23*S[2, Infinity]*S[5, Infinity])/4 + (4171*S[7, Infinity])/256 + 
     2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     2*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/16 - (13*S[2, Infinity]^2)/5 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/30 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       S[-1, 1, 1, 1, 1, Infinity])), S[1, 1, -2, 1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/288 - (527*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1915237*S[2, Infinity]^4)/2352000 + 
   ((-1703*S[-1, Infinity]^2)/896 - (3081*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (1139*S[-1, Infinity]*S[2, Infinity])/448 + (2803*S[3, Infinity])/7168)*
    S[5, Infinity] + (164389*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 89*S[5, -1, -1, Infinity]))/
    28 + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (13*S[2, Infinity]^3)/120 - (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 - (17*S[3, Infinity]^2)/32 + 
     (155*S[-1, Infinity]*S[5, Infinity])/64 + (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/96 - S[-1, 1, 1, 1, Infinity]/4)) + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/448 - 
     (75*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (19*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (417600*S[-7, -1, Infinity] + 113999*S[5, 3, Infinity] + 
     113920*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (33*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (389*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     (779*S[2, Infinity]*S[5, Infinity])/224 - (47601*S[7, Infinity])/7168 - 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (37*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (1907*S[2, Infinity]^2)/
        2240 + (7*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2)) + S[3, Infinity]*
    ((257*S[-1, Infinity]^5)/1680 - (325*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (4413*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (27*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (83*S[-1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, 2, -1, -1, -2, Infinity] -> (-53*S[-1, Infinity]^8)/8064 + 
   (287*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (1353083*S[2, Infinity]^4)/84000 + 
   ((2107*S[-1, Infinity]^2)/128 - (5439*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-8215*S[-1, Infinity]^3)/192 + 
     (1017*S[-1, Infinity]*S[2, Infinity])/32 + (23545*S[3, Infinity])/512)*
    S[5, Infinity] + (199597*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/96 - 
     (23*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-467*S[-1, Infinity]^5)/960 + 
     (163*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (2107*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 + 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-307*S[-5, -1, Infinity] - 
       106*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/30 - 
     (151*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (2533*S[2, Infinity]^3)/
      672 - (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
     4*S[3, Infinity]^2 + (31*S[-1, Infinity]*S[5, Infinity])/8 + 
     S[2, Infinity]*((19*S[-1, Infinity]^4)/96 - (3*S[-1, 1, 1, 1, Infinity])/
        4) + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(7*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(-49*S[-5, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/105 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (1623*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (307*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((3007*S[-1, Infinity]^2)/64 + (743*S[2, Infinity])/8)*S[5, Infinity] - 
     (239175*S[7, Infinity])/1024 + S[3, Infinity]*(S[-1, Infinity]^4/64 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/32 + (303*S[2, Infinity]^2)/40 - 
       (3*S[-1, 1, 1, 1, Infinity])/8) - 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/12 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(17*S[-5, -1, Infinity] - 
        192*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (3*(29*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
        128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 101*S[5, -1, -1, Infinity] - 
      384*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (804480*S[-7, -1, Infinity] + 130653*S[5, 3, Infinity] + 
     88320*S[-5, -1, -1, -1, Infinity] + 71680*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2 - 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, 1, 2, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/128 + (2337*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (372409*S[2, Infinity]^4)/235200 + 
   ((437*S[-1, Infinity]^2)/448 + (1283*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-15*S[-1, Infinity]*S[2, Infinity])/7 + 
     (1899*S[3, Infinity])/896)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-961*S[-1, Infinity]^4)/6720 + 
     (1031*S[-1, 1, 1, 1, Infinity])/280) + 
   (-3800*S[-7, -1, Infinity] - 969*S[5, 3, Infinity] - 
     320*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
     2016*S[-1, 1, 1, 1, Infinity]^2)/448 + S[1, Infinity]^2*
    ((9*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (59*S[2, Infinity]^3)/168 - 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (7*S[3, Infinity]^2)/8 - (5*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/16 + (3*S[-1, 1, 1, 1, Infinity])/
        2)) + S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (73*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (29*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((217*S[-1, Infinity]^2)/32 + (233*S[2, Infinity])/16)*S[5, Infinity] - 
     (19789*S[7, Infinity])/512 + (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (3*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 + (S[-1, Infinity]^2*S[2, Infinity])/
        8 + (271*S[2, Infinity]^2)/160 - 3*S[-1, 1, 1, 1, Infinity]) + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-143*S[-1, Infinity]^5)/840 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (101*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/288 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*(11*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[1, 1, 2, -1, 1, -2, Infinity] -> (5*S[-1, Infinity]^8)/384 + 
   (181*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (645611*S[2, Infinity]^4)/588000 + 
   ((601*S[-1, Infinity]^2)/1792 + (1717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2811*S[-1, Infinity]*S[2, Infinity])/448 + 
     (49981*S[3, Infinity])/7168)*S[5, Infinity] + 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]^2*((-5*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + 
     S[2, Infinity]^3/210 - (45*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 - (191*S[3, Infinity]^2)/256 - 
     (7*S[-5, -1, Infinity])/8 + S[2, Infinity]*(S[-1, Infinity]^4/24 - 
       S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    ((29*S[-1, Infinity]^4)/1120 + (9*S[-1, 1, 1, 1, Infinity])/70) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (3*(-47680*S[-7, -1, Infinity] - 6851*S[5, 3, Infinity] - 
      19200*S[-5, -1, -1, -1, Infinity] + 19200*S[-5, -1, 1, 1, Infinity] + 
      89600*S[-1, 1, 1, 1, Infinity]^2))/35840 + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (531*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1021*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((217*S[-1, Infinity]^2)/64 + (9089*S[2, Infinity])/448)*
      S[5, Infinity] - (405481*S[7, Infinity])/7168 - 
     (107*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (-107*S[-5, 1, 1, Infinity] - 205*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((-55*S[-1, Infinity]^4)/192 + 
       (125*S[-1, Infinity]^2*S[2, Infinity])/32 + (8003*S[2, Infinity]^2)/
        1120 + (55*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/120 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-291*S[-1, Infinity]^5)/2240 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (7069*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-91*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-285*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, 1, 2, -1, 1, 2, Infinity] -> (13*S[-1, Infinity]^8)/4032 + 
   (409*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (1604377*S[2, Infinity]^4)/168000 + 
   ((27403*S[-1, Infinity]^2)/1792 - (3615*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-6913*S[-1, Infinity]^3)/384 + 
     (5319*S[-1, Infinity]*S[2, Infinity])/448 + (3311*S[3, Infinity])/128)*
    S[5, Infinity] + (322597*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((127*S[-1, Infinity]^4)/320 + 
     (89*S[-1, 1, 1, 1, Infinity])/40) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-679*S[-1, Infinity]^5)/960 + 
     (277*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (9257*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (87*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (61*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-173*S[-1, Infinity]^6)/1440 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-84*S[-5, -1, Infinity] - 23*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/60 - 
     (43*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (5777*S[2, Infinity]^3)/
      3360 + (9*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (133*S[3, Infinity]^2)/128 + (155*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(S[-1, Infinity]^4/32 + (5*S[-1, 1, 1, 1, Infinity])/4) + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(-701*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (10391*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((2635*S[-1, Infinity]^2)/128 + (35253*S[2, Infinity])/896)*
      S[5, Infinity] - (364039*S[7, Infinity])/3584 + 
     S[3, Infinity]*((29*S[-1, Infinity]^4)/192 - 2*S[-1, Infinity]^2*
        S[2, Infinity] + (2859*S[2, Infinity]^2)/2240 - 
       (29*S[-1, 1, 1, 1, Infinity])/8) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/80 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(11*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (134*S[-5, 1, 1, Infinity] - 181*S[5, -1, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(375*S[-5, 1, 1, Infinity] - 157*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (339520*S[-7, -1, Infinity] + 45771*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 204800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, 1, 2, 1, -1, -2, Infinity] -> 
  S[-1, Infinity]^8/128 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (27955*S[2, Infinity]^4)/18816 + ((-657*S[-1, Infinity]^2)/1792 - 
     (981*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((219*S[-1, Infinity]*S[2, Infinity])/28 + (95423*S[3, Infinity])/7168)*
    S[5, Infinity] - (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - 
     (47*S[2, Infinity]^3)/840 - (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (129*S[3, Infinity]^2)/256 - 
     S[-5, -1, Infinity]/8 + S[2, Infinity]*(S[-1, Infinity]^4/48 - 
       S[-1, 1, 1, 1, Infinity]/2)) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((487*S[-1, Infinity]^4)/3360 + 
     (89*S[-1, 1, 1, 1, Infinity])/70) + 
   (-28736*S[-7, -1, Infinity] + 29767*S[5, 3, Infinity] + 
     18688*S[-5, -1, -1, -1, Infinity] - 18688*S[-5, -1, 1, 1, Infinity] + 
     32256*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[1, Infinity]*((7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/70 + 
     (275*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-217*S[-1, Infinity]^2)/64 + (177*S[2, Infinity])/224)*
      S[5, Infinity] - (14471*S[7, Infinity])/1792 - 
     (55*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-55*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-47*S[-1, Infinity]^4)/192 + 
       (61*S[-1, Infinity]^2*S[2, Infinity])/32 + (197*S[2, Infinity]^2)/
        224 + (47*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/120 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/1120 + 
     (67*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (11549*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (183*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-97*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(99*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[1, 1, 2, 1, -1, 2, Infinity] -> (79*S[-1, Infinity]^8)/8064 + 
   (1633*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (15357457*S[2, Infinity]^4)/2352000 + 
   ((755*S[-1, Infinity]^2)/256 + (28641*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4681*S[-1, Infinity]^3)/384 - 
     (1139*S[-1, Infinity]*S[2, Infinity])/128 + (16895*S[3, Infinity])/3584)*
    S[5, Infinity] - (429853*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/2240 + 
     (1877*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-1217*S[-1, Infinity]^5)/3360 + 
     (1307*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (253*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/60 + 
     (103*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (7837*S[2, Infinity]^3)/
      3360 + (35*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (177*S[3, Infinity]^2)/128 - (155*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/32 + (7*S[-1, 1, 1, 1, Infinity])/
        4) - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     4*(S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(31*S[-5, -1, Infinity] + 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/240 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (331*S[-5, -1, Infinity] + 
       952*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 181*S[5, -1, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/105 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (193*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (415*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-1891*S[-1, Infinity]^2)/128 - (4743*S[2, Infinity])/128)*
      S[5, Infinity] + (57273*S[7, Infinity])/512 + 
     S[3, Infinity]*((37*S[-1, Infinity]^4)/192 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 - (1293*S[2, Infinity]^2)/
        320 - (37*S[-1, 1, 1, 1, Infinity])/8) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/80 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(5*S[-5, -1, Infinity] - 
        32*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-8*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
       96*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-915520*S[-7, -1, Infinity] - 169269*S[5, 3, Infinity] - 
     137600*S[-5, -1, -1, -1, Infinity] - 14720*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 2, 1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^8/1152 - (391*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4830967*S[2, Infinity]^4)/1176000 + 
   ((-1503*S[-1, Infinity]^2)/896 + (1121*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 - 
     (531*S[-1, Infinity]*S[2, Infinity])/224 + (3665*S[3, Infinity])/896)*
    S[5, Infinity] - (24361*S[-1, Infinity]*S[7, Infinity])/896 + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity]))/
    14 + S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (13*S[2, Infinity]^3)/15 - (21*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 + (45*S[3, Infinity]^2)/128 - 
     (155*S[-1, Infinity]*S[5, Infinity])/64 - (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/32 - (3*S[-1, 1, 1, 1, Infinity])/
        4)) + S[1, Infinity]*((-3*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (397*S[-1, Infinity]*S[3, Infinity]^2)/448 - 
     (1495*S[2, Infinity]*S[5, Infinity])/448 + (8233*S[7, Infinity])/896 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 + (81*S[2, Infinity]^2)/280 + 
       (7*S[-1, 1, 1, 1, Infinity])/8)) + S[2, Infinity]^2*
    ((9*S[-1, Infinity]^4)/560 - (159*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 + (29*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-105120*S[-7, -1, Infinity] - 8761*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((159*S[-1, Infinity]^5)/2240 - 
     (379*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1691*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 2, 1, 1, 2, Infinity] -> 
  (1573*S[2, Infinity]^4)/525 - (S[2, Infinity]*S[3, Infinity]^2)/2 + 
   S[1, Infinity]^2*((59*S[2, Infinity]^3)/105 - S[3, Infinity]^2/2) - 
   4*S[3, Infinity]*S[5, Infinity] + S[1, Infinity]*
    ((6*S[2, Infinity]^2*S[3, Infinity])/5 + 4*S[2, Infinity]*
      S[5, Infinity] - 18*S[7, Infinity]), 
 S[1, -1, -1, -3, -1, -1, Infinity] -> -S[-1, Infinity]^8/315 - 
   (9669*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (4227*S[2, Infinity]^4)/8000 + ((95*S[-1, Infinity]^2)/224 + 
     (1747*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((13*S[-1, Infinity]^3)/16 - (19375*S[-1, Infinity]*S[2, Infinity])/224 - 
     (413*S[3, Infinity])/8)*S[5, Infinity] + 
   (110197*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((299*S[-1, Infinity]^4)/240 - 
     (9*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((115*S[-1, Infinity]^5)/192 - 
     (433*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (1707*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/360 + (219*S[-5, -1, Infinity])/
      4 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/120 + 
     (S[-1, Infinity]^5*S[2, Infinity])/8 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (467*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     ((5*S[-1, Infinity]^2*S[2, Infinity])/4 + (103*S[2, Infinity]^2)/70)*
      S[3, Infinity] - (929*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((635*S[-1, Infinity]^2)/64 + (9269*S[2, Infinity])/448)*
      S[5, Infinity] - (15065*S[7, Infinity])/448 + 
     (2*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/7 - 
     (S[-1, Infinity]*(31*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(1031*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-78*S[-5, 1, 1, Infinity] - 71*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-27840*S[-7, -1, Infinity] - 5351*S[5, 3, Infinity] - 
     4320*S[-5, -1, -1, -1, Infinity] - 2640*S[-5, -1, 1, 1, Infinity] - 
     960*S[-1, 1, 1, 1, Infinity]^2 + 3200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/160, S[1, -1, -1, -3, -1, 1, Infinity] -> 
  (-15*S[-1, Infinity]^8)/896 - (2763*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (254829*S[2, Infinity]^4)/784000 + 
   ((1145*S[-1, Infinity]^2)/896 + (14691*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((73*S[-1, Infinity]^3)/128 - 
     (45681*S[-1, Infinity]*S[2, Infinity])/896 - (118675*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((3907*S[-1, Infinity]^4)/6720 - (29*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/140 - 
     (353*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (24551*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (222*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + (2469*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(613*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/315 - 
     (27*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (1209*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1121*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((1301*S[-1, Infinity]^2)/128 + (11871*S[2, Infinity])/896)*
      S[5, Infinity] - (130843*S[7, Infinity])/7168 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 - (2551*S[2, Infinity]^2)/
        2240 - (7*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-47*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (166*S[-5, 1, 1, Infinity] - 121*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2342080*S[-7, -1, Infinity] - 430447*S[5, 3, Infinity] - 
     316160*S[-5, -1, -1, -1, Infinity] - 252800*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, -1, -3, 1, -1, Infinity] -> 
  (127*S[-1, Infinity]^8)/20160 + (1203*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (145753*S[2, Infinity]^4)/196000 + 
   ((-2161*S[-1, Infinity]^2)/896 - (5293*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((839*S[-1, Infinity]^3)/384 + 
     (15943*S[-1, Infinity]*S[2, Infinity])/896 + (27263*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((473*S[-1, Infinity]^4)/6720 + 
     (3*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((99*S[-1, Infinity]^5)/1120 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (68*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (101*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-187*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((73*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (13*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/120 - 
     (77*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (2343*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (185*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((681*S[-1, Infinity]^2)/128 + (10383*S[2, Infinity])/896)*
      S[5, Infinity] - (220341*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 + (2337*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-53*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (88*S[-5, 1, 1, Infinity] - 129*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (125120*S[-7, -1, Infinity] + 47363*S[5, 3, Infinity] + 
     53120*S[-5, -1, -1, -1, Infinity] - 15040*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, -1, -1, -3, 1, 1, Infinity] -> (-39*S[-1, Infinity]^8)/4480 - 
   (15*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (956931*S[2, Infinity]^4)/
    784000 + ((-1691*S[-1, Infinity]^2)/448 + (4175*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1861*S[-1, Infinity]^3)/192 - 
     (7421*S[-1, Infinity]*S[2, Infinity])/448 - (51473*S[3, Infinity])/3584)*
    S[5, Infinity] - (235257*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((809*S[-1, Infinity]^4)/6720 - 
     (459*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((2281*S[-1, Infinity]^5)/6720 - 
     (965*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (10377*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (37*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (297*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1021*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(391*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-86*S[-5, 1, 1, Infinity] + 131*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/630 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-35*S[-1, Infinity]^2)/16 + (137*S[2, Infinity])/56)*S[5, Infinity] + 
     (3729*S[7, Infinity])/1792 + S[3, Infinity]*(-S[-1, Infinity]^4/48 - 
       S[-1, Infinity]^2*S[2, Infinity] - (9*S[2, Infinity]^2)/1120 - 
       (5*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/20 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(33*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-590560*S[-7, -1, Infinity] - 102031*S[5, 3, Infinity] - 
     76800*S[-5, -1, -1, -1, Infinity] - 46400*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, 3, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/1920 + (3657*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (160339*S[2, Infinity]^4)/196000 + 
   ((-1933*S[-1, Infinity]^2)/896 - (16845*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((311*S[-1, Infinity]^3)/192 + 
     (55361*S[-1, Infinity]*S[2, Infinity])/896 + (144677*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((-8969*S[-1, Infinity]^4)/6720 - (761*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (1150400*S[-7, -1, Infinity] + 212299*S[5, 3, Infinity] + 
     177280*S[-5, -1, -1, -1, Infinity] + 118400*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-263*S[-1, Infinity]^5)/1120 + 
     (677*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (46271*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (789*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-561*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((349*S[-1, Infinity]^6)/1440 - 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2411*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((3*S[-1, Infinity]^7)/280 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1733*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-(S[-1, Infinity]^2*S[2, Infinity]) + (15*S[2, Infinity]^2)/56)*
      S[3, Infinity] + (57*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-497*S[-1, Infinity]^2)/128 - (2971*S[2, Infinity])/896)*
      S[5, Infinity] - (16367*S[7, Infinity])/1792 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 - S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-17*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, -1, 3, -1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/1260 + 
   (659*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (2526467*S[2, Infinity]^4)/784000 + 
   ((-1333*S[-1, Infinity]^2)/256 - (10623*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((283*S[-1, Infinity]^3)/24 + 
     (4491*S[-1, Infinity]*S[2, Infinity])/128 + (118383*S[3, Infinity])/
      7168)*S[5, Infinity] - (43245*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/84 + 
     (83*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-307*S[-1, Infinity]^5)/1344 + 
     (919*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6059*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (225*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((21*S[-1, Infinity]^6)/160 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(-64*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-41*S[-5, 1, 1, Infinity] + 106*S[5, -1, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/630 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (79*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (409*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-1799*S[-1, Infinity]^2)/128 - (15815*S[2, Infinity])/896)*
      S[5, Infinity] + (70123*S[7, Infinity])/1792 - 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (167*S[2, Infinity]^2)/280 + 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-2*S[-1, Infinity]^5)/15 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 5*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-29*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (1267520*S[-7, -1, Infinity] + 244077*S[5, 3, Infinity] + 
     218880*S[-5, -1, -1, -1, Infinity] + 220160*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 3, 1, -1, Infinity] -> 
  (121*S[-1, Infinity]^8)/5760 - (187*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (4451033*S[2, Infinity]^4)/784000 + 
   ((2409*S[-1, Infinity]^2)/1792 + (14199*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((497*S[-1, Infinity]^3)/192 - 
     (8357*S[-1, Infinity]*S[2, Infinity])/896 - (200999*S[3, Infinity])/
      7168)*S[5, Infinity] - (2683*S[-1, Infinity]*S[7, Infinity])/256 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((853*S[-1, Infinity]^4)/1120 + 
     (551*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-171*S[-1, Infinity]^5)/2240 + (157*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (11789*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (53*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (475*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-97*S[-1, Infinity]^6)/360 + (1489*S[-5, -1, Infinity])/
      56 + 5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(79*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^7)/280 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/16 - 
     (619*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-39*S[-1, Infinity]^2)/32 - (3919*S[2, Infinity])/448)*
      S[5, Infinity] + (3055*S[7, Infinity])/224 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 - (457*S[2, Infinity]^2)/560 - 
       S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (4*S[-1, Infinity]*(-2*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (67*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-2110400*S[-7, -1, Infinity] - 381877*S[5, 3, Infinity] - 
     229120*S[-5, -1, -1, -1, Infinity] - 335360*S[-5, -1, 1, 1, Infinity] + 
     268800*S[-1, 1, 1, 1, Infinity]^2 + 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 3, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/336 - (157*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (4367*S[2, Infinity]^4)/4000 + ((-7*S[-1, Infinity]^2)/16 + 
     (255*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((125*S[-1, Infinity]^3)/192 + (317*S[-1, Infinity]*S[2, Infinity])/128 + 
     (11*S[3, Infinity])/128)*S[5, Infinity] + 
   S[2, Infinity]^2*((101*S[-1, Infinity]^4)/480 - 
     (61*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/480 - (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (473*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 + (53*S[-5, -1, Infinity])/8 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (23*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^4)/96 + (S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (1297*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (451*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((23*S[-1, Infinity]^2)/32 + (57*S[2, Infinity])/448)*S[5, Infinity] + 
     (5659*S[7, Infinity])/1792 + S[2, Infinity]*(-S[-1, Infinity]^5/60 - 
       S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (39*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-6080*S[-7, -1, Infinity] + 3557*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 7040*S[-5, -1, 1, 1, Infinity] + 
     20480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, -1, 1, -3, -1, -1, Infinity] -> -S[-1, Infinity]^8/2520 + 
   (5479*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (13821*S[2, Infinity]^4)/16000 + ((11*S[-1, Infinity]^2)/16 - 
     (35*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-77*S[-1, Infinity]^3)/96 + (1681*S[-1, Infinity]*S[2, Infinity])/64 + 
     (15533*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/60 - 
     (21*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/4 + 
     (55*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (195*S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     23*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
    (-7*S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/360 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-123*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(S[-1, Infinity]^7/360 - 
     (91*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1263*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (101*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((991*S[-1, Infinity]^2)/128 + (12597*S[2, Infinity])/896)*
      S[5, Infinity] - (304749*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 + (5087*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/24 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-99*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (64*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (181120*S[-7, -1, Infinity] + 34179*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] + 24960*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, -1, 1, -3, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/420 + (1769*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (760511*S[2, Infinity]^4)/784000 + 
   ((-333*S[-1, Infinity]^2)/64 - (65*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((1225*S[-1, Infinity]^3)/96 + (1457*S[-1, Infinity]*S[2, Infinity])/64 + 
     (7691*S[3, Infinity])/448)*S[5, Infinity] - 
   (63409*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-709*S[-1, Infinity]^4)/560 + 
     (293*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-173*S[-1, Infinity]^5)/672 + (137*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (479*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (265*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(15*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (2*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((4*S[-1, Infinity]^7)/315 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/32 + 
     ((7*S[-1, Infinity]^4)/96 + (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (659*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (1731*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-745*S[-1, Infinity]^2)/128 - (11339*S[2, Infinity])/896)*
      S[5, Infinity] + (202523*S[7, Infinity])/7168 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/60 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(61*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-96*S[-5, 1, 1, Infinity] + 107*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-269120*S[-7, -1, Infinity] - 15091*S[5, 3, Infinity] - 
     9600*S[-5, -1, -1, -1, Infinity] - 8320*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 1, -3, 1, -1, Infinity] -> 
  (601*S[-1, Infinity]^8)/20160 - (621*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (67261*S[2, Infinity]^4)/392000 + 
   ((2343*S[-1, Infinity]^2)/896 + (10793*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((393*S[-1, Infinity]^3)/64 - 
     (9375*S[-1, Infinity]*S[2, Infinity])/448 - (10487*S[3, Infinity])/1792)*
    S[5, Infinity] - (163313*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((281*S[-1, Infinity]^4)/1680 + 
     (276*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-1159*S[-1, Infinity]^5)/3360 + (163*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (6593*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (103*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/48 + (104*S[-5, -1, Infinity])/7 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(181*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-47*S[-1, Infinity]^7)/2520 + 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (249*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (1321*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-295*S[-1, Infinity]^2)/64 - (725*S[2, Infinity])/448)*
      S[5, Infinity] - (1151*S[7, Infinity])/3584 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (67*S[2, Infinity]^2)/112 - 
       S[-1, 1, 1, 1, Infinity]) + (2*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/120 + 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(19*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + 85*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-690240*S[-7, -1, Infinity] - 130017*S[5, 3, Infinity] - 
     112640*S[-5, -1, -1, -1, Infinity] - 30720*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 1, -3, 1, 1, Infinity] -> 
  (55*S[-1, Infinity]^8)/4032 - (267*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (8523*S[2, Infinity]^4)/24500 + 
   ((177*S[-1, Infinity]^2)/224 + (783*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((13*S[-1, Infinity]^3)/16 - 
     (1251*S[-1, Infinity]*S[2, Infinity])/112 - (1101*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((29*S[-1, Infinity]^4)/420 - 
     (93*S[-1, 1, 1, 1, Infinity])/35) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-127*S[-1, Infinity]^5)/1680 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (3637*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (127*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/720 - (65*S[-5, -1, Infinity])/
      28 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(27*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (223*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (199*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((23*S[-1, Infinity]^2)/32 + (755*S[2, Infinity])/56)*S[5, Infinity] - 
     (10279*S[7, Infinity])/224 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/32 + 
       (49*S[-1, Infinity]^2*S[2, Infinity])/16 + (6409*S[2, Infinity]^2)/
        1120 + (27*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/12 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (2*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (-25520*S[-7, -1, Infinity] - 10751*S[5, 3, Infinity] - 
     9600*S[-5, -1, -1, -1, Infinity] + 4000*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 22400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, -1, 1, 3, -1, -1, Infinity] -> 
  (59*S[-1, Infinity]^8)/5040 - (197*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (1108789*S[2, Infinity]^4)/784000 + 
   ((53*S[-1, Infinity]^2)/128 + (36293*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((931*S[-1, Infinity]^3)/192 - 
     (6917*S[-1, Infinity]*S[2, Infinity])/128 - (263393*S[3, Infinity])/
      7168)*S[5, Infinity] - (90191*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((1219*S[-1, Infinity]^4)/1680 + 
     (73*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((167*S[-1, Infinity]^5)/840 - (197*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (12063*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (689*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-119*S[-1, Infinity]^6)/720 + (2281*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(105*S[-5, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-41*S[-1, Infinity]^7)/2520 + 
     (71*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (41*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (727*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-109*S[-1, Infinity]^2)/64 + (1287*S[2, Infinity])/448)*
      S[5, Infinity] - (11955*S[7, Infinity])/3584 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/32 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (871*S[2, Infinity]^2)/1120 - 
       S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/120 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(109*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (17*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 71*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4743360*S[-7, -1, Infinity] - 899671*S[5, 3, Infinity] - 
     692480*S[-5, -1, -1, -1, Infinity] - 445440*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 3, -1, 1, Infinity] -> 
  (5*S[-1, Infinity]^8)/2016 - (341*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (176233*S[2, Infinity]^4)/78400 + ((459*S[-1, Infinity]^2)/1792 + 
     (4609*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((467*S[-1, Infinity]^3)/384 - (4731*S[-1, Infinity]*S[2, Infinity])/224 - 
     (107935*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((1703*S[-1, Infinity]^4)/3360 + 
     (61*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((127*S[-1, Infinity]^5)/1120 - (31*S[-1, Infinity]^3*S[2, Infinity])/
      42 - (25909*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (577*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/720 + (230*S[-5, -1, Infinity])/
      7 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(183*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/630 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (223*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (339*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((247*S[-1, Infinity]^2)/128 + (1975*S[2, Infinity])/896)*
      S[5, Infinity] - (114101*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/16 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 + (793*S[2, Infinity]^2)/
        448 + (13*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(75*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(17*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-71600*S[-7, -1, Infinity] - 12581*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/896, 
 S[1, -1, 1, 3, 1, -1, Infinity] -> S[-1, Infinity]^8/80 + 
   (487*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (5193*S[2, Infinity]^4)/14000 + ((215*S[-1, Infinity]^2)/256 - 
     (19*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((95*S[-1, Infinity]^3)/384 + (207*S[-1, Infinity]*S[2, Infinity])/64 + 
     (387*S[3, Infinity])/256)*S[5, Infinity] + 
   (12160*S[-7, -1, Infinity] + 1991*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((43*S[-1, Infinity]^4)/96 - 
     (11*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/80 + (S[-1, Infinity]^3*S[2, Infinity])/
      12 + (157*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-23*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-41*S[-1, Infinity]^7)/2520 - 
     (271*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (67*S[-1, Infinity]*S[2, Infinity]^3)/70 - 
     (4567*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((1115*S[-1, Infinity]^2)/128 + (16759*S[2, Infinity])/896)*
      S[5, Infinity] - (19751*S[7, Infinity])/448 + 
     (57*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 + (4371*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (57*S[-5, 1, 1, Infinity] - 83*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, 1, 3, 1, 1, Infinity] -> S[-1, Infinity]^8/280 - 
   (197*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (806651*S[2, Infinity]^4)/784000 + 
   ((-1073*S[-1, Infinity]^2)/448 + (16663*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((535*S[-1, Infinity]^3)/48 - 
     (6609*S[-1, Infinity]*S[2, Infinity])/896 - (59655*S[3, Infinity])/7168)*
    S[5, Infinity] - (402351*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/84 + (15*S[-1, 1, 1, 1, Infinity])/
      14) + S[3, Infinity]*((53*S[-1, Infinity]^5)/672 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (29693*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (75*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (643*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(339*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-108*S[-5, 1, 1, Infinity] + 
      207*S[5, -1, -1, Infinity] + 560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*((-2*S[-1, Infinity]^7)/315 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (345*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-35*S[-1, Infinity]^2)/16 - (1507*S[2, Infinity])/448)*
      S[5, Infinity] + (86335*S[7, Infinity])/7168 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (659*S[2, Infinity]^2)/
        448 - (7*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2800320*S[-7, -1, Infinity] - 475579*S[5, 3, Infinity] - 
     354560*S[-5, -1, -1, -1, Infinity] - 218880*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, -3, -1, -1, Infinity] -> 
  (169*S[-1, Infinity]^8)/13440 - (3511*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1037947*S[2, Infinity]^4)/784000 + 
   ((1185*S[-1, Infinity]^2)/448 + (2243*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-295*S[-1, Infinity]^3)/192 - 
     (3653*S[-1, Infinity]*S[2, Infinity])/112 - (81841*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((8107*S[-1, Infinity]^4)/6720 + 
     (111*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((93*S[-1, Infinity]^5)/1120 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (4649*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (279*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-301*S[-1, Infinity]^6)/1440 + 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (845*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/40 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (509*S[2, Infinity]^3)/
      1120 + (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 - 
     (25*S[3, Infinity]^2)/64 + (15*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/6 - S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (17*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(151*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-89*S[-1, Infinity]^7)/2520 - 
     (133*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (499*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((1179*S[-1, Infinity]^2)/128 + (1937*S[2, Infinity])/128)*
      S[5, Infinity] - (27809*S[7, Infinity])/1024 + 
     3*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/8 + (125*S[2, Infinity]^2)/64 + 
       (7*S[-1, 1, 1, 1, Infinity])/4) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((11*S[-1, Infinity]^5)/60 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       S[-1, 1, 1, 1, 1, Infinity]) + (12*S[-5, 1, 1, Infinity] - 
       17*S[5, -1, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-865920*S[-7, -1, Infinity] - 195611*S[5, 3, Infinity] - 
     181760*S[-5, -1, -1, -1, Infinity] - 73600*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -3, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/1440 - (3293*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (16097*S[2, Infinity]^4)/15680 + 
   ((-1081*S[-1, Infinity]^2)/448 + (2917*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((3595*S[-1, Infinity]^3)/384 - 
     (22195*S[-1, Infinity]*S[2, Infinity])/896 - (50353*S[3, Infinity])/
      3584)*S[5, Infinity] - (312667*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((3271*S[-1, Infinity]^4)/3360 - 
     (12*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((403*S[-1, Infinity]^5)/1344 - 
     (745*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (7387*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (465*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(407*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-149*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (195*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]^2*((3*S[-1, Infinity]^6)/80 + 
     (149*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (27*S[2, Infinity]^3)/70 + (13*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 + (77*S[3, Infinity]^2)/64 + 
     (15*S[-1, Infinity]*S[5, Infinity])/64 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-11*S[-1, Infinity]^4)/48 + 
       S[-1, 1, 1, 1, Infinity]) + (-17*S[-5, -1, Infinity] + 
       24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-206*S[-5, 1, 1, Infinity] + 
      109*S[5, -1, -1, Infinity] + 560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*((-127*S[-1, Infinity]^7)/2520 - 
     (211*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (489*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (899*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-27*S[-1, Infinity]^2)/16 - (671*S[2, Infinity])/448)*S[5, Infinity] + 
     (29501*S[7, Infinity])/1792 + S[3, Infinity]*(S[-1, Infinity]^4/48 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (493*S[2, Infinity]^2)/
        448 - S[-1, 1, 1, 1, Infinity]/2) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/40 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-29*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-61*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-343744*S[-7, -1, Infinity] - 57779*S[5, 3, Infinity] - 
     46848*S[-5, -1, -1, -1, Infinity] - 30208*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, 1, -1, -3, 1, -1, Infinity] -> 
  (-403*S[-1, Infinity]^8)/40320 + (241*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (1975787*S[2, Infinity]^4)/784000 + 
   ((-2927*S[-1, Infinity]^2)/896 - (193*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((599*S[-1, Infinity]^3)/128 + 
     (4989*S[-1, Infinity]*S[2, Infinity])/896 + (40501*S[3, Infinity])/3584)*
    S[5, Infinity] - (135971*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (139*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-477*S[-1, Infinity]^4)/560 - 
     (249*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((57*S[-1, Infinity]^5)/2240 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (271*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/360 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-25*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^4*S[2, Infinity])/16 + 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (2*S[2, Infinity]^3)/5 + 
     ((-7*S[-1, Infinity]^3)/48 - (15*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (5*S[3, Infinity]^2)/16 + 
     (15*S[-1, Infinity]*S[5, Infinity])/64 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-5*S[-5, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-104*S[-5, 1, 1, Infinity] + 29*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/140 - 
     (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (279*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((7*S[-1, Infinity]^4)/32 - (5*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (647*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (1517*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-681*S[-1, Infinity]^2)/128 - (617*S[2, Infinity])/896)*
      S[5, Infinity] + (23115*S[7, Infinity])/7168 - 
     (93*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-142*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-242240*S[-7, -1, Infinity] - 391*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -3, 1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/2016 + (87*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (900463*S[2, Infinity]^4)/392000 + 
   ((27*S[-1, Infinity]^2)/224 - (405*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((5*S[-1, Infinity]^3)/64 - (1047*S[-1, Infinity]*S[2, Infinity])/448 - 
     (10169*S[3, Infinity])/1792)*S[5, Infinity] + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/70 + 
     (99*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/336 - 
     (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (29*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-19*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/72 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (29*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^3)/48 + (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (29*S[3, Infinity]^2)/64 + 
     (15*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/252 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (71*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (95*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-23*S[-1, Infinity]^2)/32 + (1121*S[2, Infinity])/448)*
      S[5, Infinity] - (14107*S[7, Infinity])/896 - 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 + (1189*S[2, Infinity]^2)/
        280 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-19*S[-5, 1, 1, Infinity] - 
       12*S[5, -1, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (-37440*S[-7, -1, Infinity] - 27421*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, 3, -1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/672 + (3897*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (8011*S[2, Infinity]^4)/6125 + 
   ((-2383*S[-1, Infinity]^2)/896 - (19023*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((209*S[-1, Infinity]^3)/96 + 
     (4649*S[-1, Infinity]*S[2, Infinity])/112 + (156603*S[3, Infinity])/
      7168)*S[5, Infinity] - (13113*S[-1, Infinity]*S[7, Infinity])/512 - 
   (339*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-317*S[-1, Infinity]^4)/280 + 
     (15*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-507*S[-1, Infinity]^5)/2240 + 
     (1031*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (10343*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (109*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/45 - (821*S[-5, -1, Infinity])/56 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/60 + 
     (S[-1, Infinity]^4*S[2, Infinity])/6 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - 
     (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - S[3, Infinity]^2/4 + 
     (27*S[-1, Infinity]*S[5, Infinity])/16 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 7*S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((73*S[-1, Infinity]^7)/2520 + 
     (51*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (109*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (4847*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-333*S[-1, Infinity]^2)/32 - (4951*S[2, Infinity])/224)*
      S[5, Infinity] + (83645*S[7, Infinity])/1792 - 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 - 
       (33*S[-1, Infinity]^2*S[2, Infinity])/16 - (139*S[2, Infinity]^2)/70 + 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/40 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-11*S[-5, 1, 1, Infinity] + 
       52*S[5, -1, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (1737920*S[-7, -1, Infinity] + 418783*S[5, 3, Infinity] + 
     398080*S[-5, -1, -1, -1, Infinity] + 130560*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 3, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/640 + (289*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (34449*S[2, Infinity]^4)/112000 + 
   ((-27*S[-1, Infinity]^2)/32 - (1621*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-35*S[-1, Infinity]^3)/48 + 
     (253*S[-1, Infinity]*S[2, Infinity])/16 + (7803*S[3, Infinity])/512)*
    S[5, Infinity] - 3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/192 + 
     (41*S[-1, 1, 1, 1, Infinity])/40) + 
   (126720*S[-7, -1, Infinity] + 26763*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] + 17920*S[-5, -1, 1, 1, Infinity] + 
     6400*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/80 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (2473*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/180 - (41*S[-5, -1, Infinity])/2 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 - 
     (23*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (11*S[2, Infinity]^3)/
      160 - (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (169*S[3, Infinity]^2)/256 + (27*S[-1, Infinity]*S[5, Infinity])/16 + 
     S[2, Infinity]*(S[-1, Infinity]^4/16 - S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[-1, Infinity]^7/504 - (S[-1, Infinity]^5*S[2, Infinity])/
      15 + (41*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (111*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-15*S[-1, Infinity]^2)/2 - (2627*S[2, Infinity])/224)*S[5, Infinity] + 
     (75499*S[7, Infinity])/3584 - (29*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/32 - (2453*S[2, Infinity]^2)/
        2240 - (7*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-29*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, 1, -1, 3, 1, -1, Infinity] -> (-113*S[-1, Infinity]^8)/20160 - 
   (257*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (19831*S[2, Infinity]^4)/16000 + ((309*S[-1, Infinity]^2)/128 + 
     (949*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-1675*S[-1, Infinity]^3)/384 - (423*S[-1, Infinity]*S[2, Infinity])/32 - 
     (1165*S[3, Infinity])/128)*S[5, Infinity] + 
   S[2, Infinity]^2*((229*S[-1, Infinity]^4)/960 + 
     (9*S[-1, 1, 1, 1, Infinity])/40) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/120 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (141*S[-1, Infinity]*S[2, Infinity]^2)/80 + S[-1, 1, 1, 1, 1, Infinity]/
      2) - (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-101*S[-1, Infinity]^6)/1440 - 6*S[-5, -1, Infinity] + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/144 - 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (247*S[2, Infinity]^3)/
      1120 + ((-7*S[-1, Infinity]^3)/48 + (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] - (217*S[3, Infinity]^2)/256 - 
     (125*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/16 + S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 + 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (197*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (35*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((481*S[-1, Infinity]^2)/64 + (819*S[2, Infinity])/128)*S[5, Infinity] - 
     (11263*S[7, Infinity])/1024 + (7*S[-1, Infinity]*S[-5, -1, Infinity])/
      4 + S[3, Infinity]*((29*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (127*S[2, Infinity]^2)/320 - 
       2*S[-1, 1, 1, 1, Infinity]) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/30 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) + (7*S[-5, 1, 1, Infinity] - 
       3*S[5, -1, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (10560*S[-7, -1, Infinity] - 5631*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2 - 30720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, 1, -1, 3, 1, 1, Infinity] -> 
  (163*S[-1, Infinity]^8)/40320 - (23*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (14971*S[2, Infinity]^4)/11200 + 
   ((-1909*S[-1, Infinity]^2)/896 + (371*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((1487*S[-1, Infinity]^3)/384 + 
     (3557*S[-1, Infinity]*S[2, Infinity])/224 - (17*S[3, Infinity])/1024)*
    S[5, Infinity] - (85751*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/320 + 
     (41*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/320 - (5*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (957*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (99*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-27*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/180 - 
     (S[-1, Infinity]^4*S[2, Infinity])/24 + (23*S[2, Infinity]^3)/160 + 
     ((-7*S[-1, Infinity]^3)/48 + (3*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (47*S[3, Infinity]^2)/128 - 
     (125*S[-1, Infinity]*S[5, Infinity])/128 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-5*S[-5, -1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-53*S[-5, 1, 1, Infinity] + 66*S[5, -1, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/180 - 
     (491*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1377*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-23*S[-1, Infinity]^2)/32 - (14291*S[2, Infinity])/896)*
      S[5, Infinity] + (264163*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (1909*S[2, Infinity]^2)/
        2240 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-1, Infinity]*(13*S[-5, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-57*S[-5, 1, 1, Infinity] + 111*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-30912*S[-7, -1, Infinity] - 4695*S[5, 3, Infinity] - 
     1792*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     1536*S[-1, 1, 1, 1, Infinity]^2 + 18432*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[1, 1, 1, -3, -1, -1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/4032 + (279*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1707887*S[2, Infinity]^4)/784000 + 
   ((-927*S[-1, Infinity]^2)/448 - (493*S[2, Infinity])/168)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (1737*S[-1, Infinity]*S[2, Infinity])/448 + (4497*S[3, Infinity])/3584)*
    S[5, Infinity] + (34011*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((179*S[-1, Infinity]^4)/3360 - 
     (319*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/72 + 
     (S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/240 - 
     (S[2, Infinity]*S[3, Infinity])/12 + (5*S[5, Infinity])/64 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3) + 
   S[3, Infinity]*((1171*S[-1, Infinity]^5)/5040 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/1680 - 
     (10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((53*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (5*S[-5, -1, Infinity] + 
       7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/90 - 
     (S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (2*S[2, Infinity]^3)/5 + 
     ((7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (3*S[3, Infinity]^2)/8 + 
     (155*S[-1, Infinity]*S[5, Infinity])/64 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] - 36*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/140 - 
     (7*S[-1, Infinity]^5*S[2, Infinity])/120 + 
     (63*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (73*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-31*S[-1, Infinity]^2)/64 + (1731*S[2, Infinity])/448)*
      S[5, Infinity] - (1591*S[7, Infinity])/3584 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-23*S[-1, Infinity]^4)/96 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (69*S[2, Infinity]^2)/140 + 
       S[-1, 1, 1, 1, Infinity]/2) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (11*S[-5, 1, 1, Infinity] - 
       17*S[5, -1, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (146560*S[-7, -1, Infinity] + 46981*S[5, 3, Infinity] + 
     51200*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, -3, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/1008 + (75*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (24063*S[2, Infinity]^4)/56000 + 
   ((-9*S[-1, Infinity]^2)/64 - S[2, Infinity]/24)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/192 + (223*S[-1, Infinity]*S[2, Infinity])/64 + 
     (1913*S[3, Infinity])/384)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/240 + S[-1, 1, 1, 1, Infinity]/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/360 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (241*S[-1, Infinity]*S[2, Infinity]^2)/480 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/6) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/360 + (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/60 - 
     (13*S[2, Infinity]*S[3, Infinity])/48 + (85*S[5, Infinity])/96 + 
     S[-1, 1, 1, 1, 1, Infinity]/3) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/720 + 
     (S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (9*S[2, Infinity]^3)/56 + 
     ((7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (81*S[3, Infinity]^2)/64 + 
     (-S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/1260 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((31*S[-1, Infinity]^2)/64 - (589*S[2, Infinity])/448)*S[5, Infinity] + 
     (66431*S[7, Infinity])/3584 + (13*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 - 
       S[-1, Infinity]^2*S[2, Infinity] - (2791*S[2, Infinity]^2)/560 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/24 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (26*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (160*S[-7, -1, Infinity] + 289*S[5, 3, Infinity] + 
     320*S[-5, -1, -1, -1, Infinity] - 160*S[-5, -1, 1, 1, Infinity] - 
     960*S[-1, 1, 1, 1, Infinity]^2 + 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/320, S[1, 1, 1, -3, 1, -1, Infinity] -> 
  (-83*S[-1, Infinity]^8)/4032 - (123*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (43523*S[2, Infinity]^4)/56000 + 
   ((-13*S[-1, Infinity]^2)/24 - S[2, Infinity]/2)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 - (31*S[-1, Infinity]*S[2, Infinity])/16 - 
     (739*S[3, Infinity])/256)*S[5, Infinity] + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/16 + S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/36 - 
     (49*S[-1, Infinity]^3*S[2, Infinity])/144 - 
     (59*S[-1, Infinity]*S[2, Infinity]^2)/48 - 
     (35*S[-1, 1, 1, 1, 1, Infinity])/6) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 - (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/60 + 
     ((-7*S[-1, Infinity]^2)/48 - S[2, Infinity]/8)*S[3, Infinity] - 
     (13*S[5, Infinity])/32 - (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^6)/80 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (19*S[2, Infinity]^3)/70 + 
     (7*S[-1, Infinity]^3*S[3, Infinity])/16 + S[3, Infinity]^2/8 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^4)/48 + S[-1, 1, 1, 1, Infinity]) + 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   S[2, Infinity]*((61*S[-1, Infinity]^6)/720 - S[-5, -1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((29*S[-1, Infinity]^7)/630 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (597*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     ((155*S[-1, Infinity]^2)/64 - (171*S[2, Infinity])/64)*S[5, Infinity] + 
     (517*S[7, Infinity])/128 + 2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/32 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/16 - (227*S[2, Infinity]^2)/80 - 
       (15*S[-1, 1, 1, 1, Infinity])/4) - 
     (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/6 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (5120*S[-7, -1, Infinity] + 561*S[5, 3, Infinity] + 
     640*S[-5, -1, 1, 1, Infinity] - 2560*S[-1, 1, 1, 1, Infinity]^2 - 
     12800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[1, 1, 1, -3, 1, 1, Infinity] -> -S[-1, Infinity]^8/48 - 
   (51*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (28243*S[2, Infinity]^4)/
    14000 + ((-65*S[-1, Infinity]^2)/12 + (19*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (23*S[-1, Infinity]*S[2, Infinity])/64 - (581*S[3, Infinity])/128)*
    S[5, Infinity] - (63*S[-1, Infinity]*S[7, Infinity])/8 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/120 - 
     (19*S[-1, 1, 1, 1, Infinity])/10) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*((167*S[-1, Infinity]^5)/360 - 
     (319*S[-1, Infinity]^3*S[2, Infinity])/144 - 
     (429*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (20*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/6) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/90 - (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     ((-7*S[-1, Infinity]^2)/48 + S[2, Infinity]/16)*S[3, Infinity] + 
     (5*S[5, Infinity])/64 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, 1, 1, 1, 1, Infinity]/3) - 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/24 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (19*S[2, Infinity]^3)/70 + 
     ((7*S[-1, Infinity]^3)/16 - (7*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] - (3*S[3, Infinity]^2)/16 - 
     (93*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      ((11*S[-1, Infinity]^4)/48 - S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (39*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   2*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[-1, Infinity]^7/21 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/4 - 
     (17*S[2, Infinity]*S[5, Infinity])/4 + (1525*S[7, Infinity])/128 - 
     2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
     2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/32 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 + (11*S[2, Infinity]^2)/10 + 
       (9*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-4*S[-1, Infinity]^5)/15 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     S[-1, Infinity]*(-S[-5, -1, Infinity] + 
       12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-14080*S[-7, -1, Infinity] - 1227*S[5, 3, Infinity] - 
     2560*S[-5, -1, 1, 1, Infinity] - 1280*S[-1, 1, 1, 1, Infinity]^2 + 
     12800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/640, 
 S[1, 1, 1, 3, -1, -1, Infinity] -> S[-1, Infinity]^8/336 - 
   (141*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (83763*S[2, Infinity]^4)/392000 + ((-79*S[-1, Infinity]^2)/1344 - 
     (235*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/64 - (1419*S[-1, Infinity]*S[2, Infinity])/896 - 
     (67693*S[3, Infinity])/10752)*S[5, Infinity] + 
   S[2, Infinity]^2*((-293*S[-1, Infinity]^4)/3360 + 
     (13*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-307*S[-1, Infinity]^5)/10080 - (361*S[-1, Infinity]^3*S[2, Infinity])/
      504 - (1879*S[-1, Infinity]*S[2, Infinity]^2)/840 - 
     (281*S[-1, 1, 1, 1, 1, Infinity])/84) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/360 - (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((7*S[-1, Infinity]^2)/48 + (5*S[2, Infinity])/16)*S[3, Infinity] - 
     (311*S[5, Infinity])/384 - S[-1, 1, 1, 1, 1, Infinity]/3) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 + (101*S[-5, -1, Infinity])/56 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (23*S[2, Infinity]^3)/160 + 
     ((-7*S[-1, Infinity]^3)/24 - (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (111*S[3, Infinity]^2)/128 + 
     (5*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/140 + 
     (7*S[-1, Infinity]^5*S[2, Infinity])/120 - 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     ((7*S[-1, Infinity]^4)/32 - (5*S[-1, Infinity]^2*S[2, Infinity])/8 + 
       (113*S[2, Infinity]^2)/70)*S[3, Infinity] + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/64 - (1345*S[2, Infinity])/896)*S[5, Infinity] - 
     (29529*S[7, Infinity])/3584 - (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-8000*S[-7, -1, Infinity] - 4749*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 4160*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, 1, 1, 3, -1, 1, Infinity] -> (11*S[-1, Infinity]^8)/4032 - 
   S[-1, Infinity]^2*S[2, Infinity]^3 + (600671*S[2, Infinity]^4)/392000 + 
   ((-1063*S[-1, Infinity]^2)/1344 + (18331*S[2, Infinity])/2688)*
    S[3, Infinity]^2 + ((899*S[-1, Infinity]^3)/192 - 
     (3907*S[-1, Infinity]*S[2, Infinity])/896 - (31883*S[3, Infinity])/7168)*
    S[5, Infinity] - (327937*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/3360 + 
     (71*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/672 - 
     (38*S[-1, Infinity]^3*S[2, Infinity])/63 - 
     (34283*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (293*S[-1, 1, 1, 1, 1, Infinity])/84) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((7*S[-1, Infinity]^2)/48 - S[2, Infinity]/96)*S[3, Infinity] + 
     (9*S[5, Infinity])/16 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(73*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/720 - 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (97*S[2, Infinity]^3)/224 + 
     ((-7*S[-1, Infinity]^3)/24 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (243*S[3, Infinity]^2)/256 - 
     (527*S[-1, Infinity]*S[5, Infinity])/128 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (389*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-44*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/180 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (67*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     ((7*S[-1, Infinity]^4)/32 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (1123*S[2, Infinity]^2)/1120)*S[3, Infinity] + 
     (1217*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-31*S[-1, Infinity]^2)/16 - (12777*S[2, Infinity])/896)*
      S[5, Infinity] + (268879*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(9*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-53*S[-5, 1, 1, Infinity] + 143*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1439680*S[-7, -1, Infinity] - 266373*S[5, 3, Infinity] - 
     195840*S[-5, -1, -1, -1, Infinity] - 90880*S[-5, -1, 1, 1, Infinity] + 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, 3, 1, -1, Infinity] -> (5*S[-1, Infinity]^8)/4032 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (318077*S[2, Infinity]^4)/
    784000 + ((15*S[-1, Infinity]^2)/16 + (353*S[2, Infinity])/336)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (47*S[-1, Infinity]*S[2, Infinity])/32 + (70537*S[3, Infinity])/21504)*
    S[5, Infinity] - (47051*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/1120 - 
     (47*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/90 + 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/16 - (S[2, Infinity]*S[3, Infinity])/
      96 - (125*S[5, Infinity])/384 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, 1, 1, 1, 1, Infinity]/3) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-253*S[-1, Infinity]^5)/5040 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/504 + 
     (259*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/42) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/80 - (S[-1, Infinity]^4*S[2, Infinity])/24 + 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - S[3, Infinity]^2/256 + 
     (93*S[-1, Infinity]*S[5, Infinity])/128 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - (47*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/315 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/32 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/4 - (53*S[2, Infinity]^2)/224)*
      S[3, Infinity] - (457*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-31*S[-1, Infinity]^2)/32 - (855*S[2, Infinity])/224)*S[5, Infinity] + 
     (68555*S[7, Infinity])/7168 + (5*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-23360*S[-7, -1, Infinity] - 29593*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, 3, 1, 1, Infinity] -> (-36*S[2, Infinity]^4)/35 - 
   (S[1, Infinity]^2*S[3, Infinity]^2)/4 + (S[2, Infinity]*S[3, Infinity]^2)/
    12 + S[1, Infinity]^3*((S[2, Infinity]*S[3, Infinity])/6 - 
     S[5, Infinity]/12) + (29*S[3, Infinity]*S[5, Infinity])/6 + 
   S[1, Infinity]*((-3*S[2, Infinity]^2*S[3, Infinity])/10 - 
     (S[2, Infinity]*S[5, Infinity])/4 + 3*S[7, Infinity]) + 
   S[5, 3, Infinity], S[1, -1, -1, -2, -2, -1, Infinity] -> 
  (229*S[-1, Infinity]^8)/5040 + (1347*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (3775521*S[2, Infinity]^4)/392000 + 
   ((85*S[-1, Infinity]^2)/128 - (3813*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((9*S[-1, Infinity]^3)/64 + 
     (8347*S[-1, Infinity]*S[2, Infinity])/128 - (40771*S[3, Infinity])/1792)*
    S[5, Infinity] + (120615*S[-1, Infinity]*S[7, Infinity])/7168 - 
   2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/140 + 
     (408*S[-1, 1, 1, 1, Infinity])/35) + 
   (3*(6080*S[-7, -1, Infinity] + 5049*S[5, 3, Infinity] + 
      9920*S[-5, -1, -1, -1, Infinity] - 9920*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2))/2240 + 
   S[3, Infinity]*((-701*S[-1, Infinity]^5)/2240 + 
     (841*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (679*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (87*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (471*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/72 + (186*S[-5, -1, Infinity])/7 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (41*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((-41*S[-1, Infinity]^7)/1260 - 
     (157*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/4 - 
     (467*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((125*S[-1, Infinity]^2)/32 - (115*S[2, Infinity])/32)*S[5, Infinity] - 
     (1511*S[7, Infinity])/64 + S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (45*S[-1, Infinity]^2*S[2, Infinity])/8 - (29*S[2, Infinity]^2)/20 - 
       3*S[-1, 1, 1, 1, Infinity]) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/30 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-7*S[-5, -1, Infinity] - 
        24*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     8*(S[-5, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]*(87*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, -1, -1, -2, -2, 1, Infinity] -> (199*S[-1, Infinity]^8)/8064 + 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (5767331*S[2, Infinity]^4)/
    784000 + ((-4231*S[-1, Infinity]^2)/1792 - (2389*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((41*S[-1, Infinity]^3)/16 + 
     (5685*S[-1, Infinity]*S[2, Infinity])/224 + (13709*S[3, Infinity])/7168)*
    S[5, Infinity] - (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((991*S[-1, Infinity]^4)/6720 + 
     (2299*S[-1, 1, 1, 1, Infinity])/280) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-617*S[-1, Infinity]^5)/6720 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (48233*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-263*S[-1, Infinity]^6)/1440 + (857*S[-5, -1, Infinity])/
      28 + (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(-25*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/126 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (493*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1529*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((95*S[-1, Infinity]^2)/64 - (423*S[2, Infinity])/224)*S[5, Infinity] - 
     (48617*S[7, Infinity])/7168 + S[3, Infinity]*(S[-1, Infinity]^4/24 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (5111*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-11*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (137*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-935360*S[-7, -1, Infinity] + 6801*S[5, 3, Infinity] + 
     257280*S[-5, -1, -1, -1, Infinity] - 490240*S[-5, -1, 1, 1, Infinity] + 
     376320*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, -2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/63 - (763*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (362063*S[2, Infinity]^4)/78400 + ((5739*S[-1, Infinity]^2)/1792 + 
     (34591*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((41*S[-1, Infinity]^3)/16 - (72381*S[-1, Infinity]*S[2, Infinity])/896 - 
     (6775*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((-125*S[-1, Infinity]^4)/336 - 
     (257*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-817*S[-1, Infinity]^5)/6720 - 
     (675*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (13689*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (243*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (37*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (5*S[-1, Infinity]^2*(163*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/1260 + 
     (197*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (43*S[-1, Infinity]*S[2, Infinity]^3)/16 + 
     (163*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((529*S[-1, Infinity]^2)/64 + (13399*S[2, Infinity])/448)*
      S[5, Infinity] - (274485*S[7, Infinity])/3584 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 + 
       (99*S[-1, Infinity]^2*S[2, Infinity])/16 + (6121*S[2, Infinity]^2)/
        1120 + (5*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-4*S[-1, Infinity]^5)/15 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (16*S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (16*S[-5, 1, 1, Infinity] - 159*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-669248*S[-7, -1, Infinity] - 155529*S[5, 3, Infinity] - 
     154880*S[-5, -1, -1, -1, Infinity] + 15104*S[-5, -1, 1, 1, Infinity] - 
     28672*S[-1, 1, 1, 1, Infinity]^2 + 172032*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, -1, -2, 2, 1, Infinity] -> 
  (229*S[-1, Infinity]^8)/13440 - (101*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (784029*S[2, Infinity]^4)/392000 + 
   ((10597*S[-1, Infinity]^2)/1792 + (21293*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((297*S[-1, Infinity]^3)/128 - 
     (34133*S[-1, Infinity]*S[2, Infinity])/896 - (30543*S[3, Infinity])/
      7168)*S[5, Infinity] - (5525*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-893*S[-1, Infinity]^4)/2240 + 
     (1489*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-839*S[-1, Infinity]^5)/2240 + 
     (111*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (24751*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (297*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(451*S[-5, -1, Infinity] - 
      560*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-79*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (521*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/90 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (93*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (667*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((1089*S[-1, Infinity]^2)/128 + (25303*S[2, Infinity])/896)*
      S[5, Infinity] - (8405*S[7, Infinity])/112 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 + (3007*S[2, Infinity]^2)/
        1120 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(109*S[-5, -1, Infinity] - 
        448*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (115*S[-5, 1, 1, Infinity] - 242*S[5, -1, -1, Infinity] - 
       784*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(83*S[-5, 1, 1, Infinity] + 76*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2323520*S[-7, -1, Infinity] - 455733*S[5, 3, Infinity] - 
     520960*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 2, -2, -1, Infinity] -> 
  (65*S[-1, Infinity]^8)/8064 + (11*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (901273*S[2, Infinity]^4)/784000 + 
   ((-1875*S[-1, Infinity]^2)/896 - (1313*S[2, Infinity])/896)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/48 + 
     (541*S[-1, Infinity]*S[2, Infinity])/112 - (5923*S[3, Infinity])/448)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((7177*S[-1, Infinity]^4)/6720 + 
     (341*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((149*S[-1, Infinity]^5)/560 - 
     (145*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (274*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (251*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-223*S[-5, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (829*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1260 - 
     (349*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (757*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (271*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-89*S[-1, Infinity]^2)/128 - (2343*S[2, Infinity])/896)*
      S[5, Infinity] + (182159*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-23*S[-1, Infinity]^4)/192 - 
       (45*S[-1, Infinity]^2*S[2, Infinity])/32 - (751*S[2, Infinity]^2)/
        560 - (5*S[-1, 1, 1, 1, Infinity])/8) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((19*S[-1, Infinity]^5)/240 - (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-29*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (4*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-37840*S[-7, -1, Infinity] - 1833*S[5, 3, Infinity] + 
     1600*S[-5, -1, -1, -1, Infinity] - 15040*S[-5, -1, 1, 1, Infinity] - 
     1120*S[-1, 1, 1, 1, Infinity]^2 - 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, -1, -1, 2, -2, 1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/560 - (397*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1228341*S[2, Infinity]^4)/784000 + 
   ((-11191*S[-1, Infinity]^2)/1792 + (589*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2875*S[-1, Infinity]^3)/384 + 
     (13855*S[-1, Infinity]*S[2, Infinity])/896 - (121763*S[3, Infinity])/
      7168)*S[5, Infinity] - (160787*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((613*S[-1, Infinity]^4)/2240 - 
     (1279*S[-1, 1, 1, 1, Infinity])/280) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*((403*S[-1, Infinity]^5)/840 - 
     (373*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (13687*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (25*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (277*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-92*S[-5, 1, 1, Infinity] + 125*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/90 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (15*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (649*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-525*S[-1, Infinity]^2)/64 - (6721*S[2, Infinity])/448)*
      S[5, Infinity] + (171473*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-31*S[-1, Infinity]^4)/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (305*S[2, Infinity]^2)/448 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-44*S[-5, 1, 1, Infinity] + 75*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (105920*S[-7, -1, Infinity] - 56079*S[5, 3, Infinity] + 
     37120*S[-5, -1, -1, -1, Infinity] - 55040*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 2, 2, -1, Infinity] -> 
  (-1727*S[-1, Infinity]^8)/40320 - (53*S[-1, Infinity]^2*S[2, Infinity]^3)/
    16 - (171441*S[2, Infinity]^4)/56000 + 
   ((-6367*S[-1, Infinity]^2)/896 - (75*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((1267*S[-1, Infinity]^3)/192 + 
     (1207*S[-1, Infinity]*S[2, Infinity])/448 + (3093*S[3, Infinity])/256)*
    S[5, Infinity] - (89855*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/160 - 
     (54*S[-1, 1, 1, 1, Infinity])/5) + 
   (15*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (3*(-25120*S[-7, -1, Infinity] - 2459*S[5, 3, Infinity] - 
      5120*S[-5, -1, 1, 1, Infinity] + 4480*S[-1, 1, 1, 1, Infinity]^2))/
    1280 - (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((221*S[-1, Infinity]^5)/480 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (443*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     16*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((319*S[-1, Infinity]^6)/1440 - 30*S[-5, -1, Infinity] - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(227*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((41*S[-1, Infinity]^7)/1260 + 
     (269*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (291*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (521*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-371*S[-1, Infinity]^2)/32 - (643*S[2, Infinity])/32)*S[5, Infinity] + 
     (4323*S[7, Infinity])/64 - (4*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[3, Infinity]*
      ((-3*S[-1, Infinity]^4)/32 + (9*S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (35*S[2, Infinity]^2)/32 + (9*S[-1, 1, 1, 1, Infinity])/4) + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/240 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] + 
        48*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
     8*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]*(-90*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[1, -1, -1, 2, 2, 1, Infinity] -> (-17*S[-1, Infinity]^8)/1008 - 
   (381*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (630153*S[2, Infinity]^4)/156800 + 
   ((403*S[-1, Infinity]^2)/448 - (1971*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/48 - 
     (731*S[-1, Infinity]*S[2, Infinity])/224 + (1161*S[3, Infinity])/448)*
    S[5, Infinity] + S[2, Infinity]^2*((-307*S[-1, Infinity]^4)/3360 - 
     (393*S[-1, 1, 1, 1, Infinity])/140) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/112 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((4*S[-1, Infinity]^6)/45 - (1131*S[-5, -1, Infinity])/56 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-139*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/126 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (53*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (47*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-153*S[-1, Infinity]^2)/64 - (4827*S[2, Infinity])/448)*
      S[5, Infinity] + (152233*S[7, Infinity])/3584 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/24 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (687*S[2, Infinity]^2)/224 - 
       5*S[-1, 1, 1, 1, Infinity]) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-89*S[-5, -1, Infinity] + 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-22*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (36384*S[-7, -1, Infinity] + 3695*S[5, 3, Infinity] + 
     192*S[-5, -1, -1, -1, Infinity] + 7200*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[1, -1, 1, -2, -2, -1, Infinity] -> 
  (43*S[-1, Infinity]^8)/2016 - (1327*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2110147*S[2, Infinity]^4)/784000 + 
   ((1731*S[-1, Infinity]^2)/896 + (1307*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/32 - 
     (11625*S[-1, Infinity]*S[2, Infinity])/448 - (116407*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((3509*S[-1, Infinity]^4)/3360 - (13*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((391*S[-1, Infinity]^5)/6720 - 
     (353*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (32449*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (391*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-89*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-85*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-37*S[-1, Infinity]^7)/1260 - 
     (259*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (141*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (11*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-89*S[-1, Infinity]^2)/128 + (7691*S[2, Infinity])/896)*
      S[5, Infinity] + (14067*S[7, Infinity])/1792 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 + (431*S[2, Infinity]^2)/
        1120 + S[-1, 1, 1, 1, Infinity]/2) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/60 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 10*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(29*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-39*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-411200*S[-7, -1, Infinity] - 206727*S[5, 3, Infinity] - 
     244480*S[-5, -1, -1, -1, Infinity] + 47360*S[-5, -1, 1, 1, Infinity] - 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -2, -2, 1, Infinity] -> S[-1, Infinity]^8/315 + 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/8 + 
   (857*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1173*S[2, Infinity]^4)/22400 + ((-2977*S[-1, Infinity]^2)/1792 - 
     (53*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((917*S[-1, Infinity]^3)/128 + (15531*S[-1, Infinity]*S[2, Infinity])/
      896 + (323*S[3, Infinity])/256)*S[5, Infinity] - 
   (142057*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/960 + 
     (49*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (7519*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (13*S[-5, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-99*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-59*S[-5, 1, 1, Infinity] + 158*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/210 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (89*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-15*S[-1, Infinity]^2*S[2, Infinity])/32 - (621*S[2, Infinity]^2)/320)*
      S[3, Infinity] + (167*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-525*S[-1, Infinity]^2)/64 - (1085*S[2, Infinity])/64)*
      S[5, Infinity] + (24313*S[7, Infinity])/512 + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     S[-1, Infinity]*(-S[-5, -1, Infinity] + 
       12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (-7*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity] + 
       48*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, -1, 1, -2, 2, -1, Infinity] -> (-19*S[-1, Infinity]^8)/840 - 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (14699*S[2, Infinity]^4)/31360 + ((-7691*S[-1, Infinity]^2)/896 - 
     (10243*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((567*S[-1, Infinity]^3)/64 + (11055*S[-1, Infinity]*S[2, Infinity])/448 + 
     (54225*S[3, Infinity])/7168)*S[5, Infinity] - 
   (21415*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-2693*S[-1, Infinity]^4)/3360 - 
     (751*S[-1, 1, 1, 1, Infinity])/140) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((577*S[-1, Infinity]^5)/3360 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (15711*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (151*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/240 - (277*S[-5, -1, Infinity])/
      28 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(39*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      64*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/60 + 
     (179*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (127*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (5711*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-371*S[-1, Infinity]^2)/32 - (1261*S[2, Infinity])/56)*
      S[5, Infinity] + (221257*S[7, Infinity])/3584 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 - (559*S[2, Infinity]^2)/280 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/20 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(109*S[-5, -1, Infinity] + 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-72*S[-5, 1, 1, Infinity] + 103*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (263616*S[-7, -1, Infinity] + 50405*S[5, 3, Infinity] + 
     40704*S[-5, -1, -1, -1, Infinity] + 20224*S[-5, -1, 1, 1, Infinity] - 
     43008*S[-1, 1, 1, 1, Infinity]^2 + 28672*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, 1, -2, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/224 - (1093*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1382961*S[2, Infinity]^4)/784000 + 
   ((101*S[-1, Infinity]^2)/896 - (1431*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/32 - 
     (835*S[-1, Infinity]*S[2, Infinity])/224 - (37771*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((299*S[-1, Infinity]^4)/1680 - 
     (89*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-157*S[-1, Infinity]^5)/1680 + 
     (9*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (6943*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (39*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 - (733*S[-5, -1, Infinity])/
      56 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/126 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (373*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1289*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-153*S[-1, Infinity]^2)/64 - (4593*S[2, Infinity])/448)*
      S[5, Infinity] + (292609*S[7, Infinity])/7168 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/12 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/2 - (1285*S[2, Infinity]^2)/448 - 
       (13*S[-1, 1, 1, 1, Infinity])/2) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/6 - 
       4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       6*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-33*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (31*S[-5, 1, 1, Infinity] + 115*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (963520*S[-7, -1, Infinity] + 36189*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] + 192000*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 2, -2, -1, Infinity] -> 
  (183*S[-1, Infinity]^8)/4480 + (661*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (1741647*S[2, Infinity]^4)/784000 + 
   ((5687*S[-1, Infinity]^2)/896 + (2521*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-47*S[-1, Infinity]^3)/24 - 
     (3459*S[-1, Infinity]*S[2, Infinity])/896 + (155115*S[3, Infinity])/
      7168)*S[5, Infinity] - (17831*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (15*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1387*S[-1, Infinity]^4)/3360 + 
     (394*S[-1, 1, 1, 1, Infinity])/35) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-4231*S[-1, Infinity]^5)/6720 + 
     (107*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (32649*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (121*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (195*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-67*S[-1, Infinity]^6)/480 - (843*S[-5, -1, Infinity])/
      56 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/60 + 
     (79*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (73*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (739*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((125*S[-1, Infinity]^2)/32 + (2045*S[2, Infinity])/112)*
      S[5, Infinity] - (54195*S[7, Infinity])/896 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (41*S[-1, Infinity]^2*S[2, Infinity])/8 + (327*S[2, Infinity]^2)/140 - 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-19*S[-1, Infinity]^5)/80 + 
       (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(17*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-33*S[-5, 1, 1, Infinity] - 166*S[5, -1, -1, Infinity] - 
       784*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(62*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (173120*S[-7, -1, Infinity] - 12147*S[5, 3, Infinity] - 
     124160*S[-5, -1, -1, -1, Infinity] + 240640*S[-5, -1, 1, 1, Infinity] + 
     591360*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 2, -2, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/896 - (529*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (93131*S[2, Infinity]^4)/98000 + 
   ((599*S[-1, Infinity]^2)/1792 + (437*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((89*S[-1, Infinity]^3)/192 + 
     (1355*S[-1, Infinity]*S[2, Infinity])/896 + (3597*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((109*S[-1, Infinity]^4)/448 - 
     (117*S[-1, 1, 1, 1, Infinity])/56) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-253*S[-1, Infinity]^5)/6720 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3369*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (64*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-91*S[-1, Infinity]^6)/1440 + (447*S[-5, -1, Infinity])/
      56 + (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/126 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (5699*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((95*S[-1, Infinity]^2)/64 + (4799*S[2, Infinity])/224)*S[5, Infinity] - 
     (126221*S[7, Infinity])/1792 + S[3, Infinity]*
      ((-2*S[-1, Infinity]^4)/3 + (143*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (19781*S[2, Infinity]^2)/2240 + (25*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/6 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (8*S[-1, Infinity]*(6*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-157*S[-5, 1, 1, Infinity] - 220*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-323200*S[-7, -1, Infinity] - 26031*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 56960*S[-5, -1, 1, 1, Infinity] + 
     188160*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 1, 2, 2, -1, Infinity] -> 
  (-277*S[-1, Infinity]^8)/8064 - (243*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1752301*S[2, Infinity]^4)/392000 + 
   ((3063*S[-1, Infinity]^2)/1792 + (8657*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-407*S[-1, Infinity]^3)/192 + 
     (3833*S[-1, Infinity]*S[2, Infinity])/896 - (80887*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((1271*S[-1, Infinity]^4)/6720 - 
     (389*S[-1, 1, 1, 1, Infinity])/280) + 
   (9*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((563*S[-1, Infinity]^5)/3360 + 
     (491*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (667*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (229*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((151*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1749*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((37*S[-1, Infinity]^7)/1260 - 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (2899*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (3313*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((529*S[-1, Infinity]^2)/64 - (3553*S[2, Infinity])/448)*
      S[5, Infinity] - (17765*S[7, Infinity])/7168 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/192 - 
       (163*S[-1, Infinity]^2*S[2, Infinity])/32 - (491*S[2, Infinity]^2)/
        224 - (19*S[-1, 1, 1, 1, Infinity])/8) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((17*S[-1, Infinity]^5)/240 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       10*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(-53*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (180*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-502080*S[-7, -1, Infinity] - 50287*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 113600*S[-5, -1, 1, 1, Infinity] - 
     67200*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 1, 2, 2, 1, Infinity] -> 
  (-233*S[-1, Infinity]^8)/40320 - (1237*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (163*S[2, Infinity]^4)/3200 + 
   ((-2405*S[-1, Infinity]^2)/1792 + (305*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-907*S[-1, Infinity]^3)/384 - 
     (323*S[-1, Infinity]*S[2, Infinity])/28 - (395*S[3, Infinity])/64)*
    S[5, Infinity] + (118619*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-21*S[-1, Infinity]^4)/80 + 
     (21*S[-1, 1, 1, 1, Infinity])/20) + 
   (-19904*S[-7, -1, Infinity] - 2161*S[5, 3, Infinity] - 
     1024*S[-5, -1, -1, -1, Infinity] - 3072*S[-5, -1, 1, 1, Infinity] - 
     768*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/32 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (7741*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     15*S[-1, 1, 1, 1, 1, Infinity]) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(215*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((9*S[-1, Infinity]^6)/160 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (65*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(S[-1, Infinity]^7/210 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (243*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (1793*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1089*S[-1, Infinity]^2)/128 + (2005*S[2, Infinity])/896)*
      S[5, Infinity] - (2131*S[7, Infinity])/112 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/64 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (3001*S[2, Infinity]^2)/
        2240 - (15*S[-1, 1, 1, 1, Infinity])/8) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/30 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-83*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (52*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-76*S[-5, 1, 1, Infinity] - 83*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, 1, -1, -2, -2, -1, Infinity] -> (-17*S[-1, Infinity]^8)/640 - 
   (813*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (189963*S[2, Infinity]^4)/196000 + 
   ((1545*S[-1, Infinity]^2)/1792 + (519*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-649*S[-1, Infinity]^3)/192 - 
     (6539*S[-1, Infinity]*S[2, Infinity])/448 - (13943*S[3, Infinity])/3584)*
    S[5, Infinity] + (29*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-3607*S[-1, Infinity]^4)/6720 + 
     (513*S[-1, 1, 1, 1, Infinity])/280) + 
   (40640*S[-7, -1, Infinity] - 30549*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/2240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (981*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/20 - 
     (73*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (183*S[2, Infinity]^3)/
      280 + (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (25*S[3, Infinity]^2)/256 - (123*S[-1, Infinity]*S[5, Infinity])/32 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^4/12 + 2*S[-1, 1, 1, 1, Infinity]) - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(139*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/480 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-241*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((79*S[-1, Infinity]^7)/1260 + 
     (409*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1119*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((337*S[-1, Infinity]^2)/128 - (8397*S[2, Infinity])/896)*
      S[5, Infinity] + (48379*S[7, Infinity])/3584 - 
     (2*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((41*S[-1, Infinity]^4)/192 - 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 - (7369*S[2, Infinity]^2)/
        2240 - (41*S[-1, 1, 1, 1, Infinity])/8) - 
     (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-19*S[-1, Infinity]^5)/80 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + (-4*S[-5, 1, 1, Infinity] + 
       59*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14), S[1, 1, -1, -2, -2, 1, Infinity] -> (-53*S[-1, Infinity]^8)/5040 - 
   (681*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (416517*S[2, Infinity]^4)/392000 + 
   ((-1877*S[-1, Infinity]^2)/1792 - (2809*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2507*S[-1, Infinity]^3)/384 - 
     (571*S[-1, Infinity]*S[2, Infinity])/448 + (80205*S[3, Infinity])/7168)*
    S[5, Infinity] + (20245*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-219*S[-1, Infinity]^4)/2240 - 
     (743*S[-1, 1, 1, 1, Infinity])/280) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((347*S[-1, Infinity]^5)/2240 - 
     (349*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (5207*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/56) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/60 - (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
     (45*S[2, Infinity]^3)/112 - (15*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 + (17*S[3, Infinity]^2)/32 - 
     (123*S[-1, Infinity]*S[5, Infinity])/32 + S[2, Infinity]*
      (S[-1, Infinity]^4/12 - S[-1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-499*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-31*S[-5, 1, 1, Infinity] - 122*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/630 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (43*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (783*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((185*S[-1, Infinity]^2)/32 - (155*S[2, Infinity])/56)*S[5, Infinity] + 
     (14067*S[7, Infinity])/1792 - (4*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[3, Infinity]*
      ((-19*S[-1, Infinity]^4)/192 + (17*S[-1, Infinity]^2*S[2, Infinity])/
        16 + (793*S[2, Infinity]^2)/560 + (19*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/60 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(29*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-39*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (492480*S[-7, -1, Infinity] + 145629*S[5, 3, Infinity] + 
     147200*S[-5, -1, -1, -1, Infinity] + 49920*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, -2, 2, -1, Infinity] -> 
  (-323*S[-1, Infinity]^8)/40320 + (3627*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1293*S[2, Infinity]^4)/320 + 
   ((-1867*S[-1, Infinity]^2)/448 - (291*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-647*S[-1, Infinity]^3)/384 + 
     (5149*S[-1, Infinity]*S[2, Infinity])/448 + (219*S[3, Infinity])/64)*
    S[5, Infinity] + (103431*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((319*S[-1, Infinity]^4)/480 - 
     (12*S[-1, 1, 1, 1, Infinity])/5) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((39*S[-1, Infinity]^5)/80 - 
     (49*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (5457*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/180 + 
     (113*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (38*S[2, Infinity]^3)/35 + 
     ((7*S[-1, Infinity]^3)/24 + (19*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (45*S[3, Infinity]^2)/32 - 
     (89*S[-1, Infinity]*S[5, Infinity])/128 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 4*(S[-5, -1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/160 + 7*S[-5, -1, Infinity] - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-269*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-65*S[-5, 1, 1, Infinity] - 107*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/420 - 
     (203*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (729*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1097*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((123*S[-1, Infinity]^2)/32 - (2259*S[2, Infinity])/896)*
      S[5, Infinity] + (141713*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/32 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/8 - (557*S[2, Infinity]^2)/
        1120 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((37*S[-1, Infinity]^5)/240 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(97*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (116*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2336*S[-7, -1, Infinity] + 1169*S[5, 3, Infinity] + 
     2048*S[-5, -1, -1, -1, Infinity] - 1536*S[-5, -1, 1, 1, Infinity] - 
     1152*S[-1, 1, 1, 1, Infinity]^2 + 6144*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[1, 1, -1, -2, 2, 1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/1008 + (471*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (2332783*S[2, Infinity]^4)/784000 + 
   ((-297*S[-1, Infinity]^2)/448 - (29*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-89*S[-1, Infinity]^3)/384 + (12049*S[-1, Infinity]*S[2, Infinity])/
      896 + (19935*S[3, Infinity])/3584)*S[5, Infinity] - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/224 + (165*S[-1, 1, 1, 1, Infinity])/
      28) + S[3, Infinity]*((391*S[-1, Infinity]^5)/1680 + 
     (33*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (6821*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (97*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/36 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (589*S[2, Infinity]^3)/1120 + 
     ((7*S[-1, Infinity]^3)/24 + (7*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] + (99*S[3, Infinity]^2)/64 - 
     (89*S[-1, Infinity]*S[5, Infinity])/128 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^4/12 + 
       S[-1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-7*S[-5, -1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/45 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (181*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/126 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (1691*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (905*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((153*S[-1, Infinity]^2)/64 - (12359*S[2, Infinity])/896)*
      S[5, Infinity] + (30643*S[7, Infinity])/896 + 
     (181*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 - 
       (33*S[-1, Infinity]^2*S[2, Infinity])/8 - (4539*S[2, Infinity]^2)/
        560 - (19*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/10 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (181*S[-5, 1, 1, Infinity] + 
       132*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-219840*S[-7, -1, Infinity] + 80179*S[5, 3, Infinity] + 
     84480*S[-5, -1, -1, -1, Infinity] - 115840*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 2, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/140 - (377*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (8047147*S[2, Infinity]^4)/784000 + 
   ((7501*S[-1, Infinity]^2)/896 + (4531*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-165*S[-1, Infinity]^3)/32 - 
     (8209*S[-1, Infinity]*S[2, Infinity])/224 + (244619*S[3, Infinity])/
      7168)*S[5, Infinity] - (1069*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-1003*S[-1, Infinity]^4)/3360 + 
     (51*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-4577*S[-1, Infinity]^5)/6720 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (21391*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (51*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (202*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/240 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-899*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/180 - 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (10*S[2, Infinity]^3)/7 + 
     ((-7*S[-1, Infinity]^3)/24 - (11*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (33*S[3, Infinity]^2)/64 + 
     (33*S[-1, Infinity]*S[5, Infinity])/64 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 2*(S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (3*S[-1, Infinity]^2*(13*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/420 + 
     (79*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (1441*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (1973*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((123*S[-1, Infinity]^2)/32 + (11437*S[2, Infinity])/448)*
      S[5, Infinity] - (222305*S[7, Infinity])/3584 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/48 + 
       (95*S[-1, Infinity]^2*S[2, Infinity])/16 + (403*S[2, Infinity]^2)/
        140 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-13*S[-1, Infinity]^5)/60 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (2*S[-1, Infinity]*(25*S[-5, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-58*S[-5, 1, 1, Infinity] - 121*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(65*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1016000*S[-7, -1, Infinity] - 417*S[5, 3, Infinity] - 
     275200*S[-5, -1, -1, -1, Infinity] + 544000*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 2, -2, 1, Infinity] -> 
  (131*S[-1, Infinity]^8)/8064 - (451*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1763063*S[2, Infinity]^4)/392000 + 
   ((1905*S[-1, Infinity]^2)/896 + (6621*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((11*S[-1, Infinity]^3)/64 - 
     (12249*S[-1, Infinity]*S[2, Infinity])/448 - (24235*S[3, Infinity])/
      3584)*S[5, Infinity] + (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/6720 - 
     (2263*S[-1, 1, 1, 1, Infinity])/280) - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1481*S[-1, Infinity]^5)/6720 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (14039*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (60*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(-72*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/36 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (153*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^3)/24 - (13*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (303*S[3, Infinity]^2)/256 + 
     (33*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/12 - S[-1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/126 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (177*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (4185*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-95*S[-1, Infinity]^2)/64 + (1279*S[2, Infinity])/56)*S[5, Infinity] - 
     (226581*S[7, Infinity])/3584 - (123*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (133*S[-1, Infinity]^2*S[2, Infinity])/32 + (13567*S[2, Infinity]^2)/
        1120 + (23*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(S[-1, Infinity]^5/10 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-123*S[-5, 1, 1, Infinity] - 
       109*S[5, -1, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (17600*S[-7, -1, Infinity] - 127623*S[5, 3, Infinity] - 
     166400*S[-5, -1, -1, -1, Infinity] + 184320*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 2, 2, -1, Infinity] -> 
  (7*S[-1, Infinity]^8)/240 + (811*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (11093*S[2, Infinity]^4)/2800 + ((-261*S[-1, Infinity]^2)/256 - 
     (1873*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((47*S[-1, Infinity]^3)/48 + (2871*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2593*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]^2*((39*S[-1, Infinity]^4)/160 - S[-1, 1, 1, 1, Infinity]/
      20) - (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (1408*S[-7, -1, Infinity] + 457*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 384*S[-5, -1, 1, 1, Infinity] + 
     256*S[-1, 1, 1, 1, Infinity]^2)/64 + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/240 + (151*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (1059*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/20 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (97*S[2, Infinity]^3)/280 - 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (61*S[3, Infinity]^2)/64 + (125*S[-1, Infinity]*S[5, Infinity])/32 + 
     2*S[-5, -1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^4/12 - 
       2*S[-1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity]) + S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (25*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((-79*S[-1, Infinity]^7)/1260 - 
     (137*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (51*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (61*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-591*S[-1, Infinity]^2)/64 - (921*S[2, Infinity])/64)*S[5, Infinity] + 
     (8037*S[7, Infinity])/256 - S[-1, Infinity]*S[-5, -1, Infinity] - 
     S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
     (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/16 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/8 - (27*S[2, Infinity]^2)/160 + 
       (9*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/10 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]), S[1, 1, -1, 2, 2, 1, Infinity] -> 
  (51*S[-1, Infinity]^8)/4480 + (1753*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (352511*S[2, Infinity]^4)/392000 + 
   ((2027*S[-1, Infinity]^2)/1792 - (15335*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-833*S[-1, Infinity]^3)/384 + 
     (19401*S[-1, Infinity]*S[2, Infinity])/896 + (31145*S[3, Infinity])/
      3584)*S[5, Infinity] + (102787*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((337*S[-1, Infinity]^4)/2240 + 
     (599*S[-1, 1, 1, 1, Infinity])/280) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/840 + 
     (81*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (435*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (129*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/288 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-101*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/60 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (661*S[2, Infinity]^3)/1120 - 
     (119*S[3, Infinity]^2)/128 + (125*S[-1, Infinity]*S[5, Infinity])/32 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^4/12 + S[-1, 1, 1, 1, Infinity]) + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (19*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-243*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/630 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (373*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (33*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-779*S[-1, Infinity]^2)/128 - (8877*S[2, Infinity])/896)*
      S[5, Infinity] + (122249*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (6961*S[2, Infinity]^2)/
        2240 - 3*S[-1, 1, 1, 1, Infinity]) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/60 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (12*S[-5, 1, 1, Infinity] + 89*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(40*S[-5, 1, 1, Infinity] - 51*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (701760*S[-7, -1, Infinity] + 152899*S[5, 3, Infinity] + 
     135680*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, -2, -2, -1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/8064 - (27*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (1136129*S[2, Infinity]^4)/784000 + 
   ((157*S[-1, Infinity]^2)/896 - (11505*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/96 + 
     (1839*S[-1, Infinity]*S[2, Infinity])/224 - (34623*S[3, Infinity])/7168)*
    S[5, Infinity] + (254431*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/168 - 
     (75*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((137*S[-1, Infinity]^5)/2240 + 
     (55*S[-1, Infinity]^3*S[2, Infinity])/252 + 
     (13891*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (179*S[-1, 1, 1, 1, 1, Infinity])/84) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/120 - (41*S[5, Infinity])/32 + 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-25*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/60 - 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - (61*S[2, Infinity]^3)/70 - 
     (15*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (113*S[3, Infinity]^2)/128 + (217*S[-1, Infinity]*S[5, Infinity])/64 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (3*S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/126 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (1131*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1973*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((31*S[-1, Infinity]^2)/16 + (893*S[2, Infinity])/224)*S[5, Infinity] - 
     (193083*S[7, Infinity])/7168 + S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 + (73*S[2, Infinity]^2)/140 - 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(15*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (81*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 115*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1227200*S[-7, -1, Infinity] + 231981*S[5, 3, Infinity] + 
     218880*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 1, -2, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 + (39*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (18127*S[2, Infinity]^4)/22400 + ((-35*S[-1, Infinity]^2)/128 - 
     (35*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   S[1, Infinity]^2*((17*S[2, Infinity]^3)/112 - (115*S[3, Infinity]^2)/
      256) + S[1, Infinity]^3*((5*S[2, Infinity]*S[3, Infinity])/32 - 
     (29*S[5, Infinity])/192) - (3821*S[3, Infinity]*S[5, Infinity])/1536 + 
   S[1, Infinity]*((-21*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/64 - 
     (311*S[2, Infinity]*S[5, Infinity])/64 + (2191*S[7, Infinity])/256 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 - (31*S[2, Infinity]^2)/64 - 
       2*S[-1, 1, 1, 1, Infinity])) + S[2, Infinity]^2*
    ((-43*S[-1, Infinity]^4)/320 + (39*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) - 
   (3*(17*S[5, 3, Infinity] + 256*S[-1, 1, 1, 1, Infinity]^2))/512 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/960 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (273*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[1, 1, 1, -2, 2, -1, Infinity] -> 
  (163*S[-1, Infinity]^8)/8064 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (45343*S[2, Infinity]^4)/112000 + 
   ((67*S[-1, Infinity]^2)/192 + (721*S[2, Infinity])/768)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 - (241*S[-1, Infinity]*S[2, Infinity])/64 + 
     (1431*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]^2*((-99*S[-1, Infinity]^4)/320 + 
     (7*S[-1, 1, 1, 1, Infinity])/40) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/180 + 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     ((7*S[-1, Infinity]^2)/24 + (11*S[2, Infinity])/48)*S[3, Infinity] + 
     (11*S[5, Infinity])/64 + (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-109*S[-1, Infinity]^5)/576 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/60 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (179*S[-1, 1, 1, 1, 1, Infinity])/24) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/1440 - (3*S[-5, -1, Infinity])/2 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]^2*
    ((7*S[-1, Infinity]^6)/180 - (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + 
     (87*S[2, Infinity]^3)/560 + ((-7*S[-1, Infinity]^3)/12 - 
       (13*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (109*S[3, Infinity]^2)/256 + S[2, Infinity]*(-S[-1, Infinity]^4/6 - 
       S[-1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-S[-5, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/126 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (533*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (133*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-31*S[-1, Infinity]^2)/16 + (439*S[2, Infinity])/64)*S[5, Infinity] - 
     (9279*S[7, Infinity])/512 - (7*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((17*S[-1, Infinity]^4)/64 + 
       (131*S[-1, Infinity]^2*S[2, Infinity])/32 + (1351*S[2, Infinity]^2)/
        320 + (33*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/80 + 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-7*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-3840*S[-7, -1, Infinity] - 981*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     2880*S[-1, 1, 1, 1, Infinity]^2 + 2560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/640, S[1, 1, 1, -2, 2, 1, Infinity] -> 
  (7*S[-1, Infinity]^8)/384 + (319*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1460133*S[2, Infinity]^4)/784000 + 
   ((5953*S[-1, Infinity]^2)/1344 - (4537*S[2, Infinity])/5376)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/192 + 
     (65*S[-1, Infinity]*S[2, Infinity])/448 + (24191*S[3, Infinity])/10752)*
    S[5, Infinity] + (25861*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/1120 + 
     (141*S[-1, 1, 1, 1, Infinity])/70) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/45 + (S[-1, Infinity]^3*S[2, Infinity])/9 + 
     ((7*S[-1, Infinity]^2)/24 - (7*S[2, Infinity])/24)*S[3, Infinity] - 
     (89*S[5, Infinity])/384 + (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 - (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-7907*S[-1, Infinity]^5)/20160 + 
     (3091*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (2115*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (67*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/12 + 
     (865*S[-1, 1, 1, 1, 1, Infinity])/168) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/18 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (67*S[2, Infinity]^3)/140 + 
     ((-7*S[-1, Infinity]^3)/12 + (7*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] - (7*S[3, Infinity]^2)/256 + 
     (155*S[-1, Infinity]*S[5, Infinity])/128 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-7*S[-1, Infinity]^4)/24 + 
       S[-1, 1, 1, 1, Infinity]) + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (5*S[-5, -1, Infinity] - 
       32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-55*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-89*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(89*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/21 + (S[-1, Infinity]^5*S[2, Infinity])/
      5 + (9*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (275*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (1769*S[2, Infinity]*S[5, Infinity])/224 - (45407*S[7, Infinity])/1792 + 
     S[3, Infinity]*((83*S[-1, Infinity]^4)/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 + (247*S[2, Infinity]^2)/1120 + 
       S[-1, 1, 1, 1, Infinity]/8) + 2*S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (6*S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (3*(3*S[-5, 1, 1, Infinity] + 24*S[5, -1, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (323200*S[-7, -1, Infinity] + 26031*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 56960*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, 2, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/63 - (59*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (96269*S[2, Infinity]^4)/98000 + ((-451*S[-1, Infinity]^2)/336 + 
     (19*S[2, Infinity])/42)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/64 - (5343*S[-1, Infinity]*S[2, Infinity])/896 - 
     (2461*S[3, Infinity])/10752)*S[5, Infinity] + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((517*S[-1, Infinity]^4)/3360 + 
     (183*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/126 + 
     (109*S[-1, Infinity]^3*S[2, Infinity])/504 - 
     (2659*S[-1, Infinity]*S[2, Infinity]^2)/672 - 
     (166*S[-1, 1, 1, 1, 1, Infinity])/21) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 - (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (113*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((-7*S[-1, Infinity]^2)/24 - (7*S[2, Infinity])/24)*S[3, Infinity] - 
     (89*S[5, Infinity])/384 - (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 + (235*S[-5, -1, Infinity])/56 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/180 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (411*S[2, Infinity]^3)/1120 + 
     ((7*S[-1, Infinity]^3)/12 - (5*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] + (7*S[3, Infinity]^2)/8 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^4/6 + 
       S[-1, 1, 1, 1, Infinity]) + (-9*S[-5, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(83*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/126 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (2321*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-279*S[-1, Infinity]^2)/64 - (9783*S[2, Infinity])/896)*
      S[5, Infinity] + (35281*S[7, Infinity])/1792 + 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/24 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/8 - (2117*S[2, Infinity]^2)/
        560 - (7*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/10 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (13*S[-5, 1, 1, Infinity] + 
       76*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-130880*S[-7, -1, Infinity] - 16783*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 13760*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, 2, -2, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/288 - (31*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (1606611*S[2, Infinity]^4)/784000 + 
   ((-649*S[-1, Infinity]^2)/336 - (943*S[2, Infinity])/672)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/192 - 
     (2983*S[-1, Infinity]*S[2, Infinity])/896 + (24597*S[3, Infinity])/7168)*
    S[5, Infinity] + (92549*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((191*S[-1, Infinity]^4)/1680 - 
     (191*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/45 - 
     (S[-1, Infinity]^3*S[2, Infinity])/9 + 
     ((-7*S[-1, Infinity]^2)/24 + (13*S[2, Infinity])/96)*S[3, Infinity] + 
     (11*S[5, Infinity])/64 - (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 + (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1577*S[-1, Infinity]^5)/5040 - 
     (197*S[-1, Infinity]^3*S[2, Infinity])/252 - 
     (5039*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (16*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (131*S[-1, 1, 1, 1, 1, Infinity])/42) + 
   (S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/18 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (93*S[2, Infinity]^3)/160 + 
     ((7*S[-1, Infinity]^3)/12 - (7*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] - (13*S[3, Infinity]^2)/256 - 
     (155*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((7*S[-1, Infinity]^4)/24 - S[-1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5*S[-5, -1, Infinity] + 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-261*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/21 - (S[-1, Infinity]^5*S[2, Infinity])/
      5 - (3*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (419*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     (2161*S[2, Infinity]*S[5, Infinity])/896 + (48575*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/24 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (263*S[2, Infinity]^2)/1120 + 
       S[-1, 1, 1, 1, Infinity]/2) - 2*S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (31*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (429760*S[-7, -1, Infinity] + 118651*S[5, 3, Infinity] + 
     93440*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 1, 2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/672 + (403*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2654591*S[2, Infinity]^4)/784000 + 
   ((255*S[-1, Infinity]^2)/112 - (13*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/64 + (2299*S[-1, Infinity]*S[2, Infinity])/448 + 
     (53345*S[3, Infinity])/5376)*S[5, Infinity] - 
   (45273*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((251*S[-1, Infinity]^4)/3360 - 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/60 - 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (113*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     (S[2, Infinity]*S[3, Infinity])/16 + (125*S[5, Infinity])/96 - 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/336 + (277*S[-1, Infinity]^3*S[2, Infinity])/
      504 + (43111*S[-1, Infinity]*S[2, Infinity]^2)/6720 - 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (445*S[-1, 1, 1, 1, 1, Infinity])/42) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(95*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/60 + 
     (S[-1, Infinity]^4*S[2, Infinity])/24 + (43*S[2, Infinity]^3)/35 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/2 + 
     (27*S[3, Infinity]^2)/128 - (93*S[-1, Infinity]*S[5, Infinity])/32 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-151*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/126 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (491*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (99*S[2, Infinity]^2*S[3, Infinity])/560 - 
     (653*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((279*S[-1, Infinity]^2)/64 + (549*S[2, Infinity])/448)*S[5, Infinity] + 
     (81113*S[7, Infinity])/3584 - (2*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/30 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-89*S[-5, -1, Infinity] + 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, 1, 1, 2, 2, 1, Infinity] -> (-394*S[2, Infinity]^4)/175 + 
   S[2, Infinity]*S[3, Infinity]^2 + S[1, Infinity]^2*
    ((-4*S[2, Infinity]^3)/7 + S[3, Infinity]^2) + 
   (S[1, Infinity]^3*S[5, Infinity])/3 + (26*S[3, Infinity]*S[5, Infinity])/
    3 + S[1, Infinity]*((-12*S[2, Infinity]^2*S[3, Infinity])/5 + 
     S[2, Infinity]*S[5, Infinity] + 10*S[7, Infinity]), 
 S[1, -1, -1, -2, -1, -2, Infinity] -> (-59*S[-1, Infinity]^8)/1680 + 
   (191*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (2927727*S[2, Infinity]^4)/196000 + 
   ((-10869*S[-1, Infinity]^2)/1792 - (77927*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4229*S[-1, Infinity]^3)/384 + 
     (110889*S[-1, Infinity]*S[2, Infinity])/896 + (504379*S[3, Infinity])/
      7168)*S[5, Infinity] - (311687*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-867*S[-1, Infinity]^4)/1120 - 
     (1767*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1089*S[-1, Infinity]^5)/2240 + 
     (1145*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (208213*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (3967*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((161*S[-1, Infinity]^6)/1440 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-505*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-1343*S[-5, -1, Infinity] + 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/630 + 
     (169*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (2587*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (771*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-3793*S[-1, Infinity]^2)/64 - (94709*S[2, Infinity])/896)*
      S[5, Infinity] + (140409*S[7, Infinity])/448 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (827*S[2, Infinity]^2)/70 - 
       2*S[-1, 1, 1, 1, Infinity]) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (29*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (24*S[-1, Infinity]*(S[-5, -1, Infinity] + 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (2*(103*S[-5, 1, 1, Infinity] - 142*S[5, -1, -1, Infinity] - 
        448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-139*S[-5, 1, 1, Infinity] + 
      344*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (12392000*S[-7, -1, Infinity] + 1928177*S[5, 3, Infinity] + 
     1143040*S[-5, -1, -1, -1, Infinity] + 
     1491200*S[-5, -1, 1, 1, Infinity] - 286720*S[-1, 1, 1, 1, Infinity]^2 - 
     4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, -2, -1, 2, Infinity] -> (1343*S[-1, Infinity]^8)/40320 + 
   (10639*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (79181*S[2, Infinity]^4)/31360 + ((-467*S[-1, Infinity]^2)/224 - 
     (17453*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-547*S[-1, Infinity]^3)/96 + (60299*S[-1, Infinity]*S[2, Infinity])/
      448 + (36517*S[3, Infinity])/896)*S[5, Infinity] + 
   S[2, Infinity]^2*((577*S[-1, Infinity]^4)/2240 - 
     (961*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-571*S[-1, Infinity]^5)/840 + 
     (515*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (56731*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (466*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (6*S[-1, Infinity]^2*(43*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-173*S[-1, Infinity]^6)/1440 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3691*S[-5, -1, Infinity] + 1176*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/105 + 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (2389*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-5447*S[-1, Infinity]^2)/128 - (81021*S[2, Infinity])/896)*
      S[5, Infinity] + (811585*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/48 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/8 - (2853*S[2, Infinity]^2)/
        560 + (13*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/120 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, Infinity]) + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-43*S[-5, -1, Infinity] + 
        1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-685*S[-5, 1, 1, Infinity] + 792*S[5, -1, -1, Infinity] + 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (717888*S[-7, -1, Infinity] + 113993*S[5, 3, Infinity] + 
     85504*S[-5, -1, -1, -1, Infinity] + 60544*S[-5, -1, 1, 1, Infinity] + 
     18816*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, -1, -1, -2, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/192 + (12*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + 
   (3285227*S[2, Infinity]^4)/784000 + 
   ((-2423*S[-1, Infinity]^2)/1792 - (7887*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((53*S[-1, Infinity]^3)/192 + 
     (38051*S[-1, Infinity]*S[2, Infinity])/896 + (907*S[3, Infinity])/448)*
    S[5, Infinity] - (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((299*S[-1, Infinity]^4)/1680 + 
     (121*S[-1, 1, 1, 1, Infinity])/70) + 
   (447040*S[-7, -1, Infinity] + 109511*S[5, 3, Infinity] + 
     181760*S[-5, -1, -1, -1, Infinity] - 101120*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (323*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((-41*S[-1, Infinity]^2*S[2, Infinity])/32 - (1261*S[2, Infinity]^2)/
        560)*S[3, Infinity] - (493*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-197*S[-1, Infinity]^2)/64 - (1413*S[2, Infinity])/112)*
      S[5, Infinity] + (42243*S[7, Infinity])/1792 + 
     (37*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (9*S[-5, 1, 1, Infinity] + 86*S[5, -1, -1, Infinity])/28 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - 3*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-187*S[-1, Infinity]^5)/6720 + 
     (719*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (20311*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (337*S[-5, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, -1, -2, 1, 2, Infinity] -> -S[-1, Infinity]^8/384 + 
   (237*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (205651*S[2, Infinity]^4)/156800 + 
   ((-5339*S[-1, Infinity]^2)/1792 - (6249*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-173*S[-1, Infinity]^3)/384 + 
     (95*S[-1, Infinity]*S[2, Infinity])/224 - (5627*S[3, Infinity])/1792)*
    S[5, Infinity] + (198255*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (6*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (3*S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-211*S[-1, Infinity]^4)/1680 + 
     S[-1, 1, 1, 1, Infinity]/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (70016*S[-7, -1, Infinity] + 18607*S[5, 3, Infinity] + 
     16384*S[-5, -1, -1, -1, Infinity] + 2432*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((67*S[-1, Infinity]^5)/3360 - 
     (121*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (179*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (239*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (437*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((11*S[-1, Infinity]^2*S[2, Infinity])/16 + (1207*S[2, Infinity]^2)/
        1120)*S[3, Infinity] + (1667*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-301*S[-1, Infinity]^2)/128 - (75*S[2, Infinity])/896)*
      S[5, Infinity] - (29283*S[7, Infinity])/7168 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (-45*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity])/28 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 + (3*S[-1, 1, 1, 1, 1, Infinity])/
        2)) + S[2, Infinity]*((11*S[-1, Infinity]^6)/480 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-307*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, -1, 2, -1, -2, Infinity] -> (-1343*S[-1, Infinity]^8)/40320 - 
   (1441*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (145469*S[2, Infinity]^4)/39200 + 
   ((557*S[-1, Infinity]^2)/448 + (17309*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((169*S[-1, Infinity]^3)/32 - 
     (54711*S[-1, Infinity]*S[2, Infinity])/448 - (96723*S[3, Infinity])/
      1792)*S[5, Infinity] + (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    8 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/840 + 
     (559*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((69*S[-1, Infinity]^5)/112 - 
     (979*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (5641*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (1035*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((137*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(1369*S[-5, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (S[-1, Infinity]^2*(499*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/105 - 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (589*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1341*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((5713*S[-1, Infinity]^2)/128 + (78923*S[2, Infinity])/896)*
      S[5, Infinity] - (1506867*S[7, Infinity])/7168 + 
     S[3, Infinity]*((91*S[-1, Infinity]^4)/192 - 
       (107*S[-1, Infinity]^2*S[2, Infinity])/32 + (1521*S[2, Infinity]^2)/
        560 - (91*S[-1, 1, 1, 1, Infinity])/8) - 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((19*S[-1, Infinity]^5)/120 - 7*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-19*S[-5, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (766*S[-5, 1, 1, Infinity] - 753*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-364912*S[-7, -1, Infinity] - 57807*S[5, 3, Infinity] - 
     40576*S[-5, -1, -1, -1, Infinity] - 35136*S[-5, -1, 1, 1, Infinity] - 
     9408*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[1, -1, -1, 2, -1, 2, Infinity] -> 
  (67*S[-1, Infinity]^8)/2240 - (3249*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (12992927*S[2, Infinity]^4)/784000 + 
   ((229*S[-1, Infinity]^2)/112 + (4871*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-1277*S[-1, Infinity]^3)/128 - 
     (119501*S[-1, Infinity]*S[2, Infinity])/896 - (71929*S[3, Infinity])/
      896)*S[5, Infinity] + (780445*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((3259*S[-1, Infinity]^4)/6720 + 
     (3517*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((1061*S[-1, Infinity]^5)/1344 - 
     (1605*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (29669*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (580*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/1440 - 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(-409*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (3*S[-1, Infinity]^2*(127*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/630 - 
     (139*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (2669*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (743*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((3833*S[-1, Infinity]^2)/64 + (47393*S[2, Infinity])/448)*
      S[5, Infinity] - (142957*S[7, Infinity])/448 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/24 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (3581*S[2, Infinity]^2)/280 + 
       5*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/240 + (15*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 16*S[-1, 1, 1, 1, 1, Infinity]) - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (24*S[-1, Infinity]*(-S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (2*(103*S[-5, 1, 1, Infinity] - 142*S[5, -1, -1, Infinity] - 
        448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] - 383*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3253920*S[-7, -1, Infinity] - 491077*S[5, 3, Infinity] - 
     291840*S[-5, -1, -1, -1, Infinity] - 407040*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, 2, 1, -2, Infinity] -> 
  -S[-1, Infinity]^8/192 + (93*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (748691*S[2, Infinity]^4)/156800 + 
   ((-1457*S[-1, Infinity]^2)/256 - (11143*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-347*S[-1, Infinity]^3)/128 + 
     (471*S[-1, Infinity]*S[2, Infinity])/64 - (74751*S[3, Infinity])/7168)*
    S[5, Infinity] + (218847*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (3*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-1451*S[-1, Infinity]^4)/6720 - 
     (719*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (257728*S[-7, -1, Infinity] + 39341*S[5, 3, Infinity] + 
     61184*S[-5, -1, -1, -1, Infinity] - 2048*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[1, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (187*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (181*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((71*S[-1, Infinity]^2)/128 + (101*S[2, Infinity])/28)*S[5, Infinity] - 
     (122057*S[7, Infinity])/7168 - (25*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + (3*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (43*S[-1, Infinity]^2*S[2, Infinity])/32 + (7057*S[2, Infinity]^2)/
        2240 + 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/240 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 2*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((151*S[-1, Infinity]^5)/448 - 
     (1649*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1511*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/144 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-199*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, -1, 2, 1, 2, Infinity] -> -S[-1, Infinity]^8/128 - 
   (83*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (1079539*S[2, Infinity]^4)/
    784000 + ((-779*S[-1, Infinity]^2)/448 - (3737*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((59*S[-1, Infinity]^3)/64 + 
     (17751*S[-1, Infinity]*S[2, Infinity])/896 + (18601*S[3, Infinity])/
      1792)*S[5, Infinity] - (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/112 - 
     (37*S[-1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (505280*S[-7, -1, Infinity] + 164013*S[5, 3, Infinity] + 
     110080*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/280 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (2381*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (409*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     2*S[-1, Infinity]*S[3, Infinity]^2 + 
     ((-197*S[-1, Infinity]^2)/64 - (113*S[2, Infinity])/8)*S[5, Infinity] + 
     (45091*S[7, Infinity])/1024 + 2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (12*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity])/4 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/64 - 
       (83*S[-1, Infinity]^2*S[2, Infinity])/32 - (841*S[2, Infinity]^2)/
        160 - (39*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (29*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, 1, -2, -1, -2, Infinity] -> (-59*S[-1, Infinity]^8)/3360 - 
   (2021*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (69851*S[2, Infinity]^4)/8000 + ((47*S[-1, Infinity]^2)/32 + 
     (7541*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((121*S[-1, Infinity]^3)/64 - (7807*S[-1, Infinity]*S[2, Infinity])/128 - 
     (34467*S[3, Infinity])/1024)*S[5, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/160 + 
     (173*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/24 - (83*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (3909*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     35*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(57*S[-5, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 + 100*S[-5, -1, Infinity] - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     20*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     21*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((11*S[-1, Infinity]^7)/315 + (29*S[-1, Infinity]^3*S[2, Infinity]^2)/
      48 - (1087*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (9627*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((4039*S[-1, Infinity]^2)/128 + (40337*S[2, Infinity])/896)*
      S[5, Infinity] - (301923*S[7, Infinity])/1792 - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/48 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/16 + (1331*S[2, Infinity]^2)/
        140 + (11*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/40 + 8*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 19*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (178*S[-5, 1, 1, Infinity] - 319*S[5, -1, -1, Infinity] - 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-1440320*S[-7, -1, Infinity] - 239451*S[5, 3, Infinity] - 
     147200*S[-5, -1, -1, -1, Infinity] - 154880*S[-5, -1, 1, 1, Infinity] + 
     30720*S[-1, 1, 1, 1, Infinity]^2 + 614400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, 1, -2, -1, 2, Infinity] -> 
  (11*S[-1, Infinity]^8)/720 - (79*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1270713*S[2, Infinity]^4)/196000 + 
   ((7425*S[-1, Infinity]^2)/448 + (31643*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1711*S[-1, Infinity]^3)/128 - 
     (102103*S[-1, Infinity]*S[2, Infinity])/896 - (339453*S[3, Infinity])/
      7168)*S[5, Infinity] + (362995*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((115*S[-1, Infinity]^4)/84 + 
     (1063*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/1344 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (129163*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (2495*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(211*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/288 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1741*S[-5, -1, Infinity] + 
       294*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/70 - 
     (83*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (5007*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (22747*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((749*S[-1, Infinity]^2)/16 + (18989*S[2, Infinity])/224)*
      S[5, Infinity] - (1570687*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - 
       (69*S[-1, Infinity]^2*S[2, Infinity])/32 + (5091*S[2, Infinity]^2)/
        1120 - 4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((41*S[-1, Infinity]^5)/240 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-73*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (684*S[-5, 1, 1, Infinity] - 751*S[5, -1, -1, Infinity] - 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(328*S[-5, 1, 1, Infinity] - 113*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-8608960*S[-7, -1, Infinity] - 1497403*S[5, 3, Infinity] - 
     1148160*S[-5, -1, -1, -1, Infinity] - 733440*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, -2, 1, -2, Infinity] -> 
  (1383*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (28921*S[2, Infinity]^4)/392000 + ((2369*S[-1, Infinity]^2)/1792 - 
     (11267*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-1475*S[-1, Infinity]^3)/384 + (10279*S[-1, Infinity]*S[2, Infinity])/
      896 + (57277*S[3, Infinity])/3584)*S[5, Infinity] + 
   (42321*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (275*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (15*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 + (650560*S[-7, -1, Infinity] + 135839*S[5, 3, Infinity] + 
     104960*S[-5, -1, -1, -1, Infinity] + 74240*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((31*S[-1, Infinity]^4)/560 - 
     (29*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (-(S[-1, Infinity]^2*S[2, Infinity])/16 - (27*S[2, Infinity]^2)/560)*
      S[3, Infinity] - (445*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((71*S[-1, Infinity]^2)/128 - (435*S[2, Infinity])/896)*S[5, Infinity] - 
     (2553*S[7, Infinity])/1792 + (13*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity])/28 + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - S[-1, 1, 1, 1, 1, Infinity]/
        2)) + S[3, Infinity]*((-457*S[-1, Infinity]^5)/6720 + 
     (485*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3231*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (457*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (-737*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, 1, -2, 1, 2, Infinity] -> (17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (141149*S[2, Infinity]^4)/392000 + 
   ((-157*S[-1, Infinity]^2)/448 - (6735*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]^3)/24 + 
     (4145*S[-1, Infinity]*S[2, Infinity])/448 + (42369*S[3, Infinity])/7168)*
    S[5, Infinity] - (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (1023040*S[-7, -1, Infinity] + 189037*S[5, 3, Infinity] + 
     124160*S[-5, -1, -1, -1, Infinity] + 99840*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/1680 - 
     (39*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-4*S[-1, Infinity]^5)/105 + (71*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (16749*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (-(S[-1, Infinity]^2*S[2, Infinity])/16 - (93*S[2, Infinity]^2)/140)*
      S[3, Infinity] + (1355*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-197*S[-1, Infinity]^2)/64 - (957*S[2, Infinity])/224)*
      S[5, Infinity] + (37215*S[7, Infinity])/3584 - 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (-20*S[-5, 1, 1, Infinity] + 29*S[5, -1, -1, Infinity])/14 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 + S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 
     (-501*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[1, -1, 1, 2, -1, -2, Infinity] -> (-29*S[-1, Infinity]^8)/2880 + 
   (1499*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1561837*S[2, Infinity]^4)/156800 + 
   ((-13135*S[-1, Infinity]^2)/1792 - (13159*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((5903*S[-1, Infinity]^3)/384 + 
     (47903*S[-1, Infinity]*S[2, Infinity])/448 + (416249*S[3, Infinity])/
      7168)*S[5, Infinity] - (201337*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-7631*S[-1, Infinity]^4)/6720 - 
     (207*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-2693*S[-1, Infinity]^5)/6720 + 
     (2833*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (156537*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (647*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((109*S[-1, Infinity]^6)/1440 + 
     (-913*S[-5, -1, Infinity] - 147*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-691*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-157*S[-5, 1, 1, Infinity] + 
      326*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*(S[-1, Infinity]^7/70 + 
     (73*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     (150*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-739*S[-1, Infinity]^2)/16 - (38865*S[2, Infinity])/448)*
      S[5, Infinity] + (838629*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 - (4919*S[2, Infinity]^2)/
        560 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-29*S[-1, Infinity]^5)/240 + (S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2) - (S[-1, Infinity]*(263*S[-5, -1, Infinity] + 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-613*S[-5, 1, 1, Infinity] + 780*S[5, -1, -1, Infinity] + 
       2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1521472*S[-7, -1, Infinity] + 262959*S[5, 3, Infinity] + 
     167680*S[-5, -1, -1, -1, Infinity] + 165632*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, 1, 2, -1, 2, Infinity] -> 
  (223*S[-1, Infinity]^8)/6720 + (1581*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (5980599*S[2, Infinity]^4)/784000 + 
   ((-265*S[-1, Infinity]^2)/896 - (319*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((-257*S[-1, Infinity]^3)/192 + 
     (46405*S[-1, Infinity]*S[2, Infinity])/896 + (91195*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((941*S[-1, Infinity]^4)/2240 - 
     (1703*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-431*S[-1, Infinity]^5)/840 + 
     (201*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (60787*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (326*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-125*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2753*S[-5, -1, Infinity] + 588*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/315 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (219*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (1615*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-3773*S[-1, Infinity]^2)/128 - (25155*S[2, Infinity])/896)*
      S[5, Infinity] + (435955*S[7, Infinity])/3584 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 + 
       (45*S[-1, Infinity]^2*S[2, Infinity])/32 - (1121*S[2, Infinity]^2)/
        448 - (5*S[-1, 1, 1, 1, Infinity])/8) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/40 - 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 16*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(53*S[-5, -1, Infinity] + 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-228*S[-5, 1, 1, Infinity] + 227*S[5, -1, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1183200*S[-7, -1, Infinity] + 170557*S[5, 3, Infinity] + 
     104000*S[-5, -1, -1, -1, Infinity] + 140160*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, 1, 2, 1, -2, Infinity] -> 
  (5*S[-1, Infinity]^8)/384 + (1403*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (733217*S[2, Infinity]^4)/784000 + 
   ((-961*S[-1, Infinity]^2)/1792 - (675*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-3*S[-1, Infinity]^3)/2 + 
     (2553*S[-1, Infinity]*S[2, Infinity])/112 + (56995*S[3, Infinity])/3584)*
    S[5, Infinity] - (351*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((377*S[-1, Infinity]^4)/3360 + 
     (179*S[-1, 1, 1, 1, Infinity])/70) + 
   (33060*S[-7, -1, Infinity] + 11931*S[5, 3, Infinity] + 
     9840*S[-5, -1, -1, -1, Infinity] - 1720*S[-5, -1, 1, 1, Infinity] + 
     8400*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (513*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (2987*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-197*S[-1, Infinity]^2)/64 - (1387*S[2, Infinity])/224)*
      S[5, Infinity] - (5101*S[7, Infinity])/3584 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (-53*S[-5, 1, 1, Infinity] + 24*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/64 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 + (311*S[2, Infinity]^2)/224 + 
       (39*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/40 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-163*S[-1, Infinity]^5)/1344 + 
     (253*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2689*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (355*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/160 - (241*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[1, -1, 1, 2, 1, 2, Infinity] -> S[-1, Infinity]^8/384 + 
   (427*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (7639*S[2, Infinity]^4)/12250 + ((6203*S[-1, Infinity]^2)/1792 - 
     (1065*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-285*S[-1, Infinity]^3)/128 + (7389*S[-1, Infinity]*S[2, Infinity])/
      448 + (51505*S[3, Infinity])/3584)*S[5, Infinity] - 
   (154797*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (339*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(24*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    28 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((961*S[-1, Infinity]^4)/6720 + 
     (509*S[-1, 1, 1, 1, Infinity])/280) + 
   (432000*S[-7, -1, Infinity] + 74817*S[5, 3, Infinity] + 
     57600*S[-5, -1, -1, -1, Infinity] + 85760*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-319*S[-1, Infinity]^5)/840 + 
     (269*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (7747*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (121*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/160 - (655*S[-5, -1, Infinity])/
      56 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (1053*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (107*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-301*S[-1, Infinity]^2)/128 - (8767*S[2, Infinity])/896)*
      S[5, Infinity] + (144595*S[7, Infinity])/7168 + 
     (71*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (-34*S[-5, 1, 1, Infinity] + 99*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 - (2339*S[2, Infinity]^2)/
        1120 - 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/80 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + 3*S[-1, 1, 1, 1, 1, Infinity])), 
 S[1, 1, -1, -2, -1, -2, Infinity] -> (403*S[-1, Infinity]^8)/13440 + 
   (4129*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (937549*S[2, Infinity]^4)/784000 + 
   ((-2979*S[-1, Infinity]^2)/1792 - (6775*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((547*S[-1, Infinity]^3)/192 + 
     (8231*S[-1, Infinity]*S[2, Infinity])/224 + (73035*S[3, Infinity])/7168)*
    S[5, Infinity] - (331*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (35*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-247*S[-1, Infinity]^4)/3360 + 
     (53*S[-1, 1, 1, 1, Infinity])/35) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/28 + 
     (451*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (11933*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (90*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-59*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(80*S[-5, -1, Infinity] - 63*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/30 - 
     (S[-1, Infinity]^4*S[2, Infinity])/12 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (13*S[2, Infinity]^3)/10 + 
     (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (455*S[3, Infinity]^2)/256 + (547*S[-1, Infinity]*S[5, Infinity])/64 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (13*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-16*S[-1, Infinity]^7)/315 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (25*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (725*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-2613*S[-1, Infinity]^2)/128 - (31709*S[2, Infinity])/896)*
      S[5, Infinity] + (243533*S[7, Infinity])/3584 - 
     (145*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-37*S[-1, Infinity]^4)/192 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 - (1381*S[2, Infinity]^2)/
        1120 + (37*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 + 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 13*S[-1, 1, 1, 1, 1, Infinity]) - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-145*S[-5, 1, 1, Infinity] + 198*S[5, -1, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2709440*S[-7, -1, Infinity] + 529749*S[5, 3, Infinity] + 
     423680*S[-5, -1, -1, -1, Infinity] + 113920*S[-5, -1, 1, 1, Infinity] + 
     197120*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, -2, -1, 2, Infinity] -> 
  (-47*S[-1, Infinity]^8)/4032 - (845*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1300993*S[2, Infinity]^4)/156800 + 
   ((-101*S[-1, Infinity]^2)/224 - (9175*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1789*S[-1, Infinity]^3)/384 + 
     (4253*S[-1, Infinity]*S[2, Infinity])/112 - (3141*S[3, Infinity])/7168)*
    S[5, Infinity] + (183719*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-177*S[-1, Infinity]^4)/448 - 
     (1013*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/672 + 
     (323*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (54939*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1375*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-125*S[-5, -1, Infinity] - 546*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(S[-1, Infinity]^7/30 + 
     (127*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (1997*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (8415*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-413*S[-1, Infinity]^2)/32 - (3337*S[2, Infinity])/896)*
      S[5, Infinity] + (29907*S[7, Infinity])/1792 - 
     (3*(4*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/32 - (1583*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/2) - 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/5 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (13*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(97*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-215*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/30 - 
     (39*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (421*S[2, Infinity]^3)/
      140 - (37*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (95*S[3, Infinity]^2)/16 + (547*S[-1, Infinity]*S[5, Infinity])/64 + 
     13*S[-5, -1, Infinity] + S[2, Infinity]*((5*S[-1, Infinity]^4)/24 - 
       S[-1, 1, 1, 1, Infinity]) + 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(121*S[-5, 1, 1, Infinity] - 96*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (911808*S[-7, -1, Infinity] + 116425*S[5, 3, Infinity] + 
     86272*S[-5, -1, -1, -1, Infinity] + 67840*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 1, -1, -2, 1, -2, Infinity] -> 
  -S[-1, Infinity]^8/1152 - (383*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (49377*S[2, Infinity]^4)/28000 + ((827*S[-1, Infinity]^2)/896 - 
     (3*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-181*S[-1, Infinity]^3)/48 - (2715*S[-1, Infinity]*S[2, Infinity])/448 + 
     (237*S[3, Infinity])/64)*S[5, Infinity] - 
   (10425*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(38*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity]))/
    28 + S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (279*S[2, Infinity]^3)/1120 - (S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (61*S[3, Infinity]^2)/256 - 
     (53*S[-1, Infinity]*S[5, Infinity])/128 + S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*(S[-1, Infinity]^4/96 - S[-1, 1, 1, 1, Infinity]/4)) + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/96 - (3*S[-1, 1, 1, 1, Infinity])/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (10240*S[-7, -1, Infinity] + 3081*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (717*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (445*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((859*S[-1, Infinity]^2)/128 + (9579*S[2, Infinity])/896)*
      S[5, Infinity] - (11707*S[7, Infinity])/896 - 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (38*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 + (1247*S[2, Infinity]^2)/1120 - 
       S[-1, 1, 1, 1, Infinity]/8) + S[2, Infinity]*(-S[-1, Infinity]^5/240 + 
       S[-1, 1, 1, 1, 1, Infinity]/2)) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/480 - (7*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (227*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
    (S[-1, Infinity]^6/90 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-23*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[1, 1, -1, -2, 1, 2, Infinity] -> (31*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 + (277931*S[2, Infinity]^4)/392000 + 
   ((351*S[-1, Infinity]^2)/1792 + (1013*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-53*S[-1, Infinity]^3)/384 - 
     (4115*S[-1, Infinity]*S[2, Infinity])/896 + (12977*S[3, Infinity])/7168)*
    S[5, Infinity] + (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (-838080*S[-7, -1, Infinity] - 104243*S[5, 3, Infinity] - 
     49920*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity])/
    35840 + S[1, Infinity]^2*((S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
     (261*S[2, Infinity]^3)/1120 - (S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (119*S[3, Infinity]^2)/256 - 
     (53*S[-1, Infinity]*S[5, Infinity])/128 - (11*S[-5, -1, Infinity])/8 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/2)) + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/1680 + 
     (41*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (293*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (95*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((197*S[-1, Infinity]^2)/64 + (4877*S[2, Infinity])/896)*
      S[5, Infinity] - (104081*S[7, Infinity])/7168 + 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (38*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 + (109*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/120 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*(S[-1, Infinity]^5/70 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (7099*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (181*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -1, 2, -1, -2, Infinity] -> (3*S[-1, Infinity]^8)/224 + 
   (5007*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (4913423*S[2, Infinity]^4)/784000 + 
   ((4591*S[-1, Infinity]^2)/1792 + (18285*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((809*S[-1, Infinity]^3)/128 - 
     (26405*S[-1, Infinity]*S[2, Infinity])/896 + (76031*S[3, Infinity])/
      7168)*S[5, Infinity] - (579421*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((379*S[-1, Infinity]^4)/672 + 
     (499*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((137*S[-1, Infinity]^5)/3360 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (41173*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (487*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/30 + 
     (39*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (1643*S[2, Infinity]^3)/
      560 + (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (41*S[3, Infinity]^2)/8 - (507*S[-1, Infinity]*S[5, Infinity])/64 - 
     13*S[-5, -1, Infinity] + S[2, Infinity]*((-5*S[-1, Infinity]^4)/24 + 
       S[-1, 1, 1, 1, Infinity]) - 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/30 - 
     (137*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (1171*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (893*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((75*S[-1, Infinity]^2)/8 - (779*S[2, Infinity])/224)*S[5, Infinity] - 
     (1301*S[7, Infinity])/896 + (-S[-5, 1, 1, Infinity] - 
       22*S[5, -1, -1, Infinity])/14 + S[3, Infinity]*
      (-S[-1, Infinity]^4/48 - (25*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (297*S[2, Infinity]^2)/280 + S[-1, 1, 1, 1, Infinity]/2) + 
     S[2, Infinity]*((9*S[-1, Infinity]^5)/40 - 
       7*S[-1, 1, 1, 1, 1, Infinity]) + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-101*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (107*S[-5, -1, Infinity] + 504*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-76*S[-5, 1, 1, Infinity] + 183*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4619840*S[-7, -1, Infinity] - 623137*S[5, 3, Infinity] - 
     490240*S[-5, -1, -1, -1, Infinity] - 280320*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 2, -1, 2, Infinity] -> 
  (-403*S[-1, Infinity]^8)/13440 - (785*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (455627*S[2, Infinity]^4)/156800 + 
   ((3363*S[-1, Infinity]^2)/896 + (2979*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-169*S[-1, Infinity]^3)/64 - 
     (26877*S[-1, Infinity]*S[2, Infinity])/448 - (26253*S[3, Infinity])/
      3584)*S[5, Infinity] + (243*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/2240 - 
     (769*S[-1, 1, 1, 1, Infinity])/280) + 
   (35*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/840 - 
     (263*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (33421*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (44*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/288 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (67*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/30 + 
     (S[-1, Infinity]^4*S[2, Infinity])/12 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (213*S[2, Infinity]^3)/140 + 
     (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (77*S[3, Infinity]^2)/32 - (507*S[-1, Infinity]*S[5, Infinity])/64 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-23*S[-5, -1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((16*S[-1, Infinity]^7)/315 + 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (163*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (83*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((2347*S[-1, Infinity]^2)/128 + (36227*S[2, Infinity])/896)*
      S[5, Infinity] - (589829*S[7, Infinity])/7168 + 
     (37*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 + (6831*S[2, Infinity]^2)/
        2240 - 3*S[-1, 1, 1, 1, Infinity]) - 
     (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/12 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 14*S[-1, 1, 1, 1, 1, Infinity]) + 
     (74*S[-5, 1, 1, Infinity] - 227*S[5, -1, -1, Infinity] - 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-261824*S[-7, -1, Infinity] - 60989*S[5, 3, Infinity] - 
     62208*S[-5, -1, -1, -1, Infinity] + 13824*S[-5, -1, 1, 1, Infinity] - 
     19712*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, 1, -1, 2, 1, -2, Infinity] -> 
  (7*S[-1, Infinity]^8)/1152 - (1237*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (270297*S[2, Infinity]^4)/78400 + 
   ((291*S[-1, Infinity]^2)/224 + (12549*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-59*S[-1, Infinity]^3)/128 - 
     (28577*S[-1, Infinity]*S[2, Infinity])/896 + (2407*S[3, Infinity])/1792)*
    S[5, Infinity] + (113*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
     (69*S[2, Infinity]^3)/224 - (41*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 - (181*S[3, Infinity]^2)/256 - 
     (177*S[-1, Infinity]*S[5, Infinity])/128 - (7*S[-5, -1, Infinity])/8 + 
     S[2, Infinity]*(S[-1, Infinity]^4/16 - (3*S[-1, 1, 1, 1, Infinity])/
        2)) + S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/3360 - 
     (88*S[-1, 1, 1, 1, Infinity])/35) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-43136*S[-7, -1, Infinity] - 18733*S[5, 3, Infinity] - 
     28928*S[-5, -1, -1, -1, Infinity] + 22656*S[-5, -1, 1, 1, Infinity] + 
     12544*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[1, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (53*S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     (2833*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((197*S[-1, Infinity]^2)/64 + (21097*S[2, Infinity])/896)*
      S[5, Infinity] - (202275*S[7, Infinity])/3584 - 
     (149*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (-149*S[-5, 1, 1, Infinity] - 198*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*((-21*S[-1, Infinity]^4)/64 + 
       (73*S[-1, Infinity]^2*S[2, Infinity])/16 + (17749*S[2, Infinity]^2)/
        2240 + (63*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity])) + S[3, Infinity]*
    ((-491*S[-1, Infinity]^5)/6720 - (185*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (8611*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (263*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(139*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, 1, -1, 2, 1, 2, Infinity] -> (5*S[-1, Infinity]^8)/576 + 
   (127*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (2782431*S[2, Infinity]^4)/
    784000 + ((2691*S[-1, Infinity]^2)/256 + (3519*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-19*S[-1, Infinity]^3)/16 - 
     (41*S[-1, Infinity]*S[2, Infinity])/128 + (34207*S[3, Infinity])/1792)*
    S[5, Infinity] - (100917*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (3*S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] + 52*S[5, -1, -1, Infinity]))/
    28 + S[1, Infinity]^2*((3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (9*S[2, Infinity]^3)/56 + (11*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (7*S[3, Infinity]^2)/8 - 
     (177*S[-1, Infinity]*S[5, Infinity])/128 - S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/32 + (3*S[-1, 1, 1, 1, Infinity])/
        4)) - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((2311*S[-1, Infinity]^4)/6720 + 
     (979*S[-1, 1, 1, 1, Infinity])/280) + 
   (-18080*S[-7, -1, Infinity] - 8011*S[5, 3, Infinity] - 
     13760*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] + 
     11200*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (97*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (607*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((487*S[-1, Infinity]^2)/128 + (25*S[2, Infinity])/8)*S[5, Infinity] - 
     (63*S[7, Infinity])/512 + (S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     (2*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity])/2 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/64 - 2*S[-1, Infinity]^2*
        S[2, Infinity] - (161*S[2, Infinity]^2)/80 - 
       (21*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (S[-1, Infinity]^5/16 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2)) + S[3, Infinity]*((-3593*S[-1, Infinity]^5)/6720 + 
     (2879*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2977*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (83*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (86*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-21*S[-1, Infinity]^6)/160 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-171*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[1, 1, 1, -2, -1, -2, Infinity] -> (-5*S[-1, Infinity]^8)/896 - 
   (771*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (619737*S[2, Infinity]^4)/196000 + 
   ((-337*S[-1, Infinity]^2)/64 + (18715*S[2, Infinity])/2688)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 - 
     (681*S[-1, Infinity]*S[2, Infinity])/64 + (101285*S[3, Infinity])/21504)*
    S[5, Infinity] - (358165*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/1680 - (53*S[-1, 1, 1, 1, Infinity])/
      35) + (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((509*S[-1, Infinity]^5)/1680 - 
     (134*S[-1, Infinity]^3*S[2, Infinity])/63 - 
     (10289*S[-1, Infinity]*S[2, Infinity]^2)/1920 - 
     (151*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (823*S[-1, 1, 1, 1, 1, Infinity])/168) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/30 - 
     (S[-1, Infinity]^3*S[2, Infinity])/9 + 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/30 - 
     (13*S[2, Infinity]*S[3, Infinity])/96 + (547*S[5, Infinity])/192 - 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (8*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/30 - (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (989*S[2, Infinity]^3)/1120 + (659*S[3, Infinity]^2)/256 - 
     (1457*S[-1, Infinity]*S[5, Infinity])/128 - 7*S[-5, -1, Infinity] + 
     S[2, Infinity]*((11*S[-1, Infinity]^4)/96 - (3*S[-1, 1, 1, 1, Infinity])/
        4) + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(19*S[-5, -1, Infinity] + 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (171*S[-5, -1, Infinity] + 
       350*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-174*S[-5, 1, 1, Infinity] + 85*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/63 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (25*S[-1, Infinity]*S[2, Infinity]^3)/8 + 
     (1067*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((155*S[-1, Infinity]^2)/64 - (1535*S[2, Infinity])/224)*
      S[5, Infinity] + (198503*S[7, Infinity])/3584 + 
     S[3, Infinity]*(S[-1, Infinity]^4/64 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 - (1657*S[2, Infinity]^2)/1120 - 
       (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (17*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-173*S[-5, -1, Infinity] + 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-121*S[-5, 1, 1, Infinity] + 138*S[5, -1, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1907520*S[-7, -1, Infinity] - 234727*S[5, 3, Infinity] - 
     101120*S[-5, -1, -1, -1, Infinity] - 185600*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 1, -2, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/384 + (99*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (120573*S[2, Infinity]^4)/112000 + 
   ((-83*S[-1, Infinity]^2)/128 - (611*S[2, Infinity])/384)*
    S[3, Infinity]^2 + S[1, Infinity]^3*(-(S[-1, Infinity]*S[2, Infinity]^2)/
      16 + (25*S[2, Infinity]*S[3, Infinity])/48 - (121*S[5, Infinity])/
      128) + ((9*S[-1, Infinity]*S[2, Infinity])/2 + 
     (635*S[3, Infinity])/256)*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/192 + 
     (21*S[-1, 1, 1, 1, Infinity])/8) - 
   (3*(2400*S[-7, -1, Infinity] - 599*S[5, 3, Infinity] - 
      640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2))/1280 + 
   S[1, Infinity]^2*((3*S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
     (31*S[2, Infinity]^3)/56 + S[3, Infinity]^2/32 - 
     (7*S[-5, -1, Infinity])/4 + S[2, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, 1, 1, 1, Infinity])/2)) + S[1, Infinity]*
    (-(S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (1657*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (167*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (6389*S[2, Infinity]*S[5, Infinity])/896 + (38841*S[7, Infinity])/7168 + 
     (53*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (53*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/16 + (699*S[2, Infinity]^2)/
        2240 - 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (S[-1, Infinity]^5/120 - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/120 - 
     (S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (29*S[-1, Infinity]*S[2, Infinity]^2)/40 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (15*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, 1, 1, -2, 1, -2, Infinity] -> (-5*S[-1, Infinity]^8)/1152 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (333*S[2, Infinity]^4)/1000 + 
   ((-7*S[-1, Infinity]^2)/128 + (121*S[2, Infinity])/768)*S[3, Infinity]^2 + 
   S[1, Infinity]^2*((11*S[2, Infinity]^3)/560 + S[3, Infinity]^2/256) + 
   S[1, Infinity]^3*((S[2, Infinity]*S[3, Infinity])/96 + 
     (5*S[5, Infinity])/48) + ((-31*S[-1, Infinity]*S[2, Infinity])/32 - 
     (2327*S[3, Infinity])/768)*S[5, Infinity] + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (3*S[2, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
   (-113*S[5, 3, Infinity] - 1600*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/320 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(-(S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (73*S[-1, Infinity]*S[3, Infinity]^2)/64 - 
     (59*S[2, Infinity]*S[5, Infinity])/32 + (1037*S[7, Infinity])/128 + 
     S[-1, Infinity]*S[-5, -1, Infinity] + S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity] + S[3, Infinity]*((13*S[-1, Infinity]^4)/192 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/32 - (43*S[2, Infinity]^2)/32 - 
       (13*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (S[-1, Infinity]^5/30 - S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       S[-1, 1, 1, 1, 1, Infinity])) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/288 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      4 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 1, 1, -2, 1, 2, Infinity] -> -S[-1, Infinity]^8/1152 - 
   (457*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (53077*S[2, Infinity]^4)/98000 + ((-869*S[-1, Infinity]^2)/448 - 
     (4315*S[2, Infinity])/2688)*S[3, Infinity]^2 + 
   S[1, Infinity]^3*((S[2, Infinity]*S[3, Infinity])/96 - 
     (53*S[5, Infinity])/384) + ((-31*S[-1, Infinity]^3)/64 + 
     (293*S[-1, Infinity]*S[2, Infinity])/224 - (15595*S[3, Infinity])/10752)*
    S[5, Infinity] + (52371*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[1, Infinity]^2*((61*S[2, Infinity]^3)/1120 - (35*S[3, Infinity]^2)/256 + 
     (93*S[-1, Infinity]*S[5, Infinity])/128 + (3*S[-5, -1, Infinity])/8) + 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-437*S[-1, Infinity]^4)/6720 - 
     (193*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (71040*S[-7, -1, Infinity] + 26413*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] - 21120*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (275*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (109*S[2, Infinity]*S[5, Infinity])/56 - (23335*S[7, Infinity])/3584 - 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (-5*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity])/28 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 + (587*S[2, Infinity]^2)/
        560 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2)) + S[3, Infinity]*
    ((797*S[-1, Infinity]^5)/6720 - (587*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (1343*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (73*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, 1, 2, -1, -2, Infinity] -> -S[-1, Infinity]^8/128 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (36189*S[2, Infinity]^4)/
    56000 + ((27*S[-1, Infinity]^2)/128 + (53*S[2, Infinity])/48)*
    S[3, Infinity]^2 + S[1, Infinity]^3*
    ((S[-1, Infinity]*S[2, Infinity]^2)/16 - (S[2, Infinity]*S[3, Infinity])/
      6 + (257*S[5, Infinity])/384) + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/2 - (6311*S[3, Infinity])/1536)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
     (43*S[2, Infinity]^3)/112 + (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 + (39*S[3, Infinity]^2)/128 + 
     (7*S[-5, -1, Infinity])/4 + S[2, Infinity]*(S[-1, Infinity]^4/48 - 
       S[-1, 1, 1, 1, Infinity]/2)) + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/60 - (57*S[-1, 1, 1, 1, Infinity])/20) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (14400*S[-7, -1, Infinity] - 2849*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     11520*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*(S[-1, Infinity]^5/16 - (S[-1, Infinity]^3*S[2, Infinity])/
      3 - (59*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (155*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (365*S[-1, Infinity]*S[3, Infinity]^2)/112 - 
     (3929*S[2, Infinity]*S[5, Infinity])/896 + (195211*S[7, Infinity])/
      7168 + (73*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (73*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
     S[3, Infinity]*((31*S[-1, Infinity]^4)/192 - 
       (59*S[-1, Infinity]^2*S[2, Infinity])/32 - (2301*S[2, Infinity]^2)/
        560 - (31*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(3*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[1, 1, 1, 2, -1, 2, Infinity] -> (-11*S[-1, Infinity]^8)/8064 - 
   (631*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1377329*S[2, Infinity]^4)/784000 + 
   ((-2467*S[-1, Infinity]^2)/896 - (23861*S[2, Infinity])/2688)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/96 + 
     (2123*S[-1, Infinity]*S[2, Infinity])/224 - (14975*S[3, Infinity])/896)*
    S[5, Infinity] + (294347*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1559*S[-1, Infinity]^4)/6720 - 
     (541*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/30 + 
     (S[-1, Infinity]^3*S[2, Infinity])/9 - 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/30 - 
     (S[2, Infinity]*S[3, Infinity])/6 - (169*S[5, Infinity])/64 + 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (8*S[-1, 1, 1, 1, 1, Infinity])/3) + S[3, Infinity]*
    ((67*S[-1, Infinity]^5)/336 - (1429*S[-1, Infinity]^3*S[2, Infinity])/
      1008 - (173*S[-1, Infinity]*S[2, Infinity]^2)/105 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (95*S[-1, 1, 1, 1, 1, Infinity])/42) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/480 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (131*S[-5, -1, Infinity] - 
       406*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/30 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (1213*S[2, Infinity]^3)/1120 - 
     (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 - 
     (81*S[3, Infinity]^2)/32 + (1271*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^4)/32 + S[-1, 1, 1, 1, Infinity]/
        4) - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (25*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (3*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/63 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (517*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (621*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-155*S[-1, Infinity]^2)/64 + (1963*S[2, Infinity])/448)*
      S[5, Infinity] - (393483*S[7, Infinity])/7168 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-25*S[-1, Infinity]^4)/192 + 
       (39*S[-1, Infinity]^2*S[2, Infinity])/32 + (1941*S[2, Infinity]^2)/
        1120 + (25*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-9*S[-1, Infinity]^5)/80 + 
       (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       10*S[-1, 1, 1, 1, 1, Infinity]) - 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(13*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (96*S[-5, 1, 1, Infinity] - 121*S[5, -1, -1, Infinity] - 
       896*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] - 194*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (877760*S[-7, -1, Infinity] + 142143*S[5, 3, Infinity] + 
     120320*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, 2, 1, -2, Infinity] -> 
  (39*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (1308591*S[2, Infinity]^4)/
    392000 + ((65*S[-1, Infinity]^2)/56 - (113*S[2, Infinity])/42)*
    S[3, Infinity]^2 + S[1, Infinity]^3*
    ((5*S[2, Infinity]*S[3, Infinity])/96 - (59*S[5, Infinity])/128) + 
   ((-155*S[-1, Infinity]^3)/64 + (407*S[-1, Infinity]*S[2, Infinity])/112 - 
     (31443*S[3, Infinity])/7168)*S[5, Infinity] + 
   (243717*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (26*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   S[1, Infinity]^2*((7*S[2, Infinity]^3)/10 - (165*S[3, Infinity]^2)/256 + 
     (465*S[-1, Infinity]*S[5, Infinity])/128 + (15*S[-5, -1, Infinity])/8) + 
   S[1, Infinity]*((53*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (753*S[2, Infinity]^2*S[3, Infinity])/1120 - 
     (477*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     (817*S[2, Infinity]*S[5, Infinity])/112 - (121861*S[7, Infinity])/7168 - 
     (53*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity])/28) - 
   (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    28 + (981440*S[-7, -1, Infinity] + 111537*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/840 - 
     (13*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/420 + (13*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (8413*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[1, 1, 1, 2, 1, 2, Infinity] -> 
  (-271*S[2, Infinity]^4)/175 - (S[2, Infinity]*S[3, Infinity]^2)/12 + 
   S[1, Infinity]^2*((-19*S[2, Infinity]^3)/35 + S[3, Infinity]^2/4) + 
   S[1, Infinity]^3*(-(S[2, Infinity]*S[3, Infinity])/6 + 
     (3*S[5, Infinity])/4) + (5*S[3, Infinity]*S[5, Infinity])/2 + 
   S[1, Infinity]*((-9*S[2, Infinity]^2*S[3, Infinity])/10 - 
     (15*S[2, Infinity]*S[5, Infinity])/4 + 17*S[7, Infinity]) - 
   S[5, 3, Infinity], S[1, -1, -1, -1, -3, -1, Infinity] -> 
  -S[-1, Infinity]^8/480 + (331*S[-1, Infinity]^2*S[2, Infinity]^3)/105 + 
   (958417*S[2, Infinity]^4)/784000 + 
   ((-1235*S[-1, Infinity]^2)/896 - (16951*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((57*S[-1, Infinity]^3)/32 + 
     (56183*S[-1, Infinity]*S[2, Infinity])/896 + (80583*S[3, Infinity])/
      3584)*S[5, Infinity] - (1165*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-1299*S[-1, Infinity]^4)/2240 - 
     (151*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-583*S[-1, Infinity]^5)/3360 + (835*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (48163*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (583*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 - (505*S[-5, -1, Infinity])/14 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-619*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/360 - (S[-1, Infinity]^5*S[2, Infinity])/
      24 + (19*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (559*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     ((-3*S[-1, Infinity]^2*S[2, Infinity])/2 - (471*S[2, Infinity]^2)/224)*
      S[3, Infinity] + (335*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-605*S[-1, Infinity]^2)/64 - (9059*S[2, Infinity])/448)*
      S[5, Infinity] + (7753*S[7, Infinity])/224 - 
     (2*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/7 - 
     (S[-1, Infinity]*(11*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (2425600*S[-7, -1, Infinity] + 429871*S[5, 3, Infinity] + 
     326400*S[-5, -1, -1, -1, Infinity] + 193280*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, -1, -1, -3, 1, Infinity] -> (-11*S[-1, Infinity]^8)/10080 + 
   (191*S[-1, Infinity]^2*S[2, Infinity]^3)/336 - 
   (424243*S[2, Infinity]^4)/156800 + 
   ((-2451*S[-1, Infinity]^2)/896 - (10251*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]^3)/32 + 
     (11703*S[-1, Infinity]*S[2, Infinity])/448 + (19035*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/80 - 
     (1291*S[-5, -1, Infinity])/56) + S[2, Infinity]^2*
    ((67*S[-1, Infinity]^4)/672 - (109*S[-1, 1, 1, 1, Infinity])/28) + 
   S[3, Infinity]*((253*S[-1, Infinity]^5)/1680 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (22373*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (125*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-323*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/630 - (S[-1, Infinity]^5*S[2, Infinity])/
      60 + (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (541*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (29*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-481*S[-1, Infinity]^2)/64 - (5647*S[2, Infinity])/448)*
      S[5, Infinity] + (14341*S[7, Infinity])/448 + 
     S[3, Infinity]*((-23*S[-1, Infinity]^4)/96 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 - (1289*S[2, Infinity]^2)/
        1120 + 4*S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(27*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (2*(13*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (142720*S[-7, -1, Infinity] + 25965*S[5, 3, Infinity] + 
     15744*S[-5, -1, -1, -1, Infinity] + 13376*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[1, -1, -1, -1, 3, -1, Infinity] -> (11*S[-1, Infinity]^8)/6720 - 
   (743*S[-1, Infinity]^2*S[2, Infinity]^3)/420 - 
   (408329*S[2, Infinity]^4)/156800 + 
   ((1425*S[-1, Infinity]^2)/1792 + (24449*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((295*S[-1, Infinity]^3)/96 - 
     (34975*S[-1, Infinity]*S[2, Infinity])/896 - (140053*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((869*S[-1, Infinity]^4)/1680 + 
     (69*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((149*S[-1, Infinity]^5)/2240 - (317*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (64313*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (447*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/360 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (257*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(239*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/630 + 
     (S[-1, Infinity]^5*S[2, Infinity])/30 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (3139*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/2 + (69*S[2, Infinity]^2)/35)*
      S[3, Infinity] - (13*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((201*S[-1, Infinity]^2)/64 + (5755*S[2, Infinity])/448)*
      S[5, Infinity] - (27465*S[7, Infinity])/1792 - 
     (20*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (15*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-529344*S[-7, -1, Infinity] - 124315*S[5, 3, Infinity] - 
     102656*S[-5, -1, -1, -1, Infinity] - 35328*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, -1, -1, -1, 3, 1, Infinity] -> -S[-1, Infinity]^8/20160 + 
   (457*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (1917001*S[2, Infinity]^4)/784000 + 
   ((-3149*S[-1, Infinity]^2)/1792 + (7435*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1273*S[-1, Infinity]^3)/384 + 
     (1023*S[-1, Infinity]*S[2, Infinity])/896 - (214331*S[3, Infinity])/
      7168)*S[5, Infinity] + (61973*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((479*S[-1, Infinity]^4)/1680 + 
     (67*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((237*S[-1, Infinity]^5)/2240 - (25*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (19167*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (319*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(23*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (95*S[-5, -1, Infinity] + 
       7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(S[-1, Infinity]^7/2520 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (671*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((-7*S[-1, Infinity]^4)/96 - (7*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (2949*S[2, Infinity]^2)/1120)*S[3, Infinity] - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((371*S[-1, Infinity]^2)/128 + (12025*S[2, Infinity])/896)*
      S[5, Infinity] - (116903*S[7, Infinity])/3584 - 
     (51*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[2, Infinity]*(S[-1, Infinity]^5/120 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (89*S[-5, 1, 1, Infinity] - 128*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] + 36*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-476480*S[-7, -1, Infinity] - 201749*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] - 171520*S[-5, -1, 1, 1, Infinity] - 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, 1, -3, -1, Infinity] -> (281*S[-1, Infinity]^8)/40320 - 
   (551*S[-1, Infinity]^2*S[2, Infinity]^3)/420 - 
   (700057*S[2, Infinity]^4)/392000 + 
   ((3705*S[-1, Infinity]^2)/1792 + (17499*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/192 - 
     (11437*S[-1, Infinity]*S[2, Infinity])/448 - (33135*S[3, Infinity])/
      1792)*S[5, Infinity] + S[2, Infinity]^2*
    ((1151*S[-1, Infinity]^4)/2240 - (191*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/1120 - 
     (815*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (9041*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (229*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/288 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1039*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/105 - 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (907*S[-1, Infinity]*S[2, Infinity]^3)/672 - 
     (23*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((201*S[-1, Infinity]^2)/64 + (4413*S[2, Infinity])/448)*
      S[5, Infinity] - (115793*S[7, Infinity])/7168 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/64 + 
       (43*S[-1, Infinity]^2*S[2, Infinity])/32 + (145*S[2, Infinity]^2)/56 + 
       (23*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((23*S[-1, Infinity]^5)/240 - (S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(9*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-2*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-262160*S[-7, -1, Infinity] - 48893*S[5, 3, Infinity] - 
     37120*S[-5, -1, -1, -1, Infinity] - 27840*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, -1, 1, -3, 1, Infinity] -> 
  (167*S[-1, Infinity]^8)/10080 + (1781*S[-1, Infinity]^2*S[2, Infinity]^3)/
    480 + (201479*S[2, Infinity]^4)/156800 + 
   ((10569*S[-1, Infinity]^2)/1792 - (2847*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((95*S[-1, Infinity]^3)/384 + 
     (9831*S[-1, Infinity]*S[2, Infinity])/448 + (6043*S[3, Infinity])/3584)*
    S[5, Infinity] - (165819*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1193*S[-1, Infinity]^4)/6720 + 
     (2391*S[-1, 1, 1, 1, Infinity])/280) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-943*S[-1, Infinity]^5)/1680 + 
     (143*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (11699*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (53*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/360 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (379*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/2520 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (2519*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (2017*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((371*S[-1, Infinity]^2)/128 - (6605*S[2, Infinity])/896)*
      S[5, Infinity] + (25013*S[7, Infinity])/3584 + 
     S[3, Infinity]*((41*S[-1, Infinity]^4)/192 - 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 - (6179*S[2, Infinity]^2)/
        2240 - (41*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/120 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-125*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (33*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(134*S[-5, 1, 1, Infinity] + 141*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4352*S[-7, -1, Infinity] + 6581*S[5, 3, Infinity] + 
     5632*S[-5, -1, -1, -1, Infinity] - 9216*S[-5, -1, 1, 1, Infinity] + 
     21504*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, -1, 1, 3, -1, Infinity] -> 
  (481*S[-1, Infinity]^8)/40320 + (11231*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (18587*S[2, Infinity]^4)/19600 + 
   ((-1455*S[-1, Infinity]^2)/896 - (27151*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((497*S[-1, Infinity]^3)/192 + 
     (19741*S[-1, Infinity]*S[2, Infinity])/448 + (245025*S[3, Infinity])/
      7168)*S[5, Infinity] + (18089*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (363*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-773*S[-1, Infinity]^4)/1120 + 
     (67*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1123*S[-1, Infinity]^5)/3360 + 
     (1567*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (77761*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (857*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/1440 - (2449*S[-5, -1, Infinity])/
      56 + (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/2520 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (349*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     (3799*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-605*S[-1, Infinity]^2)/64 - (681*S[2, Infinity])/56)*S[5, Infinity] + 
     (13479*S[7, Infinity])/896 - (99*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[3, Infinity]*(S[-1, Infinity]^4/12 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (3169*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^5)/48 + 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-141*S[-5, 1, 1, Infinity] + 
       104*S[5, -1, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) - (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 
      37*S[5, -1, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (902080*S[-7, -1, Infinity] + 145427*S[5, 3, Infinity] + 
     91904*S[-5, -1, -1, -1, Infinity] + 107008*S[-5, -1, 1, 1, Infinity] + 
     32256*S[-1, 1, 1, 1, Infinity]^2 - 129024*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, -1, 1, 3, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/1260 + (869*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (1436539*S[2, Infinity]^4)/784000 + 
   ((-317*S[-1, Infinity]^2)/448 - (14633*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((125*S[-1, Infinity]^3)/192 + 
     (19403*S[-1, Infinity]*S[2, Infinity])/896 + (62749*S[3, Infinity])/
      7168)*S[5, Infinity] - (235*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/224 - 
     (121*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-93*S[-1, Infinity]^5)/1120 + 
     (93*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (34707*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (279*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/720 - (166*S[-5, -1, Infinity])/
      7 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/315 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (439*S[-1, Infinity]*S[2, Infinity]^3)/672 + 
     (4411*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-481*S[-1, Infinity]^2)/64 - (3681*S[2, Infinity])/448)*
      S[5, Infinity] + (125921*S[7, Infinity])/7168 - 
     (20*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/48 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 + (1847*S[2, Infinity]^2)/
        2240 + (11*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-122*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2630080*S[-7, -1, Infinity] + 346471*S[5, 3, Infinity] + 
     247040*S[-5, -1, -1, -1, Infinity] + 290560*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, -1, -3, -1, Infinity] -> 
  (-67*S[-1, Infinity]^8)/20160 + (167*S[-1, Infinity]^2*S[2, Infinity]^3)/
    480 + (10617*S[2, Infinity]^4)/78400 + 
   ((2463*S[-1, Infinity]^2)/1792 - (8375*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-209*S[-1, Infinity]^3)/48 + 
     (19585*S[-1, Infinity]*S[2, Infinity])/896 - (11877*S[3, Infinity])/
      1792)*S[5, Infinity] + S[2, Infinity]^2*((239*S[-1, Infinity]^4)/1120 - 
     (31*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(S[-1, Infinity]^5/420 + 
     (803*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5819*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-187*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-177*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/420 - 
     (89*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (481*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     (589*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-97*S[-1, Infinity]^2)/16 - (1293*S[2, Infinity])/56)*S[5, Infinity] + 
     (106427*S[7, Infinity])/1792 + S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (45*S[-1, Infinity]^2*S[2, Infinity])/16 - (4257*S[2, Infinity]^2)/
        1120 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-127*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-45*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (125696*S[-7, -1, Infinity] + 25615*S[5, 3, Infinity] + 
     22016*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, 1, -1, -3, 1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/3360 + (4189*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (1337999*S[2, Infinity]^4)/784000 + 
   ((521*S[-1, Infinity]^2)/256 - (26949*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-4183*S[-1, Infinity]^3)/384 + 
     (4267*S[-1, Infinity]*S[2, Infinity])/128 + (80935*S[3, Infinity])/3584)*
    S[5, Infinity] + (169489*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((419*S[-1, Infinity]^4)/3360 - 
     (167*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/210 + 
     (257*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (481*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (101*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-47*S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-1235*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(38*S[-5, 1, 1, Infinity] - 151*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/2520 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (541*S[-1, Infinity]*S[2, Infinity]^3)/480 - 
     (269*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((61*S[-1, Infinity]^2)/128 - (17589*S[2, Infinity])/896)*
      S[5, Infinity] + (256219*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 - (5153*S[2, Infinity]^2)/2240 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/24 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(55*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-52*S[-5, 1, 1, Infinity] + 123*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (398240*S[-7, -1, Infinity] + 78377*S[5, 3, Infinity] + 
     64000*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, -1, 1, -1, 3, -1, Infinity] -> (-107*S[-1, Infinity]^8)/20160 + 
   (4723*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (959627*S[2, Infinity]^4)/196000 + 
   ((895*S[-1, Infinity]^2)/896 - (25719*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-191*S[-1, Infinity]^3)/32 + 
     (15909*S[-1, Infinity]*S[2, Infinity])/896 + (281545*S[3, Infinity])/
      7168)*S[5, Infinity] + (128867*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-571*S[-1, Infinity]^4)/2240 - 
     (207*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/140 + 
     (725*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (67349*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (407*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/360 - (2405*S[-5, -1, Infinity])/
      56 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-505*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 97*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 + 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     (285*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     (-S[-1, Infinity]^2/4 + (19*S[2, Infinity])/16)*S[5, Infinity] - 
     (151*S[7, Infinity])/256 - 3*S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity] - (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/
      3 + S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (43*S[-1, Infinity]^2*S[2, Infinity])/16 + (269*S[2, Infinity]^2)/
        320 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/60 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (4020160*S[-7, -1, Infinity] + 693177*S[5, 3, Infinity] + 
     428800*S[-5, -1, -1, -1, Infinity] + 529920*S[-5, -1, 1, 1, Infinity] - 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, 3, 1, Infinity] -> -S[-1, Infinity]^8/105 - 
   (1513*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (249703*S[2, Infinity]^4)/56000 + 
   ((31*S[-1, Infinity]^2)/64 - (1347*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]^3)/8 + (109*S[-1, Infinity]*S[2, Infinity])/64 + 
     (7719*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/480 - 
     (93*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/60 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (1409*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     9*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((53*S[-1, Infinity]^6)/720 - (59*S[-5, -1, Infinity])/2 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] + 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(S[-1, Infinity]^7/180 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (787*S[-1, Infinity]*S[2, Infinity]^3)/672 + 
     (3519*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-163*S[-1, Infinity]^2)/32 - (51*S[2, Infinity])/56)*S[5, Infinity] + 
     (124639*S[7, Infinity])/7168 + S[3, Infinity]*
      ((-3*S[-1, Infinity]^4)/32 + (9*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (779*S[2, Infinity]^2)/2240 + S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(43*S[-5, -1, Infinity] + 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-127*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (316480*S[-7, -1, Infinity] + 45859*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] + 57600*S[-5, -1, 1, 1, Infinity] - 
     15360*S[-1, 1, 1, 1, Infinity]^2 - 112640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, 1, 1, -3, -1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/4480 + (9941*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (352853*S[2, Infinity]^4)/784000 + 
   ((713*S[-1, Infinity]^2)/896 - (7543*S[2, Infinity])/448)*
    S[3, Infinity]^2 + (-5*S[-1, Infinity]^3 + 
     (19361*S[-1, Infinity]*S[2, Infinity])/448 + (64797*S[3, Infinity])/
      3584)*S[5, Infinity] + (20957*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((27*S[-1, Infinity]^4)/280 - 
     (1439*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/336 + 
     (725*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (8997*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (247*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/480 - (1695*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-319*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 18*S[5, -1, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/840 - 
     (4*S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
     (859*S[-1, Infinity]*S[2, Infinity]^3)/840 - 
     (823*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (-S[-1, Infinity]^2/4 - (639*S[2, Infinity])/112)*S[5, Infinity] + 
     (30895*S[7, Infinity])/1792 + S[3, Infinity]*
      ((13*S[-1, Infinity]^4)/96 - (37*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (317*S[2, Infinity]^2)/224 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/80 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-1, Infinity]*(10*S[-5, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (19*S[-5, 1, 1, Infinity] + 26*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (2129600*S[-7, -1, Infinity] + 379311*S[5, 3, Infinity] + 
     294400*S[-5, -1, -1, -1, Infinity] + 158080*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 1, 1, -3, 1, Infinity] -> 
  (-67*S[-1, Infinity]^8)/20160 + (34*S[-1, Infinity]^2*S[2, Infinity]^3)/
    105 - (901839*S[2, Infinity]^4)/392000 + 
   ((-1315*S[-1, Infinity]^2)/896 - (3145*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]^3)/32 + 
     (5139*S[-1, Infinity]*S[2, Infinity])/448 + (26337*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((-269*S[-1, Infinity]^4)/1680 - 
     (11*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/3360 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (3673*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (219*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - (611*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(29*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/420 + 
     (139*S[-1, Infinity]*S[2, Infinity]^3)/168 + 
     (537*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-163*S[-1, Infinity]^2)/32 - (1177*S[2, Infinity])/112)*
      S[5, Infinity] + (72809*S[7, Infinity])/1792 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/96 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 - (3113*S[2, Infinity]^2)/
        1120 - (13*S[-1, 1, 1, 1, Infinity])/4) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 5*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-15*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (67040*S[-7, -1, Infinity] + 10091*S[5, 3, Infinity] + 
     5280*S[-5, -1, -1, -1, Infinity] + 8720*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2 - 22400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[1, -1, 1, 1, 3, -1, Infinity] -> 
  (97*S[-1, Infinity]^8)/13440 - (5899*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (2262901*S[2, Infinity]^4)/784000 + 
   ((347*S[-1, Infinity]^2)/1792 + (4023*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((47*S[-1, Infinity]^3)/96 - 
     (789*S[-1, Infinity]*S[2, Infinity])/56 - (19905*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((977*S[-1, Infinity]^4)/6720 + 
     (9*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-533*S[-1, Infinity]^5)/6720 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (15523*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (141*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-253*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(135*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/180 + 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (5651*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     (841*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-97*S[-1, Infinity]^2)/16 - (1293*S[2, Infinity])/224)*
      S[5, Infinity] + (180655*S[7, Infinity])/7168 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/64 + 
       (39*S[-1, Infinity]^2*S[2, Infinity])/32 - (39*S[2, Infinity]^2)/280 + 
       (5*S[-1, 1, 1, 1, Infinity])/8) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/240 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(41*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-89*S[-5, 1, 1, Infinity] + 65*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (59200*S[-7, -1, Infinity] - 94041*S[5, 3, Infinity] - 
     136960*S[-5, -1, -1, -1, Infinity] + 101120*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, 3, 1, Infinity] -> 
  S[-1, Infinity]^8/840 + (853*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (969321*S[2, Infinity]^4)/784000 + 
   ((3377*S[-1, Infinity]^2)/1792 - (11051*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2323*S[-1, Infinity]^3)/384 + 
     (8277*S[-1, Infinity]*S[2, Infinity])/896 + (19457*S[3, Infinity])/7168)*
    S[5, Infinity] + (8383*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((603*S[-1, Infinity]^4)/2240 - 
     (121*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/448 + 
     (391*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5339*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (685*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-345*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1021*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - 14*S[5, -1, -1, Infinity] - 
      40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/280 - 
     (4*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (73*S[-1, Infinity]*S[2, Infinity]^3)/480 - 
     (69*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((61*S[-1, Infinity]^2)/128 + (3795*S[2, Infinity])/896)*
      S[5, Infinity] - (54069*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/192 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 + (109*S[2, Infinity]^2)/112 + 
       (5*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (S[-1, Infinity]^5/40 - S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-9*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (2*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2297280*S[-7, -1, Infinity] + 331089*S[5, 3, Infinity] + 
     244480*S[-5, -1, -1, -1, Infinity] + 203520*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, -1, -3, -1, Infinity] -> 
  (137*S[-1, Infinity]^8)/40320 - (337*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1875887*S[2, Infinity]^4)/1176000 + 
   ((-183*S[-1, Infinity]^2)/448 - (615*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/8 + 
     (621*S[-1, Infinity]*S[2, Infinity])/56 + (50969*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-1623*S[-1, Infinity]^4)/2240 + 
     (47*S[-1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/560 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (4533*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (159*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/240 + (S[-1, Infinity]^4*S[2, Infinity])/16 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (2113*S[2, Infinity]^3)/3360 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     S[3, Infinity]^2/64 + (15*S[-1, Infinity]*S[5, Infinity])/64 - 
     (3*(-S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-2*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-465*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/2520 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (149*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (165*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-325*S[-1, Infinity]^2)/64 - (1391*S[2, Infinity])/112)*
      S[5, Infinity] + (122869*S[7, Infinity])/7168 - 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/64 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (681*S[2, Infinity]^2)/
        560 + (15*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-67*S[-1, Infinity]^5)/240 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-66*S[-5, 1, 1, Infinity] + 
       137*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (813760*S[-7, -1, Infinity] + 137219*S[5, 3, Infinity] + 
     81920*S[-5, -1, -1, -1, Infinity] + 119680*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -1, -3, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/5040 - (207*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (1638011*S[2, Infinity]^4)/588000 + 
   ((23*S[-1, Infinity]^2)/64 - (769*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-677*S[-1, Infinity]^3)/64 - (1269*S[-1, Infinity]*S[2, Infinity])/128 + 
     (57871*S[3, Infinity])/3584)*S[5, Infinity] + 
   (182047*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-2741*S[-1, Infinity]^4)/6720 - 
     (1683*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/672 - 
     (599*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (113*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (103*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/48 - (493*S[-5, -1, Infinity])/28 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/720 - 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (403*S[2, Infinity]^3)/
      672 + ((-7*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] - S[3, Infinity]^2/4 + 
     (15*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]) + 
     (11*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      10*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((19*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (1707*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (173*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((33*S[-1, Infinity]^2)/8 + (2747*S[2, Infinity])/224)*S[5, Infinity] - 
     (241225*S[7, Infinity])/7168 + S[3, Infinity]*
      ((11*S[-1, Infinity]^4)/192 + (59*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (1227*S[2, Infinity]^2)/560 + (31*S[-1, 1, 1, 1, Infinity])/8) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-74*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (824960*S[-7, -1, Infinity] + 146501*S[5, 3, Infinity] + 
     99840*S[-5, -1, -1, -1, Infinity] + 101760*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -1, 3, -1, Infinity] -> 
  (-139*S[-1, Infinity]^8)/40320 - (41*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (755929*S[2, Infinity]^4)/294000 + 
   ((123*S[-1, Infinity]^2)/32 + (1483*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-1783*S[-1, Infinity]^3)/192 - 
     (4107*S[-1, Infinity]*S[2, Infinity])/128 - (14487*S[3, Infinity])/1792)*
    S[5, Infinity] + (73445*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((999*S[-1, Infinity]^4)/1120 - 
     (471*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-143960*S[-7, -1, Infinity] - 18689*S[5, 3, Infinity] - 
     9600*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity] - 
     10080*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/112 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (847*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (195*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/120 - 
     (S[-1, Infinity]^4*S[2, Infinity])/12 + 
     (27*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (295*S[2, Infinity]^3)/
      672 - (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 + 
     (7*S[3, Infinity]^2)/8 - (311*S[-1, Infinity]*S[5, Infinity])/128 - 
     (5*S[-5, -1, Infinity])/2 - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity]) + S[2, Infinity]*((-5*S[-1, Infinity]^6)/288 + 
     (265*S[-5, -1, Infinity])/14 - (9*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-29*S[-1, Infinity]^7)/2520 - 
     (28*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (121*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (423*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((2419*S[-1, Infinity]^2)/128 + (3467*S[2, Infinity])/112)*
      S[5, Infinity] - (6995*S[7, Infinity])/112 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 + (3181*S[2, Infinity]^2)/
        1120 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((73*S[-1, Infinity]^5)/240 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-179*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (93*S[-5, 1, 1, Infinity] - 145*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 164*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, 1, -1, -1, 3, 1, Infinity] -> (13*S[-1, Infinity]^8)/5040 + 
   (257*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1285201*S[2, Infinity]^4)/336000 + 
   ((45*S[-1, Infinity]^2)/64 + (367*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-311*S[-1, Infinity]^3)/384 - (2231*S[-1, Infinity]*S[2, Infinity])/
      128 - (3305*S[3, Infinity])/512)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*((-39*S[-1, Infinity]^4)/160 + 
     (127*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    (-S[-1, Infinity]^5/12 - (5*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (191*S[-1, Infinity]*S[2, Infinity]^2)/32 - S[-1, 1, 1, 1, 1, Infinity]/
      2) - (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (31*S[-5, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/180 - 
     (S[-1, Infinity]^4*S[2, Infinity])/24 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (1801*S[2, Infinity]^3)/3360 + 
     ((-7*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (9*S[3, Infinity]^2)/32 - 
     (311*S[-1, Infinity]*S[5, Infinity])/128 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-21*S[-5, -1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/140 + 
     (7*S[-1, Infinity]^5*S[2, Infinity])/120 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (313*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (75*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((667*S[-1, Infinity]^2)/64 + (1725*S[2, Infinity])/128)*
      S[5, Infinity] - (21485*S[7, Infinity])/512 + 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[3, Infinity]*((15*S[-1, Infinity]^4)/32 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (247*S[2, Infinity]^2)/80 - 
       6*S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(5*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (-155840*S[-7, -1, Infinity] - 22389*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 16000*S[-5, -1, 1, 1, Infinity] + 
     20480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, 1, -1, 1, -3, -1, Infinity] -> (-23*S[-1, Infinity]^8)/2240 - 
   (967*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (154267*S[2, Infinity]^4)/147000 + 
   ((179*S[-1, Infinity]^2)/224 + (4395*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1137*S[-1, Infinity]^3)/128 - 
     (24853*S[-1, Infinity]*S[2, Infinity])/896 - (17063*S[3, Infinity])/896)*
    S[5, Infinity] + (49495*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((5107*S[-1, Infinity]^4)/6720 - 
     (317*S[-1, 1, 1, 1, Infinity])/140) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((477*S[-1, Infinity]^5)/1120 - 
     (211*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (12713*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (367*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(121*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/180 + 
     (7*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (41*S[2, Infinity]^3)/420 + 
     ((7*S[-1, Infinity]^3)/48 + (11*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (9*S[3, Infinity]^2)/128 - 
     (39*S[-1, Infinity]*S[5, Infinity])/32 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (549*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(S[-1, Infinity]^7/120 - 
     (149*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (641*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1593*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((2109*S[-1, Infinity]^2)/128 + (20275*S[2, Infinity])/896)*
      S[5, Infinity] - (340889*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/24 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 + (4951*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/4) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/120 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-125*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (230*S[-5, 1, 1, Infinity] - 211*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-194480*S[-7, -1, Infinity] - 31867*S[5, 3, Infinity] - 
     16000*S[-5, -1, -1, -1, Infinity] - 32160*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 8960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, 1, -3, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/3360 + (899*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (941029*S[2, Infinity]^4)/235200 + 
   ((883*S[-1, Infinity]^2)/896 + (591*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-13*S[-1, Infinity]^3)/32 - 
     (801*S[-1, Infinity]*S[2, Infinity])/224 - (22317*S[3, Infinity])/3584)*
    S[5, Infinity] + (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((69*S[-1, Infinity]^4)/560 + 
     (229*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/840 + (113*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (53*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (59*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/360 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-50*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/120 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/2 + (673*S[2, Infinity]^3)/840 + 
     (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (179*S[3, Infinity]^2)/128 - (39*S[-1, Infinity]*S[5, Infinity])/32 - 
     2*S[-5, -1, Infinity] + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + (3*S[-1, 1, 1, 1, Infinity])/
        2) - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((4*S[-1, Infinity]^7)/315 - (11*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (167*S[-1, Infinity]*S[2, Infinity]^3)/70 - 
     (235*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     (8*S[-1, Infinity]^2 + (237*S[2, Infinity])/224)*S[5, Infinity] + 
     (697*S[7, Infinity])/896 + (47*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((31*S[-1, Infinity]^4)/96 - 
       (59*S[-1, Infinity]^2*S[2, Infinity])/16 - (629*S[2, Infinity]^2)/
        140 - (31*S[-1, 1, 1, 1, Infinity])/4) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (47*S[-5, 1, 1, Infinity] - 
       2*S[5, -1, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-173888*S[-7, -1, Infinity] - 17749*S[5, 3, Infinity] - 
     2816*S[-5, -1, -1, -1, Infinity] - 33024*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, 1, -1, 1, 3, -1, Infinity] -> 
  (-61*S[-1, Infinity]^8)/5040 + (8*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (4054201*S[2, Infinity]^4)/2352000 + 
   ((-3205*S[-1, Infinity]^2)/1792 - (281*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((185*S[-1, Infinity]^3)/384 + 
     (2025*S[-1, Infinity]*S[2, Infinity])/224 + (21747*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((-757*S[-1, Infinity]^4)/1120 + 
     (59*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((481*S[-1, Infinity]^5)/6720 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2407*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (107*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/180 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (3*(61*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   S[1, Infinity]^2*((-13*S[-1, Infinity]^6)/720 + 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (251*S[2, Infinity]^3)/
      420 + ((7*S[-1, Infinity]^3)/48 - (11*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (211*S[3, Infinity]^2)/256 - 
     (125*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((5*S[-1, Infinity]^4)/48 + S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     2*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((73*S[-1, Infinity]^7)/2520 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (229*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (115*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-85*S[-1, Infinity]^2)/32 - (5573*S[2, Infinity])/896)*
      S[5, Infinity] + (23367*S[7, Infinity])/7168 - 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-19*S[-1, Infinity]^4)/96 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (1809*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/2) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-4*S[-1, Infinity]^5)/15 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) + 
     (-23*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (354880*S[-7, -1, Infinity] + 99481*S[5, 3, Infinity] + 
     87040*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, 1, 3, 1, Infinity] -> (-67*S[-1, Infinity]^8)/6720 - 
   (737*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2579237*S[2, Infinity]^4)/2352000 + 
   ((669*S[-1, Infinity]^2)/256 - (2837*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3349*S[-1, Infinity]^3)/384 - 
     (217*S[-1, Infinity]*S[2, Infinity])/16 + (33561*S[3, Infinity])/3584)*
    S[5, Infinity] + (294071*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/224 - 
     (277*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (64800*S[-7, -1, Infinity] + 11141*S[5, 3, Infinity] + 
     5280*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/448 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (303*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (275*S[-1, 1, 1, 1, 1, Infinity])/56) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/80 - (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - 
     (43*S[2, Infinity]^3)/240 - (67*S[3, Infinity]^2)/256 - 
     (125*S[-1, Infinity]*S[5, Infinity])/128 + (3*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/16 - S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      20*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-179*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/252 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
     (43*S[-1, Infinity]*S[2, Infinity]^3)/70 - 
     (75*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((419*S[-1, Infinity]^2)/64 + (1875*S[2, Infinity])/128)*
      S[5, Infinity] - (2417*S[7, Infinity])/64 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (583*S[2, Infinity]^2)/320 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/60 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]*
      (3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (5*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] - 
       32*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(93*S[-5, 1, 1, Infinity] - 173*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, 1, 1, -1, -3, -1, Infinity] -> (137*S[-1, Infinity]^8)/40320 - 
   (1063*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1113263*S[2, Infinity]^4)/1176000 + 
   ((815*S[-1, Infinity]^2)/448 - (977*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/384 + 
     (5353*S[-1, Infinity]*S[2, Infinity])/896 - (485*S[3, Infinity])/112)*
    S[5, Infinity] + (7207*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/168 + 
     (155*S[-1, 1, 1, 1, Infinity])/56) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/72 - (S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/15 + (5*S[5, Infinity])/64 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1721*S[-1, Infinity]^5)/10080 + 
     (415*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (19633*S[-1, Infinity]*S[2, Infinity]^2)/3360 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     (177*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-9*S[-1, Infinity]^6)/160 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-121*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/40 + 
     (7*S[-1, Infinity]^4*S[2, Infinity])/48 - 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (31*S[2, Infinity]^3)/336 + 
     (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (173*S[3, Infinity]^2)/128 + (155*S[-1, Infinity]*S[5, Infinity])/64 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (31*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/630 + 
     (35*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (477*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (303*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-713*S[-1, Infinity]^2)/128 - (7871*S[2, Infinity])/896)*
      S[5, Infinity] + (86579*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (1297*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-59*S[-1, Infinity]^5)/240 + 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(139*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-6*S[-5, 1, 1, Infinity] + 85*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(64*S[-5, 1, 1, Infinity] + 71*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (112480*S[-7, -1, Infinity] + 4279*S[5, 3, Infinity] - 
     5760*S[-5, -1, -1, -1, Infinity] + 15840*S[-5, -1, 1, 1, Infinity] + 
     20160*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, 1, -1, -3, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/6720 - (145*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (508327*S[2, Infinity]^4)/168000 + 
   ((-139*S[-1, Infinity]^2)/384 - (35*S[2, Infinity])/48)*S[3, Infinity]^2 + 
   ((3*S[-1, Infinity]*S[2, Infinity])/2 + (7397*S[3, Infinity])/1536)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/40 - 
     (23*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((4*S[-1, Infinity]^5)/45 + 
     (35*S[-1, Infinity]^3*S[2, Infinity])/144 + 
     (1111*S[-1, Infinity]*S[2, Infinity]^2)/960 - 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, 1, 1, 1, 1, Infinity]/3) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/90 - (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/12 + 
     ((-7*S[-1, Infinity]^2)/48 - (7*S[2, Infinity])/48)*S[3, Infinity] + 
     (85*S[5, Infinity])/96 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, 1, 1, 1, 1, Infinity]/3) + S[1, Infinity]^2*
    ((-7*S[-1, Infinity]^6)/360 + (5*S[-1, Infinity]^4*S[2, Infinity])/48 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (5*S[2, Infinity]^3)/12 + 
     ((7*S[-1, Infinity]^3)/24 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (81*S[3, Infinity]^2)/128 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-5*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((17*S[-1, Infinity]^7)/1260 - (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (771*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-93*S[-1, Infinity]^2)/32 + (35*S[2, Infinity])/32)*S[5, Infinity] + 
     (6699*S[7, Infinity])/512 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/2 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-15*S[-1, Infinity]^4)/32 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (11*S[2, Infinity]^2)/8 + 
       6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/24 - 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, 
        Infinity]) + (-5*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (52160*S[-7, -1, Infinity] + 6651*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, 1, 1, -1, 3, -1, Infinity] -> (7*S[-1, Infinity]^8)/1920 + 
   (933*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (30089*S[2, Infinity]^4)/235200 + ((-1299*S[-1, Infinity]^2)/1792 - 
     (153*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 + (2525*S[-1, Infinity]*S[2, Infinity])/448 + 
     (799*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((1963*S[-1, Infinity]^4)/6720 - 
     (241*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/48 + 
     (23*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (1139*S[2, Infinity]^3)/
      3360 - (39*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (55*S[3, Infinity]^2)/256 - (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/48 - S[-1, 1, 1, 1, Infinity]/
        2) - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-5472*S[-7, -1, Infinity] - 615*S[5, 3, Infinity] + 
     256*S[-5, -1, -1, -1, Infinity] - 1376*S[-5, -1, 1, 1, Infinity] - 
     672*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((199*S[-1, Infinity]^5)/20160 - 
     (199*S[-1, Infinity]^3*S[2, Infinity])/2016 - 
     (4237*S[-1, Infinity]*S[2, Infinity]^2)/1680 - 
     (199*S[-1, 1, 1, 1, 1, Infinity])/168) + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/180 + 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/240 + (9*S[5, Infinity])/16 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (165*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/840 - 
     (301*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (57*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-31*S[-1, Infinity]^2)/64 + (2923*S[2, Infinity])/448)*
      S[5, Infinity] - (29327*S[7, Infinity])/3584 + 
     (4*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/192 - 
       (S[-1, Infinity]^2*S[2, Infinity])/32 + (597*S[2, Infinity]^2)/448 - 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/80 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) + (8*S[-5, 1, 1, Infinity] - 
       41*S[5, -1, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, 1, 1, -1, 3, 1, Infinity] -> (53*S[-1, Infinity]^8)/10080 + 
   (207*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (46127*S[2, Infinity]^4)/588000 + ((4951*S[-1, Infinity]^2)/5376 + 
     (647*S[2, Infinity])/336)*S[3, Infinity]^2 + 
   ((1333*S[-1, Infinity]^3)/384 + (941*S[-1, Infinity]*S[2, Infinity])/896 - 
     (111805*S[3, Infinity])/10752)*S[5, Infinity] + 
   (4365*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((1207*S[-1, Infinity]^4)/6720 + 
     (641*S[-1, 1, 1, 1, Infinity])/280) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/360 - (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/60 + 
     ((-7*S[-1, Infinity]^2)/48 + (7*S[2, Infinity])/48)*S[3, Infinity] - 
     (311*S[5, Infinity])/384 - S[-1, 1, 1, 1, 1, Infinity]/3) + 
   S[3, Infinity]*((-1943*S[-1, Infinity]^5)/20160 + 
     (2153*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (2267*S[-1, Infinity]*S[2, Infinity]^2)/6720 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/168) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/144 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (29*S[-5, -1, Infinity] - 
       21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/720 + 
     (2*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (893*S[2, Infinity]^3)/3360 + 
     ((7*S[-1, Infinity]^3)/24 - (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (223*S[3, Infinity]^2)/256 + 
     (527*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (5*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/2520 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (157*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (201*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-527*S[-1, Infinity]^2)/128 + (3193*S[2, Infinity])/896)*
      S[5, Infinity] - (89209*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-25*S[-1, Infinity]^4)/192 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/32 + (143*S[2, Infinity]^2)/
        2240 - (17*S[-1, 1, 1, 1, Infinity])/8) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(61*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (93*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity] - 
      40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-55360*S[-7, -1, Infinity] - 34953*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, 1, -3, -1, Infinity] -> 
  S[-1, Infinity]^8/126 + (S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (17111*S[2, Infinity]^4)/42000 + ((29*S[-1, Infinity]^2)/48 + 
     (61*S[2, Infinity])/384)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 + (65*S[-1, Infinity]*S[2, Infinity])/64 + 
     (135*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/480 - 
     (3*S[-1, 1, 1, 1, Infinity])/20) + S[1, Infinity]^4*
    (-S[-1, Infinity]^4/288 + (S[-1, Infinity]^2*S[2, Infinity])/48 + 
     S[2, Infinity]^2/40 + S[-1, 1, 1, 1, Infinity]/12) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/360 + 
     (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     ((7*S[-1, Infinity]^2)/48 + (7*S[2, Infinity])/48)*S[3, Infinity] + 
     (5*S[5, Infinity])/64 + S[-1, 1, 1, 1, 1, Infinity]/3) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/288 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (67*S[-1, Infinity]*S[2, Infinity]^2)/48 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/12) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 - (5*S[-5, -1, Infinity])/4 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + S[1, Infinity]^2*
    ((7*S[-1, Infinity]^6)/360 - (5*S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (509*S[2, Infinity]^3)/1680 + ((-7*S[-1, Infinity]^3)/24 + 
       (5*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] - 
     (41*S[3, Infinity]^2)/128 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 + (S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/252 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (46*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((31*S[-1, Infinity]^2)/32 + (235*S[2, Infinity])/64)*S[5, Infinity] - 
     (1919*S[7, Infinity])/256 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((17*S[-1, Infinity]^4)/144 + 
       (71*S[-1, Infinity]^2*S[2, Infinity])/48 + (159*S[2, Infinity]^2)/80 + 
       (29*S[-1, 1, 1, 1, Infinity])/12) + S[2, Infinity]*
      (S[-1, Infinity]^5/20 + S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (30*S[-7, -1, Infinity] + 3*S[5, 3, Infinity] + 
     5*S[-5, -1, 1, 1, Infinity] + 10*S[-1, 1, 1, 1, Infinity]^2 + 
     20*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/10, 
 S[1, 1, 1, 1, -3, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (15181*S[2, Infinity]^4)/
    10500 + ((85*S[-1, Infinity]^2)/48 - (307*S[2, Infinity])/384)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 + 
     (123*S[-1, Infinity]*S[2, Infinity])/64 - (105*S[3, Infinity])/256)*
    S[5, Infinity] + (887*S[-1, Infinity]*S[7, Infinity])/256 + 
   (S[1, Infinity]^4*(S[-1, Infinity]^4/72 - 
      (S[-1, Infinity]^2*S[2, Infinity])/12 - (11*S[2, Infinity]^2)/60 - 
      (7*S[-1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/3))/
    4 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/32 + 
     (3*S[-1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/45 + 
     (S[-1, Infinity]^3*S[2, Infinity])/9 + 
     ((7*S[-1, Infinity]^2)/24 - (7*S[2, Infinity])/48)*S[3, Infinity] - 
     (13*S[5, Infinity])/32 + (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 - (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   S[3, Infinity]*((-149*S[-1, Infinity]^5)/720 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/144 + 
     (179*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/12) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/24 - 
     (3*S[-1, Infinity]^4*S[2, Infinity])/16 - (227*S[2, Infinity]^3)/336 - 
     (7*S[-1, Infinity]^3*S[3, Infinity])/16 - (9*S[3, Infinity]^2)/128 + 
     (93*S[-1, Infinity]*S[5, Infinity])/64 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      20*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      20*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/63 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (13*S[-1, Infinity]*S[3, Infinity]^2)/12 + 
     (81*S[2, Infinity]*S[5, Infinity])/64 - (1403*S[7, Infinity])/128 - 
     S[5, -1, -1, Infinity] + S[3, Infinity]*((95*S[-1, Infinity]^4)/288 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/24 - (139*S[2, Infinity]^2)/240 - 
       (11*S[-1, 1, 1, 1, Infinity])/12) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/10 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     S[-1, Infinity]*(S[-5, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (40*S[-7, -1, Infinity] + 3*S[5, 3, Infinity] + 
     5*S[-5, -1, 1, 1, Infinity] + 10*S[-1, 1, 1, 1, Infinity]^2 - 
     100*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/10, 
 S[1, 1, 1, 1, 3, -1, Infinity] -> -S[-1, Infinity]^8/1008 - 
   (123*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2293577*S[2, Infinity]^4)/2352000 + 
   ((-811*S[-1, Infinity]^2)/672 - (85*S[2, Infinity])/224)*
    S[3, Infinity]^2 + S[1, Infinity]^4*(S[2, Infinity]^2/192 + 
     (7*S[-1, Infinity]*S[3, Infinity])/96) + 
   ((31*S[-1, Infinity]^3)/64 - (323*S[-1, Infinity]*S[2, Infinity])/448 - 
     (40183*S[3, Infinity])/10752)*S[5, Infinity] + 
   (23081*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((33*S[-1, Infinity]^4)/1120 + 
     (41*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((449*S[-1, Infinity]^5)/10080 - (155*S[-1, Infinity]^3*S[2, Infinity])/
      1008 - (1663*S[-1, Infinity]*S[2, Infinity]^2)/840 - 
     (151*S[-1, 1, 1, 1, 1, Infinity])/42) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/360 - (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/120 - 
     (7*S[-1, Infinity]^2*S[3, Infinity])/48 - (125*S[5, Infinity])/384 - 
     S[-1, 1, 1, 1, 1, Infinity]/3) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/180 + 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - (1271*S[2, Infinity]^3)/3360 + 
     ((7*S[-1, Infinity]^3)/48 - (5*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (7*S[3, Infinity]^2)/64 + 
     (93*S[-1, Infinity]*S[5, Infinity])/128 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (S[-5, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(12*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (71*S[-1, Infinity]*S[2, Infinity]^3)/70 + 
     ((-7*S[-1, Infinity]^4)/96 - (7*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (289*S[2, Infinity]^2)/1680)*S[3, Infinity] + 
     (677*S[-1, Infinity]*S[3, Infinity]^2)/672 + 
     ((-31*S[-1, Infinity]^2)/32 + (499*S[2, Infinity])/448)*S[5, Infinity] - 
     (37417*S[7, Infinity])/3584 + S[2, Infinity]*(-S[-1, Infinity]^5/60 - 
       S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(17*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-60800*S[-7, -1, Infinity] + 43*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, 1, 3, 1, Infinity] -> (S[1, Infinity]^4*S[2, Infinity]^2)/48 + 
   (44117*S[2, Infinity]^4)/42000 - (S[2, Infinity]*S[3, Infinity]^2)/2 + 
   S[1, Infinity]^2*((53*S[2, Infinity]^3)/168 - S[3, Infinity]^2/2) - 
   (S[1, Infinity]^3*S[5, Infinity])/12 - (25*S[3, Infinity]*S[5, Infinity])/
    6 + S[1, Infinity]*((41*S[2, Infinity]^2*S[3, Infinity])/30 - 
     (S[2, Infinity]*S[5, Infinity])/4 - 4*S[7, Infinity]) - 
   (2*S[5, 3, Infinity])/5, S[1, -1, -1, -1, -2, -2, Infinity] -> 
  (23*S[-1, Infinity]^8)/2016 - (35*S[-1, Infinity]^2*S[2, Infinity]^3)/48 + 
   (9038347*S[2, Infinity]^4)/784000 + 
   ((-13613*S[-1, Infinity]^2)/1792 + (15867*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((115*S[-1, Infinity]^3)/384 - 
     (19717*S[-1, Infinity]*S[2, Infinity])/896 - (339861*S[3, Infinity])/
      7168)*S[5, Infinity] + (32243*S[-1, Infinity]*S[7, Infinity])/448 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-1039*S[-1, Infinity]^4)/6720 + 
     (747*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((2603*S[-1, Infinity]^5)/6720 - 
     (2687*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (91359*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (1903*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(533*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2827*S[-5, -1, Infinity] + 
       252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/1260 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (583*S[-1, Infinity]*S[2, Infinity]^3)/420 - 
     (391*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((785*S[-1, Infinity]^2)/64 + (23739*S[2, Infinity])/896)*
      S[5, Infinity] - (5223*S[7, Infinity])/56 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 + (1423*S[2, Infinity]^2)/
        224 + 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-19*S[-1, Infinity]^5)/240 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (13*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (2*(25*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-115*S[-5, 1, 1, Infinity] - 
      206*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-3771200*S[-7, -1, Infinity] - 567143*S[5, 3, Infinity] - 
     65280*S[-5, -1, -1, -1, Infinity] - 723200*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, -1, -2, 2, Infinity] -> 
  (29*S[-1, Infinity]^8)/3360 - (1843*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (3546859*S[2, Infinity]^4)/784000 + 
   ((915*S[-1, Infinity]^2)/448 + (3501*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((331*S[-1, Infinity]^3)/96 - 
     (5555*S[-1, Infinity]*S[2, Infinity])/448 - (71543*S[3, Infinity])/3584)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-557*S[-1, Infinity]^4)/3360 + 
     (753*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/336 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (2617*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (361*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/720 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (2207*S[-5, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (4*S[-1, Infinity]^2*(13*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/90 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (713*S[-1, Infinity]*S[2, Infinity]^3)/840 - 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     ((1167*S[-1, Infinity]^2)/128 + (915*S[2, Infinity])/128)*
      S[5, Infinity] - (1363*S[7, Infinity])/64 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/24 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/8 - (581*S[2, Infinity]^2)/160 - 
       (15*S[-1, 1, 1, 1, Infinity])/2) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/8 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-9*S[-5, -1, Infinity] - 
        64*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (45*S[-5, 1, 1, Infinity] - 14*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-1568960*S[-7, -1, Infinity] - 215793*S[5, 3, Infinity] - 
     104960*S[-5, -1, -1, -1, Infinity] - 248960*S[-5, -1, 1, 1, Infinity] + 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, -1, -1, 2, -2, Infinity] -> (-29*S[-1, Infinity]^8)/3360 + 
   (11491*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (321053*S[2, Infinity]^4)/156800 + 
   ((-7857*S[-1, Infinity]^2)/1792 - (32405*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-227*S[-1, Infinity]^3)/96 + 
     (11075*S[-1, Infinity]*S[2, Infinity])/224 + (266171*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((139*S[-1, Infinity]^4)/2240 - 
     (153*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1637*S[-1, Infinity]^5)/6720 + 
     (575*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (73797*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1387*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-733*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1523*S[-5, -1, Infinity] + 
       616*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(S[-1, Infinity]^7/90 + 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (4*S[-1, Infinity]*S[2, Infinity]^3)/15 + 
     (1097*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-115*S[-1, Infinity]^2)/8 - (403*S[2, Infinity])/14)*S[5, Infinity] + 
     (241257*S[7, Infinity])/3584 - (2*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[3, Infinity]*
      ((-11*S[-1, Infinity]^4)/24 + (9*S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (129*S[2, Infinity]^2)/560 + (15*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/10 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(9*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-144*S[-5, 1, 1, Infinity] + 115*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1093312*S[-7, -1, Infinity] + 189929*S[5, 3, Infinity] + 
     123136*S[-5, -1, -1, -1, Infinity] + 102656*S[-5, -1, 1, 1, Infinity] - 
     315392*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, -1, -1, -1, 2, 2, Infinity] -> (-23*S[-1, Infinity]^8)/2016 + 
   (4301*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (1018351*S[2, Infinity]^4)/156800 + 
   ((3781*S[-1, Infinity]^2)/896 - (3901*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-547*S[-1, Infinity]^3)/192 + 
     (35177*S[-1, Infinity]*S[2, Infinity])/896 + (130527*S[3, Infinity])/
      3584)*S[5, Infinity] - (56839*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((531*S[-1, Infinity]^4)/2240 - 
     (351*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-653*S[-1, Infinity]^5)/1680 + 
     (295*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (46409*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (239*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-1327*S[-5, -1, Infinity] - 
       308*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-381*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/1260 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (223*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     (559*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-889*S[-1, Infinity]^2)/64 - (11243*S[2, Infinity])/448)*
      S[5, Infinity] + (18631*S[7, Infinity])/224 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 - (4861*S[2, Infinity]^2)/
        1120 - 3*S[-1, 1, 1, 1, Infinity]) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-13*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (2*(25*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (499840*S[-7, -1, Infinity] + 79225*S[5, 3, Infinity] + 
     42752*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, -1, 1, -2, -2, Infinity] -> 
  (467*S[-1, Infinity]^8)/40320 + (829*S[-1, Infinity]^2*S[2, Infinity]^3)/
    210 + (1128283*S[2, Infinity]^4)/784000 + 
   ((-2347*S[-1, Infinity]^2)/1792 - (28293*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-103*S[-1, Infinity]^3)/96 + 
     (775*S[-1, Infinity]*S[2, Infinity])/14 + (155227*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/1120 - 
     (481*S[-1, 1, 1, 1, Infinity])/280) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-421*S[-1, Infinity]^5)/2240 + 
     (1403*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (84317*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (1263*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(219*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(229*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/210 + 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (79*S[-1, Infinity]*S[2, Infinity]^3)/240 + 
     (851*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-115*S[-1, Infinity]^2)/8 - (13989*S[2, Infinity])/448)*
      S[5, Infinity] + (246235*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/64 + 
       (29*S[-1, Infinity]^2*S[2, Infinity])/32 - (389*S[2, Infinity]^2)/
        280 + (39*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (3*(37*S[-5, 1, 1, Infinity] - 40*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (5123520*S[-7, -1, Infinity] + 785713*S[5, 3, Infinity] + 
     628480*S[-5, -1, -1, -1, Infinity] + 428800*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/1344 - (367*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (2835503*S[2, Infinity]^4)/392000 + 
   ((-1005*S[-1, Infinity]^2)/224 - (29399*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-299*S[-1, Infinity]^3)/192 + 
     (16831*S[-1, Infinity]*S[2, Infinity])/896 + (62815*S[3, Infinity])/
      1792)*S[5, Infinity] + (61345*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-233*S[-1, Infinity]^4)/6720 - 
     (647*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/1120 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (21219*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (85*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1837*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2383*S[-5, -1, Infinity] - 588*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-37*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/180 + 
     (71*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (643*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     (559*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-889*S[-1, Infinity]^2)/64 - (5583*S[2, Infinity])/896)*
      S[5, Infinity] + (123545*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (73*S[-1, Infinity]^2*S[2, Infinity])/32 + (2501*S[2, Infinity]^2)/
        2240 + 5*S[-1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/20 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (11*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(37*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (2*(43*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
        98*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] - 68*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2327680*S[-7, -1, Infinity] + 390557*S[5, 3, Infinity] + 
     220160*S[-5, -1, -1, -1, Infinity] + 290560*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, -1, 1, 2, -2, Infinity] -> 
  (5*S[-1, Infinity]^8)/448 + (4909*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (872911*S[2, Infinity]^4)/156800 + 
   ((26865*S[-1, Infinity]^2)/1792 + (15571*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1063*S[-1, Infinity]^3)/384 + 
     (817*S[-1, Infinity]*S[2, Infinity])/224 - (5811*S[3, Infinity])/7168)*
    S[5, Infinity] - (221297*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((3697*S[-1, Infinity]^4)/6720 + 
     (1097*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((-1921*S[-1, Infinity]^5)/2240 + 
     (1501*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (37521*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (211*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (419*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (3*S[-1, Infinity]^2*(-59*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-301*S[-1, Infinity]^6)/1440 + 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (755*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(S[-1, Infinity]^7/180 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (2699*S[-1, Infinity]*S[2, Infinity]^3)/840 - 
     (2869*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((785*S[-1, Infinity]^2)/64 + (1149*S[2, Infinity])/896)*
      S[5, Infinity] - (36129*S[7, Infinity])/1792 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/16 - 
       (139*S[-1, Infinity]^2*S[2, Infinity])/32 - (2203*S[2, Infinity]^2)/
        448 - 11*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/80 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (12*S[-1, Infinity]*(-5*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (359*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] - 
       784*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(347*S[-5, 1, 1, Infinity] + 256*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-666688*S[-7, -1, Infinity] - 83591*S[5, 3, Infinity] - 
     56576*S[-5, -1, -1, -1, Infinity] - 67072*S[-5, -1, 1, 1, Infinity] + 
     64512*S[-1, 1, 1, 1, Infinity]^2 + 258048*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, -1, 1, 2, 2, Infinity] -> 
  (163*S[-1, Infinity]^8)/40320 - (1091*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (67717*S[2, Infinity]^4)/78400 + 
   ((1433*S[-1, Infinity]^2)/896 + (11425*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((73*S[-1, Infinity]^3)/192 - 
     (31553*S[-1, Infinity]*S[2, Infinity])/896 - (7157*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/840 + 
     (23*S[-1, 1, 1, 1, Infinity])/140) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/560 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (11801*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (403*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]^2*(151*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/210 + 
     (8*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (359*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((1167*S[-1, Infinity]^2)/128 + (24639*S[2, Infinity])/896)*
      S[5, Infinity] - (293555*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/64 + 
       (85*S[-1, Infinity]^2*S[2, Infinity])/32 + (13717*S[2, Infinity]^2)/
        2240 + (39*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/120 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(107*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-270016*S[-7, -1, Infinity] - 54277*S[5, 3, Infinity] - 
     42752*S[-5, -1, -1, -1, Infinity] - 11008*S[-5, -1, 1, 1, Infinity] + 
     16128*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, 1, -1, -2, -2, Infinity] -> 
  -S[-1, Infinity]^8/5040 - (313*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - 
   (168163*S[2, Infinity]^4)/39200 + ((-1241*S[-1, Infinity]^2)/1792 - 
     (4245*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((259*S[-1, Infinity]^3)/192 - (5175*S[-1, Infinity]*S[2, Infinity])/896 + 
     (17487*S[3, Infinity])/3584)*S[5, Infinity] - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/6720 - 
     (29*S[-1, 1, 1, 1, Infinity])/7) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/6720 + 
     (199*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5853*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (59*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 - (649*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-4*S[-1, Infinity]^7)/315 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (4127*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (221*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-331*S[-1, Infinity]^2)/64 + (803*S[2, Infinity])/224)*
      S[5, Infinity] + (1551*S[7, Infinity])/56 - 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 - 
       (29*S[-1, Infinity]^2*S[2, Infinity])/16 - (8249*S[2, Infinity]^2)/
        2240 - 6*S[-1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/40 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 13*S[-1, 1, 1, 1, 1, Infinity]) + 
     (19*S[-5, 1, 1, Infinity] + 110*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5644*S[-7, -1, Infinity] + 981*S[5, 3, Infinity] + 
     312*S[-5, -1, -1, -1, Infinity] + 976*S[-5, -1, 1, 1, Infinity] - 
     672*S[-1, 1, 1, 1, Infinity]^2 - 2240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/112, S[1, -1, 1, -1, -2, 2, Infinity] -> 
  S[-1, Infinity]^8/252 - (487*S[-1, Infinity]^2*S[2, Infinity]^3)/420 - 
   (93559*S[2, Infinity]^4)/78400 + ((-307*S[-1, Infinity]^2)/56 - 
     (12711*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((83*S[-1, Infinity]^3)/96 + (10007*S[-1, Infinity]*S[2, Infinity])/896 + 
     (63457*S[3, Infinity])/7168)*S[5, Infinity] + 
   (122053*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/6720 - 
     (123*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((559*S[-1, Infinity]^5)/2240 - 
     (767*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (8767*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (479*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - (341*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-89*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1260 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (4741*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     (533*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-75*S[-1, Infinity]^2)/16 - (9*S[2, Infinity])/4)*S[5, Infinity] + 
     (10925*S[7, Infinity])/1024 - 4*S[-1, Infinity]*S[-5, -1, Infinity] + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/32 + (453*S[2, Infinity]^2)/
        320 + (9*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 - (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-10*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
       48*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (349120*S[-7, -1, Infinity] + 59151*S[5, 3, Infinity] + 
     50432*S[-5, -1, -1, -1, Infinity] + 24832*S[-5, -1, 1, 1, Infinity] - 
     28672*S[-1, 1, 1, 1, Infinity]^2 - 114688*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, 1, -1, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/252 + (7927*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (963643*S[2, Infinity]^4)/392000 + 
   ((19307*S[-1, Infinity]^2)/1792 + (9217*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-747*S[-1, Infinity]^3)/128 - 
     (7041*S[-1, Infinity]*S[2, Infinity])/896 + (126031*S[3, Infinity])/
      7168)*S[5, Infinity] - (312925*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (241*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((123*S[-1, Infinity]^4)/448 + 
     (99*S[-1, 1, 1, 1, Infinity])/28) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-12*S[-1, Infinity]^5)/35 + 
     (823*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (16673*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (83*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/1260 - 
     (S[-1, Infinity]^5*S[2, Infinity])/20 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (2449*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (2971*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((537*S[-1, Infinity]^2)/64 + (681*S[2, Infinity])/896)*S[5, Infinity] - 
     (29037*S[7, Infinity])/3584 + (79*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (31*S[-1, Infinity]^2*S[2, Infinity])/32 - (5867*S[2, Infinity]^2)/
        2240 - (9*S[-1, 1, 1, 1, Infinity])/2) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (44*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(188*S[-5, 1, 1, Infinity] + 97*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1446080*S[-7, -1, Infinity] - 208771*S[5, 3, Infinity] - 
     262400*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, -1, 2, 2, Infinity] -> 
  S[-1, Infinity]^8/5040 + (3137*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (131349*S[2, Infinity]^4)/98000 + ((1627*S[-1, Infinity]^2)/896 + 
     (365*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-43*S[-1, Infinity]^3)/16 - (1289*S[-1, Infinity]*S[2, Infinity])/112 + 
     (4671*S[3, Infinity])/1792)*S[5, Infinity] + 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-321*S[-1, Infinity]^4)/1120 + 
     (319*S[-1, 1, 1, 1, Infinity])/140) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/210 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (6177*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (68*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (65*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((4*S[-1, Infinity]^7)/315 + 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (4307*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     (985*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((671*S[-1, Infinity]^2)/128 + (8791*S[2, Infinity])/896)*
      S[5, Infinity] - (370999*S[7, Infinity])/7168 - 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/4 + 
       (47*S[-1, Infinity]^2*S[2, Infinity])/16 + (13059*S[2, Infinity]^2)/
        2240 + 6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/5 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       10*S[-1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-100*S[-5, 1, 1, Infinity] - 
       135*S[5, -1, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-278240*S[-7, -1, Infinity] - 59537*S[5, 3, Infinity] - 
     43520*S[-5, -1, -1, -1, Infinity] + 5440*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 1, 1, -2, -2, Infinity] -> 
  (-5*S[-1, Infinity]^8)/1344 - (2281*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (40939*S[2, Infinity]^4)/11200 + 
   ((-6625*S[-1, Infinity]^2)/1792 + (1077*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-1373*S[-1, Infinity]^3)/384 - 
     (19435*S[-1, Infinity]*S[2, Infinity])/896 - (2587*S[3, Infinity])/128)*
    S[5, Infinity] + (323949*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((107*S[-1, Infinity]^4)/960 - 
     (13*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((191*S[-1, Infinity]^5)/480 - 
     (77*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (5767*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (137*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(113*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/288 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (43*S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/420 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (547*S[-1, Infinity]*S[2, Infinity]^3)/672 - 
     (2557*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((537*S[-1, Infinity]^2)/64 + (803*S[2, Infinity])/56)*S[5, Infinity] - 
     (313141*S[7, Infinity])/7168 + S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (2927*S[2, Infinity]^2)/
        1120 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]*(-55*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (83*S[-5, 1, 1, Infinity] - 141*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-78*S[-5, 1, 1, Infinity] - 169*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-12736*S[-7, -1, Infinity] - 1819*S[5, 3, Infinity] - 
     384*S[-5, -1, -1, -1, Infinity] - 2176*S[-5, -1, 1, 1, Infinity] - 
     768*S[-1, 1, 1, 1, Infinity]^2 + 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[1, -1, 1, 1, -2, 2, Infinity] -> 
  (-17*S[-1, Infinity]^8)/40320 + (689*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 + (2653887*S[2, Infinity]^4)/784000 + 
   ((1065*S[-1, Infinity]^2)/896 + (2827*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-41*S[-1, Infinity]^3)/96 + 
     (2451*S[-1, Infinity]*S[2, Infinity])/448 - (68427*S[3, Infinity])/7168)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/112 + 
     (321*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-137*S[-1, Infinity]^5)/840 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3299*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (101*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1249*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/315 - 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (773*S[-1, Infinity]*S[2, Infinity]^3)/336 - 
     (811*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((671*S[-1, Infinity]^2)/128 - (671*S[2, Infinity])/128)*
      S[5, Infinity] + (193*S[7, Infinity])/128 + 
     S[3, Infinity]*((73*S[-1, Infinity]^4)/192 - 
       (97*S[-1, Infinity]^2*S[2, Infinity])/32 - (1059*S[2, Infinity]^2)/
        320 - (45*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/10 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-19*S[-5, -1, Infinity] - 
        16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (23*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] - 
       48*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-1449920*S[-7, -1, Infinity] - 111963*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] - 312320*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, 2, -2, Infinity] -> 
  (-193*S[-1, Infinity]^8)/40320 - (2797*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (109029*S[2, Infinity]^4)/24500 + 
   ((-3141*S[-1, Infinity]^2)/1792 - (5937*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((11*S[-1, Infinity]^3)/6 - 
     (2253*S[-1, Infinity]*S[2, Infinity])/448 + (108561*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-661*S[-1, Infinity]^4)/1680 - (919*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((379*S[-1, Infinity]^5)/2240 - 
     (941*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1097*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (767*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(559*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(67*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/315 + 
     (113*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (11383*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     (1251*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-331*S[-1, Infinity]^2)/64 + (2869*S[2, Infinity])/448)*
      S[5, Infinity] + (60895*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-47*S[-1, Infinity]^4)/192 + 
       (79*S[-1, Infinity]^2*S[2, Infinity])/32 + (129*S[2, Infinity]^2)/56 + 
       (19*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/120 - S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(43*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-109*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2008640*S[-7, -1, Infinity] + 101817*S[5, 3, Infinity] - 
     90880*S[-5, -1, -1, -1, Infinity] + 476160*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, 2, 2, Infinity] -> 
  S[-1, Infinity]^8/4032 + (509*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (2023219*S[2, Infinity]^4)/784000 + 
   ((1591*S[-1, Infinity]^2)/448 - (23*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((259*S[-1, Infinity]^3)/192 + (4561*S[-1, Infinity]*S[2, Infinity])/448 + 
     (43455*S[3, Infinity])/3584)*S[5, Infinity] - 
   (83873*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/6720 - 
     (169*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-257*S[-1, Infinity]^5)/1344 + 
     (1411*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (555*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (130*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1229*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-171*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/420 + 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (253*S[-1, Infinity]*S[2, Infinity]^3)/210 + 
     (321*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-75*S[-1, Infinity]^2)/16 - (393*S[2, Infinity])/112)*S[5, Infinity] + 
     (1131*S[7, Infinity])/56 + S[3, Infinity]*(-S[-1, Infinity]^4/24 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (31*S[2, Infinity]^2)/35 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(79*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (2*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(93*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (974080*S[-7, -1, Infinity] + 127863*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 144000*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -1, -2, -2, Infinity] -> 
  (-289*S[-1, Infinity]^8)/13440 - (33*S[-1, Infinity]^2*S[2, Infinity]^3)/
    10 - (2533663*S[2, Infinity]^4)/588000 + 
   ((3753*S[-1, Infinity]^2)/1792 + (22179*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-331*S[-1, Infinity]^3)/192 - 
     (6397*S[-1, Infinity]*S[2, Infinity])/112 - (104679*S[3, Infinity])/
      7168)*S[5, Infinity] + (417*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/672 - 
     (827*S[-1, 1, 1, 1, Infinity])/280) + 
   (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/448 - 
     (1069*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (15781*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (705*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (12*(8*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/60 - 
     (27*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (281*S[2, Infinity]^3)/
      480 - (13*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 + 
     (59*S[3, Infinity]^2)/128 - (331*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*(S[-1, Infinity]^4/12 - S[-1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-19*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((8*S[-1, Infinity]^7)/315 - 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (639*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (565*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((1137*S[-1, Infinity]^2)/64 + (8947*S[2, Infinity])/224)*
      S[5, Infinity] - (526313*S[7, Infinity])/7168 + 
     (113*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((35*S[-1, Infinity]^4)/192 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/32 + (3779*S[2, Infinity]^2)/
        1120 - (35*S[-1, 1, 1, 1, Infinity])/8) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 - 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 11*S[-1, 1, 1, 1, 1, Infinity]) + 
     (113*S[-5, 1, 1, Infinity] - 251*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-3024320*S[-7, -1, Infinity] - 515269*S[5, 3, Infinity] - 
     533760*S[-5, -1, -1, -1, Infinity] - 57600*S[-5, -1, 1, 1, Infinity] - 
     232960*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, -1, -2, 2, Infinity] -> 
  (-143*S[-1, Infinity]^8)/20160 + (1037*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (6802751*S[2, Infinity]^4)/2352000 + 
   ((10417*S[-1, Infinity]^2)/1792 + (27723*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-145*S[-1, Infinity]^3)/192 - 
     (20845*S[-1, Infinity]*S[2, Infinity])/896 - (72101*S[3, Infinity])/
      7168)*S[5, Infinity] - (54889*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((887*S[-1, Infinity]^4)/2240 + 
     (163*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((83*S[-1, Infinity]^5)/3360 + (215*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (19839*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (705*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(123*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/360 + 
     (131*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (4307*S[2, Infinity]^3)/3360 + ((7*S[-1, Infinity]^3)/24 + 
       (27*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] + 
     (73*S[3, Infinity]^2)/32 - (331*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-9*S[-5, -1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/288 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (307*S[-5, -1, Infinity] + 476*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/630 - 
     (121*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/16 + 
     ((-7*S[-1, Infinity]^4)/16 - (41*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (297*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (3527*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1075*S[-1, Infinity]^2)/64 + (4197*S[2, Infinity])/896)*
      S[5, Infinity] - (71045*S[7, Infinity])/3584 - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-109*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (2*(29*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] + 21*S[5, -1, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-2992960*S[-7, -1, Infinity] - 589483*S[5, 3, Infinity] - 
     444160*S[-5, -1, -1, -1, Infinity] - 183040*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, -1, 2, -2, Infinity] -> 
  (181*S[-1, Infinity]^8)/40320 - (953*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (8874923*S[2, Infinity]^4)/1176000 + 
   ((-677*S[-1, Infinity]^2)/128 - (2435*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1291*S[-1, Infinity]^3)/384 - 
     (1219*S[-1, Infinity]*S[2, Infinity])/128 + (3105*S[3, Infinity])/896)*
    S[5, Infinity] + (94755*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2011*S[-1, Infinity]^4)/3360 - 
     (2383*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1709*S[-1, Infinity]^5)/6720 - 
     (803*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (227*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (91*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/48 - 
     (17*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-55*S[-5, -1, Infinity] - 644*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/360 - 
     (27*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (1381*S[2, Infinity]^3)/
      840 + ((-7*S[-1, Infinity]^3)/24 - (15*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] - (49*S[3, Infinity]^2)/32 + 
     (227*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/32 - (5*S[-1, 1, 1, 1, Infinity])/4) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(65*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-176*S[-5, 1, 1, Infinity] - 
      113*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + S[1, Infinity]*((-19*S[-1, Infinity]^7)/630 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (4663*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (2753*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1353*S[-1, Infinity]^2)/128 + (5027*S[2, Infinity])/896)*
      S[5, Infinity] + (24485*S[7, Infinity])/7168 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/64 + 
       (85*S[-1, Infinity]^2*S[2, Infinity])/32 + (237*S[2, Infinity]^2)/
        560 + (27*S[-1, 1, 1, 1, Infinity])/8) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/30 + 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(341*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-250*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (82480*S[-7, -1, Infinity] + 9831*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] - 
     20160*S[-1, 1, 1, 1, Infinity]^2 - 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, -1, 2, 2, Infinity] -> 
  (23*S[-1, Infinity]^8)/1680 + (275*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (2371403*S[2, Infinity]^4)/2352000 + 
   ((-477*S[-1, Infinity]^2)/896 - (1139*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((227*S[-1, Infinity]^3)/192 + 
     (6677*S[-1, Infinity]*S[2, Infinity])/448 - (2203*S[3, Infinity])/896)*
    S[5, Infinity] - (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/3360 + 
     (267*S[-1, 1, 1, 1, Infinity])/140) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/560 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (9577*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/60 + (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
     (491*S[2, Infinity]^3)/672 + (S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/8 - (125*S[3, Infinity]^2)/128 + 
     (227*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]/2) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (23*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-13*S[-5, -1, Infinity] + 
       14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((-8*S[-1, Infinity]^7)/315 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (185*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-537*S[-1, Infinity]^2)/64 - (249*S[2, Infinity])/28)*S[5, Infinity] + 
     (14905*S[7, Infinity])/896 - (37*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (751*S[2, Infinity]^2)/560 + 
       (5*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      (S[-1, Infinity]^5/60 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-37*S[-5, 1, 1, Infinity] + 
       33*S[5, -1, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (80160*S[-7, -1, Infinity] + 11737*S[5, 3, Infinity] + 
     16960*S[-5, -1, -1, -1, Infinity] + 2080*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 89600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, 1, -2, -2, Infinity] -> 
  (-31*S[-1, Infinity]^8)/10080 - (2659*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (85621*S[2, Infinity]^4)/21000 + 
   ((253*S[-1, Infinity]^2)/448 + (7*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((1043*S[-1, Infinity]^3)/384 + (599*S[-1, Infinity]*S[2, Infinity])/896 + 
     (221*S[3, Infinity])/1024)*S[5, Infinity] - 
   (111171*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-253*S[-1, Infinity]^4)/960 - 
     (11*S[-1, 1, 1, 1, Infinity])/20) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/960 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (2053*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-13*S[-5, -1, Infinity] - 
       72*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/120 + 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (89*S[2, Infinity]^3)/105 + 
     (5*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (37*S[3, Infinity]^2)/32 + (103*S[-1, Infinity]*S[5, Infinity])/64 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (7*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(39*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (103*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     ((-5*S[-1, Infinity]^2*S[2, Infinity])/32 - (7*S[2, Infinity]^2)/8)*
      S[3, Infinity] + (463*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-857*S[-1, Infinity]^2)/128 - (845*S[2, Infinity])/128)*
      S[5, Infinity] + (2719*S[7, Infinity])/128 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/16 + (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) - 2*S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (-11*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity] + 
       32*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (61760*S[-7, -1, Infinity] - 927*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] - 
     102400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, 1, -1, 1, -2, 2, Infinity] -> (-13*S[-1, Infinity]^8)/2520 - 
   (69*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (2272217*S[2, Infinity]^4)/
    1176000 + ((-3505*S[-1, Infinity]^2)/1792 - (2783*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((103*S[-1, Infinity]^3)/192 + 
     (2689*S[-1, Infinity]*S[2, Infinity])/448 + (35481*S[3, Infinity])/7168)*
    S[5, Infinity] - (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/21 - (263*S[-1, 1, 1, 1, Infinity])/
      70) + (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/56 - 
     (439*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (6267*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/90 - (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
     (3571*S[2, Infinity]^3)/3360 + ((7*S[-1, Infinity]^3)/24 - 
       (19*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] - 
     (217*S[3, Infinity]^2)/256 + (103*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*(S[-1, Infinity]^4/6 - 2*S[-1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (15*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/120 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-11*S[-5, -1, Infinity] + 
       14*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(S[-1, Infinity]^7/70 + 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (2151*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (415*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-289*S[-1, Infinity]^2)/64 - (901*S[2, Infinity])/448)*
      S[5, Infinity] + (41093*S[7, Infinity])/7168 - 
     (83*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-29*S[-1, Infinity]^4)/48 + 
       (49*S[-1, Infinity]^2*S[2, Infinity])/16 + (1973*S[2, Infinity]^2)/
        1120 + 4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-31*S[-1, Infinity]^5)/120 + 4*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-83*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (413760*S[-7, -1, Infinity] + 85157*S[5, 3, Infinity] + 
     52480*S[-5, -1, -1, -1, Infinity] + 28160*S[-5, -1, 1, 1, Infinity] - 
     573440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, -1, 1, 2, -2, Infinity] -> (-107*S[-1, Infinity]^8)/40320 + 
   (709*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2851069*S[2, Infinity]^4)/1176000 + 
   ((2171*S[-1, Infinity]^2)/896 + (11983*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-73*S[-1, Infinity]^3)/384 - 
     (13809*S[-1, Infinity]*S[2, Infinity])/896 - (13337*S[3, Infinity])/896)*
    S[5, Infinity] + (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1031*S[-1, Infinity]^4)/6720 + 
     (423*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-461*S[-1, Infinity]^5)/2240 + (473*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (5629*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (913*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (607*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/90 + 
     (153*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (2641*S[2, Infinity]^3)/1680 + ((-7*S[-1, Infinity]^3)/24 + 
       (37*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] + 
     (499*S[3, Infinity]^2)/256 - (73*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^4)/48 + 
       (7*S[-1, 1, 1, 1, Infinity])/2) - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-19*S[-5, -1, Infinity] + 
       32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/70 - 
     (61*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (111*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (1315*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((137*S[-1, Infinity]^2)/16 - (1797*S[2, Infinity])/896)*
      S[5, Infinity] + (19953*S[7, Infinity])/1792 + 
     (263*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((179*S[-1, Infinity]^4)/192 - 
       (197*S[-1, Infinity]^2*S[2, Infinity])/32 - (13931*S[2, Infinity]^2)/
        2240 - (95*S[-1, 1, 1, 1, Infinity])/8) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((3*S[-1, Infinity]^5)/8 - 
       7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + (263*S[-5, 1, 1, Infinity] + 
       32*S[5, -1, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-1001600*S[-7, -1, Infinity] - 149967*S[5, 3, Infinity] - 
     85760*S[-5, -1, -1, -1, Infinity] - 124800*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 1, 2, 2, Infinity] -> 
  (-191*S[-1, Infinity]^8)/40320 - (299*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (2565349*S[2, Infinity]^4)/470400 + 
   ((-14929*S[-1, Infinity]^2)/1792 + (5589*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((299*S[-1, Infinity]^3)/384 - 
     (4399*S[-1, Infinity]*S[2, Infinity])/224 - (100633*S[3, Infinity])/
      3584)*S[5, Infinity] + (36093*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-587*S[-1, Infinity]^4)/3360 - 
     (139*S[-1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((1049*S[-1, Infinity]^5)/1680 - 
     (3181*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (35253*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (157*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(93*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/120 + 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (611*S[2, Infinity]^3)/
      840 - (23*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (5*S[3, Infinity]^2)/64 - (73*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/96 - (3*S[-1, 1, 1, 1, Infinity])/
        4) - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-17*S[-5, -1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((163*S[-1, Infinity]^6)/1440 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (1291*S[-5, -1, Infinity] + 
       644*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/105 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (767*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (895*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((243*S[-1, Infinity]^2)/32 + (7891*S[2, Infinity])/896)*
      S[5, Infinity] - (172839*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 + (1237*S[2, Infinity]^2)/
        560 + (21*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-51*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (116*S[-5, 1, 1, Infinity] - 87*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-21*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-197184*S[-7, -1, Infinity] - 29775*S[5, 3, Infinity] - 
     8192*S[-5, -1, -1, -1, Infinity] - 37504*S[-5, -1, 1, 1, Infinity] - 
     16128*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, 1, 1, -1, -2, -2, Infinity] -> 
  (127*S[-1, Infinity]^8)/13440 + (689*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (2090629*S[2, Infinity]^4)/1176000 + 
   ((4079*S[-1, Infinity]^2)/1792 + (11657*S[2, Infinity])/5376)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/48 + 
     (1027*S[-1, Infinity]*S[2, Infinity])/112 - (75493*S[3, Infinity])/
      10752)*S[5, Infinity] - (7389*S[-1, Infinity]*S[7, Infinity])/896 - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/672 + 
     (221*S[-1, 1, 1, 1, Infinity])/56) + 
   (-4840*S[-7, -1, Infinity] - 2567*S[5, 3, Infinity] - 
     2400*S[-5, -1, -1, -1, Infinity] + 720*S[-5, -1, 1, 1, Infinity] + 
     3920*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-199*S[-1, Infinity]^5)/672 + 
     (433*S[-1, Infinity]^3*S[2, Infinity])/252 + 
     (6641*S[-1, Infinity]*S[2, Infinity]^2)/3360 + 
     (179*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (295*S[-1, 1, 1, 1, 1, Infinity])/168) + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/60 + 
     (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/48 + 
     (5*S[2, Infinity]*S[3, Infinity])/96 - (331*S[5, Infinity])/192 + 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/40 + 
     (23*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (977*S[2, Infinity]^3)/
      3360 + (77*S[3, Infinity]^2)/256 + (403*S[-1, Infinity]*S[5, Infinity])/
      128 - (3*S[-5, -1, Infinity])/4 + S[2, Infinity]*
      ((-11*S[-1, Infinity]^4)/96 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/180 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(3*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-113*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/1260 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (2063*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (1101*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-775*S[-1, Infinity]^2)/128 - (11889*S[2, Infinity])/896)*
      S[5, Infinity] + (3519*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/64 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 + (131*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/80 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (11*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-57*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-3*S[-5, 1, 1, Infinity] + 39*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] + 118*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, 1, 1, -1, -2, 2, Infinity] -> (23*S[-1, Infinity]^8)/3360 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (3222781*S[2, Infinity]^4)/
    2352000 + ((527*S[-1, Infinity]^2)/672 + (9*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-30*S[-1, Infinity]*S[2, Infinity])/7 - 
     (32579*S[3, Infinity])/10752)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/1120 - 
     (537*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/45 + 
     (S[-1, Infinity]^3*S[2, Infinity])/9 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/60 + 
     ((7*S[-1, Infinity]^2)/24 + (3*S[2, Infinity])/16)*S[3, Infinity] - 
     (259*S[5, Infinity])/384 + (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 - (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   S[3, Infinity]*((-869*S[-1, Infinity]^5)/5040 - 
     (34*S[-1, Infinity]^3*S[2, Infinity])/63 - 
     (3733*S[-1, Infinity]*S[2, Infinity]^2)/1680 + 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, 1, 1, 1, 1, Infinity]/42) + S[2, Infinity]*
    (S[-1, Infinity]^6/240 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (-185*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/180 - 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (167*S[2, Infinity]^3)/
      1680 + ((-7*S[-1, Infinity]^3)/12 - (7*S[-1, Infinity]*S[2, Infinity])/
        8)*S[3, Infinity] - (3*S[3, Infinity]^2)/4 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^4)/48 - (3*S[-1, 1, 1, 1, Infinity])/
        2) - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (3*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/630 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
     (421*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (305*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-93*S[-1, Infinity]^2)/128 + (401*S[2, Infinity])/224)*
      S[5, Infinity] - (26037*S[7, Infinity])/3584 - 
     (61*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/16 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/2 + (1427*S[2, Infinity]^2)/560 + 
       3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/120 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (-61*S[-5, 1, 1, Infinity] - 40*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (184320*S[-7, -1, Infinity] - 5721*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] + 39040*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, -1, 2, -2, Infinity] -> (-19*S[-1, Infinity]^8)/4480 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (3643711*S[2, Infinity]^4)/
    1176000 + ((-547*S[-1, Infinity]^2)/336 - (9893*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((6077*S[-1, Infinity]*S[2, Infinity])/224 + 
     (16631*S[3, Infinity])/1792)*S[5, Infinity] - 
   (26*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/210 + 
     (1291*S[-1, 1, 1, 1, Infinity])/280) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/45 - (S[-1, Infinity]^3*S[2, Infinity])/9 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((-7*S[-1, Infinity]^2)/24 - S[2, Infinity]/4)*S[3, Infinity] + 
     (43*S[5, Infinity])/32 - (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 + (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   S[3, Infinity]*((3287*S[-1, Infinity]^5)/20160 + 
     (2159*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (34003*S[-1, Infinity]*S[2, Infinity]^2)/3360 - 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (185*S[-1, 1, 1, 1, 1, Infinity])/168) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/180 + 
     (67*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (29*S[2, Infinity]^3)/
      336 + ((7*S[-1, Infinity]^3)/12 + (35*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] + (285*S[3, Infinity]^2)/256 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^4/8 + 2*S[-1, 1, 1, 1, Infinity]) + 
     (7*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/288 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(-24*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/630 - 
     (127*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (73*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-217*S[-1, Infinity]^2)/64 - (9461*S[2, Infinity])/448)*
      S[5, Infinity] + (180373*S[7, Infinity])/3584 + 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-65*S[-1, Infinity]^4)/192 - 
       (117*S[-1, Infinity]^2*S[2, Infinity])/32 - (14227*S[2, Infinity]^2)/
        2240 - (19*S[-1, 1, 1, 1, Infinity])/8) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/40 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     (34*S[-5, 1, 1, Infinity] + 83*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (90560*S[-7, -1, Infinity] + 26583*S[5, 3, Infinity] + 
     33280*S[-5, -1, -1, -1, Infinity] - 17600*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, 1, -1, 2, 2, Infinity] -> 
  (-173*S[-1, Infinity]^8)/20160 - (5*S[-1, Infinity]^2*S[2, Infinity]^3)/4 + 
   (5371529*S[2, Infinity]^4)/2352000 + 
   ((-10489*S[-1, Infinity]^2)/1792 - (13513*S[2, Infinity])/2688)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/192 + 
     (197*S[-1, Infinity]*S[2, Infinity])/28 - (9953*S[3, Infinity])/1344)*
    S[5, Infinity] + (14399*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-521*S[-1, Infinity]^4)/6720 - 
     (169*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (15920*S[-7, -1, Infinity] + 4929*S[5, 3, Infinity] + 
     6080*S[-5, -1, -1, -1, Infinity] - 3280*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((597*S[-1, Infinity]^5)/2240 - 
     (487*S[-1, Infinity]^3*S[2, Infinity])/252 - 
     (5203*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (137*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (289*S[-1, 1, 1, 1, 1, Infinity])/84) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/60 - 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (S[2, Infinity]*S[3, Infinity])/48 + (227*S[5, Infinity])/192 - 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/40 - (91*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (19*S[2, Infinity]^3)/168 - (21*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/32 - (145*S[3, Infinity]^2)/128 + 
     (31*S[-1, Infinity]*S[5, Infinity])/64 + (5*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/8 - S[-1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (89*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-7*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/1260 + 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (153*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (2481*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-155*S[-1, Infinity]^2)/32 - (639*S[2, Infinity])/224)*
      S[5, Infinity] + (19895*S[7, Infinity])/896 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/32 - (1223*S[2, Infinity]^2)/
        1120 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       7*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/14 + (-15*S[-5, 1, 1, Infinity] + 
       48*S[5, -1, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14), S[1, 1, 1, 1, -2, -2, Infinity] -> S[-1, Infinity]^8/384 + 
   (13*S[1, Infinity]^4*S[2, Infinity]^2)/960 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (626*S[2, Infinity]^4)/2625 - 
   (19*S[2, Infinity]*S[3, Infinity]^2)/768 + 
   S[1, Infinity]^3*((-5*S[2, Infinity]*S[3, Infinity])/48 + 
     (41*S[5, Infinity])/192) + (829*S[3, Infinity]*S[5, Infinity])/768 + 
   S[1, Infinity]^2*(-(S[-1, Infinity]^2*S[2, Infinity]^2)/8 - 
     (157*S[2, Infinity]^3)/3360 - (7*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (51*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*(S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]/2)) + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/240 - 
     (7*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-49*S[5, 3, Infinity] + 1920*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[1, Infinity]*((S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     (269*S[2, Infinity]*S[5, Infinity])/64 - (5275*S[7, Infinity])/512 - 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 - 
     (3*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 + (703*S[2, Infinity]^2)/
        480 + (21*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity])) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/320 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
      Infinity]), S[1, 1, 1, 1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/1152 + (121*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (2357*S[2, Infinity]^4)/5250 + ((151*S[-1, Infinity]^2)/96 + 
     (359*S[2, Infinity])/192)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 - (17*S[-1, Infinity]*S[2, Infinity])/16 + 
     (385*S[3, Infinity])/96)*S[5, Infinity] - 
   (2165*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[1, Infinity]^4*(-S[-1, Infinity]^4/36 + 
      (S[-1, Infinity]^2*S[2, Infinity])/6 + (17*S[2, Infinity]^2)/80 + 
      (7*S[-1, Infinity]*S[3, Infinity])/12 + (2*S[-1, 1, 1, 1, Infinity])/
       3))/4 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((151*S[-1, Infinity]^4)/960 + 
     (89*S[-1, 1, 1, 1, Infinity])/40) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/45 - (S[-1, Infinity]^3*S[2, Infinity])/9 + 
     ((-7*S[-1, Infinity]^2)/24 + (5*S[2, Infinity])/96)*S[3, Infinity] + 
     (103*S[5, Infinity])/192 - (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 + (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/576 + 
     (10*S[-1, Infinity]^3*S[2, Infinity])/9 + 
     (151*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     (59*S[-1, 1, 1, 1, 1, Infinity])/24) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/36 + (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (1153*S[2, Infinity]^3)/1680 + ((7*S[-1, Infinity]^3)/24 + 
       (35*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (109*S[3, Infinity]^2)/256 - (31*S[-1, Infinity]*S[5, Infinity])/32 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^4)/96 + (5*S[-1, 1, 1, 1, Infinity])/
        4) - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/96 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-4*S[-5, -1, Infinity] + 
       5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[-1, Infinity]^7/63 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (13*S[-1, Infinity]*S[3, Infinity]^2)/24 + 
     (17*S[2, Infinity]*S[5, Infinity])/32 + (3385*S[7, Infinity])/512 + 
     S[3, Infinity]*((-95*S[-1, Infinity]^4)/576 - 
       (47*S[-1, Infinity]^2*S[2, Infinity])/48 + S[2, Infinity]^2/64 + 
       (11*S[-1, 1, 1, 1, Infinity])/24) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] + 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-7680*S[-7, -1, Infinity] - 2011*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2 + 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[1, 1, 1, 1, 2, -2, Infinity] -> 
  S[-1, Infinity]^8/288 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (6178243*S[2, Infinity]^4)/2352000 + 
   ((-253*S[-1, Infinity]^2)/672 + (703*S[2, Infinity])/672)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 - 
     (965*S[-1, Infinity]*S[2, Infinity])/448 - (4925*S[3, Infinity])/10752)*
    S[5, Infinity] - (49611*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-337*S[-1, Infinity]^4)/3360 - 
     (83*S[-1, 1, 1, 1, Infinity])/140) + S[1, Infinity]^4*
    (S[-1, Infinity]^4/144 - (S[-1, Infinity]^2*S[2, Infinity])/24 - 
     (17*S[2, Infinity]^2)/192 - (7*S[-1, Infinity]*S[3, Infinity])/48 - 
     S[-1, 1, 1, 1, Infinity]/6) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-121*S[-1, Infinity]^5)/2520 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/126 - 
     (2377*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (185*S[-1, 1, 1, 1, 1, Infinity])/42) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/45 + (S[-1, Infinity]^3*S[2, Infinity])/9 + 
     ((7*S[-1, Infinity]^2)/24 - S[2, Infinity]/6)*S[3, Infinity] - 
     (73*S[5, Infinity])/384 + (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 - (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (43*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/36 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/4 - (4393*S[2, Infinity]^3)/3360 + 
     ((-7*S[-1, Infinity]^3)/24 - (7*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] + (23*S[3, Infinity]^2)/64 - 
     (279*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/12 - S[-1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(43*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/63 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/3 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/8 - 
     (649*S[-1, Infinity]*S[3, Infinity]^2)/672 - 
     (2123*S[2, Infinity]*S[5, Infinity])/448 + (10187*S[7, Infinity])/3584 + 
     S[3, Infinity]*((29*S[-1, Infinity]^4)/144 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/24 - (2459*S[2, Infinity]^2)/
        1680 - (4*S[-1, 1, 1, 1, Infinity])/3) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-5*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-261760*S[-7, -1, Infinity] - 28183*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, 1, 2, 2, Infinity] -> (7*S[1, Infinity]^4*S[2, Infinity]^2)/240 + 
   (42823*S[2, Infinity]^4)/42000 + (S[2, Infinity]*S[3, Infinity]^2)/6 + 
   S[1, Infinity]^2*((443*S[2, Infinity]^3)/840 - S[3, Infinity]^2/2) + 
   S[1, Infinity]^3*((S[2, Infinity]*S[3, Infinity])/3 - 
     (11*S[5, Infinity])/12) - (23*S[3, Infinity]*S[5, Infinity])/6 + 
   S[1, Infinity]*((61*S[2, Infinity]^2*S[3, Infinity])/30 + 
     (5*S[2, Infinity]*S[5, Infinity])/4 - 11*S[7, Infinity]) + 
   (2*S[5, 3, Infinity])/5, S[1, -1, -1, -1, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/6720 + (55*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (483079*S[2, Infinity]^4)/156800 + 
   ((-1515*S[-1, Infinity]^2)/896 - (1369*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-199*S[-1, Infinity]^3)/128 + 
     (5321*S[-1, Infinity]*S[2, Infinity])/896 - (2619*S[3, Infinity])/1792)*
    S[5, Infinity] + S[1, Infinity]*((-19*S[-1, Infinity]^3*S[2, Infinity]^2)/
      240 - (71*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (-S[-1, Infinity]^4/32 + (S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (11*S[2, Infinity]^2)/20)*S[3, Infinity] + 
     (11*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-15*S[-1, Infinity]^2)/16 - (7*S[2, Infinity])/16)*S[5, Infinity] - 
     (189*S[7, Infinity])/64) + (78489*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((443*S[-1, Infinity]^4)/3360 + 
     (33*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/112 - (59*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2433*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (19*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 64*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (8896*S[-7, -1, Infinity] + 3489*S[5, 3, Infinity] + 
     7040*S[-5, -1, -1, -1, Infinity] - 2112*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[1, -1, -1, -1, -1, 3, Infinity] -> -S[-1, Infinity]^8/5040 + 
   (149*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (21279*S[2, Infinity]^4)/112000 + ((-275*S[-1, Infinity]^2)/128 - 
     (1157*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((5*S[-1, Infinity]^3)/8 + (375*S[-1, Infinity]*S[2, Infinity])/16 + 
     (1021*S[3, Infinity])/64)*S[5, Infinity] - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/480 + 
     (3*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/80 + (19*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (1989*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/720 + 
     (3*(-7*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]*(S[-1, Infinity]^7/2520 - 
     (S[-1, Infinity]^5*S[2, Infinity])/120 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (347*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/32 - (11*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (1919*S[2, Infinity]^2)/1120)*S[3, Infinity] + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-399*S[-1, Infinity]^2)/128 - (7815*S[2, Infinity])/896)*
      S[5, Infinity] + (67905*S[7, Infinity])/3584 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (S[-5, 1, 1, Infinity] + 64*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (10080*S[-7, -1, Infinity] + 3109*S[5, 3, Infinity] + 
     2400*S[-5, -1, -1, -1, Infinity] - 240*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/320, 
 S[1, -1, -1, -1, 1, -3, Infinity] -> (557*S[-1, Infinity]^8)/40320 + 
   (523*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1348827*S[2, Infinity]^4)/392000 + 
   ((-345*S[-1, Infinity]^2)/448 - (1431*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((151*S[-1, Infinity]^3)/192 + 
     (24289*S[-1, Infinity]*S[2, Infinity])/896 + (9613*S[3, Infinity])/1792)*
    S[5, Infinity] - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/210 + 
     (103*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-713*S[-1, Infinity]^5)/3360 + 
     (307*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (10313*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-17*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-235*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/2520 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (459*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (303*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-399*S[-1, Infinity]^2)/128 - (13637*S[2, Infinity])/896)*
      S[5, Infinity] + (91669*S[7, Infinity])/3584 + 
     S[3, Infinity]*((23*S[-1, Infinity]^4)/192 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/32 - (1171*S[2, Infinity]^2)/
        448 - (15*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/24 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-33*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (2*(5*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (532160*S[-7, -1, Infinity] + 125247*S[5, 3, Infinity] + 
     154880*S[-5, -1, -1, -1, Infinity] - 38400*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, -1, -1, 1, 3, Infinity] -> 
  (163*S[-1, Infinity]^8)/20160 + (477*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (2970027*S[2, Infinity]^4)/784000 + 
   ((-35*S[-1, Infinity]^2)/16 - (7187*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-535*S[-1, Infinity]^3)/384 + 
     (333*S[-1, Infinity]*S[2, Infinity])/64 - (10211*S[3, Infinity])/3584)*
    S[5, Infinity] + (32777*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((57*S[-1, Infinity]^4)/2240 + 
     (431*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/112 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (557*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (309*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-7*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (281*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/126 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (4*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     (557*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-15*S[-1, Infinity]^2)/16 + (205*S[2, Infinity])/112)*S[5, Infinity] - 
     (39439*S[7, Infinity])/3584 + S[3, Infinity]*(S[-1, Infinity]^4/96 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 + (3023*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(5*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-3*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] - 106*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (28320*S[-7, -1, Infinity] + 26753*S[5, 3, Infinity] + 
     45440*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, 1, -1, -3, Infinity] -> 
  (-23*S[-1, Infinity]^8)/6720 + (115*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (4769*S[2, Infinity]^4)/4480 + 
   ((5*S[-1, Infinity]^2)/16 - (581*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-47*S[-1, Infinity]^3)/24 + (145*S[-1, Infinity]*S[2, Infinity])/16 + 
     (3899*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/60 - 
     (2*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/240 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (1581*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-85*S[-5, -1, Infinity] - 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (3*S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/2520 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
     (83*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (117*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-461*S[-1, Infinity]^2)/128 - (7701*S[2, Infinity])/896)*
      S[5, Infinity] + (148191*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 - (801*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(11*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-86*S[-5, 1, 1, Infinity] + 103*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (25216*S[-7, -1, Infinity] + 3439*S[5, 3, Infinity] + 
     2048*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     1024*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/512, 
 S[1, -1, -1, 1, -1, 3, Infinity] -> (-97*S[-1, Infinity]^8)/20160 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (118077*S[2, Infinity]^4)/
    196000 + ((2769*S[-1, Infinity]^2)/896 - (8675*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1589*S[-1, Infinity]^3)/384 + 
     (7771*S[-1, Infinity]*S[2, Infinity])/896 + (56565*S[3, Infinity])/3584)*
    S[5, Infinity] - (27549*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1157*S[-1, Infinity]^4)/3360 - 
     (191*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (116320*S[-7, -1, Infinity] + 29649*S[5, 3, Infinity] + 
     17600*S[-5, -1, -1, -1, Infinity] + 16000*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/4480 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/2240 + 
     (285*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (14339*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (337*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-353*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-149*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(62*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 - 
     (89*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (229*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-91*S[-1, Infinity]^2)/64 - (6851*S[2, Infinity])/896)*
      S[5, Infinity] + (43935*S[7, Infinity])/1792 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 - 
       (31*S[-1, Infinity]^2*S[2, Infinity])/32 - (4733*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/240 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-95*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-12*S[-5, 1, 1, Infinity] + 51*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, -1, -1, 1, 1, -3, Infinity] -> S[-1, Infinity]^8/320 + 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (34739*S[2, Infinity]^4)/196000 + ((-767*S[-1, Infinity]^2)/448 - 
     (1205*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-323*S[-1, Infinity]^3)/128 - (2151*S[-1, Infinity]*S[2, Infinity])/
      896 + (8987*S[3, Infinity])/896)*S[5, Infinity] + 
   (193707*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1009*S[-1, Infinity]^4)/6720 - 
     (827*S[-1, 1, 1, 1, Infinity])/280) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((169*S[-1, Infinity]^5)/1344 - 
     (803*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (103*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-57*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/160 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-373*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-36*S[-5, 1, 1, Infinity] - 99*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (219*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (687*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-91*S[-1, Infinity]^2)/64 + (179*S[2, Infinity])/56)*S[5, Infinity] - 
     (14991*S[7, Infinity])/3584 + S[3, Infinity]*
      ((-13*S[-1, Infinity]^4)/96 + (25*S[-1, Infinity]^2*S[2, Infinity])/
        16 + (52*S[2, Infinity]^2)/35 + (17*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(33*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-41*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (87600*S[-7, -1, Infinity] + 20497*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 9600*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, -1, -1, 1, 1, 3, Infinity] -> S[-1, Infinity]^8/5760 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (335959*S[2, Infinity]^4)/
    196000 + ((-103*S[-1, Infinity]^2)/896 - (4397*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/32 + 
     (3705*S[-1, Infinity]*S[2, Infinity])/448 + (13095*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/840 - 
     (261*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (767680*S[-7, -1, Infinity] + 83757*S[5, 3, Infinity] + 
     52480*S[-5, -1, -1, -1, Infinity] + 108800*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/672 + 
     (151*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1037*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (123*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-473*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-131*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/280 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (293*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (327*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-461*S[-1, Infinity]^2)/128 - (6547*S[2, Infinity])/896)*
      S[5, Infinity] + (163725*S[7, Infinity])/7168 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/192 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/32 - (341*S[2, Infinity]^2)/
        560 - (5*S[-1, 1, 1, 1, Infinity])/8) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/30 - 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-3*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-46*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -1, 1, -1, -1, -3, Infinity] -> (-19*S[-1, Infinity]^8)/1920 - 
   (1283*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (52737*S[2, Infinity]^4)/78400 + ((715*S[-1, Infinity]^2)/448 + 
     (8483*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-53*S[-1, Infinity]^3)/64 - (29865*S[-1, Infinity]*S[2, Infinity])/896 - 
     (27735*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/1120 - 
     (39*S[-1, 1, 1, 1, Infinity])/35) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((493*S[-1, Infinity]^5)/3360 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (26147*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (409*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1273*S[-5, -1, Infinity] - 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(331*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/360 - 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (1641*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((529*S[-1, Infinity]^2)/64 + (11019*S[2, Infinity])/448)*
      S[5, Infinity] - (359081*S[7, Infinity])/7168 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/64 - 
       (25*S[-1, Infinity]^2*S[2, Infinity])/32 + (1879*S[2, Infinity]^2)/
        1120 - (15*S[-1, 1, 1, 1, Infinity])/8) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/40 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-25*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (74*S[-5, 1, 1, Infinity] - 129*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-281024*S[-7, -1, Infinity] - 44311*S[5, 3, Infinity] - 
     36096*S[-5, -1, -1, -1, Infinity] - 14976*S[-5, -1, 1, 1, Infinity] - 
     16128*S[-1, 1, 1, 1, Infinity]^2 + 100352*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, 1, -1, -1, 3, Infinity] -> 
  -S[-1, Infinity]^8/576 - (449*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (56687*S[2, Infinity]^4)/392000 + ((2075*S[-1, Infinity]^2)/1792 + 
     (22483*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((49*S[-1, Infinity]^3)/128 - (14709*S[-1, Infinity]*S[2, Infinity])/448 - 
     (19217*S[3, Infinity])/7168)*S[5, Infinity] - 
   (188861*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-691*S[-1, Infinity]^4)/6720 + 
     (243*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((761*S[-1, Infinity]^5)/3360 - 
     (649*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (48289*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (619*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(209*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/180 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (251*S[-5, -1, Infinity] + 63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(S[-1, Infinity]^7/420 + 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (1321*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((903*S[-1, Infinity]^2)/128 + (5937*S[2, Infinity])/896)*
      S[5, Infinity] - (42555*S[7, Infinity])/1792 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/16 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (349*S[2, Infinity]^2)/560 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/120 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(-3*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (29*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-16*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3241920*S[-7, -1, Infinity] - 537479*S[5, 3, Infinity] - 
     431360*S[-5, -1, -1, -1, Infinity] - 222720*S[-5, -1, 1, 1, Infinity] + 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, 1, -3, Infinity] -> S[-1, Infinity]^8/1008 - 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (12688*S[2, Infinity]^4)/6125 + ((-467*S[-1, Infinity]^2)/256 + 
     (6595*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((359*S[-1, Infinity]^3)/128 - (5547*S[-1, Infinity]*S[2, Infinity])/128 - 
     (76919*S[3, Infinity])/3584)*S[5, Infinity] + 
   (26613*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/1680 - 
     (3*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((1163*S[-1, Infinity]^5)/3360 - 
     (113*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1279*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (135*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(45*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (743*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/180 + 
     (S[-1, Infinity]^5*S[2, Infinity])/40 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (293*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((903*S[-1, Infinity]^2)/128 + (1209*S[2, Infinity])/64)*
      S[5, Infinity] - (45359*S[7, Infinity])/1024 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 + (683*S[2, Infinity]^2)/
        320 + (9*S[-1, 1, 1, 1, Infinity])/4) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*
      (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (14*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(-58*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-111640*S[-7, -1, Infinity] - 19553*S[5, 3, Infinity] - 
     14400*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[1, -1, 1, -1, 1, 3, Infinity] -> 
  (-11*S[-1, Infinity]^8)/10080 - (3009*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (334403*S[2, Infinity]^4)/784000 + 
   ((219*S[-1, Infinity]^2)/448 + (17041*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((51*S[-1, Infinity]^3)/32 - 
     (7313*S[-1, Infinity]*S[2, Infinity])/224 - (109047*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((557*S[-1, Infinity]^4)/3360 + 
     (31*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((89*S[-1, Infinity]^5)/840 - (185*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (56253*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (117*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (201*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(459*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/2520 - 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (4371*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((529*S[-1, Infinity]^2)/64 + (9223*S[2, Infinity])/448)*
      S[5, Infinity] - (72725*S[7, Infinity])/1792 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 + (227*S[2, Infinity]^2)/
        280 - 3*S[-1, 1, 1, 1, Infinity]) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/120 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (39*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-3140800*S[-7, -1, Infinity] - 531327*S[5, 3, Infinity] - 
     390400*S[-5, -1, -1, -1, Infinity] - 254720*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, -1, -3, Infinity] -> 
  -S[-1, Infinity]^8/672 - (69*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1467839*S[2, Infinity]^4)/784000 + 
   ((4257*S[-1, Infinity]^2)/1792 + (7571*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((235*S[-1, Infinity]^3)/128 - 
     (16897*S[-1, Infinity]*S[2, Infinity])/896 - (51351*S[3, Infinity])/
      3584)*S[5, Infinity] - (21705*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((155*S[-1, Infinity]^4)/1344 + 
     (737*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/448 + 
     (227*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (661*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (261*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (232*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/315 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (409*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1293*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((283*S[-1, Infinity]^2)/128 + (6969*S[2, Infinity])/896)*
      S[5, Infinity] - (103555*S[7, Infinity])/7168 + 
     (2*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 - (27*S[2, Infinity]^2)/448 - 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) + (50*S[-5, 1, 1, Infinity] - 
       41*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) - (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] + 
      78*S[5, -1, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1027840*S[-7, -1, Infinity] - 196043*S[5, 3, Infinity] - 
     156160*S[-5, -1, -1, -1, Infinity] - 76800*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 1, 1, -1, 3, Infinity] -> 
  (101*S[-1, Infinity]^8)/40320 + (113*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (249541*S[2, Infinity]^4)/112000 + 
   ((-11*S[-1, Infinity]^2)/64 + (1181*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]^3)/8 - 
     (95*S[-1, Infinity]*S[2, Infinity])/16 + (1241*S[3, Infinity])/1024)*
    S[5, Infinity] + (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/160 + 
     (14*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/480 - (5*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (449*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 + 11*S[-5, -1, Infinity] - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((17*S[-1, Infinity]^7)/2520 + (23*S[-1, Infinity]^3*S[2, Infinity]^2)/
      60 - (863*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (61*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((219*S[-1, Infinity]^2)/64 + (15*S[2, Infinity])/16)*S[5, Infinity] - 
     (20995*S[7, Infinity])/1024 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/
      4 - (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-35*S[-1, Infinity]^4)/192 + 
       (61*S[-1, Infinity]^2*S[2, Infinity])/32 + (119*S[2, Infinity]^2)/40 + 
       (29*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-2*S[-1, Infinity]^5)/15 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 7*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
       24*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-187840*S[-7, -1, Infinity] - 34779*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] + 
     23040*S[-1, 1, 1, 1, Infinity]^2 + 92160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, 1, 1, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/1120 + (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (17849*S[2, Infinity]^4)/5600 + ((9*S[-1, Infinity]^2)/16 + 
     (13*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-2*S[-1, Infinity]^3)/3 + (S[-1, Infinity]*S[2, Infinity])/32 - 
     (1277*S[3, Infinity])/128)*S[5, Infinity] + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/240 + 
     (8*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (-S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (8*S[-1, Infinity]*S[2, Infinity]^2)/5 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 10*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/720 + (33*S[-5, -1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/840 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (53*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (13*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((219*S[-1, Infinity]^2)/64 - (61*S[2, Infinity])/64)*S[5, Infinity] - 
     (1889*S[7, Infinity])/256 + S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (39*S[2, Infinity]^2)/40 - 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/30 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]*
      (-3*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (5*S[-5, 1, 1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-4608*S[-7, -1, Infinity] - 469*S[5, 3, Infinity] - 
     896*S[-5, -1, 1, 1, Infinity] + 2560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[1, -1, 1, 1, 1, 3, Infinity] -> 
  (5*S[-1, Infinity]^8)/4032 - (797*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (299823*S[2, Infinity]^4)/156800 + 
   ((-2267*S[-1, Infinity]^2)/1792 + (8933*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((209*S[-1, Infinity]^3)/384 - 
     (12949*S[-1, Infinity]*S[2, Infinity])/896 - (69711*S[3, Infinity])/
      7168)*S[5, Infinity] + (5357*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 + (267*S[-5, -1, Infinity])/14) + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/840 + 
     (183*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((181*S[-1, Infinity]^5)/2240 - 
     (237*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (37493*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (767*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(221*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/630 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (139*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (S[-1, Infinity]^4/24 + (143*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (89*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((283*S[-1, Infinity]^2)/128 + (1467*S[2, Infinity])/896)*
      S[5, Infinity] - (31803*S[7, Infinity])/3584 + 
     S[2, Infinity]*(S[-1, Infinity]^5/80 + S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]*(-29*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-55*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-406208*S[-7, -1, Infinity] - 57847*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 46848*S[-5, -1, 1, 1, Infinity] + 
     157696*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, 1, -1, -1, -1, -3, Infinity] -> S[-1, Infinity]^8/3360 - 
   (597*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (233071*S[2, Infinity]^4)/784000 + 
   ((723*S[-1, Infinity]^2)/448 + (3723*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]^3)/16 - 
     (2169*S[-1, Infinity]*S[2, Infinity])/112 - (38357*S[3, Infinity])/3584)*
    S[5, Infinity] + (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((361*S[-1, Infinity]^4)/3360 + 
     (73*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/840 - (59*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (6981*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/720 - (S[-1, Infinity]^4*S[2, Infinity])/48 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (123*S[2, Infinity]^3)/1120 + 
     (-S[-1, Infinity]^3/16 - (11*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (15*S[-1, Infinity]*S[5, Infinity])/16 + 
     (-9*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + 
     (237*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/840 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (59*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     ((3*S[-1, Infinity]^4)/32 + (7*S[-1, Infinity]^2*S[2, Infinity])/8 + 
       (22*S[2, Infinity]^2)/7)*S[3, Infinity] - 
     (17*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((339*S[-1, Infinity]^2)/64 + (891*S[2, Infinity])/56)*S[5, Infinity] - 
     (7953*S[7, Infinity])/224 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-10*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-729280*S[-7, -1, Infinity] - 152897*S[5, 3, Infinity] - 
     110080*S[-5, -1, -1, -1, Infinity] - 46720*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -1, -1, 3, Infinity] -> -S[-1, Infinity]^8/1344 - 
   (4177*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (4034521*S[2, Infinity]^4)/784000 + 
   ((481*S[-1, Infinity]^2)/256 + (13135*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((57*S[-1, Infinity]^3)/16 - 
     (37*S[-1, Infinity]*S[2, Infinity])/2 - (13007*S[3, Infinity])/7168)*
    S[5, Infinity] + S[1, Infinity]^2*
    ((-19*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (71*S[2, Infinity]^3)/224 + (-S[-1, Infinity]^3/16 + 
       (S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] + 
     (11*S[3, Infinity]^2)/32 - (15*S[-1, Infinity]*S[5, Infinity])/16) - 
   (74891*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-997*S[-1, Infinity]^4)/3360 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-55*S[-1, Infinity]^5)/1344 - (89*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (1913*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 + 
     (103*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(25*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(S[-1, Infinity]^7/840 + 
     (39*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (1607*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((3*S[-1, Infinity]^4)/32 + (S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (369*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((91*S[-1, Infinity]^2)/64 + (4135*S[2, Infinity])/896)*S[5, Infinity] + 
     (11267*S[7, Infinity])/1792 + S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(95*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-16*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-1039680*S[-7, -1, Infinity] - 278921*S[5, 3, Infinity] - 
     336640*S[-5, -1, -1, -1, Infinity] + 40960*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, -1, -1, 1, -3, Infinity] -> (-131*S[-1, Infinity]^8)/8064 - 
   (4957*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (179483*S[2, Infinity]^4)/112000 + 
   ((-9157*S[-1, Infinity]^2)/1792 + (1169*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((1337*S[-1, Infinity]^3)/384 - 
     (12853*S[-1, Infinity]*S[2, Infinity])/896 - (10831*S[3, Infinity])/512)*
    S[5, Infinity] - (19577*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/32 - 
     (8*S[-1, 1, 1, 1, Infinity])/5) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((389*S[-1, Infinity]^5)/960 - 
     (35*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (5333*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     12*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/288 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (97*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(409*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/72 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (4*S[2, Infinity]^3)/35 + 
     (S[-1, Infinity]^3/12 + (9*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (25*S[3, Infinity]^2)/128 - 
     (151*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((5*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-55*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((53*S[-1, Infinity]^7)/2520 + 
     (67*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (395*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (133*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((61*S[-1, Infinity]^2)/32 + (17*S[2, Infinity])/32)*S[5, Infinity] + 
     (9045*S[7, Infinity])/1024 + S[3, Infinity]*((-9*S[-1, Infinity]^4)/64 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (75*S[2, Infinity]^2)/64 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/40 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(7*S[-5, -1, Infinity] + 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (2*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
       24*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-39040*S[-7, -1, Infinity] - 9537*S[5, 3, Infinity] - 
     5760*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     5760*S[-1, 1, 1, 1, Infinity]^2 - 10240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[1, 1, -1, -1, 1, 3, Infinity] -> 
  (-23*S[-1, Infinity]^8)/2520 + (499*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (268337*S[2, Infinity]^4)/112000 + 
   ((45*S[-1, Infinity]^2)/256 + (535*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-151*S[-1, Infinity]^3)/384 - (631*S[-1, Infinity]*S[2, Infinity])/128 - 
     (4003*S[3, Infinity])/1024)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/480 + 
     (13*S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/240 - (7*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (753*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/80 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (201*S[2, Infinity]^3)/560 + 
     (S[-1, Infinity]^3/12 + (3*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (163*S[3, Infinity]^2)/256 - 
     (151*S[-1, Infinity]*S[5, Infinity])/128 - (5*S[-5, -1, Infinity])/4 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/720 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(-15*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   S[1, Infinity]*((47*S[-1, Infinity]^7)/2520 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (1537*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (155*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((185*S[-1, Infinity]^2)/32 + (1385*S[2, Infinity])/896)*
      S[5, Infinity] - (14993*S[7, Infinity])/7168 + 
     (31*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/96 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/8 - (3393*S[2, Infinity]^2)/
        1120 - (23*S[-1, 1, 1, 1, Infinity])/4) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/120 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (124*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-216000*S[-7, -1, Infinity] - 14583*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 39680*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2 - 51200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, -1, 1, -1, -3, Infinity] -> 
  (11*S[-1, Infinity]^8)/2520 - (93*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (303543*S[2, Infinity]^4)/784000 + 
   ((-6917*S[-1, Infinity]^2)/1792 - (12783*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((233*S[-1, Infinity]^3)/48 + 
     (11637*S[-1, Infinity]*S[2, Infinity])/448 - (6129*S[3, Infinity])/1792)*
    S[5, Infinity] - (13073*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-643*S[-1, Infinity]^4)/3360 - 
     (9*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-247*S[-1, Infinity]^5)/3360 + 
     (69*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (11001*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/480 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-37*S[-5, -1, Infinity] - 
       210*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/120 - 
     (S[-1, Infinity]^4*S[2, Infinity])/48 - 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (51*S[2, Infinity]^3)/
      224 + (-S[-1, Infinity]^3/16 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (5*S[3, Infinity]^2)/4 + 
     (47*S[-1, Infinity]*S[5, Infinity])/16 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (17*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-81*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-57*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-29*S[-1, Infinity]^7)/2520 + 
     (67*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (5589*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-435*S[-1, Infinity]^2)/32 - (17025*S[2, Infinity])/896)*
      S[5, Infinity] + (22453*S[7, Infinity])/448 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/96 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 - (933*S[2, Infinity]^2)/448 - 
       S[-1, 1, 1, 1, Infinity]/2) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-25*S[-5, 1, 1, Infinity] + 52*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (732160*S[-7, -1, Infinity] + 116201*S[5, 3, Infinity] + 
     102400*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, 1, -1, 3, Infinity] -> S[-1, Infinity]^8/140 + 
   (1341*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (703897*S[2, Infinity]^4)/784000 + 
   ((-705*S[-1, Infinity]^2)/1792 - (3063*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((47*S[-1, Infinity]^3)/48 + 
     (2165*S[-1, Infinity]*S[2, Infinity])/112 + (3323*S[3, Infinity])/7168)*
    S[5, Infinity] - (153*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/3360 + (153*S[-1, 1, 1, 1, Infinity])/
      140) + (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/420 + 
     (101*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (32541*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (85*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    ((7*S[-1, Infinity]^6)/720 + (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
     S[2, Infinity]^3/5 + (-S[-1, Infinity]^3/16 + S[-1, Infinity]*
        S[2, Infinity])*S[3, Infinity] - (93*S[3, Infinity]^2)/256 + 
     (47*S[-1, Infinity]*S[5, Infinity])/16 + S[2, Infinity]*
      (-S[-1, Infinity]^4/16 + S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (11*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-219*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/72 - 
     (207*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-311*S[-1, Infinity]^2)/32 - (2531*S[2, Infinity])/112)*
      S[5, Infinity] + (346175*S[7, Infinity])/7168 - 
     (43*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (2883*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/4) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-43*S[-5, 1, 1, Infinity] + 153*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1350080*S[-7, -1, Infinity] + 210527*S[5, 3, Infinity] + 
     195840*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 1, 1, -3, Infinity] -> 
  (-23*S[-1, Infinity]^8)/10080 - (251*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (687*S[2, Infinity]^4)/280 + 
   (-S[-1, Infinity]^2/8 - (9*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((11*S[-1, Infinity]^3)/64 + (33*S[-1, Infinity]*S[2, Infinity])/64 + 
     (35*S[3, Infinity])/16)*S[5, Infinity] + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/120 - (18*S[-1, 1, 1, 1, Infinity])/
      5) + (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(S[-1, Infinity]^5/15 - (S[-1, Infinity]^3*S[2, Infinity])/
      6 - (23*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/240 - (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
     (53*S[2, Infinity]^3)/70 + (S[-1, Infinity]^3/12 - 
       (3*S[-1, Infinity]*S[2, Infinity])/4)*S[3, Infinity] - 
     (3*S[3, Infinity]^2)/4 + (33*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*(S[-1, Infinity]^4/12 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/720 - 10*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (S[-1, Infinity]^7/168 + (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (66*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (39*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-39*S[-1, Infinity]^2)/8 + (51*S[2, Infinity])/64)*S[5, Infinity] + 
     (369*S[7, Infinity])/256 - (9*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/24 + 2*S[-1, Infinity]^2*
        S[2, Infinity] + (5*S[2, Infinity]^2)/2 + 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-13*S[-1, Infinity]^5)/120 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(3*S[-5, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (704*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/32, S[1, 1, -1, 1, 1, 3, Infinity] -> 
  (-29*S[-1, Infinity]^8)/40320 - (249*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (376749*S[2, Infinity]^4)/112000 + 
   ((1565*S[-1, Infinity]^2)/1792 - (517*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((259*S[-1, Infinity]^3)/64 + 
     (3249*S[-1, Infinity]*S[2, Infinity])/224 + (8815*S[3, Infinity])/1024)*
    S[5, Infinity] - (260775*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/80 + 
     (11*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/80 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (31111*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-73*S[-5, -1, Infinity] - 40*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/180 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (87*S[2, Infinity]^3)/280 + 
     (S[-1, Infinity]^3*S[3, Infinity])/12 - (19*S[3, Infinity]^2)/64 + 
     (33*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (S[-1, Infinity]^4/32 + S[-1, 1, 1, 1, Infinity]/4) + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (7*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 125*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/120 + 
     (97*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1061*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (759*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-35*S[-1, Infinity]^2)/4 - (1551*S[2, Infinity])/112)*S[5, Infinity] + 
     (271107*S[7, Infinity])/7168 + S[3, Infinity]*
      ((-19*S[-1, Infinity]^4)/192 + (3*S[-1, Infinity]^2*S[2, Infinity])/
        32 - (579*S[2, Infinity]^2)/280 - (5*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/240 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(39*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-113*S[-5, 1, 1, Infinity] + 125*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (128960*S[-7, -1, Infinity] + 15171*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 21760*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 92160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, 1, -1, -1, -3, Infinity] -> 
  (377*S[-1, Infinity]^8)/40320 + (603*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (1508561*S[2, Infinity]^4)/392000 + 
   ((1723*S[-1, Infinity]^2)/448 - (8501*S[2, Infinity])/2688)*
    S[3, Infinity]^2 + S[1, Infinity]^3*
    ((-19*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     (-S[-1, Infinity]^2/16 + S[2, Infinity]/48)*S[3, Infinity] - 
     (5*S[5, Infinity])/16) + ((31*S[-1, Infinity]^3)/128 + 
     (19709*S[-1, Infinity]*S[2, Infinity])/896 + (39807*S[3, Infinity])/
      3584)*S[5, Infinity] - (4049*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((319*S[-1, Infinity]^4)/840 + 
     (99*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-169*S[-1, Infinity]^5)/448 + 
     (649*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (15787*S[-1, Infinity]*S[2, Infinity]^2)/1680 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (249*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-209*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 + 
     (49*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (1091*S[2, Infinity]^3)/
      1120 + (S[-1, Infinity]^3/8 + (3*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (25*S[3, Infinity]^2)/128 + 
     (279*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/96 + (3*S[-1, 1, 1, 1, Infinity])/
        4) - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-7*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/48 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-617*S[-5, -1, Infinity] + 420*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/210 - 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (4383*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-93*S[-1, Infinity]^2)/16 - (6073*S[2, Infinity])/448)*
      S[5, Infinity] + (98855*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/64 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/32 - (235*S[2, Infinity]^2)/
        112 - (15*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-31*S[-5, -1, Infinity] + 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (12*S[-5, 1, 1, Infinity] + 117*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (239360*S[-7, -1, Infinity] + 47153*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 29760*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 89600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, -1, -1, 3, Infinity] -> 
  -S[-1, Infinity]^8/5040 - (103*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (2073747*S[2, Infinity]^4)/784000 + 
   ((-229*S[-1, Infinity]^2)/896 - (265*S[2, Infinity])/84)*
    S[3, Infinity]^2 + ((39*S[-1, Infinity]*S[2, Infinity])/14 + 
     (2245*S[3, Infinity])/448)*S[5, Infinity] - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((149*S[-1, Infinity]^4)/3360 - 
     (569*S[-1, 1, 1, 1, Infinity])/140) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/360 - (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/30 + 
     (-S[-1, Infinity]^2/16 - (11*S[2, Infinity])/48)*S[3, Infinity] + 
     (53*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/3) + 
   S[3, Infinity]*((127*S[-1, Infinity]^5)/5040 + 
     (187*S[-1, Infinity]^3*S[2, Infinity])/1008 + 
     (1543*S[-1, Infinity]*S[2, Infinity]^2)/1344 - 
     S[-1, 1, 1, 1, 1, Infinity]/42) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/720 + (-347*S[-5, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/360 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (199*S[2, Infinity]^3)/560 + 
     (S[-1, Infinity]^3/8 + (3*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (55*S[3, Infinity]^2)/128 + 
     S[2, Infinity]*((5*S[-1, Infinity]^4)/48 - (3*S[-1, 1, 1, 1, Infinity])/
        2) + (9*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*(S[-1, Infinity]^7/840 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (97*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (465*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-527*S[-1, Infinity]^2)/128 - (261*S[2, Infinity])/224)*
      S[5, Infinity] + (4407*S[7, Infinity])/448 - 
     (93*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/32 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/8 + (123*S[2, Infinity]^2)/280 + 
       6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/15 + 
       5*S[-1, 1, 1, 1, 1, Infinity]) + (-93*S[-5, 1, 1, Infinity] + 
       26*S[5, -1, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (142640*S[-7, -1, Infinity] + 13241*S[5, 3, Infinity] + 
     4160*S[-5, -1, -1, -1, Infinity] + 23840*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, 1, 1, -1, 1, -3, Infinity] -> (13*S[-1, Infinity]^8)/4032 - 
   (93*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (11623*S[2, Infinity]^4)/11200 + ((-5*S[-1, Infinity]^2)/24 - 
     (31*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   (331*S[3, Infinity]*S[5, Infinity])/256 + S[2, Infinity]^2*
    ((-9*S[-1, Infinity]^4)/80 - (23*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/24 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (131*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/30 + 
     (S[-1, Infinity]^2/12 + (3*S[2, Infinity])/16)*S[3, Infinity] - 
     (51*S[5, Infinity])/64 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/60 - (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
     (13*S[2, Infinity]^3)/70 + (-S[-1, Infinity]^3/6 - 
       (5*S[-1, Infinity]*S[2, Infinity])/8)*S[3, Infinity] - 
     S[3, Infinity]^2/16 + S[2, Infinity]*(-S[-1, Infinity]^4/48 - 
       S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     5*(-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/2520 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (41*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (11*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-31*S[-1, Infinity]^2)/64 + (23*S[2, Infinity])/16)*S[5, Infinity] - 
     (1647*S[7, Infinity])/256 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 + (11*S[2, Infinity]^2)/8 + 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-S[-5, 1, 1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (5*(-512*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
      128*S[-5, -1, 1, 1, Infinity] - 512*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/256, S[1, 1, 1, -1, 1, 3, Infinity] -> 
  (3*S[-1, Infinity]^8)/448 + (681*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (136919*S[2, Infinity]^4)/56000 + 
   ((659*S[-1, Infinity]^2)/768 - (493*S[2, Infinity])/768)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/384 + 
     (709*S[-1, Infinity]*S[2, Infinity])/128 + (8023*S[3, Infinity])/1536)*
    S[5, Infinity] + (3683*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/160 + 
     (6*S[-1, 1, 1, 1, Infinity])/5) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/90 + (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     (S[-1, Infinity]^2/12 - (7*S[2, Infinity])/96)*S[3, Infinity] - 
     (151*S[5, Infinity])/384 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 - S[-1, 1, 1, 1, 1, Infinity]/3) + 
   S[3, Infinity]*((-397*S[-1, Infinity]^5)/2880 + 
     (161*S[-1, Infinity]^3*S[2, Infinity])/288 + 
     (1927*S[-1, Infinity]*S[2, Infinity]^2)/960 + 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/12 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/24) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-7*S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]^2*
    ((17*S[-1, Infinity]^6)/720 + (11*S[-1, Infinity]^2*S[2, Infinity]^2)/
      20 + (31*S[2, Infinity]^3)/56 + (-S[-1, Infinity]^3/6 + 
       (S[-1, Infinity]*S[2, Infinity])/4)*S[3, Infinity] + 
     (267*S[3, Infinity]^2)/256 - (155*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^4)/48 + S[-1, 1, 1, 1, Infinity]/
        2) - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-11*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-25*S[-5, -1, Infinity] + 32*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-23*S[-1, Infinity]^7)/1260 - 
     (127*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (2573*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (147*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((155*S[-1, Infinity]^2)/128 - (303*S[2, Infinity])/128)*
      S[5, Infinity] - (10271*S[7, Infinity])/1024 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (2*S[2, Infinity]^2)/5 + 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/80 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-15*S[-5, -1, Infinity] + 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
       24*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (12480*S[-7, -1, Infinity] + 5499*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 30720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, 1, 1, 1, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/20160 + (409*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (4399*S[2, Infinity]^4)/2800 + 
   (S[-1, Infinity]^2/8 + (25*S[2, Infinity])/24)*S[3, Infinity]^2 - 
   (111*S[3, Infinity]*S[5, Infinity])/64 + S[1, Infinity]^4*
    (S[-1, Infinity]^4/288 - (S[-1, Infinity]^2*S[2, Infinity])/48 - 
     S[2, Infinity]^2/120 - (S[-1, Infinity]*S[3, Infinity])/32 - 
     S[-1, 1, 1, 1, Infinity]/12) + S[2, Infinity]^2*
    ((-37*S[-1, Infinity]^4)/480 + (11*S[-1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/360 + 
     (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/60 + 
     (S[-1, Infinity]^2/16 + (13*S[2, Infinity])/48)*S[3, Infinity] - 
     (5*S[5, Infinity])/16 + S[-1, 1, 1, 1, 1, Infinity]/3) + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/1440 - 
     (S[-1, Infinity]^3*S[2, Infinity])/144 - 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/96 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/720 + (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
     (93*S[2, Infinity]^3)/280 + (-S[-1, Infinity]^3/16 - 
       (3*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] - 
     S[3, Infinity]^2/4 - S[-5, -1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^4/16 + S[-1, 1, 1, 1, Infinity]) - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/240 + (9*S[-5, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/2520 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (11*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((31*S[-1, Infinity]^2)/16 - (29*S[2, Infinity])/32)*S[5, Infinity] - 
     (501*S[7, Infinity])/128 + 2*S[-1, Infinity]*S[-5, -1, Infinity] + 
     S[3, Infinity]*((65*S[-1, Infinity]^4)/288 - 
       (47*S[-1, Infinity]^2*S[2, Infinity])/48 - S[2, Infinity]^2/60 - 
       (14*S[-1, 1, 1, 1, Infinity])/3) + S[2, Infinity]*
      (S[-1, Infinity]^5/40 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*(S[-5, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, 1, 1, Infinity])) + 
   (-800*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] - 128*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/64, S[1, 1, 1, 1, -1, 3, Infinity] -> 
  (-27*S[-1, Infinity]^8)/4480 - (2703*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (923*S[2, Infinity]^4)/560 + 
   ((-443*S[-1, Infinity]^2)/256 + (287*S[2, Infinity])/768)*
    S[3, Infinity]^2 + (S[1, Infinity]^4*((-19*S[2, Infinity]^2)/240 - 
      (S[-1, Infinity]*S[3, Infinity])/8))/4 + 
   ((-341*S[-1, Infinity]^3)/192 - (719*S[-1, Infinity]*S[2, Infinity])/64 + 
     (235*S[3, Infinity])/192)*S[5, Infinity] + 
   (1433*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/320 - 
     (12*S[-1, 1, 1, 1, Infinity])/5) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-2432*S[-7, -1, Infinity] - 201*S[5, 3, Infinity] - 
     384*S[-5, -1, 1, 1, Infinity] - 640*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/240 - 
     (215*S[-1, Infinity]^3*S[2, Infinity])/144 - 
     (325*S[-1, Infinity]*S[2, Infinity]^2)/96 - 
     (121*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (49*S[-1, 1, 1, 1, 1, Infinity])/24) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     (S[-1, Infinity]^2/16 - (13*S[2, Infinity])/96)*S[3, Infinity] + 
     (47*S[5, Infinity])/48 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/80 - 
     (79*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (691*S[2, Infinity]^3)/
      1120 + (-S[-1, Infinity]^3/16 - (3*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (101*S[3, Infinity]^2)/256 - 
     (31*S[-1, Infinity]*S[5, Infinity])/8 - (3*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*((7*S[-1, Infinity]^4)/96 - (3*S[-1, 1, 1, 1, Infinity])/
        4) + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/360 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (11*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(9*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/2520 + 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (145*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (197*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((403*S[-1, Infinity]^2)/64 + (83*S[2, Infinity])/8)*S[5, Infinity] - 
     (3437*S[7, Infinity])/512 + S[3, Infinity]*(S[-1, Infinity]^4/64 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/32 + (61*S[2, Infinity]^2)/240 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/2 + (-5*S[5, -1, -1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 1, 1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^8/576 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (8387*S[2, Infinity]^4)/
    11200 - (S[1, Infinity]^5*S[3, Infinity])/160 + 
   (S[-1, Infinity]^2/48 - (7*S[2, Infinity])/48)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 + (15*S[-1, Infinity]*S[2, Infinity])/32 + 
     (923*S[3, Infinity])/1280)*S[5, Infinity] + 
   (379*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[1, Infinity]^4*(-S[-1, Infinity]^4/288 + 
     (S[-1, Infinity]^2*S[2, Infinity])/48 + S[2, Infinity]^2/32 + 
     (7*S[-1, Infinity]*S[3, Infinity])/96 + S[-1, 1, 1, 1, Infinity]/12) + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/480 + 
     (7*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/90 - 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     ((-7*S[-1, Infinity]^2)/48 + S[2, Infinity]/48)*S[3, Infinity] + 
     (11*S[5, Infinity])/64 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, 1, 1, 1, 1, Infinity]/3) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/1440 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/144 + 
     (123*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/3) + S[2, Infinity]*
    (-S[-1, Infinity]^6/144 - S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) + (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/72 + (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
     (257*S[2, Infinity]^3)/560 + ((7*S[-1, Infinity]^3)/48 + 
       (7*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] - 
     (3*S[3, Infinity]^2)/16 + (31*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*(S[-1, Infinity]^7/126 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/12 + 
     (33*S[2, Infinity]*S[5, Infinity])/32 + (389*S[7, Infinity])/256 + 
     S[3, Infinity]*((-29*S[-1, Infinity]^4)/288 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/48 + (57*S[2, Infinity]^2)/160 + 
       (2*S[-1, 1, 1, 1, Infinity])/3) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
       S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, 1, Infinity] + (S[-5, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (768*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] + 512*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[1, 1, 1, 1, 1, 3, Infinity] -> 
  -(S[1, Infinity]^4*S[2, Infinity]^2)/240 - (783*S[2, Infinity]^4)/2800 + 
   (S[1, Infinity]^5*S[3, Infinity])/120 + (S[2, Infinity]*S[3, Infinity]^2)/
    12 + S[1, Infinity]^2*((-31*S[2, Infinity]^3)/280 + 
     (5*S[3, Infinity]^2)/12) + S[1, Infinity]^3*
    (-(S[2, Infinity]*S[3, Infinity])/12 + S[5, Infinity]/3) + 
   (28*S[3, Infinity]*S[5, Infinity])/15 + 
   S[1, Infinity]*((-17*S[2, Infinity]^2*S[3, Infinity])/24 + 
     3*S[7, Infinity]), S[1, -2, -1, -1, -1, -1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/13440 - (1931*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (35953*S[2, Infinity]^4)/24500 + 
   ((347*S[-1, Infinity]^2)/224 + (815*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (4875*S[-1, Infinity]*S[2, Infinity])/896 - (1801*S[3, Infinity])/448)*
    S[5, Infinity] + S[2, Infinity]^2*((-569*S[-1, Infinity]^4)/1344 - 
     (193*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-71*S[-1, Infinity]^5)/448 + 
     (S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (3323*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (407*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/160 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-109*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(107*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 + 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (451*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     ((7*S[-1, Infinity]^4)/64 + (45*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (1387*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (1003*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-31*S[-1, Infinity]^2)/4 - (5781*S[2, Infinity])/448)*S[5, Infinity] + 
     (156281*S[7, Infinity])/3584 - (115*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[2, Infinity]*((-23*S[-1, Infinity]^5)/120 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-115*S[-5, 1, 1, Infinity] + 130*S[5, -1, -1, Infinity] + 
       812*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (153920*S[-7, -1, Infinity] - 15643*S[5, 3, Infinity] - 
     28160*S[-5, -1, -1, -1, Infinity] + 41600*S[-5, -1, 1, 1, Infinity] - 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -2, -1, -1, -1, -1, 1, Infinity] -> (-19*S[-1, Infinity]^8)/10080 - 
   (723*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (110451*S[2, Infinity]^4)/98000 + 
   ((23*S[-1, Infinity]^2)/128 + (4223*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (3117*S[-1, Infinity]*S[2, Infinity])/128 + (1425*S[3, Infinity])/1792)*
    S[5, Infinity] - (133743*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-811*S[-1, Infinity]^4)/1344 + 
     (331*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-241*S[-1, Infinity]^5)/6720 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (2051*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (417*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[-1, Infinity]^2*
    (9*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (183*S[-5, -1, Infinity] + 49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]*(10*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((43*S[-1, Infinity]^7)/5040 + 
     (331*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1529*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((7*S[-1, Infinity]^4)/64 + (39*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (215*S[2, Infinity]^2)/64)*S[3, Infinity] + 
     (455*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-775*S[-1, Infinity]^2)/64 - (1389*S[2, Infinity])/64)*
      S[5, Infinity] + (5179*S[7, Infinity])/64 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/60 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - S[-1, Infinity]*
      (7*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (-25*S[-5, 1, 1, Infinity] + 28*S[5, -1, -1, Infinity] + 
       164*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (3*(399360*S[-7, -1, Infinity] + 66043*S[5, 3, Infinity] + 
      64000*S[-5, -1, -1, -1, Infinity] + 21120*S[-5, -1, 1, 1, Infinity] - 
      107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[1, -2, -1, -1, -1, 1, -1, Infinity] -> (33*S[-1, Infinity]^8)/4480 - 
   (767*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (815979*S[2, Infinity]^4)/156800 + 
   ((993*S[-1, Infinity]^2)/256 + (9159*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/128 - 
     (3955*S[-1, Infinity]*S[2, Infinity])/128 + (156435*S[3, Infinity])/
      7168)*S[5, Infinity] - (16959*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/336 + 
     (111*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 - (309*S[-5, -1, Infinity])/28 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-1493*S[-1, Infinity]^5)/6720 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (2363*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (165*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(19*S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] - 82*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/336 + 
     (61*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (3517*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (57*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((155*S[-1, Infinity]^2)/128 + (2637*S[2, Infinity])/128)*
      S[5, Infinity] - (10619*S[7, Infinity])/512 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/4 + (223*S[2, Infinity]^2)/80 + 
       (15*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-29*S[-1, Infinity]^5)/120 + (9*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(19*S[-5, -1, Infinity] + 
        2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (-23*S[-5, 1, 1, Infinity] - 28*S[5, -1, -1, Infinity] + 
       88*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (3*(-46912*S[-7, -1, Infinity] - 11311*S[5, 3, Infinity] - 
      17664*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] + 
      7168*S[-1, 1, 1, 1, Infinity]^2 + 7168*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/7168, S[1, -2, -1, -1, -1, 1, 1, Infinity] -> 
  (149*S[-1, Infinity]^8)/20160 - (81*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (1134647*S[2, Infinity]^4)/784000 + 
   ((111*S[-1, Infinity]^2)/56 + (3739*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-249*S[-1, Infinity]*S[2, Infinity])/14 - 
     (28537*S[3, Infinity])/3584)*S[5, Infinity] + 
   (83*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/1120 - 
     (143*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 - (227*S[-5, -1, Infinity])/28 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-123*S[-1, Infinity]^5)/560 + 
     (349*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1691*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (643*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/315 + 
     (151*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (471*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (2651*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-155*S[-1, Infinity]^2)/64 + (10163*S[2, Infinity])/896)*
      S[5, Infinity] - (108251*S[7, Infinity])/3584 - 
     (46*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 + 
       (63*S[-1, Infinity]^2*S[2, Infinity])/16 + (193*S[2, Infinity]^2)/35 + 
       (15*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-53*S[-1, Infinity]^5)/240 + (9*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-92*S[-5, 1, 1, Infinity] - 57*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-5440*S[-7, -1, Infinity] - 4253*S[5, 3, Infinity] - 
     3320*S[-5, -1, -1, -1, Infinity] + 2480*S[-5, -1, 1, 1, Infinity] + 
     1680*S[-1, 1, 1, 1, Infinity]^2 - 10080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[1, -2, -1, -1, 1, -1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/2520 + (263*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (521929*S[2, Infinity]^4)/156800 + 
   ((6499*S[-1, Infinity]^2)/1792 - (13641*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1333*S[-1, Infinity]^3)/128 - 
     (4253*S[-1, Infinity]*S[2, Infinity])/896 + (203739*S[3, Infinity])/
      7168)*S[5, Infinity] + (14377*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((2*S[-1, Infinity]^4)/21 - 
     (409*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-263*S[-1, Infinity]^5)/1344 + 
     (211*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (6837*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (243*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 - (1287*S[-5, -1, Infinity])/
      56 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-247*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/840 + 
     (143*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (999*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (297*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((93*S[-1, Infinity]^2)/64 + (5661*S[2, Infinity])/448)*S[5, Infinity] - 
     (8601*S[7, Infinity])/448 - (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/
      2 + S[3, Infinity]*((3*S[-1, Infinity]^4)/64 + 
       (117*S[-1, Infinity]^2*S[2, Infinity])/32 + (3873*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/80 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(27*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (3*(13*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity] - 
      40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3*(126272*S[-7, -1, Infinity] + 23313*S[5, 3, Infinity] + 
      15104*S[-5, -1, -1, -1, Infinity] + 18944*S[-5, -1, 1, 1, Infinity] - 
      28672*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/7168, 
 S[1, -2, -1, -1, 1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/960 - 
   (211*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2363213*S[2, Infinity]^4)/784000 + 
   ((465*S[-1, Infinity]^2)/896 + (739*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 - 
     (2283*S[-1, Infinity]*S[2, Infinity])/112 - (6221*S[3, Infinity])/1792)*
    S[5, Infinity] + (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-247*S[-1, Infinity]^4)/1680 - 
     (1343*S[-1, 1, 1, 1, Infinity])/280) + 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/3360 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2691*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (275*S[-1, 1, 1, 1, 1, Infinity])/56) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((73*S[-1, Infinity]^6)/1440 - (439*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((89*S[-1, Infinity]^7)/5040 + 
     (133*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (881*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (3247*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-899*S[-1, Infinity]^2)/128 + (1517*S[2, Infinity])/448)*
      S[5, Infinity] + (31831*S[7, Infinity])/3584 - 
     (155*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/64 + 
       (45*S[-1, Infinity]^2*S[2, Infinity])/32 + (2627*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-155*S[-5, 1, 1, Infinity] + 48*S[5, -1, -1, Infinity] + 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-269760*S[-7, -1, Infinity] - 39029*S[5, 3, Infinity] - 
     87040*S[-5, -1, -1, -1, Infinity] + 73600*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 125440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -2, -1, -1, 1, 1, -1, Infinity] -> 
  (-439*S[-1, Infinity]^8)/40320 - (235*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (524519*S[2, Infinity]^4)/784000 + 
   ((285*S[-1, Infinity]^2)/224 + (1093*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/64 - 
     (8031*S[-1, Infinity]*S[2, Infinity])/896 - (22123*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((-283*S[-1, Infinity]^4)/672 - 
     (13*S[-1, 1, 1, 1, Infinity])/140) + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/6720 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (5729*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (557*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/720 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (275*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((101*S[-1, Infinity]^7)/5040 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (641*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-899*S[-1, Infinity]^2)/128 - (12357*S[2, Infinity])/896)*
      S[5, Infinity] + (205283*S[7, Infinity])/3584 - 
     (22*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/48 - 
       (43*S[-1, Infinity]^2*S[2, Infinity])/16 - (3811*S[2, Infinity]^2)/
        1120 - (23*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-22*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
       175*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-584320*S[-7, -1, Infinity] - 76693*S[5, 3, Infinity] - 
     66560*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -2, -1, -1, 1, 1, 1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/5760 - (71*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (855987*S[2, Infinity]^4)/784000 + 
   ((1229*S[-1, Infinity]^2)/896 - (1667*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (6833*S[-1, Infinity]*S[2, Infinity])/896 + (7419*S[3, Infinity])/896)*
    S[5, Infinity] + (5997*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-193*S[-1, Infinity]^4)/560 - 
     (9*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((173*S[-1, Infinity]^5)/6720 + 
     (S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (741*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-27*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((79*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (83*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((7*S[-1, Infinity]^7)/360 + 
     (79*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (2057*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (1277*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-217*S[-1, Infinity]^2)/128 - (12245*S[2, Infinity])/896)*
      S[5, Infinity] + (20413*S[7, Infinity])/448 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (1641*S[2, Infinity]^2)/
        1120 + S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 + S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-30*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity] + 
       294*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (74880*S[-7, -1, Infinity] + 38021*S[5, 3, Infinity] + 
     69120*S[-5, -1, -1, -1, Infinity] - 33280*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -2, -1, 1, -1, -1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/4480 - (573*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1734753*S[2, Infinity]^4)/784000 + 
   ((-505*S[-1, Infinity]^2)/448 + (13485*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 - 
     (16139*S[-1, Infinity]*S[2, Infinity])/896 - (151887*S[3, Infinity])/
      7168)*S[5, Infinity] + (62277*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((137*S[-1, Infinity]^4)/420 + 
     (69*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((127*S[-1, Infinity]^5)/560 - 
     (325*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (44579*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (241*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((79*S[-1, Infinity]^6)/1440 + (180*S[-5, -1, Infinity])/
      7 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(31*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/5040 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (3733*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (825*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-279*S[-1, Infinity]^2)/64 - (2025*S[2, Infinity])/112)*
      S[5, Infinity] + (228657*S[7, Infinity])/7168 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/192 - 
       (145*S[-1, Infinity]^2*S[2, Infinity])/32 - (2929*S[2, Infinity]^2)/
        1120 - (13*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((41*S[-1, Infinity]^5)/120 - 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(-9*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (3*(15*S[-5, 1, 1, Infinity] + 57*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(794560*S[-7, -1, Infinity] + 129789*S[5, 3, Infinity] + 
      70400*S[-5, -1, -1, -1, Infinity] + 108800*S[-5, -1, 1, 1, Infinity] + 
      35840*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, -2, -1, 1, -1, -1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/4032 - (1129*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (43079*S[2, Infinity]^4)/78400 + 
   ((333*S[-1, Infinity]^2)/224 + (2357*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 - 
     (31671*S[-1, Infinity]*S[2, Infinity])/896 - (34421*S[3, Infinity])/
      3584)*S[5, Infinity] + (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((241*S[-1, Infinity]^4)/1120 + 
     (143*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((69*S[-1, Infinity]^5)/448 - 
     (345*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (3975*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (1035*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/1440 + (229*S[-5, -1, Infinity])/
      14 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[-1, Infinity]^7/180 - 
     (21*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     ((-93*S[-1, Infinity]^2)/32 - (1649*S[2, Infinity])/128)*
      S[5, Infinity] + (20781*S[7, Infinity])/512 + 
     2*S[-1, Infinity]*S[-5, -1, Infinity] + 2*S[-5, 1, 1, Infinity] + 
     5*S[5, -1, -1, Infinity] + S[3, Infinity]*((29*S[-1, Infinity]^4)/192 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/8 - (1021*S[2, Infinity]^2)/
        320 - (29*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/48 - 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-133120*S[-7, -1, Infinity] - 19765*S[5, 3, Infinity] - 
     18944*S[-5, -1, -1, -1, Infinity] - 7936*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2 + 60928*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, -2, -1, 1, -1, 1, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/4480 - (219*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (55303*S[2, Infinity]^4)/98000 + ((3231*S[-1, Infinity]^2)/1792 + 
     (15727*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-403*S[-1, Infinity]^3)/128 - (20373*S[-1, Infinity]*S[2, Infinity])/
      896 - (147137*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((1591*S[-1, Infinity]^4)/3360 + 
     (131*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((671*S[-1, Infinity]^5)/6720 - 
     (671*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (38189*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (671*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-19*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (367*S[-5, -1, Infinity] + 126*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 - 
     (73*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (95*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((527*S[-1, Infinity]^2)/128 + (255*S[2, Infinity])/56)*S[5, Infinity] - 
     (45419*S[7, Infinity])/3584 + (19*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[3, Infinity]*(S[-1, Infinity]^4/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 + (5*S[2, Infinity]^2)/56 - 
       S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (19*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1638720*S[-7, -1, Infinity] - 325741*S[5, 3, Infinity] - 
     280320*S[-5, -1, -1, -1, Infinity] - 158720*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, -1, 1, -1, 1, 1, Infinity] -> (13*S[-1, Infinity]^8)/5040 - 
   (1691*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (154827*S[2, Infinity]^4)/784000 + 
   ((701*S[-1, Infinity]^2)/448 + (319*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/16 + 
     (79*S[-1, Infinity]*S[2, Infinity])/56 - (80513*S[3, Infinity])/7168)*
    S[5, Infinity] + (49709*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((929*S[-1, Infinity]^4)/1680 + 
     (81*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/1344 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (12961*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (135*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (137*S[-5, -1, Infinity] - 63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-173*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-23*S[-1, Infinity]^7)/5040 - 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (263*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (997*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((217*S[-1, Infinity]^2)/32 + (1621*S[2, Infinity])/448)*
      S[5, Infinity] - (140547*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (1139*S[2, Infinity]^2)/
        1120 + (7*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/120 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-29*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (51*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 45*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-228160*S[-7, -1, Infinity] - 88663*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 112640*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, -1, 1, 1, -1, -1, Infinity] -> (13*S[-1, Infinity]^8)/6720 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (748771*S[2, Infinity]^4)/
    392000 + ((709*S[-1, Infinity]^2)/896 - (43*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 - 
     (509*S[-1, Infinity]*S[2, Infinity])/448 - (7249*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((-155*S[-1, Infinity]^4)/672 - 
     (23*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-281*S[-1, Infinity]^5)/6720 + 
     (281*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (97*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (281*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-93*S[-5, -1, Infinity] + 35*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/5040 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (109*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (115*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((589*S[-1, Infinity]^2)/64 + (3833*S[2, Infinity])/224)*
      S[5, Infinity] - (155107*S[7, Infinity])/3584 + 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (73*S[-1, Infinity]^2*S[2, Infinity])/32 + (2789*S[2, Infinity]^2)/
        1120 + (5*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-41*S[-1, Infinity]^5)/240 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (23*S[-5, 1, 1, Infinity] - 75*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (105120*S[-7, -1, Infinity] + 8761*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 161280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -2, -1, 1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/1680 - (1753*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (350151*S[2, Infinity]^4)/156800 + 
   ((1321*S[-1, Infinity]^2)/1792 - (423*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-713*S[-1, Infinity]^3)/384 + 
     (789*S[-1, Infinity]*S[2, Infinity])/896 + (13813*S[3, Infinity])/1792)*
    S[5, Infinity] - (129177*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/560 - 
     (6*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/1344 + 
     (215*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3557*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (215*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-52*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-26*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1260 - 
     (89*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (4129*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (2837*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((1209*S[-1, Infinity]^2)/128 + (15235*S[2, Infinity])/896)*
      S[5, Infinity] - (181037*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/96 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/8 + (4461*S[2, Infinity]^2)/
        2240 + (5*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/8 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (20*S[-5, 1, 1, Infinity] - 183*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (4624*S[-7, -1, Infinity] + 905*S[5, 3, Infinity] + 
     288*S[-5, -1, -1, -1, Infinity] + 832*S[-5, -1, 1, 1, Infinity] + 
     224*S[-1, 1, 1, 1, Infinity]^2 - 2240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/448, S[1, -2, -1, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/384 + (2707*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (223287*S[2, Infinity]^4)/784000 + 
   ((-2295*S[-1, Infinity]^2)/1792 + (1209*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2509*S[-1, Infinity]*S[2, Infinity])/448 + 
     (12339*S[3, Infinity])/1792)*S[5, Infinity] - 
   (6945*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((101*S[-1, Infinity]^4)/1344 - 
     (81*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/360 + (453*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((419*S[-1, Infinity]^5)/3360 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (10777*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (87*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(22*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/2520 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (1601*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (663*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((279*S[-1, Infinity]^2)/128 + (5233*S[2, Infinity])/896)*
      S[5, Infinity] - (7599*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 + (227*S[2, Infinity]^2)/
        560 - S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*
      ((19*S[-1, Infinity]^5)/240 - (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-2*S[-5, -1, Infinity] + 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (8*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] + 
       252*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-315360*S[-7, -1, Infinity] - 26283*S[5, 3, Infinity] - 
     5760*S[-5, -1, -1, -1, Infinity] - 27840*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -2, -1, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/40320 + (147*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (399409*S[2, Infinity]^4)/392000 + 
   ((477*S[-1, Infinity]^2)/1792 + (3853*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-159*S[-1, Infinity]*S[2, Infinity])/28 - 
     (5629*S[3, Infinity])/7168)*S[5, Infinity] + 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + (313*S[-5, -1, Infinity])/56) + 
   S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/6720 + 
     (11*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((53*S[-1, Infinity]^5)/2240 - (53*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (9381*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (159*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1680 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (43*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((279*S[-1, Infinity]^2)/128 + (1943*S[2, Infinity])/896)*
      S[5, Infinity] - (28107*S[7, Infinity])/3584 + 
     (43*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (283*S[2, Infinity]^2)/560 - 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/80 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-981440*S[-7, -1, Infinity] - 147377*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, 1, -1, -1, -1, -1, Infinity] -> (41*S[-1, Infinity]^8)/4032 + 
   (431*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1598061*S[2, Infinity]^4)/784000 + 
   ((-11*S[-1, Infinity]^2)/448 - (3411*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/384 + 
     (10015*S[-1, Infinity]*S[2, Infinity])/896 - (60701*S[3, Infinity])/
      7168)*S[5, Infinity] + (116759*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*(94400*S[-7, -1, Infinity] + 22217*S[5, 3, Infinity] + 
      32000*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity]))/
    35840 + S[2, Infinity]^2*((1103*S[-1, Infinity]^4)/6720 + 
     (27*S[-1, 1, 1, 1, Infinity])/70) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/3360 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2473*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (34*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/720 + (195*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-95*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/1008 - 
     (199*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (1501*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (4751*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((961*S[-1, Infinity]^2)/128 + (2097*S[2, Infinity])/896)*
      S[5, Infinity] - (3119*S[7, Infinity])/112 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (39*S[-1, Infinity]^2*S[2, Infinity])/8 - (743*S[2, Infinity]^2)/
        1120 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((89*S[-1, Infinity]^5)/240 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-109*S[-5, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (197*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
       868*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(47*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, -2, 1, -1, -1, -1, 1, Infinity] -> (39*S[-1, Infinity]^8)/2240 + 
   (341*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (198567*S[2, Infinity]^4)/56000 + 
   ((-27*S[-1, Infinity]^2)/128 - (3*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((341*S[-1, Infinity]^3)/384 + (917*S[-1, Infinity]*S[2, Infinity])/128 + 
     (2723*S[3, Infinity])/512)*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((161*S[-1, Infinity]^4)/960 + 
     (93*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/960 - (7*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (379*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/96 + (99*S[-5, -1, Infinity])/8 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/60 - 
     (67*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (3663*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (375*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((775*S[-1, Infinity]^2)/128 - (2675*S[2, Infinity])/448)*
      S[5, Infinity] - (82857*S[7, Infinity])/7168 + 
     (75*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 - 
       (81*S[-1, Infinity]^2*S[2, Infinity])/32 - (1063*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/16 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (150*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
       588*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2780*S[-7, -1, Infinity] - 143*S[5, 3, Infinity] + 
     240*S[-5, -1, -1, -1, Infinity] - 840*S[-5, -1, 1, 1, Infinity] + 
     720*S[-1, 1, 1, 1, Infinity]^2 + 3040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/160, S[1, -2, 1, -1, -1, 1, -1, Infinity] -> 
  (611*S[-1, Infinity]^8)/40320 + (453*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (96689*S[2, Infinity]^4)/156800 + 
   ((-333*S[-1, Infinity]^2)/1792 - (10253*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((899*S[-1, Infinity]^3)/384 + 
     (8279*S[-1, Infinity]*S[2, Infinity])/448 + (54527*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((169*S[-1, Infinity]^4)/280 - 
     (13*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-177*S[-1, Infinity]^5)/2240 + 
     (177*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (31329*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (531*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(47*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-79*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-727*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/420 - 
     (63*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (141*S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((837*S[-1, Infinity]^2)/64 + (8607*S[2, Infinity])/448)*
      S[5, Infinity] - (565965*S[7, Infinity])/7168 + 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/64 + 
       (33*S[-1, Infinity]^2*S[2, Infinity])/32 + (501*S[2, Infinity]^2)/
        112 + (33*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/20 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (15*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(52*S[-5, 1, 1, Infinity] - 95*S[5, -1, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (337600*S[-7, -1, Infinity] + 48547*S[5, 3, Infinity] + 
     45312*S[-5, -1, -1, -1, Infinity] + 22784*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 114688*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -2, 1, -1, -1, 1, 1, Infinity] -> 
  (73*S[-1, Infinity]^8)/5760 + (2211*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1442991*S[2, Infinity]^4)/784000 + 
   ((-25*S[-1, Infinity]^2)/128 - (9067*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/24 + 
     (2139*S[-1, Infinity]*S[2, Infinity])/128 - (6059*S[3, Infinity])/7168)*
    S[5, Infinity] - (12127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((647*S[-1, Infinity]^4)/1120 - 
     (37*S[-1, 1, 1, 1, Infinity])/140) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-383*S[-1, Infinity]^5)/2240 + 
     (271*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (4157*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (309*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-131*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(-67*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-39*S[-5, -1, Infinity] + 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^7)/112 - 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (157*S[-1, Infinity]*S[2, Infinity]^3)/28 - 
     (6357*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((1147*S[-1, Infinity]^2)/128 + (19759*S[2, Infinity])/896)*
      S[5, Infinity] - (276919*S[7, Infinity])/3584 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/64 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (2293*S[2, Infinity]^2)/
        1120 + (9*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((73*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-241*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (68*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] - 
       560*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] + 99*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1654080*S[-7, -1, Infinity] + 239789*S[5, 3, Infinity] + 
     131840*S[-5, -1, -1, -1, Infinity] + 154880*S[-5, -1, 1, 1, Infinity] - 
     896000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -2, 1, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/13440 + 
   (1529*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (656503*S[2, Infinity]^4)/392000 + 
   ((-1063*S[-1, Infinity]^2)/896 - (11799*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 + 
     (34393*S[-1, Infinity]*S[2, Infinity])/896 + (72295*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((-443*S[-1, Infinity]^4)/1120 - (137*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-349*S[-1, Infinity]^5)/2240 + 
     (349*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (31149*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (1047*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-227*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/288 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-456*S[-5, -1, Infinity] + 35*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/5040 - 
     (83*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (2047*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-3*S[-1, Infinity]^2*S[2, Infinity])/32 + (283*S[2, Infinity]^2)/224)*
      S[3, Infinity] - (485*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((961*S[-1, Infinity]^2)/128 + (5941*S[2, Infinity])/448)*
      S[5, Infinity] - (281851*S[7, Infinity])/7168 + 
     (97*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/120 + S[-1, 1, 1, 1, 1, Infinity]/
        2) + (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (97*S[-5, 1, 1, Infinity] - 127*S[5, -1, -1, Infinity] - 
       560*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1867840*S[-7, -1, Infinity] + 315617*S[5, 3, Infinity] + 
     227840*S[-5, -1, -1, -1, Infinity] + 175360*S[-5, -1, 1, 1, Infinity] - 
     555520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -2, 1, -1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/2520 + 
   (3123*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (93501*S[2, Infinity]^4)/196000 + ((-6029*S[-1, Infinity]^2)/1792 - 
     (7163*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((2573*S[-1, Infinity]^3)/384 + (14419*S[-1, Infinity]*S[2, Infinity])/
      448 + (16127*S[3, Infinity])/896)*S[5, Infinity] - 
   (191013*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*(273600*S[-7, -1, Infinity] + 54571*S[5, 3, Infinity] + 
      40960*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity]))/
    17920 + S[2, Infinity]^2*((-761*S[-1, Infinity]^4)/1680 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-583*S[-1, Infinity]^5)/6720 + 
     (583*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (19517*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (583*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-407*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-109*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/630 - 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (969*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (529*S[2, Infinity]^2*S[3, Infinity])/2240 - 
     (1621*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((31*S[-1, Infinity]^2)/32 + (439*S[2, Infinity])/224)*S[5, Infinity] - 
     (45419*S[7, Infinity])/3584 + S[2, Infinity]*(-S[-1, Infinity]^5/20 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-103*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (19*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, -2, 1, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/8064 + 
   (197*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (1680541*S[2, Infinity]^4)/784000 + 
   ((-4503*S[-1, Infinity]^2)/1792 - (507*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/32 + 
     (5403*S[-1, Infinity]*S[2, Infinity])/448 + (10329*S[3, Infinity])/1792)*
    S[5, Infinity] - (17423*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + (53*S[-5, -1, Infinity])/56) + 
   S[2, Infinity]^2*((-113*S[-1, Infinity]^4)/3360 + 
     (9*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    (S[-1, Infinity]^5/112 - (5*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (2899*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/504 + 
     (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (643*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (1905*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-403*S[-1, Infinity]^2)/64 - (6859*S[2, Infinity])/448)*
      S[5, Infinity] + (42227*S[7, Infinity])/1792 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 - 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 - (101*S[2, Infinity]^2)/56 - 
       (5*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]*(-8*S[-5, -1, Infinity] + 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-19*S[-5, 1, 1, Infinity] + 72*S[5, -1, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-7*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-72640*S[-7, -1, Infinity] + 1249*S[5, 3, Infinity] + 
     7040*S[-5, -1, -1, -1, Infinity] - 4800*S[-5, -1, 1, 1, Infinity] + 
     224000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, -2, 1, -1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/10080 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (501*S[2, Infinity]^4)/1568 + ((-1125*S[-1, Infinity]^2)/1792 - 
     (8597*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((375*S[-1, Infinity]*S[2, Infinity])/28 + (69893*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/360 - 
     (585*S[-5, -1, Infinity])/56) - 
   (125*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-57*S[-1, Infinity]^4)/560 - 
     (41*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-319*S[-1, Infinity]^5)/6720 + (319*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (26941*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (319*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/560 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (37*S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-93*S[-1, Infinity]^2)/64 - (2533*S[2, Infinity])/448)*
      S[5, Infinity] + (46947*S[7, Infinity])/7168 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 - 
       (29*S[-1, Infinity]^2*S[2, Infinity])/32 - (151*S[2, Infinity]^2)/
        140 - (5*S[-1, 1, 1, 1, Infinity])/8) + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (11*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] - 
       252*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (251200*S[-7, -1, Infinity] + 47081*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 23552*S[-5, -1, 1, 1, Infinity] + 
     28672*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, -2, 1, 1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^8/384 - 
   (277*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1021971*S[2, Infinity]^4)/784000 + 
   ((409*S[-1, Infinity]^2)/896 + (1703*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 - 
     (3385*S[-1, Infinity]*S[2, Infinity])/448 - (3519*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((-1597*S[-1, Infinity]^4)/6720 - 
     (209*S[-1, 1, 1, 1, Infinity])/280) + 
   (-30480*S[-7, -1, Infinity] - 7827*S[5, 3, Infinity] - 
     10560*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-313*S[-1, Infinity]^5)/6720 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1853*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((19*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(129*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/126 + 
     (163*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1937*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (701*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-899*S[-1, Infinity]^2)/128 - (7755*S[2, Infinity])/896)*
      S[5, Infinity] + (154353*S[7, Infinity])/3584 - 
     (75*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((9*S[-1, Infinity]^4)/64 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 - (4449*S[2, Infinity]^2)/
        2240 - (5*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-75*S[-5, 1, 1, Infinity] + 142*S[5, -1, -1, Infinity] + 
       644*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, -2, 1, 1, -1, -1, 1, Infinity] -> (-89*S[-1, Infinity]^8)/40320 - 
   (66*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (681851*S[2, Infinity]^4)/
    784000 + ((297*S[-1, Infinity]^2)/896 + (7389*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/192 - 
     (4461*S[-1, Infinity]*S[2, Infinity])/224 + (1537*S[3, Infinity])/1792)*
    S[5, Infinity] - (53251*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-2543*S[-1, Infinity]^4)/6720 + 
     (261*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/6720 - 
     (275*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1809*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (445*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(45*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (697*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((7*S[-1, Infinity]^7)/720 + 
     (137*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (327*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (79*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-1085*S[-1, Infinity]^2)/128 - (2543*S[2, Infinity])/128)*
      S[5, Infinity] + (37265*S[7, Infinity])/512 + 
     S[3, Infinity]*((9*S[-1, Infinity]^4)/64 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/32 - (1171*S[2, Infinity]^2)/
        320 - (5*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-43*S[-1, Infinity]^5)/240 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - S[-1, Infinity]*
      (5*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (-11*S[-5, 1, 1, Infinity] + 26*S[5, -1, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-292240*S[-7, -1, Infinity] - 45803*S[5, 3, Infinity] - 
     36800*S[-5, -1, -1, -1, Infinity] - 16960*S[-5, -1, 1, 1, Infinity] + 
     138880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, -2, 1, 1, -1, 1, -1, Infinity] -> (71*S[-1, Infinity]^8)/10080 - 
   (1829*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (68839*S[2, Infinity]^4)/196000 + ((2113*S[-1, Infinity]^2)/1792 + 
     (19031*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/128 - (22793*S[-1, Infinity]*S[2, Infinity])/
      896 - (55591*S[3, Infinity])/7168)*S[5, Infinity] - 
   (10837*S[-1, Infinity]*S[7, Infinity])/448 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((1481*S[-1, Infinity]^4)/6720 + 
     (223*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    ((-19*S[-1, Infinity]^6)/288 + (853*S[-5, -1, Infinity])/56 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-491*S[-1, Infinity]^5)/6720 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (7403*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (55*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(90*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 66*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/560 + 
     (251*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1391*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (1587*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-155*S[-1, Infinity]^2)/32 - (323*S[2, Infinity])/112)*
      S[5, Infinity] + (3873*S[7, Infinity])/224 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 + 
       (57*S[-1, Infinity]^2*S[2, Infinity])/32 - (381*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/4) + S[2, Infinity]*
      ((-19*S[-1, Infinity]^5)/240 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(121*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-57*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-2480960*S[-7, -1, Infinity] - 461891*S[5, 3, Infinity] - 
     387840*S[-5, -1, -1, -1, Infinity] - 140800*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, 1, 1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/224 - (759*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (91513*S[2, Infinity]^4)/112000 + 
   ((65*S[-1, Infinity]^2)/64 + (505*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-27*S[-1, Infinity]*S[2, Infinity])/2 - (661*S[3, Infinity])/64)*
    S[5, Infinity] + (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((203*S[-1, Infinity]^4)/960 - 
     (5*S[-1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/144 + (13*S[-5, -1, Infinity])/8 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/16 - (S[-1, Infinity]^3*S[2, Infinity])/
      32 - (1921*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/8) + S[1, Infinity]*
    (-S[-1, Infinity]^7/504 + (19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (61*S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     (1437*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-217*S[-1, Infinity]^2)/128 + (6357*S[2, Infinity])/896)*
      S[5, Infinity] - (3091*S[7, Infinity])/448 - 
     (89*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/64 + 
       (71*S[-1, Infinity]^2*S[2, Infinity])/32 + (5799*S[2, Infinity]^2)/
        2240 + 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/240 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-89*S[-5, 1, 1, Infinity] - 40*S[5, -1, -1, Infinity] + 
       280*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-21280*S[-7, -1, Infinity] - 7157*S[5, 3, Infinity] - 
     5760*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2 - 6400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[1, -2, 1, 1, 1, -1, -1, Infinity] -> 
  (37*S[-1, Infinity]^8)/5040 + (249*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (653633*S[2, Infinity]^4)/784000 + 
   ((1999*S[-1, Infinity]^2)/1792 - (5919*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-589*S[-1, Infinity]^3)/384 + 
     (6857*S[-1, Infinity]*S[2, Infinity])/896 + (4241*S[3, Infinity])/7168)*
    S[5, Infinity] + (47861*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((911*S[-1, Infinity]^4)/6720 + 
     (34*S[-1, 1, 1, 1, Infinity])/35) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-311*S[-1, Infinity]^5)/2240 + 
     (337*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (16453*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (53*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 - (387*S[-5, -1, Infinity])/
      56 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/126 - 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (841*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (811*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((403*S[-1, Infinity]^2)/128 + (5919*S[2, Infinity])/896)*
      S[5, Infinity] - (49225*S[7, Infinity])/1792 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 - 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (993*S[2, Infinity]^2)/1120 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-43*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (29*S[-5, 1, 1, Infinity] - 62*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1048000*S[-7, -1, Infinity] + 157837*S[5, 3, Infinity] + 
     111360*S[-5, -1, -1, -1, Infinity] + 76800*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 680960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -2, 1, 1, 1, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/1920 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + 
   (115401*S[2, Infinity]^4)/196000 + 
   ((-73*S[-1, Infinity]^2)/224 - (1275*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 + 
     (2809*S[-1, Infinity]*S[2, Infinity])/448 + (5045*S[3, Infinity])/3584)*
    S[5, Infinity] - (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((529*S[-1, Infinity]^4)/6720 - 
     (9*S[-1, 1, 1, 1, Infinity])/140) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (3*(23680*S[-7, -1, Infinity] + 9859*S[5, 3, Infinity] + 
      11520*S[-5, -1, -1, -1, Infinity] - 7040*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2))/17920 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-137*S[-1, Infinity]^5)/3360 + 
     (239*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1917*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/720 + (111*S[-5, -1, Infinity])/
      56 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-29*S[-1, Infinity]^7)/5040 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (107*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((93*S[-1, Infinity]^2)/64 + (189*S[2, Infinity])/64)*S[5, Infinity] - 
     (7227*S[7, Infinity])/512 + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/
      6 + S[3, Infinity]*(-S[-1, Infinity]^4/16 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (247*S[2, Infinity]^2)/160 + 
       (19*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/120 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*(-S[5, -1, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[1, -2, 1, 1, 1, 1, -1, Infinity] -> (5*S[-1, Infinity]^8)/2016 - 
   (101*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (313*S[2, Infinity]^4)/800 + (S[-1, Infinity]^2/8 + (3*S[2, Infinity])/8)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 - 
     (31*S[-1, Infinity]*S[2, Infinity])/64 - (295*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/120 - 
     S[-1, 1, 1, 1, Infinity]/4) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/320 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (11*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/5040 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (47*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-31*S[-1, Infinity]^2)/64 - (95*S[2, Infinity])/64)*S[5, Infinity] + 
     (2441*S[7, Infinity])/512 + S[3, Infinity]*(S[-1, Infinity]^4/32 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (3*S[2, Infinity]^2)/40 + 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[5, -1, -1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-704*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] - 64*S[-1, 1, 1, 1, Infinity]^2 + 
     640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/128, 
 S[1, -2, 1, 1, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/384 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (2719*S[2, Infinity]^4)/
    11200 + ((3*S[-1, Infinity]^2)/4 - S[2, Infinity]/4)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 - (S[-1, Infinity]*S[2, Infinity])/2 - 
     (57*S[3, Infinity])/128)*S[5, Infinity] + 
   (379*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/480 - S[-1, 1, 1, 1, Infinity]/
      20) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/960 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (67*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 - 
     (47*S[2, Infinity]*S[5, Infinity])/32 + (1683*S[7, Infinity])/512 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (4*S[2, Infinity]^2)/5 - 
       (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/30 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] - 
        2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (768*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 128*S[-1, 1, 1, 1, Infinity]^2 - 
     1024*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[1, 2, -1, -1, -1, -1, -1, Infinity] -> (361*S[-1, Infinity]^8)/20160 + 
   (821*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1181013*S[2, Infinity]^4)/784000 + 
   ((173*S[-1, Infinity]^2)/64 - (733*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/64 + (481*S[-1, Infinity]*S[2, Infinity])/64 - 
     (783*S[3, Infinity])/896)*S[5, Infinity] + 
   (18735*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((307*S[-1, Infinity]^4)/840 + 
     (501*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-769*S[-1, Infinity]^5)/3360 + 
     (177*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (977*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/720 - (33*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-25*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-47*S[-1, Infinity]^7)/2520 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (1867*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (317*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((31*S[-1, Infinity]^2)/4 + (375*S[2, Infinity])/32)*S[5, Infinity] - 
     (793*S[7, Infinity])/16 + S[3, Infinity]*(S[-1, Infinity]^4/32 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 + (119*S[2, Infinity]^2)/
        160 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((23*S[-1, Infinity]^5)/120 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-19*S[-5, -1, Infinity] - 
        12*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     4*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(3040*S[-7, -1, Infinity] + 631*S[5, 3, Infinity] + 
      480*S[-5, -1, -1, -1, Infinity] + 80*S[-5, -1, 1, 1, Infinity] + 
      3360*S[-1, 1, 1, 1, Infinity]^2 + 2240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/2240, S[1, 2, -1, -1, -1, -1, 1, Infinity] -> 
  (233*S[-1, Infinity]^8)/13440 + (391*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1507329*S[2, Infinity]^4)/784000 + 
   ((-223*S[-1, Infinity]^2)/896 + (521*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 + 
     (795*S[-1, Infinity]*S[2, Infinity])/224 + (6905*S[3, Infinity])/1792)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((641*S[-1, Infinity]^4)/1680 + 
     (111*S[-1, 1, 1, 1, Infinity])/140) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/224 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1273*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/240 + (549*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-83*S[-1, Infinity]^7)/5040 - 
     (113*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (89*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((403*S[-1, Infinity]^2)/64 + (6577*S[2, Infinity])/448)*
      S[5, Infinity] - (158897*S[7, Infinity])/3584 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (1819*S[2, Infinity]^2)/560 + 
       (21*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((19*S[-1, Infinity]^5)/120 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2) + (22*S[-5, 1, 1, Infinity] - 
       69*S[5, -1, -1, Infinity] - 308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 197120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 2, -1, -1, -1, 1, -1, Infinity] -> 
  (47*S[-1, Infinity]^8)/10080 + (69*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (886861*S[2, Infinity]^4)/392000 + 
   ((-4607*S[-1, Infinity]^2)/1792 - (16159*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 + 
     (17919*S[-1, Infinity]*S[2, Infinity])/896 + (141751*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((1031*S[-1, Infinity]^4)/2240 - (313*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1283*S[-1, Infinity]^5)/6720 - 
     (499*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3181*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (285*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(59*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-859*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-131*S[-1, Infinity]^7)/5040 - 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (689*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (295*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((2077*S[-1, Infinity]^2)/128 + (23715*S[2, Infinity])/896)*
      S[5, Infinity] - (126299*S[7, Infinity])/1792 + 
     (59*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*(S[-1, Infinity]^4/64 - 
       (135*S[-1, Infinity]^2*S[2, Infinity])/32 + (2993*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/24 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (118*S[-5, 1, 1, Infinity] - 127*S[5, -1, -1, Infinity] - 
       518*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1760960*S[-7, -1, Infinity] + 392153*S[5, 3, Infinity] + 
     264960*S[-5, -1, -1, -1, Infinity] + 129280*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 465920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, -1, -1, -1, 1, 1, Infinity] -> 
  (193*S[-1, Infinity]^8)/40320 + (297*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (860707*S[2, Infinity]^4)/392000 + 
   ((-363*S[-1, Infinity]^2)/224 - (3973*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((713*S[-1, Infinity]^3)/128 + 
     (4713*S[-1, Infinity]*S[2, Infinity])/224 - (4365*S[3, Infinity])/1792)*
    S[5, Infinity] - (13481*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((3593*S[-1, Infinity]^4)/6720 - 
     (659*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((173*S[-1, Infinity]^5)/3360 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (883*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (191*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-823*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-97*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-67*S[-1, Infinity]^7)/2520 - 
     (89*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (3579*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (655*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((775*S[-1, Infinity]^2)/64 + (1719*S[2, Infinity])/128)*
      S[5, Infinity] - (14191*S[7, Infinity])/256 + 
     S[3, Infinity]*((9*S[-1, Infinity]^4)/64 - 
       (117*S[-1, Infinity]^2*S[2, Infinity])/32 + (151*S[2, Infinity]^2)/
        320 - (27*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((37*S[-1, Infinity]^5)/80 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]*(-13*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
        Infinity]) + (37*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity] - 
       164*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 142*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (209920*S[-7, -1, Infinity] + 22507*S[5, 3, Infinity] + 
     14400*S[-5, -1, -1, -1, Infinity] + 28160*S[-5, -1, 1, 1, Infinity] - 
     20160*S[-1, 1, 1, 1, Infinity]^2 - 98560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 2, -1, -1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/384 + (39*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (231309*S[2, Infinity]^4)/392000 + 
   ((-6515*S[-1, Infinity]^2)/1792 - (28323*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (43479*S[-1, Infinity]*S[2, Infinity])/896 + (130933*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-527*S[-1, Infinity]^4)/1120 - (317*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-277*S[-1, Infinity]^5)/6720 + 
     (473*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (49173*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (375*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-419*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-949*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-521*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (283*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (225*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((93*S[-1, Infinity]^2)/128 + (255*S[2, Infinity])/896)*S[5, Infinity] - 
     (49635*S[7, Infinity])/3584 + (45*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[3, Infinity]*((5*S[-1, Infinity]^4)/64 - 
       (141*S[-1, Infinity]^2*S[2, Infinity])/32 - (3099*S[2, Infinity]^2)/
        2240 - (15*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/80 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(15*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        98*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (3083840*S[-7, -1, Infinity] + 627167*S[5, 3, Infinity] + 
     536320*S[-5, -1, -1, -1, Infinity] + 135680*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 1003520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, -1, -1, 1, -1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/40320 + (2669*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (697303*S[2, Infinity]^4)/196000 + 
   ((-3949*S[-1, Infinity]^2)/896 - (527*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((1147*S[-1, Infinity]^3)/128 + 
     (15861*S[-1, Infinity]*S[2, Infinity])/448 - (8283*S[3, Infinity])/1792)*
    S[5, Infinity] - (24273*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-1417*S[-1, Infinity]^4)/3360 - 
     (141*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/1680 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (15737*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (155*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-387*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-123*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/560 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (107*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (387*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-93*S[-1, Infinity]^2)/16 - (17529*S[2, Infinity])/896)*
      S[5, Infinity] + (47457*S[7, Infinity])/3584 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/64 - 
       (75*S[-1, Infinity]^2*S[2, Infinity])/32 - (1557*S[2, Infinity]^2)/
        2240 - (15*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 - 
       5*S[-1, 1, 1, 1, 1, Infinity]) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(53*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(25*S[-5, 1, 1, Infinity] + 46*S[5, -1, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (3*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 58*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-52720*S[-7, -1, Infinity] - 6963*S[5, 3, Infinity] - 
      10240*S[-5, -1, -1, -1, Infinity] - 2080*S[-5, -1, 1, 1, Infinity] - 
      4480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/4480, 
 S[1, 2, -1, -1, 1, 1, -1, Infinity] -> (103*S[-1, Infinity]^8)/10080 + 
   (179*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (24*S[2, Infinity]^4)/5 + 
   (1037*S[-1, Infinity]^2*S[3, Infinity]^2)/896 + 
   ((155*S[-1, Infinity]^3)/32 + (3889*S[-1, Infinity]*S[2, Infinity])/224 + 
     (7*S[3, Infinity])/2)*S[5, Infinity] - 
   (48829*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/240 + 
     (24*S[-1, 1, 1, 1, Infinity])/5) + S[2, Infinity]*
    ((-173*S[-1, Infinity]^6)/1440 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*
    ((-49*S[-1, Infinity]^5)/160 + (35*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (275*S[-1, Infinity]*S[2, Infinity]^2)/28 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-59*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/5040 + 
     (79*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (867*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (803*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-403*S[-1, Infinity]^2)/64 - (9265*S[2, Infinity])/448)*
      S[5, Infinity] + (73889*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 - (51*S[2, Infinity]^2)/56 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-13*S[-1, Infinity]^5)/80 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-13*S[-5, -1, Infinity] + 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-22*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   2*(3*S[-1, 1, 1, 1, Infinity]^2 + 14*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity]), S[1, 2, -1, -1, 1, 1, 1, Infinity] -> 
  (7*S[-1, Infinity]^8)/2880 - (177*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (745723*S[2, Infinity]^4)/392000 + 
   ((-99*S[-1, Infinity]^2)/112 - (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((132*S[-1, Infinity]*S[2, Infinity])/7 + 
     (30307*S[3, Infinity])/1792)*S[5, Infinity] - 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((419*S[-1, Infinity]^4)/3360 - 
     (37*S[-1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/720 - (173*S[-5, -1, Infinity])/
      28 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/140 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (1947*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(S[-1, Infinity]^7/504 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-93*S[-1, Infinity]^2)/64 + (1201*S[2, Infinity])/448)*
      S[5, Infinity] - (23769*S[7, Infinity])/3584 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-25*S[-1, Infinity]^4)/96 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 + (143*S[2, Infinity]^2)/
        280 + (25*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/24 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (350720*S[-7, -1, Infinity] + 94811*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 62720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 2, -1, 1, -1, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/20160 - (631*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (175191*S[2, Infinity]^4)/98000 + 
   ((-25*S[-1, Infinity]^2)/448 + (743*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 - 
     (837*S[-1, Infinity]*S[2, Infinity])/224 - (47711*S[3, Infinity])/3584)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((461*S[-1, Infinity]^4)/3360 + 
     (1409*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-99*S[-1, Infinity]^5)/2240 + 
     (137*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (3891*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (277*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-11*S[-1, Infinity]^6)/120 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (753*S[-5, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(223*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/112 + 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (1761*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (231*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-837*S[-1, Infinity]^2)/64 - (597*S[2, Infinity])/32)*S[5, Infinity] + 
     (43101*S[7, Infinity])/1024 - (21*S[-1, Infinity]*S[-5, -1, Infinity])/
      4 + S[3, Infinity]*((-9*S[-1, Infinity]^4)/64 + 
       (117*S[-1, Infinity]^2*S[2, Infinity])/32 - (87*S[2, Infinity]^2)/
        160 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/20 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(7*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity] - 
        24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (-461120*S[-7, -1, Infinity] - 105631*S[5, 3, Infinity] - 
     39680*S[-5, -1, -1, -1, Infinity] - 67840*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, -1, 1, -1, -1, 1, Infinity] -> 
  (-53*S[-1, Infinity]^8)/40320 - (2943*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (3821669*S[2, Infinity]^4)/784000 + 
   ((-133*S[-1, Infinity]^2)/64 + (13243*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/64 - 
     (363*S[-1, Infinity]*S[2, Infinity])/16 - (140037*S[3, Infinity])/7168)*
    S[5, Infinity] + (57297*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((197*S[-1, Infinity]^4)/3360 + 
     (1251*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/840 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (6743*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (579*S[-1, 1, 1, 1, 1, Infinity])/28) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(77*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/720 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (1585*S[-5, -1, Infinity] + 
       196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((3*S[-1, Infinity]^7)/280 + 
     (123*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (153*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (7323*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-465*S[-1, Infinity]^2)/32 - (9021*S[2, Infinity])/896)*
      S[5, Infinity] + (122205*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/64 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/2 - (1863*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-27*S[-1, Infinity]^5)/80 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(-99*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (3*(39*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (3*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-905920*S[-7, -1, Infinity] - 120537*S[5, 3, Infinity] - 
      60160*S[-5, -1, -1, -1, Infinity] - 136960*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, 2, -1, 1, -1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/1008 - (97*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (845079*S[2, Infinity]^4)/196000 + 
   ((-633*S[-1, Infinity]^2)/256 + (767*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/128 - 
     (1381*S[-1, Infinity]*S[2, Infinity])/128 - (120861*S[3, Infinity])/
      3584)*S[5, Infinity] - (1535*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((55*S[-1, Infinity]^4)/224 - 
     (39*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/480 + (1677*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((2657*S[-1, Infinity]^5)/6720 - 
     (667*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2533*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (309*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-60*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1260 - 
     (S[-1, Infinity]^5*S[2, Infinity])/40 + 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (893*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^4)/64 - (15*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (667*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (575*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-527*S[-1, Infinity]^2)/128 - (3069*S[2, Infinity])/224)*
      S[5, Infinity] + (31799*S[7, Infinity])/896 - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] + 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (11*S[-5, 1, 1, Infinity] + 130*S[5, -1, -1, Infinity] + 
       308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*(173920*S[-7, -1, Infinity] + 29357*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 32960*S[-5, -1, 1, 1, Infinity] + 
      13440*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[1, 2, -1, 1, -1, 1, 1, Infinity] -> 
  (-173*S[-1, Infinity]^8)/13440 - (1343*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (14683*S[2, Infinity]^4)/156800 + 
   ((-61*S[-1, Infinity]^2)/56 + (2441*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((15*S[-1, Infinity]*S[2, Infinity])/14 - 
     (16683*S[3, Infinity])/1792)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((137*S[-1, Infinity]^4)/3360 + 
     (157*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/480 + (775*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((683*S[-1, Infinity]^5)/2240 - 
     (121*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (353*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (157*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1008 - 
     (S[-1, Infinity]^5*S[2, Infinity])/24 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (1199*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^4)/64 + (3*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (919*S[2, Infinity]^2)/280)*S[3, Infinity] - 
     (391*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-31*S[-1, Infinity]^2)/32 - (4667*S[2, Infinity])/448)*
      S[5, Infinity] + (252857*S[7, Infinity])/7168 + 
     (71*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (71*S[-5, 1, 1, Infinity] + 99*S[5, -1, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-23872*S[-7, -1, Infinity] - 71*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 10048*S[-5, -1, 1, 1, Infinity] - 
     8064*S[-1, 1, 1, 1, Infinity]^2 - 10752*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, 2, -1, 1, 1, -1, -1, Infinity] -> 
  (-193*S[-1, Infinity]^8)/40320 + (417*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (210001*S[2, Infinity]^4)/784000 + 
   ((211*S[-1, Infinity]^2)/896 - (5331*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 + 
     (5797*S[-1, Infinity]*S[2, Infinity])/448 - (45893*S[3, Infinity])/7168)*
    S[5, Infinity] + (97173*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-247*S[-1, Infinity]^4)/2240 - 
     (659*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((691*S[-1, Infinity]^5)/6720 - 
     (209*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (14621*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (155*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((143*S[-1, Infinity]^6)/1440 - (79*S[-5, -1, Infinity])/
      7 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-209*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/144 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (513*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (3977*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((837*S[-1, Infinity]^2)/128 + (5647*S[2, Infinity])/896)*
      S[5, Infinity] - (89935*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/64 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/2 + (1947*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((41*S[-1, Infinity]^5)/240 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-157*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (143*S[-5, 1, 1, Infinity] - 46*S[5, -1, -1, Infinity] - 
       588*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1531840*S[-7, -1, Infinity] + 165439*S[5, 3, Infinity] + 
     111360*S[-5, -1, -1, -1, Infinity] + 139520*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, -1, 1, 1, -1, 1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/13440 + (911*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (10013*S[2, Infinity]^4)/39200 + 
   ((-1789*S[-1, Infinity]^2)/1792 - (6123*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/384 + 
     (10405*S[-1, Infinity]*S[2, Infinity])/896 + (74589*S[3, Infinity])/
      7168)*S[5, Infinity] - (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-355*S[-1, Infinity]^4)/1344 + 
     (333*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((911*S[-1, Infinity]^5)/6720 - 
     (305*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (21109*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 - (17*S[-5, -1, Infinity])/28 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/210 - 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (253*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (1927*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((155*S[-1, Infinity]^2)/32 + (2467*S[2, Infinity])/448)*
      S[5, Infinity] - (82697*S[7, Infinity])/7168 + 
     (89*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/192 - 
       (49*S[-1, Infinity]^2*S[2, Infinity])/32 - (1391*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/10 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + (89*S[-5, 1, 1, Infinity] - 
       51*S[5, -1, -1, Infinity] - 308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (101952*S[-7, -1, Infinity] + 22521*S[5, 3, Infinity] + 
     20224*S[-5, -1, -1, -1, Infinity] - 2304*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, 2, -1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/10080 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (659697*S[2, Infinity]^4)/784000 + 
   ((-1635*S[-1, Infinity]^2)/1792 + (1101*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/128 - 
     (6507*S[-1, Infinity]*S[2, Infinity])/896 + (49907*S[3, Infinity])/7168)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/112 + (333*S[-1, 1, 1, 1, Infinity])/
      280) + (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((115*S[-1, Infinity]^5)/1344 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1297*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (85*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(145*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/420 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (681*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-31*S[-1, Infinity]^2)/16 + (81*S[2, Infinity])/64)*S[5, Infinity] - 
     (6207*S[7, Infinity])/1024 - (3*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/64 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/2 + (41*S[2, Infinity]^2)/64 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/240 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-3*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-417600*S[-7, -1, Infinity] - 85887*S[5, 3, Infinity] - 
     78080*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, -1, 1, 1, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/20160 - (73*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (253867*S[2, Infinity]^4)/392000 + 
   ((-235*S[-1, Infinity]^2)/1792 + (1271*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 - 
     (10875*S[-1, Infinity]*S[2, Infinity])/896 - (19451*S[3, Infinity])/
      3584)*S[5, Infinity] + (10525*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/280 - (87*S[-1, 1, 1, 1, Infinity])/
      280) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/1680 - 
     (281*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (143*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (45*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(107*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(55*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/336 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (461*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (49*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-93*S[-1, Infinity]^2)/64 + (345*S[2, Infinity])/64)*S[5, Infinity] - 
     (4183*S[7, Infinity])/256 - S[5, -1, -1, Infinity] + 
     S[3, Infinity]*((-19*S[-1, Infinity]^4)/192 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/32 + (307*S[2, Infinity]^2)/
        320 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (19360*S[-7, -1, Infinity] - 12741*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] + 19520*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 2, 1, -1, -1, -1, -1, Infinity] -> 
  (-229*S[-1, Infinity]^8)/40320 - (39*S[-1, Infinity]^2*S[2, Infinity]^3)/
    32 - (856459*S[2, Infinity]^4)/392000 + 
   ((65*S[-1, Infinity]^2)/112 - (95*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/64 - (2145*S[-1, Infinity]*S[2, Infinity])/896 + 
     (3163*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((-1109*S[-1, Infinity]^4)/6720 + 
     (2*S[-1, 1, 1, 1, Infinity])/7) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-169*S[-1, Infinity]^5)/6720 + (149*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (7789*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (575*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-128*S[-5, -1, Infinity] - 49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(23*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((41*S[-1, Infinity]^7)/5040 + 
     (89*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (323*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (1119*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-31*S[-1, Infinity]^2)/8 - (2307*S[2, Infinity])/448)*S[5, Infinity] + 
     (82513*S[7, Infinity])/3584 - (107*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[3, Infinity]*((-11*S[-1, Infinity]^4)/96 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/4 + (547*S[2, Infinity]^2)/560 + 
       (15*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-19*S[-1, Infinity]^5)/48 + (9*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-107*S[-5, 1, 1, Infinity] + 68*S[5, -1, -1, Infinity] + 
       616*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (389120*S[-7, -1, Infinity] + 40581*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 68480*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 2, 1, -1, -1, -1, 1, Infinity] -> 
  (-353*S[-1, Infinity]^8)/40320 - (4253*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (70433*S[2, Infinity]^4)/156800 + 
   ((-281*S[-1, Infinity]^2)/128 + (11817*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/32 - 
     (2337*S[-1, Infinity]*S[2, Infinity])/128 - (51189*S[3, Infinity])/7168)*
    S[5, Infinity] - (125631*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2249*S[-1, Infinity]^4)/6720 - 
     (12*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((527*S[-1, Infinity]^5)/3360 - 
     (209*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (5189*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (81*S[-1, 1, 1, 1, 1, Infinity])/7) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(69*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (387*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/504 + 
     (317*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (7471*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (6267*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-527*S[-1, Infinity]^2)/64 - (1053*S[2, Infinity])/896)*
      S[5, Infinity] + (290657*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/96 + 
       (83*S[-1, Infinity]^2*S[2, Infinity])/32 - (461*S[2, Infinity]^2)/
        448 + (15*S[-1, 1, 1, 1, Infinity])/8) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/48 + 
       6*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(251*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-230*S[-5, 1, 1, Infinity] + 71*S[5, -1, -1, Infinity] + 
       952*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*(123456*S[-7, -1, Infinity] + 18643*S[5, 3, Infinity] + 
      16640*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
      35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/7168, 
 S[1, 2, 1, -1, -1, 1, -1, Infinity] -> (-41*S[-1, Infinity]^8)/2016 - 
   (2381*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (3043*S[-1, Infinity]^2*S[3, Infinity]^2)/1792 + 
   ((-465*S[-1, Infinity]^3)/128 - (11667*S[-1, Infinity]*S[2, Infinity])/
      896 - (21*S[3, Infinity])/4)*S[5, Infinity] + 
   (146487*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/160 - 
     (18*S[-1, 1, 1, 1, Infinity])/5) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   9*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]*
    ((83*S[-1, Infinity]^6)/480 - (15*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    ((77*S[-1, Infinity]^5)/192 - (35*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (2949*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(141*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/630 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
     (4687*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (2477*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((279*S[-1, Infinity]^2)/128 + (4461*S[2, Infinity])/896)*
      S[5, Infinity] + (178827*S[7, Infinity])/7168 + 
     S[3, Infinity]*((47*S[-1, Infinity]^4)/192 - 
       (61*S[-1, Infinity]^2*S[2, Infinity])/32 - (321*S[2, Infinity]^2)/
        112 - (27*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       9*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(3*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, 2, 1, -1, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/80 + 
   (6*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (49*S[-1, Infinity]^2*S[3, Infinity]^2)/128 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-21*S[-1, Infinity]^4)/40 + 
     (36*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((133*S[-1, Infinity]^5)/960 - (7*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/560 - 
     (7*S[-1, Infinity]^5*S[2, Infinity])/80 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (75*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (2057*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-93*S[-1, Infinity]^2)/64 - (7635*S[2, Infinity])/448)*
      S[5, Infinity] + (162657*S[7, Infinity])/3584 + 
     (30*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((89*S[-1, Infinity]^4)/192 - 
       (41*S[-1, Infinity]^2*S[2, Infinity])/16 - (1689*S[2, Infinity]^2)/
        280 - 12*S[-1, 1, 1, 1, Infinity]) + 
     (3*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
        42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*(3*S[-1, 1, 1, 1, Infinity]^2 + 14*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/2, S[1, 2, 1, -1, 1, -1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/252 + (2299*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (791313*S[2, Infinity]^4)/784000 + 
   ((279*S[-1, Infinity]^2)/896 - (23799*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/32 + 
     (7517*S[-1, Infinity]*S[2, Infinity])/448 + (164019*S[3, Infinity])/
      7168)*S[5, Infinity] + (49225*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-2053*S[-1, Infinity]^4)/6720 - 
     (1587*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((739*S[-1, Infinity]^5)/6720 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (42247*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (45*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (129*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/240 - (192*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-379*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/1008 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (2213*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (2437*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((961*S[-1, Infinity]^2)/128 + (6579*S[2, Infinity])/448)*
      S[5, Infinity] - (184931*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (4033*S[2, Infinity]^2)/2240 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/7 + (80*S[-5, 1, 1, Infinity] - 
       137*S[5, -1, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) - (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] - 
      27*S[5, -1, -1, Infinity] - 40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (3*(-1107520*S[-7, -1, Infinity] - 203179*S[5, 3, Infinity] - 
      149760*S[-5, -1, -1, -1, Infinity] - 101120*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, 2, 1, -1, 1, -1, 1, Infinity] -> 
  (-823*S[-1, Infinity]^8)/40320 + (579*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (851999*S[2, Infinity]^4)/784000 + 
   ((-55*S[-1, Infinity]^2)/1792 - (3385*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 + 
     (981*S[-1, Infinity]*S[2, Infinity])/896 + (62159*S[3, Infinity])/7168)*
    S[5, Infinity] - (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-865*S[-1, Infinity]^4)/1344 + 
     (13*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/448 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2729*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((19*S[-1, Infinity]^6)/144 - (193*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/105 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (529*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-31*S[-1, Infinity]^2)/32 - (1229*S[2, Infinity])/224)*
      S[5, Infinity] + (39911*S[7, Infinity])/1792 + 
     (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((35*S[-1, Infinity]^4)/192 - 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 - (79*S[2, Infinity]^2)/28 - 
       (21*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (6*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
       63*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (622400*S[-7, -1, Infinity] + 52431*S[5, 3, Infinity] + 
     21760*S[-5, -1, -1, -1, Infinity] + 193280*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, 1, -1, 1, 1, -1, Infinity] -> 
  (-109*S[-1, Infinity]^8)/10080 + (15*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (277381*S[2, Infinity]^4)/392000 + 
   ((257*S[-1, Infinity]^2)/1792 + (5041*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 - 
     (4439*S[-1, Infinity]*S[2, Infinity])/448 + (11055*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-643*S[-1, Infinity]^4)/1344 + 
     (29*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((221*S[-1, Infinity]^5)/6720 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (9889*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (25*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (221*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(181*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((3*S[-1, Infinity]^7)/140 + 
     (71*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (123*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (635*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/4 - (4895*S[2, Infinity])/448)*S[5, Infinity] + 
     (56449*S[7, Infinity])/1792 - (127*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 - (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (65*S[-1, Infinity]^2*S[2, Infinity])/32 - (201*S[2, Infinity]^2)/
        2240 + (13*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/80 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-127*S[-5, 1, 1, Infinity] + 104*S[5, -1, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-812480*S[-7, -1, Infinity] - 144657*S[5, 3, Infinity] - 
     124160*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 322560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 2, 1, -1, 1, 1, 1, Infinity] -> 
  (-431*S[-1, Infinity]^8)/40320 + (339*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (27513*S[2, Infinity]^4)/112000 + 
   ((-5*S[-1, Infinity]^2)/1792 - (493*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-2201*S[-1, Infinity]^3)/384 - 
     (17*S[-1, Infinity]*S[2, Infinity])/224 + (2863*S[3, Infinity])/256)*
    S[5, Infinity] + (217523*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-409*S[-1, Infinity]^4)/960 - 
     (3*S[-1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (3*(9440*S[-7, -1, Infinity] + 2609*S[5, 3, Infinity] + 
      1920*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2))/1280 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/120 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (5613*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((121*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(15*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/48 + 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (3349*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (4015*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-155*S[-1, Infinity]^2)/64 + (1425*S[2, Infinity])/448)*
      S[5, Infinity] + (8273*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/48 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/8 + (4329*S[2, Infinity]^2)/
        2240 + (37*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-23*S[-1, Infinity]^5)/120 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(45*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-110*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 2, 1, 1, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/20160 + 
   (461*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (754689*S[2, Infinity]^4)/392000 + 
   ((-501*S[-1, Infinity]^2)/224 + (717*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 - 
     (625*S[-1, Infinity]*S[2, Infinity])/448 - (8187*S[3, Infinity])/896)*
    S[5, Infinity] + (45273*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/840 - 
     (141*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((353*S[-1, Infinity]^5)/3360 - 
     (113*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (7769*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (159*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + (549*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(61*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 + 
     (79*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (477*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (975*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-93*S[-1, Infinity]^2)/32 - (143*S[2, Infinity])/224)*S[5, Infinity] - 
     (34521*S[7, Infinity])/1792 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (353*S[2, Infinity]^2)/140 + 
       (13*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((17*S[-1, Infinity]^5)/120 + S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(73*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, 2, 1, 1, -1, -1, 1, Infinity] -> -S[-1, Infinity]^8/320 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (745723*S[2, Infinity]^4)/
    392000 + ((99*S[-1, Infinity]^2)/112 + (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-132*S[-1, Infinity]*S[2, Infinity])/7 - 
     (30307*S[3, Infinity])/1792)*S[5, Infinity] + 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((1597*S[-1, Infinity]^4)/3360 - 
     (319*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/140 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (1947*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/480 + (173*S[-5, -1, Infinity])/
      28 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/5040 + 
     (21*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (699*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-93*S[-1, Infinity]^2)/64 + (1201*S[2, Infinity])/448)*
      S[5, Infinity] - (23769*S[7, Infinity])/3584 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-25*S[-1, Infinity]^4)/96 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/16 + (1319*S[2, Infinity]^2)/
        280 + (25*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((29*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-350720*S[-7, -1, Infinity] - 94811*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 313600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 2, 1, 1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/640 - (1311*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (5631*S[2, Infinity]^4)/78400 + ((425*S[-1, Infinity]^2)/1792 + 
     (8121*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 - (5783*S[-1, Infinity]*S[2, Infinity])/448 - 
     (66505*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((457*S[-1, Infinity]^4)/1120 + 
     (191*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-272704*S[-7, -1, Infinity] - 48957*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 27136*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[3, Infinity]*((599*S[-1, Infinity]^5)/6720 - 
     (599*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (28061*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (599*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(-18*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(59*S[-5, -1, Infinity] + 
      126*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/5040 - 
     (27*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (1777*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-155*S[-1, Infinity]^2)/128 - (2899*S[2, Infinity])/896)*
      S[5, Infinity] - (2679*S[7, Infinity])/1792 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/16 - (447*S[2, Infinity]^2)/
        560 - (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((31*S[-1, Infinity]^5)/240 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (5*S[-5, 1, 1, Infinity] + 26*S[5, -1, -1, Infinity] - 
       308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 2, 1, 1, -1, 1, 1, Infinity] -> (103*S[-1, Infinity]^8)/40320 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (3589*S[2, Infinity]^4)/
    112000 + ((-141*S[-1, Infinity]^2)/896 - (261*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-899*S[-1, Infinity]^3)/384 + 
     (4009*S[-1, Infinity]*S[2, Infinity])/896 - (203*S[3, Infinity])/256)*
    S[5, Infinity] + (69777*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((247*S[-1, Infinity]^4)/480 + 
     (17*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/480 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (319*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(7*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-81*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 - 
     (83*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (409*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (125*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((93*S[-1, Infinity]^2)/64 + (9*S[2, Infinity])/28)*S[5, Infinity] - 
     (75135*S[7, Infinity])/3584 + S[3, Infinity]*(-S[-1, Infinity]^4/96 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 - (37*S[2, Infinity]^2)/140 + 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((29*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-37*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (15*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       210*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (8640*S[-7, -1, Infinity] + 4251*S[5, 3, Infinity] + 
     4480*S[-5, -1, -1, -1, Infinity] - 3520*S[-5, -1, 1, 1, Infinity] - 
     11520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[1, 2, 1, 1, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/5760 - 
   (3589*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1295409*S[2, Infinity]^4)/392000 + 
   ((-477*S[-1, Infinity]^2)/1792 - (3853*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((159*S[-1, Infinity]*S[2, Infinity])/28 + 
     (5629*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((-2549*S[-1, Infinity]^4)/6720 + 
     (29*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/2240 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (9381*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (159*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-313*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/504 - 
     (77*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (91*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((279*S[-1, Infinity]^2)/128 + (1943*S[2, Infinity])/896)*
      S[5, Infinity] - (28107*S[7, Infinity])/3584 + 
     (43*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 - (893*S[2, Infinity]^2)/560 - 
       2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-17*S[-1, Infinity]^5)/240 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
       308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (981440*S[-7, -1, Infinity] + 147377*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] - 
     1254400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 2, 1, 1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/3360 - 
   (57*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (1257499*S[2, Infinity]^4)/
    784000 + ((773*S[-1, Infinity]^2)/896 - (963*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 + 
     (2449*S[-1, Infinity]*S[2, Infinity])/896 - (519*S[3, Infinity])/448)*
    S[5, Infinity] - (23081*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-2581*S[-1, Infinity]^4)/6720 + 
     (69*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/1120 + 
     (59*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (8887*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (177*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-501*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/5040 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     ((155*S[-1, Infinity]^2)/64 + (101*S[2, Infinity])/64)*S[5, Infinity] - 
     (359*S[7, Infinity])/256 + S[3, Infinity]*(S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (21*S[2, Infinity]^2)/40 - 
       2*S[-1, 1, 1, 1, Infinity]) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/40 + S[-1, 1, 1, 1, 1, 
        Infinity]) - S[-1, Infinity]*(-2*S[-5, -1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (5*S[-5, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (119760*S[-7, -1, Infinity] + 10243*S[5, 3, Infinity] + 
     960*S[-5, -1, -1, -1, Infinity] + 15840*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, 2, 1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/40320 + 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/10 + 
   (16*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (72*S[2, Infinity]^4)/25 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*(S[-1, Infinity]^7/5040 + 
     (S[-1, Infinity]^5*S[2, Infinity])/60 + 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (16*S[-1, Infinity]*S[2, Infinity]^3)/7 + 6*S[7, Infinity] - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   21*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 2, 1, 1, 1, 1, 1, Infinity] -> (-72*S[2, Infinity]^4)/25 + 
   6*S[1, Infinity]*S[7, Infinity], S[1, -1, -2, -1, -1, -1, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/5760 - (873*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (252741*S[2, Infinity]^4)/12250 + 
   ((421*S[-1, Infinity]^2)/28 + (47627*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/64 - 
     (268323*S[-1, Infinity]*S[2, Infinity])/896 - (444553*S[3, Infinity])/
      3584)*S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    24 + S[2, Infinity]^2*((5913*S[-1, Infinity]^4)/2240 + 
     (3961*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((495*S[-1, Infinity]^5)/448 - 
     (4087*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (29761*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (7943*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(347*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-55*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (12409*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/90 - 
     (181*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (3543*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((7*S[-1, Infinity]^4)/64 - (3*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (20907*S[2, Infinity]^2)/2240)*S[3, Infinity] - 
     (6443*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((3813*S[-1, Infinity]^2)/64 + (11029*S[2, Infinity])/112)*
      S[5, Infinity] - (121543*S[7, Infinity])/448 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((9*S[-1, Infinity]^5)/20 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-561*S[-5, -1, Infinity] - 
        448*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (673*S[-5, 1, 1, Infinity] - 860*S[5, -1, -1, Infinity] - 
       3332*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-3671680*S[-7, -1, Infinity] - 606227*S[5, 3, Infinity] - 
     437440*S[-5, -1, -1, -1, Infinity] - 311840*S[-5, -1, 1, 1, Infinity] + 
     1536640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, -1, -2, -1, -1, -1, 1, Infinity] -> (227*S[-1, Infinity]^8)/20160 - 
   (377*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (6347869*S[2, Infinity]^4)/
    392000 + ((34429*S[-1, Infinity]^2)/1792 + (162445*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1891*S[-1, Infinity]^3)/128 - 
     (244815*S[-1, Infinity]*S[2, Infinity])/896 - (661179*S[3, Infinity])/
      7168)*S[5, Infinity] + (106413*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((344*S[-1, Infinity]^4)/105 + 
     (3373*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((1613*S[-1, Infinity]^5)/1680 - 
     (7327*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (84177*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3485*S[-1, 1, 1, 1, 1, Infinity])/28) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-337*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5627*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(2203*S[-5, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/630 - 
     (503*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (297*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     ((7*S[-1, Infinity]^4)/64 + (9*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (4197*S[2, Infinity]^2)/448)*S[3, Infinity] - 
     (7733*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((279*S[-1, Infinity]^2)/4 + (23741*S[2, Infinity])/224)*
      S[5, Infinity] - (1078757*S[7, Infinity])/3584 + 
     S[2, Infinity]*((39*S[-1, Infinity]^5)/80 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-345*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (401*S[-5, 1, 1, Infinity] - 523*S[5, -1, -1, Infinity] - 
       1876*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 62*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-26248640*S[-7, -1, Infinity] - 4269327*S[5, 3, Infinity] - 
     3096320*S[-5, -1, -1, -1, Infinity] - 
     2243840*S[-5, -1, 1, 1, Infinity] + 11038720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -2, -1, -1, 1, -1, Infinity] -> 
  (-73*S[-1, Infinity]^8)/2880 - (145*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (900789*S[2, Infinity]^4)/78400 + 
   ((19333*S[-1, Infinity]^2)/1792 + (102639*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/16 - 
     (74225*S[-1, Infinity]*S[2, Infinity])/448 - (396351*S[3, Infinity])/
      7168)*S[5, Infinity] + (80001*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((289*S[-1, Infinity]^4)/224 + 
     (1221*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(S[-1, Infinity]^6/160 + (7209*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((929*S[-1, Infinity]^5)/1680 - 
     (589*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (271417*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (573*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]^2*(491*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((9*S[-1, Infinity]^7)/560 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
     (2313*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (12231*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((6045*S[-1, Infinity]^2)/128 + (67353*S[2, Infinity])/896)*
      S[5, Infinity] - (383535*S[7, Infinity])/1792 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/32 - 
       (81*S[-1, Infinity]^2*S[2, Infinity])/16 + (2283*S[2, Infinity]^2)/
        560 - (57*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((21*S[-1, Infinity]^5)/80 - 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-467*S[-5, -1, Infinity] - 
        504*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(221*S[-5, 1, 1, Infinity] - 234*S[5, -1, -1, Infinity] - 
        952*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(101*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(1136960*S[-7, -1, Infinity] + 180813*S[5, 3, Infinity] + 
      126208*S[-5, -1, -1, -1, Infinity] + 97792*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 508928*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/7168, S[1, -1, -2, -1, -1, 1, 1, Infinity] -> 
  (-61*S[-1, Infinity]^8)/2520 - (643*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (1733101*S[2, Infinity]^4)/112000 + 
   ((951*S[-1, Infinity]^2)/128 + (4181*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 - 
     (23889*S[-1, Infinity]*S[2, Infinity])/128 - (17015*S[3, Infinity])/256)*
    S[5, Infinity] + (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((317*S[-1, Infinity]^4)/480 + 
     (44*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((27*S[-1, Infinity]^5)/40 - (359*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (4337*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (697*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/480 + (281*S[-5, -1, Infinity])/2 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*(34*S[-5, -1, Infinity] - 
     9*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((13*S[-1, Infinity]^7)/720 - (137*S[-1, Infinity]^3*S[2, Infinity]^2)/
      80 - (5767*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (10211*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((2883*S[-1, Infinity]^2)/64 + (32071*S[2, Infinity])/448)*
      S[5, Infinity] - (1454139*S[7, Infinity])/7168 + 
     S[3, Infinity]*((21*S[-1, Infinity]^4)/64 - 
       (63*S[-1, Infinity]^2*S[2, Infinity])/32 + (6543*S[2, Infinity]^2)/
        1120 - (21*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/48 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*(-61*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (562*S[-5, 1, 1, Infinity] - 635*S[5, -1, -1, Infinity] - 
       2548*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1367360*S[-7, -1, Infinity] - 220787*S[5, 3, Infinity] - 
     156160*S[-5, -1, -1, -1, Infinity] - 112640*S[-5, -1, 1, 1, Infinity] - 
     15360*S[-1, 1, 1, 1, Infinity]^2 + 634880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, -1, -2, -1, 1, -1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/20160 - (1587*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (23533*S[2, Infinity]^4)/98000 + 
   ((-197*S[-1, Infinity]^2)/56 + (621*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (737*S[-1, Infinity]*S[2, Infinity])/448 - (11943*S[3, Infinity])/896)*
    S[5, Infinity] - (247151*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (167*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*(52000*S[-7, -1, Infinity] + 10299*S[5, 3, Infinity] + 
      7680*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity]))/
    4480 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/21 + 
     (181*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/480 + (171*S[-5, -1, Infinity])/
      14 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((397*S[-1, Infinity]^5)/6720 - 
     (137*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1209*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/560 - 
     (3*S[-1, Infinity]^5*S[2, Infinity])/20 + 
     (21*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (481*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (69*S[2, Infinity]^2*S[3, Infinity])/112 + 
     (225*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-465*S[-1, Infinity]^2)/128 - (5745*S[2, Infinity])/896)*
      S[5, Infinity] + (4119*S[7, Infinity])/224 - 
     (45*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (3*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-95*S[-5, 1, 1, Infinity] + 129*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, -1, -2, -1, 1, -1, 1, Infinity] -> (271*S[-1, Infinity]^8)/40320 - 
   (3303*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (269461*S[2, Infinity]^4)/392000 + 
   ((1413*S[-1, Infinity]^2)/1792 + (10133*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 - 
     (4419*S[-1, Infinity]*S[2, Infinity])/224 - (104747*S[3, Infinity])/
      7168)*S[5, Infinity] + (157*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/448 + 
     (253*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/280 - 
     (485*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (25969*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (443*S[-1, 1, 1, 1, 1, Infinity])/56) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/1440 + (527*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-59*S[-1, Infinity]^7)/5040 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (1231*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/16 + (1363*S[2, Infinity]^2)/2240)*
      S[3, Infinity] - (125*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((899*S[-1, Infinity]^2)/128 + (9209*S[2, Infinity])/896)*
      S[5, Infinity] - (115343*S[7, Infinity])/7168 + 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/240 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (50*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1048000*S[-7, -1, Infinity] - 217687*S[5, 3, Infinity] - 
     200960*S[-5, -1, -1, -1, Infinity] - 94720*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -2, -1, 1, 1, -1, Infinity] -> (431*S[-1, Infinity]^8)/40320 - 
   (303*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (68501*S[2, Infinity]^4)/14000 + ((149*S[-1, Infinity]^2)/32 + 
     (2873*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-775*S[-1, Infinity]^3)/192 - (8359*S[-1, Infinity]*S[2, Infinity])/
      128 - (27173*S[3, Infinity])/1024)*S[5, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/480 + 
     (17*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((93*S[-1, Infinity]^5)/320 - (9*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (14571*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (279*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(25*S[-5, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (187*S[-5, -1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/56 - 
     (347*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (3641*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (4169*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((2263*S[-1, Infinity]^2)/128 + (21271*S[2, Infinity])/896)*
      S[5, Infinity] - (482781*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 - 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 + (341*S[2, Infinity]^2)/
        224 + S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/60 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (2*S[-1, Infinity]*(38*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (3*(57*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-909120*S[-7, -1, Infinity] - 139887*S[5, 3, Infinity] - 
     101120*S[-5, -1, -1, -1, Infinity] - 78080*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, -2, -1, 1, 1, 1, Infinity] -> 
  (421*S[-1, Infinity]^8)/40320 - (239*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (3526087*S[2, Infinity]^4)/784000 + 
   ((2867*S[-1, Infinity]^2)/1792 + (36287*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 - 
     (2973*S[-1, Infinity]*S[2, Infinity])/56 - (33751*S[3, Infinity])/1792)*
    S[5, Infinity] - (57163*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((2941*S[-1, Infinity]^4)/3360 + 
     (169*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((757*S[-1, Infinity]^5)/2240 - (2089*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (12807*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (227*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/240 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (2915*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(471*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/840 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (3739*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (2829*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((403*S[-1, Infinity]^2)/32 + (5787*S[2, Infinity])/448)*
      S[5, Infinity] - (368455*S[7, Infinity])/7168 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (4251*S[2, Infinity]^2)/
        2240 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-237*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (104*S[-5, 1, 1, Infinity] - 155*S[5, -1, -1, Infinity] - 
       756*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-67*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3281920*S[-7, -1, Infinity] - 504349*S[5, 3, Infinity] - 
     345600*S[-5, -1, -1, -1, Infinity] - 295040*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 1523200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, -2, 1, -1, -1, -1, Infinity] -> 
  (8*S[-1, Infinity]^8)/315 + (675*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (3484773*S[2, Infinity]^4)/196000 + 
   ((-9745*S[-1, Infinity]^2)/896 - (143349*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 + 
     (6191*S[-1, Infinity]*S[2, Infinity])/28 + (826029*S[3, Infinity])/7168)*
    S[5, Infinity] - (54421*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-895*S[-1, Infinity]^4)/336 - 
     (501*S[-1, 1, 1, 1, Infinity])/56) - 
   (9*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-7159*S[-1, Infinity]^5)/6720 + 
     (178*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (76691*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1781*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((35*S[-1, Infinity]^6)/288 - (10953*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-1061*S[-5, -1, Infinity] + 
      294*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-43*S[-1, Infinity]^7)/2520 + 
     (773*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (237*S[-1, Infinity]*S[2, Infinity]^3)/32 + 
     (23733*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-1395*S[-1, Infinity]^2)/32 - (27843*S[2, Infinity])/448)*
      S[5, Infinity] + (1300629*S[7, Infinity])/7168 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-55*S[-1, Infinity]^4)/192 + 
       (193*S[-1, Infinity]^2*S[2, Infinity])/32 - (3701*S[2, Infinity]^2)/
        1120 + (55*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-71*S[-1, Infinity]^5)/120 + 
       (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]*(75*S[-5, -1, Infinity] + 
        98*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (3*(227*S[-5, 1, 1, Infinity] - 193*S[5, -1, -1, Infinity] - 
        868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] + 30*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(7828160*S[-7, -1, Infinity] + 1271391*S[5, 3, Infinity] + 
      858880*S[-5, -1, -1, -1, Infinity] + 762880*S[-5, -1, 1, 1, Infinity] + 
      89600*S[-1, 1, 1, 1, Infinity]^2 - 3046400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, -1, -2, 1, -1, -1, 1, Infinity] -> 
  (289*S[-1, Infinity]^8)/10080 + (3613*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (6168143*S[2, Infinity]^4)/392000 + 
   ((-14997*S[-1, Infinity]^2)/1792 - (17929*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (100641*S[-1, Infinity]*S[2, Infinity])/448 + (330055*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((-849*S[-1, Infinity]^4)/560 - 
     (82*S[-1, 1, 1, 1, Infinity])/7) - S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2203*S[-1, Infinity]^5)/2240 + 
     (2203*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (176223*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (6609*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - (1282*S[-5, -1, Infinity])/
      7 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-2287*S[-5, -1, Infinity] + 
      588*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/630 + 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
     (729*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (21293*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-341*S[-1, Infinity]^2)/8 - (6841*S[2, Infinity])/112)*
      S[5, Infinity] + (1191787*S[7, Infinity])/7168 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/24 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 - (291*S[2, Infinity]^2)/448 + 
       7*S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/60 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(389*S[-5, -1, Infinity] + 
        588*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-620*S[-5, 1, 1, Infinity] + 549*S[5, -1, -1, Infinity] + 
       2240*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5765440*S[-7, -1, Infinity] + 907621*S[5, 3, Infinity] + 
     657920*S[-5, -1, -1, -1, Infinity] + 524800*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 2329600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -2, 1, -1, 1, -1, Infinity] -> 
  (-223*S[-1, Infinity]^8)/40320 + (9011*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (4011489*S[2, Infinity]^4)/392000 + 
   ((-191*S[-1, Infinity]^2)/28 - (101989*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/128 + 
     (142539*S[-1, Infinity]*S[2, Infinity])/896 + (143287*S[3, Infinity])/
      1792)*S[5, Infinity] + S[2, Infinity]^2*
    ((-5111*S[-1, Infinity]^4)/3360 - (1091*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1499*S[-1, Infinity]^5)/2240 + 
     (739*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (16353*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (4497*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-6877*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-394*S[-5, -1, Infinity] + 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((41*S[-1, Infinity]^7)/5040 + 
     (391*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (20*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     (1789*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-1953*S[-1, Infinity]^2)/64 - (3251*S[2, Infinity])/64)*
      S[5, Infinity] + (71977*S[7, Infinity])/512 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (1411*S[2, Infinity]^2)/
        320 + S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, Infinity]*(3*S[-5, -1, Infinity] + 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-25*S[-5, 1, 1, Infinity] + 32*S[5, -1, -1, Infinity] + 
       128*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (7710400*S[-7, -1, Infinity] + 1301341*S[5, 3, Infinity] + 
     945920*S[-5, -1, -1, -1, Infinity] + 693760*S[-5, -1, 1, 1, Infinity] - 
     2777600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, -2, 1, -1, 1, 1, Infinity] -> (-67*S[-1, Infinity]^8)/10080 + 
   (6729*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1032147*S[2, Infinity]^4)/98000 + 
   ((-15725*S[-1, Infinity]^2)/1792 - (22845*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((3007*S[-1, Infinity]^3)/384 + 
     (8115*S[-1, Infinity]*S[2, Infinity])/56 + (553423*S[3, Infinity])/7168)*
    S[5, Infinity] - (21225*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-857*S[-1, Infinity]^4)/448 - 
     (1073*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2237*S[-1, Infinity]^5)/3360 + 
     (643*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (250197*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (2097*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-1279*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((161*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-841*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-9*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      36*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((53*S[-1, Infinity]^7)/5040 + 
     (259*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (4749*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (2149*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-4557*S[-1, Infinity]^2)/128 - (7033*S[2, Infinity])/128)*
      S[5, Infinity] + (165179*S[7, Infinity])/1024 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 + 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 - (13*S[2, Infinity]^2)/2 - 
       (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/30 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(21*S[-5, -1, Infinity] + 
        22*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (-59*S[-5, 1, 1, Infinity] + 77*S[5, -1, -1, Infinity] + 
       292*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (14377280*S[-7, -1, Infinity] + 2436319*S[5, 3, Infinity] + 
     1672960*S[-5, -1, -1, -1, Infinity] + 
     1382400*S[-5, -1, 1, 1, Infinity] - 5376000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -2, 1, 1, -1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/1008 - (S[-1, Infinity]^2*S[2, Infinity]^3)/2 + 
   (5244739*S[2, Infinity]^4)/784000 + 
   ((2585*S[-1, Infinity]^2)/896 + (49929*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2127*S[-1, Infinity]*S[2, Infinity])/28 - 
     (178119*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((145*S[-1, Infinity]^4)/168 + 
     (593*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1931*S[-1, Infinity]^5)/6720 - 
     (379*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (117849*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (2127*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-143*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3737*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(863*S[-5, -1, Infinity] - 
      476*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((41*S[-1, Infinity]^7)/5040 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     ((7*S[-1, Infinity]^4)/192 + (7*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (109*S[2, Infinity]^2)/1120)*S[3, Infinity] - 
     (2241*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((341*S[-1, Infinity]^2)/64 + (1613*S[2, Infinity])/224)*
      S[5, Infinity] - (173353*S[7, Infinity])/7168 + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/80 - 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] - 77*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/7 + (87*S[-5, 1, 1, Infinity] - 
       67*S[5, -1, -1, Infinity] - 364*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-8434880*S[-7, -1, Infinity] - 1294331*S[5, 3, Infinity] - 
     907520*S[-5, -1, -1, -1, Infinity] - 759040*S[-5, -1, 1, 1, Infinity] + 
     4157440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -2, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/2520 - 
   (1497*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (4794297*S[2, Infinity]^4)/784000 + 
   ((1157*S[-1, Infinity]^2)/256 + (23521*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 - 
     (1135*S[-1, Infinity]*S[2, Infinity])/16 - (59219*S[3, Infinity])/1792)*
    S[5, Infinity] + (73825*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((1931*S[-1, Infinity]^4)/1680 + 
     (1201*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((1303*S[-1, Infinity]^5)/6720 - 
     (359*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (8291*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1117*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(53*S[-5, -1, Infinity] - 
      34*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((-163*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1691*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/720 - 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (49*S[-1, Infinity]*S[2, Infinity]^3)/16 - 
     (3881*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((93*S[-1, Infinity]^2)/16 + (1423*S[2, Infinity])/224)*S[5, Infinity] - 
     (123589*S[7, Infinity])/3584 + S[3, Infinity]*
      ((7*S[-1, Infinity]^4)/48 - (31*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (933*S[2, Infinity]^2)/1120 - (21*S[-1, 1, 1, 1, Infinity])/8) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/48 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-37*S[-5, -1, Infinity] - 
        308*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (64*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      420*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-949600*S[-7, -1, Infinity] - 153241*S[5, 3, Infinity] - 
     107200*S[-5, -1, -1, -1, Infinity] - 88800*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2 + 362880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, -2, 1, 1, 1, -1, Infinity] -> 
  (289*S[-1, Infinity]^8)/40320 - (131*S[-1, Infinity]^2*S[2, Infinity]^3)/
    40 - (1281993*S[2, Infinity]^4)/784000 + 
   ((3621*S[-1, Infinity]^2)/1792 - (1209*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/128 - 
     (215*S[-1, Infinity]*S[2, Infinity])/896 - (12339*S[3, Infinity])/1792)*
    S[5, Infinity] + (49611*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-253*S[-1, Infinity]^4)/6720 + 
     (81*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 - (453*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/140 + 
     (179*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1033*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (87*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-26*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/168 - 
     (211*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1023*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (663*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((279*S[-1, Infinity]^2)/128 + (5233*S[2, Infinity])/896)*
      S[5, Infinity] - (158127*S[7, Infinity])/7168 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/64 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 + (227*S[2, Infinity]^2)/560 - 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-2*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (8*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (315360*S[-7, -1, Infinity] + 26283*S[5, 3, Infinity] + 
     5760*S[-5, -1, -1, -1, Infinity] + 27840*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 304640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -2, 1, 1, 1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/4032 - (135*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1517*S[2, Infinity]^4)/22400 + 
   ((47*S[-1, Infinity]^2)/128 + (205*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-15*S[-1, Infinity]*S[2, Infinity])/4 - (7855*S[3, Infinity])/1024)*
    S[5, Infinity] + S[2, Infinity]^2*(S[-1, Infinity]^4/48 - 
     S[-1, 1, 1, 1, Infinity]/4) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/192 + 
     (S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 - (5*S[-5, -1, Infinity])/2 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (305*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (151*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     (235*S[2, Infinity]*S[5, Infinity])/64 - (8415*S[7, Infinity])/1024 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 + 2*S[2, Infinity]^2 + 
       (7*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(5*S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-5*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (8000*S[-7, -1, Infinity] - 1207*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     1536*S[-1, 1, 1, 1, Infinity]^2 + 1024*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[1, -1, 2, -1, -1, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/10080 + (249*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 - (397461*S[2, Infinity]^4)/19600 + 
   ((-6371*S[-1, Infinity]^2)/448 - (91199*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1829*S[-1, Infinity]^3)/384 + 
     (259619*S[-1, Infinity]*S[2, Infinity])/896 + (436241*S[3, Infinity])/
      3584)*S[5, Infinity] - (77881*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-4561*S[-1, Infinity]^4)/1680 - 
     (502*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-7913*S[-1, Infinity]^5)/6720 + 
     (7955*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (118539*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (2015*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/40 - (6333*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-697*S[-5, -1, Infinity] + 
      154*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/2520 - 
     (17*S[-1, Infinity]^5*S[2, Infinity])/40 + 
     (377*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (419*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/4 - (5379*S[2, Infinity]^2)/560)*
      S[3, Infinity] + (12991*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-465*S[-1, Infinity]^2)/8 - (5651*S[2, Infinity])/56)*S[5, Infinity] + 
     (31861*S[7, Infinity])/112 - 
     (2*S[-1, Infinity]*(57*S[-5, -1, Infinity] + 
        77*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (4*(46*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-59*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2894144*S[-7, -1, Infinity] + 476109*S[5, 3, Infinity] + 
     336128*S[-5, -1, -1, -1, Infinity] + 257024*S[-5, -1, 1, 1, Infinity] - 
     1189888*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[1, -1, 2, -1, -1, -1, 1, Infinity] -> (169*S[-1, Infinity]^8)/40320 + 
   (1093*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (8651121*S[2, Infinity]^4)/392000 + 
   ((-20035*S[-1, Infinity]^2)/1792 - (178069*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 + 
     (245405*S[-1, Infinity]*S[2, Infinity])/896 + (854785*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-4807*S[-1, Infinity]^4)/2240 - (1013*S[-1, 1, 1, 1, Infinity])/70) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1269*S[-1, Infinity]^5)/1120 + 
     (1297*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (90639*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (7761*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((89*S[-1, Infinity]^6)/720 - (12675*S[-5, -1, Infinity])/
      56 - (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-2825*S[-5, -1, Infinity] + 
      616*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/210 + 
     (343*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (477*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/8 - (9683*S[2, Infinity]^2)/1120)*
      S[3, Infinity] + (11811*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-217*S[-1, Infinity]^2)/4 - (41989*S[2, Infinity])/448)*
      S[5, Infinity] + (941671*S[7, Infinity])/3584 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-73*S[-1, Infinity]^5)/240 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(397*S[-5, -1, Infinity] + 
        616*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-677*S[-5, 1, 1, Infinity] + 870*S[5, -1, -1, Infinity] + 
       3220*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (28640960*S[-7, -1, Infinity] + 4633523*S[5, 3, Infinity] + 
     3257600*S[-5, -1, -1, -1, Infinity] + 
     2593280*S[-5, -1, 1, 1, Infinity] - 12078080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 2, -1, -1, 1, -1, Infinity] -> 
  (-137*S[-1, Infinity]^8)/8064 + (5783*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (7528939*S[2, Infinity]^4)/392000 + 
   ((-729*S[-1, Infinity]^2)/56 - (65617*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/48 + 
     (169585*S[-1, Infinity]*S[2, Infinity])/896 + (51851*S[3, Infinity])/
      448)*S[5, Infinity] + S[2, Infinity]^2*((-797*S[-1, Infinity]^4)/280 - 
     (3391*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1367*S[-1, Infinity]^5)/2240 + 
     (659*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (38679*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (6453*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((91*S[-1, Infinity]^6)/360 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-4721*S[-5, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(521*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/560 + 
     (24*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (415*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (13947*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-837*S[-1, Infinity]^2)/16 - (32355*S[2, Infinity])/448)*
      S[5, Infinity] + (358593*S[7, Infinity])/1792 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/16 + 
       (93*S[-1, Infinity]^2*S[2, Infinity])/16 - (3153*S[2, Infinity]^2)/
        1120 + (15*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((-41*S[-1, Infinity]^5)/80 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(-115*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (9*(79*S[-5, 1, 1, Infinity] - 68*S[5, -1, -1, Infinity] - 
        308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (10174720*S[-7, -1, Infinity] + 1646881*S[5, 3, Infinity] + 
     1094400*S[-5, -1, -1, -1, Infinity] + 
     1011200*S[-5, -1, 1, 1, Infinity] + 26880*S[-1, 1, 1, 1, Infinity]^2 - 
     4157440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, 2, -1, -1, 1, 1, Infinity] -> (-167*S[-1, Infinity]^8)/8064 + 
   (2337*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2274823*S[2, Infinity]^4)/156800 + 
   ((-2649*S[-1, Infinity]^2)/256 - (116125*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((775*S[-1, Infinity]^3)/192 + 
     (3025*S[-1, Infinity]*S[2, Infinity])/16 + (603459*S[3, Infinity])/7168)*
    S[5, Infinity] - (147619*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-4717*S[-1, Infinity]^4)/1680 - 
     (1549*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-1039*S[-1, Infinity]^5)/1344 + 
     (673*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (9125*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (3091*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-59*S[-5, -1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/72 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9493*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] + 113*S[5, -1, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/336 + 
     (1009*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (9447*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (12807*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-6479*S[-1, Infinity]^2)/128 - (66925*S[2, Infinity])/896)*
      S[5, Infinity] + (1581991*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 + 
       (63*S[-1, Infinity]^2*S[2, Infinity])/32 - (3103*S[2, Infinity]^2)/
        560 + (21*S[-1, 1, 1, 1, Infinity])/8) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-101*S[-1, Infinity]^5)/240 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(211*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-654*S[-5, 1, 1, Infinity] + 725*S[5, -1, -1, Infinity] + 
       3024*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (4022336*S[-7, -1, Infinity] + 632791*S[5, 3, Infinity] + 
     431360*S[-5, -1, -1, -1, Infinity] + 391168*S[-5, -1, 1, 1, Infinity] - 
     1627136*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, -1, 2, -1, 1, -1, -1, Infinity] -> (-37*S[-1, Infinity]^8)/5760 - 
   (2277*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (203421*S[2, Infinity]^4)/56000 + 
   ((-39*S[-1, Infinity]^2)/16 + (1765*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((775*S[-1, Infinity]^3)/192 - 
     (4313*S[-1, Infinity]*S[2, Infinity])/128 - (31253*S[3, Infinity])/1024)*
    S[5, Infinity] + S[2, Infinity]^2*((841*S[-1, Infinity]^4)/960 + 
     4*S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/32 - (67*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (2607*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (285*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/180 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(159*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(101*S[-5, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(S[-1, Infinity]^7/112 + 
     (217*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (279*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((-7*S[-1, Infinity]^4)/64 - (21*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (3531*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (2595*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1519*S[-1, Infinity]^2)/128 - (14617*S[2, Infinity])/896)*
      S[5, Infinity] + (18813*S[7, Infinity])/448 + 
     S[2, Infinity]*(S[-1, Infinity]^5/5 - (5*S[-1, 1, 1, 1, 1, Infinity])/
        2) - (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (6*S[-1, Infinity]*(10*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (6*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (-758720*S[-7, -1, Infinity] - 114763*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 102400*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, -1, 2, -1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/5040 - 
   (6939*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2475027*S[2, Infinity]^4)/392000 + 
   ((-393*S[-1, Infinity]^2)/1792 + (30627*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/96 - 
     (38809*S[-1, Infinity]*S[2, Infinity])/896 - (62821*S[3, Infinity])/896)*
    S[5, Infinity] + (302943*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*(581440*S[-7, -1, Infinity] + 126801*S[5, 3, Infinity] + 
      65280*S[-5, -1, -1, -1, Infinity] + 96000*S[-5, -1, 1, 1, Infinity]))/
    17920 + S[2, Infinity]^2*((583*S[-1, Infinity]^4)/560 + 
     (45*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((2549*S[-1, Infinity]^5)/6720 - (1163*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (22769*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (907*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/720 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-199*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (6*S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1680 + 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (1189*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^4)/64 - (27*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (1107*S[2, Infinity]^2)/1120)*S[3, Infinity] + 
     (1455*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-589*S[-1, Infinity]^2)/128 + (241*S[2, Infinity])/896)*
      S[5, Infinity] - (1935*S[7, Infinity])/7168 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((41*S[-1, Infinity]^5)/240 + S[-1, 1, 1, 1, 1, 
        Infinity]) - (3*S[-1, Infinity]*(61*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (3*(5*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, -1, 2, -1, 1, 1, -1, Infinity] -> (23*S[-1, Infinity]^8)/4032 - 
   (3921*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (542527*S[2, Infinity]^4)/392000 + 
   ((-235*S[-1, Infinity]^2)/256 - (32269*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-589*S[-1, Infinity]^3)/128 + 
     (6109*S[-1, Infinity]*S[2, Infinity])/128 - (197811*S[3, Infinity])/
      7168)*S[5, Infinity] + (66083*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/672 + 
     (5*S[-1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/1440 - (1123*S[-5, -1, Infinity])/
      56 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-99*S[-1, Infinity]^5)/2240 + 
     (955*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (11797*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (59*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-93*S[-5, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(45*S[-5, 1, 1, Infinity] - 88*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/2520 - 
     (179*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (3259*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (51*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-93*S[-1, Infinity]^2)/32 - (4037*S[2, Infinity])/448)*
      S[5, Infinity] + (246011*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-19*S[-1, Infinity]^4)/192 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/32 - (191*S[2, Infinity]^2)/
        280 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/120 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-29*S[-5, -1, Infinity] + 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (S[-5, 1, 1, Infinity] + 85*S[5, -1, -1, Infinity] + 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5620800*S[-7, -1, Infinity] + 826201*S[5, 3, Infinity] + 
     682240*S[-5, -1, -1, -1, Infinity] + 151040*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 4121600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 2, -1, 1, 1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/5040 + (807*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (3485659*S[2, Infinity]^4)/784000 + 
   ((-1165*S[-1, Infinity]^2)/448 - (6701*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 + 
     (23549*S[-1, Infinity]*S[2, Infinity])/448 + (17387*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((533*S[-1, Infinity]^4)/3360 + 
     (15*S[-1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/2240 + 
     (185*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (39507*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (81*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 - (127*S[-5, -1, Infinity])/
      14 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (2*S[-1, Infinity]^2*(31*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/315 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (2131*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (69*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-1271*S[-1, Infinity]^2)/128 - (18649*S[2, Infinity])/896)*
      S[5, Infinity] + (510343*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 - (1913*S[2, Infinity]^2)/448 - 
       (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (4*S[-1, Infinity]*(S[-5, -1, Infinity] + 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-44*S[-5, 1, 1, Infinity] + 173*S[5, -1, -1, Infinity] + 
       840*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1899200*S[-7, -1, Infinity] + 391833*S[5, 3, Infinity] + 
     299520*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 2, 1, -1, -1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/8064 - (3027*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (168197*S[2, Infinity]^4)/8000 + 
   ((1353*S[-1, Infinity]^2)/128 + (9275*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 - 
     (5925*S[-1, Infinity]*S[2, Infinity])/32 - (108701*S[3, Infinity])/1024)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((2699*S[-1, Infinity]^4)/960 + 
     (137*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((161*S[-1, Infinity]^5)/192 - (565*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (46783*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (985*S[-1, 1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (3*S[-1, Infinity]^2*(20*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2 + S[2, Infinity]*((-149*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1439*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/140 - 
     (311*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (10267*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (5667*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((4929*S[-1, Infinity]^2)/128 + (44523*S[2, Infinity])/896)*
      S[5, Infinity] - (1094817*S[7, Infinity])/7168 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/32 - 
       (111*S[-1, Infinity]^2*S[2, Infinity])/16 + (681*S[2, Infinity]^2)/
        2240 - (63*S[-1, 1, 1, 1, Infinity])/8) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/20 - 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]*(46*S[-5, -1, Infinity] + 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (3*(198*S[-5, 1, 1, Infinity] - 145*S[5, -1, -1, Infinity] - 
        840*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-3069760*S[-7, -1, Infinity] - 482737*S[5, 3, Infinity] - 
     311040*S[-5, -1, -1, -1, Infinity] - 308480*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 + 1331200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, 2, 1, -1, -1, 1, Infinity] -> 
  (67*S[-1, Infinity]^8)/13440 - (3019*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (3219729*S[2, Infinity]^4)/196000 + 
   ((15501*S[-1, Infinity]^2)/1792 + (101511*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1271*S[-1, Infinity]^3)/128 - 
     (83043*S[-1, Infinity]*S[2, Infinity])/448 - (145941*S[3, Infinity])/
      1792)*S[5, Infinity] + (69303*S[-1, Infinity]*S[7, Infinity])/896 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((6911*S[-1, Infinity]^4)/2240 + 
     (507*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((2257*S[-1, Infinity]^5)/2240 - (943*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (19983*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (2913*S[-1, 1, 1, 1, 1, Infinity])/28) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((-3*S[-1, Infinity]^6)/16 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(1475*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (3*S[-1, Infinity]^2*(487*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/60 - 
     (63*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (1997*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     ((-7*S[-1, Infinity]^4)/64 - (21*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (1707*S[2, Infinity]^2)/224)*S[3, Infinity] - 
     (5517*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((5859*S[-1, Infinity]^2)/128 + (68613*S[2, Infinity])/896)*
      S[5, Infinity] - (1649241*S[7, Infinity])/7168 + 
     S[2, Infinity]*((2*S[-1, Infinity]^5)/5 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(179*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(193*S[-5, 1, 1, Infinity] - 241*S[5, -1, -1, Infinity] - 
        980*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (3*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 96*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(3078080*S[-7, -1, Infinity] + 474739*S[5, 3, Infinity] + 
      309760*S[-5, -1, -1, -1, Infinity] + 312960*S[-5, -1, 1, 1, Infinity] - 
      1344000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[1, -1, 2, 1, -1, 1, -1, Infinity] -> (-23*S[-1, Infinity]^8)/672 - 
   (421*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (101043*S[2, Infinity]^4)/9800 + ((6295*S[-1, Infinity]^2)/1792 + 
     (42389*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-589*S[-1, Infinity]^3)/64 - (18819*S[-1, Infinity]*S[2, Infinity])/
      224 - (241527*S[3, Infinity])/7168)*S[5, Infinity] + 
   (445855*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1013*S[-1, Infinity]^4)/1680 - 
     (173*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((8*S[-1, Infinity]^6)/45 + (3873*S[-5, -1, Infinity])/56 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((2899*S[-1, Infinity]^5)/3360 - 
     (935*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (135823*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (69*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (331*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(149*S[-5, -1, Infinity] - 
      77*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((101*S[-1, Infinity]^7)/5040 - 
     (581*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (2281*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (1181*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((2139*S[-1, Infinity]^2)/64 + (3359*S[2, Infinity])/64)*
      S[5, Infinity] - (19447*S[7, Infinity])/128 + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/64 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 + (1743*S[2, Infinity]^2)/
        320 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-51*S[-5, -1, Infinity] - 
        44*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (34*S[-5, 1, 1, Infinity] - 35*S[5, -1, -1, Infinity] - 
       146*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 223*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1601984*S[-7, -1, Infinity] - 237471*S[5, 3, Infinity] - 
     144128*S[-5, -1, -1, -1, Infinity] - 169472*S[-5, -1, 1, 1, Infinity] - 
     64512*S[-1, 1, 1, 1, Infinity]^2 + 931840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, 2, 1, -1, 1, 1, Infinity] -> 
  (-1439*S[-1, Infinity]^8)/40320 + (1161*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4427259*S[2, Infinity]^4)/392000 + 
   ((601*S[-1, Infinity]^2)/224 + (31299*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/192 - 
     (75097*S[-1, Infinity]*S[2, Infinity])/896 - (99949*S[3, Infinity])/
      3584)*S[5, Infinity] + (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    4 + S[2, Infinity]^2*((361*S[-1, Infinity]^4)/1344 + 
     (429*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((4853*S[-1, Infinity]^5)/6720 - (1513*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (34403*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3383*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((107*S[-1, Infinity]^6)/720 + (2535*S[-5, -1, Infinity])/
      28 - (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(899*S[-5, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((37*S[-1, Infinity]^7)/1680 - 
     (35*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (5941*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (7407*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((3131*S[-1, Infinity]^2)/128 + (26015*S[2, Infinity])/896)*
      S[5, Infinity] - (643177*S[7, Infinity])/7168 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/64 - 
       (111*S[-1, Infinity]^2*S[2, Infinity])/32 - (307*S[2, Infinity]^2)/
        140 - (21*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-157*S[-5, -1, Infinity] - 
        154*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (433*S[-5, 1, 1, Infinity] - 267*S[5, -1, -1, Infinity] - 
       1736*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2724320*S[-7, -1, Infinity] - 381873*S[5, 3, Infinity] - 
     249600*S[-5, -1, -1, -1, Infinity] - 274560*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 1478400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 2, 1, 1, -1, -1, Infinity] -> 
  (-1147*S[-1, Infinity]^8)/40320 - (3319*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (3888449*S[2, Infinity]^4)/784000 + 
   ((-3025*S[-1, Infinity]^2)/448 - (7061*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((589*S[-1, Infinity]^3)/128 + 
     (45503*S[-1, Infinity]*S[2, Infinity])/896 + (34133*S[3, Infinity])/
      3584)*S[5, Infinity] - (96059*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2873*S[-1, Infinity]^4)/2240 - 
     (2287*S[-1, 1, 1, 1, Infinity])/280) + 
   (9*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((157*S[-1, Infinity]^5)/1120 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (38019*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (61*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (433*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/80 - (2509*S[-5, -1, Infinity])/
      56 - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-73*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/720 + 
     (253*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (5589*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (197*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-1147*S[-1, Infinity]^2)/128 - (1823*S[2, Infinity])/128)*
      S[5, Infinity] + (62749*S[7, Infinity])/1024 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/96 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (27*S[2, Infinity]^2)/64 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-53*S[-1, Infinity]^5)/240 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] + 
        6*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (-18*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (2889920*S[-7, -1, Infinity] + 405943*S[5, 3, Infinity] + 
     264960*S[-5, -1, -1, -1, Infinity] + 268160*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 1415680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 2, 1, 1, -1, 1, Infinity] -> 
  (-25*S[-1, Infinity]^8)/1152 - (599*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (5902569*S[2, Infinity]^4)/784000 + 
   ((-4955*S[-1, Infinity]^2)/1792 - (25771*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/384 + 
     (26909*S[-1, Infinity]*S[2, Infinity])/896 + (141777*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-2473*S[-1, Infinity]^4)/2240 - (75*S[-1, 1, 1, 1, Infinity])/28) + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/28 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (12065*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1409*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((149*S[-1, Infinity]^6)/720 - (338*S[-5, -1, Infinity])/
      7 - (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]^2*(71*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/1680 + 
     (55*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (879*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (649*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-651*S[-1, Infinity]^2)/128 - (8087*S[2, Infinity])/896)*
      S[5, Infinity] + (21449*S[7, Infinity])/448 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/64 + 
       (27*S[-1, Infinity]^2*S[2, Infinity])/32 - (6537*S[2, Infinity]^2)/
        2240 - (35*S[-1, 1, 1, 1, Infinity])/8) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(109*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-53*S[-5, 1, 1, Infinity] + 80*S[5, -1, -1, Infinity] + 
       812*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5183040*S[-7, -1, Infinity] + 657021*S[5, 3, Infinity] + 
     344320*S[-5, -1, -1, -1, Infinity] + 623360*S[-5, -1, 1, 1, Infinity] - 
     197120*S[-1, 1, 1, 1, Infinity]^2 - 3010560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 2, 1, 1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/2016 + (29*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (728389*S[2, Infinity]^4)/784000 + 
   ((79*S[-1, Infinity]^2)/896 + (2463*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 - 
     (11595*S[-1, Infinity]*S[2, Infinity])/896 + (6151*S[3, Infinity])/3584)*
    S[5, Infinity] + (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1823*S[-1, Infinity]^4)/6720 + 
     (29*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((53*S[-1, Infinity]^5)/560 - (269*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (8717*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (97*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(33*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (11*S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/2520 + 
     (83*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (727*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((31*S[-1, Infinity]^2)/128 + (1417*S[2, Infinity])/896)*
      S[5, Infinity] - (12743*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/192 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 - (17*S[2, Infinity]^2)/560 - 
       (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/240 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(2*S[-5, -1, Infinity] + 
        35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-8*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-31160*S[-7, -1, Infinity] - 8979*S[5, 3, Infinity] - 
     9120*S[-5, -1, -1, -1, Infinity] + 3520*S[-5, -1, 1, 1, Infinity] + 
     3360*S[-1, 1, 1, 1, Infinity]^2 + 2240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, -1, 2, 1, 1, 1, 1, Infinity] -> 
  (-61*S[-1, Infinity]^8)/8064 - (323*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (277583*S[2, Infinity]^4)/784000 + 
   ((-2893*S[-1, Infinity]^2)/1792 + (1819*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (991*S[-1, Infinity]*S[2, Infinity])/224 - (8507*S[3, Infinity])/7168)*
    S[5, Infinity] + (23081*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-65*S[-1, Infinity]^4)/336 - 
     (3*S[-1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((393*S[-1, Infinity]^5)/2240 - 
     (745*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (9007*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (25*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/96 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (19*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(19*S[-5, -1, Infinity] + 
      77*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/504 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/32 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (235*S[2, Infinity]*S[5, Infinity])/64 - (8415*S[7, Infinity])/1024 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-35*S[-1, Infinity]^4)/192 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 + 2*S[2, Infinity]^2 + 
       (21*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (-S[-1, Infinity]^5/12 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (5*S[-1, Infinity]*(S[-5, -1, Infinity] + 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-5*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
       24*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-110400*S[-7, -1, Infinity] - 16637*S[5, 3, Infinity] - 
     19200*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, -1, -1, -1, -1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/4032 + (367*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (2289757*S[2, Infinity]^4)/784000 + 
   ((-3727*S[-1, Infinity]^2)/896 - (6697*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 + 
     (7373*S[-1, Infinity]*S[2, Infinity])/224 - (789*S[3, Infinity])/1792)*
    S[5, Infinity] - (1647*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/140 - 
     (227*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/448 + 
     (137*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1695*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/720 - (5*S[-1, Infinity]^4*S[2, Infinity])/24 + 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (10*S[2, Infinity]^3)/7 + 
     ((7*S[-1, Infinity]^3)/32 + (33*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (41*S[3, Infinity]^2)/64 + 
     (93*S[-1, Infinity]*S[5, Infinity])/128 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     2*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(-213*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-649*S[-5, -1, Infinity] + 448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/210 - 
     (121*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (2517*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-93*S[-1, Infinity]^2)/64 - (7635*S[2, Infinity])/896)*
      S[5, Infinity] + (97641*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-65*S[-1, Infinity]^4)/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (131*S[2, Infinity]^2)/224 + 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-123*S[-5, -1, Infinity] + 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-23*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      126*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (62800*S[-7, -1, Infinity] + 11331*S[5, 3, Infinity] + 
     9680*S[-5, -1, -1, -1, Infinity] + 2360*S[-5, -1, 1, 1, Infinity] - 
     1680*S[-1, 1, 1, 1, Infinity]^2 - 14560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[1, 1, -2, -1, -1, -1, 1, Infinity] -> 
  (-409*S[-1, Infinity]^8)/40320 + (289*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (55939*S[2, Infinity]^4)/156800 + 
   ((-1279*S[-1, Infinity]^2)/896 - (7449*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 + 
     (31329*S[-1, Infinity]*S[2, Infinity])/896 + (11147*S[3, Infinity])/896)*
    S[5, Infinity] - (153*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-391*S[-1, Infinity]^4)/1680 - 
     (37*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((163*S[-1, Infinity]^5)/2240 + 
     (883*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (14489*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((61*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(15*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/160 - 
     (S[-1, Infinity]^4*S[2, Infinity])/8 + 
     (93*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (447*S[2, Infinity]^3)/
      1120 + ((7*S[-1, Infinity]^3)/32 + (27*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (105*S[3, Infinity]^2)/64 + 
     (-7*S[-5, -1, Infinity] + 36*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((47*S[-1, Infinity]^7)/5040 - 
     (73*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (1163*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (265*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((279*S[-1, Infinity]^2)/128 - (3979*S[2, Infinity])/896)*
      S[5, Infinity] + (84465*S[7, Infinity])/7168 + 
     (53*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-49*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 - (4943*S[2, Infinity]^2)/
        1120 - (7*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (106*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (111264*S[-7, -1, Infinity] + 23229*S[5, 3, Infinity] + 
     19584*S[-5, -1, -1, -1, Infinity] + 2368*S[-5, -1, 1, 1, Infinity] - 
     2688*S[-1, 1, 1, 1, Infinity]^2 - 32256*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, 1, -2, -1, -1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/5760 + (1909*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (2416961*S[2, Infinity]^4)/784000 + 
   ((-2017*S[-1, Infinity]^2)/1792 - (5015*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((589*S[-1, Infinity]^3)/128 + 
     (16407*S[-1, Infinity]*S[2, Infinity])/896 + (57793*S[3, Infinity])/
      7168)*S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-51*S[-1, Infinity]^4)/112 + 
     (141*S[-1, 1, 1, 1, Infinity])/35) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/3360 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (37283*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(29*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/48 + 
     (279*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (1501*S[2, Infinity]^3)/1120 + ((7*S[-1, Infinity]^3)/32 + 
       (21*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] + 
     (243*S[3, Infinity]^2)/128 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + S[2, Infinity]*
      ((-3*S[-1, Infinity]^4)/16 + (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (15*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (5*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-53*S[-1, Infinity]^7)/5040 - 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (23*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/4 - (2585*S[2, Infinity])/224)*S[5, Infinity] + 
     (38831*S[7, Infinity])/1792 - (S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-31*S[-1, Infinity]^4)/96 + 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 - (3111*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/8) + 
     (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/12 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (582720*S[-7, -1, Infinity] + 122891*S[5, 3, Infinity] + 
     175360*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, -1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/1920 + (2293*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3015171*S[2, Infinity]^4)/784000 + 
   ((-915*S[-1, Infinity]^2)/256 + (4129*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1085*S[-1, Infinity]^3)/128 - 
     (33*S[-1, Infinity]*S[2, Infinity])/128 - (20183*S[3, Infinity])/7168)*
    S[5, Infinity] + (37319*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/28 + 
     (307*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((577*S[-1, Infinity]^5)/6720 - 
     (311*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (119*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (13*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(9*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]^2*
    ((11*S[-1, Infinity]^6)/480 + (251*S[-1, Infinity]^2*S[2, Infinity]^2)/
      160 + (261*S[2, Infinity]^3)/160 + (7*S[-1, Infinity]^3*S[3, Infinity])/
      32 + (147*S[3, Infinity]^2)/128 + (465*S[-1, Infinity]*S[5, Infinity])/
      128 + S[2, Infinity]*((-19*S[-1, Infinity]^4)/96 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-7*S[-5, -1, Infinity] + 18*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-151*S[-5, -1, Infinity] + 784*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-29*S[-1, Infinity]^7)/2520 - 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (201*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (219*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-899*S[-1, Infinity]^2)/64 - (2351*S[2, Infinity])/896)*
      S[5, Infinity] + (118005*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-67*S[-1, Infinity]^4)/192 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 - (1299*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) + 
     (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(17*S[-5, -1, Infinity] + 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-54*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
       252*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-240320*S[-7, -1, Infinity] + 14611*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] - 52480*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 430080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, -1, 1, -1, -1, Infinity] -> 
  (43*S[-1, Infinity]^8)/40320 + (2983*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (935609*S[2, Infinity]^4)/392000 + 
   ((-55*S[-1, Infinity]^2)/224 + (1049*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (1833*S[-1, Infinity]*S[2, Infinity])/896 + (39941*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((211*S[-1, Infinity]^4)/840 + 
     (17*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/6720 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (4677*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/160 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (313*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 + 
     (63*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (143*S[2, Infinity]^3)/
      280 + (45*S[3, Infinity]^2)/64 + S[2, Infinity]*
      ((13*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(79*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1008 + 
     (139*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (837*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (355*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-465*S[-1, Infinity]^2)/32 - (2479*S[2, Infinity])/112)*
      S[5, Infinity] + (369489*S[7, Infinity])/7168 - 
     (71*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (811*S[2, Infinity]^2)/560 + 
       (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-142*S[-5, 1, 1, Infinity] + 
       173*S[5, -1, -1, Infinity] + 532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-981440*S[-7, -1, Infinity] - 147377*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 1218560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/4032 + (2367*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (463*S[2, Infinity]^4)/980 + ((159*S[-1, Infinity]^2)/128 + 
     (485*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/128 - (595*S[-1, Infinity]*S[2, Infinity])/64 + 
     (18475*S[3, Infinity])/7168)*S[5, Infinity] + 
   (259719*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/560 + 
     (71*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-127*S[-1, Infinity]^5)/2240 + 
     (57*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (273*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/480 + 
     (13*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (129*S[2, Infinity]^3)/
      1120 - (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (93*S[-1, Infinity]*S[5, Infinity])/32 + S[2, Infinity]*
      ((11*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/360 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (153*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (1215*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-1767*S[-1, Infinity]^2)/128 - (8235*S[2, Infinity])/896)*
      S[5, Infinity] + (54885*S[7, Infinity])/3584 - 
     (15*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/192 - 
       (S[-1, Infinity]^2*S[2, Infinity])/32 - (1387*S[2, Infinity]^2)/1120 - 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(65*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (19*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-89*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (576*S[-7, -1, Infinity] + 337*S[5, 3, Infinity] - 
     6912*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 7168*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 1, -2, -1, 1, 1, -1, Infinity] -> 
  (-3859*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (188771*S[2, Infinity]^4)/196000 + 
   ((207*S[-1, Infinity]^2)/128 - (2361*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (117*S[-1, Infinity]*S[2, Infinity])/32 - (4113*S[3, Infinity])/448)*
    S[5, Infinity] + (24361*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/420 - 
     (29*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-171*S[-1, Infinity]^5)/2240 + 
     (415*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (559*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-471*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (9*S[2, Infinity]^3)/35 + 
     (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (107*S[3, Infinity]^2)/128 + (155*S[-1, Infinity]*S[5, Infinity])/64 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (19*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (5*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/2520 - 
     (S[-1, Infinity]^5*S[2, Infinity])/240 - 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (531*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (199*S[2, Infinity]^2*S[3, Infinity])/560 + 
     (643*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-465*S[-1, Infinity]^2)/128 - (3889*S[2, Infinity])/896)*
      S[5, Infinity] - (58691*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(16*S[-5, -1, Infinity] - 
        35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      210*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (105120*S[-7, -1, Infinity] + 8761*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[1, 1, -2, -1, 1, 1, 1, Infinity] -> (-17*S[-1, Infinity]^8)/20160 - 
   (1409*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (295171*S[2, Infinity]^4)/392000 + 
   ((-27*S[-1, Infinity]^2)/448 - (99*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((9*S[-1, Infinity]*S[2, Infinity])/7 - (4113*S[3, Infinity])/896)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/1680 - 
     (55*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/560 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/480 - (39*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     S[2, Infinity]^3/35 + S[3, Infinity]^2/64 + 
     S[2, Infinity]*(S[-1, Infinity]^4/32 - (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*(-3*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-239*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/5040 - 
     (S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (2381*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-465*S[-1, Infinity]^2)/128 - (5087*S[2, Infinity])/896)*
      S[5, Infinity] + (136197*S[7, Infinity])/7168 - 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (709*S[2, Infinity]^2)/560 + 
       (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (105120*S[-7, -1, Infinity] + 8761*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2 - 4480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -2, 1, -1, -1, -1, Infinity] -> 
  (-397*S[-1, Infinity]^8)/40320 - (605*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (570163*S[2, Infinity]^4)/392000 + 
   ((5*S[-1, Infinity]^2)/1792 + (4827*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/192 - 
     (23123*S[-1, Infinity]*S[2, Infinity])/896 - (27817*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((991*S[-1, Infinity]^4)/2240 - 
     (183*S[-1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((323*S[-1, Infinity]^5)/1680 - 
     (171*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (28853*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (169*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (116*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]^2*((-11*S[-1, Infinity]^6)/480 - 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (46*S[2, Infinity]^3)/35 - 
     (69*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (321*S[3, Infinity]^2)/256 + S[2, Infinity]*((11*S[-1, Infinity]^4)/32 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(101*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/720 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (1019*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1629*S[2, Infinity]^2*S[3, Infinity])/2240 + 
     (205*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((155*S[-1, Infinity]^2)/128 + (2251*S[2, Infinity])/896)*
      S[5, Infinity] + (16145*S[7, Infinity])/7168 - 
     (41*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + (-41*S[-5, 1, 1, Infinity] + 
       S[5, -1, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-129880*S[-7, -1, Infinity] - 20581*S[5, 3, Infinity] - 
     17280*S[-5, -1, -1, -1, Infinity] - 9600*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2 + 42560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, 1, -2, 1, -1, -1, 1, Infinity] -> 
  (-65*S[-1, Infinity]^8)/8064 - (85*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (1329649*S[2, Infinity]^4)/392000 + 
   ((7095*S[-1, Infinity]^2)/1792 - (1109*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-4309*S[-1, Infinity]^3)/384 - 
     (6025*S[-1, Infinity]*S[2, Infinity])/448 - (1147*S[3, Infinity])/448)*
    S[5, Infinity] + (7429*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((2441*S[-1, Infinity]^4)/6720 - 
     (537*S[-1, 1, 1, 1, Infinity])/280) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((89*S[-1, Infinity]^5)/1344 - 
     (137*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (519*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-59*S[-5, -1, Infinity] - 
       644*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/240 - 
     (219*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (491*S[2, Infinity]^3)/280 - (501*S[3, Infinity]^2)/256 - 
     (279*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((5*S[-1, Infinity]^4)/16 - (3*S[-1, 1, 1, 1, Infinity])/
        4) + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(11*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-159*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/840 + 
     (209*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1019*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (555*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((775*S[-1, Infinity]^2)/64 + (9385*S[2, Infinity])/896)*
      S[5, Infinity] - (221583*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/64 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 + (2703*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-7*S[-1, Infinity]^5)/60 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (3*(29*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity] - 
      133*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (257920*S[-7, -1, Infinity] + 6061*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 39680*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -2, 1, -1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/4032 - (1313*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (73531*S[2, Infinity]^4)/28000 + 
   ((5365*S[-1, Infinity]^2)/1792 - (541*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/48 - 
     (1059*S[-1, Infinity]*S[2, Infinity])/448 - (1855*S[3, Infinity])/1024)*
    S[5, Infinity] + (217627*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/160 + (3*S[-1, 1, 1, 1, Infinity])/
      4) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/160 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (9713*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    (-S[-1, Infinity]^6/40 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-41*S[-5, -1, Infinity] - 44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/288 - 
     (S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (123*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (4*S[2, Infinity]^3)/5 - 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (211*S[3, Infinity]^2)/256 - (31*S[-1, Infinity]*S[5, Infinity])/128 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (17*S[-5, -1, Infinity] - 44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-177*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/2520 + 
     (S[-1, Infinity]^5*S[2, Infinity])/80 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (1173*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (4167*S[2, Infinity]^2*S[3, Infinity])/2240 - 
     (2101*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((713*S[-1, Infinity]^2)/64 + (17517*S[2, Infinity])/896)*
      S[5, Infinity] - (306225*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-17*S[-5, -1, Infinity] - 
        70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (3*(44*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(92*S[-5, 1, 1, Infinity] - 111*S[5, -1, -1, Infinity] - 
      420*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (174400*S[-7, -1, Infinity] + 24141*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 158720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, -2, 1, -1, 1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/4480 + (87*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (60639*S[2, Infinity]^4)/196000 + ((559*S[-1, Infinity]^2)/1792 + 
     (897*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-219*S[-1, Infinity]*S[2, Infinity])/28 - (27677*S[3, Infinity])/7168)*
    S[5, Infinity] + (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/224 + 
     (81*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(S[-1, Infinity]^5/224 - 
     (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (4267*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (81*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (499*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 + 
     (S[-1, Infinity]^4*S[2, Infinity])/32 - 
     (27*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (247*S[2, Infinity]^3)/
      560 - (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/4 - 
     (57*S[3, Infinity]^2)/256 + 
     (3*(S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1680 + 
     (S[-1, Infinity]^5*S[2, Infinity])/80 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (179*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (2699*S[2, Infinity]^2*S[3, Infinity])/2240 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((31*S[-1, Infinity]^2)/8 + (215*S[2, Infinity])/28)*S[5, Infinity] - 
     (44299*S[7, Infinity])/3584 + (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (10*S[-5, 1, 1, Infinity] - 18*S[5, -1, -1, Infinity] + 
       21*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-980800*S[-7, -1, Infinity] - 144201*S[5, 3, Infinity] - 
     93440*S[-5, -1, -1, -1, Infinity] - 103680*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, 1, 1, -1, -1, Infinity] -> 
  (-67*S[-1, Infinity]^8)/13440 + (57*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1265799*S[2, Infinity]^4)/784000 + 
   ((-5263*S[-1, Infinity]^2)/1792 - (527*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((1085*S[-1, Infinity]^3)/384 + 
     (10277*S[-1, Infinity]*S[2, Infinity])/896 + (2915*S[3, Infinity])/7168)*
    S[5, Infinity] - (34213*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-913*S[-1, Infinity]^4)/6720 - 
     (263*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (417600*S[-7, -1, Infinity] + 113999*S[5, 3, Infinity] + 
     113920*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((229*S[-1, Infinity]^5)/1680 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (4549*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(-6*S[-5, -1, Infinity] + 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/1440 - 
     (13*S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (481*S[2, Infinity]^3)/
      560 + ((7*S[-1, Infinity]^3)/96 + (7*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (177*S[3, Infinity]^2)/256 + 
     (31*S[-1, Infinity]*S[5, Infinity])/64 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-13*S[-5, -1, Infinity] + 44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-85*S[-5, -1, Infinity] + 308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-64*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/360 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (701*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (177*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-217*S[-1, Infinity]^2)/64 - (3191*S[2, Infinity])/448)*
      S[5, Infinity] + (134615*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-23*S[-1, Infinity]^4)/192 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (1037*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-23*S[-5, -1, Infinity] + 
        98*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-17*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity] + 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -2, 1, 1, -1, 1, Infinity] -> (-41*S[-1, Infinity]^8)/8064 + 
   (99*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + (626699*S[2, Infinity]^4)/
    784000 + ((-115*S[-1, Infinity]^2)/1792 - (767*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((267*S[-1, Infinity]*S[2, Infinity])/28 + 
     (12043*S[3, Infinity])/7168)*S[5, Infinity] - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-493*S[-1, Infinity]^4)/6720 + 
     (311*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/6720 + 
     (407*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (22109*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/360 + (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
     (293*S[2, Infinity]^3)/560 + ((7*S[-1, Infinity]^3)/96 + 
       (31*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (181*S[3, Infinity]^2)/256 + S[2, Infinity]*(-S[-1, Infinity]^4/12 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (-S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-81*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((37*S[-1, Infinity]^7)/5040 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (85*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (235*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-31*S[-1, Infinity]^2)/128 - (5083*S[2, Infinity])/896)*
      S[5, Infinity] + (50201*S[7, Infinity])/3584 + 
     (47*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-35*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (6233*S[2, Infinity]^2)/2240 - (21*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (47*S[-5, 1, 1, Infinity] + 54*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (614720*S[-7, -1, Infinity] + 132759*S[5, 3, Infinity] + 
     113920*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -2, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/160 + (5*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (141*S[2, Infinity]^4)/5600 + 
   (-S[-1, Infinity]^2/8 - (49*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 - (31*S[-1, Infinity]*S[2, Infinity])/64 - 
     (217*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/480 - S[-1, 1, 1, 1, Infinity]/
      10) + (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   S[-1, 1, 1, 1, Infinity]^2 + S[3, Infinity]*((49*S[-1, Infinity]^5)/960 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-13*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (3*S[2, Infinity]^3)/35 + 
     ((7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (17*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*(S[-1, Infinity]^4/16 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/1008 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (23*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((31*S[-1, Infinity]^2)/32 + S[2, Infinity]/2)*S[5, Infinity] - 
     (155*S[7, Infinity])/256 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/192 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (67*S[2, Infinity]^2)/160 - 
       S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/120 + S[-1, 1, 1, 1, 1, 
        Infinity]) + (S[-5, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 1, -2, 1, 1, 1, 1, Infinity] -> (-7*S[-1, Infinity]^8)/1152 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (1193*S[2, Infinity]^4)/
    2800 + ((-3*S[-1, Infinity]^2)/2 + (47*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 + 
     (33*S[-1, Infinity]*S[2, Infinity])/64 - (295*S[3, Infinity])/256)*
    S[5, Infinity] - (63*S[-1, Infinity]*S[7, Infinity])/32 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]/
      2) + (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/320 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (109*S[-1, Infinity]*S[2, Infinity]^2)/80 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (7*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (11*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/144 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     ((7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (49*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]/2) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      5*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 
     5*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(S[-1, Infinity]^7/84 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/8 - (S[2, Infinity]*S[5, Infinity])/
      2 + (349*S[7, Infinity])/256 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-29*S[-1, Infinity]^4)/192 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 + (67*S[2, Infinity]^2)/160 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/12 + 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, 
        Infinity]) + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-704*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] - 128*S[-1, 1, 1, 1, Infinity]^2 + 
     640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/128, 
 S[1, 1, 2, -1, -1, -1, -1, Infinity] -> (-31*S[-1, Infinity]^8)/8064 - 
   (2059*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (31223*S[2, Infinity]^4)/112000 + 
   ((331*S[-1, Infinity]^2)/128 + (631*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 - (1053*S[-1, Infinity]*S[2, Infinity])/32 - 
     (7495*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((283*S[-1, Infinity]^4)/960 + 
     (33*S[-1, 1, 1, 1, Infinity])/40) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*(S[-1, Infinity]^5/480 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (1621*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     11*S[-1, 1, 1, 1, 1, Infinity]) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/45 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/2 - (659*S[2, Infinity]^3)/1120 - 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/8 - 
     (121*S[3, Infinity]^2)/128 + S[2, Infinity]*((13*S[-1, Infinity]^4)/48 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (19*S[-5, -1, Infinity] - 52*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (131*S[-5, -1, Infinity] - 
       44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((29*S[-1, Infinity]^7)/1260 + 
     (27*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (1691*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (3*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((93*S[-1, Infinity]^2)/64 - (229*S[2, Infinity])/224)*S[5, Infinity] + 
     (93141*S[7, Infinity])/7168 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[3, Infinity]*((35*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (519*S[2, Infinity]^2)/560 - 
       (21*S[-1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + (-5*S[-5, 1, 1, Infinity] + 
       37*S[5, -1, -1, Infinity] + 280*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-168320*S[-7, -1, Infinity] - 32331*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] - 9600*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2 + 56320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, 1, 2, -1, -1, -1, 1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/10080 - (447*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (3563869*S[2, Infinity]^4)/784000 + 
   ((4353*S[-1, Infinity]^2)/896 - (725*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-1581*S[-1, Infinity]^3)/128 - 
     (16585*S[-1, Infinity]*S[2, Infinity])/896 + (29151*S[3, Infinity])/
      3584)*S[5, Infinity] + (37635*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((1681*S[-1, Infinity]^4)/6720 - 
     (253*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/3360 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (167*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (30*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-39*S[-5, -1, Infinity] - 
      98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*((-41*S[-1, Infinity]^6)/1440 - 
     (221*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (67*S[2, Infinity]^3)/35 - (3*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 - (247*S[3, Infinity]^2)/128 - 
     (93*S[-1, Infinity]*S[5, Infinity])/128 + 5*S[-5, -1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^4/3 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     11*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((3*S[-1, Infinity]^7)/112 + (13*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (2153*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (647*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((1581*S[-1, Infinity]^2)/128 + (6015*S[2, Infinity])/448)*
      S[5, Infinity] - (207939*S[7, Infinity])/7168 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/192 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/32 + (59*S[2, Infinity]^2)/70 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-5*S[-1, Infinity]^5)/48 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*(4*S[-5, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (9*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 95*S[5, -1, -1, Infinity] - 
      266*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (171200*S[-7, -1, Infinity] + 32463*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 33920*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 232960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 2, -1, -1, 1, -1, Infinity] -> 
  (103*S[-1, Infinity]^8)/10080 - (1447*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2089*S[2, Infinity]^4)/350 + 
   ((-7*S[-1, Infinity]^5)/120 - (7*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (6927*S[-1, Infinity]*S[2, Infinity]^2)/1120)*S[3, Infinity] + 
   ((163*S[-1, Infinity]^2)/224 - (39*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/32 - (7461*S[-1, Infinity]*S[2, Infinity])/448)*
    S[5, Infinity] + (146487*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/240 - 
     (21*S[-1, 1, 1, 1, Infinity])/20) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   3*S[-1, 1, 1, 1, Infinity]^2 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 - 
     (43*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (149*S[2, Infinity]^3)/70 - 
     (63*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (39*S[3, Infinity]^2)/128 - (465*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((5*S[-1, Infinity]^4)/48 - (9*S[-1, 1, 1, 1, Infinity])/
        4) + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[2, Infinity]*((-77*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(9*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1008 + 
     (S[-1, Infinity]^5*S[2, Infinity])/40 - 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (121*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (163*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((1395*S[-1, Infinity]^2)/128 + (11667*S[2, Infinity])/448)*
      S[5, Infinity] - (200247*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 + (891*S[2, Infinity]^2)/
        280 + (21*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(9*S[-5, -1, Infinity] - 
        35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
        42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 2, -1, -1, 1, 1, Infinity] -> (37*S[-1, Infinity]^8)/2880 + 
   (57*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (712123*S[2, Infinity]^4)/392000 + 
   ((739*S[-1, Infinity]^2)/448 + (4329*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-132*S[-1, Infinity]*S[2, Infinity])/7 - 
     (30307*S[3, Infinity])/1792)*S[5, Infinity] + 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/420 + 
     (17*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-991*S[-1, Infinity]^5)/6720 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (9307*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-121*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (367*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (3*S[2, Infinity]^3)/35 - 
     (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (137*S[3, Infinity]^2)/128 + (3*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/840 + 
     (S[-1, Infinity]^5*S[2, Infinity])/40 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (669*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((7*S[-1, Infinity]^4)/96 + (7*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (2949*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (163*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((465*S[-1, Infinity]^2)/128 + (11667*S[2, Infinity])/896)*
      S[5, Infinity] - (254007*S[7, Infinity])/7168 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-350720*S[-7, -1, Infinity] - 94811*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 62720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 2, -1, 1, -1, -1, Infinity] -> 
  (61*S[-1, Infinity]^8)/2520 + (69*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2095173*S[2, Infinity]^4)/784000 + 
   ((1577*S[-1, Infinity]^2)/896 + (5111*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/32 - 
     (2021*S[-1, Infinity]*S[2, Infinity])/448 + (27379*S[3, Infinity])/3584)*
    S[5, Infinity] - (361775*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-991*S[-1, Infinity]^4)/6720 + 
     (1019*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-2981*S[-1, Infinity]^5)/6720 + 
     (261*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (61*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (45*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/120 - (5*S[-1, Infinity]^4*S[2, Infinity])/32 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (11*S[2, Infinity]^3)/160 + 
     ((-7*S[-1, Infinity]^3)/32 - (21*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (165*S[3, Infinity]^2)/128 - 
     (93*S[-1, Infinity]*S[5, Infinity])/32 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(51*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/360 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-251*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-25*S[-1, Infinity]^7)/1008 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (133*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (121*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-279*S[-1, Infinity]^2)/64 - (219*S[2, Infinity])/32)*S[5, Infinity] + 
     (15453*S[7, Infinity])/1024 + S[3, Infinity]*
      ((83*S[-1, Infinity]^4)/192 + (11*S[-1, Infinity]^2*S[2, Infinity])/
        16 - (43*S[2, Infinity]^2)/32 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] + 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
     (3*(7*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (S[-1, Infinity]*(-30*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-436160*S[-7, -1, Infinity] - 90799*S[5, 3, Infinity] - 
     97280*S[-5, -1, -1, -1, Infinity] + 30080*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 2, -1, 1, -1, 1, Infinity] -> 
  (937*S[-1, Infinity]^8)/40320 - (111*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (97813*S[2, Infinity]^4)/784000 + 
   (-S[-1, Infinity]^2/112 - (397*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/128 - (2571*S[-1, Infinity]*S[2, Infinity])/896 - 
     (6117*S[3, Infinity])/3584)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((403*S[-1, Infinity]^4)/2240 - 
     (397*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-115*S[-1, Infinity]^5)/448 + 
     (199*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (559*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (139*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-73*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-48*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/1440 - 
     (7*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (47*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (113*S[2, Infinity]^3)/
      280 + ((-7*S[-1, Infinity]^3)/32 - (9*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] - (37*S[3, Infinity]^2)/32 + 
     (-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/840 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (1219*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-155*S[-1, Infinity]^2)/128 + (7673*S[2, Infinity])/896)*
      S[5, Infinity] - (63401*S[7, Infinity])/1792 - 
     (117*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((35*S[-1, Infinity]^4)/192 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/16 + (7369*S[2, Infinity]^2)/
        1120 + (21*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (-117*S[-5, 1, 1, Infinity] - 82*S[5, -1, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (60800*S[-7, -1, Infinity] - 7211*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 26240*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 2, -1, 1, 1, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/2688 - (225*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (10553*S[2, Infinity]^4)/392000 + 
   ((2799*S[-1, Infinity]^2)/1792 + (1383*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-899*S[-1, Infinity]^3)/384 - 
     (1565*S[-1, Infinity]*S[2, Infinity])/448 - (24055*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((491*S[-1, Infinity]^4)/1120 - 
     (41*S[-1, 1, 1, 1, Infinity])/35) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-311*S[-1, Infinity]^5)/1680 + 
     (93*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1767*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/144 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-19*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/180 - 
     (77*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (45*S[2, Infinity]^3)/
      224 - (7*S[-1, Infinity]^3*S[3, Infinity])/32 - 
     (31*S[3, Infinity]^2)/32 + S[2, Infinity]*(S[-1, Infinity]^4/24 + 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (4*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-81*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-37*S[-1, Infinity]^7)/2520 - 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (103*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (95*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((341*S[-1, Infinity]^2)/64 + (2617*S[2, Infinity])/448)*
      S[5, Infinity] - (82703*S[7, Infinity])/7168 + 
     (19*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((27*S[-1, Infinity]^4)/64 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/8 + (1037*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/16 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (38*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (46080*S[-7, -1, Infinity] - 697*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 2, -1, 1, 1, 1, Infinity] -> 
  (53*S[-1, Infinity]^8)/4480 - (673*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (72007*S[2, Infinity]^4)/49000 + 
   ((4797*S[-1, Infinity]^2)/1792 + (3243*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 + 
     (67*S[-1, Infinity]*S[2, Infinity])/224 + (1087*S[3, Infinity])/448)*
    S[5, Infinity] - (120417*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1013*S[-1, Infinity]^4)/3360 + 
     (149*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-1889*S[-1, Infinity]^5)/6720 + 
     (881*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (59*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (95*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/360 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(75*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/288 - 
     (13*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (559*S[2, Infinity]^3)/
      1120 + ((-7*S[-1, Infinity]^3)/32 + (21*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + S[3, Infinity]^2/4 - 
     (155*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/96 + S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (5*S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-79*S[-1, Infinity]^7)/5040 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (521*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (403*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((279*S[-1, Infinity]^2)/64 - (4295*S[2, Infinity])/448)*
      S[5, Infinity] + (158131*S[7, Infinity])/7168 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/24 - 
       (83*S[-1, Infinity]^2*S[2, Infinity])/32 - (6149*S[2, Infinity]^2)/
        2240 - (27*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/80 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-55*S[-5, -1, Infinity] + 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (26*S[-5, 1, 1, Infinity] + 61*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-173280*S[-7, -1, Infinity] - 35183*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 2, 1, -1, -1, -1, Infinity] -> 
  (43*S[-1, Infinity]^8)/2240 + (1263*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (110689*S[2, Infinity]^4)/392000 + 
   ((4245*S[-1, Infinity]^2)/896 - (271*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (16071*S[-1, Infinity]*S[2, Infinity])/896 + (11323*S[3, Infinity])/896)*
    S[5, Infinity] - (141153*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1717*S[-1, Infinity]^4)/3360 + 
     (933*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1171*S[-1, Infinity]^5)/2240 + 
     (2057*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (14499*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (69*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (201*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-157*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(95*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/160 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (23*S[2, Infinity]^3)/14 + 
     ((-7*S[-1, Infinity]^3)/96 + (31*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (25*S[3, Infinity]^2)/64 + 
     (279*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^4)/32 + 
       (9*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-249*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-113*S[-1, Infinity]^7)/5040 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (2897*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1431*S[-1, Infinity]*S[3, Infinity]^2)/448 - 
     (3603*S[2, Infinity]*S[5, Infinity])/896 + (28299*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/32 - (681*S[2, Infinity]^2)/
        560 - (27*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-123*S[-5, -1, Infinity] + 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, 2, 1, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/64 - (561*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (712123*S[2, Infinity]^4)/392000 + 
   ((-99*S[-1, Infinity]^2)/112 - (4329*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((132*S[-1, Infinity]*S[2, Infinity])/7 + 
     (30307*S[3, Infinity])/1792)*S[5, Infinity] - 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-673*S[-1, Infinity]^4)/3360 - 
     (17*S[-1, 1, 1, 1, Infinity])/70) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-509*S[-1, Infinity]^5)/3360 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (7543*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (181*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/720 - (S[-1, Infinity]^4*S[2, Infinity])/6 - 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (3*S[2, Infinity]^3)/35 + 
     ((-7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (137*S[3, Infinity]^2)/128 + 
     (-3*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-119*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-367*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/56 - 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (135*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((465*S[-1, Infinity]^2)/128 + (11667*S[2, Infinity])/896)*
      S[5, Infinity] - (254007*S[7, Infinity])/7168 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (597*S[2, Infinity]^2)/560 + 
       (21*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (350720*S[-7, -1, Infinity] + 94811*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 - 188160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 2, 1, -1, 1, -1, Infinity] -> 
  (211*S[-1, Infinity]^8)/13440 + (871*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (899929*S[2, Infinity]^4)/784000 + 
   ((-639*S[-1, Infinity]^2)/1792 - (6201*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 + 
     (12171*S[-1, Infinity]*S[2, Infinity])/896 + (1299*S[3, Infinity])/224)*
    S[5, Infinity] + S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/3360 - 
     (73*S[-1, 1, 1, 1, Infinity])/70) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   3*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-71*S[-1, Infinity]^5)/672 + 
     (257*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1223*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (52*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-255*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + S[1, Infinity]^2*
    ((37*S[-1, Infinity]^6)/1440 + (17*S[-1, Infinity]^2*S[2, Infinity]^2)/
      32 + (55*S[2, Infinity]^3)/112 + ((-7*S[-1, Infinity]^3)/96 + 
       (5*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] + 
     (37*S[3, Infinity]^2)/128 + S[2, Infinity]*((-13*S[-1, Infinity]^4)/96 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-5*S[-5, -1, Infinity] + 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/504 - 
     (16*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (383*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((31*S[-1, Infinity]^2)/8 + (2197*S[2, Infinity])/224)*S[5, Infinity] - 
     (146261*S[7, Infinity])/7168 + (17*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/64 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 + (4489*S[2, Infinity]^2)/
        2240 + 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((37*S[-1, Infinity]^5)/240 - 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (34*S[-5, 1, 1, Infinity] - 99*S[5, -1, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (448320*S[-7, -1, Infinity] + 100127*S[5, 3, Infinity] + 
     76800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 2, 1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/63 + (131*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1104993*S[2, Infinity]^4)/784000 + 
   ((2087*S[-1, Infinity]^2)/1792 + (8635*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1271*S[-1, Infinity]^3)/192 + 
     (1415*S[-1, Infinity]*S[2, Infinity])/896 - (15963*S[3, Infinity])/3584)*
    S[5, Infinity] - (318803*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/1120 + 
     (64*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-179*S[-1, Infinity]^5)/672 + (461*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (2957*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (17*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-67*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(53*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] - 
      98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/36 + 
     (147*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (25*S[2, Infinity]^3)/28 + ((-7*S[-1, Infinity]^3)/96 + 
       (31*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (81*S[3, Infinity]^2)/128 + (31*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-23*S[-1, Infinity]^4)/96 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-17*S[-5, -1, Infinity] + 44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/336 - 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (369*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (227*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-155*S[-1, Infinity]^2)/64 - (6159*S[2, Infinity])/896)*
      S[5, Infinity] + (86271*S[7, Infinity])/3584 + 
     S[3, Infinity]*((15*S[-1, Infinity]^4)/64 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/16 - (1733*S[2, Infinity]^2)/
        2240 - 3*S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/48 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(19*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (3*(-5*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] + 171*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-5720*S[-7, -1, Infinity] - 1789*S[5, 3, Infinity] - 
     1500*S[-5, -1, -1, -1, Infinity] + 380*S[-5, -1, 1, 1, Infinity] + 
     420*S[-1, 1, 1, 1, Infinity]^2 + 2520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/280, S[1, 1, 2, 1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/960 + (663*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (1426371*S[2, Infinity]^4)/392000 + 
   ((27*S[-1, Infinity]^2)/448 + (99*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/7 + (4113*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((95*S[-1, Infinity]^4)/336 + 
     (23*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/560 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (239*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/160 + 
     (27*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (22*S[2, Infinity]^3)/35 - 
     S[3, Infinity]^2/64 + S[2, Infinity]*((13*S[-1, Infinity]^4)/96 - 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/840 + 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (745*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-465*S[-1, Infinity]^2)/128 - (5087*S[2, Infinity])/896)*
      S[5, Infinity] + (136197*S[7, Infinity])/7168 - 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 + (467*S[2, Infinity]^2)/560 + 
       (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-52*S[-5, 1, 1, Infinity] + 
       53*S[5, -1, -1, Infinity] + 560*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-105120*S[-7, -1, Infinity] - 8761*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2 + 156800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, 2, 1, 1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/20160 + (3159*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1188829*S[2, Infinity]^4)/392000 + 
   ((-99*S[-1, Infinity]^2)/224 + (571*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 - 
     (4131*S[-1, Infinity]*S[2, Infinity])/896 + (4113*S[3, Infinity])/896)*
    S[5, Infinity] + (47051*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (-105120*S[-7, -1, Infinity] - 8761*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((103*S[-1, Infinity]^4)/420 - 
     (17*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((15*S[-1, Infinity]^5)/448 - 
     (239*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (757*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*((11*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
     (71*S[2, Infinity]^3)/70 - (3*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/4 + (3*S[3, Infinity]^2)/8 - 
     (31*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      ((7*S[-1, Infinity]^4)/48 - S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(59*S[-5, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (123*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/5040 + 
     (253*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (741*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (545*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-93*S[-1, Infinity]^2)/32 - (1271*S[2, Infinity])/448)*
      S[5, Infinity] + (44573*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (59*S[2, Infinity]^2)/280 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(79*S[-5, -1, Infinity] - 
        252*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
       14*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[1, 1, 2, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/40320 - 
   (3*S[-1, Infinity]^4*S[2, Infinity]^2)/40 - 
   (101*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (188*S[2, Infinity]^4)/35 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/1440 - (S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 - (4*S[2, Infinity]^3)/7 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*(S[-1, Infinity]^7/5040 - 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
     (32*S[-1, Infinity]*S[2, Infinity]^3)/7 - 15*S[7, Infinity] - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] - 
     15*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 15*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, 1, 1, Infinity] - 
   35*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 2, 1, 1, 1, 1, Infinity] -> 
  (4*S[1, Infinity]^2*S[2, Infinity]^3)/7 + (188*S[2, Infinity]^4)/35 - 
   15*S[1, Infinity]*S[7, Infinity], 
 S[1, -1, -1, -2, -1, -1, -1, Infinity] -> (257*S[-1, Infinity]^8)/13440 + 
   (2311*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (94707*S[2, Infinity]^4)/2800 + ((-3555*S[-1, Infinity]^2)/256 - 
     (38411*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-845*S[-1, Infinity]^3)/192 + (52243*S[-1, Infinity]*S[2, Infinity])/
      128 + (183577*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]^2*((-3017*S[-1, Infinity]^4)/960 - 
     (931*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-587*S[-1, Infinity]^5)/320 + 
     (523*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (99333*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1731*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((79*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2803*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-647*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-9*S[-1, Infinity]^7)/560 + 
     (175*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (2231*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/16 - (3517*S[2, Infinity]^2)/224)*
      S[3, Infinity] + (2409*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-11307*S[-1, Infinity]^2)/128 - (143657*S[2, Infinity])/896)*
      S[5, Infinity] + (1590979*S[7, Infinity])/3584 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^5)/16 + 
       (11*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(227*S[-5, -1, Infinity] + 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-591*S[-5, 1, 1, Infinity] + 781*S[5, -1, -1, Infinity] + 
       2604*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1249472*S[-7, -1, Infinity] + 202823*S[5, 3, Infinity] + 
     141568*S[-5, -1, -1, -1, Infinity] + 115712*S[-5, -1, 1, 1, Infinity] - 
     517120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1024, 
 S[1, -1, -1, -2, -1, -1, 1, Infinity] -> (-199*S[-1, Infinity]^8)/40320 + 
   (343*S[-1, Infinity]^2*S[2, Infinity]^3)/32 - (758831*S[2, Infinity]^4)/
    22400 + ((-3249*S[-1, Infinity]^2)/256 - (36909*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-845*S[-1, Infinity]^3)/192 + 
     (48979*S[-1, Infinity]*S[2, Infinity])/128 + (194837*S[3, Infinity])/
      1024)*S[5, Infinity] + S[2, Infinity]^2*
    ((-2869*S[-1, Infinity]^4)/960 - (981*S[-1, 1, 1, 1, Infinity])/40) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1501*S[-1, Infinity]^5)/960 + 
     (1459*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (95671*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1711*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-613*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-691*S[-5, -1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/210 + 
     (221*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (905*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (2409*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-11307*S[-1, Infinity]^2)/128 - (143657*S[2, Infinity])/896)*
      S[5, Infinity] + (1590979*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (1103*S[2, Infinity]^2)/70 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/4 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (11*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(227*S[-5, -1, Infinity] + 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-591*S[-5, 1, 1, Infinity] + 781*S[5, -1, -1, Infinity] + 
       2604*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*(-400192*S[-7, -1, Infinity] - 65265*S[5, 3, Infinity] - 
      44288*S[-5, -1, -1, -1, Infinity] - 38144*S[-5, -1, 1, 1, Infinity] + 
      1536*S[-1, 1, 1, 1, Infinity]^2 + 163840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1024, S[1, -1, -1, -2, -1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/960 + (2963*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (870213*S[2, Infinity]^4)/78400 + 
   ((-2843*S[-1, Infinity]^2)/448 - (102639*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1069*S[-1, Infinity]^3)/384 + 
     (150223*S[-1, Infinity]*S[2, Infinity])/896 + (353035*S[3, Infinity])/
      7168)*S[5, Infinity] - (18975*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/840 - 
     (321*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1097*S[-1, Infinity]^5)/1680 + 
     (5123*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (277547*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (4241*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/9 - (7209*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]^2*(619*S[-5, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/120 + 
     (367*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (769*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     ((-7*S[-1, Infinity]^4)/64 - (21*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (5381*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (20061*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-6471*S[-1, Infinity]^2)/128 - (88237*S[2, Infinity])/896)*
      S[5, Infinity] + (1917295*S[7, Infinity])/7168 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/40 + 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(43*S[-5, -1, Infinity] + 
        210*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-606*S[-5, 1, 1, Infinity] + 955*S[5, -1, -1, Infinity] + 
       2940*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*(1136960*S[-7, -1, Infinity] + 180813*S[5, 3, Infinity] + 
      126208*S[-5, -1, -1, -1, Infinity] + 97792*S[-5, -1, 1, 1, Infinity] + 
      10752*S[-1, 1, 1, 1, Infinity]^2 - 508928*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/7168, S[1, -1, -1, -2, -1, 1, 1, Infinity] -> 
  (43*S[-1, Infinity]^8)/1680 + (1947*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1733101*S[2, Infinity]^4)/112000 + 
   ((-1599*S[-1, Infinity]^2)/256 - (2017*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-221*S[-1, Infinity]^3)/96 + 
     (11491*S[-1, Infinity]*S[2, Infinity])/64 + (27681*S[3, Infinity])/512)*
    S[5, Infinity] + S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/480 - 
     (44*S[-1, 1, 1, 1, Infinity])/5) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-169*S[-1, Infinity]^5)/240 + 
     (697*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (10657*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (655*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/480 - (281*S[-5, -1, Infinity])/
      2 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]^2*(51*S[-5, -1, Infinity] - 
      20*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((-73*S[-1, Infinity]^7)/5040 + 
     (241*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (575*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (18941*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-1455*S[-1, Infinity]^2)/32 - (9613*S[2, Infinity])/112)*
      S[5, Infinity] + (892235*S[7, Infinity])/3584 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-35*S[-1, Infinity]^4)/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (21727*S[2, Infinity]^2)/
        2240 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (6*S[-1, Infinity]*(-6*S[-5, -1, Infinity] - 
        35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-289*S[-5, 1, 1, Infinity] + 418*S[5, -1, -1, Infinity] + 
       1414*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1367360*S[-7, -1, Infinity] + 220787*S[5, 3, Infinity] + 
     156160*S[-5, -1, -1, -1, Infinity] + 112640*S[-5, -1, 1, 1, Infinity] + 
     15360*S[-1, 1, 1, 1, Infinity]^2 - 634880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, -1, -1, -2, 1, -1, -1, Infinity] -> 
  (55*S[-1, Infinity]^8)/8064 - (1459*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (7687647*S[2, Infinity]^4)/392000 + 
   ((4629*S[-1, Infinity]^2)/448 + (133569*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-109*S[-1, Infinity]^3)/384 - 
     (44791*S[-1, Infinity]*S[2, Infinity])/224 - (728689*S[3, Infinity])/
      7168)*S[5, Infinity] + (218619*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((16481*S[-1, Infinity]^4)/6720 + 
     (4407*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((2671*S[-1, Infinity]^5)/3360 - 
     (4943*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (69387*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (45*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (6329*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-299*S[-1, Infinity]^6)/1440 + (2529*S[-5, -1, Infinity])/
      14 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(2041*S[-5, -1, Infinity] - 
      588*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/840 - 
     (583*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (2837*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (20907*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((357*S[-1, Infinity]^2)/8 + (36227*S[2, Infinity])/448)*
      S[5, Infinity] - (831791*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/64 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 + (3655*S[2, Infinity]^2)/
        448 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/5 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-323*S[-5, -1, Infinity] - 
        588*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (603*S[-5, 1, 1, Infinity] - 790*S[5, -1, -1, Infinity] - 
       2772*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(60*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-7266880*S[-7, -1, Infinity] - 1177917*S[5, 3, Infinity] - 
      802560*S[-5, -1, -1, -1, Infinity] - 702720*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 + 3010560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, -1, -1, -2, 1, -1, 1, Infinity] -> 
  (-559*S[-1, Infinity]^8)/40320 - (251*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 + (1736503*S[2, Infinity]^4)/98000 + 
   ((11691*S[-1, Infinity]^2)/1792 + (29651*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((829*S[-1, Infinity]^3)/192 - 
     (150569*S[-1, Infinity]*S[2, Infinity])/896 - (35011*S[3, Infinity])/
      448)*S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((10417*S[-1, Infinity]^4)/6720 + 
     (557*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((2981*S[-1, Infinity]^5)/3360 - (5143*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (147431*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (5269*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/720 + (4703*S[-5, -1, Infinity])/
      28 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(484*S[-5, -1, Infinity] - 
      147*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((29*S[-1, Infinity]^7)/1680 - 
     (49*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (941*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     ((-7*S[-1, Infinity]^4)/64 + (9*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (3477*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (18507*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((5123*S[-1, Infinity]^2)/128 + (65459*S[2, Infinity])/896)*
      S[5, Infinity] - (1444963*S[7, Infinity])/7168 + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 - (7*S[-1, 1, 1, 1, 1, Infinity])/
        2) - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-263*S[-5, -1, Infinity] - 
        588*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(181*S[-5, 1, 1, Infinity] - 239*S[5, -1, -1, Infinity] - 
        812*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-9931200*S[-7, -1, Infinity] - 1613573*S[5, 3, Infinity] - 
     1059840*S[-5, -1, -1, -1, Infinity] - 992000*S[-5, -1, 1, 1, Infinity] + 
     4247040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, -1, -2, 1, 1, -1, Infinity] -> (-289*S[-1, Infinity]^8)/40320 - 
   (2487*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1736271*S[2, Infinity]^4)/784000 + 
   ((-2851*S[-1, Infinity]^2)/1792 - (1385*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((235*S[-1, Infinity]^3)/64 - 
     (4125*S[-1, Infinity]*S[2, Infinity])/896 + (25475*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-521*S[-1, Infinity]^4)/672 - 
     (101*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/2240 - 
     (529*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6029*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (353*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((151*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*(-9*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(293*S[-5, -1, Infinity] - 
      476*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/112 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (331*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (87*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-27*S[-1, Infinity]^2)/64 + (107*S[2, Infinity])/32)*S[5, Infinity] - 
     (2601*S[7, Infinity])/512 + S[3, Infinity]*
      ((-13*S[-1, Infinity]^4)/192 + (27*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (211*S[2, Infinity]^2)/320 - S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/80 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(9*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (240320*S[-7, -1, Infinity] - 14611*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] + 52480*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 430080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, -2, 1, 1, 1, Infinity] -> 
  (-107*S[-1, Infinity]^8)/40320 - (723*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (613621*S[2, Infinity]^4)/784000 + 
   ((2585*S[-1, Infinity]^2)/1792 + (9103*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-75*S[-1, Infinity]^3)/64 - 
     (28159*S[-1, Infinity]*S[2, Infinity])/896 - (52501*S[3, Infinity])/
      7168)*S[5, Infinity] + (134557*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/112 + 
     (15*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((109*S[-1, Infinity]^5)/2240 - (635*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (23487*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (215*S[-1, 1, 1, 1, 1, Infinity])/56) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((19*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (5*(13*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(309*S[-5, -1, Infinity] - 
      476*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/2520 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (209*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (471*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((283*S[-1, Infinity]^2)/64 + (7563*S[2, Infinity])/448)*
      S[5, Infinity] - (38191*S[7, Infinity])/896 + 
     S[3, Infinity]*((-19*S[-1, Infinity]^4)/192 + 
       (33*S[-1, Infinity]^2*S[2, Infinity])/32 + (1013*S[2, Infinity]^2)/
        448 + (5*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/40 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(18*S[-5, -1, Infinity] - 
        49*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (61*S[-5, 1, 1, Infinity] - 142*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-582720*S[-7, -1, Infinity] - 122891*S[5, 3, Infinity] - 
     175360*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] - 
     250880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, 2, -1, -1, -1, Infinity] -> (-41*S[-1, Infinity]^8)/1260 - 
   (6967*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (25969467*S[2, Infinity]^4)/784000 + 
   ((12141*S[-1, Infinity]^2)/896 + (135609*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-4*S[-1, Infinity]^3)/3 - 
     (2986*S[-1, Infinity]*S[2, Infinity])/7 - (175645*S[3, Infinity])/896)*
    S[5, Infinity] + (80833*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((5371*S[-1, Infinity]^4)/1680 + 
     (2691*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1177*S[-1, Infinity]^5)/560 - 
     (127*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (361231*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (3111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-25*S[-1, Infinity]^6)/288 + (19857*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(2329*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((43*S[-1, Infinity]^7)/1680 - 
     (187*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (4163*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (1287*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((1551*S[-1, Infinity]^2)/16 + (19489*S[2, Infinity])/112)*
      S[5, Infinity] - (210473*S[7, Infinity])/448 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/32 + (19073*S[2, Infinity]^2)/1120 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((27*S[-1, Infinity]^5)/80 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (2*S[-1, Infinity]*(-65*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (8*(39*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (3*(1821600*S[-7, -1, Infinity] + 297607*S[5, 3, Infinity] + 
      207040*S[-5, -1, -1, -1, Infinity] + 170400*S[-5, -1, 1, 1, Infinity] + 
      6720*S[-1, 1, 1, 1, Infinity]^2 - 739200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/4480, S[1, -1, -1, 2, -1, -1, 1, Infinity] -> 
  (-1073*S[-1, Infinity]^8)/20160 - (1303*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (1790517*S[2, Infinity]^4)/56000 + 
   ((219*S[-1, Infinity]^2)/16 + (2319*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((337*S[-1, Infinity]^3)/96 - (12457*S[-1, Infinity]*S[2, Infinity])/32 - 
     (43469*S[3, Infinity])/256)*S[5, Infinity] + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((233*S[-1, Infinity]^4)/120 + 
     (219*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((41*S[-1, Infinity]^5)/24 - (757*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (2363*S[-1, Infinity]*S[2, Infinity]^2)/16 - 
     205*S[-1, 1, 1, 1, 1, Infinity]) + 
   (10*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/180 + (1359*S[-5, -1, Infinity])/
      4 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[-1, Infinity]^2*(79*S[-5, -1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((37*S[-1, Infinity]^7)/840 - (421*S[-1, Infinity]^3*S[2, Infinity]^2)/
      120 - (349*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (1317*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((2947*S[-1, Infinity]^2)/32 + (35089*S[2, Infinity])/224)*
      S[5, Infinity] - (761059*S[7, Infinity])/1792 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/16 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/8 + (321*S[2, Infinity]^2)/28 - 
       (21*S[-1, 1, 1, 1, Infinity])/2) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/5 - 
       3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (8*S[-1, Infinity]*(-17*S[-5, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (3*(106*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
        420*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*(502400*S[-7, -1, Infinity] + 81543*S[5, 3, Infinity] + 
      56320*S[-5, -1, -1, -1, Infinity] + 46720*S[-5, -1, 1, 1, Infinity] + 
      3840*S[-1, 1, 1, 1, Infinity]^2 - 204800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1280, S[1, -1, -1, 2, -1, 1, -1, Infinity] -> 
  (-521*S[-1, Infinity]^8)/40320 - (1599*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (2274823*S[2, Infinity]^4)/156800 + 
   ((2565*S[-1, Infinity]^2)/1792 + (114067*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/6 - 
     (80257*S[-1, Infinity]*S[2, Infinity])/448 - (555635*S[3, Infinity])/
      7168)*S[5, Infinity] + (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    8 + S[2, Infinity]^2*((251*S[-1, Infinity]^4)/1680 + 
     (1549*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1619*S[-1, Infinity]^5)/1680 - 
     (5447*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (325979*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (736*S[-1, 1, 1, 1, 1, Infinity])/7) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((79*S[-1, Infinity]^6)/720 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 + (9493*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(781*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/70 - 
     (211*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (4423*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (8373*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1335*S[-1, Infinity]^2)/32 + (34319*S[2, Infinity])/448)*
      S[5, Infinity] - (1529839*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/32 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (15773*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/10 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-83*S[-5, -1, Infinity] - 
        840*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (573*S[-5, 1, 1, Infinity] - 757*S[5, -1, -1, Infinity] - 
       2604*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-4022336*S[-7, -1, Infinity] - 632791*S[5, 3, Infinity] - 
     431360*S[-5, -1, -1, -1, Infinity] - 391168*S[-5, -1, 1, 1, Infinity] + 
     1627136*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, -1, -1, 2, -1, 1, 1, Infinity] -> (-113*S[-1, Infinity]^8)/13440 - 
   (801*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (7376059*S[2, Infinity]^4)/392000 + 
   ((725*S[-1, Infinity]^2)/128 + (31265*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1411*S[-1, Infinity]^3)/384 - 
     (25107*S[-1, Infinity]*S[2, Infinity])/128 - (368111*S[3, Infinity])/
      3584)*S[5, Infinity] + (331475*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((3131*S[-1, Infinity]^4)/3360 + 
     (1727*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1769*S[-1, Infinity]^5)/1680 - 
     (5347*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3061*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (776*S[-1, 1, 1, 1, 1, Infinity])/7) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]^2*
    (13*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4721*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((53*S[-1, Infinity]^7)/5040 - 
     (371*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (2851*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (1459*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((6301*S[-1, Infinity]^2)/128 + (11639*S[2, Infinity])/128)*
      S[5, Infinity] - (132951*S[7, Infinity])/512 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/24 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 + (801*S[2, Infinity]^2)/80 + 
       (19*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (-S[-1, Infinity]^5/240 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (5*S[-1, Infinity]*(-5*S[-5, -1, Infinity] - 
        24*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (95*S[-5, 1, 1, Infinity] - 126*S[5, -1, -1, Infinity] - 
       436*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(92*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-10174720*S[-7, -1, Infinity] - 1646881*S[5, 3, Infinity] - 
     1094400*S[-5, -1, -1, -1, Infinity] - 
     1011200*S[-5, -1, 1, 1, Infinity] + 26880*S[-1, 1, 1, 1, Infinity]^2 + 
     4157440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, -1, 2, 1, -1, -1, Infinity] -> (29*S[-1, Infinity]^8)/2520 + 
   (927*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (13393837*S[2, Infinity]^4)/784000 + 
   ((-20375*S[-1, Infinity]^2)/1792 - (158733*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/192 + 
     (217793*S[-1, Infinity]*S[2, Infinity])/896 + (756551*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((-227*S[-1, Infinity]^4)/112 - 
     (1639*S[-1, 1, 1, 1, Infinity])/140) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-697*S[-1, Infinity]^5)/840 + 
     (5723*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (380189*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (1541*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((197*S[-1, Infinity]^6)/1440 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-10441*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-2547*S[-5, -1, Infinity] + 
      700*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/840 + 
     (73*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (1503*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^4)/64 - (21*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (18527*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (9561*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1455*S[-1, Infinity]^2)/32 - (35891*S[2, Infinity])/448)*
      S[5, Infinity] + (198671*S[7, Infinity])/896 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/40 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] + 
        189*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-561*S[-5, 1, 1, Infinity] + 748*S[5, -1, -1, Infinity] + 
       2436*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (24184640*S[-7, -1, Infinity] + 4051973*S[5, 3, Infinity] + 
     2901760*S[-5, -1, -1, -1, Infinity] + 
     2097920*S[-5, -1, 1, 1, Infinity] - 9605120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 2, 1, -1, 1, Infinity] -> 
  (-253*S[-1, Infinity]^8)/20160 + (963*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (289949*S[2, Infinity]^4)/22400 + 
   ((-7465*S[-1, Infinity]^2)/896 - (2579*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-1907*S[-1, Infinity]^3)/384 + 
     (97801*S[-1, Infinity]*S[2, Infinity])/448 + (46559*S[3, Infinity])/512)*
    S[5, Infinity] + (245139*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/40 - 
     (153*S[-1, 1, 1, 1, Infinity])/10) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-49*S[-1, Infinity]^5)/80 + 
     (247*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (5613*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     114*S[-1, 1, 1, 1, 1, Infinity]) - 
   (5*S[-1, Infinity]^2*(253*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-1479*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/1680 + 
     (49*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (2557*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (8481*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-5169*S[-1, Infinity]^2)/128 - (61591*S[2, Infinity])/896)*
      S[5, Infinity] + (1344229*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/64 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 - (176*S[2, Infinity]^2)/35 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-43*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(103*S[-5, -1, Infinity] + 
        378*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-507*S[-5, 1, 1, Infinity] + 655*S[5, -1, -1, Infinity] + 
       2436*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*(-55232*S[-7, -1, Infinity] - 8937*S[5, 3, Infinity] - 
      6528*S[-5, -1, -1, -1, Infinity] - 4992*S[-5, -1, 1, 1, Infinity] + 
      384*S[-1, 1, 1, 1, Infinity]^2 + 20736*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/256, S[1, -1, -1, 2, 1, 1, -1, Infinity] -> 
  (-79*S[-1, Infinity]^8)/3360 - (219*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (72*S[2, Infinity]^4)/25 - 
   (2643*S[-1, Infinity]^2*S[3, Infinity]^2)/896 + 
   ((23*S[-1, Infinity]^3)/192 - (2097*S[-1, Infinity]*S[2, Infinity])/448 - 
     (7*S[3, Infinity])/2)*S[5, Infinity] + 
   (45273*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((109*S[-1, Infinity]^4)/240 - 
     (24*S[-1, 1, 1, 1, Infinity])/5) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*((101*S[-1, Infinity]^5)/240 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (143*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/160 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity]) + (S[-1, Infinity]^2*(33*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((9*S[-1, Infinity]^7)/560 + 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (59*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (803*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-275*S[-1, Infinity]^2)/64 - (5681*S[2, Infinity])/448)*
      S[5, Infinity] + (124065*S[7, Infinity])/3584 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/96 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (51*S[2, Infinity]^2)/56 + 
       S[-1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((31*S[-1, Infinity]^5)/240 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-13*S[-5, -1, Infinity] + 
        70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-22*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   2*(3*S[-1, 1, 1, 1, Infinity]^2 - 14*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity]), S[1, -1, -1, 2, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/64 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (745723*S[2, Infinity]^4)/392000 + 
   ((-715*S[-1, Infinity]^2)/896 - (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-4*S[-1, Infinity]^3)/3 + 
     (118*S[-1, Infinity]*S[2, Infinity])/7 + (24035*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((-211*S[-1, Infinity]^4)/3360 - 
     (17*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/1680 + 
     (39*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (1947*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/90 - (173*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-123*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/504 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (557*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-91*S[-1, Infinity]^2)/32 - (3441*S[2, Infinity])/224)*
      S[5, Infinity] + (84669*S[7, Infinity])/1792 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 - (787*S[2, Infinity]^2)/140 - 
       (21*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-47*S[-5, -1, Infinity] + 
        70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
       42*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (350720*S[-7, -1, Infinity] + 94811*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2 - 62720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 1, -2, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/2880 - 5*S[-1, Infinity]^2*S[2, Infinity]^3 + 
   (8474271*S[2, Infinity]^4)/392000 + 
   ((13977*S[-1, Infinity]^2)/896 + (186481*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-407*S[-1, Infinity]^3)/96 - 
     (263197*S[-1, Infinity]*S[2, Infinity])/896 - (921835*S[3, Infinity])/
      7168)*S[5, Infinity] + (218619*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((575*S[-1, Infinity]^4)/168 + 
     (1019*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((1517*S[-1, Infinity]^5)/1344 - 
     (1891*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (480497*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (8173*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-289*S[-1, Infinity]^6)/1440 + 
     (12891*S[-5, -1, Infinity])/56 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(2665*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^7)/560 - 
     (175*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (4311*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((7*S[-1, Infinity]^4)/64 - (27*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (16889*S[2, Infinity]^2)/2240)*S[3, Infinity] - 
     (22965*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((3135*S[-1, Infinity]^2)/64 + (37473*S[2, Infinity])/448)*
      S[5, Infinity] - (831791*S[7, Infinity])/3584 + 
     S[2, Infinity]*((91*S[-1, Infinity]^5)/240 - 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*(-173*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (603*S[-5, 1, 1, Infinity] - 790*S[5, -1, -1, Infinity] - 
       2772*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(60*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-29318720*S[-7, -1, Infinity] - 4854033*S[5, 3, Infinity] - 
     3457280*S[-5, -1, -1, -1, Infinity] - 
     2608640*S[-5, -1, 1, 1, Infinity] + 12113920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, -2, -1, -1, 1, Infinity] -> 
  (-533*S[-1, Infinity]^8)/40320 - (2673*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (2543623*S[2, Infinity]^4)/112000 + 
   ((717*S[-1, Infinity]^2)/64 + (23705*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((139*S[-1, Infinity]^3)/384 - 
     (15211*S[-1, Infinity]*S[2, Infinity])/64 - (109929*S[3, Infinity])/
      1024)*S[5, Infinity] + (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    8 + S[2, Infinity]^2*((181*S[-1, Infinity]^4)/80 + 
     (71*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((931*S[-1, Infinity]^5)/960 - (943*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (60439*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (1015*S[-1, 1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-103*S[-1, Infinity]^6)/1440 + (871*S[-5, -1, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(349*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/840 - 
     (707*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (8871*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (20565*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((5681*S[-1, Infinity]^2)/128 + (57535*S[2, Infinity])/896)*
      S[5, Infinity] - (1444963*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 + (18381*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/6 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*(-153*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(181*S[-5, 1, 1, Infinity] - 239*S[5, -1, -1, Infinity] - 
        812*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-3859520*S[-7, -1, Infinity] - 634907*S[5, 3, Infinity] - 
     431360*S[-5, -1, -1, -1, Infinity] - 359680*S[-5, -1, 1, 1, Infinity] + 
     1653760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, -1, 1, -2, -1, 1, -1, Infinity] -> (79*S[-1, Infinity]^8)/20160 - 
   (631*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (2061109*S[2, Infinity]^4)/196000 + 
   ((2211*S[-1, Infinity]^2)/448 + (22845*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((315*S[-1, Infinity]^3)/128 - 
     (119557*S[-1, Infinity]*S[2, Infinity])/896 - (501665*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((3491*S[-1, Infinity]^4)/3360 + (54*S[-1, 1, 1, 1, Infinity])/7) + 
   S[3, Infinity]*((3949*S[-1, Infinity]^5)/6720 - 
     (3949*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (232501*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3949*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (841*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(769*S[-5, -1, Infinity] - 
      210*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/140 - 
     (391*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (223*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (1541*S[2, Infinity]^2*S[3, Infinity])/280 - 
     (1695*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((963*S[-1, Infinity]^2)/32 + (10755*S[2, Infinity])/224)*
      S[5, Infinity] - (475831*S[7, Infinity])/3584 + 
     S[2, Infinity]*(S[-1, Infinity]^5/12 - (13*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(16*S[-5, -1, Infinity] + 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (201*S[-5, 1, 1, Infinity] - 268*S[5, -1, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-14377280*S[-7, -1, Infinity] - 2436319*S[5, 3, Infinity] - 
     1672960*S[-5, -1, -1, -1, Infinity] - 
     1382400*S[-5, -1, 1, 1, Infinity] + 5376000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, -2, -1, 1, 1, Infinity] -> 
  (47*S[-1, Infinity]^8)/8064 - (4891*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4011489*S[2, Infinity]^4)/392000 + 
   ((15023*S[-1, Infinity]^2)/1792 + (101695*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]^3)/128 - 
     (147587*S[-1, Infinity]*S[2, Infinity])/896 - (8913*S[3, Infinity])/112)*
    S[5, Infinity] + (89443*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((797*S[-1, Infinity]^4)/560 + 
     (1091*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((283*S[-1, Infinity]^5)/448 - 
     (2021*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (128391*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (4525*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (3*S[-1, Infinity]^2*(531*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/160 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (6877*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/1008 - 
     (233*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (1017*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (1985*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((2081*S[-1, Infinity]^2)/64 + (27317*S[2, Infinity])/448)*
      S[5, Infinity] - (282637*S[7, Infinity])/1792 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (4979*S[2, Infinity]^2)/
        1120 - (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((37*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-125*S[-5, -1, Infinity] - 
        126*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (115*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-7710400*S[-7, -1, Infinity] - 1301341*S[5, 3, Infinity] - 
     945920*S[-5, -1, -1, -1, Infinity] - 693760*S[-5, -1, 1, 1, Infinity] + 
     2777600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, 1, -2, 1, -1, -1, Infinity] -> (107*S[-1, Infinity]^8)/8064 + 
   (663*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (613449*S[2, Infinity]^4)/49000 + ((-3589*S[-1, Infinity]^2)/448 - 
     (6967*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((29*S[-1, Infinity]^3)/48 + (73959*S[-1, Infinity]*S[2, Infinity])/448 + 
     (575147*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((-6961*S[-1, Infinity]^4)/3360 - 
     (639*S[-1, 1, 1, 1, Infinity])/70) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-4783*S[-1, Infinity]^5)/6720 + 
     (295*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (282337*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (4783*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/40 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-3935*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-803*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/840 + 
     (35*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (3889*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (351*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-2689*S[-1, Infinity]^2)/128 - (3703*S[2, Infinity])/128)*
      S[5, Infinity] + (92279*S[7, Infinity])/1024 - 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/64 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 - (259*S[2, Infinity]^2)/80 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^5)/24 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-36*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity] + 
       144*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (17444800*S[-7, -1, Infinity] + 2914871*S[5, 3, Infinity] + 
     2046720*S[-5, -1, -1, -1, Infinity] + 
     1608960*S[-5, -1, 1, 1, Infinity] - 6630400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, -2, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/336 + (263*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (8072313*S[2, Infinity]^4)/784000 + 
   ((-13429*S[-1, Infinity]^2)/1792 - (103189*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/48 + 
     (35701*S[-1, Infinity]*S[2, Infinity])/224 + (291037*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((-1457*S[-1, Infinity]^4)/672 - (284*S[-1, 1, 1, 1, Infinity])/35) + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-4523*S[-1, Infinity]^5)/6720 + 
     (4439*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (132571*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (4523*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-1503*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-3595*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((3*S[-1, Infinity]^7)/560 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (2489*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/32 - (521*S[2, Infinity]^2)/160)*
      S[3, Infinity] + (351*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-2689*S[-1, Infinity]^2)/128 - (4385*S[2, Infinity])/128)*
      S[5, Infinity] + (92279*S[7, Infinity])/1024 - 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-19*S[-1, Infinity]^5)/80 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-36*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity] + 
       144*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (7895360*S[-7, -1, Infinity] + 1337541*S[5, 3, Infinity] + 
     957440*S[-5, -1, -1, -1, Infinity] + 727040*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, 1, -2, 1, 1, -1, Infinity] -> (-43*S[-1, Infinity]^8)/6720 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (51131*S[2, Infinity]^4)/28000 + ((-971*S[-1, Infinity]^2)/896 + 
     (885*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((635*S[-1, Infinity]^3)/384 - (7409*S[-1, Infinity]*S[2, Infinity])/896 + 
     (1871*S[3, Infinity])/1024)*S[5, Infinity] - 
   (20101*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/80 - (3*S[-1, 1, 1, 1, Infinity])/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/320 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (17021*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (35*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/480 + (29*S[-5, -1, Infinity])/4 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(149*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/240 + 
     (101*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (2241*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-581*S[-1, Infinity]^2)/128 - (7145*S[2, Infinity])/896)*
      S[5, Infinity] + (67773*S[7, Infinity])/3584 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 - (1737*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(45*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-59*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] + 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-174400*S[-7, -1, Infinity] - 24141*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 + 158720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, 1, -2, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/896 - (873*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (33651*S[2, Infinity]^4)/196000 + ((-269*S[-1, Infinity]^2)/896 - 
     (5457*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/24 + (1549*S[-1, Infinity]*S[2, Infinity])/224 + 
     (20845*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((193*S[-1, Infinity]^4)/3360 - 
     (22*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/1344 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (2251*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (219*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/1440 - (239*S[-5, -1, Infinity])/
      28 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-87*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/504 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (149*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (801*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-91*S[-1, Infinity]^2)/32 - (2503*S[2, Infinity])/448)*
      S[5, Infinity] + (115445*S[7, Infinity])/7168 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/48 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (2033*S[2, Infinity]^2)/
        2240 - (13*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(9*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-23*S[-5, 1, 1, Infinity] + 61*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (980800*S[-7, -1, Infinity] + 144201*S[5, 3, Infinity] + 
     93440*S[-5, -1, -1, -1, Infinity] + 103680*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 2, -1, -1, -1, Infinity] -> 
  (269*S[-1, Infinity]^8)/20160 + (107*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 - (8895379*S[2, Infinity]^4)/392000 + 
   ((-20805*S[-1, Infinity]^2)/1792 - (177411*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/192 + 
     (239665*S[-1, Infinity]*S[2, Infinity])/896 + (104637*S[3, Infinity])/
      896)*S[5, Infinity] + S[2, Infinity]^2*
    ((-7201*S[-1, Infinity]^4)/2240 - (4353*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-4493*S[-1, Infinity]^5)/3360 + 
     (7705*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (233111*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (2047*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/180 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1601*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-631*S[-5, -1, Infinity] - 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/112 + 
     (163*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (9451*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (9867*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-5169*S[-1, Infinity]^2)/128 - (56061*S[2, Infinity])/896)*
      S[5, Infinity] + (1344229*S[7, Infinity])/7168 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/32 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 - (12881*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-61*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(81*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-507*S[-5, 1, 1, Infinity] + 655*S[5, -1, -1, Infinity] + 
       2436*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (14442560*S[-7, -1, Infinity] + 2352241*S[5, 3, Infinity] + 
     1642240*S[-5, -1, -1, -1, Infinity] + 
     1319040*S[-5, -1, 1, 1, Infinity] - 6128640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 1, 2, -1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/4480 + (5239*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (17186481*S[2, Infinity]^4)/784000 + 
   ((-23181*S[-1, Infinity]^2)/1792 - (166189*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1999*S[-1, Infinity]^3)/384 + 
     (29291*S[-1, Infinity]*S[2, Infinity])/112 + (445429*S[3, Infinity])/
      3584)*S[5, Infinity] - (245139*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-24587*S[-1, Infinity]^4)/6720 - 
     (3413*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-4183*S[-1, Infinity]^5)/3360 + 
     (3595*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (11093*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (946*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/16 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(3981*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-550*S[-5, -1, Infinity] - 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/84 + 
     (989*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (4313*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((7*S[-1, Infinity]^4)/64 + (21*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (19997*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (10947*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1455*S[-1, Infinity]^2)/32 - (17865*S[2, Infinity])/224)*
      S[5, Infinity] + (198671*S[7, Infinity])/896 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-19*S[-1, Infinity]^5)/60 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(45*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-561*S[-5, 1, 1, Infinity] + 748*S[5, -1, -1, Infinity] + 
       2436*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (6626720*S[-7, -1, Infinity] + 1094241*S[5, 3, Infinity] + 
     752000*S[-5, -1, -1, -1, Infinity] + 609920*S[-5, -1, 1, 1, Infinity] - 
     2840320*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, -1, 1, 2, -1, 1, -1, Infinity] -> (55*S[-1, Infinity]^8)/2016 - 
   (1063*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (101043*S[2, Infinity]^4)/9800 + ((-2815*S[-1, Infinity]^2)/1792 - 
     (42683*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((277*S[-1, Infinity]^3)/48 + (68459*S[-1, Infinity]*S[2, Infinity])/896 + 
     (240337*S[3, Infinity])/7168)*S[5, Infinity] - 
   (88427*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-309*S[-1, Infinity]^4)/1120 + 
     (173*S[-1, 1, 1, 1, Infinity])/70) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1007*S[-1, Infinity]^5)/1344 + 
     (3187*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (136067*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (69*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (655*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 - (3873*S[-5, -1, Infinity])/56 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-317*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^7)/280 + 
     (427*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1011*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (3387*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-3495*S[-1, Infinity]^2)/128 - (36177*S[2, Infinity])/896)*
      S[5, Infinity] + (835367*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/8 - (1829*S[2, Infinity]^2)/448 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(27*S[-5, -1, Infinity] + 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-387*S[-5, 1, 1, Infinity] + 383*S[5, -1, -1, Infinity] + 
       1512*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1601984*S[-7, -1, Infinity] + 237471*S[5, 3, Infinity] + 
     144128*S[-5, -1, -1, -1, Infinity] + 169472*S[-5, -1, 1, 1, Infinity] + 
     64512*S[-1, 1, 1, 1, Infinity]^2 - 931840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, 1, 2, -1, 1, 1, Infinity] -> 
  (1313*S[-1, Infinity]^8)/40320 - (239*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 - (4420889*S[2, Infinity]^4)/392000 + 
   ((-159*S[-1, Infinity]^2)/56 - (28947*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((85*S[-1, Infinity]^3)/192 + 
     (68643*S[-1, Infinity]*S[2, Infinity])/896 + (75267*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/168 - 
     (173*S[-1, 1, 1, 1, Infinity])/28) - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-4027*S[-1, Infinity]^5)/6720 + 
     (317*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (71123*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (823*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-91*S[-1, Infinity]^6)/720 - (2535*S[-5, -1, Infinity])/
      28 + (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(281*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1008 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (7079*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (3427*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-2813*S[-1, Infinity]^2)/128 - (15529*S[2, Infinity])/896)*
      S[5, Infinity] + (481659*S[7, Infinity])/7168 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-43*S[-1, Infinity]^4)/192 + 
       (53*S[-1, Infinity]^2*S[2, Infinity])/16 + (5661*S[2, Infinity]^2)/
        2240 + (43*S[-1, 1, 1, 1, Infinity])/8) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-13*S[-1, Infinity]^5)/240 + S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(82*S[-5, -1, Infinity] + 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-391*S[-5, 1, 1, Infinity] + 225*S[5, -1, -1, Infinity] + 
       1400*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2724320*S[-7, -1, Infinity] + 381873*S[5, 3, Infinity] + 
     249600*S[-5, -1, -1, -1, Infinity] + 274560*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 1478400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 1, 2, 1, -1, -1, Infinity] -> 
  (141*S[-1, Infinity]^8)/4480 + (697*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (8711439*S[2, Infinity]^4)/784000 + 
   ((23355*S[-1, Infinity]^2)/1792 + (80879*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1535*S[-1, Infinity]^3)/384 - 
     (13843*S[-1, Infinity]*S[2, Infinity])/112 - (292171*S[3, Infinity])/
      7168)*S[5, Infinity] - (5277*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (391*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((15139*S[-1, Infinity]^4)/6720 + 
     (3859*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((319*S[-1, Infinity]^5)/6720 - 
     (779*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (188989*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (93*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1787*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/160 + (690*S[-5, -1, Infinity])/
      7 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/840 - 
     (28*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (3223*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (2115*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((1713*S[-1, Infinity]^2)/128 + (20481*S[2, Infinity])/896)*
      S[5, Infinity] - (9827*S[7, Infinity])/112 + 
     (285*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (113*S[2, Infinity]^2)/70 - 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 
       Infinity] + S[2, Infinity]*((11*S[-1, Infinity]^5)/60 + 
       3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, 
        Infinity]) + (45*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] - 
       378*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (3*S[-1, Infinity]*(24*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-13401280*S[-7, -1, Infinity] - 2141841*S[5, 3, Infinity] - 
     1504000*S[-5, -1, -1, -1, Infinity] - 
     1112320*S[-5, -1, 1, 1, Infinity] + 322560*S[-1, 1, 1, 1, Infinity]^2 + 
     6272000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 2, 1, -1, 1, Infinity] -> (25*S[-1, Infinity]^8)/1344 + 
   (1609*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2068467*S[2, Infinity]^4)/196000 + 
   ((4203*S[-1, Infinity]^2)/896 + (457*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((139*S[-1, Infinity]^3)/384 - 
     (1163*S[-1, Infinity]*S[2, Infinity])/14 - (42985*S[3, Infinity])/1792)*
    S[5, Infinity] + (689*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1943*S[-1, Infinity]^4)/1344 + 
     (1387*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((503*S[-1, Infinity]^5)/1344 - 
     (2389*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (8809*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1205*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-67*S[-1, Infinity]^6)/480 + (618*S[-5, -1, Infinity])/
      7 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/240 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (107*S[-1, Infinity]*S[2, Infinity]^3)/28 - 
     (675*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((1155*S[-1, Infinity]^2)/128 + (20745*S[2, Infinity])/896)*
      S[5, Infinity] - (319741*S[7, Infinity])/3584 + 
     (141*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-27*S[-1, Infinity]^4)/64 + 
       (39*S[-1, Infinity]^2*S[2, Infinity])/16 + (6761*S[2, Infinity]^2)/
        1120 + (81*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/240 + 
       (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       5*S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (18*S[-5, 1, 1, Infinity] - 
       115*S[5, -1, -1, Infinity] - 588*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (-5338880*S[-7, -1, Infinity] - 759651*S[5, 3, Infinity] - 
     508160*S[-5, -1, -1, -1, Infinity] - 531200*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 1, 2, 1, 1, -1, Infinity] -> 
  (43*S[-1, Infinity]^8)/20160 + (47*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (373633*S[2, Infinity]^4)/784000 + 
   ((-909*S[-1, Infinity]^2)/1792 - (7501*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-419*S[-1, Infinity]^3)/384 + 
     (15541*S[-1, Infinity]*S[2, Infinity])/896 + (17755*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/3360 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   3*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-151*S[-1, Infinity]^5)/1680 + 
     (89*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (12603*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (51*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (5*(S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/7) - (5*S[-1, Infinity]^2*(15*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/336 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (81*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (95*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((597*S[-1, Infinity]^2)/128 + (1951*S[2, Infinity])/896)*
      S[5, Infinity] - (98579*S[7, Infinity])/7168 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 + (289*S[2, Infinity]^2)/560 + 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 7*S[-1, 1, 1, 1, 1, Infinity]) - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-19*S[-5, -1, Infinity] - 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (38*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5720*S[-7, -1, Infinity] + 1789*S[5, 3, Infinity] + 
     1500*S[-5, -1, -1, -1, Infinity] - 380*S[-5, -1, 1, 1, Infinity] - 
     420*S[-1, 1, 1, 1, Infinity]^2 - 2520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/280, S[1, -1, 1, 2, 1, 1, 1, Infinity] -> 
  (163*S[-1, Infinity]^8)/40320 - (279*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (514929*S[2, Infinity]^4)/784000 + 
   ((3121*S[-1, Infinity]^2)/1792 + (6719*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-163*S[-1, Infinity]^3)/192 - 
     (3917*S[-1, Infinity]*S[2, Infinity])/448 - (1187*S[3, Infinity])/224)*
    S[5, Infinity] - (47051*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/280 + 
     (41*S[-1, 1, 1, 1, Infinity])/140) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/336 + 
     (235*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3743*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (52*S[-1, 1, 1, 1, 1, Infinity])/7) + 3*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/180 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(-11*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (10*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/2520 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (123*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((283*S[-1, Infinity]^2)/64 - (297*S[2, Infinity])/448)*S[5, Infinity] - 
     (6441*S[7, Infinity])/896 + S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 - (333*S[2, Infinity]^2)/280 - 
       (21*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-29*S[-5, -1, Infinity] - 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
       210*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-448320*S[-7, -1, Infinity] - 100127*S[5, 3, Infinity] - 
     76800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -2, -1, -1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/2016 - (2273*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1064603*S[2, Infinity]^4)/112000 + 
   ((-253*S[-1, Infinity]^2)/32 - (5171*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((2333*S[-1, Infinity]^3)/384 + 
     (14863*S[-1, Infinity]*S[2, Infinity])/128 + (3611*S[3, Infinity])/128)*
    S[5, Infinity] - (18975*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-16*S[-1, Infinity]^4)/15 - 
     (67*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-163*S[-1, Infinity]^5)/480 + 
     (69*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (3053*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/96 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-485*S[-5, -1, Infinity] - 192*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/80 + 
     (11*S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (161*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (93*S[2, Infinity]^3)/35 + 
     ((7*S[-1, Infinity]^3)/32 + (15*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (333*S[3, Infinity]^2)/64 + 
     (845*S[-1, Infinity]*S[5, Infinity])/128 + 13*S[-5, -1, Infinity] + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((7*S[-1, Infinity]^7)/720 + 
     (1097*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (7997*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (13863*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-3879*S[-1, Infinity]^2)/64 - (91331*S[2, Infinity])/896)*
      S[5, Infinity] + (1917295*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-61*S[-1, Infinity]^4)/192 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/16 - (10671*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/8 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(169*S[-5, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-606*S[-5, 1, 1, Infinity] + 955*S[5, -1, -1, Infinity] + 
       2940*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (367360*S[-7, -1, Infinity] + 58793*S[5, 3, Infinity] + 
     42880*S[-5, -1, -1, -1, Infinity] + 29120*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2 - 175360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[1, 1, -1, -2, -1, -1, 1, Infinity] -> 
  (9*S[-1, Infinity]^8)/448 - (633*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (516633*S[2, Infinity]^4)/39200 + ((-1125*S[-1, Infinity]^2)/224 - 
     (37419*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((95*S[-1, Infinity]^3)/96 + (24665*S[-1, Infinity]*S[2, Infinity])/224 + 
     (64165*S[3, Infinity])/1792)*S[5, Infinity] - 
   (125*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-871*S[-1, Infinity]^4)/1680 - 
     (171*S[-1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-863*S[-1, Infinity]^5)/3360 + 
     (2755*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (11479*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (326*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-341*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/480 - 
     (271*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (3019*S[2, Infinity]^3)/1120 + ((7*S[-1, Infinity]^3)/32 + 
       (21*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (417*S[3, Infinity]^2)/128 + (845*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((23*S[-1, Infinity]^4)/96 - (3*S[-1, 1, 1, 1, Infinity])/
        4) - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (47*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-23*S[-1, Infinity]^7)/1008 + 3*S[-1, Infinity]^3*
      S[2, Infinity]^2 + (1079*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (1445*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-7107*S[-1, Infinity]^2)/128 - (39999*S[2, Infinity])/448)*
      S[5, Infinity] + (892235*S[7, Infinity])/3584 - 
     (289*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-49*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (2771*S[2, Infinity]^2)/
        280 + (35*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-49*S[-1, Infinity]^5)/240 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - (11*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, 1, Infinity])/2 + (-289*S[-5, 1, 1, Infinity] + 
       418*S[5, -1, -1, Infinity] + 1414*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (286368*S[-7, -1, Infinity] + 48089*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 24000*S[-5, -1, 1, 1, Infinity] + 
     2688*S[-1, 1, 1, 1, Infinity]^2 - 136192*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[1, 1, -1, -2, -1, 1, -1, Infinity] -> 
  (-41*S[-1, Infinity]^8)/40320 + (29*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (4574687*S[2, Infinity]^4)/784000 + 
   ((-2991*S[-1, Infinity]^2)/1792 - (40655*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-23*S[-1, Infinity]^3)/384 + 
     (58189*S[-1, Infinity]*S[2, Infinity])/896 + (33751*S[3, Infinity])/
      1792)*S[5, Infinity] + S[2, Infinity]^2*
    ((-159*S[-1, Infinity]^4)/1120 - (117*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-227*S[-1, Infinity]^5)/840 + 
     (227*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (51857*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (227*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2551*S[-5, -1, Infinity] - 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/80 + 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (107*S[2, Infinity]^3)/80 - 
     (39*S[3, Infinity]^2)/16 + (221*S[-1, Infinity]*S[5, Infinity])/64 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (13*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-305*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/1260 + 
     (63*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (391*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (745*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-3511*S[-1, Infinity]^2)/128 - (37823*S[2, Infinity])/896)*
      S[5, Infinity] + (787257*S[7, Infinity])/7168 - 
     (149*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 - (449*S[2, Infinity]^2)/112 + 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-298*S[-5, 1, 1, Infinity] + 395*S[5, -1, -1, Infinity] + 
       1232*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3281920*S[-7, -1, Infinity] + 504349*S[5, 3, Infinity] + 
     345600*S[-5, -1, -1, -1, Infinity] + 295040*S[-5, -1, 1, 1, Infinity] - 
     1523200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -2, -1, 1, 1, Infinity] -> (-41*S[-1, Infinity]^8)/13440 - 
   (1223*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (190527*S[2, Infinity]^4)/28000 + ((-711*S[-1, Infinity]^2)/256 - 
     (6343*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-23*S[-1, Infinity]^3)/384 + (8491*S[-1, Infinity]*S[2, Infinity])/128 + 
     (22833*S[3, Infinity])/1024)*S[5, Infinity] - 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/8 - (73*S[-1, 1, 1, 1, Infinity])/
      20) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/60 + 
     (115*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (14123*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     34*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((-3*S[-1, Infinity]^6)/160 - (47*S[-1, Infinity]^2*S[2, Infinity]^2)/
      32 - (2141*S[2, Infinity]^3)/1120 - 
     (21*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 - 
     (891*S[3, Infinity]^2)/256 + (221*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*((17*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]/
        4) + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (31*S[-5, -1, Infinity] - 60*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     3*(-13*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/105 - 
     (3*S[-1, Infinity]^5*S[2, Infinity])/20 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/3 + 
     (4023*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (13789*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-3511*S[-1, Infinity]^2)/128 - (37823*S[2, Infinity])/896)*
      S[5, Infinity] + (787257*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/32 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (8343*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (2*S[-1, Infinity]*(46*S[-5, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-298*S[-5, 1, 1, Infinity] + 395*S[5, -1, -1, Infinity] + 
       1232*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (909120*S[-7, -1, Infinity] + 139887*S[5, 3, Infinity] + 
     101120*S[-5, -1, -1, -1, Infinity] + 78080*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2 - 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, -1, -2, 1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/630 - (627*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (2159951*S[2, Infinity]^4)/392000 + 
   ((8191*S[-1, Infinity]^2)/1792 + (54435*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1015*S[-1, Infinity]^3)/384 - 
     (2357*S[-1, Infinity]*S[2, Infinity])/28 - (146675*S[3, Infinity])/3584)*
    S[5, Infinity] + (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((2741*S[-1, Infinity]^4)/3360 + 
     (32*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((1049*S[-1, Infinity]^5)/3360 - (1657*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (62381*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (1049*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(627*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*((-11*S[-1, Infinity]^6)/480 + 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (97*S[2, Infinity]^3)/80 + 
     (111*S[3, Infinity]^2)/64 - (457*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-29*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]) - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-37*S[-5, -1, Infinity] + 60*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (717*S[-5, -1, Infinity] + 175*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/1008 - 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (521*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (575*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((325*S[-1, Infinity]^2)/8 + (54473*S[2, Infinity])/896)*
      S[5, Infinity] - (282637*S[7, Infinity])/1792 + 
     (115*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/48 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (151*S[2, Infinity]^2)/35 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((9*S[-1, Infinity]^5)/40 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (115*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-914240*S[-7, -1, Infinity] - 158311*S[5, 3, Infinity] - 
     117120*S[-5, -1, -1, -1, Infinity] - 80000*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 268800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, -2, 1, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/20160 - (1079*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (124421*S[2, Infinity]^4)/24500 + 
   ((3797*S[-1, Infinity]^2)/1792 + (51757*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-85*S[-1, Infinity]^3)/384 - 
     (4293*S[-1, Infinity]*S[2, Infinity])/56 - (258029*S[3, Infinity])/7168)*
    S[5, Infinity] - (89443*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((887*S[-1, Infinity]^4)/1120 + 
     (124*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((1307*S[-1, Infinity]^5)/3360 - (729*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (133969*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1167*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(705*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 + 
     (39*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + S[2, Infinity]^3 + 
     (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/32 + 
     (501*S[3, Infinity]^2)/256 - (457*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/4 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-10*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3475*S[-5, -1, Infinity] + 308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-29*S[-1, Infinity]^7)/5040 - 
     (269*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (641*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (16479*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((2445*S[-1, Infinity]^2)/64 + (49369*S[2, Infinity])/896)*
      S[5, Infinity] - (475831*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 - 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (12237*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((49*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(141*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (201*S[-5, 1, 1, Infinity] - 268*S[5, -1, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-7963840*S[-7, -1, Infinity] - 1296643*S[5, 3, Infinity] - 
     915200*S[-5, -1, -1, -1, Infinity] - 751360*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 3046400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, -2, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/3360 + (291*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (300771*S[2, Infinity]^4)/196000 + 
   ((-993*S[-1, Infinity]^2)/448 + (2361*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((447*S[-1, Infinity]^3)/128 + 
     (2405*S[-1, Infinity]*S[2, Infinity])/896 + (4113*S[3, Infinity])/448)*
    S[5, Infinity] - (243717*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/168 + 
     (29*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((379*S[-1, Infinity]^5)/3360 - (415*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (4103*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(65*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/1440 + 
     (5*S[-1, Infinity]^4*S[2, Infinity])/32 + 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (11*S[2, Infinity]^3)/35 + 
     ((7*S[-1, Infinity]^3)/96 + (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (107*S[3, Infinity]^2)/128 - 
     (27*S[-1, Infinity]*S[5, Infinity])/64 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-19*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (471*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/2520 - 
     (31*S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (8*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (1889*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^4)/64 - (7*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (199*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (53*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-101*S[-1, Infinity]^2)/128 - (3889*S[2, Infinity])/896)*
      S[5, Infinity] + (192189*S[7, Infinity])/7168 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(23*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-105120*S[-7, -1, Infinity] - 8761*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[1, 1, -1, -2, 1, 1, 1, Infinity] -> (-19*S[-1, Infinity]^8)/4032 + 
   (603*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (384771*S[2, Infinity]^4)/392000 + 
   ((27*S[-1, Infinity]^2)/448 + (1569*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-9*S[-1, Infinity]^3)/64 - 
     (765*S[-1, Infinity]*S[2, Infinity])/448 + (4113*S[3, Infinity])/896)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((39*S[-1, Infinity]^4)/1120 + 
     (93*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((263*S[-1, Infinity]^5)/3360 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (143*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (9*S[2, Infinity]^3)/35 + 
     ((7*S[-1, Infinity]^3)/96 + (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (109*S[3, Infinity]^2)/128 - 
     (27*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-5*S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (58*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/504 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (109*S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((91*S[-1, Infinity]^2)/32 + (599*S[2, Infinity])/448)*S[5, Infinity] - 
     (6441*S[7, Infinity])/896 + (29*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 - (333*S[2, Infinity]^2)/
        280 - (7*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
       14*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-105120*S[-7, -1, Infinity] - 8761*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2 + 4480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, 2, -1, -1, -1, Infinity] -> 
  (-157*S[-1, Infinity]^8)/40320 + (131*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 + (66043*S[2, Infinity]^4)/5600 + 
   ((1821*S[-1, Infinity]^2)/256 + (10991*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-51*S[-1, Infinity]^3)/32 - 
     (6995*S[-1, Infinity]*S[2, Infinity])/64 - (19597*S[3, Infinity])/512)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((339*S[-1, Infinity]^4)/320 + 
     (211*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((79*S[-1, Infinity]^5)/240 - (123*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (5903*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (195*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(29*S[-5, -1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]^2*
    (S[-1, Infinity]^6/240 - (19*S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (161*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (1459*S[2, Infinity]^3)/
      560 + (3*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (501*S[3, Infinity]^2)/128 - (61*S[-1, Infinity]*S[5, Infinity])/16 - 
     10*S[-5, -1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     21*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-11*S[-1, Infinity]^6)/160 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (541*S[-5, -1, Infinity] + 192*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/5040 - 
     (1087*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (4083*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((7*S[-1, Infinity]^4)/64 + (15*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (3031*S[2, Infinity]^2)/320)*S[3, Infinity] - 
     (971*S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((7401*S[-1, Infinity]^2)/128 + (12127*S[2, Infinity])/128)*
      S[5, Infinity] - (132951*S[7, Infinity])/512 + 
     (95*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[2, Infinity]*((73*S[-1, Infinity]^5)/240 - S[-1, 1, 1, 1, 1, 
        Infinity]) + 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (95*S[-5, 1, 1, Infinity] - 126*S[5, -1, -1, Infinity] - 
       436*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-154176*S[-7, -1, Infinity] - 25123*S[5, 3, Infinity] - 
     17920*S[-5, -1, -1, -1, Infinity] - 12928*S[-5, -1, 1, 1, Infinity] + 
     73216*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/512, 
 S[1, 1, -1, 2, -1, -1, 1, Infinity] -> (57*S[-1, Infinity]^8)/4480 + 
   (563*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (9059803*S[2, Infinity]^4)/784000 + 
   ((1139*S[-1, Infinity]^2)/256 + (79977*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((757*S[-1, Infinity]^3)/128 - 
     (13473*S[-1, Infinity]*S[2, Infinity])/128 - (54403*S[3, Infinity])/
      1792)*S[5, Infinity] - (331475*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((7759*S[-1, Infinity]^4)/6720 + 
     (2069*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/140 - 
     (179*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (12723*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1663*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/144 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(-194*S[-5, -1, Infinity] - 
        49*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + S[1, Infinity]^2*
    (S[-1, Infinity]^6/32 + (463*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (3293*S[2, Infinity]^3)/1120 + (39*S[3, Infinity]^2)/8 - 
     (61*S[-1, Infinity]*S[5, Infinity])/16 - 13*S[-5, -1, Infinity] + 
     S[2, Infinity]*((-41*S[-1, Infinity]^4)/96 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-67*S[-1, Infinity]^7)/1680 - (617*S[-1, Infinity]^3*S[2, Infinity]^2)/
      120 - (1117*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (12615*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((805*S[-1, Infinity]^2)/16 + (36027*S[2, Infinity])/448)*
      S[5, Infinity] - (1529839*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/8 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (14303*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/8) + S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((5*S[-1, Infinity]^5)/12 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(247*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (573*S[-5, 1, 1, Infinity] - 757*S[5, -1, -1, Infinity] - 
       2604*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-92*S[-5, 1, 1, Infinity] + 125*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-49135*S[-7, -1, Infinity] - 7582*S[5, 3, Infinity] - 
     5380*S[-5, -1, -1, -1, Infinity] - 4140*S[-5, -1, 1, 1, Infinity] + 
     210*S[-1, 1, 1, 1, Infinity]^2 + 23520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/140, S[1, 1, -1, 2, -1, 1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/20160 + (89*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (1130527*S[2, Infinity]^4)/392000 + 
   ((937*S[-1, Infinity]^2)/896 + (38443*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1151*S[-1, Infinity]^3)/192 - 
     (22205*S[-1, Infinity]*S[2, Infinity])/448 + (197811*S[3, Infinity])/
      7168)*S[5, Infinity] - (185043*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-647*S[-1, Infinity]^4)/1680 - 
     (5*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-251*S[-1, Infinity]^5)/2240 - 
     (103*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (75647*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (59*S[-1, 1, 1, 1, 1, Infinity])/7) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/90 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-211*S[-5, -1, Infinity] - 280*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + S[1, Infinity]^2*(S[-1, Infinity]^6/240 + 
     (S[-1, Infinity]^4*S[2, Infinity])/16 + 
     (93*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (3*S[2, Infinity]^3)/2 + 
     ((-7*S[-1, Infinity]^3)/32 - (21*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (441*S[3, Infinity]^2)/128 - 
     (61*S[-1, Infinity]*S[5, Infinity])/16 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(7*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (3*S[-1, Infinity]^2*(-191*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^7)/280 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 - 
     (2361*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((7*S[-1, Infinity]^4)/16 + (63*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (31*S[2, Infinity]^2)/14)*S[3, Infinity] - 
     (4197*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((185*S[-1, Infinity]^2)/16 + (6025*S[2, Infinity])/224)*
      S[5, Infinity] - (280297*S[7, Infinity])/3584 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(23*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-15*S[-5, 1, 1, Infinity] - 127*S[5, -1, -1, Infinity] - 
       420*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-5620800*S[-7, -1, Infinity] - 826201*S[5, 3, Infinity] - 
     682240*S[-5, -1, -1, -1, Infinity] - 151040*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 4121600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 2, -1, 1, 1, Infinity] -> 
  (-41*S[-1, Infinity]^8)/10080 + (739*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4879359*S[2, Infinity]^4)/784000 + 
   ((3135*S[-1, Infinity]^2)/896 + (27581*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-61*S[-1, Infinity]^3)/48 - 
     (6043*S[-1, Infinity]*S[2, Infinity])/112 - (2197*S[3, Infinity])/3584)*
    S[5, Infinity] + (117*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-673*S[-1, Infinity]^4)/3360 + 
     (43*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1193*S[-1, Infinity]^5)/6720 - 
     (457*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (9693*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/7) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-31*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/480 + 
     (51*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (1991*S[2, Infinity]^3)/
      1120 - (7*S[-1, Infinity]^3*S[3, Infinity])/32 + 
     (405*S[3, Infinity]^2)/256 - (61*S[-1, Infinity]*S[5, Infinity])/16 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/
        4) + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-23*S[-5, -1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/840 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (2621*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (2509*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1205*S[-1, Infinity]^2)/64 + (17137*S[2, Infinity])/448)*
      S[5, Infinity] - (116335*S[7, Infinity])/896 + 
     (37*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((91*S[-1, Infinity]^4)/192 + 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 + (19403*S[2, Infinity]^2)/
        2240 - (7*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((5*S[-1, Infinity]^5)/48 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (37*S[-5, 1, 1, Infinity] - 180*S[5, -1, -1, Infinity] - 
       700*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-1899200*S[-7, -1, Infinity] - 391833*S[5, 3, Infinity] - 
     299520*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 2, 1, -1, -1, Infinity] -> 
  (341*S[-1, Infinity]^8)/13440 - (191*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 - (244747*S[2, Infinity]^4)/28000 + 
   ((97*S[-1, Infinity]^2)/896 - (2715*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((571*S[-1, Infinity]^3)/128 + 
     (29475*S[-1, Infinity]*S[2, Infinity])/896 + (23375*S[3, Infinity])/
      1024)*S[5, Infinity] - (88427*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-961*S[-1, Infinity]^4)/960 + 
     (37*S[-1, 1, 1, 1, Infinity])/40) - 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-221*S[-1, Infinity]^5)/320 + 
     (271*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (70191*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     26*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/480 + (25*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (263*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (1133*S[2, Infinity]^3)/560 + ((-7*S[-1, Infinity]^3)/32 - 
       (21*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (237*S[3, Infinity]^2)/128 + (35*S[-1, Infinity]*S[5, Infinity])/64 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (43*S[-5, -1, Infinity] - 108*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-89*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-79*S[-5, -1, Infinity] - 36*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (3*S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/560 + 
     (141*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (5721*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (14031*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-435*S[-1, Infinity]^2)/16 - (9193*S[2, Infinity])/224)*
      S[5, Infinity] + (835367*S[7, Infinity])/7168 + 
     S[3, Infinity]*((15*S[-1, Infinity]^4)/32 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (2123*S[2, Infinity]^2)/
        448 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-31*S[-1, Infinity]^5)/240 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(75*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-387*S[-5, 1, 1, Infinity] + 383*S[5, -1, -1, Infinity] + 
       1512*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (482240*S[-7, -1, Infinity] + 66407*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 65280*S[-5, -1, 1, 1, Infinity] + 
     23040*S[-1, 1, 1, 1, Infinity]^2 - 307200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, -1, 2, 1, -1, 1, Infinity] -> 
  (1573*S[-1, Infinity]^8)/40320 - (429*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (2806241*S[2, Infinity]^4)/392000 + 
   ((-1389*S[-1, Infinity]^2)/896 - (27507*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-111*S[-1, Infinity]^3)/128 + 
     (24165*S[-1, Infinity]*S[2, Infinity])/896 + (23719*S[3, Infinity])/
      3584)*S[5, Infinity] - (69*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-515*S[-1, Infinity]^4)/1344 - 
     (981*S[-1, 1, 1, 1, Infinity])/280) - 
   (29*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3061*S[-1, Infinity]^5)/6720 + 
     (1115*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (339*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (389*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-73*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-557*S[-5, -1, Infinity] - 147*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/240 - 
     (53*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (71*S[2, Infinity]^3)/56 + 
     ((-7*S[-1, Infinity]^3)/32 - (3*S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] - (723*S[3, Infinity]^2)/256 + 
     (35*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (S[-1, Infinity]^4/24 - (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (17*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-281*S[-1, Infinity]^7)/5040 + 
     (469*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (6179*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (7967*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1399*S[-1, Infinity]^2)/64 - (10883*S[2, Infinity])/448)*
      S[5, Infinity] + (481659*S[7, Infinity])/7168 - 
     (391*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/64 + 
       (87*S[-1, Infinity]^2*S[2, Infinity])/32 + (1307*S[2, Infinity]^2)/
        280 + (63*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-391*S[-5, 1, 1, Infinity] + 
       225*S[5, -1, -1, Infinity] + 1400*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (2344000*S[-7, -1, Infinity] + 311049*S[5, 3, Infinity] + 
     176640*S[-5, -1, -1, -1, Infinity] + 280320*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 1344000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 2, 1, 1, -1, Infinity] -> 
  (107*S[-1, Infinity]^8)/4480 + (219*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (195803*S[2, Infinity]^4)/196000 + 
   ((1845*S[-1, Infinity]^2)/1792 - (3817*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-111*S[-1, Infinity]^3)/128 + 
     (6589*S[-1, Infinity]*S[2, Infinity])/448 - (1087*S[3, Infinity])/448)*
    S[5, Infinity] + S[2, Infinity]^2*((799*S[-1, Infinity]^4)/1680 - 
     (107*S[-1, 1, 1, 1, Infinity])/140) - 
   (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-683*S[-1, Infinity]^5)/3360 + 
     (487*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2173*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (95*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-227*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(10*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-187*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/288 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + S[2, Infinity]^3/35 + 
     ((-7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (73*S[3, Infinity]^2)/128 + 
     2*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      ((-5*S[-1, Infinity]^4)/32 - S[-1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (11*S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-107*S[-1, Infinity]^7)/2520 - 
     (27*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-101*S[-1, Infinity]^2)/128 + (2357*S[2, Infinity])/896)*
      S[5, Infinity] - (20443*S[7, Infinity])/1792 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (1003*S[2, Infinity]^2)/
        560 + (31*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/30 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-2*S[-5, 1, 1, Infinity] - 
       9*S[5, -1, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (173280*S[-7, -1, Infinity] + 35183*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     22400*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, 2, 1, 1, 1, Infinity] -> 
  (881*S[-1, Infinity]^8)/40320 + (1129*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (190103*S[2, Infinity]^4)/392000 + 
   ((5247*S[-1, Infinity]^2)/1792 - (3273*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((115*S[-1, Infinity]^3)/64 + 
     (15607*S[-1, Infinity]*S[2, Infinity])/896 + (24055*S[3, Infinity])/
      3584)*S[5, Infinity] - (232767*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (11*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    28 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1201*S[-1, Infinity]^4)/3360 + 
     (76*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-481*S[-1, Infinity]^5)/1120 + (1675*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (2395*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-127*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (201*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((13*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (9*S[2, Infinity]^3)/35 + 
     ((-7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (11*S[3, Infinity]^2)/128 + 
     2*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      ((-5*S[-1, Infinity]^4)/48 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-19*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/840 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (243*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (397*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-221*S[-1, Infinity]^2)/64 - (1041*S[2, Infinity])/112)*
      S[5, Infinity] + (150995*S[7, Infinity])/7168 + 
     S[3, Infinity]*((29*S[-1, Infinity]^4)/64 - 
       (73*S[-1, Infinity]^2*S[2, Infinity])/32 - (106*S[2, Infinity]^2)/35 - 
       3*S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((21*S[-1, Infinity]^5)/80 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-25*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(6*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-46080*S[-7, -1, Infinity] + 697*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, -2, -1, -1, -1, Infinity] -> 
  (83*S[-1, Infinity]^8)/13440 - (233*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (1113093*S[2, Infinity]^4)/784000 + 
   ((95*S[-1, Infinity]^2)/448 - (2731*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 - 
     (33*S[-1, Infinity]*S[2, Infinity])/896 - (2299*S[3, Infinity])/1344)*
    S[5, Infinity] + S[2, Infinity]^2*((-249*S[-1, Infinity]^4)/2240 - 
     (93*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/144 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/48 + 
     ((7*S[-1, Infinity]^2)/32 + (9*S[2, Infinity])/32)*S[3, Infinity] + 
     (101*S[5, Infinity])/384 + (5*S[-1, 1, 1, 1, 1, Infinity])/6) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-367*S[-1, Infinity]^5)/5040 - 
     (589*S[-1, Infinity]^3*S[2, Infinity])/1008 - 
     (1753*S[-1, Infinity]*S[2, Infinity]^2)/6720 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (251*S[-1, 1, 1, 1, 1, Infinity])/84) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/288 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-235*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((11*S[-1, Infinity]^6)/720 - 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (431*S[2, Infinity]^3)/
      1120 + ((-7*S[-1, Infinity]^3)/16 - (21*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] - (269*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/8 - S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-83*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/252 - 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (121*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (561*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((589*S[-1, Infinity]^2)/64 + (16211*S[2, Infinity])/896)*
      S[5, Infinity] - (38191*S[7, Infinity])/896 + 
     (61*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((49*S[-1, Infinity]^4)/192 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/16 + (7893*S[2, Infinity]^2)/
        2240 + (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (61*S[-5, 1, 1, Infinity] - 142*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (261760*S[-7, -1, Infinity] + 35351*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 322560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, -2, -1, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/2240 - (1811*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (19751*S[2, Infinity]^4)/392000 + 
   ((-11*S[-1, Infinity]^2)/64 + (3629*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 + 
     (79*S[-1, Infinity]*S[2, Infinity])/128 + (799*S[3, Infinity])/672)*
    S[5, Infinity] - (134557*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/448 + 
     (25*S[-1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/1260 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/504 + 
     (173*S[-1, Infinity]*S[2, Infinity]^2)/240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (101*S[-1, 1, 1, 1, 1, Infinity])/84) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 - (7*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/30 + 
     ((7*S[-1, Infinity]^2)/32 - (7*S[2, Infinity])/32)*S[3, Infinity] + 
     (845*S[5, Infinity])/384 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + (11*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (215*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/480 - 
     (47*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (3*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^3)/16 + (21*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (165*S[3, Infinity]^2)/256 - 
     (93*S[-1, Infinity]*S[5, Infinity])/16 + S[2, Infinity]*
      ((-5*S[-1, Infinity]^4)/48 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-27*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-67*S[-1, Infinity]^7)/5040 - 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
     (263*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (223*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((651*S[-1, Infinity]^2)/64 + (1327*S[2, Infinity])/128)*
      S[5, Infinity] - (2601*S[7, Infinity])/512 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/64 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (71*S[2, Infinity]^2)/320 - 
       S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/48 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (9*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-11*S[-5, -1, Infinity] + 
        20*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-294720*S[-7, -1, Infinity] - 53861*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 125440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, -2, -1, 1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/1152 + (57*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (1461193*S[2, Infinity]^4)/784000 + 
   ((-3081*S[-1, Infinity]^2)/1792 + (2469*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (13*S[-1, Infinity]*S[2, Infinity])/112 + (49393*S[3, Infinity])/5376)*
    S[5, Infinity] - (243717*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/3360 - 
     (81*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((451*S[-1, Infinity]^5)/4032 - 
     (205*S[-1, Infinity]^3*S[2, Infinity])/504 - 
     (1837*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (163*S[-1, 1, 1, 1, 1, Infinity])/42) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/360 + 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (29*S[-1, Infinity]*S[2, Infinity]^2)/80 + (221*S[5, Infinity])/192 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/6) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(-27*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   S[1, Infinity]^2*(-(S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (139*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (8*S[2, Infinity]^3)/35 + 
     (45*S[3, Infinity]^2)/32 - (465*S[-1, Infinity]*S[5, Infinity])/128 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(5*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(17*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/2520 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (3363*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^4)/192 - (7*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (199*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (1157*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((155*S[-1, Infinity]^2)/64 - (795*S[2, Infinity])/896)*S[5, Infinity] + 
     (192189*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-111*S[-5, -1, Infinity] + 
        280*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-315360*S[-7, -1, Infinity] - 26283*S[5, 3, Infinity] - 
     5760*S[-5, -1, -1, -1, Infinity] - 27840*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 304640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, -2, -1, 1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/6720 + (61*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (491*S[2, Infinity]^4)/3200 + ((-143*S[-1, Infinity]^2)/256 + 
     (19*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((15*S[-1, Infinity]*S[2, Infinity])/4 + (23197*S[3, Infinity])/3072)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/64 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (837*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/240 - (3*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[2, Infinity]*S[3, Infinity])/32 - (23*S[5, Infinity])/384 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/1440 - (S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (43*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (3*S[2, Infinity]^3)/35 + 
     (131*S[3, Infinity]^2)/256 + (-15*S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (5*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*(S[-1, Infinity]^7/5040 - 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/16 + 
     ((-7*S[-1, Infinity]^4)/192 - (7*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (187*S[2, Infinity]^2)/1120)*S[3, Infinity] - 
     (817*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((155*S[-1, Infinity]^2)/64 + (1037*S[2, Infinity])/896)*
      S[5, Infinity] - (6441*S[7, Infinity])/896 + 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 + (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
       14*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-8000*S[-7, -1, Infinity] + 1207*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2 - 1024*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[1, 1, 1, -2, 1, -1, -1, Infinity] -> 
  (-109*S[-1, Infinity]^8)/20160 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (971513*S[2, Infinity]^4)/784000 + 
   ((-341*S[-1, Infinity]^2)/256 + (569*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (59*S[-1, Infinity]*S[2, Infinity])/16 - (34553*S[3, Infinity])/10752)*
    S[5, Infinity] - (20101*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/1344 - 
     (51*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((2327*S[-1, Infinity]^5)/20160 - 
     (691*S[-1, Infinity]^3*S[2, Infinity])/1008 - 
     (3613*S[-1, Infinity]*S[2, Infinity]^2)/960 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (251*S[-1, 1, 1, 1, 1, Infinity])/42) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/90 + (11*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/240 - (457*S[5, Infinity])/384 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/1440 + (379*S[-5, -1, Infinity])/
      56 - (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (41*S[2, Infinity]^3)/560 - 
     (9*S[3, Infinity]^2)/64 + (341*S[-1, Infinity]*S[5, Infinity])/128 + 
     (3*S[-5, -1, Infinity])/8 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/720 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/70 + 
     (2479*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-465*S[-1, Infinity]^2)/64 - (643*S[2, Infinity])/56)*S[5, Infinity] + 
     (67773*S[7, Infinity])/3584 + S[3, Infinity]*
      ((-3*S[-1, Infinity]^4)/64 + (9*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (1247*S[2, Infinity]^2)/2240 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(73*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-59*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] + 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-447360*S[-7, -1, Infinity] - 64871*S[5, 3, Infinity] - 
     43520*S[-5, -1, -1, -1, Infinity] - 37120*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 340480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, -2, 1, -1, 1, Infinity] -> 
  (-277*S[-1, Infinity]^8)/40320 - (169*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (15109*S[2, Infinity]^4)/56000 + 
   ((59*S[-1, Infinity]^2)/256 + (27*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/192 - (271*S[-1, Infinity]*S[2, Infinity])/64 - 
     (5471*S[3, Infinity])/3072)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/320 + 
     (9*S[-1, 1, 1, 1, Infinity])/40) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/960 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (839*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/240 + (S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (S[2, Infinity]*S[3, Infinity])/32 - (29*S[5, Infinity])/96 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/45 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/720 + 
     (S[-1, Infinity]^4*S[2, Infinity])/48 - 
     (41*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (101*S[2, Infinity]^3)/
      560 - (5*S[3, Infinity]^2)/256 + 
     (S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((2*S[-1, Infinity]^7)/315 + 
     (4*S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (551*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (411*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-93*S[-1, Infinity]^2)/32 - (3315*S[2, Infinity])/448)*
      S[5, Infinity] + (115445*S[7, Infinity])/7168 - 
     (23*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (3937*S[2, Infinity]^2)/
        2240 - (7*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-23*S[-5, 1, 1, Infinity] + 61*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-13760*S[-7, -1, Infinity] - 5777*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, 1, -2, 1, 1, -1, Infinity] -> 
  (61*S[-1, Infinity]^8)/40320 - (7*S[-1, Infinity]^4*S[2, Infinity]^2)/48 + 
   (57*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (639*S[2, Infinity]^4)/1400 + 
   (S[-1, Infinity]^2/48 - (323*S[2, Infinity])/768)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/192 + (31*S[-1, Infinity]*S[2, Infinity])/64 + 
     (917*S[3, Infinity])/768)*S[5, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/96 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (17*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (49*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]/
        4) - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/720 - 
     (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     ((7*S[-1, Infinity]^2)/96 + (7*S[2, Infinity])/96)*S[3, Infinity] + 
     S[5, Infinity]/48 + S[-1, 1, 1, 1, 1, Infinity]/6) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/288 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (5*S[-1, Infinity]*S[2, Infinity]^2)/48 + 
     (25*S[-1, 1, 1, 1, 1, Infinity])/12) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-11*S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/1680 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((31*S[-1, Infinity]^2)/64 + (193*S[2, Infinity])/64)*S[5, Infinity] - 
     (563*S[7, Infinity])/64 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 + 
       (27*S[-1, Infinity]^2*S[2, Infinity])/32 + (35*S[2, Infinity]^2)/32 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (-S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (704*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] + 128*S[-1, 1, 1, 1, Infinity]^2 - 
     640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/128, 
 S[1, 1, 1, -2, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (1251*S[2, Infinity]^4)/5600 + 
   ((7*S[-1, Infinity]^2)/48 - (67*S[2, Infinity])/768)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/32 + (145*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/80 + 
     (3*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[-1, 1, 1, 1, Infinity]^2 + S[1, Infinity]^3*(-S[-1, Infinity]^5/180 + 
     (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     ((7*S[-1, Infinity]^2)/96 - (7*S[2, Infinity])/96)*S[3, Infinity] - 
     (9*S[5, Infinity])/64 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     S[-1, 1, 1, 1, 1, Infinity]/6) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/1440 - (13*S[-1, Infinity]^3*S[2, Infinity])/
      144 + (21*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/12) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/72 + (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (9*S[2, Infinity]^3)/80 + ((-7*S[-1, Infinity]^3)/48 + 
       (7*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (17*S[3, Infinity]^2)/256 + (31*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/
        4) - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/126 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (3*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     (81*S[2, Infinity]*S[5, Infinity])/32 - (563*S[7, Infinity])/64 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/32 + (21*S[2, Infinity]^2)/32 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - S[-1, Infinity]*(S[-5, -1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (-S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 1, 1, 2, -1, -1, -1, Infinity] -> (-223*S[-1, Infinity]^8)/13440 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (2640769*S[2, Infinity]^4)/
    784000 + ((-451*S[-1, Infinity]^2)/112 + (215*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (389*S[-1, Infinity]*S[2, Infinity])/448 - (47633*S[3, Infinity])/5376)*
    S[5, Infinity] + (45273*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/1120 - 
     (393*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((947*S[-1, Infinity]^5)/2520 - 
     (571*S[-1, Infinity]^3*S[2, Infinity])/504 - 
     (30203*S[-1, Infinity]*S[2, Infinity]^2)/6720 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (403*S[-1, 1, 1, 1, 1, Infinity])/42) + S[1, Infinity]^3*
    ((-7*S[-1, Infinity]^5)/720 + (13*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/48 - 
     (S[2, Infinity]*S[3, Infinity])/16 - (61*S[5, Infinity])/48 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + S[2, Infinity]*
    ((29*S[-1, Infinity]^6)/288 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(-95*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/80 + 
     (S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (53*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (17*S[2, Infinity]^3)/35 + 
     ((7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (25*S[3, Infinity]^2)/128 + 
     (93*S[-1, Infinity]*S[5, Infinity])/32 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(151*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/84 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (57*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (1741*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-589*S[-1, Infinity]^2)/64 - (8285*S[2, Infinity])/448)*
      S[5, Infinity] + (124065*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/4 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 - (727*S[2, Infinity]^2)/
        560 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/20 - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-22*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 197120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, 2, -1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/720 - (S[-1, Infinity]^4*S[2, Infinity]^2)/48 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (49*S[2, Infinity]*S[3, Infinity]^2)/64 - 
   (29*S[3, Infinity]*S[5, Infinity])/48 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/720 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (29*S[-1, Infinity]*S[2, Infinity]^2)/240 - 
     (25*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 + (5*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/120 - (29*S[5, Infinity])/96 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/288 + 
     (5*S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     ((7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (49*S[3, Infinity]^2)/64 + 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/80 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/560 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (61*S[-1, Infinity]*S[2, Infinity]^3)/70 - 
     (15*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-155*S[-1, Infinity]^2)/32 - (1023*S[2, Infinity])/56)*
      S[5, Infinity] + (84669*S[7, Infinity])/1792 + 
     (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-35*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (787*S[2, Infinity]^2)/140 - (21*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + (6*S[-5, 1, 1, Infinity] + 
       41*S[5, -1, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-9*S[-1, 1, 1, 1, Infinity]^2 + 14*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/
    2, S[1, 1, 1, 2, -1, 1, -1, Infinity] -> (-19*S[-1, Infinity]^8)/896 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (391683*S[2, Infinity]^4)/
    784000 + ((-1787*S[-1, Infinity]^2)/1792 - (285*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 + 
     (2091*S[-1, Infinity]*S[2, Infinity])/896 + (16001*S[3, Infinity])/
      21504)*S[5, Infinity] + S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/168 + 
     (6*S[-1, 1, 1, 1, Infinity])/7) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((68*S[-1, Infinity]^5)/315 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/2016 - 
     (6623*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     (103*S[-1, 1, 1, 1, 1, Infinity])/21) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 - (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (83*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((-7*S[-1, Infinity]^2)/32 - (7*S[2, Infinity])/32)*S[3, Infinity] - 
     (85*S[5, Infinity])/384 - (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]^2*((-11*S[-1, Infinity]^6)/360 + 
     (79*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (163*S[2, Infinity]^3)/
      1120 + ((7*S[-1, Infinity]^3)/12 + (7*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (209*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*((7*S[-1, Infinity]^4)/48 + (3*S[-1, 1, 1, 1, Infinity])/
        4) + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-33*S[-5, -1, Infinity] + 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/280 - 
     (53*S[-1, Infinity]^5*S[2, Infinity])/240 - 
     (2493*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-93*S[-1, Infinity]^2)/32 - (8923*S[2, Infinity])/896)*
      S[5, Infinity] + (150995*S[7, Infinity])/7168 + 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-27*S[-1, Infinity]^4)/64 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/16 - (4127*S[2, Infinity]^2)/
        1120 - 3*S[-1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(6*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (110400*S[-7, -1, Infinity] + 16637*S[5, 3, Infinity] + 
     19200*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 1, 2, -1, 1, 1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/2240 + (11*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (607289*S[2, Infinity]^4)/784000 + 
   ((-1021*S[-1, Infinity]^2)/256 - (1543*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/192 + 
     (533*S[-1, Infinity]*S[2, Infinity])/128 - (45781*S[3, Infinity])/10752)*
    S[5, Infinity] + (232767*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (11*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-15*S[-1, Infinity]^4)/112 - 
     (25*S[-1, 1, 1, 1, Infinity])/14) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/126 - 
     (1009*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2621*S[-1, Infinity]*S[2, Infinity]^2)/960 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/720 - (17*S[-1, Infinity]*S[2, Infinity]^2)/48 - 
     (7*S[-1, Infinity]^2*S[3, Infinity])/32 - (61*S[5, Infinity])/48 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     S[-1, 1, 1, 1, 1, Infinity]) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/480 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(9*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   S[1, Infinity]^2*((-13*S[-1, Infinity]^6)/480 + 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (173*S[2, Infinity]^3)/
      1120 + ((7*S[-1, Infinity]^3)/12 - (35*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] - (89*S[3, Infinity]^2)/128 + 
     (403*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((5*S[-1, Infinity]^4)/24 - (3*S[-1, 1, 1, 1, Infinity])/
        4) + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(3*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((227*S[-1, Infinity]^7)/5040 + 
     (43*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (411*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (2869*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-217*S[-1, Infinity]^2)/64 - (1059*S[2, Infinity])/896)*
      S[5, Infinity] - (20443*S[7, Infinity])/1792 - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-43*S[-1, Infinity]^4)/64 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/8 + (611*S[2, Infinity]^2)/560 + 
       3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-13*S[-1, Infinity]^5)/40 + (7*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 5*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(95*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-2*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (31160*S[-7, -1, Infinity] + 8979*S[5, 3, Infinity] + 
     9120*S[-5, -1, -1, -1, Infinity] - 3520*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2 - 2240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, 1, 1, 2, 1, -1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/2880 - (697*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (42477*S[2, Infinity]^4)/22400 + 
   ((23*S[-1, Infinity]^2)/768 + (55*S[2, Infinity])/384)*S[3, Infinity]^2 + 
   ((-15*S[-1, Infinity]*S[2, Infinity])/4 - (23933*S[3, Infinity])/3072)*
    S[5, Infinity] + S[2, Infinity]^2*(S[-1, Infinity]^4/96 + 
     S[-1, 1, 1, 1, Infinity]/2) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/1440 - 
     (91*S[-1, Infinity]^3*S[2, Infinity])/288 - 
     (3019*S[-1, Infinity]*S[2, Infinity]^2)/1920 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/12) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/360 - (11*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((-7*S[-1, Infinity]^2)/96 - (7*S[2, Infinity])/96)*S[3, Infinity] - 
     (23*S[5, Infinity])/384 - S[-1, 1, 1, 1, 1, Infinity]/3) - 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 - (5*S[-5, -1, Infinity])/8 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/288 - 
     (119*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (24*S[2, Infinity]^3)/35 + ((7*S[-1, Infinity]^3)/48 + 
       (7*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (131*S[3, Infinity]^2)/256 + S[2, Infinity]*((5*S[-1, Infinity]^4)/96 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (5*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/560 - 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (267*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((155*S[-1, Infinity]^2)/64 + (1037*S[2, Infinity])/896)*
      S[5, Infinity] - (6441*S[7, Infinity])/896 + 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-35*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (1577*S[2, Infinity]^2)/1120 - (21*S[-1, 1, 1, 1, Infinity])/8) - 
     S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/60 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + (29*S[-5, 1, 1, Infinity] - 
       6*S[5, -1, -1, Infinity] - 210*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (8000*S[-7, -1, Infinity] - 1207*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2 - 21504*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[1, 1, 1, 2, 1, -1, 1, Infinity] -> 
  (-373*S[-1, Infinity]^8)/40320 - (447*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (357447*S[2, Infinity]^4)/196000 + 
   ((-1033*S[-1, Infinity]^2)/768 - (2215*S[2, Infinity])/2688)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (73*S[-1, Infinity]*S[2, Infinity])/32 - (33533*S[3, Infinity])/5376)*
    S[5, Infinity] + (47051*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/1680 - 
     (261*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^3*((11*S[-1, Infinity]^5)/720 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (2*S[-1, Infinity]*S[2, Infinity]^2)/15 + 
     ((-7*S[-1, Infinity]^2)/96 + (5*S[2, Infinity])/48)*S[3, Infinity] + 
     (35*S[5, Infinity])/192 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 3*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((1871*S[-1, Infinity]^5)/10080 - (1999*S[-1, Infinity]^3*S[2, Infinity])/
      2016 - (71*S[-1, Infinity]*S[2, Infinity]^2)/60 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (103*S[-1, 1, 1, 1, 1, Infinity])/84) + S[1, Infinity]^2*
    ((-3*S[-1, Infinity]^6)/80 - (177*S[-1, Infinity]^2*S[2, Infinity]^2)/
      160 + (2*S[2, Infinity]^3)/5 + ((7*S[-1, Infinity]^3)/48 - 
       (7*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (97*S[3, Infinity]^2)/128 - (93*S[-1, Infinity]*S[5, Infinity])/128 + 
     (15*S[-5, -1, Infinity])/8 + S[2, Infinity]*((5*S[-1, Infinity]^4)/32 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 + 
     (153*S[-5, -1, Infinity] - 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      20*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/420 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
     (1327*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1079*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((217*S[-1, Infinity]^2)/64 + (4233*S[2, Infinity])/896)*
      S[5, Infinity] - (98579*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/8 + 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 + (13*S[2, Infinity]^2)/14 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/240 - S[-1, 1, 1, 1, 1, 
        Infinity]) + 6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-19*S[-5, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (38*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (75840*S[-7, -1, Infinity] + 5797*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, 2, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/40320 + (61*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (208*S[2, Infinity]^4)/35 + (4*S[3, Infinity]*S[5, Infinity])/3 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/720 + 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + (2*S[5, Infinity])/3 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(S[-1, Infinity]^5/360 + (S[-1, Infinity]^3*S[2, Infinity])/
      9 + (4*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + 5*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    (-S[-1, Infinity]^6/1440 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      4 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/1440 + (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
     (8*S[2, Infinity]^3)/7 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      4 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 20*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, 1, 1, Infinity] + S[1, Infinity]*
    (S[-1, Infinity]^7/5040 + (3*S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
     (202*S[-1, Infinity]*S[2, Infinity]^3)/35 + 2*S[2, Infinity]*
      S[5, Infinity] + 20*S[7, Infinity] - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, 1, Infinity] + 20*S[-1, 1, 1, 1, 1, 1, 1, 
       Infinity]) + 35*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 2, 1, 1, 1, Infinity] -> 
  (-8*S[1, Infinity]^2*S[2, Infinity]^3)/7 - (208*S[2, Infinity]^4)/35 + 
   (2*S[1, Infinity]^3*S[5, Infinity])/3 + (4*S[3, Infinity]*S[5, Infinity])/
    3 + S[1, Infinity]*(2*S[2, Infinity]*S[5, Infinity] + 20*S[7, Infinity]), 
 S[1, -1, -1, -1, -2, -1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/8064 + 
   (619*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1467533*S[2, Infinity]^4)/56000 + 
   ((1337*S[-1, Infinity]^2)/256 + (18441*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((1655*S[-1, Infinity]^3)/192 - 
     (21481*S[-1, Infinity]*S[2, Infinity])/128 - (88877*S[3, Infinity])/
      1024)*S[5, Infinity] - S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((1091*S[-1, Infinity]^4)/960 + 
     (91*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((619*S[-1, Infinity]^5)/960 - (153*S[-1, Infinity]^3*S[2, Infinity])/
      32 - (46229*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (939*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (19*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(84*S[-5, -1, Infinity] - 
      41*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[2, Infinity]*((-181*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (393*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/1680 - 
     (111*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (1961*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (1459*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((6529*S[-1, Infinity]^2)/128 + (88587*S[2, Infinity])/896)*
      S[5, Infinity] - (1078757*S[7, Infinity])/3584 + 
     S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (11497*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (19*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (19*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-37*S[-5, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (401*S[-5, 1, 1, Infinity] - 523*S[5, -1, -1, Infinity] - 
       1876*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-3288000*S[-7, -1, Infinity] - 505539*S[5, 3, Infinity] - 
     308480*S[-5, -1, -1, -1, Infinity] - 343040*S[-5, -1, 1, 1, Infinity] + 
     30720*S[-1, 1, 1, 1, Infinity]^2 + 1561600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, -1, -1, -2, -1, 1, Infinity] -> 
  (3*S[-1, Infinity]^8)/1120 - (1963*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1287481*S[2, Infinity]^4)/49000 + 
   ((-107*S[-1, Infinity]^2)/32 + (32541*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((7495*S[-1, Infinity]^3)/384 - 
     (2603*S[-1, Infinity]*S[2, Infinity])/16 - (391581*S[3, Infinity])/3584)*
    S[5, Infinity] - (106413*S[-1, Infinity]*S[7, Infinity])/3584 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/1680 + 
     (1291*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((5393*S[-1, Infinity]^5)/6720 - 
     (1063*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (24663*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (7045*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (19*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/160 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (11329*S[-5, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(377*S[-5, -1, Infinity] - 
      164*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(S[-1, Infinity]^7/120 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (593*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (4399*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((2567*S[-1, Infinity]^2)/64 + (20301*S[2, Infinity])/224)*
      S[5, Infinity] - (121543*S[7, Infinity])/448 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/192 - 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 + (22013*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/20 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (19*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(55*S[-5, -1, Infinity] - 
        1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (673*S[-5, 1, 1, Infinity] - 860*S[5, -1, -1, Infinity] - 
       3332*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 62*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2893600*S[-7, -1, Infinity] - 451603*S[5, 3, Infinity] - 
     274560*S[-5, -1, -1, -1, Infinity] - 305600*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 1308160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, -1, -1, -2, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/8064 - (1319*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (839499*S[2, Infinity]^4)/156800 + 
   ((-3713*S[-1, Infinity]^2)/896 - (9159*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((63*S[-1, Infinity]^3)/16 + 
     (12457*S[-1, Infinity]*S[2, Infinity])/448 - (137031*S[3, Infinity])/
      7168)*S[5, Infinity] - (1647*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-159*S[-1, Infinity]^4)/280 + 
     (33*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((367*S[-1, Infinity]^5)/2240 - (45*S[-1, Infinity]^3*S[2, Infinity])/
      28 + (24639*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (513*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((5*S[-1, Infinity]^6)/96 + 
     (309*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/5040 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (51*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     ((-7*S[-1, Infinity]^4)/64 - (15*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (69*S[2, Infinity]^2)/112)*S[3, Infinity] - 
     (517*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-291*S[-1, Infinity]^2)/128 - (9021*S[2, Infinity])/896)*
      S[5, Infinity] + (97641*S[7, Infinity])/7168 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^5)/48 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-23*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      126*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(46912*S[-7, -1, Infinity] + 11311*S[5, 3, Infinity] + 
      17664*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] - 
      7168*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/7168, 
 S[1, -1, -1, -1, -2, 1, 1, Infinity] -> (-79*S[-1, Infinity]^8)/20160 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (1252247*S[2, Infinity]^4)/
    784000 + ((-1613*S[-1, Infinity]^2)/1792 - (2955*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((33*S[-1, Infinity]^3)/32 + 
     (8661*S[-1, Infinity]*S[2, Infinity])/448 + (19683*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/420 + 
     (73*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((181*S[-1, Infinity]^5)/6720 + (281*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (10989*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (349*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/96 + 
     (227*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-103*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/2520 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (139*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (2553*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((81*S[-1, Infinity]^2)/128 - (5365*S[2, Infinity])/896)*
      S[5, Infinity] + (84465*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 - (1903*S[2, Infinity]^2)/
        448 - 2*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-43*S[-5, -1, Infinity] - 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (106*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5440*S[-7, -1, Infinity] + 4253*S[5, 3, Infinity] + 
     3320*S[-5, -1, -1, -1, Infinity] - 2480*S[-5, -1, 1, 1, Infinity] + 
     10080*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/560, 
 S[1, -1, -1, -1, 2, -1, -1, Infinity] -> (-23*S[-1, Infinity]^8)/10080 - 
   (899*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (8954179*S[2, Infinity]^4)/392000 + 
   ((-5549*S[-1, Infinity]^2)/896 - (7061*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-25*S[-1, Infinity]^3)/96 + 
     (8983*S[-1, Infinity]*S[2, Infinity])/56 + (67551*S[3, Infinity])/896)*
    S[5, Infinity] - (77881*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-134*S[-1, Infinity]^4)/105 - 
     (608*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] - 
   (35*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-2029*S[-1, Infinity]^5)/3360 + 
     (1469*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (76033*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (3149*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/360 - (1286*S[-5, -1, Infinity])/
      7 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-965*S[-5, -1, Infinity] + 
      588*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/168 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/20 + 
     (11213*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1615*S[-1, Infinity]^2)/32 - (20889*S[2, Infinity])/224)*
      S[5, Infinity] + (31861*S[7, Infinity])/112 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/24 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 - (1301*S[2, Infinity]^2)/140 + 
       S[-1, 1, 1, 1, Infinity]) + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/40 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + 8*S[-1, 1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]*(-22*S[-5, -1, Infinity] - 
        147*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (4*(46*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-59*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (5320640*S[-7, -1, Infinity] + 787463*S[5, 3, Infinity] + 
     476160*S[-5, -1, -1, -1, Infinity] + 563200*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 2508800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, -1, 2, -1, 1, Infinity] -> 
  (-71*S[-1, Infinity]^8)/13440 + (787*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (91729*S[2, Infinity]^4)/3920 + 
   ((-11805*S[-1, Infinity]^2)/1792 - (117287*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1867*S[-1, Infinity]^3)/384 + 
     (138079*S[-1, Infinity]*S[2, Infinity])/896 + (608485*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-3041*S[-1, Infinity]^4)/6720 - (1177*S[-1, 1, 1, 1, Infinity])/70) + 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] - 
   (35*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1411*S[-1, Infinity]^5)/3360 + 
     (3739*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (275313*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (2825*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/120 - (9913*S[-5, -1, Infinity])/
      56 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-2063*S[-5, -1, Infinity] + 
      1176*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/5040 + 
     (229*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (3027*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (10327*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-5871*S[-1, Infinity]^2)/128 - (76467*S[2, Infinity])/896)*
      S[5, Infinity] + (941671*S[7, Infinity])/3584 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-29*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (20409*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]) + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/240 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(-39*S[-5, -1, Infinity] - 
        392*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-677*S[-5, 1, 1, Infinity] + 870*S[5, -1, -1, Infinity] + 
       3220*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (4095808*S[-7, -1, Infinity] + 624993*S[5, 3, Infinity] + 
     384768*S[-5, -1, -1, -1, Infinity] + 430592*S[-5, -1, 1, 1, Infinity] - 
     43008*S[-1, 1, 1, 1, Infinity]^2 - 1885184*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, -1, -1, 2, 1, -1, Infinity] -> 
  (-101*S[-1, Infinity]^8)/8064 + (141*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 + (296227*S[2, Infinity]^4)/392000 + 
   ((-669*S[-1, Infinity]^2)/448 + (2503*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((225*S[-1, Infinity]^3)/128 - 
     (3627*S[-1, Infinity]*S[2, Infinity])/448 + (1817*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((8293*S[-1, Infinity]^4)/6720 - 
     (349*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((2993*S[-1, Infinity]^5)/6720 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (9551*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (725*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 - 
   (3*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/288 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (823*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/168 - 
     (101*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (1457*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1707*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((825*S[-1, Infinity]^2)/128 + (12597*S[2, Infinity])/896)*
      S[5, Infinity] - (207939*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/32 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (3099*S[2, Infinity]^2)/
        2240 + (9*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/20 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(13*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (9*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-209920*S[-7, -1, Infinity] - 22507*S[5, 3, Infinity] - 
     14400*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity] - 
     20160*S[-1, 1, 1, 1, Infinity]^2 + 98560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, -1, -1, 2, 1, 1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/5040 - (123*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 + (322381*S[2, Infinity]^4)/392000 + 
   ((-8179*S[-1, Infinity]^2)/1792 + (14787*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1527*S[-1, Infinity]^3)/128 - 
     (1385*S[-1, Infinity]*S[2, Infinity])/224 - (149689*S[3, Infinity])/
      7168)*S[5, Infinity] - (37635*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((593*S[-1, Infinity]^4)/2240 - 
     (191*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((571*S[-1, Infinity]^5)/2240 - 
     (691*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (35291*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (481*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (859*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(289*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 95*S[5, -1, -1, Infinity] + 
      266*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/5040 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (673*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (275*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-477*S[-1, Infinity]^2)/128 - (349*S[2, Infinity])/896)*
      S[5, Infinity] + (93141*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/192 - 
       (29*S[-1, Infinity]^2*S[2, Infinity])/32 - (53*S[2, Infinity]^2)/280 - 
       (15*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((17*S[-1, Infinity]^5)/240 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] + 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-5*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity] + 
       280*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1760960*S[-7, -1, Infinity] - 392153*S[5, 3, Infinity] - 
     264960*S[-5, -1, -1, -1, Infinity] - 129280*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 465920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 1, -2, -1, -1, Infinity] -> 
  (769*S[-1, Infinity]^8)/20160 + (83*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 - (12848397*S[2, Infinity]^4)/784000 + 
   ((-6499*S[-1, Infinity]^2)/896 - (26301*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((157*S[-1, Infinity]^3)/32 + 
     (73973*S[-1, Infinity]*S[2, Infinity])/448 + (246651*S[3, Infinity])/
      3584)*S[5, Infinity] - (54421*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-647*S[-1, Infinity]^4)/1680 - 
     (1401*S[-1, 1, 1, 1, Infinity])/140) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/16 - (8061*S[-5, -1, Infinity])/
      56 + (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/28 + 
     (1567*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (138659*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5457*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-1613*S[-5, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/504 + 
     (25*S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (7561*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (11037*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-2889*S[-1, Infinity]^2)/64 - (3567*S[2, Infinity])/56)*
      S[5, Infinity] + (1300629*S[7, Infinity])/7168 + 
     (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-29*S[-1, Infinity]^4)/192 + 
       (113*S[-1, Infinity]^2*S[2, Infinity])/32 - (1039*S[2, Infinity]^2)/
        280 + (25*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/120 + 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(211*S[-5, -1, Infinity] + 
        210*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (3*(227*S[-5, 1, 1, Infinity] - 193*S[5, -1, -1, Infinity] - 
        868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] + 30*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(3031360*S[-7, -1, Infinity] + 473793*S[5, 3, Infinity] + 
      314880*S[-5, -1, -1, -1, Infinity] + 280960*S[-5, -1, 1, 1, Infinity] + 
      26880*S[-1, 1, 1, 1, Infinity]^2 - 1415680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[1, -1, -1, 1, -2, -1, 1, Infinity] -> 
  (761*S[-1, Infinity]^8)/20160 + (2187*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (10640261*S[2, Infinity]^4)/784000 + 
   ((-1335*S[-1, Infinity]^2)/224 - (26623*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((225*S[-1, Infinity]^3)/128 + 
     (150411*S[-1, Infinity]*S[2, Infinity])/896 + (191855*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/1120 - 
     (643*S[-1, 1, 1, 1, Infinity])/56) - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/72 - (3761*S[-5, -1, Infinity])/
      28 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-929*S[-1, Infinity]^5)/1344 + 
     (4645*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (26695*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (4645*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(597*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-157*S[-1, Infinity]^7)/5040 + 
     (123*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (6511*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (5423*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-5375*S[-1, Infinity]^2)/128 - (54161*S[2, Infinity])/896)*
      S[5, Infinity] + (1191787*S[7, Infinity])/7168 + 
     (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-49*S[-1, Infinity]^4)/96 + 
       (119*S[-1, Infinity]^2*S[2, Infinity])/32 - (2043*S[2, Infinity]^2)/
        2240 + (49*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/240 + 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(361*S[-5, -1, Infinity] + 
        420*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-620*S[-5, 1, 1, Infinity] + 549*S[5, -1, -1, Infinity] + 
       2240*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (8870080*S[-7, -1, Infinity] + 1355887*S[5, 3, Infinity] + 
     980480*S[-5, -1, -1, -1, Infinity] + 766720*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 3942400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, -1, 1, -2, 1, -1, Infinity] -> 
  (37*S[-1, Infinity]^8)/8064 + (407*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (1442991*S[2, Infinity]^4)/784000 + 
   ((1935*S[-1, Infinity]^2)/1792 + (9067*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((287*S[-1, Infinity]^3)/128 - 
     (2451*S[-1, Infinity]*S[2, Infinity])/224 + (1159*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((81*S[-1, Infinity]^4)/140 + 
     (137*S[-1, 1, 1, 1, Infinity])/280) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/3360 - 
     (179*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (18427*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (179*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(-67*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(19*S[-5, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/168 - 
     (81*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (415*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (807*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((639*S[-1, Infinity]^2)/128 + (9735*S[2, Infinity])/896)*
      S[5, Infinity] - (221583*S[7, Infinity])/7168 + 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/64 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (2997*S[2, Infinity]^2)/
        2240 + (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/20 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(29*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-1654080*S[-7, -1, Infinity] - 239789*S[5, 3, Infinity] - 
     131840*S[-5, -1, -1, -1, Infinity] - 154880*S[-5, -1, 1, 1, Infinity] + 
     896000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, 1, -2, 1, 1, Infinity] -> (241*S[-1, Infinity]^8)/40320 - 
   (2073*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (106097*S[2, Infinity]^4)/156800 + 
   ((-6953*S[-1, Infinity]^2)/1792 + (10253*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1403*S[-1, Infinity]^3)/128 - 
     (4887*S[-1, Infinity]*S[2, Infinity])/448 - (21795*S[3, Infinity])/7168)*
    S[5, Infinity] - (7429*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/140 - 
     (221*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((109*S[-1, Infinity]^5)/1344 - 
     (353*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (25121*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (143*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (727*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(349*S[-5, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-32*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] + 
      133*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((-7*S[-1, Infinity]^7)/720 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (185*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (603*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-477*S[-1, Infinity]^2)/128 + (2601*S[2, Infinity])/896)*
      S[5, Infinity] + (16145*S[7, Infinity])/7168 - 
     (31*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/16 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 - (41*S[2, Infinity]^2)/448 - 
       (5*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((17*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-41*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-337600*S[-7, -1, Infinity] - 48547*S[5, 3, Infinity] - 
     45312*S[-5, -1, -1, -1, Infinity] - 22784*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 114688*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, -1, 1, 2, -1, -1, Infinity] -> 
  (-59*S[-1, Infinity]^8)/4032 - (275*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (907143*S[2, Infinity]^4)/56000 + 
   ((1951*S[-1, Infinity]^2)/256 + (16793*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-27*S[-1, Infinity]^3)/64 - 
     (23025*S[-1, Infinity]*S[2, Infinity])/128 - (54829*S[3, Infinity])/
      1024)*S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/48 + 
     (359*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((299*S[-1, Infinity]^5)/480 - (745*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (41407*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (341*S[-1, 1, 1, 1, 1, Infinity])/4) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/8 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (7*(-163*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(279*S[-5, -1, Infinity] - 
      80*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/720 - 
     (353*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (7103*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (9921*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((5847*S[-1, Infinity]^2)/128 + (69831*S[2, Infinity])/896)*
      S[5, Infinity] - (1649241*S[7, Infinity])/7168 + 
     S[3, Infinity]*((35*S[-1, Infinity]^4)/192 - 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 + (7849*S[2, Infinity]^2)/
        1120 - (7*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((31*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-139*S[-5, -1, Infinity] - 
        378*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (3*(193*S[-5, 1, 1, Infinity] - 241*S[5, -1, -1, Infinity] - 
        980*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-2774720*S[-7, -1, Infinity] - 435539*S[5, 3, Infinity] - 
     305920*S[-5, -1, -1, -1, Infinity] - 231680*S[-5, -1, 1, 1, Infinity] + 
     1372160*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, -1, -1, 1, 2, -1, 1, Infinity] -> (-71*S[-1, Infinity]^8)/20160 - 
   (1241*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (198257*S[2, Infinity]^4)/11200 + ((12673*S[-1, Infinity]^2)/1792 + 
     (16307*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((1155*S[-1, Infinity]^3)/128 - (33447*S[-1, Infinity]*S[2, Infinity])/
      224 - (63099*S[3, Infinity])/1024)*S[5, Infinity] - 
   (69303*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/96 + 
     (96*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((73*S[-1, Infinity]^5)/320 - (147*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (252087*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (111*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (387*S[-1, 1, 1, 1, 1, Infinity])/4) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((7*S[-1, Infinity]^6)/360 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (300*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(1909*S[-5, -1, Infinity] - 
      560*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/2520 - 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (157*S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (1149*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((2319*S[-1, Infinity]^2)/64 + (10947*S[2, Infinity])/224)*
      S[5, Infinity] - (1094817*S[7, Infinity])/7168 + 
     S[3, Infinity]*((31*S[-1, Infinity]^4)/96 - 
       (83*S[-1, Infinity]^2*S[2, Infinity])/32 + (2123*S[2, Infinity]^2)/
        2240 - (31*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-293*S[-5, -1, Infinity] - 
        756*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(198*S[-5, 1, 1, Infinity] - 145*S[5, -1, -1, Infinity] - 
        840*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 96*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-185792*S[-7, -1, Infinity] - 28903*S[5, 3, Infinity] - 
      20224*S[-5, -1, -1, -1, Infinity] - 16384*S[-5, -1, 1, 1, Infinity] + 
      1536*S[-1, 1, 1, 1, Infinity]^2 + 87040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1024, S[1, -1, -1, 1, 2, 1, -1, Infinity] -> 
  (47*S[-1, Infinity]^8)/2016 + (1503*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (72*S[2, Infinity]^4)/25 + 
   (7997*S[-1, Infinity]^2*S[3, Infinity]^2)/1792 + 
   ((221*S[-1, Infinity]^3)/64 + (8979*S[-1, Infinity]*S[2, Infinity])/448 + 
     (21*S[3, Infinity])/4)*S[5, Infinity] - 
   (141153*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (9*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   9*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]^2*
    ((-3*S[-1, Infinity]^4)/32 + (54*S[-1, 1, 1, 1, Infinity])/5) + 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-209*S[-1, Infinity]^5)/320 + 
     (131*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (573*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (117*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/32 + 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (5*S[-1, Infinity]^2*(-27*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-43*S[-1, Infinity]^7)/5040 + 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/5 - 
     (561*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (2477*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-105*S[-1, Infinity]^2)/128 - (6291*S[2, Infinity])/896)*
      S[5, Infinity] + (28299*S[7, Infinity])/7168 + 
     S[3, Infinity]*((9*S[-1, Infinity]^4)/32 - 
       (33*S[-1, Infinity]^2*S[2, Infinity])/32 - (321*S[2, Infinity]^2)/
        112 - (27*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^5)/48 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        280*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[1, -1, -1, 1, 2, 1, 1, Infinity] -> (19*S[-1, Infinity]^8)/1440 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (131*S[-1, Infinity]^2*S[3, Infinity]^2)/256 + 
   (2*S[-1, Infinity]^3 + 3*S[-1, Infinity]*S[2, Infinity] + 
     (21*S[3, Infinity])/4)*S[5, Infinity] + S[2, Infinity]^2*
    ((5*S[-1, Infinity]^4)/32 - (18*S[-1, 1, 1, 1, Infinity])/5) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/96 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/96 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (5*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/2520 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (1637*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((81*S[-1, Infinity]^2)/128 + (8979*S[2, Infinity])/896)*
      S[5, Infinity] - (254007*S[7, Infinity])/7168 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-35*S[-1, Infinity]^4)/192 + 
       (49*S[-1, Infinity]^2*S[2, Infinity])/32 + (1773*S[2, Infinity]^2)/
        560 + (21*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(123*S[-5, -1, Infinity] - 
        280*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (3*(3*S[-1, 1, 1, 1, Infinity]^2 + 14*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/2, S[1, -1, 1, -1, -2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/96 - (817*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (18539*S[2, Infinity]^4)/3136 + ((-8885*S[-1, Infinity]^2)/896 - 
     (10585*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((2213*S[-1, Infinity]^3)/192 + (62121*S[-1, Infinity]*S[2, Infinity])/
      896 + (84479*S[3, Infinity])/3584)*S[5, Infinity] - 
   (247151*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2903*S[-1, Infinity]^4)/1680 - 
     (247*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (23*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-801*S[-1, Infinity]^5)/2240 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (7163*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (1815*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 - (1471*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/1260 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/4 + 
     (2809*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (3231*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-43*S[-1, Infinity]^2)/4 + (79*S[2, Infinity])/112)*S[5, Infinity] + 
     (4119*S[7, Infinity])/224 + S[3, Infinity]*((17*S[-1, Infinity]^4)/192 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 - (1723*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/120 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (13*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(409*S[-5, -1, Infinity] - 
        672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (3*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-95*S[-5, 1, 1, Infinity] + 129*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (43216*S[-7, -1, Infinity] + 6943*S[5, 3, Infinity] + 
     4896*S[-5, -1, -1, -1, Infinity] + 3728*S[-5, -1, 1, 1, Infinity] - 
     20608*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/224, 
 S[1, -1, 1, -1, -2, -1, 1, Infinity] -> (299*S[-1, Infinity]^8)/40320 - 
   (751*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (11247*S[2, Infinity]^4)/1960 + ((-3795*S[-1, Infinity]^2)/896 - 
     (13107*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((725*S[-1, Infinity]^3)/192 + (25387*S[-1, Infinity]*S[2, Infinity])/
      896 + (29751*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-4867*S[-1, Infinity]^4)/6720 - 
     (391*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (23*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1067*S[-1, Infinity]^5)/6720 + 
     (1067*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1999*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (1067*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 - (2173*S[-5, -1, Infinity])/
      56 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/5040 + 
     (61*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (739*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (37*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     (-3*S[-1, Infinity]^2 + (6491*S[2, Infinity])/448)*S[5, Infinity] - 
     (115343*S[7, Infinity])/7168 + S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 + (393*S[2, Infinity]^2)/448 + 
       S[-1, 1, 1, 1, Infinity]/2) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/80 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (13*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(157*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (50*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (60880*S[-7, -1, Infinity] + 9517*S[5, 3, Infinity] + 
     5728*S[-5, -1, -1, -1, Infinity] + 5808*S[-5, -1, 1, 1, Infinity] - 
     33600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[1, -1, 1, -1, -2, 1, -1, Infinity] -> -S[-1, Infinity]^8/4032 + 
   (2283*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (159727*S[2, Infinity]^4)/784000 + 
   ((3753*S[-1, Infinity]^2)/1792 - (319*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-61*S[-1, Infinity]^3)/16 - 
     (1851*S[-1, Infinity]*S[2, Infinity])/448 + (50399*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((3361*S[-1, Infinity]^4)/6720 - 
     (22*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/420 + (S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (559*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (323*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((3*S[-1, Infinity]^2*S[2, Infinity])/32 - (2739*S[2, Infinity]^2)/2240)*
      S[3, Infinity] + (135*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     (-3*S[-1, Infinity]^2 - (153*S[2, Infinity])/28)*S[5, Infinity] + 
     (54885*S[7, Infinity])/3584 - 
     (15*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 + (9*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (3*S[-1, Infinity]*(10*S[-5, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(53*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-137*S[-5, -1, Infinity] + 
       63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (228160*S[-7, -1, Infinity] + 88663*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 112640*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, -2, 1, 1, Infinity] -> (151*S[-1, Infinity]^8)/40320 + 
   (1919*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (111831*S[2, Infinity]^4)/196000 + 
   ((-2449*S[-1, Infinity]^2)/1792 - (15727*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-23*S[-1, Infinity]^3)/128 + 
     (32537*S[-1, Infinity]*S[2, Infinity])/896 + (148565*S[3, Infinity])/
      7168)*S[5, Infinity] - (259719*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((407*S[-1, Infinity]^4)/2240 - 
     (69*S[-1, 1, 1, 1, Infinity])/70) - 
   (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/336 + 
     (643*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (8005*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (83*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/144 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-367*S[-5, -1, Infinity] - 
       126*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-215*S[-5, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/5040 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (347*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1629*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-849*S[-1, Infinity]^2)/128 - (20399*S[2, Infinity])/896)*
      S[5, Infinity] + (369489*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 - (1727*S[2, Infinity]^2)/1120 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/240 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-17*S[-5, -1, Infinity] + 
        63*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-142*S[-5, 1, 1, Infinity] + 173*S[5, -1, -1, Infinity] + 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1638720*S[-7, -1, Infinity] + 325741*S[5, 3, Infinity] + 
     280320*S[-5, -1, -1, -1, Infinity] + 158720*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, 2, -1, -1, Infinity] -> (-59*S[-1, Infinity]^8)/13440 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (67943*S[2, Infinity]^4)/
    12250 + ((16883*S[-1, Infinity]^2)/1792 + (51461*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1445*S[-1, Infinity]^3)/192 - 
     (63883*S[-1, Infinity]*S[2, Infinity])/896 - (191211*S[3, Infinity])/
      7168)*S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((10961*S[-1, Infinity]^4)/6720 + 
     (233*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((263*S[-1, Infinity]^5)/1680 - (2081*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (112223*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (205*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] + 
      259*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/288 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (683*S[-5, -1, Infinity] + 
       49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/5040 - 
     (131*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (5391*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (2787*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1259*S[-1, Infinity]^2)/128 - (6185*S[2, Infinity])/896)*
      S[5, Infinity] - (1935*S[7, Infinity])/7168 + 
     S[3, Infinity]*((25*S[-1, Infinity]^4)/192 + 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 + (197*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/2) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((29*S[-1, Infinity]^5)/240 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-1, Infinity]*(95*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (3*(5*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-7333440*S[-7, -1, Infinity] - 1219373*S[5, 3, Infinity] - 
     899840*S[-5, -1, -1, -1, Infinity] - 560640*S[-5, -1, 1, 1, Infinity] + 
     3333120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, 2, -1, 1, Infinity] -> (-11*S[-1, Infinity]^8)/10080 + 
   (249*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (104991*S[2, Infinity]^4)/56000 + ((11393*S[-1, Infinity]^2)/1792 + 
     (4775*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-19*S[-1, Infinity]^3)/6 - (37705*S[-1, Infinity]*S[2, Infinity])/896 - 
     (1387*S[3, Infinity])/1024)*S[5, Infinity] - 
   (302943*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((541*S[-1, Infinity]^4)/480 + 
     (53*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/16 - (51*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (15657*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (349*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(15*S[-5, -1, Infinity] + 
      518*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1260 - 
     (101*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (1689*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (897*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((701*S[-1, Infinity]^2)/128 - (19307*S[2, Infinity])/896)*
      S[5, Infinity] + (18813*S[7, Infinity])/448 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 + 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 - (2413*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/2) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/120 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-209*S[-5, -1, Infinity] + 
        420*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (6*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
        21*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (3*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-873280*S[-7, -1, Infinity] - 133153*S[5, 3, Infinity] - 
     103680*S[-5, -1, -1, -1, Infinity] - 62720*S[-5, -1, 1, 1, Infinity] + 
     409600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, -1, 1, -1, 2, 1, -1, Infinity] -> (43*S[-1, Infinity]^8)/4032 + 
   (653*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (833319*S[2, Infinity]^4)/196000 + 
   ((-2027*S[-1, Infinity]^2)/1792 - (3117*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((659*S[-1, Infinity]^3)/128 + 
     (27695*S[-1, Infinity]*S[2, Infinity])/896 + (30483*S[3, Infinity])/896)*
    S[5, Infinity] - (361775*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-191*S[-1, Infinity]^4)/140 + 
     (54*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (S[-1, Infinity]^6/15 - (1677*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-243*S[-1, Infinity]^5)/560 + 
     (227*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (5137*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (309*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-25*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/5040 + 
     (97*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (353*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (617*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-189*S[-1, Infinity]^2)/32 - (525*S[2, Infinity])/64)*S[5, Infinity] + 
     (15453*S[7, Infinity])/1024 + S[3, Infinity]*((3*S[-1, Infinity]^4)/64 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 - (303*S[2, Infinity]^2)/
        320 - (9*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-49*S[-1, Infinity]^5)/240 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(17*S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
     (3*(7*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (S[-1, Infinity]*(-30*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(173920*S[-7, -1, Infinity] + 29357*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 32960*S[-5, -1, 1, 1, Infinity] + 
      13440*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[1, -1, 1, -1, 2, 1, 1, Infinity] -> 
  (337*S[-1, Infinity]^8)/40320 + (33*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 - (211*S[2, Infinity]^4)/6272 + 
   ((1553*S[-1, Infinity]^2)/1792 - (971*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-29*S[-1, Infinity]^3)/32 - 
     (261*S[-1, Infinity]*S[2, Infinity])/224 + (459*S[3, Infinity])/56)*
    S[5, Infinity] + S[2, Infinity]^2*((-823*S[-1, Infinity]^4)/3360 - 
     (34*S[-1, 1, 1, 1, Infinity])/35) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-131*S[-1, Infinity]^5)/840 + 
     (39*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (781*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (213*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 - (775*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1260 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (3217*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((19*S[-1, Infinity]^2)/128 + (7757*S[2, Infinity])/896)*
      S[5, Infinity] - (63401*S[7, Infinity])/1792 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/6 + 
       (37*S[-1, Infinity]^2*S[2, Infinity])/16 + (5731*S[2, Infinity]^2)/
        1120 + (39*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/12 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(89*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-117*S[-5, 1, 1, Infinity] - 82*S[5, -1, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (23872*S[-7, -1, Infinity] + 71*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 10048*S[-5, -1, 1, 1, Infinity] + 
     8064*S[-1, 1, 1, 1, Infinity]^2 + 10752*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, -1, 1, 1, -2, -1, -1, Infinity] -> 
  (61*S[-1, Infinity]^8)/13440 + (2629*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (7946993*S[2, Infinity]^4)/784000 + 
   ((9627*S[-1, Infinity]^2)/1792 + (50049*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-143*S[-1, Infinity]^3)/192 - 
     (65693*S[-1, Infinity]*S[2, Infinity])/896 - (241117*S[3, Infinity])/
      7168)*S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((3049*S[-1, Infinity]^4)/1680 + 
     (1447*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((289*S[-1, Infinity]^5)/1344 - 
     (689*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (133863*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (2957*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(449*S[-5, -1, Infinity] + 
      392*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-233*S[-1, Infinity]^6)/1440 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (4007*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-7*S[-1, Infinity]^7)/720 - 
     (373*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (2371*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (3309*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((949*S[-1, Infinity]^2)/128 + (9031*S[2, Infinity])/896)*
      S[5, Infinity] - (123589*S[7, Infinity])/3584 + 
     S[3, Infinity]*((43*S[-1, Infinity]^4)/192 - 
       (57*S[-1, Infinity]^2*S[2, Infinity])/32 - (2097*S[2, Infinity]^2)/
        2240 - (29*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/16 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-261*S[-5, -1, Infinity] + 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (64*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-8998720*S[-7, -1, Infinity] - 1326827*S[5, 3, Infinity] - 
     825600*S[-5, -1, -1, -1, Infinity] - 876800*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 4730880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, -2, -1, 1, Infinity] -> 
  (211*S[-1, Infinity]^8)/40320 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/
    40 + (1360777*S[2, Infinity]^4)/156800 + 
   ((677*S[-1, Infinity]^2)/448 + (19097*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((43*S[-1, Infinity]^3)/192 - 
     (48385*S[-1, Infinity]*S[2, Infinity])/896 - (93805*S[3, Infinity])/
      3584)*S[5, Infinity] - (73825*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((487*S[-1, Infinity]^4)/336 + 
     (169*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((103*S[-1, Infinity]^5)/280 - (1667*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (29307*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (2381*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/288 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1775*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(97*S[-5, -1, Infinity] + 
      98*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-4*S[-1, Infinity]^7)/315 - 
     (121*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (3407*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (2489*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((825*S[-1, Infinity]^2)/128 + (5451*S[2, Infinity])/896)*
      S[5, Infinity] - (173353*S[7, Infinity])/7168 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (267*S[2, Infinity]^2)/2240 - 
       (21*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-55*S[-5, -1, Infinity] + 
        49*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (87*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity] - 
       364*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-41*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-379168*S[-7, -1, Infinity] - 55457*S[5, 3, Infinity] - 
     32128*S[-5, -1, -1, -1, Infinity] - 38208*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 + 213248*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, -1, 1, 1, -2, 1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/2016 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (34787*S[2, Infinity]^4)/98000 + ((-585*S[-1, Infinity]^2)/128 - 
     (19031*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((923*S[-1, Infinity]^3)/384 + (4391*S[-1, Infinity]*S[2, Infinity])/128 + 
     (56291*S[3, Infinity])/7168)*S[5, Infinity] - 
   (34213*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-3047*S[-1, Infinity]^4)/3360 - 
     (223*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((277*S[-1, Infinity]^5)/3360 - 
     (131*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (6129*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (447*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((169*S[-1, Infinity]^6)/1440 - (853*S[-5, -1, Infinity])/
      56 - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-64*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/720 + 
     (71*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (99*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (1023*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-161*S[-1, Infinity]^2)/64 - (1683*S[2, Infinity])/224)*
      S[5, Infinity] + (134615*S[7, Infinity])/7168 - 
     (17*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/64 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/32 - (37*S[2, Infinity]^2)/70 + 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-17*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-17*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity] + 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2480960*S[-7, -1, Infinity] + 461891*S[5, 3, Infinity] + 
     387840*S[-5, -1, -1, -1, Infinity] + 140800*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, -2, 1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/2520 + (23*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (92493*S[2, Infinity]^4)/112000 + 
   ((-99*S[-1, Infinity]^2)/256 - (449*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-25*S[-1, Infinity]^3)/96 + 
     (889*S[-1, Infinity]*S[2, Infinity])/64 + (557*S[3, Infinity])/64)*
    S[5, Infinity] - (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/15 + 
     (27*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/960 + (21*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (1879*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 - (13*S[-5, -1, Infinity])/8 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/315 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/14 - 
     (1537*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((19*S[-1, Infinity]^2)/128 - (5433*S[2, Infinity])/896)*
      S[5, Infinity] + (50201*S[7, Infinity])/3584 + 
     (47*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/96 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/8 - (1427*S[2, Infinity]^2)/560 - 
       (11*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (47*S[-5, 1, 1, Infinity] + 54*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (21280*S[-7, -1, Infinity] + 7157*S[5, 3, Infinity] + 
     5760*S[-5, -1, -1, -1, Infinity] - 320*S[-5, -1, 1, 1, Infinity] - 
     1920*S[-1, 1, 1, 1, Infinity]^2 + 6400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[1, -1, 1, 1, 2, -1, -1, Infinity] -> 
  (-101*S[-1, Infinity]^8)/8064 - (751*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (934957*S[2, Infinity]^4)/98000 + 
   ((-445*S[-1, Infinity]^2)/64 - (23111*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((787*S[-1, Infinity]^3)/192 + 
     (9403*S[-1, Infinity]*S[2, Infinity])/128 + (21705*S[3, Infinity])/896)*
    S[5, Infinity] - (96059*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-1321*S[-1, Infinity]^4)/840 - 
     (289*S[-1, 1, 1, 1, Infinity])/35) + 
   (23*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1369*S[-1, Infinity]^5)/6720 + 
     (977*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (9091*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (51*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1381*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((193*S[-1, Infinity]^6)/1440 - (3987*S[-5, -1, Infinity])/
      56 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-57*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-73*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/90 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (1005*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (433*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-533*S[-1, Infinity]^2)/64 - (119*S[2, Infinity])/8)*S[5, Infinity] + 
     (62749*S[7, Infinity])/1024 - (5*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/6 + S[3, Infinity]*(-S[-1, Infinity]^4/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 - (141*S[2, Infinity]^2)/160 + 
       (15*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/120 - (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(29*S[-5, -1, Infinity] + 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-18*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (4486400*S[-7, -1, Infinity] + 649657*S[5, 3, Infinity] + 
     398080*S[-5, -1, -1, -1, Infinity] + 430720*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 2383360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 1, 1, 2, -1, 1, Infinity] -> 
  (-661*S[-1, Infinity]^8)/40320 - (311*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (938601*S[2, Infinity]^4)/98000 + 
   ((-6371*S[-1, Infinity]^2)/1792 - (31013*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-25*S[-1, Infinity]^3)/96 + 
     (34271*S[-1, Infinity]*S[2, Infinity])/896 + (127219*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((-507*S[-1, Infinity]^4)/560 - 
     (207*S[-1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-307*S[-1, Infinity]^5)/3360 + 
     (607*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (70701*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (965*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/160 - (1679*S[-5, -1, Infinity])/
      28 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-64*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/1680 + 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (23*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     (1571*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-127*S[-1, Infinity]^2)/32 - (4761*S[2, Infinity])/448)*
      S[5, Infinity] + (21449*S[7, Infinity])/448 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/32 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 - (1571*S[2, Infinity]^2)/
        1120 - (25*S[-1, 1, 1, 1, Infinity])/8) - 
     (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] + 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-53*S[-5, 1, 1, Infinity] + 80*S[5, -1, -1, Infinity] + 
       812*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (6653120*S[-7, -1, Infinity] + 813777*S[5, 3, Infinity] + 
     426240*S[-5, -1, -1, -1, Infinity] + 774400*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 4157440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, 2, 1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/896 + (S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (23749*S[2, Infinity]^4)/112000 + 
   ((-43*S[-1, Infinity]^2)/128 + (205*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((415*S[-1, Infinity]^3)/192 - 
     (895*S[-1, Infinity]*S[2, Infinity])/64 + (113*S[3, Infinity])/64)*
    S[5, Infinity] + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/40 - 
     (29*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/320 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (305*S[-1, Infinity]*S[2, Infinity]^2)/64 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (35*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(7*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] + 
      76*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (309*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-409*S[-1, Infinity]^2)/64 + (73*S[2, Infinity])/448)*S[5, Infinity] + 
     (44573*S[7, Infinity])/3584 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/32 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 + (221*S[2, Infinity]^2)/
        280 + (23*S[-1, 1, 1, 1, Infinity])/8) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/24 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       8*S[-1, 1, 1, 1, 1, Infinity]) + 
     (2*S[-1, Infinity]*(-9*S[-5, -1, Infinity] - 
        35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
       14*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-8640*S[-7, -1, Infinity] - 4251*S[5, 3, Infinity] - 
     4480*S[-5, -1, -1, -1, Infinity] + 3520*S[-5, -1, 1, 1, Infinity] + 
     11520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[1, -1, 1, 1, 2, 1, 1, Infinity] -> (61*S[-1, Infinity]^8)/40320 + 
   (51*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (927*S[2, Infinity]^4)/
    78400 + ((-225*S[-1, Infinity]^2)/1792 - (8121*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((923*S[-1, Infinity]^3)/384 + 
     (11423*S[-1, Infinity]*S[2, Infinity])/896 + (61129*S[3, Infinity])/
      7168)*S[5, Infinity] - (47051*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((131*S[-1, Infinity]^4)/1120 - 
     (191*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (272704*S[-7, -1, Infinity] + 48957*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 27136*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/7168 - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/560 + 
     (289*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (28757*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (599*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(-18*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] + 
      133*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/5040 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (493*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-849*S[-1, Infinity]^2)/128 - (2399*S[2, Infinity])/896)*
      S[5, Infinity] + (136197*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (121*S[2, Infinity]^2)/560 + 
       (7*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] + 
        70*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
       560*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -1, -1, -2, -1, -1, Infinity] -> (-17*S[-1, Infinity]^8)/560 + 
   (5323*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (8068129*S[2, Infinity]^4)/784000 + 
   ((6473*S[-1, Infinity]^2)/896 + (14125*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-451*S[-1, Infinity]^3)/48 - 
     (40497*S[-1, Infinity]*S[2, Infinity])/448 - (45749*S[3, Infinity])/
      3584)*S[5, Infinity] + (80001*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((22*S[-1, Infinity]^4)/105 + 
     (801*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((599*S[-1, Infinity]^5)/2240 - 
     (669*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (15879*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1161*S[-1, 1, 1, 1, 1, Infinity])/28) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/48 + (29*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (421*S[2, Infinity]^3)/140 + (39*S[3, Infinity]^2)/8 - 
     (911*S[-1, Infinity]*S[5, Infinity])/128 - 13*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/24 + S[-1, 1, 1, 1, Infinity]) - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(101*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/96 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2833*S[-5, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((16*S[-1, Infinity]^7)/315 - 
     (197*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (2897*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (12651*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1739*S[-1, Infinity]^2)/32 + (67353*S[2, Infinity])/896)*
      S[5, Infinity] - (383535*S[7, Infinity])/1792 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/96 - 
       (53*S[-1, Infinity]^2*S[2, Infinity])/16 + (3361*S[2, Infinity]^2)/
        560 - (11*S[-1, 1, 1, 1, Infinity])/4) - 
     (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((43*S[-1, Infinity]^5)/240 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-733*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(221*S[-5, 1, 1, Infinity] - 234*S[5, -1, -1, Infinity] - 
        952*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(101*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4461120*S[-7, -1, Infinity] - 661223*S[5, 3, Infinity] - 
     432640*S[-5, -1, -1, -1, Infinity] - 369280*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 2419200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -1, -2, -1, 1, Infinity] -> 
  (-109*S[-1, Infinity]^8)/4032 + (3181*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4628683*S[2, Infinity]^4)/392000 + 
   ((261*S[-1, Infinity]^2)/56 + (34151*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-43*S[-1, Infinity]^3)/12 - 
     (3085*S[-1, Infinity]*S[2, Infinity])/28 - (8677*S[3, Infinity])/448)*
    S[5, Infinity] + (116*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-1081*S[-1, Infinity]^4)/3360 + 
     (459*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((353*S[-1, Infinity]^5)/1680 - (1441*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (9923*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (1147*S[-1, 1, 1, 1, 1, Infinity])/28) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/60 + (47*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + 
     (1737*S[2, Infinity]^3)/560 + ((-7*S[-1, Infinity]^3)/32 - 
       (21*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (417*S[3, Infinity]^2)/128 - (911*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^4/12 + S[-1, 1, 1, 1, Infinity]) - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-47*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((107*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (815*S[-5, -1, Infinity] + 294*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((29*S[-1, Infinity]^7)/720 - 
     (149*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (10513*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1405*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((1553*S[-1, Infinity]^2)/32 + (60887*S[2, Infinity])/896)*
      S[5, Infinity] - (1454139*S[7, Infinity])/7168 + 
     (281*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((133*S[-1, Infinity]^4)/192 - 
       (35*S[-1, Infinity]^2*S[2, Infinity])/16 + (6641*S[2, Infinity]^2)/
        1120 - (35*S[-1, 1, 1, 1, Infinity])/4) - 
     (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/10 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (562*S[-5, 1, 1, Infinity] - 635*S[5, -1, -1, Infinity] - 
       2548*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2630400*S[-7, -1, Infinity] - 396331*S[5, 3, Infinity] - 
     296960*S[-5, -1, -1, -1, Infinity] - 191360*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 1361920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, -1, -2, 1, -1, Infinity] -> 
  (241*S[-1, Infinity]^8)/40320 - (3149*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (833587*S[2, Infinity]^4)/784000 + 
   ((579*S[-1, Infinity]^2)/448 + (5513*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-717*S[-1, Infinity]^3)/128 - 
     (13707*S[-1, Infinity]*S[2, Infinity])/896 - (7419*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/112 + 
     S[-1, 1, 1, 1, Infinity]/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-803*S[-1, Infinity]^5)/6720 + 
     (215*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2917*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (79*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-41*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^4*S[2, Infinity])/32 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + S[2, Infinity]^3/35 + 
     ((-7*S[-1, Infinity]^3)/32 + (21*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (165*S[3, Infinity]^2)/256 - 
     (99*S[-1, Infinity]*S[5, Infinity])/64 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(47*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/1680 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (2397*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (135*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((353*S[-1, Infinity]^2)/128 - (2351*S[2, Infinity])/896)*
      S[5, Infinity] + (118005*S[7, Infinity])/7168 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/32 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 - (193*S[2, Infinity]^2)/280 - 
       (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/20 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) + (-54*S[-5, 1, 1, Infinity] + 
       79*S[5, -1, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-74880*S[-7, -1, Infinity] - 38021*S[5, 3, Infinity] - 
     69120*S[-5, -1, -1, -1, Infinity] + 33280*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -1, -2, 1, 1, Infinity] -> S[-1, Infinity]^8/1152 + 
   (1629*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (198319*S[2, Infinity]^4)/784000 + 
   ((3019*S[-1, Infinity]^2)/896 - (7057*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-529*S[-1, Infinity]^3)/64 + 
     (7317*S[-1, Infinity]*S[2, Infinity])/448 + (15851*S[3, Infinity])/1792)*
    S[5, Infinity] - (37319*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/840 + 
     (131*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-281*S[-1, Infinity]^5)/1680 + 
     (239*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (6439*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (361*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-369*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*((11*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (233*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] + (241*S[3, Infinity]^2)/256 - 
     (99*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      ((-7*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/2) - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-9*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-613*S[-5, -1, Infinity] + 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/280 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 - 
     (123*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (695*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((347*S[-1, Infinity]^2)/64 - (2585*S[2, Infinity])/224)*
      S[5, Infinity] + (38831*S[7, Infinity])/1792 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((29*S[-1, Infinity]^4)/192 - 
       (43*S[-1, Infinity]^2*S[2, Infinity])/32 - (251*S[2, Infinity]^2)/
        560 + (13*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]*(29*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (584320*S[-7, -1, Infinity] + 76693*S[5, 3, Infinity] + 
     66560*S[-5, -1, -1, -1, Infinity] + 58880*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -1, 2, -1, -1, Infinity] -> 
  (731*S[-1, Infinity]^8)/20160 - (4373*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (2685489*S[2, Infinity]^4)/196000 + 
   ((-769*S[-1, Infinity]^2)/224 - (8425*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((59*S[-1, Infinity]^3)/96 + 
     (2641*S[-1, Infinity]*S[2, Infinity])/28 + (39303*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((121*S[-1, Infinity]^4)/1680 - 
     (2017*S[-1, 1, 1, 1, Infinity])/280) - 
   (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-145*S[-1, Infinity]^5)/336 + 
     (725*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3959*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (725*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-259*S[-1, Infinity]^6)/1440 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1989*S[-5, -1, Infinity] - 742*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-209*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]^2*((19*S[-1, Infinity]^6)/480 - 
     (263*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (3643*S[2, Infinity]^3)/1120 - (39*S[3, Infinity]^2)/8 + 
     (245*S[-1, Infinity]*S[5, Infinity])/32 + 13*S[-5, -1, Infinity] + 
     S[2, Infinity]*((17*S[-1, Infinity]^4)/96 - (7*S[-1, 1, 1, 1, Infinity])/
        4) - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-173*S[-1, Infinity]^7)/2520 + (911*S[-1, Infinity]^3*S[2, Infinity]^2)/
      240 + (12899*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1635*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-6715*S[-1, Infinity]^2)/128 - (66925*S[2, Infinity])/896)*
      S[5, Infinity] + (1581991*S[7, Infinity])/7168 - 
     (327*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-49*S[-1, Infinity]^4)/192 + 
       (133*S[-1, Infinity]^2*S[2, Infinity])/32 - (4981*S[2, Infinity]^2)/
        1120 + (49*S[-1, 1, 1, 1, Infinity])/8) - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-31*S[-1, Infinity]^5)/240 + (7*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-654*S[-5, 1, 1, Infinity] + 725*S[5, -1, -1, Infinity] + 
       3024*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2723200*S[-7, -1, Infinity] + 403601*S[5, 3, Infinity] + 
     267520*S[-5, -1, -1, -1, Infinity] + 247680*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, -1, 2, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1008 - (1639*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (13176039*S[2, Infinity]^4)/784000 + 
   ((-2755*S[-1, Infinity]^2)/896 - (38553*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-127*S[-1, Infinity]^3)/96 + 
     (46049*S[-1, Infinity]*S[2, Infinity])/448 + (164149*S[3, Infinity])/
      3584)*S[5, Infinity] + (147619*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((15*S[-1, Infinity]^4)/224 - 
     (394*S[-1, 1, 1, 1, Infinity])/35) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1007*S[-1, Infinity]^5)/2240 + 
     (699*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (42751*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (438*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/480 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-4757*S[-5, -1, Infinity] - 
       1036*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((17*S[-1, Infinity]^6)/480 - 
     (191*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (3331*S[2, Infinity]^3)/1120 + ((-7*S[-1, Infinity]^3)/32 - 
       (21*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (459*S[3, Infinity]^2)/128 + (245*S[-1, Infinity]*S[5, Infinity])/32 + 
     10*S[-5, -1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^4/96 - 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     21*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-513*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-59*S[-1, Infinity]^7)/1008 + 
     (189*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (4647*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (11007*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-6467*S[-1, Infinity]^2)/128 - (61455*S[2, Infinity])/896)*
      S[5, Infinity] + (358593*S[7, Infinity])/1792 + 
     (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/96 + 
       (109*S[-1, Infinity]^2*S[2, Infinity])/32 - (3463*S[2, Infinity]^2)/
        560 + (25*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/60 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*(-181*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (9*(79*S[-5, 1, 1, Infinity] - 68*S[5, -1, -1, Infinity] - 
        308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-57*S[-5, 1, 1, Infinity] - 113*S[5, -1, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (6056640*S[-7, -1, Infinity] + 950853*S[5, 3, Infinity] + 
     622080*S[-5, -1, -1, -1, Infinity] + 556160*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 - 3100160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -1, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/840 - (403*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (391*S[2, Infinity]^4)/70 + ((925*S[-1, Infinity]^2)/896 + 
     (39*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-219*S[-1, Infinity]^3)/64 - (2775*S[-1, Infinity]*S[2, Infinity])/224)*
    S[5, Infinity] + (146487*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/96 - 
     (87*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   3*S[-1, 1, 1, 1, Infinity]^2 + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/320 - (49*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (6633*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/360 - 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/60 + 
     (7*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (11*S[2, Infinity]^3)/14 + 
     ((-7*S[-1, Infinity]^3)/32 - (21*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (39*S[3, Infinity]^2)/128 + 
     (81*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      ((-5*S[-1, Infinity]^4)/24 - (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(15*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-103*S[-1, Infinity]^7)/5040 - 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (41*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (925*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((849*S[-1, Infinity]^2)/128 + (11667*S[2, Infinity])/448)*
      S[5, Infinity] - (200247*S[7, Infinity])/3584 + 
     S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/32 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 + (891*S[2, Infinity]^2)/
        280 + (21*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((23*S[-1, Infinity]^5)/120 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(15*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
        42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   28*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, 2, 1, 1, Infinity] -> (37*S[-1, Infinity]^8)/2880 + 
   (417*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (628123*S[2, Infinity]^4)/392000 + 
   ((99*S[-1, Infinity]^2)/112 + (2301*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((27*S[-1, Infinity]^3)/128 - 
     (16329*S[-1, Infinity]*S[2, Infinity])/896 - (30307*S[3, Infinity])/
      1792)*S[5, Infinity] + (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-163*S[-1, Infinity]^4)/1120 + 
     (433*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/1680 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (4139*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (173*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*((13*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (3*S[2, Infinity]^3)/10 + 
     ((-7*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (49*S[3, Infinity]^2)/64 + 
     (81*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      (-S[-1, Infinity]^4/24 - (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/420 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (1341*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (3*S[-1, Infinity]^2 + (11667*S[2, Infinity])/896)*S[5, Infinity] - 
     (254007*S[7, Infinity])/7168 - (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/64 + 
       (49*S[-1, Infinity]^2*S[2, Infinity])/32 + (3537*S[2, Infinity]^2)/
        560 + (21*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/240 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-350720*S[-7, -1, Infinity] - 94811*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 62720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, 1, -2, -1, -1, Infinity] -> 
  (-107*S[-1, Infinity]^8)/40320 - (6049*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (9082229*S[2, Infinity]^4)/784000 + 
   ((-8083*S[-1, Infinity]^2)/1792 - (1423*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-55*S[-1, Infinity]^3)/24 + 
     (45859*S[-1, Infinity]*S[2, Infinity])/896 + (178197*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-2559*S[-1, Infinity]^4)/2240 - (953*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/3360 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (19391*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (270*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-771*S[-5, -1, Infinity] - 
       182*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/480 - 
     (263*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (263*S[2, Infinity]^3)/160 + ((7*S[-1, Infinity]^3)/32 - 
       (21*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (459*S[3, Infinity]^2)/256 - (99*S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*((31*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (10*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-419*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/84 + 
     (911*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (7899*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (295*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-3677*S[-1, Infinity]^2)/128 - (7033*S[2, Infinity])/128)*
      S[5, Infinity] + (165179*S[7, Infinity])/1024 - 
     (59*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[3, Infinity]*((-67*S[-1, Infinity]^4)/192 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/8 - (1737*S[2, Infinity]^2)/
        320 + S[-1, 1, 1, 1, Infinity]/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-27*S[-1, Infinity]^5)/80 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-59*S[-5, 1, 1, Infinity] + 77*S[5, -1, -1, Infinity] + 
       292*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (7492160*S[-7, -1, Infinity] + 1124251*S[5, 3, Infinity] + 
     661760*S[-5, -1, -1, -1, Infinity] + 753920*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 4193280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 1, -2, -1, 1, Infinity] -> 
  (-167*S[-1, Infinity]^8)/20160 - (131*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 - (4230031*S[2, Infinity]^4)/392000 + 
   ((-1615*S[-1, Infinity]^2)/1792 - (25323*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1463*S[-1, Infinity]^3)/192 + 
     (56037*S[-1, Infinity]*S[2, Infinity])/896 + (108765*S[3, Infinity])/
      3584)*S[5, Infinity] + (21225*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-2449*S[-1, Infinity]^4)/3360 - 
     (1037*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/21 + 
     (193*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (64273*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (340*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-967*S[-5, -1, Infinity] - 
       70*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^6)/160 - 
     (59*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (197*S[2, Infinity]^3)/
      160 - (111*S[3, Infinity]^2)/64 - (99*S[-1, Infinity]*S[5, Infinity])/
      64 + S[2, Infinity]*((19*S[-1, Infinity]^4)/96 - 
       S[-1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (37*S[-5, -1, Infinity] - 
       60*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-713*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      36*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((37*S[-1, Infinity]^7)/1680 + 
     (117*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (1423*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (1943*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-2995*S[-1, Infinity]^2)/128 - (6471*S[2, Infinity])/128)*
      S[5, Infinity] + (71977*S[7, Infinity])/512 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (179*S[2, Infinity]^2)/40 + 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/60 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(47*S[-5, -1, Infinity] + 
        24*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-25*S[-5, 1, 1, Infinity] + 32*S[5, -1, -1, Infinity] + 
       128*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (2249920*S[-7, -1, Infinity] + 337397*S[5, 3, Infinity] + 
     212480*S[-5, -1, -1, -1, Infinity] + 215360*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1164800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, 1, -2, 1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/4480 + (9*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1776161*S[2, Infinity]^4)/784000 + 
   ((7775*S[-1, Infinity]^2)/1792 + (633*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2647*S[-1, Infinity]^3)/384 - 
     (12399*S[-1, Infinity]*S[2, Infinity])/896 - (10329*S[3, Infinity])/
      1792)*S[5, Infinity] + (217627*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((2591*S[-1, Infinity]^4)/3360 - 
     (3*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/112 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (4591*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/720 - (37*S[-5, -1, Infinity])/
      28 + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/240 - 
     (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (103*S[2, Infinity]^3)/
      1120 + (9*S[3, Infinity]^2)/64 + (25*S[-1, Infinity]*S[5, Infinity])/
      64 - (3*S[-5, -1, Infinity])/8 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-22*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((47*S[-1, Infinity]^7)/5040 + 
     (7*S[-1, Infinity]^5*S[2, Infinity])/60 - 
     (151*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (87*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-3*S[-1, Infinity]^2*S[2, Infinity])/32 + (1047*S[2, Infinity]^2)/560)*
      S[3, Infinity] - (5497*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((1345*S[-1, Infinity]^2)/128 + (17517*S[2, Infinity])/896)*
      S[5, Infinity] - (306225*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-73*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (3*(44*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(92*S[-5, 1, 1, Infinity] - 111*S[5, -1, -1, Infinity] - 
      420*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (72640*S[-7, -1, Infinity] - 1249*S[5, 3, Infinity] - 
     7040*S[-5, -1, -1, -1, Infinity] + 4800*S[-5, -1, 1, 1, Infinity] - 
     224000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, 1, -1, 1, -2, 1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/10080 - 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2327*S[2, Infinity]^4)/3920 + ((341*S[-1, Infinity]^2)/1792 + 
     (3973*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((25*S[-1, Infinity]^3)/192 - (5825*S[-1, Infinity]*S[2, Infinity])/448 - 
     (69697*S[3, Infinity])/7168)*S[5, Infinity] + 
   (125*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/840 - 
     (17*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((157*S[-1, Infinity]^5)/1120 - (317*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (29853*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (289*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/360 + 
     (7*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (251*S[2, Infinity]^3)/
      1120 + ((7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (19*S[3, Infinity]^2)/256 + 
     (25*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*(S[-1, Infinity]^7/280 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (407*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((223*S[-1, Infinity]^2)/64 + (215*S[2, Infinity])/28)*S[5, Infinity] - 
     (44299*S[7, Infinity])/3584 + (10*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + S[3, Infinity]*((-29*S[-1, Infinity]^4)/192 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 + (1367*S[2, Infinity]^2)/
        1120 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-17*S[-1, Infinity]^5)/240 + S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity]) - (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (10*S[-5, 1, 1, Infinity] - 18*S[5, -1, -1, Infinity] + 
       21*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-251200*S[-7, -1, Infinity] - 47081*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 23552*S[-5, -1, 1, 1, Infinity] - 
     28672*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, 1, -1, 1, 2, -1, -1, Infinity] -> (-37*S[-1, Infinity]^8)/1344 + 
   (5669*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (629773*S[2, Infinity]^4)/56000 + 
   ((409*S[-1, Infinity]^2)/224 + (3051*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-3391*S[-1, Infinity]^3)/384 - 
     (37027*S[-1, Infinity]*S[2, Infinity])/896 - (17957*S[3, Infinity])/
      1024)*S[5, Infinity] + (445855*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((107*S[-1, Infinity]^4)/80 + 
     (13*S[-1, 1, 1, 1, Infinity])/20) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((77*S[-1, Infinity]^5)/120 - 
     (91*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (86201*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (145*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((91*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(-19*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/120 + 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (2259*S[2, Infinity]^3)/
      1120 + ((7*S[-1, Infinity]^3)/32 + (21*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (237*S[3, Infinity]^2)/128 + 
     (87*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/6 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-43*S[-5, -1, Infinity] + 108*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/168 - 
     (197*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (2039*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (2471*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((513*S[-1, Infinity]^2)/16 + (3359*S[2, Infinity])/64)*S[5, Infinity] - 
     (19447*S[7, Infinity])/128 + S[3, Infinity]*
      ((-17*S[-1, Infinity]^4)/48 - (43*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (109*S[2, Infinity]^2)/20 + (5*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((9*S[-1, Infinity]^5)/80 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-77*S[-5, -1, Infinity] + 
        24*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (34*S[-5, 1, 1, Infinity] - 35*S[5, -1, -1, Infinity] - 
       146*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 223*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-709440*S[-7, -1, Infinity] - 84829*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 92160*S[-5, -1, 1, 1, Infinity] - 
     20480*S[-1, 1, 1, 1, Infinity]^2 + 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, -1, 1, 2, -1, 1, Infinity] -> 
  (-871*S[-1, Infinity]^8)/40320 + (591*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (360841*S[2, Infinity]^4)/31360 + 
   ((2769*S[-1, Infinity]^2)/896 + (36865*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((143*S[-1, Infinity]^3)/384 - 
     (32983*S[-1, Infinity]*S[2, Infinity])/896 - (26861*S[3, Infinity])/
      1792)*S[5, Infinity] + (177*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((2899*S[-1, Infinity]^4)/6720 + 
     (1067*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((587*S[-1, Infinity]^5)/3360 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (15759*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1147*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/240 + 
     (233*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (417*S[2, Infinity]^3)/224 + (21*S[-1, Infinity]*S[2, Infinity]*
       S[3, Infinity])/16 + (681*S[3, Infinity]^2)/256 + 
     (87*S[-1, Infinity]*S[5, Infinity])/64 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/48 + (7*S[-1, 1, 1, 1, Infinity])/
        4) + (-17*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/
      4) + S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1553*S[-5, -1, Infinity] + 294*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((97*S[-1, Infinity]^7)/5040 - 
     (97*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (1857*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (2165*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((1463*S[-1, Infinity]^2)/64 + (12899*S[2, Infinity])/448)*
      S[5, Infinity] - (643177*S[7, Infinity])/7168 + 
     (433*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((67*S[-1, Infinity]^4)/192 - 
       (77*S[-1, Infinity]^2*S[2, Infinity])/16 - (7257*S[2, Infinity]^2)/
        2240 - (67*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((19*S[-1, Infinity]^5)/120 - 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + (433*S[-5, 1, 1, Infinity] - 
       267*S[5, -1, -1, Infinity] - 1736*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-20966*S[-7, -1, Infinity] - 2601*S[5, 3, Infinity] - 
     1416*S[-5, -1, -1, -1, Infinity] - 2392*S[-5, -1, 1, 1, Infinity] - 
     448*S[-1, 1, 1, 1, Infinity]^2 + 12880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/112, S[1, 1, -1, 1, 2, 1, -1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/5760 - (1717*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (82247*S[2, Infinity]^4)/112000 + 
   ((93*S[-1, Infinity]^2)/128 + (639*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-601*S[-1, Infinity]^3)/384 - (1087*S[-1, Infinity]*S[2, Infinity])/64 - 
     (1435*S[3, Infinity])/128)*S[5, Infinity] + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-557*S[-1, Infinity]^4)/960 + 
     (15*S[-1, 1, 1, 1, Infinity])/4) - 
   (3*(9440*S[-7, -1, Infinity] + 2609*S[5, 3, Infinity] + 
      1920*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2))/1280 + 
   S[3, Infinity]*((-67*S[-1, Infinity]^5)/960 - 
     (53*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (1207*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (53*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (17*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/160 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + S[2, Infinity]^3/2 + 
     (45*S[3, Infinity]^2)/64 - 3*S[-1, Infinity]*S[5, Infinity] - 
     (15*S[-5, -1, Infinity])/8 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + S[2, Infinity]*(S[-1, Infinity]^4/32 + 
       (9*S[-1, 1, 1, 1, Infinity])/4) - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/180 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(5*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (3*S[-1, Infinity]^2*(5*S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/1680 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (33*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (75*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((291*S[-1, Infinity]^2)/128 - (6159*S[2, Infinity])/896)*
      S[5, Infinity] + (86271*S[7, Infinity])/3584 + 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 - 
       (45*S[-1, Infinity]^2*S[2, Infinity])/32 - (1335*S[2, Infinity]^2)/
        448 - 6*S[-1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*(-5*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[1, 1, -1, 1, 2, 1, 1, Infinity] -> -S[-1, Infinity]^8/63 - 
   (883*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (240421*S[2, Infinity]^4)/392000 + 
   ((-115*S[-1, Infinity]^2)/128 - (1031*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1463*S[-1, Infinity]^3)/192 - 
     (1251*S[-1, Infinity]*S[2, Infinity])/128 - (11055*S[3, Infinity])/7168)*
    S[5, Infinity] + (318803*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-1811*S[-1, Infinity]^4)/6720 - 
     (151*S[-1, 1, 1, 1, Infinity])/70) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((1949*S[-1, Infinity]^5)/6720 - 
     (1081*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1273*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (25*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (17*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*((-19*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (27*S[2, Infinity]^3)/70 + 
     ((7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (131*S[3, Infinity]^2)/256 - 
     3*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      ((7*S[-1, Infinity]^4)/96 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/180 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-163*S[-5, -1, Infinity] + 182*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] - 171*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/420 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (919*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((533*S[-1, Infinity]^2)/64 + (2197*S[2, Infinity])/224)*
      S[5, Infinity] - (146261*S[7, Infinity])/7168 - 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-15*S[-1, Infinity]^4)/64 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/16 + (965*S[2, Infinity]^2)/
        448 + 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-43*S[-1, Infinity]^5)/240 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-17*S[-5, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (34*S[-5, 1, 1, Infinity] - 99*S[5, -1, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (812480*S[-7, -1, Infinity] + 144657*S[5, 3, Infinity] + 
     124160*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 322560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 1, -1, -2, -1, -1, Infinity] -> 
  (-143*S[-1, Infinity]^8)/20160 + (2329*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (3972853*S[2, Infinity]^4)/784000 + 
   ((95*S[-1, Infinity]^2)/1792 + (5417*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (5673*S[-1, Infinity]*S[2, Infinity])/896 + (27589*S[3, Infinity])/
      21504)*S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    24 + S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/224 + 
     (65*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-293*S[-1, Infinity]^5)/5040 - (1355*S[-1, Infinity]^3*S[2, Infinity])/
      2016 - (5703*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (214*S[-1, 1, 1, 1, 1, Infinity])/21) + S[1, Infinity]^3*
    ((-7*S[-1, Infinity]^5)/720 + (17*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     ((7*S[-1, Infinity]^2)/32 + (7*S[2, Infinity])/32)*S[3, Infinity] - 
     (911*S[5, Infinity])/384 + (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 - (13*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(163*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/96 + 
     (301*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (2141*S[2, Infinity]^3)/1120 + ((-7*S[-1, Infinity]^3)/16 - 
       (21*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (597*S[3, Infinity]^2)/256 + S[2, Infinity]*
      ((-25*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-31*S[-5, -1, Infinity] + 60*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/160 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (96*S[-5, -1, Infinity] + 
       175*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((41*S[-1, Infinity]^7)/5040 - 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (1157*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((341*S[-1, Infinity]^2)/64 + (5197*S[2, Infinity])/896)*
      S[5, Infinity] - (368455*S[7, Infinity])/7168 + 
     (26*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((35*S[-1, Infinity]^4)/96 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 + (5721*S[2, Infinity]^2)/
        2240 - (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (17*S[-1, 1, 1, 1, 1, Infinity])/2) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (104*S[-5, 1, 1, Infinity] - 
       155*S[5, -1, -1, Infinity] - 756*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-1929920*S[-7, -1, Infinity] - 251247*S[5, 3, Infinity] - 
     119040*S[-5, -1, -1, -1, Infinity] - 167680*S[-5, -1, 1, 1, Infinity] + 
     1720320*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, -2, -1, 1, Infinity] -> -S[-1, Infinity]^8/560 + 
   (319*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (438863*S[2, Infinity]^4)/
    98000 + ((435*S[-1, Infinity]^2)/256 + (7031*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 - 
     (141*S[-1, Infinity]*S[2, Infinity])/8 - (56437*S[3, Infinity])/10752)*
    S[5, Infinity] + (57163*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-261*S[-1, Infinity]^4)/1120 + 
     (68*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-677*S[-1, Infinity]^5)/20160 + (187*S[-1, Infinity]^3*S[2, Infinity])/
      2016 - (1757*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (71*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (226*S[-1, 1, 1, 1, 1, Infinity])/21) + S[1, Infinity]^3*
    ((-7*S[-1, Infinity]^5)/720 + (S[-1, Infinity]^3*S[2, Infinity])/9 - 
     (9*S[-1, Infinity]*S[2, Infinity]^2)/16 - (911*S[5, Infinity])/384 + 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(9*S[-5, -1, Infinity] - 
      22*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/480 + 
     (269*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (227*S[2, Infinity]^3)/160 + (39*S[3, Infinity]^2)/16 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]/
        4) - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-13*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((79*S[-1, Infinity]^6)/1440 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (101*S[-5, -1, Infinity] + 
       812*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/630 - 
     (113*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (5451*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (4971*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((1023*S[-1, Infinity]^2)/128 + (3181*S[2, Infinity])/224)*
      S[5, Infinity] - (482781*S[7, Infinity])/7168 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/8 + (61*S[2, Infinity]^2)/28 + 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/20 + 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (9*S[-1, 1, 1, 1, 1, Infinity])/2) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-101*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(57*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(67*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-25280*S[-7, -1, Infinity] - 3729*S[5, 3, Infinity] - 
     2400*S[-5, -1, -1, -1, Infinity] - 1660*S[-5, -1, 1, 1, Infinity] + 
     840*S[-1, 1, 1, 1, Infinity]^2 + 19600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[1, 1, 1, -1, -2, 1, -1, Infinity] -> 
  (27*S[-1, Infinity]^8)/4480 - (487*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (44087*S[2, Infinity]^4)/784000 + 
   ((2875*S[-1, Infinity]^2)/1792 - (2469*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/128 + 
     (2483*S[-1, Infinity]*S[2, Infinity])/896 - (14187*S[3, Infinity])/1792)*
    S[5, Infinity] + (24361*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/28 + (81*S[-1, 1, 1, 1, Infinity])/
      140) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/360 - 
     (S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/240 - (33*S[5, Infinity])/64 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1891*S[-1, Infinity]^5)/20160 + 
     (109*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (26827*S[-1, Infinity]*S[2, Infinity]^2)/6720 + 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 + 
     (73*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/180 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(-27*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/120 + 
     (11*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (45*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (8*S[2, Infinity]^3)/35 - 
     (45*S[3, Infinity]^2)/32 + (279*S[-1, Infinity]*S[5, Infinity])/128 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(5*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-47*S[-1, Infinity]^7)/5040 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (1709*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((21*S[-1, Infinity]^2*S[2, Infinity])/32 - (199*S[2, Infinity]^2)/560)*
      S[3, Infinity] + (1363*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-217*S[-1, Infinity]^2)/64 - (5275*S[2, Infinity])/896)*
      S[5, Infinity] - (58691*S[7, Infinity])/7168 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(99*S[-5, -1, Infinity] - 
        280*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      210*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (315360*S[-7, -1, Infinity] + 26283*S[5, 3, Infinity] + 
     5760*S[-5, -1, -1, -1, Infinity] + 27840*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, -1, -2, 1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/13440 - (39*S[-1, Infinity]^2*S[2, Infinity]^3)/32 - 
   (433009*S[2, Infinity]^4)/392000 + 
   ((-647*S[-1, Infinity]^2)/5376 - (487*S[2, Infinity])/168)*
    S[3, Infinity]^2 + ((159*S[-1, Infinity]*S[2, Infinity])/28 + 
     (8653*S[3, Infinity])/7168)*S[5, Infinity] - 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/1120 - 
     (11*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/180 + 
     (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     ((7*S[-1, Infinity]^2)/96 + (7*S[2, Infinity])/96)*S[3, Infinity] + 
     (27*S[5, Infinity])/128 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     S[-1, 1, 1, 1, 1, Infinity]/6) + S[3, Infinity]*
    ((-359*S[-1, Infinity]^5)/5040 + (295*S[-1, Infinity]^3*S[2, Infinity])/
      2016 + (10193*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/21) + S[1, Infinity]^2*
    ((7*S[-1, Infinity]^6)/720 - (5*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (3*S[2, Infinity]^3)/35 + 
     ((-7*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (229*S[3, Infinity]^2)/256 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (15*S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-(S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-52*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/2520 + 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (3053*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((7*S[-1, Infinity]^4)/64 + (7*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (1173*S[2, Infinity]^2)/1120)*S[3, Infinity] + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-465*S[-1, Infinity]^2)/128 - (565*S[2, Infinity])/112)*
      S[5, Infinity] + (136197*S[7, Infinity])/7168 - 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + (-52*S[-5, 1, 1, Infinity] + 
       53*S[5, -1, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (981440*S[-7, -1, Infinity] + 147377*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, 2, -1, -1, Infinity] -> (11*S[-1, Infinity]^8)/5040 - 
   (701*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (14093*S[2, Infinity]^4)/6125 + ((-387*S[-1, Infinity]^2)/448 - 
     (18335*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-465*S[-1, Infinity]^3)/128 + (13495*S[-1, Infinity]*S[2, Infinity])/
      896 - (276505*S[3, Infinity])/21504)*S[5, Infinity] + 
   (66083*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((79*S[-1, Infinity]^4)/224 - 
     (18*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/180 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (27*S[-1, Infinity]*S[2, Infinity]^2)/40 + (245*S[5, Infinity])/96 - 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (8*S[-1, 1, 1, 1, 1, Infinity])/3) + S[3, Infinity]*
    ((2909*S[-1, Infinity]^5)/20160 + (1151*S[-1, Infinity]^3*S[2, Infinity])/
      2016 + (29079*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (47*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 + 
     (691*S[-1, 1, 1, 1, 1, Infinity])/84) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/288 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(23*S[-5, -1, Infinity] - 280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/80 + 
     (11*S[-1, Infinity]^4*S[2, Infinity])/48 - 
     (87*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (3*S[2, Infinity]^3)/2 + 
     ((7*S[-1, Infinity]^3)/32 + (21*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (441*S[3, Infinity]^2)/128 + 
     (31*S[-1, Infinity]*S[5, Infinity])/64 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (5*(7*S[-5, -1, Infinity] - 
        12*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (3*S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(45*S[-5, 1, 1, Infinity] - 88*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/2520 + 
     (51*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (6023*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (3299*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-217*S[-1, Infinity]^2)/64 - (607*S[2, Infinity])/448)*
      S[5, Infinity] + (246011*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-61*S[-1, Infinity]^4)/192 - 
       (S[-1, Infinity]^2*S[2, Infinity])/16 - (191*S[2, Infinity]^2)/280 - 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       8*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(167*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (S[-5, 1, 1, Infinity] + 85*S[5, -1, -1, Infinity] + 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2469440*S[-7, -1, Infinity] + 332161*S[5, 3, Infinity] + 
     257280*S[-5, -1, -1, -1, Infinity] + 56320*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 2042880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 1, -1, 2, -1, 1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/20160 - (747*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (2851781*S[2, Infinity]^4)/784000 + 
   ((-341*S[-1, Infinity]^2)/224 - (13329*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 + 
     (11453*S[-1, Infinity]*S[2, Infinity])/448 + (40247*S[3, Infinity])/
      10752)*S[5, Infinity] - (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((1667*S[-1, Infinity]^4)/3360 - 
     (41*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/120 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     ((-7*S[-1, Infinity]^2)/32 - (7*S[2, Infinity])/32)*S[3, Infinity] + 
     (521*S[5, Infinity])/192 - (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 + (7*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/112 + 
     (2581*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (13067*S[-1, Infinity]*S[2, Infinity]^2)/1344 - 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (335*S[-1, 1, 1, 1, 1, Infinity])/84) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(23*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/40 + 
     (3*S[-1, Infinity]^4*S[2, Infinity])/16 - 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (1041*S[2, Infinity]^3)/
      560 + ((21*S[-1, Infinity]^3)/32 + (21*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] - (111*S[3, Infinity]^2)/256 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (23*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/336 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/30 + 
     (5251*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (55*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-961*S[-1, Infinity]^2)/128 - (9185*S[2, Infinity])/896)*
      S[5, Infinity] + (510343*S[7, Infinity])/7168 - 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-35*S[-1, Infinity]^4)/48 - 
       (49*S[-1, Infinity]^2*S[2, Infinity])/32 - (2501*S[2, Infinity]^2)/
        448 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-29*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       7*S[-1, 1, 1, 1, 1, Infinity]) + (-44*S[-5, 1, 1, Infinity] + 
       173*S[5, -1, -1, Infinity] + 840*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (832960*S[-7, -1, Infinity] + 153637*S[5, 3, Infinity] + 
     138240*S[-5, -1, -1, -1, Infinity] - 21760*S[-5, -1, 1, 1, Infinity] - 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, -1, 2, 1, -1, Infinity] -> (-13*S[-1, Infinity]^8)/560 + 
   (703*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (314417*S[2, Infinity]^4)/392000 + 
   ((-895*S[-1, Infinity]^2)/448 - (123*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/32 + 
     (7179*S[-1, Infinity]*S[2, Infinity])/896 + (22699*S[3, Infinity])/3584)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((171*S[-1, Infinity]^4)/1120 + 
     (297*S[-1, 1, 1, 1, Infinity])/280) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/48 - (S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     ((-7*S[-1, Infinity]^2)/32 - (7*S[2, Infinity])/32)*S[3, Infinity] + 
     (29*S[5, Infinity])/64 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((1889*S[-1, Infinity]^5)/6720 + 
     (S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1483*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (139*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/480 + (129*S[-5, -1, Infinity])/
      28 + (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-31*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/4 + (173*S[2, Infinity]^3)/1120 + 
     (21*S[-1, Infinity]^3*S[3, Infinity])/32 + (69*S[3, Infinity]^2)/64 + 
     S[2, Infinity]*((3*S[-1, Infinity]^4)/16 + (3*S[-1, 1, 1, 1, Infinity])/
        4) + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(3*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(4*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((4*S[-1, Infinity]^7)/63 - 
     (161*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1861*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-279*S[-1, Infinity]^2)/64 - (1843*S[2, Infinity])/224)*
      S[5, Infinity] + (158131*S[7, Infinity])/7168 + 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-53*S[-1, Infinity]^4)/96 - 
       (41*S[-1, Infinity]^2*S[2, Infinity])/32 - (7619*S[2, Infinity]^2)/
        2240 - (5*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-31*S[-1, Infinity]^5)/240 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (26*S[-5, 1, 1, Infinity] + 
       61*S[5, -1, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-19360*S[-7, -1, Infinity] + 12741*S[5, 3, Infinity] + 
     21760*S[-5, -1, -1, -1, Infinity] - 19520*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, -1, 2, 1, 1, Infinity] -> 
  (-361*S[-1, Infinity]^8)/20160 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/
    14 + (773797*S[2, Infinity]^4)/784000 + 
   ((-7507*S[-1, Infinity]^2)/2688 - (1531*S[2, Infinity])/1344)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 - 
     (3333*S[-1, Infinity]*S[2, Infinity])/448 - (46883*S[3, Infinity])/7168)*
    S[5, Infinity] + (120417*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/840 - 
     (543*S[-1, 1, 1, 1, Infinity])/280) + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((3593*S[-1, Infinity]^5)/10080 - 
     (1325*S[-1, Infinity]^3*S[2, Infinity])/1008 - 
     (37801*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (109*S[-1, 1, 1, 1, 1, Infinity])/168) + 
   S[1, Infinity]^3*((11*S[-1, Infinity]^5)/720 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/48 + 
     ((-7*S[-1, Infinity]^2)/48 + (7*S[2, Infinity])/48)*S[3, Infinity] + 
     (27*S[5, Infinity])/128 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (5*S[-1, Infinity]^2*(9*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*((-67*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (163*S[2, Infinity]^3)/
      1120 + ((49*S[-1, Infinity]^3)/96 - (35*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] - (209*S[3, Infinity]^2)/256 + 
     (93*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      (S[-1, Infinity]^4/4 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-57*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((227*S[-1, Infinity]^7)/5040 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1189*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-217*S[-1, Infinity]^2)/128 + (5801*S[2, Infinity])/896)*
      S[5, Infinity] - (82703*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-101*S[-1, Infinity]^4)/192 + 
       (19*S[-1, Infinity]^2*S[2, Infinity])/16 + (2017*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-9*S[-1, Infinity]^5)/40 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(53*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (38*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (417600*S[-7, -1, Infinity] + 85887*S[5, 3, Infinity] + 
     78080*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, 1, 1, -2, -1, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/1152 - (253*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (964231*S[2, Infinity]^4)/784000 + 
   ((1315*S[-1, Infinity]^2)/896 - (43*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/64 + (293*S[-1, Infinity]*S[2, Infinity])/448 - 
     (4519*S[3, Infinity])/1792)*S[5, Infinity] + 
   (49611*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[1, Infinity]^4*(-S[-1, Infinity]^4/144 - 
     (S[-1, Infinity]^2*S[2, Infinity])/48 + (7*S[2, Infinity]^2)/120 + 
     (7*S[-1, Infinity]*S[3, Infinity])/64 + S[-1, 1, 1, 1, Infinity]/6) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/3360 + 
     (237*S[-1, 1, 1, 1, Infinity])/140) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/90 - (S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/240 - 
     (7*S[-1, Infinity]^2*S[3, Infinity])/32 - (33*S[5, Infinity])/64 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-463*S[-1, Infinity]^5)/4032 + 
     (389*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (37*S[-1, Infinity]*S[2, Infinity]^2)/21 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-79*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/72 - 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + S[2, Infinity]^3/28 + 
     ((7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (107*S[3, Infinity]^2)/128 + 
     (279*S[-1, Infinity]*S[5, Infinity])/128 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[2, Infinity]*(S[-1, Infinity]^4/32 + S[-1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (19*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/420 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (1637*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (109*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     (3847*S[2, Infinity]*S[5, Infinity])/896 - (158127*S[7, Infinity])/
      7168 + S[3, Infinity]*((-13*S[-1, Infinity]^4)/288 - 
       (43*S[-1, Infinity]^2*S[2, Infinity])/96 + (293*S[2, Infinity]^2)/
        336 + (13*S[-1, 1, 1, 1, Infinity])/12) + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) - S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(55*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (8*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (158880*S[-7, -1, Infinity] + 13451*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 18240*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 161280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, 1, -2, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/2016 - (247*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (473*S[2, Infinity]^4)/3500 + 
   ((9*S[-1, Infinity]^2)/128 - (17*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-3*S[-1, Infinity]*S[2, Infinity])/2 - (1355*S[3, Infinity])/512)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[1, Infinity]^4*(-S[-1, Infinity]^4/192 + (13*S[2, Infinity]^2)/320 + 
     S[-1, 1, 1, 1, Infinity]/8) + S[2, Infinity]^2*
    ((-23*S[-1, Infinity]^4)/960 + (23*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/720 - 
     (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (43*S[-1, Infinity]*S[2, Infinity]^2)/240 + (27*S[5, Infinity])/128 - 
     S[-1, 1, 1, 1, 1, Infinity]/6) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/360 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/144 - 
     (397*S[-1, Infinity]*S[2, Infinity]^2)/960 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/12) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (209*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (109*S[3, Infinity]^2)/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + (3*S[-1, 1, 1, 1, Infinity])/
        4) + (5*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/2520 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (2127*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (551*S[2, Infinity]*S[5, Infinity])/128 - (8415*S[7, Infinity])/1024 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/192 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (93*S[2, Infinity]^2)/40 + 
       (11*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (S[-1, Infinity]^5/48 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + (-5*S[-5, 1, 1, Infinity] - 
       5*S[5, -1, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (8000*S[-7, -1, Infinity] - 1207*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2 - 2560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, 1, 1, 1, -2, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/2688 + (501*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (521*S[2, Infinity]^4)/1400 + S[1, Infinity]^4*
    ((S[-1, Infinity]^2*S[2, Infinity])/32 + S[2, Infinity]^2/320) + 
   (S[-1, Infinity]^2/8 + (81*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 + (31*S[-1, Infinity]*S[2, Infinity])/64 + 
     (271*S[3, Infinity])/384)*S[5, Infinity] + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/240 - S[-1, 1, 1, 1, Infinity]/
      5) - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/720 + 
     (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/120 + (25*S[5, Infinity])/192 + 
     S[-1, 1, 1, 1, 1, Infinity]/6) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/576 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/288 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/24 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/24) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + S[1, Infinity]^2*
    ((13*S[-1, Infinity]^6)/1440 + (13*S[-1, Infinity]^2*S[2, Infinity]^2)/
      40 + (21*S[2, Infinity]^3)/160 + ((-7*S[-1, Infinity]^3)/96 + 
       (7*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (17*S[3, Infinity]^2)/256 + S[2, Infinity]*(-S[-1, Infinity]^4/32 - 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/840 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-31*S[-1, Infinity]^2)/32 - (7*S[2, Infinity])/64)*S[5, Infinity] + 
     (349*S[7, Infinity])/256 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/192 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (71*S[2, Infinity]^2)/160 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/120 - S[-1, 1, 1, 1, 1, Infinity]/2) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-768*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] + 128*S[-1, 1, 1, 1, Infinity]^2 + 
     1024*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[1, 1, 1, 1, -2, 1, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (3727*S[2, Infinity]^4)/11200 + ((65*S[-1, Infinity]^2)/48 - 
     (47*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 - (33*S[-1, Infinity]*S[2, Infinity])/64 + 
     (1085*S[3, Infinity])/768)*S[5, Infinity] + 
   (63*S[-1, Infinity]*S[7, Infinity])/32 + S[1, Infinity]^2*
    ((S[-1, Infinity]^2*S[2, Infinity]^2)/8 + (69*S[2, Infinity]^3)/1120 + 
     (7*S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/16 + 
     (49*S[3, Infinity]^2)/256 + S[2, Infinity]*(-S[-1, Infinity]^4/48 + 
       S[-1, 1, 1, 1, Infinity]/2)) + S[1, Infinity]^4*
    (-S[-1, Infinity]^4/576 + (S[-1, Infinity]^2*S[2, Infinity])/96 + 
     S[2, Infinity]^2/192 + (7*S[-1, Infinity]*S[3, Infinity])/192 + 
     S[-1, 1, 1, 1, Infinity]/24) + S[2, Infinity]^2*
    ((91*S[-1, Infinity]^4)/960 + (29*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/180 - 
     (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (7*S[-1, Infinity]^2*S[3, Infinity])/96 + (25*S[5, Infinity])/192 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     S[-1, 1, 1, 1, 1, Infinity]/6) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-167*S[-1, Infinity]^5)/1440 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (499*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/24) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      5*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/144 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-11*S[-5, -1, Infinity] + 
       6*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/126 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/12 + 
     (57*S[2, Infinity]*S[5, Infinity])/64 - (155*S[7, Infinity])/256 + 
     S[3, Infinity]*((29*S[-1, Infinity]^4)/288 - 
       (79*S[-1, Infinity]^2*S[2, Infinity])/96 - (181*S[2, Infinity]^2)/
        480 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/12 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, 1, Infinity] + (S[-5, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
     5*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (704*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] + 64*S[-1, 1, 1, 1, Infinity]^2 - 
     640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/128, 
 S[1, 1, 1, 1, 2, -1, -1, Infinity] -> S[-1, Infinity]^8/96 + 
   (1079*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3629*S[2, Infinity]^4)/7000 + ((85*S[-1, Infinity]^2)/384 + 
     (11*S[2, Infinity])/192)*S[3, Infinity]^2 + 
   ((3*S[-1, Infinity]*S[2, Infinity])/2 + (1787*S[3, Infinity])/512)*
    S[5, Infinity] + S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/64 - 
     (7*S[-1, 1, 1, 1, Infinity])/8) + S[1, Infinity]^4*
    (S[-1, Infinity]^4/576 + (5*S[-1, Infinity]^2*S[2, Infinity])/96 + 
     S[2, Infinity]^2/960 - S[-1, 1, 1, 1, Infinity]/24) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/180 + 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((7*S[-1, Infinity]^2)/48 + (7*S[2, Infinity])/48)*S[3, Infinity] + 
     (27*S[5, Infinity])/128 + (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/144 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/144 + 
     (107*S[-1, Infinity]*S[2, Infinity]^2)/192 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 - S[-5, -1, Infinity]/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/36 + 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (59*S[2, Infinity]^3)/224 + 
     ((-7*S[-1, Infinity]^3)/24 - (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (11*S[3, Infinity]^2)/128 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^4)/32 - S[-1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      10*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/420 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (2267*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (551*S[2, Infinity]*S[5, Infinity])/128 - (8415*S[7, Infinity])/1024 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/4 + S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*((71*S[-1, Infinity]^4)/576 + 
       (187*S[-1, Infinity]^2*S[2, Infinity])/96 + (587*S[2, Infinity]^2)/
        240 + (55*S[-1, 1, 1, 1, Infinity])/24) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/240 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
       24*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-8000*S[-7, -1, Infinity] + 1207*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2 + 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[1, 1, 1, 1, 2, -1, 1, Infinity] -> 
  (103*S[-1, Infinity]^8)/8064 + (1223*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1251269*S[2, Infinity]^4)/784000 + 
   ((6583*S[-1, Infinity]^2)/2688 + (307*S[2, Infinity])/1344)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (323*S[-1, Infinity]*S[2, Infinity])/448 + (8621*S[3, Infinity])/1792)*
    S[5, Infinity] - (23081*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[1, Infinity]^4*(S[-1, Infinity]^4/144 - 
     (S[-1, Infinity]^2*S[2, Infinity])/96 - S[2, Infinity]^2/12 - 
     (7*S[-1, Infinity]*S[3, Infinity])/64 - S[-1, 1, 1, 1, Infinity]/6) + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/672 + 
     (6*S[-1, 1, 1, 1, Infinity])/7) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/48 + 
     (S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     ((35*S[-1, Infinity]^2)/96 - (7*S[2, Infinity])/48)*S[3, Infinity] + 
     (29*S[5, Infinity])/64 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-1739*S[-1, Infinity]^5)/6720 + 
     (169*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2313*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^2*
    ((67*S[-1, Infinity]^6)/1440 + (13*S[-1, Infinity]^2*S[2, Infinity]^2)/
      40 - (51*S[2, Infinity]^3)/70 + ((-49*S[-1, Infinity]^3)/96 - 
       (7*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (73*S[3, Infinity]^2)/128 - (93*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/24 - S[-1, 1, 1, 1, Infinity]/
        4) - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-11*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (11*S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/1440 + 
     (-103*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/840 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/6 + 
     (1907*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (333*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((31*S[-1, Infinity]^2)/32 + (2635*S[2, Infinity])/896)*S[5, Infinity] - 
     (12743*S[7, Infinity])/7168 + S[3, Infinity]*
      ((115*S[-1, Infinity]^4)/288 + (23*S[-1, Infinity]^2*S[2, Infinity])/
        48 - (953*S[2, Infinity]^2)/840 - (41*S[-1, 1, 1, 1, Infinity])/24) + 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/80 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/28 + (-8*S[-5, 1, 1, Infinity] - 
       15*S[5, -1, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) - (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 
      20*S[5, -1, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (2400*S[-7, -1, Infinity] + 619*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 8640*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, 1, 2, 1, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/8064 - (429*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (601*S[2, Infinity]^4)/140 + (7*S[-1, Infinity]^2*S[3, Infinity]^2)/
    48 - 2*S[3, Infinity]*S[5, Infinity] + S[2, Infinity]^2*
    ((-13*S[-1, Infinity]^4)/960 - (27*S[-1, 1, 1, 1, Infinity])/40) + 
   S[1, Infinity]^4*(S[-1, Infinity]^4/192 - 
     (S[-1, Infinity]^2*S[2, Infinity])/16 - S[2, Infinity]^2/20 - 
     (7*S[-1, Infinity]*S[3, Infinity])/192 - S[-1, 1, 1, 1, Infinity]/8) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/960 + 
     (S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (319*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/80 + (S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (2*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     (7*S[-1, Infinity]^2*S[3, Infinity])/96 - S[5, Infinity] + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/1440 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*((19*S[-1, Infinity]^6)/1440 - 
     (23*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (101*S[2, Infinity]^3)/70 + 
     ((-7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^4/96 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) - 5*S[-1, Infinity]^2*
    S[-1, 1, 1, 1, 1, 1, Infinity] + S[1, Infinity]*
    ((-17*S[-1, Infinity]^7)/2520 + (S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (122*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/24 - 3*S[2, Infinity]*
      S[5, Infinity] - 15*S[7, Infinity] + S[3, Infinity]*
      ((5*S[-1, Infinity]^4)/64 - (9*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (2*S[2, Infinity]^2)/5 - S[-1, 1, 1, 1, Infinity]) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, 1, Infinity] - 15*S[-1, 1, 1, 1, 1, 1, 1, 
       Infinity]) + 15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] - 
   21*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 2, 1, 1, Infinity] -> (S[1, Infinity]^4*S[2, Infinity]^2)/20 + 
   (101*S[1, Infinity]^2*S[2, Infinity]^3)/70 + (601*S[2, Infinity]^4)/140 - 
   S[1, Infinity]^3*S[5, Infinity] - 2*S[3, Infinity]*S[5, Infinity] + 
   S[1, Infinity]*((2*S[2, Infinity]^2*S[3, Infinity])/5 - 
     3*S[2, Infinity]*S[5, Infinity] - 15*S[7, Infinity]), 
 S[1, -1, -1, -1, -1, -2, -1, Infinity] -> (-43*S[-1, Infinity]^8)/2688 - 
   (2119*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (4179509*S[2, Infinity]^4)/392000 + 
   ((-415*S[-1, Infinity]^2)/112 - (1511*S[2, Infinity])/112)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/24 + 
     (4129*S[-1, Infinity]*S[2, Infinity])/224 + (40853*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((99*S[-1, Infinity]^4)/2240 - 
     (1111*S[-1, 1, 1, 1, Infinity])/140) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((401*S[-1, Infinity]^5)/1680 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (3121*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (341*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/288 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-1207*S[-5, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-331*S[-5, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((43*S[-1, Infinity]^7)/5040 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (235*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (107*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((-1635*S[-1, Infinity]^2)/128 - (2677*S[2, Infinity])/128)*
      S[5, Infinity] + (5179*S[7, Infinity])/64 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/96 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 - (369*S[2, Infinity]^2)/160 + 
       S[-1, 1, 1, 1, Infinity]) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/120 - 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(9*S[-5, -1, Infinity] + 
        64*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-25*S[-5, 1, 1, Infinity] + 28*S[5, -1, -1, Infinity] + 
       164*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (1140480*S[-7, -1, Infinity] + 157723*S[5, 3, Infinity] + 
     63360*S[-5, -1, -1, -1, Infinity] + 140480*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 743680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, -1, -1, -2, 1, Infinity] -> 
  (-373*S[-1, Infinity]^8)/20160 + (2013*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1390989*S[2, Infinity]^4)/392000 + 
   ((-1027*S[-1, Infinity]^2)/448 - (3575*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-845*S[-1, Infinity]^3)/192 + 
     (4439*S[-1, Infinity]*S[2, Infinity])/112 + (2997*S[3, Infinity])/1792)*
    S[5, Infinity] + (133743*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((2663*S[-1, Infinity]^4)/6720 - 
     (1083*S[-1, 1, 1, 1, Infinity])/140) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((129*S[-1, Infinity]^5)/560 + 
     (311*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (27639*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (355*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(207*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-703*S[-5, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(10*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/1008 - 
     (101*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (197*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (449*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-1077*S[-1, Infinity]^2)/128 - (11107*S[2, Infinity])/896)*
      S[5, Infinity] + (156281*S[7, Infinity])/3584 - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/96 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (69*S[2, Infinity]^2)/280 + 
       S[-1, 1, 1, 1, Infinity]) + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/240 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] + S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(3*S[-5, -1, Infinity] + 
        448*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-115*S[-5, 1, 1, Infinity] + 130*S[5, -1, -1, Infinity] + 
       812*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*(-473120*S[-7, -1, Infinity] - 63891*S[5, 3, Infinity] - 
      48000*S[-5, -1, -1, -1, Infinity] - 43840*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 + 232960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[1, -1, -1, -1, -1, 2, -1, Infinity] -> 
  (67*S[-1, Infinity]^8)/4480 + (2937*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (31377*S[2, Infinity]^4)/4000 + 
   ((1369*S[-1, Infinity]^2)/896 - (103*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((209*S[-1, Infinity]^3)/192 + 
     (12191*S[-1, Infinity]*S[2, Infinity])/448 + (249*S[3, Infinity])/128)*
    S[5, Infinity] + (18735*S[-1, Infinity]*S[7, Infinity])/3584 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/16 + (63*S[-1, 1, 1, 1, Infinity])/
      10) + S[3, Infinity]*((-11*S[-1, Infinity]^5)/40 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (3681*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/144 + (63*S[-5, -1, Infinity])/4 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-171*S[-5, -1, Infinity] - 
      364*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/5040 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1513*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (203*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((63*S[-1, Infinity]^2)/16 + (131*S[2, Infinity])/16)*S[5, Infinity] - 
     (793*S[7, Infinity])/16 + S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (129*S[2, Infinity]^2)/160 - 
       S[-1, 1, 1, 1, Infinity]) + (2*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        52*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     4*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(-2200*S[-7, -1, Infinity] + 167*S[5, 3, Infinity] + 
      640*S[-5, -1, -1, -1, Infinity] - 800*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2 + 4800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/320, S[1, -1, -1, -1, -1, 2, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1344 + (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (410859*S[2, Infinity]^4)/98000 + ((-487*S[-1, Infinity]^2)/896 + 
     (683*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((61*S[-1, Infinity]^3)/24 + (139*S[-1, Infinity]*S[2, Infinity])/112 - 
     (2841*S[3, Infinity])/896)*S[5, Infinity] - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((131*S[-1, Infinity]^4)/1680 + 
     (99*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/70 - (113*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (51*S[-1, Infinity]*S[2, Infinity]^2)/56 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (65*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-25*S[-1, Infinity]^6)/288 + (291*S[-5, -1, Infinity])/
      14 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(157*S[-5, -1, Infinity] - 
      364*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-41*S[-1, Infinity]^7)/5040 + 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (167*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (61*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((159*S[-1, Infinity]^2)/64 + (4869*S[2, Infinity])/448)*
      S[5, Infinity] - (158897*S[7, Infinity])/3584 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-19*S[-1, Infinity]^4)/96 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/16 + (1749*S[2, Infinity]^2)/
        560 + 5*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/80 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(89*S[-5, -1, Infinity] - 
        364*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] - 
       308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-200160*S[-7, -1, Infinity] - 22261*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 36480*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 170240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, -1, -1, 1, -2, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/20160 + (2689*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (4148439*S[2, Infinity]^4)/392000 + 
   ((-1327*S[-1, Infinity]^2)/896 - (11563*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((89*S[-1, Infinity]^3)/96 + 
     (21255*S[-1, Infinity]*S[2, Infinity])/448 - (102079*S[3, Infinity])/
      7168)*S[5, Infinity] + (116759*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((169*S[-1, Infinity]^4)/560 + 
     (179*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((977*S[-1, Infinity]^5)/6720 + (547*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (15611*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1047*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/160 + (1467*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(-97*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/5040 - 
     (93*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (1117*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (5493*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((63*S[-1, Infinity]^2)/16 - (551*S[2, Infinity])/448)*S[5, Infinity] - 
     (3119*S[7, Infinity])/112 + S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (155*S[-1, Infinity]^2*S[2, Infinity])/32 - (779*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((41*S[-1, Infinity]^5)/240 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-71*S[-5, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (197*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
       868*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(47*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-539200*S[-7, -1, Infinity] + 142623*S[5, 3, Infinity] + 
     413440*S[-5, -1, -1, -1, Infinity] - 458240*S[-5, -1, 1, 1, Infinity] + 
     1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, -1, 1, -2, 1, Infinity] -> (23*S[-1, Infinity]^8)/2016 + 
   (1023*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1020063*S[2, Infinity]^4)/156800 + 
   ((-1077*S[-1, Infinity]^2)/448 + (1391*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((457*S[-1, Infinity]^3)/192 + 
     (11743*S[-1, Infinity]*S[2, Infinity])/896 - (13143*S[3, Infinity])/
      7168)*S[5, Infinity] - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    4 + S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/672 + 
     (419*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((797*S[-1, Infinity]^5)/6720 - (23*S[-1, Infinity]^3*S[2, Infinity])/
      28 + (4321*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (657*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/288 + (1581*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/240 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (225*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (3613*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((159*S[-1, Infinity]^2)/64 - (337*S[2, Infinity])/448)*S[5, Infinity] - 
     (82857*S[7, Infinity])/7168 + S[3, Infinity]*(S[-1, Infinity]^4/192 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 - (2593*S[2, Infinity]^2)/
        1120 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/80 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (6*S[-1, Infinity]*(S[-5, -1, Infinity] + 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (150*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
       588*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-295488*S[-7, -1, Infinity] - 15745*S[5, 3, Infinity] + 
     22784*S[-5, -1, -1, -1, Infinity] - 85504*S[-5, -1, 1, 1, Infinity] + 
     32256*S[-1, 1, 1, 1, Infinity]^2 + 265216*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, -1, -1, 1, 2, -1, Infinity] -> 
  (107*S[-1, Infinity]^8)/4032 - (1047*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1775587*S[2, Infinity]^4)/196000 + 
   ((723*S[-1, Infinity]^2)/448 - (36*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((151*S[-1, Infinity]^3)/96 - (2785*S[-1, Infinity]*S[2, Infinity])/896 + 
     (130269*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((-561*S[-1, Infinity]^4)/1120 + 
     (41*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-719*S[-1, Infinity]^5)/1120 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (44897*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (995*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/360 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-683*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-47*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-97*S[-1, Infinity]^7)/5040 + 
     (131*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (4023*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (2013*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-1635*S[-1, Infinity]^2)/128 - (9089*S[2, Infinity])/896)*
      S[5, Infinity] + (290657*S[7, Infinity])/7168 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 + 
       (85*S[-1, Infinity]^2*S[2, Infinity])/16 + (1979*S[2, Infinity]^2)/
        2240 + (9*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-47*S[-1, Infinity]^5)/240 + 6*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(47*S[-5, -1, Infinity] + 
        63*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-230*S[-5, 1, 1, Infinity] + 71*S[5, -1, -1, Infinity] + 
       952*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3915200*S[-7, -1, Infinity] + 342847*S[5, 3, Infinity] + 
     39680*S[-5, -1, -1, -1, Infinity] + 686080*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 2723840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, -1, 1, 2, 1, Infinity] -> 
  (3*S[-1, Infinity]^8)/140 + (1081*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (4699143*S[2, Infinity]^4)/784000 + 
   ((5043*S[-1, Infinity]^2)/896 - (7001*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-535*S[-1, Infinity]^3)/192 + 
     (3625*S[-1, Infinity]*S[2, Infinity])/112 + (217321*S[3, Infinity])/
      7168)*S[5, Infinity] + (125631*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/420 + 
     (139*S[-1, 1, 1, 1, Infinity])/280) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2101*S[-1, Infinity]^5)/3360 + 
     (801*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (93871*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (939*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-9*S[-1, Infinity]^6)/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(439*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-317*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1008 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (207*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (783*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-1077*S[-1, Infinity]^2)/128 - (4775*S[2, Infinity])/896)*
      S[5, Infinity] + (82513*S[7, Infinity])/3584 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 + S[-1, Infinity]^2*
        S[2, Infinity] - (551*S[2, Infinity]^2)/1120 + 
       (9*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/240 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(65*S[-5, -1, Infinity] + 
        252*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-107*S[-5, 1, 1, Infinity] + 68*S[5, -1, -1, Infinity] + 
       616*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5106880*S[-7, -1, Infinity] + 799947*S[5, 3, Infinity] + 
     416000*S[-5, -1, -1, -1, Infinity] + 596480*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 2544640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 1, -1, -2, -1, Infinity] -> 
  (-817*S[-1, Infinity]^8)/40320 + (1999*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (123531*S[2, Infinity]^4)/56000 + 
   ((-811*S[-1, Infinity]^2)/896 - (195*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-163*S[-1, Infinity]^3)/192 + 
     (14289*S[-1, Infinity]*S[2, Infinity])/896 + (1213*S[3, Infinity])/256)*
    S[5, Infinity] + (62277*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/5 - (3*S[-1, 1, 1, 1, Infinity])/
      5) + S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/320 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (10177*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/360 - (21*S[-5, -1, Infinity])/2 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-251*S[-5, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((59*S[-1, Infinity]^7)/5040 - 
     (79*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (535*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (1285*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-29*S[-1, Infinity]^2)/32 - (6553*S[2, Infinity])/448)*
      S[5, Infinity] + (228657*S[7, Infinity])/7168 + 
     S[3, Infinity]*((17*S[-1, Infinity]^4)/64 - 
       (103*S[-1, Infinity]^2*S[2, Infinity])/32 - (619*S[2, Infinity]^2)/
        140 - 7*S[-1, 1, 1, 1, Infinity]) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]*(25*S[-5, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (3*(15*S[-5, 1, 1, Infinity] + 57*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-14880*S[-7, -1, Infinity] - 3081*S[5, 3, Infinity] - 
      2560*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
      2560*S[-1, 1, 1, 1, Infinity]^2 - 3840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1280, S[1, -1, -1, 1, -1, -2, 1, Infinity] -> 
  (-73*S[-1, Infinity]^8)/4032 - (11*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (96529*S[2, Infinity]^4)/156800 + 
   ((121*S[-1, Infinity]^2)/224 + (115*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-221*S[-1, Infinity]^3)/96 - 
     (2603*S[-1, Infinity]*S[2, Infinity])/448 - (4097*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((-269*S[-1, Infinity]^4)/1680 - 
     (16*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*((563*S[-1, Infinity]^5)/6720 - 
     (53*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (429*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (423*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((139*S[-1, Infinity]^6)/1440 - (149*S[-5, -1, Infinity])/
      28 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-83*S[-5, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((7*S[-1, Infinity]^7)/720 - 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (25*S[-1, Infinity]*S[2, Infinity]^3)/56 - 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((35*S[-1, Infinity]^2)/64 - (725*S[2, Infinity])/64)*S[5, Infinity] + 
     (20781*S[7, Infinity])/512 + 2*S[-5, 1, 1, Infinity] + 
     5*S[5, -1, -1, Infinity] + S[3, Infinity]*((17*S[-1, Infinity]^4)/64 - 
       (61*S[-1, Infinity]^2*S[2, Infinity])/32 - (1537*S[2, Infinity]^2)/
        320 - 7*S[-1, 1, 1, 1, Infinity]) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-23*S[-5, -1, Infinity] + 
        36*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (12736*S[-7, -1, Infinity] + 523*S[5, 3, Infinity] - 
     1408*S[-5, -1, -1, -1, Infinity] + 4096*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 3584*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[1, -1, -1, 1, -1, 2, -1, Infinity] -> 
  (227*S[-1, Infinity]^8)/8064 + (23*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (645861*S[2, Infinity]^4)/98000 + 
   ((649*S[-1, Infinity]^2)/448 - (7915*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-287*S[-1, Infinity]^3)/192 + 
     (5227*S[-1, Infinity]*S[2, Infinity])/224 + (59823*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((2099*S[-1, Infinity]^4)/6720 - 
     (83*S[-1, 1, 1, 1, Infinity])/35) - S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1063*S[-1, Infinity]^5)/3360 + 
     (93*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (56043*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (741*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-211*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-162*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-113*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-107*S[-1, Infinity]^7)/5040 + 
     (133*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1829*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (3427*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1201*S[-1, Infinity]^2)/128 - (7915*S[2, Infinity])/896)*
      S[5, Infinity] + (122205*S[7, Infinity])/3584 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/64 + 
       (121*S[-1, Infinity]^2*S[2, Infinity])/32 + (1061*S[2, Infinity]^2)/
        448 + 7*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*(11*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (3*(39*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (3938240*S[-7, -1, Infinity] + 532027*S[5, 3, Infinity] + 
     282880*S[-5, -1, -1, -1, Infinity] + 424960*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 2544640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 1, -1, 2, 1, Infinity] -> 
  (517*S[-1, Infinity]^8)/20160 + (4993*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (4285641*S[2, Infinity]^4)/784000 + 
   ((4031*S[-1, Infinity]^2)/896 - (15189*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-283*S[-1, Infinity]^3)/96 + 
     (44539*S[-1, Infinity]*S[2, Infinity])/896 + (262427*S[3, Infinity])/
      7168)*S[5, Infinity] - (57297*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1109*S[-1, Infinity]^4)/6720 + 
     (57*S[-1, 1, 1, 1, Infinity])/70) - S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-701*S[-1, Infinity]^5)/1120 + 
     (2407*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (106297*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (941*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-97*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (3*(379*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(66*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/1008 + 
     (49*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (241*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-1015*S[-1, Infinity]^2)/128 - (2473*S[2, Infinity])/128)*
      S[5, Infinity] + (43101*S[7, Infinity])/1024 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/64 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/32 - (41*S[2, Infinity]^2)/20 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/48 + 
       2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
     (3*(7*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity] - 
        24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (3*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(1594560*S[-7, -1, Infinity] + 273813*S[5, 3, Infinity] + 
      165120*S[-5, -1, -1, -1, Infinity] + 166400*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 - 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, -1, -1, 1, 1, -2, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/4032 + (217*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (5006*S[2, Infinity]^4)/875 + 
   ((-151*S[-1, Infinity]^2)/128 - (2937*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((9*S[-1, Infinity]^3)/32 + 
     (2187*S[-1, Infinity]*S[2, Infinity])/64 + (4861*S[3, Infinity])/1024)*
    S[5, Infinity] + S[2, Infinity]^2*((37*S[-1, Infinity]^4)/120 - 
     (51*S[-1, 1, 1, 1, Infinity])/40) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/80 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (7419*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-169*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-67*S[-5, -1, Infinity] + 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/720 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (317*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (333*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-1201*S[-1, Infinity]^2)/128 - (2535*S[2, Infinity])/128)*
      S[5, Infinity] + (37265*S[7, Infinity])/512 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (31*S[-1, Infinity]^2*S[2, Infinity])/32 - (1171*S[2, Infinity]^2)/
        320 - (19*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/240 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] + 
        22*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (-11*S[-5, 1, 1, Infinity] + 26*S[5, -1, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (489280*S[-7, -1, Infinity] + 80597*S[5, 3, Infinity] + 
     57600*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2 - 389120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, -1, 1, 1, -2, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/10080 + (2651*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (15717*S[2, Infinity]^4)/6125 + 
   ((-1661*S[-1, Infinity]^2)/896 - (30319*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-75*S[-1, Infinity]^3)/64 + 
     (10135*S[-1, Infinity]*S[2, Infinity])/224 + (71795*S[3, Infinity])/
      7168)*S[5, Infinity] + (53251*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((181*S[-1, Infinity]^4)/672 - 
     (823*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/1680 + 
     (10*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (70893*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (261*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(523*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-625*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(S[-1, Infinity]^7/1008 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (2251*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-1015*S[-1, Infinity]^2)/128 - (13075*S[2, Infinity])/896)*
      S[5, Infinity] + (154353*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/64 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (845*S[2, Infinity]^2)/
        448 - (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-4*S[-5, -1, Infinity] + 
        77*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-75*S[-5, 1, 1, Infinity] + 142*S[5, -1, -1, Infinity] + 
       644*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (4678080*S[-7, -1, Infinity] + 797899*S[5, 3, Infinity] + 
     597760*S[-5, -1, -1, -1, Infinity] + 298240*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 2544640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 1, 1, 2, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/20160 - (167*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (378369*S[2, Infinity]^4)/392000 + 
   ((-237*S[-1, Infinity]^2)/112 - (717*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/192 - 
     (2673*S[-1, Infinity]*S[2, Infinity])/448 + (8187*S[3, Infinity])/896)*
    S[5, Infinity] + (45273*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-117*S[-1, Infinity]^4)/560 - 
     (363*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((111*S[-1, Infinity]^5)/1120 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1103*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (159*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/1440 - (549*S[-5, -1, Infinity])/
      28 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(85*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/5040 + 
     (71*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (179*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (975*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-29*S[-1, Infinity]^2)/32 + (1649*S[2, Infinity])/224)*
      S[5, Infinity] - (34521*S[7, Infinity])/1792 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-3*S[-1, Infinity]^4)/16 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/8 + (437*S[2, Infinity]^2)/140 + 
       (13*S[-1, 1, 1, 1, Infinity])/2) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(73*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, -1, -1, 1, 1, 2, 1, Infinity] -> -S[-1, Infinity]^8/1008 - 
   (227*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (380803*S[2, Infinity]^4)/196000 + 
   ((101*S[-1, Infinity]^2)/56 + (1927*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-4*S[-1, Infinity]^3)/3 - 
     (155*S[-1, Infinity]*S[2, Infinity])/7 - (13933*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/1120 - 
     (89*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/1680 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (8319*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 - (94*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(125*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/5040 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (331*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (295*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((35*S[-1, Infinity]^2)/64 + (2097*S[2, Infinity])/448)*S[5, Infinity] - 
     (23769*S[7, Infinity])/3584 + S[3, Infinity]*((7*S[-1, Infinity]^4)/96 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 + (731*S[2, Infinity]^2)/280 + 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(5*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-23360*S[-7, -1, Infinity] - 65433*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 1, -1, -1, -2, -1, Infinity] -> 
  (-367*S[-1, Infinity]^8)/20160 + (1627*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (3568367*S[2, Infinity]^4)/784000 + 
   ((10505*S[-1, Infinity]^2)/1792 + (2521*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-4945*S[-1, Infinity]^3)/384 - 
     (27183*S[-1, Infinity]*S[2, Infinity])/896 + (155899*S[3, Infinity])/
      7168)*S[5, Infinity] + (14377*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((521*S[-1, Infinity]^4)/1680 - 
     (8*S[-1, 1, 1, 1, Infinity])/7) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((151*S[-1, Infinity]^5)/6720 - 
     (1271*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3841*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (787*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 - (843*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(89*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((113*S[-1, Infinity]^7)/5040 + 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/140 - 
     (11*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((1031*S[-1, Infinity]^2)/128 + (5407*S[2, Infinity])/896)*
      S[5, Infinity] - (8601*S[7, Infinity])/448 - 
     (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/96 + 
       (83*S[-1, Infinity]^2*S[2, Infinity])/16 + (2563*S[2, Infinity]^2)/
        1120 + S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      ((-53*S[-1, Infinity]^5)/240 + 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(11*S[-5, -1, Infinity] - 
        35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (3*(13*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity] - 
      40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (173120*S[-7, -1, Infinity] - 12147*S[5, 3, Infinity] - 
     124160*S[-5, -1, -1, -1, Infinity] + 240640*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, -1, -2, 1, Infinity] -> (-481*S[-1, Infinity]^8)/20160 + 
   (51*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - (675897*S[2, Infinity]^4)/
    156800 + ((3931*S[-1, Infinity]^2)/1792 - (709*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-845*S[-1, Infinity]^3)/192 - 
     (9397*S[-1, Infinity]*S[2, Infinity])/896 + (27177*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-169*S[-1, Infinity]^4)/672 - 
     (351*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((419*S[-1, Infinity]^5)/6720 - 
     (79*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (16251*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (309*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/72 - (1079*S[-5, -1, Infinity])/
      56 - (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]^2*(53*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((103*S[-1, Infinity]^7)/5040 + 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (23*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (341*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-27*S[-1, Infinity]^2)/64 - (107*S[2, Infinity])/448)*S[5, Infinity] + 
     (31831*S[7, Infinity])/3584 + S[3, Infinity]*
      ((-7*S[-1, Infinity]^4)/48 + (7*S[-1, Infinity]^2*S[2, Infinity])/8 + 
       (131*S[2, Infinity]^2)/112 + S[-1, 1, 1, 1, Infinity]/4) - 
     (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^5)/48 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]*(11*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-155*S[-5, 1, 1, Infinity] + 48*S[5, -1, -1, Infinity] + 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (152512*S[-7, -1, Infinity] + 19115*S[5, 3, Infinity] - 
     13056*S[-5, -1, -1, -1, Infinity] + 57856*S[-5, -1, 1, 1, Infinity] - 
     32256*S[-1, 1, 1, 1, Infinity]^2 - 78848*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, 1, -1, -1, 2, -1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/40320 - (253*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (2434*S[2, Infinity]^4)/1225 + 
   ((-137*S[-1, Infinity]^2)/896 - (2309*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-349*S[-1, Infinity]^3)/192 + 
     (9509*S[-1, Infinity]*S[2, Infinity])/448 - (27037*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-527*S[-1, Infinity]^4)/1680 - 
     (27*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    ((113*S[-1, Infinity]^5)/3360 + (191*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (12513*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (141*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (25*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-109*S[-5, -1, Infinity] - 
      420*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1008 - 
     (61*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (71*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (1213*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((35*S[-1, Infinity]^2)/64 - (235*S[2, Infinity])/56)*S[5, Infinity] + 
     (47457*S[7, Infinity])/3584 + S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (37*S[-1, Infinity]^2*S[2, Infinity])/8 - (3127*S[2, Infinity]^2)/
        1120 - (7*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/48 - 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]*(9*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (3*(25*S[-5, 1, 1, Infinity] + 46*S[5, -1, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (90752*S[-7, -1, Infinity] + 25825*S[5, 3, Infinity] + 
     27392*S[-5, -1, -1, -1, Infinity] - 5888*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2 - 14336*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, -1, 1, -1, -1, 2, 1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/4480 - (59*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (4051*S[2, Infinity]^4)/14000 + ((733*S[-1, Infinity]^2)/896 - 
     (361*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-3209*S[-1, Infinity]^3)/384 + (341*S[-1, Infinity]*S[2, Infinity])/
      448 + (4939*S[3, Infinity])/512)*S[5, Infinity] + 
   (24273*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/160 + S[-1, 1, 1, 1, Infinity]/
      8) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/480 - 
     (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (2431*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-79*S[-5, -1, Infinity] - 
      420*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/720 + 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (139*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (1513*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((907*S[-1, Infinity]^2)/128 + (1067*S[2, Infinity])/896)*
      S[5, Infinity] - (49635*S[7, Infinity])/3584 + 
     S[3, Infinity]*(S[-1, Infinity]^4/12 - 
       (S[-1, Infinity]^2*S[2, Infinity])/2 - (397*S[2, Infinity]^2)/280 - 
       (7*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]*(-23*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(15*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        98*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 58*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (24320*S[-7, -1, Infinity] + 12969*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, -1, 1, -1, 1, -2, -1, Infinity] -> (-17*S[-1, Infinity]^8)/13440 - 
   (1301*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (175319*S[2, Infinity]^4)/156800 + 
   ((-1215*S[-1, Infinity]^2)/896 - (2719*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((85*S[-1, Infinity]^3)/192 - 
     (1733*S[-1, Infinity]*S[2, Infinity])/448 + (1261*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((-4481*S[-1, Infinity]^4)/6720 - 
     (13*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/105 - (5*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (947*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/18 - 5*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-97*S[-5, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(185*S[-5, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/336 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/10 + 
     (201*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     ((-5*S[-1, Infinity]^4)/192 - (S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (227*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (647*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((35*S[-1, Infinity]^2)/64 + (3671*S[2, Infinity])/448)*S[5, Infinity] - 
     (45419*S[7, Infinity])/3584 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-3*S[-1, Infinity]^5)/40 + 5*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(25*S[-5, -1, Infinity] - 
        77*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (19*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (4624*S[-7, -1, Infinity] + 905*S[5, 3, Infinity] + 
     288*S[-5, -1, -1, -1, Infinity] + 832*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[1, -1, 1, -1, 1, -2, 1, Infinity] -> (-19*S[-1, Infinity]^8)/5040 - 
   (43*S[-1, Infinity]^4*S[2, Infinity]^2)/320 - 
   (519*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (9*S[2, Infinity]^4)/1120 + ((993*S[-1, Infinity]^2)/448 + 
     (123*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-2341*S[-1, Infinity]^3)/384 - (5609*S[-1, Infinity]*S[2, Infinity])/
      448 + (15*S[3, Infinity])/128)*S[5, Infinity] + 
   (191013*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[3, Infinity]*(S[-1, Infinity]^5/40 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (2287*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/1440 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(47*S[-5, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((3*S[-1, Infinity]^7)/560 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (81*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-5*S[-1, Infinity]^4)/192 + (5*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (571*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (2473*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((907*S[-1, Infinity]^2)/128 + (12757*S[2, Infinity])/896)*
      S[5, Infinity] - (281851*S[7, Infinity])/7168 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/80 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (11*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (97*S[-5, 1, 1, Infinity] - 127*S[5, -1, -1, Infinity] - 
       560*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[1, -1, 1, -1, 1, 2, -1, Infinity] -> (-29*S[-1, Infinity]^8)/6720 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (2382*S[2, Infinity]^4)/6125 + 
   ((5233*S[-1, Infinity]^2)/1792 + (3435*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-3395*S[-1, Infinity]^3)/384 - 
     (11513*S[-1, Infinity]*S[2, Infinity])/448 - (26751*S[3, Infinity])/
      7168)*S[5, Infinity] + (49225*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((3649*S[-1, Infinity]^4)/3360 - 
     (123*S[-1, 1, 1, 1, Infinity])/35) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/112 - 
     (173*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (26331*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-59*S[-1, Infinity]^6)/720 + (27*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (4*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^7)/560 - 
     (49*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (529*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1747*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1031*S[-1, Infinity]^2)/128 + (12605*S[2, Infinity])/896)*
      S[5, Infinity] - (184931*S[7, Infinity])/7168 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (3599*S[2, Infinity]^2)/2240 + 
       (9*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      (S[-1, Infinity]^5/5 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-115*S[-5, -1, Infinity] + 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (80*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (3*(138560*S[-7, -1, Infinity] + 26937*S[5, 3, Infinity] + 
      21760*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, -1, 1, -1, 1, 2, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/13440 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (427843*S[2, Infinity]^4)/784000 + 
   ((717*S[-1, Infinity]^2)/1792 + (1927*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-35*S[-1, Infinity]^3)/96 - 
     (1331*S[-1, Infinity]*S[2, Infinity])/224 - (23593*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((481*S[-1, Infinity]^4)/3360 - 
     (17*S[-1, 1, 1, 1, Infinity])/35) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-131*S[-1, Infinity]^5)/1680 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (14339*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/1440 - (47*S[-5, -1, Infinity])/
      14 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-37*S[-1, Infinity]^7)/5040 - 
     (109*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/28 - 
     (627*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-27*S[-1, Infinity]^2)/64 - (513*S[2, Infinity])/112)*S[5, Infinity] + 
     (39911*S[7, Infinity])/1792 + S[3, Infinity]*
      ((31*S[-1, Infinity]^4)/96 - (31*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (41*S[2, Infinity]^2)/35 - (39*S[-1, 1, 1, 1, Infinity])/8) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((31*S[-1, Infinity]^5)/240 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-59*S[-5, -1, Infinity] + 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (6*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
       63*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-23360*S[-7, -1, Infinity] - 65433*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, -1, -2, -1, Infinity] -> 
  (-211*S[-1, Infinity]^8)/40320 - (78*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 - (1358611*S[2, Infinity]^4)/392000 + 
   ((-297*S[-1, Infinity]^2)/224 + (3849*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((111*S[-1, Infinity]^3)/64 - 
     (14983*S[-1, Infinity]*S[2, Infinity])/896 + (1963*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-1153*S[-1, Infinity]^4)/3360 - 
     (109*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/280 - 
     (225*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (24119*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/720 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (5*S[-1, Infinity]^2*(31*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/112 + 
     (8*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (1461*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (349*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((283*S[-1, Infinity]^2)/64 + (4443*S[2, Infinity])/448)*
      S[5, Infinity] - (181037*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/64 + 
       (81*S[-1, Infinity]^2*S[2, Infinity])/32 + (4117*S[2, Infinity]^2)/
        1120 + (17*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-29*S[-1, Infinity]^5)/240 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(113*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (20*S[-5, 1, 1, Infinity] - 183*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-411200*S[-7, -1, Infinity] - 206727*S[5, 3, Infinity] - 
     244480*S[-5, -1, -1, -1, Infinity] + 47360*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, -1, -2, 1, Infinity] -> 
  (-347*S[-1, Infinity]^8)/40320 - (1157*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (534987*S[2, Infinity]^4)/784000 + 
   ((-67*S[-1, Infinity]^2)/896 + (6815*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((253*S[-1, Infinity]^3)/128 - 
     (9643*S[-1, Infinity]*S[2, Infinity])/448 - (135749*S[3, Infinity])/
      7168)*S[5, Infinity] + (129177*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/280 + 
     (9*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((137*S[-1, Infinity]^5)/840 - 
     (725*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (28321*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(69*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/90 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (149*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/1680 + 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (157*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (171*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((535*S[-1, Infinity]^2)/128 + (16627*S[2, Infinity])/896)*
      S[5, Infinity] - (155107*S[7, Infinity])/3584 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-31*S[-1, Infinity]^4)/192 + 
       (31*S[-1, Infinity]^2*S[2, Infinity])/32 + (6929*S[2, Infinity]^2)/
        2240 + (13*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/80 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(87*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (23*S[-5, 1, 1, Infinity] - 75*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-781120*S[-7, -1, Infinity] - 279127*S[5, 3, Infinity] - 
     267520*S[-5, -1, -1, -1, Infinity] - 19200*S[-5, -1, 1, 1, Infinity] - 
     537600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 1, -1, 2, -1, Infinity] -> (233*S[-1, Infinity]^8)/20160 + 
   (491*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (3824357*S[2, Infinity]^4)/784000 + 
   ((3195*S[-1, Infinity]^2)/1792 + (6355*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((325*S[-1, Infinity]^3)/384 - 
     (1957*S[-1, Infinity]*S[2, Infinity])/896 - (125337*S[3, Infinity])/
      7168)*S[5, Infinity] + (97173*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((253*S[-1, Infinity]^4)/420 + 
     (129*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    ((-41*S[-1, Infinity]^6)/360 + (1193*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-15*S[-1, Infinity]^5)/112 + 
     (151*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (14143*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (467*S[-1, 1, 1, 1, 1, Infinity])/28) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(47*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/720 - 
     (97*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/10 - 
     (249*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((349*S[-1, Infinity]^2)/128 + (7929*S[2, Infinity])/896)*
      S[5, Infinity] - (89935*S[7, Infinity])/3584 + 
     S[3, Infinity]*((55*S[-1, Infinity]^4)/192 - 
       (97*S[-1, Infinity]^2*S[2, Infinity])/32 - (3219*S[2, Infinity]^2)/
        2240 - 4*S[-1, 1, 1, 1, Infinity]) + 
     (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((43*S[-1, Infinity]^5)/240 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-31*S[-5, -1, Infinity] - 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (143*S[-5, 1, 1, Infinity] - 46*S[5, -1, -1, Infinity] - 
       588*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1597760*S[-7, -1, Infinity] - 207373*S[5, 3, Infinity] - 
     55040*S[-5, -1, -1, -1, Infinity] - 294400*S[-5, -1, 1, 1, Infinity] + 
     1003520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 1, -1, 2, 1, Infinity] -> (47*S[-1, Infinity]^8)/2880 + 
   (101*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (681063*S[2, Infinity]^4)/196000 + 
   ((-1413*S[-1, Infinity]^2)/1792 + (3699*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((61*S[-1, Infinity]^3)/24 + 
     (585*S[-1, Infinity]*S[2, Infinity])/448 - (30143*S[3, Infinity])/7168)*
    S[5, Infinity] - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((307*S[-1, Infinity]^4)/1120 + 
     (83*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-253*S[-1, Infinity]^5)/3360 + (233*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (4523*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (209*S[-1, 1, 1, 1, 1, Infinity])/28) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((-2*S[-1, Infinity]^6)/15 + 
     (901*S[-5, -1, Infinity])/56 + (9*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(123*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-29*S[-1, Infinity]^7)/1680 - 
     (79*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (129*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (57*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((33*S[-1, Infinity]^2)/32 + (677*S[2, Infinity])/224)*S[5, Infinity] - 
     (82697*S[7, Infinity])/7168 + S[3, Infinity]*
      ((29*S[-1, Infinity]^4)/192 - (29*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (499*S[2, Infinity]^2)/1120 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((9*S[-1, Infinity]^5)/80 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(23*S[-5, -1, Infinity] - 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (89*S[-5, 1, 1, Infinity] - 51*S[5, -1, -1, Infinity] - 
       308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-1124800*S[-7, -1, Infinity] - 162483*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] - 227840*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 752640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, 1, -2, -1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/2240 + (893*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1062573*S[2, Infinity]^4)/392000 + 
   ((2073*S[-1, Infinity]^2)/1792 + (333*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-181*S[-1, Infinity]^3)/128 - 
     (5571*S[-1, Infinity]*S[2, Infinity])/896 - (10825*S[3, Infinity])/1792)*
    S[5, Infinity] + (47861*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((163*S[-1, Infinity]^4)/1120 + 
     (72*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((557*S[-1, Infinity]^5)/6720 - (27*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (7557*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (501*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + (683*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/5040 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (291*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (1041*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((349*S[-1, Infinity]^2)/128 + (6297*S[2, Infinity])/896)*
      S[5, Infinity] - (49225*S[7, Infinity])/1792 + 
     S[3, Infinity]*((-17*S[-1, Infinity]^4)/192 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/32 + (2721*S[2, Infinity]^2)/
        2240 + (5*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/20 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-15*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (29*S[-5, 1, 1, Infinity] - 62*S[5, -1, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-154480*S[-7, -1, Infinity] - 19973*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] - 20320*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2 + 103040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, 1, 1, 1, -2, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/13440 + (101*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (325177*S[2, Infinity]^4)/196000 + 
   ((-661*S[-1, Infinity]^2)/1792 + (1049*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((9*S[-1, Infinity]^3)/32 + 
     (149*S[-1, Infinity]*S[2, Infinity])/448 + (1559*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-81*S[-1, Infinity]^4)/1120 + 
     (24*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((95*S[-1, Infinity]^5)/1344 - 
     (391*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (139*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/1440 + (447*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(2*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/5040 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (6*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (17*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((33*S[-1, Infinity]^2)/32 + (125*S[2, Infinity])/32)*S[5, Infinity] - 
     (7227*S[7, Infinity])/512 + S[3, Infinity]*
      ((-25*S[-1, Infinity]^4)/192 + (25*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (303*S[2, Infinity]^2)/320 + (13*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/240 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/2 + (3*(-S[5, -1, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (-323200*S[-7, -1, Infinity] - 26031*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 56960*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 1, 1, 1, 2, -1, Infinity] -> 
  (43*S[-1, Infinity]^8)/13440 - (53*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (732251*S[2, Infinity]^4)/784000 + 
   ((1149*S[-1, Infinity]^2)/896 + (997*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-4*S[-1, Infinity]^3)/3 + 
     (8*S[-1, Infinity]*S[2, Infinity])/7 - (11421*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((-81*S[-1, Infinity]^4)/2240 + 
     (69*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-709*S[-1, Infinity]^5)/3360 + 
     (233*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2323*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/720 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (115*S[-5, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/336 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((283*S[-1, Infinity]^2)/64 - (123*S[2, Infinity])/64)*S[5, Infinity] - 
     (359*S[7, Infinity])/256 + S[3, Infinity]*((5*S[-1, Infinity]^4)/24 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (47*S[2, Infinity]^2)/40 - 
       3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/24 - 
       (9*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]*(S[-5, -1, Infinity] + 
        2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (5*S[-5, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (20000*S[-7, -1, Infinity] - 619*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 8640*S[-5, -1, 1, 1, Infinity] - 
     152320*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, -1, 1, 1, 1, 2, 1, Infinity] -> S[-1, Infinity]^8/1440 - 
   (263*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (629233*S[2, Infinity]^4)/784000 + 
   ((213*S[-1, Infinity]^2)/896 + (85*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-419*S[-1, Infinity]^3)/384 - (2577*S[-1, Infinity]*S[2, Infinity])/
      896 - (4203*S[3, Infinity])/896)*S[5, Infinity] + 
   (23081*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-193*S[-1, Infinity]^4)/6720 + 
     (13*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-73*S[-1, Infinity]^5)/3360 + (17*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (5113*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (151*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(33*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (365*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1680 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (149*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (S[-1, Infinity]^4/12 - (S[-1, Infinity]^2*S[2, Infinity])/2 - 
       (61*S[2, Infinity]^2)/112)*S[3, Infinity] - 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((535*S[-1, Infinity]^2)/128 + (151*S[2, Infinity])/896)*
      S[5, Infinity] - (28107*S[7, Infinity])/3584 + 
     S[2, Infinity]*(S[-1, Infinity]^5/80 + S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-43*S[-5, -1, Infinity] - 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
       308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-25400*S[-7, -1, Infinity] - 3103*S[5, 3, Infinity] - 
     2080*S[-5, -1, -1, -1, Infinity] - 5200*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[1, 1, -1, -1, -1, -2, -1, Infinity] -> (107*S[-1, Infinity]^8)/4480 - 
   (1027*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (695661*S[2, Infinity]^4)/78400 + ((3753*S[-1, Infinity]^2)/896 + 
     (7225*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-647*S[-1, Infinity]^3)/192 - (35999*S[-1, Infinity]*S[2, Infinity])/
      896 + (32139*S[3, Infinity])/3584)*S[5, Infinity] - 
   (16959*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/280 - 
     (66*S[-1, 1, 1, 1, Infinity])/35) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-163*S[-1, Infinity]^5)/672 - 
     (599*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (15037*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (269*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-101*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*((23*S[-1, Infinity]^6)/720 - 
     (39*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (249*S[2, Infinity]^3)/
      140 + ((-13*S[-1, Infinity]^3)/48 - S[-1, Infinity]*S[2, Infinity])*
      S[3, Infinity] - (9*S[3, Infinity]^2)/16 + 
     (101*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     2*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(323*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] - 82*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-41*S[-1, Infinity]^7)/840 + 
     (81*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (3677*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (63*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((27*S[-1, Infinity]^2)/64 + (2637*S[2, Infinity])/128)*S[5, Infinity] - 
     (10619*S[7, Infinity])/512 + (4*S[-1, Infinity]^3*
       S[-1, 1, 1, 1, Infinity])/3 + S[3, Infinity]*
      ((25*S[-1, Infinity]^4)/96 + (11*S[-1, Infinity]^2*S[2, Infinity])/2 + 
       (261*S[2, Infinity]^2)/80 + (7*S[-1, 1, 1, 1, Infinity])/2) + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - (5*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, 1, Infinity])/2 - S[-1, Infinity]*
      (8*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (-23*S[-5, 1, 1, Infinity] - 28*S[5, -1, -1, Infinity] + 
       88*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-105600*S[-7, -1, Infinity] - 30435*S[5, 3, Infinity] - 
     39168*S[-5, -1, -1, -1, Infinity] + 15872*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 68096*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[1, 1, -1, -1, -1, -2, 1, Infinity] -> 
  (121*S[-1, Infinity]^8)/6720 - (1073*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (498283*S[2, Infinity]^4)/196000 + 
   ((239*S[-1, Infinity]^2)/224 + (45*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((101*S[-1, Infinity]^3)/384 - (7741*S[-1, Infinity]*S[2, Infinity])/896 - 
     (667*S[3, Infinity])/224)*S[5, Infinity] + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/210 - 
     (64*S[-1, 1, 1, 1, Infinity])/35) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-473*S[-1, Infinity]^5)/1680 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (1537*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (100*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-67*S[-1, Infinity]^6)/1440 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-443*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((13*S[-1, Infinity]^6)/480 - 
     (49*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (65*S[2, Infinity]^3)/
      112 + ((-13*S[-1, Infinity]^3)/48 - (13*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] - (25*S[3, Infinity]^2)/16 + 
     (101*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^4)/32 - S[-1, 1, 1, 1, Infinity]) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (7*S[-5, -1, Infinity] - 36*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-191*S[-1, Infinity]^7)/5040 + 
     (33*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (229*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-411*S[-1, Infinity]^2)/128 + (5323*S[2, Infinity])/448)*
      S[5, Infinity] - (108251*S[7, Infinity])/3584 - 
     (46*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((25*S[-1, Infinity]^4)/96 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/2 + (2097*S[2, Infinity]^2)/280 + 
       (7*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((13*S[-1, Infinity]^5)/120 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - (5*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, 1, Infinity])/2 + (-92*S[-5, 1, 1, Infinity] - 
       57*S[5, -1, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (8240*S[-7, -1, Infinity] - 8067*S[5, 3, Infinity] - 
     7040*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 58240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[1, 1, -1, -1, -1, 2, -1, Infinity] -> 
  (-319*S[-1, Infinity]^8)/13440 + (341*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (199417*S[2, Infinity]^4)/24500 + 
   ((1055*S[-1, Infinity]^2)/896 + (2263*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-337*S[-1, Infinity]^3)/192 - 
     (9571*S[-1, Infinity]*S[2, Infinity])/448 - (45169*S[3, Infinity])/3584)*
    S[5, Infinity] + (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-137*S[-1, Infinity]^4)/448 + 
     (443*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((209*S[-1, Infinity]^5)/1120 - 
     (53*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (891*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (585*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*((-17*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (487*S[2, Infinity]^3)/280 + 
     (S[-1, Infinity]^3/48 + (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] + (243*S[3, Infinity]^2)/128 - 
     (61*S[-1, Infinity]*S[5, Infinity])/16 - 5*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]) - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     11*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(257*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((109*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (373*S[-5, -1, Infinity] + 161*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((3*S[-1, Infinity]^7)/70 - 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (1503*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (177*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((139*S[-1, Infinity]^2)/8 + (825*S[2, Infinity])/64)*S[5, Infinity] - 
     (14191*S[7, Infinity])/256 + (37*S[-1, Infinity]*S[-5, -1, Infinity])/
      4 + S[3, Infinity]*((11*S[-1, Infinity]^4)/96 - 
       4*S[-1, Infinity]^2*S[2, Infinity] - (113*S[2, Infinity]^2)/160 - 
       (7*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (37*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity] - 
       164*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-1650240*S[-7, -1, Infinity] - 213523*S[5, 3, Infinity] - 
     97280*S[-5, -1, -1, -1, Infinity] - 193920*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1093120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -1, -1, 2, 1, Infinity] -> 
  (-113*S[-1, Infinity]^8)/6720 - (201*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 + (1719757*S[2, Infinity]^4)/392000 + 
   ((9*S[-1, Infinity]^2)/128 + (6231*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-2255*S[-1, Infinity]^3)/384 - (859*S[-1, Infinity]*S[2, Infinity])/16 - 
     (49283*S[3, Infinity])/3584)*S[5, Infinity] + 
   (13481*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-2437*S[-1, Infinity]^4)/6720 + 
     (109*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1219*S[-1, Infinity]^5)/3360 - 
     (327*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (2941*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (757*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(45*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]^2*((-5*S[-1, Infinity]^6)/288 - 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (163*S[2, Infinity]^3)/
      280 + (S[-1, Infinity]^3/48 + (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (117*S[3, Infinity]^2)/128 - 
     (61*S[-1, Infinity]*S[5, Infinity])/16 + S[2, Infinity]*
      ((7*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]/2) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-19*S[-5, -1, Infinity] + 52*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((73*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1829*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((149*S[-1, Infinity]^7)/5040 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (16*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (1807*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((2751*S[-1, Infinity]^2)/128 + (23715*S[2, Infinity])/896)*
      S[5, Infinity] - (126299*S[7, Infinity])/1792 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 + (1857*S[2, Infinity]^2)/1120 - 
       S[-1, 1, 1, 1, Infinity]/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/48 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-89*S[-5, -1, Infinity] - 
        252*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (118*S[-5, 1, 1, Infinity] - 127*S[5, -1, -1, Infinity] - 
       518*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-23*S[-5, 1, 1, Infinity] - 142*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2229760*S[-7, -1, Infinity] - 324433*S[5, 3, Infinity] - 
     212480*S[-5, -1, -1, -1, Infinity] - 222080*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1182720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, -1, 1, -2, -1, Infinity] -> 
  (-331*S[-1, Infinity]^8)/20160 - (207*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (4837829*S[2, Infinity]^4)/784000 + 
   ((1495*S[-1, Infinity]^2)/1792 + (9547*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1015*S[-1, Infinity]^3)/384 - 
     (965*S[-1, Infinity]*S[2, Infinity])/28 - (8499*S[3, Infinity])/1792)*
    S[5, Infinity] + (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-407*S[-1, Infinity]^4)/672 + 
     (591*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/448 - 
     (755*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2103*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (615*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/60 + 
     (31*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (1943*S[2, Infinity]^3)/
      1120 + ((-5*S[-1, Infinity]^3)/96 + (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] + (361*S[3, Infinity]^2)/256 - 
     (457*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + (3*S[-1, 1, 1, 1, Infinity])/
        4) + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(11*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(373*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (104*S[-5, -1, Infinity] + 77*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((83*S[-1, Infinity]^7)/2520 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (249*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((1081*S[-1, Infinity]^2)/64 + (19759*S[2, Infinity])/896)*
      S[5, Infinity] - (276919*S[7, Infinity])/3584 + 
     (34*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/64 + 
       (S[-1, Infinity]^2*S[2, Infinity])/8 + (4733*S[2, Infinity]^2)/2240 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-7*S[-1, Infinity]^5)/40 + 
       3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (68*S[-5, 1, 1, Infinity] - 
       93*S[5, -1, -1, Infinity] - 560*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (-1432000*S[-7, -1, Infinity] - 225923*S[5, 3, Infinity] - 
     171520*S[-5, -1, -1, -1, Infinity] - 88320*S[-5, -1, 1, 1, Infinity] + 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -1, 1, -2, 1, Infinity] -> (-61*S[-1, Infinity]^8)/5040 - 
   (743*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (65707*S[2, Infinity]^4)/22400 + ((3077*S[-1, Infinity]^2)/1792 + 
     (2065*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-649*S[-1, Infinity]^3)/96 - (49647*S[-1, Infinity]*S[2, Infinity])/
      896 - (6357*S[3, Infinity])/512)*S[5, Infinity] + 
   (12127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/80 - S[-1, 1, 1, 1, Infinity]/
      8) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((251*S[-1, Infinity]^5)/960 - 
     (253*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (41813*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (161*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/96 - 
     (31*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (443*S[2, Infinity]^3)/
      1120 + ((-5*S[-1, Infinity]^3)/96 - (5*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (181*S[3, Infinity]^2)/256 - 
     (457*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((5*S[-1, Infinity]^4)/96 - (3*S[-1, 1, 1, 1, Infinity])/
        4) + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (4*S[-1, Infinity]^2*(18*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (185*S[-5, -1, Infinity] + 44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/560 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/2 + 
     (123*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1245*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((2689*S[-1, Infinity]^2)/128 + (12639*S[2, Infinity])/448)*
      S[5, Infinity] - (565965*S[7, Infinity])/7168 - 
     S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[3, Infinity]*(-S[-1, Infinity]^4/64 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (10167*S[2, Infinity]^2)/
        2240 + (9*S[-1, 1, 1, 1, Infinity])/4) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-29*S[-1, Infinity]^5)/240 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]*(17*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(52*S[-5, 1, 1, Infinity] - 95*S[5, -1, -1, Infinity] - 
        336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 99*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-15136*S[-7, -1, Infinity] - 2621*S[5, 3, Infinity] - 
     1856*S[-5, -1, -1, -1, Infinity] - 1024*S[-5, -1, 1, 1, Infinity] - 
     192*S[-1, 1, 1, 1, Infinity]^2 + 8320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[1, 1, -1, -1, 1, 2, -1, Infinity] -> 
  (-341*S[-1, Infinity]^8)/20160 - (1269*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (547871*S[2, Infinity]^4)/392000 + 
   ((-1733*S[-1, Infinity]^2)/896 + (271*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-709*S[-1, Infinity]^3)/192 - 
     (2669*S[-1, Infinity]*S[2, Infinity])/224 - (11323*S[3, Infinity])/896)*
    S[5, Infinity] + (146487*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((369*S[-1, Infinity]^4)/560 - 
     (177*S[-1, 1, 1, 1, Infinity])/140) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/56 - 
     (521*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (8433*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (201*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(95*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/60 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (31*S[2, Infinity]^3)/70 + 
     ((23*S[-1, Infinity]^3)/96 + (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (25*S[3, Infinity]^2)/64 - 
     (23*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      ((5*S[-1, Infinity]^4)/48 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(45*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/630 - 
     (79*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (719*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1081*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((151*S[-1, Infinity]^2)/64 - (3603*S[2, Infinity])/896)*
      S[5, Infinity] + (178827*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 - 
       (73*S[-1, Infinity]^2*S[2, Infinity])/32 - (1017*S[2, Infinity]^2)/
        560 - (27*S[-1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((5*S[-1, Infinity]^5)/48 - 
       6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-81*S[-5, -1, Infinity] - 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, -1, 1, 2, 1, Infinity] -> 
  (-151*S[-1, Infinity]^8)/10080 + (1423*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (422803*S[2, Infinity]^4)/196000 + 
   ((-423*S[-1, Infinity]^2)/448 - (3245*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-23*S[-1, Infinity]^3)/384 + 
     (17887*S[-1, Infinity]*S[2, Infinity])/896 + (7661*S[3, Infinity])/1792)*
    S[5, Infinity] - (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/3360 + 
     (797*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((523*S[-1, Infinity]^5)/3360 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (2281*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (773*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((-31*S[-1, Infinity]^6)/1440 + 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (3*S[2, Infinity]^3)/14 + 
     ((23*S[-1, Infinity]^3)/96 + (23*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (87*S[3, Infinity]^2)/128 - 
     (23*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      ((5*S[-1, Infinity]^4)/96 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((53*S[-1, Infinity]^7)/1680 - 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (711*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (75*S[-1, Infinity]*S[3, Infinity]^2)/14 + 
     ((-163*S[-1, Infinity]^2)/128 - (7635*S[2, Infinity])/448)*
      S[5, Infinity] + (162657*S[7, Infinity])/3584 + 
     (30*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-115*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (1983*S[2, Infinity]^2)/280 - (69*S[-1, 1, 1, 1, Infinity])/8) - 
     S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
        42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (23360*S[-7, -1, Infinity] + 65433*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 170240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, 1, -1, -2, -1, Infinity] -> 
  (199*S[-1, Infinity]^8)/40320 + (901*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (939163*S[2, Infinity]^4)/196000 + 
   ((635*S[-1, Infinity]^2)/896 + (15*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((593*S[-1, Infinity]^3)/192 + (9859*S[-1, Infinity]*S[2, Infinity])/896 - 
     (48163*S[3, Infinity])/7168)*S[5, Infinity] - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((2551*S[-1, Infinity]^4)/6720 + 
     (26*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-853*S[-1, Infinity]^5)/6720 + (769*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (2769*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (477*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (13*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/80 + 
     (51*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (191*S[2, Infinity]^3)/
      560 + ((-5*S[-1, Infinity]^3)/96 + (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (5*S[3, Infinity]^2)/128 + 
     (221*S[-1, Infinity]*S[5, Infinity])/64 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^4/8 + 
       S[-1, 1, 1, 1, Infinity]) + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-109*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (375*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-29*S[-1, Infinity]^7)/2520 - 
     (151*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (2839*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (255*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-159*S[-1, Infinity]^2)/64 + (1621*S[2, Infinity])/448)*
      S[5, Infinity] - (140547*S[7, Infinity])/7168 + 
     (51*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (1123*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/2) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/20 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (51*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-946240*S[-7, -1, Infinity] - 105893*S[5, 3, Infinity] + 
     47360*S[-5, -1, -1, -1, Infinity] - 199680*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 896000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 1, -1, -2, 1, Infinity] -> 
  (239*S[-1, Infinity]^8)/20160 - (19*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 + (813459*S[2, Infinity]^4)/392000 + 
   ((-183*S[-1, Infinity]^2)/448 + (1305*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((2209*S[-1, Infinity]^3)/384 - 
     (11043*S[-1, Infinity]*S[2, Infinity])/896 - (60733*S[3, Infinity])/
      7168)*S[5, Infinity] - (49709*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((197*S[-1, Infinity]^4)/6720 + 
     (271*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-199*S[-1, Infinity]^5)/2240 + (3*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (25133*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (733*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (13*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1153*S[-5, -1, Infinity] - 
       280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((3*S[-1, Infinity]^6)/160 + 
     (39*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (101*S[2, Infinity]^3)/
      280 + ((-5*S[-1, Infinity]^3)/96 + (5*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] - (95*S[3, Infinity]^2)/128 + 
     (221*S[-1, Infinity]*S[5, Infinity])/64 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-3*S[-1, Infinity]^4)/32 + 
       S[-1, 1, 1, 1, Infinity]) + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(341*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-25*S[-1, Infinity]^7)/1008 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (125*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-659*S[-1, Infinity]^2)/128 + (4143*S[2, Infinity])/896)*
      S[5, Infinity] - (45419*S[7, Infinity])/3584 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (3*S[2, Infinity]^2)/2240 - 
       S[-1, 1, 1, 1, Infinity]/2) + 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((17*S[-1, Infinity]^5)/120 - 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(43*S[-5, -1, Infinity] - 
        126*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (19*S[-5, 1, 1, Infinity] - 16*S[5, -1, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-32*S[-5, 1, 1, Infinity] + 45*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2159680*S[-7, -1, Infinity] - 315167*S[5, 3, Infinity] - 
     211200*S[-5, -1, -1, -1, Infinity] - 227840*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 1, -1, 2, -1, Infinity] -> 
  (-101*S[-1, Infinity]^8)/8064 - (5161*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (27721*S[2, Infinity]^4)/196000 + 
   ((-263*S[-1, Infinity]^2)/56 + (1397*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((281*S[-1, Infinity]^3)/96 - 
     (8759*S[-1, Infinity]*S[2, Infinity])/896 - (65721*S[3, Infinity])/3584)*
    S[5, Infinity] - (1535*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-243*S[-1, Infinity]^4)/560 - 
     (25*S[-1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1271*S[-1, Infinity]^5)/3360 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (14083*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (57*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/48 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (106*S[-5, -1, Infinity] - 
       21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/48 - 
     (27*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (27*S[2, Infinity]^3)/80 + 
     ((23*S[-1, Infinity]^3)/96 + (11*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (163*S[3, Infinity]^2)/128 - 
     (85*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      ((3*S[-1, Infinity]^4)/16 - S[-1, 1, 1, 1, Infinity]) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(391*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-60*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/630 + 
     (111*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (139*S[-1, Infinity]*S[2, Infinity]^3)/70 + 
     (1971*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-221*S[-1, Infinity]^2)/64 - (12339*S[2, Infinity])/896)*
      S[5, Infinity] + (31799*S[7, Infinity])/896 + 
     S[3, Infinity]*((-73*S[-1, Infinity]^4)/192 - 
       (17*S[-1, Infinity]^2*S[2, Infinity])/16 - (267*S[2, Infinity]^2)/
        280 + S[-1, 1, 1, 1, Infinity]/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-59*S[-1, Infinity]^5)/240 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(75*S[-5, -1, Infinity] - 
        98*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (11*S[-5, 1, 1, Infinity] + 130*S[5, -1, -1, Infinity] + 
       308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-433920*S[-7, -1, Infinity] - 99843*S[5, 3, Infinity] - 
     70400*S[-5, -1, -1, -1, Infinity] - 72960*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 125440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 1, -1, 2, 1, Infinity] -> 
  (-53*S[-1, Infinity]^8)/2880 - (823*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (176853*S[2, Infinity]^4)/196000 + 
   ((-319*S[-1, Infinity]^2)/896 + (107*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-85*S[-1, Infinity]^3)/384 + 
     (3821*S[-1, Infinity]*S[2, Infinity])/896 - (6849*S[3, Infinity])/3584)*
    S[5, Infinity] - (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((139*S[-1, Infinity]^4)/840 + 
     (37*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((743*S[-1, Infinity]^5)/3360 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (5709*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (30*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*((-37*S[-1, Infinity]^6)/1440 + 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (61*S[2, Infinity]^3)/
      560 + ((23*S[-1, Infinity]^3)/96 + (19*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (75*S[3, Infinity]^2)/64 - 
     (85*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      ((7*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/2) + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((79*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (261*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((191*S[-1, Infinity]^7)/5040 - 
     (27*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (33*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (355*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-39*S[-1, Infinity]^2)/128 - (4667*S[2, Infinity])/448)*
      S[5, Infinity] + (252857*S[7, Infinity])/7168 + 
     (71*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((-49*S[-1, Infinity]^4)/192 - 
       (29*S[-1, Infinity]^2*S[2, Infinity])/16 - (2839*S[2, Infinity]^2)/
        560 - (5*S[-1, 1, 1, 1, Infinity])/2) - 
     (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^5)/48 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (71*S[-5, 1, 1, Infinity] + 
       99*S[5, -1, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (115520*S[-7, -1, Infinity] + 51019*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] - 38400*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 1, 1, -2, -1, Infinity] -> 
  (55*S[-1, Infinity]^8)/4032 - (967*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (4561*S[2, Infinity]^4)/980 + 
   ((1515*S[-1, Infinity]^2)/1792 + (6361*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1217*S[-1, Infinity]^3)/384 - 
     (21543*S[-1, Infinity]*S[2, Infinity])/896 + (2197*S[3, Infinity])/7168)*
    S[5, Infinity] - (10837*S[-1, Infinity]*S[7, Infinity])/448 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-481*S[-1, Infinity]^4)/1680 + 
     (199*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/112 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3551*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-107*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (27*S[-5, -1, Infinity] - 154*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/72 - 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (927*S[2, Infinity]^3)/
      1120 + (-S[-1, Infinity]^3/8 - (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (107*S[3, Infinity]^2)/256 + 
     (S[-1, Infinity]*S[5, Infinity])/16 + S[2, Infinity]*
      (-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (13*S[-5, -1, Infinity] - 44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(94*S[-5, -1, Infinity] - 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 66*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/840 + 
     (91*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (459*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (993*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-157*S[-1, Infinity]^2)/32 - (323*S[2, Infinity])/112)*
      S[5, Infinity] + (3873*S[7, Infinity])/224 + 
     S[3, Infinity]*((35*S[-1, Infinity]^4)/192 + 
       (53*S[-1, Infinity]^2*S[2, Infinity])/32 - (243*S[2, Infinity]^2)/
        1120 + S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(177*S[-5, -1, Infinity] - 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-57*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-199872*S[-7, -1, Infinity] - 56459*S[5, 3, Infinity] - 
     67328*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2 - 86016*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 1, -1, 1, 1, -2, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/2520 - (327*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (519387*S[2, Infinity]^4)/196000 + 
   ((1957*S[-1, Infinity]^2)/1792 + (591*S[2, Infinity])/448)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/48 - 
     (1109*S[-1, Infinity]*S[2, Infinity])/112 - (41297*S[3, Infinity])/7168)*
    S[5, Infinity] + (93*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((101*S[-1, Infinity]^4)/1120 - 
     (303*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/280 + 
     (27*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (18841*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-379*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((13*S[-1, Infinity]^6)/1440 - 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (243*S[2, Infinity]^3)/
      1120 + (-S[-1, Infinity]^3/8 - (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (111*S[3, Infinity]^2)/256 + 
     (S[-1, Infinity]*S[5, Infinity])/16 + S[2, Infinity]*
      ((-5*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-59*S[-1, Infinity]^7)/5040 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (167*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (375*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-225*S[-1, Infinity]^2)/128 + (3711*S[2, Infinity])/896)*
      S[5, Infinity] - (3091*S[7, Infinity])/448 - 
     (89*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((13*S[-1, Infinity]^4)/192 + 
       (27*S[-1, Infinity]^2*S[2, Infinity])/32 + (3743*S[2, Infinity]^2)/
        1120 + (23*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-89*S[-5, 1, 1, Infinity] - 40*S[5, -1, -1, Infinity] + 
       280*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (216000*S[-7, -1, Infinity] - 85053*S[5, 3, Infinity] - 
     119040*S[-5, -1, -1, -1, Infinity] + 128000*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 680960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 1, 1, 2, -1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/2880 + (179*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (19631*S[2, Infinity]^4)/6272 + 
   ((-1045*S[-1, Infinity]^2)/896 - (1917*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((11*S[-1, Infinity]^3)/32 + 
     (3065*S[-1, Infinity]*S[2, Infinity])/224 + (765*S[3, Infinity])/448)*
    S[5, Infinity] + S[2, Infinity]^2*((41*S[-1, Infinity]^4)/1680 - 
     (563*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((321*S[-1, Infinity]^5)/1120 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (621*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (207*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-79*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/120 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (13*S[2, Infinity]^3)/70 + 
     (S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] - (3*S[3, Infinity]^2)/8 + 2*S[-1, Infinity]*
      S[5, Infinity] + S[2, Infinity]*(S[-1, Infinity]^4/12 - 
       (7*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((73*S[-1, Infinity]^6)/720 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (361*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/1260 - 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (109*S[-1, Infinity]*S[2, Infinity]^3)/80 - 
     (61*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((27*S[-1, Infinity]^2)/64 + (1467*S[2, Infinity])/448)*S[5, Infinity] - 
     (75135*S[7, Infinity])/3584 + (15*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-37*S[-1, Infinity]^4)/96 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/16 + (65*S[2, Infinity]^2)/56 + 
       (13*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-37*S[-1, Infinity]^5)/240 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (15*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       210*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-17216*S[-7, -1, Infinity] + 989*S[5, 3, Infinity] + 
     2752*S[-5, -1, -1, -1, Infinity] - 4768*S[-5, -1, 1, 1, Infinity] + 
     25088*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/896, 
 S[1, 1, -1, 1, 1, 2, 1, Infinity] -> (-23*S[-1, Infinity]^8)/10080 - 
   (377*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (322627*S[2, Infinity]^4)/156800 + 
   ((-1507*S[-1, Infinity]^2)/896 + (4737*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((385*S[-1, Infinity]^3)/128 - 
     (5289*S[-1, Infinity]*S[2, Infinity])/896 - (5223*S[3, Infinity])/896)*
    S[5, Infinity] - (69777*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-227*S[-1, Infinity]^4)/3360 + 
     (95*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((503*S[-1, Infinity]^5)/3360 - (335*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (12661*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (307*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (971*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/480 + 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (23*S[2, Infinity]^3)/70 + 
     (S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] - (55*S[3, Infinity]^2)/64 + 
     2*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      (S[-1, Infinity]^4/32 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(97*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/1008 - 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (223*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-287*S[-1, Infinity]^2)/128 - (2899*S[2, Infinity])/896)*
      S[5, Infinity] - (2679*S[7, Infinity])/1792 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 - (95*S[2, Infinity]^2)/112 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/120 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] - 126*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/14 + (5*S[-5, 1, 1, Infinity] + 
       26*S[5, -1, -1, Infinity] - 308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) - (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 
      52*S[5, -1, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-25232*S[-7, -1, Infinity] - 3719*S[5, 3, Infinity] - 
     2080*S[-5, -1, -1, -1, Infinity] - 2512*S[-5, -1, 1, 1, Infinity] + 
     224*S[-1, 1, 1, 1, Infinity]^2 + 14784*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/448, S[1, 1, 1, -1, -1, -2, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/960 + (541*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (76281*S[2, Infinity]^4)/24500 + ((-6689*S[-1, Infinity]^2)/5376 - 
     (35201*S[2, Infinity])/5376)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/64 + (18327*S[-1, Infinity]*S[2, Infinity])/896 + 
     (131849*S[3, Infinity])/21504)*S[5, Infinity] + 
   S[2, Infinity]^2*((2363*S[-1, Infinity]^4)/3360 - 
     (73*S[-1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/80 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((-13*S[-1, Infinity]^2)/48 - (13*S[2, Infinity])/48)*S[3, Infinity] + 
     (845*S[5, Infinity])/384 - (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 + (11*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/448 + 
     (1651*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (62423*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (1189*S[-1, 1, 1, 1, 1, Infinity])/168) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/96 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-39*S[-5, -1, Infinity] - 119*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/480 - 
     (91*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (261*S[2, Infinity]^3)/
      160 + ((13*S[-1, Infinity]^3)/24 - (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] - (7*S[3, Infinity]^2)/8 + 
     S[2, Infinity]*((5*S[-1, Infinity]^4)/32 - (3*S[-1, 1, 1, 1, Infinity])/
        4) + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-5, -1, Infinity] - 18*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-227*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/45 - 
     (311*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (25*S[-1, Infinity]*S[2, Infinity]^3)/14 + 
     (75*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-1147*S[-1, Infinity]^2)/128 - (3165*S[2, Infinity])/448)*
      S[5, Infinity] + (20413*S[7, Infinity])/448 - 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/16 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/16 - (2551*S[2, Infinity]^2)/
        1120 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/60 - 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity]) + 
     (-30*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity] + 
       294*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1339200*S[-7, -1, Infinity] + 218653*S[5, 3, Infinity] + 
     200960*S[-5, -1, -1, -1, Infinity] + 32000*S[-5, -1, 1, 1, Infinity] - 
     1003520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, -1, -2, 1, Infinity] -> (29*S[-1, Infinity]^8)/6720 + 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (29167*S[2, Infinity]^4)/78400 + ((-16685*S[-1, Infinity]^2)/5376 - 
     (31337*S[2, Infinity])/5376)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/16 + (26335*S[-1, Infinity]*S[2, Infinity])/896 - 
     (32791*S[3, Infinity])/21504)*S[5, Infinity] - 
   (5997*S[-1, Infinity]*S[7, Infinity])/512 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((271*S[-1, Infinity]^4)/672 + 
     (81*S[-1, 1, 1, 1, Infinity])/56) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/48 - (7*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((-13*S[-1, Infinity]^2)/48 + S[2, Infinity]/6)*S[3, Infinity] + 
     (101*S[5, Infinity])/384 - (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 + (5*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/448 + 
     (2785*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (88883*S[-1, Infinity]*S[2, Infinity]^2)/13440 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     (1189*S[-1, 1, 1, 1, 1, Infinity])/168) + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-11*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/40 + 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (493*S[2, Infinity]^3)/
      1120 + ((13*S[-1, Infinity]^3)/24 - (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] - (13*S[3, Infinity]^2)/8 + 
     (93*S[-1, Infinity]*S[5, Infinity])/16 + S[2, Infinity]*
      (S[-1, Infinity]^4/8 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (15*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-129*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/5040 - 
     (167*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (59*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (38*S[-1, Infinity]*S[3, Infinity]^2)/7 + 
     ((-2573*S[-1, Infinity]^2)/128 - (8513*S[2, Infinity])/448)*
      S[5, Infinity] + (205283*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/16 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 - (3251*S[2, Infinity]^2)/
        1120 - (9*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/240 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(-17*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-22*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
       175*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (264256*S[-7, -1, Infinity] + 44425*S[5, 3, Infinity] + 
     33024*S[-5, -1, -1, -1, Infinity] + 9984*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 164864*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 1, 1, -1, -1, 2, -1, Infinity] -> 
  (7*S[-1, Infinity]^8)/5760 + (333*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (3219071*S[2, Infinity]^4)/784000 + 
   ((145*S[-1, Infinity]^2)/384 - (757*S[2, Infinity])/1344)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/16 + 
     (157*S[-1, Infinity]*S[2, Infinity])/8 + (20305*S[3, Infinity])/5376)*
    S[5, Infinity] - (48829*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-739*S[-1, Infinity]^4)/1680 + 
     (393*S[-1, 1, 1, 1, Infinity])/140) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/240 + (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (47*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     (S[-1, Infinity]^2/48 + S[2, Infinity]/48)*S[3, Infinity] - 
     (61*S[5, Infinity])/48 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-929*S[-1, Infinity]^5)/3360 + 
     (977*S[-1, Infinity]^3*S[2, Infinity])/504 + 
     (7337*S[-1, Infinity]*S[2, Infinity]^2)/960 + 
     (67*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/12 + 
     (179*S[-1, 1, 1, 1, 1, Infinity])/42) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(95*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (43*S[2, Infinity]^3)/35 + 
     (-S[-1, Infinity]^3/24 + (5*S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] + (25*S[3, Infinity]^2)/128 + 
     (93*S[-1, Infinity]*S[5, Infinity])/32 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] + 
      10*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/630 + 
     (247*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (283*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (783*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-589*S[-1, Infinity]^2)/64 - (8285*S[2, Infinity])/448)*
      S[5, Infinity] + (73889*S[7, Infinity])/3584 + 
     S[3, Infinity]*((5*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (95*S[2, Infinity]^2)/112 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/30 + 5*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(11*S[-5, -1, Infinity] + 
        35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-22*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, -1, -1, 2, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/13440 - (601*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (1440129*S[2, Infinity]^4)/784000 + 
   ((193*S[-1, Infinity]^2)/2688 + (17*S[2, Infinity])/84)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/14 + (30721*S[3, Infinity])/5376)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/210 - 
     (123*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/5040 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/1008 - 
     (839*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (59*S[-1, 1, 1, 1, 1, Infinity])/42) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/720 - (S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (S[-1, Infinity]^2/48 + S[2, Infinity]/48)*S[3, Infinity] - 
     (29*S[5, Infinity])/96 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/180 + (S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (3*S[2, Infinity]^3)/35 + 
     (-S[-1, Infinity]^3/24 - (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (123*S[3, Infinity]^2)/128 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-3*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-285*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/1008 + 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-93*S[-1, Infinity]^2)/64 + (795*S[2, Infinity])/448)*S[5, Infinity] - 
     (23769*S[7, Infinity])/3584 - (17*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/8 + (321*S[2, Infinity]^2)/560 + 
       6*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) + (-34*S[-5, 1, 1, Infinity] - 
       13*S[5, -1, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      14) + (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] + 
     116480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, 1, 1, -1, 1, -2, -1, Infinity] -> (-67*S[-1, Infinity]^8)/8064 + 
   3*S[-1, Infinity]^2*S[2, Infinity]^3 + (333269*S[2, Infinity]^4)/98000 + 
   ((-13871*S[-1, Infinity]^2)/5376 - (3601*S[2, Infinity])/1344)*
    S[3, Infinity]^2 + ((2201*S[-1, Infinity]^3)/384 + 
     (22163*S[-1, Infinity]*S[2, Infinity])/896 + (61205*S[3, Infinity])/
      21504)*S[5, Infinity] - (17423*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/672 + S[-1, 1, 1, 1, Infinity]/
      14) + S[3, Infinity]*((487*S[-1, Infinity]^5)/10080 + 
     (1567*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (40177*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     (277*S[-1, 1, 1, 1, 1, Infinity])/84) + S[1, Infinity]^3*
    ((7*S[-1, Infinity]^5)/720 + (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (31*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     ((-5*S[-1, Infinity]^2)/96 + (5*S[2, Infinity])/96)*S[3, Infinity] - 
     (457*S[5, Infinity])/384 - (7*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (5*S[-1, Infinity]^2*(23*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^4*S[2, Infinity])/32 + 
     (73*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (4*S[2, Infinity]^3)/5 + 
     ((5*S[-1, Infinity]^3)/48 - (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (201*S[3, Infinity]^2)/256 + 
     (341*S[-1, Infinity]*S[5, Infinity])/128 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-17*S[-5, -1, Infinity] + 
       44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-46*S[-5, -1, Infinity] + 77*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((61*S[-1, Infinity]^7)/2520 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/2 + 
     ((-5*S[-1, Infinity]^4)/64 - (3*S[-1, Infinity]^2*S[2, Infinity])/2 - 
       (313*S[2, Infinity]^2)/224)*S[3, Infinity] + 
     (501*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1147*S[-1, Infinity]^2)/128 - (16917*S[2, Infinity])/896)*
      S[5, Infinity] + (42227*S[7, Infinity])/1792 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/15 - (7*S[-1, 1, 1, 1, 1, Infinity])/
        2) - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-19*S[-5, 1, 1, Infinity] + 72*S[5, -1, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-7*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (335680*S[-7, -1, Infinity] + 128507*S[5, 3, Infinity] + 
     147200*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] + 
     680960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, 1, -2, 1, Infinity] -> -S[-1, Infinity]^8/3360 + 
   (241*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (513173*S[2, Infinity]^4)/392000 + 
   ((-4211*S[-1, Infinity]^2)/5376 - (1559*S[2, Infinity])/672)*
    S[3, Infinity]^2 + ((219*S[-1, Infinity]*S[2, Infinity])/28 + 
     (118171*S[3, Infinity])/21504)*S[5, Infinity] - 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/420 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/112 - (5*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (15133*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/240 - (S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     ((-5*S[-1, Infinity]^2)/96 + (5*S[2, Infinity])/96)*S[3, Infinity] - 
     (29*S[5, Infinity])/96 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/240 + 
     (S[-1, Infinity]^4*S[2, Infinity])/16 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (113*S[2, Infinity]^3)/280 + 
     ((5*S[-1, Infinity]^3)/48 - (5*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (47*S[3, Infinity]^2)/256 - 
     (3*(S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 + 
     (-127*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*(S[-1, Infinity]^7/560 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (191*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     ((-5*S[-1, Infinity]^4)/64 - (1593*S[2, Infinity]^2)/1120)*
      S[3, Infinity] + (15*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-93*S[-1, Infinity]^2)/64 - (1459*S[2, Infinity])/224)*
      S[5, Infinity] + (46947*S[7, Infinity])/7168 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 - (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (11*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] - 
       252*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (537280*S[-7, -1, Infinity] + 124461*S[5, 3, Infinity] + 
     93440*S[-5, -1, -1, -1, Infinity] + 40960*S[-5, -1, 1, 1, Infinity] + 
     430080*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, 1, 2, -1, Infinity] -> (5*S[-1, Infinity]^8)/192 - 
   (1149*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1306499*S[2, Infinity]^4)/392000 + 
   ((2417*S[-1, Infinity]^2)/5376 - (10025*S[2, Infinity])/5376)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 - 
     (977*S[-1, Infinity]*S[2, Infinity])/896 + (29273*S[3, Infinity])/10752)*
    S[5, Infinity] + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/448 - 
     (111*S[-1, 1, 1, 1, Infinity])/70) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^3*((-19*S[-1, Infinity]^5)/720 + 
     (S[-1, Infinity]^3*S[2, Infinity])/18 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/30 + 
     ((23*S[-1, Infinity]^2)/96 + (19*S[2, Infinity])/96)*S[3, Infinity] + 
     (35*S[5, Infinity])/192 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2179*S[-1, Infinity]^5)/10080 - 
     (1291*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (1193*S[-1, Infinity]*S[2, Infinity]^2)/3360 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (793*S[-1, 1, 1, 1, 1, Infinity])/84) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-131*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((101*S[-1, Infinity]^6)/1440 - 
     (121*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (479*S[2, Infinity]^3)/560 + ((-23*S[-1, Infinity]^3)/48 - 
       (11*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] - 
     (177*S[3, Infinity]^2)/128 + S[2, Infinity]*((-5*S[-1, Infinity]^4)/24 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (17*S[-5, -1, Infinity] - 44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/72 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (745*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (261*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-93*S[-1, Infinity]^2)/32 + (1649*S[2, Infinity])/448)*
      S[5, Infinity] + (8273*S[7, Infinity])/7168 - 
     (55*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 + 
       (111*S[-1, Infinity]^2*S[2, Infinity])/32 + (1423*S[2, Infinity]^2)/
        448 + (21*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((17*S[-1, Infinity]^5)/120 + 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-110*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*(72160*S[-7, -1, Infinity] + 5021*S[5, 3, Infinity] - 
      1280*S[-5, -1, -1, -1, Infinity] + 12480*S[-5, -1, 1, 1, Infinity] + 
      4480*S[-1, 1, 1, 1, Infinity]^2 - 62720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[1, 1, 1, -1, 1, 2, 1, Infinity] -> 
  (73*S[-1, Infinity]^8)/4480 + (571*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (393427*S[2, Infinity]^4)/196000 + 
   ((4511*S[-1, Infinity]^2)/5376 - (6917*S[2, Infinity])/5376)*
    S[3, Infinity]^2 + ((2201*S[-1, Infinity]^3)/384 + 
     (6829*S[-1, Infinity]*S[2, Infinity])/448 + (2995*S[3, Infinity])/1344)*
    S[5, Infinity] - (217523*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((99*S[-1, Infinity]^4)/2240 + 
     (46*S[-1, 1, 1, 1, Infinity])/35) + S[1, Infinity]^3*
    ((-13*S[-1, Infinity]^5)/720 + (7*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((23*S[-1, Infinity]^2)/96 - (23*S[2, Infinity])/96)*S[3, Infinity] - 
     (23*S[5, Infinity])/384 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, Infinity]/3) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3187*S[-1, Infinity]^5)/10080 + 
     (2615*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (38257*S[-1, Infinity]*S[2, Infinity]^2)/6720 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (541*S[-1, 1, 1, 1, 1, Infinity])/84) + S[1, Infinity]^2*
    ((31*S[-1, Infinity]^6)/720 + (29*S[-1, Infinity]^2*S[2, Infinity]^2)/
      160 - (55*S[2, Infinity]^3)/112 + ((-23*S[-1, Infinity]^3)/48 + 
       (23*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (21*S[3, Infinity]^2)/128 + (93*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-23*S[-1, Infinity]^4)/96 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(-19*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-61*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-23*S[-1, Infinity]^7)/560 - 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (101*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (167*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-1147*S[-1, Infinity]^2)/128 - (9951*S[2, Infinity])/896)*
      S[5, Infinity] + (56449*S[7, Infinity])/1792 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/8 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 - (3603*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((23*S[-1, Infinity]^5)/120 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(43*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-127*S[-5, 1, 1, Infinity] + 104*S[5, -1, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (323200*S[-7, -1, Infinity] + 26031*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 56960*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, 1, 1, -1, -2, -1, Infinity] -> 
  (31*S[-1, Infinity]^8)/13440 - (521*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (989049*S[2, Infinity]^4)/784000 + 
   ((-775*S[-1, Infinity]^2)/1344 + (43*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 - 
     (7121*S[-1, Infinity]*S[2, Infinity])/896 + (20389*S[3, Infinity])/5376)*
    S[5, Infinity] - (6945*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/420 - 
     (237*S[-1, 1, 1, 1, Infinity])/140) + S[1, Infinity]^4*
    (S[-1, Infinity]^4/144 + (S[-1, Infinity]^2*S[2, Infinity])/48 - 
     (7*S[2, Infinity]^2)/120 - (5*S[-1, Infinity]*S[3, Infinity])/192 - 
     S[-1, 1, 1, 1, Infinity]/6) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((89*S[-1, Infinity]^5)/1344 - 
     (1573*S[-1, Infinity]^3*S[2, Infinity])/2016 - 
     (4999*S[-1, Infinity]*S[2, Infinity]^2)/1680 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/12 - 
     (125*S[-1, 1, 1, 1, 1, Infinity])/84) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/60 + 
     (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (91*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     (5*S[-1, Infinity]^2*S[3, Infinity])/96 + (221*S[5, Infinity])/192 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*((37*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (17*S[2, Infinity]^3)/28 + 
     ((-5*S[-1, Infinity]^3)/96 - (13*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (107*S[3, Infinity]^2)/128 - 
     (465*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-19*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (79*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((-31*S[-1, Infinity]^7)/1680 - 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (2683*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (3049*S[-1, Infinity]*S[3, Infinity]^2)/1344 + 
     ((93*S[-1, Infinity]^2)/16 + (8327*S[2, Infinity])/896)*S[5, Infinity] - 
     (7599*S[7, Infinity])/7168 + S[3, Infinity]*
      ((53*S[-1, Infinity]^4)/576 + (25*S[-1, Infinity]^2*S[2, Infinity])/
        96 - (103*S[2, Infinity]^2)/1680 - (19*S[-1, 1, 1, 1, Infinity])/
        12) + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-39*S[-5, -1, Infinity] + 
        70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (8*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] + 
       252*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-158880*S[-7, -1, Infinity] - 13451*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 18240*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, 1, -1, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/13440 + (347*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (603703*S[2, Infinity]^4)/784000 + 
   ((275*S[-1, Infinity]^2)/1344 + (225*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-15*S[-1, Infinity]*S[2, Infinity])/7 - 
     (18253*S[3, Infinity])/10752)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]^4*(S[-1, Infinity]^4/192 - 
     (S[-1, Infinity]^2*S[2, Infinity])/32 - (3*S[2, Infinity]^2)/320 - 
     (5*S[-1, Infinity]*S[3, Infinity])/192 - S[-1, 1, 1, 1, Infinity]/8) + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/672 + 
     (233*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/6720 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (2813*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, 1, 1, 1, 1, Infinity]/14) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/240 + (S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (5*S[-1, Infinity]^2*S[3, Infinity])/96 - (23*S[5, Infinity])/384 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/480 + (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (31*S[2, Infinity]^3)/1120 + ((-5*S[-1, Infinity]^3)/96 - 
       (5*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     S[3, Infinity]^2/64 - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(-3*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[2, Infinity]*(43*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1680 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (25*S[-1, Infinity]*S[2, Infinity]^3)/16 - 
     (715*S[-1, Infinity]*S[3, Infinity]^2)/336 + 
     ((279*S[-1, Infinity]^2)/128 + (891*S[2, Infinity])/448)*
      S[5, Infinity] - (28107*S[7, Infinity])/3584 + 
     (43*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((29*S[-1, Infinity]^4)/192 - 
       (19*S[-1, Infinity]^2*S[2, Infinity])/32 + (241*S[2, Infinity]^2)/
        560 - 3*S[-1, 1, 1, 1, Infinity]) + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-261760*S[-7, -1, Infinity] - 35351*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, 1, -1, 2, -1, Infinity] -> (-13*S[-1, Infinity]^8)/4032 - 
   (255*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (10179*S[2, Infinity]^4)/14000 + ((667*S[-1, Infinity]^2)/768 + 
     (489*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/96 - (539*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2885*S[3, Infinity])/768)*S[5, Infinity] + 
   S[1, Infinity]^4*(-S[-1, Infinity]^4/144 - 
     (S[-1, Infinity]^2*S[2, Infinity])/48 + (5*S[2, Infinity]^2)/96 + 
     (S[-1, Infinity]*S[3, Infinity])/96 + S[-1, 1, 1, 1, Infinity]/6) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/480 + 
     (43*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/96 - (49*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (289*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     ((19*S[-1, Infinity]^2)/96 + (7*S[2, Infinity])/32)*S[3, Infinity] - 
     (61*S[5, Infinity])/48 - S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(2*S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2 + S[1, Infinity]^2*((-19*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (909*S[2, Infinity]^3)/
      1120 + ((-5*S[-1, Infinity]^3)/12 + (S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] - S[3, Infinity]^2/4 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^4)/96 + (5*S[-1, 1, 1, 1, Infinity])/
        4) + (-S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-4*S[-5, -1, Infinity] + 5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/1008 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/4 - 
     (339*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (S[-1, Infinity]*S[3, Infinity]^2)/12 + 
     ((217*S[-1, Infinity]^2)/64 + (101*S[2, Infinity])/64)*S[5, Infinity] - 
     (4183*S[7, Infinity])/256 - S[5, -1, -1, Infinity] - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((157*S[-1, Infinity]^4)/576 + 
       (49*S[-1, Infinity]^2*S[2, Infinity])/48 + (1951*S[2, Infinity]^2)/
        960 + (13*S[-1, 1, 1, 1, Infinity])/12) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-3840*S[-7, -1, Infinity] - 981*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/640, 
 S[1, 1, 1, 1, -1, 2, 1, Infinity] -> (5*S[-1, Infinity]^8)/2016 - 
   (149*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2741*S[2, Infinity]^4)/14000 + ((829*S[-1, Infinity]^2)/768 + 
     (429*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-279*S[-1, Infinity]^3)/128 - (761*S[-1, Infinity]*S[2, Infinity])/128 + 
     (5623*S[3, Infinity])/1536)*S[5, Infinity] - 
   (10525*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/160 - 
     (7*S[-1, 1, 1, 1, Infinity])/20) + S[1, Infinity]^4*
    (-S[-1, Infinity]^4/576 + (S[-1, Infinity]^2*S[2, Infinity])/96 - 
     S[2, Infinity]^2/960 + (S[-1, Infinity]*S[3, Infinity])/96 + 
     S[-1, 1, 1, 1, Infinity]/24) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-101*S[-1, Infinity]^5)/1440 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/288 - 
     (661*S[-1, Infinity]*S[2, Infinity]^2)/960 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/6) + S[1, Infinity]^3*
    ((-11*S[-1, Infinity]^5)/720 + (5*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     ((19*S[-1, Infinity]^2)/96 - (7*S[2, Infinity])/32)*S[3, Infinity] - 
     (85*S[5, Infinity])/384 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/288 - 
     (13*S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (109*S[2, Infinity]^3)/560 + 
     ((-5*S[-1, Infinity]^3)/12 + (23*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (31*S[3, Infinity]^2)/32 - 
     (403*S[-1, Infinity]*S[5, Infinity])/128 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-4*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/288 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-5*S[-5, -1, Infinity] + 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/336 + 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (41*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (17*S[-1, Infinity]*S[3, Infinity]^2)/12 + 
     ((775*S[-1, Infinity]^2)/128 + (77*S[2, Infinity])/128)*S[5, Infinity] - 
     (6207*S[7, Infinity])/1024 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((157*S[-1, Infinity]^4)/576 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/24 - (23*S[2, Infinity]^2)/960 + 
       (13*S[-1, 1, 1, 1, Infinity])/12) + S[2, Infinity]*
      (S[-1, Infinity]^5/30 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(3*S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-3*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-31040*S[-7, -1, Infinity] - 4509*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 1280*S[-1, 1, 1, 1, Infinity]^2 + 
     23040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, 1, 1, 1, 1, -2, -1, Infinity] -> -S[-1, Infinity]^8/252 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/160 - (9*S[2, Infinity]^4)/320 + 
   (S[1, Infinity]^5*(-(S[-1, Infinity]*S[2, Infinity])/8 - 
      (5*S[3, Infinity])/96))/10 + ((-7*S[-1, Infinity]^2)/48 - 
     (15*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-3*S[-1, Infinity]*S[2, Infinity])/10 - (13*S[3, Infinity])/32)*
    S[5, Infinity] + S[1, Infinity]^4*(S[-1, Infinity]^4/576 - 
     (S[-1, Infinity]^2*S[2, Infinity])/96 - S[2, Infinity]^2/192 - 
     S[-1, 1, 1, 1, Infinity]/24) + S[2, Infinity]^2*
    ((49*S[-1, Infinity]^4)/960 + S[-1, 1, 1, 1, Infinity]/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/2880 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/144 - 
     (143*S[-1, Infinity]*S[2, Infinity]^2)/480 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/24) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/720 - (S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (31*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     ((-7*S[-1, Infinity]^2)/96 - S[2, Infinity]/8)*S[3, Infinity] - 
     (9*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/6) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]^4*S[2, Infinity])/96 - S[2, Infinity]^3/32 + 
     ((7*S[-1, Infinity]^3)/48 - (S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (67*S[3, Infinity]^2)/768 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]/2) + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/504 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (359*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 - 
     (121*S[2, Infinity]*S[5, Infinity])/64 + (1683*S[7, Infinity])/512 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + S[3, Infinity]*
      ((-17*S[-1, Infinity]^4)/288 - (71*S[-1, Infinity]^2*S[2, Infinity])/
        96 - (1153*S[2, Infinity]^2)/960 - (29*S[-1, 1, 1, 1, Infinity])/
        24) - (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-S[-1, 1, 1, 1, Infinity]^2 - 2*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2, 
 S[1, 1, 1, 1, 1, -2, 1, Infinity] -> (-5*S[-1, Infinity]^8)/1152 - 
   (S[1, Infinity]^4*S[2, Infinity]^2)/320 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (311*S[2, Infinity]^4)/800 - 
   (S[1, Infinity]^5*S[3, Infinity])/192 + 
   ((-43*S[-1, Infinity]^2)/48 + (179*S[2, Infinity])/768)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 - (15*S[-1, Infinity]*S[2, Infinity])/32 - 
     (373*S[3, Infinity])/768)*S[5, Infinity] - 
   (379*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/480 - 
     (11*S[-1, 1, 1, 1, Infinity])/20) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((257*S[-1, Infinity]^5)/2880 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (151*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/24) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 - (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     ((-7*S[-1, Infinity]^2)/96 + S[2, Infinity]/48)*S[3, Infinity] + 
     S[5, Infinity]/48 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     S[-1, 1, 1, 1, 1, Infinity]/6) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2*S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/72 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (15*S[2, Infinity]^3)/224 + 
     ((7*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (29*S[3, Infinity]^2)/768 - 
     (31*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      ((7*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*(S[-1, Infinity]^7/84 - (S[-1, Infinity]^5*S[2, Infinity])/
      20 - (7*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (S[-1, Infinity]*S[3, Infinity]^2)/4 - 
     (91*S[2, Infinity]*S[5, Infinity])/64 + (2441*S[7, Infinity])/512 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 - (7*S[2, Infinity]^2)/320 + 
       S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] + 
        6*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (S[5, -1, -1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-768*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] - 128*S[-1, 1, 1, 1, Infinity]^2 + 
     1024*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[1, 1, 1, 1, 1, 2, -1, Infinity] -> (-17*S[-1, Infinity]^8)/8064 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (1261*S[2, Infinity]^4)/700 + S[1, Infinity]^5*
    ((S[-1, Infinity]*S[2, Infinity])/80 + S[3, Infinity]/480) + 
   ((-7*S[-1, Infinity]^2)/24 + S[2, Infinity]/24)*S[3, Infinity]^2 + 
   ((3*S[-1, Infinity]*S[2, Infinity])/10 + (83*S[3, Infinity])/60)*
    S[5, Infinity] + S[1, Infinity]^4*(-S[-1, Infinity]^4/192 + 
     (S[-1, Infinity]^2*S[2, Infinity])/32 + S[2, Infinity]^2/20 + 
     (7*S[-1, Infinity]*S[3, Infinity])/96 + S[-1, 1, 1, 1, Infinity]/8) + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/960 + 
     (27*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^3*((11*S[-1, Infinity]^5)/720 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (31*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     ((-7*S[-1, Infinity]^2)/48 + S[2, Infinity]/48)*S[3, Infinity] + 
     (2*S[5, Infinity])/3 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/288 + 
     (S[-1, Infinity]^3*S[2, Infinity])/144 + 
     (437*S[-1, Infinity]*S[2, Infinity]^2)/480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    ((-13*S[-1, Infinity]^6)/720 + (3*S[-1, Infinity]^2*S[2, Infinity]^2)/
      16 + (61*S[2, Infinity]^3)/70 + ((7*S[-1, Infinity]^3)/48 + 
       (11*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] + 
     S[3, Infinity]^2/24 + S[2, Infinity]*(S[-1, Infinity]^4/24 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 6*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, 1, 1, Infinity] + S[1, Infinity]*
    ((5*S[-1, Infinity]^7)/504 - (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (669*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/12 + 2*S[2, Infinity]*
      S[5, Infinity] + 6*S[7, Infinity] - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/96 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/16 + (73*S[2, Infinity]^2)/160 + 
       S[-1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 5*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   7*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 1, 2, 1, Infinity] -> 
  -(S[1, Infinity]^4*S[2, Infinity]^2)/20 - (1261*S[2, Infinity]^4)/700 + 
   (S[1, Infinity]^5*S[3, Infinity])/60 + (S[2, Infinity]*S[3, Infinity]^2)/
    3 + S[1, Infinity]^2*((-61*S[2, Infinity]^3)/70 + S[3, Infinity]^2/3) + 
   S[1, Infinity]^3*((S[2, Infinity]*S[3, Infinity])/6 + 
     (2*S[5, Infinity])/3) + (26*S[3, Infinity]*S[5, Infinity])/15 + 
   S[1, Infinity]*((S[2, Infinity]^2*S[3, Infinity])/20 + 
     2*S[2, Infinity]*S[5, Infinity] + 6*S[7, Infinity]), 
 S[1, -1, -1, -1, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/2688 + 
   (619*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (115061*S[2, Infinity]^4)/78400 + ((-747*S[-1, Infinity]^2)/448 - 
     (1933*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/3 + (197*S[-1, Infinity]*S[2, Infinity])/14 + 
     (14229*S[3, Infinity])/1792)*S[5, Infinity] - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/288 + (111*S[-5, -1, Infinity])/28) + 
   S[2, Infinity]^2*((221*S[-1, Infinity]^4)/3360 + 
     (33*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((61*S[-1, Infinity]^5)/840 + (23*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (647*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(S[-1, Infinity]^7/1680 - 
     (S[-1, Infinity]^5*S[2, Infinity])/240 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (261*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/24 - (3*S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (669*S[2, Infinity]^2)/1120)*S[3, Infinity] + 
     (43*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-157*S[-1, Infinity]^2)/128 - (2329*S[2, Infinity])/896)*
      S[5, Infinity] + (17401*S[7, Infinity])/3584 - 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (3*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*(-2720*S[-7, -1, Infinity] - 2305*S[5, 3, Infinity] - 
      2304*S[-5, -1, -1, -1, Infinity] + 1408*S[-5, -1, 1, 1, Infinity] - 
      8960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/1792, 
 S[1, -1, -1, -1, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/4032 + 
   (923*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (29269*S[2, Infinity]^4)/19600 + ((-879*S[-1, Infinity]^2)/896 - 
     (141*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-151*S[-1, Infinity]^3)/384 - (2353*S[-1, Infinity]*S[2, Infinity])/
      896 + (383*S[3, Infinity])/448)*S[5, Infinity] + 
   S[1, Infinity]*(-(S[-1, Infinity]^5*S[2, Infinity])/240 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (57*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (-S[-1, Infinity]^4/24 - (3*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (3*S[2, Infinity]^2)/40)*S[3, Infinity] + 
     (S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     (-S[-1, Infinity]^2/2 - (13*S[2, Infinity])/32)*S[5, Infinity] - 
     S[7, Infinity]) + (20985*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 + (307*S[-5, -1, Infinity])/56) + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/448 + 
     (61*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((39*S[-1, Infinity]^5)/560 - (9*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (6919*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-989*S[-7, -1, Infinity] - 71*S[5, 3, Infinity] - 
     4*S[-5, -1, -1, -1, Infinity] - 122*S[-5, -1, 1, 1, Infinity] + 
     784*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/56, 
 S[1, -1, -1, -1, -1, 1, -2, Infinity] -> S[-1, Infinity]^8/1344 - 
   (53*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + (4975581*S[2, Infinity]^4)/
    784000 + ((-449*S[-1, Infinity]^2)/64 + (261*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((221*S[-1, Infinity]^3)/384 - 
     (617*S[-1, Infinity]*S[2, Infinity])/128 - (88297*S[3, Infinity])/3584)*
    S[5, Infinity] + (11511*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/224 - 
     (33*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    ((2377*S[-1, Infinity]^5)/6720 - (263*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (3247*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (47*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/480 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (3*(-143*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (983*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     (-S[-1, Infinity]^2/2 + (2455*S[2, Infinity])/896)*S[5, Infinity] - 
     (1909*S[7, Infinity])/112 + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/
      6 + S[3, Infinity]*((-23*S[-1, Infinity]^4)/192 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 + (7169*S[2, Infinity]^2)/
        2240 + (11*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/240 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(23*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-2*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity] - 
       14*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] + 48*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(58560*S[-7, -1, Infinity] + 11787*S[5, 3, Infinity] - 
      8320*S[-5, -1, -1, -1, Infinity] + 19520*S[-5, -1, 1, 1, Infinity] + 
      4480*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[1, -1, -1, -1, -1, 1, 2, Infinity] -> 
  (-5*S[-1, Infinity]^8)/2016 + (47*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (285043*S[2, Infinity]^4)/196000 + 
   ((-1861*S[-1, Infinity]^2)/896 - (211*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((125*S[-1, Infinity]^3)/96 + 
     (9899*S[-1, Infinity]*S[2, Infinity])/448 + (6571*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((151*S[-1, Infinity]^4)/1680 + 
     (25*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/2240 + 
     (59*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (1091*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (871*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (355*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-73*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/5040 - 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (541*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (211*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-157*S[-1, Infinity]^2)/128 - (1517*S[2, Infinity])/128)*
      S[5, Infinity] + (1099*S[7, Infinity])/32 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/24 - 
       (11*S[-1, Infinity]^2*S[2, Infinity])/4 - (409*S[2, Infinity]^2)/80 - 
       (41*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((23*S[-1, Infinity]^5)/240 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-11*S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (17*S[-5, 1, 1, Infinity] + 14*S[5, -1, -1, Infinity] - 
       16*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (23360*S[-7, -1, Infinity] + 65433*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, -1, 1, -1, -2, Infinity] -> 
  (53*S[-1, Infinity]^8)/4032 + (123*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (2055539*S[2, Infinity]^4)/588000 + 
   ((-921*S[-1, Infinity]^2)/448 - (38*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-71*S[-1, Infinity]^3)/128 + (1557*S[-1, Infinity]*S[2, Infinity])/224 + 
     (295*S[3, Infinity])/1792)*S[5, Infinity] + 
   (226497*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-153*S[-1, Infinity]^4)/2240 + 
     (102*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-211*S[-1, Infinity]^5)/1120 - (253*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (167*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (109*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-9*S[-1, Infinity]^6)/160 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (193*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/504 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (21*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (137*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-109*S[-1, Infinity]^2)/32 - (429*S[2, Infinity])/128)*
      S[5, Infinity] + (763*S[7, Infinity])/256 + 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + S[3, Infinity]*
      ((17*S[-1, Infinity]^4)/192 + S[-1, Infinity]^2*S[2, Infinity] + 
       (61*S[2, Infinity]^2)/320 - S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (-5*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (28320*S[-7, -1, Infinity] + 26753*S[5, 3, Infinity] + 
     45440*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, -1, 1, -1, 2, Infinity] -> 
  (101*S[-1, Infinity]^8)/8064 + (237*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 + (3667*S[2, Infinity]^4)/672 + 
   ((-9*S[-1, Infinity]^2)/64 - (615*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((11*S[-1, Infinity]^3)/64 + (4065*S[-1, Infinity]*S[2, Infinity])/128 - 
     (529*S[3, Infinity])/256)*S[5, Infinity] - 
   (49*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/240 + 
     (13*S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    ((-35*S[-1, Infinity]^5)/192 + (3*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (3021*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (37*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-5*S[-5, -1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-47*S[-1, Infinity]^7)/5040 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (1779*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (241*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-529*S[-1, Infinity]^2)/128 - (18387*S[2, Infinity])/896)*
      S[5, Infinity] + (247861*S[7, Infinity])/7168 + 
     (37*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((17*S[-1, Infinity]^4)/192 - 
       (37*S[-1, Infinity]^2*S[2, Infinity])/32 - (3007*S[2, Infinity]^2)/
        1120 - S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/240 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (25*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (14080*S[-7, -1, Infinity] + 4123*S[5, 3, Infinity] + 
     5376*S[-5, -1, -1, -1, Infinity] - 2176*S[-5, -1, 1, 1, Infinity] + 
     1536*S[-1, 1, 1, 1, Infinity]^2 + 6656*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[1, -1, -1, -1, 1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^8/504 + (1227*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (4887671*S[2, Infinity]^4)/1176000 + 
   ((-1761*S[-1, Infinity]^2)/896 - (6445*S[2, Infinity])/896)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/96 + 
     (14087*S[-1, Infinity]*S[2, Infinity])/448 + (23293*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/70 - 
     (31*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((449*S[-1, Infinity]^5)/3360 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (14781*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (57*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-149*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-17*S[-5, -1, Infinity] + 
       98*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/5040 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (283*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (57*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-529*S[-1, Infinity]^2)/128 - (11707*S[2, Infinity])/896)*
      S[5, Infinity] + (170201*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-23*S[-1, Infinity]^4)/192 - 
       (25*S[-1, Infinity]^2*S[2, Infinity])/32 - (197*S[2, Infinity]^2)/
        140 + (15*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-11*S[-5, -1, Infinity] + 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-34*S[-5, 1, 1, Infinity] + 85*S[5, -1, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (532160*S[-7, -1, Infinity] + 125247*S[5, 3, Infinity] + 
     154880*S[-5, -1, -1, -1, Infinity] - 38400*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, -1, -1, 1, 1, 2, Infinity] -> -S[-1, Infinity]^8/448 + 
   (1243*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (4003483*S[2, Infinity]^4)/2352000 + 
   ((-1797*S[-1, Infinity]^2)/896 - (1887*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-275*S[-1, Infinity]^3)/384 + 
     (2503*S[-1, Infinity]*S[2, Infinity])/896 - (7459*S[3, Infinity])/1792)*
    S[5, Infinity] + (121259*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((491*S[-1, Infinity]^4)/3360 - 
     (13*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((57*S[-1, Infinity]^5)/2240 - 
     (185*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3887*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (19*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-55*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/504 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/10 - 
     (37*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (51*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-109*S[-1, Infinity]^2)/32 - (661*S[2, Infinity])/224)*
      S[5, Infinity] + (24471*S[7, Infinity])/3584 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/96 + 
       (S[-1, Infinity]^2*S[2, Infinity])/16 + (4*S[2, Infinity]^2)/7 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/120 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] + 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-26*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (6000*S[-7, -1, Infinity] + 2153*S[5, 3, Infinity] + 
     3600*S[-5, -1, -1, -1, Infinity] - 520*S[-5, -1, 1, 1, Infinity] - 
     560*S[-1, 1, 1, 1, Infinity]^2 + 10080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[1, -1, -1, 1, -1, -1, -2, Infinity] -> 
  (-41*S[-1, Infinity]^8)/5040 + (61*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (1186119*S[2, Infinity]^4)/784000 + 
   ((4405*S[-1, Infinity]^2)/896 - (407*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1825*S[-1, Infinity]^3)/384 - 
     (4427*S[-1, Infinity]*S[2, Infinity])/896 + (45925*S[3, Infinity])/3584)*
    S[5, Infinity] - (16443*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((257*S[-1, Infinity]^4)/560 - 
     (417*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/1344 + 
     (743*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6907*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/480 - (165*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-257*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/140 - 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (575*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((23*S[-1, Infinity]^2)/16 - (3753*S[2, Infinity])/896)*S[5, Infinity] + 
     (77249*S[7, Infinity])/3584 + S[3, Infinity]*((5*S[-1, Infinity]^4)/96 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/4 - (149*S[2, Infinity]^2)/56 - 
       (9*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((17*S[-1, Infinity]^5)/240 - 3*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-131*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*(3040*S[-7, -1, Infinity] - 2099*S[5, 3, Infinity] + 
      1600*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
      2240*S[-1, 1, 1, 1, Infinity]^2 - 13440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/4480, S[1, -1, -1, 1, -1, -1, 2, Infinity] -> 
  (-31*S[-1, Infinity]^8)/5040 + (1371*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (118007*S[2, Infinity]^4)/196000 + 
   ((1487*S[-1, Infinity]^2)/1792 - (1125*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-247*S[-1, Infinity]^3)/96 + 
     (47*S[-1, Infinity]*S[2, Infinity])/448 + (35053*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/560 + 
     (121*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/6720 + 
     (139*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1685*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (363*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/288 - (587*S[-5, -1, Infinity])/
      56 - (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]^2*(13*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/1680 + 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (417*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (265*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-95*S[-1, Infinity]^2)/128 - (3543*S[2, Infinity])/896)*
      S[5, Infinity] + (39397*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/192 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/32 + (139*S[2, Infinity]^2)/
        224 - (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-19*S[-1, Infinity]^5)/240 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-47*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-72*S[-5, 1, 1, Infinity] + 61*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (500800*S[-7, -1, Infinity] + 66853*S[5, 3, Infinity] + 
     47360*S[-5, -1, -1, -1, Infinity] + 140800*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, 1, -1, 1, -2, Infinity] -> (-37*S[-1, Infinity]^8)/4480 + 
   (323*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (462957*S[2, Infinity]^4)/392000 + 
   ((179*S[-1, Infinity]^2)/1792 - (393*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-277*S[-1, Infinity]^3)/192 + 
     (8621*S[-1, Infinity]*S[2, Infinity])/896 + (10799*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-81*S[-1, Infinity]^4)/1120 - 
     (3*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/840 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (4261*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-25*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-69*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/5040 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (317*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (1111*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-95*S[-1, Infinity]^2)/128 - (6751*S[2, Infinity])/896)*
      S[5, Infinity] + (83865*S[7, Infinity])/3584 + 
     S[3, Infinity]*((9*S[-1, Infinity]^4)/64 - 
       (43*S[-1, Infinity]^2*S[2, Infinity])/32 - (6057*S[2, Infinity]^2)/
        2240 - (7*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-39*S[-5, -1, Infinity] + 
        70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (2*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity] + 
       14*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (50240*S[-7, -1, Infinity] + 6703*S[5, 3, Infinity] + 
     10880*S[-5, -1, -1, -1, Infinity] + 4800*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 49280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, -1, 1, -1, 1, 2, Infinity] -> 
  (-11*S[-1, Infinity]^8)/1440 - (113*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (9119*S[2, Infinity]^4)/39200 + 
   ((-1289*S[-1, Infinity]^2)/896 + (1037*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1391*S[-1, Infinity]^3)/384 - 
     (431*S[-1, Infinity]*S[2, Infinity])/28 - (9707*S[3, Infinity])/7168)*
    S[5, Infinity] + (26373*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/2240 - 
     (124*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((121*S[-1, Infinity]^5)/420 - 
     (1313*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (23133*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (57*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(15*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/315 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (587*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (569*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((23*S[-1, Infinity]^2)/16 + (3119*S[2, Infinity])/896)*S[5, Infinity] - 
     (16881*S[7, Infinity])/7168 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 + (801*S[2, Infinity]^2)/
        560 + (5*S[-1, 1, 1, 1, Infinity])/2) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^5/48 - 
       S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-9*S[-5, -1, Infinity] + 
        35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-34368*S[-7, -1, Infinity] + 5097*S[5, 3, Infinity] + 
     256*S[-5, -1, -1, -1, Infinity] - 2048*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, -1, 1, 1, -1, -2, Infinity] -> 
  (19*S[-1, Infinity]^8)/1440 - (193*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (38127*S[2, Infinity]^4)/22400 + 
   ((-13*S[-1, Infinity]^2)/256 + (5*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((13*S[-1, Infinity]^3)/8 + (7*S[-1, Infinity]*S[2, Infinity])/16 - 
     (1055*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/80 - (11*S[-1, 1, 1, 1, Infinity])/
      20) - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/15 + (S[-1, Infinity]^3*S[2, Infinity])/
      96 - (967*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((-89*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (7*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1680 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
     (421*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1395*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-33*S[-1, Infinity]^2)/128 + (6437*S[2, Infinity])/896)*
      S[5, Infinity] - (184237*S[7, Infinity])/7168 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (7579*S[2, Infinity]^2)/
        2240 + (29*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(15*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-20*S[-5, 1, 1, Infinity] - 83*S[5, -1, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-5696*S[-7, -1, Infinity] - 2423*S[5, 3, Infinity] - 
     1024*S[-5, -1, -1, -1, Infinity] + 1536*S[-1, 1, 1, 1, Infinity]^2 + 
     14336*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/512, 
 S[1, -1, -1, 1, 1, -1, 2, Infinity] -> (37*S[-1, Infinity]^8)/2520 + 
   (731*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (261509*S[2, Infinity]^4)/392000 + 
   ((233*S[-1, Infinity]^2)/896 + (8571*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-71*S[-1, Infinity]^3)/128 - 
     (15963*S[-1, Infinity]*S[2, Infinity])/896 + (84559*S[3, Infinity])/
      7168)*S[5, Infinity] + (44445*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((33*S[-1, Infinity]^4)/280 + 
     (39*S[-1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-163*S[-1, Infinity]^5)/6720 - 
     (251*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3855*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (3*S[-1, Infinity]^2*(59*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-9*S[-1, Infinity]^6)/160 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (299*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-3*S[-1, Infinity]^7)/280 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (489*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1355*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((123*S[-1, Infinity]^2)/64 + (5597*S[2, Infinity])/448)*
      S[5, Infinity] - (273127*S[7, Infinity])/7168 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 + 
       (27*S[-1, Infinity]^2*S[2, Infinity])/16 + (16*S[2, Infinity]^2)/7 + 
       (17*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/60 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(89*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-19*S[-5, 1, 1, Infinity] - 145*S[5, -1, -1, Infinity] - 
       252*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 62*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1380160*S[-7, -1, Infinity] - 142057*S[5, 3, Infinity] - 
     139520*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2 + 967680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, 1, 1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^8/1440 + (61*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (3437541*S[2, Infinity]^4)/784000 + 
   ((1467*S[-1, Infinity]^2)/896 + (963*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-709*S[-1, Infinity]^3)/384 - 
     (2071*S[-1, Infinity]*S[2, Infinity])/896 + (519*S[3, Infinity])/448)*
    S[5, Infinity] + (49611*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1013*S[-1, Infinity]^4)/6720 + 
     (267*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/1120 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1663*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (177*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (3*S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (501*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/840 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (47*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     ((123*S[-1, Infinity]^2)/64 - (27*S[2, Infinity])/64)*S[5, Infinity] - 
     (2151*S[7, Infinity])/256 + S[3, Infinity]*(S[-1, Infinity]^4/24 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/4 - (33*S[2, Infinity]^2)/40 - 
       2*S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     S[2, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     S[-1, Infinity]*(-2*S[-5, -1, Infinity] - 
       3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (5*S[-5, 1, 1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-119760*S[-7, -1, Infinity] - 10243*S[5, 3, Infinity] - 
     960*S[-5, -1, -1, -1, Infinity] - 15840*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, -1, -1, 1, 1, 1, 2, Infinity] -> (-53*S[-1, Infinity]^8)/40320 + 
   (207*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (380803*S[2, Infinity]^4)/784000 + 
   ((-983*S[-1, Infinity]^2)/1792 - (1927*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/3 + 
     (155*S[-1, Infinity]*S[2, Infinity])/28 + (13933*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*(S[-1, Infinity]^4/112 + 
     (47*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((419*S[-1, Infinity]^5)/6720 - (9*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (8319*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (195*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (47*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/560 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (15*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (-S[-1, Infinity]^4/24 - (S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (149*S[2, Infinity]^2)/112)*S[3, Infinity] - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-33*S[-1, Infinity]^2)/128 - (2321*S[2, Infinity])/896)*
      S[5, Infinity] + (19497*S[7, Infinity])/3584 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 + S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-13*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
       252*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (23360*S[-7, -1, Infinity] + 65433*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] + 
     896000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, -1, -1, -2, Infinity] -> (-61*S[-1, Infinity]^8)/20160 - 
   (2987*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2012629*S[2, Infinity]^4)/1176000 + 
   ((219*S[-1, Infinity]^2)/56 + (1921*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((529*S[-1, Infinity]^3)/192 - 
     (36805*S[-1, Infinity]*S[2, Infinity])/896 - (1527*S[3, Infinity])/448)*
    S[5, Infinity] - (22515*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-151*S[-1, Infinity]^4)/2240 + 
     (167*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((467*S[-1, Infinity]^5)/3360 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (5059*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (355*S[-1, 1, 1, 1, 1, Infinity])/28) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(543*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1165*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/240 - (S[-1, Infinity]^5*S[2, Infinity])/
      48 - (S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (149*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (-S[-1, Infinity]^4/24 - (7*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (131*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (1943*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1021*S[-1, Infinity]^2)/128 + (601*S[2, Infinity])/56)*
      S[5, Infinity] - (95731*S[7, Infinity])/3584 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(11*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (47*S[-5, 1, 1, Infinity] - 65*S[5, -1, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1012640*S[-7, -1, Infinity] - 173939*S[5, 3, Infinity] - 
     159360*S[-5, -1, -1, -1, Infinity] - 53440*S[-5, -1, 1, 1, Infinity] + 
     304640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, -1, 1, -1, -1, -1, 2, Infinity] -> (-7*S[-1, Infinity]^8)/1920 - 
   (681*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (68699*S[2, Infinity]^4)/1176000 + 
   ((4743*S[-1, Infinity]^2)/1792 + (32205*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-29*S[-1, Infinity]^3)/192 - 
     (50347*S[-1, Infinity]*S[2, Infinity])/896 - (148999*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/840 + 
     (29*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((55*S[-1, Infinity]^5)/448 - (1385*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (15909*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (601*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((19*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (787*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(309*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/210 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (667*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/24 + (13*S[-1, Infinity]^2*S[2, Infinity])/8 + 
       (166*S[2, Infinity]^2)/35)*S[3, Infinity] - 
     (1343*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1393*S[-1, Infinity]^2)/128 + (29593*S[2, Infinity])/896)*
      S[5, Infinity] - (275851*S[7, Infinity])/3584 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) - (S[-1, Infinity]*(41*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (16*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
       119*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-4250560*S[-7, -1, Infinity] - 834529*S[5, 3, Infinity] - 
     656640*S[-5, -1, -1, -1, Infinity] - 185600*S[-5, -1, 1, 1, Infinity] + 
     1254400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, -1, 1, -2, Infinity] -> (-337*S[-1, Infinity]^8)/40320 - 
   (3777*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1031197*S[2, Infinity]^4)/784000 + 
   ((2435*S[-1, Infinity]^2)/1792 + (24791*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-29*S[-1, Infinity]^3)/192 - 
     (46999*S[-1, Infinity]*S[2, Infinity])/896 - (119517*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((563*S[-1, Infinity]^4)/3360 + 
     (11*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/336 - 
     (1241*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (14403*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (149*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (233*S[-5, -1, Infinity] - 63*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(257*S[-5, -1, Infinity] - 
      126*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/1260 - 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (303*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (391*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((1393*S[-1, Infinity]^2)/128 + (3221*S[2, Infinity])/128)*
      S[5, Infinity] - (24253*S[7, Infinity])/512 + 6*S[-5, 1, 1, Infinity] - 
     5*S[5, -1, -1, Infinity] + S[3, Infinity]*((37*S[-1, Infinity]^4)/192 - 
       (35*S[-1, Infinity]^2*S[2, Infinity])/32 - (83*S[2, Infinity]^2)/320 - 
       (19*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/10 - 
       (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       5*S[-1, 1, 1, 1, 1, Infinity]) - 
     (9*S[-1, Infinity]*(-S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
     18*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-4184000*S[-7, -1, Infinity] - 600167*S[5, 3, Infinity] - 
     523520*S[-5, -1, -1, -1, Infinity] - 318720*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, -1, -1, 1, 2, Infinity] -> 
  (-23*S[-1, Infinity]^8)/4480 - (2257*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (756831*S[2, Infinity]^4)/392000 + 
   ((-1345*S[-1, Infinity]^2)/448 + (28047*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((529*S[-1, Infinity]^3)/192 - 
     (36649*S[-1, Infinity]*S[2, Infinity])/896 - (1171*S[3, Infinity])/56)*
    S[5, Infinity] - (3783*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-277*S[-1, Infinity]^4)/1120 - 
     (207*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((1129*S[-1, Infinity]^5)/2240 - 
     (207*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (41207*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (577*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((61*S[-1, Infinity]^6)/720 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-137*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(691*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/5040 + 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (75*S[-1, Infinity]*S[2, Infinity]^3)/112 - 
     (817*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((1021*S[-1, Infinity]^2)/128 + (11621*S[2, Infinity])/896)*
      S[5, Infinity] - (139507*S[7, Infinity])/3584 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-13*S[-1, Infinity]^4)/96 + 
       (25*S[-1, Infinity]^2*S[2, Infinity])/32 + (6037*S[2, Infinity]^2)/
        2240 + (25*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/80 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*(11*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (18*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity] - 
       105*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-1992000*S[-7, -1, Infinity] - 361359*S[5, 3, Infinity] - 
     252160*S[-5, -1, -1, -1, Infinity] - 173440*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 627200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 1, -1, 1, -1, -2, Infinity] -> 
  (163*S[-1, Infinity]^8)/40320 - (409*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (129629*S[2, Infinity]^4)/49000 + 
   ((1065*S[-1, Infinity]^2)/1792 + (23411*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((135*S[-1, Infinity]^3)/64 - 
     (30043*S[-1, Infinity]*S[2, Infinity])/896 - (143263*S[3, Infinity])/
      7168)*S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((349*S[-1, Infinity]^4)/1120 + 
     (131*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/56 - (719*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (12323*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (241*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/160 + (1713*S[-5, -1, Infinity])/
      56 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(487*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/2520 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/40 - 
     (797*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((959*S[-1, Infinity]^2)/128 + (14897*S[2, Infinity])/896)*
      S[5, Infinity] - (159009*S[7, Infinity])/3584 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/192 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/32 + (5869*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/40 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (32*S[-5, 1, 1, Infinity] - 45*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-3575360*S[-7, -1, Infinity] - 627381*S[5, 3, Infinity] - 
     426240*S[-5, -1, -1, -1, Infinity] - 353280*S[-5, -1, 1, 1, Infinity] + 
     1182720*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, 1, -1, 2, Infinity] -> (47*S[-1, Infinity]^8)/10080 - 
   (1391*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1656789*S[2, Infinity]^4)/784000 + 
   ((-333*S[-1, Infinity]^2)/448 + (24609*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((321*S[-1, Infinity]^3)/64 - 
     (32293*S[-1, Infinity]*S[2, Infinity])/896 - (4695*S[3, Infinity])/224)*
    S[5, Infinity] - (63699*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((377*S[-1, Infinity]^4)/6720 + 
     (121*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/420 - (255*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (359*S[-1, Infinity]*S[2, Infinity]^2)/28 - 
     (263*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-67*S[-1, Infinity]^6)/1440 + (205*S[-5, -1, Infinity])/
      7 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(145*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-29*S[-1, Infinity]^7)/5040 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (347*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (467*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((587*S[-1, Infinity]^2)/128 + (3791*S[2, Infinity])/224)*
      S[5, Infinity] - (254319*S[7, Infinity])/7168 + 
     S[3, Infinity]*((11*S[-1, Infinity]^4)/192 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/8 + (1483*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/20 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(59*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (95*S[-5, 1, 1, Infinity] - 129*S[5, -1, -1, Infinity] - 
       364*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-111640*S[-7, -1, Infinity] - 19553*S[5, 3, Infinity] - 
     14400*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[1, -1, 1, -1, 1, 1, -2, Infinity] -> (-13*S[-1, Infinity]^8)/4480 - 
   (1543*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (359283*S[2, Infinity]^4)/784000 + 
   ((453*S[-1, Infinity]^2)/224 + (659*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((83*S[-1, Infinity]^3)/32 - (11313*S[-1, Infinity]*S[2, Infinity])/448 - 
     (31027*S[3, Infinity])/3584)*S[5, Infinity] - 
   (216943*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-111*S[-1, Infinity]^4)/1120 + 
     (617*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/1344 - 
     (331*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (9621*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (179*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (305*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(363*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/5040 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (579*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((587*S[-1, Infinity]^2)/128 + (5231*S[2, Infinity])/896)*
      S[5, Infinity] - (119051*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/192 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/32 - (99*S[2, Infinity]^2)/280 - 
       (9*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-11*S[-5, -1, Infinity] - 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (60*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity] - 
       280*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1568960*S[-7, -1, Infinity] - 264821*S[5, 3, Infinity] - 
     212480*S[-5, -1, -1, -1, Infinity] - 114560*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 519680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, -1, 1, -1, 1, 1, 2, Infinity] -> 
  (-107*S[-1, Infinity]^8)/40320 - (1191*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1433263*S[2, Infinity]^4)/784000 + 
   ((2661*S[-1, Infinity]^2)/1792 + (21969*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]^3)/16 - 
     (929*S[-1, Infinity]*S[2, Infinity])/28 - (94179*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((151*S[-1, Infinity]^4)/3360 + 
     (283*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((803*S[-1, Infinity]^5)/6720 - 
     (971*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (47937*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (579*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(177*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (657*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/20 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/5 - 
     (489*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((959*S[-1, Infinity]^2)/128 + (14967*S[2, Infinity])/896)*
      S[5, Infinity] - (167997*S[7, Infinity])/3584 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/48 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/8 + (1399*S[2, Infinity]^2)/560 + 
       (3*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/120 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] - 
        70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (51*S[-5, 1, 1, Infinity] - 152*S[5, -1, -1, Infinity] - 
       364*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-3140800*S[-7, -1, Infinity] - 531327*S[5, 3, Infinity] - 
     390400*S[-5, -1, -1, -1, Infinity] - 254720*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, 1, 1, -1, -1, -2, Infinity] -> 
  (29*S[-1, Infinity]^8)/13440 + (263*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (160793*S[2, Infinity]^4)/147000 + 
   ((-351*S[-1, Infinity]^2)/896 - (783*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-29*S[-1, Infinity]^3)/192 + 
     (18233*S[-1, Infinity]*S[2, Infinity])/896 + (33307*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((-547*S[-1, Infinity]^4)/3360 + (141*S[-1, 1, 1, 1, Infinity])/140) - 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/672 + 
     (103*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (5513*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (327*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-169*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-787*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(S[-1, Infinity]^7/140 + 
     (71*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (103*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (2309*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-171*S[-1, Infinity]^2)/32 - (6169*S[2, Infinity])/448)*
      S[5, Infinity] + (17903*S[7, Infinity])/896 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-11*S[-1, Infinity]^4)/48 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/4 + (271*S[2, Infinity]^2)/112 + 
       (9*S[-1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
      ((-19*S[-1, Infinity]^5)/120 + (9*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 6*S[-1, 1, 1, 1, 1, Infinity]) + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*S[-1, Infinity]*(8*S[-5, -1, Infinity] + 
        35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-141*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
       364*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (181520*S[-7, -1, Infinity] + 16147*S[5, 3, Infinity] + 
     14720*S[-5, -1, -1, -1, Infinity] + 17760*S[-5, -1, 1, 1, Infinity] + 
     20160*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, -1, 1, 1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/5760 + (1277*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2766577*S[2, Infinity]^4)/2352000 + 
   ((1641*S[-1, Infinity]^2)/448 - (1809*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-61*S[-1, Infinity]^3)/96 + 
     (11275*S[-1, Infinity]*S[2, Infinity])/896 + (36045*S[3, Infinity])/
      3584)*S[5, Infinity] - (62743*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((143*S[-1, Infinity]^4)/840 + 
     (417*S[-1, 1, 1, 1, Infinity])/280) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-1763*S[-1, Infinity]^5)/6720 + (471*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (18383*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (311*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-113*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-309*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(87*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/1680 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (327*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (569*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-311*S[-1, Infinity]^2)/64 - (1825*S[2, Infinity])/224)*
      S[5, Infinity] + (205967*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/192 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/32 - (261*S[2, Infinity]^2)/140 - 
       (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - S[-1, 1, 1, 1, 1, Infinity]) + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-23*S[-5, -1, Infinity] + 
        280*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-54*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] + 
       448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (315040*S[-7, -1, Infinity] + 50119*S[5, 3, Infinity] + 
     18560*S[-5, -1, -1, -1, Infinity] + 44160*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 98560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, 1, 1, -1, 1, -2, Infinity] -> 
  (-13*S[-1, Infinity]^8)/6720 + (43*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (128529*S[2, Infinity]^4)/112000 + 
   ((-1931*S[-1, Infinity]^2)/896 - (415*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-113*S[-1, Infinity]^3)/64 + 
     (7435*S[-1, Infinity]*S[2, Infinity])/448 + (481*S[3, Infinity])/1024)*
    S[5, Infinity] + (139179*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/960 - S[-1, 1, 1, 1, Infinity]/
      2) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/480 - 
     (35*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (12983*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/288 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-55*S[-5, -1, Infinity] - 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (3*S[-1, Infinity]^2*(79*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-39*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/5040 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (181*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (407*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-311*S[-1, Infinity]^2)/64 - (183*S[2, Infinity])/16)*S[5, Infinity] + 
     (13331*S[7, Infinity])/512 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/64 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 + (31*S[2, Infinity]^2)/160 + 
       (7*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/240 + S[-1, Infinity]*S[-1, 1, 1, 1, 
         Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*(-S[-5, -1, Infinity] + 
       9*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (-7*S[-5, 1, 1, Infinity] + 7*S[5, -1, -1, Infinity] + 
       30*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (201920*S[-7, -1, Infinity] + 34109*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, -1, 1, 1, -1, 1, 2, Infinity] -> (-103*S[-1, Infinity]^8)/40320 + 
   (2607*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (287593*S[2, Infinity]^4)/784000 + 
   ((-131*S[-1, Infinity]^2)/224 - (13609*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-41*S[-1, Infinity]^3)/32 + 
     (5891*S[-1, Infinity]*S[2, Infinity])/224 + (76445*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*(-S[-1, Infinity]^4/168 - 
     S[-1, 1, 1, 1, Infinity]/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-403*S[-1, Infinity]^5)/6720 + 
     (101*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (34263*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (151*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-349*S[-5, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-67*S[-5, -1, Infinity] + 
       21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*(S[-1, Infinity]^7/315 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (1329*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (1289*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-171*S[-1, Infinity]^2)/32 - (4581*S[2, Infinity])/224)*
      S[5, Infinity] + (325813*S[7, Infinity])/7168 + 
     S[3, Infinity]*((3*S[-1, Infinity]^4)/64 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 - (757*S[2, Infinity]^2)/
        280 - (5*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/40 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-67*S[-5, -1, Infinity] + 
        252*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-59*S[-5, 1, 1, Infinity] + 151*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1605440*S[-7, -1, Infinity] + 363813*S[5, 3, Infinity] + 
     285440*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] - 
     322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 1, 1, -1, -2, Infinity] -> (33*S[-1, Infinity]^8)/4480 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (63531*S[2, Infinity]^4)/
    156800 + ((-589*S[-1, Infinity]^2)/896 - (517*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-91*S[-1, Infinity]^3)/192 + 
     (187*S[-1, Infinity]*S[2, Infinity])/112 + (28835*S[3, Infinity])/7168)*
    S[5, Infinity] + (401*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/280 - 
     (131*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-99*S[-1, Infinity]^5)/2240 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2469*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/240 + (123*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((-19*S[-1, Infinity]^7)/1680 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (57*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-63*S[-1, Infinity]^2)/64 - (67*S[2, Infinity])/16)*S[5, Infinity] + 
     (10303*S[7, Infinity])/1024 + S[3, Infinity]*
      ((13*S[-1, Infinity]^4)/96 - (19*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (193*S[2, Infinity]^2)/160 - (13*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/40 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-3*S[-5, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-25408*S[-7, -1, Infinity] + 10039*S[5, 3, Infinity] + 
     14592*S[-5, -1, -1, -1, Infinity] - 9216*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 + 50176*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, 1, 1, 1, -1, 2, Infinity] -> 
  (79*S[-1, Infinity]^8)/13440 + (169*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (173897*S[2, Infinity]^4)/112000 + 
   ((63*S[-1, Infinity]^2)/128 - (49*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/96 + (217*S[-1, Infinity]*S[2, Infinity])/64 - 
     (6423*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]^2*((25*S[-1, Infinity]^4)/96 - (3*S[-1, 1, 1, 1, Infinity])/
      20) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/192 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (779*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/8) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-23*S[-1, Infinity]^6)/360 + 3*S[-5, -1, Infinity] + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-3*S[-1, Infinity]^7)/280 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/30 - 
     (59*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (217*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-47*S[-1, Infinity]^2)/32 - (145*S[2, Infinity])/64)*S[5, Infinity] + 
     (11105*S[7, Infinity])/1024 + S[3, Infinity]*
      ((13*S[-1, Infinity]^4)/64 - (53*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (41*S[2, Infinity]^2)/20 - (13*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/60 - 
       (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-7*S[-5, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (5*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-7360*S[-7, -1, Infinity] + 6777*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] - 8960*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 + 40960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, -1, 1, 1, 1, 1, -2, Infinity] -> 
  (-11*S[-1, Infinity]^8)/13440 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (3361*S[2, Infinity]^4)/11200 + (-S[-1, Infinity]^2/2 - S[2, Infinity]/2)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/3 + 
     (S[-1, Infinity]*S[2, Infinity])/2 + (847*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]^2*(S[-1, Infinity]^4/480 - 
     S[-1, 1, 1, 1, Infinity]/5) + S[3, Infinity]*((3*S[-1, Infinity]^5)/40 - 
     (S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/10 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-5*S[-5, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(S[-1, Infinity]^7/840 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/20 + 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((-47*S[-1, Infinity]^2)/32 + (15*S[2, Infinity])/32)*S[5, Infinity] + 
     (251*S[7, Infinity])/128 - S[-5, 1, 1, Infinity] + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/2 + (2*S[2, Infinity]^2)/5 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]*
      (S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (384*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] + 1280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[1, -1, 1, 1, 1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/5040 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (106143*S[2, Infinity]^4)/784000 + 
   ((101*S[-1, Infinity]^2)/448 + (401*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-29*S[-1, Infinity]^3)/192 - 
     (1415*S[-1, Infinity]*S[2, Infinity])/448 + (883*S[3, Infinity])/3584)*
    S[5, Infinity] + (379*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/448 - 
     (27*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((29*S[-1, Infinity]^5)/1680 - (29*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (577*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 + 
     (-115*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-2*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*(S[-1, Infinity]^7/1680 - 
     (S[-1, Infinity]^5*S[2, Infinity])/120 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (S[-1, Infinity]*S[2, Infinity]^3)/5 + 
     (-S[-1, Infinity]^4/24 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
       (3*S[2, Infinity]^2)/8)*S[3, Infinity] + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-63*S[-1, Infinity]^2)/64 + (31*S[2, Infinity])/64)*S[5, Infinity] + 
     (123*S[7, Infinity])/256 - (S[-1, Infinity]*(S[-5, -1, Infinity] + 
        2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
     (-S[-5, 1, 1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-10880*S[-7, -1, Infinity] - 11901*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -1, -1, -1, -2, Infinity] -> (-61*S[-1, Infinity]^8)/40320 - 
   (2529*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1141303*S[2, Infinity]^4)/196000 + 
   ((1513*S[-1, Infinity]^2)/896 + (761*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1331*S[-1, Infinity]^3)/384 + 
     (1549*S[-1, Infinity]*S[2, Infinity])/896 + (6481*S[3, Infinity])/896)*
    S[5, Infinity] + S[1, Infinity]^2*(-(S[-1, Infinity]^4*S[2, Infinity])/
      96 - (3*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - 
     (57*S[2, Infinity]^3)/224 + (-S[-1, Infinity]^3/12 - 
       (3*S[-1, Infinity]*S[2, Infinity])/16)*S[3, Infinity] + 
     S[3, Infinity]^2/8 - (S[-1, Infinity]*S[5, Infinity])/2) - 
   (135993*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-523*S[-1, Infinity]^4)/1680 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/140 + (295*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (4791*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/1440 + 
     (-653*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(-33*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 110*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/504 + 
     (107*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (537*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (S[-1, Infinity]^4/8 - (S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (1693*S[2, Infinity]^2)/1120)*S[3, Infinity] + 
     (363*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-77*S[-1, Infinity]^2)/32 - (347*S[2, Infinity])/112)*S[5, Infinity] + 
     (72655*S[7, Infinity])/3584 - 
     (S[-1, Infinity]*(85*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-16*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
       77*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (95440*S[-7, -1, Infinity] + 5251*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] - 
     138880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, 1, -1, -1, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/1344 - 
   (305*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (34941*S[2, Infinity]^4)/12250 + ((1535*S[-1, Infinity]^2)/896 + 
     (283*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/6 - (110*S[-1, Infinity]*S[2, Infinity])/7 - 
     (25419*S[3, Infinity])/3584)*S[5, Infinity] + 
   (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/140 - 
     (32*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-53*S[-1, Infinity]^5)/420 - (47*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (6491*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (64*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/1440 - 
     (3*(159*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/480 - 
     (S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (99*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^3/12 - (3*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] + (13*S[3, Infinity]^2)/128 - 
     (S[-1, Infinity]*S[5, Infinity])/2 + 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/420 + 
     (S[-1, Infinity]^5*S[2, Infinity])/60 + 
     (67*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (199*S[-1, Infinity]*S[2, Infinity]^3)/112 + 
     (S[-1, Infinity]^4/8 + (13*S[-1, Infinity]^2*S[2, Infinity])/8 + 
       (349*S[2, Infinity]^2)/140)*S[3, Infinity] + 
     (121*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((157*S[-1, Infinity]^2)/128 + (10105*S[2, Infinity])/896)*
      S[5, Infinity] - (31669*S[7, Infinity])/1792 - 
     (69*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (3*(23*S[-5, 1, 1, Infinity] + 30*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (68800*S[-7, -1, Infinity] - 79847*S[5, 3, Infinity] - 
     90880*S[-5, -1, -1, -1, Infinity] + 81920*S[-5, -1, 1, 1, Infinity] - 
     537600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -1, -1, 1, -2, Infinity] -> -S[-1, Infinity]^8/252 - 
   (1371*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (13432693*S[2, Infinity]^4)/2352000 + 
   ((2105*S[-1, Infinity]^2)/1792 + (2655*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/192 - 
     (13371*S[-1, Infinity]*S[2, Infinity])/448 - (45407*S[3, Infinity])/
      7168)*S[5, Infinity] + (209*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/420 - 
     (124*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-81*S[-1, Infinity]^5)/1120 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (34249*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/160 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-619*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/1440 - 
     (13*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (41*S[2, Infinity]^3)/112 + 
     (-S[-1, Infinity]^3/96 - (47*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (189*S[3, Infinity]^2)/256 - 
     (125*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      ((7*S[-1, Infinity]^4)/96 - (5*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-9*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/2520 + 
     (97*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (2883*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (221*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((529*S[-1, Infinity]^2)/128 + (20071*S[2, Infinity])/896)*
      S[5, Infinity] - (267633*S[7, Infinity])/7168 - 
     (47*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (97*S[-1, Infinity]^2*S[2, Infinity])/32 + (5771*S[2, Infinity]^2)/
        1120 + (17*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) + (-94*S[-5, 1, 1, Infinity] - 
       157*S[5, -1, -1, Infinity] + 308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-158400*S[-7, -1, Infinity] - 151811*S[5, 3, Infinity] - 
     267520*S[-5, -1, -1, -1, Infinity] + 195840*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1039360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, -1, -1, 1, 2, Infinity] -> 
  (-73*S[-1, Infinity]^8)/20160 - (1751*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1254241*S[2, Infinity]^4)/235200 + 
   ((2127*S[-1, Infinity]^2)/448 + (3349*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1145*S[-1, Infinity]^3)/384 + 
     (227*S[-1, Infinity]*S[2, Infinity])/896 + (51203*S[3, Infinity])/7168)*
    S[5, Infinity] - (47153*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-233*S[-1, Infinity]^4)/1120 + 
     (139*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-179*S[-1, Infinity]^5)/840 + 
     (1453*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (27339*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (655*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(41*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (7*S[2, Infinity]^3)/80 + 
     (-S[-1, Infinity]^3/96 + (11*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (129*S[3, Infinity]^2)/128 - 
     (125*S[-1, Infinity]*S[5, Infinity])/64 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-3*S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-183*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(47*S[-5, 1, 1, Infinity] + 152*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(S[-1, Infinity]^7/84 + 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1949*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (1473*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     (S[-1, Infinity]^2/2 - (2197*S[2, Infinity])/896)*S[5, Infinity] + 
     (109591*S[7, Infinity])/7168 + S[3, Infinity]*
      ((7*S[-1, Infinity]^4)/192 - (41*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (607*S[2, Infinity]^2)/448 - S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(17*S[-5, -1, Infinity] + 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-47*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
       280*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (93504*S[-7, -1, Infinity] - 17011*S[5, 3, Infinity] - 
     39680*S[-5, -1, -1, -1, Infinity] + 43264*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 1, -1, -1, 1, -1, -2, Infinity] -> 
  (-67*S[-1, Infinity]^8)/6720 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (562903*S[2, Infinity]^4)/392000 + 
   ((-459*S[-1, Infinity]^2)/1792 + (127*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/128 - 
     (711*S[-1, Infinity]*S[2, Infinity])/896 - (9285*S[3, Infinity])/7168)*
    S[5, Infinity] - (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/112 + 
     (32*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/672 + 
     (101*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1895*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (15*(-S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/32 + S[2, Infinity]^3/224 + 
     ((13*S[-1, Infinity]^3)/96 - (S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (115*S[3, Infinity]^2)/256 - 
     (33*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      ((5*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((53*S[-1, Infinity]^7)/2520 - 
     (53*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (89*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (95*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((95*S[-1, Infinity]^2)/128 - (211*S[2, Infinity])/56)*S[5, Infinity] + 
     (55595*S[7, Infinity])/3584 + (19*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[3, Infinity]*((-25*S[-1, Infinity]^4)/192 - 
       (13*S[-1, Infinity]^2*S[2, Infinity])/16 - (499*S[2, Infinity]^2)/
        224 - (7*S[-1, 1, 1, 1, Infinity])/4) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/80 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (19*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity] + 
       182*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (146880*S[-7, -1, Infinity] + 143839*S[5, 3, Infinity] + 
     65280*S[-5, -1, -1, -1, Infinity] - 74240*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1146880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, -1, 1, -1, 2, Infinity] -> 
  (-493*S[-1, Infinity]^8)/40320 - (1499*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (90189*S[2, Infinity]^4)/112000 + 
   ((-2843*S[-1, Infinity]^2)/896 - (231*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((227*S[-1, Infinity]^3)/64 + 
     (3727*S[-1, Infinity]*S[2, Infinity])/224 - (16023*S[3, Infinity])/1024)*
    S[5, Infinity] - (106923*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/24 + S[-1, 1, 1, 1, Infinity]/
      2) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/64 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (9389*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/60 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (31*S[2, Infinity]^3)/140 + 
     ((13*S[-1, Infinity]^3)/96 + (5*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] - (91*S[3, Infinity]^2)/128 - 
     (33*S[-1, Infinity]*S[5, Infinity])/128 + (7*S[-5, -1, Infinity])/8 + 
     S[2, Infinity]*((5*S[-1, Infinity]^4)/96 + S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/160 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (13*S[-5, -1, Infinity] - 36*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(19*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((8*S[-1, Infinity]^7)/315 + 
     (77*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1619*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (297*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-185*S[-1, Infinity]^2)/64 - (577*S[2, Infinity])/64)*S[5, Infinity] + 
     (31159*S[7, Infinity])/1024 + S[3, Infinity]*
      ((-25*S[-1, Infinity]^4)/192 - (47*S[-1, Infinity]^2*S[2, Infinity])/
        32 - (121*S[2, Infinity]^2)/320 - (7*S[-1, 1, 1, 1, Infinity])/4) - 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/120 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]*(-3*S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (13*S[5, -1, -1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (141120*S[-7, -1, Infinity] + 5571*S[5, 3, Infinity] + 
     11520*S[-5, -1, -1, -1, Infinity] - 5120*S[-1, 1, 1, 1, Infinity]^2 - 
     168960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, 1, -1, -1, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/960 - 
   (4497*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2428771*S[2, Infinity]^4)/392000 + 
   ((-265*S[-1, Infinity]^2)/112 - (571*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1393*S[-1, Infinity]^3)/384 + 
     (6225*S[-1, Infinity]*S[2, Infinity])/896 - (4113*S[3, Infinity])/896)*
    S[5, Infinity] - (243717*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/420 - 
     (46*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-117*S[-1, Infinity]^5)/2240 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1669*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-123*S[-5, -1, Infinity] - 182*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 - 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (47*S[2, Infinity]^3)/70 + 
     (-S[-1, Infinity]^3/12 - (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] - (3*S[3, Infinity]^2)/8 - 
     (S[-1, Infinity]*S[5, Infinity])/64 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(155*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/2520 + 
     (59*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (291*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (713*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-27*S[-1, Infinity]^2)/8 - (1271*S[2, Infinity])/448)*S[5, Infinity] + 
     (94749*S[7, Infinity])/3584 + S[3, Infinity]*((3*S[-1, Infinity]^4)/32 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 + (5*S[2, Infinity]^2)/56 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*S[-1, Infinity]*(45*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
       210*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (105120*S[-7, -1, Infinity] + 8761*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[1, 1, -1, -1, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/240 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/32 - S[2, Infinity]^4/14 - 
   (25*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (-S[-1, Infinity]^3/192 - (S[-1, Infinity]*S[2, Infinity])/64)*
    S[5, Infinity] + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/480 + 
     (13*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/12 - (S[-1, Infinity]*S[2, Infinity]^2)/
      4 + 4*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/160 - (S[-1, Infinity]^2*S[2, Infinity]^2)/32 - 
     S[2, Infinity]^3/14 + (-S[-1, Infinity]^3/12 - 
       (S[-1, Infinity]*S[2, Infinity])/4)*S[3, Infinity] - 
     (25*S[3, Infinity]^2)/64 - (S[-1, Infinity]*S[5, Infinity])/64 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/32 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/1260 + 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (349*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((33*S[-1, Infinity]^2)/128 + (2545*S[2, Infinity])/896)*
      S[5, Infinity] - (54219*S[7, Infinity])/7168 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((25*S[-1, Infinity]^4)/192 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 + (759*S[2, Infinity]^2)/
        560 - S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       4*S[-1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-20*S[-5, 1, 1, Infinity] - 
       27*S[5, -1, -1, Infinity] + 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (S[-1, 1, 1, 1, Infinity]^2 - 
     70*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2, 
 S[1, 1, -1, 1, -1, -1, -2, Infinity] -> (7*S[-1, Infinity]^8)/576 + 
   (2083*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2006819*S[2, Infinity]^4)/2352000 + 
   ((-1235*S[-1, Infinity]^2)/896 - (5923*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((247*S[-1, Infinity]^3)/192 + 
     (19457*S[-1, Infinity]*S[2, Infinity])/448 + (14265*S[3, Infinity])/896)*
    S[5, Infinity] - (187*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-397*S[-1, Infinity]^4)/1680 + 
     (47*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/336 + 
     (149*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (37439*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (221*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-617*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/60 + 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (187*S[2, Infinity]^3)/
      1120 + (-S[-1, Infinity]^3/12 + (13*S[-1, Infinity]*S[2, Infinity])/8)*
      S[3, Infinity] - (35*S[3, Infinity]^2)/128 + 
     (247*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/12 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (29*S[-5, -1, Infinity] - 36*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-41*S[-1, Infinity]^7)/1680 + 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (405*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-511*S[-1, Infinity]^2)/32 - (15401*S[2, Infinity])/448)*
      S[5, Infinity] + (544637*S[7, Infinity])/7168 - 
     (81*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((9*S[-1, Infinity]^4)/64 - 
       (63*S[-1, Infinity]^2*S[2, Infinity])/32 - (2483*S[2, Infinity]^2)/
        560 - (3*S[-1, 1, 1, 1, Infinity])/8) + S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((11*S[-1, Infinity]^5)/240 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       3*S[-1, 1, 1, 1, 1, Infinity]) - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-81*S[-5, 1, 1, Infinity] + 269*S[5, -1, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (436480*S[-7, -1, Infinity] + 77309*S[5, 3, Infinity] + 
     59840*S[-5, -1, -1, -1, Infinity] + 28640*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2 - 156800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, 1, -1, -1, 2, Infinity] -> 
  (7*S[-1, Infinity]^8)/960 + (2413*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (15877*S[2, Infinity]^4)/470400 + 
   ((-7041*S[-1, Infinity]^2)/1792 - (29829*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((587*S[-1, Infinity]^3)/384 + 
     (44423*S[-1, Infinity]*S[2, Infinity])/896 + (57879*S[3, Infinity])/
      7168)*S[5, Infinity] + (122195*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/560 - 
     (46*S[-1, 1, 1, 1, Infinity])/35) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-599*S[-1, Infinity]^5)/3360 + 
     (139*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (59611*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (757*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/480 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-289*S[-5, -1, Infinity] - 63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/480 - 
     (5*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (157*S[2, Infinity]^3)/1120 + 
     (-S[-1, Infinity]^3/12 - (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (97*S[3, Infinity]^2)/64 + 
     (247*S[-1, Infinity]*S[5, Infinity])/64 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (17*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-479*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-22*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-101*S[-1, Infinity]^7)/5040 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (49*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (3173*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-2075*S[-1, Infinity]^2)/128 - (10825*S[2, Infinity])/448)*
      S[5, Infinity] + (211221*S[7, Infinity])/3584 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/32 - (559*S[2, Infinity]^2)/224 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) + S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] - (5*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, 1, Infinity])/2 + S[2, Infinity]*
      ((7*S[-1, Infinity]^5)/60 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(19*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-103*S[-5, 1, 1, Infinity] + 254*S[5, -1, -1, Infinity] + 
       476*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (777024*S[-7, -1, Infinity] + 133649*S[5, 3, Infinity] + 
     112384*S[-5, -1, -1, -1, Infinity] + 47104*S[-5, -1, 1, 1, Infinity] - 
     258048*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, 1, -1, 1, -1, 1, -2, Infinity] -> (209*S[-1, Infinity]^8)/40320 + 
   (127*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (1055389*S[2, Infinity]^4)/
    392000 + ((-167*S[-1, Infinity]^2)/896 - (23561*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((185*S[-1, Infinity]^3)/192 + 
     (8873*S[-1, Infinity]*S[2, Infinity])/224 + (139169*S[3, Infinity])/
      7168)*S[5, Infinity] - (31049*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/3360 - 
     (69*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-803*S[-1, Infinity]^5)/3360 + 
     (1403*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (65413*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (251*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-377*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((11*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (139*S[2, Infinity]^3)/560 - 
     (S[-1, Infinity]^3*S[3, Infinity])/96 - (129*S[3, Infinity]^2)/256 + 
     (277*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (3*S[-1, Infinity]^2*(149*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1680 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (37*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (4259*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-1641*S[-1, Infinity]^2)/128 - (17025*S[2, Infinity])/896)*
      S[5, Infinity] + (166065*S[7, Infinity])/3584 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/192 - 
       (3*S[-1, Infinity]^2*S[2, Infinity])/32 - (4301*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/4) + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/16 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(11*S[-5, -1, Infinity] + 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-32*S[-5, 1, 1, Infinity] + 45*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (3510720*S[-7, -1, Infinity] + 603727*S[5, 3, Infinity] + 
     413440*S[-5, -1, -1, -1, Infinity] + 321280*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1254400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, 1, -1, 1, -1, 1, 2, Infinity] -> 
  (5*S[-1, Infinity]^8)/672 + (139*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1060753*S[2, Infinity]^4)/392000 + 
   ((-1105*S[-1, Infinity]^2)/896 - (2451*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((277*S[-1, Infinity]^3)/384 + 
     (26707*S[-1, Infinity]*S[2, Infinity])/896 + (41719*S[3, Infinity])/
      3584)*S[5, Infinity] - (129*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-113*S[-1, Infinity]^4)/560 - 
     (221*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-373*S[-1, Infinity]^5)/3360 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (23939*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (123*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-667*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (23*S[2, Infinity]^3)/40 + 
     (-S[-1, Infinity]^3/96 + (3*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (63*S[3, Infinity]^2)/64 + 
     (277*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (11*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-73*S[-1, Infinity]^7)/5040 + 
     (83*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (1581*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (185*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-805*S[-1, Infinity]^2)/64 - (15089*S[2, Infinity])/896)*
      S[5, Infinity] + (301081*S[7, Infinity])/7168 - 
     (37*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[3, Infinity]*((-19*S[-1, Infinity]^4)/192 + 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 - (339*S[2, Infinity]^2)/560 + 
       (11*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/240 + 2*S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + (-148*S[-5, 1, 1, Infinity] + 
       153*S[5, -1, -1, Infinity] + 476*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (1558720*S[-7, -1, Infinity] + 232947*S[5, 3, Infinity] + 
     165120*S[-5, -1, -1, -1, Infinity] + 157440*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 609280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 1, 1, -1, -2, Infinity] -> 
  (-55*S[-1, Infinity]^8)/4032 - (23*S[-1, Infinity]^2*S[2, Infinity]^3)/32 - 
   (43787*S[2, Infinity]^4)/16000 + ((611*S[-1, Infinity]^2)/896 - 
     (45*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-73*S[-1, Infinity]^3)/128 + (1691*S[-1, Infinity]*S[2, Infinity])/896 + 
     (6931*S[3, Infinity])/1024)*S[5, Infinity] - 
   (60447*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/160 - 
     (43*S[-1, 1, 1, 1, Infinity])/20) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/960 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (16817*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(3*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(-47*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*((-3*S[-1, Infinity]^6)/160 - 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (81*S[2, Infinity]^3)/560 + 
     ((13*S[-1, Infinity]^3)/96 - (3*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (85*S[3, Infinity]^2)/256 - 
     (39*S[-1, Infinity]*S[5, Infinity])/16 + S[2, Infinity]*
      ((3*S[-1, Infinity]^4)/32 - S[-1, 1, 1, 1, Infinity]/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5*S[-5, -1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 34*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((29*S[-1, Infinity]^7)/1008 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (411*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (461*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((467*S[-1, Infinity]^2)/128 + (1885*S[2, Infinity])/896)*
      S[5, Infinity] - (5825*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-43*S[-1, Infinity]^4)/192 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (113*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/2) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-7*S[-1, Infinity]^5)/40 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(17*S[-5, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-3*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (128960*S[-7, -1, Infinity] + 15171*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 21760*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2 - 92160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, -1, 1, 1, -1, 2, Infinity] -> 
  (-247*S[-1, Infinity]^8)/20160 - (211*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (689767*S[2, Infinity]^4)/196000 + 
   ((11*S[-1, Infinity]^2)/224 - (39*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-13*S[-1, Infinity]^3)/16 - (1137*S[-1, Infinity]*S[2, Infinity])/112 + 
     (3601*S[3, Infinity])/896)*S[5, Infinity] + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-509*S[-1, Infinity]^4)/3360 - 
     (401*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((353*S[-1, Infinity]^5)/3360 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (3249*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-121*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/60 - 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (17*S[2, Infinity]^3)/140 + 
     ((13*S[-1, Infinity]^3)/96 - (27*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (65*S[3, Infinity]^2)/128 - 
     (39*S[-1, Infinity]*S[5, Infinity])/16 + S[2, Infinity]*
      ((5*S[-1, Infinity]^4)/48 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[1, Infinity]*((41*S[-1, Infinity]^7)/1680 + 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (233*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (19*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((249*S[-1, Infinity]^2)/64 + (5127*S[2, Infinity])/448)*
      S[5, Infinity] - (2071*S[7, Infinity])/112 - 
     (15*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/32 + 
       (59*S[-1, Infinity]^2*S[2, Infinity])/32 + (1093*S[2, Infinity]^2)/
        560 + (3*S[-1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-17*S[-1, Infinity]^5)/120 + (S[-1, Infinity]*S[-1, 1, 1, 1, 
          Infinity])/2 + 2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (3*(5*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (49120*S[-7, -1, Infinity] - 801*S[5, 3, Infinity] - 
     11520*S[-5, -1, -1, -1, Infinity] + 20480*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2 - 76160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, 1, 1, 1, -2, Infinity] -> 
  (19*S[-1, Infinity]^8)/10080 - (33*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (457*S[2, Infinity]^4)/200 + ((9*S[-1, Infinity]^2)/16 - 
     (9*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/6 - (5*S[-1, Infinity]*S[2, Infinity])/2 + 
     (27*S[3, Infinity])/32)*S[5, Infinity] + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/15 + S[-1, 1, 1, 1, Infinity]/10) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/20 + 
     (S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (25*S[-1, Infinity]*S[2, Infinity]^2)/16 + S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 7*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (3*S[2, Infinity]^3)/14 + 
     (-S[-1, Infinity]^3/12 + (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] + (3*S[3, Infinity]^2)/16 - 
     (S[-1, Infinity]*S[5, Infinity])/2 - S[-5, -1, Infinity]/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     2*(-5*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*((-3*S[-1, Infinity]^7)/560 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (19*S[-1, Infinity]*S[2, Infinity]^3)/35 + 
     (S[-1, Infinity]*S[3, Infinity]^2)/2 + 
     (S[-1, Infinity]^2/64 + (63*S[2, Infinity])/64)*S[5, Infinity] + 
     (885*S[7, Infinity])/256 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*(S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/
        4 + (17*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, Infinity]) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 - S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]) + 
     (-S[-5, 1, 1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (704*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/32, S[1, 1, -1, 1, 1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/2688 - (181*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (265603*S[2, Infinity]^4)/156800 + 
   ((223*S[-1, Infinity]^2)/256 - (6375*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/384 + 
     (1417*S[-1, Infinity]*S[2, Infinity])/128 + (45553*S[3, Infinity])/7168)*
    S[5, Infinity] - (24831*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/672 - 
     (103*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-247*S[-1, Infinity]^5)/2240 + 
     (685*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3681*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (405*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] + 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/480 - 
     (S[-1, Infinity]^4*S[2, Infinity])/48 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/80 + S[2, Infinity]^3/10 + 
     (-S[-1, Infinity]^3/12 + (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] + (5*S[3, Infinity]^2)/16 - 
     (S[-1, Infinity]*S[5, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-S[-5, -1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-311*S[-5, -1, Infinity] + 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1008 + 
     (31*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (129*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (S[-1, Infinity]^4/8 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (381*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (37*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-29*S[-1, Infinity]^2)/128 - (2349*S[2, Infinity])/896)*
      S[5, Infinity] + (37221*S[7, Infinity])/3584 + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*(-5*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (259648*S[-7, -1, Infinity] + 37529*S[5, 3, Infinity] + 
     20224*S[-5, -1, -1, -1, Infinity] + 26368*S[-5, -1, 1, 1, Infinity] - 
     150528*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, 1, 1, -1, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/1344 + 
   (471*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (105137*S[2, Infinity]^4)/49000 + 
   ((-55*S[-1, Infinity]^2)/168 - (45*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((52*S[-1, Infinity]*S[2, Infinity])/7 + (6641*S[3, Infinity])/1344)*
    S[5, Infinity] - (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/1120 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 + (29*S[-1, Infinity]^3*S[2, Infinity])/252 + 
     (117*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (44*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/240 - (S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     (-S[-1, Infinity]^2/12 - S[2, Infinity]/8)*S[3, Infinity] + 
     (29*S[5, Infinity])/384 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 + 
     (127*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/160 + 
     (S[-1, Infinity]^4*S[2, Infinity])/32 + 
     (13*S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (241*S[2, Infinity]^3)/
      560 + (S[-1, Infinity]^3/6 + (5*S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] + (35*S[3, Infinity]^2)/32 + 
     (9*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/280 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (801*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/8 - (3*S[-1, Infinity]^2*S[2, Infinity])/2 - 
       (1419*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (295*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((31*S[-1, Infinity]^2)/128 - (1089*S[2, Infinity])/224)*
      S[5, Infinity] + (20133*S[7, Infinity])/3584 + 
     (59*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^5)/80 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (59*S[-5, 1, 1, Infinity] + 52*S[5, -1, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-8800*S[-7, -1, Infinity] + 17*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     67200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[1, 1, 1, -1, -1, -1, 2, Infinity] -> (53*S[-1, Infinity]^8)/13440 + 
   (4297*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1775071*S[2, Infinity]^4)/392000 + 
   ((-2435*S[-1, Infinity]^2)/5376 - (661*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + S[1, Infinity]^3*(-(S[-1, Infinity]^3*S[2, Infinity])/
      72 - (S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     (-S[-1, Infinity]^2/12 - S[2, Infinity]/16)*S[3, Infinity] - 
     S[5, Infinity]/6) + ((-279*S[-1, Infinity]^3)/128 + 
     (145*S[-1, Infinity]*S[2, Infinity])/896 + (52475*S[3, Infinity])/21504)*
    S[5, Infinity] + (46139*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((691*S[-1, Infinity]^4)/1680 + 
     (67*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((171*S[-1, Infinity]^5)/2240 - (755*S[-1, Infinity]^3*S[2, Infinity])/
      2016 - (1401*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (289*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (5*(-5*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-51*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/144 - 
     (S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (83*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (859*S[2, Infinity]^3)/
      1120 + (S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] + (55*S[3, Infinity]^2)/128 + 
     (93*S[-1, Infinity]*S[5, Infinity])/128 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-15*S[-5, -1, Infinity] + 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1680 - 
     (233*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (599*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (-S[-1, Infinity]^4/8 - (2*S[2, Infinity]^2)/7)*S[3, Infinity] - 
     (905*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((31*S[-1, Infinity]^2)/16 - (43*S[2, Infinity])/112)*S[5, Infinity] - 
     (72145*S[7, Infinity])/3584 + S[2, Infinity]*
      ((13*S[-1, Infinity]^5)/240 - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-45*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (75*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] - 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-420800*S[-7, -1, Infinity] + 46087*S[5, 3, Infinity] + 
     85760*S[-5, -1, -1, -1, Infinity] - 85760*S[-5, -1, 1, 1, Infinity] + 
     1039360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, -1, 1, -2, Infinity] -> (37*S[-1, Infinity]^8)/4480 + 
   (1115*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1099673*S[2, Infinity]^4)/196000 + 
   ((16883*S[-1, Infinity]^2)/5376 + (1037*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/128 - 
     (397*S[-1, Infinity]*S[2, Infinity])/896 + (28493*S[3, Infinity])/5376)*
    S[5, Infinity] + (24361*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((1433*S[-1, Infinity]^4)/3360 + 
     (261*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-2363*S[-1, Infinity]^5)/20160 + 
     (365*S[-1, Infinity]^3*S[2, Infinity])/504 + 
     (153*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (71*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/84) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/180 + (S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     (-S[-1, Infinity]^2/96 + S[2, Infinity]/16)*S[3, Infinity] - 
     (125*S[5, Infinity])/192 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      6 - S[-1, 1, 1, 1, 1, Infinity]/6) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/60 + 
     (113*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (43*S[2, Infinity]^3)/35 + (S[-1, Infinity]^3/48 + 
       (S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (97*S[3, Infinity]^2)/128 + (279*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*((-3*S[-1, Infinity]^4)/32 + (3*S[-1, 1, 1, 1, Infinity])/
        4) - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-209*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/96 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-153*S[-5, -1, Infinity] + 532*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/1008 - 
     (81*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (5567*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (2437*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((31*S[-1, Infinity]^2)/64 + (1993*S[2, Infinity])/896)*S[5, Infinity] - 
     (249107*S[7, Infinity])/7168 + S[3, Infinity]*(-S[-1, Infinity]^4/32 + 
       (S[-1, Infinity]^2*S[2, Infinity])/32 + (197*S[2, Infinity]^2)/280 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((7*S[-1, Infinity]^5)/80 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-143*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (38*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity] - 
       560*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-75840*S[-7, -1, Infinity] - 5797*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 268800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, -1, -1, 1, 2, Infinity] -> 
  (13*S[-1, Infinity]^8)/13440 - (75*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (380803*S[2, Infinity]^4)/784000 + 
   ((1157*S[-1, Infinity]^2)/5376 + (113*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-141*S[-1, Infinity]*S[2, Infinity])/28 - 
     (19735*S[3, Infinity])/21504)*S[5, Infinity] + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/1120 - 
     (85*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/2520 - 
     (325*S[-1, Infinity]^3*S[2, Infinity])/2016 - 
     (8739*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (167*S[-1, 1, 1, 1, 1, Infinity])/42) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/720 + (S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     (-S[-1, Infinity]^2/96 - (5*S[2, Infinity])/32)*S[3, Infinity] + 
     (29*S[5, Infinity])/384 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/480 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      4 + (-47*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/288 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/20 + 
     (S[-1, Infinity]^3/48 + (S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (63*S[3, Infinity]^2)/256 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - (3*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (-S[-1, Infinity]^7/315 + (7*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((31*S[-1, Infinity]^2)/128 + (687*S[2, Infinity])/224)*S[5, Infinity] - 
     (54219*S[7, Infinity])/7168 - (5*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-9*S[-1, Infinity]^4)/64 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/16 + (601*S[2, Infinity]^2)/
        1120 + 3*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
      (-S[-1, Infinity]^5/24 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       4*S[-1, 1, 1, 1, 1, Infinity]) + (-20*S[-5, 1, 1, Infinity] - 
       27*S[5, -1, -1, Infinity] - 532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-23360*S[-7, -1, Infinity] - 65433*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] + 
     1111040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, 1, -1, -2, Infinity] -> (43*S[-1, Infinity]^8)/5760 + 
   (461*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (22197*S[2, Infinity]^4)/8000 + ((6919*S[-1, Infinity]^2)/5376 + 
     (569*S[2, Infinity])/96)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/64 - (1221*S[-1, Infinity]*S[2, Infinity])/56 - 
     (3637*S[3, Infinity])/512)*S[5, Infinity] + 
   (111873*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/80 + (19*S[-1, 1, 1, 1, Infinity])/
      20) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-283*S[-1, Infinity]^3*S[2, Infinity])/288 - 
     (22511*S[-1, Infinity]*S[2, Infinity]^2)/3360 + 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (59*S[-1, 1, 1, 1, 1, Infinity])/6) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/80 + (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     ((13*S[-1, Infinity]^2)/96 - (7*S[2, Infinity])/48)*S[3, Infinity] - 
     (11*S[5, Infinity])/128 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, 1, 1, 1, 1, Infinity]/6) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(-5*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(95*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/36 - 
     (13*S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (39*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (389*S[2, Infinity]^3)/
      1120 + ((-13*S[-1, Infinity]^3)/48 + 
       (13*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] + 
     (69*S[3, Infinity]^2)/64 - (93*S[-1, Infinity]*S[5, Infinity])/32 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-11*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-61*S[-1, Infinity]^7)/2520 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (37*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     ((13*S[-1, Infinity]^4)/64 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
       (261*S[2, Infinity]^2)/140)*S[3, Infinity] - 
     (4533*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((1581*S[-1, Infinity]^2)/128 + (16225*S[2, Infinity])/896)*
      S[5, Infinity] - (177327*S[7, Infinity])/3584 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((11*S[-1, Infinity]^5)/120 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-55*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (103*S[-5, 1, 1, Infinity] - 170*S[5, -1, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 65*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-61760*S[-7, -1, Infinity] - 9373*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] - 6080*S[-5, -1, 1, 1, Infinity] + 
     34560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[1, 1, 1, -1, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/360 + 
   (67*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + (144083*S[2, Infinity]^4)/
    56000 + ((229*S[-1, Infinity]^2)/768 + (461*S[2, Infinity])/96)*
    S[3, Infinity]^2 + ((-45*S[-1, Infinity]*S[2, Infinity])/4 - 
     (5815*S[3, Infinity])/1024)*S[5, Infinity] + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/480 + 
     S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*(S[-1, Infinity]^5/80 - 
     (277*S[-1, Infinity]^3*S[2, Infinity])/288 - 
     (12377*S[-1, Infinity]*S[2, Infinity]^2)/1920 + 
     (2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (34*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/30 + 
     ((13*S[-1, Infinity]^2)/96 + (31*S[2, Infinity])/96)*S[3, Infinity] - 
     (135*S[5, Infinity])/128 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      3 - (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^4*S[2, Infinity])/32 + 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (341*S[2, Infinity]^3)/
      560 + ((-13*S[-1, Infinity]^3)/48 - (29*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (89*S[3, Infinity]^2)/256 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(7*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (23*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-53*S[-1, Infinity]^7)/5040 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (1837*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((13*S[-1, Infinity]^4)/64 + (13*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (377*S[2, Infinity]^2)/160)*S[3, Infinity] - 
     (27*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((899*S[-1, Infinity]^2)/128 + (61*S[2, Infinity])/8)*S[5, Infinity] - 
     (34683*S[7, Infinity])/1024 + (7*S[-1, Infinity]*S[-5, -1, Infinity])/
      2 + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/80 + S[-1, Infinity]*
        S[-1, 1, 1, 1, Infinity] - 2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (14*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] - 
       68*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-235840*S[-7, -1, Infinity] - 31219*S[5, 3, Infinity] - 
     19200*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, 1, 1, -1, 1, 1, -2, Infinity] -> (-19*S[-1, Infinity]^8)/8064 + 
   (659*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (3889*S[2, Infinity]^4)/1120 + ((-11*S[-1, Infinity]^2)/48 + 
     (3*S[2, Infinity])/2)*S[3, Infinity]^2 + 
   (2*S[-1, Infinity]*S[2, Infinity] - (107*S[3, Infinity])/128)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/48 + (19*S[-1, 1, 1, 1, Infinity])/
      10) + S[3, Infinity]*(S[-1, Infinity]^5/8 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/144 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (28*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/30 + 
     (-S[-1, Infinity]^2/12 - S[2, Infinity]/16)*S[3, Infinity] + 
     (5*S[5, Infinity])/32 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     S[-1, 1, 1, 1, 1, Infinity]/6) + S[1, Infinity]^2*
    ((-7*S[-1, Infinity]^6)/480 + (29*S[-1, Infinity]^2*S[2, Infinity]^2)/
      80 + (17*S[2, Infinity]^3)/35 + 
     (S[-1, Infinity]^3/6 + (11*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (7*S[3, Infinity]^2)/8 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (47*S[-5, -1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((7*S[-1, Infinity]^7)/720 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (41*S[-1, Infinity]*S[2, Infinity]^3)/20 - 
     (17*S[-1, Infinity]*S[3, Infinity]^2)/4 + 
     ((217*S[-1, Infinity]^2)/64 - (89*S[2, Infinity])/64)*S[5, Infinity] - 
     (1131*S[7, Infinity])/256 + (7*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 - 
       (27*S[-1, Infinity]^2*S[2, Infinity])/16 - (161*S[2, Infinity]^2)/80 - 
       S[-1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/60 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (7*(S[-5, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2) - 
   (5*(704*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
      128*S[-5, -1, 1, 1, Infinity] - 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/128, S[1, 1, 1, -1, 1, 1, 2, Infinity] -> 
  (59*S[-1, Infinity]^8)/40320 + (967*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (53263*S[2, Infinity]^4)/16000 + 
   ((-7655*S[-1, Infinity]^2)/5376 + (1439*S[2, Infinity])/768)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/96 - 
     (4315*S[-1, Infinity]*S[2, Infinity])/448 - (18689*S[3, Infinity])/3072)*
    S[5, Infinity] + (183105*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/240 + 
     (3*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/32 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/9 - 
     (81077*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (209*S[-1, 1, 1, 1, 1, Infinity])/24) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/240 - (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     (-S[-1, Infinity]^2/12 + S[2, Infinity]/12)*S[3, Infinity] - 
     S[5, Infinity]/192 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     S[-1, 1, 1, 1, 1, Infinity]/3) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(9*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/720 + 
     (29*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (11*S[2, Infinity]^3)/28 + 
     (S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] + (3*S[3, Infinity]^2)/64 + 
     (31*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (S[-1, Infinity]^4/32 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-7*S[-5, -1, Infinity] + 20*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (89*S[-5, -1, Infinity] + 20*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 - 
     (137*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (355*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (491*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((341*S[-1, Infinity]^2)/64 + (4231*S[2, Infinity])/448)*
      S[5, Infinity] - (214773*S[7, Infinity])/7168 + 
     S[3, Infinity]*((-23*S[-1, Infinity]^4)/192 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 + (89*S[2, Infinity]^2)/56 - 
       S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(-24*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (89*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
       420*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-9*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-152000*S[-7, -1, Infinity] - 14539*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 122880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, 1, 1, -1, -1, -2, Infinity] -> 
  (-67*S[-1, Infinity]^8)/8064 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/14 - 
   (2894411*S[2, Infinity]^4)/784000 + 
   ((-127*S[-1, Infinity]^2)/84 - (1091*S[2, Infinity])/1344)*
    S[3, Infinity]^2 + S[1, Infinity]^4*(-(S[-1, Infinity]^2*S[2, Infinity])/
      96 - S[2, Infinity]^2/40 - (S[-1, Infinity]*S[3, Infinity])/24) + 
   ((-155*S[-1, Infinity]^3)/128 - (5969*S[-1, Infinity]*S[2, Infinity])/
      896 - (7159*S[3, Infinity])/5376)*S[5, Infinity] - 
   (6945*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-671*S[-1, Infinity]^4)/3360 - 
     (123*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((2837*S[-1, Infinity]^5)/20160 - 
     (1843*S[-1, Infinity]^3*S[2, Infinity])/2016 - 
     (2011*S[-1, Infinity]*S[2, Infinity]^2)/1344 - 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/21) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/72 - (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (59*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     (S[-1, Infinity]^2/12 - (7*S[2, Infinity])/48)*S[3, Infinity] + 
     (247*S[5, Infinity])/192 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + (5*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/360 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (103*S[-5, -1, Infinity] - 210*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*((-41*S[-1, Infinity]^6)/1440 - 
     (15*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (193*S[2, Infinity]^3)/
      140 + (-S[-1, Infinity]^3/12 - (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] - (73*S[3, Infinity]^2)/128 - 
     (465*S[-1, Infinity]*S[5, Infinity])/128 + 
     S[2, Infinity]*(S[-1, Infinity]^4/8 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (11*S[-5, -1, Infinity] - 40*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(67*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((3*S[-1, Infinity]^7)/140 + 
     (181*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (129*S[-1, Infinity]*S[2, Infinity]^3)/32 + 
     (263*S[-1, Infinity]*S[3, Infinity]^2)/1344 + 
     ((31*S[-1, Infinity]^2)/8 + (4875*S[2, Infinity])/896)*S[5, Infinity] + 
     (87609*S[7, Infinity])/7168 + S[3, Infinity]*
      ((11*S[-1, Infinity]^4)/192 + (7*S[-1, Infinity]^2*S[2, Infinity])/96 - 
       (187*S[2, Infinity]^2)/280 - (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (9*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(39*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-8*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] + 
       308*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2400*S[-7, -1, Infinity] - 619*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 8640*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, 1, 1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/2688 + (191*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (365237*S[2, Infinity]^4)/784000 + 
   ((89*S[-1, Infinity]^2)/1344 - (115*S[2, Infinity])/672)*
    S[3, Infinity]^2 + ((15*S[-1, Infinity]*S[2, Infinity])/7 - 
     (7367*S[3, Infinity])/10752)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[1, Infinity]^4*(S[-1, Infinity]^4/192 - 
     (S[-1, Infinity]^2*S[2, Infinity])/96 - S[2, Infinity]^2/64 - 
     (S[-1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/8) + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/210 + 
     (649*S[-1, 1, 1, 1, Infinity])/280) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (37*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     (S[-1, Infinity]^2/12 + (7*S[2, Infinity])/24)*S[3, Infinity] + 
     (29*S[5, Infinity])/384 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/560 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/504 + 
     (587*S[-1, Infinity]*S[2, Infinity]^2)/672 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/160 + (7*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - 
     (137*S[2, Infinity]^3)/1120 + (-S[-1, Infinity]^3/12 - 
       (S[-1, Infinity]*S[2, Infinity])/4)*S[3, Infinity] - 
     (31*S[3, Infinity]^2)/64 + S[2, Infinity]*(-S[-1, Infinity]^4/16 + 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-5, -1, Infinity] - 36*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + 
     (48*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/420 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (221*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (517*S[-1, Infinity]*S[3, Infinity]^2)/336 + 
     ((31*S[-1, Infinity]^2)/128 - (835*S[2, Infinity])/448)*S[5, Infinity] + 
     (19497*S[7, Infinity])/3584 + (27*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[3, Infinity]*((5*S[-1, Infinity]^4)/24 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/12 + (67*S[2, Infinity]^2)/560 - 
       4*S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^5/40 - 
       S[-1, 1, 1, 1, 1, Infinity]) + (27*S[-5, 1, 1, Infinity] + 
       20*S[5, -1, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (-60800*S[-7, -1, Infinity] + 7211*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity] - 
     268800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, 1, -1, 1, -2, Infinity] -> S[-1, Infinity]^8/2880 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (1129*S[2, Infinity]^4)/800 + 
   (S[-1, Infinity]^2/48 - (19*S[2, Infinity])/48)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity]) - (65*S[3, Infinity])/128)*
    S[5, Infinity] + S[2, Infinity]^2*(-S[-1, Infinity]^4/480 - 
     (13*S[-1, 1, 1, 1, Infinity])/20) + S[1, Infinity]^4*
    (S[-1, Infinity]^4/288 - S[2, Infinity]^2/120 - 
     (S[-1, Infinity]*S[3, Infinity])/192 - S[-1, 1, 1, 1, Infinity]/12) + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/144 + 
     (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/8 + 
     (S[-1, Infinity]^2/96 + S[2, Infinity]/48)*S[3, Infinity] + 
     (41*S[5, Infinity])/64 + (5*S[-1, 1, 1, 1, 1, Infinity])/6) + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/576 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/288 - 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (14*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/180 - (9*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - 
     (151*S[2, Infinity]^3)/280 + (-S[-1, Infinity]^3/96 - 
       (17*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (13*S[3, Infinity]^2)/16 + S[-5, -1, Infinity] - 
     (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[2, Infinity]*
    (-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/5040 + 
     (2*S[-1, Infinity]^3*S[2, Infinity]^2)/15 + 
     (379*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (11*S[-1, Infinity]*S[3, Infinity]^2)/6 + 
     ((-93*S[-1, Infinity]^2)/64 + (61*S[2, Infinity])/32)*S[5, Infinity] + 
     (1389*S[7, Infinity])/256 - (3*S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*((19*S[-1, Infinity]^4)/576 + 
       (17*S[-1, Infinity]^2*S[2, Infinity])/32 + (149*S[2, Infinity]^2)/
        240 - (2*S[-1, 1, 1, 1, Infinity])/3) + 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-3*S[-5, 1, 1, Infinity] + 22*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (896*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 1792*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[1, 1, 1, 1, -1, 1, 2, Infinity] -> 
  (-11*S[-1, Infinity]^8)/1920 - (2083*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (13569*S[2, Infinity]^4)/5600 + 
   ((475*S[-1, Infinity]^2)/768 - (661*S[2, Infinity])/768)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/384 - 
     (65*S[-1, Infinity]*S[2, Infinity])/128 + (2195*S[3, Infinity])/1536)*
    S[5, Infinity] - (6231*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-107*S[-1, Infinity]^4)/960 - 
     (3*S[-1, 1, 1, 1, Infinity])/40) + S[1, Infinity]^4*
    (-S[-1, Infinity]^4/576 - S[2, Infinity]^2/480 - 
     (S[-1, Infinity]*S[3, Infinity])/192 + S[-1, 1, 1, 1, Infinity]/24) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^3*((11*S[-1, Infinity]^5)/720 - 
     (S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (37*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     (S[-1, Infinity]^2/96 - S[2, Infinity]/96)*S[3, Infinity] + 
     (277*S[5, Infinity])/384 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(S[-1, Infinity]^5/288 + (S[-1, Infinity]^3*S[2, Infinity])/
      4 + (793*S[-1, Infinity]*S[2, Infinity]^2)/480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (107*S[-1, 1, 1, 1, 1, Infinity])/24) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2*S[-5, -1, Infinity] - 11*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/240 - 
     (11*S[-1, Infinity]^2*S[2, Infinity]^2)/20 - (181*S[2, Infinity]^3)/
      280 + (-S[-1, Infinity]^3/96 + (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (153*S[3, Infinity]^2)/256 - 
     (31*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      ((3*S[-1, Infinity]^4)/32 + S[-1, 1, 1, 1, Infinity]/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((109*S[-1, Infinity]^7)/5040 + 
     (119*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (2721*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (419*S[-1, Infinity]*S[3, Infinity]^2)/384 + 
     ((-155*S[-1, Infinity]^2)/128 + (175*S[2, Infinity])/128)*
      S[5, Infinity] + (11787*S[7, Infinity])/1024 + 
     S[3, Infinity]*((-5*S[-1, Infinity]^4)/576 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 - (119*S[2, Infinity]^2)/480 + 
       S[-1, 1, 1, 1, Infinity]/3) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]*(15*S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (-5*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
       40*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (5184*S[-7, -1, Infinity] + 251*S[5, 3, Infinity] - 
     256*S[-5, -1, -1, -1, Infinity] + 768*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/512, 
 S[1, 1, 1, 1, 1, -1, -2, Infinity] -> -S[-1, Infinity]^8/13440 - 
   (191*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1173*S[2, Infinity]^4)/11200 + 
   (S[1, Infinity]^5*((S[-1, Infinity]*S[2, Infinity])/12 + 
      (13*S[3, Infinity])/96))/10 - (S[2, Infinity]*S[3, Infinity]^2)/48 + 
   ((S[-1, Infinity]*S[2, Infinity])/5 + (2753*S[3, Infinity])/3840)*
    S[5, Infinity] + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/320 - 
     (13*S[-1, 1, 1, 1, Infinity])/40) + S[1, Infinity]^4*
    (-S[-1, Infinity]^4/192 + (S[-1, Infinity]^2*S[2, Infinity])/96 + 
     (11*S[2, Infinity]^2)/480 + S[-1, 1, 1, 1, Infinity]/8) + 
   S[3, Infinity]*(S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/
      36 + (7*S[-1, Infinity]*S[2, Infinity]^2)/60 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/240 - (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/120 - 
     (S[2, Infinity]*S[3, Infinity])/96 - S[5, Infinity]/192 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + 
   (S[2, Infinity]*(-2*S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity]))/
    2 + S[1, Infinity]^2*(-S[-1, Infinity]^6/480 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (11*S[2, Infinity]^3)/80 + 
     (S[-1, Infinity]*S[2, Infinity]*S[3, Infinity])/6 + 
     (19*S[3, Infinity]^2)/48 + (S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-5, -1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(S[-1, Infinity]^7/1680 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (53*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-31*S[-1, Infinity]^2)/64 - S[2, Infinity]/32)*S[5, Infinity] + 
     (123*S[7, Infinity])/256 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*(-S[-1, Infinity]^4/12 + 
       (S[-1, Infinity]^2*S[2, Infinity])/3 + (131*S[2, Infinity]^2)/960 + 
       2*S[-1, 1, 1, 1, Infinity]) - 
     (S[2, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-S[-5, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (768*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] + 768*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[1, 1, 1, 1, 1, -1, 2, Infinity] -> 
  (67*S[-1, Infinity]^8)/40320 + (727*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (857*S[2, Infinity]^4)/800 + 
   (S[1, Infinity]^5*(-(S[-1, Infinity]*S[2, Infinity])/24 - 
      S[3, Infinity]/12))/10 + (-S[-1, Infinity]^2/256 - 
     (163*S[2, Infinity])/768)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/192 + (1213*S[-1, Infinity]*S[2, Infinity])/320 - 
     (1821*S[3, Infinity])/1280)*S[5, Infinity] + 
   (1389*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[1, Infinity]^4*(-S[-1, Infinity]^4/288 + 
     (S[-1, Infinity]^2*S[2, Infinity])/32 + (7*S[2, Infinity]^2)/192 + 
     (7*S[-1, Infinity]*S[3, Infinity])/64 + S[-1, 1, 1, 1, Infinity]/12) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/960 + S[-1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/720 - 
     (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (61*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((-7*S[-1, Infinity]^2)/32 - S[2, Infinity]/96)*S[3, Infinity] - 
     (13*S[5, Infinity])/16 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) + S[3, Infinity]*
    ((-71*S[-1, Infinity]^5)/2880 + (131*S[-1, Infinity]^3*S[2, Infinity])/
      288 + (847*S[-1, Infinity]*S[2, Infinity]^2)/960 + 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/24 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/24) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2 + S[2, Infinity]*(-S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((7*S[-1, Infinity]^6)/1440 + 
     (91*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (661*S[2, Infinity]^3)/
      1120 + ((7*S[-1, Infinity]^3)/32 + (55*S[-1, Infinity]*S[2, Infinity])/
        96)*S[3, Infinity] - (179*S[3, Infinity]^2)/768 + 
     (155*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/48 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/5040 - 
     (27*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (1013*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (161*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((-93*S[-1, Infinity]^2)/32 - (251*S[2, Infinity])/64)*S[5, Infinity] - 
     (1143*S[7, Infinity])/512 + S[3, Infinity]*
      ((-41*S[-1, Infinity]^4)/288 - (3*S[-1, Infinity]^2*S[2, Infinity])/8 + 
       (101*S[2, Infinity]^2)/480 + (19*S[-1, 1, 1, 1, Infinity])/24) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (5*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] + 
     (S[5, -1, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (768*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] + 128*S[-1, 1, 1, 1, Infinity]^2 + 
     512*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[1, 1, 1, 1, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/1152 - 
   (S[1, Infinity]^6*S[2, Infinity])/1440 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - (2217*S[2, Infinity]^4)/
    5600 - (S[1, Infinity]^5*S[3, Infinity])/960 + 
   ((7*S[-1, Infinity]^2)/48 - (7*S[2, Infinity])/144)*S[3, Infinity]^2 - 
   (43*S[3, Infinity]*S[5, Infinity])/120 + S[2, Infinity]^2*
    ((-7*S[-1, Infinity]^4)/320 - (9*S[-1, 1, 1, 1, Infinity])/40) + 
   S[1, Infinity]^4*(S[-1, Infinity]^4/576 - 
     (S[-1, Infinity]^2*S[2, Infinity])/96 - (13*S[2, Infinity]^2)/480 - 
     (7*S[-1, Infinity]*S[3, Infinity])/192 - S[-1, 1, 1, 1, Infinity]/24) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/2880 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/288 - 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     S[-1, 1, 1, 1, 1, Infinity]/3) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/180 + (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     ((7*S[-1, Infinity]^2)/96 - (11*S[2, Infinity])/288)*S[3, Infinity] - 
     S[5, Infinity]/6 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     S[-1, 1, 1, 1, 1, Infinity]/6) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]^2*
    (S[-1, Infinity]^6/144 - (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - 
     (303*S[2, Infinity]^3)/1120 + ((-7*S[-1, Infinity]^3)/96 - 
       (7*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     S[3, Infinity]^2/48 + S[2, Infinity]*(-S[-1, Infinity]^4/48 - 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]/2) - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/252 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/24 - 
     (3*S[2, Infinity]*S[5, Infinity])/5 - S[7, Infinity] + 
     S[3, Infinity]*((29*S[-1, Infinity]^4)/576 + 
       (13*S[-1, Infinity]^2*S[2, Infinity])/96 - (47*S[2, Infinity]^2)/192 - 
       S[-1, 1, 1, 1, Infinity]/3) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] - 
     S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 1, 1, 2, Infinity] -> (S[1, Infinity]^6*S[2, Infinity])/720 + 
   (3*S[1, Infinity]^4*S[2, Infinity]^2)/80 + (1261*S[2, Infinity]^4)/2800 - 
   (S[1, Infinity]^5*S[3, Infinity])/120 - (S[2, Infinity]*S[3, Infinity]^2)/
    9 + S[1, Infinity]^2*((183*S[2, Infinity]^3)/560 - S[3, Infinity]^2/6) + 
   S[1, Infinity]^3*(-(S[2, Infinity]*S[3, Infinity])/36 - 
     S[5, Infinity]/6) - (8*S[3, Infinity]*S[5, Infinity])/15 + 
   S[1, Infinity]*((3*S[2, Infinity]^2*S[3, Infinity])/40 - 
     (3*S[2, Infinity]*S[5, Infinity])/10 - S[7, Infinity]), 
 S[1, -1, -1, -1, -1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^8/4032 + 
   (283*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (616533*S[2, Infinity]^4)/784000 + 
   ((-319*S[-1, Infinity]^2)/896 - (761*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((19*S[-1, Infinity]^3)/48 + 
     (677*S[-1, Infinity]*S[2, Infinity])/224 + (71*S[3, Infinity])/896)*
    S[5, Infinity] + S[1, Infinity]*(S[-1, Infinity]^7/5040 + 
     (S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (61*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/96 - (S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (9*S[2, Infinity]^2)/160)*S[3, Infinity] + 
     (S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-3*S[-1, Infinity]^2)/32 - (3*S[2, Infinity])/32)*S[5, Infinity] - 
     (9*S[7, Infinity])/64) + 2*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - (33*S[-5, -1, Infinity])/56) - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/224 - (3*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((13*S[-1, Infinity]^5)/560 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (411*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (3*(-3040*S[-7, -1, Infinity] - 631*S[5, 3, Infinity] - 
      480*S[-5, -1, -1, -1, Infinity] - 80*S[-5, -1, 1, 1, Infinity] - 
      2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/2240, 
 S[1, -1, -1, -1, -1, -1, -1, 1, Infinity] -> -S[-1, Infinity]^8/4032 + 
   (283*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (136107*S[2, Infinity]^4)/784000 + 
   ((-319*S[-1, Infinity]^2)/896 - (761*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((19*S[-1, Infinity]^3)/48 + 
     (677*S[-1, Infinity]*S[2, Infinity])/224 + (3655*S[3, Infinity])/896)*
    S[5, Infinity] + S[1, Infinity]*(S[-1, Infinity]^7/5040 + 
     (S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (61*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/96 - (S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (9*S[2, Infinity]^2)/160)*S[3, Infinity] + 
     (S[-1, Infinity]*S[3, Infinity]^2)/32 + 
     ((-3*S[-1, Infinity]^2)/32 - (3*S[2, Infinity])/32)*S[5, Infinity] + 
     (119*S[7, Infinity])/64) + S[2, Infinity]*(-S[-1, Infinity]^6/480 - 
     (33*S[-5, -1, Infinity])/56) - (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/
    28 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/224 - 
     (3*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/560 + (83*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (411*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (3*(-3040*S[-7, -1, Infinity] - 631*S[5, 3, Infinity] - 
      480*S[-5, -1, -1, -1, Infinity] - 80*S[-5, -1, 1, 1, Infinity] - 
      2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/2240, 
 S[1, -1, -1, -1, -1, -1, 1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/288 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (4649*S[2, Infinity]^4)/
    2000 + ((-409*S[-1, Infinity]^2)/128 - (23*S[2, Infinity])/8)*
    S[3, Infinity]^2 + ((169*S[-1, Infinity]^3)/192 - 
     (23*S[-1, Infinity]*S[2, Infinity])/128 + (5471*S[3, Infinity])/512)*
    S[5, Infinity] + S[2, Infinity]^2*((21*S[-1, Infinity]^4)/160 - 
     (18*S[-1, 1, 1, 1, Infinity])/5) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (9*(-2*S[5, 3, Infinity] + 5*S[-1, 1, 1, 1, Infinity]^2))/10 + 
   S[3, Infinity]*((123*S[-1, Infinity]^5)/320 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (1201*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/160 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((61*S[-1, Infinity]^7)/5040 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (227*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-3*S[-1, Infinity]^2)/32 + (489*S[2, Infinity])/448)*S[5, Infinity] + 
     (20847*S[7, Infinity])/3584 + S[3, Infinity]*
      ((-29*S[-1, Infinity]^4)/192 - (17*S[-1, Infinity]^2*S[2, Infinity])/
        32 - (81*S[2, Infinity]^2)/448 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]*(3*S[-5, -1, Infinity] + 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (3*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, -1, -1, -1, -1, -1, 1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/288 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + (1769*S[2, Infinity]^4)/
    2000 + ((-409*S[-1, Infinity]^2)/128 + (9*S[2, Infinity])/8)*
    S[3, Infinity]^2 + ((169*S[-1, Infinity]^3)/192 - 
     (279*S[-1, Infinity]*S[2, Infinity])/128 - (5793*S[3, Infinity])/512)*
    S[5, Infinity] + (157*S[-1, Infinity]*S[7, Infinity])/16 + 
   S[2, Infinity]^2*((21*S[-1, Infinity]^4)/160 - 
     (18*S[-1, 1, 1, 1, Infinity])/5) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (9*(2*S[5, 3, Infinity] + 5*S[-1, 1, 1, 1, Infinity]^2))/10 + 
   S[3, Infinity]*((123*S[-1, Infinity]^5)/320 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (1649*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/160 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((61*S[-1, Infinity]^7)/5040 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (227*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-3*S[-1, Infinity]^2)/32 + (1385*S[2, Infinity])/448)*S[5, Infinity] - 
     (14321*S[7, Infinity])/3584 + S[3, Infinity]*
      ((-29*S[-1, Infinity]^4)/192 - (17*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (2731*S[2, Infinity]^2)/2240 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]*(3*S[-5, -1, Infinity] + 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (3*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, -1, -1, -1, -1, 1, -1, -1, Infinity] -> (-19*S[-1, Infinity]^8)/4032 + 
   (139*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1771261*S[2, Infinity]^4)/784000 + 
   ((-25*S[-1, Infinity]^2)/7 - (2439*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((721*S[-1, Infinity]^3)/192 + (12535*S[-1, Infinity]*S[2, Infinity])/
      896 + (6623*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((93*S[-1, Infinity]^4)/1120 + 
     (183*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((447*S[-1, Infinity]^5)/2240 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (297*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (585*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((7*S[-1, Infinity]^6)/480 + 
     (837*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/5040 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (293*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((-23*S[-1, Infinity]^4)/192 - (23*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (69*S[2, Infinity]^2)/320)*S[3, Infinity] - 
     (13*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-35*S[-1, Infinity]^2)/64 + (107*S[2, Infinity])/32)*S[5, Infinity] - 
     (213*S[7, Infinity])/16 + S[2, Infinity]*(-S[-1, Infinity]^5/48 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*(5*S[-5, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (3*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
        12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (-175680*S[-7, -1, Infinity] + 479*S[5, 3, Infinity] + 
     24960*S[-5, -1, -1, -1, Infinity] - 58560*S[-5, -1, 1, 1, Infinity] + 
     134400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, -1, -1, -1, -1, 1, -1, 1, Infinity] -> (-19*S[-1, Infinity]^8)/4032 + 
   (139*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (4853501*S[2, Infinity]^4)/784000 + 
   ((-25*S[-1, Infinity]^2)/7 + (1145*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((721*S[-1, Infinity]^3)/192 + (7607*S[-1, Infinity]*S[2, Infinity])/896 - 
     (84769*S[3, Infinity])/3584)*S[5, Infinity] + 
   (291*S[-1, Infinity]*S[7, Infinity])/16 + S[2, Infinity]^2*
    ((93*S[-1, Infinity]^4)/1120 + (183*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((447*S[-1, Infinity]^5)/2240 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (591*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (585*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((7*S[-1, Infinity]^6)/480 + 
     (837*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((31*S[-1, Infinity]^7)/5040 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (293*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((-23*S[-1, Infinity]^4)/192 - (23*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (741*S[2, Infinity]^2)/320)*S[3, Infinity] - 
     (13*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((-35*S[-1, Infinity]^2)/64 + (283*S[2, Infinity])/32)*S[5, Infinity] - 
     (63*S[7, Infinity])/2 + S[2, Infinity]*(-S[-1, Infinity]^5/48 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*(5*S[-5, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (3*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
        12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (3*(58560*S[-7, -1, Infinity] + 11787*S[5, 3, Infinity] - 
      8320*S[-5, -1, -1, -1, Infinity] + 19520*S[-5, -1, 1, 1, Infinity] - 
      44800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/8960, 
 S[1, -1, -1, -1, -1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/1008 + 
   (227*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1234243*S[2, Infinity]^4)/196000 + 
   ((-101*S[-1, Infinity]^2)/56 - (1927*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((4*S[-1, Infinity]^3)/3 + 
     (155*S[-1, Infinity]*S[2, Infinity])/7 - (21907*S[3, Infinity])/1792)*
    S[5, Infinity] + 10*S[-1, Infinity]*S[7, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/1120 + 
     (89*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((139*S[-1, Infinity]^5)/1680 + (19*S[-1, Infinity]^3*S[2, Infinity])/
      56 + (5631*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (139*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 + (94*S[-5, -1, Infinity])/
      7 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-125*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/5040 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (331*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (295*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-35*S[-1, Infinity]^2)/64 - (2097*S[2, Infinity])/448)*
      S[5, Infinity] - (12071*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 - (59*S[2, Infinity]^2)/280 - 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-5*S[-5, -1, Infinity] - 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (23360*S[-7, -1, Infinity] + 29593*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, -1, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/1008 + (227*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (380803*S[2, Infinity]^4)/196000 + 
   ((-101*S[-1, Infinity]^2)/56 - (1927*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((4*S[-1, Infinity]^3)/3 + 
     (155*S[-1, Infinity]*S[2, Infinity])/7 + (13933*S[3, Infinity])/1792)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/1120 + 
     (89*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((139*S[-1, Infinity]^5)/1680 + (19*S[-1, Infinity]^3*S[2, Infinity])/
      56 + (8319*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (139*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 + (94*S[-5, -1, Infinity])/
      7 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-125*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/5040 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (331*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (295*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-35*S[-1, Infinity]^2)/64 - (2097*S[2, Infinity])/448)*
      S[5, Infinity] + (23769*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 - 
       (9*S[-1, Infinity]^2*S[2, Infinity])/16 - (731*S[2, Infinity]^2)/280 - 
       S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-5*S[-5, -1, Infinity] - 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (23360*S[-7, -1, Infinity] + 65433*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, -1, 1, -1, -1, -1, Infinity] -> 
  (307*S[-1, Infinity]^8)/20160 + (9523*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (2031809*S[2, Infinity]^4)/1176000 + 
   ((-191*S[-1, Infinity]^2)/1792 - (13187*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((123*S[-1, Infinity]^3)/64 + 
     (28215*S[-1, Infinity]*S[2, Infinity])/896 + (35037*S[3, Infinity])/
      7168)*S[5, Infinity] - (267*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/420 + 
     (87*S[-1, 1, 1, 1, Infinity])/28) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-129*S[-1, Infinity]^5)/448 + (1361*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (44263*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (423*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/15 - (153*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-47*S[-1, Infinity]^7)/5040 + 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (667*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-1113*S[-1, Infinity]^2)/128 - (12339*S[2, Infinity])/896)*
      S[5, Infinity] + (92301*S[7, Infinity])/3584 - 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (271*S[2, Infinity]^2)/224 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (3*(614720*S[-7, -1, Infinity] + 106677*S[5, 3, Infinity] + 
      113920*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, -1, -1, -1, 1, -1, -1, 1, Infinity] -> 
  (307*S[-1, Infinity]^8)/20160 + (9523*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (1160281*S[2, Infinity]^4)/1176000 + 
   ((-191*S[-1, Infinity]^2)/1792 - (18563*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((123*S[-1, Infinity]^3)/64 + 
     (24183*S[-1, Infinity]*S[2, Infinity])/896 + (99549*S[3, Infinity])/
      7168)*S[5, Infinity] + (75*S[-1, Infinity]*S[7, Infinity])/8 - 
   (267*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/420 + 
     (87*S[-1, 1, 1, 1, Infinity])/28) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-129*S[-1, Infinity]^5)/448 + (1361*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (44263*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (423*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/15 - (153*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-47*S[-1, Infinity]^7)/5040 + 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (667*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-1113*S[-1, Infinity]^2)/128 - (8307*S[2, Infinity])/896)*
      S[5, Infinity] + (58701*S[7, Infinity])/3584 - 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 - 
       (S[-1, Infinity]^2*S[2, Infinity])/4 - (271*S[2, Infinity]^2)/224 - 
       (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (3*(614720*S[-7, -1, Infinity] + 138933*S[5, 3, Infinity] + 
      113920*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[1, -1, -1, -1, 1, -1, 1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/10080 + (3713*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (2562321*S[2, Infinity]^4)/784000 + 
   ((-3359*S[-1, Infinity]^2)/1792 - (22565*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/64 + 
     (36555*S[-1, Infinity]*S[2, Infinity])/896 - (8079*S[3, Infinity])/7168)*
    S[5, Infinity] + (179*S[-1, Infinity]*S[7, Infinity])/16 + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - (72*S[-5, -1, Infinity])/7) + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/3360 - 
     (39*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/56 + (527*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (55607*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (39*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(155*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/5040 - 
     (S[-1, Infinity]^5*S[2, Infinity])/48 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (179*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((-23*S[-1, Infinity]^4)/192 - (23*S[-1, Infinity]^2*S[2, Infinity])/
        32 - (4597*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (797*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1113*S[-1, Infinity]^2)/128 - (20535*S[2, Infinity])/896)*
      S[5, Infinity] + (173637*S[7, Infinity])/3584 + 
     (3*S[-1, Infinity]*(4*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (9*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (3*(907840*S[-7, -1, Infinity] + 175257*S[5, 3, Infinity] + 
      162560*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity] - 
      179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[1, -1, -1, -1, 1, -1, 1, 1, Infinity] -> (-19*S[-1, Infinity]^8)/10080 + 
   (3713*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (86673*S[2, Infinity]^4)/784000 + ((-3359*S[-1, Infinity]^2)/1792 - 
     (18981*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/64 + (36555*S[-1, Infinity]*S[2, Infinity])/896 + 
     (74353*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - (72*S[-5, -1, Infinity])/7) + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/3360 - 
     (39*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/56 + (527*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (68599*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (39*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(155*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/5040 - 
     (S[-1, Infinity]^5*S[2, Infinity])/48 - 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (179*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((-23*S[-1, Infinity]^4)/192 - (23*S[-1, Infinity]^2*S[2, Infinity])/
        32 - (11093*S[2, Infinity]^2)/2240)*S[3, Infinity] + 
     (797*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-1113*S[-1, Infinity]^2)/128 - (20535*S[2, Infinity])/896)*
      S[5, Infinity] + (213733*S[7, Infinity])/3584 + 
     (3*S[-1, Infinity]*(4*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
     (9*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (2723520*S[-7, -1, Infinity] + 608203*S[5, 3, Infinity] + 
     487680*S[-5, -1, -1, -1, Infinity] + 49920*S[-5, -1, 1, 1, Infinity] - 
     537600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, -1, 1, 1, -1, -1, Infinity] -> (-41*S[-1, Infinity]^8)/6720 - 
   (983*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (21569*S[2, Infinity]^4)/196000 + ((-1497*S[-1, Infinity]^2)/1792 - 
     (5135*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((61*S[-1, Infinity]^3)/96 + (5219*S[-1, Infinity]*S[2, Infinity])/448 - 
     (44465*S[3, Infinity])/7168)*S[5, Infinity] + 
   (115*S[-1, Infinity]*S[7, Infinity])/16 + S[2, Infinity]^2*
    ((67*S[-1, Infinity]^4)/420 - (277*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((163*S[-1, Infinity]^5)/1120 - 
     (299*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2349*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (169*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/180 - (79*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-157*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/5040 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1511*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (753*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-535*S[-1, Infinity]^2)/128 - (6711*S[2, Infinity])/896)*
      S[5, Infinity] + (84545*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-25*S[-1, Infinity]^4)/192 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 - S[2, Infinity]^2/2240 + 
       S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-11*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-59*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] + 
       364*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1531840*S[-7, -1, Infinity] + 165439*S[5, 3, Infinity] + 
     111360*S[-5, -1, -1, -1, Infinity] + 139520*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, -1, 1, 1, -1, 1, Infinity] -> 
  (-41*S[-1, Infinity]^8)/6720 - (983*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (355861*S[2, Infinity]^4)/196000 + 
   ((-1497*S[-1, Infinity]^2)/1792 - (8719*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((61*S[-1, Infinity]^3)/96 + 
     (5219*S[-1, Infinity]*S[2, Infinity])/448 + (45135*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((67*S[-1, Infinity]^4)/420 - 
     (277*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((163*S[-1, Infinity]^5)/1120 - 
     (299*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (19361*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (169*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/180 - (79*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-157*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((23*S[-1, Infinity]^7)/5040 - 
     (29*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1511*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     (753*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-535*S[-1, Infinity]^2)/128 - (6711*S[2, Infinity])/896)*
      S[5, Infinity] + (110305*S[7, Infinity])/3584 + 
     S[3, Infinity]*((-25*S[-1, Infinity]^4)/192 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/32 - (3809*S[2, Infinity]^2)/
        2240 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-11*S[-5, -1, Infinity] + 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-59*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] + 
       364*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1531840*S[-7, -1, Infinity] + 176191*S[5, 3, Infinity] + 
     111360*S[-5, -1, -1, -1, Infinity] + 139520*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[1, -1, -1, -1, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/2520 + (971*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (4967527*S[2, Infinity]^4)/2352000 + 
   ((-1193*S[-1, Infinity]^2)/1792 - (4265*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((9*S[-1, Infinity]^3)/4 + 
     (39*S[-1, Infinity]*S[2, Infinity])/14 + (33575*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((129*S[-1, Infinity]^4)/1120 - 
     (93*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/2240 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (8977*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (323*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - (249*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-33*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/1680 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (149*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (-S[-1, Infinity]^4/12 + (S[-1, Infinity]^2*S[2, Infinity])/2 - 
       (143*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-535*S[-1, Infinity]^2)/128 - (3735*S[2, Infinity])/896)*
      S[5, Infinity] + (67531*S[7, Infinity])/3584 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(43*S[-5, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (905920*S[-7, -1, Infinity] + 87931*S[5, 3, Infinity] + 
     42240*S[-5, -1, -1, -1, Infinity] + 119040*S[-5, -1, 1, 1, Infinity] - 
     680960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, -1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/2520 + 
   (971*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (3162983*S[2, Infinity]^4)/2352000 + 
   ((-1193*S[-1, Infinity]^2)/1792 - (2473*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((9*S[-1, Infinity]^3)/4 - 
     (17*S[-1, Infinity]*S[2, Infinity])/14 - (9433*S[3, Infinity])/7168)*
    S[5, Infinity] + 11*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((129*S[-1, Infinity]^4)/1120 - 
     (93*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/2240 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5393*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (323*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - (249*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-33*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/1680 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (149*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (-S[-1, Infinity]^4/12 + (S[-1, Infinity]^2*S[2, Infinity])/2 + 
       (61*S[2, Infinity]^2)/112)*S[3, Infinity] + 
     (215*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-535*S[-1, Infinity]^2)/128 - (151*S[2, Infinity])/896)*
      S[5, Infinity] + (28107*S[7, Infinity])/3584 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/80 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(43*S[-5, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (905920*S[-7, -1, Infinity] + 113019*S[5, 3, Infinity] + 
     42240*S[-5, -1, -1, -1, Infinity] + 119040*S[-5, -1, 1, 1, Infinity] - 
     680960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, 1, -1, -1, -1, -1, Infinity] -> (79*S[-1, Infinity]^8)/20160 + 
   (117*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (112503*S[2, Infinity]^4)/112000 + 
   ((589*S[-1, Infinity]^2)/256 + (235*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-221*S[-1, Infinity]^3)/64 - 
     (951*S[-1, Infinity]*S[2, Infinity])/128 + (2677*S[3, Infinity])/1024)*
    S[5, Infinity] + S[2, Infinity]^2*(S[-1, Infinity]^4/10 - 
     (3*S[-1, 1, 1, 1, Infinity])/5) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-83*S[-1, Infinity]^5)/960 - (5*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (105*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 - (57*S[-5, -1, Infinity])/8 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]^2*(7*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/2520 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     ((7*S[-1, Infinity]^4)/96 + (7*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (81*S[2, Infinity]^2)/140)*S[3, Infinity] + 
     (249*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-81*S[-1, Infinity]^2)/128 - (5115*S[2, Infinity])/896)*
      S[5, Infinity] + (58701*S[7, Infinity])/3584 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 + (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (3*S[-1, Infinity]*(17*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (3*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (24000*S[-7, -1, Infinity] + 4267*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] + 
     15360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, -1, -1, 1, -1, -1, -1, 1, Infinity] -> (79*S[-1, Infinity]^8)/20160 + 
   (117*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (203127*S[2, Infinity]^4)/112000 + 
   ((589*S[-1, Infinity]^2)/256 - (277*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-221*S[-1, Infinity]^3)/64 - 
     (375*S[-1, Infinity]*S[2, Infinity])/128 + (13941*S[3, Infinity])/1024)*
    S[5, Infinity] - (75*S[-1, Infinity]*S[7, Infinity])/8 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/10 - (3*S[-1, 1, 1, 1, Infinity])/5) - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/960 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (1421*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 - (57*S[-5, -1, Infinity])/8 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]^2*(7*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/2520 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     ((7*S[-1, Infinity]^4)/96 + (7*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (277*S[2, Infinity]^2)/140)*S[3, Infinity] + 
     (249*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((-81*S[-1, Infinity]^2)/128 - (9147*S[2, Infinity])/896)*
      S[5, Infinity] + (92301*S[7, Infinity])/3584 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 + (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (3*S[-1, Infinity]*(17*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
     (3*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*(-8000*S[-7, -1, Infinity] - 3641*S[5, 3, Infinity] + 
      1280*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
      5120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/5120, 
 S[1, -1, -1, 1, -1, -1, 1, -1, Infinity] -> (-19*S[-1, Infinity]^8)/1440 + 
   (7*S[-1, Infinity]^4*S[2, Infinity]^2)/160 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + (18*S[2, Infinity]^4)/25 + 
   (131*S[-1, Infinity]^2*S[3, Infinity]^2)/256 + 
   (-2*S[-1, Infinity]^3 - 3*S[-1, Infinity]*S[2, Infinity] - 
     (21*S[3, Infinity])/4)*S[5, Infinity] + 3*S[-1, Infinity]*
    S[7, Infinity] + (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/96 - (7*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((7*S[-1, Infinity]^6)/96 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(5*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (1637*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-81*S[-1, Infinity]^2)/128 - (8979*S[2, Infinity])/896)*
      S[5, Infinity] + (232503*S[7, Infinity])/7168 + 
     S[3, Infinity]*((35*S[-1, Infinity]^4)/192 - 
       (49*S[-1, Infinity]^2*S[2, Infinity])/32 - (1773*S[2, Infinity]^2)/
        560 - (21*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(41*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, -1, -1, 1, -1, -1, 1, 1, Infinity] -> (-19*S[-1, Infinity]^8)/1440 + 
   (7*S[-1, Infinity]^4*S[2, Infinity]^2)/160 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + 
   (131*S[-1, Infinity]^2*S[3, Infinity]^2)/256 + 
   (-2*S[-1, Infinity]^3 - 3*S[-1, Infinity]*S[2, Infinity] - 
     (21*S[3, Infinity])/4)*S[5, Infinity] + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/96 - (7*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((7*S[-1, Infinity]^6)/96 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(5*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 - 
     (13*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/160 - 
     (1637*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((-81*S[-1, Infinity]^2)/128 - (8979*S[2, Infinity])/896)*
      S[5, Infinity] + (254007*S[7, Infinity])/7168 + 
     S[3, Infinity]*((35*S[-1, Infinity]^4)/192 - 
       (49*S[-1, Infinity]^2*S[2, Infinity])/32 - (1773*S[2, Infinity]^2)/
        560 - (21*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/60 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-1, Infinity]*(41*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[1, -1, -1, 1, -1, 1, -1, -1, Infinity] -> (-11*S[-1, Infinity]^8)/20160 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (636621*S[2, Infinity]^4)/
    392000 + ((1563*S[-1, Infinity]^2)/1792 + (5505*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((47*S[-1, Infinity]^3)/64 - 
     (13557*S[-1, Infinity]*S[2, Infinity])/896 - (20073*S[3, Infinity])/
      1792)*S[5, Infinity] + (67*S[-1, Infinity]*S[7, Infinity])/16 + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/160 + (717*S[-5, -1, Infinity])/56) + 
   S[2, Infinity]^2*((187*S[-1, Infinity]^4)/1120 + 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((2*S[-1, Infinity]^5)/21 - 
     (211*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (14169*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(S[-1, Infinity]^7/1260 - 
     (S[-1, Infinity]^5*S[2, Infinity])/120 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (337*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^4)/192 + (9*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (179*S[2, Infinity]^2)/280)*S[3, Infinity] - 
     (1425*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((375*S[-1, Infinity]^2)/128 + (4899*S[2, Infinity])/896)*
      S[5, Infinity] - (92049*S[7, Infinity])/7168 + 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (3*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*(248000*S[-7, -1, Infinity] + 44753*S[5, 3, Infinity] + 
      34560*S[-5, -1, -1, -1, Infinity] + 23680*S[-5, -1, 1, 1, Infinity] - 
      89600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[1, -1, -1, 1, -1, 1, -1, 1, Infinity] -> (-11*S[-1, Infinity]^8)/20160 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (494157*S[2, Infinity]^4)/
    392000 + ((1563*S[-1, Infinity]^2)/1792 + (5505*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((47*S[-1, Infinity]^3)/64 - 
     (13557*S[-1, Infinity]*S[2, Infinity])/896 - (19177*S[3, Infinity])/
      1792)*S[5, Infinity] + (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/160 + (717*S[-5, -1, Infinity])/56) + 
   S[2, Infinity]^2*((187*S[-1, Infinity]^4)/1120 + 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((2*S[-1, Infinity]^5)/21 - 
     (211*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (13049*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(S[-1, Infinity]^7/1260 - 
     (S[-1, Infinity]^5*S[2, Infinity])/120 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (337*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^4)/192 + (9*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (39*S[2, Infinity]^2)/280)*S[3, Infinity] - 
     (1425*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((375*S[-1, Infinity]^2)/128 + (4899*S[2, Infinity])/896)*
      S[5, Infinity] - (62033*S[7, Infinity])/7168 + 
     (33*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (3*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-744000*S[-7, -1, Infinity] - 164723*S[5, 3, Infinity] - 
     103680*S[-5, -1, -1, -1, Infinity] - 71040*S[-5, -1, 1, 1, Infinity] + 
     268800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, -1, -1, 1, -1, 1, 1, -1, Infinity] -> (13*S[-1, Infinity]^8)/2520 - 
   (779*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (63097*S[2, Infinity]^4)/470400 + ((2237*S[-1, Infinity]^2)/1792 + 
     (11961*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((55*S[-1, Infinity]^3)/96 - (9623*S[-1, Infinity]*S[2, Infinity])/448 - 
     (37839*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/560 + 
     (89*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((307*S[-1, Infinity]^5)/6720 - 
     (643*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (25393*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (307*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 + (311*S[-5, -1, Infinity])/
      28 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(85*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/315 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (159*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((375*S[-1, Infinity]^2)/128 + (6519*S[2, Infinity])/896)*
      S[5, Infinity] - (32393*S[7, Infinity])/1792 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 + (859*S[2, Infinity]^2)/
        560 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-9*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (11*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-337600*S[-7, -1, Infinity] - 59299*S[5, 3, Infinity] - 
     45312*S[-5, -1, -1, -1, Infinity] - 22784*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 114688*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, -1, 1, -1, 1, 1, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/2520 - (779*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (22807*S[2, Infinity]^4)/470400 + 
   ((2237*S[-1, Infinity]^2)/1792 + (11065*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((55*S[-1, Infinity]^3)/96 - 
     (9399*S[-1, Infinity]*S[2, Infinity])/448 - (12751*S[3, Infinity])/7168)*
    S[5, Infinity] + (5*S[-1, Infinity]*S[7, Infinity])/8 + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/560 + 
     (89*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((307*S[-1, Infinity]^5)/6720 - 
     (643*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (24049*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (307*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 + (311*S[-5, -1, Infinity])/
      28 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(85*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/315 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/1680 - 
     (159*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((375*S[-1, Infinity]^2)/128 + (6071*S[2, Infinity])/896)*
      S[5, Infinity] - (33513*S[7, Infinity])/1792 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (15*S[-1, Infinity]^2*S[2, Infinity])/16 + (691*S[2, Infinity]^2)/
        560 + (7*S[-1, 1, 1, 1, Infinity])/4) + 
     S[2, Infinity]*(-S[-1, Infinity]^5/120 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-9*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (11*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-337600*S[-7, -1, Infinity] - 48547*S[5, 3, Infinity] - 
     45312*S[-5, -1, -1, -1, Infinity] - 22784*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 114688*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, -1, -1, 1, 1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/64 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (167803*S[2, Infinity]^4)/392000 + 
   ((715*S[-1, Infinity]^2)/896 + (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + (2*S[-1, Infinity]^3 - 
     (104*S[-1, Infinity]*S[2, Infinity])/7 + (10013*S[3, Infinity])/1792)*
    S[5, Infinity] - 4*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((211*S[-1, Infinity]^4)/3360 + 
     (17*S[-1, 1, 1, 1, Infinity])/70) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/1680 - 
     (39*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (255*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/90 + (173*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/504 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (557*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((91*S[-1, Infinity]^2)/32 + (3441*S[2, Infinity])/224)*S[5, Infinity] - 
     (77501*S[7, Infinity])/1792 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (451*S[2, Infinity]^2)/140 + 
       (21*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/120 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(47*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-350720*S[-7, -1, Infinity] - 58971*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, 1, 1, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/64 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (745723*S[2, Infinity]^4)/392000 + 
   ((715*S[-1, Infinity]^2)/896 + (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + (2*S[-1, Infinity]^3 - 
     (104*S[-1, Infinity]*S[2, Infinity])/7 - (11491*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((211*S[-1, Infinity]^4)/3360 + 
     (17*S[-1, 1, 1, 1, Infinity])/70) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/1680 - 
     (39*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1947*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/90 + (173*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/504 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (143*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (557*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((91*S[-1, Infinity]^2)/32 + (3441*S[2, Infinity])/224)*S[5, Infinity] - 
     (84669*S[7, Infinity])/1792 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/4 + (787*S[2, Infinity]^2)/140 + 
       (21*S[-1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
      (-S[-1, Infinity]^5/120 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
        2 - 2*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(47*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-350720*S[-7, -1, Infinity] - 94811*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, -1, -1, 1, 1, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/672 + (5003*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (2856313*S[2, Infinity]^4)/2352000 + 
   ((-65*S[-1, Infinity]^2)/112 + (6911*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((223*S[-1, Infinity]^3)/96 - 
     (4727*S[-1, Infinity]*S[2, Infinity])/448 + (3483*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((19*S[-1, Infinity]^4)/3360 + 
     (121*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((631*S[-1, Infinity]^5)/6720 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (22599*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (435*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 + (177*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(187*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/504 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (3593*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     ((-7*S[-1, Infinity]^4)/192 - (7*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (17*S[2, Infinity]^2)/20)*S[3, Infinity] - 
     (207*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((91*S[-1, Infinity]^2)/32 + (463*S[2, Infinity])/64)*S[5, Infinity] - 
     (20987*S[7, Infinity])/1024 + S[2, Infinity]*(-S[-1, Infinity]^5/120 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (9*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       36*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-1654080*S[-7, -1, Infinity] - 239789*S[5, 3, Infinity] - 
     131840*S[-5, -1, -1, -1, Infinity] - 154880*S[-5, -1, 1, 1, Infinity] + 
     896000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, 1, 1, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/672 + 
   (5003*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (3546233*S[2, Infinity]^4)/2352000 + 
   ((-65*S[-1, Infinity]^2)/112 + (8703*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((223*S[-1, Infinity]^3)/96 - 
     (6071*S[-1, Infinity]*S[2, Infinity])/448 + (7067*S[3, Infinity])/7168)*
    S[5, Infinity] + (109*S[-1, Infinity]*S[7, Infinity])/16 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/3360 + 
     (121*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((631*S[-1, Infinity]^5)/6720 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (20359*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (435*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 + (177*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(187*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(S[-1, Infinity]^7/504 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (3593*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     ((-7*S[-1, Infinity]^4)/192 - (7*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (7*S[2, Infinity]^2)/20)*S[3, Infinity] - 
     (207*S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((91*S[-1, Infinity]^2)/32 + (655*S[2, Infinity])/64)*S[5, Infinity] - 
     (27963*S[7, Infinity])/1024 + S[2, Infinity]*(-S[-1, Infinity]^5/120 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*(S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (9*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       36*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-1654080*S[-7, -1, Infinity] - 186029*S[5, 3, Infinity] - 
     131840*S[-5, -1, -1, -1, Infinity] - 154880*S[-5, -1, 1, 1, Infinity] + 
     896000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, -1, 1, 1, 1, -1, -1, Infinity] -> (-23*S[-1, Infinity]^8)/4032 + 
   (263*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (14317*S[2, Infinity]^4)/22400 + ((-47*S[-1, Infinity]^2)/128 - 
     (205*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((15*S[-1, Infinity]*S[2, Infinity])/4 + (7855*S[3, Infinity])/1024)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/192 - 
     (S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 + (5*S[-5, -1, Infinity])/2 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (305*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (151*S[-1, Infinity]*S[3, Infinity]^2)/128 - 
     (235*S[2, Infinity]*S[5, Infinity])/64 + (8415*S[7, Infinity])/1024 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 - 2*S[2, Infinity]^2 - 
       (7*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (-8000*S[-7, -1, Infinity] + 1207*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[1, -1, -1, 1, 1, 1, -1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/4032 + (263*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (76269*S[2, Infinity]^4)/22400 + 
   ((-47*S[-1, Infinity]^2)/128 - (205*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((11*S[-1, Infinity]*S[2, Infinity])/4 + 
     (1711*S[3, Infinity])/1024)*S[5, Infinity] + 
   10*S[-1, Infinity]*S[7, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/192 - 
     (S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (117*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 + (5*S[-5, -1, Infinity])/2 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 - 
     (305*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (151*S[-1, Infinity]*S[3, Infinity]^2)/128 - 
     (171*S[2, Infinity]*S[5, Infinity])/64 - (1825*S[7, Infinity])/1024 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 - (4*S[2, Infinity]^2)/5 - 
       (7*S[-1, 1, 1, 1, Infinity])/4) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (-8000*S[-7, -1, Infinity] + 183*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[1, -1, -1, 1, 1, 1, 1, -1, Infinity] -> 
  (72*S[2, Infinity]^4)/25 + 6*S[-1, Infinity]*S[7, Infinity] - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*(-6*S[7, Infinity] + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   21*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, -1, 1, 1, 1, 1, 1, Infinity] -> 
  -(S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[1, Infinity]*(S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   21*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, -1, 1, -1, -1, -1, -1, -1, Infinity] -> (59*S[-1, Infinity]^8)/40320 - 
   (1801*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (6007*S[2, Infinity]^4)/18816 + ((2995*S[-1, Infinity]^2)/896 + 
     (5343*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-39*S[-1, Infinity]^3)/16 - (8061*S[-1, Infinity]*S[2, Infinity])/224 - 
     (53661*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/480 + (795*S[-5, -1, Infinity])/
      56) + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/280 + 
     (99*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/336 - (157*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (501*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (99*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]^2*(93*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/5040 + 
     (S[-1, Infinity]^5*S[2, Infinity])/48 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     ((11*S[-1, Infinity]^4)/96 + (13*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (251*S[2, Infinity]^2)/160)*S[3, Infinity] - 
     (223*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((1119*S[-1, Infinity]^2)/128 + (1641*S[2, Infinity])/128)*
      S[5, Infinity] - (63*S[7, Infinity])/2 - 3*S[-1, Infinity]*
      (-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (3*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
        12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (3*(79872*S[-7, -1, Infinity] + 15359*S[5, 3, Infinity] + 
      12800*S[-5, -1, -1, -1, Infinity] + 4224*S[-5, -1, 1, 1, Infinity] - 
      21504*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/3584, 
 S[1, -1, 1, -1, -1, -1, -1, 1, Infinity] -> (59*S[-1, Infinity]^8)/40320 - 
   (1801*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (4041269*S[2, Infinity]^4)/2352000 + 
   ((2995*S[-1, Infinity]^2)/896 + (3999*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-39*S[-1, Infinity]^3)/16 - 
     (6381*S[-1, Infinity]*S[2, Infinity])/224 + (5475*S[3, Infinity])/3584)*
    S[5, Infinity] - (291*S[-1, Infinity]*S[7, Infinity])/16 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/480 + (795*S[-5, -1, Infinity])/
      56) + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/280 + 
     (99*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/336 - (157*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (1917*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (99*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]^2*(93*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-11*S[-1, Infinity]^7)/5040 + 
     (S[-1, Infinity]^5*S[2, Infinity])/48 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     ((11*S[-1, Infinity]^4)/96 + (13*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (17*S[2, Infinity]^2)/32)*S[3, Infinity] - 
     (223*S[-1, Infinity]*S[3, Infinity]^2)/64 + 
     ((1119*S[-1, Infinity]^2)/128 + (681*S[2, Infinity])/128)*
      S[5, Infinity] - (213*S[7, Infinity])/16 - 3*S[-1, Infinity]*
      (-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]) + 
     (3*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
        12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (3*(399360*S[-7, -1, Infinity] + 66043*S[5, 3, Infinity] + 
      64000*S[-5, -1, -1, -1, Infinity] + 21120*S[-5, -1, 1, 1, Infinity] - 
      107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[1, -1, 1, -1, -1, -1, 1, -1, Infinity] -> (-79*S[-1, Infinity]^8)/10080 - 
   (773*S[-1, Infinity]^2*S[2, Infinity]^3)/480 - 
   (2515281*S[2, Infinity]^4)/784000 + 
   ((2383*S[-1, Infinity]^2)/896 + (22341*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/64 - 
     (33951*S[-1, Infinity]*S[2, Infinity])/896 + (13035*S[3, Infinity])/
      7168)*S[5, Infinity] - (131*S[-1, Infinity]*S[7, Infinity])/8 + 
   (381*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-279*S[-1, Infinity]^4)/1120 + 
     (3*S[-1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/6720 - 
     (187*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (10455*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (135*S[-1, 1, 1, 1, 1, Infinity])/56) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((3*S[-1, Infinity]^6)/40 + 
     (72*S[-5, -1, Infinity])/7 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((7*S[-1, Infinity]^7)/720 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (1051*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (1457*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((1119*S[-1, Infinity]^2)/128 + (13053*S[2, Infinity])/896)*
      S[5, Infinity] - (254721*S[7, Infinity])/7168 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 + (3781*S[2, Infinity]^2)/
        2240 - (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-19*S[-1, Infinity]^5)/240 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*(907840*S[-7, -1, Infinity] + 175257*S[5, 3, Infinity] + 
      162560*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity] - 
      179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[1, -1, 1, -1, -1, -1, 1, 1, Infinity] -> (-79*S[-1, Infinity]^8)/10080 - 
   (773*S[-1, Infinity]^2*S[2, Infinity]^3)/480 - 
   (39633*S[2, Infinity]^4)/784000 + ((2383*S[-1, Infinity]^2)/896 + 
     (22341*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-125*S[-1, Infinity]^3)/64 - (38879*S[-1, Infinity]*S[2, Infinity])/
      896 - (108821*S[3, Infinity])/7168)*S[5, Infinity] + 
   (381*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-279*S[-1, Infinity]^4)/1120 + 
     (3*S[-1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/6720 - 
     (187*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (63923*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (135*S[-1, 1, 1, 1, 1, Infinity])/56) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((3*S[-1, Infinity]^6)/40 + 
     (72*S[-5, -1, Infinity])/7 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((7*S[-1, Infinity]^7)/720 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (1051*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (1457*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((1119*S[-1, Infinity]^2)/128 + (17981*S[2, Infinity])/896)*
      S[5, Infinity] - (372097*S[7, Infinity])/7168 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*(S[-1, Infinity]^4/48 + 
       (11*S[-1, Infinity]^2*S[2, Infinity])/8 + (1921*S[2, Infinity]^2)/
        448 - (3*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-19*S[-1, Infinity]^5)/240 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-2723520*S[-7, -1, Infinity] - 608203*S[5, 3, Infinity] - 
     487680*S[-5, -1, -1, -1, Infinity] - 49920*S[-5, -1, 1, 1, Infinity] + 
     537600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, -1, 1, -1, -1, Infinity] -> (-121*S[-1, Infinity]^8)/40320 - 
   (373*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1171*S[2, Infinity]^4)/1120 + ((29*S[-1, Infinity]^2)/64 + 
     (2265*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-21*S[-1, Infinity]^3)/64 - (3537*S[-1, Infinity]*S[2, Infinity])/128 - 
     (6939*S[3, Infinity])/1024)*S[5, Infinity] - 
   (51*S[-1, Infinity]*S[7, Infinity])/8 + S[2, Infinity]^2*
    ((-5*S[-1, Infinity]^4)/32 + (6*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/192 - S[-1, Infinity]^3*
      S[2, Infinity] - (1167*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (99*S[-1, 1, 1, 1, 1, Infinity])/8) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/480 + (153*S[-5, -1, Infinity])/8 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(4*S[-5, -1, Infinity] - 
      3*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/5040 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (S[-1, Infinity]^4/192 - (S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (545*S[2, Infinity]^2)/448)*S[3, Infinity] - 
     (2333*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((849*S[-1, Infinity]^2)/128 + (12057*S[2, Infinity])/896)*
      S[5, Infinity] - (16539*S[7, Infinity])/448 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/240 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]*(5*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*(25408*S[-7, -1, Infinity] + 4083*S[5, 3, Infinity] + 
      2816*S[-5, -1, -1, -1, Infinity] + 2048*S[-5, -1, 1, 1, Infinity] - 
      10240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/1024, 
 S[1, -1, 1, -1, -1, 1, -1, 1, Infinity] -> (-121*S[-1, Infinity]^8)/40320 - 
   (373*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (17231*S[2, Infinity]^4)/28000 + ((29*S[-1, Infinity]^2)/64 + 
     (2265*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-21*S[-1, Infinity]^3)/64 - (4113*S[-1, Infinity]*S[2, Infinity])/128 - 
     (6939*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/32 + (6*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*((19*S[-1, Infinity]^5)/192 - 
     S[-1, Infinity]^3*S[2, Infinity] - 
     (1167*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (99*S[-1, 1, 1, 1, 1, Infinity])/8) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/480 + (153*S[-5, -1, Infinity])/8 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(4*S[-5, -1, Infinity] - 
      3*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[1, Infinity]*((19*S[-1, Infinity]^7)/5040 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (13*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (S[-1, Infinity]^4/192 - (S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (545*S[2, Infinity]^2)/448)*S[3, Infinity] - 
     (2333*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((849*S[-1, Infinity]^2)/128 + (16089*S[2, Infinity])/896)*
      S[5, Infinity] - (19395*S[7, Infinity])/448 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/240 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]*(5*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*(127040*S[-7, -1, Infinity] + 15807*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
      51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/5120, 
 S[1, -1, 1, -1, -1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/10080 - 
   (527*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (495331*S[2, Infinity]^4)/392000 + 
   ((481*S[-1, Infinity]^2)/448 + (2969*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/4 - 
     (625*S[-1, Infinity]*S[2, Infinity])/28 - (887*S[3, Infinity])/224)*
    S[5, Infinity] + S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/84 + 
     (123*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/560 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (7649*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (137*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + (407*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/5040 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (493*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((849*S[-1, Infinity]^2)/128 + (11359*S[2, Infinity])/896)*
      S[5, Infinity] - (258053*S[7, Infinity])/7168 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 + (69*S[2, Infinity]^2)/112 + 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-13*S[-5, -1, Infinity] - 
        70*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] - 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-32720*S[-7, -1, Infinity] - 3907*S[5, 3, Infinity] - 
     3280*S[-5, -1, -1, -1, Infinity] - 2600*S[-5, -1, 1, 1, Infinity] + 
     17360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/560, 
 S[1, -1, 1, -1, -1, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/10080 - 
   (527*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (580451*S[2, Infinity]^4)/392000 + 
   ((481*S[-1, Infinity]^2)/448 + (2745*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/4 - 
     (345*S[-1, Infinity]*S[2, Infinity])/28 - (439*S[3, Infinity])/224)*
    S[5, Infinity] - 17*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/84 + 
     (123*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/560 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (7201*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (137*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + (407*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/5040 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (493*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((849*S[-1, Infinity]^2)/128 + (2399*S[2, Infinity])/896)*
      S[5, Infinity] - (136197*S[7, Infinity])/7168 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (7*S[-1, Infinity]^2*S[2, Infinity])/32 + (121*S[2, Infinity]^2)/560 + 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (S[-1, Infinity]*(-13*S[-5, -1, Infinity] - 
        70*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] - 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-32720*S[-7, -1, Infinity] - 5307*S[5, 3, Infinity] - 
     3280*S[-5, -1, -1, -1, Infinity] - 2600*S[-5, -1, 1, 1, Infinity] + 
     17360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/560, 
 S[1, -1, 1, -1, 1, -1, -1, -1, Infinity] -> (23*S[-1, Infinity]^8)/2520 - 
   (703*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2028*S[2, Infinity]^4)/6125 + ((-703*S[-1, Infinity]^2)/1792 + 
     (3435*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((353*S[-1, Infinity]^3)/192 - (7703*S[-1, Infinity]*S[2, Infinity])/896 - 
     (31189*S[3, Infinity])/7168)*S[5, Infinity] + 
   (67*S[-1, Infinity]*S[7, Infinity])/16 + S[2, Infinity]^2*
    ((611*S[-1, Infinity]^4)/3360 + (3*S[-1, 1, 1, 1, Infinity])/35) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-463*S[-1, Infinity]^5)/6720 + 
     (103*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (7543*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-41*S[-1, Infinity]^6)/480 + (27*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(45*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-59*S[-1, Infinity]^7)/5040 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
     (463*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (79*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((3*S[-1, Infinity]^2)/128 + (7461*S[2, Infinity])/896)*S[5, Infinity] - 
     (92049*S[7, Infinity])/7168 + S[3, Infinity]*
      ((19*S[-1, Infinity]^4)/192 - (19*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (219*S[2, Infinity]^2)/1120 + (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((23*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]*(17*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*(138560*S[-7, -1, Infinity] + 26937*S[5, 3, Infinity] + 
      21760*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] - 
      35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[1, -1, 1, -1, 1, -1, -1, 1, Infinity] -> (23*S[-1, Infinity]^8)/2520 - 
   (703*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3918*S[2, Infinity]^4)/6125 + ((-703*S[-1, Infinity]^2)/1792 + 
     (3435*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((353*S[-1, Infinity]^3)/192 - (3671*S[-1, Infinity]*S[2, Infinity])/896 - 
     (41941*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((611*S[-1, Infinity]^4)/3360 + 
     (3*S[-1, 1, 1, 1, Infinity])/35) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-463*S[-1, Infinity]^5)/6720 + 
     (103*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (14263*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-41*S[-1, Infinity]^6)/480 + (27*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(45*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((-59*S[-1, Infinity]^7)/5040 - 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
     (463*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (79*S[-1, Infinity]*S[3, Infinity]^2)/448 + 
     ((3*S[-1, Infinity]^2)/128 + (3429*S[2, Infinity])/896)*S[5, Infinity] - 
     (62033*S[7, Infinity])/7168 + S[3, Infinity]*
      ((19*S[-1, Infinity]^4)/192 - (19*S[-1, Infinity]^2*S[2, Infinity])/
        32 + (1899*S[2, Infinity]^2)/1120 + (3*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((23*S[-1, Infinity]^5)/240 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]*(17*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (3*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-415680*S[-7, -1, Infinity] - 116651*S[5, 3, Infinity] - 
     65280*S[-5, -1, -1, -1, Infinity] - 42240*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/5760 + 
   (S[-1, Infinity]^6*S[2, Infinity])/240 - 
   (31*S[-1, Infinity]^4*S[2, Infinity]^2)/480 + 
   (123*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (19*S[2, Infinity]^4)/5600 + (-S[-1, Infinity]^5/240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/320)*S[3, Infinity] - 
   (S[-1, Infinity]^2*S[3, Infinity]^2)/256 + 
   ((-19*S[-1, Infinity]^3)/192 + (35*S[-1, Infinity]*S[2, Infinity])/128 - 
     (29*S[3, Infinity])/512)*S[5, Infinity] + 
   S[1, Infinity]*(S[-1, Infinity]^7/5040 - 
     (S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (123*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (S[-1, Infinity]^4/192 - (S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (3*S[2, Infinity]^2)/64)*S[3, Infinity] + 
     (S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((3*S[-1, Infinity]^2)/128 - (3*S[2, Infinity])/128)*S[5, Infinity] - 
     (9*S[7, Infinity])/512), S[1, -1, 1, -1, 1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/5760 + (S[-1, Infinity]^6*S[2, Infinity])/240 - 
   (31*S[-1, Infinity]^4*S[2, Infinity]^2)/480 + 
   (123*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (33*S[2, Infinity]^4)/5600 + (-S[-1, Infinity]^5/240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (143*S[-1, Infinity]*S[2, Infinity]^2)/320)*S[3, Infinity] - 
   (S[-1, Infinity]^2*S[3, Infinity]^2)/256 + 
   ((-19*S[-1, Infinity]^3)/192 + (35*S[-1, Infinity]*S[2, Infinity])/128 + 
     (227*S[3, Infinity])/512)*S[5, Infinity] + 
   S[1, Infinity]*(S[-1, Infinity]^7/5040 - 
     (S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (123*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (S[-1, Infinity]^4/192 - (S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (29*S[2, Infinity]^2)/64)*S[3, Infinity] + 
     (S[-1, Infinity]*S[3, Infinity]^2)/128 + 
     ((3*S[-1, Infinity]^2)/128 - (3*S[2, Infinity])/128)*S[5, Infinity] + 
     (119*S[7, Infinity])/512) - (S[-1, Infinity]*S[7, Infinity])/4, 
 S[1, -1, 1, -1, 1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/560 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - 
   (16733*S[2, Infinity]^4)/18816 + ((1903*S[-1, Infinity]^2)/1792 - 
     (481*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-187*S[-1, Infinity]^3)/96 - (67*S[-1, Infinity]*S[2, Infinity])/448 + 
     (5077*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/140 - 
     (9*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/672 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (461*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/1440 - (139*S[-5, -1, Infinity])/
      28 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(17*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/5040 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (529*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     (111*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((33*S[-1, Infinity]^2)/128 - (2445*S[2, Infinity])/896)*
      S[5, Infinity] + (51375*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (1371*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-13*S[-5, -1, Infinity] + 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-32*S[-5, 1, 1, Infinity] + 45*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (4624*S[-7, -1, Infinity] + 905*S[5, 3, Infinity] + 
     288*S[-5, -1, -1, -1, Infinity] + 832*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[1, -1, 1, -1, 1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/560 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - (123089*S[2, Infinity]^4)/
    94080 + ((1903*S[-1, Infinity]^2)/1792 - (1377*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-187*S[-1, Infinity]^3)/96 + 
     (2173*S[-1, Infinity]*S[2, Infinity])/448 + (14037*S[3, Infinity])/1792)*
    S[5, Infinity] - (61*S[-1, Infinity]*S[7, Infinity])/8 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/140 - 
     (9*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/672 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2529*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/1440 - (139*S[-5, -1, Infinity])/
      28 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(17*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/5040 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (529*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     (111*S[-1, Infinity]*S[3, Infinity]^2)/896 + 
     ((33*S[-1, Infinity]^2)/128 - (6925*S[2, Infinity])/896)*
      S[5, Infinity] + (106031*S[7, Infinity])/7168 + 
     S[3, Infinity]*(S[-1, Infinity]^4/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 - (1819*S[2, Infinity]^2)/
        2240 - S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]) + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(-13*S[-5, -1, Infinity] + 
        21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-32*S[-5, 1, 1, Infinity] + 45*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (4624*S[-7, -1, Infinity] + 905*S[5, 3, Infinity] + 
     288*S[-5, -1, -1, -1, Infinity] + 832*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[1, -1, 1, -1, 1, 1, 1, -1, Infinity] -> (53*S[-1, Infinity]^8)/40320 - 
   (207*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1187203*S[2, Infinity]^4)/784000 + 
   ((983*S[-1, Infinity]^2)/1792 + (1927*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/3 - 
     (127*S[-1, Infinity]*S[2, Infinity])/28 + (29075*S[3, Infinity])/7168)*
    S[5, Infinity] - 4*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/112 - (47*S[-1, 1, 1, 1, Infinity])/
      140) - (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-419*S[-1, Infinity]^5)/6720 + 
     (9*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (2943*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (195*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 - (47*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(33*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/560 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (15*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (S[-1, Infinity]^4/24 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
       (73*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((33*S[-1, Infinity]^2)/128 + (1425*S[2, Infinity])/896)*
      S[5, Infinity] - (5161*S[7, Infinity])/3584 + 
     S[2, Infinity]*(S[-1, Infinity]^5/80 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-23360*S[-7, -1, Infinity] - 29593*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, -1, 1, 1, 1, 1, Infinity] -> (53*S[-1, Infinity]^8)/40320 - 
   (207*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (380803*S[2, Infinity]^4)/784000 + 
   ((983*S[-1, Infinity]^2)/1792 + (1927*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/3 - 
     (155*S[-1, Infinity]*S[2, Infinity])/28 - (13933*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*(-S[-1, Infinity]^4/112 - 
     (47*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-419*S[-1, Infinity]^5)/6720 + 
     (9*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (8319*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (195*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 - (47*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(33*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*(-S[-1, Infinity]^7/560 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (15*S[-1, Infinity]*S[2, Infinity]^3)/56 + 
     (S[-1, Infinity]^4/24 + (S[-1, Infinity]^2*S[2, Infinity])/4 + 
       (149*S[2, Infinity]^2)/112)*S[3, Infinity] + 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((33*S[-1, Infinity]^2)/128 + (2321*S[2, Infinity])/896)*
      S[5, Infinity] - (19497*S[7, Infinity])/3584 + 
     S[2, Infinity]*(S[-1, Infinity]^5/80 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(13*S[-5, -1, Infinity] + 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-23360*S[-7, -1, Infinity] - 65433*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 1, -1, -1, -1, -1, Infinity] -> (31*S[-1, Infinity]^8)/8064 + 
   (4889*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (468341*S[2, Infinity]^4)/784000 + 
   ((-1065*S[-1, Infinity]^2)/1792 - (11581*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((73*S[-1, Infinity]^3)/192 + 
     (17345*S[-1, Infinity]*S[2, Infinity])/896 + (30857*S[3, Infinity])/
      7168)*S[5, Infinity] + (115*S[-1, Infinity]*S[7, Infinity])/16 + 
   S[2, Infinity]^2*((65*S[-1, Infinity]^4)/672 - 
     (61*S[-1, 1, 1, 1, Infinity])/70) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-169*S[-1, Infinity]^5)/1344 + (859*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (31277*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (509*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/1440 - (775*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-57*S[-5, -1, Infinity] + 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/2520 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (377*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((7*S[-1, Infinity]^4)/96 - (7*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (569*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (429*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-283*S[-1, Infinity]^2)/64 - (3625*S[2, Infinity])/448)*
      S[5, Infinity] + (84545*S[7, Infinity])/3584 + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 - (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] + 
        49*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-59*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] + 
       364*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1962560*S[-7, -1, Infinity] + 311219*S[5, 3, Infinity] + 
     211200*S[-5, -1, -1, -1, Infinity] + 156160*S[-5, -1, 1, 1, Infinity] - 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 1, -1, -1, -1, 1, Infinity] -> (31*S[-1, Infinity]^8)/8064 + 
   (4889*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (76577*S[2, Infinity]^4)/156800 + ((-1065*S[-1, Infinity]^2)/1792 - 
     (11581*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((73*S[-1, Infinity]^3)/192 + (22273*S[-1, Infinity]*S[2, Infinity])/896 + 
     (38025*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((65*S[-1, Infinity]^4)/672 - 
     (61*S[-1, 1, 1, 1, Infinity])/70) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-169*S[-1, Infinity]^5)/1344 + (859*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (26797*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (509*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/1440 - (775*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-57*S[-5, -1, Infinity] + 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/2520 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (377*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((7*S[-1, Infinity]^4)/96 - (7*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (9*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (429*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-283*S[-1, Infinity]^2)/64 - (6089*S[2, Infinity])/448)*
      S[5, Infinity] + (110305*S[7, Infinity])/3584 + 
     S[2, Infinity]*(S[-1, Infinity]^5/24 - (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(-S[-5, -1, Infinity] + 
        49*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
     (-59*S[-5, 1, 1, Infinity] + 74*S[5, -1, -1, Infinity] + 
       364*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (392512*S[-7, -1, Infinity] + 47191*S[5, 3, Infinity] + 
     42240*S[-5, -1, -1, -1, Infinity] + 31232*S[-5, -1, 1, 1, Infinity] - 
     157696*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, -1, 1, 1, -1, -1, 1, -1, Infinity] -> (-11*S[-1, Infinity]^8)/2016 + 
   (3187*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (3828473*S[2, Infinity]^4)/2352000 + 
   ((-2607*S[-1, Infinity]^2)/1792 - (9487*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((11*S[-1, Infinity]^3)/6 + 
     (491*S[-1, Infinity]*S[2, Infinity])/28 + (48289*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/224 - 
     (71*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((283*S[-1, Infinity]^5)/3360 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (3495*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (263*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/18 - (177*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-103*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 + 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (67*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-283*S[-1, Infinity]^2)/64 - (4183*S[2, Infinity])/448)*
      S[5, Infinity] + (22569*S[7, Infinity])/896 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (47*S[2, Infinity]^2)/56 + 
       (21*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/120 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(29*S[-5, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1654080*S[-7, -1, Infinity] + 186029*S[5, 3, Infinity] + 
     131840*S[-5, -1, -1, -1, Infinity] + 154880*S[-5, -1, 1, 1, Infinity] - 
     896000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 1, -1, -1, 1, 1, Infinity] -> (-11*S[-1, Infinity]^8)/2016 + 
   (3187*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (2856313*S[2, Infinity]^4)/2352000 + 
   ((-2607*S[-1, Infinity]^2)/1792 - (7695*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((11*S[-1, Infinity]^3)/6 + 
     (211*S[-1, Infinity]*S[2, Infinity])/28 + (8865*S[3, Infinity])/7168)*
    S[5, Infinity] + 18*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/224 - 
     (71*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((283*S[-1, Infinity]^5)/3360 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (3495*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (263*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/18 - (177*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-103*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 + 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (67*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-283*S[-1, Infinity]^2)/64 + (297*S[2, Infinity])/448)*
      S[5, Infinity] + (6441*S[7, Infinity])/896 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/48 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/8 + (47*S[2, Infinity]^2)/56 + 
       (21*S[-1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
      ((-7*S[-1, Infinity]^5)/120 + (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2 - 3*S[-1, 1, 1, 1, 1, Infinity]) + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*(29*S[-5, -1, Infinity] + 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
     (-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1654080*S[-7, -1, Infinity] + 239789*S[5, 3, Infinity] + 
     131840*S[-5, -1, -1, -1, Infinity] + 154880*S[-5, -1, 1, 1, Infinity] - 
     896000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 1, -1, 1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/8064 + 
   (4097*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (91493*S[2, Infinity]^4)/336000 + ((-447*S[-1, Infinity]^2)/256 - 
     (1843*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((157*S[-1, Infinity]^3)/192 + (2755*S[-1, Infinity]*S[2, Infinity])/128 + 
     (9663*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - (67*S[-5, -1, Infinity])/
      8) + S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/480 - 
     (2*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/240 + (67*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (3359*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/1260 - 
     (S[-1, Infinity]^5*S[2, Infinity])/120 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (131*S[-1, Infinity]*S[2, Infinity]^3)/480 + 
     ((-7*S[-1, Infinity]^4)/192 - (9*S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (383*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (369*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-249*S[-1, Infinity]^2)/64 - (681*S[2, Infinity])/112)*
      S[5, Infinity] + (106031*S[7, Infinity])/7168 - 
     (S[-1, Infinity]*(39*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-32*S[-5, 1, 1, Infinity] + 45*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (201920*S[-7, -1, Infinity] + 41789*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, -1, 1, 1, -1, 1, -1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/8064 + 
   (4097*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (397067*S[2, Infinity]^4)/336000 + 
   ((-447*S[-1, Infinity]^2)/256 - (1459*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((157*S[-1, Infinity]^3)/192 + 
     (2435*S[-1, Infinity]*S[2, Infinity])/128 - (577*S[3, Infinity])/1024)*
    S[5, Infinity] + (61*S[-1, Infinity]*S[7, Infinity])/8 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - (67*S[-5, -1, Infinity])/
      8) + S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/480 - 
     (2*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/240 + (67*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (2911*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/1260 - 
     (S[-1, Infinity]^5*S[2, Infinity])/120 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/15 - 
     (131*S[-1, Infinity]*S[2, Infinity]^3)/480 + 
     ((-7*S[-1, Infinity]^4)/192 - (9*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (9*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (369*S[-1, Infinity]*S[3, Infinity]^2)/224 + 
     ((-249*S[-1, Infinity]^2)/64 - (401*S[2, Infinity])/112)*
      S[5, Infinity] + (51375*S[7, Infinity])/7168 - 
     (S[-1, Infinity]*(39*S[-5, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
     (-32*S[-5, 1, 1, Infinity] + 45*S[5, -1, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (201920*S[-7, -1, Infinity] + 34109*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[1, -1, 1, 1, -1, 1, 1, -1, Infinity] -> (5*S[-1, Infinity]^8)/2016 + 
   (981*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1371053*S[2, Infinity]^4)/784000 + 
   ((-2455*S[-1, Infinity]^2)/1792 - (13175*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((21*S[-1, Infinity]^3)/32 + 
     (10263*S[-1, Infinity]*S[2, Infinity])/448 - (107*S[3, Infinity])/7168)*
    S[5, Infinity] + (109*S[-1, Infinity]*S[7, Infinity])/16 - 
   (223*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/672 - 
     (11*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-111*S[-1, Infinity]^5)/2240 + 
     (223*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (34431*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (109*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 - (46*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/315 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (69*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (81*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-249*S[-1, Infinity]^2)/64 - (1657*S[2, Infinity])/224)*
      S[5, Infinity] + (123437*S[7, Infinity])/7168 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 - (333*S[2, Infinity]^2)/
        280 - (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-5*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1605440*S[-7, -1, Infinity] + 310053*S[5, 3, Infinity] + 
     285440*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] - 
     322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 1, -1, 1, 1, 1, Infinity] -> (5*S[-1, Infinity]^8)/2016 + 
   (981*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (89427*S[2, Infinity]^4)/784000 + ((-2455*S[-1, Infinity]^2)/1792 - 
     (13175*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((21*S[-1, Infinity]^3)/32 + (11159*S[-1, Infinity]*S[2, Infinity])/448 + 
     (67989*S[3, Infinity])/7168)*S[5, Infinity] - 
   (223*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/672 - 
     (11*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-111*S[-1, Infinity]^5)/2240 + 
     (223*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (37567*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (109*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 - (46*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/315 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (69*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (81*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-249*S[-1, Infinity]^2)/64 - (2105*S[2, Infinity])/224)*
      S[5, Infinity] + (172269*S[7, Infinity])/7168 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/192 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 - (529*S[2, Infinity]^2)/
        280 - (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-5*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1605440*S[-7, -1, Infinity] + 363813*S[5, 3, Infinity] + 
     285440*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] - 
     322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, -1, 1, 1, 1, -1, -1, -1, Infinity] -> (13*S[-1, Infinity]^8)/1680 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (19211*S[2, Infinity]^4)/28000 + 
   ((117*S[-1, Infinity]^2)/128 + (37*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/3 - (1941*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/240 + 
     (7*S[-1, 1, 1, 1, Infinity])/20) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/240 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (263*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-107*S[-1, Infinity]^6)/1440 + (7*S[-5, -1, Infinity])/
      4 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      10*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/504 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (S[-1, Infinity]^2/2 + (53*S[2, Infinity])/64)*S[5, Infinity] - 
     (1825*S[7, Infinity])/1024 + S[3, Infinity]*
      ((35*S[-1, Infinity]^4)/192 - (35*S[-1, Infinity]^2*S[2, Infinity])/
        32 - (6*S[2, Infinity]^2)/5 - (21*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/12 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) + 
     (5*S[-1, Infinity]*(S[-5, -1, Infinity] + 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (-6720*S[-7, -1, Infinity] + 1727*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, -1, 1, 1, 1, -1, -1, 1, Infinity] -> (13*S[-1, Infinity]^8)/1680 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (1173*S[2, Infinity]^4)/28000 + 
   ((117*S[-1, Infinity]^2)/128 - (283*S[2, Infinity])/128)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/3 + 5*S[-1, Infinity]*
      S[2, Infinity] + (2411*S[3, Infinity])/512)*S[5, Infinity] - 
   10*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    ((47*S[-1, Infinity]^4)/240 + (7*S[-1, 1, 1, 1, Infinity])/20) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/240 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (519*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-107*S[-1, Infinity]^6)/1440 + (7*S[-5, -1, Infinity])/
      4 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      10*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/504 - 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/24 - 
     (7*S[-1, Infinity]*S[2, Infinity]^3)/32 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (S[-1, Infinity]^2/2 - (267*S[2, Infinity])/64)*S[5, Infinity] + 
     (8415*S[7, Infinity])/1024 + S[3, Infinity]*
      ((35*S[-1, Infinity]^4)/192 - (35*S[-1, Infinity]^2*S[2, Infinity])/
        32 - 2*S[2, Infinity]^2 - (21*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*(S[-1, Infinity]^5/12 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     (5*S[-1, Infinity]*(-S[-5, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
     (5*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
        4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (-6720*S[-7, -1, Infinity] + 3519*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, -1, 1, 1, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/640 - 
   (19*S[-1, Infinity]^4*S[2, Infinity]^2)/480 - 
   (41*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - S[2, Infinity]^4/800 - 
   (S[2, Infinity]*S[3, Infinity]^2)/16 + 
   (-S[-1, Infinity]^3/96 + (S[-1, Infinity]*S[2, Infinity])/64 + 
     S[3, Infinity]/256)*S[5, Infinity] - 2*S[-1, Infinity]*S[7, Infinity] + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/960 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/160 - S[-1, 1, 1, 1, 1, Infinity]/
      8) + (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/504 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (71*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     ((-7*S[-1, Infinity]^4)/192 + (7*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       (3*S[2, Infinity]^2)/20)*S[3, Infinity] - 
     (3*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (S[-1, Infinity]^2/2 + (47*S[2, Infinity])/64)*S[5, Infinity] - 
     (2627*S[7, Infinity])/1024 + S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/4 + (S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, -1, 1, 1, 1, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/640 - 
   (19*S[-1, Infinity]^4*S[2, Infinity]^2)/480 - 
   (41*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (3*S[2, Infinity]^4)/800 + 
   (15*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   (-S[-1, Infinity]^3/96 - (127*S[-1, Infinity]*S[2, Infinity])/64 - 
     (511*S[3, Infinity])/256)*S[5, Infinity] + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/960 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/32 - S[-1, 1, 1, 1, 1, Infinity]/
      8) + (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/504 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/24 + 
     (71*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     ((-7*S[-1, Infinity]^4)/192 + (7*S[-1, Infinity]^2*S[2, Infinity])/32 + 
       S[2, Infinity]^2/20)*S[3, Infinity] - 
     (3*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (S[-1, Infinity]^2/2 + (175*S[2, Infinity])/64)*S[5, Infinity] - 
     (4675*S[7, Infinity])/1024 + S[2, Infinity]*(-S[-1, Infinity]^5/60 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/4 + (S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[1, -1, 1, 1, 1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/315 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (6829*S[2, Infinity]^4)/56000 + ((-47*S[-1, Infinity]^2)/128 + 
     (81*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/6 - S[-1, Infinity]*S[2, Infinity] - 
     (1395*S[3, Infinity])/512)*S[5, Infinity] + 
   4*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    ((-17*S[-1, Infinity]^4)/240 - S[-1, 1, 1, 1, Infinity]/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/960 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - (9*S[-5, -1, Infinity])/4 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (177*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     (47*S[2, Infinity]*S[5, Infinity])/32 - (1683*S[7, Infinity])/512 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (4*S[2, Infinity]^2)/5 + 
       (7*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/2 + (-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (15680*S[-7, -1, Infinity] - 439*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     12800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[1, -1, 1, 1, 1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/315 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (227*S[2, Infinity]^4)/320 + 
   ((-47*S[-1, Infinity]^2)/128 - (47*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/6 + (1165*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/240 - S[-1, 1, 1, 1, Infinity]/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/960 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/64 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (17*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - (9*S[-5, -1, Infinity])/4 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[1, Infinity]*(S[-1, Infinity]^7/252 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/12 + 
     (177*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     (15*S[2, Infinity]*S[5, Infinity])/32 + (365*S[7, Infinity])/512 + 
     S[3, Infinity]*((-7*S[-1, Infinity]^4)/96 + 
       (7*S[-1, Infinity]^2*S[2, Infinity])/16 + (2*S[2, Infinity]^2)/5 + 
       (7*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*(S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/2 + (-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
       4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (3136*S[-7, -1, Infinity] + 117*S[5, 3, Infinity] - 
     256*S[-5, -1, -1, -1, Infinity] + 512*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/512, 
 S[1, -1, 1, 1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/13440 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (5759*S[2, Infinity]^4)/11200 - 
   (S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[2, Infinity])/2 + 
     (135*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 - (5*S[-5, -1, Infinity])/4) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/160 - S[-1, 1, 1, 1, Infinity]/10) + 
   S[3, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*(S[7, Infinity] + S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (768*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 1024*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[1, -1, 1, 1, 1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/13440 - (S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (3839*S[2, Infinity]^4)/11200 - (S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (S[-1, Infinity]^3/6 - (S[-1, Infinity]*S[2, Infinity])/2 - 
     (121*S[3, Infinity])/256)*S[5, Infinity] + 
   S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]*
    (S[-1, Infinity]^6/720 - (5*S[-5, -1, Infinity])/4) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/160 - S[-1, 1, 1, 1, Infinity]/10) + 
   S[3, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (768*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 1024*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[1, 1, -1, -1, -1, -1, -1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/20160 - (125*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (787651*S[2, Infinity]^4)/784000 + 
   ((659*S[-1, Infinity]^2)/448 + (411*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-67*S[-1, Infinity]^3)/96 - 
     (1301*S[-1, Infinity]*S[2, Infinity])/224 - (15535*S[3, Infinity])/3584)*
    S[5, Infinity] + S[1, Infinity]^2*(S[-1, Infinity]^6/1440 + 
     (S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (61*S[2, Infinity]^3)/
      1120 + (-S[-1, Infinity]^3/48 - (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + S[3, Infinity]^2/64 - 
     (3*S[-1, Infinity]*S[5, Infinity])/32) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 - (281*S[-5, -1, Infinity])/56) + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-383*S[-1, Infinity]^4)/3360 - 
     (13*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-33*S[-1, Infinity]^5)/280 - (11*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (503*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/560 - 
     (S[-1, Infinity]^5*S[2, Infinity])/120 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (39*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     ((11*S[-1, Infinity]^4)/96 + (5*S[-1, Infinity]^2*S[2, Infinity])/8 + 
       (69*S[2, Infinity]^2)/112)*S[3, Infinity] - 
     (71*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((233*S[-1, Infinity]^2)/128 + (2609*S[2, Infinity])/896)*
      S[5, Infinity] - (14321*S[7, Infinity])/3584 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (3*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (153920*S[-7, -1, Infinity] - 15643*S[5, 3, Infinity] - 
     28160*S[-5, -1, -1, -1, Infinity] + 41600*S[-5, -1, 1, 1, Infinity] - 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -1, -1, -1, -1, 1, Infinity] -> (17*S[-1, Infinity]^8)/20160 - 
   (107*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (2325859*S[2, Infinity]^4)/
    784000 + ((659*S[-1, Infinity]^2)/448 - (37*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-67*S[-1, Infinity]^3)/96 - 
     (853*S[-1, Infinity]*S[2, Infinity])/224 + (23889*S[3, Infinity])/3584)*
    S[5, Infinity] + S[1, Infinity]^2*(S[-1, Infinity]^6/1440 + 
     (S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (187*S[2, Infinity]^3)/
      1120 + (-S[-1, Infinity]^3/48 - (S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + S[3, Infinity]^2/64 - 
     (3*S[-1, Infinity]*S[5, Infinity])/32) - 
   (157*S[-1, Infinity]*S[7, Infinity])/16 + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 - (281*S[-5, -1, Infinity])/56) + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-383*S[-1, Infinity]^4)/3360 - 
     (13*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-33*S[-1, Infinity]^5)/280 - (11*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (2071*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/560 - 
     (S[-1, Infinity]^5*S[2, Infinity])/120 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (397*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((11*S[-1, Infinity]^4)/96 + (5*S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (439*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (71*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((233*S[-1, Infinity]^2)/128 + (817*S[2, Infinity])/896)*
      S[5, Infinity] + (20847*S[7, Infinity])/3584 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (3*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (153920*S[-7, -1, Infinity] + 16613*S[5, 3, Infinity] - 
     28160*S[-5, -1, -1, -1, Infinity] + 41600*S[-5, -1, 1, 1, Infinity] - 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -1, -1, -1, 1, -1, Infinity] -> (151*S[-1, Infinity]^8)/10080 - 
   (1391*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1388243*S[2, Infinity]^4)/196000 + 
   ((1263*S[-1, Infinity]^2)/448 + (4141*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/384 - 
     (17887*S[-1, Infinity]*S[2, Infinity])/896 + (28179*S[3, Infinity])/
      1792)*S[5, Infinity] - 18*S[-1, Infinity]*S[7, Infinity] + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/672 - 
     (293*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-361*S[-1, Infinity]^5)/1120 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (643*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (94*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-773*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((31*S[-1, Infinity]^6)/1440 - 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (11*S[2, Infinity]^3)/14 + 
     ((-23*S[-1, Infinity]^3)/96 - (23*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (41*S[3, Infinity]^2)/128 + 
     (23*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      ((-5*S[-1, Infinity]^4)/96 - (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]*((-53*S[-1, Infinity]^7)/1680 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (193*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((163*S[-1, Infinity]^2)/128 + (7635*S[2, Infinity])/448)*
      S[5, Infinity] - (98145*S[7, Infinity])/3584 - 
     (30*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[3, Infinity]*(S[-1, Infinity]^4/3 + 
       (83*S[-1, Infinity]^2*S[2, Infinity])/32 + (639*S[2, Infinity]^2)/
        280 + (21*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (-23360*S[-7, -1, Infinity] - 29593*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, -1, -1, -1, 1, 1, Infinity] -> 
  (151*S[-1, Infinity]^8)/10080 - (751*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (422803*S[2, Infinity]^4)/196000 + 
   ((815*S[-1, Infinity]^2)/448 + (3245*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/384 - 
     (17887*S[-1, Infinity]*S[2, Infinity])/896 - (7661*S[3, Infinity])/1792)*
    S[5, Infinity] + (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/672 - 
     (293*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-361*S[-1, Infinity]^5)/1120 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (1987*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (94*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-773*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((31*S[-1, Infinity]^6)/1440 - 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (3*S[2, Infinity]^3)/14 + 
     ((-23*S[-1, Infinity]^3)/96 - (23*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (87*S[3, Infinity]^2)/128 + 
     (23*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      ((-5*S[-1, Infinity]^4)/96 - (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]*((-53*S[-1, Infinity]^7)/1680 + 
     (37*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (711*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (101*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((163*S[-1, Infinity]^2)/128 + (7635*S[2, Infinity])/448)*
      S[5, Infinity] - (162657*S[7, Infinity])/3584 - 
     (30*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[3, Infinity]*(S[-1, Infinity]^4/3 + 
       (83*S[-1, Infinity]^2*S[2, Infinity])/32 + (1983*S[2, Infinity]^2)/
        280 + (21*S[-1, 1, 1, 1, Infinity])/8) + 
     S[2, Infinity]*(S[-1, Infinity]^5/15 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (-23360*S[-7, -1, Infinity] - 65433*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, -1, -1, 1, -1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/4032 - (13*S[-1, Infinity]^2*S[2, Infinity]^3)/12 - 
   (2777253*S[2, Infinity]^4)/784000 + 
   ((479*S[-1, Infinity]^2)/224 + (5125*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-721*S[-1, Infinity]^3)/384 - 
     (19639*S[-1, Infinity]*S[2, Infinity])/896 + (31005*S[3, Infinity])/
      3584)*S[5, Infinity] - (131*S[-1, Infinity]*S[7, Infinity])/8 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-1199*S[-1, Infinity]^4)/3360 - 
     (47*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-267*S[-1, Infinity]^5)/1120 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (3499*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    ((13*S[-1, Infinity]^6)/1440 - (5*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (11*S[2, Infinity]^3)/
      160 + ((-23*S[-1, Infinity]^3)/96 - (23*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (167*S[3, Infinity]^2)/128 - 
     (369*S[-1, Infinity]*S[5, Infinity])/128 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-251*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/80 + 
     (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
     (329*S[-1, Infinity]*S[2, Infinity]^3)/480 + 
     ((85*S[-1, Infinity]^4)/192 + (15*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (43*S[2, Infinity]^2)/35)*S[3, Infinity] - 
     (323*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((1113*S[-1, Infinity]^2)/128 + (7839*S[2, Infinity])/448)*
      S[5, Infinity] - (254721*S[7, Infinity])/7168 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-436160*S[-7, -1, Infinity] - 90799*S[5, 3, Infinity] - 
     97280*S[-5, -1, -1, -1, Infinity] + 30080*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -1, -1, 1, -1, 1, Infinity] -> (19*S[-1, Infinity]^8)/4032 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (904367*S[2, Infinity]^4)/
    2352000 + ((143*S[-1, Infinity]^2)/224 + (3781*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-721*S[-1, Infinity]^3)/384 - 
     (19639*S[-1, Infinity]*S[2, Infinity])/896 - (15587*S[3, Infinity])/
      3584)*S[5, Infinity] + (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-1199*S[-1, Infinity]^4)/3360 - 
     (47*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-267*S[-1, Infinity]^5)/1120 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (8651*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^2*
    ((13*S[-1, Infinity]^6)/1440 - (5*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (19*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (2089*S[2, Infinity]^3)/
      3360 + ((-23*S[-1, Infinity]^3)/96 - 
       (23*S[-1, Infinity]*S[2, Infinity])/32)*S[3, Infinity] - 
     (25*S[3, Infinity]^2)/128 - (369*S[-1, Infinity]*S[5, Infinity])/128 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-251*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/80 + 
     (19*S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (779*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((85*S[-1, Infinity]^4)/192 + (15*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (204*S[2, Infinity]^2)/35)*S[3, Infinity] + 
     (13*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((1113*S[-1, Infinity]^2)/128 + (7839*S[2, Infinity])/448)*
      S[5, Infinity] - (372097*S[7, Infinity])/7168 + 
     (3*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (-436160*S[-7, -1, Infinity] - 97967*S[5, 3, Infinity] - 
     97280*S[-5, -1, -1, -1, Infinity] + 30080*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, -1, -1, -1, 1, 1, -1, Infinity] -> 
  (-259*S[-1, Infinity]^2*S[2, Infinity]^3)/480 + 
   (45131*S[2, Infinity]^4)/42000 + 
   (-S[-1, Infinity]^5/6 + (5*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/2)*S[3, Infinity] + 
   (S[-1, Infinity]^2 + (87*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-41*S[-1, Infinity]^3)/12 - 2*S[-1, Infinity]*S[2, Infinity] - 
     4*S[3, Infinity])*S[5, Infinity] + S[2, Infinity]^2*
    ((-51*S[-1, Infinity]^4)/160 + S[-1, 1, 1, 1, Infinity]/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (3*S[5, 3, Infinity] - 5*S[-1, 1, 1, 1, Infinity]^2)/10 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/480 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (143*S[2, Infinity]^3)/
      210 + (-S[-1, Infinity]^3/6 + (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] + (23*S[3, Infinity]^2)/64 - 
     2*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      (-S[-1, Infinity]^4/32 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/5040 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (893*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (125*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((887*S[-1, Infinity]^2)/128 + (3749*S[2, Infinity])/896)*
      S[5, Infinity] - (93881*S[7, Infinity])/7168 + 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((71*S[-1, Infinity]^4)/192 - 
       (55*S[-1, Infinity]^2*S[2, Infinity])/32 - (5*S[2, Infinity]^2)/112 - 
       (7*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (50*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -1, -1, -1, 1, 1, 1, Infinity] -> 
  (-999*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2731*S[2, Infinity]^4)/42000 + 
   (-S[-1, Infinity]^5/6 + (5*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/2)*S[3, Infinity] + 
   ((3*S[-1, Infinity]^2)/2 - (9*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-41*S[-1, Infinity]^3)/12 + (7*S[-1, Infinity]*S[2, Infinity])/2 + 
     4*S[3, Infinity])*S[5, Infinity] - (221*S[-1, Infinity]*S[7, Infinity])/
    16 + S[2, Infinity]^2*((-51*S[-1, Infinity]^4)/160 + 
     S[-1, 1, 1, 1, Infinity]/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-3*S[5, 3, Infinity] - 5*S[-1, 1, 1, 1, Infinity]^2)/10 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/480 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (23*S[2, Infinity]^3)/70 + 
     (-S[-1, Infinity]^3/6 + (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] + (55*S[3, Infinity]^2)/64 - 
     2*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      (-S[-1, Infinity]^4/32 + S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-13*S[-1, Infinity]^7)/5040 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/16 - 
     (311*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (181*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((887*S[-1, Infinity]^2)/128 - (1179*S[2, Infinity])/896)*
      S[5, Infinity] + (5127*S[7, Infinity])/7168 + 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((71*S[-1, Infinity]^4)/192 - 
       (55*S[-1, Infinity]^2*S[2, Infinity])/32 - (117*S[2, Infinity]^2)/
        112 - (7*S[-1, 1, 1, 1, Infinity])/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((13*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (50*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -1, -1, 1, -1, -1, -1, Infinity] -> (-37*S[-1, Infinity]^8)/2880 - 
   (249*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (238363*S[2, Infinity]^4)/392000 + 
   ((-211*S[-1, Infinity]^2)/112 - (2749*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 + 
     (13641*S[-1, Infinity]*S[2, Infinity])/896 - (2845*S[3, Infinity])/1792)*
    S[5, Infinity] + 3*S[-1, Infinity]*S[7, Infinity] - 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-173*S[-1, Infinity]^4)/1120 + 
     (71*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/1680 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (559*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - (173*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-13*S[-1, Infinity]^6)/720 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (3*S[2, Infinity]^3)/10 + 
     ((7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (15*S[3, Infinity]^2)/64 - 
     (81*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      (S[-1, Infinity]^4/24 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/420 + 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (669*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     (67*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (-3*S[-1, Infinity]^2 - (11667*S[2, Infinity])/896)*S[5, Infinity] + 
     (232503*S[7, Infinity])/7168 + (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 - 
       (49*S[-1, Infinity]^2*S[2, Infinity])/32 - (1017*S[2, Infinity]^2)/
        560 - (21*S[-1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/240 - (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (350720*S[-7, -1, Infinity] + 58971*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, -1, 1, -1, -1, 1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/2880 - (249*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (628123*S[2, Infinity]^4)/392000 + 
   ((-99*S[-1, Infinity]^2)/112 - (2301*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 + 
     (13641*S[-1, Infinity]*S[2, Infinity])/896 + (11491*S[3, Infinity])/
      1792)*S[5, Infinity] - (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-173*S[-1, Infinity]^4)/1120 + 
     (71*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/1680 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (4139*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - (173*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]^2*((-13*S[-1, Infinity]^6)/720 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (3*S[2, Infinity]^3)/10 + 
     ((7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (49*S[3, Infinity]^2)/64 - 
     (81*S[-1, Infinity]*S[5, Infinity])/128 + S[2, Infinity]*
      (S[-1, Infinity]^4/24 + (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/420 + 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (669*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (-3*S[-1, Infinity]^2 - (11667*S[2, Infinity])/896)*S[5, Infinity] + 
     (254007*S[7, Infinity])/7168 + (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[3, Infinity]*((-7*S[-1, Infinity]^4)/64 - 
       (49*S[-1, Infinity]^2*S[2, Infinity])/32 - (2361*S[2, Infinity]^2)/
        560 - (21*S[-1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*
      ((-11*S[-1, Infinity]^5)/240 - (3*S[-1, Infinity]*
         S[-1, 1, 1, 1, Infinity])/2) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
        84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (350720*S[-7, -1, Infinity] + 94811*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[1, 1, -1, -1, 1, -1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/10080 - (127*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 - (583951*S[2, Infinity]^4)/392000 + 
   ((-257*S[-1, Infinity]^2)/448 - (5973*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-319*S[-1, Infinity]^3)/128 + 
     (16437*S[-1, Infinity]*S[2, Infinity])/896 + (439*S[3, Infinity])/224)*
    S[5, Infinity] - (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/280 - 
     (13*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-407*S[-1, Infinity]^5)/3360 + (55*S[-1, Infinity]^3*S[2, Infinity])/
      56 + (1991*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 
     (-365*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^4*S[2, Infinity])/48 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - S[2, Infinity]^3/112 + 
     ((-7*S[-1, Infinity]^3)/96 + (9*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (69*S[3, Infinity]^2)/128 + 
     (3*S[-1, Infinity]*S[5, Infinity])/128 + 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/280 + 
     (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (189*S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     ((7*S[-1, Infinity]^4)/64 - (9*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (689*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-69*S[-1, Infinity]^2)/16 - (8607*S[2, Infinity])/896)*
      S[5, Infinity] + (192679*S[7, Infinity])/7168 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (3*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (32720*S[-7, -1, Infinity] + 5307*S[5, 3, Infinity] + 
     3280*S[-5, -1, -1, -1, Infinity] + 2600*S[-5, -1, 1, 1, Infinity] - 
     17360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/560, 
 S[1, 1, -1, -1, 1, -1, 1, 1, Infinity] -> (13*S[-1, Infinity]^8)/10080 - 
   (3007*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (1734493*S[2, Infinity]^4)/1176000 + 
   ((-369*S[-1, Infinity]^2)/448 - (6645*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-319*S[-1, Infinity]^3)/128 + 
     (20469*S[-1, Infinity]*S[2, Infinity])/896 - (9*S[3, Infinity])/224)*
    S[5, Infinity] - (61*S[-1, Infinity]*S[7, Infinity])/8 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/280 - 
     (13*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-407*S[-1, Infinity]^5)/3360 + (55*S[-1, Infinity]^3*S[2, Infinity])/
      56 + (1683*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 
     (-365*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^4*S[2, Infinity])/48 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/10 - (71*S[2, Infinity]^3)/336 + 
     ((-7*S[-1, Infinity]^3)/96 + (9*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (101*S[3, Infinity]^2)/128 + 
     (3*S[-1, Infinity]*S[5, Infinity])/128 + 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/280 + 
     (7*S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/5 + 
     (5329*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     ((7*S[-1, Infinity]^4)/64 - (9*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (73*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (223*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-69*S[-1, Infinity]^2)/16 - (12639*S[2, Infinity])/896)*
      S[5, Infinity] + (247335*S[7, Infinity])/7168 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (3*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (32720*S[-7, -1, Infinity] + 3907*S[5, 3, Infinity] + 
     3280*S[-5, -1, -1, -1, Infinity] + 2600*S[-5, -1, 1, 1, Infinity] - 
     17360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/560, 
 S[1, 1, -1, -1, 1, 1, -1, -1, Infinity] -> (19*S[-1, Infinity]^8)/4032 - 
   (1243*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (832771*S[2, Infinity]^4)/392000 + 
   ((-27*S[-1, Infinity]^2)/448 - (1569*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-229*S[-1, Infinity]^3)/192 - 
     (131*S[-1, Infinity]*S[2, Infinity])/448 - (7249*S[3, Infinity])/896)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-39*S[-1, Infinity]^4)/1120 - 
     (93*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-263*S[-1, Infinity]^5)/3360 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (143*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-29*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/144 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (9*S[2, Infinity]^3)/35 + 
     ((-7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (109*S[3, Infinity]^2)/128 + 
     (27*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/504 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (109*S[-1, Infinity]*S[2, Infinity]^3)/40 + 
     (145*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-27*S[-1, Infinity]^2)/32 + (297*S[2, Infinity])/448)*S[5, Infinity] + 
     (6441*S[7, Infinity])/896 - (29*S[-1, Infinity]*S[-5, -1, Infinity])/
      14 + S[3, Infinity]*((7*S[-1, Infinity]^4)/96 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 + (333*S[2, Infinity]^2)/
        280 + (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (105120*S[-7, -1, Infinity] + 8761*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2 - 161280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, -1, 1, 1, -1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/4032 - (4673*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (6021833*S[2, Infinity]^4)/1176000 + 
   ((197*S[-1, Infinity]^2)/448 - (1121*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-229*S[-1, Infinity]^3)/192 + 
     (1661*S[-1, Infinity]*S[2, Infinity])/448 - (3665*S[3, Infinity])/896)*
    S[5, Infinity] - 18*S[-1, Infinity]*S[7, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-39*S[-1, Infinity]^4)/1120 - 
     (93*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-263*S[-1, Infinity]^5)/3360 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (163*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-29*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/144 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (86*S[2, Infinity]^3)/105 + 
     ((-7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (45*S[3, Infinity]^2)/128 + 
     (27*S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (-S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((-5*S[-1, Infinity]^7)/504 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/8 + 
     (3233*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     (89*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-27*S[-1, Infinity]^2)/32 - (1495*S[2, Infinity])/448)*
      S[5, Infinity] + (22569*S[7, Infinity])/896 - 
     (29*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*((7*S[-1, Infinity]^4)/96 + 
       (21*S[-1, Infinity]^2*S[2, Infinity])/32 - (3*S[2, Infinity]^2)/280 + 
       (7*S[-1, 1, 1, 1, Infinity])/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*(S[-1, Infinity]^5/40 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (105120*S[-7, -1, Infinity] + 8761*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2 - 161280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[1, 1, -1, -1, 1, 1, 1, -1, Infinity] -> 
  (-4*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (188*S[2, Infinity]^4)/35 - 
   15*S[-1, Infinity]*S[7, Infinity] + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    ((-4*S[2, Infinity]^3)/7 + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/
      2 - (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((8*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     15*S[7, Infinity] - (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     15*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) - 
   35*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, -1, 1, 1, 1, 1, Infinity] -> 
  (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*((S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-(S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     15*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) - 
   35*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, -1, 1, -1, -1, -1, -1, Infinity] -> (-67*S[-1, Infinity]^8)/20160 + 
   (569*S[-1, Infinity]^2*S[2, Infinity]^3)/420 + 
   (1283587*S[2, Infinity]^4)/784000 + 
   ((-2501*S[-1, Infinity]^2)/896 - (2371*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((343*S[-1, Infinity]^3)/384 + 
     (29473*S[-1, Infinity]*S[2, Infinity])/896 + (3165*S[3, Infinity])/1792)*
    S[5, Infinity] + (179*S[-1, Infinity]*S[7, Infinity])/16 - 
   (141*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/3360 - 
     (47*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/168 + 
     (26*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (3681*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-349*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((-11*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (3*S[2, Infinity]^3)/160 + 
     ((11*S[-1, Infinity]^3)/48 + (13*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (169*S[3, Infinity]^2)/128 + 
     (375*S[-1, Infinity]*S[5, Infinity])/128 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 - (S[-1, Infinity]^5*S[2, Infinity])/
      15 + (13*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1453*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((-11*S[-1, Infinity]^4)/32 - (13*S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (1109*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (129*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-1491*S[-1, Infinity]^2)/128 - (5139*S[2, Infinity])/224)*
      S[5, Infinity] + (173637*S[7, Infinity])/3584 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (511040*S[-7, -1, Infinity] + 98573*S[5, 3, Infinity] + 
     90240*S[-5, -1, -1, -1, Infinity] + 15040*S[-5, -1, 1, 1, Infinity] - 
     116480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, 1, -1, 1, -1, -1, -1, 1, Infinity] -> (-67*S[-1, Infinity]^8)/20160 + 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (326507*S[2, Infinity]^4)/
    470400 + ((-1157*S[-1, Infinity]^2)/896 - (2035*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((343*S[-1, Infinity]^3)/384 + 
     (29473*S[-1, Infinity]*S[2, Infinity])/896 + (21085*S[3, Infinity])/
      1792)*S[5, Infinity] - (141*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/3360 - 
     (47*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/168 + 
     (26*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (26469*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-349*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((-11*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (1207*S[2, Infinity]^3)/3360 + 
     ((11*S[-1, Infinity]^3)/48 + (13*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (23*S[3, Infinity]^2)/128 + 
     (375*S[-1, Infinity]*S[5, Infinity])/128 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   S[1, Infinity]*(S[-1, Infinity]^7/105 - (S[-1, Infinity]^5*S[2, Infinity])/
      15 + (13*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (103*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((-11*S[-1, Infinity]^4)/32 - (13*S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (625*S[2, Infinity]^2)/112)*S[3, Infinity] + 
     (45*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-1491*S[-1, Infinity]^2)/128 - (5139*S[2, Infinity])/224)*
      S[5, Infinity] + (213733*S[7, Infinity])/3584 - 
     (9*S[-1, Infinity]*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (102208*S[-7, -1, Infinity] + 23657*S[5, 3, Infinity] + 
     18048*S[-5, -1, -1, -1, Infinity] + 3008*S[-5, -1, 1, 1, Infinity] - 
     23296*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[1, 1, -1, 1, -1, -1, 1, -1, Infinity] -> (109*S[-1, Infinity]^8)/10080 + 
   (253*S[-1, Infinity]^2*S[2, Infinity]^3)/168 + 
   (94039*S[2, Infinity]^4)/470400 + ((-361*S[-1, Infinity]^2)/1792 - 
     (5767*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((29*S[-1, Infinity]^3)/12 + (685*S[-1, Infinity]*S[2, Infinity])/28 + 
     (12555*S[3, Infinity])/7168)*S[5, Infinity] - 
   (177*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/420 + 
     (46*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-121*S[-1, Infinity]^5)/672 + (395*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (33121*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (89*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-517*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((19*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (23*S[2, Infinity]^3)/70 + 
     (S[-1, Infinity]^3/96 - (S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (179*S[3, Infinity]^2)/256 + 
     3*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      ((-7*S[-1, Infinity]^4)/96 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/840 - 
     (77*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (S[-1, Infinity]*S[2, Infinity]^3)/160 + 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-1509*S[-1, Infinity]^2)/128 - (12639*S[2, Infinity])/896)*
      S[5, Infinity] + (247335*S[7, Infinity])/7168 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(-(S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (1441*S[2, Infinity]^2)/1120 - (3*S[-1, 1, 1, 1, Infinity])/8) + 
     S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((2*S[-1, Infinity]^5)/15 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (337600*S[-7, -1, Infinity] + 48547*S[5, 3, Infinity] + 
     45312*S[-5, -1, -1, -1, Infinity] + 22784*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 114688*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 1, -1, 1, -1, -1, 1, 1, Infinity] -> 
  (109*S[-1, Infinity]^8)/10080 + (1217*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 - (244537*S[2, Infinity]^4)/470400 + 
   ((-809*S[-1, Infinity]^2)/1792 - (6439*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/12 + 
     (559*S[-1, Infinity]*S[2, Infinity])/28 + (37643*S[3, Infinity])/7168)*
    S[5, Infinity] + (61*S[-1, Infinity]*S[7, Infinity])/8 - 
   (177*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/420 + 
     (46*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-121*S[-1, Infinity]^5)/672 + (395*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (32673*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (89*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-517*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[1, Infinity]^2*((19*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (27*S[2, Infinity]^3)/70 + 
     (S[-1, Infinity]^3/96 - (S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (243*S[3, Infinity]^2)/256 + 
     3*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      ((-7*S[-1, Infinity]^4)/96 + (3*S[-1, 1, 1, 1, Infinity])/4) - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]*((-17*S[-1, Infinity]^7)/840 - 
     (77*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (27*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     (223*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-1509*S[-1, Infinity]^2)/128 - (8607*S[2, Infinity])/896)*
      S[5, Infinity] + (192679*S[7, Infinity])/7168 - 
     (39*S[-1, Infinity]*S[-5, -1, Infinity])/14 + 
     S[3, Infinity]*(-(S[-1, Infinity]^2*S[2, Infinity])/32 - 
       (1329*S[2, Infinity]^2)/1120 - (3*S[-1, 1, 1, 1, Infinity])/8) + 
     S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity] + 
     S[2, Infinity]*((2*S[-1, Infinity]^5)/15 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (337600*S[-7, -1, Infinity] + 59299*S[5, 3, Infinity] + 
     45312*S[-5, -1, -1, -1, Infinity] + 22784*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 114688*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[1, 1, -1, 1, -1, 1, -1, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/20160 + (121*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (291*S[2, Infinity]^4)/9800 + 
   ((579*S[-1, Infinity]^2)/1792 + (781*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((67*S[-1, Infinity]^3)/384 - 
     (2347*S[-1, Infinity]*S[2, Infinity])/896 - (7719*S[3, Infinity])/7168)*
    S[5, Infinity] + S[1, Infinity]^2*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (53*S[2, Infinity]^3)/1120 + 
     (S[-1, Infinity]^3/96 - (S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + S[3, Infinity]^2/256 + 
     (3*S[-1, Infinity]*S[5, Infinity])/128) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/840 + 
     (S[-1, Infinity]^5*S[2, Infinity])/48 - 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (53*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/64 + (S[-1, Infinity]^2*S[2, Infinity])/16 - 
       S[2, Infinity]^2/160)*S[3, Infinity] + 
     ((-35*S[-1, Infinity]^2)/128 - S[2, Infinity]/4)*S[5, Infinity] + 
     (119*S[7, Infinity])/512) + S[2, Infinity]*(-S[-1, Infinity]^6/96 - 
     (73*S[-5, -1, Infinity])/56) + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/210 - S[-1, 1, 1, 1, Infinity]/
      7) + S[3, Infinity]*((-47*S[-1, Infinity]^5)/3360 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (261*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (576*S[-7, -1, Infinity] - 6831*S[5, 3, Infinity] - 
     6912*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, 1, -1, 1, -1, 1, -1, 1, Infinity] -> (11*S[-1, Infinity]^8)/20160 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (9559*S[2, Infinity]^4)/9800 + ((579*S[-1, Infinity]^2)/1792 + 
     (333*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((67*S[-1, Infinity]^3)/384 - (2795*S[-1, Infinity]*S[2, Infinity])/896 + 
     (24537*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (123*S[2, Infinity]^3)/
      1120 + (S[-1, Infinity]^3/96 - (S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + S[3, Infinity]^2/256 + 
     (3*S[-1, Infinity]*S[5, Infinity])/128) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/840 + 
     (S[-1, Infinity]^5*S[2, Infinity])/48 - 
     (47*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (123*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/64 + (S[-1, Infinity]^2*S[2, Infinity])/16 - 
       S[2, Infinity]^2/160)*S[3, Infinity] + 
     ((-35*S[-1, Infinity]^2)/128 + S[2, Infinity]/4)*S[5, Infinity] - 
     (9*S[7, Infinity])/512) + (S[-1, Infinity]*S[7, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 - (73*S[-5, -1, Infinity])/56) + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/210 - S[-1, 1, 1, 1, Infinity]/
      7) + S[3, Infinity]*((-47*S[-1, Infinity]^5)/3360 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (261*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (576*S[-7, -1, Infinity] + 337*S[5, 3, Infinity] - 
     6912*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, 1, -1, 1, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/240 + 
   (73*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (19*S[2, Infinity]^4)/1050 + (-S[-1, Infinity]^2/2 - 
     (7*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/192 + (S[-1, Infinity]*S[2, Infinity])/64)*
    S[5, Infinity] + 3*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/480 - 
     (13*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   S[-1, 1, 1, 1, Infinity]^2/2 + S[3, Infinity]*(S[-1, Infinity]^5/12 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/20 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/160 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/32 + (13*S[2, Infinity]^3)/210 + 
     (S[-1, Infinity]^3/12 + (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] - (7*S[3, Infinity]^2)/64 + 
     (S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (S[-1, Infinity]^4/32 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/1260 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (983*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     (3*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-33*S[-1, Infinity]^2)/128 - (2545*S[2, Infinity])/896)*
      S[5, Infinity] + (32715*S[7, Infinity])/7168 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-25*S[-1, Infinity]^4)/192 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (87*S[2, Infinity]^2)/560 + 
       S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -1, 1, -1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/240 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/32 + S[2, Infinity]^4/14 + 
   (25*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (S[-1, Infinity]^3/192 + (S[-1, Infinity]*S[2, Infinity])/64)*
    S[5, Infinity] + S[2, Infinity]^2*((19*S[-1, Infinity]^4)/480 - 
     (13*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   S[-1, 1, 1, 1, Infinity]^2/2 + S[3, Infinity]*(S[-1, Infinity]^5/12 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/4 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/160 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/32 + S[2, Infinity]^3/14 + 
     (S[-1, Infinity]^3/12 + (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] + (25*S[3, Infinity]^2)/64 + 
     (S[-1, Infinity]*S[5, Infinity])/64 + S[2, Infinity]*
      (S[-1, Infinity]^4/32 - S[-1, 1, 1, 1, Infinity]/4) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((11*S[-1, Infinity]^7)/1260 - 
     (17*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (349*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (25*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-33*S[-1, Infinity]^2)/128 - (2545*S[2, Infinity])/896)*
      S[5, Infinity] + (54219*S[7, Infinity])/7168 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[3, Infinity]*((-25*S[-1, Infinity]^4)/192 - 
       (15*S[-1, Infinity]^2*S[2, Infinity])/32 - (759*S[2, Infinity]^2)/
        560 + S[-1, 1, 1, 1, Infinity]/8) - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((-11*S[-1, Infinity]^5)/240 + 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[1, 1, -1, 1, 1, -1, -1, -1, Infinity] -> (-251*S[-1, Infinity]^8)/20160 - 
   (1369*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (7687*S[2, Infinity]^4)/24500 + ((317*S[-1, Infinity]^2)/896 + 
     (2565*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]^3)/3 - (152*S[-1, Infinity]*S[2, Infinity])/7 - 
     (9949*S[3, Infinity])/3584)*S[5, Infinity] + 
   (85*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-81*S[-1, Infinity]^4)/1120 - 
     (41*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/336 - 
     (271*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (14877*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (34*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*((-13*S[-1, Infinity]^6)/720 - 
     (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (5*S[2, Infinity]^3)/42 + 
     ((7*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (75*S[3, Infinity]^2)/128 - 
     2*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      ((5*S[-1, Infinity]^4)/48 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5*S[-5, -1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/360 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (55*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((43*S[-1, Infinity]^7)/1680 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (389*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (49*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((565*S[-1, Infinity]^2)/64 + (359*S[2, Infinity])/32)*S[5, Infinity] - 
     (27963*S[7, Infinity])/1024 + (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      4 + S[3, Infinity]*((-37*S[-1, Infinity]^4)/192 + 
       (39*S[-1, Infinity]^2*S[2, Infinity])/32 + (19*S[2, Infinity]^2)/16 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-13*S[-1, Infinity]^5)/80 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       36*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-706240*S[-7, -1, Infinity] - 113377*S[5, 3, Infinity] - 
     108800*S[-5, -1, -1, -1, Infinity] - 43520*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 1, 1, -1, -1, 1, Infinity] -> 
  (-251*S[-1, Infinity]^8)/20160 - (191*S[-1, Infinity]^2*S[2, Infinity]^3)/
    120 - (12431*S[2, Infinity]^4)/147000 + 
   ((-131*S[-1, Infinity]^2)/896 + (3013*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]^3)/3 - 
     (131*S[-1, Infinity]*S[2, Infinity])/7 - (20701*S[3, Infinity])/3584)*
    S[5, Infinity] - (109*S[-1, Infinity]*S[7, Infinity])/16 + 
   (85*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-81*S[-1, Infinity]^4)/1120 - 
     (41*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/336 - 
     (271*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (13757*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (34*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[1, Infinity]^2*((-13*S[-1, Infinity]^6)/720 - 
     (7*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (11*S[2, Infinity]^3)/70 + 
     ((7*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (11*S[3, Infinity]^2)/128 - 
     2*S[-1, Infinity]*S[5, Infinity] + S[2, Infinity]*
      ((5*S[-1, Infinity]^4)/48 - (3*S[-1, 1, 1, 1, Infinity])/4) + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5*S[-5, -1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/360 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (55*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   S[1, Infinity]*((43*S[-1, Infinity]^7)/1680 + 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/60 + 
     (911*S[-1, Infinity]*S[2, Infinity]^3)/3360 - 
     (33*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     ((565*S[-1, Infinity]^2)/64 + (263*S[2, Infinity])/32)*S[5, Infinity] - 
     (20987*S[7, Infinity])/1024 + (9*S[-1, Infinity]*S[-5, -1, Infinity])/
      4 + S[3, Infinity]*((-37*S[-1, Infinity]^4)/192 + 
       (39*S[-1, Infinity]^2*S[2, Infinity])/32 + (11*S[2, Infinity]^2)/16 + 
       (3*S[-1, 1, 1, 1, Infinity])/8) - S[-1, Infinity]^3*
      S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*((-13*S[-1, Infinity]^5)/80 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       36*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-706240*S[-7, -1, Infinity] - 134881*S[5, 3, Infinity] - 
     108800*S[-5, -1, -1, -1, Infinity] - 43520*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[1, 1, -1, 1, 1, -1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/10080 - (575*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 - (4056319*S[2, Infinity]^4)/2352000 + 
   ((3127*S[-1, Infinity]^2)/1792 + (7179*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-21*S[-1, Infinity]^3)/64 - 
     (11145*S[-1, Infinity]*S[2, Infinity])/448 - (1657*S[3, Infinity])/7168)*
    S[5, Infinity] - (61*S[-1, Infinity]*S[7, Infinity])/8 + 
   (223*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((51*S[-1, Infinity]^4)/1120 + 
     (29*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-229*S[-1, Infinity]^5)/3360 - (233*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (31911*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/10 + S[2, Infinity]^3/240 + 
     ((-7*S[-1, Infinity]^3)/96 - (9*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (153*S[3, Infinity]^2)/256 - 
     (63*S[-1, Infinity]*S[5, Infinity])/64 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (71*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/240 + 
     (3*S[-1, Infinity]^5*S[2, Infinity])/80 - 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (323*S[-1, Infinity]*S[2, Infinity]^3)/840 + 
     ((29*S[-1, Infinity]^4)/192 + (13*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (299*S[2, Infinity]^2)/224)*S[3, Infinity] - 
     (137*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((435*S[-1, Infinity]^2)/64 + (1713*S[2, Infinity])/112)*
      S[5, Infinity] - (28929*S[7, Infinity])/896 + 
     (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (6*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (-1605440*S[-7, -1, Infinity] - 310053*S[5, 3, Infinity] - 
     285440*S[-5, -1, -1, -1, Infinity] - 37120*S[-5, -1, 1, 1, Infinity] + 
     322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, -1, 1, 1, -1, 1, 1, Infinity] -> (17*S[-1, Infinity]^8)/10080 - 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (243147*S[2, Infinity]^4)/784000 + 
   ((2679*S[-1, Infinity]^2)/1792 + (6059*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-21*S[-1, Infinity]^3)/64 - 
     (11145*S[-1, Infinity]*S[2, Infinity])/448 - (55417*S[3, Infinity])/
      7168)*S[5, Infinity] + (223*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((51*S[-1, Infinity]^4)/1120 + 
     (29*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-229*S[-1, Infinity]^5)/3360 - (233*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (8443*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/10 + (121*S[2, Infinity]^3)/560 + 
     ((-7*S[-1, Infinity]^3)/96 - (9*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (89*S[3, Infinity]^2)/256 - 
     (63*S[-1, Infinity]*S[5, Infinity])/64 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (71*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/240 + 
     (3*S[-1, Infinity]^5*S[2, Infinity])/80 - 
     (23*S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (11*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     ((29*S[-1, Infinity]^4)/192 + (13*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (4071*S[2, Infinity]^2)/1120)*S[3, Infinity] - 
     (109*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((435*S[-1, Infinity]^2)/64 + (1713*S[2, Infinity])/112)*
      S[5, Infinity] - (35761*S[7, Infinity])/896 + 
     (6*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (6*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (-1605440*S[-7, -1, Infinity] - 363813*S[5, 3, Infinity] - 
     285440*S[-5, -1, -1, -1, Infinity] - 37120*S[-5, -1, 1, 1, Infinity] + 
     322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, -1, 1, 1, 1, -1, -1, Infinity] -> (103*S[-1, Infinity]^8)/20160 + 
   (331*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (12063*S[2, Infinity]^4)/112000 + 
   ((169*S[-1, Infinity]^2)/256 + (21*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/6 - (5*S[-1, Infinity]*S[2, Infinity])/4 + 
     (2841*S[3, Infinity])/1024)*S[5, Infinity] - 
   2*S[-1, Infinity]*S[7, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/
    8 + S[2, Infinity]^2*(S[-1, Infinity]^4/240 + 
     (4*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/96 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/640 + S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     ((-7*S[-1, Infinity]^3)/96 + (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (49*S[3, Infinity]^2)/256 + 
     (S[-1, Infinity]*S[5, Infinity])/2 + S[2, Infinity]*
      (-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 + 2*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-53*S[-1, Infinity]^7)/5040 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (367*S[-1, Infinity]*S[2, Infinity]^3)/1120 - 
     (11*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (-S[-1, Infinity]^2/64 + (3*S[2, Infinity])/4)*S[5, Infinity] - 
     (2627*S[7, Infinity])/1024 + (S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/32 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 - (23*S[2, Infinity]^2)/160 - 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/40 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-39360*S[-7, -1, Infinity] - 2283*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, -1, 1, 1, 1, -1, 1, Infinity] -> 
  (103*S[-1, Infinity]^8)/20160 + (111*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (83761*S[2, Infinity]^4)/112000 + 
   ((105*S[-1, Infinity]^2)/256 + (117*S[2, Infinity])/128)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/6 - 
     (5*S[-1, Infinity]*S[2, Infinity])/4 - (2791*S[3, Infinity])/1024)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/240 + (4*S[-1, 1, 1, 1, Infinity])/
      5) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/96 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (377*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + S[2, Infinity]^3/5 + 
     ((-7*S[-1, Infinity]^3)/96 + (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (15*S[3, Infinity]^2)/256 + 
     (S[-1, Infinity]*S[5, Infinity])/2 + S[2, Infinity]*
      (-S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity]/4) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 + 2*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*((-53*S[-1, Infinity]^7)/5040 - 
     (7*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (163*S[-1, Infinity]*S[2, Infinity]^3)/224 - 
     (3*S[-1, Infinity]*S[3, Infinity]^2)/16 + 
     (-S[-1, Infinity]^2/64 + (3*S[2, Infinity])/4)*S[5, Infinity] - 
     (4675*S[7, Infinity])/1024 + (S[-1, Infinity]*S[-5, -1, Infinity])/4 + 
     S[3, Infinity]*((5*S[-1, Infinity]^4)/32 - 
       (23*S[-1, Infinity]^2*S[2, Infinity])/32 + (73*S[2, Infinity]^2)/160 - 
       S[-1, 1, 1, 1, Infinity]/8) + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/3 + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/40 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-39360*S[-7, -1, Infinity] - 3819*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[1, 1, -1, 1, 1, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/2520 + (23*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (5071*S[2, Infinity]^4)/5600 + (S[-1, Infinity]^2/4 + S[2, Infinity]/2)*
    S[3, Infinity]^2 + ((-2*S[-1, Infinity]^3)/3 + 
     (S[-1, Infinity]*S[2, Infinity])/2 - (307*S[3, Infinity])/128)*
    S[5, Infinity] + S[2, Infinity]^2*(-S[-1, Infinity]^4/30 + 
     S[-1, 1, 1, 1, Infinity]/5) + S[3, Infinity]*(-S[-1, Infinity]^5/40 + 
     (S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((4*S[2, Infinity]^3)/35 + S[-1, 1, 1, 1, 1, 1, Infinity]/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + 
     (5*S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1680 + 
     (S[-1, Infinity]^5*S[2, Infinity])/120 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (3*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     (S[-1, Infinity]^4/24 - (S[-1, Infinity]^2*S[2, Infinity])/4 + 
       S[2, Infinity]^2/40)*S[3, Infinity] - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((63*S[-1, Infinity]^2)/64 + (33*S[2, Infinity])/64)*S[5, Infinity] - 
     (891*S[7, Infinity])/256 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-704*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] + 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[1, 1, -1, 1, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/2520 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (2479*S[2, Infinity]^4)/5600 + (S[-1, Infinity]^2*S[3, Infinity]^2)/4 + 
   ((-2*S[-1, Infinity]^3)/3 + (3*S[-1, Infinity]*S[2, Infinity])/2 + 
     (77*S[3, Infinity])/128)*S[5, Infinity] - 
   3*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/30 + S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/40 + (S[-1, Infinity]^3*S[2, Infinity])/
      6 + (S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     2*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + 
     (5*S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/1680 + 
     (S[-1, Infinity]^5*S[2, Infinity])/120 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/120 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/5 + 
     (S[-1, Infinity]^4/24 - (S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (3*S[2, Infinity]^2)/8)*S[3, Infinity] - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((63*S[-1, Infinity]^2)/64 - (31*S[2, Infinity])/64)*S[5, Infinity] - 
     (123*S[7, Infinity])/256 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     (S[-5, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-704*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] + 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[1, 1, 1, -1, -1, -1, -1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/13440 + (753*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (3205249*S[2, Infinity]^4)/784000 + 
   ((-2881*S[-1, Infinity]^2)/2688 + (23*S[2, Infinity])/42)*
    S[3, Infinity]^2 + S[1, Infinity]^3*(S[-1, Infinity]^5/720 + 
     (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (-S[-1, Infinity]^2/48 - S[2, Infinity]/48)*S[3, Infinity] - 
     S[5, Infinity]/32) + (S[-1, Infinity]^3 + 
     (51*S[-1, Infinity]*S[2, Infinity])/14 - (13227*S[3, Infinity])/1792)*
    S[5, Infinity] + 10*S[-1, Infinity]*S[7, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/105 + 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((893*S[-1, Infinity]^5)/5040 + 
     (97*S[-1, Infinity]^3*S[2, Infinity])/1008 - 
     (3417*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (3*(-95*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/180 - 
     (S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (17*S[2, Infinity]^3)/35 + 
     ((5*S[-1, Infinity]^3)/24 + (9*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (27*S[3, Infinity]^2)/128 + 
     S[-1, Infinity]*S[5, Infinity] - 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/1008 + 
     (S[-1, Infinity]^5*S[2, Infinity])/240 - 
     (107*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (47*S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     ((-9*S[-1, Infinity]^4)/32 - (9*S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (153*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (29*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((29*S[-1, Infinity]^2)/64 - (1243*S[2, Infinity])/448)*S[5, Infinity] - 
     (12071*S[7, Infinity])/3584 + (17*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] + 
     197120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, 1, 1, -1, -1, -1, -1, 1, Infinity] -> (-19*S[-1, Infinity]^8)/13440 + 
   (433*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1440129*S[2, Infinity]^4)/784000 + 
   ((-193*S[-1, Infinity]^2)/2688 + (65*S[2, Infinity])/42)*
    S[3, Infinity]^2 + S[1, Infinity]^3*(S[-1, Infinity]^5/720 + 
     (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (-S[-1, Infinity]^2/48 - S[2, Infinity]/48)*S[3, Infinity] + 
     (29*S[5, Infinity])/96) + ((2*S[-1, Infinity]^3)/3 + 
     (37*S[-1, Infinity]*S[2, Infinity])/14 + (6911*S[3, Infinity])/5376)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/105 + 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((893*S[-1, Infinity]^5)/5040 + 
     (97*S[-1, Infinity]^3*S[2, Infinity])/1008 + 
     (1959*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (3*(-95*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/180 - 
     (S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (3*S[2, Infinity]^3)/35 + 
     ((5*S[-1, Infinity]^3)/24 + (9*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (101*S[3, Infinity]^2)/128 - 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   S[1, Infinity]*((5*S[-1, Infinity]^7)/1008 + 
     (S[-1, Infinity]^5*S[2, Infinity])/240 - 
     (107*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (15*S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     ((-9*S[-1, Infinity]^4)/32 - (9*S[-1, Infinity]^2*S[2, Infinity])/8 - 
       (1497*S[2, Infinity]^2)/560)*S[3, Infinity] - 
     (85*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((93*S[-1, Infinity]^2)/64 - (795*S[2, Infinity])/448)*S[5, Infinity] + 
     (23769*S[7, Infinity])/3584 + (17*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
       140*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] + 
     197120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[1, 1, 1, -1, -1, -1, 1, -1, Infinity] -> (-11*S[-1, Infinity]^8)/1680 + 
   (5123*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (864861*S[2, Infinity]^4)/784000 + 
   ((-4373*S[-1, Infinity]^2)/5376 + (535*S[2, Infinity])/336)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]^3)/2 - 
     (39*S[-1, Infinity]*S[2, Infinity])/14 + (23433*S[3, Infinity])/7168)*
    S[5, Infinity] + (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((557*S[-1, Infinity]^4)/1120 + 
     (93*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^2*((-5*S[-1, Infinity]^6)/144 + 
     (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (43*S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (29*S[2, Infinity]^3)/120 + 
     ((31*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (177*S[3, Infinity]^2)/256 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + (249*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((181*S[-1, Infinity]^5)/630 - 
     (619*S[-1, Infinity]^3*S[2, Infinity])/2016 - 
     (26119*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (79*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^3*
    ((13*S[-1, Infinity]^5)/720 - (5*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((-23*S[-1, Infinity]^2)/96 - (23*S[2, Infinity])/96)*S[3, Infinity] + 
     (125*S[5, Infinity])/128 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*((127*S[-1, Infinity]^7)/5040 - 
     (251*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (1159*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-39*S[-1, Infinity]^4)/64 - (7*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (395*S[2, Infinity]^2)/224)*S[3, Infinity] - 
     (125*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-73*S[-1, Infinity]^2)/128 + (723*S[2, Infinity])/448)*
      S[5, Infinity] + (5127*S[7, Infinity])/7168 + 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (50*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-905920*S[-7, -1, Infinity] - 113019*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 119040*S[-5, -1, 1, 1, Infinity] + 
     680960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, -1, -1, 1, 1, Infinity] -> (-11*S[-1, Infinity]^8)/1680 + 
   (2249*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1845309*S[2, Infinity]^4)/784000 + 
   ((-9749*S[-1, Infinity]^2)/5376 + (253*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((41*S[-1, Infinity]^3)/12 - 
     (155*S[-1, Infinity]*S[2, Infinity])/28 - (98149*S[3, Infinity])/21504)*
    S[5, Infinity] + (221*S[-1, Infinity]*S[7, Infinity])/16 + 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((557*S[-1, Infinity]^4)/1120 + 
     (93*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[1, Infinity]^2*((-5*S[-1, Infinity]^6)/144 + 
     (7*S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (43*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (29*S[2, Infinity]^3)/120 + 
     ((31*S[-1, Infinity]^3)/48 - (25*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (79*S[3, Infinity]^2)/256 + 
     (11*S[-1, Infinity]*S[5, Infinity])/4 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + (249*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((181*S[-1, Infinity]^5)/630 - 
     (1291*S[-1, Infinity]^3*S[2, Infinity])/2016 - 
     (52999*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (79*S[-1, 1, 1, 1, 1, Infinity])/14) + S[1, Infinity]^3*
    ((13*S[-1, Infinity]^5)/720 - (5*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((-23*S[-1, Infinity]^2)/96 + (3*S[2, Infinity])/32)*S[3, Infinity] + 
     (23*S[5, Infinity])/384 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]*
    ((127*S[-1, Infinity]^7)/5040 - (251*S[-1, Infinity]^3*S[2, Infinity]^2)/
      240 - (1345*S[-1, Infinity]*S[2, Infinity]^3)/672 + 
     ((-39*S[-1, Infinity]^4)/64 + (9*S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (53*S[2, Infinity]^2)/224)*S[3, Infinity] - 
     (13*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-425*S[-1, Infinity]^2)/128 + (1955*S[2, Infinity])/448)*
      S[5, Infinity] - (93881*S[7, Infinity])/7168 + 
     (25*S[-1, Infinity]*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*((-7*S[-1, Infinity]^5)/120 - 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (50*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-905920*S[-7, -1, Infinity] - 87931*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 119040*S[-5, -1, 1, 1, Infinity] + 
     680960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, -1, 1, -1, -1, Infinity] -> (-23*S[-1, Infinity]^8)/13440 + 
   (2981*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (998609*S[2, Infinity]^4)/392000 + 
   ((647*S[-1, Infinity]^2)/5376 + (487*S[2, Infinity])/168)*
    S[3, Infinity]^2 + (2*S[-1, Infinity]^3 - 
     (75*S[-1, Infinity]*S[2, Infinity])/28 + (28979*S[3, Infinity])/7168)*
    S[5, Infinity] + (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/224 + 
     (13*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((359*S[-1, Infinity]^5)/5040 - (295*S[-1, Infinity]^3*S[2, Infinity])/
      2016 - (10193*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 - (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     ((-7*S[-1, Infinity]^2)/96 - (7*S[2, Infinity])/96)*S[3, Infinity] - 
     (27*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (27*S[2, Infinity]^3)/70 + 
     ((7*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (229*S[3, Infinity]^2)/256 - 
     (3*(5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[2, Infinity]*(52*S[-5, -1, Infinity] + 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 - 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (745*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     ((-7*S[-1, Infinity]^4)/64 - (7*S[-1, Infinity]^2*S[2, Infinity])/16 - 
       (3*S[2, Infinity]^2)/1120)*S[3, Infinity] - 
     (65*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((81*S[-1, Infinity]^2)/128 + (229*S[2, Infinity])/112)*S[5, Infinity] - 
     (136197*S[7, Infinity])/7168 + (13*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + S[2, Infinity]*(-S[-1, Infinity]^5/48 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] - 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-981440*S[-7, -1, Infinity] - 147377*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] + 
     1218560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, -1, 1, -1, 1, Infinity] -> (-23*S[-1, Infinity]^8)/13440 + 
   (3589*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1605649*S[2, Infinity]^4)/392000 + 
   ((-697*S[-1, Infinity]^2)/5376 + (167*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((11*S[-1, Infinity]^3)/4 - 
     (45*S[-1, Infinity]*S[2, Infinity])/7 + (11059*S[3, Infinity])/7168)*
    S[5, Infinity] + 17*S[-1, Infinity]*S[7, Infinity] + 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/224 + 
     (13*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((359*S[-1, Infinity]^5)/5040 - (631*S[-1, Infinity]^3*S[2, Infinity])/
      2016 - (2845*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 - (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     ((-7*S[-1, Infinity]^2)/96 + (3*S[2, Infinity])/32)*S[3, Infinity] - 
     (123*S[5, Infinity])/128 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*((-7*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/5 + (13*S[2, Infinity]^3)/14 + 
     ((7*S[-1, Infinity]^3)/48 - (9*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (165*S[3, Infinity]^2)/256 + 
     (9*S[-1, Infinity]*S[5, Infinity])/4 - 
     (3*(5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[2, Infinity]*(52*S[-5, -1, Infinity] + 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[1, Infinity]*((17*S[-1, Infinity]^7)/2520 - 
     (41*S[-1, Infinity]^3*S[2, Infinity]^2)/60 - 
     (4941*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-7*S[-1, Infinity]^4)/64 + (S[-1, Infinity]^2*S[2, Infinity])/16 + 
       (201*S[2, Infinity]^2)/224)*S[3, Infinity] - 
     (51*S[-1, Infinity]*S[3, Infinity]^2)/28 + 
     ((-207*S[-1, Infinity]^2)/128 + (649*S[2, Infinity])/112)*
      S[5, Infinity] - (258053*S[7, Infinity])/7168 + 
     (13*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 - (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] - 
       532*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-981440*S[-7, -1, Infinity] - 111537*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] + 
     1218560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, -1, 1, 1, -1, Infinity] -> 
  (8*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (208*S[2, Infinity]^4)/35 + 
   ((2*S[-1, Infinity]^3)/3 + 2*S[-1, Infinity]*S[2, Infinity] - 
     (4*S[3, Infinity])/3)*S[5, Infinity] + 20*S[-1, Infinity]*
    S[7, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^3*
    ((-2*S[5, Infinity])/3 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) + S[2, Infinity]*
    (-(S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    ((8*S[2, Infinity]^3)/7 + 2*S[-1, Infinity]*S[5, Infinity] - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((-16*S[-1, Infinity]*S[2, Infinity]^3)/7 + 
     (-2*S[-1, Infinity]^2 - 2*S[2, Infinity])*S[5, Infinity] - 
     20*S[7, Infinity] + (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 20*S[-1, 1, 1, 1, 1, 1, 1, 
       Infinity]) + 35*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, -1, 1, 1, 1, Infinity] -> 
  -(S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^3*
    ((S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^2*
    (-(S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-(S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    ((S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 20*S[-1, 1, 1, 1, 1, 1, 1, 
       Infinity]) + 35*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, -1, 1, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/240 + 
   (347*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (266927*S[2, Infinity]^4)/392000 + 
   ((173*S[-1, Infinity]^2)/2688 + (1171*S[2, Infinity])/672)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/6 - 
     (131*S[-1, Infinity]*S[2, Infinity])/28 - (11617*S[3, Infinity])/3584)*
    S[5, Infinity] + (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-57*S[-1, Infinity]^4)/1120 + 
     (19*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-167*S[-1, Infinity]^5)/2520 - 
     (571*S[-1, Infinity]^3*S[2, Infinity])/1008 - 
     (25177*S[-1, Infinity]*S[2, Infinity]^2)/6720 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^3*
    ((-11*S[-1, Infinity]^5)/720 + (5*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/48 + 
     ((11*S[-1, Infinity]^2)/48 + (13*S[2, Infinity])/48)*S[3, Infinity] - 
     (123*S[5, Infinity])/128 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/
      2 - S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]^2*
    ((37*S[-1, Infinity]^6)/1440 - (11*S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (47*S[2, Infinity]^3)/210 + 
     ((-11*S[-1, Infinity]^3)/24 - (13*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] - (13*S[3, Infinity]^2)/128 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (38*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((-43*S[-1, Infinity]^7)/2520 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (59*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     ((29*S[-1, Infinity]^4)/96 + (5*S[-1, Infinity]^2*S[2, Infinity])/4 + 
       (671*S[2, Infinity]^2)/280)*S[3, Infinity] - 
     (27*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((309*S[-1, Infinity]^2)/128 + (1737*S[2, Infinity])/448)*
      S[5, Infinity] - (33513*S[7, Infinity])/1792 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (11*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-294720*S[-7, -1, Infinity] - 46693*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, -1, 1, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/240 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/240 + (758557*S[2, Infinity]^4)/
    1176000 + ((2189*S[-1, Infinity]^2)/2688 + (1675*S[2, Infinity])/672)*
    S[3, Infinity]^2 + ((-7*S[-1, Infinity]^3)/12 - 
     (52*S[-1, Infinity]*S[2, Infinity])/7 - (15201*S[3, Infinity])/3584)*
    S[5, Infinity] - (5*S[-1, Infinity]*S[7, Infinity])/8 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-57*S[-1, Infinity]^4)/1120 + 
     (19*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-167*S[-1, Infinity]^5)/2520 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/1008 - 
     (11737*S[-1, Infinity]*S[2, Infinity]^2)/6720 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7) + S[1, Infinity]^3*
    ((-11*S[-1, Infinity]^5)/720 + (5*S[-1, Infinity]^3*S[2, Infinity])/72 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/48 + 
     ((11*S[-1, Infinity]^2)/48 - (11*S[2, Infinity])/48)*S[3, Infinity] - 
     (27*S[5, Infinity])/128 + (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]^2*
    ((37*S[-1, Infinity]^6)/1440 - (11*S[-1, Infinity]^4*S[2, Infinity])/96 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/20 + (3*S[2, Infinity]^3)/140 + 
     ((-11*S[-1, Infinity]^3)/24 + (11*S[-1, Infinity]*S[2, Infinity])/16)*
      S[3, Infinity] + (83*S[3, Infinity]^2)/128 - 
     (9*S[-1, Infinity]*S[5, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (38*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*((-43*S[-1, Infinity]^7)/2520 + 
     (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 - 
     (S[-1, Infinity]*S[2, Infinity]^3)/60 + 
     ((29*S[-1, Infinity]^4)/96 - (S[-1, Infinity]^2*S[2, Infinity])/4 + 
       (111*S[2, Infinity]^2)/280)*S[3, Infinity] - 
     (195*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((597*S[-1, Infinity]^2)/128 + (2969*S[2, Infinity])/448)*
      S[5, Infinity] - (32393*S[7, Infinity])/1792 + 
     (11*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/2 + 
     S[2, Infinity]*(S[-1, Infinity]^5/48 + 
       (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (11*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-294720*S[-7, -1, Infinity] - 53861*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, -1, 1, -1, 1, -1, Infinity] -> (-13*S[-1, Infinity]^8)/13440 - 
   (129*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1187203*S[2, Infinity]^4)/784000 + 
   ((-2165*S[-1, Infinity]^2)/5376 - (367*S[2, Infinity])/336)*
    S[3, Infinity]^2 + S[1, Infinity]^3*(S[-1, Infinity]^5/720 - 
     (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     (S[-1, Infinity]^2/96 - S[2, Infinity]/96)*S[3, Infinity] + 
     S[5, Infinity]/128) + (-S[-1, Infinity]^3/12 + 
     (67*S[-1, Infinity]*S[2, Infinity])/14 - (28067*S[3, Infinity])/7168)*
    S[5, Infinity] + S[1, Infinity]^2*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
     (-S[-1, Infinity]^3/48 + (S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + S[3, Infinity]^2/256 - 
     (S[-1, Infinity]*S[5, Infinity])/4) + 3*S[-1, Infinity]*S[7, Infinity] - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 + (47*S[-5, -1, Infinity])/
      14) + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/672 + 
     (47*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((151*S[-1, Infinity]^5)/2520 - (137*S[-1, Infinity]^3*S[2, Infinity])/
      2016 + (3867*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(S[-1, Infinity]^7/315 - (S[-1, Infinity]^5*S[2, Infinity])/
      24 + (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     ((-5*S[-1, Infinity]^4)/192 - (S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (53*S[2, Infinity]^2)/224)*S[3, Infinity] - 
     (29*S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     (S[-1, Infinity]^2/128 - (631*S[2, Infinity])/224)*S[5, Infinity] + 
     (32715*S[7, Infinity])/7168 + (5*S[-1, Infinity]*S[-5, -1, Infinity])/
      7 + (20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (23360*S[-7, -1, Infinity] + 29593*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, 1, -1, 1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/13440 - 
   (129*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (380803*S[2, Infinity]^4)/784000 + 
   ((-3509*S[-1, Infinity]^2)/5376 - (113*S[2, Infinity])/112)*
    S[3, Infinity]^2 + S[1, Infinity]^2*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]^4*S[2, Infinity])/24 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/5 + 
     (-S[-1, Infinity]^3/48 - (15*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (63*S[3, Infinity]^2)/256) + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/720 - 
     (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     (S[-1, Infinity]^2/96 + (5*S[2, Infinity])/32)*S[3, Infinity] - 
     (29*S[5, Infinity])/384) + ((141*S[-1, Infinity]*S[2, Infinity])/28 + 
     (19735*S[3, Infinity])/21504)*S[5, Infinity] - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 + (47*S[-5, -1, Infinity])/
      14) + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/672 + 
     (47*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((151*S[-1, Infinity]^5)/2520 - (473*S[-1, Infinity]^3*S[2, Infinity])/
      2016 + (5211*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]*(S[-1, Infinity]^7/315 - (S[-1, Infinity]^5*S[2, Infinity])/
      24 + (5*S[-1, Infinity]^3*S[2, Infinity]^2)/48 + 
     (17*S[-1, Infinity]*S[2, Infinity]^3)/224 + 
     ((-5*S[-1, Infinity]^4)/192 + (S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (601*S[2, Infinity]^2)/1120)*S[3, Infinity] - 
     (S[-1, Infinity]*S[3, Infinity]^2)/56 + 
     ((-31*S[-1, Infinity]^2)/128 - (687*S[2, Infinity])/224)*
      S[5, Infinity] + (54219*S[7, Infinity])/7168 + 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/7 + 
     (20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (23360*S[-7, -1, Infinity] + 65433*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, 1, 1, -1, -1, Infinity] -> (-13*S[-1, Infinity]^8)/5040 + 
   (967*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (3092059*S[2, Infinity]^4)/2352000 + 
   ((-6613*S[-1, Infinity]^2)/5376 - (1975*S[2, Infinity])/672)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]^3)/6 + 
     (307*S[-1, Infinity]*S[2, Infinity])/28 - (16719*S[3, Infinity])/7168)*
    S[5, Infinity] + (109*S[-1, Infinity]*S[7, Infinity])/16 - 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((139*S[-1, Infinity]^4)/1680 + 
     (9*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((65*S[-1, Infinity]^5)/504 + 
     (95*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (22321*S[-1, Infinity]*S[2, Infinity]^2)/13440 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, 1, 1, 1, 1, Infinity]/42) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 - (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/15 + 
     ((-7*S[-1, Infinity]^2)/96 + (7*S[2, Infinity])/96)*S[3, Infinity] + 
     (9*S[5, Infinity])/64 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     S[-1, 1, 1, 1, 1, Infinity]/3) + S[2, Infinity]*
    ((17*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (25*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*((-17*S[-1, Infinity]^6)/1440 + 
     (7*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + S[2, Infinity]^3/120 + 
     ((11*S[-1, Infinity]^3)/48 + (S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (167*S[3, Infinity]^2)/256 + 
     (3*S[-1, Infinity]*S[5, Infinity])/2 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[1, Infinity]*((47*S[-1, Infinity]^7)/5040 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (491*S[-1, Infinity]*S[2, Infinity]^3)/3360 + 
     ((-53*S[-1, Infinity]^4)/192 - (S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (83*S[2, Infinity]^2)/224)*S[3, Infinity] + 
     (179*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-141*S[-1, Infinity]^2)/32 - (1783*S[2, Infinity])/224)*
      S[5, Infinity] + (123437*S[7, Infinity])/7168 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) + (-5*S[-5, 1, 1, Infinity] + 
       79*S[5, -1, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (509760*S[-7, -1, Infinity] + 101853*S[5, 3, Infinity] + 
     101120*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[1, 1, 1, -1, 1, 1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/5040 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (11317*S[2, Infinity]^4)/156800 + ((-2581*S[-1, Infinity]^2)/5376 - 
     (565*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/3 + (265*S[-1, Infinity]*S[2, Infinity])/28 + 
     (29873*S[3, Infinity])/7168)*S[5, Infinity] - 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((139*S[-1, Infinity]^4)/1680 + 
     (9*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((65*S[-1, Infinity]^5)/504 + 
     (431*S[-1, Infinity]^3*S[2, Infinity])/2016 + 
     (11453*S[-1, Infinity]*S[2, Infinity]^2)/2688 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/3 + 
     S[-1, 1, 1, 1, 1, Infinity]/42) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/180 - (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/15 + 
     ((-7*S[-1, Infinity]^2)/96 - (3*S[2, Infinity])/32)*S[3, Infinity] + 
     (41*S[5, Infinity])/64 - (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/6 + 
     S[-1, 1, 1, 1, 1, Infinity]/3) + S[2, Infinity]*
    ((17*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (25*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   S[1, Infinity]^2*((-17*S[-1, Infinity]^6)/1440 + 
     (7*S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (3*S[-1, Infinity]^2*S[2, Infinity]^2)/16 - (71*S[2, Infinity]^3)/280 + 
     ((11*S[-1, Infinity]^3)/48 + (17*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] + (25*S[3, Infinity]^2)/256 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   S[1, Infinity]*((47*S[-1, Infinity]^7)/5040 + 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (423*S[-1, Infinity]*S[2, Infinity]^3)/1120 + 
     ((-53*S[-1, Infinity]^4)/192 - (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (3327*S[2, Infinity]^2)/1120)*S[3, Infinity] + 
     (11*S[-1, Infinity]*S[3, Infinity]^2)/112 + 
     ((-93*S[-1, Infinity]^2)/32 - (1447*S[2, Infinity])/224)*
      S[5, Infinity] + (172269*S[7, Infinity])/7168 - 
     (5*S[-1, Infinity]*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^3*S[-1, 1, 1, 1, Infinity])/6 + 
     S[2, Infinity]*((-13*S[-1, Infinity]^5)/240 - 
       (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
       S[-1, 1, 1, 1, 1, Infinity]) + (-5*S[-5, 1, 1, Infinity] + 
       79*S[5, -1, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      28) + (101952*S[-7, -1, Infinity] + 22521*S[5, 3, Infinity] + 
     20224*S[-5, -1, -1, -1, Infinity] - 2304*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[1, 1, 1, -1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/1152 + 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/10 + 
   (99*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1019*S[2, Infinity]^4)/2800 + 
   (-S[-1, Infinity]^2/2 - (9*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3 + (7*S[3, Infinity])/3)*S[5, Infinity] + 
   S[1, Infinity]^3*(S[5, Infinity]/6 + S[-1, 1, 1, 1, 1, Infinity]/6) + 
   S[3, Infinity]*(S[-1, Infinity]^5/12 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/4 + S[-1, 1, 1, 1, 1, Infinity]/3) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/480 + 
     (S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/80 - (13*S[2, Infinity]^3)/70 + 
     (S[-1, Infinity]^3/12 - (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] - S[3, Infinity]^2/16 + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/5040 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (29*S[-1, Infinity]*S[2, Infinity]^3)/140 + 
     (-S[-1, Infinity]^4/6 + (3*S[-1, Infinity]^2*S[2, Infinity])/4 - 
       (3*S[2, Infinity]^2)/40)*S[3, Infinity] + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-95*S[-1, Infinity]^2)/64 - (33*S[2, Infinity])/64)*S[5, Infinity] + 
     (893*S[7, Infinity])/256 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (-S[-5, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 1, 1, -1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/1152 + 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/10 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (219*S[2, Infinity]^4)/2800 + 
   ((-3*S[-1, Infinity]^2)/4 + (3*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((7*S[-1, Infinity]^3)/6 - (3*S[-1, Infinity]*S[2, Infinity])/2 - 
     2*S[3, Infinity])*S[5, Infinity] + 5*S[-1, Infinity]*S[7, Infinity] + 
   S[3, Infinity]*(S[-1, Infinity]^5/12 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/4 + S[-1, 1, 1, 1, 1, Infinity]/
      3) + (S[1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]^2*(-S[-1, Infinity]^6/480 + 
     (S[-1, Infinity]^4*S[2, Infinity])/48 + 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/80 - S[2, Infinity]^3/10 + 
     (S[-1, Infinity]^3/12 - (S[-1, Infinity]*S[2, Infinity])/4)*
      S[3, Infinity] - (5*S[3, Infinity]^2)/16 + 
     (S[-1, Infinity]*S[5, Infinity])/2 + 
     (S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*((13*S[-1, Infinity]^7)/5040 - 
     (11*S[-1, Infinity]^3*S[2, Infinity]^2)/120 + 
     (S[-1, Infinity]*S[2, Infinity]^3)/28 + 
     (-S[-1, Infinity]^4/6 + (3*S[-1, Infinity]^2*S[2, Infinity])/4 + 
       (17*S[2, Infinity]^2)/40)*S[3, Infinity] + 
     (9*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((-127*S[-1, Infinity]^2)/64 + (63*S[2, Infinity])/64)*S[5, Infinity] - 
     (387*S[7, Infinity])/256 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/30 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (-S[-5, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[1, 1, 1, 1, -1, -1, -1, -1, Infinity] -> (53*S[-1, Infinity]^8)/40320 - 
   (449*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1286903*S[2, Infinity]^4)/784000 + 
   ((123*S[-1, Infinity]^2)/448 - (1039*S[2, Infinity])/672)*
    S[3, Infinity]^2 + S[1, Infinity]^4*(S[-1, Infinity]^4/576 + 
     (S[-1, Infinity]^2*S[2, Infinity])/96 + (3*S[2, Infinity]^2)/320 - 
     (S[-1, Infinity]*S[3, Infinity])/96) + 
   ((-4*S[-1, Infinity]^3)/3 + (S[-1, Infinity]*S[2, Infinity])/7 - 
     (19379*S[3, Infinity])/10752)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-601*S[-1, Infinity]^4)/3360 - 
     (43*S[-1, 1, 1, 1, Infinity])/140) + S[1, Infinity]^3*
    ((-7*S[-1, Infinity]^5)/720 + (13*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     ((3*S[-1, Infinity]^2)/16 + S[2, Infinity]/6)*S[3, Infinity] + 
     (23*S[5, Infinity])/384 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[3, Infinity]*((-1147*S[-1, Infinity]^5)/10080 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (313*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (57*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 + 
     (-43*S[-5, -1, Infinity] - 49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((17*S[-1, Infinity]^6)/1440 - 
     (77*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (61*S[2, Infinity]^3)/
      224 + ((-17*S[-1, Infinity]^3)/48 - (9*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] - (55*S[3, Infinity]^2)/64 + 
     (9*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/315 + 
     (9*S[-1, Infinity]^3*S[2, Infinity]^2)/16 + 
     (173*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     ((79*S[-1, Infinity]^4)/288 + (55*S[-1, Infinity]^2*S[2, Infinity])/48 + 
       (627*S[2, Infinity]^2)/560)*S[3, Infinity] + 
     (617*S[-1, Infinity]*S[3, Infinity]^2)/336 + 
     ((-23*S[-1, Infinity]^2)/128 + (5*S[2, Infinity])/448)*S[5, Infinity] + 
     (28107*S[7, Infinity])/3584 - (43*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       (3*S[-1, 1, 1, 1, 1, Infinity])/2) + 
     (-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (261760*S[-7, -1, Infinity] + 35351*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] - 
     322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, 1, -1, -1, -1, 1, Infinity] -> (53*S[-1, Infinity]^8)/40320 - 
   (179*S[-1, Infinity]^2*S[2, Infinity]^3)/84 - (6258797*S[2, Infinity]^4)/
    2352000 + ((347*S[-1, Infinity]^2)/448 - (1151*S[2, Infinity])/672)*
    S[3, Infinity]^2 + S[1, Infinity]^4*(S[-1, Infinity]^4/576 + 
     (S[-1, Infinity]^2*S[2, Infinity])/96 - (19*S[2, Infinity]^2)/960 - 
     (S[-1, Infinity]*S[3, Infinity])/96) + 
   ((-9*S[-1, Infinity]^3)/4 + (39*S[-1, Infinity]*S[2, Infinity])/28 + 
     (7279*S[3, Infinity])/3584)*S[5, Infinity] - 
   11*S[-1, Infinity]*S[7, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-233*S[-1, Infinity]^4)/1120 - 
     (43*S[-1, 1, 1, 1, Infinity])/140) + S[1, Infinity]^3*
    ((-7*S[-1, Infinity]^5)/720 + (67*S[-1, Infinity]*S[2, Infinity]^2)/240 + 
     ((3*S[-1, Infinity]^2)/16 - S[2, Infinity]/6)*S[3, Infinity] + 
     (125*S[5, Infinity])/128 + S[-1, 1, 1, 1, 1, Infinity]/2) + 
   S[3, Infinity]*((-1147*S[-1, Infinity]^5)/10080 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (871*S[-1, Infinity]*S[2, Infinity]^2)/336 + 
     (57*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 + 
     (-43*S[-5, -1, Infinity] - 49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((17*S[-1, Infinity]^6)/1440 - 
     (21*S[-1, Infinity]^2*S[2, Infinity]^2)/32 - (2687*S[2, Infinity]^3)/
      3360 + ((-17*S[-1, Infinity]^3)/48 + (7*S[-1, Infinity]*S[2, Infinity])/
        16)*S[3, Infinity] - (23*S[3, Infinity]^2)/64 - 
     (11*S[-1, Infinity]*S[5, Infinity])/4 + 
     (9*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-2*S[-1, Infinity]^7)/315 + 
     (163*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1081*S[-1, Infinity]*S[2, Infinity]^3)/336 + 
     ((79*S[-1, Infinity]^4)/288 + (7*S[-1, Infinity]^2*S[2, Infinity])/48 - 
       (307*S[2, Infinity]^2)/336)*S[3, Infinity] + 
     (281*S[-1, Infinity]*S[3, Infinity]^2)/336 + 
     ((329*S[-1, Infinity]^2)/128 - (555*S[2, Infinity])/448)*
      S[5, Infinity] + (67531*S[7, Infinity])/3584 - 
     (43*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/48 + (3*S[-1, 1, 1, 1, 1, Infinity])/
        2) + (-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (261760*S[-7, -1, Infinity] + 28183*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] - 
     322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, 1, -1, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/720 - 
   (871*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (601*S[2, Infinity]^4)/140 + (7*S[-1, Infinity]^2*S[3, Infinity]^2)/48 + 
   (-S[-1, Infinity]^3 - 3*S[-1, Infinity]*S[2, Infinity] + 2*S[3, Infinity])*
    S[5, Infinity] - 15*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/240 - 
     (27*S[-1, 1, 1, 1, Infinity])/40) + S[1, Infinity]^4*
    (S[-1, Infinity]^4/144 - (S[-1, Infinity]^2*S[2, Infinity])/48 - 
     S[2, Infinity]^2/20 - (7*S[-1, Infinity]*S[3, Infinity])/192 - 
     S[-1, 1, 1, 1, Infinity]/8) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/72 + (S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     (7*S[-1, Infinity]^2*S[3, Infinity])/96 + S[5, Infinity] + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[3, Infinity]*
    ((-101*S[-1, Infinity]^5)/2880 + (S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/720 - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/72 - 
     (17*S[-1, Infinity]^2*S[2, Infinity]^2)/40 - (101*S[2, Infinity]^3)/70 + 
     ((-7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - 3*S[-1, Infinity]*S[5, Infinity] - 
     (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (-S[-1, Infinity]^7/144 + (13*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (101*S[-1, Infinity]*S[2, Infinity]^3)/35 - 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/24 + 
     (3*S[-1, Infinity]^2 + 3*S[2, Infinity])*S[5, Infinity] + 
     15*S[7, Infinity] + S[3, Infinity]*((53*S[-1, Infinity]^4)/576 + 
       (5*S[-1, Infinity]^2*S[2, Infinity])/96 - (2*S[2, Infinity]^2)/5 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 15*S[-1, 1, 1, 1, 1, 1, 1, 
       Infinity]) - 21*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, -1, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/720 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (7*S[-1, Infinity]^2*S[3, Infinity]^2)/48 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/240 - (27*S[-1, 1, 1, 1, Infinity])/
      40) + S[1, Infinity]^4*(S[-1, Infinity]^4/144 - 
     (S[-1, Infinity]^2*S[2, Infinity])/48 - 
     (7*S[-1, Infinity]*S[3, Infinity])/192 - S[-1, 1, 1, 1, Infinity]/8) + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/72 + 
     (S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (7*S[-1, Infinity]^2*S[3, Infinity])/96 + S[-1, 1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((-101*S[-1, Infinity]^5)/2880 + 
     (S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/720 - 5*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/72 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/8 + 
     ((-7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/32)*
      S[3, Infinity] - (3*S[2, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]*
    (-S[-1, Infinity]^7/144 + (S[-1, Infinity]^3*S[2, Infinity]^2)/8 - 
     (7*S[-1, Infinity]*S[3, Infinity]^2)/24 + S[3, Infinity]*
      ((53*S[-1, Infinity]^4)/576 + (5*S[-1, Infinity]^2*S[2, Infinity])/96 - 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       3*S[-1, 1, 1, 1, 1, Infinity]) + 15*S[-1, 1, 1, 1, 1, 1, 1, 
       Infinity]) - 21*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, -1, 1, -1, -1, Infinity] -> (41*S[-1, Infinity]^8)/40320 - 
   (457*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (3566263*S[2, Infinity]^4)/2352000 + 
   ((779*S[-1, Infinity]^2)/1344 + (85*S[2, Infinity])/224)*
    S[3, Infinity]^2 + S[1, Infinity]^4*(S[-1, Infinity]^4/576 - 
     (S[-1, Infinity]^2*S[2, Infinity])/96 - S[2, Infinity]^2/192 + 
     (S[-1, Infinity]*S[3, Infinity])/192) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/180 + (S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (S[-1, Infinity]^2*S[3, Infinity])/96 + S[5, Infinity]/128) + 
   (-S[-1, Infinity]^3/4 - (81*S[-1, Infinity]*S[2, Infinity])/28 + 
     (11117*S[3, Infinity])/3584)*S[5, Infinity] - 
   4*S[-1, Infinity]*S[7, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/560 - 
     (41*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-1703*S[-1, Infinity]^5)/20160 + (S[-1, Infinity]^3*S[2, Infinity])/
      224 + (477*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + 
     (-48*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((11*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^4*S[2, Infinity])/16 - 
     (27*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (649*S[2, Infinity]^3)/
      3360 + ((-7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] + (7*S[3, Infinity]^2)/64 - 
     (S[-1, Infinity]*S[5, Infinity])/4 + 
     (-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-23*S[-1, Infinity]^7)/5040 + 
     (3*S[-1, Infinity]^5*S[2, Infinity])/80 + 
     (77*S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (1153*S[-1, Infinity]*S[2, Infinity]^3)/1680 + 
     ((77*S[-1, Infinity]^4)/576 + (37*S[-1, Infinity]^2*S[2, Infinity])/96 + 
       (149*S[2, Infinity]^2)/1680)*S[3, Infinity] + 
     (83*S[-1, Infinity]*S[3, Infinity]^2)/336 + 
     (S[-1, Infinity]^2/128 + (947*S[2, Infinity])/448)*S[5, Infinity] - 
     (5161*S[7, Infinity])/3584 - (27*S[-1, Infinity]*S[-5, -1, Infinity])/
      28 + (-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (60800*S[-7, -1, Infinity] - 43*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 26240*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, 1, -1, 1, -1, 1, Infinity] -> (41*S[-1, Infinity]^8)/40320 - 
   (8*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (365237*S[2, Infinity]^4)/
    784000 + ((107*S[-1, Infinity]^2)/1344 - (27*S[2, Infinity])/224)*
    S[3, Infinity]^2 + S[1, Infinity]^4*(S[-1, Infinity]^4/576 - 
     (S[-1, Infinity]^2*S[2, Infinity])/96 + S[2, Infinity]^2/64 + 
     (S[-1, Infinity]*S[3, Infinity])/192) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/180 + (S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/240 - 
     (S[-1, Infinity]^2*S[3, Infinity])/96 - (29*S[5, Infinity])/384) + 
   (-S[-1, Infinity]^3/6 - (37*S[-1, Infinity]*S[2, Infinity])/14 - 
     (11449*S[3, Infinity])/10752)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-107*S[-1, Infinity]^4)/840 - 
     (41*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-1703*S[-1, Infinity]^5)/20160 + (S[-1, Infinity]^3*S[2, Infinity])/
      224 - (7753*S[-1, Infinity]*S[2, Infinity]^2)/6720 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + 
     (-48*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   S[1, Infinity]^2*((11*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^4*S[2, Infinity])/16 - 
     (7*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (137*S[2, Infinity]^3)/
      1120 + ((-7*S[-1, Infinity]^3)/96 - (7*S[-1, Infinity]*S[2, Infinity])/
        32)*S[3, Infinity] - (25*S[3, Infinity]^2)/64 + 
     (-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   S[1, Infinity]*((-23*S[-1, Infinity]^7)/5040 + 
     (3*S[-1, Infinity]^5*S[2, Infinity])/80 + 
     (19*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (31*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     ((77*S[-1, Infinity]^4)/576 + (37*S[-1, Infinity]^2*S[2, Infinity])/96 + 
       (163*S[2, Infinity]^2)/112)*S[3, Infinity] + 
     (419*S[-1, Infinity]*S[3, Infinity]^2)/336 + 
     ((-31*S[-1, Infinity]^2)/128 + (835*S[2, Infinity])/448)*
      S[5, Infinity] - (19497*S[7, Infinity])/3584 - 
     (27*S[-1, Infinity]*S[-5, -1, Infinity])/28 + 
     (-27*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (60800*S[-7, -1, Infinity] - 7211*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 26240*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[1, 1, 1, 1, -1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/1008 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (303*S[2, Infinity]^4)/1120 + ((5*S[-1, Infinity]^2)/12 - 
     S[2, Infinity]/12)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]^3)/6 - (S[-1, Infinity]*S[2, Infinity])/2 - 
     (161*S[3, Infinity])/128)*S[5, Infinity] + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 - (5*S[-5, -1, Infinity])/2) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/144 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/40 + (51*S[2, Infinity]^3)/280 - 
     (S[-1, Infinity]^3*S[3, Infinity])/4 - S[3, Infinity]^2/4 + 
     S[2, Infinity]*(-S[-1, Infinity]^4/16 + S[-1, 1, 1, 1, Infinity]/4)) + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/48 + S[-1, 1, 1, 1, Infinity]/
      40) + S[1, Infinity]^4*(S[2, Infinity]^2/60 + 
     S[-1, 1, 1, 1, Infinity]/24) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/240 + (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     (S[-1, Infinity]^2/12 + S[2, Infinity]/12)*S[3, Infinity] - 
     (21*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/6) + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/120 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/30 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]*
    ((-11*S[-1, Infinity]^7)/2520 + (29*S[-1, Infinity]^3*S[2, Infinity]^2)/
      120 + (9*S[-1, Infinity]*S[2, Infinity]^3)/280 + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     (33*S[-1, Infinity]^2*S[5, Infinity])/64 - (387*S[7, Infinity])/256 - 
     (S[-1, Infinity]*S[-5, -1, Infinity])/2 + S[3, Infinity]*
      (S[-1, Infinity]^4/4 + (97*S[2, Infinity]^2)/120 + 
       S[-1, 1, 1, 1, Infinity]/3) + S[2, Infinity]*
      ((3*S[-1, Infinity]^5)/80 - S[-1, 1, 1, 1, 1, Infinity]/2) + 
     (-S[-5, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (704*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[1, 1, 1, 1, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/1008 - (19*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (4891*S[2, Infinity]^4)/5600 + ((11*S[-1, Infinity]^2)/12 - 
     (5*S[2, Infinity])/12)*S[3, Infinity]^2 + 
   ((-7*S[-1, Infinity]^3)/6 + (S[-1, Infinity]*S[2, Infinity])/2 + 
     (925*S[3, Infinity])/384)*S[5, Infinity] - 
   5*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]*
    (-S[-1, Infinity]^6/144 - (5*S[-5, -1, Infinity])/2) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/144 - 
     (S[-1, Infinity]^2*S[2, Infinity]^2)/8 - (23*S[2, Infinity]^3)/280 + 
     (-S[-1, Infinity]^3/4 + (S[-1, Infinity]*S[2, Infinity])/2)*
      S[3, Infinity] + S[3, Infinity]^2/4 - S[-1, Infinity]*S[5, Infinity] + 
     S[2, Infinity]*(-S[-1, Infinity]^4/16 + S[-1, 1, 1, 1, Infinity]/4)) + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/80 + S[-1, 1, 1, 1, Infinity]/
      40) + (S[1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     (S[-1, Infinity]^2/12 - S[2, Infinity]/12)*S[3, Infinity] + 
     S[5, Infinity]/192 - S[-1, 1, 1, 1, 1, Infinity]/6) + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/120 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/30 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]*
    ((-11*S[-1, Infinity]^7)/2520 + (37*S[-1, Infinity]^3*S[2, Infinity]^2)/
      120 + (157*S[-1, Infinity]*S[2, Infinity]^3)/280 - 
     (3*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     ((97*S[-1, Infinity]^2)/64 - S[2, Infinity])*S[5, Infinity] + 
     (893*S[7, Infinity])/256 - (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[3, Infinity]*(S[-1, Infinity]^4/4 - (S[-1, Infinity]^2*S[2, Infinity])/
        2 - (13*S[2, Infinity]^2)/40 + S[-1, 1, 1, 1, Infinity]/3) + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/80 - S[-1, 1, 1, 1, 1, Infinity]/
        2) + (-S[-5, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      2) + (704*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[1, 1, 1, 1, 1, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/1440 + (1039*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1261*S[2, Infinity]^4)/700 + S[1, Infinity]^5*(S[-1, Infinity]^3/720 + 
     (S[-1, Infinity]*S[2, Infinity])/240 - S[3, Infinity]/480) + 
   (-S[-1, Infinity]^2/3 - S[2, Infinity]/24)*S[3, Infinity]^2 + 
   ((7*S[-1, Infinity]^3)/10 + (21*S[-1, Infinity]*S[2, Infinity])/10 - 
     (83*S[3, Infinity])/60)*S[5, Infinity] + 
   6*S[-1, Infinity]*S[7, Infinity] + S[1, Infinity]^4*
    (-S[-1, Infinity]^4/96 + (S[-1, Infinity]^2*S[2, Infinity])/96 + 
     S[2, Infinity]^2/20 + (S[-1, Infinity]*S[3, Infinity])/12 + 
     S[-1, 1, 1, 1, Infinity]/8) + S[2, Infinity]^2*
    (S[-1, Infinity]^4/240 + (27*S[-1, 1, 1, 1, Infinity])/40) + 
   S[3, Infinity]*((2*S[-1, Infinity]^5)/45 + 
     (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (2*S[-1, Infinity]*S[2, Infinity]^2)/15 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/72 - (19*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     (-S[-1, Infinity]^2/6 - S[2, Infinity]/48)*S[3, Infinity] - 
     (2*S[5, Infinity])/3 - (2*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/96 + (29*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + 
     (61*S[2, Infinity]^3)/70 + ((7*S[-1, Infinity]^3)/36 + 
       (7*S[-1, Infinity]*S[2, Infinity])/12)*S[3, Infinity] - 
     S[3, Infinity]^2/24 + 2*S[-1, Infinity]*S[5, Infinity] + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/96 + (3*S[-1, 1, 1, 1, Infinity])/
        4) + (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/240 - 
     (49*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (913*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (2*S[-1, Infinity]*S[3, Infinity]^2)/3 + 
     (-2*S[-1, Infinity]^2 - 2*S[2, Infinity])*S[5, Infinity] - 
     6*S[7, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^4/6 - 
       (5*S[-1, Infinity]^2*S[2, Infinity])/12 + (11*S[2, Infinity]^2)/32 + 
       S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*((3*S[-1, Infinity]^5)/80 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   7*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 1, -1, -1, 1, Infinity] -> -S[-1, Infinity]^8/1440 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (S[1, Infinity]^5*(S[-1, Infinity]^3/144 + 
      (S[-1, Infinity]*S[2, Infinity])/48 + (7*S[3, Infinity])/96))/5 + 
   (7*S[2, Infinity]*S[3, Infinity]^2)/24 + 
   (S[-1, Infinity]^3/30 + (S[-1, Infinity]*S[2, Infinity])/10 + 
     (7*S[3, Infinity])/20)*S[5, Infinity] + S[1, Infinity]^4*
    (-S[-1, Infinity]^4/96 + (S[-1, Infinity]^2*S[2, Infinity])/96 + 
     S[-1, 1, 1, 1, Infinity]/8) + S[2, Infinity]^2*
    ((-11*S[-1, Infinity]^4)/240 + (27*S[-1, 1, 1, 1, Infinity])/40) + 
   S[3, Infinity]*(S[-1, Infinity]^5/36 + (S[-1, Infinity]*S[2, Infinity]^2)/
      12 - (4*S[-1, 1, 1, 1, 1, Infinity])/3) + 
   S[1, Infinity]^3*(S[-1, Infinity]^5/72 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/24 + 
     (7*S[2, Infinity]*S[3, Infinity])/48 - (2*S[-1, 1, 1, 1, 1, Infinity])/
      3) + S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/96 + (S[-1, Infinity]^2*S[2, Infinity]^2)/16 + 
     (S[-1, Infinity]^3/36 + (S[-1, Infinity]*S[2, Infinity])/12)*
      S[3, Infinity] + (7*S[3, Infinity]^2)/24 + 
     S[2, Infinity]*((-5*S[-1, Infinity]^4)/96 + (3*S[-1, 1, 1, 1, Infinity])/
        4) + (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[1, Infinity]*(S[-1, Infinity]^7/240 - 
     (S[-1, Infinity]^3*S[2, Infinity]^2)/240 + 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/80 + S[3, Infinity]*
      (-S[-1, Infinity]^4/12 + (S[-1, Infinity]^2*S[2, Infinity])/12 + 
       (63*S[2, Infinity]^2)/160 + S[-1, 1, 1, 1, Infinity]) + 
     S[2, Infinity]*((3*S[-1, Infinity]^5)/80 - 
       2*S[-1, 1, 1, 1, 1, Infinity]) - 
     6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   7*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 1, -1, 1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/8064 + 
   (31*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (4833*S[2, Infinity]^4)/
    11200 + S[1, Infinity]^4*(-S[-1, Infinity]^4/192 + 
     (S[-1, Infinity]^2*S[2, Infinity])/48 - S[2, Infinity]^2/480) + 
   S[1, Infinity]^5*(S[-1, Infinity]^3/720 - (S[-1, Infinity]*S[2, Infinity])/
      240 + S[3, Infinity]/960) + 
   (-S[-1, Infinity]^2/6 + (7*S[2, Infinity])/24)*S[3, Infinity]^2 + 
   ((11*S[-1, Infinity]^3)/30 + (2*S[-1, Infinity]*S[2, Infinity])/5 + 
     (1951*S[3, Infinity])/3840)*S[5, Infinity] + 
   S[2, Infinity]^2*((91*S[-1, Infinity]^4)/960 + S[-1, 1, 1, 1, Infinity]/
      10) + S[3, Infinity]*((11*S[-1, Infinity]^5)/180 + 
     (S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/20 - (4*S[-1, 1, 1, 1, 1, Infinity])/
      3) + S[1, Infinity]^3*((7*S[-1, Infinity]^5)/720 - 
     (S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     (-S[-1, Infinity]^2/12 - (7*S[2, Infinity])/96)*S[3, Infinity] + 
     S[5, Infinity]/192 - S[-1, 1, 1, 1, 1, Infinity]/6) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + S[-5, -1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/32 + 
     (5*S[-1, Infinity]^2*S[2, Infinity]^2)/16 + (7*S[2, Infinity]^3)/80 + 
     ((7*S[-1, Infinity]^3)/36 + (S[-1, Infinity]*S[2, Infinity])/6)*
      S[3, Infinity] + S[3, Infinity]^2/3 + 
     (-S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(S[-1, Infinity]^7/280 - 
     (77*S[-1, Infinity]^3*S[2, Infinity]^2)/240 - 
     (401*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/6 - (S[-1, Infinity]^2*S[2, Infinity])/3 - 
       (589*S[2, Infinity]^2)/960)*S[3, Infinity] - 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/8 + 
     (-S[-1, Infinity]^2/64 - (15*S[2, Infinity])/32)*S[5, Infinity] - 
     (123*S[7, Infinity])/256 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 - S[-1, 1, 1, 1, 1, Infinity]/
        2) + (S[-5, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      2) + (-768*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] + 1024*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[1, 1, 1, 1, 1, -1, 1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/8064 + (93*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1593*S[2, Infinity]^4)/2240 + 
   (S[1, Infinity]^5*(S[-1, Infinity]^3/144 - 
      (S[-1, Infinity]*S[2, Infinity])/48 - (7*S[3, Infinity])/192))/5 + 
   ((-7*S[-1, Infinity]^2)/12 + (5*S[2, Infinity])/24)*S[3, Infinity]^2 + 
   S[1, Infinity]^4*(-S[-1, Infinity]^4/192 + 
     (S[-1, Infinity]^2*S[2, Infinity])/48 + S[2, Infinity]^2/480 + 
     (S[-1, Infinity]*S[3, Infinity])/24) + 
   ((7*S[-1, Infinity]^3)/10 + (2*S[-1, Infinity]*S[2, Infinity])/5 - 
     (1739*S[3, Infinity])/1280)*S[5, Infinity] + 
   3*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    ((19*S[-1, Infinity]^4)/192 + S[-1, 1, 1, 1, Infinity]/10) + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/72 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/120 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/3) + S[1, Infinity]^3*
    ((7*S[-1, Infinity]^5)/720 - (S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/60 + 
     (-S[-1, Infinity]^2/6 + S[2, Infinity]/96)*S[3, Infinity] - 
     (21*S[5, Infinity])/64 - S[-1, 1, 1, 1, 1, Infinity]/6) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + S[-5, -1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + S[1, Infinity]^2*
    (-S[-1, Infinity]^6/120 + (S[-1, Infinity]^4*S[2, Infinity])/32 + 
     (27*S[-1, Infinity]^2*S[2, Infinity]^2)/80 + (111*S[2, Infinity]^3)/
      560 + ((5*S[-1, Infinity]^3)/18 - (S[-1, Infinity]*S[2, Infinity])/12)*
      S[3, Infinity] - S[3, Infinity]^2/12 + S[-1, Infinity]*S[5, Infinity] + 
     (-S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   S[1, Infinity]*(S[-1, Infinity]^7/280 - 
     (27*S[-1, Infinity]^3*S[2, Infinity]^2)/80 - 
     (15*S[-1, Infinity]*S[2, Infinity]^3)/16 + 
     ((-5*S[-1, Infinity]^4)/24 - (S[-1, Infinity]^2*S[2, Infinity])/12 + 
       (91*S[2, Infinity]^2)/960)*S[3, Infinity] + 
     (5*S[-1, Infinity]*S[3, Infinity]^2)/24 + 
     ((-65*S[-1, Infinity]^2)/64 - (15*S[2, Infinity])/32)*S[5, Infinity] - 
     (891*S[7, Infinity])/256 + (S[-1, Infinity]*S[-5, -1, Infinity])/2 + 
     S[2, Infinity]*(-S[-1, Infinity]^5/240 - S[-1, 1, 1, 1, 1, Infinity]/
        2) + (S[-5, 1, 1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, 1, Infinity])/
      2) + (-768*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] + 1024*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[1, 1, 1, 1, 1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/5040 + S[1, Infinity]^6*(S[-1, Infinity]^2/1440 + 
     S[2, Infinity]/1440) + (61*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (61*S[2, Infinity]^4)/1120 + S[1, Infinity]^5*(-S[-1, Infinity]^3/360 - 
     (S[-1, Infinity]*S[2, Infinity])/240 - (7*S[3, Infinity])/960) + 
   (S[-1, Infinity]^2/36 - (17*S[2, Infinity])/144)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/15 - (S[-1, Infinity]*S[2, Infinity])/10 - 
     (7*S[3, Infinity])/40)*S[5, Infinity] + S[2, Infinity]^2*
    ((3*S[-1, Infinity]^4)/80 - (9*S[-1, 1, 1, 1, Infinity])/40) + 
   S[1, Infinity]^4*(S[-1, Infinity]^4/144 + 
     (S[-1, Infinity]^2*S[2, Infinity])/96 + S[2, Infinity]^2/96 - 
     S[-1, 1, 1, 1, Infinity]/24) + S[1, Infinity]^3*
    (-S[-1, Infinity]^5/144 - (S[-1, Infinity]^3*S[2, Infinity])/36 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/24 + 
     (S[-1, Infinity]^2/36 - (13*S[2, Infinity])/288)*S[3, Infinity] + 
     S[-1, 1, 1, 1, 1, Infinity]/6) + S[3, Infinity]*
    (-S[-1, Infinity]^5/72 - (S[-1, Infinity]^3*S[2, Infinity])/18 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/12 + S[-1, 1, 1, 1, 1, Infinity]/3) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - S[-1, 1, 1, 1, 1, 1, Infinity]/
      2) + S[1, Infinity]^2*(S[-1, Infinity]^6/240 + 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + (9*S[2, Infinity]^3)/160 + 
     (-S[-1, Infinity]^3/18 - (S[-1, Infinity]*S[2, Infinity])/12)*
      S[3, Infinity] - (7*S[3, Infinity]^2)/48 + 
     S[2, Infinity]*(S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity]/4) - 
     S[-1, 1, 1, 1, 1, 1, Infinity]/2) + S[1, Infinity]*
    (-S[-1, Infinity]^7/720 - (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 - 
     (9*S[-1, Infinity]*S[2, Infinity]^3)/80 + 
     (S[-1, Infinity]^2/10 + S[2, Infinity]/10)*S[5, Infinity] + 
     S[3, Infinity]*(S[-1, Infinity]^4/18 + 
       (S[-1, Infinity]^2*S[2, Infinity])/12 - (109*S[2, Infinity]^2)/960 - 
       S[-1, 1, 1, 1, Infinity]/3) + S[2, Infinity]*(-S[-1, Infinity]^5/48 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, 1, 1, 1, 1, 1, 1, Infinity]) - 
   S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/5040 + 
   (S[1, Infinity]^6*(S[-1, Infinity]^2/96 - S[2, Infinity]/96))/15 - 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (2217*S[2, Infinity]^4)/5600 + S[1, Infinity]^5*
    (-S[-1, Infinity]^3/360 + (S[-1, Infinity]*S[2, Infinity])/240 + 
     S[3, Infinity]/960) + ((7*S[-1, Infinity]^2)/36 - S[2, Infinity]/144)*
    S[3, Infinity]^2 + ((-7*S[-1, Infinity]^3)/30 - 
     (2*S[-1, Infinity]*S[2, Infinity])/5 + (43*S[3, Infinity])/120)*
    S[5, Infinity] - S[-1, Infinity]*S[7, Infinity] + 
   S[1, Infinity]^4*(S[-1, Infinity]^4/144 - 
     (S[-1, Infinity]^2*S[2, Infinity])/96 - (13*S[2, Infinity]^2)/480 - 
     (S[-1, Infinity]*S[3, Infinity])/24 - S[-1, 1, 1, 1, Infinity]/24) - 
   (9*S[2, Infinity]^2*S[-1, 1, 1, 1, Infinity])/40 + 
   S[1, Infinity]^3*(-S[-1, Infinity]^5/144 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     (S[-1, Infinity]^2/9 - (5*S[2, Infinity])/288)*S[3, Infinity] + 
     S[5, Infinity]/6 + S[-1, 1, 1, 1, 1, Infinity]/6) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/45 - (S[-1, Infinity]^3*S[2, Infinity])/
      12 - (S[-1, Infinity]*S[2, Infinity]^2)/120 + 
     S[-1, 1, 1, 1, 1, Infinity]/3) + S[2, Infinity]*
    (S[-1, Infinity]^6/360 - S[-1, 1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]^2*(S[-1, Infinity]^6/240 - 
     (27*S[-1, Infinity]^2*S[2, Infinity]^2)/160 - (303*S[2, Infinity]^3)/
      1120 + ((-5*S[-1, Infinity]^3)/36 - (S[-1, Infinity]*S[2, Infinity])/6)*
      S[3, Infinity] + S[3, Infinity]^2/48 - (S[-1, Infinity]*S[5, Infinity])/
      2 + S[2, Infinity]*(S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]/
        4) - S[-1, 1, 1, 1, 1, 1, Infinity]/2) + 
   S[1, Infinity]*(-S[-1, Infinity]^7/720 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/40 + 
     (303*S[-1, Infinity]*S[2, Infinity]^3)/560 - 
     (S[-1, Infinity]*S[3, Infinity]^2)/3 + 
     ((3*S[-1, Infinity]^2)/5 + (2*S[2, Infinity])/5)*S[5, Infinity] + 
     S[7, Infinity] + S[3, Infinity]*((7*S[-1, Infinity]^4)/72 + 
       (S[-1, Infinity]^2*S[2, Infinity])/6 - (181*S[2, Infinity]^2)/960 - 
       S[-1, 1, 1, 1, Infinity]/3) + S[2, Infinity]*(-S[-1, Infinity]^5/80 + 
       S[-1, 1, 1, 1, 1, Infinity]/2) + S[-1, 1, 1, 1, 1, 1, 1, Infinity]) - 
   S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[1, 1, 1, 1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/40320 - 
   (S[-1, Infinity]^2*S[1, Infinity]^6)/1440 + 
   (S[-1, Infinity]*S[1, Infinity]^7)/5040 - 
   (S[-1, Infinity]^6*S[2, Infinity])/1440 - 
   (3*S[-1, Infinity]^4*S[2, Infinity]^2)/320 - 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   S[1, Infinity]^5*(S[-1, Infinity]^3/720 + (S[-1, Infinity]*S[2, Infinity])/
      240) + (S[-1, Infinity]^5/360 + (S[-1, Infinity]^3*S[2, Infinity])/36 + 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/40)*S[3, Infinity] - 
   (S[-1, Infinity]^2*S[3, Infinity]^2)/36 + S[1, Infinity]^4*
    (-S[-1, Infinity]^4/576 - (S[-1, Infinity]^2*S[2, Infinity])/96 + 
     (S[-1, Infinity]*S[3, Infinity])/72) + S[1, Infinity]^3*
    (S[-1, Infinity]^5/720 + (S[-1, Infinity]^3*S[2, Infinity])/72 + 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (S[-1, Infinity]^2*S[3, Infinity])/36) + 
   (S[-1, Infinity]^3/30 + (S[-1, Infinity]*S[2, Infinity])/10)*
    S[5, Infinity] + S[1, Infinity]^2*(-S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^4*S[2, Infinity])/96 - 
     (9*S[-1, Infinity]^2*S[2, Infinity]^2)/160 + 
     (S[-1, Infinity]^3/36 + (S[-1, Infinity]*S[2, Infinity])/12)*
      S[3, Infinity] + (S[-1, Infinity]*S[5, Infinity])/10) + 
   S[1, Infinity]*(S[-1, Infinity]^7/5040 + 
     (S[-1, Infinity]^5*S[2, Infinity])/240 + 
     (3*S[-1, Infinity]^3*S[2, Infinity]^2)/80 + 
     (61*S[-1, Infinity]*S[2, Infinity]^3)/560 + 
     (-S[-1, Infinity]^4/72 - (S[-1, Infinity]^2*S[2, Infinity])/12)*
      S[3, Infinity] + (S[-1, Infinity]*S[3, Infinity]^2)/18 - 
     (S[-1, Infinity]^2*S[5, Infinity])/10) + 
   (S[-1, Infinity]*S[7, Infinity])/7, S[1, 1, 1, 1, 1, 1, 1, 1, Infinity] -> 
  S[1, Infinity]^8/40320 + (S[1, Infinity]^6*S[2, Infinity])/1440 + 
   (3*S[1, Infinity]^4*S[2, Infinity]^2)/320 + (1261*S[2, Infinity]^4)/
    22400 + (S[1, Infinity]^5*S[3, Infinity])/360 + 
   (S[2, Infinity]*S[3, Infinity]^2)/36 + S[1, Infinity]^2*
    ((61*S[2, Infinity]^3)/1120 + S[3, Infinity]^2/36) + 
   S[1, Infinity]^3*((S[2, Infinity]*S[3, Infinity])/36 + 
     S[5, Infinity]/30) + (S[3, Infinity]*S[5, Infinity])/15 + 
   S[1, Infinity]*((3*S[2, Infinity]^2*S[3, Infinity])/40 + 
     (S[2, Infinity]*S[5, Infinity])/10 + S[7, Infinity]/7), 
 S[-1, 1, 1, 1, 1, 1, 1, -1, Infinity] -> (24*S[2, Infinity]^4)/175 + 
   S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, 1, 1, -1, 1, Infinity] -> (54*S[2, Infinity]^4)/175 - 
   S[3, Infinity]*S[5, Infinity] + S[-1, Infinity]*S[7, Infinity] - 
   S[-1, 1, 1, 1, Infinity]^2/2 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]/2) - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, 1, 1, -1, -1, Infinity] -> S[-1, Infinity]*S[7, Infinity] - 
   S[-1, 1, 1, 1, Infinity]^2/2 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 - 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]/2) - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 1, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/2016 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (4457*S[2, Infinity]^4)/11200 + ((-49*S[-1, Infinity]^2)/128 - 
     S[2, Infinity]/128)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 + S[-1, Infinity]*S[2, Infinity] + 
     (357*S[3, Infinity])/512)*S[5, Infinity] - 
   (891*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/80 + S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/480 - (S[-1, Infinity]^3*S[2, Infinity])/
      48 - (71*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity] - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-3136*S[-7, -1, Infinity] - 117*S[5, 3, Infinity] + 
     256*S[-5, -1, -1, -1, Infinity] - 512*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/512, 
 S[-1, 1, 1, 1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/2016 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1229*S[2, Infinity]^4)/56000 + ((-49*S[-1, Infinity]^2)/128 - 
     (65*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 + S[-1, Infinity]*S[2, Infinity] + 
     (1381*S[3, Infinity])/512)*S[5, Infinity] - 
   (891*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/80 + S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/480 - (S[-1, Infinity]^3*S[2, Infinity])/
      48 - (71*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity] - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-15680*S[-7, -1, Infinity] + 439*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     12800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-1, 1, 1, 1, 1, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/2016 + 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1131*S[2, Infinity]^4)/8000 + ((-9*S[-1, Infinity]^2)/128 - 
     (41*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((3*S[-1, Infinity]*S[2, Infinity])/2 + (1571*S[3, Infinity])/512)*
    S[5, Infinity] - 6*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/60 + S[-1, 1, 1, 1, Infinity]/10) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/160 + 
     (S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    (-S[-1, Infinity]^6/180 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-5, -1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      10*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-8000*S[-7, -1, Infinity] + 1207*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, 1, 1, 1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/2016 + (71*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (21*S[2, Infinity]^4)/8000 + ((-9*S[-1, Infinity]^2)/128 - 
     (41*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((3*S[-1, Infinity]*S[2, Infinity])/2 + (2595*S[3, Infinity])/512)*
    S[5, Infinity] - 6*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/60 + S[-1, 1, 1, 1, Infinity]/10) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/160 + 
     (S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    (-S[-1, Infinity]^6/180 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-5, -1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      10*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-8000*S[-7, -1, Infinity] + 183*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, 1, 1, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/4032 + (57*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (2263*S[2, Infinity]^4)/16000 + ((87*S[-1, Infinity]^2)/256 - 
     (297*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-23*S[-1, Infinity]^3)/48 + (87*S[-1, Infinity]*S[2, Infinity])/32 + 
     (2507*S[3, Infinity])/1024)*S[5, Infinity] + 
   (893*S[-1, Infinity]*S[7, Infinity])/256 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/60 - (3*S[-1, 1, 1, 1, Infinity])/
      20) - (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/960 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (433*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 - 2*S[-5, -1, Infinity] + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (39360*S[-7, -1, Infinity] + 3819*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 - 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, 1, 1, -1, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/4032 + (57*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (409*S[2, Infinity]^4)/16000 + ((87*S[-1, Infinity]^2)/256 - 
     (41*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-23*S[-1, Infinity]^3)/48 + (87*S[-1, Infinity]*S[2, Infinity])/32 - 
     (1077*S[3, Infinity])/1024)*S[5, Infinity] + 
   (893*S[-1, Infinity]*S[7, Infinity])/256 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/60 - (3*S[-1, 1, 1, 1, Infinity])/
      20) - (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/960 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (433*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 - 2*S[-5, -1, Infinity] + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (39360*S[-7, -1, Infinity] + 2283*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 - 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, 1, 1, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/4032 + (477*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (402631*S[2, Infinity]^4)/784000 + 
   ((1129*S[-1, Infinity]^2)/1792 + (1345*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-61*S[-1, Infinity]^3)/192 + 
     (207*S[-1, Infinity]*S[2, Infinity])/224 - (5745*S[3, Infinity])/7168)*
    S[5, Infinity] - (5161*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/1120 - 
     (17*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/1344 + (185*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (4219*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-12*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (-75*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (200000*S[-7, -1, Infinity] - 6351*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, 1, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/4032 + 
   (477*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1857493*S[2, Infinity]^4)/2352000 + 
   ((1129*S[-1, Infinity]^2)/1792 - (1343*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-61*S[-1, Infinity]^3)/192 + 
     (207*S[-1, Infinity]*S[2, Infinity])/224 + (26511*S[3, Infinity])/7168)*
    S[5, Infinity] - (5161*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/1120 - 
     (17*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/1344 + (185*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (4219*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-12*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (-75*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (200000*S[-7, -1, Infinity] + 29489*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, 1, -1, -1, 1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/4032 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/32 - (14317*S[2, Infinity]^4)/22400 + 
   ((45*S[-1, Infinity]^2)/256 + (205*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/6 - (17*S[-1, Infinity]*S[2, Infinity])/4 - 
     (8751*S[3, Infinity])/1024)*S[5, Infinity] + 
   15*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity]/4) + 
   S[3, Infinity]*(S[-1, Infinity]^5/64 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/72 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (5*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 15*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (8000*S[-7, -1, Infinity] - 1207*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2 - 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-1, 1, 1, 1, -1, -1, 1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/4032 - (S[-1, Infinity]^2*S[2, Infinity]^3)/32 - 
   (14317*S[2, Infinity]^4)/22400 + ((45*S[-1, Infinity]^2)/256 + 
     (205*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/6 - (17*S[-1, Infinity]*S[2, Infinity])/4 - 
     (8751*S[3, Infinity])/1024)*S[5, Infinity] + 
   15*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity]/4) + 
   S[3, Infinity]*(S[-1, Infinity]^5/64 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/72 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (5*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 15*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (8000*S[-7, -1, Infinity] - 183*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2 - 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-1, 1, 1, 1, -1, -1, -1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/4032 + (223*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1457273*S[2, Infinity]^4)/2352000 + 
   ((2035*S[-1, Infinity]^2)/1792 - (645*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-247*S[-1, Infinity]^3)/192 - 
     (163*S[-1, Infinity]*S[2, Infinity])/112 - (15451*S[3, Infinity])/7168)*
    S[5, Infinity] + (67531*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/3360 - 
     (39*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-67*S[-1, Infinity]^5)/6720 + 
     (67*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3369*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (165*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-2*S[-5, -1, Infinity] - 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-219*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (803520*S[-7, -1, Infinity] + 35639*S[5, 3, Infinity] - 
     19200*S[-5, -1, -1, -1, Infinity] + 99840*S[-5, -1, 1, 1, Infinity] - 
     609280*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, 1, -1, -1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/4032 + 
   (223*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (18643*S[2, Infinity]^4)/784000 + ((2035*S[-1, Infinity]^2)/1792 + 
     (1147*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-247*S[-1, Infinity]^3)/192 - (163*S[-1, Infinity]*S[2, Infinity])/112 - 
     (58459*S[3, Infinity])/7168)*S[5, Infinity] + 
   (67531*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/3360 - 
     (39*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-67*S[-1, Infinity]^5)/6720 + 
     (67*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3369*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (165*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-2*S[-5, -1, Infinity] - 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-219*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (803520*S[-7, -1, Infinity] + 24887*S[5, 3, Infinity] - 
     19200*S[-5, -1, -1, -1, Infinity] + 99840*S[-5, -1, 1, 1, Infinity] - 
     609280*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, -1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/2520 - 
   (257*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (48837*S[2, Infinity]^4)/156800 + ((1719*S[-1, Infinity]^2)/1792 + 
     (5367*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-125*S[-1, Infinity]^3)/192 - (4471*S[-1, Infinity]*S[2, Infinity])/
      448 - (19793*S[3, Infinity])/7168)*S[5, Infinity] - 
   (387*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/672 - (9*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((13*S[-1, Infinity]^5)/6720 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (10623*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(65*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-101952*S[-7, -1, Infinity] - 22521*S[5, 3, Infinity] - 
     20224*S[-5, -1, -1, -1, Infinity] + 2304*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, 1, -1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/2520 - 
   (257*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (878553*S[2, Infinity]^4)/784000 + 
   ((1719*S[-1, Infinity]^2)/1792 + (4471*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/192 - 
     (4471*S[-1, Infinity]*S[2, Infinity])/448 + (12463*S[3, Infinity])/7168)*
    S[5, Infinity] - (387*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/672 - (9*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((13*S[-1, Infinity]^5)/6720 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (10623*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(65*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-509760*S[-7, -1, Infinity] - 101853*S[5, 3, Infinity] - 
     101120*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, -1, 1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/2520 - 
   (423*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (197*S[2, Infinity]^4)/200 + ((1359*S[-1, Infinity]^2)/1792 - 
     (169*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-145*S[-1, Infinity]^3)/64 - (577*S[-1, Infinity]*S[2, Infinity])/56 + 
     (1059*S[3, Infinity])/256)*S[5, Infinity] + 
   (123437*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/80 - (2*S[-1, 1, 1, 1, Infinity])/5) + 
   (3*S[5, 3, Infinity] - S[-1, 1, 1, 1, Infinity]^2)/2 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/960 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (431*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, 1, -1, 1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/2520 - 
   (423*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + (5*S[2, Infinity]^4)/6 + 
   ((1359*S[-1, Infinity]^2)/1792 + (471*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-145*S[-1, Infinity]^3)/64 - 
     (577*S[-1, Infinity]*S[2, Infinity])/56 - (2013*S[3, Infinity])/256)*
    S[5, Infinity] + (123437*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/80 - (2*S[-1, 1, 1, 1, Infinity])/5) + 
   (-3*S[5, 3, Infinity] - S[-1, 1, 1, 1, Infinity]^2)/2 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/960 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (431*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, 1, -1, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/10080 - 
   (1867*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (427733*S[2, Infinity]^4)/470400 + 
   ((-199*S[-1, Infinity]^2)/1792 + (2187*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/192 - 
     (1587*S[-1, Infinity]*S[2, Infinity])/448 - (17763*S[3, Infinity])/3584)*
    S[5, Infinity] + (32715*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + (139*S[-5, -1, Infinity])/28) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/840 + (13*S[-1, 1, 1, 1, Infinity])/
      35) + S[3, Infinity]*((53*S[-1, Infinity]^5)/2240 - 
     (271*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3453*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4624*S[-7, -1, Infinity] - 905*S[5, 3, Infinity] - 
     288*S[-5, -1, -1, -1, Infinity] - 832*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[-1, 1, 1, -1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/10080 - 
   (1867*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (624853*S[2, Infinity]^4)/470400 + 
   ((-199*S[-1, Infinity]^2)/1792 + (3083*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/192 - 
     (1587*S[-1, Infinity]*S[2, Infinity])/448 - (26723*S[3, Infinity])/3584)*
    S[5, Infinity] + (32715*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + (139*S[-5, -1, Infinity])/28) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/840 + (13*S[-1, 1, 1, 1, Infinity])/
      35) + S[3, Infinity]*((53*S[-1, Infinity]^5)/2240 - 
     (271*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3453*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4624*S[-7, -1, Infinity] - 905*S[5, 3, Infinity] - 
     288*S[-5, -1, -1, -1, Infinity] - 832*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[-1, 1, 1, -1, 1, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/10080 - 
   (697*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (31573*S[2, Infinity]^4)/58800 + ((23*S[-1, Infinity]^2)/256 + 
     (4733*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((247*S[-1, Infinity]^3)/192 - (13*S[-1, Infinity]*S[2, Infinity])/4 + 
     (28863*S[3, Infinity])/7168)*S[5, Infinity] - 
   (32393*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/672 + 
     (211*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/2240 - 
     (235*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1153*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (25*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (205*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(7*S[-5, -1, Infinity] + 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 66*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-196544*S[-7, -1, Infinity] - 20747*S[5, 3, Infinity] - 
     28416*S[-5, -1, -1, -1, Infinity] - 11008*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 57344*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, 1, -1, 1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/10080 - (697*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (140993*S[2, Infinity]^4)/294000 + 
   ((23*S[-1, Infinity]^2)/256 + (7421*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((247*S[-1, Infinity]^3)/192 - 
     (13*S[-1, Infinity]*S[2, Infinity])/4 - (21313*S[3, Infinity])/7168)*
    S[5, Infinity] - (32393*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/672 + 
     (211*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/2240 - 
     (235*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1153*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (25*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (205*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(7*S[-5, -1, Infinity] + 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 66*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-982720*S[-7, -1, Infinity] - 222007*S[5, 3, Infinity] - 
     142080*S[-5, -1, -1, -1, Infinity] - 55040*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, -1, 1, 1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/20160 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (731971*S[2, Infinity]^4)/392000 + 
   ((27*S[-1, Infinity]^2)/448 + (403*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-2*S[-1, Infinity]^3)/3 + (5*S[-1, Infinity]*S[2, Infinity])/7 + 
     (7249*S[3, Infinity])/896)*S[5, Infinity] - 
   20*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    ((47*S[-1, Infinity]^4)/3360 + (57*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/560 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (151*S[-5, -1, Infinity] - 
       140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   20*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-105120*S[-7, -1, Infinity] - 8761*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2 + 161280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, 1, -1, -1, 1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/20160 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (790211*S[2, Infinity]^4)/392000 + 
   ((27*S[-1, Infinity]^2)/448 + (403*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-2*S[-1, Infinity]^3)/3 + (5*S[-1, Infinity]*S[2, Infinity])/7 + 
     (7249*S[3, Infinity])/896)*S[5, Infinity] - 
   20*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    ((47*S[-1, Infinity]^4)/3360 + (57*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/560 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (151*S[-5, -1, Infinity] - 
       140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   20*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-105120*S[-7, -1, Infinity] - 8761*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2 + 161280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, 1, -1, -1, 1, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/20160 - (71*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (39111*S[2, Infinity]^4)/156800 + 
   ((-493*S[-1, Infinity]^2)/448 + (2379*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((337*S[-1, Infinity]^3)/192 - 
     (2533*S[-1, Infinity]*S[2, Infinity])/448 + (63199*S[3, Infinity])/7168)*
    S[5, Infinity] - (258053*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/1120 + 
     (11*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((61*S[-1, Infinity]^5)/1680 - (61*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (2421*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (293*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(20*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(16*S[-5, -1, Infinity] + 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-364480*S[-7, -1, Infinity] - 19259*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity] + 
     250880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, 1, -1, -1, 1, -1, -1, Infinity] -> (17*S[-1, Infinity]^8)/20160 - 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (16711*S[2, Infinity]^4)/156800 + ((-493*S[-1, Infinity]^2)/448 + 
     (1931*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((337*S[-1, Infinity]^3)/192 - (2533*S[-1, Infinity]*S[2, Infinity])/448 + 
     (84703*S[3, Infinity])/7168)*S[5, Infinity] - 
   (258053*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/1120 + 
     (11*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((61*S[-1, Infinity]^5)/1680 - (61*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (2421*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (293*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(20*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(16*S[-5, -1, Infinity] + 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-364480*S[-7, -1, Infinity] - 37179*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity] + 
     250880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, 1, -1, -1, -1, 1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/20160 - 
   (1031*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (119681*S[2, Infinity]^4)/196000 + 
   ((-989*S[-1, Infinity]^2)/896 + (1131*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((215*S[-1, Infinity]^3)/96 - 
     (3039*S[-1, Infinity]*S[2, Infinity])/224 - (47753*S[3, Infinity])/7168)*
    S[5, Infinity] - (93881*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (187*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/336 - (59*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((89*S[-1, Infinity]^5)/1120 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (21423*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (583*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 + (79*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-50*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1531840*S[-7, -1, Infinity] - 176191*S[5, 3, Infinity] - 
     111360*S[-5, -1, -1, -1, Infinity] - 139520*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, -1, -1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/20160 - (1031*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 - (75433*S[2, Infinity]^4)/588000 + 
   ((-989*S[-1, Infinity]^2)/896 + (683*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((215*S[-1, Infinity]^3)/96 - 
     (3039*S[-1, Infinity]*S[2, Infinity])/224 + (2423*S[3, Infinity])/7168)*
    S[5, Infinity] - (93881*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (187*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/336 - (59*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((89*S[-1, Infinity]^5)/1120 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (21423*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (583*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 + (79*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-50*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1531840*S[-7, -1, Infinity] - 165439*S[5, 3, Infinity] - 
     111360*S[-5, -1, -1, -1, Infinity] - 139520*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, -1, -1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/20160 - (43*S[-1, Infinity]^2*S[2, Infinity]^3)/
    42 + (3167051*S[2, Infinity]^4)/2352000 + 
   ((-1349*S[-1, Infinity]^2)/896 + (1229*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((337*S[-1, Infinity]^3)/192 - 
     (3911*S[-1, Infinity]*S[2, Infinity])/448 - (2309*S[3, Infinity])/3584)*
    S[5, Infinity] - (12071*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/210 + 
     (127*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((101*S[-1, Infinity]^5)/1120 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (34*S[-1, Infinity]*S[2, Infinity]^2)/7 - 
     (127*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 + 
     (331*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(205*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-640320*S[-7, -1, Infinity] - 58549*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] - 81280*S[-5, -1, 1, 1, Infinity] + 
     412160*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, 1, -1, -1, -1, -1, -1, Infinity] -> (-13*S[-1, Infinity]^8)/20160 - 
   (43*S[-1, Infinity]^2*S[2, Infinity]^3)/42 + (5573707*S[2, Infinity]^4)/
    2352000 + ((-1349*S[-1, Infinity]^2)/896 + (3917*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((337*S[-1, Infinity]^3)/192 - 
     (3911*S[-1, Infinity]*S[2, Infinity])/448 - (34565*S[3, Infinity])/3584)*
    S[5, Infinity] - (12071*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/210 + 
     (127*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((101*S[-1, Infinity]^5)/1120 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (34*S[-1, Infinity]*S[2, Infinity]^2)/7 - 
     (127*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 + 
     (331*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(205*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-640320*S[-7, -1, Infinity] - 97973*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] - 81280*S[-5, -1, 1, 1, Infinity] + 
     412160*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, 1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/4480 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (543387*S[2, Infinity]^4)/
    784000 + ((-325*S[-1, Infinity]^2)/448 - (121*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((125*S[-1, Infinity]^3)/192 + 
     (1191*S[-1, Infinity]*S[2, Infinity])/448 + (3275*S[3, Infinity])/3584)*
    S[5, Infinity] - (123*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/6720 + 
     (41*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/336 - (9*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (93*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     (185*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(2*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-60800*S[-7, -1, Infinity] + 7211*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, 1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/4480 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (950171*S[2, Infinity]^4)/
    784000 + ((-325*S[-1, Infinity]^2)/448 - (121*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((125*S[-1, Infinity]^3)/192 + 
     (1191*S[-1, Infinity]*S[2, Infinity])/448 - (11061*S[3, Infinity])/3584)*
    S[5, Infinity] - (123*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/6720 + 
     (41*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/336 - (9*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (93*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     (185*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(2*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-60800*S[-7, -1, Infinity] + 43*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, 1, 1, 1, -1, 1, Infinity] -> (13*S[-1, Infinity]^8)/20160 - 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (660231*S[2, Infinity]^4)/784000 + 
   ((-559*S[-1, Infinity]^2)/896 + (117*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((125*S[-1, Infinity]^3)/192 + 
     (23*S[-1, Infinity]*S[2, Infinity])/14 - (26357*S[3, Infinity])/7168)*
    S[5, Infinity] - (2627*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/1120 - 
     (37*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((57*S[-1, Infinity]^5)/2240 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (4433*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (129*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + (157*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-200000*S[-7, -1, Infinity] - 29489*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] - 43520*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, 1, 1, 1, -1, -1, Infinity] -> (13*S[-1, Infinity]^8)/20160 - 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (301831*S[2, Infinity]^4)/784000 + 
   ((-559*S[-1, Infinity]^2)/896 - (331*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((125*S[-1, Infinity]^3)/192 + 
     (23*S[-1, Infinity]*S[2, Infinity])/14 + (9483*S[3, Infinity])/7168)*
    S[5, Infinity] - (2627*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/1120 - 
     (37*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((57*S[-1, Infinity]^5)/2240 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (4433*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (129*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + (157*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-200000*S[-7, -1, Infinity] + 6351*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] - 43520*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, 1, 1, -1, 1, 1, Infinity] -> (11*S[-1, Infinity]^8)/40320 - 
   (349*S[-1, Infinity]^2*S[2, Infinity]^3)/672 + 
   (2399*S[2, Infinity]^4)/48000 + ((-431*S[-1, Infinity]^2)/448 + 
     (829*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((1117*S[-1, Infinity]^3)/192 - (2227*S[-1, Infinity]*S[2, Infinity])/
      448 - (9461*S[3, Infinity])/1024)*S[5, Infinity] - 
   (28929*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/320 + (2*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*((17*S[-1, Infinity]^5)/480 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (18107*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (79*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (3*S[-1, Infinity]^2*(-51*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (6*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-201920*S[-7, -1, Infinity] - 41789*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, 1, -1, 1, 1, -1, 1, -1, Infinity] -> (11*S[-1, Infinity]^8)/40320 - 
   (349*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (104189*S[2, Infinity]^4)/112000 + 
   ((-431*S[-1, Infinity]^2)/448 + (573*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((1117*S[-1, Infinity]^3)/192 - 
     (2227*S[-1, Infinity]*S[2, Infinity])/448 + (267*S[3, Infinity])/1024)*
    S[5, Infinity] - (28929*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/320 + (2*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*((17*S[-1, Infinity]^5)/480 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (18107*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (79*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (3*S[-1, Infinity]^2*(-51*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (6*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-201920*S[-7, -1, Infinity] - 34109*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, 1, -1, 1, 1, -1, -1, 1, Infinity] -> (-47*S[-1, Infinity]^8)/20160 - 
   (751*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (3536809*S[2, Infinity]^4)/2352000 + 
   ((-1495*S[-1, Infinity]^2)/896 + (4895*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1055*S[-1, Infinity]^3)/192 - 
     (79*S[-1, Infinity]*S[2, Infinity])/224 - (35143*S[3, Infinity])/3584)*
    S[5, Infinity] - (20987*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/7 + (101*S[-1, 1, 1, 1, Infinity])/
      56) + S[3, Infinity]*((457*S[-1, Infinity]^5)/6720 - 
     (129*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (3827*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(227*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(-8*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-9*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      36*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-610240*S[-7, -1, Infinity] - 143651*S[5, 3, Infinity] - 
     87040*S[-5, -1, -1, -1, Infinity] - 60800*S[-5, -1, 1, 1, Infinity] + 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, 1, 1, -1, -1, -1, Infinity] -> (-47*S[-1, Infinity]^8)/20160 - 
   (751*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (722773*S[2, Infinity]^4)/470400 + 
   ((-1495*S[-1, Infinity]^2)/896 + (3999*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1055*S[-1, Infinity]^3)/192 - 
     (79*S[-1, Infinity]*S[2, Infinity])/224 - (38727*S[3, Infinity])/3584)*
    S[5, Infinity] - (20987*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/7 + (101*S[-1, 1, 1, 1, Infinity])/
      56) + S[3, Infinity]*((457*S[-1, Infinity]^5)/6720 - 
     (129*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (3827*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(227*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(-8*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-9*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      36*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-122048*S[-7, -1, Infinity] - 22279*S[5, 3, Infinity] - 
     17408*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] + 
     46592*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-1, 1, -1, 1, -1, 1, 1, 1, Infinity] -> (-17*S[-1, Infinity]^8)/20160 - 
   (69*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2179*S[2, Infinity]^4)/39200 + ((-695*S[-1, Infinity]^2)/1792 - 
     (2367*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-59*S[-1, Infinity]^3)/384 - (191*S[-1, Infinity]*S[2, Infinity])/896 + 
     (7747*S[3, Infinity])/7168)*S[5, Infinity] + 
   (32715*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-25*S[-1, Infinity]^4)/672 + 
     (29*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/560 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1853*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (87*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (33*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-576*S[-7, -1, Infinity] + 6831*S[5, 3, Infinity] + 
     6912*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, -1, 1, -1, 1, 1, -1, Infinity] -> (-17*S[-1, Infinity]^8)/20160 - 
   (69*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (77993*S[2, Infinity]^4)/117600 + ((-695*S[-1, Infinity]^2)/1792 + 
     (321*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-59*S[-1, Infinity]^3)/384 - (191*S[-1, Infinity]*S[2, Infinity])/896 - 
     (24509*S[3, Infinity])/7168)*S[5, Infinity] + 
   (32715*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-25*S[-1, Infinity]^4)/672 + 
     (29*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/560 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1853*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (87*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (33*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-576*S[-7, -1, Infinity] - 337*S[5, 3, Infinity] + 
     6912*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, -1, 1, -1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/40320 - 
   (S[-1, Infinity]^6*S[2, Infinity])/1440 + 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/64 - 
   (123*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (601*S[2, Infinity]^4)/4480 + (S[-1, Infinity]^5/960 - 
     (S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/64)*S[3, Infinity] + 
   (S[-1, Infinity]^2/256 - S[2, Infinity]/256)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/128 - (3*S[-1, Infinity]*S[2, Infinity])/128 + 
     (3*S[3, Infinity])/512)*S[5, Infinity] - 
   (9*S[-1, Infinity]*S[7, Infinity])/512, 
 S[-1, 1, -1, 1, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/40320 - 
   (S[-1, Infinity]^6*S[2, Infinity])/1440 + 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/64 - 
   (123*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (247*S[2, Infinity]^4)/4480 + (S[-1, Infinity]^5/960 - 
     (S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/64)*S[3, Infinity] + 
   (S[-1, Infinity]^2/256 - S[2, Infinity]/256)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/128 - (3*S[-1, Infinity]*S[2, Infinity])/128 + 
     (3*S[3, Infinity])/512)*S[5, Infinity] - 
   (9*S[-1, Infinity]*S[7, Infinity])/512, 
 S[-1, 1, -1, 1, -1, -1, 1, 1, Infinity] -> (23*S[-1, Infinity]^8)/20160 + 
   (761*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (555757*S[2, Infinity]^4)/392000 + 
   ((3529*S[-1, Infinity]^2)/1792 - (8861*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-805*S[-1, Infinity]^3)/128 + 
     (225*S[-1, Infinity]*S[2, Infinity])/896 + (40895*S[3, Infinity])/3584)*
    S[5, Infinity] + (192679*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((71*S[-1, Infinity]^4)/560 - 
     (537*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-187*S[-1, Infinity]^5)/3360 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (5787*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (243*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(137*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(71*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (744000*S[-7, -1, Infinity] + 164723*S[5, 3, Infinity] + 
     103680*S[-5, -1, -1, -1, Infinity] + 71040*S[-5, -1, 1, 1, Infinity] - 
     268800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, 1, -1, -1, 1, -1, Infinity] -> (23*S[-1, Infinity]^8)/20160 + 
   (761*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (507821*S[2, Infinity]^4)/392000 + 
   ((3529*S[-1, Infinity]^2)/1792 - (9757*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-805*S[-1, Infinity]^3)/128 + 
     (225*S[-1, Infinity]*S[2, Infinity])/896 + (42687*S[3, Infinity])/3584)*
    S[5, Infinity] + (192679*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((71*S[-1, Infinity]^4)/560 - 
     (537*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-187*S[-1, Infinity]^5)/3360 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (5787*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (243*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(137*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(71*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(248000*S[-7, -1, Infinity] + 44753*S[5, 3, Infinity] + 
      34560*S[-5, -1, -1, -1, Infinity] + 23680*S[-5, -1, 1, 1, Infinity] - 
      89600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, 1, -1, 1, -1, -1, -1, 1, Infinity] -> (-59*S[-1, Infinity]^8)/40320 + 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (102681*S[2, Infinity]^4)/784000 + 
   ((2143*S[-1, Infinity]^2)/1792 - (17989*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-991*S[-1, Infinity]^3)/128 + 
     (2451*S[-1, Infinity]*S[2, Infinity])/896 + (100893*S[3, Infinity])/
      7168)*S[5, Infinity] + (173637*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/2240 - 
     (69*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-143*S[-1, Infinity]^5)/6720 + 
     (143*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (20103*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (297*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(65*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(57*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*(614720*S[-7, -1, Infinity] + 138933*S[5, 3, Infinity] + 
      113920*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
      143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, 1, -1, 1, -1, -1, -1, -1, Infinity] -> (-59*S[-1, Infinity]^8)/40320 + 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1006231*S[2, Infinity]^4)/784000 + 
   ((2143*S[-1, Infinity]^2)/1792 - (9925*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-991*S[-1, Infinity]^3)/128 + 
     (2451*S[-1, Infinity]*S[2, Infinity])/896 + (4125*S[3, Infinity])/7168)*
    S[5, Infinity] + (173637*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/2240 - 
     (69*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-143*S[-1, Infinity]^5)/6720 + 
     (143*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (20103*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (297*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(65*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(57*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*(614720*S[-7, -1, Infinity] + 106677*S[5, 3, Infinity] + 
      113920*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
      143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, 1, -1, -1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/40320 + 
   (251*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (847409*S[2, Infinity]^4)/392000 + 
   ((-477*S[-1, Infinity]^2)/1792 - (3853*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3 + 
     (75*S[-1, Infinity]*S[2, Infinity])/28 - (32003*S[3, Infinity])/7168)*
    S[5, Infinity] + 15*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((139*S[-1, Infinity]^4)/6720 - 
     (13*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/2240 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (9381*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (215*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-313*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (981440*S[-7, -1, Infinity] + 147377*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] - 
     1218560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, -1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/40320 + 
   (251*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (793649*S[2, Infinity]^4)/392000 + 
   ((-477*S[-1, Infinity]^2)/1792 - (3853*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3 + 
     (75*S[-1, Infinity]*S[2, Infinity])/28 - (24835*S[3, Infinity])/7168)*
    S[5, Infinity] + 15*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((139*S[-1, Infinity]^4)/6720 - 
     (13*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/2240 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (9381*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (215*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-313*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (981440*S[-7, -1, Infinity] + 111537*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] - 
     1218560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, -1, 1, 1, -1, 1, Infinity] -> (17*S[-1, Infinity]^8)/20160 + 
   (317*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (183413*S[2, Infinity]^4)/470400 + 
   ((1745*S[-1, Infinity]^2)/1792 - (6739*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-59*S[-1, Infinity]^3)/96 + 
     (1143*S[-1, Infinity]*S[2, Infinity])/112 - (22249*S[3, Infinity])/7168)*
    S[5, Infinity] + (22569*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/672 - 
     (37*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/1680 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (3823*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (227*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(37*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-685*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (364480*S[-7, -1, Infinity] + 19259*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] + 28160*S[-5, -1, 1, 1, Infinity] - 
     250880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, -1, -1, 1, 1, -1, -1, Infinity] -> (17*S[-1, Infinity]^8)/20160 + 
   (317*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (44711*S[2, Infinity]^4)/156800 + ((1745*S[-1, Infinity]^2)/1792 - 
     (3155*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-59*S[-1, Infinity]^3)/96 + (1143*S[-1, Infinity]*S[2, Infinity])/112 - 
     (76009*S[3, Infinity])/7168)*S[5, Infinity] + 
   (22569*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/672 - 
     (37*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/1680 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (3823*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (227*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(37*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-685*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (364480*S[-7, -1, Infinity] + 37179*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] + 28160*S[-5, -1, 1, 1, Infinity] - 
     250880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, -1, -1, 1, -1, 1, 1, Infinity] -> (19*S[-1, Infinity]^8)/40320 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (8209*S[2, Infinity]^4)/
    42000 + ((3307*S[-1, Infinity]^2)/1792 - (1759*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-185*S[-1, Infinity]^3)/32 + 
     (3387*S[-1, Infinity]*S[2, Infinity])/224 + (2175*S[3, Infinity])/1024)*
    S[5, Infinity] + (247335*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/960 - 
     (6*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/192 + (95*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (35081*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     12*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/1440 - 
     (3*(55*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (3*S[-1, Infinity]^2*(101*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(127040*S[-7, -1, Infinity] + 15807*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
      51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/5120, 
 S[-1, 1, -1, -1, 1, -1, 1, -1, Infinity] -> (19*S[-1, Infinity]^8)/40320 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (577*S[2, Infinity]^4)/560 + 
   ((3307*S[-1, Infinity]^2)/1792 - (2143*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-185*S[-1, Infinity]^3)/32 + 
     (3387*S[-1, Infinity]*S[2, Infinity])/224 + (6783*S[3, Infinity])/1024)*
    S[5, Infinity] + (247335*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/960 - 
     (6*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/192 + (95*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (35081*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     12*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/1440 - 
     (3*(55*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (3*S[-1, Infinity]^2*(101*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(25408*S[-7, -1, Infinity] + 4083*S[5, 3, Infinity] + 
      2816*S[-5, -1, -1, -1, Infinity] + 2048*S[-5, -1, 1, 1, Infinity] - 
      10240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/1024, 
 S[-1, 1, -1, -1, 1, -1, -1, 1, Infinity] -> (-43*S[-1, Infinity]^8)/20160 + 
   (799*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1082099*S[2, Infinity]^4)/784000 + 
   ((-239*S[-1, Infinity]^2)/1792 - (18391*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-123*S[-1, Infinity]^3)/32 + 
     (3057*S[-1, Infinity]*S[2, Infinity])/224 + (55359*S[3, Infinity])/7168)*
    S[5, Infinity] + (232503*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (207*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/3360 - 
     (249*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-109*S[-1, Infinity]^5)/3360 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (22583*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (267*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - (603*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(658880*S[-7, -1, Infinity] + 131907*S[5, 3, Infinity] + 
      103680*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
      322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, 1, -1, -1, 1, -1, -1, -1, Infinity] -> (-43*S[-1, Infinity]^8)/20160 + 
   (799*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (8333*S[2, Infinity]^4)/784000 + ((-239*S[-1, Infinity]^2)/1792 - 
     (10327*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-123*S[-1, Infinity]^3)/32 + (3057*S[-1, Infinity]*S[2, Infinity])/224 - 
     (41409*S[3, Infinity])/7168)*S[5, Infinity] + 
   (232503*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (207*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/3360 - 
     (249*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-109*S[-1, Infinity]^5)/3360 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (22583*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (267*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - (603*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(658880*S[-7, -1, Infinity] + 99651*S[5, 3, Infinity] + 
      103680*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
      322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, 1, -1, -1, -1, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/2880 + 
   (1307*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (2422667*S[2, Infinity]^4)/2352000 + 
   ((-1181*S[-1, Infinity]^2)/448 - (2587*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((311*S[-1, Infinity]^3)/128 + 
     (20133*S[-1, Infinity]*S[2, Infinity])/896 + (13795*S[3, Infinity])/
      3584)*S[5, Infinity] + (5127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/1680 + 
     (59*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/2240 + 
     (85*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1207*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (73*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-115*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-50*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (436160*S[-7, -1, Infinity] + 97967*S[5, 3, Infinity] + 
     97280*S[-5, -1, -1, -1, Infinity] - 30080*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, -1, -1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/2880 + 
   (1307*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (6568459*S[2, Infinity]^4)/2352000 + 
   ((-1181*S[-1, Infinity]^2)/448 - (2139*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((311*S[-1, Infinity]^3)/128 + 
     (20133*S[-1, Infinity]*S[2, Infinity])/896 - (32797*S[3, Infinity])/
      3584)*S[5, Infinity] + (5127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/1680 + 
     (59*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/2240 + 
     (85*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1207*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (73*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-115*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-50*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (436160*S[-7, -1, Infinity] + 90799*S[5, 3, Infinity] + 
     97280*S[-5, -1, -1, -1, Infinity] - 30080*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, -1, -1, 1, -1, 1, Infinity] -> (7*S[-1, Infinity]^8)/5760 + 
   (11*S[-1, Infinity]^4*S[2, Infinity]^2)/192 + 
   (1129*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (76429*S[2, Infinity]^4)/48000 + ((-1471*S[-1, Infinity]^2)/896 + 
     (241*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((621*S[-1, Infinity]^3)/128 + (18261*S[-1, Infinity]*S[2, Infinity])/
      896 - (7281*S[3, Infinity])/512)*S[5, Infinity] - 
   (254721*S[-1, Infinity]*S[7, Infinity])/7168 - (27*S[5, 3, Infinity])/10 + 
   S[3, Infinity]*(S[-1, Infinity]^5/240 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (3781*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) - 
   (3*S[-1, Infinity]^2*(27*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, -1, -1, -1, 1, -1, -1, Infinity] -> (7*S[-1, Infinity]^8)/5760 + 
   (11*S[-1, Infinity]^4*S[2, Infinity]^2)/192 + 
   (1129*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (78979*S[2, Infinity]^4)/48000 + ((-1471*S[-1, Infinity]^2)/896 - 
     (527*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((621*S[-1, Infinity]^3)/128 + (18261*S[-1, Infinity]*S[2, Infinity])/
      896 + (6543*S[3, Infinity])/512)*S[5, Infinity] - 
   (254721*S[-1, Infinity]*S[7, Infinity])/7168 + (27*S[5, 3, Infinity])/10 + 
   S[3, Infinity]*(S[-1, Infinity]^5/240 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (3781*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) - 
   (3*S[-1, Infinity]^2*(27*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, -1, -1, -1, -1, 1, 1, Infinity] -> (47*S[-1, Infinity]^8)/20160 + 
   (177*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (1720861*S[2, Infinity]^4)/784000 + 
   ((787*S[-1, Infinity]^2)/448 + (31*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((311*S[-1, Infinity]^3)/128 + (5157*S[-1, Infinity]*S[2, Infinity])/896 + 
     (11619*S[3, Infinity])/3584)*S[5, Infinity] - 
   (98145*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((107*S[-1, Infinity]^4)/840 - 
     (261*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-641*S[-1, Infinity]^5)/6720 + 
     (1019*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4463*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (753*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(68*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(61*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (175680*S[-7, -1, Infinity] - 479*S[5, 3, Infinity] - 
     24960*S[-5, -1, -1, -1, Infinity] + 58560*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 1, -1, -1, -1, -1, 1, -1, Infinity] -> (47*S[-1, Infinity]^8)/20160 + 
   (177*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (3907101*S[2, Infinity]^4)/784000 + 
   ((787*S[-1, Infinity]^2)/448 - (53*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((311*S[-1, Infinity]^3)/128 + (5157*S[-1, Infinity]*S[2, Infinity])/896 + 
     (103011*S[3, Infinity])/3584)*S[5, Infinity] - 
   (98145*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((107*S[-1, Infinity]^4)/840 - 
     (261*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-641*S[-1, Infinity]^5)/6720 + 
     (1019*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4463*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (753*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(68*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(61*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(58560*S[-7, -1, Infinity] + 11787*S[5, 3, Infinity] - 
      8320*S[-5, -1, -1, -1, Infinity] + 19520*S[-5, -1, 1, 1, Infinity] - 
      44800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/8960, 
 S[-1, 1, -1, -1, -1, -1, -1, 1, Infinity] -> (-11*S[-1, Infinity]^8)/40320 + 
   (927*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (70533*S[2, Infinity]^4)/784000 + ((-739*S[-1, Infinity]^2)/896 - 
     (2711*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((249*S[-1, Infinity]^3)/128 + (11493*S[-1, Infinity]*S[2, Infinity])/
      896 + (11427*S[3, Infinity])/3584)*S[5, Infinity] + 
   (20847*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]*(S[-1, Infinity]^6/288 - (183*S[-5, -1, Infinity])/28) - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/1344 - 
     (3*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/3360 + (211*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (8467*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (30*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(184000*S[-7, -1, Infinity] + 14657*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
      71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, 1, -1, -1, -1, -1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/40320 + (927*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (391019*S[2, Infinity]^4)/784000 + 
   ((-739*S[-1, Infinity]^2)/896 - (2711*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((249*S[-1, Infinity]^3)/128 + 
     (11493*S[-1, Infinity]*S[2, Infinity])/896 - (10077*S[3, Infinity])/
      3584)*S[5, Infinity] + (20847*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]*(S[-1, Infinity]^6/288 - (183*S[-5, -1, Infinity])/28) - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/1344 - 
     (3*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/3360 + (211*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (8467*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (30*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(184000*S[-7, -1, Infinity] + 25409*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
      71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, -1, 1, 1, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, 1, 1, 1, -1, Infinity] -> (-24*S[2, Infinity]^4)/25 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, -1, 1, 1, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/288 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (97133*S[2, Infinity]^4)/
    56000 + ((89*S[-1, Infinity]^2)/128 + (41*S[2, Infinity])/128)*
    S[3, Infinity]^2 + (-(S[-1, Infinity]*S[2, Infinity])/32 + 
     (477*S[3, Infinity])/512)*S[5, Infinity] - 
   (1683*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 - S[-1, 1, 1, 1, Infinity]/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (8000*S[-7, -1, Infinity] - 183*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2 - 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -1, 1, 1, 1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (14317*S[2, Infinity]^4)/56000 + ((89*S[-1, Infinity]^2)/128 + 
     (41*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity])/32 - (1571*S[3, Infinity])/512)*
    S[5, Infinity] - (1683*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 - S[-1, 1, 1, 1, Infinity]/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (8000*S[-7, -1, Infinity] - 1207*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2 - 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -1, 1, 1, 1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/2016 - (717*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (10651*S[2, Infinity]^4)/28000 + ((27*S[-1, Infinity]^2)/128 + 
     (115*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 - (207*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2127*S[3, Infinity])/512)*S[5, Infinity] - 
   (2627*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/80 - S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/320 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (139*S[-1, Infinity]*S[2, Infinity]^2)/320 + S[-1, 1, 1, 1, 1, Infinity]/
      4) - (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-2*S[-5, -1, Infinity] - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (6720*S[-7, -1, Infinity] - 1727*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-1, -1, 1, 1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/2016 - 
   (717*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (6373*S[2, Infinity]^4)/28000 + ((27*S[-1, Infinity]^2)/128 + 
     (179*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 - (207*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2383*S[3, Infinity])/512)*S[5, Infinity] - 
   (2627*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/80 - S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/320 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (139*S[-1, Infinity]*S[2, Infinity]^2)/320 + S[-1, 1, 1, 1, 1, Infinity]/
      4) - (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-2*S[-5, -1, Infinity] - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (6720*S[-7, -1, Infinity] - 3519*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-1, -1, 1, 1, 1, -1, -1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/504 - 
   (5*S[-1, Infinity]^4*S[2, Infinity]^2)/24 - 
   (177*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + (4*S[2, Infinity]^4)/7 - 
   (25*S[-1, Infinity]^2*S[3, Infinity]^2)/16 - 
   (235*S[-1, Infinity]*S[2, Infinity]*S[5, Infinity])/64 + 
   (8415*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[3, Infinity]*
    ((35*S[-1, Infinity]^5)/192 - (35*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     2*S[-1, Infinity]*S[2, Infinity]^2 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     7*S[-1, 1, 1, 1, 1, Infinity]) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (5*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4, 
 S[-1, -1, 1, 1, 1, -1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/504 - 
   (5*S[-1, Infinity]^4*S[2, Infinity]^2)/24 - 
   (177*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (226*S[2, Infinity]^4)/175 - (25*S[-1, Infinity]^2*S[3, Infinity]^2)/16 + 
   ((-235*S[-1, Infinity]*S[2, Infinity])/64 - 8*S[3, Infinity])*
    S[5, Infinity] + (8415*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[3, Infinity]*
    ((35*S[-1, Infinity]^5)/192 - (35*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     2*S[-1, Infinity]*S[2, Infinity]^2 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     7*S[-1, 1, 1, 1, 1, Infinity]) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (5*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4, 
 S[-1, -1, 1, 1, -1, 1, 1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/4032 + 
   (383*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (19013*S[2, Infinity]^4)/147000 + ((-117*S[-1, Infinity]^2)/896 - 
     (5389*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-239*S[-1, Infinity]^3)/64 + (1159*S[-1, Infinity]*S[2, Infinity])/112 + 
     (11937*S[3, Infinity])/3584)*S[5, Infinity] + 
   (123437*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/1120 - 
     (17*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/6720 + 
     (9*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (8349*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (87*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - (255*S[-5, -1, Infinity])/
      28 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (706240*S[-7, -1, Infinity] + 113377*S[5, 3, Infinity] + 
     108800*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, 1, -1, 1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/4032 + (383*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (2932*S[2, Infinity]^4)/18375 + 
   ((-117*S[-1, Infinity]^2)/896 - (4941*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-239*S[-1, Infinity]^3)/64 + 
     (1159*S[-1, Infinity]*S[2, Infinity])/112 + (8353*S[3, Infinity])/3584)*
    S[5, Infinity] + (123437*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/1120 - 
     (17*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/6720 + 
     (9*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (8349*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (87*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - (255*S[-5, -1, Infinity])/
      28 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (706240*S[-7, -1, Infinity] + 134881*S[5, 3, Infinity] + 
     108800*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, 1, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/4032 + (869*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (2965609*S[2, Infinity]^4)/2352000 + 
   ((383*S[-1, Infinity]^2)/448 - (2269*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-343*S[-1, Infinity]^3)/96 + 
     (3153*S[-1, Infinity]*S[2, Infinity])/448 + (30509*S[3, Infinity])/3584)*
    S[5, Infinity] + (51375*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/56 - (19*S[-1, 1, 1, 1, Infinity])/
      28) + S[3, Infinity]*((-143*S[-1, Infinity]^5)/2240 + 
     (331*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1299*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (95*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (-309*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-207*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 45*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (610240*S[-7, -1, Infinity] + 143651*S[5, 3, Infinity] + 
     87040*S[-5, -1, -1, -1, Infinity] + 60800*S[-5, -1, 1, 1, Infinity] - 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, 1, 1, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/4032 + 
   (869*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (854933*S[2, Infinity]^4)/470400 + 
   ((383*S[-1, Infinity]^2)/448 - (2269*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-343*S[-1, Infinity]^3)/96 + 
     (3153*S[-1, Infinity]*S[2, Infinity])/448 + (37677*S[3, Infinity])/3584)*
    S[5, Infinity] + (51375*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/56 - (19*S[-1, 1, 1, 1, Infinity])/
      28) + S[3, Infinity]*((-143*S[-1, Infinity]^5)/2240 + 
     (331*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1299*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (95*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (-309*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-207*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 45*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (122048*S[-7, -1, Infinity] + 22279*S[5, 3, Infinity] + 
     17408*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] - 
     46592*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-1, -1, 1, 1, -1, -1, 1, 1, Infinity] -> (37*S[-1, Infinity]^8)/4032 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (1193723*S[2, Infinity]^4)/
    392000 + ((191*S[-1, Infinity]^2)/112 - (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-593*S[-1, Infinity]^3)/192 + 
     (6953*S[-1, Infinity]*S[2, Infinity])/448 + (17763*S[3, Infinity])/1792)*
    S[5, Infinity] + (6441*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((839*S[-1, Infinity]^4)/3360 - 
     (17*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-377*S[-1, Infinity]^5)/1680 + 
     (93*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (57*S[-1, Infinity]*S[2, Infinity]^2)/7 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (181*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-173*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-73*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (350720*S[-7, -1, Infinity] + 94811*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 - 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, 1, -1, -1, 1, -1, Infinity] -> 
  (37*S[-1, Infinity]^8)/4032 + (19*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (1180283*S[2, Infinity]^4)/392000 + 
   ((191*S[-1, Infinity]^2)/112 - (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-593*S[-1, Infinity]^3)/192 + 
     (6953*S[-1, Infinity]*S[2, Infinity])/448 + (17763*S[3, Infinity])/1792)*
    S[5, Infinity] + (6441*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((839*S[-1, Infinity]^4)/3360 - 
     (17*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-377*S[-1, Infinity]^5)/1680 + 
     (93*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (57*S[-1, Infinity]*S[2, Infinity]^2)/7 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (181*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-173*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-73*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (350720*S[-7, -1, Infinity] + 58971*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 - 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, 1, -1, -1, -1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/4032 + (107*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (16019*S[2, Infinity]^4)/67200 + 
   ((519*S[-1, Infinity]^2)/896 - (991*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-109*S[-1, Infinity]^3)/24 + 
     (995*S[-1, Infinity]*S[2, Infinity])/56 + (81*S[3, Infinity])/128)*
    S[5, Infinity] + (84545*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/16 - S[-1, 1, 1, 1, Infinity]/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (2839*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-25*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-293*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] - 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (12224*S[-7, -1, Infinity] + 1757*S[5, 3, Infinity] + 
     2176*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] - 
     6400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[-1, -1, 1, 1, -1, -1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/4032 + 
   (107*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (33969*S[2, Infinity]^4)/22400 + ((519*S[-1, Infinity]^2)/896 - 
     (1119*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-109*S[-1, Infinity]^3)/24 + (995*S[-1, Infinity]*S[2, Infinity])/56 + 
     (1233*S[3, Infinity])/128)*S[5, Infinity] + 
   (84545*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/16 - S[-1, 1, 1, 1, Infinity]/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (2839*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-25*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-293*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] - 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (12224*S[-7, -1, Infinity] + 2781*S[5, 3, Infinity] + 
     2176*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] - 
     6400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[-1, -1, 1, -1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/2520 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/42 - (655181*S[2, Infinity]^4)/
    1176000 + ((145*S[-1, Infinity]^2)/896 - (1447*S[2, Infinity])/896)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/128 + 
     (6513*S[-1, Infinity]*S[2, Infinity])/896 + (3833*S[3, Infinity])/3584)*
    S[5, Infinity] - (5161*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/56 - (19*S[-1, 1, 1, 1, Infinity])/
      70) + (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/672 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (5987*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (125*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-111*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (294720*S[-7, -1, Infinity] + 46693*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, 1, -1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/2520 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/42 - (850957*S[2, Infinity]^4)/
    1176000 + ((145*S[-1, Infinity]^2)/896 - (2343*S[2, Infinity])/896)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/128 + 
     (6513*S[-1, Infinity]*S[2, Infinity])/896 + (19961*S[3, Infinity])/3584)*
    S[5, Infinity] - (5161*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/56 - (19*S[-1, 1, 1, 1, Infinity])/
      70) + (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/672 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (5987*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (125*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-111*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (294720*S[-7, -1, Infinity] + 53861*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, 1, -1, 1, 1, -1, 1, Infinity] -> (31*S[-1, Infinity]^8)/10080 + 
   (1229*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (70927*S[2, Infinity]^4)/58800 + ((21*S[-1, Infinity]^2)/32 - 
     (897*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-617*S[-1, Infinity]^3)/384 + (1313*S[-1, Infinity]*S[2, Infinity])/
      128 + (23259*S[3, Infinity])/7168)*S[5, Infinity] + 
   (106031*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/3360 + 
     (25*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-331*S[-1, Infinity]^5)/3360 + 
     (289*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (3041*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-121*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 45*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (196544*S[-7, -1, Infinity] + 20747*S[5, 3, Infinity] + 
     28416*S[-5, -1, -1, -1, Infinity] + 11008*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 57344*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -1, 1, -1, 1, 1, -1, -1, Infinity] -> 
  (31*S[-1, Infinity]^8)/10080 + (1229*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (63223*S[2, Infinity]^4)/294000 + 
   ((21*S[-1, Infinity]^2)/32 - (1121*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-617*S[-1, Infinity]^3)/384 + (1313*S[-1, Infinity]*S[2, Infinity])/
      128 + (62683*S[3, Infinity])/7168)*S[5, Infinity] + 
   (106031*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/3360 + 
     (25*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-331*S[-1, Infinity]^5)/3360 + 
     (289*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (3041*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-121*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 45*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (982720*S[-7, -1, Infinity] + 222007*S[5, 3, Infinity] + 
     142080*S[-5, -1, -1, -1, Infinity] + 55040*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, -1, 1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/10080 + (109*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (8571*S[2, Infinity]^4)/12250 + ((-141*S[-1, Infinity]^2)/448 - 
     (1277*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/128 + (4917*S[-1, Infinity]*S[2, Infinity])/896 + 
     (63347*S[3, Infinity])/7168)*S[5, Infinity] + 
   (119*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 - (27*S[-5, -1, Infinity])/7) - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/224 - 
     (33*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-181*S[-1, Infinity]^5)/6720 + (65*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (1335*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (415680*S[-7, -1, Infinity] + 116651*S[5, 3, Infinity] + 
     65280*S[-5, -1, -1, -1, Infinity] + 42240*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 1, -1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/10080 + 
   (109*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (4791*S[2, Infinity]^4)/12250 + ((-141*S[-1, Infinity]^2)/448 - 
     (829*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/128 + (4917*S[-1, Infinity]*S[2, Infinity])/896 + 
     (27507*S[3, Infinity])/7168)*S[5, Infinity] + 
   (119*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 - (27*S[-5, -1, Infinity])/7) - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/224 - 
     (33*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-181*S[-1, Infinity]^5)/6720 + (65*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (1335*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (3*(138560*S[-7, -1, Infinity] + 26937*S[5, 3, Infinity] + 
      21760*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] - 
      35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, -1, 1, -1, 1, -1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/1260 - 
   (661*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1903*S[2, Infinity]^4)/3500 + ((-1971*S[-1, Infinity]^2)/896 + 
     (259*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((249*S[-1, Infinity]^3)/128 + (2295*S[-1, Infinity]*S[2, Infinity])/896 - 
     (3735*S[3, Infinity])/256)*S[5, Infinity] - 
   (92049*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/80 - 
     (18*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (9*(3*S[5, 3, Infinity] + 5*S[-1, 1, 1, 1, Infinity]^2))/10 + 
   S[3, Infinity]*((161*S[-1, Infinity]^5)/960 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (703*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) - 
   (3*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, -1, 1, -1, 1, -1, -1, -1, Infinity] -> (-13*S[-1, Infinity]^8)/1260 - 
   (661*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (13761*S[2, Infinity]^4)/7000 + ((-1971*S[-1, Infinity]^2)/896 - 
     (125*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((249*S[-1, Infinity]^3)/128 + (2295*S[-1, Infinity]*S[2, Infinity])/896 + 
     (873*S[3, Infinity])/256)*S[5, Infinity] - 
   (92049*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/80 - 
     (18*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (9*(-3*S[5, 3, Infinity] + 5*S[-1, 1, 1, 1, Infinity]^2))/10 + 
   S[3, Infinity]*((161*S[-1, Infinity]^5)/960 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (703*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) - 
   (3*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, -1, 1, -1, -1, 1, 1, 1, Infinity] -> (-53*S[-1, Infinity]^8)/20160 - 
   (213*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1193723*S[2, Infinity]^4)/392000 + 
   ((-23*S[-1, Infinity]^2)/16 + (661*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((593*S[-1, Infinity]^3)/128 - (1303*S[-1, Infinity]*S[2, Infinity])/128 - 
     (11491*S[3, Infinity])/1792)*S[5, Infinity] - 
   (136197*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-349*S[-1, Infinity]^4)/3360 - 
     (67*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((773*S[-1, Infinity]^5)/6720 - 
     (225*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (539*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   5*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
      Infinity]) + S[2, Infinity]*((11*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (173*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-350720*S[-7, -1, Infinity] - 94811*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, -1, -1, 1, 1, -1, Infinity] -> 
  (-53*S[-1, Infinity]^8)/20160 - (213*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (803963*S[2, Infinity]^4)/392000 + 
   ((-23*S[-1, Infinity]^2)/16 + (661*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((593*S[-1, Infinity]^3)/128 - (1303*S[-1, Infinity]*S[2, Infinity])/128 - 
     (11491*S[3, Infinity])/1792)*S[5, Infinity] - 
   (136197*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-349*S[-1, Infinity]^4)/3360 - 
     (67*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((773*S[-1, Infinity]^5)/6720 - 
     (225*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (539*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   5*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
      Infinity]) + S[2, Infinity]*((11*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (173*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-350720*S[-7, -1, Infinity] - 58971*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, -1, -1, 1, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/20160 - (957*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (366867*S[2, Infinity]^4)/784000 + 
   ((-1705*S[-1, Infinity]^2)/896 + (7855*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((903*S[-1, Infinity]^3)/128 - 
     (12405*S[-1, Infinity]*S[2, Infinity])/896 - (40113*S[3, Infinity])/
      7168)*S[5, Infinity] - (16539*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/224 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((533*S[-1, Infinity]^5)/6720 - (631*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (32787*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (291*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-83*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*(658880*S[-7, -1, Infinity] + 99651*S[5, 3, Infinity] + 
      103680*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
      322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, -1, 1, -1, -1, 1, -1, -1, Infinity] -> (17*S[-1, Infinity]^8)/20160 - 
   (957*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1457299*S[2, Infinity]^4)/784000 + 
   ((-1705*S[-1, Infinity]^2)/896 + (8303*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((903*S[-1, Infinity]^3)/128 - 
     (12405*S[-1, Infinity]*S[2, Infinity])/896 - (72369*S[3, Infinity])/
      7168)*S[5, Infinity] - (16539*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/224 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((533*S[-1, Infinity]^5)/6720 - (631*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (32787*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (291*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-83*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*(658880*S[-7, -1, Infinity] + 131907*S[5, 3, Infinity] + 
      103680*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
      322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, -1, 1, -1, -1, -1, 1, 1, Infinity] -> (197*S[-1, Infinity]^8)/20160 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (54169*S[2, Infinity]^4)/1176000 + 
   ((51*S[-1, Infinity]^2)/128 + (8333*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((965*S[-1, Infinity]^3)/128 - 
     (1335*S[-1, Infinity]*S[2, Infinity])/128 - (32447*S[3, Infinity])/7168)*
    S[5, Infinity] - (254721*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/560 + (573*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((-401*S[-1, Infinity]^5)/3360 + 
     (205*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1997*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/360 + (153*S[-5, -1, Infinity])/
      14 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-614720*S[-7, -1, Infinity] - 106677*S[5, 3, Infinity] - 
      113920*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -1, -1, -1, 1, -1, Infinity] -> 
  (197*S[-1, Infinity]^8)/20160 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (272453*S[2, Infinity]^4)/392000 + 
   ((51*S[-1, Infinity]^2)/128 + (7437*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((965*S[-1, Infinity]^3)/128 - 
     (1335*S[-1, Infinity]*S[2, Infinity])/128 - (18111*S[3, Infinity])/7168)*
    S[5, Infinity] - (254721*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/560 + (573*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((-401*S[-1, Infinity]^5)/3360 + 
     (205*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1997*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/360 + (153*S[-5, -1, Infinity])/
      14 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-614720*S[-7, -1, Infinity] - 138933*S[5, 3, Infinity] - 
      113920*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -1, -1, -1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/20160 - (36*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 + (2438869*S[2, Infinity]^4)/784000 + 
   ((-117*S[-1, Infinity]^2)/56 + (48*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((903*S[-1, Infinity]^3)/128 - (4521*S[-1, Infinity]*S[2, Infinity])/896 - 
     (24971*S[3, Infinity])/1792)*S[5, Infinity] - 
   (213*S[-1, Infinity]*S[7, Infinity])/16 + S[2, Infinity]^2*
    ((-2*S[-1, Infinity]^4)/35 + (129*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((307*S[-1, Infinity]^5)/3360 - 
     (209*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (12849*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (129*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - 
     (3*(-71*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(-111*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-379200*S[-7, -1, Infinity] - 109079*S[5, 3, Infinity] - 
     59520*S[-5, -1, -1, -1, Infinity] - 41280*S[-5, -1, 1, 1, Infinity] + 
     134400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, 1, -1, -1, -1, -1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/20160 - (36*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 + (2223829*S[2, Infinity]^4)/784000 + 
   ((-117*S[-1, Infinity]^2)/56 + (48*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((903*S[-1, Infinity]^3)/128 - (4521*S[-1, Infinity]*S[2, Infinity])/896 - 
     (32139*S[3, Infinity])/1792)*S[5, Infinity] - 
   (213*S[-1, Infinity]*S[7, Infinity])/16 + S[2, Infinity]^2*
    ((-2*S[-1, Infinity]^4)/35 + (129*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((307*S[-1, Infinity]^5)/3360 - 
     (209*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (12849*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (129*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - 
     (3*(-71*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(-111*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (3*(126400*S[-7, -1, Infinity] + 24413*S[5, 3, Infinity] + 
      19840*S[-5, -1, -1, -1, Infinity] + 13760*S[-5, -1, 1, 1, Infinity] - 
      44800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/8960, 
 S[-1, -1, -1, 1, 1, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/13440 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + (1068993*S[2, Infinity]^4)/
    784000 + ((45*S[-1, Infinity]^2)/448 + (457*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-2*S[-1, Infinity]^3)/3 - 
     (S[-1, Infinity]*S[2, Infinity])/7 + (6889*S[3, Infinity])/3584)*
    S[5, Infinity] - 6*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-149*S[-1, Infinity]^4)/6720 + 
     (43*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    (S[-1, Infinity]^5/112 - (5*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (235*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-261760*S[-7, -1, Infinity] - 35351*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] + 
     322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, 1, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/13440 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + (1468609*S[2, Infinity]^4)/
    784000 + ((45*S[-1, Infinity]^2)/448 + (457*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-2*S[-1, Infinity]^3)/3 - 
     (S[-1, Infinity]*S[2, Infinity])/7 - (279*S[3, Infinity])/3584)*
    S[5, Infinity] - 6*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-149*S[-1, Infinity]^4)/6720 + 
     (43*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    (S[-1, Infinity]^5/112 - (5*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (235*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-261760*S[-7, -1, Infinity] - 28183*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] + 
     322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, 1, 1, 1, -1, 1, Infinity] -> (19*S[-1, Infinity]^8)/20160 - 
   (107*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1515411*S[2, Infinity]^4)/784000 + 
   ((-4*S[-1, Infinity]^2)/7 + (43*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-2*S[-1, Infinity]^3)/3 - (1821*S[-1, Infinity]*S[2, Infinity])/448 - 
     (28019*S[3, Infinity])/7168)*S[5, Infinity] - 
   (1825*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-281*S[-1, Infinity]^4)/3360 + 
     (289*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/1344 - 
     (221*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (8027*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (163*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 + (375*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-803520*S[-7, -1, Infinity] - 35639*S[5, 3, Infinity] + 
     19200*S[-5, -1, -1, -1, Infinity] - 99840*S[-5, -1, 1, 1, Infinity] + 
     609280*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, 1, 1, -1, -1, Infinity] -> (19*S[-1, Infinity]^8)/20160 - 
   (107*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (276243*S[2, Infinity]^4)/784000 + 
   ((-4*S[-1, Infinity]^2)/7 - (13*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-2*S[-1, Infinity]^3)/3 - (1821*S[-1, Infinity]*S[2, Infinity])/448 + 
     (54413*S[3, Infinity])/7168)*S[5, Infinity] - 
   (1825*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-281*S[-1, Infinity]^4)/3360 + 
     (289*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/1344 - 
     (221*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (8027*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (163*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 + (375*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-803520*S[-7, -1, Infinity] - 24887*S[5, 3, Infinity] + 
     19200*S[-5, -1, -1, -1, Infinity] - 99840*S[-5, -1, 1, 1, Infinity] + 
     609280*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, 1, -1, 1, 1, Infinity] -> (23*S[-1, Infinity]^8)/40320 - 
   (731*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (40811*S[2, Infinity]^4)/94080 + ((-677*S[-1, Infinity]^2)/448 + 
     (2267*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((9*S[-1, Infinity]^3)/2 - (4679*S[-1, Infinity]*S[2, Infinity])/448 + 
     (5249*S[3, Infinity])/7168)*S[5, Infinity] - 
   (27963*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-149*S[-1, Infinity]^4)/2240 + 
     (61*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((313*S[-1, Infinity]^5)/6720 - (137*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (29023*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (237*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 - 
   (3*S[-1, Infinity]^2*(-69*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (691*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-9*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      36*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-392512*S[-7, -1, Infinity] - 47191*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 31232*S[-5, -1, 1, 1, Infinity] + 
     157696*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, -1, -1, 1, 1, -1, 1, -1, Infinity] -> (23*S[-1, Infinity]^8)/40320 - 
   (731*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (1441283*S[2, Infinity]^4)/2352000 + 
   ((-677*S[-1, Infinity]^2)/448 + (3163*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((9*S[-1, Infinity]^3)/2 - 
     (4679*S[-1, Infinity]*S[2, Infinity])/448 - (27007*S[3, Infinity])/7168)*
    S[5, Infinity] - (27963*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-149*S[-1, Infinity]^4)/2240 + 
     (61*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((313*S[-1, Infinity]^5)/6720 - (137*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (29023*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (237*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 - 
   (3*S[-1, Infinity]^2*(-69*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (691*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-9*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      36*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-1962560*S[-7, -1, Infinity] - 311219*S[5, 3, Infinity] - 
     211200*S[-5, -1, -1, -1, Infinity] - 156160*S[-5, -1, 1, 1, Infinity] + 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, 1, -1, -1, 1, Infinity] -> (-41*S[-1, Infinity]^8)/20160 - 
   (1093*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (73427*S[2, Infinity]^4)/67200 + ((23*S[-1, Infinity]^2)/224 + 
     (327*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((401*S[-1, Infinity]^3)/96 - (2271*S[-1, Infinity]*S[2, Infinity])/224 - 
     (2049*S[3, Infinity])/256)*S[5, Infinity] - 
   (77501*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/80 - (47*S[-1, 1, 1, 1, Infinity])/
      40) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*(S[-1, Infinity]^5/24 - 
     (9773*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (49*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-12224*S[-7, -1, Infinity] - 2781*S[5, 3, Infinity] - 
     2176*S[-5, -1, -1, -1, Infinity] - 320*S[-5, -1, 1, 1, Infinity] + 
     6400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[-1, -1, -1, 1, 1, -1, -1, -1, Infinity] -> (-41*S[-1, Infinity]^8)/20160 - 
   (1093*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (68909*S[2, Infinity]^4)/67200 + ((23*S[-1, Infinity]^2)/224 + 
     (167*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((401*S[-1, Infinity]^3)/96 - (2271*S[-1, Infinity]*S[2, Infinity])/224 + 
     (3071*S[3, Infinity])/256)*S[5, Infinity] - 
   (77501*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/80 - (47*S[-1, 1, 1, 1, Infinity])/
      40) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*(S[-1, Infinity]^5/24 - 
     (9773*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (49*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-12224*S[-7, -1, Infinity] - 1757*S[5, 3, Infinity] - 
     2176*S[-5, -1, -1, -1, Infinity] - 320*S[-5, -1, 1, 1, Infinity] + 
     6400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[-1, -1, -1, 1, -1, 1, 1, 1, Infinity] -> (-11*S[-1, Infinity]^8)/20160 - 
   (923*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (276023*S[2, Infinity]^4)/470400 + 
   ((731*S[-1, Infinity]^2)/896 + (8315*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1057*S[-1, Infinity]^3)/384 - 
     (20553*S[-1, Infinity]*S[2, Infinity])/896 - (21099*S[3, Infinity])/
      1792)*S[5, Infinity] - (33513*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/1680 - 
     (39*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/560 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (4125*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (87*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(311*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (131*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 66*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-102208*S[-7, -1, Infinity] - 23657*S[5, 3, Infinity] - 
     18048*S[-5, -1, -1, -1, Infinity] - 3008*S[-5, -1, 1, 1, Infinity] + 
     23296*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[-1, -1, -1, 1, -1, 1, 1, -1, Infinity] -> (-11*S[-1, Infinity]^8)/20160 - 
   (923*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (3960941*S[2, Infinity]^4)/2352000 + 
   ((731*S[-1, Infinity]^2)/896 + (8315*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1057*S[-1, Infinity]^3)/384 - 
     (20553*S[-1, Infinity]*S[2, Infinity])/896 - (3179*S[3, Infinity])/1792)*
    S[5, Infinity] - (33513*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/1680 - 
     (39*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/560 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (4125*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (87*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(311*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (131*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 66*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-511040*S[-7, -1, Infinity] - 98573*S[5, 3, Infinity] - 
     90240*S[-5, -1, -1, -1, Infinity] - 15040*S[-5, -1, 1, 1, Infinity] + 
     116480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -1, 1, -1, 1, -1, 1, Infinity] -> (13*S[-1, Infinity]^8)/40320 - 
   (527*S[-1, Infinity]^2*S[2, Infinity]^3)/480 - 
   (4496743*S[2, Infinity]^4)/2352000 + 
   ((389*S[-1, Infinity]^2)/896 + (7325*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((373*S[-1, Infinity]^3)/128 - 
     (20733*S[-1, Infinity]*S[2, Infinity])/896 + (1041*S[3, Infinity])/7168)*
    S[5, Infinity] - (92049*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (333*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + (153*S[-5, -1, Infinity])/14) + 
   S[2, Infinity]^2*((-271*S[-1, Infinity]^4)/6720 + 
     (69*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/1344 - (437*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (28421*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (69*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(614720*S[-7, -1, Infinity] + 106677*S[5, 3, Infinity] + 
      113920*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
      143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, -1, -1, 1, -1, 1, -1, -1, Infinity] -> (13*S[-1, Infinity]^8)/40320 - 
   (527*S[-1, Infinity]^2*S[2, Infinity]^3)/480 + 
   (1254793*S[2, Infinity]^4)/2352000 + 
   ((389*S[-1, Infinity]^2)/896 + (8669*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((373*S[-1, Infinity]^3)/128 - 
     (20733*S[-1, Infinity]*S[2, Infinity])/896 - (95727*S[3, Infinity])/
      7168)*S[5, Infinity] - (92049*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (333*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + (153*S[-5, -1, Infinity])/14) + 
   S[2, Infinity]^2*((-271*S[-1, Infinity]^4)/6720 + 
     (69*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/1344 - (437*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (28421*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (69*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(614720*S[-7, -1, Infinity] + 138933*S[5, 3, Infinity] + 
      113920*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
      143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, -1, -1, 1, -1, -1, 1, 1, Infinity] -> (29*S[-1, Infinity]^8)/20160 - 
   (4*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (69303*S[2, Infinity]^4)/
    112000 + ((407*S[-1, Infinity]^2)/896 - (71*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-433*S[-1, Infinity]^3)/128 - 
     (4947*S[-1, Infinity]*S[2, Infinity])/896 - (9463*S[3, Infinity])/1024)*
    S[5, Infinity] + (232503*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/96 + 
     (81*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/960 - (65*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (9053*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(2*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (3*S[-1, Infinity]^2*(10*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-24000*S[-7, -1, Infinity] - 4267*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] - 
     15360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, -1, -1, 1, -1, -1, 1, -1, Infinity] -> (29*S[-1, Infinity]^8)/20160 - 
   (4*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (254007*S[2, Infinity]^4)/
    112000 + ((407*S[-1, Infinity]^2)/896 + (185*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-433*S[-1, Infinity]^3)/128 - 
     (4947*S[-1, Infinity]*S[2, Infinity])/896 - (20727*S[3, Infinity])/1024)*
    S[5, Infinity] + (232503*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/96 + 
     (81*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/960 - (65*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (9053*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(2*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (3*S[-1, Infinity]^2*(10*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-8000*S[-7, -1, Infinity] - 3641*S[5, 3, Infinity] + 
      1280*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
      5120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/5120, 
 S[-1, -1, -1, 1, -1, -1, -1, 1, Infinity] -> (-47*S[-1, Infinity]^8)/40320 + 
   (41*S[-1, Infinity]^4*S[2, Infinity]^2)/960 - 
   (113*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (643*S[2, Infinity]^4)/3200 + ((1793*S[-1, Infinity]^2)/896 - 
     (121*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-619*S[-1, Infinity]^3)/128 - (7131*S[-1, Infinity]*S[2, Infinity])/
      896 - (375*S[3, Infinity])/256)*S[5, Infinity] + 
   (92301*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[3, Infinity]*(S[-1, Infinity]^5/240 - (S[-1, Infinity]^3*S[2, Infinity])/
      12 - (271*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (3*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, -1, -1, 1, -1, -1, -1, -1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/40320 + (41*S[-1, Infinity]^4*S[2, Infinity]^2)/
    960 - (113*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (141*S[2, Infinity]^4)/3200 + ((1793*S[-1, Infinity]^2)/896 - 
     (121*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-619*S[-1, Infinity]^3)/128 - (7131*S[-1, Infinity]*S[2, Infinity])/
      896 - (375*S[3, Infinity])/256)*S[5, Infinity] + 
   (92301*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[3, Infinity]*(S[-1, Infinity]^5/240 - (S[-1, Infinity]^3*S[2, Infinity])/
      12 - (271*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (3*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, -1, -1, -1, 1, 1, 1, 1, Infinity] -> (11*S[-1, Infinity]^8)/40320 + 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (1955329*S[2, Infinity]^4)/
    784000 + ((1747*S[-1, Infinity]^2)/896 - (717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1093*S[-1, Infinity]^3)/384 - 
     (4311*S[-1, Infinity]*S[2, Infinity])/896 - (1221*S[3, Infinity])/1792)*
    S[5, Infinity] + (28107*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/1344 - 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-271*S[-1, Infinity]^5)/3360 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (689*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (215*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-549*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^2*(4*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] - 
     197120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -1, -1, 1, 1, 1, -1, Infinity] -> (11*S[-1, Infinity]^8)/40320 + 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (3272449*S[2, Infinity]^4)/
    784000 + ((1747*S[-1, Infinity]^2)/896 - (717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1093*S[-1, Infinity]^3)/384 - 
     (4311*S[-1, Infinity]*S[2, Infinity])/896 + (13115*S[3, Infinity])/1792)*
    S[5, Infinity] + (28107*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/1344 - 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-271*S[-1, Infinity]^5)/3360 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (689*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (215*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-549*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^2*(4*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] - 
     197120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -1, -1, 1, 1, -1, 1, Infinity] -> (23*S[-1, Infinity]^8)/20160 + 
   (277*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (9257387*S[2, Infinity]^4)/2352000 + 
   ((2165*S[-1, Infinity]^2)/896 - (3259*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-571*S[-1, Infinity]^3)/128 - 
     (2103*S[-1, Infinity]*S[2, Infinity])/896 + (35293*S[3, Infinity])/3584)*
    S[5, Infinity] + (84545*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/336 - 
     (317*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-237*S[-1, Infinity]^5)/2240 + 
     (361*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (7691*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (60*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-(S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-613*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(4*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] - 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (640320*S[-7, -1, Infinity] + 97973*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 81280*S[-5, -1, 1, 1, Infinity] - 
     412160*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, 1, 1, -1, -1, Infinity] -> (23*S[-1, Infinity]^8)/20160 + 
   (277*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1387577*S[2, Infinity]^4)/784000 + 
   ((2165*S[-1, Infinity]^2)/896 - (2363*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-571*S[-1, Infinity]^3)/128 - 
     (2103*S[-1, Infinity]*S[2, Infinity])/896 - (4131*S[3, Infinity])/3584)*
    S[5, Infinity] + (84545*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/336 - 
     (317*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-237*S[-1, Infinity]^5)/2240 + 
     (361*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (7691*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (60*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-(S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-613*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(4*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] - 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (640320*S[-7, -1, Infinity] + 58549*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 81280*S[-5, -1, 1, 1, Infinity] - 
     412160*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, 1, -1, 1, 1, Infinity] -> (31*S[-1, Infinity]^8)/40320 + 
   (151*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (250163*S[2, Infinity]^4)/470400 + 
   ((1511*S[-1, Infinity]^2)/896 - (10609*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3697*S[-1, Infinity]^3)/384 + 
     (10729*S[-1, Infinity]*S[2, Infinity])/896 + (47263*S[3, Infinity])/
      3584)*S[5, Infinity] + (173637*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/2240 - 
     (99*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-557*S[-1, Infinity]^5)/6720 + (235*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (17277*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (99*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (3*(-237*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(24*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*(79872*S[-7, -1, Infinity] + 15359*S[5, 3, Infinity] + 
      12800*S[-5, -1, -1, -1, Infinity] + 4224*S[-5, -1, 1, 1, Infinity] - 
      21504*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/3584, 
 S[-1, -1, -1, -1, 1, -1, 1, -1, Infinity] -> (31*S[-1, Infinity]^8)/40320 + 
   (151*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1180443*S[2, Infinity]^4)/784000 + 
   ((1511*S[-1, Infinity]^2)/896 - (7921*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3697*S[-1, Infinity]^3)/384 + 
     (10729*S[-1, Infinity]*S[2, Infinity])/896 - (4705*S[3, Infinity])/3584)*
    S[5, Infinity] + (173637*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/2240 - 
     (99*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-557*S[-1, Infinity]^5)/6720 + (235*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (17277*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (99*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (3*(-237*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(24*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*(399360*S[-7, -1, Infinity] + 66043*S[5, 3, Infinity] + 
      64000*S[-5, -1, -1, -1, Infinity] + 21120*S[-5, -1, 1, 1, Infinity] - 
      107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, -1, -1, -1, 1, -1, -1, 1, Infinity] -> (-37*S[-1, Infinity]^8)/20160 + 
   (671*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1846389*S[2, Infinity]^4)/784000 + 
   ((1817*S[-1, Infinity]^2)/896 - (6319*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2953*S[-1, Infinity]^3)/384 + 
     (3053*S[-1, Infinity]*S[2, Infinity])/896 + (15611*S[3, Infinity])/896)*
    S[5, Infinity] + (58701*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (159*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/280 - 
     (69*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/3360 + 
     (209*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (13359*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (279*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 - (831*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (379200*S[-7, -1, Infinity] + 109079*S[5, 3, Infinity] + 
     59520*S[-5, -1, -1, -1, Infinity] + 41280*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -1, -1, 1, -1, -1, -1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/20160 + (671*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1631349*S[2, Infinity]^4)/784000 + 
   ((1817*S[-1, Infinity]^2)/896 - (6319*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2953*S[-1, Infinity]^3)/384 + 
     (3053*S[-1, Infinity]*S[2, Infinity])/896 + (15611*S[3, Infinity])/896)*
    S[5, Infinity] + (58701*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (159*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/280 - 
     (69*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/3360 + 
     (209*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (13359*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (279*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 - (831*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(126400*S[-7, -1, Infinity] + 24413*S[5, 3, Infinity] + 
      19840*S[-5, -1, -1, -1, Infinity] + 13760*S[-5, -1, 1, 1, Infinity] - 
      44800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/8960, 
 S[-1, -1, -1, -1, -1, 1, 1, 1, Infinity] -> (13*S[-1, Infinity]^8)/20160 - 
   (97*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (1087951*S[2, Infinity]^4)/
    784000 + ((-313*S[-1, Infinity]^2)/224 - (215*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/64 + 
     (463*S[-1, Infinity]*S[2, Infinity])/448 + (19119*S[3, Infinity])/3584)*
    S[5, Infinity] - (12071*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/336 + 
     (193*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/1120 - 
     (179*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (87*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(29*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (109*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-153920*S[-7, -1, Infinity] + 15643*S[5, 3, Infinity] + 
     28160*S[-5, -1, -1, -1, Infinity] - 41600*S[-5, -1, 1, 1, Infinity] + 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, -1, 1, 1, -1, Infinity] -> (13*S[-1, Infinity]^8)/20160 - 
   (97*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (2452559*S[2, Infinity]^4)/
    784000 + ((-313*S[-1, Infinity]^2)/224 + (233*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/64 + 
     (463*S[-1, Infinity]*S[2, Infinity])/448 - (20305*S[3, Infinity])/3584)*
    S[5, Infinity] - (12071*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/336 + 
     (193*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/1120 - 
     (179*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (87*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(29*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (109*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-153920*S[-7, -1, Infinity] - 16613*S[5, 3, Infinity] + 
     28160*S[-5, -1, -1, -1, Infinity] - 41600*S[-5, -1, 1, 1, Infinity] + 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, -1, 1, -1, 1, Infinity] -> (61*S[-1, Infinity]^8)/40320 - 
   (421*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (323583*S[2, Infinity]^4)/784000 + 
   ((-527*S[-1, Infinity]^2)/448 + (1765*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/8 - 
     (1059*S[-1, Infinity]*S[2, Infinity])/224 - (6345*S[3, Infinity])/3584)*
    S[5, Infinity] - (63*S[-1, Infinity]*S[7, Infinity])/2 + 
   S[2, Infinity]^2*((-159*S[-1, Infinity]^4)/2240 + 
     (3*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((37*S[-1, Infinity]^5)/6720 - (359*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (2679*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (99*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-33*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (3*(184000*S[-7, -1, Infinity] + 14657*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
      71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, -1, -1, -1, -1, 1, -1, -1, Infinity] -> (61*S[-1, Infinity]^8)/40320 - 
   (421*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (485169*S[2, Infinity]^4)/784000 + 
   ((-527*S[-1, Infinity]^2)/448 + (1765*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/8 - 
     (1059*S[-1, Infinity]*S[2, Infinity])/224 + (15159*S[3, Infinity])/3584)*
    S[5, Infinity] - (63*S[-1, Infinity]*S[7, Infinity])/2 + 
   S[2, Infinity]^2*((-159*S[-1, Infinity]^4)/2240 + 
     (3*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((37*S[-1, Infinity]^5)/6720 - (359*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (2679*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (99*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-33*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (3*(184000*S[-7, -1, Infinity] + 25409*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
      71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, -1, -1, -1, -1, -1, 1, 1, Infinity] -> (53*S[-1, Infinity]^8)/20160 - 
   (73*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (456373*S[2, Infinity]^4)/
    784000 + ((31*S[-1, Infinity]^2)/112 + (103*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/64 - 
     (375*S[-1, Infinity]*S[2, Infinity])/448 - (7177*S[3, Infinity])/1792)*
    S[5, Infinity] - (14321*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/35 - 
     (183*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-317*S[-1, Infinity]^5)/6720 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (999*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (3*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-3040*S[-7, -1, Infinity] - 631*S[5, 3, Infinity] - 
      480*S[-5, -1, -1, -1, Infinity] - 80*S[-5, -1, 1, 1, Infinity] - 
      2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/2240, 
 S[-1, -1, -1, -1, -1, -1, 1, -1, Infinity] -> (53*S[-1, Infinity]^8)/20160 - 
   (73*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (1209013*S[2, Infinity]^4)/
    784000 + ((31*S[-1, Infinity]^2)/112 + (103*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/64 - 
     (375*S[-1, Infinity]*S[2, Infinity])/448 - (9*S[3, Infinity])/1792)*
    S[5, Infinity] - (14321*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/35 - 
     (183*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-317*S[-1, Infinity]^5)/6720 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (999*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (3*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-3040*S[-7, -1, Infinity] - 631*S[5, 3, Infinity] - 
      480*S[-5, -1, -1, -1, Infinity] - 80*S[-5, -1, 1, 1, Infinity] - 
      2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/2240, 
 S[-1, -1, -1, -1, -1, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/40320 + 
   (S[-1, Infinity]^6*S[2, Infinity])/1440 + 
   (3*S[-1, Infinity]^4*S[2, Infinity]^2)/320 + 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (967*S[2, Infinity]^4)/4480 + (-S[-1, Infinity]^5/480 - 
     (S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (9*S[-1, Infinity]*S[2, Infinity]^2)/160)*S[3, Infinity] + 
   (S[-1, Infinity]^2/64 + S[2, Infinity]/64)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/32 - (3*S[-1, Infinity]*S[2, Infinity])/32 + 
     (3*S[3, Infinity])/64)*S[5, Infinity] - 
   (9*S[-1, Infinity]*S[7, Infinity])/64, 
 S[-1, -1, -1, -1, -1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/40320 + (S[-1, Infinity]^6*S[2, Infinity])/1440 + 
   (3*S[-1, Infinity]^4*S[2, Infinity]^2)/320 + 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1261*S[2, Infinity]^4)/22400 + 
   (-S[-1, Infinity]^5/480 - (S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (9*S[-1, Infinity]*S[2, Infinity]^2)/160)*S[3, Infinity] + 
   (S[-1, Infinity]^2/64 + S[2, Infinity]/64)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/32 - (3*S[-1, Infinity]*S[2, Infinity])/32 + 
     (3*S[3, Infinity])/64)*S[5, Infinity] - 
   (9*S[-1, Infinity]*S[7, Infinity])/64, S[2, 1, 1, 1, 1, 1, 1, Infinity] -> 
  (24*S[2, Infinity]^4)/25, S[2, 1, 1, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/40320 - (S[-1, Infinity]^6*S[2, Infinity])/360 - 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/10 - 
   (8*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (24*S[2, Infinity]^4)/25 + 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] - 
   7*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[2, 1, 1, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/20160 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (6787*S[2, Infinity]^4)/5600 + 
   ((-5*S[-1, Infinity]^2)/8 + (3*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/64 - (95*S[-1, Infinity]*S[2, Infinity])/64 - 
     (85*S[3, Infinity])/128)*S[5, Infinity] - 
   (379*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/48 - (3*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(S[-1, Infinity]^5/30 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (111*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/720 + (15*S[-5, -1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/
    2 - (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-2304*S[-7, -1, Infinity] - 201*S[5, 3, Infinity] - 
     384*S[-5, -1, 1, 1, Infinity] + 256*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[2, 1, 1, 1, 1, -1, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/40320 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (1516993*S[2, Infinity]^4)/784000 + 
   ((45*S[-1, Infinity]^2)/448 + (457*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-15*S[-1, Infinity]*S[2, Infinity])/7 - (5655*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((2539*S[-1, Infinity]^4)/6720 - 
     (25*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    (S[-1, Infinity]^5/112 - (5*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/480 + 
     (235*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-261760*S[-7, -1, Infinity] - 35351*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] + 
     304640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[2, 1, 1, 1, -1, 1, 1, Infinity] -> (19*S[-1, Infinity]^8)/40320 + 
   (653*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1310171*S[2, Infinity]^4)/784000 + 
   ((-213*S[-1, Infinity]^2)/896 - (157*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 + 
     (225*S[-1, Infinity]*S[2, Infinity])/896 + (6157*S[3, Infinity])/1792)*
    S[5, Infinity] + (24831*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/448 - 
     (27*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/1120 + (81*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (913*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (3*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-157*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-20000*S[-7, -1, Infinity] + 619*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 8640*S[-5, -1, 1, 1, Infinity] + 
     152320*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[2, 1, 1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/2520 + 
   (1377*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (582193*S[2, Infinity]^4)/784000 + 
   ((163*S[-1, Infinity]^2)/896 - (981*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((30*S[-1, Infinity]*S[2, Infinity])/7 + 
     (4707*S[3, Infinity])/896)*S[5, Infinity] + 
   S[2, Infinity]^2*((-283*S[-1, Infinity]^4)/6720 - 
     (13*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/672 + 
     (347*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1009*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (95*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-365*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-10*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (25400*S[-7, -1, Infinity] + 3103*S[5, 3, Infinity] + 
     2080*S[-5, -1, -1, -1, Infinity] + 5200*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[2, 1, 1, 1, -1, -1, 1, Infinity] -> (-41*S[-1, Infinity]^8)/40320 - 
   (2*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (1507329*S[2, Infinity]^4)/
    784000 + ((27*S[-1, Infinity]^2)/896 - (717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-9*S[-1, Infinity]*S[2, Infinity])/14 + 
     (11323*S[3, Infinity])/1792)*S[5, Infinity] + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-219*S[-1, Infinity]^4)/448 + 
     (393*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/1120 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 - (549*S[-5, -1, Infinity])/
      56 + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[2, 1, 1, 1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^8/1344 + 
   (477*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (669951*S[2, Infinity]^4)/392000 + 
   ((887*S[-1, Infinity]^2)/448 - (717*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/128 + 
     (2281*S[-1, Infinity]*S[2, Infinity])/896 + (5051*S[3, Infinity])/896)*
    S[5, Infinity] + (49611*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1367*S[-1, Infinity]^4)/3360 + 
     (141*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/1680 + 
     (187*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1091*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (103*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(183*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[2, 1, 1, -1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/448 - 
   (2479*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (633799*S[2, Infinity]^4)/156800 + 
   ((1097*S[-1, Infinity]^2)/896 + (1581*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/96 - 
     (1507*S[-1, Infinity]*S[2, Infinity])/448 - (961*S[3, Infinity])/448)*
    S[5, Infinity] - (183105*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-587*S[-1, Infinity]^4)/1680 + 
     (73*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-547*S[-1, Infinity]^5)/6720 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4853*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (151*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-333*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(75*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (17216*S[-7, -1, Infinity] - 989*S[5, 3, Infinity] - 
     2752*S[-5, -1, -1, -1, Infinity] + 4768*S[-5, -1, 1, 1, Infinity] - 
     25088*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/896, 
 S[2, 1, 1, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/315 - 
   (79*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (298883*S[2, Infinity]^4)/
    156800 + ((-235*S[-1, Infinity]^2)/896 - (4611*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/192 + 
     (2567*S[-1, Infinity]*S[2, Infinity])/224 + (1695*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/672 - 
     (69*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-251*S[-1, Infinity]^5)/3360 - 
     (S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (13409*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (251*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-123*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/144 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-227*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (25232*S[-7, -1, Infinity] + 3719*S[5, 3, Infinity] + 
     2080*S[-5, -1, -1, -1, Infinity] + 2512*S[-5, -1, 1, 1, Infinity] - 
     224*S[-1, 1, 1, 1, Infinity]^2 - 14784*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/448, S[2, 1, 1, -1, 1, -1, 1, Infinity] -> 
  (3*S[-1, Infinity]^8)/4480 - (387*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (235239*S[2, Infinity]^4)/784000 + 
   ((-117*S[-1, Infinity]^2)/896 - (589*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/192 + 
     (1031*S[-1, Infinity]*S[2, Infinity])/448 - (1269*S[3, Infinity])/448)*
    S[5, Infinity] - (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1067*S[-1, Infinity]^4)/6720 + 
     (103*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/1344 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (5101*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (165*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 + (69*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (5510*S[-7, -1, Infinity] + 1369*S[5, 3, Infinity] + 
     520*S[-5, -1, -1, -1, Infinity] - 380*S[-5, -1, 1, 1, Infinity] + 
     840*S[-1, 1, 1, 1, Infinity]^2 - 11200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[2, 1, 1, -1, 1, -1, -1, Infinity] -> 
  (73*S[-1, Infinity]^8)/40320 - (489*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (1061659*S[2, Infinity]^4)/392000 + 
   ((27*S[-1, Infinity]^2)/16 + (4059*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((527*S[-1, Infinity]^3)/192 - (1207*S[-1, Infinity]*S[2, Infinity])/64 - 
     (19007*S[3, Infinity])/1792)*S[5, Infinity] - 
   (216943*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-1721*S[-1, Infinity]^4)/6720 + 
     (559*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/280 - 
     (523*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (43*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (73*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (565*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-422880*S[-7, -1, Infinity] - 92797*S[5, 3, Infinity] - 
     81920*S[-5, -1, -1, -1, Infinity] - 21120*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 62720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 1, 1, -1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/224 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (380803*S[2, Infinity]^4)/196000 + 
   ((-423*S[-1, Infinity]^2)/448 - (1927*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((141*S[-1, Infinity]*S[2, Infinity])/7 + 
     (7661*S[3, Infinity])/1792)*S[5, Infinity] - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/105 - 
     (37*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 + (94*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-613*S[-1, Infinity]^5)/6720 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (5967*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (23360*S[-7, -1, Infinity] + 65433*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 1, 1, -1, -1, 1, -1, Infinity] -> 
  (37*S[-1, Infinity]^8)/20160 - (3757*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (2094591*S[2, Infinity]^4)/392000 + 
   ((-1067*S[-1, Infinity]^2)/448 + (717*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/128 - 
     (1825*S[-1, Infinity]*S[2, Infinity])/896 - (1915*S[3, Infinity])/896)*
    S[5, Infinity] - (243717*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/1120 - 
     (141*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*(S[-1, Infinity]^5/42 - 
     (307*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1579*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(183*S[-5, -1, Infinity] - 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[2, 1, 1, -1, -1, -1, 1, Infinity] -> (-3*S[-1, Infinity]^8)/896 - 
   (2007*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (159129*S[2, Infinity]^4)/28000 + ((-107*S[-1, Infinity]^2)/224 - 
     (249*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/128 + (4359*S[-1, Infinity]*S[2, Infinity])/896 - 
     (397*S[3, Infinity])/256)*S[5, Infinity] - 
   (121259*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/192 - 
     (93*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*(S[-1, Infinity]^5/320 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (6703*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((67*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-37*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (3*S[-1, Infinity]^2*(19*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (54560*S[-7, -1, Infinity] + 4401*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2 - 55040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[2, 1, 1, -1, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/1920 - (605*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (918153*S[2, Infinity]^4)/784000 + 
   ((-655*S[-1, Infinity]^2)/448 - (1979*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((48*S[-1, Infinity]*S[2, Infinity])/7 + 
     (1345*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-367*S[-1, Infinity]^4)/2240 + 
     S[-1, 1, 1, 1, Infinity]/140) + S[3, Infinity]*
    ((-5*S[-1, Infinity]^5)/224 - (29*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (947*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (3*S[-1, Infinity]^2*(19*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((89*S[-1, Infinity]^6)/1440 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (22*S[-5, -1, Infinity] + 
       21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (374400*S[-7, -1, Infinity] + 101681*S[5, 3, Infinity] + 
     76800*S[-5, -1, -1, -1, Infinity] - 18560*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, 1, -1, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/336 + (1451*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (853599*S[2, Infinity]^4)/392000 + 
   ((-1053*S[-1, Infinity]^2)/1792 - (107*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/384 + 
     (1621*S[-1, Infinity]*S[2, Infinity])/896 - (7555*S[3, Infinity])/3584)*
    S[5, Infinity] + (6231*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((439*S[-1, Infinity]^4)/1344 + 
     (117*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((293*S[-1, Infinity]^5)/6720 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2297*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (171*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (685*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (3*(72160*S[-7, -1, Infinity] + 5021*S[5, 3, Infinity] - 
      1280*S[-5, -1, -1, -1, Infinity] + 12480*S[-5, -1, 1, 1, Infinity] + 
      4480*S[-1, 1, 1, 1, Infinity]^2 - 62720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[2, 1, -1, 1, 1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/4480 + (569*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (297177*S[2, Infinity]^4)/196000 + 
   ((-367*S[-1, Infinity]^2)/1792 + (1153*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/384 - 
     (367*S[-1, Infinity]*S[2, Infinity])/896 - (39*S[3, Infinity])/112)*
    S[5, Infinity] + S[2, Infinity]^2*((2293*S[-1, Infinity]^4)/6720 - 
     (79*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((79*S[-1, Infinity]^5)/2240 - (9*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (4839*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (143*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/288 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (377*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-323200*S[-7, -1, Infinity] - 26031*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 56960*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, 1, -1, 1, 1, -1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/2240 - (81*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (188509*S[2, Infinity]^4)/49000 + ((2081*S[-1, Infinity]^2)/1792 + 
     (13215*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/384 - (14663*S[-1, Infinity]*S[2, Infinity])/896 - 
     (93963*S[3, Infinity])/7168)*S[5, Infinity] + 
   (155*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/84 + 
     (453*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((437*S[-1, Infinity]^5)/6720 + 
     (431*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (26819*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (313*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/96 + (1235*S[-5, -1, Infinity])/
      56 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (-2220480*S[-7, -1, Infinity] - 413691*S[5, 3, Infinity] - 
     198400*S[-5, -1, -1, -1, Infinity] - 276480*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1039360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, 1, -1, 1, 1, -1, -1, Infinity] -> 
  (353*S[-1, Infinity]^8)/40320 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (419499*S[2, Infinity]^4)/78400 + 
   ((-223*S[-1, Infinity]^2)/256 + (785*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 - 
     (1059*S[-1, Infinity]*S[2, Infinity])/128 - (79217*S[3, Infinity])/7168)*
    S[5, Infinity] + (139179*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1481*S[-1, Infinity]^4)/2240 + 
     (1059*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/448 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (5597*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (123*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/360 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (947*S[-5, -1, Infinity] - 126*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-39*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-515520*S[-7, -1, Infinity] - 59317*S[5, 3, Infinity] - 
     24832*S[-5, -1, -1, -1, Infinity] - 79104*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 301056*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[2, 1, -1, 1, -1, 1, 1, Infinity] -> 
  (521*S[-1, Infinity]^8)/40320 - (801*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (380803*S[2, Infinity]^4)/784000 + 
   ((-521*S[-1, Infinity]^2)/1792 - (3691*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((141*S[-1, Infinity]*S[2, Infinity])/28 + 
     (7661*S[3, Infinity])/7168)*S[5, Infinity] - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((181*S[-1, Infinity]^4)/672 + 
     (47*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/360 + (47*S[-5, -1, Infinity])/
      14 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-149*S[-1, Infinity]^5)/1680 + 
     (113*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1649*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (23360*S[-7, -1, Infinity] + 65433*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, 1, -1, 1, -1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/1008 + (251*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (4029*S[2, Infinity]^4)/12250 + 
   ((149*S[-1, Infinity]^2)/256 - (829*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 + 
     (527*S[-1, Infinity]*S[2, Infinity])/64 + (27507*S[3, Infinity])/7168)*
    S[5, Infinity] - (31049*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/672 + 
     (471*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (27*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-229*S[-1, Infinity]^5)/1680 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1837*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(138560*S[-7, -1, Infinity] + 26937*S[5, 3, Infinity] + 
      21760*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[2, 1, -1, 1, -1, -1, 1, Infinity] -> 
  (-179*S[-1, Infinity]^8)/40320 + (97*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 - (711579*S[2, Infinity]^4)/156800 + 
   ((859*S[-1, Infinity]^2)/1792 - (8553*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (16749*S[-1, Infinity]*S[2, Infinity])/896 + (43569*S[3, Infinity])/
      3584)*S[5, Infinity] - (26373*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-5287*S[-1, Infinity]^4)/6720 - 
     (1321*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-51*S[-1, Infinity]^5)/560 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1287*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (136*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((323*S[-1, Infinity]^6)/1440 - 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(347*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-151*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (71024*S[-7, -1, Infinity] + 7995*S[5, 3, Infinity] + 
     4288*S[-5, -1, -1, -1, Infinity] + 11392*S[-5, -1, 1, 1, Infinity] - 
     4032*S[-1, 1, 1, 1, Infinity]^2 - 30464*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[2, 1, -1, 1, -1, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/4032 + (277*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1406919*S[2, Infinity]^4)/392000 + 
   ((-3851*S[-1, Infinity]^2)/1792 - (21591*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((27327*S[-1, Infinity]*S[2, Infinity])/896 + 
     (80469*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-115*S[-1, Infinity]^4)/168 - 
     (1651*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/70 - 
     (173*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (8157*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (143*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((163*S[-1, Infinity]^6)/720 - 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(501*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-92*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (362080*S[-7, -1, Infinity] + 76299*S[5, 3, Infinity] + 
     45440*S[-5, -1, -1, -1, Infinity] + 36320*S[-5, -1, 1, 1, Infinity] - 
     20160*S[-1, 1, 1, 1, Infinity]^2 - 85120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[2, 1, -1, -1, 1, 1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/10080 - (319*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (380803*S[2, Infinity]^4)/196000 + 
   ((423*S[-1, Infinity]^2)/448 + (1927*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-141*S[-1, Infinity]*S[2, Infinity])/7 - 
     (7661*S[3, Infinity])/1792)*S[5, Infinity] + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/70 - (43*S[-1, 1, 1, 1, Infinity])/
      7) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/45 - (94*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/560 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (8319*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (-23360*S[-7, -1, Infinity] - 65433*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 170240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 1, -1, -1, 1, 1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/4032 + (603*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1718271*S[2, Infinity]^4)/392000 + 
   ((1187*S[-1, Infinity]^2)/448 - (717*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 + 
     (1513*S[-1, Infinity]*S[2, Infinity])/448 + (5051*S[3, Infinity])/896)*
    S[5, Infinity] + (24361*S[-1, Infinity]*S[7, Infinity])/896 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/3360 + 
     (57*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-179*S[-1, Infinity]^5)/1344 + 
     (187*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3153*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (89*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/120 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(183*S[-5, -1, Infinity] - 
        140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[2, 1, -1, -1, 1, -1, 1, Infinity] -> 
  (403*S[-1, Infinity]^8)/40320 + (1013*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (2893939*S[2, Infinity]^4)/784000 + 
   ((2125*S[-1, Infinity]^2)/448 - (4967*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 + 
     (3861*S[-1, Infinity]*S[2, Infinity])/224 + (144045*S[3, Infinity])/
      7168)*S[5, Infinity] + (3783*S[-1, Infinity]*S[7, Infinity])/448 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((331*S[-1, Infinity]^4)/1680 + 
     (717*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-131*S[-1, Infinity]^5)/336 + 
     (1619*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (32121*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (183*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-79*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (2*(57*S[-5, -1, Infinity] - 49*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-96*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*(253760*S[-7, -1, Infinity] + 76123*S[5, 3, Infinity] + 
      37120*S[-5, -1, -1, -1, Infinity] + 52480*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[2, 1, -1, -1, 1, -1, -1, Infinity] -> 
  (97*S[-1, Infinity]^8)/40320 + (2481*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1514573*S[2, Infinity]^4)/784000 + 
   ((1139*S[-1, Infinity]^2)/896 + (2843*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((27*S[-1, Infinity]*S[2, Infinity])/28 + 
     (31791*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((71*S[-1, Infinity]^4)/672 - 
     (9*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/6720 - 
     (127*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (8571*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (39*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/90 - 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-45*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-242240*S[-7, -1, Infinity] - 45639*S[5, 3, Infinity] - 
      32000*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 + 430080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[2, 1, -1, -1, -1, 1, 1, Infinity] -> 
  (197*S[-1, Infinity]^8)/20160 + (623*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (2199927*S[2, Infinity]^4)/196000 + 
   ((-1089*S[-1, Infinity]^2)/448 + (8873*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 - 
     (5965*S[-1, Infinity]*S[2, Infinity])/448 - (113007*S[3, Infinity])/
      7168)*S[5, Infinity] + (47153*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((4189*S[-1, Infinity]^4)/3360 + 
     (395*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((1507*S[-1, Infinity]^5)/6720 - (3*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (59673*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (389*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(26*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-89*S[-1, Infinity]^6)/360 + 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (683*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] - 152*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3915200*S[-7, -1, Infinity] - 342847*S[5, 3, Infinity] - 
     39680*S[-5, -1, -1, -1, Infinity] - 686080*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 2723840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, 1, -1, -1, -1, 1, -1, Infinity] -> 
  (31*S[-1, Infinity]^8)/2520 + (3503*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (5828103*S[2, Infinity]^4)/784000 + 
   ((1025*S[-1, Infinity]^2)/896 + (12553*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 - 
     (12639*S[-1, Infinity]*S[2, Infinity])/448 - (131067*S[3, Infinity])/
      7168)*S[5, Infinity] - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    8 + S[2, Infinity]^2*((1853*S[-1, Infinity]^4)/1680 + 
     (1877*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/112 + 
     (397*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (66611*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (361*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/144 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(439*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(76*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-5106880*S[-7, -1, Infinity] - 799947*S[5, 3, Infinity] - 
     416000*S[-5, -1, -1, -1, Infinity] - 596480*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 2544640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, 1, -1, -1, -1, -1, 1, Infinity] -> 
  (-191*S[-1, Infinity]^8)/40320 + (219*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (2353709*S[2, Infinity]^4)/784000 + 
   ((1025*S[-1, Infinity]^2)/896 + (7177*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 - 
     (17823*S[-1, Infinity]*S[2, Infinity])/896 - (24239*S[3, Infinity])/
      1792)*S[5, Infinity] + (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((95*S[-1, Infinity]^4)/168 - 
     (517*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/448 + 
     (73*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3013*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (617*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/180 + (961*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (-146840*S[-7, -1, Infinity] - 31161*S[5, 3, Infinity] - 
     16480*S[-5, -1, -1, -1, Infinity] - 12080*S[-5, -1, 1, 1, Infinity] - 
     10080*S[-1, 1, 1, 1, Infinity]^2 + 98560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[2, 1, -1, -1, -1, -1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/2688 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (1800417*S[2, Infinity]^4)/196000 + 
   ((-1165*S[-1, Infinity]^2)/224 + (2999*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-12855*S[-1, Infinity]*S[2, Infinity])/896 - 
     (38091*S[3, Infinity])/1792)*S[5, Infinity] + 
   (11511*S[-1, Infinity]*S[7, Infinity])/224 + 
   (141*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((859*S[-1, Infinity]^4)/1120 - 
     (123*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((881*S[-1, Infinity]^5)/1680 - 
     (341*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3621*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (171*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(-201*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] + 48*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(200160*S[-7, -1, Infinity] + 22261*S[5, 3, Infinity] + 
      3840*S[-5, -1, -1, -1, Infinity] + 36480*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 170240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[2, -1, 1, 1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/1344 - (117*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (373*S[2, Infinity]^4)/7000 + ((-183*S[-1, Infinity]^2)/256 - 
     (441*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 + (445*S[-1, Infinity]*S[2, Infinity])/64 + 
     (311*S[3, Infinity])/256)*S[5, Infinity] - 
   (1389*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/120 + 
     (3*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/160 - 
     (S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (113*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2 + S[2, Infinity]*(S[-1, Infinity]^6/144 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (3840*S[-7, -1, Infinity] + 981*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/640, 
 S[2, -1, 1, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/20160 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (21899*S[2, Infinity]^4)/56000 + ((-5*S[-1, Infinity]^2)/256 - 
     (293*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 + (443*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2101*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/48 + 
     (13*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((-5*S[-1, Infinity]^5)/192 + (S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (109*S[-1, Infinity]*S[2, Infinity]^2)/64 + S[-1, 1, 1, 1, 1, Infinity]/
      2) - (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3*S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (31040*S[-7, -1, Infinity] + 4509*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 1280*S[-1, 1, 1, 1, Infinity]^2 - 
     23040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[2, -1, 1, 1, 1, -1, 1, Infinity] -> (17*S[-1, Infinity]^8)/40320 + 
   (109*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (39709*S[2, Infinity]^4)/28000 + ((303*S[-1, Infinity]^2)/256 + 
     (441*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 - (107*S[-1, Infinity]*S[2, Infinity])/64 - 
     (9679*S[3, Infinity])/1024)*S[5, Infinity] + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/192 + 
     (31*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((-91*S[-1, Infinity]^5)/960 + (23*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (39*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/288 + 2*S[-5, -1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (-39360*S[-7, -1, Infinity] - 3819*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[2, -1, 1, 1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/5760 + (71*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2206*S[2, Infinity]^4)/6125 + ((-317*S[-1, Infinity]^2)/1792 - 
     (159*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 - (1173*S[-1, Infinity]*S[2, Infinity])/224 + 
     (55925*S[3, Infinity])/7168)*S[5, Infinity] + 
   (401*S[-1, Infinity]*S[7, Infinity])/512 + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/6720 + 
     (289*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/1680 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1597*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (149*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + (375*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-803520*S[-7, -1, Infinity] - 24887*S[5, 3, Infinity] + 
     19200*S[-5, -1, -1, -1, Infinity] - 99840*S[-5, -1, 1, 1, Infinity] + 
     609280*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[2, -1, 1, 1, -1, 1, 1, Infinity] -> (-11*S[-1, Infinity]^8)/2880 - 
   (541*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (701153*S[2, Infinity]^4)/196000 + 
   ((-393*S[-1, Infinity]^2)/1792 - (5827*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-795*S[-1, Infinity]*S[2, Infinity])/448 + 
     (64919*S[3, Infinity])/7168)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-211*S[-1, Infinity]^4)/840 - 
     (173*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/840 - 
     (27*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (237*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/96 - (901*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (1124800*S[-7, -1, Infinity] + 162483*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] + 227840*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 752640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -1, 1, 1, -1, 1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/4032 - (187*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (3765557*S[2, Infinity]^4)/784000 + 
   ((1479*S[-1, Infinity]^2)/1792 - (41*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 - 
     (481*S[-1, Infinity]*S[2, Infinity])/896 + (114977*S[3, Infinity])/7168)*
    S[5, Infinity] - (60447*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (97*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/280 - 
     (23*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-205*S[-1, Infinity]^5)/1344 + 
     (187*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (24561*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (439*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-1445*S[-5, -1, Infinity] + 
       252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 34*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1597760*S[-7, -1, Infinity] + 207373*S[5, 3, Infinity] + 
     55040*S[-5, -1, -1, -1, Infinity] + 294400*S[-5, -1, 1, 1, Infinity] - 
     1003520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[2, -1, 1, 1, -1, -1, 1, Infinity] -> (-19*S[-1, Infinity]^8)/1920 - 
   (307*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (36623*S[2, Infinity]^4)/9800 + ((-6005*S[-1, Infinity]^2)/1792 - 
     (8073*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((279*S[-1, Infinity]^3)/128 + (16451*S[-1, Infinity]*S[2, Infinity])/
      896 - (233*S[3, Infinity])/56)*S[5, Infinity] - 
   (44445*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-687*S[-1, Infinity]^4)/2240 - 
     (1691*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((503*S[-1, Infinity]^5)/6720 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (4479*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (445*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((139*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (15*(99*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(25*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (150912*S[-7, -1, Infinity] + 17615*S[5, 3, Infinity] + 
     10624*S[-5, -1, -1, -1, Infinity] + 14016*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 105728*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[2, -1, 1, 1, -1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/896 - (2621*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (4508681*S[2, Infinity]^4)/784000 + 
   ((-6123*S[-1, Infinity]^2)/1792 - (19223*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((6903*S[-1, Infinity]*S[2, Infinity])/448 + 
     (17883*S[3, Infinity])/896)*S[5, Infinity] + 
   S[2, Infinity]^2*((-145*S[-1, Infinity]^4)/448 - 
     (103*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((207*S[-1, Infinity]^5)/1120 - 
     (481*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (5981*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (65*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (443*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(29*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/288 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-316*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (681920*S[-7, -1, Infinity] + 118801*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] + 69760*S[-5, -1, 1, 1, Infinity] - 
     49280*S[-1, 1, 1, 1, Infinity]^2 - 394240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, -1, 1, -1, 1, 1, 1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/2880 + (443*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (200163*S[2, Infinity]^4)/196000 + 
   ((207*S[-1, Infinity]^2)/896 + (831*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2187*S[-1, Infinity]*S[2, Infinity])/448 + 
     (6877*S[3, Infinity])/3584)*S[5, Infinity] + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/1120 - 
     (17*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((181*S[-1, Infinity]^5)/3360 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (6199*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - (127*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (-115520*S[-7, -1, Infinity] - 51019*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] + 38400*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, 1, -1, 1, 1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/8064 + (2167*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (155471*S[2, Infinity]^4)/196000 + 
   ((-295*S[-1, Infinity]^2)/896 - (4341*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 + 
     (5031*S[-1, Infinity]*S[2, Infinity])/896 + (65749*S[3, Infinity])/3584)*
    S[5, Infinity] + (111873*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/560 - 
     (197*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/3360 + 
     (505*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1863*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (221*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-659*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 65*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (433920*S[-7, -1, Infinity] + 99843*S[5, 3, Infinity] + 
     70400*S[-5, -1, -1, -1, Infinity] + 72960*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 125440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, 1, -1, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/3360 + (1501*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (343471*S[2, Infinity]^4)/196000 + 
   ((2255*S[-1, Infinity]^2)/896 + (3391*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 - 
     (13935*S[-1, Infinity]*S[2, Infinity])/896 + (110235*S[3, Infinity])/
      7168)*S[5, Infinity] + (63699*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((949*S[-1, Infinity]^4)/3360 - 
     (5*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-247*S[-1, Infinity]^5)/6720 - (5*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (7289*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (25*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 + 
     (-23*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-685760*S[-7, -1, Infinity] - 58239*S[5, 3, Infinity] - 
     121600*S[-5, -1, -1, -1, Infinity] + 32000*S[-5, -1, 1, 1, Infinity] + 
     573440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[2, -1, 1, -1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/13440 + 
   (501*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (274139*S[2, Infinity]^4)/156800 + 
   ((13*S[-1, Infinity]^2)/7 + (1065*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-12273*S[-1, Infinity]*S[2, Infinity])/448 - (58467*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((701*S[-1, Infinity]^4)/2240 + 
     (43*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((197*S[-1, Infinity]^5)/6720 - (107*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (31853*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 + 
     (170*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(125*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-434752*S[-7, -1, Infinity] - 84705*S[5, 3, Infinity] - 
     65792*S[-5, -1, -1, -1, Infinity] - 22016*S[-5, -1, 1, 1, Infinity] + 
     222208*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[2, -1, 1, -1, -1, 1, 1, Infinity] -> (29*S[-1, Infinity]^8)/1920 + 
   (335*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (532461*S[2, Infinity]^4)/98000 + ((4583*S[-1, Infinity]^2)/896 + 
     (13079*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-589*S[-1, Infinity]^3)/128 - (16951*S[-1, Infinity]*S[2, Infinity])/
      896 - (40741*S[3, Infinity])/7168)*S[5, Infinity] + 
   (106923*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((4579*S[-1, Infinity]^4)/6720 + 
     (293*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-115*S[-1, Infinity]^5)/672 + (121*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (38279*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (601*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/360 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(753*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(38*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3938240*S[-7, -1, Infinity] - 532027*S[5, 3, Infinity] - 
     282880*S[-5, -1, -1, -1, Infinity] - 424960*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 + 2544640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -1, 1, -1, -1, 1, -1, Infinity] -> 
  (101*S[-1, Infinity]^8)/6720 + (1983*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (6190761*S[2, Infinity]^4)/784000 + 
   ((1905*S[-1, Infinity]^2)/448 + (8109*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (28185*S[-1, Infinity]*S[2, Infinity])/896 - (243345*S[3, Infinity])/
      7168)*S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((1133*S[-1, Infinity]^4)/2240 + 
     (123*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-25*S[-1, Infinity]^5)/224 - (71*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (62913*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (801*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(379*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (3*S[-1, Infinity]^2*(27*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(-1594560*S[-7, -1, Infinity] - 273813*S[5, 3, Infinity] - 
      165120*S[-5, -1, -1, -1, Infinity] - 166400*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 + 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[2, -1, 1, -1, -1, -1, 1, Infinity] -> 
  (43*S[-1, Infinity]^8)/13440 + (41*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (450001*S[2, Infinity]^4)/98000 + 
   ((267*S[-1, Infinity]^2)/224 + (1893*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (11241*S[-1, Infinity]*S[2, Infinity])/896 - (62255*S[3, Infinity])/
      3584)*S[5, Infinity] + (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((1013*S[-1, Infinity]^4)/2240 + 
     (297*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((319*S[-1, Infinity]^5)/2240 + 
     (33*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (21501*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (138*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/480 + (1657*S[-5, -1, Infinity])/
      56 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (-1450560*S[-7, -1, Infinity] - 213181*S[5, 3, Infinity] - 
     110080*S[-5, -1, -1, -1, Infinity] - 190080*S[-5, -1, 1, 1, Infinity] + 
     698880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[2, -1, 1, -1, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/288 + 
   (437*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (359007*S[2, Infinity]^4)/49000 + ((-1719*S[-1, Infinity]^2)/896 + 
     (1235*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/128 - (2871*S[-1, Infinity]*S[2, Infinity])/
      896 - (79557*S[3, Infinity])/3584)*S[5, Infinity] + 
   (226497*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((1051*S[-1, Infinity]^4)/1680 + 
     (101*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((1343*S[-1, Infinity]^5)/6720 + (295*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (5147*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (745*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-173*S[-1, Infinity]^6)/1440 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(145*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1566400*S[-7, -1, Infinity] - 198609*S[5, 3, Infinity] - 
     55040*S[-5, -1, -1, -1, Infinity] - 258560*S[-5, -1, 1, 1, Infinity] + 
     931840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[2, -1, -1, 1, 1, 1, 1, Infinity] -> (13*S[-1, Infinity]^8)/40320 + 
   (31*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (1507329*S[2, Infinity]^4)/
    784000 + ((-27*S[-1, Infinity]^2)/896 + (717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((9*S[-1, Infinity]*S[2, Infinity])/14 - 
     (11323*S[3, Infinity])/1792)*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-467*S[-1, Infinity]^4)/6720 + 
     (123*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/1120 + (3*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/1440 + (549*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] - 
     116480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[2, -1, -1, 1, 1, 1, -1, Infinity] -> (-101*S[-1, Infinity]^8)/13440 - 
   (2549*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (3599871*S[2, Infinity]^4)/784000 + 
   ((-1427*S[-1, Infinity]^2)/896 + (717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1357*S[-1, Infinity]*S[2, Infinity])/448 - 
     (11323*S[3, Infinity])/1792)*S[5, Infinity] - 
   (6945*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-2483*S[-1, Infinity]^4)/6720 - 
     (393*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((1109*S[-1, Infinity]^5)/6720 - 
     (1109*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (13357*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (187*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/360 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(183*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, -1, -1, 1, 1, -1, 1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/4032 - (831*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (3967011*S[2, Infinity]^4)/784000 + 
   ((-2441*S[-1, Infinity]^2)/896 + (3557*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (14761*S[-1, Infinity]*S[2, Infinity])/448 - (68645*S[3, Infinity])/
      3584)*S[5, Infinity] + (62743*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((127*S[-1, Infinity]^4)/336 - 
     (277*S[-1, 1, 1, 1, Infinity])/56) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((2921*S[-1, Infinity]^5)/6720 - 
     (515*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (16227*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (179*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/80 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1143*S[-5, -1, Infinity] - 
       476*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(123*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-87*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-928320*S[-7, -1, Infinity] - 180653*S[5, 3, Infinity] - 
     158720*S[-5, -1, -1, -1, Infinity] - 96640*S[-5, -1, 1, 1, Infinity] - 
     98560*S[-1, 1, 1, 1, Infinity]^2 - 197120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, -1, 1, 1, -1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/20160 - (251*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (1007*S[2, Infinity]^4)/49000 + 
   ((1219*S[-1, Infinity]^2)/896 + (8851*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-15945*S[-1, Infinity]*S[2, Infinity])/448 - 
     (16137*S[3, Infinity])/896)*S[5, Infinity] + 
   S[2, Infinity]^2*((2479*S[-1, Infinity]^4)/3360 + 
     (97*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/840 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2353*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (59*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/180 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (202*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(179*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-15930*S[-7, -1, Infinity] - 3541*S[5, 3, Infinity] - 
     2880*S[-5, -1, -1, -1, Infinity] - 900*S[-5, -1, 1, 1, Infinity] - 
     280*S[-1, 1, 1, 1, Infinity]^2 + 1120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/280, S[2, -1, -1, 1, -1, 1, 1, Infinity] -> 
  (137*S[-1, Infinity]^8)/40320 - (1327*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (104159*S[2, Infinity]^4)/39200 + 
   ((739*S[-1, Infinity]^2)/224 + (4555*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 - 
     (15823*S[-1, Infinity]*S[2, Infinity])/896 + (5435*S[3, Infinity])/3584)*
    S[5, Infinity] - (122195*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-303*S[-1, Infinity]^4)/2240 + 
     (13*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-51*S[-1, Infinity]^5)/448 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (4727*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (19*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(127*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-90752*S[-7, -1, Infinity] - 25825*S[5, 3, Infinity] - 
     27392*S[-5, -1, -1, -1, Infinity] + 5888*S[-5, -1, 1, 1, Infinity] + 
     5376*S[-1, 1, 1, 1, Infinity]^2 + 14336*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[2, -1, -1, 1, -1, 1, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/40320 - (2771*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (8067*S[2, Infinity]^4)/28000 + 
   ((129*S[-1, Infinity]^2)/64 + (361*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/128 - (2745*S[-1, Infinity]*S[2, Infinity])/
      128 - (5049*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/320 - (7*S[-1, 1, 1, 1, Infinity])/
      40) + (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/160 + 
     (9*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (159*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    ((-107*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(17*S[-5, -1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-24320*S[-7, -1, Infinity] - 12969*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[2, -1, -1, 1, -1, -1, 1, Infinity] -> (13*S[-1, Infinity]^8)/2880 - 
   (289*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (275323*S[2, Infinity]^4)/392000 + 
   ((-99*S[-1, Infinity]^2)/112 - (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 + 
     (2985*S[-1, Infinity]*S[2, Infinity])/224 + (11491*S[3, Infinity])/1792)*
    S[5, Infinity] - (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-69*S[-1, Infinity]^4)/560 + 
     (193*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/140 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (1947*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/360 - (173*S[-5, -1, Infinity])/
      28 + (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (350720*S[-7, -1, Infinity] + 94811*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, -1, -1, 1, -1, -1, -1, Infinity] -> 
  (149*S[-1, Infinity]^8)/20160 + (433*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (1066869*S[2, Infinity]^4)/784000 + 
   ((2523*S[-1, Infinity]^2)/896 - (6375*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/64 + 
     (129*S[-1, Infinity]*S[2, Infinity])/7 + (14715*S[3, Infinity])/896)*
    S[5, Infinity] - (16443*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (177*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-251*S[-1, Infinity]^4)/1120 + 
     (939*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-2707*S[-1, Infinity]^5)/6720 + 
     (1867*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (22691*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (251*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/180 - (831*S[-5, -1, Infinity])/
      56 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3*(126400*S[-7, -1, Infinity] + 24413*S[5, 3, Infinity] + 
      19840*S[-5, -1, -1, -1, Infinity] + 13760*S[-5, -1, 1, 1, Infinity] + 
      13440*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[2, -1, -1, -1, 1, 1, 1, Infinity] -> 
  (-89*S[-1, Infinity]^8)/13440 - (309*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (265309*S[2, Infinity]^4)/49000 + 
   ((-729*S[-1, Infinity]^2)/896 - (5041*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (15013*S[-1, Infinity]*S[2, Infinity])/896 + (41585*S[3, Infinity])/
      3584)*S[5, Infinity] - (46139*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-1849*S[-1, Infinity]^4)/2240 - 
     (599*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-557*S[-1, Infinity]^5)/3360 + 
     (389*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (6421*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (557*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1961*S[-5, -1, Infinity] + 560*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1650240*S[-7, -1, Infinity] + 213523*S[5, 3, Infinity] + 
     97280*S[-5, -1, -1, -1, Infinity] + 193920*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1093120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, -1, -1, 1, 1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/448 - (91*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (1491557*S[2, Infinity]^4)/392000 + 
   ((-899*S[-1, Infinity]^2)/896 - (11643*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 + 
     (13815*S[-1, Infinity]*S[2, Infinity])/448 + (45699*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((-4619*S[-1, Infinity]^4)/6720 - (351*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-243*S[-1, Infinity]^5)/1120 + 
     (59*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (19353*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (729*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-227*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/288 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-981*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2229760*S[-7, -1, Infinity] + 324433*S[5, 3, Infinity] + 
     212480*S[-5, -1, -1, -1, Infinity] + 222080*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1182720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, -1, -1, 1, -1, 1, Infinity] -> 
  (-65*S[-1, Infinity]^8)/8064 + (81*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1914121*S[2, Infinity]^4)/392000 + 
   ((-1359*S[-1, Infinity]^2)/896 - (11777*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 + 
     (1287*S[-1, Infinity]*S[2, Infinity])/56 + (10039*S[3, Infinity])/448)*
    S[5, Infinity] - (151*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1441*S[-1, Infinity]^4)/1344 - 
     (467*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-317*S[-1, Infinity]^5)/1344 + 
     (199*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (16111*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (185*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/720 - (2257*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (254560*S[-7, -1, Infinity] + 43973*S[5, 3, Infinity] + 
     24160*S[-5, -1, -1, -1, Infinity] + 31280*S[-5, -1, 1, 1, Infinity] - 
     118720*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[2, -1, -1, -1, 1, -1, -1, Infinity] -> (-157*S[-1, Infinity]^8)/20160 - 
   (1163*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (3190713*S[2, Infinity]^4)/392000 + 
   ((555*S[-1, Infinity]^2)/448 + (185*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/128 - 
     (3555*S[-1, Infinity]*S[2, Infinity])/896 + (22335*S[3, Infinity])/896)*
    S[5, Infinity] - (22515*S[-1, Infinity]*S[7, Infinity])/448 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-401*S[-1, Infinity]^4)/336 - 
     (793*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-271*S[-1, Infinity]^5)/1344 - 
     (493*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3887*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (625*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((97*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(187*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (507200*S[-7, -1, Infinity] + 61191*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 110080*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[2, -1, -1, -1, -1, 1, 1, Infinity] -> (-191*S[-1, Infinity]^8)/20160 - 
   (67*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (413799*S[2, Infinity]^4)/
    98000 + ((-27*S[-1, Infinity]^2)/224 - (1107*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((2787*S[-1, Infinity]*S[2, Infinity])/896 + 
     (17799*S[3, Infinity])/1792)*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-3419*S[-1, Infinity]^4)/3360 - 
     (477*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/2240 - 
     (375*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (8949*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (477*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((173*S[-1, Infinity]^6)/720 - (291*S[-5, -1, Infinity])/
      14 - (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (200160*S[-7, -1, Infinity] + 22261*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 36480*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 170240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[2, -1, -1, -1, -1, 1, -1, Infinity] -> 
  (-383*S[-1, Infinity]^8)/40320 - (257*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 - (261279*S[2, Infinity]^4)/28000 + 
   ((239*S[-1, Infinity]^2)/224 + (567*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/128 - 
     (1909*S[-1, Infinity]*S[2, Infinity])/224 + (1233*S[3, Infinity])/256)*
    S[5, Infinity] - (135993*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-16*S[-1, Infinity]^4)/15 - 
     (207*S[-1, 1, 1, 1, Infinity])/40) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/320 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (597*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (63*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((39*S[-1, Infinity]^6)/160 - 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(-15*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 110*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-2200*S[-7, -1, Infinity] + 167*S[5, 3, Infinity] + 
      640*S[-5, -1, -1, -1, Infinity] - 800*S[-5, -1, 1, 1, Infinity] + 
      320*S[-1, 1, 1, 1, Infinity]^2 + 4800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/320, S[2, -1, -1, -1, -1, -1, 1, Infinity] -> 
  (-121*S[-1, Infinity]^8)/20160 - (1271*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2324151*S[2, Infinity]^4)/392000 + 
   ((-351*S[-1, Infinity]^2)/224 - (2629*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 + 
     (29301*S[-1, Infinity]*S[2, Infinity])/896 + (14283*S[3, Infinity])/
      3584)*S[5, Infinity] - (20985*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-163*S[-1, Infinity]^4)/672 - 
     (967*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-463*S[-1, Infinity]^5)/3360 + 
     (179*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (29383*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (142*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(-577*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-263*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2128960*S[-7, -1, Infinity] + 298659*S[5, 3, Infinity] + 
     185600*S[-5, -1, -1, -1, Infinity] + 181760*S[-5, -1, 1, 1, Infinity] - 
     1361920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[2, -1, -1, -1, -1, -1, -1, Infinity] -> (-233*S[-1, Infinity]^8)/40320 - 
   (1273*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (697317*S[2, Infinity]^4)/196000 + 
   ((-267*S[-1, Infinity]^2)/224 - (269*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((2841*S[-1, Infinity]*S[2, Infinity])/112 + 
     (4761*S[3, Infinity])/896)*S[5, Infinity] + 
   S[2, Infinity]^2*((-269*S[-1, Infinity]^4)/1344 - 
     (53*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-349*S[-1, Infinity]^5)/3360 + 
     (223*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (22957*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (227*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(113*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-221*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (206240*S[-7, -1, Infinity] + 29697*S[5, 3, Infinity] + 
     19360*S[-5, -1, -1, -1, Infinity] + 18160*S[-5, -1, 1, 1, Infinity] - 
     136640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[-1, 2, 1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/2016 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (14317*S[2, Infinity]^4)/56000 + 
   ((9*S[-1, Infinity]^2)/128 + (41*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-3*S[-1, Infinity]*S[2, Infinity])/2 - (1571*S[3, Infinity])/512)*
    S[5, Infinity] + 6*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/60 - S[-1, 1, 1, 1, Infinity]/10) + 
   S[3, Infinity]*(S[-1, Infinity]^5/160 - (S[-1, Infinity]^3*S[2, Infinity])/
      16 - (177*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      10*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-2*S[-5, -1, Infinity] + 
       5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (8000*S[-7, -1, Infinity] - 1207*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 2, 1, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/8064 + (S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (540069*S[2, Infinity]^4)/784000 + 
   ((-27*S[-1, Infinity]^2)/896 + (45*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((9*S[-1, Infinity]*S[2, Infinity])/14 - (6997*S[3, Infinity])/1792)*
    S[5, Infinity] + 6*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/1344 - 
     (141*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/1120 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(43*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-2400*S[-7, -1, Infinity] - 619*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 8640*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, 1, 1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/4032 - (527*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (474323*S[2, Infinity]^4)/392000 + 
   ((-4901*S[-1, Infinity]^2)/1792 - (5085*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (5939*S[-1, Infinity]*S[2, Infinity])/448 - (87247*S[3, Infinity])/7168)*
    S[5, Infinity] - (359*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((-473*S[-1, Infinity]^4)/3360 - 
     (129*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/3360 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (18159*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (243*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-13*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (1156160*S[-7, -1, Infinity] + 194669*S[5, 3, Infinity] + 
     175360*S[-5, -1, -1, -1, Infinity] - 32000*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1397760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, 1, 1, 1, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/13440 - (269*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (43693*S[2, Infinity]^4)/11200 + 
   ((-437*S[-1, Infinity]^2)/128 - (1041*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (1445*S[-1, Infinity]*S[2, Infinity])/64 - (1967*S[3, Infinity])/512)*
    S[5, Infinity] - (359*S[-1, Infinity]*S[7, Infinity])/256 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/960 - 
     (3*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/960 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (449*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/1440 - (85*S[-5, -1, Infinity])/8 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (33152*S[-7, -1, Infinity] + 5229*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 1408*S[-5, -1, 1, 1, Infinity] - 
     256*S[-1, 1, 1, 1, Infinity]^2 - 31744*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[-1, 2, 1, 1, -1, 1, 1, Infinity] -> 
  (403*S[-1, Infinity]^8)/40320 + (1181*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1870657*S[2, Infinity]^4)/196000 + 
   ((1101*S[-1, Infinity]^2)/1792 + (26421*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/192 - 
     (3407*S[-1, Infinity]*S[2, Infinity])/112 - (78625*S[3, Infinity])/7168)*
    S[5, Infinity] - (75135*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((4943*S[-1, Infinity]^4)/6720 + 
     (1147*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((269*S[-1, Infinity]^5)/1680 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (78787*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1979*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(100*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-179*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3365*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      210*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-6653120*S[-7, -1, Infinity] - 813777*S[5, 3, Infinity] - 
     426240*S[-5, -1, -1, -1, Infinity] - 774400*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 4157440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, 1, 1, -1, 1, -1, Infinity] -> 
  (379*S[-1, Infinity]^8)/40320 + (129*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1870159*S[2, Infinity]^4)/196000 + 
   ((1501*S[-1, Infinity]^2)/896 + (23209*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/192 - 
     (28823*S[-1, Infinity]*S[2, Infinity])/448 - (86253*S[3, Infinity])/
      3584)*S[5, Infinity] - (75135*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (341*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((2517*S[-1, Infinity]^4)/2240 + 
     (1149*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1831*S[-1, Infinity]^5)/6720 - 
     (1145*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (32793*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1367*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/288 + (3987*S[-5, -1, Infinity])/
      56 + (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      210*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-4486400*S[-7, -1, Infinity] - 649657*S[5, 3, Infinity] - 
     398080*S[-5, -1, -1, -1, Infinity] - 430720*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 2383360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 2, 1, 1, -1, -1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/1440 + (3071*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (33801*S[2, Infinity]^4)/3136 + 
   ((8539*S[-1, Infinity]^2)/896 + (38039*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 - 
     (24959*S[-1, Infinity]*S[2, Infinity])/224 - (73463*S[3, Infinity])/
      3584)*S[5, Infinity] - (34521*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((709*S[-1, Infinity]^4)/560 + 
     (449*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((321*S[-1, Infinity]^5)/1120 - (1075*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (83789*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (323*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]^2*(275*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/180 + 
     (4313*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-1203648*S[-7, -1, Infinity] - 194767*S[5, 3, Infinity] - 
     139520*S[-5, -1, -1, -1, Infinity] - 82688*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2 + 673792*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, 2, 1, 1, -1, -1, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/2016 + (3503*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (6839597*S[2, Infinity]^4)/784000 + 
   ((899*S[-1, Infinity]^2)/128 + (24021*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 - 
     (2249*S[-1, Infinity]*S[2, Infinity])/32 - (647*S[3, Infinity])/1792)*
    S[5, Infinity] - (34521*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((3709*S[-1, Infinity]^4)/3360 + 
     (279*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((139*S[-1, Infinity]^5)/672 - (101*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (8671*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (256*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/360 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4127*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   S[-1, Infinity]^2*(10*S[-5, -1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-2440320*S[-7, -1, Infinity] - 346707*S[5, 3, Infinity] - 
     243840*S[-5, -1, -1, -1, Infinity] - 210880*S[-5, -1, 1, 1, Infinity] + 
     31360*S[-1, 1, 1, 1, Infinity]^2 + 1442560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, 1, -1, 1, 1, 1, Infinity] -> 
  (197*S[-1, Infinity]^8)/13440 + (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (56449*S[2, Infinity]^4)/6272 + ((747*S[-1, Infinity]^2)/256 - 
     (30131*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 + (83*S[-1, Infinity]*S[2, Infinity])/2 + 
     (13357*S[3, Infinity])/896)*S[5, Infinity] + 
   (8273*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((191*S[-1, Infinity]^4)/2240 - 
     (1203*S[-1, 1, 1, 1, Infinity])/280) - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1131*S[-1, Infinity]^5)/2240 + 
     (2273*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1295*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2441*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2 + S[2, Infinity]*((-127*S[-1, Infinity]^6)/1440 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1707*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(110*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (20966*S[-7, -1, Infinity] + 2601*S[5, 3, Infinity] + 
     1416*S[-5, -1, -1, -1, Infinity] + 2392*S[-5, -1, 1, 1, Infinity] + 
     560*S[-1, 1, 1, 1, Infinity]^2 - 12880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/112, S[-1, 2, 1, -1, 1, 1, -1, Infinity] -> 
  (43*S[-1, Infinity]^8)/2880 - (1133*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (517383*S[2, Infinity]^4)/56000 + 
   ((7225*S[-1, Infinity]^2)/1792 - (2577*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (10021*S[-1, Infinity]*S[2, Infinity])/448 + (17957*S[3, Infinity])/
      1024)*S[5, Infinity] + (8273*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (395*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/480 - S[-1, 1, 1, 1, Infinity]/
      40) - (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-71*S[-1, Infinity]^5)/160 + 
     (203*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (66821*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (145*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/180 - (385*S[-5, -1, Infinity])/
      8 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(110*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (709440*S[-7, -1, Infinity] + 84829*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 92160*S[-5, -1, 1, 1, Infinity] + 
     25600*S[-1, 1, 1, 1, Infinity]^2 - 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 2, 1, -1, 1, -1, 1, Infinity] -> 
  (31*S[-1, Infinity]^8)/5760 + (25*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (1171139*S[2, Infinity]^4)/156800 + 
   ((-4037*S[-1, Infinity]^2)/896 - (15965*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/128 + 
     (51111*S[-1, Infinity]*S[2, Infinity])/896 + (49835*S[3, Infinity])/
      1792)*S[5, Infinity] - (184931*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-6217*S[-1, Infinity]^4)/6720 - 
     (461*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-2077*S[-1, Infinity]^5)/6720 + 
     (1699*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (47227*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (215*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-1231*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-80*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-80*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (274304*S[-7, -1, Infinity] + 43583*S[5, 3, Infinity] + 
     25344*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] - 
     148736*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[-1, 2, 1, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/252 + 
   (131*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (5214919*S[2, Infinity]^4)/
    784000 + ((-8833*S[-1, Infinity]^2)/1792 - (39121*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/128 + 
     (8541*S[-1, Infinity]*S[2, Infinity])/112 + (65137*S[3, Infinity])/3584)*
    S[5, Infinity] - (184931*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/84 - 
     (1319*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-2617*S[-1, Infinity]^5)/6720 + 
     (68*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (62947*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (565*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-73*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-3569*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-80*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1934560*S[-7, -1, Infinity] + 280699*S[5, 3, Infinity] + 
     184320*S[-5, -1, -1, -1, Infinity] + 180800*S[-5, -1, 1, 1, Infinity] - 
     985600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 2, 1, -1, -1, 1, 1, Infinity] -> (-33*S[-1, Infinity]^8)/2240 + 
   (507*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (907143*S[2, Infinity]^4)/56000 + ((-19241*S[-1, Infinity]^2)/1792 - 
     (16499*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/64 + (78177*S[-1, Infinity]*S[2, Infinity])/448 + 
     (52393*S[3, Infinity])/1024)*S[5, Infinity] + 
   (178827*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-577*S[-1, Infinity]^4)/240 - 
     (89*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-643*S[-1, Infinity]^5)/960 + 
     (281*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (289357*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (341*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (7*(-163*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-745*S[-5, -1, Infinity] + 
      98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2774720*S[-7, -1, Infinity] + 435539*S[5, 3, Infinity] + 
     305920*S[-5, -1, -1, -1, Infinity] + 231680*S[-5, -1, 1, 1, Infinity] - 
     15360*S[-1, 1, 1, 1, Infinity]^2 - 1372160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 2, 1, -1, -1, 1, -1, Infinity] -> 
  (-149*S[-1, Infinity]^8)/6720 + (219*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (167361*S[2, Infinity]^4)/11200 + 
   ((-9099*S[-1, Infinity]^2)/896 - (7941*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (73473*S[-1, Infinity]*S[2, Infinity])/448 + (44535*S[3, Infinity])/
      1024)*S[5, Infinity] + (178827*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-309*S[-1, Infinity]^4)/160 - 
     (531*S[-1, 1, 1, 1, Infinity])/40) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-203*S[-1, Infinity]^5)/320 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (56337*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     81*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((5*S[-1, Infinity]^6)/24 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(405*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (3*S[-1, Infinity]^2*(527*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-185792*S[-7, -1, Infinity] - 28903*S[5, 3, Infinity] - 
      20224*S[-5, -1, -1, -1, Infinity] - 16384*S[-5, -1, 1, 1, Infinity] + 
      2560*S[-1, 1, 1, 1, Infinity]^2 + 87040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1024, S[-1, 2, 1, -1, -1, -1, 1, Infinity] -> 
  (73*S[-1, Infinity]^8)/13440 + (2223*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (17362567*S[2, Infinity]^4)/784000 + 
   ((1625*S[-1, Infinity]^2)/896 - (54407*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1209*S[-1, Infinity]^3)/128 + 
     (61125*S[-1, Infinity]*S[2, Infinity])/448 + (631031*S[3, Infinity])/
      7168)*S[5, Infinity] + (290657*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2579*S[-1, Infinity]^4)/2240 - 
     (3113*S[-1, 1, 1, 1, Infinity])/280) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-7129*S[-1, Infinity]^5)/6720 + 
     (2525*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (59235*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (6457*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/288 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9677*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-941*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(230*S[-5, 1, 1, Infinity] - 71*S[5, -1, -1, Infinity] - 
      952*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (19750720*S[-7, -1, Infinity] + 2984413*S[5, 3, Infinity] + 
     1793280*S[-5, -1, -1, -1, Infinity] + 
     2113280*S[-5, -1, 1, 1, Infinity] + 161280*S[-1, 1, 1, 1, Infinity]^2 - 
     9318400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 2, 1, -1, -1, -1, -1, Infinity] -> (263*S[-1, Infinity]^8)/40320 + 
   (4289*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (10987*S[2, Infinity]^4)/500 + ((2879*S[-1, Infinity]^2)/896 - 
     (7951*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-1209*S[-1, Infinity]^3)/128 + (136749*S[-1, Infinity]*S[2, Infinity])/
      896 + (22345*S[3, Infinity])/256)*S[5, Infinity] + 
   (290657*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (965*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1931*S[-1, Infinity]^4)/960 - 
     (167*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-547*S[-1, Infinity]^5)/480 + 
     (295*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (82249*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (499*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((323*S[-1, Infinity]^6)/1440 - (1465*S[-5, -1, Infinity])/
      8 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(230*S[-5, 1, 1, Infinity] - 71*S[5, -1, -1, Infinity] - 
      952*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (754880*S[-7, -1, Infinity] + 111413*S[5, 3, Infinity] + 
     67200*S[-5, -1, -1, -1, Infinity] + 80320*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 362240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, 2, -1, 1, 1, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/20160 - (69*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (1103181*S[2, Infinity]^4)/784000 + 
   ((2287*S[-1, Infinity]^2)/1792 + (12111*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 - 
     (10123*S[-1, Infinity]*S[2, Infinity])/448 + (6035*S[3, Infinity])/3584)*
    S[5, Infinity] - (4183*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/420 - S[-1, 1, 1, 1, Infinity]/
      56) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*(S[-1, Infinity]^5/210 - 
     (149*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (743*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (109*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(54*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (23*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   S[-1, Infinity]*(S[5, -1, -1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-832960*S[-7, -1, Infinity] - 153637*S[5, 3, Infinity] - 
     138240*S[-5, -1, -1, -1, Infinity] + 21760*S[-5, -1, 1, 1, Infinity] + 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 2, -1, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/3360 + 
   (391*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (9811*S[2, Infinity]^4)/12250 + ((1809*S[-1, Infinity]^2)/1792 + 
     (12161*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/192 - (9403*S[-1, Infinity]*S[2, Infinity])/448 + 
     (128755*S[3, Infinity])/7168)*S[5, Infinity] - 
   (4183*S[-1, Infinity]*S[7, Infinity])/256 + 
   (201*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/3360 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/1344 - (33*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (31867*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (81*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/720 + (421*S[-5, -1, Infinity])/
      56 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   S[-1, Infinity]*(S[5, -1, -1, Infinity] + 
     6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-2469440*S[-7, -1, Infinity] - 332161*S[5, 3, Infinity] - 
     257280*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 2042880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, -1, 1, 1, -1, 1, Infinity] -> 
  (-233*S[-1, Infinity]^8)/40320 + (3587*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (3264719*S[2, Infinity]^4)/784000 + 
   ((-2383*S[-1, Infinity]^2)/448 + (409*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((837*S[-1, Infinity]^3)/128 + 
     (4321*S[-1, Infinity]*S[2, Infinity])/896 + (48347*S[3, Infinity])/3584)*
    S[5, Infinity] - (89935*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1291*S[-1, Infinity]^4)/6720 + 
     (3*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((1063*S[-1, Infinity]^5)/6720 + 
     (113*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (6787*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (125*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (334*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-143*S[-5, 1, 1, Infinity] + 46*S[5, -1, -1, Infinity] + 
      588*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1342400*S[-7, -1, Infinity] - 81513*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 160000*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 + 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 2, -1, 1, 1, -1, -1, Infinity] -> 
  (-79*S[-1, Infinity]^8)/8064 + (2*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (1099711*S[2, Infinity]^4)/196000 + 
   ((-7081*S[-1, Infinity]^2)/1792 + (9591*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((837*S[-1, Infinity]^3)/128 - 
     (1229*S[-1, Infinity]*S[2, Infinity])/896 - (59415*S[3, Infinity])/3584)*
    S[5, Infinity] - (89935*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-689*S[-1, Infinity]^4)/2240 - 
     (271*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((363*S[-1, Infinity]^5)/2240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (12591*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (513*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/480 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (893*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-143*S[-5, 1, 1, Infinity] + 46*S[5, -1, -1, Infinity] + 
      588*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-922560*S[-7, -1, Infinity] - 138993*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] - 117120*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 806400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 2, -1, 1, -1, 1, 1, Infinity] -> 
  (-79*S[-1, Infinity]^8)/40320 + (549*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (537419*S[2, Infinity]^4)/98000 + 
   ((-767*S[-1, Infinity]^2)/1792 - (49403*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 + 
     (28985*S[-1, Infinity]*S[2, Infinity])/448 + (198855*S[3, Infinity])/
      7168)*S[5, Infinity] + (31799*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-2519*S[-1, Infinity]^4)/6720 - 
     (219*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1997*S[-1, Infinity]^5)/6720 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (119487*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (925*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/480 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-683*S[-5, -1, Infinity] - 
       49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-421*S[-5, -1, Infinity] + 
      98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] - 130*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (7333440*S[-7, -1, Infinity] + 1219373*S[5, 3, Infinity] + 
     899840*S[-5, -1, -1, -1, Infinity] + 560640*S[-5, -1, 1, 1, Infinity] - 
     3333120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 2, -1, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/630 + 
   (2217*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (116141*S[2, Infinity]^4)/56000 + ((-293*S[-1, Infinity]^2)/896 - 
     (2315*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/6 + (44851*S[-1, Infinity]*S[2, Infinity])/896 + 
     (3345*S[3, Infinity])/1024)*S[5, Infinity] + 
   (31799*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/160 - 
     (49*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/192 + 
     (155*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (88989*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (97*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-713*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-175*S[-5, -1, Infinity] + 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] - 130*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (873280*S[-7, -1, Infinity] + 133153*S[5, 3, Infinity] + 
     103680*S[-5, -1, -1, -1, Infinity] + 62720*S[-5, -1, 1, 1, Infinity] - 
     409600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, 2, -1, 1, -1, -1, 1, Infinity] -> (629*S[-1, Infinity]^8)/40320 + 
   (369*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (4737969*S[2, Infinity]^4)/
    392000 + ((3237*S[-1, Infinity]^2)/448 - (9775*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-5239*S[-1, Infinity]^3)/384 + 
     (1637*S[-1, Infinity]*S[2, Infinity])/56 + (442999*S[3, Infinity])/7168)*
    S[5, Infinity] + (122205*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-867*S[-1, Infinity]^4)/2240 - 
     (313*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/112 + 
     (653*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (113829*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3303*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((181*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-389*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-473*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (7489600*S[-7, -1, Infinity] + 1223897*S[5, 3, Infinity] + 
     531200*S[-5, -1, -1, -1, Infinity] + 1072640*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 3046400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, -1, 1, -1, -1, -1, Infinity] -> 
  (71*S[-1, Infinity]^8)/5040 + (1007*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (4836411*S[2, Infinity]^4)/392000 + 
   ((1113*S[-1, Infinity]^2)/128 - (18609*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-5239*S[-1, Infinity]^3)/384 + 
     (3485*S[-1, Infinity]*S[2, Infinity])/128 + (198563*S[3, Infinity])/
      3584)*S[5, Infinity] + (122205*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (63*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((-117*S[-1, Infinity]^4)/140 - 
     (363*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-3979*S[-1, Infinity]^5)/6720 + 
     (829*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (959*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1811*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/90 - (2427*S[-5, -1, Infinity])/
      28 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(1368000*S[-7, -1, Infinity] + 185663*S[5, 3, Infinity] + 
      88320*S[-5, -1, -1, -1, Infinity] + 189440*S[-5, -1, 1, 1, Infinity] + 
      35840*S[-1, 1, 1, 1, Infinity]^2 - 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-1, 2, -1, -1, 1, 1, 1, Infinity] -> 
  (293*S[-1, Infinity]^8)/20160 + (463*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (511991*S[2, Infinity]^4)/49000 + 
   ((97*S[-1, Infinity]^2)/14 + (7333*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-465*S[-1, Infinity]^3)/64 - (45403*S[-1, Infinity]*S[2, Infinity])/
      448 - (39303*S[3, Infinity])/1792)*S[5, Infinity] + 
   (73889*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((4819*S[-1, Infinity]^4)/3360 + 
     (1877*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((131*S[-1, Infinity]^5)/336 - 
     (683*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (4061*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (725*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(187*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2353*S[-5, -1, Infinity] + 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-2723200*S[-7, -1, Infinity] - 403601*S[5, 3, Infinity] - 
     267520*S[-5, -1, -1, -1, Infinity] - 247680*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, -1, -1, 1, 1, -1, Infinity] -> 
  (229*S[-1, Infinity]^8)/10080 - (209*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (9903539*S[2, Infinity]^4)/784000 + 
   ((6743*S[-1, Infinity]^2)/896 + (35263*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/64 - 
     (49243*S[-1, Infinity]*S[2, Infinity])/448 - (126517*S[3, Infinity])/
      3584)*S[5, Infinity] + (73889*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((3023*S[-1, Infinity]^4)/3360 + 
     (1401*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((659*S[-1, Infinity]^5)/1680 - 
     (605*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (44031*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (729*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (5387*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(159*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-6056640*S[-7, -1, Infinity] - 950853*S[5, 3, Infinity] - 
     622080*S[-5, -1, -1, -1, Infinity] - 556160*S[-5, -1, 1, 1, Infinity] + 
     116480*S[-1, 1, 1, 1, Infinity]^2 + 3100160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 2, -1, -1, 1, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/5760 - (2293*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (10083403*S[2, Infinity]^4)/784000 + 
   ((1545*S[-1, Infinity]^2)/1792 + (51769*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/64 - 
     (67881*S[-1, Infinity]*S[2, Infinity])/896 - (421889*S[3, Infinity])/
      7168)*S[5, Infinity] + (47457*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((7223*S[-1, Infinity]^4)/6720 + 
     (739*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((4447*S[-1, Infinity]^5)/6720 - 
     (2935*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (160291*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3817*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2815*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]^2*(275*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] + 46*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-10294720*S[-7, -1, Infinity] - 1423927*S[5, 3, Infinity] - 
     756480*S[-5, -1, -1, -1, Infinity] - 1268480*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 4587520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, -1, -1, 1, -1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/2688 - (183*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (527661*S[2, Infinity]^4)/56000 + 
   ((-1677*S[-1, Infinity]^2)/896 + (2133*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/64 - 
     (23559*S[-1, Infinity]*S[2, Infinity])/448 - (4299*S[3, Infinity])/128)*
    S[5, Infinity] + (47457*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (111*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((569*S[-1, Infinity]^4)/320 + 
     (81*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/40 - (23*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (63717*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (231*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/160 + (627*S[-5, -1, Infinity])/
      8 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] + 46*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(92800*S[-7, -1, Infinity] + 11589*S[5, 3, Infinity] + 
      4480*S[-5, -1, -1, -1, Infinity] + 12480*S[-5, -1, 1, 1, Infinity] + 
      2560*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1280, S[-1, 2, -1, -1, -1, 1, 1, Infinity] -> 
  (-551*S[-1, Infinity]^8)/40320 - (4423*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (169059*S[2, Infinity]^4)/7840 + 
   ((-6003*S[-1, Infinity]^2)/1792 + (113773*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/32 - 
     (134523*S[-1, Infinity]*S[2, Infinity])/896 - (711287*S[3, Infinity])/
      7168)*S[5, Infinity] - (14191*S[-1, Infinity]*S[7, Infinity])/256 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((2913*S[-1, Infinity]^4)/2240 + 
     (1157*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1417*S[-1, Infinity]^5)/1344 - 
     (5111*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (318363*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (6875*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(1063*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-161*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5009*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-37*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity] + 
      164*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-4095808*S[-7, -1, Infinity] - 624993*S[5, 3, Infinity] - 
     384768*S[-5, -1, -1, -1, Infinity] - 430592*S[-5, -1, 1, 1, Infinity] - 
     43008*S[-1, 1, 1, 1, Infinity]^2 + 1885184*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 2, -1, -1, -1, 1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/224 - (309*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (8366179*S[2, Infinity]^4)/392000 + 
   ((-229*S[-1, Infinity]^2)/56 + (7061*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/32 - 
     (16575*S[-1, Infinity]*S[2, Infinity])/112 - (19889*S[3, Infinity])/224)*
    S[5, Infinity] - (14191*S[-1, Infinity]*S[7, Infinity])/256 + 
   (1003*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((279*S[-1, Infinity]^4)/140 + 
     (247*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((1823*S[-1, Infinity]^5)/1680 - (1109*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (41427*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3541*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-97*S[-1, Infinity]^6)/720 + (1286*S[-5, -1, Infinity])/
      7 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-37*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity] + 
      164*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-5320640*S[-7, -1, Infinity] - 787463*S[5, 3, Infinity] - 
     476160*S[-5, -1, -1, -1, Infinity] - 563200*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 2508800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, -1, -1, -1, -1, 1, Infinity] -> 
  (173*S[-1, Infinity]^8)/40320 - (943*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (8466281*S[2, Infinity]^4)/392000 + 
   ((4979*S[-1, Infinity]^2)/896 + (80975*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (3279*S[-1, Infinity]*S[2, Infinity])/14 - (175127*S[3, Infinity])/1792)*
    S[5, Infinity] - (793*S[-1, Infinity]*S[7, Infinity])/16 + 
   S[2, Infinity]^2*((10987*S[-1, Infinity]^4)/6720 + 
     (365*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((365*S[-1, Infinity]^5)/336 - (3461*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (41327*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (1825*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(2669*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-271*S[-1, Infinity]^6)/1440 + 
     (2819*S[-5, -1, Infinity] + 63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-6594880*S[-7, -1, Infinity] - 1058287*S[5, 3, Infinity] - 
     735360*S[-5, -1, -1, -1, Infinity] - 584000*S[-5, -1, 1, 1, Infinity] + 
     3001600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 2, -1, -1, -1, -1, -1, Infinity] -> (29*S[-1, Infinity]^8)/10080 - 
   (881*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1880189*S[2, Infinity]^4)/98000 + 
   ((1933*S[-1, Infinity]^2)/448 + (35269*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (46353*S[-1, Infinity]*S[2, Infinity])/224 - (299413*S[3, Infinity])/
      3584)*S[5, Infinity] - (793*S[-1, Infinity]*S[7, Infinity])/16 + 
   S[2, Infinity]^2*((2101*S[-1, Infinity]^4)/1680 + 
     (409*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((409*S[-1, Infinity]^5)/420 - (755*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (183913*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (818*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-8*S[-1, Infinity]^6)/45 + 
     (5197*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(1219*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-11879360*S[-7, -1, Infinity] - 1893869*S[5, 3, Infinity] - 
     1309440*S[-5, -1, -1, -1, Infinity] - 
     1047040*S[-5, -1, 1, 1, Infinity] + 5519360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 2, 1, 1, 1, 1, Infinity] -> 
  (5*S[-1, Infinity]^8)/4032 + (S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (14317*S[2, Infinity]^4)/22400 + ((-45*S[-1, Infinity]^2)/256 - 
     (205*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((15*S[-1, Infinity]*S[2, Infinity])/4 + (7855*S[3, Infinity])/1024)*
    S[5, Infinity] - 15*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/24 + S[-1, 1, 1, 1, Infinity]/4) - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*(-S[-1, Infinity]^5/64 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) - 
   (5*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 15*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-8000*S[-7, -1, Infinity] + 1207*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     1536*S[-1, 1, 1, 1, Infinity]^2 + 21504*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-1, 1, 2, 1, 1, 1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/40320 - (71*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (56953*S[2, Infinity]^4)/196000 + 
   ((27*S[-1, Infinity]^2)/448 + (123*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/7 + (11831*S[3, Infinity])/1792)*
    S[5, Infinity] - 15*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/420 + 
     (39*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/560 - (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (2*(3*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-75840*S[-7, -1, Infinity] - 5797*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, 2, 1, 1, -1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/2016 + (821*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (62567*S[2, Infinity]^4)/14000 + 
   ((7251*S[-1, Infinity]^2)/1792 + (1625*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/96 - 
     (6407*S[-1, Infinity]*S[2, Infinity])/224 + (7165*S[3, Infinity])/1024)*
    S[5, Infinity] + (44573*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((221*S[-1, Infinity]^4)/480 + 
     (9*S[-1, 1, 1, 1, Infinity])/20) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/480 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (42979*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (125*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-9*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(19*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-313280*S[-7, -1, Infinity] - 59979*S[5, 3, Infinity] - 
     44800*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 + 363520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, 2, 1, 1, -1, -1, Infinity] -> 
  (37*S[-1, Infinity]^8)/10080 + (3741*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (712353*S[2, Infinity]^4)/112000 + 
   ((3783*S[-1, Infinity]^2)/896 + (1415*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/64 - 
     (14711*S[-1, Infinity]*S[2, Infinity])/448 + (1875*S[3, Infinity])/512)*
    S[5, Infinity] + (44573*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/12 + (23*S[-1, 1, 1, 1, Infinity])/
      20) + S[3, Infinity]*((89*S[-1, Infinity]^5)/960 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (4279*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(63*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(73*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-264640*S[-7, -1, Infinity] - 37281*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] - 17920*S[-5, -1, 1, 1, Infinity] + 
     245760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-1, 1, 2, 1, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (729*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2306047*S[2, Infinity]^4)/196000 + 
   ((-4465*S[-1, Infinity]^2)/896 - (29409*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (34273*S[-1, Infinity]*S[2, Infinity])/448 + (45617*S[3, Infinity])/
      1792)*S[5, Infinity] + (86271*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-6397*S[-1, Infinity]^4)/6720 - 
     (395*S[-1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-115*S[-1, Infinity]^5)/672 + 
     (319*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (66821*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (45*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2725*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/288 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-4741*S[-5, -1, Infinity] - 392*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-769*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (5338880*S[-7, -1, Infinity] + 759651*S[5, 3, Infinity] + 
     508160*S[-5, -1, -1, -1, Infinity] + 531200*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 2, 1, -1, 1, -1, Infinity] -> 
  (-601*S[-1, Infinity]^8)/40320 + (43*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (9096439*S[2, Infinity]^4)/784000 + 
   ((-12359*S[-1, Infinity]^2)/1792 - (81495*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/128 + 
     (105339*S[-1, Infinity]*S[2, Infinity])/896 + (291849*S[3, Infinity])/
      7168)*S[5, Infinity] + (86271*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-2419*S[-1, Infinity]^4)/2240 - 
     (3649*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-397*S[-1, Infinity]^5)/1344 + 
     (319*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (195437*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (45*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (445*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((35*S[-1, Infinity]^6)/288 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5485*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-575*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (13401280*S[-7, -1, Infinity] + 2141841*S[5, 3, Infinity] + 
     1504000*S[-5, -1, -1, -1, Infinity] + 
     1112320*S[-5, -1, 1, 1, Infinity] - 322560*S[-1, 1, 1, 1, Infinity]^2 - 
     6272000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 2, 1, -1, -1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/1120 - 
   (4*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (1726867*S[2, Infinity]^4)/
    112000 + ((-20025*S[-1, Infinity]^2)/1792 - (17325*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (161709*S[-1, Infinity]*S[2, Infinity])/896 + (16173*S[3, Infinity])/
      256)*S[5, Infinity] + (28299*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/16 - 
     (231*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/80 + 
     (55*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (71739*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     87*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((31*S[-1, Infinity]^6)/240 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(-371*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (3*S[-1, Infinity]^2*(513*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(226560*S[-7, -1, Infinity] + 36999*S[5, 3, Infinity] + 
      26240*S[-5, -1, -1, -1, Infinity] + 18560*S[-5, -1, 1, 1, Infinity] - 
      102400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/1280, 
 S[-1, 1, 2, 1, -1, -1, -1, Infinity] -> 
  (-947*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (5952299*S[2, Infinity]^4)/392000 + 
   ((-4149*S[-1, Infinity]^2)/448 - (23169*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/32 + 
     (30795*S[-1, Infinity]*S[2, Infinity])/224 + (367767*S[3, Infinity])/
      7168)*S[5, Infinity] + (28299*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2043*S[-1, Infinity]^4)/1120 - 
     (927*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-285*S[-1, Infinity]^5)/448 + 
     (499*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (237873*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (4695*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((9*S[-1, Infinity]^6)/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-2391*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (3*S[-1, Infinity]^2*(193*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(5435840*S[-7, -1, Infinity] + 828459*S[5, 3, Infinity] + 
      572160*S[-5, -1, -1, -1, Infinity] + 503040*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 2688000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, 1, 2, -1, 1, 1, 1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/640 + (87*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (2621791*S[2, Infinity]^4)/392000 + 
   ((-333*S[-1, Infinity]^2)/448 + (5027*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (13637*S[-1, Infinity]*S[2, Infinity])/448 - (25889*S[3, Infinity])/
      3584)*S[5, Infinity] + (158131*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-159*S[-1, Infinity]^4)/2240 + 
     (1023*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((2263*S[-1, Infinity]^5)/6720 - 
     (563*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1639*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (1563*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(110*S[-5, -1, Infinity] - 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((103*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1261*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-26*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2344000*S[-7, -1, Infinity] - 311049*S[5, 3, Infinity] - 
     176640*S[-5, -1, -1, -1, Infinity] - 280320*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1344000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 2, -1, 1, 1, -1, Infinity] -> 
  (-587*S[-1, Infinity]^8)/40320 + (1213*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (96861*S[2, Infinity]^4)/14000 + 
   ((-2241*S[-1, Infinity]^2)/1792 + (2489*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/192 - 
     (4937*S[-1, Infinity]*S[2, Infinity])/224 - (23375*S[3, Infinity])/1024)*
    S[5, Infinity] + (158131*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-49*S[-1, Infinity]^4)/320 - 
     (47*S[-1, 1, 1, 1, Infinity])/40) + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((77*S[-1, Infinity]^5)/240 - 
     (163*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (52877*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     26*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(339*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/160 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (66*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-26*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-482240*S[-7, -1, Infinity] - 66407*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 65280*S[-5, -1, 1, 1, Infinity] - 
     23040*S[-1, 1, 1, 1, Infinity]^2 + 307200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, 2, -1, 1, -1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/640 + (1177*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (355891*S[2, Infinity]^4)/156800 + 
   ((6651*S[-1, Infinity]^2)/1792 + (6933*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/64 - 
     (1965*S[-1, Infinity]*S[2, Infinity])/224 - (36579*S[3, Infinity])/3584)*
    S[5, Infinity] + (15453*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((523*S[-1, Infinity]^4)/2240 - 
     (393*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/1120 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (2979*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(17*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(-16*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (3*(8000*S[-7, -1, Infinity] + 3937*S[5, 3, Infinity] + 
      768*S[-5, -1, -1, -1, Infinity] + 128*S[-5, -1, 1, 1, Infinity] - 
      17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/3584, 
 S[-1, 1, 2, -1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/1120 + 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - (403591*S[2, Infinity]^4)/
    784000 + ((909*S[-1, Infinity]^2)/224 - (993*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/64 - 
     (1485*S[-1, Infinity]*S[2, Infinity])/112 + (131601*S[3, Infinity])/
      7168)*S[5, Infinity] + (15453*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((793*S[-1, Infinity]^4)/2240 + 
     (309*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((157*S[-1, Infinity]^5)/2240 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (18969*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (261*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(269*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (3*(473280*S[-7, -1, Infinity] + 28257*S[5, 3, Infinity] + 
      37120*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] - 
      358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, 1, 2, -1, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/144 - 
   (5837*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (13461037*S[2, Infinity]^4)/784000 + 
   ((16017*S[-1, Infinity]^2)/1792 + (158593*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/128 - 
     (194949*S[-1, Infinity]*S[2, Infinity])/896 - (763411*S[3, Infinity])/
      7168)*S[5, Infinity] - (200247*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1397*S[-1, Infinity]^4)/672 + 
     (1639*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((2169*S[-1, Infinity]^5)/2240 - 
     (481*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (374361*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (795*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(2237*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-107*S[-1, Infinity]^6)/720 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2605*S[-5, -1, Infinity] + 63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-24184640*S[-7, -1, Infinity] - 4051973*S[5, 3, Infinity] - 
     2901760*S[-5, -1, -1, -1, Infinity] - 
     2097920*S[-5, -1, 1, 1, Infinity] + 9605120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 2, -1, -1, 1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/6720 - (469*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 + (339037*S[2, Infinity]^4)/22400 + 
   ((3723*S[-1, Infinity]^2)/448 + (1269*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/64 - 
     (89847*S[-1, Infinity]*S[2, Infinity])/448 - (23757*S[3, Infinity])/256)*
    S[5, Infinity] - (200247*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((347*S[-1, Infinity]^4)/160 + 
     (45*S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    (S[-1, Infinity]^5 - (243*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (22713*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (939*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-123*S[-5, -1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (3*S[-1, Infinity]^2*(176*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*(55232*S[-7, -1, Infinity] + 8937*S[5, 3, Infinity] + 
      6528*S[-5, -1, -1, -1, Infinity] + 4992*S[-5, -1, 1, 1, Infinity] + 
      384*S[-1, 1, 1, 1, Infinity]^2 - 20736*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/256, S[-1, 1, 2, -1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/168 - (1497*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (8621283*S[2, Infinity]^4)/392000 + 
   ((11353*S[-1, Infinity]^2)/1792 + (170365*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 - 
     (52845*S[-1, Infinity]*S[2, Infinity])/224 - (819527*S[3, Infinity])/
      7168)*S[5, Infinity] - (207939*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((10859*S[-1, Infinity]^4)/6720 + 
     (3967*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((1465*S[-1, Infinity]^5)/1344 - 
     (6947*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (414161*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (7283*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (31*(-179*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (S[-1, Infinity]^2*(1363*S[-5, -1, Infinity] - 
      182*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (9*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-25874880*S[-7, -1, Infinity] - 4361929*S[5, 3, Infinity] - 
     3065600*S[-5, -1, -1, -1, Infinity] - 
     2337280*S[-5, -1, 1, 1, Infinity] + 10680320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 2, -1, -1, -1, -1, Infinity] -> 
  (-97*S[-1, Infinity]^8)/40320 - (691*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (2190949*S[2, Infinity]^4)/98000 + 
   ((3169*S[-1, Infinity]^2)/448 + (5535*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((1271*S[-1, Infinity]^3)/128 - 
     (226143*S[-1, Infinity]*S[2, Infinity])/896 - (111351*S[3, Infinity])/
      896)*S[5, Infinity] - (207939*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((4231*S[-1, Infinity]^4)/2240 + 
     (757*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((3911*S[-1, Infinity]^5)/3360 - (3659*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (6901*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1945*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (13*S[-1, Infinity]^2*(221*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-209*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (6067*S[-5, -1, Infinity] + 182*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (9*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-6922880*S[-7, -1, Infinity] - 1144587*S[5, 3, Infinity] - 
     813440*S[-5, -1, -1, -1, Infinity] - 622400*S[-5, -1, 1, 1, Infinity] + 
     2894080*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 1, 1, 2, 1, 1, 1, Infinity] -> (-17*S[-1, Infinity]^8)/20160 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (731971*S[2, Infinity]^4)/
    392000 + ((-27*S[-1, Infinity]^2)/448 - (403*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((2*S[-1, Infinity]^3)/3 - 
     (5*S[-1, Infinity]*S[2, Infinity])/7 - (7249*S[3, Infinity])/896)*
    S[5, Infinity] + 20*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/3360 - 
     (29*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/560 + (3*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-151*S[-5, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   20*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (105120*S[-7, -1, Infinity] + 8761*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2 - 156800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, 1, 2, 1, 1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/20160 + (9*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (678211*S[2, Infinity]^4)/392000 + 
   ((-27*S[-1, Infinity]^2)/448 - (403*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((2*S[-1, Infinity]^3)/3 - 
     (5*S[-1, Infinity]*S[2, Infinity])/7 - (7249*S[3, Infinity])/896)*
    S[5, Infinity] + 20*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/3360 - 
     (17*S[-1, 1, 1, 1, Infinity])/14) + 
   (105120*S[-7, -1, Infinity] + 8761*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/560 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-151*S[-5, -1, Infinity] - 
       420*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   20*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity], 
 S[-1, 1, 1, 2, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (2929*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (55407*S[2, Infinity]^4)/14000 + ((-3081*S[-1, Infinity]^2)/896 - 
     (845*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((125*S[-1, Infinity]^3)/48 + (857*S[-1, Infinity]*S[2, Infinity])/28 - 
     (8455*S[3, Infinity])/1024)*S[5, Infinity] - 
   (98579*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-49*S[-1, Infinity]^4)/96 - 
     (3*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/320 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (8525*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(-7*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-8*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 39*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (313280*S[-7, -1, Infinity] + 59979*S[5, 3, Infinity] + 
     44800*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 363520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, 1, 2, 1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/2016 - (801*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (705953*S[2, Infinity]^4)/112000 + 
   ((-6477*S[-1, Infinity]^2)/1792 - (2597*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((125*S[-1, Infinity]^3)/48 + 
     (481*S[-1, Infinity]*S[2, Infinity])/14 - (857*S[3, Infinity])/256)*
    S[5, Infinity] - (98579*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-35*S[-1, Infinity]^4)/48 - 
     (33*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/320 + 
     (119*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (1523*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (53*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(39*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-99*S[-5, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 39*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (264640*S[-7, -1, Infinity] + 37281*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] + 17920*S[-5, -1, 1, 1, Infinity] - 
     245760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-1, 1, 1, 2, -1, 1, 1, Infinity] -> (47*S[-1, Infinity]^8)/4480 + 
   (1223*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (5928749*S[2, Infinity]^4)/784000 + 
   ((1051*S[-1, Infinity]^2)/448 + (3385*S[2, Infinity])/224)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/48 - 
     (12087*S[-1, Infinity]*S[2, Infinity])/448 - (82235*S[3, Infinity])/
      7168)*S[5, Infinity] - (20443*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((2953*S[-1, Infinity]^4)/6720 + 
     (1401*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/1120 - 
     (401*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (47037*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (156*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-137*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(-255*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(233*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-5183040*S[-7, -1, Infinity] - 657021*S[5, 3, Infinity] - 
     344320*S[-5, -1, -1, -1, Infinity] - 623360*S[-5, -1, 1, 1, Infinity] + 
     232960*S[-1, 1, 1, 1, Infinity]^2 + 3010560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 2, -1, 1, -1, Infinity] -> 
  (463*S[-1, Infinity]^8)/40320 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    14 + (4002549*S[2, Infinity]^4)/784000 + 
   ((787*S[-1, Infinity]^2)/256 + (28839*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/48 - 
     (2721*S[-1, Infinity]*S[2, Infinity])/64 - (1873*S[3, Infinity])/224)*
    S[5, Infinity] - (20443*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((2753*S[-1, Infinity]^4)/6720 + 
     (2077*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((67*S[-1, Infinity]^5)/1120 - 
     (209*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (5151*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (192*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(27*S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/480 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2537*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-2889920*S[-7, -1, Infinity] - 405943*S[5, 3, Infinity] - 
     264960*S[-5, -1, -1, -1, Infinity] - 268160*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 1415680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, 2, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/126 + (1363*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (213011*S[2, Infinity]^4)/24500 + ((6525*S[-1, Infinity]^2)/896 + 
     (27805*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-1267*S[-1, Infinity]^3)/192 - (45051*S[-1, Infinity]*S[2, Infinity])/
      448 - (96605*S[3, Infinity])/3584)*S[5, Infinity] + 
   (124065*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((179*S[-1, Infinity]^4)/140 + 
     (249*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((1271*S[-1, Infinity]^5)/3360 - (1327*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (78919*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (681*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(715*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (4467*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-5081920*S[-7, -1, Infinity] - 763709*S[5, 3, Infinity] - 
     518400*S[-5, -1, -1, -1, Infinity] - 467200*S[-5, -1, 1, 1, Infinity] + 
     2365440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, 1, 2, -1, -1, -1, Infinity] -> (5*S[-1, Infinity]^8)/1008 + 
   (611*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (8111557*S[2, Infinity]^4)/784000 + 
   ((27*S[-1, Infinity]^2)/4 + (13635*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-1267*S[-1, Infinity]^3)/192 - (5709*S[-1, Infinity]*S[2, Infinity])/
      64 - (98249*S[3, Infinity])/3584)*S[5, Infinity] + 
   (124065*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((3959*S[-1, Infinity]^4)/3360 + 
     (759*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1133*S[-1, Infinity]^5)/3360 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (4973*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (306*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1060*S[-5, -1, Infinity] - 
       49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(87*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-4761280*S[-7, -1, Infinity] - 723929*S[5, 3, Infinity] - 
     450560*S[-5, -1, -1, -1, Infinity] - 458880*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 2634240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, 1, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/40320 - (251*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (847409*S[2, Infinity]^4)/392000 + 
   ((477*S[-1, Infinity]^2)/1792 + (3853*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3 - 
     (75*S[-1, Infinity]*S[2, Infinity])/28 + (32003*S[3, Infinity])/7168)*
    S[5, Infinity] - 15*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/6720 + 
     (13*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((53*S[-1, Infinity]^5)/2240 - (53*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (9381*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (159*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (313*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(53*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-981440*S[-7, -1, Infinity] - 147377*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] + 
     1254400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, 1, 2, 1, -1, Infinity] -> S[-1, Infinity]^8/1260 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (2183141*S[2, Infinity]^4)/
    784000 + ((27*S[-1, Infinity]^2)/896 + (963*S[2, Infinity])/896)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3 + 
     (33*S[-1, Infinity]*S[2, Infinity])/14 + (2479*S[3, Infinity])/448)*
    S[5, Infinity] - 15*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((-163*S[-1, Infinity]^4)/6720 + 
     (267*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/1120 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (67*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (501*S[-5, -1, Infinity] + 700*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-119760*S[-7, -1, Infinity] - 10243*S[5, 3, Infinity] - 
     960*S[-5, -1, -1, -1, Infinity] - 15840*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[-1, 1, 1, 1, 2, -1, 1, Infinity] -> (73*S[-1, Infinity]^8)/20160 + 
   (6*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (842243*S[2, Infinity]^4)/
    392000 + ((2027*S[-1, Infinity]^2)/1792 + (5519*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/64 - 
     (6151*S[-1, Infinity]*S[2, Infinity])/448 + (50077*S[3, Infinity])/7168)*
    S[5, Infinity] - (12743*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((823*S[-1, Infinity]^4)/3360 - 
     (29*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((209*S[-1, Infinity]^5)/3360 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (18113*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (181*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(51*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (24*S[-5, -1, Infinity] + 49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1156160*S[-7, -1, Infinity] - 194669*S[5, 3, Infinity] - 
     175360*S[-5, -1, -1, -1, Infinity] + 32000*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 1397760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 1, 2, -1, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/13440 + (1719*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (40813*S[2, Infinity]^4)/11200 + 
   ((671*S[-1, Infinity]^2)/448 + (233*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((29*S[-1, Infinity]^3)/64 - (9655*S[-1, Infinity]*S[2, Infinity])/448 + 
     (175*S[3, Infinity])/64)*S[5, Infinity] - 
   (12743*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((21*S[-1, Infinity]^4)/64 + 
     (37*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((91*S[-1, Infinity]^5)/960 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (15517*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*(19*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(31*S[-5, -1, Infinity] + 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-33152*S[-7, -1, Infinity] - 5229*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 1408*S[-5, -1, 1, 1, Infinity] - 
     256*S[-1, 1, 1, 1, Infinity]^2 + 31744*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[-1, 1, 1, 1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/13440 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (1068993*S[2, Infinity]^4)/784000 + 
   ((-45*S[-1, Infinity]^2)/448 - (457*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((2*S[-1, Infinity]^3)/3 + 
     (S[-1, Infinity]*S[2, Infinity])/7 - (6889*S[3, Infinity])/3584)*
    S[5, Infinity] + 6*S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]^2*((149*S[-1, Infinity]^4)/6720 - 
     (43*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    (-S[-1, Infinity]^5/112 + (5*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     (-235*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (261760*S[-7, -1, Infinity] + 35351*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] - 
     304640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, 1, 1, 1, 2, -1, Infinity] -> -S[-1, Infinity]^8/2240 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (10109*S[2, Infinity]^4)/5600 - (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((2*S[-1, Infinity]^3)/3 - 2*S[-1, Infinity]*S[2, Infinity] - 
     (139*S[3, Infinity])/128)*S[5, Infinity] + 
   6*S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    ((3*S[-1, Infinity]^4)/80 - (9*S[-1, 1, 1, 1, Infinity])/5) + 
   2*S[3, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + 
     (-15*S[-5, -1, Infinity] - 11*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (2304*S[-7, -1, Infinity] + 201*S[5, 3, Infinity] + 
     384*S[-5, -1, 1, 1, Infinity] - 256*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[-1, 1, 1, 1, 1, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/13440 + (S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (3839*S[2, Infinity]^4)/11200 + (S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (-S[-1, Infinity]^3/6 + (S[-1, Infinity]*S[2, Infinity])/2 + 
     (121*S[3, Infinity])/256)*S[5, Infinity] - 
   S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]*
    (-S[-1, Infinity]^6/720 + (5*S[-5, -1, Infinity])/4) + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/160 + S[-1, 1, 1, 1, Infinity]/10) - 
   S[3, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-768*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] + 1280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[-1, 1, 1, 1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/6720 + (23*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (3967*S[2, Infinity]^4)/5600 + (S[2, Infinity]*S[3, Infinity]^2)/4 + 
   (-S[-1, Infinity]^3/6 + (S[-1, Infinity]*S[2, Infinity])/2 + 
     (9*S[3, Infinity])/128)*S[5, Infinity] - 
   S[-1, Infinity]*S[7, Infinity] + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/80 + (3*S[-1, 1, 1, 1, Infinity])/5) - 
   S[3, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (5*S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-768*S[-7, -1, Infinity] - 67*S[5, 3, Infinity] - 
     128*S[-5, -1, 1, 1, Infinity] + 256*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[-1, 1, 1, 1, 1, -1, 2, Infinity] -> 
  (19*S[-1, Infinity]^8)/10080 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + 
   (313*S[2, Infinity]^4)/11200 + ((7*S[-1, Infinity]^2)/128 + 
     S[2, Infinity]/16)*S[3, Infinity]^2 + 
   ((-47*S[-1, Infinity]^3)/96 + (S[-1, Infinity]*S[2, Infinity])/32 + 
     (2737*S[3, Infinity])/512)*S[5, Infinity] - 
   (1143*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/48 + (4*S[-1, 1, 1, 1, Infinity])/
      5) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/160 + 
     (S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (97*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (4*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 - 
   (S[-1, Infinity]*(-S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-3136*S[-7, -1, Infinity] - 117*S[5, 3, Infinity] + 
     256*S[-5, -1, -1, -1, Infinity] - 512*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2 + 2560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[-1, 1, 1, 1, 1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/1260 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (1931*S[2, Infinity]^4)/8000 + ((7*S[-1, Infinity]^2)/128 - 
     (57*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-47*S[-1, Infinity]^3)/96 + (S[-1, Infinity]*S[2, Infinity])/32 + 
     (1585*S[3, Infinity])/512)*S[5, Infinity] - 
   (1143*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/120 + (3*S[-1, 1, 1, 1, Infinity])/
      20) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*(S[-1, Infinity]^5/320 + (S[-1, Infinity]^3*S[2, Infinity])/
      48 + (11*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (3*S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 - 
   (S[-1, Infinity]*(-S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-8000*S[-7, -1, Infinity] + 1207*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, 1, 1, 1, -2, 1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/20160 + (11*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (9703*S[2, Infinity]^4)/28000 + 
   ((-23*S[-1, Infinity]^2)/256 - (441*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]^3)/8 + 
     (79*S[-1, Infinity]*S[2, Infinity])/16 - (507*S[3, Infinity])/256)*
    S[5, Infinity] + (2441*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/120 - S[-1, 1, 1, 1, Infinity]/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/480 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (23*S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
    (S[-1, Infinity]^6/720 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-S[-5, -1, Infinity] - 5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-2*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2 - (S[-1, Infinity]*(-S[5, -1, -1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (1840*S[-7, -1, Infinity] + 329*S[5, 3, Infinity] + 
     320*S[-5, -1, -1, -1, Infinity] - 80*S[-1, 1, 1, 1, Infinity]^2 - 
     1440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/160, 
 S[-1, 1, 1, 1, 1, -2, -1, Infinity] -> -S[-1, Infinity]^8/4480 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (1027217*S[2, Infinity]^4)/
    784000 + ((-341*S[-1, Infinity]^2)/1792 - (4915*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]^3)/8 + 
     (793*S[-1, Infinity]*S[2, Infinity])/112 - (2535*S[3, Infinity])/3584)*
    S[5, Infinity] + (2441*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/448 - 
     (13*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-107*S[-1, Infinity]^5)/3360 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (499*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (95*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-19*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-151*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-S[5, -1, -1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (369280*S[-7, -1, Infinity] + 62819*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 9600*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 394240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, 1, -1, 2, 1, Infinity] -> 
  (83*S[-1, Infinity]^8)/40320 + (681*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (447*S[2, Infinity]^4)/875 + 
   ((167*S[-1, Infinity]^2)/256 - (665*S[2, Infinity])/256)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/48 + 
     (683*S[-1, Infinity]*S[2, Infinity])/64 + (10319*S[3, Infinity])/1024)*
    S[5, Infinity] - (6207*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/64 + (33*S[-1, 1, 1, 1, Infinity])/
      20) - (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/64 + 
     (21*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (403*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-5, -1, Infinity] - 10*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (39360*S[-7, -1, Infinity] + 3819*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, 1, 1, -1, 2, -1, Infinity] -> 
  (131*S[-1, Infinity]^8)/40320 + (21*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 - (168417*S[2, Infinity]^4)/196000 + 
   ((1367*S[-1, Infinity]^2)/1792 + (55*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/48 + 
     (4397*S[-1, Infinity]*S[2, Infinity])/448 - (6309*S[3, Infinity])/7168)*
    S[5, Infinity] - (6207*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-1181*S[-1, Infinity]^4)/6720 + 
     (201*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-131*S[-1, Infinity]^5)/1344 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (3081*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (303*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-347*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-55*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (803520*S[-7, -1, Infinity] + 24887*S[5, 3, Infinity] - 
     19200*S[-5, -1, -1, -1, Infinity] + 99840*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 - 609280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 1, -1, 1, 2, Infinity] -> 
  (-3*S[-1, Infinity]^8)/2240 - (43*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (49519*S[2, Infinity]^4)/56000 + 
   (-S[-1, Infinity]^5/960 - (13*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (597*S[-1, Infinity]*S[2, Infinity]^2)/320)*S[3, Infinity] + 
   ((141*S[-1, Infinity]^2)/128 + (135*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-13*S[-1, Infinity]^3)/16 - (651*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2123*S[3, Infinity])/512)*S[5, Infinity] + 
   (11787*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/48 - (17*S[-1, 1, 1, 1, Infinity])/
      10) + (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/360 - 9*S[-5, -1, Infinity] - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     7*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (23360*S[-7, -1, Infinity] - 1479*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2 - 30720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, 1, 1, -1, 1, -2, Infinity] -> 
  (-19*S[-1, Infinity]^8)/13440 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (6331*S[2, Infinity]^4)/11200 + 
   ((57*S[-1, Infinity]^2)/64 + (81*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-13*S[-1, Infinity]^3)/16 - (183*S[-1, Infinity]*S[2, Infinity])/32 - 
     (1065*S[3, Infinity])/256)*S[5, Infinity] + 
   (11787*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/32 - (3*S[-1, 1, 1, 1, Infinity])/
      10) + S[3, Infinity]*(S[-1, Infinity]^5/480 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (27*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - 4*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      40*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (416*S[-7, -1, Infinity] - 13*S[5, 3, Infinity] - 
     64*S[-5, -1, -1, -1, Infinity] + 96*S[-5, -1, 1, 1, Infinity] - 
     64*S[-1, 1, 1, 1, Infinity]^2 - 576*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/64, S[-1, 1, 1, 1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/840 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (22609*S[2, Infinity]^4)/392000 + 
   ((111*S[-1, Infinity]^2)/896 + (1739*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((61*S[-1, Infinity]^3)/192 - 
     (2017*S[-1, Infinity]*S[2, Infinity])/448 - (8409*S[3, Infinity])/896)*
    S[5, Infinity] + (87609*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/1120 - 
     (9*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/6720 - 
     (115*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3121*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/28) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(2*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (31040*S[-7, -1, Infinity] - 34131*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] + 9600*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, 1, 1, -1, -1, -2, Infinity] -> (-11*S[-1, Infinity]^8)/1680 - 
   (109*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (233351*S[2, Infinity]^4)/392000 + 
   ((75*S[-1, Infinity]^2)/224 + (1433*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((61*S[-1, Infinity]^3)/192 - 
     (3361*S[-1, Infinity]*S[2, Infinity])/448 - (48777*S[3, Infinity])/3584)*
    S[5, Infinity] + (87609*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/3360 - 
     (59*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((479*S[-1, Infinity]^5)/6720 - 
     (241*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3713*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (215*S[-1, 1, 1, 1, 1, Infinity])/28) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((29*S[-1, Infinity]^6)/720 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(45*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(83*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (19520*S[-7, -1, Infinity] - 10211*S[5, 3, Infinity] - 
     14720*S[-5, -1, -1, -1, Infinity] + 6880*S[-5, -1, 1, 1, Infinity] - 
     20160*S[-1, 1, 1, 1, Infinity]^2 - 58240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, 1, 1, -1, -2, 1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/20160 - (11*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (21677*S[2, Infinity]^4)/22400 + 
   ((-87*S[-1, Infinity]^2)/224 + (129*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((407*S[-1, Infinity]^3)/192 + 
     (1017*S[-1, Infinity]*S[2, Infinity])/448 - (8173*S[3, Infinity])/1024)*
    S[5, Infinity] - (7599*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/80 - (9*S[-1, 1, 1, 1, Infinity])/
      40) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/960 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (423*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-11*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (8000*S[-7, -1, Infinity] - 1207*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     2048*S[-1, 1, 1, 1, Infinity]^2 - 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-1, 1, 1, 1, -1, -2, -1, Infinity] -> 
  (-79*S[-1, Infinity]^8)/20160 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (802471*S[2, Infinity]^4)/784000 + 
   ((-447*S[-1, Infinity]^2)/896 - (1585*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((407*S[-1, Infinity]^3)/192 + 
     (1401*S[-1, Infinity]*S[2, Infinity])/448 - (27053*S[3, Infinity])/7168)*
    S[5, Infinity] - (7599*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((149*S[-1, Infinity]^4)/1120 - 
     (153*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/1344 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1269*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (135*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (23*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (200000*S[-7, -1, Infinity] + 29489*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 1, -2, 1, 1, Infinity] -> 
  (-89*S[-1, Infinity]^8)/40320 - (81*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (109171*S[2, Infinity]^4)/196000 + 
   ((-515*S[-1, Infinity]^2)/1792 + (1983*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/64 - 
     (2977*S[-1, Infinity]*S[2, Infinity])/448 - (4359*S[3, Infinity])/3584)*
    S[5, Infinity] - (155*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/2240 - 
     (283*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (3*(23680*S[-7, -1, Infinity] + 9859*S[5, 3, Infinity] + 
      11520*S[-5, -1, -1, -1, Infinity] - 7040*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2))/17920 + 
   S[3, Infinity]*((131*S[-1, Infinity]^5)/2240 - 
     (281*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3177*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (113*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(17*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-125*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2, 
 S[-1, 1, 1, 1, -2, 1, -1, Infinity] -> (-3*S[-1, Infinity]^8)/1120 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + (565433*S[2, Infinity]^4)/
    784000 + ((-109*S[-1, Infinity]^2)/896 + (725*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/64 - 
     (4561*S[-1, Infinity]*S[2, Infinity])/448 - (9141*S[3, Infinity])/7168)*
    S[5, Infinity] - (155*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((643*S[-1, Infinity]^4)/6720 - 
     (181*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/560 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (18549*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (261*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (401*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(101*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-1048000*S[-7, -1, Infinity] - 157837*S[5, 3, Infinity] - 
     111360*S[-5, -1, -1, -1, Infinity] - 76800*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 680960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 1, -2, -1, 1, Infinity] -> 
  (-73*S[-1, Infinity]^8)/40320 - (1349*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (668497*S[2, Infinity]^4)/784000 + 
   ((-719*S[-1, Infinity]^2)/448 - (37*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((153*S[-1, Infinity]^3)/64 + (4925*S[-1, Infinity]*S[2, Infinity])/448 + 
     (5395*S[3, Infinity])/3584)*S[5, Infinity] - 
   (158127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2159*S[-1, Infinity]^4)/6720 - 
     (263*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/70 + 
     (79*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2071*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (309*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-435*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(9*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (13070*S[-7, -1, Infinity] + 1887*S[5, 3, Infinity] + 
     1080*S[-5, -1, -1, -1, Infinity] + 1300*S[-5, -1, 1, 1, Infinity] + 
     840*S[-1, 1, 1, 1, Infinity]^2 - 3360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[-1, 1, 1, 1, -2, -1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/20160 - (893*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (1396917*S[2, Infinity]^4)/784000 + 
   ((-2939*S[-1, Infinity]^2)/1792 - (3495*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((153*S[-1, Infinity]^3)/64 + 
     (5261*S[-1, Infinity]*S[2, Infinity])/448 + (20737*S[3, Infinity])/7168)*
    S[5, Infinity] - (158127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-517*S[-1, Infinity]^4)/1680 - 
     (207*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/2240 + 
     (337*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (17807*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (477*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(11*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-333*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1228480*S[-7, -1, Infinity] + 160423*S[5, 3, Infinity] + 
     78080*S[-5, -1, -1, -1, Infinity] + 101120*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 1182720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, 2, 1, 1, Infinity] -> 
  (-229*S[-1, Infinity]^8)/40320 - (233*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (4273*S[2, Infinity]^4)/4900 + 
   ((-1083*S[-1, Infinity]^2)/1792 + (8531*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((19*S[-1, Infinity]^3)/12 - 
     (4605*S[-1, Infinity]*S[2, Infinity])/448 - (81225*S[3, Infinity])/7168)*
    S[5, Infinity] - (82703*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-619*S[-1, Infinity]^4)/6720 - 
     (75*S[-1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((191*S[-1, Infinity]^5)/2240 - 
     (517*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (18573*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (48*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(23*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((89*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-85*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-101952*S[-7, -1, Infinity] - 22521*S[5, 3, Infinity] - 
     20224*S[-5, -1, -1, -1, Infinity] + 2304*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, Infinity]^2 + 7168*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, 1, -1, 2, 1, -1, Infinity] -> 
  (-143*S[-1, Infinity]^8)/40320 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (287419*S[2, Infinity]^4)/784000 + 
   ((-325*S[-1, Infinity]^2)/1792 + (4771*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((19*S[-1, Infinity]^3)/12 - 
     (4989*S[-1, Infinity]*S[2, Infinity])/448 + (23549*S[3, Infinity])/7168)*
    S[5, Infinity] - (82703*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((347*S[-1, Infinity]^4)/1344 - 
     (223*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((101*S[-1, Infinity]^5)/2240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (3351*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (695*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(25*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1531840*S[-7, -1, Infinity] - 165439*S[5, 3, Infinity] - 
     111360*S[-5, -1, -1, -1, Infinity] - 139520*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, 2, -1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/13440 - (1977*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (49821*S[2, Infinity]^4)/12250 + 
   ((895*S[-1, Infinity]^2)/1792 - (7071*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-37*S[-1, Infinity]^3)/192 - 
     (1345*S[-1, Infinity]*S[2, Infinity])/112 + (419*S[3, Infinity])/3584)*
    S[5, Infinity] + (246011*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-715*S[-1, Infinity]^4)/1344 - 
     (387*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-237*S[-1, Infinity]^5)/2240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (121*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (3*S[-1, Infinity]^2*(16*S[-5, -1, Infinity] - 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((67*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1201*S[-5, -1, Infinity] + 588*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 85*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(307520*S[-7, -1, Infinity] + 46331*S[5, 3, Infinity] + 
      10240*S[-5, -1, -1, -1, Infinity] + 39040*S[-5, -1, 1, 1, Infinity] - 
      268800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, 1, 1, -1, 2, -1, -1, Infinity] -> (-19*S[-1, Infinity]^8)/4480 - 
   (837*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2698419*S[2, Infinity]^4)/784000 + 
   ((-107*S[-1, Infinity]^2)/256 + (7583*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-37*S[-1, Infinity]^3)/192 - 
     (271*S[-1, Infinity]*S[2, Infinity])/16 - (95933*S[3, Infinity])/3584)*
    S[5, Infinity] + (246011*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-4813*S[-1, Infinity]^4)/6720 - 
     (223*S[-1, 1, 1, 1, Infinity])/70) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(S[-1, Infinity]^5/448 - 
     (869*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (179*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (101*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(17*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((157*S[-1, Infinity]^6)/1440 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-997*S[-5, -1, Infinity] + 546*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 85*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1342400*S[-7, -1, Infinity] + 81513*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 160000*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, -1, 1, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/2240 + (1431*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (80307*S[2, Infinity]^4)/24500 + ((6063*S[-1, Infinity]^2)/1792 - 
     (14405*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-505*S[-1, Infinity]^3)/64 + (2083*S[-1, Infinity]*S[2, Infinity])/448 + 
     (152623*S[3, Infinity])/7168)*S[5, Infinity] + 
   (56449*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/840 - 
     (411*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/1680 + 
     (383*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (6913*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (495*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-145*S[-5, -1, Infinity] - 
      154*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-593*S[-5, -1, Infinity] + 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(127*S[-5, 1, 1, Infinity] - 104*S[5, -1, -1, Infinity] - 
      504*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2220480*S[-7, -1, Infinity] + 413691*S[5, 3, Infinity] + 
     198400*S[-5, -1, -1, -1, Infinity] + 276480*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 1039360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, 1, 2, -1, Infinity] -> 
  (31*S[-1, Infinity]^8)/40320 + (723*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (312847*S[2, Infinity]^4)/78400 + 
   ((6585*S[-1, Infinity]^2)/1792 - (8219*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-505*S[-1, Infinity]^3)/64 - 
     (253*S[-1, Infinity]*S[2, Infinity])/56 + (89829*S[3, Infinity])/7168)*
    S[5, Infinity] + (56449*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-221*S[-1, Infinity]^4)/2240 - 
     (177*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-373*S[-1, Infinity]^5)/3360 + 
     (347*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (27813*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (253*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-58*S[-5, -1, Infinity] - 
      77*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1761*S[-5, -1, Infinity] + 308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(127*S[-5, 1, 1, Infinity] - 104*S[5, -1, -1, Infinity] - 
      504*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (515520*S[-7, -1, Infinity] + 59317*S[5, 3, Infinity] + 
     24832*S[-5, -1, -1, -1, Infinity] + 79104*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 301056*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, 1, -1, 1, 1, 2, Infinity] -> 
  (-3*S[-1, Infinity]^8)/2240 - (2249*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (135607*S[2, Infinity]^4)/78400 + 
   ((-1685*S[-1, Infinity]^2)/896 + (8943*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((191*S[-1, Infinity]^3)/32 - 
     (8335*S[-1, Infinity]*S[2, Infinity])/448 - (64623*S[3, Infinity])/3584)*
    S[5, Infinity] - (214773*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/1120 + 
     (16*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((781*S[-1, Infinity]^5)/6720 - 
     (767*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (20827*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (401*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (513*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(-61*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-89*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-250816*S[-7, -1, Infinity] - 47001*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 18944*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2 + 96768*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, 1, 1, -1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/840 - (443*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (787811*S[2, Infinity]^4)/784000 + 
   ((-3847*S[-1, Infinity]^2)/1792 + (11177*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((191*S[-1, Infinity]^3)/32 - 
     (1117*S[-1, Infinity]*S[2, Infinity])/112 - (34059*S[3, Infinity])/7168)*
    S[5, Infinity] - (214773*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/3360 + 
     (31*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((311*S[-1, Infinity]^5)/3360 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (30593*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (643*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (577*S[-5, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(313*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-89*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2315200*S[-7, -1, Infinity] - 322199*S[5, 3, Infinity] - 
     226560*S[-5, -1, -1, -1, Infinity] - 239360*S[-5, -1, 1, 1, Infinity] + 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, -1, 1, -1, 2, Infinity] -> (13*S[-1, Infinity]^8)/40320 - 
   (753*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2975897*S[2, Infinity]^4)/1176000 + 
   ((-4309*S[-1, Infinity]^2)/1792 + (18569*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((537*S[-1, Infinity]^3)/64 - 
     (5541*S[-1, Infinity]*S[2, Infinity])/896 - (50577*S[3, Infinity])/3584)*
    S[5, Infinity] - (177327*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-25*S[-1, Infinity]^4)/336 + 
     (313*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((233*S[-1, Infinity]^5)/2240 - 
     (325*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (243*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (76*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/1440 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1427*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(-109*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-103*S[-5, 1, 1, Infinity] + 
      170*S[5, -1, -1, Infinity] + 504*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-716000*S[-7, -1, Infinity] - 135533*S[5, 3, Infinity] - 
     85760*S[-5, -1, -1, -1, Infinity] - 64320*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 295680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, 1, -1, 1, -1, -2, Infinity] -> 
  S[-1, Infinity]^8/2520 - (1941*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (132529*S[2, Infinity]^4)/588000 + 
   ((-479*S[-1, Infinity]^2)/224 + (2367*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((537*S[-1, Infinity]^3)/64 - 
     (6963*S[-1, Infinity]*S[2, Infinity])/448 - (57713*S[3, Infinity])/7168)*
    S[5, Infinity] - (177327*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/1120 + 
     (137*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((237*S[-1, Infinity]^5)/2240 - (809*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (41577*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (155*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(71*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(95*S[-5, -1, Infinity] + 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-103*S[-5, 1, 1, Infinity] + 
      170*S[5, -1, -1, Infinity] + 504*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-3056960*S[-7, -1, Infinity] - 493593*S[5, 3, Infinity] - 
     410880*S[-5, -1, -1, -1, Infinity] - 207360*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, 1, -2, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/13440 + (593*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (9193*S[2, Infinity]^4)/112000 + 
   ((417*S[-1, Infinity]^2)/448 - (163*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-1267*S[-1, Infinity]^3)/192 + (7659*S[-1, Infinity]*S[2, Infinity])/
      448 + (2043*S[3, Infinity])/128)*S[5, Infinity] + 
   (42227*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/320 - 
     (3*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/960 + 
     (79*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (4499*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-109*S[-5, -1, Infinity] - 20*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-321*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 72*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (73760*S[-7, -1, Infinity] + 15947*S[5, 3, Infinity] + 
     13440*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     6400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[-1, 1, 1, -1, 1, -2, -1, Infinity] -> S[-1, Infinity]^8/960 + 
   (1077*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (400993*S[2, Infinity]^4)/156800 + 
   ((447*S[-1, Infinity]^2)/896 - (1469*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-1267*S[-1, Infinity]^3)/192 + 
     (6555*S[-1, Infinity]*S[2, Infinity])/224 + (59747*S[3, Infinity])/3584)*
    S[5, Infinity] + (42227*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((523*S[-1, Infinity]^4)/3360 - 
     (19*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-517*S[-1, Infinity]^5)/6720 + 
     (479*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (11827*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (241*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-47*S[-5, -1, Infinity] - 
       119*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-407*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 72*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (182464*S[-7, -1, Infinity] + 44549*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 2432*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-1, 1, 1, -1, -1, 2, 1, Infinity] -> (9*S[-1, Infinity]^8)/2240 + 
   (1313*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (5697*S[2, Infinity]^4)/49000 + ((39*S[-1, Infinity]^2)/28 - 
     (607*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-1267*S[-1, Infinity]^3)/192 + (7653*S[-1, Infinity]*S[2, Infinity])/
      448 + (17747*S[3, Infinity])/896)*S[5, Infinity] + 
   (73889*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((601*S[-1, Infinity]^4)/3360 - 
     (89*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-223*S[-1, Infinity]^5)/1680 + 
     (101*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1887*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (87*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-787*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(109*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (15930*S[-7, -1, Infinity] + 3541*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] + 900*S[-5, -1, 1, 1, Infinity] + 
     560*S[-1, 1, 1, 1, Infinity]^2 - 1120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/280, S[-1, 1, 1, -1, -1, 2, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/960 + (1613*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (408771*S[2, Infinity]^4)/784000 + 
   ((51*S[-1, Infinity]^2)/32 - (3921*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-1267*S[-1, Infinity]^3)/192 + (1203*S[-1, Infinity]*S[2, Infinity])/
      64 + (95917*S[3, Infinity])/3584)*S[5, Infinity] + 
   (73889*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-593*S[-1, Infinity]^4)/1680 + 
     (43*S[-1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/84 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (747*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (291*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-38*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (928320*S[-7, -1, Infinity] + 180653*S[5, 3, Infinity] + 
     158720*S[-5, -1, -1, -1, Infinity] + 96640*S[-5, -1, 1, 1, Infinity] + 
     116480*S[-1, 1, 1, 1, Infinity]^2 + 197120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, -1, -1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/560 - (887*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1202063*S[2, Infinity]^4)/784000 + 
   ((-1411*S[-1, Infinity]^2)/1792 + (8555*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((263*S[-1, Infinity]^3)/96 - 
     (1835*S[-1, Infinity]*S[2, Infinity])/224 + (5849*S[3, Infinity])/1792)*
    S[5, Infinity] - (249107*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/560 + 
     (169*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((33*S[-1, Infinity]^5)/560 - 
     (389*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2831*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (127*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + (74*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(26*S[-5, -1, Infinity] + 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 39*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-922560*S[-7, -1, Infinity] - 139861*S[5, 3, Infinity] - 
     84480*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, -1, -1, 1, -2, Infinity] -> 
  (41*S[-1, Infinity]^8)/6720 - (107*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (172933*S[2, Infinity]^4)/196000 + 
   ((-517*S[-1, Infinity]^2)/448 + (247*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((263*S[-1, Infinity]^3)/96 - 
     (1427*S[-1, Infinity]*S[2, Infinity])/224 + (69343*S[3, Infinity])/7168)*
    S[5, Infinity] - (249107*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/1680 + 
     (319*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(S[-1, Infinity]^5/224 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (9139*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (71*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/360 + 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (291*S[-5, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (5*S[-1, Infinity]^2*(-27*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 39*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2096320*S[-7, -1, Infinity] - 140267*S[5, 3, Infinity] - 
     75520*S[-5, -1, -1, -1, Infinity] - 229120*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2 + 1182720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/1120 - (393*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1054853*S[2, Infinity]^4)/588000 + 
   ((-1921*S[-1, Infinity]^2)/896 + (1921*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((263*S[-1, Infinity]^3)/96 - 
     (27*S[-1, Infinity]*S[2, Infinity])/14 - (11691*S[3, Infinity])/3584)*
    S[5, Infinity] - (72145*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((281*S[-1, Infinity]^4)/3360 + 
     (54*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((139*S[-1, Infinity]^5)/1680 - (15*S[-1, Infinity]^3*S[2, Infinity])/
      28 - (7991*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (719*S[-5, -1, Infinity] - 294*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(43*S[-5, -1, Infinity] + 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-75*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] + 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-999360*S[-7, -1, Infinity] - 101303*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] - 138240*S[-5, -1, 1, 1, Infinity] + 
     573440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, 1, -1, -1, -1, -2, Infinity] -> (11*S[-1, Infinity]^8)/13440 - 
   (1263*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1970299*S[2, Infinity]^4)/1176000 + 
   ((-455*S[-1, Infinity]^2)/256 + (6163*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((263*S[-1, Infinity]^3)/96 - 
     (1317*S[-1, Infinity]*S[2, Infinity])/128 + (9659*S[3, Infinity])/7168)*
    S[5, Infinity] - (72145*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/1680 + 
     (129*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((481*S[-1, Infinity]^5)/6720 - 
     (193*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (3961*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (537*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (677*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(35*S[-5, -1, Infinity] + 
      36*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-75*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] + 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1747520*S[-7, -1, Infinity] - 201879*S[5, 3, Infinity] - 
     121600*S[-5, -1, -1, -1, Infinity] - 165120*S[-5, -1, 1, 1, Infinity] + 
     1254400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, -1, -1, -2, 1, Infinity] -> (-33*S[-1, Infinity]^8)/4480 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (2323143*S[2, Infinity]^4)/
    784000 + ((3033*S[-1, Infinity]^2)/1792 - (14023*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-29*S[-1, Infinity]^3)/3 - 
     (2071*S[-1, Infinity]*S[2, Infinity])/448 + (18133*S[3, Infinity])/7168)*
    S[5, Infinity] + (205283*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-169*S[-1, Infinity]^4)/2240 - 
     (653*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((293*S[-1, Infinity]^5)/6720 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (21019*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (155*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/160 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(115*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-251*S[-5, -1, Infinity] - 
      504*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      175*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (2608320*S[-7, -1, Infinity] + 525767*S[5, 3, Infinity] + 
     346880*S[-5, -1, -1, -1, Infinity] + 226560*S[-5, -1, 1, 1, Infinity] - 
     232960*S[-1, 1, 1, 1, Infinity]^2 - 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, -1, -2, -1, Infinity] -> 
  (-389*S[-1, Infinity]^8)/40320 - (269*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (276309*S[2, Infinity]^4)/78400 + 
   ((2421*S[-1, Infinity]^2)/1792 - (20059*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-29*S[-1, Infinity]^3)/3 - 
     (1495*S[-1, Infinity]*S[2, Infinity])/448 + (19991*S[3, Infinity])/7168)*
    S[5, Infinity] + (205283*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((3487*S[-1, Infinity]^4)/6720 - 
     (1807*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((481*S[-1, Infinity]^5)/6720 + 
     (653*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (22667*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/56) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(-319*S[-5, -1, Infinity] - 
      504*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1255*S[-5, -1, Infinity] + 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      175*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (581440*S[-7, -1, Infinity] + 111149*S[5, 3, Infinity] + 
     86784*S[-5, -1, -1, -1, Infinity] + 36864*S[-5, -1, 1, 1, Infinity] - 
     57344*S[-1, 1, 1, 1, Infinity]^2 - 351232*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, 1, -1, -2, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/20160 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (801971*S[2, Infinity]^4)/392000 + 
   ((-449*S[-1, Infinity]^2)/1792 + (1689*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-347*S[-1, Infinity]^3)/192 - 
     (1719*S[-1, Infinity]*S[2, Infinity])/448 + (27673*S[3, Infinity])/3584)*
    S[5, Infinity] - (58691*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/1120 + 
     (193*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/1680 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (3671*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (67*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(89*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(59*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-105120*S[-7, -1, Infinity] - 8761*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[-1, 1, 1, -1, -2, 1, -1, Infinity] -> S[-1, Infinity]^8/1260 - 
   (173*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (416231*S[2, Infinity]^4)/156800 + 
   ((291*S[-1, Infinity]^2)/1792 + (7507*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-347*S[-1, Infinity]^3)/192 - 
     (2007*S[-1, Infinity]*S[2, Infinity])/448 - (15971*S[3, Infinity])/3584)*
    S[5, Infinity] - (58691*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-271*S[-1, Infinity]^4)/1680 + 
     (39*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/1120 - (165*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (2389*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(65*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-107*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4624*S[-7, -1, Infinity] - 905*S[5, 3, Infinity] - 
     288*S[-5, -1, -1, -1, Infinity] - 832*S[-5, -1, 1, 1, Infinity] + 
     224*S[-1, 1, 1, 1, Infinity]^2 + 2240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/448, S[-1, 1, 1, -1, -2, -1, 1, Infinity] -> 
  (61*S[-1, Infinity]^8)/40320 + (1339*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (3661789*S[2, Infinity]^4)/784000 + 
   ((-459*S[-1, Infinity]^2)/128 + (4315*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((463*S[-1, Infinity]^3)/64 + 
     (425*S[-1, Infinity]*S[2, Infinity])/64 + (36629*S[3, Infinity])/7168)*
    S[5, Infinity] - (482781*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((1661*S[-1, Infinity]^4)/6720 + 
     (433*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((33*S[-1, Infinity]^5)/224 - 
     (563*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (791*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1025*S[-1, 1, 1, 1, 1, Infinity])/56) - 3*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-31*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(26*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      40*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   (3*S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3667520*S[-7, -1, Infinity] - 320521*S[5, 3, Infinity] - 
     144640*S[-5, -1, -1, -1, Infinity] - 375040*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, -2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/13440 + (911*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (340769*S[2, Infinity]^4)/56000 + ((-2013*S[-1, Infinity]^2)/448 + 
     (837*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((463*S[-1, Infinity]^3)/64 + (671*S[-1, Infinity]*S[2, Infinity])/448 + 
     (10517*S[3, Infinity])/1024)*S[5, Infinity] - 
   (482781*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((509*S[-1, Infinity]^4)/960 + 
     (123*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/48 - (47*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (37749*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (139*S[-1, 1, 1, 1, 1, Infinity])/8) - 3*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((-71*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(77*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (3*S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-706880*S[-7, -1, Infinity] - 82997*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 76800*S[-5, -1, 1, 1, Infinity] + 
     527360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, 1, 1, -2, 1, 1, 1, Infinity] -> (11*S[-1, Infinity]^8)/2688 - 
   (93*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (186981*S[2, Infinity]^4)/
    784000 + ((789*S[-1, Infinity]^2)/896 + (639*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((97*S[-1, Infinity]^3)/192 - 
     (2977*S[-1, Infinity]*S[2, Infinity])/448 - (5883*S[3, Infinity])/7168)*
    S[5, Infinity] - (563*S[-1, Infinity]*S[7, Infinity])/64 + 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((79*S[-1, Infinity]^4)/1344 + 
     (5*S[-1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/2240 + 
     (55*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (8697*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (53*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-614720*S[-7, -1, Infinity] - 132759*S[5, 3, Infinity] - 
     113920*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -2, 1, 1, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/8064 - (57*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (568599*S[2, Infinity]^4)/784000 + 
   ((789*S[-1, Infinity]^2)/896 + (639*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((97*S[-1, Infinity]^3)/192 - 
     (2977*S[-1, Infinity]*S[2, Infinity])/448 - (3699*S[3, Infinity])/7168)*
    S[5, Infinity] - (563*S[-1, Infinity]*S[7, Infinity])/64 + 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((563*S[-1, Infinity]^4)/6720 + 
     (333*S[-1, 1, 1, 1, Infinity])/280) + 
   (-417600*S[-7, -1, Infinity] - 113999*S[5, 3, Infinity] - 
     113920*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/2240 + 
     (55*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (8697*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 - (3*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2, 
 S[-1, 1, 1, -2, 1, -1, 1, Infinity] -> (19*S[-1, Infinity]^8)/5760 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + (987367*S[2, Infinity]^4)/
    392000 + ((1039*S[-1, Infinity]^2)/224 + (13319*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1883*S[-1, Infinity]^3)/384 - 
     (43621*S[-1, Infinity]*S[2, Infinity])/896 - (91085*S[3, Infinity])/
      7168)*S[5, Infinity] + (67773*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((5209*S[-1, Infinity]^4)/6720 + 
     (727*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((461*S[-1, Infinity]^5)/3360 - 
     (1027*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (67217*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1041*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-107*S[-1, Infinity]^6)/1440 + (1853*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4269760*S[-7, -1, Infinity] - 675401*S[5, 3, Infinity] - 
     497920*S[-5, -1, -1, -1, Infinity] - 380160*S[-5, -1, 1, 1, Infinity] + 
     1756160*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, -2, 1, -1, -1, Infinity] -> (13*S[-1, Infinity]^8)/40320 + 
   (333*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (3699861*S[2, Infinity]^4)/784000 + 
   ((8195*S[-1, Infinity]^2)/1792 + (27435*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1883*S[-1, Infinity]^3)/384 - 
     (42373*S[-1, Infinity]*S[2, Infinity])/896 - (39961*S[3, Infinity])/
      3584)*S[5, Infinity] + (67773*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (279*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((4399*S[-1, Infinity]^4)/6720 + 
     (949*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((431*S[-1, Infinity]^5)/3360 - 
     (247*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1013*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (981*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-107*S[-1, Infinity]^6)/1440 + (2045*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2337920*S[-7, -1, Infinity] - 368237*S[5, 3, Infinity] - 
     240640*S[-5, -1, -1, -1, Infinity] - 216320*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 1146880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, -2, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/336 + (239*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (5311939*S[2, Infinity]^4)/784000 + 
   ((-2615*S[-1, Infinity]^2)/896 - (3135*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-71*S[-1, Infinity]^3)/64 + 
     (31951*S[-1, Infinity]*S[2, Infinity])/448 + (174297*S[3, Infinity])/
      7168)*S[5, Infinity] + (192189*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2291*S[-1, Infinity]^4)/3360 - 
     (593*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-34*S[-1, Infinity]^5)/105 + 
     (1931*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (121647*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (2127*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-739*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/360 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-908*S[-5, -1, Infinity] + 49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (8434880*S[-7, -1, Infinity] + 1294331*S[5, 3, Infinity] + 
     907520*S[-5, -1, -1, -1, Infinity] + 759040*S[-5, -1, 1, 1, Infinity] - 
     4157440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, -2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/336 + 
   (923*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4983577*S[2, Infinity]^4)/784000 + 
   ((-697*S[-1, Infinity]^2)/256 - (50479*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-71*S[-1, Infinity]^3)/64 + 
     (4297*S[-1, Infinity]*S[2, Infinity])/64 + (93525*S[3, Infinity])/3584)*
    S[5, Infinity] + (192189*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-421*S[-1, Infinity]^4)/672 - 
     (611*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-239*S[-1, Infinity]^5)/840 + 
     (907*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (4077*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (1863*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/360 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-3067*S[-5, -1, Infinity] - 700*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-25*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (949600*S[-7, -1, Infinity] + 153241*S[5, 3, Infinity] + 
     107200*S[-5, -1, -1, -1, Infinity] + 88800*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2 - 362880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, 1, -2, -1, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/40320 - (1807*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1699177*S[2, Infinity]^4)/156800 + 
   ((-4701*S[-1, Infinity]^2)/896 - (3799*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((1279*S[-1, Infinity]^3)/384 + 
     (83327*S[-1, Infinity]*S[2, Infinity])/896 + (204317*S[3, Infinity])/
      7168)*S[5, Infinity] - (2601*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-6763*S[-1, Infinity]^4)/6720 - 
     (375*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1273*S[-1, Infinity]^5)/3360 + 
     (1231*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (151313*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2679*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/96 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-4149*S[-5, -1, Infinity] - 364*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-359*S[-5, -1, Infinity] - 
      98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (2036672*S[-7, -1, Infinity] + 313499*S[5, 3, Infinity] + 
     203520*S[-5, -1, -1, -1, Infinity] + 183552*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 1060864*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, 1, -2, -1, -1, -1, Infinity] -> 
  (-97*S[-1, Infinity]^8)/40320 - (4*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - 
   (2014941*S[2, Infinity]^4)/196000 + 
   ((-1317*S[-1, Infinity]^2)/224 - (32009*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1279*S[-1, Infinity]^3)/384 + 
     (95423*S[-1, Infinity]*S[2, Infinity])/896 + (183065*S[3, Infinity])/
      7168)*S[5, Infinity] - (2601*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-8821*S[-1, Infinity]^4)/6720 - 
     (333*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (3*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1483*S[-1, Infinity]^5)/3360 + 
     (355*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (173783*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (3099*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-211*S[-5, -1, Infinity] - 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/32 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2617*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (11903680*S[-7, -1, Infinity] + 1752211*S[5, 3, Infinity] + 
     1178880*S[-5, -1, -1, -1, Infinity] + 
     1088000*S[-5, -1, 1, 1, Infinity] - 6200320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 2, 1, 1, 1, Infinity] -> 
  (-65*S[-1, Infinity]^8)/8064 - (5*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (800987*S[2, Infinity]^4)/784000 + 
   ((-1321*S[-1, Infinity]^2)/896 - (599*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-61*S[-1, Infinity]^3)/48 - 
     (3449*S[-1, Infinity]*S[2, Infinity])/448 + (7909*S[3, Infinity])/3584)*
    S[5, Infinity] + (150995*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-607*S[-1, Infinity]^4)/6720 - 
     (233*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((1417*S[-1, Infinity]^5)/6720 - 
     (787*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (393*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(93*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (61*S[-5, -1, Infinity] + 154*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-60800*S[-7, -1, Infinity] + 7211*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -1, 2, 1, 1, -1, Infinity] -> 
  (-25*S[-1, Infinity]^8)/4032 - (1097*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1940473*S[2, Infinity]^4)/784000 + 
   ((-1915*S[-1, Infinity]^2)/896 - (3445*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-61*S[-1, Infinity]^3)/48 + 
     (2887*S[-1, Infinity]*S[2, Infinity])/448 - (25587*S[3, Infinity])/3584)*
    S[5, Infinity] + (150995*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/112 - (387*S[-1, 1, 1, 1, Infinity])/
      140) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((257*S[-1, Infinity]^5)/1680 - 
     (121*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (3033*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((61*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-39*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (436160*S[-7, -1, Infinity] + 90799*S[5, 3, Infinity] + 
     97280*S[-5, -1, -1, -1, Infinity] - 30080*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -1, 2, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/2240 + (107*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (1263191*S[2, Infinity]^4)/784000 + 
   ((3131*S[-1, Infinity]^2)/256 + (2971*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-635*S[-1, Infinity]^3)/24 - 
     (2065*S[-1, Infinity]*S[2, Infinity])/64 - (135829*S[3, Infinity])/7168)*
    S[5, Infinity] + (835367*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((149*S[-1, Infinity]^4)/112 - 
     (207*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/6720 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (361*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (67*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-19*S[-5, -1, Infinity] - 
      23*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/8 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-179*S[-5, -1, Infinity] + 161*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(387*S[-5, 1, 1, Infinity] - 383*S[5, -1, -1, Infinity] - 
      1512*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(473280*S[-7, -1, Infinity] + 28257*S[5, 3, Infinity] + 
      37120*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] - 
      358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, 1, -1, 2, 1, -1, -1, Infinity] -> (-23*S[-1, Infinity]^8)/4480 + 
   (1873*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1809*S[2, Infinity]^4)/156800 + ((11269*S[-1, Infinity]^2)/896 - 
     (1349*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-635*S[-1, Infinity]^3)/24 - (17767*S[-1, Infinity]*S[2, Infinity])/
      448 + (37069*S[3, Infinity])/3584)*S[5, Infinity] + 
   (835367*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1537*S[-1, Infinity]^4)/1344 + 
     (183*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/672 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1579*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-463*S[-5, -1, Infinity] - 
      644*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-143*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-153*S[-5, -1, Infinity] + 434*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(387*S[-5, 1, 1, Infinity] - 383*S[5, -1, -1, Infinity] - 
      1512*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(8000*S[-7, -1, Infinity] + 3937*S[5, 3, Infinity] + 
      768*S[-5, -1, -1, -1, Infinity] + 128*S[-5, -1, 1, 1, Infinity] - 
      17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/3584, 
 S[-1, 1, -1, 2, -1, 1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/2688 + 
   (1963*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (152623*S[2, Infinity]^4)/28000 + ((-5853*S[-1, Infinity]^2)/1792 - 
     (4229*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((2891*S[-1, Infinity]^3)/384 + (60311*S[-1, Infinity]*S[2, Infinity])/
      896 + (35485*S[3, Infinity])/1024)*S[5, Infinity] - 
   (280297*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-203*S[-1, Infinity]^4)/320 - 
     (33*S[-1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/192 + 
     (109*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (99093*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-431*S[-5, -1, Infinity] - 72*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (9*S[-1, Infinity]^2*(65*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 127*S[5, -1, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (758720*S[-7, -1, Infinity] + 114763*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 102400*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, 1, -1, 2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/1008 + 
   (257*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (2922327*S[2, Infinity]^4)/392000 + 
   ((-1317*S[-1, Infinity]^2)/448 - (2619*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((2891*S[-1, Infinity]^3)/384 + 
     (54071*S[-1, Infinity]*S[2, Infinity])/896 + (61967*S[3, Infinity])/896)*
    S[5, Infinity] - (280297*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (3*(581440*S[-7, -1, Infinity] + 126801*S[5, 3, Infinity] + 
      65280*S[-5, -1, -1, -1, Infinity] + 96000*S[-5, -1, 1, 1, Infinity]))/
    17920 + S[2, Infinity]^2*((-853*S[-1, Infinity]^4)/1680 - 
     (45*S[-1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-443*S[-1, Infinity]^5)/1680 + 
     (1033*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (21757*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (443*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-865*S[-5, -1, Infinity] - 
       588*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-65*S[-5, -1, Infinity] + 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 127*S[5, -1, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, 1, -1, 2, -1, -1, 1, Infinity] -> (71*S[-1, Infinity]^8)/13440 - 
   (8429*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (203909*S[2, Infinity]^4)/98000 + ((-19095*S[-1, Infinity]^2)/896 - 
     (887*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((17647*S[-1, Infinity]^3)/384 + (66103*S[-1, Infinity]*S[2, Infinity])/
      896 - (22557*S[3, Infinity])/3584)*S[5, Infinity] - 
   (1529839*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-8653*S[-1, Infinity]^4)/6720 - 
     (25*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/420 - 
     (289*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6117*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (109*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1507*S[-5, -1, Infinity] - 1512*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(361*S[-5, -1, Infinity] + 
      588*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-573*S[-5, 1, 1, Infinity] + 
      757*S[5, -1, -1, Infinity] + 2604*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-610240*S[-7, -1, Infinity] - 143651*S[5, 3, Infinity] - 
     87040*S[-5, -1, -1, -1, Infinity] - 60800*S[-5, -1, 1, 1, Infinity] + 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, 2, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/1440 - 
   (1315*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (417839*S[2, Infinity]^4)/196000 + 
   ((-5001*S[-1, Infinity]^2)/224 - (1551*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((17647*S[-1, Infinity]^3)/384 + 
     (85495*S[-1, Infinity]*S[2, Infinity])/896 - (13199*S[3, Infinity])/
      3584)*S[5, Infinity] - (1529839*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-731*S[-1, Infinity]^4)/420 - 
     (3*S[-1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/6720 + 
     (373*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (23959*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((67*S[-1, Infinity]^6)/720 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (97*S[-5, -1, Infinity] - 
       588*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(65*S[-5, -1, Infinity] + 
      147*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-573*S[-5, 1, 1, Infinity] + 
      757*S[5, -1, -1, Infinity] + 2604*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (3*(184000*S[-7, -1, Infinity] + 25409*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
      71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, 1, -1, 1, 2, 1, 1, Infinity] -> (311*S[-1, Infinity]^8)/40320 - 
   (67*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (184001*S[2, Infinity]^4)/
    784000 + ((-1209*S[-1, Infinity]^2)/1792 + (2909*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((123*S[-1, Infinity]^3)/32 + 
     (5573*S[-1, Infinity]*S[2, Infinity])/448 - (67535*S[3, Infinity])/7168)*
    S[5, Infinity] - (146261*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1049*S[-1, Infinity]^4)/6720 + 
     (617*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-733*S[-1, Infinity]^5)/6720 + 
     (397*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (8517*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/288 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (877*S[-5, -1, Infinity] - 560*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 99*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-622400*S[-7, -1, Infinity] - 52431*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] - 193280*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 1, 2, 1, -1, Infinity] -> 
  (73*S[-1, Infinity]^8)/10080 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + 
   (516913*S[2, Infinity]^4)/784000 + 
   ((1699*S[-1, Infinity]^2)/1792 + (22539*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((123*S[-1, Infinity]^3)/32 - 
     (10459*S[-1, Infinity]*S[2, Infinity])/448 - (169689*S[3, Infinity])/
      7168)*S[5, Infinity] - (146261*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (157*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((601*S[-1, Infinity]^4)/1344 + 
     (957*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((39*S[-1, Infinity]^5)/1120 - 
     (211*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (52757*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (537*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/480 + (1641*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 99*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-1107520*S[-7, -1, Infinity] - 203179*S[5, 3, Infinity] - 
      149760*S[-5, -1, -1, -1, Infinity] - 101120*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, 1, -1, 1, 2, -1, 1, Infinity] -> 
  (41*S[-1, Infinity]^8)/20160 - (5811*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (3984669*S[2, Infinity]^4)/784000 + 
   ((-25945*S[-1, Infinity]^2)/1792 + (34921*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((271*S[-1, Infinity]^3)/8 - 
     (593*S[-1, Infinity]*S[2, Infinity])/56 - (8045*S[3, Infinity])/448)*
    S[5, Infinity] - (19447*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-1469*S[-1, Infinity]^4)/1680 + 
     (251*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((139*S[-1, Infinity]^5)/448 - (523*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (50101*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (565*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(1241*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (3*S[-1, Infinity]^2*(-201*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 35*S[5, -1, -1, Infinity] + 
      146*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-1934560*S[-7, -1, Infinity] - 280699*S[5, 3, Infinity] - 
     184320*S[-5, -1, -1, -1, Infinity] - 180800*S[-5, -1, 1, 1, Infinity] + 
     985600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 1, -1, 1, 2, -1, -1, Infinity] -> (109*S[-1, Infinity]^8)/40320 - 
   (6309*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (736929*S[2, Infinity]^4)/156800 + 
   ((-27271*S[-1, Infinity]^2)/1792 + (30061*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((271*S[-1, Infinity]^3)/8 + 
     (487*S[-1, Infinity]*S[2, Infinity])/56 - (24613*S[3, Infinity])/896)*
    S[5, Infinity] - (19447*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-6971*S[-1, Infinity]^4)/6720 + 
     (283*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((141*S[-1, Infinity]^5)/560 - 
     (409*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (7939*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (215*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(471*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(-171*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 35*S[5, -1, -1, Infinity] + 
      146*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-274304*S[-7, -1, Infinity] - 43583*S[5, 3, Infinity] - 
     25344*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] + 
     148736*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[-1, 1, -1, 1, 1, 2, 1, Infinity] -> (-107*S[-1, Infinity]^8)/40320 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (1663239*S[2, Infinity]^4)/
    784000 + ((-307*S[-1, Infinity]^2)/896 + (1905*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((13*S[-1, Infinity]^3)/128 - 
     (6319*S[-1, Infinity]*S[2, Infinity])/896 + (1087*S[3, Infinity])/448)*
    S[5, Infinity] - (2679*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-977*S[-1, Infinity]^4)/6720 - 
     (103*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/140 - 
     (45*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (3193*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (151*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(23*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((61*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-139*S[-5, -1, Infinity] + 420*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity] + 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-5510*S[-7, -1, Infinity] - 1369*S[5, 3, Infinity] - 
     520*S[-5, -1, -1, -1, Infinity] + 380*S[-5, -1, 1, 1, Infinity] - 
     840*S[-1, 1, 1, 1, Infinity]^2 + 11200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[-1, 1, -1, 1, 1, 2, -1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/13440 + (137*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (885259*S[2, Infinity]^4)/392000 + 
   ((-197*S[-1, Infinity]^2)/112 - (461*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((13*S[-1, Infinity]^3)/128 + 
     (20795*S[-1, Infinity]*S[2, Infinity])/896 + (19847*S[3, Infinity])/
      1792)*S[5, Infinity] - (2679*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-467*S[-1, Infinity]^4)/2240 - 
     (69*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(S[-1, Infinity]^5/3360 + 
     (293*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (4909*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-107*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-95*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity] + 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (422880*S[-7, -1, Infinity] + 92797*S[5, 3, Infinity] + 
     81920*S[-5, -1, -1, -1, Infinity] + 21120*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 62720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, -1, 1, 1, 1, 2, Infinity] -> 
  (17*S[-1, Infinity]^8)/20160 + (183*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (230893*S[2, Infinity]^4)/196000 + 
   ((-311*S[-1, Infinity]^2)/448 - (3163*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-343*S[-1, Infinity]^3)/384 + 
     (15955*S[-1, Infinity]*S[2, Infinity])/896 + (10313*S[3, Infinity])/
      1792)*S[5, Infinity] + (37221*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (101*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/1680 - 
     (13*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/560 + 
     (115*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (6121*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (73*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-101*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (388160*S[-7, -1, Infinity] + 74597*S[5, 3, Infinity] + 
     55040*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 1, -1, 1, 1, 1, -2, Infinity] -> (31*S[-1, Infinity]^8)/40320 + 
   (361*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (453337*S[2, Infinity]^4)/784000 + 
   ((-407*S[-1, Infinity]^2)/1792 - (5367*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-343*S[-1, Infinity]^3)/384 + 
     (5683*S[-1, Infinity]*S[2, Infinity])/896 - (12155*S[3, Infinity])/7168)*
    S[5, Infinity] + (37221*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (109*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((97*S[-1, Infinity]^4)/1680 - 
     (131*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/2240 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1403*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (181*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (-185*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (939840*S[-7, -1, Infinity] + 125233*S[5, 3, Infinity] + 
     101120*S[-5, -1, -1, -1, Infinity] + 78080*S[-5, -1, 1, 1, Infinity] - 
     537600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, 1, 1, -1, 2, Infinity] -> (-109*S[-1, Infinity]^8)/40320 + 
   (351*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (6641*S[2, Infinity]^4)/9600 + ((65*S[-1, Infinity]^2)/1792 - 
     (203*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((51*S[-1, Infinity]^3)/128 + (5189*S[-1, Infinity]*S[2, Infinity])/896 - 
     (2099*S[3, Infinity])/1024)*S[5, Infinity] - 
   (5825*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-27*S[-1, Infinity]^4)/320 + 
     (9*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/960 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (9483*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/240 - 6*S[-5, -1, Infinity] - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(37*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 38*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (18880*S[-7, -1, Infinity] + 2781*S[5, 3, Infinity] + 
     768*S[-5, -1, -1, -1, Infinity] + 2304*S[-5, -1, 1, 1, Infinity] - 
     512*S[-1, 1, 1, 1, Infinity]^2 - 12288*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-1, 1, -1, 1, 1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/40320 + (223*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (72623*S[2, Infinity]^4)/117600 + ((-193*S[-1, Infinity]^2)/448 - 
     (2719*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((51*S[-1, Infinity]^3)/128 + (21971*S[-1, Infinity]*S[2, Infinity])/896 + 
     (20897*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5825*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-809*S[-1, Infinity]^4)/6720 + 
     (263*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-419*S[-1, Infinity]^5)/6720 + 
     (377*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1377*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (185*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(-8*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(17*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 38*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (127360*S[-7, -1, Infinity] + 18243*S[5, 3, Infinity] + 
     14592*S[-5, -1, -1, -1, Infinity] + 6912*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, 1, -1, 1, 1, -2, 1, Infinity] -> 
  (97*S[-1, Infinity]^8)/40320 + (1779*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (876443*S[2, Infinity]^4)/392000 + 
   ((2461*S[-1, Infinity]^2)/896 - (2599*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-463*S[-1, Infinity]^3)/96 + 
     (753*S[-1, Infinity]*S[2, Infinity])/56 + (44147*S[3, Infinity])/7168)*
    S[5, Infinity] + (3873*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((1087*S[-1, Infinity]^4)/6720 - 
     (197*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-67*S[-1, Infinity]^5)/448 + 
     (991*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (36553*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (443*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^2*(-18*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1229*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2434240*S[-7, -1, Infinity] + 319139*S[5, 3, Infinity] + 
     195840*S[-5, -1, -1, -1, Infinity] + 270080*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 1, 1, -2, -1, Infinity] -> 
  (187*S[-1, Infinity]^8)/40320 + (209*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (1941811*S[2, Infinity]^4)/784000 + 
   ((3379*S[-1, Infinity]^2)/896 - (43*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-463*S[-1, Infinity]^3)/96 - 
     (3789*S[-1, Infinity]*S[2, Infinity])/448 + (84353*S[3, Infinity])/7168)*
    S[5, Infinity] + (3873*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((349*S[-1, Infinity]^4)/2240 - 
     (39*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-243*S[-1, Infinity]^5)/2240 + 
     (211*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5149*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (305*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-39*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-205*S[-5, -1, Infinity] + 119*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (749120*S[-7, -1, Infinity] + 78089*S[5, 3, Infinity] - 
     65280*S[-5, -1, -1, -1, Infinity] + 181760*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 752640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 1, -1, 2, 1, Infinity] -> 
  (-113*S[-1, Infinity]^8)/40320 + (143*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (252019*S[2, Infinity]^4)/156800 + 
   ((27*S[-1, Infinity]^2)/224 - (9717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-833*S[-1, Infinity]^3)/192 + 
     (101*S[-1, Infinity]*S[2, Infinity])/7 + (57361*S[3, Infinity])/7168)*
    S[5, Infinity] + (31799*S[-1, Infinity]*S[7, Infinity])/896 - 
   (235*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/1344 - 
     (43*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/1344 + 
     (239*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5085*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/480 - (687*S[-5, -1, Infinity])/
      56 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] - 130*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (434752*S[-7, -1, Infinity] + 84705*S[5, 3, Infinity] + 
     65792*S[-5, -1, -1, -1, Infinity] + 22016*S[-5, -1, 1, 1, Infinity] - 
     222208*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, -1, 1, -1, 2, -1, Infinity] -> -S[-1, Infinity]^8/315 + 
   (1139*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (89149*S[2, Infinity]^4)/49000 + ((837*S[-1, Infinity]^2)/896 + 
     (1479*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-833*S[-1, Infinity]^3)/192 - (2687*S[-1, Infinity]*S[2, Infinity])/
      896 - (111341*S[3, Infinity])/7168)*S[5, Infinity] + 
   (31799*S[-1, Infinity]*S[7, Infinity])/896 - 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/840 + 
     (47*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((149*S[-1, Infinity]^5)/6720 - (67*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (2451*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(51*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] - 130*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (685760*S[-7, -1, Infinity] + 58239*S[5, 3, Infinity] + 
     121600*S[-5, -1, -1, -1, Infinity] - 32000*S[-5, -1, 1, 1, Infinity] - 
     573440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, 1, -1, 1, 2, Infinity] -> (41*S[-1, Infinity]^8)/40320 + 
   (2173*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (51907*S[2, Infinity]^4)/39200 + ((5695*S[-1, Infinity]^2)/1792 - 
     (607*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-3815*S[-1, Infinity]^3)/384 + (2619*S[-1, Infinity]*S[2, Infinity])/
      224 + (124735*S[3, Infinity])/7168)*S[5, Infinity] + 
   (166065*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((251*S[-1, Infinity]^4)/3360 - 
     (59*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-857*S[-1, Infinity]^5)/6720 + 
     (439*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (9067*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (115*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-411*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-789*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 45*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (631360*S[-7, -1, Infinity] + 108977*S[5, 3, Infinity] + 
     79104*S[-5, -1, -1, -1, Infinity] + 57088*S[-5, -1, 1, 1, Infinity] - 
     207872*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, -1, 1, -1, 1, -2, Infinity] -> (11*S[-1, Infinity]^8)/10080 + 
   (971*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (48757*S[2, Infinity]^4)/24500 + ((187*S[-1, Infinity]^2)/64 - 
     (1535*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-3815*S[-1, Infinity]^3)/384 + (2205*S[-1, Infinity]*S[2, Infinity])/
      128 + (19067*S[3, Infinity])/896)*S[5, Infinity] + 
   (166065*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((263*S[-1, Infinity]^4)/3360 - 
     (361*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-989*S[-1, Infinity]^5)/6720 + 
     (1031*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3877*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (263*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-33*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-813*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 45*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (111640*S[-7, -1, Infinity] + 19553*S[5, 3, Infinity] + 
     14400*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, 1, -1, 1, -1, -1, 2, Infinity] -> (-131*S[-1, Infinity]^8)/40320 + 
   (217*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (29777*S[2, Infinity]^4)/22400 + ((961*S[-1, Infinity]^2)/448 - 
     (189*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-4249*S[-1, Infinity]^3)/384 + (8807*S[-1, Infinity]*S[2, Infinity])/
      896 + (351*S[3, Infinity])/32)*S[5, Infinity] + 
   (211221*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((137*S[-1, Infinity]^4)/960 - 
     (27*S[-1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/240 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (5049*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (49*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-437*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-64*S[-5, -1, Infinity] + 9*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(103*S[-5, 1, 1, Infinity] - 254*S[5, -1, -1, Infinity] - 
      476*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (53568*S[-7, -1, Infinity] + 9799*S[5, 3, Infinity] + 
     7936*S[-5, -1, -1, -1, Infinity] + 4224*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2 - 16896*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[-1, 1, -1, 1, -1, -1, -2, Infinity] -> 
  (181*S[-1, Infinity]^8)/40320 + (67*S[-1, Infinity]^2*S[2, Infinity]^3)/
    40 - (1032091*S[2, Infinity]^4)/784000 + 
   ((4303*S[-1, Infinity]^2)/1792 - (25671*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-4249*S[-1, Infinity]^3)/384 + 
     (2915*S[-1, Infinity]*S[2, Infinity])/224 + (160191*S[3, Infinity])/
      7168)*S[5, Infinity] + (211221*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((809*S[-1, Infinity]^4)/6720 - 
     (333*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-841*S[-1, Infinity]^5)/6720 + 
     (257*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (43311*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (995*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-193*S[-5, -1, Infinity] - 
      126*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-373*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(103*S[-5, 1, 1, Infinity] - 254*S[5, -1, -1, Infinity] - 
      476*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3334080*S[-7, -1, Infinity] + 605119*S[5, 3, Infinity] + 
     490240*S[-5, -1, -1, -1, Infinity] + 253440*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 1, -1, -2, 1, Infinity] -> 
  (103*S[-1, Infinity]^8)/40320 - (79*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (513111*S[2, Infinity]^4)/784000 + 
   ((-489*S[-1, Infinity]^2)/896 + (3193*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((535*S[-1, Infinity]^3)/384 - 
     (10687*S[-1, Infinity]*S[2, Infinity])/896 + (2363*S[3, Infinity])/896)*
    S[5, Infinity] - (45419*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((169*S[-1, Infinity]^4)/2240 - 
     (43*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/224 - 
     (137*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3329*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (225*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-167*S[-5, -1, Infinity] + 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-172160*S[-7, -1, Infinity] - 14981*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] + 1600*S[-5, -1, 1, 1, Infinity] + 
     152320*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 1, -1, 1, -1, -2, -1, Infinity] -> (29*S[-1, Infinity]^8)/10080 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (114707*S[2, Infinity]^4)/
    196000 + ((-1569*S[-1, Infinity]^2)/896 - (5619*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((535*S[-1, Infinity]^3)/384 + 
     (97*S[-1, Infinity]*S[2, Infinity])/7 + (1961*S[3, Infinity])/112)*
    S[5, Infinity] - (45419*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/420 - 
     (76*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/3360 + 
     (481*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (14211*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (467*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - (321*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (36200*S[-7, -1, Infinity] + 8181*S[5, 3, Infinity] + 
     6880*S[-5, -1, -1, -1, Infinity] + 3760*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, 1, -1, 1, -2, 1, 1, Infinity] -> (-19*S[-1, Infinity]^8)/40320 - 
   (2283*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (187007*S[2, Infinity]^4)/98000 + ((-6145*S[-1, Infinity]^2)/1792 + 
     (23465*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((711*S[-1, Infinity]^3)/64 - (8613*S[-1, Infinity]*S[2, Infinity])/448 - 
     (35899*S[3, Infinity])/1792)*S[5, Infinity] - 
   (306225*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-863*S[-1, Infinity]^4)/6720 + 
     (86*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((363*S[-1, Infinity]^5)/2240 - (363*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (6553*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (130*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 + 
     (1831*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(515*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1867840*S[-7, -1, Infinity] - 315617*S[5, 3, Infinity] - 
     227840*S[-5, -1, -1, -1, Infinity] - 175360*S[-5, -1, 1, 1, Infinity] + 
     555520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, 1, -2, 1, -1, Infinity] -> S[-1, Infinity]^8/3360 - 
   (461*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (184727*S[2, Infinity]^4)/392000 + 
   ((-7719*S[-1, Infinity]^2)/1792 + (13857*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((711*S[-1, Infinity]^3)/64 - 
     (741*S[-1, Infinity]*S[2, Infinity])/448 - (32079*S[3, Infinity])/1792)*
    S[5, Infinity] - (306225*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*(273600*S[-7, -1, Infinity] + 54571*S[5, 3, Infinity] + 
      40960*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity]))/
    17920 + S[2, Infinity]^2*((-579*S[-1, Infinity]^4)/2240 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 - (171*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (3201*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 - 
     (3*(-283*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(117*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, -1, 1, -2, -1, 1, Infinity] -> (-17*S[-1, Infinity]^8)/5760 + 
   6*S[-1, Infinity]^2*S[2, Infinity]^3 - (1221727*S[2, Infinity]^4)/392000 + 
   ((4807*S[-1, Infinity]^2)/448 - (9239*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-869*S[-1, Infinity]^3)/32 + 
     (2155*S[-1, Infinity]*S[2, Infinity])/112 + (150991*S[3, Infinity])/
      7168)*S[5, Infinity] + (71977*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((1059*S[-1, Infinity]^4)/2240 - 
     (37*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1993*S[-1, Infinity]^5)/6720 + 
     (937*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (85989*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1853*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(335*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-1399*S[-5, -1, Infinity] + 
       126*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 32*S[5, -1, -1, Infinity] - 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (6482880*S[-7, -1, Infinity] + 1004471*S[5, 3, Infinity] + 
     748800*S[-5, -1, -1, -1, Infinity] + 505600*S[-5, -1, 1, 1, Infinity] - 
     3046400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, 1, -2, -1, -1, Infinity] -> (-71*S[-1, Infinity]^8)/20160 + 
   (641*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (683171*S[2, Infinity]^4)/392000 + 
   ((1399*S[-1, Infinity]^2)/112 - (7955*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-869*S[-1, Infinity]^3)/32 - 
     (1661*S[-1, Infinity]*S[2, Infinity])/112 + (21149*S[3, Infinity])/7168)*
    S[5, Infinity] + (71977*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((2701*S[-1, Infinity]^4)/3360 - 
     (17*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-151*S[-1, Infinity]^5)/1120 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (35009*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (913*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(589*S[-5, -1, Infinity] - 
        196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(-229*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 32*S[5, -1, -1, Infinity] - 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (3716800*S[-7, -1, Infinity] + 535813*S[5, 3, Infinity] + 
     341760*S[-5, -1, -1, -1, Infinity] + 312320*S[-5, -1, 1, 1, Infinity] - 
     2222080*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, -1, 2, 1, 1, Infinity] -> (191*S[-1, Infinity]^8)/40320 - 
   (241*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (290109*S[2, Infinity]^4)/392000 + 
   ((2339*S[-1, Infinity]^2)/1792 + (29891*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((139*S[-1, Infinity]^3)/16 - 
     (2589*S[-1, Infinity]*S[2, Infinity])/112 - (129799*S[3, Infinity])/
      7168)*S[5, Infinity] - (200247*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (347*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((221*S[-1, Infinity]^4)/2240 + 
     (211*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-127*S[-1, Infinity]^5)/2240 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (33867*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (347*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/1440 + (949*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-3083840*S[-7, -1, Infinity] - 627167*S[5, 3, Infinity] - 
     536320*S[-5, -1, -1, -1, Infinity] - 135680*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1003520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -1, 2, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/4480 - (73*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (477503*S[2, Infinity]^4)/196000 + 
   ((-465*S[-1, Infinity]^2)/448 + (501*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((139*S[-1, Infinity]^3)/16 + 
     (135*S[-1, Infinity]*S[2, Infinity])/112 + (17607*S[3, Infinity])/1792)*
    S[5, Infinity] - (200247*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((181*S[-1, Infinity]^4)/448 + 
     (123*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/2240 + 
     (445*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (4761*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (135*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/96 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (3*(-143*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(-52720*S[-7, -1, Infinity] - 6963*S[5, 3, Infinity] - 
      10240*S[-5, -1, -1, -1, Infinity] - 2080*S[-5, -1, 1, 1, Infinity] - 
      4480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/4480, 
 S[-1, 1, -1, -1, 2, -1, 1, Infinity] -> (421*S[-1, Infinity]^8)/40320 + 
   (4539*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (8201803*S[2, Infinity]^4)/784000 + 
   ((36357*S[-1, Infinity]^2)/1792 - (51895*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-985*S[-1, Infinity]^3)/24 - 
     (779*S[-1, Infinity]*S[2, Infinity])/224 + (544095*S[3, Infinity])/7168)*
    S[5, Infinity] + (358593*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((689*S[-1, Infinity]^4)/1344 - 
     (669*S[-1, 1, 1, 1, Infinity])/140) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (19*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/140 + 
     (373*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (138349*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2185*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-1285*S[-5, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/480 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2969*S[-5, -1, Infinity] + 504*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (9*S[-1, Infinity]*(79*S[-5, 1, 1, Infinity] - 68*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (10294720*S[-7, -1, Infinity] + 1423927*S[5, 3, Infinity] + 
     756480*S[-5, -1, -1, -1, Infinity] + 1268480*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 4587520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -1, 2, -1, -1, Infinity] -> 
  (503*S[-1, Infinity]^8)/40320 + (1987*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (354261*S[2, Infinity]^4)/56000 + 
   ((22749*S[-1, Infinity]^2)/896 - (1509*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-985*S[-1, Infinity]^3)/24 - 
     (7907*S[-1, Infinity]*S[2, Infinity])/224 + (71*S[3, Infinity])/2)*
    S[5, Infinity] + (358593*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((81*S[-1, Infinity]^4)/320 - 
     (31*S[-1, 1, 1, 1, Infinity])/40) - 
   (19*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (19*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-379*S[-1, Infinity]^5)/480 + 
     (125*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (52011*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (239*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-247*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-731*S[-5, -1, Infinity] + 192*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (9*S[-1, Infinity]*(79*S[-5, 1, 1, Infinity] - 68*S[5, -1, -1, Infinity] - 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(92800*S[-7, -1, Infinity] + 11589*S[5, 3, Infinity] + 
      4480*S[-5, -1, -1, -1, Infinity] + 12480*S[-5, -1, 1, 1, Infinity] + 
      2560*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1280, S[-1, 1, -1, -1, 1, 2, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/5760 - (11*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (1564973*S[2, Infinity]^4)/784000 + 
   ((-1031*S[-1, Infinity]^2)/448 - (4397*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((407*S[-1, Infinity]^3)/192 + 
     (1879*S[-1, Infinity]*S[2, Infinity])/448 - (50257*S[3, Infinity])/7168)*
    S[5, Infinity] + (178827*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-1067*S[-1, Infinity]^4)/6720 - 
     (3*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((269*S[-1, Infinity]^5)/3360 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (5893*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (34*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((89*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-23*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-242240*S[-7, -1, Infinity] - 45639*S[5, 3, Infinity] - 
      32000*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 + 430080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, 1, -1, -1, 1, 2, -1, Infinity] -> 
  (-533*S[-1, Infinity]^8)/40320 - (2333*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (270061*S[2, Infinity]^4)/784000 + 
   ((-1333*S[-1, Infinity]^2)/896 + (6295*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((407*S[-1, Infinity]^3)/192 - 
     (9929*S[-1, Infinity]*S[2, Infinity])/448 - (218959*S[3, Infinity])/
      7168)*S[5, Infinity] + (178827*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1777*S[-1, Infinity]^4)/6720 - 
     (909*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((491*S[-1, Infinity]^5)/3360 - 
     (1003*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (33769*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (179*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-89*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (3*S[-1, Infinity]^2*(69*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(253760*S[-7, -1, Infinity] + 76123*S[5, 3, Infinity] + 
      37120*S[-5, -1, -1, -1, Infinity] + 52480*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, 1, -1, -1, 1, 1, 2, Infinity] -> 
  (71*S[-1, Infinity]^8)/40320 + (8*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (717679*S[2, Infinity]^4)/392000 + 
   ((183*S[-1, Infinity]^2)/128 - (5427*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-163*S[-1, Infinity]^3)/48 + 
     (53*S[-1, Infinity]*S[2, Infinity])/4 + (16145*S[3, Infinity])/3584)*
    S[5, Infinity] + (94749*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((743*S[-1, Infinity]^4)/6720 - 
     (267*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/42 + 
     (193*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2639*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (407*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-891*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-47*S[-5, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      210*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1118720*S[-7, -1, Infinity] + 191391*S[5, 3, Infinity] + 
     113920*S[-5, -1, -1, -1, Infinity] + 92160*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -1, -1, 1, 1, -2, Infinity] -> 
  (-31*S[-1, Infinity]^8)/40320 + (79*S[-1, Infinity]^2*S[2, Infinity]^3)/
    40 + (184553*S[2, Infinity]^4)/392000 + 
   ((1335*S[-1, Infinity]^2)/896 - (6665*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-163*S[-1, Infinity]^3)/48 + 
     (587*S[-1, Infinity]*S[2, Infinity])/28 + (17883*S[3, Infinity])/3584)*
    S[5, Infinity] + (94749*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/1344 - 
     (501*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-149*S[-1, Infinity]^5)/1680 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (3415*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (305*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(297*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-317*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      210*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1464320*S[-7, -1, Infinity] + 153673*S[5, 3, Infinity] + 
     106240*S[-5, -1, -1, -1, Infinity] + 153600*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 591360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -1, -1, 1, -1, 2, Infinity] -> 
  (-11*S[-1, Infinity]^8)/6720 + (1731*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (60751*S[2, Infinity]^4)/112000 + 
   ((13*S[-1, Infinity]^2)/128 - (15*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-207*S[-1, Infinity]^3)/64 + (451*S[-1, Infinity]*S[2, Infinity])/32 - 
     (8067*S[3, Infinity])/1024)*S[5, Infinity] + 
   (31159*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/8 - (29*S[-1, 1, 1, 1, Infinity])/
      20) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/960 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (3927*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     7*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-35*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-199*S[-5, -1, Infinity] + 60*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-13*S[5, -1, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3*(127040*S[-7, -1, Infinity] + 15807*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
      51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/5120, 
 S[-1, 1, -1, -1, 1, -1, -2, Infinity] -> (-23*S[-1, Infinity]^8)/13440 + 
   (1269*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (595387*S[2, Infinity]^4)/392000 + 
   ((37*S[-1, Infinity]^2)/896 - (18531*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-207*S[-1, Infinity]^3)/64 + 
     (15481*S[-1, Infinity]*S[2, Infinity])/896 + (65103*S[3, Infinity])/
      7168)*S[5, Infinity] + (31159*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/112 - (107*S[-1, 1, 1, 1, Infinity])/
      140) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-107*S[-1, Infinity]^5)/1680 + 
     (131*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (29697*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (449*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-121*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-257*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-13*S[5, -1, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3*(658880*S[-7, -1, Infinity] + 131907*S[5, 3, Infinity] + 
      103680*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
      322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, 1, -1, -1, 1, -2, 1, Infinity] -> (313*S[-1, Infinity]^8)/40320 - 
   (197*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (2200089*S[2, Infinity]^4)/392000 + 
   ((-1879*S[-1, Infinity]^2)/448 + (12255*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((5681*S[-1, Infinity]^3)/384 + 
     (415*S[-1, Infinity]*S[2, Infinity])/896 - (134961*S[3, Infinity])/7168)*
    S[5, Infinity] - (565965*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((117*S[-1, Infinity]^4)/2240 + 
     (563*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((25*S[-1, Infinity]^5)/672 - 
     (251*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (38677*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (915*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/288 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1909*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(-69*S[-5, -1, Infinity] - 
      98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 95*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3803840*S[-7, -1, Infinity] - 732227*S[5, 3, Infinity] - 
     426240*S[-5, -1, -1, -1, Infinity] - 398080*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 1863680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -1, 1, -2, -1, Infinity] -> 
  (431*S[-1, Infinity]^8)/40320 + (561*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1137281*S[2, Infinity]^4)/392000 + 
   ((-1115*S[-1, Infinity]^2)/224 + (5165*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((5681*S[-1, Infinity]^3)/384 + 
     (23455*S[-1, Infinity]*S[2, Infinity])/896 - (60869*S[3, Infinity])/
      7168)*S[5, Infinity] - (565965*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-3517*S[-1, Infinity]^4)/6720 + 
     (1347*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/672 + 
     (S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (11807*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (475*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/288 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(183*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] - 
      98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 95*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-649280*S[-7, -1, Infinity] - 105421*S[5, 3, Infinity] - 
      75520*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 + 465920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, 1, -1, -1, -1, 2, 1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/40320 - (57*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 + (1102223*S[2, Infinity]^4)/196000 + 
   ((-1511*S[-1, Infinity]^2)/224 + (6067*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((6115*S[-1, Infinity]^3)/384 - 
     (559*S[-1, Infinity]*S[2, Infinity])/896 - (44447*S[3, Infinity])/1792)*
    S[5, Infinity] - (126299*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-337*S[-1, Infinity]^4)/1344 + 
     (531*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((121*S[-1, Infinity]^5)/560 - 
     (377*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (25071*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (789*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/288 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (2243*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(247*S[-5, -1, Infinity] + 
      308*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-118*S[-5, 1, 1, Infinity] + 
      127*S[5, -1, -1, Infinity] + 518*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-254560*S[-7, -1, Infinity] - 43973*S[5, 3, Infinity] - 
     24160*S[-5, -1, -1, -1, Infinity] - 31280*S[-5, -1, 1, 1, Infinity] + 
     118720*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[-1, 1, -1, -1, -1, 2, -1, Infinity] -> -S[-1, Infinity]^8/1680 - 
   (251*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (615897*S[2, Infinity]^4)/98000 + ((-7313*S[-1, Infinity]^2)/896 + 
     (1957*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((6115*S[-1, Infinity]^3)/384 + (8597*S[-1, Infinity]*S[2, Infinity])/
      224 - (48961*S[3, Infinity])/1792)*S[5, Infinity] - 
   (126299*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/280 + 
     (137*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((611*S[-1, Infinity]^5)/3360 + (9*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (1439*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (337*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (505*S[-5, -1, Infinity] - 
       154*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(53*S[-5, -1, Infinity] + 
      154*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-118*S[-5, 1, 1, Infinity] + 
      127*S[5, -1, -1, Infinity] + 518*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-507200*S[-7, -1, Infinity] - 61191*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 110080*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 1, -1, -1, -1, 1, 2, Infinity] -> (199*S[-1, Infinity]^8)/40320 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/14 - (2346817*S[2, Infinity]^4)/
    1176000 + ((-25*S[-1, Infinity]^2)/896 - (1459*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-101*S[-1, Infinity]^3)/48 + 
     (7593*S[-1, Infinity]*S[2, Infinity])/224 + (160953*S[3, Infinity])/
      7168)*S[5, Infinity] + (109591*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/2240 - 
     (89*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-857*S[-1, Infinity]^5)/6720 + 
     (815*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (46229*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (355*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-773*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-99*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(47*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2610240*S[-7, -1, Infinity] + 515527*S[5, 3, Infinity] + 
     305920*S[-5, -1, -1, -1, Infinity] + 142080*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 967680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -1, -1, 1, -2, Infinity] -> 
  (-17*S[-1, Infinity]^8)/5760 + (803*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (351203*S[2, Infinity]^4)/2352000 + 
   ((61*S[-1, Infinity]^2)/112 - (7057*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-101*S[-1, Infinity]^3)/48 + 
     (11553*S[-1, Infinity]*S[2, Infinity])/896 - (39405*S[3, Infinity])/
      7168)*S[5, Infinity] + (109591*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/2240 - 
     (55*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-67*S[-1, Infinity]^5)/840 + 
     (473*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4219*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (389*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-141*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-767*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(47*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1730880*S[-7, -1, Infinity] + 213019*S[5, 3, Infinity] + 
     160000*S[-5, -1, -1, -1, Infinity] + 180480*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/1920 + (243*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (772923*S[2, Infinity]^4)/392000 + 
   ((79*S[-1, Infinity]^2)/112 - (6673*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-295*S[-1, Infinity]^3)/96 + 
     (1201*S[-1, Infinity]*S[2, Infinity])/112 + (32035*S[3, Infinity])/3584)*
    S[5, Infinity] + (72655*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 - (235*S[-5, -1, Infinity])/14) + 
   S[2, Infinity]^2*((151*S[-1, Infinity]^4)/3360 - 
     (79*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/420 + (89*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (12031*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-299*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      77*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (975360*S[-7, -1, Infinity] + 176467*S[5, 3, Infinity] + 
     96000*S[-5, -1, -1, -1, Infinity] + 101120*S[-5, -1, 1, 1, Infinity] - 
     448000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, -1, -1, -1, -2, Infinity] -> S[-1, Infinity]^8/1680 + 
   (327*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (63597*S[2, Infinity]^4)/392000 + 
   ((17*S[-1, Infinity]^2)/128 - (10627*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-295*S[-1, Infinity]^3)/96 + 
     (1085*S[-1, Infinity]*S[2, Infinity])/32 + (23141*S[3, Infinity])/1792)*
    S[5, Infinity] + (72655*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/672 - 
     (32*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-71*S[-1, Infinity]^5)/840 + (73*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (847*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (64*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-59*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (-883*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      77*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (707520*S[-7, -1, Infinity] + 114059*S[5, 3, Infinity] + 
     84480*S[-5, -1, -1, -1, Infinity] + 40960*S[-5, -1, 1, 1, Infinity] - 
     250880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 1, -1, -1, -1, -2, 1, Infinity] -> (7*S[-1, Infinity]^8)/1920 + 
   (747*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (171247*S[2, Infinity]^4)/49000 + ((3149*S[-1, Infinity]^2)/896 + 
     (4883*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((283*S[-1, Infinity]^3)/192 + (299*S[-1, Infinity]*S[2, Infinity])/112 - 
     (30211*S[3, Infinity])/3584)*S[5, Infinity] - 
   (10619*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/448 - 
     (181*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/420 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (599*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (467*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-109*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1039*S[-5, -1, Infinity] + 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 28*S[5, -1, -1, Infinity] - 
      88*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (560320*S[-7, -1, Infinity] - 48021*S[5, 3, Infinity] - 
     102400*S[-5, -1, -1, -1, Infinity] + 160640*S[-5, -1, 1, 1, Infinity] - 
     770560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, -1, -1, -2, -1, Infinity] -> (11*S[-1, Infinity]^8)/3360 + 
   (207*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (231253*S[2, Infinity]^4)/28000 + 
   ((635*S[-1, Infinity]^2)/128 + (1091*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((283*S[-1, Infinity]^3)/192 - 
     (4733*S[-1, Infinity]*S[2, Infinity])/128 + (749*S[3, Infinity])/32)*
    S[5, Infinity] - (10619*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/32 - (7*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/240 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (689*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (5*S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-83*S[-5, -1, Infinity] + 
       44*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 28*S[5, -1, -1, Infinity] - 
      88*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-19840*S[-7, -1, Infinity] - 8673*S[5, 3, Infinity] - 
     20480*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[-1, 1, -1, -1, -2, 1, 1, Infinity] -> (13*S[-1, Infinity]^8)/1260 + 
   (501*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1745463*S[2, Infinity]^4)/784000 + 
   ((-9*S[-1, Infinity]^2)/256 - (8285*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-33*S[-1, Infinity]^3)/64 + 
     (1037*S[-1, Infinity]*S[2, Infinity])/64 - (7025*S[3, Infinity])/3584)*
    S[5, Infinity] + (38831*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((599*S[-1, Infinity]^4)/3360 + 
     (549*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/336 + 
     (323*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (959*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (107*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/72 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (649*S[-5, -1, Infinity] - 476*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-2*S[-5, -1, Infinity] - 
      3*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (269760*S[-7, -1, Infinity] + 39029*S[5, 3, Infinity] + 
     87040*S[-5, -1, -1, -1, Infinity] - 73600*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 125440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -1, -1, -2, 1, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/20160 - (1011*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (519899*S[2, Infinity]^4)/156800 + 
   ((299*S[-1, Infinity]^2)/896 + (3699*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-33*S[-1, Infinity]^3)/64 - 
     (7765*S[-1, Infinity]*S[2, Infinity])/448 - (206511*S[3, Infinity])/
      7168)*S[5, Infinity] + (38831*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-761*S[-1, Infinity]^4)/3360 + 
     (111*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((141*S[-1, Infinity]^5)/1120 - (93*S[-1, Infinity]^3*S[2, Infinity])/
      28 - (43151*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (993*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (3*(-401*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(257*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*(126272*S[-7, -1, Infinity] + 23313*S[5, 3, Infinity] + 
      15104*S[-5, -1, -1, -1, Infinity] + 18944*S[-5, -1, 1, 1, Infinity] - 
      28672*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/7168, 
 S[-1, 1, -1, -1, -2, -1, 1, Infinity] -> (-353*S[-1, Infinity]^8)/40320 - 
   (207*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (531709*S[2, Infinity]^4)/
    56000 + ((-5265*S[-1, Infinity]^2)/224 + (1809*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((2153*S[-1, Infinity]^3)/48 + 
     (2593*S[-1, Infinity]*S[2, Infinity])/448 - (28319*S[3, Infinity])/512)*
    S[5, Infinity] - (383535*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/320 + 
     (11*S[-1, 1, 1, 1, Infinity])/8) + S[3, Infinity]*
    ((773*S[-1, Infinity]^5)/960 - (469*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (9411*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (53*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (529*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (13*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((127*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (839*S[-5, -1, Infinity] - 180*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(349*S[-5, -1, Infinity] + 
      315*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*S[-1, Infinity]*(221*S[-5, 1, 1, Infinity] - 
      234*S[5, -1, -1, Infinity] - 952*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 - (3*(31680*S[-7, -1, Infinity] + 4799*S[5, 3, Infinity] + 
      2720*S[-5, -1, -1, -1, Infinity] + 3440*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2 - 15680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/320, S[-1, 1, -1, -1, -2, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/40320 - (507*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 + (6927707*S[2, Infinity]^4)/784000 + 
   ((-37839*S[-1, Infinity]^2)/1792 + (33633*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2153*S[-1, Infinity]^3)/48 + 
     (14257*S[-1, Infinity]*S[2, Infinity])/448 - (339973*S[3, Infinity])/
      7168)*S[5, Infinity] - (383535*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-253*S[-1, Infinity]^4)/2240 + 
     (677*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((613*S[-1, Infinity]^5)/1344 - 
     (433*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (19959*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3415*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (13*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-119*S[-1, Infinity]^6)/1440 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2719*S[-5, -1, Infinity] - 714*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(1153*S[-5, -1, Infinity] + 
      1260*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(221*S[-5, 1, 1, Infinity] - 
      234*S[5, -1, -1, Infinity] - 952*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 - (3*(2889280*S[-7, -1, Infinity] + 405581*S[5, 3, Infinity] + 
      200960*S[-5, -1, -1, -1, Infinity] + 354560*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, 1, -1, -2, 1, 1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/13440 + (73*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (797009*S[2, Infinity]^4)/392000 + 
   ((-125*S[-1, Infinity]^2)/896 - (285*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-9*S[-1, Infinity]^3)/64 - 
     (839*S[-1, Infinity]*S[2, Infinity])/448 - (40697*S[3, Infinity])/7168)*
    S[5, Infinity] + (192189*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-281*S[-1, Infinity]^4)/6720 - 
     (139*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/2240 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (519*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(29*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (3*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (981440*S[-7, -1, Infinity] + 147377*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1218560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -2, 1, 1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/20160 + (29*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (7281*S[2, Infinity]^4)/7840 + 
   (-S[-1, Infinity]^2/112 - (877*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]^3)/64 - (2087*S[-1, Infinity]*S[2, Infinity])/448 - 
     (19231*S[3, Infinity])/7168)*S[5, Infinity] + 
   (192189*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((33*S[-1, Infinity]^4)/1120 - 
     (9*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/560 - (43*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1979*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (59*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (187*S[-5, -1, Infinity] - 322*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(5*S[-5, -1, Infinity] - 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-576*S[-7, -1, Infinity] - 337*S[5, 3, Infinity] + 
     6912*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 + 7168*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, -1, -2, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/4032 - (1653*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (223507*S[2, Infinity]^4)/98000 + ((-24597*S[-1, Infinity]^2)/1792 + 
     (32363*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((12749*S[-1, Infinity]^3)/384 + (12209*S[-1, Infinity]*S[2, Infinity])/
      896 - (355659*S[3, Infinity])/7168)*S[5, Infinity] - 
   (475831*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-871*S[-1, Infinity]^4)/1120 + 
     (253*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((99*S[-1, Infinity]^5)/448 - (61*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (63379*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (1485*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1663*S[-5, -1, Infinity] - 378*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (5*S[-1, Infinity]^2*(-52*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-201*S[-5, 1, 1, Infinity] + 
      268*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-4902080*S[-7, -1, Infinity] - 999569*S[5, 3, Infinity] - 
     633600*S[-5, -1, -1, -1, Infinity] - 647680*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, -2, 1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/1152 - 
   (7853*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (213261*S[2, Infinity]^4)/392000 + 
   ((-6399*S[-1, Infinity]^2)/448 + (5763*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((12749*S[-1, Infinity]^3)/384 + 
     (22865*S[-1, Infinity]*S[2, Infinity])/896 - (40423*S[3, Infinity])/896)*
    S[5, Infinity] - (475831*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-7681*S[-1, Infinity]^4)/6720 + 
     (429*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((137*S[-1, Infinity]^5)/840 - 
     (1075*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (22027*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1201*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((109*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (989*S[-5, -1, Infinity] - 210*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(929*S[-5, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-201*S[-5, 1, 1, Infinity] + 
      268*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (3*(-464320*S[-7, -1, Infinity] - 103227*S[5, 3, Infinity] - 
      81920*S[-5, -1, -1, -1, Infinity] - 56960*S[-5, -1, 1, 1, Infinity] - 
      89600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, 1, -1, -2, -1, 1, 1, Infinity] -> (-7*S[-1, Infinity]^8)/1920 + 
   (2903*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1212011*S[2, Infinity]^4)/392000 + 
   ((18059*S[-1, Infinity]^2)/1792 - (1733*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-8765*S[-1, Infinity]^3)/384 - 
     (25845*S[-1, Infinity]*S[2, Infinity])/896 + (74479*S[3, Infinity])/
      7168)*S[5, Infinity] + (787257*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((859*S[-1, Infinity]^4)/2240 - 
     (43*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/336 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1823*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (345*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-389*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1031*S[-5, -1, Infinity] + 1008*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(298*S[-5, 1, 1, Infinity] - 395*S[5, -1, -1, Infinity] - 
      1232*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1048000*S[-7, -1, Infinity] + 217687*S[5, 3, Infinity] + 
     200960*S[-5, -1, -1, -1, Infinity] + 94720*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, -2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/560 + 
   (4707*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (446093*S[2, Infinity]^4)/392000 + 
   ((71*S[-1, Infinity]^2)/7 - (87*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-8765*S[-1, Infinity]^3)/384 - (27093*S[-1, Infinity]*S[2, Infinity])/
      896 + (25433*S[3, Infinity])/1792)*S[5, Infinity] + 
   (787257*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*(52000*S[-7, -1, Infinity] + 10299*S[5, 3, Infinity] + 
      7680*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity]))/
    4480 + S[2, Infinity]^2*((719*S[-1, Infinity]^4)/1680 - 
     (27*S[-1, 1, 1, 1, Infinity])/35) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-481*S[-1, Infinity]^5)/6720 + 
     (481*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4373*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (481*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-47*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/720 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-131*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(298*S[-5, 1, 1, Infinity] - 395*S[5, -1, -1, Infinity] - 
      1232*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, -1, -2, -1, -1, 1, Infinity] -> (25*S[-1, Infinity]^8)/8064 + 
   (857*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (633603*S[2, Infinity]^4)/392000 + 
   ((20469*S[-1, Infinity]^2)/896 - (603*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-9947*S[-1, Infinity]^3)/192 - 
     (36959*S[-1, Infinity]*S[2, Infinity])/448 + (68323*S[3, Infinity])/
      7168)*S[5, Infinity] + (1917295*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((12653*S[-1, Infinity]^4)/6720 - 
     (39*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/6720 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (2743*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (365*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-727*S[-5, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-149*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1331*S[-5, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(606*S[-5, 1, 1, Infinity] - 955*S[5, -1, -1, Infinity] - 
      2940*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(658880*S[-7, -1, Infinity] + 131907*S[5, 3, Infinity] + 
      103680*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
      322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, 1, -1, -2, -1, -1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/2016 + 
   (2059*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (761709*S[2, Infinity]^4)/196000 + 
   ((20361*S[-1, Infinity]^2)/896 - (1473*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-9947*S[-1, Infinity]^3)/192 - 
     (35807*S[-1, Infinity]*S[2, Infinity])/448 + (10705*S[3, Infinity])/
      7168)*S[5, Infinity] + (1917295*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((5767*S[-1, Infinity]^4)/3360 - 
     (69*S[-1, 1, 1, 1, Infinity])/140) + 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/3360 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (10769*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (353*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-751*S[-5, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/180 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-335*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(606*S[-5, 1, 1, Infinity] - 955*S[5, -1, -1, Infinity] - 
      2940*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(614720*S[-7, -1, Infinity] + 106677*S[5, 3, Infinity] + 
      113920*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
      143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, 1, -2, 1, 1, 1, 1, Infinity] -> (17*S[-1, Infinity]^8)/8064 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (9809*S[2, Infinity]^4)/
    56000 + ((49*S[-1, Infinity]^2)/128 - (39*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 + 
     (135*S[-1, Infinity]*S[2, Infinity])/32 + (1205*S[3, Infinity])/1024)*
    S[5, Infinity] + (349*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/960 + 
     (21*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/
      3 + (267*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-7*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (13760*S[-7, -1, Infinity] + 5777*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, -2, 1, 1, 1, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/10080 + (101*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (846913*S[2, Infinity]^4)/784000 + 
   ((389*S[-1, Infinity]^2)/1792 - (4685*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 + 
     (1737*S[-1, Infinity]*S[2, Infinity])/224 + (2987*S[3, Infinity])/3584)*
    S[5, Infinity] + (349*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((-2369*S[-1, Infinity]^4)/6720 + 
     (37*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/448 + 
     (323*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (7593*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (51*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-93*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (447360*S[-7, -1, Infinity] + 64871*S[5, 3, Infinity] + 
     43520*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 340480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -2, 1, 1, -1, 1, Infinity] -> 
  (127*S[-1, Infinity]^8)/40320 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (3791421*S[2, Infinity]^4)/784000 + 
   ((-533*S[-1, Infinity]^2)/1792 - (28331*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 + 
     (14857*S[-1, Infinity]*S[2, Infinity])/448 + (64741*S[3, Infinity])/
      3584)*S[5, Infinity] + (134615*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2299*S[-1, Infinity]^4)/6720 - 
     (501*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1373*S[-1, Infinity]^5)/6720 + 
     (841*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4113*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (169*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-513*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2337920*S[-7, -1, Infinity] + 368237*S[5, 3, Infinity] + 
     240640*S[-5, -1, -1, -1, Infinity] + 216320*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 1146880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -2, 1, 1, -1, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/1152 + (779*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1639067*S[2, Infinity]^4)/392000 + 
   ((-325*S[-1, Infinity]^2)/896 - (3489*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/192 + 
     (477*S[-1, Infinity]*S[2, Infinity])/14 + (103321*S[3, Infinity])/7168)*
    S[5, Infinity] + (134615*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/6720 - (657*S[-1, 1, 1, 1, Infinity])/
      280) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-99*S[-1, Infinity]^5)/560 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (62173*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1167*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-853*S[-5, -1, Infinity] - 280*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-437*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (4269760*S[-7, -1, Infinity] + 675401*S[5, 3, Infinity] + 
     497920*S[-5, -1, -1, -1, Infinity] + 380160*S[-5, -1, 1, 1, Infinity] - 
     1756160*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -2, 1, -1, 1, 1, Infinity] -> (3*S[-1, Infinity]^8)/896 - 
   (1369*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1265713*S[2, Infinity]^4)/98000 + 
   ((3215*S[-1, Infinity]^2)/1792 + (111871*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1395*S[-1, Infinity]^3)/128 - 
     (135987*S[-1, Infinity]*S[2, Infinity])/896 - (614963*S[3, Infinity])/
      7168)*S[5, Infinity] - (306225*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1247*S[-1, Infinity]^4)/1120 + 
     (1257*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((419*S[-1, Infinity]^5)/560 - 
     (377*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (280023*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (1257*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(949*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/48 + 
     (7849*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-17444800*S[-7, -1, Infinity] - 2914871*S[5, 3, Infinity] - 
     2046720*S[-5, -1, -1, -1, Infinity] - 
     1608960*S[-5, -1, 1, 1, Infinity] + 6630400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -2, 1, -1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/5040 - (3503*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (9010313*S[2, Infinity]^4)/784000 + 
   ((143*S[-1, Infinity]^2)/112 + (52893*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2077*S[-1, Infinity]^3)/192 - 
     (62941*S[-1, Infinity]*S[2, Infinity])/448 - (146033*S[3, Infinity])/
      1792)*S[5, Infinity] - (306225*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((631*S[-1, Infinity]^4)/672 + 
     (284*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((4537*S[-1, Infinity]^5)/6720 - (2237*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (128327*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (4537*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(1795*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/144 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (6973*S[-5, -1, Infinity] + 392*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] - 61*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-7895360*S[-7, -1, Infinity] - 1337541*S[5, 3, Infinity] - 
     957440*S[-5, -1, -1, -1, Infinity] - 727040*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -2, 1, -1, -1, 1, Infinity] -> (-11*S[-1, Infinity]^8)/1152 - 
   (191*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (14205647*S[2, Infinity]^4)/
    784000 + ((6255*S[-1, Infinity]^2)/1792 + (126725*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((713*S[-1, Infinity]^3)/96 - 
     (9301*S[-1, Infinity]*S[2, Infinity])/56 - (324985*S[3, Infinity])/3584)*
    S[5, Infinity] - (221583*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((433*S[-1, Infinity]^4)/448 + 
     (3319*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((183*S[-1, Infinity]^5)/224 - 
     (461*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (75111*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (5595*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-741*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(1009*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4919520*S[-7, -1, Infinity] - 802867*S[5, 3, Infinity] - 
     549760*S[-5, -1, -1, -1, Infinity] - 480640*S[-5, -1, 1, 1, Infinity] + 
     1926400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 1, -2, 1, -1, -1, -1, Infinity] -> (-557*S[-1, Infinity]^8)/40320 - 
   (787*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (7303309*S[2, Infinity]^4)/392000 + 
   ((513*S[-1, Infinity]^2)/128 + (33003*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((3131*S[-1, Infinity]^3)/384 - 
     (22951*S[-1, Infinity]*S[2, Infinity])/128 - (753713*S[3, Infinity])/
      7168)*S[5, Infinity] - (221583*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((3447*S[-1, Infinity]^4)/2240 + 
     (603*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((6443*S[-1, Infinity]^5)/6720 - (1259*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (47963*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1637*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-193*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-1635*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (3*S[-1, Infinity]^2*(101*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   (3*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(7110720*S[-7, -1, Infinity] + 1150419*S[5, 3, Infinity] + 
      776960*S[-5, -1, -1, -1, Infinity] + 692480*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, 1, -2, -1, 1, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/3360 + (1719*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1673451*S[2, Infinity]^4)/392000 + 
   ((-5437*S[-1, Infinity]^2)/1792 - (51355*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 + 
     (4271*S[-1, Infinity]*S[2, Infinity])/56 + (146675*S[3, Infinity])/3584)*
    S[5, Infinity] - (58691*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-101*S[-1, Infinity]^4)/168 - 
     (521*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1049*S[-1, Infinity]^5)/3360 + 
     (1049*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (12317*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (1049*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1595*S[-5, -1, Infinity] - 
       182*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-381*S[-5, -1, Infinity] + 
      182*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (914240*S[-7, -1, Infinity] + 158311*S[5, 3, Infinity] + 
     117120*S[-5, -1, -1, -1, Infinity] + 80000*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 268800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, -2, -1, 1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/4032 + (1049*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (113221*S[2, Infinity]^4)/24500 + 
   ((-1321*S[-1, Infinity]^2)/448 - (2845*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/192 + 
     (32267*S[-1, Infinity]*S[2, Infinity])/448 + (262369*S[3, Infinity])/
      7168)*S[5, Infinity] - (58691*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-137*S[-1, Infinity]^4)/210 - 
     (531*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-2341*S[-1, Infinity]^5)/6720 + 
     (475*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (125747*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (2341*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-745*S[-5, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/360 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1979*S[-5, -1, Infinity] + 238*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (7963840*S[-7, -1, Infinity] + 1296643*S[5, 3, Infinity] + 
     915200*S[-5, -1, -1, -1, Infinity] + 751360*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 3046400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -2, -1, 1, -1, 1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/20160 + (5543*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (645639*S[2, Infinity]^4)/196000 + 
   ((4005*S[-1, Infinity]^2)/1792 - (35051*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/64 + 
     (14109*S[-1, Infinity]*S[2, Infinity])/448 + (354469*S[3, Infinity])/
      7168)*S[5, Infinity] + (54885*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (15*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/168 - 
     (253*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1457*S[-1, Infinity]^5)/6720 + 
     (95*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (81353*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (1457*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(65*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1565*S[-5, -1, Infinity] + 126*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (4902080*S[-7, -1, Infinity] + 999569*S[5, 3, Infinity] + 
     633600*S[-5, -1, -1, -1, Infinity] + 647680*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -2, -1, 1, -1, -1, Infinity] -> (23*S[-1, Infinity]^8)/13440 + 
   (667*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (418139*S[2, Infinity]^4)/392000 + 
   ((1251*S[-1, Infinity]^2)/448 - (6855*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-589*S[-1, Infinity]^3)/64 + 
     (10083*S[-1, Infinity]*S[2, Infinity])/448 + (158493*S[3, Infinity])/
      3584)*S[5, Infinity] + (54885*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (15*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((229*S[-1, Infinity]^4)/1120 - 
     (267*S[-1, 1, 1, 1, Infinity])/140) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*((-6*S[-1, Infinity]^5)/35 + 
     (12*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (3903*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (144*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-269*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(223*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*(-464320*S[-7, -1, Infinity] - 103227*S[5, 3, Infinity] - 
      81920*S[-5, -1, -1, -1, Infinity] - 56960*S[-5, -1, 1, 1, Infinity] - 
      89600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, 1, -2, -1, -1, 1, 1, Infinity] -> (347*S[-1, Infinity]^8)/40320 + 
   (1823*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4026181*S[2, Infinity]^4)/196000 + 
   ((-513*S[-1, Infinity]^2)/128 - (59953*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/64 + 
     (10211*S[-1, Infinity]*S[2, Infinity])/64 + (38217*S[3, Infinity])/448)*
    S[5, Infinity] + (118005*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-1951*S[-1, Infinity]^4)/2240 - 
     (683*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-5353*S[-1, Infinity]^5)/6720 + 
     (2477*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (21507*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5605*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2306*S[-5, -1, Infinity] - 147*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(47*S[-5, -1, Infinity] - 
      10*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (9931200*S[-7, -1, Infinity] + 1613573*S[5, 3, Infinity] + 
     1059840*S[-5, -1, -1, -1, Infinity] + 992000*S[-5, -1, 1, 1, Infinity] - 
     4247040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -2, -1, -1, 1, -1, Infinity] -> (69*S[-1, Infinity]^8)/4480 + 
   (4831*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (7789637*S[2, Infinity]^4)/392000 + 
   ((-9207*S[-1, Infinity]^2)/1792 - (136971*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-837*S[-1, Infinity]^3)/128 + 
     (167809*S[-1, Infinity]*S[2, Infinity])/896 + (773475*S[3, Infinity])/
      7168)*S[5, Infinity] + (118005*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-3543*S[-1, Infinity]^4)/2240 - 
     (3063*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-107*S[-1, Infinity]^5)/112 + 
     (1713*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (351311*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (834*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-1651*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) - (3*S[-1, Infinity]^2*(733*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(7266880*S[-7, -1, Infinity] + 1177917*S[5, 3, Infinity] + 
      802560*S[-5, -1, -1, -1, Infinity] + 702720*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 3010560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, 1, -2, -1, -1, -1, 1, Infinity] -> 
  (-191*S[-1, Infinity]^8)/40320 + (222*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 - (8093759*S[2, Infinity]^4)/392000 + 
   ((-22807*S[-1, Infinity]^2)/1792 - (188379*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/128 + 
     (248205*S[-1, Infinity]*S[2, Infinity])/896 + (897543*S[3, Infinity])/
      7168)*S[5, Infinity] + (97641*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2713*S[-1, Infinity]^4)/1120 - 
     (953*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-7477*S[-1, Infinity]^5)/6720 + (7351*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (453727*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (953*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/360 + 
     (-11999*S[-5, -1, Infinity] - 532*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-2741*S[-5, -1, Infinity] + 
      532*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (28260800*S[-7, -1, Infinity] + 4762587*S[5, 3, Infinity] + 
     3411200*S[-5, -1, -1, -1, Infinity] + 
     2439680*S[-5, -1, 1, 1, Infinity] - 11361280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -2, -1, -1, -1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/20160 + (2913*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (718289*S[2, Infinity]^4)/39200 + 
   ((-2537*S[-1, Infinity]^2)/224 - (9993*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (110385*S[-1, Infinity]*S[2, Infinity])/448 + (338085*S[3, Infinity])/
      3584)*S[5, Infinity] + (97641*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-1121*S[-1, Infinity]^4)/560 - 
     (1723*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1681*S[-1, Infinity]^5)/1680 + 
     (809*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (20297*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (6871*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/72 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-10973*S[-5, -1, Infinity] - 364*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-1231*S[-5, -1, Infinity] + 
      266*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1284832*S[-7, -1, Infinity] + 209655*S[5, 3, Infinity] + 
     152704*S[-5, -1, -1, -1, Infinity] + 110272*S[-5, -1, 1, 1, Infinity] - 
     541184*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[-1, -1, 2, 1, 1, 1, 1, Infinity] -> (5*S[-1, Infinity]^8)/504 + 
   (5*S[-1, Infinity]^4*S[2, Infinity]^2)/24 + 
   (177*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - (4*S[2, Infinity]^4)/7 + 
   (25*S[-1, Infinity]^2*S[3, Infinity]^2)/16 + 
   (235*S[-1, Infinity]*S[2, Infinity]*S[5, Infinity])/64 - 
   (8415*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-35*S[-1, Infinity]^5)/192 + 
     (35*S[-1, Infinity]^3*S[2, Infinity])/32 + 2*S[-1, Infinity]*
      S[2, Infinity]^2 + (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (5*S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (9*S[-1, 1, 1, 1, Infinity]^2 - 14*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/
    2, S[-1, -1, 2, 1, 1, 1, -1, Infinity] -> (359*S[-1, Infinity]^8)/40320 + 
   (113*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (2707969*S[2, Infinity]^4)/784000 + 
   ((1427*S[-1, Infinity]^2)/896 - (717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1357*S[-1, Infinity]*S[2, Infinity])/448 + 
     (11323*S[3, Infinity])/1792)*S[5, Infinity] - 
   (8415*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-377*S[-1, Infinity]^4)/1344 + 
     (393*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1207*S[-1, Infinity]^5)/6720 + 
     (239*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (3949*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (187*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-549*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-16*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 - 197120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 2, 1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (4189*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (9033317*S[2, Infinity]^4)/784000 + 
   ((159*S[-1, Infinity]^2)/56 - (6499*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-3503*S[-1, Infinity]^3)/384 + 
     (54389*S[-1, Infinity]*S[2, Infinity])/896 + (125633*S[3, Infinity])/
      3584)*S[5, Infinity] + (62749*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/224 - 
     (193*S[-1, 1, 1, 1, Infinity])/56) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-267*S[-1, Infinity]^5)/560 + 
     (299*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (68093*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1413*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/10 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (3*(723*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-1019*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (4761280*S[-7, -1, Infinity] + 723929*S[5, 3, Infinity] + 
     450560*S[-5, -1, -1, -1, Infinity] + 458880*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 2634240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 2, 1, 1, -1, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/5040 + (267*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (215811*S[2, Infinity]^4)/24500 + ((2067*S[-1, Infinity]^2)/896 - 
     (28253*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-1147*S[-1, Infinity]^3)/128 + (64999*S[-1, Infinity]*S[2, Infinity])/
      896 + (102289*S[3, Infinity])/3584)*S[5, Infinity] + 
   (62749*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/140 - 
     (214*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1649*S[-1, Infinity]^5)/3360 + 
     (1495*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (37673*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (365*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/240 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-4523*S[-5, -1, Infinity] - 
       252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (9*S[-1, Infinity]^2*(125*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (5081920*S[-7, -1, Infinity] + 763709*S[5, 3, Infinity] + 
     518400*S[-5, -1, -1, -1, Infinity] + 467200*S[-5, -1, 1, 1, Infinity] - 
     2365440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, 2, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/280 - 
   (12729*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (9235089*S[2, Infinity]^4)/392000 + 
   ((-10737*S[-1, Infinity]^2)/1792 + (180001*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((3193*S[-1, Infinity]^3)/96 - 
     (99221*S[-1, Infinity]*S[2, Infinity])/448 - (220313*S[3, Infinity])/
      1792)*S[5, Infinity] - (19447*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((313*S[-1, Infinity]^4)/672 + 
     (4521*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((8069*S[-1, Infinity]^5)/6720 - 
     (7943*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (110861*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (4213*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(1731*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (12689*S[-5, -1, Infinity] + 476*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 35*S[5, -1, -1, Infinity] + 
      146*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-14442560*S[-7, -1, Infinity] - 2352241*S[5, 3, Infinity] - 
     1642240*S[-5, -1, -1, -1, Infinity] - 
     1319040*S[-5, -1, 1, 1, Infinity] + 6128640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 2, 1, -1, 1, -1, Infinity] -> 
  (113*S[-1, Infinity]^8)/40320 - (2609*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (17857081*S[2, Infinity]^4)/784000 + 
   ((-12681*S[-1, Infinity]^2)/1792 + (168695*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4247*S[-1, Infinity]^3)/128 - 
     (177923*S[-1, Infinity]*S[2, Infinity])/896 - (446241*S[3, Infinity])/
      3584)*S[5, Infinity] - (19447*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((673*S[-1, Infinity]^4)/2240 + 
     (3623*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((2413*S[-1, Infinity]^5)/2240 - 
     (1259*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (50193*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1899*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(1623*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2956*S[-5, -1, Infinity] + 35*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 35*S[5, -1, -1, Infinity] + 
      146*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-6626720*S[-7, -1, Infinity] - 1094241*S[5, 3, Infinity] - 
     752000*S[-5, -1, -1, -1, Infinity] - 609920*S[-5, -1, 1, 1, Infinity] + 
     2840320*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, 2, 1, -1, -1, 1, Infinity] -> (-53*S[-1, Infinity]^8)/5040 - 
   (19041*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1509887*S[2, Infinity]^4)/49000 + 
   ((-3387*S[-1, Infinity]^2)/448 + (62561*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((2883*S[-1, Infinity]^3)/64 - 
     (16791*S[-1, Infinity]*S[2, Infinity])/56 - (9505*S[3, Infinity])/56)*
    S[5, Infinity] - (1649241*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((181*S[-1, Infinity]^4)/224 + 
     (758*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3667*S[-1, Infinity]^5)/2240 - (3765*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (149871*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (2787*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(1159*S[-5, -1, Infinity] + 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-91*S[-1, Infinity]^6)/720 + 5*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (9319*S[-5, -1, Infinity] + 
       126*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]*(193*S[-5, 1, 1, Infinity] - 
      241*S[5, -1, -1, Infinity] - 980*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-1274960*S[-7, -1, Infinity] - 202199*S[5, 3, Infinity] - 
     140800*S[-5, -1, -1, -1, Infinity] - 121280*S[-5, -1, 1, 1, Infinity] + 
     506240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -1, 2, 1, -1, -1, -1, Infinity] -> (-149*S[-1, Infinity]^8)/10080 - 
   (118*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (5086589*S[2, Infinity]^4)/
    156800 + ((-843*S[-1, Infinity]^2)/128 + (130947*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((5859*S[-1, Infinity]^3)/128 - 
     (40761*S[-1, Infinity]*S[2, Infinity])/128 - (84291*S[3, Infinity])/448)*
    S[5, Infinity] - (1649241*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((341*S[-1, Infinity]^4)/280 + 
     (6327*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((12227*S[-1, Infinity]^5)/6720 - 
     (346*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (46147*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (6187*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/360 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(-2113*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (3*S[-1, Infinity]^2*(-115*S[-5, -1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3*S[-1, Infinity]*(193*S[-5, 1, 1, Infinity] - 
      241*S[5, -1, -1, Infinity] - 980*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 - (3*(705792*S[-7, -1, Infinity] + 114665*S[5, 3, Infinity] + 
      79232*S[-5, -1, -1, -1, Infinity] + 65472*S[-5, -1, 1, 1, Infinity] + 
      2688*S[-1, 1, 1, 1, Infinity]^2 - 284928*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1792, S[-1, -1, 2, -1, 1, 1, 1, Infinity] -> 
  (-191*S[-1, Infinity]^8)/40320 + (475*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (6781*S[2, Infinity]^4)/700 + 
   ((-5113*S[-1, Infinity]^2)/1792 - (10009*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (42135*S[-1, Infinity]*S[2, Infinity])/448 + (20217*S[3, Infinity])/512)*
    S[5, Infinity] + (246011*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-163*S[-1, Infinity]^4)/320 - 
     (53*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-403*S[-1, Infinity]^5)/960 + 
     (365*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (41817*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     49*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((49*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-617*S[-5, -1, Infinity] - 40*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-559*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 85*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (154176*S[-7, -1, Infinity] + 25123*S[5, 3, Infinity] + 
     17920*S[-5, -1, -1, -1, Infinity] + 12928*S[-5, -1, 1, 1, Infinity] - 
     1536*S[-1, 1, 1, 1, Infinity]^2 - 73216*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[-1, -1, 2, -1, 1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/4480 + (283*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (7146003*S[2, Infinity]^4)/784000 + 
   ((-5977*S[-1, Infinity]^2)/1792 - (70793*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-589*S[-1, Infinity]^3)/192 + 
     (11957*S[-1, Infinity]*S[2, Infinity])/112 + (54403*S[3, Infinity])/
      1792)*S[5, Infinity] + (246011*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-3937*S[-1, Infinity]^4)/6720 - 
     (1929*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3403*S[-1, Infinity]^5)/6720 + 
     (337*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (23547*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1663*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-607*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1339*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 85*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (49135*S[-7, -1, Infinity] + 7582*S[5, 3, Infinity] + 
     5380*S[-5, -1, -1, -1, Infinity] + 4140*S[-5, -1, 1, 1, Infinity] - 
     210*S[-1, 1, 1, 1, Infinity]^2 - 23520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/140, S[-1, -1, 2, -1, 1, -1, 1, Infinity] -> 
  (31*S[-1, Infinity]^8)/40320 + (199*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (218157*S[2, Infinity]^4)/196000 + 
   ((1143*S[-1, Infinity]^2)/896 - (3481*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/128 + 
     (7221*S[-1, Infinity]*S[2, Infinity])/896 + (19141*S[3, Infinity])/3584)*
    S[5, Infinity] - (1935*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((3053*S[-1, Infinity]^4)/6720 - 
     (101*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-211*S[-1, Infinity]^5)/3360 + 
     (233*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (9511*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (95*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-167*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-91*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-779*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (610240*S[-7, -1, Infinity] + 143651*S[5, 3, Infinity] + 
     87040*S[-5, -1, -1, -1, Infinity] + 60800*S[-5, -1, 1, 1, Infinity] - 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, 2, -1, 1, -1, -1, Infinity] -> (29*S[-1, Infinity]^8)/6720 + 
   (263*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (186847*S[2, Infinity]^4)/392000 + 
   ((513*S[-1, Infinity]^2)/224 + (879*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/128 - 
     (14775*S[-1, Infinity]*S[2, Infinity])/896 + (14991*S[3, Infinity])/
      3584)*S[5, Infinity] - (1935*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((115*S[-1, Infinity]^4)/224 + 
     (45*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/560 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (405*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (99*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-33*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(184000*S[-7, -1, Infinity] + 25409*S[5, 3, Infinity] + 
      14080*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
      71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, -1, 2, -1, -1, 1, 1, Infinity] -> (613*S[-1, Infinity]^8)/20160 + 
   (1815*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (1859317*S[2, Infinity]^4)/56000 + 
   ((9255*S[-1, Infinity]^2)/896 - (18591*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-6231*S[-1, Infinity]^3)/128 + 
     (282683*S[-1, Infinity]*S[2, Infinity])/896 + (45177*S[3, Infinity])/
      256)*S[5, Infinity] + (1581991*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/160 - 
     (219*S[-1, 1, 1, 1, Infinity])/10) - S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-953*S[-1, Infinity]^5)/480 + 
     (1759*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (320221*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     212*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-73*S[-1, Infinity]^6)/720 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-905*S[-5, -1, Infinity] - 
        16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (3*S[-1, Infinity]^2*(1661*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(654*S[-5, 1, 1, Infinity] - 725*S[5, -1, -1, Infinity] - 
      3024*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(502400*S[-7, -1, Infinity] + 81543*S[5, 3, Infinity] + 
      56320*S[-5, -1, -1, -1, Infinity] + 46720*S[-5, -1, 1, 1, Infinity] + 
      3840*S[-1, 1, 1, 1, Infinity]^2 - 204800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1280, S[-1, -1, 2, -1, -1, 1, -1, Infinity] -> 
  (25*S[-1, Infinity]^8)/672 + (19843*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (27144347*S[2, Infinity]^4)/784000 + 
   ((4209*S[-1, Infinity]^2)/448 - (68235*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-3193*S[-1, Infinity]^3)/64 + 
     (74321*S[-1, Infinity]*S[2, Infinity])/224 + (366501*S[3, Infinity])/
      1792)*S[5, Infinity] + (1581991*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-647*S[-1, Infinity]^4)/560 - 
     (4563*S[-1, 1, 1, 1, Infinity])/280) - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1191*S[-1, Infinity]^5)/560 + 
     (4127*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (170203*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (6411*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/15 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(-1653*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (3*S[-1, Infinity]^2*(-1723*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(654*S[-5, 1, 1, Infinity] - 725*S[5, -1, -1, Infinity] - 
      3024*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(1821600*S[-7, -1, Infinity] + 297607*S[5, 3, Infinity] + 
      207040*S[-5, -1, -1, -1, Infinity] + 170400*S[-5, -1, 1, 1, Infinity] + 
      20160*S[-1, 1, 1, 1, Infinity]^2 - 739200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/4480, S[-1, -1, 2, -1, -1, -1, 1, Infinity] -> 
  (53*S[-1, Infinity]^8)/20160 + (25719*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (16627603*S[2, Infinity]^4)/392000 + 
   ((1275*S[-1, Infinity]^2)/224 - (91495*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-7471*S[-1, Infinity]^3)/128 + 
     (409669*S[-1, Infinity]*S[2, Infinity])/896 + (454899*S[3, Infinity])/
      1792)*S[5, Infinity] + (31861*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((-3217*S[-1, Infinity]^4)/1680 - 
     (7537*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-401*S[-1, Infinity]^5)/168 + 
     (7915*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (110557*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (7915*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((91*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2*(-1538*S[-5, -1, Infinity] - 49*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (2*S[-1, Infinity]^2*(-411*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (4*S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (1768640*S[-7, -1, Infinity] + 293457*S[5, 3, Infinity] + 
     208640*S[-5, -1, -1, -1, Infinity] + 158720*S[-5, -1, 1, 1, Infinity] - 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -1, 2, -1, -1, -1, -1, Infinity] -> (37*S[-1, Infinity]^8)/5760 + 
   (12489*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (7952033*S[2, Infinity]^4)/196000 + 
   ((5937*S[-1, Infinity]^2)/896 - (174935*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/8 + 
     (24529*S[-1, Infinity]*S[2, Infinity])/56 + (428073*S[3, Infinity])/
      1792)*S[5, Infinity] + (31861*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((-10501*S[-1, Infinity]^4)/6720 - 
     (7867*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-7783*S[-1, Infinity]^5)/3360 + 
     (7615*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (85271*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3839*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/160 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-24113*S[-5, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-3195*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (4*S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (13769920*S[-7, -1, Infinity] + 2274417*S[5, 3, Infinity] + 
     1609600*S[-5, -1, -1, -1, Infinity] + 
     1228480*S[-5, -1, 1, 1, Infinity] - 5600000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, 2, 1, 1, 1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/4032 - (19*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (1193723*S[2, Infinity]^4)/392000 + 
   ((-191*S[-1, Infinity]^2)/112 + (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((593*S[-1, Infinity]^3)/192 - 
     (6953*S[-1, Infinity]*S[2, Infinity])/448 - (17763*S[3, Infinity])/1792)*
    S[5, Infinity] - (6441*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-839*S[-1, Infinity]^4)/3360 + 
     (17*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((377*S[-1, Infinity]^5)/1680 - 
     (93*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (57*S[-1, Infinity]*S[2, Infinity]^2)/7 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (181*S[-1, 1, 1, 1, 1, Infinity])/14) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(73*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((61*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (173*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity] + 
      210*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-350720*S[-7, -1, Infinity] - 94811*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 188160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, 2, 1, 1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/4032 - (283*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1579009*S[2, Infinity]^4)/392000 + 
   ((-1187*S[-1, Infinity]^2)/448 + (717*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((593*S[-1, Infinity]^3)/192 + 
     (2071*S[-1, Infinity]*S[2, Infinity])/448 - (5051*S[3, Infinity])/896)*
    S[5, Infinity] - (6441*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/3360 - 
     (57*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/1344 - 
     (187*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3153*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (89*S[-1, 1, 1, 1, 1, Infinity])/14) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] + 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (549*S[-5, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity] + 
      210*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -1, 1, 2, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/280 - (101*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (5395659*S[2, Infinity]^4)/392000 + 
   ((-29*S[-1, Infinity]^2)/16 + (23351*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((5185*S[-1, Infinity]^3)/384 - 
     (15511*S[-1, Infinity]*S[2, Infinity])/128 - (347537*S[3, Infinity])/
      7168)*S[5, Infinity] - (9827*S[-1, Infinity]*S[7, Infinity])/112 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1999*S[-1, Infinity]^4)/3360 + 
     (321*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((785*S[-1, Infinity]^5)/1344 - (467*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (6661*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (530*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/240 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (7341*S[-5, -1, Infinity] - 
       280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(129*S[-5, -1, Infinity] + 
      20*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-45*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      378*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*(-5435840*S[-7, -1, Infinity] - 828459*S[5, 3, Infinity] - 
      572160*S[-5, -1, -1, -1, Infinity] - 503040*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 + 2688000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, 2, 1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/1120 - (1063*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (1694867*S[2, Infinity]^4)/112000 + 
   ((181*S[-1, Infinity]^2)/1792 + (16675*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((5185*S[-1, Infinity]^3)/384 - 
     (145153*S[-1, Infinity]*S[2, Infinity])/896 - (8167*S[3, Infinity])/128)*
    S[5, Infinity] - (9827*S[-1, Infinity]*S[7, Infinity])/112 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/60 + 
     (201*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((49*S[-1, Infinity]^5)/60 - (697*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (7319*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (181*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(2187*S[-5, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/180 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1131*S[-5, -1, Infinity] + 40*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-45*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      378*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (3*(226560*S[-7, -1, Infinity] + 36999*S[5, 3, Infinity] + 
      26240*S[-5, -1, -1, -1, Infinity] + 18560*S[-5, -1, 1, 1, Infinity] - 
      102400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/1280, 
 S[-1, -1, 1, 2, -1, 1, 1, Infinity] -> (-9*S[-1, Infinity]^8)/4480 + 
   (7939*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1164189*S[2, Infinity]^4)/56000 + 
   ((1791*S[-1, Infinity]^2)/224 - (1111*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((-1301*S[-1, Infinity]^3)/48 + 
     (31645*S[-1, Infinity]*S[2, Infinity])/224 + (89519*S[3, Infinity])/
      1024)*S[5, Infinity] + (835367*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/320 - 
     (587*S[-1, 1, 1, 1, Infinity])/40) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-853*S[-1, Infinity]^5)/960 + 
     (279*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (311403*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (459*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-715*S[-5, -1, Infinity] - 18*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (3*S[-1, Infinity]^2*(825*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(387*S[-5, 1, 1, Infinity] - 383*S[5, -1, -1, Infinity] - 
      1512*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3069760*S[-7, -1, Infinity] + 482737*S[5, 3, Infinity] + 
     311040*S[-5, -1, -1, -1, Infinity] + 308480*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 1331200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, -1, 1, 2, -1, 1, -1, Infinity] -> 
  (59*S[-1, Infinity]^8)/40320 + (8811*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (812501*S[2, Infinity]^4)/49000 + 
   ((2367*S[-1, Infinity]^2)/256 - (107559*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1301*S[-1, Infinity]^3)/48 + 
     (3667*S[-1, Infinity]*S[2, Infinity])/32 + (8861*S[3, Infinity])/112)*
    S[5, Infinity] + (835367*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((761*S[-1, Infinity]^4)/2240 - 
     (549*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-653*S[-1, Infinity]^5)/840 + 
     (1327*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2393*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (2717*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-71*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(2929*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(53*S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(387*S[-5, 1, 1, Infinity] - 383*S[5, -1, -1, Infinity] - 
      1512*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(3078080*S[-7, -1, Infinity] + 474739*S[5, 3, Infinity] + 
      309760*S[-5, -1, -1, -1, Infinity] + 312960*S[-5, -1, 1, 1, Infinity] - 
      1344000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, -1, 1, 2, -1, -1, 1, Infinity] -> (19*S[-1, Infinity]^8)/1680 + 
   (16201*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1449687*S[2, Infinity]^4)/49000 + 
   ((6327*S[-1, Infinity]^2)/896 - (124849*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-17507*S[-1, Infinity]^3)/384 + 
     (265487*S[-1, Infinity]*S[2, Infinity])/896 + (74619*S[3, Infinity])/
      448)*S[5, Infinity] + (198671*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-407*S[-1, Infinity]^4)/560 - 
     (758*S[-1, 1, 1, 1, Infinity])/35) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-10609*S[-1, Infinity]^5)/6720 + 
     (5231*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (297501*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (2689*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-4621*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-18659*S[-5, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(561*S[-5, 1, 1, Infinity] - 748*S[5, -1, -1, Infinity] - 
      2436*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1274960*S[-7, -1, Infinity] + 202199*S[5, 3, Infinity] + 
     140800*S[-5, -1, -1, -1, Infinity] + 121280*S[-5, -1, 1, 1, Infinity] - 
     506240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -1, 1, 2, -1, -1, -1, Infinity] -> (-11*S[-1, Infinity]^8)/10080 + 
   (4073*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (4851613*S[2, Infinity]^4)/156800 + 
   ((2727*S[-1, Infinity]^2)/448 - (32595*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-17507*S[-1, Infinity]^3)/384 + 
     (284111*S[-1, Infinity]*S[2, Infinity])/896 + (308695*S[3, Infinity])/
      1792)*S[5, Infinity] + (198671*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-221*S[-1, Infinity]^4)/224 - 
     (3573*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-5347*S[-1, Infinity]^5)/3360 + 
     (2663*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (315377*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1447*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((133*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(3173*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(1605*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(561*S[-5, 1, 1, Infinity] - 748*S[5, -1, -1, Infinity] - 
      2436*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-705792*S[-7, -1, Infinity] - 114665*S[5, 3, Infinity] - 
      79232*S[-5, -1, -1, -1, Infinity] - 65472*S[-5, -1, 1, 1, Infinity] + 
      2688*S[-1, 1, 1, 1, Infinity]^2 + 284928*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1792, S[-1, -1, 1, 1, 2, 1, 1, Infinity] -> 
  (53*S[-1, Infinity]^8)/20160 + (213*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1193723*S[2, Infinity]^4)/392000 + 
   ((23*S[-1, Infinity]^2)/16 - (661*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-593*S[-1, Infinity]^3)/128 + (1303*S[-1, Infinity]*S[2, Infinity])/
      128 + (11491*S[3, Infinity])/1792)*S[5, Infinity] + 
   (136197*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((349*S[-1, Infinity]^4)/3360 + 
     (67*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-773*S[-1, Infinity]^5)/6720 + 
     (225*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (539*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-173*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   5*S[-1, Infinity]^2*(S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) - (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 
      53*S[5, -1, -1, Infinity] - 560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (350720*S[-7, -1, Infinity] + 94811*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 313600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, 1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/2240 - (211*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2331649*S[2, Infinity]^4)/392000 + 
   ((1067*S[-1, Infinity]^2)/448 - (717*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-593*S[-1, Infinity]^3)/128 - 
     (8927*S[-1, Infinity]*S[2, Infinity])/896 + (1915*S[3, Infinity])/896)*
    S[5, Infinity] + (136197*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((397*S[-1, Infinity]^4)/3360 - 
     (363*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-209*S[-1, Infinity]^5)/6720 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (773*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-549*S[-5, -1, Infinity] - 
       140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] - 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[-1, -1, 1, 1, 2, -1, 1, Infinity] -> (7*S[-1, Infinity]^8)/1440 + 
   (87*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (8531917*S[2, Infinity]^4)/
    784000 + ((211*S[-1, Infinity]^2)/112 - (6511*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-35*S[-1, Infinity]^3)/4 + 
     (30479*S[-1, Infinity]*S[2, Infinity])/448 + (895*S[3, Infinity])/56)*
    S[5, Infinity] + (62749*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((631*S[-1, Infinity]^4)/3360 - 
     (1177*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2419*S[-1, Infinity]^5)/6720 + 
     (2405*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (61249*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (645*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-271*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-4141*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (2440320*S[-7, -1, Infinity] + 346707*S[5, 3, Infinity] + 
     243840*S[-5, -1, -1, -1, Infinity] + 210880*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 1442560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, 1, 2, -1, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/5040 + (3153*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (169453*S[2, Infinity]^4)/15680 + 
   ((53*S[-1, Infinity]^2)/224 - (9039*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-35*S[-1, Infinity]^3)/4 + 
     (46223*S[-1, Infinity]*S[2, Infinity])/448 + (81401*S[3, Infinity])/
      3584)*S[5, Infinity] + (62749*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/420 - 
     (1537*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3403*S[-1, Infinity]^5)/6720 + 
     (3389*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (90277*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (372*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/144 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(-439*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-353*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (1203648*S[-7, -1, Infinity] + 194767*S[5, 3, Infinity] + 
     139520*S[-5, -1, -1, -1, Infinity] + 82688*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 673792*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, -1, 1, 1, 1, 2, 1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/40320 - (61*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1955329*S[2, Infinity]^4)/784000 + 
   ((-1747*S[-1, Infinity]^2)/896 + (717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1093*S[-1, Infinity]^3)/384 + 
     (4311*S[-1, Infinity]*S[2, Infinity])/896 + (1221*S[3, Infinity])/1792)*
    S[5, Infinity] - (28107*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/1344 + 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((271*S[-1, Infinity]^5)/3360 - 
     (53*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (689*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (215*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 - 
   (5*S[-1, Infinity]^2*(-4*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/288 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (549*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] + 
     134400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, 1, 1, 1, 2, -1, Infinity] -> S[-1, Infinity]^8/20160 + 
   (187*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1355009*S[2, Infinity]^4)/392000 + 
   ((-887*S[-1, Infinity]^2)/448 + (717*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1093*S[-1, Infinity]^3)/384 + 
     (4887*S[-1, Infinity]*S[2, Infinity])/896 - (5051*S[3, Infinity])/896)*
    S[5, Infinity] - (28107*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-341*S[-1, Infinity]^4)/3360 + 
     (363*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((131*S[-1, Infinity]^5)/1680 - (25*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (79*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (103*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (549*S[-5, -1, Infinity] + 
       70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      308*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[-1, -1, 1, 1, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/4480 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (543387*S[2, Infinity]^4)/
    784000 + ((325*S[-1, Infinity]^2)/448 + (121*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/192 - 
     (1191*S[-1, Infinity]*S[2, Infinity])/448 - (3275*S[3, Infinity])/3584)*
    S[5, Infinity] + (123*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/6720 - 
     (41*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/336 + (9*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (93*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-2*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (-185*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (60800*S[-7, -1, Infinity] - 7211*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 26240*S[-5, -1, 1, 1, Infinity] - 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, 1, 1, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/6720 - 
   (73*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (13693*S[2, Infinity]^4)/5600 + ((5*S[-1, Infinity]^2)/8 - 
     (3*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-125*S[-1, Infinity]^3)/192 - (33*S[-1, Infinity]*S[2, Infinity])/64 + 
     (85*S[3, Infinity])/128)*S[5, Infinity] + 
   (123*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/240 - (9*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(-S[-1, Infinity]^5/24 + 
     (S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[2, Infinity]*(-15*S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2 - (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (2304*S[-7, -1, Infinity] + 201*S[5, 3, Infinity] + 
     384*S[-5, -1, 1, 1, Infinity] - 1280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[-1, -1, 1, 1, 1, -1, 2, Infinity] -> 
  (-23*S[-1, Infinity]^8)/2240 - (271*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (32317*S[2, Infinity]^4)/112000 + 
   ((-71*S[-1, Infinity]^2)/128 - (495*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-187*S[-1, Infinity]^3)/192 + 
     (S[-1, Infinity]*S[2, Infinity])/32 - (8545*S[3, Infinity])/1024)*
    S[5, Infinity] + (10303*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/120 - 
     (21*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/80 - 
     (49*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (421*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/144 - 6*S[-5, -1, Infinity] - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (105920*S[-7, -1, Infinity] + 13307*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] - 
     23040*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, -1, 1, 1, 1, -1, -2, Infinity] -> 
  (-17*S[-1, Infinity]^8)/2240 + (S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (232713*S[2, Infinity]^4)/784000 + 
   ((-407*S[-1, Infinity]^2)/896 - (19*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-187*S[-1, Infinity]^3)/192 - (473*S[-1, Infinity]*S[2, Infinity])/224 + 
     (1885*S[3, Infinity])/7168)*S[5, Infinity] + 
   (10303*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-115*S[-1, Infinity]^4)/672 + 
     (13*S[-1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((223*S[-1, Infinity]^5)/2240 - 
     (403*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (295*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (123*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/360 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-101*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (217920*S[-7, -1, Infinity] + 26017*S[5, 3, Infinity] + 
     19200*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, 1, 1, -2, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/4032 - (243*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1160451*S[2, Infinity]^4)/784000 + 
   ((-141*S[-1, Infinity]^2)/1792 + (13187*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((385*S[-1, Infinity]^3)/128 - 
     (14043*S[-1, Infinity]*S[2, Infinity])/896 + (83*S[3, Infinity])/3584)*
    S[5, Infinity] - (49225*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/1120 + 
     (411*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/1120 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (6613*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (325*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (174*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(131*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1066560*S[-7, -1, Infinity] - 167117*S[5, 3, Infinity] - 
     130560*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 698880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, 1, 1, -2, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/8064 - (85*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (7291*S[2, Infinity]^4)/2000 + ((39*S[-1, Infinity]^2)/1792 + 
     (2017*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((385*S[-1, Infinity]^3)/128 - (15963*S[-1, Infinity]*S[2, Infinity])/
      896 - (45*S[3, Infinity])/64)*S[5, Infinity] - 
   (49225*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/320 + 
     (27*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/160 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (3749*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (55*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(141*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (77*S[-5, -1, Infinity] + 20*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-19720*S[-7, -1, Infinity] - 3419*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 720*S[-5, -1, 1, 1, Infinity] + 
     480*S[-1, 1, 1, 1, Infinity]^2 + 17280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/320, S[-1, -1, 1, 1, -1, 2, 1, Infinity] -> 
  (-125*S[-1, Infinity]^8)/8064 - (2993*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (2761061*S[2, Infinity]^4)/784000 + 
   ((-8327*S[-1, Infinity]^2)/1792 + (16255*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2023*S[-1, Infinity]^3)/384 - 
     (16951*S[-1, Infinity]*S[2, Infinity])/896 - (19451*S[3, Infinity])/896)*
    S[5, Infinity] - (89935*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1339*S[-1, Infinity]^4)/6720 - 
     (349*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((2587*S[-1, Infinity]^5)/6720 - 
     (1817*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (29097*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (653*S[-1, 1, 1, 1, 1, Infinity])/28) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((35*S[-1, Infinity]^6)/288 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (2*(-72*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(47*S[-5, -1, Infinity] + 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-143*S[-5, 1, 1, Infinity] + 46*S[5, -1, -1, Infinity] + 
      588*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-681920*S[-7, -1, Infinity] - 118801*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] - 69760*S[-5, -1, 1, 1, Infinity] - 
     58240*S[-1, 1, 1, 1, Infinity]^2 + 394240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, 1, -1, 2, -1, Infinity] -> 
  (-149*S[-1, Infinity]^8)/8064 - (921*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (184607*S[2, Infinity]^4)/39200 + 
   ((-8525*S[-1, Infinity]^2)/1792 + (14387*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2023*S[-1, Infinity]^3)/384 - 
     (15973*S[-1, Infinity]*S[2, Infinity])/896 - (2281*S[3, Infinity])/224)*
    S[5, Infinity] - (89935*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1453*S[-1, Infinity]^4)/6720 + 
     (151*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((563*S[-1, Infinity]^5)/1344 - 
     (401*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3651*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (767*S[-1, 1, 1, 1, 1, Infinity])/28) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(177*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((157*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1163*S[-5, -1, Infinity] + 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-143*S[-5, 1, 1, Infinity] + 46*S[5, -1, -1, Infinity] + 
      588*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-150912*S[-7, -1, Infinity] - 17615*S[5, 3, Infinity] - 
     10624*S[-5, -1, -1, -1, Infinity] - 14016*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2 + 105728*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, -1, 1, 1, -1, 1, 2, Infinity] -> 
  (113*S[-1, Infinity]^8)/20160 + (349*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (2407991*S[2, Infinity]^4)/2352000 + 
   ((2291*S[-1, Infinity]^2)/896 - (17257*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-393*S[-1, Infinity]^3)/64 + 
     (4467*S[-1, Infinity]*S[2, Infinity])/224 + (101993*S[3, Infinity])/
      7168)*S[5, Infinity] + (13331*S[-1, Infinity]*S[7, Infinity])/512 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((121*S[-1, Infinity]^4)/3360 + 
     (85*S[-1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1247*S[-1, Infinity]^5)/6720 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (8759*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (375*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-107*S[-5, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-313*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity] - 
      30*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (1922880*S[-7, -1, Infinity] + 333533*S[5, 3, Infinity] + 
     311040*S[-5, -1, -1, -1, Infinity] + 101120*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, 1, -1, 1, -2, Infinity] -> 
  (229*S[-1, Infinity]^8)/40320 + (969*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (911929*S[2, Infinity]^4)/470400 + 
   ((1285*S[-1, Infinity]^2)/448 - (5247*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-393*S[-1, Infinity]^3)/64 + 
     (2619*S[-1, Infinity]*S[2, Infinity])/448 + (61423*S[3, Infinity])/7168)*
    S[5, Infinity] + (13331*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((367*S[-1, Infinity]^4)/2240 - 
     (39*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-151*S[-1, Infinity]^5)/840 + 
     (75*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (31939*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (711*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/96 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-613*S[-5, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-251*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity] - 
      30*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (322880*S[-7, -1, Infinity] + 65323*S[5, 3, Infinity] + 
     46336*S[-5, -1, -1, -1, Infinity] + 19968*S[-5, -1, 1, 1, Infinity] + 
     21504*S[-1, 1, 1, 1, Infinity]^2 - 193536*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -1, 1, 1, -1, -1, 2, Infinity] -> 
  (3*S[-1, Infinity]^8)/2240 + (39*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (1064923*S[2, Infinity]^4)/392000 + 
   ((857*S[-1, Infinity]^2)/896 - (5645*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-481*S[-1, Infinity]^3)/96 + 
     (2313*S[-1, Infinity]*S[2, Infinity])/448 + (1255*S[3, Infinity])/112)*
    S[5, Infinity] + (205967*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((559*S[-1, Infinity]^4)/3360 - 
     (383*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-311*S[-1, Infinity]^5)/6720 + 
     (437*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5511*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (45*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-207*S[-5, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-409*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (350720*S[-7, -1, Infinity] + 94811*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] - 
     250880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, 1, 1, -1, -1, -2, Infinity] -> (61*S[-1, Infinity]^8)/6720 + 
   (977*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (23633*S[2, Infinity]^4)/22400 + ((289*S[-1, Infinity]^2)/448 - 
     (1093*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-481*S[-1, Infinity]^3)/96 + (7977*S[-1, Infinity]*S[2, Infinity])/448 + 
     (533*S[3, Infinity])/64)*S[5, Infinity] + 
   (205967*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 + (31*S[-1, 1, 1, 1, Infinity])/
      20) + S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/960 + 
     (89*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (15627*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     15*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-47*S[-1, Infinity]^6)/720 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 5*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-19*S[-5, -1, Infinity] - 
       32*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-269*S[-5, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (12224*S[-7, -1, Infinity] + 1757*S[5, 3, Infinity] + 
     2176*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
     1152*S[-1, 1, 1, 1, Infinity]^2 - 6400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[-1, -1, 1, 1, -1, -2, 1, Infinity] -> 
  (257*S[-1, Infinity]^8)/20160 - (199*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (89*S[2, Infinity]^4)/6125 + 
   ((-533*S[-1, Infinity]^2)/896 + (5195*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((757*S[-1, Infinity]^3)/128 + 
     (61*S[-1, Infinity]*S[2, Infinity])/896 - (733*S[3, Infinity])/448)*
    S[5, Infinity] - (155107*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((803*S[-1, Infinity]^4)/3360 + 
     (291*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-303*S[-1, Infinity]^5)/2240 + 
     (475*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3093*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(83*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/9 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (561*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-23*S[-5, 1, 1, Infinity] + 75*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-369280*S[-7, -1, Infinity] - 36023*S[5, 3, Infinity] - 
     39680*S[-5, -1, -1, -1, Infinity] - 36480*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, 1, -1, -2, -1, Infinity] -> 
  (281*S[-1, Infinity]^8)/20160 - (33*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (922157*S[2, Infinity]^4)/784000 + 
   ((-53*S[-1, Infinity]^2)/128 + (6773*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((757*S[-1, Infinity]^3)/128 - 
     (323*S[-1, Infinity]*S[2, Infinity])/128 - (9113*S[3, Infinity])/3584)*
    S[5, Infinity] - (155107*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((4*S[-1, Infinity]^4)/35 + 
     (211*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-997*S[-1, Infinity]^5)/6720 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (631*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(17*S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (471*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-23*S[-5, 1, 1, Infinity] + 75*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-958400*S[-7, -1, Infinity] - 167231*S[5, 3, Infinity] - 
     102400*S[-5, -1, -1, -1, Infinity] - 117120*S[-5, -1, 1, 1, Infinity] + 
     116480*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, 1, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/1920 + (117*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (1092811*S[2, Infinity]^4)/784000 + 
   ((1137*S[-1, Infinity]^2)/1792 - (3063*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-47*S[-1, Infinity]^3)/16 + 
     (369*S[-1, Infinity]*S[2, Infinity])/448 - (303*S[3, Infinity])/1792)*
    S[5, Infinity] + (134615*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-797*S[-1, Infinity]^4)/6720 + 
     (69*S[-1, 1, 1, 1, Infinity])/35) + 
   (30480*S[-7, -1, Infinity] + 7827*S[5, 3, Infinity] + 
     10560*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/672 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (809*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (145*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-37*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-9*S[-5, -1, Infinity] + 
       196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, -1, 1, 1, -2, 1, -1, Infinity] -> (17*S[-1, Infinity]^8)/40320 - 
   (561*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (658051*S[2, Infinity]^4)/784000 + 
   ((-339*S[-1, Infinity]^2)/1792 - (14435*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-47*S[-1, Infinity]^3)/16 + 
     (8241*S[-1, Infinity]*S[2, Infinity])/448 + (913*S[3, Infinity])/1792)*
    S[5, Infinity] + (134615*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-197*S[-1, Infinity]^4)/1344 - 
     (127*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-331*S[-1, Infinity]^5)/3360 + 
     (67*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1775*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (543*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-697*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-201*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (292240*S[-7, -1, Infinity] + 45803*S[5, 3, Infinity] + 
     36800*S[-5, -1, -1, -1, Infinity] + 16960*S[-5, -1, 1, 1, Infinity] - 
     138880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[-1, -1, 1, 1, -2, -1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/1120 - 
   (1557*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (3240757*S[2, Infinity]^4)/392000 + 
   ((-521*S[-1, Infinity]^2)/896 + (28463*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((709*S[-1, Infinity]^3)/128 - 
     (72085*S[-1, Infinity]*S[2, Infinity])/896 - (26337*S[3, Infinity])/896)*
    S[5, Infinity] - (173353*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-197*S[-1, Infinity]^4)/1680 + 
     (341*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((1579*S[-1, Infinity]^5)/3360 - (1481*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (74029*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (309*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4537*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(1131*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-87*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2512960*S[-7, -1, Infinity] - 386079*S[5, 3, Infinity] - 
     263680*S[-5, -1, -1, -1, Infinity] - 229120*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 1111040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, 1, -2, -1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/1680 - (463*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (1488653*S[2, Infinity]^4)/156800 + 
   ((-269*S[-1, Infinity]^2)/896 + (30003*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((709*S[-1, Infinity]^3)/128 - 
     (77461*S[-1, Infinity]*S[2, Infinity])/896 - (129407*S[3, Infinity])/
      3584)*S[5, Infinity] - (173353*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-611*S[-1, Infinity]^4)/3360 + 
     (1073*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1663*S[-1, Infinity]^5)/3360 - 
     (1565*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (15797*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (807*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2279*S[-5, -1, Infinity] - 
       98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(1187*S[-5, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-87*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1058496*S[-7, -1, Infinity] - 164569*S[5, 3, Infinity] - 
     112640*S[-5, -1, -1, -1, Infinity] - 90752*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 526848*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, -1, 1, -1, 2, 1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/2880 + (213*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (39617*S[2, Infinity]^4)/196000 + 
   ((6925*S[-1, Infinity]^2)/1792 - (3879*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-187*S[-1, Infinity]^3)/32 - 
     (783*S[-1, Infinity]*S[2, Infinity])/448 + (54347*S[3, Infinity])/3584)*
    S[5, Infinity] + (15453*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/70 + 
     (397*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1201*S[-1, Infinity]^5)/6720 + 
     (363*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (11689*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (725*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-167*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-59*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-725*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (461120*S[-7, -1, Infinity] + 105631*S[5, 3, Infinity] + 
     39680*S[-5, -1, -1, -1, Infinity] + 67840*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, -1, 2, 1, -1, Infinity] -> 
  (33*S[-1, Infinity]^8)/4480 + (229*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2578609*S[2, Infinity]^4)/784000 + 
   ((1725*S[-1, Infinity]^2)/448 - (4191*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-187*S[-1, Infinity]^3)/32 + 
     (3009*S[-1, Infinity]*S[2, Infinity])/448 + (182079*S[3, Infinity])/
      7168)*S[5, Infinity] + (15453*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-159*S[-1, Infinity]^4)/1120 + 
     (111*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/224 + 
     (393*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (47259*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1305*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-519*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(41*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3*(905920*S[-7, -1, Infinity] + 120537*S[5, 3, Infinity] + 
      60160*S[-5, -1, -1, -1, Infinity] + 136960*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -1, 2, -1, 1, Infinity] -> 
  (247*S[-1, Infinity]^8)/40320 - (69*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (4652919*S[2, Infinity]^4)/392000 + 
   ((5379*S[-1, Infinity]^2)/1792 + (32947*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-415*S[-1, Infinity]^3)/384 - 
     (36313*S[-1, Infinity]*S[2, Infinity])/896 - (214953*S[3, Infinity])/
      7168)*S[5, Infinity] + (18813*S[-1, Infinity]*S[7, Infinity])/448 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((2587*S[-1, Infinity]^4)/6720 + 
     (151*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/224 - (461*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (70717*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (745*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (19*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/240 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (19*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (5*(1019*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(761*S[-5, -1, Infinity] - 
      840*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (6*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-7489600*S[-7, -1, Infinity] - 1223897*S[5, 3, Infinity] - 
     531200*S[-5, -1, -1, -1, Infinity] - 1072640*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 + 3046400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, -1, 2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/180 + (589*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (4836411*S[2, Infinity]^4)/392000 + 
   ((207*S[-1, Infinity]^2)/112 + (1977*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-415*S[-1, Infinity]^3)/384 - 
     (36217*S[-1, Infinity]*S[2, Infinity])/896 - (103391*S[3, Infinity])/
      3584)*S[5, Infinity] + (18813*S[-1, Infinity]*S[7, Infinity])/448 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((443*S[-1, Infinity]^4)/840 + 
     (78*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((1193*S[-1, Infinity]^5)/6720 - (409*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (22731*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (1013*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (19*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/90 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (19*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (668*S[-5, -1, Infinity] - 
       105*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (5*S[-1, Infinity]^2*(19*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (6*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*(-1368000*S[-7, -1, Infinity] - 185663*S[5, 3, Infinity] - 
      88320*S[-5, -1, -1, -1, Infinity] - 189440*S[-5, -1, 1, 1, Infinity] + 
      35840*S[-1, 1, 1, 1, Infinity]^2 + 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-1, -1, 1, -1, 1, 2, 1, Infinity] -> 
  (-41*S[-1, Infinity]^8)/4032 - (2557*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (649939*S[2, Infinity]^4)/392000 + 
   ((-5853*S[-1, Infinity]^2)/1792 + (21241*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2953*S[-1, Infinity]^3)/384 - 
     (13679*S[-1, Infinity]*S[2, Infinity])/896 - (125353*S[3, Infinity])/
      3584)*S[5, Infinity] - (184931*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/140 - 
     (31*S[-1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((937*S[-1, Infinity]^5)/3360 - 
     (671*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (28297*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (297*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/72 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (769*S[-5, -1, Infinity] - 154*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^2*(79*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-80*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-362080*S[-7, -1, Infinity] - 76299*S[5, 3, Infinity] - 
     45440*S[-5, -1, -1, -1, Infinity] - 36320*S[-5, -1, 1, 1, Infinity] - 
     20160*S[-1, 1, 1, 1, Infinity]^2 + 85120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -1, 1, -1, 1, 2, -1, Infinity] -> 
  (-85*S[-1, Infinity]^8)/8064 - (883*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (412987*S[2, Infinity]^4)/156800 + 
   ((-1029*S[-1, Infinity]^2)/256 + (11773*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2953*S[-1, Infinity]^3)/384 + 
     (47*S[-1, Infinity]*S[2, Infinity])/64 - (49813*S[3, Infinity])/3584)*
    S[5, Infinity] - (184931*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-179*S[-1, Infinity]^4)/2240 - 
     (97*S[-1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((859*S[-1, Infinity]^5)/3360 - 
     (745*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     8*S[-1, Infinity]*S[2, Infinity]^2 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (129*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((131*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(373*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (5*S[-1, Infinity]^2*(7*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-80*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-71024*S[-7, -1, Infinity] - 7995*S[5, 3, Infinity] - 
     4288*S[-5, -1, -1, -1, Infinity] - 11392*S[-5, -1, 1, 1, Infinity] - 
     4032*S[-1, 1, 1, 1, Infinity]^2 + 30464*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[-1, -1, 1, -1, 1, 1, 2, Infinity] -> 
  (13*S[-1, Infinity]^8)/3360 - (57*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1403341*S[2, Infinity]^4)/1176000 + 
   ((-1703*S[-1, Infinity]^2)/896 + (1755*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((547*S[-1, Infinity]^3)/128 + 
     (1431*S[-1, Infinity]*S[2, Infinity])/896 + (9327*S[3, Infinity])/3584)*
    S[5, Infinity] - (119051*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-227*S[-1, Infinity]^4)/3360 + 
     (89*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((61*S[-1, Infinity]^5)/6720 - (53*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (2203*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(117*S[-5, -1, Infinity] + 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (115*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-60*S[-5, 1, 1, Infinity] + 59*S[5, -1, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-429120*S[-7, -1, Infinity] - 25973*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 268800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, -1, 1, 1, -2, Infinity] -> 
  (3*S[-1, Infinity]^8)/2240 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + 
   (11779*S[2, Infinity]^4)/7350 + ((-2461*S[-1, Infinity]^2)/1792 + 
     (9803*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((547*S[-1, Infinity]^3)/128 - (7935*S[-1, Infinity]*S[2, Infinity])/896 - 
     (48959*S[3, Infinity])/7168)*S[5, Infinity] - 
   (119051*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/672 + 
     (67*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((47*S[-1, Infinity]^5)/840 - (79*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (21311*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (397*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(111*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (94*S[-5, -1, Infinity] + 49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-60*S[-5, 1, 1, Infinity] + 59*S[5, -1, -1, Infinity] + 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-242880*S[-7, -1, Infinity] - 53603*S[5, 3, Infinity] - 
     38656*S[-5, -1, -1, -1, Infinity] - 13312*S[-5, -1, 1, 1, Infinity] + 
     86016*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, -1, 1, -1, 1, -1, 2, Infinity] -> (-29*S[-1, Infinity]^8)/4480 - 
   (1833*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1094773*S[2, Infinity]^4)/784000 + 
   ((-5135*S[-1, Infinity]^2)/1792 + (12463*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((857*S[-1, Infinity]^3)/128 - 
     (11659*S[-1, Infinity]*S[2, Infinity])/896 - (22079*S[3, Infinity])/
      7168)*S[5, Infinity] - (254319*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-587*S[-1, Infinity]^4)/6720 - 
     (249*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1321*S[-1, Infinity]^5)/6720 - 
     (347*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (41023*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (185*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(257*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/288 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (251*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-95*S[-5, 1, 1, Infinity] + 129*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1846080*S[-7, -1, Infinity] - 239833*S[5, 3, Infinity] - 
     282880*S[-5, -1, -1, -1, Infinity] - 111360*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, -1, 1, -1, -2, Infinity] -> 
  (-11*S[-1, Infinity]^8)/1680 - (1107*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (806221*S[2, Infinity]^4)/392000 + 
   ((-95*S[-1, Infinity]^2)/28 + (12169*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((857*S[-1, Infinity]^3)/128 - 
     (821*S[-1, Infinity]*S[2, Infinity])/448 - (27365*S[3, Infinity])/1792)*
    S[5, Infinity] - (254319*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-367*S[-1, Infinity]^4)/3360 - 
     (207*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1153*S[-1, Infinity]^5)/6720 - 
     (121*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (5809*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (143*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(19*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/288 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (607*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-95*S[-5, 1, 1, Infinity] + 129*S[5, -1, -1, Infinity] + 
      364*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-46560*S[-7, -1, Infinity] - 8909*S[5, 3, Infinity] - 
     4640*S[-5, -1, -1, -1, Infinity] - 5160*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2 + 20160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, -1, 1, -1, 1, -2, 1, Infinity] -> 
  (7*S[-1, Infinity]^8)/5760 - (493*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (451541*S[2, Infinity]^4)/392000 + 
   ((-1695*S[-1, Infinity]^2)/896 + (8361*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2891*S[-1, Infinity]^3)/384 - 
     (14065*S[-1, Infinity]*S[2, Infinity])/896 - (39307*S[3, Infinity])/
      7168)*S[5, Infinity] - (281851*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/448 + 
     (41*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((521*S[-1, Infinity]^5)/6720 - (197*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (7477*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (139*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(171*S[-5, -1, Infinity] + 
      154*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/288 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (353*S[-5, -1, Infinity] + 
       308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-97*S[-5, 1, 1, Infinity] + 127*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2018880*S[-7, -1, Infinity] - 404563*S[5, 3, Infinity] - 
     341760*S[-5, -1, -1, -1, Infinity] - 52480*S[-5, -1, 1, 1, Infinity] + 
     967680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 1, -1, 1, -2, -1, Infinity] -> (31*S[-1, Infinity]^8)/20160 - 
   (1487*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1156303*S[2, Infinity]^4)/784000 + 
   ((-1083*S[-1, Infinity]^2)/896 + (11989*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2891*S[-1, Infinity]^3)/384 - 
     (13529*S[-1, Infinity]*S[2, Infinity])/448 - (107017*S[3, Infinity])/
      7168)*S[5, Infinity] - (281851*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/224 + S[-1, 1, 1, 1, Infinity]/
      14) + S[3, Infinity]*((733*S[-1, Infinity]^5)/6720 - 
     (311*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (56053*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(239*S[-5, -1, Infinity] + 
      154*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (167*S[-5, -1, Infinity] + 
       154*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-97*S[-5, 1, 1, Infinity] + 127*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2320960*S[-7, -1, Infinity] - 497013*S[5, 3, Infinity] - 
     515840*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] + 
     501760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 1, -1, -1, 2, 1, Infinity] -> (-29*S[-1, Infinity]^8)/2880 - 
   (1469*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1121483*S[2, Infinity]^4)/392000 + 
   ((-2633*S[-1, Infinity]^2)/896 + (5463*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2023*S[-1, Infinity]^3)/384 - 
     (10943*S[-1, Infinity]*S[2, Infinity])/896 - (8871*S[3, Infinity])/896)*
    S[5, Infinity] - (49635*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1133*S[-1, Infinity]^4)/3360 - 
     (457*S[-1, 1, 1, 1, Infinity])/280) + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((291*S[-1, Infinity]^5)/1120 - 
     (235*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (10041*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (481*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(335*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (325*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      98*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-350720*S[-7, -1, Infinity] - 94811*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, -1, -1, 2, -1, Infinity] -> 
  (-83*S[-1, Infinity]^8)/6720 - (2159*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (2053589*S[2, Infinity]^4)/784000 + 
   ((-647*S[-1, Infinity]^2)/224 + (1627*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((2023*S[-1, Infinity]^3)/384 - 
     (3401*S[-1, Infinity]*S[2, Infinity])/224 - (56513*S[3, Infinity])/1792)*
    S[5, Infinity] - (49635*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((179*S[-1, Infinity]^4)/420 - 
     (627*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((271*S[-1, Infinity]^5)/840 - 
     (475*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (24691*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (173*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(-135*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(-115*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] - 
      98*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*(126400*S[-7, -1, Infinity] + 24413*S[5, 3, Infinity] + 
      19840*S[-5, -1, -1, -1, Infinity] + 13760*S[-5, -1, 1, 1, Infinity] + 
      22400*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[-1, -1, 1, -1, -1, 1, 2, Infinity] -> 
  (107*S[-1, Infinity]^8)/20160 - (1307*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (830029*S[2, Infinity]^4)/392000 + 
   ((-355*S[-1, Infinity]^2)/256 + (13969*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((3005*S[-1, Infinity]^3)/384 - 
     (51*S[-1, Infinity]*S[2, Infinity])/128 - (120049*S[3, Infinity])/7168)*
    S[5, Infinity] - (139507*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((199*S[-1, Infinity]^4)/3360 + 
     (267*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/112 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3361*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (211*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(173*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (9*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2 - (S[-1, Infinity]*(-18*S[-5, 1, 1, Infinity] + 
      38*S[5, -1, -1, Infinity] + 105*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*(-634560*S[-7, -1, Infinity] - 148699*S[5, 3, Infinity] - 
      90880*S[-5, -1, -1, -1, Infinity] - 61440*S[-5, -1, 1, 1, Infinity] + 
      35840*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -1, -1, 1, -2, Infinity] -> 
  (-13*S[-1, Infinity]^8)/5040 - (37*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (1000217*S[2, Infinity]^4)/784000 + 
   ((-41*S[-1, Infinity]^2)/32 + (16573*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((3005*S[-1, Infinity]^3)/384 - 
     (1491*S[-1, Infinity]*S[2, Infinity])/128 - (4273*S[3, Infinity])/448)*
    S[5, Infinity] - (139507*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-473*S[-1, Infinity]^4)/3360 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/224 - (233*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1883*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (79*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(-9*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-18*S[-5, 1, 1, Infinity] + 38*S[5, -1, -1, Infinity] + 
      105*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (3*(144640*S[-7, -1, Infinity] + 22739*S[5, 3, Infinity] + 
      24960*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] + 
      4480*S[-1, 1, 1, 1, Infinity]^2 - 62720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[-1, -1, 1, -1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/1120 - (409*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (386763*S[2, Infinity]^4)/196000 + 
   ((-2421*S[-1, Infinity]^2)/896 + (4077*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((3005*S[-1, Infinity]^3)/384 - 
     (6173*S[-1, Infinity]*S[2, Infinity])/448 - (12793*S[3, Infinity])/896)*
    S[5, Infinity] - (95731*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/280 + 
     (41*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((199*S[-1, Infinity]^5)/3360 - (19*S[-1, Infinity]^3*S[2, Infinity])/
      21 - (7613*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (227*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(295*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (349*S[-5, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] + 65*S[5, -1, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-403520*S[-7, -1, Infinity] - 67367*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, 1, -1, -1, -1, -2, Infinity] -> (13*S[-1, Infinity]^8)/13440 - 
   (709*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (674337*S[2, Infinity]^4)/196000 + 
   ((-5031*S[-1, Infinity]^2)/1792 + (10029*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((3005*S[-1, Infinity]^3)/384 + 
     (3593*S[-1, Infinity]*S[2, Infinity])/896 - (113663*S[3, Infinity])/
      7168)*S[5, Infinity] - (95731*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/2240 + 
     (83*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((629*S[-1, Infinity]^5)/6720 - (545*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (24971*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (685*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (313*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(137*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] + 65*S[5, -1, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1782080*S[-7, -1, Infinity] - 442697*S[5, 3, Infinity] - 
     244480*S[-5, -1, -1, -1, Infinity] - 212480*S[-5, -1, 1, 1, Infinity] + 
     609280*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 1, -1, -1, -2, 1, Infinity] -> (15*S[-1, Infinity]^8)/896 + 
   (361*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (577831*S[2, Infinity]^4)/784000 + 
   ((5857*S[-1, Infinity]^2)/1792 + (13285*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1403*S[-1, Infinity]^3)/384 - 
     (8395*S[-1, Infinity]*S[2, Infinity])/896 + (5759*S[3, Infinity])/7168)*
    S[5, Infinity] - (8601*S[-1, Infinity]*S[7, Infinity])/448 - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((163*S[-1, Infinity]^4)/6720 + 
     (93*S[-1, 1, 1, 1, Infinity])/14) + 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1817*S[-1, Infinity]^5)/6720 + 
     (893*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (4303*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (235*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/288 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(151*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (3*S[-1, Infinity]^2*(79*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(-614720*S[-7, -1, Infinity] - 106677*S[5, 3, Infinity] - 
      113920*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] + 
      89600*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -1, -1, -2, -1, Infinity] -> 
  (65*S[-1, Infinity]^8)/2688 + (3341*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (638437*S[2, Infinity]^4)/392000 + 
   ((5641*S[-1, Infinity]^2)/1792 + (12217*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1403*S[-1, Infinity]^3)/384 - 
     (2195*S[-1, Infinity]*S[2, Infinity])/448 + (114797*S[3, Infinity])/
      7168)*S[5, Infinity] - (8601*S[-1, Infinity]*S[7, Infinity])/448 - 
   (31*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-2951*S[-1, Infinity]^4)/6720 + 
     (2349*S[-1, 1, 1, 1, Infinity])/280) + 
   (11*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-2477*S[-1, Infinity]^5)/6720 + 
     (671*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (8177*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (895*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(243*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(71*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(-658880*S[-7, -1, Infinity] - 131907*S[5, 3, Infinity] - 
      103680*S[-5, -1, -1, -1, Infinity] - 30720*S[-5, -1, 1, 1, Infinity] + 
      143360*S[-1, 1, 1, 1, Infinity]^2 + 322560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -1, -2, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/20160 + (933*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (72759*S[2, Infinity]^4)/78400 + 
   ((2745*S[-1, Infinity]^2)/896 - (11031*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1213*S[-1, Infinity]^3)/128 + 
     (15661*S[-1, Infinity]*S[2, Infinity])/896 + (19195*S[3, Infinity])/
      1792)*S[5, Infinity] + (369489*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/672 - 
     (73*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-247*S[-1, Infinity]^5)/2240 + 
     (839*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2281*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (395*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-353*S[-5, -1, Infinity] - 126*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-185*S[-5, -1, Infinity] - 
      126*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(142*S[-5, 1, 1, Infinity] - 173*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (133120*S[-7, -1, Infinity] + 19765*S[5, 3, Infinity] + 
     18944*S[-5, -1, -1, -1, Infinity] + 7936*S[-5, -1, 1, 1, Infinity] - 
     60928*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[-1, -1, 1, -1, -2, 1, -1, Infinity] -> (-53*S[-1, Infinity]^8)/40320 + 
   (2309*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2031553*S[2, Infinity]^4)/784000 + 
   ((7355*S[-1, Infinity]^2)/1792 - (16005*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1213*S[-1, Infinity]^3)/128 + 
     (3085*S[-1, Infinity]*S[2, Infinity])/896 + (105267*S[3, Infinity])/
      7168)*S[5, Infinity] + (369489*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((661*S[-1, Infinity]^4)/3360 - 
     (51*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-107*S[-1, Infinity]^5)/1120 + 
     (361*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (4563*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (321*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-205*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-239*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(142*S[-5, 1, 1, Infinity] - 173*S[5, -1, -1, Infinity] - 
      532*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(794560*S[-7, -1, Infinity] + 129789*S[5, 3, Infinity] + 
      70400*S[-5, -1, -1, -1, Infinity] + 108800*S[-5, -1, 1, 1, Infinity] - 
      179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, -1, 1, -1, -2, -1, 1, Infinity] -> (-43*S[-1, Infinity]^8)/5040 + 
   (1067*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1082539*S[2, Infinity]^4)/98000 + 
   ((2469*S[-1, Infinity]^2)/1792 - (34515*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1153*S[-1, Infinity]^3)/192 + 
     (16547*S[-1, Infinity]*S[2, Infinity])/448 + (148663*S[3, Infinity])/
      7168)*S[5, Infinity] + (4119*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((-443*S[-1, Infinity]^4)/3360 - 
     (1503*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (13*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-107*S[-1, Infinity]^5)/672 + 
     (1021*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (93837*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1025*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (5*S[-1, Infinity]^2*(41*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((169*S[-1, Infinity]^6)/1440 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-5095*S[-5, -1, Infinity] + 
       924*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-2889280*S[-7, -1, Infinity] - 405581*S[5, 3, Infinity] - 
      200960*S[-5, -1, -1, -1, Infinity] - 354560*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -1, -2, -1, -1, Infinity] -> 
  (-317*S[-1, Infinity]^8)/40320 - (71*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (46069*S[2, Infinity]^4)/3500 + 
   ((-111*S[-1, Infinity]^2)/112 - (483*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((-1153*S[-1, Infinity]^3)/192 + 
     (28211*S[-1, Infinity]*S[2, Infinity])/448 + (7327*S[3, Infinity])/256)*
    S[5, Infinity] + (4119*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/192 - 
     (45*S[-1, 1, 1, 1, Infinity])/4) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (13*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/960 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (29949*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (167*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-1063*S[-5, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/288 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-196*S[-5, -1, Infinity] + 
       15*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-31680*S[-7, -1, Infinity] - 4799*S[5, 3, Infinity] - 
      2720*S[-5, -1, -1, -1, Infinity] - 3440*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2 + 15680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/320, S[-1, -1, 1, -2, 1, 1, 1, Infinity] -> 
  (-79*S[-1, Infinity]^8)/40320 + (1223*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (365457*S[2, Infinity]^4)/392000 + 
   ((1045*S[-1, Infinity]^2)/896 - (1723*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-175*S[-1, Infinity]^3)/32 + 
     (8045*S[-1, Infinity]*S[2, Infinity])/448 + (21657*S[3, Infinity])/3584)*
    S[5, Infinity] + (67773*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (167*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((101*S[-1, Infinity]^4)/2240 - 
     (443*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-163*S[-1, Infinity]^5)/3360 + 
     (247*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1909*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (275*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-197*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (129880*S[-7, -1, Infinity] + 20581*S[5, 3, Infinity] + 
     17280*S[-5, -1, -1, -1, Infinity] + 9600*S[-5, -1, 1, 1, Infinity] - 
     42560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[-1, -1, 1, -2, 1, 1, -1, Infinity] -> (61*S[-1, Infinity]^8)/40320 + 
   (365*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (598149*S[2, Infinity]^4)/392000 + 
   ((995*S[-1, Infinity]^2)/448 - (9*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-175*S[-1, Infinity]^3)/32 - (2035*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1245*S[3, Infinity])/448)*S[5, Infinity] + 
   (67773*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((633*S[-1, Infinity]^4)/2240 + 
     (397*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((157*S[-1, Infinity]^5)/6720 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (3411*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (89*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/1440 + (38*S[-5, -1, Infinity])/
      7 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-257920*S[-7, -1, Infinity] - 6061*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 39680*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, -2, 1, -1, 1, Infinity] -> 
  (109*S[-1, Infinity]^8)/40320 + (7543*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (11723447*S[2, Infinity]^4)/784000 + 
   ((2223*S[-1, Infinity]^2)/896 - (30479*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-511*S[-1, Infinity]^3)/24 + 
     (65111*S[-1, Infinity]*S[2, Infinity])/448 + (19479*S[3, Infinity])/224)*
    S[5, Infinity] + (92279*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (2201*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-377*S[-1, Infinity]^4)/448 - 
     (2689*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1809*S[-1, Infinity]^5)/2240 + 
     (845*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (36623*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2661*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((113*S[-1, Infinity]^6)/1440 - (9207*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity] - 
      144*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (4919520*S[-7, -1, Infinity] + 802867*S[5, 3, Infinity] + 
     549760*S[-5, -1, -1, -1, Infinity] + 480640*S[-5, -1, 1, 1, Infinity] - 
     1926400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, 1, -2, 1, -1, -1, Infinity] -> (-391*S[-1, Infinity]^8)/40320 + 
   (387*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (7182769*S[2, Infinity]^4)/
    392000 + ((3519*S[-1, Infinity]^2)/1792 - (130017*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-511*S[-1, Infinity]^3)/24 + 
     (70055*S[-1, Infinity]*S[2, Infinity])/448 + (654593*S[3, Infinity])/
      7168)*S[5, Infinity] + (92279*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (288*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-2271*S[-1, Infinity]^4)/2240 - 
     (4359*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-647*S[-1, Infinity]^5)/840 + 
     (4987*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (313007*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (2903*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((283*S[-1, Infinity]^6)/1440 - (9915*S[-5, -1, Infinity])/
      56 - (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity] - 
      144*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (3*(-7110720*S[-7, -1, Infinity] - 1150419*S[5, 3, Infinity] - 
      776960*S[-5, -1, -1, -1, Infinity] - 692480*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -2, -1, 1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/160 - (4541*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (6257743*S[2, Infinity]^4)/392000 + 
   ((-493*S[-1, Infinity]^2)/56 + (71947*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((6545*S[-1, Infinity]^3)/192 - 
     (73485*S[-1, Infinity]*S[2, Infinity])/448 - (159319*S[3, Infinity])/
      1792)*S[5, Infinity] - (282637*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/560 + 
     (82*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((3721*S[-1, Infinity]^5)/3360 - (563*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (17141*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (3231*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 - 
   (3*S[-1, Infinity]^2*(-461*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/180 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (5023*S[-5, -1, Infinity] + 
       126*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-115*S[-5, 1, 1, Infinity] + 
      137*S[5, -1, -1, Infinity] + 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (-5765440*S[-7, -1, Infinity] - 907621*S[5, 3, Infinity] - 
     657920*S[-5, -1, -1, -1, Infinity] - 524800*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 2329600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 1, -2, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/70 - (2659*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (3453133*S[2, Infinity]^4)/196000 + 
   ((-2309*S[-1, Infinity]^2)/256 + (145869*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((6545*S[-1, Infinity]^3)/192 - 
     (10203*S[-1, Infinity]*S[2, Infinity])/64 - (726377*S[3, Infinity])/
      7168)*S[5, Infinity] - (282637*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((163*S[-1, Infinity]^4)/1680 + 
     (321*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((7117*S[-1, Infinity]^5)/6720 - (6823*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (49357*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3191*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((73*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-3581*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(389*S[-5, -1, Infinity] + 
      36*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-115*S[-5, 1, 1, Infinity] + 
      137*S[5, -1, -1, Infinity] + 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 - (3*(7828160*S[-7, -1, Infinity] + 1271391*S[5, 3, Infinity] + 
      858880*S[-5, -1, -1, -1, Infinity] + 762880*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 3046400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -2, -1, -1, 1, Infinity] -> 
  (107*S[-1, Infinity]^8)/40320 - (7857*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (27396721*S[2, Infinity]^4)/784000 + 
   ((-2343*S[-1, Infinity]^2)/224 + (121965*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1163*S[-1, Infinity]^3)/24 - 
     (30847*S[-1, Infinity]*S[2, Infinity])/112 - (630671*S[3, Infinity])/
      3584)*S[5, Infinity] - (831791*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((411*S[-1, Infinity]^4)/448 + 
     (6729*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((535*S[-1, Infinity]^5)/336 - 
     (10175*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (294071*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (5539*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-233*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(6201*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(-1489*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-603*S[-5, 1, 1, Infinity] + 
      790*S[5, -1, -1, Infinity] + 2772*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (9*(-2232000*S[-7, -1, Infinity] - 362933*S[5, 3, Infinity] - 
      239360*S[-5, -1, -1, -1, Infinity] - 217600*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2 + 931840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-1, -1, 1, -2, -1, -1, -1, Infinity] -> 
  (-433*S[-1, Infinity]^8)/40320 - (16311*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1775831*S[2, Infinity]^4)/56000 + 
   ((-2019*S[-1, Infinity]^2)/224 + (9129*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((1163*S[-1, Infinity]^3)/24 - 
     (34303*S[-1, Infinity]*S[2, Infinity])/112 - (21425*S[3, Infinity])/128)*
    S[5, Infinity] - (831791*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((307*S[-1, Infinity]^4)/320 + 
     (897*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((1721*S[-1, Infinity]^5)/960 - (1577*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (39433*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (835*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/288 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(-149*S[-5, -1, Infinity] - 2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) - 
   (3*S[-1, Infinity]^2*(-1585*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-603*S[-5, 1, 1, Infinity] + 
      790*S[5, -1, -1, Infinity] + 2772*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 - (3*(498240*S[-7, -1, Infinity] + 79519*S[5, 3, Infinity] + 
      55680*S[-5, -1, -1, -1, Infinity] + 46400*S[-5, -1, 1, 1, Infinity] - 
      206080*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/1280, 
 S[-1, -1, -1, 2, 1, 1, 1, Infinity] -> (131*S[-1, Infinity]^8)/40320 + 
   (347*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (17989*S[2, Infinity]^4)/16000 + ((321*S[-1, Infinity]^2)/224 - 
     (697*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-1267*S[-1, Infinity]^3)/192 + (9061*S[-1, Infinity]*S[2, Infinity])/
      448 + (6983*S[3, Infinity])/512)*S[5, Infinity] + 
   (124065*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/960 + 
     (27*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/240 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (9949*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/480 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      4 + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-51*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-319*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (168320*S[-7, -1, Infinity] + 32331*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] + 9600*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2 - 56320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -1, -1, 2, 1, 1, -1, Infinity] -> 
  (83*S[-1, Infinity]^8)/20160 + (32*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (1720349*S[2, Infinity]^4)/784000 + 
   ((1263*S[-1, Infinity]^2)/448 + (547*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1267*S[-1, Infinity]^3)/192 - 
     (4187*S[-1, Infinity]*S[2, Infinity])/448 - (32735*S[3, Infinity])/3584)*
    S[5, Infinity] + (124065*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((123*S[-1, Infinity]^4)/560 + 
     (19*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/3360 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1139*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (155*S[-5, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-171200*S[-7, -1, Infinity] - 32463*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 33920*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 232960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, 2, 1, -1, 1, Infinity] -> 
  (67*S[-1, Infinity]^8)/20160 + (1383*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (8289763*S[2, Infinity]^4)/392000 + 
   ((2241*S[-1, Infinity]^2)/256 - (168965*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-15833*S[-1, Infinity]^3)/384 + 
     (23489*S[-1, Infinity]*S[2, Infinity])/128 + (816265*S[3, Infinity])/
      7168)*S[5, Infinity] + (1344229*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-611*S[-1, Infinity]^4)/840 - 
     (1763*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-257*S[-1, Infinity]^5)/224 + 
     (2395*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (56273*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (906*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/90 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2806*S[-5, -1, Infinity] - 189*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(37*S[-5, -1, Infinity] + 
      9*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(507*S[-5, 1, 1, Infinity] - 655*S[5, -1, -1, Infinity] - 
      2436*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (25874880*S[-7, -1, Infinity] + 4361929*S[5, 3, Infinity] + 
     3065600*S[-5, -1, -1, -1, Infinity] + 
     2337280*S[-5, -1, 1, 1, Infinity] - 10680320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -1, 2, 1, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/13440 + (265*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 - (4663123*S[2, Infinity]^4)/196000 + 
   ((513*S[-1, Infinity]^2)/64 - (44833*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-15833*S[-1, Infinity]^3)/384 + 
     (25505*S[-1, Infinity]*S[2, Infinity])/128 + (55553*S[3, Infinity])/448)*
    S[5, Infinity] + (1344229*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-5357*S[-1, Infinity]^4)/6720 - 
     (799*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-997*S[-1, Infinity]^5)/840 + 
     (3757*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (15019*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1931*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5983*S[-5, -1, Infinity] - 378*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(155*S[-5, -1, Infinity] + 
      36*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(507*S[-5, 1, 1, Infinity] - 655*S[5, -1, -1, Infinity] - 
      2436*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (6922880*S[-7, -1, Infinity] + 1144587*S[5, 3, Infinity] + 
     813440*S[-5, -1, -1, -1, Infinity] + 622400*S[-5, -1, 1, 1, Infinity] - 
     2894080*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -1, 2, -1, 1, 1, Infinity] -> (-151*S[-1, Infinity]^8)/40320 - 
   (2305*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1151307*S[2, Infinity]^4)/49000 + 
   ((-24121*S[-1, Infinity]^2)/1792 + (183067*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((20003*S[-1, Infinity]^3)/384 - 
     (163715*S[-1, Infinity]*S[2, Infinity])/896 - (832007*S[3, Infinity])/
      7168)*S[5, Infinity] - (132951*S[-1, Infinity]*S[7, Infinity])/512 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-247*S[-1, Infinity]^4)/2240 + 
     (823*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((7747*S[-1, Infinity]^5)/6720 - (163*S[-1, Infinity]^3*S[2, Infinity])/
      14 - (82365*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (978*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(-2437*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (5*S[-1, Infinity]^2*(-677*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-95*S[-5, 1, 1, Infinity] + 126*S[5, -1, -1, Infinity] + 
      436*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-28640960*S[-7, -1, Infinity] - 4633523*S[5, 3, Infinity] - 
     3257600*S[-5, -1, -1, -1, Infinity] - 
     2593280*S[-5, -1, 1, 1, Infinity] + 12078080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -1, 2, -1, 1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/10080 - (3153*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (426861*S[2, Infinity]^4)/19600 + 
   ((-731*S[-1, Infinity]^2)/56 + (11749*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((20003*S[-1, Infinity]^3)/384 - 
     (171491*S[-1, Infinity]*S[2, Infinity])/896 - (429409*S[3, Infinity])/
      3584)*S[5, Infinity] - (132951*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/70 + (502*S[-1, 1, 1, 1, Infinity])/
      35) + S[3, Infinity]*((7829*S[-1, Infinity]^5)/6720 - 
     (8123*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (107433*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (997*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(1733*S[-5, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1522*S[-5, -1, Infinity] + 
       105*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-95*S[-5, 1, 1, Infinity] + 126*S[5, -1, -1, Infinity] + 
      436*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-2894144*S[-7, -1, Infinity] - 476109*S[5, 3, Infinity] - 
     336128*S[-5, -1, -1, -1, Infinity] - 257024*S[-5, -1, 1, 1, Infinity] + 
     1189888*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-1, -1, -1, 2, -1, -1, 1, Infinity] -> (19*S[-1, Infinity]^8)/13440 - 
   (11461*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (4124329*S[2, Infinity]^4)/98000 + 
   ((-2757*S[-1, Infinity]^2)/112 + (88787*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((4775*S[-1, Infinity]^3)/48 - 
     (40871*S[-1, Infinity]*S[2, Infinity])/112 - (424657*S[3, Infinity])/
      1792)*S[5, Infinity] - (210473*S[-1, Infinity]*S[7, Infinity])/448 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1177*S[-1, Infinity]^4)/6720 + 
     (8077*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((7517*S[-1, Infinity]^5)/3360 - 
     (937*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (408787*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3811*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-1105*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (23665*S[-5, -1, Infinity] + 1176*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (8*S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-13769920*S[-7, -1, Infinity] - 2274417*S[5, 3, Infinity] - 
     1609600*S[-5, -1, -1, -1, Infinity] - 
     1228480*S[-5, -1, 1, 1, Infinity] + 5600000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, -1, 2, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/240 - (5963*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1075063*S[2, Infinity]^4)/24500 + 
   ((-21219*S[-1, Infinity]^2)/896 + (185545*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((4775*S[-1, Infinity]^3)/48 - 
     (43103*S[-1, Infinity]*S[2, Infinity])/112 - (28177*S[3, Infinity])/112)*
    S[5, Infinity] - (210473*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/42 + 
     (992*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((197*S[-1, Infinity]^5)/84 - (7775*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (105997*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (1970*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-284*S[-5, -1, Infinity] - 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (3020*S[-5, -1, Infinity] + 
       189*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (8*S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-1768640*S[-7, -1, Infinity] - 293457*S[5, 3, Infinity] - 
     208640*S[-5, -1, -1, -1, Infinity] - 158720*S[-5, -1, 1, 1, Infinity] + 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -1, -1, 1, 2, 1, 1, Infinity] -> (-199*S[-1, Infinity]^8)/40320 - 
   (939*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (901819*S[2, Infinity]^4)/392000 + 
   ((-6043*S[-1, Infinity]^2)/1792 + (1297*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/64 - 
     (2073*S[-1, Infinity]*S[2, Infinity])/448 - (475*S[3, Infinity])/1792)*
    S[5, Infinity] + (28299*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-25*S[-1, Infinity]^4)/448 - 
     (29*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((99*S[-1, Infinity]^5)/448 - 
     (1009*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (10331*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (27*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (491*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(59*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (407*S[-5, -1, Infinity] + 476*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-389120*S[-7, -1, Infinity] - 40581*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 68480*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, 1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/640 - (173*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (42227*S[2, Infinity]^4)/31360 + ((-2763*S[-1, Infinity]^2)/896 - 
     (4323*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((29*S[-1, Infinity]^3)/64 + (7191*S[-1, Infinity]*S[2, Infinity])/448 + 
     (25191*S[3, Infinity])/7168)*S[5, Infinity] + 
   (28299*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-2111*S[-1, Infinity]^4)/2240 + 
     (237*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/448 - 
     (165*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (32427*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (585*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/96 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(293*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(25*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(123456*S[-7, -1, Infinity] + 18643*S[5, 3, Infinity] + 
      16640*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
      35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/7168, 
 S[-1, -1, -1, 1, 2, -1, 1, Infinity] -> (-373*S[-1, Infinity]^8)/40320 - 
   (139*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (19420777*S[2, Infinity]^4)/
    784000 + ((-24831*S[-1, Infinity]^2)/1792 + (116353*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4491*S[-1, Infinity]^3)/128 - 
     (93963*S[-1, Infinity]*S[2, Infinity])/896 - (746153*S[3, Infinity])/
      7168)*S[5, Infinity] - (1094817*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((863*S[-1, Infinity]^4)/6720 + 
     (801*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((569*S[-1, Infinity]^5)/560 - (5407*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (283421*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3449*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(572*S[-5, -1, Infinity] + 
      189*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9355*S[-5, -1, Infinity] + 756*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]*(198*S[-5, 1, 1, Infinity] - 
      145*S[5, -1, -1, Infinity] - 840*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-19750720*S[-7, -1, Infinity] - 2984413*S[5, 3, Infinity] - 
     1793280*S[-5, -1, -1, -1, Infinity] - 
     2113280*S[-5, -1, 1, 1, Infinity] - 161280*S[-1, 1, 1, 1, Infinity]^2 + 
     9318400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, 2, -1, -1, Infinity] -> (-167*S[-1, Infinity]^8)/13440 - 
   (497*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (1343179*S[2, Infinity]^4)/
    56000 + ((-7743*S[-1, Infinity]^2)/448 + (4115*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((4491*S[-1, Infinity]^3)/128 - 
     (100587*S[-1, Infinity]*S[2, Infinity])/896 - (22519*S[3, Infinity])/
      256)*S[5, Infinity] - (1094817*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((829*S[-1, Infinity]^4)/960 + 
     (353*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((331*S[-1, Infinity]^5)/240 - (373*S[-1, Infinity]^3*S[2, Infinity])/
      48 - (80457*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (61*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (499*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-101*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(-79*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(2357*S[-5, -1, Infinity] + 
      756*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(198*S[-5, 1, 1, Infinity] - 
      145*S[5, -1, -1, Infinity] - 840*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-754880*S[-7, -1, Infinity] - 111413*S[5, 3, Infinity] - 
     67200*S[-5, -1, -1, -1, Infinity] - 80320*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 + 362240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, -1, -1, 1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/2688 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (872233*S[2, Infinity]^4)/784000 + 
   ((331*S[-1, Infinity]^2)/112 + (1245*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-215*S[-1, Infinity]^3)/96 - 
     (1231*S[-1, Infinity]*S[2, Infinity])/224 - (2353*S[3, Infinity])/3584)*
    S[5, Infinity] - (34521*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/1344 + 
     (17*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/560 + 
     (33*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (47*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (25*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-25*S[-5, -1, Infinity] - 
       252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-374400*S[-7, -1, Infinity] - 101681*S[5, 3, Infinity] - 
     76800*S[-5, -1, -1, -1, Infinity] + 18560*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, 1, 1, 2, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/2688 + (275*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (7607*S[2, Infinity]^4)/4000 + ((1243*S[-1, Infinity]^2)/448 + 
     (29*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-215*S[-1, Infinity]^3)/96 + (977*S[-1, Infinity]*S[2, Infinity])/224 + 
     (2789*S[3, Infinity])/256)*S[5, Infinity] - 
   (34521*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/192 - 
     (11*S[-1, 1, 1, 1, Infinity])/40) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*(S[-1, Infinity]^5/20 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (2069*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (55*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-31*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-54560*S[-7, -1, Infinity] - 4401*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 55040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, -1, -1, 1, 1, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/4032 - (36*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (86529*S[2, Infinity]^4)/78400 + ((-1417*S[-1, Infinity]^2)/896 + 
     (1671*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((433*S[-1, Infinity]^3)/192 - (1501*S[-1, Infinity]*S[2, Infinity])/448 - 
     (8229*S[3, Infinity])/3584)*S[5, Infinity] - 
   (2151*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/1680 + 
     (61*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((79*S[-1, Infinity]^5)/1120 - (79*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (6983*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (265*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(43*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (321*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 
      12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-103744*S[-7, -1, Infinity] - 12973*S[5, 3, Infinity] - 
     5888*S[-5, -1, -1, -1, Infinity] - 15616*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-1, -1, -1, 1, 1, 1, -2, Infinity] -> (13*S[-1, Infinity]^8)/40320 - 
   (1433*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (43819*S[2, Infinity]^4)/392000 + ((-2483*S[-1, Infinity]^2)/1792 + 
     (8413*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((433*S[-1, Infinity]^3)/192 - (6061*S[-1, Infinity]*S[2, Infinity])/448 - 
     (60741*S[3, Infinity])/7168)*S[5, Infinity] - 
   (2151*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((-719*S[-1, Infinity]^4)/6720 + 
     (101*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/448 - (197*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (3905*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (311*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (591*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(211*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 
      12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-1288640*S[-7, -1, Infinity] - 169657*S[5, 3, Infinity] - 
     108800*S[-5, -1, -1, -1, Infinity] - 133120*S[-5, -1, 1, 1, Infinity] + 
     250880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, 1, -1, 2, Infinity] -> (13*S[-1, Infinity]^8)/40320 - 
   (1193*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (296837*S[2, Infinity]^4)/94080 + ((1273*S[-1, Infinity]^2)/1792 + 
     (5741*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((227*S[-1, Infinity]^3)/64 - (1219*S[-1, Infinity]*S[2, Infinity])/112 + 
     (13953*S[3, Infinity])/896)*S[5, Infinity] - 
   (273127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((593*S[-1, Infinity]^4)/6720 - 
     (17*S[-1, 1, 1, 1, Infinity])/70) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-157*S[-1, Infinity]^5)/6720 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (9453*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (89*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (3*(125*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(61*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-74784*S[-7, -1, Infinity] - 10477*S[5, 3, Infinity] - 
     14720*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] + 
     2688*S[-1, 1, 1, 1, Infinity]^2 + 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, -1, -1, 1, 1, -1, -2, Infinity] -> 
  (-19*S[-1, Infinity]^8)/8064 - (849*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1025669*S[2, Infinity]^4)/1176000 + 
   ((461*S[-1, Infinity]^2)/896 + (493*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((227*S[-1, Infinity]^3)/64 - (3571*S[-1, Infinity]*S[2, Infinity])/448 - 
     (70179*S[3, Infinity])/7168)*S[5, Infinity] - 
   (273127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((279*S[-1, Infinity]^4)/2240 - 
     (33*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((209*S[-1, Infinity]^5)/6720 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2493*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-9*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(83*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1244480*S[-7, -1, Infinity] - 304559*S[5, 3, Infinity] - 
     244480*S[-5, -1, -1, -1, Infinity] - 42240*S[-5, -1, 1, 1, Infinity] + 
     465920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, 1, -2, 1, Infinity] -> (-13*S[-1, Infinity]^8)/5760 + 
   (107*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (3815331*S[2, Infinity]^4)/784000 + 
   ((1217*S[-1, Infinity]^2)/448 - (3747*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-979*S[-1, Infinity]^3)/128 + 
     (2089*S[-1, Infinity]*S[2, Infinity])/896 + (57139*S[3, Infinity])/7168)*
    S[5, Infinity] + (154353*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/6720 - 
     (72*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-237*S[-1, Infinity]^5)/2240 + 
     (195*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (21711*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (183*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/1440 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-1201*S[-5, -1, Infinity] - 
       308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-113*S[-5, -1, Infinity] - 
      154*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(75*S[-5, 1, 1, Infinity] - 142*S[5, -1, -1, Infinity] - 
      644*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2496960*S[-7, -1, Infinity] + 402159*S[5, 3, Infinity] + 
     213760*S[-5, -1, -1, -1, Infinity] + 288000*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -1, 1, 1, -2, -1, Infinity] -> 
  (-113*S[-1, Infinity]^8)/40320 - (317*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (2977901*S[2, Infinity]^4)/392000 + 
   ((47*S[-1, Infinity]^2)/16 - (845*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-979*S[-1, Infinity]^3)/128 - (1073*S[-1, Infinity]*S[2, Infinity])/
      128 + (102677*S[3, Infinity])/7168)*S[5, Infinity] + 
   (154353*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1051*S[-1, Infinity]^4)/6720 - 
     (839*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1027*S[-1, Infinity]^5)/6720 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (737*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (131*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-741*S[-5, -1, Infinity] - 154*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      22*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(75*S[-5, 1, 1, Infinity] - 142*S[5, -1, -1, Infinity] - 
      644*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2804800*S[-7, -1, Infinity] + 370873*S[5, 3, Infinity] + 
     157440*S[-5, -1, -1, -1, Infinity] + 371200*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 2042880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -1, 1, -1, 2, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/5760 + (1363*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (794897*S[2, Infinity]^4)/196000 + 
   ((3629*S[-1, Infinity]^2)/896 - (8755*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3619*S[-1, Infinity]^3)/384 + 
     (4409*S[-1, Infinity]*S[2, Infinity])/896 + (68695*S[3, Infinity])/3584)*
    S[5, Infinity] + (43101*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((97*S[-1, Infinity]^4)/448 - 
     (269*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-761*S[-1, Infinity]^5)/6720 + 
     (1195*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2069*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (601*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1489*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-149*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (1450560*S[-7, -1, Infinity] + 213181*S[5, 3, Infinity] + 
     110080*S[-5, -1, -1, -1, Infinity] + 190080*S[-5, -1, 1, 1, Infinity] - 
     698880*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, 1, -1, 2, -1, Infinity] -> (-37*S[-1, Infinity]^8)/10080 - 
   (1151*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (196041*S[2, Infinity]^4)/24500 + 
   ((251*S[-1, Infinity]^2)/56 - (895*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-3619*S[-1, Infinity]^3)/384 - (2899*S[-1, Infinity]*S[2, Infinity])/
      224 + (85997*S[3, Infinity])/3584)*S[5, Infinity] + 
   (43101*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/336 - 
     (67*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1147*S[-1, Infinity]^5)/6720 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (15059*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (397*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-323*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (1566400*S[-7, -1, Infinity] + 198609*S[5, 3, Infinity] + 
     55040*S[-5, -1, -1, -1, Infinity] + 258560*S[-5, -1, 1, 1, Infinity] - 
     931840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, 1, -1, 1, 2, Infinity] -> (23*S[-1, Infinity]^8)/40320 - 
   (191*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (1607741*S[2, Infinity]^4)/1176000 + 
   ((3503*S[-1, Infinity]^2)/1792 + (7347*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/192 - 
     (5609*S[-1, Infinity]*S[2, Infinity])/448 - (9435*S[3, Infinity])/896)*
    S[5, Infinity] - (16881*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/1344 - 
     (11*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-109*S[-1, Infinity]^5)/2240 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (7803*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (45*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (93*S[-5, -1, Infinity] - 308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(38*S[-5, -1, Infinity] - 
      35*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-258560*S[-7, -1, Infinity] - 123407*S[5, 3, Infinity] - 
     96000*S[-5, -1, -1, -1, Infinity] + 37760*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, 1, -1, 1, -2, Infinity] -> S[-1, Infinity]^8/2016 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (553463*S[2, Infinity]^4)/
    294000 + ((1387*S[-1, Infinity]^2)/896 + (807*S[2, Infinity])/448)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/192 - 
     (3505*S[-1, Infinity]*S[2, Infinity])/896 + (17019*S[3, Infinity])/7168)*
    S[5, Infinity] - (16881*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/840 + 
     (67*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/2240 + 
     (89*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1629*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (15*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(71*S[-5, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-189760*S[-7, -1, Infinity] - 20533*S[5, 3, Infinity] - 
     88320*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, -1, -1, 2, Infinity] -> (11*S[-1, Infinity]^8)/8064 - 
   (877*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (69849*S[2, Infinity]^4)/98000 + ((-611*S[-1, Infinity]^2)/896 - 
     (393*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-109*S[-1, Infinity]^3)/96 + (759*S[-1, Infinity]*S[2, Infinity])/896 - 
     (8033*S[3, Infinity])/896)*S[5, Infinity] + 
   (77249*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-857*S[-1, Infinity]^4)/6720 - 
     (11*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/840 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (519*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (41*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]^2*(39*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1520*S[-7, -1, Infinity] - 367*S[5, 3, Infinity] + 
     520*S[-5, -1, -1, -1, Infinity] - 940*S[-5, -1, 1, 1, Infinity] - 
     2800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/560, 
 S[-1, -1, -1, 1, -1, -1, -2, Infinity] -> (-257*S[-1, Infinity]^8)/40320 - 
   (359*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (1099803*S[2, Infinity]^4)/784000 + 
   ((-493*S[-1, Infinity]^2)/1792 + (2955*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-109*S[-1, Infinity]^3)/96 - 
     (7383*S[-1, Infinity]*S[2, Infinity])/448 - (66925*S[3, Infinity])/7168)*
    S[5, Infinity] + (77249*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-181*S[-1, Infinity]^4)/1344 - 
     (53*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((173*S[-1, Infinity]^5)/1344 - 
     (251*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (19779*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (291*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((97*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (109*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(33*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-230080*S[-7, -1, Infinity] - 50563*S[5, 3, Infinity] - 
     70400*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -1, 1, -1, -2, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/8064 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (871001*S[2, Infinity]^4)/392000 + 
   ((-97*S[-1, Infinity]^2)/112 - (2857*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-77*S[-1, Infinity]^3)/24 - 
     (1609*S[-1, Infinity]*S[2, Infinity])/448 + (22739*S[3, Infinity])/7168)*
    S[5, Infinity] + (228657*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-1403*S[-1, Infinity]^4)/6720 + 
     (209*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((143*S[-1, Infinity]^5)/3360 - (39*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (8773*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (601*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(233*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(155*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 57*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-585920*S[-7, -1, Infinity] + 64257*S[5, 3, Infinity] + 
     131840*S[-5, -1, -1, -1, Infinity] - 194560*S[-5, -1, 1, 1, Infinity] + 
     896000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, -1, -2, -1, Infinity] -> S[-1, Infinity]^8/1008 + 
   (291*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1815607*S[2, Infinity]^4)/196000 + 
   ((-161*S[-1, Infinity]^2)/128 - (991*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-77*S[-1, Infinity]^3)/24 + 
     (1717*S[-1, Infinity]*S[2, Infinity])/128 - (178033*S[3, Infinity])/
      7168)*S[5, Infinity] + (228657*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((319*S[-1, Infinity]^4)/1680 + 
     (601*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((509*S[-1, Infinity]^5)/3360 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1213*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1333*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(277*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 57*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1288640*S[-7, -1, Infinity] - 77187*S[5, 3, Infinity] + 
     231680*S[-5, -1, -1, -1, Infinity] - 428800*S[-5, -1, 1, 1, Infinity] + 
     1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, -2, 1, 1, Infinity] -> (-197*S[-1, Infinity]^8)/20160 - 
   (137*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (103311*S[2, Infinity]^4)/28000 + 
   ((207*S[-1, Infinity]^2)/224 - (35*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-283*S[-1, Infinity]^3)/128 - (6205*S[-1, Infinity]*S[2, Infinity])/
      896 - (99*S[3, Infinity])/256)*S[5, Infinity] + 
   (16145*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/240 - 
     (107*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/480 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (156*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/360 - (51*S[-5, -1, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2780*S[-7, -1, Infinity] + 143*S[5, 3, Infinity] - 
     240*S[-5, -1, -1, -1, Infinity] + 840*S[-5, -1, 1, 1, Infinity] - 
     720*S[-1, 1, 1, 1, Infinity]^2 - 3040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/160, S[-1, -1, -1, 1, -2, 1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/2880 + (477*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (1683391*S[2, Infinity]^4)/784000 + 
   ((601*S[-1, Infinity]^2)/256 + (3663*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-283*S[-1, Infinity]^3)/128 - 
     (1339*S[-1, Infinity]*S[2, Infinity])/128 + (59301*S[3, Infinity])/7168)*
    S[5, Infinity] + (16145*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (3*(94400*S[-7, -1, Infinity] + 22217*S[5, 3, Infinity] + 
      32000*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity]))/
    35840 + S[2, Infinity]^2*((491*S[-1, Infinity]^4)/672 - 
     (27*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/1120 + 
     (569*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1167*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (129*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/8 - (27*S[-5, -1, Infinity])/7 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      196*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, -1, -1, 1, -2, -1, 1, Infinity] -> (97*S[-1, Infinity]^8)/13440 + 
   (4201*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1049341*S[2, Infinity]^4)/49000 + 
   ((36369*S[-1, Infinity]^2)/1792 - (115415*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2823*S[-1, Infinity]^3)/64 + 
     (5595*S[-1, Infinity]*S[2, Infinity])/56 + (667921*S[3, Infinity])/7168)*
    S[5, Infinity] + (1300629*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((253*S[-1, Infinity]^4)/1344 - 
     (2567*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-8389*S[-1, Infinity]^5)/6720 + 
     (3127*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (63345*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (3337*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-103*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-3221*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(-2525*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(227*S[-5, 1, 1, Infinity] - 
      193*S[5, -1, -1, Infinity] - 868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (20601920*S[-7, -1, Infinity] + 3151349*S[5, 3, Infinity] + 
     1954560*S[-5, -1, -1, -1, Infinity] + 
     2122240*S[-5, -1, 1, 1, Infinity] + 215040*S[-1, 1, 1, 1, Infinity]^2 - 
     9497600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 1, -2, -1, -1, Infinity] -> S[-1, Infinity]^8/13440 + 
   (1727*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (21117871*S[2, Infinity]^4)/784000 + 
   ((13953*S[-1, Infinity]^2)/896 - (69751*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2823*S[-1, Infinity]^3)/64 + 
     (6729*S[-1, Infinity]*S[2, Infinity])/56 + (54223*S[3, Infinity])/448)*
    S[5, Infinity] + (1300629*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-4531*S[-1, Infinity]^4)/6720 - 
     (523*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1409*S[-1, Infinity]^5)/1344 + 
     (4637*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (83733*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3841*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((203*S[-1, Infinity]^6)/1440 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(-1817*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-1357*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(227*S[-5, 1, 1, Infinity] - 
      193*S[5, -1, -1, Infinity] - 868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (2893600*S[-7, -1, Infinity] + 451603*S[5, 3, Infinity] + 
     274560*S[-5, -1, -1, -1, Infinity] + 305600*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2 - 1308160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -1, -1, -1, 2, 1, 1, Infinity] -> 
  (-289*S[-1, Infinity]^8)/40320 - (S[-1, Infinity]^2*S[2, Infinity]^3)/7 - 
   (2099809*S[2, Infinity]^4)/784000 + 
   ((201*S[-1, Infinity]^2)/448 - (271*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-283*S[-1, Infinity]^3)/128 - 
     (6133*S[-1, Infinity]*S[2, Infinity])/896 - (467*S[3, Infinity])/112)*
    S[5, Infinity] + (93141*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-451*S[-1, Infinity]^4)/2240 - 
     (411*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((431*S[-1, Infinity]^5)/6720 - 
     (139*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (4301*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     S[-1, 1, 1, 1, 1, Infinity]/14) + S[2, Infinity]*
    ((131*S[-1, Infinity]^6)/1440 - (9*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(-95*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-25*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (163680*S[-7, -1, Infinity] + 14689*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 35520*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2 - 197120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, -1, -1, 2, 1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/1440 + (117*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1773493*S[2, Infinity]^4)/784000 + 
   ((277*S[-1, Infinity]^2)/448 + (405*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-283*S[-1, Infinity]^3)/128 - 
     (7285*S[-1, Infinity]*S[2, Infinity])/896 + (1293*S[3, Infinity])/1792)*
    S[5, Infinity] + (93141*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-307*S[-1, Infinity]^4)/6720 - 
     (1191*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/224 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (2559*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/96 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
      280*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(3040*S[-7, -1, Infinity] + 631*S[5, 3, Infinity] + 
      480*S[-5, -1, -1, -1, Infinity] + 80*S[-5, -1, 1, 1, Infinity] + 
      3360*S[-1, 1, 1, 1, Infinity]^2 + 2240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/2240, S[-1, -1, -1, -1, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/420 + (4373*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2170689*S[2, Infinity]^4)/98000 + 
   ((8069*S[-1, Infinity]^2)/448 - (36865*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-5335*S[-1, Infinity]^3)/96 + 
     (28215*S[-1, Infinity]*S[2, Infinity])/224 + (287457*S[3, Infinity])/
      3584)*S[5, Infinity] + (31861*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((191*S[-1, Infinity]^4)/560 - 
     (881*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2249*S[-1, Infinity]^5)/2240 + 
     (6215*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (80803*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (790*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-3271*S[-5, -1, Infinity] - 
        308*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(-937*S[-5, -1, Infinity] - 
      476*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (4*S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (11879360*S[-7, -1, Infinity] + 1893869*S[5, 3, Infinity] + 
     1309440*S[-5, -1, -1, -1, Infinity] + 
     1047040*S[-5, -1, 1, 1, Infinity] - 5519360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, -1, 2, -1, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/13440 + (1261*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (9597831*S[2, Infinity]^4)/392000 + 
   ((7355*S[-1, Infinity]^2)/448 - (42241*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-5335*S[-1, Infinity]^3)/96 + 
     (34263*S[-1, Infinity]*S[2, Infinity])/224 + (168267*S[3, Infinity])/
      1792)*S[5, Infinity] + (31861*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((309*S[-1, Infinity]^4)/2240 - 
     (1951*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-613*S[-1, Infinity]^5)/560 + 
     (437*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (184811*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1769*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/480 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-893*S[-5, -1, Infinity] - 
        119*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(1021*S[-5, -1, Infinity] + 
      476*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (4*S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (6594880*S[-7, -1, Infinity] + 1058287*S[5, 3, Infinity] + 
     735360*S[-5, -1, -1, -1, Infinity] + 584000*S[-5, -1, 1, 1, Infinity] - 
     3001600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -1, -1, 1, 2, 1, Infinity] -> (169*S[-1, Infinity]^8)/40320 + 
   (10*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (3430029*S[2, Infinity]^4)/
    784000 + ((397*S[-1, Infinity]^2)/128 - (7653*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2627*S[-1, Infinity]^3)/384 + 
     (1585*S[-1, Infinity]*S[2, Infinity])/128 + (1931*S[3, Infinity])/112)*
    S[5, Infinity] + (82513*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((887*S[-1, Infinity]^4)/2240 + 
     (19*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/280 + 
     (403*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (655*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (631*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/480 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-919*S[-5, -1, Infinity] - 
       252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (9*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(107*S[-5, 1, 1, Infinity] - 68*S[5, -1, -1, Infinity] - 
      616*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (146840*S[-7, -1, Infinity] + 31161*S[5, 3, Infinity] + 
     16480*S[-5, -1, -1, -1, Infinity] + 12080*S[-5, -1, 1, 1, Infinity] + 
     10080*S[-1, 1, 1, 1, Infinity]^2 - 98560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[-1, -1, -1, -1, 1, 2, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/5760 + (275*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1607497*S[2, Infinity]^4)/196000 + 
   ((443*S[-1, Infinity]^2)/112 - (271*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-2627*S[-1, Infinity]^3)/384 - (2371*S[-1, Infinity]*S[2, Infinity])/
      448 + (9619*S[3, Infinity])/448)*S[5, Infinity] + 
   (82513*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-2431*S[-1, Infinity]^4)/6720 + 
     (681*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-155*S[-1, Infinity]^5)/672 + 
     (99*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (6999*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (349*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-142*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-52*S[-5, -1, Infinity] - 
      63*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(107*S[-5, 1, 1, Infinity] - 68*S[5, -1, -1, Infinity] - 
      616*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(200160*S[-7, -1, Infinity] + 22261*S[5, 3, Infinity] + 
      3840*S[-5, -1, -1, -1, Infinity] + 36480*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 170240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[-1, -1, -1, -1, 1, 1, 2, Infinity] -> 
  (-29*S[-1, Infinity]^8)/13440 - (13*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (835477*S[2, Infinity]^4)/784000 + 
   ((1045*S[-1, Infinity]^2)/448 + (715*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-163*S[-1, Infinity]^3)/48 - 
     (3253*S[-1, Infinity]*S[2, Infinity])/224 + (2979*S[3, Infinity])/3584)*
    S[5, Infinity] + (24471*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-143*S[-1, Infinity]^4)/1344 - 
     (51*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/1120 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1717*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (73*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-873*S[-5, -1, Infinity] + 308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (211840*S[-7, -1, Infinity] - 21641*S[5, 3, Infinity] - 
     33280*S[-5, -1, -1, -1, Infinity] + 109440*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, -1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/2688 + (47*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (223067*S[2, Infinity]^4)/98000 + 
   ((103*S[-1, Infinity]^2)/64 - (125*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-163*S[-1, Infinity]^3)/48 + (221*S[-1, Infinity]*S[2, Infinity])/32 + 
     (23335*S[3, Infinity])/1792)*S[5, Infinity] + 
   (24471*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((299*S[-1, Infinity]^4)/6720 - 
     (327*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-39*S[-1, Infinity]^5)/1120 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (737*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (97*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-213*S[-5, -1, Infinity] - 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      3*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (206240*S[-7, -1, Infinity] + 46791*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -1, -1, 1, -1, 2, Infinity] -> -S[-1, Infinity]^8/448 + 
   (349*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (57243*S[2, Infinity]^4)/392000 + 
   ((75*S[-1, Infinity]^2)/56 - (4065*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-207*S[-1, Infinity]^3)/64 + (9253*S[-1, Infinity]*S[2, Infinity])/896 + 
     (3903*S[3, Infinity])/448)*S[5, Infinity] + 
   (763*S[-1, Infinity]*S[7, Infinity])/256 - 
   (123*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((187*S[-1, Infinity]^4)/1680 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/448 + 
     (79*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (6001*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (153*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (167520*S[-7, -1, Infinity] + 23119*S[5, 3, Infinity] + 
     32640*S[-5, -1, -1, -1, Infinity] + 9920*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -1, -1, 1, -1, -2, Infinity] -> (-29*S[-1, Infinity]^8)/13440 + 
   (83*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (37239*S[2, Infinity]^4)/14000 + ((33*S[-1, Infinity]^2)/16 + 
     (183*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-207*S[-1, Infinity]^3)/64 - 22*S[-1, Infinity]*S[2, Infinity] + 
     (129*S[3, Infinity])/16)*S[5, Infinity] + 
   (763*S[-1, Infinity]*S[7, Infinity])/256 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/960 - 
     (13*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/160 + 
     (S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (313*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (51*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-145*S[-5, -1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (19200*S[-7, -1, Infinity] + 5819*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] - 
     12800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-1, -1, -1, -1, 1, -2, 1, Infinity] -> (-31*S[-1, Infinity]^8)/8064 - 
   (627*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (3504131*S[2, Infinity]^4)/784000 + 
   ((-4447*S[-1, Infinity]^2)/896 + (50*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((1213*S[-1, Infinity]^3)/192 - (7751*S[-1, Infinity]*S[2, Infinity])/
      448 - (3065*S[3, Infinity])/896)*S[5, Infinity] - 
   (3119*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((-953*S[-1, Infinity]^4)/6720 + 
     (123*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/168 - 
     (257*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (23889*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (1255*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-521*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(439*S[-5, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-197*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(546880*S[-7, -1, Infinity] + 61739*S[5, 3, Infinity] + 
      32000*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-1, -1, -1, -1, 1, -2, -1, Infinity] -> 
  (-97*S[-1, Infinity]^8)/8064 - (2421*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1100179*S[2, Infinity]^4)/98000 + 
   ((-2399*S[-1, Infinity]^2)/448 + (4385*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1213*S[-1, Infinity]^3)/192 - 
     (8497*S[-1, Infinity]*S[2, Infinity])/896 - (56323*S[3, Infinity])/1792)*
    S[5, Infinity] - (3119*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((2839*S[-1, Infinity]^4)/6720 + 
     (129*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((593*S[-1, Infinity]^5)/1680 - 
     (275*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (5937*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (1987*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-407*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(361*S[-5, -1, Infinity] + 
      420*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-197*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(664000*S[-7, -1, Infinity] + 85313*S[5, 3, Infinity] + 
      15360*S[-5, -1, -1, -1, Infinity] + 105600*S[-5, -1, 1, 1, Infinity] + 
      35840*S[-1, 1, 1, 1, Infinity]^2 - 448000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-1, -1, -1, -1, -1, 2, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/8064 - (489*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1623079*S[2, Infinity]^4)/392000 + 
   ((-2551*S[-1, Infinity]^2)/896 + (9511*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((311*S[-1, Infinity]^3)/48 - 
     (1987*S[-1, Infinity]*S[2, Infinity])/112 - (3095*S[3, Infinity])/896)*
    S[5, Infinity] - (793*S[-1, Infinity]*S[7, Infinity])/16 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/448 + (59*S[-1, 1, 1, 1, Infinity])/
      140) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((109*S[-1, Infinity]^5)/672 - 
     (475*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (20381*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (199*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(177*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1223*S[-5, -1, Infinity] + 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-206240*S[-7, -1, Infinity] - 29697*S[5, 3, Infinity] - 
     19360*S[-5, -1, -1, -1, Infinity] - 18160*S[-5, -1, 1, 1, Infinity] + 
     136640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[-1, -1, -1, -1, -1, 2, -1, Infinity] -> (-5*S[-1, Infinity]^8)/2016 - 
   (33*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (1244273*S[2, Infinity]^4)/
    196000 + ((-2335*S[-1, Infinity]^2)/896 + (11377*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((311*S[-1, Infinity]^3)/48 - 
     (5063*S[-1, Infinity]*S[2, Infinity])/224 - (7619*S[3, Infinity])/3584)*
    S[5, Infinity] - (793*S[-1, Infinity]*S[7, Infinity])/16 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-27*S[-1, Infinity]^4)/1120 + 
     (41*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((659*S[-1, Infinity]^5)/3360 - (263*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (25217*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (128*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(201*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (799*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-2128960*S[-7, -1, Infinity] - 298659*S[5, 3, Infinity] - 
     185600*S[-5, -1, -1, -1, Infinity] - 181760*S[-5, -1, 1, 1, Infinity] + 
     1361920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, -1, 1, 2, Infinity] -> -S[-1, Infinity]^8/1152 + 
   (153*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (194093*S[2, Infinity]^4)/392000 + 
   ((635*S[-1, Infinity]^2)/448 + (1895*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((77*S[-1, Infinity]^3)/96 - 
     (1065*S[-1, Infinity]*S[2, Infinity])/896 + (7129*S[3, Infinity])/3584)*
    S[5, Infinity] - (1909*S[-1, Infinity]*S[7, Infinity])/112 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/6720 + 
     (559*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-213*S[-1, Infinity]^5)/2240 + 
     (239*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1549*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (69*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (5*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-162560*S[-7, -1, Infinity] - 38363*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, -1, 1, -2, Infinity] -> (283*S[-1, Infinity]^8)/40320 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (682999*S[2, Infinity]^4)/
    784000 + ((193*S[-1, Infinity]^2)/128 + (3293*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((77*S[-1, Infinity]^3)/96 - 
     (357*S[-1, Infinity]*S[2, Infinity])/64 - (4897*S[3, Infinity])/1792)*
    S[5, Infinity] - (1909*S[-1, Infinity]*S[7, Infinity])/112 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((359*S[-1, Infinity]^4)/6720 + 
     (47*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/560 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (291*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-9*S[-1, Infinity]^6)/160 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (5*(-5*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-235520*S[-7, -1, Infinity] - 53507*S[5, 3, Infinity] - 
     40960*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, -1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/13440 - (171*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (137239*S[2, Infinity]^4)/392000 + 
   ((193*S[-1, Infinity]^2)/896 + (677*S[2, Infinity])/896)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/6 - 
     (293*S[-1, Infinity]*S[2, Infinity])/112 - (421*S[3, Infinity])/896)*
    S[5, Infinity] - S[-1, Infinity]*S[7, Infinity] + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + (33*S[-5, -1, Infinity])/56) + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/2240 + 
     (3*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/1680 - (S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (1887*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (3*(-3040*S[-7, -1, Infinity] - 631*S[5, 3, Infinity] - 
      480*S[-5, -1, -1, -1, Infinity] - 80*S[-5, -1, 1, 1, Infinity] - 
      2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/2240, 
 S[-1, -1, -1, -1, -1, -1, -2, Infinity] -> 
  -(S[-1, Infinity]^6*S[2, Infinity])/1440 - 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/40 - 
   (57*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - (19*S[2, Infinity]^4)/50 + 
   (-S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/40)*S[3, Infinity] + 
   (S[-1, Infinity]^2/8 + (7*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/6 - (13*S[-1, Infinity]*S[2, Infinity])/32 + 
     (7*S[3, Infinity])/16)*S[5, Infinity] - S[-1, Infinity]*S[7, Infinity], 
 S[-1, -1, -1, -1, -1, -2, 1, Infinity] -> (11*S[-1, Infinity]^8)/4480 + 
   (509*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (316527*S[2, Infinity]^4)/78400 + ((1445*S[-1, Infinity]^2)/448 - 
     (4707*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-3247*S[-1, Infinity]^3)/384 + (13319*S[-1, Infinity]*S[2, Infinity])/
      896 + (15535*S[3, Infinity])/3584)*S[5, Infinity] + 
   (156281*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/6720 - 
     (57*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-661*S[-1, Infinity]^5)/3360 + 
     (141*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (10133*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (215*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-951*S[-5, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-193*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(115*S[-5, 1, 1, Infinity] - 130*S[5, -1, -1, Infinity] - 
      812*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (284608*S[-7, -1, Infinity] + 47615*S[5, 3, Infinity] + 
     34304*S[-5, -1, -1, -1, Infinity] + 20352*S[-5, -1, 1, 1, Infinity] - 
     182784*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-1, -1, -1, -1, -1, -2, -1, Infinity] -> S[-1, Infinity]^8/360 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (24149*S[2, Infinity]^4)/3500 + ((193*S[-1, Infinity]^2)/56 - 
     (155*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-3247*S[-1, Infinity]^3)/384 + (8843*S[-1, Infinity]*S[2, Infinity])/
      896 + (319*S[3, Infinity])/64)*S[5, Infinity] + 
   (156281*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (5*S[2, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/480 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (2113*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     14*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/90 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     2*(-11*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(-171*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(115*S[-5, 1, 1, Infinity] - 130*S[5, -1, -1, Infinity] - 
      812*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (7040*S[-7, -1, Infinity] + 993*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/80, 
 S[-1, -1, -1, -1, -2, 1, 1, Infinity] -> (11*S[-1, Infinity]^8)/40320 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (737123*S[2, Infinity]^4)/392000 + 
   ((-1717*S[-1, Infinity]^2)/1792 - (1573*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-95*S[-1, Infinity]^3)/64 - 
     (2073*S[-1, Infinity]*S[2, Infinity])/448 + (1037*S[3, Infinity])/224)*
    S[5, Infinity] + (97641*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-991*S[-1, Infinity]^4)/6720 + 
     (163*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((89*S[-1, Infinity]^5)/2240 - 
     (463*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (205*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (365*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (155*S[-5, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-153920*S[-7, -1, Infinity] + 15643*S[5, 3, Infinity] + 
     28160*S[-5, -1, -1, -1, Infinity] - 41600*S[-5, -1, 1, 1, Infinity] + 
     232960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, -2, 1, -1, Infinity] -> S[-1, Infinity]^8/960 - 
   (173*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (603679*S[2, Infinity]^4)/392000 + 
   ((-3825*S[-1, Infinity]^2)/1792 - (15009*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-95*S[-1, Infinity]^3)/64 + 
     (10215*S[-1, Infinity]*S[2, Infinity])/448 - (39*S[3, Infinity])/1792)*
    S[5, Infinity] + (97641*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-837*S[-1, Infinity]^4)/2240 - 
     (99*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-101*S[-1, Infinity]^5)/1120 + (31*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (20907*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (459*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - (795*S[-5, -1, Infinity])/56 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(399360*S[-7, -1, Infinity] + 66043*S[5, 3, Infinity] + 
      64000*S[-5, -1, -1, -1, Infinity] + 21120*S[-5, -1, 1, 1, Infinity] - 
      107520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-1, -1, -1, -1, -2, -1, 1, Infinity] -> (-73*S[-1, Infinity]^8)/40320 - 
   (9007*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (7908993*S[2, Infinity]^4)/392000 + 
   ((-6485*S[-1, Infinity]^2)/448 + (38019*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((18619*S[-1, Infinity]^3)/384 - 
     (128007*S[-1, Infinity]*S[2, Infinity])/896 - (298871*S[3, Infinity])/
      3584)*S[5, Infinity] - (121543*S[-1, Infinity]*S[7, Infinity])/448 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-1283*S[-1, Infinity]^4)/6720 + 
     (339*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((6521*S[-1, Infinity]^5)/6720 - (6577*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (167259*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1597*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-447*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (9181*S[-5, -1, Infinity] + 
       1344*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-673*S[-5, 1, 1, Infinity] + 
      860*S[5, -1, -1, Infinity] + 3332*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-11791040*S[-7, -1, Infinity] - 1839867*S[5, 3, Infinity] - 
     1320960*S[-5, -1, -1, -1, Infinity] - 
     1004160*S[-5, -1, 1, 1, Infinity] + 5322240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, -1, -2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/420 - (3807*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (531749*S[2, Infinity]^4)/24500 + 
   ((-233*S[-1, Infinity]^2)/16 + (4883*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((18619*S[-1, Infinity]^3)/384 - 
     (18945*S[-1, Infinity]*S[2, Infinity])/128 - (34179*S[3, Infinity])/448)*
    S[5, Infinity] - (121543*S[-1, Infinity]*S[7, Infinity])/448 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/14 + (911*S[-1, 1, 1, 1, Infinity])/
      70) + S[3, Infinity]*((57*S[-1, Infinity]^5)/56 - 
     (1619*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (611*S[-1, Infinity]*S[2, Infinity]^2)/8 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (820*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(-411*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(-65*S[-5, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-673*S[-5, 1, 1, Infinity] + 
      860*S[5, -1, -1, Infinity] + 3332*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-776960*S[-7, -1, Infinity] - 123131*S[5, 3, Infinity] - 
     84480*S[-5, -1, -1, -1, Infinity] - 67840*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -1, -1, -2, 1, 1, 1, Infinity] -> (31*S[-1, Infinity]^8)/8064 - 
   (1019*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (16829*S[2, Infinity]^4)/31360 + ((-157*S[-1, Infinity]^2)/448 + 
     (4883*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((197*S[-1, Infinity]^3)/32 - (4539*S[-1, Infinity]*S[2, Infinity])/224 - 
     (5479*S[3, Infinity])/448)*S[5, Infinity] - 
   (38191*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((143*S[-1, Infinity]^4)/6720 + 
     (137*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/2240 - 
     (323*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (5161*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (165*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(295*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (179*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] + 142*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-111264*S[-7, -1, Infinity] - 23229*S[5, 3, Infinity] - 
     19584*S[-5, -1, -1, -1, Infinity] - 2368*S[-5, -1, 1, 1, Infinity] + 
     2688*S[-1, 1, 1, 1, Infinity]^2 + 32256*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, -1, -1, -2, 1, 1, -1, Infinity] -> 
  (23*S[-1, Infinity]^8)/4032 - (31*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (923357*S[2, Infinity]^4)/784000 + 
   ((-43*S[-1, Infinity]^2)/64 + (4059*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((197*S[-1, Infinity]^3)/32 - 
     (429*S[-1, Infinity]*S[2, Infinity])/32 + (1167*S[3, Infinity])/1792)*
    S[5, Infinity] - (38191*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/560 + 
     (227*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-149*S[-1, Infinity]^5)/6720 - 
     (187*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (583*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (97*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(33*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (101*S[-5, -1, Infinity] + 49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] + 142*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-62800*S[-7, -1, Infinity] - 11331*S[5, 3, Infinity] - 
     9680*S[-5, -1, -1, -1, Infinity] - 2360*S[-5, -1, 1, 1, Infinity] + 
     1680*S[-1, 1, 1, 1, Infinity]^2 + 14560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, -1, -1, -2, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/2880 - (5751*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (333017*S[2, Infinity]^4)/19600 + ((-20515*S[-1, Infinity]^2)/1792 + 
     (163661*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((9025*S[-1, Infinity]^3)/192 - (78301*S[-1, Infinity]*S[2, Infinity])/
      448 - (82759*S[3, Infinity])/896)*S[5, Infinity] - 
   (831791*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/168 + (1723*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((6647*S[-1, Infinity]^5)/6720 - 
     (1709*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (18695*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (3397*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (11*(-247*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(3165*S[-5, -1, Infinity] + 
      868*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-603*S[-5, 1, 1, Infinity] + 
      790*S[5, -1, -1, Infinity] + 2772*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-1284832*S[-7, -1, Infinity] - 209655*S[5, 3, Infinity] - 
     152704*S[-5, -1, -1, -1, Infinity] - 110272*S[-5, -1, 1, 1, Infinity] + 
     541184*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[-1, -1, -1, -2, 1, -1, -1, Infinity] -> (-211*S[-1, Infinity]^8)/40320 - 
   (6103*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (8523839*S[2, Infinity]^4)/392000 + 
   ((-643*S[-1, Infinity]^2)/64 + (47163*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((9025*S[-1, Infinity]^3)/192 - 
     (13099*S[-1, Infinity]*S[2, Infinity])/64 - (884747*S[3, Infinity])/
      7168)*S[5, Infinity] - (831791*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((589*S[-1, Infinity]^4)/2240 + 
     (4001*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((7589*S[-1, Infinity]^5)/6720 - 
     (7673*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (60163*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3763*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(123*S[-5, -1, Infinity] + 
      31*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[2, Infinity]*((-121*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2942*S[-5, -1, Infinity] + 217*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-603*S[-5, 1, 1, Infinity] + 
      790*S[5, -1, -1, Infinity] + 2772*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-28260800*S[-7, -1, Infinity] - 4762587*S[5, 3, Infinity] - 
     3411200*S[-5, -1, -1, -1, Infinity] - 
     2439680*S[-5, -1, 1, 1, Infinity] + 11361280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -1, -2, -1, 1, 1, Infinity] -> 
  (7*S[-1, Infinity]^8)/5760 + (2327*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (4418531*S[2, Infinity]^4)/196000 + 
   ((23181*S[-1, Infinity]^2)/1792 - (194099*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-21041*S[-1, Infinity]^3)/384 + 
     (179435*S[-1, Infinity]*S[2, Infinity])/896 + (27113*S[3, Infinity])/
      224)*S[5, Infinity] + (1917295*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1133*S[-1, Infinity]^4)/6720 - 
     (4031*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-8069*S[-1, Infinity]^5)/6720 + 
     (1269*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (216921*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (999*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-11975*S[-5, -1, Infinity] - 1008*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(-597*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(606*S[-5, 1, 1, Infinity] - 955*S[5, -1, -1, Infinity] - 
      2940*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3671680*S[-7, -1, Infinity] + 606227*S[5, 3, Infinity] + 
     437440*S[-5, -1, -1, -1, Infinity] + 311840*S[-5, -1, 1, 1, Infinity] - 
     1536640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[-1, -1, -1, -2, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/480 + 
   (5597*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (3534277*S[2, Infinity]^4)/196000 + 
   ((813*S[-1, Infinity]^2)/56 - (5207*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-21041*S[-1, Infinity]^3)/384 + (149195*S[-1, Infinity]*S[2, Infinity])/
      896 + (648803*S[3, Infinity])/7168)*S[5, Infinity] + 
   (1917295*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1487*S[-1, Infinity]^4)/3360 - 
     (1753*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-7019*S[-1, Infinity]^5)/6720 + 
     (6725*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (378913*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (859*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2705*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(1089*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(606*S[-5, 1, 1, Infinity] - 955*S[5, -1, -1, Infinity] - 
      2940*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (26248640*S[-7, -1, Infinity] + 4269327*S[5, 3, Infinity] + 
     3096320*S[-5, -1, -1, -1, Infinity] + 
     2243840*S[-5, -1, 1, 1, Infinity] - 11038720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -1, -2, -1, -1, 1, Infinity] -> 
  (401*S[-1, Infinity]^8)/40320 + (2353*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (4300987*S[2, Infinity]^4)/98000 + 
   ((20511*S[-1, Infinity]^2)/896 - (177705*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-36355*S[-1, Infinity]^3)/384 + 
     (329023*S[-1, Infinity]*S[2, Infinity])/896 + (215791*S[3, Infinity])/
      896)*S[5, Infinity] + (1590979*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-801*S[-1, Infinity]^4)/2240 - 
     (1611*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-95*S[-1, Infinity]^5)/42 + 
     (7495*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (405789*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (7495*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((79*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-23915*S[-5, -1, Infinity] - 1344*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-3307*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(591*S[-5, 1, 1, Infinity] - 781*S[5, -1, -1, Infinity] - 
      2604*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (13721280*S[-7, -1, Infinity] + 2286161*S[5, 3, Infinity] + 
     1592960*S[-5, -1, -1, -1, Infinity] + 
     1258560*S[-5, -1, 1, 1, Infinity] - 5510400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, -1, -2, -1, -1, -1, Infinity] -> 
  (3*S[-1, Infinity]^8)/560 + (6127*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1076463*S[2, Infinity]^4)/24500 + 
   ((1215*S[-1, Infinity]^2)/56 - (46171*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-36355*S[-1, Infinity]^3)/384 + 
     (351871*S[-1, Infinity]*S[2, Infinity])/896 + (453541*S[3, Infinity])/
      1792)*S[5, Infinity] + (1590979*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-173*S[-1, Infinity]^4)/336 - 
     (992*S[-1, 1, 1, 1, Infinity])/35) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-7901*S[-1, Infinity]^5)/3360 + 
     (1949*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (106741*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (7901*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-3041*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (3*S[-1, Infinity]^2*(571*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(591*S[-5, 1, 1, Infinity] - 781*S[5, -1, -1, Infinity] - 
      2604*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1768640*S[-7, -1, Infinity] + 293457*S[5, 3, Infinity] + 
     208640*S[-5, -1, -1, -1, Infinity] + 158720*S[-5, -1, 1, 1, Infinity] - 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -1, -2, 1, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/2688 - 
   (73*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (811393*S[2, Infinity]^4)/
    784000 + ((-831*S[-1, Infinity]^2)/1792 + (1513*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 + 
     (2633*S[-1, Infinity]*S[2, Infinity])/448 + (501*S[3, Infinity])/224)*
    S[5, Infinity] - (158127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((607*S[-1, Infinity]^4)/6720 - 
     (47*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*(S[-1, Infinity]^5/210 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (559*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (149*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-27*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-261760*S[-7, -1, Infinity] - 35351*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 322560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -2, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/2520 - (71*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (20801*S[2, Infinity]^4)/392000 + ((-1425*S[-1, Infinity]^2)/1792 - 
     (3601*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/64 + (5801*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1439*S[3, Infinity])/448)*S[5, Infinity] - 
   (158127*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/1680 - 
     (25*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/3360 + 
     (73*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (20*S[-1, Infinity]*S[2, Infinity]^2)/7 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-93*S[-5, -1, Infinity] + 
      196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-299*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (294720*S[-7, -1, Infinity] + 53861*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 125440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -2, 1, 1, -1, 1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/40320 - (433*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (1786789*S[2, Infinity]^4)/156800 + 
   ((53*S[-1, Infinity]^2)/448 + (237*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((2077*S[-1, Infinity]^3)/384 - (73449*S[-1, Infinity]*S[2, Infinity])/
      896 - (297543*S[3, Infinity])/7168)*S[5, Infinity] - 
   (123589*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((1741*S[-1, Infinity]^4)/2240 + 
     (174*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3197*S[-1, Infinity]^5)/6720 - (2581*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (157159*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (815*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(240*S[-5, -1, Infinity] + 
      77*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4289*S[-5, -1, Infinity] + 308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-64*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-2036672*S[-7, -1, Infinity] - 313499*S[5, 3, Infinity] - 
     203520*S[-5, -1, -1, -1, Infinity] - 183552*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 1060864*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -1, -2, 1, 1, -1, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/8064 - (129*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (564679*S[2, Infinity]^4)/49000 + 
   ((673*S[-1, Infinity]^2)/896 + (32639*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((713*S[-1, Infinity]^3)/128 - 
     (85111*S[-1, Infinity]*S[2, Infinity])/896 - (194699*S[3, Infinity])/
      7168)*S[5, Infinity] - (123589*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((5377*S[-1, Infinity]^4)/6720 + 
     (347*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((3239*S[-1, Infinity]^5)/6720 - (3127*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (174757*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1651*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (7*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(543*S[-5, -1, Infinity] + 
      154*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-149*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1270*S[-5, -1, Infinity] + 77*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-64*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-11903680*S[-7, -1, Infinity] - 1752211*S[5, 3, Infinity] - 
     1178880*S[-5, -1, -1, -1, Infinity] - 
     1088000*S[-5, -1, 1, 1, Infinity] + 6200320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -2, 1, -1, 1, 1, Infinity] -> 
  (271*S[-1, Infinity]^8)/40320 + (4987*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2634483*S[2, Infinity]^4)/112000 + 
   ((717*S[-1, Infinity]^2)/128 - (12273*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-12989*S[-1, Infinity]^3)/384 + 
     (24637*S[-1, Infinity]*S[2, Infinity])/128 + (122035*S[3, Infinity])/
      1024)*S[5, Infinity] + (165179*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-173*S[-1, Infinity]^4)/320 - 
     (281*S[-1, 1, 1, 1, Infinity])/20) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-363*S[-1, Infinity]^5)/320 + 
     (339*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (11263*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (267*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1725*S[-5, -1, Infinity] - 
       44*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-219*S[-5, -1, Infinity] - 
      22*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 77*S[5, -1, -1, Infinity] - 
      292*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3859520*S[-7, -1, Infinity] + 634907*S[5, 3, Infinity] + 
     431360*S[-5, -1, -1, -1, Infinity] + 359680*S[-5, -1, 1, 1, Infinity] - 
     1653760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, -1, -2, 1, -1, 1, -1, Infinity] -> (23*S[-1, Infinity]^8)/4032 + 
   (1247*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (8787871*S[2, Infinity]^4)/392000 + 
   ((435*S[-1, Infinity]^2)/112 - (46937*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1085*S[-1, Infinity]^3)/32 + 
     (102537*S[-1, Infinity]*S[2, Infinity])/448 + (924117*S[3, Infinity])/
      7168)*S[5, Infinity] + (165179*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-599*S[-1, Infinity]^4)/672 - 
     (1019*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-8341*S[-1, Infinity]^5)/6720 + 
     (4139*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (450567*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (4097*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-3193*S[-5, -1, Infinity] - 77*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-852*S[-5, -1, Infinity] - 
      77*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] - 77*S[5, -1, -1, Infinity] - 
      292*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (29318720*S[-7, -1, Infinity] + 4854033*S[5, 3, Infinity] + 
     3457280*S[-5, -1, -1, -1, Infinity] + 
     2608640*S[-5, -1, 1, 1, Infinity] - 12113920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -2, 1, -1, -1, 1, Infinity] -> 
  (-73*S[-1, Infinity]^8)/13440 + (16279*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1874581*S[2, Infinity]^4)/56000 + 
   ((6009*S[-1, Infinity]^2)/896 - (9087*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-5673*S[-1, Infinity]^3)/128 + 
     (293145*S[-1, Infinity]*S[2, Infinity])/896 + (10959*S[3, Infinity])/64)*
    S[5, Infinity] + (1300629*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-93*S[-1, Infinity]^4)/64 - 
     (927*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-115*S[-1, Infinity]^5)/64 + 
     (579*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (65091*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (867*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((21*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-887*S[-5, -1, Infinity] - 36*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (3*S[-1, Infinity]^2*(-801*S[-5, -1, Infinity] - 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(227*S[-5, 1, 1, Infinity] - 
      193*S[5, -1, -1, Infinity] - 868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (3*(498240*S[-7, -1, Infinity] + 79519*S[5, 3, Infinity] + 
      55680*S[-5, -1, -1, -1, Infinity] + 46400*S[-5, -1, 1, 1, Infinity] - 
      206080*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/1280, 
 S[-1, -1, -2, 1, -1, -1, -1, Infinity] -> (83*S[-1, Infinity]^8)/13440 + 
   (7841*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (28990901*S[2, Infinity]^4)/784000 + 
   ((7305*S[-1, Infinity]^2)/896 - (125787*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1395*S[-1, Infinity]^3)/32 + 
     (133725*S[-1, Infinity]*S[2, Infinity])/448 + (723897*S[3, Infinity])/
      3584)*S[5, Infinity] + (1300629*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-3329*S[-1, Infinity]^4)/2240 - 
     (153*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-4059*S[-1, Infinity]^5)/2240 + 
     (901*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (306729*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1530*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/96 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(-1538*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      14) - (3*S[-1, Infinity]^2*(753*S[-5, -1, Infinity] + 
      70*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(227*S[-5, 1, 1, Infinity] - 
      193*S[5, -1, -1, Infinity] - 868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (9*(2232000*S[-7, -1, Infinity] + 362933*S[5, 3, Infinity] + 
      239360*S[-5, -1, -1, -1, Infinity] + 217600*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2 - 931840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-1, -1, -2, -1, 1, 1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/6720 - (1647*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (52631*S[2, Infinity]^4)/4900 + 
   ((-409*S[-1, Infinity]^2)/896 + (33751*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((651*S[-1, Infinity]^3)/64 - 
     (19479*S[-1, Infinity]*S[2, Infinity])/224 - (64165*S[3, Infinity])/
      1792)*S[5, Infinity] - (368455*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/3360 + 
     (1437*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((451*S[-1, Infinity]^5)/1120 - 
     (1451*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (84641*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (326*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4883*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(1341*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-104*S[-5, 1, 1, Infinity] + 
      155*S[5, -1, -1, Infinity] + 756*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-286368*S[-7, -1, Infinity] - 48089*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 24000*S[-5, -1, 1, 1, Infinity] + 
     136192*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/896, 
 S[-1, -1, -2, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/126 - 
   (401*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (795803*S[2, Infinity]^4)/112000 + 
   ((-43*S[-1, Infinity]^2)/56 + (555*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((527*S[-1, Infinity]^3)/48 - (34897*S[-1, Infinity]*S[2, Infinity])/448 - 
     (1883*S[3, Infinity])/64)*S[5, Infinity] - 
   (368455*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/60 + 
     (67*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((97*S[-1, Infinity]^5)/240 - (353*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (10127*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (187*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(1279*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + 76*S[-5, -1, Infinity] - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-104*S[-5, 1, 1, Infinity] + 
      155*S[5, -1, -1, Infinity] + 756*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-367360*S[-7, -1, Infinity] - 58793*S[5, 3, Infinity] - 
     42880*S[-5, -1, -1, -1, Infinity] - 29120*S[-5, -1, 1, 1, Infinity] - 
     1920*S[-1, 1, 1, 1, Infinity]^2 + 175360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, -1, -2, -1, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/480 + (449*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (257709*S[2, Infinity]^4)/196000 + 
   ((387*S[-1, Infinity]^2)/112 + (7773*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/128 - 
     (28773*S[-1, Infinity]*S[2, Infinity])/896 - (9291*S[3, Infinity])/7168)*
    S[5, Infinity] + (4119*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((173*S[-1, Infinity]^4)/1120 + 
     (69*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((57*S[-1, Infinity]^5)/2240 - (11*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (35319*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (159*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(247*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (271*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(614720*S[-7, -1, Infinity] + 106677*S[5, 3, Infinity] + 
      113920*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
      143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, -1, -2, -1, 1, -1, -1, Infinity] -> (23*S[-1, Infinity]^8)/13440 + 
   (127*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (109393*S[2, Infinity]^4)/98000 + 
   ((747*S[-1, Infinity]^2)/224 + (1899*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/128 - 
     (29073*S[-1, Infinity]*S[2, Infinity])/896 - (56493*S[3, Infinity])/
      7168)*S[5, Infinity] + (4119*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((463*S[-1, Infinity]^4)/2240 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((47*S[-1, Infinity]^5)/2240 - (145*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (31659*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/120 + 
     (673*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(223*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(658880*S[-7, -1, Infinity] + 131907*S[5, 3, Infinity] + 
      103680*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
      322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-1, -1, -2, -1, -1, 1, 1, Infinity] -> (241*S[-1, Infinity]^8)/40320 - 
   (2511*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (198549*S[2, Infinity]^4)/5600 + ((-12867*S[-1, Infinity]^2)/1792 + 
     (39167*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((775*S[-1, Infinity]^3)/16 - (18813*S[-1, Infinity]*S[2, Infinity])/56 - 
     (197267*S[3, Infinity])/1024)*S[5, Infinity] - 
   (383535*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1213*S[-1, Infinity]^4)/960 + 
     (961*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((37*S[-1, Infinity]^5)/20 - (575*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (673077*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (903*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-925*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(5071*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(221*S[-5, 1, 1, Infinity] - 
      234*S[5, -1, -1, Infinity] - 952*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-1249472*S[-7, -1, Infinity] - 202823*S[5, 3, Infinity] - 
     141568*S[-5, -1, -1, -1, Infinity] - 115712*S[-5, -1, 1, 1, Infinity] + 
     517120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1024, 
 S[-1, -1, -2, -1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/384 - 
   (9073*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (801419*S[2, Infinity]^4)/22400 + ((-15009*S[-1, Infinity]^2)/1792 + 
     (37497*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((6045*S[-1, Infinity]^3)/128 - (281415*S[-1, Infinity]*S[2, Infinity])/
      896 - (206667*S[3, Infinity])/1024)*S[5, Infinity] - 
   (383535*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((421*S[-1, Infinity]^4)/320 + 
     (447*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((293*S[-1, Infinity]^5)/160 - (527*S[-1, Infinity]^3*S[2, Infinity])/
      32 - (639183*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (447*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/160 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*(-57*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) - 
   (3*S[-1, Infinity]^2*(-1611*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(221*S[-5, 1, 1, Infinity] - 
      234*S[5, -1, -1, Infinity] - 952*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 - (3*(400192*S[-7, -1, Infinity] + 65265*S[5, 3, Infinity] + 
      44288*S[-5, -1, -1, -1, Infinity] + 38144*S[-5, -1, 1, 1, Infinity] + 
      1536*S[-1, 1, 1, 1, Infinity]^2 - 163840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1024, S[-1, -1, -2, -1, -1, -1, 1, Infinity] -> 
  (-109*S[-1, Infinity]^8)/13440 - (24673*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (16742193*S[2, Infinity]^4)/392000 + 
   ((-8811*S[-1, Infinity]^2)/896 + (174205*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/8 - 
     (93127*S[-1, Infinity]*S[2, Infinity])/224 - (437497*S[3, Infinity])/
      1792)*S[5, Infinity] - (1078757*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((597*S[-1, Infinity]^4)/448 + 
     (3933*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((631*S[-1, Infinity]^5)/280 - 
     (2503*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (83649*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (1893*S[-1, 1, 1, 1, 1, Infinity])/7) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(3235*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/360 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (24531*S[-5, -1, Infinity] + 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-401*S[-5, 1, 1, Infinity] + 
      523*S[5, -1, -1, Infinity] + 1876*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-13721280*S[-7, -1, Infinity] - 2286161*S[5, 3, Infinity] - 
     1592960*S[-5, -1, -1, -1, Infinity] - 
     1258560*S[-5, -1, 1, 1, Infinity] + 5510400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, -2, -1, -1, -1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/5040 - (6397*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1046363*S[2, Infinity]^4)/24500 + 
   ((-1935*S[-1, Infinity]^2)/224 + (45317*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((8463*S[-1, Infinity]^3)/128 - 
     (394705*S[-1, Infinity]*S[2, Infinity])/896 - (460107*S[3, Infinity])/
      1792)*S[5, Infinity] - (1078757*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((2503*S[-1, Infinity]^4)/1680 + 
     (992*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((7957*S[-1, Infinity]^5)/3360 - (7831*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (2749*S[-1, Infinity]*S[2, Infinity]^2)/14 - 
     (7957*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (2*(-1559*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(1677*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-401*S[-5, 1, 1, Infinity] + 
      523*S[5, -1, -1, Infinity] + 1876*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-1768640*S[-7, -1, Infinity] - 293457*S[5, 3, Infinity] - 
     208640*S[-5, -1, -1, -1, Infinity] - 158720*S[-5, -1, 1, 1, Infinity] + 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -2, 1, 1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (14317*S[2, Infinity]^4)/
    56000 + ((-89*S[-1, Infinity]^2)/128 - (41*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((S[-1, Infinity]*S[2, Infinity])/32 + 
     (1571*S[3, Infinity])/512)*S[5, Infinity] + 
   (1683*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/15 + S[-1, 1, 1, 1, Infinity]/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(S[-1, Infinity]^5/15 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2*S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-8000*S[-7, -1, Infinity] + 1207*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2 + 2560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -2, 1, 1, 1, 1, -1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/13440 + (129*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 + (964791*S[2, Infinity]^4)/784000 + 
   ((-533*S[-1, Infinity]^2)/896 + (627*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-473*S[-1, Infinity]*S[2, Infinity])/224 + 
     (2671*S[3, Infinity])/1792)*S[5, Infinity] + 
   (1683*S[-1, Infinity]*S[7, Infinity])/512 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((697*S[-1, Infinity]^4)/2240 - 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((127*S[-1, Infinity]^5)/1680 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (2323*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (107*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((61*S[-1, Infinity]^6)/1440 + (291*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
      2*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-158880*S[-7, -1, Infinity] - 13451*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 18240*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 161280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -2, 1, 1, 1, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/20160 + (1159*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1319637*S[2, Infinity]^4)/784000 + 
   ((-271*S[-1, Infinity]^2)/256 + (5063*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/128 + 
     (201*S[-1, Infinity]*S[2, Infinity])/128 + (21389*S[3, Infinity])/7168)*
    S[5, Infinity] - (49225*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-379*S[-1, Infinity]^4)/1680 + 
     (11*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/6720 + 
     (149*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (279*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (169*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/48 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (235*S[-5, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1228480*S[-7, -1, Infinity] - 160423*S[5, 3, Infinity] - 
     78080*S[-5, -1, -1, -1, Infinity] - 101120*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1182720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, 1, 1, 1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/40320 - (977*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (780497*S[2, Infinity]^4)/784000 + 
   ((-45*S[-1, Infinity]^2)/32 + (429*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/128 + (105*S[-1, Infinity]*S[2, Infinity])/128 - 
     (2341*S[3, Infinity])/896)*S[5, Infinity] - 
   (49225*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-761*S[-1, Infinity]^4)/1344 + 
     (32*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/560 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1001*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14) + S[-1, Infinity]^2*
    (2*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/480 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (379*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-13070*S[-7, -1, Infinity] - 1887*S[5, 3, Infinity] - 
     1080*S[-5, -1, -1, -1, Infinity] - 1300*S[-5, -1, 1, 1, Infinity] + 
     840*S[-1, 1, 1, 1, Infinity]^2 + 3360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[-1, -2, 1, 1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/896 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (7846053*S[2, Infinity]^4)/784000 + 
   ((2601*S[-1, Infinity]^2)/1792 - (48383*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-961*S[-1, Infinity]^3)/192 + 
     (14281*S[-1, Infinity]*S[2, Infinity])/224 + (173959*S[3, Infinity])/
      7168)*S[5, Infinity] + (3873*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((-2809*S[-1, Infinity]^4)/6720 - 
     (1377*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/280 + 
     (887*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (132751*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (2691*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/32 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-4007*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-234*S[-5, -1, Infinity] + 
      49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (8998720*S[-7, -1, Infinity] + 1326827*S[5, 3, Infinity] + 
     825600*S[-5, -1, -1, -1, Infinity] + 876800*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 4730880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, 1, 1, -1, 1, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/2688 + (253*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1373573*S[2, Infinity]^4)/156800 + 
   ((797*S[-1, Infinity]^2)/448 - (9895*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-961*S[-1, Infinity]^3)/192 + 
     (23021*S[-1, Infinity]*S[2, Infinity])/448 + (23593*S[3, Infinity])/896)*
    S[5, Infinity] + (3873*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((-1023*S[-1, Infinity]^4)/2240 - 
     (211*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-479*S[-1, Infinity]^5)/1344 + 
     (1457*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (856*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1187*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-100*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3557*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (379168*S[-7, -1, Infinity] + 55457*S[5, 3, Infinity] + 
     32128*S[-5, -1, -1, -1, Infinity] + 38208*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 213248*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, -2, 1, 1, -1, -1, 1, Infinity] -> 
  (-53*S[-1, Infinity]^8)/10080 + (4371*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (3128757*S[2, Infinity]^4)/392000 + 
   ((11*S[-1, Infinity]^2)/224 - (7135*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-1147*S[-1, Infinity]^3)/128 + 
     (61737*S[-1, Infinity]*S[2, Infinity])/896 + (56643*S[3, Infinity])/
      1792)*S[5, Infinity] + (37265*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/280 - 
     (421*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-325*S[-1, Infinity]^5)/1344 + 
     (2003*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (70313*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1187*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((167*S[-1, Infinity]^6)/720 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(-1489*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(347*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (2512960*S[-7, -1, Infinity] + 386079*S[5, 3, Infinity] + 
     263680*S[-5, -1, -1, -1, Infinity] + 229120*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 1111040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -2, 1, 1, -1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/1440 + (947*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (263369*S[2, Infinity]^4)/31360 + 
   ((-489*S[-1, Infinity]^2)/448 - (15425*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1147*S[-1, Infinity]^3)/128 + 
     (61737*S[-1, Infinity]*S[2, Infinity])/896 + (68465*S[3, Infinity])/
      3584)*S[5, Infinity] + (37265*S[-1, Infinity]*S[7, Infinity])/512 - 
   (517*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1517*S[-1, Infinity]^4)/3360 - 
     (1999*S[-1, 1, 1, 1, Infinity])/280) + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-523*S[-1, Infinity]^5)/2240 + 
     (313*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (69781*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1159*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/90 - (4425*S[-5, -1, Infinity])/
      56 - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity] - 
      140*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (1058496*S[-7, -1, Infinity] + 164569*S[5, 3, Infinity] + 
     112640*S[-5, -1, -1, -1, Infinity] + 90752*S[-5, -1, 1, 1, Infinity] - 
     23296*S[-1, 1, 1, 1, Infinity]^2 - 526848*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, -2, 1, -1, 1, 1, 1, Infinity] -> 
  (131*S[-1, Infinity]^8)/40320 + (S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (7354489*S[2, Infinity]^4)/784000 + 
   ((945*S[-1, Infinity]^2)/256 + (39971*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2759*S[-1, Infinity]^3)/384 - 
     (8703*S[-1, Infinity]*S[2, Infinity])/128 - (177609*S[3, Infinity])/
      7168)*S[5, Infinity] + (42227*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1163*S[-1, Infinity]^4)/1344 + 
     (223*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((1241*S[-1, Infinity]^5)/3360 - (159*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (17389*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (2307*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(77*S[-5, -1, Infinity] - 
      20*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((-79*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (841*S[-5, -1, Infinity] + 35*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 72*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-7492160*S[-7, -1, Infinity] - 1124251*S[5, 3, Infinity] - 
     661760*S[-5, -1, -1, -1, Infinity] - 753920*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 4193280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, 1, -1, 1, 1, -1, Infinity] -> 
  (73*S[-1, Infinity]^8)/20160 - (1761*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (3655401*S[2, Infinity]^4)/392000 + 
   ((1189*S[-1, Infinity]^2)/256 + (47923*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2759*S[-1, Infinity]^3)/384 - 
     (10725*S[-1, Infinity]*S[2, Infinity])/128 - (108765*S[3, Infinity])/
      3584)*S[5, Infinity] + (42227*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1003*S[-1, Infinity]^4)/1120 + 
     (279*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((193*S[-1, Infinity]^5)/448 - (235*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (513*S[-1, Infinity]*S[2, Infinity]^2)/16 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (340*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(1399*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(9*S[-5, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 72*S[5, -1, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-2249920*S[-7, -1, Infinity] - 337397*S[5, 3, Infinity] - 
     212480*S[-5, -1, -1, -1, Infinity] - 215360*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 1164800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -2, 1, -1, 1, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/5760 - (839*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (842651*S[2, Infinity]^4)/196000 + 
   ((103*S[-1, Infinity]^2)/64 + (9701*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 - 
     (8175*S[-1, Infinity]*S[2, Infinity])/128 - (153763*S[3, Infinity])/
      7168)*S[5, Infinity] - (45419*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((2171*S[-1, Infinity]^4)/6720 + 
     (179*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((613*S[-1, Infinity]^5)/2240 - (1853*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (3001*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (937*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (661*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(101*S[-5, -1, Infinity] - 
      12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-6482880*S[-7, -1, Infinity] - 1004471*S[5, 3, Infinity] - 
     748800*S[-5, -1, -1, -1, Infinity] - 505600*S[-5, -1, 1, 1, Infinity] + 
     3046400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, 1, -1, 1, -1, -1, Infinity] -> (5*S[-1, Infinity]^8)/2016 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (669273*S[2, Infinity]^4)/
    196000 + ((883*S[-1, Infinity]^2)/1792 + (19123*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 - 
     (13317*S[-1, Infinity]*S[2, Infinity])/448 - (23039*S[3, Infinity])/
      7168)*S[5, Infinity] - (45419*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (305*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((1009*S[-1, Infinity]^4)/3360 + 
     (453*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((899*S[-1, Infinity]^5)/6720 - 
     (425*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (9929*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (467*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 + (1487*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3716800*S[-7, -1, Infinity] - 535813*S[5, 3, Infinity] - 
     341760*S[-5, -1, -1, -1, Infinity] - 312320*S[-5, -1, 1, 1, Infinity] + 
     2222080*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, 1, -1, -1, 1, 1, Infinity] -> (-83*S[-1, Infinity]^8)/20160 - 
   (923*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (9677061*S[2, Infinity]^4)/784000 + 
   ((1991*S[-1, Infinity]^2)/1792 + (105575*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1333*S[-1, Infinity]^3)/128 - 
     (131219*S[-1, Infinity]*S[2, Infinity])/896 - (182153*S[3, Infinity])/
      3584)*S[5, Infinity] - (276919*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((2687*S[-1, Infinity]^4)/3360 + 
     (1387*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((369*S[-1, Infinity]^5)/560 - 
     (4015*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (128693*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (2249*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(1909*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/80 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (7627*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-68*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-8870080*S[-7, -1, Infinity] - 1355887*S[5, 3, Infinity] - 
     980480*S[-5, -1, -1, -1, Infinity] - 766720*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 3942400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, 1, -1, -1, 1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/4032 - (575*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (11742957*S[2, Infinity]^4)/784000 + 
   ((601*S[-1, Infinity]^2)/448 + (26301*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1333*S[-1, Infinity]^3)/128 - 
     (117779*S[-1, Infinity]*S[2, Infinity])/896 - (180501*S[3, Infinity])/
      3584)*S[5, Infinity] - (276919*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (437*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((491*S[-1, Infinity]^4)/560 + 
     (531*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((2179*S[-1, Infinity]^5)/3360 - (731*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (63069*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1107*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/15 + (8061*S[-5, -1, Infinity])/56 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-68*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] + 
      560*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(-3031360*S[-7, -1, Infinity] - 473793*S[5, 3, Infinity] - 
      314880*S[-5, -1, -1, -1, Infinity] - 280960*S[-5, -1, 1, 1, Infinity] + 
      26880*S[-1, 1, 1, 1, Infinity]^2 + 1415680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-1, -2, 1, -1, -1, -1, 1, Infinity] -> 
  (-59*S[-1, Infinity]^8)/13440 - (659*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (19438641*S[2, Infinity]^4)/784000 + 
   ((-197*S[-1, Infinity]^2)/224 + (4051*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/128 - 
     (38691*S[-1, Infinity]*S[2, Infinity])/224 - (375887*S[3, Infinity])/
      3584)*S[5, Infinity] - (3119*S[-1, Infinity]*S[7, Infinity])/112 + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((11573*S[-1, Infinity]^4)/6720 + 
     (3309*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((2563*S[-1, Infinity]^5)/2240 - 
     (2959*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (184047*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (7199*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(2215*S[-5, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-299*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (11161*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-197*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2893600*S[-7, -1, Infinity] - 451603*S[5, 3, Infinity] - 
     274560*S[-5, -1, -1, -1, Infinity] - 305600*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2 + 1308160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -2, 1, -1, -1, -1, -1, Infinity] -> 
  (-61*S[-1, Infinity]^8)/4480 - (867*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (7986733*S[2, Infinity]^4)/392000 + 
   ((-37*S[-1, Infinity]^2)/448 + (28859*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/128 - 
     (144495*S[-1, Infinity]*S[2, Infinity])/896 - (662377*S[3, Infinity])/
      7168)*S[5, Infinity] - (3119*S[-1, Infinity]*S[7, Infinity])/112 + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((12553*S[-1, Infinity]^4)/6720 + 
     (1259*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1187*S[-1, Infinity]^5)/1120 - 
     (1951*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (324981*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (829*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-73*S[-1, Infinity]^6)/288 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (9943*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(2047*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-197*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      868*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-20601920*S[-7, -1, Infinity] - 3151349*S[5, 3, Infinity] - 
     1954560*S[-5, -1, -1, -1, Infinity] - 
     2122240*S[-5, -1, 1, 1, Infinity] - 215040*S[-1, 1, 1, 1, Infinity]^2 + 
     9497600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, -1, 1, 1, 1, 1, Infinity] -> (-89*S[-1, Infinity]^8)/20160 - 
   (571*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2474153*S[2, Infinity]^4)/784000 + 
   ((-429*S[-1, Infinity]^2)/256 - (5871*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/64 + 
     (779*S[-1, Infinity]*S[2, Infinity])/64 - (43207*S[3, Infinity])/7168)*
    S[5, Infinity] - (7599*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-143*S[-1, Infinity]^4)/336 - 
     (51*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/448 + 
     (433*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3353*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (475*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      20*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-409*S[-5, -1, Infinity] + 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1929920*S[-7, -1, Infinity] + 251247*S[5, 3, Infinity] + 
     119040*S[-5, -1, -1, -1, Infinity] + 167680*S[-5, -1, 1, 1, Infinity] - 
     1720320*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, -1, 1, 1, 1, -1, Infinity] -> (-67*S[-1, Infinity]^8)/10080 - 
   (487*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (526851*S[2, Infinity]^4)/196000 + 
   ((-3589*S[-1, Infinity]^2)/1792 - (10037*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/64 + 
     (6749*S[-1, Infinity]*S[2, Infinity])/448 + (1807*S[3, Infinity])/3584)*
    S[5, Infinity] - (7599*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-1009*S[-1, Infinity]^4)/3360 - 
     (101*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/672 + 
     (253*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1441*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (45*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-155*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] - 
      252*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (25280*S[-7, -1, Infinity] + 3729*S[5, 3, Infinity] + 
     2400*S[-5, -1, -1, -1, Infinity] + 1660*S[-5, -1, 1, 1, Infinity] - 
     840*S[-1, 1, 1, 1, Infinity]^2 - 19600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[-1, -2, -1, 1, 1, -1, 1, Infinity] -> 
  (3*S[-1, Infinity]^8)/4480 - (857*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (4029849*S[2, Infinity]^4)/784000 + 
   ((-2327*S[-1, Infinity]^2)/896 - (6583*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/24 + 
     (16839*S[-1, Infinity]*S[2, Infinity])/448 + (52649*S[3, Infinity])/
      7168)*S[5, Infinity] - (181037*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-5623*S[-1, Infinity]^4)/6720 - 
     (13*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-2047*S[-1, Infinity]^5)/6720 + 
     (169*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (61963*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (831*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-398*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(29*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] + 183*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3667520*S[-7, -1, Infinity] + 320521*S[5, 3, Infinity] + 
     144640*S[-5, -1, -1, -1, Infinity] + 375040*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, -1, 1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/40320 - (73*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (416459*S[2, Infinity]^4)/56000 + ((-3049*S[-1, Infinity]^2)/1792 - 
     (2271*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/24 + (9855*S[-1, Infinity]*S[2, Infinity])/224 + 
     (4505*S[3, Infinity])/1024)*S[5, Infinity] - 
   (181037*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (121*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-323*S[-1, Infinity]^4)/320 - 
     (13*S[-1, 1, 1, 1, Infinity])/40) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (5*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-109*S[-1, Infinity]^5)/320 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (80091*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     34*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((17*S[-1, Infinity]^6)/160 - (323*S[-5, -1, Infinity])/8 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] + 183*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (706880*S[-7, -1, Infinity] + 82997*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 76800*S[-5, -1, 1, 1, Infinity] + 
     20480*S[-1, 1, 1, 1, Infinity]^2 - 527360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, -2, -1, 1, -1, 1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/1152 + (121*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (232451*S[2, Infinity]^4)/39200 + 
   ((185*S[-1, Infinity]^2)/1792 + (27257*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/32 - 
     (12959*S[-1, Infinity]*S[2, Infinity])/448 - (1129*S[3, Infinity])/112)*
    S[5, Infinity] - (140547*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1549*S[-1, Infinity]^4)/6720 + 
     (363*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((193*S[-1, Infinity]^5)/1120 - 
     (197*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (7549*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (579*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(467*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (545*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-51*S[-5, 1, 1, Infinity] + 61*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-60880*S[-7, -1, Infinity] - 9517*S[5, 3, Infinity] - 
     5728*S[-5, -1, -1, -1, Infinity] - 5808*S[-5, -1, 1, 1, Infinity] + 
     33600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[-1, -2, -1, 1, -1, 1, -1, Infinity] -> (-41*S[-1, Infinity]^8)/10080 - 
   (187*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (457987*S[2, Infinity]^4)/78400 + 
   ((51*S[-1, Infinity]^2)/64 + (10585*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/32 - 
     (7177*S[-1, Infinity]*S[2, Infinity])/128 - (90415*S[3, Infinity])/3584)*
    S[5, Infinity] - (140547*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((227*S[-1, Infinity]^4)/420 + 
     (233*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((953*S[-1, Infinity]^5)/3360 - (445*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (1929*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (953*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + (1471*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-51*S[-5, 1, 1, Infinity] + 61*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-43216*S[-7, -1, Infinity] - 6943*S[5, 3, Infinity] - 
     4896*S[-5, -1, -1, -1, Infinity] - 3728*S[-5, -1, 1, 1, Infinity] + 
     20608*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/224, 
 S[-1, -2, -1, 1, -1, -1, 1, Infinity] -> (-97*S[-1, Infinity]^8)/13440 - 
   (12*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (179481*S[2, Infinity]^4)/
    14000 + ((783*S[-1, Infinity]^2)/896 + (4029*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/64 - 
     (86445*S[-1, Infinity]*S[2, Infinity])/896 - (29109*S[3, Infinity])/512)*
    S[5, Infinity] + (228657*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((489*S[-1, Infinity]^4)/320 + 
     (9*S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    ((109*S[-1, Infinity]^5)/160 - (145*S[-1, Infinity]^3*S[2, Infinity])/
      32 - (48681*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (579*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-71*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-61*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (9*S[-1, Infinity]^2*(101*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 57*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(31680*S[-7, -1, Infinity] + 4799*S[5, 3, Infinity] + 
      2720*S[-5, -1, -1, -1, Infinity] + 3440*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2 - 15680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/320, S[-1, -2, -1, 1, -1, -1, -1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/3360 - (957*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (2140473*S[2, Infinity]^4)/196000 + 
   ((501*S[-1, Infinity]^2)/448 + (10377*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/64 - 
     (7677*S[-1, Infinity]*S[2, Infinity])/112 - (327219*S[3, Infinity])/
      7168)*S[5, Infinity] + (228657*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((831*S[-1, Infinity]^4)/560 + 
     (243*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1283*S[-1, Infinity]^5)/2240 - 
     (289*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (142053*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (831*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/40 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(799*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (3*S[-1, Infinity]^2*(243*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 57*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(2889280*S[-7, -1, Infinity] + 405581*S[5, 3, Infinity] + 
      200960*S[-5, -1, -1, -1, Infinity] + 354560*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -2, -1, -1, 1, 1, 1, Infinity] -> 
  (41*S[-1, Infinity]^8)/20160 + (501*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (2942383*S[2, Infinity]^4)/392000 + 
   ((-1699*S[-1, Infinity]^2)/896 - (31155*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/128 + 
     (83353*S[-1, Infinity]*S[2, Infinity])/896 + (8677*S[3, Infinity])/448)*
    S[5, Infinity] + (20413*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-277*S[-1, Infinity]^4)/3360 - 
     (1777*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1091*S[-1, Infinity]^5)/3360 + 
     (1231*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (9329*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1147*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-559*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-997*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(30*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity] - 
      294*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2630400*S[-7, -1, Infinity] + 396331*S[5, 3, Infinity] + 
     296960*S[-5, -1, -1, -1, Infinity] + 191360*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1361920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -2, -1, -1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/3360 - (63*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (5710529*S[2, Infinity]^4)/784000 + 
   ((-321*S[-1, Infinity]^2)/448 - (11941*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/128 + 
     (53785*S[-1, Infinity]*S[2, Infinity])/896 + (8117*S[3, Infinity])/3584)*
    S[5, Infinity] + (20413*S[-1, Infinity]*S[7, Infinity])/448 - 
   (199*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((2621*S[-1, Infinity]^4)/3360 - 
     (857*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-811*S[-1, Infinity]^5)/3360 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (14283*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (867*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/720 - (3561*S[-5, -1, Infinity])/
      56 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(30*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity] - 
      294*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (4461120*S[-7, -1, Infinity] + 661223*S[5, 3, Infinity] + 
     432640*S[-5, -1, -1, -1, Infinity] + 369280*S[-5, -1, 1, 1, Infinity] - 
     62720*S[-1, 1, 1, 1, Infinity]^2 - 2419200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, -1, -1, 1, -1, 1, Infinity] -> 
  (101*S[-1, Infinity]^8)/13440 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (9118007*S[2, Infinity]^4)/784000 + 
   ((951*S[-1, Infinity]^2)/1792 - (38505*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 + 
     (48789*S[-1, Infinity]*S[2, Infinity])/896 + (218733*S[3, Infinity])/
      7168)*S[5, Infinity] - (8601*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-515*S[-1, Infinity]^4)/448 - 
     (321*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-263*S[-1, Infinity]^5)/560 + 
     (337*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (27009*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (2883*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/160 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1160*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-613*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(2889280*S[-7, -1, Infinity] + 405581*S[5, 3, Infinity] + 
      200960*S[-5, -1, -1, -1, Infinity] + 354560*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -2, -1, -1, 1, -1, -1, Infinity] -> 
  (187*S[-1, Infinity]^8)/13440 + (37*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 - (690959*S[2, Infinity]^4)/56000 + 
   ((-1731*S[-1, Infinity]^2)/896 - (4173*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 + 
     (39933*S[-1, Infinity]*S[2, Infinity])/448 + (1713*S[3, Infinity])/32)*
    S[5, Infinity] - (8601*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-119*S[-1, Infinity]^4)/64 - 
     (27*S[-1, 1, 1, 1, Infinity])/8) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/64 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (10551*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (129*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-235*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/160 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-757*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (3*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(31680*S[-7, -1, Infinity] + 4799*S[5, 3, Infinity] + 
      2720*S[-5, -1, -1, -1, Infinity] + 3440*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2 - 15680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/320, S[-1, -2, -1, -1, -1, 1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/40320 + (373*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 - (1373453*S[2, Infinity]^4)/56000 + 
   ((-879*S[-1, Infinity]^2)/256 - (18063*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/128 + 
     (12549*S[-1, Infinity]*S[2, Infinity])/64 + (102597*S[3, Infinity])/
      1024)*S[5, Infinity] - (10619*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-2539*S[-1, Infinity]^4)/960 - 
     (46*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-1147*S[-1, Infinity]^5)/960 + 
     (889*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (54237*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1093*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((329*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-393*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-74*S[-5, -1, Infinity] + 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 28*S[5, -1, -1, Infinity] - 
      88*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3288000*S[-7, -1, Infinity] + 505539*S[5, 3, Infinity] + 
     308480*S[-5, -1, -1, -1, Infinity] + 343040*S[-5, -1, 1, 1, Infinity] + 
     30720*S[-1, 1, 1, 1, Infinity]^2 - 1561600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, -2, -1, -1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/1260 + (767*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (4754669*S[2, Infinity]^4)/196000 + 
   ((-1901*S[-1, Infinity]^2)/448 - (33353*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/128 + 
     (177987*S[-1, Infinity]*S[2, Infinity])/896 + (109055*S[3, Infinity])/
      896)*S[5, Infinity] - (10619*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-9451*S[-1, Infinity]^4)/3360 - 
     (661*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-403*S[-1, Infinity]^5)/336 + 
     (1343*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (94147*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (3841*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-1103*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((35*S[-1, Infinity]^6)/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5717*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 28*S[5, -1, -1, Infinity] - 
      88*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (2893600*S[-7, -1, Infinity] + 451603*S[5, 3, Infinity] + 
     274560*S[-5, -1, -1, -1, Infinity] + 305600*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 1308160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -2, -1, -1, -1, -1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/8064 + (8447*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (6713463*S[2, Infinity]^4)/392000 + 
   ((-2603*S[-1, Infinity]^2)/896 - (71691*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/32 + 
     (23151*S[-1, Infinity]*S[2, Infinity])/112 + (311625*S[3, Infinity])/
      3584)*S[5, Infinity] + (5179*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*((-7523*S[-1, Infinity]^4)/6720 - 
     (1569*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-2141*S[-1, Infinity]^5)/2240 + 
     (2113*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (184001*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3285*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((73*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-1655*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (S[-1, Infinity]^2*(-2435*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 28*S[5, -1, -1, Infinity] - 
      164*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (11791040*S[-7, -1, Infinity] + 1839867*S[5, 3, Infinity] + 
     1320960*S[-5, -1, -1, -1, Infinity] + 
     1004160*S[-5, -1, 1, 1, Infinity] - 5322240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, -1, -1, -1, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/2520 + (3641*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (917863*S[2, Infinity]^4)/49000 + 
   ((-1399*S[-1, Infinity]^2)/448 - (37027*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/32 + 
     (47391*S[-1, Infinity]*S[2, Infinity])/224 + (142211*S[3, Infinity])/
      1792)*S[5, Infinity] + (5179*S[-1, Infinity]*S[7, Infinity])/64 - 
   (1231*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-983*S[-1, Infinity]^4)/840 - 
     (424*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1319*S[-1, Infinity]^5)/1344 + 
     (6385*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (37829*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3371*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((8*S[-1, Infinity]^6)/45 - (1324*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 28*S[5, -1, -1, Infinity] - 
      164*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (776960*S[-7, -1, Infinity] + 123131*S[5, 3, Infinity] + 
     84480*S[-5, -1, -1, -1, Infinity] + 67840*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-2, 1, 1, 1, 1, 1, 1, Infinity] -> 
  -(S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, 1, Infinity]/2) + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 - 
   S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (S[-1, 1, 1, 1, Infinity]^2 + 2*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2, 
 S[-2, 1, 1, 1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/13440 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (3583*S[2, Infinity]^4)/
    11200 - (S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (103*S[3, Infinity]*S[5, Infinity])/256 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/160 + (3*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (7*S[3, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-5*S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (768*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] + 128*S[-1, 1, 1, 1, Infinity]^2 - 
     1024*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[-2, 1, 1, 1, 1, -1, 1, Infinity] -> (-29*S[-1, Infinity]^8)/20160 + 
   (57*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (13943*S[2, Infinity]^4)/28000 + ((-13*S[-1, Infinity]^2)/128 + 
     (165*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/2 + (7*S[3, Infinity])/4)*
    S[5, Infinity] + S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/240 + S[-1, 1, 1, 1, Infinity]/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/120 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (153*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2*S[-5, -1, Infinity] + 3*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-1840*S[-7, -1, Infinity] - 329*S[5, 3, Infinity] - 
     320*S[-5, -1, -1, -1, Infinity] - 80*S[-1, 1, 1, 1, Infinity]^2 + 
     1440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/160, 
 S[-2, 1, 1, 1, 1, -1, -1, Infinity] -> (-47*S[-1, Infinity]^8)/40320 + 
   (33*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (1027217*S[2, Infinity]^4)/
    784000 + ((559*S[-1, Infinity]^2)/896 + (2629*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (3655*S[-1, Infinity]*S[2, Infinity])/448 + (5181*S[3, Infinity])/3584)*
    S[5, Infinity] + (379*S[-1, Infinity]*S[7, Infinity])/256 + 
   (6*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-457*S[-1, Infinity]^4)/6720 - 
     S[-1, 1, 1, 1, Infinity]/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/336 - 
     (8*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (2551*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (81*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 + (151*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-369280*S[-7, -1, Infinity] - 62819*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 9600*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 394240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, 1, 1, 1, -1, 1, 1, Infinity] -> 
  (-53*S[-1, Infinity]^8)/13440 - (607*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (217311*S[2, Infinity]^4)/98000 + 
   ((5*S[-1, Infinity]^2)/112 - (101*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-39*S[-1, Infinity]*S[2, Infinity])/14 + (1465*S[3, Infinity])/3584)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1187*S[-1, Infinity]^4)/6720 - 
     (89*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(S[-1, Infinity]^5/448 - 
     (421*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/14 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (279*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(-135*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (323200*S[-7, -1, Infinity] + 26031*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 56960*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, 1, 1, 1, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/252 - (631*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1065023*S[2, Infinity]^4)/392000 + 
   ((353*S[-1, Infinity]^2)/896 - (2433*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 + 
     (5151*S[-1, Infinity]*S[2, Infinity])/896 + (10601*S[3, Infinity])/1792)*
    S[5, Infinity] - (24831*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1867*S[-1, Infinity]^4)/6720 - 
     (59*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/1344 - 
     (57*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (10091*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (529*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((73*S[-1, Infinity]^6)/1440 - (683*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (154480*S[-7, -1, Infinity] + 19973*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] + 20320*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2 - 103040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-2, 1, 1, 1, -1, -1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/40320 - (963*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (49837*S[2, Infinity]^4)/14000 + 
   ((-965*S[-1, Infinity]^2)/448 - (549*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (23447*S[-1, Infinity]*S[2, Infinity])/896 - (99*S[3, Infinity])/128)*
    S[5, Infinity] - (49611*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/320 - 
     (11*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-149*S[-1, Infinity]^5)/960 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (18359*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (61*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-79*S[-5, -1, Infinity] - 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-31*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (19720*S[-7, -1, Infinity] + 3419*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 720*S[-5, -1, 1, 1, Infinity] + 
     480*S[-1, 1, 1, 1, Infinity]^2 - 17280*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/320, S[-2, 1, 1, 1, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/4032 - (159*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (2390211*S[2, Infinity]^4)/784000 + 
   ((-15*S[-1, Infinity]^2)/112 - (1413*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((111*S[-1, Infinity]*S[2, Infinity])/7 + 
     (1569*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-15*S[-1, Infinity]^4)/224 - S[-1, 1, 1, 1, Infinity]/
      7) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-1207*S[-1, Infinity]^5)/6720 + 
     (605*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (18033*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (591*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-355*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-95*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1066560*S[-7, -1, Infinity] + 167117*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 698880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, 1, 1, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/2520 + (491*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (265521*S[2, Infinity]^4)/98000 + ((-837*S[-1, Infinity]^2)/1792 - 
     (5045*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((363*S[-1, Infinity]*S[2, Infinity])/28 + (50117*S[3, Infinity])/7168)*
    S[5, Infinity] - (93*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/336 + 
     (571*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/720 + (407*S[-5, -1, Infinity])/
      56 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/2240 + 
     (149*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (13437*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (253*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (-216000*S[-7, -1, Infinity] + 85053*S[5, 3, Infinity] + 
     119040*S[-5, -1, -1, -1, Infinity] - 128000*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 680960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, 1, -1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/448 + (2489*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (30391*S[2, Infinity]^4)/7840 + ((-441*S[-1, Infinity]^2)/256 - 
     (14031*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/64 + (1457*S[-1, Infinity]*S[2, Infinity])/64 + 
     (6623*S[3, Infinity])/7168)*S[5, Infinity] + 
   (183105*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (35*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-25*S[-1, Infinity]^4)/224 - 
     (181*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*(S[-1, Infinity]^5/28 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2721*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (191*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 + (37*S[-5, -1, Infinity])/56 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-9*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (199872*S[-7, -1, Infinity] + 56459*S[5, 3, Infinity] + 
     67328*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 + 86016*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, 1, 1, -1, 1, -1, 1, Infinity] -> 
  (-157*S[-1, Infinity]^8)/40320 + (801*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (2841661*S[2, Infinity]^4)/784000 + 
   ((-2565*S[-1, Infinity]^2)/1792 + (947*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 - 
     (1965*S[-1, Infinity]*S[2, Infinity])/448 - (82211*S[3, Infinity])/7168)*
    S[5, Infinity] + (216943*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((3139*S[-1, Infinity]^4)/6720 - 
     (69*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((1387*S[-1, Infinity]^5)/6720 - 
     (16*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (24609*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (603*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-10*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (333*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-749120*S[-7, -1, Infinity] - 78089*S[5, 3, Infinity] + 
     65280*S[-5, -1, -1, -1, Infinity] - 181760*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 752640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, 1, -1, 1, -1, -1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/40320 + (31*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 + (143221*S[2, Infinity]^4)/49000 + 
   ((-9*S[-1, Infinity]^2)/1792 + (10123*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-6987*S[-1, Infinity]*S[2, Infinity])/448 - 
     (42005*S[3, Infinity])/7168)*S[5, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((4121*S[-1, Infinity]^4)/6720 + 
     (429*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/210 - 
     (179*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (37917*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (879*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(73*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/144 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (611*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2434240*S[-7, -1, Infinity] - 319139*S[5, 3, Infinity] - 
     195840*S[-5, -1, -1, -1, Infinity] - 270080*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, 1, -1, -1, 1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/6720 + (621*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (5006*S[2, Infinity]^4)/875 + 
   ((6281*S[-1, Infinity]^2)/1792 + (2839*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-1333*S[-1, Infinity]^3)/384 - 
     (35761*S[-1, Infinity]*S[2, Infinity])/896 - (4973*S[3, Infinity])/1024)*
    S[5, Infinity] + (243717*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/80 + (9*S[-1, 1, 1, 1, Infinity])/
      10) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((33*S[-1, Infinity]^5)/160 - 
     (45*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (58781*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (121*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (169*S[-5, -1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-489280*S[-7, -1, Infinity] - 80597*S[5, 3, Infinity] - 
     57600*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2 + 389120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-2, 1, 1, -1, -1, 1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/10080 + (41*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (72699*S[2, Infinity]^4)/12250 + ((3489*S[-1, Infinity]^2)/1792 + 
     (29633*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/192 - (18601*S[-1, Infinity]*S[2, Infinity])/448 - 
     (72579*S[3, Infinity])/7168)*S[5, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((697*S[-1, Infinity]^4)/1120 + 
     (191*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((2087*S[-1, Infinity]^5)/6720 - 
     (129*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (84717*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1303*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/45 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-523*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(101*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-4678080*S[-7, -1, Infinity] - 797899*S[5, 3, Infinity] - 
     597760*S[-5, -1, -1, -1, Infinity] - 298240*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 2544640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, 1, -1, -1, -1, 1, Infinity] -> 
  (229*S[-1, Infinity]^8)/40320 + (301*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (4762641*S[2, Infinity]^4)/784000 + 
   ((1307*S[-1, Infinity]^2)/1792 + (14855*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 - 
     (4103*S[-1, Infinity]*S[2, Infinity])/448 - (58973*S[3, Infinity])/7168)*
    S[5, Infinity] + (167*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((365*S[-1, Infinity]^4)/1344 + 
     (723*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((15*S[-1, Infinity]^5)/112 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (36797*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (851*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1103*S[-5, -1, Infinity] + 588*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-2496960*S[-7, -1, Infinity] - 402159*S[5, 3, Infinity] - 
     213760*S[-5, -1, -1, -1, Infinity] - 288000*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, 1, -1, -1, -1, -1, Infinity] -> 
  (55*S[-1, Infinity]^8)/8064 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (666119*S[2, Infinity]^4)/98000 + ((-529*S[-1, Infinity]^2)/1792 + 
     (11455*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/384 - (9685*S[-1, Infinity]*S[2, Infinity])/
      896 - (104511*S[3, Infinity])/7168)*S[5, Infinity] + 
   (121259*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (159*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((169*S[-1, Infinity]^4)/448 + 
     (243*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((481*S[-1, Infinity]^5)/6720 + (373*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (40281*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1167*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/480 + (1573*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2804800*S[-7, -1, Infinity] - 370873*S[5, 3, Infinity] - 
     157440*S[-5, -1, -1, -1, Infinity] - 371200*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 2042880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, -1, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/3360 - (493*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (237373*S[2, Infinity]^4)/392000 + 
   ((657*S[-1, Infinity]^2)/1792 + (6353*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-261*S[-1, Infinity]*S[2, Infinity])/28 - 
     (48201*S[3, Infinity])/7168)*S[5, Infinity] + 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((293*S[-1, Infinity]^4)/6720 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/2240 - (73*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (13929*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (191*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-537280*S[-7, -1, Infinity] - 124461*S[5, 3, Infinity] - 
     93440*S[-5, -1, -1, -1, Infinity] - 40960*S[-5, -1, 1, 1, Infinity] - 
     430080*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, 1, -1, 1, 1, 1, -1, Infinity] -> (11*S[-1, Infinity]^8)/40320 - 
   (883*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (254869*S[2, Infinity]^4)/98000 + ((1595*S[-1, Infinity]^2)/1792 + 
     (6395*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-1303*S[-1, Infinity]*S[2, Infinity])/112 - (41943*S[3, Infinity])/7168)*
    S[5, Infinity] - (6231*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (101*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((25*S[-1, Infinity]^4)/1344 - S[-1, 1, 1, 1, Infinity]/
      14) + S[3, Infinity]*((-19*S[-1, Infinity]^5)/6720 - 
     (S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (10163*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 + (65*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-335680*S[-7, -1, Infinity] - 128507*S[5, 3, Infinity] - 
     147200*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
     680960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, 1, -1, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/2880 - 
   (463*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (587417*S[2, Infinity]^4)/156800 + 
   ((6925*S[-1, Infinity]^2)/1792 + (21537*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (7871*S[-1, Infinity]*S[2, Infinity])/224 - (43577*S[3, Infinity])/3584)*
    S[5, Infinity] - (139179*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((87*S[-1, Infinity]^4)/1120 + 
     (17*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    ((181*S[-1, Infinity]^5)/6720 - (1105*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (8789*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (181*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(93*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((67*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (405*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-182464*S[-7, -1, Infinity] - 44549*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 2432*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-2, 1, -1, 1, 1, -1, -1, Infinity] -> (23*S[-1, Infinity]^8)/40320 - 
   (2949*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (60553*S[2, Infinity]^4)/112000 + 
   ((433*S[-1, Infinity]^2)/256 + (1571*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-2493*S[-1, Infinity]*S[2, Infinity])/64 - 
     (4295*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/320 + 
     (21*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((21*S[-1, Infinity]^5)/320 - 2*S[-1, Infinity]^3*S[2, Infinity] - 
     (93*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
     (63*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2 + S[2, Infinity]*((13*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (19*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (-73760*S[-7, -1, Infinity] - 15947*S[5, 3, Infinity] - 
     13440*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     6400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[-2, 1, -1, 1, -1, 1, 1, Infinity] -> (31*S[-1, Infinity]^8)/40320 - 
   (781*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (175907*S[2, Infinity]^4)/156800 + 
   ((-2299*S[-1, Infinity]^2)/1792 + (3013*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 - 
     (507*S[-1, Infinity]*S[2, Infinity])/112 - (23937*S[3, Infinity])/3584)*
    S[5, Infinity] + (31049*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-493*S[-1, Infinity]^4)/3360 + 
     (13*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((257*S[-1, Infinity]^5)/6720 - (17*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (2619*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (257*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(71*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (97*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4624*S[-7, -1, Infinity] - 905*S[5, 3, Infinity] - 
     288*S[-5, -1, -1, -1, Infinity] - 832*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[-2, 1, -1, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/1440 - 
   (47*S[-1, Infinity]^4*S[2, Infinity]^2)/240 - 
   (151*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (3*S[2, Infinity]^4)/700 + 
   ((-123*S[-1, Infinity]^2)/256 - (63*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/384 + 
     (5*S[-1, Infinity]*S[2, Infinity])/16 - (31*S[3, Infinity])/512)*
    S[5, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^5/960 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (47*S[-1, Infinity]*S[2, Infinity]^2)/320 + S[-1, 1, 1, 1, 1, Infinity]/
      8) + (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (3*S[-1, Infinity]^2*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
       Infinity]))/2, S[-2, 1, -1, 1, -1, -1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/40320 + (117*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (113161*S[2, Infinity]^4)/392000 + 
   ((-2403*S[-1, Infinity]^2)/1792 - (19361*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/384 + 
     (31463*S[-1, Infinity]*S[2, Infinity])/896 + (42401*S[3, Infinity])/
      7168)*S[5, Infinity] - (267*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((607*S[-1, Infinity]^4)/6720 - 
     (19*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-367*S[-1, Infinity]^5)/6720 + 
     (307*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (36703*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (367*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-169*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-55*S[-5, -1, Infinity] - 63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (2018880*S[-7, -1, Infinity] + 404563*S[5, 3, Infinity] + 
     341760*S[-5, -1, -1, -1, Infinity] + 52480*S[-5, -1, 1, 1, Infinity] - 
     967680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, 1, -1, 1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^8/2240 + 
   (287*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (1854063*S[2, Infinity]^4)/784000 + 
   ((-6987*S[-1, Infinity]^2)/1792 - (23047*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/96 + 
     (28475*S[-1, Infinity]*S[2, Infinity])/896 + (33727*S[3, Infinity])/
      7168)*S[5, Infinity] + (26373*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (319*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((647*S[-1, Infinity]^4)/3360 + 
     (43*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-131*S[-1, Infinity]^5)/6720 + 
     (1475*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (35981*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (131*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/240 - (453*S[-5, -1, Infinity])/
      56 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (2320960*S[-7, -1, Infinity] + 497013*S[5, 3, Infinity] + 
     515840*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
     501760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, 1, -1, -1, 1, 1, 1, Infinity] -> (-169*S[-1, Infinity]^8)/20160 - 
   (3473*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (3477729*S[2, Infinity]^4)/784000 + 
   ((-7969*S[-1, Infinity]^2)/1792 - (16567*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/128 + 
     (28879*S[-1, Infinity]*S[2, Infinity])/896 + (8499*S[3, Infinity])/1792)*
    S[5, Infinity] - (24361*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-927*S[-1, Infinity]^4)/1120 - 
     (9*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/336 + 
     (157*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (10527*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (755*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1063*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-47*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1432000*S[-7, -1, Infinity] + 225923*S[5, 3, Infinity] + 
     171520*S[-5, -1, -1, -1, Infinity] + 88320*S[-5, -1, 1, 1, Infinity] - 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, 1, -1, -1, 1, 1, -1, Infinity] -> (-59*S[-1, Infinity]^8)/10080 - 
   (1363*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (133647*S[2, Infinity]^4)/22400 + ((-653*S[-1, Infinity]^2)/256 - 
     (3949*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/128 + (5079*S[-1, Infinity]*S[2, Infinity])/128 + 
     (6357*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((-209*S[-1, Infinity]^4)/240 - 
     (11*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/960 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (5147*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (181*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/120 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (29*(-7*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   (15136*S[-7, -1, Infinity] + 2621*S[5, 3, Infinity] + 
     1856*S[-5, -1, -1, -1, Infinity] + 1024*S[-5, -1, 1, 1, Infinity] + 
     192*S[-1, 1, 1, 1, Infinity]^2 - 8320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/128, S[-2, 1, -1, -1, 1, -1, 1, Infinity] -> 
  (-641*S[-1, Infinity]^8)/40320 - (821*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1462907*S[2, Infinity]^4)/196000 + 
   ((-2997*S[-1, Infinity]^2)/1792 - (6929*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/128 + 
     (23967*S[-1, Infinity]*S[2, Infinity])/896 + (134233*S[3, Infinity])/
      7168)*S[5, Infinity] - (333*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-1003*S[-1, Infinity]^4)/1680 - 
     (563*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-269*S[-1, Infinity]^5)/1680 + 
     (1055*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (58703*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (971*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((137*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1573*S[-5, -1, Infinity] - 756*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3803840*S[-7, -1, Infinity] + 732227*S[5, 3, Infinity] + 
     426240*S[-5, -1, -1, -1, Infinity] + 398080*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 1863680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, -1, -1, 1, -1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/384 - (4341*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (910503*S[2, Infinity]^4)/196000 + 
   ((-9273*S[-1, Infinity]^2)/1792 - (12297*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (5931*S[-1, Infinity]*S[2, Infinity])/896 + (60141*S[3, Infinity])/7168)*
    S[5, Infinity] - (3783*S[-1, Infinity]*S[7, Infinity])/448 + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-577*S[-1, Infinity]^4)/1120 - 
     (1557*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((523*S[-1, Infinity]^5)/2240 - 
     (243*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (18177*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (531*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (867*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (3*(-649280*S[-7, -1, Infinity] - 105421*S[5, 3, Infinity] - 
      75520*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 + 465920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-2, 1, -1, -1, -1, 1, 1, Infinity] -> 
  (-61*S[-1, Infinity]^8)/5040 - (269*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (229571*S[2, Infinity]^4)/31360 + 
   ((801*S[-1, Infinity]^2)/1792 + (1723*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-249*S[-1, Infinity]*S[2, Infinity])/14 + 
     (31679*S[3, Infinity])/7168)*S[5, Infinity] + 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-411*S[-1, Infinity]^4)/560 - 
     (1739*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/360 - (1581*S[-5, -1, Infinity])/
      56 - (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/42 - 
     (571*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (5393*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (895*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (295488*S[-7, -1, Infinity] + 15745*S[5, 3, Infinity] - 
     22784*S[-5, -1, -1, -1, Infinity] + 85504*S[-5, -1, 1, 1, Infinity] - 
     32256*S[-1, 1, 1, 1, Infinity]^2 - 265216*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, 1, -1, -1, -1, 1, -1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/6720 - (1931*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (4183719*S[2, Infinity]^4)/392000 + 
   ((6667*S[-1, Infinity]^2)/1792 + (12683*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/128 - 
     (12245*S[-1, Infinity]*S[2, Infinity])/448 + (120615*S[3, Infinity])/
      7168)*S[5, Infinity] - (47153*S[-1, Infinity]*S[7, Infinity])/896 + 
   (229*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-569*S[-1, Infinity]^4)/1120 - 
     (779*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-257*S[-1, Infinity]^5)/1344 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (14221*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (1285*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/180 - (1467*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(47*S[-5, 1, 1, Infinity] + 152*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (539200*S[-7, -1, Infinity] - 142623*S[5, 3, Infinity] - 
     413440*S[-5, -1, -1, -1, Infinity] + 458240*S[-5, -1, 1, 1, Infinity] - 
     1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, 1, -1, -1, -1, -1, 1, Infinity] -> (59*S[-1, Infinity]^8)/13440 - 
   (1053*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (3892131*S[2, Infinity]^4)/392000 + 
   ((12321*S[-1, Infinity]^2)/1792 - (15153*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 + 
     (20469*S[-1, Infinity]*S[2, Infinity])/896 + (14373*S[3, Infinity])/448)*
    S[5, Infinity] - (11511*S[-1, Infinity]*S[7, Infinity])/224 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-689*S[-1, Infinity]^4)/1120 + 
     (291*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/28 + 
     (569*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (23091*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2085*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(-214*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(99*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] + 48*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(664000*S[-7, -1, Infinity] + 85313*S[5, 3, Infinity] + 
      15360*S[-5, -1, -1, -1, Infinity] + 105600*S[-5, -1, 1, 1, Infinity] + 
      35840*S[-1, 1, 1, 1, Infinity]^2 - 448000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-2, 1, -1, -1, -1, -1, -1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/13440 - (2241*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (4334961*S[2, Infinity]^4)/784000 + 
   ((1779*S[-1, Infinity]^2)/1792 - (8691*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((12195*S[-1, Infinity]*S[2, Infinity])/896 + 
     (7299*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/112 - 
     (57*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-381*S[-1, Infinity]^5)/2240 - (277*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (2859*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1353*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/96 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(-73*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(43*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*(546880*S[-7, -1, Infinity] + 61739*S[5, 3, Infinity] + 
      32000*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-2, -1, 1, 1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/13440 - (61*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (620993*S[2, Infinity]^4)/784000 + 
   ((-45*S[-1, Infinity]^2)/448 - (457*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((15*S[-1, Infinity]*S[2, Infinity])/7 + 
     (5655*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((149*S[-1, Infinity]^4)/6720 - 
     (211*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/112 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     (-235*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (261760*S[-7, -1, Infinity] + 35351*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, -1, 1, 1, 1, 1, -1, Infinity] -> (101*S[-1, Infinity]^8)/40320 - 
   (81*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (540489*S[2, Infinity]^4)/
    784000 + ((533*S[-1, Infinity]^2)/896 - (627*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((473*S[-1, Infinity]*S[2, Infinity])/224 - 
     (2671*S[3, Infinity])/1792)*S[5, Infinity] + 
   (1389*S[-1, Infinity]*S[7, Infinity])/512 - 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/2240 + 
     (111*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-153*S[-1, Infinity]^5)/2240 + 
     (127*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (7027*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (107*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/360 - (291*S[-5, -1, Infinity])/
      56 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      2*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (158880*S[-7, -1, Infinity] + 13451*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 18240*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-2, -1, 1, 1, 1, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/20160 + (29*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (1361351*S[2, Infinity]^4)/784000 + 
   ((445*S[-1, Infinity]^2)/448 + (55*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/64 + (1933*S[-1, Infinity]*S[2, Infinity])/448 - 
     (27253*S[3, Infinity])/7168)*S[5, Infinity] - 
   (401*S[-1, Infinity]*S[7, Infinity])/512 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((407*S[-1, Infinity]^4)/3360 + 
     (71*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-599*S[-1, Infinity]^5)/6720 - (5*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (4639*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-69*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (157*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity] - 
      6*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-200000*S[-7, -1, Infinity] - 29489*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] - 43520*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, 1, 1, 1, -1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/20160 + (1707*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (21037*S[2, Infinity]^4)/22400 + 
   ((-47*S[-1, Infinity]^2)/128 - (401*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((15*S[-1, Infinity]*S[2, Infinity])/4 + 
     (7855*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/80 - (3*S[-1, 1, 1, 1, Infinity])/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*(S[-1, Infinity]^5/48 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (65*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    (S[-1, Infinity]^6/15 - (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      4 + (5*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   (-8000*S[-7, -1, Infinity] + 1207*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     1024*S[-1, 1, 1, 1, Infinity]^2 + 20480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-2, -1, 1, 1, -1, 1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/40320 + (2201*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1322841*S[2, Infinity]^4)/392000 + 
   ((-1479*S[-1, Infinity]^2)/448 - (2579*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/384 + 
     (15609*S[-1, Infinity]*S[2, Infinity])/896 + (58615*S[3, Infinity])/
      7168)*S[5, Infinity] + (60447*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/2240 + 
     (39*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((337*S[-1, Infinity]^5)/6720 + 
     (559*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (13007*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(-151*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-27*S[-5, 1, 1, Infinity] - 34*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (411200*S[-7, -1, Infinity] + 206727*S[5, 3, Infinity] + 
     244480*S[-5, -1, -1, -1, Infinity] - 47360*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, 1, 1, -1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/40320 + (2321*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (516367*S[2, Infinity]^4)/784000 + 
   ((-1959*S[-1, Infinity]^2)/896 - (17403*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 + 
     (12853*S[-1, Infinity]*S[2, Infinity])/448 + (144247*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-127*S[-1, Infinity]^4)/1344 - (51*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/1680 + 
     (823*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (22573*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-23*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-223*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (781120*S[-7, -1, Infinity] + 279127*S[5, 3, Infinity] + 
     267520*S[-5, -1, -1, -1, Infinity] + 19200*S[-5, -1, 1, 1, Infinity] + 
     537600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, 1, 1, -1, -1, 1, Infinity] -> (83*S[-1, Infinity]^8)/20160 + 
   (537*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (6211*S[2, Infinity]^4)/6125 + ((-279*S[-1, Infinity]^2)/448 - 
     (4677*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/192 + (9725*S[-1, Infinity]*S[2, Infinity])/448 + 
     (6285*S[3, Infinity])/1792)*S[5, Infinity] - 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/56 + 
     (159*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/672 + 
     (617*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (823*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (235*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-121*S[-5, -1, Infinity] - 126*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (369280*S[-7, -1, Infinity] + 36023*S[5, 3, Infinity] + 
     39680*S[-5, -1, -1, -1, Infinity] + 36480*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-2, -1, 1, 1, -1, -1, -1, Infinity] -> 
  (71*S[-1, Infinity]^8)/20160 + (2931*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (320717*S[2, Infinity]^4)/784000 + 
   ((-85*S[-1, Infinity]^2)/112 - (3159*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/384 + 
     (15881*S[-1, Infinity]*S[2, Infinity])/896 + (67899*S[3, Infinity])/
      3584)*S[5, Infinity] + (44445*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-517*S[-1, Infinity]^4)/3360 + 
     (61*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/1344 + 
     (1019*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (17179*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (415*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (1075*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 62*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (958400*S[-7, -1, Infinity] + 167231*S[5, 3, Infinity] + 
     102400*S[-5, -1, -1, -1, Infinity] + 117120*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2 + 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, -1, 1, -1, 1, 1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/40320 - (205*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (762553*S[2, Infinity]^4)/196000 + 
   ((61*S[-1, Infinity]^2)/112 - (715*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/64 - (9*S[-1, Infinity]*S[2, Infinity])/448 + 
     (48023*S[3, Infinity])/7168)*S[5, Infinity] - 
   (111873*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2299*S[-1, Infinity]^4)/6720 - 
     (39*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-8*S[-1, Infinity]^5)/105 + 
     (S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (16923*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (64*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/480 + 
     (-375*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(27*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 65*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (946240*S[-7, -1, Infinity] + 105893*S[5, 3, Infinity] - 
     47360*S[-5, -1, -1, -1, Infinity] + 199680*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 896000*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, 1, -1, 1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/20160 + (9*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (992379*S[2, Infinity]^4)/392000 + 
   ((-221*S[-1, Infinity]^2)/896 - (5311*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 + 
     (12585*S[-1, Infinity]*S[2, Infinity])/896 + (60593*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-2227*S[-1, Infinity]^4)/6720 - (39*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-4*S[-1, Infinity]^5)/35 + 
     (39*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (35337*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/720 + 
     (-1069*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-79*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2159680*S[-7, -1, Infinity] + 315167*S[5, 3, Infinity] + 
     211200*S[-5, -1, -1, -1, Infinity] + 227840*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, 1, -1, 1, -1, 1, Infinity] -> 
  (-9*S[-1, Infinity]^8)/4480 - (89*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (22039*S[2, Infinity]^4)/784000 + ((-153*S[-1, Infinity]^2)/448 - 
     (3775*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/32 + (9069*S[-1, Infinity]*S[2, Infinity])/896 - 
     (6463*S[3, Infinity])/3584)*S[5, Infinity] - 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-199*S[-1, Infinity]^4)/6720 - 
     (19*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-239*S[-1, Infinity]^5)/6720 + 
     (211*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6879*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (137*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 - (43*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (172160*S[-7, -1, Infinity] + 14981*S[5, 3, Infinity] + 
     21760*S[-5, -1, -1, -1, Infinity] - 1600*S[-5, -1, 1, 1, Infinity] - 
     152320*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-2, -1, 1, -1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (303*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (47939*S[2, Infinity]^4)/392000 + 
   ((-39*S[-1, Infinity]^2)/64 + (2827*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (327*S[-1, Infinity]*S[2, Infinity])/32 - (59763*S[3, Infinity])/3584)*
    S[5, Infinity] - (63699*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((-199*S[-1, Infinity]^4)/3360 + 
     (223*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((151*S[-1, Infinity]^5)/2240 - 
     (251*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (911*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (209*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + (321*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-36200*S[-7, -1, Infinity] - 8181*S[5, 3, Infinity] - 
     6880*S[-5, -1, -1, -1, Infinity] - 3760*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-2, -1, 1, -1, -1, 1, 1, Infinity] -> (-23*S[-1, Infinity]^8)/6720 - 
   (153*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (277969*S[2, Infinity]^4)/156800 + 
   ((-99*S[-1, Infinity]^2)/896 + (4579*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]*S[2, Infinity])/14 - 
     (9355*S[3, Infinity])/1792)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/210 - 
     (691*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/1344 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2757*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((91*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-17*S[-5, -1, Infinity] + 756*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-12736*S[-7, -1, Infinity] - 523*S[5, 3, Infinity] + 
     1408*S[-5, -1, -1, -1, Infinity] - 4096*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2 - 3584*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-2, -1, 1, -1, -1, 1, -1, Infinity] -> 
  (-139*S[-1, Infinity]^8)/40320 - (1849*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (94971*S[2, Infinity]^4)/56000 + 
   ((-191*S[-1, Infinity]^2)/224 + (195*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/128 - 
     (2011*S[-1, Infinity]*S[2, Infinity])/112 - (465*S[3, Infinity])/32)*
    S[5, Infinity] - (106923*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/160 - (9*S[-1, 1, 1, 1, Infinity])/
      8) + (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/960 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (787*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     9*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/24 + (21*S[-5, -1, Infinity])/2 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(14880*S[-7, -1, Infinity] + 3081*S[5, 3, Infinity] + 
      2560*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
      1280*S[-1, 1, 1, 1, Infinity]^2 + 3840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1280, S[-2, -1, 1, -1, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/20160 - (3809*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (3533249*S[2, Infinity]^4)/392000 + 
   ((4527*S[-1, Infinity]^2)/896 + (583*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 - 
     (1101*S[-1, Infinity]*S[2, Infinity])/56 + (139407*S[3, Infinity])/7168)*
    S[5, Infinity] - (226497*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-1541*S[-1, Infinity]^4)/3360 - 
     (537*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/28 - 
     (277*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5507*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (565*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/180 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-519*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(31*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1288640*S[-7, -1, Infinity] + 77187*S[5, 3, Infinity] - 
     231680*S[-5, -1, -1, -1, Infinity] + 428800*S[-5, -1, 1, 1, Infinity] - 
     1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, 1, -1, -1, -1, -1, Infinity] -> (11*S[-1, Infinity]^8)/40320 - 
   (3639*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (485253*S[2, Infinity]^4)/196000 + 
   ((111*S[-1, Infinity]^2)/56 + (6539*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3189*S[-1, Infinity]*S[2, Infinity])/112 - 
     (61365*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((-235*S[-1, Infinity]^4)/448 - 
     (367*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-39*S[-1, Infinity]^5)/560 - 
     (373*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (2957*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (199*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((91*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(183*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(83*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (585920*S[-7, -1, Infinity] - 64257*S[5, 3, Infinity] - 
     131840*S[-5, -1, -1, -1, Infinity] + 194560*S[-5, -1, 1, 1, Infinity] - 
     896000*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, -1, 1, 1, 1, 1, Infinity] -> (109*S[-1, Infinity]^8)/20160 + 
   (1023*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (290523*S[2, Infinity]^4)/196000 + 
   ((4367*S[-1, Infinity]^2)/1792 + (9195*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/128 - 
     (15037*S[-1, Infinity]*S[2, Infinity])/896 - (12403*S[3, Infinity])/
      7168)*S[5, Infinity] + (6945*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((803*S[-1, Infinity]^4)/1680 + 
     (31*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/3360 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (18829*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (113*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (88*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(17*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-1339200*S[-7, -1, Infinity] - 218653*S[5, 3, Infinity] - 
     200960*S[-5, -1, -1, -1, Infinity] - 32000*S[-5, -1, 1, 1, Infinity] + 
     1003520*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, -1, 1, 1, 1, -1, Infinity] -> (11*S[-1, Infinity]^8)/4032 + 
   (1439*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (129057*S[2, Infinity]^4)/78400 + ((1315*S[-1, Infinity]^2)/1792 + 
     (8131*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/128 - (15639*S[-1, Infinity]*S[2, Infinity])/
      896 + (14701*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((283*S[-1, Infinity]^4)/420 - 
     (39*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((97*S[-1, Infinity]^5)/1344 - (191*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (4645*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (169*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^2*(59*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-109*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (127*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-264256*S[-7, -1, Infinity] - 44425*S[5, 3, Infinity] - 
     33024*S[-5, -1, -1, -1, Infinity] - 9984*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 164864*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, -1, -1, 1, 1, -1, 1, Infinity] -> 
  (9*S[-1, Infinity]^8)/896 + (S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (2986603*S[2, Infinity]^4)/784000 + 
   ((381*S[-1, Infinity]^2)/1792 + (18111*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/128 - 
     (23895*S[-1, Infinity]*S[2, Infinity])/896 - (21395*S[3, Infinity])/
      7168)*S[5, Infinity] + (271*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((583*S[-1, Infinity]^4)/1344 + 
     (233*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((283*S[-1, Infinity]^5)/1344 - 
     (529*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (40463*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (107*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (473*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2608320*S[-7, -1, Infinity] - 525767*S[5, 3, Infinity] - 
     346880*S[-5, -1, -1, -1, Infinity] - 226560*S[-5, -1, 1, 1, Infinity] + 
     89600*S[-1, 1, 1, 1, Infinity]^2 + 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, -1, 1, 1, -1, -1, Infinity] -> 
  (521*S[-1, Infinity]^8)/40320 + (701*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (72059*S[2, Infinity]^4)/15680 + 
   ((7953*S[-1, Infinity]^2)/1792 + (23685*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 - 
     (18199*S[-1, Infinity]*S[2, Infinity])/896 - (106581*S[3, Infinity])/
      7168)*S[5, Infinity] - (62743*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (165*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((1273*S[-1, Infinity]^4)/6720 + 
     (1177*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-107*S[-1, Infinity]^5)/1120 - 
     (115*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (37871*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/288 + (1059*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(87*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-581440*S[-7, -1, Infinity] - 111149*S[5, 3, Infinity] - 
     86784*S[-5, -1, -1, -1, Infinity] - 36864*S[-5, -1, 1, 1, Infinity] + 
     28672*S[-1, 1, 1, 1, Infinity]^2 + 351232*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, -1, -1, 1, -1, 1, 1, Infinity] -> 
  (257*S[-1, Infinity]^8)/20160 + (S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (792153*S[2, Infinity]^4)/156800 + 
   ((-165*S[-1, Infinity]^2)/1792 + (5245*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4833*S[-1, Infinity]*S[2, Infinity])/896 - 
     (98885*S[3, Infinity])/7168)*S[5, Infinity] - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((901*S[-1, Infinity]^4)/3360 + 
     (73*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    (-S[-1, Infinity]^5/336 - (43*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (9041*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (71*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-121*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (827*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-152512*S[-7, -1, Infinity] - 19115*S[5, 3, Infinity] + 
     13056*S[-5, -1, -1, -1, Infinity] - 57856*S[-5, -1, 1, 1, Infinity] + 
     32256*S[-1, 1, 1, 1, Infinity]^2 + 78848*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, -1, -1, 1, -1, 1, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/2240 - (853*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (3623247*S[2, Infinity]^4)/784000 + 
   ((-2339*S[-1, Infinity]^2)/1792 - (2815*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 + 
     (15595*S[-1, Infinity]*S[2, Infinity])/896 - (144279*S[3, Infinity])/
      7168)*S[5, Infinity] + (122195*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-261*S[-1, Infinity]^4)/1120 + 
     (47*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((857*S[-1, Infinity]^5)/6720 - (115*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (7993*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (355*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 + (843*S[-5, -1, Infinity])/56 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-22*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-173120*S[-7, -1, Infinity] + 12147*S[5, 3, Infinity] + 
     124160*S[-5, -1, -1, -1, Infinity] - 240640*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, -1, 1, -1, -1, 1, Infinity] -> (43*S[-1, Infinity]^8)/13440 + 
   (393*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (505227*S[2, Infinity]^4)/392000 + 
   ((-4665*S[-1, Infinity]^2)/1792 - (19245*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (11559*S[-1, Infinity]*S[2, Infinity])/448 + (56493*S[3, Infinity])/
      7168)*S[5, Infinity] + (16443*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-617*S[-1, Infinity]^4)/2240 - 
     (249*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-117*S[-1, Infinity]^5)/2240 + 
     (89*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (5721*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/480 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(-173*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(53*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3*(658880*S[-7, -1, Infinity] + 131907*S[5, 3, Infinity] + 
      103680*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
      322560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/35840, 
 S[-2, -1, -1, 1, -1, -1, -1, Infinity] -> (151*S[-1, Infinity]^8)/13440 + 
   (1737*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1549851*S[2, Infinity]^4)/784000 + 
   ((1839*S[-1, Infinity]^2)/1792 - (10821*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((801*S[-1, Infinity]*S[2, Infinity])/28 - 
     (1125*S[3, Infinity])/7168)*S[5, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((389*S[-1, Infinity]^4)/2240 + 
     (87*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-53*S[-1, Infinity]^5)/140 + (16*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (43521*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (69*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/96 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(58*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(117*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*(614720*S[-7, -1, Infinity] + 106677*S[5, 3, Infinity] + 
      113920*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-2, -1, -1, -1, 1, 1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/6720 + (919*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (191333*S[2, Infinity]^4)/196000 + 
   ((-99*S[-1, Infinity]^2)/224 - (1945*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((108*S[-1, Infinity]*S[2, Infinity])/7 + 
     (1227*S[3, Infinity])/224)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/336 + 
     (78*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/280 + (11*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (2199*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (165*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(227*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (-8240*S[-7, -1, Infinity] + 8067*S[5, 3, Infinity] + 
     7040*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2 + 58240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[-2, -1, -1, -1, 1, 1, -1, Infinity] -> 
  (113*S[-1, Infinity]^8)/40320 + (2339*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (556221*S[2, Infinity]^4)/78400 + 
   ((-737*S[-1, Infinity]^2)/896 - (7729*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 + 
     (29123*S[-1, Infinity]*S[2, Infinity])/896 - (23179*S[3, Infinity])/
      3584)*S[5, Infinity] + (46139*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (169*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-193*S[-1, Infinity]^4)/1120 + 
     (16*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/672 + (29*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (15969*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (199*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + (157*S[-5, -1, Infinity])/
      28 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (105600*S[-7, -1, Infinity] + 30435*S[5, 3, Infinity] + 
     39168*S[-5, -1, -1, -1, Infinity] - 15872*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2 + 68096*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-2, -1, -1, -1, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/1680 + (3043*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (152489*S[2, Infinity]^4)/14000 + ((-605*S[-1, Infinity]^2)/112 - 
     (155*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/32 + (39957*S[-1, Infinity]*S[2, Infinity])/896 - 
     (5019*S[3, Infinity])/256)*S[5, Infinity] + 
   (22515*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((173*S[-1, Infinity]^4)/240 + 
     (19*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((143*S[-1, Infinity]^5)/960 + (91*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (205*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-493*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/480 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (141*S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (3*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (19840*S[-7, -1, Infinity] + 8673*S[5, 3, Infinity] + 
     20480*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[-2, -1, -1, -1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/2688 + 
   (5401*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (98311*S[2, Infinity]^4)/24500 + ((-293*S[-1, Infinity]^2)/112 - 
     (7683*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((3873*S[-1, Infinity]*S[2, Infinity])/112 + (43833*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((2187*S[-1, Infinity]^4)/2240 + 
     (251*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((941*S[-1, Infinity]^5)/6720 + 
     (1159*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2437*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (397*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-91*S[-1, Infinity]^6)/1440 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (747*S[-5, -1, Infinity] - 266*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-265*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-560320*S[-7, -1, Infinity] + 48021*S[5, 3, Infinity] + 
     102400*S[-5, -1, -1, -1, Infinity] - 160640*S[-5, -1, 1, 1, Infinity] + 
     770560*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, -1, -1, -1, -1, 1, 1, Infinity] -> (-27*S[-1, Infinity]^8)/4480 + 
   (1749*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3520949*S[2, Infinity]^4)/392000 + 
   ((-2711*S[-1, Infinity]^2)/896 + (10205*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/64 - 
     (30587*S[-1, Infinity]*S[2, Infinity])/896 - (21865*S[3, Infinity])/896)*
    S[5, Infinity] + (135993*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((2953*S[-1, Infinity]^4)/2240 - 
     (149*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((2033*S[-1, Infinity]^5)/3360 - 
     (313*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (47213*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (857*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   (S[-1, Infinity]^2*(187*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-163*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1207*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 110*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1140480*S[-7, -1, Infinity] - 157723*S[5, 3, Infinity] - 
     63360*S[-5, -1, -1, -1, Infinity] - 140480*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 743680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-2, -1, -1, -1, -1, 1, -1, Infinity] -> 
  (-41*S[-1, Infinity]^8)/6720 + (597*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1303629*S[2, Infinity]^4)/392000 + 
   ((-1377*S[-1, Infinity]^2)/896 + (5925*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 - 
     (20949*S[-1, Infinity]*S[2, Infinity])/448 - (2937*S[3, Infinity])/896)*
    S[5, Infinity] + S[2, Infinity]^2*((3037*S[-1, Infinity]^4)/2240 - 
     (177*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((687*S[-1, Infinity]^5)/1120 - 
     (169*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (10527*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (885*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-9*S[-1, Infinity]^6)/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-849*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(143*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*(473120*S[-7, -1, Infinity] + 63891*S[5, 3, Infinity] + 
      48000*S[-5, -1, -1, -1, Infinity] + 43840*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 232960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[-2, -1, -1, -1, -1, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/4480 + (107*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (192641*S[2, Infinity]^4)/78400 + 
   ((57*S[-1, Infinity]^2)/56 + (4287*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/128 - (24825*S[-1, Infinity]*S[2, Infinity])/896 - 
     (16529*S[3, Infinity])/3584)*S[5, Infinity] + 
   (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((601*S[-1, Infinity]^4)/2240 + 
     (159*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((359*S[-1, Infinity]^5)/2240 - 
     (163*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (23697*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (465*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 + (1063*S[-5, -1, Infinity])/
      56 - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (-284608*S[-7, -1, Infinity] - 47615*S[5, 3, Infinity] - 
     34304*S[-5, -1, -1, -1, Infinity] - 20352*S[-5, -1, 1, 1, Infinity] + 
     182784*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-2, -1, -1, -1, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/315 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (36093*S[2, Infinity]^4)/
    7000 + ((417*S[-1, Infinity]^2)/448 + (557*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (11031*S[-1, Infinity]*S[2, Infinity])/448 - (1347*S[3, Infinity])/256)*
    S[5, Infinity] + (20985*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (109*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((4*S[-1, Infinity]^4)/15 + (8*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*((143*S[-1, Infinity]^5)/960 - 
     (53*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (4217*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/360 + 24*S[-5, -1, Infinity] - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-7040*S[-7, -1, Infinity] - 993*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] + 
     5120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/80, 
 S[3, 1, 1, 1, 1, 1, Infinity] -> (-454*S[2, Infinity]^4)/875 + 
   4*S[3, Infinity]*S[5, Infinity] + (2*S[5, 3, Infinity])/5, 
 S[3, 1, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/5040 + 
   (333*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (555109*S[2, Infinity]^4)/784000 + 
   ((325*S[-1, Infinity]^2)/448 + (121*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (295*S[-1, Infinity]*S[2, Infinity])/448 + (11061*S[3, Infinity])/3584)*
    S[5, Infinity] + (379*S[-1, Infinity]*S[7, Infinity])/256 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/6720 - 
     (41*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-41*S[-1, Infinity]^5)/1680 + (83*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (2223*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (-185*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (60800*S[-7, -1, Infinity] - 43*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 26240*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[3, 1, 1, 1, -1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/4032 - 
   (657*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1257469*S[2, Infinity]^4)/784000 + 
   ((465*S[-1, Infinity]^2)/256 - (5017*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 + 
     (1155*S[-1, Infinity]*S[2, Infinity])/128 + (4967*S[3, Infinity])/7168)*
    S[5, Infinity] - (5357*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/3360 - 
     (187*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-177*S[-1, Infinity]^5)/2240 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (3247*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (531*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 + 
     (-159*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1374400*S[-7, -1, Infinity] + 150811*S[5, 3, Infinity] + 
     83200*S[-5, -1, -1, -1, Infinity] + 149760*S[-5, -1, 1, 1, Infinity] - 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[3, 1, 1, 1, -1, -1, Infinity] -> (-23*S[-1, Infinity]^8)/20160 - 
   (1223*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (181571*S[2, Infinity]^4)/784000 + 
   ((-443*S[-1, Infinity]^2)/1792 + (197*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-81*S[-1, Infinity]*S[2, Infinity])/28 - 
     (22755*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((25*S[-1, Infinity]^4)/672 - 
     (41*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((151*S[-1, Infinity]^5)/6720 - (655*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (7789*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (151*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (2*(-9*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(27*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-131520*S[-7, -1, Infinity] - 16711*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] - 37120*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[3, 1, 1, -1, 1, 1, Infinity] -> (29*S[-1, Infinity]^8)/40320 + 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (1891901*S[2, Infinity]^4)/
    784000 + ((-4383*S[-1, Infinity]^2)/1792 - (5703*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-713*S[-1, Infinity]^3)/192 - 
     (253*S[-1, Infinity]*S[2, Infinity])/112 - (15655*S[3, Infinity])/7168)*
    S[5, Infinity] + (260775*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((183*S[-1, Infinity]^4)/2240 - 
     (37*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((181*S[-1, Infinity]^5)/1120 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (12949*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (351*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (295*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-59200*S[-7, -1, Infinity] + 94041*S[5, 3, Infinity] + 
     136960*S[-5, -1, -1, -1, Infinity] - 101120*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[3, 1, 1, -1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/2520 + (83*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (1565721*S[2, Infinity]^4)/784000 + 
   ((-661*S[-1, Infinity]^2)/1792 + (11443*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 - 
     (8755*S[-1, Infinity]*S[2, Infinity])/448 - (19905*S[3, Infinity])/7168)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/448 + 
     (93*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((137*S[-1, Infinity]^5)/1344 - (685*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (8195*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (685*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(113*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (923*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-2297280*S[-7, -1, Infinity] - 331089*S[5, 3, Infinity] - 
     244480*S[-5, -1, -1, -1, Infinity] - 203520*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[3, 1, 1, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/5760 + (831*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (134847*S[2, Infinity]^4)/196000 + 
   ((-225*S[-1, Infinity]^2)/448 - (1487*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 + 
     (5017*S[-1, Infinity]*S[2, Infinity])/448 + (6819*S[3, Infinity])/1792)*
    S[5, Infinity] - (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-517*S[-1, Infinity]^4)/2240 + 
     (39*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (324000*S[-7, -1, Infinity] + 38163*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 39680*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/1680 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3361*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-367*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[3, 1, 1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^8/2016 + 
   (1117*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2020987*S[2, Infinity]^4)/784000 + 
   ((-1251*S[-1, Infinity]^2)/448 - (3791*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]^3)/384 + 
     (13763*S[-1, Infinity]*S[2, Infinity])/896 + (22979*S[3, Infinity])/
      3584)*S[5, Infinity] + (193707*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-523*S[-1, Infinity]^4)/3360 - 
     (151*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((209*S[-1, Infinity]^5)/6720 + 
     (187*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (5297*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-827*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-36*S[-5, 1, 1, Infinity] - 99*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (906560*S[-7, -1, Infinity] + 185551*S[5, 3, Infinity] + 
     151040*S[-5, -1, -1, -1, Infinity] + 68480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[3, 1, -1, 1, 1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/1008 - (361*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (460067*S[2, Infinity]^4)/784000 + 
   ((251*S[-1, Infinity]^2)/1792 + (10357*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/384 - 
     (13469*S[-1, Infinity]*S[2, Infinity])/896 - (21649*S[3, Infinity])/
      1792)*S[5, Infinity] - (3683*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-893*S[-1, Infinity]^4)/3360 + 
     (81*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((139*S[-1, Infinity]^5)/1344 - 
     (499*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2309*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (205*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(131*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (99*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-354880*S[-7, -1, Infinity] - 99481*S[5, 3, Infinity] - 
     87040*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[3, 1, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/320 - 
   (873*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (117921*S[2, Infinity]^4)/784000 + 
   ((181*S[-1, Infinity]^2)/1792 + (3063*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/384 - 
     (2255*S[-1, Infinity]*S[2, Infinity])/896 - (33561*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-851*S[-1, Infinity]^4)/3360 + 
     (277*S[-1, 1, 1, 1, Infinity])/140) + 
   (-64800*S[-7, -1, Infinity] - 11141*S[5, 3, Infinity] - 
     5280*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((55*S[-1, Infinity]^5)/1344 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1283*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (275*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*(101*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(89*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[3, 1, -1, 1, -1, 1, Infinity] -> (-3*S[-1, Infinity]^8)/280 - 
   (59*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (10401*S[2, Infinity]^4)/3136 + ((-1755*S[-1, Infinity]^2)/1792 - 
     (17809*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/384 + (19805*S[-1, Infinity]*S[2, Infinity])/
      896 + (63859*S[3, Infinity])/7168)*S[5, Infinity] - 
   (195*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-179*S[-1, Infinity]^4)/672 - 
     (73*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-101*S[-1, Infinity]^5)/1120 + 
     (155*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (6833*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (67*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-109*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (476096*S[-7, -1, Infinity] + 76159*S[5, 3, Infinity] + 
     49920*S[-5, -1, -1, -1, Infinity] + 50432*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[3, 1, -1, 1, -1, -1, Infinity] -> 
  (-247*S[-1, Infinity]^8)/20160 - (161*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 - (172119*S[2, Infinity]^4)/98000 + 
   ((-5729*S[-1, Infinity]^2)/1792 - (943*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 + 
     (4757*S[-1, Infinity]*S[2, Infinity])/896 + (16881*S[3, Infinity])/7168)*
    S[5, Infinity] + (26613*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-1369*S[-1, Infinity]^4)/6720 - 
     (523*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((55*S[-1, Infinity]^5)/336 - 
     (159*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (10531*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((61*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-671*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-58*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1446080*S[-7, -1, Infinity] + 225193*S[5, 3, Infinity] + 
     154880*S[-5, -1, -1, -1, Infinity] + 122880*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2 - 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[3, 1, -1, -1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/112 - (439*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1436539*S[2, Infinity]^4)/784000 + 
   ((1737*S[-1, Infinity]^2)/1792 + (15613*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-579*S[-1, Infinity]*S[2, Infinity])/28 - 
     (50499*S[3, Infinity])/7168)*S[5, Infinity] + 
   (193*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((809*S[-1, Infinity]^4)/3360 - 
     (5*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((95*S[-1, Infinity]^5)/672 - 
     (775*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (35757*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (115*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/18 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (2*(-83*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (-2630080*S[-7, -1, Infinity] - 346471*S[5, 3, Infinity] - 
     247040*S[-5, -1, -1, -1, Infinity] - 290560*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[3, 1, -1, -1, 1, -1, Infinity] -> 
  (-457*S[-1, Infinity]^8)/40320 - (977*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (14313*S[2, Infinity]^4)/19600 + 
   ((-5569*S[-1, Infinity]^2)/1792 + (25891*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (34773*S[-1, Infinity]*S[2, Infinity])/896 - (157511*S[3, Infinity])/
      7168)*S[5, Infinity] - (19577*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (579*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/21 - 
     (697*S[-1, 1, 1, 1, Infinity])/280) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((3233*S[-1, Infinity]^5)/6720 - 
     (2351*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (75253*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (257*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/480 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1277*S[-5, -1, Infinity] - 126*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-55*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-902080*S[-7, -1, Infinity] - 145427*S[5, 3, Infinity] - 
     91904*S[-5, -1, -1, -1, Infinity] - 107008*S[-5, -1, 1, 1, Infinity] - 
     32256*S[-1, 1, 1, 1, Infinity]^2 + 129024*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[3, 1, -1, -1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/4032 - (443*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (1565633*S[2, Infinity]^4)/784000 + 
   ((8451*S[-1, Infinity]^2)/1792 + (92*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((279*S[-1, Infinity]^3)/128 - (25877*S[-1, Infinity]*S[2, Infinity])/
      896 - (18577*S[3, Infinity])/896)*S[5, Infinity] - 
   (32777*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((1333*S[-1, Infinity]^4)/3360 + 
     (207*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + (291*S[-5, -1, Infinity])/14 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/1120 - 
     (79*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (367*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (373*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(351*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] + 106*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-324480*S[-7, -1, Infinity] - 74621*S[5, 3, Infinity] - 
     59840*S[-5, -1, -1, -1, Infinity] - 25280*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[3, 1, -1, -1, -1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/640 - (37*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (471827*S[2, Infinity]^4)/392000 + 
   ((3733*S[-1, Infinity]^2)/1792 + (22189*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-13761*S[-1, Infinity]*S[2, Infinity])/448 - 
     (28667*S[3, Infinity])/896)*S[5, Infinity] + 
   S[2, Infinity]^2*((759*S[-1, Infinity]^4)/2240 + 
     (89*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-620640*S[-7, -1, Infinity] - 122489*S[5, 3, Infinity] - 
     74240*S[-5, -1, -1, -1, Infinity] - 73600*S[-5, -1, 1, 1, Infinity] - 
     31360*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/448 - 
     (1123*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2927*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (955*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(295*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1361*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[3, -1, 1, 1, 1, 1, Infinity] -> (173*S[-1, Infinity]^8)/40320 + 
   (227*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (16547*S[2, Infinity]^4)/78400 + ((3469*S[-1, Infinity]^2)/1792 + 
     (467*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((341*S[-1, Infinity]^3)/192 + (793*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1217*S[3, Infinity])/1792)*S[5, Infinity] - 
   (1433*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((157*S[-1, Infinity]^4)/1120 + 
     (241*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (5472*S[-7, -1, Infinity] + 615*S[5, 3, Infinity] - 
     256*S[-5, -1, -1, -1, Infinity] + 1376*S[-5, -1, 1, 1, Infinity] + 
     672*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-683*S[-1, Infinity]^5)/3360 + 
     (73*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (419*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (239*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/144 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-207*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-55*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2, 
 S[3, -1, 1, 1, 1, -1, Infinity] -> (-17*S[-1, Infinity]^8)/10080 + 
   (83*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (27221*S[2, Infinity]^4)/
    49000 + ((-1641*S[-1, Infinity]^2)/1792 - (4727*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 + 
     (835*S[-1, Infinity]*S[2, Infinity])/448 + (31463*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((101*S[-1, Infinity]^4)/336 - 
     (361*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((25*S[-1, Infinity]^5)/1344 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (253*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/1440 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-15*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (55360*S[-7, -1, Infinity] + 34953*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[3, -1, 1, 1, -1, 1, Infinity] -> 
  (361*S[-1, Infinity]^8)/40320 + (99*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 - (27353*S[2, Infinity]^4)/49000 + 
   ((-2659*S[-1, Infinity]^2)/1792 - (11673*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 + 
     (1075*S[-1, Infinity]*S[2, Infinity])/56 + (158129*S[3, Infinity])/7168)*
    S[5, Infinity] - (143*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-457*S[-1, Infinity]^4)/2240 + 
     (47*S[-1, 1, 1, 1, Infinity])/70) - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-239*S[-1, Infinity]^5)/3360 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (7641*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (142*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-463*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (1849920*S[-7, -1, Infinity] + 240717*S[5, 3, Infinity] + 
     183040*S[-5, -1, -1, -1, Infinity] + 157440*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[3, -1, 1, 1, -1, -1, Infinity] -> 
  (79*S[-1, Infinity]^8)/6720 + (817*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (2507*S[2, Infinity]^4)/7000 + 
   ((2131*S[-1, Infinity]^2)/1792 - (119*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/384 + 
     (16719*S[-1, Infinity]*S[2, Infinity])/896 + (1177*S[3, Infinity])/1024)*
    S[5, Infinity] - (21705*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-69*S[-1, Infinity]^4)/160 + 
     (7*S[-1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-239*S[-1, Infinity]^5)/960 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (24371*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     11*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/48 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-59*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] + 78*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (140480*S[-7, -1, Infinity] + 12917*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 17920*S[-5, -1, 1, 1, Infinity] + 
     30720*S[-1, 1, 1, 1, Infinity]^2 - 51200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[3, -1, 1, -1, 1, 1, Infinity] -> 
  (41*S[-1, Infinity]^8)/5040 + (67*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (318253*S[2, Infinity]^4)/56000 + 
   ((127*S[-1, Infinity]^2)/256 + (2019*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-33*S[-1, Infinity]*S[2, Infinity])/4 - 
     (15719*S[3, Infinity])/1024)*S[5, Infinity] + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((319*S[-1, Infinity]^4)/960 + 
     (93*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    (S[-1, Infinity]^5/16 - (49*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (2283*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (97*S[-5, -1, Infinity] + 
       36*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-316480*S[-7, -1, Infinity] - 45859*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] - 57600*S[-5, -1, 1, 1, Infinity] + 
     15360*S[-1, 1, 1, 1, Infinity]^2 + 112640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[3, -1, 1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/320 - (1637*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (892777*S[2, Infinity]^4)/196000 + 
   ((-1349*S[-1, Infinity]^2)/1792 + (23773*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (18373*S[-1, Infinity]*S[2, Infinity])/896 - (277933*S[3, Infinity])/
      7168)*S[5, Infinity] - (13073*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (449*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((181*S[-1, Infinity]^4)/3360 + 
     (207*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((283*S[-1, Infinity]^5)/1120 - (283*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (71073*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (200*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/360 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2559*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-57*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4020160*S[-7, -1, Infinity] - 693177*S[5, 3, Infinity] - 
     428800*S[-5, -1, -1, -1, Infinity] - 529920*S[-5, -1, 1, 1, Infinity] + 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[3, -1, 1, -1, -1, 1, Infinity] -> (-53*S[-1, Infinity]^8)/10080 - 
   (1241*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (830607*S[2, Infinity]^4)/784000 + 
   ((-1643*S[-1, Infinity]^2)/1792 + (2543*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 - 
     (6179*S[-1, Infinity]*S[2, Infinity])/896 - (38197*S[3, Infinity])/1792)*
    S[5, Infinity] + (27549*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((393*S[-1, Infinity]^4)/1120 - 
     (461*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-563200*S[-7, -1, Infinity] - 107909*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 92160*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((863*S[-1, Infinity]^5)/6720 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3789*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (905*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(155*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/1440 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (835*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-62*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[3, -1, 1, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/20160 + 
   (991*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3329709*S[2, Infinity]^4)/784000 + 
   ((2039*S[-1, Infinity]^2)/1792 + (3303*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((6603*S[-1, Infinity]*S[2, Infinity])/896 - 
     (36033*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((2479*S[-1, Infinity]^4)/3360 + 
     (85*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-613*S[-1, Infinity]^5)/6720 + (1061*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (1257*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (899*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-111*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/360 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (1067*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-506560*S[-7, -1, Infinity] - 54403*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] - 138240*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[3, -1, -1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/5040 - (907*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (374767*S[2, Infinity]^4)/112000 + 
   ((-45*S[-1, Infinity]^2)/64 - (447*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (15*S[-1, Infinity]*S[2, Infinity] + (3305*S[3, Infinity])/512)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/480 - 
     (129*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    (-S[-1, Infinity]^5/16 + (5*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    (S[-1, Infinity]^6/144 + (-143*S[-5, -1, Infinity] - 
       72*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (155840*S[-7, -1, Infinity] + 22389*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 16000*S[-5, -1, 1, 1, Infinity] - 
     20480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[3, -1, -1, 1, 1, -1, Infinity] -> (331*S[-1, Infinity]^8)/40320 + 
   (2097*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (658711*S[2, Infinity]^4)/196000 + 
   ((915*S[-1, Infinity]^2)/224 - (4637*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (19451*S[-1, Infinity]*S[2, Infinity])/896 + (1943*S[3, Infinity])/1792)*
    S[5, Infinity] - (4049*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (165*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/1680 + 
     (179*S[-1, 1, 1, 1, Infinity])/70) + 
   (143960*S[-7, -1, Infinity] + 18689*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity] + 
     10080*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-199*S[-1, Infinity]^5)/448 + 
     (757*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (13507*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (77*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (97*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/180 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1277*S[-5, -1, Infinity] + 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4, 
 S[3, -1, -1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/240 + 
   (703*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (86159*S[2, Infinity]^4)/39200 + ((-5759*S[-1, Infinity]^2)/1792 - 
     (35005*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/128 + (54147*S[-1, Infinity]*S[2, Infinity])/
      896 + (111913*S[3, Infinity])/7168)*S[5, Infinity] + 
   (188861*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2447*S[-1, Infinity]^4)/6720 + 
     (43*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-281*S[-1, Infinity]^5)/1120 + 
     (313*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (16269*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1049*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-727*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-1067*S[-5, -1, Infinity] + 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1020352*S[-7, -1, Infinity] + 182905*S[5, 3, Infinity] + 
     149248*S[-5, -1, -1, -1, Infinity] + 74752*S[-5, -1, 1, 1, Infinity] + 
     21504*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[3, -1, -1, 1, -1, -1, Infinity] -> 
  (277*S[-1, Infinity]^8)/40320 + (2483*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (230861*S[2, Infinity]^4)/112000 + 
   ((-787*S[-1, Infinity]^2)/256 - (4907*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((3573*S[-1, Infinity]*S[2, Infinity])/64 + 
     (38273*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/480 + 
     S[-1, 1, 1, 1, Infinity]/40) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-49*S[-1, Infinity]^5)/320 + 
     (103*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (9113*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (161*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((67*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-211*S[-5, -1, Infinity] - 40*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-75*S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   (524480*S[-7, -1, Infinity] + 107929*S[5, 3, Infinity] + 
     75520*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity] + 
     23040*S[-1, 1, 1, 1, Infinity]^2 - 92160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[3, -1, -1, -1, 1, 1, Infinity] -> 
  (71*S[-1, Infinity]^8)/20160 + (149*S[-1, Infinity]^2*S[2, Infinity]^3)/
    32 + (317329*S[2, Infinity]^4)/156800 + 
   ((-7773*S[-1, Infinity]^2)/1792 - (26213*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/128 + 
     (27031*S[-1, Infinity]*S[2, Infinity])/896 + (175039*S[3, Infinity])/
      7168)*S[5, Infinity] + (74891*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((79*S[-1, Infinity]^4)/560 - 
     (381*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((243*S[-1, Infinity]^5)/2240 + 
     (223*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (36459*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (839*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-257*S[-5, -1, Infinity] - 49*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-61*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (529344*S[-7, -1, Infinity] + 124315*S[5, 3, Infinity] + 
     102656*S[-5, -1, -1, -1, Infinity] + 35328*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[3, -1, -1, -1, 1, -1, Infinity] -> (73*S[-1, Infinity]^8)/20160 + 
   (767*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (832001*S[2, Infinity]^4)/784000 + 
   ((-5367*S[-1, Infinity]^2)/1792 - (8835*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 + 
     (39*S[-1, Infinity]*S[2, Infinity])/28 + (244809*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/1120 - 
     (373*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1151*S[-1, Infinity]^5)/6720 - 
     (367*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (4027*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (417*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-45*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-485*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (476480*S[-7, -1, Infinity] + 201749*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] + 171520*S[-5, -1, 1, 1, Infinity] + 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[3, -1, -1, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/336 + 
   (167*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (400817*S[2, Infinity]^4)/
    392000 + ((-41*S[-1, Infinity]^2)/28 - (4425*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 + 
     (25761*S[-1, Infinity]*S[2, Infinity])/896 + (65957*S[3, Infinity])/
      3584)*S[5, Infinity] - (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-1553*S[-1, Infinity]^4)/6720 - 
     (193*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-239*S[-1, Infinity]^5)/3360 + 
     (589*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (657*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1255*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (1297920*S[-7, -1, Infinity] + 200463*S[5, 3, Infinity] + 
     158720*S[-5, -1, -1, -1, Infinity] + 123520*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[3, -1, -1, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/315 + 
   (421*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (448199*S[2, Infinity]^4)/196000 + 
   ((-491*S[-1, Infinity]^2)/224 - (3221*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 + 
     (17041*S[-1, Infinity]*S[2, Infinity])/448 + (34415*S[3, Infinity])/
      1792)*S[5, Infinity] + (78489*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (191*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (194560*S[-7, -1, Infinity] + 38711*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/280 - 
     (44*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-317*S[-1, Infinity]^5)/3360 + 
     (751*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (13953*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (183*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 - (158*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 64*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[2, 2, 1, 1, 1, 1, Infinity] -> (42*S[2, Infinity]^4)/25 - 
   8*S[3, Infinity]*S[5, Infinity], S[2, 2, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/3360 - (877*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (3035391*S[2, Infinity]^4)/784000 + 
   ((-1747*S[-1, Infinity]^2)/896 + (717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 - 
     (2857*S[-1, Infinity]*S[2, Infinity])/896 - (13115*S[3, Infinity])/1792)*
    S[5, Infinity] - (49611*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-1223*S[-1, Infinity]^4)/6720 + 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/672 - 
     (383*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (11441*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (215*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(183*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-163680*S[-7, -1, Infinity] - 14689*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 35520*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[2, 2, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/672 + 
   (2543*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (69169*S[2, Infinity]^4)/156800 + ((-3337*S[-1, Infinity]^2)/896 - 
     (909*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/64 - (229*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1597*S[3, Infinity])/224)*S[5, Infinity] + 
   (83873*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((97*S[-1, Infinity]^4)/210 + 
     (179*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((883*S[-1, Infinity]^5)/6720 - 
     (113*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (13253*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (319*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (417*S[-5, -1, Infinity] - 70*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-93*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-32896*S[-7, -1, Infinity] + 51*S[5, 3, Infinity] + 
     2752*S[-5, -1, -1, -1, Infinity] - 6560*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/896, 
 S[2, 2, 1, 1, -1, -1, Infinity] -> (107*S[-1, Infinity]^8)/40320 + 
   (2657*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (301023*S[2, Infinity]^4)/98000 + 
   ((139*S[-1, Infinity]^2)/112 + (403*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-15*S[-1, Infinity]*S[2, Infinity])/7 + 
     (5247*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((3869*S[-1, Infinity]^4)/6720 + 
     (13*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*(S[-1, Infinity]^5/1680 + 
     (251*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (619*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     S[-1, 1, 1, 1, 1, Infinity]/14) + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/1440 - (5*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (193*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-264160*S[-7, -1, Infinity] - 43019*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 2, 1, -1, 1, 1, Infinity] -> 
  (401*S[-1, Infinity]^8)/40320 + (731*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (691031*S[2, Infinity]^4)/392000 + 
   ((15613*S[-1, Infinity]^2)/1792 - (635*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/128 + 
     (6305*S[-1, Infinity]*S[2, Infinity])/448 + (103049*S[3, Infinity])/
      3584)*S[5, Infinity] - (36093*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-431*S[-1, Infinity]^4)/840 + 
     (215*S[-1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-143*S[-1, Infinity]^5)/224 + 
     (877*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (35863*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (675*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-37*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1053*S[-5, -1, Infinity] + 518*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(21*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (502080*S[-7, -1, Infinity] + 50287*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 113600*S[-5, -1, 1, 1, Infinity] + 
     67200*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 2, 1, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/5760 + (125*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (163*S[2, Infinity]^4)/3200 + ((463*S[-1, Infinity]^2)/256 - 
     (305*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/128 + (1257*S[-1, Infinity]*S[2, Infinity])/128 + 
     (411*S[3, Infinity])/64)*S[5, Infinity] + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/160 - 
     (21*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (19904*S[-7, -1, Infinity] + 2161*S[5, 3, Infinity] + 
     1024*S[-5, -1, -1, -1, Infinity] + 3072*S[-5, -1, 1, 1, Infinity] + 
     768*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/8 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (273*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     15*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/240 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-65*S[-5, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4, 
 S[2, 2, 1, -1, -1, 1, Infinity] -> (131*S[-1, Infinity]^8)/40320 - 
   (481*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1108801*S[2, Infinity]^4)/392000 + 
   ((-423*S[-1, Infinity]^2)/448 - (3271*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/128 + 
     (16095*S[-1, Infinity]*S[2, Infinity])/896 + (29991*S[3, Infinity])/
      1792)*S[5, Infinity] - (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-2013*S[-1, Infinity]^4)/2240 + 
     (523*S[-1, 1, 1, 1, Infinity])/280) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-151*S[-1, Infinity]^5)/840 - 
     (241*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5689*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (151*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - (116*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (34430*S[-7, -1, Infinity] + 7317*S[5, 3, Infinity] + 
     3760*S[-5, -1, -1, -1, Infinity] + 2960*S[-5, -1, 1, 1, Infinity] + 
     2520*S[-1, 1, 1, 1, Infinity]^2 - 22400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[2, 2, 1, -1, -1, -1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1440 + (5771*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (821307*S[2, Infinity]^4)/156800 + 
   ((13799*S[-1, Infinity]^2)/896 - (4191*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (15045*S[-1, Infinity]*S[2, Infinity])/448 + (74237*S[3, Infinity])/
      1792)*S[5, Infinity] - (221297*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-4043*S[-1, Infinity]^4)/3360 + 
     (2199*S[-1, 1, 1, 1, Infinity])/280) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1555*S[-1, Infinity]^5)/1344 + 
     (3785*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (66869*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (147*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1315*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-79*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(391*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (S[-1, Infinity]*(347*S[-5, 1, 1, Infinity] + 256*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(36384*S[-7, -1, Infinity] + 3695*S[5, 3, Infinity] + 
      192*S[-5, -1, -1, -1, Infinity] + 7200*S[-5, -1, 1, 1, Infinity] + 
      3584*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/896, S[2, 2, -1, 1, 1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/5040 - (295*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (32511*S[2, Infinity]^4)/5600 + 
   ((1663*S[-1, Infinity]^2)/256 + (1905*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/192 - 
     (943*S[-1, Infinity]*S[2, Infinity])/32 + (2283*S[3, Infinity])/256)*
    S[5, Infinity] - (14399*S[-1, Infinity]*S[7, Infinity])/512 + 
   (-1408*S[-7, -1, Infinity] - 457*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 384*S[-5, -1, 1, 1, Infinity])/64 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/40 + S[-1, 1, 1, 1, Infinity]/8) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-211*S[-1, Infinity]^5)/960 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (47*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((-71*S[-1, Infinity]^6)/1440 - 9*S[-5, -1, Infinity] + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 2*S[-1, Infinity]^2*
    (S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2, 
 S[2, 2, -1, 1, 1, -1, Infinity] -> (-3*S[-1, Infinity]^8)/4480 - 
   (1367*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (121161*S[2, Infinity]^4)/392000 + 
   ((3189*S[-1, Infinity]^2)/1792 + (13669*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/192 - 
     (15083*S[-1, Infinity]*S[2, Infinity])/448 - (31145*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*
    ((1217*S[-1, Infinity]^4)/2240 - (319*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/1120 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (6063*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (129*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-139*S[-1, Infinity]^6)/1440 + 
     (17*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (335*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-701760*S[-7, -1, Infinity] - 152899*S[5, 3, Infinity] - 
     135680*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, 2, -1, 1, -1, 1, Infinity] -> 
  (31*S[-1, Infinity]^8)/2520 - (1583*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (50889*S[2, Infinity]^4)/196000 + 
   ((-117*S[-1, Infinity]^2)/896 - (547*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/192 + 
     (1031*S[-1, Infinity]*S[2, Infinity])/448 + (355*S[3, Infinity])/448)*
    S[5, Infinity] - (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-503*S[-1, Infinity]^4)/1680 + 
     (71*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/140 - 
     (727*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4591*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (191*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 + (69*S[-5, -1, Infinity])/56 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (5510*S[-7, -1, Infinity] + 1369*S[5, 3, Infinity] + 
     520*S[-5, -1, -1, -1, Infinity] - 380*S[-5, -1, 1, 1, Infinity] + 
     3360*S[-1, 1, 1, 1, Infinity]^2 - 11200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[2, 2, -1, 1, -1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/840 + (1013*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2679153*S[2, Infinity]^4)/392000 + 
   ((3715*S[-1, Infinity]^2)/448 + (143*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1271*S[-1, Infinity]^3)/384 + 
     (2243*S[-1, Infinity]*S[2, Infinity])/448 + (11913*S[3, Infinity])/448)*
    S[5, Infinity] - (312925*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (99*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-5213*S[-1, Infinity]^4)/6720 + 
     (51*S[-1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-689*S[-1, Infinity]^5)/1120 + 
     (281*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (28473*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (667*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (3*(187*S[-5, -1, Infinity] - 
        42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (S[-1, Infinity]*(188*S[-5, 1, 1, Infinity] + 97*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (507200*S[-7, -1, Infinity] + 61191*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 110080*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 2, -1, -1, 1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/1008 - (159*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (630153*S[2, Infinity]^4)/156800 + 
   ((27*S[-1, Infinity]^2)/896 + (1677*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-9*S[-1, Infinity]*S[2, Infinity])/14 - 
     (8447*S[3, Infinity])/896)*S[5, Infinity] + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((1609*S[-1, Infinity]^4)/3360 + 
     (393*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/9 + (1131*S[-5, -1, Infinity])/56 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/140 + 
     (89*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2971*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (113*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (-36384*S[-7, -1, Infinity] - 3695*S[5, 3, Infinity] - 
     192*S[-5, -1, -1, -1, Infinity] - 7200*S[-5, -1, 1, 1, Infinity] + 
     5376*S[-1, 1, 1, 1, Infinity]^2 + 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[2, 2, -1, -1, 1, -1, Infinity] -> 
  (143*S[-1, Infinity]^8)/40320 - (6299*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (224799*S[2, Infinity]^4)/56000 + 
   ((-55*S[-1, Infinity]^2)/7 + (267*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((279*S[-1, Infinity]^3)/128 - (559*S[-1, Infinity]*S[2, Infinity])/28 - 
     (1327*S[3, Infinity])/64)*S[5, Infinity] + 
   (94755*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (44*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/40 - (99*S[-1, 1, 1, 1, Infinity])/
      40) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (3*(25120*S[-7, -1, Infinity] + 2459*S[5, 3, Infinity] + 
      5120*S[-5, -1, 1, 1, Infinity] + 640*S[-1, 1, 1, 1, Infinity]^2))/
    1280 + S[3, Infinity]*((497*S[-1, Infinity]^5)/960 - 
     (371*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (36073*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (91*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(83*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (S[-1, Infinity]*(-176*S[-5, 1, 1, Infinity] - 
      113*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28, S[2, 2, -1, -1, -1, 1, Infinity] -> -S[-1, Infinity]^8/168 - 
   (4139*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1438751*S[2, Infinity]^4)/392000 + 
   ((-329*S[-1, Infinity]^2)/128 + (737*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (7689*S[-1, Infinity]*S[2, Infinity])/128 - (26745*S[3, Infinity])/896)*
    S[5, Infinity] + (56839*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1579*S[-1, Infinity]^4)/2240 - 
     (51*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((2137*S[-1, Infinity]^5)/3360 - 
     (257*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (493*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (807*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (2937*S[-5, -1, Infinity] - 
       1736*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(105*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-44*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1224000*S[-7, -1, Infinity] - 208583*S[5, 3, Infinity] - 
     149760*S[-5, -1, -1, -1, Infinity] - 110080*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 2, -1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/210 - (2059*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (74289*S[2, Infinity]^4)/24500 + ((151*S[-1, Infinity]^2)/112 + 
     (3755*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-6873*S[-1, Infinity]*S[2, Infinity])/112 - (39069*S[3, Infinity])/1792)*
    S[5, Infinity] + S[2, Infinity]^2*((3217*S[-1, Infinity]^4)/3360 + 
     (227*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/560 - 
     (325*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (9035*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (409*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/180 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (563*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(557*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-1280800*S[-7, -1, Infinity] - 206603*S[5, 3, Infinity] - 
     149120*S[-5, -1, -1, -1, Infinity] - 108480*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 1, 2, 1, 1, 1, Infinity] -> 
  (174*S[2, Infinity]^4)/175 - 4*S[5, 3, Infinity], 
 S[2, 1, 2, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/384 + 
   (2409*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2493317*S[2, Infinity]^4)/392000 + 
   ((23*S[-1, Infinity]^2)/16 - (661*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-465*S[-1, Infinity]^3)/128 + (2839*S[-1, Infinity]*S[2, Infinity])/
      128 + (11491*S[3, Infinity])/1792)*S[5, Infinity] + 
   (243717*S[-1, Infinity]*S[7, Infinity])/7168 - 
   5*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((181*S[-1, Infinity]^4)/3360 + 
     (67*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (350720*S[-7, -1, Infinity] + 58971*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-773*S[-1, Infinity]^5)/6720 + 
     (225*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (539*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-173*S[-5, -1, Infinity] + 420*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, 2, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/384 - 
   (4399*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (714139*S[2, Infinity]^4)/784000 + 
   ((-6263*S[-1, Infinity]^2)/1792 + (1417*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 - 
     (5571*S[-1, Infinity]*S[2, Infinity])/448 - (8639*S[3, Infinity])/896)*
    S[5, Infinity] + (154797*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (295*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (3*S[-1, Infinity]*(24*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((1159*S[-1, Infinity]^4)/3360 - 
     (107*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-168640*S[-7, -1, Infinity] - 17519*S[5, 3, Infinity] - 
     14720*S[-5, -1, -1, -1, Infinity] - 39040*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((451*S[-1, Infinity]^5)/1680 - 
     (461*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (13427*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (167*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/160 + (433*S[-5, -1, Infinity])/
      28 + (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, 2, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/384 - 
   (53*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (522023*S[2, Infinity]^4)/
    784000 + ((-233*S[-1, Infinity]^2)/1792 + (2199*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-120*S[-1, Infinity]*S[2, Infinity])/7 - 
     (7307*S[3, Infinity])/3584)*S[5, Infinity] + 
   (181*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((2021*S[-1, Infinity]^4)/6720 - 
     (131*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-37760*S[-7, -1, Infinity] - 41539*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/672 + 
     (311*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (865*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/160 - (199*S[-5, -1, Infinity])/
      56 + (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, 2, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/64 - 
   (1829*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (328369*S[2, Infinity]^4)/392000 + 
   ((-15621*S[-1, Infinity]^2)/1792 - (6077*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 - 
     (2139*S[-1, Infinity]*S[2, Infinity])/896 - (88593*S[3, Infinity])/3584)*
    S[5, Infinity] + (100917*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (257*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (3*S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] + 52*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((1759*S[-1, Infinity]^4)/6720 - 
     (1969*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (36320*S[-7, -1, Infinity] + 11881*S[5, 3, Infinity] + 
     12160*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((4133*S[-1, Infinity]^5)/6720 - 
     (561*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1721*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (91*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (237*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/160 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (257*S[-5, -1, Infinity] - 
       126*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, 2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/384 + 
   (599*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (228409*S[2, Infinity]^4)/784000 + 
   ((-1191*S[-1, Infinity]^2)/1792 - (5351*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/128 + 
     (4815*S[-1, Infinity]*S[2, Infinity])/896 + (1663*S[3, Infinity])/448)*
    S[5, Infinity] - (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((859*S[-1, Infinity]^4)/1680 - 
     (143*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - (677*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (444800*S[-7, -1, Infinity] + 41023*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 78080*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/168 + 
     (1363*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (157*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, 2, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/128 - (2013*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (18327*S[2, Infinity]^4)/39200 + ((27*S[-1, Infinity]^2)/28 + 
     (351*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/128 - (15177*S[-1, Infinity]*S[2, Infinity])/
      896 - (38939*S[3, Infinity])/1792)*S[5, Infinity] + 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (141*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((891*S[-1, Infinity]^4)/2240 - 
     (783*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-21552*S[-7, -1, Infinity] - 9439*S[5, 3, Infinity] - 
     6144*S[-5, -1, -1, -1, Infinity] - 576*S[-5, -1, 1, 1, Infinity] - 
     4032*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((121*S[-1, Infinity]^5)/840 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (5179*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (121*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[2, 1, 2, -1, -1, -1, Infinity] -> (-7*S[-1, Infinity]^8)/384 - 
   (559*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (947567*S[2, Infinity]^4)/392000 + 
   ((-99*S[-1, Infinity]^2)/28 - (197*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/64 - (9759*S[-1, Infinity]*S[2, Infinity])/896 - 
     (48931*S[3, Infinity])/1792)*S[5, Infinity] + 
   (218847*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((277*S[-1, Infinity]^4)/840 - 
     (277*S[-1, 1, 1, 1, Infinity])/35) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (135200*S[-7, -1, Infinity] + 421*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] - 
     94080*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((943*S[-1, Infinity]^5)/1680 - 
     (355*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (12157*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (104*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/160 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-S[-5, -1, Infinity] + 
       252*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, 1, 2, 1, 1, Infinity] -> (-6*S[2, Infinity]^4)/175 + 
   4*S[5, 3, Infinity], S[2, 1, 1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/128 - (621*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (3245957*S[2, Infinity]^4)/392000 + 
   ((-191*S[-1, Infinity]^2)/112 + (661*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (10537*S[-1, Infinity]*S[2, Infinity])/448 - (17763*S[3, Infinity])/
      1792)*S[5, Infinity] - (24361*S[-1, Infinity]*S[7, Infinity])/896 + 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-391*S[-1, Infinity]^4)/3360 - 
     (487*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-350720*S[-7, -1, Infinity] - 58971*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((1459*S[-1, Infinity]^5)/6720 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (717*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (181*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/15 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (173*S[-5, -1, Infinity] - 420*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, 1, 2, -1, 1, Infinity] -> S[-1, Infinity]^8/384 + 
   (341*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (114677*S[2, Infinity]^4)/56000 + ((1145*S[-1, Infinity]^2)/896 + 
     (11*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/64 + (13175*S[-1, Infinity]*S[2, Infinity])/896 + 
     (37*S[3, Infinity])/32)*S[5, Infinity] - 
   (233843*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 103*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/48 - 
     2*S[-1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-11680*S[-7, -1, Infinity] - 1561*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/480 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (741*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, 1, 1, 1, 1, Infinity]/2) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/120 - (15*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(3*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[2, 1, 1, 2, -1, -1, Infinity] -> S[-1, Infinity]^8/384 + 
   (867*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (140809*S[2, Infinity]^4)/196000 + 
   ((-967*S[-1, Infinity]^2)/896 - (6359*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((216*S[-1, Infinity]*S[2, Infinity])/7 + 
     (13911*S[3, Infinity])/896)*S[5, Infinity] - 
   (151*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-3257*S[-1, Infinity]^4)/6720 - 
     (313*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (67240*S[-7, -1, Infinity] + 20971*S[5, 3, Infinity] + 
     18560*S[-5, -1, -1, -1, Infinity] - 1760*S[-5, -1, 1, 1, Infinity] + 
     3360*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/336 - 
     (191*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1573*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (125*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/160 - (24*S[-5, -1, Infinity])/7 - 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, 1, 1, 2, 1, Infinity] -> (-18*S[2, Infinity]^4)/25 + 
   8*S[3, Infinity]*S[5, Infinity], S[2, 1, 1, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/128 + (323*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (678*S[2, Infinity]^4)/175 + (25*S[-1, Infinity]^2*S[3, Infinity]^2)/16 + 
   ((235*S[-1, Infinity]*S[2, Infinity])/64 + 8*S[3, Infinity])*
    S[5, Infinity] + (6945*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/4 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/5 + (36*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*((-161*S[-1, Infinity]^5)/960 + 
     (161*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (31*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-71*S[-1, Infinity]^6)/480 + (9*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (15*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[2, 1, 1, 1, 1, 2, Infinity] -> (1294*S[2, Infinity]^4)/875 - 
   4*S[3, Infinity]*S[5, Infinity] - (2*S[5, 3, Infinity])/5, 
 S[2, 1, 1, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/384 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (15381*S[2, Infinity]^4)/
    8000 + ((-89*S[-1, Infinity]^2)/128 - (41*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((S[-1, Infinity]*S[2, Infinity])/32 - 
     (477*S[3, Infinity])/512)*S[5, Infinity] - 
   (1389*S[-1, Infinity]*S[7, Infinity])/512 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/120 - 
     (23*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-8000*S[-7, -1, Infinity] + 183*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/320 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (751*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/96 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2*S[-5, -1, Infinity] - 3*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[2, 1, 1, 1, -1, 2, Infinity] -> (59*S[-1, Infinity]^8)/40320 + 
   (283*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (452633*S[2, Infinity]^4)/
    156800 + ((3189*S[-1, Infinity]^2)/896 + (9045*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 - 
     (10849*S[-1, Infinity]*S[2, Infinity])/896 + (9195*S[3, Infinity])/1792)*
    S[5, Infinity] - (5183*S[-1, Infinity]*S[7, Infinity])/896 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((397*S[-1, Infinity]^4)/6720 + 
     (139*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-239*S[-1, Infinity]^5)/2240 + (9*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1151*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(10*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-41408*S[-7, -1, Infinity] - 10239*S[5, 3, Infinity] - 
     12928*S[-5, -1, -1, -1, Infinity] + 7552*S[-5, -1, 1, 1, Infinity] + 
     896*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[2, 1, 1, 1, -1, -2, Infinity] -> 
  (39*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - (195479*S[2, Infinity]^4)/
    392000 + ((351*S[-1, Infinity]^2)/1792 + (2159*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-117*S[-1, Infinity]*S[2, Infinity])/28 + 
     (19081*S[3, Infinity])/7168)*S[5, Infinity] + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (-143680*S[-7, -1, Infinity] - 44883*S[5, 3, Infinity] - 
     49920*S[-5, -1, -1, -1, Infinity] + 40960*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((-713*S[-1, Infinity]^4)/6720 + 
     (187*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((39*S[-1, Infinity]^5)/2240 - (39*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (6903*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (117*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-31*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[2, 1, 1, 1, -2, 1, Infinity] -> -S[-1, Infinity]^8/1152 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (44087*S[2, Infinity]^4)/
    112000 + ((-99*S[-1, Infinity]^2)/64 - (203*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]*S[2, Infinity])/8 - 
     (1445*S[3, Infinity])/1024)*S[5, Infinity] + 
   (8295*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/4 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/240 - 
     (11*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-1600*S[-7, -1, Infinity] + 3927*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/960 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (843*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (7*S[-5, -1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[2, 1, 1, 1, -2, -1, Infinity] -> -S[-1, Infinity]^8/1152 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (1929*S[2, Infinity]^4)/
    2240 + ((47*S[-1, Infinity]^2)/128 + (127*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-15*S[-1, Infinity]*S[2, Infinity])/4 - 
     (10093*S[3, Infinity])/1024)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/320 - 
     (57*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (8000*S[-7, -1, Infinity] - 1309*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     512*S[-1, 1, 1, 1, Infinity]^2)/1024 + 
   S[3, Infinity]*(S[-1, Infinity]^5/960 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (199*S[-1, Infinity]*S[2, Infinity]^2)/640 - S[-1, 1, 1, 1, 1, Infinity]/
      8) + S[2, Infinity]*((-19*S[-1, Infinity]^6)/480 - 
     (5*S[-5, -1, Infinity])/2 + (5*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, 1, 1, -1, 2, 1, Infinity] -> (-269*S[-1, Infinity]^8)/20160 - 
   (4217*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (105653*S[2, Infinity]^4)/78400 + ((-2155*S[-1, Infinity]^2)/1792 + 
     (40631*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/32 - (53885*S[-1, Infinity]*S[2, Infinity])/896 - 
     (46267*S[3, Infinity])/3584)*S[5, Infinity] - 
   (60841*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-1061*S[-1, Infinity]^4)/1344 - 
     (185*S[-1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((471*S[-1, Infinity]^5)/1120 - 
     (1525*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (8685*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (643*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(795*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((331*S[-1, Infinity]^6)/1440 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (957*S[-5, -1, Infinity] + 
       364*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity] + 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-508736*S[-7, -1, Infinity] - 94047*S[5, 3, Infinity] - 
     73984*S[-5, -1, -1, -1, Infinity] - 19200*S[-5, -1, 1, 1, Infinity] - 
     25088*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[2, 1, 1, -1, 2, -1, Infinity] -> 
  (-319*S[-1, Infinity]^8)/40320 - (183*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 - (4118461*S[2, Infinity]^4)/784000 + 
   ((-1445*S[-1, Infinity]^2)/1792 - (13925*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4041*S[-1, Infinity]*S[2, Infinity])/448 - 
     (5513*S[3, Infinity])/896)*S[5, Infinity] + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-5071*S[-1, Infinity]^4)/6720 + 
     (353*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/840 - 
     (303*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1313*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (207*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-117*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/288 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1737*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (904640*S[-7, -1, Infinity] + 118371*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 103680*S[-5, -1, 1, 1, Infinity] - 
     22400*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 1, 1, -1, 1, 2, Infinity] -> 
  (29*S[-1, Infinity]^8)/3360 - (1237*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (60003*S[2, Infinity]^4)/6272 + 
   ((527*S[-1, Infinity]^2)/128 - (27255*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 + 
     (2787*S[-1, Infinity]*S[2, Infinity])/64 + (15629*S[3, Infinity])/1792)*
    S[5, Infinity] - (82291*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((1373*S[-1, Infinity]^4)/6720 + 
     (951*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-893*S[-1, Infinity]^5)/1680 + 
     (2851*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (7013*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (911*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-71*S[-1, Infinity]^6)/360 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-1899*S[-5, -1, Infinity] - 616*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(128*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (66664*S[-7, -1, Infinity] + 8405*S[5, 3, Infinity] + 
     5088*S[-5, -1, -1, -1, Infinity] + 6112*S[-5, -1, 1, 1, Infinity] + 
     2688*S[-1, 1, 1, 1, Infinity]^2 - 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/448, S[2, 1, 1, -1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/576 + (4*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (85191*S[2, Infinity]^4)/78400 + ((-927*S[-1, Infinity]^2)/1792 - 
     (4055*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((2255*S[-1, Infinity]*S[2, Infinity])/224 + (12827*S[3, Infinity])/7168)*
    S[5, Infinity] - (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((281*S[-1, Infinity]^4)/1680 - 
     (249*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-46400*S[-7, -1, Infinity] + 15335*S[5, 3, Infinity] + 
     26368*S[-5, -1, -1, -1, Infinity] - 35328*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/1680 + 
     (281*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (15207*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (281*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/720 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(137*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[2, 1, 1, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/384 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (11293*S[2, Infinity]^4)/11200 + ((-9*S[-1, Infinity]^2)/32 - 
     (9*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   (6*S[-1, Infinity]*S[2, Infinity] + (2463*S[3, Infinity])/256)*
    S[5, Infinity] - S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/192 + 
     (7*S[-1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-6432*S[-7, -1, Infinity] + 573*S[5, 3, Infinity] + 
     512*S[-5, -1, -1, -1, Infinity] - 1664*S[-5, -1, 1, 1, Infinity] + 
     384*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/
      12 - (3*S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, 
      Infinity]) + S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (31*S[-5, -1, Infinity] + 12*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[2, 1, 1, -1, -1, -2, Infinity] -> (-341*S[-1, Infinity]^8)/40320 - 
   (1193*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (629283*S[2, Infinity]^4)/49000 + ((-5293*S[-1, Infinity]^2)/896 - 
     (1681*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (51777*S[-1, Infinity]*S[2, Infinity])/896 + 
     (32287*S[3, Infinity])/3584)*S[5, Infinity] + 
   (325531*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (177*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-127*S[-1, Infinity]^4)/1120 - 
     (499*S[-1, 1, 1, 1, Infinity])/70) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((249*S[-1, Infinity]^5)/2240 + 
     (247*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (51773*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (83*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1079*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/288 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-425*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) - (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] - 
      155*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (4165120*S[-7, -1, Infinity] + 634701*S[5, 3, Infinity] + 
     508160*S[-5, -1, -1, -1, Infinity] + 253440*S[-5, -1, 1, 1, Infinity] - 
     62720*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, 1, 1, -1, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/384 - (467*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (775087*S[2, Infinity]^4)/392000 + 
   ((-279*S[-1, Infinity]^2)/448 - (1103*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]*S[2, Infinity])/7 - 
     (543*S[3, Infinity])/896)*S[5, Infinity] - 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((1243*S[-1, Infinity]^4)/6720 - 
     (613*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + (353*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-955*S[-7, -1, Infinity] + 1248*S[5, 3, Infinity] + 
     1240*S[-5, -1, -1, -1, Infinity] - 1660*S[-5, -1, 1, 1, Infinity] + 
     420*S[-1, 1, 1, 1, Infinity]^2)/280 + 
   S[3, Infinity]*((-407*S[-1, Infinity]^5)/6720 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (3807*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, 1, -1, -2, -1, Infinity] -> 
  (131*S[-1, Infinity]^8)/40320 - (633*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (3180157*S[2, Infinity]^4)/392000 + 
   ((-3707*S[-1, Infinity]^2)/896 + (8765*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/32 - 
     (77043*S[-1, Infinity]*S[2, Infinity])/896 - (103053*S[3, Infinity])/
      3584)*S[5, Infinity] - (553267*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (157*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/224 + 
     (86*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((403*S[-1, Infinity]^5)/840 - (3301*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (42971*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1577*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/45 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (3*(-1805*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (S[-1, Infinity]*(-191*S[-5, 1, 1, Infinity] + 
      173*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-6264960*S[-7, -1, Infinity] - 908503*S[5, 3, Infinity] - 
     559360*S[-5, -1, -1, -1, Infinity] - 632320*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, 1, 1, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (1381*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (274081*S[2, Infinity]^4)/784000 + 
   ((2095*S[-1, Infinity]^2)/896 + (3929*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 + 
     (1031*S[-1, Infinity]*S[2, Infinity])/448 + (38833*S[3, Infinity])/7168)*
    S[5, Infinity] - (164389*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] + 89*S[5, -1, -1, Infinity]))/
    28 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((451*S[-1, Infinity]^4)/6720 + 
     (1229*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + (8*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-417600*S[-7, -1, Infinity] - 114391*S[5, 3, Infinity] - 
     113920*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/840 + 
     (479*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (16369*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (223*S[-1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, 1, -2, 1, -1, Infinity] -> S[-1, Infinity]^8/1152 + 
   (361*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (117031*S[2, Infinity]^4)/196000 + 
   ((303*S[-1, Infinity]^2)/448 - (841*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/192 + 
     (4673*S[-1, Infinity]*S[2, Infinity])/448 + (31821*S[3, Infinity])/7168)*
    S[5, Infinity] - (143*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/224 - 
     (3*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (873280*S[-7, -1, Infinity] + 134429*S[5, 3, Infinity] + 
     93440*S[-5, -1, -1, -1, Infinity] + 85760*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/1344 + 
     (415*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4211*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (415*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - (239*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, 1, 1, -2, -1, 1, Infinity] -> S[-1, Infinity]^8/384 - 
   (807*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (56349*S[2, Infinity]^4)/78400 + ((153*S[-1, Infinity]^2)/448 + 
     (977*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 - (4349*S[-1, Infinity]*S[2, Infinity])/
      448 - (59*S[3, Infinity])/896)*S[5, Infinity] + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (39*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-383*S[-1, Infinity]^4)/1344 + 
     (257*S[-1, 1, 1, 1, Infinity])/56) + 
   (-12848*S[-7, -1, Infinity] - 1881*S[5, 3, Infinity] - 
     2176*S[-5, -1, -1, -1, Infinity] - 64*S[-5, -1, 1, 1, Infinity] + 
     1344*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*(S[-1, Infinity]^5/840 - 
     (449*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1039*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     S[-1, 1, 1, 1, 1, Infinity]/7), S[2, 1, 1, -2, -1, -1, Infinity] -> 
  (7*S[-1, Infinity]^8)/1152 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (3351*S[2, Infinity]^4)/1960 + ((3139*S[-1, Infinity]^2)/896 + 
     (1751*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/96 - (17599*S[-1, Infinity]*S[2, Infinity])/896 - 
     (26193*S[3, Infinity])/3584)*S[5, Infinity] - 
   (77389*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (131*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (5*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity]))/
    14 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/420 + 
     (487*S[-1, 1, 1, 1, Infinity])/70) + 
   (-137472*S[-7, -1, Infinity] - 39903*S[5, 3, Infinity] - 
     43776*S[-5, -1, -1, -1, Infinity] + 7936*S[-5, -1, 1, 1, Infinity] + 
     12544*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-467*S[-1, Infinity]^5)/3360 + 
     (395*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (179*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/480 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (431*S[-5, -1, Infinity] - 
       588*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, -1, 2, 1, 1, Infinity] -> (-13*S[-1, Infinity]^8)/4032 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (3503379*S[2, Infinity]^4)/
    392000 + ((-27077*S[-1, Infinity]^2)/1792 + (2509*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((6913*S[-1, Infinity]^3)/384 + 
     (923*S[-1, Infinity]*S[2, Infinity])/112 - (9753*S[3, Infinity])/448)*
    S[5, Infinity] - (322597*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((3259*S[-1, Infinity]^4)/6720 + 
     (451*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((1339*S[-1, Infinity]^5)/2240 - 
     (351*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (37789*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (453*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-143*S[-1, Infinity]^6)/1440 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3569*S[-5, -1, Infinity] - 588*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(563*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-375*S[-5, 1, 1, Infinity] + 
      157*S[5, -1, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-1189760*S[-7, -1, Infinity] - 124333*S[5, 3, Infinity] - 
     36480*S[-5, -1, -1, -1, Infinity] - 196480*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, 1, -1, 2, 1, -1, Infinity] -> 
  (73*S[-1, Infinity]^8)/20160 + (373*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (1275083*S[2, Infinity]^4)/196000 + 
   ((-5895*S[-1, Infinity]^2)/1792 - (62023*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 + 
     (22433*S[-1, Infinity]*S[2, Infinity])/224 + (84053*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((859*S[-1, Infinity]^4)/1680 - 
     (199*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1089*S[-1, Infinity]^5)/2240 + 
     (1285*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (80721*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (633*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/9 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(1551*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-1243*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (5413120*S[-7, -1, Infinity] + 826129*S[5, 3, Infinity] + 
     602880*S[-5, -1, -1, -1, Infinity] + 436480*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, 1, -1, 2, -1, 1, Infinity] -> 
  (473*S[-1, Infinity]^8)/40320 + (1471*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (2466007*S[2, Infinity]^4)/196000 + 
   ((1551*S[-1, Infinity]^2)/896 + (9903*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 - 
     (12221*S[-1, Infinity]*S[2, Infinity])/896 - (58699*S[3, Infinity])/
      3584)*S[5, Infinity] + (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((2327*S[-1, Infinity]^4)/1344 + 
     (1917*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/560 + 
     (2347*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (13451*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (166*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/180 + (899*S[-5, -1, Infinity])/
      14 + 6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (-2646720*S[-7, -1, Infinity] - 380761*S[5, 3, Infinity] - 
     74240*S[-5, -1, -1, -1, Infinity] - 445440*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, 1, -1, 2, -1, -1, Infinity] -> 
  (4*S[-1, Infinity]^8)/315 - (1763*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (10558279*S[2, Infinity]^4)/392000 + 
   ((-93*S[-1, Infinity]^2)/7 + (74755*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((12865*S[-1, Infinity]^3)/384 - 
     (159727*S[-1, Infinity]*S[2, Infinity])/896 - (33339*S[3, Infinity])/
      224)*S[5, Infinity] - (47593*S[-1, Infinity]*S[7, Infinity])/512 + 
   (825*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((611*S[-1, Infinity]^4)/280 + 
     (136*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((9809*S[-1, Infinity]^5)/6720 - (6673*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (214679*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1073*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-16*S[-1, Infinity]^6)/45 + 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (8429*S[-5, -1, Infinity] - 1260*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-39*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity] + 
      96*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-7333120*S[-7, -1, Infinity] - 1146623*S[5, 3, Infinity] - 
     706560*S[-5, -1, -1, -1, Infinity] - 843520*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[2, 1, -1, 1, 2, 1, Infinity] -> S[-1, Infinity]^8/420 + 
   (913*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (138867*S[2, Infinity]^4)/12250 + ((2531*S[-1, Infinity]^2)/224 - 
     (27967*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-651*S[-1, Infinity]^3)/32 + (58601*S[-1, Infinity]*S[2, Infinity])/
      896 + (98857*S[3, Infinity])/3584)*S[5, Infinity] + 
   (149549*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-2113*S[-1, Infinity]^4)/6720 - 
     (967*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/56 + 
     (495*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (42447*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (795*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/720 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-4909*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-187*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(193*S[-5, 1, 1, Infinity] - 101*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (5338880*S[-7, -1, Infinity] + 759651*S[5, 3, Infinity] + 
     508160*S[-5, -1, -1, -1, Infinity] + 531200*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[2, 1, -1, 1, 2, -1, Infinity] -> (-19*S[-1, Infinity]^8)/2240 - 
   (1921*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (825441*S[2, Infinity]^4)/98000 + 
   ((915*S[-1, Infinity]^2)/448 + (6941*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-1191*S[-1, Infinity]*S[2, Infinity])/14 - 
     (92291*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/448 - 
     (419*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((3817*S[-1, Infinity]^5)/6720 - 
     (4405*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (16165*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (27*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (359*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((341*S[-1, Infinity]^6)/1440 - 
     (27*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (2507*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (4*S[-1, Infinity]^2*(27*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-5338880*S[-7, -1, Infinity] - 759651*S[5, 3, Infinity] - 
     508160*S[-5, -1, -1, -1, Infinity] - 531200*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, 1, -1, 1, 1, 2, Infinity] -> 
  (-17*S[-1, Infinity]^8)/10080 + (163*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (8371997*S[2, Infinity]^4)/784000 + 
   ((-237*S[-1, Infinity]^2)/56 + (18573*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/128 - 
     (13795*S[-1, Infinity]*S[2, Infinity])/448 - (12171*S[3, Infinity])/
      3584)*S[5, Infinity] + (82291*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (58*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((631*S[-1, Infinity]^4)/2240 + 
     (823*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/280 - 
     (1835*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (20861*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (921*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-929*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (S[-1, Infinity]*(-128*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2785920*S[-7, -1, Infinity] - 296319*S[5, 3, Infinity] - 
     133120*S[-5, -1, -1, -1, Infinity] - 332800*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, 1, -1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/128 + (51*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (1087791*S[2, Infinity]^4)/784000 + 
   ((365*S[-1, Infinity]^2)/896 + (493*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((505*S[-1, Infinity]*S[2, Infinity])/448 + 
     (12039*S[3, Infinity])/3584)*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((97*S[-1, Infinity]^4)/1344 + 
     (53*S[-1, 1, 1, 1, Infinity])/28) + 
   (140960*S[-7, -1, Infinity] + 7179*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 27200*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-487*S[-1, Infinity]^5)/6720 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (197*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (137*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/15 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-683*S[-5, -1, Infinity] + 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, -1, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/384 - 
   (85*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (186553*S[2, Infinity]^4)/
    156800 + ((-139*S[-1, Infinity]^2)/224 + (27*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-27*S[-1, Infinity]*S[2, Infinity])/14 + 
     (3617*S[3, Infinity])/1792)*S[5, Infinity] + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-3107*S[-1, Infinity]^4)/6720 - 
     (393*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (4352*S[-7, -1, Infinity] + 5053*S[5, 3, Infinity] - 
     1152*S[-5, -1, -1, -1, Infinity] + 1152*S[-5, -1, 1, 1, Infinity] + 
     2688*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/3360 - 
     (417*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (10091*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((119*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-95*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[2, 1, -1, 1, -1, -2, Infinity] -> (-9*S[-1, Infinity]^8)/2240 + 
   (1073*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (796421*S[2, Infinity]^4)/196000 + 
   ((609*S[-1, Infinity]^2)/256 + (30715*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (1305*S[-1, Infinity]*S[2, Infinity])/32 - (12315*S[3, Infinity])/7168)*
    S[5, Infinity] - (281531*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (49*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-221*S[-1, Infinity]^4)/672 + 
     (97*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/140 - 
     (1165*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1415*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (439*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((157*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (495*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] + 95*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4384320*S[-7, -1, Infinity] - 702791*S[5, 3, Infinity] - 
     503040*S[-5, -1, -1, -1, Infinity] - 231680*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, 1, -1, 1, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/128 - (473*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (576631*S[2, Infinity]^4)/784000 + 
   ((643*S[-1, Infinity]^2)/1792 - (1347*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-51*S[-1, Infinity]*S[2, Infinity])/28 + 
     (1205*S[3, Infinity])/7168)*S[5, Infinity] + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((1903*S[-1, Infinity]^4)/6720 - 
     (13*S[-1, 1, 1, 1, Infinity])/280) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/32 - (61*S[-5, -1, Infinity])/7 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (520000*S[-7, -1, Infinity] + 16449*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] + 129280*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-481*S[-1, Infinity]^5)/6720 + 
     (481*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (4367*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/14), 
 S[2, 1, -1, 1, -2, -1, Infinity] -> (19*S[-1, Infinity]^8)/3360 + 
   (16341*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (43331*S[2, Infinity]^4)/2240 + ((10697*S[-1, Infinity]^2)/1792 - 
     (12145*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-1023*S[-1, Infinity]^3)/32 + (24235*S[-1, Infinity]*S[2, Infinity])/
      112 + (124455*S[3, Infinity])/1024)*S[5, Infinity] + 
   (561445*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (3265*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/80 - 
     (217*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-391*S[-1, Infinity]^5)/320 + 
     (185*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (418599*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (549*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((67*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1907*S[-5, -1, Infinity] + 132*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(101*S[-5, 1, 1, Infinity] - 130*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (809024*S[-7, -1, Infinity] + 131687*S[5, 3, Infinity] + 
     89856*S[-5, -1, -1, -1, Infinity] + 77056*S[-5, -1, 1, 1, Infinity] + 
     6144*S[-1, 1, 1, 1, Infinity]^2 - 327680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[2, 1, -1, -1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (1553*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (395831*S[2, Infinity]^4)/98000 + 
   ((347*S[-1, Infinity]^2)/448 + (1251*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-132*S[-1, Infinity]*S[2, Infinity])/7 - 
     (1045*S[3, Infinity])/896)*S[5, Infinity] + 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-95*S[-1, Infinity]^4)/672 - 
     (47*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (667*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (44200*S[-7, -1, Infinity] - 10793*S[5, 3, Infinity] - 
     14080*S[-5, -1, -1, -1, Infinity] + 24160*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((121*S[-1, Infinity]^5)/1344 - 
     (211*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (15821*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, -1, -1, 2, -1, Infinity] -> 
  (-131*S[-1, Infinity]^8)/13440 + (5541*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (117717*S[2, Infinity]^4)/4000 + 
   ((4835*S[-1, Infinity]^2)/448 - (18833*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/2 + 
     (74247*S[-1, Infinity]*S[2, Infinity])/224 + (6151*S[3, Infinity])/32)*
    S[5, Infinity] + (820341*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (627*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-237*S[-1, Infinity]^4)/160 - 
     (51*S[-1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-1769*S[-1, Infinity]^5)/960 + 
     (851*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (84603*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (451*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(989*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (3*S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] - 57*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (3*(-263760*S[-7, -1, Infinity] - 42001*S[5, 3, Infinity] - 
      28160*S[-5, -1, -1, -1, Infinity] - 25920*S[-5, -1, 1, 1, Infinity] + 
      320*S[-1, 1, 1, 1, Infinity]^2 + 102400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/640, S[2, 1, -1, -1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/384 - (13*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (908671*S[2, Infinity]^4)/392000 + 
   ((-19*S[-1, Infinity]^2)/28 - (5961*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((219*S[-1, Infinity]*S[2, Infinity])/14 + 
     (21419*S[3, Infinity])/3584)*S[5, Infinity] - 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/112 - 
     (103*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (1303360*S[-7, -1, Infinity] + 140519*S[5, 3, Infinity] + 
     93440*S[-5, -1, -1, -1, Infinity] + 175360*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-403*S[-1, Infinity]^5)/6720 + 
     (233*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (13999*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (81*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-379*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[2, 1, -1, -1, 1, -2, Infinity] -> (293*S[-1, Infinity]^8)/13440 + 
   (173*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (1109201*S[2, Infinity]^4)/
    56000 + ((2231*S[-1, Infinity]^2)/256 + (6849*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((651*S[-1, Infinity]^3)/64 - 
     (13137*S[-1, Infinity]*S[2, Infinity])/128 - (38069*S[3, Infinity])/
      1024)*S[5, Infinity] - (12219*S[-1, Infinity]*S[7, Infinity])/128 + 
   (181*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/16 + (92*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*((-47*S[-1, Infinity]^5)/192 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (26479*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (161*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (285*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-301*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (833*S[-5, -1, Infinity] + 148*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] + 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-2201920*S[-7, -1, Infinity] - 341213*S[5, 3, Infinity] - 
     247040*S[-5, -1, -1, -1, Infinity] - 175360*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1228800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[2, 1, -1, -1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/160 - (299*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (2885201*S[2, Infinity]^4)/112000 + 
   ((-1619*S[-1, Infinity]^2)/128 + (6771*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((1643*S[-1, Infinity]^3)/128 - 
     (17019*S[-1, Infinity]*S[2, Infinity])/128 - (37977*S[3, Infinity])/512)*
    S[5, Infinity] + (265*S[-1, Infinity]*S[7, Infinity])/512 + 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((21*S[-1, Infinity]^4)/64 + 
     (287*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((641*S[-1, Infinity]^5)/480 - (345*S[-1, Infinity]^3*S[2, Infinity])/
      32 - (21817*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (431*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/32 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1219*S[-5, -1, Infinity] + 
       100*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-1288960*S[-7, -1, Infinity] - 182827*S[5, 3, Infinity] - 
     108800*S[-5, -1, -1, -1, Infinity] - 140800*S[-5, -1, 1, 1, Infinity] - 
     15360*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[2, 1, -1, -1, -1, -2, Infinity] -> 
  (233*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (14397*S[2, Infinity]^4)/11200 + 
   (-S[-1, Infinity]^2/8 - (485*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((1047*S[-1, Infinity]*S[2, Infinity])/64 + (9785*S[3, Infinity])/512)*
    S[5, Infinity] - 2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (16896*S[-7, -1, Infinity] + 1767*S[5, 3, Infinity] + 
     1024*S[-5, -1, -1, -1, Infinity] + 2752*S[-5, -1, 1, 1, Infinity])/256 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/4 - (25*S[-1, 1, 1, 1, Infinity])/
      8) + S[3, Infinity]*((-17*S[-1, Infinity]^5)/192 + 
     (143*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (1129*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (85*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-219*S[-5, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[2, 1, -1, -1, -2, 1, Infinity] -> (41*S[-1, Infinity]^8)/1680 + 
   (4293*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (7760463*S[2, Infinity]^4)/784000 + 
   ((12917*S[-1, Infinity]^2)/896 - (17299*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-651*S[-1, Infinity]^3)/16 + 
     (18729*S[-1, Infinity]*S[2, Infinity])/112 + (297407*S[3, Infinity])/
      3584)*S[5, Infinity] + (106299*S[-1, Infinity]*S[7, Infinity])/512 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((1543*S[-1, Infinity]^4)/1120 + 
     (153*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-1121*S[-1, Infinity]^5)/840 + (8891*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (168117*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (91*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5783*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/120 + 
     (27*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-2511*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (3*S[-1, Infinity]^2*(-1005*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   3*S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity] - 
     32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (3*(843680*S[-7, -1, Infinity] + 144003*S[5, 3, Infinity] + 
      105920*S[-5, -1, -1, -1, Infinity] + 64320*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/4480, S[2, 1, -1, -1, -2, -1, Infinity] -> 
  (319*S[-1, Infinity]^8)/13440 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 + (7695423*S[2, Infinity]^4)/392000 + 
   ((4409*S[-1, Infinity]^2)/896 + (49529*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-119835*S[-1, Infinity]*S[2, Infinity])/896 - 
     (232987*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((4897*S[-1, Infinity]^4)/2240 + 
     (4503*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((3833*S[-1, Infinity]^5)/6720 - 
     (1073*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (129177*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (4813*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-131*S[-1, Infinity]^6)/480 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (27*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(3149*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (3*S[-1, Infinity]^2*(499*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3*(-1561600*S[-7, -1, Infinity] - 238797*S[5, 3, Infinity] - 
      144000*S[-5, -1, -1, -1, Infinity] - 169600*S[-5, -1, 1, 1, Infinity] + 
      22400*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[2, 1, -1, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (663*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (998769*S[2, Infinity]^4)/784000 + 
   ((-173*S[-1, Infinity]^2)/1792 + (1651*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-171*S[-1, Infinity]*S[2, Infinity])/28 - 
     (59131*S[3, Infinity])/7168)*S[5, Infinity] + 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/70 - (897*S[-1, 1, 1, 1, Infinity])/
      140) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (57*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (185280*S[-7, -1, Infinity] - 112439*S[5, 3, Infinity] - 
     72960*S[-5, -1, -1, -1, Infinity] + 72960*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/448 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3919*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (55*S[-1, 1, 1, 1, 1, Infinity])/14), 
 S[2, 1, -1, -2, 1, -1, Infinity] -> (51*S[-1, Infinity]^8)/4480 - 
   (3511*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (11768927*S[2, Infinity]^4)/784000 + 
   ((-7873*S[-1, Infinity]^2)/1792 + (141079*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((961*S[-1, Infinity]^3)/32 - 
     (76551*S[-1, Infinity]*S[2, Infinity])/448 - (806377*S[3, Infinity])/
      7168)*S[5, Infinity] - (221033*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (2871*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((82*S[-1, Infinity]^4)/105 + 
     (2017*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1889*S[-1, Infinity]^5)/2240 - 
     (115*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (356309*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3201*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-91*S[-1, Infinity]^6)/480 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5189*S[-5, -1, Infinity] - 378*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-86*S[-5, 1, 1, Infinity] + 131*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-22316480*S[-7, -1, Infinity] - 3827413*S[5, 3, Infinity] - 
     2794240*S[-5, -1, -1, -1, Infinity] - 
     1936640*S[-5, -1, 1, 1, Infinity] + 161280*S[-1, 1, 1, 1, Infinity]^2 + 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[2, 1, -1, -2, -1, 1, Infinity] -> -S[-1, Infinity]^8/140 + 
   (6887*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1920803*S[2, Infinity]^4)/784000 + 
   ((-3015*S[-1, Infinity]^2)/448 - (1221*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((713*S[-1, Infinity]^3)/32 + 
     (24035*S[-1, Infinity]*S[2, Infinity])/448 + (111407*S[3, Infinity])/
      3584)*S[5, Infinity] - (882887*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (1427520*S[-7, -1, Infinity] + 219581*S[5, 3, Infinity] + 
     46080*S[-5, -1, -1, -1, Infinity] + 330240*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-1851*S[-1, Infinity]^4)/1120 - 
     (87*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-1039*S[-1, Infinity]^5)/3360 + (1147*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (5903*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (853*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-115*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((113*S[-1, Infinity]^6)/480 - 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-3275*S[-5, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-213*S[-5, 1, 1, Infinity] + 
      431*S[5, -1, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28, S[2, 1, -1, -2, -1, -1, Infinity] -> (-83*S[-1, Infinity]^8)/4480 + 
   (4429*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (14720983*S[2, Infinity]^4)/784000 + 
   ((-705*S[-1, Infinity]^2)/112 - (7281*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((83841*S[-1, Infinity]*S[2, Infinity])/448 + 
     (290057*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-4999*S[-1, Infinity]^4)/2240 - 
     (4617*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-4313*S[-1, Infinity]^5)/6720 + 
     (625*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (143967*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (5293*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-2119*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/96 - 
     (39*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-10249*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (10319040*S[-7, -1, Infinity] + 1649951*S[5, 3, Infinity] + 
     1056000*S[-5, -1, -1, -1, Infinity] + 
     1040640*S[-5, -1, 1, 1, Infinity] - 80640*S[-1, 1, 1, 1, Infinity]^2 - 
     4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[2, 1, -2, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/1152 + 
   (211*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (796267*S[2, Infinity]^4)/784000 + 
   ((673*S[-1, Infinity]^2)/448 + (2627*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 + 
     (933*S[-1, Infinity]*S[2, Infinity])/448 - (355*S[3, Infinity])/448)*
    S[5, Infinity] - (52371*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-151*S[-1, Infinity]^4)/840 + 
     (79*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-71040*S[-7, -1, Infinity] - 37711*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] + 21120*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-191*S[-1, Infinity]^5)/2240 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2441*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (83*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-2*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, 1, -2, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/1152 + 
   (419*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (5773*S[2, Infinity]^4)/14000 + ((-7*S[-1, Infinity]^2)/8 - 
     (71*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/128 + (1971*S[-1, Infinity]*S[2, Infinity])/128 + 
     (4181*S[3, Infinity])/512)*S[5, Infinity] - 
   (21*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-203*S[-1, Infinity]^4)/960 - 
     (7*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (14160*S[-7, -1, Infinity] + 3623*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] + 480*S[-5, -1, 1, 1, Infinity] + 
     320*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/320 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (309*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/480 - (9*S[-5, -1, Infinity])/2 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, 1, -2, 1, -1, 1, Infinity] -> (-379*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (9929*S[2, Infinity]^4)/16000 + 
   ((279*S[-1, Infinity]^2)/256 + (1841*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 - 
     (3069*S[-1, Infinity]*S[2, Infinity])/128 - (16981*S[3, Infinity])/1024)*
    S[5, Infinity] + (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (41*S[2, Infinity]*S[-5, -1, Infinity])/8 + 
   (-159040*S[-7, -1, Infinity] - 41893*S[5, 3, Infinity] - 
     39680*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity])/
    5120 + S[2, Infinity]^2*(-S[-1, Infinity]^4/240 + 
     S[-1, 1, 1, 1, Infinity]/10) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/40 - (19*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (4983*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     9*S[-1, 1, 1, 1, 1, Infinity]), S[2, 1, -2, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/128 - (1763*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1174571*S[2, Infinity]^4)/392000 + 
   ((729*S[-1, Infinity]^2)/256 + (6427*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 - 
     (2331*S[-1, Infinity]*S[2, Infinity])/128 - (31337*S[3, Infinity])/7168)*
    S[5, Infinity] + (42321*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (15*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-185*S[-1, Infinity]^4)/672 - 
     (65*S[-1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-32960*S[-7, -1, Infinity] - 115117*S[5, 3, Infinity] - 
     213760*S[-5, -1, -1, -1, Infinity] + 186880*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((893*S[-1, Infinity]^5)/6720 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (775*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (79*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/20 - (125*S[-5, -1, Infinity])/14 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, 1, -2, -1, 1, 1, Infinity] -> (743*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (126523*S[2, Infinity]^4)/392000 + 
   ((-1305*S[-1, Infinity]^2)/1792 - (9683*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((435*S[-1, Infinity]*S[2, Infinity])/28 + 
     (119745*S[3, Infinity])/7168)*S[5, Infinity] - 
   (145*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (55*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   (516160*S[-7, -1, Infinity] + 302061*S[5, 3, Infinity] + 
     185600*S[-5, -1, -1, -1, Infinity] - 51200*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/210 + 
     (52*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/70 + (145*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (26547*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, -2, -1, 1, -1, Infinity] -> 
  (3139*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (285253*S[2, Infinity]^4)/196000 + 
   ((25*S[-1, Infinity]^2)/1792 - (11215*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/128 + 
     (14291*S[-1, Infinity]*S[2, Infinity])/896 + (185267*S[3, Infinity])/
      7168)*S[5, Infinity] - (10425*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (411*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(38*S[-5, 1, 1, Infinity] - 67*S[5, -1, -1, Infinity]))/
    28 + (1215680*S[-7, -1, Infinity] + 402607*S[5, 3, Infinity] + 
     428800*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/672 + 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*
    ((-331*S[-1, Infinity]^5)/3360 + (331*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (46217*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (331*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-865*S[-5, -1, Infinity] + 756*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, -2, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/128 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (460879*S[2, Infinity]^4)/
    156800 + ((3*S[-1, Infinity]^2)/112 + (3445*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 + 
     (1623*S[-1, Infinity]*S[2, Infinity])/896 + (4187*S[3, Infinity])/3584)*
    S[5, Infinity] - (198255*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (109*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/
    28 - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/3360 + 
     (673*S[-1, 1, 1, 1, Infinity])/140) + 
   (-59072*S[-7, -1, Infinity] - 7507*S[5, 3, Infinity] + 
     13568*S[-5, -1, -1, -1, Infinity] - 21632*S[-5, -1, 1, 1, Infinity] + 
     16128*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-551*S[-1, Infinity]^5)/3360 + 
     (367*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (15761*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (367*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/160 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (191*S[-5, -1, Infinity] + 126*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, -2, -1, -1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (87587*S[2, Infinity]^4)/
    196000 + ((-321*S[-1, Infinity]^2)/112 - (3467*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((7617*S[-1, Infinity]*S[2, Infinity])/448 + 
     (29305*S[3, Infinity])/1792)*S[5, Infinity] - 
   (97*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (20680*S[-7, -1, Infinity] + 18593*S[5, 3, Infinity] + 
     16160*S[-5, -1, -1, -1, Infinity] - 7760*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-1357*S[-1, Infinity]^4)/3360 + 
     (97*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-67*S[-1, Infinity]^5)/6720 - (167*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (7979*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (67*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 + (97*S[-5, -1, Infinity])/14 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, -1, 2, 1, 1, 1, Infinity] -> (109*S[-1, Infinity]^8)/8064 + 
   (1863*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (336527*S[2, Infinity]^4)/784000 + 
   ((1837*S[-1, Infinity]^2)/896 - (83*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/96 + 
     (14059*S[-1, Infinity]*S[2, Infinity])/448 + (39351*S[3, Infinity])/
      1792)*S[5, Infinity] - (294347*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/6720 + 
     (1913*S[-1, 1, 1, 1, Infinity])/280) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-601*S[-1, Infinity]^5)/1680 + 
     (221*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (7947*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-151*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (295*S[-5, -1, Infinity] - 273*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-79*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-23*S[-5, 1, 1, Infinity] + 194*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-204320*S[-7, -1, Infinity] - 20421*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] - 21440*S[-5, -1, 1, 1, Infinity] + 
     42560*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[2, -1, 2, 1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/3360 + (1987*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (3796589*S[2, Infinity]^4)/784000 + 
   ((255*S[-1, Infinity]^2)/896 - (15601*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1271*S[-1, Infinity]^3)/384 + 
     (32371*S[-1, Infinity]*S[2, Infinity])/448 + (10047*S[3, Infinity])/
      1792)*S[5, Infinity] + S[2, Infinity]^2*
    ((-1153*S[-1, Infinity]^4)/2240 - (69*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-479*S[-1, Infinity]^5)/1680 + 
     (479*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (13273*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (479*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-95*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((121*S[-1, Infinity]^6)/1440 - 
     (23*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     20*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1525*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (217500*S[-7, -1, Infinity] + 30763*S[5, 3, Infinity] + 
     20320*S[-5, -1, -1, -1, Infinity] + 18320*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2 - 134400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[2, -1, 2, 1, -1, 1, Infinity] -> 
  (3*S[-1, Infinity]^8)/560 - (551*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (525053*S[2, Infinity]^4)/196000 + 
   ((2313*S[-1, Infinity]^2)/448 + (15745*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1271*S[-1, Infinity]^3)/384 - 
     (106115*S[-1, Infinity]*S[2, Infinity])/896 - (114757*S[3, Infinity])/
      3584)*S[5, Infinity] + (257*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-1709*S[-1, Infinity]^4)/3360 + 
     (547*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/280 - 
     (3763*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (86449*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (326*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((289*S[-1, Infinity]^6)/1440 + (1199*S[-5, -1, Infinity])/
      28 - (23*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (-4401280*S[-7, -1, Infinity] - 745459*S[5, 3, Infinity] - 
     657920*S[-5, -1, -1, -1, Infinity] - 175360*S[-5, -1, 1, 1, Infinity] + 
     2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[2, -1, 2, 1, -1, -1, Infinity] -> (43*S[-1, Infinity]^8)/10080 - 
   (2031*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (472223*S[2, Infinity]^4)/78400 + 
   ((439*S[-1, Infinity]^2)/112 + (68303*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2573*S[-1, Infinity]^3)/192 - 
     (94425*S[-1, Infinity]*S[2, Infinity])/448 - (28237*S[3, Infinity])/448)*
    S[5, Infinity] - (201337*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (1245*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((69*S[-1, Infinity]^4)/224 + 
     (268*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((5807*S[-1, Infinity]^5)/6720 - (2463*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (171743*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (669*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(3373*S[-5, -1, Infinity] - 756*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (S[-1, Infinity]*(-157*S[-5, 1, 1, Infinity] + 
      326*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-1157824*S[-7, -1, Infinity] - 190013*S[5, 3, Infinity] - 
     139264*S[-5, -1, -1, -1, Infinity] - 90112*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 + 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[2, -1, 2, -1, 1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/896 - (3517*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (160551*S[2, Infinity]^4)/15680 + 
   ((153*S[-1, Infinity]^2)/224 - (339*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-2913*S[-1, Infinity]*S[2, Infinity])/112 + 
     (52721*S[3, Infinity])/3584)*S[5, Infinity] + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-5993*S[-1, Infinity]^4)/6720 - 
     (529*S[-1, 1, 1, 1, Infinity])/56) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/560 - 
     (1535*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (949*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (241*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((353*S[-1, Infinity]^6)/1440 - (1567*S[-5, -1, Infinity])/
      28 - (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (316096*S[-7, -1, Infinity] + 28513*S[5, 3, Infinity] - 
     17408*S[-5, -1, -1, -1, Infinity] + 83712*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[2, -1, 2, -1, 1, -1, Infinity] -> 
  (-211*S[-1, Infinity]^8)/10080 - (3239*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (269599*S[2, Infinity]^4)/49000 + 
   ((11*S[-1, Infinity]^2)/14 + (35053*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1147*S[-1, Infinity]^3)/128 - 
     (94541*S[-1, Infinity]*S[2, Infinity])/896 + (1703*S[3, Infinity])/896)*
    S[5, Infinity] - (579421*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (123*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-949*S[-1, Infinity]^4)/1680 - 
     (103*S[-1, 1, 1, 1, Infinity])/35) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((115*S[-1, Infinity]^5)/336 - 
     (153*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (57663*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (165*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/80 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 30*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (331*S[-5, -1, Infinity] + 
       1260*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-76*S[-5, 1, 1, Infinity] + 183*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-61070*S[-7, -1, Infinity] - 10067*S[5, 3, Infinity] - 
     8320*S[-5, -1, -1, -1, Infinity] - 2600*S[-5, -1, 1, 1, Infinity] - 
     1680*S[-1, 1, 1, 1, Infinity]^2 + 33600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/280, S[2, -1, 2, -1, -1, 1, Infinity] -> 
  (31*S[-1, Infinity]^8)/10080 + (7621*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (666677*S[2, Infinity]^4)/392000 + 
   ((-199*S[-1, Infinity]^2)/32 - (8011*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((1953*S[-1, Infinity]^3)/128 + 
     (21077*S[-1, Infinity]*S[2, Infinity])/128 + (63757*S[3, Infinity])/896)*
    S[5, Infinity] - (780445*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-1471*S[-1, Infinity]^4)/840 + 
     (148*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-8377*S[-1, Infinity]^5)/6720 + (2181*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (4801*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (131*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (474*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (3*S[-1, Infinity]^2*(37*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/480 + 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3611*S[-5, -1, Infinity] + 1680*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-58*S[-5, 1, 1, Infinity] + 383*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (389560*S[-7, -1, Infinity] + 68087*S[5, 3, Infinity] + 
     50560*S[-5, -1, -1, -1, Infinity] + 33440*S[-5, -1, 1, 1, Infinity] + 
     15680*S[-1, 1, 1, 1, Infinity]^2 - 134400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[2, -1, 2, -1, -1, -1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/1440 + (6851*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (5895823*S[2, Infinity]^4)/392000 + 
   ((-1947*S[-1, Infinity]^2)/224 - (18875*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((57111*S[-1, Infinity]*S[2, Infinity])/224 + 
     (195057*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((-2893*S[-1, Infinity]^4)/1680 - 
     (141*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/28 + 
     (419*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (101593*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (880*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-1339*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/360 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-5459*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (6109120*S[-7, -1, Infinity] + 1015551*S[5, 3, Infinity] + 
     727040*S[-5, -1, -1, -1, Infinity] + 527360*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 2508800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, -1, 1, 2, 1, 1, Infinity] -> 
  (-121*S[-1, Infinity]^8)/8064 - (1623*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (44353*S[2, Infinity]^4)/24500 + 
   ((-4295*S[-1, Infinity]^2)/1792 - (8205*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-4681*S[-1, Infinity]^3)/384 - 
     (12821*S[-1, Infinity]*S[2, Infinity])/896 - (39671*S[3, Infinity])/
      3584)*S[5, Infinity] + (429853*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-773*S[-1, Infinity]^4)/6720 - 
     (2097*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((477*S[-1, Infinity]^5)/1120 - 
     (513*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (269*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (39*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/36 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(68*S[-5, -1, Infinity] - 63*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-107*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 181*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1865280*S[-7, -1, Infinity] + 273317*S[5, 3, Infinity] + 
     204800*S[-5, -1, -1, -1, Infinity] + 99840*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, 1, 2, 1, -1, Infinity] -> 
  (137*S[-1, Infinity]^8)/20160 - (3991*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (8318351*S[2, Infinity]^4)/784000 + 
   ((8961*S[-1, Infinity]^2)/1792 + (65089*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/384 - 
     (3127*S[-1, Infinity]*S[2, Infinity])/28 - (133319*S[3, Infinity])/3584)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1499*S[-1, Infinity]^4)/6720 + 
     (3023*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((207*S[-1, Infinity]^5)/2240 - 
     (471*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (76311*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1413*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/180 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(1523*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(1159*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-5372800*S[-7, -1, Infinity] - 878167*S[5, 3, Infinity] - 
     602880*S[-5, -1, -1, -1, Infinity] - 436480*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, 1, 2, -1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/3360 + (4533*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (2991481*S[2, Infinity]^4)/784000 + 
   ((-297*S[-1, Infinity]^2)/224 - (6225*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/384 + 
     (95939*S[-1, Infinity]*S[2, Infinity])/896 - (2997*S[3, Infinity])/1792)*
    S[5, Infinity] - (475*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/70 + 
     (607*S[-1, 1, 1, 1, Infinity])/140) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-311*S[-1, Infinity]^5)/560 + 
     (867*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (19071*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (99*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-253*S[-1, Infinity]^6)/1440 - (190*S[-5, -1, Infinity])/
      7 + (19*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (847680*S[-7, -1, Infinity] + 160087*S[5, 3, Infinity] + 
     152000*S[-5, -1, -1, -1, Infinity] + 18240*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[2, -1, 1, 2, -1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/560 + (18453*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (84061*S[2, Infinity]^4)/14000 + 
   ((-129*S[-1, Infinity]^2)/14 - (14337*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-10633*S[-1, Infinity]^3)/384 + 
     (252883*S[-1, Infinity]*S[2, Infinity])/896 + (6471*S[3, Infinity])/64)*
    S[5, Infinity] + (1308425*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (1783*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/160 - 
     (68*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/160 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (44137*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     111*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-17*S[-1, Infinity]^6)/720 + (7*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1733*S[-5, -1, Infinity] + 
       324*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(159*S[-5, 1, 1, Infinity] - 653*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1061120*S[-7, -1, Infinity] + 187823*S[5, 3, Infinity] + 
     148480*S[-5, -1, -1, -1, Infinity] + 72960*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2 - 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[2, -1, 1, 1, 2, 1, Infinity] -> 
  (127*S[-1, Infinity]^8)/40320 - (419*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4521661*S[2, Infinity]^4)/784000 + 
   ((-3893*S[-1, Infinity]^2)/1792 + (14009*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 + 
     (215*S[-1, Infinity]*S[2, Infinity])/224 - (7255*S[3, Infinity])/896)*
    S[5, Infinity] - (49199*S[-1, Infinity]*S[7, Infinity])/896 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/2240 + 
     (1201*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((15*S[-1, Infinity]^5)/448 - 
     (211*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (15977*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (515*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/360 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (963*S[-5, -1, Infinity] - 364*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(199*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-904640*S[-7, -1, Infinity] - 118371*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 103680*S[-5, -1, 1, 1, Infinity] + 
     22400*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, -1, 1, 1, 2, -1, Infinity] -> 
  (-71*S[-1, Infinity]^8)/10080 + (221*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (251267*S[2, Infinity]^4)/78400 + 
   ((-9983*S[-1, Infinity]^2)/1792 - (39539*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((33687*S[-1, Infinity]*S[2, Infinity])/448 + 
     (34689*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-109*S[-1, Infinity]^4)/224 - 
     (829*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((423*S[-1, Infinity]^5)/2240 + 
     (475*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (35459*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (61*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (433*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-543*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((227*S[-1, Infinity]^6)/1440 - 
     (25*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1293*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (508736*S[-7, -1, Infinity] + 94047*S[5, 3, Infinity] + 
     73984*S[-5, -1, -1, -1, Infinity] + 19200*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[2, -1, 1, 1, 1, 2, Infinity] -> 
  (-43*S[-1, Infinity]^8)/13440 - (459*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (2304279*S[2, Infinity]^4)/784000 + 
   ((-87*S[-1, Infinity]^2)/56 - (5207*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/128 + 
     (4937*S[-1, Infinity]*S[2, Infinity])/896 + (1121*S[3, Infinity])/3584)*
    S[5, Infinity] + (5183*S[-1, Infinity]*S[7, Infinity])/896 + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-265*S[-1, Infinity]^4)/1344 - 
     (467*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((781*S[-1, Infinity]^5)/6720 - 
     (33*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (2901*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (117*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/480 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-83*S[-5, -1, Infinity] + 
       77*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-57*S[-5, 1, 1, Infinity] - 22*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (578240*S[-7, -1, Infinity] + 74773*S[5, 3, Infinity] + 
     40960*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, 1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/1152 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (47311*S[2, Infinity]^4)/56000 + ((231*S[-1, Infinity]^2)/128 + 
     (507*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-539*S[-1, Infinity]*S[2, Infinity])/32 - (1743*S[3, Infinity])/512)*
    S[5, Infinity] + (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/960 + 
     (23*S[-1, 1, 1, 1, Infinity])/20) + 
   (-26240*S[-7, -1, Infinity] - 7041*S[5, 3, Infinity] - 
     8960*S[-5, -1, -1, -1, Infinity] + 4480*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/960 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (81*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-25*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[2, -1, 1, 1, -1, 2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (3889*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (291461*S[2, Infinity]^4)/78400 + ((-1299*S[-1, Infinity]^2)/896 + 
     (695*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-2451*S[-1, Infinity]*S[2, Infinity])/112 + (6525*S[3, Infinity])/896)*
    S[5, Infinity] + (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/140 - 
     (801*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-23680*S[-7, -1, Infinity] - 3363*S[5, 3, Infinity] - 
     4352*S[-5, -1, -1, -1, Infinity] - 128*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((911*S[-1, Infinity]^5)/3360 - 
     (33*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (19771*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (S[-1, Infinity]^6/30 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(27*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[2, -1, 1, 1, -1, -2, Infinity] -> (-47*S[-1, Infinity]^8)/10080 - 
   (153*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (1343791*S[2, Infinity]^4)/
    196000 + ((4065*S[-1, Infinity]^2)/1792 + (605*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (3457*S[-1, Infinity]*S[2, Infinity])/448 - (47051*S[3, Infinity])/7168)*
    S[5, Infinity] - (109617*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (169*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/3360 - 
     (309*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-115*S[-1, Infinity]^5)/1344 + 
     (1205*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (41799*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (275*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(143*S[-5, -1, Infinity] - 
        49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (S[-1, Infinity]*(48*S[-5, 1, 1, Infinity] + 83*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2720320*S[-7, -1, Infinity] + 186001*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] + 369920*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -1, 1, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/576 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (261937*S[2, Infinity]^4)/98000 + ((3189*S[-1, Infinity]^2)/1792 + 
     (8503*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-2271*S[-1, Infinity]*S[2, Infinity])/112 + (20499*S[3, Infinity])/7168)*
    S[5, Infinity] + (191*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-433*S[-1, Infinity]^4)/1680 - 
     (46*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-370880*S[-7, -1, Infinity] - 141921*S[5, 3, Infinity] - 
     244480*S[-5, -1, -1, -1, Infinity] + 190720*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/2240 - 
     (377*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (21487*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (137*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 - (277*S[-5, -1, Infinity])/
      28 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, -1, 1, 1, -2, -1, Infinity] -> S[-1, Infinity]^8/420 - 
   (6417*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (101753*S[2, Infinity]^4)/49000 + ((4195*S[-1, Infinity]^2)/1792 + 
     (1205*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/16 - (1727*S[-1, Infinity]*S[2, Infinity])/14 - 
     (130541*S[3, Infinity])/7168)*S[5, Infinity] - 
   (130243*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (1457*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/70 + (701*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((121*S[-1, Infinity]^5)/420 - 
     (87*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (183577*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (312*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4603*S[-5, -1, Infinity] - 924*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-53*S[-5, 1, 1, Infinity] + 87*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-12384320*S[-7, -1, Infinity] - 2039417*S[5, 3, Infinity] - 
     1593600*S[-5, -1, -1, -1, Infinity] - 789760*S[-5, -1, 1, 1, Infinity] + 
     5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[2, -1, 1, -1, 2, 1, Infinity] -> (-7*S[-1, Infinity]^8)/1152 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (161*S[2, Infinity]^4)/3200 + 
   ((-21*S[-1, Infinity]^2)/64 - (21*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-255*S[-1, Infinity]*S[2, Infinity])/128 - (85*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]^2*((647*S[-1, Infinity]^4)/960 - 
     (77*S[-1, 1, 1, 1, Infinity])/40) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (7*S[-1, 1, 1, 1, Infinity]^2)/2 + S[3, Infinity]*
    ((113*S[-1, Infinity]^5)/960 + (59*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (155*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-23*S[-1, Infinity]^6)/240 + (7*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, 1, -1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/72 - (1699*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (287*S[2, Infinity]^4)/160 + ((-3387*S[-1, Infinity]^2)/448 - 
     (537*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/32 - (9033*S[-1, Infinity]*S[2, Infinity])/896 - 
     (85*S[3, Infinity])/256)*S[5, Infinity] + 
   (125067*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/48 - 
     8*S[-1, 1, 1, 1, Infinity]) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   8*S[-1, 1, 1, 1, Infinity]^2 + S[3, Infinity]*
    ((107*S[-1, Infinity]^5)/240 - (197*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (8681*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((5*S[-1, Infinity]^6)/48 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     9*(S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])), 
 S[2, -1, 1, -1, 1, 2, Infinity] -> -S[-1, Infinity]^8/1152 + 
   (1579*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (195051*S[2, Infinity]^4)/156800 + 
   ((-213*S[-1, Infinity]^2)/896 - (1117*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((13497*S[-1, Infinity]*S[2, Infinity])/896 + 
     (36403*S[3, Infinity])/3584)*S[5, Infinity] - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-1213*S[-1, Infinity]^4)/2240 - 
     (981*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (135936*S[-7, -1, Infinity] + 13753*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] - 
     1792*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-121*S[-1, Infinity]^5)/6720 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (9971*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (107*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/240 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-131*S[-5, -1, Infinity] - 
        84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[2, -1, 1, -1, 1, -2, Infinity] -> (41*S[-1, Infinity]^8)/5040 + 
   (149*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (710569*S[2, Infinity]^4)/196000 + 
   ((6407*S[-1, Infinity]^2)/1792 + (29867*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (29055*S[-1, Infinity]*S[2, Infinity])/896 - (29859*S[3, Infinity])/
      7168)*S[5, Infinity] - (281531*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (407*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((367*S[-1, Infinity]^4)/1120 + 
     (901*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/1120 - 
     (93*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (11731*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (327*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/90 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2225*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] + 95*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-5352640*S[-7, -1, Infinity] - 781539*S[5, 3, Infinity] - 
     584960*S[-5, -1, -1, -1, Infinity] - 436480*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -1, 1, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/560 - (2539*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (10649833*S[2, Infinity]^4)/784000 + 
   ((-7293*S[-1, Infinity]^2)/896 + (3625*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((651*S[-1, Infinity]^3)/128 - 
     (31113*S[-1, Infinity]*S[2, Infinity])/896 - (163073*S[3, Infinity])/
      3584)*S[5, Infinity] + (21921*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (431*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((1241*S[-1, Infinity]^4)/6720 + 
     (323*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((3937*S[-1, Infinity]^5)/6720 - (437*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (65759*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1601*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/480 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(211*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-3949440*S[-7, -1, Infinity] - 540301*S[5, 3, Infinity] - 
     229120*S[-5, -1, -1, -1, Infinity] - 550400*S[-5, -1, 1, 1, Infinity] + 
     2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[2, -1, 1, -1, -1, -2, Infinity] -> S[-1, Infinity]^8/384 + 
   (3209*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1135511*S[2, Infinity]^4)/784000 + 
   ((129*S[-1, Infinity]^2)/112 - (979*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((4119*S[-1, Infinity]*S[2, Infinity])/448 + 
     (58699*S[3, Infinity])/3584)*S[5, Infinity] - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-481*S[-1, Infinity]^4)/672 + 
     (17*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (731520*S[-7, -1, Infinity] + 107747*S[5, 3, Infinity] + 
     20480*S[-5, -1, -1, -1, Infinity] + 154240*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-761*S[-1, Infinity]^5)/6720 + 
     (467*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1189*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (761*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/160 - (1335*S[-5, -1, Infinity])/
      56 - (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, -1, 1, -1, -2, 1, Infinity] -> S[-1, Infinity]^8/72 + 
   (7247*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (6673*S[2, Infinity]^4)/56000 + ((8283*S[-1, Infinity]^2)/1792 - 
     (5697*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-279*S[-1, Infinity]^3)/32 + (23955*S[-1, Infinity]*S[2, Infinity])/
      448 + (21737*S[3, Infinity])/512)*S[5, Infinity] + 
   (43851*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (381*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (9*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/96 + (13*S[-1, 1, 1, 1, Infinity])/
      2) + (267840*S[-7, -1, Infinity] + 60813*S[5, 3, Infinity] + 
     49920*S[-5, -1, -1, -1, Infinity] + 19200*S[-5, -1, 1, 1, Infinity] + 
     20480*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-569*S[-1, Infinity]^5)/960 + 
     (401*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (48061*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (149*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/480 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(-61*S[-5, -1, Infinity] - 
        36*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[2, -1, 1, -1, -2, -1, Infinity] -> S[-1, Infinity]^8/72 + 
   (1387*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (653549*S[2, Infinity]^4)/78400 + ((3693*S[-1, Infinity]^2)/1792 + 
     (4653*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((13155*S[-1, Infinity]*S[2, Infinity])/448 - (36019*S[3, Infinity])/896)*
    S[5, Infinity] - (12*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/840 + 
     (367*S[-1, 1, 1, 1, Infinity])/35) + 
   (-24672*S[-7, -1, Infinity] - 3915*S[5, 3, Infinity] + 
     3072*S[-5, -1, -1, -1, Infinity] - 11136*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-1751*S[-1, Infinity]^5)/6720 + 
     (949*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2687*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (1189*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 + (411*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 15*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, 1, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 + (81*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (482547*S[2, Infinity]^4)/784000 + 
   ((-2571*S[-1, Infinity]^2)/1792 - (4395*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((3261*S[-1, Infinity]*S[2, Infinity])/448 + 
     (24859*S[3, Infinity])/7168)*S[5, Infinity] - 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-199*S[-1, Infinity]^4)/2240 - 
     (453*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-239040*S[-7, -1, Infinity] + 17407*S[5, 3, Infinity] + 
     72960*S[-5, -1, -1, -1, Infinity] - 72960*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((613*S[-1, Infinity]^5)/6720 - 
     (319*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (12157*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (61*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 + (57*S[-5, -1, Infinity])/14 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, -1, 1, -2, 1, -1, Infinity] -> -S[-1, Infinity]^8/280 + 
   (1841*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (13582187*S[2, Infinity]^4)/784000 + 
   ((1209*S[-1, Infinity]^2)/256 - (132781*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]^3)/32 + 
     (2693*S[-1, Infinity]*S[2, Infinity])/16 + (739687*S[3, Infinity])/7168)*
    S[5, Infinity] + (748135*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (365*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/84 - (1531*S[-1, 1, 1, 1, Infinity])/
      140) + S[3, Infinity]*((-103*S[-1, Infinity]^5)/112 + 
     (2501*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (46553*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (1545*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 - (9631*S[-5, -1, Infinity])/56 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(321*S[-5, 1, 1, Infinity] - 379*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (21081920*S[-7, -1, Infinity] + 3499723*S[5, 3, Infinity] + 
     2448640*S[-5, -1, -1, -1, Infinity] + 
     1959680*S[-5, -1, 1, 1, Infinity] - 8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -1, 1, -2, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/2520 - (5223*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (448607*S[2, Infinity]^4)/56000 + 
   ((10071*S[-1, Infinity]^2)/896 + (3659*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/32 - 
     (60125*S[-1, Infinity]*S[2, Infinity])/448 - (9817*S[3, Infinity])/256)*
    S[5, Infinity] + (160469*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((71*S[-1, Infinity]^4)/80 - 
     (69*S[-1, 1, 1, 1, Infinity])/10) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-380480*S[-7, -1, Infinity] - 88277*S[5, 3, Infinity] - 
     85760*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] - 
     20480*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((183*S[-1, Infinity]^5)/320 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (4339*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (129*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/160 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(25*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (3*S[-1, Infinity]^2*(305*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(51*S[-5, 1, 1, Infinity] - 68*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7, 
 S[2, -1, 1, -2, -1, -1, Infinity] -> -S[-1, Infinity]^8/315 - 
   (3267*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (5109253*S[2, Infinity]^4)/784000 + 
   ((2355*S[-1, Infinity]^2)/448 + (34435*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-229371*S[-1, Infinity]*S[2, Infinity])/896 - 
     (265859*S[3, Infinity])/3584)*S[5, Infinity] + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((33*S[-1, Infinity]^4)/56 + 
     (81*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((557*S[-1, Infinity]^5)/448 - (3275*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (195537*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (5415*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/10 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 15*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (9041*S[-5, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(877*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-2724320*S[-7, -1, Infinity] - 461099*S[5, 3, Infinity] - 
     359360*S[-5, -1, -1, -1, Infinity] - 205120*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[2, -1, -1, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/384 + (3841*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (458593*S[2, Infinity]^4)/392000 + 
   ((-9*S[-1, Infinity]^2)/112 - (41*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((3237*S[-1, Infinity]*S[2, Infinity])/896 + (3431*S[3, Infinity])/224)*
    S[5, Infinity] - (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-5597*S[-1, Infinity]^4)/6720 + 
     (2027*S[-1, 1, 1, 1, Infinity])/280) + 
   (-135200*S[-7, -1, Infinity] - 421*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/168 - 
     (221*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (257*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (55*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/160 + (8*S[-5, -1, Infinity])/7 - 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -1, 2, 1, -1, Infinity] -> (-271*S[-1, Infinity]^8)/13440 + 
   (20329*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (7263913*S[2, Infinity]^4)/196000 + 
   ((747*S[-1, Infinity]^2)/112 - (129373*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2821*S[-1, Infinity]^3)/64 + 
     (292757*S[-1, Infinity]*S[2, Infinity])/896 + (356231*S[3, Infinity])/
      1792)*S[5, Infinity] + (199597*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (2423*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-16727*S[-1, Infinity]^4)/6720 - 
     (8137*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-1807*S[-1, Infinity]^5)/1120 + 
     (1611*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (322541*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1539*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((121*S[-1, Infinity]^6)/240 - 
     (51*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-19025*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 101*S[5, -1, -1, Infinity] - 
      384*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (5207600*S[-7, -1, Infinity] + 855991*S[5, 3, Infinity] + 
     593920*S[-5, -1, -1, -1, Infinity] + 488000*S[-5, -1, 1, 1, Infinity] - 
     33600*S[-1, 1, 1, 1, Infinity]^2 - 2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[2, -1, -1, 2, -1, 1, Infinity] -> 
  (37*S[-1, Infinity]^8)/5040 - (989*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (252121*S[2, Infinity]^4)/28000 + 
   ((2979*S[-1, Infinity]^2)/112 + (1655*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-3317*S[-1, Infinity]^3)/64 - 
     (57571*S[-1, Infinity]*S[2, Infinity])/448 - (905*S[3, Infinity])/32)*
    S[5, Infinity] + (25969*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((253*S[-1, Infinity]^4)/120 - 
     (53*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-14080*S[-7, -1, Infinity] - 3427*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*((129*S[-1, Infinity]^5)/320 - 
     (171*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (61163*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     9*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/160 + 37*S[-5, -1, Infinity] - 
     (23*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     39*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(321*S[-5, 1, 1, Infinity] - 428*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[2, -1, -1, 2, -1, -1, Infinity] -> (899*S[-1, Infinity]^8)/40320 - 
   (3049*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (611943*S[2, Infinity]^4)/22400 + 
   ((33*S[-1, Infinity]^2)/2 + (1271*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-14223*S[-1, Infinity]*S[2, Infinity])/32 - (55021*S[3, Infinity])/256)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((2867*S[-1, Infinity]^4)/960 + 
     (907*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/10 - 19*S[-1, Infinity]^3*S[2, Infinity] - 
     (3363*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     228*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-29*S[-1, Infinity]^6)/160 - (5*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(497*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   S[-1, Infinity]^2*(89*S[-5, -1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (-323968*S[-7, -1, Infinity] - 54409*S[5, 3, Infinity] - 
     38912*S[-5, -1, -1, -1, Infinity] - 29056*S[-5, -1, 1, 1, Infinity] + 
     128*S[-1, 1, 1, 1, Infinity]^2 + 122880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[2, -1, -1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 + (1217*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (398771*S[2, Infinity]^4)/98000 + 
   ((-99*S[-1, Infinity]^2)/112 - (325*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((16413*S[-1, Infinity]*S[2, Infinity])/896 - 
     (4567*S[3, Infinity])/1792)*S[5, Infinity] - 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((925*S[-1, Infinity]^4)/1344 + 
     (125*S[-1, 1, 1, 1, Infinity])/56) + 
   (-44200*S[-7, -1, Infinity] + 10793*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] - 24160*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/1680 + 
     (1333*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4729*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-21*S[-1, Infinity]^6)/160 + (667*S[-5, -1, Infinity])/
      28 + (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -1, 1, 2, -1, Infinity] -> (61*S[-1, Infinity]^8)/13440 - 
   (303*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (865659*S[2, Infinity]^4)/
    28000 + ((-249*S[-1, Infinity]^2)/28 + (9351*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((1209*S[-1, Infinity]^3)/32 - 
     (309369*S[-1, Infinity]*S[2, Infinity])/896 - (52763*S[3, Infinity])/
      256)*S[5, Infinity] - (1248747*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (2463*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((839*S[-1, Infinity]^4)/320 + 
     (195*S[-1, 1, 1, 1, Infinity])/8) + S[3, Infinity]*
    ((241*S[-1, Infinity]^5)/120 - (829*S[-1, Infinity]^3*S[2, Infinity])/
      48 - (89197*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     241*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-73*S[-1, Infinity]^6)/240 + (15*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(248*S[-5, -1, Infinity] - 9*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) + 
   (3*S[-1, Infinity]*(205*S[-5, 1, 1, Infinity] - 
      159*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 - (3*(263760*S[-7, -1, Infinity] + 42001*S[5, 3, Infinity] + 
      28160*S[-5, -1, -1, -1, Infinity] + 25920*S[-5, -1, 1, 1, Infinity] + 
      320*S[-1, 1, 1, 1, Infinity]^2 - 102400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/640, S[2, -1, -1, 1, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/1152 - (263*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (903417*S[2, Infinity]^4)/392000 + 
   ((621*S[-1, Infinity]^2)/448 + (4999*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-13269*S[-1, Infinity]*S[2, Infinity])/448 - 
     (16995*S[3, Infinity])/896)*S[5, Infinity] + 
   (69*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/6720 + 
     (1093*S[-1, 1, 1, 1, Infinity])/280) + 
   (-337360*S[-7, -1, Infinity] - 66487*S[5, 3, Infinity] - 
     44160*S[-5, -1, -1, -1, Infinity] - 25280*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((151*S[-1, Infinity]^5)/1680 - 
     (277*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (11149*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (151*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/480 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (263*S[-5, -1, Infinity] + 126*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[2, -1, -1, 1, 1, -2, Infinity] -> (-69*S[-1, Infinity]^8)/4480 - 
   (3671*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (3038717*S[2, Infinity]^4)/196000 + 
   ((-629*S[-1, Infinity]^2)/112 - (6831*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (13983*S[-1, Infinity]*S[2, Infinity])/224 + (22367*S[3, Infinity])/896)*
    S[5, Infinity] + (325531*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (325*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-5371*S[-1, Infinity]^4)/6720 - 
     (3687*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((323*S[-1, Infinity]^5)/1680 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (54977*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (657*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((329*S[-1, Infinity]^6)/1440 - 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3811*S[-5, -1, Infinity] - 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] - 155*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1199600*S[-7, -1, Infinity] + 182719*S[5, 3, Infinity] + 
     117760*S[-5, -1, -1, -1, Infinity] + 104000*S[-5, -1, 1, 1, Infinity] - 
     33600*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[2, -1, -1, 1, -1, 2, Infinity] -> 
  (139*S[-1, Infinity]^8)/20160 + (2249*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (4078149*S[2, Infinity]^4)/392000 + 
   ((7677*S[-1, Infinity]^2)/896 - (1389*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-651*S[-1, Infinity]^3)/128 + 
     (63549*S[-1, Infinity]*S[2, Infinity])/896 + (139813*S[3, Infinity])/
      3584)*S[5, Infinity] - (21921*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (519*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((213*S[-1, Infinity]^4)/448 - 
     (451*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-2971*S[-1, Infinity]^5)/3360 + 
     (3013*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (41777*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1501*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/120 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1027*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (4236480*S[-7, -1, Infinity] + 576511*S[5, 3, Infinity] + 
     341760*S[-5, -1, -1, -1, Infinity] + 491520*S[-5, -1, 1, 1, Infinity] + 
     89600*S[-1, 1, 1, 1, Infinity]^2 - 2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, -1, 1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/576 - (5*S[-1, Infinity]^2*S[2, Infinity]^3)/4 + 
   (207321*S[2, Infinity]^4)/112000 + 
   ((243*S[-1, Infinity]^2)/256 + (2859*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-3621*S[-1, Infinity]*S[2, Infinity])/128 - 
     (27157*S[3, Infinity])/1024)*S[5, Infinity] + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/10 + 
     (113*S[-1, 1, 1, 1, Infinity])/40) + 
   (-360000*S[-7, -1, Infinity] - 51619*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[3, Infinity]*((133*S[-1, Infinity]^5)/960 - 
     (S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (6397*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (133*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/120 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (173*S[-5, -1, Infinity] + 48*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[2, -1, -1, 1, -2, 1, Infinity] -> (-47*S[-1, Infinity]^8)/3360 - 
   (3639*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1426521*S[2, Infinity]^4)/112000 + 
   ((-31503*S[-1, Infinity]^2)/1792 + (9717*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((1395*S[-1, Infinity]^3)/32 - 
     (141963*S[-1, Infinity]*S[2, Infinity])/896 - (95065*S[3, Infinity])/
      1024)*S[5, Infinity] - (1401243*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/160 + 
     (93*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/15 - (1135*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (347533*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (901*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((61*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-437*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) - 
   (3*S[-1, Infinity]^2*(-265*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*S[-1, Infinity]*(229*S[-5, 1, 1, Infinity] - 
      191*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 - (3*(1017280*S[-7, -1, Infinity] + 166473*S[5, 3, Infinity] + 
      119040*S[-5, -1, -1, -1, Infinity] + 90880*S[-5, -1, 1, 1, Infinity] + 
      10240*S[-1, 1, 1, 1, Infinity]^2 - 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/5120, S[2, -1, -1, 1, -2, -1, Infinity] -> 
  (-179*S[-1, Infinity]^8)/13440 + (5661*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (5366901*S[2, Infinity]^4)/392000 + 
   ((-11751*S[-1, Infinity]^2)/1792 - (133575*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2697*S[-1, Infinity]*S[2, Infinity])/14 + 
     (711779*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((-4127*S[-1, Infinity]^4)/2240 - 
     (3453*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-1321*S[-1, Infinity]^5)/1344 + 
     (3145*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (76525*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (6605*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/480 + 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(3597*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (3*S[-1, Infinity]^2*(351*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-7583680*S[-7, -1, Infinity] - 1209351*S[5, 3, Infinity] - 
      835840*S[-5, -1, -1, -1, Infinity] - 741120*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[2, -1, -1, -1, 2, 1, Infinity] -> 
  (-271*S[-1, Infinity]^8)/20160 - (4365*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (7409747*S[2, Infinity]^4)/392000 + 
   ((-167*S[-1, Infinity]^2)/8 + (89265*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/8 - 
     (12251*S[-1, Infinity]*S[2, Infinity])/64 - (223607*S[3, Infinity])/
      1792)*S[5, Infinity] - (1983433*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-529*S[-1, Infinity]^4)/840 + 
     (1101*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((9899*S[-1, Infinity]^5)/6720 - 
     (8933*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (15383*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (988*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(281*S[-5, -1, Infinity] + 
      64*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (12125*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-799*S[-5, 1, 1, Infinity] + 
      881*S[5, -1, -1, Infinity] + 3584*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-6959360*S[-7, -1, Infinity] - 1152159*S[5, 3, Infinity] - 
     819200*S[-5, -1, -1, -1, Infinity] - 623360*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, -1, -1, -1, 2, -1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/5040 + (531*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 - (3359021*S[2, Infinity]^4)/196000 + 
   ((-1223*S[-1, Infinity]^2)/112 - (21723*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((29439*S[-1, Infinity]*S[2, Infinity])/112 + 
     (216775*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((-7187*S[-1, Infinity]^4)/3360 - 
     (1409*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-263*S[-1, Infinity]^5)/224 + 
     (1329*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (3561*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (960*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^2*(87*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/720 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3131*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (6959360*S[-7, -1, Infinity] + 1152159*S[5, 3, Infinity] + 
     819200*S[-5, -1, -1, -1, Infinity] + 623360*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, -1, -1, -1, 1, 2, Infinity] -> 
  (23*S[-1, Infinity]^8)/2880 + (3067*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (18753459*S[2, Infinity]^4)/784000 + 
   ((11797*S[-1, Infinity]^2)/896 - (43429*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1643*S[-1, Infinity]^3)/128 + 
     (56499*S[-1, Infinity]*S[2, Infinity])/448 + (265123*S[3, Infinity])/
      3584)*S[5, Infinity] - (265*S[-1, Infinity]*S[7, Infinity])/512 - 
   (507*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-163*S[-1, Infinity]^4)/560 - 
     (709*S[-1, 1, 1, 1, Infinity])/140) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-8989*S[-1, Infinity]^5)/6720 + 
     (7771*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (19451*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (81*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (3077*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/240 + 
     (17*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-9325*S[-5, -1, Infinity] + 308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(61*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (9156480*S[-7, -1, Infinity] + 1301183*S[5, 3, Infinity] + 
     751360*S[-5, -1, -1, -1, Infinity] + 1013760*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2 - 5017600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, -1, -1, 1, -2, Infinity] -> 
  (-7*S[-1, Infinity]^8)/1152 - (373*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (81563*S[2, Infinity]^4)/156800 + 
   ((2151*S[-1, Infinity]^2)/1792 + (17415*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-3687*S[-1, Infinity]*S[2, Infinity])/112 - 
     (187301*S[3, Infinity])/7168)*S[5, Infinity] + 
   (239*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((719*S[-1, Infinity]^4)/1120 - 
     (289*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-537280*S[-7, -1, Infinity] - 96167*S[5, 3, Infinity] - 
     61184*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] - 
     25088*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[3, Infinity]*((383*S[-1, Infinity]^5)/3360 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (46363*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (661*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-77*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1599*S[-5, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -1, -1, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/128 - 
   (3599*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (477461*S[2, Infinity]^4)/784000 + 
   ((27*S[-1, Infinity]^2)/14 + (6365*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-597*S[-1, Infinity]*S[2, Infinity])/14 - (9239*S[3, Infinity])/448)*
    S[5, Infinity] + (48*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((1853*S[-1, Infinity]^4)/6720 + 
     (37*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-194560*S[-7, -1, Infinity] - 38711*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] - 
     10080*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((193*S[-1, Infinity]^5)/840 - 
     (235*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (7831*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (653*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, -1, -1, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/210 + 
   (1559*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4430451*S[2, Infinity]^4)/196000 + 
   ((37*S[-1, Infinity]^2)/28 - (61093*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (2235*S[-1, Infinity]*S[2, Infinity])/14 + (27999*S[3, Infinity])/448)*
    S[5, Infinity] + (1397*S[-1, Infinity]*S[7, Infinity])/16 - 
   (272*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-2771*S[-1, Infinity]^4)/3360 - 
     (443*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-131*S[-1, Infinity]^5)/168 + (613*S[-1, Infinity]^3*S[2, Infinity])/
      84 + (19753*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (760*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/90 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-9349*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (1359360*S[-7, -1, Infinity] + 207551*S[5, 3, Infinity] + 
     138240*S[-5, -1, -1, -1, Infinity] + 121600*S[-5, -1, 1, 1, Infinity] - 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[2, -1, -1, -1, -2, 1, Infinity] -> (-5*S[-1, Infinity]^8)/1152 + 
   (199*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (202229*S[2, Infinity]^4)/156800 + 
   ((729*S[-1, Infinity]^2)/896 + (4875*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-13431*S[-1, Infinity]*S[2, Infinity])/896 + 
     (12445*S[3, Infinity])/3584)*S[5, Infinity] + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1345*S[-1, Infinity]^4)/1344 - 
     (41*S[-1, 1, 1, 1, Infinity])/56) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-116544*S[-7, -1, Infinity] - 19569*S[5, 3, Infinity] - 
     20736*S[-5, -1, -1, -1, Infinity] - 768*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((143*S[-1, Infinity]^5)/6720 - 
     (419*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3413*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (191*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/96 + (24*S[-5, -1, Infinity])/7 - 
     (29*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, -1, -1, -1, -2, -1, Infinity] -> (13*S[-1, Infinity]^8)/5040 - 
   (33109*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1467073*S[2, Infinity]^4)/49000 + 
   ((-179*S[-1, Infinity]^2)/112 + (23957*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/8 - 
     (223619*S[-1, Infinity]*S[2, Infinity])/448 - (28079*S[3, Infinity])/
      112)*S[5, Infinity] - (2309815*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3505*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((467*S[-1, Infinity]^4)/336 + 
     (1683*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((3257*S[-1, Infinity]^5)/1344 - 
     (18259*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (58159*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1970*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(1615*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-673*S[-5, 1, 1, Infinity] + 
      1007*S[5, -1, -1, Infinity] + 3584*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-1858240*S[-7, -1, Infinity] - 311881*S[5, 3, Infinity] - 
     226560*S[-5, -1, -1, -1, Infinity] - 158720*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[2, -1, -1, -2, 1, 1, Infinity] -> 
  (5*S[-1, Infinity]^8)/4032 + (6247*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (3536823*S[2, Infinity]^4)/392000 + 
   ((16929*S[-1, Infinity]^2)/896 - (51607*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-8215*S[-1, Infinity]^3)/192 + 
     (1741*S[-1, Infinity]*S[2, Infinity])/224 + (287715*S[3, Infinity])/
      7168)*S[5, Infinity] + (97945*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/210 - 
     (577*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-4471*S[-1, Infinity]^5)/6720 + 
     (2015*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (145013*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3001*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-1285*S[-5, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-6319*S[-5, -1, Infinity] + 1932*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(42*S[-5, 1, 1, Infinity] - 49*S[5, -1, -1, Infinity] - 
      192*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (11406400*S[-7, -1, Infinity] + 1716329*S[5, 3, Infinity] + 
     1071360*S[-5, -1, -1, -1, Infinity] + 
     1168640*S[-5, -1, 1, 1, Infinity] + 107520*S[-1, 1, 1, 1, Infinity]^2 - 
     5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[2, -1, -1, -2, 1, -1, Infinity] -> S[-1, Infinity]^8/315 - 
   (14519*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3363583*S[2, Infinity]^4)/196000 + 
   ((2139*S[-1, Infinity]^2)/224 + (20935*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 - 
     (248293*S[-1, Infinity]*S[2, Infinity])/896 - (795869*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((6619*S[-1, Infinity]^4)/6720 + (737*S[-1, 1, 1, 1, Infinity])/56) + 
   S[3, Infinity]*((2333*S[-1, Infinity]^5)/2240 - 
     (2333*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (423231*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (6999*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-107*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(513*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(3257*S[-5, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-27112000*S[-7, -1, Infinity] - 4524943*S[5, 3, Infinity] - 
     3237120*S[-5, -1, -1, -1, Infinity] - 
     2318080*S[-5, -1, 1, 1, Infinity] + 11468800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -1, -1, -2, -1, 1, Infinity] -> 
  (-187*S[-1, Infinity]^8)/13440 + (139*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 - (8520899*S[2, Infinity]^4)/784000 + 
   ((-5949*S[-1, Infinity]^2)/896 - (46477*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 + 
     (111253*S[-1, Infinity]*S[2, Infinity])/896 + (270997*S[3, Infinity])/
      3584)*S[5, Infinity] - (661*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-10421*S[-1, Infinity]^4)/6720 - 
     (1353*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-759*S[-1, Infinity]^5)/1120 + 
     (1077*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (122583*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (2277*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 - (3411*S[-5, -1, Infinity])/28 + 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (7288640*S[-7, -1, Infinity] + 1265363*S[5, 3, Infinity] + 
     846080*S[-5, -1, -1, -1, Infinity] + 704000*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -1, -1, -2, -1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/1680 + (4873*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (3458509*S[2, Infinity]^4)/98000 + 
   ((201*S[-1, Infinity]^2)/56 - (22445*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-9703*S[-1, Infinity]^3)/192 + 
     (105887*S[-1, Infinity]*S[2, Infinity])/224 + (130481*S[3, Infinity])/
      448)*S[5, Infinity] + (1477489*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3481*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-4841*S[-1, Infinity]^4)/1680 - 
     (1851*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-6287*S[-1, Infinity]^5)/2240 + 
     (5993*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (29983*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2082*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((119*S[-1, Infinity]^6)/720 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     28*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(1219*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(705*S[-5, 1, 1, Infinity] - 793*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1862720*S[-7, -1, Infinity] + 312959*S[5, 3, Infinity] + 
     222080*S[-5, -1, -1, -1, Infinity] + 172160*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[2, -1, -2, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/1152 + (151*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (174641*S[2, Infinity]^4)/56000 + 
   ((-27*S[-1, Infinity]^2)/128 - (123*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((207*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2771*S[3, Infinity])/512)*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/960 + 
     (157*S[-1, 1, 1, 1, Infinity])/40) + 
   (-15360*S[-7, -1, Infinity] - 839*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*(S[-1, Infinity]^5/96 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    ((-19*S[-1, Infinity]^6)/480 + 3*S[-5, -1, Infinity] + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[2, -1, -2, 1, 1, -1, Infinity] -> (-73*S[-1, Infinity]^8)/13440 - 
   (1493*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1965077*S[2, Infinity]^4)/196000 + 
   ((-1725*S[-1, Infinity]^2)/448 + (31117*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1147*S[-1, Infinity]^3)/128 - 
     (34733*S[-1, Infinity]*S[2, Infinity])/448 - (6081*S[3, Infinity])/224)*
    S[5, Infinity] - (358165*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (141*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/140 + 
     (163*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((811*S[-1, Infinity]^5)/1344 - (1807*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (90497*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (415*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((217*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (4531*S[-5, -1, Infinity] + 588*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-174*S[-5, 1, 1, Infinity] + 85*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2804960*S[-7, -1, Infinity] - 402313*S[5, 3, Infinity] - 
     249600*S[-5, -1, -1, -1, Infinity] - 265600*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[2, -1, -2, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/45 + (145*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (302167*S[2, Infinity]^4)/49000 + ((-14221*S[-1, Infinity]^2)/896 - 
     (45645*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((1953*S[-1, Infinity]^3)/128 + (36781*S[-1, Infinity]*S[2, Infinity])/
      448 + (293647*S[3, Infinity])/7168)*S[5, Infinity] - 
   (362995*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-279*S[-1, Infinity]^4)/280 - 
     (323*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1163*S[-1, Infinity]^5)/6720 + 
     (895*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (101641*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1777*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-389*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/288 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-943*S[-5, -1, Infinity] + 
       273*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-328*S[-5, 1, 1, Infinity] + 
      113*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (7440320*S[-7, -1, Infinity] + 1352403*S[5, 3, Infinity] + 
     961280*S[-5, -1, -1, -1, Infinity] + 633600*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -1, -2, 1, -1, -1, Infinity] -> 
  (-677*S[-1, Infinity]^8)/40320 + (2833*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (10448289*S[2, Infinity]^4)/784000 + 
   ((-2643*S[-1, Infinity]^2)/448 - (28355*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((147621*S[-1, Infinity]*S[2, Infinity])/896 + 
     (518345*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((-171*S[-1, Infinity]^4)/2240 - 
     (2721*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-1779*S[-1, Infinity]^5)/2240 + 
     (555*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (311943*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (5337*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-1975*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/480 + 
     (35*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2225*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (19347520*S[-7, -1, Infinity] + 3089861*S[5, 3, Infinity] + 
     2151680*S[-5, -1, -1, -1, Infinity] + 
     1772800*S[-5, -1, 1, 1, Infinity] - 125440*S[-1, 1, 1, 1, Infinity]^2 - 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[2, -1, -2, -1, 1, 1, Infinity] -> (5*S[-1, Infinity]^8)/504 - 
   (2547*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (758197*S[2, Infinity]^4)/392000 + 
   ((73*S[-1, Infinity]^2)/112 + (7337*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((713*S[-1, Infinity]^3)/192 - 
     (3735*S[-1, Infinity]*S[2, Infinity])/448 - (37917*S[3, Infinity])/7168)*
    S[5, Infinity] - (183719*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((3779*S[-1, Infinity]^4)/3360 + 
     (31*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((197*S[-1, Infinity]^5)/1680 - (1327*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (58001*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1033*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/32 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (37*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (967*S[-5, -1, Infinity] - 798*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(-85*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-121*S[-5, 1, 1, Infinity] + 96*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-5055040*S[-7, -1, Infinity] - 781209*S[5, 3, Infinity] - 
     482560*S[-5, -1, -1, -1, Infinity] - 467200*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[2, -1, -2, -1, 1, -1, Infinity] -> (19*S[-1, Infinity]^8)/2520 - 
   (1093*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1389727*S[2, Infinity]^4)/392000 + 
   ((3363*S[-1, Infinity]^2)/896 - (1181*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/384 + 
     (4063*S[-1, Infinity]*S[2, Infinity])/448 - (127931*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((1121*S[-1, Infinity]^4)/1120 - (283*S[-1, 1, 1, 1, Infinity])/140) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-277*S[-1, Infinity]^5)/2240 + 
     (277*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (38739*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (831*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/180 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(345*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-445*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3682880*S[-7, -1, Infinity] + 330161*S[5, 3, Infinity] + 
     103680*S[-5, -1, -1, -1, Infinity] + 416000*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[2, -1, -2, -1, -1, 1, Infinity] -> (1261*S[-1, Infinity]^8)/40320 - 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + (1680221*S[2, Infinity]^4)/
    156800 + ((5625*S[-1, Infinity]^2)/896 + (43209*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/384 - 
     (56227*S[-1, Infinity]*S[2, Infinity])/448 - (208653*S[3, Infinity])/
      3584)*S[5, Infinity] + (625*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((5027*S[-1, Infinity]^4)/6720 + 
     (2967*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((125*S[-1, Infinity]^5)/224 - 
     (625*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (22125*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (1875*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/1440 + (2995*S[-5, -1, Infinity])/
      28 - (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (-1364416*S[-7, -1, Infinity] - 219249*S[5, 3, Infinity] - 
     160000*S[-5, -1, -1, -1, Infinity] - 121344*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[2, -1, -2, -1, -1, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/840 - (6393*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1444293*S[2, Infinity]^4)/98000 + 
   ((341*S[-1, Infinity]^2)/56 + (9115*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/12 - 
     (21939*S[-1, Infinity]*S[2, Infinity])/112 - (209901*S[3, Infinity])/
      1792)*S[5, Infinity] - (311687*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (1363*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((127*S[-1, Infinity]^4)/84 + 
     (704*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((1157*S[-1, Infinity]^5)/1680 - (1451*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (20371*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (946*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/60 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 28*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1849*S[-5, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-139*S[-5, 1, 1, Infinity] + 
      344*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-871040*S[-7, -1, Infinity] - 142633*S[5, 3, Infinity] - 
     97920*S[-5, -1, -1, -1, Infinity] - 81280*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[2, -2, 1, 1, 1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/1152 - (109*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (62743*S[2, Infinity]^4)/112000 + 
   ((-69*S[-1, Infinity]^2)/32 - (379*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 - (7*S[-1, Infinity]*S[2, Infinity])/8 - 
     (1343*S[3, Infinity])/256)*S[5, Infinity] + 
   (2165*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/960 - 
     (77*S[-1, 1, 1, 1, Infinity])/40) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((163*S[-1, Infinity]^5)/960 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (671*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (3840*S[-7, -1, Infinity] + 981*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] - 
     2880*S[-1, 1, 1, 1, Infinity]^2 - 2560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/640, S[2, -2, 1, 1, 1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/40320 - (81*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (1084933*S[2, Infinity]^4)/784000 + 
   ((-551*S[-1, Infinity]^2)/896 + (209*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/96 - 
     (1097*S[-1, Infinity]*S[2, Infinity])/448 - (9725*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((145*S[-1, Infinity]^4)/1344 - 
     (71*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((167*S[-1, Infinity]^5)/6720 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (2087*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (363*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (475*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-323200*S[-7, -1, Infinity] - 26031*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 56960*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -2, 1, 1, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/8064 + (57*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1298797*S[2, Infinity]^4)/784000 + 
   ((1061*S[-1, Infinity]^2)/1792 - (6701*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/96 + 
     (4705*S[-1, Infinity]*S[2, Infinity])/224 - (82121*S[3, Infinity])/7168)*
    S[5, Infinity] - (187*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((573*S[-1, Infinity]^4)/2240 + 
     (89*S[-1, 1, 1, 1, Infinity])/140) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-289*S[-1, Infinity]^5)/1680 + 
     (1471*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (33239*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/360 + (13*S[-5, -1, Infinity])/
      56 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (1201600*S[-7, -1, Infinity] + 189627*S[5, 3, Infinity] + 
     239360*S[-5, -1, -1, -1, Infinity] - 51200*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -2, 1, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/560 + (171*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (794107*S[2, Infinity]^4)/392000 + 
   ((-7519*S[-1, Infinity]^2)/1792 - (12709*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1085*S[-1, Infinity]^3)/384 + 
     (28937*S[-1, Infinity]*S[2, Infinity])/896 + (24211*S[3, Infinity])/
      7168)*S[5, Infinity] + (323949*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (291*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((79*S[-1, Infinity]^4)/840 - 
     (183*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((563*S[-1, Infinity]^5)/6720 + 
     (115*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (31403*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/96 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(335*S[-5, -1, Infinity] - 308*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (S[-1, Infinity]*(-78*S[-5, 1, 1, Infinity] - 169*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3285440*S[-7, -1, Infinity] + 658079*S[5, 3, Infinity] + 
     572160*S[-5, -1, -1, -1, Infinity] + 72960*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -2, 1, -1, 1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/1120 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1272221*S[2, Infinity]^4)/784000 + 
   ((-545*S[-1, Infinity]^2)/1792 - (2979*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((51*S[-1, Infinity]*S[2, Infinity])/28 + 
     (21335*S[3, Infinity])/7168)*S[5, Infinity] - 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((971*S[-1, Infinity]^4)/2240 + 
     (15*S[-1, 1, 1, 1, Infinity])/14) + S[2, Infinity]*
    ((-41*S[-1, Infinity]^6)/360 + (733*S[-5, -1, Infinity])/56 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/140 + 
     (415*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (16157*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (-963520*S[-7, -1, Infinity] - 36189*S[5, 3, Infinity] + 
     21760*S[-5, -1, -1, -1, Infinity] - 192000*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -2, 1, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/60 - (503*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (89963*S[2, Infinity]^4)/31360 + ((217*S[-1, Infinity]^2)/256 + 
     (393*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((279*S[-1, Infinity]^3)/128 - (495*S[-1, Infinity]*S[2, Infinity])/64 - 
     (54169*S[3, Infinity])/7168)*S[5, Infinity] - 
   (111171*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (21*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((197*S[-1, Infinity]^4)/672 + 
     (751*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-229*S[-1, Infinity]^5)/1680 + 
     (131*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (2773*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-199*S[-1, Infinity]^6)/1440 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (911*S[-5, -1, Infinity] - 924*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-263616*S[-7, -1, Infinity] - 50405*S[5, 3, Infinity] - 
     40704*S[-5, -1, -1, -1, Infinity] - 20224*S[-5, -1, 1, 1, Infinity] + 
     43008*S[-1, 1, 1, 1, Infinity]^2 - 28672*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[2, -2, 1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/420 - (5977*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1269283*S[2, Infinity]^4)/196000 + 
   ((6915*S[-1, Infinity]^2)/1792 + (9187*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (56421*S[-1, Infinity]*S[2, Infinity])/896 - (72179*S[3, Infinity])/
      3584)*S[5, Infinity] - (61345*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((313*S[-1, Infinity]^4)/560 - 
     (26*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/560 - 
     (1693*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (18051*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (55*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (419*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/144 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (383*S[-5, -1, Infinity] - 413*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(507*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(61*S[-5, 1, 1, Infinity] + 68*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*(355520*S[-7, -1, Infinity] + 79781*S[5, 3, Infinity] + 
      70400*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[2, -2, 1, -1, -1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/640 - (6017*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (26847*S[2, Infinity]^4)/16000 + 
   ((-679*S[-1, Infinity]^2)/256 + (2821*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-7515*S[-1, Infinity]*S[2, Infinity])/128 - 
     (593*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((599*S[-1, Infinity]^4)/960 - 
     (149*S[-1, 1, 1, 1, Infinity])/20) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/192 - 
     (443*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (981*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (183*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((9*S[-1, Infinity]^6)/160 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (131*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(77*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   (-80960*S[-7, -1, Infinity] - 11523*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 5920*S[-5, -1, 1, 1, Infinity] - 
     4800*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/640, S[2, -2, -1, 1, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/5040 - (415*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1920483*S[2, Infinity]^4)/784000 + 
   ((297*S[-1, Infinity]^2)/448 + (1157*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-99*S[-1, Infinity]*S[2, Infinity])/7 - 
     (19935*S[3, Infinity])/3584)*S[5, Infinity] + 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/672 - 
     (2161*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/180 - (773*S[-5, -1, Infinity])/56 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((33*S[-1, Infinity]^5)/560 - 
     (33*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (5841*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (97*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (219840*S[-7, -1, Infinity] - 80179*S[5, 3, Infinity] - 
     84480*S[-5, -1, -1, -1, Infinity] + 115840*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -2, -1, 1, 1, -1, Infinity] -> 
  (307*S[-1, Infinity]^8)/40320 - (547*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (4891*S[2, Infinity]^4)/2240 + 
   ((401*S[-1, Infinity]^2)/112 + (399*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 - 
     (839*S[-1, Infinity]*S[2, Infinity])/224 - (283*S[3, Infinity])/128)*
    S[5, Infinity] - (7389*S[-1, Infinity]*S[7, Infinity])/896 + 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/240 + 
     (12*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((-15*S[-1, Infinity]^5)/64 + (71*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (397*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/120 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-31*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] + 118*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2336*S[-7, -1, Infinity] - 1169*S[5, 3, Infinity] - 
     2048*S[-5, -1, -1, -1, Infinity] + 1536*S[-5, -1, 1, 1, Infinity] + 
     1152*S[-1, 1, 1, 1, Infinity]^2 - 6144*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[2, -2, -1, 1, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/840 + (5963*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (34401*S[2, Infinity]^4)/49000 + 
   ((4929*S[-1, Infinity]^2)/896 + (1279*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 + 
     (2097*S[-1, Infinity]*S[2, Infinity])/224 + (151297*S[3, Infinity])/
      7168)*S[5, Infinity] - (122053*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((8*S[-1, Infinity]^4)/105 + 
     (219*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-3523*S[-1, Infinity]^5)/6720 + (1745*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (27347*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (387*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-73*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/240 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (33*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(89*S[-5, 1, 1, Infinity] + 103*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-685760*S[-7, -1, Infinity] - 58239*S[5, 3, Infinity] - 
     121600*S[-5, -1, -1, -1, Infinity] + 32000*S[-5, -1, 1, 1, Infinity] + 
     286720*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -2, -1, 1, -1, -1, Infinity] -> 
  (3*S[-1, Infinity]^8)/560 + (515*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (803609*S[2, Infinity]^4)/392000 + 
   ((1279*S[-1, Infinity]^2)/896 + (2983*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1041*S[-1, Infinity]*S[2, Infinity])/448 + 
     (53995*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((-81*S[-1, Infinity]^4)/448 - 
     (13*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-163*S[-1, Infinity]^5)/2240 - 
     (109*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2111*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (293*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/720 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (2*(-3*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-726720*S[-7, -1, Infinity] - 136917*S[5, 3, Infinity] - 
     96000*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -2, -1, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/252 + (1027*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (745733*S[2, Infinity]^4)/78400 + ((-9995*S[-1, Infinity]^2)/1792 - 
     (28319*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/384 + (25589*S[-1, Infinity]*S[2, Infinity])/448 + 
     (28517*S[3, Infinity])/7168)*S[5, Infinity] + 
   (54889*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-2411*S[-1, Infinity]^4)/3360 + 
     (829*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/84 + 
     (32*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (12079*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-381*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-221*S[-5, -1, Infinity] + 406*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] - 21*S[5, -1, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (669248*S[-7, -1, Infinity] + 155529*S[5, 3, Infinity] + 
     154880*S[-5, -1, -1, -1, Infinity] - 15104*S[-5, -1, 1, 1, Infinity] + 
     28672*S[-1, 1, 1, 1, Infinity]^2 - 172032*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[2, -2, -1, -1, 1, -1, Infinity] -> 
  (139*S[-1, Infinity]^8)/13440 + (8639*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (2112909*S[2, Infinity]^4)/392000 + 
   ((1307*S[-1, Infinity]^2)/1792 - (18549*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/384 + 
     (13499*S[-1, Infinity]*S[2, Infinity])/224 + (39265*S[3, Infinity])/
      7168)*S[5, Infinity] - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    8 + S[2, Infinity]^2*((-6211*S[-1, Infinity]^4)/6720 + 
     (557*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3629*S[-1, Infinity]^5)/6720 + 
     (687*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (82497*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (493*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/1440 - 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-521*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-421*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (2323520*S[-7, -1, Infinity] + 455733*S[5, 3, Infinity] + 
     520960*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] + 
     268800*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[2, -2, -1, -1, -1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/336 + (681*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (70537*S[2, Infinity]^4)/49000 + ((-659*S[-1, Infinity]^2)/448 - 
     (5855*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/384 + (39301*S[-1, Infinity]*S[2, Infinity])/
      896 + (10733*S[3, Infinity])/3584)*S[5, Infinity] - 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-487*S[-1, Infinity]^4)/6720 - 
     (141*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/840 + 
     (955*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (6633*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (117*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - (1175*S[-5, -1, Infinity])/56 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (1761280*S[-7, -1, Infinity] + 265599*S[5, 3, Infinity] + 
     243200*S[-5, -1, -1, -1, Infinity] + 101760*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[2, -2, -1, -1, -1, -1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/2520 + (409*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (29321*S[2, Infinity]^4)/7000 + 
   ((-113*S[-1, Infinity]^2)/14 - (85*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-403*S[-1, Infinity]^3)/192 + (23855*S[-1, Infinity]*S[2, Infinity])/
      448 + (181*S[3, Infinity])/256)*S[5, Infinity] + 
   (32243*S[-1, Infinity]*S[7, Infinity])/448 - 
   (221*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/40 - (36*S[-1, 1, 1, 1, Infinity])/
      5) + (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/10 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (14977*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     13*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/180 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     2*(19*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])) - 
   (S[-1, Infinity]*(-115*S[-5, 1, 1, Infinity] - 
      206*S[5, -1, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (13440*S[-7, -1, Infinity] + 2309*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2 - 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/80, S[-1, 3, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/1008 + (137*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (27413*S[2, Infinity]^4)/392000 + 
   ((347*S[-1, Infinity]^2)/448 + (9*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/64 + (711*S[-1, Infinity]*S[2, Infinity])/224 + 
     (13175*S[3, Infinity])/3584)*S[5, Infinity] - 
   (37417*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((51*S[-1, Infinity]^4)/1120 - 
     (13*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/840 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (62*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-33*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-69*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (8000*S[-7, -1, Infinity] + 4749*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 4160*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, 3, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/2880 + 
   (213*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (290921*S[2, Infinity]^4)/392000 + 
   ((-477*S[-1, Infinity]^2)/1792 - (11117*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (4527*S[-1, Infinity]*S[2, Infinity])/224 + (51595*S[3, Infinity])/7168)*
    S[5, Infinity] - (37417*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/1344 - 
     (71*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-153*S[-1, Infinity]^5)/2240 + 
     (321*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (5533*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (361*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(167*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-25*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1439680*S[-7, -1, Infinity] + 266373*S[5, 3, Infinity] + 
     195840*S[-5, -1, -1, -1, Infinity] + 90880*S[-5, -1, 1, 1, Infinity] - 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 3, 1, 1, -1, 1, Infinity] -> (37*S[-1, Infinity]^8)/8064 - 
   (153*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (130297*S[2, Infinity]^4)/784000 + 
   ((8605*S[-1, Infinity]^2)/1792 + (15893*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2077*S[-1, Infinity]^3)/384 - 
     (33913*S[-1, Infinity]*S[2, Infinity])/896 - (77589*S[3, Infinity])/
      7168)*S[5, Infinity] + (180655*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((2969*S[-1, Infinity]^4)/6720 + 
     (23*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/420 - 
     (391*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (41421*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (481*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/160 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (537*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(67*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(89*S[-5, 1, 1, Infinity] - 65*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1855040*S[-7, -1, Infinity] - 408813*S[5, 3, Infinity] - 
     354560*S[-5, -1, -1, -1, Infinity] - 57600*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 3, 1, 1, -1, -1, Infinity] -> 
  (61*S[-1, Infinity]^8)/10080 + (313*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (896331*S[2, Infinity]^4)/784000 + 
   ((4849*S[-1, Infinity]^2)/896 + (2677*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2077*S[-1, Infinity]^3)/384 - 
     (19359*S[-1, Infinity]*S[2, Infinity])/896 + (37575*S[3, Infinity])/
      3584)*S[5, Infinity] + (180655*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((757*S[-1, Infinity]^4)/3360 + 
     (139*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-223*S[-1, Infinity]^5)/2240 - 
     (409*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1279*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (99*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 - (151*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(89*S[-5, 1, 1, Infinity] - 65*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-217600*S[-7, -1, Infinity] - 42083*S[5, 3, Infinity] - 
     85760*S[-5, -1, -1, -1, Infinity] + 36480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 3, 1, -1, 1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/5040 + (47*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (206151*S[2, Infinity]^4)/78400 + ((-929*S[-1, Infinity]^2)/1792 - 
     (22153*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-775*S[-1, Infinity]^3)/384 + (16193*S[-1, Infinity]*S[2, Infinity])/
      896 + (28221*S[3, Infinity])/896)*S[5, Infinity] + 
   (23367*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2923*S[-1, Infinity]^4)/6720 - 
     (257*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-979*S[-1, Infinity]^5)/6720 + 
     (345*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (10517*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1021*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-216*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-87*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (71600*S[-7, -1, Infinity] + 12581*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/896, 
 S[-1, 3, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/360 + 
   (955*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (1108789*S[2, Infinity]^4)/784000 + 
   ((-3225*S[-1, Infinity]^2)/1792 - (36209*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]^3)/384 + 
     (6309*S[-1, Infinity]*S[2, Infinity])/112 + (290063*S[3, Infinity])/
      7168)*S[5, Infinity] + (23367*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (587*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-307*S[-1, Infinity]^4)/672 - 
     (73*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-773*S[-1, Infinity]^5)/3360 + 
     (513*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (88331*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (397*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - (2281*S[-5, -1, Infinity])/56 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (4743360*S[-7, -1, Infinity] + 899671*S[5, 3, Infinity] + 
     692480*S[-5, -1, -1, -1, Infinity] + 445440*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 3, 1, -1, -1, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/4480 + (503*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (1778607*S[2, Infinity]^4)/784000 + 
   ((3337*S[-1, Infinity]^2)/1792 - (8891*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1085*S[-1, Infinity]^3)/128 + 
     (5123*S[-1, Infinity]*S[2, Infinity])/448 + (79245*S[3, Infinity])/7168)*
    S[5, Infinity] + (13479*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/2240 - 
     (653*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/560 + 
     (655*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (25923*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (67*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-337*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1313*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(141*S[-5, 1, 1, Infinity] - 104*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1820480*S[-7, -1, Infinity] + 265337*S[5, 3, Infinity] + 
     267520*S[-5, -1, -1, -1, Infinity] + 243200*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 3, 1, -1, -1, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/2880 + (403*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (198147*S[2, Infinity]^4)/56000 + 
   ((4343*S[-1, Infinity]^2)/1792 - (3951*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-1085*S[-1, Infinity]^3)/128 + 
     (20359*S[-1, Infinity]*S[2, Infinity])/896 + (23167*S[3, Infinity])/512)*
    S[5, Infinity] + (13479*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/480 - 
     (81*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/320 + 
     (271*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (3579*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (245*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/8 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-299*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (3*S[-1, Infinity]^2*(115*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(141*S[-5, 1, 1, Infinity] - 104*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (257920*S[-7, -1, Infinity] + 43173*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] + 
     12800*S[-1, 1, 1, 1, Infinity]^2 - 30720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 3, -1, 1, 1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/40320 - (381*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (20107*S[2, Infinity]^4)/16000 + 
   ((-923*S[-1, Infinity]^2)/1792 + (1651*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((899*S[-1, Infinity]^3)/192 - 
     (2411*S[-1, Infinity]*S[2, Infinity])/448 - (7777*S[3, Infinity])/512)*
    S[5, Infinity] - (29327*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((137*S[-1, Infinity]^4)/960 + 
     (9*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-126720*S[-7, -1, Infinity] - 26763*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] - 17920*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/96 - 
     (S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (341*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (81*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(93*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, 3, -1, 1, 1, -1, Infinity] -> (-17*S[-1, Infinity]^8)/3360 - 
   (1283*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (8011*S[2, Infinity]^4)/6125 + ((217*S[-1, Infinity]^2)/256 + 
     (19359*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((899*S[-1, Infinity]^3)/192 - (1483*S[-1, Infinity]*S[2, Infinity])/64 - 
     (191547*S[3, Infinity])/7168)*S[5, Infinity] - 
   (29327*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (49*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((2789*S[-1, Infinity]^4)/3360 - 
     (15*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((139*S[-1, Infinity]^5)/1344 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1259*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (165*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/240 + (821*S[-5, -1, Infinity])/
      56 + (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1737920*S[-7, -1, Infinity] - 418783*S[5, 3, Infinity] - 
     398080*S[-5, -1, -1, -1, Infinity] - 130560*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 3, -1, 1, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/2016 - (1303*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (31723*S[2, Infinity]^4)/24500 + 
   ((10685*S[-1, Infinity]^2)/1792 + (39769*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 - 
     (61219*S[-1, Infinity]*S[2, Infinity])/896 - (120235*S[3, Infinity])/
      7168)*S[5, Infinity] - (151*S[-1, Infinity]*S[7, Infinity])/256 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-331*S[-1, Infinity]^4)/3360 + 
     (12*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/84 - (1331*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (73139*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (85*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(621*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1051*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-4158400*S[-7, -1, Infinity] - 844911*S[5, 3, Infinity] - 
     812800*S[-5, -1, -1, -1, Infinity] - 145920*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 3, -1, 1, -1, -1, Infinity] -> 
  (131*S[-1, Infinity]^8)/10080 - (337*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (76359*S[2, Infinity]^4)/28000 + 
   ((807*S[-1, Infinity]^2)/256 + (1383*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 - 
     (1511*S[-1, Infinity]*S[2, Infinity])/64 + (3077*S[3, Infinity])/512)*
    S[5, Infinity] - (151*S[-1, Infinity]*S[7, Infinity])/256 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/192 + 
     (29*S[-1, 1, 1, 1, Infinity])/20) + 
   (-7360*S[-7, -1, Infinity] - 2141*S[5, 3, Infinity] - 
     2880*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-101*S[-1, Infinity]^5)/960 - 
     (149*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (829*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (61*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-7*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(29*S[-5, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, -1, -1, 1, 1, Infinity] -> (-457*S[-1, Infinity]^8)/40320 - 
   (421*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (160339*S[2, Infinity]^4)/
    196000 + ((-4611*S[-1, Infinity]^2)/896 + (18413*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((6851*S[-1, Infinity]^3)/384 - 
     (14467*S[-1, Infinity]*S[2, Infinity])/448 - (153637*S[3, Infinity])/
      3584)*S[5, Infinity] - (6995*S[-1, Infinity]*S[7, Infinity])/112 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1397*S[-1, Infinity]^4)/2240 + 
     (761*S[-1, 1, 1, 1, Infinity])/280) + 
   (-1150400*S[-7, -1, Infinity] - 212299*S[5, 3, Infinity] - 
     177280*S[-5, -1, -1, -1, Infinity] - 118400*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/420 - 
     (391*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (18257*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (719*S[-1, 1, 1, 1, 1, Infinity])/28) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((157*S[-1, Infinity]^6)/1440 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + (2411*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(919*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-93*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, 3, -1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/40 - 
   (5239*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1225447*S[2, Infinity]^4)/784000 + 
   ((-13089*S[-1, Infinity]^2)/1792 + (12751*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((6851*S[-1, Infinity]^3)/384 + 
     (715*S[-1, Infinity]*S[2, Infinity])/896 - (229459*S[3, Infinity])/7168)*
    S[5, Infinity] - (6995*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((-173*S[-1, Infinity]^4)/280 - 
     (95*S[-1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((437*S[-1, Infinity]^5)/2240 - 
     (241*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (4469*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1101*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/80 - 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-38*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(53*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-93*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1267520*S[-7, -1, Infinity] - 244077*S[5, 3, Infinity] - 
     218880*S[-5, -1, -1, -1, Infinity] - 220160*S[-5, -1, 1, 1, Infinity] - 
     322560*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 3, -1, -1, -1, 1, Infinity] -> 
  (-121*S[-1, Infinity]^8)/20160 - (1391*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (338897*S[2, Infinity]^4)/196000 + 
   ((209*S[-1, Infinity]^2)/1792 + (42145*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1891*S[-1, Infinity]^3)/192 - 
     (9781*S[-1, Infinity]*S[2, Infinity])/224 - (297525*S[3, Infinity])/
      7168)*S[5, Infinity] - (27465*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((979*S[-1, Infinity]^4)/2240 + 
     (223*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((373*S[-1, Infinity]^5)/2240 - (541*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (84349*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (1119*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/144 + 5*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (349*S[-5, -1, Infinity] - 
       7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(341*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-5258560*S[-7, -1, Infinity] - 1100907*S[5, 3, Infinity] - 
     800000*S[-5, -1, -1, -1, Infinity] - 570880*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 3, -1, -1, -1, -1, Infinity] -> -S[-1, Infinity]^8/140 - 
   (1559*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (13829*S[2, Infinity]^4)/98000 + ((33*S[-1, Infinity]^2)/28 + 
     (193*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((1891*S[-1, Infinity]^3)/192 - (26447*S[-1, Infinity]*S[2, Infinity])/
      448 - (52027*S[3, Infinity])/896)*S[5, Infinity] - 
   (27465*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (111*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (-326400*S[-7, -1, Infinity] - 71563*S[5, 3, Infinity] - 
     61440*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((241*S[-1, Infinity]^4)/840 + 
     (88*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((61*S[-1, Infinity]^5)/280 - (103*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (25651*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (183*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/180 + (316*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7, 
 S[-1, 2, 2, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/504 - 
   (431*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (646403*S[2, Infinity]^4)/784000 + 
   ((-447*S[-1, Infinity]^2)/224 + (579*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (4903*S[-1, Infinity]*S[2, Infinity])/448 - (21151*S[3, Infinity])/1792)*
    S[5, Infinity] + (81113*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/672 + 
     (11*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((51*S[-1, Infinity]^5)/560 - (51*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (10833*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(-19*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (3*S[-1, Infinity]^2*(69*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-81920*S[-7, -1, Infinity] - 15977*S[5, 3, Infinity] - 
     16000*S[-5, -1, -1, -1, Infinity] - 17600*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, 2, 1, 1, -1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/10080 - (723*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (341533*S[2, Infinity]^4)/784000 + 
   ((-437*S[-1, Infinity]^2)/448 + (1607*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (9127*S[-1, Infinity]*S[2, Infinity])/448 - (8963*S[3, Infinity])/896)*
    S[5, Infinity] + (81113*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-547*S[-1, Infinity]^4)/1680 - 
     (237*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((151*S[-1, Infinity]^5)/3360 - 
     (331*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (7701*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-335*S[-5, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-800*S[-7, -1, Infinity] - 2899*S[5, 3, Infinity] - 
     3280*S[-5, -1, -1, -1, Infinity] + 3000*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 + 22400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, 2, 2, 1, -1, 1, Infinity] -> 
  (-133*S[-1, Infinity]^8)/5760 - (913*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (1997881*S[2, Infinity]^4)/392000 + 
   ((-13211*S[-1, Infinity]^2)/1792 - (4511*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/64 + 
     (11745*S[-1, Infinity]*S[2, Infinity])/448 - (149873*S[3, Infinity])/
      3584)*S[5, Infinity] - (17765*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((3079*S[-1, Infinity]^4)/6720 - 
     (657*S[-1, 1, 1, 1, Infinity])/280) + 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((2291*S[-1, Infinity]^5)/6720 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (1963*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (177*S[-1, 1, 1, 1, 1, Infinity])/7) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((41*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (2207*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(31*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-180*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-440000*S[-7, -1, Infinity] + 36011*S[5, 3, Infinity] + 
     181760*S[-5, -1, -1, -1, Infinity] - 320640*S[-5, -1, 1, 1, Infinity] - 
     188160*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 2, 2, 1, -1, -1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/2520 - (2371*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (228339*S[2, Infinity]^4)/392000 + 
   ((-8865*S[-1, Infinity]^2)/896 - (7753*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/64 + 
     (519*S[-1, Infinity]*S[2, Infinity])/14 - (35765*S[3, Infinity])/896)*
    S[5, Infinity] - (17765*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((3613*S[-1, Infinity]^4)/3360 - 
     (169*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((743*S[-1, Infinity]^5)/2240 + 
     (1061*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (7123*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (391*S[-1, 1, 1, 1, 1, Infinity])/14) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((-5*S[-1, Infinity]^6)/48 + 
     (1375*S[-5, -1, Infinity])/56 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-180*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (190240*S[-7, -1, Infinity] + 64747*S[5, 3, Infinity] + 
     118400*S[-5, -1, -1, -1, Infinity] - 111680*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, 2, -1, 1, 1, Infinity] -> 
  (59*S[-1, Infinity]^8)/2520 + (447*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (416383*S[2, Infinity]^4)/49000 + 
   ((-2671*S[-1, Infinity]^2)/1792 - (31715*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1147*S[-1, Infinity]^3)/192 + 
     (31267*S[-1, Infinity]*S[2, Infinity])/448 - (727*S[3, Infinity])/224)*
    S[5, Infinity] + (8037*S[-1, Infinity]*S[7, Infinity])/256 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((1811*S[-1, Infinity]^4)/3360 + 
     (401*S[-1, 1, 1, 1, Infinity])/140) + 
   (234240*S[-7, -1, Infinity] + 81301*S[5, 3, Infinity] + 
     110080*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-299*S[-1, Infinity]^5)/1680 + 
     (1945*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (17991*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (67*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/48 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (275*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-179*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 2, -1, 1, -1, Infinity] -> (37*S[-1, Infinity]^8)/2520 + 
   (195*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (27813*S[2, Infinity]^4)/12250 + ((-1033*S[-1, Infinity]^2)/448 - 
     (10057*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-1147*S[-1, Infinity]^3)/192 + (27103*S[-1, Infinity]*S[2, Infinity])/
      448 + (11015*S[3, Infinity])/1792)*S[5, Infinity] + 
   (8037*S[-1, Infinity]*S[7, Infinity])/256 - 
   (191*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((131*S[-1, Infinity]^4)/105 + 
     (142*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-293*S[-1, Infinity]^5)/1680 + (215*S[-1, Infinity]^3*S[2, Infinity])/
      42 + (8059*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/45 - (167*S[-5, -1, Infinity])/
      14 + 6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (975680*S[-7, -1, Infinity] + 223793*S[5, 3, Infinity] + 
     226560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, 2, -1, -1, 1, Infinity] -> 
  (15*S[-1, Infinity]^8)/896 + (507*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (59433*S[2, Infinity]^4)/112000 + ((1067*S[-1, Infinity]^2)/128 - 
     (1755*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/2 + 12*S[-1, Infinity]*S[2, Infinity] + 
     (745*S[3, Infinity])/16)*S[5, Infinity] + 
   (4323*S[-1, Infinity]*S[7, Infinity])/64 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((71*S[-1, Infinity]^4)/960 + 
     (11*S[-1, 1, 1, 1, Infinity])/8) + 
   (6720*S[-7, -1, Infinity] + 1393*S[5, 3, Infinity] + 
     960*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity] + 
     40*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    ((-47*S[-1, Infinity]^5)/160 + (35*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (2267*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     24*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/96 - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      4 - (3*(97*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      8) + (S[-1, Infinity]^2*(-109*S[-5, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 2, -1, -1, -1, Infinity] -> (53*S[-1, Infinity]^8)/1680 + 
   (324*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (17687*S[2, Infinity]^4)/4900 + ((3335*S[-1, Infinity]^2)/448 - 
     (4863*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/2 + (2385*S[-1, Infinity]*S[2, Infinity])/112 + 
     (70081*S[3, Infinity])/1792)*S[5, Infinity] + 
   (4323*S[-1, Infinity]*S[7, Infinity])/64 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/420 + 
     (114*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-31*S[-1, Infinity]^5)/105 + (307*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (13941*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (143*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-41*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-163*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (49088*S[-7, -1, Infinity] + 18965*S[5, 3, Infinity] + 
     20224*S[-5, -1, -1, -1, Infinity] - 512*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, 2, 1, 2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 + (47*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (457081*S[2, Infinity]^4)/784000 + 
   ((-59*S[-1, Infinity]^2)/64 - (2987*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/32 + 
     (303*S[-1, Infinity]*S[2, Infinity])/32 + (9305*S[3, Infinity])/896)*
    S[5, Infinity] + (167991*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-457*S[-1, Infinity]^4)/6720 - 
     (173*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - (173*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (553600*S[-7, -1, Infinity] + 115723*S[5, 3, Infinity] + 
     112640*S[-5, -1, -1, -1, Infinity] + 21760*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((599*S[-1, Infinity]^5)/6720 - 
     (305*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (403*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 1, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/128 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (3191409*S[2, Infinity]^4)/784000 + 
   ((117*S[-1, Infinity]^2)/1792 + (3285*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/32 + 
     (633*S[-1, Infinity]*S[2, Infinity])/224 - (29349*S[3, Infinity])/3584)*
    S[5, Infinity] + (167991*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (111*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    28 - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-969*S[-1, Infinity]^4)/1120 + 
     (351*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*(-74560*S[-7, -1, Infinity] - 11233*S[5, 3, Infinity] + 
      3200*S[-5, -1, -1, -1, Infinity] - 21120*S[-5, -1, 1, 1, Infinity] + 
      13440*S[-1, 1, 1, 1, Infinity]^2))/8960 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/224 - 
     (411*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (267*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (45*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((9*S[-1, Infinity]^6)/80 + (1065*S[-5, -1, Infinity])/56 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, 2, -1, 1, Infinity] -> S[-1, Infinity]^8/144 - 
   (1237*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (149*S[2, Infinity]^4)/224 + ((-2101*S[-1, Infinity]^2)/1792 + 
     (477*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/64 - (757*S[-1, Infinity]*S[2, Infinity])/112 - 
     (1827*S[3, Infinity])/256)*S[5, Infinity] + 
   (24021*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   4*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]^2*
    ((-91*S[-1, Infinity]^4)/240 + (8*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/192 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (151*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 - (3*S[-5, -1, Infinity])/8 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4), 
 S[-1, 2, 1, 2, -1, -1, Infinity] -> -S[-1, Infinity]^8/1152 - 
   (1387*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - S[2, Infinity]^4/3200 - 
   (85*S[-1, Infinity]^2*S[3, Infinity]^2)/28 + 
   ((93*S[-1, Infinity]^3)/64 - (1201*S[-1, Infinity]*S[2, Infinity])/448)*
    S[5, Infinity] + (24021*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/960 + 
     S[-1, 1, 1, 1, Infinity]/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   S[-1, 1, 1, 1, Infinity]^2/2 + S[3, Infinity]*((25*S[-1, Infinity]^5)/96 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (731*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4), 
 S[-1, 2, 1, 1, 2, 1, Infinity] -> -S[-1, Infinity]^8/384 - 
   (323*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (134929*S[2, Infinity]^4)/196000 + 
   ((513*S[-1, Infinity]^2)/896 + (7927*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/32 - 
     (1679*S[-1, Infinity]*S[2, Infinity])/224 - (11643*S[3, Infinity])/896)*
    S[5, Infinity] - (55997*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-607*S[-1, Infinity]^4)/6720 - 
     (23*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 + (24*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-67240*S[-7, -1, Infinity] - 20971*S[5, 3, Infinity] - 
     18560*S[-5, -1, -1, -1, Infinity] + 1760*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((131*S[-1, Infinity]^5)/3360 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3641*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, 2, 1, 1, 2, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/384 - (1693*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (139803*S[2, Infinity]^4)/56000 + 
   ((-101*S[-1, Infinity]^2)/448 + (9*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/32 - (143*S[-1, Infinity]*S[2, Infinity])/224 - 
     (1685*S[3, Infinity])/256)*S[5, Infinity] - 
   (55997*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((889*S[-1, Infinity]^4)/960 - 
     (319*S[-1, 1, 1, 1, Infinity])/40) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (11680*S[-7, -1, Infinity] + 1561*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/160 + 
     (27*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (1243*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-9*S[-1, Infinity]^6)/160 - (13*S[-5, -1, Infinity])/2 + 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, 1, 1, 2, Infinity] -> -S[-1, Infinity]^8/384 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/32 - (81*S[2, Infinity]^4)/2000 + 
   ((-53*S[-1, Infinity]^2)/64 - (97*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-11*S[-1, Infinity]*S[2, Infinity])/64 + (541*S[3, Infinity])/256)*
    S[5, Infinity] + (3295*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/4 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/480 + 
     (7*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-3200*S[-7, -1, Infinity] + 821*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     1920*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/320 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (149*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((19*S[-1, Infinity]^6)/1440 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (4*S[-5, -1, Infinity] + 
       5*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, 2, 1, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/128 + 
   (49*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (1057*S[2, Infinity]^4)/4000 + ((-13*S[-1, Infinity]^2)/16 - 
     (19*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((229*S[-1, Infinity]*S[2, Infinity])/64 + (1221*S[3, Infinity])/1024)*
    S[5, Infinity] + (3295*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/4 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-203*S[-1, Infinity]^4)/960 + 
     (93*S[-1, 1, 1, 1, Infinity])/40) + 
   (-14400*S[-7, -1, Infinity] + 7721*S[5, 3, Infinity] + 
     11520*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] + 
     23040*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/240 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (1199*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*S[-5, -1, Infinity] - 10*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, 2, 1, 1, -1, 2, Infinity] -> (97*S[-1, Infinity]^8)/6720 + 
   (813*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (4319449*S[2, Infinity]^4)/784000 + 
   ((43*S[-1, Infinity]^2)/256 + (4869*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/128 + 
     (1607*S[-1, Infinity]*S[2, Infinity])/128 + (87399*S[3, Infinity])/3584)*
    S[5, Infinity] - (432559*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/560 + 
     (162*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-17*S[-1, Infinity]^5)/112 + (1615*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (73*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (155*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(11*S[-5, -1, Infinity] + 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/48 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1367*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1566720*S[-7, -1, Infinity] - 127803*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] - 172800*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 2, 1, 1, -1, -2, Infinity] -> 
  (67*S[-1, Infinity]^8)/13440 + (171*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1536471*S[2, Infinity]^4)/156800 + 
   ((3447*S[-1, Infinity]^2)/896 + (28893*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/128 - 
     (64765*S[-1, Infinity]*S[2, Infinity])/896 - (29781*S[3, Infinity])/
      1792)*S[5, Infinity] - (432559*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (383*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1327*S[-1, Infinity]^4)/2240 + 
     (1787*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((527*S[-1, Infinity]^5)/3360 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (62821*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (298*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-4*S[-1, Infinity]^6)/45 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-619*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-489632*S[-7, -1, Infinity] - 76599*S[5, 3, Infinity] - 
     52352*S[-5, -1, -1, -1, Infinity] - 36352*S[-5, -1, 1, 1, Infinity] + 
     2688*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, 2, 1, 1, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/576 - (53*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (1348617*S[2, Infinity]^4)/784000 + 
   ((-1531*S[-1, Infinity]^2)/896 - (615*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 + 
     (2893*S[-1, Infinity]*S[2, Infinity])/448 - (61505*S[3, Infinity])/7168)*
    S[5, Infinity] - (19923*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (5*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((1013*S[-1, Infinity]^4)/3360 + 
     (37*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-386240*S[-7, -1, Infinity] + 29907*S[5, 3, Infinity] + 
     101120*S[-5, -1, -1, -1, Infinity] - 190720*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*(S[-1, Infinity]^5/448 + 
     (157*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1327*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (295*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/240 + (149*S[-5, -1, Infinity])/
      14 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, 2, 1, 1, -2, -1, Infinity] -> (7*S[-1, Infinity]^8)/1152 - 
   (11*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (13793*S[2, Infinity]^4)/
    196000 + ((-1579*S[-1, Infinity]^2)/896 + (4169*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 - 
     (3791*S[-1, Infinity]*S[2, Infinity])/448 - (15039*S[3, Infinity])/1792)*
    S[5, Infinity] - (19923*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (5*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    28 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-265*S[-1, Infinity]^4)/1344 + 
     (223*S[-1, 1, 1, 1, Infinity])/56) + 
   (-417600*S[-7, -1, Infinity] - 62493*S[5, 3, Infinity] - 
     37760*S[-5, -1, -1, -1, Infinity] - 51840*S[-5, -1, 1, 1, Infinity] + 
     31360*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/280 - 
     (53*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (401*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (74*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + (116*S[-5, -1, Infinity])/7 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, -1, 2, 1, Infinity] -> (85*S[-1, Infinity]^8)/4032 - 
   (113*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (345209*S[2, Infinity]^4)/784000 + 
   ((-1433*S[-1, Infinity]^2)/1792 + (55911*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((7843*S[-1, Infinity]^3)/384 - 
     (22483*S[-1, Infinity]*S[2, Infinity])/448 + (20925*S[3, Infinity])/
      3584)*S[5, Infinity] - (489135*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/21 + 
     (73*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-601*S[-1, Infinity]^5)/6720 - (153*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (21977*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-299*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1219*S[-5, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-62*S[-5, 1, 1, Infinity] + 239*S[5, -1, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-847680*S[-7, -1, Infinity] - 160087*S[5, 3, Infinity] - 
     152000*S[-5, -1, -1, -1, Infinity] - 18240*S[-5, -1, 1, 1, Infinity] + 
     49280*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 2, 1, -1, 2, -1, Infinity] -> 
  (67*S[-1, Infinity]^8)/2520 - (6843*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1503*S[2, Infinity]^4)/125 + 
   ((4681*S[-1, Infinity]^2)/448 + (7503*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((7843*S[-1, Infinity]^3)/384 - 
     (265889*S[-1, Infinity]*S[2, Infinity])/896 - (12855*S[3, Infinity])/
      128)*S[5, Infinity] - (489135*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (437*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/60 + 
     (31*S[-1, 1, 1, 1, Infinity])/2) + S[3, Infinity]*
    ((773*S[-1, Infinity]^5)/960 - (57*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (232333*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     111*S[-1, 1, 1, 1, 1, Infinity]) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/720 + (401*S[-5, -1, Infinity])/
      2 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-62*S[-5, 1, 1, Infinity] + 239*S[5, -1, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1061120*S[-7, -1, Infinity] - 187823*S[5, 3, Infinity] - 
     148480*S[-5, -1, -1, -1, Infinity] - 72960*S[-5, -1, 1, 1, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2 + 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, 2, 1, -1, 1, 2, Infinity] -> 
  (13*S[-1, Infinity]^8)/20160 + (393*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (59548*S[2, Infinity]^4)/6125 + 
   ((8553*S[-1, Infinity]^2)/896 - (16397*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1209*S[-1, Infinity]^3)/64 + 
     (18975*S[-1, Infinity]*S[2, Infinity])/896 - (18357*S[3, Infinity])/
      1792)*S[5, Infinity] + (52233*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((3331*S[-1, Infinity]^4)/3360 - 
     (951*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-233*S[-1, Infinity]^5)/560 + 
     (2159*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (21991*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (262*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/360 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(148*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-487*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity] - 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (2035200*S[-7, -1, Infinity] + 248839*S[5, 3, Infinity] + 
     154880*S[-5, -1, -1, -1, Infinity] + 185600*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, 1, -1, 1, -2, Infinity] -> 
  (-131*S[-1, Infinity]^8)/20160 + (2059*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (17187041*S[2, Infinity]^4)/784000 + 
   ((3875*S[-1, Infinity]^2)/1792 - (148423*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1209*S[-1, Infinity]^3)/64 + 
     (173247*S[-1, Infinity]*S[2, Infinity])/896 + (644409*S[3, Infinity])/
      7168)*S[5, Infinity] + (52233*S[-1, Infinity]*S[7, Infinity])/512 - 
   (2651*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-2903*S[-1, Infinity]^4)/3360 - 
     (143*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/105 + 
     (1759*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (377163*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1633*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (11*(-947*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 
      19*S[5, -1, -1, Infinity] - 128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (24385600*S[-7, -1, Infinity] + 3933829*S[5, 3, Infinity] + 
     2676480*S[-5, -1, -1, -1, Infinity] + 
     2161920*S[-5, -1, 1, 1, Infinity] - 35840*S[-1, 1, 1, 1, Infinity]^2 - 
     11468800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 2, 1, -1, -1, 2, Infinity] -> (-131*S[-1, Infinity]^8)/13440 + 
   (12939*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (25139649*S[2, Infinity]^4)/784000 + 
   ((699*S[-1, Infinity]^2)/112 - (55345*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-4247*S[-1, Infinity]^3)/128 + 
     (254343*S[-1, Infinity]*S[2, Infinity])/896 + (122231*S[3, Infinity])/
      896)*S[5, Infinity] + (620479*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (2041*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-2631*S[-1, Infinity]^4)/2240 - 
     (5351*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-1737*S[-1, Infinity]^5)/1120 + 
     (3383*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (286973*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1329*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((9*S[-1, Infinity]^6)/80 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-4135*S[-5, -1, Infinity] - 63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(465*S[-5, 1, 1, Infinity] - 494*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (4697440*S[-7, -1, Infinity] + 740057*S[5, 3, Infinity] + 
     504320*S[-5, -1, -1, -1, Infinity] + 429760*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2 - 2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 2, 1, -1, -1, -2, Infinity] -> 
  (-23*S[-1, Infinity]^8)/3360 + (3831*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (15250251*S[2, Infinity]^4)/784000 + 
   ((12021*S[-1, Infinity]^2)/896 - (40751*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-4247*S[-1, Infinity]^3)/128 + 
     (46659*S[-1, Infinity]*S[2, Infinity])/896 + (71095*S[3, Infinity])/
      1792)*S[5, Infinity] + (620479*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1041*S[-1, Infinity]^4)/1120 - 
     (1723*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1343*S[-1, Infinity]^5)/2240 + 
     (1105*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (95807*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (4239*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-6997*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-1853*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(465*S[-5, 1, 1, Infinity] - 494*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3833600*S[-7, -1, Infinity] + 571141*S[5, 3, Infinity] + 
     342400*S[-5, -1, -1, -1, Infinity] + 383360*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, 1, -1, -2, 1, Infinity] -> 
  (-389*S[-1, Infinity]^8)/40320 - (1201*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 + (1650121*S[2, Infinity]^4)/112000 + 
   ((-8557*S[-1, Infinity]^2)/448 + (10805*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((3379*S[-1, Infinity]^3)/64 - 
     (17519*S[-1, Infinity]*S[2, Infinity])/112 - (130453*S[3, Infinity])/
      1024)*S[5, Infinity] - (1546925*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-65*S[-1, Infinity]^4)/64 + 
     (105*S[-1, 1, 1, 1, Infinity])/8) + S[3, Infinity]*
    ((563*S[-1, Infinity]^5)/480 - (381*S[-1, Infinity]^3*S[2, Infinity])/
      32 - (75585*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     132*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((17*S[-1, Infinity]^6)/160 - (7*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + (1643*S[-5, -1, Infinity] - 
       96*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (2*S[-1, Infinity]^2*(-221*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-767*S[-5, 1, 1, Infinity] + 
      759*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-3448640*S[-7, -1, Infinity] - 574309*S[5, 3, Infinity] - 
     405760*S[-5, -1, -1, -1, Infinity] - 331520*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 1228800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 2, 1, -1, -2, -1, Infinity] -> 
  (-71*S[-1, Infinity]^8)/2520 - (1315*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (4753207*S[2, Infinity]^4)/784000 + 
   ((-48715*S[-1, Infinity]^2)/1792 + (13477*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((3379*S[-1, Infinity]^3)/64 + 
     (7957*S[-1, Infinity]*S[2, Infinity])/112 - (157253*S[3, Infinity])/
      3584)*S[5, Infinity] - (1546925*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-2257*S[-1, Infinity]^4)/1120 - 
     (411*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-55360*S[-7, -1, Infinity] - 50129*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 64000*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((2059*S[-1, Infinity]^5)/6720 - 
     (285*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2661*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1569*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (8*S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/60 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-101*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-767*S[-5, 1, 1, Infinity] + 
      759*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28, S[-1, 2, 1, -2, 1, 1, Infinity] -> -S[-1, Infinity]^8/384 - 
   (1167*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (36777*S[2, Infinity]^4)/24500 + ((165*S[-1, Infinity]^2)/224 + 
     (93*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/64 - (447*S[-1, Infinity]*S[2, Infinity])/224 - 
     (12297*S[3, Infinity])/3584)*S[5, Infinity] - 
   (52287*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((827*S[-1, Infinity]^4)/2240 - 
     (1431*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (3*(23680*S[-7, -1, Infinity] + 9859*S[5, 3, Infinity] + 
      11520*S[-5, -1, -1, -1, Infinity] - 7040*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2))/17920 + 
   S[3, Infinity]*(S[-1, Infinity]^5/448 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1707*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 - (33*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, 2, 1, -2, 1, -1, Infinity] -> S[-1, Infinity]^8/128 + 
   (369*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1046811*S[2, Infinity]^4)/784000 + 
   ((3315*S[-1, Infinity]^2)/1792 + (3411*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (1377*S[-1, Infinity]*S[2, Infinity])/448 + (53757*S[3, Infinity])/7168)*
    S[5, Infinity] - (52287*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/
    28 - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((159*S[-1, Infinity]^4)/224 + 
     (45*S[-1, 1, 1, 1, Infinity])/14) + S[2, Infinity]*
    ((-3*S[-1, Infinity]^6)/16 - (195*S[-5, -1, Infinity])/56 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (3*(-94400*S[-7, -1, Infinity] - 22217*S[5, 3, Infinity] - 
      32000*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
      53760*S[-1, 1, 1, 1, Infinity]^2))/35840 + 
   S[3, Infinity]*((-317*S[-1, Infinity]^5)/2240 + 
     (165*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (1677*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 1, -2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/72 + (5119*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (44099*S[2, Infinity]^4)/9800 + ((2107*S[-1, Infinity]^2)/256 - 
     (2739*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]*S[2, Infinity])/64 + (290013*S[3, Infinity])/7168)*
    S[5, Infinity] - (249357*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (49*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (155*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/
    28 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/840 + 
     (209*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/96 - (1821*S[-5, -1, Infinity])/56 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (306624*S[-7, -1, Infinity] + 32877*S[5, 3, Infinity] - 
     23808*S[-5, -1, -1, -1, Infinity] + 104448*S[-5, -1, 1, 1, Infinity] + 
     57344*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[3, Infinity]*((-4117*S[-1, Infinity]^5)/6720 + 
     (75*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (8987*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (71*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (204*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, 1, -2, -1, -1, Infinity] -> (7*S[-1, Infinity]^8)/1152 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (3704647*S[2, Infinity]^4)/
    784000 + ((2173*S[-1, Infinity]^2)/448 + (1293*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-611*S[-1, Infinity]*S[2, Infinity])/112 + 
     (100029*S[3, Infinity])/3584)*S[5, Infinity] - 
   (249357*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (85*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (155*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-631*S[-1, Infinity]^4)/1344 - 
     (83*S[-1, 1, 1, 1, Infinity])/56) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-98880*S[-7, -1, Infinity] - 56601*S[5, 3, Infinity] - 
     157440*S[-5, -1, -1, -1, Infinity] + 117120*S[-5, -1, 1, 1, Infinity] + 
     62720*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-1453*S[-1, Infinity]^5)/6720 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (403*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1173*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/480 - (345*S[-5, -1, Infinity])/
      28 - (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, 2, -1, 2, 1, 1, Infinity] -> (-85*S[-1, Infinity]^8)/2688 - 
   (337*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (569563*S[2, Infinity]^4)/
    392000 + ((-4727*S[-1, Infinity]^2)/896 + (8425*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/96 - 
     (30083*S[-1, Infinity]*S[2, Infinity])/896 - (50025*S[3, Infinity])/
      1792)*S[5, Infinity] - (207205*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((229*S[-1, Infinity]^4)/6720 - 
     (2399*S[-1, 1, 1, 1, Infinity])/280) + 
   (41*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((803*S[-1, Infinity]^5)/1344 - 
     (2335*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (10083*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (505*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(47*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((257*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-103*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-206*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-832960*S[-7, -1, Infinity] - 153637*S[5, 3, Infinity] - 
     138240*S[-5, -1, -1, -1, Infinity] + 21760*S[-5, -1, 1, 1, Infinity] - 
     295680*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 2, -1, 2, 1, -1, Infinity] -> 
  (-97*S[-1, Infinity]^8)/10080 - (6743*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (8091779*S[2, Infinity]^4)/392000 + 
   ((-193*S[-1, Infinity]^2)/112 + (7061*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/96 - 
     (75247*S[-1, Infinity]*S[2, Infinity])/448 - (75433*S[3, Infinity])/896)*
    S[5, Infinity] - (207205*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (475*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((7963*S[-1, Infinity]^4)/3360 + 
     (759*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((7831*S[-1, Infinity]^5)/6720 - 
     (1593*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (83557*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (852*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/360 + (1286*S[-5, -1, Infinity])/
      7 + 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-206*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-5320640*S[-7, -1, Infinity] - 787463*S[5, 3, Infinity] - 
     476160*S[-5, -1, -1, -1, Infinity] - 563200*S[-5, -1, 1, 1, Infinity] - 
     89600*S[-1, 1, 1, 1, Infinity]^2 + 2508800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, -1, 2, -1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/672 - (613*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (3654199*S[2, Infinity]^4)/392000 + 
   ((-3487*S[-1, Infinity]^2)/112 + (2175*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/8 + 
     (3443*S[-1, Infinity]*S[2, Infinity])/56 - (23055*S[3, Infinity])/448)*
    S[5, Infinity] - (135487*S[-1, Infinity]*S[7, Infinity])/448 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-1273*S[-1, Infinity]^4)/840 + 
     (85*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((493*S[-1, Infinity]^5)/1680 - (9*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (22683*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (474*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (733*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(383*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (4*S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-36375*S[-7, -1, Infinity] - 4947*S[5, 3, Infinity] - 
     2400*S[-5, -1, -1, -1, Infinity] - 4740*S[-5, -1, 1, 1, Infinity] - 
     280*S[-1, 1, 1, 1, Infinity]^2 + 16800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/140, S[-1, 2, -1, 2, -1, -1, Infinity] -> 
  (-67*S[-1, Infinity]^8)/1120 - (3011*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (3712999*S[2, Infinity]^4)/392000 + 
   ((-7445*S[-1, Infinity]^2)/224 - (3741*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/8 + 
     (31667*S[-1, Infinity]*S[2, Infinity])/224 + (10095*S[3, Infinity])/896)*
    S[5, Infinity] - (135487*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-5497*S[-1, Infinity]^4)/1680 - 
     (211*S[-1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/21 + 
     (8*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (3963*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (180*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(1045*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (S[-1, Infinity]^2*(83*S[-5, -1, Infinity] + 
      1008*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (4*S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (36375*S[-7, -1, Infinity] + 4947*S[5, 3, Infinity] + 
     2400*S[-5, -1, -1, -1, Infinity] + 4740*S[-5, -1, 1, 1, Infinity] - 
     1960*S[-1, 1, 1, 1, Infinity]^2 - 16800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/140, S[-1, 2, -1, 1, 2, 1, Infinity] -> 
  (131*S[-1, Infinity]^8)/8064 + (841*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (660033*S[2, Infinity]^4)/49000 + 
   ((2611*S[-1, Infinity]^2)/256 - (24027*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5611*S[-1, Infinity]^3)/384 + 
     (111*S[-1, Infinity]*S[2, Infinity])/64 + (5587*S[3, Infinity])/112)*
    S[5, Infinity] + (180197*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-757*S[-1, Infinity]^4)/6720 - 
     (153*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-785*S[-1, Infinity]^5)/1344 + 
     (1091*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1109*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1595*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-97*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3379*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-77*S[-5, -1, Infinity] - 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(160*S[-5, 1, 1, Infinity] - 57*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2646720*S[-7, -1, Infinity] + 380761*S[5, 3, Infinity] + 
     74240*S[-5, -1, -1, -1, Infinity] + 445440*S[-5, -1, 1, 1, Infinity] + 
     188160*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 2, -1, 1, 2, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/5040 + (3391*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (11734279*S[2, Infinity]^4)/392000 + 
   ((1285*S[-1, Infinity]^2)/448 - (42155*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-5611*S[-1, Infinity]^3)/384 + 
     (191655*S[-1, Infinity]*S[2, Infinity])/896 + (161013*S[3, Infinity])/
      896)*S[5, Infinity] + (180197*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (356*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-3753*S[-1, Infinity]^4)/1120 - 
     (1523*S[-1, 1, 1, 1, Infinity])/140) - S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-11083*S[-1, Infinity]^5)/6720 + 
     (3347*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (238951*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2587*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/90 - (3847*S[-5, -1, Infinity])/
      14 - 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(160*S[-5, 1, 1, Infinity] - 57*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (7333120*S[-7, -1, Infinity] + 1146623*S[5, 3, Infinity] + 
     706560*S[-5, -1, -1, -1, Infinity] + 843520*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, -1, 1, 1, 2, Infinity] -> 
  (-293*S[-1, Infinity]^8)/40320 - (2721*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (178667*S[2, Infinity]^4)/31360 + 
   ((-4903*S[-1, Infinity]^2)/1792 + (15769*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((651*S[-1, Infinity]^3)/128 - 
     (19897*S[-1, Infinity]*S[2, Infinity])/896 - (25979*S[3, Infinity])/
      3584)*S[5, Infinity] - (38103*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-2159*S[-1, Infinity]^4)/6720 - 
     (291*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((167*S[-1, Infinity]^5)/840 - 
     (493*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (11887*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (493*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/1440 + (699*S[-5, -1, Infinity])/
      56 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(457*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-16*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-284608*S[-7, -1, Infinity] - 48105*S[5, 3, Infinity] - 
     25344*S[-5, -1, -1, -1, Infinity] - 10496*S[-5, -1, 1, 1, Infinity] - 
     12544*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, 2, -1, 1, 1, -2, Infinity] -> 
  (-11*S[-1, Infinity]^8)/10080 - (727*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (8731859*S[2, Infinity]^4)/784000 + 
   ((-2411*S[-1, Infinity]^2)/1792 + (53205*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((651*S[-1, Infinity]^3)/128 - 
     (61099*S[-1, Infinity]*S[2, Infinity])/896 - (177461*S[3, Infinity])/
      7168)*S[5, Infinity] - (38103*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (919*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((439*S[-1, Infinity]^4)/560 + 
     (30*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((1781*S[-1, Infinity]^5)/3360 - (1165*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (150217*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (803*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/96 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2481*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-16*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] + 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-10643520*S[-7, -1, Infinity] - 1480881*S[5, 3, Infinity] - 
     889600*S[-5, -1, -1, -1, Infinity] - 1099520*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, -1, 1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/144 - (523*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (953693*S[2, Infinity]^4)/392000 + 
   ((335*S[-1, Infinity]^2)/56 + (6941*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 - 
     (8745*S[-1, Infinity]*S[2, Infinity])/448 + (6743*S[3, Infinity])/896)*
    S[5, Infinity] - (7167*S[-1, Infinity]*S[7, Infinity])/448 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(37*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-27*S[-1, Infinity]^4)/70 + 
     (123*S[-1, 1, 1, 1, Infinity])/70) + 
   (-97920*S[-7, -1, Infinity] - 41057*S[5, 3, Infinity] - 
     43520*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-223*S[-1, Infinity]^5)/1680 - 
     (1159*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2199*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (94*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-10*S[-5, -1, Infinity] - 
       21*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, -1, 1, -1, -2, Infinity] -> S[-1, Infinity]^8/144 + 
   (22*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (112321*S[2, Infinity]^4)/
    19600 + ((697*S[-1, Infinity]^2)/256 - (6917*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 - 
     (627*S[-1, Infinity]*S[2, Infinity])/128 + (80755*S[3, Infinity])/1792)*
    S[5, Infinity] - (7167*S[-1, Infinity]*S[7, Infinity])/448 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(37*S[-5, 1, 1, Infinity] + 16*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-193*S[-1, Infinity]^4)/280 - 
     (51*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (270528*S[-7, -1, Infinity] + 43235*S[5, 3, Infinity] + 
     4352*S[-5, -1, -1, -1, Infinity] + 70912*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-1957*S[-1, Infinity]^5)/6720 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (741*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1817*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-785*S[-5, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, 2, -1, 1, -2, 1, Infinity] -> S[-1, Infinity]^8/280 + 
   (1623*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (8990921*S[2, Infinity]^4)/784000 + 
   ((845*S[-1, Infinity]^2)/64 - (77725*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3379*S[-1, Infinity]^3)/64 + 
     (9555*S[-1, Infinity]*S[2, Infinity])/64 + (779749*S[3, Infinity])/7168)*
    S[5, Infinity] + (119155*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((451*S[-1, Infinity]^4)/672 - 
     (283*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-587*S[-1, Infinity]^5)/672 + (6185*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (49329*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (2935*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 - 
     (3*(3247*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(-113*S[-5, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(275*S[-5, 1, 1, Infinity] - 488*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (22898880*S[-7, -1, Infinity] + 4036489*S[5, 3, Infinity] + 
     3027200*S[-5, -1, -1, -1, Infinity] + 
     1811200*S[-5, -1, 1, 1, Infinity] - 8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, -1, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/70 + (7*S[-1, Infinity]^2*S[2, Infinity]^3)/4 + 
   (421289*S[2, Infinity]^4)/56000 + ((38183*S[-1, Infinity]^2)/1792 - 
     (959*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-3379*S[-1, Infinity]^3)/64 - (50577*S[-1, Infinity]*S[2, Infinity])/
      896 - (5839*S[3, Infinity])/128)*S[5, Infinity] + 
   (119155*S[-1, Infinity]*S[7, Infinity])/448 + 
   (-137280*S[-7, -1, Infinity] - 12541*S[5, 3, Infinity] + 
     21760*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*((169*S[-1, Infinity]^4)/60 + 
     (47*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((199*S[-1, Infinity]^5)/960 + (35*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (10881*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (199*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/48 + 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(89*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-163*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(275*S[-5, 1, 1, Infinity] - 488*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, 2, -1, -1, 2, 1, Infinity] -> (533*S[-1, Infinity]^8)/40320 + 
   (6245*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (612643*S[2, Infinity]^4)/22400 + 
   ((965*S[-1, Infinity]^2)/28 - (1271*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/2 + (7453*S[-1, Infinity]*S[2, Infinity])/28 + 
     (56001*S[3, Infinity])/256)*S[5, Infinity] + 
   (109265*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((397*S[-1, Infinity]^4)/320 - 
     (861*S[-1, 1, 1, 1, Infinity])/40) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/40 + 
     (461*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (84939*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     232*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-37*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(497*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-781*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (4*S[-1, Infinity]*(85*S[-5, 1, 1, Infinity] - 
      111*S[5, -1, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (323968*S[-7, -1, Infinity] + 54409*S[5, 3, Infinity] + 
     38912*S[-5, -1, -1, -1, Infinity] + 29056*S[-5, -1, 1, 1, Infinity] + 
     896*S[-1, 1, 1, 1, Infinity]^2 - 122880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/256, S[-1, 2, -1, -1, 2, -1, Infinity] -> 
  (107*S[-1, Infinity]^8)/2520 + (2817*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (82979*S[2, Infinity]^4)/28000 + 
   ((5393*S[-1, Infinity]^2)/112 - (457*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/2 - 
     (5989*S[-1, Infinity]*S[2, Infinity])/56 + (417*S[3, Infinity])/8)*
    S[5, Infinity] + (109265*S[-1, Infinity]*S[7, Infinity])/224 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((18*S[-1, Infinity]^4)/5 + (21*S[-1, 1, 1, 1, Infinity])/
      5) + (14080*S[-7, -1, Infinity] + 3427*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/40 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (633*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     34*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/4 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     6*(S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (12*S[-1, Infinity]^2*(-19*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (4*S[-1, Infinity]*(85*S[-5, 1, 1, Infinity] - 
      111*S[5, -1, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7, 
 S[-1, 2, -1, -1, 1, 2, Infinity] -> (323*S[-1, Infinity]^8)/40320 - 
   (2797*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (12633857*S[2, Infinity]^4)/392000 + 
   ((-211*S[-1, Infinity]^2)/28 + (115233*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((4681*S[-1, Infinity]^3)/128 - 
     (16307*S[-1, Infinity]*S[2, Infinity])/56 - (65557*S[3, Infinity])/448)*
    S[5, Infinity] - (1314973*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (542*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((2389*S[-1, Infinity]^4)/3360 + 
     (1469*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((727*S[-1, Infinity]^5)/448 - 
     (10849*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (294227*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1385*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-5651*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (S[-1, Infinity]*(-536*S[-5, 1, 1, Infinity] + 
      521*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-4812240*S[-7, -1, Infinity] - 768967*S[5, 3, Infinity] - 
     522240*S[-5, -1, -1, -1, Infinity] - 438720*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2 + 2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 2, -1, -1, 1, -2, Infinity] -> 
  (103*S[-1, Infinity]^8)/20160 - (1753*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (6898637*S[2, Infinity]^4)/392000 + 
   ((-24499*S[-1, Infinity]^2)/1792 + (104745*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4681*S[-1, Infinity]^3)/128 - 
     (82865*S[-1, Infinity]*S[2, Infinity])/896 - (482551*S[3, Infinity])/
      7168)*S[5, Infinity] - (1314973*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-1339*S[-1, Infinity]^4)/1680 + 
     (779*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((391*S[-1, Infinity]^5)/560 - (1159*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (245407*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (4867*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + (7779*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(1157*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-536*S[-5, 1, 1, Infinity] + 
      521*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-17628480*S[-7, -1, Infinity] - 2753381*S[5, 3, Infinity] - 
     1777920*S[-5, -1, -1, -1, Infinity] - 
     1662720*S[-5, -1, 1, 1, Infinity] + 179200*S[-1, 1, 1, 1, Infinity]^2 + 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 2, -1, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/210 - 
   (2749*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (20623*S[2, Infinity]^4)/1000 + ((-2015*S[-1, Infinity]^2)/112 + 
     (4437*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((775*S[-1, Infinity]^3)/16 - (12437*S[-1, Infinity]*S[2, Infinity])/112 - 
     (17397*S[3, Infinity])/256)*S[5, Infinity] - 
   (56193*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/20 + 
     (57*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/20 - 8*S[-1, Infinity]^3*S[2, Infinity] - 
     (77599*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     114*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/360 + (361*S[-5, -1, Infinity] - 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (2*S[-1, Infinity]^2*(-179*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (2*S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 94*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-807680*S[-7, -1, Infinity] - 123701*S[5, 3, Infinity] - 
     81920*S[-5, -1, -1, -1, Infinity] - 72960*S[-5, -1, 1, 1, Infinity] + 
     409600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1280, 
 S[-1, 2, -1, -1, -1, -2, Infinity] -> S[-1, Infinity]^8/105 - 
   (9117*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1042127*S[2, Infinity]^4)/24500 + 
   ((-369*S[-1, Infinity]^2)/56 + (157425*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((775*S[-1, Infinity]^3)/16 - 
     (44309*S[-1, Infinity]*S[2, Infinity])/112 - (88959*S[3, Infinity])/448)*
    S[5, Infinity] - (56193*S[-1, Infinity]*S[7, Infinity])/224 + 
   (718*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((159*S[-1, Infinity]^4)/112 + 
     (904*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((226*S[-1, Infinity]^5)/105 - (841*S[-1, Infinity]^3*S[2, Infinity])/
      42 - (24523*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (1808*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/48 + 
     (2781*S[-5, -1, Infinity] + 77*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 94*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-3210880*S[-7, -1, Infinity] - 515351*S[5, 3, Infinity] - 
     355840*S[-5, -1, -1, -1, Infinity] - 289280*S[-5, -1, 1, 1, Infinity] + 
     1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[-1, 2, -1, -1, -2, 1, Infinity] -> -S[-1, Infinity]^8/56 + 
   (4269*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (664757*S[2, Infinity]^4)/98000 + ((1295*S[-1, Infinity]^2)/128 - 
     (58055*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-9145*S[-1, Infinity]^3)/192 + (11623*S[-1, Infinity]*S[2, Infinity])/
      128 + (265487*S[3, Infinity])/7168)*S[5, Infinity] + 
   (28233*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((3193*S[-1, Infinity]^4)/3360 - 
     (1373*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-783*S[-1, Infinity]^5)/2240 + 
     (2207*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (29083*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (2629*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(-731*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-287*S[-5, -1, Infinity] - 
      192*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(247*S[-5, 1, 1, Infinity] - 460*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (14749760*S[-7, -1, Infinity] + 2695849*S[5, 3, Infinity] + 
     2238720*S[-5, -1, -1, -1, Infinity] + 861440*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, -1, -1, -2, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/280 + (7351*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (3591033*S[2, Infinity]^4)/98000 + 
   ((-905*S[-1, Infinity]^2)/112 - (25231*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-9145*S[-1, Infinity]^3)/192 + 
     (240665*S[-1, Infinity]*S[2, Infinity])/448 + (58615*S[3, Infinity])/
      224)*S[5, Infinity] + (28233*S[-1, Infinity]*S[7, Infinity])/112 - 
   (1747*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-184*S[-1, Infinity]^4)/105 - 
     (1139*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-617*S[-1, Infinity]^5)/280 + 
     (4549*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (117149*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1886*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/180 - (3160*S[-5, -1, Infinity])/
      7 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(247*S[-5, 1, 1, Infinity] - 460*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (116700*S[-7, -1, Infinity] + 20123*S[5, 3, Infinity] + 
     15000*S[-5, -1, -1, -1, Infinity] + 9640*S[-5, -1, 1, 1, Infinity] - 
     560*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/70, S[-1, 2, -1, -2, 1, 1, Infinity] -> 
  (53*S[-1, Infinity]^8)/8064 - (597*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (5562901*S[2, Infinity]^4)/784000 + 
   ((-13861*S[-1, Infinity]^2)/896 + (24201*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((7595*S[-1, Infinity]^3)/192 - 
     (4369*S[-1, Infinity]*S[2, Infinity])/448 - (34555*S[3, Infinity])/3584)*
    S[5, Infinity] - (1452345*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-2507*S[-1, Infinity]^4)/6720 + 
     (1737*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((251*S[-1, Infinity]^5)/560 - 
     (1807*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (57539*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (289*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (8*(86*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(605*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-586*S[-5, 1, 1, Infinity] + 
      653*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-2723200*S[-7, -1, Infinity] - 403601*S[5, 3, Infinity] - 
     267520*S[-5, -1, -1, -1, Infinity] - 247680*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, -1, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/140 + (587*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (143159*S[2, Infinity]^4)/56000 + ((-2237*S[-1, Infinity]^2)/112 - 
     (193*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((7595*S[-1, Infinity]^3)/192 + (32527*S[-1, Infinity]*S[2, Infinity])/
      224 + (10051*S[3, Infinity])/1024)*S[5, Infinity] - 
   (1452345*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-931*S[-1, Infinity]^4)/480 + 
     (9*S[-1, 1, 1, 1, Infinity])/4) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-283*S[-1, Infinity]^5)/960 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (132959*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (243*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-487*S[-5, -1, Infinity] + 
      2016*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((91*S[-1, Infinity]^6)/720 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (25*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-241*S[-5, -1, Infinity] + 
       144*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(-586*S[-5, 1, 1, Infinity] + 
      653*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (873280*S[-7, -1, Infinity] + 133153*S[5, 3, Infinity] + 
     103680*S[-5, -1, -1, -1, Infinity] + 62720*S[-5, -1, 1, 1, Infinity] + 
     40960*S[-1, 1, 1, 1, Infinity]^2 - 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 2, -1, -2, -1, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/1008 + (3673*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (3003797*S[2, Infinity]^4)/392000 + 
   ((177*S[-1, Infinity]^2)/32 + (2323*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-3131*S[-1, Infinity]^3)/192 - 
     (4913*S[-1, Infinity]*S[2, Infinity])/128 - (167603*S[3, Infinity])/
      7168)*S[5, Infinity] + (4335*S[-1, Infinity]*S[7, Infinity])/112 - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 124*S[5, -1, -1, Infinity]))/
    14 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((4481*S[-1, Infinity]^4)/3360 + 
     (321*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((939*S[-1, Infinity]^5)/2240 - 
     (221*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (11483*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (2397*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] + 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/720 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (607*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-3667520*S[-7, -1, Infinity] - 320521*S[5, 3, Infinity] - 
     144640*S[-5, -1, -1, -1, Infinity] - 375040*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, -1, -2, -1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/840 - (2397*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (859553*S[2, Infinity]^4)/49000 + 
   ((639*S[-1, Infinity]^2)/56 + (2305*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-3131*S[-1, Infinity]^3)/192 - (122713*S[-1, Infinity]*S[2, Infinity])/
      448 - (2029*S[3, Infinity])/28)*S[5, Infinity] + 
   (4335*S[-1, Infinity]*S[7, Infinity])/112 + 
   (519*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 124*S[5, -1, -1, Infinity]))/
    14 + (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((671*S[-1, Infinity]^4)/210 + 
     (207*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((101*S[-1, Infinity]^5)/70 - (87*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (25337*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (792*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/180 + (1324*S[-5, -1, Infinity])/
      7 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (-776960*S[-7, -1, Infinity] - 123131*S[5, 3, Infinity] - 
     84480*S[-5, -1, -1, -1, Infinity] - 67840*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, 2, -2, 1, 1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1152 + (137*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (10013*S[2, Infinity]^4)/5600 + 
   ((69*S[-1, Infinity]^2)/16 + (27*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 - (157*S[-1, Infinity]*S[2, Infinity])/64 + 
     (5095*S[3, Infinity])/512)*S[5, Infinity] - 
   (9279*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((191*S[-1, Infinity]^4)/960 + 
     (19*S[-1, 1, 1, 1, Infinity])/40) - 
   (23*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/8 + 
     (57*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (103*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (157*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-193*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     2*(-5*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (2624*S[-7, -1, Infinity] - 1271*S[5, 3, Infinity] - 
     2048*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] + 
     4864*S[-1, 1, 1, 1, Infinity]^2 - 2048*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[-1, 2, -2, 1, 1, -1, Infinity] -> 
  (157*S[-1, Infinity]^8)/10080 + (781*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (5104367*S[2, Infinity]^4)/784000 + 
   ((7849*S[-1, Infinity]^2)/1792 - (6231*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 + 
     (1831*S[-1, Infinity]*S[2, Infinity])/224 + (176209*S[3, Infinity])/
      7168)*S[5, Infinity] - (9279*S[-1, Infinity]*S[7, Infinity])/512 - 
   (195*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-289*S[-1, Infinity]^4)/1120 + 
     (95*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2867*S[-1, Infinity]^5)/6720 + 
     (143*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (39597*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (379*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/240 - (491*S[-5, -1, Infinity])/
      14 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (2465600*S[-7, -1, Infinity] + 258253*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 503040*S[-5, -1, 1, 1, Infinity] + 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, -2, 1, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/1120 + (45*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (174481*S[2, Infinity]^4)/112000 + 
   ((10393*S[-1, Infinity]^2)/1792 - (1825*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]^3)/64 - 
     (2129*S[-1, Infinity]*S[2, Infinity])/448 + (31007*S[3, Infinity])/1024)*
    S[5, Infinity] + (221257*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((77*S[-1, Infinity]^4)/480 + 
     (3*S[-1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/6 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (27491*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (3*(49*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-193*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(72*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (208960*S[-7, -1, Infinity] + 51419*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
     20480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, 2, -2, 1, -1, -1, Infinity] -> (37*S[-1, Infinity]^8)/1680 + 
   (3461*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (115743*S[2, Infinity]^4)/24500 + ((10709*S[-1, Infinity]^2)/1792 - 
     (3595*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-775*S[-1, Infinity]^3)/64 + (251*S[-1, Infinity]*S[2, Infinity])/896 + 
     (39217*S[3, Infinity])/3584)*S[5, Infinity] + 
   (221257*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/3360 + 
     (549*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-223*S[-1, Infinity]^5)/1344 + 
     (1031*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (9237*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (429*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (199*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-121*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(72*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-182080*S[-7, -1, Infinity] - 7201*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] - 48000*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 322560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 2, -2, -1, 1, 1, Infinity] -> 
  (-289*S[-1, Infinity]^8)/40320 - (881*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (15109*S[2, Infinity]^4)/784000 + 
   ((-905*S[-1, Infinity]^2)/448 + (2763*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/96 - 
     (1985*S[-1, Infinity]*S[2, Infinity])/56 - (148507*S[3, Infinity])/3584)*
    S[5, Infinity] + (141713*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1177*S[-1, Infinity]^4)/2240 + 
     (437*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((619*S[-1, Infinity]^5)/3360 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (6057*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((109*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-387*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(703*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-116*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-7670*S[-7, -1, Infinity] - 1931*S[5, 3, Infinity] - 
     1480*S[-5, -1, -1, -1, Infinity] - 1040*S[-5, -1, 1, 1, Infinity] - 
     210*S[-1, 1, 1, 1, Infinity]^2 - 3360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/140, S[-1, 2, -2, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/60 - (3301*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (168757*S[2, Infinity]^4)/392000 + 
   ((-331*S[-1, Infinity]^2)/128 + (10035*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/96 - 
     (2815*S[-1, Infinity]*S[2, Infinity])/64 - (308201*S[3, Infinity])/7168)*
    S[5, Infinity] + (141713*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-229*S[-1, Infinity]^4)/1120 - 
     (573*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((313*S[-1, Infinity]^5)/1344 - 
     (255*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (9277*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1481*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (29*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (513*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(89*S[-5, -1, Infinity] - 
      64*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-116*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2013120*S[-7, -1, Infinity] - 478571*S[5, 3, Infinity] - 
     357120*S[-5, -1, -1, -1, Infinity] - 162560*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 2, -2, -1, -1, 1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/1008 - (1227*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (4067711*S[2, Infinity]^4)/392000 + 
   ((325*S[-1, Infinity]^2)/1792 + (32133*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/16 - 
     (49165*S[-1, Infinity]*S[2, Infinity])/896 - (49533*S[3, Infinity])/
      7168)*S[5, Infinity] - (274485*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/280 - 
     (31*S[-1, 1, 1, 1, Infinity])/7) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-1129*S[-1, Infinity]^5)/6720 - (971*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (50403*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (443*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-109*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(733*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-16*S[-5, 1, 1, Infinity] + 159*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1958080*S[-7, -1, Infinity] - 602587*S[5, 3, Infinity] - 
     874240*S[-5, -1, -1, -1, Infinity] + 282880*S[-5, -1, 1, 1, Infinity] - 
     860160*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 2, -2, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/840 - 
   (499*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (134163*S[2, Infinity]^4)/
    14000 + ((51*S[-1, Infinity]^2)/28 + (485*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/16 - 
     (4903*S[-1, Infinity]*S[2, Infinity])/224 - (1171*S[3, Infinity])/128)*
    S[5, Infinity] - (274485*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (78*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/15 + 
     (16*S[-1, 1, 1, 1, Infinity])/5) + 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/120 - (61*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (1187*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     21*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((19*S[-1, Infinity]^6)/180 - 20*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-16*S[-5, 1, 1, Infinity] + 159*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-2087*S[5, 3, Infinity] - 3200*S[-5, -1, -1, -1, Infinity] + 
     1920*S[-5, -1, 1, 1, Infinity] + 1280*S[-1, 1, 1, 1, Infinity]^2 - 
     10240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/160, 
 S[-1, 1, 3, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/2016 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/48 - (199229*S[2, Infinity]^4)/
    588000 + ((-311*S[-1, Infinity]^2)/896 - (607*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (445*S[-1, Infinity]*S[2, Infinity])/448 - (19717*S[3, Infinity])/7168)*
    S[5, Infinity] + (68555*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/3360 + 
     (29*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/1120 - (3*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1051*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + (29*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (191040*S[-7, -1, Infinity] + 39933*S[5, 3, Infinity] + 
     37120*S[-5, -1, -1, -1, Infinity] - 37120*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 3, 1, 1, -1, Infinity] -> 
  (9*S[-1, Infinity]^8)/2240 - (1009*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (170629*S[2, Infinity]^4)/147000 + 
   ((1273*S[-1, Infinity]^2)/896 + (11077*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 - 
     (4167*S[-1, Infinity]*S[2, Infinity])/112 - (124777*S[3, Infinity])/
      7168)*S[5, Infinity] + (68555*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (363*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((271*S[-1, Infinity]^4)/1120 + 
     (321*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((239*S[-1, Infinity]^5)/2240 - 
     (607*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (56999*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (94*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (621*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2973120*S[-7, -1, Infinity] - 556827*S[5, 3, Infinity] - 
     413440*S[-5, -1, -1, -1, Infinity] - 231680*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 3, 1, -1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/10080 + (29*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (11713*S[2, Infinity]^4)/8400 + 
   ((-8651*S[-1, Infinity]^2)/1792 + (439*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((3875*S[-1, Infinity]^3)/384 + 
     (14799*S[-1, Infinity]*S[2, Infinity])/896 + (155*S[3, Infinity])/512)*
    S[5, Infinity] - (19751*S[-1, Infinity]*S[7, Infinity])/448 + 
   (93*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   2*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]^2*
    ((-35*S[-1, Infinity]^4)/48 + (19*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/30 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (57*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-19*S[-5, -1, Infinity] + 
       32*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(-57*S[-5, 1, 1, Infinity] + 83*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, 1, 3, 1, -1, -1, Infinity] -> (-13*S[-1, Infinity]^8)/4480 - 
   (1979*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (427*S[2, Infinity]^4)/2400 + ((-8651*S[-1, Infinity]^2)/1792 - 
     (67*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/16 + (3971*S[-1, Infinity]*S[2, Infinity])/224)*
    S[5, Infinity] - (19751*S[-1, Infinity]*S[7, Infinity])/448 + 
   (93*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-319*S[-1, Infinity]^4)/480 - 
     (11*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[-1, 1, 1, 1, Infinity]^2/2 + S[3, Infinity]*(-S[-1, Infinity]^5/64 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (877*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + (3*S[-5, -1, Infinity])/4 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-57*S[-5, 1, 1, Infinity] + 83*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, 1, 3, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/105 - 
   (1867*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (565273*S[2, Infinity]^4)/470400 + 
   ((-559*S[-1, Infinity]^2)/1792 + (15669*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((899*S[-1, Infinity]^3)/384 - 
     (24317*S[-1, Infinity]*S[2, Infinity])/896 - (6007*S[3, Infinity])/896)*
    S[5, Infinity] - (11263*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((151*S[-1, Infinity]^4)/3360 - 
     (221*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((403*S[-1, Infinity]^5)/2240 - 
     (461*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (16321*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (223*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(107*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-23*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-7*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-59488*S[-7, -1, Infinity] - 11901*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 2048*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 21504*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, 1, 3, -1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/5040 - (227*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - 
   (2359111*S[2, Infinity]^4)/1176000 + 
   ((-1207*S[-1, Infinity]^2)/1792 + (5255*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/384 - 
     (13933*S[-1, Infinity]*S[2, Infinity])/896 + (26661*S[3, Infinity])/
      3584)*S[5, Infinity] - (11263*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-503*S[-1, Infinity]^4)/1680 - 
     (69*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((131*S[-1, Infinity]^5)/1680 - 
     (1091*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (6337*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (51*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/144 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (31*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(71*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-7*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-374720*S[-7, -1, Infinity] - 75857*S[5, 3, Infinity] - 
     81920*S[-5, -1, -1, -1, Infinity] + 19200*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 3, -1, -1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/2688 - (2437*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (624761*S[2, Infinity]^4)/588000 + 
   ((-109*S[-1, Infinity]^2)/56 - (6873*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 + 
     (10029*S[-1, Infinity]*S[2, Infinity])/896 + (15999*S[3, Infinity])/
      7168)*S[5, Infinity] + (3055*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((-171*S[-1, Infinity]^4)/1120 - 
     (31*S[-1, 1, 1, 1, Infinity])/35) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/1344 - 
     (S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (10229*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((49*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-223*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-57*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-67*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(-425280*S[-7, -1, Infinity] - 90609*S[5, 3, Infinity] - 
      75520*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, 1, 3, -1, -1, -1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/6720 - (2003*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (1273961*S[2, Infinity]^4)/470400 + 
   ((127*S[-1, Infinity]^2)/448 + (3275*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (8637*S[-1, Infinity]*S[2, Infinity])/224 - (196429*S[3, Infinity])/
      7168)*S[5, Infinity] + (3055*S[-1, Infinity]*S[7, Infinity])/224 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((869*S[-1, Infinity]^4)/3360 + 
     (293*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((293*S[-1, Infinity]^5)/1680 - 
     (16*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (60533*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (467*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(387*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1123*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-67*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-566848*S[-7, -1, Infinity] - 109999*S[5, 3, Infinity] - 
     68352*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] + 
     157696*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, 2, 2, 1, 1, Infinity] -> (29*S[-1, Infinity]^8)/8064 + 
   (111*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (118763*S[2, Infinity]^4)/
    196000 + ((2943*S[-1, Infinity]^2)/896 + (4257*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 + 
     (4101*S[-1, Infinity]*S[2, Infinity])/896 + (39713*S[3, Infinity])/3584)*
    S[5, Infinity] - (205665*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((997*S[-1, Infinity]^4)/6720 - 
     (87*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-263*S[-1, Infinity]^5)/1344 + 
     (1021*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (10637*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (145*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-121*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (3*S[-1, Infinity]^2*(55*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-69840*S[-7, -1, Infinity] - 13381*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, 2, 2, 1, -1, Infinity] -> 
  (-51*S[-1, Infinity]^8)/4480 + (12*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + 
   (179223*S[2, Infinity]^4)/98000 + 
   ((485*S[-1, Infinity]^2)/448 - (591*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 + 
     (12051*S[-1, Infinity]*S[2, Infinity])/448 + (34353*S[3, Infinity])/
      1792)*S[5, Infinity] - (205665*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((6473*S[-1, Infinity]^4)/6720 + 
     (121*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-116320*S[-7, -1, Infinity] + 38671*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/420 + 
     (1265*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (4807*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-353*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/32 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (305*S[-5, -1, Infinity] + 1008*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, 1, 2, 2, -1, 1, Infinity] -> (331*S[-1, Infinity]^8)/40320 + 
   (1213*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1780531*S[2, Infinity]^4)/392000 + 
   ((2085*S[-1, Infinity]^2)/448 + (209*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 - 
     (2843*S[-1, Infinity]*S[2, Infinity])/224 + (139149*S[3, Infinity])/
      3584)*S[5, Infinity] - (272365*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1037*S[-1, Infinity]^4)/6720 - 
     (771*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-179*S[-1, Infinity]^5)/1680 + 
     (323*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1163*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (107*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(355*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-121*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(136*S[-5, 1, 1, Infinity] + 171*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (440000*S[-7, -1, Infinity] - 36011*S[5, 3, Infinity] - 
     181760*S[-5, -1, -1, -1, Infinity] + 320640*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 2, 2, -1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/504 + (4149*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (459689*S[2, Infinity]^4)/392000 + 
   ((567*S[-1, Infinity]^2)/64 + (865*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/32 - (1433*S[-1, Infinity]*S[2, Infinity])/64 + 
     (35765*S[3, Infinity])/896)*S[5, Infinity] - 
   (272365*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-831*S[-1, Infinity]^4)/1120 + 
     (309*S[-1, 1, 1, 1, Infinity])/140) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-3629*S[-1, Infinity]^5)/6720 - (221*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (1999*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (59*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (391*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-207*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] + 
      48*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(136*S[-5, 1, 1, Infinity] + 171*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-190240*S[-7, -1, Infinity] - 64747*S[5, 3, Infinity] - 
     118400*S[-5, -1, -1, -1, Infinity] + 111680*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, 2, 1, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/384 - (1181*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (522023*S[2, Infinity]^4)/784000 + 
   ((319*S[-1, Infinity]^2)/1792 - (5559*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/128 - 
     (4371*S[-1, Infinity]*S[2, Infinity])/896 + (4731*S[3, Infinity])/3584)*
    S[5, Infinity] + (167991*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((499*S[-1, Infinity]^4)/6720 + 
     (131*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + (199*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (37760*S[-7, -1, Infinity] + 41539*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/1680 + 
     (S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (2879*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/28), S[-1, 1, 2, 1, 2, -1, Infinity] -> 
  (7*S[-1, Infinity]^8)/384 + (29*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (337819*S[2, Infinity]^4)/784000 + 
   ((589*S[-1, Infinity]^2)/1792 - (3363*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 - 
     (1221*S[-1, Infinity]*S[2, Infinity])/448 + (44349*S[3, Infinity])/3584)*
    S[5, Infinity] + (167991*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    28 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1411*S[-1, Infinity]^4)/3360 + 
     (233*S[-1, 1, 1, 1, Infinity])/70) + 
   (168640*S[-7, -1, Infinity] + 17519*S[5, 3, Infinity] + 
     14720*S[-5, -1, -1, -1, Infinity] + 39040*S[-5, -1, 1, 1, Infinity] + 
     94080*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-227*S[-1, Infinity]^5)/1680 - 
     (499*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (569*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (349*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 - (551*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 2, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/384 + 
   (209*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - 
   (273419*S[2, Infinity]^4)/1176000 + 
   ((859*S[-1, Infinity]^2)/896 - (3669*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 + 
     (5129*S[-1, Infinity]*S[2, Infinity])/448 + (27347*S[3, Infinity])/3584)*
    S[5, Infinity] + (8233*S[-1, Infinity]*S[7, Infinity])/896 - 
   (127*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((67*S[-1, Infinity]^4)/840 - 
     (93*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (633280*S[-7, -1, Infinity] + 136327*S[5, 3, Infinity] + 
     88320*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/2240 + 
     (16*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (2967*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (78*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/720 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-249*S[-5, -1, Infinity] - 
       140*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, 2, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/128 + 
   (3103*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (418717*S[2, Infinity]^4)/168000 + 
   ((2645*S[-1, Infinity]^2)/1792 - (917*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/48 + 
     (1979*S[-1, Infinity]*S[2, Infinity])/224 + (4169*S[3, Infinity])/1024)*
    S[5, Infinity] + (8233*S[-1, Infinity]*S[7, Infinity])/896 - 
   (151*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/96 - 
     (3*S[-1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (105280*S[-7, -1, Infinity] + 4033*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 19200*S[-5, -1, 1, 1, Infinity] - 
     23040*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/320 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (1053*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/360 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (5*(3*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[-1, 1, 2, 1, -1, 2, Infinity] -> -S[-1, Infinity]^8/320 + 
   (221*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (4219043*S[2, Infinity]^4)/294000 + 
   ((3991*S[-1, Infinity]^2)/1792 - (62269*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-6293*S[-1, Infinity]^3)/384 + 
     (43625*S[-1, Infinity]*S[2, Infinity])/896 + (96953*S[3, Infinity])/
      3584)*S[5, Infinity] + (57273*S[-1, Infinity]*S[7, Infinity])/512 - 
   (1025*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/56 - (215*S[-1, 1, 1, 1, Infinity])/
      28) + (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-479*S[-1, Infinity]^5)/2240 + 
     (193*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (61477*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (47*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1541*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-1431*S[-5, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] - 
      25*S[5, -1, -1, Infinity] - 96*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (5338880*S[-7, -1, Infinity] + 759651*S[5, 3, Infinity] + 
     508160*S[-5, -1, -1, -1, Infinity] + 531200*S[-5, -1, 1, 1, Infinity] - 
     89600*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 2, 1, -1, -2, Infinity] -> 
  (-179*S[-1, Infinity]^8)/40320 + (7757*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (4936621*S[2, Infinity]^4)/336000 + 
   ((-623*S[-1, Infinity]^2)/256 - (16937*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-1023*S[-1, Infinity]^3)/64 + 
     (18873*S[-1, Infinity]*S[2, Infinity])/128 + (16265*S[3, Infinity])/256)*
    S[5, Infinity] + (57273*S[-1, Infinity]*S[7, Infinity])/512 - 
   (279*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/5 - (49*S[-1, 1, 1, 1, Infinity])/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-159*S[-1, Infinity]^5)/320 + 
     (571*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (9659*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (47*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     89*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/80 - (565*S[-5, -1, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
      96*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (679680*S[-7, -1, Infinity] + 110997*S[5, 3, Infinity] + 
     78720*S[-5, -1, -1, -1, Infinity] + 55680*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2 - 307200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, 1, 2, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/128 + (23*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (48127*S[2, Infinity]^4)/98000 + ((2453*S[-1, Infinity]^2)/1792 - 
     (2409*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/64 - (1275*S[-1, Infinity]*S[2, Infinity])/224 + 
     (9225*S[3, Infinity])/3584)*S[5, Infinity] + 
   (65271*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (9*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-1363*S[-1, Infinity]^4)/6720 - 
     (527*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/32 - (169*S[-5, -1, Infinity])/14 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (181280*S[-7, -1, Infinity] - 4469*S[5, 3, Infinity] - 
     7040*S[-5, -1, -1, -1, Infinity] + 54080*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((521*S[-1, Infinity]^5)/6720 - 
     (311*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (223*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     S[-1, 1, 1, 1, 1, Infinity]/14), S[-1, 1, 2, 1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (671*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (117713*S[2, Infinity]^4)/784000 + 
   ((1913*S[-1, Infinity]^2)/1792 - (1173*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/128 - 
     (8055*S[-1, Infinity]*S[2, Infinity])/896 - (4659*S[3, Infinity])/3584)*
    S[5, Infinity] + (65271*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (9*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((131*S[-1, Infinity]^4)/672 - 
     (131*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (401920*S[-7, -1, Infinity] + 52931*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] + 42880*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((341*S[-1, Infinity]^5)/6720 - 
     (131*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (871*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - (239*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 2, -1, 2, 1, Infinity] -> -S[-1, Infinity]^8/576 + 
   (557*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (1015613*S[2, Infinity]^4)/196000 + 
   ((2715*S[-1, Infinity]^2)/448 - (18503*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1581*S[-1, Infinity]^3)/64 + 
     (19025*S[-1, Infinity]*S[2, Infinity])/224 + (13355*S[3, Infinity])/448)*
    S[5, Infinity] + (509995*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((163*S[-1, Infinity]^4)/6720 + 
     (397*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-3007*S[-1, Infinity]^5)/6720 + 
     (2699*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (79263*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (319*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/480 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-179*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (3*S[-1, Infinity]^2*(215*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(146*S[-5, 1, 1, Infinity] - 211*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (4401280*S[-7, -1, Infinity] + 745459*S[5, 3, Infinity] + 
     657920*S[-5, -1, -1, -1, Infinity] + 175360*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 2150400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 2, -1, 2, -1, Infinity] -> 
  (-73*S[-1, Infinity]^8)/3360 + (739*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 - (882283*S[2, Infinity]^4)/78400 + 
   ((33*S[-1, Infinity]^2)/112 - (17767*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-8215*S[-1, Infinity]^3)/384 + 
     (181065*S[-1, Infinity]*S[2, Infinity])/896 + (56719*S[3, Infinity])/
      896)*S[5, Infinity] + (509995*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-443*S[-1, Infinity]^4)/336 - 
     (338*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-5863*S[-1, Infinity]^5)/6720 + 
     (3439*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (35055*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (676*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-1219*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((107*S[-1, Infinity]^6)/720 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-4769*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(146*S[-5, 1, 1, Infinity] - 211*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1157824*S[-7, -1, Infinity] + 190013*S[5, 3, Infinity] + 
     139264*S[-5, -1, -1, -1, Infinity] + 90112*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, 1, 2, -1, 1, 2, Infinity] -> 
  (-7*S[-1, Infinity]^8)/960 - (3011*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (3553973*S[2, Infinity]^4)/336000 + 
   ((-13495*S[-1, Infinity]^2)/1792 + (10075*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((8525*S[-1, Infinity]^3)/384 - 
     (69761*S[-1, Infinity]*S[2, Infinity])/896 - (749*S[3, Infinity])/32)*
    S[5, Infinity] - (364039*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (1551*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/64 + 
     (37*S[-1, 1, 1, 1, Infinity])/8) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/32 - (517*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (87049*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (115*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((131*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (611*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-134*S[-5, 1, 1, Infinity] + 
      181*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-412160*S[-7, -1, Infinity] - 63501*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 33280*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2 + 204800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, 1, 2, -1, 1, -2, Infinity] -> 
  (37*S[-1, Infinity]^8)/20160 - (971*S[-1, Infinity]^2*S[2, Infinity]^3)/
    120 + (39062717*S[2, Infinity]^4)/2352000 + 
   ((-6115*S[-1, Infinity]^2)/1792 + (133979*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1395*S[-1, Infinity]^3)/64 - 
     (145611*S[-1, Infinity]*S[2, Infinity])/896 - (349231*S[3, Infinity])/
      3584)*S[5, Infinity] - (364039*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (2371*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((621*S[-1, Infinity]^4)/1120 + 
     (619*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((215*S[-1, Infinity]^5)/224 - (6079*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (5057*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (710*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4625*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-134*S[-5, 1, 1, Infinity] + 
      181*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-10409600*S[-7, -1, Infinity] - 1736223*S[5, 3, Infinity] - 
     1205760*S[-5, -1, -1, -1, Infinity] - 944640*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 2, -1, -1, 2, Infinity] -> 
  (131*S[-1, Infinity]^8)/13440 - (11299*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 + (5234863*S[2, Infinity]^4)/168000 + 
   ((-263*S[-1, Infinity]^2)/32 + (18995*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((3255*S[-1, Infinity]^3)/64 - 
     (41197*S[-1, Infinity]*S[2, Infinity])/128 - (47767*S[3, Infinity])/256)*
    S[5, Infinity] - (239175*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (353*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((481*S[-1, Infinity]^4)/480 + 
     (87*S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    ((1703*S[-1, Infinity]^5)/960 - (823*S[-1, Infinity]^3*S[2, Infinity])/
      48 - (2333*S[-1, Infinity]*S[2, Infinity]^2)/16 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     211*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-47*S[-1, Infinity]^6)/480 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (2759*S[-5, -1, Infinity] - 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (3*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3*(-510240*S[-7, -1, Infinity] - 83359*S[5, 3, Infinity] - 
      58880*S[-5, -1, -1, -1, Infinity] - 46720*S[-5, -1, 1, 1, Infinity] + 
      640*S[-1, 1, 1, 1, Infinity]^2 + 204800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1280, S[-1, 1, 2, -1, -1, -2, Infinity] -> 
  (-47*S[-1, Infinity]^8)/2880 - (2437*S[-1, Infinity]^2*S[2, Infinity]^3)/
    240 + (9263129*S[2, Infinity]^4)/336000 + 
   ((-3769*S[-1, Infinity]^2)/256 + (27131*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((10013*S[-1, Infinity]^3)/192 - 
     (12001*S[-1, Infinity]*S[2, Infinity])/64 - (131075*S[3, Infinity])/
      1024)*S[5, Infinity] - (239175*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (521*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/96 + 
     (53*S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    ((1211*S[-1, Infinity]^5)/960 - (1091*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (60197*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (299*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/720 - 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (785*S[-5, -1, Infinity] + 
       204*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (3*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-3940160*S[-7, -1, Infinity] - 658617*S[5, 3, Infinity] - 
     469760*S[-5, -1, -1, -1, Infinity] - 354560*S[-5, -1, 1, 1, Infinity] - 
     15360*S[-1, 1, 1, 1, Infinity]^2 + 1638400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, 2, -1, -2, 1, Infinity] -> 
  (109*S[-1, Infinity]^8)/40320 + (6701*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (5472851*S[2, Infinity]^4)/392000 + 
   ((28687*S[-1, Infinity]^2)/1792 - (108093*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5301*S[-1, Infinity]^3)/128 + 
     (105547*S[-1, Infinity]*S[2, Infinity])/896 + (517659*S[3, Infinity])/
      7168)*S[5, Infinity] + (625515*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((869*S[-1, Infinity]^4)/1344 - 
     (575*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-949*S[-1, Infinity]^5)/1120 + 
     (6037*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (293201*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1441*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (2*(565*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-2761*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(673*S[-5, 1, 1, Infinity] - 524*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (19378880*S[-7, -1, Infinity] + 3016963*S[5, 3, Infinity] + 
     2080000*S[-5, -1, -1, -1, Infinity] + 
     1844480*S[-5, -1, 1, 1, Infinity] - 17920*S[-1, 1, 1, 1, Infinity]^2 - 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 2, -1, -2, -1, Infinity] -> S[-1, Infinity]^8/126 + 
   (3217*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (13295267*S[2, Infinity]^4)/784000 + 
   ((39055*S[-1, Infinity]^2)/1792 - (66601*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1085*S[-1, Infinity]^3)/24 + 
     (375*S[-1, Infinity]*S[2, Infinity])/224 + (415045*S[3, Infinity])/7168)*
    S[5, Infinity] + (625515*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((3673*S[-1, Infinity]^4)/1680 - 
     (216*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-373*S[-1, Infinity]^5)/1120 + 
     (2581*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (84887*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (577*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-67*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-1609*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(673*S[-5, 1, 1, Infinity] - 524*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (6429120*S[-7, -1, Infinity] + 1138283*S[5, 3, Infinity] + 
     605440*S[-5, -1, -1, -1, Infinity] + 774400*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 2, -2, 1, 1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/8064 - (621*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (231933*S[2, Infinity]^4)/196000 + 
   ((-4587*S[-1, Infinity]^2)/1792 + (7991*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/192 - 
     (10025*S[-1, Infinity]*S[2, Infinity])/448 + (8481*S[3, Infinity])/3584)*
    S[5, Infinity] + (11321*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1271*S[-1, Infinity]^4)/3360 + 
     (64*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((361*S[-1, Infinity]^5)/1680 - (479*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (7479*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(321*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-59*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-103*S[-5, 1, 1, Infinity] - 40*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-397440*S[-7, -1, Infinity] - 92509*S[5, 3, Infinity] - 
     96000*S[-5, -1, -1, -1, Infinity] + 37760*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 2, -2, 1, -1, Infinity] -> 
  (-157*S[-1, Infinity]^8)/13440 - (137*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 + (219001*S[2, Infinity]^4)/49000 + 
   ((-7363*S[-1, Infinity]^2)/1792 + (9659*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/192 - 
     (6807*S[-1, Infinity]*S[2, Infinity])/448 - (11111*S[3, Infinity])/896)*
    S[5, Infinity] + (11321*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/112 - 
     (827*S[-1, 1, 1, 1, Infinity])/140) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((2663*S[-1, Infinity]^5)/6720 - 
     (3055*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (22313*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (53*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (251*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/48 - 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (761*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(263*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-103*S[-5, 1, 1, Infinity] - 40*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-632960*S[-7, -1, Infinity] - 77591*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 89280*S[-5, -1, 1, 1, Infinity] - 
     94080*S[-1, 1, 1, 1, Infinity]^2 + 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, 2, -2, -1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/1260 - (6133*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4067477*S[2, Infinity]^4)/784000 + 
   ((-4121*S[-1, Infinity]^2)/448 + (5469*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((589*S[-1, Infinity]^3)/128 - 
     (1847*S[-1, Infinity]*S[2, Infinity])/896 - (277339*S[3, Infinity])/
      7168)*S[5, Infinity] - (33611*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((551*S[-1, Infinity]^4)/1680 - 
     (71*S[-1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1291*S[-1, Infinity]^5)/2240 - 
     (715*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (62679*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (71*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (198*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (953*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(191*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-151*S[-5, 1, 1, Infinity] - 18*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2333760*S[-7, -1, Infinity] - 328903*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 506880*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, Infinity]^2 + 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 2, -2, -1, -1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/8064 - (1669*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (3284497*S[2, Infinity]^4)/784000 + 
   ((-2381*S[-1, Infinity]^2)/448 + (2785*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1085*S[-1, Infinity]^3)/192 - 
     (1695*S[-1, Infinity]*S[2, Infinity])/224 - (140351*S[3, Infinity])/
      7168)*S[5, Infinity] - (33611*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((3697*S[-1, Infinity]^4)/6720 + 
     (881*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((39*S[-1, Infinity]^5)/280 + 
     (109*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (36459*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (213*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(101*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-71*S[-1, Infinity]^6)/480 + 
     (19*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (377*S[-5, -1, Infinity] + 560*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-151*S[-5, 1, 1, Infinity] - 18*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1433920*S[-7, -1, Infinity] - 204133*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 281600*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 3, 1, 1, Infinity] -> 
  (-67*S[-1, Infinity]^8)/40320 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (4901*S[2, Infinity]^4)/14000 + ((-611*S[-1, Infinity]^2)/896 + 
     (55*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-187*S[-1, Infinity]^3)/384 - (3231*S[-1, Infinity]*S[2, Infinity])/
      896 - (1319*S[3, Infinity])/512)*S[5, Infinity] + 
   (68555*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/320 - S[-1, 1, 1, 1, Infinity]/
      40) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-10240*S[-7, -1, Infinity] - 3081*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/320 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (4667*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(61*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (11*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, 1, 3, 1, -1, Infinity] -> -S[-1, Infinity]^8/560 + 
   (337*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (811607*S[2, Infinity]^4)/784000 + 
   ((-3183*S[-1, Infinity]^2)/1792 - (18497*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-187*S[-1, Infinity]^3)/384 + 
     (26049*S[-1, Infinity]*S[2, Infinity])/896 + (72857*S[3, Infinity])/
      7168)*S[5, Infinity] + (68555*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-253*S[-1, Infinity]^4)/448 - 
     (167*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-433*S[-1, Infinity]^5)/3360 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (50699*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (433*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1209*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-61*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-20*S[-5, 1, 1, Infinity] - 27*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2997440*S[-7, -1, Infinity] + 488193*S[5, 3, Infinity] + 
     372480*S[-5, -1, -1, -1, Infinity] + 236800*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 3, -1, 1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/13440 + (26*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 - (852557*S[2, Infinity]^4)/784000 + 
   ((2545*S[-1, Infinity]^2)/1792 - (19113*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-721*S[-1, Infinity]^3)/96 + 
     (3837*S[-1, Infinity]*S[2, Infinity])/224 + (38123*S[3, Infinity])/7168)*
    S[5, Infinity] + (268879*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1567*S[-1, Infinity]^4)/6720 - 
     (587*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/1680 + 
     (93*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (29557*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (167*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(-43*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-87*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 143*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1855040*S[-7, -1, Infinity] + 408813*S[5, 3, Infinity] + 
     354560*S[-5, -1, -1, -1, Infinity] + 57600*S[-5, -1, 1, 1, Infinity] - 
     89600*S[-1, 1, 1, 1, Infinity]^2 - 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 3, -1, -1, Infinity] -> 
  (-61*S[-1, Infinity]^8)/10080 + (189*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (1009031*S[2, Infinity]^4)/784000 + 
   ((185*S[-1, Infinity]^2)/224 - (1293*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-721*S[-1, Infinity]^3)/96 + 
     (405*S[-1, Infinity]*S[2, Infinity])/224 - (1403*S[3, Infinity])/224)*
    S[5, Infinity] + (268879*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1763*S[-1, Infinity]^4)/3360 - 
     (139*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((1019*S[-1, Infinity]^5)/6720 + 
     (227*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2301*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (93*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-205*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (29*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 143*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (217600*S[-7, -1, Infinity] + 42083*S[5, 3, Infinity] + 
     85760*S[-5, -1, -1, -1, Infinity] - 36480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, 2, 2, 1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/40320 - (11*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (245023*S[2, Infinity]^4)/98000 + 
   ((-349*S[-1, Infinity]^2)/224 - (515*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((343*S[-1, Infinity]^3)/192 + 
     (1999*S[-1, Infinity]*S[2, Infinity])/448 - (8383*S[3, Infinity])/1792)*
    S[5, Infinity] + (81113*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/448 - 
     (13*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/1120 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (383*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]/14) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-193*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (264160*S[-7, -1, Infinity] + 43019*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, 1, 2, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/10080 - (47*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (31111*S[2, Infinity]^4)/6272 + ((-667*S[-1, Infinity]^2)/896 + 
     (2099*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((343*S[-1, Infinity]^3)/192 - (8465*S[-1, Infinity]*S[2, Infinity])/448 - 
     (13381*S[3, Infinity])/896)*S[5, Infinity] + 
   (81113*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/140 - 
     (151*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/1120 - 
     (215*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (7103*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(-60*S[-5, -1, Infinity] - 49*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(159*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (32896*S[-7, -1, Infinity] - 51*S[5, 3, Infinity] - 
     2752*S[-5, -1, -1, -1, Infinity] + 6560*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 17920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[-1, 1, 1, 2, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/1152 - (275*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (3431*S[2, Infinity]^4)/78400 + ((-293*S[-1, Infinity]^2)/224 + 
     (1199*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((561*S[-1, Infinity]^3)/128 - (8833*S[-1, Infinity]*S[2, Infinity])/896 - 
     (17163*S[3, Infinity])/1792)*S[5, Infinity] - 
   (121861*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/560 + 
     (93*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-68032*S[-7, -1, Infinity] - 13947*S[5, 3, Infinity] - 
     9728*S[-5, -1, -1, -1, Infinity] - 5504*S[-5, -1, 1, 1, Infinity] - 
     896*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((533*S[-1, Infinity]^5)/6720 - 
     (491*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1607*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (71*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (291*S[-5, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, 1, 2, 1, -2, Infinity] -> S[-1, Infinity]^8/576 - 
   (1573*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (886483*S[2, Infinity]^4)/392000 + 
   ((-2803*S[-1, Infinity]^2)/1792 + (11043*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((561*S[-1, Infinity]^3)/128 - 
     (12001*S[-1, Infinity]*S[2, Infinity])/896 - (80821*S[3, Infinity])/
      7168)*S[5, Infinity] - (121861*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (205*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    28 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/140 + (93*S[-1, 1, 1, 1, Infinity])/
      70) + (-1321280*S[-7, -1, Infinity] - 144481*S[5, 3, Infinity] - 
     129280*S[-5, -1, -1, -1, Infinity] - 202240*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((233*S[-1, Infinity]^5)/6720 - 
     (169*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (16097*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (67*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (681*S[-5, -1, Infinity] - 
       560*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, 1, 2, -1, 2, Infinity] -> (173*S[-1, Infinity]^8)/20160 + 
   (191*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (5607759*S[2, Infinity]^4)/392000 + 
   ((-183*S[-1, Infinity]^2)/128 + (26885*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((785*S[-1, Infinity]^3)/96 - 
     (2703*S[-1, Infinity]*S[2, Infinity])/64 - (43129*S[3, Infinity])/1792)*
    S[5, Infinity] - (393483*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-229*S[-1, Infinity]^4)/1680 + 
     (377*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((291*S[-1, Infinity]^5)/2240 - (361*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (3083*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (507*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-53*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1931*S[-5, -1, Infinity] + 
       644*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-96*S[-5, 1, 1, Infinity] + 121*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1087840*S[-7, -1, Infinity] - 151899*S[5, 3, Infinity] - 
     81280*S[-5, -1, -1, -1, Infinity] - 131520*S[-5, -1, 1, 1, Infinity] + 
     49280*S[-1, 1, 1, 1, Infinity]^2 + 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, 1, 2, -1, -2, Infinity] -> 
  (61*S[-1, Infinity]^8)/40320 - (815*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (7199667*S[2, Infinity]^4)/784000 + 
   ((93*S[-1, Infinity]^2)/64 + (36517*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((785*S[-1, Infinity]^3)/96 - 
     (13521*S[-1, Infinity]*S[2, Infinity])/128 - (133207*S[3, Infinity])/
      3584)*S[5, Infinity] - (393483*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (49*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((391*S[-1, Infinity]^4)/1120 + 
     (1151*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((767*S[-1, Infinity]^5)/2240 - 
     (935*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (13339*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (432*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/480 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (5101*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-96*S[-5, 1, 1, Infinity] + 121*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3101920*S[-7, -1, Infinity] - 485777*S[5, 3, Infinity] - 
     346240*S[-5, -1, -1, -1, Infinity] - 258560*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, 1, 2, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/8064 + (141*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (9063*S[2, Infinity]^4)/98000 + ((-417*S[-1, Infinity]^2)/256 - 
     (7953*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/96 + (177*S[-1, Infinity]*S[2, Infinity])/8 - 
     (92437*S[3, Infinity])/7168)*S[5, Infinity] + 
   (48575*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/2240 + 
     (411*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-347*S[-1, Infinity]^5)/6720 + 
     (163*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (761*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (181*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   2*S[-1, Infinity]^2*(2*S[-5, -1, Infinity] + S[-1, 1, 1, 1, 1, 1, 
      Infinity]) - (S[-1, Infinity]*(-31*S[-5, 1, 1, Infinity] - 
      3*S[5, -1, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (592960*S[-7, -1, Infinity] + 243889*S[5, 3, Infinity] + 
     285440*S[-5, -1, -1, -1, Infinity] - 240640*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 2, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/504 + (1317*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (378393*S[2, Infinity]^4)/784000 + 
   ((-393*S[-1, Infinity]^2)/224 - (1649*S[2, Infinity])/224)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/96 + 
     (1725*S[-1, Infinity]*S[2, Infinity])/56 - (36999*S[3, Infinity])/3584)*
    S[5, Infinity] + (48575*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/672 + 
     (283*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/6720 + 
     (961*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2451*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-249*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (75*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-31*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (208800*S[-7, -1, Infinity] + 62953*S[5, 3, Infinity] + 
     79360*S[-5, -1, -1, -1, Infinity] - 50240*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 394240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, 1, 1, 3, 1, Infinity] -> 
  -S[-1, Infinity]^8/2240 + (613*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (1037513*S[2, Infinity]^4)/2352000 + 
   ((587*S[-1, Infinity]^2)/1792 + (251*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/384 + 
     (3345*S[-1, Infinity]*S[2, Infinity])/896 + (25891*S[3, Infinity])/7168)*
    S[5, Infinity] - (37417*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/224 - 
     (29*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-151*S[-1, Infinity]^5)/6720 + (151*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (8373*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (151*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 + 
     (-43*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (131520*S[-7, -1, Infinity] + 16711*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, 1, 3, -1, Infinity] -> -S[-1, Infinity]^8/1344 + 
   (1957*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (5290007*S[2, Infinity]^4)/2352000 + 
   ((1289*S[-1, Infinity]^2)/1792 + (4513*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/384 - 
     (2799*S[-1, Infinity]*S[2, Infinity])/896 + (21129*S[3, Infinity])/7168)*
    S[5, Infinity] - (37417*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((583*S[-1, Infinity]^4)/3360 + 
     (117*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((419*S[-1, Infinity]^5)/6720 + 
     (85*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (11817*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (321*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (5*(-65*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(25*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1374400*S[-7, -1, Infinity] - 150811*S[5, 3, Infinity] - 
     83200*S[-5, -1, -1, -1, Infinity] - 149760*S[-5, -1, 1, 1, Infinity] + 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, 1, 2, 2, Infinity] -> S[-1, Infinity]^8/3360 + 
   (209*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (2727661*S[2, Infinity]^4)/2352000 + 
   ((681*S[-1, Infinity]^2)/448 + (401*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1189*S[-1, Infinity]^3)/384 - 
     (3191*S[-1, Infinity]*S[2, Infinity])/896 + (12979*S[3, Infinity])/3584)*
    S[5, Infinity] + (10187*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((341*S[-1, Infinity]^4)/6720 - 
     (27*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-41*S[-1, Infinity]^5)/1680 + (13*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (387*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*(-23*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-91520*S[-7, -1, Infinity] - 21869*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, 1, 1, 2, -2, Infinity] -> S[-1, Infinity]^8/2520 + 
   (6257*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (2527099*S[2, Infinity]^4)/588000 + 
   ((2013*S[-1, Infinity]^2)/1792 - (4491*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1189*S[-1, Infinity]^3)/384 + 
     (9769*S[-1, Infinity]*S[2, Infinity])/896 + (65071*S[3, Infinity])/7168)*
    S[5, Infinity] + (10187*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (145*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((211*S[-1, Infinity]^4)/6720 + 
     (29*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/1344 + (289*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (11091*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (131*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (397*S[-5, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-408000*S[-7, -1, Infinity] + 12587*S[5, 3, Infinity] + 
     75520*S[-5, -1, -1, -1, Infinity] - 84480*S[-5, -1, 1, 1, Infinity] + 
     573440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, 1, 1, 1, 3, Infinity] -> -S[-1, Infinity]^8/5040 - 
   (101*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (453203*S[2, Infinity]^4)/784000 + 
   ((-213*S[-1, Infinity]^2)/448 - (401*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((157*S[-1, Infinity]^3)/192 + 
     (743*S[-1, Infinity]*S[2, Infinity])/448 - (3039*S[3, Infinity])/3584)*
    S[5, Infinity] + (389*S[-1, Infinity]*S[7, Infinity])/256 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/6720 - 
     S[-1, 1, 1, 1, Infinity]/140) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/1680 + (S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (521*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, 1, 1, 1, 1, Infinity]/14) + S[2, Infinity]*
    (S[-1, Infinity]^6/480 + (-25*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (109440*S[-7, -1, Infinity] + 21281*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, 1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^8/6720 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (713*S[2, Infinity]^4)/400 + 
   ((-3*S[-1, Infinity]^2)/8 - S[2, Infinity]/8)*S[3, Infinity]^2 + 
   ((157*S[-1, Infinity]^3)/192 - (127*S[-1, Infinity]*S[2, Infinity])/64 - 
     (141*S[3, Infinity])/64)*S[5, Infinity] + 
   (389*S[-1, Infinity]*S[7, Infinity])/256 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/48 - (6*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(-S[-1, Infinity]^5/120 - 
     (S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/180 + (-11*S[-5, -1, Infinity] - 
       6*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (864*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity] - 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/64, S[-1, 1, 1, 1, -1, 3, Infinity] -> 
  (-73*S[-1, Infinity]^8)/20160 - (191*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (65119*S[2, Infinity]^4)/56000 + 
   ((13*S[-1, Infinity]^2)/128 + (55*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((135*S[-1, Infinity]^3)/64 + (53*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2821*S[3, Infinity])/512)*S[5, Infinity] - 
   (3437*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/16 - (17*S[-1, 1, 1, 1, Infinity])/
      10) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((5*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (253*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 - 4*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(5*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (23360*S[-7, -1, Infinity] - 1479*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 30720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, 1, 1, -1, -3, Infinity] -> 
  (97*S[-1, Infinity]^8)/40320 - (27*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (99681*S[2, Infinity]^4)/392000 + 
   (S[-1, Infinity]^2/896 + (3177*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((135*S[-1, Infinity]^3)/64 + (169*S[-1, Infinity]*S[2, Infinity])/56 - 
     (25327*S[3, Infinity])/3584)*S[5, Infinity] - 
   (3437*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/1680 + 
     (61*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/1344 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (271*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + (17*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(5*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (31040*S[-7, -1, Infinity] - 34131*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] + 9600*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, 1, -2, 2, Infinity] -> 
  (-17*S[-1, Infinity]^8)/13440 - (125*S[-1, Infinity]^2*S[2, Infinity]^3)/
    168 - (595591*S[2, Infinity]^4)/168000 + 
   ((127*S[-1, Infinity]^2)/256 - (521*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-145*S[-1, Infinity]^3)/192 - 
     (287*S[-1, Infinity]*S[2, Infinity])/64 + (2805*S[3, Infinity])/512)*
    S[5, Infinity] + (3385*S[-1, Infinity]*S[7, Infinity])/512 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/960 - (121*S[-1, 1, 1, 1, Infinity])/
      40) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*(S[-1, Infinity]^5/120 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (97*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (55*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-119*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (77440*S[-7, -1, Infinity] + 7233*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 16000*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2 - 40960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, 1, 1, -2, -2, Infinity] -> 
  (-47*S[-1, Infinity]^8)/40320 + (1397*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (426259*S[2, Infinity]^4)/294000 + 
   ((-79*S[-1, Infinity]^2)/224 - (10149*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-145*S[-1, Infinity]^3)/192 + 
     (3335*S[-1, Infinity]*S[2, Infinity])/224 + (40455*S[3, Infinity])/7168)*
    S[5, Infinity] + (3385*S[-1, Infinity]*S[7, Infinity])/512 - 
   (183*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-317*S[-1, Infinity]^4)/6720 - 
     (87*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-199*S[-1, Infinity]^5)/6720 + 
     (127*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (27547*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/96 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-313*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (1664960*S[-7, -1, Infinity] + 284751*S[5, 3, Infinity] + 
     198400*S[-5, -1, -1, -1, Infinity] + 124160*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, 1, -3, 1, Infinity] -> 
  (29*S[-1, Infinity]^8)/20160 + (131*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (1936003*S[2, Infinity]^4)/1176000 + 
   ((397*S[-1, Infinity]^2)/896 + (4411*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/24 - 
     (2927*S[-1, Infinity]*S[2, Infinity])/224 + (5335*S[3, Infinity])/1792)*
    S[5, Infinity] - (1403*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/3360 + 
     (149*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/336 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (2369*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (95*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(83*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (29*S[-5, -1, Infinity] + 49*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   S[-1, Infinity]*(S[5, -1, -1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-20280*S[-7, -1, Infinity] - 3637*S[5, 3, Infinity] - 
     3040*S[-5, -1, -1, -1, Infinity] - 600*S[-5, -1, 1, 1, Infinity] + 
     560*S[-1, 1, 1, 1, Infinity]^2 + 11200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[-1, 1, 1, 1, -3, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/6720 - (115*S[-1, Infinity]^2*S[2, Infinity]^3)/
    168 - (1178077*S[2, Infinity]^4)/2352000 + 
   ((163*S[-1, Infinity]^2)/896 + (2393*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((29*S[-1, Infinity]^3)/24 - 
     (2015*S[-1, Infinity]*S[2, Infinity])/224 + (18653*S[3, Infinity])/3584)*
    S[5, Infinity] - (1403*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[2, Infinity]^2*((-407*S[-1, Infinity]^4)/2240 - 
     (29*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/56 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (953*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-379*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(57*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   S[-1, Infinity]*(S[5, -1, -1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-63360*S[-7, -1, Infinity] - 43377*S[5, 3, Infinity] - 
     64000*S[-5, -1, -1, -1, Infinity] + 59520*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, -1, 3, 1, Infinity] -> 
  (-257*S[-1, Infinity]^8)/40320 - (3743*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (864611*S[2, Infinity]^4)/588000 + 
   ((-157*S[-1, Infinity]^2)/64 + (7499*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((151*S[-1, Infinity]^3)/48 - 
     (1201*S[-1, Infinity]*S[2, Infinity])/64 - (120273*S[3, Infinity])/7168)*
    S[5, Infinity] - (89209*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-1177*S[-1, Infinity]^4)/6720 - 
     (293*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((1493*S[-1, Infinity]^5)/6720 - 
     (1255*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (5803*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (249*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/160 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (65*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-93*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1849920*S[-7, -1, Infinity] - 240717*S[5, 3, Infinity] - 
     183040*S[-5, -1, -1, -1, Infinity] - 157440*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, 3, -1, Infinity] -> 
  (-59*S[-1, Infinity]^8)/6720 - (7313*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (29509*S[2, Infinity]^4)/84000 + 
   ((-3559*S[-1, Infinity]^2)/896 + (7*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((151*S[-1, Infinity]^3)/48 - (4483*S[-1, Infinity]*S[2, Infinity])/448 - 
     (2689*S[3, Infinity])/1024)*S[5, Infinity] - 
   (89209*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (109*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/60 - 
     (27*S[-1, 1, 1, 1, Infinity])/8) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((81*S[-1, Infinity]^5)/320 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (20189*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     11*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + (79*S[-5, -1, Infinity])/8 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-93*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-140480*S[-7, -1, Infinity] - 12917*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 17920*S[-5, -1, 1, 1, Infinity] - 
     30720*S[-1, 1, 1, 1, Infinity]^2 + 51200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, 1, -1, 2, 2, Infinity] -> 
  (-401*S[-1, Infinity]^8)/40320 - (13*S[-1, Infinity]^2*S[2, Infinity]^3)/
    12 - (1481609*S[2, Infinity]^4)/588000 + 
   ((1039*S[-1, Infinity]^2)/1792 - (149*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-193*S[-1, Infinity]^3)/64 - 
     (6533*S[-1, Infinity]*S[2, Infinity])/448 - (32713*S[3, Infinity])/3584)*
    S[5, Infinity] + (19895*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((167*S[-1, Infinity]^4)/2240 - 
     (271*S[-1, 1, 1, 1, Infinity])/56) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((311*S[-1, Infinity]^5)/3360 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (137*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (101*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((89*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1289*S[-5, -1, Infinity] + 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (781120*S[-7, -1, Infinity] + 92199*S[5, 3, Infinity] + 
     43520*S[-5, -1, -1, -1, Infinity] + 122240*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, -1, 2, -2, Infinity] -> 
  (67*S[-1, Infinity]^8)/10080 + (479*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 - (149069*S[2, Infinity]^4)/58800 + 
   ((1131*S[-1, Infinity]^2)/896 - (2381*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-193*S[-1, Infinity]^3)/64 + 
     (6703*S[-1, Infinity]*S[2, Infinity])/448 + (118921*S[3, Infinity])/
      7168)*S[5, Infinity] + (19895*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((239*S[-1, Infinity]^4)/3360 - 
     (303*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-337*S[-1, Infinity]^5)/1680 + 
     (321*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (33907*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (74*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/144 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-197*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-199*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (428608*S[-7, -1, Infinity] + 88857*S[5, 3, Infinity] + 
     60672*S[-5, -1, -1, -1, Infinity] + 28928*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2 - 172032*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, 1, -1, 1, 3, Infinity] -> 
  (29*S[-1, Infinity]^8)/6720 + (81*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (31613*S[2, Infinity]^4)/28000 + 
   (S[-1, Infinity]^2/16 - (213*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-51*S[-1, Infinity]^3)/64 + (607*S[-1, Infinity]*S[2, Infinity])/32 + 
     (221*S[3, Infinity])/16)*S[5, Infinity] - 
   (10271*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/20 + (11*S[-1, 1, 1, 1, Infinity])/
      10) + (7360*S[-7, -1, Infinity] + 2451*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2)/640 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/960 + 
     (73*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (217*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (77*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/360 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 2*(3*S[-5, -1, Infinity] - 
       7*S[-1, 1, 1, 1, 1, 1, Infinity])) - 3*S[-1, Infinity]^2*
    (S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4, 
 S[-1, 1, 1, -1, 1, -3, Infinity] -> (-19*S[-1, Infinity]^8)/20160 + 
   (533*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (11083*S[2, Infinity]^4)/39200 + ((407*S[-1, Infinity]^2)/896 - 
     (995*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-51*S[-1, Infinity]^3)/64 + (2171*S[-1, Infinity]*S[2, Infinity])/448 + 
     (14461*S[3, Infinity])/3584)*S[5, Infinity] - 
   (10271*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-341*S[-1, Infinity]^4)/6720 + 
     (69*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/168 + 
     (179*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2873*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(15*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/160 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-403*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (45184*S[-7, -1, Infinity] + 5043*S[5, 3, Infinity] + 
     4352*S[-5, -1, -1, -1, Infinity] + 7296*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-1, 1, 1, -1, -1, 3, Infinity] -> (-73*S[-1, Infinity]^8)/40320 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (9439*S[2, Infinity]^4)/156800 + ((-403*S[-1, Infinity]^2)/448 - 
     (4681*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-103*S[-1, Infinity]^3)/32 + (2749*S[-1, Infinity]*S[2, Infinity])/896 + 
     (31791*S[3, Infinity])/3584)*S[5, Infinity] + 
   (98855*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/672 - 
     (433*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (46496*S[-7, -1, Infinity] + 11173*S[5, 3, Infinity] + 
     10112*S[-5, -1, -1, -1, Infinity] + 2432*S[-5, -1, 1, 1, Infinity] - 
     2688*S[-1, 1, 1, 1, Infinity]^2)/1792 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((401*S[-1, Infinity]^5)/6720 - 
     (45*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (577*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-71*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-61*S[-5, -1, Infinity] + 
       21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] - 117*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, 1, -1, -1, -3, Infinity] -> (17*S[-1, Infinity]^8)/20160 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - (1337669*S[2, Infinity]^4)/
    784000 + ((-1157*S[-1, Infinity]^2)/896 - (7673*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-103*S[-1, Infinity]^3)/32 + 
     (5423*S[-1, Infinity]*S[2, Infinity])/448 + (46499*S[3, Infinity])/3584)*
    S[5, Infinity] + (98855*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-313*S[-1, Infinity]^4)/3360 + 
     S[-1, 1, 1, 1, Infinity]/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/448 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (5601*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (13*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-149*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] - 117*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (445120*S[-7, -1, Infinity] + 155143*S[5, 3, Infinity] + 
     151040*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, 1, -1, -2, 2, Infinity] -> (-233*S[-1, Infinity]^8)/40320 + 
   (1823*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (3833029*S[2, Infinity]^4)/2352000 + 
   ((-603*S[-1, Infinity]^2)/896 - (135*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-1375*S[-1, Infinity]^3)/384 + 
     (47*S[-1, Infinity]*S[2, Infinity])/112 + (34933*S[3, Infinity])/3584)*
    S[5, Infinity] + (3519*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-353*S[-1, Infinity]^4)/3360 + 
     (153*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((1027*S[-1, Infinity]^5)/6720 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (437*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/144 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (31*S[-5, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-89120*S[-7, -1, Infinity] - 10953*S[5, 3, Infinity] + 
     12160*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, 1, -1, -2, -2, Infinity] -> 
  (113*S[-1, Infinity]^8)/20160 + (2911*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (5552773*S[2, Infinity]^4)/2352000 + 
   ((827*S[-1, Infinity]^2)/1792 - (1703*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1375*S[-1, Infinity]^3)/384 + 
     (967*S[-1, Infinity]*S[2, Infinity])/896 + (88595*S[3, Infinity])/7168)*
    S[5, Infinity] + (3519*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/112 + (731*S[-1, 1, 1, 1, Infinity])/
      280) - (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/1344 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (10107*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (95*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-27*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (237*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 39*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-581440*S[-7, -1, Infinity] + 88911*S[5, 3, Infinity] + 
     149760*S[-5, -1, -1, -1, Infinity] - 131840*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -1, -3, 1, Infinity] -> 
  (157*S[-1, Infinity]^8)/40320 + (53*S[-1, Infinity]^2*S[2, Infinity]^3)/
    420 - (39709*S[2, Infinity]^4)/588000 + 
   ((1707*S[-1, Infinity]^2)/1792 - (9143*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-869*S[-1, Infinity]^3)/384 + 
     (867*S[-1, Infinity]*S[2, Infinity])/896 + (45793*S[3, Infinity])/3584)*
    S[5, Infinity] + (86579*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/448 + 
     (47*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-109*S[-1, Infinity]^5)/840 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (69*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/480 - (32*S[-5, -1, Infinity])/7 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 85*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (275200*S[-7, -1, Infinity] + 108669*S[5, 3, Infinity] + 
     75520*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, -1, -3, -1, Infinity] -> 
  S[-1, Infinity]^8/126 + (3259*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (3346519*S[2, Infinity]^4)/1176000 + 
   ((1919*S[-1, Infinity]^2)/1792 + (9707*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-869*S[-1, Infinity]^3)/384 - 
     (9477*S[-1, Infinity]*S[2, Infinity])/896 - (10747*S[3, Infinity])/3584)*
    S[5, Infinity] + (86579*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-1139*S[-1, Infinity]^4)/3360 + 
     (369*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/560 - 
     (233*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (3047*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(13*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 85*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-325440*S[-7, -1, Infinity] - 68507*S[5, 3, Infinity] - 
     37120*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, -2, 2, 1, Infinity] -> 
  (41*S[-1, Infinity]^8)/8064 + (23*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (385823*S[2, Infinity]^4)/784000 + 
   ((361*S[-1, Infinity]^2)/448 + (4579*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((779*S[-1, Infinity]^3)/384 - 
     (12451*S[-1, Infinity]*S[2, Infinity])/896 + (93013*S[3, Infinity])/
      7168)*S[5, Infinity] - (45407*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((619*S[-1, Infinity]^4)/6720 + 
     (11*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/6720 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (14443*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(141*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/288 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-111*S[-5, -1, Infinity] + 560*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 24*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1201600*S[-7, -1, Infinity] - 189627*S[5, 3, Infinity] - 
     239360*S[-5, -1, -1, -1, Infinity] + 51200*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -2, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/112 - (243*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (155093*S[2, Infinity]^4)/392000 + 
   ((473*S[-1, Infinity]^2)/224 + (13479*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((779*S[-1, Infinity]^3)/384 - 
     (37243*S[-1, Infinity]*S[2, Infinity])/896 - (28943*S[3, Infinity])/
      7168)*S[5, Infinity] - (45407*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((419*S[-1, Infinity]^4)/3360 + 
     (323*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/1344 - 
     (1243*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (53197*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (177*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (95*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(401*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 24*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-3285440*S[-7, -1, Infinity] - 658079*S[5, 3, Infinity] - 
     572160*S[-5, -1, -1, -1, Infinity] - 72960*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -2, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/384 - (25*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (18493*S[2, Infinity]^4)/56000 + ((1261*S[-1, Infinity]^2)/1792 + 
     (947*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((319*S[-1, Infinity]^3)/384 - (5179*S[-1, Infinity]*S[2, Infinity])/896 - 
     (57*S[3, Infinity])/8)*S[5, Infinity] - 
   (23335*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 26*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/192 + 
     (5*S[-1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-21920*S[-7, -1, Infinity] - 5751*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 1600*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/320 + 
     (S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (915*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
    ((-3*S[-1, Infinity]^6)/160 + (31*S[-5, -1, Infinity])/8 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 1, -2, 1, -2, Infinity] -> 
  (-37*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (244079*S[2, Infinity]^4)/392000 + 
   ((103*S[-1, Infinity]^2)/256 + (239*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((319*S[-1, Infinity]^3)/384 - 
     (67*S[-1, Infinity]*S[2, Infinity])/128 + (183*S[3, Infinity])/112)*
    S[5, Infinity] - (23335*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 26*S[5, -1, -1, Infinity]))/
    28 + (-8080*S[-7, -1, Infinity] - 561*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 1600*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(-S[-1, Infinity]^4/840 + 
     (37*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/280 + (187*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (21*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/160 - (13*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, 1, 1, -2, -1, 2, Infinity] -> S[-1, Infinity]^8/4480 + 
   (501*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (7130811*S[2, Infinity]^4)/784000 + 
   ((445*S[-1, Infinity]^2)/896 - (18307*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-317*S[-1, Infinity]^3)/32 + 
     (91029*S[-1, Infinity]*S[2, Infinity])/896 + (144633*S[3, Infinity])/
      3584)*S[5, Infinity] + (198503*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (705*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1189*S[-1, Infinity]^4)/3360 - 
     (185*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-691*S[-1, Infinity]^5)/1344 + 
     (3287*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (93901*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (445*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-5625*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(121*S[-5, 1, 1, Infinity] - 138*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3171680*S[-7, -1, Infinity] + 484341*S[5, 3, Infinity] + 
     342400*S[-5, -1, -1, -1, Infinity] + 289280*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, 1, -2, -1, -2, Infinity] -> 
  (-11*S[-1, Infinity]^8)/6720 + (57*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (508071*S[2, Infinity]^4)/39200 + 
   ((4139*S[-1, Infinity]^2)/1792 - (63747*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-317*S[-1, Infinity]^3)/32 + 
     (3711*S[-1, Infinity]*S[2, Infinity])/56 + (189053*S[3, Infinity])/7168)*
    S[5, Infinity] + (198503*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (1049*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((1069*S[-1, Infinity]^4)/3360 - 
     (1279*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-1039*S[-1, Infinity]^5)/3360 + 
     (551*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (121259*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2183*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-873*S[-5, -1, Infinity] - 
       434*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(121*S[-5, 1, 1, Infinity] - 138*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1876032*S[-7, -1, Infinity] + 286757*S[5, 3, Infinity] + 
     181504*S[-5, -1, -1, -1, Infinity] + 191232*S[-5, -1, 1, 1, Infinity] - 
     50176*S[-1, 1, 1, 1, Infinity]^2 - 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, 1, -2, -2, 1, Infinity] -> 
  (-59*S[-1, Infinity]^8)/40320 - (339*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (453833*S[2, Infinity]^4)/196000 + 
   ((-227*S[-1, Infinity]^2)/112 + (7989*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((497*S[-1, Infinity]^3)/96 - 
     (7185*S[-1, Infinity]*S[2, Infinity])/448 - (66513*S[3, Infinity])/7168)*
    S[5, Infinity] - (193083*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-57*S[-1, Infinity]^4)/448 + 
     (73*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((821*S[-1, Infinity]^5)/6720 - (449*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (39383*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (751*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (575*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(361*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-81*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2665280*S[-7, -1, Infinity] - 432993*S[5, 3, Infinity] - 
     290560*S[-5, -1, -1, -1, Infinity] - 229120*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, 1, -2, -2, -1, Infinity] -> 
  (-71*S[-1, Infinity]^8)/10080 + (267*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (4771029*S[2, Infinity]^4)/784000 + 
   ((-6575*S[-1, Infinity]^2)/1792 + (1437*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((497*S[-1, Infinity]^3)/96 + 
     (8427*S[-1, Infinity]*S[2, Infinity])/448 - (7831*S[3, Infinity])/3584)*
    S[5, Infinity] - (193083*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-283*S[-1, Infinity]^4)/1120 + 
     (247*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((449*S[-1, Infinity]^5)/6720 + 
     (335*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (997*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (379*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(17*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (305*S[-5, -1, Infinity] + 392*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-81*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-413760*S[-7, -1, Infinity] - 7653*S[5, 3, Infinity] + 
     64000*S[-5, -1, -1, -1, Infinity] - 126720*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, 1, -3, 1, 1, Infinity] -> S[-1, Infinity]^8/336 + 
   (309*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (296397*S[2, Infinity]^4)/392000 + 
   ((593*S[-1, Infinity]^2)/448 - (2295*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-181*S[-1, Infinity]^3)/64 + 
     (8095*S[-1, Infinity]*S[2, Infinity])/448 - (1669*S[3, Infinity])/448)*
    S[5, Infinity] + (1525*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[2, Infinity]^2*((97*S[-1, Infinity]^4)/840 - 
     (19*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-95*S[-1, Infinity]^5)/672 + 
     (135*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (3361*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 5*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(19*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-121*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (67360*S[-7, -1, Infinity] + 12701*S[5, 3, Infinity] + 
     13760*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[-1, 1, 1, -3, 1, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/8064 + (653*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (6071*S[2, Infinity]^4)/28000 + 
   ((381*S[-1, Infinity]^2)/128 + (365*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-181*S[-1, Infinity]^3)/64 - 
     (503*S[-1, Infinity]*S[2, Infinity])/64 - (2693*S[3, Infinity])/512)*
    S[5, Infinity] + (1525*S[-1, Infinity]*S[7, Infinity])/128 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((33*S[-1, Infinity]^4)/80 + 
     (37*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((-31*S[-1, Infinity]^5)/320 + (19*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (137*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   3*S[-1, Infinity]^2*S[-1, 1, 1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/240 + 8*S[-5, -1, Infinity] + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - S[-1, Infinity]*
    (2*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-55360*S[-7, -1, Infinity] - 8737*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] + 
     11520*S[-1, 1, 1, 1, Infinity]^2 - 25600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, 1, -3, -1, 1, Infinity] -> 
  (143*S[-1, Infinity]^8)/20160 - (229*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (202973*S[2, Infinity]^4)/196000 + 
   ((1495*S[-1, Infinity]^2)/896 + (5739*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((271*S[-1, Infinity]^3)/96 - 
     (2603*S[-1, Infinity]*S[2, Infinity])/112 - (9347*S[3, Infinity])/3584)*
    S[5, Infinity] - (1591*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/1680 + 
     (99*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-117*S[-1, Infinity]^5)/2240 - (103*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (11757*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (213*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(71*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (311*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-863040*S[-7, -1, Infinity] - 132571*S[5, 3, Infinity] - 
     144640*S[-5, -1, -1, -1, Infinity] - 52480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, 1, -3, -1, -1, Infinity] -> 
  (47*S[-1, Infinity]^8)/13440 - (279*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2348859*S[2, Infinity]^4)/784000 + 
   ((-583*S[-1, Infinity]^2)/448 - (1731*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((271*S[-1, Infinity]^3)/96 + 
     (1357*S[-1, Infinity]*S[2, Infinity])/112 + (10905*S[3, Infinity])/3584)*
    S[5, Infinity] - (1591*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1397*S[-1, Infinity]^4)/2240 - 
     (247*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/560 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (7569*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (345*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/288 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(-201*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1005440*S[-7, -1, Infinity] + 124573*S[5, 3, Infinity] + 
     66560*S[-5, -1, -1, -1, Infinity] + 108160*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -1, 3, 1, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/2016 + (359*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (154957*S[2, Infinity]^4)/196000 + 
   ((505*S[-1, Infinity]^2)/448 - (961*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-305*S[-1, Infinity]^3)/64 + 
     (9221*S[-1, Infinity]*S[2, Infinity])/448 + (27159*S[3, Infinity])/7168)*
    S[5, Infinity] + (264163*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((403*S[-1, Infinity]^4)/3360 + 
     (367*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/1120 + 
     (159*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (41779*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (225*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (4*(3*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-243*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] - 111*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1639360*S[-7, -1, Infinity] + 304053*S[5, 3, Infinity] + 
     326400*S[-5, -1, -1, -1, Infinity] - 39680*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 3, 1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/2016 - (13*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (184969*S[2, Infinity]^4)/196000 + 
   ((3149*S[-1, Infinity]^2)/1792 + (3117*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-305*S[-1, Infinity]^3)/64 - 
     (3595*S[-1, Infinity]*S[2, Infinity])/448 - (26627*S[3, Infinity])/1792)*
    S[5, Infinity] + (264163*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/140 + 
     (23*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((27*S[-1, Infinity]^5)/1120 - (127*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (333*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (165*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/80 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(-11*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] - 111*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1600*S[-7, -1, Infinity] - 17957*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] - 37120*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, 1, -1, 3, -1, 1, Infinity] -> -S[-1, Infinity]^8/630 + 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (153093*S[2, Infinity]^4)/56000 + ((-1681*S[-1, Infinity]^2)/1792 - 
     (1415*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-261*S[-1, Infinity]^3)/32 + (719*S[-1, Infinity]*S[2, Infinity])/224 - 
     (19*S[3, Infinity])/4)*S[5, Infinity] + 
   (83645*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/32 - 
     (11*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (7360*S[-7, -1, Infinity] + 2141*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/240 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (481*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-93*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7, 
 S[-1, 1, -1, 3, -1, -1, Infinity] -> S[-1, Infinity]^8/1120 + 
   (997*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (240309*S[2, Infinity]^4)/196000 + 
   ((-653*S[-1, Infinity]^2)/896 - (18005*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-261*S[-1, Infinity]^3)/32 + 
     (9911*S[-1, Infinity]*S[2, Infinity])/224 + (77899*S[3, Infinity])/7168)*
    S[5, Infinity] + (83645*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/140 - 
     (17*S[-1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/140 + 
     (1159*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (13823*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (121*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/72 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-1051*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-569*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (4158400*S[-7, -1, Infinity] + 844911*S[5, 3, Infinity] + 
     812800*S[-5, -1, -1, -1, Infinity] + 145920*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 2, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/126 - (387*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (27171*S[2, Infinity]^4)/12250 + ((-923*S[-1, Infinity]^2)/896 + 
     (1695*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-461*S[-1, Infinity]^3)/384 - (14005*S[-1, Infinity]*S[2, Infinity])/
      896 + (165*S[3, Infinity])/896)*S[5, Infinity] + 
   (122249*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-181*S[-1, Infinity]^4)/672 - 
     (71*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((129*S[-1, Infinity]^5)/560 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (5261*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (177*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/9 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-223*S[-5, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] - 89*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-5510*S[-7, -1, Infinity] - 1369*S[5, 3, Infinity] - 
     520*S[-5, -1, -1, -1, Infinity] + 380*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2 + 11200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[-1, 1, -1, 2, 2, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/1008 - (483*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (338241*S[2, Infinity]^4)/49000 + 
   ((-475*S[-1, Infinity]^2)/448 + (141*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-461*S[-1, Infinity]^3)/384 - 
     (7607*S[-1, Infinity]*S[2, Infinity])/448 - (24253*S[3, Infinity])/896)*
    S[5, Infinity] + (122249*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((1781*S[-1, Infinity]^4)/1680 - 
     (15*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((115*S[-1, Infinity]^5)/336 - 
     (139*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (3903*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (165*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 + (407*S[-5, -1, Infinity])/14 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] - 89*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-507200*S[-7, -1, Infinity] - 61191*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 110080*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, -1, 2, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/384 - (5*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (735291*S[2, Infinity]^4)/784000 + 
   ((-2901*S[-1, Infinity]^2)/1792 - (1059*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((251*S[-1, Infinity]^3)/128 - 
     (1907*S[-1, Infinity]*S[2, Infinity])/896 + (26843*S[3, Infinity])/3584)*
    S[5, Infinity] - (63*S[-1, Infinity]*S[7, Infinity])/512 + 
   (107*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-479*S[-1, Infinity]^4)/6720 - 
     (11*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-44320*S[-7, -1, Infinity] - 3631*S[5, 3, Infinity] - 
     8000*S[-5, -1, -1, -1, Infinity] - 5440*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((1007*S[-1, Infinity]^5)/6720 - 
     (727*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (8647*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (34*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (503*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, -1, 2, 1, -2, Infinity] -> -S[-1, Infinity]^8/384 - 
   (173*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (495819*S[2, Infinity]^4)/392000 + 
   ((-3441*S[-1, Infinity]^2)/1792 + (2577*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((251*S[-1, Infinity]^3)/128 + 
     (199*S[-1, Infinity]*S[2, Infinity])/896 - (13597*S[3, Infinity])/896)*
    S[5, Infinity] - (63*S[-1, Infinity]*S[7, Infinity])/512 + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/1680 - 
     (52*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-80000*S[-7, -1, Infinity] - 50381*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] - 14720*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((827*S[-1, Infinity]^5)/6720 - 
     (547*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2771*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (44*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, 1, -1, 2, -1, 2, Infinity] -> (-89*S[-1, Infinity]^8)/10080 + 
   (879*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1902973*S[2, Infinity]^4)/196000 + 
   ((-83*S[-1, Infinity]^2)/32 - (28541*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-19*S[-1, Infinity]^3)/16 + 
     (10479*S[-1, Infinity]*S[2, Infinity])/128 + (57349*S[3, Infinity])/
      1792)*S[5, Infinity] - (1301*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((-333*S[-1, Infinity]^4)/560 - 
     (239*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-697*S[-1, Infinity]^5)/1680 + 
     (787*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (293*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (296*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-77*S[-5, -1, Infinity] + 
      48*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/720 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-1285*S[-5, -1, Infinity] + 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (1261920*S[-7, -1, Infinity] + 199361*S[5, 3, Infinity] + 
     120320*S[-5, -1, -1, -1, Infinity] + 135040*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, -1, 2, -1, -2, Infinity] -> 
  (73*S[-1, Infinity]^8)/5040 + (481*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1713247*S[2, Infinity]^4)/196000 + 
   ((-5431*S[-1, Infinity]^2)/1792 - (80627*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-19*S[-1, Infinity]^3)/16 + 
     (56025*S[-1, Infinity]*S[2, Infinity])/448 + (315285*S[3, Infinity])/
      7168)*S[5, Infinity] - (1301*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((1597*S[-1, Infinity]^4)/3360 - 
     (127*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/168 + 
     (1283*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (151423*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (575*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/360 + 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(5*S[-5, -1, Infinity] - 231*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-1165*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (6896320*S[-7, -1, Infinity] + 1260527*S[5, 3, Infinity] + 
     1073920*S[-5, -1, -1, -1, Infinity] + 305920*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 2, -2, 1, Infinity] -> 
  (2*S[-1, Infinity]^8)/315 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (85259*S[2, Infinity]^4)/98000 + ((1209*S[-1, Infinity]^2)/448 + 
     (13571*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((145*S[-1, Infinity]^3)/32 - (3901*S[-1, Infinity]*S[2, Infinity])/224 - 
     (23293*S[3, Infinity])/3584)*S[5, Infinity] - 
   (222305*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((331*S[-1, Infinity]^4)/1680 + 
     (19*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/35 + 
     (415*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (10601*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (30*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/90 + (153*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] + 121*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-594240*S[-7, -1, Infinity] - 145017*S[5, 3, Infinity] - 
     126720*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 322560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, -1, 2, -2, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/1260 + (3553*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (78849*S[2, Infinity]^4)/19600 + 
   ((4287*S[-1, Infinity]^2)/1792 + (8695*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((145*S[-1, Infinity]^3)/32 - 
     (7963*S[-1, Infinity]*S[2, Infinity])/896 + (347839*S[3, Infinity])/
      7168)*S[5, Infinity] - (222305*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-3137*S[-1, Infinity]^4)/3360 + 
     (87*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-71*S[-1, Infinity]^5)/280 + 
     (143*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1537*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (307*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/45 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-607*S[-5, -1, Infinity] + 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] + 121*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-189376*S[-7, -1, Infinity] - 29763*S[5, 3, Infinity] - 
     85760*S[-5, -1, -1, -1, Infinity] + 67840*S[-5, -1, 1, 1, Infinity] + 
     57344*S[-1, 1, 1, 1, Infinity]^2 + 114688*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, -1, 1, 3, 1, Infinity] -> 
  S[-1, Infinity]^8/240 - (37*S[-1, Infinity]^2*S[2, Infinity]^3)/96 + 
   (148063*S[2, Infinity]^4)/47040 + ((-641*S[-1, Infinity]^2)/448 + 
     (8243*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((581*S[-1, Infinity]^3)/96 - (3445*S[-1, Infinity]*S[2, Infinity])/448 - 
     (65609*S[3, Infinity])/7168)*S[5, Infinity] - 
   (2417*S[-1, Infinity]*S[7, Infinity])/64 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/224 + 
     (73*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/672 - (149*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (25373*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (275*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(223*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/45 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (123*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity] + 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-476096*S[-7, -1, Infinity] - 76159*S[5, 3, Infinity] - 
     49920*S[-5, -1, -1, -1, Infinity] - 50432*S[-5, -1, 1, 1, Infinity] + 
     21504*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, -1, 1, 3, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/6720 + (1033*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (409957*S[2, Infinity]^4)/294000 + 
   ((-1517*S[-1, Infinity]^2)/896 + (1739*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((581*S[-1, Infinity]^3)/96 + 
     (6031*S[-1, Infinity]*S[2, Infinity])/896 - (18043*S[3, Infinity])/7168)*
    S[5, Infinity] - (2417*S[-1, Infinity]*S[7, Infinity])/64 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-1963*S[-1, Infinity]^4)/6720 + 
     (453*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/840 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (8649*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (157*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (713*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(149*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity] + 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-1446080*S[-7, -1, Infinity] - 225193*S[5, 3, Infinity] - 
     154880*S[-5, -1, -1, -1, Infinity] - 122880*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 1, 2, 2, Infinity] -> 
  (169*S[-1, Infinity]^8)/40320 - (4183*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (2163421*S[2, Infinity]^4)/2352000 + 
   ((-5827*S[-1, Infinity]^2)/1792 + (3737*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((41*S[-1, Infinity]^3)/6 + 
     (905*S[-1, Infinity]*S[2, Infinity])/56 - (41549*S[3, Infinity])/1792)*
    S[5, Infinity] - (172839*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1367*S[-1, Infinity]^4)/6720 + 
     (579*S[-1, 1, 1, 1, Infinity])/280) + 
   (-343040*S[-7, -1, Infinity] - 44029*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] - 138240*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-69*S[-1, Infinity]^5)/2240 + 
     (235*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (33*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1207*S[-5, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(51*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-116*S[-5, 1, 1, Infinity] + 87*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, -1, 1, 2, -2, Infinity] -> (173*S[-1, Infinity]^8)/40320 - 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/105 - 
   (1903*S[2, Infinity]^4)/1680 + ((-2673*S[-1, Infinity]^2)/896 + 
     (3*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((41*S[-1, Infinity]^3)/6 + (1849*S[-1, Infinity]*S[2, Infinity])/448 - 
     (4625*S[3, Infinity])/1024)*S[5, Infinity] - 
   (172839*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/960 - 
     (3*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/480 + (41*S[-5, -1, Infinity])/8 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/320 + 
     (S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (3695*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(37*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-116*S[-5, 1, 1, Infinity] + 87*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-14656*S[-7, -1, Infinity] - 2863*S[5, 3, Infinity] - 
     1792*S[-5, -1, -1, -1, Infinity] - 1024*S[-5, -1, 1, 1, Infinity] + 
     1536*S[-1, 1, 1, 1, Infinity]^2 - 4096*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-1, 1, -1, 1, 1, 3, Infinity] -> 
  (-13*S[-1, Infinity]^8)/20160 + (1227*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (56159*S[2, Infinity]^4)/31360 + 
   ((4531*S[-1, Infinity]^2)/1792 - (20877*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-129*S[-1, Infinity]^3)/16 + 
     (7491*S[-1, Infinity]*S[2, Infinity])/448 + (161547*S[3, Infinity])/
      7168)*S[5, Infinity] + (271107*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-319*S[-1, Infinity]^4)/3360 - 
     (269*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/840 + 
     (335*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (47269*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (943*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(289*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(-419*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(113*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (664000*S[-7, -1, Infinity] + 110751*S[5, 3, Infinity] + 
     70912*S[-5, -1, -1, -1, Infinity] + 68864*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, -1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^8/640 + 
   (2397*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (827927*S[2, Infinity]^4)/784000 + 
   ((1081*S[-1, Infinity]^2)/448 - (1243*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-129*S[-1, Infinity]^3)/16 + 
     (7965*S[-1, Infinity]*S[2, Infinity])/448 + (53675*S[3, Infinity])/3584)*
    S[5, Infinity] + (271107*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((2*S[-1, Infinity]^4)/105 - 
     (261*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-145*S[-1, Infinity]^5)/1344 + 
     (851*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (12359*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (239*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-221*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-695*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(113*S[-5, 1, 1, Infinity] - 125*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1540800*S[-7, -1, Infinity] + 266589*S[5, 3, Infinity] + 
     192000*S[-5, -1, -1, -1, Infinity] + 135040*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -1, 1, -1, 3, Infinity] -> 
  S[-1, Infinity]^8/360 + (55*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (1216121*S[2, Infinity]^4)/784000 + 
   ((1951*S[-1, Infinity]^2)/896 - (3285*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-929*S[-1, Infinity]^3)/96 + 
     (17111*S[-1, Infinity]*S[2, Infinity])/896 + (162319*S[3, Infinity])/
      7168)*S[5, Infinity] + (22453*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((641*S[-1, Infinity]^4)/6720 - 
     (177*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/720 - (1373*S[-5, -1, Infinity])/
      56 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-473*S[-1, Infinity]^5)/3360 + 
     (911*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (49613*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (261*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-429*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3334080*S[-7, -1, Infinity] + 605119*S[5, 3, Infinity] + 
     490240*S[-5, -1, -1, -1, Infinity] + 253440*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, 1, -1, -3, Infinity] -> 
  -S[-1, Infinity]^8/420 + (1027*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (59119*S[2, Infinity]^4)/49000 + ((587*S[-1, Infinity]^2)/256 - 
     (16923*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-929*S[-1, Infinity]^3)/96 + (457*S[-1, Infinity]*S[2, Infinity])/64 + 
     (40001*S[3, Infinity])/3584)*S[5, Infinity] + 
   (22453*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((83*S[-1, Infinity]^4)/1120 - 
     (417*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/672 + 
     (69*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1593*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (86*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(127*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (111640*S[-7, -1, Infinity] + 19553*S[5, 3, Infinity] + 
     14400*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, 1, -1, 1, -2, 2, Infinity] -> 
  (-17*S[-1, Infinity]^8)/10080 + (4103*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (64817*S[2, Infinity]^4)/67200 + 
   ((291*S[-1, Infinity]^2)/128 - (513*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-1747*S[-1, Infinity]^3)/384 - 
     (109*S[-1, Infinity]*S[2, Infinity])/64 + (7173*S[3, Infinity])/1024)*
    S[5, Infinity] + (2719*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/320 + 
     (39*S[-1, 1, 1, 1, Infinity])/20) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/80 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (503*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/96 + (3*(-S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
         Infinity]))/2) + 2*S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (8896*S[-7, -1, Infinity] + 2841*S[5, 3, Infinity] + 
     2304*S[-5, -1, -1, -1, Infinity] + 256*S[-5, -1, 1, 1, Infinity] + 
     4096*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1024, 
 S[-1, 1, -1, 1, -2, -2, Infinity] -> -S[-1, Infinity]^8/630 + 
   (235*S[-1, Infinity]^2*S[2, Infinity]^3)/168 + 
   (788747*S[2, Infinity]^4)/470400 + 
   ((4609*S[-1, Infinity]^2)/1792 + (5791*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1747*S[-1, Infinity]^3)/384 - 
     (13199*S[-1, Infinity]*S[2, Infinity])/896 + (6855*S[3, Infinity])/3584)*
    S[5, Infinity] + (2719*S[-1, Infinity]*S[7, Infinity])/128 + 
   (9664*S[-7, -1, Infinity] - 33*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 3072*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/2240 - 
     (24*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/140 - (11*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3309*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-965*S[-5, -1, Infinity] + 
       1064*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4, 
 S[-1, 1, -1, 1, -3, 1, Infinity] -> (-59*S[-1, Infinity]^8)/20160 - 
   (9269*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (910901*S[2, Infinity]^4)/2352000 + 
   ((-10907*S[-1, Infinity]^2)/1792 + (19063*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1901*S[-1, Infinity]^3)/128 - 
     (10697*S[-1, Infinity]*S[2, Infinity])/896 - (85797*S[3, Infinity])/
      3584)*S[5, Infinity] - (340889*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/560 + 
     (57*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((683*S[-1, Infinity]^5)/3360 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (3909*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (162*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/144 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2*(123*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(285*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-230*S[-5, 1, 1, Infinity] + 
      211*S[5, -1, -1, Infinity] + 392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-888960*S[-7, -1, Infinity] - 148737*S[5, 3, Infinity] - 
     106880*S[-5, -1, -1, -1, Infinity] - 90240*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, -1, 1, -3, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/2016 - (11723*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (1031507*S[2, Infinity]^4)/336000 + 
   ((-9559*S[-1, Infinity]^2)/1792 + (5331*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((1901*S[-1, Infinity]^3)/128 - 
     (14401*S[-1, Infinity]*S[2, Infinity])/448 - (22231*S[3, Infinity])/512)*
    S[5, Infinity] - (340889*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/480 + 
     (19*S[-1, 1, 1, 1, Infinity])/20) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/40 - 
     (251*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (4113*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     30*S[-1, 1, 1, 1, 1, Infinity]) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(349*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (153*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(-230*S[-5, 1, 1, Infinity] + 
      211*S[5, -1, -1, Infinity] + 392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-165440*S[-7, -1, Infinity] - 30829*S[5, 3, Infinity] - 
     21120*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2 + 40960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, 1, -1, -1, 3, 1, Infinity] -> 
  (-293*S[-1, Infinity]^8)/40320 - (727*S[-1, Infinity]^2*S[2, Infinity]^3)/
    240 + (350033*S[2, Infinity]^4)/336000 + 
   ((-13655*S[-1, Infinity]^2)/1792 + (4263*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((6013*S[-1, Infinity]^3)/384 - 
     (9735*S[-1, Infinity]*S[2, Infinity])/896 - (38895*S[3, Infinity])/1024)*
    S[5, Infinity] - (6995*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((-233*S[-1, Infinity]^4)/960 - 
     (61*S[-1, 1, 1, 1, Infinity])/40) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((389*S[-1, Infinity]^5)/960 - 
     (293*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (68441*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (163*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((25*S[-1, Infinity]^6)/288 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (133*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(263*S[-5, -1, Infinity] + 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-93*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-524480*S[-7, -1, Infinity] - 107929*S[5, 3, Infinity] - 
     75520*S[-5, -1, -1, -1, Infinity] - 43520*S[-5, -1, 1, 1, Infinity] - 
     23040*S[-1, 1, 1, 1, Infinity]^2 + 92160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, 1, -1, -1, 3, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/1008 - (2245*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 - (34129*S[2, Infinity]^4)/235200 + 
   ((-7813*S[-1, Infinity]^2)/1792 + (36587*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((6013*S[-1, Infinity]^3)/384 - 
     (36429*S[-1, Infinity]*S[2, Infinity])/896 - (188591*S[3, Infinity])/
      7168)*S[5, Infinity] - (6995*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((1451*S[-1, Infinity]^4)/3360 + 
     (19*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((1567*S[-1, Infinity]^5)/6720 - 
     (979*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (88339*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1357*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (3*(-86*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-93*S[-5, 1, 1, Infinity] + 145*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1020352*S[-7, -1, Infinity] - 182905*S[5, 3, Infinity] - 
     149248*S[-5, -1, -1, -1, Infinity] - 74752*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, -1, -1, 2, 2, Infinity] -> 
  (527*S[-1, Infinity]^8)/40320 + (163*S[-1, Infinity]^2*S[2, Infinity]^3)/
    60 - (515647*S[2, Infinity]^4)/470400 + 
   ((1171*S[-1, Infinity]^2)/112 + (687*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2243*S[-1, Infinity]^3)/384 - 
     (3295*S[-1, Infinity]*S[2, Infinity])/448 + (53839*S[3, Infinity])/3584)*
    S[5, Infinity] + (24485*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/224 + 
     (837*S[-1, 1, 1, 1, Infinity])/280) + 
   (83904*S[-7, -1, Infinity] + 11341*S[5, 3, Infinity] - 
     6912*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
     23296*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3821*S[-1, Infinity]^5)/6720 + 
     (2701*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (21243*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (79*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (132*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/144 - (493*S[-5, -1, Infinity])/
      28 + 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(-95*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(250*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, 1, -1, -1, 2, -2, Infinity] -> S[-1, Infinity]^8/6720 + 
   (1777*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (245719*S[2, Infinity]^4)/470400 + 
   ((1577*S[-1, Infinity]^2)/256 + (907*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2243*S[-1, Infinity]^3)/384 - 
     (1307*S[-1, Infinity]*S[2, Infinity])/128 + (198773*S[3, Infinity])/
      7168)*S[5, Infinity] + (24485*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/1680 - 
     (181*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-349*S[-1, Infinity]^5)/3360 + 
     (199*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2049*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (677*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (11*(143*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(250*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (182848*S[-7, -1, Infinity] + 2531*S[5, 3, Infinity] - 
     40192*S[-5, -1, -1, -1, Infinity] + 68864*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 28672*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, -1, -1, 1, 3, Infinity] -> 
  (-23*S[-1, Infinity]^8)/40320 + (547*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (227379*S[2, Infinity]^4)/156800 + 
   ((-5*S[-1, Infinity]^2)/896 - (4929*S[2, Infinity])/896)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/3 + 
     (11421*S[-1, Infinity]*S[2, Infinity])/896 + (15291*S[3, Infinity])/
      7168)*S[5, Infinity] + (9045*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (145*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/56 + 
     (227*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-743*S[-1, Infinity]^5)/6720 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3341*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (67*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-37*S[-5, -1, Infinity] - 63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (194624*S[-7, -1, Infinity] + 41781*S[5, 3, Infinity] + 
     26368*S[-5, -1, -1, -1, Infinity] + 11264*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 129024*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, -1, -1, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/480 + (1081*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (310027*S[2, Infinity]^4)/156800 + 
   ((-181*S[-1, Infinity]^2)/1792 - (1341*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + (S[-1, Infinity]^3/3 + 
     (6927*S[-1, Infinity]*S[2, Infinity])/448 - (22017*S[3, Infinity])/1792)*
    S[5, Infinity] + (9045*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((27*S[-1, Infinity]^4)/1120 - 
     (39*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-269*S[-1, Infinity]^5)/2240 + 
     (527*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (10153*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (99*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-86*S[-5, -1, Infinity] + 
       49*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
      24*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (19568*S[-7, -1, Infinity] + 1503*S[5, 3, Infinity] + 
     1952*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity] + 
     896*S[-1, 1, 1, 1, Infinity]^2 - 8960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/448, S[-1, 1, -1, -1, -1, 3, Infinity] -> 
  S[-1, Infinity]^8/2880 + (263*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (427631*S[2, Infinity]^4)/392000 + 
   ((-29*S[-1, Infinity]^2)/256 - (9927*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((11*S[-1, Infinity]^3)/64 + 
     (121*S[-1, Infinity]*S[2, Infinity])/8 + (80827*S[3, Infinity])/7168)*
    S[5, Infinity] + (11267*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/210 - 
     (53*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-361*S[-1, Infinity]^5)/6720 + (83*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (3377*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (319*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-443*S[-5, -1, Infinity] + 
       196*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1735360*S[-7, -1, Infinity] + 270433*S[5, 3, Infinity] + 
     106240*S[-5, -1, -1, -1, Infinity] + 135680*S[-5, -1, 1, 1, Infinity] - 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -1, -1, -1, -3, Infinity] -> S[-1, Infinity]^8/3360 + 
   (211*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (26127*S[2, Infinity]^4)/24500 + 
   (-S[-1, Infinity]^2/56 - (3489*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((11*S[-1, Infinity]^3)/64 + (11119*S[-1, Infinity]*S[2, Infinity])/896 - 
     (2243*S[3, Infinity])/1792)*S[5, Infinity] + 
   (11267*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((467*S[-1, Infinity]^4)/6720 - 
     (9*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/560 + (125*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (2027*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (201*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-173*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-191*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (71440*S[-7, -1, Infinity] + 10261*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] + 7200*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[-1, 1, -1, -1, -2, 2, Infinity] -> (173*S[-1, Infinity]^8)/13440 - 
   (3751*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (6079987*S[2, Infinity]^4)/2352000 + 
   ((-9389*S[-1, Infinity]^2)/1792 - (2125*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1901*S[-1, Infinity]^3)/192 + 
     (1847*S[-1, Infinity]*S[2, Infinity])/56 - (144481*S[3, Infinity])/7168)*
    S[5, Infinity] - (71045*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-109*S[-1, Infinity]^4)/1344 + 
     (1651*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-541*S[-1, Infinity]^5)/6720 - 
     (271*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1367*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (383*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-103*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2287*S[-5, -1, Infinity] - 1400*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(167*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (2*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-1299520*S[-7, -1, Infinity] - 203671*S[5, 3, Infinity] + 
     39680*S[-5, -1, -1, -1, Infinity] - 424960*S[-5, -1, 1, 1, Infinity] + 
     304640*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -1, -2, -2, Infinity] -> 
  (-79*S[-1, Infinity]^8)/5040 - (8737*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (3168721*S[2, Infinity]^4)/2352000 + 
   ((-4285*S[-1, Infinity]^2)/448 + (1089*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((1901*S[-1, Infinity]^3)/192 + 
     (2495*S[-1, Infinity]*S[2, Infinity])/896 - (119255*S[3, Infinity])/
      3584)*S[5, Infinity] - (71045*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-281*S[-1, Infinity]^4)/840 - 
     (1077*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-563200*S[-7, -1, Infinity] - 107909*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 92160*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((767*S[-1, Infinity]^5)/1680 - 
     (1079*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (5083*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (156*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((109*S[-1, Infinity]^6)/720 - 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (421*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7, 
 S[-1, 1, -1, -1, -3, 1, Infinity] -> (49*S[-1, Infinity]^8)/5760 + 
   (739*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (206597*S[2, Infinity]^4)/94080 + ((1745*S[-1, Infinity]^2)/896 + 
     (4601*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((191*S[-1, Infinity]^3)/64 - (1273*S[-1, Infinity]*S[2, Infinity])/224 + 
     (1583*S[3, Infinity])/112)*S[5, Infinity] - 
   (241225*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((235*S[-1, Infinity]^4)/1344 + 
     (199*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-155*S[-1, Infinity]^5)/1344 + 
     (565*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (401*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(79*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-139*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (169*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(74*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-37232*S[-7, -1, Infinity] - 8123*S[5, 3, Infinity] - 
     6592*S[-5, -1, -1, -1, Infinity] - 1696*S[-5, -1, 1, 1, Infinity] + 
     4032*S[-1, 1, 1, 1, Infinity]^2 + 25088*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[-1, 1, -1, -1, -3, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/1680 + (1363*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (7101611*S[2, Infinity]^4)/2352000 + 
   ((3379*S[-1, Infinity]^2)/896 + (2503*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((191*S[-1, Infinity]^3)/64 + 
     (8209*S[-1, Infinity]*S[2, Infinity])/448 - (9631*S[3, Infinity])/3584)*
    S[5, Infinity] - (241225*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-1373*S[-1, Infinity]^4)/3360 + 
     (1269*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2117*S[-1, Infinity]^5)/6720 + 
     (815*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (11727*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (61*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(13*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-37*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(74*S[-5, 1, 1, Infinity] + 137*S[5, -1, -1, Infinity] + 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-100480*S[-7, -1, Infinity] - 41819*S[5, 3, Infinity] - 
     57600*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -1, -2, 2, 1, Infinity] -> 
  (-2*S[-1, Infinity]^8)/315 - (99*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (435667*S[2, Infinity]^4)/196000 + 
   ((-1227*S[-1, Infinity]^2)/448 - (4565*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((35*S[-1, Infinity]^3)/12 + 
     (1391*S[-1, Infinity]*S[2, Infinity])/224 - (55241*S[3, Infinity])/7168)*
    S[5, Infinity] + (141713*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/210 - 
     (11*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((219*S[-1, Infinity]^5)/2240 - 
     (601*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1187*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (321*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/90 + (97*S[-5, -1, Infinity])/56 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-116*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (726720*S[-7, -1, Infinity] + 136917*S[5, 3, Infinity] + 
     96000*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -2, 2, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/1260 - (167*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 - (24219*S[2, Infinity]^4)/12250 + 
   ((-159*S[-1, Infinity]^2)/56 - (1273*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((35*S[-1, Infinity]^3)/12 - 
     (899*S[-1, Infinity]*S[2, Infinity])/448 - (142127*S[3, Infinity])/7168)*
    S[5, Infinity] + (141713*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((1067*S[-1, Infinity]^4)/3360 - 
     (135*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((283*S[-1, Infinity]^5)/2240 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1137*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (373*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (17*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (183*S[-5, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-116*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (685760*S[-7, -1, Infinity] + 58239*S[5, 3, Infinity] + 
     121600*S[-5, -1, -1, -1, Infinity] - 32000*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -2, 1, 2, Infinity] -> 
  (-219*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (65967*S[2, Infinity]^4)/196000 + ((-243*S[-1, Infinity]^2)/128 + 
     (7573*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((2365*S[-1, Infinity]^3)/384 - (1855*S[-1, Infinity]*S[2, Infinity])/
      128 - (138681*S[3, Infinity])/7168)*S[5, Infinity] - 
   (11707*S[-1, Infinity]*S[7, Infinity])/896 + 
   5*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 + (-1495360*S[-7, -1, Infinity] - 282607*S[5, 3, Infinity] - 
     262400*S[-5, -1, -1, -1, Infinity] - 140800*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/672 + 
     (11*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/210 - (601*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (4423*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (76*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/160 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (311*S[-5, -1, Infinity] + 126*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, -1, -2, 1, -2, Infinity] -> 
  (-1773*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (15801*S[2, Infinity]^4)/11200 + ((-3861*S[-1, Infinity]^2)/1792 + 
     (1193*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((2365*S[-1, Infinity]^3)/384 + (3377*S[-1, Infinity]*S[2, Infinity])/
      896 - (1281*S[3, Infinity])/64)*S[5, Infinity] - 
   (11707*S[-1, Infinity]*S[7, Infinity])/896 + 
   (229*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 + (-20800*S[-7, -1, Infinity] - 5173*S[5, 3, Infinity] - 
     2816*S[-5, -1, -1, -1, Infinity] - 3328*S[-5, -1, 1, 1, Infinity])/512 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/120 + (13*S[-1, 1, 1, 1, Infinity])/
      10) + S[3, Infinity]*((13*S[-1, Infinity]^5)/192 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (10967*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (193*S[-5, -1, Infinity] - 
       72*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-1, 1, -1, -2, -1, 2, Infinity] -> (-73*S[-1, Infinity]^8)/5040 + 
   (611*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (273097*S[2, Infinity]^4)/24500 + ((1027*S[-1, Infinity]^2)/448 + 
     (8321*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-145*S[-1, Infinity]^3)/96 - (43719*S[-1, Infinity]*S[2, Infinity])/
      448 - (285835*S[3, Infinity])/7168)*S[5, Infinity] + 
   (29907*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (3*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    14 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-417*S[-1, Infinity]^4)/1120 + 
     (201*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((821*S[-1, Infinity]^5)/2240 - 
     (2057*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (118999*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (2323*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/360 - 21*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-57*S[-5, -1, Infinity] - 560*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(913*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-5894720*S[-7, -1, Infinity] - 1030641*S[5, 3, Infinity] - 
     764160*S[-5, -1, -1, -1, Infinity] - 400640*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -2, -1, -2, Infinity] -> 
  (89*S[-1, Infinity]^8)/10080 - (3219*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (696473*S[2, Infinity]^4)/78400 + 
   ((2621*S[-1, Infinity]^2)/896 + (25899*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-145*S[-1, Infinity]^3)/96 - 
     (80403*S[-1, Infinity]*S[2, Infinity])/896 - (172799*S[3, Infinity])/
      7168)*S[5, Infinity] + (29907*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (3*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((377*S[-1, Infinity]^4)/672 + 
     (859*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/280 - 
     (2491*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (137423*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (537*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-71*S[-1, Infinity]^6)/720 + (2229*S[-5, -1, Infinity])/
      28 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(1039*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-1898432*S[-7, -1, Infinity] - 291307*S[5, 3, Infinity] - 
     185088*S[-5, -1, -1, -1, Infinity] - 191232*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, -1, -2, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/126 + (599*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (108791*S[2, Infinity]^4)/78400 + 
   ((193*S[-1, Infinity]^2)/256 - (11943*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-277*S[-1, Infinity]^3)/192 + 
     (1953*S[-1, Infinity]*S[2, Infinity])/64 - (65*S[3, Infinity])/896)*
    S[5, Infinity] + (14067*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (21*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((403*S[-1, Infinity]^4)/1680 + 
     (227*S[-1, 1, 1, 1, Infinity])/70) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/140 + 
     (419*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (3119*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (81*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/9 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (313*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (50368*S[-7, -1, Infinity] + 8349*S[5, 3, Infinity] + 
     13824*S[-5, -1, -1, -1, Infinity] - 7552*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, 1, -1, -2, -2, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/1008 + (2591*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (323213*S[2, Infinity]^4)/196000 + 
   ((691*S[-1, Infinity]^2)/448 - (2529*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-277*S[-1, Infinity]^3)/192 + 
     (1347*S[-1, Infinity]*S[2, Infinity])/56 - (45333*S[3, Infinity])/7168)*
    S[5, Infinity] + (14067*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (137*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-1501*S[-1, Infinity]^4)/3360 + 
     (549*S[-1, 1, 1, 1, Infinity])/140) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-673*S[-1, Infinity]^5)/3360 + 
     (213*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (3895*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (183*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (267*S[-5, -1, Infinity])/28 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1549760*S[-7, -1, Infinity] + 167763*S[5, 3, Infinity] + 
     75520*S[-5, -1, -1, -1, Infinity] + 121600*S[-5, -1, 1, 1, Infinity] + 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -1, -3, 1, 1, Infinity] -> 
  (3*S[-1, Infinity]^8)/1120 + (451*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (361229*S[2, Infinity]^4)/392000 + 
   ((445*S[-1, Infinity]^2)/112 + (517*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-1427*S[-1, Infinity]^3)/384 - 
     (7755*S[-1, Infinity]*S[2, Infinity])/896 + (9281*S[3, Infinity])/3584)*
    S[5, Infinity] + (23115*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((179*S[-1, Infinity]^4)/1680 - 
     (39*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-171*S[-1, Infinity]^5)/1120 + 
     (401*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (5827*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (127*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-101*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-851*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(142*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (324480*S[-7, -1, Infinity] + 19111*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 94720*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -1, -3, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/560 + (2069*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (46359*S[2, Infinity]^4)/11200 + ((41*S[-1, Infinity]^2)/28 - 
     (1071*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-1427*S[-1, Infinity]^3)/384 + (26613*S[-1, Infinity]*S[2, Infinity])/
      896 + (1197*S[3, Infinity])/32)*S[5, Infinity] + 
   (23115*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/240 - 
     (39*S[-1, 1, 1, 1, Infinity])/20) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/160 + 
     (305*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (32267*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/144 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-225*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (3*S[-1, Infinity]^2*(153*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(142*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (24192*S[-7, -1, Infinity] + 4717*S[5, 3, Infinity] + 
     2944*S[-5, -1, -1, -1, Infinity] + 2688*S[-5, -1, 1, 1, Infinity] - 
     8192*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/256, 
 S[-1, 1, -1, -3, -1, 1, Infinity] -> (163*S[-1, Infinity]^8)/20160 + 
   (33*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4111*S[2, Infinity]^4)/875 + ((3249*S[-1, Infinity]^2)/896 - 
     (327*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-163*S[-1, Infinity]^3)/96 - (1795*S[-1, Infinity]*S[2, Infinity])/224 + 
     (10775*S[3, Infinity])/512)*S[5, Infinity] + 
   (29501*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (21*S[-1, 1, 1, 1, Infinity])/
      20) - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/80 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (1321*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     22*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-79*S[-5, -1, Infinity] - 72*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (3*S[-1, Infinity]^2*(5*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(61*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (61440*S[-7, -1, Infinity] - 5259*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 19200*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 51200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, -1, -3, -1, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/6720 + (39*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (6143*S[2, Infinity]^4)/4000 + ((1479*S[-1, Infinity]^2)/224 + 
     (143*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-163*S[-1, Infinity]^3)/96 - (5827*S[-1, Infinity]*S[2, Infinity])/224 - 
     (3287*S[3, Infinity])/512)*S[5, Infinity] + 
   (29501*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/24 + 
     (21*S[-1, 1, 1, 1, Infinity])/10) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-67*S[-1, Infinity]^5)/240 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (899*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (3*S[-1, Infinity]^2*(61*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-17*S[-5, -1, Infinity] + 6*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(61*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-24960*S[-7, -1, Infinity] - 19177*S[5, 3, Infinity] - 
     28160*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2 - 25600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, -2, 2, 1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/2016 + (111*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (1123193*S[2, Infinity]^4)/784000 + 
   ((129*S[-1, Infinity]^2)/112 + (285*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/192 + 
     (2215*S[-1, Infinity]*S[2, Infinity])/448 - (51871*S[3, Infinity])/7168)*
    S[5, Infinity] - (37007*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((33*S[-1, Infinity]^4)/280 + 
     (76*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-163*S[-1, Infinity]^5)/840 + 
     (107*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (3055*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (95*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (47*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-139200*S[-7, -1, Infinity] - 20033*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 120320*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -2, 2, 1, -1, Infinity] -> 
  (157*S[-1, Infinity]^8)/13440 + (55*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (4900149*S[2, Infinity]^4)/784000 + 
   ((343*S[-1, Infinity]^2)/256 - (7337*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/384 + 
     (1145*S[-1, Infinity]*S[2, Infinity])/128 + (26533*S[3, Infinity])/1792)*
    S[5, Infinity] - (37007*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-221*S[-1, Infinity]^4)/280 + 
     (157*S[-1, 1, 1, 1, Infinity])/70) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-277*S[-1, Infinity]^5)/840 + 
     (317*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2833*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (323*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-905*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (334240*S[-7, -1, Infinity] + 34057*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] + 56160*S[-5, -1, 1, 1, Infinity] + 
     47040*S[-1, 1, 1, 1, Infinity]^2 - 250880*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, -2, 2, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1260 - (31*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (900569*S[2, Infinity]^4)/196000 + 
   ((9437*S[-1, Infinity]^2)/1792 - (549*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/64 - 
     (14045*S[-1, Infinity]*S[2, Infinity])/448 + (13981*S[3, Infinity])/
      1792)*S[5, Infinity] + (218077*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((353*S[-1, Infinity]^4)/3360 + 
     (10*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-57*S[-1, Infinity]^5)/560 - (533*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (6213*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(39*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-677*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (182080*S[-7, -1, Infinity] + 7201*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] + 48000*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 322560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, 1, -2, 2, -1, -1, Infinity] -> 
  (25*S[-1, Infinity]^8)/2016 - (125*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (16417*S[2, Infinity]^4)/16000 + ((2111*S[-1, Infinity]^2)/448 + 
     (455*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-775*S[-1, Infinity]^3)/96 - (8403*S[-1, Infinity]*S[2, Infinity])/224 - 
     (30883*S[3, Infinity])/1024)*S[5, Infinity] + 
   (218077*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((433*S[-1, Infinity]^4)/480 + S[-1, 1, 1, 1, Infinity]/
      4) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/80 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (43731*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, Infinity]) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (5*(35*S[-5, -1, Infinity] - 
        32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(23*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-208960*S[-7, -1, Infinity] - 51419*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] + 
     20480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, 1, -2, 1, 2, 1, Infinity] -> (157*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (24929*S[2, Infinity]^4)/16000 + 
   ((655*S[-1, Infinity]^2)/896 - (65*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-341*S[-1, Infinity]^3)/64 + (4461*S[-1, Infinity]*S[2, Infinity])/224 + 
     (12339*S[3, Infinity])/1024)*S[5, Infinity] + 
   (49269*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (38*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   S[2, Infinity]*S[-5, -1, Infinity] - 
   (9*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    14 + (159040*S[-7, -1, Infinity] + 41893*S[5, 3, Infinity] + 
     39680*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/
    5120 + S[2, Infinity]^2*(S[-1, Infinity]^4/240 - 
     S[-1, 1, 1, 1, Infinity]/10) + S[3, Infinity]*
    (-S[-1, Infinity]^5/40 + (S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (32199*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, -2, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/128 + (1751*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1107161*S[2, Infinity]^4)/392000 + 
   ((55*S[-1, Infinity]^2)/56 - (3063*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-527*S[-1, Infinity]^3)/128 + (10839*S[-1, Infinity]*S[2, Infinity])/
      896 - (61483*S[3, Infinity])/7168)*S[5, Infinity] + 
   (49269*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (127*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (9*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((641*S[-1, Infinity]^4)/1680 + 
     (83*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (32960*S[-7, -1, Infinity] + 115117*S[5, 3, Infinity] + 
     213760*S[-5, -1, -1, -1, Infinity] - 186880*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/224 + 
     (251*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (7767*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (285*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + (271*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, 1, -2, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/1152 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (12601*S[2, Infinity]^4)/168000 + ((-369*S[-1, Infinity]^2)/448 + 
     (529*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/48 - (2467*S[-1, Infinity]*S[2, Infinity])/448 - 
     (9849*S[3, Infinity])/1024)*S[5, Infinity] - 
   (47601*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (137*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-37*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((41*S[-1, Infinity]^4)/960 + 
     (29*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-103360*S[-7, -1, Infinity] - 20761*S[5, 3, Infinity] - 
     11520*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (10879*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     2*(3*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])), 
 S[-1, 1, -2, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/288 - 
   (593*S[-1, Infinity]^2*S[2, Infinity]^3)/336 - 
   (1683817*S[2, Infinity]^4)/2352000 + 
   ((-243*S[-1, Infinity]^2)/896 + (9655*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (3373*S[-1, Infinity]*S[2, Infinity])/224 - (58747*S[3, Infinity])/7168)*
    S[5, Infinity] - (47601*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (247*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-37*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/672 + 
     (27*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-1022400*S[-7, -1, Infinity] - 241119*S[5, 3, Infinity] - 
     221440*S[-5, -1, -1, -1, Infinity] - 47360*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/6720 - 
     (547*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (24567*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (43*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 1, -2, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/10080 - 
   (13297*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (20924887*S[2, Infinity]^4)/1176000 + 
   ((-5247*S[-1, Infinity]^2)/896 + (32345*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1767*S[-1, Infinity]^3)/64 - 
     (65265*S[-1, Infinity]*S[2, Infinity])/448 - (731173*S[3, Infinity])/
      7168)*S[5, Infinity] - (219437*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (1209*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((2129*S[-1, Infinity]^4)/3360 + 
     (1567*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((3197*S[-1, Infinity]^5)/3360 - 
     (1681*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (319073*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1581*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 + (5003*S[-5, -1, Infinity])/
      28 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-172*S[-5, 1, 1, Infinity] + 
      227*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-21332160*S[-7, -1, Infinity] - 3451257*S[5, 3, Infinity] - 
     2330880*S[-5, -1, -1, -1, Infinity] - 
     2077440*S[-5, -1, 1, 1, Infinity] - 71680*S[-1, 1, 1, 1, Infinity]^2 + 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -2, 1, -1, -2, Infinity] -> (-13*S[-1, Infinity]^8)/1440 - 
   (23699*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (32432699*S[2, Infinity]^4)/2352000 + 
   ((-1917*S[-1, Infinity]^2)/256 + (111547*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((10757*S[-1, Infinity]^3)/384 - 
     (14693*S[-1, Infinity]*S[2, Infinity])/128 - (37665*S[3, Infinity])/448)*
    S[5, Infinity] - (219437*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (299*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-251*S[-1, Infinity]^4)/672 + 
     (54*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((4831*S[-1, Infinity]^5)/6720 - (1601*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (17569*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (4761*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/360 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (6539*S[-5, -1, Infinity] + 
       1344*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-172*S[-5, 1, 1, Infinity] + 
      227*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-7895360*S[-7, -1, Infinity] - 1337541*S[5, 3, Infinity] - 
     957440*S[-5, -1, -1, -1, Infinity] - 727040*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -2, 1, -2, 1, Infinity] -> 
  (-101*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (233749*S[2, Infinity]^4)/784000 + 
   ((823*S[-1, Infinity]^2)/1792 + (897*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/128 - 
     (3069*S[-1, Infinity]*S[2, Infinity])/896 - (1361*S[3, Infinity])/1792)*
    S[5, Infinity] + (1737*S[-1, Infinity]*S[7, Infinity])/896 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (101*S[2, Infinity]*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 + (5120*S[-7, -1, Infinity] - 2123*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] + 3200*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(S[-1, Infinity]^4/168 - 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/448 + (15*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1731*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (45*S[-1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, -2, 1, -2, -1, Infinity] -> 
  (1399*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (299683*S[2, Infinity]^4)/784000 + 
   ((-905*S[-1, Infinity]^2)/1792 - (12855*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (6831*S[-1, Infinity]*S[2, Infinity])/448 + (31327*S[3, Infinity])/1792)*
    S[5, Infinity] + (1737*S[-1, Infinity]*S[7, Infinity])/896 - 
   (169*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 + (841280*S[-7, -1, Infinity] + 155221*S[5, 3, Infinity] + 
     110080*S[-5, -1, -1, -1, Infinity] + 104960*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-8*S[-1, Infinity]^4)/105 - 
     (41*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-207*S[-1, Infinity]^5)/2240 + (207*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (15261*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (621*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - (971*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, 1, -2, -1, 2, 1, Infinity] -> (-109*S[-1, Infinity]^8)/40320 - 
   (2487*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (10875429*S[2, Infinity]^4)/784000 + 
   ((-3177*S[-1, Infinity]^2)/224 + (55821*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((5487*S[-1, Infinity]^3)/128 - 
     (98755*S[-1, Infinity]*S[2, Infinity])/896 - (531141*S[3, Infinity])/
      7168)*S[5, Infinity] - (1452345*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/224 + 
     (135*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((1031*S[-1, Infinity]^5)/1344 - (5141*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (281079*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (5435*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (4429*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(-867*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-586*S[-5, 1, 1, Infinity] + 
      653*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-19347520*S[-7, -1, Infinity] - 3089861*S[5, 3, Infinity] - 
     2151680*S[-5, -1, -1, -1, Infinity] - 
     1772800*S[-5, -1, 1, 1, Infinity] + 17920*S[-1, 1, 1, 1, Infinity]^2 + 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, 1, -2, -1, 2, -1, Infinity] -> -S[-1, Infinity]^8/126 - 
   (1203*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2564743*S[2, Infinity]^4)/196000 + 
   ((-16893*S[-1, Infinity]^2)/896 + (38387*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((4433*S[-1, Infinity]^3)/96 - 
     (7107*S[-1, Infinity]*S[2, Infinity])/448 - (288649*S[3, Infinity])/
      7168)*S[5, Infinity] - (1452345*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-2559*S[-1, Infinity]^4)/1120 + 
     (239*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((1483*S[-1, Infinity]^5)/6720 - (349*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (99711*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1763*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-557*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((113*S[-1, Infinity]^6)/720 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (647*S[-5, -1, Infinity] + 
       1680*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-586*S[-5, 1, 1, Infinity] + 
      653*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-7440320*S[-7, -1, Infinity] - 1352403*S[5, 3, Infinity] - 
     961280*S[-5, -1, -1, -1, Infinity] - 633600*S[-5, -1, 1, 1, Infinity] + 
     286720*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -2, -1, 1, 2, Infinity] -> 
  (-319*S[-1, Infinity]^8)/40320 + (2453*S[-1, Infinity]^2*S[2, Infinity]^3)/
    240 - (3768691*S[2, Infinity]^4)/235200 + 
   ((5907*S[-1, Infinity]^2)/896 - (9533*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-2139*S[-1, Infinity]^3)/64 + 
     (19997*S[-1, Infinity]*S[2, Infinity])/112 + (828545*S[3, Infinity])/
      7168)*S[5, Infinity] + (30243*S[-1, Infinity]*S[7, Infinity])/224 - 
   (1439*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-277*S[-1, Infinity]^4)/840 - 
     (839*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-3349*S[-1, Infinity]^5)/3360 + 
     (6607*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (364149*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1657*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/160 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(-1165*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (S[-1, Infinity]*(208*S[-5, 1, 1, Infinity] - 
      275*S[5, -1, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (4676928*S[-7, -1, Infinity] + 779865*S[5, 3, Infinity] + 
     561408*S[-5, -1, -1, -1, Infinity] + 427776*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1720320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, -2, -1, 1, -2, Infinity] -> 
  (13*S[-1, Infinity]^8)/1440 + (28477*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (4132487*S[2, Infinity]^4)/294000 + 
   ((17169*S[-1, Infinity]^2)/1792 - (114805*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-12989*S[-1, Infinity]^3)/384 + 
     (97599*S[-1, Infinity]*S[2, Infinity])/896 + (86027*S[3, Infinity])/896)*
    S[5, Infinity] + (30243*S[-1, Infinity]*S[7, Infinity])/224 - 
   (2283*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((1391*S[-1, Infinity]^4)/3360 - 
     (573*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-4913*S[-1, Infinity]^5)/6720 + 
     (2411*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (129417*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (4843*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/720 + 5*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-7237*S[-5, -1, Infinity] - 
       840*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(208*S[-5, 1, 1, Infinity] - 275*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (8196800*S[-7, -1, Infinity] + 1450839*S[5, 3, Infinity] + 
     1022720*S[-5, -1, -1, -1, Infinity] + 769280*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -2, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/90 + (7019*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (4198721*S[2, Infinity]^4)/168000 + 
   ((1691*S[-1, Infinity]^2)/128 - (425*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-10013*S[-1, Infinity]^3)/192 + (6257*S[-1, Infinity]*S[2, Infinity])/
      32 + (122375*S[3, Infinity])/1024)*S[5, Infinity] + 
   (61855*S[-1, Infinity]*S[7, Infinity])/256 - 
   (527*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((85*S[-1, Infinity]^4)/96 - 
     (53*S[-1, 1, 1, 1, Infinity])/4) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1109*S[-1, Infinity]^5)/960 + 
     (1079*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (60683*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (1109*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/144 + 13*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(-77*S[-5, -1, Infinity] - 18*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) - 
   (3*S[-1, Infinity]*(14*S[-5, 1, 1, Infinity] - 21*S[5, -1, -1, Infinity] - 
      64*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (3963840*S[-7, -1, Infinity] + 665961*S[5, 3, Infinity] + 
     485120*S[-5, -1, -1, -1, Infinity] + 339200*S[-5, -1, 1, 1, Infinity] - 
     1638400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, 1, -2, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/140 + 
   (2735*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - 
   (2658493*S[2, Infinity]^4)/84000 + 
   ((899*S[-1, Infinity]^2)/128 - (38833*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-3255*S[-1, Infinity]^3)/64 + 
     (41125*S[-1, Infinity]*S[2, Infinity])/128 + (194635*S[3, Infinity])/
      1024)*S[5, Infinity] + (61855*S[-1, Infinity]*S[7, Infinity])/256 - 
   (703*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/30 - 
     (87*S[-1, 1, 1, 1, Infinity])/4) + S[3, Infinity]*
    ((-85*S[-1, Infinity]^5)/48 + (1607*S[-1, Infinity]^3*S[2, Infinity])/
      96 + (92087*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (425*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1369*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (3*S[-1, Infinity]*(14*S[-5, 1, 1, Infinity] - 21*S[5, -1, -1, Infinity] - 
      64*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (6120640*S[-7, -1, Infinity] + 1008111*S[5, 3, Infinity] + 
     710400*S[-5, -1, -1, -1, Infinity] + 556800*S[-5, -1, 1, 1, Infinity] - 
     2457600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/5120, 
 S[-1, 1, -2, -1, -2, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (1075*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (835677*S[2, Infinity]^4)/196000 + 
   ((-7547*S[-1, Infinity]^2)/896 + (20291*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1767*S[-1, Infinity]^3)/64 - 
     (10705*S[-1, Infinity]*S[2, Infinity])/112 - (264539*S[3, Infinity])/
      7168)*S[5, Infinity] - (125611*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-263*S[-1, Infinity]^4)/672 - 
     (45*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((169*S[-1, Infinity]^5)/280 - 
     (3979*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (177791*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (769*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(-45*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(1483*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-185*S[-5, 1, 1, Infinity] + 
      214*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-9424320*S[-7, -1, Infinity] - 1585897*S[5, 3, Infinity] - 
     1416960*S[-5, -1, -1, -1, Infinity] - 410880*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, Infinity]^2 + 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -2, -1, -2, -1, Infinity] -> 
  (73*S[-1, Infinity]^8)/3360 - (13463*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (130579*S[2, Infinity]^4)/9800 + 
   ((-113*S[-1, Infinity]^2)/32 + (69397*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((9145*S[-1, Infinity]^3)/384 - 
     (24729*S[-1, Infinity]*S[2, Infinity])/128 - (568313*S[3, Infinity])/
      7168)*S[5, Infinity] - (125611*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((1599*S[-1, Infinity]^4)/1120 + 
     (197*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((1163*S[-1, Infinity]^5)/1120 - (6901*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (50027*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (2999*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-25*S[-1, Infinity]^6)/144 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (25*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(1695*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(-117*S[-5, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-185*S[-5, 1, 1, Infinity] + 
      214*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-4628544*S[-7, -1, Infinity] - 753573*S[5, 3, Infinity] - 
     532736*S[-5, -1, -1, -1, Infinity] - 395520*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2 + 2007040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, 1, -2, -2, 1, 1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/8064 + (139*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (708219*S[2, Infinity]^4)/784000 + 
   ((3231*S[-1, Infinity]^2)/1792 - (17637*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/48 + 
     (2423*S[-1, Infinity]*S[2, Infinity])/224 + (16547*S[3, Infinity])/7168)*
    S[5, Infinity] + (195141*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((319*S[-1, Infinity]^4)/3360 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/840 + 
     (737*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (29291*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(64*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-313*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2705600*S[-7, -1, Infinity] + 461231*S[5, 3, Infinity] + 
     362240*S[-5, -1, -1, -1, Infinity] + 157440*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, 1, -2, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/280 - (1507*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (309793*S[2, Infinity]^4)/156800 + 
   ((403*S[-1, Infinity]^2)/112 - (579*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/32 - 
     (579*S[-1, Infinity]*S[2, Infinity])/28 - (8235*S[3, Infinity])/1792)*
    S[5, Infinity] + (195141*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (6080*S[-7, -1, Infinity] - 1643*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((1133*S[-1, Infinity]^4)/3360 - 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*(-S[-1, Infinity]^5/84 - 
     (275*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2641*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[2, Infinity]*(149*S[-5, -1, Infinity] - 
      504*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, 1, -2, -2, -1, 1, Infinity] -> (-109*S[-1, Infinity]^8)/10080 + 
   (1171*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (76501*S[2, Infinity]^4)/31360 + ((-4209*S[-1, Infinity]^2)/1792 - 
     (17987*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 + (9299*S[-1, Infinity]*S[2, Infinity])/
      224 + (42195*S[3, Infinity])/7168)*S[5, Infinity] + 
   (23407*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-887*S[-1, Infinity]^4)/1680 + 
     (381*S[-1, 1, 1, 1, Infinity])/140) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-151*S[-1, Infinity]^5)/1680 + 
     (863*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (9995*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (157*S[-5, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(75*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 36*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (231104*S[-7, -1, Infinity] + 75701*S[5, 3, Infinity] + 
     90368*S[-5, -1, -1, -1, Infinity] - 43776*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, 1, -2, -2, -1, -1, Infinity] -> (-13*S[-1, Infinity]^8)/504 + 
   (157*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (92787*S[2, Infinity]^4)/98000 + ((-2187*S[-1, Infinity]^2)/448 - 
     (2425*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/128 + (67111*S[-1, Infinity]*S[2, Infinity])/896 + 
     (10753*S[3, Infinity])/3584)*S[5, Infinity] + 
   (23407*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/70 - 
     (129*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-97*S[-1, Infinity]^5)/1680 + 
     (325*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (41957*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-283*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-335*S[-5, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 36*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2424000*S[-7, -1, Infinity] + 477833*S[5, 3, Infinity] + 
     444160*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -3, 1, 1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/448 - (367*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (977429*S[2, Infinity]^4)/1176000 + 
   ((-533*S[-1, Infinity]^2)/224 - (97*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/96 - 
     (277*S[-1, Infinity]*S[2, Infinity])/56 + (8649*S[3, Infinity])/3584)*
    S[5, Infinity] + (517*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[2, Infinity]^2*((-223*S[-1, Infinity]^4)/1120 - 
     (101*S[-1, 1, 1, 1, Infinity])/140) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/168 - 
     (32*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (8123*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (295*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(10*S[-5, -1, Infinity] + 
      21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*S[-5, -1, Infinity] + 35*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-148800*S[-7, -1, Infinity] + 563*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -3, 1, 1, -1, Infinity] -> 
  (-373*S[-1, Infinity]^8)/40320 + (323*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (105713*S[2, Infinity]^4)/47040 + 
   ((-3221*S[-1, Infinity]^2)/896 - (6275*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 + 
     (9183*S[-1, Infinity]*S[2, Infinity])/448 + (603*S[3, Infinity])/448)*
    S[5, Infinity] + (517*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[2, Infinity]^2*((-263*S[-1, Infinity]^4)/1680 - 
     (29*S[-1, 1, 1, 1, Infinity])/7) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((377*S[-1, Infinity]^5)/2240 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (4827*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((47*S[-1, Infinity]^6)/720 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(5*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(27*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (22752*S[-7, -1, Infinity] + 6525*S[5, 3, Infinity] + 
     7424*S[-5, -1, -1, -1, Infinity] - 1600*S[-5, -1, 1, 1, Infinity] - 
     5824*S[-1, 1, 1, 1, Infinity]^2 + 8960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[-1, 1, -3, 1, -1, 1, Infinity] -> 
  (-233*S[-1, Infinity]^8)/20160 - (101*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (112949*S[2, Infinity]^4)/147000 + 
   ((11*S[-1, Infinity]^2)/28 - (6233*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/64 + (9865*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1059*S[3, Infinity])/896)*S[5, Infinity] - 
   (1151*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/336 - 
     (103*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/672 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (4679*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (80*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-265*S[-5, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(29*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (312000*S[-7, -1, Infinity] + 44679*S[5, 3, Infinity] + 
     37120*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 89600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, -3, 1, -1, -1, Infinity] -> 
  (-197*S[-1, Infinity]^8)/20160 - (1181*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (143119*S[2, Infinity]^4)/147000 + 
   ((305*S[-1, Infinity]^2)/112 + (3141*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/384 - 
     (23729*S[-1, Infinity]*S[2, Infinity])/896 - (5321*S[3, Infinity])/3584)*
    S[5, Infinity] - (1151*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((279*S[-1, Infinity]^4)/560 + 
     (129*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((323*S[-1, Infinity]^5)/2240 - (647*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (21459*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (327*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(29*S[-5, -1, Infinity] + 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (523*S[-5, -1, Infinity] + 
       140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-312000*S[-7, -1, Infinity] - 44679*S[5, 3, Infinity] - 
     37120*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 + 89600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, 1, -3, -1, 1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/2688 + (1613*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 - (588137*S[2, Infinity]^4)/588000 + 
   ((3529*S[-1, Infinity]^2)/896 - (495*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-713*S[-1, Infinity]^3)/128 + 
     (6253*S[-1, Infinity]*S[2, Infinity])/896 + (30543*S[3, Infinity])/3584)*
    S[5, Infinity] + (23115*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1783*S[-1, Infinity]^4)/3360 - 
     (29*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-587*S[-1, Infinity]^5)/6720 + 
     (67*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5799*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (395*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/15 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-643*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-377*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(142*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (522560*S[-7, -1, Infinity] + 63537*S[5, 3, Infinity] + 
     37120*S[-5, -1, -1, -1, Infinity] + 79360*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, 1, -3, -1, 1, -1, Infinity] -> 
  (43*S[-1, Infinity]^8)/10080 + (349*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (188087*S[2, Infinity]^4)/470400 + 
   ((4951*S[-1, Infinity]^2)/896 + (4561*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2635*S[-1, Infinity]^3)/384 - 
     (20611*S[-1, Infinity]*S[2, Infinity])/896 + (499*S[3, Infinity])/896)*
    S[5, Infinity] + (23115*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1171*S[-1, Infinity]^4)/1120 + 
     (67*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/280 + 
     (59*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2103*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (102*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1607*S[-5, -1, Infinity] - 
       280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-61*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(142*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-148480*S[-7, -1, Infinity] - 19955*S[5, 3, Infinity] - 
     16512*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 + 57344*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, 1, -3, -1, -1, 1, Infinity] -> 
  (59*S[-1, Infinity]^8)/10080 - (137*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 + (75313*S[2, Infinity]^4)/48000 + 
   ((-3485*S[-1, Infinity]^2)/896 - (239*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/48 + 
     (4799*S[-1, Infinity]*S[2, Infinity])/224 + (821*S[3, Infinity])/256)*
    S[5, Infinity] - (220341*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-217*S[-1, Infinity]^4)/480 + 
     (7*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/320 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (7853*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     S[-1, 1, 1, 1, 1, Infinity]/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(57*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-19*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-88*S[-5, 1, 1, Infinity] + 129*S[5, -1, -1, Infinity] + 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (59520*S[-7, -1, Infinity] + 5481*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 8320*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2 + 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, 1, -3, -1, -1, -1, Infinity] -> 
  (23*S[-1, Infinity]^8)/6720 + (2669*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (1921121*S[2, Infinity]^4)/1176000 + 
   ((-1031*S[-1, Infinity]^2)/224 - (3097*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((3007*S[-1, Infinity]^3)/384 + 
     (30875*S[-1, Infinity]*S[2, Infinity])/896 + (23207*S[3, Infinity])/
      3584)*S[5, Infinity] - (220341*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-115*S[-1, Infinity]^4)/336 - 
     (41*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/280 + 
     (67*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (17417*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (61*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-171*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-85*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-88*S[-5, 1, 1, Infinity] + 129*S[5, -1, -1, Infinity] + 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (632320*S[-7, -1, Infinity] + 135287*S[5, 3, Infinity] + 
     117760*S[-5, -1, -1, -1, Infinity] + 30080*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, 3, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/1008 + 
   (83*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + (2852729*S[2, Infinity]^4)/
    2352000 + ((319*S[-1, Infinity]^2)/448 + (375*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (2155*S[-1, Infinity]*S[2, Infinity])/448 - (5017*S[3, Infinity])/3584)*
    S[5, Infinity] - (29529*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/3360 - 
     (61*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-73*S[-1, Infinity]^5)/3360 - (25*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (421*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
     (2*(17*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(15*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-91200*S[-7, -1, Infinity] - 45971*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] + 39040*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, 3, 1, 1, -1, Infinity] -> (19*S[-1, Infinity]^8)/5040 + 
   (953*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (53927*S[2, Infinity]^4)/94080 + 
   (-S[-1, Infinity]^2/14 - (101*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 + (2775*S[-1, Infinity]*S[2, Infinity])/224 + 
     (43103*S[3, Infinity])/3584)*S[5, Infinity] - 
   (29529*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-113*S[-1, Infinity]^4)/840 + 
     (81*S[-1, 1, 1, 1, Infinity])/140) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-223*S[-1, Infinity]^5)/3360 + 
     (79*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (1467*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-141*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-69*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (21312*S[-7, -1, Infinity] + 14093*S[5, 3, Infinity] + 
     14848*S[-5, -1, -1, -1, Infinity] + 384*S[-5, -1, 1, 1, Infinity] + 
     28672*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-1, -1, 3, 1, -1, 1, Infinity] -> (-163*S[-1, Infinity]^8)/20160 + 
   (5447*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (2163773*S[2, Infinity]^4)/470400 + 
   ((-2279*S[-1, Infinity]^2)/1792 - (23673*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/192 + 
     (13557*S[-1, Infinity]*S[2, Infinity])/448 + (195995*S[3, Infinity])/
      7168)*S[5, Infinity] - (11955*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-407*S[-1, Infinity]^4)/3360 - 
     (39*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/224 + 
     (691*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (51727*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (223*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-143*S[-5, -1, Infinity] - 
       70*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-141*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (566848*S[-7, -1, Infinity] + 109999*S[5, 3, Infinity] + 
     68352*S[-5, -1, -1, -1, Infinity] + 58880*S[-5, -1, 1, 1, Infinity] - 
     157696*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, -1, 3, 1, -1, -1, Infinity] -> (-359*S[-1, Infinity]^8)/40320 + 
   (313*S[-1, Infinity]^2*S[2, Infinity]^3)/240 + 
   (599561*S[2, Infinity]^4)/588000 + 
   ((1717*S[-1, Infinity]^2)/1792 + (11765*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 - 
     (16595*S[-1, Infinity]*S[2, Infinity])/896 - (15999*S[3, Infinity])/
      7168)*S[5, Infinity] - (11955*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1789*S[-1, Infinity]^4)/6720 + 
     (9*S[-1, 1, 1, 1, Infinity])/56) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/672 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3471*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(81*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((77*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (47*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (3*(425280*S[-7, -1, Infinity] + 90609*S[5, 3, Infinity] + 
      75520*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 3, -1, 1, 1, Infinity] -> 
  (31*S[-1, Infinity]^8)/4032 + (23*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (35299*S[2, Infinity]^4)/1176000 + 
   ((5241*S[-1, Infinity]^2)/1792 - (7493*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-3379*S[-1, Infinity]^3)/384 - 
     (2179*S[-1, Infinity]*S[2, Infinity])/896 + (28589*S[3, Infinity])/7168)*
    S[5, Infinity] + (83645*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (127*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((691*S[-1, Infinity]^4)/1680 - 
     (129*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((197*S[-1, Infinity]^5)/3360 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (4909*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (153*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 - (89*S[-5, -1, Infinity])/56 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (860480*S[-7, -1, Infinity] + 159851*S[5, 3, Infinity] + 
     139520*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 3, -1, 1, -1, Infinity] -> (43*S[-1, Infinity]^8)/10080 - 
   (1049*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (5823397*S[2, Infinity]^4)/1176000 + 
   ((7401*S[-1, Infinity]^2)/1792 + (14681*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-3875*S[-1, Infinity]^3)/384 - 
     (28691*S[-1, Infinity]*S[2, Infinity])/896 - (192237*S[3, Infinity])/
      7168)*S[5, Infinity] + (83645*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (113*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((991*S[-1, Infinity]^4)/1120 + 
     (57*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/224 - 
     (201*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (44361*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (585*S[-1, 1, 1, 1, 1, Infinity])/28) - S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^6/30 + 
     (1611*S[-5, -1, Infinity])/56 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity]) - (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 
      52*S[5, -1, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-2509760*S[-7, -1, Infinity] - 401167*S[5, 3, Infinity] - 
     167680*S[-5, -1, -1, -1, Infinity] - 360960*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 3, -1, -1, 1, Infinity] -> 
  (137*S[-1, Infinity]^8)/13440 - (1835*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 + (1369*S[2, Infinity]^4)/2688 + 
   ((9*S[-1, Infinity]^2)/14 - (7*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/64 - (397*S[-1, Infinity]*S[2, Infinity])/448)*
    S[5, Infinity] - (16367*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[2, Infinity]^2*
    ((-47*S[-1, Infinity]^4)/320 + (9*S[-1, 1, 1, 1, Infinity])/8) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/8 + 
     (39*S[-1, Infinity]*S[2, Infinity]^2)/28 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/160 + (5*S[-5, -1, Infinity])/2 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, -1, 3, -1, -1, -1, Infinity] -> (13*S[-1, Infinity]^8)/2520 - 
   (11*S[-1, Infinity]^4*S[2, Infinity]^2)/80 - 
   (2131*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (10399*S[2, Infinity]^4)/16800 + 
   ((9*S[-1, Infinity]^2)/14 - S[2, Infinity]/2)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/128 + (1159*S[-1, Infinity]*S[2, Infinity])/896 - 
     (279*S[3, Infinity])/256)*S[5, Infinity] - 
   (16367*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/240 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (179*S[-1, Infinity]*S[2, Infinity]^2)/224 + S[-1, 1, 1, 1, 1, Infinity]/
      2) - (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 + (5*S[-5, -1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, -1, 2, 2, 1, 1, Infinity] -> S[-1, Infinity]^8/84 + 
   (57*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (396577*S[2, Infinity]^4)/
    784000 + ((51*S[-1, Infinity]^2)/56 + (107*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (3945*S[-1, Infinity]*S[2, Infinity])/448 - (1685*S[3, Infinity])/224)*
    S[5, Infinity] - (4533*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((857*S[-1, Infinity]^4)/3360 + 
     (263*S[-1, 1, 1, 1, Infinity])/140) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/840 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (6723*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (101*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/9 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (253*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-7120*S[-7, -1, Infinity] - 3567*S[5, 3, Infinity] - 
     800*S[-5, -1, -1, -1, Infinity] - 7600*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[-1, -1, 2, 2, 1, -1, Infinity] -> 
  (253*S[-1, Infinity]^8)/20160 - (309*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (6533467*S[2, Infinity]^4)/784000 + 
   ((83*S[-1, Infinity]^2)/112 - (199*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/128 + (7089*S[-1, Infinity]*S[2, Infinity])/896 + 
     (14421*S[3, Infinity])/1792)*S[5, Infinity] - 
   (4533*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-1055*S[-1, Infinity]^4)/1344 + 
     (109*S[-1, 1, 1, 1, Infinity])/280) - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-1987*S[-1, Infinity]^5)/6720 + 
     (59*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (6829*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (313*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-439*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-29*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (43700*S[-7, -1, Infinity] + 3727*S[5, 3, Infinity] + 
     40*S[-5, -1, -1, -1, Infinity] + 7100*S[-5, -1, 1, 1, Infinity] + 
     5040*S[-1, 1, 1, 1, Infinity]^2 - 33600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[-1, -1, 2, 2, -1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1260 - (81*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (87373*S[2, Infinity]^4)/19600 + ((2003*S[-1, Infinity]^2)/896 + 
     (9481*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/192 - (15385*S[-1, Infinity]*S[2, Infinity])/
      448 - (33779*S[3, Infinity])/1792)*S[5, Infinity] + 
   (2023*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*((101*S[-1, Infinity]^4)/672 + 
     (59*S[-1, 1, 1, 1, Infinity])/70) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((199*S[-1, Infinity]^5)/6720 - 
     (221*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (22933*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (3*S[-1, Infinity]^2*(75*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (143*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   32*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 1, 1, Infinity] + 
   (-49088*S[-7, -1, Infinity] - 18965*S[5, 3, Infinity] - 
     20224*S[-5, -1, -1, -1, Infinity] + 512*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, -1, 2, 2, -1, -1, Infinity] -> 
  (121*S[-1, Infinity]^8)/8064 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (98233*S[2, Infinity]^4)/112000 + 
   ((341*S[-1, Infinity]^2)/128 + (1877*S[2, Infinity])/128)*
    S[3, Infinity]^2 + (-36*S[-1, Infinity]*S[2, Infinity] - 
     (745*S[3, Infinity])/16)*S[5, Infinity] + 
   (2023*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*((1061*S[-1, Infinity]^4)/960 + 
     (5*S[-1, 1, 1, 1, Infinity])/8) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-6720*S[-7, -1, Infinity] - 1393*S[5, 3, Infinity] - 
     960*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] - 
     40*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/60 - (15*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (227*S[-1, Infinity]*S[2, Infinity]^2)/16 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (275*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(35*S[-5, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 32*S[-1, Infinity]*
    S[-1, 1, 1, 1, 1, 1, 1, Infinity], S[-1, -1, 2, 1, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/128 + (41*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (16953*S[2, Infinity]^4)/39200 + ((105*S[-1, Infinity]^2)/64 - 
     (2801*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/32 + (761*S[-1, Infinity]*S[2, Infinity])/64 + 
     (32443*S[3, Infinity])/1792)*S[5, Infinity] + 
   (2283*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((579*S[-1, Infinity]^4)/2240 + 
     (153*S[-1, 1, 1, 1, Infinity])/280) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/32 - (141*S[-5, -1, Infinity])/28 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (21552*S[-7, -1, Infinity] + 9439*S[5, 3, Infinity] + 
     6144*S[-5, -1, -1, -1, Infinity] + 576*S[-5, -1, 1, 1, Infinity] + 
     4032*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-209*S[-1, Infinity]^5)/1344 + 
     (835*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (245*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 2, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/384 + (157*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (270527*S[2, Infinity]^4)/392000 + 
   ((1131*S[-1, Infinity]^2)/448 - (157*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-465*S[-1, Infinity]^3)/128 - 
     (643*S[-1, Infinity]*S[2, Infinity])/448 + (2619*S[3, Infinity])/224)*
    S[5, Infinity] + (2283*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity]))/
    28 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1187*S[-1, Infinity]^4)/6720 + 
     (1397*S[-1, 1, 1, 1, Infinity])/280) + 
   (-135200*S[-7, -1, Infinity] - 421*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-517*S[-1, Infinity]^5)/6720 + 
     (307*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (787*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     S[-1, 1, 1, 1, 1, Infinity]/7) + S[2, Infinity]*
    (S[-1, Infinity]^6/80 + (8*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 2, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/128 + 
   (1231*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (70331*S[2, Infinity]^4)/294000 + 
   ((555*S[-1, Infinity]^2)/896 + (5137*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/32 + 
     (37*S[-1, Infinity]*S[2, Infinity])/56 - (19209*S[3, Infinity])/1792)*
    S[5, Infinity] - (14455*S[-1, Infinity]*S[7, Infinity])/512 + 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/2 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((487*S[-1, Infinity]^4)/6720 + 
     (423*S[-1, 1, 1, 1, Infinity])/280) + 
   (-274720*S[-7, -1, Infinity] - 75431*S[5, 3, Infinity] - 
     49920*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-247*S[-1, Infinity]^5)/1680 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (513*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (62*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, 2, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/384 - 
   (683*S[-1, Infinity]^2*S[2, Infinity]^3)/480 - 
   (406801*S[2, Infinity]^4)/168000 + 
   ((75*S[-1, Infinity]^2)/64 + (1169*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((775*S[-1, Infinity]^3)/192 - (1251*S[-1, Infinity]*S[2, Infinity])/64 - 
     (3241*S[3, Infinity])/512)*S[5, Infinity] - 
   (14455*S[-1, Infinity]*S[7, Infinity])/512 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/320 + 
     (67*S[-1, 1, 1, 1, Infinity])/40) + 
   (-99840*S[-7, -1, Infinity] - 22597*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/12 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (317*S[-1, Infinity]*S[2, Infinity]^2)/64 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 5*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (7*S[-5, -1, Infinity] + 5*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -1, 2, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/2880 - 
   (33701*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (59393479*S[2, Infinity]^4)/2352000 + 
   ((-8293*S[-1, Infinity]^2)/896 + (43719*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((16027*S[-1, Infinity]^3)/384 - 
     (5137*S[-1, Infinity]*S[2, Infinity])/28 - (54479*S[3, Infinity])/448)*
    S[5, Infinity] - (1561351*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((191*S[-1, Infinity]^4)/560 + 
     (419*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((327*S[-1, Infinity]^5)/280 - (3245*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (199201*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1016*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-3869*S[-5, -1, Infinity] - 476*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (3*S[-1, Infinity]^2*(-537*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-527*S[-5, 1, 1, Infinity] + 
      691*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-6794720*S[-7, -1, Infinity] - 1114023*S[5, 3, Infinity] - 
     765440*S[-5, -1, -1, -1, Infinity] - 623360*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 2, 1, -1, -2, Infinity] -> 
  (-13*S[-1, Infinity]^8)/13440 - (39911*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (6270461*S[2, Infinity]^4)/470400 + 
   ((-20807*S[-1, Infinity]^2)/1792 + (132701*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2697*S[-1, Infinity]^3)/64 - 
     (59379*S[-1, Infinity]*S[2, Infinity])/448 - (635071*S[3, Infinity])/
      7168)*S[5, Infinity] - (1561351*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-355*S[-1, Infinity]^4)/1344 + 
     (663*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((451*S[-1, Infinity]^5)/560 - (2909*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (306863*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1423*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(1721*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (S[-1, Infinity]^2*(2753*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-527*S[-5, 1, 1, Infinity] + 
      691*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (3*(-1474880*S[-7, -1, Infinity] - 234679*S[5, 3, Infinity] - 
      164096*S[-5, -1, -1, -1, Infinity] - 136960*S[-5, -1, 1, 1, Infinity] + 
      3584*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/7168, S[-1, -1, 2, 1, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (947*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (457*S[2, Infinity]^4)/196000 + ((-3525*S[-1, Infinity]^2)/1792 - 
     (3755*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/128 - (3553*S[-1, Infinity]*S[2, Infinity])/896 - 
     (6957*S[3, Infinity])/7168)*S[5, Infinity] + 
   (138897*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (117*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (85*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
   S[2, Infinity]^2*((-799*S[-1, Infinity]^4)/6720 + 
     (169*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 + (275*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-93760*S[-7, -1, Infinity] + 59233*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] - 94720*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((323*S[-1, Infinity]^5)/3360 - 
     (281*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2291*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (109*S[-1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, -1, 2, 1, -2, -1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (540301*S[2, Infinity]^4)/112000 + 
   ((-6387*S[-1, Infinity]^2)/1792 - (2357*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((25925*S[-1, Infinity]*S[2, Infinity])/896 - 
     (13797*S[3, Infinity])/1024)*S[5, Infinity] + 
   (138897*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (201*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (85*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
   S[2, Infinity]^2*((187*S[-1, Infinity]^4)/480 - 
     (67*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (267200*S[-7, -1, Infinity] + 53401*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] - 
     30720*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/480 + 
     (119*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (32483*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 - (13*S[-5, -1, Infinity])/8 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 2, -1, 2, 1, Infinity] -> (-307*S[-1, Infinity]^8)/20160 - 
   (16211*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3111309*S[2, Infinity]^4)/196000 + 
   ((-9657*S[-1, Infinity]^2)/448 + (38723*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((24025*S[-1, Infinity]^3)/384 - 
     (125841*S[-1, Infinity]*S[2, Infinity])/896 - (23697*S[3, Infinity])/
      224)*S[5, Infinity] - (135487*S[-1, Infinity]*S[7, Infinity])/448 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-269*S[-1, Infinity]^4)/420 + 
     (293*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3989*S[-1, Infinity]^5)/3360 - (929*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (90401*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (866*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((113*S[-1, Infinity]^6)/1440 + (2649*S[-5, -1, Infinity])/
      14 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (3*S[-1, Infinity]^2*(-135*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (4*S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-6109120*S[-7, -1, Infinity] - 1015551*S[5, 3, Infinity] - 
     727040*S[-5, -1, -1, -1, Infinity] - 527360*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 + 2508800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 2, -1, 2, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/224 - (3637*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (3487473*S[2, Infinity]^4)/392000 + 
   ((-11925*S[-1, Infinity]^2)/448 + (23547*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/8 - 
     (10189*S[-1, Infinity]*S[2, Infinity])/224 - (65465*S[3, Infinity])/896)*
    S[5, Infinity] - (135487*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-737*S[-1, Infinity]^4)/672 - 
     (137*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((2477*S[-1, Infinity]^5)/3360 - 
     (551*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (45797*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (488*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-393*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      14) - (3*S[-1, Infinity]^2*(-93*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (4*S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 66*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-389560*S[-7, -1, Infinity] - 68087*S[5, 3, Infinity] - 
     50560*S[-5, -1, -1, -1, Infinity] - 33440*S[-5, -1, 1, 1, Infinity] - 
     15680*S[-1, 1, 1, 1, Infinity]^2 + 134400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, -1, 2, -1, 1, 2, Infinity] -> 
  (-31*S[-1, Infinity]^8)/2880 + (8651*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 - (7009729*S[2, Infinity]^4)/294000 + 
   ((10609*S[-1, Infinity]^2)/896 - (48183*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-17515*S[-1, Infinity]^3)/384 + 
     (191325*S[-1, Infinity]*S[2, Infinity])/896 + (61277*S[3, Infinity])/
      448)*S[5, Infinity] + (189687*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-481*S[-1, Infinity]^4)/6720 - 
     (3551*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-8761*S[-1, Infinity]^5)/6720 + 
     (8579*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (226117*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1012*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5959*S[-5, -1, Infinity] - 756*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-451*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(295*S[-5, 1, 1, Infinity] - 370*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (7157760*S[-7, -1, Infinity] + 1193049*S[5, 3, Infinity] + 
     857600*S[-5, -1, -1, -1, Infinity] + 638720*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 2, -1, 1, -2, Infinity] -> 
  (47*S[-1, Infinity]^8)/3360 + (45361*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (34707899*S[2, Infinity]^4)/2352000 + 
   ((27869*S[-1, Infinity]^2)/1792 - (126887*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2945*S[-1, Infinity]^3)/64 + 
     (53873*S[-1, Infinity]*S[2, Infinity])/448 + (686473*S[3, Infinity])/
      7168)*S[5, Infinity] + (189687*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((1097*S[-1, Infinity]^4)/3360 - 
     (741*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-1397*S[-1, Infinity]^5)/1344 + 
     (3181*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (63757*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (790*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(689*S[-5, -1, Infinity] - 63*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-2869*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(295*S[-5, 1, 1, Infinity] - 370*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (22125760*S[-7, -1, Infinity] + 3614817*S[5, 3, Infinity] + 
     2484480*S[-5, -1, -1, -1, Infinity] + 
     2138880*S[-5, -1, 1, 1, Infinity] + 215040*S[-1, 1, 1, 1, Infinity]^2 - 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 2, -1, -1, 2, Infinity] -> (67*S[-1, Infinity]^8)/4480 + 
   (76213*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (9841127*S[2, Infinity]^4)/336000 + 
   ((3273*S[-1, Infinity]^2)/112 - (2227*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/16 + 
     (25873*S[-1, Infinity]*S[2, Infinity])/112 + (44609*S[3, Infinity])/256)*
    S[5, Infinity] + (12185*S[-1, Infinity]*S[7, Infinity])/28 + 
   S[2, Infinity]^2*((761*S[-1, Infinity]^4)/960 - 
     (831*S[-1, 1, 1, 1, Infinity])/40) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-221*S[-1, Infinity]^5)/120 + 
     (103*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (9351*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     206*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-1357*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1421*S[-5, -1, Infinity] + 96*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (2*S[-1, Infinity]*(145*S[-5, 1, 1, Infinity] - 
      184*S[5, -1, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (3*(502400*S[-7, -1, Infinity] + 81543*S[5, 3, Infinity] + 
      56320*S[-5, -1, -1, -1, Infinity] + 46720*S[-5, -1, 1, 1, Infinity] + 
      1920*S[-1, 1, 1, 1, Infinity]^2 - 204800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1280, S[-1, -1, 2, -1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/90 + (79309*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (27561557*S[2, Infinity]^4)/588000 + 
   ((1209*S[-1, Infinity]^2)/56 - (2943*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((-4309*S[-1, Infinity]^3)/48 + 
     (11457*S[-1, Infinity]*S[2, Infinity])/28 + (58055*S[3, Infinity])/224)*
    S[5, Infinity] + (12185*S[-1, Infinity]*S[7, Infinity])/28 + 
   S[2, Infinity]^2*((-683*S[-1, Infinity]^4)/1680 - 
     (929*S[-1, 1, 1, 1, Infinity])/35) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2117*S[-1, Infinity]^5)/840 + 
     (503*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (54219*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (2012*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5935*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]^2*(-579*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (2*S[-1, Infinity]*(145*S[-5, 1, 1, Infinity] - 
      184*S[5, -1, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (1768640*S[-7, -1, Infinity] + 293457*S[5, 3, Infinity] + 
     208640*S[-5, -1, -1, -1, Infinity] + 158720*S[-5, -1, 1, 1, Infinity] - 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -1, 2, -1, -2, 1, Infinity] -> (179*S[-1, Infinity]^8)/8064 - 
   (1493*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (8907123*S[2, Infinity]^4)/784000 + 
   ((-2875*S[-1, Infinity]^2)/224 + (12933*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((9083*S[-1, Infinity]^3)/192 - 
     (14283*S[-1, Infinity]*S[2, Infinity])/224 - (6551*S[3, Infinity])/112)*
    S[5, Infinity] - (1844307*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((359*S[-1, Infinity]^4)/2240 + 
     (2213*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((419*S[-1, Infinity]^5)/1344 - 
     (725*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (46771*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (415*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-283*S[-1, Infinity]^6)/1440 + 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-831*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (S[-1, Infinity]^2*(211*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-566*S[-5, 1, 1, Infinity] + 
      897*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-3511680*S[-7, -1, Infinity] - 595513*S[5, 3, Infinity] - 
     446720*S[-5, -1, -1, -1, Infinity] - 283520*S[-5, -1, 1, 1, Infinity] + 
     94080*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, 2, -1, -2, -1, Infinity] -> 
  (41*S[-1, Infinity]^8)/720 - (6303*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (395183*S[2, Infinity]^4)/19600 + 
   ((-2879*S[-1, Infinity]^2)/448 + (47737*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((16709*S[-1, Infinity]^3)/384 - 
     (169247*S[-1, Infinity]*S[2, Infinity])/896 - (42999*S[3, Infinity])/
      448)*S[5, Infinity] - (1844307*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/840 + 
     (1527*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((1067*S[-1, Infinity]^5)/1344 - 
     (7463*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (100441*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (820*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/144 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-453*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(-247*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(-566*S[-5, 1, 1, Infinity] + 
      897*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-10944*S[-7, -1, Infinity] - 1839*S[5, 3, Infinity] - 
     1336*S[-5, -1, -1, -1, Infinity] - 904*S[-5, -1, 1, 1, Infinity] + 
     280*S[-1, 1, 1, 1, Infinity]^2 + 4480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/14, S[-1, -1, 2, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/1344 + (953*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (97571*S[2, Infinity]^4)/98000 + ((523*S[-1, Infinity]^2)/256 - 
     (18605*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-775*S[-1, Infinity]^3)/96 + (425*S[-1, Infinity]*S[2, Infinity])/32 + 
     (15703*S[3, Infinity])/7168)*S[5, Infinity] + 
   (218077*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-179*S[-1, Infinity]^4)/1680 + 
     (109*S[-1, 1, 1, 1, Infinity])/70) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-857*S[-1, Infinity]^5)/6720 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (5153*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] - 
      64*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-209*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2686400*S[-7, -1, Infinity] + 469327*S[5, 3, Infinity] + 
     377600*S[-5, -1, -1, -1, Infinity] + 124160*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 2, -2, 1, -1, Infinity] -> 
  (71*S[-1, Infinity]^8)/10080 - (597*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (757583*S[2, Infinity]^4)/784000 + 
   ((5895*S[-1, Infinity]^2)/1792 + (1159*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/48 - 
     (1861*S[-1, Infinity]*S[2, Infinity])/112 - (126139*S[3, Infinity])/
      7168)*S[5, Infinity] + (218077*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((2239*S[-1, Infinity]^4)/6720 - 
     (153*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/560 - 
     (115*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (5657*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (141*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (264640*S[-7, -1, Infinity] - 33587*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] - 49920*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 2, -2, -1, 1, Infinity] -> (-191*S[-1, Infinity]^8)/40320 + 
   (2251*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (121973*S[2, Infinity]^4)/112000 + 
   ((261*S[-1, Infinity]^2)/224 - (517*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-527*S[-1, Infinity]^3)/64 + (3817*S[-1, Infinity]*S[2, Infinity])/112 + 
     (1989*S[3, Infinity])/64)*S[5, Infinity] + 
   (180591*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/320 + 
     (23*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity] + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/80 + 
     (77*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (7221*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     25*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-55*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 - 9*S[-5, -1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(108*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (89920*S[-7, -1, Infinity] + 24773*S[5, 3, Infinity] + 
     20480*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2 - 30720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, -1, 2, -2, -1, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/1008 + (827*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (47573*S[2, Infinity]^4)/14000 + 
   ((-87*S[-1, Infinity]^2)/448 - (1857*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-2759*S[-1, Infinity]^3)/384 + 
     (65613*S[-1, Infinity]*S[2, Infinity])/896 + (975*S[3, Infinity])/32)*
    S[5, Infinity] + (180591*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/60 - S[-1, 1, 1, 1, Infinity]/
      10) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-293*S[-1, Infinity]^5)/960 + 
     (131*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (29249*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     20*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((19*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     8*(-5*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(-97*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(108*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (28160*S[-7, -1, Infinity] + 5413*S[5, 3, Infinity] + 
     4480*S[-5, -1, -1, -1, Infinity] + 1920*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2 - 10240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/160, S[-1, -1, 1, 3, 1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/2016 + (39*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (8571*S[2, Infinity]^4)/12250 + ((-261*S[-1, Infinity]^2)/448 - 
     (1277*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-295*S[-1, Infinity]^3)/192 + (33*S[-1, Infinity]*S[2, Infinity])/224 + 
     (38259*S[3, Infinity])/7168)*S[5, Infinity] + 
   (86335*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-125*S[-1, Infinity]^4)/672 + 
     (27*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((277*S[-1, Infinity]^5)/3360 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (379*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/360 - (27*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (415680*S[-7, -1, Infinity] + 116651*S[5, 3, Infinity] + 
     65280*S[-5, -1, -1, -1, Infinity] + 42240*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, 3, 1, -1, Infinity] -> 
  (-145*S[-1, Infinity]^8)/8064 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1681987*S[2, Infinity]^4)/784000 + 
   ((-523*S[-1, Infinity]^2)/1792 - (1417*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-295*S[-1, Infinity]^3)/192 - 
     (1095*S[-1, Infinity]*S[2, Infinity])/224 + (15299*S[3, Infinity])/3584)*
    S[5, Infinity] + (86335*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-373*S[-1, Infinity]^4)/1680 - 
     (46*S[-1, 1, 1, 1, Infinity])/7) + 
   (19*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (196160*S[-7, -1, Infinity] + 25609*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 51200*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, Infinity]^2)/17920 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((367*S[-1, Infinity]^5)/2240 - 
     (185*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (369*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((133*S[-1, Infinity]^6)/720 - (101*S[-5, -1, Infinity])/
      14 - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, -1, 1, 3, -1, 1, Infinity] -> (31*S[-1, Infinity]^8)/6720 - 
   (108*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (178317*S[2, Infinity]^4)/
    56000 + ((-457*S[-1, Infinity]^2)/1792 + (3743*S[2, Infinity])/256)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/12 - 
     (7165*S[-1, Infinity]*S[2, Infinity])/224 - (15839*S[3, Infinity])/512)*
    S[5, Infinity] - (11955*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (171*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/120 + 
     (47*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((233*S[-1, Infinity]^5)/960 - (179*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (461*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-119*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (145*S[-5, -1, Infinity] + 32*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-257920*S[-7, -1, Infinity] - 43173*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] - 37120*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 30720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -1, 1, 3, -1, -1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/40320 - (137*S[-1, Infinity]^2*S[2, Infinity]^3)/
    32 - (1605707*S[2, Infinity]^4)/784000 + 
   ((-695*S[-1, Infinity]^2)/896 + (5737*S[2, Infinity])/896)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/12 - 
     (5461*S[-1, Infinity]*S[2, Infinity])/224 - (136953*S[3, Infinity])/
      7168)*S[5, Infinity] - (11955*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (271*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((823*S[-1, Infinity]^4)/2240 + 
     (513*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((199*S[-1, Infinity]^5)/1120 - 
     (239*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (9249*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (239*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-133*S[-1, Infinity]^6)/1440 + (1187*S[-5, -1, Infinity])/
      56 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1820480*S[-7, -1, Infinity] - 265337*S[5, 3, Infinity] - 
     267520*S[-5, -1, -1, -1, Infinity] - 243200*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 645120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, 2, 2, 1, Infinity] -> 
  (-55*S[-1, Infinity]^8)/8064 - (727*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1943201*S[2, Infinity]^4)/392000 + 
   ((-3027*S[-1, Infinity]^2)/896 + (6829*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2453*S[-1, Infinity]^3)/384 - 
     (10345*S[-1, Infinity]*S[2, Infinity])/896 - (23719*S[3, Infinity])/
      1792)*S[5, Infinity] - (2131*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((-759*S[-1, Infinity]^4)/2240 + 
     (107*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((1733*S[-1, Infinity]^5)/6720 - 
     (1523*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (20927*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (151*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-125*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((143*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (907*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-34430*S[-7, -1, Infinity] - 7317*S[5, 3, Infinity] - 
     3760*S[-5, -1, -1, -1, Infinity] - 2960*S[-5, -1, 1, 1, Infinity] - 
     2520*S[-1, 1, 1, 1, Infinity]^2 + 22400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[-1, -1, 1, 2, 2, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/672 - (99*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1894939*S[2, Infinity]^4)/156800 + 
   ((-237*S[-1, Infinity]^2)/56 + (2953*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((2453*S[-1, Infinity]^3)/384 + 
     (1373*S[-1, Infinity]*S[2, Infinity])/224 - (11295*S[3, Infinity])/448)*
    S[5, Infinity] - (2131*S[-1, Infinity]*S[7, Infinity])/112 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((2783*S[-1, Infinity]^4)/3360 + 
     (759*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1321*S[-1, Infinity]^5)/6720 - 
     (S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (17411*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (222*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-103*S[-1, Infinity]^6)/720 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-281*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(205*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*(36384*S[-7, -1, Infinity] + 3695*S[5, 3, Infinity] + 
      192*S[-5, -1, -1, -1, Infinity] + 7200*S[-5, -1, 1, 1, Infinity] - 
      17920*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/896, 
 S[-1, -1, 1, 2, 1, 2, Infinity] -> -S[-1, Infinity]^8/128 - 
   (277*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (146509*S[2, Infinity]^4)/156800 + 
   ((1773*S[-1, Infinity]^2)/1792 + (2199*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-493*S[-1, Infinity]^3)/128 - 
     (16063*S[-1, Infinity]*S[2, Infinity])/896 + (1047*S[3, Infinity])/1792)*
    S[5, Infinity] + (144595*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] - 99*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-779*S[-1, Infinity]^4)/6720 - 
     (551*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (10336*S[-7, -1, Infinity] - 3211*S[5, 3, Infinity] - 
     2176*S[-5, -1, -1, -1, Infinity] + 7552*S[-5, -1, 1, 1, Infinity] - 
     8064*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((457*S[-1, Infinity]^5)/3360 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1899*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (37*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((97*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-661*S[-5, -1, Infinity] + 560*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, 1, 2, 1, -2, Infinity] -> 
  (-19*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (507721*S[2, Infinity]^4)/
    784000 + ((99*S[-1, Infinity]^2)/1792 - (2979*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-493*S[-1, Infinity]^3)/128 + 
     (9857*S[-1, Infinity]*S[2, Infinity])/896 + (41781*S[3, Infinity])/3584)*
    S[5, Infinity] + (144595*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(34*S[-5, 1, 1, Infinity] - 99*S[5, -1, -1, Infinity]))/
    28 + (539200*S[-7, -1, Infinity] + 139337*S[5, 3, Infinity] + 
     97280*S[-5, -1, -1, -1, Infinity] + 23680*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((149*S[-1, Infinity]^4)/3360 - 
     (289*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((89*S[-1, Infinity]^5)/1680 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1773*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (121*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-127*S[-5, -1, Infinity] - 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, 1, 2, -1, 2, Infinity] -> (-19*S[-1, Infinity]^8)/630 + 
   (4581*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (164414*S[2, Infinity]^4)/6125 + ((3179*S[-1, Infinity]^2)/224 - 
     (78567*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-9125*S[-1, Infinity]^3)/192 + (121591*S[-1, Infinity]*S[2, Infinity])/
      896 + (185501*S[3, Infinity])/1792)*S[5, Infinity] + 
   (838629*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/3360 - 
     (170*S[-1, 1, 1, 1, Infinity])/7) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/140 + 
     (5837*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (41887*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (888*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/180 - 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-4027*S[-5, -1, Infinity] - 476*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(-727*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(613*S[-5, 1, 1, Infinity] - 780*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (809520*S[-7, -1, Infinity] + 127469*S[5, 3, Infinity] + 
     81280*S[-5, -1, -1, -1, Infinity] + 85600*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 313600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, -1, 1, 2, -1, -2, Infinity] -> 
  (83*S[-1, Infinity]^8)/13440 + (7103*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (1776499*S[2, Infinity]^4)/156800 + 
   ((25351*S[-1, Infinity]^2)/1792 - (139261*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-9125*S[-1, Infinity]^3)/192 + 
     (31039*S[-1, Infinity]*S[2, Infinity])/224 + (666107*S[3, Infinity])/
      7168)*S[5, Infinity] + (838629*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((2071*S[-1, Infinity]^4)/6720 - 
     (3121*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-1031*S[-1, Infinity]^5)/1120 + 
     (391*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (324537*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (2953*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-2917*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5179*S[-5, -1, Infinity] + 420*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(613*S[-5, 1, 1, Infinity] - 780*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (4528448*S[-7, -1, Infinity] + 719737*S[5, 3, Infinity] + 
     522496*S[-5, -1, -1, -1, Infinity] + 412928*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 1720320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -1, 1, 2, -2, 1, Infinity] -> 
  (83*S[-1, Infinity]^8)/5760 - (139*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (298257*S[2, Infinity]^4)/156800 + 
   ((2147*S[-1, Infinity]^2)/896 + (10195*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((839*S[-1, Infinity]^3)/192 - 
     (7611*S[-1, Infinity]*S[2, Infinity])/448 + (48803*S[3, Infinity])/3584)*
    S[5, Infinity] - (54195*S[-1, Infinity]*S[7, Infinity])/896 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((1409*S[-1, Infinity]^4)/6720 + 
     (901*S[-1, 1, 1, 1, Infinity])/280) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/336 + 
     (599*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (2883*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (177*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(229*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-217*S[-1, Infinity]^6)/1440 + 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (271*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 166*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-33440*S[-7, -1, Infinity] - 5247*S[5, 3, Infinity] - 
     5056*S[-5, -1, -1, -1, Infinity] - 880*S[-5, -1, 1, 1, Infinity] + 
     3360*S[-1, 1, 1, 1, Infinity]^2 + 25088*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/448, S[-1, -1, 1, 2, -2, -1, Infinity] -> 
  (3*S[-1, Infinity]^8)/560 + (65*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (1219847*S[2, Infinity]^4)/392000 + 
   ((5473*S[-1, Infinity]^2)/1792 + (18145*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((839*S[-1, Infinity]^3)/192 - 
     (27315*S[-1, Infinity]*S[2, Infinity])/896 + (242181*S[3, Infinity])/
      7168)*S[5, Infinity] - (54195*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-943*S[-1, Infinity]^4)/1120 + 
     (267*S[-1, 1, 1, 1, Infinity])/140) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-67*S[-1, Infinity]^5)/336 - 
     (473*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (9491*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (607*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(249*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) - 
   (3*S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 166*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*(-339520*S[-7, -1, Infinity] - 126423*S[5, 3, Infinity] - 
      190720*S[-5, -1, -1, -1, Infinity] + 163840*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 + 430080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, 1, 3, 1, Infinity] -> 
  (73*S[-1, Infinity]^8)/40320 - (1229*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (20941*S[2, Infinity]^4)/588000 + 
   ((17*S[-1, Infinity]^2)/56 + (117*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((371*S[-1, Infinity]^3)/384 - (7121*S[-1, Infinity]*S[2, Infinity])/896 - 
     (8387*S[3, Infinity])/1792)*S[5, Infinity] - 
   (54069*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((599*S[-1, Infinity]^4)/6720 + 
     (451*S[-1, 1, 1, 1, Infinity])/280) + 
   (-324000*S[-7, -1, Infinity] - 38163*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 39680*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/2240 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3111*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (727*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(111*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, -1, 1, 1, 3, -1, Infinity] -> (29*S[-1, Infinity]^8)/10080 - 
   (677*S[-1, Infinity]^2*S[2, Infinity]^3)/480 - 
   (4623761*S[2, Infinity]^4)/2352000 + 
   ((221*S[-1, Infinity]^2)/224 + (1871*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((371*S[-1, Infinity]^3)/384 - 
     (20219*S[-1, Infinity]*S[2, Infinity])/896 - (61619*S[3, Infinity])/
      3584)*S[5, Infinity] - (54069*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/1120 + 
     (641*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/1344 - 
     (659*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1613*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (163*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (389*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(247*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-906560*S[-7, -1, Infinity] - 185551*S[5, 3, Infinity] - 
     151040*S[-5, -1, -1, -1, Infinity] - 68480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, 1, 2, 2, Infinity] -> 
  (43*S[-1, Infinity]^8)/13440 + (229*S[-1, Infinity]^2*S[2, Infinity]^3)/
    168 - (113747*S[2, Infinity]^4)/42000 + 
   ((-53*S[-1, Infinity]^2)/112 - (365*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-137*S[-1, Infinity]^3)/48 + (3359*S[-1, Infinity]*S[2, Infinity])/112 + 
     (2393*S[3, Infinity])/256)*S[5, Infinity] + 
   (1131*S[-1, Infinity]*S[7, Infinity])/56 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/320 + 
     (7*S[-1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/80 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (11909*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-55*S[-5, -1, Infinity] - 64*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-403*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (85600*S[-7, -1, Infinity] + 20027*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2 - 51200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, -1, 1, 1, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/360 - (767*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (17356363*S[2, Infinity]^4)/2352000 + 
   ((13*S[-1, Infinity]^2)/16 - (1695*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-137*S[-1, Infinity]^3)/48 - (55*S[-1, Infinity]*S[2, Infinity])/16 + 
     (4203*S[3, Infinity])/3584)*S[5, Infinity] + 
   (1131*S[-1, Infinity]*S[7, Infinity])/56 + 
   S[2, Infinity]^2*((263*S[-1, Infinity]^4)/3360 - 
     (2521*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/560 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (207*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-21*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2053*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (1479360*S[-7, -1, Infinity] + 120327*S[5, 3, Infinity] + 
     33280*S[-5, -1, -1, -1, Infinity] + 240000*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, 1, 1, 3, Infinity] -> 
  -S[-1, Infinity]^8/2240 - (95*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1167757*S[2, Infinity]^4)/784000 + 
   ((-475*S[-1, Infinity]^2)/1792 + (7285*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((593*S[-1, Infinity]^3)/384 - 
     (7013*S[-1, Infinity]*S[2, Infinity])/896 - (21459*S[3, Infinity])/7168)*
    S[5, Infinity] - (31803*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/3360 + 
     (61*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((67*S[-1, Infinity]^5)/1344 - (335*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (13861*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (279*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (4*(-12*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(137*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1042880*S[-7, -1, Infinity] - 185783*S[5, 3, Infinity] - 
     119040*S[-5, -1, -1, -1, Infinity] - 78080*S[-5, -1, 1, 1, Infinity] + 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^8/2016 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + (1776199*S[2, Infinity]^4)/
    784000 + ((-683*S[-1, Infinity]^2)/896 + (269*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((593*S[-1, Infinity]^3)/384 + 
     (3835*S[-1, Infinity]*S[2, Infinity])/896 - (905*S[3, Infinity])/896)*
    S[5, Infinity] - (31803*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-263*S[-1, Infinity]^4)/2240 + 
     (433*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/3360 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (467*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (75*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (507*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(19*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-19900*S[-7, -1, Infinity] - 1543*S[5, 3, Infinity] + 
     240*S[-5, -1, -1, -1, Infinity] - 3880*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -1, 1, 1, -1, 3, Infinity] -> (13*S[-1, Infinity]^8)/2016 - 
   (181*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (234489*S[2, Infinity]^4)/196000 + 
   ((-1579*S[-1, Infinity]^2)/896 + (3079*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((363*S[-1, Infinity]^3)/128 + 
     (3849*S[-1, Infinity]*S[2, Infinity])/896 - (6659*S[3, Infinity])/7168)*
    S[5, Infinity] - (103555*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/3360 + 
     (113*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/1120 - (185*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (1117*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (4*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-49*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (703*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-50*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-966080*S[-7, -1, Infinity] - 179359*S[5, 3, Infinity] - 
     19200*S[-5, -1, -1, -1, Infinity] - 168960*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, 1, -1, -3, Infinity] -> 
  (17*S[-1, Infinity]^8)/40320 - (59*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (92479*S[2, Infinity]^4)/392000 + ((-2267*S[-1, Infinity]^2)/1792 + 
     (9931*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((363*S[-1, Infinity]^3)/128 - (12207*S[-1, Infinity]*S[2, Infinity])/
      896 - (8185*S[3, Infinity])/3584)*S[5, Infinity] - 
   (103555*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((641*S[-1, Infinity]^4)/6720 - 
     (67*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((269*S[-1, Infinity]^5)/3360 - 
     (4*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (5637*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (55*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (103*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-50*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-686080*S[-7, -1, Infinity] - 61969*S[5, 3, Infinity] - 
     72960*S[-5, -1, -1, -1, Infinity] - 61440*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, 1, -2, 2, Infinity] -> 
  S[-1, Infinity]^8/360 + (11*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (509269*S[2, Infinity]^4)/67200 + ((-459*S[-1, Infinity]^2)/224 + 
     (3187*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((1529*S[-1, Infinity]^3)/192 - (4545*S[-1, Infinity]*S[2, Infinity])/
      448 - (21573*S[3, Infinity])/1024)*S[5, Infinity] - 
   (313141*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/40 + 
     (389*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    (S[-1, Infinity]^5/16 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (30117*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (53*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(383*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (323*S[-5, -1, Infinity] + 60*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-83*S[-5, 1, 1, Infinity] + 141*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-119616*S[-7, -1, Infinity] - 17381*S[5, 3, Infinity] - 
     8960*S[-5, -1, -1, -1, Infinity] - 15616*S[-5, -1, 1, 1, Infinity] + 
     2048*S[-1, 1, 1, 1, Infinity]^2 + 45056*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-1, -1, 1, 1, -2, -2, Infinity] -> 
  (9*S[-1, Infinity]^8)/4480 - (1595*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 + (1023581*S[2, Infinity]^4)/588000 + 
   ((-153*S[-1, Infinity]^2)/112 + (12931*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1529*S[-1, Infinity]^3)/192 - 
     (1455*S[-1, Infinity]*S[2, Infinity])/56 - (129443*S[3, Infinity])/7168)*
    S[5, Infinity] - (313141*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/1344 + 
     (403*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/35 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (55701*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (107*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (515*S[-5, -1, Infinity] - 126*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(519*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-83*S[-5, 1, 1, Infinity] + 141*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-4273600*S[-7, -1, Infinity] - 700267*S[5, 3, Infinity] - 
     487680*S[-5, -1, -1, -1, Infinity] - 390400*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, 1, -3, 1, Infinity] -> 
  (-353*S[-1, Infinity]^8)/40320 - (1367*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 - (893911*S[2, Infinity]^4)/294000 + 
   ((-1195*S[-1, Infinity]^2)/896 - (1335*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-13*S[-1, Infinity]^3)/32 - 
     (1077*S[-1, Infinity]*S[2, Infinity])/224 - (13179*S[3, Infinity])/1792)*
    S[5, Infinity] + (30895*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-631*S[-1, Infinity]^4)/6720 - 
     (1567*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/56 - 
     (179*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1011*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (85*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((137*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-397*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(79*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (91600*S[-7, -1, Infinity] + 3653*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] + 15040*S[-5, -1, 1, 1, Infinity] - 
     20160*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -1, 1, 1, -3, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/1344 + (2209*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (630607*S[2, Infinity]^4)/235200 + 
   ((-325*S[-1, Infinity]^2)/128 - (6003*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-13*S[-1, Infinity]^3)/32 + 
     (1341*S[-1, Infinity]*S[2, Infinity])/64 - (1437*S[3, Infinity])/896)*
    S[5, Infinity] + (30895*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/210 - 
     (39*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/280 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (627*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (89*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (143*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (48128*S[-7, -1, Infinity] + 13809*S[5, 3, Infinity] + 
     15616*S[-5, -1, -1, -1, Infinity] - 4864*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2 + 3584*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, -1, 1, -1, 3, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/6720 + (1621*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (10248827*S[2, Infinity]^4)/2352000 + 
   ((2911*S[-1, Infinity]^2)/896 - (83*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/8 - 
     (401*S[-1, Infinity]*S[2, Infinity])/112 + (17105*S[3, Infinity])/1792)*
    S[5, Infinity] - (151*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/105 - 
     (9*S[-1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-997*S[-1, Infinity]^5)/6720 + 
     (689*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6987*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (619*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(-177*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (506560*S[-7, -1, Infinity] + 54403*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 138240*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, -1, 3, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/672 + (6757*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (3803621*S[2, Infinity]^4)/2352000 + 
   ((793*S[-1, Infinity]^2)/448 - (2255*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-11*S[-1, Infinity]^3)/8 + 
     (11117*S[-1, Infinity]*S[2, Infinity])/896 + (11203*S[3, Infinity])/448)*
    S[5, Infinity] - (151*S[-1, Infinity]*S[7, Infinity])/256 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-1543*S[-1, Infinity]^4)/3360 + 
     (143*S[-1, 1, 1, 1, Infinity])/140) + 
   (563200*S[-7, -1, Infinity] + 107909*S[5, 3, Infinity] + 
     42240*S[-5, -1, -1, -1, Infinity] + 92160*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1283*S[-1, Infinity]^5)/6720 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (15879*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1003*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-737*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-185*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 1, -1, 2, 2, Infinity] -> (19*S[-1, Infinity]^8)/1440 - 
   (3637*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (15921803*S[2, Infinity]^4)/2352000 + 
   ((-487*S[-1, Infinity]^2)/112 + (7741*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((365*S[-1, Infinity]^3)/64 - 
     (8331*S[-1, Infinity]*S[2, Infinity])/896 - (64521*S[3, Infinity])/3584)*
    S[5, Infinity] - (29037*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (97*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-199*S[-1, Infinity]^4)/6720 + 
     (192*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((81*S[-1, Infinity]^5)/560 - (359*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (10813*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (104*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (551*S[-5, -1, Infinity] + 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-44*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1720960*S[-7, -1, Infinity] - 215297*S[5, 3, Infinity] - 
     90880*S[-5, -1, -1, -1, Infinity] - 276480*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, -1, 2, -2, Infinity] -> 
  (29*S[-1, Infinity]^8)/10080 - (5881*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (12931679*S[2, Infinity]^4)/2352000 + 
   ((-239*S[-1, Infinity]^2)/112 + (4127*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((365*S[-1, Infinity]^3)/64 - 
     (120*S[-1, Infinity]*S[2, Infinity])/7 - (7397*S[3, Infinity])/448)*
    S[5, Infinity] - (29037*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (131*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/6720 + 
     (193*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((883*S[-1, Infinity]^5)/6720 - (299*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (20943*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (939*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1117*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-44*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1764480*S[-7, -1, Infinity] - 337661*S[5, 3, Infinity] - 
     177920*S[-5, -1, -1, -1, Infinity] - 198400*S[-5, -1, 1, 1, Infinity] + 
     645120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, 1, -1, 1, 3, Infinity] -> (-13*S[-1, Infinity]^8)/2016 - 
   (827*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (111603*S[2, Infinity]^4)/78400 + ((-2187*S[-1, Infinity]^2)/896 + 
     (21297*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((1107*S[-1, Infinity]^3)/128 - (6975*S[-1, Infinity]*S[2, Infinity])/
      448 - (143669*S[3, Infinity])/7168)*S[5, Infinity] - 
   (45359*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-317*S[-1, Infinity]^4)/2240 - 
     (23*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((433*S[-1, Infinity]^5)/3360 - 
     (775*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (40167*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (110*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((73*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (13*(-51*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(319*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-14*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-459712*S[-7, -1, Infinity] - 88673*S[5, 3, Infinity] - 
     70912*S[-5, -1, -1, -1, Infinity] - 31232*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, Infinity]^2 + 157696*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -1, 1, -1, 1, -3, Infinity] -> 
  -S[-1, Infinity]^8/840 - (377*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (16573*S[2, Infinity]^4)/784000 + ((-4365*S[-1, Infinity]^2)/1792 + 
     (16837*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((1107*S[-1, Infinity]^3)/128 - (8229*S[-1, Infinity]*S[2, Infinity])/
      896 - (42061*S[3, Infinity])/3584)*S[5, Infinity] - 
   (45359*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/3360 - 
     (47*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((25*S[-1, Infinity]^5)/224 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (10387*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (191*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (148*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^2*(-10*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-14*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-161760*S[-7, -1, Infinity] - 26567*S[5, 3, Infinity] - 
     22240*S[-5, -1, -1, -1, Infinity] - 14720*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[-1, -1, 1, -1, -1, 3, Infinity] -> (127*S[-1, Infinity]^8)/40320 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (1955073*S[2, Infinity]^4)/
    784000 + ((-339*S[-1, Infinity]^2)/256 + (11155*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((797*S[-1, Infinity]^3)/128 - 
     (273*S[-1, Infinity]*S[2, Infinity])/128 - (83621*S[3, Infinity])/7168)*
    S[5, Infinity] - (42555*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/2240 + 
     (87*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((233*S[-1, Infinity]^5)/6720 - (171*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (3651*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (485*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(187*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   S[-1, Infinity]^2*(5*S[-5, -1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(-634560*S[-7, -1, Infinity] - 148699*S[5, 3, Infinity] - 
      90880*S[-5, -1, -1, -1, Infinity] - 61440*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 + 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-1, -1, 1, -1, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/2016 - (139*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (386483*S[2, Infinity]^4)/196000 + 
   ((-1191*S[-1, Infinity]^2)/896 + (7783*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((797*S[-1, Infinity]^3)/128 - 
     (12189*S[-1, Infinity]*S[2, Infinity])/896 - (23199*S[3, Infinity])/
      1792)*S[5, Infinity] - (42555*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/3360 + 
     (269*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((101*S[-1, Infinity]^5)/3360 - 
     (157*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (829*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (227*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-93*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (227*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 55*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-403520*S[-7, -1, Infinity] - 67367*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, 1, -1, -2, 2, Infinity] -> (-29*S[-1, Infinity]^8)/10080 + 
   (1877*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (224333*S[2, Infinity]^4)/73500 + 
   ((115*S[-1, Infinity]^2)/224 - (5183*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-641*S[-1, Infinity]^3)/192 + 
     (3755*S[-1, Infinity]*S[2, Infinity])/112 + (44335*S[3, Infinity])/7168)*
    S[5, Infinity] + (10925*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (457*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((143*S[-1, Infinity]^4)/840 - 
     (136*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-517*S[-1, Infinity]^5)/6720 + 
     (261*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (35613*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (573*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-517*S[-5, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(10*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (2494400*S[-7, -1, Infinity] + 446323*S[5, 3, Infinity] + 
     352000*S[-5, -1, -1, -1, Infinity] + 104960*S[-5, -1, 1, 1, Infinity] - 
     1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 1, -1, -2, -2, Infinity] -> (-19*S[-1, Infinity]^8)/1440 + 
   (31*S[-1, Infinity]^2*S[2, Infinity]^3)/240 - (7971473*S[2, Infinity]^4)/
    1176000 + ((373*S[-1, Infinity]^2)/112 - (3319*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-641*S[-1, Infinity]^3)/192 - 
     (1909*S[-1, Infinity]*S[2, Infinity])/448 + (38657*S[3, Infinity])/7168)*
    S[5, Infinity] + (10925*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (201*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-45*S[-1, Infinity]^4)/448 - 
     (153*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/140 + 
     (201*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (20821*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (121*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/480 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-2311*S[-5, -1, Infinity] + 
       252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(10*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3056320*S[-7, -1, Infinity] + 386593*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] + 549120*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, 1, -1, -3, 1, Infinity] -> 
  (19*S[-1, Infinity]^8)/20160 + (193*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (1063147*S[2, Infinity]^4)/336000 + 
   ((1303*S[-1, Infinity]^2)/896 - (223*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-1489*S[-1, Infinity]^3)/384 - 
     (509*S[-1, Infinity]*S[2, Infinity])/896 - (533*S[3, Infinity])/128)*
    S[5, Infinity] + (256219*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-49*S[-1, Infinity]^4)/480 + 
     (49*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((-17*S[-1, Infinity]^5)/480 - (S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (2617*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (73*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (3*S[-1, Infinity]^2*(19*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 123*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-40*S[-7, -1, Infinity] - 981*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 800*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/320, 
 S[-1, -1, 1, -1, -3, -1, Infinity] -> -S[-1, Infinity]^8/1680 - 
   (509*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (2173127*S[2, Infinity]^4)/1176000 + 
   ((197*S[-1, Infinity]^2)/224 - (129*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-1489*S[-1, Infinity]^3)/384 - 
     (2425*S[-1, Infinity]*S[2, Infinity])/448 - (36335*S[3, Infinity])/1792)*
    S[5, Infinity] + (256219*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((3793*S[-1, Infinity]^4)/6720 + 
     (19*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((89*S[-1, Infinity]^5)/1120 + (229*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (1089*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (337*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-67*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(159*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(95*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(52*S[-5, 1, 1, Infinity] - 123*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-50640*S[-7, -1, Infinity] - 6679*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] - 24160*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 - 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -1, 1, -2, 2, 1, Infinity] -> 
  (-53*S[-1, Infinity]^8)/5760 + (877*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (245351*S[2, Infinity]^4)/112000 + 
   ((2071*S[-1, Infinity]^2)/896 - (59*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-191*S[-1, Infinity]^3)/16 + (5939*S[-1, Infinity]*S[2, Infinity])/224 - 
     (963*S[3, Infinity])/512)*S[5, Infinity] + 
   (221257*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/960 - 
     (193*S[-1, 1, 1, 1, Infinity])/40) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/960 + 
     (97*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (24907*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((127*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-257*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-305*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(72*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (80960*S[-7, -1, Infinity] + 11523*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 5920*S[-5, -1, 1, 1, Infinity] - 
     2880*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/640, S[-1, -1, 1, -2, 2, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/840 + (171*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (9713*S[2, Infinity]^4)/12250 + ((1117*S[-1, Infinity]^2)/896 - 
     (20621*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-191*S[-1, Infinity]^3)/16 + (53705*S[-1, Infinity]*S[2, Infinity])/
      896 + (74741*S[3, Infinity])/3584)*S[5, Infinity] + 
   (221257*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/1120 + 
     (69*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1147*S[-1, Infinity]^5)/6720 + 
     (101*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (40211*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (853*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-67*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) - 
   (3*S[-1, Infinity]^2*(137*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(72*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*(355520*S[-7, -1, Infinity] + 79781*S[5, 3, Infinity] + 
      70400*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 - 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[-1, -1, 1, -2, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/384 - (599*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3189*S[2, Infinity]^4)/31360 + ((-33*S[-1, Infinity]^2)/112 + 
     (473*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((133*S[-1, Infinity]^3)/384 + (79*S[-1, Infinity]*S[2, Infinity])/56 - 
     (14915*S[3, Infinity])/7168)*S[5, Infinity] - 
   (2553*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((19*S[-1, Infinity]^4)/840 + 
     (29*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-51392*S[-7, -1, Infinity] - 7195*S[5, 3, Infinity] - 
     3328*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[3, Infinity]*((137*S[-1, Infinity]^5)/6720 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (2293*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/80 + (305*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -1, 1, -2, 1, -2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (1091*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (313863*S[2, Infinity]^4)/392000 + 
   ((21*S[-1, Infinity]^2)/256 + (5113*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((133*S[-1, Infinity]^3)/384 - 
     (1721*S[-1, Infinity]*S[2, Infinity])/128 - (7121*S[3, Infinity])/1792)*
    S[5, Infinity] - (2553*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/1680 - 
     (22*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-270080*S[-7, -1, Infinity] - 51313*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((181*S[-1, Infinity]^5)/3360 - 
     (313*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (139*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (257*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 + (47*S[-5, -1, Infinity])/56 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 1, -2, -1, 2, Infinity] -> (-293*S[-1, Infinity]^8)/13440 - 
   (14801*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (26393*S[2, Infinity]^4)/2240 + ((-989*S[-1, Infinity]^2)/56 + 
     (4859*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((3117*S[-1, Infinity]^3)/64 - (32545*S[-1, Infinity]*S[2, Infinity])/
      224 - (88671*S[3, Infinity])/1024)*S[5, Infinity] - 
   (1570687*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-503*S[-1, Infinity]^4)/960 + 
     (353*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((247*S[-1, Infinity]^5)/192 - (1073*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (343223*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (955*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (3*S[-1, Infinity]^2*(-1009*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/160 + 182*S[-5, -1, Infinity] - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-684*S[-5, 1, 1, Infinity] + 
      751*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-646336*S[-7, -1, Infinity] - 100535*S[5, 3, Infinity] - 
     75008*S[-5, -1, -1, -1, Infinity] - 58624*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 245760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-1, -1, 1, -2, -1, -2, Infinity] -> 
  (19*S[-1, Infinity]^8)/630 - (5339*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (21545991*S[2, Infinity]^4)/784000 + 
   ((-2005*S[-1, Infinity]^2)/112 + (79271*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((3117*S[-1, Infinity]^3)/64 - 
     (60707*S[-1, Infinity]*S[2, Infinity])/448 - (844629*S[3, Infinity])/
      7168)*S[5, Infinity] - (1570687*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/840 + 
     (2967*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1721*S[-1, Infinity]^5)/1680 - 
     (2325*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (352171*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (1721*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (3*S[-1, Infinity]^2*(-993*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/180 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (12407*S[-5, -1, Infinity] + 1092*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-684*S[-5, 1, 1, Infinity] + 
      751*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-25906240*S[-7, -1, Infinity] - 4141989*S[5, 3, Infinity] - 
     2563840*S[-5, -1, -1, -1, Infinity] - 
     2830080*S[-5, -1, 1, 1, Infinity] + 430080*S[-1, 1, 1, 1, Infinity]^2 + 
     10035200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, 1, -2, -2, 1, Infinity] -> (-71*S[-1, Infinity]^8)/8064 + 
   (517*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (797149*S[2, Infinity]^4)/156800 + 
   ((4719*S[-1, Infinity]^2)/1792 - (16559*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-547*S[-1, Infinity]^3)/64 + 
     (1075*S[-1, Infinity]*S[2, Infinity])/448 + (83243*S[3, Infinity])/7168)*
    S[5, Infinity] + (24313*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((-317*S[-1, Infinity]^4)/2240 - 
     (659*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/6720 + 
     (169*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (22343*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (137*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((127*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-305*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-241*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (510656*S[-7, -1, Infinity] + 89883*S[5, 3, Infinity] + 
     43776*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] - 
     32256*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -1, 1, -2, -2, -1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/672 - (124*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (4171751*S[2, Infinity]^4)/392000 + 
   ((381*S[-1, Infinity]^2)/112 - (607*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-547*S[-1, Infinity]^3)/64 - 
     (22135*S[-1, Infinity]*S[2, Infinity])/896 + (10945*S[3, Infinity])/
      3584)*S[5, Infinity] + (24313*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/420 - 
     (426*S[-1, 1, 1, 1, Infinity])/35) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((779*S[-1, Infinity]^5)/6720 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (127*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (43*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (363*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/360 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (6*(-44*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-11*S[-5, -1, Infinity] - 
      42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity] - 
      48*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (3*(-541760*S[-7, -1, Infinity] - 54293*S[5, 3, Infinity] - 
      3840*S[-5, -1, -1, -1, Infinity] - 94720*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-1, -1, 1, -3, 1, 1, Infinity] -> 
  (61*S[-1, Infinity]^8)/13440 + (383*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (173029*S[2, Infinity]^4)/392000 + 
   ((141*S[-1, Infinity]^2)/64 - (211*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-1303*S[-1, Infinity]^3)/384 - (345*S[-1, Infinity]*S[2, Infinity])/
      128 + (40365*S[3, Infinity])/3584)*S[5, Infinity] - 
   (1151*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1303*S[-1, Infinity]^4)/6720 + 
     (27*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-311*S[-1, Infinity]^5)/2240 + 
     (695*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (877*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (239*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((-103*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-541*S[-5, -1, Infinity] + 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (51760*S[-7, -1, Infinity] + 11761*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 11840*S[-5, -1, 1, 1, Infinity] + 
     15680*S[-1, 1, 1, 1, Infinity]^2 + 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -1, 1, -3, 1, -1, Infinity] -> 
  (-43*S[-1, Infinity]^8)/10080 - (193*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (94793*S[2, Infinity]^4)/28000 + 
   ((517*S[-1, Infinity]^2)/224 - (257*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-1303*S[-1, Infinity]^3)/384 - (3375*S[-1, Infinity]*S[2, Infinity])/
      896 + (3973*S[3, Infinity])/256)*S[5, Infinity] - 
   (1151*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/320 - 
     (9*S[-1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/480 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (2549*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (57*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-95*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/288 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-203*S[-5, -1, Infinity] + 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (131840*S[-7, -1, Infinity] + 14359*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 26880*S[-5, -1, 1, 1, Infinity] - 
     51200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-1, -1, 1, -3, -1, 1, Infinity] -> (121*S[-1, Infinity]^8)/40320 + 
   (649*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (731359*S[2, Infinity]^4)/784000 + 
   ((1905*S[-1, Infinity]^2)/896 - (13029*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-199*S[-1, Infinity]^3)/32 + 
     (14575*S[-1, Infinity]*S[2, Infinity])/448 + (96155*S[3, Infinity])/
      3584)*S[5, Infinity] + (202523*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-303*S[-1, Infinity]^4)/2240 - 
     (491*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-617*S[-1, Infinity]^5)/3360 + 
     (437*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (34187*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (333*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-545*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-2263*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(96*S[-5, 1, 1, Infinity] - 107*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2072960*S[-7, -1, Infinity] + 299177*S[5, 3, Infinity] + 
     248320*S[-5, -1, -1, -1, Infinity] + 244480*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, 1, -3, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/3360 + (1245*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (38279*S[2, Infinity]^4)/31360 + 
   ((159*S[-1, Infinity]^2)/112 - (2083*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-199*S[-1, Infinity]^3)/32 + 
     (19759*S[-1, Infinity]*S[2, Infinity])/448 + (128043*S[3, Infinity])/
      3584)*S[5, Infinity] + (202523*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-331*S[-1, Infinity]^4)/1120 - 
     (463*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-489*S[-1, Infinity]^5)/2240 + 
     (545*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (39853*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (165*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-653*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((79*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-519*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(96*S[-5, 1, 1, Infinity] - 107*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (417472*S[-7, -1, Infinity] + 80489*S[5, 3, Infinity] + 
     63488*S[-5, -1, -1, -1, Infinity] + 41344*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 + 7168*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, -1, -1, 3, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/5040 - (243*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1170859*S[2, Infinity]^4)/784000 + 
   ((-1443*S[-1, Infinity]^2)/896 - (2323*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-497*S[-1, Infinity]^3)/384 + 
     (1027*S[-1, Infinity]*S[2, Infinity])/896 + (11363*S[3, Infinity])/3584)*
    S[5, Infinity] + (3055*S[-1, Infinity]*S[7, Infinity])/224 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/224 + 
     (13*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((29*S[-1, Infinity]^5)/840 - (121*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (1221*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (165*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (211*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-67*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-18720*S[-7, -1, Infinity] + 13201*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 20800*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -1, 3, 1, -1, Infinity] -> (-17*S[-1, Infinity]^8)/6720 - 
   (169*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (933959*S[2, Infinity]^4)/784000 + 
   ((-2957*S[-1, Infinity]^2)/1792 - (6469*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-497*S[-1, Infinity]^3)/384 + 
     (10147*S[-1, Infinity]*S[2, Infinity])/896 - (70947*S[3, Infinity])/
      7168)*S[5, Infinity] + (3055*S[-1, Infinity]*S[7, Infinity])/224 - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-437*S[-1, Infinity]^4)/1680 + 
     (13*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/168 - 
     (215*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (22249*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (121*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 - (445*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-67*S[-5, 1, 1, Infinity] - 74*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1614400*S[-7, -1, Infinity] + 210079*S[5, 3, Infinity] + 
     213760*S[-5, -1, -1, -1, Infinity] + 64000*S[-5, -1, 1, 1, Infinity] - 
     788480*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 3, -1, 1, Infinity] -> (43*S[-1, Infinity]^8)/20160 + 
   (2719*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (572339*S[2, Infinity]^4)/392000 + 
   ((5559*S[-1, Infinity]^2)/1792 - (40129*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2527*S[-1, Infinity]^3)/192 + 
     (17427*S[-1, Infinity]*S[2, Infinity])/448 + (286199*S[3, Infinity])/
      7168)*S[5, Infinity] + (70123*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (857*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/1680 - 
     (509*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - (2855*S[-5, -1, Infinity])/
      56 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-123*S[-1, Infinity]^5)/560 + 
     (871*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (86267*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (167*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (5258560*S[-7, -1, Infinity] + 1100907*S[5, 3, Infinity] + 
     800000*S[-5, -1, -1, -1, Infinity] + 570880*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, 3, -1, -1, Infinity] -> -S[-1, Infinity]^8/630 + 
   (1969*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (13829*S[2, Infinity]^4)/98000 + ((15*S[-1, Infinity]^2)/14 - 
     (1551*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-2527*S[-1, Infinity]^3)/192 + (24291*S[-1, Infinity]*S[2, Infinity])/
      448 + (50375*S[3, Infinity])/896)*S[5, Infinity] + 
   (70123*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - (316*S[-5, -1, Infinity])/7) - 
   (125*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (326400*S[-7, -1, Infinity] + 71563*S[5, 3, Infinity] + 
     61440*S[-5, -1, -1, -1, Infinity] + 28160*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/280 - 
     (88*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-22*S[-1, Infinity]^5)/105 + (295*S[-1, Infinity]^3*S[2, Infinity])/
      84 + (24643*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (176*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7, 
 S[-1, -1, -1, 2, 2, 1, Infinity] -> S[-1, Infinity]^8/180 + 
   (3571*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (709987*S[2, Infinity]^4)/196000 + 
   ((5141*S[-1, Infinity]^2)/896 - (15937*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1363*S[-1, Infinity]^3)/96 + 
     (6683*S[-1, Infinity]*S[2, Infinity])/224 + (35569*S[3, Infinity])/1792)*
    S[5, Infinity] + (4323*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*((169*S[-1, Infinity]^4)/1120 - 
     (87*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-521*S[-1, Infinity]^5)/1680 + 
     (155*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (7887*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (381*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-2119*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-345*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (1280800*S[-7, -1, Infinity] + 206603*S[5, 3, Infinity] + 
     149120*S[-5, -1, -1, -1, Infinity] + 108480*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, -1, 2, 2, -1, Infinity] -> 
  (113*S[-1, Infinity]^8)/5040 + (73*S[-1, Infinity]^2*S[2, Infinity]^3)/14 - 
   (271791*S[2, Infinity]^4)/98000 + ((1283*S[-1, Infinity]^2)/224 - 
     (277*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((-1363*S[-1, Infinity]^3)/96 + (9293*S[-1, Infinity]*S[2, Infinity])/
      224 + (49339*S[3, Infinity])/1792)*S[5, Infinity] + 
   (4323*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*((-173*S[-1, Infinity]^4)/840 + 
     (26*S[-1, 1, 1, 1, Infinity])/35) - S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-149*S[-1, Infinity]^5)/420 + 
     (235*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (19771*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (193*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-491*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-173*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (1224000*S[-7, -1, Infinity] + 208583*S[5, 3, Infinity] + 
     149760*S[-5, -1, -1, -1, Infinity] + 110080*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, -1, 2, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/384 - (83*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (77379*S[2, Infinity]^4)/392000 + 
   ((17*S[-1, Infinity]^2)/16 + (2705*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((189*S[-1, Infinity]^3)/128 - (11*S[-1, Infinity]*S[2, Infinity])/32 - 
     (3917*S[3, Infinity])/1792)*S[5, Infinity] - 
   (122057*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    28 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/1120 + 
     (279*S[-1, 1, 1, 1, Infinity])/140) + 
   (-74000*S[-7, -1, Infinity] - 15951*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-181*S[-1, Infinity]^5)/2240 + 
     (403*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (3*(-99*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-1, -1, -1, 2, 1, -2, Infinity] -> S[-1, Infinity]^8/384 - 
   (191*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1206189*S[2, Infinity]^4)/784000 + 
   ((2579*S[-1, Infinity]^2)/1792 + (10459*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((189*S[-1, Infinity]^3)/128 - 
     (13619*S[-1, Infinity]*S[2, Infinity])/896 - (50069*S[3, Infinity])/
      7168)*S[5, Infinity] - (122057*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (117*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/448 + 
     (27*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-875200*S[-7, -1, Infinity] - 194259*S[5, 3, Infinity] - 
     177920*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-253*S[-1, Infinity]^5)/2240 + 
     (89*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (13009*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/480 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 + 
     (3*(13*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-1, -1, -1, 2, -1, 2, Infinity] -> (13*S[-1, Infinity]^8)/3360 - 
   (1867*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1564207*S[2, Infinity]^4)/78400 + 
   ((-2277*S[-1, Infinity]^2)/112 + (39329*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((4171*S[-1, Infinity]^3)/64 - 
     (50605*S[-1, Infinity]*S[2, Infinity])/448 - (204695*S[3, Infinity])/
      1792)*S[5, Infinity] - (142957*S[-1, Infinity]*S[7, Infinity])/448 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/105 + 
     (1287*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/105 - 
     (797*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (85147*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (846*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/90 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1651*S[-5, -1, Infinity] - 
       126*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(397*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (2*S[-1, Infinity]*(103*S[-5, 1, 1, Infinity] - 
      142*S[5, -1, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (-1325248*S[-7, -1, Infinity] - 214743*S[5, 3, Infinity] - 
     144384*S[-5, -1, -1, -1, Infinity] - 135168*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, -1, -1, 2, -1, -2, Infinity] -> 
  (2*S[-1, Infinity]^8)/315 - (437*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (121617*S[2, Infinity]^4)/4900 + ((-963*S[-1, Infinity]^2)/56 + 
     (106451*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((4171*S[-1, Infinity]^3)/64 - (90847*S[-1, Infinity]*S[2, Infinity])/
      448 - (132957*S[3, Infinity])/896)*S[5, Infinity] - 
   (142957*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/336 + 
     (596*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((121*S[-1, Infinity]^5)/105 - (339*S[-1, Infinity]^3*S[2, Infinity])/
      28 - (14227*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1108*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-493*S[-5, -1, Infinity] - 105*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(475*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (2*S[-1, Infinity]*(103*S[-5, 1, 1, Infinity] - 
      142*S[5, -1, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (-376064*S[-7, -1, Infinity] - 63565*S[5, 3, Infinity] - 
     46080*S[-5, -1, -1, -1, Infinity] - 32768*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[-1, -1, -1, 2, -2, 1, Infinity] -> -S[-1, Infinity]^8/126 + 
   (659*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2057833*S[2, Infinity]^4)/392000 + 
   ((659*S[-1, Infinity]^2)/256 - (14463*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1579*S[-1, Infinity]^3)/192 + 
     (123*S[-1, Infinity]*S[2, Infinity])/64 + (3547*S[3, Infinity])/7168)*
    S[5, Infinity] + (171473*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1063*S[-1, Infinity]^4)/3360 - 
     (477*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/1680 - 
     (S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2367*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (85*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/15 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-295*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-33*S[-5, -1, Infinity] - 
      64*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] - 75*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2496960*S[-7, -1, Infinity] + 402159*S[5, 3, Infinity] + 
     213760*S[-5, -1, -1, -1, Infinity] + 288000*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -1, 2, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/56 - (1433*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (52953*S[2, Infinity]^4)/7000 + ((1025*S[-1, Infinity]^2)/448 - 
     (617*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-1579*S[-1, Infinity]^3)/192 - (1527*S[-1, Infinity]*S[2, Infinity])/
      448 + (201*S[3, Infinity])/64)*S[5, Infinity] + 
   (171473*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/120 - 
     (36*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/40 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (6507*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     12*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/90 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     2*(-11*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (4*S[-1, Infinity]^2*(-9*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] - 75*S[5, -1, -1, Infinity] - 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (7040*S[-7, -1, Infinity] + 993*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2 - 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/80, S[-1, -1, -1, 1, 3, 1, Infinity] -> 
  (59*S[-1, Infinity]^8)/13440 + (3383*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (1670281*S[2, Infinity]^4)/1176000 + 
   ((81*S[-1, Infinity]^2)/14 - (9509*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-845*S[-1, Infinity]^3)/96 + (711*S[-1, Infinity]*S[2, Infinity])/56 + 
     (58209*S[3, Infinity])/1792)*S[5, Infinity] + 
   (13479*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((1111*S[-1, Infinity]^4)/6720 + 
     (191*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (620640*S[-7, -1, Infinity] + 122489*S[5, 3, Infinity] + 
     74240*S[-5, -1, -1, -1, Infinity] + 73600*S[-5, -1, 1, 1, Infinity] + 
     31360*S[-1, 1, 1, 1, Infinity]^2)/8960 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2383*S[-1, Infinity]^5)/6720 + 
     (1823*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (29011*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (983*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-113*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1403*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-409*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(141*S[-5, 1, 1, Infinity] - 104*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, -1, -1, 1, 3, -1, Infinity] -> (-5*S[-1, Infinity]^8)/1344 + 
   (9151*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (4842499*S[2, Infinity]^4)/2352000 + 
   ((2291*S[-1, Infinity]^2)/896 - (13589*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-845*S[-1, Infinity]^3)/96 + 
     (15129*S[-1, Infinity]*S[2, Infinity])/448 + (14101*S[3, Infinity])/448)*
    S[5, Infinity] + (13479*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-123*S[-1, Infinity]^4)/560 - 
     (43*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-527*S[-1, Infinity]^5)/6720 + 
     (407*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (6049*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (695*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-551*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1059*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(141*S[-5, 1, 1, Infinity] - 104*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (324480*S[-7, -1, Infinity] + 74621*S[5, 3, Infinity] + 
     59840*S[-5, -1, -1, -1, Infinity] + 25280*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2 + 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -1, -1, 1, 2, 2, Infinity] -> 
  (-23*S[-1, Infinity]^8)/2520 - (527*S[-1, Infinity]^2*S[2, Infinity]^3)/
    105 + (16871051*S[2, Infinity]^4)/2352000 + 
   ((-3217*S[-1, Infinity]^2)/224 + (7061*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((607*S[-1, Infinity]^3)/48 - 
     (13617*S[-1, Infinity]*S[2, Infinity])/448 - (128157*S[3, Infinity])/
      3584)*S[5, Infinity] - (36129*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-181*S[-1, Infinity]^4)/420 - 
     (457*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((94*S[-1, Infinity]^5)/105 - 
     (1555*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (12153*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (27*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (559*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-305*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((113*S[-1, Infinity]^6)/720 - 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1475*S[-5, -1, Infinity] + 294*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-359*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2746560*S[-7, -1, Infinity] - 413559*S[5, 3, Infinity] - 
     202240*S[-5, -1, -1, -1, Infinity] - 357760*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, 1, 2, -2, Infinity] -> 
  (-37*S[-1, Infinity]^8)/5760 - (13921*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (626767*S[2, Infinity]^4)/73500 + 
   ((-8693*S[-1, Infinity]^2)/896 + (15503*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((607*S[-1, Infinity]^3)/48 - 
     (3309*S[-1, Infinity]*S[2, Infinity])/112 - (179757*S[3, Infinity])/
      3584)*S[5, Infinity] - (36129*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-583*S[-1, Infinity]^4)/2240 + 
     (149*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((617*S[-1, Infinity]^5)/1344 - (2819*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (8585*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (2441*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1721*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(841*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-359*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2810240*S[-7, -1, Infinity] - 383841*S[5, 3, Infinity] - 
     154880*S[-5, -1, -1, -1, Infinity] - 414080*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 1003520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, 1, 1, 3, Infinity] -> 
  -S[-1, Infinity]^8/1008 + (S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (196789*S[2, Infinity]^4)/156800 + 
   ((1095*S[-1, Infinity]^2)/448 + (339*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-113*S[-1, Infinity]^3)/64 + 
     (83*S[-1, Infinity]*S[2, Infinity])/56 + (5577*S[3, Infinity])/3584)*
    S[5, Infinity] - (14991*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/336 - 
     (123*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-179*S[-1, Infinity]^5)/3360 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (24*S[-1, Infinity]*S[2, Infinity]^2)/7 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-193*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-99*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (55872*S[-7, -1, Infinity] + 1637*S[5, 3, Infinity] - 
     2048*S[-5, -1, -1, -1, Infinity] + 10112*S[-5, -1, 1, 1, Infinity] - 
     28672*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-1, -1, -1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^8/13440 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (930921*S[2, Infinity]^4)/
    196000 + ((381*S[-1, Infinity]^2)/128 - (453*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-113*S[-1, Infinity]^3)/64 - 
     (635*S[-1, Infinity]*S[2, Infinity])/64 + (44937*S[3, Infinity])/3584)*
    S[5, Infinity] - (14991*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((881*S[-1, Infinity]^4)/6720 - 
     (587*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/140 + 
     (101*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (491*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (209*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-327*S[-5, -1, Infinity] - 280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (5760*S[-7, -1, Infinity] - 7837*S[5, 3, Infinity] - 
     78080*S[-5, -1, -1, -1, Infinity] + 78080*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, 1, -1, 3, Infinity] -> 
  (-89*S[-1, Infinity]^8)/20160 - (747*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (13733*S[2, Infinity]^4)/19600 + 
   ((821*S[-1, Infinity]^2)/896 - (277*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-649*S[-1, Infinity]^3)/192 - 
     (871*S[-1, Infinity]*S[2, Infinity])/112 - (32579*S[3, Infinity])/3584)*
    S[5, Infinity] + (43935*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((2*S[-1, Infinity]^4)/105 - 
     (58*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((437*S[-1, Infinity]^5)/6720 - 
     (57*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1061*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (59*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/144 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-109*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(65*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] - 51*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (8944*S[-7, -1, Infinity] - 43*S[5, 3, Infinity] + 
     192*S[-5, -1, -1, -1, Infinity] + 2048*S[-5, -1, 1, 1, Infinity] - 
     2688*S[-1, 1, 1, 1, Infinity]^2 - 10752*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[-1, -1, -1, 1, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/1344 - (229*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (7739*S[2, Infinity]^4)/11200 + ((43*S[-1, Infinity]^2)/112 - 
     (533*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-649*S[-1, Infinity]^3)/192 + (3901*S[-1, Infinity]*S[2, Infinity])/
      896 + (1595*S[3, Infinity])/512)*S[5, Infinity] + 
   (43935*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/960 - 
     (2*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(S[-1, Infinity]^5/40 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (6089*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(-7*S[-5, -1, Infinity] - 
        8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-41*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] - 51*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (12928*S[-7, -1, Infinity] + 2361*S[5, 3, Infinity] + 
     2048*S[-5, -1, -1, -1, Infinity] + 384*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/512, 
 S[-1, -1, -1, 1, -2, 2, Infinity] -> (-53*S[-1, Infinity]^8)/5760 + 
   (1601*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (12074597*S[2, Infinity]^4)/1176000 + 
   ((7307*S[-1, Infinity]^2)/896 - (7093*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-2873*S[-1, Infinity]^3)/192 + 
     (1053*S[-1, Infinity]*S[2, Infinity])/224 + (81721*S[3, Infinity])/1792)*
    S[5, Infinity] + (123545*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1871*S[-1, Infinity]^4)/6720 - 
     (601*S[-1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-907*S[-1, Infinity]^5)/6720 + 
     (1565*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (11869*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1943*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-347*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/96 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3553*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      98*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (2533120*S[-7, -1, Infinity] + 377441*S[5, 3, Infinity] + 
     129280*S[-5, -1, -1, -1, Infinity] + 421760*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 - 1003520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, 1, -2, -2, Infinity] -> 
  (23*S[-1, Infinity]^8)/2520 + (2899*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 - (17878051*S[2, Infinity]^4)/2352000 + 
   ((1361*S[-1, Infinity]^2)/112 - (36419*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2873*S[-1, Infinity]^3)/192 + 
     (33585*S[-1, Infinity]*S[2, Infinity])/896 + (85177*S[3, Infinity])/
      1792)*S[5, Infinity] + (123545*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((39*S[-1, Infinity]^4)/140 + 
     (193*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1153*S[-1, Infinity]^5)/1680 + 
     (1269*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (64201*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (314*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-169*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1403*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]^2*(-75*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (2*S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      98*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (1491040*S[-7, -1, Infinity] + 236977*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] + 174080*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -1, -1, 1, -3, 1, Infinity] -> 
  (-167*S[-1, Infinity]^8)/40320 - (2431*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (4418597*S[2, Infinity]^4)/1176000 + 
   ((-395*S[-1, Infinity]^2)/128 + (6131*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1115*S[-1, Infinity]^3)/384 - 
     (1621*S[-1, Infinity]*S[2, Infinity])/128 - (44955*S[3, Infinity])/1792)*
    S[5, Infinity] + (25013*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-577*S[-1, Infinity]^4)/6720 + 
     (507*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((373*S[-1, Infinity]^5)/2240 - 
     (331*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (2567*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (201*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(47*S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1245*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-59540*S[-7, -1, Infinity] - 9281*S[5, 3, Infinity] - 
     2880*S[-5, -1, -1, -1, Infinity] - 9440*S[-5, -1, 1, 1, Infinity] - 
     1680*S[-1, 1, 1, 1, Infinity]^2 + 11200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, -1, -1, 1, -3, -1, Infinity] -> 
  (-97*S[-1, Infinity]^8)/20160 - (211*S[-1, Infinity]^2*S[2, Infinity]^3)/
    60 - (3492071*S[2, Infinity]^4)/2352000 + 
   ((-2109*S[-1, Infinity]^2)/448 + (4239*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1115*S[-1, Infinity]^3)/384 - 
     (33685*S[-1, Infinity]*S[2, Infinity])/896 - (27929*S[3, Infinity])/
      1792)*S[5, Infinity] + (25013*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((503*S[-1, Infinity]^4)/1680 - 
     (409*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((859*S[-1, Infinity]^5)/2240 - 
     (865*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (17337*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (51*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (347*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(507*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (141*S[-5, -1, Infinity] + 
       7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] - 12*S[5, -1, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-312320*S[-7, -1, Infinity] - 55059*S[5, 3, Infinity] - 
     40000*S[-5, -1, -1, -1, Infinity] - 28320*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 8960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -1, -1, -1, 3, 1, Infinity] -> 
  S[-1, Infinity]^8/5040 - (599*S[-1, Infinity]^2*S[2, Infinity]^3)/480 + 
   (24419*S[2, Infinity]^4)/294000 + ((-183*S[-1, Infinity]^2)/112 + 
     (1199*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((2293*S[-1, Infinity]^3)/384 - (15689*S[-1, Infinity]*S[2, Infinity])/
      896 - (61603*S[3, Infinity])/3584)*S[5, Infinity] - 
   (116903*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (143*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + (1073*S[-5, -1, Infinity])/56) + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/1120 + 
     (193*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((15*S[-1, Infinity]^5)/224 - 
     (323*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (9621*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (137*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-89*S[-5, 1, 1, Infinity] + 128*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1297920*S[-7, -1, Infinity] - 200463*S[5, 3, Infinity] - 
     158720*S[-5, -1, -1, -1, Infinity] - 123520*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, 3, -1, Infinity] -> S[-1, Infinity]^8/2520 - 
   (8627*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (3078919*S[2, Infinity]^4)/1176000 + 
   ((-131*S[-1, Infinity]^2)/112 + (821*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((2293*S[-1, Infinity]^3)/384 - 
     (30089*S[-1, Infinity]*S[2, Infinity])/896 - (16413*S[3, Infinity])/896)*
    S[5, Infinity] - (116903*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (211*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + (281*S[-5, -1, Infinity])/14) + 
   (-194560*S[-7, -1, Infinity] - 38711*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/2240 + 
     (44*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/105 - (151*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (7053*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-89*S[-5, 1, 1, Infinity] + 128*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, -1, -1, -1, 2, 2, Infinity] -> -S[-1, Infinity]^8/120 + 
   (6857*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (343597*S[2, Infinity]^4)/58800 + ((4427*S[-1, Infinity]^2)/896 - 
     (15703*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-3121*S[-1, Infinity]^3)/192 + (2929*S[-1, Infinity]*S[2, Infinity])/
      448 + (46583*S[3, Infinity])/1792)*S[5, Infinity] + 
   (18631*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((-241*S[-1, Infinity]^4)/3360 - 
     (851*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/336 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (26303*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (305*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-275*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/48 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-2991*S[-5, -1, Infinity] + 
       280*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (268448*S[-7, -1, Infinity] + 42811*S[5, 3, Infinity] + 
     25728*S[-5, -1, -1, -1, Infinity] + 32960*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 107520*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-1, -1, -1, -1, 2, -2, Infinity] -> 
  (11*S[-1, Infinity]^8)/5040 + (661*S[-1, Infinity]^2*S[2, Infinity]^3)/
    420 - (1515733*S[2, Infinity]^4)/235200 + 
   ((139*S[-1, Infinity]^2)/32 - (22719*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3121*S[-1, Infinity]^3)/192 + 
     (2563*S[-1, Infinity]*S[2, Infinity])/64 + (28033*S[3, Infinity])/896)*
    S[5, Infinity] + (18631*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/2240 - 
     (431*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-323*S[-1, Infinity]^5)/1680 + 
     (611*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (3159*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (242*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/1440 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-2223*S[-5, -1, Infinity] - 
       812*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-27*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (2*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (78336*S[-7, -1, Infinity] + 13303*S[5, 3, Infinity] + 
     9728*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] - 
     28672*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[-1, -1, -1, -1, 1, 3, Infinity] -> (37*S[-1, Infinity]^8)/40320 - 
   (179*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (7731*S[2, Infinity]^4)/392000 + ((475*S[-1, Infinity]^2)/448 + 
     (1095*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-29*S[-1, Infinity]^3)/192 - (5357*S[-1, Infinity]*S[2, Infinity])/448 - 
     (18995*S[3, Infinity])/3584)*S[5, Infinity] - 
   (39439*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((411*S[-1, Infinity]^4)/2240 + 
     (181*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-305920*S[-7, -1, Infinity] - 64879*S[5, 3, Infinity] - 
     47360*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-55*S[-1, Infinity]^5)/1344 + 
     (289*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (237*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (121*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(61*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-77*S[-1, Infinity]^6)/1440 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-37*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-1, -1, -1, -1, 1, -3, Infinity] -> -S[-1, Infinity]^8/576 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (339499*S[2, Infinity]^4)/
    784000 + ((331*S[-1, Infinity]^2)/448 - (145*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-29*S[-1, Infinity]^3)/192 + 
     (85*S[-1, Infinity]*S[2, Infinity])/112 + (2405*S[3, Infinity])/448)*
    S[5, Infinity] - (39439*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-137*S[-1, Infinity]^4)/3360 + 
     (351*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/1680 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1853*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (15*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-17600*S[-7, -1, Infinity] - 2843*S[5, 3, Infinity] - 
     1600*S[-5, -1, -1, -1, Infinity] + 480*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[-1, -1, -1, -1, -1, 3, Infinity] -> 
  (-19*S[-1, Infinity]^4*S[2, Infinity]^2)/960 - 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (981*S[2, Infinity]^4)/1600 + (-S[-1, Infinity]^5/160 + 
     (S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/20)*S[3, Infinity] + 
   ((11*S[-1, Infinity]^2)/32 + (7*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]^3)/16 - (7*S[-1, Infinity]*S[2, Infinity])/16 + 
     (103*S[3, Infinity])/64)*S[5, Infinity] - 
   (189*S[-1, Infinity]*S[7, Infinity])/64, 
 S[-1, -1, -1, -1, -1, -3, Infinity] -> S[-1, Infinity]^8/20160 - 
   (113*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (229447*S[2, Infinity]^4)/392000 + 
   ((149*S[-1, Infinity]^2)/224 + (587*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]^3)/16 - 
     (985*S[-1, Infinity]*S[2, Infinity])/112 - (8555*S[3, Infinity])/3584)*
    S[5, Infinity] - (189*S[-1, Infinity]*S[7, Infinity])/64 + 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + (59*S[-5, -1, Infinity])/56) + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/1120 - S[-1, 1, 1, 1, Infinity]/
      140) + S[3, Infinity]*((-23*S[-1, Infinity]^5)/3360 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (509*S[-1, Infinity]*S[2, Infinity]^2)/224 + S[-1, 1, 1, 1, 1, Infinity]/
      14) + (-235520*S[-7, -1, Infinity] - 53507*S[5, 3, Infinity] - 
     40960*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, -2, 2, Infinity] -> (-11*S[-1, Infinity]^8)/5040 - 
   (1301*S[-1, Infinity]^2*S[2, Infinity]^3)/672 + 
   (6624271*S[2, Infinity]^4)/1176000 + 
   ((-115*S[-1, Infinity]^2)/32 + (5769*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((3017*S[-1, Infinity]^3)/192 - 
     (2427*S[-1, Infinity]*S[2, Infinity])/64 - (24617*S[3, Infinity])/896)*
    S[5, Infinity] - (5223*S[-1, Infinity]*S[7, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-247*S[-1, Infinity]^4)/6720 + 
     (431*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((323*S[-1, Infinity]^5)/1680 - (527*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (2837*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (242*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(27*S[-5, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (561*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-391680*S[-7, -1, Infinity] - 68531*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 32000*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[-1, -1, -1, -1, -2, -2, Infinity] -> S[-1, Infinity]^8/120 - 
   (9631*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (4007431*S[2, Infinity]^4)/1176000 + 
   ((-3161*S[-1, Infinity]^2)/896 + (20551*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((3017*S[-1, Infinity]^3)/192 - 
     (13353*S[-1, Infinity]*S[2, Infinity])/448 - (97001*S[3, Infinity])/
      3584)*S[5, Infinity] - (5223*S[-1, Infinity]*S[7, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((403*S[-1, Infinity]^4)/6720 + 
     (206*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/420 - (81*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (36039*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (139*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1473*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(341*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-3197120*S[-7, -1, Infinity] - 511033*S[5, 3, Infinity] - 
     341760*S[-5, -1, -1, -1, Infinity] - 312320*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, -1, -3, 1, Infinity] -> 
  S[-1, Infinity]^8/20160 + (2683*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (1257073*S[2, Infinity]^4)/1176000 + 
   ((541*S[-1, Infinity]^2)/224 - (2767*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-615*S[-1, Infinity]^3)/64 + 
     (6301*S[-1, Infinity]*S[2, Infinity])/448 + (87225*S[3, Infinity])/3584)*
    S[5, Infinity] + (7753*S[-1, Infinity]*S[7, Infinity])/224 - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((79*S[-1, Infinity]^4)/3360 - 
     (373*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-403*S[-1, Infinity]^5)/3360 + 
     (305*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (10167*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (177*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 + 
     (-1191*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (1320960*S[-7, -1, Infinity] + 272309*S[5, 3, Infinity] + 
     204800*S[-5, -1, -1, -1, Infinity] + 113280*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -1, -3, -1, Infinity] -> -S[-1, Infinity]^8/4032 + 
   (233*S[-1, Infinity]^2*S[2, Infinity]^3)/96 + (435923*S[2, Infinity]^4)/
    168000 + ((759*S[-1, Infinity]^2)/448 - (947*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-615*S[-1, Infinity]^3)/64 + 
     (11773*S[-1, Infinity]*S[2, Infinity])/448 + (12089*S[3, Infinity])/512)*
    S[5, Infinity] + (7753*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[2, Infinity]*(S[-1, Infinity]^6/144 - (145*S[-5, -1, Infinity])/8) - 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/480 - 
     (21*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/80 + (13*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (6729*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (191360*S[-7, -1, Infinity] + 42261*S[5, 3, Infinity] + 
     38400*S[-5, -1, -1, -1, Infinity] + 13440*S[-5, -1, 1, 1, Infinity] + 
     25600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-1, -1, -1, -2, 2, 1, Infinity] -> S[-1, Infinity]^8/126 - 
   (827*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (827461*S[2, Infinity]^4)/392000 + 
   ((-481*S[-1, Infinity]^2)/224 + (3267*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((1417*S[-1, Infinity]^3)/128 - 
     (16819*S[-1, Infinity]*S[2, Infinity])/896 - (9487*S[3, Infinity])/3584)*
    S[5, Infinity] - (8405*S[-1, Infinity]*S[7, Infinity])/112 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((1129*S[-1, Infinity]^4)/3360 + 
     (411*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/1680 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (323*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (103*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(193*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/15 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (951*S[-5, -1, Infinity] + 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-115*S[-5, 1, 1, Infinity] + 
      242*S[5, -1, -1, Infinity] + 784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-1761280*S[-7, -1, Infinity] - 265599*S[5, 3, Infinity] - 
     243200*S[-5, -1, -1, -1, Infinity] - 101760*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, -2, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/56 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (8279*S[2, Infinity]^4)/7000 + ((-305*S[-1, Infinity]^2)/448 + 
     (1559*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((1417*S[-1, Infinity]^3)/128 - (21365*S[-1, Infinity]*S[2, Infinity])/
      448 + S[3, Infinity]/256)*S[5, Infinity] - 
   (8405*S[-1, Infinity]*S[7, Infinity])/112 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/240 + 
     (36*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/32 - (121*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (20527*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - 4*(-7*S[-5, -1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (S[-1, Infinity]^2*(339*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-115*S[-5, 1, 1, Infinity] + 
      242*S[5, -1, -1, Infinity] + 784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-13440*S[-7, -1, Infinity] - 2309*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2 + 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/80, S[-1, -1, -1, -2, 1, 2, Infinity] -> 
  (13*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (5253*S[2, Infinity]^4)/
    49000 + ((4565*S[-1, Infinity]^2)/1792 + (8579*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-797*S[-1, Infinity]^3)/384 - 
     (15945*S[-1, Infinity]*S[2, Infinity])/896 - (871*S[3, Infinity])/448)*
    S[5, Infinity] - (29283*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(45*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    28 + (-8740*S[-7, -1, Infinity] - 5539*S[5, 3, Infinity] - 
     4880*S[-5, -1, -1, -1, Infinity] + 5160*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((-221*S[-1, Infinity]^4)/3360 - 
     (129*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-81*S[-1, Infinity]^5)/2240 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1307*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (243*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-621*S[-5, -1, Infinity] + 
       392*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, -1, -2, 1, -2, Infinity] -> 
  (19*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (1621359*S[2, Infinity]^4)/
    784000 + ((413*S[-1, Infinity]^2)/256 - (797*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-797*S[-1, Infinity]^3)/384 + 
     (867*S[-1, Infinity]*S[2, Infinity])/128 + (57457*S[3, Infinity])/3584)*
    S[5, Infinity] - (29283*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(45*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    28 + (296000*S[-7, -1, Infinity] + 82823*S[5, 3, Infinity] + 
     40960*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((223*S[-1, Infinity]^4)/3360 - 
     (12*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/56 + (493*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1607*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (45*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-213*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, -1, -2, -1, 2, Infinity] -> (-2*S[-1, Infinity]^8)/315 + 
   (993*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (487847*S[2, Infinity]^4)/
    19600 + ((991*S[-1, Infinity]^2)/56 - (834*S[2, Infinity])/7)*
    S[3, Infinity]^2 + ((-12473*S[-1, Infinity]^3)/192 + 
     (186979*S[-1, Infinity]*S[2, Infinity])/896 + (133167*S[3, Infinity])/
      896)*S[5, Infinity] + (140409*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/168 - 
     (596*S[-1, 1, 1, 1, Infinity])/35) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-989*S[-1, Infinity]^5)/840 + 
     (1031*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (28727*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1129*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (35*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (6*(-243*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-475*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (2*S[-1, Infinity]*(103*S[-5, 1, 1, Infinity] - 
      142*S[5, -1, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (376064*S[-7, -1, Infinity] + 62669*S[5, 3, Infinity] + 
     46080*S[-5, -1, -1, -1, Infinity] + 32768*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[-1, -1, -1, -2, -1, -2, Infinity] -> (-13*S[-1, Infinity]^8)/3360 + 
   (15397*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (4206021*S[2, Infinity]^4)/196000 + 
   ((37679*S[-1, Infinity]^2)/1792 - (151825*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-12473*S[-1, Infinity]^3)/192 + 
     (692*S[-1, Infinity]*S[2, Infinity])/7 + (846107*S[3, Infinity])/7168)*
    S[5, Infinity] + (140409*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/672 - 
     (531*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-6259*S[-1, Infinity]^5)/6720 + 
     (6371*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (338053*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (6819*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-3137*S[-5, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/180 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 11*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-6955*S[-5, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]*(103*S[-5, 1, 1, Infinity] - 
      142*S[5, -1, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (26527040*S[-7, -1, Infinity] + 4366121*S[5, 3, Infinity] + 
     2837760*S[-5, -1, -1, -1, Infinity] + 
     2807040*S[-5, -1, 1, 1, Infinity] - 215040*S[-1, 1, 1, 1, Infinity]^2 - 
     10035200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -1, -1, -2, -2, 1, Infinity] -> -S[-1, Infinity]^8/180 - 
   (93*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (840499*S[2, Infinity]^4)/
    196000 + ((-5051*S[-1, Infinity]^2)/896 + (6169*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((207*S[-1, Infinity]^3)/32 - 
     (4405*S[-1, Infinity]*S[2, Infinity])/224 - (3625*S[3, Infinity])/896)*
    S[5, Infinity] - (1511*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/7 + (3*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1871*S[-1, Infinity]^5)/6720 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (839*S[-1, Infinity]*S[2, Infinity]^2)/70 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (1311*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(243*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (785*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-1640640*S[-7, -1, Infinity] - 185217*S[5, 3, Infinity] - 
     96000*S[-5, -1, -1, -1, Infinity] - 199680*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, -2, -2, -1, Infinity] -> 
  (-113*S[-1, Infinity]^8)/5040 - (2953*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1930407*S[2, Infinity]^4)/196000 + 
   ((-13081*S[-1, Infinity]^2)/1792 + (1511*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((207*S[-1, Infinity]^3)/32 + 
     (12035*S[-1, Infinity]*S[2, Infinity])/896 - (184781*S[3, Infinity])/
      7168)*S[5, Infinity] - (1511*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*((911*S[-1, Infinity]^4)/3360 - 
     (113*S[-1, 1, 1, 1, Infinity])/140) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((2243*S[-1, Infinity]^5)/6720 - (269*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (6603*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1403*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(155*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/144 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (23*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (691*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-1288640*S[-7, -1, Infinity] - 77187*S[5, 3, Infinity] + 
     231680*S[-5, -1, -1, -1, Infinity] - 428800*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -1, -3, 1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/4032 + (27*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (1175381*S[2, Infinity]^4)/784000 + 
   ((-123*S[-1, Infinity]^2)/448 - (487*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-35*S[-1, Infinity]^3)/48 - 
     (249*S[-1, Infinity]*S[2, Infinity])/224 - (5007*S[3, Infinity])/3584)*
    S[5, Infinity] + (3729*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/28 - (5*S[-1, 1, 1, 1, Infinity])/
      7) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/840 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (901*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-29*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (104640*S[-7, -1, Infinity] + 28317*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] + 23680*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -1, -3, 1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/2016 + (139*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (261923*S[2, Infinity]^4)/112000 + 
   ((25*S[-1, Infinity]^2)/112 - (7*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-35*S[-1, Infinity]^3)/48 - (537*S[-1, Infinity]*S[2, Infinity])/224 + 
     (3827*S[3, Infinity])/512)*S[5, Infinity] + 
   (3729*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/40 - (11*S[-1, 1, 1, 1, Infinity])/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/240 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (73*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-31*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - 5*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
      Infinity]) - (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 
      S[5, -1, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (8640*S[-7, -1, Infinity] + 1471*S[5, 3, Infinity] + 
     4480*S[-5, -1, 1, 1, Infinity] - 7680*S[-1, 1, 1, 1, Infinity]^2 - 
     5120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-1, -1, -1, -3, -1, 1, Infinity] -> (31*S[-1, Infinity]^8)/6720 - 
   (597*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (114397*S[2, Infinity]^4)/392000 + 
   ((209*S[-1, Infinity]^2)/448 + (3155*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((625*S[-1, Infinity]^3)/64 - 
     (25867*S[-1, Infinity]*S[2, Infinity])/448 - (164161*S[3, Infinity])/
      3584)*S[5, Infinity] - (15065*S[-1, Infinity]*S[7, Infinity])/448 + 
   (2*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/3360 + 
     (257*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((173*S[-1, Infinity]^5)/840 - (1853*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (11987*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (381*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(845*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (1231*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-2828160*S[-7, -1, Infinity] - 566653*S[5, 3, Infinity] - 
     468480*S[-5, -1, -1, -1, Infinity] - 243840*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -1, -3, -1, -1, Infinity] -> (19*S[-1, Infinity]^8)/10080 - 
   (1321*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (86199*S[2, Infinity]^4)/39200 + ((-775*S[-1, Infinity]^2)/448 + 
     (8625*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((625*S[-1, Infinity]^3)/64 - (17419*S[-1, Infinity]*S[2, Infinity])/448 - 
     (75675*S[3, Infinity])/1792)*S[5, Infinity] - 
   (15065*S[-1, Infinity]*S[7, Infinity])/448 + 
   (2*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/70 + 
     (27*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/56 - (247*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (9031*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (135*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 
     (1843*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(669*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-180416*S[-7, -1, Infinity] - 40193*S[5, 3, Infinity] - 
     35584*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[-1, -1, -2, 2, 1, 1, Infinity] -> -S[-1, Infinity]^8/168 - 
   (849*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (362247*S[2, Infinity]^4)/112000 + 
   ((-2635*S[-1, Infinity]^2)/448 - (265*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((1643*S[-1, Infinity]^3)/384 + 
     (11279*S[-1, Infinity]*S[2, Infinity])/896 + (6049*S[3, Infinity])/512)*
    S[5, Infinity] - (33611*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/480 - 
     (23*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/60 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (1843*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + 
     (147*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(53*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-151*S[-5, 1, 1, Infinity] - 18*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-42720*S[-7, -1, Infinity] + 463*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 8000*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2 + 56320*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, -1, -2, 2, 1, -1, Infinity] -> 
  (-599*S[-1, Infinity]^8)/40320 - (1171*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4168131*S[2, Infinity]^4)/784000 + 
   ((-1179*S[-1, Infinity]^2)/256 + (1667*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/96 + 
     (865*S[-1, Infinity]*S[2, Infinity])/64 - (122225*S[3, Infinity])/7168)*
    S[5, Infinity] - (33611*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-1591*S[-1, Infinity]^4)/6720 + 
     (153*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/56 - (335*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (107*S[-1, Infinity]*S[2, Infinity]^2)/128 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (211*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(11*S[-5, -1, Infinity] + 
      64*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/180 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (795*S[-5, -1, Infinity] + 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-151*S[-5, 1, 1, Infinity] - 18*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-713920*S[-7, -1, Infinity] - 33259*S[5, 3, Infinity] + 
     144640*S[-5, -1, -1, -1, Infinity] - 261120*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -2, 2, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/1260 + (2627*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4464961*S[2, Infinity]^4)/392000 + 
   ((-9099*S[-1, Infinity]^2)/1792 - (26827*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/32 + 
     (1213*S[-1, Infinity]*S[2, Infinity])/28 - (198897*S[3, Infinity])/7168)*
    S[5, Infinity] + (167019*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((799*S[-1, Infinity]^4)/1120 - 
     (199*S[-1, 1, 1, 1, Infinity])/140) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*((47*S[-1, Infinity]^5)/140 + 
     (1097*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (26753*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (515*S[-1, 1, 1, 1, 1, Infinity])/14) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(-507*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (155*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-72*S[-5, 1, 1, Infinity] - 121*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1958080*S[-7, -1, Infinity] + 602587*S[5, 3, Infinity] + 
     874240*S[-5, -1, -1, -1, Infinity] - 282880*S[-5, -1, 1, 1, Infinity] - 
     430080*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -2, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/504 + (2113*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (154163*S[2, Infinity]^4)/14000 + ((-3909*S[-1, Infinity]^2)/448 - 
     (915*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-899*S[-1, Infinity]^3)/192 + (13721*S[-1, Infinity]*S[2, Infinity])/
      448 + (285*S[3, Infinity])/32)*S[5, Infinity] + 
   (167019*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((133*S[-1, Infinity]^4)/120 - 
     (16*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/30 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (1299*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     20*S[-1, 1, 1, 1, 1, Infinity]) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-4*S[-1, Infinity]^6)/45 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - 2*(-9*S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])) - 
   (8*S[-1, Infinity]^2*(6*S[-5, -1, Infinity] - 
      7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-72*S[-5, 1, 1, Infinity] - 121*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2087*S[5, 3, Infinity] + 3200*S[-5, -1, -1, -1, Infinity] - 
     1920*S[-5, -1, 1, 1, Infinity] - 1280*S[-1, 1, 1, 1, Infinity]^2 + 
     10240*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/160, 
 S[-1, -1, -2, 1, 2, 1, Infinity] -> 
  (-61*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (38303*S[2, Infinity]^4)/49000 + ((6651*S[-1, Infinity]^2)/1792 + 
     (18439*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/128 - (8077*S[-1, Infinity]*S[2, Infinity])/
      896 - (10197*S[3, Infinity])/896)*S[5, Infinity] - 
   (249357*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (493*S[2, Infinity]*S[-5, -1, Infinity])/56 - 
   (155*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/
    28 + (-20680*S[-7, -1, Infinity] - 18593*S[5, 3, Infinity] - 
     16160*S[-5, -1, -1, -1, Infinity] + 7760*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((97*S[-1, Infinity]^4)/3360 - 
     (97*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-493*S[-1, Infinity]^5)/6720 + (493*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (1949*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (493*S[-1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, -2, 1, 2, -1, Infinity] -> S[-1, Infinity]^8/128 + 
   (727*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (113831*S[2, Infinity]^4)/31360 + ((5787*S[-1, Infinity]^2)/1792 - 
     (3053*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((1069*S[-1, Infinity]*S[2, Infinity])/112 + (80037*S[3, Infinity])/3584)*
    S[5, Infinity] - (249357*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (155*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((1157*S[-1, Infinity]^4)/6720 - 
     (527*S[-1, 1, 1, 1, Infinity])/280) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (59072*S[-7, -1, Infinity] + 7507*S[5, 3, Infinity] - 
     13568*S[-5, -1, -1, -1, Infinity] + 21632*S[-5, -1, 1, 1, Infinity] + 
     16128*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-781*S[-1, Infinity]^5)/6720 + 
     (781*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (103*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (781*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 - (739*S[-5, -1, Infinity])/56 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -1, -2, 1, 1, 2, Infinity] -> -S[-1, Infinity]^8/1152 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/6 + (43637*S[2, Infinity]^4)/
    168000 + ((-71*S[-1, Infinity]^2)/128 - (721*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]^3)/192 + 
     (2391*S[-1, Infinity]*S[2, Infinity])/128 + (9059*S[3, Infinity])/512)*
    S[5, Infinity] + (13303*S[-1, Infinity]*S[7, Infinity])/512 - 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   5*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/480 - 
     (13*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (99840*S[-7, -1, Infinity] + 27799*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*(S[-1, Infinity]^5/320 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (377*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/360 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-19*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-1, -1, -2, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/288 + 
   (2731*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (3525583*S[2, Infinity]^4)/2352000 + 
   ((-67*S[-1, Infinity]^2)/1792 - (6235*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/32 - 
     (1157*S[-1, Infinity]*S[2, Infinity])/448 + (22327*S[3, Infinity])/7168)*
    S[5, Infinity] + (13303*S[-1, Infinity]*S[7, Infinity])/512 - 
   (93*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   5*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/168 - 
     (2*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (868160*S[-7, -1, Infinity] + 225921*S[5, 3, Infinity] + 
     208640*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/224 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6689*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (85*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-297*S[-5, -1, Infinity] + 196*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -1, -2, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/280 + 
   (26611*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (52252211*S[2, Infinity]^4)/2352000 + 
   ((3991*S[-1, Infinity]^2)/256 - (110309*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2697*S[-1, Infinity]^3)/64 + 
     (2323*S[-1, Infinity]*S[2, Infinity])/32 + (371753*S[3, Infinity])/3584)*
    S[5, Infinity] + (348381*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((79*S[-1, Infinity]^4)/672 - 
     (183*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-1817*S[-1, Infinity]^5)/2240 + (2029*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (4349*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (6011*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(27*S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-4969*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]*(100*S[-5, 1, 1, Infinity] - 
      103*S[5, -1, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (2391520*S[-7, -1, Infinity] + 376221*S[5, 3, Infinity] + 
     217920*S[-5, -1, -1, -1, Infinity] + 265920*S[-5, -1, 1, 1, Infinity] - 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[-1, -1, -2, 1, -1, -2, Infinity] -> -S[-1, Infinity]^8/180 + 
   (4951*S[-1, Infinity]^2*S[2, Infinity]^3)/480 - 
   (6719389*S[2, Infinity]^4)/294000 + 
   ((18289*S[-1, Infinity]^2)/1792 - (2697*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-16027*S[-1, Infinity]^3)/384 + 
     (89319*S[-1, Infinity]*S[2, Infinity])/448 + (395113*S[3, Infinity])/
      3584)*S[5, Infinity] + (348381*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-677*S[-1, Infinity]^4)/3360 - 
     (1037*S[-1, 1, 1, 1, Infinity])/70) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-153*S[-1, Infinity]^5)/140 + 
     (7715*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (52397*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (988*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*(-1139*S[-5, -1, Infinity] - 126*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (S[-1, Infinity]^2*(-835*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*S[-1, Infinity]*(100*S[-5, 1, 1, Infinity] - 
      103*S[5, -1, -1, Infinity] - 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (13634240*S[-7, -1, Infinity] + 2192703*S[5, 3, Infinity] + 
     1557760*S[-5, -1, -1, -1, Infinity] + 
     1219840*S[-5, -1, 1, 1, Infinity] - 5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -2, 1, -2, 1, Infinity] -> 
  (29*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (21733*S[2, Infinity]^4)/12250 + ((189*S[-1, Infinity]^2)/256 + 
     (575*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 - (43*S[-1, Infinity]*S[2, Infinity])/4 + 
     (8523*S[3, Infinity])/1792)*S[5, Infinity] + 
   (2085*S[-1, Infinity]*S[7, Infinity])/448 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (229*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] - 32*S[5, -1, -1, Infinity]))/
    28 + (6800*S[-7, -1, Infinity] - 569*S[5, 3, Infinity] - 
     9920*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/420 - 
     (26*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/84 + (5*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (199*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, -2, 1, -2, -1, Infinity] -> 
  (-341*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (84029*S[2, Infinity]^4)/24500 + ((1917*S[-1, Infinity]^2)/1792 + 
     (3953*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/128 - (19475*S[-1, Infinity]*S[2, Infinity])/
      896 + (13527*S[3, Infinity])/896)*S[5, Infinity] + 
   (2085*S[-1, Infinity]*S[7, Infinity])/448 + 
   (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] - 32*S[5, -1, -1, Infinity]))/
    28 + (-5920*S[-7, -1, Infinity] - 2099*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((-283*S[-1, Infinity]^4)/840 - 
     (32*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-47*S[-1, Infinity]^5)/672 - (853*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (1003*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (235*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 - (64*S[-5, -1, Infinity])/7 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -1, -2, -1, 2, 1, Infinity] -> (-95*S[-1, Infinity]^8)/8064 + 
   (299*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (1877579*S[2, Infinity]^4)/
    156800 + ((13033*S[-1, Infinity]^2)/896 - (48431*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-8711*S[-1, Infinity]^3)/192 + 
     (25661*S[-1, Infinity]*S[2, Infinity])/448 + (220483*S[3, Infinity])/
      3584)*S[5, Infinity] + (865281*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((181*S[-1, Infinity]^4)/6720 - 
     (2211*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-267*S[-1, Infinity]^5)/560 + 
     (1679*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (90987*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (488*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/360 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-2575*S[-5, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-401*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (S[-1, Infinity]*(597*S[-5, 1, 1, Infinity] - 824*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1364416*S[-7, -1, Infinity] + 219249*S[5, 3, Infinity] + 
     160000*S[-5, -1, -1, -1, Infinity] + 121344*S[-5, -1, 1, 1, Infinity] - 
     16128*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, -1, -2, -1, 2, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/360 + (3499*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2452293*S[2, Infinity]^4)/98000 + 
   ((3821*S[-1, Infinity]^2)/448 - (45623*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-16151*S[-1, Infinity]^3)/384 + 
     (2439*S[-1, Infinity]*S[2, Infinity])/14 + (206919*S[3, Infinity])/1792)*
    S[5, Infinity] + (865281*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-471*S[-1, Infinity]^4)/560 - 
     (704*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1133*S[-1, Infinity]^5)/1120 + 
     (869*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (19701*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (3749*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((73*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-1471*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]^2*(-467*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(597*S[-5, 1, 1, Infinity] - 824*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (871040*S[-7, -1, Infinity] + 142633*S[5, 3, Infinity] + 
     97920*S[-5, -1, -1, -1, Infinity] + 81280*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, -1, -2, -1, 1, 2, Infinity] -> 
  (19*S[-1, Infinity]^8)/4480 - (461*S[-1, Infinity]^2*S[2, Infinity]^3)/48 + 
   (33947887*S[2, Infinity]^4)/2352000 + 
   ((-22945*S[-1, Infinity]^2)/1792 + (117641*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2945*S[-1, Infinity]^3)/64 - 
     (21677*S[-1, Infinity]*S[2, Infinity])/224 - (276011*S[3, Infinity])/
      3584)*S[5, Infinity] - (1665859*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-3127*S[-1, Infinity]^4)/6720 + 
     (2847*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((1401*S[-1, Infinity]^5)/2240 - 
     (2329*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (131961*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (4763*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(503*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(1255*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-537*S[-5, 1, 1, Infinity] + 
      793*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (3*(-3276480*S[-7, -1, Infinity] - 547031*S[5, 3, Infinity] - 
      375040*S[-5, -1, -1, -1, Infinity] - 288000*S[-5, -1, 1, 1, Infinity] + 
      26880*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/17920, S[-1, -1, -2, -1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/180 - (9341*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (51238921*S[2, Infinity]^4)/2352000 + 
   ((-14269*S[-1, Infinity]^2)/1792 + (97395*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((17515*S[-1, Infinity]^3)/384 - 
     (189619*S[-1, Infinity]*S[2, Infinity])/896 - (111907*S[3, Infinity])/
      896)*S[5, Infinity] - (1665859*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/210 + 
     (1061*S[-1, 1, 1, 1, Infinity])/70) + 
   S[3, Infinity]*((157*S[-1, Infinity]^5)/140 - 
     (3775*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (13497*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (1012*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(-163*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(-579*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-537*S[-5, 1, 1, Infinity] + 
      793*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-7180160*S[-7, -1, Infinity] - 1190907*S[5, 3, Infinity] - 
     871040*S[-5, -1, -1, -1, Infinity] - 625280*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -2, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/90 - 
   (4943*S[-1, Infinity]^2*S[2, Infinity]^3)/210 + 
   (27789547*S[2, Infinity]^4)/588000 + 
   ((-1167*S[-1, Infinity]^2)/56 + (5907*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((4309*S[-1, Infinity]^3)/48 - 
     (369123*S[-1, Infinity]*S[2, Infinity])/896 - (118609*S[3, Infinity])/
      448)*S[5, Infinity] - (48327*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((331*S[-1, Infinity]^4)/840 + 
     (992*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2033*S[-1, Infinity]^5)/840 - (985*S[-1, Infinity]^3*S[2, Infinity])/
      42 - (54177*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (2033*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   (3*S[-1, Infinity]^2*(-579*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 - 
     (27*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5935*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]*(145*S[-5, 1, 1, Infinity] - 
      184*S[5, -1, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (-1768640*S[-7, -1, Infinity] - 293457*S[5, 3, Infinity] - 
     208640*S[-5, -1, -1, -1, Infinity] - 158720*S[-5, -1, 1, 1, Infinity] + 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1120, 
 S[-1, -1, -2, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/140 - 
   (10487*S[-1, Infinity]^2*S[2, Infinity]^3)/480 + 
   (26863*S[2, Infinity]^4)/840 + ((-51591*S[-1, Infinity]^2)/1792 + 
     (35455*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((1457*S[-1, Infinity]^3)/16 - (97969*S[-1, Infinity]*S[2, Infinity])/
      448 - (184697*S[3, Infinity])/1024)*S[5, Infinity] - 
   (48327*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((-337*S[-1, Infinity]^4)/480 + 
     (447*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((329*S[-1, Infinity]^5)/192 - (1573*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (586641*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (1645*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + 11*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1439*S[-5, -1, Infinity] - 
       96*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(5365*S[-5, -1, Infinity] + 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (2*S[-1, Infinity]*(145*S[-5, 1, 1, Infinity] - 
      184*S[5, -1, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 - (3*(400192*S[-7, -1, Infinity] + 65265*S[5, 3, Infinity] + 
      44288*S[-5, -1, -1, -1, Infinity] + 38144*S[-5, -1, 1, 1, Infinity] - 
      163840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/1024, 
 S[-1, -1, -2, -1, -2, 1, Infinity] -> (101*S[-1, Infinity]^8)/10080 + 
   (16131*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (393803*S[2, Infinity]^4)/28000 + ((32763*S[-1, Infinity]^2)/1792 - 
     (23653*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-23839*S[-1, Infinity]^3)/384 + (134375*S[-1, Infinity]*S[2, Infinity])/
      896 + (105405*S[3, Infinity])/1024)*S[5, Infinity] + 
   (147121*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((281*S[-1, Infinity]^4)/480 - 
     (141*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1013*S[-1, Infinity]^5)/960 + 
     (505*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (72357*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (893*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/360 - (713*S[-5, -1, Infinity])/
      4 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (3*S[-1, Infinity]^2*(-1067*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (4*S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3514560*S[-7, -1, Infinity] + 607423*S[5, 3, Infinity] + 
     449280*S[-5, -1, -1, -1, Infinity] + 275200*S[-5, -1, 1, 1, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, -1, -2, -1, -2, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/672 + (12737*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (371531*S[2, Infinity]^4)/196000 + 
   ((41565*S[-1, Infinity]^2)/1792 - (96227*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/8 + 
     (49419*S[-1, Infinity]*S[2, Infinity])/896 + (242701*S[3, Infinity])/
      7168)*S[5, Infinity] + (147121*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((6263*S[-1, Infinity]^4)/3360 + 
     (79*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-655*S[-1, Infinity]^5)/1344 + 
     (4577*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (176331*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (2435*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/240 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (39*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-1613*S[-5, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(741*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (4*S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (11965120*S[-7, -1, Infinity] + 2175911*S[5, 3, Infinity] + 
     1893120*S[-5, -1, -1, -1, Infinity] + 633600*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -1, -2, -2, 1, 1, Infinity] -> 
  (-25*S[-1, Infinity]^8)/2688 - (33*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - 
   (312209*S[2, Infinity]^4)/156800 + 
   ((-1875*S[-1, Infinity]^2)/1792 + (14205*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/96 - 
     (10671*S[-1, Infinity]*S[2, Infinity])/448 - (18847*S[3, Infinity])/
      7168)*S[5, Infinity] - (259201*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-1229*S[-1, Infinity]^4)/6720 - 
     (1641*S[-1, 1, 1, 1, Infinity])/280) + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/140 - 
     (1345*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (57583*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (79*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(263*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/9 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-103*S[-5, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-45*S[-5, 1, 1, Infinity] + 109*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-283328*S[-7, -1, Infinity] - 72287*S[5, 3, Infinity] - 
     76544*S[-5, -1, -1, -1, Infinity] + 29952*S[-5, -1, 1, 1, Infinity] - 
     32256*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -1, -2, -2, 1, -1, Infinity] -> 
  (31*S[-1, Infinity]^8)/10080 + (2057*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (643623*S[2, Infinity]^4)/196000 + 
   ((121*S[-1, Infinity]^2)/448 + (5093*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (10097*S[-1, Infinity]*S[2, Infinity])/448 + (17481*S[3, Infinity])/
      3584)*S[5, Infinity] - (259201*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((1357*S[-1, Infinity]^4)/1680 + 
     (46*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((71*S[-1, Infinity]^5)/840 + (1385*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (10677*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (71*S[-1, 1, 1, 1, 1, Infinity])/7) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*((-3*S[-1, Infinity]^6)/20 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(-67*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(121*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-45*S[-5, 1, 1, Infinity] + 109*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1735360*S[-7, -1, Infinity] - 248159*S[5, 3, Infinity] - 
     177920*S[-5, -1, -1, -1, Infinity] - 117760*S[-5, -1, 1, 1, Infinity] + 
     1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -2, -2, -1, 1, Infinity] -> (13*S[-1, Infinity]^8)/5040 - 
   (919*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (146963*S[2, Infinity]^4)/39200 + ((8045*S[-1, Infinity]^2)/1792 + 
     (46171*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((5549*S[-1, Infinity]^3)/384 - (39653*S[-1, Infinity]*S[2, Infinity])/
      896 - (31915*S[3, Infinity])/7168)*S[5, Infinity] - 
   (7645*S[-1, Infinity]*S[7, Infinity])/64 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-305*S[-1, Infinity]^4)/672 + 
     (587*S[-1, 1, 1, 1, Infinity])/140) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/168 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (36381*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/360 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(79*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(701*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   16*S[-1, Infinity]*(S[5, -1, -1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-917184*S[-7, -1, Infinity] - 207271*S[5, 3, Infinity] - 
     211712*S[-5, -1, -1, -1, Infinity] + 256*S[-5, -1, 1, 1, Infinity] + 
     57344*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -1, -2, -2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/504 - (729*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (156183*S[2, Infinity]^4)/14000 + 
   ((145*S[-1, Infinity]^2)/128 + (3217*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (121*S[-1, Infinity]*S[2, Infinity])/2 + (331*S[3, Infinity])/16)*
    S[5, Infinity] - (7645*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/15 - 
     (8*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-7360*S[-7, -1, Infinity] - 2141*S[5, 3, Infinity] - 
     2880*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/60 - (93*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (1149*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((23*S[-1, Infinity]^6)/120 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (3*(19*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (3*S[-1, Infinity]^2*(21*S[-5, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 16*S[-1, Infinity]*
    (S[5, -1, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, -3, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/448 - 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/420 - (1569571*S[2, Infinity]^4)/
    2352000 + ((-155*S[-1, Infinity]^2)/896 + (1153*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 + 
     (479*S[-1, Infinity]*S[2, Infinity])/224 - (22271*S[3, Infinity])/3584)*
    S[5, Infinity] - (1591*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/210 + 
     (41*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/840 - (17*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (17*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (111*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-39360*S[-7, -1, Infinity] - 33141*S[5, 3, Infinity] - 
     20480*S[-5, -1, -1, -1, Infinity] - 19840*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -3, 1, 1, -1, Infinity] -> 
  (89*S[-1, Infinity]^8)/13440 - (793*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (630473*S[2, Infinity]^4)/336000 + 
   ((1087*S[-1, Infinity]^2)/896 + (1521*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/192 - 
     (12073*S[-1, Infinity]*S[2, Infinity])/448 - (9361*S[3, Infinity])/512)*
    S[5, Infinity] - (1591*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((139*S[-1, Infinity]^4)/960 + 
     (15*S[-1, 1, 1, 1, Infinity])/8) + S[3, Infinity]*
    (S[-1, Infinity]^5/48 - (5*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (1111*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (75*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(289*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-185600*S[-7, -1, Infinity] - 36147*S[5, 3, Infinity] - 
     28160*S[-5, -1, -1, -1, Infinity] - 14720*S[-5, -1, 1, 1, Infinity] + 
     6400*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -1, -3, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/2520 - (1223*S[-1, Infinity]^2*S[2, Infinity]^3)/672 + 
   (89309*S[2, Infinity]^4)/336000 + ((-577*S[-1, Infinity]^2)/224 + 
     (77*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((2387*S[-1, Infinity]^3)/384 + (7039*S[-1, Infinity]*S[2, Infinity])/
      896 - (1921*S[3, Infinity])/512)*S[5, Infinity] - 
   (304749*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/96 + 
     (43*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/80 - (S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (1937*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]/2) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(177*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + 9*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-64*S[-5, 1, 1, Infinity] + 125*S[5, -1, -1, Infinity] + 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-59520*S[-7, -1, Infinity] - 5481*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 8320*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2 - 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -1, -3, 1, -1, -1, Infinity] -> 
  (-41*S[-1, Infinity]^8)/20160 - (13207*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (2705891*S[2, Infinity]^4)/1176000 + 
   ((-1669*S[-1, Infinity]^2)/896 + (5683*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/16 - 
     (3839*S[-1, Infinity]*S[2, Infinity])/448 - (21037*S[3, Infinity])/3584)*
    S[5, Infinity] - (304749*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-571*S[-1, Infinity]^4)/1120 - 
     (18*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/840 - 
     (881*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (9867*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (213*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(319*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-64*S[-5, 1, 1, Infinity] + 125*S[5, -1, -1, Infinity] + 
      392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-632320*S[-7, -1, Infinity] - 135287*S[5, 3, Infinity] - 
     117760*S[-5, -1, -1, -1, Infinity] - 30080*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -1, -3, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/40320 + 
   (563*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (588893*S[2, Infinity]^4)/1176000 + 
   ((-809*S[-1, Infinity]^2)/448 + (1759*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((2387*S[-1, Infinity]^3)/384 - 
     (2109*S[-1, Infinity]*S[2, Infinity])/896 - (2841*S[3, Infinity])/3584)*
    S[5, Infinity] - (27809*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((211*S[-1, Infinity]^4)/1344 - 
     (57*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((101*S[-1, Infinity]^5)/1120 - 
     (149*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (5529*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(-23*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-360320*S[-7, -1, Infinity] - 42141*S[5, 3, Infinity] - 
     75520*S[-5, -1, -1, -1, Infinity] - 9600*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -3, -1, 1, -1, Infinity] -> 
  (107*S[-1, Infinity]^8)/10080 - (323*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (1462861*S[2, Infinity]^4)/2352000 + 
   ((-1555*S[-1, Infinity]^2)/896 + (5205*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1891*S[-1, Infinity]^3)/384 - 
     (6925*S[-1, Infinity]*S[2, Infinity])/896 + (3851*S[3, Infinity])/3584)*
    S[5, Infinity] - (27809*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-247*S[-1, Infinity]^4)/840 + 
     (197*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/672 - 
     (307*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1845*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-5*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(83*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-546240*S[-7, -1, Infinity] - 106261*S[5, 3, Infinity] - 
     84480*S[-5, -1, -1, -1, Infinity] - 18560*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -1, -3, -1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/2016 + (4813*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (195931*S[2, Infinity]^4)/147000 + 
   ((-1059*S[-1, Infinity]^2)/224 - (1741*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((1147*S[-1, Infinity]^3)/128 + 
     (36727*S[-1, Infinity]*S[2, Infinity])/896 + (1297*S[3, Infinity])/448)*
    S[5, Infinity] - (15065*S[-1, Infinity]*S[7, Infinity])/448 + 
   (2*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-491*S[-1, Infinity]^4)/1680 + 
     (17*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/112 + 
     (109*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (9433*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(-45*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-295*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (403520*S[-7, -1, Infinity] + 67367*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 26240*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -1, -3, -1, -1, -1, Infinity] -> (-47*S[-1, Infinity]^8)/10080 + 
   (8837*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (88237*S[2, Infinity]^4)/294000 + ((-291*S[-1, Infinity]^2)/112 + 
     (825*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/16 - (253*S[-1, Infinity]*S[2, Infinity])/112 - 
     (3235*S[3, Infinity])/1792)*S[5, Infinity] - 
   (15065*S[-1, Infinity]*S[7, Infinity])/448 + 
   (2*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((31*S[-1, Infinity]^4)/336 + 
     (41*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((41*S[-1, Infinity]^5)/840 - (5*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (363*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/180 - 
     (3*(-121*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (3*S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-403520*S[-7, -1, Infinity] - 67367*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/8960, 
 S[-1, -2, 2, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (39*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (1398969*S[2, Infinity]^4)/
    784000 + ((-51*S[-1, Infinity]^2)/28 - (177*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 + 
     (1021*S[-1, Infinity]*S[2, Infinity])/448 + (9995*S[3, Infinity])/3584)*
    S[5, Infinity] + (35281*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-853*S[-1, Infinity]^4)/3360 + 
     (13*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/112 - 
     (209*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (2299*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/9 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (13*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 76*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (98240*S[-7, -1, Infinity] + 13497*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] - 8320*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, 2, 1, 1, -1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/3360 + (4769*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4604687*S[2, Infinity]^4)/784000 + 
   ((-77*S[-1, Infinity]^2)/64 - (907*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/64 + (859*S[-1, Infinity]*S[2, Infinity])/64 + 
     (18317*S[3, Infinity])/3584)*S[5, Infinity] + 
   (35281*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((1703*S[-1, Infinity]^4)/3360 - 
     (261*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((1217*S[-1, Infinity]^5)/6720 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (127*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/240 + (951*S[-5, -1, Infinity])/
      56 - (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 76*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-491200*S[-7, -1, Infinity] + 7331*S[5, 3, Infinity] + 
     79360*S[-5, -1, -1, -1, Infinity] - 137600*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 788480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, 2, 1, -1, 1, Infinity] -> 
  (43*S[-1, Infinity]^8)/13440 + (5*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (1829757*S[2, Infinity]^4)/784000 + 
   ((41*S[-1, Infinity]^2)/64 - (97*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((589*S[-1, Infinity]^3)/128 + (2801*S[-1, Infinity]*S[2, Infinity])/128 + 
     (166573*S[3, Infinity])/7168)*S[5, Infinity] - 
   (54195*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-6721*S[-1, Infinity]^4)/6720 + 
     (183*S[-1, 1, 1, 1, Infinity])/280) - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-1727*S[-1, Infinity]^5)/6720 + 
     (349*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (7851*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (367*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1153*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(3*S[-5, -1, Infinity] - 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 166*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1433920*S[-7, -1, Infinity] + 204133*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 281600*S[-5, -1, 1, 1, Infinity] + 
     268800*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, 2, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/840 - (117*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (4317377*S[2, Infinity]^4)/784000 + 
   ((-2399*S[-1, Infinity]^2)/1792 - (11519*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((589*S[-1, Infinity]^3)/128 + 
     (16025*S[-1, Infinity]*S[2, Infinity])/896 + (277339*S[3, Infinity])/
      7168)*S[5, Infinity] - (54195*S[-1, Infinity]*S[7, Infinity])/896 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-6121*S[-1, Infinity]^4)/3360 + 
     (51*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-659*S[-1, Infinity]^5)/3360 - (845*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (45491*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (198*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-27*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/144 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-1941*S[-5, -1, Infinity] + 448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 166*S[5, -1, -1, Infinity] + 
      784*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2333760*S[-7, -1, Infinity] + 328903*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] + 506880*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 1290240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, 2, -1, 1, 1, Infinity] -> 
  (23*S[-1, Infinity]^8)/5040 - (4737*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (2583901*S[2, Infinity]^4)/392000 + 
   ((373*S[-1, Infinity]^2)/56 + (4839*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((1519*S[-1, Infinity]^3)/384 - 
     (56657*S[-1, Infinity]*S[2, Infinity])/896 - (44467*S[3, Infinity])/
      7168)*S[5, Infinity] - (222305*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/1120 - 
     (397*S[-1, 1, 1, 1, Infinity])/140) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-167*S[-1, Infinity]^5)/6720 - 
     (911*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (55931*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (129*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-59*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(-139*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] + 121*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-3033920*S[-7, -1, Infinity] - 784837*S[5, 3, Infinity] - 
     938240*S[-5, -1, -1, -1, Infinity] + 239360*S[-5, -1, 1, 1, Infinity] + 
     860160*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, 2, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/60 - 
   (1969*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1358867*S[2, Infinity]^4)/196000 + 
   ((8891*S[-1, Infinity]^2)/1792 + (21051*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1519*S[-1, Infinity]^3)/384 - 
     (27593*S[-1, Infinity]*S[2, Infinity])/896 + (147473*S[3, Infinity])/
      7168)*S[5, Infinity] - (222305*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-703*S[-1, Infinity]^4)/1120 + 
     (429*S[-1, 1, 1, 1, Infinity])/140) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/840 - 
     (115*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (17641*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (257*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(193*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-465*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] + 121*S[5, -1, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1152320*S[-7, -1, Infinity] - 416833*S[5, 3, Infinity] - 
     687360*S[-5, -1, -1, -1, Infinity] + 346880*S[-5, -1, 1, 1, Infinity] + 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, 2, -1, -1, 1, Infinity] -> 
  (67*S[-1, Infinity]^8)/8064 - (2451*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (102673*S[2, Infinity]^4)/112000 + 
   ((2353*S[-1, Infinity]^2)/896 + (1959*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (23015*S[-1, Infinity]*S[2, Infinity])/448 - (1989*S[3, Infinity])/64)*
    S[5, Infinity] + (182159*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((273*S[-1, Infinity]^4)/320 + 
     (7*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((253*S[-1, Infinity]^5)/960 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (19933*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     25*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(365*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (91*S[-5, -1, Infinity] + 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-89920*S[-7, -1, Infinity] - 24773*S[5, 3, Infinity] - 
     20480*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] - 
     1920*S[-1, 1, 1, 1, Infinity]^2 + 30720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-1, -2, 2, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/840 - (6877*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (36783*S[2, Infinity]^4)/14000 + ((93*S[-1, Infinity]^2)/28 + 
     (1775*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 - (44267*S[-1, Infinity]*S[2, Infinity])/448 - 
     (13327*S[3, Infinity])/256)*S[5, Infinity] + 
   (182159*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (99*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((91*S[-1, Infinity]^4)/60 - 
     (16*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/60 - 
     (49*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (14297*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     42*S[-1, 1, 1, 1, 1, Infinity]) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     44*S[-5, -1, Infinity] + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     18*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-28160*S[-7, -1, Infinity] - 5413*S[5, 3, Infinity] - 
     4480*S[-5, -1, -1, -1, Infinity] - 1920*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2 + 10240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/160, S[-1, -2, 1, 2, 1, 1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (729709*S[2, Infinity]^4)/
    784000 + ((-65*S[-1, Infinity]^2)/56 + (341*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (407*S[-1, Infinity]*S[2, Infinity])/112 - (4411*S[3, Infinity])/7168)*
    S[5, Infinity] - (104865*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (26*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    28 + (-685760*S[-7, -1, Infinity] + 421*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/168 + 
     (11*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/420 - (13*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (3709*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (1081*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (3003141*S[2, Infinity]^4)/784000 + 
   ((-1243*S[-1, Infinity]^2)/896 + (4653*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (3011*S[-1, Infinity]*S[2, Infinity])/112 - (19539*S[3, Infinity])/1792)*
    S[5, Infinity] - (104865*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (145*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((99*S[-1, Infinity]^4)/448 - 
     (297*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (3*(24000*S[-7, -1, Infinity] + 8129*S[5, 3, Infinity] + 
      9920*S[-5, -1, -1, -1, Infinity] - 4320*S[-5, -1, 1, 1, Infinity] + 
      4480*S[-1, 1, 1, 1, Infinity]^2))/4480 + 
   S[3, Infinity]*((803*S[-1, Infinity]^5)/6720 - 
     (235*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (15977*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (279*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 - (219*S[-5, -1, Infinity])/
      56 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 1, 2, -1, 1, Infinity] -> (-7*S[-1, Infinity]^8)/1152 + 
   (123*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (2147707*S[2, Infinity]^4)/
    784000 + ((-3751*S[-1, Infinity]^2)/896 - (6303*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1205*S[-1, Infinity]*S[2, Infinity])/56 - 
     (45345*S[3, Infinity])/3584)*S[5, Infinity] + 
   (138897*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (101*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (85*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
   S[2, Infinity]^2*((8447*S[-1, Infinity]^4)/6720 - 
     (1097*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/48 + (795*S[-5, -1, Infinity])/56 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (98880*S[-7, -1, Infinity] + 56601*S[5, 3, Infinity] + 
     157440*S[-5, -1, -1, -1, Infinity] - 117120*S[-5, -1, 1, 1, Infinity] - 
     62720*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((751*S[-1, Infinity]^5)/3360 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (8807*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (183*S[-1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, -2, 1, 2, -1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/576 - 
   (513*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (363901*S[2, Infinity]^4)/78400 + ((-235*S[-1, Infinity]^2)/128 + 
     (2787*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((67*S[-1, Infinity]*S[2, Infinity])/64 - (290013*S[3, Infinity])/7168)*
    S[5, Infinity] + (138897*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (85*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/28 + 
   S[2, Infinity]^2*((509*S[-1, Infinity]^4)/420 - 
     (41*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/48 + (921*S[-5, -1, Infinity])/28 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-306624*S[-7, -1, Infinity] - 32877*S[5, 3, Infinity] + 
     23808*S[-5, -1, -1, -1, Infinity] - 104448*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[3, Infinity]*((1667*S[-1, Infinity]^5)/6720 + 
     (331*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (5167*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (204*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (76819*S[2, Infinity]^4)/78400 + ((-205*S[-1, Infinity]^2)/896 - 
     (1933*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/96 + (559*S[-1, Infinity]*S[2, Infinity])/224 + 
     (2327*S[3, Infinity])/896)*S[5, Infinity] + 
   (68219*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 34*S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((-563*S[-1, Infinity]^4)/6720 - 
     (67*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - S[-5, -1, Infinity]/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (12848*S[-7, -1, Infinity] + 1881*S[5, 3, Infinity] + 
     2176*S[-5, -1, -1, -1, Infinity] + 64*S[-5, -1, 1, 1, Infinity] - 
     1344*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((93*S[-1, Infinity]^5)/2240 - 
     (209*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6449*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 1, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/1152 + (763*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (37797*S[2, Infinity]^4)/9800 + ((-1361*S[-1, Infinity]^2)/896 - 
     (9153*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/96 + (16391*S[-1, Infinity]*S[2, Infinity])/
      448 + (45555*S[3, Infinity])/3584)*S[5, Infinity] + 
   (68219*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (173*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 34*S[5, -1, -1, Infinity]))/14 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-3449*S[-1, Infinity]^4)/6720 + 
     (719*S[-1, 1, 1, 1, Infinity])/280) + 
   (137472*S[-7, -1, Infinity] + 39903*S[5, 3, Infinity] + 
     43776*S[-5, -1, -1, -1, Infinity] - 7936*S[-5, -1, 1, 1, Infinity] - 
     1792*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-151*S[-1, Infinity]^5)/6720 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (12017*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (163*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/480 - (4*S[-5, -1, Infinity])/7 - 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -2, 1, 1, 1, 2, Infinity] -> -S[-1, Infinity]^8/384 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (2937*S[2, Infinity]^4)/56000 + ((-19*S[-1, Infinity]^2)/32 - 
     (101*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-63*S[-1, Infinity]*S[2, Infinity])/64 + (3561*S[3, Infinity])/1024)*
    S[5, Infinity] + (1231*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/4 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/960 - 
     (13*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-27200*S[-7, -1, Infinity] + 1261*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/320 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (1057*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/288 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -2, 1, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/1152 - 
   (41*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (90579*S[2, Infinity]^4)/
    112000 + ((-29*S[-1, Infinity]^2)/128 + (199*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-303*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2147*S[3, Infinity])/512)*S[5, Infinity] + 
   (1231*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/4 + 
   S[2, Infinity]^2*((259*S[-1, Infinity]^4)/960 - 
     (79*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (6400*S[-7, -1, Infinity] - 2387*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/960 + 
     (35*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (691*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
    ((-47*S[-1, Infinity]^6)/1440 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-4*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])/
      2), S[-1, -2, 1, 1, -1, 2, Infinity] -> 
  (-223*S[-1, Infinity]^8)/20160 - (1241*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2120337*S[2, Infinity]^4)/196000 + 
   ((-883*S[-1, Infinity]^2)/1792 - (27085*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-837*S[-1, Infinity]^3)/128 + 
     (53297*S[-1, Infinity]*S[2, Infinity])/896 + (53493*S[3, Infinity])/
      7168)*S[5, Infinity] + (190961*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (893*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-485*S[-1, Infinity]^4)/672 - 
     (457*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-335*S[-1, Infinity]^5)/1344 + 
     (171*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (124727*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (275*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((157*S[-1, Infinity]^6)/1440 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-3915*S[-5, -1, Infinity] - 308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 108*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (9801920*S[-7, -1, Infinity] + 1460537*S[5, 3, Infinity] + 
     935680*S[-5, -1, -1, -1, Infinity] + 838400*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, Infinity]^2 - 5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, 1, 1, -1, -2, Infinity] -> 
  (-89*S[-1, Infinity]^8)/13440 + (4393*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1679131*S[2, Infinity]^4)/392000 + 
   ((803*S[-1, Infinity]^2)/896 - (7775*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-837*S[-1, Infinity]^3)/128 + 
     (34079*S[-1, Infinity]*S[2, Infinity])/896 + (134619*S[3, Infinity])/
      7168)*S[5, Infinity] + (190961*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1171*S[-1, Infinity]^4)/6720 - 
     (999*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-137*S[-1, Infinity]^5)/1120 + 
     (565*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (16301*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1347*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-165*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((149*S[-1, Infinity]^6)/1440 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2705*S[-5, -1, Infinity] + 392*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 108*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (5800000*S[-7, -1, Infinity] + 901283*S[5, 3, Infinity] + 
     592640*S[-5, -1, -1, -1, Infinity] + 518400*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, 1, 1, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/192 + (1583*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1328731*S[2, Infinity]^4)/784000 + 
   ((3953*S[-1, Infinity]^2)/896 - (649*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/32 + 
     (33*S[-1, Infinity]*S[2, Infinity])/56 + (119051*S[3, Infinity])/7168)*
    S[5, Infinity] - (10639*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (205*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (5*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/280 - 
     (3*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (1140800*S[-7, -1, Infinity] + 138899*S[5, 3, Infinity] + 
     19200*S[-5, -1, -1, -1, Infinity] + 249600*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-1277*S[-1, Infinity]^5)/6720 + 
     (355*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (26667*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (481*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 - (265*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -2, 1, 1, -2, -1, Infinity] -> (11*S[-1, Infinity]^8)/1152 - 
   (535*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (139101*S[2, Infinity]^4)/56000 + ((1921*S[-1, Infinity]^2)/448 + 
     (95*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/32 - (8037*S[-1, Infinity]*S[2, Infinity])/448 + 
     (7771*S[3, Infinity])/512)*S[5, Infinity] - 
   (10639*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (6*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (5*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    14 - (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-331*S[-1, Infinity]^4)/960 + 
     (61*S[-1, 1, 1, 1, Infinity])/40) + 
   (-2240*S[-7, -1, Infinity] - 6551*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] + 
     14080*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/480 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (1137*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (101*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - (19*S[-5, -1, Infinity])/2 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -2, 1, -1, 2, 1, Infinity] -> (-173*S[-1, Infinity]^8)/20160 + 
   (11787*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (7327483*S[2, Infinity]^4)/784000 + 
   ((1369*S[-1, Infinity]^2)/128 - (71957*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3379*S[-1, Infinity]^3)/64 + 
     (17223*S[-1, Infinity]*S[2, Infinity])/128 + (7831*S[3, Infinity])/112)*
    S[5, Infinity] + (119155*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((225*S[-1, Infinity]^4)/224 - 
     (381*S[-1, 1, 1, 1, Infinity])/28) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-277*S[-1, Infinity]^5)/448 + 
     (467*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (2599*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (4785*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(-141*S[-5, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-9041*S[-5, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(275*S[-5, 1, 1, Infinity] - 488*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (2724320*S[-7, -1, Infinity] + 461099*S[5, 3, Infinity] + 
     359360*S[-5, -1, -1, -1, Infinity] + 205120*S[-5, -1, 1, 1, Infinity] - 
     31360*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -2, 1, -1, 2, -1, Infinity] -> 
  (37*S[-1, Infinity]^8)/5040 + (37*S[-1, Infinity]^2*S[2, Infinity]^3)/4 + 
   (123157*S[2, Infinity]^4)/56000 + ((30413*S[-1, Infinity]^2)/1792 - 
     (8725*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-3379*S[-1, Infinity]^3)/64 + (6375*S[-1, Infinity]*S[2, Infinity])/
      896 + (9619*S[3, Infinity])/256)*S[5, Infinity] + 
   (119155*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((267*S[-1, Infinity]^4)/160 - 
     (3*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (380480*S[-7, -1, Infinity] + 88277*S[5, 3, Infinity] + 
     85760*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/320 + 
     (143*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (8549*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (123*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-73*S[-5, -1, Infinity] - 96*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-169*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(275*S[-5, 1, 1, Infinity] - 488*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, -2, 1, -1, 1, 2, Infinity] -> (271*S[-1, Infinity]^8)/20160 - 
   (5541*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (4303443*S[2, Infinity]^4)/196000 + 
   ((-4721*S[-1, Infinity]^2)/1792 + (36717*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1519*S[-1, Infinity]^3)/64 - 
     (38653*S[-1, Infinity]*S[2, Infinity])/224 - (557009*S[3, Infinity])/
      7168)*S[5, Infinity] - (236563*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (2655*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((1069*S[-1, Infinity]^4)/6720 + 
     (4517*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((5989*S[-1, Infinity]^5)/6720 - 
     (1513*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (349913*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (788*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (10497*S[-5, -1, Infinity] + 308*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-146*S[-5, 1, 1, Infinity] + 
      197*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-24426560*S[-7, -1, Infinity] - 3892443*S[5, 3, Infinity] - 
     2650880*S[-5, -1, -1, -1, Infinity] - 
     2187520*S[-5, -1, 1, 1, Infinity] + 179200*S[-1, 1, 1, 1, Infinity]^2 + 
     11468800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, 1, -1, 1, -2, Infinity] -> (11*S[-1, Infinity]^8)/10080 - 
   (577*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (179337*S[2, Infinity]^4)/
    19600 + ((-831*S[-1, Infinity]^2)/128 + (19809*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1519*S[-1, Infinity]^3)/64 - 
     (1349*S[-1, Infinity]*S[2, Infinity])/16 - (41497*S[3, Infinity])/896)*
    S[5, Infinity] - (236563*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-451*S[-1, Infinity]^4)/3360 + 
     (941*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1609*S[-1, Infinity]^5)/3360 - 
     (3281*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (13401*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3533*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/18 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (733*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   2*S[-1, Infinity]^2*(-15*S[-5, -1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-146*S[-5, 1, 1, Infinity] + 
      197*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-1329472*S[-7, -1, Infinity] - 210975*S[5, 3, Infinity] - 
     149248*S[-5, -1, -1, -1, Infinity] - 115968*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, -2, 1, -1, -1, 2, Infinity] -> 
  (-83*S[-1, Infinity]^8)/13440 - (1097*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (10227447*S[2, Infinity]^4)/784000 + 
   ((-23007*S[-1, Infinity]^2)/1792 + (106235*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4557*S[-1, Infinity]^3)/128 - 
     (103493*S[-1, Infinity]*S[2, Infinity])/896 - (419693*S[3, Infinity])/
      7168)*S[5, Infinity] - (1253155*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-863*S[-1, Infinity]^4)/2240 + 
     (2239*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((2813*S[-1, Infinity]^5)/3360 - 
     (407*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (52093*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (5031*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/480 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (8027*S[-5, -1, Infinity] - 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(1229*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (3*S[-1, Infinity]*(178*S[-5, 1, 1, Infinity] - 
      165*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-18180160*S[-7, -1, Infinity] - 2823533*S[5, 3, Infinity] - 
     1967360*S[-5, -1, -1, -1, Infinity] - 
     1580800*S[-5, -1, 1, 1, Infinity] - 53760*S[-1, 1, 1, 1, Infinity]^2 + 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, 1, -1, -1, -2, Infinity] -> (59*S[-1, Infinity]^8)/3360 - 
   (10727*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (28112961*S[2, Infinity]^4)/784000 + 
   ((-15009*S[-1, Infinity]^2)/1792 + (111577*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((4557*S[-1, Infinity]^3)/128 - 
     (235901*S[-1, Infinity]*S[2, Infinity])/896 - (1014557*S[3, Infinity])/
      7168)*S[5, Infinity] - (1253155*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (4147*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((193*S[-1, Infinity]^4)/280 + 
     (3011*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((271*S[-1, Infinity]^5)/168 - 
     (1683*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (566621*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (10245*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/160 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (16643*S[-5, -1, Infinity] + 588*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]*(178*S[-5, 1, 1, Infinity] - 
      165*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-37418560*S[-7, -1, Infinity] - 6003629*S[5, 3, Infinity] - 
     3941120*S[-5, -1, -1, -1, Infinity] - 
     3531520*S[-5, -1, 1, 1, Infinity] + 215040*S[-1, 1, 1, 1, Infinity]^2 + 
     17203200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, 1, -1, -2, 1, Infinity] -> (47*S[-1, Infinity]^8)/8064 + 
   (4759*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (319107*S[2, Infinity]^4)/39200 + ((20203*S[-1, Infinity]^2)/1792 - 
     (66837*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-12307*S[-1, Infinity]^3)/384 + (36219*S[-1, Infinity]*S[2, Infinity])/
      896 + (429399*S[3, Infinity])/7168)*S[5, Infinity] + 
   (229273*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((727*S[-1, Infinity]^4)/1344 - 
     (237*S[-1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1091*S[-1, Infinity]^5)/2240 + 
     (563*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (136471*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (687*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-151*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3847*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-157*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(211*S[-5, 1, 1, Infinity] - 258*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (1784256*S[-7, -1, Infinity] + 328915*S[5, 3, Infinity] + 
     225536*S[-5, -1, -1, -1, Infinity] + 175872*S[-5, -1, 1, 1, Infinity] + 
     32256*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -2, 1, -1, -2, -1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/5040 + (2057*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (224547*S[2, Infinity]^4)/11200 + 
   ((3965*S[-1, Infinity]^2)/896 - (13941*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-12307*S[-1, Infinity]^3)/384 + 
     (7089*S[-1, Infinity]*S[2, Infinity])/28 + (76689*S[3, Infinity])/512)*
    S[5, Infinity] + (229273*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (1857*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-77*S[-1, Infinity]^4)/240 - 
     (73*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/8 + 
     (445*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (122131*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1245*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/144 - (455*S[-5, -1, Infinity])/
      2 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(211*S[-5, 1, 1, Infinity] - 258*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (420288*S[-7, -1, Infinity] + 71567*S[5, 3, Infinity] + 
     52480*S[-5, -1, -1, -1, Infinity] + 36096*S[-5, -1, 1, 1, Infinity] + 
     2048*S[-1, 1, 1, 1, Infinity]^2 - 163840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[-1, -2, 1, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/576 + (299*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (380243*S[2, Infinity]^4)/392000 + 
   ((9*S[-1, Infinity]^2)/128 - (1689*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 + (123*S[-1, Infinity]*S[2, Infinity])/16 + 
     (3363*S[3, Infinity])/3584)*S[5, Infinity] + 
   (1737*S[-1, Infinity]*S[7, Infinity])/896 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-209*S[-1, Infinity]^4)/840 + 
     (103*S[-1, 1, 1, 1, Infinity])/70) + 
   (30480*S[-7, -1, Infinity] + 7827*S[5, 3, Infinity] + 
     10560*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/840 - 
     (81*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (197*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (51*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 + (27*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -2, 1, -2, 1, -1, Infinity] -> 
  (-3081*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (413169*S[2, Infinity]^4)/784000 + 
   ((549*S[-1, Infinity]^2)/448 + (3249*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (9465*S[-1, Infinity]*S[2, Infinity])/448 - (2043*S[3, Infinity])/112)*
    S[5, Infinity] + (1737*S[-1, Infinity]*S[7, Infinity])/896 + 
   (195*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 - (3*(273600*S[-7, -1, Infinity] + 54571*S[5, 3, Infinity] + 
      40960*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity]))/
    17920 + S[2, Infinity]^2*((317*S[-1, Infinity]^4)/2240 + 
     (309*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/32 + (933*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/35 - 
     (6*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (4317*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -2, 1, -2, -1, 1, Infinity] -> -S[-1, Infinity]^8/128 + 
   (133*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (10233*S[2, Infinity]^4)/22400 + ((-1885*S[-1, Infinity]^2)/448 + 
     (45*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((465*S[-1, Infinity]^3)/64 + (4805*S[-1, Infinity]*S[2, Infinity])/448)*
    S[5, Infinity] - (26745*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (5*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-151*S[-1, Infinity]^4)/320 + 
     (3*S[-1, 1, 1, 1, Infinity])/40) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/48 - (5*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (5*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - (15*S[-5, -1, Infinity])/8 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]), 
 S[-1, -2, 1, -2, -1, -1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (753*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (133*S[2, Infinity]^4)/200 - (275*S[-1, Infinity]^2*S[3, Infinity]^2)/56 + 
   ((465*S[-1, Infinity]^3)/64 + (1363*S[-1, Infinity]*S[2, Infinity])/224 - 
     (2079*S[3, Infinity])/256)*S[5, Infinity] - 
   (26745*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (5*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-49*S[-1, Infinity]^4)/48 + 
     S[-1, 1, 1, 1, Infinity]/2) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   4*S[-1, 1, 1, 1, Infinity]^2 + S[3, Infinity]*
    ((29*S[-1, Infinity]^5)/480 - (83*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (63*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/60 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -2, -1, 2, 1, 1, Infinity] -> (73*S[-1, Infinity]^8)/8064 + 
   (6429*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (4329671*S[2, Infinity]^4)/392000 + 
   ((9251*S[-1, Infinity]^2)/448 - (285*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((-7223*S[-1, Infinity]^3)/192 - 
     (3463*S[-1, Infinity]*S[2, Infinity])/896 + (58151*S[3, Infinity])/1792)*
    S[5, Infinity] + (625515*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1597*S[-1, Infinity]^4)/6720 - 
     (573*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1677*S[-1, Infinity]^5)/2240 + 
     (3575*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (34933*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (41*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (899*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-563*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1529*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(673*S[-5, 1, 1, Infinity] - 524*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1310720*S[-7, -1, Infinity] + 185611*S[5, 3, Infinity] + 
     92480*S[-5, -1, -1, -1, Infinity] + 151680*S[-5, -1, 1, 1, Infinity] + 
     33600*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-1, -2, -1, 2, 1, -1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1680 - (1921*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (4002877*S[2, Infinity]^4)/784000 + 
   ((5885*S[-1, Infinity]^2)/256 + (21019*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-7223*S[-1, Infinity]^3)/192 - 
     (4501*S[-1, Infinity]*S[2, Infinity])/32 + (173855*S[3, Infinity])/7168)*
    S[5, Infinity] + (625515*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((953*S[-1, Infinity]^4)/1680 + 
     (129*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-323*S[-1, Infinity]^5)/6720 - (197*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (13469*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (509*S[-5, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(55*S[-5, -1, Infinity] - 
      288*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(673*S[-5, 1, 1, Infinity] - 524*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-5218240*S[-7, -1, Infinity] - 874387*S[5, 3, Infinity] - 
     871680*S[-5, -1, -1, -1, Infinity] - 78080*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, -1, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/112 + (263*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (2202297*S[2, Infinity]^4)/392000 + 
   ((-1663*S[-1, Infinity]^2)/1792 - (22175*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2573*S[-1, Infinity]^3)/192 + 
     (29727*S[-1, Infinity]*S[2, Infinity])/448 + (435437*S[3, Infinity])/
      7168)*S[5, Infinity] - (6375*S[-1, Infinity]*S[7, Infinity])/112 - 
   (13*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity]))/
    14 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-1445*S[-1, Infinity]^4)/672 + 
     (1163*S[-1, 1, 1, 1, Infinity])/140) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1427*S[-1, Infinity]^5)/1680 + 
     (393*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (27543*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1077*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-293*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (3*S[-1, Infinity]^2*(11*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (3667520*S[-7, -1, Infinity] + 320521*S[5, 3, Infinity] + 
     144640*S[-5, -1, -1, -1, Infinity] + 375040*S[-5, -1, 1, 1, Infinity] + 
     716800*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, -1, 2, -1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/2520 + (104*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - 
   (773803*S[2, Infinity]^4)/49000 + 
   ((-269*S[-1, Infinity]^2)/56 - (2305*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((2573*S[-1, Infinity]^3)/192 + 
     (135969*S[-1, Infinity]*S[2, Infinity])/448 + (100943*S[3, Infinity])/
      896)*S[5, Infinity] - (6375*S[-1, Infinity]*S[7, Infinity])/112 - 
   (593*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (13*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 12*S[5, -1, -1, Infinity]))/
    14 - 2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-611*S[-1, Infinity]^4)/168 + 
     (164*S[-1, 1, 1, 1, Infinity])/35) + 
   (16*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3257*S[-1, Infinity]^5)/1680 + 
     (1441*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (119871*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1086*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/36 - (1324*S[-5, -1, Infinity])/7 - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     40*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (776960*S[-7, -1, Infinity] + 123131*S[5, 3, Infinity] + 
     84480*S[-5, -1, -1, -1, Infinity] + 67840*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, -2, -1, 1, 2, 1, Infinity] -> 
  (-223*S[-1, Infinity]^8)/13440 - (13449*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (13403863*S[2, Infinity]^4)/784000 + 
   ((-20441*S[-1, Infinity]^2)/896 + (57219*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((3379*S[-1, Infinity]^3)/64 - 
     (86011*S[-1, Infinity]*S[2, Infinity])/896 - (197735*S[3, Infinity])/
      1792)*S[5, Infinity] - (1546925*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-349*S[-1, Infinity]^4)/2240 + 
     (2097*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((3889*S[-1, Infinity]^5)/3360 - 
     (6035*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (20271*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (7043*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (10249*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (3*S[-1, Infinity]^2*(-905*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-767*S[-5, 1, 1, Infinity] + 
      759*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-10319040*S[-7, -1, Infinity] - 1649951*S[5, 3, Infinity] - 
     1056000*S[-5, -1, -1, -1, Infinity] - 
     1040640*S[-5, -1, 1, 1, Infinity] - 134400*S[-1, 1, 1, 1, Infinity]^2 + 
     4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -2, -1, 1, 2, -1, Infinity] -> (-59*S[-1, Infinity]^8)/1680 - 
   (7747*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (5621983*S[2, Infinity]^4)/784000 + 
   ((-49393*S[-1, Infinity]^2)/1792 + (23679*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((3379*S[-1, Infinity]^3)/64 + 
     (28339*S[-1, Infinity]*S[2, Infinity])/448 - (213439*S[3, Infinity])/
      3584)*S[5, Infinity] - (1546925*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/224 - 
     (597*S[-1, 1, 1, 1, Infinity])/140) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (-1427520*S[-7, -1, Infinity] - 
     219581*S[5, 3, Infinity] - 46080*S[-5, -1, -1, -1, Infinity] - 
     330240*S[-5, -1, 1, 1, Infinity] - 215040*S[-1, 1, 1, 1, Infinity]^2)/
    17920 + S[3, Infinity]*((761*S[-1, Infinity]^5)/1680 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (3621*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (2309*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(115*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (983*S[-5, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-767*S[-5, 1, 1, Infinity] + 
      759*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28, S[-1, -2, -1, 1, 1, 2, Infinity] -> (79*S[-1, Infinity]^8)/40320 + 
   (1381*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4595711*S[2, Infinity]^4)/392000 + 
   ((2851*S[-1, Infinity]^2)/896 - (3413*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-961*S[-1, Infinity]^3)/128 + 
     (16003*S[-1, Infinity]*S[2, Infinity])/224 + (121043*S[3, Infinity])/
      3584)*S[5, Infinity] + (154391*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (269*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-123*S[-1, Infinity]^4)/280 - 
     (603*S[-1, 1, 1, 1, Infinity])/140) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-591*S[-1, Infinity]^5)/1120 + 
     (1493*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (20709*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1703*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-4855*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(157*S[-5, 1, 1, Infinity] - 60*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (5337600*S[-7, -1, Infinity] + 822529*S[5, 3, Infinity] + 
     487680*S[-5, -1, -1, -1, Infinity] + 506880*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, -1, 1, 1, -2, Infinity] -> 
  (59*S[-1, Infinity]^8)/20160 + (1471*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (214*S[2, Infinity]^4)/35 + 
   ((3809*S[-1, Infinity]^2)/896 - (2215*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-961*S[-1, Infinity]^3)/128 + 
     (32209*S[-1, Infinity]*S[2, Infinity])/896 + (23893*S[3, Infinity])/
      1024)*S[5, Infinity] + (154391*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/160 - 
     (41*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-293*S[-1, Infinity]^5)/960 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (82367*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (273*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-113*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8) + 
   (S[-1, Infinity]^2*(-339*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(157*S[-5, 1, 1, Infinity] - 60*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (156352*S[-7, -1, Infinity] + 20503*S[5, 3, Infinity] + 
     12032*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2 - 81920*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-1, -2, -1, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/144 + (1529*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (209021*S[2, Infinity]^4)/98000 + ((-2077*S[-1, Infinity]^2)/1792 - 
     (19869*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/64 + (6591*S[-1, Infinity]*S[2, Infinity])/224 + 
     (26233*S[3, Infinity])/3584)*S[5, Infinity] + 
   (43331*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-10*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((227*S[-1, Infinity]^4)/420 - 
     (104*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (259040*S[-7, -1, Infinity] + 60871*S[5, 3, Infinity] + 
     63360*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/448 + 
     (1937*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (17947*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 - (129*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -1, 1, -1, -2, Infinity] -> -S[-1, Infinity]^8/144 + 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (128063*S[2, Infinity]^4)/
    56000 + ((-967*S[-1, Infinity]^2)/448 - (465*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/64 + 
     (3135*S[-1, Infinity]*S[2, Infinity])/224 - (3077*S[3, Infinity])/512)*
    S[5, Infinity] + (43331*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-10*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/120 - 
     (11*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (7360*S[-7, -1, Infinity] + 2141*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/320 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (793*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 3*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -1, 1, -2, 1, Infinity] -> S[-1, Infinity]^8/504 - 
   (439*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (5137073*S[2, Infinity]^4)/784000 + 
   ((-12827*S[-1, Infinity]^2)/1792 + (59173*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((10075*S[-1, Infinity]^3)/384 - 
     (35507*S[-1, Infinity]*S[2, Infinity])/896 - (274193*S[3, Infinity])/
      7168)*S[5, Infinity] - (54471*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((-779*S[-1, Infinity]^4)/3360 + 
     (499*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((499*S[-1, Infinity]^5)/1680 - 
     (2311*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (109799*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (499*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(263*S[-5, -1, Infinity] + 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (2927*S[-5, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-155*S[-5, 1, 1, Infinity] + 
      230*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-7751360*S[-7, -1, Infinity] - 1439897*S[5, 3, Infinity] - 
     1045760*S[-5, -1, -1, -1, Infinity] - 638720*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, -1, 1, -2, -1, Infinity] -> (4*S[-1, Infinity]^8)/315 - 
   (1513*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (3443001*S[2, Infinity]^4)/196000 + 
   ((125*S[-1, Infinity]^2)/128 + (99227*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((10075*S[-1, Infinity]^3)/384 - 
     (17185*S[-1, Infinity]*S[2, Infinity])/64 - (31771*S[3, Infinity])/224)*
    S[5, Infinity] - (54471*S[-1, Infinity]*S[7, Infinity])/448 + 
   (255*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((104*S[-1, Infinity]^4)/105 + 
     (947*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((1679*S[-1, Infinity]^5)/1344 - (4355*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (3481*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     (8395*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/18 + (3105*S[-5, -1, Infinity])/14 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-155*S[-5, 1, 1, Infinity] + 
      230*S[5, -1, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-14740160*S[-7, -1, Infinity] - 2525023*S[5, 3, Infinity] - 
     1888000*S[-5, -1, -1, -1, Infinity] - 
     1212160*S[-5, -1, 1, 1, Infinity] + 5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, -1, -1, 2, 1, Infinity] -> 
  (-59*S[-1, Infinity]^8)/8064 - (695*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (11778839*S[2, Infinity]^4)/784000 + 
   ((-2227*S[-1, Infinity]^2)/128 + (51139*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((9145*S[-1, Infinity]^3)/192 - 
     (1029*S[-1, Infinity]*S[2, Infinity])/16 - (283751*S[3, Infinity])/3584)*
    S[5, Infinity] - (1506479*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-983*S[-1, Infinity]^4)/2240 + 
     (1619*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((453*S[-1, Infinity]^5)/560 - 
     (613*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (7677*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (592*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 - 
   2*S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((137*S[-1, Infinity]^6)/1440 - (7*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (3047*S[-5, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(-655*S[-5, 1, 1, Infinity] + 
      759*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-7288640*S[-7, -1, Infinity] - 1265363*S[5, 3, Infinity] - 
     846080*S[-5, -1, -1, -1, Infinity] - 704000*S[-5, -1, 1, 1, Infinity] - 
     116480*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, -1, -1, 2, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/2520 - (31077*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (4243139*S[2, Infinity]^4)/98000 + 
   ((-461*S[-1, Infinity]^2)/448 + (96479*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((9145*S[-1, Infinity]^3)/192 - 
     (456207*S[-1, Infinity]*S[2, Infinity])/896 - (564169*S[3, Infinity])/
      1792)*S[5, Infinity] - (1506479*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (3431*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((481*S[-1, Infinity]^4)/140 + 
     (176*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((3119*S[-1, Infinity]^5)/1120 - (16859*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (487419*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (9007*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-167*S[-1, Infinity]^6)/720 + (3384*S[-5, -1, Infinity])/
      7 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-655*S[-5, 1, 1, Infinity] + 
      759*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-1862720*S[-7, -1, Infinity] - 312959*S[5, 3, Infinity] - 
     222080*S[-5, -1, -1, -1, Infinity] - 172160*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-1, -2, -1, -1, 1, 2, Infinity] -> 
  (319*S[-1, Infinity]^8)/40320 + (3991*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (1249371*S[2, Infinity]^4)/98000 + 
   ((11423*S[-1, Infinity]^2)/896 - (45151*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-4371*S[-1, Infinity]^3)/128 + 
     (85797*S[-1, Infinity]*S[2, Infinity])/896 + (135567*S[3, Infinity])/
      3584)*S[5, Infinity] + (627217*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1559*S[-1, Infinity]^4)/1344 - 
     (369*S[-1, 1, 1, 1, Infinity])/56) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-97*S[-1, Infinity]^5)/140 + 
     (2279*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (5375*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (3991*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-2171*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/160 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-5965*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(509*S[-5, 1, 1, Infinity] - 478*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (7653440*S[-7, -1, Infinity] + 1198241*S[5, 3, Infinity] + 
     832000*S[-5, -1, -1, -1, Infinity] + 565760*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2 - 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, -1, -1, 1, -2, Infinity] -> 
  (-107*S[-1, Infinity]^8)/10080 + (3323*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (6681921*S[2, Infinity]^4)/196000 + 
   ((11527*S[-1, Infinity]^2)/1792 - (230099*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-4371*S[-1, Infinity]^3)/128 + 
     (253629*S[-1, Infinity]*S[2, Infinity])/896 + (1046223*S[3, Infinity])/
      7168)*S[5, Infinity] + (627217*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (4229*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-3253*S[-1, Infinity]^4)/3360 - 
     (2739*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-1903*S[-1, Infinity]^5)/1120 + 
     (10879*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (583823*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (10753*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/480 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-8495*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(509*S[-5, 1, 1, Infinity] - 478*S[5, -1, -1, Infinity] - 
      2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (38296000*S[-7, -1, Infinity] + 6141391*S[5, 3, Infinity] + 
     4110080*S[-5, -1, -1, -1, Infinity] + 
     3577600*S[-5, -1, 1, 1, Infinity] - 71680*S[-1, 1, 1, 1, Infinity]^2 - 
     17203200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-1, -2, -1, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/105 + 
   (9117*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4185063*S[2, Infinity]^4)/98000 + 
   ((591*S[-1, Infinity]^2)/112 - (78723*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]^3)/16 + 
     (348165*S[-1, Infinity]*S[2, Infinity])/896 + (21825*S[3, Infinity])/
      112)*S[5, Infinity] + (29003*S[-1, Infinity]*S[7, Infinity])/112 - 
   (718*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/56 - 
     (904*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-1787*S[-1, Infinity]^5)/840 + (13141*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (24103*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (1787*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((9*S[-1, Infinity]^6)/80 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2*(-1401*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (2*S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 94*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3210880*S[-7, -1, Infinity] + 519831*S[5, 3, Infinity] + 
     355840*S[-5, -1, -1, -1, Infinity] + 289280*S[-5, -1, 1, 1, Infinity] - 
     1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2240, 
 S[-1, -2, -1, -1, -1, -2, Infinity] -> S[-1, Infinity]^8/210 + 
   (5561*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (50277*S[2, Infinity]^4)/2800 + ((14377*S[-1, Infinity]^2)/896 - 
     (9741*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-775*S[-1, Infinity]^3)/16 + (61431*S[-1, Infinity]*S[2, Infinity])/
      448 + (17727*S[3, Infinity])/256)*S[5, Infinity] + 
   (29003*S[-1, Infinity]*S[7, Infinity])/112 + 
   S[2, Infinity]^2*((15*S[-1, Infinity]^4)/16 - 
     (21*S[-1, 1, 1, 1, Infinity])/2) + S[3, Infinity]*
    ((-293*S[-1, Infinity]^5)/320 + (259*S[-1, Infinity]^3*S[2, Infinity])/
      32 + (20119*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (879*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/360 - (331*S[-5, -1, Infinity])/
      2 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-1495*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (2*S[-1, Infinity]*(81*S[-5, 1, 1, Infinity] - 94*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (326720*S[-7, -1, Infinity] + 50229*S[5, 3, Infinity] + 
     35072*S[-5, -1, -1, -1, Infinity] + 26880*S[-5, -1, 1, 1, Infinity] - 
     163840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/512, 
 S[-1, -2, -1, -1, -2, 1, Infinity] -> (17*S[-1, Infinity]^8)/2520 - 
   (5629*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (600679*S[2, Infinity]^4)/28000 + ((-11233*S[-1, Infinity]^2)/448 + 
     (21579*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/2 - (252279*S[-1, Infinity]*S[2, Infinity])/896 - 
     (189691*S[3, Infinity])/1024)*S[5, Infinity] - 
   (30223*S[-1, Infinity]*S[7, Infinity])/56 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-931*S[-1, Infinity]^4)/480 + 
     (511*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((241*S[-1, Infinity]^5)/160 - (1765*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (639031*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (773*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/80 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (1381*S[-5, -1, Infinity] - 
       96*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(6185*S[-5, -1, Infinity] + 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (4*S[-1, Infinity]*(71*S[-5, 1, 1, Infinity] - 
      125*S[5, -1, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (-6473920*S[-7, -1, Infinity] - 1115999*S[5, 3, Infinity] - 
     848640*S[-5, -1, -1, -1, Infinity] - 510720*S[-5, -1, 1, 1, Infinity] + 
     40960*S[-1, 1, 1, 1, Infinity]^2 + 2457600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, -2, -1, -1, -2, -1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/2520 - (4577*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (4937*S[2, Infinity]^4)/1000 + 
   ((-17995*S[-1, Infinity]^2)/448 + (2211*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/2 + 
     (76623*S[-1, Infinity]*S[2, Infinity])/896 + (6367*S[3, Infinity])/512)*
    S[5, Infinity] - (30223*S[-1, Infinity]*S[7, Infinity])/56 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-317*S[-1, Infinity]^4)/60 + 
     (16*S[-1, 1, 1, 1, Infinity])/5) + 
   (-7360*S[-7, -1, Infinity] - 2141*S[5, 3, Infinity] - 
     2880*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    ((-79*S[-1, Infinity]^5)/320 - (115*S[-1, Infinity]^3*S[2, Infinity])/
      24 + (3769*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (137*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/48 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (33*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - 2*(19*S[-5, -1, Infinity] - 
       24*S[-1, 1, 1, 1, 1, 1, Infinity])) + 
   (12*S[-1, Infinity]^2*(19*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (4*S[-1, Infinity]*(71*S[-5, 1, 1, Infinity] - 
      125*S[5, -1, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7, 
 S[-1, -2, -1, -2, 1, 1, Infinity] -> (101*S[-1, Infinity]^8)/8064 + 
   (85*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (2776953*S[2, Infinity]^4)/
    784000 + ((1517*S[-1, Infinity]^2)/896 - (12123*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 + 
     (9827*S[-1, Infinity]*S[2, Infinity])/224 - (15949*S[3, Infinity])/7168)*
    S[5, Infinity] + (31133*S[-1, Infinity]*S[7, Infinity])/512 - 
   (19*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((1023*S[-1, Infinity]^4)/2240 + 
     (1201*S[-1, 1, 1, 1, Infinity])/280) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/210 + 
     (1165*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (63361*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (173*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/288 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (473*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(129*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (1965760*S[-7, -1, Infinity] + 351683*S[5, 3, Infinity] + 
     567040*S[-5, -1, -1, -1, Infinity] - 280320*S[-5, -1, 1, 1, Infinity] + 
     197120*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, -1, -2, 1, -1, Infinity] -> 
  (-113*S[-1, Infinity]^8)/10080 + (6227*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1972687*S[2, Infinity]^4)/112000 + 
   ((-935*S[-1, Infinity]^2)/256 - (17975*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 + 
     (11713*S[-1, Infinity]*S[2, Infinity])/64 + (62609*S[3, Infinity])/1024)*
    S[5, Infinity] + (31133*S[-1, Infinity]*S[7, Infinity])/512 - 
   (289*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-95*S[-1, Infinity]^4)/96 - 
     (231*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-161*S[-1, Infinity]^5)/192 + 
     (263*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (8891*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (765*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/144 - (665*S[-5, -1, Infinity])/4 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] - 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (3064640*S[-7, -1, Infinity] + 482333*S[5, 3, Infinity] + 
     326400*S[-5, -1, -1, -1, Infinity] + 275200*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-1, -2, -1, -2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/2016 + (1677*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2129553*S[2, Infinity]^4)/196000 + 
   ((45905*S[-1, Infinity]^2)/1792 - (31407*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/8 - 
     (85611*S[-1, Infinity]*S[2, Infinity])/896 + (59385*S[3, Infinity])/
      7168)*S[5, Infinity] + (147121*S[-1, Infinity]*S[7, Infinity])/448 + 
   S[2, Infinity]^2*((2573*S[-1, Infinity]^4)/1120 - 
     (2217*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((1387*S[-1, Infinity]^5)/6720 - 
     (89*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (12839*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (1413*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^2*(-405*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2677*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (4*S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (8667840*S[-7, -1, Infinity] + 1216743*S[5, 3, Infinity] + 
     602880*S[-5, -1, -1, -1, Infinity] + 1063680*S[-5, -1, 1, 1, Infinity] - 
     501760*S[-1, 1, 1, 1, Infinity]^2 - 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, -1, -2, -1, -1, Infinity] -> 
  (323*S[-1, Infinity]^8)/10080 - (601*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1410793*S[2, Infinity]^4)/196000 + 
   ((3793*S[-1, Infinity]^2)/128 + (15063*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/8 - 
     (1401*S[-1, Infinity]*S[2, Infinity])/8 - (327219*S[3, Infinity])/7168)*
    S[5, Infinity] + (147121*S[-1, Infinity]*S[7, Infinity])/448 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((2519*S[-1, Infinity]^4)/672 + 
     (509*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((199*S[-1, Infinity]^5)/420 - 
     (99*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (5279*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (831*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/24 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 
     (3*(953*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] - 
      288*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (4*S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-8667840*S[-7, -1, Infinity] - 1216743*S[5, 3, Infinity] - 
     602880*S[-5, -1, -1, -1, Infinity] - 1063680*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, -2, 1, 1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^8)/8064 - (969*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (206221*S[2, Infinity]^4)/98000 + 
   ((-1419*S[-1, Infinity]^2)/448 + (1129*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/96 + 
     (1079*S[-1, Infinity]*S[2, Infinity])/112 - (67185*S[3, Infinity])/7168)*
    S[5, Infinity] - (193083*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1217*S[-1, Infinity]^4)/6720 - 
     (27*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/1680 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (13203*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (471*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2*(64*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (3*S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-81*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1195840*S[-7, -1, Infinity] - 143837*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] - 229120*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, -2, 1, 1, -1, Infinity] -> 
  (-11*S[-1, Infinity]^8)/3360 + (59*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (1052003*S[2, Infinity]^4)/784000 + 
   ((-5879*S[-1, Infinity]^2)/1792 - (5575*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/96 + 
     (11939*S[-1, Infinity]*S[2, Infinity])/448 - (25847*S[3, Infinity])/
      3584)*S[5, Infinity] - (193083*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((141*S[-1, Infinity]^4)/1120 + 
     (19*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/672 + 
     (85*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5953*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (30*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-17*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-81*S[-5, 1, 1, Infinity] + 73*S[5, -1, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (388800*S[-7, -1, Infinity] + 84059*S[5, 3, Infinity] + 
     92160*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] - 
     358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-1, -2, -2, 1, -1, 1, Infinity] -> (7*S[-1, Infinity]^8)/1440 - 
   (377*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (54857*S[2, Infinity]^4)/31360 + ((3229*S[-1, Infinity]^2)/896 + 
     (4439*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-341*S[-1, Infinity]^3)/128 - (37453*S[-1, Infinity]*S[2, Infinity])/
      896 - (47837*S[3, Infinity])/7168)*S[5, Infinity] + 
   (14067*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((149*S[-1, Infinity]^4)/672 + 
     (39*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/210 - 
     (311*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (49459*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (123*S[-1, 1, 1, 1, 1, Infinity])/14) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (S[-1, Infinity]^2*(23*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-593*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-231104*S[-7, -1, Infinity] - 75701*S[5, 3, Infinity] - 
     90368*S[-5, -1, -1, -1, Infinity] + 43776*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/7168, 
 S[-1, -2, -2, 1, -1, -1, Infinity] -> (-19*S[-1, Infinity]^8)/5040 - 
   (677*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (9249*S[2, Infinity]^4)/12250 + ((669*S[-1, Infinity]^2)/128 + 
     (20611*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-341*S[-1, Infinity]^3)/128 - (5699*S[-1, Infinity]*S[2, Infinity])/64 - 
     (19483*S[3, Infinity])/896)*S[5, Infinity] + 
   (14067*S[-1, Infinity]*S[7, Infinity])/1792 + 
   11*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/84 - 
     (277*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((277*S[-1, Infinity]^5)/1120 - 
     (2453*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3663*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1277*S[-1, 1, 1, 1, 1, Infinity])/56) - 2*S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/15 + 
     (607*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2424000*S[-7, -1, Infinity] - 477833*S[5, 3, Infinity] - 
     444160*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -2, -2, -1, 1, 1, Infinity] -> 
  (-101*S[-1, Infinity]^8)/4480 + (387*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (367639*S[2, Infinity]^4)/196000 + 
   ((349*S[-1, Infinity]^2)/1792 - (11233*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2077*S[-1, Infinity]^3)/384 - 
     (1751*S[-1, Infinity]*S[2, Infinity])/896 + (98107*S[3, Infinity])/3584)*
    S[5, Infinity] + (48379*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-1189*S[-1, Infinity]^4)/2240 - 
     (227*S[-1, 1, 1, 1, Infinity])/280) + 
   (23*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (679360*S[-7, -1, Infinity] + 173717*S[5, 3, Infinity] + 
     81920*S[-5, -1, -1, -1, Infinity] + 133120*S[-5, -1, 1, 1, Infinity] - 
     134400*S[-1, 1, 1, 1, Infinity]^2)/17920 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((199*S[-1, Infinity]^5)/1344 - 
     (79*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2829*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (41*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (55*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-81*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/480 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1105*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14, 
 S[-1, -2, -2, -1, 1, -1, Infinity] -> (-37*S[-1, Infinity]^8)/2520 + 
   (771*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (3134007*S[2, Infinity]^4)/784000 + 
   ((-2141*S[-1, Infinity]^2)/1792 - (15581*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2077*S[-1, Infinity]^3)/384 + 
     (24907*S[-1, Infinity]*S[2, Infinity])/896 + (224947*S[3, Infinity])/
      7168)*S[5, Infinity] + (48379*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (325*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-1387*S[-1, Infinity]^4)/3360 - 
     (433*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((683*S[-1, Infinity]^5)/6720 - 
     (247*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (6689*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (577*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/144 + (163*S[-5, -1, Infinity])/
      28 - 6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (70080*S[-7, -1, Infinity] + 270247*S[5, 3, Infinity] + 
     395520*S[-5, -1, -1, -1, Infinity] - 162560*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-1, -2, -2, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/112 + (1689*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (142623*S[2, Infinity]^4)/14000 + ((-3745*S[-1, Infinity]^2)/256 - 
     (7551*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (16391*S[-1, Infinity]*S[2, Infinity])/128 + 
     (7153*S[3, Infinity])/512)*S[5, Infinity] - 
   (1511*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/120 + 
     (29*S[-1, 1, 1, 1, Infinity])/10) + 
   (7360*S[-7, -1, Infinity] + 2141*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] + 
     320*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    (S[-1, Infinity]^5/160 + (97*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (3317*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (39*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(19*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-49*S[-5, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -2, -1, -1, -1, Infinity] -> (-53*S[-1, Infinity]^8)/1680 + 
   (2517*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (148643*S[2, Infinity]^4)/39200 + ((-5135*S[-1, Infinity]^2)/448 - 
     (1335*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (622*S[-1, Infinity]*S[2, Infinity])/7 + 
     (43199*S[3, Infinity])/7168)*S[5, Infinity] - 
   (1511*S[-1, Infinity]*S[7, Infinity])/64 + 
   S[2, Infinity]^2*((-281*S[-1, Infinity]^4)/3360 - 
     (447*S[-1, 1, 1, 1, Infinity])/140) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*((211*S[-1, Infinity]^5)/1680 + 
     (797*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (80593*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]/
      14) + (S[-1, Infinity]^2*(-491*S[-5, -1, Infinity] + 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-4*S[-1, Infinity]^6)/45 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-467*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (917184*S[-7, -1, Infinity] + 207271*S[5, 3, Infinity] + 
     211712*S[-5, -1, -1, -1, Infinity] - 256*S[-5, -1, 1, 1, Infinity] - 
     57344*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-1, -3, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (4937*S[2, Infinity]^4)/56000 + ((69*S[-1, Infinity]^2)/64 + 
     (69*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 + (15*S[-1, Infinity]*S[2, Infinity])/32 - 
     (203*S[3, Infinity])/128)*S[5, Infinity] - 
   (1919*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/240 - S[-1, 1, 1, 1, Infinity]/
      10) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/8 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (211*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/18 - S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, 1, 
      Infinity]) - (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
      2*S[5, -1, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-160*S[-7, -1, Infinity] - 289*S[5, 3, Infinity] - 
     320*S[-5, -1, -1, -1, Infinity] + 160*S[-5, -1, 1, 1, Infinity] + 
     960*S[-1, 1, 1, 1, Infinity]^2 - 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/320, S[-1, -3, 1, 1, 1, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/2240 - (55*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (1394287*S[2, Infinity]^4)/784000 + 
   ((115*S[-1, Infinity]^2)/112 + (67*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 - (1479*S[-1, Infinity]*S[2, Infinity])/224 - 
     (7521*S[3, Infinity])/3584)*S[5, Infinity] - 
   (1919*S[-1, Infinity]*S[7, Infinity])/256 + 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((27*S[-1, Infinity]^4)/448 + 
     (319*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-143*S[-1, Infinity]^5)/1680 - 
     (27*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (549*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 - (5*S[-5, -1, Infinity])/56 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-146560*S[-7, -1, Infinity] - 46981*S[5, 3, Infinity] - 
     51200*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -3, 1, 1, -1, 1, Infinity] -> 
  (323*S[-1, Infinity]^8)/40320 + (467*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1676019*S[2, Infinity]^4)/784000 + 
   ((-463*S[-1, Infinity]^2)/448 + (1997*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (7233*S[-1, Infinity]*S[2, Infinity])/448 - (6845*S[3, Infinity])/3584)*
    S[5, Infinity] + (30895*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/6720 + 
     (267*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/560 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (2329*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (183*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^2*(13*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*((-73*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (921*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-1005440*S[-7, -1, Infinity] - 124573*S[5, 3, Infinity] - 
     66560*S[-5, -1, -1, -1, Infinity] - 108160*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 + 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -3, 1, 1, -1, -1, Infinity] -> 
  (61*S[-1, Infinity]^8)/20160 + (297*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (280323*S[2, Infinity]^4)/196000 + 
   ((-1221*S[-1, Infinity]^2)/896 - (5781*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (8411*S[-1, Infinity]*S[2, Infinity])/448 - (7131*S[3, Infinity])/3584)*
    S[5, Infinity] + (30895*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((-281*S[-1, Infinity]^4)/1680 - 
     (16*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-157*S[-1, Infinity]^5)/3360 + 
     (183*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (12029*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (73*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/180 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-643*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-157*S[-5, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 26*S[5, -1, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (863040*S[-7, -1, Infinity] + 132571*S[5, 3, Infinity] + 
     144640*S[-5, -1, -1, -1, Infinity] + 52480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -3, 1, -1, 1, 1, Infinity] -> 
  (-101*S[-1, Infinity]^8)/10080 - (61*S[-1, Infinity]^2*S[2, Infinity]^3)/
    14 + (14041*S[2, Infinity]^4)/16000 + 
   ((-2983*S[-1, Infinity]^2)/448 + (617*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((2015*S[-1, Infinity]^3)/128 - 
     (3497*S[-1, Infinity]*S[2, Infinity])/896 - (15705*S[3, Infinity])/512)*
    S[5, Infinity] - (340889*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-39*S[-1, Infinity]^4)/64 + 
     2*S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*
    ((41*S[-1, Infinity]^5)/240 - (23*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (19633*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (79*S[-1, 1, 1, 1, 1, Infinity])/4) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + S[2, Infinity]*
    ((67*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (123*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(607*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-230*S[-5, 1, 1, Infinity] + 
      211*S[5, -1, -1, Infinity] + 392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-181120*S[-7, -1, Infinity] - 34179*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] - 24960*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2 - 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -3, 1, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/63 - (1679*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (472111*S[2, Infinity]^4)/784000 + 
   ((-14057*S[-1, Infinity]^2)/1792 + (2487*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2015*S[-1, Infinity]^3)/128 + 
     (17975*S[-1, Infinity]*S[2, Infinity])/896 - (84355*S[3, Infinity])/
      3584)*S[5, Infinity] - (340889*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-377*S[-1, Infinity]^4)/672 - 
     (94*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/336 - 
     (337*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2389*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (109*S[-1, 1, 1, 1, 1, Infinity])/28) + S[-1, Infinity]^3*
    S[-1, 1, 1, 1, 1, Infinity] + 
   (3*S[-1, Infinity]^2*(71*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/90 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-377*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-230*S[-5, 1, 1, Infinity] + 
      211*S[5, -1, -1, Infinity] + 392*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (269120*S[-7, -1, Infinity] + 15091*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] + 8320*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-1, -3, 1, -1, -1, 1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/5760 - (1457*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (225959*S[2, Infinity]^4)/784000 + 
   ((2399*S[-1, Infinity]^2)/1792 + (26975*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/48 - 
     (7151*S[-1, Infinity]*S[2, Infinity])/224 - (32737*S[3, Infinity])/1792)*
    S[5, Infinity] - (115793*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((3023*S[-1, Infinity]^4)/6720 + 
     (701*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((283*S[-1, Infinity]^5)/2240 - 
     (173*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (2515*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (193*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2235*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(321*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2072960*S[-7, -1, Infinity] - 299177*S[5, 3, Infinity] - 
     248320*S[-5, -1, -1, -1, Infinity] - 244480*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -3, 1, -1, -1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/2016 - (2487*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (76931*S[2, Infinity]^4)/156800 + 
   ((627*S[-1, Infinity]^2)/224 + (4229*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/48 - 
     (10079*S[-1, Infinity]*S[2, Infinity])/224 - (143443*S[3, Infinity])/
      3584)*S[5, Infinity] - (115793*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (123*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((563*S[-1, Infinity]^4)/1680 + 
     (97*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((1481*S[-1, Infinity]^5)/6720 - (1733*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (4363*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (351*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/120 + (2111*S[-5, -1, Infinity])/
      56 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] - 
      168*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-417472*S[-7, -1, Infinity] - 80489*S[5, 3, Infinity] - 
     63488*S[-5, -1, -1, -1, Infinity] - 41344*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 7168*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, -3, -1, 1, 1, 1, Infinity] -> 
  (197*S[-1, Infinity]^8)/40320 + (857*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (681647*S[2, Infinity]^4)/784000 + 
   ((27*S[-1, Infinity]^2)/448 - (5053*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1519*S[-1, Infinity]^3)/384 + 
     (21339*S[-1, Infinity]*S[2, Infinity])/896 + (81729*S[3, Infinity])/
      3584)*S[5, Infinity] + (86579*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((2113*S[-1, Infinity]^4)/6720 - 
     (87*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/56 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (17103*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (195*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-59*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-363*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-429*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 85*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (865920*S[-7, -1, Infinity] + 195611*S[5, 3, Infinity] + 
     181760*S[-5, -1, -1, -1, Infinity] + 73600*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2 + 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -3, -1, 1, 1, -1, Infinity] -> 
  (139*S[-1, Infinity]^8)/10080 + (55*S[-1, Infinity]^2*S[2, Infinity]^3)/
    16 + (8341*S[2, Infinity]^4)/15680 + 
   ((75*S[-1, Infinity]^2)/256 - (21299*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1519*S[-1, Infinity]^3)/384 + 
     (4799*S[-1, Infinity]*S[2, Infinity])/128 + (78745*S[3, Infinity])/3584)*
    S[5, Infinity] + (86579*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/140 + 
     (13*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/210 + 
     (601*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (571*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (647*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(555*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(-71*S[-5, -1, Infinity] + 
      24*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 85*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (343744*S[-7, -1, Infinity] + 57779*S[5, 3, Infinity] + 
     46848*S[-5, -1, -1, -1, Infinity] + 30208*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2 - 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-1, -3, -1, 1, -1, 1, Infinity] -> 
  (101*S[-1, Infinity]^8)/20160 + (113*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (96077*S[2, Infinity]^4)/28000 + 
   ((7529*S[-1, Infinity]^2)/1792 - (433*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-2821*S[-1, Infinity]^3)/192 - 
     (3163*S[-1, Infinity]*S[2, Infinity])/224 - (685*S[3, Infinity])/64)*
    S[5, Infinity] + (106427*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((119*S[-1, Infinity]^4)/120 - 
     (9*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/480 - 
     (49*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (2447*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (135*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^2*(-285*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(45*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-61440*S[-7, -1, Infinity] + 5259*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 19200*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2 + 51200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -3, -1, 1, -1, -1, Infinity] -> 
  (43*S[-1, Infinity]^8)/20160 + (263*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (109527*S[2, Infinity]^4)/56000 + 
   ((1107*S[-1, Infinity]^2)/448 - (551*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-2821*S[-1, Infinity]^3)/192 - 
     (2425*S[-1, Infinity]*S[2, Infinity])/896 + (3053*S[3, Infinity])/512)*
    S[5, Infinity] + (106427*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((1357*S[-1, Infinity]^4)/960 - 
     (27*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/480 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (179*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/360 + (51*S[-5, -1, Infinity])/8 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(45*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (24960*S[-7, -1, Infinity] + 19177*S[5, 3, Infinity] + 
     28160*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2 + 25600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2560, S[-1, -3, -1, -1, 1, 1, Infinity] -> 
  (31*S[-1, Infinity]^8)/1920 + (1097*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (787471*S[2, Infinity]^4)/784000 + 
   ((627*S[-1, Infinity]^2)/896 - (17029*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (1999*S[-1, Infinity]*S[2, Infinity])/56 + (57283*S[3, Infinity])/1792)*
    S[5, Infinity] + (122869*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-159*S[-1, Infinity]^4)/2240 - 
     (601*S[-1, 1, 1, 1, Infinity])/280) - 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-449*S[-1, Infinity]^5)/1344 + 
     (613*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (38307*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (615*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-187*S[-1, Infinity]^6)/1440 + 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2357*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-257*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(66*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (2342080*S[-7, -1, Infinity] + 430447*S[5, 3, Infinity] + 
     316160*S[-5, -1, -1, -1, Infinity] + 252800*S[-5, -1, 1, 1, Infinity] + 
     134400*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-1, -3, -1, -1, 1, -1, Infinity] -> 
  (23*S[-1, Infinity]^8)/1008 + (6617*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (6867*S[2, Infinity]^4)/8000 + 
   ((-381*S[-1, Infinity]^2)/448 - (1803*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (7625*S[-1, Infinity]*S[2, Infinity])/112 + (15087*S[3, Infinity])/256)*
    S[5, Infinity] + (122869*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (111*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/480 + 
     (99*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/192 + 
     (105*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (29571*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/180 - (219*S[-5, -1, Infinity])/
      4 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(66*S[-5, 1, 1, Infinity] - 137*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (27840*S[-7, -1, Infinity] + 5351*S[5, 3, Infinity] + 
     4320*S[-5, -1, -1, -1, Infinity] + 2640*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2 - 3200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/160, S[-1, -3, -1, -1, -1, 1, Infinity] -> 
  (43*S[-1, Infinity]^8)/5040 + (7141*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (203177*S[2, Infinity]^4)/78400 + 
   ((73*S[-1, Infinity]^2)/112 - (4393*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (35251*S[-1, Infinity]*S[2, Infinity])/896 + (76277*S[3, Infinity])/
      1792)*S[5, Infinity] + (7753*S[-1, Infinity]*S[7, Infinity])/224 - 
   (2*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-177*S[-1, Infinity]^4)/2240 - 
     (137*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-263*S[-1, Infinity]^5)/1680 + 
     (125*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (3303*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (114*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(-169*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-981*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (180416*S[-7, -1, Infinity] + 40193*S[5, 3, Infinity] + 
     35584*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/1792, 
 S[-1, -3, -1, -1, -1, -1, Infinity] -> (53*S[-1, Infinity]^8)/6720 + 
   (1459*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (17447*S[2, Infinity]^4)/392000 + 
   ((25*S[-1, Infinity]^2)/224 - (6009*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (6605*S[-1, Infinity]*S[2, Infinity])/112 + (169565*S[3, Infinity])/
      3584)*S[5, Infinity] + (7753*S[-1, Infinity]*S[7, Infinity])/224 - 
   (2*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/560 - 
     (111*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-26*S[-1, Infinity]^5)/105 + 
     (109*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (12771*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (381*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-1259*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]^2*(263*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (2828160*S[-7, -1, Infinity] + 566653*S[5, 3, Infinity] + 
     468480*S[-5, -1, -1, -1, Infinity] + 243840*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, 2, 1, 1, 1, 1, Infinity] -> (129*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (120613*S[2, Infinity]^4)/196000 + 
   ((215*S[-1, Infinity]^2)/224 - (9*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/64 - (247*S[-1, Infinity]*S[2, Infinity])/112 - 
     (841*S[3, Infinity])/3584)*S[5, Infinity] + 
   (49611*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((43*S[-1, Infinity]^4)/3360 - 
     (43*S[-1, 1, 1, 1, Infinity])/140) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/1680 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (299*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-149*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-43*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (130880*S[-7, -1, Infinity] + 16783*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 13760*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-2, 2, 1, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/3360 - (45*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (193089*S[2, Infinity]^4)/784000 + 
   ((-883*S[-1, Infinity]^2)/1792 + (2909*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 - 
     (3585*S[-1, Infinity]*S[2, Infinity])/896 - (22133*S[3, Infinity])/7168)*
    S[5, Infinity] + S[2, Infinity]^2*(S[-1, Infinity]^4/336 + 
     (121*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((331*S[-1, Infinity]^5)/6720 + (5*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (13369*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (135*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(17*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (113*S[-5, -1, Infinity] + 266*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-429760*S[-7, -1, Infinity] - 118651*S[5, 3, Infinity] - 
     93440*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 2, 1, 1, -1, 1, Infinity] -> 
  (-65*S[-1, Infinity]^8)/8064 + (47*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (148781*S[2, Infinity]^4)/196000 + 
   ((-737*S[-1, Infinity]^2)/1792 + (4831*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/128 - 
     (18153*S[-1, Infinity]*S[2, Infinity])/896 + (88139*S[3, Infinity])/
      7168)*S[5, Infinity] + (223*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-3607*S[-1, Infinity]^4)/6720 - 
     (99*S[-1, 1, 1, 1, Infinity])/56) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((1229*S[-1, Infinity]^5)/6720 - 
     (1565*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (29391*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (193*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((193*S[-1, Infinity]^6)/1440 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 - (9*(61*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (-592960*S[-7, -1, Infinity] - 243889*S[5, 3, Infinity] - 
     285440*S[-5, -1, -1, -1, Infinity] + 240640*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 2, 1, 1, -1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/2520 + (131*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (666093*S[2, Infinity]^4)/784000 + 
   ((433*S[-1, Infinity]^2)/112 + (449*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/128 - (19819*S[-1, Infinity]*S[2, Infinity])/896 + 
     (2585*S[3, Infinity])/224)*S[5, Infinity] - 
   (83873*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-257*S[-1, Infinity]^4)/672 - 
     (423*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((163*S[-1, Infinity]^5)/6720 - 
     (311*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (481*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (157*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/80 - (537*S[-5, -1, Infinity])/56 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(93*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-208800*S[-7, -1, Infinity] - 62953*S[5, 3, Infinity] - 
     79360*S[-5, -1, -1, -1, Infinity] + 50240*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 + 394240*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-2, 2, 1, -1, 1, 1, Infinity] -> 
  (-111*S[-1, Infinity]^8)/4480 - (1361*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (339951*S[2, Infinity]^4)/98000 + 
   ((187*S[-1, Infinity]^2)/896 - (941*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-459*S[-1, Infinity]*S[2, Infinity])/896 - 
     (111*S[3, Infinity])/1792)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1229*S[-1, Infinity]^4)/6720 + 
     (11*S[-1, 1, 1, 1, Infinity])/280) + 
   (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((411*S[-1, Infinity]^5)/2240 - 
     (179*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (3347*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (57*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((179*S[-1, Infinity]^6)/1440 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (3*(-15*S[-5, -1, Infinity] - 
        154*S[-1, 1, 1, 1, 1, 1, Infinity]))/28) + 
   (323200*S[-7, -1, Infinity] + 26031*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 56960*S[-5, -1, 1, 1, Infinity] - 
     188160*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, 2, 1, -1, 1, -1, Infinity] -> 
  (-67*S[-1, Infinity]^8)/1920 - (5657*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1741647*S[2, Infinity]^4)/784000 + 
   ((-12241*S[-1, Infinity]^2)/1792 - (2913*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (829*S[-1, Infinity]*S[2, Infinity])/224 - (156361*S[3, Infinity])/7168)*
    S[5, Infinity] + (36093*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (197*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-221*S[-1, Infinity]^4)/672 - 
     (394*S[-1, 1, 1, 1, Infinity])/35) + 
   (37*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((1231*S[-1, Infinity]^5)/1680 - 
     (839*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (38257*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (101*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((103*S[-1, Infinity]^6)/360 + (843*S[-5, -1, Infinity])/
      56 - 5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-21*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-173120*S[-7, -1, Infinity] + 12147*S[5, 3, Infinity] + 
     124160*S[-5, -1, -1, -1, Infinity] - 240640*S[-5, -1, 1, 1, Infinity] - 
     591360*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 2, 1, -1, -1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/1680 - (811*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (1094897*S[2, Infinity]^4)/392000 + 
   ((-3363*S[-1, Infinity]^2)/224 - (12107*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/128 + 
     (18939*S[-1, Infinity]*S[2, Infinity])/896 - (259625*S[3, Infinity])/
      7168)*S[5, Infinity] + (221297*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((209*S[-1, Infinity]^4)/560 - 
     (361*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((1429*S[-1, Infinity]^5)/2240 - 
     (461*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (43089*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (71*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (803*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (1459*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(261*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-347*S[-5, 1, 1, Infinity] - 
      256*S[5, -1, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 - (3*(-339520*S[-7, -1, Infinity] - 126423*S[5, 3, Infinity] - 
      190720*S[-5, -1, -1, -1, Infinity] + 163840*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2 + 430080*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-2, 2, 1, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/1920 - (107*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (75561*S[2, Infinity]^4)/31360 + ((2035*S[-1, Infinity]^2)/1792 - 
     (15889*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((11997*S[-1, Infinity]*S[2, Infinity])/448 - (24965*S[3, Infinity])/1792)*
    S[5, Infinity] - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((7537*S[-1, Infinity]^4)/6720 + 
     (961*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-2719*S[-1, Infinity]^5)/6720 + 
     (3587*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (24249*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (255*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/40 + 
     (31*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-451*S[-5, -1, Infinity] - 644*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-151*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (33440*S[-7, -1, Infinity] + 5247*S[5, 3, Infinity] + 
     5056*S[-5, -1, -1, -1, Infinity] + 880*S[-5, -1, 1, 1, Infinity] + 
     2016*S[-1, 1, 1, 1, Infinity]^2 - 25088*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/448, S[-2, 2, -1, 1, 1, 1, Infinity] -> 
  (241*S[-1, Infinity]^8)/40320 + (167*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 + (2242913*S[2, Infinity]^4)/392000 + 
   ((-585*S[-1, Infinity]^2)/448 - (2889*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((15735*S[-1, Infinity]*S[2, Infinity])/448 + 
     (35085*S[3, Infinity])/3584)*S[5, Infinity] - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-101*S[-1, Infinity]^4)/2240 + 
     (2459*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/2240 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (24333*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (445*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (137*S[-5, -1, Infinity] + 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-17600*S[-7, -1, Infinity] + 127623*S[5, 3, Infinity] + 
     166400*S[-5, -1, -1, -1, Infinity] - 184320*S[-5, -1, 1, 1, Infinity] + 
     62720*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, 2, -1, 1, 1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^8)/2520 + (129*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (6927147*S[2, Infinity]^4)/784000 + 
   ((-9775*S[-1, Infinity]^2)/1792 - (5455*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 + 
     (1521*S[-1, Infinity]*S[2, Infinity])/56 - (244619*S[3, Infinity])/7168)*
    S[5, Infinity] + (14399*S[-1, Infinity]*S[7, Infinity])/512 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-1783*S[-1, Infinity]^4)/3360 - 
     (51*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((2057*S[-1, Infinity]^5)/6720 - 
     (1609*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (3043*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (202*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/240 + (955*S[-5, -1, Infinity])/
      28 - (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-7*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-1016000*S[-7, -1, Infinity] + 417*S[5, 3, Infinity] + 
     275200*S[-5, -1, -1, -1, Infinity] - 544000*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 2, -1, 1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/840 - (873*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (57887*S[2, Infinity]^4)/9800 + 
   ((-345*S[-1, Infinity]^2)/28 - (5065*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/128 + 
     (23133*S[-1, Infinity]*S[2, Infinity])/896 - (346915*S[3, Infinity])/
      7168)*S[5, Infinity] + (312925*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((1289*S[-1, Infinity]^4)/3360 - 
     (171*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((271*S[-1, Infinity]^5)/420 - 
     (1361*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (35621*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (150*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (509*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(13*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-188*S[-5, 1, 1, Infinity] - 97*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (189376*S[-7, -1, Infinity] + 29763*S[5, 3, Infinity] + 
     85760*S[-5, -1, -1, -1, Infinity] - 67840*S[-5, -1, 1, 1, Infinity] - 
     57344*S[-1, 1, 1, 1, Infinity]^2 - 114688*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, 2, -1, 1, -1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^8)/560 + (51*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (154943*S[2, Infinity]^4)/196000 + 
   ((-7589*S[-1, Infinity]^2)/1792 - (33239*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((44043*S[-1, Infinity]*S[2, Infinity])/896 + 
     (36775*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((1093*S[-1, Infinity]^4)/1120 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((101*S[-1, Infinity]^5)/2240 + 
     (1979*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (18239*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (107*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-61*S[-1, Infinity]^6)/360 + 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (85*S[-5, -1, Infinity] - 
       196*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-53*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (594240*S[-7, -1, Infinity] + 145017*S[5, 3, Infinity] + 
     126720*S[-5, -1, -1, -1, Infinity] - 5760*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 322560*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-2, 2, -1, -1, 1, 1, Infinity] -> 
  (31*S[-1, Infinity]^8)/8064 + (4757*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (901273*S[2, Infinity]^4)/784000 + 
   ((3511*S[-1, Infinity]^2)/896 + (235*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]^3)/384 + 
     (8205*S[-1, Infinity]*S[2, Infinity])/896 + (22075*S[3, Infinity])/1792)*
    S[5, Infinity] - (94755*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((491*S[-1, Infinity]^4)/1344 - 
     (341*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-857*S[-1, Infinity]^5)/6720 + 
     (1109*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (6039*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (101*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-829*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-423*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(176*S[-5, 1, 1, Infinity] + 113*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (37840*S[-7, -1, Infinity] + 1833*S[5, 3, Infinity] - 
     1600*S[-5, -1, -1, -1, Infinity] + 15040*S[-5, -1, 1, 1, Infinity] + 
     1120*S[-1, 1, 1, 1, Infinity]^2 + 53760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[-2, 2, -1, -1, 1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/1680 + (2167*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (767499*S[2, Infinity]^4)/784000 + 
   ((-6977*S[-1, Infinity]^2)/1792 - (4635*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 + 
     (4111*S[-1, Infinity]*S[2, Infinity])/896 + (147845*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((121*S[-1, Infinity]^4)/6720 - 
     (863*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((3167*S[-1, Infinity]^5)/6720 - 
     (533*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (21429*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/288 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (5*(17*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (S[-1, Infinity]^2*(-31*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-105920*S[-7, -1, Infinity] + 56079*S[5, 3, Infinity] - 
     37120*S[-5, -1, -1, -1, Infinity] + 55040*S[-5, -1, 1, 1, Infinity] - 
     215040*S[-1, 1, 1, 1, Infinity]^2 + 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 2, -1, -1, -1, 1, Infinity] -> 
  (5*S[-1, Infinity]^8)/336 + (129*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (3459443*S[2, Infinity]^4)/392000 + 
   ((719*S[-1, Infinity]^2)/1792 + (22709*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/192 - 
     (13645*S[-1, Infinity]*S[2, Infinity])/896 + (1115*S[3, Infinity])/7168)*
    S[5, Infinity] + (167*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/336 + 
     (771*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((697*S[-1, Infinity]^5)/6720 - 
     (431*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (26031*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (501*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (113*S[-5, -1, Infinity] + 462*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-2496960*S[-7, -1, Infinity] - 402159*S[5, 3, Infinity] - 
     213760*S[-5, -1, -1, -1, Infinity] - 288000*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 + 1576960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 2, -1, -1, -1, -1, Infinity] -> 
  (47*S[-1, Infinity]^8)/2520 + (2813*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (42953*S[2, Infinity]^4)/7000 + 
   ((517*S[-1, Infinity]^2)/112 + (281*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 - (485*S[-1, Infinity]*S[2, Infinity])/112 - 
     (435*S[3, Infinity])/128)*S[5, Infinity] - 
   (56839*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (6*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/20 + 
     (36*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/10 + (19*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (4021*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     13*S[-1, 1, 1, 1, 1, Infinity]) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + 24*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(44*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-7040*S[-7, -1, Infinity] - 993*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2 + 5120*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/80, S[-2, 1, 2, 1, 1, 1, Infinity] -> 
  (-39*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (1341187*S[2, Infinity]^4)/
    784000 + ((-65*S[-1, Infinity]^2)/56 + (1125*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (1627*S[-1, Infinity]*S[2, Infinity])/448 + (26711*S[3, Infinity])/7168)*
    S[5, Infinity] - (243717*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (209*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-52*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    28 + (-981440*S[-7, -1, Infinity] - 115807*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/840 + 
     (13*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/420 - (13*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (8413*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, 2, 1, 1, -1, Infinity] -> 
  (547*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (503551*S[2, Infinity]^4)/
    156800 + ((239*S[-1, Infinity]^2)/896 - (3609*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 + 
     (7191*S[-1, Infinity]*S[2, Infinity])/896 + (52841*S[3, Infinity])/7168)*
    S[5, Infinity] - (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (272704*S[-7, -1, Infinity] + 55271*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 27136*S[-5, -1, 1, 1, Infinity])/
    7168 + S[2, Infinity]^2*((233*S[-1, Infinity]^4)/6720 - 
     (233*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/840 + 
     (277*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (22321*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (53*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*(-19*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, 1, 2, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/128 + 
   (563*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (11489*S[2, Infinity]^4)/12250 + ((-99*S[-1, Infinity]^2)/896 + 
     (2615*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/128 + (405*S[-1, Infinity]*S[2, Infinity])/448 - 
     (9071*S[3, Infinity])/3584)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-431*S[-1, Infinity]^4)/1680 + 
     (547*S[-1, 1, 1, 1, Infinity])/140) + 
   (-181280*S[-7, -1, Infinity] + 4469*S[5, 3, Infinity] + 
     7040*S[-5, -1, -1, -1, Infinity] - 54080*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/1120 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (1947*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 + (127*S[-5, -1, Infinity])/14 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, 2, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/96 + 
   (127*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (144787*S[2, Infinity]^4)/
    784000 + ((3051*S[-1, Infinity]^2)/896 + (1619*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 + 
     (2967*S[-1, Infinity]*S[2, Infinity])/448 + (683*S[3, Infinity])/448)*
    S[5, Infinity] - (154797*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]*(24*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    28 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/672 + 
     (131*S[-1, 1, 1, 1, Infinity])/28) + 
   (-401920*S[-7, -1, Infinity] - 52931*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] - 42880*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-697*S[-1, Infinity]^5)/2240 + 
     (403*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (885*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (57*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + (373*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, 2, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/128 - 
   (97*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (338903*S[2, Infinity]^4)/
    196000 + ((423*S[-1, Infinity]^2)/896 + (4657*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-17487*S[-1, Infinity]*S[2, Infinity])/896 + 
     (5413*S[3, Infinity])/1792)*S[5, Infinity] + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-641*S[-1, Infinity]^4)/3360 - 
     (199*S[-1, 1, 1, 1, Infinity])/140) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-3200*S[-7, -1, Infinity] - 36901*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] + 73600*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/56 - 
     (241*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (435*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-335*S[-5, -1, Infinity] + 126*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 1, 2, -1, 1, -1, Infinity] -> (7*S[-1, Infinity]^8)/384 + 
   (2519*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (636611*S[2, Infinity]^4)/112000 + 
   ((8151*S[-1, Infinity]^2)/896 + (625*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/128 - 
     (11859*S[-1, Infinity]*S[2, Infinity])/896 + (17723*S[3, Infinity])/512)*
    S[5, Infinity] - (100917*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (3*S[-1, Infinity]*(59*S[-5, 1, 1, Infinity] + 52*S[5, -1, -1, Infinity]))/
    28 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/120 + 
     (113*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 - (181*S[-5, -1, Infinity])/8 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-3520*S[-7, -1, Infinity] - 3689*S[5, 3, Infinity] - 
     10880*S[-5, -1, -1, -1, Infinity] + 13760*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-51*S[-1, Infinity]^5)/80 + 
     (85*S[-1, Infinity]^3*S[2, Infinity])/32 + 
     (4149*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     24*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 2, -1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/96 - (85*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (463201*S[2, Infinity]^4)/112000 + 
   ((6327*S[-1, Infinity]^2)/896 + (311*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/128 - 
     (18027*S[-1, Infinity]*S[2, Infinity])/896 + (14957*S[3, Infinity])/
      1024)*S[5, Infinity] - (218847*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 62*S[5, -1, -1, Infinity]))/
    28 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-101*S[-1, Infinity]^4)/240 + 
     (28*S[-1, 1, 1, 1, Infinity])/5) + S[2, Infinity]*
    (-S[-1, Infinity]^6/32 + (5*S[-5, -1, Infinity])/4 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-267200*S[-7, -1, Infinity] - 53401*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     30720*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[3, Infinity]*((-129*S[-1, Infinity]^5)/320 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (9333*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     9*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 2, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/384 - (1427*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (661679*S[2, Infinity]^4)/392000 + 
   ((207*S[-1, Infinity]^2)/112 + (3155*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-11199*S[-1, Infinity]*S[2, Infinity])/896 + 
     (17681*S[3, Infinity])/7168)*S[5, Infinity] + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1837*S[-1, Infinity]^4)/3360 - 
     (53*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (93760*S[-7, -1, Infinity] - 59233*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] + 94720*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/35 - 
     (99*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (6789*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/160 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-359*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 1, 1, 2, 1, 1, Infinity] -> S[-1, Infinity]^8/1152 + 
   (383*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1471263*S[2, Infinity]^4)/784000 + 
   ((1503*S[-1, Infinity]^2)/896 - (43*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 - 
     (277*S[-1, Infinity]*S[2, Infinity])/112 - (25027*S[3, Infinity])/3584)*
    S[5, Infinity] + (24361*S[-1, Infinity]*S[7, Infinity])/896 - 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((97*S[-1, Infinity]^4)/2240 - 
     (81*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 - (93*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (420480*S[-7, -1, Infinity] + 19259*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-159*S[-1, Infinity]^5)/2240 + 
     (379*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (3971*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, 1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (43*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (2415799*S[2, Infinity]^4)/784000 + 
   ((-1555*S[-1, Infinity]^2)/1792 + (3021*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 - 
     (1901*S[-1, Infinity]*S[2, Infinity])/448 - (7223*S[3, Infinity])/7168)*
    S[5, Infinity] + (143*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((1357*S[-1, Infinity]^4)/6720 + 
     (113*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-873280*S[-7, -1, Infinity] - 166391*S[5, 3, Infinity] - 
     93440*S[-5, -1, -1, -1, Infinity] - 85760*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((1003*S[-1, Infinity]^5)/6720 - 
     (121*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (17821*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (67*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/480 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (239*S[-5, -1, Infinity] + 420*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 1, 1, 2, -1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/576 - 
   (307*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1096547*S[2, Infinity]^4)/784000 + 
   ((-1347*S[-1, Infinity]^2)/1792 - (3005*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 - 
     (3461*S[-1, Infinity]*S[2, Infinity])/896 + (53483*S[3, Infinity])/7168)*
    S[5, Infinity] + (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((657*S[-1, Infinity]^4)/2240 - 
     (921*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (386240*S[-7, -1, Infinity] - 29907*S[5, 3, Infinity] - 
     101120*S[-5, -1, -1, -1, Infinity] + 190720*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((81*S[-1, Infinity]^5)/560 + 
     (S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (12023*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, Infinity]/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/240 + (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      4 - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(145*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-2, 1, 1, 2, -1, -1, Infinity] -> -S[-1, Infinity]^8/128 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (28811*S[2, Infinity]^4)/
    392000 + ((-1851*S[-1, Infinity]^2)/896 - (4659*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 - 
     (815*S[-1, Infinity]*S[2, Infinity])/448 + (27243*S[3, Infinity])/3584)*
    S[5, Infinity] + (233843*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((311*S[-1, Infinity]^4)/2240 - 
     (1143*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (417600*S[-7, -1, Infinity] + 62493*S[5, 3, Infinity] + 
     37760*S[-5, -1, -1, -1, Infinity] + 51840*S[-5, -1, 1, 1, Infinity] - 
     40320*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((421*S[-1, Infinity]^5)/2240 - 
     (577*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4203*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/160 - (116*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, 1, 1, 2, 1, Infinity] -> S[-1, Infinity]^8/1152 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - (453*S[2, Infinity]^4)/448 + 
   ((-43*S[-1, Infinity]^2)/64 - (239*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((5*S[-1, Infinity]*S[2, Infinity])/64 + (5805*S[3, Infinity])/1024)*
    S[5, Infinity] - (6945*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/4 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/320 + (9*S[-1, 1, 1, 1, Infinity])/
      40) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 + (5*S[-5, -1, Infinity])/2 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (-8000*S[-7, -1, Infinity] + 1309*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     512*S[-1, 1, 1, 1, Infinity]^2)/1024 + 
   S[3, Infinity]*(S[-1, Infinity]^5/192 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (409*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/8), S[-2, 1, 1, 1, 2, -1, Infinity] -> 
  (7*S[-1, Infinity]^8)/1152 + (51*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (210647*S[2, Infinity]^4)/112000 + 
   ((159*S[-1, Infinity]^2)/128 + (211*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-15*S[-1, Infinity]*S[2, Infinity])/4 - 
     (1107*S[3, Infinity])/1024)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-143*S[-1, Infinity]^4)/480 + 
     (23*S[-1, 1, 1, 1, Infinity])/20) + 
   (1600*S[-7, -1, Infinity] - 3927*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/5120 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/48 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (9*S[-1, Infinity]*S[2, Infinity]^2)/128 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (25*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/32 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (5*(-S[-5, -1, Infinity] - 
        3*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[-2, 1, 1, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/1152 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (6183*S[2, Infinity]^4)/28000 + 
   ((33*S[-1, Infinity]^2)/128 + (97*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity])/32 - (1153*S[3, Infinity])/512)*
    S[5, Infinity] + (1389*S[-1, Infinity]*S[7, Infinity])/512 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/160 - (3*S[-1, 1, 1, 1, Infinity])/
      20) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (8000*S[-7, -1, Infinity] - 1109*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/960 + 
     (S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/288 + (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/
      2 + (-2*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, 1, 1, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/384 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (27163*S[2, Infinity]^4)/56000 + 
   ((-7*S[-1, Infinity]^2)/16 - (21*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (209*S[3, Infinity]*S[5, Infinity])/256 + S[2, Infinity]^2*
    ((7*S[-1, Infinity]^4)/96 - S[-1, 1, 1, 1, Infinity]/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (49*S[5, 3, Infinity] - 1920*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/960 - 
     (S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/32 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (13*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/288 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, 1, 1, 1, -1, 2, Infinity] -> -S[-1, Infinity]^8/1152 - 
   (193*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (190977*S[2, Infinity]^4)/392000 + 
   ((101*S[-1, Infinity]^2)/112 + (5737*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5079*S[-1, Infinity]*S[2, Infinity])/448 - 
     (22571*S[3, Infinity])/3584)*S[5, Infinity] + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((367*S[-1, Infinity]^4)/3360 + 
     S[-1, 1, 1, 1, Infinity]/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-289920*S[-7, -1, Infinity] - 54177*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] - 33920*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/6720 - 
     (27*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (3461*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (107*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (317*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 1, 1, 1, -1, -2, Infinity] -> (-59*S[-1, Infinity]^8)/40320 - 
   (1699*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (430889*S[2, Infinity]^4)/156800 + 
   ((-4393*S[-1, Infinity]^2)/1792 - (8543*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/128 + 
     (9775*S[-1, Infinity]*S[2, Infinity])/896 - (29119*S[3, Infinity])/7168)*
    S[5, Infinity] + (5183*S[-1, Infinity]*S[7, Infinity])/896 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-55*S[-1, Infinity]^4)/336 - 
     (241*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - (153*S[-5, -1, Infinity])/
      28 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/840 - 
     (45*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (11743*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (229*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-57*S[-5, 1, 1, Infinity] - 22*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (276032*S[-7, -1, Infinity] + 43789*S[5, 3, Infinity] + 
     31488*S[-5, -1, -1, -1, Infinity] + 7936*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, 1, 1, 1, -2, 1, Infinity] -> 
  (27*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - (5907*S[2, Infinity]^4)/
    22400 + ((-35*S[-1, Infinity]^2)/128 + (19*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]*S[2, Infinity])/64 + 
     (135*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]^2*((-69*S[-1, Infinity]^4)/320 + 
     (27*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    (S[-1, Infinity]^5/48 - (13*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (189*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/8) + S[2, Infinity]*
    (S[-1, Infinity]^6/24 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, 1, 1, 1, -2, -1, Infinity] -> -S[-1, Infinity]^8/1152 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - S[2, Infinity]^4/128 + 
   ((165*S[-1, Infinity]^2)/128 + (35*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((235*S[-1, Infinity]*S[2, Infinity])/64 + (135*S[3, Infinity])/256)*
    S[5, Infinity] - (8295*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/4 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/192 - S[-1, 1, 1, 1, Infinity]/
      8) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 - 
   S[-1, 1, 1, 1, Infinity]^2/2 + S[2, Infinity]*(S[-1, Infinity]^6/96 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/96 + 
     (S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (577*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/8), S[-2, 1, 1, -1, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/288 + (83*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (54363*S[2, Infinity]^4)/24500 + ((-1523*S[-1, Infinity]^2)/1792 - 
     (13515*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((26799*S[-1, Infinity]*S[2, Infinity])/896 + (13885*S[3, Infinity])/7168)*
    S[5, Infinity] - (191*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((967*S[-1, Infinity]^4)/2240 + 
     (669*S[-1, 1, 1, 1, Infinity])/280) + 
   (370880*S[-7, -1, Infinity] + 141921*S[5, 3, Infinity] + 
     244480*S[-5, -1, -1, -1, Infinity] - 190720*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/448 + 
     (937*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (22397*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (25*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/96 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (445*S[-5, -1, Infinity] - 294*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 1, 1, -1, 2, -1, Infinity] -> (23*S[-1, Infinity]^8)/5040 + 
   (1747*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (431531*S[2, Infinity]^4)/98000 + ((-3729*S[-1, Infinity]^2)/1792 - 
     (80641*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/32 + (58633*S[-1, Infinity]*S[2, Infinity])/
      448 + (164925*S[3, Infinity])/7168)*S[5, Infinity] + 
   (60841*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (1427*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-923*S[-1, Infinity]^4)/3360 - 
     (351*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-887*S[-1, Infinity]^5)/1344 + 
     (5471*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (200597*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (340*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/360 - (2165*S[-5, -1, Infinity])/
      28 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity] - 
      128*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (12384320*S[-7, -1, Infinity] + 2039417*S[5, 3, Infinity] + 
     1593600*S[-5, -1, -1, -1, Infinity] + 789760*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2 - 5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, 1, -1, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/1152 + (1591*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (17587*S[2, Infinity]^4)/49000 + ((-913*S[-1, Infinity]^2)/896 - 
     (13185*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((19083*S[-1, Infinity]*S[2, Infinity])/896 + (17513*S[3, Infinity])/896)*
    S[5, Infinity] - (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-3569*S[-1, Infinity]^4)/6720 - 
     (53*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (457440*S[-7, -1, Infinity] + 99353*S[5, 3, Infinity] + 
     61440*S[-5, -1, -1, -1, Infinity] + 43840*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/1120 + 
     (213*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (17083*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (373*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/480 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-1171*S[-5, -1, Infinity] + 
       420*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 1, 1, -1, 1, -2, Infinity] -> (-23*S[-1, Infinity]^8)/6720 - 
   (933*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3815193*S[2, Infinity]^4)/392000 + 
   ((-951*S[-1, Infinity]^2)/256 + (32813*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/128 - 
     (6853*S[-1, Infinity]*S[2, Infinity])/128 - (145305*S[3, Infinity])/
      7168)*S[5, Infinity] + (82291*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1679*S[-1, Infinity]^4)/6720 + 
     (337*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((3649*S[-1, Infinity]^5)/6720 - 
     (3089*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (16859*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (2179*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (359*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]*(-128*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-6549440*S[-7, -1, Infinity] - 932569*S[5, 3, Infinity] - 
     523520*S[-5, -1, -1, -1, Infinity] - 641280*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, 1, -1, -1, 2, Infinity] -> 
  (551*S[-1, Infinity]^8)/40320 + (421*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (2206133*S[2, Infinity]^4)/196000 + 
   ((677*S[-1, Infinity]^2)/128 + (25549*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (1045*S[-1, Infinity]*S[2, Infinity])/16 - (64297*S[3, Infinity])/3584)*
    S[5, Infinity] - (325531*S[-1, Infinity]*S[7, Infinity])/7168 + 
   12*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((1567*S[-1, Infinity]^4)/2240 + 
     (2467*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-57*S[-1, Infinity]^5)/448 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (7893*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (91*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1165*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-121*S[-1, Infinity]^6)/720 + 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1837*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] + 155*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2300800*S[-7, -1, Infinity] - 352057*S[5, 3, Infinity] - 
     242560*S[-5, -1, -1, -1, Infinity] - 183040*S[-5, -1, 1, 1, Infinity] + 
     58240*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-2, 1, 1, -1, -1, -2, Infinity] -> 
  (3797*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2703947*S[2, Infinity]^4)/784000 + 
   ((-65*S[-1, Infinity]^2)/56 - (3911*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((24457*S[-1, Infinity]*S[2, Infinity])/896 + 
     (33107*S[3, Infinity])/3584)*S[5, Infinity] - 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (241680*S[-7, -1, Infinity] + 33599*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] + 28480*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-829*S[-1, Infinity]^4)/1344 - 
     (11*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-229*S[-1, Infinity]^5)/6720 + (165*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (11897*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (229*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/160 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(153*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-2, 1, 1, -1, -2, 1, Infinity] -> (-19*S[-1, Infinity]^8)/13440 + 
   (198*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (636809*S[2, Infinity]^4)/
    156800 + ((1805*S[-1, Infinity]^2)/448 - (21841*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/32 + 
     (21495*S[-1, Infinity]*S[2, Infinity])/448 + (218291*S[3, Infinity])/
      7168)*S[5, Infinity] + (553267*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((419*S[-1, Infinity]^4)/2240 - 
     (1327*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-767*S[-1, Infinity]^5)/3360 + 
     (1933*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (109071*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2269*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-519*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-3641*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(191*S[-5, 1, 1, Infinity] - 173*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1535040*S[-7, -1, Infinity] + 232629*S[5, 3, Infinity] + 
     158976*S[-5, -1, -1, -1, Infinity] + 156416*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 - 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, 1, 1, -1, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/10080 - (1311*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (144523*S[2, Infinity]^4)/49000 + ((1595*S[-1, Infinity]^2)/896 + 
     (4313*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-51921*S[-1, Infinity]*S[2, Infinity])/896 - (106993*S[3, Infinity])/
      7168)*S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((953*S[-1, Infinity]^4)/1344 + 
     (583*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((853*S[-1, Infinity]^5)/2240 - 
     (2503*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (111179*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (1579*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (687*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(297*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-6282560*S[-7, -1, Infinity] - 1040307*S[5, 3, Infinity] - 
     805120*S[-5, -1, -1, -1, Infinity] - 449280*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, 1, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/576 + (59*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (13649*S[2, Infinity]^4)/112000 + 
   ((49*S[-1, Infinity]^2)/128 - (49*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   (49*S[3, Infinity]*S[5, Infinity])/32 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-119*S[-1, Infinity]^4)/960 + 
     (59*S[-1, 1, 1, 1, Infinity])/40) + S[2, Infinity]*
    (S[-1, Infinity]^6/48 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (581*S[5, 3, Infinity] - 1280*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/480 + 
     (413*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/8), S[-2, 1, 1, -2, 1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/576 - (18*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (351443*S[2, Infinity]^4)/392000 + 
   ((-3167*S[-1, Infinity]^2)/1792 - (10863*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 + 
     (2241*S[-1, Infinity]*S[2, Infinity])/224 + (20449*S[3, Infinity])/7168)*
    S[5, Infinity] + (164389*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (145*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 89*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((-911*S[-1, Infinity]^4)/3360 - 
     (559*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (1172160*S[-7, -1, Infinity] + 246881*S[5, 3, Infinity] + 
     234240*S[-5, -1, -1, -1, Infinity] + 34560*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((583*S[-1, Infinity]^5)/3360 - 
     (1117*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (9383*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (59*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/60 - (159*S[-5, -1, Infinity])/28 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, 1, 1, -2, -1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/1152 - 
   (257*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (31019*S[2, Infinity]^4)/14000 + ((-6581*S[-1, Infinity]^2)/1792 - 
     (717*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/64 + (2859*S[-1, Infinity]*S[2, Infinity])/448 - 
     (511*S[3, Infinity])/32)*S[5, Infinity] + 
   (77389*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (5*S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((307*S[-1, Infinity]^4)/960 - 
     (97*S[-1, 1, 1, 1, Infinity])/40) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 + (43*S[-5, -1, Infinity])/4 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (2240*S[-7, -1, Infinity] + 6551*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] - 
     6400*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((67*S[-1, Infinity]^5)/320 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (8291*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 1, -2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/576 - (239*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2136041*S[2, Infinity]^4)/784000 + 
   ((81*S[-1, Infinity]^2)/448 + (4329*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-8433*S[-1, Infinity]*S[2, Infinity])/896 - 
     (122369*S[3, Infinity])/7168)*S[5, Infinity] + 
   (85*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((2627*S[-1, Infinity]^4)/6720 + 
     (523*S[-1, 1, 1, 1, Infinity])/280) + 
   (-1140800*S[-7, -1, Infinity] - 138899*S[5, 3, Infinity] - 
     19200*S[-5, -1, -1, -1, Infinity] - 249600*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/168 + 
     (279*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (17747*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (195*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/120 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (661*S[-5, -1, Infinity] + 588*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 1, -1, 2, 1, 1, Infinity] -> S[-1, Infinity]^8/128 + 
   (163*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (814189*S[2, Infinity]^4)/784000 + 
   ((369*S[-1, Infinity]^2)/1792 + (3035*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-5889*S[-1, Infinity]*S[2, Infinity])/896 + 
     (46027*S[3, Infinity])/7168)*S[5, Infinity] + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-1597*S[-1, Infinity]^4)/3360 + 
     (337*S[-1, 1, 1, 1, Infinity])/140) + 
   (-301760*S[-7, -1, Infinity] - 63989*S[5, 3, Infinity] - 
     52480*S[-5, -1, -1, -1, Infinity] + 52480*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-51*S[-1, Infinity]^5)/560 - 
     (139*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (2847*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (153*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-62*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, 1, -1, 2, 1, -1, Infinity] -> (23*S[-1, Infinity]^8)/3360 + 
   (11807*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (16673843*S[2, Infinity]^4)/784000 + 
   ((8079*S[-1, Infinity]^2)/896 - (57065*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-589*S[-1, Infinity]^3)/32 + 
     (134143*S[-1, Infinity]*S[2, Infinity])/896 + (98717*S[3, Infinity])/
      896)*S[5, Infinity] + (322597*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (286*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-9607*S[-1, Infinity]^4)/6720 - 
     (439*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-2959*S[-1, Infinity]^5)/2240 + 
     (139*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (168517*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (834*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((67*S[-1, Infinity]^6)/480 - (1226*S[-5, -1, Infinity])/
      7 - (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(375*S[-5, 1, 1, Infinity] - 157*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1229120*S[-7, -1, Infinity] + 194917*S[5, 3, Infinity] + 
     123040*S[-5, -1, -1, -1, Infinity] + 132320*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2 - 537600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/2240, S[-2, 1, -1, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/140 + (153*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (508989*S[2, Infinity]^4)/56000 + ((6471*S[-1, Infinity]^2)/256 + 
     (509*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-1085*S[-1, Infinity]^3)/32 - (577*S[-1, Infinity]*S[2, Infinity])/8 + 
     (27743*S[3, Infinity])/512)*S[5, Infinity] + 
   (47593*S[-1, Infinity]*S[7, Infinity])/512 + 
   (137280*S[-7, -1, Infinity] + 12541*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] + 60160*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*((313*S[-1, Infinity]^4)/480 - 
     5*S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/80 - (17*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (89*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(-79*S[-5, -1, Infinity] - 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-479*S[-5, -1, Infinity] + 
       96*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity] - 
      96*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2, 
 S[-2, 1, -1, 2, -1, -1, Infinity] -> (3*S[-1, Infinity]^8)/280 - 
   (4497*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (12445421*S[2, Infinity]^4)/784000 + 
   ((2595*S[-1, Infinity]^2)/224 + (87721*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-119295*S[-1, Infinity]*S[2, Infinity])/448 - 
     (852689*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((3079*S[-1, Infinity]^4)/3360 + 
     (1373*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/56 - 
     (677*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (80487*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (795*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(-2757*S[-5, -1, Infinity] - 
        616*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (S[-1, Infinity]^2*(1333*S[-5, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-22898880*S[-7, -1, Infinity] - 4036489*S[5, 3, Infinity] - 
     3027200*S[-5, -1, -1, -1, Infinity] - 
     1811200*S[-5, -1, 1, 1, Infinity] + 8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, -1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/128 - (S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (1802191*S[2, Infinity]^4)/784000 + 
   ((-153*S[-1, Infinity]^2)/1792 + (1529*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-321*S[-1, Infinity]*S[2, Infinity])/896 - 
     (32089*S[3, Infinity])/7168)*S[5, Infinity] - 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((179*S[-1, Infinity]^4)/420 - 
     (277*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-520000*S[-7, -1, Infinity] - 16449*S[5, 3, Infinity] + 
     21760*S[-5, -1, -1, -1, Infinity] - 129280*S[-5, -1, 1, 1, Infinity] - 
     161280*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/140 + 
     (89*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (8583*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/480 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (383*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 1, -1, 1, 2, -1, Infinity] -> (-19*S[-1, Infinity]^8)/3360 - 
   (7587*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (244543*S[2, Infinity]^4)/11200 + ((-8767*S[-1, Infinity]^2)/1792 + 
     (24811*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((651*S[-1, Infinity]^3)/32 - (216947*S[-1, Infinity]*S[2, Infinity])/
      896 - (138415*S[3, Infinity])/1024)*S[5, Infinity] - 
   (149549*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (3229*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((143*S[-1, Infinity]^4)/64 + 
     (443*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((1537*S[-1, Infinity]^5)/960 - (605*S[-1, Infinity]^3*S[2, Infinity])/
      48 - (472441*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (611*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-307*S[-1, Infinity]^6)/1440 + 232*S[-5, -1, Infinity] + 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-193*S[-5, 1, 1, Infinity] + 
      101*S[5, -1, -1, Infinity] + 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-809024*S[-7, -1, Infinity] - 131687*S[5, 3, Infinity] - 
     89856*S[-5, -1, -1, -1, Infinity] - 77056*S[-5, -1, 1, 1, Infinity] - 
     6144*S[-1, 1, 1, 1, Infinity]^2 + 327680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1024, S[-2, 1, -1, 1, 1, 2, Infinity] -> 
  (-717*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (17357*S[2, Infinity]^4)/196000 + ((2151*S[-1, Infinity]^2)/1792 + 
     (18619*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-12123*S[-1, Infinity]*S[2, Infinity])/448 - (139659*S[3, Infinity])/
      7168)*S[5, Infinity] + (239*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (-2207040*S[-7, -1, Infinity] - 445023*S[5, 3, Infinity] - 
     305920*S[-5, -1, -1, -1, Infinity] - 186880*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((1283*S[-1, Infinity]^4)/6720 + 
     (181*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((183*S[-1, Infinity]^5)/2240 - 
     (295*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (39951*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (549*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/144 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (251*S[-5, -1, Infinity] + 7*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, 1, -1, 1, 1, -2, Infinity] -> (17*S[-1, Infinity]^8)/10080 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (8624223*S[2, Infinity]^4)/
    784000 + ((6991*S[-1, Infinity]^2)/1792 - (31223*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 + 
     (43363*S[-1, Infinity]*S[2, Infinity])/896 + (147519*S[3, Infinity])/
      7168)*S[5, Infinity] - (82291*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (617*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-503*S[-1, Infinity]^4)/1120 - 
     (409*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-3323*S[-1, Infinity]^5)/6720 + 
     (51*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (22567*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (2343*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-1595*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(128*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (6742720*S[-7, -1, Infinity] + 910587*S[5, 3, Infinity] + 
     462080*S[-5, -1, -1, -1, Infinity] + 738560*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, -1, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/840 + (1611*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (432251*S[2, Infinity]^4)/196000 + 
   ((-7463*S[-1, Infinity]^2)/1792 - (611*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 + 
     (49489*S[-1, Infinity]*S[2, Infinity])/896 + (35465*S[3, Infinity])/
      7168)*S[5, Infinity] + (281531*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (557*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/1120 - 
     (113*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-67*S[-1, Infinity]^5)/420 + (2059*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (81873*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (134*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/160 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-443*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] - 95*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (5726400*S[-7, -1, Infinity] + 933391*S[5, 3, Infinity] + 
     776960*S[-5, -1, -1, -1, Infinity] + 316160*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, 1, -1, 1, -1, -2, Infinity] -> 
  (-2109*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (578309*S[2, Infinity]^4)/784000 + 
   ((171*S[-1, Infinity]^2)/224 + (4243*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3607*S[-1, Infinity]*S[2, Infinity])/448 - 
     (66519*S[3, Infinity])/3584)*S[5, Infinity] + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (-1014080*S[-7, -1, Infinity] - 163053*S[5, 3, Infinity] - 
     97280*S[-5, -1, -1, -1, Infinity] - 153600*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((359*S[-1, Infinity]^4)/560 + 
     (261*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((243*S[-1, Infinity]^5)/2240 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (16833*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (729*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-71*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (837*S[-5, -1, Infinity] - 196*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 1, -1, 1, -2, 1, Infinity] -> -S[-1, Infinity]^8/420 - 
   (12851*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1776027*S[2, Infinity]^4)/196000 + 
   ((-2203*S[-1, Infinity]^2)/224 + (51213*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1023*S[-1, Infinity]^3)/32 - 
     (23453*S[-1, Infinity]*S[2, Infinity])/224 - (287789*S[3, Infinity])/
      3584)*S[5, Infinity] - (561445*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/105 + 
     (284*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((4439*S[-1, Infinity]^5)/6720 - (4649*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (7501*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (4439*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 + 
     (3623*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(1117*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-101*S[-5, 1, 1, Infinity] + 
      130*S[5, -1, -1, Infinity] + 448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    7 + (-7895360*S[-7, -1, Infinity] - 1337541*S[5, 3, Infinity] - 
     957440*S[-5, -1, -1, -1, Infinity] - 727040*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, 1, -1, 1, -2, -1, Infinity] -> -S[-1, Infinity]^8/140 + 
   (2447*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4495059*S[2, Infinity]^4)/392000 + 
   ((-1529*S[-1, Infinity]^2)/224 - (106437*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((136455*S[-1, Infinity]*S[2, Infinity])/896 + 
     (295909*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-1789*S[-1, Infinity]^4)/1120 - 
     (284*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-4649*S[-1, Infinity]^5)/6720 + (4439*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (134713*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (4649*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((169*S[-1, Infinity]^6)/1440 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-6889*S[-5, -1, Infinity] - 476*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-783*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (7895360*S[-7, -1, Infinity] + 1337541*S[5, 3, Infinity] + 
     957440*S[-5, -1, -1, -1, Infinity] + 727040*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, 1, -1, -1, 2, 1, Infinity] -> (-13*S[-1, Infinity]^8)/13440 - 
   (17331*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2683083*S[2, Infinity]^4)/196000 + 
   ((-29289*S[-1, Infinity]^2)/1792 + (133575*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/2 - 
     (15303*S[-1, Infinity]*S[2, Infinity])/112 - (716455*S[3, Infinity])/
      7168)*S[5, Infinity] - (820341*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/35 + 
     (1737*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((6353*S[-1, Infinity]^5)/6720 - 
     (6311*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (334403*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (6563*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(3597*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) - (3*S[-1, Infinity]^2*(-261*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (3*S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] - 57*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (3*(-7583680*S[-7, -1, Infinity] - 1209351*S[5, 3, Infinity] - 
      835840*S[-5, -1, -1, -1, Infinity] - 741120*S[-5, -1, 1, 1, Infinity] + 
      17920*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/35840, S[-2, 1, -1, -1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/3360 + (7599*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1700331*S[2, Infinity]^4)/112000 + 
   ((-1671*S[-1, Infinity]^2)/256 - (18705*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((26505*S[-1, Infinity]*S[2, Infinity])/128 + 
     (94397*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]^2*((-613*S[-1, Infinity]^4)/320 - 
     (273*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-937*S[-1, Infinity]^5)/960 + 
     (943*S[-1, Infinity]^3*S[2, Infinity])/96 + 
     (50767*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (907*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((41*S[-1, Infinity]^6)/480 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(-113*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2) - 
   (3*S[-1, Infinity]^2*(25*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (3*(1017280*S[-7, -1, Infinity] + 166473*S[5, 3, Infinity] + 
      119040*S[-5, -1, -1, -1, Infinity] + 90880*S[-5, -1, 1, 1, Infinity] + 
      10240*S[-1, 1, 1, 1, Infinity]^2 - 409600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/5120, S[-2, 1, -1, -1, 1, 2, Infinity] -> 
  (-293*S[-1, Infinity]^8)/13440 - (181*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1789859*S[2, Infinity]^4)/112000 + 
   ((-2163*S[-1, Infinity]^2)/256 - (12767*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-651*S[-1, Infinity]^3)/64 + 
     (13677*S[-1, Infinity]*S[2, Infinity])/128 + (38863*S[3, Infinity])/
      1024)*S[5, Infinity] + (12219*S[-1, Infinity]*S[7, Infinity])/128 - 
   (175*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-881*S[-1, Infinity]^4)/960 - 
     (119*S[-1, 1, 1, 1, Infinity])/8) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((287*S[-1, Infinity]^5)/960 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (25957*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (171*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     71*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((31*S[-1, Infinity]^6)/120 - (21*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/4 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-917*S[-5, -1, Infinity] + 36*S[-1, 1, 1, 1, 1, 1, Infinity])/8) + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] + 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (2211520*S[-7, -1, Infinity] + 339701*S[5, 3, Infinity] + 
     239360*S[-5, -1, -1, -1, Infinity] + 183040*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2 - 1228800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-2, 1, -1, -1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^8/192 - (1031*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (3860477*S[2, Infinity]^4)/784000 + 
   ((423*S[-1, Infinity]^2)/448 + (127*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-27813*S[-1, Infinity]*S[2, Infinity])/896 - (32311*S[3, Infinity])/
      3584)*S[5, Infinity] + (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((4429*S[-1, Infinity]^4)/6720 - 
     (229*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-1269760*S[-7, -1, Infinity] - 145811*S[5, 3, Infinity] - 
     120320*S[-5, -1, -1, -1, Infinity] - 148480*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/336 - 
     (641*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (16267*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (515*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1873*S[-5, -1, Infinity] - 1260*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 1, -1, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/128 - 
   (4637*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (279751*S[2, Infinity]^4)/156800 + 
   ((2997*S[-1, Infinity]^2)/1792 + (24573*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-33921*S[-1, Infinity]*S[2, Infinity])/896 - 
     (210463*S[3, Infinity])/7168)*S[5, Infinity] + 
   (333*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((379*S[-1, Infinity]^4)/840 - 
     (547*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (-593216*S[-7, -1, Infinity] - 128825*S[5, 3, Infinity] - 
     85248*S[-5, -1, -1, -1, Infinity] - 45568*S[-5, -1, 1, 1, Infinity] - 
     32256*S[-1, 1, 1, 1, Infinity]^2)/7168 + 
   S[3, Infinity]*((1447*S[-1, Infinity]^5)/6720 - 
     (1615*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (11567*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (607*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/1440 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2*(104*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, 1, -1, -1, -1, -2, Infinity] -> S[-1, Infinity]^8/160 + 
   (5809*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (19514941*S[2, Infinity]^4)/784000 + 
   ((23441*S[-1, Infinity]^2)/1792 - (47491*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1643*S[-1, Infinity]^3)/128 + 
     (119229*S[-1, Infinity]*S[2, Infinity])/896 + (601533*S[3, Infinity])/
      7168)*S[5, Infinity] - (265*S[-1, Infinity]*S[7, Infinity])/512 - 
   (2045*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-3607*S[-1, Infinity]^4)/6720 - 
     (1937*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((-8641*S[-1, Infinity]^5)/6720 + 
     (7297*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (319391*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (6541*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-77*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-9299*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(61*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (18621760*S[-7, -1, Infinity] + 2715319*S[5, 3, Infinity] + 
     1524480*S[-5, -1, -1, -1, Infinity] + 
     2059520*S[-5, -1, 1, 1, Infinity] + 215040*S[-1, 1, 1, 1, Infinity]^2 - 
     10035200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, 1, -1, -1, -2, 1, Infinity] -> -S[-1, Infinity]^8/64 - 
   (33*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (1241211*S[2, Infinity]^4)/
    392000 + ((2889*S[-1, Infinity]^2)/1792 + (25383*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5805*S[-1, Infinity]*S[2, Infinity])/112 - 
     (37973*S[3, Infinity])/7168)*S[5, Infinity] + 
   (321*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-227*S[-1, Infinity]^4)/280 - 
     (741*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 - 
   (3*(326080*S[-7, -1, Infinity] + 79089*S[5, 3, Infinity] + 
      136960*S[-5, -1, -1, -1, Infinity] - 83200*S[-5, -1, 1, 1, Infinity] + 
      107520*S[-1, 1, 1, 1, Infinity]^2))/35840 + 
   S[3, Infinity]*((401*S[-1, Infinity]^5)/3360 - 
     (1789*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (42523*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (277*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((21*S[-1, Infinity]^6)/80 - 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(107*S[-5, -1, Infinity] - 105*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-2, 1, -1, -1, -2, -1, Infinity] -> (-23*S[-1, Infinity]^8)/1680 - 
   (27891*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (9651*S[2, Infinity]^4)/400 + ((-1401*S[-1, Infinity]^2)/256 + 
     (40455*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((651*S[-1, Infinity]^3)/16 - (6363*S[-1, Infinity]*S[2, Infinity])/16 - 
     (192389*S[3, Infinity])/1024)*S[5, Infinity] - 
   (106299*S[-1, Infinity]*S[7, Infinity])/512 + 
   (759*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((219*S[-1, Infinity]^4)/160 + 
     (249*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((2149*S[-1, Infinity]^5)/960 - (2227*S[-1, Infinity]^3*S[2, Infinity])/
      96 - (102103*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1759*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + (1353*S[-5, -1, Infinity])/4 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   3*S[-1, Infinity]*(7*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity] - 
     32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) - 
   (3*(420672*S[-7, -1, Infinity] + 69721*S[5, 3, Infinity] + 
      50432*S[-5, -1, -1, -1, Infinity] + 36096*S[-5, -1, 1, 1, Infinity] + 
      4096*S[-1, 1, 1, 1, Infinity]^2 - 163840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1024, S[-2, 1, -1, -2, 1, 1, Infinity] -> 
  (-23*S[-1, Infinity]^8)/8064 + (3947*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1589431*S[2, Infinity]^4)/392000 + 
   ((15439*S[-1, Infinity]^2)/1792 - (43481*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-11377*S[-1, Infinity]^3)/384 + 
     (17623*S[-1, Infinity]*S[2, Infinity])/896 + (221493*S[3, Infinity])/
      7168)*S[5, Infinity] + (221033*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((767*S[-1, Infinity]^4)/3360 - 
     (261*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-521*S[-1, Infinity]^5)/2240 + 
     (1051*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (91731*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (226*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (3*S[-1, Infinity]^2*(-39*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-3761*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(86*S[-5, 1, 1, Infinity] - 131*S[5, -1, -1, Infinity] - 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (7472320*S[-7, -1, Infinity] + 1257103*S[5, 3, Infinity] + 
     917760*S[-5, -1, -1, -1, Infinity] + 659200*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, 1, -1, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/630 - (167*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (1984427*S[2, Infinity]^4)/196000 + 
   ((957*S[-1, Infinity]^2)/224 + (6535*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/384 - 
     (149123*S[-1, Infinity]*S[2, Infinity])/896 - (138967*S[3, Infinity])/
      1792)*S[5, Infinity] + S[2, Infinity]^2*((71*S[-1, Infinity]^4)/168 + 
     (289*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((369*S[-1, Infinity]^5)/560 - (369*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (65313*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (1107*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/1440 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-2365*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(1945*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-7956160*S[-7, -1, Infinity] - 1321111*S[5, 3, Infinity] - 
     944640*S[-5, -1, -1, -1, Infinity] - 739840*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, 1, -1, -2, -1, 1, Infinity] -> (-23*S[-1, Infinity]^8)/2520 - 
   (201*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (7046253*S[2, Infinity]^4)/784000 + 
   ((-7353*S[-1, Infinity]^2)/1792 - (67657*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/384 + 
     (79517*S[-1, Infinity]*S[2, Infinity])/896 + (337963*S[3, Infinity])/
      7168)*S[5, Infinity] - (817*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-797*S[-1, Infinity]^4)/1680 - 
     (457*S[-1, 1, 1, 1, Infinity])/140) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-817*S[-1, Infinity]^5)/2240 + 
     (817*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (144609*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (2451*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/360 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-185*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (7751360*S[-7, -1, Infinity] + 1439897*S[5, 3, Infinity] + 
     1045760*S[-5, -1, -1, -1, Infinity] + 638720*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, 1, -1, -2, -1, -1, Infinity] -> (-4*S[-1, Infinity]^8)/315 + 
   (13593*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (3422421*S[2, Infinity]^4)/196000 + 
   ((-4755*S[-1, Infinity]^2)/896 - (99227*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-8401*S[-1, Infinity]^3)/384 + 
     (233845*S[-1, Infinity]*S[2, Infinity])/896 + (236521*S[3, Infinity])/
      1792)*S[5, Infinity] + (882887*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (422*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-379*S[-1, Infinity]^4)/336 - 
     (463*S[-1, 1, 1, 1, Infinity])/35) + 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2607*S[-1, Infinity]^5)/2240 + 
     (381*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (59189*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (7821*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/720 - (3105*S[-5, -1, Infinity])/
      14 + 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(213*S[-5, 1, 1, Infinity] - 431*S[5, -1, -1, Infinity] - 
      1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (14740160*S[-7, -1, Infinity] + 2525023*S[5, 3, Infinity] + 
     1888000*S[-5, -1, -1, -1, Infinity] + 
     1212160*S[-5, -1, 1, 1, Infinity] - 5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, 1, -2, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (2889*S[2, Infinity]^4)/8000 + (51*S[2, Infinity]*S[3, Infinity]^2)/256 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/64 - (203*S[3, Infinity])/128)*
    S[5, Infinity] + S[2, Infinity]^2*((21*S[-1, Infinity]^4)/160 - 
     (9*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (7*S[5, 3, Infinity] - 960*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/320 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/32 - 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, 1, -2, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (551893*S[2, Infinity]^4)/784000 + 
   ((-231*S[-1, Infinity]^2)/128 - (1689*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/128 + 
     (27*S[-1, Infinity]*S[2, Infinity])/128 - (583*S[3, Infinity])/224)*
    S[5, Infinity] + (52371*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((37*S[-1, Infinity]^4)/210 - 
     (43*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (7620*S[-7, -1, Infinity] + 1969*S[5, 3, Infinity] + 
     2640*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/84 - 
     (145*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (43*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (145*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + (27*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, 1, -2, 1, -1, 1, Infinity] -> 
  (-13*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (255583*S[2, Infinity]^4)/
    784000 + ((-9*S[-1, Infinity]^2)/7 + (1585*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/128 - 
     (10767*S[-1, Infinity]*S[2, Infinity])/896 - (57943*S[3, Infinity])/
      3584)*S[5, Infinity] - (42321*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (283*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (971*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   (15*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    28 + (-841280*S[-7, -1, Infinity] - 155221*S[5, 3, Infinity] - 
     110080*S[-5, -1, -1, -1, Infinity] - 104960*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/840 + 
     (41*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/560 - (43*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (6921*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (129*S[-1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, 1, -2, 1, -1, -1, Infinity] -> 
  (-125*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (70369*S[2, Infinity]^4)/784000 + 
   ((-27*S[-1, Infinity]^2)/112 - (79*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-4191*S[-1, Infinity]*S[2, Infinity])/896 + (3391*S[3, Infinity])/1792)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (-5120*S[-7, -1, Infinity] + 2123*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((1157*S[-1, Infinity]^4)/6720 + 
     (103*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/112 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-9*S[-1, Infinity]^6)/160 + (19*S[-5, -1, Infinity])/28 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, 1, -2, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/1152 + 
   (859*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (129653*S[2, Infinity]^4)/156800 + 
   ((-25*S[-1, Infinity]^2)/28 - (55*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 + (479*S[-1, Infinity]*S[2, Infinity])/112 - 
     (17387*S[3, Infinity])/3584)*S[5, Infinity] + 
   (10425*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 67*S[5, -1, -1, Infinity]))/
    28 + S[2, Infinity]^2*((43*S[-1, Infinity]^4)/1344 - 
     S[-1, 1, 1, 1, Infinity]/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 + (25*S[-5, -1, Infinity])/56 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4) + 
   (6080*S[-7, -1, Infinity] - 1643*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     896*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/1344 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (253*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, 1, -2, -1, 1, -1, Infinity] -> 
  (2167*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (882139*S[2, Infinity]^4)/784000 + 
   ((-9*S[-1, Infinity]^2)/56 - (2341*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/128 + (27327*S[-1, Infinity]*S[2, Infinity])/896 + 
     (26273*S[3, Infinity])/1792)*S[5, Infinity] - 
   (277*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (881600*S[-7, -1, Infinity] + 147283*S[5, 3, Infinity] + 
     110080*S[-5, -1, -1, -1, Infinity] + 104960*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((479*S[-1, Infinity]^4)/3360 - 
     (41*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/560 + (43*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (7611*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (129*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/160 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-467*S[-5, -1, Infinity] - 756*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 1, -2, -1, -1, 1, Infinity] -> 
  (169*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (735671*S[2, Infinity]^4)/
    392000 + ((-279*S[-1, Infinity]^2)/896 - (5335*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/128 + 
     (22227*S[-1, Infinity]*S[2, Infinity])/896 - (20581*S[3, Infinity])/
      3584)*S[5, Infinity] - (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (-6800*S[-7, -1, Infinity] + 569*S[5, 3, Infinity] + 
     9920*S[-5, -1, -1, -1, Infinity] - 16640*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((97*S[-1, Infinity]^4)/1344 + 
     (29*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/448 + (209*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (39*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (255*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (355*S[-5, -1, Infinity] - 126*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 1, -2, -1, -1, -1, Infinity] -> 
  (229*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (84029*S[2, Infinity]^4)/24500 + ((-171*S[-1, Infinity]^2)/56 - 
     (41*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/64 + (5013*S[-1, Infinity]*S[2, Infinity])/448 - 
     (58945*S[3, Infinity])/3584)*S[5, Infinity] + 
   (198255*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/
    28 + (5920*S[-7, -1, Infinity] + 2099*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((283*S[-1, Infinity]^4)/840 + 
     (32*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/448 + (113*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (4803*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (645*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + (64*S[-5, -1, Infinity])/7 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, -1, 2, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/128 - 
   (171*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (67743*S[2, Infinity]^4)/28000 + ((27*S[-1, Infinity]^2)/128 + 
     (39*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-21*S[-1, Infinity]*S[2, Infinity])/2 + (2281*S[3, Infinity])/512)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((39*S[-1, Infinity]^4)/320 - 
     (177*S[-1, 1, 1, 1, Infinity])/40) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (3*(-5120*S[-7, -1, Infinity] - 1443*S[5, 3, Infinity] + 
      1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
      3840*S[-1, 1, 1, 1, Infinity]^2))/2560 + 
   S[3, Infinity]*(S[-1, Infinity]^5/16 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (81*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/480 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(9*S[-5, -1, Infinity] - 10*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, -1, 2, 1, 1, -1, Infinity] -> (-551*S[-1, Infinity]^8)/40320 - 
   (3133*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2940983*S[2, Infinity]^4)/392000 + 
   ((-2941*S[-1, Infinity]^2)/896 - (29797*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-961*S[-1, Infinity]^3)/128 + 
     (28419*S[-1, Infinity]*S[2, Infinity])/448 + (25757*S[3, Infinity])/
      3584)*S[5, Infinity] + (294347*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (113*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/672 - 
     (321*S[-1, 1, 1, 1, Infinity])/35) + 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/2240 + 
     (325*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (69707*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (77*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (619*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/720 - (2099*S[-5, -1, Infinity])/
      28 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] - 194*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (5480320*S[-7, -1, Infinity] + 806067*S[5, 3, Infinity] + 
     549120*S[-5, -1, -1, -1, Infinity] + 427520*S[-5, -1, 1, 1, Infinity] - 
     116480*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, -1, 2, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/720 - (123*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (9911327*S[2, Infinity]^4)/784000 + 
   ((9677*S[-1, Infinity]^2)/1792 + (44663*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2139*S[-1, Infinity]^3)/128 - 
     (78005*S[-1, Infinity]*S[2, Infinity])/896 - (440343*S[3, Infinity])/
      7168)*S[5, Infinity] + (201337*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((5401*S[-1, Infinity]^4)/3360 + 
     (297*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((403*S[-1, Infinity]^5)/672 - 
     (3001*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (141907*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (320*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/288 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-541*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (3*S[-1, Infinity]^2*(137*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(157*S[-5, 1, 1, Infinity] - 326*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-6429120*S[-7, -1, Infinity] - 1138283*S[5, 3, Infinity] - 
     605440*S[-5, -1, -1, -1, Infinity] - 774400*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, 2, 1, -1, -1, Infinity] -> 
  (467*S[-1, Infinity]^8)/40320 - (2223*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (7640051*S[2, Infinity]^4)/392000 + 
   ((7485*S[-1, Infinity]^2)/1792 + (118495*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-19227*S[-1, Infinity]*S[2, Infinity])/112 - 
     (522559*S[3, Infinity])/7168)*S[5, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((8129*S[-1, Infinity]^4)/6720 + 
     (575*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((123*S[-1, Infinity]^5)/140 - (1821*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (318201*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (738*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(1877*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (8179*S[-5, -1, Infinity] + 1596*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-19378880*S[-7, -1, Infinity] - 3016963*S[5, 3, Infinity] - 
     2080000*S[-5, -1, -1, -1, Infinity] - 
     1844480*S[-5, -1, 1, 1, Infinity] + 17920*S[-1, 1, 1, 1, Infinity]^2 + 
     8601600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, 2, -1, 1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/504 + 
   (1619*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1019129*S[2, Infinity]^4)/392000 + 
   ((-10879*S[-1, Infinity]^2)/1792 - (33937*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1085*S[-1, Infinity]^3)/192 + 
     (23481*S[-1, Infinity]*S[2, Infinity])/448 - (115285*S[3, Infinity])/
      7168)*S[5, Infinity] + (579421*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-153*S[-1, Infinity]^4)/224 + 
     (41*S[-1, 1, 1, 1, Infinity])/140) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/6720 + 
     (1873*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (10069*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/80 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (6*(31*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-403*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(76*S[-5, 1, 1, Infinity] - 183*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (5234240*S[-7, -1, Infinity] + 905753*S[5, 3, Infinity] + 
     840960*S[-5, -1, -1, -1, Infinity] + 108800*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, 2, -1, 1, -1, Infinity] -> (-19*S[-1, Infinity]^8)/2520 - 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + (305933*S[2, Infinity]^4)/
    392000 + ((-10839*S[-1, Infinity]^2)/1792 - (19441*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1271*S[-1, Infinity]^3)/384 + 
     (21025*S[-1, Infinity]*S[2, Infinity])/896 + (96379*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((-859*S[-1, Infinity]^4)/3360 + (509*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/140 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (44643*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (174*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/144 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 22*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (2327*S[-5, -1, Infinity] - 
       1596*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]^2*(143*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-4546240*S[-7, -1, Infinity] - 346839*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 705280*S[-5, -1, 1, 1, Infinity] + 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, 2, -1, -1, 1, Infinity] -> (-1471*S[-1, Infinity]^8)/40320 - 
   (87*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (14743023*S[2, Infinity]^4)/
    784000 + ((-3141*S[-1, Infinity]^2)/448 - (29989*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1271*S[-1, Infinity]^3)/384 + 
     (153161*S[-1, Infinity]*S[2, Infinity])/896 + (28339*S[3, Infinity])/
      448)*S[5, Infinity] - (349*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-1157*S[-1, Infinity]^4)/2240 - 
     (3683*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-15*S[-1, Infinity]^5)/28 + 
     (1641*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2949*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (450*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/45 + 20*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-607*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (3511680*S[-7, -1, Infinity] + 595513*S[5, 3, Infinity] + 
     446720*S[-5, -1, -1, -1, Infinity] + 283520*S[-5, -1, 1, 1, Infinity] - 
     94080*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-2, -1, 2, -1, -1, -1, Infinity] -> 
  (-29*S[-1, Infinity]^8)/840 + (8441*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (355997*S[2, Infinity]^4)/19600 + 
   ((-1213*S[-1, Infinity]^2)/112 - (45749*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1147*S[-1, Infinity]^3)/96 + 
     (109317*S[-1, Infinity]*S[2, Infinity])/448 + (190735*S[3, Infinity])/
      1792)*S[5, Infinity] + (780445*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (697*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-151*S[-1, Infinity]^4)/140 - 
     (648*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1031*S[-1, Infinity]^5)/1680 + 
     (883*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (207937*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (883*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (1464*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] - 383*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (10944*S[-7, -1, Infinity] + 1839*S[5, 3, Infinity] + 
     1336*S[-5, -1, -1, -1, Infinity] + 904*S[-5, -1, 1, 1, Infinity] - 
     112*S[-1, 1, 1, 1, Infinity]^2 - 4480*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/14, S[-2, -1, 1, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/128 - (1399*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (11573*S[2, Infinity]^4)/12250 + ((-369*S[-1, Infinity]^2)/1792 - 
     (277*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((375*S[-1, Infinity]*S[2, Infinity])/28 - (40371*S[3, Infinity])/7168)*
    S[5, Infinity] - (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((1493*S[-1, Infinity]^4)/6720 - 
     (443*S[-1, 1, 1, 1, Infinity])/280) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (355520*S[-7, -1, Infinity] + 40833*S[5, 3, Infinity] + 
     52480*S[-5, -1, -1, -1, Infinity] - 52480*S[-5, -1, 1, 1, Infinity] + 
     161280*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/224 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (1275*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (135*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/240 + 9*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (479*S[-5, -1, Infinity] - 
       840*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, 1, 2, 1, -1, Infinity] -> (121*S[-1, Infinity]^8)/4480 - 
   (2047*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3201803*S[2, Infinity]^4)/196000 + 
   ((7327*S[-1, Infinity]^2)/896 + (57263*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/32 - 
     (115077*S[-1, Infinity]*S[2, Infinity])/896 - (221369*S[3, Infinity])/
      3584)*S[5, Infinity] - (429853*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (825*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (9*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((6967*S[-1, Infinity]^4)/6720 + 
     (1093*S[-1, 1, 1, 1, Infinity])/56) + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/1680 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (24235*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (77*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (2469*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/120 + (2029*S[-5, -1, Infinity])/
      14 + 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 181*S[5, -1, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-9477760*S[-7, -1, Infinity] - 1512419*S[5, 3, Infinity] - 
     1053440*S[-5, -1, -1, -1, Infinity] - 828160*S[-5, -1, 1, 1, Infinity] + 
     241920*S[-1, 1, 1, 1, Infinity]^2 + 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, -1, 1, 2, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/2520 - (99*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2602667*S[2, Infinity]^4)/784000 + 
   ((-6885*S[-1, Infinity]^2)/1792 - (6379*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((899*S[-1, Infinity]^3)/32 + 
     (14251*S[-1, Infinity]*S[2, Infinity])/224 + (86189*S[3, Infinity])/
      3584)*S[5, Infinity] - (1308425*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-2391*S[-1, Infinity]^4)/1120 + 
     (531*S[-1, 1, 1, 1, Infinity])/70) + 
   (55360*S[-7, -1, Infinity] + 50129*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 64000*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-379*S[-1, Infinity]^5)/448 + 
     (24*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (40651*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (147*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (135*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(-89*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) + 
   (3*S[-1, Infinity]^2*(39*S[-5, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-159*S[-5, 1, 1, Infinity] + 
      653*S[5, -1, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28, S[-2, -1, 1, 2, -1, -1, Infinity] -> (-397*S[-1, Infinity]^8)/40320 + 
   (1239*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (2327191*S[2, Infinity]^4)/112000 + 
   ((-255*S[-1, Infinity]^2)/32 - (11411*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((3765*S[-1, Infinity]*S[2, Infinity])/16 + 
     (128713*S[3, Infinity])/1024)*S[5, Infinity] + 
   S[2, Infinity]^2*((-857*S[-1, Infinity]^4)/320 - 
     (561*S[-1, 1, 1, 1, Infinity])/40) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/10 + 
     (67*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (58419*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     132*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((9*S[-1, Infinity]^6)/32 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-757*S[-5, -1, Infinity] - 
       114*S[-1, 1, 1, 1, 1, 1, Infinity])/4) - 
   (3*S[-1, Infinity]^2*(29*S[-5, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (3448640*S[-7, -1, Infinity] + 574309*S[5, 3, Infinity] + 
     405760*S[-5, -1, -1, -1, Infinity] + 331520*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2 - 1228800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-2, -1, 1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/384 - (73*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (494527*S[2, Infinity]^4)/392000 + 
   ((279*S[-1, Infinity]^2)/448 + (1129*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-135*S[-1, Infinity]*S[2, Infinity])/7 - 
     (2341*S[3, Infinity])/896)*S[5, Infinity] + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-173*S[-1, Infinity]^4)/1344 - 
     (121*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (955*S[-7, -1, Infinity] - 1248*S[5, 3, Infinity] - 
     1240*S[-5, -1, -1, -1, Infinity] + 1660*S[-5, -1, 1, 1, Infinity] - 
     420*S[-1, 1, 1, 1, Infinity]^2)/280 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/560 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (5991*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-895*S[-5, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, 1, 1, 2, -1, Infinity] -> (-341*S[-1, Infinity]^8)/40320 - 
   (1121*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (4341037*S[2, Infinity]^4)/392000 + 
   ((-3693*S[-1, Infinity]^2)/896 - (32519*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (17113*S[-1, Infinity]*S[2, Infinity])/224 + (137087*S[3, Infinity])/
      3584)*S[5, Infinity] + (49199*S[-1, Infinity]*S[7, Infinity])/896 - 
   (443*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1411*S[-1, Infinity]^4)/2240 - 
     (545*S[-1, 1, 1, 1, Infinity])/56) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-401*S[-1, Infinity]^5)/3360 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (42219*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1871*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/720 - (2907*S[-5, -1, Infinity])/
      28 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (27*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (6264960*S[-7, -1, Infinity] + 908503*S[5, 3, Infinity] + 
     559360*S[-5, -1, -1, -1, Infinity] + 632320*S[-5, -1, 1, 1, Infinity] - 
     62720*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, -1, 1, 1, 1, 2, Infinity] -> 
  (-239*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (171111*S[2, Infinity]^4)/196000 + 
   ((-1017*S[-1, Infinity]^2)/1792 - (9113*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((381*S[-1, Infinity]*S[2, Infinity])/28 + 
     (36045*S[3, Infinity])/7168)*S[5, Infinity] - 
   (113*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (1136320*S[-7, -1, Infinity] + 229521*S[5, 3, Infinity] + 
     144640*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity])/
    35840 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/2240 - 
     (33*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-57*S[-1, Infinity]^5)/2240 + (113*S[-1, Infinity]^3*S[2, Infinity])/
      224 + (21009*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (171*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-269*S[-5, -1, Infinity] - 420*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, 1, 1, 1, -2, Infinity] -> (199*S[-1, Infinity]^8)/40320 + 
   (2729*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3526009*S[2, Infinity]^4)/784000 + 
   ((4983*S[-1, Infinity]^2)/1792 + (4769*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 - 
     (1135*S[-1, Infinity]*S[2, Infinity])/896 + (6059*S[3, Infinity])/7168)*
    S[5, Infinity] - (5183*S[-1, Infinity]*S[7, Infinity])/896 - 
   (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((101*S[-1, Infinity]^4)/840 + 
     (123*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-121*S[-1, Infinity]^5)/672 + (545*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (6887*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (505*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-59*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (184*S[-5, -1, Infinity] + 21*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1663040*S[-7, -1, Infinity] - 186001*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] - 172800*S[-5, -1, 1, 1, Infinity] + 
     89600*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, 1, 1, -1, 2, Infinity] -> 
  (59*S[-1, Infinity]^8)/20160 + (401*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (546681*S[2, Infinity]^4)/78400 + 
   ((-1047*S[-1, Infinity]^2)/256 + (1343*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 - 
     (537*S[-1, Infinity]*S[2, Infinity])/32 + (70643*S[3, Infinity])/7168)*
    S[5, Infinity] + (109617*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/3360 + 
     (339*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((683*S[-1, Infinity]^5)/2240 - 
     (1391*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (5867*S[-1, Infinity]*S[2, Infinity]^2)/640 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (103*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/720 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-46*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) - 
   (S[-1, Infinity]*(-48*S[-5, 1, 1, Infinity] - 83*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-534976*S[-7, -1, Infinity] - 40541*S[5, 3, Infinity] - 
     9984*S[-5, -1, -1, -1, Infinity] - 58112*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, -1, 1, 1, -1, -2, Infinity] -> 
  S[-1, Infinity]^8/128 - (179*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (768949*S[2, Infinity]^4)/784000 + 
   ((-333*S[-1, Infinity]^2)/896 - (10797*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4499*S[-1, Infinity]*S[2, Infinity])/224 + 
     (15633*S[3, Infinity])/1792)*S[5, Infinity] - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-157*S[-1, Infinity]^4)/1344 + 
     (101*S[-1, 1, 1, 1, Infinity])/56) + 
   (124080*S[-7, -1, Infinity] + 14727*S[5, 3, Infinity] + 
     11840*S[-5, -1, -1, -1, Infinity] + 10560*S[-5, -1, 1, 1, Infinity] + 
     20160*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/448 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (45*S[-1, Infinity]*S[2, Infinity]^2)/14 + 
     (495*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-9*S[-5, -1, Infinity] - 140*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-2, -1, 1, 1, -2, 1, Infinity] -> (-23*S[-1, Infinity]^8)/10080 + 
   (4463*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (909889*S[2, Infinity]^4)/392000 + 
   ((419*S[-1, Infinity]^2)/896 - (20479*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (10895*S[-1, Infinity]*S[2, Infinity])/224 + (108043*S[3, Infinity])/
      7168)*S[5, Infinity] + (130243*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[2, Infinity]^2*((1247*S[-1, Infinity]^4)/3360 - 
     (547*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/105 + 
     (193*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (87691*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1439*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-219*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-2349*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 87*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (6282560*S[-7, -1, Infinity] + 1040307*S[5, 3, Infinity] + 
     805120*S[-5, -1, -1, -1, Infinity] + 449280*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, 1, 1, -2, -1, Infinity] -> 
  (13*S[-1, Infinity]^8)/13440 + (1327*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1021739*S[2, Infinity]^4)/156800 + 
   ((451*S[-1, Infinity]^2)/224 + (45439*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-29241*S[-1, Infinity]*S[2, Infinity])/448 - 
     (217241*S[3, Infinity])/7168)*S[5, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((6499*S[-1, Infinity]^4)/6720 + 
     (949*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((803*S[-1, Infinity]^5)/2240 - 
     (143*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (125751*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (2409*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(293*S[-5, -1, Infinity] - 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/1440 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (842*S[-5, -1, Infinity] + 175*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-1535040*S[-7, -1, Infinity] - 232629*S[5, 3, Infinity] - 
     158976*S[-5, -1, -1, -1, Infinity] - 156416*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, -1, 1, -1, 2, 1, Infinity] -> 
  (7*S[-1, Infinity]^8)/576 + (4201*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (108299*S[2, Infinity]^4)/19600 + 
   ((16911*S[-1, Infinity]^2)/1792 - (3183*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 - 
     (183*S[-1, Infinity]*S[2, Infinity])/896 + (153239*S[3, Infinity])/3584)*
    S[5, Infinity] - (125067*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (3*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    14 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/84 + 
     (19*S[-1, 1, 1, 1, Infinity])/7) + 
   (24672*S[-7, -1, Infinity] + 3915*S[5, 3, Infinity] - 
     3072*S[-5, -1, -1, -1, Infinity] + 11136*S[-5, -1, 1, 1, Infinity] + 
     6272*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-1781*S[-1, Infinity]^5)/3360 + 
     (1385*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (13869*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (61*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1427*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/480 - (411*S[-5, -1, Infinity])/
      14 - (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, 1, -1, 2, -1, Infinity] -> S[-1, Infinity]^8/144 - 
   (41*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (5177*S[2, Infinity]^4)/
    56000 + ((1143*S[-1, Infinity]^2)/256 + (6357*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-8349*S[-1, Infinity]*S[2, Infinity])/128 - 
     (5107*S[3, Infinity])/128)*S[5, Infinity] + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/480 + 
     (83*S[-1, 1, 1, 1, Infinity])/20) + 
   (-267840*S[-7, -1, Infinity] - 60813*S[5, 3, Infinity] - 
     49920*S[-5, -1, -1, -1, Infinity] - 19200*S[-5, -1, 1, 1, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((25*S[-1, Infinity]^5)/192 - 
     (373*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (2787*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (115*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-13*S[-5, -1, Infinity] - 6*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[-2, -1, 1, -1, 1, 2, Infinity] -> (-199*S[-1, Infinity]^8)/20160 - 
   (831*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (134821*S[2, Infinity]^4)/24500 + ((-4187*S[-1, Infinity]^2)/1792 - 
     (16501*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/64 + (5907*S[-1, Infinity]*S[2, Infinity])/896 - 
     (30181*S[3, Infinity])/7168)*S[5, Infinity] + 
   (281531*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (193*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/1344 - 
     (1439*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((689*S[-1, Infinity]^5)/3360 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (27777*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (99*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-443*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] - 95*S[5, -1, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (4010560*S[-7, -1, Infinity] + 553333*S[5, 3, Infinity] + 
     311040*S[-5, -1, -1, -1, Infinity] + 352000*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, Infinity]^2 - 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, 1, -1, 1, -2, Infinity] -> 
  -S[-1, Infinity]^8/288 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (17531*S[2, Infinity]^4)/31360 + ((-405*S[-1, Infinity]^2)/896 - 
     (6315*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((8031*S[-1, Infinity]*S[2, Infinity])/896 + (4527*S[3, Infinity])/896)*
    S[5, Infinity] - (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/3360 - 
     (267*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (58176*S[-7, -1, Infinity] + 8991*S[5, 3, Infinity] + 
     11520*S[-5, -1, -1, -1, Infinity] + 2816*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-4*S[-1, Infinity]^5)/105 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (7251*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (221*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/1440 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-51*S[-5, -1, Infinity] - 
       14*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, -1, 1, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (81*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (1913837*S[2, Infinity]^4)/
    784000 + ((-387*S[-1, Infinity]^2)/1792 + (9199*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-3123*S[-1, Infinity]*S[2, Infinity])/448 - 
     (108155*S[3, Infinity])/7168)*S[5, Infinity] - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/105 - 
     (397*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-86720*S[-7, -1, Infinity] - 61483*S[5, 3, Infinity] + 
     55040*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/35840 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/6720 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (6543*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (263*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/480 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-131*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, -1, 1, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/560 - 
   (15*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (5489759*S[2, Infinity]^4)/
    392000 + ((17721*S[-1, Infinity]^2)/1792 - (14491*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-651*S[-1, Infinity]^3)/128 + 
     (25365*S[-1, Infinity]*S[2, Infinity])/896 + (254929*S[3, Infinity])/
      7168)*S[5, Infinity] - (21921*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (775*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((425*S[-1, Infinity]^4)/1344 - 
     (1411*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-947*S[-1, Infinity]^5)/1680 + 
     (1691*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (122727*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (2773*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/60 + 
     (19*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1985*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (6900160*S[-7, -1, Infinity] + 907337*S[5, 3, Infinity] + 
     346880*S[-5, -1, -1, -1, Infinity] + 943360*S[-5, -1, 1, 1, Infinity] - 
     4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, 1, -1, -2, 1, Infinity] -> -S[-1, Infinity]^8/128 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (23673*S[2, Infinity]^4)/
    22400 + (135*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-663*S[-1, Infinity]*S[2, Infinity])/64 - (1105*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]^2*((9*S[-1, Infinity]^4)/320 - 
     (147*S[-1, 1, 1, 1, Infinity])/40) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (9*S[-1, 1, 1, 1, Infinity]^2)/2 + S[3, Infinity]*
    (S[-1, Infinity]^5/96 - (5*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (87*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (35*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (9*(5*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[-2, -1, 1, -1, -2, -1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (241*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (77*S[2, Infinity]^4)/200 - 
   (135*S[-1, Infinity]^2*S[3, Infinity]^2)/28 + 
   ((279*S[-1, Infinity]^3)/32 + (2253*S[-1, Infinity]*S[2, Infinity])/448 - 
     (1105*S[3, Infinity])/256)*S[5, Infinity] - 
   (43851*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (9*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/48 - 
     (5*S[-1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 - 
   4*S[-1, 1, 1, 1, Infinity]^2 + S[3, Infinity]*(S[-1, Infinity]^5/96 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (267*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (35*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/120 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, -1, 1, -2, 1, 1, Infinity] -> S[-1, Infinity]^8/4032 - 
   (1737*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2270207*S[2, Infinity]^4)/784000 + 
   ((-15903*S[-1, Infinity]^2)/1792 + (34553*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((9145*S[-1, Infinity]^3)/384 - 
     (18647*S[-1, Infinity]*S[2, Infinity])/896 - (112635*S[3, Infinity])/
      7168)*S[5, Infinity] - (748135*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/336 + 
     (33*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((589*S[-1, Infinity]^5)/1680 - (491*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (79871*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (172*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2993*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(415*S[-5, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-321*S[-5, 1, 1, Infinity] + 
      379*S[5, -1, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (-6322880*S[-7, -1, Infinity] - 996193*S[5, 3, Infinity] - 
     733440*S[-5, -1, -1, -1, Infinity] - 520960*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, 1, -2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/630 + (2671*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (3672481*S[2, Infinity]^4)/392000 + 
   ((-1083*S[-1, Infinity]^2)/224 - (24691*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 + 
     (139295*S[-1, Infinity]*S[2, Infinity])/896 + (141991*S[3, Infinity])/
      1792)*S[5, Infinity] + S[2, Infinity]^2*
    ((-4709*S[-1, Infinity]^4)/6720 - (2333*S[-1, 1, 1, 1, Infinity])/280) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-369*S[-1, Infinity]^5)/560 + 
     (369*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (65313*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (1107*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/288 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(1263*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      28) + (S[-1, Infinity]^2*(-1861*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (7915840*S[-7, -1, Infinity] + 1329049*S[5, 3, Infinity] + 
     944640*S[-5, -1, -1, -1, Infinity] + 739840*S[-5, -1, 1, 1, Infinity] - 
     2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, -1, 1, -2, -1, 1, Infinity] -> (683*S[-1, Infinity]^8)/40320 - 
   (95*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (769933*S[2, Infinity]^4)/
    78400 + ((7929*S[-1, Infinity]^2)/1792 + (70533*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 - 
     (81503*S[-1, Infinity]*S[2, Infinity])/896 - (415539*S[3, Infinity])/
      7168)*S[5, Infinity] + (881*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((5689*S[-1, Infinity]^4)/6720 + 
     (2193*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((881*S[-1, Infinity]^5)/2240 - 
     (881*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (155937*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (2643*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-131*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3539*S[-5, -1, Infinity] + 1260*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-1784256*S[-7, -1, Infinity] - 328915*S[5, 3, Infinity] - 
     225536*S[-5, -1, -1, -1, Infinity] - 175872*S[-5, -1, 1, 1, Infinity] + 
     32256*S[-1, 1, 1, 1, Infinity]^2 + 573440*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, -1, 1, -2, -1, -1, Infinity] -> 
  (11*S[-1, Infinity]^8)/560 - (627*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (221411*S[2, Infinity]^4)/11200 + ((4755*S[-1, Infinity]^2)/896 + 
     (13941*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((6169*S[-1, Infinity]^3)/384 - (118403*S[-1, Infinity]*S[2, Infinity])/
      448 - (66417*S[3, Infinity])/512)*S[5, Infinity] - 
   (160469*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (1639*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((159*S[-1, Infinity]^4)/80 + 
     (83*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    ((99*S[-1, Infinity]^5)/80 - (191*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (23495*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (1083*S[-1, 1, 1, 1, 1, Infinity])/8) - 
   (4*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/144 + (455*S[-5, -1, Infinity])/
      2 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-51*S[-5, 1, 1, Infinity] + 68*S[5, -1, -1, Infinity] + 
      336*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-420288*S[-7, -1, Infinity] - 71567*S[5, 3, Infinity] - 
     52480*S[-5, -1, -1, -1, Infinity] - 36096*S[-5, -1, 1, 1, Infinity] + 
     2048*S[-1, 1, 1, 1, Infinity]^2 + 163840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/512, S[-2, -1, -1, 2, 1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/8064 - (163*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 + (8173227*S[2, Infinity]^4)/784000 + 
   ((-16509*S[-1, Infinity]^2)/896 + (29279*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((8215*S[-1, Infinity]^3)/192 - 
     (12865*S[-1, Infinity]*S[2, Infinity])/896 - (21627*S[3, Infinity])/448)*
    S[5, Infinity] - (199597*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((2717*S[-1, Infinity]^4)/6720 + 
     (713*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((2267*S[-1, Infinity]^5)/3360 - 
     (383*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (7447*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (383*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-127*S[-1, Infinity]^6)/1440 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3023*S[-5, -1, Infinity] - 672*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^2*(-79*S[-5, -1, Infinity] - 
      84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 - 
   (S[-1, Infinity]*(-81*S[-5, 1, 1, Infinity] + 101*S[5, -1, -1, Infinity] + 
      384*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-5688640*S[-7, -1, Infinity] - 890389*S[5, 3, Infinity] - 
     549120*S[-5, -1, -1, -1, Infinity] - 570880*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 2867200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, -1, -1, 2, 1, -1, Infinity] -> 
  (-137*S[-1, Infinity]^8)/10080 + (1807*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (428063*S[2, Infinity]^4)/24500 + 
   ((-20199*S[-1, Infinity]^2)/1792 - (172205*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 + 
     (242119*S[-1, Infinity]*S[2, Infinity])/896 + (842321*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((2621*S[-1, Infinity]^4)/6720 - (947*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1549*S[-1, Infinity]^5)/2240 + 
     (359*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (417351*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (1713*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-77*S[-1, Infinity]^6)/720 + 
     (15*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(4083*S[-5, -1, Infinity] - 532*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (S[-1, Infinity]^2*(-3257*S[-5, -1, Infinity] + 
      1344*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (27112000*S[-7, -1, Infinity] + 4583659*S[5, 3, Infinity] + 
     3237120*S[-5, -1, -1, -1, Infinity] + 
     2318080*S[-5, -1, 1, 1, Infinity] - 215040*S[-1, 1, 1, 1, Infinity]^2 - 
     11468800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, -1, 2, -1, 1, Infinity] -> (11*S[-1, Infinity]^8)/2520 - 
   (4359*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (470891*S[2, Infinity]^4)/49000 + ((9567*S[-1, Infinity]^2)/1792 + 
     (123565*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 - (47989*S[-1, Infinity]*S[2, Infinity])/224 - 
     (363781*S[3, Infinity])/7168)*S[5, Infinity] + 
   (1749*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((5263*S[-1, Infinity]^4)/3360 - 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((143*S[-1, Infinity]^5)/140 - 
     (1749*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (296931*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (981*S[-1, 1, 1, 1, 1, Infinity])/14) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 32*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1717*S[-5, -1, Infinity] + 
       1764*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-14749760*S[-7, -1, Infinity] - 2695849*S[5, 3, Infinity] - 
     2238720*S[-5, -1, -1, -1, Infinity] - 861440*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 + 5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, -1, 2, -1, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/2520 - (651*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (3419533*S[2, Infinity]^4)/98000 + 
   ((165*S[-1, Infinity]^2)/112 + (25231*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((9703*S[-1, Infinity]^3)/192 - 
     (253921*S[-1, Infinity]*S[2, Infinity])/448 - (243035*S[3, Infinity])/
      896)*S[5, Infinity] - (25969*S[-1, Infinity]*S[7, Infinity])/112 + 
   (1821*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((1843*S[-1, Infinity]^4)/840 + 
     (768*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((1549*S[-1, Infinity]^5)/560 - (3343*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (243749*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (1956*S[-1, 1, 1, 1, 1, Infinity])/7) - 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/180 + (3160*S[-5, -1, Infinity])/
      7 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     20*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-321*S[-5, 1, 1, Infinity] + 
      428*S[5, -1, -1, Infinity] + 1344*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    14 + (-116700*S[-7, -1, Infinity] - 20123*S[5, 3, Infinity] - 
     15000*S[-5, -1, -1, -1, Infinity] - 9640*S[-5, -1, 1, 1, Infinity] - 
     560*S[-1, 1, 1, 1, Infinity]^2 + 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/70, S[-2, -1, -1, 1, 2, 1, Infinity] -> 
  (51*S[-1, Infinity]^8)/4480 + (13899*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (7036863*S[2, Infinity]^4)/392000 + 
   ((9483*S[-1, Infinity]^2)/448 - (12909*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-1209*S[-1, Infinity]^3)/32 + 
     (84153*S[-1, Infinity]*S[2, Infinity])/896 + (20527*S[3, Infinity])/224)*
    S[5, Infinity] + (1248747*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-109*S[-1, Infinity]^4)/2240 - 
     (1983*S[-1, 1, 1, 1, Infinity])/280) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((-811*S[-1, Infinity]^5)/672 + 
     (5863*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (18211*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (6115*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/480 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(3149*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (3*S[-1, Infinity]^2*(-811*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*S[-1, Infinity]*(205*S[-5, 1, 1, Infinity] - 
      159*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (3*(1561600*S[-7, -1, Infinity] + 238797*S[5, 3, Infinity] + 
      144000*S[-5, -1, -1, -1, Infinity] + 169600*S[-5, -1, 1, 1, Infinity] + 
      13440*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/8960, S[-2, -1, -1, 1, 2, -1, Infinity] -> 
  (3*S[-1, Infinity]^8)/280 - (6873*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (9789483*S[2, Infinity]^4)/784000 + 
   ((4689*S[-1, Infinity]^2)/448 + (16935*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-99969*S[-1, Infinity]*S[2, Infinity])/448 - 
     (137437*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((373*S[-1, Infinity]^4)/560 + 
     (1269*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((1537*S[-1, Infinity]^5)/3360 - 
     (7085*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (81563*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (57*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (5069*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/480 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*(-2679*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/
      56) + (3*S[-1, Infinity]^2*(711*S[-5, -1, Infinity] - 
      224*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (3*(843680*S[-7, -1, Infinity] + 144003*S[5, 3, Infinity] + 
      105920*S[-5, -1, -1, -1, Infinity] + 64320*S[-5, -1, 1, 1, Infinity] - 
      358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/4480, 
 S[-2, -1, -1, 1, 1, 2, Infinity] -> (137*S[-1, Infinity]^8)/13440 + 
   (1783*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (4402801*S[2, Infinity]^4)/392000 + 
   ((1775*S[-1, Infinity]^2)/448 + (24327*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (52659*S[-1, Infinity]*S[2, Infinity])/896 - (551*S[3, Infinity])/28)*
    S[5, Infinity] - (325531*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (291*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((643*S[-1, Infinity]^4)/840 + 
     (1117*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-241*S[-1, Infinity]^5)/1680 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (13477*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (47*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (1163*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-131*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (5*(727*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56) - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] + 155*S[5, -1, -1, Infinity] + 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2209120*S[-7, -1, Infinity] - 322177*S[5, 3, Infinity] - 
     213760*S[-5, -1, -1, -1, Infinity] - 184960*S[-5, -1, 1, 1, Infinity] + 
     40320*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-2, -1, -1, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/576 + (1177*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (3194327*S[2, Infinity]^4)/784000 + 
   ((-993*S[-1, Infinity]^2)/448 - (1185*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((2979*S[-1, Infinity]*S[2, Infinity])/112 + 
     (4805*S[3, Infinity])/896)*S[5, Infinity] - 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-39*S[-1, Infinity]^4)/1120 + 
     (3*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (776640*S[-7, -1, Infinity] + 108551*S[5, 3, Infinity] + 
     115200*S[-5, -1, -1, -1, Infinity] + 37120*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((559*S[-1, Infinity]^5)/6720 + 
     (319*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (11107*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-198*S[-5, -1, Infinity] + 203*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, -1, -1, 1, -1, 2, Infinity] -> (17*S[-1, Infinity]^8)/1152 + 
   (619*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (3112169*S[2, Infinity]^4)/784000 + 
   ((1209*S[-1, Infinity]^2)/896 + (15*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((15669*S[-1, Infinity]*S[2, Infinity])/896 - 
     (2945*S[3, Infinity])/448)*S[5, Infinity] - 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (17*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-391*S[-1, Infinity]^4)/672 + 
     (341*S[-1, 1, 1, 1, Infinity])/56) + 
   (538240*S[-7, -1, Infinity] + 93077*S[5, 3, Infinity] + 
     99840*S[-5, -1, -1, -1, Infinity] - 5760*S[-5, -1, 1, 1, Infinity] + 
     152320*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-2309*S[-1, Infinity]^5)/6720 + 
     (419*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1913*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, 1, 1, 1, 1, Infinity]/56) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-83*S[-5, -1, Infinity] + 63*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -1, -1, 1, -1, -2, Infinity] -> (-17*S[-1, Infinity]^8)/10080 - 
   (371*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (1592779*S[2, Infinity]^4)/156800 + 
   ((-12693*S[-1, Infinity]^2)/1792 + (29583*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((651*S[-1, Infinity]^3)/128 - 
     (23955*S[-1, Infinity]*S[2, Infinity])/448 - (190307*S[3, Infinity])/
      7168)*S[5, Infinity] + (21921*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (909*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-2431*S[-1, Infinity]^4)/6720 + 
     (877*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((3343*S[-1, Infinity]^5)/6720 - 
     (4057*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (26405*S[-1, Infinity]*S[2, Infinity]^2)/896 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (2713*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((9*S[-1, Infinity]^6)/80 - 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (4043*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity] - 
      32*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-1508288*S[-7, -1, Infinity] - 200185*S[5, 3, Infinity] - 
     103680*S[-5, -1, -1, -1, Infinity] - 175872*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2 + 860160*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, -1, -1, 1, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/64 + (351*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1230501*S[2, Infinity]^4)/392000 + 
   ((-4359*S[-1, Infinity]^2)/1792 - (639*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((40413*S[-1, Infinity]*S[2, Infinity])/896 + 
     (10813*S[3, Infinity])/7168)*S[5, Infinity] - 
   (321*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((327*S[-1, Infinity]^4)/1120 + 
     (699*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*(326080*S[-7, -1, Infinity] + 79089*S[5, 3, Infinity] + 
      136960*S[-5, -1, -1, -1, Infinity] - 83200*S[-5, -1, 1, 1, Infinity] + 
      107520*S[-1, 1, 1, 1, Infinity]^2))/35840 + 
   S[3, Infinity]*((-331*S[-1, Infinity]^5)/3360 + 
     (767*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (44651*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (137*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/32 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (3*(43*S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, -1, -1, 1, -2, -1, Infinity] -> (23*S[-1, Infinity]^8)/1680 + 
   (7131*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (9693*S[2, Infinity]^4)/400 + ((16257*S[-1, Infinity]^2)/1792 - 
     (40245*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-1395*S[-1, Infinity]^3)/32 + (367251*S[-1, Infinity]*S[2, Infinity])/
      896 + (188509*S[3, Infinity])/1024)*S[5, Infinity] + 
   (1401243*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (5511*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-197*S[-1, Infinity]^4)/160 - 
     (51*S[-1, 1, 1, 1, Infinity])/4) - S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[3, Infinity]*
    ((-2129*S[-1, Infinity]^5)/960 + (2207*S[-1, Infinity]^3*S[2, Infinity])/
      96 + (144037*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1739*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 - (1353*S[-5, -1, Infinity])/4 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (3*S[-1, Infinity]*(229*S[-5, 1, 1, Infinity] - 
      191*S[5, -1, -1, Infinity] - 896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (3*(420672*S[-7, -1, Infinity] + 69721*S[5, 3, Infinity] + 
      50432*S[-5, -1, -1, -1, Infinity] + 36096*S[-5, -1, 1, 1, Infinity] + 
      4096*S[-1, 1, 1, 1, Infinity]^2 - 163840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
        Infinity]))/1024, S[-2, -1, -1, -1, 2, 1, Infinity] -> 
  (13*S[-1, Infinity]^8)/1152 - (S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (80039*S[2, Infinity]^4)/156800 + ((-435*S[-1, Infinity]^2)/896 - 
     (1707*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((3225*S[-1, Infinity]*S[2, Infinity])/112 + (6049*S[3, Infinity])/3584)*
    S[5, Infinity] - (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((-779*S[-1, Infinity]^4)/6720 + 
     (1199*S[-1, 1, 1, 1, Infinity])/280) + 
   (116544*S[-7, -1, Infinity] + 19569*S[5, 3, Infinity] + 
     20736*S[-5, -1, -1, -1, Infinity] + 768*S[-5, -1, 1, 1, Infinity] + 
     23296*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-703*S[-1, Infinity]^5)/6720 + 
     (241*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1723*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((-5*S[-1, Infinity]^6)/96 - (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 + 12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(69*S[-5, -1, Infinity] - 364*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-2, -1, -1, -1, 2, -1, Infinity] -> (11*S[-1, Infinity]^8)/2520 + 
   (6871*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (419697*S[2, Infinity]^4)/12250 + ((3383*S[-1, Infinity]^2)/448 - 
     (96395*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-465*S[-1, Infinity]^3)/8 + (471451*S[-1, Infinity]*S[2, Infinity])/
      896 + (458511*S[3, Infinity])/1792)*S[5, Infinity] + 
   (1983433*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (3631*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1633*S[-1, Infinity]^4)/840 - 
     (796*S[-1, 1, 1, 1, Infinity])/35) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-635*S[-1, Infinity]^5)/224 + 
     (6343*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (485271*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (8055*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((79*S[-1, Infinity]^6)/720 - (3188*S[-5, -1, Infinity])/
      7 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(799*S[-5, 1, 1, Infinity] - 881*S[5, -1, -1, Infinity] - 
      3584*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1858240*S[-7, -1, Infinity] + 311881*S[5, 3, Infinity] + 
     226560*S[-5, -1, -1, -1, Infinity] + 158720*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-2, -1, -1, -1, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/288 + (2907*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (20103*S[2, Infinity]^4)/9800 + ((-507*S[-1, Infinity]^2)/224 - 
     (19195*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((22689*S[-1, Infinity]*S[2, Infinity])/448 + (149987*S[3, Infinity])/
      3584)*S[5, Infinity] - (209*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1433*S[-1, Infinity]^4)/3360 - 
     (179*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (335424*S[-7, -1, Infinity] + 83285*S[5, 3, Infinity] + 
     53504*S[-5, -1, -1, -1, Infinity] + 19072*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-683*S[-1, Infinity]^5)/3360 + 
     (725*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (18409*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (631*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1037*S[-5, -1, Infinity] - 588*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, -1, -1, 1, -2, Infinity] -> -S[-1, Infinity]^8/360 - 
   (156*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (20979233*S[2, Infinity]^4)/
    784000 + ((-23501*S[-1, Infinity]^2)/1792 + (98001*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1643*S[-1, Infinity]^3)/128 - 
     (116475*S[-1, Infinity]*S[2, Infinity])/896 - (633813*S[3, Infinity])/
      7168)*S[5, Infinity] + (265*S[-1, Infinity]*S[7, Infinity])/512 + 
   (2071*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((1391*S[-1, Infinity]^4)/6720 + 
     (2543*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((4307*S[-1, Infinity]^5)/3360 - 
     (7795*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (325883*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (6409*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((127*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2318*S[-5, -1, Infinity] + 63*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity] + 
      224*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-18822080*S[-7, -1, Infinity] - 2802837*S[5, 3, Infinity] - 
     1557760*S[-5, -1, -1, -1, Infinity] - 
     2062080*S[-5, -1, 1, 1, Infinity] - 143360*S[-1, 1, 1, 1, Infinity]^2 + 
     10035200*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -1, -1, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/210 - 
   (1811*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (835469*S[2, Infinity]^4)/39200 + ((-295*S[-1, Infinity]^2)/112 + 
     (30095*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/2 - (143691*S[-1, Infinity]*S[2, Infinity])/896 - 
     (13233*S[3, Infinity])/224)*S[5, Infinity] - 
   (1397*S[-1, Infinity]*S[7, Infinity])/16 + 
   (272*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((677*S[-1, Infinity]^4)/840 + 
     (76*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((739*S[-1, Infinity]^5)/840 - (5387*S[-1, Infinity]^3*S[2, Infinity])/
      672 - (10097*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (739*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/720 + (1166*S[-5, -1, Infinity])/
      7 + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-271872*S[-7, -1, Infinity] - 41107*S[5, 3, Infinity] - 
     27648*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/448, 
 S[-2, -1, -1, -1, -1, -2, Infinity] -> 
  (821*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (76023*S[2, Infinity]^4)/196000 + ((-363*S[-1, Infinity]^2)/112 - 
     (3613*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((19755*S[-1, Infinity]*S[2, Infinity])/448 + (99847*S[3, Infinity])/3584)*
    S[5, Infinity] - (48*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (194560*S[-7, -1, Infinity] + 40727*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-271*S[-1, Infinity]^4)/840 - 
     (44*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-431*S[-1, Infinity]^5)/6720 + (1397*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (29119*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (431*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - (158*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -1, -1, -2, 1, Infinity] -> (-23*S[-1, Infinity]^8)/2520 + 
   (17807*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (332431*S[2, Infinity]^4)/24500 + ((1325*S[-1, Infinity]^2)/128 - 
     (87249*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-465*S[-1, Infinity]^3)/8 + (22771*S[-1, Infinity]*S[2, Infinity])/128 + 
     (82925*S[3, Infinity])/896)*S[5, Infinity] + 
   (2309815*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((831*S[-1, Infinity]^4)/560 - 
     (1303*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1391*S[-1, Infinity]^5)/2240 + 
     (591*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (26793*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (7113*S[-1, 1, 1, 1, 1, Infinity])/56) + 4*S[-1, Infinity]^2*
    (-17*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-47*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-3005*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(673*S[-5, 1, 1, Infinity] - 
      1007*S[5, -1, -1, Infinity] - 3584*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28 + (14046400*S[-7, -1, Infinity] + 2294679*S[5, 3, Infinity] + 
     1719040*S[-5, -1, -1, -1, Infinity] + 
     1166080*S[-5, -1, 1, 1, Infinity] - 143360*S[-1, 1, 1, 1, Infinity]^2 - 
     5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, -1, -1, -1, -2, -1, Infinity] -> S[-1, Infinity]^8/2520 - 
   (1139*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (389411*S[2, Infinity]^4)/24500 + ((6529*S[-1, Infinity]^2)/896 + 
     (87081*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-259977*S[-1, Infinity]*S[2, Infinity])/896 - (169385*S[3, Infinity])/
      1792)*S[5, Infinity] + (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    3 + S[2, Infinity]^2*((4619*S[-1, Infinity]^4)/1680 + 
     (519*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((10403*S[-1, Infinity]^5)/6720 - (4183*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (7619*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (7463*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(1455*S[-5, -1, Infinity] - 
      448*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((-103*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (2921*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-14046400*S[-7, -1, Infinity] - 2294679*S[5, 3, Infinity] - 
     1719040*S[-5, -1, -1, -1, Infinity] - 
     1166080*S[-5, -1, 1, 1, Infinity] - 143360*S[-1, 1, 1, 1, Infinity]^2 + 
     5734400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[-2, -1, -1, -2, 1, 1, Infinity] -> S[-1, Infinity]^8/1152 - 
   (1727*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (485907*S[2, Infinity]^4)/392000 + 
   ((1101*S[-1, Infinity]^2)/896 - (2347*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((1311*S[-1, Infinity]*S[2, Infinity])/448 - 
     (23291*S[3, Infinity])/3584)*S[5, Infinity] + 
   (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/2240 + 
     (87*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (270400*S[-7, -1, Infinity] + 22703*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/840 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (4829*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (391*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/480 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (125*S[-5, -1, Infinity] - 588*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, -1, -2, 1, -1, Infinity] -> S[-1, Infinity]^8/140 - 
   (23437*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (28317901*S[2, Infinity]^4)/784000 + 
   ((-14199*S[-1, Infinity]^2)/1792 + (257801*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2821*S[-1, Infinity]^3)/64 - 
     (282509*S[-1, Infinity]*S[2, Infinity])/896 - (1473455*S[3, Infinity])/
      7168)*S[5, Infinity] - (97945*S[-1, Infinity]*S[7, Infinity])/512 + 
   (4825*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((2389*S[-1, Infinity]^4)/3360 + 
     (3113*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((4139*S[-1, Infinity]^5)/2240 - 
     (1145*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (649009*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (12417*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + (9607*S[-5, -1, Infinity])/28 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(-42*S[-5, 1, 1, Infinity] + 49*S[5, -1, -1, Infinity] + 
      192*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-41479360*S[-7, -1, Infinity] - 6807419*S[5, 3, Infinity] - 
     4670720*S[-5, -1, -1, -1, Infinity] - 
     3984640*S[-5, -1, 1, 1, Infinity] + 17203200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, -1, -2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/2520 + (5799*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (35477*S[2, Infinity]^4)/3500 + ((-59823*S[-1, Infinity]^2)/1792 - 
     (8247*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((3317*S[-1, Infinity]^3)/64 + (191939*S[-1, Infinity]*S[2, Infinity])/
      896 - (453*S[3, Infinity])/128)*S[5, Infinity] - 
   (1477489*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-503*S[-1, Infinity]^4)/240 + 
     8*S[-1, 1, 1, 1, Infinity]) + (7360*S[-7, -1, Infinity] + 
     2141*S[5, 3, Infinity] + 2880*S[-5, -1, -1, -1, Infinity] - 
     960*S[-5, -1, 1, 1, Infinity] + 640*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/80 + 
     (93*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (12199*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/240 + 25*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (39*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^2*(-163*S[-5, -1, Infinity] + 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-705*S[-5, 1, 1, Infinity] + 
      793*S[5, -1, -1, Infinity] + 2688*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/
    28, S[-2, -1, -1, -2, -1, -1, Infinity] -> (-19*S[-1, Infinity]^8)/2520 + 
   (3609*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (109857*S[2, Infinity]^4)/4000 + ((-2139*S[-1, Infinity]^2)/128 - 
     (23115*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((17229*S[-1, Infinity]*S[2, Infinity])/32 + (203043*S[3, Infinity])/1024)*
    S[5, Infinity] + S[2, Infinity]^2*((-209*S[-1, Infinity]^4)/96 - 
     (287*S[-1, 1, 1, 1, Infinity])/20) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/40 + 
     (391*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (112941*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (429*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 36*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1225*S[-5, -1, Infinity] - 
       192*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^2*(-767*S[-5, -1, Infinity] + 
      192*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   (6473920*S[-7, -1, Infinity] + 1115999*S[5, 3, Infinity] + 
     848640*S[-5, -1, -1, -1, Infinity] + 510720*S[-5, -1, 1, 1, Infinity] + 
     40960*S[-1, 1, 1, 1, Infinity]^2 - 2457600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-2, -1, -2, 1, 1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/8064 + (237*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (2946079*S[2, Infinity]^4)/784000 + 
   ((855*S[-1, Infinity]^2)/128 + (177*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 - 
     (1655*S[-1, Infinity]*S[2, Infinity])/64 - (3965*S[3, Infinity])/7168)*
    S[5, Infinity] + (358165*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-419*S[-1, Infinity]^4)/2240 - 
     (73*S[-1, 1, 1, 1, Infinity])/280) - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-913*S[-1, Infinity]^5)/3360 + 
     (797*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (1693*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (89*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-829*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(174*S[-5, 1, 1, Infinity] - 85*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1786560*S[-7, -1, Infinity] + 176431*S[5, 3, Infinity] - 
     78080*S[-5, -1, -1, -1, Infinity] + 364800*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, -2, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/630 - (2031*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2770021*S[2, Infinity]^4)/784000 + 
   ((411*S[-1, Infinity]^2)/224 + (18421*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1457*S[-1, Infinity]^3)/384 - 
     (17273*S[-1, Infinity]*S[2, Infinity])/224 - (79735*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*
    ((1993*S[-1, Infinity]^4)/6720 + (13*S[-1, 1, 1, 1, Infinity])/56) + 
   S[3, Infinity]*((421*S[-1, Infinity]^5)/1680 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (108421*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (421*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/720 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3581*S[-5, -1, Infinity] - 1260*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(937*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-7617600*S[-7, -1, Infinity] - 1202539*S[5, 3, Infinity] - 
     823040*S[-5, -1, -1, -1, Infinity] - 574720*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2 + 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, -2, 1, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^8)/3360 + (331*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (502101*S[2, Infinity]^4)/98000 + 
   ((-9963*S[-1, Infinity]^2)/1792 - (19689*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1457*S[-1, Infinity]^3)/384 + 
     (31517*S[-1, Infinity]*S[2, Infinity])/224 + (316927*S[3, Infinity])/
      7168)*S[5, Infinity] - (1107*S[-1, Infinity]^2*S[-5, -1, Infinity])/
    56 + S[2, Infinity]^2*((-319*S[-1, Infinity]^4)/1680 - 
     (39*S[-1, 1, 1, 1, Infinity])/28) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-1051*S[-1, Infinity]^5)/2240 + 
     (3265*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (198053*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (3433*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-199*S[-1, Infinity]^6)/1440 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (37*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (9*(-52*S[-5, -1, Infinity] - 49*S[-1, 1, 1, 1, 1, 1, Infinity]))/14) + 
   (9424320*S[-7, -1, Infinity] + 1585897*S[5, 3, Infinity] + 
     1416960*S[-5, -1, -1, -1, Infinity] + 410880*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, -2, 1, -1, -1, Infinity] -> 
  (167*S[-1, Infinity]^8)/10080 + (191*S[-1, Infinity]^2*S[2, Infinity]^3)/
    14 - (134961*S[2, Infinity]^4)/9800 + 
   ((1073*S[-1, Infinity]^2)/256 - (143337*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2201*S[-1, Infinity]^3)/192 + 
     (30381*S[-1, Infinity]*S[2, Infinity])/128 + (600303*S[3, Infinity])/
      7168)*S[5, Infinity] + (362995*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (391*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 + 
   S[2, Infinity]^2*((-4069*S[-1, Infinity]^4)/3360 - 
     (33*S[-1, 1, 1, 1, Infinity])/140) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (8*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-2777*S[-1, Infinity]^5)/1680 + 
     (1527*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (56047*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (139*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (6243*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/720 - (4903*S[-5, -1, Infinity])/
      28 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     23*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(328*S[-5, 1, 1, Infinity] - 113*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (4628544*S[-7, -1, Infinity] + 753573*S[5, 3, Infinity] + 
     532736*S[-5, -1, -1, -1, Infinity] + 395520*S[-5, -1, 1, 1, Infinity] + 
     100352*S[-1, 1, 1, 1, Infinity]^2 - 2007040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, -1, -2, -1, 1, 1, Infinity] -> 
  (293*S[-1, Infinity]^8)/8064 + (865*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (1589347*S[2, Infinity]^4)/112000 + 
   ((45*S[-1, Infinity]^2)/256 + (2079*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-903*S[-1, Infinity]*S[2, Infinity])/64 - 
     (21661*S[3, Infinity])/1024)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/8 - 
   (35*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((433*S[-1, Infinity]^4)/960 + 
     (381*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((-51*S[-1, Infinity]^5)/320 + (41*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (2999*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (127*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*((-71*S[-1, Infinity]^6)/360 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (21*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (97*S[-5, -1, Infinity] + 
       180*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-489280*S[-7, -1, Infinity] - 65733*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 96000*S[-5, -1, 1, 1, Infinity] + 
     69120*S[-1, 1, 1, 1, Infinity]^2 + 204800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-2, -1, -2, -1, 1, -1, Infinity] -> 
  (211*S[-1, Infinity]^8)/10080 + (2557*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (4144923*S[2, Infinity]^4)/784000 + 
   ((4793*S[-1, Infinity]^2)/1792 - (37719*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-961*S[-1, Infinity]^3)/128 + 
     (412*S[-1, Infinity]*S[2, Infinity])/7 + (21393*S[3, Infinity])/7168)*
    S[5, Infinity] + (183719*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (785*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-223*S[-1, Infinity]^4)/1120 + 
     (249*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-2609*S[-1, Infinity]^5)/6720 + 
     (739*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (19515*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1629*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - (1329*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]*(121*S[-5, 1, 1, Infinity] - 96*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (7060800*S[-7, -1, Infinity] + 1024757*S[5, 3, Infinity] + 
     695040*S[-5, -1, -1, -1, Infinity] + 541440*S[-5, -1, 1, 1, Infinity] + 
     215040*S[-1, 1, 1, 1, Infinity]^2 - 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, -2, -1, -1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/10080 - (10417*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (98671*S[2, Infinity]^4)/196000 + 
   ((11575*S[-1, Infinity]^2)/896 + (1461*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-2139*S[-1, Infinity]^3)/128 - 
     (48137*S[-1, Infinity]*S[2, Infinity])/224 - (301851*S[3, Infinity])/
      7168)*S[5, Infinity] + (311687*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((1641*S[-1, Infinity]^4)/1120 - 
     (681*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((1481*S[-1, Infinity]^5)/1344 - 
     (1149*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (251903*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (131*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (705*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(1565*S[-5, -1, Infinity] - 
      672*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (1795*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(139*S[-5, 1, 1, Infinity] - 344*S[5, -1, -1, Infinity] - 
      896*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-11965120*S[-7, -1, Infinity] - 2175911*S[5, 3, Infinity] - 
     1893120*S[-5, -1, -1, -1, Infinity] - 633600*S[-5, -1, 1, 1, Infinity] - 
     501760*S[-1, 1, 1, 1, Infinity]^2 + 4300800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -1, -2, -1, -1, -1, Infinity] -> 
  (29*S[-1, Infinity]^8)/1440 - (9843*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (598603*S[2, Infinity]^4)/28000 + 
   ((93*S[-1, Infinity]^2)/8 + (6815*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-9741*S[-1, Infinity]*S[2, Infinity])/32 - (119683*S[3, Infinity])/1024)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((607*S[-1, Infinity]^4)/480 + 
     (181*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((15*S[-1, Infinity]^5)/16 - (37*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (60421*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (245*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(403*S[-5, -1, Infinity] - 
      96*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/360 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 36*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (583*S[-5, -1, Infinity] + 
       240*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (-3514560*S[-7, -1, Infinity] - 607423*S[5, 3, Infinity] - 
     449280*S[-5, -1, -1, -1, Infinity] - 275200*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/5120, S[-2, -2, 1, 1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/384 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (14727*S[2, Infinity]^4)/22400 + (147*S[2, Infinity]*S[3, Infinity]^2)/
    256 + (1119*S[3, Infinity]*S[5, Infinity])/512 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/320 - (9*S[-1, 1, 1, 1, Infinity])/
      40) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   (3*(17*S[5, 3, Infinity] + 256*S[-1, 1, 1, 1, Infinity]^2))/512 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/320 - 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/8) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/96 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, -2, 1, 1, 1, -1, Infinity] -> (257*S[-1, Infinity]^8)/40320 + 
   (277*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (452929*S[2, Infinity]^4)/784000 + 
   ((3779*S[-1, Infinity]^2)/1792 + (9923*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (4995*S[-1, Infinity]*S[2, Infinity])/448 + (16255*S[3, Infinity])/7168)*
    S[5, Infinity] - (2165*S[-1, Infinity]*S[7, Infinity])/128 + 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((283*S[-1, Infinity]^4)/3360 + 
     (75*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-95*S[-1, Infinity]^5)/672 + (221*S[-1, Infinity]^3*S[2, Infinity])/
      224 - (809*S[-1, Infinity]*S[2, Infinity]^2)/896 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/720 + (113*S[-5, -1, Infinity])/
      28 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]) + 
   (-1227200*S[-7, -1, Infinity] - 231981*S[5, 3, Infinity] - 
     218880*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2 + 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -2, 1, 1, -1, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/2016 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (2914209*S[2, Infinity]^4)/784000 + 
   ((295*S[-1, Infinity]^2)/64 + (811*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/128 + (911*S[-1, Infinity]*S[2, Infinity])/128 + 
     (34977*S[3, Infinity])/3584)*S[5, Infinity] - 
   (323949*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/105 + 
     (43*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-1271*S[-1, Infinity]^5)/3360 + (1205*S[-1, Infinity]^3*S[2, Infinity])/
      672 + (1231*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (827*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/288 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-431*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(-3*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2 - 
   (S[-1, Infinity]*(78*S[-5, 1, 1, Infinity] + 169*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (413760*S[-7, -1, Infinity] + 7653*S[5, 3, Infinity] - 
     64000*S[-5, -1, -1, -1, Infinity] + 126720*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-2, -2, 1, 1, -1, -1, Infinity] -> 
  (-37*S[-1, Infinity]^8)/40320 - (171*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (988633*S[2, Infinity]^4)/196000 + 
   ((-923*S[-1, Infinity]^2)/1792 - (575*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((10329*S[-1, Infinity]*S[2, Infinity])/448 + 
     (67857*S[3, Infinity])/7168)*S[5, Infinity] + 
   S[2, Infinity]^2*((-1679*S[-1, Infinity]^4)/6720 - 
     (73*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((-107*S[-1, Infinity]^5)/840 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (42139*S[-1, Infinity]*S[2, Infinity]^2)/4480 + 
     (107*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/360 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-877*S[-5, -1, Infinity] - 812*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-255*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (2665280*S[-7, -1, Infinity] + 432993*S[5, 3, Infinity] + 
     290560*S[-5, -1, -1, -1, Infinity] + 229120*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -2, 1, -1, 1, 1, Infinity] -> 
  (31*S[-1, Infinity]^8)/10080 + (2951*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (2072907*S[2, Infinity]^4)/784000 + 
   ((-1019*S[-1, Infinity]^2)/896 - (5963*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-961*S[-1, Infinity]^3)/384 + 
     (12655*S[-1, Infinity]*S[2, Infinity])/896 + (66987*S[3, Infinity])/
      7168)*S[5, Infinity] + (111171*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((391*S[-1, Infinity]^4)/1680 + 
     (37*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/2240 + (S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (13497*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (57*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (85*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-135*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - 69*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (411200*S[-7, -1, Infinity] + 206727*S[5, 3, Infinity] + 
     244480*S[-5, -1, -1, -1, Infinity] - 47360*S[-5, -1, 1, 1, Infinity] + 
     716800*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/35840, 
 S[-2, -2, 1, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/360 + 
   (21*S[-1, Infinity]^4*S[2, Infinity]^2)/160 + 
   (453*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (52587*S[2, Infinity]^4)/22400 + ((23*S[-1, Infinity]^2)/256 + 
     (41*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 - (131*S[-1, Infinity]*S[2, Infinity])/128 - 
     (549*S[3, Infinity])/512)*S[5, Infinity] + 
   S[3, Infinity]*(S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/
      4 - (453*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     3*S[-1, 1, 1, 1, 1, Infinity]) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-13*S[-5, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/160 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-16*S[-5, -1, Infinity] + 
       37*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, -2, 1, -1, -1, 1, Infinity] -> (499*S[-1, Infinity]^8)/40320 + 
   (353*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (1476569*S[2, Infinity]^4)/156800 + 
   ((1539*S[-1, Infinity]^2)/1792 + (6007*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 - 
     (11425*S[-1, Infinity]*S[2, Infinity])/896 - (75081*S[3, Infinity])/
      7168)*S[5, Infinity] + (171*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[2, Infinity]^2*((-271*S[-1, Infinity]^4)/2240 + 
     (1289*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((653*S[-1, Infinity]^5)/6720 - 
     (169*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (32927*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (653*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/288 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (653*S[-5, -1, Infinity] + 1764*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-510656*S[-7, -1, Infinity] - 89883*S[5, 3, Infinity] - 
     43776*S[-5, -1, -1, -1, Infinity] - 60160*S[-5, -1, 1, 1, Infinity] + 
     32256*S[-1, 1, 1, 1, Infinity]^2 + 286720*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/7168, S[-2, -2, 1, -1, -1, -1, Infinity] -> 
  (7*S[-1, Infinity]^8)/1440 + (11*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (3383271*S[2, Infinity]^4)/392000 + 
   ((-4799*S[-1, Infinity]^2)/896 + (3855*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/192 - 
     (5797*S[-1, Infinity]*S[2, Infinity])/896 - (65237*S[3, Infinity])/3584)*
    S[5, Infinity] + (61345*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (131*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-551*S[-1, Infinity]^4)/1680 + 
     (633*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((2357*S[-1, Infinity]^5)/6720 - 
     (1643*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (6551*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (811*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/360 + (1119*S[-5, -1, Infinity])/
      28 - (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] - 68*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 - 
   (3*(541760*S[-7, -1, Infinity] + 54293*S[5, 3, Infinity] + 
      3840*S[-5, -1, -1, -1, Infinity] + 94720*S[-5, -1, 1, 1, Infinity] - 
      358400*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity]))/17920, 
 S[-2, -2, -1, 1, 1, 1, Infinity] -> (-241*S[-1, Infinity]^8)/40320 - 
   (999*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (61863*S[2, Infinity]^4)/196000 + ((-4223*S[-1, Infinity]^2)/1792 - 
     (3977*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/48 - (519*S[-1, Infinity]*S[2, Infinity])/448 + 
     (13943*S[3, Infinity])/3584)*S[5, Infinity] + 
   (7389*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[2, Infinity]^2*((-1517*S[-1, Infinity]^4)/6720 - 
     (219*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (-40640*S[-7, -1, Infinity] + 30549*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((859*S[-1, Infinity]^5)/3360 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (2299*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((101*S[-1, Infinity]^6)/1440 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (241*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(97*S[-5, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(-55*S[-5, 1, 1, Infinity] - 118*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28, 
 S[-2, -2, -1, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/5040 - 
   (317*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (561417*S[2, Infinity]^4)/392000 + 
   ((237*S[-1, Infinity]^2)/224 + (6267*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/384 - 
     (3803*S[-1, Infinity]*S[2, Infinity])/224 - (101905*S[3, Infinity])/
      7168)*S[5, Infinity] + S[2, Infinity]^2*((-141*S[-1, Infinity]^4)/448 + 
     (463*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/1120 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (16491*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (57*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(89*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/288 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-13*S[-5, -1, Infinity] + 140*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-492480*S[-7, -1, Infinity] - 145629*S[5, 3, Infinity] - 
     147200*S[-5, -1, -1, -1, Infinity] - 49920*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -2, -1, 1, -1, 1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/2520 - (783*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (223591*S[2, Infinity]^4)/78400 + 
   ((243*S[-1, Infinity]^2)/224 + (5107*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/384 - 
     (31369*S[-1, Infinity]*S[2, Infinity])/896 - (4051*S[3, Infinity])/896)*
    S[5, Infinity] + (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/84 - 
     (227*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((223*S[-1, Infinity]^5)/2240 - 
     (515*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (10321*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (809*S[-1, 1, 1, 1, 1, Infinity])/56) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/240 - (187*S[-5, -1, Infinity])/
      28 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (-50368*S[-7, -1, Infinity] - 8349*S[5, 3, Infinity] - 
     13824*S[-5, -1, -1, -1, Infinity] + 7552*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-2, -2, -1, 1, -1, -1, Infinity] -> 
  (-13*S[-1, Infinity]^8)/840 - (187*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (54597*S[2, Infinity]^4)/49000 + ((-6589*S[-1, Infinity]^2)/1792 + 
     (4883*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-589*S[-1, Infinity]^3)/384 - (27463*S[-1, Infinity]*S[2, Infinity])/
      896 + (38445*S[3, Infinity])/7168)*S[5, Infinity] + 
   (122053*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (237*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/1680 - 
     (759*S[-1, 1, 1, 1, Infinity])/140) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((537*S[-1, Infinity]^5)/1120 - 
     (1787*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (38841*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (211*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (2*S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((43*S[-1, Infinity]^6)/720 + (267*S[-5, -1, Infinity])/
      28 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-89*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-1549760*S[-7, -1, Infinity] - 167763*S[5, 3, Infinity] - 
     75520*S[-5, -1, -1, -1, Infinity] - 121600*S[-5, -1, 1, 1, Infinity] - 
     286720*S[-1, 1, 1, 1, Infinity]^2 + 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -2, -1, -1, 1, 1, Infinity] -> 
  (-199*S[-1, Infinity]^8)/8064 - (5353*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (9604031*S[2, Infinity]^4)/784000 + 
   ((1809*S[-1, Infinity]^2)/1792 + (625*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-29061*S[-1, Infinity]*S[2, Infinity])/896 + 
     (1957*S[3, Infinity])/7168)*S[5, Infinity] + 
   (201*S[-1, Infinity]^2*S[-5, -1, Infinity])/56 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/1344 - 
     (2929*S[-1, 1, 1, 1, Infinity])/280) + 
   (25*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/448 - 
     (799*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (35129*S[-1, Infinity]*S[2, Infinity]^2)/4480 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (335*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/360 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-563*S[-5, -1, Infinity] - 
       756*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (935360*S[-7, -1, Infinity] - 6801*S[5, 3, Infinity] - 
     257280*S[-5, -1, -1, -1, Infinity] + 490240*S[-5, -1, 1, 1, Infinity] - 
     376320*S[-1, 1, 1, 1, Infinity]^2 - 716800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -2, -1, -1, 1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/5040 - (2551*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (3328641*S[2, Infinity]^4)/392000 + 
   ((3217*S[-1, Infinity]^2)/448 + (3813*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (39611*S[-1, Infinity]*S[2, Infinity])/896 + (52825*S[3, Infinity])/
      1792)*S[5, Infinity] - (54889*S[-1, Infinity]*S[7, Infinity])/1024 + 
   (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*(6080*S[-7, -1, Infinity] + 5049*S[5, 3, Infinity] + 
      9920*S[-5, -1, -1, -1, Infinity] - 9920*S[-5, -1, 1, 1, Infinity]))/
    2240 + S[2, Infinity]^2*((447*S[-1, Infinity]^4)/560 - 
     (561*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-2069*S[-1, Infinity]^5)/6720 + 
     (1775*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (2817*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (667*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/120 - (186*S[-5, -1, Infinity])/
      7 + (17*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] + 21*S[5, -1, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4, 
 S[-2, -2, -1, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/168 - 
   (1399*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (801981*S[2, Infinity]^4)/98000 + ((2125*S[-1, Infinity]^2)/256 + 
     (911*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/128 + (297*S[-1, Infinity]*S[2, Infinity])/128 + 
     (198557*S[3, Infinity])/7168)*S[5, Infinity] - 
   (32243*S[-1, Infinity]*S[7, Infinity])/448 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/112 + 
     (519*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-835*S[-1, Infinity]^5)/1344 + 
     (491*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (8621*S[-1, Infinity]*S[2, Infinity]^2)/640 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (1515*S[-1, 1, 1, 1, 1, Infinity])/56) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-377*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-5*S[-5, -1, Infinity] + 
      16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8 - 
   (S[-1, Infinity]*(115*S[-5, 1, 1, Infinity] + 206*S[5, -1, -1, Infinity] + 
      112*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (1288640*S[-7, -1, Infinity] + 77187*S[5, 3, Infinity] - 
     231680*S[-5, -1, -1, -1, Infinity] + 428800*S[-5, -1, 1, 1, Infinity] + 
     286720*S[-1, 1, 1, 1, Infinity]^2 - 1433600*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/35840, S[-2, -2, -1, -1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/210 - (1653*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1601749*S[2, Infinity]^4)/196000 + 
   ((337*S[-1, Infinity]^2)/224 - (1565*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((1821*S[-1, Infinity]*S[2, Infinity])/112 + 
     (18133*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-353*S[-1, Infinity]^4)/420 - 
     (10*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/70 - (103*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (24349*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (191*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/36 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(-85*S[-5, -1, Infinity] - 77*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (S[-1, Infinity]^2*(-17*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (1640640*S[-7, -1, Infinity] + 185217*S[5, 3, Infinity] + 
     96000*S[-5, -1, -1, -1, Infinity] + 199680*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2 - 1075200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-3, 1, 1, 1, 1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (409*S[2, Infinity]^4)/1750 + 
   ((-5*S[-1, Infinity]^2)/16 - (3*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 + (S[-1, Infinity]*S[2, Infinity])/2 - 
     (95*S[3, Infinity])/256)*S[5, Infinity] - 
   (379*S[-1, Infinity]*S[7, Infinity])/256 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/240 + S[-1, 1, 1, 1, Infinity]/10) + 
   S[3, Infinity]*(S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/
      12 - (3*S[-1, Infinity]*S[2, Infinity]^2)/8 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(-(S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
     (3*S[-5, -1, Infinity] + 2*S[-1, 1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-30*S[-7, -1, Infinity] - 3*S[5, 3, Infinity] - 
     5*S[-5, -1, 1, 1, Infinity] - 10*S[-1, 1, 1, 1, Infinity]^2 - 
     20*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/10, 
 S[-3, 1, 1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/10080 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (498*S[2, Infinity]^4)/875 + 
   ((5*S[-1, Infinity]^2)/16 + (7*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/192 - (65*S[-1, Infinity]*S[2, Infinity])/64 - 
     (103*S[3, Infinity])/256)*S[5, Infinity] + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/80 - (7*S[-1, 1, 1, 1, Infinity])/
      10) + S[3, Infinity]*(-S[-1, Infinity]^5/120 - 
     (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/20 - (3*S[-1, 1, 1, 1, 1, Infinity])/
      4) + (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-S[-5, -1, Infinity] - 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 + S[-5, -1, Infinity] - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (-40*S[-7, -1, Infinity] - 3*S[5, 3, Infinity] - 
     5*S[-5, -1, 1, 1, Infinity] - 10*S[-1, 1, 1, 1, Infinity]^2 + 
     100*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/10, 
 S[-3, 1, 1, 1, -1, 1, Infinity] -> (59*S[-1, Infinity]^8)/20160 + 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (45659*S[2, Infinity]^4)/392000 + 
   (S[-1, Infinity]^2/448 - (1761*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/192 + (7079*S[-1, Infinity]*S[2, Infinity])/448 - 
     (1999*S[3, Infinity])/896)*S[5, Infinity] - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((163*S[-1, Infinity]^4)/3360 + 
     (19*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/420 + 
     (127*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (3419*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (165*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/720 - (179*S[-5, -1, Infinity])/
      28 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]) + 
   (20280*S[-7, -1, Infinity] + 3637*S[5, 3, Infinity] + 
     3040*S[-5, -1, -1, -1, Infinity] + 600*S[-5, -1, 1, 1, Infinity] + 
     560*S[-1, 1, 1, 1, Infinity]^2 - 11200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/560, S[-3, 1, 1, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/320 - (27*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (115959*S[2, Infinity]^4)/784000 + 
   ((-491*S[-1, Infinity]^2)/224 - (335*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/384 + 
     (8665*S[-1, Infinity]*S[2, Infinity])/896 - (20123*S[3, Infinity])/3584)*
    S[5, Infinity] + (5357*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((65*S[-1, Infinity]^4)/1344 + 
     (141*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/560 + (39*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (173*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (193*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-101*S[-1, Infinity]^6)/1440 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (379*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-55*S[-5, 1, 1, Infinity] - 20*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (63360*S[-7, -1, Infinity] + 43377*S[5, 3, Infinity] + 
     64000*S[-5, -1, -1, -1, Infinity] - 59520*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2 - 215040*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-3, 1, 1, -1, 1, 1, Infinity] -> 
  (11*S[-1, Infinity]^8)/1344 - (349*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1237559*S[2, Infinity]^4)/392000 + 
   ((31*S[-1, Infinity]^2)/56 + (1527*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-99*S[-1, Infinity]*S[2, Infinity])/7 - (12633*S[3, Infinity])/896)*
    S[5, Infinity] + (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((211*S[-1, Infinity]^4)/560 + 
     (6*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/3360 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (2211*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (331*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/720 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (569*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (-67040*S[-7, -1, Infinity] - 10091*S[5, 3, Infinity] - 
     5280*S[-5, -1, -1, -1, Infinity] - 8720*S[-5, -1, 1, 1, Infinity] + 
     3360*S[-1, 1, 1, 1, Infinity]^2 + 22400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-3, 1, 1, -1, 1, -1, Infinity] -> 
  (443*S[-1, Infinity]^8)/40320 - (311*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (87973*S[2, Infinity]^4)/784000 + 
   ((89*S[-1, Infinity]^2)/32 + (7543*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 - (2397*S[-1, Infinity]*S[2, Infinity])/64 - 
     (64587*S[3, Infinity])/3584)*S[5, Infinity] - 
   (260775*S[-1, Infinity]*S[7, Infinity])/7168 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/224 + 
     (1537*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-349*S[-1, Infinity]^5)/6720 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (1039*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (487*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-59*S[-1, Infinity]^6)/480 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (436*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 125*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-2129600*S[-7, -1, Infinity] - 379311*S[5, 3, Infinity] - 
     294400*S[-5, -1, -1, -1, Infinity] - 158080*S[-5, -1, 1, 1, Infinity] + 
     80640*S[-1, 1, 1, 1, Infinity]^2 + 501760*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-3, 1, 1, -1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (701*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (220329*S[2, Infinity]^4)/78400 + 
   ((393*S[-1, Infinity]^2)/224 + (3439*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 - 
     (14055*S[-1, Infinity]*S[2, Infinity])/896 + (543*S[3, Infinity])/224)*
    S[5, Infinity] - (193707*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/1120 - 
     (279*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((613*S[-1, Infinity]^5)/6720 - 
     (683*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (1149*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (187*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(137*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((47*S[-1, Infinity]^6)/480 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-47*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] + 99*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-48128*S[-7, -1, Infinity] - 13809*S[5, 3, Infinity] - 
     15616*S[-5, -1, -1, -1, Infinity] + 4864*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 3584*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-3, 1, 1, -1, -1, -1, Infinity] -> 
  (-31*S[-1, Infinity]^8)/40320 - (141*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (6651*S[2, Infinity]^4)/12250 + 
   ((-237*S[-1, Infinity]^2)/224 - (207*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-213*S[-1, Infinity]*S[2, Infinity])/448 + 
     (16777*S[3, Infinity])/1792)*S[5, Infinity] + 
   S[2, Infinity]^2*((71*S[-1, Infinity]^4)/6720 - 
     (701*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((191*S[-1, Infinity]^5)/1120 - 
     (643*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (55*S[-1, Infinity]*S[2, Infinity]^2)/28 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((143*S[-1, Infinity]^6)/1440 - 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (551*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-31*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   (-91600*S[-7, -1, Infinity] - 3653*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] - 15040*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2 + 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-3, 1, -1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/672 - (591*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (308767*S[2, Infinity]^4)/78400 + 
   ((-99*S[-1, Infinity]^2)/896 - (4147*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((33*S[-1, Infinity]*S[2, Infinity])/14 + 
     (22121*S[3, Infinity])/3584)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-151*S[-1, Infinity]^4)/1680 - 
     (187*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/3360 + 
     (89*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2171*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (285*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (2*(-75*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7) + 
   (173888*S[-7, -1, Infinity] + 17749*S[5, 3, Infinity] + 
     2816*S[-5, -1, -1, -1, Infinity] + 33024*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2 - 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-3, 1, -1, 1, 1, -1, Infinity] -> 
  (79*S[-1, Infinity]^8)/20160 + (877*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (74273*S[2, Infinity]^4)/98000 + 
   ((-85*S[-1, Infinity]^2)/448 - (7845*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (1881*S[-1, Infinity]*S[2, Infinity])/448 + (17063*S[3, Infinity])/896)*
    S[5, Infinity] + (3683*S[-1, Infinity]*S[7, Infinity])/1024 - 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-279*S[-1, Infinity]^4)/2240 - 
     (19*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/105 + 
     (219*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (2085*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (367*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/1440 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1231*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (194480*S[-7, -1, Infinity] + 31867*S[5, 3, Infinity] + 
     16000*S[-5, -1, -1, -1, Infinity] + 32160*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 8960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-3, 1, -1, 1, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/168 + (6431*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (277369*S[2, Infinity]^4)/112000 + 
   ((2267*S[-1, Infinity]^2)/1792 - (4681*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 + 
     (46479*S[-1, Infinity]*S[2, Infinity])/896 + (22075*S[3, Infinity])/512)*
    S[5, Infinity] - (26613*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-49*S[-1, Infinity]^4)/240 + 
     (13*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/48 + (57*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (1251*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (59*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(57*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4) + 
   (S[-1, Infinity]^2*(-345*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 - 
   (S[-1, Infinity]*(58*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (165440*S[-7, -1, Infinity] + 30829*S[5, 3, Infinity] + 
     21120*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity] + 
     5120*S[-1, 1, 1, 1, Infinity]^2 - 40960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1280, S[-3, 1, -1, 1, -1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/20160 + (233*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 - (1291567*S[2, Infinity]^4)/784000 + 
   ((-1221*S[-1, Infinity]^2)/1792 - (23543*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((37881*S[-1, Infinity]*S[2, Infinity])/896 + 
     (84411*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((-677*S[-1, Infinity]^4)/3360 - 
     (289*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-683*S[-1, Infinity]^5)/3360 + 
     (369*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (33577*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (317*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-429*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(-223*S[-5, -1, Infinity] + 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (888960*S[-7, -1, Infinity] + 148737*S[5, 3, Infinity] + 
     106880*S[-5, -1, -1, -1, Infinity] + 90240*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/8960, S[-3, 1, -1, -1, 1, 1, Infinity] -> 
  (599*S[-1, Infinity]^8)/40320 + (421*S[-1, Infinity]^2*S[2, Infinity]^3)/
    80 + (700057*S[2, Infinity]^4)/392000 + 
   ((9575*S[-1, Infinity]^2)/1792 - (4191*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1643*S[-1, Infinity]^3)/384 + 
     (23057*S[-1, Infinity]*S[2, Infinity])/896 + (36957*S[3, Infinity])/
      1792)*S[5, Infinity] + (19577*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (13*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[2, Infinity]^2*((1349*S[-1, Infinity]^4)/6720 + 
     (307*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-3937*S[-1, Infinity]^5)/6720 + 
     (311*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (6319*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (91*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (327*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-83*S[-1, Infinity]^6)/480 + 
     (13*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-1039*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(-515*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (262160*S[-7, -1, Infinity] + 48893*S[5, 3, Infinity] + 
     37120*S[-5, -1, -1, -1, Infinity] + 27840*S[-5, -1, 1, 1, Infinity] + 
     29120*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-3, 1, -1, -1, 1, -1, Infinity] -> 
  (37*S[-1, Infinity]^8)/10080 + (621*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (503673*S[2, Infinity]^4)/156800 + 
   ((3259*S[-1, Infinity]^2)/1792 + (6739*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 - 
     (1265*S[-1, Infinity]*S[2, Infinity])/448 - (36031*S[3, Infinity])/3584)*
    S[5, Infinity] + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/2240 + 
     (297*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-557*S[-1, Infinity]^5)/3360 + 
     (55*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (2613*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (227*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(-19*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/480 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-589*S[-5, -1, Infinity] + 448*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (4352*S[-7, -1, Infinity] - 6581*S[5, 3, Infinity] - 
     5632*S[-5, -1, -1, -1, Infinity] + 9216*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/3584, 
 S[-3, 1, -1, -1, -1, 1, Infinity] -> (227*S[-1, Infinity]^8)/40320 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - (1357039*S[2, Infinity]^4)/
    392000 + (-S[-1, Infinity]^2/7 - (5095*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/384 + 
     (5827*S[-1, Infinity]*S[2, Infinity])/896 + (3459*S[3, Infinity])/224)*
    S[5, Infinity] - (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-2153*S[-1, Infinity]^4)/6720 - 
     (619*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/840 + 
     (177*S[-1, Infinity]^3*S[2, Infinity])/224 + 
     (341*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (283*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/720 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-689*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (59540*S[-7, -1, Infinity] + 9281*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] + 9440*S[-5, -1, 1, 1, Infinity] + 
     1680*S[-1, 1, 1, 1, Infinity]^2 - 11200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1120, S[-3, 1, -1, -1, -1, -1, Infinity] -> 
  (3*S[-1, Infinity]^8)/448 + (2243*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1105317*S[2, Infinity]^4)/784000 + 
   ((-2649*S[-1, Infinity]^2)/896 - (2319*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (9069*S[-1, Infinity]*S[2, Infinity])/448 + (29021*S[3, Infinity])/1792)*
    S[5, Infinity] + (32777*S[-1, Infinity]*S[7, Infinity])/896 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-281*S[-1, Infinity]^4)/672 - 
     (67*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/6720 + 
     (295*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (15081*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (375*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (-1093*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] - 106*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (312320*S[-7, -1, Infinity] + 55059*S[5, 3, Infinity] + 
     40000*S[-5, -1, -1, -1, Infinity] + 28320*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2 - 8960*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-3, -1, 1, 1, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/20160 + (557*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (146109*S[2, Infinity]^4)/56000 + 
   ((9*S[-1, Infinity]^2)/128 + (169*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-3*S[-1, Infinity]*S[2, Infinity])/2 - (1559*S[3, Infinity])/512)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/12 + (18*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(S[-1, Infinity]^5/160 - 
     (S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    (-S[-1, Infinity]^6/360 + 7*S[-5, -1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, 1, Infinity]) + 
   (-52160*S[-7, -1, Infinity] - 6651*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] + 
     5120*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-3, -1, 1, 1, 1, -1, Infinity] -> (-103*S[-1, Infinity]^8)/13440 - 
   (551*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (480521*S[2, Infinity]^4)/392000 + 
   ((-1201*S[-1, Infinity]^2)/448 - (349*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (387*S[-1, Infinity]*S[2, Infinity])/112 + (1005*S[3, Infinity])/224)*
    S[5, Infinity] + (1433*S[-1, Infinity]*S[7, Infinity])/512 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-1261*S[-1, Infinity]^4)/3360 - 
     (169*S[-1, 1, 1, 1, Infinity])/56) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/8 + 
   S[3, Infinity]*((1579*S[-1, Infinity]^5)/6720 - 
     (227*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (2587*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (177*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/20 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (445*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/2 + 
   (-112480*S[-7, -1, Infinity] - 4279*S[5, 3, Infinity] + 
     5760*S[-5, -1, -1, -1, Infinity] - 15840*S[-5, -1, 1, 1, Infinity] - 
     20160*S[-1, 1, 1, 1, Infinity]^2 + 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-3, -1, 1, 1, -1, 1, Infinity] -> 
  (-59*S[-1, Infinity]^8)/5040 - (249*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (1676953*S[2, Infinity]^4)/392000 + 
   ((-401*S[-1, Infinity]^2)/256 - (5479*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/128 - 
     (257*S[-1, Infinity]*S[2, Infinity])/128 + (11447*S[3, Infinity])/3584)*
    S[5, Infinity] + (21705*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((253*S[-1, Infinity]^4)/672 - 
     (81*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/448 - 
     (463*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (307*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     (-47*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(3*S[-5, -1, Infinity] + 
      4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4 - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] - 78*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (325440*S[-7, -1, Infinity] + 68507*S[5, 3, Infinity] + 
     37120*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-3, -1, 1, 1, -1, -1, Infinity] -> 
  (-293*S[-1, Infinity]^8)/40320 - (1243*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (158463*S[2, Infinity]^4)/196000 + 
   ((2217*S[-1, Infinity]^2)/1792 + (11747*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-2235*S[-1, Infinity]*S[2, Infinity])/112 - 
     (67745*S[3, Infinity])/3584)*S[5, Infinity] + 
   S[2, Infinity]^2*((299*S[-1, Infinity]^4)/448 - 
     (299*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/420 + 
     (451*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (7111*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^2*(33*S[-5, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/288 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4*S[-5, -1, Infinity] + 49*S[-1, 1, 1, 1, 1, 1, Infinity])/7) + 
   (-275200*S[-7, -1, Infinity] - 108669*S[5, 3, Infinity] - 
     75520*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     62720*S[-1, 1, 1, 1, Infinity]^2 - 143360*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-3, -1, 1, -1, 1, 1, Infinity] -> 
  (101*S[-1, Infinity]^8)/20160 - (67*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (11201*S[2, Infinity]^4)/15680 + 
   ((7697*S[-1, Infinity]^2)/1792 + (2351*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 - 
     (9161*S[-1, Infinity]*S[2, Infinity])/448 + (4387*S[3, Infinity])/1792)*
    S[5, Infinity] + (13073*S[-1, Infinity]*S[7, Infinity])/7168 + 
   S[2, Infinity]^2*((571*S[-1, Infinity]^4)/3360 + 
     (9*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/280 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/672 - 
     (6939*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-73*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (167*S[-5, -1, Infinity] - 98*S[-1, 1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^2*(93*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] - 55*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-125696*S[-7, -1, Infinity] - 25615*S[5, 3, Infinity] - 
     22016*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2 + 71680*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/3584, S[-3, -1, 1, -1, 1, -1, Infinity] -> 
  (17*S[-1, Infinity]^8)/5040 - (239*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (1906119*S[2, Infinity]^4)/784000 + 
   ((5189*S[-1, Infinity]^2)/1792 + (30449*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 - 
     (43433*S[-1, Infinity]*S[2, Infinity])/896 - (78849*S[3, Infinity])/
      3584)*S[5, Infinity] + S[2, Infinity]^2*((389*S[-1, Infinity]^4)/1680 + 
     (181*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((397*S[-1, Infinity]^5)/3360 - 
     (397*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (27343*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (397*S[-1, 1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(435*S[-5, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (927*S[-5, -1, Infinity] + 392*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-398240*S[-7, -1, Infinity] - 78377*S[5, 3, Infinity] - 
     64000*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/4480, 
 S[-3, -1, 1, -1, -1, 1, Infinity] -> (53*S[-1, Infinity]^8)/4032 - 
   (741*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (33987*S[2, Infinity]^4)/16000 + 
   ((9*S[-1, Infinity]^2)/32 - (101*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 - (79*S[-1, Infinity]*S[2, Infinity])/8 + 
     (4013*S[3, Infinity])/256)*S[5, Infinity] + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/80 + 
     (13*S[-1, 1, 1, 1, Infinity])/4) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/96 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/96 - 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (35*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/144 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-23*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])/4) + 
   (40*S[-7, -1, Infinity] + 981*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 800*S[-5, -1, 1, 1, Infinity] + 
     1920*S[-1, 1, 1, 1, Infinity]^2 + 640*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/320, S[-3, -1, 1, -1, -1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/1260 + (107*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (407019*S[2, Infinity]^4)/392000 + 
   ((2561*S[-1, Infinity]^2)/896 - (295*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1333*S[-1, Infinity]^3)/384 - 
     (583*S[-1, Infinity]*S[2, Infinity])/112 + (35635*S[3, Infinity])/1792)*
    S[5, Infinity] - (27549*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-725*S[-1, Infinity]^4)/1344 + 
     (493*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-529*S[-1, Infinity]^5)/1680 + 
     (109*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (10067*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (323*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/240 - (393*S[-5, -1, Infinity])/
      28 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2) - 
   (S[-1, Infinity]*(62*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (50640*S[-7, -1, Infinity] + 6679*S[5, 3, Infinity] - 
     2880*S[-5, -1, -1, -1, Infinity] + 24160*S[-5, -1, 1, 1, Infinity] + 
     31360*S[-1, 1, 1, 1, Infinity]^2 + 44800*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/4480, S[-3, -1, -1, 1, 1, 1, Infinity] -> 
  (-377*S[-1, Infinity]^8)/40320 - (2509*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (367579*S[2, Infinity]^4)/392000 + 
   ((-1707*S[-1, Infinity]^2)/448 + (671*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/128 - 
     (18875*S[-1, Infinity]*S[2, Infinity])/896 - (50969*S[3, Infinity])/
      3584)*S[5, Infinity] + (4049*S[-1, Infinity]*S[7, Infinity])/1024 + 
   S[2, Infinity]^2*((-2089*S[-1, Infinity]^4)/6720 - 
     (487*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   S[3, Infinity]*((947*S[-1, Infinity]^5)/2240 - 
     (653*S[-1, Infinity]^3*S[2, Infinity])/224 - 
     (2977*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (159*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   (S[-1, Infinity]^2*(225*S[-5, -1, Infinity] - 
      28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/360 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (236*S[-5, -1, Infinity] + 77*S[-1, 1, 1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity] - 
      8*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/4 + 
   (-813760*S[-7, -1, Infinity] - 137219*S[5, 3, Infinity] - 
     81920*S[-5, -1, -1, -1, Infinity] - 119680*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2 - 179200*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-3, -1, -1, 1, 1, -1, Infinity] -> 
  (19*S[-1, Infinity]^8)/5040 - (2207*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (26569*S[2, Infinity]^4)/98000 + 
   ((57*S[-1, Infinity]^2)/56 + (2453*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/128 - (6207*S[-1, Infinity]*S[2, Infinity])/448 - 
     (32783*S[3, Infinity])/3584)*S[5, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-1151*S[-1, Infinity]^4)/6720 + 
     (1151*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*(S[-1, Infinity]^5/336 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (703*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/1440 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/4 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (1217*S[-5, -1, Infinity] - 616*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^2*(67*S[-5, -1, Infinity] - 
      14*S[-1, 1, 1, 1, 1, 1, Infinity]))/14 + 
   (-824960*S[-7, -1, Infinity] - 146501*S[5, 3, Infinity] - 
     99840*S[-5, -1, -1, -1, Infinity] - 101760*S[-5, -1, 1, 1, Infinity] + 
     89600*S[-1, 1, 1, 1, Infinity]^2 + 35840*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-3, -1, -1, 1, -1, 1, Infinity] -> 
  (-77*S[-1, Infinity]^8)/5760 - (1137*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (46111*S[2, Infinity]^4)/31360 + 
   ((-927*S[-1, Infinity]^2)/896 - (6841*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/128 + 
     (17823*S[-1, Infinity]*S[2, Infinity])/896 - (3571*S[3, Infinity])/896)*
    S[5, Infinity] - (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-569*S[-1, Infinity]^4)/2240 - 
     (59*S[-1, 1, 1, 1, Infinity])/56) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/24 + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/1680 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (3933*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-65*S[-5, -1, Infinity] - 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (37232*S[-7, -1, Infinity] + 8123*S[5, 3, Infinity] + 
     6592*S[-5, -1, -1, -1, Infinity] + 1696*S[-5, -1, 1, 1, Infinity] - 
     4032*S[-1, 1, 1, 1, Infinity]^2 - 25088*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/896, S[-3, -1, -1, 1, -1, -1, Infinity] -> 
  (-53*S[-1, Infinity]^8)/3360 - (79*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (2735637*S[2, Infinity]^4)/784000 + 
   ((-1045*S[-1, Infinity]^2)/896 - (1215*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 - 
     (933*S[-1, Infinity]*S[2, Infinity])/448 + (9841*S[3, Infinity])/3584)*
    S[5, Infinity] - (188861*S[-1, Infinity]*S[7, Infinity])/7168 - 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/560 - 
     (1129*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((787*S[-1, Infinity]^5)/6720 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/672 + 
     (317*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/8 - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^3*S[-1, 1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/144 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - (13*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
        Infinity])/2 + (-179*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-16*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (100480*S[-7, -1, Infinity] + 41819*S[5, 3, Infinity] + 
     57600*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 - 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-3, -1, -1, -1, 1, 1, Infinity] -> 
  (-143*S[-1, Infinity]^8)/10080 - (121*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (446307*S[2, Infinity]^4)/156800 + 
   ((1107*S[-1, Infinity]^2)/896 + (11035*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-369*S[-1, Infinity]*S[2, Infinity])/14 - 
     (9983*S[3, Infinity])/448)*S[5, Infinity] + 
   (123*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/1120 - 
     (43*S[-1, 1, 1, 1, Infinity])/140) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/560 - 
     (157*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (11827*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (397*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/240 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (1291*S[-5, -1, Infinity] + 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56) + 
   (-142720*S[-7, -1, Infinity] - 25965*S[5, 3, Infinity] - 
     15744*S[-5, -1, -1, -1, Infinity] - 13376*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2 + 21504*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/1792, S[-3, -1, -1, -1, 1, -1, Infinity] -> 
  (-47*S[-1, Infinity]^8)/3360 - (1087*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (2124197*S[2, Infinity]^4)/784000 + 
   ((1815*S[-1, Infinity]^2)/896 + (8479*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (40057*S[-1, Infinity]*S[2, Infinity])/896 - (82053*S[3, Infinity])/
      3584)*S[5, Infinity] - (74891*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (267*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((1363*S[-1, Infinity]^4)/6720 - 
     (143*S[-1, 1, 1, 1, Infinity])/70) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((69*S[-1, Infinity]^5)/280 - 
     (365*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (4629*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (583*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((71*S[-1, Infinity]^6)/720 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity])/2 + 
     (2125*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity] + 
      14*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/7 + 
   (-2425600*S[-7, -1, Infinity] - 429871*S[5, 3, Infinity] - 
     326400*S[-5, -1, -1, -1, Infinity] - 193280*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2 + 358400*S[-1, 1, 1, 1, 1, 1, 1, 1, 
       Infinity])/17920, S[-3, -1, -1, -1, -1, 1, Infinity] -> 
  (-101*S[-1, Infinity]^8)/20160 - (5489*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (151351*S[2, Infinity]^4)/56000 + 
   ((1119*S[-1, Infinity]^2)/448 + (1837*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/128 - 
     (34241*S[-1, Infinity]*S[2, Infinity])/896 - (12149*S[3, Infinity])/512)*
    S[5, Infinity] - (78489*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/32 + S[-1, 1, 1, 1, Infinity]/
      10) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/120 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (12361*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   (S[-1, Infinity]^2*(481*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/1440 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (159*S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 64*S[5, -1, -1, Infinity] - 
      56*S[-1, 1, 1, 1, 1, 1, 1, Infinity]))/28 + 
   (-191360*S[-7, -1, Infinity] - 42261*S[5, 3, Infinity] - 
     38400*S[-5, -1, -1, -1, Infinity] - 13440*S[-5, -1, 1, 1, Infinity] - 
     25600*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/2560, 
 S[-3, -1, -1, -1, -1, -1, Infinity] -> (-11*S[-1, Infinity]^8)/2240 - 
   (409*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (107921*S[2, Infinity]^4)/392000 + 
   ((437*S[-1, Infinity]^2)/224 + (2795*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-501*S[-1, Infinity]*S[2, Infinity])/14 - 
     (86469*S[3, Infinity])/3584)*S[5, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((391*S[-1, Infinity]^4)/1680 + 
     (12*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((53*S[-1, Infinity]^5)/420 - (61*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (6443*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (177*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^2*(383*S[-5, -1, Infinity] + 
      56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (317*S[-5, -1, Infinity] + 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14) + 
   (-1320960*S[-7, -1, Infinity] - 272309*S[5, 3, Infinity] - 
     204800*S[-5, -1, -1, -1, Infinity] - 113280*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, 1, 1, 1, 1, Infinity])/17920, 
 S[4, 1, 1, 1, 1, Infinity] -> (708*S[2, Infinity]^4)/875 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - (9*S[3, Infinity]*S[5, Infinity])/
    2 - (3*S[5, 3, Infinity])/10, S[4, 1, 1, 1, -1, Infinity] -> 
  (-213*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (32687*S[2, Infinity]^4)/49000 + ((-1473*S[-1, Infinity]^2)/896 + 
     (2231*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/64 - (3531*S[-1, Infinity]*S[2, Infinity])/448 - 
     (23475*S[3, Infinity])/3584)*S[5, Infinity] - 
   (1391*S[-1, Infinity]*S[7, Infinity])/256 + 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 + 
   (-509760*S[-7, -1, Infinity] - 65551*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-283*S[-1, Infinity]^4)/3360 + 
     (27*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((79*S[-1, Infinity]^5)/1120 - (107*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (11127*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (237*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 + 
     (143*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[4, 1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (79*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (188213*S[2, Infinity]^4)/
    196000 + ((3*S[-1, Infinity]^2)/64 + (677*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (67*S[-1, Infinity]*S[2, Infinity])/64 + (787*S[3, Infinity])/224)*
    S[5, Infinity] - (63671*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((163*S[-1, Infinity]^4)/840 + 
     (83*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-151360*S[-7, -1, Infinity] - 17643*S[5, 3, Infinity] - 
     11520*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-191*S[-1, Infinity]^5)/3360 + 
     (87*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (159*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (41*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[4, 1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/576 + 
   (183*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (26013*S[2, Infinity]^4)/98000 + ((507*S[-1, Infinity]^2)/896 - 
     (1545*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((4245*S[-1, Infinity]*S[2, Infinity])/448 - (4413*S[3, Infinity])/3584)*
    S[5, Infinity] - (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/84 - 
     (15*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (375360*S[-7, -1, Infinity] + 37257*S[5, 3, Infinity] + 
     47360*S[-5, -1, -1, -1, Infinity] + 42240*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/1120 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (8229*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-87*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[4, 1, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (353*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (17569*S[2, Infinity]^4)/19600 + ((3039*S[-1, Infinity]^2)/896 - 
     (6535*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 + (4813*S[-1, Infinity]*S[2, Infinity])/224 + 
     (40183*S[3, Infinity])/1792)*S[5, Infinity] - 
   (2681*S[-1, Infinity]*S[7, Infinity])/256 - 
   (185*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/70 + (153*S[-1, 1, 1, 1, Infinity])/
      140) + (87552*S[-7, -1, Infinity] + 15587*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] + 
     5376*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-115*S[-1, Infinity]^5)/336 + 
     (193*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1669*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (415*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-499*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[4, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/288 + 
   (897*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (6269*S[2, Infinity]^4)/196000 + ((743*S[-1, Infinity]^2)/896 - 
     (15*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/64 - (129*S[-1, Infinity]*S[2, Infinity])/224 + 
     (8123*S[3, Infinity])/1792)*S[5, Infinity] - 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-167*S[-1, Infinity]^4)/3360 - 
     (323*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (334720*S[-7, -1, Infinity] + 43621*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] + 56320*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/336 + 
     (85*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (863*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (85*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-653*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[4, 1, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (493*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (39973*S[2, Infinity]^4)/196000 + ((-351*S[-1, Infinity]^2)/896 - 
     (1349*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/64 + (3093*S[-1, Infinity]*S[2, Infinity])/448 + 
     (54797*S[3, Infinity])/3584)*S[5, Infinity] - 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (31*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-1597*S[-1, Infinity]^4)/3360 + 
     (337*S[-1, 1, 1, 1, Infinity])/140) + 
   (233280*S[-7, -1, Infinity] + 104789*S[5, 3, Infinity] + 
     49920*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/840 - 
     (S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (9059*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (59*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, 1, -1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (261*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (92853*S[2, Infinity]^4)/392000 + ((3933*S[-1, Infinity]^2)/896 - 
     (1041*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/32 + (13627*S[-1, Infinity]*S[2, Infinity])/896 + 
     (68525*S[3, Infinity])/3584)*S[5, Infinity] - 
   (11449*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (151*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-4379*S[-1, Infinity]^4)/6720 + 
     (1089*S[-1, 1, 1, 1, Infinity])/280) + 
   (695040*S[-7, -1, Infinity] + 123667*S[5, 3, Infinity] + 
     55040*S[-5, -1, -1, -1, Infinity] + 115200*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-1333*S[-1, Infinity]^5)/3360 + 
     (605*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (12359*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (353*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-979*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[4, -1, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (69*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (396443*S[2, Infinity]^4)/
    392000 + ((-261*S[-1, Infinity]^2)/112 + (11*S[2, Infinity])/7)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/96 - 
     (765*S[-1, Infinity]*S[2, Infinity])/56 - (1181*S[3, Infinity])/448)*
    S[5, Infinity] + (2439*S[-1, Infinity]*S[7, Infinity])/256 + 
   (111*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/224 - 
     (16*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-199040*S[-7, -1, Infinity] - 31529*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((12*S[-1, Infinity]^5)/35 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (3839*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((59*S[-1, Infinity]^6)/720 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (207*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[4, -1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/192 - 
   (129*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (127059*S[2, Infinity]^4)/392000 + 
   ((19*S[-1, Infinity]^2)/14 + (6259*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 - (7471*S[-1, Infinity]*S[2, Infinity])/
      448 - (4639*S[3, Infinity])/448)*S[5, Infinity] + 
   (97*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/3360 + 
     (317*S[-1, 1, 1, 1, Infinity])/140) + 
   (-302080*S[-7, -1, Infinity] - 65843*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/672 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (865*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (25*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + (135*S[-5, -1, Infinity])/14 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[4, -1, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (15987*S[2, Infinity]^4)/
    24500 + ((27*S[-1, Infinity]^2)/448 - (111*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/192 - 
     (1661*S[-1, Infinity]*S[2, Infinity])/448 - (997*S[3, Infinity])/112)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/3360 - 
     (103*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-43520*S[-7, -1, Infinity] - 263*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] - 4800*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/840 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (341*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 + 
     (235*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[4, -1, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (799*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1294749*S[2, Infinity]^4)/784000 + 
   ((237*S[-1, Infinity]^2)/448 - (141*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/48 - (1023*S[-1, Infinity]*S[2, Infinity])/224 + 
     (19577*S[3, Infinity])/1792)*S[5, Infinity] - 
   (1299*S[-1, Infinity]*S[7, Infinity])/224 - 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((71*S[-1, Infinity]^4)/840 - 
     (389*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (18880*S[-7, -1, Infinity] + 7851*S[5, 3, Infinity] + 
     8640*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/336 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (783*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(129*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[4, -1, -1, 1, 1, Infinity] -> (-701*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (121067*S[2, Infinity]^4)/392000 + 
   ((621*S[-1, Infinity]^2)/896 + (5349*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-207*S[-1, Infinity]*S[2, Infinity])/14 - 
     (46387*S[3, Infinity])/3584)*S[5, Infinity] + 
   (69*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (-579520*S[-7, -1, Infinity] - 125183*S[5, 3, Infinity] - 
     88320*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((433*S[-1, Infinity]^4)/1680 - 
     (83*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/70 - (69*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (14061*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (121*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[4, -1, -1, 1, -1, Infinity] -> (-3617*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (2509651*S[2, Infinity]^4)/784000 + 
   ((-493*S[-1, Infinity]^2)/224 + (6579*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 - 
     (23593*S[-1, Infinity]*S[2, Infinity])/896 - (5513*S[3, Infinity])/896)*
    S[5, Infinity] - (6703*S[-1, Infinity]*S[7, Infinity])/512 + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    2 + (-544640*S[-7, -1, Infinity] - 92679*S[5, 3, Infinity] - 
     58880*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((2321*S[-1, Infinity]^4)/6720 - 
     (431*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/84 - 
     (313*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (697*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (185*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(331*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[4, -1, -1, -1, 1, Infinity] -> (-2467*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (478263*S[2, Infinity]^4)/196000 + 
   ((2607*S[-1, Infinity]^2)/896 + (13641*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (18183*S[-1, Infinity]*S[2, Infinity])/448 - (18089*S[3, Infinity])/896)*
    S[5, Infinity] - (6709*S[-1, Infinity]*S[7, Infinity])/224 + 
   (257*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity]))/
    14 + (-780160*S[-7, -1, Infinity] - 165863*S[5, 3, Infinity] - 
     144640*S[-5, -1, -1, -1, Infinity] - 43520*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((223*S[-1, Infinity]^4)/1120 + 
     (34*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((67*S[-1, Infinity]^5)/672 - (131*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (13347*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (335*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/720 + 
     (1125*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[4, -1, -1, -1, -1, Infinity] -> (-116*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 + (171243*S[2, Infinity]^4)/784000 + 
   ((181*S[-1, Infinity]^2)/112 + (2213*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-3075*S[-1, Infinity]*S[2, Infinity])/112 - 
     (77601*S[3, Infinity])/3584)*S[5, Infinity] + 
   (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (130*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-1018880*S[-7, -1, Infinity] - 214201*S[5, 3, Infinity] - 
     147200*S[-5, -1, -1, -1, Infinity] - 94720*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((173*S[-1, Infinity]^4)/840 + 
     (37*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((37*S[-1, Infinity]^5)/420 - (137*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (19949*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (74*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 2, 1, 1, 1, Infinity] -> 
  (-661*S[2, Infinity]^4)/375 - S[2, Infinity]*S[3, Infinity]^2 + 
   13*S[3, Infinity]*S[5, Infinity] + (2*S[5, 3, Infinity])/5, 
 S[3, 2, 1, 1, -1, Infinity] -> (1683*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1316173*S[2, Infinity]^4)/588000 + 
   ((705*S[-1, Infinity]^2)/224 - (2735*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/64 + 
     (8749*S[-1, Infinity]*S[2, Infinity])/448 + (14849*S[3, Infinity])/896)*
    S[5, Infinity] + (9505*S[-1, Infinity]*S[7, Infinity])/512 - 
   (36*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   (143960*S[-7, -1, Infinity] + 18689*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((249*S[-1, Infinity]^4)/2240 - 
     (467*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-383*S[-1, Infinity]^5)/3360 + 
     (733*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (7289*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (157*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (-1137*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[3, 2, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (2453*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (5525479*S[2, Infinity]^4)/2352000 + 
   ((-3135*S[-1, Infinity]^2)/896 + (7041*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 - 
     (7713*S[-1, Infinity]*S[2, Infinity])/448 - (44699*S[3, Infinity])/1792)*
    S[5, Infinity] + (10559*S[-1, Infinity]*S[7, Infinity])/256 + 
   (109*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-333*S[-1, Infinity]^4)/2240 - 
     (821*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-154880*S[-7, -1, Infinity] - 77111*S[5, 3, Infinity] - 
     40960*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/210 - 
     (367*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (16521*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (619*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[3, 2, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/192 - 
   (1003*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (181921*S[2, Infinity]^4)/588000 + 
   ((-571*S[-1, Infinity]^2)/448 + (3243*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-26301*S[-1, Infinity]*S[2, Infinity])/896 - 
     (199*S[3, Infinity])/28)*S[5, Infinity] + 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/70 + 
     (207*S[-1, 1, 1, 1, Infinity])/70) + 
   (-1115200*S[-7, -1, Infinity] - 173601*S[5, 3, Infinity] - 
     165120*S[-5, -1, -1, -1, Infinity] - 103680*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((197*S[-1, Infinity]^5)/1680 - 
     (575*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (14003*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (197*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (4*(-29*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[3, 2, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (753*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1747621*S[2, Infinity]^4)/588000 + 
   ((-1233*S[-1, Infinity]^2)/128 - (12485*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 + 
     (135*S[-1, Infinity]*S[2, Infinity])/32 - (31845*S[3, Infinity])/1792)*
    S[5, Infinity] + (106843*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (5*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-373*S[-1, Infinity]^4)/2240 - 
     (1121*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (113920*S[-7, -1, Infinity] + 36331*S[5, 3, Infinity] + 
     39680*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((111*S[-1, Infinity]^5)/224 - 
     (923*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (525*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (110*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/90 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (31*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[3, 2, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/144 + 
   (211*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (221603*S[2, Infinity]^4)/588000 + 
   ((-781*S[-1, Infinity]^2)/224 - (2145*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/192 + 
     (3995*S[-1, Infinity]*S[2, Infinity])/448 + (5343*S[3, Infinity])/448)*
    S[5, Infinity] + (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/140 + 
     (102*S[-1, 1, 1, 1, Infinity])/35) + 
   (-199040*S[-7, -1, Infinity] + 1399*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 36480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/1680 - 
     (79*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (5011*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (79*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + (389*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, 2, -1, -1, 1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (121*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (5543099*S[2, Infinity]^4)/2352000 + 
   ((-225*S[-1, Infinity]^2)/448 - (699*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/192 + 
     (6319*S[-1, Infinity]*S[2, Infinity])/448 - (489*S[3, Infinity])/1792)*
    S[5, Infinity] - (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/56 - 
     (30*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (324000*S[-7, -1, Infinity] + 38163*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 39680*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/84 + 
     (139*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (241*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + 
     (-199*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[3, 2, -1, -1, -1, Infinity] -> -S[-1, Infinity]^8/72 + 
   (143*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (1383307*S[2, Infinity]^4)/
    588000 + ((-243*S[-1, Infinity]^2)/56 - (2899*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/96 + 
     (7991*S[-1, Infinity]*S[2, Infinity])/448 + (1595*S[3, Infinity])/448)*
    S[5, Infinity] + (148621*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (69*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-27*S[-5, 1, 1, Infinity] - 76*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((145*S[-1, Infinity]^4)/336 - 
     (89*S[-1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (194560*S[-7, -1, Infinity] + 38711*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((293*S[-1, Infinity]^5)/1680 + 
     (103*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5451*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-379*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[3, 1, 2, 1, 1, Infinity] -> (-107*S[2, Infinity]^4)/875 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - (S[3, Infinity]*S[5, Infinity])/2 + 
   (17*S[5, 3, Infinity])/10, S[3, 1, 2, 1, -1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (2714367*S[2, Infinity]^4)/
    784000 + ((319*S[-1, Infinity]^2)/128 + (1303*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (253*S[-1, Infinity]*S[2, Infinity])/32 + (7767*S[3, Infinity])/1792)*
    S[5, Infinity] - (30937*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (661*S[2, Infinity]*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity]))/
    7 + (51680*S[-7, -1, Infinity] + 8137*S[5, 3, Infinity] - 
     10880*S[-5, -1, -1, -1, Infinity] + 37760*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((551*S[-1, Infinity]^4)/6720 - 
     (551*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-677*S[-1, Infinity]^5)/3360 + 
     (383*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (33*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14), S[3, 1, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/192 + (81*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (2226757*S[2, Infinity]^4)/784000 + 
   ((8775*S[-1, Infinity]^2)/896 + (5071*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 + 
     (123*S[-1, Infinity]*S[2, Infinity])/56 + (11129*S[3, Infinity])/896)*
    S[5, Infinity] - (25877*S[-1, Infinity]*S[7, Infinity])/512 - 
   (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((1051*S[-1, Infinity]^4)/6720 + 
     (209*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - (499*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-113280*S[-7, -1, Infinity] - 61421*S[5, 3, Infinity] - 
     83200*S[-5, -1, -1, -1, Infinity] + 83200*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/336 + 
     (571*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3807*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 1, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (373*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (510523*S[2, Infinity]^4)/784000 + 
   ((29*S[-1, Infinity]^2)/28 + (101*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-4101*S[-1, Infinity]*S[2, Infinity])/896 - (6087*S[3, Infinity])/448)*
    S[5, Infinity] + (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/840 - 
     (121*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + (47*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-254400*S[-7, -1, Infinity] - 51481*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 51200*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(S[-1, Infinity]^5/21 - 
     (10*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/28 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 1, 1, 2, 1, Infinity] -> 
  (-86*S[2, Infinity]^4)/2625 + S[2, Infinity]*S[3, Infinity]^2 + 
   S[3, Infinity]*S[5, Infinity] - (9*S[5, 3, Infinity])/5, 
 S[3, 1, 1, 2, -1, Infinity] -> (69*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (3090427*S[2, Infinity]^4)/1176000 + 
   ((-115*S[-1, Infinity]^2)/64 - (599*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((181*S[-1, Infinity]*S[2, Infinity])/32 - 
     (947*S[3, Infinity])/896)*S[5, Infinity] + 
   (60985*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (75*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   (19000*S[-7, -1, Infinity] + 813*S[5, 3, Infinity] + 
     1600*S[-5, -1, -1, -1, Infinity] - 1600*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/1344 + 
     (71*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((193*S[-1, Infinity]^5)/1120 - (95*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (21*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (39*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 1, 1, 1, 2, Infinity] -> 
  (-16*S[2, Infinity]^4)/35 - S[2, Infinity]*S[3, Infinity]^2 + 
   5*S[3, Infinity]*S[5, Infinity] + S[5, 3, Infinity], 
 S[3, 1, 1, 1, -2, Infinity] -> (9*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (9581*S[2, Infinity]^4)/112000 + ((89*S[-1, Infinity]^2)/64 + 
     (195*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity])/16 - (2211*S[3, Infinity])/512)*
    S[5, Infinity] - (129*S[-1, Infinity]*S[7, Infinity])/64 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] - S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (6400*S[-7, -1, Infinity] - 2387*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/960 - 
     (23*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/40 + (11*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]/4), S[3, 1, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/288 + (1651*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (103581*S[2, Infinity]^4)/49000 + ((-4401*S[-1, Infinity]^2)/896 - 
     (22237*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (7303*S[-1, Infinity]*S[2, Infinity])/448 + 
     (4999*S[3, Infinity])/1792)*S[5, Infinity] + 
   (92839*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (97*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-373*S[-1, Infinity]^4)/3360 - 
     (47*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (499840*S[-7, -1, Infinity] + 122919*S[5, 3, Infinity] + 
     108160*S[-5, -1, -1, -1, Infinity] + 8320*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((111*S[-1, Infinity]^5)/1120 - 
     (235*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (767*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (22*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/180 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-433*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[3, 1, 1, -1, -2, Infinity] -> (681*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (18419*S[2, Infinity]^4)/49000 + 
   ((-243*S[-1, Infinity]^2)/896 - (2283*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1513*S[-1, Infinity]*S[2, Infinity])/224 + 
     (31533*S[3, Infinity])/3584)*S[5, Infinity] - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (451840*S[-7, -1, Infinity] + 72963*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] + 55040*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-1277*S[-1, Infinity]^4)/6720 + 
     (157*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/1120 + 
     (27*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (5619*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (81*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - (78*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, 1, 1, -2, 1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (403*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (855073*S[2, Infinity]^4)/1176000 + 
   ((-393*S[-1, Infinity]^2)/224 - (193*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]*S[2, Infinity])/224 - 
     (15145*S[3, Infinity])/3584)*S[5, Infinity] + 
   (4831*S[-1, Infinity]*S[7, Infinity])/448 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/6720 - 
     (323*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (5*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (74880*S[-7, -1, Infinity] + 4141*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((461*S[-1, Infinity]^5)/3360 - 
     (265*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (699*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/28), S[3, 1, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/576 + (23*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1377961*S[2, Infinity]^4)/2352000 + 
   ((-151*S[-1, Infinity]^2)/112 - (47*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((759*S[-1, Infinity]*S[2, Infinity])/448 + (13645*S[3, Infinity])/1792)*
    S[5, Infinity] - (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/1680 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + (53*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-655*S[-7, -1, Infinity] + 173*S[5, 3, Infinity] + 
     90*S[-5, -1, -1, -1, Infinity] - 90*S[-5, -1, 1, 1, Infinity] + 
     140*S[-1, 1, 1, 1, Infinity]^2)/140 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/280 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (951*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 1, -1, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/192 - (127*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (3620839*S[2, Infinity]^4)/2352000 + 
   ((3313*S[-1, Infinity]^2)/448 + (11205*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 - 
     (745*S[-1, Infinity]*S[2, Infinity])/56 - (6567*S[3, Infinity])/1792)*
    S[5, Infinity] - (7519*S[-1, Infinity]*S[7, Infinity])/224 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((473*S[-1, Infinity]^4)/6720 + 
     (787*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - (15*S[-5, -1, Infinity])/56 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-471040*S[-7, -1, Infinity] - 130849*S[5, 3, Infinity] - 
     126720*S[-5, -1, -1, -1, Infinity] + 19200*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/210 + 
     (373*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1489*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (37*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/28), S[3, 1, -1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/288 - (1063*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (741623*S[2, Infinity]^4)/1176000 + 
   ((131*S[-1, Infinity]^2)/896 - (2897*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((11259*S[-1, Infinity]*S[2, Infinity])/896 - 
     (27697*S[3, Infinity])/3584)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-299*S[-1, Infinity]^4)/560 + 
     (267*S[-1, 1, 1, 1, Infinity])/70) + 
   (-19840*S[-7, -1, Infinity] - 743*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/3360 + 
     (S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (811*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (39*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (113*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[3, 1, -1, 1, 2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (359*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (127329*S[2, Infinity]^4)/
    78400 + ((-941*S[-1, Infinity]^2)/128 + (18075*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 - 
     (5783*S[-1, Infinity]*S[2, Infinity])/128 - (159395*S[3, Infinity])/
      3584)*S[5, Infinity] - (10893*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-109*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-559*S[-1, Infinity]^4)/2240 + 
     (137*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-448768*S[-7, -1, Infinity] - 86113*S[5, 3, Infinity] - 
     60672*S[-5, -1, -1, -1, Infinity] - 54016*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((409*S[-1, Infinity]^5)/560 - 
     (877*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3637*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (176*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/360 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2395*S[-5, -1, Infinity] + 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[3, 1, -1, 1, -2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (393*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (117527*S[2, Infinity]^4)/392000 + 
   ((153*S[-1, Infinity]^2)/224 + (3901*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-5443*S[-1, Infinity]*S[2, Infinity])/448 - 
     (35045*S[3, Infinity])/3584)*S[5, Infinity] + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((1123*S[-1, Infinity]^4)/3360 - 
     (143*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-402560*S[-7, -1, Infinity] - 70359*S[5, 3, Infinity] - 
     43520*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/420 - 
     (109*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (12141*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (197*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + (547*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, 1, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (1599583*S[2, Infinity]^4)/
    784000 + ((9*S[-1, Infinity]^2)/7 + (12591*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-192*S[-1, Infinity]*S[2, Infinity])/7 - 
     (93153*S[3, Infinity])/3584)*S[5, Infinity] + 
   (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((1103*S[-1, Infinity]^4)/3360 - 
     (53*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-1222080*S[-7, -1, Infinity] - 262741*S[5, 3, Infinity] - 
     163840*S[-5, -1, -1, -1, Infinity] - 104960*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/105 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (23601*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (82*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (517*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[3, 1, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (4813*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (437711*S[2, Infinity]^4)/784000 + 
   ((-6131*S[-1, Infinity]^2)/896 + (50187*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/16 - 
     (12463*S[-1, Infinity]*S[2, Infinity])/224 - (208099*S[3, Infinity])/
      3584)*S[5, Infinity] - (160011*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (571*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-115*S[-5, 1, 1, Infinity] + 81*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*(-S[-1, Infinity]^4/7 + 
     (3*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-3280320*S[-7, -1, Infinity] - 644067*S[5, 3, Infinity] - 
     436480*S[-5, -1, -1, -1, Infinity] - 369920*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((151*S[-1, Infinity]^5)/210 - 
     (907*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (63029*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (43*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (911*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (1723*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[3, 1, -1, -2, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (67*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (339167*S[2, Infinity]^4)/
    470400 + ((-99*S[-1, Infinity]^2)/896 - (2145*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((33*S[-1, Infinity]*S[2, Infinity])/14 + 
     (14585*S[3, Infinity])/1792)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-169*S[-1, Infinity]^4)/3360 - 
     (461*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + (191*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-14080*S[-7, -1, Infinity] + 2109*S[5, 3, Infinity] + 
     1408*S[-5, -1, -1, -1, Infinity] - 1408*S[-5, -1, 1, 1, Infinity] - 
     5376*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/3360 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (711*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 1, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (199*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (494563*S[2, Infinity]^4)/235200 + 
   ((-169*S[-1, Infinity]^2)/448 - (1305*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 - 
     (1695*S[-1, Infinity]*S[2, Infinity])/224 + (6017*S[3, Infinity])/3584)*
    S[5, Infinity] + (4735*S[-1, Infinity]*S[7, Infinity])/896 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((443*S[-1, Infinity]^4)/672 - 
     (107*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-107712*S[-7, -1, Infinity] - 10659*S[5, 3, Infinity] + 
     512*S[-5, -1, -1, -1, Infinity] - 22016*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((163*S[-1, Infinity]^5)/840 - 
     (193*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (5269*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (589*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[3, 1, -2, 1, 1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (123*S[2, Infinity]^4)/250 + ((-69*S[-1, Infinity]^2)/64 - 
     (263*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 - (29*S[-1, Infinity]*S[2, Infinity])/32 + 
     (21*S[3, Infinity])/64)*S[5, Infinity] + 
   (2929*S[-1, Infinity]*S[7, Infinity])/256 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]))/2 + 
   (1600*S[-7, -1, Infinity] + 499*S[5, 3, Infinity] + 
     480*S[-5, -1, -1, -1, Infinity] - 160*S[-5, -1, 1, 1, Infinity])/320 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/960 + 
     (19*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    (S[-1, Infinity]^5/15 - (3*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (27*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4), S[3, 1, -2, 1, -1, Infinity] -> 
  (-23*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (9801*S[2, Infinity]^4)/112000 + ((-13*S[-1, Infinity]^2)/128 + 
     (5*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 - (97*S[-1, Infinity]*S[2, Infinity])/32 - 
     (445*S[3, Infinity])/256)*S[5, Infinity] + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (17*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (-12160*S[-7, -1, Infinity] - 2071*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(-S[-1, Infinity]^4/120 + 
     S[-1, 1, 1, 1, Infinity]/5) + S[3, Infinity]*(S[-1, Infinity]^5/60 - 
     (S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (211*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[3, 1, -2, -1, 1, Infinity] -> 
  (77*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + (102269*S[2, Infinity]^4)/
    112000 + ((-9*S[-1, Infinity]^2)/128 + (23*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/96 + 
     (79*S[-1, Infinity]*S[2, Infinity])/32 - (253*S[3, Infinity])/512)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (17*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (18560*S[-7, -1, Infinity] - 173*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/240 + 
     (19*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    (-S[-1, Infinity]^5/120 + (S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (181*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     S[-1, 1, 1, 1, 1, Infinity]), S[3, 1, -2, -1, -1, Infinity] -> 
  (47*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + (192261*S[2, Infinity]^4)/
    156800 + ((-7*S[-1, Infinity]^2)/4 - (4283*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 + 
     (351*S[-1, Infinity]*S[2, Infinity])/128 - (8469*S[3, Infinity])/3584)*
    S[5, Infinity] + (7643*S[-1, Infinity]*S[7, Infinity])/448 - 
   (83*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-8*S[-5, 1, 1, Infinity] - 15*S[5, -1, -1, Infinity]))/
    7 + (70848*S[-7, -1, Infinity] + 12009*S[5, 3, Infinity] + 
     8192*S[-5, -1, -1, -1, Infinity] + 6144*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/420 + 
     (58*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((17*S[-1, Infinity]^5)/1120 - (17*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (143*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (51*S[-1, 1, 1, 1, 1, Infinity])/28), S[3, -1, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/192 - (29*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (51221*S[2, Infinity]^4)/22400 + ((-375*S[-1, Infinity]^2)/112 + 
     (1097*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/48 - (1731*S[-1, Infinity]*S[2, Infinity])/224 - 
     (6625*S[3, Infinity])/256)*S[5, Infinity] - 
   (19099*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-27*S[-5, 1, 1, Infinity] + 71*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/64 + (21*S[-1, 1, 1, 1, Infinity])/
      8) + S[2, Infinity]*(-S[-1, Infinity]^6/16 + (77*S[-5, -1, Infinity])/
      4 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-22016*S[-7, -1, Infinity] - 4045*S[5, 3, Infinity] - 
     3072*S[-5, -1, -1, -1, Infinity] - 3584*S[-5, -1, 1, 1, Infinity] + 
     1536*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/120 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (3191*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     7*S[-1, 1, 1, 1, 1, Infinity]), S[3, -1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 + (361*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (985683*S[2, Infinity]^4)/196000 + 
   ((-3677*S[-1, Infinity]^2)/896 - (18437*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 + 
     (30817*S[-1, Infinity]*S[2, Infinity])/896 + (79297*S[3, Infinity])/
      1792)*S[5, Infinity] - (169*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((1949*S[-1, Infinity]^4)/6720 - 
     (689*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (1384960*S[-7, -1, Infinity] + 307739*S[5, 3, Infinity] + 
     198400*S[-5, -1, -1, -1, Infinity] + 160000*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/672 + 
     (125*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (5429*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (125*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/240 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*(-37*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[3, -1, 2, -1, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (941*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1745293*S[2, Infinity]^4)/784000 + 
   ((-1563*S[-1, Infinity]^2)/896 + (3725*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 - 
     (1555*S[-1, Infinity]*S[2, Infinity])/224 + (15633*S[3, Infinity])/448)*
    S[5, Infinity] + (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/560 + 
     (141*S[-1, 1, 1, 1, Infinity])/70) + 
   (-28240*S[-7, -1, Infinity] - 6301*S[5, 3, Infinity] - 
     4400*S[-5, -1, -1, -1, Infinity] - 3440*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((8*S[-1, Infinity]^5)/105 - 
     (305*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1443*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (181*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 
     (-13*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[3, -1, 2, -1, -1, Infinity] -> S[-1, Infinity]^8/72 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + (14569*S[2, Infinity]^4)/
    12250 + ((-9*S[-1, Infinity]^2)/56 + (263*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/48 - 
     (10441*S[-1, Infinity]*S[2, Infinity])/448 - (17079*S[3, Infinity])/448)*
    S[5, Infinity] - (7519*S[-1, Infinity]*S[7, Infinity])/896 + 
   (94*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-18*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity]))/
    7 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((131*S[-1, Infinity]^4)/840 + 
     (289*S[-1, 1, 1, 1, Infinity])/35) + 
   (-646720*S[-7, -1, Infinity] - 130503*S[5, 3, Infinity] - 
     97280*S[-5, -1, -1, -1, Infinity] - 81920*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/560 - 
     (163*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (8189*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (487*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[3, -1, 1, 2, 1, Infinity] -> (21*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (4998607*S[2, Infinity]^4)/2352000 + 
   ((19*S[-1, Infinity]^2)/4 + (5577*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/16 + (15*S[-1, Infinity]*S[2, Infinity])/8 + 
     (15321*S[3, Infinity])/3584)*S[5, Infinity] - 
   (70979*S[-1, Infinity]*S[7, Infinity])/1792 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (561*S[2, Infinity]*S[-5, -1, Infinity])/56 - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    7 + (-7360*S[-7, -1, Infinity] - 10169*S[5, 3, Infinity] - 
     14720*S[-5, -1, -1, -1, Infinity] + 14720*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/6720 + 
     (59*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/42 + (169*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1077*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14), S[3, -1, 1, 2, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/576 + (457*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (208813*S[2, Infinity]^4)/73500 + ((1601*S[-1, Infinity]^2)/896 + 
     (2717*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-1719*S[-1, Infinity]*S[2, Infinity])/896 - (2659*S[3, Infinity])/1792)*
    S[5, Infinity] - (127*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((169*S[-1, Infinity]^4)/2240 - 
     (927*S[-1, 1, 1, 1, Infinity])/280) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (372480*S[-7, -1, Infinity] + 48011*S[5, 3, Infinity] + 
     55040*S[-5, -1, -1, -1, Infinity] + 52480*S[-5, -1, 1, 1, Infinity] - 
     89600*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-689*S[-1, Infinity]^5)/3360 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (3767*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-139*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[3, -1, 1, 1, 2, Infinity] -> (5*S[-1, Infinity]^8)/576 + 
   (156*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (780587*S[2, Infinity]^4)/
    784000 + ((27*S[-1, Infinity]^2)/7 - (20617*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/16 + 
     (6159*S[-1, Infinity]*S[2, Infinity])/224 + (76725*S[3, Infinity])/3584)*
    S[5, Infinity] + (66189*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (151*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(71*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity]))/
    14 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/336 + 
     (16*S[-1, 1, 1, 1, Infinity])/7) + 
   (1455360*S[-7, -1, Infinity] + 299721*S[5, 3, Infinity] + 
     204800*S[-5, -1, -1, -1, Infinity] + 135680*S[-5, -1, 1, 1, Infinity] + 
     89600*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-863*S[-1, Infinity]^5)/1680 + 
     (391*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (8033*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (233*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/360 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-1443*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[3, -1, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/288 + 
   (32*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (369617*S[2, Infinity]^4)/
    784000 + ((-1279*S[-1, Infinity]^2)/896 - (177*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((547*S[-1, Infinity]*S[2, Infinity])/28 + 
     (11133*S[3, Infinity])/896)*S[5, Infinity] - 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/224 + 
     (29*S[-1, 1, 1, 1, Infinity])/28) + 
   (119680*S[-7, -1, Infinity] + 20829*S[5, 3, Infinity] + 
     17600*S[-5, -1, -1, -1, Infinity] + 4800*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/3360 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (9539*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (151*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-51*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[3, -1, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/192 + 
   (127*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (1577839*S[2, Infinity]^4)/392000 + 
   ((689*S[-1, Infinity]^2)/896 + (165*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((195*S[-1, Infinity]*S[2, Infinity])/14 - 
     (48611*S[3, Infinity])/3584)*S[5, Infinity] - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/840 + 
     (233*S[-1, 1, 1, 1, Infinity])/70) + 
   (55040*S[-7, -1, Infinity] + 35549*S[5, 3, Infinity] + 
     83200*S[-5, -1, -1, -1, Infinity] - 83200*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/112 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (6549*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (53*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[3, -1, 1, -1, -2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (401*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (118693*S[2, Infinity]^4)/56000 + ((-905*S[-1, Infinity]^2)/224 - 
     (541*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 + (2509*S[-1, Infinity]*S[2, Infinity])/224 - 
     (1555*S[3, Infinity])/256)*S[5, Infinity] + 
   (71999*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] - 75*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/60 - 
     (11*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (7360*S[-7, -1, Infinity] + 2141*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/480 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (1651*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (23*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[3, -1, 1, -2, 1, Infinity] -> S[-1, Infinity]^8/192 - 
   (171*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2020057*S[2, Infinity]^4)/1176000 + 
   ((-769*S[-1, Infinity]^2)/896 - (599*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]*S[2, Infinity])/14 - 
     (22597*S[3, Infinity])/3584)*S[5, Infinity] - 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/672 + 
     (53*S[-1, 1, 1, 1, Infinity])/28) + S[2, Infinity]*
    (-S[-1, Infinity]^6/16 + (33*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (136320*S[-7, -1, Infinity] + 2339*S[5, 3, Infinity] + 
     39680*S[-5, -1, -1, -1, Infinity] - 39680*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/1120 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (289*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -1, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (67*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (1416787*S[2, Infinity]^4)/470400 + 
   ((5*S[-1, Infinity]^2)/7 + (14121*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/16 + (769*S[-1, Infinity]*S[2, Infinity])/112 - 
     (21815*S[3, Infinity])/896)*S[5, Infinity] - 
   (311*S[-1, Infinity]*S[7, Infinity])/14 + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-251*S[-1, Infinity]^4)/672 + 
     (83*S[-1, 1, 1, 1, Infinity])/28) + 
   (-20096*S[-7, -1, Infinity] - 10489*S[5, 3, Infinity] - 
     11520*S[-5, -1, -1, -1, Infinity] + 768*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/1680 + 
     (521*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1563*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (319*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (3*(29*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[3, -1, -1, 2, 1, Infinity] -> (-253*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (2215309*S[2, Infinity]^4)/2352000 + 
   ((323*S[-1, Infinity]^2)/448 + (2019*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-75*S[-1, Infinity]*S[2, Infinity])/7 - 
     (3389*S[3, Infinity])/224)*S[5, Infinity] + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (85*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (45200*S[-7, -1, Infinity] - 15221*S[5, 3, Infinity] - 
     16000*S[-5, -1, -1, -1, Infinity] + 16000*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/448 + 
     (51*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/672 - (71*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (4999*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (90*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -1, -1, 2, -1, Infinity] -> 
  (11*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (6222613*S[2, Infinity]^4)/
    1176000 + ((-81*S[-1, Infinity]^2)/224 + (1411*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (8487*S[-1, Infinity]*S[2, Infinity])/896 - (44469*S[3, Infinity])/1792)*
    S[5, Infinity] - (90911*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 101*S[5, -1, -1, Infinity]))/
    14 + (83200*S[-7, -1, Infinity] - 5531*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-251*S[-1, Infinity]^4)/336 - 
     S[-1, 1, 1, 1, Infinity]/14) + S[3, Infinity]*
    ((-113*S[-1, Infinity]^5)/560 + (727*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (849*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (151*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/120 - 15*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-227*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[3, -1, -1, 1, 2, Infinity] -> (109*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (3401*S[2, Infinity]^4)/896 + 
   ((-203*S[-1, Infinity]^2)/128 - (2077*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((63*S[-1, Infinity]*S[2, Infinity])/2 + 
     (999*S[3, Infinity])/32)*S[5, Infinity] - 
   (21*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (9392*S[-7, -1, Infinity] + 2289*S[5, 3, Infinity] + 
     1344*S[-5, -1, -1, -1, Infinity] + 576*S[-5, -1, 1, 1, Infinity])/128 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/192 - 
     (23*S[-1, 1, 1, 1, Infinity])/8) + S[3, Infinity]*
    ((-71*S[-1, Infinity]^5)/480 + (71*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (1763*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     9*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/45 + (-31*S[-5, -1, Infinity] - 
       32*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[3, -1, -1, 1, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (331*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + (803063*S[2, Infinity]^4)/
    392000 + ((7279*S[-1, Infinity]^2)/896 - (14395*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (7691*S[-1, Infinity]*S[2, Infinity])/112 + (28205*S[3, Infinity])/448)*
    S[5, Infinity] + (98829*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (683*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(69*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((57*S[-1, Infinity]^4)/280 + 
     (74*S[-1, 1, 1, 1, Infinity])/35) + 
   (929760*S[-7, -1, Infinity] + 178237*S[5, 3, Infinity] + 
     130240*S[-5, -1, -1, -1, Infinity] + 98240*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-1447*S[-1, Infinity]^5)/1680 + 
     (2159*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (18671*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (1179*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/360 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-3765*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[3, -1, -1, -1, 2, Infinity] -> (5631*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (31767*S[2, Infinity]^4)/98000 + 
   ((67*S[-1, Infinity]^2)/56 - (2519*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/8 + (71983*S[-1, Infinity]*S[2, Infinity])/896 + 
     (4743*S[3, Infinity])/56)*S[5, Infinity] + 
   (19965*S[-1, Infinity]*S[7, Infinity])/224 - 
   (188*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + (568000*S[-7, -1, Infinity] + 119661*S[5, 3, Infinity] + 
     92160*S[-5, -1, -1, -1, Infinity] + 51200*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/28 - 
     (32*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-167*S[-1, Infinity]^5)/420 + (429*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (9687*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (334*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(-265*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[3, -1, -1, -1, -2, Infinity] -> (41*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 - (1936953*S[2, Infinity]^4)/784000 + 
   ((-139*S[-1, Infinity]^2)/56 - (116*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((17313*S[-1, Infinity]*S[2, Infinity])/448 + (55985*S[3, Infinity])/1792)*
    S[5, Infinity] - (40*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (1636800*S[-7, -1, Infinity] + 301961*S[5, 3, Infinity] + 
     204800*S[-5, -1, -1, -1, Infinity] + 153600*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/7 - 
     (12*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-389*S[-1, Infinity]^5)/3360 + (487*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (14377*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (389*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/180 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(-81*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[3, -1, -1, -2, 1, Infinity] -> (113*S[-1, Infinity]^2*S[2, Infinity]^3)/
    40 + (2146321*S[2, Infinity]^4)/1176000 + 
   ((-3189*S[-1, Infinity]^2)/448 - (7403*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (5421*S[-1, Infinity]*S[2, Infinity])/224 + (12785*S[3, Infinity])/3584)*
    S[5, Infinity] + (8497*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (67*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-53*S[-5, 1, 1, Infinity] + 59*S[5, -1, -1, Infinity]))/
    14 + (127360*S[-7, -1, Infinity] + 22513*S[5, 3, Infinity] + 
     17280*S[-5, -1, -1, -1, Infinity] + 9600*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/336 - 
     (13*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/14 - (41*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (2293*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -1, -1, -2, -1, Infinity] -> 
  (3543*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (239719*S[2, Infinity]^4)/2352000 + 
   ((-583*S[-1, Infinity]^2)/448 + (2409*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-17739*S[-1, Infinity]*S[2, Infinity])/896 + 
     (64577*S[3, Infinity])/1792)*S[5, Infinity] - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (411200*S[-7, -1, Infinity] + 75211*S[5, 3, Infinity] - 
     69120*S[-5, -1, -1, -1, Infinity] + 176640*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((593*S[-1, Infinity]^4)/1680 - 
     (173*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((533*S[-1, Infinity]^5)/3360 - (97*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (841*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (447*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - 9*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-341*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[3, -1, -2, 1, 1, Infinity] -> (-123*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (1859*S[2, Infinity]^4)/2240 + 
   ((5*S[-1, Infinity]^2)/8 + (17*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   (3*S[-1, Infinity]*S[2, Infinity] - (5069*S[3, Infinity])/512)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (6912*S[-7, -1, Infinity] - 425*S[5, 3, Infinity] + 
     512*S[-5, -1, -1, -1, Infinity] - 512*S[-5, -1, 1, 1, Infinity])/512 + 
   S[2, Infinity]^2*((119*S[-1, Infinity]^4)/960 - 
     (119*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/160 + (13*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (893*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[3, -1, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/96 - (489*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (2295991*S[2, Infinity]^4)/784000 + 
   ((2973*S[-1, Infinity]^2)/896 + (32885*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/32 - 
     (25813*S[-1, Infinity]*S[2, Infinity])/896 - (14319*S[3, Infinity])/224)*
    S[5, Infinity] - (40987*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (265*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 52*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((457*S[-1, Infinity]^4)/840 + 
     (278*S[-1, 1, 1, 1, Infinity])/35) + 
   (-1007040*S[-7, -1, Infinity] - 228091*S[5, 3, Infinity] - 
     177280*S[-5, -1, -1, -1, Infinity] - 118400*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-583*S[-1, Infinity]^5)/3360 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (8907*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (887*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/30 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 
     (3*(233*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[3, -1, -2, -1, 1, Infinity] -> S[-1, Infinity]^8/144 + 
   (1329*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (408341*S[2, Infinity]^4)/78400 + ((-3911*S[-1, Infinity]^2)/896 + 
     (5335*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/32 + (449*S[-1, Infinity]*S[2, Infinity])/28 - 
     (14825*S[3, Infinity])/448)*S[5, Infinity] - 
   (12605*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-41*S[-5, 1, 1, Infinity] + 57*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-809*S[-1, Infinity]^4)/1680 + 
     (389*S[-1, 1, 1, 1, Infinity])/70) + 
   (-20032*S[-7, -1, Infinity] - 2015*S[5, 3, Infinity] + 
     1152*S[-5, -1, -1, -1, Infinity] - 6528*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/224 + 
     (93*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (11671*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (765*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (3*(-27*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[3, -1, -2, -1, -1, Infinity] -> S[-1, Infinity]^8/96 + 
   (3019*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (96301*S[2, Infinity]^4)/196000 + ((-803*S[-1, Infinity]^2)/448 - 
     (13651*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((45567*S[-1, Infinity]*S[2, Infinity])/448 + (87951*S[3, Infinity])/3584)*
    S[5, Infinity] - (369*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-383*S[-1, Infinity]^4)/1680 + 
     (173*S[-1, 1, 1, 1, Infinity])/70) + 
   (1873600*S[-7, -1, Infinity] + 435313*S[5, 3, Infinity] + 
     454400*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-169*S[-1, Infinity]^5)/420 + 
     (307*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (51481*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (61*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[3, -2, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (859*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (262417*S[2, Infinity]^4)/470400 + 
   ((773*S[-1, Infinity]^2)/224 + (733*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 - 
     (71*S[-1, Infinity]*S[2, Infinity])/28 + (2299*S[3, Infinity])/896)*
    S[5, Infinity] - (3785*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((83*S[-1, Infinity]^4)/2240 + 
     (171*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (121*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (5472*S[-7, -1, Infinity] + 615*S[5, 3, Infinity] - 
     256*S[-5, -1, -1, -1, Infinity] + 1376*S[-5, -1, 1, 1, Infinity] + 
     448*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((-613*S[-1, Infinity]^5)/3360 + 
     (139*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (7233*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (123*S[-1, 1, 1, 1, 1, Infinity])/28), S[3, -2, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (27*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (1361141*S[2, Infinity]^4)/1176000 + 
   ((-123*S[-1, Infinity]^2)/896 + (197*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 - 
     (53*S[-1, Infinity]*S[2, Infinity])/7 - (4777*S[3, Infinity])/448)*
    S[5, Infinity] + (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/1680 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-64800*S[-7, -1, Infinity] - 11141*S[5, 3, Infinity] - 
     5280*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/420 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1151*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (165*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[3, -2, 1, -1, 1, Infinity] -> (-443*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (891169*S[2, Infinity]^4)/470400 + 
   ((-9*S[-1, Infinity]^2)/896 - (775*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/192 + (1181*S[-1, Infinity]*S[2, Infinity])/448 + 
     (20939*S[3, Infinity])/3584)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (87936*S[-7, -1, Infinity] + 4411*S[5, 3, Infinity] + 
     256*S[-5, -1, -1, -1, Infinity] + 19456*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/140 - 
     (38*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/42 - (S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (265*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 + 
     (-69*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[3, -2, 1, -1, -1, Infinity] -> (443*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (1674077*S[2, Infinity]^4)/2352000 + 
   ((2783*S[-1, Infinity]^2)/896 - (5877*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (5317*S[-1, Infinity]*S[2, Infinity])/448 + (59975*S[3, Infinity])/3584)*
    S[5, Infinity] + (14023*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (159*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + (1359360*S[-7, -1, Infinity] + 210673*S[5, 3, Infinity] + 
     93440*S[-5, -1, -1, -1, Infinity] + 220160*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-1937*S[-1, Infinity]^4)/6720 - 
     (583*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-263*S[-1, Infinity]^5)/840 + 
     (79*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (9707*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (317*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1031*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[3, -2, -1, 1, 1, Infinity] -> (107*S[-1, Infinity]^2*S[2, Infinity]^3)/
    70 + (50983*S[2, Infinity]^4)/23520 + 
   ((-117*S[-1, Infinity]^2)/448 + (41*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((39*S[-1, Infinity]*S[2, Infinity])/7 + 
     (10393*S[3, Infinity])/1792)*S[5, Infinity] - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-26560*S[-7, -1, Infinity] - 799*S[5, 3, Infinity] + 
     3328*S[-5, -1, -1, -1, Infinity] - 6016*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/280 + 
     (139*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/280 + (13*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (2427*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/180 + (115*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[3, -2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/96 + 
   (373*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (479537*S[2, Infinity]^4)/470400 + 
   ((-911*S[-1, Infinity]^2)/224 - (18035*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/64 + 
     (20817*S[-1, Infinity]*S[2, Infinity])/896 + (70543*S[3, Infinity])/
      3584)*S[5, Infinity] + (8285*S[-1, Infinity]*S[7, Infinity])/256 - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/105 - 
     (181*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (139136*S[-7, -1, Infinity] + 37557*S[5, 3, Infinity] + 
     39936*S[-5, -1, -1, -1, Infinity] - 2304*S[-5, -1, 1, 1, Infinity] - 
     21504*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((227*S[-1, Infinity]^5)/672 - 
     (547*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (11869*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (335*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/5 - (45*S[-5, -1, Infinity])/14 - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, -2, -1, -1, 1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (1095749*S[2, Infinity]^4)/
    2352000 + ((689*S[-1, Infinity]^2)/896 + (557*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 - 
     (6493*S[-1, Infinity]*S[2, Infinity])/448 - (7661*S[3, Infinity])/3584)*
    S[5, Infinity] + (193*S[-1, Infinity]*S[7, Infinity])/64 + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (5*S[-1, Infinity]*S[5, -1, -1, Infinity])/2 + 
   S[2, Infinity]^2*((223*S[-1, Infinity]^4)/448 - 
     (165*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-563200*S[-7, -1, Infinity] - 107909*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 92160*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((557*S[-1, Infinity]^5)/1680 - 
     (83*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (5491*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 
     (3*(159*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[3, -2, -1, -1, -1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (2199*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (6589087*S[2, Infinity]^4)/2352000 + 
   ((359*S[-1, Infinity]^2)/224 + (3387*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-18087*S[-1, Infinity]*S[2, Infinity])/448 - 
     (2017*S[3, Infinity])/56)*S[5, Infinity] + 
   (165*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/35 - 
     (23*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-620640*S[-7, -1, Infinity] - 122489*S[5, 3, Infinity] - 
     74240*S[-5, -1, -1, -1, Infinity] - 73600*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/28 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (2553*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (150*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/360 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(-61*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, 3, 1, 1, 1, Infinity] -> (1987*S[2, Infinity]^4)/875 - 
   10*S[3, Infinity]*S[5, Infinity] - (11*S[5, 3, Infinity])/5, 
 S[2, 3, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/288 - 
   (121*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (313039*S[2, Infinity]^4)/
    196000 + ((585*S[-1, Infinity]^2)/448 + (517*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 - 
     (243*S[-1, Infinity]*S[2, Infinity])/112 - (19139*S[3, Infinity])/1792)*
    S[5, Infinity] - (283*S[-1, Infinity]*S[7, Infinity])/28 + 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-281*S[-1, Infinity]^4)/2240 + 
     (843*S[-1, 1, 1, 1, Infinity])/280) + 
   (-324000*S[-7, -1, Infinity] - 54291*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 39680*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/280 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1349*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (131*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(-233*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[2, 3, 1, -1, 1, Infinity] -> (137*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (2050063*S[2, Infinity]^4)/784000 + 
   ((-3293*S[-1, Infinity]^2)/896 - (14277*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (16409*S[-1, Infinity]*S[2, Infinity])/896 + (47197*S[3, Infinity])/
      3584)*S[5, Infinity] + (409*S[-1, Infinity]*S[7, Infinity])/512 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   (77760*S[-7, -1, Infinity] + 54553*S[5, 3, Infinity] + 
     48000*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((1187*S[-1, Infinity]^4)/3360 + 
     (73*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/840 + (277*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (1907*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (97*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (209*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 3, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/576 + 
   (1233*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (14001*S[2, Infinity]^4)/98000 + ((-95*S[-1, Infinity]^2)/896 - 
     (6431*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((15231*S[-1, Infinity]*S[2, Infinity])/896 + (16759*S[3, Infinity])/896)*
    S[5, Infinity] - (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((533*S[-1, Infinity]^4)/1120 - 
     (129*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (1078720*S[-7, -1, Infinity] + 174359*S[5, 3, Infinity] + 
     119040*S[-5, -1, -1, -1, Infinity] + 149760*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-433*S[-1, Infinity]^5)/3360 + 
     (1189*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (11951*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (433*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/240 - (699*S[-5, -1, Infinity])/
      28 + (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 3, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (297*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1030377*S[2, Infinity]^4)/784000 + 
   ((-1843*S[-1, Infinity]^2)/896 + (1791*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (377*S[-1, Infinity]*S[2, Infinity])/224 - (7331*S[3, Infinity])/896)*
    S[5, Infinity] + (32289*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (111*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-57*S[-5, 1, 1, Infinity] - 22*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-389*S[-1, Infinity]^4)/2240 - 
     (513*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-131200*S[-7, -1, Infinity] - 35087*S[5, 3, Infinity] - 
     20480*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((803*S[-1, Infinity]^5)/3360 - 
     (307*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (4773*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 + (181*S[-5, -1, Infinity])/
      14 - (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 3, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/576 + 
   (3539*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (125577*S[2, Infinity]^4)/156800 + 
   ((2321*S[-1, Infinity]^2)/896 + (593*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 + 
     (4071*S[-1, Infinity]*S[2, Infinity])/448 + (11805*S[3, Infinity])/3584)*
    S[5, Infinity] - (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-45*S[-1, Infinity]^4)/224 + 
     (9*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (110848*S[-7, -1, Infinity] + 8223*S[5, 3, Infinity] + 
     3072*S[-5, -1, -1, -1, Infinity] + 18432*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-179*S[-1, Infinity]^5)/1680 + 
     (179*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (18217*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (179*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 - (407*S[-5, -1, Infinity])/
      28 - (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 3, -1, -1, 1, Infinity] -> (-3041*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (141527*S[2, Infinity]^4)/784000 + 
   ((225*S[-1, Infinity]^2)/224 + (1697*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/64 - 
     (10251*S[-1, Infinity]*S[2, Infinity])/448 - (12965*S[3, Infinity])/896)*
    S[5, Infinity] + (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (110*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-204720*S[-7, -1, Infinity] - 42909*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 21760*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((79*S[-1, Infinity]^4)/1680 - 
     (79*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (S[-1, Infinity]^5/21 - (475*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (47*S[-1, Infinity]*S[2, Infinity]^2)/7 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 3, -1, -1, -1, Infinity] -> 
  (-1181*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (528883*S[2, Infinity]^4)/392000 + 
   ((481*S[-1, Infinity]^2)/112 + (3015*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (12665*S[-1, Infinity]*S[2, Infinity])/448 - (25309*S[3, Infinity])/896)*
    S[5, Infinity] - (2035*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (341*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(22*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/
    14 + (-305920*S[-7, -1, Infinity] - 82953*S[5, 3, Infinity] - 
     74240*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(-S[-1, Infinity]^4/35 + 
     (24*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/35 - (51*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (11199*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (48*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 2, 2, 1, 1, Infinity] -> 
  (24*S[2, Infinity]^4)/25 - 4*S[3, Infinity]*S[5, Infinity], 
 S[2, 2, 2, 1, -1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (263*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (265119*S[2, Infinity]^4)/
    56000 + (-10*S[-1, Infinity]^2 + (261*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (2709*S[-1, Infinity]*S[2, Infinity])/128 - (2683*S[3, Infinity])/128)*
    S[5, Infinity] + (5303*S[-1, Infinity]*S[7, Infinity])/512 + 
   8*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/320 - (243*S[-1, 1, 1, 1, Infinity])/
      40) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*(25120*S[-7, -1, Infinity] + 2459*S[5, 3, Infinity] + 
      5120*S[-5, -1, 1, 1, Infinity] + 2560*S[-1, 1, 1, 1, Infinity]^2))/
    1280 + S[3, Infinity]*((151*S[-1, Infinity]^5)/240 - 
     (109*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (5607*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     23*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/10 - 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(83*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[2, 2, 2, -1, 1, Infinity] -> (157*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (133*S[2, Infinity]^4)/500 + 
   ((-245*S[-1, Infinity]^2)/32 - (135*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 + (1075*S[-1, Infinity]*S[2, Infinity])/64 - 
     (203*S[3, Infinity])/64)*S[5, Infinity] + 
   (643*S[-1, Infinity]*S[7, Infinity])/64 + 2*S[-1, Infinity]*
    (3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (-640*S[-7, -1, Infinity] + 323*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity])/80 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/240 - 
     (17*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/48 - (41*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (305*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((3*S[-1, Infinity]^6)/40 + 12*S[-5, -1, Infinity] - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, 2, -1, -1, Infinity] -> S[-1, Infinity]^8/288 + 
   (471*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (11731*S[2, Infinity]^4)/22400 + ((-5*S[-1, Infinity]^2)/32 - 
     (229*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((1143*S[-1, Infinity]*S[2, Infinity])/32 + (4209*S[3, Infinity])/256)*
    S[5, Infinity] - 6*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((-27*S[-1, Infinity]^4)/80 - 
     (9*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (13024*S[-7, -1, Infinity] + 2509*S[5, 3, Infinity] + 
     2048*S[-5, -1, -1, -1, Infinity] + 1024*S[-5, -1, 1, 1, Infinity] + 
     512*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/120 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1529*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     13*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/120 - 16*S[-5, -1, Infinity] - 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, 1, 2, 1, Infinity] -> (-48*S[2, Infinity]^4)/175 + 
   4*S[5, 3, Infinity], S[2, 2, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/96 + (2921*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (11713*S[2, Infinity]^4)/392000 + 
   ((53*S[-1, Infinity]^2)/16 - (185*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((715*S[-1, Infinity]*S[2, Infinity])/128 + (2395*S[3, Infinity])/224)*
    S[5, Infinity] - (41427*S[-1, Infinity]*S[7, Infinity])/1792 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/1344 + 
     (481*S[-1, 1, 1, 1, Infinity])/56) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 + (8*S[-5, -1, Infinity])/7 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-135200*S[-7, -1, Infinity] - 421*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-719*S[-1, Infinity]^5)/1680 + 
     (425*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (683*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 2, 1, 1, 2, Infinity] -> 
  (5686*S[2, Infinity]^4)/2625 + S[2, Infinity]*S[3, Infinity]^2 - 
   11*S[3, Infinity]*S[5, Infinity] - (11*S[5, 3, Infinity])/5, 
 S[2, 2, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (161*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (289291*S[2, Infinity]^4)/84000 + 
   ((-89*S[-1, Infinity]^2)/32 - (45*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-457*S[-1, Infinity]*S[2, Infinity])/64 + (131*S[3, Infinity])/16)*
    S[5, Infinity] - (2127*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 2*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/960 - 
     (97*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + S[-5, -1, Infinity]/4 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1460*S[-7, -1, Infinity] + 311*S[5, 3, Infinity] + 
     320*S[-5, -1, -1, -1, Infinity] - 320*S[-5, -1, 1, 1, Infinity] - 
     320*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/240 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (1107*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, 2, 1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/48 + (10587*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (527*S[2, Infinity]^4)/384 + ((5281*S[-1, Infinity]^2)/224 + 
     (1689*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 - (2039*S[-1, Infinity]*S[2, Infinity])/448 + 
     (12957*S[3, Infinity])/256)*S[5, Infinity] - 
   (369885*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (72*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(121*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity]))/
    7 - S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/120 + 
     (32*S[-1, 1, 1, 1, Infinity])/5) + 
   (191*S[-7, -1, Infinity] - 13*S[5, 3, Infinity] - 
     56*S[-5, -1, -1, -1, Infinity] + 104*S[-5, -1, 1, 1, Infinity] + 
     48*S[-1, 1, 1, 1, Infinity]^2)/4 + S[3, Infinity]*
    ((-151*S[-1, Infinity]^5)/120 + (109*S[-1, Infinity]^3*S[2, Infinity])/
      12 + (58151*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     46*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-23*S[-1, Infinity]^6)/120 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-577*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[2, 2, 1, -1, -2, Infinity] -> (-283*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (544459*S[2, Infinity]^4)/588000 + 
   ((-117*S[-1, Infinity]^2)/448 - (603*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((543*S[-1, Infinity]*S[2, Infinity])/448 - 
     (1411*S[3, Infinity])/3584)*S[5, Infinity] - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-62240*S[-7, -1, Infinity] + 15087*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] - 16640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((379*S[-1, Infinity]^4)/6720 + 
     (181*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/560 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (2187*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (39*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (223*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 2, 1, -2, 1, Infinity] -> (-69*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (27079*S[2, Infinity]^4)/24500 + 
   ((-115*S[-1, Infinity]^2)/56 - (5109*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-1769*S[-1, Infinity]*S[2, Infinity])/896 + 
     (2591*S[3, Infinity])/448)*S[5, Infinity] + 
   (32499*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (305*S[2, Infinity]*S[-5, -1, Infinity])/56 + 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-125120*S[-7, -1, Infinity] + 44701*S[5, 3, Infinity] + 
     58880*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/840 + 
     (23*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/420 - (23*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1817*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 2, 1, -2, -1, Infinity] -> 
  (-23*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (1154417*S[2, Infinity]^4)/
    784000 + ((667*S[-1, Infinity]^2)/224 + (1035*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-5157*S[-1, Infinity]*S[2, Infinity])/896 - 
     (42113*S[3, Infinity])/3584)*S[5, Infinity] + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (46*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (116320*S[-7, -1, Infinity] - 28437*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/840 - 
     (23*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/420 + (23*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (10051*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 2, -1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/36 - (3449*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1016937*S[2, Infinity]^4)/392000 + 
   ((-85*S[-1, Infinity]^2)/32 + (1845*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (7117*S[-1, Infinity]*S[2, Infinity])/128 + (22527*S[3, Infinity])/1792)*
    S[5, Infinity] + (40407*S[-1, Infinity]*S[7, Infinity])/896 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-9*S[-5, 1, 1, Infinity] - 65*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-739*S[-1, Infinity]^4)/6720 - 
     (4301*S[-1, 1, 1, 1, Infinity])/280) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (198400*S[-7, -1, Infinity] + 27037*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 51200*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((1241*S[-1, Infinity]^5)/1680 - 
     (241*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (1203*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (37*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/30 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(449*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[2, 2, -1, 2, -1, Infinity] -> -S[-1, Infinity]^8/48 - 
   (5363*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (948099*S[2, Infinity]^4)/392000 + 
   ((143*S[-1, Infinity]^2)/224 + (529*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-15387*S[-1, Infinity]*S[2, Infinity])/224 - (18133*S[3, Infinity])/896)*
    S[5, Infinity] + (54*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((397*S[-1, Infinity]^4)/420 - 
     (164*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (-27840*S[-7, -1, Infinity] - 
     6437*S[5, 3, Infinity] - 6400*S[-5, -1, -1, -1, Infinity] - 
     320*S[-5, -1, 1, 1, Infinity] - 6720*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/210 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (2727*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (113*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/5 + (64*S[-5, -1, Infinity])/7 + 
     12*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     36*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, -1, 1, 2, Infinity] -> S[-1, Infinity]^8/48 + 
   (57*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (25436071*S[2, Infinity]^4)/
    2352000 + ((3763*S[-1, Infinity]^2)/224 + (2467*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (7423*S[-1, Infinity]*S[2, Infinity])/896 + (6597*S[3, Infinity])/448)*
    S[5, Infinity] - (109973*S[-1, Infinity]*S[7, Infinity])/896 - 
   (12*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(79*S[-5, 1, 1, Infinity] + 107*S[5, -1, -1, Infinity]))/
    7 - S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((281*S[-1, Infinity]^4)/448 + 
     (613*S[-1, 1, 1, 1, Infinity])/56) + 
   (-529280*S[-7, -1, Infinity] - 145913*S[5, 3, Infinity] - 
     171520*S[-5, -1, -1, -1, Infinity] + 64000*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-961*S[-1, Infinity]^5)/840 + 
     (611*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (19829*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (86*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/40 + 7*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (181*S[-5, -1, Infinity] - 
       1008*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 2, -1, 1, -2, Infinity] -> S[-1, Infinity]^8/144 + 
   (167*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (945163*S[2, Infinity]^4)/470400 + 
   ((-135*S[-1, Infinity]^2)/448 + (379*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1223*S[-1, Infinity]*S[2, Infinity])/224 - 
     (31237*S[3, Infinity])/3584)*S[5, Infinity] - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/1680 + 
     (79*S[-1, 1, 1, 1, Infinity])/70) + 
   (704*S[-7, -1, Infinity] + 1829*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/280 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (1157*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + (25*S[-5, -1, Infinity])/14 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/96 + 
   (523*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (7056881*S[2, Infinity]^4)/2352000 + 
   ((-9*S[-1, Infinity]^2)/28 + (51*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((48*S[-1, Infinity]*S[2, Infinity])/7 - (843*S[3, Infinity])/1792)*
    S[5, Infinity] - (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/560 + 
     (333*S[-1, 1, 1, 1, Infinity])/70) + 
   (-31200*S[-7, -1, Infinity] + 11483*S[5, 3, Infinity] + 
     20480*S[-5, -1, -1, -1, Infinity] - 20480*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/70 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (227*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (3*(11*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[2, 2, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (6109*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (12719579*S[2, Infinity]^4)/1176000 + 
   ((-61*S[-1, Infinity]^2)/7 - (1003*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (871*S[-1, Infinity]*S[2, Infinity])/56 - 
     (30213*S[3, Infinity])/896)*S[5, Infinity] - 
   (123*S[-1, Infinity]*S[7, Infinity])/32 + 
   (88*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   8*S[-1, Infinity]*S[-5, 1, 1, Infinity] + S[2, Infinity]^2*
    ((143*S[-1, Infinity]^4)/560 - (219*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-459520*S[-7, -1, Infinity] - 72477*S[5, 3, Infinity] - 
     40960*S[-5, -1, -1, -1, Infinity] - 66560*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/84 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (5541*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (180*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (4261*S[-5, -1, Infinity] - 
       4368*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 2, -1, -2, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + (417681*S[2, Infinity]^4)/
    112000 + ((-27*S[-1, Infinity]^2)/32 - (261*S[2, Infinity])/64)*
    S[3, Infinity]^2 + (18*S[-1, Infinity]*S[2, Infinity] - 
     (263*S[3, Infinity])/128)*S[5, Infinity] - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/80 + 
     (21*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 + 12*S[-5, -1, Infinity] + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (180*S[-7, -1, Infinity] + 623*S[5, 3, Infinity] + 
     960*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] + 
     960*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/80 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (1559*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, 2, -1, -2, -1, Infinity] -> 
  (783*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (62123*S[2, Infinity]^4)/14000 + ((-775*S[-1, Infinity]^2)/112 - 
     (163*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (657*S[-1, Infinity]*S[2, Infinity])/224 + 
     (2165*S[3, Infinity])/64)*S[5, Infinity] + 
   (146739*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-23*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity]))/
    7 + (1520*S[-7, -1, Infinity] + 429*S[5, 3, Infinity] + 
     400*S[-5, -1, -1, -1, Infinity] + 80*S[-5, -1, 1, 1, Infinity])/20 + 
   S[2, Infinity]^2*((-35*S[-1, Infinity]^4)/48 - 
     (13*S[-1, 1, 1, 1, Infinity])/2) + S[3, Infinity]*
    ((103*S[-1, Infinity]^5)/240 - (19*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (1259*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/4 - 65*S[-5, -1, Infinity] - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     72*S[-1, 1, 1, 1, 1, 1, Infinity]), S[2, 2, -2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/48 + (597*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (44637*S[2, Infinity]^4)/11200 + ((365*S[-1, Infinity]^2)/32 + 
     (1667*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 + (201*S[-1, Infinity]*S[2, Infinity])/32 + 
     (5621*S[3, Infinity])/256)*S[5, Infinity] - 
   (4969*S[-1, Infinity]*S[7, Infinity])/64 - 3*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 2*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 
     5*S[5, -1, -1, Infinity]) - S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/64 + 
     (81*S[-1, 1, 1, 1, Infinity])/8) + 
   (-1408*S[-7, -1, Infinity] - 457*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 384*S[-5, -1, 1, 1, Infinity] + 
     768*S[-1, 1, 1, 1, Infinity]^2)/64 + S[3, Infinity]*
    ((-103*S[-1, Infinity]^5)/120 + (115*S[-1, Infinity]^3*S[2, Infinity])/
      24 + (3791*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-13*S[-5, -1, Infinity] - 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/2), S[2, 2, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (521*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (1803*S[2, Infinity]^4)/11200 + ((71*S[-1, Infinity]^2)/32 - 
     (25*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 + (731*S[-1, Infinity]*S[2, Infinity])/64 + 
     (3051*S[3, Infinity])/512)*S[5, Infinity] - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/12 - S[-1, 1, 1, 1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (19904*S[-7, -1, Infinity] + 2161*S[5, 3, Infinity] + 
     1024*S[-5, -1, -1, -1, Infinity] + 3072*S[-5, -1, 1, 1, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/240 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (2467*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - 18*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, -2, -1, 1, Infinity] -> S[-1, Infinity]^8/96 - 
   (269*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (9641*S[2, Infinity]^4)/112000 + 
   ((9*S[-1, Infinity]^2)/16 + (57*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 - (127*S[-1, Infinity]*S[2, Infinity])/8 + 
     (111*S[3, Infinity])/64)*S[5, Infinity] + 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/80 + 
     (39*S[-1, 1, 1, 1, Infinity])/10) + 
   (-12080*S[-7, -1, Infinity] - 983*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 3840*S[-1, 1, 1, 1, Infinity]^2)/
    640 + S[3, Infinity]*(-S[-1, Infinity]^5/15 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[2, 2, -2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/36 + (9*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (1957*S[2, Infinity]^4)/250 + ((147*S[-1, Infinity]^2)/8 + 
     (1033*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 - (551*S[-1, Infinity]*S[2, Infinity])/32 + 
     (923*S[3, Infinity])/64)*S[5, Infinity] - 
   (60295*S[-1, Infinity]*S[7, Infinity])/512 - 
   4*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity]) - 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-51*S[-1, Infinity]^4)/80 + 
     (153*S[-1, 1, 1, 1, Infinity])/10) + 
   (-5760*S[-7, -1, Infinity] - 1639*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((-281*S[-1, Infinity]^5)/240 + 
     (33*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (1607*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     18*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-3*S[-1, Infinity]^6)/20 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 4*(S[-5, -1, Infinity] - 
       6*S[-1, 1, 1, 1, 1, 1, Infinity])), S[2, 1, 3, 1, 1, Infinity] -> 
  (-54*S[2, Infinity]^4)/175 - S[2, Infinity]*S[3, Infinity]^2 + 
   5*S[3, Infinity]*S[5, Infinity] + S[5, 3, Infinity], 
 S[2, 1, 3, 1, -1, Infinity] -> -S[-1, Infinity]^8/192 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (1117507*S[2, Infinity]^4)/
    784000 + ((271*S[-1, Infinity]^2)/448 - (1417*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 + 
     (1665*S[-1, Infinity]*S[2, Infinity])/896 + (15299*S[3, Infinity])/3584)*
    S[5, Infinity] + (635*S[-1, Infinity]*S[7, Infinity])/256 - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   S[2, Infinity]^2*((-317*S[-1, Infinity]^4)/1680 - 
     (104*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (196160*S[-7, -1, Infinity] + 25609*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 51200*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/1120 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (299*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/10 - (101*S[-5, -1, Infinity])/14 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, 3, -1, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (143*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (254629*S[2, Infinity]^4)/392000 + 
   ((137*S[-1, Infinity]^2)/112 + (4715*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (7111*S[-1, Infinity]*S[2, Infinity])/896 + (14737*S[3, Infinity])/1792)*
    S[5, Infinity] - (43205*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/70 + 
     (177*S[-1, 1, 1, 1, Infinity])/70) + 
   (-101760*S[-7, -1, Infinity] + 8179*S[5, 3, Infinity] + 
     11520*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/840 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (6737*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/15 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-167*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, 3, -1, -1, Infinity] -> (-577*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (35737*S[2, Infinity]^4)/15680 + 
   ((-69*S[-1, Infinity]^2)/112 + (59*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-10113*S[-1, Infinity]*S[2, Infinity])/896 + (17625*S[3, Infinity])/
      3584)*S[5, Infinity] + (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*(-4336*S[-7, -1, Infinity] + 79*S[5, 3, Infinity] - 
      832*S[-5, -1, -1, -1, Infinity] - 64*S[-5, -1, 1, 1, Infinity]))/896 + 
   S[2, Infinity]^2*((-141*S[-1, Infinity]^4)/560 + 
     (3*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((53*S[-1, Infinity]^5)/1120 - (25*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (10641*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (159*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 + (17*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, 2, 2, 1, Infinity] -> (48*S[2, Infinity]^4)/175 + 
   4*S[3, Infinity]*S[5, Infinity] - 4*S[5, 3, Infinity], 
 S[2, 1, 2, 2, -1, Infinity] -> S[-1, Infinity]^8/96 + 
   (493*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (2761967*S[2, Infinity]^4)/392000 + 
   ((67*S[-1, Infinity]^2)/16 + (895*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((455*S[-1, Infinity]*S[2, Infinity])/32 + (9491*S[3, Infinity])/1792)*
    S[5, Infinity] + (10173*S[-1, Infinity]*S[7, Infinity])/3584 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((32*S[-1, Infinity]^4)/105 + 
     (164*S[-1, 1, 1, 1, Infinity])/35) + 
   (135200*S[-7, -1, Infinity] + 421*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-457*S[-1, Infinity]^5)/1680 + 
     (359*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (411*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (106*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/40 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-127*S[-5, -1, Infinity] + 
       1008*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, 2, 1, 2, Infinity] -> (1217*S[2, Infinity]^4)/875 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - (9*S[3, Infinity]*S[5, Infinity])/
    2 - (27*S[5, 3, Infinity])/10, S[2, 1, 2, 1, -2, Infinity] -> 
  (1619*S[2, Infinity]^4)/896 - (559*S[2, Infinity]*S[3, Infinity]^2)/256 + 
   ((1395*S[-1, Infinity]*S[2, Infinity])/128 - (2217*S[3, Infinity])/512)*
    S[5, Infinity] + (4191*S[-1, Infinity]*S[7, Infinity])/256 + 
   (45*S[2, Infinity]*S[-5, -1, Infinity])/8 + 
   (3*(1408*S[-7, -1, Infinity] + 243*S[5, 3, Infinity]))/512, 
 S[2, 1, 2, -1, 2, Infinity] -> -S[-1, Infinity]^8/36 - 
   (169*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (345459*S[2, Infinity]^4)/
    112000 + (-10*S[-1, Infinity]^2 - (231*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((85*S[-1, Infinity]*S[2, Infinity])/32 - 
     (5661*S[3, Infinity])/128)*S[5, Infinity] + 
   (20511*S[-1, Infinity]*S[7, Infinity])/256 + 
   8*S[-1, Infinity]^2*S[-5, -1, Infinity] + 8*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/240 - 
     (113*S[-1, 1, 1, 1, Infinity])/10) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (20480*S[-7, -1, Infinity] + 1219*S[5, 3, Infinity] - 
     20480*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((49*S[-1, Infinity]^5)/60 - 
     (35*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (75*S[-1, Infinity]*S[2, Infinity]^2)/4 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 28*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/30 - 14*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (73*S[-5, -1, Infinity] - 
       144*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[2, 1, 2, -1, -2, Infinity] -> (-67*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (168487*S[2, Infinity]^4)/112000 + 
   (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((465*S[-1, Infinity]*S[2, Infinity])/64 - (841*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]*S[-5, -1, Infinity] + 
   (19840*S[-7, -1, Infinity] - 8119*S[5, 3, Infinity])/2560 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/960 - 
     (67*S[-1, 1, 1, 1, Infinity])/40), S[2, 1, 2, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (169*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1451169*S[2, Infinity]^4)/392000 + 
   ((-533*S[-1, Infinity]^2)/112 - (1625*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-3103*S[-1, Infinity]*S[2, Infinity])/896 - 
     (30297*S[3, Infinity])/3584)*S[5, Infinity] + 
   (62763*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/140 - 
     (93*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (36320*S[-7, -1, Infinity] + 11881*S[5, 3, Infinity] + 
     12160*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((517*S[-1, Infinity]^5)/1680 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (4637*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/8 + 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (199*S[-5, -1, Infinity] + 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, 2, -2, -1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (6131*S[2, Infinity]^4)/6125 + 
   ((-135*S[-1, Infinity]^2)/224 + (169*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-14877*S[-1, Infinity]*S[2, Infinity])/896 - 
     (6947*S[3, Infinity])/1792)*S[5, Infinity] + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((1501*S[-1, Infinity]^4)/1680 - 
     (31*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-37760*S[-7, -1, Infinity] - 41539*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/1680 + 
     (185*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (4889*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (71*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/120 - (38*S[-5, -1, Infinity])/7 + 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, 1, 3, 1, Infinity] -> (487*S[2, Infinity]^4)/875 - 
   2*S[3, Infinity]*S[5, Infinity] + (9*S[5, 3, Infinity])/5, 
 S[2, 1, 1, 3, -1, Infinity] -> (-73*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (1172009*S[2, Infinity]^4)/392000 + 
   ((-45*S[-1, Infinity]^2)/64 + (29*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-1197*S[-1, Infinity]*S[2, Infinity])/128 + (8089*S[3, Infinity])/1792)*
    S[5, Infinity] - (1075*S[-1, Infinity]*S[7, Infinity])/224 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   (-19000*S[-7, -1, Infinity] - 813*S[5, 3, Infinity] - 
     1600*S[-5, -1, -1, -1, Infinity] + 1600*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/84 - 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*
    ((29*S[-1, Infinity]^5)/1680 + (89*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (71*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-59*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, 1, 2, 2, Infinity] -> (-671*S[2, Infinity]^4)/525 - 
   S[2, Infinity]*S[3, Infinity]^2 + 9*S[3, Infinity]*S[5, Infinity] + 
   4*S[5, 3, Infinity], S[2, 1, 1, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/96 - (27*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (821071*S[2, Infinity]^4)/168000 + 
   ((-89*S[-1, Infinity]^2)/32 + (19*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-821*S[-1, Infinity]*S[2, Infinity])/128 - (1253*S[3, Infinity])/128)*
    S[5, Infinity] - (2127*S[-1, Infinity]*S[7, Infinity])/512 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 2*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/30 - 
     (46*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-11680*S[-7, -1, Infinity] - 1561*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/80 - 
     (8*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (751*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     11*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((5*S[-1, Infinity]^6)/24 - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (5*S[-5, -1, Infinity] - 
       48*S[-1, 1, 1, 1, 1, 1, Infinity])/8), S[2, 1, 1, 1, 3, Infinity] -> 
  (76*S[2, Infinity]^4)/125 + (S[2, Infinity]*S[3, Infinity]^2)/2 - 
   (S[3, Infinity]*S[5, Infinity])/2 - (7*S[5, 3, Infinity])/10, 
 S[2, 1, 1, 1, -3, Infinity] -> S[-1, Infinity]^8/192 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (24159*S[2, Infinity]^4)/
    14000 + ((89*S[-1, Infinity]^2)/64 + (13*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((89*S[-1, Infinity]*S[2, Infinity])/64 + 
     (881*S[3, Infinity])/256)*S[5, Infinity] - 
   (129*S[-1, Infinity]*S[7, Infinity])/64 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/60 + 
     (23*S[-1, 1, 1, 1, Infinity])/5) + 
   (3200*S[-7, -1, Infinity] - 437*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/160 + 
     (4*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (751*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/48 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-5*S[-5, -1, Infinity] + 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[2, 1, 1, -1, 3, Infinity] -> 
  -S[-1, Infinity]^8/192 - (2787*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1473221*S[2, Infinity]^4)/784000 + 
   ((-1195*S[-1, Infinity]^2)/224 + (18133*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/16 - 
     (6751*S[-1, Infinity]*S[2, Infinity])/224 - (71369*S[3, Infinity])/3584)*
    S[5, Infinity] - (66189*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (121*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-71*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/420 - 
     (107*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-1367680*S[-7, -1, Infinity] - 244373*S[5, 3, Infinity] - 
     128000*S[-5, -1, -1, -1, Infinity] - 176640*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/105 - 
     (373*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (7121*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1433*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, 1, -1, -3, Infinity] -> S[-1, Infinity]^8/576 - 
   (227*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (34813*S[2, Infinity]^4)/39200 + ((9*S[-1, Infinity]^2)/224 + 
     (17*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((-6*S[-1, Infinity]*S[2, Infinity])/7 + (61*S[3, Infinity])/112)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/280 + 
     (59*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-2872*S[-7, -1, Infinity] - 43*S[5, 3, Infinity] - 
     32*S[-5, -1, -1, -1, Infinity] - 528*S[-5, -1, 1, 1, Infinity] + 
     112*S[-1, 1, 1, 1, Infinity]^2)/112 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/1120 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (237*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (355*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, 1, -2, 2, Infinity] -> (5*S[-1, Infinity]^8)/288 + 
   (83*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (4513*S[2, Infinity]^4)/
    4800 + ((267*S[-1, Infinity]^2)/32 + (1095*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-55*S[-1, Infinity]*S[2, Infinity])/64 + 
     (11035*S[3, Infinity])/512)*S[5, Infinity] - 
   (22321*S[-1, Infinity]*S[7, Infinity])/512 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 6*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/120 + 
     (59*S[-1, 1, 1, 1, Infinity])/5) + 
   (-448*S[-7, -1, Infinity] - 1709*S[5, 3, Infinity] - 
     3072*S[-5, -1, -1, -1, Infinity] + 3072*S[-5, -1, 1, 1, Infinity] + 
     5120*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((-143*S[-1, Infinity]^5)/240 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1147*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     19*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/24 + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-49*S[-5, -1, Infinity] + 
       24*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[2, 1, 1, -2, -2, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + (205099*S[2, Infinity]^4)/
    336000 - (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/64 + 
   (27*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((-155*S[-1, Infinity]*S[2, Infinity])/32 - (3239*S[3, Infinity])/512)*
    S[5, Infinity] - (5*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (521*S[5, 3, Infinity])/2560 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/64 - (3*S[-1, 1, 1, 1, Infinity])/8), 
 S[2, 1, 1, -3, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (209*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (667399*S[2, Infinity]^4)/196000 + 
   ((443*S[-1, Infinity]^2)/448 - (425*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((1943*S[-1, Infinity]*S[2, Infinity])/448 - 
     (12211*S[3, Infinity])/3584)*S[5, Infinity] - 
   (39537*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((-463*S[-1, Infinity]^4)/840 - 
     (229*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-77120*S[-7, -1, Infinity] - 26513*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/1680 - 
     (421*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (5877*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (127*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (43*S[-5, -1, Infinity] - 252*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, 1, -3, -1, Infinity] -> S[-1, Infinity]^8/576 + 
   (87*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (328627*S[2, Infinity]^4)/
    196000 + ((135*S[-1, Infinity]^2)/448 - (169*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((4533*S[-1, Infinity]*S[2, Infinity])/448 - 
     (445*S[3, Infinity])/3584)*S[5, Infinity] - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-1837*S[-1, Infinity]^4)/3360 + 
     (367*S[-1, 1, 1, 1, Infinity])/140) + 
   (68160*S[-7, -1, Infinity] + 21529*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-71*S[-1, Infinity]^5)/3360 - 
     (185*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (4889*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 + (19*S[-5, -1, Infinity])/7 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, -1, 3, 1, Infinity] -> (5*S[-1, Infinity]^8)/576 + 
   (149*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (26643*S[2, Infinity]^4)/196000 + ((-393*S[-1, Infinity]^2)/896 + 
     (691*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (21271*S[-1, Infinity]*S[2, Infinity])/896 - 
     (2767*S[3, Infinity])/448)*S[5, Infinity] - 
   (49821*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 97*S[5, -1, -1, Infinity]))/
    14 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((337*S[-1, Infinity]^4)/1680 + 
     (199*S[-1, 1, 1, 1, Infinity])/35) + 
   (-372480*S[-7, -1, Infinity] - 48011*S[5, 3, Infinity] - 
     55040*S[-5, -1, -1, -1, Infinity] - 52480*S[-5, -1, 1, 1, Infinity] + 
     89600*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-443*S[-1, Infinity]^5)/1680 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (2801*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (229*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[2, 1, -1, 3, -1, Infinity] -> (109*S[-1, Infinity]^2*S[2, Infinity]^3)/
    32 + (1827669*S[2, Infinity]^4)/784000 + 
   ((-547*S[-1, Infinity]^2)/448 - (2019*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((27639*S[-1, Infinity]*S[2, Infinity])/896 + 
     (6617*S[3, Infinity])/3584)*S[5, Infinity] - 
   (44*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (7360*S[-7, -1, Infinity] + 10169*S[5, 3, Infinity] + 
     14720*S[-5, -1, -1, -1, Infinity] - 14720*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((249*S[-1, Infinity]^4)/1120 + 
     (93*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    (S[-1, Infinity]^5/840 - (S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1341*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     S[-1, 1, 1, 1, 1, Infinity]/7) + S[2, Infinity]*
    (S[-1, Infinity]^6/40 + (71*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, -1, 2, 2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (807*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (20608471*S[2, Infinity]^4)/2352000 + 
   ((-503*S[-1, Infinity]^2)/28 - (2787*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (35771*S[-1, Infinity]*S[2, Infinity])/896 - (13427*S[3, Infinity])/
      1792)*S[5, Infinity] + (109973*S[-1, Infinity]*S[7, Infinity])/896 - 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-79*S[-5, 1, 1, Infinity] - 107*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((41*S[-1, Infinity]^4)/2240 - 
     (1243*S[-1, 1, 1, 1, Infinity])/280) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (494720*S[-7, -1, Infinity] + 185263*S[5, 3, Infinity] + 
     245760*S[-5, -1, -1, -1, Infinity] - 138240*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/84 - 
     (124*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (2587*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (55*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/40 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(309*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[2, 1, -1, 2, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (1763*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (10736941*S[2, Infinity]^4)/2352000 + 
   ((839*S[-1, Infinity]^2)/448 + (1101*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-4349*S[-1, Infinity]*S[2, Infinity])/448 + 
     (5637*S[3, Infinity])/3584)*S[5, Infinity] + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((4721*S[-1, Infinity]^4)/6720 + 
     (1719*S[-1, 1, 1, 1, Infinity])/280) + 
   (9280*S[-7, -1, Infinity] - 36597*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] + 21760*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-81*S[-1, Infinity]^5)/560 + 
     (293*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (2577*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, Infinity]/7) + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/60 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-97*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[2, 1, -1, 1, 3, Infinity] -> S[-1, Infinity]^8/576 + 
   (2073*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (113777*S[2, Infinity]^4)/392000 + 
   ((6789*S[-1, Infinity]^2)/896 - (1229*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (23469*S[-1, Infinity]*S[2, Infinity])/896 + (140587*S[3, Infinity])/
      3584)*S[5, Infinity] + (10893*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (389*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(109*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-1573*S[-1, Infinity]^4)/6720 + 
     (33*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (1941760*S[-7, -1, Infinity] + 347047*S[5, 3, Infinity] + 
     218880*S[-5, -1, -1, -1, Infinity] + 282880*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-431*S[-1, Infinity]^5)/840 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (20927*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (337*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/45 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-3049*S[-5, -1, Infinity] + 
       896*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, -1, 1, -3, Infinity] -> (-157*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (509489*S[2, Infinity]^4)/196000 + 
   ((-269*S[-1, Infinity]^2)/224 - (6973*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((114*S[-1, Infinity]*S[2, Infinity])/7 + 
     (5857*S[3, Infinity])/448)*S[5, Infinity] - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (100720*S[-7, -1, Infinity] + 20799*S[5, 3, Infinity] + 
     12160*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-311*S[-1, Infinity]^4)/840 - 
     (144*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-107*S[-1, Infinity]^5)/1680 - (43*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (3849*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-361*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, -1, -1, 3, Infinity] -> (117*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (2430149*S[2, Infinity]^4)/784000 + 
   ((-381*S[-1, Infinity]^2)/896 - (8745*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((225*S[-1, Infinity]*S[2, Infinity])/14 + 
     (17205*S[3, Infinity])/896)*S[5, Infinity] - 
   (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (37270*S[-7, -1, Infinity] + 4789*S[5, 3, Infinity] + 
     3000*S[-5, -1, -1, -1, Infinity] + 5400*S[-5, -1, 1, 1, Infinity])/560 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/280 - 
     (141*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-79*S[-1, Infinity]^5)/840 + (505*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (3145*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (79*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + 
     (-659*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, -1, -1, -3, Infinity] -> S[-1, Infinity]^8/96 + 
   (1591*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (620831*S[2, Infinity]^4)/112000 + 
   ((4029*S[-1, Infinity]^2)/448 - (3395*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (59131*S[-1, Infinity]*S[2, Infinity])/896 + (3625*S[3, Infinity])/64)*
    S[5, Infinity] + (98829*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (160*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(69*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((317*S[-1, Infinity]^4)/960 + 
     (103*S[-1, 1, 1, 1, Infinity])/40) + 
   (30360*S[-7, -1, Infinity] + 5803*S[5, 3, Infinity] + 
     4160*S[-5, -1, -1, -1, Infinity] + 3040*S[-5, -1, 1, 1, Infinity] + 
     960*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/40 + 
     (105*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (72281*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (81*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/240 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-259*S[-5, -1, Infinity] + 
       60*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[2, 1, -1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/96 - (4003*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (5462393*S[2, Infinity]^4)/2352000 + 
   ((-605*S[-1, Infinity]^2)/448 + (1655*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-27*S[-1, Infinity]*S[2, Infinity])/7 - 
     (42463*S[3, Infinity])/3584)*S[5, Infinity] + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-1193*S[-1, Infinity]^4)/1680 - 
     (697*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/4 - (219*S[-5, -1, Infinity])/28 - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (225920*S[-7, -1, Infinity] + 8457*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/560 - 
     (83*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (7081*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, -1, -2, -2, Infinity] -> 
  S[-1, Infinity]^8/72 + (7611*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (347861*S[2, Infinity]^4)/235200 + 
   ((173*S[-1, Infinity]^2)/16 - (419*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (3185*S[-1, Infinity]*S[2, Infinity])/128 + 
     (64353*S[3, Infinity])/3584)*S[5, Infinity] - 
   (103749*S[-1, Infinity]*S[7, Infinity])/3584 - 
   9*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(61*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity]))/
    7 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-167*S[-1, Infinity]^4)/2240 + 
     (2181*S[-1, 1, 1, 1, Infinity])/280) + 
   (173504*S[-7, -1, Infinity] + 28127*S[5, 3, Infinity] + 
     2048*S[-5, -1, -1, -1, Infinity] + 40960*S[-5, -1, 1, 1, Infinity] + 
     28672*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/84 + 
     (124*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (4171*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (55*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/120 - (1595*S[-5, -1, Infinity])/
      56 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, -1, -3, 1, Infinity] -> S[-1, Infinity]^8/192 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (43433*S[2, Infinity]^4)/98000 + ((1037*S[-1, Infinity]^2)/896 + 
     (2285*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-117*S[-1, Infinity]*S[2, Infinity])/14 - (23227*S[3, Infinity])/3584)*
    S[5, Infinity] + (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((851*S[-1, Infinity]^4)/1680 + 
     (47*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 - (39*S[-5, -1, Infinity])/7 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (40000*S[-7, -1, Infinity] - 100463*S[5, 3, Infinity] - 
     49920*S[-5, -1, -1, -1, Infinity] + 49920*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/1120 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (3081*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, -1, -3, -1, Infinity] -> 
  S[-1, Infinity]^8/192 - (1313*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (22293*S[2, Infinity]^4)/19600 + ((-173*S[-1, Infinity]^2)/112 + 
     (1975*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (2811*S[-1, Infinity]*S[2, Infinity])/896 - 
     (18913*S[3, Infinity])/1792)*S[5, Infinity] - 
   (9325*S[-1, Infinity]*S[7, Infinity])/896 + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 83*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-1397*S[-1, Infinity]^4)/6720 + 
     (557*S[-1, 1, 1, 1, Infinity])/280) + 
   (-2764*S[-7, -1, Infinity] - 1543*S[5, 3, Infinity] - 
     1664*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
     672*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/840 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1101*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (659*S[-5, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, -2, 2, 1, Infinity] -> S[-1, Infinity]^8/288 + 
   (223*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (2672721*S[2, Infinity]^4)/784000 + 
   ((713*S[-1, Infinity]^2)/112 + (7685*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((2959*S[-1, Infinity]*S[2, Infinity])/896 - 
     (547*S[3, Infinity])/3584)*S[5, Infinity] - 
   (40407*S[-1, Infinity]*S[7, Infinity])/896 - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/7 + (15*S[-1, 1, 1, 1, Infinity])/
      7) + (-37120*S[-7, -1, Infinity] - 49899*S[5, 3, Infinity] - 
     47360*S[-5, -1, -1, -1, Infinity] + 47360*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-589*S[-1, Infinity]^5)/1680 + 
     (33*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (6059*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (99*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-487*S[-5, -1, Infinity] - 
       672*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, 1, -2, 2, -1, Infinity] -> S[-1, Infinity]^8/288 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (632381*S[2, Infinity]^4)/
    392000 + ((-387*S[-1, Infinity]^2)/224 - (1811*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((19647*S[-1, Infinity]*S[2, Infinity])/896 + 
     (11229*S[3, Infinity])/3584)*S[5, Infinity] - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-1537*S[-1, Infinity]^4)/1680 + 
     (67*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (8480*S[-7, -1, Infinity] + 21299*S[5, 3, Infinity] + 
     23680*S[-5, -1, -1, -1, Infinity] - 23680*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*(S[-1, Infinity]^5/1680 - 
     (221*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (5587*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, 1, 1, 1, 1, Infinity]/14) + S[2, Infinity]*
    ((19*S[-1, Infinity]^6)/120 + (74*S[-5, -1, Infinity])/7 - 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, -2, 1, 2, Infinity] -> (-1357*S[2, Infinity]^4)/8000 - 
   (39*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/32 + (137*S[3, Infinity])/128)*
    S[5, Infinity] + (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (233*S[5, 3, Infinity])/1280, S[2, 1, -2, 1, -2, Infinity] -> 
  (18427*S[2, Infinity]^4)/112000 + (15*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/64 - (103*S[3, Infinity])/512)*
    S[5, Infinity] - (3*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (233*S[5, 3, Infinity])/1280, S[2, 1, -2, -1, 2, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (75263*S[2, Infinity]^4)/
    28000 + (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/64 - 
   (495*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   (12981*S[3, Infinity]*S[5, Infinity])/512 + 
   (11*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (-19840*S[-7, -1, Infinity] + 15069*S[5, 3, Infinity])/2560 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/60 + 
     (14*S[-1, 1, 1, 1, Infinity])/5), S[2, 1, -2, -1, -2, Infinity] -> 
  S[-1, Infinity]^8/144 - (S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (883553*S[2, Infinity]^4)/112000 + 
   ((-107*S[-1, Infinity]^2)/16 + (21*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-1267*S[-1, Infinity]*S[2, Infinity])/128 + (3505*S[3, Infinity])/512)*
    S[5, Infinity] + (6033*S[-1, Infinity]*S[7, Infinity])/512 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/48 + (7*S[-1, 1, 1, 1, Infinity])/
      2) + (-30400*S[-7, -1, Infinity] + 10479*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] - 30720*S[-5, -1, 1, 1, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/120 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (39*S[-1, Infinity]*S[2, Infinity]^2)/10 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/60 + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (13*S[-5, -1, Infinity] + 
       288*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[2, 1, -2, -2, 1, Infinity] -> (-1401*S[2, Infinity]^4)/3500 - 
   (105*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   (2091*S[3, Infinity]*S[5, Infinity])/512 + (5179*S[5, 3, Infinity])/2560, 
 S[2, 1, -2, -2, -1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (403*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2624939*S[2, Infinity]^4)/392000 + 
   (-S[-1, Infinity]^2/4 + (251*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-1127*S[-1, Infinity]*S[2, Infinity])/128 - (183*S[3, Infinity])/224)*
    S[5, Infinity] - (3135*S[-1, Infinity]*S[7, Infinity])/1792 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/42 - 
     (40*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-47360*S[-7, -1, Infinity] - 21237*S[5, 3, Infinity] - 
     40960*S[-5, -1, -1, -1, Infinity] + 40960*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((313*S[-1, Infinity]^5)/1680 - 
     (215*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (2283*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (34*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/40 - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-67*S[-5, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, -3, 1, 1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (1251*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1267641*S[2, Infinity]^4)/392000 + 
   ((-1749*S[-1, Infinity]^2)/224 - (209*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 - 
     (2229*S[-1, Infinity]*S[2, Infinity])/448 - (21663*S[3, Infinity])/1792)*
    S[5, Infinity] + (44735*S[-1, Infinity]*S[7, Infinity])/896 + 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-36*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((87*S[-1, Infinity]^4)/224 - 
     (135*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (72320*S[-7, -1, Infinity] + 39303*S[5, 3, Infinity] + 
     55040*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((293*S[-1, Infinity]^5)/560 - 
     (243*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (829*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (197*S[-5, -1, Infinity] + 252*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, 1, -3, 1, -1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (74063*S[2, Infinity]^4)/
    78400 + ((39*S[-1, Infinity]^2)/448 + (1167*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/96 - 
     (979*S[-1, Infinity]*S[2, Infinity])/56 - (2899*S[3, Infinity])/448)*
    S[5, Infinity] + (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((1751*S[-1, Infinity]^4)/3360 - 
     (71*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-1656*S[-7, -1, Infinity] - 835*S[5, 3, Infinity] - 
     960*S[-5, -1, -1, -1, Infinity] + 512*S[-5, -1, 1, 1, Infinity] - 
     448*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/1680 + 
     (275*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (317*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (83*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/240 - (43*S[-5, -1, Infinity])/
      14 + (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, -3, -1, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (1163999*S[2, Infinity]^4)/
    392000 + ((-99*S[-1, Infinity]^2)/224 - (143*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/96 + 
     (2329*S[-1, Infinity]*S[2, Infinity])/224 - (1497*S[3, Infinity])/112)*
    S[5, Infinity] - (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (53*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((281*S[-1, Infinity]^4)/1120 - 
     (213*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (16960*S[-7, -1, Infinity] - 4127*S[5, 3, Infinity] + 
     7040*S[-5, -1, -1, -1, Infinity] - 4800*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*(S[-1, Infinity]^5/28 + 
     (107*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (12*S[-1, Infinity]*S[2, Infinity]^2)/7 - 
     (30*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, -3, -1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/576 - (361*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (32369*S[2, Infinity]^4)/7840 + ((-449*S[-1, Infinity]^2)/112 - 
     (633*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 + (3601*S[-1, Infinity]*S[2, Infinity])/224 - 
     (2733*S[3, Infinity])/224)*S[5, Infinity] + 
   (4711*S[-1, Infinity]*S[7, Infinity])/128 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 7*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((83*S[-1, Infinity]^4)/420 - 
     (166*S[-1, 1, 1, 1, Infinity])/35) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (22640*S[-7, -1, Infinity] + 4047*S[5, 3, Infinity] + 
     5632*S[-5, -1, -1, -1, Infinity] - 2048*S[-5, -1, 1, 1, Infinity] - 
     6272*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((277*S[-1, Infinity]^5)/840 - 
     (8*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (871*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (3*(-83*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[2, -1, 3, 1, 1, Infinity] -> S[-1, Infinity]^8/288 + 
   (109*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (289227*S[2, Infinity]^4)/784000 + 
   ((57*S[-1, Infinity]^2)/64 - (4961*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/48 + (1245*S[-1, Infinity]*S[2, Infinity])/128 + 
     (43145*S[3, Infinity])/3584)*S[5, Infinity] + 
   (4997*S[-1, Infinity]*S[7, Infinity])/896 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*(-S[-1, Infinity]^4/105 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (53920*S[-7, -1, Infinity] + 12547*S[5, 3, Infinity] + 
     12640*S[-5, -1, -1, -1, Infinity] + 3040*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-517*S[-1, Infinity]^5)/3360 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1247*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-425*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -1, 3, 1, -1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (2673*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (19441*S[2, Infinity]^4)/156800 + 
   ((109*S[-1, Infinity]^2)/28 + (913*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/96 - (2833*S[-1, Infinity]*S[2, Infinity])/56 - 
     (14653*S[3, Infinity])/448)*S[5, Infinity] + 
   (197*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((2963*S[-1, Infinity]^4)/3360 + 
     (187*S[-1, 1, 1, 1, Infinity])/140) + 
   (-262656*S[-7, -1, Infinity] - 62581*S[5, 3, Infinity] - 
     54016*S[-5, -1, -1, -1, Infinity] - 17664*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((65*S[-1, Infinity]^5)/672 - 
     (325*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1265*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (325*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/240 + (271*S[-5, -1, Infinity])/
      14 + (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 3, -1, 1, Infinity] -> (7*S[-1, Infinity]^8)/576 + 
   (53*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (20943*S[2, Infinity]^4)/
    56000 + ((-27*S[-1, Infinity]^2)/32 - (175*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (583*S[-1, Infinity]*S[2, Infinity])/32 + (3043*S[3, Infinity])/512)*
    S[5, Infinity] - 3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-319*S[-1, Infinity]^4)/480 + 
     (49*S[-1, 1, 1, 1, Infinity])/20) + 
   (126720*S[-7, -1, Infinity] + 26763*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] + 17920*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/120 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1897*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/240 - (41*S[-5, -1, Infinity])/2 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 3, -1, -1, Infinity] -> S[-1, Infinity]^8/72 + 
   (261*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (82211*S[2, Infinity]^4)/98000 + ((-9*S[-1, Infinity]^2)/14 - 
     (779*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/48 + (4261*S[-1, Infinity]*S[2, Infinity])/56 + 
     (3155*S[3, Infinity])/56)*S[5, Infinity] - 
   (6761*S[-1, Infinity]*S[7, Infinity])/896 - 
   (114*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/70 + 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (S[-1, Infinity]^6/12 - (316*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (326400*S[-7, -1, Infinity] + 71563*S[5, 3, Infinity] + 
     61440*S[-5, -1, -1, -1, Infinity] + 28160*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-1087*S[-1, Infinity]^5)/1680 + 
     (793*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (7849*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (176*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -1, 2, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/48 + (219*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (254049*S[2, Infinity]^4)/392000 + 
   ((209*S[-1, Infinity]^2)/32 - (10879*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (1397*S[-1, Infinity]*S[2, Infinity])/32 + (19883*S[3, Infinity])/896)*
    S[5, Infinity] - (32499*S[-1, Infinity]*S[7, Infinity])/3584 - 
   11*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(51*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 - S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((32*S[-1, Infinity]^4)/105 + 
     (269*S[-1, 1, 1, 1, Infinity])/35) + 
   (27840*S[-7, -1, Infinity] + 6437*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((-1129*S[-1, Infinity]^5)/1680 + 
     (779*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (35*S[-1, Infinity]*S[2, Infinity]^2)/2 + 
     (25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (127*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/5 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-113*S[-5, -1, Infinity] - 
       1008*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -1, 2, 2, -1, Infinity] -> (5*S[-1, Infinity]^8)/144 + 
   (751*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (494063*S[2, Infinity]^4)/98000 + ((-199*S[-1, Infinity]^2)/224 + 
     (537*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((2487*S[-1, Infinity]*S[2, Infinity])/56 - (6981*S[3, Infinity])/448)*
    S[5, Infinity] + (16*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-351*S[-1, Infinity]^4)/280 + 
     (423*S[-1, 1, 1, 1, Infinity])/35) + 
   (-198400*S[-7, -1, Infinity] - 27037*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 51200*S[-5, -1, 1, 1, Infinity] + 
     89600*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/840 + 
     (S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (639*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/60 + (216*S[-5, -1, Infinity])/7 - 
     14*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     48*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 2, 1, 2, Infinity] -> S[-1, Infinity]^8/72 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (795707*S[2, Infinity]^4)/
    112000 + ((89*S[-1, Infinity]^2)/8 + (151*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((169*S[-1, Infinity]*S[2, Infinity])/32 + 
     (4861*S[3, Infinity])/128)*S[5, Infinity] - 
   (20511*S[-1, Infinity]*S[7, Infinity])/256 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 8*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/80 + 
     (31*S[-1, 1, 1, 1, Infinity])/10) + 
   (-10240*S[-7, -1, Infinity] - 6193*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/60 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (133*S[-1, Infinity]*S[2, Infinity]^2)/10 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 32*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/15 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-15*S[-5, -1, Infinity] - 
        16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[2, -1, 2, 1, -2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (193*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (71181*S[2, Infinity]^4)/56000 + 
   ((9*S[-1, Infinity]^2)/8 + (179*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-6145*S[-1, Infinity]*S[2, Infinity])/128 - (7247*S[3, Infinity])/512)*
    S[5, Infinity] + 4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/192 - 
     (45*S[-1, 1, 1, 1, Infinity])/8) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-10240*S[-7, -1, Infinity] - 6193*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*(S[-1, Infinity]^5/8 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (3011*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/10 - 16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(19*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[2, -1, 2, -1, 2, Infinity] -> -S[-1, Infinity]^8/36 - 
   (2123*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (42293*S[2, Infinity]^4)/6125 + ((45*S[-1, Infinity]^2)/56 - 
     (17*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-18327*S[-1, Infinity]*S[2, Infinity])/448 + (961*S[3, Infinity])/112)*
    S[5, Infinity] + (20*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((377*S[-1, Infinity]^4)/420 - 
     (334*S[-1, 1, 1, 1, Infinity])/35) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-6080*S[-7, -1, Infinity] - 12623*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/70 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (409*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (52*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 + 8*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[2, -1, 2, -1, -2, Infinity] -> S[-1, Infinity]^8/36 + 
   (1031*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (416431*S[2, Infinity]^4)/49000 + 
   ((605*S[-1, Infinity]^2)/56 + (4691*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-7799*S[-1, Infinity]*S[2, Infinity])/448 + 
     (961*S[3, Infinity])/112)*S[5, Infinity] - 
   (255*S[-1, Infinity]*S[7, Infinity])/4 - 
   (36*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/280 + 
     (387*S[-1, 1, 1, 1, Infinity])/35) + 
   (-6080*S[-7, -1, Infinity] - 12623*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-94*S[-1, Infinity]^5)/105 + 
     (118*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (1383*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     20*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (52*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1573*S[-5, -1, Infinity] + 
       2352*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, -1, 2, -2, 1, Infinity] -> (-5*S[-1, Infinity]^8)/288 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (137779*S[2, Infinity]^4)/
    16000 + ((81*S[-1, Infinity]^2)/32 + (369*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-3357*S[-1, Infinity]*S[2, Infinity])/64 - 
     (761*S[3, Infinity])/512)*S[5, Infinity] + 
   9*S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    ((-67*S[-1, Infinity]^4)/48 - (11*S[-1, 1, 1, 1, Infinity])/2) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-18240*S[-7, -1, Infinity] - 20729*S[5, 3, Infinity] - 
     46080*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity] - 
     25600*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/30 - 
     (33*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (4553*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((49*S[-1, Infinity]^6)/120 - 36*S[-5, -1, Infinity] - 
     11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 2, -2, -1, Infinity] -> -S[-1, Infinity]^8/36 - 
   (241*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (38597*S[2, Infinity]^4)/2800 + ((677*S[-1, Infinity]^2)/112 - 
     (647*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (855*S[-1, Infinity]*S[2, Infinity])/28 + 
     (239*S[3, Infinity])/4)*S[5, Infinity] - 
   (11847*S[-1, Infinity]*S[7, Infinity])/896 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(37*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((2*S[-1, Infinity]^4)/15 - 
     (76*S[-1, 1, 1, 1, Infinity])/5) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (2560*S[-7, -1, Infinity] + 427*S[5, 3, Infinity] + 
     128*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     512*S[-1, 1, 1, 1, Infinity]^2)/32 + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/120 - (7*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (12993*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     36*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/15 + 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     2*(-23*S[-5, -1, Infinity] - 12*S[-1, 1, 1, 1, 1, 1, Infinity])), 
 S[2, -1, 1, 3, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (1219*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1037059*S[2, Infinity]^4)/392000 + 
   ((1979*S[-1, Infinity]^2)/896 + (635*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 - 
     (17357*S[-1, Infinity]*S[2, Infinity])/896 + (25947*S[3, Infinity])/
      3584)*S[5, Infinity] + (23039*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((27*S[-1, Infinity]^4)/280 - 
     (81*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (19840*S[-7, -1, Infinity] + 743*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/168 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (23*S[-1, Infinity]*S[2, Infinity]^2)/14 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (25*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/240 - (137*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 1, 3, -1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (603*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1391863*S[2, Infinity]^4)/784000 + 
   ((-1247*S[-1, Infinity]^2)/448 - (3503*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((3009*S[-1, Infinity]*S[2, Infinity])/224 + 
     (1527*S[3, Infinity])/1792)*S[5, Infinity] - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-1339*S[-1, Infinity]^4)/3360 - 
     (131*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (471040*S[-7, -1, Infinity] + 130849*S[5, 3, Infinity] + 
     126720*S[-5, -1, -1, -1, Infinity] - 19200*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/3360 - 
     (179*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (8269*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (179*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 + (8*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 1, 2, 2, Infinity] -> -S[-1, Infinity]^8/48 - 
   (1259*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (5298611*S[2, Infinity]^4)/470400 + 
   ((-2573*S[-1, Infinity]^2)/112 - (543*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (5681*S[-1, Infinity]*S[2, Infinity])/448 - (3319*S[3, Infinity])/56)*
    S[5, Infinity] + (369885*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (87*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-121*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/7 - 
     (41*S[-1, 1, 1, 1, Infinity])/7) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (-80000*S[-7, -1, Infinity] - 
     3425*S[5, 3, Infinity] + 17408*S[-5, -1, -1, -1, Infinity] - 
     38912*S[-5, -1, 1, 1, Infinity] - 21504*S[-1, 1, 1, 1, Infinity]^2)/
    1792 + S[3, Infinity]*((551*S[-1, Infinity]^5)/420 - 
     (202*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (59657*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (367*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/24 - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-729*S[-5, -1, Infinity] - 560*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[2, -1, 1, 2, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (57*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (1337183*S[2, Infinity]^4)/
    1176000 + ((1905*S[-1, Infinity]^2)/448 - (387*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((7165*S[-1, Infinity]*S[2, Infinity])/896 - 
     (8465*S[3, Infinity])/3584)*S[5, Infinity] - 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((867*S[-1, Infinity]^4)/2240 + 
     (2719*S[-1, 1, 1, 1, Infinity])/280) + 
   (5440*S[-7, -1, Infinity] + 5289*S[5, 3, Infinity] + 
     10880*S[-5, -1, -1, -1, Infinity] - 10880*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-167*S[-1, Infinity]^5)/336 + 
     (541*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2279*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/30 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (6*(15*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, -1, 1, 1, 3, Infinity] -> S[-1, Infinity]^8/288 - 
   (1411*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (307091*S[2, Infinity]^4)/98000 + 
   ((417*S[-1, Infinity]^2)/128 + (15739*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (509*S[-1, Infinity]*S[2, Infinity])/64 - (9025*S[3, Infinity])/1792)*
    S[5, Infinity] - (92839*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((431*S[-1, Infinity]^4)/3360 + 
     (269*S[-1, 1, 1, 1, Infinity])/140) + 
   (-394880*S[-7, -1, Infinity] - 91607*S[5, 3, Infinity] - 
     86400*S[-5, -1, -1, -1, Infinity] - 12160*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-407*S[-1, Infinity]^5)/3360 + 
     (337*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (101*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/18 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (593*S[-5, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^8/144 - 
   (157*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (962049*S[2, Infinity]^4)/392000 + 
   ((-201*S[-1, Infinity]^2)/448 + (3603*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-7563*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1377*S[3, Infinity])/1792)*S[5, Infinity] + 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/224 - 
     (145*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-229120*S[-7, -1, Infinity] - 47997*S[5, 3, Infinity] - 
     55040*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((437*S[-1, Infinity]^5)/1680 - 
     (601*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1945*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((83*S[-1, Infinity]^6)/720 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (5*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[2, -1, 1, -1, 3, Infinity] -> S[-1, Infinity]^8/576 + 
   (1497*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (163753*S[2, Infinity]^4)/784000 + 
   ((1287*S[-1, Infinity]^2)/896 + (3175*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]*S[2, Infinity])/112 - 
     (17527*S[3, Infinity])/3584)*S[5, Infinity] + 
   (45*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-243*S[-1, Infinity]^4)/1120 + 
     (99*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (29440*S[-7, -1, Infinity] - 45711*S[5, 3, Infinity] - 
     57600*S[-5, -1, -1, -1, Infinity] + 57600*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/35 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (969*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 - (45*S[-5, -1, Infinity])/7 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 1, -1, -3, Infinity] -> (253*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (2266797*S[2, Infinity]^4)/784000 + 
   ((-2141*S[-1, Infinity]^2)/448 - (2579*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 + 
     (5923*S[-1, Infinity]*S[2, Infinity])/224 - (2043*S[3, Infinity])/896)*
    S[5, Infinity] + (71999*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] - 75*S[5, -1, -1, Infinity]))/
    14 + (238080*S[-7, -1, Infinity] + 77033*S[5, 3, Infinity] + 
     99840*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-319*S[-1, Infinity]^4)/3360 + 
     (109*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((421*S[-1, Infinity]^5)/3360 - 
     (323*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1135*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (44*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(85*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[2, -1, 1, -2, 2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (981*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (584561*S[2, Infinity]^4)/235200 + 
   ((-2139*S[-1, Infinity]^2)/448 - (4931*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((3891*S[-1, Infinity]*S[2, Infinity])/448 + 
     (5447*S[3, Infinity])/448)*S[5, Infinity] - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-167*S[-1, Infinity]^4)/560 - 
     (549*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*(2720*S[-7, -1, Infinity] - 509*S[5, 3, Infinity] - 
      384*S[-5, -1, -1, -1, Infinity] + 384*S[-5, -1, 1, 1, Infinity] + 
      1792*S[-1, 1, 1, 1, Infinity]^2))/896 + 
   S[3, Infinity]*((757*S[-1, Infinity]^5)/1680 - 
     (463*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (17723*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/5 + (163*S[-5, -1, Infinity])/28 - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 1, -2, -2, Infinity] -> (-1483*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (273863*S[2, Infinity]^4)/36750 + 
   ((89*S[-1, Infinity]^2)/16 + (16949*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (1383*S[-1, Infinity]*S[2, Infinity])/64 + (4995*S[3, Infinity])/896)*
    S[5, Infinity] - (43439*S[-1, Infinity]*S[7, Infinity])/896 + 
   5*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity]))/
    7 + (-100160*S[-7, -1, Infinity] - 26819*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((43*S[-1, Infinity]^4)/280 - 
     (24*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/168 + (55*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (519*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (55*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (449*S[-5, -1, Infinity] - 
       1008*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -1, 1, -3, 1, Infinity] -> S[-1, Infinity]^8/288 + 
   (773*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (11647*S[2, Infinity]^4)/2450 + ((1329*S[-1, Infinity]^2)/896 - 
     (1263*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((3069*S[-1, Infinity]*S[2, Infinity])/224 - (17191*S[3, Infinity])/3584)*
    S[5, Infinity] - (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((481*S[-1, Infinity]^4)/840 + 
     (149*S[-1, 1, 1, 1, Infinity])/35) + 
   (-8896*S[-7, -1, Infinity] + 5625*S[5, 3, Infinity] + 
     20736*S[-5, -1, -1, -1, Infinity] - 20736*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-277*S[-1, Infinity]^5)/1120 + 
     (163*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (15807*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/240 + (81*S[-5, -1, Infinity])/7 + 
     (11*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, 1, -3, -1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (85*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + (1039711*S[2, Infinity]^4)/
    784000 + ((-71*S[-1, Infinity]^2)/14 + (499*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 - 
     (6791*S[-1, Infinity]*S[2, Infinity])/448 - (24239*S[3, Infinity])/1792)*
    S[5, Infinity] + (92661*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-55*S[-5, 1, 1, Infinity] - 111*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((541*S[-1, Infinity]^4)/672 - 
     (79*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-259200*S[-7, -1, Infinity] - 24201*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 64000*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((1597*S[-1, Infinity]^5)/3360 - 
     (173*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (27397*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (93*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (947*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -1, -1, 3, 1, Infinity] -> (97*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (1286653*S[2, Infinity]^4)/784000 + 
   ((-225*S[-1, Infinity]^2)/448 - (1025*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((3069*S[-1, Infinity]*S[2, Infinity])/896 + 
     (24935*S[3, Infinity])/1792)*S[5, Infinity] - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-45200*S[-7, -1, Infinity] + 15221*S[5, 3, Infinity] + 
     16000*S[-5, -1, -1, -1, Infinity] - 16000*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-115*S[-1, Infinity]^4)/336 + 
     (31*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-173*S[-1, Infinity]^5)/1680 - (95*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (6287*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (173*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 + (50*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -1, 3, -1, Infinity] -> (3189*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (626873*S[2, Infinity]^4)/196000 + 
   ((725*S[-1, Infinity]^2)/112 + (89*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/8 - (6625*S[-1, Infinity]*S[2, Infinity])/448 + 
     (4595*S[3, Infinity])/448)*S[5, Infinity] + 
   (4199*S[-1, Infinity]*S[7, Infinity])/512 - 
   (97*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity]))/
    2 + (-83200*S[-7, -1, Infinity] + 5531*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((1291*S[-1, Infinity]^4)/1344 + 
     (53*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-631*S[-1, Infinity]^5)/3360 + (337*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (149*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 - (25*S[-5, -1, Infinity])/14 + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -1, 2, 2, Infinity] -> S[-1, Infinity]^8/288 + 
   (1931*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1059133*S[2, Infinity]^4)/2352000 + 
   ((-9*S[-1, Infinity]^2)/112 - (265*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((5535*S[-1, Infinity]*S[2, Infinity])/448 + (23563*S[3, Infinity])/1792)*
    S[5, Infinity] - (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-487*S[-1, Infinity]^4)/840 + 
     (172*S[-1, 1, 1, 1, Infinity])/35) + 
   (-135200*S[-7, -1, Infinity] - 421*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/140 + 
     (S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (813*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/120 + (43*S[-5, -1, Infinity])/7 - 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -1, 2, -2, Infinity] -> -S[-1, Infinity]^8/48 - 
   (1779*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (1546501*S[2, Infinity]^4)/168000 + 
   ((-115*S[-1, Infinity]^2)/16 + (487*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (3143*S[-1, Infinity]*S[2, Infinity])/64 - 
     (3273*S[3, Infinity])/128)*S[5, Infinity] - 
   (123*S[-1, Infinity]*S[7, Infinity])/32 + 18*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 8*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-371*S[-1, Infinity]^4)/320 - 
     (567*S[-1, 1, 1, 1, Infinity])/40) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (-14080*S[-7, -1, Infinity] - 
     3427*S[5, 3, Infinity] - 3200*S[-5, -1, -1, -1, Infinity] - 
     640*S[-5, -1, 1, 1, Infinity] - 1920*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*((257*S[-1, Infinity]^5)/240 - 
     (81*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (1933*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/30 + 31*S[-5, -1, Infinity] - 
     12*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]), S[2, -1, -1, 1, 3, Infinity] -> 
  -S[-1, Infinity]^8/576 - (373*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (713079*S[2, Infinity]^4)/156800 + 
   ((369*S[-1, Infinity]^2)/448 + (5111*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-18915*S[-1, Infinity]*S[2, Infinity])/896 - 
     (101993*S[3, Infinity])/3584)*S[5, Infinity] + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((1949*S[-1, Infinity]^4)/3360 + 
     (361*S[-1, 1, 1, 1, Infinity])/140) + 
   (-239424*S[-7, -1, Infinity] - 42831*S[5, 3, Infinity] - 
     20992*S[-5, -1, -1, -1, Infinity] - 32768*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((179*S[-1, Infinity]^5)/1680 - 
     (53*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (16747*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (179*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/240 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (631*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, -1, -1, 1, -3, Infinity] -> -S[-1, Infinity]^8/192 - 
   (1307*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (70053*S[2, Infinity]^4)/49000 + ((-817*S[-1, Infinity]^2)/112 + 
     (20361*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/16 - (44383*S[-1, Infinity]*S[2, Infinity])/896 - 
     (50639*S[3, Infinity])/896)*S[5, Infinity] - 
   (160011*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (263*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-115*S[-5, 1, 1, Infinity] + 81*S[5, -1, -1, Infinity]))/
    14 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1261*S[-1, Infinity]^4)/6720 + 
     (419*S[-1, 1, 1, 1, Infinity])/280) + 
   (-713200*S[-7, -1, Infinity] - 134371*S[5, 3, Infinity] - 
     94720*S[-5, -1, -1, -1, Infinity] - 80000*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((163*S[-1, Infinity]^5)/336 - 
     (345*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (29009*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (285*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(527*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[2, -1, -1, -1, 3, Infinity] -> (-12469*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (191609*S[2, Infinity]^4)/39200 + 
   ((-277*S[-1, Infinity]^2)/112 + (2147*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/8 - 
     (8597*S[-1, Infinity]*S[2, Infinity])/112 - (3795*S[3, Infinity])/56)*
    S[5, Infinity] - (19965*S[-1, Infinity]*S[7, Infinity])/224 + 
   (178*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + (-3075*S[-7, -1, Infinity] - 645*S[5, 3, Infinity] - 
     536*S[-5, -1, -1, -1, Infinity] - 248*S[-5, -1, 1, 1, Infinity])/14 + 
   S[2, Infinity]^2*((-571*S[-1, Infinity]^4)/2240 + 
     (593*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((1307*S[-1, Infinity]^5)/3360 - 
     (1433*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (34697*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (248*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 + 
     (2*(229*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, -1, -1, -1, -3, Infinity] -> -S[-1, Infinity]^8/192 - 
   (873*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (243513*S[2, Infinity]^4)/156800 + 
   ((207*S[-1, Infinity]^2)/112 + (3615*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-4731*S[-1, Infinity]*S[2, Infinity])/112 - 
     (10315*S[3, Infinity])/448)*S[5, Infinity] + 
   (46*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((191*S[-1, Infinity]^4)/1680 + 
     (27*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-81040*S[-7, -1, Infinity] - 15845*S[5, 3, Infinity] - 
     11776*S[-5, -1, -1, -1, Infinity] - 6144*S[-5, -1, 1, 1, Infinity] - 
     2688*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((233*S[-1, Infinity]^5)/1120 - 
     (275*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (15549*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (2*(-69*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, -1, -1, -2, 2, Infinity] -> S[-1, Infinity]^8/48 + 
   (3681*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (247333*S[2, Infinity]^4)/235200 + 
   ((1525*S[-1, Infinity]^2)/112 + (7267*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (22079*S[-1, Infinity]*S[2, Infinity])/448 - (18485*S[3, Infinity])/896)*
    S[5, Infinity] - (3949*S[-1, Infinity]*S[7, Infinity])/32 + 
   (34*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]) - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((2419*S[-1, Infinity]^4)/2240 + 
     (3383*S[-1, 1, 1, 1, Infinity])/280) + 
   (-11520*S[-7, -1, Infinity] - 2897*S[5, 3, Infinity] - 
     2880*S[-5, -1, -1, -1, Infinity] + 192*S[-5, -1, 1, 1, Infinity] + 
     1344*S[-1, 1, 1, 1, Infinity]^2)/112 + 
   S[3, Infinity]*((-1511*S[-1, Infinity]^5)/1680 + 
     (471*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (1461*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (102*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/5 + 12*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 20*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (12*(9*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, -1, -1, -2, -2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (3769*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (3662461*S[2, Infinity]^4)/1176000 + 
   ((-27*S[-1, Infinity]^2)/28 - (149*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((5737*S[-1, Infinity]*S[2, Infinity])/448 + (7285*S[3, Infinity])/1792)*
    S[5, Infinity] - (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((4859*S[-1, Infinity]^4)/6720 - 
     (99*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-85760*S[-7, -1, Infinity] + 27799*S[5, 3, Infinity] + 
     61440*S[-5, -1, -1, -1, Infinity] - 61440*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/35 + 
     (6*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (7131*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/40 + 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(81*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, -1, -1, -3, 1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (689*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (1991657*S[2, Infinity]^4)/392000 + 
   ((503*S[-1, Infinity]^2)/224 - (157*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/8 - 
     (13507*S[-1, Infinity]*S[2, Infinity])/448 + (10501*S[3, Infinity])/896)*
    S[5, Infinity] + (9807*S[-1, Infinity]*S[7, Infinity])/256 + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-503*S[-1, Infinity]^4)/1120 - 
     (1221*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (61760*S[-7, -1, Infinity] + 6681*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((613*S[-1, Infinity]^5)/1680 - 
     (613*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (5311*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (61*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/120 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-985*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -1, -1, -3, -1, Infinity] -> S[-1, Infinity]^8/192 - 
   (395*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (687*S[2, Infinity]^4)/6272 + ((-251*S[-1, Infinity]^2)/224 - 
     (683*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-2985*S[-1, Infinity]*S[2, Infinity])/448 + (5473*S[3, Infinity])/896)*
    S[5, Infinity] + (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-473*S[-1, Infinity]^4)/560 + 
     (27*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (21328*S[-7, -1, Infinity] + 2397*S[5, 3, Infinity] + 
     768*S[-5, -1, -1, -1, Infinity] + 4608*S[-5, -1, 1, 1, Infinity] + 
     2688*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/840 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (2113*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 - (58*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -2, 2, 1, Infinity] -> -S[-1, Infinity]^8/288 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (53803*S[2, Infinity]^4)/
    16000 + ((-27*S[-1, Infinity]^2)/32 - (123*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((2037*S[-1, Infinity]*S[2, Infinity])/128 - 
     (639*S[3, Infinity])/128)*S[5, Infinity] - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((197*S[-1, Infinity]^4)/240 + 
     (13*S[-1, 1, 1, 1, Infinity])/10) + 
   (1440*S[-7, -1, Infinity] + 6729*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*(S[-1, Infinity]^5/24 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/16 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-19*S[-1, Infinity]^6)/120 + 12*S[-5, -1, Infinity] + 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -2, 2, -1, Infinity] -> (4443*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (102097*S[2, Infinity]^4)/14000 + 
   ((-821*S[-1, Infinity]^2)/112 - (1325*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (42787*S[-1, Infinity]*S[2, Infinity])/896 + (4807*S[3, Infinity])/256)*
    S[5, Infinity] + (119883*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 75*S[5, -1, -1, Infinity]))/
    7 + (12800*S[-7, -1, Infinity] + 4073*S[5, 3, Infinity] + 
     4480*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity])/160 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/15 + (4*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(S[-1, Infinity]^5/15 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (1899*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/30 - 8*(2*S[-5, -1, Infinity] - 
       3*S[-1, 1, 1, 1, 1, 1, Infinity])), S[2, -1, -2, 1, 2, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (59881*S[2, Infinity]^4)/
    28000 - (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/64 + 
   (S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((-159*S[-1, Infinity]*S[2, Infinity])/128 - (1889*S[3, Infinity])/512)*
    S[5, Infinity] + (7*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-29440*S[-7, -1, Infinity] - 7303*S[5, 3, Infinity])/2560 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/60 + 
     (14*S[-1, 1, 1, 1, Infinity])/5), S[2, -1, -2, 1, -2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (113*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (59849*S[2, Infinity]^4)/14000 + 
   (-5*S[-1, Infinity]^2 - (65*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-1663*S[-1, Infinity]*S[2, Infinity])/128 + (1177*S[3, Infinity])/128)*
    S[5, Infinity] + (6033*S[-1, Infinity]*S[7, Infinity])/512 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/48 - 
     (17*S[-1, 1, 1, 1, Infinity])/2) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/12 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (2063*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - S[-5, -1, Infinity]/4 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-4160*S[-7, -1, Infinity] + 1627*S[5, 3, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2)/1280, S[2, -1, -2, -1, 2, Infinity] -> 
  (-3139*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1641903*S[2, Infinity]^4)/196000 + 
   ((-45*S[-1, Infinity]^2)/56 - (1269*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((48533*S[-1, Infinity]*S[2, Infinity])/896 + (1119*S[3, Infinity])/448)*
    S[5, Infinity] - (20*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (10560*S[-7, -1, Infinity] + 2711*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((213*S[-1, Infinity]^4)/280 - 
     (79*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/14 + (5*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (333*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (60*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/15 + 32*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (12*(37*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, -1, -2, -1, -2, Infinity] -> S[-1, Infinity]^8/144 + 
   (431*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (110281*S[2, Infinity]^4)/
    31360 + ((99*S[-1, Infinity]^2)/112 + (1599*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-895*S[-1, Infinity]*S[2, Infinity])/56 - 
     (2643*S[3, Infinity])/224)*S[5, Infinity] + 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-401*S[-1, Infinity]^4)/336 + 
     (37*S[-1, 1, 1, 1, Infinity])/14) + 
   (-6336*S[-7, -1, Infinity] - 6185*S[5, 3, Infinity] - 
     22528*S[-5, -1, -1, -1, Infinity] + 22528*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/140 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (513*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/60 - 10*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (6*(45*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, -1, -2, -2, 1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (599*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (132817*S[2, Infinity]^4)/196000 + 
   ((-173*S[-1, Infinity]^2)/32 - (7491*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (475*S[-1, Infinity]*S[2, Infinity])/32 + (38239*S[3, Infinity])/3584)*
    S[5, Infinity] + (59553*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] - 89*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/840 - 
     (284*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (97920*S[-7, -1, Infinity] + 27533*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((817*S[-1, Infinity]^5)/1680 - 
     (523*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1299*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/60 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-445*S[-5, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, -1, -2, -2, -1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (4241*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (546997*S[2, Infinity]^4)/784000 + 
   ((865*S[-1, Infinity]^2)/224 + (2945*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-50403*S[-1, Infinity]*S[2, Infinity])/896 - 
     (50037*S[3, Infinity])/1792)*S[5, Infinity] + 
   (58*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((209*S[-1, Infinity]^4)/280 + 
     (3*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-679360*S[-7, -1, Infinity] - 246069*S[5, 3, Infinity] - 
     225280*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/840 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (5293*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/60 + (48*S[-5, -1, Infinity])/7 + 
     10*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -3, 1, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (137*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (31891*S[2, Infinity]^4)/56000 + ((27*S[-1, Infinity]^2)/64 + 
     (59*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-531*S[-1, Infinity]*S[2, Infinity])/64 + (3015*S[3, Infinity])/256)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-341*S[-1, Infinity]^4)/480 + 
     (131*S[-1, 1, 1, 1, Infinity])/20) + 
   (-14400*S[-7, -1, Infinity] - 403*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/48 - 
     (53*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    ((19*S[-1, Infinity]^6)/240 - 6*S[-5, -1, Infinity] - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -1, -3, 1, -1, Infinity] -> -S[-1, Infinity]^8/64 + 
   (1943*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2715253*S[2, Infinity]^4)/392000 + 
   ((5*S[-1, Infinity]^2)/14 - (183*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/32 + (10183*S[-1, Infinity]*S[2, Infinity])/448 + 
     (98405*S[3, Infinity])/1792)*S[5, Infinity] - 
   (33155*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 10*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-1109*S[-1, Infinity]^4)/840 - 
     (361*S[-1, 1, 1, 1, Infinity])/35) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (847520*S[-7, -1, Infinity] + 165901*S[5, 3, Infinity] + 
     102400*S[-5, -1, -1, -1, Infinity] + 139520*S[-5, -1, 1, 1, Infinity] - 
     80640*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-137*S[-1, Infinity]^5)/3360 - 
     (157*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (15919*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (218*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((91*S[-1, Infinity]^6)/240 - 9*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-2605*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -1, -3, -1, 1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (33*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (1283561*S[2, Infinity]^4)/
    392000 + ((535*S[-1, Infinity]^2)/112 + (4825*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/32 - 
     (12877*S[-1, Infinity]*S[2, Infinity])/448 + (4673*S[3, Infinity])/1792)*
    S[5, Infinity] - (15955*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((857*S[-1, Infinity]^4)/1680 - 
     (166*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-93440*S[-7, -1, Infinity] - 33679*S[5, 3, Infinity] - 
     43520*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((527*S[-1, Infinity]^5)/3360 - 
     (233*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1207*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (52*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-577*S[-5, -1, Infinity] + 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -1, -3, -1, -1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (34*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (25891*S[2, Infinity]^4)/
    392000 + ((139*S[-1, Infinity]^2)/56 + (1089*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-12741*S[-1, Infinity]*S[2, Infinity])/224 - 
     (36389*S[3, Infinity])/896)*S[5, Infinity] + 
   (129*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((2113*S[-1, Infinity]^4)/1680 + 
     (197*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    ((-5*S[-1, Infinity]^6)/24 + (302*S[-5, -1, Infinity])/7 + 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1146560*S[-7, -1, Infinity] - 217533*S[5, 3, Infinity] - 
     174080*S[-5, -1, -1, -1, Infinity] - 121600*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/84 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (289*S[-1, Infinity]*S[2, Infinity]^2)/14 - 
     (190*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -2, 2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/48 - (138*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (4489277*S[2, Infinity]^4)/784000 + 
   ((-3295*S[-1, Infinity]^2)/224 - (607*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((6491*S[-1, Infinity]*S[2, Infinity])/896 - 
     (36893*S[3, Infinity])/1792)*S[5, Infinity] + 
   (317875*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (79*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/840 - 
     (236*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (89920*S[-7, -1, Infinity] + 
     121771*S[5, 3, Infinity] + 202240*S[-5, -1, -1, -1, Infinity] - 
     202240*S[-5, -1, 1, 1, Infinity] - 215040*S[-1, 1, 1, 1, Infinity]^2)/
    17920 + S[3, Infinity]*((53*S[-1, Infinity]^5)/56 - 
     (953*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (15061*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (365*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (1453*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -2, 2, 1, -1, Infinity] -> S[-1, Infinity]^8/144 + 
   (901*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (73523*S[2, Infinity]^4)/22400 + ((161*S[-1, Infinity]^2)/64 + 
     (161*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-267*S[-1, Infinity]*S[2, Infinity])/128 - (5205*S[3, Infinity])/512)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-559*S[-1, Infinity]^4)/960 + 
     (319*S[-1, 1, 1, 1, Infinity])/40) + 
   (-119*S[5, 3, Infinity] + 256*S[-1, 1, 1, 1, Infinity]^2)/64 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/12 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (1619*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    (-S[-1, Infinity]^6/30 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, 2, -1, 1, Infinity] -> -S[-1, Infinity]^8/144 + 
   (667*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (290391*S[2, Infinity]^4)/31360 + ((1257*S[-1, Infinity]^2)/448 - 
     (1591*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((267*S[-1, Infinity]*S[2, Infinity])/7 - (157655*S[3, Infinity])/3584)*
    S[5, Infinity] - (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((559*S[-1, Infinity]^4)/560 + 
     (423*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 + (178*S[-5, -1, Infinity])/7 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (10688*S[-7, -1, Infinity] + 12393*S[5, 3, Infinity] + 
     45568*S[-5, -1, -1, -1, Infinity] - 45568*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-32*S[-1, Infinity]^5)/105 + 
     (167*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (21461*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (234*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -2, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/36 - (601*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (106901*S[2, Infinity]^4)/7000 + ((-1119*S[-1, Infinity]^2)/56 - 
     (885*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((7365*S[-1, Infinity]*S[2, Infinity])/224 - (3421*S[3, Infinity])/64)*
    S[5, Infinity] + (97527*S[-1, Infinity]*S[7, Infinity])/896 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (93*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/30 - 
     (32*S[-1, 1, 1, 1, Infinity])/5) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (640*S[-7, -1, Infinity] + 969*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 1920*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/24 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (16129*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     50*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/10 + 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     6*(-7*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])), 
 S[2, -2, 1, 2, 1, Infinity] -> -S[-1, Infinity]^8/288 + 
   (229*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1026131*S[2, Infinity]^4)/392000 + 
   ((321*S[-1, Infinity]^2)/112 + (15469*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-10061*S[-1, Infinity]*S[2, Infinity])/896 - 
     (10347*S[3, Infinity])/3584)*S[5, Infinity] - 
   (72813*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-143*S[-1, Infinity]^4)/1680 - 
     (67*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (907*S[-5, -1, Infinity])/56 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-8480*S[-7, -1, Infinity] - 21299*S[5, 3, Infinity] - 
     23680*S[-5, -1, -1, -1, Infinity] + 23680*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/1680 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3021*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (113*S[-1, 1, 1, 1, 1, Infinity])/14), S[2, -2, 1, 2, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/288 - (725*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (1110639*S[2, Infinity]^4)/784000 + 
   ((-1171*S[-1, Infinity]^2)/224 - (3239*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((8769*S[-1, Infinity]*S[2, Infinity])/896 - 
     (7251*S[3, Infinity])/3584)*S[5, Infinity] - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((1439*S[-1, Infinity]^4)/2240 - 
     (3477*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (37120*S[-7, -1, Infinity] + 49899*S[5, 3, Infinity] + 
     47360*S[-5, -1, -1, -1, Infinity] - 47360*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((247*S[-1, Infinity]^5)/420 - 
     (75*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (13159*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (183*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/120 + (74*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, 1, 1, 2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (42607*S[2, Infinity]^4)/
    16800 + ((-211*S[-1, Infinity]^2)/32 - (1731*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((427*S[-1, Infinity]*S[2, Infinity])/64 - 
     (3719*S[3, Infinity])/512)*S[5, Infinity] + 
   (22321*S[-1, Infinity]*S[7, Infinity])/512 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 6*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/6 - 2*S[-1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (448*S[-7, -1, Infinity] + 2141*S[5, 3, Infinity] + 
     3072*S[-5, -1, -1, -1, Infinity] - 3072*S[-5, -1, 1, 1, Infinity] - 
     3072*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/240 - 
     (8*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (461*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     16*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/72 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (61*S[-5, -1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[2, -2, 1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/96 + S[-1, Infinity]^2*S[2, Infinity]^3 + 
   (230339*S[2, Infinity]^4)/336000 + 
   ((7*S[-1, Infinity]^2)/4 + (37*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/16 + (219*S[3, Infinity])/128)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/24 + 4*S[-1, 1, 1, 1, Infinity]) + 
   (-23*S[5, 3, Infinity] + 480*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/240 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/2 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 + S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     4*S[-1, 1, 1, 1, 1, 1, Infinity]), S[2, -2, 1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/288 - (177*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4528297*S[2, Infinity]^4)/2352000 + 
   ((-1283*S[-1, Infinity]^2)/448 - (3407*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((3*S[-1, Infinity]*S[2, Infinity])/7 + 
     (30263*S[3, Infinity])/1792)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-319*S[-1, Infinity]^4)/3360 - 
     (381*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-32960*S[-7, -1, Infinity] + 25219*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/840 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (7607*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-97*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, -2, 1, -1, -2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (933*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (555113*S[2, Infinity]^4)/67200 + 
   ((501*S[-1, Infinity]^2)/224 + (385*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 - (11217*S[-1, Infinity]*S[2, Infinity])/896 - 
     (1025*S[3, Infinity])/128)*S[5, Infinity] - 
   (43439*S[-1, Infinity]*S[7, Infinity])/896 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((39*S[-1, Infinity]^4)/160 - 
     (37*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-12928*S[-7, -1, Infinity] - 3249*S[5, 3, Infinity] - 
     3072*S[-5, -1, -1, -1, Infinity] - 1024*S[-1, 1, 1, 1, Infinity]^2)/
    256 + S[3, Infinity]*((13*S[-1, Infinity]^5)/120 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (181*S[-1, Infinity]*S[2, Infinity]^2)/56 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (189*S[-5, -1, Infinity] - 
       320*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[2, -2, 1, -2, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (4587*S[2, Infinity]^4)/
    16000 + ((35*S[-1, Infinity]^2)/32 - (65*S[2, Infinity])/128)*
    S[3, Infinity]^2 + (657*S[3, Infinity]*S[5, Infinity])/128 + 
   S[2, Infinity]^2*((27*S[-1, Infinity]^4)/80 + (9*S[-1, 1, 1, 1, Infinity])/
      10) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/8 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + 
   (-7*S[5, 3, Infinity] + 3840*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/240 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[2, -2, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/72 + (65*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (60019*S[2, Infinity]^4)/24500 + ((27*S[-1, Infinity]^2)/32 + 
     (3813*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-1247*S[-1, Infinity]*S[2, Infinity])/128 + (30253*S[3, Infinity])/1792)*
    S[5, Infinity] + (2433*S[-1, Infinity]*S[7, Infinity])/896 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/105 + 
     (164*S[-1, 1, 1, 1, Infinity])/35) + 
   (-5920*S[-7, -1, Infinity] - 2099*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-317*S[-1, Infinity]^5)/1680 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (219*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - (64*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, -1, 2, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (137*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (52673*S[2, Infinity]^4)/16000 + ((13*S[-1, Infinity]^2)/32 + 
     (109*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   (-18*S[-1, Infinity]*S[2, Infinity] + (1189*S[3, Infinity])/256)*
    S[5, Infinity] + 3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/960 - 
     (161*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 12*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1440*S[-7, -1, Infinity] - 6729*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/80 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (1049*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, -2, -1, 2, -1, Infinity] -> 
  (-5021*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (153697*S[2, Infinity]^4)/14000 + 
   ((143*S[-1, Infinity]^2)/28 + (463*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (21725*S[-1, Infinity]*S[2, Infinity])/896 - 
     (3625*S[3, Infinity])/256)*S[5, Infinity] - 
   (51477*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 65*S[5, -1, -1, Infinity]))/
    7 + (-12800*S[-7, -1, Infinity] - 4073*S[5, 3, Infinity] - 
     4480*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity])/160 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (4*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/120 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (5337*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     11*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/20 + 49*S[-5, -1, Infinity] + 
     18*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     72*S[-1, 1, 1, 1, 1, 1, Infinity]), S[2, -2, -1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/288 - (499*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (3489559*S[2, Infinity]^4)/2352000 + 
   ((359*S[-1, Infinity]^2)/448 + (1959*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-87*S[-1, Infinity]*S[2, Infinity])/7 - 
     (44531*S[3, Infinity])/3584)*S[5, Infinity] + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((799*S[-1, Infinity]^4)/6720 - 
     (2199*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (186880*S[-7, -1, Infinity] - 75379*S[5, 3, Infinity] - 
     74240*S[-5, -1, -1, -1, Infinity] + 74240*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/560 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (1307*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-253*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, -2, -1, 1, -2, Infinity] -> S[-1, Infinity]^8/48 + 
   (279*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + (14244401*S[2, Infinity]^4)/
    2352000 + ((2327*S[-1, Infinity]^2)/224 - (745*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (22865*S[-1, Infinity]*S[2, Infinity])/896 + (22443*S[3, Infinity])/896)*
    S[5, Infinity] - (103749*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(61*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity]))/
    7 - S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((227*S[-1, Infinity]^4)/3360 + 
     (1593*S[-1, 1, 1, 1, Infinity])/140) + 
   (444160*S[-7, -1, Infinity] + 88163*S[5, 3, Infinity] + 
     46080*S[-5, -1, -1, -1, Infinity] + 61440*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-817*S[-1, Infinity]^5)/840 + 
     (365*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (8371*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (82*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-73*S[-1, Infinity]^6)/360 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-2049*S[-5, -1, Infinity] + 
       2128*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -2, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/72 + 
   (3197*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (20088073*S[2, Infinity]^4)/1176000 + 
   ((-165*S[-1, Infinity]^2)/14 - (1949*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (12011*S[-1, Infinity]*S[2, Infinity])/896 - (4283*S[3, Infinity])/896)*
    S[5, Infinity] + (3949*S[-1, Infinity]*S[7, Infinity])/32 - 
   (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-1339*S[-1, Infinity]^4)/1680 - 
     (341*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (477440*S[-7, -1, Infinity] + 110599*S[5, 3, Infinity] + 
     112640*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((281*S[-1, Infinity]^5)/420 - 
     (683*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (117*S[-1, Infinity]*S[2, Infinity]^2)/56 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (72*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((49*S[-1, Infinity]^6)/180 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 26*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (80*(4*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[2, -2, -1, -1, -2, Infinity] -> (-313*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (5602393*S[2, Infinity]^4)/2352000 + 
   ((29*S[-1, Infinity]^2)/14 - (151*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-251*S[-1, Infinity]*S[2, Infinity])/448 + (12421*S[3, Infinity])/1792)*
    S[5, Infinity] + (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (62400*S[-7, -1, Infinity] - 36483*S[5, 3, Infinity] - 
     40960*S[-5, -1, -1, -1, Infinity] + 40960*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((41*S[-1, Infinity]^4)/560 - 
     (123*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-31*S[-1, Infinity]^5)/336 + (19*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (3167*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (155*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (31*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[2, -2, -1, -2, 1, Infinity] -> S[-1, Infinity]^8/36 + 
   (983*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (722833*S[2, Infinity]^4)/196000 + 
   ((5*S[-1, Infinity]^2)/2 - (12413*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (7691*S[-1, Infinity]*S[2, Infinity])/128 - 
     (43479*S[3, Infinity])/3584)*S[5, Infinity] - 
   (26127*S[-1, Infinity]*S[7, Infinity])/896 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 51*S[5, -1, -1, Infinity]))/
    7 - (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/35 + (654*S[-1, 1, 1, 1, Infinity])/
      35) + (-24240*S[-7, -1, Infinity] - 2187*S[5, 3, Infinity] + 
     800*S[-5, -1, -1, -1, Infinity] - 7520*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((-265*S[-1, Infinity]^5)/336 + 
     (737*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2909*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (145*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/30 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (761*S[-5, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[2, -2, -1, -2, -1, Infinity] -> S[-1, Infinity]^8/48 + 
   (1277*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (1704859*S[2, Infinity]^4)/156800 + 
   ((65*S[-1, Infinity]^2)/112 - (1471*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((86013*S[-1, Infinity]*S[2, Infinity])/896 - 
     (2717*S[3, Infinity])/224)*S[5, Infinity] - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-163*S[-1, Infinity]^4)/560 + 
     (909*S[-1, 1, 1, 1, Infinity])/70) + 
   (189376*S[-7, -1, Infinity] + 52709*S[5, 3, Infinity] + 
     76800*S[-5, -1, -1, -1, Infinity] - 33792*S[-5, -1, 1, 1, Infinity] + 
     43008*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-297*S[-1, Infinity]^5)/560 + 
     (235*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (5633*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (89*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((76*S[-5, -1, Infinity])/7 - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 30*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]), S[2, -2, -2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (61*S[-1, Infinity]^2*S[2, Infinity]^3)/32 - 
   (1817*S[2, Infinity]^4)/1750 + ((-49*S[-1, Infinity]^2)/32 - 
     (49*S[2, Infinity])/32)*S[3, Infinity]^2 - 
   (2251*S[3, Infinity]*S[5, Infinity])/512 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/192 - 
     (61*S[-1, 1, 1, 1, Infinity])/8) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/48 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (427*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-3179*S[5, 3, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/2560, S[2, -2, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/96 + (769*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (199497*S[2, Infinity]^4)/196000 + 
   ((1817*S[-1, Infinity]^2)/448 + (5079*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3457*S[-1, Infinity]*S[2, Infinity])/448 + 
     (17063*S[3, Infinity])/1792)*S[5, Infinity] - 
   (51739*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/56 + 
     (27*S[-1, 1, 1, 1, Infinity])/7) + 
   (-7680*S[-7, -1, Infinity] - 21403*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] + 42240*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-121*S[-1, Infinity]^5)/560 + 
     (353*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (2197*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (59*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-9*S[-1, Infinity]^6)/40 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(151*S[-5, -1, Infinity] - 
        168*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[2, -2, -2, -1, 1, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 - 
   (847101*S[2, Infinity]^4)/98000 + 
   ((481*S[-1, Infinity]^2)/64 + (18167*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-5361*S[-1, Infinity]*S[2, Infinity])/128 + 
     (51325*S[3, Infinity])/1792)*S[5, Infinity] - 
   (30993*S[-1, Infinity]*S[7, Infinity])/896 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (33*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-1600*S[-7, -1, Infinity] - 15283*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] + 34560*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/35 - 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-29*S[-1, Infinity]^5)/140 - (31*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (183*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (174*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - (216*S[-5, -1, Infinity])/7 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, -2, -1, -1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (383*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (3664471*S[2, Infinity]^4)/
    392000 + ((-407*S[-1, Infinity]^2)/112 + (193*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-9783*S[-1, Infinity]*S[2, Infinity])/224 + 
     (26581*S[3, Infinity])/896)*S[5, Infinity] + 
   (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-1579*S[-1, Infinity]^4)/1680 - 
     (941*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (320*S[-7, -1, Infinity] - 5797*S[5, 3, Infinity] - 
     24000*S[-5, -1, -1, -1, Infinity] + 24000*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((25*S[-1, Infinity]^5)/56 - 
     (155*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (3317*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (115*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((4*S[-1, Infinity]^6)/15 - (150*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -3, 1, 1, 1, Infinity] -> (5*S[-1, Infinity]^8)/576 + 
   (841*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1075681*S[2, Infinity]^4)/392000 + 
   ((137*S[-1, Infinity]^2)/28 + (4117*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 + 
     (317*S[-1, Infinity]*S[2, Infinity])/448 + (16731*S[3, Infinity])/1792)*
    S[5, Infinity] - (78339*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] + 76*S[5, -1, -1, Infinity]))/
    14 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/1120 + 
     (513*S[-1, 1, 1, 1, Infinity])/140) + 
   (-127360*S[-7, -1, Infinity] - 40923*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 26240*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-1193*S[-1, Infinity]^5)/3360 + 
     (109*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5067*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (213*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-115*S[-5, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[2, -3, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/576 + 
   (177*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (37519*S[2, Infinity]^4)/392000 + 
   ((-87*S[-1, Infinity]^2)/448 - (2095*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/192 + 
     (967*S[-1, Infinity]*S[2, Infinity])/56 + (16901*S[3, Infinity])/1792)*
    S[5, Infinity] - (101*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/168 - (19*S[-1, 1, 1, 1, Infinity])/
      14) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (339200*S[-7, -1, Infinity] + 60477*S[5, 3, Infinity] + 
     42240*S[-5, -1, -1, -1, Infinity] + 33920*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-247*S[-1, Infinity]^5)/3360 + 
     (22*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (3337*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (247*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - (183*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -3, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/192 - 
   (1271*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (32223*S[2, Infinity]^4)/98000 + ((783*S[-1, Infinity]^2)/896 + 
     (5905*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 - (9437*S[-1, Infinity]*S[2, Infinity])/
      448 - (34537*S[3, Infinity])/3584)*S[5, Infinity] + 
   (87*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (317*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-799*S[-1, Infinity]^4)/3360 + 
     (169*S[-1, 1, 1, 1, Infinity])/140) + 
   (-676160*S[-7, -1, Infinity] - 117433*S[5, 3, Infinity] - 
     111360*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/84 - 
     (611*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1831*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -3, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 - (461*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (502489*S[2, Infinity]^4)/98000 + 
   ((711*S[-1, Infinity]^2)/128 + (6831*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 - 
     (5161*S[-1, Infinity]*S[2, Infinity])/128 - (21599*S[3, Infinity])/3584)*
    S[5, Infinity] - (4409*S[-1, Infinity]*S[7, Infinity])/112 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-1059*S[-1, Infinity]^4)/2240 + 
     (237*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-1363200*S[-7, -1, Infinity] - 307121*S[5, 3, Infinity] - 
     298240*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-211*S[-1, Infinity]^5)/3360 - 
     (395*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1377*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (607*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -3, -1, 1, 1, Infinity] -> (11*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (16257*S[2, Infinity]^4)/39200 + 
   ((-243*S[-1, Infinity]^2)/896 - (3361*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((81*S[-1, Infinity]*S[2, Infinity])/14 + 
     (19227*S[3, Infinity])/3584)*S[5, Infinity] - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (137*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (62144*S[-7, -1, Infinity] + 19683*S[5, 3, Infinity] + 
     6912*S[-5, -1, -1, -1, Infinity] + 5632*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((43*S[-1, Infinity]^4)/1680 - 
     (43*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (S[-1, Infinity]^5/140 + (27*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (5409*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -3, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (3519*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (48189*S[2, Infinity]^4)/784000 + ((-5303*S[-1, Infinity]^2)/896 + 
     (1357*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/64 - (8005*S[-1, Infinity]*S[2, Infinity])/448 - 
     (37181*S[3, Infinity])/3584)*S[5, Infinity] + 
   (13231*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] - 40*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/1120 - 
     (39*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-527680*S[-7, -1, Infinity] - 9537*S[5, 3, Infinity] + 
     60160*S[-5, -1, -1, -1, Infinity] - 140800*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((401*S[-1, Infinity]^5)/1120 - 
     (303*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (10407*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (117*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (355*S[-5, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -3, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (4191*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (23547*S[2, Infinity]^4)/156800 + 
   (S[-1, Infinity]^2/14 - (1149*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/64 + (25447*S[-1, Infinity]*S[2, Infinity])/896 + 
     (21503*S[3, Infinity])/3584)*S[5, Infinity] - 
   (1051*S[-1, Infinity]*S[7, Infinity])/32 - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((1171*S[-1, Infinity]^4)/6720 + 
     (1769*S[-1, 1, 1, 1, Infinity])/280) + 
   (74752*S[-7, -1, Infinity] + 21339*S[5, 3, Infinity] + 
     25856*S[-5, -1, -1, -1, Infinity] + 1024*S[-5, -1, 1, 1, Infinity] + 
     21504*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/56 + 
     (409*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (4057*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/80 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-263*S[-5, -1, Infinity] - 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[2, -3, -1, -1, -1, Infinity] -> (1247*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (4713*S[2, Infinity]^4)/112000 + 
   ((-53*S[-1, Infinity]^2)/16 - (485*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((2637*S[-1, Infinity]*S[2, Infinity])/64 + (15281*S[3, Infinity])/512)*
    S[5, Infinity] - (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   20*S[2, Infinity]*S[-5, -1, Infinity] + 
   (183680*S[-7, -1, Infinity] + 44131*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(S[-1, Infinity]^4/24 - 
     S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*(-S[-1, Infinity]^5/12 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (665*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     10*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 4, 1, 1, 1, Infinity] -> 
  (-81*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (49171*S[2, Infinity]^4)/49000 + ((-135*S[-1, Infinity]^2)/56 + 
     (951*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((341*S[-1, Infinity]^3)/96 + (223*S[-1, Infinity]*S[2, Infinity])/112 - 
     (39967*S[3, Infinity])/3584)*S[5, Infinity] - 
   (23169*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (82*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 + (-388800*S[-7, -1, Infinity] - 77087*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/280 + 
     (27*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/140 - (9*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (7647*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 4, 1, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/576 + (89*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (43*S[2, Infinity]^4)/2000 + ((-1401*S[-1, Infinity]^2)/896 + 
     (193*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((341*S[-1, Infinity]^3)/96 + (423*S[-1, Infinity]*S[2, Infinity])/224 - 
     (559*S[3, Infinity])/128)*S[5, Infinity] - 
   (23169*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (6*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/60 - 
     (3*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (15040*S[-7, -1, Infinity] - 407*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 3200*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/240 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    (-S[-1, Infinity]^6/240 - (31*S[-5, -1, Infinity])/4 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 4, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (1363*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (158439*S[2, Infinity]^4)/56000 + ((-1325*S[-1, Infinity]^2)/896 + 
     (1271*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((589*S[-1, Infinity]^3)/192 - (5259*S[-1, Infinity]*S[2, Infinity])/448 - 
     (275*S[3, Infinity])/8)*S[5, Infinity] - 
   (15819*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (125*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    7 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((197*S[-1, Infinity]^4)/480 + 
     (53*S[-1, 1, 1, 1, Infinity])/20) + 
   (-99840*S[-7, -1, Infinity] - 15123*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((77*S[-1, Infinity]^5)/480 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (10513*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + (71*S[-5, -1, Infinity])/2 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 4, 1, -1, -1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (939*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (7621*S[2, Infinity]^4)/24500 + ((-1447*S[-1, Infinity]^2)/896 + 
     (13193*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((589*S[-1, Infinity]^3)/192 - (33715*S[-1, Infinity]*S[2, Infinity])/
      896 - (152289*S[3, Infinity])/3584)*S[5, Infinity] - 
   (15819*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (253*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((5461*S[-1, Infinity]^4)/6720 - 
     (141*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-1909760*S[-7, -1, Infinity] - 345229*S[5, 3, Infinity] - 
     226560*S[-5, -1, -1, -1, Infinity] - 248320*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((139*S[-1, Infinity]^5)/420 - 
     (685*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (8035*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (208*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + (1147*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 4, -1, 1, 1, Infinity] -> (347*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (64489*S[2, Infinity]^4)/392000 + 
   ((57*S[-1, Infinity]^2)/112 - (7045*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/192 + 
     (12097*S[-1, Infinity]*S[2, Infinity])/448 + (57639*S[3, Infinity])/
      1792)*S[5, Infinity] + (47749*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (227*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity]))/
    7 + (849280*S[-7, -1, Infinity] + 178513*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] + 84480*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/672 - 
     (57*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-99*S[-1, Infinity]^5)/1120 + (26*S[-1, Infinity]^3*S[2, Infinity])/
      21 + (3807*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (437*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - (843*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 4, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/144 + 
   (661*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (455209*S[2, Infinity]^4)/784000 + 
   ((-53*S[-1, Infinity]^2)/64 - (8947*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1457*S[-1, Infinity]^3)/192 + 
     (2811*S[-1, Infinity]*S[2, Infinity])/64 + (38219*S[3, Infinity])/896)*
    S[5, Infinity] + (47749*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 38*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-1123*S[-1, Infinity]^4)/3360 + 
     (3*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (241760*S[-7, -1, Infinity] + 51209*S[5, 3, Infinity] + 
     44480*S[-5, -1, -1, -1, Infinity] + 20480*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-589*S[-1, Infinity]^5)/3360 + 
     (69*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (2597*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (156*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - (459*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 4, -1, -1, 1, Infinity] -> (10827*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (436073*S[2, Infinity]^4)/196000 + 
   ((-1637*S[-1, Infinity]^2)/896 - (29035*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (74153*S[-1, Infinity]*S[2, Infinity])/896 + (25447*S[3, Infinity])/448)*
    S[5, Infinity] + (51277*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (563*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (50620*S[-7, -1, Infinity] + 10379*S[5, 3, Infinity] + 
     9120*S[-5, -1, -1, -1, Infinity] + 4320*S[-5, -1, 1, 1, Infinity])/280 + 
   S[2, Infinity]^2*((-523*S[-1, Infinity]^4)/1344 - 
     (93*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-1123*S[-1, Infinity]^5)/3360 + (1375*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (6085*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (202*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - (1501*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 4, -1, -1, -1, Infinity] -> (4647*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (14369*S[2, Infinity]^4)/39200 + 
   ((-279*S[-1, Infinity]^2)/448 - (12773*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (1891*S[-1, Infinity]*S[2, Infinity])/28 + (106425*S[3, Infinity])/1792)*
    S[5, Infinity] + (51277*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (227*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (741*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (300416*S[-7, -1, Infinity] + 61161*S[5, 3, Infinity] + 
     48896*S[-5, -1, -1, -1, Infinity] + 28160*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/84 - 
     (22*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/42 + (755*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (28013*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (220*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, 2, 1, 1, Infinity] -> 
  (697*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (1989923*S[2, Infinity]^4)/
    784000 + ((2097*S[-1, Infinity]^2)/448 - (2301*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (153*S[-1, Infinity]*S[2, Infinity])/56 + (42949*S[3, Infinity])/1792)*
    S[5, Infinity] + (27145*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (335*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(66*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    14 + (108120*S[-7, -1, Infinity] + 22637*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((9*S[-1, Infinity]^4)/140 - 
     (54*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/70 + (9*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1661*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (111*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (57311*S[2, Infinity]^4)/39200 + ((2901*S[-1, Infinity]^2)/896 - 
     (1803*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (2937*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1083*S[3, Infinity])/896)*S[5, Infinity] + 
   (27145*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(66*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    14 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((317*S[-1, Infinity]^4)/6720 + 
     (663*S[-1, 1, 1, 1, Infinity])/280) + 
   (-125952*S[-7, -1, Infinity] - 2489*S[5, 3, Infinity] + 
     6144*S[-5, -1, -1, -1, Infinity] - 27648*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((25*S[-1, Infinity]^5)/336 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (493*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (125*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 + (635*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, 2, -1, 1, Infinity] -> S[-1, Infinity]^8/288 - 
   (361*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (142747*S[2, Infinity]^4)/392000 + 
   ((1291*S[-1, Infinity]^2)/896 - (1685*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 + 
     (19*S[-1, Infinity]*S[2, Infinity])/224 + (7071*S[3, Infinity])/896)*
    S[5, Infinity] - (707*S[-1, Infinity]*S[7, Infinity])/128 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/70 + 
     (29*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (3510*S[-7, -1, Infinity] + 131*S[5, 3, Infinity] - 
     120*S[-5, -1, -1, -1, Infinity] + 820*S[-5, -1, 1, 1, Infinity] + 
     280*S[-1, 1, 1, 1, Infinity]^2)/140 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/210 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (9713*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (73*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 - (363*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, 2, -1, -1, Infinity] -> S[-1, Infinity]^8/72 + 
   (211*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (5359*S[2, Infinity]^4)/28000 + ((11*S[-1, Infinity]^2)/8 - 
     (81*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/96 + (2449*S[-1, Infinity]*S[2, Infinity])/64 + 
     (4811*S[3, Infinity])/128)*S[5, Infinity] - 
   (707*S[-1, Infinity]*S[7, Infinity])/128 - 6*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    3 + S[2, Infinity]^2*((-4*S[-1, Infinity]^4)/5 + 
     (16*S[-1, 1, 1, 1, Infinity])/5) + 
   (54720*S[-7, -1, Infinity] + 9257*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] + 
     5120*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/240 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1361*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     32*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/20 - 34*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, 1, 2, 1, Infinity] -> (163*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (35737*S[2, Infinity]^4)/15680 + 
   ((-13*S[-1, Infinity]^2)/64 + (25*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 + (371*S[-1, Infinity]*S[2, Infinity])/32 - 
     (36329*S[3, Infinity])/3584)*S[5, Infinity] - 
   (8639*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (17*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity]))/
    14 - (3*(-4336*S[-7, -1, Infinity] + 79*S[5, 3, Infinity] - 
      832*S[-5, -1, -1, -1, Infinity] - 64*S[-5, -1, 1, 1, Infinity]))/896 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/560 - (3*S[-1, 1, 1, 1, Infinity])/
      70) + S[3, Infinity]*((-47*S[-1, Infinity]^5)/3360 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (607*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (47*S[-1, 1, 1, 1, 1, Infinity])/28), S[-1, 3, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/192 - (331*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (24539*S[2, Infinity]^4)/392000 + 
   ((145*S[-1, Infinity]^2)/112 - (25*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 + (4259*S[-1, Infinity]*S[2, Infinity])/896 + 
     (3447*S[3, Infinity])/3584)*S[5, Infinity] - 
   (8639*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((1069*S[-1, Infinity]^4)/2240 - 
     (267*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (101760*S[-7, -1, Infinity] - 8179*S[5, 3, Infinity] - 
     11520*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-71*S[-1, Infinity]^5)/3360 + 
     (32*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (211*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/80 - (2*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, 1, 1, 2, Infinity] -> (9*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (2174623*S[2, Infinity]^4)/1176000 + 
   ((119*S[-1, Infinity]^2)/64 - (9*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-479*S[-1, Infinity]*S[2, Infinity])/128 + (15515*S[3, Infinity])/1792)*
    S[5, Infinity] - (633*S[-1, Infinity]*S[7, Infinity])/224 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   (17760*S[-7, -1, Infinity] + 14977*S[5, 3, Infinity] - 
     11520*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/210 - 
     (9*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-4*S[-1, Infinity]^5)/105 + (59*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (331*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-137*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 3, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/576 + 
   (157*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (11219*S[2, Infinity]^4)/147000 + 
   ((73*S[-1, Infinity]^2)/112 + (75*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-1943*S[-1, Infinity]*S[2, Infinity])/448 + (3079*S[3, Infinity])/896)*
    S[5, Infinity] - (633*S[-1, Infinity]*S[7, Infinity])/224 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((-193*S[-1, Infinity]^4)/1344 - 
     (3*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-41600*S[-7, -1, Infinity] - 14059*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/3360 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (73*S[-1, Infinity]*S[2, Infinity]^2)/280 + S[-1, 1, 1, 1, 1, Infinity]/
      28) + S[2, Infinity]*((23*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-99*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 3, 1, -1, 2, Infinity] -> -S[-1, Infinity]^8/576 + 
   (1143*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (3726677*S[2, Infinity]^4)/588000 + 
   ((337*S[-1, Infinity]^2)/112 - (15709*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/32 + 
     (4033*S[-1, Infinity]*S[2, Infinity])/448 + (52825*S[3, Infinity])/896)*
    S[5, Infinity] + (21499*S[-1, Infinity]*S[7, Infinity])/896 - 
   (185*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 34*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-419*S[-1, Infinity]^4)/1680 - 
     (193*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (2028800*S[-7, -1, Infinity] + 342617*S[5, 3, Infinity] + 
     160000*S[-5, -1, -1, -1, Infinity] + 377600*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-209*S[-1, Infinity]^5)/1120 + 
     (641*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (3149*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (907*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(-179*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, 3, 1, -1, -2, Infinity] -> (5191*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (294263*S[2, Infinity]^4)/470400 + 
   ((297*S[-1, Infinity]^2)/224 - (29259*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/32 + 
     (264*S[-1, Infinity]*S[2, Infinity])/7 + (120345*S[3, Infinity])/3584)*
    S[5, Infinity] + (21499*S[-1, Infinity]*S[7, Infinity])/896 - 
   (179*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 34*S[5, -1, -1, Infinity]))/
    7 + (429248*S[-7, -1, Infinity] + 76969*S[5, 3, Infinity] + 
     61952*S[-5, -1, -1, -1, Infinity] + 45568*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/420 - 
     (131*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-47*S[-1, Infinity]^5)/420 + (179*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (36143*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (164*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-297*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 3, 1, -2, 1, Infinity] -> (-72769*S[2, Infinity]^4)/56000 + 
   ((41*S[-1, Infinity]^2)/32 + (9*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 - (277*S[-1, Infinity]*S[2, Infinity])/32 + 
     (631*S[3, Infinity])/128)*S[5, Infinity] + 
   (409*S[-1, Infinity]*S[7, Infinity])/128 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   7*S[2, Infinity]*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   (1600*S[-7, -1, Infinity] - 781*S[5, 3, Infinity] - 
     1600*S[-5, -1, -1, -1, Infinity] + 2240*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/240 - (7*S[-1, 1, 1, 1, Infinity])/
      10) + S[3, Infinity]*(-S[-1, Infinity]^5/40 + 
     (S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (107*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 3, 1, -2, -1, Infinity] -> 
  (339*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (2027863*S[2, Infinity]^4)/
    784000 + ((633*S[-1, Infinity]^2)/448 - (201*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 - 
     (505*S[-1, Infinity]*S[2, Infinity])/56 + (60257*S[3, Infinity])/3584)*
    S[5, Infinity] + (409*S[-1, Infinity]*S[7, Infinity])/128 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   (251200*S[-7, -1, Infinity] + 31891*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] + 102400*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/84 - 
     (8*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-51*S[-1, Infinity]^5)/560 - (45*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (421*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (153*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - (94*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, -1, 2, 1, Infinity] -> (-5*S[-1, Infinity]^8)/576 - 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (36121*S[2, Infinity]^4)/28000 + ((-747*S[-1, Infinity]^2)/224 + 
     (219*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/48 - (2519*S[-1, Infinity]*S[2, Infinity])/448 - 
     (93*S[3, Infinity])/8)*S[5, Infinity] - 
   (19821*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-22*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/320 + 
     (9*S[-1, 1, 1, 1, Infinity])/40) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/48 + 20*S[-5, -1, Infinity] - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-126720*S[-7, -1, Infinity] - 26763*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] - 17920*S[-5, -1, 1, 1, Infinity] - 
     12800*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/240 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (5751*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 3, -1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/72 - (323*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (82211*S[2, Infinity]^4)/98000 + 
   (-S[-1, Infinity]^2/14 + (193*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/48 - (30801*S[-1, Infinity]*S[2, Infinity])/448 - 
     (3995*S[3, Infinity])/56)*S[5, Infinity] - 
   (19821*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (118*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-22*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((101*S[-1, Infinity]^4)/105 - 
     (108*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-326400*S[-7, -1, Infinity] - 71563*S[5, 3, Infinity] - 
     61440*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((737*S[-1, Infinity]^5)/1680 - 
     (667*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (32413*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (281*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/15 + (316*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, -1, 1, 2, Infinity] -> S[-1, Infinity]^8/144 - 
   (3347*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (38309*S[2, Infinity]^4)/18816 + ((-723*S[-1, Infinity]^2)/448 + 
     (18073*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/32 - (8481*S[-1, Infinity]*S[2, Infinity])/448 - 
     (164019*S[3, Infinity])/3584)*S[5, Infinity] - 
   (22513*S[-1, Infinity]*S[7, Infinity])/448 + 
   (66*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-22*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((3371*S[-1, Infinity]^4)/6720 + 
     (1109*S[-1, 1, 1, 1, Infinity])/280) + 
   (-123008*S[-7, -1, Infinity] - 23599*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] - 15616*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/840 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (35171*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/120 + (733*S[-5, -1, Infinity])/
      14 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, -1, 1, -2, Infinity] -> (-6793*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1448593*S[2, Infinity]^4)/1176000 + 
   ((-23*S[-1, Infinity]^2)/448 + (50853*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/32 - 
     (12511*S[-1, Infinity]*S[2, Infinity])/224 - (47177*S[3, Infinity])/896)*
    S[5, Infinity] - (22513*S[-1, Infinity]*S[7, Infinity])/448 + 
   (237*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-22*S[-5, 1, 1, Infinity] + 69*S[5, -1, -1, Infinity]))/
    7 + (-718080*S[-7, -1, Infinity] - 143489*S[5, 3, Infinity] - 
     123520*S[-5, -1, -1, -1, Infinity] - 64640*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/420 + 
     (143*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/48 + (1361*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/70 - 
     (40*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (4719*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (202*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, -1, -1, 2, Infinity] -> 
  (-801*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (966379*S[2, Infinity]^4)/
    588000 + ((-32*S[-1, Infinity]^2)/7 + (2533*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/16 - 
     (38277*S[-1, Infinity]*S[2, Infinity])/448 - (23893*S[3, Infinity])/224)*
    S[5, Infinity] - (55549*S[-1, Infinity]*S[7, Infinity])/896 + 
   (202*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity]))/
    7 + (-153200*S[-7, -1, Infinity] - 29707*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity])/
    560 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/210 + 
     (216*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((101*S[-1, Infinity]^5)/210 - (101*S[-1, Infinity]^3*S[2, Infinity])/
      21 - (5477*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (404*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + (1333*S[-5, -1, Infinity])/14 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, -1, -1, -2, Infinity] -> (-49*S[-1, Infinity]^2*S[2, Infinity]^3)/
    8 + (346151*S[2, Infinity]^4)/73500 + 
   ((-2167*S[-1, Infinity]^2)/448 + (16281*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/16 - 
     (9349*S[-1, Infinity]*S[2, Infinity])/224 - (158727*S[3, Infinity])/
      1792)*S[5, Infinity] - (55549*S[-1, Infinity]*S[7, Infinity])/896 + 
   (271*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity]))/
    7 + (-561280*S[-7, -1, Infinity] - 106081*S[5, 3, Infinity] - 
     72000*S[-5, -1, -1, -1, Infinity] - 75840*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((201*S[-1, Infinity]^4)/280 + 
     (237*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((45*S[-1, Infinity]^5)/112 - (225*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (33729*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (675*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 + (705*S[-5, -1, Infinity])/7 + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, -1, -2, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (199*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (528901*S[2, Infinity]^4)/
    784000 + ((-1079*S[-1, Infinity]^2)/448 + (2285*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 - 
     (41157*S[-1, Infinity]*S[2, Infinity])/896 - (78663*S[3, Infinity])/
      1792)*S[5, Infinity] - (45733*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (419*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/280 + 
     (96*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (S[-1, Infinity]^6/24 + (297*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1150400*S[-7, -1, Infinity] - 212299*S[5, 3, Infinity] - 
     177280*S[-5, -1, -1, -1, Infinity] - 118400*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((95*S[-1, Infinity]^5)/336 - 
     (149*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (5353*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (405*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, 3, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/48 - (1657*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (151383*S[2, Infinity]^4)/56000 + ((-1993*S[-1, Infinity]^2)/448 + 
     (465*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/16 - (7369*S[-1, Infinity]*S[2, Infinity])/224 - 
     (6327*S[3, Infinity])/256)*S[5, Infinity] - 
   (45733*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (127*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/48 - 
     (9*S[-1, 1, 1, 1, Infinity])/2) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (-7360*S[-7, -1, Infinity] - 
     2141*S[5, 3, Infinity] - 2880*S[-5, -1, -1, -1, Infinity] + 
     960*S[-5, -1, 1, 1, Infinity] - 3840*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/48 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (5321*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/60 - 3*S[-5, -1, Infinity] - 
     22*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, -2, 1, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (243*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (171761*S[2, Infinity]^4)/392000 + 
   ((643*S[-1, Infinity]^2)/448 - (669*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 - 
     (107*S[-1, Infinity]*S[2, Infinity])/56 + (3225*S[3, Infinity])/448)*
    S[5, Infinity] + (4265*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((223*S[-1, Infinity]^4)/2240 - 
     (249*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (43*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (51200*S[-7, -1, Infinity] - 10583*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/840 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3463*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, -2, 1, -1, Infinity] -> 
  (801*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - (337709*S[2, Infinity]^4)/
    392000 + ((1159*S[-1, Infinity]^2)/896 - (9209*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (13591*S[-1, Infinity]*S[2, Infinity])/448 + (113063*S[3, Infinity])/
      3584)*S[5, Infinity] + (4265*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (187*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + (1224960*S[-7, -1, Infinity] + 242971*S[5, 3, Infinity] + 
     165120*S[-5, -1, -1, -1, Infinity] + 148480*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((33*S[-1, Infinity]^4)/140 - 
     (58*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-6*S[-1, Infinity]^5)/35 + (381*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (26183*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (144*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 - (709*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, -2, -1, 1, Infinity] -> S[-1, Infinity]^8/288 + 
   (363*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (904549*S[2, Infinity]^4)/196000 + 
   ((7479*S[-1, Infinity]^2)/896 + (369*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 - 
     (18061*S[-1, Infinity]*S[2, Infinity])/896 + (90499*S[3, Infinity])/
      3584)*S[5, Infinity] + (8255*S[-1, Infinity]*S[7, Infinity])/896 - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (10*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((8*S[-1, Infinity]^4)/105 - 
     (99*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (872320*S[-7, -1, Infinity] + 75107*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] + 244480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/140 + 
     (169*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (7121*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (163*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - (967*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 3, -2, -1, -1, Infinity] -> S[-1, Infinity]^8/48 - 
   (723*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (561081*S[2, Infinity]^4)/156800 + 
   ((3505*S[-1, Infinity]^2)/448 + (3177*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 - 
     (8129*S[-1, Infinity]*S[2, Infinity])/224 + (79089*S[3, Infinity])/3584)*
    S[5, Infinity] + (8255*S[-1, Infinity]*S[7, Infinity])/896 + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (10*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 - S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-341*S[-1, Infinity]^4)/1680 + 
     (201*S[-1, 1, 1, 1, Infinity])/70) + 
   (-114944*S[-7, -1, Infinity] - 37501*S[5, 3, Infinity] - 
     45312*S[-5, -1, -1, -1, Infinity] + 18432*S[-5, -1, 1, 1, Infinity] + 
     43008*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/140 - 
     (199*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (9173*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (163*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/15 - (39*S[-5, -1, Infinity])/14 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 3, 1, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (163*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (43977*S[2, Infinity]^4)/784000 + 
   ((-207*S[-1, Infinity]^2)/56 + (453*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 - 
     (655*S[-1, Infinity]*S[2, Infinity])/224 - (9885*S[3, Infinity])/1792)*
    S[5, Infinity] - (13675*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-71*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/560 + 
     (27*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (215*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-18430*S[-7, -1, Infinity] - 3097*S[5, 3, Infinity] - 
     2000*S[-5, -1, -1, -1, Infinity] - 2480*S[-5, -1, 1, 1, Infinity] - 
     1120*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((123*S[-1, Infinity]^5)/560 - 
     (271*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (6317*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (62*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 3, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (1861*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (534449*S[2, Infinity]^4)/196000 + 
   ((-3515*S[-1, Infinity]^2)/896 - (463*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 + 
     (20165*S[-1, Infinity]*S[2, Infinity])/896 - (22199*S[3, Infinity])/
      3584)*S[5, Infinity] - (13675*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-71*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-611*S[-1, Infinity]^4)/560 + 
     (153*S[-1, 1, 1, 1, Infinity])/70) + 
   (54800*S[-7, -1, Infinity] + 6561*S[5, 3, Infinity] + 
     8800*S[-5, -1, -1, -1, Infinity] + 160*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-221*S[-1, Infinity]^5)/3360 - 
     (563*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (5569*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (151*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/120 - (151*S[-5, -1, Infinity])/
      28 - 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 3, -1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/288 - 
   (3763*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (203997*S[2, Infinity]^4)/392000 + 
   ((-217*S[-1, Infinity]^2)/128 + (2693*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 - 
     (557*S[-1, Infinity]*S[2, Infinity])/32 - (6687*S[3, Infinity])/224)*
    S[5, Infinity] + (25447*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (24*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((83*S[-1, Infinity]^4)/140 - 
     (183*S[-1, 1, 1, 1, Infinity])/35) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-3510*S[-7, -1, Infinity] - 131*S[5, 3, Infinity] + 
     120*S[-5, -1, -1, -1, Infinity] - 820*S[-5, -1, 1, 1, Infinity] - 
     1400*S[-1, 1, 1, 1, Infinity]^2)/140 + 
   S[3, Infinity]*((173*S[-1, Infinity]^5)/840 - 
     (349*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2593*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (311*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + (363*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 3, -1, -1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (813*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (5359*S[2, Infinity]^4)/28000 + ((-177*S[-1, Infinity]^2)/56 + 
     10*S[2, Infinity])*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/96 - (8717*S[-1, Infinity]*S[2, Infinity])/224 - 
     (3903*S[3, Infinity])/128)*S[5, Infinity] + 
   (25447*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (52*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (24*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/15 - 
     (16*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + 34*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-54720*S[-7, -1, Infinity] - 9257*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((51*S[-1, Infinity]^5)/80 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (4033*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, 2, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (51*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (11731*S[2, Infinity]^4)/22400 + ((-93*S[-1, Infinity]^2)/32 + 
     (229*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - 12*S[-1, Infinity]*S[2, Infinity] - 
     (4209*S[3, Infinity])/256)*S[5, Infinity] - 
   (571*S[-1, Infinity]*S[7, Infinity])/32 + 6*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity]) + S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/80 + 
     (9*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 16*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-13024*S[-7, -1, Infinity] - 2509*S[5, 3, Infinity] - 
     2048*S[-5, -1, -1, -1, Infinity] - 1024*S[-5, -1, 1, 1, Infinity] - 
     512*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/20 - 
     (4*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (169*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     13*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, 2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/36 - (87*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (65999*S[2, Infinity]^4)/14000 + ((-31*S[-1, Infinity]^2)/16 + 
     (223*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (567*S[-1, Infinity]*S[2, Infinity])/16 - 
     (1125*S[3, Infinity])/64)*S[5, Infinity] - 
   (571*S[-1, Infinity]*S[7, Infinity])/32 + 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 
     S[5, -1, -1, Infinity]) + S[2, Infinity]^2*((29*S[-1, Infinity]^4)/60 - 
     (58*S[-1, 1, 1, 1, Infinity])/5) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (640*S[-7, -1, Infinity] - 323*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*(S[-1, Infinity]^5/6 - (4*S[-1, Infinity]^3*S[2, Infinity])/
      3 - (319*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/30 - 20*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 2, 1, 2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (23*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (116853*S[2, Infinity]^4)/
    49000 + ((-19*S[-1, Infinity]^2)/4 - (2323*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((125*S[-1, Infinity]*S[2, Infinity])/32 - 
     (18115*S[3, Infinity])/1792)*S[5, Infinity] + 
   (55011*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-109*S[-1, Infinity]^4)/840 + 
     (39*S[-1, 1, 1, 1, Infinity])/35) + 
   (-56800*S[-7, -1, Infinity] + 8147*S[5, 3, Infinity] + 
     40960*S[-5, -1, -1, -1, Infinity] - 40960*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/336 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (161*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (120*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (491*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 2, 2, 1, -2, Infinity] -> S[-1, Infinity]^8/144 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (2106533*S[2, Infinity]^4)/
    784000 + ((-293*S[-1, Infinity]^2)/112 - (311*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((14933*S[-1, Infinity]*S[2, Infinity])/896 - 
     (13151*S[3, Infinity])/896)*S[5, Infinity] + 
   (55011*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/840 + 
     (79*S[-1, 1, 1, 1, Infinity])/35) + 
   (31680*S[-7, -1, Infinity] + 41369*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] - 130560*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/1680 - 
     (S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (957*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(143*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-1, 2, 2, -1, 2, Infinity] -> (7*S[-1, Infinity]^8)/144 + 
   (2749*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (62351*S[2, Infinity]^4)/6125 + ((529*S[-1, Infinity]^2)/224 - 
     (495*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 + (43353*S[-1, Infinity]*S[2, Infinity])/448 + 
     (14135*S[3, Infinity])/448)*S[5, Infinity] + 
   (14859*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (110*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    7 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-193*S[-1, Infinity]^4)/840 + 
     (543*S[-1, 1, 1, 1, Infinity])/35) + 
   (234240*S[-7, -1, Infinity] + 81301*S[5, 3, Infinity] + 
     110080*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-559*S[-1, Infinity]^5)/840 + 
     (419*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (30827*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (209*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/60 + (120*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     32*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 2, -1, -2, Infinity] -> (743*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (981*S[2, Infinity]^4)/875 + 
   ((571*S[-1, Infinity]^2)/112 - (929*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 + (11043*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1263*S[3, Infinity])/32)*S[5, Infinity] + 
   (14859*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (80*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    7 + (6720*S[-7, -1, Infinity] + 1393*S[5, 3, Infinity] + 
     960*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity])/80 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 + (12*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*((-7*S[-1, Infinity]^5)/15 + 
     (10*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (17099*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     16*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/20 - 34*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 2, -2, 1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (54641*S[2, Infinity]^4)/
    7000 + ((-223*S[-1, Infinity]^2)/32 - (335*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 + 
     (1973*S[-1, Infinity]*S[2, Infinity])/64 - (10249*S[3, Infinity])/256)*
    S[5, Infinity] + (771*S[-1, Infinity]*S[7, Infinity])/64 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 2*S[-1, Infinity]*
    (3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/120 - 
     (7*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-4480*S[-7, -1, Infinity] + 1591*S[5, 3, Infinity] + 
     4480*S[-5, -1, -1, -1, Infinity] - 5760*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/240 - 
     (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (61*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 36*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 2, -2, -1, Infinity] -> -(S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (48347*S[2, Infinity]^4)/7000 + ((-69*S[-1, Infinity]^2)/8 - 
     (9*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 + (835*S[-1, Infinity]*S[2, Infinity])/32 - 
     (2995*S[3, Infinity])/64)*S[5, Infinity] + 
   (771*S[-1, Infinity]*S[7, Infinity])/64 + 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 2*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + (-5760*S[-7, -1, Infinity] - 
     347*S[5, 3, Infinity] + 640*S[-5, -1, -1, -1, Infinity] - 
     1920*S[-5, -1, 1, 1, Infinity])/80 + S[2, Infinity]^2*
    ((4*S[-1, Infinity]^4)/5 + (24*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/60 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (941*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     46*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/10 + 56*S[-5, -1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, 3, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (751*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (752723*S[2, Infinity]^4)/784000 + 
   ((883*S[-1, Infinity]^2)/224 - (13*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 + (317*S[-1, Infinity]*S[2, Infinity])/224 + 
     (6087*S[3, Infinity])/448)*S[5, Infinity] - 
   (8639*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/420 + 
     (191*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/16 - (54*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (254400*S[-7, -1, Infinity] + 51481*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 51200*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-179*S[-1, Infinity]^5)/672 + 
     (601*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1177*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 1, 3, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 + (177*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1961107*S[2, Infinity]^4)/784000 + 
   ((345*S[-1, Infinity]^2)/448 - (2015*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 + 
     (9853*S[-1, Infinity]*S[2, Infinity])/448 - (9089*S[3, Infinity])/3584)*
    S[5, Infinity] - (8639*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((83*S[-1, Infinity]^4)/840 - 
     (61*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (113280*S[-7, -1, Infinity] + 61421*S[5, 3, Infinity] + 
     83200*S[-5, -1, -1, -1, Infinity] - 83200*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/3360 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (9439*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (113*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 + (72*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, 2, 2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (1619*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (205787*S[2, Infinity]^4)/196000 + 
   ((-53*S[-1, Infinity]^2)/16 + (157*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-1063*S[-1, Infinity]*S[2, Infinity])/128 + (1459*S[3, Infinity])/896)*
    S[5, Infinity] + (24627*S[-1, Infinity]*S[7, Infinity])/1792 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-1417*S[-1, Infinity]^4)/6720 - 
     (1103*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - (8*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-510*S[-7, -1, Infinity] - 507*S[5, 3, Infinity] - 
     320*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((719*S[-1, Infinity]^5)/1680 - 
     (425*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (149*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 1, 2, -2, Infinity] -> 
  S[-1, Infinity]^8/96 + (699*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1171721*S[2, Infinity]^4)/784000 + 
   ((-95*S[-1, Infinity]^2)/56 + (83*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-793*S[-1, Infinity]*S[2, Infinity])/896 + (4217*S[3, Infinity])/1792)*
    S[5, Infinity] + (24627*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-5507*S[-1, Infinity]^4)/6720 + 
     (1307*S[-1, 1, 1, 1, Infinity])/280) + 
   (-70720*S[-7, -1, Infinity] + 15229*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-71*S[-1, Infinity]^5)/1680 - 
     (185*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1647*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/40 + (38*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, 1, 3, Infinity] -> (129*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (55093*S[2, Infinity]^4)/1176000 + 
   ((59*S[-1, Infinity]^2)/64 + (781*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((107*S[-1, Infinity]*S[2, Infinity])/32 - (643*S[3, Infinity])/448)*
    S[5, Infinity] - (36569*S[-1, Infinity]*S[7, Infinity])/3584 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (5*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   (-7760*S[-7, -1, Infinity] - 5581*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] + 3200*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-359*S[-1, Infinity]^4)/6720 + 
     (359*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-271*S[-1, Infinity]^5)/3360 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 1, 1, -3, Infinity] -> 
  (-29*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (719629*S[2, Infinity]^4)/
    588000 + ((611*S[-1, Infinity]^2)/448 - (61*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-731*S[-1, Infinity]*S[2, Infinity])/448 + 
     (6311*S[3, Infinity])/3584)*S[5, Infinity] - 
   (36569*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   (43840*S[-7, -1, Infinity] + 21689*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((1963*S[-1, Infinity]^4)/3360 - 
     (283*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/56 + 
     (205*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (879*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 - (45*S[-5, -1, Infinity])/14 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, -1, 3, Infinity] -> -S[-1, Infinity]^8/192 - 
   (139*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (1090571*S[2, Infinity]^4)/
    2352000 + ((-173*S[-1, Infinity]^2)/896 + (25281*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/32 - 
     (27067*S[-1, Infinity]*S[2, Infinity])/448 - (86103*S[3, Infinity])/
      1792)*S[5, Infinity] - (73379*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (351*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-24*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((31*S[-1, Infinity]^4)/112 - 
     (8*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-2129920*S[-7, -1, Infinity] - 486389*S[5, 3, Infinity] - 
     433920*S[-5, -1, -1, -1, Infinity] - 103680*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((653*S[-1, Infinity]^5)/3360 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (11743*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (172*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (109*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, 1, -1, -3, Infinity] -> -S[-1, Infinity]^8/576 - 
   (6467*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (3052769*S[2, Infinity]^4)/1176000 + 
   ((-183*S[-1, Infinity]^2)/448 + (17387*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/32 - 
     (34367*S[-1, Infinity]*S[2, Infinity])/896 - (66613*S[3, Infinity])/
      1792)*S[5, Infinity] - (73379*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (96*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-24*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    7 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-331*S[-1, Infinity]^4)/1344 + 
     (135*S[-1, 1, 1, 1, Infinity])/56) + 
   (-1013920*S[-7, -1, Infinity] - 216649*S[5, 3, Infinity] - 
     184320*S[-5, -1, -1, -1, Infinity] - 84480*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/224 - 
     (167*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3287*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (125*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (265*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, 1, -2, 2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (141*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (219479*S[2, Infinity]^4)/49000 + 
   ((185*S[-1, Infinity]^2)/56 + (325*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-1341*S[-1, Infinity]*S[2, Infinity])/224 + (20327*S[3, Infinity])/3584)*
    S[5, Infinity] - (31027*S[-1, Infinity]*S[7, Infinity])/896 - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((407*S[-1, Infinity]^4)/420 - 
     (289*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (5280*S[-7, -1, Infinity] - 2589*S[5, 3, Infinity] - 
     11840*S[-5, -1, -1, -1, Infinity] + 11840*S[-5, -1, 1, 1, Infinity] - 
     13440*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/1680 + 
     (221*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (8133*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, 1, 1, 1, 1, Infinity]/14) + S[2, Infinity]*
    ((-3*S[-1, Infinity]^6)/40 - (317*S[-5, -1, Infinity])/28 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, -2, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (2693*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1408327*S[2, Infinity]^4)/784000 + 
   ((29*S[-1, Infinity]^2)/4 + (4331*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((285*S[-1, Infinity]*S[2, Infinity])/128 + (3401*S[3, Infinity])/224)*
    S[5, Infinity] - (31027*S[-1, Infinity]*S[7, Infinity])/896 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((991*S[-1, Infinity]^4)/6720 + 
     (1529*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/8 - (491*S[-5, -1, Infinity])/56 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (2720*S[-7, -1, Infinity] - 2147*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-863*S[-1, Infinity]^5)/1680 + 
     (569*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1309*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (64*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 1, -3, 1, Infinity] -> 
  (5*S[-1, Infinity]^8)/288 + (253*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (92669*S[2, Infinity]^4)/392000 + 
   ((123*S[-1, Infinity]^2)/112 + (219*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 - 
     (971*S[-1, Infinity]*S[2, Infinity])/224 + (17803*S[3, Infinity])/1792)*
    S[5, Infinity] + (5127*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity]))/7 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/56 + 
     (24*S[-1, 1, 1, 1, Infinity])/7) + 
   (640*S[-7, -1, Infinity] - 11307*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] + 
     89600*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-233*S[-1, Infinity]^5)/1120 - 
     (281*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (421*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (227*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 - (40*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, 1, -3, -1, Infinity] -> (5*S[-1, Infinity]^8)/576 + 
   (59*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - (1837163*S[2, Infinity]^4)/
    392000 + ((5*S[-1, Infinity]^2)/8 + (149*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 - 
     (3035*S[-1, Infinity]*S[2, Infinity])/128 + (22451*S[3, Infinity])/896)*
    S[5, Infinity] + (5127*S[-1, Infinity]*S[7, Infinity])/1792 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-3061*S[-1, Infinity]^4)/6720 + 
     (121*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - (150*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (76320*S[-7, -1, Infinity] - 11449*S[5, 3, Infinity] - 
     51200*S[-5, -1, -1, -1, Infinity] + 87040*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/560 - 
     (79*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (113*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (136*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, -1, 3, 1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (769*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (40793*S[2, Infinity]^4)/784000 + ((-573*S[-1, Infinity]^2)/448 - 
     (1117*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/48 - (493*S[-1, Infinity]*S[2, Infinity])/896 - 
     (79347*S[3, Infinity])/3584)*S[5, Infinity] + 
   (5545*S[-1, Infinity]*S[7, Infinity])/256 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/140 - 
     (123*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (28240*S[-7, -1, Infinity] + 6301*S[5, 3, Infinity] + 
     4400*S[-5, -1, -1, -1, Infinity] + 3440*S[-5, -1, 1, 1, Infinity] - 
     6720*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((309*S[-1, Infinity]^5)/1120 - 
     (173*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (13869*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (577*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/10 - (71*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -1, 3, -1, Infinity] -> -S[-1, Infinity]^8/72 + 
   (627*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (838779*S[2, Infinity]^4)/196000 + 
   ((-311*S[-1, Infinity]^2)/56 - (1339*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/48 + 
     (9745*S[-1, Infinity]*S[2, Infinity])/448 + (7271*S[3, Infinity])/112)*
    S[5, Infinity] + (5545*S[-1, Infinity]*S[7, Infinity])/256 - 
   (62*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-997*S[-1, Infinity]^4)/1680 - 
     (683*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (646720*S[-7, -1, Infinity] + 130503*S[5, 3, Infinity] + 
     97280*S[-5, -1, -1, -1, Infinity] + 81920*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((209*S[-1, Infinity]^5)/1680 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1251*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (228*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/60 - (396*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -1, 2, 2, Infinity] -> (-5*S[-1, Infinity]^8)/144 - 
   (2523*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (428381*S[2, Infinity]^4)/78400 + 
   ((319*S[-1, Infinity]^2)/224 + (267*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (30217*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1089*S[3, Infinity])/448)*S[5, Infinity] + 
   (32447*S[-1, Infinity]*S[7, Infinity])/896 + 
   (30*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/42 - (102*S[-1, 1, 1, 1, Infinity])/
      7) + (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (38592*S[-7, -1, Infinity] + 1971*S[5, 3, Infinity] - 
     6144*S[-5, -1, -1, -1, Infinity] + 16896*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/42 - 
     (127*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (13973*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/5 - 28*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-745*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, 2, -1, 2, -2, Infinity] -> (867*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (1255089*S[2, Infinity]^4)/196000 + 
   ((-53*S[-1, Infinity]^2)/16 - (13337*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (5675*S[-1, Infinity]*S[2, Infinity])/64 + (13739*S[3, Infinity])/896)*
    S[5, Infinity] + (32447*S[-1, Infinity]*S[7, Infinity])/896 - 
   18*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/7 + 
   (400320*S[-7, -1, Infinity] + 126667*S[5, 3, Infinity] + 
     151040*S[-5, -1, -1, -1, Infinity] - 43520*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((467*S[-1, Infinity]^4)/336 + 
     (9*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-151*S[-1, Infinity]^5)/840 + (87*S[-1, Infinity]^3*S[2, Infinity])/
      14 + (591*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/60 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(123*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-1, 2, -1, 1, 3, Infinity] -> S[-1, Infinity]^8/96 + 
   (1111*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (150847*S[2, Infinity]^4)/33600 + ((3139*S[-1, Infinity]^2)/896 - 
     (1957*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/32 + (24247*S[-1, Infinity]*S[2, Infinity])/
      896 + (21213*S[3, Infinity])/512)*S[5, Infinity] + 
   (4909*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/240 + 
     S[-1, 1, 1, 1, Infinity]/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (22912*S[-7, -1, Infinity] + 4005*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 3584*S[-5, -1, 1, 1, Infinity] + 
     1536*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((-35*S[-1, Infinity]^5)/96 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (34409*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (135*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - 29*S[-5, -1, Infinity] + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]), S[-1, 2, -1, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/144 + (343*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (506489*S[2, Infinity]^4)/470400 + 
   ((2641*S[-1, Infinity]^2)/448 - (5499*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/32 + 
     (2095*S[-1, Infinity]*S[2, Infinity])/224 + (72341*S[3, Infinity])/1792)*
    S[5, Infinity] + (4909*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (52*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(32*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-513*S[-1, Infinity]^4)/1120 + 
     (139*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (120704*S[-7, -1, Infinity] + 19857*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 22016*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-491*S[-1, Infinity]^5)/1680 + 
     (59*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (7853*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (351*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-533*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, 2, -1, -1, 3, Infinity] -> (5713*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (4212571*S[2, Infinity]^4)/1176000 + 
   ((41*S[-1, Infinity]^2)/16 - (3233*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-279*S[-1, Infinity]^3)/16 + (939*S[-1, Infinity]*S[2, Infinity])/16 + 
     (3565*S[3, Infinity])/56)*S[5, Infinity] + 
   (106245*S[-1, Infinity]*S[7, Infinity])/1792 - 
   22*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (2*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/
    7 + (12655*S[-7, -1, Infinity] + 2712*S[5, 3, Infinity] + 
     2280*S[-5, -1, -1, -1, Infinity] + 1080*S[-5, -1, 1, 1, Infinity])/70 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/105 - 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-101*S[-1, Infinity]^5)/420 + (593*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (409*S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     (202*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(305*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-1, 2, -1, -1, -3, Infinity] -> (1653*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (4875869*S[2, Infinity]^4)/1176000 + 
   ((215*S[-1, Infinity]^2)/224 - (10329*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/16 + 
     (4563*S[-1, Infinity]*S[2, Infinity])/56 + (65967*S[3, Infinity])/896)*
    S[5, Infinity] + (106245*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (134*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/
    7 + (3*(303040*S[-7, -1, Infinity] + 64671*S[5, 3, Infinity] + 
      55040*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity]))/
    4480 + S[2, Infinity]^2*((-4*S[-1, Infinity]^4)/21 - 
     (24*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-55*S[-1, Infinity]^5)/168 + (739*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (8751*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (275*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-247*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, -1, -2, 2, Infinity] -> (89*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (44899*S[2, Infinity]^4)/7840 + 
   ((-153*S[-1, Infinity]^2)/112 - (7905*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (8135*S[-1, Infinity]*S[2, Infinity])/448 + (57041*S[3, Infinity])/896)*
    S[5, Infinity] + (4531*S[-1, Infinity]*S[7, Infinity])/128 - 
   (34*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   8*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   (79168*S[-7, -1, Infinity] + 13005*S[5, 3, Infinity] + 
     8704*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity])/
    896 + S[2, Infinity]^2*((-2033*S[-1, Infinity]^4)/1680 - 
     (207*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((143*S[-1, Infinity]^5)/840 - (67*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (3131*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (312*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/60 - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-179*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, -1, -2, -2, Infinity] -> S[-1, Infinity]^8/72 + 
   (2609*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (361869*S[2, Infinity]^4)/49000 + 
   ((181*S[-1, Infinity]^2)/224 + (457*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (2839*S[-1, Infinity]*S[2, Infinity])/448 - (1501*S[3, Infinity])/448)*
    S[5, Infinity] + (4531*S[-1, Infinity]*S[7, Infinity])/128 - 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   8*S[-1, Infinity]*S[5, -1, -1, Infinity] - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-779*S[-1, Infinity]^4)/1680 + 
     (219*S[-1, 1, 1, 1, Infinity])/70) + 
   (197440*S[-7, -1, Infinity] + 42223*S[5, 3, Infinity] + 
     40960*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/21 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (2529*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (S[-1, Infinity]^6/20 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (2*(139*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, 2, -1, -3, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (3629*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2875129*S[2, Infinity]^4)/784000 + 
   ((263*S[-1, Infinity]^2)/112 - (2629*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (6819*S[-1, Infinity]*S[2, Infinity])/112 + (30525*S[3, Infinity])/896)*
    S[5, Infinity] + (44739*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (237*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((2941*S[-1, Infinity]^4)/3360 + 
     (209*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/16 - (116*S[-5, -1, Infinity])/7 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (922720*S[-7, -1, Infinity] + 236331*S[5, 3, Infinity] + 
     230400*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-46*S[-1, Infinity]^5)/105 + 
     (953*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (11913*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, -1, -3, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (1633*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (995101*S[2, Infinity]^4)/392000 + 
   ((631*S[-1, Infinity]^2)/112 + (127*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (477*S[-1, Infinity]*S[2, Infinity])/56 - (101*S[3, Infinity])/14)*
    S[5, Infinity] + (44739*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (34*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((493*S[-1, Infinity]^4)/840 + 
     (137*S[-1, 1, 1, 1, Infinity])/35) + 
   (-49760*S[-7, -1, Infinity] - 5063*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 14720*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/840 - 
     (S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (123*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (22*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + (113*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -2, 2, 1, Infinity] -> (5*S[-1, Infinity]^8)/144 + 
   (179*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (216947*S[2, Infinity]^4)/
    31360 + ((1717*S[-1, Infinity]^2)/224 + (1261*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-14635*S[-1, Infinity]*S[2, Infinity])/896 + 
     (85369*S[3, Infinity])/1792)*S[5, Infinity] - 
   (43481*S[-1, Infinity]*S[7, Infinity])/896 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (47*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/840 + 
     (149*S[-1, 1, 1, 1, Infinity])/35) + 
   (-10688*S[-7, -1, Infinity] - 12393*S[5, 3, Infinity] - 
     45568*S[-5, -1, -1, -1, Infinity] + 45568*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-69*S[-1, Infinity]^5)/112 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (1353*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (615*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/60 - (178*S[-5, -1, Infinity])/7 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -2, 2, -1, Infinity] -> S[-1, Infinity]^8/36 + 
   (249*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (76901*S[2, Infinity]^4)/7000 + ((1269*S[-1, Infinity]^2)/112 + 
     (481*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-22727*S[-1, Infinity]*S[2, Infinity])/448 + (6873*S[3, Infinity])/128)*
    S[5, Infinity] - (43481*S[-1, Infinity]*S[7, Infinity])/896 + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (47*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/30 + 
     (32*S[-1, 1, 1, 1, Infinity])/5) + 
   (-640*S[-7, -1, Infinity] - 969*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity] + 1920*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/60 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (3303*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     49*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/60 - 48*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -2, 1, 2, Infinity] -> S[-1, Infinity]^8/96 + 
   (159*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (378601*S[2, Infinity]^4)/392000 + 
   ((143*S[-1, Infinity]^2)/56 + (2159*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((3925*S[-1, Infinity]*S[2, Infinity])/896 - 
     (22639*S[3, Infinity])/3584)*S[5, Infinity] - 
   (22217*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/560 + 
     (87*S[-1, 1, 1, 1, Infinity])/70) + 
   (85*S[-7, -1, Infinity] - 528*S[5, 3, Infinity] - 
     180*S[-5, -1, -1, -1, Infinity] + 180*S[-5, -1, 1, 1, Infinity] + 
     840*S[-1, 1, 1, 1, Infinity]^2)/140 + 
   S[3, Infinity]*((-407*S[-1, Infinity]^5)/1680 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (5251*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (127*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/72 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-11*S[-5, -1, Infinity] - 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, -2, 1, -2, Infinity] -> (227*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (48729*S[2, Infinity]^4)/49000 + 
   ((61*S[-1, Infinity]^2)/32 + (229*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((29*S[-1, Infinity]*S[2, Infinity])/64 + (6065*S[3, Infinity])/896)*
    S[5, Infinity] - (22217*S[-1, Infinity]*S[7, Infinity])/1792 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-12480*S[-7, -1, Infinity] + 4337*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/168 + 
     (16*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (-S[-1, Infinity]^5/7 + (59*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (69*S[-1, Infinity]*S[2, Infinity]^2)/32 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (20*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/36 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-23*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, 2, -2, -1, 2, Infinity] -> (-101*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 - (1149*S[2, Infinity]^4)/1750 + 
   ((311*S[-1, Infinity]^2)/112 + (1369*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (4439*S[-1, Infinity]*S[2, Infinity])/112 - (2113*S[3, Infinity])/64)*
    S[5, Infinity] - (72581*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (80*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    7 + (-28480*S[-7, -1, Infinity] - 7381*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/320 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/30 + (4*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(S[-1, Infinity]^5/10 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (14047*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     12*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/180 - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     8*(-2*S[-5, -1, Infinity] - S[-1, 1, 1, 1, 1, 1, Infinity])), 
 S[-1, 2, -2, -1, -2, Infinity] -> -S[-1, Infinity]^8/36 - 
   (2329*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2383529*S[2, Infinity]^4)/196000 + 
   ((117*S[-1, Infinity]^2)/112 + (3295*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (33791*S[-1, Infinity]*S[2, Infinity])/448 - (33321*S[3, Infinity])/
      1792)*S[5, Infinity] - (72581*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (75*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((53*S[-1, Infinity]^4)/105 - 
     (424*S[-1, 1, 1, 1, Infinity])/35) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-117120*S[-7, -1, Infinity] - 33381*S[5, 3, Infinity] - 
     50560*S[-5, -1, -1, -1, Infinity] + 23680*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((341*S[-1, Infinity]^5)/1680 - 
     (383*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (5129*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (201*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 20*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (16*(-4*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, 2, -2, -2, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (83*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (206179*S[2, Infinity]^4)/
    392000 + ((-513*S[-1, Infinity]^2)/224 - (1489*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-53*S[-1, Infinity]*S[2, Infinity])/28 - 
     (209*S[3, Infinity])/448)*S[5, Infinity] + 
   (415*S[-1, Infinity]*S[7, Infinity])/16 + 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-263*S[-1, Infinity]^4)/1680 + 
     (53*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (46*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-7680*S[-7, -1, Infinity] + 25007*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((197*S[-1, Infinity]^5)/1680 - 
     (169*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1167*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (127*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, 2, -2, -2, -1, Infinity] -> 
  (367*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (39929*S[2, Infinity]^4)/3920 + ((-527*S[-1, Infinity]^2)/112 - 
     (895*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((21481*S[-1, Infinity]*S[2, Infinity])/448 - (50189*S[3, Infinity])/1792)*
    S[5, Infinity] + (415*S[-1, Infinity]*S[7, Infinity])/16 - 
   (30*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (3264*S[-7, -1, Infinity] + 2941*S[5, 3, Infinity] + 
     7424*S[-5, -1, -1, -1, Infinity] - 7424*S[-5, -1, 1, 1, Infinity])/448 + 
   S[2, Infinity]^2*((38*S[-1, Infinity]^4)/105 + 
     (116*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((41*S[-1, Infinity]^5)/336 + (59*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (1711*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (205*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + (232*S[-5, -1, Infinity])/7 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -3, 1, 1, Infinity] -> (-7*S[-1, Infinity]^8)/576 - 
   (1217*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (394333*S[2, Infinity]^4)/392000 + 
   ((-139*S[-1, Infinity]^2)/56 - (17*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/96 + (2655*S[-1, Infinity]*S[2, Infinity])/448 - 
     (10141*S[3, Infinity])/448)*S[5, Infinity] - 
   (3669*S[-1, Infinity]*S[7, Infinity])/896 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((1153*S[-1, Infinity]^4)/3360 - 
     (943*S[-1, 1, 1, 1, Infinity])/140) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-55680*S[-7, -1, Infinity] + 3919*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 45440*S[-5, -1, 1, 1, Infinity] - 
     62720*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((169*S[-1, Infinity]^5)/840 - 
     (137*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (533*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (431*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 + (71*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 2, -3, 1, -1, Infinity] -> S[-1, Infinity]^8/288 - 
   (369*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + 
   (557757*S[2, Infinity]^4)/196000 + 
   ((-1915*S[-1, Infinity]^2)/896 + (5751*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 - 
     (2403*S[-1, Infinity]*S[2, Infinity])/224 - (119181*S[3, Infinity])/
      3584)*S[5, Infinity] - (3669*S[-1, Infinity]*S[7, Infinity])/896 + 
   (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((239*S[-1, Infinity]^4)/168 + 
     (34*S[-1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/24 + (1045*S[-5, -1, Infinity])/28 + 
     7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1341440*S[-7, -1, Infinity] - 187041*S[5, 3, Infinity] - 
     57600*S[-5, -1, -1, -1, Infinity] - 256000*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/672 + 
     (293*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (6467*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (200*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, -3, -1, 1, Infinity] -> 
  (7*S[-1, Infinity]^8)/576 + (3513*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (18241*S[2, Infinity]^4)/392000 + 
   ((-337*S[-1, Infinity]^2)/896 + (2257*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 + 
     (1489*S[-1, Infinity]*S[2, Infinity])/112 + (17751*S[3, Infinity])/3584)*
    S[5, Infinity] - (77545*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity]))/
    7 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-2197*S[-1, Infinity]^4)/3360 + 
     (1147*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + (187*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-461760*S[-7, -1, Infinity] - 67549*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/42 + 
     (485*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (901*S[-1, Infinity]*S[2, Infinity]^2)/224 + 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (10*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, -3, -1, -1, Infinity] -> S[-1, Infinity]^8/288 + 
   (1749*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2538563*S[2, Infinity]^4)/784000 + 
   ((-955*S[-1, Infinity]^2)/448 - (419*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 + 
     (8905*S[-1, Infinity]*S[2, Infinity])/448 + (77165*S[3, Infinity])/3584)*
    S[5, Infinity] - (77545*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-2179*S[-1, Infinity]^4)/1680 - 
     (131*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/24 - (353*S[-5, -1, Infinity])/14 - 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (664320*S[-7, -1, Infinity] + 82071*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] + 158720*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/210 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3469*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (124*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 4, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/576 + (2279*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (50191*S[2, Infinity]^4)/147000 + 
   ((11*S[-1, Infinity]^2)/4 - (1557*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-279*S[-1, Infinity]^3)/64 + (437*S[-1, Infinity]*S[2, Infinity])/64 + 
     (33749*S[3, Infinity])/3584)*S[5, Infinity] + 
   (7223*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((313*S[-1, Infinity]^4)/3360 - 
     (103*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (437*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (661440*S[-7, -1, Infinity] + 108659*S[5, 3, Infinity] + 
     72960*S[-5, -1, -1, -1, Infinity] + 88320*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-521*S[-1, Infinity]^5)/3360 + 
     (141*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (1879*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 4, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (53*S[-1, Infinity]^2*S[2, Infinity]^3)/336 - 
   (38231*S[2, Infinity]^4)/294000 + ((2441*S[-1, Infinity]^2)/896 - 
     (2931*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/32 - (113*S[-1, Infinity]*S[2, Infinity])/224 + 
     (13323*S[3, Infinity])/1792)*S[5, Infinity] + 
   (7223*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (85*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((771*S[-1, Infinity]^4)/1120 - 
     (3*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + (169*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-53120*S[-7, -1, Infinity] + 12451*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((33*S[-1, Infinity]^5)/1120 + 
     (419*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (61*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 4, -1, 1, Infinity] -> 
  (5*S[-1, Infinity]^8)/576 + (3091*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (43571*S[2, Infinity]^4)/24000 + ((839*S[-1, Infinity]^2)/896 - 
     (1445*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((6527*S[-1, Infinity]*S[2, Infinity])/224 + (5317*S[3, Infinity])/128)*
    S[5, Infinity] - (8797*S[-1, Infinity]*S[7, Infinity])/896 - 
   (165*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (67*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (15*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-233*S[-1, Infinity]^4)/480 - 
     (7*S[-1, 1, 1, 1, Infinity])/20) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (99840*S[-7, -1, Infinity] + 15123*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity] + 
     6400*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/480 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (14179*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     27*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, 4, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (20059*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (231589*S[2, Infinity]^4)/588000 + 
   ((589*S[-1, Infinity]^2)/448 - (3377*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 + 
     (20897*S[-1, Infinity]*S[2, Infinity])/448 + (143833*S[3, Infinity])/
      3584)*S[5, Infinity] - (8797*S[-1, Infinity]*S[7, Infinity])/896 - 
   (129*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (15*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-92*S[-1, Infinity]^4)/105 + S[-1, 1, 1, 1, Infinity]/
      35) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (563*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1909760*S[-7, -1, Infinity] + 345229*S[5, 3, Infinity] + 
     226560*S[-5, -1, -1, -1, Infinity] + 248320*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-1511*S[-1, Infinity]^5)/3360 + 
     (451*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1107*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (194*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 3, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/576 - (4343*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (150707*S[2, Infinity]^4)/294000 + 
   ((-2757*S[-1, Infinity]^2)/896 + (5087*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/64 - 
     (6957*S[-1, Infinity]*S[2, Infinity])/448 - (16759*S[3, Infinity])/896)*
    S[5, Infinity] - (13675*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (107*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-71*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/3360 + 
     (227*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + (699*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-1078720*S[-7, -1, Infinity] - 174359*S[5, 3, Infinity] - 
     119040*S[-5, -1, -1, -1, Infinity] - 149760*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((121*S[-1, Infinity]^5)/1120 - 
     (391*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (22429*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (433*S[-1, 1, 1, 1, 1, Infinity])/28), S[-1, 1, 3, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/72 - (233*S[-1, Infinity]^2*S[2, Infinity]^3)/420 - 
   (756011*S[2, Infinity]^4)/2352000 + 
   ((-417*S[-1, Infinity]^2)/128 + (7247*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((713*S[-1, Infinity]^3)/96 - 
     (1553*S[-1, Infinity]*S[2, Infinity])/128 - (41989*S[3, Infinity])/3584)*
    S[5, Infinity] - (13675*S[-1, Infinity]*S[7, Infinity])/3584 + 
   7*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-71*S[-5, 1, 1, Infinity] + 20*S[5, -1, -1, Infinity]))/
    14 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-263*S[-1, Infinity]^4)/420 + 
     (106*S[-1, 1, 1, 1, Infinity])/35) + 
   (-77760*S[-7, -1, Infinity] - 54553*S[5, 3, Infinity] - 
     48000*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-251*S[-1, Infinity]^5)/3360 - 
     (187*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1441*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - (181*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 3, 1, 2, Infinity] -> S[-1, Infinity]^8/576 - 
   (79*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (212589*S[2, Infinity]^4)/
    784000 + ((-13*S[-1, Infinity]^2)/28 + (2649*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (853*S[-1, Infinity]*S[2, Infinity])/896 - (17049*S[3, Infinity])/3584)*
    S[5, Infinity] - (571*S[-1, Infinity]*S[7, Infinity])/256 + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/105 + (19*S[-1, 1, 1, 1, Infinity])/
      70) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-178240*S[-7, -1, Infinity] - 34653*S[5, 3, Infinity] - 
     20480*S[-5, -1, -1, -1, Infinity] - 33280*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/3360 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/14 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + (73*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 3, 1, -2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (3297*S[2, Infinity]^4)/
    8000 + ((-11*S[-1, Infinity]^2)/32 + (9*S[2, Infinity])/4)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 - 
     (475*S[-1, Infinity]*S[2, Infinity])/64 - (2055*S[3, Infinity])/512)*
    S[5, Infinity] - (571*S[-1, Infinity]*S[7, Infinity])/256 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/40 - (2*S[-1, 1, 1, 1, Infinity])/
      5) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-10880*S[-7, -1, Infinity] - 2637*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-1, 1, 1, 1, Infinity]^2)/
    1280 + S[3, Infinity]*((3*S[-1, Infinity]^5)/80 - 
     (S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (681*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, 3, -1, 2, Infinity] -> 
  (-7*S[-1, Infinity]^8)/576 - (295*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (118703*S[2, Infinity]^4)/112000 + 
   ((131*S[-1, Infinity]^2)/448 + (1803*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 - 
     (18981*S[-1, Infinity]*S[2, Infinity])/448 - (981*S[3, Infinity])/32)*
    S[5, Infinity] + (6997*S[-1, Infinity]*S[7, Infinity])/448 + 
   (187*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((49*S[-1, Infinity]^4)/160 + 
     (3*S[-1, 1, 1, 1, Infinity])/20) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-170240*S[-7, -1, Infinity] - 30001*S[5, 3, Infinity] - 
     19200*S[-5, -1, -1, -1, Infinity] - 21760*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((131*S[-1, Infinity]^5)/480 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (3237*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (81*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 + 17*S[-5, -1, Infinity] - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, 1, Infinity]), S[-1, 1, 3, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/288 - (3363*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (14191*S[2, Infinity]^4)/56000 + ((-121*S[-1, Infinity]^2)/448 + 
     (991*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/32 - (16339*S[-1, Infinity]*S[2, Infinity])/896 - 
     (7717*S[3, Infinity])/512)*S[5, Infinity] + 
   (6997*S[-1, Infinity]*S[7, Infinity])/448 + 
   (131*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/240 + S[-1, 1, 1, 1, Infinity]/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-85440*S[-7, -1, Infinity] - 16609*S[5, 3, Infinity] - 
     8960*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/80 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (17069*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (61*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[-1, 1, 3, -2, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/210 - 
   (2506037*S[2, Infinity]^4)/2352000 + 
   ((-1377*S[-1, Infinity]^2)/896 + (1423*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/96 - 
     (2883*S[-1, Infinity]*S[2, Infinity])/224 - (9593*S[3, Infinity])/896)*
    S[5, Infinity] - (9913*S[-1, Infinity]*S[7, Infinity])/896 + 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-611*S[-1, Infinity]^4)/3360 - 
     (19*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + (22*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-239360*S[-7, -1, Infinity] - 43821*S[5, 3, Infinity] - 
     44160*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((25*S[-1, Infinity]^5)/224 - 
     (305*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1423*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 3, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (2393*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (27799*S[2, Infinity]^4)/18375 + ((-45*S[-1, Infinity]^2)/64 + 
     (4803*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/64 - (3989*S[-1, Infinity]*S[2, Infinity])/128 - 
     (35061*S[3, Infinity])/1792)*S[5, Infinity] - 
   (9913*S[-1, Infinity]*S[7, Infinity])/896 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((341*S[-1, Infinity]^4)/1680 - 
     (131*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-300400*S[-7, -1, Infinity] - 60873*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 25280*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((115*S[-1, Infinity]^5)/672 - 
     (201*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (353*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (165*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + (142*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 2, 3, 1, Infinity] -> -S[-1, Infinity]^8/192 + 
   (1829*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (473279*S[2, Infinity]^4)/588000 + 
   ((59*S[-1, Infinity]^2)/112 - (2501*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/64 + 
     (7283*S[-1, Infinity]*S[2, Infinity])/448 + (199*S[3, Infinity])/28)*
    S[5, Infinity] + (27145*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (53*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(66*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*(-S[-1, Infinity]^4/560 - 
     (156*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (583*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (1115200*S[-7, -1, Infinity] + 173601*S[5, 3, Infinity] + 
     165120*S[-5, -1, -1, -1, Infinity] + 103680*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((341*S[-1, Infinity]^5)/3360 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (16629*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (197*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, 1, 2, 3, -1, Infinity] -> 
  S[-1, Infinity]^8/192 + (4597*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (4343179*S[2, Infinity]^4)/2352000 + 
   ((3599*S[-1, Infinity]^2)/896 - (5589*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-279*S[-1, Infinity]^3)/32 - 
     (1223*S[-1, Infinity]*S[2, Infinity])/896 + (23739*S[3, Infinity])/896)*
    S[5, Infinity] + (27145*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(66*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1081*S[-1, Infinity]^4)/1680 + 
     (37*S[-1, 1, 1, 1, Infinity])/35) + 
   (154880*S[-7, -1, Infinity] + 77111*S[5, 3, Infinity] + 
     40960*S[-5, -1, -1, -1, Infinity] + 66560*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/1680 + 
     (593*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (4549*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (139*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-9*S[-1, Infinity]^6)/80 - (103*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 2, 2, 2, Infinity] -> S[-1, Infinity]^8/96 + 
   (417*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (978049*S[2, Infinity]^4)/392000 + 
   ((2195*S[-1, Infinity]^2)/224 - (3795*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (11407*S[-1, Infinity]*S[2, Infinity])/896 + (45681*S[3, Infinity])/
      1792)*S[5, Infinity] - (10327*S[-1, Infinity]*S[7, Infinity])/512 - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((2321*S[-1, Infinity]^4)/6720 + 
     (479*S[-1, 1, 1, 1, Infinity])/280) + 
   (473440*S[-7, -1, Infinity] + 75223*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 94720*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-1087*S[-1, Infinity]^5)/1680 + 
     (793*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (32807*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (176*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/15 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-1499*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, 2, 2, -2, Infinity] -> -S[-1, Infinity]^8/96 + 
   (122*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (1344311*S[2, Infinity]^4)/
    784000 + ((1005*S[-1, Infinity]^2)/224 - (4323*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 + 
     (14401*S[-1, Infinity]*S[2, Infinity])/448 + (25203*S[3, Infinity])/896)*
    S[5, Infinity] - (10327*S[-1, Infinity]*S[7, Infinity])/512 - 
   (68*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((2111*S[-1, Infinity]^4)/6720 - 
     (151*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (588480*S[-7, -1, Infinity] + 122803*S[5, 3, Infinity] + 
     61440*S[-5, -1, -1, -1, Infinity] + 81920*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/1680 + 
     (239*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (20669*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-277*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, 2, 1, 3, Infinity] -> (-185*S[-1, Infinity]^2*S[2, Infinity]^3)/
    168 + (872611*S[2, Infinity]^4)/2352000 + 
   ((-1473*S[-1, Infinity]^2)/896 + (1283*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (1013*S[-1, Infinity]*S[2, Infinity])/224 - (1147*S[3, Infinity])/224)*
    S[5, Infinity] + (17273*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (323*S[2, Infinity]*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    7 + (-32880*S[-7, -1, Infinity] - 221*S[5, 3, Infinity] + 
     320*S[-5, -1, -1, -1, Infinity] - 13760*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((227*S[-1, Infinity]^4)/6720 - 
     (227*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((361*S[-1, Infinity]^5)/3360 - 
     (235*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2249*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, 1, 2, 1, -3, Infinity] -> 
  (-185*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - 
   (221419*S[2, Infinity]^4)/294000 + 
   ((-195*S[-1, Infinity]^2)/224 + (3991*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 - 
     (1707*S[-1, Infinity]*S[2, Infinity])/112 - (4903*S[3, Infinity])/896)*
    S[5, Infinity] + (17273*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    7 + (-20080*S[-7, -1, Infinity] - 14289*S[5, 3, Infinity] - 
     12160*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/560 - 
     (69*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (S[-1, Infinity]^6/16 - (87*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/1120 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (6309*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 2, -1, 3, Infinity] -> 
  -S[-1, Infinity]^8/192 - (617*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (320773*S[2, Infinity]^4)/168000 + 
   ((-2669*S[-1, Infinity]^2)/896 - (1447*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 + 
     (15727*S[-1, Infinity]*S[2, Infinity])/448 + (1507*S[3, Infinity])/128)*
    S[5, Infinity] - (16915*S[-1, Infinity]*S[7, Infinity])/896 - 
   (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/120 - 
     (7*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (61440*S[-7, -1, Infinity] + 13579*S[5, 3, Infinity] + 
     8960*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/160 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (12777*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/80 + 11*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, 1, 1, 1, 1, 1, Infinity]), S[-1, 1, 2, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/288 + (293*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (5631223*S[2, Infinity]^4)/2352000 + 
   ((-101*S[-1, Infinity]^2)/56 + (751*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/32 - 
     (747*S[-1, Infinity]*S[2, Infinity])/896 - (15035*S[3, Infinity])/896)*
    S[5, Infinity] - (16915*S[-1, Infinity]*S[7, Infinity])/896 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] + 37*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((177*S[-1, Infinity]^4)/2240 + 
     (309*S[-1, 1, 1, 1, Infinity])/280) + 
   (-19140*S[-7, -1, Infinity] - 3361*S[5, 3, Infinity] - 
     2720*S[-5, -1, -1, -1, Infinity] - 2320*S[-5, -1, 1, 1, Infinity] + 
     1120*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((197*S[-1, Infinity]^5)/3360 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (8933*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + 
     (253*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, 2, -2, 2, Infinity] -> S[-1, Infinity]^8/144 - 
   (1663*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1218879*S[2, Infinity]^4)/784000 + 
   ((-929*S[-1, Infinity]^2)/448 + (4465*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-16411*S[-1, Infinity]*S[2, Infinity])/448 + 
     (26101*S[3, Infinity])/3584)*S[5, Infinity] + 
   (67675*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (60*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/105 + 
     (24*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-7360*S[-7, -1, Infinity] - 10169*S[5, 3, Infinity] - 
     14720*S[-5, -1, -1, -1, Infinity] + 14720*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/210 - 
     (593*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (284*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-403*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, 2, -2, -2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (1679*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (418827*S[2, Infinity]^4)/196000 + 
   ((-1005*S[-1, Infinity]^2)/112 - (4579*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((4759*S[-1, Infinity]*S[2, Infinity])/896 - 
     (9787*S[3, Infinity])/448)*S[5, Infinity] + 
   (67675*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-155*S[-1, Infinity]^4)/1344 - 
     (405*S[-1, 1, 1, 1, Infinity])/56) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (5440*S[-7, -1, Infinity] + 2489*S[5, 3, Infinity] + 
     7520*S[-5, -1, -1, -1, Infinity] - 7520*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((139*S[-1, Infinity]^5)/210 - 
     (671*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (15599*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/45 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (787*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, 2, -3, 1, Infinity] -> -S[-1, Infinity]^8/192 + 
   (1513*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (788303*S[2, Infinity]^4)/1176000 + 
   ((3499*S[-1, Infinity]^2)/896 - (6631*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/96 + 
     (145*S[-1, Infinity]*S[2, Infinity])/14 + (5003*S[3, Infinity])/224)*
    S[5, Infinity] + (633*S[-1, Infinity]*S[7, Infinity])/112 - 
   (137*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (93*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((27*S[-1, Infinity]^4)/140 - 
     (9*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (312960*S[-7, -1, Infinity] + 39307*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] + 59520*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/840 + 
     (589*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (601*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 2, -3, -1, Infinity] -> 
  (1829*S[-1, Infinity]^2*S[2, Infinity]^3)/672 + 
   (60061*S[2, Infinity]^4)/117600 + ((2503*S[-1, Infinity]^2)/448 - 
     (1025*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-899*S[-1, Infinity]^3)/192 + (21513*S[-1, Infinity]*S[2, Infinity])/
      896 + (78037*S[3, Infinity])/3584)*S[5, Infinity] + 
   (633*S[-1, Infinity]*S[7, Infinity])/112 - 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + (313216*S[-7, -1, Infinity] + 49963*S[5, 3, Infinity] + 
     27904*S[-5, -1, -1, -1, Infinity] + 38400*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((-191*S[-1, Infinity]^4)/448 - 
     (99*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-1307*S[-1, Infinity]^5)/3360 + (349*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (7053*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (143*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - (227*S[-5, -1, Infinity])/7 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 1, 4, 1, Infinity] -> S[-1, Infinity]^8/576 - 
   (121*S[-1, Infinity]^2*S[2, Infinity]^3)/336 - 
   (198439*S[2, Infinity]^4)/294000 + 
   ((-795*S[-1, Infinity]^2)/896 + (1125*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((35*S[-1, Infinity]^3)/8 - 
     (1003*S[-1, Infinity]*S[2, Infinity])/224 - (4883*S[3, Infinity])/3584)*
    S[5, Infinity] - (23169*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/336 + (11*S[-1, 1, 1, 1, Infinity])/
      7) + S[2, Infinity]*(-S[-1, Infinity]^6/48 + (223*S[-5, -1, Infinity])/
      28 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-375360*S[-7, -1, Infinity] - 37257*S[5, 3, Infinity] - 
     47360*S[-5, -1, -1, -1, Infinity] - 42240*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/560 + 
     (S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (4861*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (167*S[-1, 1, 1, 1, 1, Infinity])/28), S[-1, 1, 1, 4, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/240 + 
   (187339*S[2, Infinity]^4)/588000 + 
   ((-1037*S[-1, Infinity]^2)/448 + (25*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((35*S[-1, Infinity]^3)/8 + 
     (2581*S[-1, Infinity]*S[2, Infinity])/448 - (1567*S[3, Infinity])/448)*
    S[5, Infinity] - (23169*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-169*S[-1, Infinity]^4)/420 - 
     (59*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (151360*S[-7, -1, Infinity] + 17643*S[5, 3, Infinity] + 
     11520*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/1120 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (2213*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 - (97*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 1, 3, 2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (43*S[-1, Infinity]^2*S[2, Infinity]^3)/84 + (171943*S[2, Infinity]^4)/
    196000 + ((-12*S[-1, Infinity]^2)/7 - (167*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-141*S[-1, Infinity]^3)/64 + 
     (S[-1, Infinity]*S[2, Infinity])/14 - (1627*S[3, Infinity])/448)*
    S[5, Infinity] + (531*S[-1, Infinity]*S[7, Infinity])/56 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-143*S[-1, Infinity]^4)/1344 - 
     (81*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (31120*S[-7, -1, Infinity] - 4551*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/560 - 
     (193*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (69*S[-1, Infinity]*S[2, Infinity]^2)/28 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((17*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-159*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, 1, 3, -2, Infinity] -> (-281*S[-1, Infinity]^2*S[2, Infinity]^3)/
    672 + (161529*S[2, Infinity]^4)/392000 + 
   ((-31*S[-1, Infinity]^2)/896 - (663*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-141*S[-1, Infinity]^3)/64 - 
     (283*S[-1, Infinity]*S[2, Infinity])/448 - (13149*S[3, Infinity])/3584)*
    S[5, Infinity] + (531*S[-1, Infinity]*S[7, Infinity])/56 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/
    14 + (-101760*S[-7, -1, Infinity] + 5589*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] - 38400*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((177*S[-1, Infinity]^4)/2240 + 
     (29*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    ((29*S[-1, Infinity]^5)/3360 - (19*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (1593*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (4*(11*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, 1, 1, 2, 3, Infinity] -> (-1793*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (18763*S[2, Infinity]^4)/117600 + 
   ((-517*S[-1, Infinity]^2)/224 + (1189*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((827*S[-1, Infinity]^3)/192 - 
     (3517*S[-1, Infinity]*S[2, Infinity])/448 - (8569*S[3, Infinity])/896)*
    S[5, Infinity] - (2433*S[-1, Infinity]*S[7, Infinity])/512 + 
   (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   (-2097*S[-7, -1, Infinity] - 289*S[5, 3, Infinity] - 
     176*S[-5, -1, -1, -1, Infinity] - 272*S[-5, -1, 1, 1, Infinity])/56 + 
   S[2, Infinity]^2*((-25*S[-1, Infinity]^4)/1344 + 
     (81*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((251*S[-1, Infinity]^5)/3360 - (79*S[-1, Infinity]^3*S[2, Infinity])/
      112 - (689*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (89*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 + 
     (831*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, 1, 2, -3, Infinity] -> S[-1, Infinity]^8/576 - 
   (907*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (223133*S[2, Infinity]^4)/588000 + 
   ((-2509*S[-1, Infinity]^2)/896 + (4009*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((827*S[-1, Infinity]^3)/192 - 
     (2509*S[-1, Infinity]*S[2, Infinity])/448 - (59035*S[3, Infinity])/3584)*
    S[5, Infinity] - (2433*S[-1, Infinity]*S[7, Infinity])/512 + 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/1680 + 
     (48*S[-1, 1, 1, 1, Infinity])/35) + 
   (-317120*S[-7, -1, Infinity] - 27023*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 104960*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/1120 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (691*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (61*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 1, 1, 1, 4, Infinity] -> (171*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (11621*S[2, Infinity]^4)/39200 + 
   ((1025*S[-1, Infinity]^2)/896 - (1447*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-343*S[-1, Infinity]^3)/192 + 
     (2187*S[-1, Infinity]*S[2, Infinity])/448 + (19247*S[3, Infinity])/3584)*
    S[5, Infinity] + (111*S[-1, Infinity]*S[7, Infinity])/256 - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 + 
   (73280*S[-7, -1, Infinity] + 10159*S[5, 3, Infinity] + 
     5888*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/1120 - 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-181*S[-1, Infinity]^5)/3360 + (51*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (7543*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (181*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/720 + 
     (-115*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, 1, 1, 1, -4, Infinity] -> (43*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (383*S[2, Infinity]^4)/2800 + ((11*S[-1, Infinity]^2)/8 - 
     2*S[2, Infinity])*S[3, Infinity]^2 + 
   ((-343*S[-1, Infinity]^3)/192 + (189*S[-1, Infinity]*S[2, Infinity])/64 + 
     (533*S[3, Infinity])/64)*S[5, Infinity] + 
   (111*S[-1, Infinity]*S[7, Infinity])/256 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 + 
   (384*S[-7, -1, Infinity] + 67*S[5, 3, Infinity] + 
     128*S[-5, -1, 1, 1, Infinity])/64 + S[2, Infinity]^2*
    ((3*S[-1, Infinity]^4)/40 - (2*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/40 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (9*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/360 - 3*S[-5, -1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]), S[-1, 1, 1, -1, 4, Infinity] -> 
  -S[-1, Infinity]^8/576 + (67*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (4493*S[2, Infinity]^4)/28000 + ((-7*S[-1, Infinity]^2)/16 - 
     (235*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-653*S[-1, Infinity]^3)/192 - (203*S[-1, Infinity]*S[2, Infinity])/64 + 
     (565*S[3, Infinity])/256)*S[5, Infinity] + 
   (1081*S[-1, Infinity]*S[7, Infinity])/64 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   4*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/10 - (7*S[-1, 1, 1, 1, Infinity])/
      10) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (7360*S[-7, -1, Infinity] + 2451*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/160 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/2 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]/4) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 - (9*S[-5, -1, Infinity])/2 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 1, -1, -4, Infinity] -> -S[-1, Infinity]^8/576 + 
   (159*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (41129*S[2, Infinity]^4)/156800 + ((-599*S[-1, Infinity]^2)/896 - 
     (10545*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-653*S[-1, Infinity]^3)/192 + (2047*S[-1, Infinity]*S[2, Infinity])/
      448 + (2585*S[3, Infinity])/224)*S[5, Infinity] + 
   (1081*S[-1, Infinity]*S[7, Infinity])/64 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/2240 - 
     (349*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (46496*S[-7, -1, Infinity] + 11173*S[5, 3, Infinity] + 
     10112*S[-5, -1, -1, -1, Infinity] + 2432*S[-5, -1, 1, 1, Infinity] - 
     1792*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/210 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (169*S[-1, Infinity]*S[2, Infinity]^2)/70 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (26*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - (47*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, 1, -2, 3, Infinity] -> S[-1, Infinity]^8/576 + 
   (1633*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (290653*S[2, Infinity]^4)/470400 + 
   ((937*S[-1, Infinity]^2)/448 - (1625*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-599*S[-1, Infinity]^3)/192 + 
     (2161*S[-1, Infinity]*S[2, Infinity])/448 + (3323*S[3, Infinity])/448)*
    S[5, Infinity] + (9*S[-1, Infinity]*S[7, Infinity])/28 - 
   (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((253*S[-1, Infinity]^4)/1680 - 
     (4*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (12032*S[-7, -1, Infinity] + 2607*S[5, 3, Infinity] + 
     1664*S[-5, -1, -1, -1, Infinity] + 2816*S[-5, -1, 1, 1, Infinity] + 
     1792*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-221*S[-1, Infinity]^5)/3360 + 
     (263*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (993*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-81*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, 1, -2, -3, Infinity] -> (76*S[-1, Infinity]^2*S[2, Infinity]^3)/
    105 - (66413*S[2, Infinity]^4)/117600 + 
   ((65*S[-1, Infinity]^2)/32 - (3175*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-599*S[-1, Infinity]^3)/192 + 
     (67*S[-1, Infinity]*S[2, Infinity])/16 + (12437*S[3, Infinity])/1792)*
    S[5, Infinity] + (9*S[-1, Infinity]*S[7, Infinity])/28 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    14 + (44672*S[-7, -1, Infinity] + 4003*S[5, 3, Infinity] + 
     2432*S[-5, -1, -1, -1, Infinity] + 8320*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-51*S[-1, Infinity]^4)/2240 - 
     (127*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/420 + 
     (197*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1101*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (239*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 
     (-165*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, 1, 1, -3, 2, Infinity] -> S[-1, Infinity]^8/576 - 
   (53*S[-1, Infinity]^2*S[2, Infinity]^3)/420 + 
   (1951*S[2, Infinity]^4)/98000 + ((-597*S[-1, Infinity]^2)/896 + 
     (1291*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((631*S[-1, Infinity]^3)/192 + (3239*S[-1, Infinity]*S[2, Infinity])/448 - 
     (16307*S[3, Infinity])/1792)*S[5, Infinity] - 
   (27729*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 34*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((103*S[-1, Infinity]^4)/1120 + 
     (41*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-27520*S[-7, -1, Infinity] - 2889*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 14400*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/280 + 
     (113*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1681*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (89*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (187*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, 1, -3, -2, Infinity] -> S[-1, Infinity]^8/192 + 
   (1661*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (93071*S[2, Infinity]^4)/98000 + ((53*S[-1, Infinity]^2)/32 + 
     (1745*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((631*S[-1, Infinity]^3)/192 - (91*S[-1, Infinity]*S[2, Infinity])/16 + 
     (15229*S[3, Infinity])/3584)*S[5, Infinity] - 
   (27729*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + 34*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((181*S[-1, Infinity]^4)/6720 + 
     (939*S[-1, 1, 1, 1, Infinity])/280) + 
   (-330240*S[-7, -1, Infinity] - 27479*S[5, 3, Infinity] - 
     60160*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-643*S[-1, Infinity]^5)/3360 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (143*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/120 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (71*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, 1, -4, 1, Infinity] -> (-953*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (92443*S[2, Infinity]^4)/84000 + 
   ((-17*S[-1, Infinity]^2)/16 + (33*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((127*S[-1, Infinity]^3)/192 - (31*S[-1, Infinity]*S[2, Infinity])/64 - 
     (293*S[3, Infinity])/32)*S[5, Infinity] - 
   (67*S[-1, Infinity]*S[7, Infinity])/32 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (37*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 + 
   (-22400*S[-7, -1, Infinity] - 2279*S[5, 3, Infinity] - 
     5120*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/80 + (3*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*(S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/
      2 - (33*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, 1, -4, -1, Infinity] -> 
  (-3919*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (520097*S[2, Infinity]^4)/1176000 + 
   ((-299*S[-1, Infinity]^2)/224 + (1217*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((127*S[-1, Infinity]^3)/192 - 
     (1321*S[-1, Infinity]*S[2, Infinity])/112 - (27829*S[3, Infinity])/1792)*
    S[5, Infinity] - (67*S[-1, Infinity]*S[7, Infinity])/32 + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 - 
   (3*(70960*S[-7, -1, Infinity] + 12443*S[5, 3, Infinity] + 
      6400*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity]))/
    4480 + S[2, Infinity]^2*((2207*S[-1, Infinity]^4)/6720 + 
     (313*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((193*S[-1, Infinity]^5)/1120 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (2199*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (167*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + (129*S[-5, -1, Infinity])/7 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -1, 4, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (143*S[-1, Infinity]^2*S[2, Infinity]^3)/210 + 
   (103469*S[2, Infinity]^4)/294000 + 
   ((1189*S[-1, Infinity]^2)/448 - (151*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-185*S[-1, Infinity]^3)/64 + 
     (803*S[-1, Infinity]*S[2, Infinity])/448 + (13765*S[3, Infinity])/896)*
    S[5, Infinity] + (10215*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((457*S[-1, Infinity]^4)/3360 + 
     (173*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - (67*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (43520*S[-7, -1, Infinity] + 263*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] + 4800*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-153*S[-1, Infinity]^5)/1120 + 
     (111*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (2223*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -1, 4, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (163*S[-1, Infinity]^2*S[2, Infinity]^3)/420 + 
   (3790447*S[2, Infinity]^4)/2352000 + 
   ((131*S[-1, Infinity]^2)/28 + (1793*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-185*S[-1, Infinity]^3)/64 - 
     (1009*S[-1, Infinity]*S[2, Infinity])/448 - (313*S[3, Infinity])/28)*
    S[5, Infinity] + (10215*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/1120 + 
     (459*S[-1, 1, 1, 1, Infinity])/140) + 
   (-18880*S[-7, -1, Infinity] - 7851*S[5, 3, Infinity] - 
     8640*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-629*S[-1, Infinity]^5)/3360 + 
     (51*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (47*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/120 + (39*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -1, 3, 2, Infinity] -> S[-1, Infinity]^8/192 - 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/210 + (1017071*S[2, Infinity]^4)/
    392000 + ((-3019*S[-1, Infinity]^2)/896 + (419*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((355*S[-1, Infinity]^3)/64 + 
     (6137*S[-1, Infinity]*S[2, Infinity])/448 - (70015*S[3, Infinity])/3584)*
    S[5, Infinity] - (2675*S[-1, Infinity]*S[7, Infinity])/896 + 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-167*S[-1, Infinity]^4)/3360 + 
     (517*S[-1, 1, 1, 1, Infinity])/140) + 
   (-343040*S[-7, -1, Infinity] - 44029*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] - 138240*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/112 - 
     (S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (319*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (125*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (579*S[-5, -1, Infinity] - 224*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, -1, 3, -2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (2939*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (1216657*S[2, Infinity]^4)/784000 + 
   ((-361*S[-1, Infinity]^2)/64 + (8145*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((355*S[-1, Infinity]^3)/64 - 
     (229*S[-1, Infinity]*S[2, Infinity])/64 - (80111*S[3, Infinity])/3584)*
    S[5, Infinity] - (2675*S[-1, Infinity]*S[7, Infinity])/896 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-139*S[-1, Infinity]^4)/1120 - 
     (283*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-563200*S[-7, -1, Infinity] - 107909*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 92160*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((55*S[-1, Infinity]^5)/168 - 
     (757*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (653*S[-1, Infinity]*S[2, Infinity]^2)/80 - 5*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (100*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((53*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (4*(-25*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, 1, -1, 2, 3, Infinity] -> (1531*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (201361*S[2, Infinity]^4)/336000 + 
   ((5*S[-1, Infinity]^2)/8 - (507*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-785*S[-1, Infinity]^3)/192 + (653*S[-1, Infinity]*S[2, Infinity])/64 + 
     (6179*S[3, Infinity])/256)*S[5, Infinity] + 
   (4425*S[-1, Infinity]*S[7, Infinity])/256 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   (10560*S[-7, -1, Infinity] + 3051*S[5, 3, Infinity] + 
     1600*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/240 - 
     (3*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/120 - (S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (153*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (11*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - (3*S[-5, -1, Infinity])/4 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -1, 2, -3, Infinity] -> -S[-1, Infinity]^8/288 + 
   (569*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (108517*S[2, Infinity]^4)/588000 + 
   ((253*S[-1, Infinity]^2)/448 - (2759*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-785*S[-1, Infinity]^3)/192 - 
     (271*S[-1, Infinity]*S[2, Infinity])/448 + (16441*S[3, Infinity])/3584)*
    S[5, Infinity] + (4425*S[-1, Infinity]*S[7, Infinity])/256 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/1680 - 
     (183*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (622080*S[-7, -1, Infinity] + 103077*S[5, 3, Infinity] + 
     52480*S[-5, -1, -1, -1, Infinity] + 81920*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/1680 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2113*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (57*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - (417*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -1, 1, 4, Infinity] -> (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (10627*S[2, Infinity]^4)/7000 + ((-13*S[-1, Infinity]^2)/32 + 
     (761*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((401*S[-1, Infinity]^3)/192 - (527*S[-1, Infinity]*S[2, Infinity])/64 - 
     (1823*S[3, Infinity])/128)*S[5, Infinity] - 
   5*S[-1, Infinity]*S[7, Infinity] + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (-7040*S[-7, -1, Infinity] - 1901*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/12 + (2*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/480 - (S[-1, Infinity]^3*S[2, Infinity])/
      16 - (179*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-3*S[-5, -1, Infinity] + 
       16*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, 1, -1, 1, -4, Infinity] -> S[-1, Infinity]^8/576 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (246301*S[2, Infinity]^4)/
    784000 + ((-571*S[-1, Infinity]^2)/896 - (1795*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((401*S[-1, Infinity]^3)/192 + 
     (433*S[-1, Infinity]*S[2, Infinity])/112 + S[3, Infinity]/896)*
    S[5, Infinity] - 5*S[-1, Infinity]*S[7, Infinity] + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/336 + 
     (151*S[-1, 1, 1, 1, Infinity])/140) + 
   (-9440*S[-7, -1, Infinity] - 1213*S[5, 3, Infinity] - 
     400*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     1120*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/3360 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (369*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/90 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (4*(11*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, 1, -1, -1, 4, Infinity] -> (113*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (1341*S[2, Infinity]^4)/16000 + 
   ((461*S[-1, Infinity]^2)/896 + (47*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((587*S[-1, Infinity]^3)/192 + (1405*S[-1, Infinity]*S[2, Infinity])/896 - 
     (681*S[3, Infinity])/64)*S[5, Infinity] - 
   (10883*S[-1, Infinity]*S[7, Infinity])/896 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 51*S[5, -1, -1, Infinity]))/
    14 + (-6080*S[-7, -1, Infinity] - 1651*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity])/640 + S[2, Infinity]^2*
    ((-3*S[-1, Infinity]^4)/320 + (3*S[-1, 1, 1, 1, Infinity])/8) + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/240 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (633*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    (-S[-1, Infinity]^6/240 + S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (29*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-1, 1, -1, -1, -4, Infinity] -> S[-1, Infinity]^8/192 + 
   (129*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (871149*S[2, Infinity]^4)/784000 + 
   ((167*S[-1, Infinity]^2)/224 + (1413*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((587*S[-1, Infinity]^3)/192 + 
     (41*S[-1, Infinity]*S[2, Infinity])/112 + (437*S[3, Infinity])/3584)*
    S[5, Infinity] - (10883*S[-1, Infinity]*S[7, Infinity])/896 + 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 51*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/112 + 
     (69*S[-1, 1, 1, 1, Infinity])/35) + 
   (-13520*S[-7, -1, Infinity] - 5003*S[5, 3, Infinity] - 
     5200*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] + 
     3360*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/840 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1081*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     S[-1, 1, 1, 1, 1, Infinity]/28) + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/240 + (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (41*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, -1, -2, 3, Infinity] -> S[-1, Infinity]^8/288 - 
   (319*S[-1, Infinity]^2*S[2, Infinity]^3)/480 + 
   (86087*S[2, Infinity]^4)/2352000 + 
   ((-73*S[-1, Infinity]^2)/64 + (9561*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((379*S[-1, Infinity]^3)/64 - 
     (803*S[-1, Infinity]*S[2, Infinity])/128 - (44283*S[3, Infinity])/3584)*
    S[5, Infinity] - (16217*S[-1, Infinity]*S[7, Infinity])/896 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/140 + 
     (89*S[-1, 1, 1, 1, Infinity])/35) + 
   (-795520*S[-7, -1, Infinity] - 146173*S[5, 3, Infinity] - 
     112640*S[-5, -1, -1, -1, Infinity] - 75520*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-79*S[-1, Infinity]^5)/3360 - 
     (103*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1729*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (271*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + (439*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -1, -2, -3, Infinity] -> (-31*S[-1, Infinity]^2*S[2, Infinity]^3)/
    30 + (4546907*S[2, Infinity]^4)/2352000 + 
   ((-209*S[-1, Infinity]^2)/128 + (3365*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((379*S[-1, Infinity]^3)/64 - 
     (59*S[-1, Infinity]*S[2, Infinity])/32 - (90959*S[3, Infinity])/3584)*
    S[5, Infinity] - (16217*S[-1, Infinity]*S[7, Infinity])/896 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    14 + (-110400*S[-7, -1, Infinity] - 27557*S[5, 3, Infinity] - 
     12480*S[-5, -1, -1, -1, Infinity] - 23360*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((69*S[-1, Infinity]^4)/560 + 
     (73*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/140 + (79*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (653*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (139*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + (299*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -1, -3, 2, Infinity] -> S[-1, Infinity]^8/192 + 
   (877*S[-1, Infinity]^2*S[2, Infinity]^3)/672 - 
   (187707*S[2, Infinity]^4)/156800 + 
   ((2899*S[-1, Infinity]^2)/448 + (1205*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-733*S[-1, Infinity]^3)/192 - 
     (4429*S[-1, Infinity]*S[2, Infinity])/448 + (23543*S[3, Infinity])/3584)*
    S[5, Infinity] - (2935*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(69*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((509*S[-1, Infinity]^4)/3360 + 
     (191*S[-1, 1, 1, 1, Infinity])/140) + 
   (83904*S[-7, -1, Infinity] + 11341*S[5, 3, Infinity] - 
     6912*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-421*S[-1, Infinity]^5)/1120 + 
     (137*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (977*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (29*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (62*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/240 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-1133*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, -1, -3, -2, Infinity] -> S[-1, Infinity]^8/288 + 
   (1279*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (175793*S[2, Infinity]^4)/156800 + 
   ((3187*S[-1, Infinity]^2)/896 - (5487*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-733*S[-1, Infinity]^3)/192 + 
     (5021*S[-1, Infinity]*S[2, Infinity])/448 + (44689*S[3, Infinity])/1792)*
    S[5, Infinity] - (2935*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (83*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(69*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((229*S[-1, Infinity]^4)/3360 + 
     (51*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (9664*S[-7, -1, Infinity] - 33*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 3072*S[-5, -1, 1, 1, Infinity] + 
     1792*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-409*S[-1, Infinity]^5)/3360 + 
     (269*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (8699*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (187*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (S[-5, -1, Infinity] - 
       42*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 1, -1, -4, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/84 + (407359*S[2, Infinity]^4)/
    2352000 + ((-3249*S[-1, Infinity]^2)/896 + (5295*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((575*S[-1, Infinity]^3)/96 - 
     (473*S[-1, Infinity]*S[2, Infinity])/224 - (995*S[3, Infinity])/56)*
    S[5, Infinity] - (33669*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (87*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-27*S[-1, Infinity]^4)/224 - 
     (45*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + (313*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-276800*S[-7, -1, Infinity] - 63563*S[5, 3, Infinity] - 
     42880*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((391*S[-1, Infinity]^5)/1680 - 
     (265*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (13061*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, 1, -1, -4, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (503*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (265943*S[2, Infinity]^4)/235200 + 
   ((-1235*S[-1, Infinity]^2)/448 + (57*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((575*S[-1, Infinity]^3)/96 + 
     (193*S[-1, Infinity]*S[2, Infinity])/224 + (1919*S[3, Infinity])/896)*
    S[5, Infinity] - (33669*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((103*S[-1, Infinity]^4)/1680 - 
     (103*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-8832*S[-7, -1, Infinity] - 853*S[5, 3, Infinity] - 
     1536*S[-5, -1, -1, -1, Infinity] + 1536*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/840 + 
     (167*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1191*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + (2*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -2, 3, 1, Infinity] -> (169*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (306109*S[2, Infinity]^4)/470400 + 
   ((-429*S[-1, Infinity]^2)/224 + (157*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/96 + 
     (381*S[-1, Infinity]*S[2, Infinity])/224 - (19637*S[3, Infinity])/3584)*
    S[5, Infinity] - (23879*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (6*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (76*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity]))/
    14 + (-87936*S[-7, -1, Infinity] - 4411*S[5, 3, Infinity] - 
     256*S[-5, -1, -1, -1, Infinity] - 19456*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/420 + 
     (38*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/42 - (5*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (937*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -2, 3, -1, Infinity] -> 
  (-3869*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (4185677*S[2, Infinity]^4)/2352000 + 
   ((-779*S[-1, Infinity]^2)/448 + (851*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((589*S[-1, Infinity]^3)/192 - 
     (417*S[-1, Infinity]*S[2, Infinity])/56 - (104761*S[3, Infinity])/3584)*
    S[5, Infinity] - (23879*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-29*S[-5, 1, 1, Infinity] + 27*S[5, -1, -1, Infinity]))/
    14 + (-1359360*S[-7, -1, Infinity] - 210673*S[5, 3, Infinity] - 
     93440*S[-5, -1, -1, -1, Infinity] - 220160*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((167*S[-1, Infinity]^4)/420 + 
     (86*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/56 - (31*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (21101*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (165*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + (242*S[-5, -1, Infinity])/7 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -2, 2, 2, Infinity] -> S[-1, Infinity]^8/288 - 
   (123*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1388377*S[2, Infinity]^4)/784000 + 
   ((-191*S[-1, Infinity]^2)/112 + (5111*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 + 
     (1091*S[-1, Infinity]*S[2, Infinity])/224 - (96451*S[3, Infinity])/3584)*
    S[5, Infinity] - (3401*S[-1, Infinity]*S[7, Infinity])/256 + 
   (12*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((107*S[-1, Infinity]^4)/560 + 
     (169*S[-1, 1, 1, 1, Infinity])/70) + 
   (-485440*S[-7, -1, Infinity] - 78549*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 153600*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-2*S[-1, Infinity]^5)/35 + 
     (4*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (171*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (149*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (515*S[-5, -1, Infinity] - 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, -2, 2, -2, Infinity] -> S[-1, Infinity]^8/72 - 
   (643*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (3050323*S[2, Infinity]^4)/784000 + 
   ((367*S[-1, Infinity]^2)/224 + (19609*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (18279*S[-1, Infinity]*S[2, Infinity])/448 + (1429*S[3, Infinity])/1792)*
    S[5, Infinity] - (3401*S[-1, Infinity]*S[7, Infinity])/256 + 
   (68*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/140 + 
     (74*S[-1, 1, 1, 1, Infinity])/35) + 
   (-432000*S[-7, -1, Infinity] - 118427*S[5, 3, Infinity] - 
     138240*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/112 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (23049*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-83*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, -2, 1, 3, Infinity] -> (787*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (622613*S[2, Infinity]^4)/1176000 + 
   ((61*S[-1, Infinity]^2)/448 - (2189*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 + 
     (1461*S[-1, Infinity]*S[2, Infinity])/224 + (249*S[3, Infinity])/56)*
    S[5, Infinity] + (715*S[-1, Infinity]*S[7, Infinity])/256 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (29*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   (27200*S[-7, -1, Infinity] + 9379*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity])/4480 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/840 + S[-1, 1, 1, 1, Infinity]/35) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/168 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (475*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -2, 1, -3, Infinity] -> 
  -S[-1, Infinity]^8/192 + (179*S[-1, Infinity]^2*S[2, Infinity]^3)/210 + 
   (164711*S[2, Infinity]^4)/117600 + 
   ((-37*S[-1, Infinity]^2)/224 - (5683*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 + 
     (1237*S[-1, Infinity]*S[2, Infinity])/112 - (9673*S[3, Infinity])/3584)*
    S[5, Infinity] + (715*S[-1, Infinity]*S[7, Infinity])/256 - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (39*S[2, Infinity]*S[-5, -1, Infinity])/56 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/2 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/280 - 
     (3*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (41728*S[-7, -1, Infinity] + 12191*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] - 4608*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/1120 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (4943*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (93*S[-1, 1, 1, 1, 1, Infinity])/28), S[-1, 1, -2, -1, 3, Infinity] -> 
  -S[-1, Infinity]^8/288 - (2567*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (2247241*S[2, Infinity]^4)/1176000 + 
   ((123*S[-1, Infinity]^2)/224 - (13889*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/32 + 
     (1509*S[-1, Infinity]*S[2, Infinity])/896 + (12535*S[3, Infinity])/896)*
    S[5, Infinity] + (42717*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/840 - 
     (86*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (40440*S[-7, -1, Infinity] + 6423*S[5, 3, Infinity] + 
     5840*S[-5, -1, -1, -1, Infinity] + 4240*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/224 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1333*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (275*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + 
     (-53*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 1, -2, -1, -3, Infinity] -> (1549*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (1764841*S[2, Infinity]^4)/2352000 + 
   ((375*S[-1, Infinity]^2)/224 + (8417*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 - 
     (15979*S[-1, Infinity]*S[2, Infinity])/448 - (13217*S[3, Infinity])/
      3584)*S[5, Infinity] + (42717*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (71*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 79*S[5, -1, -1, Infinity]))/
    14 + (-101440*S[-7, -1, Infinity] - 9791*S[5, 3, Infinity] - 
     12480*S[-5, -1, -1, -1, Infinity] - 5440*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/1680 + 
     (17*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((251*S[-1, Infinity]^5)/1680 - (551*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (13491*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-155*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, 1, -2, -2, 2, Infinity] -> -S[-1, Infinity]^8/96 + 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (3553223*S[2, Infinity]^4)/
    784000 + ((-69*S[-1, Infinity]^2)/28 - (2901*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((8621*S[-1, Infinity]*S[2, Infinity])/448 - 
     (15321*S[3, Infinity])/896)*S[5, Infinity] + 
   (4173*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((25*S[-1, Infinity]^4)/84 + (6*S[-1, 1, 1, 1, Infinity])/
      7) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*(3520*S[-7, -1, Infinity] - 4197*S[5, 3, Infinity] - 
      10880*S[-5, -1, -1, -1, Infinity] + 10880*S[-5, -1, 1, 1, Infinity] + 
      8960*S[-1, 1, 1, 1, Infinity]^2))/4480 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/84 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1557*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (130*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-115*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-1, 1, -2, -2, -2, Infinity] -> (-29*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (489163*S[2, Infinity]^4)/784000 + 
   ((-317*S[-1, Infinity]^2)/448 - (321*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((1489*S[-1, Infinity]*S[2, Infinity])/224 + 
     (123*S[3, Infinity])/112)*S[5, Infinity] + 
   (4173*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (9*(-3200*S[-7, -1, Infinity] + 1557*S[5, 3, Infinity] + 
      2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity]))/
    8960 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/210 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/1680 + (19*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (3357*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(45*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-1, 1, -2, -3, 1, Infinity] -> S[-1, Infinity]^8/192 - 
   (523*S[-1, Infinity]^2*S[2, Infinity]^3)/168 - 
   (1283731*S[2, Infinity]^4)/588000 + 
   ((-1907*S[-1, Infinity]^2)/896 + (7807*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((465*S[-1, Infinity]^3)/64 - 
     (12729*S[-1, Infinity]*S[2, Infinity])/448 - (41513*S[3, Infinity])/
      3584)*S[5, Infinity] - (3697*S[-1, Infinity]*S[7, Infinity])/448 + 
   (275*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (421*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*(24*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/84 + 
     (13*S[-1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-1056000*S[-7, -1, Infinity] - 215919*S[5, 3, Infinity] - 
     212480*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/560 - 
     (229*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (6511*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (123*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, 1, -2, -3, -1, Infinity] -> 
  (-349*S[-1, Infinity]^2*S[2, Infinity]^3)/240 - 
   (86171*S[2, Infinity]^4)/294000 + ((-489*S[-1, Infinity]^2)/128 + 
     (5877*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((775*S[-1, Infinity]^3)/96 - (719*S[-1, Infinity]*S[2, Infinity])/64 - 
     (5823*S[3, Infinity])/448)*S[5, Infinity] - 
   (3697*S[-1, Infinity]*S[7, Infinity])/448 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]*(24*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    14 + (2560*S[-7, -1, Infinity] - 8681*S[5, 3, Infinity] - 
     8320*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/35 - 
     (12*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/1680 - (541*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (193*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - (243*S[-5, -1, Infinity])/28 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -3, 2, 1, Infinity] -> -S[-1, Infinity]^8/192 + 
   (317*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (154123*S[2, Infinity]^4)/147000 + 
   ((5*S[-1, Infinity]^2)/7 - (3509*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-589*S[-1, Infinity]^3)/96 + (327*S[-1, Infinity]*S[2, Infinity])/28 + 
     (31499*S[3, Infinity])/3584)*S[5, Infinity] + 
   (49965*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (6*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-95*S[-1, Infinity]^4)/672 - 
     (31*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (46*S[-5, -1, Infinity])/7 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (676160*S[-7, -1, Infinity] + 117433*S[5, 3, Infinity] + 
     111360*S[-5, -1, -1, -1, Infinity] + 58880*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/672 - 
     (145*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (8607*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -3, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/96 + (1157*S[-1, Infinity]^2*S[2, Infinity]^3)/480 + 
   (2285359*S[2, Infinity]^4)/588000 + 
   ((-337*S[-1, Infinity]^2)/448 - (6313*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-961*S[-1, Infinity]^3)/192 + 
     (16091*S[-1, Infinity]*S[2, Infinity])/448 + (19429*S[3, Infinity])/
      3584)*S[5, Infinity] + (49965*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (123*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (6*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((101*S[-1, Infinity]^4)/420 - 
     (97*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (1363200*S[-7, -1, Infinity] + 307121*S[5, 3, Infinity] + 
     298240*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/672 + 
     (713*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (13189*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (S[-1, Infinity]^6/120 - (82*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -3, 1, 2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (110871*S[2, Infinity]^4)/
    98000 + ((-27*S[-1, Infinity]^2)/32 - (517*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 - 
     7*S[-1, Infinity]*S[2, Infinity] + (23895*S[3, Infinity])/1792)*
    S[5, Infinity] + (9259*S[-1, Infinity]*S[7, Infinity])/896 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/336 - 
     (23*S[-1, 1, 1, 1, Infinity])/14) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (48320*S[-7, -1, Infinity] + 21143*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((37*S[-1, Infinity]^5)/224 - 
     (115*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (87*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-97*S[-5, -1, Infinity] + 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, 1, -3, 1, -2, Infinity] -> -S[-1, Infinity]^8/576 - 
   (313*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (210281*S[2, Infinity]^4)/392000 + 
   ((-171*S[-1, Infinity]^2)/128 - (103*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 + 
     (99*S[-1, Infinity]*S[2, Infinity])/16 - (9645*S[3, Infinity])/3584)*
    S[5, Infinity] + (9259*S[-1, Infinity]*S[7, Infinity])/896 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/70 - (82*S[-1, 1, 1, 1, Infinity])/
      35) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (289280*S[-7, -1, Infinity] + 39171*S[5, 3, Infinity] + 
     49920*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((401*S[-1, Infinity]^5)/3360 - 
     (191*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (161*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (31*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/240 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-11*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-1, 1, -3, -1, 2, Infinity] -> S[-1, Infinity]^8/192 + 
   (641*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (21239*S[2, Infinity]^4)/39200 + ((-195*S[-1, Infinity]^2)/112 - 
     (817*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/32 + (8765*S[-1, Infinity]*S[2, Infinity])/448 + 
     (29815*S[3, Infinity])/1792)*S[5, Infinity] - 
   (4521*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*(S[-1, Infinity]^4/336 - 
     (15*S[-1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (60832*S[-7, -1, Infinity] + 14113*S[5, 3, Infinity] + 
     9216*S[-5, -1, -1, -1, Infinity] + 6912*S[-5, -1, 1, 1, Infinity] + 
     5376*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-223*S[-1, Infinity]^5)/3360 + 
     (9*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (1511*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (82*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-579*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, 1, -3, -1, -2, Infinity] -> S[-1, Infinity]^8/288 + 
   (263*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (1048749*S[2, Infinity]^4)/784000 + 
   ((-2019*S[-1, Infinity]^2)/896 - (10755*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 + 
     (2181*S[-1, Infinity]*S[2, Infinity])/56 + (17173*S[3, Infinity])/896)*
    S[5, Infinity] - (4521*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (159*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-209*S[-1, Infinity]^4)/560 - 
     (73*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (606080*S[-7, -1, Infinity] + 103701*S[5, 3, Infinity] + 
     78720*S[-5, -1, -1, -1, Infinity] + 64640*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-257*S[-1, Infinity]^5)/3360 + 
     (341*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (5389*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/360 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-495*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, 1, -3, -2, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (8429*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (1836143*S[2, Infinity]^4)/2352000 + 
   ((4289*S[-1, Infinity]^2)/896 - (33*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-465*S[-1, Infinity]^3)/64 + (6529*S[-1, Infinity]*S[2, Infinity])/448 + 
     (69273*S[3, Infinity])/3584)*S[5, Infinity] - 
   (7955*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (239*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (5*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((163*S[-1, Infinity]^4)/1120 - 
     (279*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (789*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (1113600*S[-7, -1, Infinity] + 151717*S[5, 3, Infinity] + 
     94720*S[-5, -1, -1, -1, Infinity] + 174080*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-57*S[-1, Infinity]^5)/280 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (24061*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (307*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, 1, -3, -2, -1, Infinity] -> 
  (34*S[-1, Infinity]^2*S[2, Infinity]^3)/15 - (5694191*S[2, Infinity]^4)/
    2352000 + ((167*S[-1, Infinity]^2)/32 - (471*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]^3)/96 + 
     (183*S[-1, Infinity]*S[2, Infinity])/16 + (65985*S[3, Infinity])/1792)*
    S[5, Infinity] - (7955*S[-1, Infinity]*S[7, Infinity])/1792 - 
   7*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (5*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    14 + (46720*S[-7, -1, Infinity] + 15583*S[5, 3, Infinity] + 
     4960*S[-5, -1, -1, -1, Infinity] + 12960*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((191*S[-1, Infinity]^4)/840 + 
     (19*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-197*S[-1, Infinity]^5)/1680 + (65*S[-1, Infinity]^3*S[2, Infinity])/
      42 + (13*S[-1, Infinity]*S[2, Infinity]^2)/2 + 
     (197*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 - (261*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, 1, -4, 1, 1, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity]^3)/3 + 
   (98009*S[2, Infinity]^4)/147000 + 
   ((-61*S[-1, Infinity]^2)/56 + (73*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/16 - (1083*S[-1, Infinity]*S[2, Infinity])/224 - 
     (3725*S[3, Infinity])/896)*S[5, Infinity] + 
   (467*S[-1, Infinity]*S[7, Infinity])/256 + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (26*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 + 
   (-117120*S[-7, -1, Infinity] - 18653*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 16640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/840 + 
     (97*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/420 - (13*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (163*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -4, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (37*S[-1, Infinity]^2*S[2, Infinity]^3)/60 - 
   (38419*S[2, Infinity]^4)/36750 + ((-171*S[-1, Infinity]^2)/112 + 
     (495*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/64 - (1515*S[-1, Infinity]*S[2, Infinity])/448 + 
     (2945*S[3, Infinity])/1792)*S[5, Infinity] + 
   (467*S[-1, Infinity]*S[7, Infinity])/256 + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-587*S[-1, Infinity]^4)/840 - 
     (191*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - (16*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (8320*S[-7, -1, Infinity] - 4583*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/140 - 
     (38*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (1087*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -4, -1, 1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/576 - (769*S[-1, Infinity]^2*S[2, Infinity]^3)/168 + 
   (2857577*S[2, Infinity]^4)/2352000 + 
   ((-1277*S[-1, Infinity]^2)/896 + (1923*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 - 
     (13177*S[-1, Infinity]*S[2, Infinity])/448 - (58717*S[3, Infinity])/
      1792)*S[5, Infinity] + (9637*S[-1, Infinity]*S[7, Infinity])/448 + 
   (177*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-18*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((757*S[-1, Infinity]^4)/1680 - 
     (127*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (759*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-546880*S[-7, -1, Infinity] - 96809*S[5, 3, Infinity] - 
     54400*S[-5, -1, -1, -1, Infinity] - 93440*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/280 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (30629*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (146*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -4, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (1481*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (5642591*S[2, Infinity]^4)/2352000 + 
   ((187*S[-1, Infinity]^2)/896 + (11671*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 - 
     (8667*S[-1, Infinity]*S[2, Infinity])/224 - (2397*S[3, Infinity])/56)*
    S[5, Infinity] + (9637*S[-1, Infinity]*S[7, Infinity])/448 + 
   (209*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-18*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    14 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((213*S[-1, Infinity]^4)/224 + 
     (75*S[-1, 1, 1, 1, Infinity])/28) + S[2, Infinity]*
    ((-5*S[-1, Infinity]^6)/48 + (981*S[-5, -1, Infinity])/28 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-756480*S[-7, -1, Infinity] - 139197*S[5, 3, Infinity] - 
     74880*S[-5, -1, -1, -1, Infinity] - 117760*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/105 - 
     (421*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (106*S[-1, Infinity]*S[2, Infinity]^2)/7 - 
     (184*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 4, 1, 1, Infinity] -> 
  (-47*S[-1, Infinity]^2*S[2, Infinity]^3)/210 - (737857*S[2, Infinity]^4)/
    1176000 + ((-51*S[-1, Infinity]^2)/56 + (165*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((341*S[-1, Infinity]^3)/96 - 
     (249*S[-1, Infinity]*S[2, Infinity])/56 - (11933*S[3, Infinity])/3584)*
    S[5, Infinity] - (61325*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (65*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] + 39*S[5, -1, -1, Infinity]))/
    14 + (-431680*S[-7, -1, Infinity] - 68049*S[5, 3, Infinity] - 
     70400*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/840 + 
     (11*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/420 - (11*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (8431*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (22*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 4, 1, -1, Infinity] -> 
  (-983*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (419063*S[2, Infinity]^4)/147000 + 
   ((-99*S[-1, Infinity]^2)/224 + (947*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((589*S[-1, Infinity]^3)/192 - 
     (3987*S[-1, Infinity]*S[2, Infinity])/448 + (18531*S[3, Infinity])/3584)*
    S[5, Infinity] - (61325*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-17*S[-5, 1, 1, Infinity] + 39*S[5, -1, -1, Infinity]))/
    14 + (-227840*S[-7, -1, Infinity] - 72753*S[5, 3, Infinity] - 
     88320*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-407*S[-1, Infinity]^4)/1680 - 
     (59*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (S[-1, Infinity]^6/48 - (34*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/70 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (453*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (34*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 4, -1, 1, Infinity] -> 
  (-17561*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (10687*S[2, Infinity]^4)/11760 + ((-1895*S[-1, Infinity]^2)/896 + 
     (25819*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((2821*S[-1, Infinity]^3)/192 - (23245*S[-1, Infinity]*S[2, Infinity])/
      448 - (98795*S[3, Infinity])/1792)*S[5, Infinity] - 
   (47679*S[-1, Infinity]*S[7, Infinity])/896 + 
   (435*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-300416*S[-7, -1, Infinity] - 61161*S[5, 3, Infinity] - 
     48896*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((221*S[-1, Infinity]^4)/1680 + 
     (152*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/48 + (1461*S[-5, -1, Infinity])/28 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((5*S[-1, Infinity]^5)/28 - 
     (901*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (50969*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (220*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 4, -1, -1, Infinity] -> 
  (-10753*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (2670163*S[2, Infinity]^4)/1176000 + 
   ((-2111*S[-1, Infinity]^2)/896 + (28097*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (1829*S[-1, Infinity]*S[2, Infinity])/28 - (12167*S[3, Infinity])/224)*
    S[5, Infinity] - (47679*S[-1, Infinity]*S[7, Infinity])/896 + 
   (509*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (1445*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-50620*S[-7, -1, Infinity] - 10379*S[5, 3, Infinity] - 
     9120*S[-5, -1, -1, -1, Infinity] - 4320*S[-5, -1, 1, 1, Infinity])/280 + 
   S[2, Infinity]^2*((69*S[-1, Infinity]^4)/280 + 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/35 - (477*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (15483*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 3, 2, 1, Infinity] -> 
  (1219*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (839681*S[2, Infinity]^4)/2352000 + 
   ((1005*S[-1, Infinity]^2)/448 - (3779*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (1635*S[-1, Infinity]*S[2, Infinity])/224 + (12965*S[3, Infinity])/896)*
    S[5, Infinity] + (12455*S[-1, Infinity]*S[7, Infinity])/448 - 
   (61*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (185*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity]))/
    14 + (204720*S[-7, -1, Infinity] + 42909*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] + 21760*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((17*S[-1, Infinity]^4)/420 - 
     (34*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/21 + (10*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (6331*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 3, 2, -1, Infinity] -> 
  (13007*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (1977751*S[2, Infinity]^4)/1176000 + 
   ((411*S[-1, Infinity]^2)/448 - (7549*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1271*S[-1, Infinity]^3)/192 + 
     (28391*S[-1, Infinity]*S[2, Infinity])/896 + (49533*S[3, Infinity])/
      1792)*S[5, Infinity] + (12455*S[-1, Infinity]*S[7, Infinity])/448 - 
   (127*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(46*S[-5, 1, 1, Infinity] - 73*S[5, -1, -1, Infinity]))/
    14 + (305920*S[-7, -1, Infinity] + 82953*S[5, 3, Infinity] + 
     74240*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(-S[-1, Infinity]^4/14 + 
     (12*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-123*S[-1, Infinity]^5)/560 + (829*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (3399*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (89*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 - (201*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 3, 1, 2, Infinity] -> (13*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (36977*S[2, Infinity]^4)/78400 + ((111*S[-1, Infinity]^2)/64 + 
     (365*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 - (483*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2561*S[3, Infinity])/3584)*S[5, Infinity] - 
   (4859*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    14 + (10336*S[-7, -1, Infinity] - 3211*S[5, 3, Infinity] - 
     2176*S[-5, -1, -1, -1, Infinity] + 7552*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-27*S[-1, Infinity]^4)/560 - 
     (59*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-29*S[-1, Infinity]^5)/672 + (47*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (69*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (145*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-299*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -1, 3, 1, -2, Infinity] -> (583*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1325539*S[2, Infinity]^4)/784000 + 
   ((159*S[-1, Infinity]^2)/128 - (367*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (877*S[-1, Infinity]*S[2, Infinity])/128 + (50891*S[3, Infinity])/3584)*
    S[5, Infinity] - (4859*S[-1, Infinity]*S[7, Infinity])/3584 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    14 + (296000*S[-7, -1, Infinity] + 82823*S[5, 3, Infinity] + 
     40960*S[-5, -1, -1, -1, Infinity] + 30720*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((47*S[-1, Infinity]^4)/840 - 
     (12*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/420 + (67*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (257*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-241*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, 3, -1, 2, Infinity] -> (2193*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (39507*S[2, Infinity]^4)/19600 + 
   ((47*S[-1, Infinity]^2)/8 - (933*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-1147*S[-1, Infinity]^3)/96 + (3563*S[-1, Infinity]*S[2, Infinity])/
      128 + (22049*S[3, Infinity])/448)*S[5, Infinity] + 
   (12937*S[-1, Infinity]*S[7, Infinity])/448 - 
   11*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (2*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + (57280*S[-7, -1, Infinity] + 9453*S[5, 3, Infinity] + 
     6144*S[-5, -1, -1, -1, Infinity] + 8192*S[-5, -1, 1, 1, Infinity])/448 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/35 - 
     (212*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/84 + (31*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (713*S[-1, Infinity]*S[2, Infinity]^2)/40 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (270*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - (347*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 3, -1, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (39*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (1002653*S[2, Infinity]^4)/
    784000 + ((4301*S[-1, Infinity]^2)/896 - (21555*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/16 + 
     (17307*S[-1, Infinity]*S[2, Infinity])/448 + (203157*S[3, Infinity])/
      3584)*S[5, Infinity] + (12937*S[-1, Infinity]*S[7, Infinity])/448 - 
   (415*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/140 - 
     (71*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (1300800*S[-7, -1, Infinity] + 263013*S[5, 3, Infinity] + 
     191360*S[-5, -1, -1, -1, Infinity] + 158080*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-1457*S[-1, Infinity]^5)/3360 + 
     (411*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (51027*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (897*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - (725*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 3, -2, 1, Infinity] -> (737*S[-1, Infinity]^2*S[2, Infinity]^3)/
    480 + (2078591*S[2, Infinity]^4)/2352000 + 
   ((59*S[-1, Infinity]^2)/128 - (13113*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1705*S[-1, Infinity]^3)/192 + 
     (1119*S[-1, Infinity]*S[2, Infinity])/64 + (42355*S[3, Infinity])/1792)*
    S[5, Infinity] + (91289*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (21*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (421*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity]))/
    7 + (1244160*S[-7, -1, Infinity] + 300661*S[5, 3, Infinity] + 
     257280*S[-5, -1, -1, -1, Infinity] + 56320*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/420 - 
     (22*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-211*S[-1, Infinity]^5)/3360 + (211*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (1309*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (211*S[-1, 1, 1, 1, 1, Infinity])/28), S[-1, -1, 3, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/96 + (85*S[-1, Infinity]^2*S[2, Infinity]^3)/168 + 
   (5827531*S[2, Infinity]^4)/1176000 + 
   ((337*S[-1, Infinity]^2)/448 - (3911*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (14459*S[-1, Infinity]*S[2, Infinity])/896 - (171*S[3, Infinity])/28)*
    S[5, Infinity] + (91289*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((71*S[-1, Infinity]^4)/168 - 
     (8*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (786560*S[-7, -1, Infinity] + 166627*S[5, 3, Infinity] + 
     220160*S[-5, -1, -1, -1, Infinity] - 32000*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((125*S[-1, Infinity]^5)/672 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (7307*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 + (23*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 2, 3, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (589*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (44599*S[2, Infinity]^4)/2352000 + 
   ((-11*S[-1, Infinity]^2)/56 + (69*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/6 + (229*S[-1, Infinity]*S[2, Infinity])/112 + 
     (489*S[3, Infinity])/1792)*S[5, Infinity] - 
   (137799*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 76*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/168 + 
     (16*S[-1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 + (145*S[-5, -1, Infinity])/14 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-324000*S[-7, -1, Infinity] - 38163*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] - 39680*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-55*S[-1, Infinity]^5)/336 + 
     (205*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (739*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 2, 3, -1, Infinity] -> 
  S[-1, Infinity]^8/72 + (32*S[-1, Infinity]^2*S[2, Infinity]^3)/105 - 
   (1897039*S[2, Infinity]^4)/1176000 + 
   ((649*S[-1, Infinity]^2)/448 + (6561*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((899*S[-1, Infinity]^3)/192 - 
     (1075*S[-1, Infinity]*S[2, Infinity])/56 - (14495*S[3, Infinity])/896)*
    S[5, Infinity] - (137799*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (38*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 76*S[5, -1, -1, Infinity]))/
    14 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-391*S[-1, Infinity]^4)/1344 + 
     (391*S[-1, 1, 1, 1, Infinity])/56) + 
   (-194560*S[-7, -1, Infinity] - 38711*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] - 14080*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-299*S[-1, Infinity]^5)/3360 - 
     (127*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (10967*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (74*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + (281*S[-5, -1, Infinity])/14 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 2, 2, 2, Infinity] -> S[-1, Infinity]^8/96 - 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (1117061*S[2, Infinity]^4)/
    784000 + ((-59*S[-1, Infinity]^2)/32 + (1765*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (247*S[-1, Infinity]*S[2, Infinity])/16 - (31505*S[3, Infinity])/1792)*
    S[5, Infinity] - (49541*S[-1, Infinity]*S[7, Infinity])/1792 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/105 + 
     (141*S[-1, 1, 1, 1, Infinity])/35) + 
   (-361120*S[-7, -1, Infinity] - 62701*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] - 81920*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-103*S[-1, Infinity]^5)/840 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/10 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (37*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/120 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (757*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -1, 2, 2, -2, Infinity] -> S[-1, Infinity]^8/144 - 
   (61*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (28787*S[2, Infinity]^4)/
    6125 + (-S[-1, Infinity]^2/32 + (15717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/24 - 
     (1541*S[-1, Infinity]*S[2, Infinity])/32 - (12571*S[3, Infinity])/896)*
    S[5, Infinity] - (49541*S[-1, Infinity]*S[7, Infinity])/1792 + 
   10*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-183*S[-1, Infinity]^4)/448 - 
     (67*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-275200*S[-7, -1, Infinity] - 79227*S[5, 3, Infinity] - 
     84480*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/560 - 
     (113*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (467*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(39*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-1, -1, 2, 1, 3, Infinity] -> S[-1, Infinity]^8/192 + 
   (1219*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (1419833*S[2, Infinity]^4)/2352000 + 
   ((351*S[-1, Infinity]^2)/224 - (37*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/16 + (963*S[-1, Infinity]*S[2, Infinity])/448 + 
     (535*S[3, Infinity])/896)*S[5, Infinity] - 
   (11223*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((281*S[-1, Infinity]^4)/1680 + 
     (17*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - (22*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (118080*S[-7, -1, Infinity] + 33483*S[5, 3, Infinity] + 
     43520*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-153*S[-1, Infinity]^5)/1120 + 
     (111*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (729*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 2, 1, -3, Infinity] -> 
  -S[-1, Infinity]^8/192 + (5051*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (130073*S[2, Infinity]^4)/147000 + 
   ((81*S[-1, Infinity]^2)/64 - (1977*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/96 + (1753*S[-1, Infinity]*S[2, Infinity])/128 + 
     (2193*S[3, Infinity])/448)*S[5, Infinity] - 
   (11223*S[-1, Infinity]*S[7, Infinity])/3584 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(17*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    14 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((703*S[-1, Infinity]^4)/6720 + 
     (557*S[-1, 1, 1, 1, Infinity])/280) + 
   (108960*S[-7, -1, Infinity] + 35839*S[5, 3, Infinity] + 
     40960*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-199*S[-1, Infinity]^5)/3360 + 
     (257*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (151*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 2, -1, 3, Infinity] -> 
  (-6697*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (608053*S[2, Infinity]^4)/147000 + 
   ((-397*S[-1, Infinity]^2)/448 + (475*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/96 - 
     (185*S[-1, Infinity]*S[2, Infinity])/448 - (893*S[3, Infinity])/448)*
    S[5, Infinity] - (2885*S[-1, Infinity]*S[7, Infinity])/128 + 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
   (-78560*S[-7, -1, Infinity] - 15221*S[5, 3, Infinity] - 
     11520*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-979*S[-1, Infinity]^4)/6720 + 
     (419*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-127*S[-1, Infinity]^5)/3360 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (545*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (145*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, 2, -1, -3, Infinity] -> S[-1, Infinity]^8/576 - 
   (109*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (10406561*S[2, Infinity]^4)/2352000 + 
   ((359*S[-1, Infinity]^2)/448 + (12263*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/16 - 
     (12395*S[-1, Infinity]*S[2, Infinity])/224 - (34203*S[3, Infinity])/896)*
    S[5, Infinity] - (2885*S[-1, Infinity]*S[7, Infinity])/128 + 
   (60*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((169*S[-1, Infinity]^4)/840 + 
     (47*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-693920*S[-7, -1, Infinity] - 172667*S[5, 3, Infinity] - 
     153600*S[-5, -1, -1, -1, Infinity] - 34560*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/1120 - 
     (145*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (17901*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (124*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-137*S[-5, -1, Infinity] + 672*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, -1, 2, -2, 2, Infinity] -> -S[-1, Infinity]^8/144 + 
   (2873*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (826471*S[2, Infinity]^4)/196000 + 
   ((69*S[-1, Infinity]^2)/32 - (755*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((627*S[-1, Infinity]*S[2, Infinity])/32 - (8861*S[3, Infinity])/896)*
    S[5, Infinity] - (33539*S[-1, Infinity]*S[7, Infinity])/1792 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((2351*S[-1, Infinity]^4)/6720 + 
     (1569*S[-1, 1, 1, 1, Infinity])/280) + 
   (-24320*S[-7, -1, Infinity] + 7083*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-269*S[-1, Infinity]^5)/1680 + 
     (183*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (201*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (128*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/180 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (2*(-29*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, -1, 2, -2, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (639*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (842081*S[2, Infinity]^4)/392000 + 
   ((1067*S[-1, Infinity]^2)/448 - (291*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((621*S[-1, Infinity]*S[2, Infinity])/112 + 
     (10331*S[3, Infinity])/1792)*S[5, Infinity] - 
   (33539*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((173*S[-1, Infinity]^4)/1344 + 
     (107*S[-1, 1, 1, 1, Infinity])/56) + 
   (-56320*S[-7, -1, Infinity] + 2997*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-15*S[-1, Infinity]^5)/56 + 
     (10*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1163*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (85*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2*(17*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, -1, 2, -3, 1, Infinity] -> (-883*S[-1, Infinity]^2*S[2, Infinity]^3)/
    240 - (873407*S[2, Infinity]^4)/336000 + 
   ((-495*S[-1, Infinity]^2)/128 + (1587*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((1705*S[-1, Infinity]^3)/192 - 
     (1975*S[-1, Infinity]*S[2, Infinity])/64 - (10555*S[3, Infinity])/512)*
    S[5, Infinity] - (1965*S[-1, Infinity]*S[7, Infinity])/128 + 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   2*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
   (-174080*S[-7, -1, Infinity] - 38057*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*((-167*S[-1, Infinity]^4)/480 - 
     (13*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (S[-1, Infinity]^6/16 + (67*S[-5, -1, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/480 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (4551*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     13*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, 2, -3, -1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/576 - (4297*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 + (2057627*S[2, Infinity]^4)/1176000 + 
   ((-4925*S[-1, Infinity]^2)/896 + (2963*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 + 
     (157*S[-1, Infinity]*S[2, Infinity])/448 - (92319*S[3, Infinity])/3584)*
    S[5, Infinity] - (1965*S[-1, Infinity]*S[7, Infinity])/128 + 
   (103*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   2*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((71*S[-1, Infinity]^4)/336 - 
     (25*S[-1, 1, 1, 1, Infinity])/7) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-153280*S[-7, -1, Infinity] - 49361*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 74240*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((16*S[-1, Infinity]^5)/105 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (6037*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (93*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 + (225*S[-5, -1, Infinity])/28 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 1, 4, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (881*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (802769*S[2, Infinity]^4)/588000 + 
   (S[-1, Infinity]^2/14 + (173*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/64 - (3751*S[-1, Infinity]*S[2, Infinity])/448 - 
     (37605*S[3, Infinity])/3584)*S[5, Infinity] + 
   (141*S[-1, Infinity]*S[7, Infinity])/16 + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[-1, Infinity]*S[5, -1, -1, Infinity] + S[2, Infinity]^2*
    ((-643*S[-1, Infinity]^4)/3360 + (13*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 + (89*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-233280*S[-7, -1, Infinity] - 104789*S[5, 3, Infinity] - 
     49920*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((299*S[-1, Infinity]^5)/3360 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (8611*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 1, 4, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (5917*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (1724059*S[2, Infinity]^4)/1176000 + 
   (S[-1, Infinity]^2/448 + (475*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   (S[-1, Infinity]^3/64 - (11441*S[-1, Infinity]*S[2, Infinity])/896 - 
     (74097*S[3, Infinity])/3584)*S[5, Infinity] + 
   (141*S[-1, Infinity]*S[7, Infinity])/16 + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[-1, Infinity]*S[5, -1, -1, Infinity] + S[2, Infinity]^2*
    ((2909*S[-1, Infinity]^4)/6720 - (389*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-695040*S[-7, -1, Infinity] - 123667*S[5, 3, Infinity] - 
     55040*S[-5, -1, -1, -1, Infinity] - 115200*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/210 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (14737*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (187*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + (132*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 1, 3, 2, Infinity] -> -S[-1, Infinity]^8/192 + 
   (433*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (931991*S[2, Infinity]^4)/588000 + 
   ((-2123*S[-1, Infinity]^2)/896 - (45*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-17*S[-1, Infinity]^3)/64 + (285*S[-1, Infinity]*S[2, Infinity])/56 + 
     (15733*S[3, Infinity])/896)*S[5, Infinity] + 
   (2875*S[-1, Infinity]*S[7, Infinity])/512 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-373*S[-1, Infinity]^4)/3360 + 
     (23*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (114880*S[-7, -1, Infinity] + 147831*S[5, 3, Infinity] + 
     72960*S[-5, -1, -1, -1, Infinity] - 19200*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((431*S[-1, Infinity]^5)/3360 - 
     (151*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2949*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (151*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/80 + (39*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 1, 3, -2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (2719*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (127661*S[2, Infinity]^4)/84000 + 
   ((-55*S[-1, Infinity]^2)/32 - (173*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-17*S[-1, Infinity]^3)/64 - (153*S[-1, Infinity]*S[2, Infinity])/128 + 
     (257*S[3, Infinity])/64)*S[5, Infinity] + 
   (2875*S[-1, Infinity]*S[7, Infinity])/512 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/960 - 
     (137*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (6320*S[-7, -1, Infinity] + 1549*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((49*S[-1, Infinity]^5)/240 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (97*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((13*S[-1, Infinity]^6)/240 - (13*S[-5, -1, Infinity])/4 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, 1, 2, 3, Infinity] -> -S[-1, Infinity]^8/192 + 
   (169*S[-1, Infinity]^2*S[2, Infinity]^3)/420 + 
   (94287*S[2, Infinity]^4)/49000 + ((309*S[-1, Infinity]^2)/224 + 
     (25*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-661*S[-1, Infinity]^3)/192 - (1161*S[-1, Infinity]*S[2, Infinity])/
      112 + (2081*S[3, Infinity])/1792)*S[5, Infinity] + 
   (2231*S[-1, Infinity]*S[7, Infinity])/112 + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-22*S[-1, Infinity]^4)/105 - 
     (103*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (214080*S[-7, -1, Infinity] - 44839*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] + 78080*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((103*S[-1, Infinity]^5)/1120 - 
     (295*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (4883*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-89*S[-5, -1, Infinity] + 84*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, 1, 2, -3, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity]^3)/240 - 
   (89241*S[2, Infinity]^4)/392000 + 
   ((69*S[-1, Infinity]^2)/112 - (1195*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-661*S[-1, Infinity]^3)/192 + 
     (6837*S[-1, Infinity]*S[2, Infinity])/896 + (25545*S[3, Infinity])/3584)*
    S[5, Infinity] + (2231*S[-1, Infinity]*S[7, Infinity])/112 - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(26*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 + (529280*S[-7, -1, Infinity] + 109779*S[5, 3, Infinity] + 
     72960*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((163*S[-1, Infinity]^4)/1344 - 
     (107*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/672 + (47*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1857*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (145*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-79*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-1, -1, 1, 1, 4, Infinity] -> S[-1, Infinity]^8/576 - 
   (151*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (19849*S[2, Infinity]^4)/98000 + ((-885*S[-1, Infinity]^2)/896 + 
     (2535*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((247*S[-1, Infinity]^3)/96 - (187*S[-1, Infinity]*S[2, Infinity])/224 - 
     (24925*S[3, Infinity])/3584)*S[5, Infinity] - 
   (40669*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((2*S[-1, Infinity]^4)/21 + 
     (113*S[-1, 1, 1, 1, Infinity])/70) + 
   (-543680*S[-7, -1, Infinity] - 55239*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] - 90880*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(S[-1, Infinity]^5/105 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (4323*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (137*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (205*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, -1, 1, 1, -4, Infinity] -> (-423*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (98897*S[2, Infinity]^4)/392000 + 
   ((-51*S[-1, Infinity]^2)/64 + (111*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((247*S[-1, Infinity]^3)/96 - (413*S[-1, Infinity]*S[2, Infinity])/64 - 
     (8647*S[3, Infinity])/896)*S[5, Infinity] - 
   (40669*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 + (-78480*S[-7, -1, Infinity] - 22223*S[5, 3, Infinity] - 
     14720*S[-5, -1, -1, -1, Infinity] - 5440*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-481*S[-1, Infinity]^4)/6720 + 
     (103*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((61*S[-1, Infinity]^5)/3360 - 
     (131*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (541*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (83*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/180 - S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (171*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, 1, -1, 4, Infinity] -> (-559*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (31131*S[2, Infinity]^4)/784000 + 
   (S[-1, Infinity]^2/32 + (531*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((23*S[-1, Infinity]^3)/24 - (207*S[-1, Infinity]*S[2, Infinity])/32 - 
     (5427*S[3, Infinity])/896)*S[5, Infinity] + 
   (179*S[-1, Infinity]*S[7, Infinity])/224 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    14 + (-32640*S[-7, -1, Infinity] - 3209*S[5, 3, Infinity] - 
     20480*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(-S[-1, Infinity]^4/560 + 
     (27*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    (S[-1, Infinity]^5/672 - (S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (121*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (75*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-67*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, 1, -1, -4, Infinity] -> S[-1, Infinity]^8/576 - 
   (211*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (929079*S[2, Infinity]^4)/784000 + 
   ((-143*S[-1, Infinity]^2)/896 - (447*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]^3)/24 + 
     (1437*S[-1, Infinity]*S[2, Infinity])/224 - (3391*S[3, Infinity])/896)*
    S[5, Infinity] + (179*S[-1, Infinity]*S[7, Infinity])/224 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/3360 + 
     (149*S[-1, 1, 1, 1, Infinity])/140) + 
   (-18440*S[-7, -1, Infinity] - 4523*S[5, 3, Infinity] - 
     1040*S[-5, -1, -1, -1, Infinity] - 4000*S[-5, -1, 1, 1, Infinity] + 
     1120*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/140 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1719*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (23*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(33*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, -1, 1, -2, 3, Infinity] -> (-901*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 + (783021*S[2, Infinity]^4)/784000 + 
   ((-75*S[-1, Infinity]^2)/32 + (1173*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((517*S[-1, Infinity]^3)/192 - 
     (127*S[-1, Infinity]*S[2, Infinity])/16 - (48947*S[3, Infinity])/3584)*
    S[5, Infinity] - (8857*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    14 + (-348160*S[-7, -1, Infinity] - 92677*S[5, 3, Infinity] - 
     42240*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/2240 - 
     (223*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/140 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (87*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (141*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (6*(-5*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, -1, 1, -2, -3, Infinity] -> -S[-1, Infinity]^8/192 - 
   (1403*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (1122411*S[2, Infinity]^4)/392000 + 
   ((-345*S[-1, Infinity]^2)/128 - (3057*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((517*S[-1, Infinity]^3)/192 + 
     (281*S[-1, Infinity]*S[2, Infinity])/64 + (25715*S[3, Infinity])/3584)*
    S[5, Infinity] - (8857*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-36*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/560 + 
     S[-1, 1, 1, 1, Infinity]/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-276480*S[-7, -1, Infinity] + 50249*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((101*S[-1, Infinity]^5)/672 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (5*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (95*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (379*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -1, 1, -3, 2, Infinity] -> S[-1, Infinity]^8/288 - 
   (115*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (1595903*S[2, Infinity]^4)/1176000 + 
   ((-81*S[-1, Infinity]^2)/224 - (715*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-113*S[-1, Infinity]^3)/192 + 
     (2341*S[-1, Infinity]*S[2, Infinity])/896 - (28807*S[3, Infinity])/3584)*
    S[5, Infinity] + (7827*S[-1, Infinity]*S[7, Infinity])/896 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((319*S[-1, Infinity]^4)/6720 + 
     (101*S[-1, 1, 1, 1, Infinity])/280) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-5120*S[-7, -1, Infinity] - 6039*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/560 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (181*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/36 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (251*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, 1, -3, -2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (2473*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (4610629*S[2, Infinity]^4)/2352000 + 
   ((439*S[-1, Infinity]^2)/896 + (3709*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-113*S[-1, Infinity]^3)/192 - 
     (611*S[-1, Infinity]*S[2, Infinity])/56 - (22219*S[3, Infinity])/1792)*
    S[5, Infinity] + (7827*S[-1, Infinity]*S[7, Infinity])/896 + 
   (69*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-269*S[-1, Infinity]^4)/6720 - 
     (151*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-220160*S[-7, -1, Infinity] - 133971*S[5, 3, Infinity] - 
     64000*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/1120 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (9329*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (59*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/144 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (19*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, -1, 1, -4, 1, Infinity] -> (259*S[-1, Infinity]^2*S[2, Infinity]^3)/
    240 - (1969421*S[2, Infinity]^4)/1176000 + 
   ((2565*S[-1, Infinity]^2)/896 - (5349*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-317*S[-1, Infinity]^3)/48 + 
     (1657*S[-1, Infinity]*S[2, Infinity])/224 + (72371*S[3, Infinity])/3584)*
    S[5, Infinity] + (18651*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (149*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (571*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 + (454400*S[-7, -1, Infinity] + 85709*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 58880*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/224 - 
     (69*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/280 + (163*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (1031*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (403*S[-1, 1, 1, 1, 1, Infinity])/28), S[-1, -1, 1, -4, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/576 + (947*S[-1, Infinity]^2*S[2, Infinity]^3)/336 - 
   (3752311*S[2, Infinity]^4)/2352000 + 
   ((493*S[-1, Infinity]^2)/224 - (1437*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-317*S[-1, Infinity]^3)/48 + 
     (20359*S[-1, Infinity]*S[2, Infinity])/896 + (143727*S[3, Infinity])/
      3584)*S[5, Infinity] + (18651*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/14 + 
     (15*S[-1, 1, 1, 1, Infinity])/14) + 
   (687040*S[-7, -1, Infinity] + 145007*S[5, 3, Infinity] + 
     83840*S[-5, -1, -1, -1, Infinity] + 90880*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-673*S[-1, Infinity]^5)/3360 + 
     (145*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (173*S[-1, Infinity]*S[2, Infinity]^2)/14 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (603*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - (403*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, -1, 4, 1, Infinity] -> (493*S[-1, Infinity]^2*S[2, Infinity]^3)/
    420 - (1696729*S[2, Infinity]^4)/2352000 + 
   ((2335*S[-1, Infinity]^2)/896 - (8187*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-727*S[-1, Infinity]^3)/96 + 
     (2011*S[-1, Infinity]*S[2, Infinity])/224 + (80233*S[3, Infinity])/3584)*
    S[5, Infinity] + (51277*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (131*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (499*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (1018880*S[-7, -1, Infinity] + 214201*S[5, 3, Infinity] + 
     147200*S[-5, -1, -1, -1, Infinity] + 94720*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((37*S[-1, Infinity]^4)/840 - 
     (37*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/420 + (27*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (18189*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (74*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -1, 4, -1, Infinity] -> 
  (3277*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (1477139*S[2, Infinity]^4)/588000 + 
   ((69*S[-1, Infinity]^2)/112 - (451*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-727*S[-1, Infinity]^3)/96 + (7969*S[-1, Infinity]*S[2, Infinity])/224 + 
     (36311*S[3, Infinity])/1792)*S[5, Infinity] + 
   (51277*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (121*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (255*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (780160*S[-7, -1, Infinity] + 165863*S[5, 3, Infinity] + 
     144640*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/840 - 
     (34*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-17*S[-1, Infinity]^5)/210 + (503*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (15663*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (68*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -1, 3, 2, Infinity] -> 
  (-2509*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (71203*S[2, Infinity]^4)/84000 + ((-21*S[-1, Infinity]^2)/8 + 
     (5*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((107*S[-1, Infinity]^3)/64 + (31*S[-1, Infinity]*S[2, Infinity])/8 - 
     (883*S[3, Infinity])/128)*S[5, Infinity] - 
   (965*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   12*S[2, Infinity]*S[-5, -1, Infinity] + 2*S[-1, Infinity]*
    S[-5, 1, 1, Infinity] + (-6720*S[-7, -1, Infinity] - 
     1341*S[5, 3, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/320 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/30 + (4*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(S[-1, Infinity]^5/15 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (141*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, -1, 3, -2, Infinity] -> 
  (-853*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (46163*S[2, Infinity]^4)/48000 + ((-31*S[-1, Infinity]^2)/128 + 
     (1081*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((107*S[-1, Infinity]^3)/64 - (1501*S[-1, Infinity]*S[2, Infinity])/64 - 
     (7811*S[3, Infinity])/512)*S[5, Infinity] - 
   (965*S[-1, Infinity]*S[7, Infinity])/128 + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (7*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   2*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (-84480*S[-7, -1, Infinity] - 13721*S[5, 3, Infinity] - 
     11520*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(-S[-1, Infinity]^4/60 + 
     (2*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/30 - (17*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (1907*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, -1, 2, 3, Infinity] -> 
  (-979*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (222373*S[2, Infinity]^4)/392000 + 
   ((21*S[-1, Infinity]^2)/64 + (2325*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((331*S[-1, Infinity]^3)/192 - (17*S[-1, Infinity]*S[2, Infinity])/2 - 
     (6537*S[3, Infinity])/896)*S[5, Infinity] - 
   (16039*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + (-14480*S[-7, -1, Infinity] - 3537*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((89*S[-1, Infinity]^4)/1680 + 
     (51*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (-S[-1, Infinity]^5/168 + (5*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (207*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (30*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-5*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, -1, 2, -3, Infinity] -> S[-1, Infinity]^8/288 - 
   (353*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (1315649*S[2, Infinity]^4)/784000 + 
   ((-3*S[-1, Infinity]^2)/128 - (2217*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((331*S[-1, Infinity]^3)/192 + 
     (617*S[-1, Infinity]*S[2, Infinity])/64 + (9671*S[3, Infinity])/3584)*
    S[5, Infinity] - (16039*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/112 + 
     (13*S[-1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-160000*S[-7, -1, Infinity] - 20647*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] - 20480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/140 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (403*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (323*S[-5, -1, Infinity] - 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -1, -1, 1, 4, Infinity] -> (-277*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (282789*S[2, Infinity]^4)/392000 + 
   ((-411*S[-1, Infinity]^2)/448 - (2231*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-125*S[-1, Infinity]^3)/96 + 
     (1513*S[-1, Infinity]*S[2, Infinity])/896 + (27843*S[3, Infinity])/3584)*
    S[5, Infinity] + (5451*S[-1, Infinity]*S[7, Infinity])/896 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + (117760*S[-7, -1, Infinity] + 37411*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-117*S[-1, Infinity]^4)/2240 - 
     (167*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/840 - 
     (95*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (873*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/72 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (23*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, -1, 1, -4, Infinity] -> -S[-1, Infinity]^8/144 - 
   (123*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (1181*S[2, Infinity]^4)/14000 + ((-489*S[-1, Infinity]^2)/896 + 
     (191*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-125*S[-1, Infinity]^3)/96 - (4381*S[-1, Infinity]*S[2, Infinity])/448 - 
     (2643*S[3, Infinity])/512)*S[5, Infinity] + 
   (5451*S[-1, Infinity]*S[7, Infinity])/896 + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/160 - 
     (43*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-6720*S[-7, -1, Infinity] - 981*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] - 2560*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/20 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (4603*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (17*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/18 + S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     2*S[-1, 1, 1, 1, 1, 1, Infinity]), S[-1, -1, -1, -1, 4, Infinity] -> 
  (-179*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (380353*S[2, Infinity]^4)/784000 + 
   ((669*S[-1, Infinity]^2)/896 + (3029*S[2, Infinity])/896)*
    S[3, Infinity]^2 + (-S[-1, Infinity]^3/3 - 
     (605*S[-1, Infinity]*S[2, Infinity])/56 - (12359*S[3, Infinity])/3584)*
    S[5, Infinity] - 5*S[-1, Infinity]*S[7, Infinity] + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (27*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (-305920*S[-7, -1, Infinity] - 64879*S[5, 3, Infinity] - 
     47360*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*(S[-1, Infinity]^4/56 - 
     S[-1, 1, 1, 1, Infinity]/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/420 - (17*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1139*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -1, -1, -4, Infinity] -> 
  (-7*S[-1, Infinity]^4*S[2, Infinity]^2)/480 - 
   (71*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - (647*S[2, Infinity]^4)/800 + 
   ((S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (81*S[-1, Infinity]*S[2, Infinity]^2)/80)*S[3, Infinity] + 
   ((3*S[-1, Infinity]^2)/8 + S[2, Infinity]/32)*S[3, Infinity]^2 + 
   (-S[-1, Infinity]^3/3 - (S[-1, Infinity]*S[2, Infinity])/16 + 
     (25*S[3, Infinity])/8)*S[5, Infinity] - 5*S[-1, Infinity]*
    S[7, Infinity], S[-1, -1, -1, -2, 3, Infinity] -> 
  -S[-1, Infinity]^8/288 + (31*S[-1, Infinity]^2*S[2, Infinity]^3)/168 + 
   (673921*S[2, Infinity]^4)/784000 + 
   ((503*S[-1, Infinity]^2)/448 + (2971*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-117*S[-1, Infinity]^3)/64 - 
     (9851*S[-1, Infinity]*S[2, Infinity])/448 - (809*S[3, Infinity])/112)*
    S[5, Infinity] + (1535*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((27*S[-1, Infinity]^4)/280 - 
     (46*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-41760*S[-7, -1, Infinity] - 17051*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((2*S[-1, Infinity]^5)/35 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (124*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-417*S[-5, -1, Infinity] + 
       448*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -1, -1, -2, -3, Infinity] -> (143*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (613449*S[2, Infinity]^4)/392000 + 
   ((23*S[-1, Infinity]^2)/64 - (2255*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-117*S[-1, Infinity]^3)/64 + (157*S[-1, Infinity]*S[2, Infinity])/16 + 
     (22377*S[3, Infinity])/1792)*S[5, Infinity] + 
   (1535*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + (14480*S[-7, -1, Infinity] + 2921*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/1680 - 
     (51*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/3360 - (S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (57*S[-1, Infinity]*S[2, Infinity]^2)/20 - S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (183*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (5*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, -1, -3, 2, Infinity] -> (167*S[-1, Infinity]^2*S[2, Infinity]^3)/
    210 - (2184233*S[2, Infinity]^4)/2352000 + 
   ((621*S[-1, Infinity]^2)/896 - (5347*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-361*S[-1, Infinity]^3)/192 + 
     (4387*S[-1, Infinity]*S[2, Infinity])/448 + (59453*S[3, Infinity])/3584)*
    S[5, Infinity] - (211*S[-1, Infinity]*S[7, Infinity])/128 - 
   (85*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   2*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (314240*S[-7, -1, Infinity] + 89647*S[5, 3, Infinity] + 
     55040*S[-5, -1, -1, -1, Infinity] + 43520*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/140 - 
     (17*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-17*S[-1, Infinity]^5)/420 + (103*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (8353*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (34*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 
     (-61*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, -1, -1, -3, -2, Infinity] -> (919*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (133409*S[2, Infinity]^4)/84000 + 
   ((23*S[-1, Infinity]^2)/8 - (7*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-361*S[-1, Infinity]^3)/192 - (S[-1, Infinity]*S[2, Infinity])/8 + 
     (1467*S[3, Infinity])/128)*S[5, Infinity] - 
   (211*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   2*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (6720*S[-7, -1, Infinity] + 1053*S[5, 3, Infinity] + 
     1280*S[-5, -1, 1, 1, Infinity])/320 + S[2, Infinity]^2*
    ((13*S[-1, Infinity]^4)/240 - (4*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (199*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/720 + (-87*S[-5, -1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-1, -1, -1, -4, 1, Infinity] -> (-793*S[-1, Infinity]^2*S[2, Infinity]^3)/
    840 - (1370941*S[2, Infinity]^4)/2352000 + 
   ((-69*S[-1, Infinity]^2)/64 + (3685*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((809*S[-1, Infinity]^3)/192 - 
     (941*S[-1, Infinity]*S[2, Infinity])/64 - (27805*S[3, Infinity])/1792)*
    S[5, Infinity] - (37197*S[-1, Infinity]*S[7, Infinity])/1792 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (241*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 39*S[5, -1, -1, Infinity]))/
    14 + (-393440*S[-7, -1, Infinity] - 67843*S[5, 3, Infinity] - 
     58880*S[-5, -1, -1, -1, Infinity] - 26240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/1680 + 
     (41*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((41*S[-1, Infinity]^5)/840 - (55*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1103*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -1, -4, -1, Infinity] -> 
  (-2687*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (2953463*S[2, Infinity]^4)/1176000 + 
   ((-605*S[-1, Infinity]^2)/448 + (5181*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((809*S[-1, Infinity]^3)/192 - 
     (13607*S[-1, Infinity]*S[2, Infinity])/448 - (181*S[3, Infinity])/14)*
    S[5, Infinity] - (37197*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (114*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 39*S[5, -1, -1, Infinity]))/
    14 + (-165600*S[-7, -1, Infinity] - 31637*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/280 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 - (83*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (2651*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -2, 3, 1, Infinity] -> 
  S[-1, Infinity]^8/96 + (5633*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (1833287*S[2, Infinity]^4)/2352000 + 
   ((3513*S[-1, Infinity]^2)/448 - (4583*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-589*S[-1, Infinity]^3)/64 + 
     (7887*S[-1, Infinity]*S[2, Infinity])/448 + (31621*S[3, Infinity])/896)*
    S[5, Infinity] + (8255*S[-1, Infinity]*S[7, Infinity])/896 - 
   (123*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (10*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/140 + 
     (93*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 - (719*S[-5, -1, Infinity])/28 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (620640*S[-7, -1, Infinity] + 122489*S[5, 3, Infinity] + 
     74240*S[-5, -1, -1, -1, Infinity] + 73600*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/84 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (548*S[-1, Infinity]*S[2, Infinity]^2)/35 + 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (150*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, -2, 3, -1, Infinity] -> S[-1, Infinity]^8/144 + 
   (6577*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (1489001*S[2, Infinity]^4)/2352000 + 
   ((5225*S[-1, Infinity]^2)/896 - (5511*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (6219*S[-1, Infinity]*S[2, Infinity])/448 + (90471*S[3, Infinity])/3584)*
    S[5, Infinity] + (8255*S[-1, Infinity]*S[7, Infinity])/896 - 
   (163*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (10*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/168 + 
     (11*S[-1, 1, 1, 1, Infinity])/7) + 
   (563200*S[-7, -1, Infinity] + 107909*S[5, 3, Infinity] + 
     42240*S[-5, -1, -1, -1, Infinity] + 92160*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-71*S[-1, Infinity]^5)/420 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (15201*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (107*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - (323*S[-5, -1, Infinity])/28 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, -2, 2, 2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (1257*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (857349*S[2, Infinity]^4)/392000 + 
   ((-177*S[-1, Infinity]^2)/16 - (8415*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/24 + 
     (787*S[-1, Infinity]*S[2, Infinity])/32 + (10373*S[3, Infinity])/896)*
    S[5, Infinity] + (148171*S[-1, Infinity]*S[7, Infinity])/1792 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/112 - 
     (97*S[-1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (275200*S[-7, -1, Infinity] + 77141*S[5, 3, Infinity] + 
     84480*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((307*S[-1, Infinity]^5)/420 - 
     (773*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (139*S[-1, Infinity]*S[2, Infinity]^2)/160 - 18*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (16*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((67*S[-1, Infinity]^6)/360 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2*(13*S[-5, -1, Infinity] - 
        28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, -1, -2, 2, -2, Infinity] -> -S[-1, Infinity]^8/48 + 
   (1011*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (793627*S[2, Infinity]^4)/78400 + 
   ((-181*S[-1, Infinity]^2)/32 - (71*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 + (243*S[-1, Infinity]*S[2, Infinity])/16 - 
     (25999*S[3, Infinity])/896)*S[5, Infinity] + 
   (148171*S[-1, Infinity]*S[7, Infinity])/1792 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] + 47*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((289*S[-1, Infinity]^4)/1680 - 
     (9*S[-1, 1, 1, 1, Infinity])/70) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (18560*S[-7, -1, Infinity] + 
     6193*S[5, 3, Infinity] + 9344*S[-5, -1, -1, -1, Infinity] - 
     3968*S[-5, -1, 1, 1, Infinity] - 5376*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/168 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (261*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (215*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/360 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (8*(-5*S[-5, -1, Infinity] - 
        14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, -1, -2, 1, 3, Infinity] -> (-667*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 - (1812991*S[2, Infinity]^4)/2352000 + 
   ((207*S[-1, Infinity]^2)/128 + (9623*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 - 
     (395*S[-1, Infinity]*S[2, Infinity])/128 - (13323*S[3, Infinity])/3584)*
    S[5, Infinity] - (41887*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 + (-217920*S[-7, -1, Infinity] - 85251*S[5, 3, Infinity] - 
     81920*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*(S[-1, Infinity]^4/210 - 
     (4*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/672 + (95*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (25*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (95*S[-1, 1, 1, 1, 1, Infinity])/28), S[-1, -1, -2, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/192 - (199*S[-1, Infinity]^2*S[2, Infinity]^3)/336 - 
   (12803341*S[2, Infinity]^4)/2352000 + 
   ((153*S[-1, Infinity]^2)/64 + (3429*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 - 
     (1271*S[-1, Infinity]*S[2, Infinity])/64 + (34481*S[3, Infinity])/1792)*
    S[5, Infinity] - (41887*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (85*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-123*S[-1, Infinity]^4)/1120 - 
     (261*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-247040*S[-7, -1, Infinity] - 80631*S[5, 3, Infinity] - 
     180480*S[-5, -1, -1, -1, Infinity] + 126720*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/140 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1351*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (78*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -2, -1, 3, Infinity] -> 
  S[-1, Infinity]^8/288 - (S[-1, Infinity]^4*S[2, Infinity]^2)/24 + 
   (2291*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (422279*S[2, Infinity]^4)/168000 + 
   ((11*S[-1, Infinity]^2)/128 - (3285*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/16 + 
     (1845*S[-1, Infinity]*S[2, Infinity])/32 + (15343*S[3, Infinity])/512)*
    S[5, Infinity] + (2711*S[-1, Infinity]*S[7, Infinity])/128 - 
   (35*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (196800*S[-7, -1, Infinity] + 44077*S[5, 3, Infinity] + 
     44800*S[-5, -1, -1, -1, Infinity] + 8960*S[-5, -1, 1, 1, Infinity] + 
     5120*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-5*S[-1, Infinity]^5)/24 + 
     (119*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (1081*S[-1, Infinity]*S[2, Infinity]^2)/64 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     20*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/40 - S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(7*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[-1, -1, -2, -1, -3, Infinity] -> (7067*S[-1, Infinity]^2*S[2, Infinity]^3)/
    3360 + (4340131*S[2, Infinity]^4)/1176000 + 
   ((817*S[-1, Infinity]^2)/448 - (279*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/96 - 
     (95*S[-1, Infinity]*S[2, Infinity])/448 + (2795*S[3, Infinity])/1792)*
    S[5, Infinity] + (2711*S[-1, Infinity]*S[7, Infinity])/128 - 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
   (78560*S[-7, -1, Infinity] + 15949*S[5, 3, Infinity] + 
     11520*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((29*S[-1, Infinity]^4)/336 - 
     S[-1, 1, 1, 1, Infinity]/14) + S[3, Infinity]*
    ((-25*S[-1, Infinity]^5)/672 + (43*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (783*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-145*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, -2, -2, 2, Infinity] -> (-241*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (386761*S[2, Infinity]^4)/39200 + 
   ((2293*S[-1, Infinity]^2)/448 + (247*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-4891*S[-1, Infinity]*S[2, Infinity])/112 + 
     (7771*S[3, Infinity])/224)*S[5, Infinity] - 
   (78531*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (46*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-2432*S[-7, -1, Infinity] - 6655*S[5, 3, Infinity] - 
     16512*S[-5, -1, -1, -1, Infinity] + 16512*S[-5, -1, 1, 1, Infinity])/
    896 + S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/280 - 
     (311*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/280 - (275*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (9587*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (167*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(193*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-1, -1, -2, -2, -2, Infinity] -> S[-1, Infinity]^8/72 + 
   (2743*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1165329*S[2, Infinity]^4)/392000 + 
   ((143*S[-1, Infinity]^2)/16 + (1741*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((247*S[-1, Infinity]*S[2, Infinity])/32 + 
     (19795*S[3, Infinity])/896)*S[5, Infinity] - 
   (78531*S[-1, Infinity]*S[7, Infinity])/1792 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (46*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((83*S[-1, Infinity]^4)/336 + 
     (71*S[-1, 1, 1, 1, Infinity])/14) + 
   (24320*S[-7, -1, Infinity] - 2981*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-239*S[-1, Infinity]^5)/420 + 
     (169*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (1877*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     10*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (128*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/20 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-75*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-1, -1, -2, -3, 1, Infinity] -> -S[-1, Infinity]^8/64 - 
   (451*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (1947653*S[2, Infinity]^4)/470400 + 
   ((-1801*S[-1, Infinity]^2)/896 - (6761*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/24 + 
     (1679*S[-1, Infinity]*S[2, Infinity])/224 - (69249*S[3, Infinity])/3584)*
    S[5, Infinity] + (7325*S[-1, Infinity]*S[7, Infinity])/128 - 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-317*S[-1, Infinity]^4)/3360 - 
     (313*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - (5*S[-5, -1, Infinity])/14 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (126464*S[-7, -1, Infinity] + 26503*S[5, 3, Infinity] + 
     39680*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     32256*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((143*S[-1, Infinity]^5)/560 - 
     (277*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (561*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (127*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -2, -3, -1, Infinity] -> 
  -S[-1, Infinity]^8/72 - (19*S[-1, Infinity]^2*S[2, Infinity]^3)/240 + 
   (31279*S[2, Infinity]^4)/84000 + ((-355*S[-1, Infinity]^2)/64 - 
     (1027*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-1085*S[-1, Infinity]^3)/192 + (147*S[-1, Infinity]*S[2, Infinity])/16 + 
     (2765*S[3, Infinity])/128)*S[5, Infinity] + 
   (7325*S[-1, Infinity]*S[7, Infinity])/128 - 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/80 - 
     (69*S[-1, 1, 1, 1, Infinity])/10) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (23040*S[-7, -1, Infinity] + 5687*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((83*S[-1, Infinity]^5)/240 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (669*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/60 - (31*S[-5, -1, Infinity])/2 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -1, -3, 2, 1, Infinity] -> (-869*S[-1, Infinity]^2*S[2, Infinity]^3)/
    420 - (204781*S[2, Infinity]^4)/336000 + 
   ((-1073*S[-1, Infinity]^2)/896 + (1939*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((1643*S[-1, Infinity]^3)/192 - 
     (8619*S[-1, Infinity]*S[2, Infinity])/448 - (14413*S[3, Infinity])/512)*
    S[5, Infinity] - (77545*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (167*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (73*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (2*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity]))/
    7 + (-183680*S[-7, -1, Infinity] - 44131*S[5, 3, Infinity] - 
     34560*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(-S[-1, Infinity]^4/24 + 
     S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*(S[-1, Infinity]^5/12 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (20627*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     10*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, -3, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/96 - (79*S[-1, Infinity]^2*S[2, Infinity]^3)/210 - 
   (550889*S[2, Infinity]^4)/470400 + 
   ((-1865*S[-1, Infinity]^2)/896 + (5303*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 + 
     (1033*S[-1, Infinity]*S[2, Infinity])/448 - (25409*S[3, Infinity])/3584)*
    S[5, Infinity] - (77545*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-319*S[-1, Infinity]^4)/1680 + 
     (109*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 + (51*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-74752*S[-7, -1, Infinity] - 21339*S[5, 3, Infinity] - 
     25856*S[-5, -1, -1, -1, Infinity] - 1024*S[-5, -1, 1, 1, Infinity] + 
     21504*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/105 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (4393*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (4*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -3, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/576 - (17*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (99709*S[2, Infinity]^4)/392000 + 
   (S[-1, Infinity]^2/2 + (19*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/96 - (3*S[-1, Infinity]*S[2, Infinity])/4 - 
     (1149*S[3, Infinity])/448)*S[5, Infinity] - 
   (25623*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/560 + 
     (101*S[-1, 1, 1, 1, Infinity])/70) + 
   (-74000*S[-7, -1, Infinity] - 15951*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-149*S[-1, Infinity]^5)/3360 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/45 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (311*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -1, -3, 1, -2, Infinity] -> S[-1, Infinity]^8/576 - 
   (131*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (427053*S[2, Infinity]^4)/392000 + 
   ((139*S[-1, Infinity]^2)/224 + (885*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 - 
     (1997*S[-1, Infinity]*S[2, Infinity])/224 - (17161*S[3, Infinity])/3584)*
    S[5, Infinity] - (25623*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/672 + 
     (9*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-270080*S[-7, -1, Infinity] - 51313*S[5, 3, Infinity] - 
     56320*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-253*S[-1, Infinity]^5)/3360 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (3713*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-15*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -1, -3, -1, 2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (2591*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (411279*S[2, Infinity]^4)/392000 + 
   ((-19*S[-1, Infinity]^2)/4 + (5391*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/16 - (1411*S[-1, Infinity]*S[2, Infinity])/32 - 
     (46247*S[3, Infinity])/896)*S[5, Infinity] - 
   (12713*S[-1, Infinity]*S[7, Infinity])/448 + 
   15*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((283*S[-1, Infinity]^4)/1680 + 
     (137*S[-1, 1, 1, 1, Infinity])/70) + 
   (-1295680*S[-7, -1, Infinity] - 243023*S[5, 3, Infinity] - 
     194560*S[-5, -1, -1, -1, Infinity] - 154880*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((191*S[-1, Infinity]^5)/420 - 
     (163*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (229*S[-1, Infinity]*S[2, Infinity]^2)/10 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (242*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 
     (3*(-437*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-1, -1, -3, -1, -2, Infinity] -> (-909*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (2859*S[2, Infinity]^4)/1225 + 
   ((-47*S[-1, Infinity]^2)/8 + (7849*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((1147*S[-1, Infinity]^3)/96 - (1641*S[-1, Infinity]*S[2, Infinity])/64 - 
     (12281*S[3, Infinity])/224)*S[5, Infinity] - 
   (12713*S[-1, Infinity]*S[7, Infinity])/448 + 
   11*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + (-57280*S[-7, -1, Infinity] - 10349*S[5, 3, Infinity] - 
     6144*S[-5, -1, -1, -1, Infinity] - 8192*S[-5, -1, 1, 1, Infinity])/448 + 
   S[2, Infinity]^2*((-109*S[-1, Infinity]^4)/1680 + 
     (212*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((29*S[-1, Infinity]^5)/210 - (43*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (181*S[-1, Infinity]*S[2, Infinity]^2)/10 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (256*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 
     (3*(965*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-1, -1, -3, -2, 1, Infinity] -> (-761*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1680 - (741257*S[2, Infinity]^4)/470400 + 
   ((-1167*S[-1, Infinity]^2)/896 + (6665*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/24 - 
     (2575*S[-1, Infinity]*S[2, Infinity])/224 - (3603*S[3, Infinity])/448)*
    S[5, Infinity] - (54567*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (113*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (93*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + (-37376*S[-7, -1, Infinity] - 6571*S[5, 3, Infinity] - 
     7104*S[-5, -1, -1, -1, Infinity] - 1856*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/1680 + 
     (29*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((29*S[-1, Infinity]^5)/840 - (29*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1633*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -3, -2, -1, Infinity] -> 
  (-12133*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 - 
   (5942939*S[2, Infinity]^4)/1176000 + 
   ((15*S[-1, Infinity]^2)/64 + (8009*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((1085*S[-1, Infinity]^3)/192 - 46*S[-1, Infinity]*S[2, Infinity] - 
     (5603*S[3, Infinity])/448)*S[5, Infinity] - 
   (54567*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + (-364800*S[-7, -1, Infinity] - 88537*S[5, 3, Infinity] - 
     84480*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/420 - 
     (76*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (S[-1, Infinity]^6/24 + (137*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/70 - 
     (967*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2401*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -4, 1, 1, Infinity] -> 
  (457*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + (2036053*S[2, Infinity]^4)/
    2352000 + ((-73*S[-1, Infinity]^2)/64 - (3293*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-527*S[-1, Infinity]^3)/192 + 
     (793*S[-1, Infinity]*S[2, Infinity])/64 + (7627*S[3, Infinity])/896)*
    S[5, Infinity] + (9637*S[-1, Infinity]*S[7, Infinity])/448 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (45*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-18*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    14 + (229920*S[-7, -1, Infinity] + 59919*S[5, 3, Infinity] + 
     58880*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(-S[-1, Infinity]^4/1680 + 
     S[-1, 1, 1, 1, Infinity]/70) + S[3, Infinity]*
    (S[-1, Infinity]^5/840 - (S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (407*S[-1, Infinity]*S[2, Infinity]^2)/160 - S[-1, 1, 1, 1, 1, Infinity]/
      7), S[-1, -1, -4, 1, -1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (3659*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (2689769*S[2, Infinity]^4)/1176000 + 
   ((19*S[-1, Infinity]^2)/896 + (1619*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/48 - 
     (767*S[-1, Infinity]*S[2, Infinity])/112 - (27333*S[3, Infinity])/1792)*
    S[5, Infinity] + (9637*S[-1, Infinity]*S[7, Infinity])/448 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-18*S[-5, 1, 1, Infinity] - 53*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((857*S[-1, Infinity]^4)/3360 - 
     (17*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (211*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-3880*S[-7, -1, Infinity] - 981*S[5, 3, Infinity] + 
     360*S[-5, -1, -1, -1, Infinity] - 1760*S[-5, -1, 1, 1, Infinity] - 
     1680*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/140 - 
     (281*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (4303*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (44*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -4, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/192 + (17461*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (951283*S[2, Infinity]^4)/588000 + 
   ((373*S[-1, Infinity]^2)/128 - (23101*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1333*S[-1, Infinity]^3)/96 + 
     (861*S[-1, Infinity]*S[2, Infinity])/16 + (81927*S[3, Infinity])/1792)*
    S[5, Infinity] + (32071*S[-1, Infinity]*S[7, Infinity])/896 - 
   (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(74*S[-5, 1, 1, Infinity] - 115*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-551*S[-1, Infinity]^4)/3360 - 
     (289*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 - (653*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (1387360*S[-7, -1, Infinity] + 291271*S[5, 3, Infinity] + 
     241280*S[-5, -1, -1, -1, Infinity] + 126080*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-89*S[-1, Infinity]^5)/280 + 
     (1145*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (7997*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (197*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -4, -1, -1, Infinity] -> 
  (24001*S[-1, Infinity]^2*S[2, Infinity]^3)/3360 + 
   (1317161*S[2, Infinity]^4)/1176000 + 
   ((509*S[-1, Infinity]^2)/448 - (14899*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-837*S[-1, Infinity]^3)/64 + 
     (32777*S[-1, Infinity]*S[2, Infinity])/448 + (14043*S[3, Infinity])/224)*
    S[5, Infinity] + (32071*S[-1, Infinity]*S[7, Infinity])/896 - 
   (137*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (370*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(74*S[-5, 1, 1, Infinity] - 115*S[5, -1, -1, Infinity]))/
    14 + (12655*S[-7, -1, Infinity] + 2712*S[5, 3, Infinity] + 
     2280*S[-5, -1, -1, -1, Infinity] + 1080*S[-5, -1, 1, 1, Infinity])/70 + 
   S[2, Infinity]^2*((-69*S[-1, Infinity]^4)/280 - 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/35 + (477*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (31523*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 3, 1, 1, Infinity] -> 
  (309*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (146151*S[2, Infinity]^4)/
    78400 + ((-45*S[-1, Infinity]^2)/112 - (187*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 + 
     (345*S[-1, Infinity]*S[2, Infinity])/224 + (4061*S[3, Infinity])/896)*
    S[5, Infinity] + (26603*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/
    14 + (120*S[-7, -1, Infinity] + 95*S[5, 3, Infinity] + 
     240*S[-5, -1, -1, -1, Infinity] - 72*S[-5, -1, 1, 1, Infinity])/112 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/112 + 
     (69*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/280 - (3*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (1531*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 3, 1, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/288 + (2031*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (782599*S[2, Infinity]^4)/392000 + 
   ((-63*S[-1, Infinity]^2)/32 - (8417*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 + 
     (2181*S[-1, Infinity]*S[2, Infinity])/128 + (69987*S[3, Infinity])/3584)*
    S[5, Infinity] + (26603*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-823*S[-1, Infinity]^4)/1680 - 
     (647*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (591520*S[-7, -1, Infinity] + 109553*S[5, 3, Infinity] + 
     74240*S[-5, -1, -1, -1, Infinity] + 73600*S[-5, -1, 1, 1, Infinity] - 
     89600*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/105 - 
     (53*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (127*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (313*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/30 - (691*S[-5, -1, Infinity])/28 - 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 3, -1, 1, Infinity] -> -S[-1, Infinity]^8/144 + 
   (643*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (367013*S[2, Infinity]^4)/156800 + 
   ((-935*S[-1, Infinity]^2)/448 - (8475*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (839*S[-1, Infinity]*S[2, Infinity])/56 + (12905*S[3, Infinity])/3584)*
    S[5, Infinity] + (91289*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (137*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((89*S[-1, Infinity]^4)/210 - 
     (146*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (114944*S[-7, -1, Infinity] + 37501*S[5, 3, Infinity] + 
     45312*S[-5, -1, -1, -1, Infinity] - 18432*S[-5, -1, 1, 1, Infinity] - 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((1289*S[-1, Infinity]^5)/3360 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (3347*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (37*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 + (127*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 3, -1, -1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (193*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (430837*S[2, Infinity]^4)/
    98000 + ((507*S[-1, Infinity]^2)/448 + (379*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 - 
     (2081*S[-1, Infinity]*S[2, Infinity])/112 - (105003*S[3, Infinity])/
      3584)*S[5, Infinity] + (91289*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity]))/
    7 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((44*S[-1, Infinity]^4)/35 + 
     (99*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    ((-5*S[-1, Infinity]^6)/24 + (501*S[-5, -1, Infinity])/14 + 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-872320*S[-7, -1, Infinity] - 75107*S[5, 3, Infinity] + 
     56320*S[-5, -1, -1, -1, Infinity] - 244480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((191*S[-1, Infinity]^5)/840 + 
     (185*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (20201*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (191*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 2, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (209459*S[2, Infinity]^4)/112000 + 
   ((-35*S[-1, Infinity]^2)/32 - (131*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 + 4*S[-1, Infinity]*S[2, Infinity] - 
     (111*S[3, Infinity])/64)*S[5, Infinity] + 
   (16169*S[-1, Infinity]*S[7, Infinity])/512 + 
   4*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[2, Infinity]^2*((-27*S[-1, Infinity]^4)/80 - 
     (9*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (12080*S[-7, -1, Infinity] + 
     983*S[5, 3, Infinity] + 2560*S[-5, -1, -1, -1, Infinity] - 
     3840*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/240 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, 2, 2, -1, Infinity] -> 
  (497*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (59681*S[2, Infinity]^4)/
    7000 + ((-47*S[-1, Infinity]^2)/16 - (1227*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (9425*S[-1, Infinity]*S[2, Infinity])/128 + (1961*S[3, Infinity])/256)*
    S[5, Infinity] + (16169*S[-1, Infinity]*S[7, Infinity])/512 - 
   12*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   4*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   (5760*S[-7, -1, Infinity] + 1639*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity])/80 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/30 + (8*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(-S[-1, Infinity]^5/30 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (5753*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/20 + 8*S[-5, -1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 2, 1, 2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (51*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (240083*S[2, Infinity]^4)/
    196000 + ((-53*S[-1, Infinity]^2)/56 - (85*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-547*S[-1, Infinity]*S[2, Infinity])/448 + 
     (25147*S[3, Infinity])/1792)*S[5, Infinity] - 
   (111*S[-1, Infinity]*S[7, Infinity])/28 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/560 - 
     (123*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*(39680*S[-7, -1, Infinity] - 4723*S[5, 3, Infinity] + 
      7680*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] + 
      35840*S[-1, 1, 1, 1, Infinity]^2))/17920 + 
   S[3, Infinity]*((67*S[-1, Infinity]^5)/336 - 
     (125*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3111*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (55*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-9*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -2, 2, 1, -2, Infinity] -> (-137*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (2442759*S[2, Infinity]^4)/784000 + 
   ((65*S[-1, Infinity]^2)/32 + (3037*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-865*S[-1, Infinity]*S[2, Infinity])/64 + (12403*S[3, Infinity])/1792)*
    S[5, Infinity] - (111*S[-1, Infinity]*S[7, Infinity])/28 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (113600*S[-7, -1, Infinity] - 4667*S[5, 3, Infinity] - 
     81920*S[-5, -1, -1, -1, Infinity] + 81920*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/840 - 
     (116*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/35 - (11*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (59*S[-1, Infinity]*S[2, Infinity]^2)/64 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (92*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/36 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-575*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -2, 2, -1, 2, Infinity] -> -S[-1, Infinity]^8/36 - 
   (1311*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (4301*S[2, Infinity]^4)/500 + ((-115*S[-1, Infinity]^2)/112 + 
     (1427*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (84573*S[-1, Infinity]*S[2, Infinity])/896 - 
     (13303*S[3, Infinity])/256)*S[5, Infinity] - 
   (33147*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (116*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*(S[-1, Infinity]^4/2 - 
     12*S[-1, 1, 1, 1, Infinity]) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-27840*S[-7, -1, Infinity] - 7619*S[5, 3, Infinity] - 
     8960*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/24 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (32797*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     30*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/36 + 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     22*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     2*(3*S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])), 
 S[-1, -2, 2, -1, -2, Infinity] -> (-39*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (1619581*S[2, Infinity]^4)/392000 + 
   ((-43*S[-1, Infinity]^2)/14 + (1811*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (951*S[-1, Infinity]*S[2, Infinity])/448 - (86179*S[3, Infinity])/3584)*
    S[5, Infinity] - (33147*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-322880*S[-7, -1, Infinity] - 90327*S[5, 3, Infinity] - 
     58880*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/420 + 
     (38*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((81*S[-1, Infinity]^5)/560 - (145*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (15483*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (243*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (4*(-19*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, -2, 2, -2, 1, Infinity] -> S[-1, Infinity]^8/48 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (153793*S[2, Infinity]^4)/
    28000 + ((49*S[-1, Infinity]^2)/4 + (363*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (317*S[-1, Infinity]*S[2, Infinity])/64 + (23411*S[3, Infinity])/512)*
    S[5, Infinity] - (1087*S[-1, Infinity]*S[7, Infinity])/32 - 
   7*S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[-1, Infinity]*
    (3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/40 + 
     (9*S[-1, 1, 1, 1, Infinity])/5) + 
   (33280*S[-7, -1, Infinity] + 2371*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-143*S[-1, Infinity]^5)/240 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (5031*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     49*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/20 - 44*S[-5, -1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 2, -2, -1, Infinity] -> S[-1, Infinity]^8/36 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (168039*S[2, Infinity]^4)/
    14000 + ((393*S[-1, Infinity]^2)/32 + (297*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (7477*S[-1, Infinity]*S[2, Infinity])/128 + (34877*S[3, Infinity])/512)*
    S[5, Infinity] - (1087*S[-1, Infinity]*S[7, Infinity])/32 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[-1, Infinity]*
    (3*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-103*S[-1, Infinity]^4)/60 + 
     (26*S[-1, 1, 1, 1, Infinity])/5) + 
   (-160*S[-7, -1, Infinity] - 187*S[5, 3, Infinity] - 
     480*S[-5, -1, -1, -1, Infinity] + 480*S[-5, -1, 1, 1, Infinity] + 
     320*S[-1, 1, 1, 1, Infinity]^2)/20 + S[3, Infinity]*
    ((-121*S[-1, Infinity]^5)/240 - (19*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (25*S[-1, Infinity]*S[2, Infinity]^2)/64 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (101*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/60 - 44*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 1, 3, 1, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (17169*S[2, Infinity]^4)/112000 + 
   ((-5*S[-1, Infinity]^2)/16 + (13*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 - (31*S[-1, Infinity]*S[2, Infinity])/32 + 
     (253*S[3, Infinity])/512)*S[5, Infinity] - 
   (607*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   (-18560*S[-7, -1, Infinity] + 173*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(-S[-1, Infinity]^4/40 + 
     (3*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (181*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, 1, 3, -1, Infinity] -> 
  (-235*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (66471*S[2, Infinity]^4)/156800 + 
   ((-17*S[-1, Infinity]^2)/56 + (69*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 - (4703*S[-1, Infinity]*S[2, Infinity])/448 - 
     (14655*S[3, Infinity])/1792)*S[5, Infinity] - 
   (607*S[-1, Infinity]*S[7, Infinity])/128 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   (-70848*S[-7, -1, Infinity] - 12009*S[5, 3, Infinity] - 
     8192*S[-5, -1, -1, -1, Infinity] - 6144*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((-1811*S[-1, Infinity]^4)/6720 + 
     (131*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/1680 - 
     (179*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (2881*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (243*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 + (38*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 1, 2, 2, Infinity] -> (-89*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1126281*S[2, Infinity]^4)/784000 + 
   ((-115*S[-1, Infinity]^2)/56 + (823*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1147*S[-1, Infinity]*S[2, Infinity])/448 - 
     (32745*S[3, Infinity])/3584)*S[5, Infinity] + 
   (70019*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (79*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (27040*S[-7, -1, Infinity] + 22879*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/336 + 
     (19*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/420 - (23*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (437*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 1, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (2539*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (123819*S[2, Infinity]^4)/784000 + 
   ((-67*S[-1, Infinity]^2)/16 - (1111*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-529*S[-1, Infinity]*S[2, Infinity])/64 - 
     (33627*S[3, Infinity])/1792)*S[5, Infinity] + 
   (70019*S[-1, Infinity]*S[7, Infinity])/3584 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((6919*S[-1, Infinity]^4)/6720 - 
     (1879*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (16320*S[-7, -1, Infinity] - 54287*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/70 + 
     (131*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3407*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (163*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/60 + (169*S[-5, -1, Infinity])/56 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 1, 1, 3, Infinity] -> -S[-1, Infinity]^8/576 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (1112653*S[2, Infinity]^4)/
    2352000 + ((33*S[-1, Infinity]^2)/448 - (659*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((101*S[-1, Infinity]*S[2, Infinity])/56 + 
     (7265*S[3, Infinity])/896)*S[5, Infinity] - 
   (3195*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/840 - 
     (23*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (17*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-18560*S[-7, -1, Infinity] + 2081*S[5, 3, Infinity] - 
     5760*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/3360 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1439*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 1, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/576 + (671*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (867409*S[2, Infinity]^4)/1176000 + 
   ((3*S[-1, Infinity]^2)/8 - (57*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((149*S[-1, Infinity]*S[2, Infinity])/32 + (465*S[3, Infinity])/224)*
    S[5, Infinity] - (3195*S[-1, Infinity]*S[7, Infinity])/1792 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-701*S[-1, Infinity]^4)/1344 + 
     (113*S[-1, 1, 1, 1, Infinity])/56) + 
   (15520*S[-7, -1, Infinity] + 9629*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/3360 - 
     (47*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (827*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 + (5*S[-5, -1, Infinity])/28 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 1, -1, 3, Infinity] -> S[-1, Infinity]^8/144 + 
   (1641*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (10592111*S[2, Infinity]^4)/2352000 + 
   ((75*S[-1, Infinity]^2)/448 - (36517*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/32 + 
     (6117*S[-1, Infinity]*S[2, Infinity])/112 + (4463*S[3, Infinity])/112)*
    S[5, Infinity] + (35263*S[-1, Infinity]*S[7, Infinity])/896 - 
   (102*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 115*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((107*S[-1, Infinity]^4)/1344 + 
     (5*S[-1, 1, 1, 1, Infinity])/56) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (1032960*S[-7, -1, Infinity] + 211903*S[5, 3, Infinity] + 
     211200*S[-5, -1, -1, -1, Infinity] + 57600*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-183*S[-1, Infinity]^5)/1120 + 
     (397*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (39757*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (689*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(309*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-1, -2, 1, -1, -3, Infinity] -> (967*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (9649177*S[2, Infinity]^4)/2352000 + 
   ((1091*S[-1, Infinity]^2)/896 - (5223*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/32 + 
     (3477*S[-1, Infinity]*S[2, Infinity])/112 + (10517*S[3, Infinity])/224)*
    S[5, Infinity] + (35263*S[-1, Infinity]*S[7, Infinity])/896 - 
   (249*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 115*S[5, -1, -1, Infinity]))/
    14 + (244400*S[-7, -1, Infinity] + 54391*S[5, 3, Infinity] + 
     40800*S[-5, -1, -1, -1, Infinity] + 26400*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-209*S[-1, Infinity]^4)/3360 - 
     (351*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-253*S[-1, Infinity]^5)/1680 + 
     (751*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (7353*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (323*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-117*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-1, -2, 1, -2, 2, Infinity] -> S[-1, Infinity]^8/144 + 
   (1941*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (640207*S[2, Infinity]^4)/196000 + 
   (S[-1, Infinity]^2/4 - (5423*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((2695*S[-1, Infinity]*S[2, Infinity])/128 + (5685*S[3, Infinity])/1792)*
    S[5, Infinity] - (2305*S[-1, Infinity]*S[7, Infinity])/448 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-2323*S[-1, Infinity]^4)/2240 + 
     (1929*S[-1, 1, 1, 1, Infinity])/280) + 
   (-2720*S[-7, -1, Infinity] + 5843*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/70 - 
     (275*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2381*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (19*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/60 + (64*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 1, -2, -2, Infinity] -> (211*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (14611*S[2, Infinity]^4)/39200 + 
   ((25*S[-1, Infinity]^2)/56 + (95*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-391*S[-1, Infinity]*S[2, Infinity])/448 + (13707*S[3, Infinity])/3584)*
    S[5, Infinity] - (2305*S[-1, Infinity]*S[7, Infinity])/448 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (10*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-5568*S[-7, -1, Infinity] - 327*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/2240 + 
     (51*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    (-S[-1, Infinity]^5/84 + (5*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 1, -3, 1, Infinity] -> 
  (-7*S[-1, Infinity]^8)/576 - (125*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (156259*S[2, Infinity]^4)/784000 + 
   ((-255*S[-1, Infinity]^2)/64 + (83*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/16 - (111*S[-1, Infinity]*S[2, Infinity])/16 - 
     (19385*S[3, Infinity])/896)*S[5, Infinity] + 
   (4957*S[-1, Infinity]*S[7, Infinity])/448 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((667*S[-1, Infinity]^4)/840 - 
     (389*S[-1, 1, 1, 1, Infinity])/70) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-181760*S[-7, -1, Infinity] - 46143*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 57600*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((241*S[-1, Infinity]^5)/840 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (2931*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (237*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/240 + (59*S[-5, -1, Infinity])/7 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, 1, -3, -1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (83*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (2794079*S[2, Infinity]^4)/
    784000 + ((-101*S[-1, Infinity]^2)/28 - (153*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (15453*S[-1, Infinity]*S[2, Infinity])/896 - (63871*S[3, Infinity])/
      3584)*S[5, Infinity] + (4957*S[-1, Infinity]*S[7, Infinity])/448 - 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (86*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((1403*S[-1, Infinity]^4)/3360 - 
     (143*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (25280*S[-7, -1, Infinity] + 24701*S[5, 3, Infinity] + 
     59520*S[-5, -1, -1, -1, Infinity] - 59520*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((617*S[-1, Infinity]^5)/3360 + 
     (121*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (67*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (93*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -1, 3, 1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (3981*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1048199*S[2, Infinity]^4)/196000 + 
   ((-171*S[-1, Infinity]^2)/64 + (1317*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 - 
     (8589*S[-1, Infinity]*S[2, Infinity])/128 - (33417*S[3, Infinity])/896)*
    S[5, Infinity] - (45733*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (67*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-193*S[-1, Infinity]^4)/420 - 
     (139*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-1873600*S[-7, -1, Infinity] - 435313*S[5, 3, Infinity] - 
     454400*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((1639*S[-1, Infinity]^5)/3360 - 
     (34*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (7279*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (519*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/20 + (121*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -1, 3, -1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (2141*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (236841*S[2, Infinity]^4)/78400 + ((-2479*S[-1, Infinity]^2)/448 - 
     (303*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/16 - (5931*S[-1, Infinity]*S[2, Infinity])/448 + 
     (14661*S[3, Infinity])/1792)*S[5, Infinity] - 
   (45733*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/105 - 
     (142*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (20032*S[-7, -1, Infinity] + 2015*S[5, 3, Infinity] - 
     1152*S[-5, -1, -1, -1, Infinity] + 6528*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*(S[-1, Infinity]^5/280 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (653*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - (123*S[-5, -1, Infinity])/7 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -1, 2, 2, Infinity] -> S[-1, Infinity]^8/36 + 
   (1319*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (716377*S[2, Infinity]^4)/196000 + 
   ((839*S[-1, Infinity]^2)/112 + (2559*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (571*S[-1, Infinity]*S[2, Infinity])/28 - (54085*S[3, Infinity])/1792)*
    S[5, Infinity] - (7709*S[-1, Infinity]*S[7, Infinity])/128 + 
   (34*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]) - 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-277*S[-1, Infinity]^4)/1680 + 
     (837*S[-1, 1, 1, 1, Infinity])/70) + 
   (-386880*S[-7, -1, Infinity] - 80719*S[5, 3, Infinity] - 
     79360*S[-5, -1, -1, -1, Infinity] - 28160*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-1049*S[-1, Infinity]^5)/1680 + 
     (587*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (8021*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (33*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (53*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/20 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (67*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -2, -1, 2, -2, Infinity] -> S[-1, Infinity]^8/72 - 
   (817*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (361211*S[2, Infinity]^4)/49000 + 
   ((785*S[-1, Infinity]^2)/224 - (431*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (3775*S[-1, Infinity]*S[2, Infinity])/224 + (64825*S[3, Infinity])/1792)*
    S[5, Infinity] - (7709*S[-1, Infinity]*S[7, Infinity])/128 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-1559*S[-1, Infinity]^4)/1680 + 
     (439*S[-1, 1, 1, 1, Infinity])/70) + 
   (-184000*S[-7, -1, Infinity] - 60297*S[5, 3, Infinity] - 
     67840*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-209*S[-1, Infinity]^5)/560 - 
     (325*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (14927*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (226*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(97*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-1, -2, -1, 1, 3, Infinity] -> -S[-1, Infinity]^8/144 - 
   (139*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (698177*S[2, Infinity]^4)/
    1176000 + ((-1651*S[-1, Infinity]^2)/448 + (14169*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/32 - 
     (8811*S[-1, Infinity]*S[2, Infinity])/448 - (33549*S[3, Infinity])/896)*
    S[5, Infinity] - (9505*S[-1, Infinity]*S[7, Infinity])/896 + 
   (58*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-55*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((559*S[-1, Infinity]^4)/3360 + 
     S[-1, 1, 1, 1, Infinity]/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-1245120*S[-7, -1, Infinity] - 225079*S[5, 3, Infinity] - 
     156160*S[-5, -1, -1, -1, Infinity] - 166400*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((667*S[-1, Infinity]^5)/3360 - 
     (143*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (29311*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (351*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(311*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-1, -2, -1, 1, -3, Infinity] -> -S[-1, Infinity]^8/288 - 
   (489*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (967909*S[2, Infinity]^4)/168000 + 
   ((-1537*S[-1, Infinity]^2)/896 + (1187*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/32 - 
     (9993*S[-1, Infinity]*S[2, Infinity])/448 - (24721*S[3, Infinity])/512)*
    S[5, Infinity] - (9505*S[-1, Infinity]*S[7, Infinity])/896 + 
   (97*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-55*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((31*S[-1, Infinity]^4)/40 + 
     (2*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-111360*S[-7, -1, Infinity] - 22301*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 17920*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/32 - 
     (S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (7587*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (55*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (53*S[-5, -1, Infinity] + 
       48*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-1, -2, -1, -1, 3, Infinity] -> (-1611*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (14269139*S[2, Infinity]^4)/2352000 + 
   ((-265*S[-1, Infinity]^2)/112 + (4713*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/16 - 
     (7607*S[-1, Infinity]*S[2, Infinity])/112 - (254635*S[3, Infinity])/
      3584)*S[5, Infinity] - (96053*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (247*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/
    7 + (-3553600*S[-7, -1, Infinity] - 751391*S[5, 3, Infinity] - 
     606720*S[-5, -1, -1, -1, Infinity] - 360960*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((139*S[-1, Infinity]^4)/840 + 
     (141*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((37*S[-1, Infinity]^5)/105 - (781*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (1711*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (296*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (289*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -2, -1, -1, -3, Infinity] -> 
  (-5713*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4789553*S[2, Infinity]^4)/1176000 + 
   ((-227*S[-1, Infinity]^2)/64 + (12743*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/16 - 
     (499*S[-1, Infinity]*S[2, Infinity])/8 - (118525*S[3, Infinity])/1792)*
    S[5, Infinity] - (96053*S[-1, Infinity]*S[7, Infinity])/1792 + 
   22*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/
    7 + (-50620*S[-7, -1, Infinity] - 10379*S[5, 3, Infinity] - 
     9120*S[-5, -1, -1, -1, Infinity] - 4320*S[-5, -1, 1, 1, Infinity])/280 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/105 + 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((871*S[-1, Infinity]^5)/3360 - (1249*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (8649*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (871*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(305*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-1, -2, -1, -2, 2, Infinity] -> S[-1, Infinity]^8/144 + 
   (731*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (5946541*S[2, Infinity]^4)/784000 + 
   ((-1285*S[-1, Infinity]^2)/224 - (6645*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (14405*S[-1, Infinity]*S[2, Infinity])/224 - (136791*S[3, Infinity])/
      3584)*S[5, Infinity] - (8241*S[-1, Infinity]*S[7, Infinity])/896 - 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((383*S[-1, Infinity]^4)/280 + 
     (181*S[-1, 1, 1, 1, Infinity])/35) + 
   (-792000*S[-7, -1, Infinity] - 16397*S[5, 3, Infinity] + 
     230400*S[-5, -1, -1, -1, Infinity] - 445440*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/1680 + 
     (781*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (355*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (166*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-4*S[-1, Infinity]^6)/15 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (467*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -2, -1, -2, -2, Infinity] -> -S[-1, Infinity]^8/36 - 
   (327*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (1151349*S[2, Infinity]^4)/
    196000 + ((-45*S[-1, Infinity]^2)/16 + (44465*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (1481*S[-1, Infinity]*S[2, Infinity])/16 - (85291*S[3, Infinity])/1792)*
    S[5, Infinity] - (8241*S[-1, Infinity]*S[7, Infinity])/896 + 
   18*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/336 - 
     (135*S[-1, 1, 1, 1, Infinity])/14) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-409280*S[-7, -1, Infinity] - 99997*S[5, 3, Infinity] - 
     115200*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/112 - 
     (827*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1827*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (235*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/20 - 20*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (29*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, -2, -1, -3, 1, Infinity] -> (7*S[-1, Infinity]^8)/576 + 
   (289*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (2257169*S[2, Infinity]^4)/784000 + 
   ((547*S[-1, Infinity]^2)/448 + (523*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/48 + 
     (3095*S[-1, Infinity]*S[2, Infinity])/224 + (39847*S[3, Infinity])/1792)*
    S[5, Infinity] - (19343*S[-1, Infinity]*S[7, Infinity])/896 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/
    14 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-639*S[-1, Infinity]^4)/1120 + 
     (867*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + (94*S[-5, -1, Infinity])/7 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-201760*S[-7, -1, Infinity] - 59979*S[5, 3, Infinity] - 
     20480*S[-5, -1, -1, -1, Infinity] - 42240*S[-5, -1, 1, 1, Infinity] + 
     62720*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-491*S[-1, Infinity]^5)/1680 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (10303*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (158*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -1, -3, -1, Infinity] -> 
  S[-1, Infinity]^8/72 - (47*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (180339*S[2, Infinity]^4)/39200 + 
   (6*S[-1, Infinity]^2 + (1339*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/48 - (145*S[-1, Infinity]*S[2, Infinity])/8 - 
     (117155*S[3, Infinity])/1792)*S[5, Infinity] - 
   (19343*S[-1, Infinity]*S[7, Infinity])/896 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 25*S[5, -1, -1, Infinity]))/
    14 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((997*S[-1, Infinity]^4)/1680 + 
     (683*S[-1, 1, 1, 1, Infinity])/70) + 
   (-128448*S[-7, -1, Infinity] - 26291*S[5, 3, Infinity] - 
     19456*S[-5, -1, -1, -1, Infinity] - 16384*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-209*S[-1, Infinity]^5)/1680 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (341*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (228*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/60 + (396*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -2, 2, 1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (513*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (2114111*S[2, Infinity]^4)/392000 + 
   ((-395*S[-1, Infinity]^2)/56 - (1415*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((16403*S[-1, Infinity]*S[2, Infinity])/896 - 
     (119407*S[3, Infinity])/3584)*S[5, Infinity] + 
   (415*S[-1, Infinity]*S[7, Infinity])/16 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((541*S[-1, Infinity]^4)/840 - 
     (121*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-320*S[-7, -1, Infinity] + 5797*S[5, 3, Infinity] + 
     24000*S[-5, -1, -1, -1, Infinity] - 24000*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/70 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (7123*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (377*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + (150*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -2, 2, -1, Infinity] -> (289*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (771501*S[2, Infinity]^4)/98000 + 
   ((-1263*S[-1, Infinity]^2)/224 - (3637*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((10319*S[-1, Infinity]*S[2, Infinity])/224 - 
     (27073*S[3, Infinity])/896)*S[5, Infinity] + 
   (415*S[-1, Infinity]*S[7, Infinity])/16 - 
   (26*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (1600*S[-7, -1, Infinity] + 15283*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] - 34560*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/70 + 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((181*S[-1, Infinity]^5)/840 + (65*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (101*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (181*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/10 + (216*S[-5, -1, Infinity])/7 + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -2, 1, 2, Infinity] -> S[-1, Infinity]^8/288 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (352819*S[2, Infinity]^4)/
    392000 + ((13*S[-1, Infinity]^2)/16 - (577*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((681*S[-1, Infinity]*S[2, Infinity])/128 + 
     (17859*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5167*S[-1, Infinity]*S[7, Infinity])/1792 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/840 - 
     (3*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (24960*S[-7, -1, Infinity] + 12193*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/1680 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (227*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (48*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (95*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -2, -2, 1, -2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (194963*S[2, Infinity]^4)/
    392000 + ((113*S[-1, Infinity]^2)/112 + (3763*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1965*S[-1, Infinity]*S[2, Infinity])/112 + 
     (57*S[3, Infinity])/448)*S[5, Infinity] - 
   (5167*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/840 - 
     (61*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-3040*S[-7, -1, Infinity] - 5881*S[5, 3, Infinity] - 
     10560*S[-5, -1, -1, -1, Infinity] + 10560*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/336 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1009*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (25*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(65*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-1, -2, -2, -1, 2, Infinity] -> -S[-1, Infinity]^8/48 - 
   (171*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (2415101*S[2, Infinity]^4)/784000 + 
   ((-75*S[-1, Infinity]^2)/224 - (5361*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (5505*S[-1, Infinity]*S[2, Infinity])/224 + (77359*S[3, Infinity])/3584)*
    S[5, Infinity] + (93221*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-193*S[-1, Infinity]^4)/840 - 
     (157*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (679360*S[-7, -1, Infinity] + 
     173717*S[5, 3, Infinity] + 81920*S[-5, -1, -1, -1, Infinity] + 
     133120*S[-5, -1, 1, 1, Infinity] - 215040*S[-1, 1, 1, 1, Infinity]^2)/
    17920 + S[3, Infinity]*((89*S[-1, Infinity]^5)/280 - 
     (155*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1357*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/20 - (132*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -2, -1, -2, Infinity] -> S[-1, Infinity]^8/36 + 
   (5603*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (80739*S[2, Infinity]^4)/7000 + ((-767*S[-1, Infinity]^2)/112 - 
     (7285*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 + (12417*S[-1, Infinity]*S[2, Infinity])/112 + 
     (8839*S[3, Infinity])/256)*S[5, Infinity] + 
   (93221*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (116*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 33*S[5, -1, -1, Infinity]))/
    7 - (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-8*S[-1, Infinity]^4)/15 + 
     (44*S[-1, 1, 1, 1, Infinity])/5) + 
   (7360*S[-7, -1, Infinity] + 2141*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/120 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (26693*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     26*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/60 + 12*S[-5, -1, Infinity] - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     28*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -2, -2, 1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (2049161*S[2, Infinity]^4)/
    784000 + ((89*S[-1, Infinity]^2)/224 + (2999*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-2011*S[-1, Infinity]*S[2, Infinity])/112 - 
     (5223*S[3, Infinity])/3584)*S[5, Infinity] + 
   (4225*S[-1, Infinity]*S[7, Infinity])/896 + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-493*S[-1, Infinity]^4)/1680 - 
     (137*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - (74*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-40640*S[-7, -1, Infinity] - 41803*S[5, 3, Infinity] - 
     94720*S[-5, -1, -1, -1, Infinity] + 94720*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((251*S[-1, Infinity]^5)/1680 - 
     (181*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (11703*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -2, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/36 - (1541*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (40727*S[2, Infinity]^4)/7000 + ((13*S[-1, Infinity]^2)/56 + 
     (41*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-2753*S[-1, Infinity]*S[2, Infinity])/56 - (869*S[3, Infinity])/128)*
    S[5, Infinity] + (4225*S[-1, Infinity]*S[7, Infinity])/896 + 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((8*S[-1, Infinity]^4)/15 - (64*S[-1, 1, 1, 1, Infinity])/
      5) + (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-323*S[5, 3, Infinity] - 640*S[-5, -1, -1, -1, Infinity] + 
     640*S[-5, -1, 1, 1, Infinity] - 1280*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((4*S[-1, Infinity]^5)/15 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (10527*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     7*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/30 - 16*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -3, 1, 1, Infinity] -> (7*S[-1, Infinity]^8)/576 + 
   (1271*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1731147*S[2, Infinity]^4)/784000 + 
   ((803*S[-1, Infinity]^2)/112 - (467*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/24 - 
     (289*S[-1, Infinity]*S[2, Infinity])/448 + (79563*S[3, Infinity])/3584)*
    S[5, Infinity] - (7955*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (141*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (5*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    14 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-407*S[-1, Infinity]^4)/3360 + 
     (197*S[-1, 1, 1, 1, Infinity])/140) + 
   (755200*S[-7, -1, Infinity] + 107799*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] + 165120*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-233*S[-1, Infinity]^5)/560 + 
     (221*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (22367*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (663*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 - (363*S[-5, -1, Infinity])/
      14 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -2, -3, 1, -1, Infinity] -> S[-1, Infinity]^8/144 - 
   (2881*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1542923*S[2, Infinity]^4)/392000 + 
   ((3099*S[-1, Infinity]^2)/448 + (321*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/24 - 
     (4327*S[-1, Infinity]*S[2, Infinity])/112 + (6681*S[3, Infinity])/448)*
    S[5, Infinity] - (7955*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (5*S[-1, Infinity]*(20*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((55*S[-1, Infinity]^4)/336 + 
     (29*S[-1, 1, 1, 1, Infinity])/14) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + (13*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-336640*S[-7, -1, Infinity] - 75409*S[5, 3, Infinity] - 
     104320*S[-5, -1, -1, -1, Infinity] + 32640*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-137*S[-1, Infinity]^5)/1680 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (10713*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (51*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -3, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/64 + (1023*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (555613*S[2, Infinity]^4)/196000 + 
   ((1257*S[-1, Infinity]^2)/448 + (83*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((341*S[-1, Infinity]^3)/96 - (17*S[-1, Infinity]*S[2, Infinity])/28 + 
     (22889*S[3, Infinity])/896)*S[5, Infinity] - 
   (26055*S[-1, Infinity]*S[7, Infinity])/896 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] + 83*S[5, -1, -1, Infinity]))/
    14 - (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/224 + 
     (51*S[-1, 1, 1, 1, Infinity])/28) + S[2, Infinity]*
    (-S[-1, Infinity]^6/16 - (757*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (31420*S[-7, -1, Infinity] - 4051*S[5, 3, Infinity] - 
     8560*S[-5, -1, -1, -1, Infinity] + 14160*S[-5, -1, 1, 1, Infinity] + 
     10080*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-883*S[-1, Infinity]^5)/3360 + 
     (41*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (8609*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (177*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -3, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/72 + (2889*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (249579*S[2, Infinity]^4)/196000 + 
   ((31*S[-1, Infinity]^2)/7 - (771*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((341*S[-1, Infinity]^3)/96 + (14923*S[-1, Infinity]*S[2, Infinity])/448 + 
     (61767*S[3, Infinity])/1792)*S[5, Infinity] - 
   (26055*S[-1, Infinity]*S[7, Infinity])/896 - 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] + 83*S[5, -1, -1, Infinity]))/
    14 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/21 + 
     (16*S[-1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (S[-1, Infinity]^6/12 - (302*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (390720*S[-7, -1, Infinity] + 50523*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] + 74240*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-1199*S[-1, Infinity]^5)/1680 + 
     (169*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (41371*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (232*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, 2, 1, 1, Infinity] -> 
  (-21*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (63907*S[2, Infinity]^4)/
    56000 + ((-15*S[-1, Infinity]^2)/8 + 3*S[2, Infinity])*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/96 + (35*S[-1, Infinity]*S[2, Infinity])/16 - 
     (8539*S[3, Infinity])/512)*S[5, Infinity] - 
   (1633*S[-1, Infinity]*S[7, Infinity])/512 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   6*S[2, Infinity]*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   (-18880*S[-7, -1, Infinity] - 4883*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/40 - 
     (9*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (601*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -3, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/96 - (5533*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3069*S[2, Infinity]^4)/392000 + ((-2019*S[-1, Infinity]^2)/896 + 
     (10253*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/96 - (30743*S[-1, Infinity]*S[2, Infinity])/896 - 
     (109883*S[3, Infinity])/3584)*S[5, Infinity] - 
   (1633*S[-1, Infinity]*S[7, Infinity])/512 + 
   (233*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((1013*S[-1, Infinity]^4)/2240 + 
     (881*S[-1, 1, 1, 1, Infinity])/280) + 
   (-1331840*S[-7, -1, Infinity] - 278071*S[5, 3, Infinity] - 
     190720*S[-5, -1, -1, -1, Infinity] - 140800*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((307*S[-1, Infinity]^5)/3360 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (33107*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (138*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/240 + (699*S[-5, -1, Infinity])/
      28 + (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, 2, -1, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (927*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2311063*S[2, Infinity]^4)/784000 + 
   ((-5785*S[-1, Infinity]^2)/896 - (205*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 + 
     (4517*S[-1, Infinity]*S[2, Infinity])/224 - (52679*S[3, Infinity])/3584)*
    S[5, Infinity] - (1965*S[-1, Infinity]*S[7, Infinity])/128 + 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   2*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/280 + 
     (167*S[-1, 1, 1, 1, Infinity])/35) + 
   (-664320*S[-7, -1, Infinity] - 82071*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] - 158720*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-211*S[-1, Infinity]^5)/3360 + 
     (6*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (10287*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/240 + (685*S[-5, -1, Infinity])/
      28 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, 2, -1, -1, Infinity] -> (-7*S[-1, Infinity]^8)/576 + 
   (431*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (141009*S[2, Infinity]^4)/392000 + 
   ((-2517*S[-1, Infinity]^2)/448 - (509*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 + 
     (3657*S[-1, Infinity]*S[2, Infinity])/224 - (59065*S[3, Infinity])/3584)*
    S[5, Infinity] - (1965*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   2*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-463*S[-1, Infinity]^4)/3360 - 
     (727*S[-1, 1, 1, 1, Infinity])/140) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (461760*S[-7, -1, Infinity] + 67549*S[5, 3, Infinity] + 
     67840*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
     125440*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/210 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (123*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (81*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/80 - (111*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, 1, 2, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (243*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1264099*S[2, Infinity]^4)/392000 + 
   ((845*S[-1, Infinity]^2)/448 + (461*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 - 
     (631*S[-1, Infinity]*S[2, Infinity])/112 + (467*S[3, Infinity])/28)*
    S[5, Infinity] - (21341*S[-1, Infinity]*S[7, Infinity])/896 - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((209*S[-1, Infinity]^4)/1120 + 
     (3*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 - (30*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-16960*S[-7, -1, Infinity] + 4127*S[5, 3, Infinity] - 
     7040*S[-5, -1, -1, -1, Infinity] + 4800*S[-5, -1, 1, 1, Infinity] + 
     6720*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-407*S[-1, Infinity]^5)/3360 + 
     (337*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (3019*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/576 + (1189*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (101869*S[2, Infinity]^4)/39200 + 
   ((107*S[-1, Infinity]^2)/32 + (1077*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 - 
     (1439*S[-1, Infinity]*S[2, Infinity])/128 + (10379*S[3, Infinity])/896)*
    S[5, Infinity] - (21341*S[-1, Infinity]*S[7, Infinity])/896 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-3827*S[-1, Infinity]^4)/6720 + 
     (887*S[-1, 1, 1, 1, Infinity])/280) + 
   (-22640*S[-7, -1, Infinity] - 4047*S[5, 3, Infinity] - 
     5632*S[-5, -1, -1, -1, Infinity] + 2048*S[-5, -1, 1, 1, Infinity] + 
     896*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-317*S[-1, Infinity]^5)/3360 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (97*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (71*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 - (18*S[-5, -1, Infinity])/7 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/192 + 
   (51*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (1198189*S[2, Infinity]^4)/
    588000 + ((53*S[-1, Infinity]^2)/112 + (715*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((57*S[-1, Infinity]*S[2, Infinity])/14 - 
     (40295*S[3, Infinity])/3584)*S[5, Infinity] + 
   (7923*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/1120 + 
     (123*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (48320*S[-7, -1, Infinity] - 44489*S[5, 3, Infinity] + 
     11520*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-67*S[-1, Infinity]^5)/672 + 
     (125*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1207*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (55*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/144 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (11*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-1, -3, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/576 + 
   (169*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (67951*S[2, Infinity]^4)/235200 + 
   ((-7*S[-1, Infinity]^2)/8 - (927*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((19*S[-1, Infinity]*S[2, Infinity])/8 - (69*S[3, Infinity])/56)*
    S[5, Infinity] + (7923*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((509*S[-1, Infinity]^4)/6720 + 
     (331*S[-1, 1, 1, 1, Infinity])/280) + 
   (-1776*S[-7, -1, Infinity] + 323*S[5, 3, Infinity] + 
     1152*S[-5, -1, -1, -1, Infinity] - 1152*S[-5, -1, 1, 1, Infinity] + 
     896*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/420 + 
     (89*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (35*S[-1, Infinity]*S[2, Infinity]^2)/32 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (32*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/144 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (79*S[-5, -1, Infinity] + 
       28*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -3, 1, -1, 2, Infinity] -> -S[-1, Infinity]^8/288 - 
   (5147*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (3854467*S[2, Infinity]^4)/2352000 + 
   ((-71*S[-1, Infinity]^2)/224 + (16789*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/32 - 
     (1621*S[-1, Infinity]*S[2, Infinity])/56 - (5077*S[3, Infinity])/112)*
    S[5, Infinity] - (63925*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (153*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity]))/
    14 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-177*S[-1, Infinity]^4)/1120 + 
     (461*S[-1, 1, 1, 1, Infinity])/140) + 
   (-64480*S[-7, -1, Infinity] - 12759*S[5, 3, Infinity] - 
     9120*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] - 
     1120*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((89*S[-1, Infinity]^5)/420 - 
     (221*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (29263*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (178*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/720 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (2369*S[-5, -1, Infinity] + 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -3, 1, -1, -2, Infinity] -> (-753*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (368269*S[2, Infinity]^4)/470400 + 
   ((-47*S[-1, Infinity]^2)/64 + (4223*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]^3)/32 - 
     (2085*S[-1, Infinity]*S[2, Infinity])/64 - (114609*S[3, Infinity])/3584)*
    S[5, Infinity] - (63925*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (3*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - 29*S[5, -1, -1, Infinity]))/
    14 + (-215872*S[-7, -1, Infinity] - 37677*S[5, 3, Infinity] - 
     30336*S[-5, -1, -1, -1, Infinity] - 23424*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((587*S[-1, Infinity]^4)/1680 + 
     (183*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((153*S[-1, Infinity]^5)/1120 - (557*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (561*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (459*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-17*S[-1, Infinity]^6)/360 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1103*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -3, 1, -2, 1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (183*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (604071*S[2, Infinity]^4)/784000 + 
   ((-1115*S[-1, Infinity]^2)/448 - (239*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 - 
     (233*S[-1, Infinity]*S[2, Infinity])/224 - (23951*S[3, Infinity])/3584)*
    S[5, Infinity] + (4957*S[-1, Infinity]*S[7, Infinity])/448 + 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-65*S[-1, Infinity]^4)/672 + 
     (23*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (68*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-225280*S[-7, -1, Infinity] - 12757*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/1120 - 
     (293*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (701*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (251*S[-1, 1, 1, 1, 1, Infinity])/28), S[-1, -3, 1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (611*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (3216513*S[2, Infinity]^4)/784000 + 
   ((-645*S[-1, Infinity]^2)/224 - (305*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (2749*S[-1, Infinity]*S[2, Infinity])/224 - (86013*S[3, Infinity])/3584)*
    S[5, Infinity] + (4957*S[-1, Infinity]*S[7, Infinity])/448 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-47*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/42 - 
     (10*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (68800*S[-7, -1, Infinity] + 10607*S[5, 3, Infinity] + 
     48000*S[-5, -1, -1, -1, Infinity] - 48000*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((27*S[-1, Infinity]^5)/224 + 
     (4*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (335*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + (68*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, -1, 2, 1, Infinity] -> (6449*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (5799*S[2, Infinity]^4)/98000 + 
   ((153*S[-1, Infinity]^2)/56 - (1145*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/16 + (39455*S[-1, Infinity]*S[2, Infinity])/
      896 + (10023*S[3, Infinity])/224)*S[5, Infinity] + 
   (44739*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (207*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (302*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (1146560*S[-7, -1, Infinity] + 217533*S[5, 3, Infinity] + 
     174080*S[-5, -1, -1, -1, Infinity] + 121600*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((697*S[-1, Infinity]^4)/6720 - 
     (697*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-83*S[-1, Infinity]^5)/336 + 
     (401*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2703*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (190*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, -1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (383*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (1168411*S[2, Infinity]^4)/392000 + 
   ((487*S[-1, Infinity]^2)/112 - (865*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (12555*S[-1, Infinity]*S[2, Infinity])/448 + (20837*S[3, Infinity])/896)*
    S[5, Infinity] + (44739*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (66*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(16*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((391*S[-1, Infinity]^4)/560 + 
     (227*S[-1, 1, 1, 1, Infinity])/70) + 
   (93440*S[-7, -1, Infinity] + 33679*S[5, 3, Infinity] + 
     43520*S[-5, -1, -1, -1, Infinity] - 16640*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/336 + 
     (281*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (699*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (130*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/120 + (31*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity]), S[-1, -3, -1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/192 + (1857*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (42397*S[2, Infinity]^4)/117600 + 
   ((223*S[-1, Infinity]^2)/224 - (25871*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/32 + 
     (49125*S[-1, Infinity]*S[2, Infinity])/896 + (6661*S[3, Infinity])/112)*
    S[5, Infinity] + (73991*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (239*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 129*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-389*S[-1, Infinity]^4)/6720 - 
     (731*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (139472*S[-7, -1, Infinity] + 28317*S[5, 3, Infinity] + 
     23808*S[-5, -1, -1, -1, Infinity] + 13824*S[-5, -1, 1, 1, Infinity] - 
     2688*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-137*S[-1, Infinity]^5)/560 + 
     (397*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (49907*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (188*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2687*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-1, -3, -1, 1, -2, Infinity] -> S[-1, Infinity]^8/144 + 
   (429*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (68093*S[2, Infinity]^4)/588000 + 
   ((957*S[-1, Infinity]^2)/448 - (537*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-403*S[-1, Infinity]^3)/32 + (5969*S[-1, Infinity]*S[2, Infinity])/224 + 
     (74649*S[3, Infinity])/1792)*S[5, Infinity] + 
   (73991*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (155*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 129*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/168 - 
     (16*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (615040*S[-7, -1, Infinity] + 122517*S[5, 3, Infinity] + 
     92160*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-47*S[-1, Infinity]^5)/210 + 
     (181*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (38497*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (341*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1501*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -3, -1, -1, 2, Infinity] -> S[-1, Infinity]^8/192 + 
   (511*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (7626623*S[2, Infinity]^4)/
    2352000 + ((989*S[-1, Infinity]^2)/224 - (4485*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-341*S[-1, Infinity]^3)/16 + 
     (6477*S[-1, Infinity]*S[2, Infinity])/112 + (80305*S[3, Infinity])/896)*
    S[5, Infinity] + (59665*S[-1, Infinity]*S[7, Infinity])/896 - 
   (146*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-2111*S[-1, Infinity]^4)/3360 - 
     (759*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (285820*S[-7, -1, Infinity] + 54647*S[5, 3, Infinity] + 
     39360*S[-5, -1, -1, -1, Infinity] + 34560*S[-5, -1, 1, 1, Infinity] + 
     3360*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-137*S[-1, Infinity]^5)/280 + 
     (383*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (18891*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (341*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-2533*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-1, -3, -1, -1, -2, Infinity] -> (411*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 - (488699*S[2, Infinity]^4)/588000 + 
   ((32*S[-1, Infinity]^2)/7 - (19865*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-341*S[-1, Infinity]^3)/16 + (2293*S[-1, Infinity]*S[2, Infinity])/28 + 
     (697*S[3, Infinity])/7)*S[5, Infinity] + 
   (59665*S[-1, Infinity]*S[7, Infinity])/896 - 
   (202*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 48*S[5, -1, -1, Infinity]))/
    7 + (153200*S[-7, -1, Infinity] + 29707*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity])/
    560 + S[2, Infinity]^2*((103*S[-1, Infinity]^4)/1680 - 
     (174*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-223*S[-1, Infinity]^5)/420 + (209*S[-1, Infinity]^3*S[2, Infinity])/
      42 + (10513*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (376*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(1817*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-1, -3, -1, -2, 1, Infinity] -> S[-1, Infinity]^8/64 + 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (99321*S[2, Infinity]^4)/
    196000 + ((317*S[-1, Infinity]^2)/112 - (905*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/48 + 
     (5959*S[-1, Infinity]*S[2, Infinity])/448 + (39805*S[3, Infinity])/3584)*
    S[5, Infinity] + (1551*S[-1, Infinity]*S[7, Infinity])/112 - 
   (181*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((1831*S[-1, Infinity]^4)/3360 + 
     (59*S[-1, 1, 1, 1, Infinity])/140) - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/16 - (107*S[-5, -1, Infinity])/7 + 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (57180*S[-7, -1, Infinity] + 11937*S[5, 3, Infinity] + 
     9360*S[-5, -1, -1, -1, Infinity] + 5200*S[-5, -1, 1, 1, Infinity] + 
     10080*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-157*S[-1, Infinity]^5)/672 + 
     (575*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (2997*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, -1, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/36 + (1293*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (19221*S[2, Infinity]^4)/24500 + 
   ((-3*S[-1, Infinity]^2)/8 - (193*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-403*S[-1, Infinity]^3)/48 + (2371*S[-1, Infinity]*S[2, Infinity])/32 + 
     (63479*S[3, Infinity])/896)*S[5, Infinity] + 
   (1551*S[-1, Infinity]*S[7, Infinity])/112 - 
   (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(39*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity]))/
    14 - (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-263*S[-1, Infinity]^4)/336 + 
     (67*S[-1, 1, 1, 1, Infinity])/14) + 
   (82160*S[-7, -1, Infinity] + 17693*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] + 7040*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((-559*S[-1, Infinity]^5)/1120 + 
     (489*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (559*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (288*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - (316*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, -2, 1, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (1289*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1139059*S[2, Infinity]^4)/784000 + 
   ((-983*S[-1, Infinity]^2)/224 + (1181*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/24 + 
     (835*S[-1, Infinity]*S[2, Infinity])/448 - (26121*S[3, Infinity])/1792)*
    S[5, Infinity] - (3697*S[-1, Infinity]*S[7, Infinity])/448 + 
   (113*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*(24*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    14 + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-417*S[-1, Infinity]^4)/2240 + 
     (411*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (307*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-91040*S[-7, -1, Infinity] - 14531*S[5, 3, Infinity] - 
     6240*S[-5, -1, -1, -1, Infinity] - 16160*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((649*S[-1, Infinity]^5)/3360 - 
     (551*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (12441*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (101*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, -2, 1, -1, Infinity] -> 
  (-53*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (5149*S[2, Infinity]^4)/15680 + ((-2997*S[-1, Infinity]^2)/896 + 
     (2955*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/24 + (465*S[-1, Infinity]*S[2, Infinity])/224 - 
     (2673*S[3, Infinity])/224)*S[5, Infinity] - 
   (3697*S[-1, Infinity]*S[7, Infinity])/448 + 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (3*S[-1, Infinity]*(24*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    14 + (15488*S[-7, -1, Infinity] - 691*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 3072*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-2263*S[-1, Infinity]^4)/3360 - 
     (117*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/336 - 
     (557*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1189*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((23*S[-1, Infinity]^6)/240 - (325*S[-5, -1, Infinity])/
      28 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, -2, -1, 1, Infinity] -> -S[-1, Infinity]^8/64 + 
   (131*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (356119*S[2, Infinity]^4)/98000 + ((-3537*S[-1, Infinity]^2)/896 - 
     (1601*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 + (7593*S[-1, Infinity]*S[2, Infinity])/448 - 
     (67987*S[3, Infinity])/3584)*S[5, Infinity] + 
   (9547*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-53*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((107*S[-1, Infinity]^4)/672 - 
     (9*S[-1, 1, 1, 1, Infinity])/28) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-31420*S[-7, -1, Infinity] + 4051*S[5, 3, Infinity] + 
     8560*S[-5, -1, -1, -1, Infinity] - 14160*S[-5, -1, 1, 1, Infinity] - 
     10080*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((73*S[-1, Infinity]^5)/280 - 
     (169*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2469*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (263*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/120 + (729*S[-5, -1, Infinity])/
      28 - 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -3, -2, -1, -1, Infinity] -> -S[-1, Infinity]^8/36 - 
   (81*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + (325039*S[2, Infinity]^4)/
    196000 + ((-17*S[-1, Infinity]^2)/4 + (403*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/96 - 
     (1631*S[-1, Infinity]*S[2, Infinity])/64 - (39049*S[3, Infinity])/896)*
    S[5, Infinity] + (9547*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(-53*S[-5, 1, 1, Infinity] - 25*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((1819*S[-1, Infinity]^4)/1680 - 
     (279*S[-1, 1, 1, 1, Infinity])/70) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-390720*S[-7, -1, Infinity] - 50523*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] - 74240*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((2237*S[-1, Infinity]^5)/3360 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1277*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (31*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (288*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + (302*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -4, 1, 1, 1, Infinity] -> (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (161*S[2, Infinity]^4)/8000 + ((15*S[-1, Infinity]^2)/16 - 
     (21*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 - (19*S[-1, Infinity]*S[2, Infinity])/32 + 
     (1105*S[3, Infinity])/256)*S[5, Infinity] - 
   (147*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   3*S[2, Infinity]*S[-5, -1, Infinity] - 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 + 
   (3520*S[-7, -1, Infinity] - 169*S[5, 3, Infinity] + 
     1920*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/80 - (3*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/40 + (S[-1, Infinity]^3*S[2, Infinity])/
      4 + (17*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -4, 1, 1, -1, Infinity] -> 
  (2309*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (63601*S[2, Infinity]^4)/392000 + 
   ((285*S[-1, Infinity]^2)/224 - (979*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 + 
     (6621*S[-1, Infinity]*S[2, Infinity])/448 + (22271*S[3, Infinity])/1792)*
    S[5, Infinity] - (147*S[-1, Infinity]*S[7, Infinity])/128 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 + 
   (208480*S[-7, -1, Infinity] + 50487*S[5, 3, Infinity] + 
     38400*S[-5, -1, -1, -1, Infinity] + 19840*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((1391*S[-1, Infinity]^4)/6720 + 
     (9*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/224 + (9*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (503*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (45*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 - (215*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -4, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (1027*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2388317*S[2, Infinity]^4)/784000 + 
   ((3113*S[-1, Infinity]^2)/896 - (9585*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/64 + 
     (103*S[-1, Infinity]*S[2, Infinity])/7 + (69221*S[3, Infinity])/1792)*
    S[5, Infinity] + (18651*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-79*S[-1, Infinity]^4)/280 - 
     (121*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (756480*S[-7, -1, Infinity] + 139197*S[5, 3, Infinity] + 
     74880*S[-5, -1, -1, -1, Infinity] + 117760*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/420 + 
     (111*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5655*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (156*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - (529*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -4, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/192 + 
   (345*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (1150019*S[2, Infinity]^4)/784000 + 
   ((1221*S[-1, Infinity]^2)/448 - (4147*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/64 + 
     (353*S[-1, Infinity]*S[2, Infinity])/28 + (131175*S[3, Infinity])/3584)*
    S[5, Infinity] + (18651*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (137*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(54*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/168 + 
     (3*S[-1, 1, 1, 1, Infinity])/14) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (546880*S[-7, -1, Infinity] + 96809*S[5, 3, Infinity] + 
     54400*S[-5, -1, -1, -1, Infinity] + 93440*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-4*S[-1, Infinity]^5)/21 + 
     (113*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (12261*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (675*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 - (759*S[-5, -1, Infinity])/
      28 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -4, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (1317*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (164403*S[2, Infinity]^4)/156800 + 
   ((39*S[-1, Infinity]^2)/896 + (18897*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((403*S[-1, Infinity]^3)/64 - 
     (22515*S[-1, Infinity]*S[2, Infinity])/448 - (36279*S[3, Infinity])/896)*
    S[5, Infinity] - (33669*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((761*S[-1, Infinity]^4)/6720 + 
     (219*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-52968*S[-7, -1, Infinity] - 10839*S[5, 3, Infinity] - 
     9056*S[-5, -1, -1, -1, Infinity] - 4832*S[-5, -1, 1, 1, Infinity] - 
     448*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((311*S[-1, Infinity]^5)/1120 - 
     (421*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (41129*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (137*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 + (1017*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -4, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (1481*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (10671*S[2, Infinity]^4)/39200 + ((-43*S[-1, Infinity]^2)/32 + 
     (3435*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((403*S[-1, Infinity]^3)/64 - (2449*S[-1, Infinity]*S[2, Infinity])/64 - 
     (71079*S[3, Infinity])/1792)*S[5, Infinity] - 
   (33669*S[-1, Infinity]*S[7, Infinity])/1792 + 
   10*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-38*S[-5, 1, 1, Infinity] + 53*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((47*S[-1, Infinity]^4)/560 - 
     (71*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-165376*S[-7, -1, Infinity] - 32183*S[5, 3, Infinity] - 
     26112*S[-5, -1, -1, -1, Infinity] - 16896*S[-5, -1, 1, 1, Infinity] - 
     10752*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((33*S[-1, Infinity]^5)/112 - 
     (689*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (4739*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (355*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 + (216*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -4, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/192 - 
   (167*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (79593*S[2, Infinity]^4)/98000 + ((65*S[-1, Infinity]^2)/224 + 
     (6057*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((527*S[-1, Infinity]^3)/48 - (25451*S[-1, Infinity]*S[2, Infinity])/448 - 
     (178323*S[3, Infinity])/3584)*S[5, Infinity] - 
   (69865*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (205*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 113*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((493*S[-1, Infinity]^4)/840 + 
     (239*S[-1, 1, 1, 1, Infinity])/70) + 
   (-1387360*S[-7, -1, Infinity] - 291271*S[5, 3, Infinity] - 
     241280*S[-5, -1, -1, -1, Infinity] - 126080*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((191*S[-1, Infinity]^5)/1680 - 
     (443*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (48609*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (697*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/240 + (1327*S[-5, -1, Infinity])/
      28 + (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-1, -4, -1, -1, -1, Infinity] -> 
  (-2441*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (212767*S[2, Infinity]^4)/392000 + 
   ((173*S[-1, Infinity]^2)/112 + (7425*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((527*S[-1, Infinity]^3)/48 - 
     (16171*S[-1, Infinity]*S[2, Infinity])/224 - (58937*S[3, Infinity])/896)*
    S[5, Infinity] - (69865*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (131*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (384*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-34*S[-5, 1, 1, Infinity] + 113*S[5, -1, -1, Infinity]))/
    14 + (-12655*S[-7, -1, Infinity] - 2712*S[5, 3, Infinity] - 
     2280*S[-5, -1, -1, -1, Infinity] - 1080*S[-5, -1, 1, 1, Infinity])/70 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/35 + 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/35 - (249*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (29917*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 3, 1, 1, 1, Infinity] -> 
  (-27*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (40297*S[2, Infinity]^4)/196000 + 
   ((-45*S[-1, Infinity]^2)/112 - (549*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (153*S[-1, Infinity]*S[2, Infinity])/112 + (379*S[3, Infinity])/112)*
    S[5, Infinity] + (283*S[-1, Infinity]*S[7, Infinity])/28 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/
    14 + (38720*S[-7, -1, Infinity] + 25233*S[5, 3, Infinity] + 
     19200*S[-5, -1, -1, -1, Infinity] - 5760*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/560 + 
     (9*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/280 - (3*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (15*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 3, 1, 1, -1, Infinity] -> 
  (-181*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (64109*S[2, Infinity]^4)/39200 + ((1143*S[-1, Infinity]^2)/896 + 
     (3905*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/64 - (3555*S[-1, Infinity]*S[2, Infinity])/224 - 
     (24033*S[3, Infinity])/3584)*S[5, Infinity] + 
   (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-84352*S[-7, -1, Infinity] - 18145*S[5, 3, Infinity] - 
     14592*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((851*S[-1, Infinity]^4)/6720 - 
     (11*S[-1, 1, 1, 1, Infinity])/280) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/224 - (29*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1581*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (45*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (377*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 3, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (1191*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1818519*S[2, Infinity]^4)/784000 + 
   ((-621*S[-1, Infinity]^2)/896 - (4895*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 + 
     (11295*S[-1, Infinity]*S[2, Infinity])/896 + (35117*S[3, Infinity])/
      3584)*S[5, Infinity] - (69*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-8*S[-1, Infinity]^4)/35 + 
     (69*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (239360*S[-7, -1, Infinity] + 43821*S[5, 3, Infinity] + 
     44160*S[-5, -1, -1, -1, Infinity] + 14080*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/224 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (2241*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (165*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-347*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 3, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/96 + 
   (5429*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (302811*S[2, Infinity]^4)/196000 + 
   ((249*S[-1, Infinity]^2)/112 - (1241*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 + 
     (34357*S[-1, Infinity]*S[2, Infinity])/896 + (35061*S[3, Infinity])/
      1792)*S[5, Infinity] - (409*S[-1, Infinity]*S[7, Infinity])/512 - 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-111*S[-1, Infinity]^4)/448 + 
     (165*S[-1, 1, 1, 1, Infinity])/56) + 
   (300400*S[-7, -1, Infinity] + 60873*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 25280*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-311*S[-1, Infinity]^5)/672 + 
     (397*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (15573*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (165*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - (547*S[-5, -1, Infinity])/28 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 3, -1, 1, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (19*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (42131*S[2, Infinity]^4)/
    16000 + ((27*S[-1, Infinity]^2)/32 + (2065*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-237*S[-1, Infinity]*S[2, Infinity])/8 - 
     (305*S[3, Infinity])/32)*S[5, Infinity] + 3*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + S[2, Infinity]^2*((7*S[-1, Infinity]^4)/960 - 
     (67*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-1240*S[-7, -1, Infinity] - 473*S[5, 3, Infinity] - 
     480*S[-5, -1, -1, -1, Infinity] + 280*S[-5, -1, 1, 1, Infinity] - 
     240*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/160 - (3*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (1143*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    (S[-1, Infinity]^6/40 - (19*S[-5, -1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 3, -1, 1, -1, Infinity] -> (1237*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (3603731*S[2, Infinity]^4)/784000 + 
   ((5091*S[-1, Infinity]^2)/896 + (739*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/64 - 
     (5899*S[-1, Infinity]*S[2, Infinity])/448 + (98477*S[3, Infinity])/3584)*
    S[5, Infinity] - (32289*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(57*S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity]))/
    14 + (504320*S[-7, -1, Infinity] + 26557*S[5, 3, Infinity] - 
     75520*S[-5, -1, -1, -1, Infinity] + 209920*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((401*S[-1, Infinity]^4)/1120 - 
     (363*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-291*S[-1, Infinity]^5)/1120 + 
     (775*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (13809*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (157*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 - (761*S[-5, -1, Infinity])/28 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 3, -1, -1, 1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (1263*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (513963*S[2, Infinity]^4)/98000 + ((1475*S[-1, Infinity]^2)/896 + 
     (7717*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/64 - (20575*S[-1, Infinity]*S[2, Infinity])/448 + 
     (171*S[3, Infinity])/28)*S[5, Infinity] + 
   (2035*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (251*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-22*S[-5, 1, 1, Infinity] - 43*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-1349*S[-1, Infinity]^4)/6720 - 
     (1171*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 + (3*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-786560*S[-7, -1, Infinity] - 166627*S[5, 3, Infinity] - 
     220160*S[-5, -1, -1, -1, Infinity] + 32000*S[-5, -1, 1, 1, Infinity] - 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((281*S[-1, Infinity]^5)/672 - 
     (173*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (5449*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/28), S[-2, 3, -1, -1, -1, Infinity] -> 
  (-1233*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1730077*S[2, Infinity]^4)/784000 + 
   ((437*S[-1, Infinity]^2)/112 + (4239*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-25491*S[-1, Infinity]*S[2, Infinity])/448 - 
     (98815*S[3, Infinity])/3584)*S[5, Infinity] + 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (123*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (-1244160*S[-7, -1, Infinity] - 300661*S[5, 3, Infinity] - 
     257280*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/420 + 
     (22*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/210 - (233*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (26519*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (44*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 2, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/288 + (53*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (4519*S[2, Infinity]^4)/22400 + ((209*S[-1, Infinity]^2)/32 + 
     (179*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 - (17*S[-1, Infinity]*S[2, Infinity])/4 - 
     (579*S[3, Infinity])/128)*S[5, Infinity] - 
   (5303*S[-1, Infinity]*S[7, Infinity])/512 - 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 4*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + S[2, Infinity]^2*((41*S[-1, Infinity]^4)/240 - 
     (11*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - 20*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1720*S[-7, -1, Infinity] - 87*S[5, 3, Infinity] - 
     256*S[-5, -1, -1, -1, Infinity] + 512*S[-5, -1, 1, 1, Infinity] + 
     128*S[-1, 1, 1, 1, Infinity]^2)/64 + S[3, Infinity]*
    ((-67*S[-1, Infinity]^5)/240 + (53*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (433*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     16*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 2, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (57*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (65507*S[2, Infinity]^4)/28000 + ((-169*S[-1, Infinity]^2)/32 - 
     (169*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/24 - (43*S[-1, Infinity]*S[2, Infinity])/128 + 
     (1119*S[3, Infinity])/256)*S[5, Infinity] + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    ((49*S[-1, Infinity]^4)/160 - (27*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-99520*S[-7, -1, Infinity] - 7881*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] - 
     15360*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((67*S[-1, Infinity]^5)/120 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (1463*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (29*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(-15*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[-2, 2, 2, -1, 1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (15*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (124007*S[2, Infinity]^4)/
    14000 + ((-21*S[-1, Infinity]^2)/8 + (3*S[2, Infinity])/2)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 - 
     (2347*S[-1, Infinity]*S[2, Infinity])/64 + (9711*S[3, Infinity])/256)*
    S[5, Infinity] + 7*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/120 - 
     (37*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (4480*S[-7, -1, Infinity] - 1591*S[5, 3, Infinity] - 
     4480*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/16 - 
     (14*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (301*S[-1, Infinity]*S[2, Infinity]^2)/32 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (35*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/60 - 32*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, 2, -1, -1, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (48347*S[2, Infinity]^4)/7000 + ((69*S[-1, Infinity]^2)/8 + 
     (9*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/12 - (835*S[-1, Infinity]*S[2, Infinity])/32 + 
     (2995*S[3, Infinity])/64)*S[5, Infinity] - 
   (643*S[-1, Infinity]*S[7, Infinity])/64 - 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 2*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + (5760*S[-7, -1, Infinity] + 
     347*S[5, 3, Infinity] - 640*S[-5, -1, -1, -1, Infinity] + 
     1920*S[-5, -1, 1, 1, Infinity])/80 + S[2, Infinity]^2*
    ((-4*S[-1, Infinity]^4)/5 - (24*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/60 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (941*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     46*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/10 - 56*S[-5, -1, Infinity] - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, 1, 2, 1, Infinity] -> S[-1, Infinity]^8/288 - 
   (121*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (6131*S[2, Infinity]^4)/6125 + ((-141*S[-1, Infinity]^2)/112 - 
     (953*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((19*S[-1, Infinity]*S[2, Infinity])/112 + (1963*S[3, Infinity])/1792)*
    S[5, Infinity] + (41427*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((179*S[-1, Infinity]^4)/1680 + 
     (31*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + (38*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (37760*S[-7, -1, Infinity] + 41539*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/1680 + 
     (S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1599*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (41*S[-1, 1, 1, 1, 1, Infinity])/14), S[-2, 2, 1, 2, -1, Infinity] -> 
  (7*S[-1, Infinity]^8)/288 + (1061*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (320739*S[2, Infinity]^4)/392000 + 
   ((649*S[-1, Infinity]^2)/224 + (1535*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-1185*S[-1, Infinity]*S[2, Infinity])/112 + 
     (4811*S[3, Infinity])/896)*S[5, Infinity] + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-481*S[-1, Infinity]^4)/1120 + 
     (1023*S[-1, 1, 1, 1, Infinity])/140) + 
   (-36320*S[-7, -1, Infinity] - 11881*S[5, 3, Infinity] - 
     12160*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] + 
     62720*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-229*S[-1, Infinity]^5)/420 + 
     (51*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1859*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/120 - (38*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, 1, 1, 2, Infinity] -> S[-1, Infinity]^8/288 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/4 + (36817*S[2, Infinity]^4)/168000 + 
   ((33*S[-1, Infinity]^2)/32 + (217*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-295*S[-1, Infinity]*S[2, Infinity])/128 - (871*S[3, Infinity])/128)*
    S[5, Infinity] + (2127*S[-1, Infinity]*S[7, Infinity])/512 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 2*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/40 - (3*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (2920*S[-7, -1, Infinity] - 177*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/16 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/72 + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-41*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-2, 2, 1, 1, -2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (62057*S[2, Infinity]^4)/
    33600 + ((-7*S[-1, Infinity]^2)/4 - (443*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]*S[2, Infinity])/8 + 
     (667*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/96 - (7*S[-1, 1, 1, 1, Infinity])/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-451*S[5, 3, Infinity] - 1536*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((53*S[-1, Infinity]^5)/240 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/32 - 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (13*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/72 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - 2*(-3*S[-5, -1, Infinity] - 
       2*S[-1, 1, 1, 1, 1, 1, Infinity])), S[-2, 2, 1, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/288 - (1933*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (11510311*S[2, Infinity]^4)/2352000 + 
   ((1193*S[-1, Infinity]^2)/448 - (619*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((6711*S[-1, Infinity]*S[2, Infinity])/896 + 
     (2731*S[3, Infinity])/3584)*S[5, Infinity] - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((2399*S[-1, Infinity]^4)/6720 + 
     (681*S[-1, 1, 1, 1, Infinity])/280) + 
   (-7680*S[-7, -1, Infinity] + 7437*S[5, 3, Infinity] + 
     11520*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/420 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (9619*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (541*S[-5, -1, Infinity] - 
       1232*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 2, 1, -1, -2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (539*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (16150529*S[2, Infinity]^4)/
    2352000 + ((-4491*S[-1, Infinity]^2)/224 - (6723*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (1285*S[-1, Infinity]*S[2, Infinity])/112 - (184397*S[3, Infinity])/
      3584)*S[5, Infinity] + (369885*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-121*S[-5, 1, 1, Infinity] - 93*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-95*S[-1, Infinity]^4)/224 - 
     (163*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-744640*S[-7, -1, Infinity] - 14641*S[5, 3, Infinity] + 
     163840*S[-5, -1, -1, -1, Infinity] - 378880*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((463*S[-1, Infinity]^5)/420 - 
     (1397*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3373*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     18*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (296*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((73*S[-1, Infinity]^6)/360 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (2571*S[-5, -1, Infinity] + 
       224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 2, 1, -2, 1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (9081*S[2, Infinity]^4)/
    28000 + ((-35*S[-1, Infinity]^2)/32 - (173*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((279*S[-1, Infinity]*S[2, Infinity])/128 - 
     (1469*S[3, Infinity])/512)*S[5, Infinity] + 
   S[2, Infinity]^2*((-27*S[-1, Infinity]^4)/80 - 
     (9*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 + (9*S[-5, -1, Infinity])/8 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1799*S[5, 3, Infinity] - 7680*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/240 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 2, 1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/72 - (47*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (1349141*S[2, Infinity]^4)/784000 + 
   ((99*S[-1, Infinity]^2)/32 + (327*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((83*S[-1, Infinity]*S[2, Infinity])/8 - (50773*S[3, Infinity])/3584)*
    S[5, Infinity] - (32499*S[-1, Infinity]*S[7, Infinity])/3584 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/42 - 
     (40*S[-1, 1, 1, 1, Infinity])/7) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (270400*S[-7, -1, Infinity] - 10617*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     143360*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((173*S[-1, Infinity]^5)/1680 + 
     (169*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (309*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, 1, 1, 1, 1, Infinity]/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/30 - (8*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, -1, 2, 1, Infinity] -> (7*S[-1, Infinity]^8)/288 + 
   (211*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (679793*S[2, Infinity]^4)/
    112000 + ((-67*S[-1, Infinity]^2)/32 - (1127*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((10725*S[-1, Infinity]*S[2, Infinity])/128 + 
     (453*S[3, Infinity])/32)*S[5, Infinity] - 9*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/480 + 
     (247*S[-1, 1, 1, 1, Infinity])/20) + 
   (18240*S[-7, -1, Infinity] + 20729*S[5, 3, Infinity] + 
     46080*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-21*S[-1, Infinity]^5)/80 + 
     (49*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (1549*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     14*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-23*S[-1, Infinity]^6)/120 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(71*S[-5, -1, Infinity] - 48*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, 2, -1, 2, -1, Infinity] -> S[-1, Infinity]^8/36 + 
   (327*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (26597*S[2, Infinity]^4)/2800 + ((73*S[-1, Infinity]^2)/28 + 
     (285*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (23021*S[-1, Infinity]*S[2, Infinity])/448 - 
     (7615*S[3, Infinity])/128)*S[5, Infinity] - 
   (40407*S[-1, Infinity]*S[7, Infinity])/896 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 65*S[5, -1, -1, Infinity]))/
    7 - (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/15 + 
     (76*S[-1, 1, 1, 1, Infinity])/5) + 
   (-2560*S[-7, -1, Infinity] - 427*S[5, 3, Infinity] - 
     128*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] + 
     512*S[-1, 1, 1, 1, Infinity]^2)/32 + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/12 + (119*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (167*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     35*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + 52*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     30*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, -1, 1, 2, Infinity] -> S[-1, Infinity]^8/288 + 
   (1761*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (10991597*S[2, Infinity]^4)/2352000 + 
   ((-269*S[-1, Infinity]^2)/448 - (239*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((4041*S[-1, Infinity]*S[2, Infinity])/896 + 
     (57609*S[3, Infinity])/3584)*S[5, Infinity] - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-65*S[-1, Infinity]^4)/336 + 
     (51*S[-1, 1, 1, 1, Infinity])/14) + 
   (36800*S[-7, -1, Infinity] + 60001*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] - 24320*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-33*S[-1, Infinity]^5)/560 + 
     (33*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1145*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (73*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-81*S[-5, -1, Infinity] + 
       280*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, 2, -1, 1, -2, Infinity] -> -S[-1, Infinity]^8/48 - 
   (1573*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2292761*S[2, Infinity]^4)/336000 + 
   ((-3839*S[-1, Infinity]^2)/224 - (3807*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (1677*S[-1, Infinity]*S[2, Infinity])/112 - (6775*S[3, Infinity])/256)*
    S[5, Infinity] + (109973*S[-1, Infinity]*S[7, Infinity])/896 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-79*S[-5, 1, 1, Infinity] - 107*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-191*S[-1, Infinity]^4)/480 - 
     (189*S[-1, 1, 1, 1, Infinity])/20) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (68480*S[-7, -1, Infinity] + 
     17073*S[5, 3, Infinity] + 25600*S[-5, -1, -1, -1, Infinity] - 
     10240*S[-5, -1, 1, 1, Infinity] - 15360*S[-1, 1, 1, 1, Infinity]^2)/
    1280 + S[3, Infinity]*((121*S[-1, Infinity]^5)/120 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (11733*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((91*S[-1, Infinity]^6)/360 - 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (47*S[-5, -1, Infinity] - 
       8*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[-2, 2, -1, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/72 + (1653*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (348511*S[2, Infinity]^4)/1176000 + 
   ((345*S[-1, Infinity]^2)/56 - (4127*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (19639*S[-1, Infinity]*S[2, Infinity])/448 + (32437*S[3, Infinity])/896)*
    S[5, Infinity] + (123*S[-1, Infinity]*S[7, Infinity])/32 - 
   (108*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   8*S[-1, Infinity]*S[-5, 1, 1, Infinity] - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((611*S[-1, Infinity]^4)/1680 + 
     (229*S[-1, 1, 1, 1, Infinity])/70) + 
   (418560*S[-7, -1, Infinity] + 88873*S[5, 3, Infinity] + 
     66560*S[-5, -1, -1, -1, Infinity] + 40960*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-323*S[-1, Infinity]^5)/420 + 
     (851*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2833*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (156*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/180 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-361*S[-5, -1, Infinity] - 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, 2, -1, -1, -2, Infinity] -> (172*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 + (13984111*S[2, Infinity]^4)/1176000 + 
   ((-187*S[-1, Infinity]^2)/112 + (383*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-2771*S[-1, Infinity]*S[2, Infinity])/224 - 
     (16689*S[3, Infinity])/1792)*S[5, Infinity] + 
   (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (48000*S[-7, -1, Infinity] + 1313*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-923*S[-1, Infinity]^4)/1680 + 
     (83*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/336 - (39*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (3347*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (215*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/9 - 28*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (11*(53*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-2, 2, -1, -2, 1, Infinity] -> (-53*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (165737*S[2, Infinity]^4)/392000 + 
   ((23*S[-1, Infinity]^2)/16 + (6765*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (165*S[-1, Infinity]*S[2, Infinity])/16 - 
     (99367*S[3, Infinity])/3584)*S[5, Infinity] - 
   (146739*S[-1, Infinity]*S[7, Infinity])/3584 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (20*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(23*S[-5, 1, 1, Infinity] + 79*S[5, -1, -1, Infinity]))/
    7 + (-331840*S[-7, -1, Infinity] - 141259*S[5, 3, Infinity] - 
     130560*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/140 - 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-37*S[-1, Infinity]^5)/1680 + (37*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (759*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/14), S[-2, 2, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/72 - (857*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2668429*S[2, Infinity]^4)/196000 + 
   ((-551*S[-1, Infinity]^2)/112 - (11155*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((14499*S[-1, Infinity]*S[2, Infinity])/448 + 
     (105545*S[3, Infinity])/1792)*S[5, Infinity] - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/280 - 
     (207*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (86720*S[-7, -1, Infinity] + 19749*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] + 23680*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((193*S[-1, Infinity]^5)/560 - 
     (157*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (3121*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (401*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/60 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 18*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(37*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, 2, -2, 1, 1, Infinity] -> -S[-1, Infinity]^8/144 + 
   (133*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (1691*S[2, Infinity]^4)/1120 + ((49*S[-1, Infinity]^2)/32 - 
     (19*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/32 + (771*S[3, Infinity])/128)*
    S[5, Infinity] + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-73*S[-1, Infinity]^4)/480 + 
     (133*S[-1, 1, 1, 1, Infinity])/20) + 
   (119*S[5, 3, Infinity] - 256*S[-1, 1, 1, 1, Infinity]^2)/64 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/120 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (931*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[-2, 2, -2, 1, -1, Infinity] -> (-5*S[-1, Infinity]^8)/144 - 
   (179*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (1357*S[2, Infinity]^4)/280 + ((-321*S[-1, Infinity]^2)/32 - 
     (465*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (1469*S[-1, Infinity]*S[2, Infinity])/64 - 
     (257*S[3, Infinity])/16)*S[5, Infinity] + 
   (4969*S[-1, Infinity]*S[7, Infinity])/64 - 3*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 2*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 
     5*S[5, -1, -1, Infinity]) + S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/6 - 
     14*S[-1, 1, 1, 1, Infinity]) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (7680*S[-7, -1, Infinity] + 1909*S[5, 3, Infinity] + 
     2304*S[-5, -1, -1, -1, Infinity] - 768*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/128 + 
   S[3, Infinity]*((67*S[-1, Infinity]^5)/80 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (221*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     13*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((7*S[-1, Infinity]^6)/15 + 6*S[-5, -1, Infinity] - 
     10*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, -2, -1, 1, Infinity] -> -S[-1, Infinity]^8/36 - 
   (201*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (151589*S[2, Infinity]^4)/
    14000 + ((-167*S[-1, Infinity]^2)/8 - (103*S[2, Infinity])/8)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (199*S[-1, Infinity]*S[2, Infinity])/8 - (34877*S[3, Infinity])/512)*
    S[5, Infinity] + (60295*S[-1, Infinity]*S[7, Infinity])/512 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (3*S[-5, 1, 1, Infinity] + 4*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/30 - 
     (56*S[-1, 1, 1, 1, Infinity])/5) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + 46*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (160*S[-7, -1, Infinity] + 187*S[5, 3, Infinity] + 
     480*S[-5, -1, -1, -1, Infinity] - 480*S[-5, -1, 1, 1, Infinity] - 
     320*S[-1, 1, 1, 1, Infinity]^2)/20 + S[3, Infinity]*
    ((311*S[-1, Infinity]^5)/240 - (101*S[-1, Infinity]^3*S[2, Infinity])/
      24 - (1581*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (101*S[-1, 1, 1, 1, 1, Infinity])/2), S[-2, 2, -2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (40319*S[2, Infinity]^4)/4000 + ((5*S[-1, Infinity]^2)/4 + 
     (287*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((207*S[-1, Infinity]*S[2, Infinity])/32 - (3005*S[3, Infinity])/64)*
    S[5, Infinity] - S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/30 + 
     (38*S[-1, 1, 1, 1, Infinity])/5) + 
   (-33280*S[-7, -1, Infinity] - 2371*S[5, 3, Infinity] + 
     3840*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/120 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (171*S[-1, Infinity]*S[2, Infinity]^2)/40 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 41*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/60 + 14*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 8*(-4*S[-5, -1, Infinity] - 
       3*S[-1, 1, 1, 1, 1, 1, Infinity])), S[-2, 1, 3, 1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (23983*S[2, Infinity]^4)/
    112000 + ((-5*S[-1, Infinity]^2)/16 + (25*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 + 
     (31*S[-1, Infinity]*S[2, Infinity])/32 - (1109*S[3, Infinity])/512)*
    S[5, Infinity] - (635*S[-1, Infinity]*S[7, Infinity])/256 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   2*S[2, Infinity]*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   (-10240*S[-7, -1, Infinity] - 3081*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(-S[-1, Infinity]^4/240 + 
     S[-1, 1, 1, 1, Infinity]/10) + S[3, Infinity]*
    (S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (161*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 3, 1, -1, Infinity] -> 
  (11*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + (17159*S[2, Infinity]^4)/
    112000 + ((13*S[-1, Infinity]^2)/128 - (231*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 + 
     (133*S[-1, Infinity]*S[2, Infinity])/128 + (465*S[3, Infinity])/256)*
    S[5, Infinity] - S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (12160*S[-7, -1, Infinity] + 1991*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/480 - 
     S[-1, 1, 1, 1, Infinity]/20) + S[3, Infinity]*
    (-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (211*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     2*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-3*S[-1, Infinity]^6)/80 - (7*S[-5, -1, Infinity])/2 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, 3, -1, 1, Infinity] -> (27*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 + (2553*S[2, Infinity]^4)/7000 + 
   ((-45*S[-1, Infinity]^2)/128 - (1023*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/96 + 
     (2417*S[-1, Infinity]*S[2, Infinity])/128 - (1489*S[3, Infinity])/512)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (-1600*S[-7, -1, Infinity] + 781*S[5, 3, Infinity] + 
     1600*S[-5, -1, -1, -1, Infinity] - 2240*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*((49*S[-1, Infinity]^4)/480 + 
     (11*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/480 + (35*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (377*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    (S[-1, Infinity]^6/240 - (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 + 9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(19*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, 1, 3, -1, -1, Infinity] -> (-67*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (2027863*S[2, Infinity]^4)/784000 + 
   ((-41*S[-1, Infinity]^2)/16 - S[2, Infinity]/28)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 + (591*S[-1, Infinity]*S[2, Infinity])/128 - 
     (13085*S[3, Infinity])/896)*S[5, Infinity] + 
   (43205*S[-1, Infinity]*S[7, Infinity])/3584 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    7 + (-251200*S[-7, -1, Infinity] - 31891*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] - 102400*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((17*S[-1, Infinity]^4)/84 + 
     (8*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((271*S[-1, Infinity]^5)/3360 + (85*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (833*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (271*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + (94*S[-5, -1, Infinity])/7 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, 2, 2, 1, Infinity] -> (-69*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (1154417*S[2, Infinity]^4)/784000 + 
   ((-115*S[-1, Infinity]^2)/56 - (1035*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((23*S[-1, Infinity]*S[2, Infinity])/112 + 
     (37633*S[3, Infinity])/3584)*S[5, Infinity] - 
   (10173*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (46*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (23*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-116320*S[-7, -1, Infinity] + 28437*S[5, 3, Infinity] + 
     29440*S[-5, -1, -1, -1, Infinity] - 29440*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/840 + 
     (23*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/420 - (23*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1817*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, 2, 2, -1, Infinity] -> 
  (-11*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (1343441*S[2, Infinity]^4)/
    392000 + ((667*S[-1, Infinity]^2)/224 + (3279*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-4695*S[-1, Infinity]*S[2, Infinity])/896 - 
     (13255*S[3, Infinity])/1792)*S[5, Infinity] + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (125120*S[-7, -1, Infinity] - 44701*S[5, 3, Infinity] - 
     58880*S[-5, -1, -1, -1, Infinity] + 58880*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-143*S[-1, Infinity]^4)/1680 - 
     (67*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/420 + (23*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (253*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (46*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-305*S[-5, -1, Infinity] - 
       1008*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 1, 2, 1, 2, Infinity] -> (-116723*S[2, Infinity]^4)/112000 - 
   (181*S[2, Infinity]*S[3, Infinity]^2)/256 + 
   ((465*S[-1, Infinity]*S[2, Infinity])/128 + (3221*S[3, Infinity])/512)*
    S[5, Infinity] - (4191*S[-1, Infinity]*S[7, Infinity])/256 + 
   (15*S[2, Infinity]*S[-5, -1, Infinity])/8 + 
   (-21120*S[-7, -1, Infinity] - 3019*S[5, 3, Infinity])/2560, 
 S[-2, 1, 2, 1, -2, Infinity] -> (-260999*S[2, Infinity]^4)/112000 + 
   (899*S[2, Infinity]*S[3, Infinity]^2)/256 + 
   ((-2325*S[-1, Infinity]*S[2, Infinity])/128 + (53*S[3, Infinity])/512)*
    S[5, Infinity] - (75*S[2, Infinity]*S[-5, -1, Infinity])/8 + 
   (3769*S[5, 3, Infinity])/1280, S[-2, 1, 2, -1, 2, Infinity] -> 
  (-73*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + (238127*S[2, Infinity]^4)/
    56000 - (63*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/64 + 
   (1337*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((-3813*S[-1, Infinity]*S[2, Infinity])/128 - (4703*S[3, Infinity])/512)*
    S[5, Infinity] + (-8320*S[-7, -1, Infinity] - 3269*S[5, 3, Infinity])/
    1280 + S[2, Infinity]^2*((313*S[-1, Infinity]^4)/960 - 
     (73*S[-1, 1, 1, 1, Infinity])/40) + S[2, Infinity]*
    (-S[-1, Infinity]^6/10 - 17*S[-5, -1, Infinity] + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     36*S[-1, 1, 1, 1, 1, 1, Infinity]), S[-2, 1, 2, -1, -2, Infinity] -> 
  S[-1, Infinity]^8/144 + (19*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (81793*S[2, Infinity]^4)/11200 + ((187*S[-1, Infinity]^2)/16 + 
     (1771*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((-25*S[-1, Infinity]*S[2, Infinity])/2 + (9287*S[3, Infinity])/256)*
    S[5, Infinity] - (20511*S[-1, Infinity]*S[7, Infinity])/256 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 8*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/80 + 
     (27*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (199*S[-5, -1, Infinity])/8 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-5440*S[-7, -1, Infinity] - 2501*S[5, 3, Infinity] - 
     6144*S[-5, -1, -1, -1, Infinity] + 6144*S[-5, -1, 1, 1, Infinity] + 
     2048*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/120 + 
     (15*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (169*S[-1, Infinity]*S[2, Infinity]^2)/20 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, 2, -2, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (3009*S[2, Infinity]^4)/2000 + 
   (249*S[2, Infinity]*S[3, Infinity]^2)/256 + 
   ((465*S[-1, Infinity]*S[2, Infinity])/128 + (2379*S[3, Infinity])/512)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-21*S[-1, Infinity]^4)/40 + 
     (18*S[-1, 1, 1, 1, Infinity])/5) + 
   (1799*S[5, 3, Infinity] + 7680*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/80 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(5*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[-2, 1, 2, -2, -1, Infinity] -> S[-1, Infinity]^8/72 + 
   (529*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1349141*S[2, Infinity]^4)/784000 + 
   ((53*S[-1, Infinity]^2)/16 - (41*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((29*S[-1, Infinity]*S[2, Infinity])/4 + (421*S[3, Infinity])/28)*
    S[5, Infinity] - (62763*S[-1, Infinity]*S[7, Infinity])/1792 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/42 + 
     (40*S[-1, 1, 1, 1, Infinity])/7) + 
   (-270400*S[-7, -1, Infinity] + 10617*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-16*S[-1, Infinity]^5)/35 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1101*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 + (8*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, 1, 3, 1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (580187*S[2, Infinity]^4)/
    784000 + ((-163*S[-1, Infinity]^2)/448 + (187*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-9*S[-1, Infinity]*S[2, Infinity])/224 - 
     (13085*S[3, Infinity])/1792)*S[5, Infinity] + 
   (1075*S[-1, Infinity]*S[7, Infinity])/224 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (9*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/1680 - 
     (43*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - (9*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (655*S[-7, -1, Infinity] - 173*S[5, 3, Infinity] - 
     90*S[-5, -1, -1, -1, Infinity] + 90*S[-5, -1, 1, 1, Infinity] - 
     140*S[-1, 1, 1, 1, Infinity]^2)/140 + 
   S[3, Infinity]*((209*S[-1, Infinity]^5)/3360 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (289*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, 1, 3, -1, Infinity] -> 
  S[-1, Infinity]^8/576 + (79*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (138359*S[2, Infinity]^4)/392000 + 
   ((-99*S[-1, Infinity]^2)/224 + (29*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-2703*S[-1, Infinity]*S[2, Infinity])/896 + (17049*S[3, Infinity])/3584)*
    S[5, Infinity] + (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/840 + 
     (37*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-74880*S[-7, -1, Infinity] - 4141*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/168 - 
     (127*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (109*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/240 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/
      2 - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-61*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, 1, 1, 2, 2, Infinity] -> S[-1, Infinity]^8/288 + 
   (99*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + (144929*S[2, Infinity]^4)/
    168000 + ((89*S[-1, Infinity]^2)/32 + (225*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-163*S[-1, Infinity]*S[2, Infinity])/64 - 
     (1329*S[3, Infinity])/256)*S[5, Infinity] + 
   (2127*S[-1, Infinity]*S[7, Infinity])/512 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 2*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/192 + 
     (7*S[-1, 1, 1, 1, Infinity])/8) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (21*S[-5, -1, Infinity])/4 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (11680*S[-7, -1, Infinity] - 1051*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/240 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (673*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 1, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/288 + (S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (47743*S[2, Infinity]^4)/21000 + ((-49*S[-1, Infinity]^2)/32 - 
     (57*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((1457*S[-1, Infinity]*S[2, Infinity])/128 + (1007*S[3, Infinity])/128)*
    S[5, Infinity] + S[2, Infinity]^2*((47*S[-1, Infinity]^4)/192 + 
     S[-1, 1, 1, 1, Infinity]/8) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/48 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   (-881*S[5, 3, Infinity] - 2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (47*S[-5, -1, Infinity] + 
       48*S[-1, 1, 1, 1, 1, 1, Infinity])/8), S[-2, 1, 1, 1, 3, Infinity] -> 
  (-43*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - (215*S[2, Infinity]^4)/896 + 
   ((-61*S[-1, Infinity]^2)/64 - (277*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((S[-1, Infinity]*S[2, Infinity])/16 + (637*S[3, Infinity])/512)*
    S[5, Infinity] + (129*S[-1, Infinity]*S[7, Infinity])/64 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   2*S[2, Infinity]*S[-5, -1, Infinity] - S[-1, Infinity]*
    (-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   (-1280*S[-7, -1, Infinity] + 393*S[5, 3, Infinity] + 
     512*S[-5, -1, -1, -1, Infinity] - 512*S[-5, -1, 1, 1, Infinity])/512 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/960 - 
     (11*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    (S[-1, Infinity]^5/24 - (7*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (291*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (5*S[-1, 1, 1, 1, 1, Infinity])/4), S[-2, 1, 1, 1, -3, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (4497*S[2, Infinity]^4)/8000 + 
   ((7*S[-1, Infinity]^2)/16 + (165*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/64 - (1013*S[3, Infinity])/256)*
    S[5, Infinity] - (437*S[5, 3, Infinity])/1280 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/60 - S[-1, 1, 1, 1, Infinity]/
      10) + S[3, Infinity]*(-S[-1, Infinity]^5/30 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/48 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/80 + S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, 1, 1, -1, 3, Infinity] -> (61*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (54239*S[2, Infinity]^4)/784000 + ((-663*S[-1, Infinity]^2)/896 - 
     (10117*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((1143*S[-1, Infinity]*S[2, Infinity])/56 + (14993*S[3, Infinity])/1792)*
    S[5, Infinity] - (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (243840*S[-7, -1, Infinity] + 46061*S[5, 3, Infinity] + 
     26240*S[-5, -1, -1, -1, Infinity] + 18560*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-101*S[-1, Infinity]^4)/448 + 
     (23*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-53*S[-1, Infinity]^5)/3360 + (29*S[-1, Infinity]^3*S[2, Infinity])/
      84 + (6781*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (53*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((31*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-137*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 1, 1, -1, -3, Infinity] -> (5*S[-1, Infinity]^8)/576 + 
   (1009*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1844971*S[2, Infinity]^4)/784000 + 
   ((4153*S[-1, Infinity]^2)/896 - (18535*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/16 + 
     (5923*S[-1, Infinity]*S[2, Infinity])/224 + (30027*S[3, Infinity])/1792)*
    S[5, Infinity] + (66189*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (279*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(71*S[-5, 1, 1, Infinity] - 13*S[5, -1, -1, Infinity]))/
    14 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((1783*S[-1, Infinity]^4)/6720 + 
     (597*S[-1, 1, 1, 1, Infinity])/280) + 
   (647520*S[-7, -1, Infinity] + 112269*S[5, 3, Infinity] + 
     87680*S[-5, -1, -1, -1, Infinity] + 64640*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-323*S[-1, Infinity]^5)/672 + 
     (99*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (14993*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (195*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-77*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-635*S[-5, -1, Infinity] + 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 1, 1, -2, 2, Infinity] -> S[-1, Infinity]^8/288 + 
   (51*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - (173389*S[2, Infinity]^4)/
    168000 + ((49*S[-1, Infinity]^2)/32 - (177*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]*S[2, Infinity])/32 + 
     (47*S[3, Infinity])/32)*S[5, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/320 + 
     (51*S[-1, 1, 1, 1, Infinity])/40) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/48 + (357*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   (581*S[5, 3, Infinity] + 2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, 
          Infinity]))/2), S[-2, 1, 1, -2, -2, Infinity] -> 
  -S[-1, Infinity]^8/96 - (73*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (729931*S[2, Infinity]^4)/336000 + 
   ((-267*S[-1, Infinity]^2)/32 - (863*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((3*S[-1, Infinity]*S[2, Infinity])/8 - 
     (7911*S[3, Infinity])/512)*S[5, Infinity] + 
   (22321*S[-1, Infinity]*S[7, Infinity])/512 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 6*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-187*S[-1, Infinity]^4)/960 - 
     (173*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 + 12*S[-5, -1, Infinity] - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (2240*S[-7, -1, Infinity] + 6551*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] - 
     15360*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/80 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (499*S[-1, Infinity]*S[2, Infinity]^2)/64 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 1, 1, -3, 1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (3649*S[2, Infinity]^4)/4000 + ((-49*S[-1, Infinity]^2)/64 - 
     (71*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-279*S[-1, Infinity]*S[2, Infinity])/64 + (277*S[3, Infinity])/128)*
    S[5, Infinity] + S[2, Infinity]^2*((89*S[-1, Infinity]^4)/240 - 
     (7*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (213*S[5, 3, Infinity] - 5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/60 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, 1, 1, -3, -1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (729*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (579473*S[2, Infinity]^4)/392000 + 
   ((-35*S[-1, Infinity]^2)/64 - (205*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((37*S[-1, Infinity]*S[2, Infinity])/16 - (17427*S[3, Infinity])/1792)*
    S[5, Infinity] + (39537*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((913*S[-1, Infinity]^4)/2240 - 
     (639*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (9500*S[-7, -1, Infinity] + 333*S[5, 3, Infinity] + 
     800*S[-5, -1, -1, -1, Infinity] - 800*S[-5, -1, 1, 1, Infinity] - 
     3360*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((167*S[-1, Infinity]^5)/1680 + 
     (205*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (4*S[-1, Infinity]*S[2, Infinity]^2)/5 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (89*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/80 + (10*S[-5, -1, Infinity])/7 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -1, 3, 1, Infinity] -> -S[-1, Infinity]^8/192 + 
   (47*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (16393*S[2, Infinity]^4)/49000 + ((279*S[-1, Infinity]^2)/896 + 
     (7225*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((-17019*S[-1, Infinity]*S[2, Infinity])/896 + (15037*S[3, Infinity])/
      3584)*S[5, Infinity] + (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-57*S[-1, Infinity]^4)/224 - 
     (39*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-136320*S[-7, -1, Infinity] - 2339*S[5, 3, Infinity] - 
     39680*S[-5, -1, -1, -1, Infinity] + 39680*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/560 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (1959*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 - 9*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-125*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, 1, -1, 3, -1, Infinity] -> -S[-1, Infinity]^8/144 + 
   (99*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (186639*S[2, Infinity]^4)/156800 + 
   ((195*S[-1, Infinity]^2)/448 - (2517*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (1975*S[-1, Infinity]*S[2, Infinity])/224 + (17457*S[3, Infinity])/1792)*
    S[5, Infinity] + (49821*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (30*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(15*S[-5, 1, 1, Infinity] - 97*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((135*S[-1, Infinity]^4)/224 - 
     (69*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (15*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (20096*S[-7, -1, Infinity] + 10489*S[5, 3, Infinity] + 
     11520*S[-5, -1, -1, -1, Infinity] - 768*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/1120 - 
     (241*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (27*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (47*S[-1, 1, 1, 1, 1, Infinity])/14), S[-2, 1, -1, 2, 2, Infinity] -> 
  (1511*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (116821*S[2, Infinity]^4)/588000 + 
   ((45*S[-1, Infinity]^2)/448 + (1191*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-1611*S[-1, Infinity]*S[2, Infinity])/448 - 
     (40431*S[3, Infinity])/3584)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-107200*S[-7, -1, Infinity] - 53831*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/7 + 
     (6*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (S[-1, Infinity]^5/112 - (5*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (795*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/40 - (24*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -1, 2, -2, Infinity] -> S[-1, Infinity]^8/72 - 
   (127*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (489529*S[2, Infinity]^4)/47040 + 
   ((571*S[-1, Infinity]^2)/32 + (34571*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (555*S[-1, Infinity]*S[2, Infinity])/16 + (23481*S[3, Infinity])/896)*
    S[5, Infinity] - (109973*S[-1, Infinity]*S[7, Infinity])/896 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(79*S[-5, 1, 1, Infinity] + 107*S[5, -1, -1, Infinity]))/
    7 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/70 + 
     (66*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 - (1345*S[-5, -1, Infinity])/56 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-11264*S[-7, -1, Infinity] - 3945*S[5, 3, Infinity] - 
     5952*S[-5, -1, -1, -1, Infinity] + 3264*S[-5, -1, 1, 1, Infinity] + 
     1792*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*((-451*S[-1, Infinity]^5)/560 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (45*S[-1, Infinity]*S[2, Infinity]^2)/8 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (373*S[-1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, 1, -1, 1, 3, Infinity] -> (-131*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (152037*S[2, Infinity]^4)/196000 + 
   ((171*S[-1, Infinity]^2)/448 + (3235*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-4041*S[-1, Infinity]*S[2, Infinity])/896 - 
     (13331*S[3, Infinity])/1792)*S[5, Infinity] + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-209920*S[-7, -1, Infinity] - 28779*S[5, 3, Infinity] - 
     12160*S[-5, -1, -1, -1, Infinity] - 32640*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((281*S[-1, Infinity]^4)/560 + 
     (67*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((33*S[-1, Infinity]^5)/560 - (5*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (4371*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (99*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-59*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (2*(93*S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, 1, -1, 1, -3, Infinity] -> -S[-1, Infinity]^8/144 - 
   (1367*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (121747*S[2, Infinity]^4)/112000 + 
   ((-7019*S[-1, Infinity]^2)/896 + (3953*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 - 
     (7545*S[-1, Infinity]*S[2, Infinity])/224 - (12707*S[3, Infinity])/256)*
    S[5, Infinity] - (10893*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (407*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-109*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*(S[-1, Infinity]^4/48 + S[-1, 1, 1, 1, Infinity]/
      2) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-68480*S[-7, -1, Infinity] - 13211*S[5, 3, Infinity] - 
     8640*S[-5, -1, -1, -1, Infinity] - 9280*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((87*S[-1, Infinity]^5)/160 - 
     (10*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (45999*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (121*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (349*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-2, 1, -1, -1, 3, Infinity] -> -S[-1, Infinity]^8/96 - 
   (11807*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2959881*S[2, Infinity]^4)/784000 + 
   ((-7683*S[-1, Infinity]^2)/896 + (24127*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (6875*S[-1, Infinity]*S[2, Infinity])/112 - (189235*S[3, Infinity])/
      3584)*S[5, Infinity] - (98829*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (649*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-69*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-1459*S[-1, Infinity]^4)/3360 - 
     (221*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-1647040*S[-7, -1, Infinity] - 310329*S[5, 3, Infinity] - 
     238720*S[-5, -1, -1, -1, Infinity] - 164480*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((919*S[-1, Infinity]^5)/1120 - 
     (93*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (68659*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (51*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (243*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((2*S[-1, Infinity]^6)/15 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 
     (3*(281*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-2, 1, -1, -1, -3, Infinity] -> -S[-1, Infinity]^8/192 - 
   (319*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (85903*S[2, Infinity]^4)/112000 + 
   ((45*S[-1, Infinity]^2)/32 + (1707*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-4677*S[-1, Infinity]*S[2, Infinity])/128 - (5427*S[3, Infinity])/256)*
    S[5, Infinity] + 5*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((143*S[-1, Infinity]^4)/960 - 
     (23*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-180480*S[-7, -1, Infinity] - 35339*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/40 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (1611*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (9*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (39*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/30 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (145*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-2, 1, -1, -2, 2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (683*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (1028879*S[2, Infinity]^4)/294000 + 
   ((-2395*S[-1, Infinity]^2)/224 + (10845*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (17221*S[-1, Infinity]*S[2, Infinity])/896 - (116401*S[3, Infinity])/
      3584)*S[5, Infinity] + (103749*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (66*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((39*S[-1, Infinity]^4)/140 - 
     (94*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-438720*S[-7, -1, Infinity] - 70029*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 94720*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((451*S[-1, Infinity]^5)/560 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (4693*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (373*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (599*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 1, -1, -2, -2, Infinity] -> (-379*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (3135397*S[2, Infinity]^4)/1176000 + 
   ((-279*S[-1, Infinity]^2)/448 - (14359*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((5611*S[-1, Infinity]*S[2, Infinity])/896 + 
     (25297*S[3, Infinity])/1792)*S[5, Infinity] - 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-12080*S[-7, -1, Infinity] + 3851*S[5, 3, Infinity] + 
     4960*S[-5, -1, -1, -1, Infinity] - 4960*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((59*S[-1, Infinity]^4)/140 - 
     (4*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-31*S[-1, Infinity]^5)/560 + (31*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (5487*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/120 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(211*S[-5, -1, Infinity] - 
        224*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-2, 1, -1, -3, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (207*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (2945911*S[2, Infinity]^4)/784000 + 
   ((2451*S[-1, Infinity]^2)/896 - (2225*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (3237*S[-1, Infinity]*S[2, Infinity])/224 + (16209*S[3, Infinity])/896)*
    S[5, Infinity] + (9325*S[-1, Infinity]*S[7, Infinity])/896 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(29*S[-5, 1, 1, Infinity] - 83*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-1213*S[-1, Infinity]^4)/3360 - 
     (467*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/48 - (111*S[-5, -1, Infinity])/7 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (44880*S[-7, -1, Infinity] + 10659*S[5, 3, Infinity] + 
     2400*S[-5, -1, -1, -1, Infinity] + 11040*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/840 - 
     (529*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (103*S[-1, 1, 1, 1, 1, Infinity])/14), S[-2, 1, -1, -3, -1, Infinity] -> 
  S[-1, Infinity]^8/288 - (39*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + 
   (1609*S[2, Infinity]^4)/24500 + ((295*S[-1, Infinity]^2)/448 + 
     (5375*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-8559*S[-1, Infinity]*S[2, Infinity])/448 - (7995*S[3, Infinity])/1792)*
    S[5, Infinity] + (30*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-131*S[-1, Infinity]^4)/224 + 
     (15*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (28800*S[-7, -1, Infinity] - 14013*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/1680 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1457*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(257*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-2, 1, -2, 2, 1, Infinity] -> -S[-1, Infinity]^8/96 - 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (152421*S[2, Infinity]^4)/
    112000 + (21*S[2, Infinity]*S[3, Infinity]^2)/256 + 
   ((-465*S[-1, Infinity]*S[2, Infinity])/128 - (1479*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]^2*((21*S[-1, Infinity]^4)/40 - 
     (18*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (7*S[5, 3, Infinity] - 3840*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/80 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(5*S[-5, -1, Infinity] - 32*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[-2, 1, -2, 2, -1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (619*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (60019*S[2, Infinity]^4)/24500 + ((-29*S[-1, Infinity]^2)/4 - 
     (41*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((-365*S[-1, Infinity]*S[2, Infinity])/64 - (30757*S[3, Infinity])/1792)*
    S[5, Infinity] + (40407*S[-1, Infinity]*S[7, Infinity])/896 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((73*S[-1, Infinity]^4)/105 - 
     (164*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (5920*S[-7, -1, Infinity] + 2099*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/35 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (1191*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (177*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + (64*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -2, 1, 2, Infinity] -> (-283*S[2, Infinity]^4)/2240 + 
   (107*S[2, Infinity]*S[3, Infinity]^2)/256 + 
   ((-279*S[-1, Infinity]*S[2, Infinity])/128 - (5*S[3, Infinity])/64)*
    S[5, Infinity] - (9*S[2, Infinity]*S[-5, -1, Infinity])/8 + 
   S[5, 3, Infinity]/16, S[-2, 1, -2, 1, -2, Infinity] -> 
  (-113*S[2, Infinity]^4)/1120 - (S[2, Infinity]*S[3, Infinity]^2)/256 - 
   (5*S[3, Infinity]*S[5, Infinity])/64 + S[5, 3, Infinity]/16, 
 S[-2, 1, -2, -1, 2, Infinity] -> S[-1, Infinity]^8/72 + 
   (79*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (1125*S[2, Infinity]^4)/448 + 
   (5*S[-1, Infinity]^2 - (35*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((1411*S[-1, Infinity]*S[2, Infinity])/128 - (3929*S[3, Infinity])/512)*
    S[5, Infinity] - (6033*S[-1, Infinity]*S[7, Infinity])/512 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/80 + 
     (51*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/12 + (7*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (32*S[-1, Infinity]*S[2, Infinity]^2)/5 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^6/6 + 
     S[-5, -1, Infinity]/2 + 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (416*S[-7, -1, Infinity] - 47*S[5, 3, Infinity] + 
     512*S[-1, 1, 1, 1, Infinity]^2)/64, S[-2, 1, -2, -1, -2, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (799*S[2, Infinity]^4)/320 - 
   (1907*S[2, Infinity]*S[3, Infinity]^2)/256 + 
   ((4557*S[-1, Infinity]*S[2, Infinity])/128 - (247*S[3, Infinity])/64)*
    S[5, Infinity] + (416*S[-7, -1, Infinity] - 47*S[5, 3, Infinity])/64 + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/240 + 
     (7*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (S[-1, Infinity]^6/10 - 6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     4*(5*S[-5, -1, Infinity] - 9*S[-1, 1, 1, 1, 1, 1, Infinity])), 
 S[-2, 1, -2, -2, 1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (9491*S[2, Infinity]^4)/19600 + ((25*S[-1, Infinity]^2)/56 + 
     (225*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]*S[2, Infinity])/112 - (6485*S[3, Infinity])/1792)*
    S[5, Infinity] + (3135*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (10*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (6080*S[-7, -1, Infinity] - 1643*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*(S[-1, Infinity]^4/168 - 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*(-S[-1, Infinity]^5/84 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, -2, -2, -1, Infinity] -> 
  (13*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (531751*S[2, Infinity]^4)/
    196000 + ((-145*S[-1, Infinity]^2)/224 + (1473*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-789*S[-1, Infinity]*S[2, Infinity])/112 + 
     (559*S[3, Infinity])/448)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-5120*S[-7, -1, Infinity] + 2123*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((179*S[-1, Infinity]^4)/1680 + 
     (31*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (S[-1, Infinity]^5/84 - (5*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-149*S[-5, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, 1, -3, 1, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (27*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (26781*S[2, Infinity]^4)/
    28000 + (7*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((279*S[-1, Infinity]*S[2, Infinity])/64 + (827*S[3, Infinity])/256)*
    S[5, Infinity] - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-39*S[-1, Infinity]^4)/160 + 
     (27*S[-1, 1, 1, 1, Infinity])/20) + 
   (-811*S[5, 3, Infinity] + 7680*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/80 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (189*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, 1, -3, 1, -1, Infinity] -> (11*S[-1, Infinity]^8)/576 + 
   (3051*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (540803*S[2, Infinity]^4)/196000 + 
   ((963*S[-1, Infinity]^2)/128 + (1287*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (13*S[-1, Infinity]*S[2, Infinity])/8 + (58715*S[3, Infinity])/3584)*
    S[5, Infinity] - (44735*S[-1, Infinity]*S[7, Infinity])/896 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(36*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/
    7 - (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/420 + 
     (493*S[-1, 1, 1, 1, Infinity])/70) + 
   (-325120*S[-7, -1, Infinity] - 92721*S[5, 3, Infinity] - 
     139520*S[-5, -1, -1, -1, Infinity] + 85760*S[-5, -1, 1, 1, Infinity] + 
     197120*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-2081*S[-1, Infinity]^5)/3360 + 
     (159*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1047*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (183*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/120 - (113*S[-5, -1, Infinity])/
      14 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -3, -1, 1, Infinity] -> S[-1, Infinity]^8/144 + 
   (1327*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2986213*S[2, Infinity]^4)/784000 + 
   ((4623*S[-1, Infinity]^2)/896 + (459*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (645*S[-1, Infinity]*S[2, Infinity])/112 + (9867*S[3, Infinity])/448)*
    S[5, Infinity] - (4711*S[-1, Infinity]*S[7, Infinity])/128 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 7*S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/336 + 
     (41*S[-1, 1, 1, 1, Infinity])/14) + S[2, Infinity]*
    (-S[-1, Infinity]^6/48 - (143*S[-5, -1, Infinity])/14 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-68800*S[-7, -1, Infinity] - 10607*S[5, 3, Infinity] - 
     48000*S[-5, -1, -1, -1, Infinity] + 48000*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-69*S[-1, Infinity]^5)/224 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (5287*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, -3, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/576 - (15*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (1561041*S[2, Infinity]^4)/784000 + 
   ((157*S[-1, Infinity]^2)/112 + (233*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-1023*S[-1, Infinity]*S[2, Infinity])/112 + 
     (14291*S[3, Infinity])/3584)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-583*S[-1, Infinity]^4)/1680 - 
     (47*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (225280*S[-7, -1, Infinity] + 12757*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/140 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (3399*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (54*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-649*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, 3, 1, 1, Infinity] -> (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (16029*S[2, Infinity]^4)/28000 + ((-27*S[-1, Infinity]^2)/64 - 
     (179*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((1527*S[-1, Infinity]*S[2, Infinity])/128 - (1273*S[3, Infinity])/128)*
    S[5, Infinity] - (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (28800*S[-7, -1, Infinity] + 1523*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/10 - 
     (21*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/160 + (3*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (267*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/4) + S[2, Infinity]*
    (-S[-1, Infinity]^6/60 + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(21*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[-2, -1, 3, 1, -1, Infinity] -> (5*S[-1, Infinity]^8)/288 - 
   (197*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (288041*S[2, Infinity]^4)/
    49000 + ((1475*S[-1, Infinity]^2)/896 + (1539*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/32 - 
     (3109*S[-1, Infinity]*S[2, Infinity])/224 - (96363*S[3, Infinity])/1792)*
    S[5, Infinity] - (4997*S[-1, Infinity]*S[7, Infinity])/896 + 
   (153*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/14 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((227*S[-1, Infinity]^4)/336 + 
     (151*S[-1, 1, 1, 1, Infinity])/14) + 
   (-1705280*S[-7, -1, Infinity] - 328347*S[5, 3, Infinity] - 
     198400*S[-5, -1, -1, -1, Infinity] - 285440*S[-5, -1, 1, 1, Infinity] + 
     179200*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-191*S[-1, Infinity]^5)/1680 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (6919*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (843*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/120 + (635*S[-5, -1, Infinity])/
      14 + 5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, 3, -1, 1, Infinity] -> S[-1, Infinity]^8/144 + 
   (127*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (240843*S[2, Infinity]^4)/56000 + ((-3545*S[-1, Infinity]^2)/896 - 
     (207*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/32 + (5217*S[-1, Infinity]*S[2, Infinity])/224 - 
     (331*S[3, Infinity])/64)*S[5, Infinity] + 
   (6761*S[-1, Infinity]*S[7, Infinity])/896 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (3*S[-1, Infinity]*(6*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/120 + 
     (29*S[-1, 1, 1, 1, Infinity])/5) + 
   (7360*S[-7, -1, Infinity] + 2141*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/160 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/16 + 
     (10881*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/30 + (5*S[-5, -1, Infinity])/2 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, 3, -1, -1, Infinity] -> S[-1, Infinity]^8/288 + 
   (3223*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (528901*S[2, Infinity]^4)/784000 + 
   ((-253*S[-1, Infinity]^2)/112 - (2019*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((831*S[-1, Infinity]*S[2, Infinity])/14 + 
     (64719*S[3, Infinity])/1792)*S[5, Infinity] - 
   (263*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-353*S[-1, Infinity]^4)/280 - 
     (96*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/24 - (297*S[-5, -1, Infinity])/7 - 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1150400*S[-7, -1, Infinity] + 212299*S[5, 3, Infinity] + 
     177280*S[-5, -1, -1, -1, Infinity] + 118400*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/168 + 
     (185*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (2323*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (185*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -1, 2, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (219381*S[2, Infinity]^4)/112000 + 
   ((27*S[-1, Infinity]^2)/32 + (849*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-951*S[-1, Infinity]*S[2, Infinity])/32 - (181*S[3, Infinity])/64)*
    S[5, Infinity] + 3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/80 - 
     (51*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-180*S[-7, -1, Infinity] - 623*S[5, 3, Infinity] - 
     960*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity] - 
     960*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/40 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     9*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((3*S[-1, Infinity]^6)/40 - 12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (9*(17*S[-5, -1, Infinity] - 
        16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[-2, -1, 2, 2, -1, Infinity] -> -S[-1, Infinity]^8/36 - 
   (6879*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2899*S[2, Infinity]^4)/2000 + ((-705*S[-1, Infinity]^2)/112 + 
     (1267*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (66293*S[-1, Infinity]*S[2, Infinity])/896 - 
     (11367*S[3, Infinity])/256)*S[5, Infinity] + 
   (32499*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (121*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-51*S[-5, 1, 1, Infinity] + 5*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/30 - 
     (52*S[-1, 1, 1, 1, Infinity])/5) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-1520*S[-7, -1, Infinity] - 429*S[5, 3, Infinity] - 
     400*S[-5, -1, -1, -1, Infinity] - 80*S[-5, -1, 1, 1, Infinity] - 
     320*S[-1, 1, 1, 1, Infinity]^2)/20 + S[3, Infinity]*
    (S[-1, Infinity]^5 - (13*S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (9295*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     15*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/30 + 20*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, 2, 1, 2, Infinity] -> (-67*S[-1, Infinity]^2*S[2, Infinity]^3)/
    160 - (292289*S[2, Infinity]^4)/112000 + 
   (33*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (311*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((531*S[-1, Infinity]*S[2, Infinity])/128 + (4809*S[3, Infinity])/256)*
    S[5, Infinity] - 2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (29440*S[-7, -1, Infinity] + 14253*S[5, 3, Infinity])/2560 + 
   S[2, Infinity]^2*((67*S[-1, Infinity]^4)/960 - 
     (67*S[-1, 1, 1, 1, Infinity])/40), S[-2, -1, 2, 1, -2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (61*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (513693*S[2, Infinity]^4)/56000 + 
   ((-187*S[-1, Infinity]^2)/16 - (113*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((2131*S[-1, Infinity]*S[2, Infinity])/128 - (633*S[3, Infinity])/16)*
    S[5, Infinity] + (20511*S[-1, Infinity]*S[7, Infinity])/256 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 8*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/240 + 
     (7*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (103*S[-5, -1, Infinity])/4 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (18880*S[-7, -1, Infinity] + 9663*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] - 30720*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/120 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (2689*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     24*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, 2, -1, 2, Infinity] -> 
  (2243*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (192119*S[2, Infinity]^4)/24500 + 
   ((-641*S[-1, Infinity]^2)/56 - (257*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((18989*S[-1, Infinity]*S[2, Infinity])/896 - (37173*S[3, Infinity])/1792)*
    S[5, Infinity] + (255*S[-1, Infinity]*S[7, Infinity])/4 + 
   (20*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (-1600*S[-7, -1, Infinity] + 30931*S[5, 3, Infinity] + 
     46080*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-1087*S[-1, Infinity]^4)/840 + 
     (107*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((431*S[-1, Infinity]^5)/840 - (111*S[-1, Infinity]^3*S[2, Infinity])/
      28 - (349*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (186*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/3 - 12*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (53*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -1, 2, -1, -2, Infinity] -> (-321*S[-1, Infinity]^2*S[2, Infinity]^3)/
    56 - (1132339*S[2, Infinity]^4)/98000 + 
   ((-81*S[-1, Infinity]^2)/56 - (1895*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((4171*S[-1, Infinity]*S[2, Infinity])/56 + (112491*S[3, Infinity])/3584)*
    S[5, Infinity] - (36*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (-1600*S[-7, -1, Infinity] + 30931*S[5, 3, Infinity] + 
     46080*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((719*S[-1, Infinity]^4)/840 - 
     (19*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/70 + (9*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (28533*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 + 40*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (599*S[-5, -1, Infinity] - 
       840*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -1, 2, -2, 1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (773*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1046949*S[2, Infinity]^4)/196000 + 
   ((-321*S[-1, Infinity]^2)/32 + (4551*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (153*S[-1, Infinity]*S[2, Infinity])/64 - (162405*S[3, Infinity])/3584)*
    S[5, Infinity] + (11847*S[-1, Infinity]*S[7, Infinity])/896 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(-37*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((271*S[-1, Infinity]^4)/420 - 
     (122*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-86720*S[-7, -1, Infinity] - 19749*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] - 23680*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((1031*S[-1, Infinity]^5)/1680 - 
     (37*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (4089*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (148*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + (204*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, 2, -2, -1, Infinity] -> (4297*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (1514263*S[2, Infinity]^4)/392000 + 
   ((-1271*S[-1, Infinity]^2)/224 - (6457*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((43221*S[-1, Infinity]*S[2, Infinity])/896 + 
     (97057*S[3, Infinity])/3584)*S[5, Infinity] - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (331840*S[-7, -1, Infinity] + 141259*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((67*S[-1, Infinity]^4)/140 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/70 + (43*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (9249*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 - 
     (2*(31*S[-5, -1, Infinity] - 84*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, -1, 1, 3, 1, Infinity] -> S[-1, Infinity]^8/192 - 
   (103*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (53509*S[2, Infinity]^4)/156800 + 
   ((99*S[-1, Infinity]^2)/896 + (2309*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((513*S[-1, Infinity]*S[2, Infinity])/896 - 
     (24795*S[3, Infinity])/3584)*S[5, Infinity] + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((169*S[-1, Infinity]^4)/3360 + 
     (41*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (14080*S[-7, -1, Infinity] - 2109*S[5, 3, Infinity] - 
     1408*S[-5, -1, -1, -1, Infinity] + 1408*S[-5, -1, 1, 1, Infinity] + 
     5376*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/1120 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (1947*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - (107*S[-5, -1, Infinity])/28 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, 1, 3, -1, Infinity] -> S[-1, Infinity]^8/144 + 
   (297*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (13957*S[2, Infinity]^4)/39200 + ((-591*S[-1, Infinity]^2)/448 - 
     (631*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 + (11153*S[-1, Infinity]*S[2, Infinity])/896 + 
     (20837*S[3, Infinity])/1792)*S[5, Infinity] - 
   (23039*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-15*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-739*S[-1, Infinity]^4)/1344 + 
     (67*S[-1, 1, 1, 1, Infinity])/56) + S[2, Infinity]*
    (S[-1, Infinity]^6/24 - (107*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (107712*S[-7, -1, Infinity] + 10659*S[5, 3, Infinity] - 
     512*S[-5, -1, -1, -1, Infinity] + 22016*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/672 + 
     (365*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (6107*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (365*S[-1, 1, 1, 1, 1, Infinity])/28), S[-2, -1, 1, 2, 2, Infinity] -> 
  (-871*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (221573*S[2, Infinity]^4)/235200 + 
   ((-45*S[-1, Infinity]^2)/448 + (1389*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((3453*S[-1, Infinity]*S[2, Infinity])/896 - 
     (61405*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (2224*S[-7, -1, Infinity] - 2213*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((437*S[-1, Infinity]^4)/2240 - 
     (471*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/112 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (129*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (15*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (451*S[-5, -1, Infinity] - 
       1008*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, 1, 2, -2, Infinity] -> S[-1, Infinity]^8/36 + 
   (10421*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (115939*S[2, Infinity]^4)/47040 + 
   ((685*S[-1, Infinity]^2)/32 - (9025*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (5747*S[-1, Infinity]*S[2, Infinity])/128 + (78749*S[3, Infinity])/1792)*
    S[5, Infinity] - (369885*S[-1, Infinity]*S[7, Infinity])/3584 - 
   18*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(121*S[-5, 1, 1, Infinity] + 93*S[5, -1, -1, Infinity]))/
    7 - (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((341*S[-1, Infinity]^4)/1344 + 
     (667*S[-1, 1, 1, 1, Infinity])/56) + 
   (123072*S[-7, -1, Infinity] + 25815*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] + 37888*S[-5, -1, 1, 1, Infinity] + 
     57344*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-927*S[-1, Infinity]^5)/560 + 
     (1801*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     28*S[-1, Infinity]*S[2, Infinity]^2 + 35*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (331*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/120 - (1527*S[-5, -1, Infinity])/
      56 + 5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, 1, 1, 3, Infinity] -> (59*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (246599*S[2, Infinity]^4)/196000 + 
   ((-99*S[-1, Infinity]^2)/896 - (2033*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((363*S[-1, Infinity]*S[2, Infinity])/448 + 
     (34469*S[3, Infinity])/3584)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (464000*S[-7, -1, Infinity] + 68067*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] + 75520*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-1073*S[-1, Infinity]^4)/6720 - 
     (327*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-39*S[-1, Infinity]^5)/1120 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (2283*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (117*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-801*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, 1, 1, -3, Infinity] -> -S[-1, Infinity]^8/192 + 
   (11*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (85009*S[2, Infinity]^4)/
    49000 + ((-981*S[-1, Infinity]^2)/224 - (467*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (1739*S[-1, Infinity]*S[2, Infinity])/448 + (2279*S[3, Infinity])/224)*
    S[5, Infinity] + (92839*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((607*S[-1, Infinity]^4)/6720 - 
     (747*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (419040*S[-7, -1, Infinity] + 88651*S[5, 3, Infinity] + 
     74240*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((209*S[-1, Infinity]^5)/672 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (1247*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (45*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-591*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, 1, -1, 3, Infinity] -> (-46*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 - (3152407*S[2, Infinity]^4)/784000 + 
   ((2501*S[-1, Infinity]^2)/448 + (12821*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 - 
     (5059*S[-1, Infinity]*S[2, Infinity])/224 + (3553*S[3, Infinity])/448)*
    S[5, Infinity] - (71999*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(47*S[-5, 1, 1, Infinity] + 75*S[5, -1, -1, Infinity]))/
    14 + (-250240*S[-7, -1, Infinity] - 64213*S[5, 3, Infinity] - 
     88320*S[-5, -1, -1, -1, Infinity] + 34560*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((611*S[-1, Infinity]^4)/2240 - 
     (153*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-517*S[-1, Infinity]^5)/3360 + 
     (377*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (167*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 - (33*S[-5, -1, Infinity])/7 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, 1, -1, -3, Infinity] -> -S[-1, Infinity]^8/288 - 
   (15*S[-1, Infinity]^2*S[2, Infinity]^3)/32 + (25181*S[2, Infinity]^4)/
    14000 + ((-9*S[-1, Infinity]^2)/128 + (295*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-117*S[-1, Infinity]*S[2, Infinity])/16 - 
     (887*S[3, Infinity])/64)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (40*S[-7, -1, Infinity] - 231*S[5, 3, Infinity] + 
     80*S[-5, -1, -1, -1, Infinity] - 80*S[-5, -1, 1, 1, Infinity] - 
     320*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*(S[-1, Infinity]^5/160 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (27*S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (9*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    (S[-1, Infinity]^6/60 + (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-43*S[-5, -1, Infinity] + 72*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-2, -1, 1, -2, 2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (461*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (3574897*S[2, Infinity]^4)/1176000 + 
   ((-895*S[-1, Infinity]^2)/224 - (13369*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 - 
     (9505*S[-1, Infinity]*S[2, Infinity])/896 + (43677*S[3, Infinity])/1792)*
    S[5, Infinity] + (43439*S[-1, Infinity]*S[7, Infinity])/896 + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((365*S[-1, Infinity]^4)/1344 - 
     (253*S[-1, 1, 1, 1, Infinity])/56) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (226880*S[-7, -1, Infinity] + 40059*S[5, 3, Infinity] + 
     19200*S[-5, -1, -1, -1, Infinity] + 34560*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((229*S[-1, Infinity]^5)/560 - 
     (295*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (87*S[-1, Infinity]*S[2, Infinity]^2)/35 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (293*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-151*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-2, -1, 1, -2, -2, Infinity] -> (381*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (4864901*S[2, Infinity]^4)/1176000 + 
   ((279*S[-1, Infinity]^2)/448 + (8723*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-575*S[-1, Infinity]*S[2, Infinity])/28 - 
     (33241*S[3, Infinity])/3584)*S[5, Infinity] + 
   (31*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (76480*S[-7, -1, Infinity] - 26839*S[5, 3, Infinity] - 
     39680*S[-5, -1, -1, -1, Infinity] + 39680*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-1621*S[-1, Infinity]^4)/6720 - 
     (339*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/560 - 
     (31*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (10449*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (93*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-209*S[-5, -1, Infinity] + 
       294*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -1, 1, -3, 1, Infinity] -> S[-1, Infinity]^8/72 + 
   (1187*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (316839*S[2, Infinity]^4)/392000 + 
   ((6183*S[-1, Infinity]^2)/896 - (783*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 + 
     (319*S[-1, Infinity]*S[2, Infinity])/14 + (56121*S[3, Infinity])/3584)*
    S[5, Infinity] - (92661*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(55*S[-5, 1, 1, Infinity] + 111*S[5, -1, -1, Infinity]))/
    14 - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-451*S[-1, Infinity]^4)/1120 + 
     (933*S[-1, 1, 1, 1, Infinity])/140) + 
   (-78080*S[-7, -1, Infinity] + 2953*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] + 
     71680*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-157*S[-1, Infinity]^5)/224 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (11479*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (63*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 - (6*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, 1, -3, -1, Infinity] -> (113*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 - (1163999*S[2, Infinity]^4)/784000 + 
   ((1121*S[-1, Infinity]^2)/448 + (6047*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-14703*S[-1, Infinity]*S[2, Infinity])/896 - 
     (24705*S[3, Infinity])/3584)*S[5, Infinity] + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (-3575*S[-7, -1, Infinity] - 839*S[5, 3, Infinity] - 
     710*S[-5, -1, -1, -1, Infinity] - 130*S[-5, -1, 1, 1, Infinity])/140 + 
   S[2, Infinity]^2*((163*S[-1, Infinity]^4)/3360 + 
     (47*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/560 - (95*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (7443*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (181*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, -1, 3, 1, Infinity] -> (295*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (5250573*S[2, Infinity]^4)/784000 + 
   ((-61*S[-1, Infinity]^2)/7 + (73*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/8 + (34343*S[-1, Infinity]*S[2, Infinity])/896 - 
     (118269*S[3, Infinity])/3584)*S[5, Infinity] - 
   (4199*S[-1, Infinity]*S[7, Infinity])/512 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    2 + (-411200*S[-7, -1, Infinity] - 75211*S[5, 3, Infinity] + 
     69120*S[-5, -1, -1, -1, Infinity] - 176640*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((47*S[-1, Infinity]^4)/280 + 
     (69*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((103*S[-1, Infinity]^5)/840 + (29*S[-1, Infinity]^3*S[2, Infinity])/
      336 - (3551*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (103*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + (194*S[-5, -1, Infinity])/7 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -1, 3, -1, Infinity] -> (437*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 - (185307*S[2, Infinity]^4)/392000 + 
   ((691*S[-1, Infinity]^2)/448 + (1051*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1767*S[-1, Infinity]*S[2, Infinity])/448 + 
     (3999*S[3, Infinity])/1792)*S[5, Infinity] - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (-127360*S[-7, -1, Infinity] - 22513*S[5, 3, Infinity] - 
     17280*S[-5, -1, -1, -1, Infinity] - 9600*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((55*S[-1, Infinity]^4)/56 + 
     (3*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (-S[-1, Infinity]^5/168 + (5*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1955*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/10 + (137*S[-5, -1, Infinity])/14 + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -1, 2, 2, Infinity] -> (1173*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (1389163*S[2, Infinity]^4)/294000 + 
   ((967*S[-1, Infinity]^2)/112 - (7359*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (9913*S[-1, Infinity]*S[2, Infinity])/448 + (86271*S[3, Infinity])/1792)*
    S[5, Infinity] + (123*S[-1, Infinity]*S[7, Infinity])/32 - 
   (90*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   8*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (110720*S[-7, -1, Infinity] + 19961*S[5, 3, Infinity] + 
     10880*S[-5, -1, -1, -1, Infinity] + 16000*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((271*S[-1, Infinity]^4)/336 - 
     (47*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-799*S[-1, Infinity]^5)/1680 + (701*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (46913*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (277*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/60 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-421*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, -1, -1, 2, -2, Infinity] -> -S[-1, Infinity]^8/72 + 
   (1041*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (267913*S[2, Infinity]^4)/58800 + ((-813*S[-1, Infinity]^2)/224 + 
     (2867*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-17455*S[-1, Infinity]*S[2, Infinity])/448 - (5185*S[3, Infinity])/1792)*
    S[5, Infinity] + (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((677*S[-1, Infinity]^4)/1680 - 
     (397*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (268*S[-7, -1, Infinity] - 41*S[5, 3, Infinity] - 
     192*S[-5, -1, -1, -1, Infinity] + 192*S[-5, -1, 1, 1, Infinity] - 
     224*S[-1, 1, 1, 1, Infinity]^2)/28 + S[3, Infinity]*
    ((977*S[-1, Infinity]^5)/1680 - (95*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (26071*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (121*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/20 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 28*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(75*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-2, -1, -1, 1, 3, Infinity] -> S[-1, Infinity]^8/96 + 
   (5357*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (30239*S[2, Infinity]^4)/22400 + ((7793*S[-1, Infinity]^2)/896 - 
     (1453*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/16 + (42655*S[-1, Infinity]*S[2, Infinity])/
      896 + (7107*S[3, Infinity])/128)*S[5, Infinity] + 
   (160011*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (517*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(115*S[-5, 1, 1, Infinity] - 81*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/40 + (9*S[-1, 1, 1, 1, Infinity])/
      5) + (79168*S[-7, -1, Infinity] + 15061*S[5, 3, Infinity] + 
     10496*S[-5, -1, -1, -1, Infinity] + 9472*S[-5, -1, 1, 1, Infinity] + 
     3072*S[-1, 1, 1, 1, Infinity]^2)/512 + 
   S[3, Infinity]*((-179*S[-1, Infinity]^5)/240 + 
     (39*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (28727*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-115*S[-5, -1, Infinity] + 
       12*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-2, -1, -1, 1, -3, Infinity] -> (7*S[-1, Infinity]^8)/576 + 
   (429*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (447691*S[2, Infinity]^4)/392000 + 
   ((-489*S[-1, Infinity]^2)/896 - (5959*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((38691*S[-1, Infinity]*S[2, Infinity])/896 + 
     (23005*S[3, Infinity])/1792)*S[5, Infinity] - 
   (185*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-3463*S[-1, Infinity]^4)/6720 + 
     (943*S[-1, 1, 1, 1, Infinity])/280) + 
   (1233920*S[-7, -1, Infinity] + 249621*S[5, 3, Infinity] + 
     236800*S[-5, -1, -1, -1, Infinity] + 32000*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-265*S[-1, Infinity]^5)/672 + 
     (253*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3919*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (15*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (275*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-487*S[-5, -1, Infinity] - 840*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, -1, -1, 3, Infinity] -> (789*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (2299289*S[2, Infinity]^4)/784000 + 
   ((-1269*S[-1, Infinity]^2)/448 - (8735*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((4731*S[-1, Infinity]*S[2, Infinity])/112 + 
     (128083*S[3, Infinity])/3584)*S[5, Infinity] - 
   (46*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (1620800*S[-7, -1, Infinity] + 361903*S[5, 3, Infinity] + 
     235520*S[-5, -1, -1, -1, Infinity] + 122880*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/105 - 
     (48*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-5*S[-1, Infinity]^5)/56 + (23*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (14961*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (75*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 + 
     (2*(-69*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, -1, -1, -1, -3, Infinity] -> (1207*S[-1, Infinity]^2*S[2, Infinity]^3)/
    112 + (1783279*S[2, Infinity]^4)/392000 + 
   ((667*S[-1, Infinity]^2)/448 - (16917*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/8 + 
     (8597*S[-1, Infinity]*S[2, Infinity])/112 + (118507*S[3, Infinity])/
      1792)*S[5, Infinity] + (19965*S[-1, Infinity]*S[7, Infinity])/224 - 
   (178*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + (30750*S[-7, -1, Infinity] + 6373*S[5, 3, Infinity] + 
     5360*S[-5, -1, -1, -1, Infinity] + 2480*S[-5, -1, 1, 1, Infinity])/140 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/35 - 
     (124*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-211*S[-1, Infinity]^5)/672 + (1307*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (66601*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (1055*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/90 - 
     (2*(229*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, -1, -1, -2, 2, Infinity] -> S[-1, Infinity]^8/72 - 
   (657*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (4366157*S[2, Infinity]^4)/2352000 + 
   ((1047*S[-1, Infinity]^2)/224 - (3109*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((6183*S[-1, Infinity]*S[2, Infinity])/448 + 
     (4261*S[3, Infinity])/3584)*S[5, Infinity] + 
   (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-1133*S[-1, Infinity]^4)/1680 + 
     (293*S[-1, 1, 1, 1, Infinity])/70) + 
   (270400*S[-7, -1, Infinity] + 22703*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     143360*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-821*S[-1, Infinity]^5)/1680 - 
     (61*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (1621*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/60 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (103*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, -1, -1, -2, -2, Infinity] -> (51*S[-1, Infinity]^2*S[2, Infinity]^3)/
    10 + (534089*S[2, Infinity]^4)/42000 + 
   ((-241*S[-1, Infinity]^2)/16 - (7237*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (4881*S[-1, Infinity]*S[2, Infinity])/64 - (3641*S[3, Infinity])/256)*
    S[5, Infinity] + (3949*S[-1, Infinity]*S[7, Infinity])/32 - 
   10*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]) + 
   (7360*S[-7, -1, Infinity] + 2141*S[5, 3, Infinity] + 
     2880*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity])/80 + 
   S[2, Infinity]^2*((-149*S[-1, Infinity]^4)/240 + 
     (29*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((73*S[-1, Infinity]^5)/240 - (59*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (1151*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     19*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((3*S[-1, Infinity]^6)/20 + (29*S[-5, -1, Infinity])/2 - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -1, -3, 1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (137*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (1642127*S[2, Infinity]^4)/784000 + 
   ((-201*S[-1, Infinity]^2)/112 + (83*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-5115*S[-1, Infinity]*S[2, Infinity])/448 - 
     (585*S[3, Infinity])/896)*S[5, Infinity] + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((493*S[-1, Infinity]^4)/1120 - 
     (219*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (90400*S[-7, -1, Infinity] - 8063*S[5, 3, Infinity] - 
     32000*S[-5, -1, -1, -1, Infinity] + 32000*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((983*S[-1, Infinity]^5)/3360 - 
     (101*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (565*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (62*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-631*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, -1, -3, -1, Infinity] -> (-78*S[-1, Infinity]^2*S[2, Infinity]^3)/
    35 + (132109*S[2, Infinity]^4)/78400 + 
   ((-305*S[-1, Infinity]^2)/112 + (205*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/8 + 
     (7759*S[-1, Infinity]*S[2, Infinity])/448 - (16399*S[3, Infinity])/1792)*
    S[5, Infinity] - (9807*S[-1, Infinity]*S[7, Infinity])/256 + 
   (55*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    2 + (16640*S[-7, -1, Infinity] - 689*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/42 - 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/420 + (13*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (1411*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/10 - (40*S[-5, -1, Infinity])/7 - 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -2, 2, 1, Infinity] -> S[-1, Infinity]^8/144 + 
   (277*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (216943*S[2, Infinity]^4)/31360 + 
   ((285*S[-1, Infinity]^2)/32 + (3187*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (3901*S[-1, Infinity]*S[2, Infinity])/128 + (46587*S[3, Infinity])/3584)*
    S[5, Infinity] - (119883*S[-1, Infinity]*S[7, Infinity])/1792 + 
   6*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] + 75*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-767*S[-1, Infinity]^4)/840 + 
     (137*S[-1, 1, 1, 1, Infinity])/35) + 
   (-189376*S[-7, -1, Infinity] - 52709*S[5, 3, Infinity] - 
     76800*S[-5, -1, -1, -1, Infinity] + 33792*S[-5, -1, 1, 1, Infinity] + 
     14336*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-719*S[-1, Infinity]^5)/1680 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (17*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (62*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/60 - (76*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -2, 2, -1, Infinity] -> -S[-1, Infinity]^8/36 - 
   (153*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (1747633*S[2, Infinity]^4)/
    196000 + ((605*S[-1, Infinity]^2)/224 - (213*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-1899*S[-1, Infinity]*S[2, Infinity])/56 + 
     (4187*S[3, Infinity])/224)*S[5, Infinity] - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/35 - (444*S[-1, 1, 1, 1, Infinity])/
      35) + (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (24240*S[-7, -1, Infinity] + 2187*S[5, 3, Infinity] - 
     800*S[-5, -1, -1, -1, Infinity] + 7520*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((-2*S[-1, Infinity]^5)/35 - 
     (109*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (1003*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (118*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (8*(-20*S[-5, -1, Infinity] - 21*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, -1, -2, 1, 2, Infinity] -> S[-1, Infinity]^8/144 + 
   (79*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (137281*S[2, Infinity]^4)/
    112000 + ((89*S[-1, Infinity]^2)/16 + (1341*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-665*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2775*S[3, Infinity])/256)*S[5, Infinity] - 
   (6033*S[-1, Infinity]*S[7, Infinity])/512 - 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    3 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/80 + 
     (47*S[-1, 1, 1, 1, Infinity])/10) + 
   (9920*S[-7, -1, Infinity] - 1387*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-67*S[-1, Infinity]^5)/120 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (31*S[-1, Infinity]*S[2, Infinity]^2)/20 + 15*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/60 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - 3*(5*S[-5, -1, Infinity] - 
       4*S[-1, 1, 1, 1, 1, 1, Infinity])), S[-2, -1, -2, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/72 + (37*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (4691*S[2, Infinity]^4)/1600 + ((-9*S[-1, Infinity]^2)/8 - 
     (2499*S[2, Infinity])/256)*S[3, Infinity]^2 + 
   ((6145*S[-1, Infinity]*S[2, Infinity])/128 + (885*S[3, Infinity])/256)*
    S[5, Infinity] - 4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/48 + (9*S[-1, 1, 1, 1, Infinity])/
      2) + (1024*S[-7, -1, Infinity] + 229*S[5, 3, Infinity] + 
     1024*S[-5, -1, -1, -1, Infinity] - 1024*S[-5, -1, 1, 1, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2)/128 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/8 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (337*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     10*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/10 + 16*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(19*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[-2, -1, -2, -1, 2, Infinity] -> S[-1, Infinity]^8/48 + 
   (501*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (11806191*S[2, Infinity]^4)/
    784000 + ((-27*S[-1, Infinity]^2)/112 + (20527*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-9183*S[-1, Infinity]*S[2, Infinity])/448 - 
     (115081*S[3, Infinity])/3584)*S[5, Infinity] - 
   (6*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((-941*S[-1, Infinity]^4)/1680 + 
     (521*S[-1, 1, 1, 1, Infinity])/70) + 
   (3*(20800*S[-7, -1, Infinity] - 12609*S[5, 3, Infinity] + 
      10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
      71680*S[-1, 1, 1, 1, Infinity]^2))/17920 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/140 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (5573*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     8*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (94*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/60 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (4*(85*S[-5, -1, Infinity] - 168*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, -1, -2, -1, -2, Infinity] -> -S[-1, Infinity]^8/36 - 
   (4259*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (1625173*S[2, Infinity]^4)/196000 + 
   ((81*S[-1, Infinity]^2)/56 + (6257*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-25311*S[-1, Infinity]*S[2, Infinity])/448 + 
     (23929*S[3, Infinity])/1792)*S[5, Infinity] + 
   (36*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((125*S[-1, Infinity]^4)/168 - 
     (83*S[-1, 1, 1, 1, Infinity])/7) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-2880*S[-7, -1, Infinity] - 19899*S[5, 3, Infinity] - 
     46080*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity] - 
     71680*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((127*S[-1, Infinity]^5)/280 - 
     (199*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1639*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     13*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (74*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-197*S[-5, -1, Infinity] - 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, -1, -2, -2, 1, Infinity] -> S[-1, Infinity]^8/32 + 
   (15*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + (175149*S[2, Infinity]^4)/
    22400 + ((-81*S[-1, Infinity]^2)/32 - (105*S[2, Infinity])/8)*
    S[3, Infinity]^2 + ((2097*S[-1, Infinity]*S[2, Infinity])/32 + 
     (3625*S[3, Infinity])/512)*S[5, Infinity] - 
   9*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((49*S[-1, Infinity]^4)/80 + 
     (93*S[-1, 1, 1, 1, Infinity])/10) + 
   (3*(1216*S[-7, -1, Infinity] + 1159*S[5, 3, Infinity] + 
      3072*S[-5, -1, -1, -1, Infinity] - 3072*S[-5, -1, 1, 1, Infinity] + 
      3072*S[-1, 1, 1, 1, Infinity]^2))/512 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/20 + 
     (8*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (5617*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     17*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-13*S[-1, Infinity]^6)/40 + 6*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(19*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, -1, -2, -2, -1, Infinity] -> S[-1, Infinity]^8/18 + 
   (2423*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (96841*S[2, Infinity]^4)/14000 + ((849*S[-1, Infinity]^2)/112 + 
     (219*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (380*S[-1, Infinity]*S[2, Infinity])/7 - 
     (4467*S[3, Infinity])/128)*S[5, Infinity] - 
   (59553*S[-1, Infinity]*S[7, Infinity])/896 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(33*S[-5, 1, 1, Infinity] + 89*S[5, -1, -1, Infinity]))/
    7 - (8*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/30 + 
     (124*S[-1, 1, 1, 1, Infinity])/5) + 
   (-6720*S[-7, -1, Infinity] - 1393*S[5, 3, Infinity] - 
     960*S[-5, -1, -1, -1, Infinity] - 960*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((-39*S[-1, Infinity]^5)/40 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1861*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     26*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     13*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/15 + 36*S[-5, -1, Infinity] - 
     8*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     48*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -3, 1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/576 - 
   (133*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (105809*S[2, Infinity]^4)/
    112000 + ((-1545*S[-1, Infinity]^2)/448 + (355*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/48 - 
     (5939*S[-1, Infinity]*S[2, Infinity])/448 - (2451*S[3, Infinity])/128)*
    S[5, Infinity] + (33155*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 10*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((139*S[-1, Infinity]^4)/480 - 
     (49*S[-1, 1, 1, 1, Infinity])/20) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-28640*S[-7, -1, Infinity] - 6589*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity] - 
     6400*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/120 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/16 - 
     (1943*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/240 + 9*S[-5, -1, Infinity] + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -1, -3, 1, -1, Infinity] -> (37*S[-1, Infinity]^2*S[2, Infinity]^3)/
    7 + (449597*S[2, Infinity]^4)/392000 + 
   ((-3823*S[-1, Infinity]^2)/896 - (16033*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 + 
     (22301*S[-1, Infinity]*S[2, Infinity])/448 + (29059*S[3, Infinity])/896)*
    S[5, Infinity] - (207*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (646400*S[-7, -1, Infinity] + 160611*S[5, 3, Infinity] + 
     141440*S[-5, -1, -1, -1, Infinity] + 37760*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-911*S[-1, Infinity]^4)/3360 - 
     (139*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/840 + 
     (103*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (13717*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (59*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/120 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-899*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, -3, -1, 1, Infinity] -> -S[-1, Infinity]^8/64 - 
   (163*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (151049*S[2, Infinity]^4)/
    49000 + ((1053*S[-1, Infinity]^2)/896 + (2109*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 - 
     (9377*S[-1, Infinity]*S[2, Infinity])/448 - (3911*S[3, Infinity])/1792)*
    S[5, Infinity] + (117*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((1949*S[-1, Infinity]^4)/3360 - 
     (689*S[-1, 1, 1, 1, Infinity])/140) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-57180*S[-7, -1, Infinity] - 11937*S[5, 3, Infinity] - 
     9360*S[-5, -1, -1, -1, Infinity] - 5200*S[-5, -1, 1, 1, Infinity] - 
     10080*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/168 - 
     (65*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (949*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (65*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 + 
     (1241*S[-5, -1, Infinity] - 504*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -1, -3, -1, -1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (4709*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (57307*S[2, Infinity]^4)/49000 + ((11*S[-1, Infinity]^2)/56 + 
     (2997*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((217*S[-1, Infinity]^3)/48 - (8797*S[-1, Infinity]*S[2, Infinity])/112 - 
     (96851*S[3, Infinity])/1792)*S[5, Infinity] + 
   (15955*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (233*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-41*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((79*S[-1, Infinity]^4)/70 - 
     (108*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + (316*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-82160*S[-7, -1, Infinity] - 17693*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] - 7040*S[-5, -1, 1, 1, Infinity] - 
     4480*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((1087*S[-1, Infinity]^5)/1680 - 
     (793*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (63407*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (176*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -2, 2, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/96 - (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (11217*S[2, Infinity]^4)/5600 + (21*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-837*S[-1, Infinity]*S[2, Infinity])/128 + (71*S[3, Infinity])/128)*
    S[5, Infinity] + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/80 - 
     (9*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (3*(17*S[5, 3, Infinity] + 1024*S[-1, 1, 1, 1, Infinity]^2))/512 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/80 - 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (21*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-9*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity]))/8), 
 S[-2, -2, 2, 1, -1, Infinity] -> (5*S[-1, Infinity]^8)/144 + 
   (1611*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2285921*S[2, Infinity]^4)/392000 + 
   ((7157*S[-1, Infinity]^2)/448 + (3813*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-4139*S[-1, Infinity]*S[2, Infinity])/896 + 
     (59363*S[3, Infinity])/1792)*S[5, Infinity] - 
   (317875*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (79*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((1877*S[-1, Infinity]^4)/3360 + 
     (1483*S[-1, 1, 1, 1, Infinity])/140) + 
   (-18240*S[-7, -1, Infinity] - 15147*S[5, 3, Infinity] - 
     29760*S[-5, -1, -1, -1, Infinity] + 29760*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-2101*S[-1, Infinity]^5)/1680 + 
     (1415*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (3837*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (193*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-41*S[-1, Infinity]^6)/120 - (186*S[-5, -1, Infinity])/
      7 + 7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, 2, -1, 1, Infinity] -> S[-1, Infinity]^8/36 + 
   (65*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (6429*S[2, Infinity]^4)/784 + 
   ((1345*S[-1, Infinity]^2)/64 + (3825*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-171*S[-1, Infinity]*S[2, Infinity])/16 + 
     (86351*S[3, Infinity])/1792)*S[5, Infinity] - 
   (97527*S[-1, Infinity]*S[7, Infinity])/896 - 
   5*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (93*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/280 + 
     (297*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    ((-5*S[-1, Infinity]^6)/24 - (232*S[-5, -1, Infinity])/7 + 
     5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-3264*S[-7, -1, Infinity] - 2941*S[5, 3, Infinity] - 
     7424*S[-5, -1, -1, -1, Infinity] + 7424*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((-369*S[-1, Infinity]^5)/280 + 
     (1087*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2771*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (499*S[-1, 1, 1, 1, 1, Infinity])/14), S[-2, -2, 2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 - (477*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1886179*S[2, Infinity]^4)/392000 + 
   ((569*S[-1, Infinity]^2)/224 + (1181*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-2187*S[-1, Infinity]*S[2, Infinity])/224 - 
     (249*S[3, Infinity])/1792)*S[5, Infinity] + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-1417*S[-1, Infinity]^4)/1680 - 
     (53*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (7680*S[-7, -1, Infinity] - 25007*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] + 29440*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/280 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (1053*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (81*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((17*S[-1, Infinity]^6)/120 - 5*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + 
     (4*(-S[-5, -1, Infinity] - 42*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-2, -2, 1, 2, 1, Infinity] -> (5619*S[2, Infinity]^4)/4000 - 
   (195*S[2, Infinity]*S[3, Infinity]^2)/256 + 
   ((1395*S[-1, Infinity]*S[2, Infinity])/128 - (347*S[3, Infinity])/256)*
    S[5, Infinity] + (45*S[2, Infinity]*S[-5, -1, Infinity])/8 - 
   (5179*S[5, 3, Infinity])/2560, S[-2, -2, 1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/96 - (853*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1153259*S[2, Infinity]^4)/392000 + 
   ((-29*S[-1, Infinity]^2)/4 - (1207*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((173*S[-1, Infinity]*S[2, Infinity])/128 - (11525*S[3, Infinity])/896)*
    S[5, Infinity] + (72813*S[-1, Infinity]*S[7, Infinity])/1792 + 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (37*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-989*S[-1, Infinity]^4)/3360 - 
     (271*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 + (64*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (47360*S[-7, -1, Infinity] + 21237*S[5, 3, Infinity] + 
     40960*S[-5, -1, -1, -1, Infinity] - 40960*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((863*S[-1, Infinity]^5)/1680 - 
     (569*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1321*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (64*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -2, 1, 1, 2, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/32 - (284047*S[2, Infinity]^4)/
    336000 - (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/64 + 
   (255*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((-465*S[-1, Infinity]*S[2, Infinity])/64 - (637*S[3, Infinity])/512)*
    S[5, Infinity] - (15*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (913*S[5, 3, Infinity])/2560 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/64 - (3*S[-1, 1, 1, 1, Infinity])/8), 
 S[-2, -2, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (159*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (189157*S[2, Infinity]^4)/
    84000 + ((267*S[-1, Infinity]^2)/32 + (903*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-3*S[-1, Infinity]*S[2, Infinity])/8 + 
     (6159*S[3, Infinity])/512)*S[5, Infinity] - 
   (22321*S[-1, Infinity]*S[7, Infinity])/512 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 6*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((39*S[-1, Infinity]^4)/160 + 
     (63*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 - 12*S[-5, -1, Infinity] + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2240*S[-7, -1, Infinity] - 7893*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] + 15360*S[-5, -1, 1, 1, Infinity] + 
     15360*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/80 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (1083*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -2, 1, -1, 2, Infinity] -> 
  (123*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (1983553*S[2, Infinity]^4)/
    470400 + ((-1291*S[-1, Infinity]^2)/224 - (445*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (7099*S[-1, Infinity]*S[2, Infinity])/224 + (4863*S[3, Infinity])/1792)*
    S[5, Infinity] + (43439*S[-1, Infinity]*S[7, Infinity])/896 - 
   (40*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-19*S[-5, 1, 1, Infinity] - 47*S[5, -1, -1, Infinity]))/
    7 + (84096*S[-7, -1, Infinity] + 26459*S[5, 3, Infinity] + 
     30208*S[-5, -1, -1, -1, Infinity] - 8704*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/1120 + 
     (227*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(S[-1, Infinity]^5/21 - 
     (10*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (7041*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (101*S[-5, -1, Infinity] - 
       84*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-2, -2, 1, -1, -2, Infinity] -> (667*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (13760909*S[2, Infinity]^4)/2352000 + 
   ((207*S[-1, Infinity]^2)/448 + (19865*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-13823*S[-1, Infinity]*S[2, Infinity])/896 - 
     (31109*S[3, Infinity])/3584)*S[5, Infinity] + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (14800*S[-7, -1, Infinity] - 5557*S[5, 3, Infinity] - 
     7360*S[-5, -1, -1, -1, Infinity] + 7360*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-373*S[-1, Infinity]^4)/1120 - 
     S[-1, 1, 1, 1, Infinity]/140) + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/560 - (23*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (7617*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (69*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/15 - 16*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-821*S[-5, -1, Infinity] + 
       1344*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, -2, 1, -2, 1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (2693*S[2, Infinity]^4)/98000 + ((25*S[-1, Infinity]^2)/56 + 
     (375*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]*S[2, Infinity])/112 - (1221*S[3, Infinity])/1792)*
    S[5, Infinity] - (2433*S[-1, Infinity]*S[7, Infinity])/896 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (10*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (5120*S[-7, -1, Infinity] - 2123*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] + 3200*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(S[-1, Infinity]^4/168 - 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*(-S[-1, Infinity]^5/84 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -2, 1, -2, -1, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (9491*S[2, Infinity]^4)/19600 + 
   ((-145*S[-1, Infinity]^2)/224 - (2325*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-915*S[-1, Infinity]*S[2, Infinity])/896 + 
     (11745*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (10*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-6080*S[-7, -1, Infinity] + 1643*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*(-S[-1, Infinity]^4/168 + 
     S[-1, 1, 1, 1, Infinity]/7) + S[3, Infinity]*(S[-1, Infinity]^5/84 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (437*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (10*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -2, -1, 2, 1, Infinity] -> 
  (127*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (528377*S[2, Infinity]^4)/
    784000 + ((-41*S[-1, Infinity]^2)/32 - (2945*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (163*S[-1, Infinity]*S[2, Infinity])/16 + (46593*S[3, Infinity])/1792)*
    S[5, Infinity] + (51477*S[-1, Infinity]*S[7, Infinity])/1792 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (48*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-9*S[-5, 1, 1, Infinity] - 65*S[5, -1, -1, Infinity]))/
    7 + (679360*S[-7, -1, Infinity] + 246069*S[5, 3, Infinity] + 
     225280*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    17920 + S[2, Infinity]^2*((131*S[-1, Infinity]^4)/3360 - 
     (131*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((121*S[-1, Infinity]^5)/1680 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (77*S[-1, Infinity]*S[2, Infinity]^2)/16 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -2, -1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/72 + (871*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1464233*S[2, Infinity]^4)/196000 + 
   ((829*S[-1, Infinity]^2)/224 + (12849*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-12783*S[-1, Infinity]*S[2, Infinity])/224 - 
     (22403*S[3, Infinity])/896)*S[5, Infinity] + 
   (54*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-599*S[-1, Infinity]^4)/840 + 
     (179*S[-1, 1, 1, 1, Infinity])/35) + 
   (-97920*S[-7, -1, Infinity] - 27533*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*(S[-1, Infinity]^5/105 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1371*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-251*S[-5, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -2, -1, 1, 2, Infinity] -> -S[-1, Infinity]^8/48 - 
   (297*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (176069*S[2, Infinity]^4)/
    168000 + ((-2251*S[-1, Infinity]^2)/224 + (1829*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (25603*S[-1, Infinity]*S[2, Infinity])/896 - (8161*S[3, Infinity])/512)*
    S[5, Infinity] + (103749*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (82*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-61*S[-5, 1, 1, Infinity] - 33*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/60 - 
     (38*S[-1, 1, 1, 1, Infinity])/5) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (-119360*S[-7, -1, Infinity] - 
     23973*S[5, 3, Infinity] - 15360*S[-5, -1, -1, -1, Infinity] - 
     15360*S[-5, -1, 1, 1, Infinity] - 30720*S[-1, 1, 1, 1, Infinity]^2)/
    2560 + S[3, Infinity]*((133*S[-1, Infinity]^5)/120 - 
     (83*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (19109*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     25*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/40 + (69*S[-5, -1, Infinity])/4 - 
     7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, -1, 1, -2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (421*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (16340857*S[2, Infinity]^4)/2352000 + 
   ((45*S[-1, Infinity]^2)/448 - (11745*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-4307*S[-1, Infinity]*S[2, Infinity])/896 + 
     (13815*S[3, Infinity])/1792)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((193*S[-1, Infinity]^4)/672 - 
     (81*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-88320*S[-7, -1, Infinity] + 7199*S[5, 3, Infinity] - 
     6400*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/140 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (47*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, Infinity]/14) + S[2, Infinity]*
    (-S[-1, Infinity]^6/60 + 8*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (485*S[-5, -1, Infinity] - 1008*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, -2, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/96 - 
   (793*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (12667649*S[2, Infinity]^4)/1176000 + 
   ((-9*S[-1, Infinity]^2)/112 - (4777*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((747*S[-1, Infinity]*S[2, Infinity])/56 - 
     (3373*S[3, Infinity])/1792)*S[5, Infinity] - 
   (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((923*S[-1, Infinity]^4)/1680 - 
     (293*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   (-96000*S[-7, -1, Infinity] - 25509*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/140 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (407*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (62*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (295*S[-5, -1, Infinity] - 
       588*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -2, -1, -1, -2, Infinity] -> S[-1, Infinity]^8/72 - 
   (197*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1826677*S[2, Infinity]^4)/235200 + 
   ((803*S[-1, Infinity]^2)/56 + (23501*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (1269*S[-1, Infinity]*S[2, Infinity])/28 + (5629*S[3, Infinity])/896)*
    S[5, Infinity] - (3949*S[-1, Infinity]*S[7, Infinity])/32 + 
   (52*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((299*S[-1, Infinity]^4)/1680 + 
     (331*S[-1, 1, 1, 1, Infinity])/70) + 
   (-87296*S[-7, -1, Infinity] - 23383*S[5, 3, Infinity] - 
     27648*S[-5, -1, -1, -1, Infinity] + 6144*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-223*S[-1, Infinity]^5)/420 + 
     (51*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (71*S[-1, Infinity]*S[2, Infinity]^2)/28 + 10*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (96*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-2*S[-1, Infinity]^6)/15 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-181*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-2, -2, -1, -2, 1, Infinity] -> -S[-1, Infinity]^8/32 - 
   (21*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (157989*S[2, Infinity]^4)/
    22400 + ((81*S[-1, Infinity]^2)/32 + (4899*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((-11283*S[-1, Infinity]*S[2, Infinity])/128 - 
     (4225*S[3, Infinity])/256)*S[5, Infinity] + 
   9*S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    ((-29*S[-1, Infinity]^4)/80 - (123*S[-1, 1, 1, 1, Infinity])/10) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 - 
   (3*(1216*S[-7, -1, Infinity] + 1159*S[5, 3, Infinity] + 
      3072*S[-5, -1, -1, -1, Infinity] - 3072*S[-5, -1, 1, 1, Infinity] + 
      3072*S[-1, 1, 1, 1, Infinity]^2))/512 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/80 - 
     (59*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (3091*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     22*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((11*S[-1, Infinity]^6)/40 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(37*S[-5, -1, Infinity] - 24*S[-1, 1, 1, 1, 1, 1, Infinity]))/2), 
 S[-2, -2, -1, -2, -1, Infinity] -> -S[-1, Infinity]^8/36 - 
   (32*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (78221*S[2, Infinity]^4)/
    14000 + ((-89*S[-1, Infinity]^2)/112 - (219*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (6005*S[-1, Infinity]*S[2, Infinity])/224 + (2541*S[3, Infinity])/64)*
    S[5, Infinity] + (26127*S[-1, Infinity]*S[7, Infinity])/896 - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 51*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((137*S[-1, Infinity]^4)/120 - 
     (77*S[-1, 1, 1, 1, Infinity])/5) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (6720*S[-7, -1, Infinity] + 1393*S[5, 3, Infinity] + 
     960*S[-5, -1, -1, -1, Infinity] + 960*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/240 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (2133*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     18*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/60 - 36*S[-5, -1, Infinity] + 
     10*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     36*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, -2, 1, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (361*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (453423*S[2, Infinity]^4)/784000 + 
   ((-723*S[-1, Infinity]^2)/224 - (16*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((19*S[-1, Infinity]*S[2, Infinity])/112 - (7029*S[3, Infinity])/3584)*
    S[5, Infinity] + (51739*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/1120 - 
     (57*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (38*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-40640*S[-7, -1, Infinity] + 30549*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/560 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (76*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (38*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -2, -2, 1, -1, Infinity] -> 
  (S[-1, Infinity]^4*S[2, Infinity]^2)/8 - 
   (447*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (249*S[2, Infinity]^4)/100 + ((35*S[-1, Infinity]^2)/64 - 
     (269*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((99*S[-1, Infinity]*S[2, Infinity])/64 + (165*S[3, Infinity])/256)*
    S[5, Infinity] + S[3, Infinity]*(-S[-1, Infinity]^5/48 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2) + S[2, Infinity]*
    (-S[-1, Infinity]^6/40 + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*(3*S[-5, -1, Infinity] - 8*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, -2, -2, -1, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (1067*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (2960561*S[2, Infinity]^4)/784000 + 
   ((-333*S[-1, Infinity]^2)/448 - (5543*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((22671*S[-1, Infinity]*S[2, Infinity])/896 + 
     (151*S[3, Infinity])/28)*S[5, Infinity] - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-137*S[-1, Infinity]^4)/1680 + 
     (347*S[-1, 1, 1, 1, Infinity])/70) + 
   (40640*S[-7, -1, Infinity] + 41803*S[5, 3, Infinity] + 
     94720*S[-5, -1, -1, -1, Infinity] - 94720*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/560 + 
     (37*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (6549*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (111*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + (74*S[-5, -1, Infinity])/7 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, -2, -1, -1, Infinity] -> (199*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (31417*S[2, Infinity]^4)/7000 + 
   ((-393*S[-1, Infinity]^2)/56 - (41*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((4857*S[-1, Infinity]*S[2, Infinity])/224 - (857*S[3, Infinity])/64)*
    S[5, Infinity] + (30993*S[-1, Infinity]*S[7, Infinity])/896 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (33*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (323*S[5, 3, Infinity] + 640*S[-5, -1, -1, -1, Infinity] - 
     640*S[-5, -1, 1, 1, Infinity])/80 + S[2, Infinity]^2*
    ((-77*S[-1, Infinity]^4)/120 + (17*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*((21*S[-1, Infinity]^5)/80 - 
     (49*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (997*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     14*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((3*S[-1, Infinity]^6)/20 + 16*S[-5, -1, Infinity] - 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -3, 1, 1, 1, Infinity] -> -S[-1, Infinity]^8/192 + 
   (9*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (6507*S[2, Infinity]^4)/8000 - 
   (123*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/64 + (2233*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/160 + 
     (9*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (1159*S[5, 3, Infinity] - 1920*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/160 + 
     (63*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (21*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity]))/4), 
 S[-2, -3, 1, 1, -1, Infinity] -> -S[-1, Infinity]^8/64 - 
   (125*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (6593*S[2, Infinity]^4)/3136 + ((-4387*S[-1, Infinity]^2)/896 - 
     (7283*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/64 + (2157*S[-1, Infinity]*S[2, Infinity])/224 - 
     (363*S[3, Infinity])/3584)*S[5, Infinity] + 
   (78339*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (41*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-41*S[-5, 1, 1, Infinity] - 76*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-353*S[-1, Infinity]^4)/2240 - 
     (1881*S[-1, 1, 1, 1, Infinity])/280) + 
   (3*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (179712*S[-7, -1, Infinity] + 34325*S[5, 3, Infinity] + 
     31488*S[-5, -1, -1, -1, Infinity] + 4352*S[-5, -1, 1, 1, Infinity] - 
     32256*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((59*S[-1, Infinity]^5)/140 - 
     (213*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (7957*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/20 - (52*S[-5, -1, Infinity])/7 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -3, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (121*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (2334677*S[2, Infinity]^4)/
    784000 + ((-4393*S[-1, Infinity]^2)/896 + (5233*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/64 - 
     (8355*S[-1, Infinity]*S[2, Infinity])/448 - (33535*S[3, Infinity])/896)*
    S[5, Infinity] + (4409*S[-1, Infinity]*S[7, Infinity])/112 + 
   (69*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (3*S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((67*S[-1, Infinity]^4)/672 - 
     (151*S[-1, 1, 1, 1, Infinity])/28) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*((5*S[-1, Infinity]^6)/48 + (401*S[-5, -1, Infinity])/28 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-46720*S[-7, -1, Infinity] - 15583*S[5, 3, Infinity] - 
     4960*S[-5, -1, -1, -1, Infinity] - 12960*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((703*S[-1, Infinity]^5)/1120 - 
     (85*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (5371*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (49*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (197*S[-1, 1, 1, 1, 1, Infinity])/14), S[-2, -3, 1, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (921*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1009041*S[2, Infinity]^4)/784000 + 
   ((-563*S[-1, Infinity]^2)/448 + (4413*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-14229*S[-1, Infinity]*S[2, Infinity])/896 - 
     (7981*S[3, Infinity])/448)*S[5, Infinity] + 
   (109*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((2711*S[-1, Infinity]^4)/6720 + 
     (649*S[-1, 1, 1, 1, Infinity])/280) + 
   (-1113600*S[-7, -1, Infinity] - 151717*S[5, 3, Infinity] - 
     94720*S[-5, -1, -1, -1, Infinity] - 174080*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((193*S[-1, Infinity]^5)/1120 - 
     (93*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (6099*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (579*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (3*(-519*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-2, -3, -1, 1, 1, Infinity] -> (5*S[-1, Infinity]^8)/576 + 
   (3023*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (2377863*S[2, Infinity]^4)/784000 + 
   ((687*S[-1, Infinity]^2)/448 - (1955*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/48 + 
     (4831*S[-1, Infinity]*S[2, Infinity])/224 - (1653*S[3, Infinity])/448)*
    S[5, Infinity] - (13231*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (87*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(61*S[-5, 1, 1, Infinity] + 40*S[5, -1, -1, Infinity]))/
    14 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((1087*S[-1, Infinity]^4)/6720 + 
     (1013*S[-1, 1, 1, 1, Infinity])/280) + 
   S[2, Infinity]*((-5*S[-1, Infinity]^6)/48 - (79*S[-5, -1, Infinity])/28 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (219360*S[-7, -1, Infinity] + 43467*S[5, 3, Infinity] + 
     46720*S[-5, -1, -1, -1, Infinity] - 1920*S[-5, -1, 1, 1, Infinity] + 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/35 + 
     (947*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (14971*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/28), S[-2, -3, -1, 1, -1, Infinity] -> 
  (73*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + (134711*S[2, Infinity]^4)/
    112000 + ((-479*S[-1, Infinity]^2)/128 - (595*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 + 
     (1867*S[-1, Infinity]*S[2, Infinity])/64 + (579*S[3, Infinity])/128)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (-17920*S[-7, -1, Infinity] + 2049*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/15 + 
     (17*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/240 - (19*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (143*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/40 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (203*S[-5, -1, Infinity] - 72*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-2, -3, -1, -1, 1, Infinity] -> (2893*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 + (442129*S[2, Infinity]^4)/156800 + 
   ((-999*S[-1, Infinity]^2)/896 - (6749*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 + 
     (29341*S[-1, Infinity]*S[2, Infinity])/896 + (38589*S[3, Infinity])/
      3584)*S[5, Infinity] - (111*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (37376*S[-7, -1, Infinity] + 6571*S[5, 3, Infinity] + 
     7104*S[-5, -1, -1, -1, Infinity] + 1856*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/6720 - 
     (389*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-27*S[-1, Infinity]^5)/1120 + 
     (27*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (14859*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (81*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-449*S[-5, -1, Infinity] + 
       504*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-2, -3, -1, -1, -1, Infinity] -> (1149*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 + (1476933*S[2, Infinity]^4)/392000 + 
   ((-577*S[-1, Infinity]^2)/112 - (4015*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (20157*S[-1, Infinity]*S[2, Infinity])/448 + (12291*S[3, Infinity])/896)*
    S[5, Infinity] + (1051*S[-1, Infinity]*S[7, Infinity])/32 - 
   (52*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (86*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-4*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    2 + (364800*S[-7, -1, Infinity] + 88537*S[5, 3, Infinity] + 
     84480*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(S[-1, Infinity]^4/105 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/105 + (205*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (12871*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 2, 1, 1, 1, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (167611*S[2, Infinity]^4)/
    168000 + ((-15*S[-1, Infinity]^2)/8 - (7*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/96 + 
     (111*S[-1, Infinity]*S[2, Infinity])/32 + (1215*S[3, Infinity])/512)*
    S[5, Infinity] - (9505*S[-1, Infinity]*S[7, Infinity])/512 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (19*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(-6*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/2 + 
   (-59840*S[-7, -1, Infinity] - 5587*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity])/
    2560 + S[2, Infinity]^2*(-S[-1, Infinity]^4/40 + 
     (3*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (761*S[-1, Infinity]*S[2, Infinity]^2)/320 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 2, 1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/576 + (87*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (3140071*S[2, Infinity]^4)/1176000 + 
   ((759*S[-1, Infinity]^2)/448 - (159*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/192 - 
     (1121*S[-1, Infinity]*S[2, Infinity])/448 + (23479*S[3, Infinity])/3584)*
    S[5, Infinity] - (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-27*S[-1, Infinity]^4)/560 - 
     (82*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (797760*S[-7, -1, Infinity] + 96193*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] + 156160*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/840 + 
     (187*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (9703*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (73*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-733*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-3, 2, 1, -1, 1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (141*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (3779963*S[2, Infinity]^4)/1176000 + 
   ((117*S[-1, Infinity]^2)/448 + (6645*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/192 - 
     (4015*S[-1, Infinity]*S[2, Infinity])/448 - (44539*S[3, Infinity])/1792)*
    S[5, Infinity] + (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-107*S[-1, Infinity]^4)/1680 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + 
   (-312960*S[-7, -1, Infinity] - 39307*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] - 59520*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/420 - 
     (67*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (3883*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (86*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/720 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (179*S[-5, -1, Infinity] + 112*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-3, 2, 1, -1, -1, Infinity] -> (-363*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (193411*S[2, Infinity]^4)/117600 + 
   ((2101*S[-1, Infinity]^2)/896 + (8543*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 - 
     (13151*S[-1, Infinity]*S[2, Infinity])/896 - (78037*S[3, Infinity])/
      3584)*S[5, Infinity] - (10559*S[-1, Infinity]*S[7, Infinity])/256 + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 7*S[5, -1, -1, Infinity]))/2 + 
   (-313216*S[-7, -1, Infinity] - 49963*S[5, 3, Infinity] - 
     27904*S[-5, -1, -1, -1, Infinity] - 38400*S[-5, -1, 1, 1, Infinity])/
    3584 + S[2, Infinity]^2*((121*S[-1, Infinity]^4)/448 + 
     (141*S[-1, 1, 1, 1, Infinity])/56) + S[3, Infinity]*
    ((-163*S[-1, Infinity]^5)/3360 + (23*S[-1, Infinity]^3*S[2, Infinity])/
      42 - (8859*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (143*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + 6*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (1837*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-3, 2, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/576 - 
   (533*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (683171*S[2, Infinity]^4)/1176000 + 
   ((-81*S[-1, Infinity]^2)/224 - (1315*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((54*S[-1, Infinity]*S[2, Infinity])/7 - 
     (10541*S[3, Infinity])/1792)*S[5, Infinity] - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/840 - 
     (153*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (101120*S[-7, -1, Infinity] + 16771*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/560 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/112 + 
     (2577*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (33*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/720 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (67*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-3, 2, -1, 1, -1, Infinity] -> S[-1, Infinity]^8/96 - 
   (147*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (1618283*S[2, Infinity]^4)/588000 + 
   ((5309*S[-1, Infinity]^2)/896 + (1709*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (6619*S[-1, Infinity]*S[2, Infinity])/448 + (9115*S[3, Infinity])/3584)*
    S[5, Infinity] - (106843*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (5*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] + 18*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((45*S[-1, Infinity]^4)/112 + 
     (75*S[-1, 1, 1, 1, Infinity])/14) + 
   (-759040*S[-7, -1, Infinity] - 138237*S[5, 3, Infinity] - 
     129280*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     107520*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-713*S[-1, Infinity]^5)/1680 + 
     (419*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (405*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (11*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/5 + (43*S[-5, -1, Infinity])/14 + 
     6*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, 2, -1, -1, 1, Infinity] -> (7*S[-1, Infinity]^8)/576 + 
   (2337*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (659377*S[2, Infinity]^4)/1176000 + 
   ((793*S[-1, Infinity]^2)/224 - (1395*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/64 + 
     (7673*S[-1, Infinity]*S[2, Infinity])/448 + (92319*S[3, Infinity])/3584)*
    S[5, Infinity] - (148621*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] + 76*S[5, -1, -1, Infinity]))/
    14 - (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/84 + 
     (85*S[-1, 1, 1, 1, Infinity])/14) + 
   (153280*S[-7, -1, Infinity] + 49361*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 74240*S[-5, -1, 1, 1, Infinity] + 
     125440*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-1597*S[-1, Infinity]^5)/3360 + 
     (33*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (4659*S[-1, Infinity]*S[2, Infinity]^2)/448 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-7*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(227*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-3, 2, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/96 + 
   (43*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (122753*S[2, Infinity]^4)/
    336000 + ((-23*S[-1, Infinity]^2)/32 - (245*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((3273*S[-1, Infinity]*S[2, Infinity])/64 + 
     (18007*S[3, Infinity])/512)*S[5, Infinity] - 
   8*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-25*S[-1, Infinity]^4)/48 + 
     (3*S[-1, 1, 1, 1, Infinity])/2) + 
   (174080*S[-7, -1, Infinity] + 38057*S[5, 3, Infinity] + 
     34560*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     15360*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/40 + S[-1, Infinity]^3*
      S[2, Infinity] + (5367*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     27*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((17*S[-1, Infinity]^6)/360 - 9*S[-5, -1, Infinity] - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, 1, 1, Infinity]), S[-3, 1, 2, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/576 - (191*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (264633*S[2, Infinity]^4)/196000 + 
   ((-863*S[-1, Infinity]^2)/448 - (477*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/48 + 
     (59*S[-1, Infinity]*S[2, Infinity])/56 - (8857*S[3, Infinity])/1792)*
    S[5, Infinity] + (30937*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 6*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-227*S[-1, Infinity]^4)/3360 + 
     (17*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (33*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (10560*S[-7, -1, Infinity] - 1307*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] - 16640*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((349*S[-1, Infinity]^5)/3360 - 
     (251*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (1559*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 1, 2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/96 + (137*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (1499317*S[2, Infinity]^4)/392000 + 
   ((19*S[-1, Infinity]^2)/28 - (3013*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 + (4609*S[-1, Infinity]*S[2, Infinity])/224 + 
     (2431*S[3, Infinity])/896)*S[5, Infinity] - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((-757*S[-1, Infinity]^4)/3360 + 
     (757*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + (191*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (16560*S[-7, -1, Infinity] + 3569*S[5, 3, Infinity] + 
     9600*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] + 
     13440*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-901*S[-1, Infinity]^5)/3360 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (232*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (83*S[-1, 1, 1, 1, 1, Infinity])/14), S[-3, 1, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (289*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (716649*S[2, Infinity]^4)/392000 + 
   ((57*S[-1, Infinity]^2)/28 - (345*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 + (1031*S[-1, Infinity]*S[2, Infinity])/224 - 
     (14863*S[3, Infinity])/1792)*S[5, Infinity] - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((109*S[-1, Infinity]^4)/224 + 
     (93*S[-1, 1, 1, 1, Infinity])/28) + S[2, Infinity]*
    ((-7*S[-1, Infinity]^6)/48 + (125*S[-5, -1, Infinity])/28 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-640*S[-7, -1, Infinity] + 11307*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/168 + 
     (869*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (561*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 1, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (2323*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1889383*S[2, Infinity]^4)/392000 + 
   ((-125*S[-1, Infinity]^2)/14 - (99*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 + (3761*S[-1, Infinity]*S[2, Infinity])/896 - 
     (22451*S[3, Infinity])/896)*S[5, Infinity] + 
   (25877*S[-1, Infinity]*S[7, Infinity])/512 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-13*S[-5, 1, 1, Infinity] - 11*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((3817*S[-1, Infinity]^4)/6720 - 
     (37*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/16 + (307*S[-5, -1, Infinity])/14 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-76320*S[-7, -1, Infinity] + 11449*S[5, 3, Infinity] + 
     51200*S[-5, -1, -1, -1, Infinity] - 87040*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((1769*S[-1, Infinity]^5)/3360 - 
     (397*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (10091*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (136*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 1, 1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/576 + (121*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (540121*S[2, Infinity]^4)/588000 + 
   ((141*S[-1, Infinity]^2)/224 + (729*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-19*S[-1, Infinity]*S[2, Infinity])/224 + 
     (3805*S[3, Infinity])/3584)*S[5, Infinity] - 
   (60985*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (19*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 + 
   S[2, Infinity]^2*((-179*S[-1, Infinity]^4)/3360 - 
     (31*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - (19*S[-5, -1, Infinity])/7 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-68160*S[-7, -1, Infinity] - 21529*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/3360 - 
     (S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1599*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/28), S[-3, 1, 1, 2, -1, Infinity] -> 
  (-5*S[-1, Infinity]^8)/288 - (1059*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (993733*S[2, Infinity]^4)/588000 + 
   ((-293*S[-1, Infinity]^2)/224 - (113*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-2229*S[-1, Infinity]*S[2, Infinity])/448 - 
     (27745*S[3, Infinity])/3584)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((317*S[-1, Infinity]^4)/1680 - 
     (527*S[-1, 1, 1, 1, Infinity])/70) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (77120*S[-7, -1, Infinity] + 26513*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] - 
     179200*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/35 - 
     (293*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (9139*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (23*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (251*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/120 - (25*S[-5, -1, Infinity])/14 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, 1, 1, 1, 2, Infinity] -> -S[-1, Infinity]^8/576 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (557*S[2, Infinity]^4)/4000 + 
   ((-33*S[-1, Infinity]^2)/64 - (85*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((35*S[-1, Infinity]*S[2, Infinity])/64 + (533*S[3, Infinity])/256)*
    S[5, Infinity] + (129*S[-1, Infinity]*S[7, Infinity])/64 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/80 + (3*S[-1, 1, 1, 1, Infinity])/
      10) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-3200*S[-7, -1, Infinity] + 821*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/480 - 
     (S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     4*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/144 - S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (9*S[-5, -1, Infinity] + 4*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[-3, 1, 1, 1, -2, Infinity] -> S[-1, Infinity]^8/144 + 
   (21*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (5251*S[2, Infinity]^4)/
    28000 + ((7*S[-1, Infinity]^2)/8 + (109*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]*S[2, Infinity])/32 + 
     (271*S[3, Infinity])/256)*S[5, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/80 + (21*S[-1, 1, 1, 1, Infinity])/
      10) + (113*S[5, 3, Infinity] + 2560*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/8 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (147*S[-1, Infinity]*S[2, Infinity]^2)/80 + 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 5*S[-1, 1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/18 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (-S[-5, -1, Infinity] - 4*S[-1, 1, 1, 1, 1, 1, Infinity])/
      2), S[-3, 1, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/288 - 
   (51*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + (464299*S[2, Infinity]^4)/
    196000 + ((-341*S[-1, Infinity]^2)/224 + (1263*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((15*S[-1, Infinity]*S[2, Infinity])/7 - 
     (4489*S[3, Infinity])/896)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((337*S[-1, Infinity]^4)/3360 - 
     (57*S[-1, 1, 1, 1, Infinity])/140) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   (-105920*S[-7, -1, Infinity] - 12073*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((167*S[-1, Infinity]^5)/1680 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (4141*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/72 - 
     (10*(-8*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-3, 1, 1, -1, -2, Infinity] -> -S[-1, Infinity]^8/576 - 
   (169*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (1343767*S[2, Infinity]^4)/392000 + 
   ((1649*S[-1, Infinity]^2)/448 + (5415*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (146*S[-1, Infinity]*S[2, Infinity])/7 - (8553*S[3, Infinity])/1792)*
    S[5, Infinity] - (92839*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (29*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((99*S[-1, Infinity]^4)/2240 - 
     (17*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-507040*S[-7, -1, Infinity] - 121591*S[5, 3, Infinity] - 
     120320*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-59*S[-1, Infinity]^5)/3360 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1079*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (6*S[-1, 1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (S[-1, Infinity]^6/720 + (421*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-3, 1, 1, -2, 1, Infinity] -> S[-1, Infinity]^8/288 + 
   (7*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (46331*S[2, Infinity]^4)/
    84000 + ((35*S[-1, Infinity]^2)/64 + (101*S[2, Infinity])/128)*
    S[3, Infinity]^2 - (685*S[3, Infinity]*S[5, Infinity])/256 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/480 + 
     (7*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-213*S[5, 3, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/240 + 
     (S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (49*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (9*S[-1, 1, 1, 1, 1, Infinity])/4), S[-3, 1, 1, -2, -1, Infinity] -> 
  (5*S[-1, Infinity]^8)/576 + (1177*S[-1, Infinity]^2*S[2, Infinity]^3)/
    1120 - (1704119*S[2, Infinity]^4)/1176000 + 
   ((35*S[-1, Infinity]^2)/32 + (169*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-37*S[-1, Infinity]*S[2, Infinity])/16 + (8451*S[3, Infinity])/896)*
    S[5, Infinity] - (4831*S[-1, Infinity]*S[7, Infinity])/448 - 
   (5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/14 - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-2347*S[-1, Infinity]^4)/6720 + 
     (1087*S[-1, 1, 1, 1, Infinity])/280) + 
   (-9500*S[-7, -1, Infinity] - 333*S[5, 3, Infinity] - 
     800*S[-5, -1, -1, -1, Infinity] + 800*S[-5, -1, 1, 1, Infinity] + 
     5600*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-719*S[-1, Infinity]^5)/3360 + 
     (S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (361*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (27*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - (75*S[-5, -1, Infinity])/28 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, 1, -1, 2, 1, Infinity] -> S[-1, Infinity]^8/288 - 
   (33*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (205909*S[2, Infinity]^4)/
    58800 + ((533*S[-1, Infinity]^2)/896 + (227*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-243*S[-1, Infinity]*S[2, Infinity])/14 + 
     (23337*S[3, Infinity])/3584)*S[5, Infinity] + 
   (81*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/70 - 
     (51*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (373*S[-5, -1, Infinity])/28 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (8896*S[-7, -1, Infinity] - 5625*S[5, 3, Infinity] - 
     20736*S[-5, -1, -1, -1, Infinity] + 20736*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((173*S[-1, Infinity]^5)/3360 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (13819*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (18*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 1, -1, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (91*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (1708633*S[2, Infinity]^4)/2352000 + 
   ((-1333*S[-1, Infinity]^2)/224 + (75*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 - 
     (8881*S[-1, Infinity]*S[2, Infinity])/448 + (23147*S[3, Infinity])/1792)*
    S[5, Infinity] + (7519*S[-1, Infinity]*S[7, Infinity])/224 + 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-33*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-2509*S[-1, Infinity]^4)/3360 - 
     (851*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (259200*S[-7, -1, Infinity] + 24201*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 64000*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((563*S[-1, Infinity]^5)/1680 - 
     (979*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (4341*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (86*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-305*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-3, 1, -1, 1, 2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (351*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (657453*S[2, Infinity]^4)/196000 + 
   ((-25*S[-1, Infinity]^2)/224 - (3639*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((33*S[-1, Infinity]*S[2, Infinity])/7 + 
     (1717*S[3, Infinity])/448)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-491*S[-1, Infinity]^4)/1680 - 
     (419*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (421440*S[-7, -1, Infinity] + 43637*S[5, 3, Infinity] + 
     14080*S[-5, -1, -1, -1, Infinity] + 75520*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-31*S[-1, Infinity]^5)/3360 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (73*S[-1, Infinity]*S[2, Infinity]^2)/28 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (69*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((37*S[-1, Infinity]^6)/360 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-535*S[-5, -1, Infinity] - 
       392*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-3, 1, -1, 1, -2, Infinity] -> S[-1, Infinity]^8/96 + 
   (8231*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (500079*S[2, Infinity]^4)/784000 + 
   ((6595*S[-1, Infinity]^2)/896 - (35073*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (10329*S[-1, Infinity]*S[2, Infinity])/224 + (95517*S[3, Infinity])/
      1792)*S[5, Infinity] + (10893*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (465*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(109*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((689*S[-1, Infinity]^4)/3360 + 
     (501*S[-1, 1, 1, 1, Infinity])/140) + 
   (1111680*S[-7, -1, Infinity] + 225629*S[5, 3, Infinity] + 
     158080*S[-5, -1, -1, -1, Infinity] + 128640*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-379*S[-1, Infinity]^5)/560 + 
     (1735*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (55411*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (201*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-89*S[-1, Infinity]^6)/720 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-2511*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-3, 1, -1, -1, 2, Infinity] -> (5*S[-1, Infinity]^8)/576 + 
   (1975*S[-1, Infinity]^2*S[2, Infinity]^3)/224 + 
   (83773*S[2, Infinity]^4)/78400 + ((843*S[-1, Infinity]^2)/112 - 
     (25505*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/16 + (54585*S[-1, Infinity]*S[2, Infinity])/
      896 + (54185*S[3, Infinity])/896)*S[5, Infinity] + 
   (160011*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (295*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(115*S[-5, 1, 1, Infinity] - 81*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((1759*S[-1, Infinity]^4)/6720 + 
     (201*S[-1, 1, 1, 1, Infinity])/280) - 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (41772*S[-7, -1, Infinity] + 7859*S[5, 3, Infinity] + 
     5760*S[-5, -1, -1, -1, Infinity] + 4320*S[-5, -1, 1, 1, Infinity] + 
     1120*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*((-787*S[-1, Infinity]^5)/1120 + 
     (40*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (2241*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (284*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-19*S[-1, Infinity]^6)/180 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-417*S[-5, -1, Infinity] - 35*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-3, 1, -1, -1, -2, Infinity] -> -S[-1, Infinity]^8/192 + 
   (59*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - (319933*S[2, Infinity]^4)/
    56000 + ((67*S[-1, Infinity]^2)/128 - (1047*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((325*S[-1, Infinity]*S[2, Infinity])/64 + 
     (6133*S[3, Infinity])/256)*S[5, Infinity] - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   S[2, Infinity]^2*((-461*S[-1, Infinity]^4)/960 - 
     (159*S[-1, 1, 1, 1, Infinity])/40) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (166400*S[-7, -1, Infinity] + 28797*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] + 32000*S[-5, -1, 1, 1, Infinity] - 
     7680*S[-1, 1, 1, 1, Infinity]^2)/2560 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/120 + 
     (19*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (827*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     13*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    ((71*S[-1, Infinity]^6)/720 - (3*S[-1, Infinity]^2*
       S[-1, 1, 1, 1, Infinity])/2 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-121*S[-5, -1, Infinity] - 
       56*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[-3, 1, -1, -2, 1, Infinity] -> S[-1, Infinity]^8/96 + 
   (4127*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (4331717*S[2, Infinity]^4)/2352000 + 
   ((887*S[-1, Infinity]^2)/448 - (9147*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (2463*S[-1, Infinity]*S[2, Infinity])/112 + (30165*S[3, Infinity])/3584)*
    S[5, Infinity] - (4735*S[-1, Infinity]*S[7, Infinity])/896 - 
   (135*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((181*S[-1, Infinity]^4)/1680 + 
     (449*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 - (307*S[-5, -1, Infinity])/56 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (3575*S[-7, -1, Infinity] + 839*S[5, 3, Infinity] + 
     710*S[-5, -1, -1, -1, Infinity] + 130*S[-5, -1, 1, 1, Infinity] + 
     840*S[-1, 1, 1, 1, Infinity]^2)/140 + 
   S[3, Infinity]*((-761*S[-1, Infinity]^5)/1680 + 
     (467*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (19877*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (13*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 1, -1, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (2197*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (7323037*S[2, Infinity]^4)/1176000 + 
   ((1913*S[-1, Infinity]^2)/896 + (2551*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((8187*S[-1, Infinity]*S[2, Infinity])/896 - 
     (93977*S[3, Infinity])/3584)*S[5, Infinity] - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((403*S[-1, Infinity]^4)/840 + 
     (122*S[-1, 1, 1, 1, Infinity])/35) + 
   (78080*S[-7, -1, Infinity] - 2953*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-557*S[-1, Infinity]^5)/3360 + 
     (101*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1111*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (423*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (-149*S[-5, -1, Infinity] + 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-3, 1, -2, 1, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (41*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (3699*S[2, Infinity]^4)/
    8000 + ((-49*S[-1, Infinity]^2)/64 - (83*S[2, Infinity])/128)*
    S[3, Infinity]^2 - (1129*S[3, Infinity]*S[5, Infinity])/256 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/240 - 
     (41*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-459*S[5, 3, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/80 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (287*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4), S[-3, 1, -2, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/192 + (149*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (8937*S[2, Infinity]^4)/9800 + ((239*S[-1, Infinity]^2)/224 + 
     (5197*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/32 - (83*S[-1, Infinity]*S[2, Infinity])/14 + 
     (4497*S[3, Infinity])/3584)*S[5, Infinity] - 
   (2929*S[-1, Infinity]*S[7, Infinity])/256 + 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 3*S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((779*S[-1, Infinity]^4)/1680 + 
     (83*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/8 + (47*S[-5, -1, Infinity])/56 + 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-54016*S[-7, -1, Infinity] - 10915*S[5, 3, Infinity] - 
     11264*S[-5, -1, -1, -1, Infinity] + 512*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((-253*S[-1, Infinity]^5)/3360 + 
     (149*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3889*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (2*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 1, -2, -1, 1, Infinity] -> 
  (99*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (3224019*S[2, Infinity]^4)/
    784000 + ((1167*S[-1, Infinity]^2)/448 + (6359*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (3047*S[-1, Infinity]*S[2, Infinity])/224 + (63871*S[3, Infinity])/3584)*
    S[5, Infinity] - (7643*S[-1, Infinity]*S[7, Infinity])/448 + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(8*S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity]))/
    7 + (-25280*S[-7, -1, Infinity] - 24701*S[5, 3, Infinity] - 
     59520*S[-5, -1, -1, -1, Infinity] + 59520*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-509*S[-1, Infinity]^4)/1680 - 
     (121*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (S[-1, Infinity]^6/16 - (639*S[-5, -1, Infinity])/56 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-127*S[-1, Infinity]^5)/3360 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (389*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 1, -2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/192 - (149*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2306939*S[2, Infinity]^4)/784000 + 
   ((-907*S[-1, Infinity]^2)/448 - (2523*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-1689*S[-1, Infinity]*S[2, Infinity])/896 + 
     (18503*S[3, Infinity])/896)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-2437*S[-1, Infinity]^4)/3360 - 
     (713*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*((3*S[-1, Infinity]^6)/16 - (52*S[-5, -1, Infinity])/7 - 
     (9*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (181760*S[-7, -1, Infinity] + 46143*S[5, 3, Infinity] - 
     3840*S[-5, -1, -1, -1, Infinity] + 57600*S[-5, -1, 1, 1, Infinity] - 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((653*S[-1, Infinity]^5)/3360 - 
     (381*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (37*S[-1, Infinity]*S[2, Infinity]^2)/224 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (327*S[-1, 1, 1, 1, 1, Infinity])/28), 
 S[-3, -1, 2, 1, 1, Infinity] -> -S[-1, Infinity]^8/192 + 
   (6*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (9873*S[2, Infinity]^4)/11200 + 
   ((9*S[-1, Infinity]^2)/64 + (5*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   (-3*S[-1, Infinity]*S[2, Infinity] - (287*S[3, Infinity])/256)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/60 + 
     (47*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (S[-1, Infinity]^6/16 + (3*S[-5, -1, Infinity])/2 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-432*S[-7, -1, Infinity] - 51*S[5, 3, Infinity] - 
     32*S[-5, -1, -1, -1, Infinity] + 32*S[-5, -1, 1, 1, Infinity] - 
     96*S[-1, 1, 1, 1, Infinity]^2)/32 + S[3, Infinity]*
    (S[-1, Infinity]^5/24 - (5*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     5*S[-1, 1, 1, 1, 1, Infinity]), S[-3, -1, 2, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/48 + (3379*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2650421*S[2, Infinity]^4)/784000 + 
   ((-9*S[-1, Infinity]^2)/28 - (3971*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-217*S[-1, Infinity]^3)/32 + (33283*S[-1, Infinity]*S[2, Infinity])/
      896 + (103137*S[3, Infinity])/1792)*S[5, Infinity] + 
   (19099*S[-1, Infinity]*S[7, Infinity])/3584 - 
   (163*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] - 71*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-507*S[-1, Infinity]^4)/448 - 
     (663*S[-1, 1, 1, 1, Infinity])/56) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (253040*S[-7, -1, Infinity] + 
     55939*S[5, 3, Infinity] + 43520*S[-5, -1, -1, -1, Infinity] + 
     30400*S[-5, -1, 1, 1, Infinity] - 26880*S[-1, 1, 1, 1, Infinity]^2)/
    2240 + S[3, Infinity]*((11*S[-1, Infinity]^5)/168 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (7955*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (190*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((101*S[-1, Infinity]^6)/240 - 
     (21*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-1397*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-3, -1, 2, -1, 1, Infinity] -> -S[-1, Infinity]^8/48 - 
   (559*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (2321251*S[2, Infinity]^4)/392000 + 
   ((397*S[-1, Infinity]^2)/112 - (555*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-217*S[-1, Infinity]^3)/32 - 
     (3347*S[-1, Infinity]*S[2, Infinity])/224 + (10723*S[3, Infinity])/1792)*
    S[5, Infinity] + (7519*S[-1, Infinity]*S[7, Infinity])/896 - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(18*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((167*S[-1, Infinity]^4)/280 - 
     (396*S[-1, 1, 1, 1, Infinity])/35) + S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + (49760*S[-7, -1, Infinity] + 
     5063*S[5, 3, Infinity] - 1280*S[-5, -1, -1, -1, Infinity] + 
     14720*S[-5, -1, 1, 1, Infinity] - 26880*S[-1, 1, 1, 1, Infinity]^2)/
    2240 + S[3, Infinity]*((379*S[-1, Infinity]^5)/1120 - 
     (647*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (5577*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (22*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-305*S[-5, -1, Infinity] - 336*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-3, -1, 2, -1, -1, Infinity] -> (-11*S[-1, Infinity]^8)/576 - 
   (709*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1137271*S[2, Infinity]^4)/784000 + 
   ((433*S[-1, Infinity]^2)/112 + (3777*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-45207*S[-1, Infinity]*S[2, Infinity])/448 - 
     (54535*S[3, Infinity])/896)*S[5, Infinity] + 
   (187*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((167*S[-1, Infinity]^4)/224 - 
     (123*S[-1, 1, 1, 1, Infinity])/28) + 
   (11*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-922720*S[-7, -1, Infinity] - 236331*S[5, 3, Infinity] - 
     230400*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity] - 
     98560*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((71*S[-1, Infinity]^5)/210 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (4049*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (284*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/80 + 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     24*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (6*(11*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-3, -1, 1, 2, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (313*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (48481*S[2, Infinity]^4)/294000 + ((-351*S[-1, Infinity]^2)/896 - 
     (451*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((117*S[-1, Infinity]*S[2, Infinity])/14 + (63561*S[3, Infinity])/3584)*
    S[5, Infinity] - (39*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/336 + 
     (13*S[-1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/16 + (149*S[-5, -1, Infinity])/28 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-40000*S[-7, -1, Infinity] + 100463*S[5, 3, Infinity] + 
     49920*S[-5, -1, -1, -1, Infinity] - 49920*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-139*S[-1, Infinity]^5)/1680 + 
     (139*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (7547*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (139*S[-1, 1, 1, 1, 1, Infinity])/14), S[-3, -1, 1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/192 + (419*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (26707*S[2, Infinity]^4)/14700 + ((-297*S[-1, Infinity]^2)/112 - 
     (7995*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/16 + (183*S[-1, Infinity]*S[2, Infinity])/896 + 
     (22763*S[3, Infinity])/1792)*S[5, Infinity] + 
   (70979*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (3*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((1357*S[-1, Infinity]^4)/2240 + 
     (549*S[-1, 1, 1, 1, Infinity])/280) + 
   (2764*S[-7, -1, Infinity] + 1543*S[5, 3, Infinity] + 
     1664*S[-5, -1, -1, -1, Infinity] - 320*S[-5, -1, 1, 1, Infinity] + 
     672*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*((283*S[-1, Infinity]^5)/3360 - 
     (185*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (2529*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (19*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-29*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     9*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(9*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-3, -1, 1, 1, 2, Infinity] -> -S[-1, Infinity]^8/576 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (543889*S[2, Infinity]^4)/
    196000 + ((207*S[-1, Infinity]^2)/448 + (2357*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-69*S[-1, Infinity]*S[2, Infinity])/7 - 
     (29215*S[3, Infinity])/1792)*S[5, Infinity] + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/70 + (129*S[-1, 1, 1, 1, Infinity])/
      70) + (-272320*S[-7, -1, Infinity] - 72341*S[5, 3, Infinity] - 
     29440*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/1680 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (4183*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (97*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/80 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(-81*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-3, -1, 1, 1, -2, Infinity] -> (-7*S[-1, Infinity]^8)/576 - 
   (5829*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (426397*S[2, Infinity]^4)/156800 + 
   ((-4321*S[-1, Infinity]^2)/896 + (21713*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/16 - 
     (6595*S[-1, Infinity]*S[2, Infinity])/224 - (38875*S[3, Infinity])/1792)*
    S[5, Infinity] - (66189*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (293*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-71*S[-5, 1, 1, Infinity] + 13*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((-1307*S[-1, Infinity]^4)/6720 - 
     (1493*S[-1, 1, 1, 1, Infinity])/280) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-142048*S[-7, -1, Infinity] - 25601*S[5, 3, Infinity] - 
     19328*S[-5, -1, -1, -1, Infinity] - 14720*S[-5, -1, 1, 1, Infinity] - 
     12544*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((193*S[-1, Infinity]^5)/336 - 
     (671*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (17219*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (115*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((13*S[-1, Infinity]^6)/90 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (705*S[-5, -1, Infinity] + 28*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-3, -1, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/96 + 
   (143*S[-1, Infinity]^2*S[2, Infinity]^3)/224 - 
   (1780861*S[2, Infinity]^4)/784000 + 
   ((89*S[-1, Infinity]^2)/16 + (3537*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/16 - (303*S[-1, Infinity]*S[2, Infinity])/32 + 
     (2375*S[3, Infinity])/896)*S[5, Infinity] - 
   (71999*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(47*S[-5, 1, 1, Infinity] + 75*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]^2*((303*S[-1, Infinity]^4)/1120 + 
     (421*S[-1, 1, 1, 1, Infinity])/140) + 
   (-97920*S[-7, -1, Infinity] - 41057*S[5, 3, Infinity] - 
     43520*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-311*S[-1, Infinity]^5)/840 + 
     (71*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (959*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (66*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-31*S[-1, Infinity]^6)/240 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(-43*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/56), 
 S[-3, -1, 1, -1, -2, Infinity] -> S[-1, Infinity]^8/288 + 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (206083*S[2, Infinity]^4)/
    392000 + ((171*S[-1, Infinity]^2)/896 + (219*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-331*S[-1, Infinity]*S[2, Infinity])/28 + 
     (1803*S[3, Infinity])/448)*S[5, Infinity] + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((59*S[-1, Infinity]^4)/3360 + 
     (221*S[-1, 1, 1, 1, Infinity])/140) + 
   (-46400*S[-7, -1, Infinity] + 8671*S[5, 3, Infinity] - 
     12160*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/1680 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (1091*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] - (3*(65*S[-5, -1, Infinity] - 
        56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-3, -1, 1, -2, 1, Infinity] -> -S[-1, Infinity]^8/288 - 
   (351*S[-1, Infinity]^2*S[2, Infinity]^3)/160 - 
   (201413*S[2, Infinity]^4)/294000 + 
   ((-27*S[-1, Infinity]^2)/64 - (2301*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/16 - 
     (175*S[-1, Infinity]*S[2, Infinity])/16 + (2045*S[3, Infinity])/1792)*
    S[5, Infinity] + (311*S[-1, Infinity]*S[7, Infinity])/14 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 22*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/420 - 
     (59*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (211*S[-5, -1, Infinity])/56 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-28800*S[-7, -1, Infinity] + 14013*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((599*S[-1, Infinity]^5)/3360 - 
     (403*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (111*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (109*S[-1, 1, 1, 1, 1, Infinity])/28), S[-3, -1, 1, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/288 - (279*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (119093*S[2, Infinity]^4)/2352000 + 
   ((401*S[-1, Infinity]^2)/896 - (53*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((51*S[-1, Infinity]*S[2, Infinity])/56 - (15975*S[3, Infinity])/1792)*
    S[5, Infinity] + (99*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-121*S[-1, Infinity]^4)/560 + 
     (153*S[-1, 1, 1, 1, Infinity])/70) + 
   (-44880*S[-7, -1, Infinity] - 10659*S[5, 3, Infinity] - 
     2400*S[-5, -1, -1, -1, Infinity] - 11040*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/560 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (117*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (51*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/30 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (3*(123*S[-5, -1, Infinity] - 
        112*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-3, -1, -1, 2, 1, Infinity] -> -S[-1, Infinity]^8/576 - 
   (327*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (223781*S[2, Infinity]^4)/
    470400 + ((23*S[-1, Infinity]^2)/224 + (459*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (5379*S[-1, Infinity]*S[2, Infinity])/224 - (671*S[3, Infinity])/112)*
    S[5, Infinity] + (90911*S[-1, Infinity]*S[7, Infinity])/3584 + 
   (65*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 101*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((31*S[-1, Infinity]^4)/3360 - 
     (241*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 + (151*S[-5, -1, Infinity])/14 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-21328*S[-7, -1, Infinity] - 2397*S[5, 3, Infinity] - 
     768*S[-5, -1, -1, -1, Infinity] - 4608*S[-5, -1, 1, 1, Infinity] - 
     896*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((271*S[-1, Infinity]^5)/1120 - 
     (547*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (7137*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (19*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, -1, -1, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/72 - (2969*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (3436319*S[2, Infinity]^4)/1176000 + 
   ((-251*S[-1, Infinity]^2)/224 - (1831*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((1401*S[-1, Infinity]*S[2, Infinity])/112 + 
     (195*S[3, Infinity])/112)*S[5, Infinity] + 
   (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-859*S[-1, Infinity]^4)/1680 + 
     (439*S[-1, 1, 1, 1, Infinity])/70) + 
   (-61760*S[-7, -1, Infinity] - 6681*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity] - 15360*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-109*S[-1, Infinity]^5)/1680 + 
     (95*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (2259*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (37*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-3*S[-1, Infinity]^6)/40 + S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (299*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-3, -1, -1, 1, 2, Infinity] -> -S[-1, Infinity]^8/144 - 
   (2687*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (113093*S[2, Infinity]^4)/156800 + 
   ((-57*S[-1, Infinity]^2)/7 + (30111*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (61303*S[-1, Infinity]*S[2, Infinity])/896 - (30043*S[3, Infinity])/448)*
    S[5, Infinity] - (98829*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (173*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-69*S[-5, 1, 1, Infinity] + 43*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-2081*S[-1, Infinity]^4)/6720 + 
     (261*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-95024*S[-7, -1, Infinity] - 18609*S[5, 3, Infinity] - 
     13312*S[-5, -1, -1, -1, Infinity] - 9536*S[-5, -1, 1, 1, Infinity] - 
     1792*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((2753*S[-1, Infinity]^5)/3360 - 
     (717*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (78629*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (43*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (312*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/10 - 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] - 
     (9*(-51*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-3, -1, -1, 1, -2, Infinity] -> -S[-1, Infinity]^8/576 - 
   (1641*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (794391*S[2, Infinity]^4)/392000 + 
   ((225*S[-1, Infinity]^2)/224 + (5123*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-11553*S[-1, Infinity]*S[2, Infinity])/448 - 
     (45999*S[3, Infinity])/1792)*S[5, Infinity] + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((999*S[-1, Infinity]^4)/2240 + 
     (223*S[-1, 1, 1, 1, Infinity])/280) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   (-1219840*S[-7, -1, Infinity] - 228469*S[5, 3, Infinity] - 
     128000*S[-5, -1, -1, -1, Infinity] - 140800*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((67*S[-1, Infinity]^5)/672 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (17833*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (75*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((-11*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (643*S[-5, -1, Infinity] + 168*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-3, -1, -1, -1, 2, Infinity] -> -S[-1, Infinity]^8/192 - 
   (185*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (462621*S[2, Infinity]^4)/156800 + 
   ((45*S[-1, Infinity]^2)/28 + (865*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-240*S[-1, Infinity]*S[2, Infinity])/7 - (194*S[3, Infinity])/7)*
    S[5, Infinity] + (40*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((89*S[-1, Infinity]^4)/224 + 
     (27*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-81840*S[-7, -1, Infinity] - 16049*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] - 
     2688*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/84 - 
     (27*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (1889*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (120*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/240 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (9*(-79*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-3, -1, -1, -1, -2, Infinity] -> 
  (-5799*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (149997*S[2, Infinity]^4)/98000 + 
   ((-29*S[-1, Infinity]^2)/14 + (2435*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/8 - (4621*S[-1, Infinity]*S[2, Infinity])/56 - 
     (36201*S[3, Infinity])/448)*S[5, Infinity] - 
   (19965*S[-1, Infinity]*S[7, Infinity])/224 + 
   (188*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 24*S[5, -1, -1, Infinity]))/
    7 + (-568000*S[-7, -1, Infinity] - 115181*S[5, 3, Infinity] - 
     92160*S[-5, -1, -1, -1, Infinity] - 51200*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/560 + 
     (118*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/28 - (181*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (9981*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     2*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (320*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/90 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (4177*S[-5, -1, Infinity] + 392*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-3, -1, -1, -2, 1, Infinity] -> (-7*S[-1, Infinity]^8)/576 + 
   (461*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (4693001*S[2, Infinity]^4)/2352000 + 
   ((-225*S[-1, Infinity]^2)/448 - (1259*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((75*S[-1, Infinity]*S[2, Infinity])/7 - 
     (269*S[3, Infinity])/112)*S[5, Infinity] - 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((-1171*S[-1, Infinity]^4)/3360 - 
     (299*S[-1, 1, 1, 1, Infinity])/140) + 
   (7*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*((7*S[-1, Infinity]^6)/48 + (85*S[-5, -1, Infinity])/7 - 
     (7*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-90400*S[-7, -1, Infinity] + 8063*S[5, 3, Infinity] + 
     32000*S[-5, -1, -1, -1, Infinity] - 32000*S[-5, -1, 1, 1, Infinity] - 
     62720*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/840 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (7597*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/28), S[-3, -1, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/72 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/4 - 
   (55603*S[2, Infinity]^4)/9408 + ((485*S[-1, Infinity]^2)/112 - 
     (555*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (531*S[-1, Infinity]*S[2, Infinity])/224 + 
     (7937*S[3, Infinity])/896)*S[5, Infinity] - 
   (8497*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(53*S[-5, 1, 1, Infinity] - 59*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((33*S[-1, Infinity]^4)/35 - 
     (162*S[-1, 1, 1, 1, Infinity])/35) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (-16640*S[-7, -1, Infinity] + 689*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((93*S[-1, Infinity]^5)/1120 - 
     (209*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/40 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 12*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (227*S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-3, -1, -2, 1, 1, Infinity] -> -S[-1, Infinity]^8/192 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (141951*S[2, Infinity]^4)/
    78400 + ((-19*S[-1, Infinity]^2)/16 - (4299*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-403*S[-1, Infinity]^3)/48 + 
     (63*S[-1, Infinity]*S[2, Infinity])/8 + (90695*S[3, Infinity])/3584)*
    S[5, Infinity] + (40987*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(-3*S[-5, 1, 1, Infinity] - 52*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/1120 - 
     (543*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]*(S[-1, Infinity]^6/16 - (407*S[-5, -1, Infinity])/28 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (9756*S[-7, -1, Infinity] + 2183*S[5, 3, Infinity] + 
     1872*S[-5, -1, -1, -1, Infinity] + 1040*S[-5, -1, 1, 1, Infinity] - 
     672*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/14 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (121*S[-1, Infinity]*S[2, Infinity]^2)/40 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (65*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-3, -1, -2, 1, -1, Infinity] -> S[-1, Infinity]^8/144 - 
   (937*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1394889*S[2, Infinity]^4)/392000 + 
   ((977*S[-1, Infinity]^2)/448 + (16327*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 - 
     (34963*S[-1, Infinity]*S[2, Infinity])/896 - (97147*S[3, Infinity])/
      3584)*S[5, Infinity] + (179*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((143*S[-1, Infinity]^4)/672 + 
     (109*S[-1, 1, 1, 1, Infinity])/28) + 
   (-682240*S[-7, -1, Infinity] - 134753*S[5, 3, Infinity] - 
     105600*S[-5, -1, -1, -1, Infinity] - 73600*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((313*S[-1, Infinity]^5)/3360 - 
     (313*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (23017*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (313*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-13*S[-1, Infinity]^6)/240 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (181*S[-5, -1, Infinity] + 336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-3, -1, -2, -1, 1, Infinity] -> S[-1, Infinity]^8/576 - 
   (3179*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (2765509*S[2, Infinity]^4)/784000 + 
   ((-9*S[-1, Infinity]^2)/28 - (6065*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/96 + (451*S[-1, Infinity]*S[2, Infinity])/224 + 
     (599*S[3, Infinity])/224)*S[5, Infinity] - 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((-421*S[-1, Infinity]^4)/3360 + 
     (211*S[-1, 1, 1, 1, Infinity])/140) + 
   (201760*S[-7, -1, Infinity] + 59979*S[5, 3, Infinity] + 
     20480*S[-5, -1, -1, -1, Infinity] + 42240*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/672 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (265*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/20 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + (S[-5, -1, Infinity] - 
       336*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-3, -1, -2, -1, -1, Infinity] -> (709*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 - (29531*S[2, Infinity]^4)/39200 + 
   ((17*S[-1, Infinity]^2)/28 - (135*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-403*S[-1, Infinity]^3)/48 + (10071*S[-1, Infinity]*S[2, Infinity])/
      448 + (1865*S[3, Infinity])/28)*S[5, Infinity] + 
   (12605*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (193*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(41*S[-5, 1, 1, Infinity] - 57*S[5, -1, -1, Infinity]))/
    14 + (128448*S[-7, -1, Infinity] + 26291*S[5, 3, Infinity] + 
     19456*S[-5, -1, -1, -1, Infinity] + 16384*S[-5, -1, 1, 1, Infinity])/
    896 + S[2, Infinity]^2*((-337*S[-1, Infinity]^4)/560 - 
     (249*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-1157*S[-1, Infinity]^5)/3360 + (353*S[-1, Infinity]^3*S[2, Infinity])/
      112 + (1301*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (228*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 24*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-487*S[-5, -1, Infinity] + 
       168*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-3, -2, 1, 1, 1, Infinity] -> S[-1, Infinity]^8/576 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (112507*S[2, Infinity]^4)/
    84000 - (51*S[2, Infinity]*S[3, Infinity]^2)/128 - 
   (597*S[3, Infinity]*S[5, Infinity])/128 + S[2, Infinity]^2*
    ((7*S[-1, Infinity]^4)/120 + S[-1, 1, 1, 1, Infinity]/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/48 + 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2) + 
   (-229*S[5, 3, Infinity] + 320*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/480 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/4), S[-3, -2, 1, 1, -1, Infinity] -> 
  (-1637*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (54907*S[2, Infinity]^4)/294000 + ((-3089*S[-1, Infinity]^2)/896 + 
     (6915*S[2, Infinity])/1792)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/64 - (2661*S[-1, Infinity]*S[2, Infinity])/224 - 
     (25155*S[3, Infinity])/1792)*S[5, Infinity] + 
   (3785*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (125*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] - 8*S[5, -1, -1, Infinity]))/
    14 + (-422400*S[-7, -1, Infinity] - 57613*S[5, 3, Infinity] - 
     24960*S[-5, -1, -1, -1, Infinity] - 64640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-649*S[-1, Infinity]^4)/6720 + 
     (369*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((649*S[-1, Infinity]^5)/3360 - 
     (185*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (23791*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (101*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 
     (279*S[-5, -1, Infinity] - 28*S[-1, 1, 1, 1, 1, 1, Infinity])/14), 
 S[-3, -2, 1, -1, 1, Infinity] -> (1189*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 - (415133*S[2, Infinity]^4)/588000 + 
   ((-1401*S[-1, Infinity]^2)/448 - (6217*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((217*S[-1, Infinity]^3)/64 + 
     (5605*S[-1, Infinity]*S[2, Infinity])/448 + (24377*S[3, Infinity])/1792)*
    S[5, Infinity] - (14023*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 6*S[5, -1, -1, Infinity]))/
    14 + (-2560*S[-7, -1, Infinity] + 8681*S[5, 3, Infinity] + 
     8320*S[-5, -1, -1, -1, Infinity] - 3840*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((29*S[-1, Infinity]^4)/420 + 
     (12*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/1680 + (22*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (2543*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/180 + 
     (101*S[-5, -1, Infinity] + 224*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-3, -2, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/192 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (564901*S[2, Infinity]^4)/
    588000 + ((-97*S[-1, Infinity]^2)/224 - (2783*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((18099*S[-1, Infinity]*S[2, Infinity])/448 + 
     (86299*S[3, Infinity])/3584)*S[5, Infinity] - 
   (201*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((653*S[-1, Infinity]^4)/1680 + 
     (41*S[-1, 1, 1, 1, Infinity])/35) + 
   (1056000*S[-7, -1, Infinity] + 215919*S[5, 3, Infinity] + 
     212480*S[-5, -1, -1, -1, Infinity] + 56320*S[-5, -1, 1, 1, Infinity] + 
     53760*S[-1, 1, 1, 1, Infinity]^2)/17920 + 
   S[3, Infinity]*((-589*S[-1, Infinity]^5)/3360 + 
     (289*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (34891*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (589*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-23*S[-1, Infinity]^6)/240 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-75*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-3, -2, -1, 1, 1, Infinity] -> (5*S[-1, Infinity]^8)/576 + 
   (599*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (21262*S[2, Infinity]^4)/18375 + ((4887*S[-1, Infinity]^2)/896 + 
     (5869*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 - (523*S[-1, Infinity]*S[2, Infinity])/112 - 
     (14407*S[3, Infinity])/3584)*S[5, Infinity] - 
   (8285*S[-1, Infinity]*S[7, Infinity])/256 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(4*S[-5, 1, 1, Infinity] + 11*S[5, -1, -1, Infinity]))/
    2 - (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/140 + 
     (227*S[-1, 1, 1, 1, Infinity])/70) + 
   (-35320*S[-7, -1, Infinity] - 16127*S[5, 3, Infinity] - 
     17440*S[-5, -1, -1, -1, Infinity] + 6240*S[-5, -1, 1, 1, Infinity] + 
     11200*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-437*S[-1, Infinity]^5)/1120 + 
     (79*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (5249*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (35*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((-73*S[-1, Infinity]^6)/720 + 
     (5*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-95*S[-5, -1, Infinity] - 112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-3, -2, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/144 + 
   (171*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (1147*S[2, Infinity]^4)/672 + ((265*S[-1, Infinity]^2)/128 + 
     (91*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/192 - (1043*S[-1, Infinity]*S[2, Infinity])/
      128 - (1739*S[3, Infinity])/512)*S[5, Infinity] - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    (S[-1, Infinity]^4/6 - 4*S[-1, 1, 1, 1, Infinity]) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   (10624*S[-7, -1, Infinity] + 695*S[5, 3, Infinity] - 
     384*S[-5, -1, -1, -1, Infinity] + 2432*S[-5, -1, 1, 1, Infinity] - 
     1024*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/480 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (623*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (17*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*(S[-1, Infinity]^6/120 - (105*S[-5, -1, Infinity])/4 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, -2, -1, -1, 1, Infinity] -> S[-1, Infinity]^8/192 - 
   (1447*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 - 
   (938449*S[2, Infinity]^4)/470400 + 
   ((1395*S[-1, Infinity]^2)/896 + (9421*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/192 - 
     (15965*S[-1, Infinity]*S[2, Infinity])/448 - (13561*S[3, Infinity])/
      3584)*S[5, Infinity] + (155*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   S[2, Infinity]^2*((-517*S[-1, Infinity]^4)/1680 - 
     (4*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-126464*S[-7, -1, Infinity] - 26503*S[5, 3, Infinity] - 
     39680*S[-5, -1, -1, -1, Infinity] + 3840*S[-5, -1, 1, 1, Infinity] + 
     10752*S[-1, 1, 1, 1, Infinity]^2)/3584 + 
   S[3, Infinity]*((31*S[-1, Infinity]^5)/3360 - 
     (299*S[-1, Infinity]^3*S[2, Infinity])/168 - 
     (21919*S[-1, Infinity]*S[2, Infinity]^2)/2240 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*(31*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/14), 
 S[-3, -2, -1, -1, -1, Infinity] -> S[-1, Infinity]^8/72 - 
   (49*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (68429*S[2, Infinity]^4)/
    84000 + ((9*S[-1, Infinity]^2)/4 + (107*S[2, Infinity])/8)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/96 - 
     (1759*S[-1, Infinity]*S[2, Infinity])/64 - (365*S[3, Infinity])/16)*
    S[5, Infinity] - (193*S[-1, Infinity]*S[7, Infinity])/64 + 
   8*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (5*S[-1, Infinity]*S[5, -1, -1, Infinity])/2 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-33*S[-1, Infinity]^4)/80 + 
     (59*S[-1, 1, 1, 1, Infinity])/10) + 
   (-23040*S[-7, -1, Infinity] - 5687*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/240 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (175*S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     6*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/180 - 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (45*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/2), 
 S[-4, 1, 1, 1, 1, Infinity] -> (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (1191*S[2, Infinity]^4)/28000 + ((15*S[-1, Infinity]^2)/16 + 
     (5*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 - (3*S[-1, Infinity]*S[2, Infinity])/2 - 
     (123*S[3, Infinity])/256)*S[5, Infinity] + 
   (1391*S[-1, Infinity]*S[7, Infinity])/256 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (3*S[-1, Infinity]*S[-5, 1, 1, Infinity])/2 + 
   (190*S[-7, -1, Infinity] + 19*S[5, 3, Infinity] + 
     30*S[-5, -1, 1, 1, Infinity])/20 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/80 - (3*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/40 + (S[-1, Infinity]^3*S[2, Infinity])/
      4 + (9*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-4, 1, 1, 1, -1, Infinity] -> 
  (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (55717*S[2, Infinity]^4)/
    56000 + ((-15*S[-1, Infinity]^2)/16 - (5*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/64 + 
     (99*S[-1, Infinity]*S[2, Infinity])/64 - (349*S[3, Infinity])/128)*
    S[5, Infinity] + (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/4 + 
   (-17920*S[-7, -1, Infinity] - 1799*S[5, 3, Infinity] - 
     3840*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    ((23*S[-1, Infinity]^4)/480 + (3*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/24 - (S[-1, Infinity]^3*S[2, Infinity])/
      6 - (7*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (-S[-1, Infinity]^6/360 + (35*S[-5, -1, Infinity] + 
       8*S[-1, 1, 1, 1, 1, 1, Infinity])/4), S[-4, 1, 1, -1, 1, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (47531*S[2, Infinity]^4)/28000 - 
   (51*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((31*S[-1, Infinity]^3)/64 + (93*S[-1, Infinity]*S[2, Infinity])/64 + 
     (2517*S[3, Infinity])/256)*S[5, Infinity] + 
   (22400*S[-7, -1, Infinity] + 2279*S[5, 3, Infinity] + 
     5120*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    ((-47*S[-1, Infinity]^4)/240 - (11*S[-1, 1, 1, 1, Infinity])/20) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/24 - (S[-1, Infinity]^3*S[2, Infinity])/
      12 + (7*S[-1, Infinity]*S[2, Infinity]^2)/4 + 
     5*S[-1, 1, 1, 1, 1, Infinity]) + S[2, Infinity]*
    (S[-1, Infinity]^6/120 - 7*S[-5, -1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, 1, Infinity]), S[-4, 1, 1, -1, -1, Infinity] -> 
  (81*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (25199*S[2, Infinity]^4)/
    392000 + ((15*S[-1, Infinity]^2)/32 - (2469*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 + 
     (503*S[-1, Infinity]*S[2, Infinity])/64 + (15339*S[3, Infinity])/896)*
    S[5, Infinity] + (63671*S[-1, Infinity]*S[7, Infinity])/3584 - 
   3*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]*(12*S[-5, 1, 1, Infinity] - 23*S[5, -1, -1, Infinity]))/
    14 + (3*(70960*S[-7, -1, Infinity] + 12443*S[5, 3, Infinity] + 
      6400*S[-5, -1, -1, -1, Infinity] + 9280*S[-5, -1, 1, 1, Infinity]))/
    4480 + S[2, Infinity]^2*((-619*S[-1, Infinity]^4)/2240 - 
     (383*S[-1, 1, 1, 1, Infinity])/280) + 
   S[3, Infinity]*((-131*S[-1, Infinity]^5)/3360 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (463*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (94*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/45 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, 1, Infinity] + (-1039*S[-5, -1, Infinity] + 
       112*S[-1, 1, 1, 1, 1, 1, Infinity])/56), 
 S[-4, 1, -1, 1, 1, Infinity] -> (149*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (637801*S[2, Infinity]^4)/392000 + 
   ((9*S[-1, Infinity]^2)/56 + (243*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-24*S[-1, Infinity]*S[2, Infinity])/7 - (3691*S[3, Infinity])/1792)*
    S[5, Infinity] + (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (-211200*S[-7, -1, Infinity] - 28467*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 34560*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((431*S[-1, Infinity]^4)/3360 + 
     (76*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/280 - (S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (501*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/120 + 
     (61*S[-5, -1, Infinity] + 42*S[-1, 1, 1, 1, 1, 1, Infinity])/7), 
 S[-4, 1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/192 - 
   (171*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (853767*S[2, Infinity]^4)/
    784000 + ((-2449*S[-1, Infinity]^2)/896 + (6145*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 - 
     (913*S[-1, Infinity]*S[2, Infinity])/224 - (1051*S[3, Infinity])/56)*
    S[5, Infinity] + (2681*S[-1, Infinity]*S[7, Infinity])/256 + 
   (109*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    2 + S[2, Infinity]^2*((-25*S[-1, Infinity]^4)/672 - 
     (31*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (-359680*S[-7, -1, Infinity] - 59447*S[5, 3, Infinity] - 
     24960*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((211*S[-1, Infinity]^5)/672 - 
     (761*S[-1, Infinity]^3*S[2, Infinity])/336 - 
     (281*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (80*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*((29*S[-1, Infinity]^6)/360 - 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (4*(41*S[-5, -1, Infinity] - 
        7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-4, 1, -1, -1, 1, Infinity] -> (-5*S[-1, Infinity]^8)/576 - 
   (441*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (701037*S[2, Infinity]^4)/
    784000 + ((-1025*S[-1, Infinity]^2)/224 + (21823*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 - 
     (14327*S[-1, Infinity]*S[2, Infinity])/448 - (154073*S[3, Infinity])/
      3584)*S[5, Infinity] + (11449*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (137*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-54*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    14 + S[2, Infinity]^2*((127*S[-1, Infinity]^4)/336 - 
     (43*S[-1, 1, 1, 1, Infinity])/14) + 
   (5*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/12 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (841*S[-5, -1, Infinity])/28 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-687040*S[-7, -1, Infinity] - 145007*S[5, 3, Infinity] - 
     83840*S[-5, -1, -1, -1, Infinity] - 90880*S[-5, -1, 1, 1, Infinity] - 
     44800*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((1667*S[-1, Infinity]^5)/3360 - 
     (341*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (9881*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (687*S[-1, 1, 1, 1, 1, Infinity])/28), S[-4, 1, -1, -1, -1, Infinity] -> 
  (-165*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (259107*S[2, Infinity]^4)/
    392000 + ((-275*S[-1, Infinity]^2)/896 + (5727*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-17763*S[-1, Infinity]*S[2, Infinity])/896 - 
     (69935*S[3, Infinity])/3584)*S[5, Infinity] + 
   (111*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 + 
   (-454400*S[-7, -1, Infinity] - 85709*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((173*S[-1, Infinity]^4)/224 - 
     (2*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((25*S[-1, Infinity]^5)/224 - (13*S[-1, Infinity]^3*S[2, Infinity])/112 - 
     (4299*S[-1, Infinity]*S[2, Infinity]^2)/448 - 
     (375*S[-1, 1, 1, 1, 1, Infinity])/28) + 
   S[2, Infinity]*((-37*S[-1, Infinity]^6)/360 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, 
       Infinity] + (141*S[-5, -1, Infinity] + 
       14*S[-1, 1, 1, 1, 1, 1, Infinity])/7), S[-4, -1, 1, 1, 1, Infinity] -> 
  (-163*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (396553*S[2, Infinity]^4)/392000 + 
   ((-9*S[-1, Infinity]^2)/56 - (13*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((24*S[-1, Infinity]*S[2, Infinity])/7 + (7149*S[3, Infinity])/1792)*
    S[5, Infinity] - (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (155200*S[-7, -1, Infinity] + 21481*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 12160*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/140 - 
     (269*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/70 + (S[-1, Infinity]^3*S[2, Infinity])/
      7 + (177*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 
     (-167*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity])/28), 
 S[-4, -1, 1, 1, -1, Infinity] -> S[-1, Infinity]^8/192 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/160 + (169167*S[2, Infinity]^4)/
    112000 + ((481*S[-1, Infinity]^2)/128 + (829*S[2, Infinity])/256)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/64 + 
     (71*S[-1, Infinity]*S[2, Infinity])/64 - (2749*S[3, Infinity])/256)*
    S[5, Infinity] - (2439*S[-1, Infinity]*S[7, Infinity])/256 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/4 - 
   (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 8*S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/320 + 
     (99*S[-1, 1, 1, 1, Infinity])/40) + 
   (1120*S[-7, -1, Infinity] - 3907*S[5, 3, Infinity] - 
     5760*S[-5, -1, -1, -1, Infinity] + 1920*S[-5, -1, 1, 1, Infinity] + 
     3840*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/80 + 
     (91*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (343*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]/
      2) + S[2, Infinity]*(-S[-1, Infinity]^6/10 - (3*S[-5, -1, Infinity])/
      4 + 3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity] - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-4, -1, 1, -1, 1, Infinity] -> S[-1, Infinity]^8/288 + 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + (174281*S[2, Infinity]^4)/
    78400 + ((-25*S[-1, Infinity]^2)/14 + (899*S[2, Infinity])/1792)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/64 + 
     (3349*S[-1, Infinity]*S[2, Infinity])/448 - (3189*S[3, Infinity])/448)*
    S[5, Infinity] + (1299*S[-1, Infinity]*S[7, Infinity])/224 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-12*S[-5, 1, 1, Infinity] + 23*S[5, -1, -1, Infinity]))/
    14 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-313*S[-1, Infinity]^4)/1680 + 
     (69*S[-1, 1, 1, 1, Infinity])/35) + 
   (8832*S[-7, -1, Infinity] + 853*S[5, 3, Infinity] + 
     1536*S[-5, -1, -1, -1, Infinity] - 1536*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-61*S[-1, Infinity]^5)/1120 - 
     (41*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (487*S[-1, Infinity]*S[2, Infinity]^2)/2240 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 - 
     (31*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*((11*S[-1, Infinity]^6)/720 - 
     (S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     (2*(S[-5, -1, Infinity] - 14*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-4, -1, 1, -1, -1, Infinity] -> S[-1, Infinity]^8/192 + 
   (621*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (621353*S[2, Infinity]^4)/784000 + 
   ((-1135*S[-1, Infinity]^2)/896 - (7115*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((2595*S[-1, Infinity]*S[2, Infinity])/112 + 
     (32351*S[3, Infinity])/1792)*S[5, Infinity] - 
   (22*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/42 + 
     (17*S[-1, 1, 1, 1, Infinity])/28) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (276800*S[-7, -1, Infinity] + 63563*S[5, 3, Infinity] + 
     42880*S[-5, -1, -1, -1, Infinity] + 24320*S[-5, -1, 1, 1, Infinity] + 
     26880*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/336 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/336 + 
     (1153*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (125*S[-1, 1, 1, 1, 1, Infinity])/14) + 
   S[2, Infinity]*(S[-1, Infinity]^6/48 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (3*(-53*S[-5, -1, Infinity] - 56*S[-1, 1, 1, 1, 1, 1, Infinity]))/28), 
 S[-4, -1, -1, 1, 1, Infinity] -> S[-1, Infinity]^8/192 + 
   (6007*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (1881*S[2, Infinity]^4)/1120 + ((29*S[-1, Infinity]^2)/32 - 
     (1713*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 + (1215*S[-1, Infinity]*S[2, Infinity])/32 + 
     (12397*S[3, Infinity])/512)*S[5, Infinity] + 
   (6703*S[-1, Infinity]*S[7, Infinity])/512 - 10*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - (S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 
      2*S[5, -1, -1, Infinity]))/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/16 + 2*S[-1, 1, 1, 1, Infinity]) + 
   (20832*S[-7, -1, Infinity] + 4397*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] + 1664*S[-5, -1, 1, 1, Infinity] + 
     768*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((-17*S[-1, Infinity]^5)/48 + 
     (137*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (4997*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/4 + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((-43*S[-1, Infinity]^6)/720 + 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 + 
     (-179*S[-5, -1, Infinity] - 16*S[-1, 1, 1, 1, 1, 1, Infinity])/8), 
 S[-4, -1, -1, 1, -1, Infinity] -> -S[-1, Infinity]^8/192 + 
   (4453*S[-1, Infinity]^2*S[2, Infinity]^3)/1120 + 
   (76*S[2, Infinity]^4)/175 + ((-53*S[-1, Infinity]^2)/32 - 
     (627*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/192 + (3431*S[-1, Infinity]*S[2, Infinity])/128 + 
     (11145*S[3, Infinity])/512)*S[5, Infinity] - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/8 - (3*S[-1, 1, 1, 1, Infinity])/
      4) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/4 + 
   (3712*S[-7, -1, Infinity] + 821*S[5, 3, Infinity] + 
     544*S[-5, -1, -1, -1, Infinity] + 384*S[-5, -1, 1, 1, Infinity] - 
     192*S[-1, 1, 1, 1, Infinity]^2)/64 + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/480 + (23*S[-1, Infinity]^3*S[2, Infinity])/48 + 
     (2597*S[-1, Infinity]*S[2, Infinity]^2)/320 + 
     (23*S[-1, 1, 1, 1, 1, Infinity])/4) + 
   S[2, Infinity]*((19*S[-1, Infinity]^6)/240 - 
     (3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, 1, Infinity] + 
     (-89*S[-5, -1, Infinity] + 24*S[-1, 1, 1, 1, 1, 1, Infinity])/4), 
 S[-4, -1, -1, -1, 1, Infinity] -> (491*S[-1, Infinity]^2*S[2, Infinity]^3)/
    224 + (94847*S[2, Infinity]^4)/784000 + 
   ((-207*S[-1, Infinity]^2)/224 - (1517*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/192 + 
     (9917*S[-1, Infinity]*S[2, Infinity])/448 + (27819*S[3, Infinity])/1792)*
    S[5, Infinity] - (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (393440*S[-7, -1, Infinity] + 67843*S[5, 3, Infinity] + 
     58880*S[-5, -1, -1, -1, Infinity] + 26240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-793*S[-1, Infinity]^4)/3360 - 
     (41*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-31*S[-1, Infinity]^5)/420 + (437*S[-1, Infinity]^3*S[2, Infinity])/
      336 + (3833*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (62*S[-1, 1, 1, 1, 1, Infinity])/7) + 
   S[2, Infinity]*(S[-1, Infinity]^6/360 + 
     (2*(-45*S[-5, -1, Infinity] - 7*S[-1, 1, 1, 1, 1, 1, Infinity]))/7), 
 S[-4, -1, -1, -1, -1, Infinity] -> (461*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (947621*S[2, Infinity]^4)/392000 + 
   ((-191*S[-1, Infinity]^2)/112 - (2573*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (839*S[-1, Infinity]*S[2, Infinity])/28 + (11325*S[3, Infinity])/896)*
    S[5, Infinity] + (6709*S[-1, Infinity]*S[7, Infinity])/224 - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (128*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - 37*S[5, -1, -1, Infinity]))/
    14 + (165600*S[-7, -1, Infinity] + 31637*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/140 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/35 + (45*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (10613*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[5, 1, 1, 1, Infinity] -> 
  (-167*S[2, Infinity]^4)/1000 - S[2, Infinity]*S[3, Infinity]^2 + 
   (7*S[3, Infinity]*S[5, Infinity])/2 + (3*S[5, 3, Infinity])/10, 
 S[5, 1, 1, -1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (24041*S[2, Infinity]^4)/28000 + ((71*S[-1, Infinity]^2)/64 - 
     (101*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 + (191*S[-1, Infinity]*S[2, Infinity])/32 + 
     (563*S[3, Infinity])/256)*S[5, Infinity] + 
   (887*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (16000*S[-7, -1, Infinity] + 2421*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(-S[-1, Infinity]^4/160 + 
     (3*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/240 + (7*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (357*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2), S[5, 1, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (29*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (717*S[2, Infinity]^4)/14000 + ((-91*S[-1, Infinity]^2)/32 + 
     (75*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/32 - (285*S[-1, Infinity]*S[2, Infinity])/32 - 
     (2651*S[3, Infinity])/256)*S[5, Infinity] + 
   (1657*S[-1, Infinity]*S[7, Infinity])/128 + 
   (7*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(-2*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/240 - 
     (11*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 6*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-8640*S[-7, -1, Infinity] - 1743*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((49*S[-1, Infinity]^5)/240 - 
     (35*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (463*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     7*S[-1, 1, 1, 1, 1, Infinity]), S[5, 1, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (17*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (1873*S[2, Infinity]^4)/14000 + ((-5*S[-1, Infinity]^2)/8 - 
     (105*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((87*S[-1, Infinity]*S[2, Infinity])/64 + (1665*S[3, Infinity])/256)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/120 + (8*S[-1, 1, 1, 1, Infinity])/
      5) + S[2, Infinity]*(-S[-1, Infinity]^6/24 + 2*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-800*S[-7, -1, Infinity] + 79*S[5, 3, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/
      6 + (61*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[5, -1, 1, 1, Infinity] -> 
  S[-1, Infinity]^8/288 + S[-1, Infinity]^2*S[2, Infinity]^3 + 
   (59291*S[2, Infinity]^4)/56000 + ((71*S[-1, Infinity]^2)/64 + 
     S[2, Infinity]/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/24 + (79*S[-1, Infinity]*S[2, Infinity])/16 - 
     (921*S[3, Infinity])/256)*S[5, Infinity] + 
   (121*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 2*S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/480 + 
     (23*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 - (3*S[-5, -1, Infinity])/4 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (4480*S[-7, -1, Infinity] + 549*S[5, 3, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/120 + S[-1, Infinity]^3*
      S[2, Infinity] + (49*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[5, -1, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 + (19*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - 
   (91*S[2, Infinity]^4)/1600 + (69*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 + ((-27*S[-1, Infinity]^2)/64 - 
     (215*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 + (595*S[-1, Infinity]*S[2, Infinity])/64 + 
     (1225*S[3, Infinity])/256)*S[5, Infinity] - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/120 - 
     (4*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (11*S[-5, -1, Infinity])/2 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1152*S[-7, -1, Infinity] + 245*S[5, 3, Infinity] + 
     128*S[-5, -1, -1, -1, Infinity] + 128*S[-5, -1, 1, 1, Infinity] - 
     128*S[-1, 1, 1, 1, Infinity]^2)/64, S[5, -1, -1, 1, Infinity] -> 
  (-27*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (22193*S[2, Infinity]^4)/
    56000 - (33*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/32 + 
   ((9*S[-1, Infinity]^2)/64 + (31*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/96 - (65*S[-1, Infinity]*S[2, Infinity])/32 - 
     (19*S[3, Infinity])/256)*S[5, Infinity] + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-2560*S[-7, -1, Infinity] - 939*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(S[-1, Infinity]^4/24 - 
     S[-1, 1, 1, 1, Infinity]), S[5, -1, -1, -1, Infinity] -> 
  (192817*S[2, Infinity]^4)/112000 + (41*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/160 - (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-31*S[-1, Infinity]^3)/48 + S[-1, Infinity]*S[2, Infinity] - 
     (889*S[3, Infinity])/128)*S[5, Infinity] + 
   (2415*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*(2240*S[-7, -1, Infinity] + 183*S[5, 3, Infinity]))/640 + 
   S[-1, Infinity]*S[5, -1, -1, Infinity], S[4, 2, 1, 1, Infinity] -> 
  (15517*S[2, Infinity]^4)/21000 + 2*S[2, Infinity]*S[3, Infinity]^2 - 
   7*S[3, Infinity]*S[5, Infinity] - (3*S[5, 3, Infinity])/10, 
 S[4, 2, 1, -1, Infinity] -> (-117*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (3423139*S[2, Infinity]^4)/1176000 + 
   ((-593*S[-1, Infinity]^2)/224 + (7475*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (1371*S[-1, Infinity]*S[2, Infinity])/56 - (6071*S[3, Infinity])/448)*
    S[5, Infinity] - (45545*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (423*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (4*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 + (-544640*S[-7, -1, Infinity] - 92679*S[5, 3, Infinity] - 
     58880*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((163*S[-1, Infinity]^4)/3360 - 
     (163*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((97*S[-1, Infinity]^5)/840 - 
     (97*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (11029*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (97*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, 2, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (149*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (2155147*S[2, Infinity]^4)/1176000 + 
   ((809*S[-1, Infinity]^2)/224 + (729*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 + 
     (165*S[-1, Infinity]*S[2, Infinity])/14 + (9307*S[3, Infinity])/896)*
    S[5, Infinity] - (43149*S[-1, Infinity]*S[7, Infinity])/896 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((57*S[-1, Infinity]^4)/280 + 
     (39*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (45*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-96000*S[-7, -1, Infinity] - 20147*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-143*S[-1, Infinity]^5)/420 + 
     (47*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (5137*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (41*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, 2, -1, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 + (711*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (154499*S[2, Infinity]^4)/235200 + 
   ((23*S[-1, Infinity]^2)/28 - (841*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((6819*S[-1, Infinity]*S[2, Infinity])/448 + (3841*S[3, Infinity])/896)*
    S[5, Infinity] - (34*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/420 - 
     (128*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (151*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (89344*S[-7, -1, Infinity] + 13809*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 11264*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((-4*S[-1, Infinity]^5)/105 + 
     (8*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (3113*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, 1, 2, 1, Infinity] -> 
  (-21347*S[2, Infinity]^4)/21000 - (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   7*S[3, Infinity]*S[5, Infinity] + (33*S[5, 3, Infinity])/10, 
 S[4, 1, 2, -1, Infinity] -> (47*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (153253*S[2, Infinity]^4)/235200 + 
   ((-7*S[-1, Infinity]^2)/4 - (943*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity])/4 + (1093*S[3, Infinity])/448)*
    S[5, Infinity] + (4969*S[-1, Infinity]*S[7, Infinity])/448 + 
   (57*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-7808*S[-7, -1, Infinity] + 4013*S[5, 3, Infinity] + 
     4096*S[-5, -1, -1, -1, Infinity] - 4096*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-379*S[-1, Infinity]^4)/3360 + 
     (379*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((4*S[-1, Infinity]^5)/105 - 
     (8*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (S[-1, Infinity]*S[2, Infinity]^2)/16 - (32*S[-1, 1, 1, 1, 1, Infinity])/
      7), S[4, 1, 1, 2, Infinity] -> (1091*S[2, Infinity]^4)/600 + 
   (5*S[2, Infinity]*S[3, Infinity]^2)/2 - 12*S[3, Infinity]*S[5, Infinity] - 
   3*S[5, 3, Infinity], S[4, 1, 1, -2, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (17167*S[2, Infinity]^4)/
    10500 - (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/32 + 
   (25*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   (631*S[3, Infinity]*S[5, Infinity])/128 - 
   (3429*S[-1, Infinity]*S[7, Infinity])/256 + 
   (-1080*S[-7, -1, Infinity] - 89*S[5, 3, Infinity])/160 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/32 - (3*S[-1, 1, 1, 1, Infinity])/4), 
 S[4, 1, -1, 2, Infinity] -> S[-1, Infinity]^8/144 + 
   (3299*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (146983*S[2, Infinity]^4)/168000 + 
   ((1845*S[-1, Infinity]^2)/224 - (191*S[2, Infinity])/16)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (13603*S[-1, Infinity]*S[2, Infinity])/448 + (10843*S[3, Infinity])/256)*
    S[5, Infinity] - (4295*S[-1, Infinity]*S[7, Infinity])/896 - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/96 + (5*S[-1, 1, 1, 1, Infinity])/
      4) + S[2, Infinity]*(-S[-1, Infinity]^6/12 - 40*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (124800*S[-7, -1, Infinity] + 21267*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 17920*S[-5, -1, 1, 1, Infinity] + 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/20 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (24611*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     31*S[-1, 1, 1, 1, 1, Infinity]), S[4, 1, -1, -2, Infinity] -> 
  (257*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (16979*S[2, Infinity]^4)/117600 + 
   ((-9*S[-1, Infinity]^2)/56 + (141*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((117*S[-1, Infinity]*S[2, Infinity])/224 + (1443*S[3, Infinity])/896)*
    S[5, Infinity] - (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (12*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (3712*S[-7, -1, Infinity] + 4229*S[5, 3, Infinity] + 
     2048*S[-5, -1, -1, -1, Infinity] - 2048*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-41*S[-1, Infinity]^4)/1120 + 
     (123*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/70 + (S[-1, Infinity]^3*S[2, Infinity])/
      7 + (249*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, 1, -2, 1, Infinity] -> 
  (-6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (11141*S[2, Infinity]^4)/
    36750 + ((-5*S[-1, Infinity]^2)/7 - (89*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((S[-1, Infinity]*S[2, Infinity])/14 + 
     (1955*S[3, Infinity])/1792)*S[5, Infinity] + 
   (131*S[-1, Infinity]*S[7, Infinity])/112 + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (16*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-30720*S[-7, -1, Infinity] + 3813*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(-S[-1, Infinity]^4/105 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/105 - (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, 1, -2, -1, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (891641*S[2, Infinity]^4)/
    1176000 + ((29*S[-1, Infinity]^2)/28 + (1049*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-579*S[-1, Infinity]*S[2, Infinity])/224 - 
     (12217*S[3, Infinity])/1792)*S[5, Infinity] + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (23*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (53120*S[-7, -1, Infinity] - 13459*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/105 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/105 + (4*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (1643*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, -1, 2, 1, Infinity] -> 
  -S[-1, Infinity]^8/144 + (533*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2563597*S[2, Infinity]^4)/1176000 + 
   ((59*S[-1, Infinity]^2)/28 - (6821*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/2 + (223*S[-1, Infinity]*S[2, Infinity])/28 + 
     (68041*S[3, Infinity])/1792)*S[5, Infinity] + 
   (5731*S[-1, Infinity]*S[7, Infinity])/128 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/672 - 
     (155*S[-1, 1, 1, 1, Infinity])/28) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (453*S[-5, -1, Infinity])/14 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (786560*S[-7, -1, Infinity] + 164653*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] + 84480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/840 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (255*S[-1, Infinity]*S[2, Infinity]^2)/28 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (132*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[4, -1, 2, -1, Infinity] -> S[-1, Infinity]^8/144 - 
   (341*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (83599*S[2, Infinity]^4)/33600 + 
   ((9*S[-1, Infinity]^2)/16 + (53*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-2145*S[-1, Infinity]*S[2, Infinity])/64 - (1807*S[3, Infinity])/64)*
    S[5, Infinity] + 9*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 + (26*S[-1, 1, 1, 1, Infinity])/
      5) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + 40*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-24704*S[-7, -1, Infinity] - 4401*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 3584*S[-5, -1, 1, 1, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*(S[-1, Infinity]^5/10 - S[-1, Infinity]^3*S[2, Infinity] - 
     (873*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[4, -1, 1, 2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (353*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (392711*S[2, Infinity]^4)/235200 + 
   ((-1061*S[-1, Infinity]^2)/224 + (13649*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (15003*S[-1, Infinity]*S[2, Infinity])/448 - (25785*S[3, Infinity])/896)*
    S[5, Infinity] - (13569*S[-1, Infinity]*S[7, Infinity])/448 + 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-71*S[-1, Infinity]^4)/280 + 
     (3*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (913*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-188672*S[-7, -1, Infinity] - 37391*S[5, 3, Infinity] - 
     26112*S[-5, -1, -1, -1, Infinity] - 16896*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((199*S[-1, Infinity]^5)/420 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (20271*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, -1, 1, -2, Infinity] -> 
  (-257*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (611203*S[2, Infinity]^4)/1176000 + 
   ((9*S[-1, Infinity]^2)/56 + (187*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-1853*S[-1, Infinity]*S[2, Infinity])/224 - (249*S[3, Infinity])/56)*
    S[5, Infinity] + (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (-63360*S[-7, -1, Infinity] - 13263*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((41*S[-1, Infinity]^4)/1120 - 
     (123*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(S[-1, Infinity]^5/70 - (S[-1, Infinity]^3*S[2, Infinity])/
      7 - (1521*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, -1, -1, 2, Infinity] -> 
  (-83*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (347471*S[2, Infinity]^4)/
    588000 + ((9*S[-1, Infinity]^2)/28 + (677*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-48*S[-1, Infinity]*S[2, Infinity])/7 - 
     (5863*S[3, Infinity])/1792)*S[5, Infinity] + 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (41*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (-117760*S[-7, -1, Infinity] - 37607*S[5, 3, Infinity] - 
     20480*S[-5, -1, -1, -1, Infinity] + 20480*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((2*S[-1, Infinity]^4)/105 - 
     (16*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/35 - (2*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (3987*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, -1, -1, -2, Infinity] -> 
  (-579*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (7374701*S[2, Infinity]^4)/
    2352000 + ((-207*S[-1, Infinity]^2)/112 + (29035*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (1829*S[-1, Infinity]*S[2, Infinity])/28 - (52819*S[3, Infinity])/896)*
    S[5, Infinity] - (71073*S[-1, Infinity]*S[7, Infinity])/896 + 
   (150*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (1571*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-888320*S[-7, -1, Infinity] - 182899*S[5, 3, Infinity] - 
     145920*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/70 + 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/140 - (43*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (8081*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (258*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, -1, -2, 1, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/2 - (15859*S[2, Infinity]^4)/168000 - 
   (15*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (19*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (49*S[3, Infinity]*S[5, Infinity])/32 + 5*S[2, Infinity]*
    S[-5, -1, Infinity] + (-250*S[-7, -1, Infinity] + 13*S[5, 3, Infinity])/
    40 + S[2, Infinity]^2*(S[-1, Infinity]^4/12 - 
     2*S[-1, 1, 1, 1, Infinity]), S[4, -1, -2, -1, Infinity] -> 
  (373*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (7347293*S[2, Infinity]^4)/
    2352000 + ((47*S[-1, Infinity]^2)/112 - (14199*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (22825*S[-1, Infinity]*S[2, Infinity])/448 + (37557*S[3, Infinity])/448)*
    S[5, Infinity] + (637*S[-1, Infinity]*S[7, Infinity])/16 - 
   (142*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (398*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]) + 
   (187920*S[-7, -1, Infinity] + 42937*S[5, 3, Infinity] + 
     36480*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((461*S[-1, Infinity]^4)/1680 - 
     (461*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/168 + (51*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (7401*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (300*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, -2, 1, 1, Infinity] -> 
  (-111*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (298999*S[2, Infinity]^4)/1176000 + 
   ((-45*S[-1, Infinity]^2)/28 + (785*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 + (219*S[-1, Infinity]*S[2, Infinity])/56 - 
     (993*S[3, Infinity])/1792)*S[5, Infinity] - 
   (16367*S[-1, Infinity]*S[7, Infinity])/896 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (64*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + (-199040*S[-7, -1, Infinity] - 31529*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/1120 + 
     (177*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/70 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (367*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, -2, 1, -1, Infinity] -> 
  (1031*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (642227*S[2, Infinity]^4)/588000 + 
   ((261*S[-1, Infinity]^2)/224 - (275*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 + 
     (613*S[-1, Infinity]*S[2, Infinity])/224 + (9691*S[3, Infinity])/1792)*
    S[5, Infinity] - (20*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (295*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (334720*S[-7, -1, Infinity] + 43621*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] + 56320*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((11*S[-1, Infinity]^4)/210 - 
     (44*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/14 + (5*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (891*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (60*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, -2, -1, 1, Infinity] -> 
  (-79*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + (1472153*S[2, Infinity]^4)/
    1176000 + ((9*S[-1, Infinity]^2)/224 + (339*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 - 
     (265*S[-1, Infinity]*S[2, Infinity])/56 - (7891*S[3, Infinity])/896)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (97*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (-71200*S[-7, -1, Infinity] + 989*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 16640*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-4*S[-1, Infinity]^4)/35 + 
     (96*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/35 - (2*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (261*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7), S[4, -2, -1, -1, Infinity] -> 
  (-293*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (1992029*S[2, Infinity]^4)/2352000 + 
   ((331*S[-1, Infinity]^2)/112 + (4887*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (9945*S[-1, Infinity]*S[2, Infinity])/448 - (8473*S[3, Infinity])/448)*
    S[5, Infinity] - (32219*S[-1, Infinity]*S[7, Infinity])/896 + 
   (30*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (249*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (4*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    7 + (-76080*S[-7, -1, Infinity] - 14289*S[5, 3, Infinity] - 
     12160*S[-5, -1, -1, -1, Infinity] - 5760*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((-317*S[-1, Infinity]^4)/1680 + 
     (317*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-131*S[-1, Infinity]^5)/840 + (11*S[-1, Infinity]^3*S[2, Infinity])/
      28 - (177*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (114*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 3, 1, 1, Infinity] -> 
  (17533*S[2, Infinity]^4)/21000 + (3*S[2, Infinity]*S[3, Infinity]^2)/2 - 
   (9*S[3, Infinity]*S[5, Infinity])/2 - (27*S[5, 3, Infinity])/10, 
 S[3, 3, 1, -1, Infinity] -> (223*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (1248173*S[2, Infinity]^4)/1176000 + 
   ((1415*S[-1, Infinity]^2)/448 - (75*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/16 + (191*S[-1, Infinity]*S[2, Infinity])/7 + 
     (16025*S[3, Infinity])/896)*S[5, Infinity] + 
   (9517*S[-1, Infinity]*S[7, Infinity])/448 - 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (719*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(25*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + (709120*S[-7, -1, Infinity] + 119983*S[5, 3, Infinity] + 
     83200*S[-5, -1, -1, -1, Infinity] + 78080*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((209*S[-1, Infinity]^4)/3360 - 
     (209*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/42 + 
     (57*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (12193*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (195*S[-1, 1, 1, 1, 1, Infinity])/14), S[3, 3, -1, 1, Infinity] -> 
  (-179*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (2839*S[2, Infinity]^4)/48000 + ((1279*S[-1, Infinity]^2)/448 + 
     (27*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/16 - (1149*S[-1, Infinity]*S[2, Infinity])/112 + 
     (1311*S[3, Infinity])/256)*S[5, Infinity] + 
   (4321*S[-1, Infinity]*S[7, Infinity])/224 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (5*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (9*(320*S[-7, -1, Infinity] + 63*S[5, 3, Infinity]))/640 - 
   (6*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*(S[-1, Infinity]^4/96 - S[-1, 1, 1, 1, Infinity]/
      4) + S[3, Infinity]*((7*S[-1, Infinity]^5)/80 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (1297*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     7*S[-1, 1, 1, 1, 1, Infinity]), S[3, 3, -1, -1, Infinity] -> 
  (-583*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (413267*S[2, Infinity]^4)/294000 + 
   ((53*S[-1, Infinity]^2)/56 + (719*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-13551*S[-1, Infinity]*S[2, Infinity])/448 - (30879*S[3, Infinity])/896)*
    S[5, Infinity] + (107*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (199*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-668800*S[-7, -1, Infinity] - 136237*S[5, 3, Infinity] - 
     83200*S[-5, -1, -1, -1, Infinity] - 78080*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/840 + 
     (61*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((61*S[-1, Infinity]^5)/420 - (61*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (3109*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (122*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 2, 2, 1, Infinity] -> 
  (-4121*S[2, Infinity]^4)/7000 + 6*S[3, Infinity]*S[5, Infinity] - 
   (9*S[5, 3, Infinity])/5, S[3, 2, 2, -1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (1652967*S[2, Infinity]^4)/
    784000 + ((35*S[-1, Infinity]^2)/16 + (445*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((55*S[-1, Infinity]*S[2, Infinity])/8 + 
     (4159*S[3, Infinity])/896)*S[5, Infinity] + 
   (3603*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (26*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (83200*S[-7, -1, Infinity] - 5531*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/112 - 
     (15*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((107*S[-1, Infinity]^5)/840 - (3*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (38*S[-1, Infinity]*S[2, Infinity]^2)/5 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (138*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[3, 2, 1, 2, Infinity] -> (-9713*S[2, Infinity]^4)/3000 - 
   6*S[2, Infinity]*S[3, Infinity]^2 + 27*S[3, Infinity]*S[5, Infinity] + 
   (27*S[5, 3, Infinity])/5, S[3, 2, 1, -2, Infinity] -> 
  (211553*S[2, Infinity]^4)/67200 - (5*S[2, Infinity]*S[3, Infinity]^2)/64 - 
   (3879*S[3, Infinity]*S[5, Infinity])/256 + 
   (127*S[-1, Infinity]*S[7, Infinity])/4 + 
   (256*S[-7, -1, Infinity] + 15*S[5, 3, Infinity])/16, 
 S[3, 2, -1, 2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (583*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1244141*S[2, Infinity]^4)/470400 + 
   ((-75*S[-1, Infinity]^2)/8 - (2529*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-409*S[-1, Infinity]*S[2, Infinity])/64 - (35149*S[3, Infinity])/896)*
    S[5, Infinity] + (28925*S[-1, Infinity]*S[7, Infinity])/448 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (48*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-211*S[-1, Infinity]^4)/560 - 
     (207*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 + (125*S[-5, -1, Infinity])/14 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (2624*S[-7, -1, Infinity] + 2341*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/70 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (297*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (276*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 2, -1, -2, Infinity] -> 
  (-13*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (39481*S[2, Infinity]^4)/
    67200 + (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/8 - 
   (99*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((217*S[-1, Infinity]*S[2, Infinity])/32 + (151*S[3, Infinity])/16)*
    S[5, Infinity] + S[2, Infinity]*S[-5, -1, Infinity] + 
   (1984*S[-7, -1, Infinity] + 291*S[5, 3, Infinity])/256 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/240 - 
     (13*S[-1, 1, 1, 1, Infinity])/10), S[3, 2, -2, 1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (451*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1009311*S[2, Infinity]^4)/392000 + 
   ((-433*S[-1, Infinity]^2)/56 - (33*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((9*S[-1, Infinity]*S[2, Infinity])/56 - (21531*S[3, Infinity])/1792)*
    S[5, Infinity] + (37029*S[-1, Infinity]*S[7, Infinity])/896 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-113*S[-1, Infinity]^4)/1680 - 
     (307*S[-1, 1, 1, 1, Infinity])/70) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (36*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (105600*S[-7, -1, Infinity] + 15203*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((159*S[-1, Infinity]^5)/280 - 
     (281*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (389*S[-1, Infinity]*S[2, Infinity]^2)/70 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (13*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[3, 2, -2, -1, Infinity] -> S[-1, Infinity]^8/144 + 
   (89*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (3121*S[2, Infinity]^4)/1568 + ((-61*S[-1, Infinity]^2)/14 - 
     (233*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((261*S[-1, Infinity]*S[2, Infinity])/56 + (5445*S[3, Infinity])/224)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/210 + 
     (94*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + (48*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-5616*S[-7, -1, Infinity] + 1679*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] + 
     1792*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*(S[-1, Infinity]^5/42 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (293*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, 1, 3, 1, Infinity] -> 
  (53*S[2, Infinity]^4)/280, S[3, 1, 3, -1, Infinity] -> 
  (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (137*S[2, Infinity]^4)/4480 + 
   ((-5*S[-1, Infinity]^2)/4 + (17*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-47*S[-1, Infinity]*S[2, Infinity])/16 - (875*S[3, Infinity])/256)*
    S[5, Infinity] + (639*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 - S[-1, Infinity]*
    (-S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]) + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/240 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (151*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2), S[3, 1, 2, 2, Infinity] -> 
  (9901*S[2, Infinity]^4)/7000 + (9*S[2, Infinity]*S[3, Infinity]^2)/2 - 
   (27*S[3, Infinity]*S[5, Infinity])/2 - (27*S[5, 3, Infinity])/10, 
 S[3, 1, 2, -2, Infinity] -> (9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (377509*S[2, Infinity]^4)/112000 + 
   ((89*S[-1, Infinity]^2)/16 + (195*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity])/4 + (361*S[3, Infinity])/128)*
    S[5, Infinity] - (11589*S[-1, Infinity]*S[7, Infinity])/256 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 8*S[2, Infinity]*
    S[-5, -1, Infinity] - 4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + (-11200*S[-7, -1, Infinity] - 
     5411*S[5, 3, Infinity] - 5120*S[-5, -1, -1, -1, Infinity] + 
     5120*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    ((23*S[-1, Infinity]^4)/240 - (23*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/10 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/80 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, 1, 1, 3, Infinity] -> (-4117*S[2, Infinity]^4)/4200 - 
   2*S[2, Infinity]*S[3, Infinity]^2 + (19*S[3, Infinity]*S[5, Infinity])/2 + 
   (3*S[5, 3, Infinity])/2, S[3, 1, 1, -3, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (92681*S[2, Infinity]^4)/
    42000 + ((-89*S[-1, Infinity]^2)/32 - (243*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((S[-1, Infinity]*S[2, Infinity])/8 - 
     (1205*S[3, Infinity])/256)*S[5, Infinity] + 
   (3437*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[2, Infinity]*
    S[-5, -1, Infinity] + 2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + (8320*S[-7, -1, Infinity] + 
     2549*S[5, 3, Infinity] + 2560*S[-5, -1, -1, -1, Infinity] - 
     2560*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    ((-23*S[-1, Infinity]^4)/480 + (23*S[-1, 1, 1, 1, Infinity])/20) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/20 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     S[-1, 1, 1, 1, 1, Infinity]/2), S[3, 1, -1, 3, Infinity] -> 
  (-1847*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1216441*S[2, Infinity]^4)/2352000 + 
   ((-1135*S[-1, Infinity]^2)/224 + (18717*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/8 - 
     (4271*S[-1, Infinity]*S[2, Infinity])/112 - (82139*S[3, Infinity])/1792)*
    S[5, Infinity] - (37207*S[-1, Infinity]*S[7, Infinity])/896 + 
   (108*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (747*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    7 + (-657600*S[-7, -1, Infinity] - 126031*S[5, 3, Infinity] - 
     83200*S[-5, -1, -1, -1, Infinity] - 78080*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/21 + 
     (16*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((719*S[-1, Infinity]^5)/1680 - (193*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (22909*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (369*S[-1, 1, 1, 1, 1, Infinity])/14), S[3, 1, -1, -3, Infinity] -> 
  -S[-1, Infinity]^8/288 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (47977*S[2, Infinity]^4)/168000 + 
   ((9*S[-1, Infinity]^2)/64 + (89*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (-3*S[-1, Infinity]*S[2, Infinity] - (185*S[3, Infinity])/128)*
    S[5, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/120 - 
     (8*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(S[-1, Infinity]^5/16 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (111*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 3*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-5440*S[-7, -1, Infinity] - 1471*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640, S[3, 1, -2, 2, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (40091*S[2, Infinity]^4)/
    16000 + ((-89*S[-1, Infinity]^2)/16 - (333*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-23*S[-1, Infinity]*S[2, Infinity])/32 - 
     (15*S[3, Infinity])/8)*S[5, Infinity] + 
   (4207*S[-1, Infinity]*S[7, Infinity])/128 + 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + (15*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (1600*S[-7, -1, Infinity] + 1859*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/240 + 
     (23*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/10 - (11*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (53*S[-1, Infinity]*S[2, Infinity]^2)/80 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, 1, -2, -2, Infinity] -> (3273*S[2, Infinity]^4)/22400 - 
   (93*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/16 + (443*S[3, Infinity])/128)*
    S[5, Infinity] + S[2, Infinity]*S[-5, -1, Infinity] + 
   S[5, 3, Infinity]/16, S[3, 1, -3, 1, Infinity] -> 
  S[-1, Infinity]^8/288 + (47*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (135999*S[2, Infinity]^4)/56000 + 
   ((247*S[-1, Infinity]^2)/32 + (205*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]*S[2, Infinity])/16 + (229*S[3, Infinity])/64)*
    S[5, Infinity] - (4973*S[-1, Infinity]*S[7, Infinity])/128 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/240 + 
     (7*S[-1, 1, 1, 1, Infinity])/10) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - 10*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1280*S[-7, -1, Infinity] - 1921*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] + 3200*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/80 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (633*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[3, 1, -3, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (S[-1, Infinity]^4*S[2, Infinity]^2)/8 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (5607*S[2, Infinity]^4)/8000 + 
   ((5*S[-1, Infinity]^2)/8 + (11*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((3*S[-1, Infinity]*S[2, Infinity])/32 - (807*S[3, Infinity])/128)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-160*S[-7, -1, Infinity] - 51*S[5, 3, Infinity] + 
     160*S[-5, -1, -1, -1, Infinity] - 160*S[-5, -1, 1, 1, Infinity] - 
     320*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*(S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/
      6 + (11*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[3, -1, 3, 1, Infinity] -> 
  (-1019*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (490709*S[2, Infinity]^4)/156800 + 
   ((-1207*S[-1, Infinity]^2)/112 + (18283*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/4 - 
     (1973*S[-1, Infinity]*S[2, Infinity])/112 - (118861*S[3, Infinity])/
      1792)*S[5, Infinity] - (34437*S[-1, Infinity]*S[7, Infinity])/896 + 
   (102*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (789*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(-79*S[-5, 1, 1, Infinity] + 89*S[5, -1, -1, Infinity]))/
    7 + (-123008*S[-7, -1, Infinity] - 23599*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] - 15616*S[-5, -1, 1, 1, Infinity])/
    896 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/420 + 
     (122*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((179*S[-1, Infinity]^5)/560 - (179*S[-1, Infinity]^3*S[2, Infinity])/
      56 - (24943*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (537*S[-1, 1, 1, 1, 1, Infinity])/14), S[3, -1, 3, -1, Infinity] -> 
  (1229*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (320959*S[2, Infinity]^4)/156800 + 
   ((-81*S[-1, Infinity]^2)/224 - (4681*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((390*S[-1, Infinity]*S[2, Infinity])/7 + 
     (51811*S[3, Infinity])/896)*S[5, Infinity] - 
   (107*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (370*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (123008*S[-7, -1, Infinity] + 23599*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] + 15616*S[-5, -1, 1, 1, Infinity])/
    896 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/420 - 
     (122*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-61*S[-1, Infinity]^5)/210 + (61*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (23647*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (244*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -1, 2, 2, Infinity] -> 
  S[-1, Infinity]^8/72 + (37*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (6219*S[2, Infinity]^4)/3200 + 
   (5*S[-1, Infinity]^2 + (23*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((221*S[-1, Infinity]*S[2, Infinity])/32 + (287*S[3, Infinity])/64)*
    S[5, Infinity] - (651*S[-1, Infinity]*S[7, Infinity])/128 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/120 + 
     (23*S[-1, 1, 1, 1, Infinity])/5) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - 2*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1344*S[-7, -1, Infinity] + 297*S[5, 3, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2)/128 + 
   S[3, Infinity]*((-49*S[-1, Infinity]^5)/120 + 
     (35*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1381*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     14*S[-1, 1, 1, 1, 1, Infinity]), S[3, -1, 2, -2, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (34521*S[2, Infinity]^4)/16000 + 
   ((-5*S[-1, Infinity]^2)/2 - (89*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-37*S[-1, Infinity]*S[2, Infinity])/16 + (2993*S[3, Infinity])/128)*
    S[5, Infinity] + 2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   8*S[2, Infinity]*S[-5, -1, Infinity] + 
   (2560*S[-7, -1, Infinity] - 167*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/320 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/40 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (351*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[3, -1, 1, 3, Infinity] -> 
  (1847*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (610619*S[2, Infinity]^4)/2352000 + 
   ((1331*S[-1, Infinity]^2)/224 - (18731*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/8 + 
     (4271*S[-1, Infinity]*S[2, Infinity])/112 + (80725*S[3, Infinity])/1792)*
    S[5, Infinity] + (37207*S[-1, Infinity]*S[7, Infinity])/896 - 
   (108*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (733*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity]))/
    7 + (323200*S[-7, -1, Infinity] + 60037*S[5, 3, Infinity] + 
     41600*S[-5, -1, -1, -1, Infinity] + 39040*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((2*S[-1, Infinity]^4)/21 - 
     (16*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-249*S[-1, Infinity]^5)/560 + (607*S[-1, Infinity]^3*S[2, Infinity])/
      168 + (4607*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (397*S[-1, 1, 1, 1, 1, Infinity])/14), S[3, -1, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/288 + (23*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (238471*S[2, Infinity]^4)/84000 + 
   ((11*S[-1, Infinity]^2)/64 - S[2, Infinity])*S[3, Infinity]^2 + 
   (15*S[-1, Infinity]*S[2, Infinity] - (1477*S[3, Infinity])/128)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((9*S[-1, Infinity]^4)/160 + 
     (33*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 + 5*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (5760*S[-7, -1, Infinity] + 1691*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/120 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (549*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     5*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[3, -1, -1, 3, Infinity] -> 
  (-12193*S[2, Infinity]^4)/9600 + ((-21*S[-1, Infinity]^2)/32 - 
     (21*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   (623*S[3, Infinity]*S[5, Infinity])/128 - 10*S[2, Infinity]*
    S[-5, -1, Infinity] + (2240*S[-7, -1, Infinity] + 481*S[5, 3, Infinity])/
    128 + S[3, Infinity]*(S[-1, Infinity]^5/60 - 
     (S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (S[-1, Infinity]*S[2, Infinity]^2)/160 - 2*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, -1, -1, -3, Infinity] -> (432*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (1356799*S[2, Infinity]^4)/2352000 + 
   ((1437*S[-1, Infinity]^2)/224 - (10111*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/4 + 
     (2307*S[-1, Infinity]*S[2, Infinity])/28 + (175499*S[3, Infinity])/1792)*
    S[5, Infinity] + (42569*S[-1, Infinity]*S[7, Infinity])/448 - 
   (216*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (684*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (24*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (1304000*S[-7, -1, Infinity] + 254491*S[5, 3, Infinity] + 
     184320*S[-5, -1, -1, -1, Infinity] + 138240*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((9*S[-1, Infinity]^4)/35 - 
     (216*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-59*S[-1, Infinity]^5)/112 + (295*S[-1, Infinity]^3*S[2, Infinity])/
      56 + (11507*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (885*S[-1, 1, 1, 1, 1, Infinity])/14), S[3, -1, -2, 2, Infinity] -> 
  (-19*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (256051*S[2, Infinity]^4)/
    112000 + ((5*S[-1, Infinity]^2)/2 + (13*S[2, Infinity])/64)*
    S[3, Infinity]^2 + (12*S[-1, Infinity]*S[2, Infinity] - 
     (4635*S[3, Infinity])/256)*S[5, Infinity] - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 3*S[2, Infinity]*
    S[-5, -1, Infinity] + (16960*S[-7, -1, Infinity] + 
     3089*S[5, 3, Infinity] + 5120*S[-5, -1, -1, -1, Infinity] - 
     5120*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/16 - (3*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/40 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (319*S[-1, Infinity]*S[2, Infinity]^2)/80 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, -1, -2, -2, Infinity] -> S[-1, Infinity]^8/72 + 
   (59*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (336291*S[2, Infinity]^4)/
    112000 + (5*S[-1, Infinity]^2 - (25*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((47*S[-1, Infinity]*S[2, Infinity])/4 - 
     (1145*S[3, Infinity])/64)*S[5, Infinity] - 
   (397*S[-1, Infinity]*S[7, Infinity])/128 - 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    3 + S[2, Infinity]^2*(S[-1, Infinity]^4/8 + 9*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 + S[-5, -1, Infinity]/2 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (2880*S[-7, -1, Infinity] + 567*S[5, 3, Infinity] + 
     5120*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-91*S[-1, Infinity]^5)/120 + 
     (49*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (429*S[-1, Infinity]*S[2, Infinity]^2)/160 + 21*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 14*S[-1, 1, 1, 1, 1, Infinity]), 
 S[3, -1, -3, 1, Infinity] -> (11*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (51453*S[2, Infinity]^4)/56000 + 
   ((-5*S[-1, Infinity]^2)/4 + (3*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   (-6*S[-1, Infinity]*S[2, Infinity] + (2183*S[3, Infinity])/256)*
    S[5, Infinity] + S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   9*S[2, Infinity]*S[-5, -1, Infinity] + 
   (10880*S[-7, -1, Infinity] - 3009*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/480 + 
     (7*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/80 - (13*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (81*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[3, -1, -3, -1, Infinity] -> 
  (-3407*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (4550657*S[2, Infinity]^4)/784000 + 
   ((-163*S[-1, Infinity]^2)/28 + (2421*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/4 - 
     (14543*S[-1, Infinity]*S[2, Infinity])/224 - (108249*S[3, Infinity])/
      896)*S[5, Infinity] - (46939*S[-1, Infinity]*S[7, Infinity])/896 + 
   (209*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (705*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-65*S[-5, 1, 1, Infinity] + 103*S[5, -1, -1, Infinity]))/
    7 + (-579200*S[-7, -1, Infinity] - 122993*S[5, 3, Infinity] - 
     92160*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/35 + 
     (216*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((18*S[-1, Infinity]^5)/35 - (36*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (2749*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (432*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -2, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (619*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1636359*S[2, Infinity]^4)/784000 + 
   ((573*S[-1, Infinity]^2)/56 + (2033*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-23*S[-1, Infinity]*S[2, Infinity])/56 + 
     (2441*S[3, Infinity])/448)*S[5, Infinity] - 
   (5865*S[-1, Infinity]*S[7, Infinity])/112 - 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (46*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((169*S[-1, Infinity]^4)/1680 + 
     (251*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (92*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-7360*S[-7, -1, Infinity] - 10169*S[5, 3, Infinity] - 
     14720*S[-5, -1, -1, -1, Infinity] + 14720*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-533*S[-1, Infinity]^5)/840 + 
     (337*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (2109*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (43*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (15*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (465019*S[2, Infinity]^4)/392000 + 
   ((41*S[-1, Infinity]^2)/56 + (53*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((1671*S[-1, Infinity]*S[2, Infinity])/448 - (10223*S[3, Infinity])/896)*
    S[5, Infinity] - (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-6*S[-1, Infinity]^4)/35 - 
     (66*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (36*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-19840*S[-7, -1, Infinity] - 743*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/70 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (99*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -2, 1, 2, Infinity] -> 
  (15157*S[2, Infinity]^4)/33600 + (31*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((-155*S[-1, Infinity]*S[2, Infinity])/64 - (259*S[3, Infinity])/64)*
    S[5, Infinity] + (1651*S[-1, Infinity]*S[7, Infinity])/128 - 
   (5*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (1664*S[-7, -1, Infinity] + 427*S[5, 3, Infinity])/256, 
 S[3, -2, 1, -2, Infinity] -> (25381*S[2, Infinity]^4)/48000 - 
   (107*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((155*S[-1, Infinity]*S[2, Infinity])/32 + (801*S[3, Infinity])/256)*
    S[5, Infinity] + (5*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (607*S[5, 3, Infinity])/640, S[3, -2, -1, 2, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (27719*S[2, Infinity]^4)/
    24000 + (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (97*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (561*S[3, Infinity]*S[5, Infinity])/128 + 
   (5*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-4960*S[-7, -1, Infinity] - 1491*S[5, 3, Infinity])/640 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/60 + 
     (14*S[-1, 1, 1, 1, Infinity])/5), S[3, -2, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (1041*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1297601*S[2, Infinity]^4)/470400 + 
   ((-103*S[-1, Infinity]^2)/8 - (2861*S[2, Infinity])/448)*
    S[3, Infinity]^2 + (4*S[-1, Infinity]*S[2, Infinity] + 
     (5077*S[3, Infinity])/896)*S[5, Infinity] + 
   (22861*S[-1, Infinity]*S[7, Infinity])/448 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (64*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-319*S[-1, Infinity]^4)/1680 - 
     (521*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 + (597*S[-5, -1, Infinity])/28 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1728*S[-7, -1, Infinity] + 1593*S[5, 3, Infinity] + 
     4608*S[-5, -1, -1, -1, Infinity] - 4608*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((116*S[-1, Infinity]^5)/105 - 
     (134*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (99*S[-1, Infinity]*S[2, Infinity]^2)/20 - 28*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (52*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[3, -2, -2, 1, Infinity] -> (2659*S[2, Infinity]^4)/7000 + 
   (5*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (349*S[3, Infinity]*S[5, Infinity])/256 - (1709*S[5, 3, Infinity])/1280, 
 S[3, -2, -2, -1, Infinity] -> (25*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (1039123*S[2, Infinity]^4)/784000 + 
   ((63*S[-1, Infinity]^2)/16 + (369*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((-249*S[-1, Infinity]*S[2, Infinity])/64 - (3441*S[3, Infinity])/448)*
    S[5, Infinity] - (10359*S[-1, Infinity]*S[7, Infinity])/896 - 
   (72*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (24320*S[-7, -1, Infinity] - 11311*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((37*S[-1, Infinity]^4)/1680 - 
     (37*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-73*S[-1, Infinity]^5)/280 + (121*S[-1, Infinity]^3*S[2, Infinity])/
      84 - (11*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (26*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -3, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (59*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (326867*S[2, Infinity]^4)/294000 + 
   ((-303*S[-1, Infinity]^2)/112 - (2997*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 - 
     (317*S[-1, Infinity]*S[2, Infinity])/56 - (569*S[3, Infinity])/448)*
    S[5, Infinity] + (5279*S[-1, Infinity]*S[7, Infinity])/112 - 
   (2*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/3360 - 
     (359*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (50*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (2220*S[-7, -1, Infinity] + 501*S[5, 3, Infinity] + 
     380*S[-5, -1, -1, -1, Infinity] + 40*S[-5, -1, 1, 1, Infinity] - 
     140*S[-1, 1, 1, 1, Infinity]^2)/70 + S[3, Infinity]*
    ((85*S[-1, Infinity]^5)/336 - (229*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (363*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (65*S[-1, 1, 1, 1, 1, Infinity])/14), S[3, -3, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 - (181*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (8777*S[2, Infinity]^4)/73500 + ((-821*S[-1, Infinity]^2)/448 + 
     (289*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/16 - (3495*S[-1, Infinity]*S[2, Infinity])/224 - 
     (1489*S[3, Infinity])/224)*S[5, Infinity] + 
   (83*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/42 + (17*S[-1, 1, 1, 1, Infinity])/
      7) + S[2, Infinity]*(-S[-1, Infinity]^6/24 + (333*S[-5, -1, Infinity])/
      14 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-243840*S[-7, -1, Infinity] - 38179*S[5, 3, Infinity] - 
     26240*S[-5, -1, -1, -1, Infinity] - 27520*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/420 - 
     (43*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (4829*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (86*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -3, -1, 1, Infinity] -> 
  (743*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (1121959*S[2, Infinity]^4)/
    1176000 + ((-153*S[-1, Infinity]^2)/448 - (1759*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/16 + 
     (1467*S[-1, Infinity]*S[2, Infinity])/112 + (41075*S[3, Infinity])/1792)*
    S[5, Infinity] - (17*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (107*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (221440*S[-7, -1, Infinity] + 25691*S[5, 3, Infinity] + 
     21760*S[-5, -1, -1, -1, Infinity] + 32000*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/14 - 
     (12*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-5*S[-1, Infinity]^5)/84 + (25*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (641*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7), S[3, -3, -1, -1, Infinity] -> 
  (22*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (3029881*S[2, Infinity]^4)/
    2352000 + (S[-1, Infinity]^2/28 - (835*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (14893*S[-1, Infinity]*S[2, Infinity])/448 + (24099*S[3, Infinity])/896)*
    S[5, Infinity] + (30647*S[-1, Infinity]*S[7, Infinity])/896 - 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (463*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 31*S[5, -1, -1, Infinity]))/
    7 + (463040*S[-7, -1, Infinity] + 85409*S[5, 3, Infinity] + 
     61440*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/35 - 
     (72*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-6*S[-1, Infinity]^5)/35 + (12*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (15027*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (144*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 4, 1, 1, Infinity] -> 
  (-179*S[2, Infinity]^4)/1000 - 2*S[2, Infinity]*S[3, Infinity]^2 + 
   (9*S[3, Infinity]*S[5, Infinity])/2 + (21*S[5, 3, Infinity])/10, 
 S[2, 4, 1, -1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (113*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (52053*S[2, Infinity]^4)/19600 + ((-215*S[-1, Infinity]^2)/56 + 
     (7109*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 - (11217*S[-1, Infinity]*S[2, Infinity])/448 - 
     (23495*S[3, Infinity])/1792)*S[5, Infinity] - 
   (17303*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (46*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-421*S[-1, Infinity]^4)/3360 - 
     (419*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (415*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-100096*S[-7, -1, Infinity] - 15629*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 11264*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((111*S[-1, Infinity]^5)/280 - 
     (235*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (3483*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 4, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (403*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (409691*S[2, Infinity]^4)/392000 + 
   ((-55*S[-1, Infinity]^2)/56 + (59*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 + (3985*S[-1, Infinity]*S[2, Infinity])/448 + 
     (7867*S[3, Infinity])/1792)*S[5, Infinity] - 
   (3691*S[-1, Infinity]*S[7, Infinity])/128 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*S[5, -1, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((41*S[-1, Infinity]^4)/672 + 
     (127*S[-1, 1, 1, 1, Infinity])/28) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (8*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-74240*S[-7, -1, Infinity] + 6287*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-15*S[-1, Infinity]^5)/56 + 
     (127*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (1417*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 4, -1, -1, Infinity] -> 
  (33*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (377593*S[2, Infinity]^4)/
    196000 + ((-191*S[-1, Infinity]^2)/112 - (1119*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((4773*S[-1, Infinity]*S[2, Infinity])/224 + 
     (54685*S[3, Infinity])/1792)*S[5, Infinity] - 
   (37*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (132*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (428160*S[-7, -1, Infinity] + 104047*S[5, 3, Infinity] + 
     58880*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((19*S[-1, Infinity]^4)/420 - 
     (38*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-19*S[-1, Infinity]^5)/210 + (19*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (6833*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (76*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 3, 2, 1, Infinity] -> 
  (49*S[2, Infinity]^4)/200, S[2, 3, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/72 + (113*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (3203*S[2, Infinity]^4)/896 + 
   (5*S[-1, Infinity]^2 - (195*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((1403*S[-1, Infinity]*S[2, Infinity])/64 + (217*S[3, Infinity])/128)*
    S[5, Infinity] - (905*S[-1, Infinity]*S[7, Infinity])/128 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   8*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]^2*
    ((7*S[-1, Infinity]^4)/48 + (17*S[-1, 1, 1, 1, Infinity])/2) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/12 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (32*S[-1, Infinity]*S[2, Infinity]^2)/5 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^6/6 + 
     (15*S[-5, -1, Infinity])/2 + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]), S[2, 3, 1, 2, Infinity] -> 
  (51353*S[2, Infinity]^4)/21000 + (3*S[2, Infinity]*S[3, Infinity]^2)/2 - 
   (27*S[3, Infinity]*S[5, Infinity])/2 - (27*S[5, 3, Infinity])/10, 
 S[2, 3, 1, -2, Infinity] -> (-621451*S[2, Infinity]^4)/336000 - 
   (117*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/32 + (2531*S[3, Infinity])/256)*
    S[5, Infinity] - (1651*S[-1, Infinity]*S[7, Infinity])/256 + 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-4160*S[-7, -1, Infinity] + 1627*S[5, 3, Infinity])/1280, 
 S[2, 3, -1, 2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (691*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (21967*S[2, Infinity]^4)/2352000 + 
   ((-5*S[-1, Infinity]^2)/8 + (57*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-289*S[-1, Infinity]*S[2, Infinity])/64 - (4919*S[3, Infinity])/896)*
    S[5, Infinity] + (19717*S[-1, Infinity]*S[7, Infinity])/896 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/112 - 
     (135*S[-1, 1, 1, 1, Infinity])/14) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - (41*S[-5, -1, Infinity])/14 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (61120*S[-7, -1, Infinity] - 20953*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/84 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (39*S[-1, Infinity]*S[2, Infinity]^2)/10 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (80*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[2, 3, -1, -2, Infinity] -> (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (7039*S[2, Infinity]^4)/48000 - (15*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 + (S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/32 - (1093*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]*S[-5, -1, Infinity] + 
   (-320*S[-7, -1, Infinity] - 31*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/60 - (14*S[-1, 1, 1, 1, Infinity])/
      5), S[2, 3, -2, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (173769*S[2, Infinity]^4)/
    112000 + ((-5*S[-1, Infinity]^2)/2 - (615*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((481*S[-1, Infinity]*S[2, Infinity])/64 - 
     (333*S[3, Infinity])/256)*S[5, Infinity] + 
   (1659*S[-1, Infinity]*S[7, Infinity])/64 + 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + (47*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (-320*S[-7, -1, Infinity] + 799*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/320 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/30 + (4*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(S[-1, Infinity]^5/15 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[2, 3, -2, -1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (2957*S[2, Infinity]^4)/1750 + 
   ((29*S[-1, Infinity]^2)/8 + (45*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-489*S[-1, Infinity]*S[2, Infinity])/64 - (1127*S[3, Infinity])/128)*
    S[5, Infinity] + 2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   8*S[2, Infinity]*S[-5, -1, Infinity] + 
   (13440*S[-7, -1, Infinity] - 4743*S[5, 3, Infinity] - 
     5120*S[-5, -1, -1, -1, Infinity] + 5120*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(-S[-1, Infinity]^4/12 + 
     2*S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (437*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[2, 2, 3, 1, Infinity] -> 
  (7221*S[2, Infinity]^4)/7000 - 6*S[3, Infinity]*S[5, Infinity] + 
   (9*S[5, 3, Infinity])/5, S[2, 2, 3, -1, Infinity] -> 
  (-5*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (2631217*S[2, Infinity]^4)/
    784000 + ((-35*S[-1, Infinity]^2)/16 + (335*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-719*S[-1, Infinity]*S[2, Infinity])/64 + 
     (465*S[3, Infinity])/56)*S[5, Infinity] - 
   (26717*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (25*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-83200*S[-7, -1, Infinity] + 5531*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(-S[-1, Infinity]^4/42 + 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (S[-1, Infinity]^5/21 - (10*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (85*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 2, 2, 2, Infinity] -> 
  (381*S[2, Infinity]^4)/1400, S[2, 2, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (161*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (230833*S[2, Infinity]^4)/112000 + 
   ((-89*S[-1, Infinity]^2)/8 - (113*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-89*S[-1, Infinity]*S[2, Infinity])/8 - (39*S[3, Infinity])/4)*
    S[5, Infinity] + (639*S[-1, Infinity]*S[7, Infinity])/16 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 8*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/240 - 
     (97*S[-1, 1, 1, 1, Infinity])/10) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 + 10*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-640*S[-7, -1, Infinity] + 323*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/60 - (29*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (1107*S[-1, Infinity]*S[2, Infinity]^2)/80 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, 1, 3, Infinity] -> (42787*S[2, Infinity]^4)/21000 + 
   3*S[2, Infinity]*S[3, Infinity]^2 - (29*S[3, Infinity]*S[5, Infinity])/2 - 
   (9*S[5, 3, Infinity])/5, S[2, 2, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/144 + (161*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (397393*S[2, Infinity]^4)/168000 + 
   ((89*S[-1, Infinity]^2)/16 + (161*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((85*S[-1, Infinity]*S[2, Infinity])/32 + (537*S[3, Infinity])/32)*
    S[5, Infinity] - (11589*S[-1, Infinity]*S[7, Infinity])/256 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/480 + 
     (97*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (13*S[-5, -1, Infinity])/2 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1400*S[-7, -1, Infinity] - 441*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/120 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1107*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[2, 2, -1, 3, Infinity] -> 
  -S[-1, Infinity]^8/72 - (47*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (1847057*S[2, Infinity]^4)/336000 + 
   (-5*S[-1, Infinity]^2 + (145*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-841*S[-1, Infinity]*S[2, Infinity])/32 + (641*S[3, Infinity])/128)*
    S[5, Infinity] + (651*S[-1, Infinity]*S[7, Infinity])/128 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/40 - 
     (33*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - 6*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1040*S[-7, -1, Infinity] + 9*S[5, 3, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    ((61*S[-1, Infinity]^5)/120 - (13*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (1363*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     11*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[2, 2, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/144 + S[-1, Infinity]^2*S[2, Infinity]^3 + 
   (31673*S[2, Infinity]^4)/10500 + ((-9*S[-1, Infinity]^2)/16 - 
     (65*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   (12*S[-1, Infinity]*S[2, Infinity] - (85*S[3, Infinity])/64)*
    S[5, Infinity] - 2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 + (22*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(-S[-1, Infinity]^5/8 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (369*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + 8*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-680*S[-7, -1, Infinity] + 171*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2)/160, S[2, 2, -2, 2, Infinity] -> 
  S[-1, Infinity]^8/24 + (393*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (171427*S[2, Infinity]^4)/22400 + 
   ((267*S[-1, Infinity]^2)/8 + (545*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((19*S[-1, Infinity]*S[2, Infinity])/8 + (3457*S[3, Infinity])/64)*
    S[5, Infinity] - (2933*S[-1, Infinity]*S[7, Infinity])/16 - 
   12*S[-1, Infinity]^2*S[-5, -1, Infinity] - 24*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/80 + 
     (201*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (-S[-1, Infinity]^6/2 - 46*S[-5, -1, Infinity] + 
     12*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-512*S[-7, -1, Infinity] - 867*S[5, 3, Infinity] - 
     1536*S[-5, -1, -1, -1, Infinity] + 1536*S[-5, -1, 1, 1, Infinity] + 
     1536*S[-1, 1, 1, 1, Infinity]^2)/64 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/20 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (2691*S[-1, Infinity]*S[2, Infinity]^2)/80 + 42*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 48*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 2, -2, -2, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (76339*S[2, Infinity]^4)/112000 - (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/16 + (13*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/4 - (1799*S[3, Infinity])/128)*
    S[5, Infinity] - 4*S[2, Infinity]*S[-5, -1, Infinity] - 
   (187*S[5, 3, Infinity])/640 + S[2, Infinity]^2*(S[-1, Infinity]^4/16 - 
     (3*S[-1, 1, 1, 1, Infinity])/2), S[2, 2, -3, 1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (1247*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (643393*S[2, Infinity]^4)/392000 + 
   ((-723*S[-1, Infinity]^2)/112 - (2605*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-3103*S[-1, Infinity]*S[2, Infinity])/448 - 
     (449*S[3, Infinity])/224)*S[5, Infinity] + 
   (21869*S[-1, Infinity]*S[7, Infinity])/896 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (38*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/1120 - 
     (639*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (199*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-60800*S[-7, -1, Infinity] + 29541*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((107*S[-1, Infinity]^5)/280 - 
     (223*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (8539*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (76*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 2, -3, -1, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (211451*S[2, Infinity]^4)/
    392000 + ((145*S[-1, Infinity]^2)/112 + (225*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-1437*S[-1, Infinity]*S[2, Infinity])/448 - 
     (8707*S[3, Infinity])/1792)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (20*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (13520*S[-7, -1, Infinity] - 2683*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] + 3200*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*(S[-1, Infinity]^4/84 - 
     (2*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (-S[-1, Infinity]^5/42 + (5*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (437*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, 4, 1, Infinity] -> 
  (9949*S[2, Infinity]^4)/7000 + S[2, Infinity]*S[3, Infinity]^2 - 
   (11*S[3, Infinity]*S[5, Infinity])/2 - (33*S[5, 3, Infinity])/10, 
 S[2, 1, 4, -1, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity]^3)/7 + 
   (87889*S[2, Infinity]^4)/78400 + 
   ((7*S[-1, Infinity]^2)/4 + (493*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((101*S[-1, Infinity]*S[2, Infinity])/32 - (3413*S[3, Infinity])/1792)*
    S[5, Infinity] + (3397*S[-1, Infinity]*S[7, Infinity])/896 - 
   (23*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (7808*S[-7, -1, Infinity] - 4013*S[5, 3, Infinity] - 
     4096*S[-5, -1, -1, -1, Infinity] + 4096*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((2*S[-1, Infinity]^4)/105 - 
     (16*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-4*S[-1, Infinity]^5)/105 + (8*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/8 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, 3, 2, Infinity] -> 
  (-17567*S[2, Infinity]^4)/7000 - 3*S[2, Infinity]*S[3, Infinity]^2 + 
   18*S[3, Infinity]*S[5, Infinity] + (27*S[5, 3, Infinity])/5, 
 S[2, 1, 3, -2, Infinity] -> (-14193*S[2, Infinity]^4)/7000 + 
   (41*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-279*S[-1, Infinity]*S[2, Infinity])/64 + (693*S[3, Infinity])/128)*
    S[5, Infinity] - (1651*S[-1, Infinity]*S[7, Infinity])/256 - 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (-520*S[-7, -1, Infinity] + 201*S[5, 3, Infinity])/160, 
 S[2, 1, 2, 3, Infinity] -> (15563*S[2, Infinity]^4)/21000 - 
   S[2, Infinity]*S[3, Infinity]^2 + 2*S[3, Infinity]*S[5, Infinity] - 
   (27*S[5, 3, Infinity])/10, S[2, 1, 2, -3, Infinity] -> 
  (658489*S[2, Infinity]^4)/168000 - (245*S[2, Infinity]*S[3, Infinity]^2)/
    128 + ((651*S[-1, Infinity]*S[2, Infinity])/64 - 
     (3707*S[3, Infinity])/256)*S[5, Infinity] + 
   (127*S[-1, Infinity]*S[7, Infinity])/4 + 
   (21*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (20480*S[-7, -1, Infinity] + 1219*S[5, 3, Infinity])/1280, 
 S[2, 1, 1, 4, Infinity] -> (6067*S[2, Infinity]^4)/21000 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - S[3, Infinity]*S[5, Infinity] + 
   (6*S[5, 3, Infinity])/5, S[2, 1, 1, -4, Infinity] -> 
  (-1337*S[2, Infinity]^4)/750 + (17*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((-279*S[-1, Infinity]*S[2, Infinity])/64 + (229*S[3, Infinity])/64)*
    S[5, Infinity] - (3429*S[-1, Infinity]*S[7, Infinity])/256 - 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (-4320*S[-7, -1, Infinity] - 779*S[5, 3, Infinity])/640, 
 S[2, 1, -1, 4, Infinity] -> S[-1, Infinity]^8/144 + 
   (1629*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (3165833*S[2, Infinity]^4)/1176000 + 
   ((1061*S[-1, Infinity]^2)/224 - (15007*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (19343*S[-1, Infinity]*S[2, Infinity])/448 + (13925*S[3, Infinity])/448)*
    S[5, Infinity] + (13569*S[-1, Infinity]*S[7, Infinity])/448 - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/168 + 
     (19*S[-1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (787*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (920960*S[-7, -1, Infinity] + 183203*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] + 84480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-199*S[-1, Infinity]^5)/420 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (20509*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (153*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, -1, -4, Infinity] -> 
  (-481*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (472687*S[2, Infinity]^4)/1176000 + 
   ((9*S[-1, Infinity]^2)/56 + (335*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-24*S[-1, Infinity]*S[2, Infinity])/7 - (6099*S[3, Infinity])/1792)*
    S[5, Infinity] + (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (67*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (57600*S[-7, -1, Infinity] - 11807*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((71*S[-1, Infinity]^4)/840 - 
     (71*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/70 - (S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (113*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, -2, 3, Infinity] -> 
  (-275531*S[2, Infinity]^4)/168000 + (257*S[2, Infinity]*S[3, Infinity]^2)/
    128 + ((-465*S[-1, Infinity]*S[2, Infinity])/64 + (61*S[3, Infinity])/64)*
    S[5, Infinity] - (1651*S[-1, Infinity]*S[7, Infinity])/128 - 
   (15*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (-8320*S[-7, -1, Infinity] - 1501*S[5, 3, Infinity])/1280, 
 S[2, 1, -2, -3, Infinity] -> (-310403*S[2, Infinity]^4)/168000 - 
   (113*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (3181*S[3, Infinity]*S[5, Infinity])/256 + (5537*S[5, 3, Infinity])/1280, 
 S[2, 1, -3, 2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (9139*S[2, Infinity]^4)/
    1750 + ((-89*S[-1, Infinity]^2)/8 - (859*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((435*S[-1, Infinity]*S[2, Infinity])/64 - 
     (6639*S[3, Infinity])/256)*S[5, Infinity] + 
   (1147*S[-1, Infinity]*S[7, Infinity])/16 + 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/60 - 
     (26*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 + (77*S[-5, -1, Infinity])/4 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (10240*S[-7, -1, Infinity] + 4379*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/60 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (99*S[-1, Infinity]*S[2, Infinity]^2)/10 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, 1, -3, -2, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (8439*S[2, Infinity]^4)/3500 + (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 + S[2, Infinity]*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/16 - (2121*S[3, Infinity])/256)*
    S[5, Infinity] + S[2, Infinity]*S[-5, -1, Infinity] - 
   (5583*S[5, 3, Infinity])/1280 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/32 + (3*S[-1, 1, 1, 1, Infinity])/4), 
 S[2, 1, -4, 1, Infinity] -> (6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (454661*S[2, Infinity]^4)/392000 + 
   ((5*S[-1, Infinity]^2)/7 + (41*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity])/14 + (1473*S[3, Infinity])/448)*
    S[5, Infinity] - (5493*S[-1, Infinity]*S[7, Infinity])/896 - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (16*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (8320*S[-7, -1, Infinity] + 4517*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/105 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/105 + (4*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, 1, -4, -1, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (39269*S[2, Infinity]^4)/98000 + 
   ((-29*S[-1, Infinity]^2)/28 - (33*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   ((1809*S[-1, Infinity]*S[2, Infinity])/448 + (1929*S[3, Infinity])/448)*
    S[5, Infinity] - (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (16*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (14080*S[-7, -1, Infinity] + 25597*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(-S[-1, Infinity]^4/105 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/105 - (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (227*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -1, 4, 1, Infinity] -> 
  -S[-1, Infinity]^8/144 + (21*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (47613*S[2, Infinity]^4)/11200 + ((157*S[-1, Infinity]^2)/28 - 
     (1511*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/2 + (573*S[-1, Infinity]*S[2, Infinity])/224 + 
     (1419*S[3, Infinity])/32)*S[5, Infinity] + 
   (4197*S[-1, Infinity]*S[7, Infinity])/112 - 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*(S[-1, Infinity]^4/20 - 
     (36*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (167*S[-5, -1, Infinity])/4 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (24704*S[-7, -1, Infinity] + 4401*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 3584*S[-5, -1, 1, 1, Infinity] - 
     1024*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/120 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (1223*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     28*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, 4, -1, Infinity] -> 
  S[-1, Infinity]^8/144 - (1801*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (620149*S[2, Infinity]^4)/392000 + 
   ((135*S[-1, Infinity]^2)/112 + (1539*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-17295*S[-1, Infinity]*S[2, Infinity])/448 - 
     (7771*S[3, Infinity])/224)*S[5, Infinity] + 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/14 + (30*S[-1, 1, 1, 1, Infinity])/
      7) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + (244*S[-5, -1, Infinity])/
      7 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-786560*S[-7, -1, Infinity] - 164653*S[5, 3, Infinity] - 
     130560*S[-5, -1, -1, -1, Infinity] - 84480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/70 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (7263*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (132*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -1, 3, 2, Infinity] -> 
  S[-1, Infinity]^8/72 + (453*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1972899*S[2, Infinity]^4)/784000 + 
   ((5*S[-1, Infinity]^2)/8 - (127*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((1469*S[-1, Infinity]*S[2, Infinity])/64 - (4489*S[3, Infinity])/896)*
    S[5, Infinity] - (19717*S[-1, Infinity]*S[7, Infinity])/896 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((403*S[-1, Infinity]^4)/1680 + 
     (437*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 + (181*S[-5, -1, Infinity])/14 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-10240*S[-7, -1, Infinity] + 557*S[5, 3, Infinity] + 
     6400*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/84 + 
     (107*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (39*S[-1, Infinity]*S[2, Infinity]^2)/10 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (80*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[2, -1, 3, -2, Infinity] -> (13*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (12039*S[2, Infinity]^4)/28000 - (27*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 + (9*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   ((-773*S[-1, Infinity]*S[2, Infinity])/64 - (2873*S[3, Infinity])/256)*
    S[5, Infinity] - 6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-5120*S[-7, -1, Infinity] + 299*S[5, 3, Infinity])/1280 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/240 + 
     (13*S[-1, 1, 1, 1, Infinity])/10), S[2, -1, 2, 3, Infinity] -> 
  S[-1, Infinity]^8/72 + (125*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (8777287*S[2, Infinity]^4)/2352000 + 
   ((75*S[-1, Infinity]^2)/8 + (2669*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((69*S[-1, Infinity]*S[2, Infinity])/64 + (21597*S[3, Infinity])/896)*
    S[5, Infinity] - (28925*S[-1, Infinity]*S[7, Infinity])/448 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (48*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((197*S[-1, Infinity]^4)/560 + 
     (249*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - (209*S[-5, -1, Infinity])/14 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-6080*S[-7, -1, Infinity] - 12623*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-37*S[-1, Infinity]^5)/70 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (229*S[-1, Infinity]*S[2, Infinity]^2)/20 + 8*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (164*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[2, -1, 2, -3, Infinity] -> -S[-1, Infinity]^8/72 - 
   (13*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (11402*S[2, Infinity]^4)/
    2625 + ((9*S[-1, Infinity]^2)/8 + (35*S[2, Infinity])/8)*
    S[3, Infinity]^2 + ((-1659*S[-1, Infinity]*S[2, Infinity])/64 + 
     (677*S[3, Infinity])/256)*S[5, Infinity] + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/4 - 6*S[-1, 1, 1, 1, Infinity]) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(S[-1, Infinity]^5/4 - (3*S[-1, Infinity]^3*S[2, Infinity])/
      2 - (1083*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - 12*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-10240*S[-7, -1, Infinity] - 6193*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2)/1280, S[2, -1, 1, 4, Infinity] -> 
  -S[-1, Infinity]^8/144 - (3271*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (163679*S[2, Infinity]^4)/168000 + 
   ((-1845*S[-1, Infinity]^2)/224 + (695*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (12343*S[-1, Infinity]*S[2, Infinity])/448 - (10365*S[3, Infinity])/256)*
    S[5, Infinity] + (4295*S[-1, Infinity]*S[7, Infinity])/896 + 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/32 - 
     (3*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (83*S[-5, -1, Infinity])/2 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-119040*S[-7, -1, Infinity] - 20511*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 17920*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/20 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (21377*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     31*S[-1, 1, 1, 1, 1, Infinity]), S[2, -1, 1, -4, Infinity] -> 
  (313*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + (686083*S[2, Infinity]^4)/
    588000 + ((-9*S[-1, Infinity]^2)/56 - (307*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((2145*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1507*S[3, Infinity])/1792)*S[5, Infinity] - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (53*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (-39680*S[-7, -1, Infinity] + 1181*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/840 + 
     (29*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/70 + (S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (33*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -1, -1, 4, Infinity] -> 
  (313*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (450869*S[2, Infinity]^4)/
    294000 + ((-9*S[-1, Infinity]^2)/28 - (55*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((27*S[-1, Infinity]*S[2, Infinity])/7 + 
     (10651*S[3, Infinity])/1792)*S[5, Infinity] - 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (67*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-133120*S[-7, -1, Infinity] - 3749*S[5, 3, Infinity] + 
     20480*S[-5, -1, -1, -1, Infinity] - 20480*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/420 + 
     (58*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/35 + (2*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (2517*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -1, -1, -4, Infinity] -> 
  (-4863*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (9527579*S[2, Infinity]^4)/2352000 + 
   ((-207*S[-1, Infinity]^2)/112 + (3835*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (1913*S[-1, Infinity]*S[2, Infinity])/28 - (54835*S[3, Infinity])/896)*
    S[5, Infinity] - (71073*S[-1, Infinity]*S[7, Infinity])/896 + 
   (150*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (733*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-856960*S[-7, -1, Infinity] - 177411*S[5, 3, Infinity] - 
     145920*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/224 + 
     (57*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/140 - (43*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (7871*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (258*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -1, -2, 3, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (55237*S[2, Infinity]^4)/
    24000 + (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (5*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   ((63*S[-1, Infinity]*S[2, Infinity])/64 - (1253*S[3, Infinity])/128)*
    S[5, Infinity] + (-880*S[-7, -1, Infinity] - 439*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/60 + 
     (14*S[-1, 1, 1, 1, Infinity])/5), S[2, -1, -2, -3, Infinity] -> 
  -S[-1, Infinity]^8/72 - (971*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (4765403*S[2, Infinity]^4)/2352000 + 
   ((-103*S[-1, Infinity]^2)/8 - (3449*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((319*S[-1, Infinity]*S[2, Infinity])/64 - 
     (26561*S[3, Infinity])/1792)*S[5, Infinity] + 
   (22861*S[-1, Infinity]*S[7, Infinity])/448 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (64*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-389*S[-1, Infinity]^4)/1680 - 
     (451*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 + (309*S[-5, -1, Infinity])/14 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-28480*S[-7, -1, Infinity] + 18317*S[5, 3, Infinity] + 
     46080*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((317*S[-1, Infinity]^5)/420 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (1789*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (144*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -1, -3, 2, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (5423*S[2, Infinity]^4)/7000 + 
   (15*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/32 - 
   4*S[2, Infinity]*S[3, Infinity]^2 + 
   ((33*S[-1, Infinity]*S[2, Infinity])/64 + (4645*S[3, Infinity])/256)*
    S[5, Infinity] + 5*S[2, Infinity]*S[-5, -1, Infinity] + 
   (23*(-640*S[-7, -1, Infinity] + 81*S[5, 3, Infinity]))/1280 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/60 + 
     (14*S[-1, 1, 1, 1, Infinity])/5), S[2, -1, -3, -2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (611*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (5899427*S[2, Infinity]^4)/784000 + 
   ((23*S[-1, Infinity]^2)/8 + (223*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-1727*S[-1, Infinity]*S[2, Infinity])/64 + (16749*S[3, Infinity])/896)*
    S[5, Infinity] - (17939*S[-1, Infinity]*S[7, Infinity])/896 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-101*S[-1, Infinity]^4)/1680 - 
     (739*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - (151*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1360*S[-7, -1, Infinity] - 1259*S[5, 3, Infinity] - 
     2880*S[-5, -1, -1, -1, Infinity] + 2880*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/280 + 
   S[3, Infinity]*((173*S[-1, Infinity]^5)/420 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/10 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (144*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[2, -1, -4, 1, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity]^3)/2 + 
   (50881*S[2, Infinity]^4)/56000 - (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/8 + S[2, Infinity]*S[3, Infinity]^2 + 
   ((-177*S[-1, Infinity]*S[2, Infinity])/64 - (245*S[3, Infinity])/64)*
    S[5, Infinity] + (-4000*S[-7, -1, Infinity] + 659*S[5, 3, Infinity])/
    640 + S[2, Infinity]^2*(-S[-1, Infinity]^4/12 + 
     2*S[-1, 1, 1, 1, Infinity]), S[2, -1, -4, -1, Infinity] -> 
  (1331*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (1898249*S[2, Infinity]^4)/784000 + 
   ((367*S[-1, Infinity]^2)/112 - (13863*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (24699*S[-1, Infinity]*S[2, Infinity])/448 + (65573*S[3, Infinity])/896)*
    S[5, Infinity] + (29131*S[-1, Infinity]*S[7, Infinity])/896 - 
   (158*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (426*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + (3*(31320*S[-7, -1, Infinity] + 7253*S[5, 3, Infinity] + 
      6080*S[-5, -1, -1, -1, Infinity] + 2880*S[-5, -1, 1, 1, Infinity]))/
    560 + S[2, Infinity]^2*((181*S[-1, Infinity]^4)/1680 - 
     (181*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-461*S[-1, Infinity]^5)/840 + (121*S[-1, Infinity]^3*S[2, Infinity])/
      28 + (30319*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -2, 3, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (52*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (284419*S[2, Infinity]^4)/392000 + 
   ((523*S[-1, Infinity]^2)/112 - (235*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((1881*S[-1, Infinity]*S[2, Infinity])/448 + 
     (5437*S[3, Infinity])/448)*S[5, Infinity] - 
   (12137*S[-1, Infinity]*S[7, Infinity])/896 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/420 + 
     (136*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (81*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (19840*S[-7, -1, Infinity] + 743*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-281*S[-1, Infinity]^5)/840 + 
     (61*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (2867*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -2, 3, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (61*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (2028009*S[2, Infinity]^4)/784000 + 
   ((-81*S[-1, Infinity]^2)/28 - (173*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((10617*S[-1, Infinity]*S[2, Infinity])/448 - (14125*S[3, Infinity])/1792)*
    S[5, Infinity] - (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/210 - 
     (38*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (92*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (7360*S[-7, -1, Infinity] + 10169*S[5, 3, Infinity] + 
     14720*S[-5, -1, -1, -1, Infinity] - 14720*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/210 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (251*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (92*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -2, 2, 2, Infinity] -> 
  -S[-1, Infinity]^8/24 - (331*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (1211941*S[2, Infinity]^4)/112000 + 
   ((-267*S[-1, Infinity]^2)/8 - (613*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((105*S[-1, Infinity]*S[2, Infinity])/8 - (103*S[3, Infinity])/2)*
    S[5, Infinity] + (2933*S[-1, Infinity]*S[7, Infinity])/16 + 
   12*S[-1, Infinity]^2*S[-5, -1, Infinity] + 24*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-221*S[-1, Infinity]^4)/240 - 
     (139*S[-1, 1, 1, 1, Infinity])/10) + 2*S[-1, Infinity]^4*
    S[-1, 1, 1, 1, Infinity] + S[2, Infinity]*(S[-1, Infinity]^6/2 + 
     54*S[-5, -1, Infinity] - 12*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (640*S[-7, -1, Infinity] + 
     969*S[5, 3, Infinity] + 1920*S[-5, -1, -1, -1, Infinity] - 
     1920*S[-5, -1, 1, 1, Infinity] - 1920*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/20 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (2257*S[-1, Infinity]*S[2, Infinity]^2)/80 - 42*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 48*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, 2, -2, Infinity] -> S[-1, Infinity]^8/72 + 
   (23*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + (90669*S[2, Infinity]^4)/
    22400 + ((49*S[-1, Infinity]^2)/8 + (63*S[2, Infinity])/16)*
    S[3, Infinity]^2 - (595*S[3, Infinity]*S[5, Infinity])/64 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/48 + (23*S[-1, 1, 1, 1, Infinity])/
      2) + S[3, Infinity]*((-7*S[-1, Infinity]^5)/12 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (161*S[-1, Infinity]*S[2, Infinity]^2)/16 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^6/6 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-119*S[5, 3, Infinity] + 512*S[-1, 1, 1, 1, Infinity]^2)/64, 
 S[2, -2, 1, 3, Infinity] -> (43*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (778709*S[2, Infinity]^4)/336000 + 
   ((61*S[-1, Infinity]^2)/16 + (521*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-101*S[-1, Infinity]*S[2, Infinity])/32 + (95*S[3, Infinity])/16)*
    S[5, Infinity] - (4207*S[-1, Infinity]*S[7, Infinity])/128 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (19*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (-1600*S[-7, -1, Infinity] - 1441*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/240 + 
     (11*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    (-S[-1, Infinity]^5/6 + (7*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (291*S[-1, Infinity]*S[2, Infinity]^2)/80 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 5*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, 1, -3, Infinity] -> (-97*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (85243*S[2, Infinity]^4)/42000 + 
   ((-7*S[-1, Infinity]^2)/4 - (183*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (2617*S[3, Infinity]*S[5, Infinity])/256 + (1793*S[5, 3, Infinity])/1280 + 
   S[2, Infinity]^2*((97*S[-1, Infinity]^4)/480 - 
     (97*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/15 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (679*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     4*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, -2, -1, 3, Infinity] -> 
  (-4*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (473603*S[2, Infinity]^4)/
    336000 + ((15*S[-1, Infinity]^2)/8 + (27*S[2, Infinity])/8)*
    S[3, Infinity]^2 + (-12*S[-1, Infinity]*S[2, Infinity] - 
     (1091*S[3, Infinity])/256)*S[5, Infinity] + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 8*S[2, Infinity]*
    S[-5, -1, Infinity] + (5440*S[-7, -1, Infinity] - 
     3579*S[5, 3, Infinity] - 5120*S[-5, -1, -1, -1, Infinity] + 
     5120*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    ((3*S[-1, Infinity]^4)/20 - (18*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/
      3 - (257*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[2, -2, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/72 + (113*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (1775653*S[2, Infinity]^4)/336000 + 
   ((101*S[-1, Infinity]^2)/16 - (125*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((841*S[-1, Infinity]*S[2, Infinity])/32 - (1479*S[3, Infinity])/256)*
    S[5, Infinity] - (397*S[-1, Infinity]*S[7, Infinity])/128 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/48 + (17*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*(-S[-1, Infinity]^6/6 + 6*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (4480*S[-7, -1, Infinity] + 121*S[5, 3, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/120 + 
     (15*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (1629*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[2, -2, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (141*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (96149*S[2, Infinity]^4)/22400 + ((-49*S[-1, Infinity]^2)/8 - 
     (161*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   (595*S[3, Infinity]*S[5, Infinity])/64 + S[2, Infinity]^2*
    ((7*S[-1, Infinity]^4)/80 - (141*S[-1, 1, 1, 1, Infinity])/10) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/12 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (987*S[-1, Infinity]*S[2, Infinity]^2)/80 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^6/6 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (119*S[5, 3, Infinity] - 512*S[-1, 1, 1, 1, Infinity]^2)/64, 
 S[2, -2, -2, -2, Infinity] -> S[-1, Infinity]^8/72 + 
   (133*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (405337*S[2, Infinity]^4)/
    112000 + ((89*S[-1, Infinity]^2)/8 + (293*S[2, Infinity])/64)*
    S[3, Infinity]^2 + (-(S[-1, Infinity]*S[2, Infinity])/2 + 
     (1575*S[3, Infinity])/64)*S[5, Infinity] - 
   (893*S[-1, Infinity]*S[7, Infinity])/16 - 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    3 + S[2, Infinity]^2*((17*S[-1, Infinity]^4)/80 + 
     (69*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - 16*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-697*S[5, 3, Infinity] - 2560*S[-5, -1, -1, -1, Infinity] + 
     2560*S[-5, -1, 1, 1, Infinity] + 2560*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/60 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (911*S[-1, Infinity]*S[2, Infinity]^2)/80 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -2, -3, 1, Infinity] -> S[-1, Infinity]^8/144 + 
   (73*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (5541*S[2, Infinity]^4)/
    2240 + ((49*S[-1, Infinity]^2)/16 + (49*S[2, Infinity])/16)*
    S[3, Infinity]^2 - (2985*S[3, Infinity]*S[5, Infinity])/256 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((47*S[-1, Infinity]^4)/480 + 
     (73*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/24 + (7*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (511*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-821*S[5, 3, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2)/256, S[2, -2, -3, -1, Infinity] -> 
  (-141*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (115863*S[2, Infinity]^4)/784000 + 
   ((-17*S[-1, Infinity]^2)/16 + (405*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-581*S[-1, Infinity]*S[2, Infinity])/64 + (1977*S[3, Infinity])/448)*
    S[5, Infinity] + (3053*S[-1, Infinity]*S[7, Infinity])/112 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (39*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (24320*S[-7, -1, Infinity] - 13509*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((107*S[-1, Infinity]^4)/1680 - 
     (107*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((173*S[-1, Infinity]^5)/840 - (25*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (483*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -3, 2, 1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (485091*S[2, Infinity]^4)/
    196000 + ((25*S[-1, Infinity]^2)/14 + (4839*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-4637*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1941*S[3, Infinity])/1792)*S[5, Infinity] - 
   (23067*S[-1, Infinity]*S[7, Infinity])/896 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (307*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (20*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-26240*S[-7, -1, Infinity] - 22661*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/42 - 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (-S[-1, Infinity]^5/21 + (10*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/56 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -3, 2, -1, Infinity] -> 
  (-22*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (57391*S[2, Infinity]^4)/
    196000 + ((-145*S[-1, Infinity]^2)/56 - (795*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((60*S[-1, Infinity]*S[2, Infinity])/7 - 
     (4979*S[3, Infinity])/1792)*S[5, Infinity] - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (40*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (26240*S[-7, -1, Infinity] + 22661*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/140 - 
     (78*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/21 - (10*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (349*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -3, 1, 2, Infinity] -> 
  S[-1, Infinity]^8/72 + (29*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (55057*S[2, Infinity]^4)/12000 + 
   ((89*S[-1, Infinity]^2)/8 + (775*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-63*S[-1, Infinity]*S[2, Infinity])/64 + (5931*S[3, Infinity])/256)*
    S[5, Infinity] - (1147*S[-1, Infinity]*S[7, Infinity])/16 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 8*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/60 + 
     (26*S[-1, 1, 1, 1, Infinity])/5) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - (65*S[-5, -1, Infinity])/4 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-10240*S[-7, -1, Infinity] - 6193*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/60 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (99*S[-1, Infinity]*S[2, Infinity]^2)/10 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -3, 1, -2, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (52513*S[2, Infinity]^4)/168000 - (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 + (53*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-155*S[-1, Infinity]*S[2, Infinity])/32 - (891*S[3, Infinity])/128)*
    S[5, Infinity] - (5*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (233*S[5, 3, Infinity])/1280 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/32 - (3*S[-1, 1, 1, 1, Infinity])/4), 
 S[2, -3, -1, 2, Infinity] -> (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (2294*S[2, Infinity]^4)/2625 + (15*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 - (125*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (3359*S[3, Infinity]*S[5, Infinity])/256 - 
   (5*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (1280*S[-7, -1, Infinity] + 3599*S[5, 3, Infinity])/1280 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/60 + 
     (14*S[-1, 1, 1, 1, Infinity])/5), S[2, -3, -1, -2, Infinity] -> 
  S[-1, Infinity]^8/72 + (691*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (2264249*S[2, Infinity]^4)/2352000 + 
   ((5*S[-1, Infinity]^2)/8 - (221*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((191*S[-1, Infinity]*S[2, Infinity])/32 - (3229*S[3, Infinity])/896)*
    S[5, Infinity] - (17939*S[-1, Infinity]*S[7, Infinity])/896 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/112 + 
     (135*S[-1, 1, 1, 1, Infinity])/14) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 + (103*S[-5, -1, Infinity])/28 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-56640*S[-7, -1, Infinity] + 11041*S[5, 3, Infinity] + 
     25600*S[-5, -1, -1, -1, Infinity] - 25600*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/84 + 
     (107*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (39*S[-1, Infinity]*S[2, Infinity]^2)/10 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (80*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[2, -3, -2, 1, Infinity] -> (4223*S[2, Infinity]^4)/28000 - 
   (75*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (223*S[3, Infinity]*S[5, Infinity])/256 + (2703*S[5, 3, Infinity])/1280, 
 S[2, -3, -2, -1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (831*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (784617*S[2, Infinity]^4)/156800 + 
   ((-27*S[-1, Infinity]^2)/4 + (415*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-729*S[-1, Infinity]*S[2, Infinity])/32 + (1453*S[3, Infinity])/224)*
    S[5, Infinity] + (10939*S[-1, Infinity]*S[7, Infinity])/896 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (36*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-277*S[-1, Infinity]^4)/1680 - 
     (563*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - (41*S[-5, -1, Infinity])/14 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-6656*S[-7, -1, Infinity] + 459*S[5, 3, Infinity] + 
     1024*S[-5, -1, -1, -1, Infinity] - 1024*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((87*S[-1, Infinity]^5)/140 - 
     (163*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1739*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -4, 1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (383*S[2, Infinity]^4)/350 + 
   ((-5*S[-1, Infinity]^2)/2 - (23*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 + (535*S[-1, Infinity]*S[2, Infinity])/64 - 
     (139*S[3, Infinity])/32)*S[5, Infinity] + 
   (135*S[-1, Infinity]*S[7, Infinity])/128 + 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + (57*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   4*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (-4480*S[-7, -1, Infinity] - 607*S[5, 3, Infinity] - 
     1024*S[-5, -1, 1, 1, Infinity])/256 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/30 + (4*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/15 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 3*S[-1, Infinity]*
      S[2, Infinity]^2 - 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[2, -4, 1, -1, Infinity] -> (1489*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (501*S[2, Infinity]^4)/3136 + ((131*S[-1, Infinity]^2)/56 - 
     (27*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 + (2033*S[-1, Infinity]*S[2, Infinity])/448 + 
     (3973*S[3, Infinity])/448)*S[5, Infinity] - 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (138*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (67328*S[-7, -1, Infinity] + 7449*S[5, 3, Infinity] + 
     2048*S[-5, -1, -1, -1, Infinity] + 12288*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*(-S[-1, Infinity]^4/840 + 
     S[-1, 1, 1, 1, Infinity]/35) + S[3, Infinity]*
    ((-4*S[-1, Infinity]^5)/35 + (8*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (2097*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -4, -1, 1, Infinity] -> 
  (-1153*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (776037*S[2, Infinity]^4)/392000 + 
   ((9*S[-1, Infinity]^2)/56 + (279*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 - (409*S[-1, Infinity]*S[2, Infinity])/56 - 
     (165*S[3, Infinity])/7)*S[5, Infinity] + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (54*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-30960*S[-7, -1, Infinity] - 7381*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((29*S[-1, Infinity]^4)/840 - 
     (29*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/21 - (10*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (41*S[-1, Infinity]*S[2, Infinity]^2)/28 - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[2, -4, -1, -1, Infinity] -> 
  (-1143*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (944581*S[2, Infinity]^4)/784000 + 
   ((211*S[-1, Infinity]^2)/112 + (4159*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (3069*S[-1, Infinity]*S[2, Infinity])/224 - (5213*S[3, Infinity])/224)*
    S[5, Infinity] - (9049*S[-1, Infinity]*S[7, Infinity])/448 + 
   (36*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (170*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity]))/
    7 + (-136480*S[-7, -1, Infinity] - 31889*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/70 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 - (6*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (7823*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 5, 1, 1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (30017*S[2, Infinity]^4)/
    56000 + ((5*S[-1, Infinity]^2)/8 - (49*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 + 
     (1297*S[3, Infinity])/256)*S[5, Infinity] + 
   (635*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   3*S[2, Infinity]*S[-5, -1, Infinity] + S[-1, Infinity]*
    S[5, -1, -1, Infinity] + (10240*S[-7, -1, Infinity] + 
     2479*S[5, 3, Infinity] + 1280*S[-5, -1, -1, -1, Infinity] + 
     1280*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/120 - S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/
      6 + (161*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 5, 1, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (S[-1, Infinity]^4*S[2, Infinity]^2)/8 - 
   (93*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (4707*S[2, Infinity]^4)/
    11200 + ((27*S[-1, Infinity]^2)/64 + (149*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 - 
     (285*S[-1, Infinity]*S[2, Infinity])/32 - (1711*S[3, Infinity])/256)*
    S[5, Infinity] + (635*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (13*S[-5, -1, Infinity])/2 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-124*S[-7, -1, Infinity] - 21*S[5, 3, Infinity] - 
     16*S[-5, -1, -1, -1, Infinity] - 16*S[-5, -1, 1, 1, Infinity] - 
     16*S[-1, 1, 1, 1, Infinity]^2)/8 + S[3, Infinity]*
    ((23*S[-1, Infinity]^5)/240 - (17*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (33*S[-1, Infinity]*S[2, Infinity]^2)/16 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 5, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/288 - (21*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (133*S[2, Infinity]^4)/400 + ((-9*S[-1, Infinity]^2)/64 + 
     (69*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/16 + (99*S[-1, Infinity]*S[2, Infinity])/32 - 
     (1183*S[3, Infinity])/256)*S[5, Infinity] - 
   (1657*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   2*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/120 + 
     (2*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   2*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]*(-S[-1, Infinity]^6/24 - 
     S[-5, -1, Infinity]/2 + S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*((3*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (27*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (S[-1, Infinity]*(-S[-1, Infinity]^4/8 + 3*S[-1, 1, 1, 1, Infinity]))/
      2), S[-1, 5, -1, -1, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (361*S[2, Infinity]^4)/3200 + 
   (207*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((31*S[-1, Infinity]^3)/16 + (79*S[-1, Infinity]*S[2, Infinity])/16 - 
     2*S[3, Infinity])*S[5, Infinity] - (1657*S[-1, Infinity]*S[7, Infinity])/
    128 - 2*S[-1, Infinity]*S[5, -1, -1, Infinity], 
 S[-1, 4, 2, 1, Infinity] -> (-71*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (312423*S[2, Infinity]^4)/196000 + 
   ((-43*S[-1, Infinity]^2)/14 + (895*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (43*S[-1, Infinity]*S[2, Infinity])/56 - 
     (44829*S[3, Infinity])/1792)*S[5, Infinity] - 
   (47525*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (132*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-428160*S[-7, -1, Infinity] - 104047*S[5, 3, Infinity] - 
     58880*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/420 + 
     (38*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/210 - (19*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (3799*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (76*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 4, 2, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (431*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (110409*S[2, Infinity]^4)/392000 + 
   ((-243*S[-1, Infinity]^2)/112 + (457*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 + 
     (1299*S[-1, Infinity]*S[2, Infinity])/112 - (3153*S[3, Infinity])/896)*
    S[5, Infinity] - (47525*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((8*S[-1, Infinity]^4)/35 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (48*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (74240*S[-7, -1, Infinity] - 6287*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-25*S[-1, Infinity]^5)/168 + 
     (83*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (479*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 4, 1, 2, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (859687*S[2, Infinity]^4)/
    1176000 + ((-7*S[-1, Infinity]^2)/4 - (1697*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((183*S[-1, Infinity]*S[2, Infinity])/32 - 
     (3167*S[3, Infinity])/1792)*S[5, Infinity] + 
   (3435*S[-1, Infinity]*S[7, Infinity])/896 + 
   (163*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-16640*S[-7, -1, Infinity] + 3937*S[5, 3, Infinity] + 
     20480*S[-5, -1, -1, -1, Infinity] - 20480*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/105 + 
     (16*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((4*S[-1, Infinity]^5)/105 - (8*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (23*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 4, 1, -2, Infinity] -> 
  (-6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (606121*S[2, Infinity]^4)/
    1176000 + ((-5*S[-1, Infinity]^2)/7 + (193*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-17*S[-1, Infinity]*S[2, Infinity])/7 - 
     (9987*S[3, Infinity])/1792)*S[5, Infinity] + 
   (3435*S[-1, Infinity]*S[7, Infinity])/896 + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-8320*S[-7, -1, Infinity] + 4821*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(-S[-1, Infinity]^4/105 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/105 - (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (891*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 4, -1, 2, Infinity] -> 
  -S[-1, Infinity]^8/144 + (12*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (671567*S[2, Infinity]^4)/1176000 + 
   ((99*S[-1, Infinity]^2)/28 - (3729*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/2 + (3061*S[-1, Infinity]*S[2, Infinity])/224 + 
     (37097*S[3, Infinity])/896)*S[5, Infinity] + 
   (51235*S[-1, Infinity]*S[7, Infinity])/896 - 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-29*S[-1, Infinity]^4)/210 - 
     (94*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (216*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (849280*S[-7, -1, Infinity] + 178513*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] + 84480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-9*S[-1, Infinity]^5)/280 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (13781*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (132*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 4, -1, -2, Infinity] -> 
  (2449*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (5219681*S[2, Infinity]^4)/2352000 + 
   ((207*S[-1, Infinity]^2)/112 - (14871*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (30909*S[-1, Infinity]*S[2, Infinity])/448 + (3453*S[3, Infinity])/56)*
    S[5, Infinity] + (51235*S[-1, Infinity]*S[7, Infinity])/896 - 
   (150*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (370*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (50620*S[-7, -1, Infinity] + 10379*S[5, 3, Infinity] + 
     9120*S[-5, -1, -1, -1, Infinity] + 4320*S[-5, -1, 1, 1, Infinity])/280 + 
   S[2, Infinity]^2*((83*S[-1, Infinity]^4)/1680 - 
     (83*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-107*S[-1, Infinity]^5)/280 + (93*S[-1, Infinity]^3*S[2, Infinity])/
      28 + (29699*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 4, -2, 1, Infinity] -> 
  (-27*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (182737*S[2, Infinity]^4)/
    392000 + ((-45*S[-1, Infinity]^2)/28 + (1173*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 + 
     (39*S[-1, Infinity]*S[2, Infinity])/112 - (16379*S[3, Infinity])/1792)*
    S[5, Infinity] - (17187*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (36*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + (-136320*S[-7, -1, Infinity] - 17669*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/140 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/70 - (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (577*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 4, -2, -1, Infinity] -> 
  (-93*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (280753*S[2, Infinity]^4)/
    156800 + ((-27*S[-1, Infinity]^2)/16 + (1227*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (1933*S[-1, Infinity]*S[2, Infinity])/64 - (7773*S[3, Infinity])/448)*
    S[5, Infinity] - (17187*S[-1, Infinity]*S[7, Infinity])/1792 + 
   8*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (128*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + (-7496*S[-7, -1, Infinity] - 1571*S[5, 3, Infinity] - 
     1216*S[-5, -1, -1, -1, Infinity] - 576*S[-5, -1, 1, 1, Infinity])/112 + 
   S[2, Infinity]^2*((61*S[-1, Infinity]^4)/1680 - 
     (61*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((59*S[-1, Infinity]^5)/280 - (45*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (1009*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, 3, 1, Infinity] -> 
  (97*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - (83257*S[2, Infinity]^4)/
    49000 + ((1067*S[-1, Infinity]^2)/224 - (565*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/8 + 
     (285*S[-1, Infinity]*S[2, Infinity])/56 + (26847*S[3, Infinity])/896)*
    S[5, Infinity] + (29745*S[-1, Infinity]*S[7, Infinity])/896 - 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (206*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (12*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (668800*S[-7, -1, Infinity] + 136237*S[5, 3, Infinity] + 
     83200*S[-5, -1, -1, -1, Infinity] + 78080*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/840 - 
     (61*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-61*S[-1, Infinity]^5)/420 + (61*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (11453*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (122*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, 3, -1, Infinity] -> 
  (-807*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (58159*S[2, Infinity]^4)/112000 - (69*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/35 + ((117*S[-1, Infinity]^2)/28 - (9*S[2, Infinity])/4)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/8 - 
     (7407*S[-1, Infinity]*S[2, Infinity])/448 + (27*S[3, Infinity])/8)*
    S[5, Infinity] + (29745*S[-1, Infinity]*S[7, Infinity])/896 + 
   (6*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   6*S[2, Infinity]*S[-5, -1, Infinity] - 
   (9*(320*S[-7, -1, Infinity] + 63*S[5, 3, Infinity]))/640 - 
   (12*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7, S[-1, 3, 2, 2, Infinity] -> (5*S[-1, Infinity]^2*S[2, Infinity]^3)/
    28 - (3694079*S[2, Infinity]^4)/2352000 + 
   ((35*S[-1, Infinity]^2)/16 + (1205*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-613*S[-1, Infinity]*S[2, Infinity])/64 + (1835*S[3, Infinity])/896)*
    S[5, Infinity] - (5875*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (115*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (16000*S[-7, -1, Infinity] + 2799*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*(S[-1, Infinity]^4/42 - 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (-S[-1, Infinity]^5/21 + (10*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (23*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/144 + (33*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (588677*S[2, Infinity]^4)/294000 + 
   ((37*S[-1, Infinity]^2)/112 - (999*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((3263*S[-1, Infinity]*S[2, Infinity])/224 + (3945*S[3, Infinity])/896)*
    S[5, Infinity] - (5875*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-533*S[-1, Infinity]^4)/1680 + 
     (113*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (S[-1, Infinity]^6/12 + (71*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-28800*S[-7, -1, Infinity] + 15203*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/70 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (4927*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, 1, 3, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (37987*S[2, Infinity]^4)/
    112000 + ((3*S[-1, Infinity]^2)/8 + (129*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((47*S[-1, Infinity]*S[2, Infinity])/16 - 
     (667*S[3, Infinity])/256)*S[5, Infinity] - 
   (671*S[-1, Infinity]*S[7, Infinity])/128 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (1600*S[-7, -1, Infinity] - 221*S[5, 3, Infinity])/640 - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/80 + (S[-1, Infinity]^3*S[2, Infinity])/
      8 + (213*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[-1, 3, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/288 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (1427*S[2, Infinity]^4)/560 + ((59*S[-1, Infinity]^2)/32 + 
     (97*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-81*S[-1, Infinity]*S[2, Infinity])/8 + (659*S[3, Infinity])/64)*
    S[5, Infinity] - (671*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((91*S[-1, Infinity]^4)/480 - 
     (31*S[-1, 1, 1, 1, Infinity])/20) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - 9*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (64*S[-7, -1, Infinity] - 323*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     256*S[-1, 1, 1, 1, Infinity]^2)/128 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (35*S[-1, Infinity]*S[2, Infinity]^2)/16 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 3, -1, 3, Infinity] -> 
  (-97*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (14025*S[2, Infinity]^4)/
    6272 + ((-1791*S[-1, Infinity]^2)/224 + (4681*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/4 - 
     (411*S[-1, Infinity]*S[2, Infinity])/28 - (48787*S[3, Infinity])/896)*
    S[5, Infinity] - (56025*S[-1, Infinity]*S[7, Infinity])/896 + 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (370*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (24*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (-123008*S[-7, -1, Infinity] - 23599*S[5, 3, Infinity] - 
     16640*S[-5, -1, -1, -1, Infinity] - 15616*S[-5, -1, 1, 1, Infinity])/
    896 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/420 + 
     (122*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/35 - (18*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (18867*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, -1, -3, Infinity] -> 
  (-432*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (1085027*S[2, Infinity]^4)/
    784000 + ((-99*S[-1, Infinity]^2)/14 + (2547*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/4 - 
     (19541*S[-1, Infinity]*S[2, Infinity])/224 - (25293*S[3, Infinity])/224)*
    S[5, Infinity] - (56025*S[-1, Infinity]*S[7, Infinity])/896 + 
   (216*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (663*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (24*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (-153200*S[-7, -1, Infinity] - 29707*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity])/
    560 + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/35 + 
     (216*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((151*S[-1, Infinity]^5)/280 - (151*S[-1, Infinity]^3*S[2, Infinity])/
      28 - (46833*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (453*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, -2, 2, Infinity] -> 
  S[-1, Infinity]^8/144 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (7743377*S[2, Infinity]^4)/2352000 + 
   ((243*S[-1, Infinity]^2)/112 + (899*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-2129*S[-1, Infinity]*S[2, Infinity])/224 + 
     (24835*S[3, Infinity])/1792)*S[5, Infinity] - 
   (29307*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((589*S[-1, Infinity]^4)/1680 - 
     (169*S[-1, 1, 1, 1, Infinity])/70) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (149*S[-5, -1, Infinity])/14 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-7360*S[-7, -1, Infinity] - 10169*S[5, 3, Infinity] - 
     14720*S[-5, -1, -1, -1, Infinity] + 14720*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/210 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (503*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (92*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, -2, -2, Infinity] -> 
  (9*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (7309949*S[2, Infinity]^4)/
    2352000 + ((63*S[-1, Infinity]^2)/16 + (3057*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-589*S[-1, Infinity]*S[2, Infinity])/64 + 
     (10527*S[3, Infinity])/896)*S[5, Infinity] - 
   (29307*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (323*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (24320*S[-7, -1, Infinity] - 2981*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/70 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/35 + (6*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (513*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, -3, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 + (321*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (29697*S[2, Infinity]^4)/15680 + ((297*S[-1, Infinity]^2)/224 - 
     (1367*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (745*S[-1, Infinity]*S[2, Infinity])/112 + 
     (6611*S[3, Infinity])/896)*S[5, Infinity] + 
   (10231*S[-1, Infinity]*S[7, Infinity])/448 - 
   (16*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (6*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-481*S[-1, Infinity]^4)/3360 + 
     (61*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (8*S[-5, -1, Infinity])/7 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (4752*S[-7, -1, Infinity] + 885*S[5, 3, Infinity] + 
     1216*S[-5, -1, -1, -1, Infinity] + 128*S[-5, -1, 1, 1, Infinity] - 
     448*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/105 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (997*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 3, -3, -1, Infinity] -> 
  (201*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (173983*S[2, Infinity]^4)/
    784000 + ((9*S[-1, Infinity]^2)/7 - (207*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (7723*S[-1, Infinity]*S[2, Infinity])/224 + (3603*S[3, Infinity])/112)*
    S[5, Infinity] + (10231*S[-1, Infinity]*S[7, Infinity])/448 - 
   (66*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (228*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (6*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (436160*S[-7, -1, Infinity] + 85801*S[5, 3, Infinity] + 
     61440*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/35 - 
     (72*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-6*S[-1, Infinity]^5)/35 + (12*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (993*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (144*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 4, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + 
   (52293*S[2, Infinity]^4)/78400 + ((-11*S[-1, Infinity]^2)/14 + 
     (289*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (53*S[-1, Infinity]*S[2, Infinity])/56 - 
     (10197*S[3, Infinity])/896)*S[5, Infinity] - 
   (47525*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/70 + (198*S[-1, 1, 1, 1, Infinity])/
      35) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + 
     (144*S[-5, -1, Infinity])/7 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-89344*S[-7, -1, Infinity] - 
     13809*S[5, 3, Infinity] - 10240*S[-5, -1, -1, -1, Infinity] - 
     11264*S[-5, -1, 1, 1, Infinity] + 7168*S[-1, 1, 1, 1, Infinity]^2)/
    1792 + S[3, Infinity]*((-157*S[-1, Infinity]^5)/840 + 
     (59*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (759*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 4, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 + (181*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (273649*S[2, Infinity]^4)/392000 + 
   ((-18*S[-1, Infinity]^2)/7 + (13*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 + (9323*S[-1, Infinity]*S[2, Infinity])/448 - 
     (1597*S[3, Infinity])/224)*S[5, Infinity] - 
   (47525*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (15*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/105 - 
     (74*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (8*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (96000*S[-7, -1, Infinity] + 20147*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*(S[-1, Infinity]^5/42 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (4113*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 3, 2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (79*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (41317*S[2, Infinity]^4)/48000 + 
   (-5*S[-1, Infinity]^2 - (65*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-391*S[-1, Infinity]*S[2, Infinity])/64 + (443*S[3, Infinity])/128)*
    S[5, Infinity] + (2105*S[-1, Infinity]*S[7, Infinity])/128 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/80 - 
     (51*S[-1, 1, 1, 1, Infinity])/10) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/12 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (32*S[-1, Infinity]*S[2, Infinity]^2)/5 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^6/6 + 
     (5*S[-5, -1, Infinity])/2 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-2880*S[-7, -1, Infinity] - 
     1541*S[5, 3, Infinity] - 5120*S[-1, 1, 1, 1, Infinity]^2)/640, 
 S[-1, 2, 3, -2, Infinity] -> (-37*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (354773*S[2, Infinity]^4)/336000 + 
   ((-5*S[-1, Infinity]^2)/2 + (53*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-553*S[-1, Infinity]*S[2, Infinity])/64 - 17*S[3, Infinity])*
    S[5, Infinity] + (2105*S[-1, Infinity]*S[7, Infinity])/128 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 3*S[2, Infinity]*
    S[-5, -1, Infinity] + 4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + (-3520*S[-7, -1, Infinity] + 
     1247*S[5, 3, Infinity] + 2560*S[-5, -1, -1, -1, Infinity] - 
     2560*S[-5, -1, 1, 1, Infinity])/640 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/48 - S[-1, 1, 1, 1, Infinity]/2) + 
   S[3, Infinity]*(S[-1, Infinity]^5/15 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (249*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, 2, 3, Infinity] -> 
  (83*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (895271*S[2, Infinity]^4)/
    784000 + ((-35*S[-1, Infinity]^2)/16 - (571*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((43*S[-1, Infinity]*S[2, Infinity])/8 - 
     (5111*S[3, Infinity])/896)*S[5, Infinity] + 
   (13981*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (54*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-24960*S[-7, -1, Infinity] + 5027*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-173*S[-1, Infinity]^4)/1680 + 
     (173*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-23*S[-1, Infinity]^5)/840 - (19*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (67*S[-1, Infinity]*S[2, Infinity]^2)/40 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (82*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, 2, -3, Infinity] -> S[-1, Infinity]^8/144 + 
   (3*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (1373307*S[2, Infinity]^4)/
    392000 + ((-163*S[-1, Infinity]^2)/112 - (149*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((5381*S[-1, Infinity]*S[2, Infinity])/448 - 
     (5931*S[3, Infinity])/448)*S[5, Infinity] + 
   (13981*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((6*S[-1, Infinity]^4)/35 + (66*S[-1, 1, 1, 1, Infinity])/
      35) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + 
     (48*S[-5, -1, Infinity])/7 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (55680*S[-7, -1, Infinity] + 
     15681*S[5, 3, Infinity] + 48640*S[-5, -1, -1, -1, Infinity] - 
     48640*S[-5, -1, 1, 1, Infinity] + 35840*S[-1, 1, 1, 1, Infinity]^2)/
    8960 + S[3, Infinity]*((-17*S[-1, Infinity]^5)/168 + 
     (43*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (33*S[-1, Infinity]*S[2, Infinity]^2)/14 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (20*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, 1, 4, Infinity] -> (227*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2014813*S[2, Infinity]^4)/1176000 + 
   ((7*S[-1, Infinity]^2)/4 + (481*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-15*S[-1, Infinity]*S[2, Infinity])/4 + (2103*S[3, Infinity])/224)*
    S[5, Infinity] - (4689*S[-1, Infinity]*S[7, Infinity])/448 - 
   (71*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-1280*S[-7, -1, Infinity] - 4413*S[5, 3, Infinity] - 
     20480*S[-5, -1, -1, -1, Infinity] + 20480*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/3360 + 
     (83*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((-4*S[-1, Infinity]^5)/105 + (8*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (123*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, 1, -4, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (456917*S[2, Infinity]^4)/
    588000 + ((5*S[-1, Infinity]^2)/7 + (143*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-417*S[-1, Infinity]*S[2, Infinity])/448 + 
     (1133*S[3, Infinity])/896)*S[5, Infinity] - 
   (4689*S[-1, Infinity]*S[7, Infinity])/448 - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-32000*S[-7, -1, Infinity] - 5059*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((5*S[-1, Infinity]^4)/84 - 
     (10*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/105 + (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (59*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, -1, 4, Infinity] -> 
  -S[-1, Infinity]^8/144 + (33*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (81119*S[2, Infinity]^4)/33600 + ((117*S[-1, Infinity]^2)/28 - 
     (367*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/2 - (837*S[-1, Infinity]*S[2, Infinity])/224 + 
     (3045*S[3, Infinity])/128)*S[5, Infinity] + 
   (44963*S[-1, Infinity]*S[7, Infinity])/896 - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*(-S[-1, Infinity]^4/30 - 
     (26*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - 40*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (22912*S[-7, -1, Infinity] + 4005*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 3584*S[-5, -1, 1, 1, Infinity] - 
     1024*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*(S[-1, Infinity]^5/40 + (S[-1, Infinity]^3*S[2, Infinity])/
      4 + (5653*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, -1, -4, Infinity] -> 
  (2323*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (903607*S[2, Infinity]^4)/2352000 + 
   ((207*S[-1, Infinity]^2)/112 - (15123*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (30237*S[-1, Infinity]*S[2, Infinity])/448 + (70711*S[3, Infinity])/896)*
    S[5, Infinity] + (44963*S[-1, Infinity]*S[7, Infinity])/896 - 
   (150*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (370*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (12655*S[-7, -1, Infinity] + 2712*S[5, 3, Infinity] + 
     2280*S[-5, -1, -1, -1, Infinity] + 1080*S[-5, -1, 1, 1, Infinity])/70 + 
   S[2, Infinity]^2*((251*S[-1, Infinity]^4)/1680 - 
     (251*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/56 + (79*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (33661*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (300*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, -2, 3, Infinity] -> 
  S[-1, Infinity]^8/144 + (41*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (470059*S[2, Infinity]^4)/392000 + 
   ((327*S[-1, Infinity]^2)/112 + (75*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-1409*S[-1, Infinity]*S[2, Infinity])/448 + (2077*S[3, Infinity])/448)*
    S[5, Infinity] - (41361*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/21 + (2*S[-1, 1, 1, 1, Infinity])/
      7) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (36*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-42880*S[-7, -1, Infinity] - 13117*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-169*S[-1, Infinity]^5)/840 + 
     (127*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (86*S[-1, Infinity]*S[2, Infinity]^2)/35 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (64*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, -2, -3, Infinity] -> (223*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1944699*S[2, Infinity]^4)/784000 + 
   ((21*S[-1, Infinity]^2)/4 + (195*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-55*S[-1, Infinity]*S[2, Infinity])/8 + (4427*S[3, Infinity])/448)*
    S[5, Infinity] - (41361*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (72*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-7040*S[-7, -1, Infinity] - 14013*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/1680 + 
     (61*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/70 + (19*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (217*S[-1, Infinity]*S[2, Infinity]^2)/80 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (51*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, -3, 2, Infinity] -> (-19*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (1160293*S[2, Infinity]^4)/588000 + 
   ((25*S[-1, Infinity]^2)/14 + (673*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-157*S[-1, Infinity]*S[2, Infinity])/448 + (7513*S[3, Infinity])/1792)*
    S[5, Infinity] - (16445*S[-1, Infinity]*S[7, Infinity])/896 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (115*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (20*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (67840*S[-7, -1, Infinity] - 1871*S[5, 3, Infinity] - 
     25600*S[-5, -1, -1, -1, Infinity] + 25600*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((59*S[-1, Infinity]^4)/420 - 
     (118*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/21 + (10*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (211*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 2, -3, -2, Infinity] -> 
  S[-1, Infinity]^8/72 + (751*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (3958961*S[2, Infinity]^4)/2352000 + 
   ((13*S[-1, Infinity]^2)/4 - (1753*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((965*S[-1, Infinity]*S[2, Infinity])/64 + (2823*S[3, Infinity])/896)*
    S[5, Infinity] - (16445*S[-1, Infinity]*S[7, Infinity])/896 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (20*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((71*S[-1, Infinity]^4)/560 + 
     (627*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 + (163*S[-5, -1, Infinity])/28 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-19520*S[-7, -1, Infinity] + 8559*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-229*S[-1, Infinity]^5)/420 + 
     (131*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (551*S[-1, Infinity]*S[2, Infinity]^2)/80 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (32*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, 2, -4, 1, Infinity] -> (-11*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (4083*S[2, Infinity]^4)/4000 + ((-5*S[-1, Infinity]^2)/2 + 
     (13*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/12 - (63*S[-1, Infinity]*S[2, Infinity])/64 - 
     (609*S[3, Infinity])/32)*S[5, Infinity] - 
   (1065*S[-1, Infinity]*S[7, Infinity])/256 + 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 8*S[2, Infinity]*S[-5, -1, Infinity] + 
   4*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (-22400*S[-7, -1, Infinity] - 2279*S[5, 3, Infinity] - 
     5120*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/20 - (6*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/15 - 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (173*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 2, -4, -1, Infinity] -> 
  (-1037*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1883167*S[2, Infinity]^4)/784000 + 
   ((-389*S[-1, Infinity]^2)/112 + (2433*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/12 - 
     (17133*S[-1, Infinity]*S[2, Infinity])/448 - (11213*S[3, Infinity])/896)*
    S[5, Infinity] - (1065*S[-1, Infinity]*S[7, Infinity])/256 + 
   (66*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (128*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (-165600*S[-7, -1, Infinity] - 31637*S[5, 3, Infinity] - 
     24320*S[-5, -1, -1, -1, Infinity] - 11520*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/1680 + 
     (37*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((317*S[-1, Infinity]^5)/840 - (73*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (16427*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 5, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - S[-1, Infinity]^2*S[2, Infinity]^3 - 
   (329*S[2, Infinity]^4)/2000 + ((-7*S[-1, Infinity]^2)/8 + 
     (13*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 - (95*S[-1, Infinity]*S[2, Infinity])/32 - 
     (1061*S[3, Infinity])/256)*S[5, Infinity] + 
   (635*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]*S[5, -1, -1, Infinity] + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/30 - (11*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/48 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (59*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-5, -1, Infinity]/2 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (800*S[-7, -1, Infinity] - 79*S[5, 3, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2)/320, S[-1, 1, 5, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (641*S[2, Infinity]^4)/2000 + ((-9*S[-1, Infinity]^2)/32 - 
     (67*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/48 + (45*S[-1, Infinity]*S[2, Infinity])/64 + 
     (1795*S[3, Infinity])/256)*S[5, Infinity] + 
   (635*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[-1, Infinity]*S[5, -1, -1, Infinity] + S[2, Infinity]^2*
    ((11*S[-1, Infinity]^4)/120 + (4*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (11*S[-5, -1, Infinity])/2 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (8640*S[-7, -1, Infinity] + 1743*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/
      3 + (261*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, 4, 2, Infinity] -> 
  S[-1, Infinity]^8/144 + (2497*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (33763*S[2, Infinity]^4)/98000 + ((243*S[-1, Infinity]^2)/56 - 
     (5961*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (5925*S[-1, Infinity]*S[2, Infinity])/448 + 
     (31139*S[3, Infinity])/1792)*S[5, Infinity] + 
   (5095*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (46*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((659*S[-1, Infinity]^4)/3360 + 
     (181*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (555*S[-5, -1, Infinity])/28 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (428800*S[-7, -1, Infinity] + 85579*S[5, 3, Infinity] + 
     51200*S[-5, -1, -1, -1, Infinity] + 56320*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-111*S[-1, Infinity]^5)/280 + 
     (235*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (2573*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 4, -2, Infinity] -> 
  (2663*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (7221*S[2, Infinity]^4)/24500 + ((353*S[-1, Infinity]^2)/112 - 
     (3131*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/6 + (3127*S[-1, Infinity]*S[2, Infinity])/224 + 
     (21047*S[3, Infinity])/896)*S[5, Infinity] + 
   (5095*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (141*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + (263040*S[-7, -1, Infinity] + 34927*S[5, 3, Infinity] + 
     15360*S[-5, -1, -1, -1, Infinity] + 56320*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((17*S[-1, Infinity]^4)/672 - 
     (17*S[-1, 1, 1, 1, Infinity])/28) + S[3, Infinity]*
    ((-11*S[-1, Infinity]^5)/105 + (22*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (709*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 3, 3, Infinity] -> 
  (-247*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (951857*S[2, Infinity]^4)/
    1176000 + ((-1303*S[-1, Infinity]^2)/448 + (2239*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/16 - 
     (128*S[-1, Infinity]*S[2, Infinity])/7 - (24775*S[3, Infinity])/896)*
    S[5, Infinity] - (6101*S[-1, Infinity]*S[7, Infinity])/448 + 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (761*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    7 + (-624000*S[-7, -1, Infinity] - 128103*S[5, 3, Infinity] - 
     83200*S[-5, -1, -1, -1, Infinity] - 78080*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/1120 + 
     (111*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/210 - 
     (143*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (2545*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (223*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, 1, 3, -3, Infinity] -> 
  -S[-1, Infinity]^8/288 - (219*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (703999*S[2, Infinity]^4)/1176000 + 
   ((-217*S[-1, Infinity]^2)/64 + (2363*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (329*S[-1, Infinity]*S[2, Infinity])/16 - (5269*S[3, Infinity])/224)*
    S[5, Infinity] - (6101*S[-1, Infinity]*S[7, Infinity])/448 + 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/420 + 
     (29*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (151*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-3145*S[-7, -1, Infinity] - 533*S[5, 3, Infinity] - 
     410*S[-5, -1, -1, -1, Infinity] - 430*S[-5, -1, 1, 1, Infinity] - 
     140*S[-1, 1, 1, 1, Infinity]^2)/70 + S[3, Infinity]*
    ((61*S[-1, Infinity]^5)/336 - (263*S[-1, Infinity]^3*S[2, Infinity])/
      168 - (567*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (100*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 2, 4, Infinity] -> 
  (1619*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (252349*S[2, Infinity]^4)/1176000 + 
   ((481*S[-1, Infinity]^2)/224 - (4997*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 + 
     (755*S[-1, Infinity]*S[2, Infinity])/56 + (10357*S[3, Infinity])/896)*
    S[5, Infinity] + (20793*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (521*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (4*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 + (472960*S[-7, -1, Infinity] + 87989*S[5, 3, Infinity] + 
     58880*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((299*S[-1, Infinity]^4)/3360 - 
     (299*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-97*S[-1, Infinity]^5)/840 + 
     (97*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (9391*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (97*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 2, -4, Infinity] -> 
  (437*S[-1, Infinity]^2*S[2, Infinity]^3)/336 - (994163*S[2, Infinity]^4)/
    1176000 + ((163*S[-1, Infinity]^2)/56 - (3471*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/6 + 
     (261*S[-1, Infinity]*S[2, Infinity])/28 + (45971*S[3, Infinity])/1792)*
    S[5, Infinity] + (20793*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (143*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (4*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 + (264960*S[-7, -1, Infinity] + 37847*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] + 61440*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/140 - 
     (6*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-17*S[-1, Infinity]^5)/210 + (17*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (279*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (68*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, 1, 5, Infinity] -> 
  (-61*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (7867*S[2, Infinity]^4)/28000 + ((-55*S[-1, Infinity]^2)/64 + 
     (29*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((109*S[-1, Infinity]^3)/96 - (79*S[-1, Infinity]*S[2, Infinity])/32 - 
     (363*S[3, Infinity])/256)*S[5, Infinity] - 
   (247*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (15*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (-12800*S[-7, -1, Infinity] - 2037*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/480 + 
     (11*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    ((7*S[-1, Infinity]^5)/240 - (7*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (317*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2), S[-1, 1, 1, -5, Infinity] -> 
  (-61*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (603*S[2, Infinity]^4)/800 + 
   (-S[-1, Infinity]^2 + (21*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((109*S[-1, Infinity]^3)/96 - (79*S[-1, Infinity]*S[2, Infinity])/32 - 
     (1237*S[3, Infinity])/128)*S[5, Infinity] - 
   (247*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 5*S[2, Infinity]*
    S[-5, -1, Infinity] + S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (-1472*S[-7, -1, Infinity] - 201*S[5, 3, Infinity] - 
     384*S[-5, -1, 1, 1, Infinity])/128 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/120 + S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/
      3 - (27*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, -1, 5, Infinity] -> 
  S[-1, Infinity]^8/288 + (4*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (6477*S[2, Infinity]^4)/7000 + ((9*S[-1, Infinity]^2)/32 + 
     (17*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((57*S[-1, Infinity]^3)/32 + (13*S[-1, Infinity]*S[2, Infinity])/4 - 
     (137*S[3, Infinity])/256)*S[5, Infinity] - 
   (761*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   2*S[-1, Infinity]*S[5, -1, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/120 + (8*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*(-S[-1, Infinity]^5/16 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (23*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + (13*S[-5, -1, Infinity])/2 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-7040*S[-7, -1, Infinity] - 1901*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640, S[-1, 1, -1, -5, Infinity] -> 
  (-87*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1413*S[2, Infinity]^4)/28000 + ((27*S[-1, Infinity]^2)/64 + 
     (201*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((57*S[-1, Infinity]^3)/32 - (257*S[-1, Infinity]*S[2, Infinity])/64 - 
     (607*S[3, Infinity])/64)*S[5, Infinity] - 
   (761*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   2*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   (-6080*S[-7, -1, Infinity] - 1651*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity])/640 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/96 + S[-1, 1, 1, 1, Infinity]/4) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/80 + 
     (S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (293*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, -2, 4, Infinity] -> 
  (-269*S[-1, Infinity]^2*S[2, Infinity]^3)/420 + 
   (145301*S[2, Infinity]^4)/235200 + 
   ((-291*S[-1, Infinity]^2)/112 + (2963*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 - 
     (995*S[-1, Infinity]*S[2, Infinity])/112 - (30649*S[3, Infinity])/1792)*
    S[5, Infinity] - (17481*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (141*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + (-54400*S[-7, -1, Infinity] - 7187*S[5, 3, Infinity] - 
     3072*S[-5, -1, -1, -1, Infinity] - 11264*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/210 + 
     (44*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/14 - (5*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/56 - 
     (60*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -2, -4, Infinity] -> 
  (-823*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + 
   (277217*S[2, Infinity]^4)/2352000 + 
   ((-15*S[-1, Infinity]^2)/8 + (5805*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 - (453*S[-1, Infinity]*S[2, Infinity])/32 - 
     (16631*S[3, Infinity])/896)*S[5, Infinity] - 
   (17481*S[-1, Infinity]*S[7, Infinity])/1792 + 
   6*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (491*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + (-54240*S[-7, -1, Infinity] - 11293*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] - 5760*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/70 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((31*S[-1, Infinity]^5)/280 - (31*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (1407*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (93*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -3, 3, Infinity] -> 
  -S[-1, Infinity]^8/288 + (73*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (143789*S[2, Infinity]^4)/1176000 + 
   ((15*S[-1, Infinity]^2)/8 - (5125*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 + (293*S[-1, Infinity]*S[2, Infinity])/16 + 
     (11399*S[3, Infinity])/448)*S[5, Infinity] + 
   (1285*S[-1, Infinity]*S[7, Infinity])/56 - 
   (11*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (6*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/35 - 
     (57*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - (137*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (196800*S[-7, -1, Infinity] + 37927*S[5, 3, Infinity] + 
     26240*S[-5, -1, -1, -1, Infinity] + 27520*S[-5, -1, 1, 1, Infinity] - 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/1680 + 
     (53*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (847*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (58*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -3, -3, Infinity] -> 
  (391*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (345601*S[2, Infinity]^4)/
    1176000 + ((561*S[-1, Infinity]^2)/448 - (9789*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]^3)/16 + 
     (4033*S[-1, Infinity]*S[2, Infinity])/224 + (44573*S[3, Infinity])/1792)*
    S[5, Infinity] + (1285*S[-1, Infinity]*S[7, Infinity])/56 - 
   (54*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (719*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (6*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (650880*S[-7, -1, Infinity] + 131449*S[5, 3, Infinity] + 
     92160*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((349*S[-1, Infinity]^4)/3360 - 
     (349*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-51*S[-1, Infinity]^5)/560 + 
     (65*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (10877*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (129*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -4, 2, Infinity] -> 
  (-11*S[-1, Infinity]^2*S[2, Infinity]^3)/12 + (18801*S[2, Infinity]^4)/
    12250 + ((-97*S[-1, Infinity]^2)/28 + (321*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/6 - 
     (2021*S[-1, Infinity]*S[2, Infinity])/224 - (9055*S[3, Infinity])/448)*
    S[5, Infinity] + (685*S[-1, Infinity]*S[7, Infinity])/256 + 
   (32*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (96*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*S[-5, 1, 1, Infinity] + 
   (-273920*S[-7, -1, Infinity] - 38379*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 61440*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-97*S[-1, Infinity]^4)/840 + 
     (97*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((4*S[-1, Infinity]^5)/35 - (8*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (111*S[-1, Infinity]*S[2, Infinity]^2)/28 - 
     (96*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -4, -2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (3053*S[-1, Infinity]^2*S[2, Infinity]^3)/840 + 
   (90819*S[2, Infinity]^4)/196000 + ((-1033*S[-1, Infinity]^2)/224 + 
     (389*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/8 - (6827*S[-1, Infinity]*S[2, Infinity])/448 - 
     (43623*S[3, Infinity])/1792)*S[5, Infinity] + 
   (685*S[-1, Infinity]*S[7, Infinity])/256 + 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*S[-5, 1, 1, Infinity] + S[2, Infinity]^2*
    ((-143*S[-1, Infinity]^4)/1120 - (411*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (134*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-391680*S[-7, -1, Infinity] - 81551*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((337*S[-1, Infinity]^5)/840 - 
     (239*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (2917*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (92*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, 1, -5, 1, Infinity] -> 
  (9*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (14941*S[2, Infinity]^4)/
    28000 + ((13*S[-1, Infinity]^2)/8 - (9*S[2, Infinity])/4)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 + 
     (15*S[-1, Infinity]*S[2, Infinity])/8 + (1601*S[3, Infinity])/128)*
    S[5, Infinity] + (121*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   6*S[2, Infinity]*S[-5, -1, Infinity] - 2*S[-1, Infinity]*
    S[-5, 1, 1, Infinity] + 
   (3*(1120*S[-7, -1, Infinity] + 127*S[5, 3, Infinity] + 
      320*S[-5, -1, 1, 1, Infinity]))/320 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/60 + (2*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/
      2 + (11*S[-1, Infinity]*S[2, Infinity]^2)/5 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-1, 1, -5, -1, Infinity] -> 
  (19*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (23201*S[2, Infinity]^4)/
    28000 + ((151*S[-1, Infinity]^2)/64 - (27*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/96 + 
     (337*S[-1, Infinity]*S[2, Infinity])/64 - (215*S[3, Infinity])/128)*
    S[5, Infinity] + (121*S[-1, Infinity]*S[7, Infinity])/128 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   S[2, Infinity]*S[-5, -1, Infinity] - 2*S[-1, Infinity]*
    S[-5, 1, 1, Infinity] + (2240*S[-7, -1, Infinity] + 
     369*S[5, 3, Infinity] + 320*S[-5, -1, -1, -1, Infinity])/320 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/96 + S[-1, 1, 1, 1, Infinity]/4) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/48 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (409*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[-1, -1, 5, 1, Infinity] -> (7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (22493*S[2, Infinity]^4)/56000 + 
   ((3*S[-1, Infinity]^2)/8 + (3*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/24 - (15*S[-1, Infinity]*S[2, Infinity])/16 - 
     (617*S[3, Infinity])/256)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   3*S[2, Infinity]*S[-5, -1, Infinity] + S[-1, Infinity]*
    S[5, -1, -1, Infinity] + (2560*S[-7, -1, Infinity] + 
     939*S[5, 3, Infinity] + 1280*S[-5, -1, -1, -1, Infinity] + 
     1280*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/120 - S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/60 + (S[-1, Infinity]^3*S[2, Infinity])/
      6 + (13*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, 5, -1, Infinity] -> 
  (43*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (143597*S[2, Infinity]^4)/
    112000 - (361*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/160 + 
   ((-9*S[-1, Infinity]^2)/64 + (15*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/32 - (191*S[-1, Infinity]*S[2, Infinity])/32 + 
     (647*S[3, Infinity])/128)*S[5, Infinity] - 
   (3*(2240*S[-7, -1, Infinity] + 183*S[5, 3, Infinity]))/640 + 
   S[-1, Infinity]*S[5, -1, -1, Infinity], S[-1, -1, 4, 2, Infinity] -> 
  (-221*S[-1, Infinity]^2*S[2, Infinity]^3)/210 - 
   (260557*S[2, Infinity]^4)/588000 + 
   ((-18*S[-1, Infinity]^2)/7 + (1837*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (275*S[-1, Infinity]*S[2, Infinity])/112 - 
     (12923*S[3, Infinity])/1792)*S[5, Infinity] - 
   (44165*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (27*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (229*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-387840*S[-7, -1, Infinity] - 59009*S[5, 3, Infinity] - 
     58880*S[-5, -1, -1, -1, Infinity] - 48640*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/420 + 
     (38*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((19*S[-1, Infinity]^5)/210 - (19*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (617*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (76*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 4, -2, Infinity] -> 
  (-3961*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (137887*S[2, Infinity]^4)/94080 + 
   ((-21*S[-1, Infinity]^2)/32 + (10439*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/24 - 
     (665*S[-1, Infinity]*S[2, Infinity])/32 - (16239*S[3, Infinity])/896)*
    S[5, Infinity] - (44165*S[-1, Infinity]*S[7, Infinity])/1792 + 
   6*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (435*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-50560*S[-7, -1, Infinity] - 10587*S[5, 3, Infinity] - 
     9728*S[-5, -1, -1, -1, Infinity] - 4608*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/70 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 - (6*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (1123*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 3, 3, Infinity] -> 
  (501*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (7643*S[2, Infinity]^4)/14700 + ((927*S[-1, Infinity]^2)/224 - 
     (2169*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/8 + (1287*S[-1, Infinity]*S[2, Infinity])/224 + 
     (10683*S[3, Infinity])/448)*S[5, Infinity] + 
   (12699*S[-1, Infinity]*S[7, Infinity])/448 - 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 - 
   (171*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (12*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (110464*S[-7, -1, Infinity] + 22101*S[5, 3, Infinity] + 
     16640*S[-5, -1, -1, -1, Infinity] + 15616*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/840 - 
     (61*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/70 + (9*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1893*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 3, -3, Infinity] -> 
  (1913*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (606101*S[2, Infinity]^4)/2352000 + 
   ((225*S[-1, Infinity]^2)/64 - (6953*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/16 + 
     (1743*S[-1, Infinity]*S[2, Infinity])/64 + (66013*S[3, Infinity])/1792)*
    S[5, Infinity] + (12699*S[-1, Infinity]*S[7, Infinity])/448 - 
   9*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (407*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (12*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (404800*S[-7, -1, Infinity] + 79361*S[5, 3, Infinity] + 
     61440*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/35 - 
     (72*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-103*S[-1, Infinity]^5)/560 + (103*S[-1, Infinity]^3*S[2, Infinity])/
      56 + (267*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     (309*S[-1, 1, 1, 1, 1, Infinity])/14), S[-1, -1, 2, 4, Infinity] -> 
  S[-1, Infinity]^8/144 - (143*S[-1, Infinity]^2*S[2, Infinity]^3)/420 + 
   (665211*S[2, Infinity]^4)/392000 + 
   ((-9*S[-1, Infinity]^2)/7 + (2031*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (499*S[-1, Infinity]*S[2, Infinity])/224 - 
     (18975*S[3, Infinity])/896)*S[5, Infinity] - 
   (56709*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (24*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((31*S[-1, Infinity]^4)/210 + 
     (86*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + (109*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-406400*S[-7, -1, Infinity] - 86587*S[5, 3, Infinity] - 
     51200*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-73*S[-1, Infinity]^5)/840 + 
     (31*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (439*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, 2, -4, Infinity] -> 
  (-433*S[-1, Infinity]^2*S[2, Infinity]^3)/210 - 
   (1004093*S[2, Infinity]^4)/784000 + 
   ((-9*S[-1, Infinity]^2)/16 + (5125*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]^3)/24 - (1255*S[-1, Infinity]*S[2, Infinity])/64 - 
     (9761*S[3, Infinity])/448)*S[5, Infinity] - 
   (56709*S[-1, Infinity]*S[7, Infinity])/1792 + 
   6*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (235*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-284160*S[-7, -1, Infinity] - 59431*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-361*S[-1, Infinity]^4)/3360 + 
     (361*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/280 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (677*S[-1, Infinity]*S[2, Infinity]^2)/80 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (114*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, 1, 5, Infinity] -> -S[-1, Infinity]^8/288 - 
   (S[-1, Infinity]^4*S[2, Infinity]^2)/8 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1361*S[2, Infinity]^4)/14000 + ((-3*S[-1, Infinity]^2)/8 - 
     (89*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-77*S[-1, Infinity]^3)/96 - (25*S[-1, Infinity]*S[2, Infinity])/16 + 
     (993*S[3, Infinity])/256)*S[5, Infinity] + 
   7*S[-1, Infinity]*S[7, Infinity] + (S[-1, Infinity]^2*S[-5, -1, Infinity])/
    2 + S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 2*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1120*S[-7, -1, Infinity] - 17*S[5, 3, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/240 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/10 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -1, 1, -5, Infinity] -> 
  (-293*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (277*S[2, Infinity]^4)/3500 + ((-33*S[-1, Infinity]^2)/64 - 
     (97*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((-77*S[-1, Infinity]^3)/96 + (5*S[-1, Infinity]*S[2, Infinity])/64 - 
     (269*S[3, Infinity])/256)*S[5, Infinity] + 
   7*S[-1, Infinity]*S[7, Infinity] - (3*S[2, Infinity]*S[-5, -1, Infinity])/
    4 + S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   (4480*S[-7, -1, Infinity] + 947*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity])/640 + S[2, Infinity]^2*
    ((13*S[-1, Infinity]^4)/240 - (13*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*(S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/
      4 - (7*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[-1, -1, -1, 5, Infinity] -> 
  (-111*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2557*S[2, Infinity]^4)/3200 + (113*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/160 + ((9*S[-1, Infinity]^2)/64 - 
     (15*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]^3)/32 + (17*S[-1, Infinity]*S[2, Infinity])/32 + 
     (233*S[3, Infinity])/64)*S[5, Infinity] - 
   (315*S[-1, Infinity]*S[7, Infinity])/64, S[-1, -1, -1, -5, Infinity] -> 
  (-17*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1713*S[2, Infinity]^4)/7000 - (217*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/160 + ((9*S[-1, Infinity]^2)/32 + 
     (57*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]^3)/32 - (175*S[-1, Infinity]*S[2, Infinity])/32 - 
     (267*S[3, Infinity])/128)*S[5, Infinity] - 
   (315*S[-1, Infinity]*S[7, Infinity])/64 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-6720*S[-7, -1, Infinity] - 981*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity])/640, S[-1, -1, -2, 4, Infinity] -> 
  (3397*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 + 
   (62929*S[2, Infinity]^4)/784000 + 
   ((21*S[-1, Infinity]^2)/32 - (5391*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-155*S[-1, Infinity]^3)/24 + (1275*S[-1, Infinity]*S[2, Infinity])/64 + 
     (12869*S[3, Infinity])/448)*S[5, Infinity] + 
   (48099*S[-1, Infinity]*S[7, Infinity])/1792 - 
   6*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (235*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (284160*S[-7, -1, Infinity] + 62903*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((107*S[-1, Infinity]^4)/1680 - 
     (107*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/280 + (17*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (39*S[-1, Infinity]*S[2, Infinity]^2)/4 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (114*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -1, -2, -4, Infinity] -> -S[-1, Infinity]^8/144 + 
   (601*S[-1, Infinity]^2*S[2, Infinity]^3)/1680 - 
   (90187*S[2, Infinity]^4)/78400 + ((159*S[-1, Infinity]^2)/112 - 
     (1661*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 + (167*S[-1, Infinity]*S[2, Infinity])/224 + 
     (13303*S[3, Infinity])/896)*S[5, Infinity] + 
   (48099*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/21 - 
     (26*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (113*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (72064*S[-7, -1, Infinity] + 14395*S[5, 3, Infinity] + 
     9728*S[-5, -1, -1, -1, Infinity] + 11776*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/280 - 
     (9*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (963*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -3, 3, Infinity] -> 
  (-395*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (416459*S[2, Infinity]^4)/2352000 + 
   ((-207*S[-1, Infinity]^2)/64 + (7359*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((155*S[-1, Infinity]^3)/16 - 
     (1703*S[-1, Infinity]*S[2, Infinity])/64 - (4107*S[3, Infinity])/112)*
    S[5, Infinity] - (28625*S[-1, Infinity]*S[7, Infinity])/896 + 
   9*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (407*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (12*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (-404800*S[-7, -1, Infinity] - 83281*S[5, 3, Infinity] - 
     61440*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/35 + 
     (72*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((6*S[-1, Infinity]^5)/35 - (12*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (411*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     (144*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -3, -3, Infinity] -> 
  (-17*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (333029*S[2, Infinity]^4)/
    1176000 + ((-1665*S[-1, Infinity]^2)/448 + (4695*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/8 - 
     (2239*S[-1, Infinity]*S[2, Infinity])/224 - (10781*S[3, Infinity])/448)*
    S[5, Infinity] - (28625*S[-1, Infinity]*S[7, Infinity])/896 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (157*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (12*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (-588160*S[-7, -1, Infinity] - 114061*S[5, 3, Infinity] - 
     92160*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-9*S[-1, Infinity]^4)/140 + 
     (54*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/70 - (9*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (10137*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -4, 2, Infinity] -> 
  (727*S[-1, Infinity]^2*S[2, Infinity]^3)/336 + (1907651*S[2, Infinity]^4)/
    2352000 + ((9*S[-1, Infinity]^2)/16 - (5363*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-155*S[-1, Infinity]^3)/24 + 
     (755*S[-1, Infinity]*S[2, Infinity])/32 + (18703*S[3, Infinity])/896)*
    S[5, Infinity] + (35751*S[-1, Infinity]*S[7, Infinity])/1792 - 
   6*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (100*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (252800*S[-7, -1, Infinity] + 50359*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/70 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/35 + (6*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1187*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -4, -2, Infinity] -> 
  (1051*S[-1, Infinity]^2*S[2, Infinity]^3)/840 - 
   (82133*S[2, Infinity]^4)/470400 + 
   ((39*S[-1, Infinity]^2)/16 - (879*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (37*S[-1, Infinity]*S[2, Infinity])/16 + 
     (8231*S[3, Infinity])/896)*S[5, Infinity] + 
   (35751*S[-1, Infinity]*S[7, Infinity])/1792 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (128*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (8496*S[-7, -1, Infinity] + 1805*S[5, 3, Infinity] + 
     1536*S[-5, -1, -1, -1, Infinity] + 1152*S[-5, -1, 1, 1, Infinity])/224 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/70 - (36*S[-1, 1, 1, 1, Infinity])/
      35) + S[3, Infinity]*((-3*S[-1, Infinity]^5)/35 + 
     (6*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (793*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -1, -5, 1, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (2447*S[2, Infinity]^4)/2800 + 
   (31*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/160 + 
   ((21*S[-1, Infinity]^2)/32 + (5*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 - (127*S[-1, Infinity]*S[2, Infinity])/32 + 
     (151*S[3, Infinity])/64)*S[5, Infinity] + 
   (63*S[-1, Infinity]*S[7, Infinity])/32 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 - S[-5, -1, -1, -1, Infinity], 
 S[-1, -1, -5, -1, Infinity] -> -(S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (16217*S[2, Infinity]^4)/14000 + (147*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/40 + ((-9*S[-1, Infinity]^2)/16 - 
     (57*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   (12*S[-1, Infinity]*S[2, Infinity] + (19*S[3, Infinity])/16)*
    S[5, Infinity] + (63*S[-1, Infinity]*S[7, Infinity])/32 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (1600*S[-7, -1, Infinity] + 329*S[5, 3, Infinity] + 
     240*S[-5, -1, -1, -1, Infinity])/80, S[-1, -2, 4, 1, Infinity] -> 
  (37*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (213249*S[2, Infinity]^4)/
    392000 + ((65*S[-1, Infinity]^2)/28 - (159*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (211*S[-1, Infinity]*S[2, Infinity])/56 + (11517*S[3, Infinity])/896)*
    S[5, Infinity] + (8847*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (52*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + (71200*S[-7, -1, Infinity] - 989*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/210 + 
     (44*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/210 + (13*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (1629*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (52*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 4, -1, Infinity] -> 
  (687*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (1686243*S[2, Infinity]^4)/
    784000 + ((349*S[-1, Infinity]^2)/112 - (4803*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (17051*S[-1, Infinity]*S[2, Infinity])/448 + (6247*S[3, Infinity])/448)*
    S[5, Infinity] + (8847*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (64*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (128*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + (76080*S[-7, -1, Infinity] + 14289*S[5, 3, Infinity] + 
     12160*S[-5, -1, -1, -1, Infinity] + 5760*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((37*S[-1, Infinity]^4)/1680 - 
     (37*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-317*S[-1, Infinity]^5)/840 + (73*S[-1, Infinity]^3*S[2, Infinity])/
      28 + (7331*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 3, 2, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (4558*S[2, Infinity]^4)/2625 + 
   ((-5*S[-1, Infinity]^2)/2 - (67*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-43*S[-1, Infinity]*S[2, Infinity])/32 - (135*S[3, Infinity])/128)*
    S[5, Infinity] + (203*S[-1, Infinity]*S[7, Infinity])/8 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (19*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (-7680*S[-7, -1, Infinity] + 3497*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/20 + 
     (18*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/15 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, 3, -2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (113*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (669427*S[2, Infinity]^4)/336000 + 
   (-5*S[-1, Infinity]^2 + (13*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-427*S[-1, Infinity]*S[2, Infinity])/32 - (609*S[3, Infinity])/256)*
    S[5, Infinity] + (203*S[-1, Infinity]*S[7, Infinity])/8 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/48 - 
     (17*S[-1, 1, 1, 1, Infinity])/2) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/12 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (32*S[-1, Infinity]*S[2, Infinity]^2)/5 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^6/6 - 
     (3*S[-5, -1, Infinity])/4 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (2880*S[-7, -1, Infinity] + 
     567*S[5, 3, Infinity] - 5120*S[-1, 1, 1, 1, Infinity]^2)/640, 
 S[-1, -2, 2, 3, Infinity] -> -S[-1, Infinity]^8/144 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (102857*S[2, Infinity]^4)/
    196000 + ((-47*S[-1, Infinity]^2)/112 - (391*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((317*S[-1, Infinity]*S[2, Infinity])/56 + 
     (2605*S[3, Infinity])/224)*S[5, Infinity] - 
   (1927*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/210 - 
     (38*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (8*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-260*S[-7, -1, Infinity] - 347*S[5, 3, Infinity] - 
     800*S[-5, -1, -1, -1, Infinity] + 800*S[-5, -1, 1, 1, Infinity] - 
     2240*S[-1, 1, 1, 1, Infinity]^2)/560 + 
   S[3, Infinity]*((113*S[-1, Infinity]^5)/840 - 
     (71*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (781*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (8*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 2, -3, Infinity] -> 
  (-83*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (1234953*S[2, Infinity]^4)/
    784000 + ((7*S[-1, Infinity]^2)/8 + (995*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-587*S[-1, Infinity]*S[2, Infinity])/64 + 
     (211*S[3, Infinity])/112)*S[5, Infinity] - 
   (1927*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (54*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (24960*S[-7, -1, Infinity] + 2239*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((173*S[-1, Infinity]^4)/1680 - 
     (173*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/210 - (S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (13*S[-1, Infinity]*S[2, Infinity]^2)/32 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (61*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -2, 1, 4, Infinity] -> -(S[-1, Infinity]^2*S[2, Infinity]^3)/14 + 
   (495017*S[2, Infinity]^4)/1176000 + 
   ((-5*S[-1, Infinity]^2)/7 + (113*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-153*S[-1, Infinity]*S[2, Infinity])/112 - (3001*S[3, Infinity])/1792)*
    S[5, Infinity] + (1291*S[-1, Infinity]*S[7, Infinity])/224 + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-12800*S[-7, -1, Infinity] + 9357*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/420 + 
     (22*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/105 - (4*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (3*S[-1, Infinity]*S[2, Infinity]^2)/35 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, 1, -4, Infinity] -> 
  (-129*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (614807*S[2, Infinity]^4)/470400 + 
   ((-7*S[-1, Infinity]^2)/4 - (1361*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((357*S[-1, Infinity]*S[2, Infinity])/64 - (1543*S[3, Infinity])/224)*
    S[5, Infinity] + (1291*S[-1, Infinity]*S[7, Infinity])/224 + 
   (71*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (32*S[-7, -1, Infinity] - 47*S[5, 3, Infinity] + 
     512*S[-5, -1, -1, -1, Infinity] - 512*S[-5, -1, 1, 1, Infinity])/224 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/224 + (3*S[-1, 1, 1, 1, Infinity])/
      28) + S[3, Infinity]*((4*S[-1, Infinity]^5)/105 - 
     (8*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (221*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -1, 4, Infinity] -> 
  (-2323*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2957141*S[2, Infinity]^4)/2352000 + 
   ((-207*S[-1, Infinity]^2)/112 + (1893*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (31805*S[-1, Infinity]*S[2, Infinity])/448 - (69647*S[3, Infinity])/896)*
    S[5, Infinity] - (21477*S[-1, Infinity]*S[7, Infinity])/448 + 
   (150*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (370*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-50620*S[-7, -1, Infinity] - 10379*S[5, 3, Infinity] - 
     9120*S[-5, -1, -1, -1, Infinity] - 4320*S[-5, -1, 1, 1, Infinity])/280 + 
   S[2, Infinity]^2*((-251*S[-1, Infinity]^4)/1680 + 
     (251*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((13*S[-1, Infinity]^5)/56 - (79*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (4149*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (300*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -1, -4, Infinity] -> 
  S[-1, Infinity]^8/144 - (33*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + 
   (635669*S[2, Infinity]^4)/168000 + 
   ((-117*S[-1, Infinity]^2)/28 + (91*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/2 + (1733*S[-1, Infinity]*S[2, Infinity])/224 - 
     (3443*S[3, Infinity])/128)*S[5, Infinity] - 
   (21477*S[-1, Infinity]*S[7, Infinity])/448 + 
   (43*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 + (26*S[-1, 1, 1, 1, Infinity])/
      5) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + 40*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-111360*S[-7, -1, Infinity] - 22301*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 17920*S[-5, -1, 1, 1, Infinity] + 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/40 - (S[-1, Infinity]^3*S[2, Infinity])/
      4 - (3117*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -2, -2, 3, Infinity] -> 
  (-223*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (2050637*S[2, Infinity]^4)/784000 + 
   ((-63*S[-1, Infinity]^2)/16 - (633*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((631*S[-1, Infinity]*S[2, Infinity])/64 - (17295*S[3, Infinity])/1792)*
    S[5, Infinity] + (28523*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (72*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (7040*S[-7, -1, Infinity] + 4619*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((61*S[-1, Infinity]^4)/1680 - 
     (61*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((9*S[-1, Infinity]^5)/56 - (31*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (129*S[-1, Infinity]*S[2, Infinity]^2)/80 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (30*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -2, -2, -3, Infinity] -> -S[-1, Infinity]^8/144 - 
   (24*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (590987*S[2, Infinity]^4)/
    392000 + ((-117*S[-1, Infinity]^2)/112 + (557*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-775*S[-1, Infinity]*S[2, Infinity])/56 + 
     (869*S[3, Infinity])/1792)*S[5, Infinity] + 
   (28523*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-43*S[-1, Infinity]^4)/210 - 
     (38*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (20*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-15360*S[-7, -1, Infinity] + 6229*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((47*S[-1, Infinity]^5)/280 - 
     (33*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (2829*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -3, 2, Infinity] -> 
  S[-1, Infinity]^8/72 + (593*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (653801*S[2, Infinity]^4)/2352000 + 
   ((27*S[-1, Infinity]^2)/4 + (297*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((15*S[-1, Infinity]*S[2, Infinity])/4 - (6745*S[3, Infinity])/1792)*
    S[5, Infinity] - (11493*S[-1, Infinity]*S[7, Infinity])/448 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (36*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((103*S[-1, Infinity]^4)/336 + 
     (65*S[-1, 1, 1, 1, Infinity])/14) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - (99*S[-5, -1, Infinity])/14 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (19520*S[-7, -1, Infinity] - 621*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-87*S[-1, Infinity]^5)/140 + 
     (163*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (473*S[-1, Infinity]*S[2, Infinity]^2)/80 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (32*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -2, -3, -2, Infinity] -> (307*S[-1, Infinity]^2*S[2, Infinity]^3)/
    280 - (1228951*S[2, Infinity]^4)/2352000 + 
   ((45*S[-1, Infinity]^2)/14 - (93*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((2175*S[-1, Infinity]*S[2, Infinity])/224 + (27739*S[3, Infinity])/1792)*
    S[5, Infinity] - (11493*S[-1, Infinity]*S[7, Infinity])/448 - 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (37*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (36*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (400*S[-7, -1, Infinity] - 1249*S[5, 3, Infinity] - 
     1440*S[-5, -1, -1, -1, Infinity] + 1440*S[-5, -1, 1, 1, Infinity])/280 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/1680 + 
     (19*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/35 + (6*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1899*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -4, 1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (4*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (841087*S[2, Infinity]^4)/392000 + 
   ((117*S[-1, Infinity]^2)/112 - (603*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 - 
     (1199*S[-1, Infinity]*S[2, Infinity])/448 + (29917*S[3, Infinity])/1792)*
    S[5, Infinity] + (48393*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (23*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*(-S[-1, Infinity]^4/84 - 
     (40*S[-1, 1, 1, 1, Infinity])/7) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (148*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (454400*S[-7, -1, Infinity] + 85709*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 58880*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((51*S[-1, Infinity]^5)/280 - 
     (55*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (425*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (92*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -2, -4, -1, Infinity] -> 
  S[-1, Infinity]^8/144 - (709*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (26413*S[2, Infinity]^4)/78400 + ((279*S[-1, Infinity]^2)/112 - 
     (171*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (8849*S[-1, Infinity]*S[2, Infinity])/448 + 
     (631*S[3, Infinity])/112)*S[5, Infinity] + 
   (48393*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((11*S[-1, Infinity]^4)/70 + 
     (78*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + (16*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-8832*S[-7, -1, Infinity] - 853*S[5, 3, Infinity] - 
     1536*S[-5, -1, -1, -1, Infinity] + 1536*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/70 + (S[-1, Infinity]^3*S[2, Infinity])/
      7 - (2411*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, 3, 1, Infinity] -> 
  (-11*S[-1, Infinity]^2*S[2, Infinity]^3)/14 + (48953*S[2, Infinity]^4)/
    392000 + ((-125*S[-1, Infinity]^2)/56 + (277*S[2, Infinity])/56)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (143*S[-1, Infinity]*S[2, Infinity])/112 - (27971*S[3, Infinity])/1792)*
    S[5, Infinity] - (16745*S[-1, Infinity]*S[7, Infinity])/896 + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (50*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    7 + (-221440*S[-7, -1, Infinity] - 25691*S[5, 3, Infinity] - 
     21760*S[-5, -1, -1, -1, Infinity] - 32000*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/84 - 
     (2*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/84 - (25*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (4677*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, 3, -1, Infinity] -> 
  (-77*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (995377*S[2, Infinity]^4)/
    784000 + ((-71*S[-1, Infinity]^2)/28 + (207*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (8941*S[-1, Infinity]*S[2, Infinity])/224 - (3099*S[3, Infinity])/112)*
    S[5, Infinity] - (16745*S[-1, Infinity]*S[7, Infinity])/896 + 
   (73*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (228*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    7 + (-463040*S[-7, -1, Infinity] - 85409*S[5, 3, Infinity] - 
     61440*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-253*S[-1, Infinity]^4)/3360 + 
     (253*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((533*S[-1, Infinity]^5)/1680 - 
     (145*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (221*S[-1, Infinity]*S[2, Infinity]^2)/14 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (144*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, 2, 2, Infinity] -> 
  (-79*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (1233569*S[2, Infinity]^4)/
    1176000 + ((-25*S[-1, Infinity]^2)/28 + (493*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((181*S[-1, Infinity]*S[2, Infinity])/224 - 
     (17403*S[3, Infinity])/1792)*S[5, Infinity] + 
   (17145*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (20080*S[-7, -1, Infinity] + 1731*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/280 - 
     (39*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/42 - (5*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, 2, -2, Infinity] -> 
  S[-1, Infinity]^8/72 + (341*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (952607*S[2, Infinity]^4)/470400 + 
   ((-35*S[-1, Infinity]^2)/16 - (2053*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((505*S[-1, Infinity]*S[2, Infinity])/64 - 
     (6945*S[3, Infinity])/896)*S[5, Infinity] + 
   (17145*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((1159*S[-1, Infinity]^4)/3360 + 
     (521*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 + (209*S[-5, -1, Infinity])/28 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-3200*S[-7, -1, Infinity] - 977*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((-41*S[-1, Infinity]^5)/168 + 
     (107*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (509*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, 1, 3, Infinity] -> 
  S[-1, Infinity]^8/288 + (S[-1, Infinity]^2*S[2, Infinity]^3)/4 - 
   (21187*S[2, Infinity]^4)/56000 + ((41*S[-1, Infinity]^2)/32 + 
     (57*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   (-2*S[-1, Infinity]*S[2, Infinity] + (41*S[3, Infinity])/64)*
    S[5, Infinity] - (653*S[-1, Infinity]*S[7, Infinity])/64 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/60 + S[-1, 1, 1, 1, Infinity]/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - 3*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-960*S[-7, -1, Infinity] - 323*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((-23*S[-1, Infinity]^5)/240 + 
     (17*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (43*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -3, 1, -3, Infinity] -> 
  -S[-1, Infinity]^8/288 + (11*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (17*S[2, Infinity]^4)/560 + ((61*S[-1, Infinity]^2)/32 + 
     S[2, Infinity]/32)*S[3, Infinity]^2 + 
   ((47*S[-1, Infinity]*S[2, Infinity])/16 + (255*S[3, Infinity])/128)*
    S[5, Infinity] - (653*S[-1, Infinity]*S[7, Infinity])/64 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/16 + (3*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*(S[-1, Infinity]^6/24 + S[-5, -1, Infinity]/2 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-5*S[-7, -1, Infinity] - 4*S[-1, 1, 1, 1, Infinity]^2)/2 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/
      4 + (441*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[-1, -3, -1, 3, Infinity] -> 
  (1409*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (1110927*S[2, Infinity]^4)/784000 + 
   ((99*S[-1, Infinity]^2)/14 - (2547*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/4 + (19541*S[-1, Infinity]*S[2, Infinity])/224 + 
     (98589*S[3, Infinity])/896)*S[5, Infinity] + 
   (28233*S[-1, Infinity]*S[7, Infinity])/448 - 
   (216*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (663*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (24*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (153200*S[-7, -1, Infinity] + 29707*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] + 17280*S[-5, -1, 1, 1, Infinity])/
    560 + S[2, Infinity]^2*((731*S[-1, Infinity]^4)/3360 - 
     (731*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-323*S[-1, Infinity]^5)/560 + 
     (309*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (2889*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (432*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/288 + (253*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - 
   (198001*S[2, Infinity]^4)/196000 + 
   ((54*S[-1, Infinity]^2)/7 - (621*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/4 + (579*S[-1, Infinity]*S[2, Infinity])/28 + 
     (48801*S[3, Infinity])/896)*S[5, Infinity] + 
   (28233*S[-1, Infinity]*S[7, Infinity])/448 - 
   (102*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (24*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((199*S[-1, Infinity]^4)/840 - 
     (94*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (342*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (615040*S[-7, -1, Infinity] + 122517*S[5, 3, Infinity] + 
     92160*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-179*S[-1, Infinity]^5)/560 + 
     (165*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (648*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (383*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (4841077*S[2, Infinity]^4)/2352000 + 
   ((-63*S[-1, Infinity]^2)/16 - (1833*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((729*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2505*S[3, Infinity])/896)*S[5, Infinity] + 
   (15685*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-1621*S[-1, Infinity]^4)/3360 - 
     (59*S[-1, 1, 1, 1, Infinity])/140) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 + (179*S[-5, -1, Infinity])/14 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-24320*S[-7, -1, Infinity] + 7083*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((317*S[-1, Infinity]^5)/840 - 
     (73*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/160 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (72*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -3, -2, -2, Infinity] -> (-307*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (84601*S[2, Infinity]^4)/147000 + 
   ((-45*S[-1, Infinity]^2)/28 + (429*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-1539*S[-1, Infinity]*S[2, Infinity])/224 - (10755*S[3, Infinity])/896)*
    S[5, Infinity] + (15685*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (9*(-3200*S[-7, -1, Infinity] + 1557*S[5, 3, Infinity] + 
      2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity]))/
    8960 + S[2, Infinity]^2*((19*S[-1, Infinity]^4)/3360 - 
     (19*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/70 - (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (2241*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, -3, 1, Infinity] -> 
  S[-1, Infinity]^8/144 - (753*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (255471*S[2, Infinity]^4)/392000 + 
   ((-27*S[-1, Infinity]^2)/7 + (279*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/8 - (1735*S[-1, Infinity]*S[2, Infinity])/224 - 
     (22605*S[3, Infinity])/896)*S[5, Infinity] - 
   (28723*S[-1, Infinity]*S[7, Infinity])/896 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (12*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((131*S[-1, Infinity]^4)/1120 + 
     (447*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + (192*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-650880*S[-7, -1, Infinity] - 134977*S[5, 3, Infinity] - 
     92160*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/1680 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (283*S[-1, Infinity]*S[2, Infinity]^2)/28 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -3, -3, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 + (597*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1191*S[2, Infinity]^4)/4000 + (69*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/35 + ((-117*S[-1, Infinity]^2)/28 + 
     (9*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/8 + (8807*S[-1, Infinity]*S[2, Infinity])/448 - 
     (63*S[3, Infinity])/8)*S[5, Infinity] - 
   (28723*S[-1, Infinity]*S[7, Infinity])/896 - 
   (6*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (12*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/40 - 
     (6*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 6*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (6720*S[-7, -1, Infinity] + 351*S[5, 3, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640, S[-1, -4, 2, 1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (407417*S[2, Infinity]^4)/
    392000 + ((25*S[-1, Infinity]^2)/14 - (47*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 - 
     (47*S[-1, Infinity]*S[2, Infinity])/28 + (1639*S[3, Infinity])/112)*
    S[5, Infinity] + (12197*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (40*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 + (30960*S[-7, -1, Infinity] + 7381*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*(S[-1, Infinity]^4/42 - 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (-S[-1, Infinity]^5/21 + (10*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (481*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -4, 2, -1, Infinity] -> 
  (29*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (534169*S[2, Infinity]^4)/
    784000 + ((229*S[-1, Infinity]^2)/112 - (2517*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (6621*S[-1, Infinity]*S[2, Infinity])/224 + (20789*S[3, Infinity])/896)*
    S[5, Infinity] + (12197*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (58*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (128*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 + (136480*S[-7, -1, Infinity] + 31889*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/1680 + 
     (61*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((-59*S[-1, Infinity]^5)/280 + (45*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (13497*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -4, 1, 2, Infinity] -> 
  (6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (3841*S[2, Infinity]^4)/
    147000 + ((5*S[-1, Infinity]^2)/7 - S[2, Infinity]/56)*S[3, Infinity]^2 + 
   ((75*S[-1, Infinity]*S[2, Infinity])/224 + (927*S[3, Infinity])/448)*
    S[5, Infinity] - (7551*S[-1, Infinity]*S[7, Infinity])/896 - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (11*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-36480*S[-7, -1, Infinity] - 13403*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/105 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/105 + (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -4, 1, -2, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^3)/7 - (920063*S[2, Infinity]^4)/470400 + 
   ((7*S[-1, Infinity]^2)/4 + (691*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-299*S[-1, Infinity]*S[2, Infinity])/64 + (199*S[3, Infinity])/28)*
    S[5, Infinity] - (7551*S[-1, Infinity]*S[7, Infinity])/896 - 
   (149*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (416*S[-7, -1, Infinity] + 47*S[5, 3, Infinity] - 
     512*S[-5, -1, -1, -1, Infinity] + 512*S[-5, -1, 1, 1, Infinity])/224 + 
   S[2, Infinity]^2*((2*S[-1, Infinity]^4)/105 - 
     (16*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-4*S[-1, Infinity]^5)/105 + (8*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (213*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -4, -1, 2, Infinity] -> 
  (-2449*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (3262747*S[2, Infinity]^4)/2352000 + 
   ((-207*S[-1, Infinity]^2)/112 + (15459*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (15437*S[-1, Infinity]*S[2, Infinity])/224 - (15653*S[3, Infinity])/224)*
    S[5, Infinity] - (6141*S[-1, Infinity]*S[7, Infinity])/112 + 
   (150*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (370*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-12655*S[-7, -1, Infinity] - 2712*S[5, 3, Infinity] - 
     2280*S[-5, -1, -1, -1, Infinity] - 1080*S[-5, -1, 1, 1, Infinity])/70 + 
   S[2, Infinity]^2*((-83*S[-1, Infinity]^4)/1680 + 
     (83*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((107*S[-1, Infinity]^5)/280 - (93*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (31253*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -4, -1, -2, Infinity] -> 
  S[-1, Infinity]^8/144 - (12*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (7789*S[2, Infinity]^4)/117600 + ((-99*S[-1, Infinity]^2)/28 + 
     (3393*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/2 - (387*S[-1, Infinity]*S[2, Infinity])/28 - 
     (61251*S[3, Infinity])/1792)*S[5, Infinity] - 
   (6141*S[-1, Infinity]*S[7, Infinity])/112 + 
   (59*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/210 + 
     (94*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + (216*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-165376*S[-7, -1, Infinity] - 32183*S[5, 3, Infinity] - 
     26112*S[-5, -1, -1, -1, Infinity] - 16896*S[-5, -1, 1, 1, Infinity] + 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/280 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (151*S[-1, Infinity]*S[2, Infinity]^2)/14 + 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (132*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -4, -2, 1, Infinity] -> (143*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (884409*S[2, Infinity]^4)/784000 + 
   ((45*S[-1, Infinity]^2)/16 - (3249*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 + (73*S[-1, Infinity]*S[2, Infinity])/32 + 
     (35411*S[3, Infinity])/1792)*S[5, Infinity] + 
   (48393*S[-1, Infinity]*S[7, Infinity])/1792 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (128*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (216960*S[-7, -1, Infinity] + 47377*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/70 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/35 + (6*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (973*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-1, -4, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (93*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (444573*S[2, Infinity]^4)/392000 + 
   ((9*S[-1, Infinity]^2)/4 - (39*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 - (737*S[-1, Infinity]*S[2, Infinity])/64 - 
     (2193*S[3, Infinity])/1792)*S[5, Infinity] + 
   (48393*S[-1, Infinity]*S[7, Infinity])/1792 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-47*S[-1, Infinity]^4)/210 - 
     (22*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (40*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-18560*S[-7, -1, Infinity] + 989*S[5, 3, Infinity] + 
     7680*S[-5, -1, -1, -1, Infinity] - 7680*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((39*S[-1, Infinity]^5)/280 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (17*S[-1, Infinity]*S[2, Infinity]^2)/160 - 3*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (12*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-1, -5, 1, 1, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (16403*S[2, Infinity]^4)/28000 + 
   ((-5*S[-1, Infinity]^2)/8 + S[2, Infinity]/8)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 + (17*S[-1, Infinity]*S[2, Infinity])/16 - 
     (387*S[3, Infinity])/128)*S[5, Infinity] + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   2*S[2, Infinity]*S[-5, -1, Infinity] + S[-1, Infinity]*
    S[-5, 1, 1, Infinity] + (-2240*S[-7, -1, Infinity] - 
     301*S[5, 3, Infinity] - 640*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/120 + S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/
      6 - (17*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-1, -5, 1, -1, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/2 - (21939*S[2, Infinity]^4)/28000 + 
   ((-71*S[-1, Infinity]^2)/64 + (15*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 - (223*S[-1, Infinity]*S[2, Infinity])/64 + 
     (31*S[3, Infinity])/128)*S[5, Infinity] + 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + S[-1, Infinity]*
    S[-5, 1, 1, Infinity] + (-3840*S[-7, -1, Infinity] - 
     947*S[5, 3, Infinity] - 640*S[-5, -1, -1, -1, Infinity])/640 + 
   S[2, Infinity]^2*((19*S[-1, Infinity]^4)/480 - 
     (19*S[-1, 1, 1, 1, Infinity])/20) + S[3, Infinity]*
    (S[-1, Infinity]^5/16 - (3*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (413*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[-1, -5, -1, 1, Infinity] -> (9*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (3113*S[2, Infinity]^4)/7000 + ((-45*S[-1, Infinity]^2)/64 - 
     3*S[2, Infinity])*S[3, Infinity]^2 + 
   ((667*S[-1, Infinity]*S[2, Infinity])/64 + (635*S[3, Infinity])/128)*
    S[5, Infinity] + (63*S[-1, Infinity]*S[7, Infinity])/32 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (6080*S[-7, -1, Infinity] + 1651*S[5, 3, Infinity] + 
     1920*S[-5, -1, -1, -1, Infinity])/640 + S[2, Infinity]^2*
    ((-19*S[-1, Infinity]^4)/480 + (19*S[-1, 1, 1, 1, Infinity])/20) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/16 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (343*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2), 
 S[-1, -5, -1, -1, Infinity] -> (11*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (9271*S[2, Infinity]^4)/14000 - (371*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/160 + ((9*S[-1, Infinity]^2)/32 + 
     (57*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   (-7*S[-1, Infinity]*S[2, Infinity] + (145*S[3, Infinity])/128)*
    S[5, Infinity] + (63*S[-1, Infinity]*S[7, Infinity])/32 + 
   S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]*S[-5, -1, Infinity] + 
   (-6080*S[-7, -1, Infinity] - 1651*S[5, 3, Infinity] - 
     1920*S[-5, -1, -1, -1, Infinity])/640, S[-2, 4, 1, 1, Infinity] -> 
  (39*S[-1, Infinity]^2*S[2, Infinity]^3)/70 - (24681*S[2, Infinity]^4)/
    392000 + ((65*S[-1, Infinity]^2)/28 + (39*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 - 
     (223*S[-1, Infinity]*S[2, Infinity])/56 + (863*S[3, Infinity])/896)*
    S[5, Infinity] + (17303*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (13*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (80*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(13*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + (98080*S[-7, -1, Infinity] + 11121*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] + 16640*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/420 - 
     (26*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-13*S[-1, Infinity]^5)/210 + (13*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (1601*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (52*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 4, 1, -1, Infinity] -> 
  (-859*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (599537*S[2, Infinity]^4)/392000 + 
   ((-457*S[-1, Infinity]^2)/224 - (129*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 - 
     (71*S[-1, Infinity]*S[2, Infinity])/448 - (7271*S[3, Infinity])/896)*
    S[5, Infinity] + (20*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (625*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (-334720*S[-7, -1, Infinity] - 44629*S[5, 3, Infinity] - 
     15360*S[-5, -1, -1, -1, Infinity] - 56320*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-89*S[-1, Infinity]^4)/1120 + 
     (267*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/105 - 
     (22*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (1511*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (88*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 4, -1, 1, Infinity] -> 
  (519*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - (122817*S[2, Infinity]^4)/
    392000 + ((-45*S[-1, Infinity]^2)/224 - (1605*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/24 + 
     (6911*S[-1, Infinity]*S[2, Infinity])/448 + (16999*S[3, Infinity])/896)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (8*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (136320*S[-7, -1, Infinity] + 17669*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((163*S[-1, Infinity]^4)/3360 - 
     (163*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-3*S[-1, Infinity]^5)/70 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (969*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 4, -1, -1, Infinity] -> 
  (403*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (185791*S[2, Infinity]^4)/
    156800 + ((-171*S[-1, Infinity]^2)/112 - (1311*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (5147*S[-1, Infinity]*S[2, Infinity])/224 + (8067*S[3, Infinity])/448)*
    S[5, Infinity] + (3691*S[-1, Infinity]*S[7, Infinity])/128 - 
   (38*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (128*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   (7496*S[-7, -1, Infinity] + 1571*S[5, 3, Infinity] + 
     1216*S[-5, -1, -1, -1, Infinity] + 576*S[-5, -1, 1, 1, Infinity])/112 + 
   S[2, Infinity]^2*((3*S[-1, Infinity]^4)/70 - (36*S[-1, 1, 1, 1, Infinity])/
      35) + S[3, Infinity]*((-3*S[-1, Infinity]^5)/35 + 
     (6*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (2411*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 3, 2, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (11161*S[2, Infinity]^4)/
    14000 + ((-5*S[-1, Infinity]^2)/2 - (45*S[2, Infinity])/8)*
    S[3, Infinity]^2 + ((S[-1, Infinity]*S[2, Infinity])/4 + 
     (1127*S[3, Infinity])/128)*S[5, Infinity] + 
   (905*S[-1, Infinity]*S[7, Infinity])/128 + 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 8*S[2, Infinity]*S[-5, -1, Infinity] + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (-13440*S[-7, -1, Infinity] + 4743*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*(-S[-1, Infinity]^4/30 + 
     (4*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/15 - (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 3, 2, -1, Infinity] -> 
  (-17*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (335119*S[2, Infinity]^4)/
    112000 + ((29*S[-1, Infinity]^2)/8 + (471*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-849*S[-1, Infinity]*S[2, Infinity])/32 - 
     (221*S[3, Infinity])/128)*S[5, Infinity] + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (31*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (320*S[-7, -1, Infinity] - 799*S[5, 3, Infinity] - 
     1280*S[-5, -1, -1, -1, Infinity] + 1280*S[-5, -1, 1, 1, Infinity])/320 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/80 - (21*S[-1, 1, 1, 1, Infinity])/
      10) + S[3, Infinity]*(-S[-1, Infinity]^5/15 + 
     (2*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/10 + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 3, 1, 2, Infinity] -> 
  (12511*S[2, Infinity]^4)/42000 + (19*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/64 - (365*S[3, Infinity])/128)*
    S[5, Infinity] + (1651*S[-1, Infinity]*S[7, Infinity])/256 - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (2080*S[-7, -1, Infinity] + 397*S[5, 3, Infinity])/640, 
 S[-2, 3, 1, -2, Infinity] -> (64937*S[2, Infinity]^4)/336000 + 
   (29*S[2, Infinity]*S[3, Infinity]^2)/128 - 
   (75*S[3, Infinity]*S[5, Infinity])/256 - (487*S[5, 3, Infinity])/640, 
 S[-2, 3, -1, 2, Infinity] -> (13*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (5017*S[2, Infinity]^4)/84000 - (27*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 + (465*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-465*S[-1, Infinity]*S[2, Infinity])/32 - (3259*S[3, Infinity])/256)*
    S[5, Infinity] - (11*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-8320*S[-7, -1, Infinity] - 3269*S[5, 3, Infinity])/1280 + 
   S[2, Infinity]^2*((-13*S[-1, Infinity]^4)/240 + 
     (13*S[-1, 1, 1, 1, Infinity])/10), S[-2, 3, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (373*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (15924481*S[2, Infinity]^4)/2352000 + 
   ((23*S[-1, Infinity]^2)/8 + (5673*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-55*S[-1, Infinity]*S[2, Infinity])/2 + (21537*S[3, Infinity])/896)*
    S[5, Infinity] - (19717*S[-1, Infinity]*S[7, Infinity])/896 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-113*S[-1, Infinity]^4)/560 - 
     (501*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - (625*S[-5, -1, Infinity])/28 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2880*S[-7, -1, Infinity] - 19899*S[5, 3, Infinity] - 
     46080*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((173*S[-1, Infinity]^5)/420 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/14 - 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/10 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (144*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, 3, -2, 1, Infinity] -> (-11517*S[2, Infinity]^4)/22400 + 
   (315*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((-465*S[-1, Infinity]*S[2, Infinity])/64 - (775*S[3, Infinity])/256)*
    S[5, Infinity] - (15*S[2, Infinity]*S[-5, -1, Infinity])/4, 
 S[-2, 3, -2, -1, Infinity] -> S[-1, Infinity]^8/72 + 
   (79*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (2601*S[2, Infinity]^4)/
    3200 + 5*S[-1, Infinity]^2*S[3, Infinity]^2 + 
   (47*S[-1, Infinity]*S[2, Infinity]*S[5, Infinity])/4 - 
   (1659*S[-1, Infinity]*S[7, Infinity])/64 - 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    3 + 8*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]^2*
    ((23*S[-1, Infinity]^4)/80 + (51*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/12 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (32*S[-1, Infinity]*S[2, Infinity]^2)/5 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^6/6 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]), 
 S[-2, 2, 3, 1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (31*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (19231*S[2, Infinity]^4)/
    7840 + ((-243*S[-1, Infinity]^2)/112 + (71*S[2, Infinity])/14)*
    S[3, Infinity]^2 + ((-5*S[-1, Infinity]*S[2, Infinity])/56 - 
     (5445*S[3, Infinity])/224)*S[5, Infinity] + 
   (26717*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-23*S[-1, Infinity]^4)/420 - 
     (164*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (20*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (5616*S[-7, -1, Infinity] - 1679*S[5, 3, Infinity] - 
     640*S[-5, -1, -1, -1, Infinity] + 640*S[-5, -1, 1, 1, Infinity] - 
     1792*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((15*S[-1, Infinity]^5)/56 - 
     (127*S[-1, Infinity]^3*S[2, Infinity])/84 - 
     (1761*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 2, 3, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (15*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (576361*S[2, Infinity]^4)/392000 + 
   ((-41*S[-1, Infinity]^2)/56 - (907*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-1671*S[-1, Infinity]*S[2, Infinity])/448 + (7005*S[3, Infinity])/448)*
    S[5, Infinity] + (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((6*S[-1, Infinity]^4)/35 + (66*S[-1, 1, 1, 1, Infinity])/
      35) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + 
     (33*S[-5, -1, Infinity])/14 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-105600*S[-7, -1, Infinity] - 
     15203*S[5, 3, Infinity] - 23040*S[-5, -1, -1, -1, Infinity] + 
     23040*S[-5, -1, 1, 1, Infinity] + 35840*S[-1, 1, 1, 1, Infinity]^2)/
    8960 + S[3, Infinity]*((-3*S[-1, Infinity]^5)/70 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (1621*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 2, 2, 2, Infinity] -> 
  S[-1, Infinity]^8/72 + (99*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (216253*S[2, Infinity]^4)/112000 + 
   ((89*S[-1, Infinity]^2)/8 + (181*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-35*S[-1, Infinity]*S[2, Infinity])/8 + (463*S[3, Infinity])/64)*
    S[5, Infinity] - (639*S[-1, Infinity]*S[7, Infinity])/16 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 8*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/48 + (7*S[-1, 1, 1, 1, Infinity])/
      2) + S[2, Infinity]*(-S[-1, Infinity]^6/6 - 18*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (2560*S[-7, -1, Infinity] - 833*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] + 
     2560*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/60 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (673*S[-1, Infinity]*S[2, Infinity]^2)/80 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, 2, -2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (4483*S[2, Infinity]^4)/16000 + 
   ((-49*S[-1, Infinity]^2)/8 - (281*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((155*S[-1, Infinity]*S[2, Infinity])/8 + (1575*S[3, Infinity])/64)*
    S[5, Infinity] + S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/48 - 
     (5*S[-1, 1, 1, 1, Infinity])/2) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/12 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (35*S[-1, Infinity]*S[2, Infinity]^2)/16 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^6/6 + 
     10*S[-5, -1, Infinity] - 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (459*S[5, 3, Infinity] - 2560*S[-1, 1, 1, 1, Infinity]^2)/320, 
 S[-2, 2, 1, 3, Infinity] -> (-43*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (197921*S[2, Infinity]^4)/67200 + 
   ((-61*S[-1, Infinity]^2)/16 - (197*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((S[-1, Infinity]*S[2, Infinity])/4 - (1585*S[3, Infinity])/128)*
    S[5, Infinity] + (11589*S[-1, Infinity]*S[7, Infinity])/256 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 8*S[2, Infinity]*
    S[-5, -1, Infinity] + 4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + (2240*S[-7, -1, Infinity] + 
     651*S[5, 3, Infinity] + 1024*S[-5, -1, -1, -1, Infinity] - 
     1024*S[-5, -1, 1, 1, Infinity])/256 + S[2, Infinity]^2*
    ((11*S[-1, Infinity]^4)/240 - (11*S[-1, 1, 1, 1, Infinity])/10) + 
   S[3, Infinity]*(S[-1, Infinity]^5/6 - (7*S[-1, Infinity]^3*S[2, Infinity])/
      6 - (291*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     5*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 2, 1, -3, Infinity] -> 
  (11*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (38797*S[2, Infinity]^4)/
    168000 + ((7*S[-1, Infinity]^2)/4 + (29*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-93*S[-1, Infinity]*S[2, Infinity])/32 - 
     (339*S[3, Infinity])/256)*S[5, Infinity] - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + (263*S[5, 3, Infinity])/1280 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/240 + 
     (11*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/15 + (2*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (77*S[-1, Infinity]*S[2, Infinity]^2)/80 + 4*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 4*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, -1, 3, Infinity] -> (17*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (736531*S[2, Infinity]^4)/336000 + 
   ((-15*S[-1, Infinity]^2)/8 - (467*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((849*S[-1, Infinity]*S[2, Infinity])/32 + (301*S[3, Infinity])/32)*
    S[5, Infinity] - 2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   10*S[2, Infinity]*S[-5, -1, Infinity] + 
   (6080*S[-7, -1, Infinity] + 2809*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity])/640 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/80 + 
     (21*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    (S[-1, Infinity]^5/30 - (S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (241*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-2, 2, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/72 + (79*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (995299*S[2, Infinity]^4)/336000 + 
   ((59*S[-1, Infinity]^2)/16 - (21*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((47*S[-1, Infinity]*S[2, Infinity])/4 - (779*S[3, Infinity])/64)*
    S[5, Infinity] - (651*S[-1, Infinity]*S[7, Infinity])/128 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/80 + 
     (51*S[-1, 1, 1, 1, Infinity])/10) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 + 2*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (60*S[-7, -1, Infinity] - S[5, 3, Infinity] + 
     80*S[-1, 1, 1, 1, Infinity]^2)/10 + S[3, Infinity]*
    ((-67*S[-1, Infinity]^5)/120 + (13*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (161*S[-1, Infinity]*S[2, Infinity]^2)/40 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 3*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, -2, 2, Infinity] -> S[-1, Infinity]^8/72 + 
   (81*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (12569*S[2, Infinity]^4)/
    22400 + ((49*S[-1, Infinity]^2)/8 - (35*S[2, Infinity])/32)*
    S[3, Infinity]^2 + (595*S[3, Infinity]*S[5, Infinity])/64 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/80 + 
     (81*S[-1, 1, 1, 1, Infinity])/10) + S[3, Infinity]*
    ((-7*S[-1, Infinity]^5)/12 + (7*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (567*S[-1, Infinity]*S[2, Infinity]^2)/80 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(-S[-1, Infinity]^6/6 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (119*S[5, 3, Infinity] + 512*S[-1, 1, 1, 1, Infinity]^2)/64, 
 S[-2, 2, -2, -2, Infinity] -> -S[-1, Infinity]^8/24 - 
   (73*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + (1147577*S[2, Infinity]^4)/
    112000 + ((-267*S[-1, Infinity]^2)/8 - (429*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((3*S[-1, Infinity]*S[2, Infinity])/2 - 
     (269*S[3, Infinity])/4)*S[5, Infinity] + 
   (2933*S[-1, Infinity]*S[7, Infinity])/16 + 12*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 24*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + S[2, Infinity]^2*
    ((-187*S[-1, Infinity]^4)/240 - (173*S[-1, 1, 1, 1, Infinity])/10) + 
   2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*(S[-1, Infinity]^6/2 + 48*S[-5, -1, Infinity] - 
     12*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (160*S[-7, -1, Infinity] + 187*S[5, 3, Infinity] + 
     480*S[-5, -1, -1, -1, Infinity] - 480*S[-5, -1, 1, 1, Infinity] - 
     480*S[-1, 1, 1, 1, Infinity]^2)/20 + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/20 - (29*S[-1, Infinity]^3*S[2, Infinity])/2 - 
     (499*S[-1, Infinity]*S[2, Infinity]^2)/16 - 42*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 48*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 2, -3, 1, Infinity] -> -S[-1, Infinity]^8/144 + 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (12307*S[2, Infinity]^4)/28000 + 
   ((-49*S[-1, Infinity]^2)/16 - (605*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((465*S[-1, Infinity]*S[2, Infinity])/64 + (1147*S[3, Infinity])/64)*
    S[5, Infinity] + S[2, Infinity]^2*((-61*S[-1, Infinity]^4)/240 + 
     S[-1, 1, 1, 1, Infinity]/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/24 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/80 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^6/12 + 
     (15*S[-5, -1, Infinity])/4 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + 
   (213*S[5, 3, Infinity] - 5120*S[-1, 1, 1, 1, Infinity]^2)/1280, 
 S[-2, 2, -3, -1, Infinity] -> (281*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (290433*S[2, Infinity]^4)/156800 + 
   ((115*S[-1, Infinity]^2)/16 + (205*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((1147*S[-1, Infinity]*S[2, Infinity])/64 - (3055*S[3, Infinity])/448)*
    S[5, Infinity] - (21869*S[-1, Infinity]*S[7, Infinity])/896 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (40*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (38*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (16640*S[-7, -1, Infinity] - 689*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/336 - S[-1, 1, 1, 1, Infinity]/14) + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/56 + 
     (187*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (649*S[-1, Infinity]*S[2, Infinity]^2)/80 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (40*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, 1, 4, 1, Infinity] -> (-6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 - 
   (412247*S[2, Infinity]^4)/392000 + 
   ((-5*S[-1, Infinity]^2)/7 - (187*S[2, Infinity])/112)*S[3, Infinity]^2 + 
   ((S[-1, Infinity]*S[2, Infinity])/14 + (10341*S[3, Infinity])/1792)*
    S[5, Infinity] - (3397*S[-1, Infinity]*S[7, Infinity])/896 + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (16*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-53120*S[-7, -1, Infinity] + 13459*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(-S[-1, Infinity]^4/105 + 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((2*S[-1, Infinity]^5)/105 - (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/140 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, 4, -1, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/35 - (126023*S[2, Infinity]^4)/
    196000 + ((29*S[-1, Infinity]^2)/28 + (2511*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-201*S[-1, Infinity]*S[2, Infinity])/28 - 
     (4475*S[3, Infinity])/1792)*S[5, Infinity] + 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (169*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (30720*S[-7, -1, Infinity] - 3813*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/105 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/105 + (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (247*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, 3, 2, Infinity] -> 
  (131087*S[2, Infinity]^4)/112000 - (7*S[2, Infinity]*S[3, Infinity]^2)/
    128 + ((31*S[-1, Infinity]*S[2, Infinity])/32 - 
     (1271*S[3, Infinity])/256)*S[5, Infinity] + 
   (1651*S[-1, Infinity]*S[7, Infinity])/256 + 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (4160*S[-7, -1, Infinity] - 1707*S[5, 3, Infinity])/1280, 
 S[-2, 1, 3, -2, Infinity] -> (11391*S[2, Infinity]^4)/22400 - 
   (11*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((155*S[-1, Infinity]*S[2, Infinity])/64 - (123*S[3, Infinity])/128)*
    S[5, Infinity] + (5*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   S[5, 3, Infinity]/8, S[-2, 1, 2, 3, Infinity] -> 
  (-1103299*S[2, Infinity]^4)/336000 - (73*S[2, Infinity]*S[3, Infinity]^2)/
    64 + (3979*S[3, Infinity]*S[5, Infinity])/256 - 
   (127*S[-1, Infinity]*S[7, Infinity])/4 + 
   (-2560*S[-7, -1, Infinity] + 61*S[5, 3, Infinity])/160, 
 S[-2, 1, 2, -3, Infinity] -> (89*S[2, Infinity]^4)/3360 + 
   (727*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((-651*S[-1, Infinity]*S[2, Infinity])/64 - (3123*S[3, Infinity])/256)*
    S[5, Infinity] - (21*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   (307*S[5, 3, Infinity])/256, S[-2, 1, 1, 4, Infinity] -> 
  (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + (3371*S[2, Infinity]^4)/2400 - 
   (49*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/160 + 
   (73*S[2, Infinity]*S[3, Infinity]^2)/128 - 
   (531*S[3, Infinity]*S[5, Infinity])/64 + 
   (3429*S[-1, Infinity]*S[7, Infinity])/256 + 
   (864*S[-7, -1, Infinity] - 47*S[5, 3, Infinity])/128 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/480 - (7*S[-1, 1, 1, 1, Infinity])/
      20), S[-2, 1, 1, -4, Infinity] -> 
  (S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (17863*S[2, Infinity]^4)/168000 + 
   (7*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/20 - 
   (157*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((279*S[-1, Infinity]*S[2, Infinity])/64 + (1869*S[3, Infinity])/256)*
    S[5, Infinity] + (9*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (1077*S[5, 3, Infinity])/1280 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/60 + (2*S[-1, 1, 1, 1, Infinity])/5), 
 S[-2, 1, -1, 4, Infinity] -> (25*S[-1, Infinity]^2*S[2, Infinity]^3)/56 - 
   (3811*S[2, Infinity]^4)/117600 + ((-9*S[-1, Infinity]^2)/56 + 
     (281*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-1719*S[-1, Infinity]*S[2, Infinity])/448 + (1975*S[3, Infinity])/896)*
    S[5, Infinity] - (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (30*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-18688*S[-7, -1, Infinity] - 573*S[5, 3, Infinity] + 
     2048*S[-5, -1, -1, -1, Infinity] - 2048*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-53*S[-1, Infinity]^4)/3360 + 
     (53*S[-1, 1, 1, 1, Infinity])/140) + S[3, Infinity]*
    (-S[-1, Infinity]^5/70 + (S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (177*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, -1, -4, Infinity] -> 
  -S[-1, Infinity]^8/144 - (3069*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (2671381*S[2, Infinity]^4)/1176000 + 
   ((-1061*S[-1, Infinity]^2)/224 + (13761*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/4 - 
     (2011*S[-1, Infinity]*S[2, Infinity])/56 - (27129*S[3, Infinity])/896)*
    S[5, Infinity] - (13569*S[-1, Infinity]*S[7, Infinity])/448 + 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-649*S[-1, Infinity]^4)/3360 - 
     (191*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (815*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-889600*S[-7, -1, Infinity] - 168601*S[5, 3, Infinity] - 
     130560*S[-5, -1, -1, -1, Infinity] - 84480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((199*S[-1, Infinity]^5)/420 - 
     (25*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (10083*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (153*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, 1, -2, 3, Infinity] -> 
  (36331*S[2, Infinity]^4)/67200 - (279*S[2, Infinity]*S[3, Infinity]^2)/
    128 + ((465*S[-1, Infinity]*S[2, Infinity])/64 + 
     (455*S[3, Infinity])/128)*S[5, Infinity] + 
   (15*S[2, Infinity]*S[-5, -1, Infinity])/4 + S[5, 3, Infinity]/16, 
 S[-2, 1, -2, -3, Infinity] -> (104269*S[2, Infinity]^4)/67200 + 
   (9*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (975*S[3, Infinity]*S[5, Infinity])/128 + 
   (1651*S[-1, Infinity]*S[7, Infinity])/128 + 
   (416*S[-7, -1, Infinity] - 47*S[5, 3, Infinity])/64, 
 S[-2, 1, -3, 2, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - 
   (5977*S[2, Infinity]^4)/28000 - (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 + (511*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((-465*S[-1, Infinity]*S[2, Infinity])/64 - (2197*S[3, Infinity])/256)*
    S[5, Infinity] - (15*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   (1367*S[5, 3, Infinity])/1280 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/32 - (3*S[-1, 1, 1, 1, Infinity])/4), 
 S[-2, 1, -3, -2, Infinity] -> S[-1, Infinity]^8/72 + 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - (532411*S[2, Infinity]^4)/
    112000 + ((89*S[-1, Infinity]^2)/8 + (277*S[2, Infinity])/64)*
    S[3, Infinity]^2 + (-(S[-1, Infinity]*S[2, Infinity])/2 + 
     (3377*S[3, Infinity])/128)*S[5, Infinity] - 
   (1147*S[-1, Infinity]*S[7, Infinity])/16 - 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/
    3 + S[2, Infinity]^2*((17*S[-1, Infinity]^4)/60 + 
     (26*S[-1, 1, 1, 1, Infinity])/5) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - 16*S[-5, -1, Infinity] + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-320*S[-7, -1, Infinity] - 107*S[5, 3, Infinity] - 
     320*S[-5, -1, -1, -1, Infinity] + 320*S[-5, -1, 1, 1, Infinity] + 
     320*S[-1, 1, 1, 1, Infinity]^2)/40 + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/60 + (29*S[-1, Infinity]^3*S[2, Infinity])/6 + 
     (99*S[-1, Infinity]*S[2, Infinity]^2)/10 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, 1, -4, 1, Infinity] -> (12289*S[2, Infinity]^4)/56000 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - (61*S[3, Infinity]*S[5, Infinity])/
    32 + (417*S[5, 3, Infinity])/1280, S[-2, 1, -4, -1, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (408879*S[2, Infinity]^4)/
    784000 + ((-7*S[-1, Infinity]^2)/4 - (635*S[2, Infinity])/448)*
    S[3, Infinity]^2 + (-(S[-1, Infinity]*S[2, Infinity])/64 - 
     (3335*S[3, Infinity])/1792)*S[5, Infinity] + 
   (5493*S[-1, Infinity]*S[7, Infinity])/896 + 
   (32*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-19520*S[-7, -1, Infinity] + 3253*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/105 + 
     (16*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((4*S[-1, Infinity]^5)/105 - (8*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -1, 4, 1, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/2 - (59347*S[2, Infinity]^4)/56000 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/8 - 
   (241*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((-51*S[-1, Infinity]*S[2, Infinity])/32 + (837*S[3, Infinity])/128)*
    S[5, Infinity] - (9*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (250*S[-7, -1, Infinity] - 13*S[5, 3, Infinity])/40 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/12 - 2*S[-1, 1, 1, 1, Infinity]), 
 S[-2, -1, 4, -1, Infinity] -> (-1331*S[-1, Infinity]^2*S[2, Infinity]^3)/
    140 + (973731*S[2, Infinity]^4)/784000 + 
   ((-367*S[-1, Infinity]^2)/112 + (14451*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (26547*S[-1, Infinity]*S[2, Infinity])/448 - (32111*S[3, Infinity])/448)*
    S[5, Infinity] - (4197*S[-1, Infinity]*S[7, Infinity])/112 + 
   (158*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (384*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 + (-187920*S[-7, -1, Infinity] - 42937*S[5, 3, Infinity] - 
     36480*S[-5, -1, -1, -1, Infinity] - 17280*S[-5, -1, 1, 1, Infinity])/
    1120 + S[2, Infinity]^2*((-181*S[-1, Infinity]^4)/1680 + 
     (181*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((461*S[-1, Infinity]^5)/840 - (121*S[-1, Infinity]^3*S[2, Infinity])/
      28 - (31369*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -1, 3, 2, Infinity] -> 
  (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (37903*S[2, Infinity]^4)/
    22400 - (15*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/32 + 
   (365*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((153*S[-1, Infinity]*S[2, Infinity])/64 - (5895*S[3, Infinity])/256)*
    S[5, Infinity] - (7*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (1472*S[-7, -1, Infinity] - 339*S[5, 3, Infinity])/128 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/60 - (14*S[-1, 1, 1, 1, Infinity])/
      5), S[-2, -1, 3, -2, Infinity] -> S[-1, Infinity]^8/72 + 
   (611*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1221597*S[2, Infinity]^4)/156800 + 
   ((-23*S[-1, Infinity]^2)/8 - (5743*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((1913*S[-1, Infinity]*S[2, Infinity])/64 - (41667*S[3, Infinity])/1792)*
    S[5, Infinity] + (19717*S[-1, Infinity]*S[7, Infinity])/896 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((101*S[-1, Infinity]^4)/1680 + 
     (739*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 + (323*S[-5, -1, Infinity])/14 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1728*S[-7, -1, Infinity] + 1593*S[5, 3, Infinity] + 
     4608*S[-5, -1, -1, -1, Infinity] - 4608*S[-5, -1, 1, 1, Infinity] + 
     3584*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/420 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/10 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (144*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -1, 2, 3, Infinity] -> (-13*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (902203*S[2, Infinity]^4)/336000 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/4 - 
   (383*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((123*S[-1, Infinity]*S[2, Infinity])/64 + (1451*S[3, Infinity])/64)*
    S[5, Infinity] + (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (3520*S[-7, -1, Infinity] + 5231*S[5, 3, Infinity])/1280 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/240 - 
     (13*S[-1, 1, 1, 1, Infinity])/10), S[-2, -1, 2, -3, Infinity] -> 
  -S[-1, Infinity]^8/72 - (653*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1811743*S[2, Infinity]^4)/470400 + 
   ((-75*S[-1, Infinity]^2)/8 - (2053*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-69*S[-1, Infinity]*S[2, Infinity])/64 - (4099*S[3, Infinity])/224)*
    S[5, Infinity] + (28925*S[-1, Infinity]*S[7, Infinity])/448 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (48*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-563*S[-1, Infinity]^4)/1680 - 
     (277*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 + (80*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (7488*S[-7, -1, Infinity] + 3065*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/896 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/28 - 
     (187*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1379*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     14*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (80*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -1, 1, 4, Infinity] -> 
  (-153*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (40609*S[2, Infinity]^4)/147000 + 
   ((9*S[-1, Infinity]^2)/56 + (3505*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-2145*S[-1, Infinity]*S[2, Infinity])/448 - (11761*S[3, Infinity])/896)*
    S[5, Infinity] + (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (197*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (75520*S[-7, -1, Infinity] - 14663*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((109*S[-1, Infinity]^4)/3360 - 
     (109*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(S[-1, Infinity]^5/70 - (S[-1, Infinity]^3*S[2, Infinity])/
      7 - (459*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -1, 1, -4, Infinity] -> 
  S[-1, Infinity]^8/144 + (1639*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (70589*S[2, Infinity]^4)/33600 + ((1845*S[-1, Infinity]^2)/224 - 
     (847*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/4 + (12343*S[-1, Infinity]*S[2, Infinity])/448 + 
     (12721*S[3, Infinity])/256)*S[5, Infinity] - 
   (4295*S[-1, Infinity]*S[7, Infinity])/896 - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((13*S[-1, Infinity]^4)/60 + 
     (4*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (155*S[-5, -1, Infinity])/4 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (22912*S[-7, -1, Infinity] + 4397*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 3584*S[-5, -1, 1, 1, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/20 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (11203*S[-1, Infinity]*S[2, Infinity]^2)/560 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     31*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, -1, 4, Infinity] -> 
  (1179*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (9100579*S[2, Infinity]^4)/2352000 + 
   ((207*S[-1, Infinity]^2)/112 - (14619*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (1913*S[-1, Infinity]*S[2, Infinity])/28 + (49851*S[3, Infinity])/896)*
    S[5, Infinity] + (71073*S[-1, Infinity]*S[7, Infinity])/896 - 
   (150*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (733*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (856960*S[-7, -1, Infinity] + 172931*S[5, 3, Infinity] + 
     145920*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((9*S[-1, Infinity]^4)/70 - 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/140 + (43*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (6091*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     (258*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -1, -1, -4, Infinity] -> 
  (-229*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (677863*S[2, Infinity]^4)/470400 + 
   ((9*S[-1, Infinity]^2)/28 - (29*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-27*S[-1, Infinity]*S[2, Infinity])/7 + (325*S[3, Infinity])/224)*
    S[5, Infinity] + (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (67*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (3328*S[-7, -1, Infinity] + 313*S[5, 3, Infinity] - 
     512*S[-5, -1, -1, -1, Infinity] + 512*S[-5, -1, 1, 1, Infinity])/224 + 
   S[2, Infinity]^2*((2*S[-1, Infinity]^4)/105 - 
     (16*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (S[-1, Infinity]^5/35 - (2*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (1341*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -1, -2, 3, Infinity] -> 
  S[-1, Infinity]^8/72 + (999*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (6716191*S[2, Infinity]^4)/2352000 + 
   ((103*S[-1, Infinity]^2)/8 + (153*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-319*S[-1, Infinity]*S[2, Infinity])/64 + (19365*S[3, Infinity])/1792)*
    S[5, Infinity] - (22861*S[-1, Infinity]*S[7, Infinity])/448 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (64*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((361*S[-1, Infinity]^4)/1680 + 
     (479*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - (130*S[-5, -1, Infinity])/7 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2880*S[-7, -1, Infinity] - 19899*S[5, 3, Infinity] - 
     46080*S[-5, -1, -1, -1, Infinity] + 46080*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/21 + 
     (40*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (167*S[-1, Infinity]*S[2, Infinity]^2)/20 + 20*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (60*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -1, -2, -3, Infinity] -> S[-1, Infinity]^8/72 + 
   (37*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (367933*S[2, Infinity]^4)/
    67200 + ((-9*S[-1, Infinity]^2)/8 - S[2, Infinity]/16)*S[3, Infinity]^2 + 
   ((1473*S[-1, Infinity]*S[2, Infinity])/64 - (4447*S[3, Infinity])/256)*
    S[5, Infinity] - 4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((5*S[-1, Infinity]^4)/16 + (9*S[-1, 1, 1, 1, Infinity])/
      2) + S[3, Infinity]*(-S[-1, Infinity]^5/4 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (873*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     6*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/6 + (21*S[-5, -1, Infinity])/2 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1024*S[-7, -1, Infinity] + 229*S[5, 3, Infinity] + 
     1024*S[-5, -1, -1, -1, Infinity] - 1024*S[-5, -1, 1, 1, Infinity] + 
     1024*S[-1, 1, 1, 1, Infinity]^2)/128, S[-2, -1, -3, 2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (453*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (2561417*S[2, Infinity]^4)/784000 + 
   ((-5*S[-1, Infinity]^2)/8 + (1689*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-1655*S[-1, Infinity]*S[2, Infinity])/64 + (13507*S[3, Infinity])/1792)*
    S[5, Infinity] + (17939*S[-1, Infinity]*S[7, Infinity])/896 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-403*S[-1, Infinity]^4)/1680 - 
     (437*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - (101*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (18240*S[-7, -1, Infinity] - 127*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] - 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((41*S[-1, Infinity]^5)/84 - 
     (107*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (39*S[-1, Infinity]*S[2, Infinity]^2)/10 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (80*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -1, -3, -2, Infinity] -> (-13*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - 
   (92697*S[2, Infinity]^4)/112000 + (27*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 - (225*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((587*S[-1, Infinity]*S[2, Infinity])/64 + (4657*S[3, Infinity])/256)*
    S[5, Infinity] + (9*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (2560*S[-7, -1, Infinity] + 821*S[5, 3, Infinity])/640 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/240 - 
     (13*S[-1, 1, 1, 1, Infinity])/10), S[-2, -1, -4, 1, Infinity] -> 
  S[-1, Infinity]^8/144 - (21*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (271727*S[2, Infinity]^4)/56000 + 
   ((-157*S[-1, Infinity]^2)/28 + (99*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/2 + (807*S[-1, Infinity]*S[2, Infinity])/448 - 
     (6189*S[3, Infinity])/128)*S[5, Infinity] - 
   (29131*S[-1, Infinity]*S[7, Infinity])/896 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(11*S[-5, 1, 1, Infinity] - 17*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/20 + (36*S[-1, 1, 1, 1, Infinity])/
      5) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + 44*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-120320*S[-7, -1, Infinity] - 22769*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] - 17920*S[-5, -1, 1, 1, Infinity] + 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/120 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (1223*S[-1, Infinity]*S[2, Infinity]^2)/112 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     28*S[-1, 1, 1, 1, 1, Infinity]), S[-2, -1, -4, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 + (1801*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (155231*S[2, Infinity]^4)/196000 + 
   ((-135*S[-1, Infinity]^2)/112 - (6639*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((19143*S[-1, Infinity]*S[2, Infinity])/448 + 
     (7715*S[3, Infinity])/224)*S[5, Infinity] - 
   (79*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/14 - (30*S[-1, 1, 1, 1, Infinity])/
      7) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (202*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (764160*S[-7, -1, Infinity] + 157639*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] + 84480*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-11*S[-1, Infinity]^5)/70 + 
     (11*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1947*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (132*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -2, 3, 1, Infinity] -> 
  (-7643*S[2, Infinity]^4)/14000 + (69*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-279*S[-1, Infinity]*S[2, Infinity])/64 - (29*S[3, Infinity])/64)*
    S[5, Infinity] - (9*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (1709*S[5, 3, Infinity])/1280, S[-2, -2, 3, -1, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/28 + (1208523*S[2, Infinity]^4)/
    784000 + ((-63*S[-1, Infinity]^2)/16 - (369*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((249*S[-1, Infinity]*S[2, Infinity])/64 - 
     (1293*S[3, Infinity])/224)*S[5, Infinity] + 
   (12137*S[-1, Infinity]*S[7, Infinity])/896 + 
   (72*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-24320*S[-7, -1, Infinity] + 11311*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/70 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 - (6*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (9*S[-1, Infinity]*S[2, Infinity]^2)/16 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -2, 2, 2, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + (32577*S[2, Infinity]^4)/
    112000 - (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (247*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/8 - (2541*S[3, Infinity])/128)*
    S[5, Infinity] - 6*S[2, Infinity]*S[-5, -1, Infinity] - 
   (1921*S[5, 3, Infinity])/640 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/16 - (3*S[-1, 1, 1, 1, Infinity])/2), 
 S[-2, -2, 2, -2, Infinity] -> S[-1, Infinity]^8/24 + 
   (159*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (1192257*S[2, Infinity]^4)/
    112000 + ((267*S[-1, Infinity]^2)/8 + (893*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-3*S[-1, Infinity]*S[2, Infinity])/2 + 
     (3709*S[3, Infinity])/64)*S[5, Infinity] - 
   (2933*S[-1, Infinity]*S[7, Infinity])/16 - 12*S[-1, Infinity]^2*
    S[-5, -1, Infinity] - 24*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) - 2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]^2*((39*S[-1, Infinity]^4)/40 + 
     (63*S[-1, 1, 1, 1, Infinity])/5) + S[2, Infinity]*
    (-S[-1, Infinity]^6/2 - 48*S[-5, -1, Infinity] + 
     12*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2560*S[-7, -1, Infinity] - 3587*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] + 
     7680*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-43*S[-1, Infinity]^5)/20 + 
     (29*S[-1, Infinity]^3*S[2, Infinity])/2 + 
     (1083*S[-1, Infinity]*S[2, Infinity]^2)/40 + 42*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 48*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, 1, 3, Infinity] -> (4213*S[2, Infinity]^4)/336000 - 
   (113*S[2, Infinity]*S[3, Infinity]^2)/128 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/32 + (391*S[3, Infinity])/128)*
    S[5, Infinity] + (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (9*S[5, 3, Infinity])/80, S[-2, -2, 1, -3, Infinity] -> 
  -S[-1, Infinity]^8/144 - (43*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (748651*S[2, Infinity]^4)/336000 + 
   ((-89*S[-1, Infinity]^2)/16 - (93*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((S[-1, Infinity]*S[2, Infinity])/4 - (623*S[3, Infinity])/64)*
    S[5, Infinity] + (4207*S[-1, Infinity]*S[7, Infinity])/128 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-49*S[-1, Infinity]^4)/240 - 
     (11*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + 8*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1600*S[-7, -1, Infinity] + 1449*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/120 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (291*S[-1, Infinity]*S[2, Infinity]^2)/80 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 8*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, -1, 3, Infinity] -> -S[-1, Infinity]^8/72 - 
   (49*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (154583*S[2, Infinity]^4)/
    48000 + (-5*S[-1, Infinity]^2 - (3*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((-47*S[-1, Infinity]*S[2, Infinity])/4 + (1599*S[3, Infinity])/128)*
    S[5, Infinity] + (397*S[-1, Infinity]*S[7, Infinity])/128 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/24 - 
     7*S[-1, 1, 1, 1, Infinity]) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - 2*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2240*S[-7, -1, Infinity] - 117*S[5, 3, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((79*S[-1, Infinity]^5)/120 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (91*S[-1, Infinity]*S[2, Infinity]^2)/16 - 17*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + 6*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, -1, -3, Infinity] -> -S[-1, Infinity]^8/144 - 
   (5*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (1169519*S[2, Infinity]^4)/
    336000 + ((9*S[-1, Infinity]^2)/16 + (401*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-849*S[-1, Infinity]*S[2, Infinity])/32 - 
     (149*S[3, Infinity])/64)*S[5, Infinity] + 2*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/240 - 
     (29*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*(S[-1, Infinity]^5/8 - (3*S[-1, Infinity]^3*S[2, Infinity])/
      4 - (297*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - 10*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-6080*S[-7, -1, Infinity] - 1611*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/640, S[-2, -2, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (43*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (387437*S[2, Infinity]^4)/112000 + 
   ((-89*S[-1, Infinity]^2)/8 - (41*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((S[-1, Infinity]*S[2, Infinity])/2 - (245*S[3, Infinity])/16)*
    S[5, Infinity] + (893*S[-1, Infinity]*S[7, Infinity])/16 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 8*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-49*S[-1, Infinity]^4)/120 - 
     (11*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 + 16*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (323*S[5, 3, Infinity] + 640*S[-5, -1, -1, -1, Infinity] - 
     640*S[-5, -1, 1, 1, Infinity] - 640*S[-1, 1, 1, 1, Infinity]^2)/80 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/60 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (291*S[-1, Infinity]*S[2, Infinity]^2)/40 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -2, -2, -2, Infinity] -> (2661*S[2, Infinity]^4)/22400, 
 S[-2, -2, -3, 1, Infinity] -> S[-1, Infinity]^8/144 + 
   (193*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1058699*S[2, Infinity]^4)/392000 + 
   ((443*S[-1, Infinity]^2)/112 - (59*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-5*S[-1, Infinity]*S[2, Infinity])/56 + (26503*S[3, Infinity])/1792)*
    S[5, Infinity] - (3053*S[-1, Infinity]*S[7, Infinity])/112 - 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((307*S[-1, Infinity]^4)/1680 + 
     (113*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - (20*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-78080*S[-7, -1, Infinity] + 2953*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-53*S[-1, Infinity]^5)/168 + 
     (167*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (663*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -2, -3, -1, Infinity] -> 
  (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - (164819*S[2, Infinity]^4)/
    98000 + ((261*S[-1, Infinity]^2)/112 + (2691*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-8181*S[-1, Infinity]*S[2, Infinity])/448 - 
     (855*S[3, Infinity])/224)*S[5, Infinity] + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (177*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (9*(-3200*S[-7, -1, Infinity] + 1557*S[5, 3, Infinity] + 
      2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity]))/
    8960 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/140 - 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/70 + (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (99*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -3, 2, 1, Infinity] -> 
  (21597*S[2, Infinity]^4)/28000 - (177*S[2, Infinity]*S[3, Infinity]^2)/
    128 + ((651*S[-1, Infinity]*S[2, Infinity])/64 + 
     (431*S[3, Infinity])/128)*S[5, Infinity] + 
   (21*S[2, Infinity]*S[-5, -1, Infinity])/4 - (2703*S[5, 3, Infinity])/1280, 
 S[-2, -3, 2, -1, Infinity] -> -S[-1, Infinity]^8/72 - 
   (513*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (114787*S[2, Infinity]^4)/156800 + 
   ((-13*S[-1, Infinity]^2)/4 + (517*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-511*S[-1, Infinity]*S[2, Infinity])/64 - (6897*S[3, Infinity])/896)*
    S[5, Infinity] + (23067*S[-1, Infinity]*S[7, Infinity])/896 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (20*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   S[2, Infinity]^2*((-451*S[-1, Infinity]^4)/1680 - 
     (389*S[-1, 1, 1, 1, Infinity])/70) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - (32*S[-5, -1, Infinity])/7 - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (6656*S[-7, -1, Infinity] - 459*S[5, 3, Infinity] - 
     1024*S[-5, -1, -1, -1, Infinity] + 1024*S[-5, -1, 1, 1, Infinity] - 
     3584*S[-1, 1, 1, 1, Infinity]^2)/448 + 
   S[3, Infinity]*((229*S[-1, Infinity]^5)/420 - 
     (131*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (309*S[-1, Infinity]*S[2, Infinity]^2)/160 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (32*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -3, 1, 2, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - 
   (10321*S[2, Infinity]^4)/5250 + (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 - (283*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/32 + (5133*S[3, Infinity])/256)*
    S[5, Infinity] + (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (4823*S[5, 3, Infinity])/1280 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/32 + (3*S[-1, 1, 1, 1, Infinity])/4), 
 S[-2, -3, 1, -2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (29*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (1723343*S[2, Infinity]^4)/
    336000 + ((-89*S[-1, Infinity]^2)/8 - (547*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((S[-1, Infinity]*S[2, Infinity])/2 - 
     (479*S[3, Infinity])/16)*S[5, Infinity] + 
   (1147*S[-1, Infinity]*S[7, Infinity])/16 + 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/60 - 
     (26*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 + 16*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (640*S[-7, -1, Infinity] + 209*S[5, 3, Infinity] + 
     640*S[-5, -1, -1, -1, Infinity] - 640*S[-5, -1, 1, 1, Infinity] - 
     640*S[-1, 1, 1, 1, Infinity]^2)/80 + S[3, Infinity]*
    ((43*S[-1, Infinity]^5)/60 - (29*S[-1, Infinity]^3*S[2, Infinity])/6 - 
     (99*S[-1, Infinity]*S[2, Infinity]^2)/10 - 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 16*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-2, -3, -1, 2, Infinity] -> S[-1, Infinity]^8/72 + 
   (373*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (13300559*S[2, Infinity]^4)/2352000 + 
   ((-23*S[-1, Infinity]^2)/8 - (537*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((1605*S[-1, Infinity]*S[2, Infinity])/64 - (14005*S[3, Infinity])/896)*
    S[5, Infinity] + (17939*S[-1, Infinity]*S[7, Infinity])/896 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((113*S[-1, Infinity]^4)/560 + 
     (501*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 + (295*S[-5, -1, Infinity])/14 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-1600*S[-7, -1, Infinity] + 30931*S[5, 3, Infinity] + 
     46080*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((-173*S[-1, Infinity]^5)/420 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (19*S[-1, Infinity]*S[2, Infinity]^2)/10 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (144*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -3, -1, -2, Infinity] -> (-13*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (95479*S[2, Infinity]^4)/67200 + (27*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 - (33*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((155*S[-1, Infinity]*S[2, Infinity])/8 + (1065*S[3, Infinity])/256)*
    S[5, Infinity] + 8*S[2, Infinity]*S[-5, -1, Infinity] + 
   (416*S[-7, -1, Infinity] - 47*S[5, 3, Infinity])/64 + 
   S[2, Infinity]^2*((13*S[-1, Infinity]^4)/240 - 
     (13*S[-1, 1, 1, 1, Infinity])/10), S[-2, -3, -2, 1, Infinity] -> 
  (27*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (526889*S[2, Infinity]^4)/
    784000 + ((45*S[-1, Infinity]^2)/14 + (2295*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-9*S[-1, Infinity]*S[2, Infinity])/28 - 
     (7099*S[3, Infinity])/896)*S[5, Infinity] - 
   (10939*S[-1, Infinity]*S[7, Infinity])/896 - 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (72*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (36*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (53440*S[-7, -1, Infinity] - 17527*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/70 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-3*S[-1, Infinity]^5)/35 + (6*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (711*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -3, -2, -1, Infinity] -> 
  (127*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + (1022981*S[2, Infinity]^4)/
    784000 + ((-261*S[-1, Infinity]^2)/56 - (4311*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((10167*S[-1, Infinity]*S[2, Infinity])/448 + 
     (19623*S[3, Infinity])/1792)*S[5, Infinity] - 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (249*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (-53440*S[-7, -1, Infinity] + 17527*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-163*S[-1, Infinity]^4)/1680 + 
     (163*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 - (6*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (3141*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -4, 1, 1, Infinity] -> 
  (-741*S[2, Infinity]^4)/28000 + (39*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((-279*S[-1, Infinity]*S[2, Infinity])/64 - (129*S[3, Infinity])/32)*
    S[5, Infinity] - (9*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   (1511*S[5, 3, Infinity])/1280, S[-2, -4, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (339*S[-1, Infinity]^2*S[2, Infinity]^3)/112 + 
   (39829*S[2, Infinity]^4)/196000 + 
   ((949*S[-1, Infinity]^2)/224 - (46*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (8479*S[-1, Infinity]*S[2, Infinity])/448 + 
     (31051*S[3, Infinity])/1792)*S[5, Infinity] - 
   (135*S[-1, Infinity]*S[7, Infinity])/128 - 
   (47*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   4*S[-1, Infinity]*S[-5, 1, 1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((667*S[-1, Infinity]^4)/3360 + 
     (173*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (134*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (454400*S[-7, -1, Infinity] + 76609*S[5, 3, Infinity] + 
     48640*S[-5, -1, -1, -1, Infinity] + 58880*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-337*S[-1, Infinity]^5)/840 + 
     (239*S[-1, Infinity]^3*S[2, Infinity])/84 + 
     (589*S[-1, Infinity]*S[2, Infinity]^2)/56 + 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (92*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-2, -4, -1, 1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (149*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (366733*S[2, Infinity]^4)/
    392000 + ((73*S[-1, Infinity]^2)/224 + (135*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/8 - 
     (107*S[-1, Infinity]*S[2, Infinity])/7 + (141*S[3, Infinity])/896)*
    S[5, Infinity] + (9049*S[-1, Infinity]*S[7, Infinity])/448 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 15*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-153*S[-1, Infinity]^4)/1120 - 
     (381*S[-1, 1, 1, 1, Infinity])/140) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (26*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (18560*S[-7, -1, Infinity] - 989*S[5, 3, Infinity] - 
     7680*S[-5, -1, -1, -1, Infinity] + 7680*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((233*S[-1, Infinity]^5)/840 - 
     (45*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (831*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[-2, -4, -1, -1, Infinity] -> 
  (-403*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (75979*S[2, Infinity]^4)/784000 + 
   ((171*S[-1, Infinity]^2)/112 + (5433*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-6855*S[-1, Infinity]*S[2, Infinity])/224 - 
     (12085*S[3, Infinity])/448)*S[5, Infinity] + 
   (38*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (86*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-216960*S[-7, -1, Infinity] - 47377*S[5, 3, Infinity] - 
     30720*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/70 + 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/35 - (6*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (531*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 3, 1, 1, Infinity] -> 
  (-15*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - (17573*S[2, Infinity]^4)/
    235200 + ((-125*S[-1, Infinity]^2)/56 + (289*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 + 
     (655*S[-1, Infinity]*S[2, Infinity])/112 - (6117*S[3, Infinity])/1792)*
    S[5, Infinity] - (9517*S[-1, Infinity]*S[7, Infinity])/448 + 
   (25*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   (92*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-25*S[-5, 1, 1, Infinity] + 17*S[5, -1, -1, Infinity]))/
    7 + (-52352*S[-7, -1, Infinity] - 9341*S[5, 3, Infinity] - 
     4352*S[-5, -1, -1, -1, Infinity] - 6400*S[-5, -1, 1, 1, Infinity])/
    1792 + S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/168 + 
     (5*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    ((5*S[-1, Infinity]^5)/84 - (25*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (3697*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (50*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 3, 1, -1, Infinity] -> 
  S[-1, Infinity]^8/288 + (247*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (11161*S[2, Infinity]^4)/294000 + 
   ((239*S[-1, Infinity]^2)/224 - (1019*S[2, Infinity])/224)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 + 
     (1863*S[-1, Infinity]*S[2, Infinity])/112 + (27305*S[3, Infinity])/1792)*
    S[5, Infinity] - (83*S[-1, Infinity]^2*S[-5, -1, Infinity])/14 + 
   S[2, Infinity]^2*((53*S[-1, Infinity]^4)/420 - S[-1, 1, 1, 1, Infinity]/
      35) - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (319*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (60960*S[-7, -1, Infinity] + 10607*S[5, 3, Infinity] + 
     6560*S[-5, -1, -1, -1, Infinity] + 6880*S[-5, -1, 1, 1, Infinity] + 
     2240*S[-1, 1, 1, 1, Infinity]^2)/1120 + 
   S[3, Infinity]*((-221*S[-1, Infinity]^5)/1680 + 
     (221*S[-1, Infinity]^3*S[2, Infinity])/168 + 
     (10589*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (221*S[-1, 1, 1, 1, 1, Infinity])/14), S[-3, 3, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (1219*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (174947*S[2, Infinity]^4)/235200 + 
   ((171*S[-1, Infinity]^2)/224 + (3637*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/16 - 
     (2475*S[-1, Infinity]*S[2, Infinity])/112 - (152*S[3, Infinity])/7)*
    S[5, Infinity] + (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-67*S[-1, Infinity]^4)/840 - 
     (38*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + (9*S[-5, -1, Infinity])/14 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-4752*S[-7, -1, Infinity] - 885*S[5, 3, Infinity] - 
     1216*S[-5, -1, -1, -1, Infinity] - 128*S[-5, -1, 1, 1, Infinity] - 
     448*S[-1, 1, 1, 1, Infinity]^2)/224 + 
   S[3, Infinity]*((19*S[-1, Infinity]^5)/280 - 
     (19*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (3363*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (57*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 3, -1, -1, Infinity] -> 
  (-201*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (176849*S[2, Infinity]^4)/
    2352000 + ((-9*S[-1, Infinity]^2)/7 + (100*S[2, Infinity])/7)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/8 - 
     (15369*S[-1, Infinity]*S[2, Infinity])/448 - (7129*S[3, Infinity])/224)*
    S[5, Infinity] - (4321*S[-1, Infinity]*S[7, Infinity])/224 + 
   (66*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (463*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (6*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (-436160*S[-7, -1, Infinity] - 85801*S[5, 3, Infinity] - 
     61440*S[-5, -1, -1, -1, Infinity] - 46080*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/35 + 
     (72*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((6*S[-1, Infinity]^5)/35 - (12*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (993*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (144*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 2, 2, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/14 - (298251*S[2, Infinity]^4)/
    392000 + ((-25*S[-1, Infinity]^2)/28 - (225*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((5*S[-1, Infinity]*S[2, Infinity])/56 + 
     (8707*S[3, Infinity])/1792)*S[5, Infinity] - 
   (3603*S[-1, Infinity]*S[7, Infinity])/1792 + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (20*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (10*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-13520*S[-7, -1, Infinity] + 2683*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*(-S[-1, Infinity]^4/84 + 
     (2*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (S[-1, Infinity]^5/42 - (5*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/112 - 
     (20*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 2, 2, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (103*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (842147*S[2, Infinity]^4)/392000 + 
   ((13*S[-1, Infinity]^2)/7 + (1353*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-7779*S[-1, Infinity]*S[2, Infinity])/448 - (11539*S[3, Infinity])/896)*
    S[5, Infinity] + (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/105 - 
     (122*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - (104*S[-5, -1, Infinity])/7 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (60800*S[-7, -1, Infinity] - 29541*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] + 48640*S[-5, -1, 1, 1, Infinity] - 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/420 - 
     (11*S[-1, Infinity]^3*S[2, Infinity])/42 - 
     (1349*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     (22*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 2, 1, 2, Infinity] -> 
  (-381433*S[2, Infinity]^4)/168000 + (41*S[2, Infinity]*S[3, Infinity]^2)/
    128 + ((217*S[-1, Infinity]*S[2, Infinity])/64 + 
     (2543*S[3, Infinity])/256)*S[5, Infinity] - 
   (127*S[-1, Infinity]*S[7, Infinity])/4 + 
   (7*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (-20480*S[-7, -1, Infinity] - 3033*S[5, 3, Infinity])/1280, 
 S[-3, 2, 1, -2, Infinity] -> (22559*S[2, Infinity]^4)/24000 + 
   (37*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-217*S[-1, Infinity]*S[2, Infinity])/32 - (3629*S[3, Infinity])/256)*
    S[5, Infinity] - (7*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (2047*S[5, 3, Infinity])/1280, S[-3, 2, -1, 2, Infinity] -> 
  S[-1, Infinity]^8/72 + (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (46643*S[2, Infinity]^4)/10500 + 
   ((-9*S[-1, Infinity]^2)/8 - (267*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (24*S[-1, Infinity]*S[2, Infinity] + (1833*S[3, Infinity])/256)*
    S[5, Infinity] - 4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/20 + (18*S[-1, 1, 1, 1, Infinity])/
      5) + S[2, Infinity]*(-S[-1, Infinity]^6/6 + (37*S[-5, -1, Infinity])/
      2 + 4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-3200*S[-7, -1, Infinity] + 3223*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/10 + S[-1, Infinity]^3*S[2, Infinity] + 
     (1341*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 2, -1, -2, Infinity] -> 
  S[-1, Infinity]^8/72 + (891*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (7577249*S[2, Infinity]^4)/2352000 + 
   ((75*S[-1, Infinity]^2)/8 + (2825*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   (3*S[-1, Infinity]*S[2, Infinity] + (10207*S[3, Infinity])/448)*
    S[5, Infinity] - (28925*S[-1, Infinity]*S[7, Infinity])/448 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (48*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((65*S[-1, Infinity]^4)/336 + 
     (103*S[-1, 1, 1, 1, Infinity])/14) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - (299*S[-5, -1, Infinity])/28 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-28800*S[-7, -1, Infinity] - 6553*S[5, 3, Infinity] - 
     12800*S[-5, -1, -1, -1, Infinity] + 12800*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-19*S[-1, Infinity]^5)/28 + 
     (187*S[-1, Infinity]^3*S[2, Infinity])/42 + 
     (89*S[-1, Infinity]*S[2, Infinity]^2)/10 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (80*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-3, 2, -2, 1, Infinity] -> -S[-1, Infinity]^8/144 - 
   (S[-1, Infinity]^2*S[2, Infinity]^3)/10 + (36597*S[2, Infinity]^4)/28000 + 
   (187*S[2, Infinity]*S[3, Infinity]^2)/64 - 
   (4275*S[3, Infinity]*S[5, Infinity])/256 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/30 - (2*S[-1, 1, 1, 1, Infinity])/
      5) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-213*S[5, 3, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/120 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     7*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 2, -2, -1, Infinity] -> 
  (181*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - (326693*S[2, Infinity]^4)/
    156800 + ((45*S[-1, Infinity]^2)/16 - (23*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((357*S[-1, Infinity]*S[2, Infinity])/64 + 
     (3055*S[3, Infinity])/448)*S[5, Infinity] - 
   (37029*S[-1, Infinity]*S[7, Infinity])/896 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (26*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-16640*S[-7, -1, Infinity] + 689*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity])/896 + 
   S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/112 + 
     (15*S[-1, 1, 1, 1, Infinity])/14) + S[3, Infinity]*
    ((-41*S[-1, Infinity]^5)/168 + (107*S[-1, Infinity]^3*S[2, Infinity])/
      84 + (177*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 1, 3, 1, Infinity] -> 
  S[-1, Infinity]^8/288 + (7*S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (33849*S[2, Infinity]^4)/56000 + ((69*S[-1, Infinity]^2)/32 - 
     S[2, Infinity]/8)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity])/16 + (807*S[3, Infinity])/128)*
    S[5, Infinity] - (639*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/24 + 2*S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - 2*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (160*S[-7, -1, Infinity] + 51*S[5, 3, Infinity] - 
     160*S[-5, -1, -1, -1, Infinity] + 160*S[-5, -1, 1, 1, Infinity] + 
     320*S[-1, 1, 1, 1, Infinity]^2)/160 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/80 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (387*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 1, 3, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (132899*S[2, Infinity]^4)/56000 + 
   ((-47*S[-1, Infinity]^2)/32 - (271*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((573*S[-1, Infinity]*S[2, Infinity])/32 - (1133*S[3, Infinity])/256)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/60 - S[-1, 1, 1, 1, Infinity]/
      5) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 11*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (1280*S[-7, -1, Infinity] + 1921*S[5, 3, Infinity] + 
     3200*S[-5, -1, -1, -1, Infinity] - 3200*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((13*S[-1, Infinity]^5)/240 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (159*S[-1, Infinity]*S[2, Infinity]^2)/80 - 
     (13*S[-1, 1, 1, 1, 1, Infinity])/2), S[-3, 1, 2, 2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (99*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (166591*S[2, Infinity]^4)/56000 + 
   ((-89*S[-1, Infinity]^2)/16 - (229*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((39*S[-1, Infinity]*S[2, Infinity])/32 - (1555*S[3, Infinity])/128)*
    S[5, Infinity] + (11589*S[-1, Infinity]*S[7, Infinity])/256 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-17*S[-1, Infinity]^4)/96 - 
     (7*S[-1, 1, 1, 1, Infinity])/4) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (17*S[-5, -1, Infinity])/2 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (5600*S[-7, -1, Infinity] + 1519*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((43*S[-1, Infinity]^5)/120 - 
     (29*S[-1, Infinity]^3*S[2, Infinity])/12 - 
     (673*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 1, 2, -2, Infinity] -> 
  S[-1, Infinity]^8/72 + (123*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (14001*S[2, Infinity]^4)/28000 + ((49*S[-1, Infinity]^2)/16 - 
     (3*S[2, Infinity])/8)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/16 + (639*S[3, Infinity])/64)*
    S[5, Infinity] - (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((39*S[-1, Infinity]^4)/160 + 
     (123*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - S[-5, -1, Infinity] + 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (2851*S[5, 3, Infinity] + 
     10240*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/20 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/3 + 
     (861*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     7*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 1, 1, 3, Infinity] -> 
  (43*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (40427*S[2, Infinity]^4)/
    21000 + ((61*S[-1, Infinity]^2)/32 + (229*S[2, Infinity])/128)*
    S[3, Infinity]^2 + (-(S[-1, Infinity]*S[2, Infinity])/8 + 
     (1763*S[3, Infinity])/256)*S[5, Infinity] - 
   (3437*S[-1, Infinity]*S[7, Infinity])/128 - 
   S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[2, Infinity]*
    S[-5, -1, Infinity] - 2*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + (-8320*S[-7, -1, Infinity] - 
     1871*S[5, 3, Infinity] - 2560*S[-5, -1, -1, -1, Infinity] + 
     2560*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    ((-11*S[-1, Infinity]^4)/480 + (11*S[-1, 1, 1, 1, Infinity])/20) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/12 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (291*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (5*S[-1, 1, 1, 1, 1, Infinity])/2), S[-3, 1, 1, -3, Infinity] -> 
  -S[-1, Infinity]^8/288 - (3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 - 
   (1493*S[2, Infinity]^4)/12000 + ((-7*S[-1, Infinity]^2)/8 + 
     (21*S[2, Infinity])/32)*S[3, Infinity]^2 - 
   (45*S[3, Infinity]*S[5, Infinity])/8 + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   3*S[2, Infinity]^2*S[-1, 1, 1, 1, Infinity] + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + (-621*S[5, 3, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((23*S[-1, Infinity]^5)/240 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (21*S[-1, Infinity]*S[2, Infinity]^2)/8 - 2*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - (3*S[-1, 1, 1, 1, 1, Infinity])/2), 
 S[-3, 1, -1, 3, Infinity] -> -S[-1, Infinity]^8/288 - 
   (17*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (357037*S[2, Infinity]^4)/
    168000 + ((87*S[-1, Infinity]^2)/64 + (295*S[2, Infinity])/64)*
    S[3, Infinity]^2 + (-15*S[-1, Infinity]*S[2, Infinity] - 
     (899*S[3, Infinity])/128)*S[5, Infinity] + 
   (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/30 - (11*S[-1, 1, 1, 1, Infinity])/
      5) + (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - 15*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (5440*S[-7, -1, Infinity] - 791*S[5, 3, Infinity] - 
     3200*S[-5, -1, -1, -1, Infinity] + 3200*S[-5, -1, 1, 1, Infinity] - 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*(S[-1, Infinity]^5/120 - (S[-1, Infinity]^3*S[2, Infinity])/
      12 - (125*S[-1, Infinity]*S[2, Infinity]^2)/32 - 
     S[-1, 1, 1, 1, 1, Infinity]), S[-3, 1, -1, -3, Infinity] -> 
  S[-1, Infinity]^8/288 + (1931*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (11444*S[2, Infinity]^4)/18375 + ((1219*S[-1, Infinity]^2)/224 - 
     (5003*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/8 + (4943*S[-1, Infinity]*S[2, Infinity])/112 + 
     (46995*S[3, Infinity])/896)*S[5, Infinity] + 
   (37207*S[-1, Infinity]*S[7, Infinity])/896 - 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(43*S[-5, 1, 1, Infinity] - 41*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((17*S[-1, Infinity]^4)/105 - 
     (31*S[-1, 1, 1, 1, Infinity])/35) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 - (691*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (331040*S[-7, -1, Infinity] + 63369*S[5, 3, Infinity] + 
     46080*S[-5, -1, -1, -1, Infinity] + 34560*S[-5, -1, 1, 1, Infinity] + 
     4480*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-719*S[-1, Infinity]^5)/1680 + 
     (207*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (27431*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (237*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, 1, -2, 2, Infinity] -> 
  -S[-1, Infinity]^8/72 - (41*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (95881*S[2, Infinity]^4)/56000 + ((-49*S[-1, Infinity]^2)/16 - 
     (45*S[2, Infinity])/32)*S[3, Infinity]^2 - 
   (1345*S[3, Infinity]*S[5, Infinity])/256 + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/120 - 
     (41*S[-1, 1, 1, 1, Infinity])/5) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - 4*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + 
   (97*S[5, 3, Infinity] - 10240*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/20 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (287*S[-1, Infinity]*S[2, Infinity]^2)/40 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] - 7*S[-1, 1, 1, 1, 1, Infinity]), 
 S[-3, 1, -2, -2, Infinity] -> S[-1, Infinity]^8/144 + 
   (133*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (50357*S[2, Infinity]^4)/22400 + ((89*S[-1, Infinity]^2)/16 + 
     (5*S[2, Infinity])/2)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity])/4 + (881*S[3, Infinity])/64)*
    S[5, Infinity] - (4207*S[-1, Infinity]*S[7, Infinity])/128 - 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((17*S[-1, Infinity]^4)/160 + 
     (69*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 - 8*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-160*S[-7, -1, Infinity] - 81*S[5, 3, Infinity] - 
     256*S[-5, -1, -1, -1, Infinity] + 256*S[-5, -1, 1, 1, Infinity] + 
     256*S[-1, 1, 1, 1, Infinity]^2)/64 + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/120 + (29*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (911*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     8*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 1, -3, 1, Infinity] -> 
  S[-1, Infinity]^8/96 + (13*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (951*S[2, Infinity]^4)/1400 + (49*S[-1, Infinity]^2*S[3, Infinity]^2)/32 + 
   (273*S[3, Infinity]*S[5, Infinity])/64 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   6*S[-1, 1, 1, 1, Infinity]^2 + S[2, Infinity]^2*
    ((4*S[-1, Infinity]^4)/15 + (13*S[-1, 1, 1, 1, Infinity])/5) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/8 + 3*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + S[3, Infinity]*
    ((-49*S[-1, Infinity]^5)/240 + (35*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (91*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     7*S[-1, 1, 1, 1, 1, Infinity]), S[-3, 1, -3, -1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (31*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (1279*S[2, Infinity]^4)/2800 + ((-25*S[-1, Infinity]^2)/4 - 
     (5*S[2, Infinity])/8)*S[3, Infinity]^2 - 
   (235*S[-1, Infinity]*S[2, Infinity]*S[5, Infinity])/16 + 
   (4973*S[-1, Infinity]*S[7, Infinity])/128 + 5*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 5*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + 
     S[5, -1, -1, Infinity]) + S[2, Infinity]^2*(-S[-1, Infinity]^4/80 - 
     (27*S[-1, 1, 1, 1, Infinity])/10) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 - 
   2*S[-1, 1, 1, 1, Infinity]^2 + S[3, Infinity]*((7*S[-1, Infinity]^5)/16 - 
     (21*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (1259*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (21*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + S[-5, -1, Infinity]/2 - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]), 
 S[-3, -1, 3, 1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (76053*S[2, Infinity]^4)/56000 + ((-9*S[-1, Infinity]^2)/32 - 
     (111*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   (6*S[-1, Infinity]*S[2, Infinity] - (3*S[3, Infinity])/128)*
    S[5, Infinity] - S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   9*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-10880*S[-7, -1, Infinity] + 3009*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity])/
    1280 + S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/120 + 
     (7*S[-1, 1, 1, 1, Infinity])/5) + S[3, Infinity]*
    (S[-1, Infinity]^5/240 - (S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (163*S[-1, Infinity]*S[2, Infinity]^2)/80 - S[-1, 1, 1, 1, 1, Infinity]/
      2), S[-3, -1, 3, -1, Infinity] -> 
  (1409*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (4498157*S[2, Infinity]^4)/784000 + 
   ((233*S[-1, Infinity]^2)/28 - (2421*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/4 + (15859*S[-1, Infinity]*S[2, Infinity])/224 + 
     (13623*S[3, Infinity])/112)*S[5, Infinity] + 
   (34437*S[-1, Infinity]*S[7, Infinity])/896 - 
   (223*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (705*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(79*S[-5, 1, 1, Infinity] - 89*S[5, -1, -1, Infinity]))/
    7 + (579200*S[-7, -1, Infinity] + 122993*S[5, 3, Infinity] + 
     92160*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((829*S[-1, Infinity]^4)/3360 - 
     (829*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-1109*S[-1, Infinity]^5)/1680 + 
     (337*S[-1, Infinity]^3*S[2, Infinity])/56 + 
     (1511*S[-1, Infinity]*S[2, Infinity]^2)/35 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     (432*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, -1, 2, 2, Infinity] -> 
  -S[-1, Infinity]^8/144 + (7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (6323*S[2, Infinity]^4)/4000 + ((9*S[-1, Infinity]^2)/16 + 
     (61*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   (-12*S[-1, Infinity]*S[2, Infinity] + (15*S[3, Infinity])/16)*
    S[5, Infinity] + 2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/24 + S[-1, 1, 1, 1, Infinity]) + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - 3*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-8480*S[-7, -1, Infinity] - 2153*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*(S[-1, Infinity]^5/20 - (S[-1, Infinity]^3*S[2, Infinity])/
      2 - (177*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-3, -1, 2, -2, Infinity] -> 
  -S[-1, Infinity]^8/36 - (359*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - 
   (445271*S[2, Infinity]^4)/112000 + 
   (-5*S[-1, Infinity]^2 + (71*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((-47*S[-1, Infinity]*S[2, Infinity])/4 - (67*S[3, Infinity])/128)*
    S[5, Infinity] + (651*S[-1, Infinity]*S[7, Infinity])/128 + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + 4*S[-1, Infinity]*
    (S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*((-59*S[-1, Infinity]^4)/160 - 
     (303*S[-1, 1, 1, 1, Infinity])/20) + 
   (4*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/8 - 
     (21*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (129*S[-1, Infinity]*S[2, Infinity]^2)/16 - 21*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]) + S[2, Infinity]*(S[-1, Infinity]^6/3 - 
     S[-5, -1, Infinity]/2 - 8*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2240*S[-7, -1, Infinity] - 487*S[5, 3, Infinity] - 
     10240*S[-1, 1, 1, 1, Infinity]^2)/640, S[-3, -1, 1, 3, Infinity] -> 
  S[-1, Infinity]^8/288 + (13*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (182159*S[2, Infinity]^4)/168000 + 
   ((-9*S[-1, Infinity]^2)/64 - (25*S[2, Infinity])/16)*S[3, Infinity]^2 + 
   (3*S[-1, Infinity]*S[2, Infinity] + (1005*S[3, Infinity])/256)*
    S[5, Infinity] - (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 + (7*S[-1, 1, 1, 1, Infinity])/5) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + 7*S[-5, -1, Infinity] + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2880*S[-7, -1, Infinity] - 149*S[5, 3, Infinity] + 
     320*S[-5, -1, -1, -1, Infinity] - 320*S[-5, -1, 1, 1, Infinity] + 
     640*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/240 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 + 
     (193*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2), S[-3, -1, 1, -3, Infinity] -> 
  S[-1, Infinity]^8/288 - (1693*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (103927*S[2, Infinity]^4)/294000 + 
   ((-67*S[-1, Infinity]^2)/14 + (635*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/8 - (4943*S[-1, Infinity]*S[2, Infinity])/112 - 
     (11187*S[3, Infinity])/224)*S[5, Infinity] - 
   (37207*S[-1, Infinity]*S[7, Infinity])/896 + 
   (115*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-43*S[-5, 1, 1, Infinity] + 41*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/56 + 
     (30*S[-1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 + (677*S[-5, -1, Infinity])/14 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-40680*S[-7, -1, Infinity] - 7929*S[5, 3, Infinity] - 
     5760*S[-5, -1, -1, -1, Infinity] - 4320*S[-5, -1, 1, 1, Infinity] + 
     560*S[-1, 1, 1, 1, Infinity]^2)/280 + 
   S[3, Infinity]*((151*S[-1, Infinity]^5)/560 - 
     (151*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (4845*S[-1, Infinity]*S[2, Infinity]^2)/224 - 
     (453*S[-1, 1, 1, 1, 1, Infinity])/14), S[-3, -1, -1, 3, Infinity] -> 
  (-1409*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - 
   (2352689*S[2, Infinity]^4)/2352000 + 
   ((-99*S[-1, Infinity]^2)/14 + (2491*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/4 - (2307*S[-1, Infinity]*S[2, Infinity])/28 - 
     (87179*S[3, Infinity])/896)*S[5, Infinity] - 
   (42569*S[-1, Infinity]*S[7, Infinity])/448 + 
   (216*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (684*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (24*S[-1, Infinity]*(3*S[-5, 1, 1, Infinity] - 4*S[5, -1, -1, Infinity]))/
    7 + (-1304000*S[-7, -1, Infinity] - 250571*S[5, 3, Infinity] - 
     184320*S[-5, -1, -1, -1, Infinity] - 138240*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-731*S[-1, Infinity]^4)/3360 + 
     (731*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((323*S[-1, Infinity]^5)/560 - 
     (309*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (46959*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (432*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, -1, -1, -3, Infinity] -> 
  -S[-1, Infinity]^8/288 - (S[-1, Infinity]^2*S[2, Infinity]^3)/10 + 
   (6989*S[2, Infinity]^4)/16800 - (9*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (435*S[3, Infinity]*S[5, Infinity])/128 + S[2, Infinity]^2*
    ((-13*S[-1, Infinity]^4)/120 - (2*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[3, Infinity]*(S[-1, Infinity]^5/16 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (57*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (3*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 + 10*S[-5, -1, Infinity] - 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2240*S[-7, -1, Infinity] - 369*S[5, 3, Infinity] - 
     256*S[-1, 1, 1, 1, Infinity]^2)/128, S[-3, -1, -2, 2, Infinity] -> 
  (-59*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (35789*S[2, Infinity]^4)/
    22400 + (-5*S[-1, Infinity]^2 - (59*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-221*S[-1, Infinity]*S[2, Infinity])/32 + 
     (1215*S[3, Infinity])/128)*S[5, Infinity] + 
   (397*S[-1, Infinity]*S[7, Infinity])/128 + 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + 2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-1472*S[-7, -1, Infinity] - 281*S[5, 3, Infinity])/128 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/160 - (3*S[-1, 1, 1, 1, Infinity])/
      20) + S[3, Infinity]*((7*S[-1, Infinity]^5)/24 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/4 - 
     (379*S[-1, Infinity]*S[2, Infinity]^2)/80 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity]), S[-3, -1, -2, -2, Infinity] -> 
  S[-1, Infinity]^8/144 + (43*S[-1, Infinity]^2*S[2, Infinity]^3)/80 + 
   (219253*S[2, Infinity]^4)/112000 + 
   ((-9*S[-1, Infinity]^2)/16 - S[2, Infinity]/32)*S[3, Infinity]^2 + 
   ((37*S[-1, Infinity]*S[2, Infinity])/16 + S[3, Infinity]/8)*
    S[5, Infinity] - 2*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((23*S[-1, Infinity]^4)/160 + 
     (51*S[-1, 1, 1, 1, Infinity])/20) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + 8*S[-5, -1, Infinity] + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-2560*S[-7, -1, Infinity] + 513*S[5, 3, Infinity] + 
     1280*S[-5, -1, -1, -1, Infinity] - 1280*S[-5, -1, 1, 1, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/20 + (S[-1, Infinity]^3*S[2, Infinity])/
      2 + (177*S[-1, Infinity]*S[2, Infinity]^2)/40 + 
     6*S[-1, 1, 1, 1, 1, Infinity]), S[-3, -1, -3, 1, Infinity] -> 
  -S[-1, Infinity]^8/96 + (543*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (642501*S[2, Infinity]^4)/196000 + 
   ((181*S[-1, Infinity]^2)/28 - (143*S[2, Infinity])/7)*S[3, Infinity]^2 + 
   ((-93*S[-1, Infinity]^3)/4 + (1987*S[-1, Infinity]*S[2, Infinity])/112 + 
     (48381*S[3, Infinity])/896)*S[5, Infinity] + 
   (46939*S[-1, Infinity]*S[7, Infinity])/896 - 
   (95*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(65*S[-5, 1, 1, Infinity] - 103*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-11*S[-1, Infinity]^4)/840 - 
     (304*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/2 + 
   S[2, Infinity]*(S[-1, Infinity]^6/8 - (733*S[-5, -1, Infinity])/14 - 
     3*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (615040*S[-7, -1, Infinity] + 122517*S[5, 3, Infinity] + 
     92160*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity] - 
     26880*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/840 + 
     (23*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (18349*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, -1, -3, -1, Infinity] -> 
  S[-1, Infinity]^8/288 - (597*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + 
   (250641*S[2, Infinity]^4)/196000 + 
   ((9*S[-1, Infinity]^2)/14 + (621*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((-432*S[-1, Infinity]*S[2, Infinity])/7 - (12279*S[3, Infinity])/224)*
    S[5, Infinity] + (114*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/56 + 
     (30*S[-1, 1, 1, 1, Infinity])/7) + S[2, Infinity]*
    (-S[-1, Infinity]^6/24 + (342*S[-5, -1, Infinity])/7 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-615040*S[-7, -1, Infinity] - 122517*S[5, 3, Infinity] - 
     92160*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity] + 
     8960*S[-1, 1, 1, 1, Infinity]^2)/4480 + 
   S[3, Infinity]*((9*S[-1, Infinity]^5)/35 - 
     (18*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (1593*S[-1, Infinity]*S[2, Infinity]^2)/70 - 
     (216*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, -2, 2, 1, Infinity] -> 
  S[-1, Infinity]^8/144 + (S[-1, Infinity]^2*S[2, Infinity]^3)/10 - 
   (12001*S[2, Infinity]^4)/11200 - (91*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (451*S[3, Infinity]*S[5, Infinity])/32 + S[2, Infinity]^2*
    ((7*S[-1, Infinity]^4)/30 + (2*S[-1, 1, 1, 1, Infinity])/5) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + 2*S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + 
   (821*S[5, 3, Infinity] + 1024*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((-7*S[-1, Infinity]^5)/120 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/12 + 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     7*S[-1, 1, 1, 1, 1, Infinity]), S[-3, -2, 2, -1, Infinity] -> 
  (-321*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (1041237*S[2, Infinity]^4)/784000 + 
   ((-143*S[-1, Infinity]^2)/16 - (537*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-229*S[-1, Infinity]*S[2, Infinity])/32 - 
     (2869*S[3, Infinity])/896)*S[5, Infinity] + 
   (5865*S[-1, Infinity]*S[7, Infinity])/112 + 4*S[-1, Infinity]^2*
    S[-5, -1, Infinity] + (72*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (46*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-24320*S[-7, -1, Infinity] + 13509*S[5, 3, Infinity] + 
     23040*S[-5, -1, -1, -1, Infinity] - 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((-37*S[-1, Infinity]^4)/1680 + 
     (37*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((317*S[-1, Infinity]^5)/840 - (73*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (1523*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (72*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, -2, 1, 2, Infinity] -> 
  (362111*S[2, Infinity]^4)/168000 + (141*S[2, Infinity]*S[3, Infinity]^2)/
    64 - (1739*S[3, Infinity]*S[5, Infinity])/128 - 
   (3849*S[5, 3, Infinity])/1280, S[-3, -2, 1, -2, Infinity] -> 
  (-143623*S[2, Infinity]^4)/67200 - (17*S[2, Infinity]*S[3, Infinity]^2)/
    128 + (605*S[3, Infinity]*S[5, Infinity])/64 - 
   (1651*S[-1, Infinity]*S[7, Infinity])/128 + 
   (-416*S[-7, -1, Infinity] + 43*S[5, 3, Infinity])/64, 
 S[-3, -2, -1, 2, Infinity] -> S[-1, Infinity]^8/72 + 
   (733*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (4574261*S[2, Infinity]^4)/2352000 + 
   ((103*S[-1, Infinity]^2)/8 + (3421*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-101*S[-1, Infinity]*S[2, Infinity])/64 + (3821*S[3, Infinity])/448)*
    S[5, Infinity] - (22861*S[-1, Infinity]*S[7, Infinity])/448 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (64*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 - 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((209*S[-1, Infinity]^4)/560 + 
     (213*S[-1, 1, 1, 1, Infinity])/70) + S[2, Infinity]*
    (-S[-1, Infinity]^6/6 - (281*S[-5, -1, Infinity])/14 + 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (24320*S[-7, -1, Infinity] - 14237*S[5, 3, Infinity] - 
     23040*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity] + 
     17920*S[-1, 1, 1, 1, Infinity]^2)/2240 + 
   S[3, Infinity]*((-317*S[-1, Infinity]^5)/420 + 
     (73*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (109*S[-1, Infinity]*S[2, Infinity]^2)/10 + 14*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (144*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-3, -2, -1, -2, Infinity] -> -S[-1, Infinity]^8/72 - 
   (43*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (1689041*S[2, Infinity]^4)/
    336000 + ((9*S[-1, Infinity]^2)/8 + (179*S[2, Infinity])/32)*
    S[3, Infinity]^2 + ((-923*S[-1, Infinity]*S[2, Infinity])/32 - 
     (2773*S[3, Infinity])/256)*S[5, Infinity] + 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] + S[2, Infinity]^2*
    ((-23*S[-1, Infinity]^4)/80 - (51*S[-1, 1, 1, 1, Infinity])/10) + 
   (2*S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/6 - 21*S[-5, -1, Infinity] - 
     4*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (800*S[-7, -1, Infinity] - 397*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] + 2560*S[-5, -1, 1, 1, Infinity] - 
     2560*S[-1, 1, 1, 1, Infinity]^2)/320 + 
   S[3, Infinity]*(S[-1, Infinity]^5/10 - S[-1, Infinity]^3*S[2, Infinity] - 
     (1551*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-3, -2, -2, 1, Infinity] -> 
  (-27*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (359*S[2, Infinity]^4)/6125 + 
   ((-45*S[-1, Infinity]^2)/28 - (115*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((9*S[-1, Infinity]*S[2, Infinity])/56 + (1415*S[3, Infinity])/1792)*
    S[5, Infinity] + (10359*S[-1, Infinity]*S[7, Infinity])/896 + 
   (9*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (36*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (18*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (9*(-3200*S[-7, -1, Infinity] + 1557*S[5, 3, Infinity] + 
      2560*S[-5, -1, -1, -1, Infinity] - 2560*S[-5, -1, 1, 1, Infinity]))/
    8960 + S[2, Infinity]^2*((-3*S[-1, Infinity]^4)/140 + 
     (18*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((3*S[-1, Infinity]^5)/70 - (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (711*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, -2, -2, -1, Infinity] -> 
  S[-1, Infinity]^8/144 + (89*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1205839*S[2, Infinity]^4)/392000 + 
   ((99*S[-1, Infinity]^2)/56 + (59*S[2, Infinity])/56)*S[3, Infinity]^2 + 
   ((1695*S[-1, Infinity]*S[2, Infinity])/224 - (2395*S[3, Infinity])/1792)*
    S[5, Infinity] - (5*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((29*S[-1, Infinity]^4)/210 + 
     (94*S[-1, 1, 1, 1, Infinity])/35) + S[2, Infinity]*
    (-S[-1, Infinity]^6/12 + (20*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (78080*S[-7, -1, Infinity] - 2953*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] - 12800*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-13*S[-1, Infinity]^5)/140 + 
     (13*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (8889*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (78*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, -3, 1, 1, Infinity] -> 
  -S[-1, Infinity]^8/288 - (S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (13597*S[2, Infinity]^4)/84000 + (19*S[2, Infinity]*S[3, Infinity]^2)/64 - 
   (263*S[3, Infinity]*S[5, Infinity])/64 + S[2, Infinity]^2*
    ((-7*S[-1, Infinity]^4)/60 - S[-1, 1, 1, 1, Infinity]/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]*(S[-1, Infinity]^6/24 - S[-1, Infinity]^2*
      S[-1, 1, 1, 1, Infinity]) + 
   (907*S[5, 3, Infinity] - 1280*S[-1, 1, 1, 1, Infinity]^2)/640 + 
   S[3, Infinity]*((7*S[-1, Infinity]^5)/240 - 
     (7*S[-1, Infinity]^3*S[2, Infinity])/24 - 
     (7*S[-1, Infinity]*S[2, Infinity]^2)/40 - 
     (7*S[-1, 1, 1, 1, 1, Infinity])/2), S[-3, -3, 1, -1, Infinity] -> 
  (-39*S[-1, Infinity]^2*S[2, Infinity]^3)/14 - (2527843*S[2, Infinity]^4)/
    1176000 + ((41*S[-1, Infinity]^2)/56 + (10713*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((93*S[-1, Infinity]^3)/16 - 
     (5041*S[-1, Infinity]*S[2, Infinity])/224 - (31021*S[3, Infinity])/1792)*
    S[5, Infinity] - (5279*S[-1, Infinity]*S[7, Infinity])/112 + 
   (40*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (649*S[2, Infinity]*S[-5, -1, Infinity])/28 + 
   (2*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (-744960*S[-7, -1, Infinity] - 127193*S[5, 3, Infinity] - 
     92160*S[-5, -1, -1, -1, Infinity] - 69120*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-251*S[-1, Infinity]^4)/3360 + 
     (251*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((-29*S[-1, Infinity]^5)/1680 - 
     (23*S[-1, Infinity]^3*S[2, Infinity])/56 - 
     (8987*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7), S[-3, -3, -1, 1, Infinity] -> 
  S[-1, Infinity]^8/288 + (1213*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (86711*S[2, Infinity]^4)/84000 + ((-47*S[-1, Infinity]^2)/56 - 
     (19*S[2, Infinity])/128)*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]^3)/16 + (739*S[-1, Infinity]*S[2, Infinity])/56 + 
     (1873*S[3, Infinity])/256)*S[5, Infinity] - 
   (30647*S[-1, Infinity]*S[7, Infinity])/896 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (S[-1, Infinity]*(-11*S[-5, 1, 1, Infinity] + 31*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/6 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 + (11*S[-1, 1, 1, 1, Infinity])/
      5) + S[3, Infinity]*((-7*S[-1, Infinity]^5)/48 + 
     (7*S[-1, Infinity]^3*S[2, Infinity])/8 + 
     (181*S[-1, Infinity]*S[2, Infinity]^2)/70 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/24 + (7*S[-5, -1, Infinity])/4 + 
     S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-6720*S[-7, -1, Infinity] - 351*S[5, 3, Infinity] + 
     1280*S[-1, 1, 1, 1, Infinity]^2)/640, S[-3, -3, -1, -1, Infinity] -> 
  (1299*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (1085053*S[2, Infinity]^4)/1176000 + 
   ((-9*S[-1, Infinity]^2)/28 - (321*S[2, Infinity])/28)*S[3, Infinity]^2 + 
   ((14055*S[-1, Infinity]*S[2, Infinity])/448 + (13259*S[3, Infinity])/448)*
    S[5, Infinity] - (57*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (185*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (650880*S[-7, -1, Infinity] + 134977*S[5, 3, Infinity] + 
     92160*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((9*S[-1, Infinity]^4)/140 - 
     (54*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-9*S[-1, Infinity]^5)/70 + (9*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (1593*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (108*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, 2, 1, 1, Infinity] -> 
  (3*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + (556967*S[2, Infinity]^4)/
    1176000 + ((25*S[-1, Infinity]^2)/14 - (31*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 - 
     (55*S[-1, Infinity]*S[2, Infinity])/14 + (43*S[3, Infinity])/112)*
    S[5, Infinity] + (45545*S[-1, Infinity]*S[7, Infinity])/1792 - 
   (10*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (68*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (4*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]))/
    7 + (60080*S[-7, -1, Infinity] + 10223*S[5, 3, Infinity] + 
     2560*S[-5, -1, -1, -1, Infinity] + 6400*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*(S[-1, Infinity]^4/42 - 
     (4*S[-1, 1, 1, 1, Infinity])/7) + S[3, Infinity]*
    (-S[-1, Infinity]^5/21 + (10*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (341*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (40*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, 2, 1, -1, Infinity] -> 
  (-123*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (524381*S[2, Infinity]^4)/294000 + 
   ((-41*S[-1, Infinity]^2)/28 - (519*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/24 + (53*S[-1, Infinity]*S[2, Infinity])/56 - 
     (2669*S[3, Infinity])/1792)*S[5, Infinity] + 
   (18*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (325*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (-336640*S[-7, -1, Infinity] - 30161*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] - 61440*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((-169*S[-1, Infinity]^4)/1120 + 
     (507*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((17*S[-1, Infinity]^5)/210 - 
     (17*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (2809*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (68*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, 2, -1, 1, Infinity] -> 
  (17*S[-1, Infinity]^2*S[2, Infinity]^3)/16 - (92243*S[2, Infinity]^4)/
    84000 - (259*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((31*S[-1, Infinity]^3)/24 + (31*S[-1, Infinity]*S[2, Infinity])/8 + 
     (4047*S[3, Infinity])/256)*S[5, Infinity] - 
   (17*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (22400*S[-7, -1, Infinity] + 2279*S[5, 3, Infinity] + 
     5120*S[-5, -1, 1, 1, Infinity])/1280 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/120 + S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/
      3 + (347*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-4, 2, -1, -1, Infinity] -> 
  (283*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (5637601*S[2, Infinity]^4)/
    2352000 + ((-53*S[-1, Infinity]^2)/16 - (5195*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/12 + 
     (1427*S[-1, Infinity]*S[2, Infinity])/64 + (3995*S[3, Infinity])/224)*
    S[5, Infinity] + (43149*S[-1, Infinity]*S[7, Infinity])/896 - 
   4*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (249*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (2*S[-1, Infinity]*(5*S[-5, 1, 1, Infinity] + 19*S[5, -1, -1, Infinity]))/
    7 + (165600*S[-7, -1, Infinity] + 31637*S[5, 3, Infinity] + 
     24320*S[-5, -1, -1, -1, Infinity] + 11520*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((107*S[-1, Infinity]^4)/1680 - 
     (107*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((131*S[-1, Infinity]^5)/840 - (11*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (567*S[-1, Infinity]*S[2, Infinity]^2)/80 - 7*S[-1, Infinity]*
      S[-1, 1, 1, 1, Infinity] + (114*S[-1, 1, 1, 1, 1, Infinity])/7), 
 S[-4, 1, 2, 1, Infinity] -> (6*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (58307*S[2, Infinity]^4)/294000 + 
   ((5*S[-1, Infinity]^2)/7 + (33*S[2, Infinity])/14)*S[3, Infinity]^2 + 
   (-(S[-1, Infinity]*S[2, Infinity])/14 - (2069*S[3, Infinity])/448)*
    S[5, Infinity] - (4969*S[-1, Infinity]*S[7, Infinity])/448 - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (16*S[2, Infinity]*S[-5, -1, Infinity])/7 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (-14080*S[-7, -1, Infinity] - 25597*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*(S[-1, Infinity]^4/105 - 
     (8*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-2*S[-1, Infinity]^5)/105 + (4*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (79*S[-1, Infinity]*S[2, Infinity]^2)/140 + 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, 1, 2, -1, Infinity] -> 
  (-299*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (174683*S[2, Infinity]^4)/1176000 + 
   ((-29*S[-1, Infinity]^2)/28 - (157*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((1263*S[-1, Infinity]*S[2, Infinity])/448 - (943*S[3, Infinity])/224)*
    S[5, Infinity] - (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (23*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (-8320*S[-7, -1, Infinity] - 4517*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((283*S[-1, Infinity]^4)/3360 - 
     (283*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*((2*S[-1, Infinity]^5)/105 - 
     (4*S[-1, Infinity]^3*S[2, Infinity])/21 - 
     (979*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (16*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, 1, 1, 2, Infinity] -> 
  (7327*S[2, Infinity]^4)/21000 - (5*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/64 - (131*S[3, Infinity])/64)*
    S[5, Infinity] + (3429*S[-1, Infinity]*S[7, Infinity])/256 - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/4 + 
   (540*S[-7, -1, Infinity] + 151*S[5, 3, Infinity])/80, 
 S[-4, 1, 1, -2, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + 
   (6473*S[2, Infinity]^4)/168000 + (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/32 - (133*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/32 + (205*S[3, Infinity])/32)*
    S[5, Infinity] + (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (903*S[5, 3, Infinity])/1280 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/32 + (3*S[-1, 1, 1, 1, Infinity])/4), 
 S[-4, 1, -1, 2, Infinity] -> (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/28 - 
   (1348471*S[2, Infinity]^4)/1176000 + 
   ((9*S[-1, Infinity]^2)/56 - (379*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-24*S[-1, Infinity]*S[2, Infinity])/7 + (8979*S[3, Infinity])/1792)*
    S[5, Infinity] + (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/14 + 
   (-54400*S[-7, -1, Infinity] - 8741*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((23*S[-1, Infinity]^4)/1680 - 
     (23*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    (S[-1, Infinity]^5/70 - (S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (3201*S[-1, Infinity]*S[2, Infinity]^2)/1120 - 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, 1, -1, -2, Infinity] -> 
  -S[-1, Infinity]^8/144 - (3327*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (6229*S[2, Infinity]^4)/3360 + ((-1845*S[-1, Infinity]^2)/224 + 
     (829*S[2, Infinity])/64)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/4 - (1619*S[-1, Infinity]*S[2, Infinity])/56 - 
     (1587*S[3, Infinity])/32)*S[5, Infinity] + 
   (4295*S[-1, Infinity]*S[7, Infinity])/896 + 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (2*S[-1, Infinity]*(27*S[-5, 1, 1, Infinity] - S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-91*S[-1, Infinity]^4)/480 - 
     (29*S[-1, 1, 1, 1, Infinity])/20) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (163*S[-5, -1, Infinity])/4 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-24064*S[-7, -1, Infinity] - 4579*S[5, 3, Infinity] - 
     2560*S[-5, -1, -1, -1, Infinity] - 3584*S[-5, -1, 1, 1, Infinity] - 
     1024*S[-1, 1, 1, 1, Infinity]^2)/256 + 
   S[3, Infinity]*((11*S[-1, Infinity]^5)/20 - 
     (13*S[-1, Infinity]^3*S[2, Infinity])/3 - 
     (11203*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     31*S[-1, 1, 1, 1, 1, Infinity]), S[-4, 1, -2, 1, Infinity] -> 
  (-2917*S[2, Infinity]^4)/168000 - (11*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   (623*S[3, Infinity]*S[5, Infinity])/256 - (417*S[5, 3, Infinity])/1280, 
 S[-4, 1, -2, -1, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity]^3)/7 - 
   (881537*S[2, Infinity]^4)/2352000 + 
   ((7*S[-1, Infinity]^2)/4 + (983*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((S[-1, Infinity]*S[2, Infinity])/64 + (4287*S[3, Infinity])/1792)*
    S[5, Infinity] - (131*S[-1, Infinity]*S[7, Infinity])/112 - 
   (57*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (8*S[-1, Infinity]*(S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]))/7 + 
   (19520*S[-7, -1, Infinity] - 3253*S[5, 3, Infinity] - 
     10240*S[-5, -1, -1, -1, Infinity] + 10240*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((2*S[-1, Infinity]^4)/105 - 
     (16*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-4*S[-1, Infinity]^5)/105 + (8*S[-1, Infinity]^3*S[2, Infinity])/21 + 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/32 + 
     (32*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, -1, 2, 1, Infinity] -> 
  (5*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (45107*S[2, Infinity]^4)/
    168000 - (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (47*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (83*S[3, Infinity]*S[5, Infinity])/128 - 5*S[2, Infinity]*
    S[-5, -1, Infinity] + (4000*S[-7, -1, Infinity] - 659*S[5, 3, Infinity])/
    640 + S[2, Infinity]^2*((-5*S[-1, Infinity]^4)/96 + 
     (5*S[-1, 1, 1, 1, Infinity])/4), S[-4, -1, 2, -1, Infinity] -> 
  (-415*S[-1, Infinity]^2*S[2, Infinity]^3)/56 + (5330047*S[2, Infinity]^4)/
    2352000 + ((-47*S[-1, Infinity]^2)/112 + (14409*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (11465*S[-1, Infinity]*S[2, Infinity])/224 - (76633*S[3, Infinity])/896)*
    S[5, Infinity] - (5731*S[-1, Infinity]*S[7, Infinity])/128 + 
   (142*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (398*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]) - 
   (3*(31320*S[-7, -1, Infinity] + 7253*S[5, 3, Infinity] + 
      6080*S[-5, -1, -1, -1, Infinity] + 2880*S[-5, -1, 1, 1, Infinity]))/
    560 + S[2, Infinity]^2*((-251*S[-1, Infinity]^4)/1680 + 
     (251*S[-1, 1, 1, 1, Infinity])/70) + S[3, Infinity]*
    ((11*S[-1, Infinity]^5)/168 - (51*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (29289*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (300*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, -1, 1, 2, Infinity] -> 
  (-27*S[-1, Infinity]^2*S[2, Infinity]^3)/112 - (678421*S[2, Infinity]^4)/
    1176000 + ((-9*S[-1, Infinity]^2)/56 - (769*S[2, Infinity])/448)*
    S[3, Infinity]^2 + ((24*S[-1, Infinity]*S[2, Infinity])/7 + 
     (7653*S[3, Infinity])/1792)*S[5, Infinity] - 
   (4*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (19*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (99200*S[-7, -1, Infinity] + 32569*S[5, 3, Infinity] + 
     10240*S[-5, -1, -1, -1, Infinity] - 10240*S[-5, -1, 1, 1, Infinity])/
    8960 + S[2, Infinity]^2*((269*S[-1, Infinity]^4)/3360 - 
     (269*S[-1, 1, 1, 1, Infinity])/140) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/70 + (S[-1, Infinity]^3*S[2, Infinity])/
      7 + (1521*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (12*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, -1, 1, -2, Infinity] -> 
  S[-1, Infinity]^8/144 + (3167*S[-1, Infinity]^2*S[2, Infinity]^3)/560 + 
   (1238191*S[2, Infinity]^4)/588000 + 
   ((1061*S[-1, Infinity]^2)/224 - (13691*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/4 + 
     (2011*S[-1, Infinity]*S[2, Infinity])/56 + (55259*S[3, Infinity])/1792)*
    S[5, Infinity] + (13569*S[-1, Infinity]*S[7, Infinity])/448 - 
   (89*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (2*S[-1, Infinity]*(19*S[-5, 1, 1, Infinity] - 9*S[5, -1, -1, Infinity]))/
    7 - (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*((509*S[-1, Infinity]^4)/3360 + 
     (331*S[-1, 1, 1, 1, Infinity])/140) + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 - (439*S[-5, -1, Infinity])/14 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (912000*S[-7, -1, Infinity] + 176987*S[5, 3, Infinity] + 
     130560*S[-5, -1, -1, -1, Infinity] + 84480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-199*S[-1, Infinity]^5)/420 + 
     (25*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (20271*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] + 
     (153*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, -1, -1, 2, Infinity] -> 
  (579*S[-1, Infinity]^2*S[2, Infinity]^3)/70 + (6449497*S[2, Infinity]^4)/
    2352000 + ((207*S[-1, Infinity]^2)/112 - (3695*S[2, Infinity])/112)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/2 + 
     (28179*S[-1, Infinity]*S[2, Infinity])/448 + (53239*S[3, Infinity])/896)*
    S[5, Infinity] + (71073*S[-1, Infinity]*S[7, Infinity])/896 - 
   (150*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (803*S[2, Infinity]*S[-5, -1, Infinity])/14 - 
   (4*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 19*S[5, -1, -1, Infinity]))/
    7 + (888320*S[-7, -1, Infinity] + 186483*S[5, 3, Infinity] + 
     145920*S[-5, -1, -1, -1, Infinity] + 69120*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((9*S[-1, Infinity]^4)/70 - 
     (108*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-43*S[-1, Infinity]^5)/140 + (43*S[-1, Infinity]^3*S[2, Infinity])/14 + 
     (8081*S[-1, Infinity]*S[2, Infinity]^2)/280 + 
     (258*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, -1, -1, -2, Infinity] -> 
  (83*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + (2848243*S[2, Infinity]^4)/
    2352000 + ((-9*S[-1, Infinity]^2)/28 - (41*S[2, Infinity])/28)*
    S[3, Infinity]^2 + ((2621*S[-1, Infinity]*S[2, Infinity])/224 + 
     (6269*S[3, Infinity])/1792)*S[5, Infinity] - 
   (8*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/7 + 
   (29440*S[-7, -1, Infinity] + 6761*S[5, 3, Infinity] + 
     5120*S[-5, -1, -1, -1, Infinity] - 5120*S[-5, -1, 1, 1, Infinity])/
    2240 + S[2, Infinity]^2*((-2*S[-1, Infinity]^4)/105 + 
     (16*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    (-S[-1, Infinity]^5/35 + (2*S[-1, Infinity]^3*S[2, Infinity])/7 + 
     (3987*S[-1, Infinity]*S[2, Infinity]^2)/1120 + 
     (24*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, -1, -2, 1, Infinity] -> 
  S[-1, Infinity]^8/144 - (107*S[-1, Infinity]^2*S[2, Infinity]^3)/140 + 
   (1414543*S[2, Infinity]^4)/588000 + 
   ((-59*S[-1, Infinity]^2)/28 + (12935*S[2, Infinity])/896)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/2 - 
     (223*S[-1, Infinity]*S[2, Infinity])/28 - (33639*S[3, Infinity])/896)*
    S[5, Infinity] - (637*S[-1, Infinity]*S[7, Infinity])/16 + 
   (51*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   4*S[-1, Infinity]*(S[-5, 1, 1, Infinity] - 3*S[5, -1, -1, Infinity]) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/84 + (44*S[-1, 1, 1, 1, Infinity])/
      7) + S[2, Infinity]*(-S[-1, Infinity]^6/12 + (453*S[-5, -1, Infinity])/
      14 + 2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-764160*S[-7, -1, Infinity] - 157639*S[5, 3, Infinity] - 
     130560*S[-5, -1, -1, -1, Infinity] - 84480*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((-113*S[-1, Infinity]^5)/840 + 
     (5*S[-1, Infinity]^3*S[2, Infinity])/28 - 
     (1893*S[-1, Infinity]*S[2, Infinity]^2)/224 + 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (132*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, -1, -2, -1, Infinity] -> 
  -S[-1, Infinity]^8/144 + (787*S[-1, Infinity]^2*S[2, Infinity]^3)/140 - 
   (359281*S[2, Infinity]^4)/168000 + 
   ((-9*S[-1, Infinity]^2)/16 - (445*S[2, Infinity])/32)*S[3, Infinity]^2 + 
   ((135*S[-1, Infinity]*S[2, Infinity])/4 + (8297*S[3, Infinity])/256)*
    S[5, Infinity] - 9*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   S[2, Infinity]^2*((-19*S[-1, Infinity]^4)/120 - 
     (11*S[-1, 1, 1, 1, Infinity])/5) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 - 40*S[-5, -1, Infinity] - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (120320*S[-7, -1, Infinity] + 22769*S[5, 3, Infinity] + 
     12800*S[-5, -1, -1, -1, Infinity] + 17920*S[-5, -1, 1, 1, Infinity] - 
     5120*S[-1, 1, 1, 1, Infinity]^2)/1280 + 
   S[3, Infinity]*(-S[-1, Infinity]^5/10 + S[-1, Infinity]^3*S[2, Infinity] + 
     (1701*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     12*S[-1, 1, 1, 1, 1, Infinity]), S[-4, -2, 1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/16 + (6619*S[2, Infinity]^4)/
    84000 - (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/32 - 
   (47*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (259*S[3, Infinity]*S[5, Infinity])/256 - (1557*S[5, 3, Infinity])/1280 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/32 - (3*S[-1, 1, 1, 1, Infinity])/4), 
 S[-4, -2, 1, -1, Infinity] -> (1083*S[-1, Infinity]^2*S[2, Infinity]^3)/
    560 + (3471283*S[2, Infinity]^4)/2352000 + 
   ((9*S[-1, Infinity]^2)/4 - (7107*S[2, Infinity])/896)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 + (721*S[-1, Infinity]*S[2, Infinity])/32 + 
     (1637*S[3, Infinity])/112)*S[5, Infinity] + 
   (16367*S[-1, Infinity]*S[7, Infinity])/896 - 
   6*S[-1, Infinity]^2*S[-5, -1, Infinity] - 
   (421*S[2, Infinity]*S[-5, -1, Infinity])/28 - 
   (2*S[-1, Infinity]*(9*S[-5, 1, 1, Infinity] - 5*S[5, -1, -1, Infinity]))/
    7 + (248320*S[-7, -1, Infinity] + 42827*S[5, 3, Infinity] + 
     30720*S[-5, -1, -1, -1, Infinity] + 23040*S[-5, -1, 1, 1, Infinity])/
    4480 + S[2, Infinity]^2*((3*S[-1, Infinity]^4)/70 - 
     (36*S[-1, 1, 1, 1, Infinity])/35) + S[3, Infinity]*
    ((-31*S[-1, Infinity]^5)/280 + (31*S[-1, Infinity]^3*S[2, Infinity])/28 + 
     (1313*S[-1, Infinity]*S[2, Infinity]^2)/160 + 
     (93*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, -2, -1, 1, Infinity] -> 
  -S[-1, Infinity]^8/144 - (1227*S[-1, Infinity]^2*S[2, Infinity]^3)/560 - 
   (11621*S[2, Infinity]^4)/235200 + ((-331*S[-1, Infinity]^2)/112 - 
     (29*S[2, Infinity])/448)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/8 - (709*S[-1, Infinity]*S[2, Infinity])/56 - 
     (15535*S[3, Infinity])/1792)*S[5, Infinity] + 
   (32219*S[-1, Infinity]*S[7, Infinity])/896 + 
   (19*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   (4*S[-1, Infinity]*(2*S[-5, 1, 1, Infinity] + 9*S[5, -1, -1, Infinity]))/
    7 + S[2, Infinity]^2*((-31*S[-1, Infinity]^4)/420 - 
     (148*S[-1, 1, 1, 1, Infinity])/35) + 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(S[-1, Infinity]^6/12 + (27*S[-5, -1, Infinity])/28 - 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (8832*S[-7, -1, Infinity] + 853*S[5, 3, Infinity] + 
     1536*S[-5, -1, -1, -1, Infinity] - 1536*S[-5, -1, 1, 1, Infinity] - 
     7168*S[-1, 1, 1, 1, Infinity]^2)/1792 + 
   S[3, Infinity]*((139*S[-1, Infinity]^5)/420 - 
     (15*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (1713*S[-1, Infinity]*S[2, Infinity]^2)/280 - 
     7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity] - 
     (33*S[-1, 1, 1, 1, 1, Infinity])/7), S[-4, -2, -1, -1, Infinity] -> 
  S[-1, Infinity]^8/144 - (703*S[-1, Infinity]^2*S[2, Infinity]^3)/280 + 
   (691361*S[2, Infinity]^4)/1176000 + 
   ((-9*S[-1, Infinity]^2)/14 + (1157*S[2, Infinity])/224)*S[3, Infinity]^2 + 
   ((-6855*S[-1, Infinity]*S[2, Infinity])/448 - (10027*S[3, Infinity])/896)*
    S[5, Infinity] + (33*S[-1, Infinity]^2*S[-5, -1, Infinity])/7 + 
   S[2, Infinity]^2*((37*S[-1, Infinity]^4)/168 + 
     (5*S[-1, 1, 1, 1, Infinity])/7) - 
   (S[-1, Infinity]^4*S[-1, 1, 1, 1, Infinity])/3 + 
   S[2, Infinity]*(-S[-1, Infinity]^6/12 + (155*S[-5, -1, Infinity])/7 + 
     2*S[-1, Infinity]^2*S[-1, 1, 1, 1, Infinity]) + 
   (-454400*S[-7, -1, Infinity] - 85709*S[5, 3, Infinity] - 
     48640*S[-5, -1, -1, -1, Infinity] - 58880*S[-5, -1, 1, 1, Infinity] + 
     35840*S[-1, 1, 1, 1, Infinity]^2)/8960 + 
   S[3, Infinity]*((3*S[-1, Infinity]^5)/70 - 
     (3*S[-1, Infinity]^3*S[2, Infinity])/7 - 
     (4329*S[-1, Infinity]*S[2, Infinity]^2)/560 - 
     (36*S[-1, 1, 1, 1, 1, Infinity])/7), S[-5, 1, 1, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (4749*S[2, Infinity]^4)/
    14000 + ((-5*S[-1, Infinity]^2)/8 + S[2, Infinity]/8)*S[3, Infinity]^2 + 
   ((31*S[-1, Infinity]^3)/48 + S[-1, Infinity]*S[2, Infinity] + 
     (17*S[3, Infinity])/128)*S[5, Infinity] - 
   (887*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 + 
   3*S[2, Infinity]*S[-5, -1, Infinity] + S[-1, Infinity]*
    S[-5, 1, 1, Infinity] + (-80*S[-7, -1, Infinity] - 11*S[5, 3, Infinity] - 
     10*S[-5, -1, 1, 1, Infinity])/10 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/120 + S[-1, 1, 1, 1, Infinity]/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/
      6 - (3*S[-1, Infinity]*S[2, Infinity]^2)/4 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-5, 1, 1, -1, Infinity] -> 
  (5*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (9559*S[2, Infinity]^4)/14000 + 
   ((5*S[-1, Infinity]^2)/8 + (3*S[2, Infinity])/4)*S[3, Infinity]^2 + 
   ((-31*S[-1, Infinity]^3)/96 - (65*S[-1, Infinity]*S[2, Infinity])/32 + 
     (97*S[3, Infinity])/128)*S[5, Infinity] - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (19*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (2240*S[-7, -1, Infinity] + 159*S[5, 3, Infinity] + 
     480*S[-5, -1, 1, 1, Infinity])/160 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/24 - S[-1, 1, 1, 1, Infinity]) + 
   S[3, Infinity]*(-S[-1, Infinity]^5/30 + (S[-1, Infinity]^3*S[2, Infinity])/
      3 + (19*S[-1, Infinity]*S[2, Infinity]^2)/20 + 
     4*S[-1, 1, 1, 1, 1, Infinity]), S[-5, 1, -1, 1, Infinity] -> 
  (-19*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (38001*S[2, Infinity]^4)/
    28000 + (15*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-31*S[-1, Infinity]^3)/96 - (31*S[-1, Infinity]*S[2, Infinity])/32 - 
     (255*S[3, Infinity])/32)*S[5, Infinity] + 
   (13*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (3*(1120*S[-7, -1, Infinity] + 127*S[5, 3, Infinity] + 
      320*S[-5, -1, 1, 1, Infinity]))/320 + S[2, Infinity]^2*
    (-S[-1, Infinity]^4/30 + (4*S[-1, 1, 1, 1, Infinity])/5) + 
   S[3, Infinity]*(S[-1, Infinity]^5/60 - (S[-1, Infinity]^3*S[2, Infinity])/
      6 - (S[-1, Infinity]*S[2, Infinity]^2)/10 - 
     2*S[-1, 1, 1, 1, 1, Infinity]), S[-5, 1, -1, -1, Infinity] -> 
  (-17*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (3923*S[2, Infinity]^4)/
    4000 + ((169*S[-1, Infinity]^2)/64 + (179*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/24 - 
     (155*S[-1, Infinity]*S[2, Infinity])/64 - (23*S[3, Infinity])/256)*
    S[5, Infinity] - (1657*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   (S[2, Infinity]*S[-5, -1, Infinity])/4 - S[-1, Infinity]*
    (2*S[-5, 1, 1, Infinity] + S[5, -1, -1, Infinity]) + 
   (-2240*S[-7, -1, Infinity] - 369*S[5, 3, Infinity] - 
     320*S[-5, -1, -1, -1, Infinity])/320 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/240 - S[-1, 1, 1, 1, Infinity]/10) + 
   S[3, Infinity]*((-2*S[-1, Infinity]^5)/15 + 
     (3*S[-1, Infinity]^3*S[2, Infinity])/4 + 
     (69*S[-1, Infinity]*S[2, Infinity]^2)/80 + 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[-5, -1, 1, -1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (39763*S[2, Infinity]^4)/
    28000 + ((-107*S[-1, Infinity]^2)/64 - (141*S[2, Infinity])/64)*
    S[3, Infinity]^2 + ((-31*S[-1, Infinity]^3)/32 - 
     (75*S[-1, Infinity]*S[2, Infinity])/64 + (1369*S[3, Infinity])/128)*
    S[5, Infinity] - (121*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[-1, Infinity]^2*S[-5, -1, Infinity])/2 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] - S[-1, Infinity]*
    (-S[-5, 1, 1, Infinity] - 2*S[5, -1, -1, Infinity]) + 
   (240*S[-7, -1, Infinity] + 329*S[5, 3, Infinity] + 
     480*S[-5, -1, -1, -1, Infinity])/160 + S[2, Infinity]^2*
    ((19*S[-1, Infinity]^4)/480 - (19*S[-1, 1, 1, 1, Infinity])/20) + 
   S[3, Infinity]*((29*S[-1, Infinity]^5)/240 - 
     (5*S[-1, Infinity]^3*S[2, Infinity])/8 - 
     (11*S[-1, Infinity]*S[2, Infinity]^2)/160 - 
     (7*S[-1, Infinity]*S[-1, 1, 1, 1, Infinity])/2 + 
     3*S[-1, 1, 1, 1, 1, Infinity]), S[-5, -1, -1, 1, Infinity] -> 
  (-43*S[-1, Infinity]^2*S[2, Infinity]^3)/80 - (32159*S[2, Infinity]^4)/
    28000 + ((9*S[-1, Infinity]^2)/16 + (335*S[2, Infinity])/128)*
    S[3, Infinity]^2 + ((31*S[-1, Infinity]^3)/32 - 
     (193*S[-1, Infinity]*S[2, Infinity])/32 + (173*S[3, Infinity])/256)*
    S[5, Infinity] - (2415*S[-1, Infinity]*S[7, Infinity])/128 + 
   2*S[-1, Infinity]^2*S[-5, -1, Infinity] + 
   (9*S[2, Infinity]*S[-5, -1, Infinity])/4 - 
   S[-1, Infinity]*S[5, -1, -1, Infinity] + 
   (-1600*S[-7, -1, Infinity] - 329*S[5, 3, Infinity] - 
     240*S[-5, -1, -1, -1, Infinity])/80 + S[2, Infinity]^2*
    ((-7*S[-1, Infinity]^4)/160 + (21*S[-1, 1, 1, 1, Infinity])/20) + 
   S[3, Infinity]*(S[-1, Infinity]^5/80 - (S[-1, Infinity]^3*S[2, Infinity])/
      8 - (31*S[-1, Infinity]*S[2, Infinity]^2)/20 - 
     (3*S[-1, 1, 1, 1, 1, Infinity])/2), S[6, 1, 1, Infinity] -> 
  (47*S[2, Infinity]^4)/125 + (S[2, Infinity]*S[3, Infinity]^2)/2 - 
   2*S[3, Infinity]*S[5, Infinity] - (2*S[5, 3, Infinity])/5, 
 S[6, 1, -1, Infinity] -> (-2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (4603*S[2, Infinity]^4)/5600 - (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/4 + (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-3*S[-1, Infinity]*S[2, Infinity])/2 + (185*S[3, Infinity])/128)*
    S[5, Infinity] - (635*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-224*S[-7, -1, Infinity] - 29*S[5, 3, Infinity])/64 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/240 - (7*S[-1, 1, 1, 1, Infinity])/
      10), S[6, -1, 1, Infinity] -> (2*S[-1, Infinity]^2*S[2, Infinity]^3)/
    5 - (694*S[2, Infinity]^4)/875 + (297*S[3, Infinity]*S[5, Infinity])/64 - 
   (889*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (3*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/160 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/240 + 
     (7*S[-1, 1, 1, 1, Infinity])/10), S[6, -1, -1, Infinity] -> 
  (9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (187*S[2, Infinity]^4)/560 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (9*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-45*S[-1, Infinity]*S[2, Infinity])/32 + (191*S[3, Infinity])/128)*
    S[5, Infinity] + (-160*S[-7, -1, Infinity] - 29*S[5, 3, Infinity])/64, 
 S[5, 2, 1, Infinity] -> (-1564*S[2, Infinity]^4)/2625 - 
   S[2, Infinity]*S[3, Infinity]^2 + 6*S[3, Infinity]*S[5, Infinity] + 
   (3*S[5, 3, Infinity])/10, S[5, 2, -1, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (417233*S[2, Infinity]^4)/
    168000 + (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/2 - 
   (9*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((15*S[-1, Infinity]*S[2, Infinity])/2 - (337*S[3, Infinity])/64)*
    S[5, Infinity] + (127*S[-1, Infinity]*S[7, Infinity])/8 + 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (3*(2240*S[-7, -1, Infinity] + 183*S[5, 3, Infinity]))/640 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/120 + 
     (7*S[-1, 1, 1, 1, Infinity])/5), S[5, 1, 2, Infinity] -> 
  (-29*S[2, Infinity]^4)/105 - (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   (9*S[3, Infinity]*S[5, Infinity])/2 + S[5, 3, Infinity], 
 S[5, 1, -2, Infinity] -> (65203*S[2, Infinity]^4)/168000 - 
   (S[2, Infinity]*S[3, Infinity]^2)/8 - (259*S[3, Infinity]*S[5, Infinity])/
    128 + (1143*S[-1, Infinity]*S[7, Infinity])/128 + 
   (2880*S[-7, -1, Infinity] + 419*S[5, 3, Infinity])/640, 
 S[5, -1, 2, Infinity] -> (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (29893*S[2, Infinity]^4)/16800 + (33*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/32 - (1655*S[3, Infinity])/128)*
    S[5, Infinity] + (2667*S[-1, Infinity]*S[7, Infinity])/128 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (3*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/64 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/120 - (7*S[-1, 1, 1, 1, Infinity])/
      5), S[5, -1, -2, Infinity] -> (-2*S[-1, Infinity]^2*S[2, Infinity]^3)/
    5 - (8003*S[2, Infinity]^4)/168000 + (21*S[2, Infinity]*S[3, Infinity]^2)/
    32 + ((31*S[-1, Infinity]*S[2, Infinity])/16 - (255*S[3, Infinity])/64)*
    S[5, Infinity] - 4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (6720*S[-7, -1, Infinity] + 1031*S[5, 3, Infinity])/640 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 - (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[5, -2, 1, Infinity] -> (144863*S[2, Infinity]^4)/168000 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (473*S[3, Infinity]*S[5, Infinity])/128 + 
   (889*S[-1, Infinity]*S[7, Infinity])/64 + 
   (4480*S[-7, -1, Infinity] + 549*S[5, 3, Infinity])/640, 
 S[5, -2, -1, Infinity] -> (2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (27119*S[2, Infinity]^4)/42000 + (9*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/8 - (33*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((33*S[-1, Infinity]*S[2, Infinity])/8 + (297*S[3, Infinity])/64)*
    S[5, Infinity] + 4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-800*S[-7, -1, Infinity] + 79*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/15 + (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[4, 3, 1, Infinity] -> S[2, Infinity]^4/7 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - 3*S[3, Infinity]*S[5, Infinity] + 
   (5*S[5, 3, Infinity])/2, S[4, 3, -1, Infinity] -> 
  (-43391*S[2, Infinity]^4)/11200 + (9*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/16 + (63*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (-15*S[-1, Infinity]*S[2, Infinity] + (891*S[3, Infinity])/64)*
    S[5, Infinity] - (2413*S[-1, Infinity]*S[7, Infinity])/128 - 
   3*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-2240*S[-7, -1, Infinity] + 31*S[5, 3, Infinity])/128, 
 S[4, 2, 2, Infinity] -> (2686*S[2, Infinity]^4)/2625 + 
   3*S[2, Infinity]*S[3, Infinity]^2 - 9*S[3, Infinity]*S[5, Infinity] - 
   (11*S[5, 3, Infinity])/5, S[4, 2, -2, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 - (404381*S[2, Infinity]^4)/
    168000 - (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/8 + 
   (29*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (91*S[3, Infinity]*S[5, Infinity])/32 - 
   (1651*S[-1, Infinity]*S[7, Infinity])/64 + 
   (-2080*S[-7, -1, Infinity] - 437*S[5, 3, Infinity])/160 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/8 - 3*S[-1, 1, 1, 1, Infinity]), 
 S[4, 1, 3, Infinity] -> (44*S[2, Infinity]^4)/105 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 - (5*S[3, Infinity]*S[5, Infinity])/2, 
 S[4, 1, -3, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (139*S[2, Infinity]^4)/672 + (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/16 + (7*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (177*S[3, Infinity]*S[5, Infinity])/64 - 
   (635*S[-1, Infinity]*S[7, Infinity])/128 - (5*S[-7, -1, Infinity])/2 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/16 + (3*S[-1, 1, 1, 1, Infinity])/2), 
 S[4, -1, 3, Infinity] -> (-268199*S[2, Infinity]^4)/84000 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 - 
   (33*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (1881*S[3, Infinity]*S[5, Infinity])/128 - 
   (4445*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[2, Infinity]*S[-5, -1, Infinity] + 
   (-1600*S[-7, -1, Infinity] - 153*S[5, 3, Infinity])/80, 
 S[4, -1, -3, Infinity] -> (-6431*S[2, Infinity]^4)/21000 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 - 
   (21*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (147*S[3, Infinity]*S[5, Infinity])/16 + 10*S[2, Infinity]*
    S[-5, -1, Infinity] + (-1400*S[-7, -1, Infinity] - 153*S[5, 3, Infinity])/
    80, S[4, -2, 2, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 - 
   (14533*S[2, Infinity]^4)/84000 + (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/8 - (15*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/8 + (541*S[3, Infinity])/64)*
    S[5, Infinity] - (889*S[-1, Infinity]*S[7, Infinity])/64 + 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-2240*S[-7, -1, Infinity] - 279*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/8 + 3*S[-1, 1, 1, 1, Infinity]), 
 S[4, -2, -2, Infinity] -> (-277*S[2, Infinity]^4)/33600 + 
   (51*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/4 - (249*S[3, Infinity])/32)*
    S[5, Infinity] - 4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (9*S[5, 3, Infinity])/16, S[4, -3, 1, Infinity] -> 
  (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - (323*S[2, Infinity]^4)/160 - 
   (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (33*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (593*S[3, Infinity]*S[5, Infinity])/128 - 
   (2667*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*(448*S[-7, -1, Infinity] + 69*S[5, 3, Infinity]))/128 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/16 - (3*S[-1, 1, 1, 1, Infinity])/2), 
 S[4, -3, -1, Infinity] -> (6043*S[2, Infinity]^4)/28000 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (81*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-39*S[-1, Infinity]*S[2, Infinity])/16 - (945*S[3, Infinity])/128)*
    S[5, Infinity] - 6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (5120*S[-7, -1, Infinity] + 189*S[5, 3, Infinity])/640, 
 S[3, 4, 1, Infinity] -> (-11*S[2, Infinity]^4)/105 - 
   2*S[2, Infinity]*S[3, Infinity]^2 + (15*S[3, Infinity]*S[5, Infinity])/2 - 
   (5*S[5, 3, Infinity])/2, S[3, 4, -1, Infinity] -> 
  (17969*S[2, Infinity]^4)/4800 + (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/4 - (27*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (15*S[-1, Infinity]*S[2, Infinity] - (1697*S[3, Infinity])/128)*
    S[5, Infinity] + (127*S[-1, Infinity]*S[7, Infinity])/8 + 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (2240*S[-7, -1, Infinity] - 31*S[5, 3, Infinity])/128, 
 S[3, 3, 2, Infinity] -> (1217*S[2, Infinity]^4)/875 + 
   (9*S[2, Infinity]*S[3, Infinity]^2)/2 - (27*S[3, Infinity]*S[5, Infinity])/
    2 - (27*S[5, 3, Infinity])/10, S[3, 3, -2, Infinity] -> 
  (22733*S[2, Infinity]^4)/56000 - (S[2, Infinity]*S[3, Infinity]^2)/16 - 
   (165*S[3, Infinity]*S[5, Infinity])/64 + 
   (1143*S[-1, Infinity]*S[7, Infinity])/128 + 
   (9*(320*S[-7, -1, Infinity] + 63*S[5, 3, Infinity]))/640, 
 S[3, 2, 3, Infinity] -> (-488*S[2, Infinity]^4)/175 - 
   6*S[2, Infinity]*S[3, Infinity]^2 + (51*S[3, Infinity]*S[5, Infinity])/2 + 
   4*S[5, 3, Infinity], S[3, 2, -3, Infinity] -> 
  (27511*S[2, Infinity]^4)/11200 - (47*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (1245*S[3, Infinity]*S[5, Infinity])/128 + 
   (1905*S[-1, Infinity]*S[7, Infinity])/64 + 
   (960*S[-7, -1, Infinity] + 137*S[5, 3, Infinity])/64, 
 S[3, 1, 4, Infinity] -> (319*S[2, Infinity]^4)/525 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/2 - (9*S[3, Infinity]*S[5, Infinity])/
    2 - S[5, 3, Infinity], S[3, 1, -4, Infinity] -> 
  (-52453*S[2, Infinity]^4)/168000 + (S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (9*S[3, Infinity]*S[5, Infinity])/32 - 
   (635*S[-1, Infinity]*S[7, Infinity])/128 + 
   (-1600*S[-7, -1, Infinity] - 419*S[5, 3, Infinity])/640, 
 S[3, -1, 4, Infinity] -> (34033*S[2, Infinity]^4)/12000 - 
   (49*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/80 - 
   (9*S[2, Infinity]*S[3, Infinity]^2)/64 - 
   (1735*S[3, Infinity]*S[5, Infinity])/128 + 
   (4445*S[-1, Infinity]*S[7, Infinity])/128 + 
   S[2, Infinity]*S[-5, -1, Infinity] + 
   (3*(1600*S[-7, -1, Infinity] + 171*S[5, 3, Infinity]))/320, 
 S[3, -1, -4, Infinity] -> (6739*S[2, Infinity]^4)/33600 + 
   (7*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/10 + 
   (63*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (611*S[3, Infinity]*S[5, Infinity])/128 - 10*S[2, Infinity]*
    S[-5, -1, Infinity] + 
   (7*(320*S[-7, -1, Infinity] + 23*S[5, 3, Infinity]))/128, 
 S[3, -2, 3, Infinity] -> (7831*S[2, Infinity]^4)/28000 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/8 - (87*S[3, Infinity]*S[5, Infinity])/
    32 - (27*S[5, 3, Infinity])/40, S[3, -2, -3, Infinity] -> 
  (19147*S[2, Infinity]^4)/28000 + (21*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (875*S[3, Infinity]*S[5, Infinity])/128 - (959*S[5, 3, Infinity])/640, 
 S[3, -3, 2, Infinity] -> (6359*S[2, Infinity]^4)/5600 + 
   (47*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/16 - (593*S[3, Infinity])/64)*
    S[5, Infinity] + (2667*S[-1, Infinity]*S[7, Infinity])/128 - 
   3*S[2, Infinity]*S[-5, -1, Infinity] + 
   (3*(448*S[-7, -1, Infinity] + 99*S[5, 3, Infinity]))/128, 
 S[3, -3, -2, Infinity] -> (-47*S[2, Infinity]^4)/448 - 
   (243*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/8 + (1229*S[3, Infinity])/64)*
    S[5, Infinity] + 6*S[2, Infinity]*S[-5, -1, Infinity] + 
   S[5, 3, Infinity]/16, S[3, -4, 1, Infinity] -> 
  (158803*S[2, Infinity]^4)/168000 + (S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (11*S[3, Infinity]*S[5, Infinity])/2 + 
   (889*S[-1, Infinity]*S[7, Infinity])/64 + 
   (4480*S[-7, -1, Infinity] + 729*S[5, 3, Infinity])/640, 
 S[3, -4, -1, Infinity] -> (-1117*S[2, Infinity]^4)/3000 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/4 + 
   ((-27*S[-1, Infinity]*S[2, Infinity])/8 + (61*S[3, Infinity])/32)*
    S[5, Infinity] + 4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-1520*S[-7, -1, Infinity] - 179*S[5, 3, Infinity])/160, 
 S[2, 5, 1, Infinity] -> (1383*S[2, Infinity]^4)/875 + 
   2*S[2, Infinity]*S[3, Infinity]^2 - (23*S[3, Infinity]*S[5, Infinity])/2 - 
   (3*S[5, 3, Infinity])/10, S[2, 5, -1, Infinity] -> 
  (-71361*S[2, Infinity]^4)/56000 - (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/2 + (21*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-147*S[-1, Infinity]*S[2, Infinity])/32 + (613*S[3, Infinity])/128)*
    S[5, Infinity] - (635*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*(2240*S[-7, -1, Infinity] + 183*S[5, 3, Infinity]))/640, 
 S[2, 4, 2, Infinity] -> (-1112*S[2, Infinity]^4)/525 - 
   5*S[2, Infinity]*S[3, Infinity]^2 + 20*S[3, Infinity]*S[5, Infinity] + 
   4*S[5, 3, Infinity], S[2, 4, -2, Infinity] -> 
  (-601429*S[2, Infinity]^4)/168000 + (67*S[2, Infinity]*S[3, Infinity]^2)/
    32 + ((-93*S[-1, Infinity]*S[2, Infinity])/8 + (615*S[3, Infinity])/64)*
    S[5, Infinity] - (381*S[-1, Infinity]*S[7, Infinity])/32 - 
   6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-1920*S[-7, -1, Infinity] + 379*S[5, 3, Infinity])/320, 
 S[2, 3, 3, Infinity] -> (1443*S[2, Infinity]^4)/875 + 
   2*S[2, Infinity]*S[3, Infinity]^2 - 11*S[3, Infinity]*S[5, Infinity] - 
   (13*S[5, 3, Infinity])/10, S[2, 3, -3, Infinity] -> 
  (23037*S[2, Infinity]^4)/8000 - (163*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((279*S[-1, Infinity]*S[2, Infinity])/16 - (755*S[3, Infinity])/128)*
    S[5, Infinity] + (1143*S[-1, Infinity]*S[7, Infinity])/128 + 
   9*S[2, Infinity]*S[-5, -1, Infinity] + 
   (2880*S[-7, -1, Infinity] - 1019*S[5, 3, Infinity])/640, 
 S[2, 2, 4, Infinity] -> (1523*S[2, Infinity]^4)/875 + 
   2*S[2, Infinity]*S[3, Infinity]^2 - 11*S[3, Infinity]*S[5, Infinity] - 
   (9*S[5, 3, Infinity])/5, S[2, 2, -4, Infinity] -> 
  (-245247*S[2, Infinity]^4)/56000 + (19*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/8 + (197*S[3, Infinity])/16)*
    S[5, Infinity] - (1651*S[-1, Infinity]*S[7, Infinity])/64 - 
   6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-1040*S[-7, -1, Infinity] + 9*S[5, 3, Infinity])/80, 
 S[2, 1, 5, Infinity] -> (-437*S[2, Infinity]^4)/2625 - 
   S[2, Infinity]*S[3, Infinity]^2 + (9*S[3, Infinity]*S[5, Infinity])/2 + 
   (2*S[5, 3, Infinity])/5, S[2, 1, -5, Infinity] -> 
  (6911*S[2, Infinity]^4)/8400 - (5*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/32 - (119*S[3, Infinity])/32)*
    S[5, Infinity] + (1143*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (288*S[-7, -1, Infinity] + 29*S[5, 3, Infinity])/64, 
 S[2, -1, 5, Infinity] -> (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (218563*S[2, Infinity]^4)/84000 + (51*S[2, Infinity]*S[3, Infinity]^2)/
    64 + ((-45*S[-1, Infinity]*S[2, Infinity])/32 + (819*S[3, Infinity])/128)*
    S[5, Infinity] - (2667*S[-1, Infinity]*S[7, Infinity])/128 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] - 
   (3*(40*S[-7, -1, Infinity] + 3*S[5, 3, Infinity]))/20 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/120 - (7*S[-1, 1, 1, 1, Infinity])/
      5), S[2, -1, -5, Infinity] -> (2*S[-1, Infinity]^2*S[2, Infinity]^3)/
    5 + (6599*S[2, Infinity]^4)/12000 - (3*S[2, Infinity]*S[3, Infinity]^2)/
    4 + ((-45*S[-1, Infinity]*S[2, Infinity])/32 + (11*S[3, Infinity])/4)*
    S[5, Infinity] + 4*S[2, Infinity]*S[-5, -1, Infinity] - 
   (7*(480*S[-7, -1, Infinity] + 23*S[5, 3, Infinity]))/320 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/15 + (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[2, -2, 4, Infinity] -> (7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (61051*S[2, Infinity]^4)/28000 + (49*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/40 - 3*S[2, Infinity]*S[3, Infinity]^2 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/8 - (11*S[3, Infinity])/64)*
    S[5, Infinity] + (889*S[-1, Infinity]*S[7, Infinity])/64 + 
   6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (7*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/320 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/120 + 
     (7*S[-1, 1, 1, 1, Infinity])/5), S[2, -2, -4, Infinity] -> 
  (-2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (4223*S[2, Infinity]^4)/56000 - 
   (7*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/5 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/16 - 
   (109*S[3, Infinity]*S[5, Infinity])/64 + (19*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 - (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[2, -3, 3, Infinity] -> (-119253*S[2, Infinity]^4)/28000 + 
   (249*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-279*S[-1, Infinity]*S[2, Infinity])/16 + (513*S[3, Infinity])/64)*
    S[5, Infinity] - (2667*S[-1, Infinity]*S[7, Infinity])/128 - 
   9*S[2, Infinity]*S[-5, -1, Infinity] + 
   (3*(-2240*S[-7, -1, Infinity] + 57*S[5, 3, Infinity]))/640, 
 S[2, -3, -3, Infinity] -> (-13647*S[2, Infinity]^4)/28000 - 
   (51*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (793*S[3, Infinity]*S[5, Infinity])/128 + (749*S[5, 3, Infinity])/640, 
 S[2, -4, 2, Infinity] -> (188389*S[2, Infinity]^4)/84000 - 
   (5*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/2 - (13*S[3, Infinity])/4)*
    S[5, Infinity] + 8*S[2, Infinity]*S[-5, -1, Infinity] - 
   (207*S[5, 3, Infinity])/80, S[2, -4, -2, Infinity] -> 
  (251171*S[2, Infinity]^4)/168000 + (21*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/4 - (149*S[3, Infinity])/8)*
    S[5, Infinity] - 4*S[2, Infinity]*S[-5, -1, Infinity] - 
   (193*S[5, 3, Infinity])/160, S[2, -5, 1, Infinity] -> 
  (-54867*S[2, Infinity]^4)/28000 + (S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/32 + (243*S[3, Infinity])/32)*
    S[5, Infinity] - (889*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-2240*S[-7, -1, Infinity] + 369*S[5, 3, Infinity])/640, 
 S[2, -5, -1, Infinity] -> (4287*S[2, Infinity]^4)/14000 + 
   (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/2 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   ((147*S[-1, Infinity]*S[2, Infinity])/32 + (29*S[3, Infinity])/16)*
    S[5, Infinity] + (5120*S[-7, -1, Infinity] + 947*S[5, 3, Infinity])/640, 
 S[-1, 6, 1, Infinity] -> (-101*S[2, Infinity]^4)/400 + 
   (7*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/20 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((S[-1, Infinity]*S[2, Infinity])/2 + (193*S[3, Infinity])/128)*
    S[5, Infinity] + (129*S[-1, Infinity]*S[7, Infinity])/64 + 
   (160*S[-7, -1, Infinity] + 29*S[5, 3, Infinity])/64, 
 S[-1, 6, -1, Infinity] -> (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (3667*S[2, Infinity]^4)/7000 + (69*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/80 - (9*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((75*S[-1, Infinity]*S[2, Infinity])/32 - (63*S[3, Infinity])/64)*
    S[5, Infinity] + (129*S[-1, Infinity]*S[7, Infinity])/64 + 
   (3*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/160, 
 S[-1, 5, 2, Infinity] -> (-23189*S[2, Infinity]^4)/56000 - 
   (7*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/10 + 
   (39*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-49*S[-1, Infinity]*S[2, Infinity])/32 - (113*S[3, Infinity])/128)*
    S[5, Infinity] - (645*S[-1, Infinity]*S[7, Infinity])/128 - 
   (9*(320*S[-7, -1, Infinity] + 29*S[5, 3, Infinity]))/640, 
 S[-1, 5, -2, Infinity] -> (-15209*S[2, Infinity]^4)/56000 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/5 + 
   (45*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-75*S[-1, Infinity]*S[2, Infinity])/16 - (69*S[3, Infinity])/32)*
    S[5, Infinity] - (645*S[-1, Infinity]*S[7, Infinity])/128 + 
   (-5120*S[-7, -1, Infinity] - 261*S[5, 3, Infinity])/640, 
 S[-1, 4, 3, Infinity] -> (22849*S[2, Infinity]^4)/24000 - 
   (15*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (5*S[-1, Infinity]*S[2, Infinity] - (303*S[3, Infinity])/128)*
    S[5, Infinity] + (17*S[-1, Infinity]*S[7, Infinity])/8 + 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (1600*S[-7, -1, Infinity] - 1181*S[5, 3, Infinity])/640, 
 S[-1, 4, -3, Infinity] -> (2603*S[2, Infinity]^4)/12000 + 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((13*S[-1, Infinity]*S[2, Infinity])/8 - (45*S[3, Infinity])/128)*
    S[5, Infinity] + (17*S[-1, Infinity]*S[7, Infinity])/8 - 
   4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (6080*S[-7, -1, Infinity] + 621*S[5, 3, Infinity])/640, 
 S[-1, 3, 4, Infinity] -> (-49099*S[2, Infinity]^4)/56000 + 
   (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/80 + 
   (63*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (-5*S[-1, Infinity]*S[2, Infinity] - (3*S[3, Infinity])/8)*
    S[5, Infinity] + (237*S[-1, Infinity]*S[7, Infinity])/128 - 
   3*S[2, Infinity]*S[-5, -1, Infinity] + 
   (1600*S[-7, -1, Infinity] + 1379*S[5, 3, Infinity])/640, 
 S[-1, 3, -4, Infinity] -> (24569*S[2, Infinity]^4)/56000 - 
   (3*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (63*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((9*S[-1, Infinity]*S[2, Infinity])/4 + (495*S[3, Infinity])/128)*
    S[5, Infinity] + (237*S[-1, Infinity]*S[7, Infinity])/128 + 
   6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-5120*S[-7, -1, Infinity] - 729*S[5, 3, Infinity])/640, 
 S[-1, 2, 5, Infinity] -> (7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (78307*S[2, Infinity]^4)/168000 + (7*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/10 - (9*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (2*S[-1, Infinity]*S[2, Infinity] + (457*S[3, Infinity])/64)*
    S[5, Infinity] - (39*S[-1, Infinity]*S[7, Infinity])/8 + 
   2*S[2, Infinity]*S[-5, -1, Infinity] - 
   (9*(320*S[-7, -1, Infinity] + 29*S[5, 3, Infinity]))/640 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/120 + 
     (7*S[-1, 1, 1, 1, Infinity])/5), S[-1, 2, -5, Infinity] -> 
  (-2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (629*S[2, Infinity]^4)/3360 - 
   (4*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/5 + 
   (9*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((-83*S[-1, Infinity]*S[2, Infinity])/32 - (117*S[3, Infinity])/16)*
    S[5, Infinity] - (39*S[-1, Infinity]*S[7, Infinity])/8 - 
   4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (320*S[-7, -1, Infinity] + 9*S[5, 3, Infinity])/128 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 - (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[-1, 1, 6, Infinity] -> (-2*S[-1, Infinity]^2*S[2, Infinity]^3)/7 + 
   (4133*S[2, Infinity]^4)/28000 - (7*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/20 + (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (-(S[-1, Infinity]*S[2, Infinity])/2 - (481*S[3, Infinity])/128)*
    S[5, Infinity] + (251*S[-1, Infinity]*S[7, Infinity])/128 - 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (800*S[-7, -1, Infinity] + 17*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/240 - (7*S[-1, 1, 1, 1, Infinity])/
      10), S[-1, 1, -6, Infinity] -> 
  (11*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + (32*S[2, Infinity]^4)/175 + 
   (2*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/5 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   (S[-1, Infinity]*S[2, Infinity] + (111*S[3, Infinity])/32)*
    S[5, Infinity] + (251*S[-1, Infinity]*S[7, Infinity])/128 - 
   S[-7, -1, Infinity] + S[2, Infinity]*S[-5, -1, Infinity] + 
   (2*S[2, Infinity]^2*(-S[-1, Infinity]^4/12 + 2*S[-1, 1, 1, 1, Infinity]))/
    5, S[-1, -1, 6, Infinity] -> (4*S[-1, Infinity]^2*S[2, Infinity]^3)/35 + 
   (123*S[2, Infinity]^4)/2000 - (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/10 + (9*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-15*S[-1, Infinity]*S[2, Infinity])/16 - (65*S[3, Infinity])/128)*
    S[5, Infinity] - 3*S[-1, Infinity]*S[7, Infinity] + 
   (-1120*S[-7, -1, Infinity] - 17*S[5, 3, Infinity])/320, 
 S[-1, -1, -6, Infinity] -> (-31*S[-1, Infinity]^2*S[2, Infinity]^3)/280 - 
   (489*S[2, Infinity]^4)/800 + (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/80 - (9*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((15*S[-1, Infinity]*S[2, Infinity])/32 + (39*S[3, Infinity])/16)*
    S[5, Infinity] - 3*S[-1, Infinity]*S[7, Infinity], 
 S[-1, -2, 5, Infinity] -> (2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (4697*S[2, Infinity]^4)/6000 + (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/5 - (33*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((15*S[-1, Infinity]*S[2, Infinity])/4 + (401*S[3, Infinity])/64)*
    S[5, Infinity] + (519*S[-1, Infinity]*S[7, Infinity])/128 + 
   4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-1120*S[-7, -1, Infinity] - 241*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/15 + (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[-1, -2, -5, Infinity] -> (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (20963*S[2, Infinity]^4)/84000 - (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/40 + (33*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-105*S[-1, Infinity]*S[2, Infinity])/32 - (741*S[3, Infinity])/128)*
    S[5, Infinity] + (519*S[-1, Infinity]*S[7, Infinity])/128 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (9*(320*S[-7, -1, Infinity] + 73*S[5, 3, Infinity]))/640 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/120 - (7*S[-1, 1, 1, 1, Infinity])/
      5), S[-1, -3, 4, Infinity] -> -(S[-1, Infinity]^2*S[2, Infinity]^3)/5 + 
   (3483*S[2, Infinity]^4)/28000 - (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/10 + (81*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-13*S[-1, Infinity]*S[2, Infinity])/8 - (945*S[3, Infinity])/128)*
    S[5, Infinity] - (199*S[-1, Infinity]*S[7, Infinity])/64 - 
   6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (7*(640*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/640 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (4*S[-1, 1, 1, 1, Infinity])/5), 
 S[-1, -3, -4, Infinity] -> (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (213*S[2, Infinity]^4)/800 + (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/80 - (81*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((75*S[-1, Infinity]*S[2, Infinity])/16 + (27*S[3, Infinity])/8)*
    S[5, Infinity] - (199*S[-1, Infinity]*S[7, Infinity])/64 + 
   3*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-320*S[-7, -1, Infinity] - 207*S[5, 3, Infinity])/128 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/240 + 
     (7*S[-1, 1, 1, 1, Infinity])/10), S[-1, -4, 3, Infinity] -> 
  (-1117*S[2, Infinity]^4)/3000 - (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((-9*S[-1, Infinity]*S[2, Infinity])/4 + (15*S[3, Infinity])/4)*
    S[5, Infinity] - (363*S[-1, Infinity]*S[7, Infinity])/128 + 
   4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-1680*S[-7, -1, Infinity] - 19*S[5, 3, Infinity])/160, 
 S[-1, -4, -3, Infinity] -> (-76639*S[2, Infinity]^4)/84000 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (39*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-75*S[-1, Infinity]*S[2, Infinity])/16 - (51*S[3, Infinity])/64)*
    S[5, Infinity] - (363*S[-1, Infinity]*S[7, Infinity])/128 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-1600*S[-7, -1, Infinity] + 621*S[5, 3, Infinity])/640, 
 S[-1, -5, 2, Infinity] -> (2271*S[2, Infinity]^4)/14000 + 
   (4*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/5 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   ((49*S[-1, Infinity]*S[2, Infinity])/16 + (61*S[3, Infinity])/16)*
    S[5, Infinity] + (249*S[-1, Infinity]*S[7, Infinity])/64 - 
   S[2, Infinity]*S[-5, -1, Infinity] + 
   (4480*S[-7, -1, Infinity] + 691*S[5, 3, Infinity])/640, 
 S[-1, -5, -2, Infinity] -> (351*S[2, Infinity]^4)/2800 + 
   (21*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/40 - 
   (9*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((75*S[-1, Infinity]*S[2, Infinity])/32 + (105*S[3, Infinity])/128)*
    S[5, Infinity] + (249*S[-1, Infinity]*S[7, Infinity])/64 + 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (9*(64*S[-7, -1, Infinity] + S[5, 3, Infinity]))/128, 
 S[-1, -6, 1, Infinity] -> (6919*S[2, Infinity]^4)/28000 - 
   (2*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/5 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   (-(S[-1, Infinity]*S[2, Infinity]) - (79*S[3, Infinity])/32)*
    S[5, Infinity] - (377*S[-1, Infinity]*S[7, Infinity])/128 + 
   (-70*S[-7, -1, Infinity] - 9*S[5, 3, Infinity])/20, 
 S[-1, -6, -1, Infinity] -> (9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (9103*S[2, Infinity]^4)/14000 - (33*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/40 + (9*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-15*S[-1, Infinity]*S[2, Infinity])/8 + (141*S[3, Infinity])/64)*
    S[5, Infinity] - (377*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*(40*S[-7, -1, Infinity] + 3*S[5, 3, Infinity]))/20, 
 S[-2, 5, 1, Infinity] -> (1431*S[2, Infinity]^4)/2000 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/4 - 
   (339*S[3, Infinity]*S[5, Infinity])/64 + 
   (635*S[-1, Infinity]*S[7, Infinity])/128 + 
   (800*S[-7, -1, Infinity] - 79*S[5, 3, Infinity])/320, 
 S[-2, 5, -1, Infinity] -> (-38391*S[2, Infinity]^4)/56000 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/8 + 
   (99*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-225*S[-1, Infinity]*S[2, Infinity])/32 - (21*S[3, Infinity])/32)*
    S[5, Infinity] + (-4480*S[-7, -1, Infinity] - 549*S[5, 3, Infinity])/640, 
 S[-2, 4, 2, Infinity] -> (11083*S[2, Infinity]^4)/33600 - 
   (15*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/8 - (171*S[3, Infinity])/64)*
    S[5, Infinity] + (381*S[-1, Infinity]*S[7, Infinity])/32 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (384*S[-7, -1, Infinity] + 137*S[5, 3, Infinity])/64, 
 S[-2, 4, -2, Infinity] -> (6767*S[2, Infinity]^4)/6000 - 
   (237*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((155*S[-1, Infinity]*S[2, Infinity])/8 + (225*S[3, Infinity])/16)*
    S[5, Infinity] + 10*S[2, Infinity]*S[-5, -1, Infinity] - 
   (27*S[5, 3, Infinity])/40, S[-2, 3, 3, Infinity] -> 
  (-9843*S[2, Infinity]^4)/11200 - (9*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   (279*S[3, Infinity]*S[5, Infinity])/64 - 
   (1143*S[-1, Infinity]*S[7, Infinity])/128 - 
   (9*(64*S[-7, -1, Infinity] + 3*S[5, 3, Infinity]))/128, 
 S[-2, 3, -3, Infinity] -> (-2547*S[2, Infinity]^4)/2240 + 
   (423*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((-279*S[-1, Infinity]*S[2, Infinity])/16 - (1269*S[3, Infinity])/128)*
    S[5, Infinity] - 9*S[2, Infinity]*S[-5, -1, Infinity] - 
   (27*S[5, 3, Infinity])/128, S[-2, 2, 4, Infinity] -> 
  (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + (4323*S[2, Infinity]^4)/1600 - 
   (49*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/40 + 
   (45*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (289*S[3, Infinity]*S[5, Infinity])/16 + 
   (1651*S[-1, Infinity]*S[7, Infinity])/64 + 
   (208*S[-7, -1, Infinity] - 5*S[5, 3, Infinity])/16 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/120 - (7*S[-1, 1, 1, 1, Infinity])/
      5), S[-2, 2, -4, Infinity] -> (2*S[-1, Infinity]^2*S[2, Infinity]^3)/
    5 - (73*S[2, Infinity]^4)/1400 + (7*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/5 - (99*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/8 + (1173*S[3, Infinity])/64)*
    S[5, Infinity] + 6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (99*S[5, 3, Infinity])/64 + S[2, Infinity]^2*(-S[-1, Infinity]^4/15 + 
     (8*S[-1, 1, 1, 1, Infinity])/5), S[-2, 1, 5, Infinity] -> 
  (-21887*S[2, Infinity]^4)/24000 - (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   (531*S[3, Infinity]*S[5, Infinity])/128 - 
   (1143*S[-1, Infinity]*S[7, Infinity])/128 + 
   (-2880*S[-7, -1, Infinity] - 67*S[5, 3, Infinity])/640, 
 S[-2, 1, -5, Infinity] -> (1871*S[2, Infinity]^4)/12000 + 
   (15*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/32 - (69*S[3, Infinity])/16)*
    S[5, Infinity] - (3*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (9*S[5, 3, Infinity])/20, S[-2, -1, 5, Infinity] -> 
  (-2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (6509*S[2, Infinity]^4)/
    168000 + (33*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((45*S[-1, Infinity]*S[2, Infinity])/32 - (199*S[3, Infinity])/64)*
    S[5, Infinity] - 4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (6720*S[-7, -1, Infinity] + 103*S[5, 3, Infinity])/640 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 - (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[-2, -1, -5, Infinity] -> (7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (183569*S[2, Infinity]^4)/84000 - (15*S[2, Infinity]*S[3, Infinity]^2)/
    32 + ((45*S[-1, Infinity]*S[2, Infinity])/32 - (417*S[3, Infinity])/64)*
    S[5, Infinity] + (2667*S[-1, Infinity]*S[7, Infinity])/128 + 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (3*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/160 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/120 + 
     (7*S[-1, 1, 1, 1, Infinity])/5), S[-2, -2, 4, Infinity] -> 
  (-41537*S[2, Infinity]^4)/56000 + (135*S[2, Infinity]*S[3, Infinity]^2)/
    32 + ((-93*S[-1, Infinity]*S[2, Infinity])/8 - (201*S[3, Infinity])/32)*
    S[5, Infinity] - 6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (9*S[5, 3, Infinity])/80, S[-2, -2, -4, Infinity] -> 
  (-5279*S[2, Infinity]^4)/4000 - (9*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   (399*S[3, Infinity]*S[5, Infinity])/64 - 
   (889*S[-1, Infinity]*S[7, Infinity])/64 + 
   (-2240*S[-7, -1, Infinity] - 117*S[5, 3, Infinity])/320, 
 S[-2, -3, 3, Infinity] -> (19743*S[2, Infinity]^4)/56000 - 
   (423*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((279*S[-1, Infinity]*S[2, Infinity])/16 + (993*S[3, Infinity])/64)*
    S[5, Infinity] + 9*S[2, Infinity]*S[-5, -1, Infinity] + 
   (49*S[5, 3, Infinity])/80, S[-2, -3, -3, Infinity] -> 
  (54111*S[2, Infinity]^4)/28000 - (9*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (975*S[3, Infinity]*S[5, Infinity])/128 + 
   (2667*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*(2240*S[-7, -1, Infinity] + 261*S[5, 3, Infinity]))/640, 
 S[-2, -4, 2, Infinity] -> (20633*S[2, Infinity]^4)/168000 + 
   (57*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/8 - (121*S[3, Infinity])/8)*
    S[5, Infinity] - 6*S[2, Infinity]*S[-5, -1, Infinity] - 
   (329*S[5, 3, Infinity])/160, S[-2, -4, -2, Infinity] -> 
  (13169*S[2, Infinity]^4)/42000 + (3*S[2, Infinity]*S[3, Infinity]^2)/4 - 
   (27*S[3, Infinity]*S[5, Infinity])/8 - (27*S[5, 3, Infinity])/40, 
 S[-2, -5, 1, Infinity] -> (-2259*S[2, Infinity]^4)/7000 - 
   (21*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/32 + (139*S[3, Infinity])/16)*
    S[5, Infinity] + (3*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (243*S[5, 3, Infinity])/640, S[-2, -5, -1, Infinity] -> 
  (23649*S[2, Infinity]^4)/14000 + (9*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/8 - (9*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((225*S[-1, Infinity]*S[2, Infinity])/32 - (741*S[3, Infinity])/128)*
    S[5, Infinity] + (889*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*(2240*S[-7, -1, Infinity] + 123*S[5, 3, Infinity]))/640, 
 S[-3, 4, 1, Infinity] -> (-20947*S[2, Infinity]^4)/12000 + 
   (S[2, Infinity]*S[3, Infinity]^2)/8 + (901*S[3, Infinity]*S[5, Infinity])/
    128 - (127*S[-1, Infinity]*S[7, Infinity])/8 + 
   (-5120*S[-7, -1, Infinity] - 189*S[5, 3, Infinity])/640, 
 S[-3, 4, -1, Infinity] -> (803*S[2, Infinity]^4)/3360 + 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((39*S[-1, Infinity]*S[2, Infinity])/16 - (333*S[3, Infinity])/128)*
    S[5, Infinity] - 4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (3*(448*S[-7, -1, Infinity] + 69*S[5, 3, Infinity]))/128, 
 S[-3, 3, 2, Infinity] -> (5531*S[2, Infinity]^4)/56000 - 
   (97*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((93*S[-1, Infinity]*S[2, Infinity])/16 + (487*S[3, Infinity])/128)*
    S[5, Infinity] - (1143*S[-1, Infinity]*S[7, Infinity])/128 + 
   3*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-2880*S[-7, -1, Infinity] - 1541*S[5, 3, Infinity])/640, 
 S[-3, 3, -2, Infinity] -> (-6457*S[2, Infinity]^4)/56000 + 
   (153*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-93*S[-1, Infinity]*S[2, Infinity])/8 - (747*S[3, Infinity])/64)*
    S[5, Infinity] - 6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (567*S[5, 3, Infinity])/640, S[-3, 2, 3, Infinity] -> 
  (-157069*S[2, Infinity]^4)/56000 + (5*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (1457*S[3, Infinity]*S[5, Infinity])/128 - 
   (1905*S[-1, Infinity]*S[7, Infinity])/64 + 
   (-4800*S[-7, -1, Infinity] - 233*S[5, 3, Infinity])/320, 
 S[-3, 2, -3, Infinity] -> (10237*S[2, Infinity]^4)/7000 + 
   (105*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (1533*S[3, Infinity]*S[5, Infinity])/128 - (207*S[5, 3, Infinity])/80, 
 S[-3, 1, 4, Infinity] -> (7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (5959*S[2, Infinity]^4)/84000 + (49*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/80 - (41*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (63*S[3, Infinity]*S[5, Infinity])/32 + 
   (635*S[-1, Infinity]*S[7, Infinity])/128 + 
   (800*S[-7, -1, Infinity] + 207*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/240 + 
     (7*S[-1, 1, 1, 1, Infinity])/10), S[-3, 1, -4, Infinity] -> 
  -(S[-1, Infinity]^2*S[2, Infinity]^3)/5 - (7183*S[2, Infinity]^4)/42000 - 
   (7*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/10 - 
   (15*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (27*S[3, Infinity]*S[5, Infinity])/128 + (207*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (4*S[-1, 1, 1, 1, Infinity])/5), 
 S[-3, -1, 4, Infinity] -> (S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (467*S[2, Infinity]^4)/8400 - (93*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (591*S[3, Infinity]*S[5, Infinity])/64 + 10*S[2, Infinity]*
    S[-5, -1, Infinity] + (-1120*S[-7, -1, Infinity] - 81*S[5, 3, Infinity])/
    64 + S[2, Infinity]^2*(-S[-1, Infinity]^4/30 + 
     (4*S[-1, 1, 1, 1, Infinity])/5), S[-3, -1, -4, Infinity] -> 
  (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/40 - (13261*S[2, Infinity]^4)/
    4200 + (39*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (1407*S[3, Infinity]*S[5, Infinity])/128 - 
   (4445*S[-1, Infinity]*S[7, Infinity])/128 - 
   S[2, Infinity]*S[-5, -1, Infinity] - 
   (3*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/64 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/240 - (7*S[-1, 1, 1, 1, Infinity])/
      10), S[-3, -2, 3, Infinity] -> (3953*S[2, Infinity]^4)/5600 + 
   (9*S[2, Infinity]*S[3, Infinity]^2)/16 - 
   (147*S[3, Infinity]*S[5, Infinity])/32 + (19*S[5, 3, Infinity])/128, 
 S[-3, -2, -3, Infinity] -> (-1147*S[2, Infinity]^4)/14000 + 
   (9*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (15*S[3, Infinity]*S[5, Infinity])/64 - (27*S[5, 3, Infinity])/40, 
 S[-3, -3, 2, Infinity] -> (-20261*S[2, Infinity]^4)/28000 - 
   (45*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (415*S[3, Infinity]*S[5, Infinity])/64 + (907*S[5, 3, Infinity])/640, 
 S[-3, -3, -2, Infinity] -> (-57227*S[2, Infinity]^4)/28000 + 
   (45*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   (909*S[3, Infinity]*S[5, Infinity])/128 - 
   (2667*S[-1, Infinity]*S[7, Infinity])/128 - 
   (3*(2240*S[-7, -1, Infinity] + 117*S[5, 3, Infinity]))/640, 
 S[-3, -4, 1, Infinity] -> (11317*S[2, Infinity]^4)/16800 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/2 - 
   (119*S[3, Infinity]*S[5, Infinity])/16 + (207*S[5, 3, Infinity])/128, 
 S[-3, -4, -1, Infinity] -> (-284089*S[2, Infinity]^4)/84000 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (21*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-225*S[-1, Infinity]*S[2, Infinity])/16 + (1611*S[3, Infinity])/128)*
    S[5, Infinity] - (889*S[-1, Infinity]*S[7, Infinity])/64 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] - 
   (7*(1600*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/640, 
 S[-4, 3, 1, Infinity] -> (4199*S[2, Infinity]^4)/3500 - 
   (S[2, Infinity]*S[3, Infinity]^2)/4 - (169*S[3, Infinity]*S[5, Infinity])/
    32 + (2413*S[-1, Infinity]*S[7, Infinity])/128 + 
   (1520*S[-7, -1, Infinity] + 179*S[5, 3, Infinity])/160, 
 S[-4, 3, -1, Infinity] -> (14849*S[2, Infinity]^4)/56000 - 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 - 
   (63*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((27*S[-1, Infinity]*S[2, Infinity])/8 + (495*S[3, Infinity])/128)*
    S[5, Infinity] + 6*S[2, Infinity]*S[-5, -1, Infinity] + 
   (-4480*S[-7, -1, Infinity] - 729*S[5, 3, Infinity])/640, 
 S[-4, 2, 2, Infinity] -> (257743*S[2, Infinity]^4)/168000 + 
   (S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/8 - (145*S[3, Infinity])/16)*
    S[5, Infinity] + (1651*S[-1, Infinity]*S[7, Infinity])/64 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] + 
   (520*S[-7, -1, Infinity] + 99*S[5, 3, Infinity])/40, 
 S[-4, 2, -2, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 + 
   (13463*S[2, Infinity]^4)/84000 + (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/8 - (81*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/4 + (1077*S[3, Infinity])/64)*
    S[5, Infinity] + 4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (639*S[5, 3, Infinity])/320 + S[2, Infinity]^2*(-S[-1, Infinity]^4/8 + 
     3*S[-1, 1, 1, 1, Infinity]), S[-4, 1, 3, Infinity] -> 
  (14369*S[2, Infinity]^4)/24000 + (5*S[2, Infinity]*S[3, Infinity]^2)/8 - 
   (35*S[3, Infinity]*S[5, Infinity])/8 + 
   (635*S[-1, Infinity]*S[7, Infinity])/128 + 
   (1600*S[-7, -1, Infinity] - 221*S[5, 3, Infinity])/640, 
 S[-4, 1, -3, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 - 
   (281*S[2, Infinity]^4)/480 - (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/16 - (27*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (75*S[3, Infinity]*S[5, Infinity])/32 + S[2, Infinity]^2*
    (S[-1, Infinity]^4/16 - (3*S[-1, 1, 1, 1, Infinity])/2), 
 S[-4, -1, 3, Infinity] -> (7963*S[2, Infinity]^4)/33600 + 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (87*S[2, Infinity]*S[3, Infinity]^2)/32 - 
   (975*S[3, Infinity]*S[5, Infinity])/128 - 10*S[2, Infinity]*
    S[-5, -1, Infinity] + (2240*S[-7, -1, Infinity] + 289*S[5, 3, Infinity])/
    128, S[-4, -1, -3, Infinity] -> (128087*S[2, Infinity]^4)/42000 + 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/64 - 
   (933*S[3, Infinity]*S[5, Infinity])/64 + 
   (4445*S[-1, Infinity]*S[7, Infinity])/128 - 
   S[2, Infinity]*S[-5, -1, Infinity] + 
   (1600*S[-7, -1, Infinity] + 153*S[5, 3, Infinity])/80, 
 S[-4, -2, 2, Infinity] -> (-3*S[-1, Infinity]^2*S[2, Infinity]^3)/4 - 
   (124241*S[2, Infinity]^4)/168000 - (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/8 - (15*S[2, Infinity]*S[3, Infinity]^2)/16 + 
   (19*S[3, Infinity]*S[5, Infinity])/64 - (109*S[5, 3, Infinity])/320 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/8 - 3*S[-1, 1, 1, 1, Infinity]), 
 S[-4, -2, -2, Infinity] -> (3371*S[2, Infinity]^4)/5250 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/16 - 
   (183*S[3, Infinity]*S[5, Infinity])/64 + 
   (889*S[-1, Infinity]*S[7, Infinity])/64 + 
   (2240*S[-7, -1, Infinity] + 333*S[5, 3, Infinity])/320, 
 S[-4, -3, 1, Infinity] -> (3*S[-1, Infinity]^2*S[2, Infinity]^3)/8 + 
   (1961*S[2, Infinity]^4)/5600 + (21*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/16 - (33*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (701*S[3, Infinity]*S[5, Infinity])/128 - (207*S[5, 3, Infinity])/128 + 
   S[2, Infinity]^2*(-S[-1, Infinity]^4/16 + (3*S[-1, 1, 1, 1, Infinity])/2), 
 S[-4, -3, -1, Infinity] -> (104263*S[2, Infinity]^4)/28000 + 
   (9*S[-1, Infinity]*S[2, Infinity]^2*S[3, Infinity])/16 - 
   (81*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((225*S[-1, Infinity]*S[2, Infinity])/16 - (789*S[3, Infinity])/64)*
    S[5, Infinity] + (2667*S[-1, Infinity]*S[7, Infinity])/128 + 
   3*S[2, Infinity]*S[-5, -1, Infinity] + 
   (7*(1600*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/640, 
 S[-5, 2, 1, Infinity] -> (-37951*S[2, Infinity]^4)/42000 + 
   (S[2, Infinity]*S[3, Infinity]^2)/2 + (37*S[3, Infinity]*S[5, Infinity])/
    16 - (127*S[-1, Infinity]*S[7, Infinity])/8 + 
   (-5120*S[-7, -1, Infinity] - 947*S[5, 3, Infinity])/640, 
 S[-5, 2, -1, Infinity] -> (-2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 - 
   (4157*S[2, Infinity]^4)/12000 - (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/2 + (9*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((-147*S[-1, Infinity]*S[2, Infinity])/32 - (435*S[3, Infinity])/64)*
    S[5, Infinity] - 4*S[2, Infinity]*S[-5, -1, Infinity] + 
   (2240*S[-7, -1, Infinity] - 369*S[5, 3, Infinity])/640 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/15 - (8*S[-1, 1, 1, 1, Infinity])/5), 
 S[-5, 1, 2, Infinity] -> (-32849*S[2, Infinity]^4)/42000 + 
   (S[2, Infinity]*S[3, Infinity]^2)/8 + 
   ((31*S[-1, Infinity]*S[2, Infinity])/32 + (97*S[3, Infinity])/32)*
    S[5, Infinity] - (1143*S[-1, Infinity]*S[7, Infinity])/128 + 
   (S[2, Infinity]*S[-5, -1, Infinity])/2 + 
   (-45*S[-7, -1, Infinity] - 7*S[5, 3, Infinity])/10, 
 S[-5, 1, -2, Infinity] -> (20473*S[2, Infinity]^4)/42000 + 
   (3*S[2, Infinity]*S[3, Infinity]^2)/2 + 
   ((-31*S[-1, Infinity]*S[2, Infinity])/16 - (633*S[3, Infinity])/128)*
    S[5, Infinity] - S[2, Infinity]*S[-5, -1, Infinity] - 
   (207*S[5, 3, Infinity])/320, S[-5, -1, 2, Infinity] -> 
  (2*S[-1, Infinity]^2*S[2, Infinity]^3)/5 + (1523*S[2, Infinity]^4)/84000 - 
   (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   (103*S[3, Infinity]*S[5, Infinity])/16 + 5*S[2, Infinity]*
    S[-5, -1, Infinity] + (-210*S[-7, -1, Infinity] - 31*S[5, 3, Infinity])/
    20 + S[2, Infinity]^2*(-S[-1, Infinity]^4/15 + 
     (8*S[-1, 1, 1, 1, Infinity])/5), S[-5, -1, -2, Infinity] -> 
  (7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - (132361*S[2, Infinity]^4)/
    84000 - (15*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   (1287*S[3, Infinity]*S[5, Infinity])/128 - 
   (2667*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*S[2, Infinity]*S[-5, -1, Infinity])/2 - 
   (3*(1600*S[-7, -1, Infinity] + 171*S[5, 3, Infinity]))/320 + 
   S[2, Infinity]^2*((-7*S[-1, Infinity]^4)/120 + 
     (7*S[-1, 1, 1, 1, Infinity])/5), S[-5, -2, 1, Infinity] -> 
  (2083*S[2, Infinity]^4)/5250 + (3*S[2, Infinity]*S[3, Infinity]^2)/4 - 
   (421*S[3, Infinity]*S[5, Infinity])/128 + (243*S[5, 3, Infinity])/640, 
 S[-5, -2, -1, Infinity] -> (-7*S[-1, Infinity]^2*S[2, Infinity]^3)/20 - 
   (215129*S[2, Infinity]^4)/84000 - (9*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/8 + (33*S[2, Infinity]*S[3, Infinity]^2)/32 + 
   ((-225*S[-1, Infinity]*S[2, Infinity])/32 + (201*S[3, Infinity])/32)*
    S[5, Infinity] - (889*S[-1, Infinity]*S[7, Infinity])/64 - 
   2*S[2, Infinity]*S[-5, -1, Infinity] - 
   (3*(2240*S[-7, -1, Infinity] + 123*S[5, 3, Infinity]))/640 + 
   S[2, Infinity]^2*((7*S[-1, Infinity]^4)/120 - (7*S[-1, 1, 1, 1, Infinity])/
      5), S[-6, 1, 1, Infinity] -> (5101*S[2, Infinity]^4)/28000 - 
   (S[2, Infinity]*S[3, Infinity]^2)/4 - (31*S[3, Infinity]*S[5, Infinity])/
    32 + (635*S[-1, Infinity]*S[7, Infinity])/128 + 
   (50*S[-7, -1, Infinity] + 9*S[5, 3, Infinity])/20, 
 S[-6, 1, -1, Infinity] -> (17*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + 
   (7321*S[2, Infinity]^4)/28000 + (3*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/4 - (3*S[2, Infinity]*S[3, Infinity]^2)/4 + 
   ((3*S[-1, Infinity]*S[2, Infinity])/2 + (63*S[3, Infinity])/32)*
    S[5, Infinity] + S[2, Infinity]*S[-5, -1, Infinity] + 
   (9*S[5, 3, Infinity])/20 + S[2, Infinity]^2*(-S[-1, Infinity]^4/30 + 
     (4*S[-1, 1, 1, 1, Infinity])/5), S[-6, -1, 1, Infinity] -> 
  (-17*S[-1, Infinity]^2*S[2, Infinity]^3)/40 + (3541*S[2, Infinity]^4)/
    28000 - 2*S[3, Infinity]*S[5, Infinity] - 
   S[2, Infinity]*S[-5, -1, Infinity] + 
   (70*S[-7, -1, Infinity] + 9*S[5, 3, Infinity])/20 + 
   S[2, Infinity]^2*(S[-1, Infinity]^4/30 - (4*S[-1, 1, 1, 1, Infinity])/5), 
 S[-6, -1, -1, Infinity] -> (-9*S[-1, Infinity]^2*S[2, Infinity]^3)/20 + 
   (28411*S[2, Infinity]^4)/28000 + (9*S[-1, Infinity]*S[2, Infinity]^2*
     S[3, Infinity])/16 - (9*S[2, Infinity]*S[3, Infinity]^2)/64 + 
   ((45*S[-1, Infinity]*S[2, Infinity])/32 - (297*S[3, Infinity])/64)*
    S[5, Infinity] + (889*S[-1, Infinity]*S[7, Infinity])/128 + 
   (3*(40*S[-7, -1, Infinity] + 3*S[5, 3, Infinity]))/20, 
 S[7, 1, Infinity] -> (54*S[2, Infinity]^4)/175 - 
   S[3, Infinity]*S[5, Infinity], S[7, -1, Infinity] -> 
  (963*S[2, Infinity]^4)/5600 - (45*S[3, Infinity]*S[5, Infinity])/64 + 
   (127*S[-1, Infinity]*S[7, Infinity])/64, 
 S[6, 2, Infinity] -> (-18*S[2, Infinity]^4)/125 + 
   2*S[3, Infinity]*S[5, Infinity] - (2*S[5, 3, Infinity])/5, 
 S[6, -2, Infinity] -> (-38973*S[2, Infinity]^4)/28000 + 
   (189*S[3, Infinity]*S[5, Infinity])/32 - 
   (381*S[-1, Infinity]*S[7, Infinity])/32 - 
   (3*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/160, 
 S[5, -3, Infinity] -> (14793*S[2, Infinity]^4)/5600 - 
   (813*S[3, Infinity]*S[5, Infinity])/64 + 
   (1905*S[-1, Infinity]*S[7, Infinity])/64 + 
   (3*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/64, 
 S[4, 4, Infinity] -> (26*S[2, Infinity]^4)/175, 
 S[4, -4, Infinity] -> (-97873*S[2, Infinity]^4)/28000 + 
   15*S[3, Infinity]*S[5, Infinity] - (635*S[-1, Infinity]*S[7, Infinity])/
    16 + (-1600*S[-7, -1, Infinity] - 153*S[5, 3, Infinity])/80, 
 S[3, 5, Infinity] -> (24*S[2, Infinity]^4)/175 + 
   S[3, Infinity]*S[5, Infinity] - S[5, 3, Infinity], 
 S[3, -5, Infinity] -> (69537*S[2, Infinity]^4)/28000 - 
   (195*S[3, Infinity]*S[5, Infinity])/16 + 
   (1905*S[-1, Infinity]*S[7, Infinity])/64 + 
   (3*(1600*S[-7, -1, Infinity] + 171*S[5, 3, Infinity]))/320, 
 S[2, 6, Infinity] -> (446*S[2, Infinity]^4)/875 - 
   2*S[3, Infinity]*S[5, Infinity] + (2*S[5, 3, Infinity])/5, 
 S[2, -6, Infinity] -> (-43811*S[2, Infinity]^4)/28000 + 
   (51*S[3, Infinity]*S[5, Infinity])/8 - 
   (381*S[-1, Infinity]*S[7, Infinity])/32 - 
   (3*(40*S[-7, -1, Infinity] + 3*S[5, 3, Infinity]))/20, 
 S[-1, 7, Infinity] -> (-69*S[2, Infinity]^4)/224 + 
   (45*S[3, Infinity]*S[5, Infinity])/64 - 
   (63*S[-1, Infinity]*S[7, Infinity])/64, S[-1, -7, Infinity] -> 
  (24*S[2, Infinity]^4)/175 - (63*S[-1, Infinity]*S[7, Infinity])/64 - 
   S[-7, -1, Infinity], S[-2, 6, Infinity] -> 
  (31963*S[2, Infinity]^4)/28000 - (189*S[3, Infinity]*S[5, Infinity])/32 + 
   (381*S[-1, Infinity]*S[7, Infinity])/32 + 
   (3*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/160, 
 S[-2, -6, Infinity] -> (-2201*S[2, Infinity]^4)/28000 + 
   (3*S[3, Infinity]*S[5, Infinity])/2 - (9*S[5, 3, Infinity])/20, 
 S[-3, 5, Infinity] -> (-3111*S[2, Infinity]^4)/1120 + 
   (765*S[3, Infinity]*S[5, Infinity])/64 - 
   (1905*S[-1, Infinity]*S[7, Infinity])/64 - 
   (3*(320*S[-7, -1, Infinity] + 27*S[5, 3, Infinity]))/64, 
 S[-3, -5, Infinity] -> (2229*S[2, Infinity]^4)/14000 - 
   (3*S[3, Infinity]*S[5, Infinity])/4 + (207*S[5, 3, Infinity])/320, 
 S[-4, 4, Infinity] -> (90143*S[2, Infinity]^4)/28000 - 
   15*S[3, Infinity]*S[5, Infinity] + (635*S[-1, Infinity]*S[7, Infinity])/
    16 + (1600*S[-7, -1, Infinity] + 153*S[5, 3, Infinity])/80, 
 S[-4, -4, Infinity] -> (727*S[2, Infinity]^4)/5600, 
 S[-5, 3, Infinity] -> (-73347*S[2, Infinity]^4)/28000 + 
   (45*S[3, Infinity]*S[5, Infinity])/4 - 
   (1905*S[-1, Infinity]*S[7, Infinity])/64 - 
   (3*(1600*S[-7, -1, Infinity] + 171*S[5, 3, Infinity]))/320, 
 S[-5, -3, Infinity] -> (-309*S[2, Infinity]^4)/14000 + 
   (93*S[3, Infinity]*S[5, Infinity])/64 - (207*S[5, 3, Infinity])/320, 
 S[-6, 2, Infinity] -> (33801*S[2, Infinity]^4)/28000 - 
   (51*S[3, Infinity]*S[5, Infinity])/8 + 
   (381*S[-1, Infinity]*S[7, Infinity])/32 + 
   (3*(40*S[-7, -1, Infinity] + 3*S[5, 3, Infinity]))/20, 
 S[-6, -2, Infinity] -> (9141*S[2, Infinity]^4)/28000 - 
   (3*S[3, Infinity]*S[5, Infinity])/2 + (9*S[5, 3, Infinity])/20, 
 S[-7, 1, Infinity] -> (-333*S[2, Infinity]^4)/700 + 
   (27*S[3, Infinity]*S[5, Infinity])/16 - 
   (127*S[-1, Infinity]*S[7, Infinity])/64 - S[-7, -1, Infinity], 
 S[8, Infinity] -> (24*S[2, Infinity]^4)/175, 
 S[-8, Infinity] -> (-381*S[2, Infinity]^4)/2800}
